{ "metadata": { "name": "" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "raw", "metadata": {}, "source": [ "Text provided under a Creative Commons Attribution license, CC-BY. Code under MIT license. (c)2014 Lorena A. Barba, Olivier Mesnard. Thanks: NSF for support via CAREER award #1149784." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "[@LorenaABarba](https://twitter.com/LorenaABarba)" ] }, { "cell_type": "heading", "level": 5, "metadata": {}, "source": [ "Version 0.2 -- February 2014" ] }, { "cell_type": "heading", "level": 1, "metadata": {}, "source": [ "Doublet" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Welcome to the third lesson of *AeroPython*! We created some very interesting potential flows in lessons 1 and 2, with our [Source & Sink](http://nbviewer.ipython.org/github/barbagroup/AeroPython/blob/master/lessons/01_Lesson01_sourceSink.ipynb) notebook, and our [Source & Sink in a Freestream](http://nbviewer.ipython.org/github/barbagroup/AeroPython/blob/master/lessons/02_Lesson02_sourceSinkFreestream.ipynb) notebook.\n", "\n", "Think about the Source & Sink again, and now imagine that you are looking at this flow pattern from very far away. The streamlines that are between the source and the sink will be very short, from this vantage point. And the other streamlines will start looking like two groups of circles, tangent at the origin. If you look from far enough away, the distance between source and sink approaches zero, and the pattern you see is called a *doublet*.\n", "\n", "Let's see what this looks like. First, load our favorite libraries." ] }, { "cell_type": "code", "collapsed": false, "input": [ "from math import *\n", "import numpy as np\n", "import matplotlib.pyplot as plt" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 1 }, { "cell_type": "markdown", "metadata": {}, "source": [ "In the previous notebook, we saw that a source-sink pair in a uniform flow can be used to represent the streamlines around a particular shape, named a Rankine oval. In this notebook, we will turn that source-sink pair into a doublet.\n", "\n", "First, consider a source of strength $\\sigma$ at $\\left(-\\frac{l}{2},0\\right)$ and a sink of opposite strength located at $\\left(\\frac{l}{2},0\\right)$. Here is a sketch to help you visualize the situation:\n", "\n", "
![image](files/resources/doubletSketch1.png)
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The stream-function associated to the source-sink pair, evaluated at point $\\text{P}\\left(x,y\\right)$, is\n", "\n", "$$\\psi\\left(x,y\\right) = \\frac{\\sigma}{2\\pi}\\left(\\theta_1-\\theta_2\\right) = -\\frac{\\sigma}{2\\pi}\\Delta\\theta$$\n", "\n", "Let the distance $l$ between the two singularities approach zero while the strength magnitude is increasing so that the product $\\sigma l$ remains constant. In the limit, this flow pattern is a *doublet* and we define its strength by $\\kappa = \\sigma l$.\n", "\n", "The stream-function of a doublet, evaluated at point $\\text{P}\\left(x,y\\right)$, is given by\n", "\n", "$$\\psi\\left(x,y\\right) = \\lim \\limits_{l \\to 0} \\left(-\\frac{\\sigma}{2\\pi}d\\theta\\right) \\quad \\text{and} \\quad \\sigma l = \\text{constant}$$\n", "\n", "
![image](files/resources/doubletSketch2.png)
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Considering the case where $d\\theta$ is infinitesimal, we deduce from the figure above that\n", "\n", "$$a = l\\sin\\theta$$\n", "\n", "$$b = r-l\\cos\\theta$$\n", "\n", "$$d\\theta = \\frac{a}{b} = \\frac{l\\sin\\theta}{r-l\\cos\\theta}$$\n", "\n", "so the stream function becomes\n", "\n", "$$\\psi\\left(r,\\theta\\right) = \\lim \\limits_{l \\to 0} \\left(-\\frac{\\sigma l}{2\\pi}\\frac{\\sin\\theta}{r-l\\cos\\theta}\\right) \\quad \\text{and} \\quad \\sigma l = \\text{constant}$$\n", "\n", "i.e.\n", "\n", "$$\\psi\\left(r,\\theta\\right) = -\\frac{\\kappa}{2\\pi}\\frac{\\sin\\theta}{r}$$\n", "\n", "In Cartesian coordinates, a doublet located at the origin has the stream function\n", "\n", "$$\\psi\\left(x,y\\right) = -\\frac{\\kappa}{2\\pi}\\frac{y}{x^2+y^2}$$\n", "\n", "from which we can derive the velocity components\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", "\n", "Now we have done the math, it is time to code and visualize what the streamlines look like. We start by creating a mesh grid." ] }, { "cell_type": "code", "collapsed": false, "input": [ "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 = np.linspace(x_start, x_end, N) # creates a 1D-array for x\n", "y = np.linspace(y_start, y_end, N) # creates a 1D-array for y\n", "X, Y = np.meshgrid(x, y) # generates a mesh grid" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 2 }, { "cell_type": "markdown", "metadata": {}, "source": [ "We consider a doublet of strength $\\kappa=1.0$ located at the origin." ] }, { "cell_type": "code", "collapsed": false, "input": [ "kappa = 1.0 # strength of the doublet\n", "x_doublet, y_doublet = 0.0, 0.0 # location of the doublet" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 3 }, { "cell_type": "markdown", "metadata": {}, "source": [ "As seen in the previous notebook, we play smart by defining functions to calculate the stream function and the velocity components that could be re-used if we decide to insert more than one doublet in our domain." ] }, { "cell_type": "code", "collapsed": false, "input": [ "def get_velocity_doublet(strength, xd, yd, X, Y):\n", " \"\"\"Returns the velocity field generated by a doublet.\n", " \n", " Arguments\n", " ---------\n", " strength -- strength of the doublet.\n", " xd, yd -- coordinates of the doublet.\n", " X, Y -- mesh grid.\n", " \"\"\"\n", " u = - strength/(2*pi)*((X-xd)**2-(Y-yd)**2)/((X-xd)**2+(Y-yd)**2)**2\n", " v = - strength/(2*pi)*2*(X-xd)*(Y-yd)/((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", " \"\"\"Returns the stream-function generated by a doublet.\n", " \n", " Arguments\n", " ---------\n", " strength -- strength of the doublet.\n", " xd, yd -- coordinates of the doublet.\n", " X, Y -- mesh grid.\n", " \"\"\"\n", " psi = - strength/(2*pi)*(Y-yd)/((X-xd)**2+(Y-yd)**2)\n", " \n", " return psi" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 4 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Once the functions have been defined, we call them using the parameters of the doublet: its strength `kappa` and its location `x_doublet`, `y_doublet`." ] }, { "cell_type": "code", "collapsed": false, "input": [ "# computes the velocity field on the mesh grid\n", "u_doublet, v_doublet = get_velocity_doublet(kappa, x_doublet, y_doublet, X, Y)\n", "\n", "# computes the stream-function on the mesh grid\n", "psi_doublet = get_stream_function_doublet(kappa, x_doublet, y_doublet, X, Y)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 5 }, { "cell_type": "markdown", "metadata": {}, "source": [ "We are ready to do a nice visualization. To get the plots inside the notebook, we use the command `%matplotlib inline` :" ] }, { "cell_type": "code", "collapsed": false, "input": [ "%matplotlib inline\n", "\n", "# plots the streamlines\n", "size = 