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@phobson
Last active August 26, 2016 19:18
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Affine Transforms in Python
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Visualizing and Understanding Affine Transforms \n",
"### Conda environment\n",
"\n",
"You can create a conda environment that can run this notebook with:\n",
"\n",
"```\n",
"$ conda create --name=aff python=3.4 affine numpy matplotlib notebook --channel=conda-forge\n",
"$ source activate aff # omit \"source\" on windows\n",
"(aff) $ jupyter notebook\n",
"```"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Introduction"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"In their formal definition, affine tranforms \"preserve parallel lines\".\n",
"But I'm going to worry about that and instead get right down to brass tacks.\n",
"\n",
"If you have raster -- a regular grid of numbers (array) -- there are two ways you can pick out the value associate with any given pixel.\n",
"\n",
" 1. By its row and column index with in the raster\n",
" 2. By its geographic location on the earth.\n",
" \n",
"Affine transformation put your rasters in the right geographic place so that you can do both.\n",
"\n",
"What's tricky about defining the transformations goes back to a couple of conventions you should know about indexing pixels in the array representation of the raster.\n",
"\n",
" 1. Indexing starts are 0 (in python)\n",
" 2. Index [0, 0] is the upper left corner.\n",
"\n",
"Let's create a basic array and plot it to show what that means:"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
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"text/plain": [
"<matplotlib.figure.Figure at 0x7d26240>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import numpy\n",
"from matplotlib import pyplot\n",
"\n",
"pyplot.style.use('seaborn-ticks')\n",
"\n",
"%matplotlib inline\n",
"\n",
"# 10 x 10 array of ascending numbers\n",
"basic = numpy.arange(100).reshape(10, 10)\n",
"fig, ax = pyplot.subplots()\n",
"img = ax.imshow(basic, interpolation='none', cmap='Blues')\n",
"_ = ax.set_xticks(range(10))\n",
"_ = ax.set_yticks(range(10))\n",
"_ = fig.colorbar(img)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Nothing earth shattering there, just a grid of squares starting at `[0, 0]` in the upper left, with colors getting darker as the values range from 0 to 99.\n",
"The axes show the index of each value in its array, so y-axis gets bigger as you move from top to bottom and the x-axis increases from left to right.\n",
"\n",
"Let's pick out a few values to prove this to ourselves:"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"First (top) row, fifth column = 4\n",
"Fourth row, eight column = 37\n",
"Last (bottom) row, seventh column = 96\n"
]
}
],
"source": [
"print('First (top) row, fifth column = ', basic[0, 4])\n",
"print('Fourth row, eight column = ', basic[3, 7])\n",
"print('Last (bottom) row, seventh column = ', basic[9, 6])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The plot above looks the way it does because the matplotlib developers were aware of this convention and wrote `ax.imsho` accordingly.\n",
"But what if they hadn't been?\n",
"What if we just plotted the values of `basic` against their indexes?"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": false,
"scrolled": false
},
"outputs": [
{
"data": {
"image/png": 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JHx+fpzYDlIjAMAwKCgpga2uLsLCwVg35/icFBQW4ffs2xGIx2rdvD0tL/W+oWhqc868X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"text/plain": [
"<matplotlib.figure.Figure at 0x8771208>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"r, c = numpy.mgrid[:10, :10]\n",
"row = r.flatten()\n",
"col = c.flatten()\n",
"fig, ax = pyplot.subplots(subplot_kw=dict(aspect='equal'))\n",
"_ = ax.scatter(col, row, c=basic.flatten(), cmap='Blues', s=100)\n",
"_ = ax.set_xlim((-0.5, 9.5))\n",
"_ = ax.set_ylim((-0.5, 9.5))\n",
"_ = ax.set_xticks(range(10))\n",
"_ = ax.set_yticks(range(10))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"What the plot above demonstrates is that if we plot the values in a image against their index without regards to image processing conventions we get an upside down image.\n",
"\n",
"But what about geospatial applications?\n",
"What about when the upper left corner of the image is way off in some point and space and the pixels are elongated due to image distortion and the image was taken at an angle relative to true north?\n",
"\n",
"## That's where affine transformation come in.\n",
"\n",
"### No surprises here\n",
"\n",
"[Sean Gillies](https://sgillies.net/) has created a python library called [`affine`](https://github.com/sgillies/affine) that takes care of this stuff for you.\n",
"\n",
"\n",
"## Example\n",
"\n",
"So let's come up with a theoretical worst-case scenario:\n",
"\n",
" * The upper left corner (ULC) is at `x=25, y=15` in our theoretical coordinate system.\n",
" * The upper edge of the image is rotate 30 degrees upward from due east, pivoting on the ULC\n",
" * The pixels are 2 meters wide (along the roughly E-W direction) and 4 meters tall (along roughtly N-S)\n",
" \n",
"### Approaches\n",
"\n",
"If you want, you can read all fo the math papers about transformation and how to build up rotation/transformation matrix by hand.\n",
"But like I said, Sean did the leg work already.\n",
"Instead, you can build transformations up bit-by-bit.\n",
"\n",
"First I'll write some functions that take care of the some math for me."
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"from affine import Affine\n",
"\n",
"def rowcol_to_xy(rows, cols, affine):\n",
" \"\"\"\n",
" Convert (rows, cols) raster column and row indices to coordinates based\n",
" on the affine transformation of the raster.\n",
" \"\"\"\n",
" # make it a 3x3 matrix\n",
" Affine = numpy.array(affine).reshape((3, 3))\n",
"\n",
" # filler\n",
" layers = numpy.ones_like(rows)\n",
" vector = numpy.array([cols, rows, layers])\n",
"\n",
" xy = numpy.dot(Affine, vector)[:2, :]\n",
" return xy\n",
"\n",
"def plot_transformation(data, transformation, connector=16):\n",
" nrows, ncols = data.shape\n",
" r, c = numpy.mgrid[:nrows, :ncols]\n",
" \n",
" row = r.flatten()\n",
" col = c.flatten()\n",
" \n",
" fig, ax = pyplot.subplots(figsize=(6, 6), subplot_kw=dict(aspect='equal'))\n",
" ax.scatter(col, row, c=data.flatten(), cmap='Reds', s=15)\n",
" \n",
" scale = transformation[4] ** 2\n",
" x, y = rowcol_to_xy(row, col, transformation)\n",
" ax.scatter(x, y, c=data.flatten(), cmap='Blues', s=15* scale)\n",
" index= numpy.array([0, 1, 15, 32, 49])\n",
" ax.plot(\n",
" numpy.array(list(zip(col, x))).T[:, ::connector], \n",
" numpy.array(list(zip(row, y))).T[:, ::connector], \n",
" 'k-'\n",
" )\n",
" return fig\n",
"\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Handle the translation\n",
"First let's move our data into the right spot.\n",
"\n",
"Our `[0, 0]` should be at x=25, y=15.\n",
"Let's try to use `Affine.translation` to make that happen.\n"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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V2JCjuzdJpHKKiYkRYpWVldSxSzeS29cjqa0D9Yzsq9Pyd9u2bWRpLSOHht4k\nt7Gls2fPCrHCwkIKCGxOSqf6JJEpafykyf/w6L46L6VdMMdxiwH0A5CCqtIMAZgA4HsAxgCSAYzh\neV6v9ZZsmSTDvHoajQaXLl2Cubk5VCpVjfidO3eQmZkJLy8vWFhY6KyOadOmDYYNGwaO4+Dm5lYj\nNz09Hffu3YOPj0/VgzyqrY7p06cP+vbtC09PzxoXYIkIqampKC0tha+vb40Wxvn5+UhNTUX9+vVr\nrFXXarW4fPkyRCIRvL29ayyrzM7Oxo0bN6BSqWBtrVtBVqvVuHjxIiQSCdzd3Z/lML5WrF0wwzD/\n2D9p5ZuQkID3338f5ubm+M9//gN/f/+XONJ/F9YumGGYJ9JqtUhNTdXprFjdvXv3cPr0aXz88cdC\nK9+zZ88iJCQEarUaycnJyMrKemJuVlYWTpw4gVGjRqFHjx6YMGECjhw5An9/f5SXl+Py5cu4d+/e\nE3MzMjKQmpqq00nyT8XFxUhKSsKDBw9qxIgIaWlpuH79+hNbAhcUFCApKemJbYy1Wi14nkdmZuYT\nx1Sn6FvLeVEvVoNnmFerrKyMwiI6kNLekaykMpowaZJOfP369WRmLiZDQ0OysLCk+Ph4IZaXl0d+\n/o3Jrp4LWVpZ0/wFC3Vy5303n0zNzEhkYEAKpY3OI/uuX79OLm4NyNG1IVlaWdOGDRt0cidMmkQS\nqZwUdo7ULqK9zmP3zpw5Q0o7e3J0a0hSuUKnW6RaraZeffqSVGlL1nIlDRoyVOeawt69e8lKKiMH\n14Zka+9IFy9eFGLFxcXUuk0IKeydyNJKSlOnf/Z8B/U1eJ4aPJvgGaaO++GHH8ivdSgtir1Cc/ee\nIzsnZzp16hQREV24cIEMDA1J6eRK7y9dT51HTaTeffoKuR9N+ZhadetPcw9dpembjpHEWkqZmZlE\nRLRz504yMDSkelwjGvfTDmrRtT99NOVjIbdXn74UPnwCfbU/ld7/eSdZWEqooqKCiKouwNo6udDH\nUWfos12XybN5W/rhhx+E3CbNWtBbH82l6bt56jfrv+RSv6EQ27hxI7l6B9Ck3y/QxC1/UD0Pb4qO\njhbiNnYO1Hf2apq0PZnC3/2Sgtu2E2Lz5s0jrnV7+iAqiUavPkEyG3uhdfKbjrULZhimhqysLDg0\n9IKhkRHMLa1g61wfN27cwNSpUxEaGgoDA0N8tGIXGvo3h5PKD3ezsoXcu1lZcPDwhUgkgrXSHhKZ\nAqmpqRhwUK4MAAAgAElEQVQzZgxGjBgBK5kC73y/BY7u3rBz98HdamWcu1nZcPDwAwDYuLpDo330\n5Kfs7GwonNxgZiGBgaERFPU5nRJQTk427D18AQAOHr7Iy300puzsbChcVTAyNoGxmTnkzg2RnV0V\nJyLcv5cL24Y+AABbdx9kZVf/PtmQuXlBZGAAcysZpPb1hNy6SK918AzD1F49evTA0vYdYKW0Q9H9\nXNxMuYhJkyYhLCwMly5dwsDBQxA1fzrcA4NxdMN/MX3KZCF3QP9+GDZqDESGhsi6dhmashL07dsX\nAwYMQFJSEkJCw7B32dewqe+JY+t/xK8rlgu5g9/uj9nffYvi/Dyknz2GFi1bCStaWrdujbyMqziy\nZgnMreW4tC8KSz/ZJ+T279sXW/7zOfw69gcftxORkX2EWOfOnTHjy5mwcnADaTXIuHAKERE/AKha\nB9+jV2/sX/Qx6rfqiKQ9azFqQD8ht09kbyzv9hbMJFIU591FeX4OmjVr9tKO/evGzuAZpo5r0qQJ\nondsR+nVs7iw/3fY2dpg/fr1WLNmDRwcHLBz+zaEN/WBOu0sZn85A++9966Q27VrV6z85WfkX4jF\nleP74Obqgv3792PJkiWwtbXF0bjDaOwsg8mdJKxa/l907dpVyH3vvXcxe+YMGN74Ax2a+SJ6+zYh\nplAocPLYUbiL1ZA9SMeundvRpMmjG53mfvt/mDB6KIxvnsXQXl2w/L8/C7GGDRsi9uAB1NNkwxX3\ncDT2MJydnYX42l9XY0DnUFhk/oFPP3wHX3w+Q4i1atUK27Zshu2DawhQGOLU8aOwsrJ64cf8TcGW\nSTJMHcda+dYNbJkkwzACevhkpeoPup44caJek/ufT1by9vaGWCxGcnIyhgwZwib3WoZN8AxTB6Wk\npAhPVlq7di369++P4SNGoWfvSJw/f17ns7m5uRg1egzahUdg/oIFOHXqlPBkpf379yMgIACRffvh\n7YGDkJ6erpObnp6OtwcOQnj7Dli5cqVOTKvVYv6CBWgXHoFRo8cgNzdXJ37+/Hn06NUbHTp1RnR0\ntE6soqIC0z+bgbZh4Zg4aTKKi4t14nFxcejctRu6vtUdJ0+e1IkVFhZi3Ifj0TYsHF/OnAW1Wq0T\nj4qKQkTHTugV2QfJycl6H9PaiE3wDFOHFBUVCa18/7xZydDQECNGjUbjiJ5w8ApERPsOwooVIkKX\nbm8hu0SLwI598M3sOejQoYNws1JycjI+n/U1mncbCAOZE0LbhQl93UtLSxHaLgyQOiKw6wB8Putr\nbNy4URjLd/Pn478r16Blz2G4XaRGl25vCTclZWVlIbx9e8hUTcCFvoVhI0fh+PHjQu6ESZOxJ/Y4\nmvUcjvikVAwbMVKIJSUloWfvSNRrFg47/2B07fYWrl599LDvfgMG4HxaJvzfGoKo3fswddp0IXbw\n4EG8M+4DNAjpDiMnT7RtF/bUm7DqAraKhmHqAPqLJyvFxMQgotdAhHTuCQA4d/wQ4uPj0b17d+Tn\n5+PSxYtoGtETv3w7A54BzYGyQgwZMgQAEL17D3oMH4cW7TqhRbtOOLV/B65cuQJ/f39cuXIFIkMj\nGBga4Xb6Nbw17H3s3LUb/fv3BwDsjN6FvuM+hX+rtggIDsPINp7Iz8+HTCZDfHw86nv6oUP/4QCA\nW1d5xMTECA/P3r17N97/bgUc3BqigU8APukZJHzXQ4cOoWm7zgjqGgkAuHY+AUeOHIG7uzuICAdi\nYrDk4CUYm5rBWmGDTd9+gvnfzXu43T0I7jUETcK6AACSTxzE2bNnERFRNx9pwc7gGaaWe7wc8+fq\nmD+5uroi+ewplJeV4l5OFtL4y8Kqk+TkZFSUl2Hv5l8x6+eNcHRxg4d7QyHXzdUFlxKOQqPR4Nb1\nVOTlZMHe3l7IvXn9Gi7EH0HziK5ISjgGN1cXnf1ePBUHIkLKHwkwMTGBRCIBADg7O+NGajLu52Sh\noqwUV88nwNXVVch1dnbBpfgjAICLp+JQr9oqGRcXF6RdOovSokIUPyjA9aTzcHGp2q9IJIKDUz0k\nxVc9j+hy/BG4ulQfkwvSzsWjsqIc9+5m4nb6tbq92EPfO6Je1IvdycowL0ZhYSF9+umnpFAoaNGi\nRcJdoo+rrKyktwcMJLGFJZmbi2n2nDmUk5NDo0ePJnt7e5oyZQpZS2VkZS0l/4DGdPfuXZ19tAsL\nJ4mVNVlYWNLKVavoxo0b1Lt3b2rQoAFNmDiRxBaWZGllRaFh4VRUVCTk3rlzhxoFNCYraylJZbot\nf4mIZs+ZQ2bmYhJbWFL/AQNJrVYLsZSUFHKt34CspDKyd3CkxMREIabVaund98eRudiCzMzFNPmj\nKTqtCk6cOEFKG1uyksqooYeKrl27JsTKy8upR6/eJLa0JHOxBS1cvPj5/wJeMdaqgGH+BbRaLW3a\ntInq1atHgwcPptu3b+uVl5eXRwUFBbRs2TKysbGh8ePH0/3794moauLLysrSmSir7y8nJ4fy8/Np\n9uzZJJfLadasWVRaWkpERKWlpZSTk/PU3KysLCovL3/imIqKiigvL++JMbVaTXfv3qXKysonxvPz\n86mgoOCJscrKSrp7965On/jqcnNzdX4Z1QbPM8GzGjzD1CLVW/muXbv2mVr5Xr16VWjlu3//fp1W\nviYmJrC1tX1inkgkwpkzZ/Dhhx/Cy8sLiYmJqF+/vhA3MzODmZnZU3Oftl0AsLCwgIWFxRNjhoaG\nsLOze2ru433eqzMyMvrLXEW1p1bVZawGzzC1wJNWx+g7uefm5mLEiBHo3LkzOnXqhNjY2Bp92pOS\nkrBnz54afVlu3ryJ7t27Y/jw4Xjvvfewfft2nckdqHqQ9d69e1FQUFBj39nZ2dizZw+SkpJqxLRa\nLY4dO4YDBw4IK3Oqy8jIwO7du3Ht2rUascrKShw+fBixsbE1lkECQGpqKnbv3v3ElsDFxcXYt28f\nTp48KazqqbP0PdV/US9WomEY/T1vOYaoqsSxbNkyUiqVpFAoyde/CTX04KhPX91H3C1atIhsbO2o\ndUgY2djY0vnz56msrIxmz55NUqmUrKytKbBlEDk5u9Ckxx5xN2nSZHKq50LNW7UhZxdXunnzphA7\nd+4cKW1sqVWbdmRja0eLq9W7NRoNRUb2oQbuKmrUOJD8/BrplFv2799PcoWSWoWEkVyhpE2bNgmx\n0tJSah0UTJ6+jUjl5Uth4RE61x9Wr15NcoWSWrSpyj1y5IgQy83NJRXnSY0CW5BL/YY0+LFWw28y\nVoNnmDokOTmZwsPDydfXl+Li4p4pNz4+npo2bUrBwcE0efJk6ty9D/2RXkCnU3PJg/Oi2NhYIqqa\nLM3FYtp1IonOpBfQp1/Pp+YtWpKHhwd1796dhgwdSsPenUiJ1wso9vxNkiuUdP36dSKqel6rQmlD\nh87doIRr+TR07AT64MMPhTF0e6s7TZn5HZ28ep+2HblIZubmQs/3w4cPU0OVJ8UlZdHxK/eoQ7dI\nWrBggZDr18if5v68gY7w9+inTfvI0ameEFu9ejU1Dwqlg5dz6EBSNvkHtqQtW7YQUdUvRGupjH7Z\nfoQOJOfQjIW/UItWrYXcWbNmUafIgRRzOZt2nL1B9VzcKCEh4dn+Yl4T1i6YYeqAf1qOGTNmjM6T\nlaytraGwsYNIJIKxiQmkMrlwZ2hlZSUAQCpX4E5mBnZt3YgL589j4cKF2L59O4wMjaC0rVoWKbaU\nwMLCUsgtKSmBWGwBsUXV0kelrT2Kix7dcVpcXAylXdVyTWt5Vc27oqJCyJXKFDA2MYFIJILcxg5F\nRUVCbklJCeQ2VTV0ha09Sop1tyu3sYOBgQEMDQ0hU9jo3OlaVlaqk1s9VlJSApmyKmZiagaJtbTG\nXbJ1ir6/CV7Ui53BM8yTvYhyzOOrY4iIUlNTSam0oWFjx1P3PgOJ8/TSWUHSv//b5OTsSqZm5mRh\naUlr164VYsePHye5QkmjPviY2nXoSm1CQoTljGq1mtqEhFBo+640ctwUkiuUdPz4cSF38+bNZGfv\nQKMnTKOmLYNp4MBBQqyoqIg4T0/q2nsADRz1ASmUNpSamirEFy5cSG4N3GnUhOnEefvR1GnThNjt\n27fJwdGJeg8ZQz0HjKB6zi6Uk5MjxMePn0DejZrQ8PFTqZ6LG/24bJkQu3TpEskVSuo/+kMK7xZJ\nfo38hdVAb7rnOYNn3SQZ5g3wsh90nZqaijVr1sDc3BzvvPMO5HI5gKq7XD/88EOIxWK0atUK/fr1\nQ7t27XRyz5w5g61bt8LGxgbvvPMOzM3NhVhpaSl+/vln5OTkoHfv3mjatKlO7uHDh7Fv3z7Ur18f\nI0eOhJHRo4V79+7dw88//4zS0lIMGTIEHh4eOrnbtm3DqVOn4O/vj7ffflun0VlGRgZWrFgBkUiE\nMWPG6NzYpdVq8dtvv+Hy5cto06aNTgtjALh8+TLWrVsHiUSCd9999y9X47xJnqebJDuDZ5jXSN+b\nlZ6k+s1Kv/766zNdLKx+s9LOnTufZ+jMK8Zq8AxTSxC9nla+5eXlmDNnDho3bgx/f38kJSWhW7du\nL+IrMW8gNsEzzCuWkpKCDh06PLV3zF9JSEjQaeW7ZMkSSKXSv81btmwZ3NzcYG1tjejoaCQmJuKL\nL76AmZkZ0tLS0KFjR6g4T4wfP164EApUlTtmzZoFztMLQcFtcPbsWZ3tnj17FkHBbcB5emHWrFlV\nS/MeqqiowPjx46HiPNGhY0ekpaXp5O7fvx9NA5vBx9cXy5Yt04k9ePAAg4cMgYeKQ+/ISOTk5OjE\n161bh0b+/vAPCMDWrVt1Ynfu3EH37j3goVJhxMiRNS6iLl68GF7ePmjWvAWOHj36t8euVtP3VP9F\nvViJhvm3el3lmFWrVpFYLCY7B0ca/9FUUiiVlJ6eTkRVF3Y5zpOmfTmb9h8/S6Hh7Wnq1KlC7o8/\n/kiNAprQrkOn6Lul/yU7e3t68OABERE9ePCA7Oztae7S/9LOg6eoUUATWlbtgubUqVMppF172h2X\nSB9//g1xnKcw7uvXr5NCoaQfV2+iDdGHyMXVjXbv3i3kvj1gAPXqN4h2xibS0NHvU0T79kLs1KlT\nZGfvQKs276bl63eS8uHa/T+1at2aRn0wmbYdOk2du0fSqNGjhdiWLVuofkMPWrszlhb89BspFMpn\nupj9OrF18AzzBnpZq2P+zp83K5mbm1PLoBBKvV1AGffKKaJjF9q2bRsRVfWnkVhZ0Y28MrqRV0Zr\no3ZRm5C2wjYGDxlKcxf/RNdzSul6Til5evvQH3/8QUREf/zxB3l6+9C17FK6ll1K3y7+iQYPGSrk\ntgkJodWbd1FqVgmlZpWQpURC9+7dIyKibdu2UVj7TsTfLSb+bjGNmzyNZsyYIeS6utWnPcfOU/Lt\nYopPziQLS0shtmTJEho4fAxdziyiy5lF1KvfIFq+fLlwrA0NDelsWh5dvFVIW/adIC9vHyF38uTJ\nNGHqLDp/s5DO3yykFq1DaN++fXof09eJ1eAZ5g3zOsoxQNXqGD8/P8THx2Pu3LkofJCP/Pv3cPnS\nBZw/mwiO4wAAUqkUEokEO7ZuQlFhIbZuWgs/Xx9hO74+3ojethn59+/h5LE4ZGfdFVrzuri4IDvr\nLk4ei0P+/XvYtW0zfH28q+X64PdNa1FUVIjo3zfDSmIlrFjhOA4Xzp1FStIFZN29g8P7dsHX11fI\n9fHxxu8b16CkpBhR61fD29u7WswHx2IP4NbNdKSnXUX88TghLhKJ4Onlhaj1q1FSUoxtG3+DT/Ux\n+fricMxO5OVkI+n8WVxJSaqxeqdO0fc3wYt6sTN45t/gTVodo9VqaerUqSSRSMjG1pZWr16tk5OY\nmEgc50lmZmb0VvceOi0DKioqaPiIESQWi8nZ2YX27t2rk7t3715ydnYhsVhMw0eM0PmeBQUF9Fb3\n7mRmZkYqzlOn5S9R1R2pNra2ZCmR0NSpU3W+5+3bt6lNSFsyNTWlpoGBdPXqVZ3cuXPnkrVUSlKZ\njJYsWaITS05Opkb+AWRqakrtwsIoOztbiGk0moctji3Izs6eNm7cqPexfd1YiYZhXrPXXY55vJUv\nU3e81HbBHMe1APAtz/PtOI4LABAN4MrD8DKe5ze/jH9hMExtkZKSgg8//BB379595la+1W9WeryV\n79/582alJ7XyZf7d9JrgOY77GMAQAH82i2gKYAHP84te1sAYprYoKirCN998g+XLl2PGjBkYN26c\nXuvZgareMdOmTUN0dDTmzZuHwYMH67WeHahq5Ttp0iScO3cOS5Ys+cv17Dk5OdixYwfMzc3Ru3dv\nnf7tRISYmBikp6ejbdu28PLy0sm9ceMGYmJioFQq0aNHDxgaGgoxjUaD7du3Izc3F506dRLq839K\nTk5GXFwc3Nzc0LFjR53vVlZWhq1bt6K0tBTdu3eHjY2NTm5iYiJOnz4NPz8/BAcH68QKCgrw+++/\nw8DAAL1794alpaVOPDY2FsnJyWjVqhUCAgJ0Ynfv3kV0dDQsLS0RGRmp999VbaTvRdarAHpV+3NT\nAF05jovjOG45x3FP7tjPMHUYUe24WenOnTsIDAzEnph9+GX5/9ChQwedte6ffPIJJk2ejFMJpxES\nEoLY2FghlpSUhObNmyPuyHHM+b9vMXDQoKra7sPvP3DQIMz5v28Re+QYmjVrptP3PTY2FiEhIThx\n6jQmTpqMTz/9VIhVVFSgfYcO+PmX5di1JwaBgYG4c+eOEF+3bh3eeqs7TiacwcCBg/D9998LsYKC\nArRo2RKbtmzFmnUbEBQcrNOobO7cuRg+YiSOxyeiY6dO+P3334XYzZs30aRpU+yOOYAl3/+ALl26\nPrGffJ2hby1HpVK5qlSqEw9/HqZSqRo//Hm6SqX67hm2w2rwTK2XnJxMERER/7iV77lz554pd+/e\nvUIr37S0NL1yZs+eQyNHjaFNUdso+UoaNW0aKCwNLC4uJnNzc7qVlUfFFVpavvJX6tS5s5A7duxY\n+mLWN1RYpqXcglJydHIinueJqOq5qY5OTpSTX0IPSjX0xaxv6J133hFyO3XqTD+v+JXul6jpemYO\nmZubU3FxMRERxcTEUOMmgZRXVEn3itU0bOQYmjNnjpDr5e1NO/YeppzCSjqReJFsbW2F2C+//EJd\nu/ekrAcVlPWggsIiOtC6deuIqOoaiKWlJZ2+dJXuFFTQuqhoCgxsJuR+9tlnNPq9DynzfjndzC0h\nTy9vOnbs2DP9Hbwur/KRfdt4nv/z8S2/A1j6pA9xHBcKIPSxt/Vb58Uwb6DaUI55XFZWFvbsjsaZ\nxNNYvylK77wXiaiOPznp1ZrIcVz+Y+/F8jwfW+OT+v4meOwM/pRKpQp8+PMHKpXq22fYDjuDZ2qd\n2rg65sGDB/TRRx+RXC4nmUxGvSL7UNvQdtSmTRudh2BPmTKFPL28aNiIkaRUKunw4cNCLCkpiWxs\nbGjgoKHUNLAZ9evfX1jOqNVqqV///tQ0sBkNGDSEbG1tKSkpScg9fPgwKZVKGjJsJHGeXvTxxx8L\nsfLycgpu04batA2lXpF9ycXFhe7cuSPE165dS/b2DjR4+EhydnahpUuXCrH8/HziPD2pU5duFNGx\nMzXy99dpf/ztt9+Sq1t9GjRsJNna2dHWrVuF2I0bN8jB0ZF69elPLVsHU0RE+6c+1PtN81LbBXMc\n5wpgPc/zrTmOawzgewAVAO4CGMvzfNFfbuDRdtzA2gUztUj11TEvo5Xv01RfHbN48WK9V8cQETZs\n2ICPP/4Y7du3x9y5cyESiYSLrJGRkTA1NdX5/L59+3D9+vUnXmS9efMm9u7d+48ustavXx8dOnR4\n6kXWHj16QKlU6uT+eZG1UaNGCAoK0on93UXWuLg4JCcno2XLlk+9yCqRSNC7d+9ac5GVtQtmmBfo\nTbpZSV+XLl2i0NBQCggI0Hn4BlP7sVYFDPMCUC1ZHVNdYWEhpkyZgtDQUERGRuL06dNo3bq1XrlM\n3fW8F1kZpk6qbTcr0WPlmKSkJNja2uq9X6ZuYxM8w6B2ro5JSkrCBx98gPz8fGzatImdsTM1sBIN\n86/GyjFMXcbO4Jl/LVaOYeo6NsEz/zqsHMP8W7ASDfOv8U/LMT///DMrxzC1CjuDZ/4VXkQ5xszM\njJVjmFqFTfBMnfaiyjFz587V+4wdYOUY5s3ASjRMnfSiyzFDhw5l5Rim1mFn8Eydw8oxDFOFTfBM\nnfEmlGOWLl2Krl276j1mVo5hXiZWomFqvTepHKPv5M7KMcyrwM7gmVqNlWMY5unYBM/USqwcwzB/\nj5VomFqFlWMYRn/sDJ6pNVg5hmGeDZvgmTceK8cwzPNhJRrmjcXKMQzzz7AzeOaNxMoxDPPPsQme\neaOwcgzDvDisRMO8EVg5hmFePHYGz7x2rBzDMC8Hm+CZ14aVYxjm5WIlGuaVY+UYhnk12Bk880qx\ncgzDvDpsgmdeCVaOYZhXj5VomJeKlWMY5vVhZ/DMS8PKMQzzeuk9wXMc1wLAtzzPt+M4riGAVQC0\nAC7xPD/uJY2PqYVYOYZh3gx6lWg4jvsYwC8ATB++tRDAdJ7n2wIw4Diux0saH1OLvO5yTJMmTVg5\nhmGq0fcM/iqAXgDWPPxzU57njz78eQ+A9gC2v+CxMbXIm1COOX36NCvHMEw1ek3wPM//znGca7W3\nqp9WFQKwfqGjYmoNVo5hmDfX815k1Vb7WQIg/0kf4jguFEDoY29Ln3OfzBuEiLBlyxZMnjwZoaGh\nuHjxIhwcHPTK1Wg0WL58OT7//HMMGDAAycnJkEr1+8+ivLwcCxYswMKFCzF+/HisXbsWZmZmeuUW\nFhZi1qxZWL16Nb788ku8++67MDJi6wyYWmcix3GPz7mxPM/HPv7B5/2v+yzHcSE8zx8B0BnAoSd9\n6OEOdXbKcZwbgAnPuV/mDcDKMQzzWi3meT5dnw8+7wQ/BcAvHMcZA0gGsOU5t8PUIqwcwzC1i943\nOvE8f4Pn+dYPf07leT6U5/kgnudH8zxPL2+IzOvGVscwTO3ECpDMX2LlGIapxYjolb5UKpWbSqWi\njIwMehNs3LiRWjVuQmFBwRQfH68Tu3PnDvXr1YsCff3oyxkzSK1WCzGtVkvfL11KzfwaUZeI9nTl\nyhWd3CtXrlCXiPbUzK8Rfb90KWm1WiGmVqvpyxkzqKmvH/Xt2Yvu3LmjkxsfH0/tgoKoZeMmtHHj\nRp1YSUkJffDee9TEx5dGDR1GBQUFOvG9e/dSUGAzCm7egg4dOqQTu3fvHg0ZMJAa+/jQ5AkTqLy8\nXCe+evVqauYfQOEhbenEiRP06aefkkKhoEWLFlFFRYWeR5QoJyeHRo8eTfb29rR69Wqd7/53bty4\nQb1796YGDRpQdHS03nlERJcuXaLQ0FAKCAig48ePP1Muw7zpMjIySKVSkUqlciM959t/9QQfGxtL\nCrEFvWMqoUEmFiSzlFBmZiYRVU3gjTw9KczMkt43kZC7pYS+mjlTyP119WpytLCk0cYS6mZiSY42\nNlRcXExERMXFxeRoY0OdjMU03NiSHC0s6dfVq4XcWV9+SQ0sJDTUyIKCTC3Iz9NTmAQzMzNJaimh\nrobm1NfQguRiC4qNjRVyRwwZQl7mEnrbwIIamVlS1w4dhNi5c+fIWiymriJz6iwyJyuxmFJSUoR4\naHAwNTKxoJ4QU0NzSxr3zrtCbM+ePSQXW1AnmJEnjMlAJKK+ffvS7du39T6earWafvrpJ7KxsaHx\n48fT/fv39c4tKyuj2bNnk0KhoFmzZlFpaaneuQ8ePKCPPvqIlEolff/991RZWal3LsPUFs8zwf+r\nm40dOHAAzdUEPyMTtDI2g5uxCRITEwEA+fn5uJqWhq4whruhMcIrgD3bdwi5u7fvQOtygsrQGCEG\nJjAsr0RqaioA4MqVKzAsr0CwgSncDYzRvFyLPTt3VsvdjtblWrgZGCNMa4SraWnIz69a9XT69Gk4\nGRrD38AUHgbG8C7X4ODBg0Luvr0xaF1OcBYZoW2FAQ7HHRFicXFxcNcaQiUyhqfIGA1Exjh+/DiA\nql/kR06cQOsKAziJjNC0lBCzZ4+QG7NnD9xLKnEfWmRDAzuxBcaOHav30seEhAS0aNECa9aswf79\n+7FkyRK9lz7GxMTAz88P8fHxOH36NL744gu9lj4SEdavXw8vLy/k5eUJF1TZ0keGqfKvnuDd3d1x\n1dQI5US4p9XgZnmZUOu1srKCmZkZUrVqaImQbEhw5zghl/PxRqqJATREuKNVI7+yHI6OjgAAJycn\n5FdW4K5WDQ0R0kwMofLyEnJVnl64aiQCEeE6qWFmagYrKysAQP369XG7shwFpEUFETLNTNCwYUMh\nt0GDBrgm0oKIcBWVcK1XT4g1bNgQtw2BMiKUkBa3oUGDBg0AACKRCM72DkiDGkSEG4aEhu7u1cbk\niWyxKTgYIwJmKNZq4epa/d62J8vNzcWYMWPQo0cPjB8/HkePHtW71n7z5k1ERkbi/fffx6JFi7B9\n+3a9a+1JSUkICwvDvHnzsGnTJqxcuZLV2hnmcfqe6r+o15tUotFoNDRi8BAyMTIiU2NjWjh/vk78\n8OHDpLCyJhNDQ2oeEEA5OTlCrKSkhDpHRJCxoSFZmJnRhvXrdXI3rF9PFmZmZGxoSJ3DI6ikpESI\n5eTkULOAADI2NCS5lTUdPnxYJ3fB/PlkamxMxoZGNHzwENJoNELs2rVr5O7qRiZGRlTPzp4uXLgg\nxLRaLU2eMIGMjYzI2MiIPps2TWe7iYmJZK9UkomREXm5e9DNmzeFWGVlJfWP7EPGhkZkZmJCPy1b\n9pfHjpVjGObVYjX451RaWvrUiUKj0VBRUdFTc4uLi3UuvlanVquFuvyTFBUV6Uze1VVWVj514tNq\ntVRYWPjUi5dlZWU1LqA+nvs0JSUlfztpxsfHU9OmTSkoKIjOnTv3l5993N69e8nDw4O6d+9OaWlp\neiGDw5oAACAASURBVOdptVpat24dOTk50fDhwykrK+uZ9sswtd3zTPCsWAn8Zb3XwMAAFhYWT42L\nxeKnxgwNDf8y/lfbNTIyemotWSQSwdLS8qm5pqamT439Xa65uflTY+xmJYapXf7VNXig6u7MHTt2\nYN++fdBoNDXiiYmJiIqKwq1bt2rEcnNzsXXrVhw5cqTqn0PVEBGOHDmCrVu3Ijc3t0burVu3EBUV\nJVzUrU6j0WDfvn3YsWMHioqKasSvXr2KLVu24PLlyzViZWVl2LVrF3bv3o2Kiooa8QsXLmDLli1I\nS0urESsoKMC2bdtw8OBBaLWP2g2xm5UYppbS91T/Rb3epBJNXl4eebi6UlOZnFTWUuoSHq5Tbpk9\naxbZW1pSsEJJComETp8+LcTS0tLIXqGglnIFuUisaOyIETrbHjtiBLlIrKiFXEH2CoVOOeL06dMk\nl0iotVxJdpaWNOerr4SYWq2mTmFh5G5lTQFSGXm4ulJeXt7/t3ffcU1d7x/APyHM7JCwp6i5ONgK\nKghO3LO1Wvdsa20dHVZrW9t+tb+67beto0PrqqNV1Fq3FRVUcFXFcZ0IiLjZECB5fn8Er8TRL1I1\niOf9euWl4cmTe3LEw+Xcc54rxDdt2kRqiYSaqjXkKJGYLb8sKCigkAYNqL5SRf5KFTUNC6Pi4mIh\nvmD+fNJIpBSu1pBKKqWdO3cKsevXr5OPuzsFqtTkI1dQz86dyWAwsOkYhqkm2Bz8E5o+fTq1lStp\nm9aNNmtcqY5SKWwOKioqInsbG1qudqbNGjcaLVVSh5Ythdy3hg+n3lIFbXR0pdVqZ3KUSOjixYtE\nRHThwgXSSCS0Uu1E6x1d6DWpgkaOGCHktotpQW9K5PS72oV+VGrJ3sZGmG/ftWsX1VYoaaXSidao\nnKmFTEEzZswQcuv5+dEEiZJ+VTrRVzIVuajVQmzRokUUqlDRUoWWliq01FCpojVr1hCRadCUOzjQ\nVKmKfpZraZS9nBo1bCjkTv7sM4pxkNECmYa+kzqSq1RKXbt2ZZuVGKaaYOvgn1BxcTGk5VMrVgAk\nVlYoLi4GAJSVlQEAHMqnIWQiEYoLi4RcfVERpEZTri1EsLMSC7l6vR62VlawLS+bLzUaUVxYeD+3\nuAgykanr7UUigO4fT6/Xw8HKSviHkRgJRUX3j1ui10Na3iaJyAr6CtMwer0eEpjm2UUiESQQCW0C\ngNKyMkjK31kqskJx0f1YcVERHIxGGImwv7QYNwoLYWNjw6ZjGOZFVtmfBE/rUZ3O4C9fvkxOSiV1\nlSmphUJFDevWNVvOOKRff2qgUFIvqYI0Eilt3LhRiCUnJ5NaKqXuUjk1UqiodVSUsCLGYDBQ66go\nClOoqJtUTmqplJKTk4XcjRs3kkYipR4SOdVTKGlIv/5CrLCwkBrWrUuRciW1l8pJq1TS5cuXhfh3\n335LbjIZdXOQkbdMTp9/+qkQu3HjBnk4OVFLqYJiZArydXenO3fuCPEPx71HteQK6mQvJWepjBYv\nWiTEeJ4nhURCcpEVSa3E5F+7ttn0zv/CpmMY5tmqyhm8iOj5FoIsrwd/edeuXfCssEnHUq5cuYJV\nq1bBwcEBgwcPFjYcAYDRaMSvv/6K1NRUtGnTBk2aNDHLTUlJwcaNG6HVajFo0CCz1St6vR5LlizB\nrVu30LVrVzRs2NAs98CBA9i1axd8fX3Rt29fWFnd/2UqNzcXv/zyC4qKitCnT5+HNhxt374dSUlJ\nCAwMRNeuXc3OrrOysrB8+XKIRCIMGjQIWq1WiBER1q5dizNnziAyMhKtWrUCcH91zIYNGxATE4Po\n6GgMHTr0H1f53PO0Vsd8//337IydYf5BRkYGWrduDQC1KlsP/qU+g3/Zsc1KDPPiYOvgmUqzVCnf\n1atX44MPPmClfBnmOXipL7ICwKzp01HL1RX1fH2xadMmsxjP84gKC4OnVoth/fubXbA0Go0YP24c\nvJycEOLvj4MHD5rlHjx4ECH+/vBycsL4cePM1pUXFxdjWP/+8NRqERkaBp7nzXI3bdoEfx9f1HJ1\nxewZM8xid+7cQY8OHeCh0aBdTAyuXbtmFv/5p59Q28MDdTw9sWL5crNYWloamjcOh8TeHjHR0Rgx\nYoRQO4aIMPXLL+Ht7IwGfn7YsWPHQ331b2vHtG7dGtOmTWO1Yxjmeansqf7TelSnKZoNGzaQn1JB\ncZ4e9LObK2mkUmGpo9FoJD8PD/pYq6Wtnp7USq2m90ePFnL/O3cuhahUtMHNnaZrtOSkUAi12XNy\ncshJoaBpjlpa7+JOwUoV/XfuXCH3vXffpZZKNa3XutGHSjX5eXgIyxAvXrxIjlIpfat2omUaF/KV\nK8wu7r7SqTP1UKjpd60rDVSoKDo8XIglJCSQq0xGC9RO9L1aS05SKR09epSITNMxPu7uZC8SUXs7\nB2otV9CA114TcletWkW15Qr6SeVEXykcyVEqo4yMDCJi0zEMUx2wZZJP6NChQ2hvJYa/nR2aSSQI\nlElx8uRJAMDdu3dx89Yt9JXL4Wljg9ft7JCUkCDkJickoJuVGL42NmgnlcJRLBZ2h166dAlqsRix\nEil8bGzQzUqM5AdyX7Wyhoe1NV5zkOHGzZu4e/cuAODkyZNo6CBBuJ09dDa2aE0iJCcnV2hzMnrb\n2MJNbI2+dhIcOX5ciB05cgTNrG1R38YWATZ2CLezx9GjR4VSvlcyMzFHqcVHCkf0sbbHoYNJQm7S\n/v1oaSD4Wtsg3NYetezscfr06X9VynfVqlWslC/DWNBLPcCHhIRgh9GIK6WlOFZcjBP5Bahfvz4A\nQKVSQa1SYV1eHm4ZDFhbUoLQ8PD7uRER+NNowPWyMuwpKsTtsjL4+voCAHx9fXG7tAx7iwpxvawM\nm8mAkIiI+7nh4VhvLMVtgwEbiwrgqFYLtdPr16+PU0WFOFGiR3pZKeKtCCEhIUJucHAw4kr1uGs0\nYK2+EIHl7b0XO1hWgktlpThfWoKk4iL88ccfQinfQB2H44ZS3DUa8IehBMFhoUJuaOPG2GctwjVD\nGY6X6nGhqABz5sxh0zEM8yKr7Kn+03pUpykao9FI/5k8mZyVSvJ2cRF2fd5z4sQJCuY4Ukul1Kd7\nd7OqkqWlpfT2iBGkkctJ5+1tdtclItPdonTe3qSRy+ntESPMSiDk5+dT7+7dSS2VUjDHmZX8JSJa\ns2YNeTs7k5NSSV9Onmy2i/TGjRsUGx1NKomUoho1oitXrpjlfjt3LrmoVKSUSkkul5utjrlw4QI1\nCQompURKnVq3MVsjbzQa6ePx48lRJiOVTEZyuZxNxzBMNcJKFTAWqx2zcuVKtlmJYZ4htkzyJWbJ\nUr7vvvsu7t69y0r5Mkw181LPwQNAZmYmvv32W/z4448oKCgwixER1q1bh9mzZ+PYsWMP5Z4/fx5z\n5szBsmXLhFoy95SWlmLZsmWYM2eOcK/Wio4dO4bZs2dj3bp1pl+lKigoKMCPP/6Ib7/9FpmZmQ/l\n7tu3D7NmzRJKHFcs5ZuYmIj8/HwsWLBAuM9rxc+zefNmzJo1CwcOHHiodsyWLVtw4cIFLFq0yGxJ\n6KNUrB3Ts2dPVjuGYaqjyp7qP61HdZqiSU9PJ3eNhvp5u1I7d2dqFNDQrP7KqBEjKFDrSG/6upGT\nTEbbtm0TYseOHSOtXE5DvVwo0kVLXWLbCnPlRqORusS2pWbOWhri6UJaudxsumTbtm2klUlphKcL\nBWjU9M4bbwix4uJiatSwIbV10VJvNydy02jM+urnn34id7mchrk5k5tUSh4eHsJ0zO3bt8nPw4O6\nuThRZ2cn4nx9hKWbRESTJ02iOiolDXZxIpW9Pbm6ugrTMRcvXiRnlYpec9JStEZDkY0aUUlJyUN9\nxqZjGMYy2Bz8E5oyZQoN93ahnJbBlN0iiBq7ONHWrVuJyHQh1MHGhtIiG1B2TCD9XM+bYqMihdwR\ngwbS5z6udKdZQ7repAF5KhV05swZIiI6c+YMeSrkdC28Pt1q0oA+83ahEYMGCrmxkZG0wM+drjeu\nR+dDdORgYyNcwN26dSuFOWkoI4Sjq6H+NMhVS1OmTBFy/b29aX0dbxquVZOjWEwye3vhB8vChQup\ns7MTpTbUUWpDHbV2dqLly5cTkWlgltja0jpfL2onl5KztZj8PDyE9/14wgQapnWkc1xtOqvzo3qO\natq7d69Zf6WkpFDLli1ZKV+GsQC2Dv4JWVtbo7h8doQAlJARYrEYgOlWfRABJeUlgYuNRljb2Ai5\n4gq5ZUQoNd7PFYvFKCNCGUwv0JPp9RVz9eXTMiXlf94rNiYWi1FChHuTNvrydgq5YjH0RIiQOeAn\nX3dI7O2FuXaxWAw97v/j6omENun1ehiMRgxOu4p69nb4wtUZjkqlWZvuFR42Aig13s9l0zEM84Kq\n7E+Cp/WoTmfwN27coNqeHtTO05XCXbTUpnmU2dK+zz6eSLXUSnrFx520cpnZWSvP8+SqVlNXT1dq\noFHToD59zKZoBvXpQw00auri4UquajXxPC/kJiYmkkYuox6eruSrUtBnEycKsdLSUmodGUlhThpq\n4+pMfh4edOPGDSH++++/k5NMSj3cXclVLqMfFiwQYnl5eRSo01FzZy01c9JS44AAKiwsFFbHNGzQ\ngJylUurm5kJamZT+/PNPIffq1avk5exMbZydKNBRTZ3atKHS0lI2HcMw1QQrF1wF2dnZ2Lp1Kxwc\nHNCxY0fYVDhLB0wXNFNTUxEZGQk/Pz+z2LVr1/DXX39Bq9UiNjbWbNUKEWH79u24desWWrVqBTc3\nN7PcS5cuITExEb6+vmjevLlZrLS0FJs3b0ZRURHat28vbIK6JyUlBUePHkXDhg0RGhpqFisoKMDm\nzZshEokQGBiIiRMnmq2OSU5OxtmzZxEeHg5/f3+z3Nu3b2Pbtm2Qy+Xw8fHB2LFjcffuXVbKl2Gq\ngaqUC/5XAzzHcUcA5JQ/vczz/LBK5PiiGg3wNZFer8esWbMwe/ZsjB49GuPHj69UeQHANB3zxRdf\nYMmSJZg8eTLeeustVl6AYaqBqgzwVf6fy3GcHQDwPN+qqu9RXRgMBlhZWT123bjBYBDmo58kl4hg\nrDA3/yTvW9Xce6V8/f39H1vK91G5RKyUL8PUNP/mImsQACnHcds4jtvJcVzE/8yoZoxGI0a/PRIS\ne3sopFIsXDDfLL5//374uLnCztYWsTHRQkEwwHSW/HrPHrC3s4OzWo0NGzaY5W7YsAHOajXs7ezw\nes8e0Ov1Quzu3btoG90cdra28HFzxYEDB8xyF86fD4VUAom9PUa/PdJsnXxaWhoaBzSErY0NGtSp\njbNnzwpff+WVV/B6nz5IvXwJu7Zvx5qVv5q974kTJ8D5+MDWxgZNQ0OEUsOnTp1Cq1at8M6oUbie\nlYW439Zg65Yt/6JnGYapDv7NAF8IYAbP8+0AjASwguO4F2pVzsqVK7H/j3VIH9ACSd0aY/KEj3Dq\n1CkAprPcV7p2wdxAd+QNaQ2v2+n46L1xQu7M6dORczwZt16PRlyUDkMH9Mft27cBmOayhw7oj7VN\na+NGr0jk/J2MmdOnC7kfvTcOXtevILtXFGbrtOjZpTMMBgMA02A7ecJH2B/TAJc7NUJi3O/49df7\nA/UbAwegPeUju3sTjFCI0LdnD2GzklQqhaMVcLZlEI41r4/5M2cgoUIVyz7du2GcSow77Ruhaf4t\nvDF4kLA6xtXVFXVtREiNCcD2IF+8/84ooTomwzAvpn8zuXoOwAUA4Hn+PMdxtwG4Abh67wUcx7UA\n0OKBPBWqibNnz6K9ixJqOxuo7WwQ6uqIixcvokGDBsjJyUFBYSE6eTtBJBKhl48W086cFnLPpZxE\ndzclHKzFCHdSwlXmgIyMDGg0GqSnp8NN5oBwrWkZYlcXOQ6eSrmfeyoF4z3UsLYSoaO7BgXJF5Gb\nmwu1Wo0LFy4gVKtCHbkDACDWUWJ2Q5Bz585heoAbxCIRnGzE+PtvHl7lpXz/+OMP2B2Mh4u9LQAg\nUqPAuXPnEBUVBSLCuStp6NU2FFYAVFbA1l1/QevugVOnTmHaV1+hnsIeCmsxFDIH1FcpcOnSpYcu\nLDMMY3FjOY7LfuBr8TzPxz/4wn8zwA8FEABgFMdx7gDkAMxuL1R+QLODll9kHfMvjvvUxMTEYOi8\nb9HcTYWbxSU4lHUXC8tL86rVavh6eeE/f19GBw9HfH3qKmL6DxFyo9vGYu6nu6FTSHHibj5yygh1\n6tQBANStWxfZZYSF5zIRoJLg+8u3MHZYW7PcacsWQW4jxtasbPh6ewkrZUJDQ3HoVjZ+S5NAa2eD\nFZnZWBQdfT+3RQtMTPgLBcXFOJpdgLDAAGF6KDIyEl99+gk6qCUoI8KO63cxqfxG4SKRCM0jwvHO\n6Uvgc/JxsagEXTp2wOLFiwEALVq3xpilv6CRMg8ZxSU4k1eAgICAZ9j7DMNU0dxnftNtnU5no9Pp\nlut0un06nW6PTqdrUsm8arMOnojol8WLKTygAcVENH5o52ZaWhr16NieQvx19NH775utkTcajTT9\n6/+jsPr+FBvTnFJSUsxyU1JSKDamOYXV86fpX/+fWcnf0tJS+uj99yiE01H3Du0pLS3NLHfv3r0U\nE96IGjdsQL8sXix8vbi4mCZPnkz2dnbkonGkvq++Ylbyl4goLi6OmgQFUtPgINq8ebPw9dzcXBo5\nciTZ2dqSh7MTjRw2jAoLC81yFy6YT2H1/KlFRDglJSU9WUcyDPNMsXXwNVjFG13PnTu3yje6njZt\nGlsdwzAvoOe6TJJ5PlgpX4ZhquqlH+BTUlKw+Oef4SCR4N3Ro+Hi4iLESkpK8N133yH14gW079QZ\nHTt2NMtNTEzEb6tXQevsjDFjxkIulwuxvLw8fDN3Lm7dvIFevfsgMjLSLHfz5s3Y+ucm+Naug3fe\neQe2trZC7Pr165gzezYSEvbh1OkzGDduHFasWAF7e3sQEVauXIkDCfsQGBKKYcOGCXVsAODixYv4\n9ptvsP/AAVy8dAlffvkl3nrrLYjFYqG08JmUk4hu2Qq9evUya9OxY8ewbMkvkMnlGDN2HDQazVPp\nY4ZhLKSyczlP61Gd5uBPnz5NWpWSPm3TiEZGBlJtHy+z8rqvdutKsfVq0fQOEeStdaTly5cJsd27\nd5OTUkFT24RR72AdNQkLEeboS0tLqUlYCPUJrktTW4eSk1JBu3fvFnKXL1tG3lo1TW8TSrGcD73a\nrYsQy8nJITcnLSntbEjnKCe1XEanT58W4l9NmUIN3J1pRssgCvdxo3Gj3xViaWlppJRJSWZjTfU1\nCnLVaigrK0uIvzlsKEX6uNH0qAbEuWho7uzZQuzYsWOkVcrp8wiOhgbUovp1alNBQcHT6WiGYf41\nVk3yCa1ZswYDg/wwuW1jfNs1El4SW+zbtw8AkJubi83btiGuT0u8FxWIb9o3wuIKG6GW/vwTPomq\nj4+ig7C8RyRuXs0QNh2dPXsWNzPSsaxrU3wUFYBPmvlj6c8/CbmLF8zD3FaBGNekPtb1aIbNW7cj\nNzcXaWlp6NChA+5mZ2Npl6Y49UYnDGnghTVr1tzP/WEBlsQGY2xjDr91bCSsgjl16hTatGkDq7JS\n/PlKJI4PaoMoVxW2bt0KwPSD/Jely7C+fTDGhdbGj9H1sHjh/c+zcsUKvKVzw6TGdbEwpgGkpUVI\nSkp6dp3PMMwz91IP8EqlEpdzCkBEKCotw7WcfCjLS+ja2dlBJBIhI8d0l6dLd/OgVKmFXIVKhUvZ\nhQCAO0V6ZBcWQaFQAADkcjmyi4pxp8i0e/VSTiGUascHck3vm5FbCALhm2++QWhoKPz9/eGlUaGl\njzOICJfzis2KjSkUClzOzje9b3Y+5BKJsFmpSZMmCHB3QoSrI0oNRqTlFQmfRyQSQS6V4FL557mc\nUyjETG1S4lJBCYgI+SVluJFfZBZnGOYFVNlT/af1qE5TNHl5eRQRGkIB3u7k66ylwf36mi1nXDB/\nHmmVcmpa15fcnZ3MpkoyMzOprq8PNfLzIjdHFX368USz9/5k4gRyUyupUS0vquvrQ9euXRNip0+f\nJncnLTWt400KiQM5OzsLd1YyGo00qO/r5OvkSAGerhQREizcDISIaM+ePaRVKqipnxfJHOxJo9EI\npXz1ej3Ftogmf1cnquuipa7t21FZWZmQu3rVKtIoZNTMz5Oc1So6ePCgEMvOzqbg+vUo2NOFvBxV\nNHL4cLO+YBjGstgyySooKSnB4cOH4eDggODg4IeKhl26dAnp6ekICgp6qGxvQUEBjh49Cq1Wi3r1\n6j303mfOnMGtW7eEMgIVnTx5Eu+88w5SU1Mxb948s9UxRIS///4bRUVFaNSokdkFWADYs2cPxo0b\nh5KSEvzwww9mq2MMBgMOHz4MKysrhIWFmV2ABYD09HRht66Tk5NZTK/X49ChQ5DL5QgMDKz0TbsZ\nhnn2qrJM8qU+g7eE4uJimjp1Kmk0Gvriiy+oqKio0rm5ubn0/vvvk1arpe+++87s7JxhmJqNXWSt\nAiLC1atXcevWrUfG8/PzkZqairKysodiRqMRV65cQXb2g2UhTLKzs3HlyhUYjUYAps1KAQEBSEpK\nwoEDBzBw4MBHvi8A3Lp1C1evXhX+oVatWoV69erh9u3bOHbsGDp27IjS0tJH5mZlZeH69euPjBUV\nFeHy5csoKSl5KEZESE9Px507dx6ZyzDMC6ayPwme1qM6ncGXlJRQ986dSKtSkkImpUkTJ5jF4+Li\nSKWQk6ezlurVrWPW5uzsbGoW3phcNWqSSyU0f948s9z58+aRXCohV42awoICqUuXLuTn50ebNm2i\n9PR0qle3Dnk6aUilkFNcXJxZ7qSJE0ghlZBWqaBWMc2pRYsWwo2uT5w4QV5uruTlrCEXrcbsNoIG\ng4EGD+hParmMVDIpjXxjhNk8+l9//UVatYq8nDTk6+lBZ8+eFWJFRUXUvnUrclIqSC5xoK+m/Oep\n9DHDME9HVc7gX+oBfsGCBdQquB4V/jqNsn76grxdnejQoUNEZFrLrpTL6MB/3qGyX6fRxB5tqF/v\n14TcCR+NpwExjahk6RQ6N/sDUivkwoXUzMxMUivkdObrMfRlz1ZkZy2mqMhIYTqm72uv0sQu0VT2\n82Q68MlwUsplwhr6Q4cOkbezli5OfZvGtG5MNmIx9enTR5iOiYpoTAv6tqOy78fT7yO6E+dXS2jT\n77//TmF+XpQ7azTdnfEuNfB2py1btghxLzdX2vxmdyqbM4Zm94ih2BYxQmzWrFnUKbAuFU8fRRmT\nh5Kro4pOnTr1bDqeYZgnxqZontDVq1cR4ecBW2traBUy+Hu6CjfByM/Ph8FgQFgtDwBAlM4bmVcz\nhNxrGemIrOMFKysr+Dk7wkWlwI0bNwAAN27cgKtaARuxFc5fv4NPurVAnVo+wm3zMjMyEFXHCwAQ\n5uMOg8GA/Px8oU0qiR2iZyxDdqEeb8WEQqfTCXdgysy8hqjapovTUXU8ca38mKZYJkI9nSCxtYHc\n3hZBHk7C5yEiXLtxE1F+7gCAyFpuuHYt837u1Qw08dDAWmwFV4UUdZwdhVyGYV5ML3Wpgs6dO6PL\n99/Bz9kRN/MKcDItC03Ky+sqlUqEhYTgzUXr0a5hHUz9Yy+GjX5PyO3a81WMe/tNSO1scDz9BsjG\nDhzHAQD8/f1htLbDgvgjiG1YB5PWx2POvIVCbvder2HCN7ORV6TH1tOXERYSDJVKhVOnTmHmzJk4\nnZGFYZHBaOTjio//SMCm//tOyO3WowdGrd2MUc0aYulhHt26dBZisbGx+PKzTxHkqkaZkbD9bCqm\ntmwJwLQOvlunjhiyejd6B9bCnMRT6Prq6/c/T7fu6P3LYngoZUjPKUBqdgHCwsKeTcczDPNcvNRn\n8OHh4fh1zW/Yfl2Ps6TAX3v2CksHRSIRNvy5GYoGjbHq4h2M/GACRo+5X8a+Z8+emP7Nd4hLL0CO\ncy38tXcf7OzsAJg2Sf21dx9yXGoj7moRpn/zHXr27Cnkjh4zFiM/nIhVaQVQBjXF8lVrhM1Kffr0\nwd9/H0eRe11szxVj5W9rER4eLuROnzUb7foNwYqrxQju2AM/LPpFiHEch01btyHBoEAS1Ni28y/4\n+voK8aUrV6FO605YkWVAj+Fv44v/TBFi0dHRWLT8V/xZYIfLjrUQn5D40LJQhmFeLC/9OnhLImKl\nfBmGqRxWLvgFwkr5MgzzrL3UUzQAsGvXLrz2Sk8M7N9PKBZ2T3Z2NsaOGY0eXbpg/rx5ePC3ndWr\nV6Nnty4YMWwYMjMzzWKZmZkYMWwYenbtgtWrVwtfz8vLw/vvv48mTZrg9s0baB4Vifr165vlnj17\nFgP79cVrPXtg165dZrGysjJ8NXUqunfuiE8mfYzi4mKzeFJSEl7v9Sr6vtYLR48eNYsVFhZiwvjx\n6N6pI2ZMny7c6PueLVu24NVuXTFkQH9cvHixEr3HMEx19lIP8MnJyejbpzdi63ujvsoOLWNicPPm\nTQCm6ZPuXToj9/JZvN6kPubPnYX//ve/Qu66deswftxYvBJSByr9XbRqEQO93lRcTK/Xo1WLGKj1\nt/FKcC2MHzcGa9euFTYrJSQkwEvriEk9WyPv4il0r3Ch9ObNm2gZE416EgNi/TR4/bVeSE5OFuLj\nP/wA29euRL9gXxyP34Y3hg0VYjzPo3OH9ohytkOEoxjt2rZBamqqEB/Y73VcOLAb/Rp6IG7pz5j8\n6adCbO/evRg6sD86+yhRy5iDFs2jHruBi2GYF8NLPUWzadMmDO/SBkO7xgIAdv99CgcPHkSXLl2Q\nk5ODI8eOYee25bCysoJc4oAZa3/HmPILrRvj1uHjAd3Rp21z9GnbHJsOvAee5xEYGIizZ8/CylCG\n/3vDtEqFT8vEO6NGwdXNDWvWrMGkjz7E5Lf6oF3jQPRo3giO3d9CdnY2VCoVDhw4gCA/b4zvX6aZ\nbAAAE2xJREFUbapNc/HaDfz555/ChdYNceuwcdIb8PdyQ3SADroR9wfp7du3o0fTYLzVMQYAkHwh\nA7t378aQIUNARNiw6U/cWTETEjtb+DhrMPzndZjy1Vemz7NhA0bFNsOAlqbj7Ei5iCNHjtyb82MY\n5gX0Up/Be3h4IOn0eZSUluJWdg7OXk6Dm5sbAEAmk0EsFuPIWdNURcKJM3D38BBy3Tw8kZhyDkaj\nEZeuZuH67bvCBVJnZ2dk3b6DExev4MPvl2H6rxsREBiIw4cPo1mzZnD38ERCyjkAwJFzlyEWiyGT\nyQAA7u7uOHMlA7dz81FSWobkc1fg7u4uHNfdzR0JKedNbUo5D7cKd6Byd3fH0YvpKCwuQV5hMY5f\nThc+j0gkgpuzMxJOmz5P4tmLcHOr8L4eHjh4IR1lBgOy7ubiwtXrQi7DMC+oyu6IelqP6rSTtaSk\nhLp37UJaRzXJZVL6ZNIks3hcXByplArycHGmepzu4VIFEeHk6qQhuUxqVqrAaDTS0KFDSSQSkYOd\nHTUKDaHs7Gwhnp6eTvV0dcnDxYlUCgWtX7/e7LifTPqY5FIpadUq6t6lM5WUlAixEydOkJe7O3m5\nOpOLk5b2798vxAwGAw0eOIDUCjmpFHIa+eabZqUKdu/eTVpHNXm5OJOvl+fDpQratiYntYrkUgl9\nNXXKv+hZhmGeNlYuuAqICJmZmbC3t3/kPUjz8/Nx69YteHp6wtrafEbLaDQiIyMDSqVSuDlGxdUx\n06ZNg7+/Pzw9PR8q21tWVoaMjAxotVrh7L2i27dvo7i4GO7u7g+V7S0pKcHVq1fh5uYm7I6tKCsr\nCyKRyOz+svcUFRUhKysLnp6esLGxeagvMjIyIJVK4ejo+FAuwzCWw5ZJVoFIJIJHhamXB8lkskcO\nwABgZWUFb29vAKbVMV988QWWLFmCzz//XLjR9eNYW1ubbUJ60D/d8NrW1ha1atV6bNzV1fWxMQcH\nh8fmikQieHl5PTaXYZgXy0s9Bw+Yzob379+PY8eOPbQMEjDd8GPPnj2PXFFSUFCAPXv2YObMmUIp\n31OnTmHUqFEQi8U4ffo09u7di4KCgody7969iz179uDSpUsPxYgIx44dw/79+x9Z1vf69euIj4/H\n1atXH4oZDAYkJSUhOTlZKFNcUXp6OuLj44XVQhXp9XokJCTg+PHjj+wLhmFeMJWdy3laj+o0B5+X\nl0cR4Y0poL4/+Xp70aCBA8xv2bdgAWk1jtSscRi5u7k9dMs+by8vksukZG1tTYMGDTJ7708+mURu\nLs7UODiQ6tap/fAt+9xcqVmjENJqHGnhwgVCzGg00qABA8jXy5MC/HUU0bgx5eXlCfE9e/aQVuNI\nUY1CSeOopo0bNwoxvV5PsW1ak3/tWlS3lg917dzJ/JZ9q1eTRq2myLAgctJqHr5lX2AABdfTkZeb\nK4186012yz6GqUZYueAnNGfOHOrZsR0ZMs5QwYW/iatTm/bt20dEpjsvSaVSupCwjYzpp2n25AnU\ns3t3IjLdWSk0NIQc7O3o2y8/pqwj8aRxVNOVK1eIiCg1NZU0jmq6eTSejJf/prHDBtDYsWOE4/bo\n1pVmf/weGc8fpvM715NE4kB6vZ6IiPbu3Utc7VpUcHwPGc4epJ7tWtHcuXOF3LCQYPr9m6lkOJVA\n8Uu/Jx8vLyG2bNkyahERRiV//0XFR3dRRFBDs1rzWo0jHVo5nwx/76SlUydSdGQzITZlyhTq16kN\nlR3aQjl748jHw42OHDny9DudYZgqYeWCn1BOTg5qeXtAJBLBwcEe7q7OyMnJAWCariAywsPVdKHS\nz9sT2dl3hc1Kubl5+OTdNzFq0OvQOqqhUiiQm5sLwDQfr1Io4KgyXXj18/JATnaOcNzc3Fz4eZvm\n/T1dTUsr7+1Izc3NhbuzExzs7SESiVDL091seig3Nxd+nqbljbW9PJBTfsx7MW83F4jFYtjYWMPL\nzUX4PESEvPx8+HmYlj76eboJMVNuDvzcXSASiSCTOMBF42gWZxjmxfNSX2R97bXXEN28OaQSB9y4\nfQfp126gefPmAACFQoGOHTqg+/B30SaqCWb98AsctU6YNm0a1qxZg9LSUvR69RWIrEQ4ceY8nFxc\n4O/vD8BULtjJxQX9xn6MQP+6mLNoBX77fa1w3CHDhmP0R+NxPjUdO/cno2P7DlAoFACA5s2bY+yN\nW3j7i+lwdlRjyfrN2JeQWCF3GAZ+PBWDu7bHbzv2YMiQIUKsa9eu+M+XX2DinIUoMxhw4MRpfL+k\nAwDTBdTBgwah27jJ6N6iKX6M24qRo8cKuX379kObVq1gLbZC2vVbyC8pQ0RExLPrfIZhnrmX+gy+\nXr162B0fj3zYQePph4TERGGgBYAVv65ETGwH/PrnThQW6/H2228Lm5ViYmIQt34DrhcTGjRuiu07\ndgrLKK2trbF9x040aNwM1/VA3PoNiImJEd63X79+mP/Dj0grMKBd91exYuVKIaZQKJCQuB+aWv7I\nt5Vjd/we4QcHAEyYMBETP/sCqUWE4aNGY+asWULM09MTCYn7QRp32Lj6Yv+Bg2bVKb+fNx99h72J\nKyXW+M/X04VduQAQFBSE7Tt3ItteA4+AxtibkAiJRPJ0O5xhmOeqSuvgOY4TAZgHIAhAMYDhPM8/\nvBzk0bm+qEbr4B+HWClfhmGqkee5Dr47ADue55txHBcBYHb512oEVsqXYZiaoKpTNFEAtgIAz/NJ\nABo9tRY9Z0uXLEFEeDhioqOxbds24c5Kr7zyCuLi4jBzxgyEhoRg4oQJKCsrE/KICDNnzEBYaCja\nxcYiJSXF7H1TUlLQLjYWYaGhmDljhtm68rKyMkycMAGhISHo2aMH0tPTzXL37duHmOhoRIQ3xtIl\nS8xiBQUFeOvNNxESHISBA/rjzp07ZvH169ejWdMmiGzWFFu2bDGL3bx5E31f74OQ4CC88847KCoq\nMosvXLgQjcPC0KplC7MKlgzDvKAqu9yGzJc6/qjT6dpVeJ6q0+msKplbbZZJ7tixg7w8PWnHH+vp\n3bfeICsrK+rVqxddv36djEYjBQQ0pMkTx1Pynp3UIjqKJn/2mZD7808/UWDDBpS440/6ftY08vDw\noPz8fCIiys/PJw8Pd/p+5teUuG0TBTSoTz//9JOQ+9mnn1LL5lGUvHMLTR7/PgU0bCisOU9LSyOt\nVkMrf5xHO9etIi9PD9qxY4eQO3jQIOrdvSsd2vEHvTmoP3Xq2FGIHT58mFycnWnTikW0fskP5KTV\nUkpKihBv2SKGRo8YTMlb46hb+7Y0cuRIIbZhwwby8/Wh3WuX05L/TicnrZaysrKefqczDFMlVVkm\nWdUpmlwA8grPrXief3jbZDW3d88eDBnQFymnT2Pf/gOIaNwI/fv3h7OzM+7cuYPU1CuY/PFHEIlE\nmPThe5g68xshd8+ePRgzcgSaRYSjWUQ45v38Cy5cuICgoCCcP38eaqUKbw83rXAZ8+ZwU731YcOE\n3E/GvYvGocFoFBKE2fN/QHZ2NtRqNY4ePYqIsFD06dkNADC4Ty/s27sXbdq0EXK3rVqCurVrobav\nD3xCI4U2JSYmokfHWHRsY7rR9ro/tyEpKQkNGjQAEWHvvgRsXjIfdnZ2mPzBaAwc85HZ5xnRtxdi\nmprKBS9eHYeTJ08+sp4NwzAvhqpO0SQC6AgAHMc1AXDyUS/iOK4Fx3GfV3wAGPuo11oC5++Pzdt2\nol/v17BqySJcSk1F7dq1AQBKpRJSqRR/bN6K0tJSrF67Hjqd7n4ux2Hdxs0oKipC0qEjuJZ1Xbho\n7OXlhcysLCQdPoKioiLE/bnlodzV6zeitLQUf2zdDqlUIqzeqVOnDg4fO47zFy/hbnY2tuyKh47j\nzHJXxm2AwWDAynUboatb1yz2V8IBZN24iYzMa9h7MFk4rkgkgq5uXayM+wMGgwGr1m8ya5O/vz82\n7YxHbl4+TvHnkXL2HPz8/J5BrzMM8y+NfXBc5TiuxSNfWdlTfTKfZhHpdLr5Op0usfyhe4LcajNF\nYzQaaczo0WRra0symYwWLlhgFt+/fz95e3uTWCymtm3a0J07d4RYcXEx9endm6ytrUmr1dKGB0r+\nbli/nrRaLVlbW1Of3r2puLhYiN25c4fatmlDYrGYvL29zEr+EhEtXLCAZDIZ2dra0pjRo81KBly5\ncoUaN2pEVlZW1KB+fTpz5oxZ7uTJk8ne3p4kEgl9/fXXZrHjx4+Trm5dsrKyoqZNmlBmZqYQKysr\nozfeGEG2trakVCpoyZIlT9ibDMM8S6xccBUZDAZYWVk9VJa3YvxxlSH/KZeIYDQa/zH3cbF/k3uv\nyNiDJYork/u/+oJhGMtg5YKr6J/K+v6v+D/FRCKRRXIfN7BXJvd/9QXDMC+Ol3onK8MwTE3GBniG\nYZgaig3wDMMwNRQb4BmGYWooNsAzDMPUUGyAZxiGqaHYAM8wDFNDsQGeYRimhmIDPMMwTA3FBniG\nYZgaig3wDMMwNRQb4BmGYWooNsAzDMPUUGyAZxiGqaHYAM8wDFNDsQGeYRimhmIDPMMwTA3FBniG\nYZgaig3wDMMwNRQb4BmGYWooNsAzDMPUUGyAZxiGqaHYAM8wDFNDsQGeYRimhmIDPMMwTA3FBniG\nYZgaig3wDMMwNRQb4BmGYWooNsAzDMPUUNZVTeQ4LgPAufKnB3ien/R0msQwDMM8DVUa4DmOqw3g\nCM/z3Z5yexiGYZinpKpn8GEAPDmO+wtAIYD3eJ4/9z9yGIZhmOfofw7wHMcNBTAOAAEQlf85CsBX\nPM+v5TguEsByAOGVPKYYALKysqrUYIZhmJdRhTFTXNkcERE98YE4jnMAUMbzfGn583Se570e8boW\nAFo88GVvAEOe+KAMwzAMACwGkPbA1+J5no9/8IVVnaKZDOA2gBkcxwUBSH/Ui8oPaHZQjuPsyv86\nFYChisd/FsYCmGvpRjyAtanyqmO7WJsqh7WpcsQAJgEYyfO8vjIJVR3gvwawnOO4TgBKAQyubCLP\n83qO49J4nr9YxWM/ExzHZfM8n2rpdlTE2lR51bFdrE2Vw9pUeeVjZ6UGd6CKAzzP89kAOlcll2EY\nhnk+2EYnhmGYGooN8AzDMDWUpQb4eAsd95/EW7oBjxBv6QY8QrylG/AY8ZZuwCPEW7oBjxBv6QY8\nQrylG/AI8ZZuwGPEP8mLq7RMkmEYhqn+2BQNwzBMDcUGeIZhmBqqytUk/43qUomS4zgRgHkAggAU\nAxjO8/wlS7TlQRzHHQGQU/70Ms/zwyzYlggAX/M837K80NwvAIwAUnieH1UN2hQMYBPuf0/N53n+\nt+fYFmsAiwD4ArCFaRPfaVi4nx7TrnRYtq+sAPwIgIOpb94CoIcF++oxbbKFBfupQtucARwG0Aam\njaG/4An66bmfwVeoRNmq/GHJMsPdAdjxPN8MwEQAsy3YFsG93b4V+siSg/uHMH3z39uBPBvAxzzP\nxwCw4jjuuVcUfUSbwgDMqtBfz/s/Yn8At3iejwbQHsB3qAb99EC7OpS3KxSW7asuAIjn+SgAnwL4\nCpbvq0e1ydLfU/d+QC+AqaAjUIV+ssQUjVCJkuO4TRzH6SzQhnuiAGwFAJ7nkwA0smBbKgoCIOU4\nbhvHcTvLz1Yt5QKAHhWeh/E8v6/871tgOrN43h5qE4BOHMft4TjuJ47jpM+5PWtgGhgA03byMgCh\n1aCfKrbLCqZd52EAOluqr3ie3wDgjfKnPgDuwsJ99UCbfMvbZNF+KjcTwHwAmTAVenzifnqmAzzH\ncUM5jjvJcdyJe38CuAZTJcpWAP4PpkqUlqLA/WkQACgr/3XN0goBzOB5vh2AkQBWWKpdPM/HwTRg\n3SOq8Pc8AMrn26JHtikJwIflZzaXAHz+nNtTyPN8AcdxcgC/wVQvpDr004Pt+gRAMoAPLNVX5e0y\nchz3C4D/AvgV1aOv7rXpGwArYPqeslg/cRw3GMANnud34H7/VBwDKtVPz3TQ4Hl+Ec/zATzPB977\nE6b5pI3l8UQAbs+yDf9DLgB5hedWPM8bLdWYCs7B9E0GnufPw1TYzZL9VFHF/pEDyLZUQypYz/P8\nsfK/xwEIft4N4DjOC8BfAJbwPL8K1aSfHtEui/cVAPA8PxiADsBPABwqhCzWVw+0abuF+2kIgLYc\nx+2G6Tf6pQCcKsQr1U+WOCucDFOlNvxTJcrnJBFAx/K2NAFw0oJtqWgogFkAwHGcO0z/mNcs2qL7\njnIcF13+9w4A9v3Ti5+TbRzH3Zteaw3gyPM8OMdxLgC2ARjP8/yS8i8fs3Q/PaZdlu6r/hzHTSh/\nWgzThcPDHMfFlH/tuffVI9pkBLCO47jG5V977v3E83wMz/MteZ5vCeBvAAMAbHnS7ylLrKKpciXK\nZyAOpp+SieXPq0ud+p8BLOY4bh9M32xDq8lvFgDwAYAfOY6zAXAGwO8Wbg9gmsb6luO4EgBZuD+f\n+rxMBKAC8CnHcZ/BdFOcMeVtsmQ/Papd4wDMtWBfrYPpe3sPTOPPaABnAfxkwb56sE1jYDrx/M6C\n/fQoT/x/j+1kZRiGqaGqwwVFhmEY5hlgAzzDMEwNxQZ4hmGYGooN8AzDMDUUG+AZhmFqKDbAMwzD\n1FBsgGcYhqmh2ADPMAxTQ/0/uYHdifr7ry8AAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x8cc9278>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"x0, y0 = (25, 15)\n",
"a = Affine.translation(x0, y0)\n",
"fig = plot_transformation(basic, a, connector=33)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Off to good start\n",
"\n",
"### Scaling/flipping\n",
"We know that increasing row indexes need to be headed south, so let's start with `Affine.scale`\n",
"\n",
"To combine two types of the transformations, `affine` let's you use the `*` infix operator. \n",
"Pretty neat:"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
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F+FOz4CC9efhEpdsy9+3ejYLqKil25Pt6c/iJiL5fvJga1a9HrZuE0bFjx/Ri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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x8d57710>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"a = Affine.scale(1, -1) * Affine.translation(x0, y0)\n",
"fig = plot_transformation(basic, a, connector=33)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Whoops.\n",
"Turns out that order matter when \"multiplying\" different aspects of a transformation.\n",
"\n",
"Let's swap those around:"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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wBFROsi5evBjp6emIj49HmzZtRMc9dOgQVq5cCWdnZ4waNUqUvVJaWopFixYh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\naHIAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x8dd49e8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"a = Affine.translation(x0, y0) * Affine.scale(1, -1)\n",
"fig = plot_transformation(basic, a, connector=33)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"There we go. There[0, 0] is now in the upper left corner and the right spot.\n",
"\n",