10\n", "plt.figure(figsize=(size, (y_end-y_start)/(x_end-x_start)*size))\n", "plt.xlabel('x', fontsize=16)\n", "plt.ylabel('y', fontsize=16)\n", "plt.xlim(x_start, x_end)\n", "plt.ylim(y_start, y_end)\n", "plt.streamplot(X, Y, u_doublet, v_doublet, \n", " density=2, linewidth=1, arrowsize=1, arrowstyle='->')\n", "plt.scatter(x_doublet, y_doublet, color='#CD2305', s=80, marker='o');" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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Dtzf/esOGIUzCwvr1lPr6it+fEdLSKP3pJwg2K1AUnMdqHtK5c8jrunfP3O9TUxGi+fZb\n8dSAM2corViR0vLlKT10SC78+p+C3Y70BCODKzERa9DPDykK+fMjhLNlCzuMeucODPns2RHWkgkd\nX7mCbzVpkvl3dvcuQsusfCERnD6NvcVyIu7fxxp1hRPYsSNf9k+bBgechTNnYJC7AmPGULpunfXz\nqCrkMEsfieLuXTgbvLBqu3aU7t/PPmb1akr79rV+T5QivWjiROvnURRKGzbkO8IlS8IB++03fO+e\nPTMfExsLuWUldSgujtIyZTI7R25DzgkZX8j+/ciDcMWCnzYNHjVLED19CkvbFTH9AwfgDbPyj1JT\noRAk80d1cf8+lAWvUOGHH/gbeuZMGLWugJeXa57vxg14njxkzYpcCRaaNOFvZn9/PnspghMnwEJZ\nxZYtMIasGEHh4ZTmzs3PdzJCWBgKa1q1EmOYgoPhKefJAwXoioIiHhQFeyAmBgz106fYGzduwBs/\ndQoGwv371hyMxETkBHp7gy0YNIhd2HP7NvLWcuQAO8JzpjSEhWH9dOxoPpfx778RlbCao1mjBt+Q\n8fLiyxcR9OjBL3iYPRt5niwEBWHfuAKucKQoxdrLl8/aOQ4cQA6nnx8/J/v6deTQsXSfooDtP3rU\n2n1RCifRw8M1eXaLFmFNsfaLw0HpO++A+MmSBcaccw6xqkJuiRS5GUFRwKSOGJH5b25DzgnOL+Sv\nvxCes5p0rihIqOYlua9aBavdTLKyM5o1gzfNwsaNENSuUHJNmoDlY2HZMixGFkJDsSFc8Q6GD+e/\nAxG8fo3wMQ+5c/Np859+QniMhZ49+e9SBKNH89ccD4oCI5bH8LJgsyFUZ9Y4DQqCMpg8mW9Mvn6N\nMH62bDjeVVXQGZGQAAZt5UqssXr18O1LlECRypdfwrHJk4fSIkXw/ipUQIiwSxdKCxfGcVmzQr40\naQIhP20aDLQLF8TvOyQEhn/evGAF5s0zDvtev45ijB9+gHEpgqQkFGBUqWK+MnbgQEQJrDgCBw4g\n4ZwlqxYsQCWfVcycyTfSNm3Ce2Hh0iUwwa5A0aKuCTsuXSqWJsJCp05Y+wULgrllGfn9+lE6fjz7\nfHv2YO26gi1v0gR62yqeP+eHSinFWiEEzs7Ll/rHLFyIfW6lsMvfH/JDL3XHbcg5wfmFqCqo0lat\nrBs74eGoXjtyxPgYVYUBNnKktWtRivYJvNi+osCQ27TJ+vVOnICwYb2nhAQYabz8qBo1XFO9umMH\nwghWoaqUfvwxnwkqVgzhBhZq1MC7YqFBAwg3q6hQwVqJO6WUbtuGNWJFyA4bJhZWN7q+t7eYIbl3\nL4yU3r2th5M1KAoMq9mzEUbKnx9roWxZpCZMnYpv9fix3POpKvLILl9GVffcufC227ZF/tWnn8Lo\n+v13hBZ5uZeKAtni44P35eurb9ApChwqT08Y+SLKRVFghDdpYi7vKDUVa8hKdb6qQtmz5EJUFIxo\n2fxHZxw+jHfPwvHj/DzWa9co/e47a/dCKZ7dVVXsHTvi+1vByJEw0IoVQxpIvnz68iE+HvKeV4Fd\nvbprdNDx4wjlWyUBtPAzLzyblITIF8vov3YNBuGDB+bvZ+dOOIpGeehuQ84Jei8kNRUhGlcwO0eP\nIreFVRgQGQmB5YqeTr//zs/tOn4cCt8Vi79CBX7orHdvMCUsLFyIvAqrCA8Hk+YKxrFIEYQlWChf\nHl44C5UqIW+She++g6drBVpfPis5Q6pKae3a1ozK3bthAJgpDli3Di0EeP0YExKwrvLnt264Ugrj\nZv9+nDNXLjBt/v5wDB4+fNtgi4y0bjjoIT4eobQRI7CuPvsMrP7UqTAsWUbj8+eU9uoFR27iRP37\ne/kSDmqRInzHQsP8+VDaZloXhYSAubTS23HLFn5fsCZNrPdMDAuDocvCnTswZFi4dQv5U1YREYFv\n6QrkzWvNqKAUBvl338HYyZ0boXs9LF0KYoKFoCCsKatFVA4H9ocrijg2b4ac5snO/v3hdBkhLg62\nw/r15u/lzh0YghcvGh/jNuScYPRCwsOhJFyRbDpuHKW1arEX7r592HAxMdaulZKCMA5PEbdsibCO\nVWzfjpwCFntz/TooedbzR0bifcfFWb+nn37iGwIi6NwZyfIstG+PilMWmjblJ39XqWK+qlPD9u3w\nvq3g2DGE+s2ycZGRMMR4VW168PdHOJUX2ggKwhrv0sVaf7uYGCQRt2gBA7h6dYRoHj5k/27OHCjZ\n334zH3oUvb+dOykdPBhsUb58cNRYvcwePsSazJ4dISA99m3nThgbvr5iRv/ChZBNZoy5VavAZJp1\nLux2MCCs/bN5M79CkgdVBYPIcj4iIiDrWLh9G8nyVhEUBBltFcHBkC1WQ5jr1yMvLH9+44iPqsLY\n48nDJk1cU1W/bBnSN6w+24sXMOJ5jnRAAFImjHI/VRXfTKRIzghRUWDXeXaH25BzAuuF3L6ND2yV\nKXM4UE3Jq0ocNAgJylYX5tGjELyssOCjR1BGvBYiPDgcYh5+1aoImbEgMg1CBH37uiZnok8f5B+x\n0KoVkrtZqFCB7V1RSumHH1rLp6AUSci8SmIemjUzn6unqjCKWFMgnI+/fBkJ1DlzIu+EVd1qt8OQ\nyZ6dv5ZYuHcPzFv58njeVauo9HSXe/cQEv30U6ztrl2hnObNw9qbPBkO3KhRYNT++AMGR1AQmDEz\njPHVqwhvZckCZbh3rzFLd/Mm9lPBglifzjLl9WsYHNWri8mARYsgU4KD5e5Za5hqJboxaRLYRiPE\nxKABttVqdR4rrk13YMFVodXVq9nMjygWLbKeH0cp9sv77+vvk8BApFIcOwYHgaW/rl0D4201j/XN\nGxTyWI1iqCpYvQkT2Me9eIHrsRzUmTPhDJiV46mpaEkk0r3Abcg5gfdCDh/GB3z0yNp1IiKgqOrV\nMw7LpKTA4l+50tq1KMXmHT6cfcyvv7qmWnTFCmwGFtatg1JhYedO1/RS27rVNXlyfn4w1Fjo0weM\nBQsVK7JDq8nJMOSswstLPGSmhydPkIwv04MsI9avR3K6iCC7cAEhmiJFwKB+8gmYJyPExsIg6NnT\nOMGYBVVFSkHjxjAE/f3F2DRFgfGyezeMMx8fMJYffQSG7Ouvodw9PVH52L8/lJqvL64xZQqMu19+\ngbf+/fc49sMPwSp6e6O9ypw5cMBE3l1CAvZcxYp4h/7+xjlJ586ljzJzNtgUJZ0FFWm7tHgxQs6y\no8yePUOoyCgcx8PLl0iXYLH1tWpZz7Ft2pTdJkhV+X0jL150TdX46NF840IELVq4JqpUq5axMb5z\nJxjRJk3QL/PxY2MGtlUrSmfMsH4/Q4eyjXtRLF6M78VijB0O6CWWM3L6NOSK2TF/qopoSsuWYk6e\n25BzgsgLWbIE9LTV8uZWrSj917+gLCdO1A8Lac3/eLlZPERGYmGxQoxxcWBCeDlePKSloVqPdZ6k\nJBiyAwYYe2xpaVBysl6/M6Kj4aFbnSvYpw8MDJaH+dtvfIHr5QWFaoSXL+EsWEFKCu7VCivx668w\nQszg5UsYFaIeckIC8nbWrwfTw1rzT57AGOnfXz6vxmbDNcqXR37TkiV8NuD5c+SG1auH9Zg3L9ir\nkSMRij1yBAychweYNjPsQlISWL1Dh8DkTZ6MdfLZZzBs//gDe5cn1K9fx54qXx7fTk9GpaamjyZb\nvz7zet63D885bx4/GrBgAVgXLbx0/76Y4lm8GMrQTPELpVBwLIdp1iwY0lYwZAjfyOCNkzpzxjWj\nsJo35zP9PNjtYo3beQgLAwtsVHgREAAmycMDa8jTU79A5s4drEGrBRxaDpnVGenBwWJVquPHI2/Y\naO2+egVnyEqrmAkTULQlKr/dhpwTRF/Ib7+JD4Y2wvbtYNxKlkT1W7Zs+opv1Sp8VKuhtnXr4CWx\nlN+aNa6ZkbhgAb98/913scm7dDE2skaMwKQKq6hSBULVCjp0gPHJqviaORMKgIVq1dgJ+XfuiPWs\nYyEoCMLGLFJTwWKaZZ59fNjzBvVw9CgE+9KlCD/r4dw5hGLmzJFLOVBVMDT16iG/bO9e4zWuqnCg\nJk7EfWTNCkZ7+3b9nNWdO8GYWM1n1cObN5Tu2gXjrFgxKJq2bbEGWYrr1SuEXbNlAwuopxAuXcI6\n+/nnzKxmcDCSvX/9lW9sDRqEVBGtxYwIC6yqYEOXL+cfq4cjR9jNzIODwRpZSUuZOZMfxShYkM26\nHD/Or34VQfny4u1ijHDuHL6pVcybx5btx47BiStXDrrNKMd0+HDrKS8ac8Xr+ceD3Y41zEsjCQwE\n2WEUBUhLQ3qCFZ21dSuYbplIg9uQcwIhRMhLVBQIVCttSUJCoJTatoVHHxqq781ruUYDBpi7Tsbz\neHtT+uefxscoCkI0VnPTkpPxbEYMYEoKwhJffYUQWY0a+p7tjRv8ZpIi8PW11k9NUfA8778P5WjE\nEm7axA+/1qrFbnx56ZKxISOKefOsJdlaCWufPAlGVsbTvnEDRv2JEwiTzJmT+ZiNG2HIyPaze/gQ\nRmnx4uzWP/fvw/gsVAis2+DBUMSumBTgKjx/jlSL3r2xdzp0QBjUyGB58ADr8ZtvYPw576PUVKQM\n6K2V+Hg4A23bstlshwMjAXv2xD/z54s9y8WL2FNmKn4dDvyWFakoWNB8+JZSVD/yCgyKFGFXgO7b\nx6+y5SElBe1urDryY8YgR9MKHA4UOLCiLVu2wOFt1Mg4LePWLThtVqu9N2xA8YxV/TBhAnQjS5eH\nhyMSwJIhAweKTbowwrFj5kZnug05JxBCaM+eYp5caio8ULPhJ1WFMA4JgWfMChW8eYP+OFZmH1KK\na2XJws6BuXwZoT2rsyTnzDGuHgsPh+Lu1w8CZtw445yWypXBSljB6dMYbWIWZ8/CuyxdGvlNVavq\nMxVnzvAr2Zo0YT/P2bP8c/DQqxdYUbNo2dJcJZndjuTuzZvFfxMaCg9eaxuQlJRZEC5dCmNMhpVI\nTARTli0bPH8jY+TMGeRDeXqiEOHqVXEmR1URajp0CGG4sWNh+DRrhvCrtzc89IoVoXBKlIBir1wZ\nrOWYMTCwjhyBcyAT/n/9GqxR4cJY20uWGCvO8+chq+rX12emjZ43JQV7uGFDYyezUiXs3+++gxKT\nGbPUqZN5B2vwYPbs0e7dxY1KPQQGGjsz27Yh4b1YMYTEjx/XT43ZsAHrwQquXLHO0FOKXE5WSocI\n9u3j5/y1aIH9zNpDLVpYj7S8eQNjPijI2nmCgmA8sXrdORxwalgNzVetQh9Vs5XzmjMrM4no9Wvs\nAbch5wRCCPXyAisgIsxjYqDgZ882d73Zs/ExHj3CYmIZWBcv4kObKfvPiKpVUTrO8iz697c+9y4l\nBUyAnvf28CEU0KNHYFlYCfWrV1svVrDbESLjNaY0wvDhYGt8fMCItG+vH3Z89AiViyz4+LD7CrEU\niCgqVTJfXf3mDdpvmBmpNH8+QkmihlBaGu6VNbNyxQooBpkw7759YAU7dNBv4+JwoCdc5cpgbhYs\n4Oej2O3YgwsXYn/UqIE15eEBlnXQIIQKN21CGHbfPhRHnTwJZXH1Khiie/fgWKxdCyHcrRveWf78\nKJTIkwfpDb6+YChFGgEfOgRjNEsW3IdeTpKq4plz5oSBK2o02mx4jzVr6hcYPHiA/eDhARn27bdi\n56UUxlDWrOaGiGvOlRHWruWz4yzcvg3DWw/jxoHFLFEC+zVrVv1Q2MKFYE+tYMUK622EQkLwbczm\nJGpo2JBdfJeYCB3FYkovX4YBZrWqeMAA6+82Ph4MPK/q3c8PTpnR+7t4USy/zgjPn0PGyTRFjo+H\ngzh8uNuQywRCCI2JgfcsOk7o6VMIcqudqfftg0fLMjZmz4ZQtdK899o1GHJZs0LQ6QnRmBgIfF6b\nDB7mzQPF7gyHA5WKlMI7Yyny5GSwKmYrgDT4+JjvV3ThAkK/U6ey82ZevEBYgRXS6dUL7IkRDh9G\nvoZZKAqS5M3Otly2zFzPqthYCHoZ1mzoUDCUeqEIhwPGSc6c4g1Mk5MR3vPy0s9DtNmgiIoUQd7p\n1q1s5ZaUhDBz585Yg23b4vyzZyMM4uq+cTYblO6RI1Ae33+PSQVNmyIPiDdV4dkzGGkFCiBXU49V\nDw/HOy/8asxcAAAgAElEQVRbFiEuESgKHLu2bY2rRW/dgpNICL/3XkZMmmRuko2iIARu9AxadazZ\nPDlWE96ICBjNxYtjTJeRTJg6Vbz9jhEGDbJe2TlnjvWOBCEheB8sA2zOHMhzFho04Ldx4sFVUSNf\nXzC3LAQEgJAwmhTz8iXk3o4d5u4hJgYhWxmGMiUFNkevXljfbkPOCdoLiYiAUSXaJPfmTXg8hw9b\nu/6UKRDeRpVvrmgy+OYNKho9PCDss2bVL7PfvBkhGys5QqmpqLpjMY0XLmBRsq4zcSJ/XAoPf/9t\nPc/w4EF2Ndz8+cijY82vHT+eHfY8dIgvXFgICdE3nkXRpo25UPaECXI9qrZvBwuVURgrCtiqgQPB\nChIink5w7x7YIB8f/dybkychMHv2BNNlpOBfv0bRT7NmuIfataF4nj/XP/7JE3jGq1f/e/LpIiMR\nouvcGcqraFEYwEFBxs8QGQnW0NMTFZzO7Juqgj3Uws4iOT2qilSIOnXYbF7jxmg/JJonFBuL+zBT\nWDNxIip6jdCsmfmKf4cDjK2Rod+/P9rNsCpXp0xB+NsKOnWSC7fpoWdP6yP/xo9nt9zQUo1Y+XOn\nTmH9WCEibDbopY0bzZ+DUuypokXZeXpPnkB/GUU3kpOx9822hklKgvMzYYK4w2GzwRFr2zZ9bboN\nOSdkfCFhYQj/iVbWnD4NwWmFxVJVhFXatzf+sHFxyM1Yvdr8NT7/HN5ilSpg5PSUlKqmtz6wglWr\nkCfEWqi1a+M4I2ghWCt0/Js3eG4rCbavXsETN3qWSpXSK5GN8nMmTgRrYoSAAGsJ0ocPwzA2g/h4\nsHmy7+jNG7l5glqpv8bKUgrjoGBBvL8OHbD3RKvs1q3D+ZYuzfxtwsNhBOXJA+NR79upKoR1164w\n3po1gzEn0mJIVcGg1a4NhmjuXBgnycn4d2QkWPaQELyfO3cgW8wwRYoCRv2vvxAS+v57PLuRYXXn\nDhiQwoXBLDpf8/FjKJLu3cWqbjWWtEMHY0PNZgMjKsMijR0LY0MWR46kt/eYMyez0dW6tbXxSJ9+\napz2ERwMR4PV77B7d2tTC2w23IOViSUREVjTVmRnfDwcflZUZPFiVIUbQVWxLqz2sZsyBY6ClYpk\nTZ+wxsUlJ6Py1mgdqyr2Qdu25u7FZoPTw9pLznA4wNC2avW20+g25Jzg/EKeP4dy0aui08Pu3QgF\nWen7lpSEqkUWG3j7Nhbi9evmrlGyJH77449sQ+3xY3aVpggcDjAhrBmsgYEId7HCXI0bWx/l0qCB\nXCK+HvLm1Q8d3b+Pb9+jB3JosmXTD1svWcJm9Q4fRj6GWSxZYp7R274dxrssxo+HsSQCux2Oil54\nJTIS7LaHB4Q1r7lyaioUabFimUO6DgeYT09PhLf0FLKigH2sXBmG0aJF4kZsfDxYsaVLcQ+1aiEE\nQwj++eADKFAPD+QE5cuHNV6lCpi1jz/GPmzcGMz4nDlIr7h7V6xC0eEAy+LtjXU3frxx+OfgQexB\nvfdpt+P6xYuL5d8mJeF9scKhISFomSEqn6Kj4SAZsZ56+PNP5B1+/jkM5C++yFy9OHUqipPMwtPT\n+J1SihZKrAr0Bg34s6dZuHQJ380KFi+2Prd6zhwYxUZIS8P6ZhVTbNuGcL6V1lb371tPs0lNxdpk\nhXdVFUyoj4+xkcaLnrGgKGi71aCBOIuvKAiP166d+ZpuQ84Jei/k6VOEgHhKRcOKFfBaZYSSM168\nQPIjq6ngxo2ghs3kCezdC2bvyRMoGlauzJ9/gg634gHt3g2mxchQU1UwAyy6/OhRCDUr97F8ubUE\naErxez0vf+bM9L53Q4aAMc3IOGmYOBGK3QiBgQhRmMWoUeZHIHXrxs5X1INsaOyvv4x7fEVEYK+t\nXs1vXhoXB6HWq1dm4+v+fVRb1qiRnq+4aRPOXawY1mLOnDC2KlRA2J3lRKgqzjNrFgyvfPmQnlCh\nAlg8Pz+wqF99hWa+Iq1XEhJgtO7ciXfSvz8YjSJFYFSVK4fzBgXxk9Rv305vSdK5sz4zarezlc78\n+XgnIv0Wo6PxHlkycdkyMKqiCfbDh7PZLWesXQvju25dGGt6BVGHDlnr45YvHzsvMUcO9kzkcuWs\nNVifO9ccU5kRtWubz9+iFN+vQAG2kbZsGdsBtNnACltJPVIURHbMFhZqGDoUjDtLj8ydiypsIxZT\nm4VutnhuxAg4Q6ItmlQVOarVqun/xm3IOcHohTx+DAErGs6cPh1GlpVkaK0ShkX/jhsHAWalGmnt\nWpzDKG/Bbkde3tq15q+hqvyCkAMHYMyxGrWWLs2utuUhKsp6mOHPP/UVTmoqPNM9e9hVtn36YKKH\n0do4fRqsjVm0aYP8D1koCqrwZKuip0+HESKC4GBjoy81Fd/fzw/5bs2aGZ8nIgJedZ8+mdf+li3Y\nN8uWvS2sbTZcd+pUKOD338d3MhLoqgpD3NcXezl3buTubdsGRla7blwcnsnX13VNgW025PSNHAnn\nxdMTDMHmzewiluhorM/s2bFGZe/nwAFcS2T9hISAUTRqAKwoUDyibXBCQ5H7JBNGHD4cBmXJkvoR\njKgoFIuYZYFKlmQXLmXJwnakc+Y0r+wpTa+SN4uICDy/lVmmO3aw2yHZbHBoWHNHV6yAA2QFS5a8\nnRdmBtu2wbBlfbPr17F/jOTgpUuQL5cvm7uHyZNBBogSMKoKYqBSJeNCI7ch5wTWC3n4EHk2okPE\n/fxAJZutHqQUSilPHmOvz2aDgcTKueJBVTEChhWCuHYNAt6KUDp3DqEnIy9EVeFxsYy9devYeRgi\n6NHD2ribM2fYoYqHD8HI6kFVYSxlyQJqXQ+XLlkbkN2unbkpFrdv8+ffOkPz1lmzYzWoKoSoUUPq\n4cPFZguGhMCpGjfubSMsLQ3GS4EC+hNSbt6EF+zlhe/TokVmI05V8e4GDYLhVqwY9talS2wP3mpb\nBx6ePIFB1LAhQol16kA5GoVgIyPB0OXIAYNW5v5u3oThKtKD7cABJPwbhR+1FBDRLvWtW8v1P3Q4\n4PQQYtxPrGpVc+1NKIUhxRozpxfm0mCz4e9mRwOqKhwN0bxTPSxYwJ9OwbuHSpXYc2sXLWIXV71+\nDd1hZTKFluJz9675czx8iLXIY0gVxfidP32K9b5zp7l7mDMHLLLoflBVOJ7lyrHtCLch5wRCCHMe\naXAwKFURYaOqUAhVqlibJzd5MtgHo3NERSFkpDVUNYPoaCguFvXt748NayW06eMDBWyEw4ehRIw6\ndaemYiOxWEoeVq0yblQsguRkJCAb5VI5HMYJypcuIVzzwQd4Dr0WGXfv4h2YRcGCcu0fNCxciDCh\nDPbsQRsPEWgzTvW+7caNYJ5Y/QQpRQrAN99kNjJevICR1qRJZhYqKQnhZg8POGFLlsCYzvj9HA7s\nn3LlYOBNmmRNafw7kZSUzvrmyIGKt6go/WOvXIH8qVBBrhns8+dQOCIVl7weW6NHizfFPXYMlccy\nMiY6GoackdyuWZOdx8ZC+fLGij85mdKPPjL+bXAw5LJZBAcjBcOKvP3+e4SXzeLYMYT5jZyrpCTI\nMZZxNGgQqp3NQlGQImFlnFdSEtaVaHqUHmJjEREyW4W8ciVIGdH8PlVFCLZsWX7RlduQcwIhhHp6\nspupPn4MZSzSC0dRoBy7djU/YkVVwd40bWq8oa5ds1b8QCmE3TffGCuFtDSEPtasMX+NZ89Q/WSU\nP6iqELyscMKff8IgNIu4OIRXjZ5TBNWrI4HcCF5e+muoVy8kyebKBU9WL+cvLAwK2iw+/9wcC+zj\nIz+arW5dsfWQkGDcHPrpU3jsLOaDUhinhQplLlZxOCBgp07NvD8CAsDQ+fik59tNmJDucaelIW+y\nSBF8s927rc8ZNoMbN8xVu9++jcKWr75CeFsvZK2qYLK//hpTFETDbM+ewRDhMXMOB6ICRrN1k5OR\nPyjSoFpV4cSw2hXpwcvLmGXv0cP8LM5y5YxDaC9e4J0a4fBha/OOly5lz5Pl4c4d3J8Vttjbm51O\n9Mcf7L5xGiNrRdbOnm08SUcEmv7s0MG8UZyWhhzA/v3NnePvv/kj5TJCC6eWLy8WgnUbck4ghNDD\nh7H4DhwwPu7JEwg5kTCrVqXXqJF5mj0tDQqMtYg2b4aXbiUv79dfEZIxus61azAyXrwwfw0/P7aA\nOn0ahrLRu9JykqxMuGjXzpp35ufHDmf37atfNNClCwyKypWh2Favzmw4JCayPX0WUlOR+yUrbFQV\nhpZML6/gYHj8Ig7K+PH639zhgFHMa3ETFgaDzKhq2Tl3JCUFPQO9vPQZicREFC7kzg0BHRhojfmw\nivPnYcyaDdm8ekXpb79BbrVsqZ/XFRMDOfTtt8hBFMHjx2AReNXir17BqDcy1lavRr6cyDuePl1+\n7OGkSWAv9DBtmvnK1bJljR2MGzfYo7MWLYLjZhbt2lmbeT1qlLVmxOfPI/pkVFWptRwyYq619lVW\nihMePMA1zEQYNKxcCYPUbFRMVUHE9Otnbqbr3r1YR6Iki6JAdv3wg3iOq9uQc4L2Qs6eRcKjXqNc\nDU+eIEQzdSr/vDYbkrebN//3DuH284P3YrbhYmoqFhBr802fLtfw0xkJCQiBsZJj/fzY1WDjx4tP\n3tCD1WHWR46wCxIWL2Z3Um/Xzri/laqirYEZo5/HEhjh6VMIXRljxt8fFWA8vHpl3INqyhRUFbK8\n7TdvYHyIVuI+f4413KpV5vC3qiKEWr8+DB4rFYUZz/noEcKd8+bhmUaPRmFEly5gLH76CUZl27b4\n7yFDECrasgUhzxcvoDhz5kROm1kkJsKA8PREbpRzqFpVEVr28BAviHn4EEY+SxZSiqT4YsX0DXuH\nA4UD+/fzr/fqlXyC/rFjxu1vtm0zn3NapoxxyJY3Su/XX8V0gx4UBfrHbJsNhwN7RnRyhx42bGBH\nRiZPNjaeKcV6aN3avL6z2bCPreyHs2exF6wYgn5+uA8zhqBWPKTXvUAPioI8Xy8vuaIftyHnhIwv\n5MYNsACsfLiwMBhzfn58JZiaClauTRt5y37tWrFKS0WBAuvUyTzD8Pgxu7GxzYZu1lbGrGzaBCFp\nxsOhFMncrBAtDzYbDB6zeVCpqeyE1StX2C1Epk2DwjeCl5d4QmxG3L4NOl4WO3bITYNQVYQjRQRU\n3776Cddas1rWN0xOBmM3eLDYeg4MhDH0xx+Zj3/+HA5EyZLyoTsNqoqQ4/btqFKtUwdhzTx5EOLs\n1w+VphMnwhlasQJhlQMHUERx+jSMt7/+gjHXogWURM6cYFI9PFDR/N13CM1ZGS+lNUHesSPzea5d\nQzuIXr3EDKZbtyATtIKCN2/0K+hatIAs1MPOndjzIg6gbMuM6GikFOi9r4sXze0J7T6Mqla3bmVP\n2OnY0dyEFErxfbRGx2awb5/871VVfL09fw756xyZefwY6z4xEWze8eNy95ARfn7sqnIewsIg4/ft\nM38PixZhn5iJch05gv0sKmvsdqyZNm2Mq1ON4DbknOD8QrQKubFj2eNwypRBOIC36FJSwGZ16yYe\n89eaE4o2D9QaCpv1BimFF1uwoHGu1YMHCG+KhmicobUjke1ZlhEjR4q3vdDD6NHyIRxR8Dqyr1/P\nTgBnMQEsXLqEby8Lf3/kT8lcp1Ah/np/9Ei/3F9VEe7gNdoODgbrx1P+qooO7DlyZG5PoyjI88qW\nDUPqZdlqux35kJ07Y09kzw6jd/x4KAlWw1gR7N4Nw/2TT5BSUKkSlKCHBxRR9+4wBs20NgkMhKPZ\nqFHmfmhxcViDHTqIPcOePWDmwsLghOgVLYWF4b5v3sz8N1VFeFXEuDHTxDZnThjZznj+HPctg4AA\n7N18+cCK6Rm7f/3FZqQLFjQvHydNkuup54zGjeXbluzda1xJ74yOHfUN9vXr8d1GjcIxZnH6NL4n\nq48kC6mp2FNWxjru2oW8NjPN8AMDsQ9E8kIpxf02a4ZIgZnWWG5Dzgl6LyQiAsqxd29j4ysmBixV\nv358pZOUhEXeqZO4MafNV2vfXsyjDQ1FDh+rbJyHAQPY7SAWLcJ7MZv3d+cOFrtZRaixcmbz9bQx\nUVbm/rFQo4ZxxdjVqwh9GKFBA3Oe5MmTUJayaNZMrup52DCx0HbfvvoC/++/8fxmGdmMUBQo1Nq1\nM4ei7t8HM1G1qhz7qqowVocMgUKpWBFGZ0iI63PpQkLw3ZyNflVFSGju3PS2I5UrY99FRoqfPy0N\nhle5cpn3sqLAIC1cWKxFx6RJMDSXLzcOVy5dChZVT7bt2QN2jPcOIyMRXpVRanXq6DdQ1/JGZVJB\nevRAConW81CvxYoWHtdDQgImd5hd35Urm6821QrKZN6dqkKWb9vGP/bSJRg4elX706Yhn0xrMj99\nuvw7iIuzpru0QoHmzc2n/5w+jTZXZgqQzpzB84uykYmJSL1o2dK8LnUbck4weiHx8WAQWrQwDkXE\nxWERd+jAZ86SkqB4OnYUN+a0MNOgQWLK5OpVLCij/ko8pKRAWM+apf93VQWz+Pvv5s5PKfJIBg2y\n9vsBA8z/3tub3bfOCnx9jSv5kpJQ0GAk5Lp3N5cbcvCguRFbBQrIVVQ1bAhDnIXwcIQdncMSiYkI\n+em1XpGFwwGmrEaNzPlg27aBNVywQFygv3oFL75YMfx23DjxPl7/7mKJlBSwjYMG4b326SM3CpCl\nUOfMwTdhGbtt20K+NWqE7280B1dRcIxeA3FFwbs1aiKcEd26yTkzQ4ca9yjMkkWucvLsWdznBx9g\nsoJe+4yWLY2dnwsXkOBuBlrTcrMO5tixyM+UwZ49COeLMN/e3sayacAARBNat4bu+eUXuX2hqoiy\nsMa/8TB3LvKXzc7U1hoCm5lCoTFxgYFix8fE4F67djVn9N+9i7XpNuScwHohqalYmNWqGZcEJyeD\n1m7UiJ97kpQEL7J9e/GPGBuLjTJ9utjxe/eCUTA7KzUkBIvaqDAhIgLeqtlpC/HxCF+Y7fMUEQG2\nxWxS8LZt7LmnVrB3L3vmacmSxkaCvz+SiWWxb598L7jEROTziToUN24gbMQT0H5+YOScMXWqtYbH\nGux2tBVxrkhTFBhgefKId1+PjMTezpYNIa2gIDkFtGwZ+m2tXesalpGH8HAobE9P9EQ8edK6Iblm\nDULTRgUgsbEImWXNCiP388+Nz3XqFFgVPWNk8WKxPo4zZqTnoLGmK2hYuxbOkx6aNpVnZIsVo/Sz\nzyA/9VJMatc2bry9apX8PtTw99/mw5JpadA/MkUOqgqWVCQncfNm6CwjWVGyJKXvvAPCQS+8zsOK\nFWjJZHbyzsGD+F6ssWosPHoEttFMw/hjx2DEHTsmdvzLl2BBx441xxyePAndvHat25DLBN4LURRU\n6hQrZrxYbDZsxOrV+ZUnycnYGD4+4grg1St4TzNmiB2/cCF6M/GaChohIAA5Jkb5CkeOwJgz2/Zk\nzx4oBrNjZMaOFR/Y7oy0NGxcK9VdZtG0qbFHv2yZOUWwY4fxVAkj3L6N9SyKadP4LGhCAoSaczuT\niAiwI2Y77Wuw2VDUU7/+2+smPh4hlSpVxPJrYmNh9GXNimcyU2BCKZTh0aMwiPPnh7F65gxkxMOH\nyJW6fRtG8NWrMCqsjInTkJSEUGuRImgFExBgzaDbuRN7kVXE8uQJwk6EsB2wRo30q9+TkmCAspjO\nrVthhBcsiNSJnDn59374MIx6PVSsKDZ9JCPGjcMzGs1/zpbNeI316ycun53RvDkMQTNYv16+d92+\nfWC0ecZEQgLa9Rg59WFheF++vubW4O3beKciRrse7t2j3B6wLISGslscsXDkCK4twjRTCmKlYEGw\n/2be1ebNuJ5GoLgNOSeIvpB582AAGHmvioIQSNmy/Byw5GTQ923bipdqP38u3seOUoQgq1Uzbyz5\n+2OzG93f6NFQqmZzElq3Nj9mLC4OnokZD5BSNIi10u/JLCZNMu7zFBgIR0AWu3fLzzRcv17uWjVr\n8kNedrt+6NRqgQqlYAOGDkXOaEbG5/lz9PXq2ZMflkpKQhjO0xMGsxlGNzUV1YXr1uG5GjaEovvq\nKyi0d97BfxcqBEeqRAncX5kyUNYffQTF0agRnMOVK2FsyFasUYp9t3MnDNj69a31WNy/H8wcL6Ts\n7Q2ZYKSIbt7EvtR7nmnTkJtnhE6d8F1y5cJ3at2af9/37yPXTw+1aokzJRpWraL0vff0ny86GuFP\no2evUMFcZXRCAs5rprBFy3Pbs0f8N3Y71uXevfxjfX3xXYzQvLkxI8pDUhKYuOXLzf0+Ohrf3uxc\n2uhoECpmCgQPHZIzIK9dw7oW1d0ZoY3s8vZ+uy+d25BzgswL2bEDrIORUlNVKOsqVfiCNSUFiqlJ\nE/EJEMHBUBQiw+wVBaGjFi3MdchWFDA9RsLJZkOVkMh8Rj28emVtHt/MmXh3ZqDlcpllLM3i4EEo\nGD28eIHNLosZM7AmZFCtGsLbIoiNRbjJDJsUFQU2zmzLGA3Dh8OAcN4nsbEID/I83AMHsFZatZIL\ntykK1v+wYfj9Rx8hlNS2LfJEBw4EM12/vlh/OrsdxtLOnQijd+yIENcnn4AB79cPvbx4Y8sywmaD\nkZQtGwS+2R5ey5aBMWCx7DYbWECWQho5Uj+8/egR9rvR/SUkwOj18gKbJqL0kpIo/fBDfWeycWM5\nA4dSGDcVK+r/7exZ49F0yckodDDjNGs9Ds3g1CkwszLO9PLlbGNcg9aY14ix3rYNqQVm8/qGD0e6\nhRl2KjUVRiTLMdCDFhWIjU0Pccpef9cuGMKis61PnMC637pV7jqUYq/06IGiJeeZ525DzgmyL+Tc\nObQTYU0JWLAASpk3gshmQw+Zn34SV5R37+LcIgsjNRWWfJ8+5jYM7zdPn8KTZzX6ZWHVKiQQm8kx\nSklBeNDMsHhKEZrlTRdwNbSkZj3BqyhQBrJNKFu3BosgWv308iWUn6jRuH8/vpEZ+Pqy+26JYOlS\nKCuRsTXOSE6GsZUnj3hOpsMBBTl4MIyrUqWgMC5ffltpbd0Kj97s+ssIRQFDuGoVWL4vvoDRuXWr\nuHEQEoLK51KlzN/TuHH8Rqh37mDf6bX94KFKFTYT9OgR8vDef1984ohRFXybNvJFTWvWGE+gWbnS\nmJ06d85837rWrc2zUs2byznSSUlY0yLFcNu3G/dT1dgsK3K/ZElzTLSq4hu1aCFnwF65AmY8IQHr\nULSAMCM2bmTnlDrj77+xn2WZYUqRo1m7NhxIPcfObcg5wcwLCQ6GMBs2zJjt2r797Zi2ERwO9PKp\nXl286ub6dXhVIv2Z4uIgZIyqKa1i3z4wQmby5VQVAoHVKJeFDRugeMyEd69ft9ZKxSwaNDBmhZo3\nl5udm5yMXK8sWcRmS6oqmIrSpdHqQaQ687ffjBu+shAXB6bBSm7csWMI1YlWkWbElSvwnH18xMJW\nDx/CQ8+VC/moEyeabx6tKLjms2dy7JqG6GgwZHXq4Du1b48QOs/hUdX0GY+//y6/trXRRE2bsln8\n8ePZPRGNsGgRP2Q6axYaJIsqWeeQk4Zff5U35ObPN54mMmWK8fSbJUuwT2SRkABSQKa1jIYHDyD7\nZCo1p01jz0kVRdu25vtxajPCeRXwRhg7FtXTshGCUaOQzlCrFlguWZ2xfDnYd9F0nlmzYDRfuyZ3\nHUoRzStRAi1VjPah25BzAiHEVNlyTAwWxc8/GwvrU6egiHijcRQFzEGbNuIl85cv49wivXfCw5G3\nY2XWKAtDh4LlMWPMPX2a3oNIFoqCTS0SatZDnTrmk4w19OwpF6Lt0MG4lL9tW7lnmTcPYdKSJSE0\neCH61avhlf74I/rIiYQmihc3V9E1f75YnpMRgoOxvmU7xTscUFienmIjqR4+BDvr4QGG9sEDCGuj\ntWyzgdFYsQLGQvfuMHyqVsW78vQEQ/rFFzCaP/4YYfzSpWHY9uyJ975iBXJtHj1iGy3h4WBGmjbF\nHl67lp8qER0NT756dfmejTYb1uiECcbHJCbCeZPNCXv9Gu/FqOk4pTBWP/xQXA7WqKHf+qFzZ/bw\ndz307Ws8vaZuXWM28eefzbU0WrNGPr9VQ48ecqHFyEjse7MNizVs2QISw0wY+c0bhO+Nikl4WLmS\nH/7Xg6oiv7xaNThF2sQVUcyZg4bdIg6losDILVHCnBN74gTSF3hMq9uQcwIhhBYvbs77TktD7yO9\nGLaGW7cQOp02jS2wVRWhqBIlxBveXroEZSeSuPr4MdigzZvFzi2DpCTMCn3/fXg+shtt6VKwY2by\ne4KCYMSYmYt35Ajet9mCDUphfMkksS5datxqYMoU/dFWekhLQ8hQE6w//8wfVl2xItiL776DEile\nnH38w4dI4pf1KlUVhouZkAKleLby5eUHiCcmwhlq2pQf+stowE2Y8Ha1eY8eML4KFgSj17o1cr/q\n1kXor0wZMDDTpsEo37EDhR63byP3MyMTpqowYG7cQJh68WIwnJ06gU1q0iR9msPWreyq9xMnYDCW\nLKk/hisjFAXsRd684i1ZNISFIYTEMtTWrcN6kt07XboYzxzW4O2t3+hXD02b6rfR6NgRa1wGdevq\nz4ZVVRjoerOgHQ6sFTMTCby9zTlJz5+DhZdJN+jTx9rkCErxjNmzy1cDU4p10qSJ+R6ihw9DXsn0\nUdQQFAT9VLYsZGbx4li/PKgqmO0WLcSMspQUyJ/q1eWLV1QVDpvepBo9uA05JxBC6PLlEOhmEhK1\nqpJatYxj5y9eQHn27csPj/zxB7wH0aG/Fy9CyIg00rxxAxtRZJC1LOrXh1HUsCGEzMiR4uERVYUQ\nNVu+3769/vggkeuWL29+PiKl+C1rxqozHjyActXD/v1gCUUQGgrPLywMrRru3DFujqpB+x5ffw1l\nwDKUEhJQFfbuu/Lr5cwZVG2abYvh54fKTpnfR0WBne3She0QhITgGG18lx47lJoKY6NNG7BrhMAZ\n2+9ufbkAACAASURBVLXLXK6eHlaswP3GxmKvz5mDPfTZZ1AEU6bot2VQVXyPsmXhuR86xH5P27ZB\ntvGMJ2fs2QM5ZMSeKQpCe7LnXbzYOA9Ng6+veLpF1676lYsdOogp64woVEjfUHjxAnJT7z1fvgy5\nJ4sXL5AWIVrolhFDhog7fJRC7nt6Wlu7qgpnQ2asX0ZMmIB9ZyaV5eJFrGEzOXlpaWDF33sP937r\nFn+/HDyY3oWiTBkxIz06GmuuXTv5b5qWhi4KpUqJ9391G3JO0F7I5csQXL/8Yo4Z0ipajRivuDgo\ng4YN+Xkzy5Yhz0WUCTl/HkpApEorKEiu/40oJkyAF+zpCXZi3jw5b/35c/xWNJHU+bf16plrCvn3\n30jmN2t0pKZCIItWZqoqvC699hehoXgHMveSmAhBJQNeA05FQb5ezZo41qhlihE6dEBVsRkEBeH9\nyDAcT57AcBw92vjdKQryVsqVQ76onoHy9CmEfY4cSDTu2RPfw0iBqCrY54cPkZN38iQcqk2bwLzO\nmIH8qY0bsUcjI9PvT1WRTvHDD29770lJYKMGDYIxW6MG9rXeqK0tW/DcvXuz26ncvIm2JzNmyK2t\nAQNgzBr95tQp8XnQGp49gxHNCg9v3IhiDxGMHKkfDvXxEQuta7DbMdVBrwpz927jytLp082115k6\nFd9NFuHhYLv12EE9aDOujQoXRLF4MaImMlWqv/wCXbdrF0LxZno2PngAR9XM+K60NEQqGjQQy1VV\nVbB1x49DhlWrxk4D0PDwIQqyRo6UZ6jDw8GyN20qlu+oqngnbkPOCRlfyOvXEN7VqxuHSlm4fh1t\nHfz89D9oxnJi3kbcuhUet6jBdeECvMbt2/nHHjtm3mgywt69MFS1jvdmKpI2b4ZiMhMmnTzZXDsS\nhwOhSTPjWTT06CHHJu7fr58DpKoQOjKzZFUVIS7R5F+HA/3OWJg6FbMfR44E42HUdkEPCQkw/swk\ncCcmggUUWcMarl9HaH3uXONjnj2DMqtSJXM1pKKktyfJmhVsx717MAqLFn37+Lg4VL9OmoTcJg8P\nnLdgQXju1arh+7VpgzUxdCjymNq0wV7OmpXSTz/FzNmmTfH3H3/E+tNLR7DbYRSWL49jli7N7O3b\n7en98ViGS3g4ritTuJKcDAeJFf6rWVOelfv2W3bl5JUriGCIwNdXfyJK585ikws0PHxoPH3i4UPj\nEUxduoiltmSEooBRZTVhNsIvv8gZjnv2WJ9xfPcujG+Z/LqYGLDL169jn5h51pcv4YCYGV2YloY9\n1rSpOAt46hT2WcOG2N8iMvXkSTh+ZpoKBwWh3Y6/v5gBGBuLMG+dOm5DLhOcX4iiQDDkzAmKVRYR\nERDozZvrewFar7mff+b3UDt6VK4HzdWrWFTTpvGP3bMHysdsU11nhIdD6FOKEPLPP5vLPevUyVzL\nitRUKF4zntvGjTBczLJyp0/DS3bF7M3GjeVD/PnyiVPyycnoh8bCrl1gxJo3R3L9Z5+JG9ebN5vv\nizVxoty3v3oV1zIyNFQVCe8eHtgTzizQyZMI6ZcvD2WR8RlnzsRe3rcPyrNUKRhh1aqh+m3bNjmD\nW8ObNzB8fHzAcGTPjtAtITCKAgIyKx5VhSHRqBGO//33zMnmV65ACXXoYJxnFxGB/DqZWcnnzyM6\nYOSYHTgAQ0Fm7Y8ZYzx8nlIwEx9/LCY//Pz0CzPq1JEbQr9jh3zhQUIC9oao03rxIlJAjh6Vf2eU\nwvnPkkWcjUtMRBqHlehLaiqMTtlmtrt3Yz0XLoxcxdev5Z73zRsQHkZVxCykpCDK0qePXCi3VSs8\na5MmkEXNm7NZsnXroJ9lSQBVReGhp6e4vrpxA++yf398E7ch5wSjFxIYiFwiPz/5hrqpqaDNGzY0\nbgy8cSMUDC8ceu0a7sOomsoZQUFQCvnzYxOwiji0VgVmS8GNkJYGVtNMzltcHLwwMwbZkSN4btnS\ndIcDeS5mDHdKsTELFxbrz8TDlCnypf1Vqoh3GY+NReWgCIoXhwA5dUpcCLdsKV+kQCm8fQ8P8WrF\nkBDsCyP2TlEgmL/9NnN7irAwGDx58mAPOD/bgwdgenLlgse8aBEMJbPNdp2xZAnC1cuX491GRODf\nY8fiW2bJgjSFnTszG2x37sCQ1JNJSUlwovLnN+4l9+oVDD6Zlj/du8OY1YOqwiGUyaM8cMC4MbaG\nXLnE0hX8/fXzY2VHdPn7y+d/7dplPCJMD/v2wfFo1Qqhzpcv5dbUwIHG30EPo0bx8xF5GDECrJas\n0Tl0KFjoZs2gB7NnFy8ASEqCw+TvL3/dpCQ4Z61by73b/fuhN997D3Jv8GCsU73ra2RP6dLy48WS\nk8Hili4tlgevqnAynXP43YacE1gvJDwcuTI//igf31dVhHuyZze22IOCILBGjWIbiyEh/BygjGjb\nFuxB7doIOxUrZrxo1q+HQrRalu6M8HAwRWbK8s+cgUdthvFo2xbelCw2bYLSNsuqTZuGcJpVnDiB\n+5BB69bi7zkyEp4gDw4H1o9M4m5iIoxEMxMzGjViszQZERWF/cBzbg4ceDunx2bDNbJlg6GWkTFP\nSEDSfLVqYLVHjHC9gyOKsDC0H6hVC0bd0KFyDXh378a3M2K0wsLgeIj0HqQ0fc0YKa0NG9LZeBG8\nfo3qX5bMa99ezDmZMEG/h5tsJ4LmzeUr+nv2RN6lKAIDUeDy1VeQux4e4vf4/DlC86IdAW7fxvnN\nVNNqCAgASynqXGlQFHzfd99FiHzFCvF2JampMMS6dJGP6CQkQFd37CgXSr56FXq6bFm+zklMhLNa\npYp8a5+QEFzDx0cswpGQAEO8dOnM+tltyDmB90IcDljfRYvKUfUaTpxAmLZOHX1K/NkzeALvv49w\n5MyZKLxwFnJaVd6vv/Lp4pMncb8FCiDf6cYN9kZavRoGn2ilrCi0aikzTNWkSWD1ZHM7wsKwKWVH\nfzkcMIhk8100vHoFAW2mJ2FGJCVhZJNMn6YhQ5B0LYKwMBhNPLx8ifcogz17zPXFOnQIFYMiidRJ\nSTB0ZWc8XriAsGLduvqViZcuYf/t2uU65s0VCAuDA5c1KwogRBWzyFSWQoXE23zMm2fMPtlsOJeM\nM1i0KHuP+viI5d7NmaM/oaVsWbk854IF5e7f4UACv+gECkoRWv3mG+Sc5s4tl6M8ZIhYygyl+PY1\naohHcfTw/DkcGjMD6adMgU4LCJBzjO125ICZmfYTG4v0mJ495SJohw9DR23bxj/22TOsq65d5UeT\n7d4NJ3HWLLF3cuMGCJiePfUjTG5DzgmiL+T4cWzCkSPlBX1wMBb2v/6Fc7RqBcWrlYOvWYNcix9/\nhCdSsqR+817NG6hdm11NoygQFMeOIWTo68tfPMuXI59CNNdKFHv3gnWUHemjKCieMNMxfelSCEvZ\nkPju3fB+zMympRQhKNneVXqoV0+uB9vcueIJ0JGR8NR5uHwZQksGPXtCscrA4cA737mTf6yioEy/\nc2e51jazZoEd1gujWkVyMoytO3fAJO/bh9yZefPAeC1ejD1w9SrYFLM9CyMiEHLPmhUyyBVzgs+c\ngbEusuftdrbhNWKEnHHduTNCzEYYMkSs8nns2MyNcRUFjrGosn39Gk6vjPHAmr1qhIsXoQe+/VYu\nwnPzJr6TSAUlpXDMfXzMyzGbDUaRmYHymrxnVVHrQVGwJurWlTeSoqLwvAMHyu2vNWsge0Tampw7\nh+f66y85GWKzgXzJmxfn4EFVkZfs4cFun+M25JxACKErV4p9nKgosBkVKxrnvhlh5kx8zFq1YMQN\nHpxeaGC3w/Dq2hX5LawxTQ4HhFyJEuzN4uuLRRcVhVyFvn35i3zdOtyHmZFILMycCYpdtpI1PBxh\nXzPJpKVLI5lc9nfVqun3pRLBkSOuKXr47TewMKIICBDvPxcXB6eBh717UYEpg4IF5Sd0bNzIbnGR\nEX/9BZZWNIE5ORnFM2XKyCsWPSgKQlZLluC8BQrAa86RA6E8Ly+8s/bt0bpj4kSE2+vXx/rPlg0t\nLvLmRcuBgQOR48dqAuyM0FBK+/XDuRYssM4ezp8Pw8JMpXhG3LoF2SFqPKxYwa6gnTwZKSc8DB/+\nNhvdvDlYMs1ZEWlJFBDAz9lzxuDB8kPbhw1DyousoVK/Pt9BCgpC6PblSzBMZkZDaRgxAutY1unQ\nKlRlIzCqijXdpYv8OnzxAntvzBg5587PD/tXJLS9Zg3ai8j203zxAvu8QQOx8HR0NNbv99/z78tt\nyDmBEELLlEFYRSRsoXn4np5yXbmTkrDI/f3xW2cGYupULGStCIJXuThnDjwEo7LutLR0gREXhwqi\ngQP5SnD5crCGrsyZU1V4zvXqySueY8egBEUrtTTMmQPv19tbzug+dw4KSbZgglI8Z8mS5icaaNDG\ntIgiJASJ+yJISwNbwcOSJXI5f8+eyffA0xLlRZpZX76M84saZM+ewZBv187ct8x4noULETLOmhUh\nxC5dkIB875680Z6SgvUYGIhioHr1YFhXrYpq0qAgMWPo8WMkkXt5yTuVGaGqYELat7fugJQvL9aV\nnlI8f7Vqxn9fvhxTc3jo2/ftHmn16iEEWaYM5LNIGxM/Pznm3+GA7JWRkaoKg1mk12dGHD6MfEae\n3NbSK5o3NxfF0LB/P8Lesnlxz57BQZFtrq71U/Tyknf0Hz4E0y6aVkIp9p+PD67Hyze02XBvRYrI\nT346eBApVVOmiBnER49C7/zyi5ih7zbknEAIoWlp6Y1ARVs/XL4MT6lrV/G8KH9/hJ8uXMCiHzky\nnc6PjsZGpxQVcnnzGvej07B7N4w+EUWYnIwFXLcu/37XrEH1zsCB5vrB6cFuB5vZrZu8wpgyBYpO\nppQ8KgrsR9myUMB+fuIKvWVL/pQEIyxejCovK0hLQ7KwaPjM4UC7BhFvVlUR4ucJl9mz9ftzGWH1\najBrMjh4UIzBTEiAMBVNRj9/HkJ0+nRzxonDAUayUSOsnTFjIBfMNDQVQXIyFPbw4Xgf3t5gRXhV\nm4oCtpsXhhG5fuvW1tMC5s8XY9EoTc9lNcL+/WLpAp07vz0veckSsLa1a+P8Fy/yz+HtLSZDNQQG\nive503DkCFrYyKxHhwPGrkj+VsOG0CfFiyOSYYaRu38fzpJICDAjXr9GhEim8INSvIshQxCilmGl\nKcXz5coFg18UUVHQI61b83OQIyKQZ9iokXhIm1IYf6NH43dGvQczIi0Nodevv5bLwXcbck7I+EKC\nguCNDB8upkQTEsBaFCokRidHRaW3loiKglH144/pTGDGTR4ejk08YAB7kV+5AgZt6lS+kLDbkWNU\noQLfGyldGgr/448hJJYvl99szkhMBNPk7y/3OzNz+lQVhlylSgiBtGsnXhWpDWw3o7gTExH2ssKS\nUAqjW6ahaaNGyMMSQbVqfAN9zBi56t8xY+SEKqVQtmvX8o/r2lWMnaEUhT65c5trJRMaClYsTx6s\nm1WrrLF5ZhEcnJ4P17499jgL165BgbN6yPFw7RqUuGwlXkY8fYpziDAQqgom0khJHjokli7Qr9/b\nBUrh4eiTmDevmCNis8HZk8k59PMTlyUaOneWmzRBKXIs69UTM/4KFIAeGDIEskt2ZGF8PIwxVt6i\nHpKTYRzJjAyjFM80fDh0kYyhRCn2eKlSYgauhnv3IG9Gj+avz0uXIAN4RAql0N1t2+J/P32K3MJ6\n9cSqi+/cgQ3w88/yDKjbkHOC8wtJSoI3nCuXWAI2pchzyZ4dpfAyCbMOBzZcgwb61ntqajq1y8o9\nCg3FhujUid8uQgtzFi7MTnK+cweKpFQpPFerVmBdrCI8HLlUsr3G3rzBPcswD4UKQSHIlPlrGDUK\nwtcMpk2TH2vljIUL5XpAdewo/k7z5+cbmkOHyo3Zku1Uf+MGjHpeqD0gwLi5tjO08XOi4T0Nr18j\nRFemDP5tJb/IlXjzBsxw7tzI4WLl6Gg95GrVMt82ZdSodKVkFiVKiFdjli9vzJidOAFmjYfKlTMn\nq2fNCqNGJER97pwcu5acjPPLFG+dOwfDUiaiEB2NtSxSfZ+aCqf788/hdMs2eVdVRCF69pT7ncOB\nKtN27eTy6VQVznzNmvLzX7dtw3s5elT8NwcO4DcijPPq1TCKRafL9O8Pp2v7dlzjzz/570JRkFbh\n4YHrybC0W7dCL7gNOScYvZAzZ2BA+fiIWcuhoaDoq1aVZ2O0ePrEifrCZ80a9hxXSiHIW7dG7F/E\nq164EMYqy9v/9luU9nt4WM/7yogHD2C8yrb6uHkT9yKqaOvXh3GxaJGY0ZAR8fGgu2XDDJSCycuS\nxdyYKg1hYWhnIir8Z88GOyGCH37gN0vt3Vu8m7vNJh7a1TBggH5H/oxISwNDLpNDJ5OQrChgEXPk\ngMNkZaj4vxM2G1pxiLAea9dClly+LH+d5GQ4S7J5XBnxyy/876rh8mVjNiYoCEVlPBQokLkFiKen\neAXt77/LsUkbNoBFkUGDBuI9+zT06SMegRg8GPnABw7IXUPD1Kl41zJFGKqK++vUSf53Q4bAiJet\nvJ43DzJZVP6rKpzRXLmMG2RrSEmBISvTfzA4GHK+WzesQ5EG1E+ewICtVk3OToiMxHcuWhQV025D\nzgmsF5KUhE2eM6cYjaso2LAeHlAQMpZ2aChi8nXq6Bti165hsQwbZmyQKAo8nbx52ZWvGvbsgdAz\nMqimTIFxcOKE3DgREVy4gHPK9inatg3sj4iRlJaGb6Cq6UnQMli3DkynmTL+Pn2sJR1TCrZBNER4\n5ox4O4SGDfnKumNHsbAnpWCLixYVO5ZSfBcPD35F4V9/iVXO3rgBY0yUQacUDkylSnB8REPS/y3Y\nudPc3qIUbZZKlRJjQPVw+DCapVrF1atgSFlQVfRcdL7XAgXEK++rVZPLTfL2pnTLFvHjL14Eoypj\n7Fy6BJ0jEnLUiozOnhU/f0bs2YPvJdt8ffRoyEaZHGpFgT6pWFEunKqq6bOPRaqQKcX77t4da+jp\nU/axISEwLNu2lesD2qABDLlmzcDEDRtmTKKoKmwCDw8cK6pTVBUFkDlyINSr5fa5DTkniLyQs2dB\nv3frJlbZeusWjI3GjeU6a9vt+Fhff60fan39Gouna1d2FefOncjTEkkODwqC0MhY+aUhLCy97P3i\nRSwm2QHZLBw5Yq5UfvRouTYUlOJZcuUS6xmkQVWRwG+mHUlwML6BlWKRP/8Unz2amAhWTOSddO3K\nz2fr2FH8W2/YgNC7KHbsgNPCwqtXeH96zXszIjIS4UTRyRYJCQiH5MiBULTZvm7OsNvh1SckQElF\nReEZXryAsrXa3kMWWqNTM7mCHTqY6yFGKd5B7drmDUEN16+jjyQL8fFo55ER2ixhkRQXrRWPaPPt\nkBCsSRmjrFUruca8DgeiQCJhQEVBjrWsg6rhxg0YFjKjzCiFXCpeXC6vy+FAPnmVKnIyMS0NLG+l\nSuLXCw+HUSaSkrFvH9Ki5swRJ14UBakzhFD65Zdg2Pr2xTn0cmrDwiBzypaVC3uHhsKGKF06c9qK\n25BzgugLSU6GAeHpSYX6zqWlgZHJkUM83q7h8GF8wLFjMwskRUEINlcudp7A9evIheKN/6IUFG+x\nYmAfWYrt9m0k1c+dK/4sPGzdimeRmSqhKKgM7dFDjvXcuxdspUwI7eZNfHMzhQ8+Pgh5msWjRwgP\ni+ZdtmsnVqX3++/8HlidOonnRP7xh1wLgGbN+IbkiBH8kJfDgTCXaM+9x4/RHmbkSGth1KgoGEiT\nJyNHKF8+pCF8+CEMiy+/hMLPkQO5WkWLwsguWBDr1s8PrTHu3ZPvYC+Ds2fNDfW+dw+/M+uEVKpk\njg3MiAsX+AzzzZuZ2b8rV8Sdit275fLCJk6UKwA6dw4Gj8yUllmzYJyJ9lXs3NlcxEAbobhxo9zv\nli2DXpFh8Ox27OeaNeUM/JgYOGnt2ok7QhcuoFBh0iS2LrPbsX/z5ZNjM1++hMzx8tI3gOPj0/O4\nVRUGuacndLmoA6CqaGrv4QE5reecuw05J2jtR0Rx7RpoWNH+ZEFByLUbOlR8aDClWDB16kBQ6fXO\nOnoUBtDvvxtv5KgoeMf16vEV1+vX2GgtW7I3wJMncnNfRbB0KRgaGeEQHw/lKVvyPmQIPDWZe/f1\nlW+tQSlyLbJnt8bKeXmJj1EaMEB/XJEzVq6EocZC9+74LiLo0kW8YjU+HuuaVV35/DnyA3k5NBMm\nYN2IGEMnTsCw0mOeebDbkXundWj/4gso2xEjwAQ+fMhn9hwOsItbt0KoN2uGYpyPPwb7uWyZ61r9\nZMSFC3J5pRo6djQ3s5hSrEOZQhk9nDzJL3bYvh0VfxmxZAnWowg6dxZny1JSsJdFQ7bamCyZSu4n\nT+AAiDi1QUG4H9mJOZTiWSpXxjqUwbZtMExlnO6UFKz1hg3lWOnHj3GtX36RazLt6cnvZffiBdbW\nTz/JVWnv3QsZ4u9vLHNGjIDsDA0F6VGmjFzqxv37WJfff88ucHQbck4ghNBixeS8VrsdDES2bPCK\neIokMRHM2DffyCX4KwpobE9P/byMly8hLH76ybjc2W7HZihUiN91PzVVjD2MjESeQ9eurptLOXMm\nDESZULRW7i2T4J6aSmm5cvoj0IyQnIz3J9NrSkOHDuLJ33pYuBAeqQi2bQODx8PJk/w8JudGqyx4\ne4vnGe3aZTyzU8OIEXB8WNAcGZFG0UuXQunJVrPeuwf2LlcusEyLF4sZbTJISMA7ad4cTF6XLmCz\nXDlKbMsWMA+iA9cpxXN6eMi3hqAUbVvat5f/XUaItB+ZOhVrJSN69UI/Ox5sNlSfijqPq1aJ7S0N\n+/fDEBFlXLU8XpGQdkwMWDGZnFANioKk+c6d5dbx9u0wYmRmWMfHg0ho3VouDYaV7qOHtDTk3hUr\nxm/SHBCA55g8Wfz54+JgnHl5sYsm7t2DTTB7NnS2EZumh5QUGNba73nrxm3IOYEQQvfsQYJsixb8\nxMiMCA4Gs1G+vFjJfWAgrtO5sxw7d+kSqsm6d89MTdvtYMdq1wbrYIStW7FIXJXjlpiIfD1ZT4uF\niRMR+pKp9jx3DgqH12srIx48gFCW8ZSOHIHwlM39efQI791sKO/1ayh4kf5g0dFoQcAzrnnNWClF\n+E/U2C1WTLzlRb9+7GbLsbFQsKx9qKowBnktCBwOODFFi4ozKQ4H9krlylAmv/5qvp2HLCIi4BiW\nLIn9PmWK3OB3FsaORWK/jEIdNsxcGsWtW4hCWMHu3XwWvFu3zH3PypYVy/k6ckSsKpZSrLdy5cQd\nRkVBTrVMH8iNG8He8PauqkJPyfTUzAhfX6xtmXDvnj2QFzIy9vVrvN9eveRCvzt3ije5pxSyrFUr\nMLMsGWmzwSnLnRuOrCgCAyH3e/dmF0KoKjpWlC6NcPDx4+JTaLTpHS1biu93tyHnBO2FJCeDOcmW\nDf/m9WPToMXBc+SAp8MLjyQkoNWBLDsXH4/f6SU+UoqcnVy52LTvjRtYMP37y8/704PNBlauQwc5\nb5+F336DMJYxfLZvR4GIjBH+998wqmUM6mHDxIfTZ0SvXnIDxZ3RvDlCbyIoU4bfMkVTTCzB5+eH\nsD0PioKEcdFqr0KF2F799OnILeSBpxxUFYUiXbuKf+OTJ9OLlPbu/ffmr7GgqjBGeveGwzFixNsO\nxOnT8gaeoiDEJZNXevky9ogsA2mzQRZZkTGrVyO8y0L37m8zJElJCFWLyO7+/cULOs6cgdwUfQ8b\nNkApi77nsDA4DSKO5cqVWKNm3u2CBfLjtwICwC6J5N5qePEChuzIkXIFBP7+yCMVTQM4fhzrjNe7\n7ckTMN3164uTBCkpkPdff8034B0OnJsQpF188AGM0R9/ZP/u1SvIuvz55aM9/zOG3IEDB2ixYsVo\n4cKF6TSdsp3AwED6xRdf0LJly9KyZcvSiQYJH84v5MkT5HhoTQFFF2J0NARL7txivwsMxKIdNkyu\nn87ff8M7Gj8+s6LR8uqqVzce7xMbC4FeqRJ/BJAItAbDBQu6Zj6rqkJxVaokZ2TNng0mQyYUNGwY\n8hhEBXRMDL6vTDNKSvGe69eXnxer4eBBseaolMIJEenq/sMP7CTf2bPFvP6UFChPEQQHQ2EZ7Q2t\niEW0oSwL48ahPYKIgfn0KdiffPmwv1wV1nRFCDYiAkooTx6EzlUVYaHeveXPlZCAMJfoqDNVhdEg\nG5KmFPJAlAXVw59/yk8LCAzkh+0phdwsUyZz/zkjNGkiPvFA6z8pWgmqqpANItNutIbXovedEbt2\nweiR6V129KjYyK6MRuXdu9hHIuFtDYmJMHy9vMRSaxQFbHXOnPy1uWkTjKrp08X346VLIExat+br\n5tu3cd8//IACi+BgviNht0O+lioFB9/M9Jj/CUPO4XDQQoUK0SdPnlCbzUbLlClD7zp18QsMDKRN\nmjThnsvohRw7lk6TyuQFnDyJ7ubNmvGp1cRE5ALlzIkFJ6pAQkORF1epUubEU0WBp5k9u3HSp6oi\nKT5HDnmjxAgrV+KarPCuKFQVhur338sZc0OGgGIX9VZtNtDhMkndBw5AUMkmpo8aBXbIDBwOJNmL\nNHk9dYrff4tSsFWsRO/168Vy86Kj0UtJBOvWsQ2QU6fS5w1bwbx5CO3xWOLkZBh82bKBfXQWqPHx\nYFfu3MmsBNLScL8LFyKfsE0bOFHly8PD/uILGN+enjAomzdPn5axbRsUgIyhp40lqlcPivWrr+T2\nhobz56HQRRnv+fPNTXvw9jbX+kTD8OFihTsZMXasGPO9fz+Urwhu3oR8Fg1F+vrKTYRZsgTrgxdS\nDQ+HE2mml6eWcybjIO3fL2bEqSpCqFevwjHMkUNuZu+zZ3AWOncWY1JjYsCYV67Mzm+Mj4e8LVJE\nvDl2airSlLJnT3eajJCSki47Fi0S38snTsCuqFPHHPERGYlQ9/+EIXfu3Dlar169///fU6dOl5gk\nZgAAIABJREFUpVOdePLAwEDauHFj7rlYL8Ruh6DOnh3CWpSWTUtDbkm2bLDSeYbF+fP4uI0biyff\nKgr61mTLpj+26tw5nHPYMGOL/8QJGAi//eaaMJLmwVkZ4K1BVXHv5crJDY/v0QPenWheRlgY2FeZ\nYpeePeXH2cTFQZjK5JlkxJQpYHx5cDjggfKciMWL2fNLDx4Um3X57BkUjAiGDmUr5wEDxOZjsrBx\nI9IWeM//9CkchR49jCv/IiORNlCwIAyzH37AN6xWDeHkChUwY3bBAjhihw5BWT5+DGbYbgdLfv48\nmL6//kL6RbNmYHly5YJhu28f31CIj0fRxogRyCGsWBFjfsxg0CCxtUQpFOeXX8rPguzZU36aQUZ0\n7Cg/ErBaNbF93LateP5n+/bifdq0fFjRVkWPH2Ov8nIw7XaE6cw0GL95E/pLpunxrl2Q4yLzw8+d\nQ7qENqJKxnjXnIrp08VIjIsXsWeHDGHnel68iFB4jx7iOc0XLyKi06wZnxU8cQKFLP37i+vr0FCE\nUfPm5RuJekhNxX7XWor9TxhyW7dupT0zaNJ169bRgQMHvnXMiRMnaNasWel3331HGzRoQO8Y7BaR\nFxITg8Xj4QGhLZow/OQJQkVFivA3UloaWAEPDwgZUQv/zh1jVi02FgKxWDFjryQ8HOxe9ery3b31\ncPs28jCmTbMeWlJV5Fl89524EZ2aCjagVy/xzXL6tFxrgbg49BKSzWvQ2qyYCd1FRoKFEWFSunZN\nb+RshIsX2czdjRtiTMzdu1hfIqhZ01jR2u34Bqz5vzxcvIgwFa/p5unTMMhmzOB/i7AweOk1aiD3\n5aOPwDiYqeZ0xoMHMO5q1ICh2KwZFKKefImJgfFVoAAY0I8+Qt86kSIYZ8THI1QrOnavXz/5pth/\n/GG+fQmlUMIy0YLERPTw44Wp3rzBuxbZR48fyzX1btZMPO/OboeTwNunlIKdrFtXvl9ccDDCvKLN\nsimFw5EjhziL1b49QpC5cuE3IoSAqsLIz5lTzPDTRm15erILSBwOOILVquE5RJCSAsMoe3Y4gSx5\nEBUF2Zo7N+5DRI6npsJmyJYNhrhsYaCq4lkKFoTzp7F4/xOG3LZt2/4fe+cdHkW5vv9BT/GIIiQL\nEhJq6F06AgfpEFGKFBsoKiLSFJQDKKDSFBFUqiJSpSogVUBAei9SQgsklEAq6XV3Z35/fM58d9ns\nzLwzu0GPv9zXNVdC2DLlfZ/3fu6nvIZELjU1Vcn476zesmWLUkmjjMrMDQkPp0ozNNQcq960iQfx\n3HPGeWnnz1MN2qaNcbsQUaxYwSSYPNm7MXA6UQ4ff9xcKw8t3LlD6KJnT2vxf3fIMqpHzZriPX9S\nU/HIihcXTwr/9lsIqOgCvXcvhshMo2CHA1Iqst2bN7z+upiSsG6dcVg0KwvFTcuw3L2L6mQ0xk+e\nzNvLyxtkGWVHi5Dv2CG+xZg3pKfz/IwM+HffMS6M9qU8dYqK9GLFuO81ahD+MVP1aQYJCSjZavLz\n/Pna4baoKEJyDzxAGxkrpHLDBirdRa5n8WIqJc1g/nxx1c8bvO2hqoft28XOcfFi8Z6QH3yAXRTB\nhg3YbNG0jrFjIWdGzu6yZSzgZvclVSMNZlTRH37Apols76h+x4MPIlR060bKiVGLlqwsxkWNGmL9\n6BISiFQ1aqS/PVdEBHOhdWvx3noHD7Ked++uv7bIMu1nSpRA0BHJu5VlxkTFilTVmum9p+LQIa6p\nbt28TtdfgsgdOnTontDq5MmTvRY8uKNcuXJKohc3TJIkZfz48f937Pa2N5YHtm8nl6d5c+8VpN6Q\nmUlCa6VKeG16E959z1aryZCeuH4deb5FC+2w0549eBuffOL7gpWVxcJXr57vSp+a01evnniBxrZt\nVBH94x8Yl1WrjI3skCHkIIl6vuPHQ4bMKI/79mFgrWxhdOIEz8fo2WRmot4ZFVc0a6YfigoMNCbP\nJ05gaIwQFUWYXAupqeKbVXtD3776TY4dDtem03rbfh09ymIQHIyqfPEiC9THH/u3t5se9u1jXJUv\nD/HUInTqNVWvLr4HpTs6dBBr+hwbCwk30zNy1SocVyvIzkZtNJPu8fbbxiFQWcaGiDTYvnQJ+yuS\nh2hW4VSrLY1CeIcOcQ5mHfqEBIjS5Mni7/nmG+yB6HdlZBDilySUyLlzUYv05siNGzhrPXqI2b+9\ne7mv772nbfPcd0GYMUPMFqsdIIKCjAWZ8HCIdP364irluXNEuapWNXYYveHqVaIhwcEQSIeDVDF3\nnvKXIHJ2u12pUKGCEhkZqeTk5HgtdoiJiVHk/z6hI0eOKGXLlvX6WZIkKStXmg8DOhwY2aAgvGjR\nnjEREYRbQ0NJXNUbRHfuoKyULy/e3d/onKdOxQtZuND7d6t5QQ0aWPMi3CHLfJ+ZKi49TJvGoip6\nXrVrYzj69WNxrldP//V2Owvou++Kfb7djvEzm5Tdp4/5ijwVbdvy7IzQr59xDtWHH6J2aqFRI+Pt\na86dg0gYYedOQqv+RlISRlOStMOMsowK0K+f9sKckeEqPFq61LVwJCdbq9r0B/buZdxWr64fgvrq\nKzx/M/s4KgrPtlw5MYLWsKH3/Z+1IJpj6Q3nz4uH6xWF5xscbLwv76FD2F0RW9+7t3i+5rBh4oVM\ncXGcq1GqzfXrrC1mWlQpCvOhQQPEAlHHY8oU1hjRtIbbt/mOF14QDxXu2cPc+uwz4/Oy27H1QUH6\nEaKYGNS6J57ADolg0ybI4Wuv6YfX09LoIWmzsc6LOPeJiRBEm405aTSvPO9dbCyOWc2aFPt5u7e5\nuZDtvwSRUxTCpZUrV1ZCQ0OVyf91PebNm6fMmzdPURRFmTVrllKjRg2lTp06StOmTZVDGpmbkiQp\njRpx8376yTyhS0ujeqV1azwH0Wqwbdtg7B06GFev/PILodlevfzTIPT0afKjOnf2HhqUZarVbDa2\nPfFVidi4EQLmj2bEKnkWkf/HjSNXLiSEHB+RyahWRYkmQ0dFIbmb6bMUG0vjXjMl+ip27KAq2mic\n7typr4ApCjlITZtq//+LLxpXoF2+zOJohMWLfe/2746sLIx9QICi/O1vPDMtjB4NKdVadPbvRyl/\n/nnzSf33Azt2kCQ9YoS2MrFyJePcrPrdpo1Y/tu4ceZ2KDl0yHqofN06VBBRHDsmRvxeekmsQOTk\nSUiHiGp07BgpKSKhT6eTMTZypP7r0tNRuc3sX6woOB2NGkEsRWy2LENWatQQb410+jRjccIEse9Q\nW4WULi2W8xgZiXPcpo3+WrdqFRGmUaPEokexsdz7ChX0z0OW+eyQEFR+kXSenBzaiYSFkU8qYkMu\nXGDdyMwkB3PcOGzZ0KHeq+0dDkVZsoS0q5de+gsROX9BkiRFlmHq9eoxgTZsME9ebt+mAs1mw+sQ\nKVfPzSWJMzCQDvR6uS6ZmXhOAQEYI1+3xsrJQZEpUUK7r9TZs65+OlZaHbjj/HlUg8GDfQ/bqr30\njNSiQ4c4/4sXUQVFiWREBGRxwwax16tE1UweS506ilKokLnCFkVxhYeM2hA4HHj+ep5qZiYJ4loL\n1pdfGve3un4dI22EyZONFzBRxMaymHTpQjFPnTqcqzfMnKndBDUzk3lXsqTY1nR/JBISIDd6uUKf\nfor9Em3OrCgoJaGhxmHMHTvEexkqCuOuZ0/x17tj+nTxSlFFIZftP//Rf01MjHjLlk6dxHa0yMmB\nHCxZInaeEybguOvZbocDG/naa+bWoNRUnLK33xZ7n1rh37ixuPiwbh3qsGjxREIC5ObJJ8UcjGXL\nyF+dNk3bJsbGEpqtWlUsyuN04vyHhUFa9dKULlxARa5VCzXcCLJM0UPFimJFVioyM4kWzZrFWl6i\nBKTRW1TP6WS9q1YNgqu29yogch5wvyGyzGCtVYsFYuNG84TuwgUSP0uXdsW3jRATw+QtU4ZcAz2j\nevEioaQaNfzTs+3oUSaFVvPDrCxXbtGuXb59V1ISyknz5ub2VPWGrVuZnHqVow6HyyCeO8eCLVrN\npG42Lqq0vfeeufy6H38k76hCBQpDzGxqvm6dWOf4SZOMKwdfflm73+CmTYw1PcTFsfAZ4e23xSr0\nROBwkLsSFYVj06KF99SDNWsg8N6IT0wM87RXrz+nCucNskweUPHi3gtmZJm2H2Fh5vLLZswwJn+J\niajIok7H2bNiIXdv6NLF+97S3iDL5GgZzdPPP0eZNcL27Yx5kaKFDz7AnomsEVu2MBb1lC9ZZp60\nbm1u54a0NGzqm2+KPZ+MDOzHq6+KqY5OJzmiISHi9vDwYZzbESOMRYekJNT6atX07aBaUfv++2I9\n586e5b40bKi/a0ZKCva7USOxfU4VhfvQogVcwUxrF0Whh2f9+hCzLl285yXKMs56nTqEsbduvXec\nFRA5D3i7IU4nhrJWLW64US6bNxw4wINq0kT8/SdPIhfXqKGfEyPLnF/p0sisZionVbhXD6qNUfU8\ns+3bMUTvvmtunz5POJ3E/4ODjZtNGuHQISa26PZVp08j2YuSuZ9/Fu+GbreTAyayq4KiMD5q10aN\nVRs4i/RtUhTuYa1axqrc5css+npG78svtasL79yhalNv7DochDaNjN+wYdY2+dZDv34spmXK5H1G\nsgxR82bAb9wgFDd+vP8KGGSZBSkiAidg82YUXXXPRX9u93X0KCqat3yj3FyIiNW9OPVQrpx4i55T\np8QaU3tClnG4RHOO1Z5hes8xLY15oJVDl5UFscnNhUxoOTbuUG2PiEMaEcH83rdP/3VTpmATzLaU\nuXIFciNC4uLjWZNeekksMuK+64LIOiPL9KgsXlxsvu/ahdL89tvaallsLEJDlSpiNjI9HYVWbeWl\n5Vw7nYgtQUHYEpHri4oixzkoSDx3ToXdjoIrSby/R4+8RTqyTOi3YUNs/Pr13sd2AZHzgN4NcToJ\nudSpQ77RunXmDL8sw6Rr1mQiiChasszDq1gRpUOvWWRaGjkCjz9OKEA0ZJmQgGEZP158T1n1fT17\nYuxEK3i0sHEjZO7bb31bTC9dQtX66COxzzl1ioVCNMw6ezbl6SJ7yard10X6y129ysI4bRoEMC3N\n3GK/fj1KqpEhad9eP/QTGYnR1fqc4GDjisjHHzc2gh06WKvg0sKFC5x3UhIqtqhBjYhw3XerkGXC\nKNOmcX9r14bMPvoon12/Ptc7eDBee0gI1dPly6O2vP46OYOivRG9IS6O7/UW+k5ORpXzd7i4e3fx\nsNqxY9wHs7h5k+cqahMGDTLO3Zs+XT/Me+UKz+bLLyHBRt+dkUFO5Zo1xueXkcH6YRSqXbIEBcvq\nNn4iiIjgvEePFru/kZGc+6uviq0T8fGQsnbtjJ3fjAwiPaVKadtLWea+BAVh30UEhC1bmIMvvqhP\nsg8fRoFr0kRMZUxIIA1DTW0y03XA4aC1S+XKkLPnnkMhHjaM8KpK1jZscJ3TihXaxDwxsYDI5YHI\nDXE6udlPPMHAXr/eXF6T+iBDQ4nBi7Qsyckh5GGz0XNIL+ny4kUWjipVxKtbb95EsTAbMpVlGicW\nL47c7kuuXkQE97N3b3N5PZ6IiSFv7I03xMjQuXMYB9Emp+PGkXsk0q/rwAEIuJFykZ5Ozo7DQQ6J\nSE6OO2QZz65lS/2xuH69fkGDonBtWjkhXbsaL1i1axtv+P3UU76H5t0xcqT5nQ3OnYOYiu6b6Y6c\nHBTQvn0ZO+XLs9vL2rXkCRo5UdnZjIlffsE56NWLxrRt2qBgWCF1MTHM+alT8/7fvn3mtuISwRdf\neP8ubzh0iPwrs1izhv2PRZCTg33UczSys3nmeuNz924WUJuN+fvee/qV8YMHo2gZQZbZJ3f4cH3i\ntHMnjrXRDg++4OhRxoNoEde2bQgQX30lRvp278Zhef9947lw+DDrzgsvaOcVR0WxptWuLba12NWr\nLhKp11Lp1i0UtVKlIIlG63hGBvm9gYEUMphJCXI6XXmFTZuitMmya1y88YYr+le3LmvhmjXez0mW\nsR39+rG+FBA5D5i5IbKMktSkCWrI4sXmiExuLotIcDAkSqRnT0ICMnFgIF6JliegnlvFihhC0RDI\n+vWEaF95xVyu0K1bqBEvvyxe+u0NmZnkdlSubG5PW0+kpnLdouHJixcxPP8tctaFLBOqat5crKff\n/Plcj1FidVQUPy9d4vma3WS8dWuawrZqpa2I2e1cp17uyUcf4Sx4w+efo3rooX17YweiaVPj4hRR\nqNtGmSEpEREYebOV05mZFEyULg2JmzPHt90n3JGRgRHv3ZvrefNN4/CbJ27ehFTOnp33/wYPZl77\nC0uWsPiKYPdua989dCgOrAh++oldMfSwYIFxDueyZRDi1q1xUIcO1VZ/NmzADogUTYwfz7jXU7MO\nHuQ7/TU3vGHtWu6ByD6tTid5taVKieVg2+0UzQUFGe/SkJNDKkSJEtrpLQ4HymhgIATKaH3NyHDt\nearXnzU9HTsXGMj1GQkHdjt2PDiYEKgZ2+xwoKhVr04O3JYt95LhOXNIn1q4kJ8NGminXzkc5Is+\n8QTEetkyzq2AyHnAyg2RZaq4nnoKGXfuXHMhysxMV0jthRfENs+9dg25OCgIErh6NZ7Hvn2EOVUv\nKCeHxTcwkERTERUpNZXcN7UBoaja6N6MceJE39S5pUt9b3di9n0REaikImTO6cST69RJLIT9zjso\nbaIS/IIF5EWYqejt3x+pPiyMcLFWz6ULF/SfTXg448qbmnnyJKRUD++/b5ynWK+e7+F4FbNnm9vI\nPTMTj9dMsUVqKupTyZLsXCHa+NsqMjLYW7RMGea3UU80d1y9Cln3zElKS8M++bJ5vTt27jQmTipW\nrLBWtaq3naAnOnUyLorIzDSumOzVC3W7aVN9Z/LGDbFqeUUhAlOunH4k5fRpPs8fPUK9QZbJvwoO\nFlO11GK0J58UD/E+8wyOnEjj8HbtCM9rqVq//874atHCePyrhYnlyvH8tBrFq3lwwcHkpxnlXqpV\nol26sD6b6X/qcEC0qlZF7PEsUFAUlM5HHmGct2vn/TWKAiH99luEmSefRKRxX5cLiJwH1PYjVnHg\nAAtpqVKQMzOx89RUvA6bDWVLpNHtsWMYnQcfRHZu2hS27tm0NCaGXJz69fEAREKOp04RDmnSxNzm\n7tevM5nr1fNNVTt/Hi/m/fd9C7WawfXrEJUPPzQmgrm5LOpDhhjfT7sdtezRR1nUjEiuLKMoGrVR\ncMfAgTT0LVGCPBOjbbn00LCh9xw2pxPFQG/bGzXfQw89ehiHX0VRr565SrH+/SEVovN89WrCOr17\n+zaerSAzkyIGm41EaJHcTEWBFNhseW3I9u3YJzNVkFq4eFGsZ6CioKqYLbiIimKsiTiS4eHkZvp6\nXZmZzNOwMP3xkZtL8ZpIWxRVZdOLuFy8iPMkWnhlFtnZKKL16on1Hj11imc7dKg5Z/LSJf3nlZVF\nTl6JEjjr3u5xWhrh7OLFxcKdioJwUK2afk+4nTtx4Jo2NY7UyDKO8BNPsGZ6qmh6sNs578qVIV3b\ntuV9b2oqdrJQIY7gYM7/iSfuzWVNSmK9LlUKR2XPnoJiByFIkqTUrk0Fii/VmKdOUf1XvDikwEzO\nS0oKcu8DD/CQ1c25//Uv74bj8GFCMc88wyDV67h+8iQhg2rVWOyNBqfad6dECRYS0f5xsoyqZLMR\nUrDaKy49HQJasaKYF+kPxMUxeQcMME6az8ykZ9BLLxm/9vvvFeXvf8f7CglB+terSFO7vuvleLhj\nyBBUprff9r1KcdYsbSL4/PM8Wy1s3mzcpqRZM/NhQ284dYowp2hxw+LFGFiRjc/T0yF9oaH+2YnE\nF8THo+p26iTe3f+rr3DCPJ2MTp2s5QV6Ii0NuySywI0aJb5PqYpvvxVvGj1woHY6gBmMGiW29+ro\n0ZB7I5Jx9SqLud6OBFFRjGG9OeUNavsZI5scH0/4t3t3450XZJmx0aABKqI/ceAA6lSPHtqK3fr1\nqNB9+ojvpa0opFVoOcfnz2MTy5eHKBuN199+wz5Vrw6pEiVwqmrWqBHpLWoOnDvi4uADNht2dPdu\nVMFLlyD6J04wr65dwxkuVgwCbuT0FhA5D0iSpGzbhhpSvDgTVnQ/T2+4fBlCUKwYg0mkdYWKVasg\nbzYb+TK//669YH30EYUTS5ey8LRrp119o1bEVKlCcrXIrgiJiRjLxx+HkIiGW2/dQrXq0MG3xXDV\nKp7H1Knmd9uwgpQUCG/PnsZefmYm97FPH31CcesWBQ1BQSSK9+tnXDjw6694YyJKzJYt3OOEBO6V\nL7mKCQk4B95C8UuX6itukZEQUD106OCfENInn4gThIsXmUt6jTrj4zHkb70F6X755funBovg4EHG\ng8iWS04nNsGzd+D+/VR2+6MFSosWYvfn1VfF2wKpGDhQLIcxKYl5ZaXtkjtOnmTeGBGILVtIo9Ga\nk6o9jY3FATUqKIiLM5+rmZ0NyW3SRD+X+fRpQvOjRxvbzZQUVOdatcTSe0SRloa9UPcy9YaoKNaJ\nKlXE96g1ws2bLjHliy+M7fjhwyixFSqgqIk6h+npEOrgYJx6b4ViERE412XKwAeuXPH+WYcOseYE\nBBCJEuUeBUTOA+435PJlpOVixbi5e/daz9e6c4fJFBgIExcNK02ciMo2dizvffll75MsNxdPYMkS\nfp83j4HVvbt29VNuLvlFjz9O/pxIt+1jxyA4bdqIEzNZJpxYsiQJ1yJqiDdEReHdtmvnu9EWQVYW\n969XL+NzzsjAC3vlFX0DoHqFNpu4IjV+PAbJTI+iuXNZPH1JE5g61XsFoLppulahh9PJWNVTCnr0\nEG/yqofGjcXb+Pz739pkYuJEDP5jj9GSQZJY0MwiN5cw348/QqBefJH2Aj17QtyHDiX8PX06Cc1W\nSOLNm669LY2KbdT2HZ55Zi1bQsh9hejuCK1amVugU1Op4hXZHWXOHCr+fEF2NqTUqJ3K5ctEJ/bv\n9/7/6o4RKSk8ow8/9O28vCEpCSLZrZt+1Gj5cuzM8uXGn3niBALAgAG+RaI8sWkTbVTefdf7s8zO\nJp2oXj3miz9C/nfvkpISEMCaa5QXfuQIKnXp0qyfotGjpCTOuXhx5ri39KPDh7F1gYGci7d1y25H\niXzySXL8vvzSvF0oIHIe8HZDUlKQTCtXJg9t3jxzuW+enzVtGrHw9u21kxtVOBx41R99RBhOXXB6\n986bcxEXd2/+Q2YmcfjixWnPoKUGJifT9T8ggNcZGWank0TsUqWo3BNNhE1MJEwaEiLWZNMb7Haq\nktq2tf4ZZuBwkK9Ru7Yx0U1Px8DqhWT79CFUvW2beIsBu52FcNQo8fO221lIzKogomjbVj+fp0UL\n/c3lX32V++ALkpJIFBYx/uvWURGmpULFxDCOZ83CIw8MFN8APCKCMdm7t6L885+oMM88w1xauJDv\nXrmS6/3yS+bwBx9wDx95hHs1cSIKuihZz8wknF+vnvG4XLYMIumuyGzfTujIV3XbZjNWi2WZ+2mm\nVcPSpWJtRzIycBBFogp6eP99Wuvo2eLUVO7Z3Lnar/n2Wxb19u0hl/5qMK0iKopzGDZMe6zY7Tjm\n5csb3xdZpgrbZtPemtEKoqMhMKGhLjuQnHxvg/QtW3CaOnf2X+X3V1+x3r3xhnEu4LFjjLGQEJwB\nURJ5+zbOWFAQ6194+L3/73TipLVoATH76ivvfCEhgVSp0qWxF2vWWFfJC4icB4waAu/YwYRXN7S1\nKkHn5JCvU7s2C8yCBdoDKSbm3kUvLc1VQde7t3HuWHIyPd4CAyFSWpU6t26REyS6P2xqKuQiMBAi\nKFqp+9tvkOJu3cxv6q1i3z4W3H79rCt8opBl7odR2w5FYfF/+WXUEm85G1FRLq9syRKkdpF7EBfH\na7VCE97w++88y/xoKjp/PoZaC6NG6e9q8cEH5nOmPLF2LSFaI+TksGAYVWsuWsQzbt3auKI1OZl7\n0Ly5q0XFwYPmqtUVBSKydSuKRY0a2JUPP8xbTBIenjeEJsucp9H4kWVyPt3HjiyjNPvayy8oyHjB\njInhusyQmrAwsXDjF1+gmvuC3bu5Dr08Zlnme/r317+Ojh1x5jp3xlnzRy6iiqNHCaXqtWOJj2f8\ntm9v3I4nJgYi88IL2qE+s3A4iPLYbMxx9zXk9ddJEbp6lTBqxYr6uYNWsHBhXmLliWPHeD7BwThu\nogTu4kWuoVgxwqSe62hGBs+7Rg3m28qV3onZmTMQzaJFieD4o3q/gMh5QPSGXL/uqhBs04YEZCvt\nNtTWJR07QswmTBDfbD0jg8UkJIRw465d+kbm7l0WicBAJpRW5eGFCxitkBAIpNF1RURAysqXF99+\nLCsL8leyJMbYyr1LS+M6ypXzzz6zRlDz9Ix2JMjMxEA+84zxwj53LgnAIjlwx45hIM00Cv3gA56N\nv5GQQOhLS5nevBkVUQtz5rAo+oL//EesIe1XXxkTvtWrXTk8pUtrP7fsbPLyWrXivq5fb72Qxxtu\n3uSZBQRgX9QQy8SJpCVYxebNLDDuCtyUKeQC+oIyZVz9D7Vgpk2JohiPLRXp6dgPXyqJk5K4BiNC\nMXUqKS56i35yMgVqZctyXvXrmy9g0MKKFcx9vd5vhw8jMowaZazsbtrEOY4e7b/xK8uozM2a5c3P\n3bKFeaX2QJ082T9hVDM4eBAHoXNnGq6LOl0HD3JfS5RAEPF0qG7d4j7abBBUbylYdjt56a1aEcma\nMEG8Al0EBUTOA2ZvSHY2YYD27XlAY8fqt2bQw7lz5EKVLEnTVdEFOycHg1G5MjlD69bph0wSEhh4\nAQEkFGud76FDDMxatfAujMIwO3YwiZs1E2/Ee+kSJLRmTUqrrWDTJu79iBHmFRGzOHCA57Nwof7r\ncnJQPNq0MV6Qxo5FmRVpaPv994TlRauHs7JIIPb39kyKQvHO4sXe/08Ne2otElu3YvTy98H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QJVxtf9Lm/fxjuoW9e1H+Ts2ZTQf/UVStqLL2qrMU7nvSqd2jrEX15BYiK5g0FBGMbNm+/97IQE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"text": [ "" ] } ], "prompt_number": 6 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Just like we imagined that the streamlines of a source-sink pair would look from very far away. What is this good for, you might ask? It does not look like any streamline pattern that has a ptactical use in aerodynamics. If that is what you think, you would be wrong!" ] }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Uniform flow past a doublet" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "A doublet alone does not give so much information about how it can be used to represent a practical flow pattern in aerodynamics. But let's use our superposition powers: our doublet in a uniform flow turns out to be a very interesting flow pattern. Let's first define a uniform horizontal flow." ] }, { "cell_type": "code", "collapsed": false, "input": [ "u_inf = 1.0 # freestream speed" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 7 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Remember from our previous lessons that the Cartesian velocity components of a uniform flow in the $x$-direction are given by $u=U_\\infty$ and $v=0$. Integrating, we find the stream-function, $\\psi = U_\\infty y$.\n", "\n", "So let's calculate velocities and stream function values for all points in our grid. And as we now know, we can calculate them all together with one line of code per array." ] }, { "cell_type": "code", "collapsed": false, "input": [ "u_freestream = u_inf * np.ones((N, N), dtype=float)\n", "v_freestream = np.zeros((N, N), dtype=float)\n", "\n", "psi_freestream = u_inf * Y" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 8 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Below, the stream function of the flow created by superposition of a doublet in a free stream is obtained by simple addition. Like we did before in the [Source & Sink in a Freestream](http://nbviewer.ipython.org/github/barbagroup/AeroPython/blob/master/lessons/02_Lesson02_sourceSinkFreestream.ipynb) notebook, we find the *dividing streamline* and plot it separately in red. \n", "\n", "The plot shows that this pattern can represent the flow around a cylinder with center at the location of the doublet. All the streamlines remaining outside the cylinder originated from the uniform flow. All the streamlines inside the cylinder can be ignored and this area assumed to be a solid object. This will turn out to be more useful than you may think." ] }, { "cell_type": "code", "collapsed": false, "input": [ "# 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\n", "\n", "# plots the streamlines\n", "size = 10\n", "plt.figure(figsize=(size, (y_end-y_start)/(x_end-x_start)*size))\n", "plt.xlabel('x', fontsize=16)\n", "plt.ylabel('y', fontsize=16)\n", "plt.xlim(x_start, x_end)\n", "plt.ylim(y_start, y_end)\n", "plt.streamplot(X, Y, u, v, density=2, linewidth=1, arrowsize=1, arrowstyle='->')\n", "plt.contour(X, Y, psi, levels=[0.], colors='#CD2305', linewidths=2, linestyles='solid')\n", "plt.scatter(x_doublet, y_doublet, color='#CD2305', s=80, marker='o')\n", "\n", "# calculates the stagnation points\n", "x_stagn1, y_stagn1 = +sqrt(kappa/(2*pi*u_inf)), 0\n", "x_stagn2, y_stagn2 = -sqrt(kappa/(2*pi*u_inf)), 0\n", "\n", "# adds the stagnation points to the figure\n", "plt.scatter([x_stagn1, x_stagn2], [y_stagn1, y_stagn2], color='g', s=80, marker='o');" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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VFKZL/H6c6jhOTlZ2A3ASTAZtPT2Y6Jz1PD+f6Jxz8JzUOp3cLyiIbvwPJ0o1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\nXg0iscGSN1t5ebF53+TcmnJFHavyXJmZcP3LYQh2u/CucIaB0dS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"text": [ "" ] } ], "prompt_number": 9 }, { "cell_type": "heading", "level": 5, "metadata": {}, "source": [ "Challenge question" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "What is the radius of the circular cylinder created when a doublet of strength $\\kappa$ is added to a uniform flow $U_\\infty$ in the $x$-direction?" ] }, { "cell_type": "heading", "level": 5, "metadata": {}, "source": [ "Challenge task" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "You have the streamfunction of the doublet in cylindrical coordinates above. Add the streamfunction of the free stream in those coordinates, and study it. You will see that $\\psi=0$ at $r=a$ for all values of $\\theta$. The line $\\psi=0$ representes the circular cylinder of radius $a$. Now write the velocity components in cylindrical coordinates, find the speed of the flow at the surface. What does this tell you?" ] }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Bernoulli's equation and the pressure coefficient" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "A very useful measurement of a flow around a body is the *coefficient of pressure* $C_p$. To evaluate the pressure coefficient, we apply *Bernoulli's equation* for ideal flow, which says that along a streamline we can apply the following between two points:\n", "\n", "$$p_\\infty + \\frac{1}{2}\\rho U_\\infty^2 = p + \\frac{1}{2}\\rho U^2$$\n", "\n", "We define the pressure coefficient as the ratio between the pressure difference with the free stream, and the dynamic pressure:\n", "\n", "$$C_p = \\frac{p-p_\\infty}{\\frac{1}{2}\\rho U_\\infty^2}$$\n", "\n", "i.e.,\n", "\n", "$$C_p = 1 - \\left(\\frac{U}{U_\\infty}\\right)^2$$\n", "\n", "In an incompressible flow, $C_p=1$ at a stagnation point. Let's plot the pressure coefficient in the whole domain." ] }, { "cell_type": "code", "collapsed": false, "input": [ "# computes the pressure coefficient field\n", "cp = 1.0 - (u**2+v**2)/u_inf**2\n", "\n", "# plots the pressure coefficient field\n", "size = 10\n", "plt.figure(figsize=(1.1*size, (y_end-y_start)/(x_end-x_start)*size))\n", "plt.xlabel('x', fontsize=16)\n", "plt.ylabel('y', fontsize=16)\n", "plt.xlim(x_start, x_end)\n", "plt.ylim(y_start, y_end)\n", "contf = plt.contourf(X, Y, cp, levels=np.linspace(-2.0, 1.0, 100), extend='both')\n", "cbar = plt.colorbar(contf)\n", "cbar.set_label('$C_p$', fontsize=16)\n", "cbar.set_ticks([-2.0, -1.0, 0.0, 1.0])\n", "plt.scatter(x_doublet, y_doublet, color='#CD2305', s=80, marker='o')\n", "plt.contour(X,Y,psi, levels=[0.], colors='#CD2305', linewidths=2, linestyles='solid')\n", "plt.scatter([x_stagn1, x_stagn2], [y_stagn1, y_stagn2], color='g', s=80, marker='o');" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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m3f3TaDzQwq/VJFX0JUHwJeGm44Sfm5HTjcLu/imIPxXXDxqHIAF/8/WKy4lh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\nzjiDo48+mnPOOYejjjqq1c3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mc2jjIWpkIV676LNwEgQyWTYMzA8Y9GG6feL6k9O2cO9e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\nF32xwRwv5voNohbmvRoVnTcIwGMhX8bJ6k9nrrTj+Y9vxvMf3wzAw4w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"text": [ "" ] } ], "prompt_number": 10 }, { "cell_type": "heading", "level": 5, "metadata": {}, "source": [ "Challenge task" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Show that the pressure coefficient distribution on the surface of the circular cylinder is given by\n", "\n", "$$C_p = 1-4\\sin^2\\theta$$\n", "\n", "and plot the coefficient of pressure versus the angle." ] }, { "cell_type": "heading", "level": 5, "metadata": {}, "source": [ "Think" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Don't you find it a bit fishy that the pressure coefficient (and the surface distribution of pressure) is symmetric about the vertical axis?\n", "\n", "That means that the pressure in the front of the cylinder is the same as the pressure in the *back* of the cylinder. In turn, this means that the horizontal components of forces are zero.\n", "\n", "We know that, even at very low Reynolds number (creeping flow), there *is* in fact a drag force. The theory is unable to reflect that experimentally observed fact! This discrepancy is known as *d'Alembert's paradox*. \n", "\n", "Here's how creeping flow around a cylinder *really* looks like:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "from IPython.display import YouTubeVideo\n", "YouTubeVideo('rbMx2NMqyuI')" ], "language": "python", "metadata": {}, "outputs": [ { "html": [ "\n", " \n", " " ], "metadata": {}, "output_type": "pyout", "prompt_number": 11, "text": [ "" ] } ], "prompt_number": 11 }, { "cell_type": "markdown", "metadata": {}, "source": [ "If you look carefully, there is a slight asymmetry in the flow pattern. Can you explain it? What is the consequence of that?\n", "\n", "Here's a famous visualization of actual flow around a cylinder at a Reynolds number of 1.54. This image was obtained by S. Taneda and it appears in the \"Album of Fluid Motion\", by Milton Van Dyke. A treasure of a book.\n", "\n", "
![image](files/resources/Cylinder-Re=1dot54.png)
" ] }, { "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", "collapsed": false, "input": [ "from IPython.core.display import HTML\n", "def css_styling():\n", " styles = open('../styles/custom.css', 'r').read()\n", " return HTML(styles)\n", "css_styling()" ], "language": "python", "metadata": {}, "outputs": [ { "html": [ "\n", "\n", "\n", "\n", "\n" ], "metadata": {}, "output_type": "pyout", "prompt_number": 12, "text": [ "" ] } ], "prompt_number": 12 } ], "metadata": {} } ] }