"Let's keep going with scale to expand the x-dimensions by a factor 2 and y- by a factor of 4"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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FeVKpFOeCT0NbSxOXL54X5GZlZeHRg3sIe/cW/JvXgtwPEeGIi43BueBTSElOFuTeu3ML\nyspK2L9np+C1/yePBcHK0gq7t20SXOfgoN9uODo6YO/20o9eymPvzi0YM3r0F51i+By2VJbx09Kz\nZ09EhL/HqZMnAACxsbFYuWIZ1q7fUObhYfj799i+dQtWrlyJs8Gn8fDBfZn39+jhA5w5fRIrV/6O\nXTu24n05dQY+J/jMKYS9e4uF3t5Yt3olkgUE1o5tW2BkZIhp06bht8ULkZubK7O7ZuVvaNu2HcaN\nG4vF3nNlLkRDRFiycD6GDx8Ol54uWPnbIpn3KRaLsXyJN6ZOmQKO4/DXxlKnY0olIz0d61evgLf3\nAmRlZeJ4kOxXe8ZER2HHFl+sWLECd27fwL3bN2V2X798gRNHAzFmjPCrHspF1hUJ37KxlVwMeblz\n5w4ZGhrSqeDzNHDQEJo+c3aZq7jehL4nu+rVacMGHyIiOnbsGJmamtKte48qXMV1+/5jMjU1paNH\njxIRkY+PD9nZVacXb8IqXMl18swFMvq0somIaMaMGdSocRN6Hxlf4Uqu7bv8yMTEhEJDQ0kikdDA\nQYOoY+cuFJ2UUe4qrpTsAlr82+9ka2tLCQkJlJeXR61atyb3YSMpIT2v3FVcSZliGucxkRo3aULZ\n2dmUmppKNe3taeZcb0rIEJe7iisqKYt69upL3bv3oMLCQoqIiCAzc3Na67OlwlVcIR8SqFmLluTh\n4UFSqZQeP35MhkZGtPfw0QpXcT16/Z5q1HSgFStWEBHR2bNnycjImE5euFHhKq7Lt5+QuYUl7du3\nr9zPGlsqy/hPcvXqVdLV1SVNTU26ffdhiWCNjE2kpct/JxMTE1q//o9i7uHDh8nIyIhmzp5Lb96G\nlwhW/l0EzZozj4yMjOjgwYPF3D/++INMTExo0dLlFBYZXyJYHz57TR5eE8nY2JguX75c5EkkEpo1\naxZVrWpNq9dtoKj41BLBevXmPRriNpQsLS3p2bNnRW5+fj65ubuTvYMjbdq6k2JTskoE68mzF6lb\n957k4OBAERERRW56ejo5O3egJk2b0Z4DASWCNjEjnw4EHKWWrVpTy1atKDk5uciNjY2levXrk3PH\nzhRwPJji0/OLBWt0cjZt2bGX6tStR71796GcnJwil+d5sqlWjfr0H0inLlynuPT8YsEaFpNCq/7Y\nSLZ21cnLy4sKCwuL3Nu3b1MVExMaOnIsXb79qESwvnofRwuXrSQzM3Navnx5Ud0FIqITJ06QoZER\neU6aTrefvCkRrA9fvadpsxeQoZER7dq1q8LP2b+2VPZrw5bKMr6EgoICODo6wsHBEbdu3UR1EQeR\niIOSkhJiY2Nw7eoVuLj0gpeXJxo0KHkdakhICHx9feHn54f6DRuhatWqUFBQQEREBB7ev4fBgwfD\ny8sLHFdygcDjx4+xYcMGHDlyBL+0bA0TU1NIJBK8DQ1BCP8GI0aMgIeHR6mf66tXr8LHxxcXL16A\nU9t2MDI0Rr44Hy+eP0NSYgLGjh2L0aNHw9DQsJhHRDh58iR8fTfi4aOHaNvOGTq6esjJycbD+/eg\noAB4jB+PYcOGQVNTs5hbWFiIw4cPY+PGTQgPD0erNm2hqamFrKxM3Lx2FVWqVIGnpwcGDRpU4uqM\nnJwc7N27F76+G5Gbl4fGTZtBXV0D6elpuHr5IhwdHOHp6QEXF5cS1wmnpaVh27Zt2LR5MzQ1tVCr\nTj2oqKoiNSUZVy5dQKuWreDp6YH27duXOL0TFxeHzZs346+tW2FV1RrVuZpQVFRCYkIcbl67gm7d\nusPLyxNNmjQp8RqHhYXB19cXu/fsgWOturCytoaCggJioqLw8P4dDBgwAF5eXnBwcCjhfo48S2VZ\nwDJ+etatW4czZ87g7NmzKCgowNmzZxEdHY3CwkIYGBigY8eOslx6g+zsbAQHByM+/uMlTVWqVEHH\njh1LhFRppKSk4Ny5c0hKSoKioiLMzc3RoUMHma6ZjYmJwaVLl5CamgoVFRXY2Nigbdu2qFy5coXu\n27dvcfPmTaSnp0NdXR01atRAixYtZLpE6dmzZ3j48CEyMjKgpaWFunXron79+hV6RIS7d+/i5cuX\nyM7Ohra2Npo1a1bqF9DnSKVSXLlyBe/evUNubi50dXXh5OQEKyurCt2CggKcP38ekZGREIvFMDAw\ngLOzM4yMjCp0c3NzERwcjLi4OEilUhgbG6Njx47Q1tau0P0bFrCM/xyxsbGoVasWbt68KdMfOIMh\nL/9msRcG44dgxowZGD16NAtXxg+J3EtlGYzvzdWrV3Ht2jW8fi3s+k4G49+CjWAZPyUFBQXw9PTE\n2rVlr9hiML43LGAZPyU+Pj4wMzNDnz6yF5BmMP5t2CkCxk9HbGwsli1bhps3b8pV0IPB+LdgI1jG\nTweb2GL8LLARLOOngk1sMX4m2AiW8dPAJrYYPxssYBk/DWxii/GzwU4RMH4K2MQW42eEjWAZPwVs\nYovxM8JGsIwfHqETW2/fvkVUVBQKCwthaGiIWrVqyVQ4hYjw+vVrxMXFAfhY7MXe3l6mEbNUKsWz\nZ8+QnJxcdLdbOzs7mforFovx7NmzomIv1tbWMhU/AT5WuHr+/HlRsRc7OzuYmJjI5Kanp+PVq1fI\nzMyEpqYmatSoIVNRHABITExESEhIUbEXR0dHmYriAEB0dDTCwsKQl5cHXV1d1K5dW+YbSYaFhSEy\nMhIFBQXQ19dHnTp1ZH5veZ5HbGxsUbEXR0fHb340xAKW8UMj68RWXl4eAgIC4Ou7Ee/Dw2FTzRaV\nFRURHxuDwoICjBs3FiNHjixR+g8AMjMz4efnh40bNyE9IwMWVh/LFUZ9iICWpiY8PMbDzc0NWlpa\nJdykpCTs2LEDmzZtRmVFRZiYmkEikSL8/TtYWVlhgpcn+vbtC1XVkneTjYqKwpYtW7B16zboGxjC\nwMgI4nwx3oXyqFuvLrw8PdGtWzcoKpb8Mw0JCYHvxo3w8/ODuYUVdHR1kZuTi3dveTg5OcHL0xNt\n27YtNUAePXoE340bERgYCJtqdtDU0kZ2VibC3oWiR48e8PL0RKNGjUq4RITr16/Dx9cX586eg62I\ng5qaOjIz0vEh4j0GDxoEDw+PUkv/SSQSBAcHw8fXF3fv3oOtnaioXGFifBxGjBiOcePGwdrauoQr\nFosRFBQEH19fhISEwrqaHSorVkZSQgLycnMwbuwYjBo1ClWqVCnhZmdnY//+/fDduBGJiUmwqGoD\nBSggNiYSqioq8PQYj6FDh0JHjtt8y4SshWO/ZWMFtxllsXbtWnJ2di5WSPlzQkNDyc6uOrVu0562\n+fnT+4RsikzJL2onLtykAUOGkr6BAZ06daqYe+/ePTI1M6MuPXrR/iNnKDwplyKS8ygiOY/Ck3Lp\nwNFg6tqzN5mYmtLdu3eLuadPnyYDQ0PqN8iNjp67Tu8Tc4va27gs+muvP7Vu055sbe0oJCSkmLtj\nxw7S09cn95HjKPj6I3qXkFvUXkWm0dqNO6h+wybUsGEjiouLK/KkUiktXbqUDA2NaNyk6XT5/msK\njc8pao/fxdPiVX9SjZoO1LFTJ8rIyChyCwoKyMPDg0zNzWnq3F/p1vP3xMdlF7U7rz7QTO9lZGlV\nldyHDqP8/PwiNzs7m1x69SJbOxHNX7qG7r2Jodcx2UXt8oMQ8pgyh4yMq9CcOXOKvV9JSUnU4peW\nVKtOPVq2djM9eptIr6Kzitrpa49p6Bgv0tc3IB8fn2KvU3h4ONWoaU9NmreitVv86NH7FHoelVnU\nDgffoH5DhpGenj4FBgYWc588eUIWFpbUrmM32uR3lB6Hp9PTD5n09EMmPYnIoJ3+wdSlZ18yNq5C\n169fL/Pz9TfsjgaM/yliYmLIwMCA3rx5U+Y2YWFhZGpmRsvX+hQL1dLa0eCrZGxchU6cOEFERPfv\n3ycDQ0Paute/KFTLatv3BZKBoSHdu3ePiIhOnTpFRkbGFHDqUrFgLa39ttaXTExM6d27d0REtHnz\nZrK0qkrnbj4pFqyft7fxOTRx+jyqXl1ESUlJREQ0b948snesTTeevi0WrJ+3V1Hp1N91GDVt1pxy\ncnJIKpWSq5s7tWjVhh6ExBQL1s/b43cJ1LZDZ3Lp1YsKCwspPz+f2rRtR917D6Cn71OKBevn7ebz\ncKrboBFNnDSJiIjS0tLIwbEWDR87kV5EZhQL1s/b2VvPyaaaHa1Zs4aIPgaahaUVzfp1RbFQLa0d\nOnOdjE1M6NChQ0RE9OzZMzI0NKKVvruLQrWstsnvKOkbGFYYsuyOBoz/KVxdXWFpaYnly5eX+jgR\noW7deug7eCiGj/GU6TkfP7iH4YN74fatW3Bq0wa/Ll+Hjl17yOSeP3MSC2ZOxNUrV9CseXNs3RuA\neg1LVtEvjT3bN8Pfbwd27dqJzl264uDxi7CuZiuT+/viuYgM4+Exfjy8JkzEoVNXYGBYcZFpqVSK\n6Z4jYG6sDwcHB2zbuRu7A85ATV29Qlecn49Rg3rCpXsXJKek4PGzV/hj2wGZzndmpKfB1aU9Fi1c\ngCNHj0JJTQfzlq2V6XxnTHQkXHu2x+FDBzB9xgy0aNsFIzynVugBwJuXzzB2cE/cuH4NnTp3gcd0\nb3Tu2U8m99a1i1g4dSx4/g10dXVL3YYV3Gb8z3D16lW4ubnh9evXZZ57vXjxIiZOnoLgq/cFTVZ4\nz56CxJgPyCuQYvv+IEH9Gu3aF6pKlaBrZIpFK9bL7BERurdtCgtzM9Rt0hJjvGQLDQDIz89H6wYc\nqlWzwaDhHujq0ldmNzkpER2a14a+vj5+99mBug0ay+zyr19gzCAX5OfnI/DcbZiay/63eeVCMDau\n+hVRUdE4f+811NVlXxhyYNdfuHb+OCIiInHs6qMSt58pj/XLvRH7nkdKRja27D8pswcAcyYMR4c2\nv2DSpEmlPs4KbjP+J5B1YsvXdyPcRowVPBPsOmw0rl2/AdcRYwX3baD7SFy8eAlDhgm7vbOCggJc\n+g/GtevX0HeQuyBXRUUF7Tp1Q0hICJy7yDba/hsDQyM41K4HZRU11KnfSJDL1XSEqro66jZsIihc\nAaBlG2dERUWja+8BgsIVALr3GYhHjx6hr9tIQeEKAH2HjMCNm7fQz3W0IA8A+rmOgu/GTfiag04W\nsIwfDllWbOXn5+PMmdPo1XeQ4OdXVVODggLQuq2zYFdNTQ0mZuYQ1bAX7Kqra6BR0xbQNyh5JUNF\nqKqqonvvgSVuRCgLKiqq6Dt4mFyXJKmqqaPPoGGCvcqVK6OykhJ69XcT7GpoaiE3Nxc9+w0W7Kqq\nqaOgQIzWzl0Eu/UaN4dYXIDnz58LdsuCXabF+KGQdcVWSkoKtLS0oSHjtZf/JDkxEcZVTAWPjgAg\nJTkJFpayXaP6OZmZGbC2ke3a2M8pEBfAxk4klysW58Nczj7n5eYKHr3+TU52llxudlYmKleuDF09\nA8FuSlIi9A2MoaSkJNhVUFCAiZkFEhMTBbtlwUawjB8KWVdsVapUSe5DOYXv5H7ss1QuF4D8fVb4\ngn+vgsIX7RdyuF/8GkP+Q3wCyfXFW2Z/vtozMRhfyN8rtubPn1/htnp6esjJyUZaWqrg/RgbV0Fc\nbDQKCgoEuwYGhgh/HybYAwBNTS2EhryRy1VSVsY7OV1lZWVEvH8nl6uqpobIiPdyuRoamvggh/v3\nOdukhHjBroGREVKSEpCflyfYlUqliP4QLvNKOFlgAcv4IRBailBZWRk9erog4MBewftKTk6CoqIS\nLgSfEuympqQgNSUZz548FOymp6bi6aP7iI+LEexmZWbg1DF/5OXmCnazszJx2G+HXKPCrIx0+Pvt\nEOwVFBQgNzcHgQd2CXbTU1OgpKSMoIO7BbupyUlQUVHF+dNHBbt3blyGgYE+atSoIdgtCxawjB8C\neUoRenl6YO+OLZBKhR12++38C87t28Fv5xah3cT+3VvRpXMn7N+1VZBHRAg4uAcdO3TAYb9dgtzc\nnBxcOnsK9es3wKljAYLcuNho8K9fQFVFGXdvXhPkPnv8EAoAQl6/EDwCvnT2JGrU4HDu5FFkZqQL\nco8c3oeWLX9B4L6dKCwsFOT6++2Ac/t2CPDbJsgDgIC92+Dp4fFV6xPIFbAcxylyHLeH47hrHMfd\n4TiuO8e4GAwDAAAgAElEQVRxthzHXec47irHcb5frYeM/3n+ntjasGGDoA938+bNUcXYGH+uLn0h\nQmlcu3wB54NPYs2aNYj+EIHD+2QfJQUe9MOH92FYvXo1Ll8IxrXLF2R2fdf+DkMDAyxbtgx+Ozbj\n1fOnMnlEhCXzp6Nd+/bwXjAff/y+GDFRkTK5hYWFWDDdC6NHj8bsWbOwdN40ZKSnyeRmZ2dh0exJ\nmDlzBiZM8MLCGZ4Q5+fL5CYmxGHN0nlYMH8+evfpjSVzJ8v8Jfgu9A12bl6PpUuWoEYNDhtWLpLJ\nA4CHd28i+FgAVq5ciZysDBzaI/uX4LmTR/DmxRMMGTJEZkcW5B3BugJI4nm+FYBOAHwArAUwl+f5\n1gAqcRzX8yv1kfE/jrylCBUUFBAUFIigw374c/XyCg+BL58PxsSxQxHg7w9LS0ucPn0Kq5Z549C+\nXRXuy3//HqxYPA+nT5+ChYUFAgMCMNVjOC6fDy7XIyJsXLcSgQf34MiRINjb28PX1wcjB7vg6aP7\n5bqFhYX4dfYUhL56hu3btqJt27aYMX0ahvbtjPCwt+W6uTk5mDzGFSqKCvht2TIMHToUnTt1wMgB\n3ZGUWP65zdSUZIwZ0guNG9aHh4cH5s2bBzMTI0wYOQDZWZnlutFRHzCif1eMGjkC3bt3h6+PD5Lj\nY7Bg2niIxeJy3Tcvn2PM4J5YtfJ3NGjQAIcOHsT1C2ew4fdFFb63d29exbSxbti3zw82NjY4feok\ndvqulilkzxwPwO/e03Dy5Imvf6cMWdfU/rOJRCJ1kUik8elnA5FI9E4kEkX+4/EeIpFog4DnY7UI\n/qNcuXKFLC0tKSsrS+7niImJoQYNGpJj7Tr0+7qNxEemFNUfCE/MoV0Hj1C7Dp2piokJ3bx5s5j7\n5s0bsrWzoybNfqENW/dQaGxGUf2B0NgM8tm2l5o2b0nVqtnS69evi7m3bt0iE1NTauvcibbvC6K3\ncVlF9QdehifR8rUbybF2XapfvwFFR0cXc48fP056+vrUrWdf2n/0HL2NzymqQfAoJIbmLf6dqtna\nUXtnZ0pLSyvmbtmyhXR0dan/kKF09PzNYjUIbj57R5NnLSBTM3Ma4upGeXl5RZ5UKqWFCxeSnp4+\nDRvjScE3nxSrQXDh7gsa5TmZ9A0Madr06SSRSIpcsVhMo8eMIeMqJuQxeTZdfhBSrAbBsYt3aZD7\nKNLR0aW1a9cW629WVhZ179GDrKpa07R5S+jm8/Ci+gMvozJp39EL1KP3ANLR1aWDBw8WcxMSEqhp\ns2bE1XSg+b+toztvYorqDzz9kE5b9h2ldp26kaGhEV26dKmY++7dO+Jq1KR6DZvQsvVb6V5IYlH9\ngQfvUmjNZj9q+ktrsrKqSk+fPq3wc/avF3sRiURaIpHokkgkGigSiaL+8fs2IpFoTxmOk0gk+vWz\ntp4F7H8PsVhMDg4O5O/v/8XPJZFIKDg4mLp170Fa2tpkV52jmvYOZGBgSPXrN6AdO3ZQdnZ2mf3w\n9/cnJ6c2pKOrSyKuBnE1apKOri61dmpD/v7+JBaLS3VzcnJo586dVL9BQ9LXNyCupj1VF3Gkpa1N\nXbt1ozNnzhQLqn+SlpZGf/zxB4m4GmRcxYRq2juSrV110tLWpoGDBtONGzfKrCIWFxdHS5cuJQsL\nSzK3sCR7h1pkbVONdHR1acyYMfTkyZMyX6v379/TrFmzyMjImKyqWlNNh1pkVdWa9A0MaOrUqRQa\nGlqm++LFC/L09CRdPT2ytqlGNR1qkbmFJZmamtHChQtLfJH8jVQqpbt375Kbuztp6+iQja0d1bB3\nJBNTM6pma0erV6+m5OTkMt0LFy6QS69epKWtTbZ2IuJqOpCBoRHVql2btmzZQpmZmaW6BQUFdPTo\nUWrXrj1pa+uQnagGVedqko6uHjVr3oL2799f7EuoPP4RsOtLyTAn+prFXjiOswQQBMCH5/ndHMd9\n4Hne6tNjPQC053l+oozPZQ1Wi+A/x7p163DmzBmcPXv2q04spKSkIC4uDoWFhTAwMIC5ubnMbkJC\nAhISEgAARkZGpdYYLYvo6GgkJydDUVERJiYmMhevJiJERkYWFdw2NTWVuT6pRCLBhw8figpum5ub\ny3yYKxaLERkZiYyMDGhpacHCwqLUurWlkZOTg+jo6KKC21ZWVqXWrS2NzMxMxMTEIDc3F7q6urCy\nspL52tPU1FTExcVBLBYXvbeyfnYSExORkJAAqVQKIyMjwZdj/WvFXjiOqwLgMgBPnucvf/rdMQBr\neJ6/xnHcJgCXeJ73l/H5rMEC9j9FbGwsatWqhZs3b7LbwDB+CuQJWHmXys4BoAtgAcdx3gAIwCQA\nGziOUwLwGoCw60kY/ynYPbYY/wXkClie5ycDmFzKQ05f1BvGfwKh99hiMH5W2EIDxr+K0BVbDMbP\nDAtYxr+KPCu2GIyfFVaukPGvIWspQgbjfwU2gmX8a7CJLcZ/DTaCZfwrsIktxn8RNoJlfHPYxBbj\nvwoLWMY3h01sMf6rsFMEjG8Km9hi/JdhI1jGN4VNbDH+y7ARLOOb8T0mttLS0nDkyBFERUWhoKAA\nRkZG6NatG2xsbCp04+PjceTIEcTFxQEATExM4OLiIlNRkPDwcJw4cQJJSUlQVFSEubk5evfuDV1d\n3Qrdly9f4ty5c0hJSYGqqipsbGzg4uICdXX1cj0iwr1793D9+nWkpaVBQ0MDNWrUQLdu3Sq8qyoR\n4dKlS3j48GFRsZe6devC2dm5wsIrhYWFOHPmDF6+fImsrCzo6OigWbNmaNGiRYVHKXl5eTh27Bje\nvXuH3Nxc6OnpoV27dqhTp065HvCxSExQUBAiIyOLir107doVdnYV36k3KSkJQUFBiI2NhVQqRZUq\nVdCzZ09BhYDkgY1gGd+Ef3ti6/Xr1xg1ejSsrW1wMOAYIuIzEJ8hxtXbD9GgYSN06doV586dK9W9\nd+8eBgwcCI6rgVPnryAqJQfRqbk4df4KatSoif4DBuDu3buluhcuXEDXrt1Qv0FDXL75ALFp+QiP\nz8DBoBOwtrbByFGj8OrVqxIeESEgIAAtW7VGm7btcPvRK8RnFuJtdAo2bdsFS0srTJ4yBRERESXc\nwsJCbN++HfXqN0Df/gPx4OU7xGdK8Co8DktXrIalVVV4e3uXevvpnJwcrF+/HtU5Dh4TJuFpSCTi\nM6V4/jYKU6bPgq2dHVauXImsrKwSbmpqKpYsWYKq1taY/+tSPA+LRUxGIR6+eg9X92FwrFUbmzZt\nKrWwdnR0NGbMnAkLSyus89mClxEJiEorwM3Hb9Cpc1c0bdYc+/fvL/XOB6GhoRg3fjwsLK2wY58/\nXkclIzw5FxdvP0LjJk3R3rkDTp0q/f5qjx49whBXN1SztcPhE2cREpeBt4lZOH7hOuwdHNGrdx/c\nuHGjVPdrIHe5wq8Jq6b1v8e3KkVYGsePH8fwESMxcOhY9B40DIbGxUsM5ubm4OzxQGz3WQU3tyFY\numRJUZ+2bNmCBd7ecB83Fd37DIKWTvERZ2Z6Gk4GHcTuTWux6NeFGD9+PICPAbnA2xu7d+/FcK8Z\n6Ni9D1TVio84kxLjcezgHhzavRnbt22Fi4sLgI8BOWbsWNy4dQfDPGbAybkrlJSVi7nRkeEI2r8D\nwUcP4UhQIFq0aAEAyM7ORr/+/RGbkAL38VPRpGW7EiPOdyGvELDnLzy6fRXBZ06jZs2aAD6W6+vS\npSvUtA0wePRE1G7QtNh7Q0R49fQhDmzfgMTocAQHn4GZmdnH53z3Dh07dYKoVkP0HToe1WvWKrZP\nqVSKR3euYf/W9dBQroxjR48UlVx8+PAhunbrjl86dIfL4FGwsLYt5koKC3HrcjD2b1mL2o41sWfX\nLqioqAAAzp49i8FDXNF1wFB07T8UhlVMi7ni/DxcDT6OA1vWoo9LT6xevaro9di9ezemTZ+BPsM9\n4dxrILR1i5ePzM7KxKUT/ji89Q/MmjEdU6dORXn8a+UKvzYsYP+3+DdLEZ4/fx6Dh7hi/fZDcKzT\noNxtU5IS4TW0N/r37YWFCxdi165dmO+9EL57j8Lysz/6z4mMCIOXqwsWL1qI4cOHY8mSJThwKAB/\n7AqCvqFRue6rZ48wddQA7PPbC2dnZ4waPRqv+DCs2LgX6hqa5bq3r17A4pnjceH8OTg6OqJb9+6o\npKqNuct9oFjBaYBTgfux/Y/fcOf2Lejr66Nlq1ao1agVxk1fWO6XHhFh96Y1uBYchNu3biEvLw9N\nmjZFn6Ge6DVkVLn7lEgkWL9oOpJj3uPC+XMICwtDq9ZOmOi9Ci2du5Xr5uflYunUUTAz1sWBfftw\n8+ZNuPTqDe8/d8GxfpNy3Yy0VHh7DEbn9m2xcuXvOHToECZOnoplWw/DylZUrpsQE4V5o/thxtTJ\n8PLyKnM7FrCMHwJXV1dYWlpi+XLZb0YoD3l5ebCyqorlPrvQsOkvMjlJCfEY0r0V9uzehQEDBmJb\nwFnY2Mn2JfD+bQhG9e2Aw4cPwdXNHXuOX4WhsWxFmx/fu4U5nu7YuNEXc+d7Y1vAhQrD9W+Cj/tj\n/1/rMH7cWPgdDMDaHYEVhuvf7N28Dm+f34ODgz3ehEVh/srNMh9RrF44DYZaSkhKSoaGkRVGT5kv\nkyeRSDDf0xVd2rdC0JGjaN19ELoPGCqTm5+Xiylu3TB7+hTMmTsXXgvXoHHLdjK56akpmNDfGdv+\n2oxBg4dg+fYA2H420i6L2MhwTB7YEY8fPYK1tXWp27CAZXx3rl69Cjc3N7x+/fqbn3vdu3cv/tqx\nBz67gwR5O3zX4MbFk7AR1cLc5X8IcpfPm4KI0Bdo1LIDRnjNEOROHt4XGamJ6OM+Hp1dBsjsEREG\ndWqCQnE+Zq/wRb3GLWR28/Pz0KulI4ik2BpwCeZW1jK7SQlxGNKpCSpVqoSDl55AQ1NbZpd/+RRz\nxw2AsooadgffR+XKlWV2r58/ib1/LoO6jj7W7D0hswcAQXu24FZwIIwsbTF9xUZB7l+/e8PWRAe/\nr1hR6uPyBCyb5GJ8Nf7tia0NPr7o61r+IWtpdO8zGK9fv0Yf15GC3U49++HZ02foMcBdsNuyfRe8\nCwtD287CbrisoKCAhs2dIFWohLqNmgtyVVRUUcOxLqrXrC0oXAHA0NgEVcws0LpTT0HhCgCcQx0o\nVFJEl37ugsIVAJq36YT4hER0HThckAcA7Xv0Bx8Sis4Dhgl2uwwYiu3bdyAvL0+wWxYsYBlfjX9z\nxVZ2djaeP3uKlm07CnYzMzOgqaUDzqG2YDc3Jwe2nD0MjWS/V9ffSInQrFU7qKjIdt+rf6JQqRI6\ndO8n34RhpUpw7t5PuAdASkCbzr3kcvPz89G6k7AvEwCAggKyMtPxi3NXwWpudhYUFZVgX7eRYNfC\n2hYGxlXw7NkzwW5ZsOtgGV+Ff3vFVlpaGrR1dAWPjgAgMyMNOrp6cu03MyOtwkmtssjOyoCRsWnF\nG5ZCgTgfegaG8rn5YujqyXYDxs8R5+dBV89ALjc/Lxc6cri52VlQVlGFsrKKYDcrMx1aOrpyfwZ1\n9AyQlpYml1sabATL+Cr82yu2VFVVkZ+fL5eroqIKsVg+V1lFFfl5uXLvNzc3Ry63cmVFiOX891ZW\nVJT736uoqIR8sXyHzIpKShDnC3eVVVRQUCCGPPNDyiqqKJDz3wp8/EJRU1OT2/8cFrCML+bvFVvz\n58s2y/w10NXVReVKlRD14b1g18jEDPGx0cjKzBDsGhgZI/T1S0gkEsGuuoYGXjy+L9gDPobk04e3\n5XKVlJTw8ulDuVwVVVXwLx7L5WpoaiPk5VPBnrKKKlRU1RAe+kawq29UBempKUhPTRbs5uflIuJd\naJlXEcgDC1jGF1FQUAAvL69/vRRh5cqVMWz4MATu2ynYffXsEXR19XD6yCHBLv/yGVRUlHHrynnB\nbsS7UCQlxCD0zQvBbmJsFB7euoaU5JKrsyoiKSEGZ4IOCB4BSyQSJMZF48SBnYJHk1mZGUhPTcLJ\nQ8Lfn+iIMCgAOHV4l2A39NUzaGtr41zQAcHuteBjaNy4MSwtLQW7ZcEClvFF+Pj4wNTU9LuUIvQY\nPx7HA/YhNydbZoeIcHjPXxg21B0BftsEjUQlEgkC/bZh2FB3HN6zRVDo5OXm4FTQAbi7uyNgz18y\newCQGB+LB7evw6VXLxw7sEuQy794isy0VNStWwcXTx8R5N64eAbVqlUDSIKn928Jck8H7kOnTp3x\n6skDRAs8yjh2YDtcXYfg8qkjyMpIF+Se2P/x/TnjvxuFBQUye1KpFKcO7sQEL09B+6sIFrAMufl7\nYmvDhg3fpRShra0tevbsgbkTR6CwsFAmZ8+WP5GSGAtvb2/YVLXEql9nyBSURIS1S2bD0sIMCxcu\nRGZqIvZsWS/TPgsLC+E9ZTS6de2K+fPm4f6tKwg+7i+Tm5uTjTmebpg0eRK8F8xHoN9WPLx9XSY3\nNTkJ3lNGYsniRVi6ZDE2rvTGu5CSdRFKIyoiDGsXTcdvy5bit2VLsWKOJxLjY2RyXz65j/1/rcOi\nXxdi7tw5WDx5uMynY25cPI1rwcewYP58uLm5Ytm0USgopbZBaRzfvwPRYSHw9vZGvTp1sGHRtFJr\nG3wOEWHX+mXQ0VBD586dZdqXrLCAZcjNj1CKcNPGjVBRBKaOHojUlLLPu4nz8+G7ejGOHNyJ4DNn\noK6ujgB/f7x79RRLZnkhOyuzTDc7KxPL5kwE/+whggIDoaamhuAzZ3DSfy82rl6M/HImctJSkjFz\n3GAoogB//bUFRkZGOH3qJHxWLMChXZvL/WKIi4mEl1tP1K9bC78uXAiRSAT/w4fgPXkEzp8MLPeL\nISzkNcYP7IRh7q4YPnw4WrRogT//WI8pw3rhwa2r5brPHt7BBNdu+G3ZUjg7O6Nfv36YMmkCJg7p\nipBXZV/CRES4fuE05nu6Yu+e3ahduzamTZ2KDu2cMM29R7kjWYlEgpOH9+CPX6fh5InjMDc3x7q1\na2FmqIf54wYhNSmhTLdALMb+LWsRtMsHZ4PPQEtLCwcP7Eda7Aesnu2B7HLCPS8nG5uWzcGzW5dw\n8sRxua5KKRci+u5NJBJZi0QiioyMJMbPwZUrV8jS0pKysrK+d1dILBbTxImTSEdHl3r0GUQ7A87S\npUdhdO3ZBwo8f49GjJ9CBoZG1KlzZ4qPjy/mZmZm0pAhrqSjq0f93UeR34krdPHxe7r05D35nbxK\nA4aOJh1dPRo8eAhlZmYWcxMSEqhLl65kYGhEw8ZNpkNn79ClJ+F04WEYbfM/S937DCIdHV2aMHEi\nicXiYu7bt2+pWbPmZGJmTuOmzKOACw/p0pMICr4bSht2H6G2HbuTrq4eLV6yhKRSaTH3wYMHZO/g\nSDa21Wny/OUUdPUpXXgcQSduvablG/dS01+cyNDImLZs2VLitQoODiZrGxuyr12P5v62gY5df0nn\nH0XQsesvacGqTVS7fiOysLSio0ePlnD37t1LVUxMqWHTlrRo/Q4Kuv6KzjwMJ//Lz2iK9yqyE9Wk\n6iKObty4UcyTSqW0avVq0tM3oF/adqTlWw5S4I3XdOL+e9p3/iGNmeZN5pZVqX6DhvTq1atibmFh\nIc2YMZO0dXSpfbc+tGb3UQq4+ZqO3n1LO07dItfxU8nQuAq1bdeeoqOji7k5OTk0fMRI0tbRpW4D\n3OnPQ2fJ/9Yb8r/F08bAi9TbfQzp6OlR7z59KS0trYxP1/8TGRlJIpGIRCKRNcmYbd89XIkF7E+H\nWCwmR0dH8vf3/95dKUZSUhKtWrWKHBwdSU9Pn7S0tamqtQ1NnjKFQkJCynWjoqJo4cKFVF0kIh0d\nXdLR0aXq1UXk7e1NUVFR5bohISE0ZepUsrapRlra2qSnp0/2Do60cuVKSkpKKtd9/PgxjRo9miws\nrUhTS4sMDAypfoOGtGnTphKB/k+kUildv36d+g8YSKZm5qShqUmGRsbU4peWtG/fPsrLyyvTlUgk\ndObMGerStRtVMTEldQ0NMq5iQs4dOtLx48epsLCwTFcsFtPhw4eptVMbMjKuQhqammRiaka9eveh\nS5culfgy+CfZ2dm0fft2atS4CRkYGpGGhiaZmpuTm/tQunfvXrmvU2pqKq1fv55q1a5DevoGpKmp\nRZZWVclrwoQSofw5sbGxtGTJEhJxNUhHV4+0tHWomq0dzZ4zh8LDw8t1/4k8ActqETAE82+WImQw\nfhTkqUXAVnIxBMHuscVgyA6b5GII4keY2GIwfha+aATLcVwTACt4nm/DcVxdACcBhHx6eBPP87Jd\ni8L4Kfge99hiMH5m5A5YjuNmAHAD8PfNexoAWMPz/Lqv0THGj8X3WrHFYPzMfMkpgrcA/lnHrAGA\nrhzHXeU4bhvHceyv8H+I77lii8H4WZE7YHmePwLgn1dJ3wUwg+f51gDCAPz6ZV1j/Ch87xVbDMbP\nyte8iuAoz/N/Lxw+AuDP0jbiOM4JgNNnv6745vGM7wab2GIwijGZ47jPi8Ze4Xn+yucbfs2APctx\nnBfP8w8AtANQan20T50o1pFP18FO+op9YXwl2MQWg1GC9d/jOtjxADZwHCcGEAdgzFd8bsZ3gE1s\nMRhfxhcFLM/zEQCaf/r5MQDZ7p3M+ClgE1sMxpfBVnIxSoWt2GIwvhy2kotRKmxii8H4ctgIllGC\nn3Vii4hw5coV7Ny1Gx8ioyApLIShkSH69u6Fvn37QkWl7LuUSiQSnD59Gn77DyA2NhYAYGJiAtfB\ng9C1a9dy64Tm5+cjMDAQ/oFBSEpKRuXKlWBpaYnhQ93Rpk2bco8AsrKy4Ofnh5OnzyA1NRUqKiqw\nrVYNY0aPQqNG5d96Ojk5GTt27MClK1eRnp4OdXV12NesifHjxqJmzZrlutHR0fhr61bcuXsPGZmZ\n0NLURMMG9TF2zBhUrVq1XDc0NBSbN2/B0xcvkJ2dDW1tbbT+pQVGjRoFY2Pjct0nT55g819bERIa\niry8POjp6qJTB2e4u7tDR0enTI+IcOPGDWzfuQvh4REoKCyAvr4++vZyQf/+/cu9UaFUKsXZs2ex\ne68fomNiQVIpqlQxxuCBA9CjRw8oKSmV2+cvgY1gGcX4WSe29u7dC65GTYwa5wF1s+poN3A0Og/1\ngm3DNli/aRssLK0wf8ECiD+rjk9EWL9+Papa22CO92IYiRqg/eDxcB7iAWOuIeb9uhRVrW2wbt26\nEkWqCwoKsMDbG+aWlli7cSus6reCs6sHnPqPhqppdYwe7wVRjZrYvXt3if5mZWXBa8JEWFhaYW/g\nCVT/pTOch05Es97DkatmAJc+/VCvQUOcOnWqhBsfHw8396GwsbXFmRv3Yd/WBe2HTkTD7kMQk6uA\nlq3boGXrNrh9u+RNEt++fQuX3n1g7+CIu28i4NihL9q5T0TtTv3xNCIBderVR5du3fDqVck7Hzx8\n+BBt2zujSbMWCE3ORe3OA+Hk6oUabXvhwv3nsBOJMGDQIERFRZVwL1y4gEZNmqJjl25IJDXU7TYE\nLQd7wLp5Zxw4eR6WVatizNhxpd4y+9ChQ7B3rI3BQ0cgV9sMdXu6o0n/sahSzwl/bN8DcwtLzJg5\nC3l5xQufExF8N26EdTVbTJg+G5Us7FG/13A06DsKGqKGWPDbKlhYVcXyFSvkuomlLLByhYxi/Gyl\nCIkIc+bMxYHDAfDwXgXHhs1K7Xd0RBh2rF4INQUJThw/Bg0NDUgkErgPHYYnL15j9JzlsLWvXeo+\n3r1+jm0r5qJWjerYu2c3FBUVkZOTg249eiK7UAHuUxfC3Nq21L69enQHfy2diX69e2HVyt+hoKCA\nxMREtHPuAKOqIvT3nAmDKmYlXIlEgic3L2H7b7OxYO4cTJgw4WNf3r1D23btUa9NZ3Rz94C2nn4J\nt7BAjNvnTmDfusX4a/Mm9O3bFwBw//59dOnaDc6DRqFdXzeoaWiWcPNyc3D16EGc2uWDI0GBaNmy\nJQDg9OnTcHUfil7jZ6J5515QUi55NJCdkYZzB7bj7ukAXDh/Dvb29gCA7Tt2YNbsORg4bRHqteqA\nyoolD5zTkuJxcvufiHz5EJcvXoCZ2cfXZNGixdi8bTsGzvwNNRu1KPW9TYz+gKMbV6BybjrOnjkN\nbW1tSKVSjB47Dpdv3Eb/6UthbV+nhAcA0e/eIHD9IlS3NIX/oYNQVlYudTtAvnKFLGAZRcTGxqJW\nrVq4efPmT3PuddXq1diybSeWbg+Etm7JsPknEokEfyyYBFVpHo4fO4oJkybh9oOnmPvHbqioqZfr\n5uflYsXkYWhUxwG+PhvQs1dvZEsV4blofamB8U8y01OxaEw/jBrmhkkTJ6JlaydY1WqMQRPmVPgl\nlhgThUWjemHd6lVwdnZG4yZN0XbACHToP6xcDwDC+RdY4TkERwIDYGFhgWbNW8B11jI0dOpYofv8\nzjX85T0J169dRVZWFjp27oIJq7fDrlb9Ct0bJ/1xevt63L93F/fv38eI0WMw3fcgTKpWq9A9sf1P\n8LfO4/bNG9izZw+Wr16HKb4HoW1gVK4nlUpxcNV8KGQk4FzwGcyZOw8nzl/GuNU7oape/pFYgTgf\nO+Z7wrGaBfbs2lnme8IClvFFuLq6wtLSEsuXL//eXZGJpKQk2NpVx58Bl2Bkai6TU1AgxowhXTDJ\nYyx+XbwEfwZdg6Z22ef+/kl2ZgYm9m6NX73nY+2GjVjudxpKSmWPeIr1NT4GU/u2xfx5c+F/4ixm\nbtgr8xHCu1fPsHqyO4a6u+PZ+1iMmr9SJg8A7l8Oxukd6+Fgbw8FQyv0HDlRZjd4/3YkvrmPlOQU\n1O08AC269JbZPbh+May0lHDi5EkMXbAWonqNZfKICFvmeqBLqyZYvXYtZm07BmNLa5lcSWEh1nkM\ngNeooVjw6yLM33cemjp6Mrn5uTlY7t4JxwL90aRJk1K3kSdg2TlYBoD/n9iaP3/+9+6KzGzfvh3N\n2tPIY+wAACAASURBVHaSOVwBQElJGV0Hj8Lqtevg3HuIzOEKABpa2nDuMwSr165Dp4EjZQ5XADCs\nYoYmbTth/Z8b0MVtrKDTL7b2tWFmXR1bt21HF1dh63catO6A1PQMnD59Gu37uQtynXoNwo1r1xD2\nPhxNO/QQ5DoPHIU9e/dAU99Q5nAFAAUFBTgPHo31f/4J+8YtZQ5XAKisqAin/sOxcvUaNO3cR+Zw\nBQAVNXW0cBmCP318ZHZkgQUs46ec2CIibNy0GZ1kOFT+nEat2iM6KgrOvV0Fu/VatEVsTAxaduop\n2BXVaQRxoRSOjYWvx7GwqwlTa1uYWdsJ8ipVqgRTazvUb90BGtrCSn6oqqnD0LwqWvYcWOFpkM8x\nMDGDhrYeWvVyE+QBQDXHehAXSPCLyxDBrkMzJ8THx6NFz8GC3WZd++H48eNITi777sRCYQHL+ClX\nbKWnpyM5ORmiWvUEu6mJ8dA3qgJDk5KTSxXuNzkJ1WrWqvCcbWkU5OejVpOWck0eEhHqt3QW7AGA\nVCJF7eZOcrkFYjEcGreUy83NzoJ9oxaCPYmkEDlZGRDVbyrYzUxJgrqmNowsyr/UrDQ0df+PvfOO\niurq+vBD770KgtgY7IrYEOxd1NjFXoktlhh7712jJrHF3ntXNHbE3rCgo6JgAUGk92HmfH9gRlHa\nEPO9MZlnLdZSzv3de7gzs+fcvffZ2xJHl1JIpVKVtbmhNrD/cb7VUoRJSUkY5RAFLwipKSk5RtAL\npk3G0MS00FrjHHI95XI5Z/ZvY3Dz6kS9eZWjVpaRXug5yzIz0DcsnDYzIwP9wl43Iz3fAFNOpKek\noKunX6j3Y3pqMnqGqn/5/YmeoRGJiYmF1n+OeqPBf5xvdceWiYkJSUmJWa2RVfwgGhoZkZpcuA+R\noZERKYkJhdIaGBrxOvRZtt/dCTzHlqUzMTYz58eFa7B1dMpRq6urR0pS4easo6NX6L9XR++vapMw\nMDZRSadnaEhGehoKhQJNTdXWgHqGxqSlJKuk+ZT0lKyNE18L9Qr2P8y3GNj6E1NTU+zs7HgcdFNl\nrYW1LbHR74gKz3m1mOd1LawICb5HaiE+xDp6+gRduYBCoSDsSTCzBvmyYcFkfIeMYfrv+yhVvnLu\nYg0Nbp4/qfI1ATQ1Nbh76UyhtNo6Oty/cr5QWgNDYx5cu6iyTktLGyMTUx7fvKyy1sTCkrSkRN6G\nhaisTYiJ5k3oM9zc3FTW5obawP5H+RYDW5+ioaHBkMGD8N/95S6p/Lh61p+iTk6c2rdVZe3Ni6dx\ncnYm4Ph+lbWPb19BX0ebOUO6M3NgFzzqNmHJ3nNUq98s31X4S+l9ot+E8TrkSZ7HfY5CoeBNiJSg\nS2dJjItVSZuanMS712FcOryLzEyZStp34a9ISYzj4v4tX+yAy4+nQTfR19Uh8KDqr8+9S2cp4lCE\ny4e2q6y9cnQ37dq1x8Ki4NkH+aE2sP9RvsXA1uf06dOH6xf+IOJVaIE1GelpHNvxO+PGjOb0ge0k\nxMUUWJsYH8vpA9sYN2Y0J3auIz0ttcDasKePuXTyCPFxsUSEPePnAxdp1qUP2gXYB//k3i2iXocx\n8PvvObp5ZYGvCXDt9FHsbG1o3bo1p3auV0l7Zt9WGjRoiJvEjcsqfqGc3LaGPr37IEtJ4tGNwALr\nhBCc2raakSNGIL19lYgXz/IXfSBTlsH5XesYN2YM1/wPkBDzrsDa1OREAg9tZ9jQIQXWFAS1gf0P\n8q0Gtj7H0tKS2bNmMnNId2Kio/I9XibLYOmEoVSuUJ5+/frRu1cv5o3oQ0pyUr7alOQk5o3oQ68e\nPejbty/VqlRmxaQfkMky8tTJ5XIObVrJqM6NqFChPHfu3KF0yRLsXb0YhUKR73Ujwp7z82g/Vq38\njbFjx/Baeo8jmwpmZJ/ev82m+ZNY9duvzJs7h8Aju7hy8lCBtLcunOKP7WtZvGgBv65Yxv7f5vPo\n1pe1DXLi7N4tSK9fZMrkSaxdvYp100byOiT/yLwQgv0rF6BIimXEiBEsWbyYlaP7EhsVka9WnpnJ\ntnnjcC3uxIABAxj2ww+sGTugQP7yjLRU1k8aQtvWrahatWqB/saCojaw/0G+1cBWTgwdOpR+fXoy\ntntLrl/4I9eiHSGPHzBjcDeMtBRs3bIZTU1NFi6YT82qlZjcty0Pb13N8VE2q57ANSb3a0e1yuVZ\nuHABGhoabNm8CXM9TeYM7c6Lxw9yvOatgDMM8qnJ9l/n06dvX27evImrqytHDh0kKuQhy8cPIjwX\nX6FMlkGg/0Gm92/HnNkzadu2Lebm5pw+dZIrx3azfu4E3keG56hNT03ljz2bWTyiN1s2b6JWrVo4\nOztz6qQ/e1fMYd+qxbm6C5IT4zm8/he2zJvAsaNHKF26NJUrV2bv7l2smTiEUzvW5RpEiouOYufP\nMzm7cy1n/jiFra0tTZo04ZflP7NkaFcCj+1DlpGeo/bdm5esnzGKsDuX8T9+DENDQ/r17cuoEcNY\n5NeeuxdPocjltX0TImX12AHopiWwZ9cutLS0mDF9Gi0a1uXnwR2R3rqS62v7/MEdfhnejfIlnfj1\nlxU5nv+voN4q+x/jwoUL9OjRg0ePHn2Tvtfc2L9/P9NnzuL9+xgate2KY/HSaGlrERMVyYWje3gf\nGc7QoUMYM3o02p8kzQshWLt2LQsWLUZoaFG/TRfsHJ1BQ4PI1y85f3gnyGWM/mkUfn5+2Vb8crmc\nRYsWsWz5CiztHPBq0R5LW3siXr7g5J7NvAt/hWNRJxYumE/Hjh2zzTc1NZVp06bz+/p1uLiWo3rj\nVphb2ZCRns7LJ8GcO7gDNzcJM6ZNpUGDBtm079+/Z+KkyezYsYPy1WpTpW4TjEzNyEhL5dn92wQc\n3Ustz1rMnjkTd/fstQNevnzJuAkTOXrkMB71mlK2Rh0MjExIS0ni8c3LXDtzjKZNmjF3zixKlcq+\nqeHBgweMnziJixcuULPZd5Sq6IGeoRHJCfE8uHyW+1cv0KFDR+bOnoWdnV027aVLl5g0ZSr37t2n\ntk8HnCUV0NHTJyk+hjvnjvP84V169ezFrJkzMDbOnhZ29OhRpk6fwevwCGr5dKJIcVe0tLWJfx/F\n7T8O8+51KEMGD2LC+PFflB7ctGkTs+fOJ1WWSY0WHbF2LIaGBsREhnPTfx+ZqcmMGjmCH374Id+n\nOXUtAjV5IpPJcHd3Z+rUqcoKS/8mhBDcuHGDDRs38fr1G2QyGTY21rRv1xYfH59shjUn7dmzZ9m+\nYyfhH+rBFrG3p1tXXxo0aJDnhy8zM5Njx46xectWrl29yrt3UVSrXoP58+bi6emZpzYtLY29e/dy\n9NhxYmJj0dfXp2Tx4vTv349y5crl+fcmJiayZcsWzp6/SHx8HEZGRpQt48aA/v0pXrx4ntro6GjW\nr1/PtRs3iY+Px9TUFPcqlenfrx/29vZ5al+9esXa33/n/oOHJCYlYWZqSh2v2vTq1Qtz87x3i0ml\nUtb+vo4nz56RmpqqrAfbpUsXDPPJX719+zbrN2zkRVgYMpkMaysr2n3XhjZt2uRZ01UIQUBAAJu2\nbCU8IgKFQoG9nS2+nTvTpEmTAqeCqQ2smjz51koRfiskJSWxcOFCfvnlFwYMGMD48ePzLB6t5tuk\nMAZWvdHgP4K6x9bXRy6Xs379eqZOzXqMv337dr7dANT8t1Ab2P8I/6bA1j8Bf39/Ro8ejaWlJYcO\nHcq3vYua/yZqA/sf4FvtsfVP5N69e4wePZrQ0FAWLFhA69at1U8EanJFnab1L+db37H1TyE8PJx+\n/frRuHFjWrduzYMHD2jTpo3auKrJE7WB/Zfzb9ix9b8kKSmJqVOnUqFCBWxsbHjy5AlDhgz5WzuR\nqvn3oHYR/ItRB7YKjzqApeZroDaw/2LUgS3VEUJw8uRJZQDr8OHDeHh4/K+npeYbRW1g/6WoA1uq\nExQUxOjRowkLC1MHsNR8FdQ+2H8h6sCWavwZwGrSpAlt2rRRB7DUfDX+koGVSCQ1JBLJuQ//LimR\nSAIkEskFiUTy69eZnprCoA5sFQx1AEvN302hDaxEIhkNrAX0PvxqCTBBKpXWBTQlEonqbTfV/GX+\nLaUI/07kcjlr167F1dWVkJAQbt++zbx589TbW9V8df6KD/YZ0BbY8uH/VaVSacCHf58AGgMFKz6p\n5quhDmx95PN+XQUNYP1Zn6Ow3V8L+8Wm1v792r/y2haGQq9gpVLpASDzk199OuNEQL0c+H/mW+6x\n9TUIDw9n6rRpFCteEj19fXR0dbG2taPfAD927dpF06ZNGT58OLNmzeL8+fPZjGtISAg/jvqJIo5F\n0dXTQ1dPjyKORRkx8keePcu7qn5QUBD9B3yPta0dOrq66Onr4+xSgilTp/LmzZtcdUIIAgMD6dTF\nF3NLK7S1tdE3MKS0WxkWLVrE+/fvc9UqFAr8/f1p1tIHUzNztLW1MTQypkJld1avXk1SUu5FxGUy\nGXv27MGrbn2MTU3R0tLCyMSEGp5ebN++nfT0nGu2AqSkpLBhwwaqeFTH0NgELS0tTEzNaNC4KUeO\nHMm1Hi9AXFwcy5YtQ1K2PAaGRmhra2NmYcl37Ttw/vz5PFvLREZGMnPWLIqVKIWevgHaOjpYWNvQ\ns3cfbt26lasOIDQ0lNFjx1GkqBN6evro6ulha+/AkB+G8fjx4zy1f5W/VE1LIpEUA3ZIpVJPiUTy\nSiqVOn34fWugkVQqHZaDph5Q77NfmwPD1dW0Cs+/vRRhXqSnpzNo8FD27N1D1YY+VG/VBTvnEmhq\nafH6STB7Fk/m9bNHuLgU5+yZ07i4uCi18fHx9OjVm4sXA/Bo3p6qzTpgaZ/1Hox5+5pb/nu55b8f\nL6/abNm0MVs5vvDwcDp28UX65CnVWnahcuPvMLWyRSgUvHv1nJvHdnH37BHatWvH6pW/oa+vr9Q+\nevSIjp27EBOfRJWWXahQtyVG5pbIZTIiQh5x+/gOHl85y8BBg5g/d062knqBgYF07d4TdA2o0rIr\nbp4N0TcxQ5aWyutHd7l7fAeh924wddpURg4fnm21dvDgQfwGDcbc3pkKzbtQwt0LPUMjMlJTeHH3\nCvf9d/Iu9Am/LF+Gr69vtvu8atVqxk2YgKNbZco37YxTeQ909PRJS07k2fXzPPDfSUZCDJs3rv+z\n6hSQ9UUyfcZMFi9ZQnF3L8o17YxdqXJo6+qRkhDL00sneXhyF0Z6WuzZuYPKlT82f5TJZPwwfARb\nt23D1bMJbo06YeVcEk1NLZLjonly8RiP/thNsaKO7N29M9trm5SURK8+/fjj9GkkdVvj2qAdZvbO\naGhokPgunCfnD/LozD6qeXiwc9sWrK2t83yffVJNaxkQ99nwealUev5zzdc0sIeAxVKp9KJEIlkJ\nnJVKpXsKeB4X1OUK/xL/1VKEaWlpNGnWnBRNfTqNnYeBcVbL5fSUZM7sWMPFfVvwbNWZBr5+XD26\nkxtHdhAYcJHixYsTExNDbe+62LpVocXAcejo6ed4DVl6OifWzOdt8E0CL17AysqK0NBQanvXoXKz\nTnh38UNLK2dvW1pyIgcXT8AgM5k/Tp7AwMCAW7du0aRZc+r1GkmVph1yrUeaFBvN3tnDqeRanF07\ntqGpqYm/vz9dunan5cjZSGrmXqc2JjyMPdMH07ldaxYvXAjAuvXrGTN+Im3GLaNo2Sq53tOIpw85\nOHsokyaMZfgPPwAwbfoMVq3bSJuJv2LtXDJX7YvbgZxYOobfV6+iffv2CCHo068/567eosXYZZhY\n51xrVgjB4wtHCVg3j2NHDlG7dm0yMjJo2aoNr+LTaTBsLvrGOT8UK+Ry7h3byoOjmwi4cA6JREJC\nQgLe9eqjYVOCWn0noKNnkKNWLsvgxq4VvLt7gauBAV8UCv+U//d6sJ8Z2NJkBb10gEfAAKlUWqCT\nqw3sXyMiIoIKFSoQGBj4n/O9+nbtRsi7BLpNXoqmlhYKuZyrx/ZwfN3PuFathY/fT1jaOyqPD9i3\nmdtHt3Pn1k2aNm+JflFXWg4an++XkhCCE6vnkxwWzB8n/alStRrlmnakdrve+c5RoVCwZ85ISlgb\ns/znpVSq4k6j7ydRzrtpvlpZRjrbJvTlu6b16N2zJ57edeg45Tecy7nnq01NjGfTKF8mjf4RNzcJ\n7Tp2puv8rVgVzbsYN0Bc5Bu2je7K5vVriYmNZdS4SXRduAMjc6t8tW9Dgtk3pT9n/jjJ8RP+/L59\nD21nbkBXP++C2gAvbgVwdsVEbt+8zvSZs7j88DnNxixDM5cvsE95eHofwYfXcf/ubdp36kyMtiVe\nA6YUaMFxY9cKUqRXuXX9Wq6F2dUFt/+jdO/eHScnJ+bOnfu/nsr/K1KplFpe3kzcdQEdXT0eXbvI\nod/mYmhqTtuhE3B2q5ijbsN4P+pWLc/+Yyf5Yc3hAle0VygU/DKwDe1aNOX0tSB6zF5b4LnKMtJZ\n1K0unTt24F54Ai1/mF5gbVJsNCv6NaVZs2bEmzjh3eX7AmvfPn/Mnql+lCxZiiJebSlf36fA2ifX\nzvFw/yri4+OoP3QORcvmb9T/5NaRbWi+vENg4CW6LNmLma1j/qIPBGxciJupYO++A/Ra9Qe6hgXP\n5f5jyU80rFyKHfsO0fHnIwUyzJD1BXpkUjd+nj2F7777LsdjCmNg1RsNciEpKYmHDx+SmJj4xZgQ\ngpCQEEJDQ3N0zMfFxfHw4UNSU79s6yyXy5FKpYSH59yw7t27dwQHB5OR8WW30oyMDIKDg3n37mM7\n4k8DW+Hh4Uil0hwDDampqTx8+JC4uM9dR1l/T2hoKCEhITn+PYmJiTx8+DDPwMn/gl9/W0n1Fh15\n9/IFv/3Yi/3LZtBywCiGrdiRq3EFqNm2B5u2bad6664FNq4AmpqaVPPpysYt26jeprtKc9XR1cO9\naXu2bN1OtdaqaY0trCnlXpujR4/i3rxj/oJPsC/hhqG5NQ+Dgynj1UQlbSmPOrx6/RqhY4Bjmdxd\nCjlRvmEbzp49TdFyHioZV4AKzXzZuWsXbvVaqWRcAco282XD5m1ImnQusHGFrKwCSRNfli7/RaXr\n5YfawObAjRs3KO7kRDPP2rg4OhIQEKAck8vltPXxoXrFilQpW5a+PXpkM0rHjx/HxbEoTT1rU8LJ\nKdtW1eTkZLyq18C7qgduJUsyecKEbNdd9/vvlHB2pmHNmpRzdSUi4mO74rdv31JeIqFBjZqUcHZm\nzerV2XZsLZw/H0mJknhV9aCWR7VsxvDx48eUdC5G41qeFHN05NixY8oxIQR9e/aiUpmyeFSoSOsW\nLcjM/JgcEhgYiLOjIw1reVLMsSjXr1//Ojf5LyKXy9mwcQORr0L57ceeVPBqxPgt/lT0bpzvI6Fj\nKTeSEhJwb6R6qrZ9CQkyuZzSHt4qay2KFMPMzhHbYqVV1hpa2lKyqjdGZpYqa/XMranQuD1aOroq\n6TS1tDCwsKVCc1+V/fp6hsboGZtTtmlnlXQA5vZFUSigXBPVtVbFXElOTsStfluVtaU8m3L37l3C\nwsJU1uaG2sDmgF+vXrRMzWScXJuOGdCnWzfl2O7duwkOuMQ4hR5jhT5nDx/h5MmTQJax6uHblW6Z\nmgzP0KJmQhpDBgxQapcvW0bq4yf8INNmqEKPX5ctUxrghIQEhg0dSi+5Dn7pWti9jWbi2LFK7aRx\n47EKf0ffNE26Z+rw4/ARLFy4kCJFilC+fHmWLVpMT5kOvVM1SX38lKVLlyq1Qwb4IYlJoksyNE+F\n7r6+yi+F06dP43/wIF3StOmSqsWDgMvs3LlTqe3drTvVE2U0SJRTJSGdPt17/D03XQWSkpIYN24c\nSYmJWDs4MWnHGeq074mWdsF2YMW/i8Tcxh49FVdHAEkx77B3cVVp5fsn6anJOEoqqKyDrEBO0TKV\n8z8wB+QyGUVK5d1AMTdk6anYFXcrlDY9JQnbQmhl6WlkZqRj4Zi/r/hzUmLfYWBqkWtALC+0dHSx\nLlpcbWD/bqLevcNZM+vxwklTm+iYGOVYZGQkdnKBtoYGehoa2GloERUVBWT56OKTEnHUyNI6amgS\n+fatUvs2PBzb9Ew0NTQw0tDEUkdPqY2Li0NXUwvLDy+JfaYg4pMcyrdv3mAnz0qutkATbU0NFi1a\nxIoVK4iOjsZcRxcjDU00NDSwTM/k7SfayLdvsRVZKxBbtEhMTla6EaKiorBECx0NDbQ0NDCXKZRz\nAoh+/x5rNDlFKq/IzOae+P/m8x1YZhaWtB40Vpk5UFAyZRloq7iay6bV1cv/wFy0uUWz80Muzyz0\nnBUKucqrV6VW/he0mZmF0splGWhq6xQqG0Yuy0BLu3DzBdDS1cszD1hV1AY2Bzr7+rJbS8F1WTo7\ntOR0aP8xr7RFixY80BBcyEzjjDydEOTKnD8tLS1aNW/Bbm05t+TpHNUF3549ldqOXbpwQ0+D6/J0\n/hAZZBjoU7VqVQCKFi1KydKlOK4l5648nYv6mnTr00ep7da3D5f1NAhSpHNKW46mri5+fn5IJBKq\nVKmCwsiQAM1M7irSCdLXpNMnOYzdevci0FCTYJHBH/qCFk2aKiOl9evX562m4JZGBkFk8EJH0KJF\ni49z7tiRy4ZalEGHl5oCAxPjHP24fydCCPz9/alcuTJbt27l8OHDbN26ldTkZOSZMpXPZ2hiRnJC\nbKHmYmBiRlJsdKG0+obGJERHFkqrraNLYiGvq62jS0p8TP4H5qTV1S+0VkffgNRCaPUMjZHL0snM\nUN3Q6RmbkpYUn+emhbxIjY/Jt/W4KqgNbA4sXLqUAVMmkdy0Pt3GjWHl7x+jxa6urpy5eAGTdq2w\n6fgdl65exdHxoxN/x949tB7xA/LmDRk7fx4TJ09Wjnl5ebH38GEMWjfDrYcvl29cx9jYGMgKoJy+\ncIG63/dD16cJK9b9TvfuH4Mhvr6+/LJhPQY+TSjRogmGxsZM/nBuIyMjLt+4TuVeXbH4rgV7Dx+i\nbt26Su24CROYtHABxq2a0PHH4ezav0855uDgQOC1q0i6dqBYpzacPn8eN7ePj3W/rVnN95PGY+PT\nhKmzZtKqdWtq1aqV7+6mr0VQUFCOO7AMDQ2pUrUqDwLPqHxOXX1D0lOSefnonspabV09IsOeEV8Y\nQ6kBz24GIEtPU10rFDw4e6hQhkNDCILPHVb9moCWBjy+eFRlnRACbR0dpJdOqKxVKOToG5nwJNBf\nZa22rj5Cnkl48E2VtTGvQkiNj6FSpUoqa3NDnab1jfFP2LG1atUqpk2bxo4dO6hfv/7fco3w8HAm\nTZrEsWPHmDJlCn5+fl9Uudq5cyezl/6K35LNKp371MYVRN6/go61E+3HzFNJu2/RBDKjX2LhVp2G\nPb/YqJgnm8b2RluWQqlGnXBvWvBKZwqFgl/7NUVPW5P6g6ZSokqtAmsz0lJZ1r0umpoadFu0EytH\nlwJrE9695ffBPoAG3687jb4Krphw6T2OzR+GQmjQe80plSL60kv+PD64hgwtPdrO2V5gHcDtgxtI\nvH+WdCM7GoxYpJL28vo5NKngzJzZs3IcV6dp/Qf4J5QiHDhwINu3b6dLly6sXr36q5770xKCtra2\neZYQbNeuHZFhz3h8IyCHM+VMbFQElw9tY8G8uTy49AfhzwpekDwiRMqDiydZMHcu149sJy4q51S7\nnHh6K5DI0CfMnD6Vy7tXk5qUUGDt3VP7sTQzZuzoUQRsXa7So/OVvb9T26s23/v5cWnzzwiFokA6\nIQSXti2nZ4+etGjZgqu7VhX4mgp5Jpe3LeOnH0dSorgLQcd3FFibkZrMrb2rmTFtCrKEGEKuFfwJ\nJTkumvvHt7Bg3jxeBV3m7ZOCP6HEvnnBk4tHGTSw4DnGBUFtYHMgPT2d8aNHU79GDUYNG0ZKSkq2\n8XPnztG8Xj1aNW7MtWvXso3Fx8czeMAA6tWowYwpU7OlPAHs2bOHRrVr097HB6lUmm0sIiKCHp07\nU79mTX5dsSLb46AQgjmzZzN2zBj0tbSypXABPHnyhA6tWtGodm127dqVbUwulzNr+nTq1qjBwP79\niY+PzzZ+/fp1fBo3pmndepw5k/0NnZqayqhhw6lbvQZjRo1SBgAaNGjApUuXWLp0KcOHD//i71SV\nwpQQ1NXVZd+e3WyfNYqQoBv5XiPu3Vt+H92XsaN/ol69eqxZvYpNE/14G/o0X21k6DM2TRjA6lUr\nqVu3LuPHjmHT+H7Ev3ubrzb0/k32zPmRfXt24+Pjw3c+Ldg1bWCBjGxw4B+c27iYPbt24ufnRxkX\nRw4u+AlZAYzsjSPbeHT2IOvXrmHa1CnopERzZs2cfI2sEIILm5aQFv6U+fPm8NuK5YTfucD1fevy\ndVHIM2X4L5uIo7kBI0eMYMfWzdzZ/zuPzh/Jd74Zqckcnz+cBrVr0KlTJ/bv3c2FlVN5GXQlX21K\n3HuOzxrIkO/9aNiwIVs2beSPhcN49yL/L9C4iDD85wxk6ZJFODk55Xu8KqhdBDng17sP9w8cwAdN\nTiFwaFifHfv3A3Dv3j3qe3rSR0MbmYCtGnJu3rtH8eJZKSVN69ZDcecutYUmBzQUNPcbwLxFWXvB\nT506Rc927emloUWUEJzQ0+ZxSAjm5ubI5XIqSiS4Rr7DTWiyU1PO2PnzGThoEABrVq/mx6FDqaCh\nhb2uHo9trbj/5Ana2trEx8dTpmRJ6qdmYIsG2zXkbNyzh+bNmwMwYcxYDq1aRQs53NQErcoVOf0h\ntzc0NBT3ChVoJQNdDdinKTgbeElZcKNbx0488T9JrUxBgLYGVb5rzfotW5T3Ki4ujk6dOqGpqcnO\nnTtVDhB8XkJw8eLFKvfAOnXqFF26dqNa8w7UatMVqyLZ30OpSQnc8D/A+Z1rGTlsKOPHjVNGqLds\n2cLwkaPwbNeTai06YWKZveBHYmw0N47v4fK+TSxdvJBevXop5z1//gIWL1tO7Y79cW/SDgNjaUWX\neQAAIABJREFUk2za2LdvuHF0B7f897Bj21aaNs3aGiuXyxk2YiQHjhyjVkc/Ktb3+aIOQlTYU24c\n2cazq2c4fvSIMhialpaGb7fu3Al+Qs2OA3DzbPRFetob6T1uHNxE7ItH/HHyBCVLZtUOiI2NpUWr\n1sSkCTza9qWEe200Pkk3E0IQGnSVWwc2oC9Pxv/YUWxtbQF49eoVjZo2Q9fGGffWvXAsUyVblF8h\nz+TZ9fPcOrCO0kXt2LdntzK+8ODBA5o0a0GRirWo0KIbtsWzb+fOzEhHGniSuwd+p1Gd2vy+ZrXy\nieXChQu0bd+R0nVaUa5pZ8yLOGfTZqQk8/jCEYIOrcOvXx9mzZiunNfu3bvxGzSEsk19KdOoA0aW\nttnfFwmxPD67n/tHNzF35gwGDRpIXhTGRYAQ4n/+4+rq6uLq6ipevXol/gk4WluLDRY24qR1EbHL\n0laYGRoqx5YsWSJam5qL41ZFxHGrIqKBhZXYuHGjEEKIzMxMoaWpKfZb2InDlvZisamVKF+ipFI7\nbPAQ0cvAWBy0tBMHLe1EBUsrce7cOSGEEKGhocLGyEjsMbcVey3sxCgjM9G8Xn2ltlbVqsJEQ0Ns\nNrMRu8xshK2RsXj+/LkQQoiLFy+KMhaWYruZjdhuZiO66RuJwX5+Sm2FUqXEVCNzscXMRmwwtRZa\nmppCJpMJIYTYsmWL8DS3FOtMrMU6E2vRxMhULFq0SKm1MDYW8w0txCpjKzHL0FzYWVh8cb9kMpkY\nOnSocHNzE0+fPi3wfb57965o3LixcHV1FQcPHhQKhaLA2s8JCQkRPwwbLszMLUQlz3qiQac+olHX\nAaJm0++EsamZaNu+gwgICMhRe+/ePdG7bz9hYmom3Os1E/U79xX1O/cTVes3FyamZqJXnz4iKCgo\nR21gYKBo16GjMDY1E9Uatxb1OvcXdTv2ERU86wszcwvxw7Dh4tmzZzlqjx8/Lho1aSZMzS1F9Wbt\nRd3OA4R3+95C4l5TWNvaifETJorw8PAvdHK5XOzcuVPUqFVbWNrai5o+XUSdzn7C87sewqVMReHo\nVEzMmzdPxMbGfqFNS0sTa9euFWUqVBR2RV1EzdbdRO1OA0TN1t2Eg0spUdqtjPj1119FSkrKF9qE\nhASxePFi4Vy8pHAqXVbUaN1deHYcIKq17CKs7B2Ee7UaYsuWLcr31qdERUWJqVOnCVt7B1GiQlVR\nvU0PUbN9P+HerIMws7QWdeo3zPU9EBYWJn4c9ZMwt7QSrh5ewqNNT1G9XV9RqWEbYWxqLlq2/k75\nOfqc4OBg0W+AnzA2NRNlPBuJqm16i6rf9RHlvJsJY1Mz4du9h7h161aO2s959eqVcHV1Fa6uri6i\ngLZNvYLNAc8qVaj67AWt9A05nZbCCXsb7j/Neozcv38/4/v0ZY62PnIBP2WmsPnwYerVqweAo40N\n/dPkeOjqsScjlfc1PDh2+jQAS5YsYee06YzR1idWoWCsLIXrQUGUKlWKpKQkHG1tmahtQHEtbdZl\nplHStzO/rlmDTCbD3t4ex5RUJuoZEybPZLY8jdeRkZiYmPD8+XOqlq/AdG19LDQ0Wa7IoNPkiYwe\nMwaAVk2aoBd4le909Lkny2CLgTYR0VkpPxcvXsS3pQ9j0UEbDZZqyJiz7nc6dszakllR4ob7yzfU\n0tYjIDMdaeni3LiXs2+roMGvN2/eMHny5DwDWIUlOTmZo0eP8ubNGzIzM7GysqJFixYUKVIkX21s\nbCxHjx4lMjIrQ8DW1pZWrVphYWGRr/bt27ccO3aM9+/fo62tjaOjIz4+PgXqifb8+XNOnz5NbGws\nenp6uLi40KJFC3R188/nvH//PpcuXSI+Ph5DQ0MkEgmNGjVCS0srT50QgmvXrnHr1i0SEhIwMTGh\nUqVKeHl55Zt/qlAoOHfuHMHBwSQnJ2NqakqtWrWoUiX/7bQymYyTJ08SEhJCamoq5ubmNGjQAFdX\n13y1qampHDt2jFevXpGRkYGVlRXNmjUrkM1ISEjgyJEjvH37FoVCgY2NDT4+PvmWKPwU9Qr2KxEc\nHCyc7e2Fmb6+cLC2Frdv31aOKRQK4denjzDU0RUGOjpizI8/ZtMGBAQIazMzYaavL1yLFRMvXrxQ\njqWlpQmfJk2Eka6uMNDVFct//jmbdt/evcLEwECY6OmL6pUqi5iYGCFE1qq5Xr16onqlysJET08Y\n6xuIPbt3Z9P+sny5MNDVFUa6eqJFo0YiLS1NORYWFiZcXVyEqb6+sDQ1FRcvXsymHffTT0JfR0cY\n6OiIvj16CLlcrhy7e/euKGJtI0z19UVROzvx8OHDPO/dmTNnhK2trVi1atUXY4mJiWLKlCnC0tJS\njB07VsTFxeV5LjVq/kkUZgX7Pzeu4h9oYIXIetx/+/Ztjo87QggRGxsr4uPjcxzLyMgQkZGR2QzV\nnygUChEdHS2Sk5Nz1KalpYmoqCjlo1J4eLiwtrYWjx8/FgqFQkRFRWUznp+SnJwsoqOjc3zMksvl\nIjIyUmRkZOSoTUhIyPGRUoiP9yIzMzPH8c958uSJkEgkYtiwYUImk4nMzEyxZs0aUaRIEdGtWzcR\nGhpaoPOoUfNPQu0i+BfyrZYi/DP4FRMTQ0pKCjY2NoUKYKlR80+hMC6Cv9L08F/Ny5cvefDgAW5u\nbpQoUSLbWEZGBpcuXUJLSwsvL68v/F1SqZSQkBAqV66Mg4NDtrGkpCQuX76MqakpNWrU+MLfFRQU\nRHh4ONWrV+fBgwdcvHhRWRAmJiaGa9euUaRIkWxtNeCjTy0hIQFPT09lBPdPIiIiuHPnDiVLlvyi\nKLdcLufSpUvI5XK8vLy+8P29ePGCR48eUa5cOYoVK1ag+xcWFoZCoSAkJARjY2MOHTpE6dKqV5FS\no+abpqBL3b/z55/mIvD39xdWxkbC29ZWWBkZiX379inHUlJSRM3KlUV5CwvhZmEhmtSpk82NsG7t\nWmFtZCS8bGyElbGxCAwMVI69e/dOlHZ2FlWtrEQxU1PR29c32+P89MmThb2RsahpZS3sLCyEq6ur\n2LNnjxAi67Hb3tJS1LCyFnZGxmLqxIlKnUKhEH179BDOJqaiiqWVKOXkJKKiopTjV65cEZbGxqKW\nlY2wMjQSv69ZoxyTyWSiSd26opSZmShjbiGqVayYLYJ88OBBYWFoJGpYWQtLIyNx/PjxPO/d69ev\nRZ8+fYStra345ZdfREZGhli5cqWws7MTZ8+eVeVlUKPmH4XaB/uVKFu8uFhbxF48KllCbHNwEM52\ndsqxdevWCW9LS3HfxUUEubiIypaW4sCBA0KILENnYmAgDhZxEEHOxcRcK2vhXbWqUjt54kTR3txC\n3ClaTFxxdBJFTUyUAbT3798LYz09cdLGQdywdxK19fSFva2t0gD36NRJDDK1ENfsnYS/rYMw0dMT\n7969E0JkBaIcjE3EGVsHEWhXVLQ1MRMTx49XXreORzUxydRCXLR1FFstbYWxvr7yvIcOHRLlzC3E\naWsHcdbaQXiaW4i1a9cqtcXs7cVSMytx2tpBzDe1FBLnYjnes/wCWHkFv9So+RYojIFV7+TKgZTU\nVGw+PPbbamuR8klnguTkZGw0NND4UN7PSlOT5ORkIOvLKl0mw+qD1kZLK1vh65TkZKw/7KLRQwMT\nbW2lNjU1FR1NTUw1NYmWy7mTkU7ZUqWVLoTkxET+7IZkoqGJrqaWsmNCSkoKxtra6H3onG4lBEmf\ndGJISkrCSjNrTpaaWmTIZCg+zCMlJQULDU20PvxNFgLlnLLmlYblJ9rk1Oy72gq6A+tr7/xSo+ab\noKCW+O/8+aetYBfMnStKmZmJYZYWws3cTEz+ZDX4+vVrYW9hIbpbWIhOFhaimL29eP/+vXJ88IAB\nopK5uRhiZiaKmpiItZ88jt+7d09YGRuLPqbmorm5hajsVkaZEaBQKIRPo0bC08xclNLOSpny9/dX\nak+dOiWsjYxEf2NTUdvMXDRv0EC5Ck1PTxfuZcuKxmbmooexqbA0NhZ3795VatevWyccjI1FPyMT\nUcHUTAzs2085FhMTI4rZ24tWJmaig7GpsDU3z/Y6TJ00SZQyMRW9DU1EcRNTMWfmTOV8T5w4IcqX\nLy/q1Kkjbty4UaB7GxsbKxo3biyaNm2aa9aCGjX/RNRZBF+R/fv3c/3qVSq7u9O5c+dswaiwsDA2\nrF+PlrY2AwYMwN7+YytihULB5s2bkT56RJ169ZTbVf/k4cOH7Ni+HVMzMwYOHIip6ccKRRkZGYwZ\nM4YN69ez/8CBbL3lAa5cucKRQ4dwKFoUPz+/bMGoxMREVq9eTVxsLF18fSlfvnw2rb+/PxfOnUNS\npgw9e/bMVpE/MjKStWvXkimT0btPn2y95YUQ7Nmzh9s3b1K9Zk3atWtHUFAQo0ePJiwsjIULF9Kq\nVSuViiNnZmYycuRITp8+zZEjRyhVqlSBtWrU/K9QbzT4xsnIyBDly5dXBrb+aeQUwPorqINfar4l\n1D7Yb5x/QinCnPizhGDFihXzLSGoCn9n2UM1av4JqA1sDsTFxdGtQ3tcnYrSsXUroqOzt+rYsnkz\nFUuXooqbhEOHDmUbe/PmDa0aN8LVqSj9e/TIVupQCMHiBQso6+JCzYoVuXTpknIsIiKCmTNnkhAV\niZuzM2NGjswWCJLL5Yz98UckTk7Ur1mD4ODgbNe9fPkyNStWpKxLMRbOm4f4xPWTkpKCX69euBYt\nSsuGDXj9+nU27eHDh6ns6kqFkiXZtHFjtmsuXboUG2trlixcSO1q1Rg3blyeJQRVRR38UvNvRu2D\nzYFObVqjd/c6P9hbsD4qnpfFJRw/ew7IMmQdmjfj9+I2pCsEA0PfcfbKVcqVy+raWaNSJbzjomhv\nacz8yHiKNPdh5br1AOzatYupgwbyi6MlL9MzGBeZwIOnT7G1taVr164cO3SIcTam1DI2YEJUPK2H\njWTcpEkAzJ8zhwNLFzPL2pTrKWmsSlPw7NUrdHV1effuHWVLlWK6uRHF9HQZ9S6Oqb+txPdDX64h\n/fvz4vBBfjQz5khSCles7bh+/z4AwcHB1K1enYVWZhhoaDIyJo5dx46TnJzM6NGjCX/9muoIhpmb\nsjEphczqNdj3Sdvvr8VfLXv4KW/evFEWe7G2tqZ06dIF9hGHhoby9kOjSjs7O2UZyvwQQvD06VPe\nv3+PlpYWjo6O2VoJ5YVcLkcqlSqLvTg7OyvLBOZHRkYGUqlUWeylePHiBSpOA1lfvE+fPiUxMRFj\nY2NKlSr1xQaV3IiPj+f58+fKYi+urq7o6+vnLwSio6MJCwsjLS0Nc3NzJBKJskdcfkRERPD69Wtk\nMhmWlpa4uha8w29YWJiy2IutrS0lSpRQKXag9sF+JZxsrEVQzTIivn5l8bx2eWFuZKQcW7x4sfje\npYiIq1tRxNWtKDoVcxAbNmwQQmTt2dfU0BDvapUTMZ7lxdmKJUXFUp+WKxwspjvbieia5UR0zXKi\nVpEs/+P58+eFg4ODKGJiLCKrlRGR1cqI9SUdhU+DBkpt60aNxOriDuKNu5t44+4mipqZipCQECGE\nEBcuXBDV7GzEKddiwkVXR1Qw0BN1vbzEw4cPhUKhEJVKlxKHSjiL0PKuIqRcaaGpoaHcHLF582bR\nuoidCClbWoSULS3aWFqI0qVLC1dXV3Ho0CFhYWQkLpcsJp5ISopzJZxFEcsvyxV+LQpb9vBP7b59\n+0TtuvWFibmFcJZUEC5lKwtLOwdRorRELF++PNfiMikpKWLjxo2ioruHMLOyEc5lKoliZSoJMytb\nUdHdQ2zcuDHH8n1CCBEfHy9WrFghSri6CUs7B+FcprJwklQUxmYWwrNOPbF3795c61lERkaK2XPm\nCHtHJ2HjWEwUK1tFFHUtL4xMzUXTlq3EyZMnc6xnIURWAZ8x48YLC2tbYedcUjiXrSIcSpYRRiZm\nomOXruLy5cu5ln989OiRGDh4iDAxsxD2xV2Fc1l3UaSERBibmot+ft+Le/fu5Xqfb9y4Ibr16CWM\nTMxEkZJlhFOZKsKuWGlhZmktRv44Svme/ByFQiHOnj0rfNq0E4YmZsKhVFnhVKaKsC7qImzsHcTU\nadNzLM0oRNbn6tChQ6JOg0bCyNRcOJQuLxwllYSFnaNwLl5KLF6yRFkY6XPS0tLEtm3bhHu1msLE\nwko4uFYQDq4VhamVrXArX1GsXbs217ogn1MYH6x6q2wOlC1blq2vnjGyqBWbI2MpK/lYSq18+fKs\njE/hZVoG6QoFl2ITGVW2LJDVVdbVpRhbouLoaG3GjpgkylXz/KitXJm1e3bSSZbJy7QMniQkUaxY\nMdq0acPChQsZOXgwJ+MS8TQxZF9SOhXc3T9q3atw4P5d6pjKuZ6USppAWYKvZMmShCSlkGpiwM/O\n9oyIeI+hTIaPjw8JCQkY6OoyPTGe0daWPM/IoJSTk3LFUKZMGW4kpXBNV5utMfGcTErGr3MXli1b\nho6ODuXKuLH31Ut6mhqzLzGZsm5l/rb7rq2tzYoVK1i1ahVeXl4F7vn18uVLGjdrToaWAaUadcZ3\n0BJlu2ghBBHBt1i1dxdTps9g/57d2c557949mrbwwdihBCWb9KZ6ZW80P+QxK+RyXt+9xOzfNjBu\n4mT8jx3J1hDv/PnztOvQCbsyHrh1GYN9GQ/likieKSP0+mlGTZvH+ImT+ePkiWzbjHft2kV/v4E4\nV2uAx6AFWJUoqxyTpaUQevkEvQePwMnWkhNHD2NpaakcX7L0Z6ZOn45LbR+8xqzGzOHjKjs9KZ4X\nlw7TumNXalStzJ6d2zEwyGoVrlAoGDV6DOs3bsalznfUm7odI6uPGTCpsVHcDDiId4PGdO7Qjt9+\nWaHcBp6enk7P3n05ff4iTnXb03D2fvRNP66Uk6JecerCPtZWrcaYUT8yaeIE5b1ISEigddv2BD8L\nxdG7PQ3nDkPH4ONKOf7VU3YG7GfRkrIsX7qEvn0/dlMODw+nSfOWxKYpsPdqT/0O09DS0VO+trEh\n9/ht336mz5jFzu1bs2XtPH78mEZNm6NpXgRbz3Z49fZS9gYTCgXRj64xa9U2xk+azPEjh6lWrVqe\n77PCoHYR5MCbN2/o3KY1N+/do6KbG7sOHc72qDh31kzmz52HlpYmM2bPYcgPPyjHgoOD6fJdG56G\nhuFdswbb9x9Q1pxUKBSMGDyY9Rs3YmpkxIo1a3j58iUnTpzg5MmTBAYG0qtLZyLeRdOqeTM27tip\n/HCkpqbSp6svh4+fwN7aik07d+Ht7a287oEDBxgyoD8JScn07tmTZStXoqWlxevXrzlx4gQzpk7l\nTUQEGhoaVK9Rg2bNmuHt7U358uXp07s3J06cQEdbm9E//cSsTwrLhIaG0rlNa4KCH+FeoQK7Dx/+\nf3mNzp49i6+vLzNmzOD773Pvk/T69Wuq1fSkVJOuVPDpmetxAG8eXOf8zz+xb/dOGjVqxP3796lb\nvyHuPUZTsnaLPLXPr5zk5sa5nD97mkqVKnHmzBnadexM7aELcChXPU/tI/+thJzaxo2rl3FycmLT\n5s2MHD0Or5HLsCwmyVUnFAqCdi0j5el1rl8JxNzcnFmz57B8zXpq/7gCY2uHXLVyWQa3NkzHWiRx\n9o+T6Orq0s/ve04F3qL60CXoGefuR5elJnFj5RhquLmwc/tWFAoFzX1aExKbQZX+M9HWzd0VkBr7\njusrRtCjQ2sWzp9HUlISnt51SbcqSbkuP6GhmXud2sSIUG7+MoLZUyYyaNBAIiMjqVq9JhYeLSjR\nrHeej/MxIfcIWjOWrRvX06pVK6RSKbW8vCnWchCOtXxy1QFEBl1EumMOp0+eoHr13F/LwrgI1Ab2\nf0hERAQVPwS7Pi/A8ncRGxtLYGAgFy5cYP/+/bx48QJLS0vat29Py5YtqV27NlZWVvmf6P+Bp0+f\n0qpVK5o2bcrixYu/8NMJIahctRrGFepRqU3fAp0zPPgWF5b+yO2b1/H0rku5jj/ka1z/5Pllfx7s\n+pnLly7i7lEdz6ELKFK2YKueh0c3knjvDNu3bMK7fkPqj1uDedGS+eqEENzZuoCiWkkMHzoY3159\nqT9pI4YW+ftoFQo5134dS5NqZahUoTzT5v9M7TFr0THIvwh4ZkYaVxYPYkT/HkS/f8+OE+epPnQp\nmtr5Z46kJ8ZyaW5fVi9fzO59B7gdnkSFHpMK5O9MinrN1UUDOHXsCMNG/kSSbVlK+wzIVwcQ++Ih\nd377kVvXr9KwSTMs63SjqGerAmkjgy7yYt9CXjx7iomJSY7H/CMMrEQiuQX82VXvhVQq7VcAjQv/\nQQP7vyhFKET2HlizZ88mMzOTgIAAAgICuHr1Ks7Oznh7e+Pl5YW3tzfOzs75n/hvIq/g14ULF+jS\nuz/fLTqoUrDi8u8zcdFL4+Hr9zQYu1Kl+ZxdMITyRa14lqxFjb5TCqwTQnBsfHsql3El2rQE5dv0\nL7BWnpHOwRHNKOPmhk7llpTwallgbWpcNCfGtcPK2prSXSdiK3HPX/SBmNBH3Fk5ivS0NLwmbsbY\npmBBO4A3t84Re2ELYaEvaDDncIGM+p+EnN6BeeRd7gVL8Z6+N89V7+c83rsMV90Eboe8ofIw1V7b\nh+sn8FPP7xgyZEiO4//ztt0SiUQPQCqVNvjwk69x/ady48YNVq5cyeXLl78Yi4uLY8OGDWzZsiXb\nvv0/OXfuHCtXriQoKOiLsYiICNauXcvUqVO5ePEikz5kCUDWh/DIkSOsWrWKZ8+efaENCQlh9erV\nHDlyhM+/GGUyGbt372bt2rWEh3/ZTvrevXtMnDiRatWqMXz4cGbPns358+fx8vKiWrVquLi44Ovr\ny/Pnz9m4cSOurq7s27cPDw8P7O3tqV69OuPGjSM4OPiLa/+dmJubc/z4cUqXLk2tWrWy3Zely3+h\ndMNOKhlXAEmjTpw8fY4SDTqpPJ/i9dtx4uRJSqmo1dDQoFjtVpw9d5aS9dqqpNXS1aOoez3uP3hA\nseqNVNIamFtj6SIhWSawcc2/pcunWLqUIRNtzIqVVcm4AhSp7M3z589x8GiiknEFcPL04cqVazjU\n/k4l4wpQ1LstJ8+ex7aWavcYwM6zLUuW//JV399fO8hVCTCSSCQnAS1golQqvZaP5h/H5k2bGDdi\nGC2cbZj7+j3jZsxk8JChQNYjdk33KrjpCjIUCpbOn8ul6zcxNDQEYPaMGWxY8TN17cyZNi6atVu2\n0rp1ayDLn+np4YGXlSHHXkRQ+rPUloH9+nLl+FGqWBgxeewYjp8+o3S837x5k+YNG9Dc3oKg+BQO\nN2vB2o2bgKw0nzbNmxH3+AHFDHSZOn4cl67fUNax3bRpEwP79wehwFhfj6E/jlLOKSUlhbo1qmOZ\nEIO+pgZzp03l6p27eHh4MHLkSFat/I2pY8ag8+Ipy5fcYf26dSiEUK5uvb29qVKlylfrqZUTOQW/\nateujf/xY3Rb85PK59M1NEGhUODsXkd1rYEJembWWLm4qazVMTDGunQlDMxUd8Fo6BrgXLMZWrp6\nKmsV2vo412mr8hcRgNA1wMn7O5V1mlraoK1L0dqtVdbqGBiTKUvHqZBauSwD+yr5B0c/x0riwZOd\nSTx8+PCLreaF5WtvNEgBFkql0qbAIGCbRCL55jYzzJ46mV31yrLS05VDjcoze9o05diuXbuoqCfY\nW7cMh+qVxSI1gaNHjwJZQazZc2ZzukF5VlYryepqJZk3dbJSu+q33+hsb4yHiR41rUxIjXrLzZs3\ngax6ALt27uKstxurq7gwydWORbNnKbWL58xmfEkbVldy5oxnafbt2UNERAQAt2/f5lnQXfyrlWRd\nRWd8bYxY9dtvyh1Y/fv1o6m1KSGN3bnqWYZ58+crq2kdP34co/j37CvvxPZyTlTSlLNz585P7sVU\nDlRwxt+9JEerlMJMT5e7d+/SpUsXnj9/Tv/+/bGysqJRo0ZMnz6ds2fPZttc8TX5dOfXzz//jJ6h\nEXpGOfvL8iIlPhojS1tltoAqpCfGYmpbODeWLDUZsyIFy6v9HIU8E1P7ghU7/0KbKcPYpnBzlmek\nY6Ti6vVPMtNSMMojEJeXDg1N9EwKls/7KemJMeiZWhbIV/w5GhoamFg7EBUVpbI2N772CvYJ8AxA\nKpU+lUgk74EiwJs/D5BIJPWAep/pCp9V/o2RLMtk4bNwTjWugu/1kL/lGgoheHDvHq6urjRo0ICK\nbq50M1RgpqNNqjwDDVRfyXxK0aJF6dKlC126dAE+Bs4CAgKYNGkSQUFBVKhQQbnC/ZqBsz93fjVv\n3py05CQU8kxl6o0aNf9PjJBIJHGf/e68VCo9//mBX/ud2ReoAAyRSCQOgAkQ8ekBHyaRbSIfglzD\nv/JcCs3E6TPpPGIYzZ1t+OP1eybN/LiS7Ny5M0vnz6PDhUekyxXEGpji45OVBqKpqcnECRNptOJn\n6tqbc/RllovgTwYOHkyZ5csobmTA0KCXuJSroOxRZWdnR+cunWnwwUVwPDyG479tV2pHTZhI84YN\nuJucSVB8Cu07dlTmwbq7u1O6chWaXr+HnhAERsXibubA4cOH8fDw4NixY/Tx7ULLuBQuvk9kwoQJ\nyt0vLVq0YN40K9rdf4WBlgaPhTarPxhOgEkzZtBp3DgaWZlwKjqBOT8v++J+WVhY4OPjo7wPKSkp\nXL9+nYCAAH755Re6d+/+VQNnpUuX5vLly9gXKcLRmd/TdPRS9IxM8xd+wNDMmuSYKBRyucqrWD0T\nCxKiXud/YA7oGBgRH/GiUFpNLW0S3oYVTqutQ9K7ws1ZS1eP5HdvsCimuktEW9+Q5OhwdPNICctN\nh1CQnhir8ipWz8SS9IQYFJkylVexQggSo8MLsovu5/9VT651wAaJRBIAKIC+UqlU8ZWv8bfTs1cv\nypQty82bN+lXqRKenh83C1hYWHDtzl0OHjyIlpYW7dq1U/pfASZOmYKntzdSqZRhtWpGh6z3AAAg\nAElEQVRlS0wPCwvD0sqawePHY2trS9u2bbP181q1bj3Hjh3jzZs3TG7YMFsZPw8PD67evsPp06fp\n6OCgNGaQtcFhxrz59O3blxeRkaz9/Xd69eql9Lm1bNmS05cCuXz5Mj0+rGr/xNDQkAvXrrN//34y\nMzNp27Zttkj99wMHUbFSZe7evcvgqlXzzBP89Jz16tWjXr16QFZ5wrt37xIQEMC+ffsYOXIkBgYG\nyhWut7c3ZcqUUclHaGtri0/r77j5JIz947vRYvwvmBUp2CN0RkoimpqavLx9EZdqqvnqMlITSY+P\n5n3oY5X9sLLUJKKfBpEa/15lP6zISOXl9dNU7TpKZT+sZmYaLy8eQNK0u8p+WI2MVF4FHKSoR8P8\nD/4EhTwTMjN4HXgYCxfVNqfIUpPQ1tHjVeBhSjXrpbJWS0eHt3fO4VCtiUra99KbWJgaK7e9fw3U\nebD/T8hkMtzd3Zk6dSodOnT4aud98+YNkydP5tixY0yZMgU/P7+/NeD0NRBCIJVKuXTpkjI9LCEh\nQeXA2Z9pWqUb+3Jzz280HrEQxwo18r3+t5amlZmRxqERzf9Smpa1jQ2lfCeo07Ty4B+fpqUmd752\nKcJPSwja2dl9tRKC/x9oaGjg5uZG//792bRpE8+fPy9U4KxOnTrYWpghT0+h0YgF/LF0NA9P7c7z\n2uEPbxJ27TRLlywhKSKUkEvHCzzv55f9SXoTwpLFi3h98xwRwTcKrA0+tglrUyMWzJvD0z92EPe6\nYP53IQRBO5fh7eXFzGlTeHTgV1JiCxaEUSjk3N0yj169ezFh3Bge7lyILPXLtMKcyMxI48H2+Yz5\n6ScGDRrEg21zUWTKCqRNT4zl8b7lzJgyiZYtfXi8Z0mBU5+Sol7z4tRm5s+ZTeniLjw7/n/snXVY\nVVnbh+9zDt1KioIBAqKC3Y4tjoo9dnc3OsbYMbaOjo415ujY3d0diIqiiJSUdHNifX/wesYjIfg6\n9X7nvi6ua4a1f3tt9+E8e+21nvV7fi2QDrI3Gry7c5Jly5YiTYsn7ObRAmujfK+S/NaP3r3z3w1Y\nWLQBNhfCw8OpX7MGBvp61KxSiaAgzXmzhfPnY2FqgqWFOT+vWa3R9vz5czzLuWGgr0fzhg14//49\nERERLFiwgFWrVjFmxAhMjAyxt7Fi//79Gtrr16/j7OiAob4+XTu0V9fcguytst06dsBATw/rokUo\nVaqUugbWwoULuXDhAvbWVpgYGTJy6BCUSqVaGxsbS4tGDTHQ08PDzYVnz55p9Ltu7c9YmpthYWrC\nvDmzNdrevn1LrcqVMNDTo171qjmsDr8WHxbOfv75Z548eUJwcDBjx44lLS2N6dOnY21tTa1atfDx\n8eHo0aPExsYikUg4cfQwby7sJT44gHbzdvDk2Haub16Y/Yr6CeF+d7i0Yjz79uymdOnSnD11goc7\nlxB44/NB9s3N09zf9iOnTx6ndOnS7N/7O9dX+/Du6eezEJ+f2knQxT2cOn4UDw8PflqxjKtLRxAX\n/DJfnVCp8P19JVnBvuzeuR0vLy/GjxrBtcXDSHmfM9f5Y5TyLO5vnIGdvoKVy5YyeNAgWjauz+1V\no8lMScxXm5WWzN3V46hbyZ0J48cxb85sXO0seLhhKoqsjHy16fEx3F4xkv49u9KxY0c2b/gFg8RQ\nnu1ejFAp89UmR7zl3qqR/Dh3DjVr1uToof0kPjpL4Kmtnw3QcYFPePzLRH7bvpWyZcty7vRJQk6u\nJ/zW8Xx1AJGPr/By9wJOHT+W5y6uL0U7RZAL3zZpTBVpCpMbePLzrWeciJFz/W72aOXs2bOM7NuT\n0z2akKFQ4rXzPAdOnFbPTbqXdWK0ezG6e5Rh6oXHxJdwQaJngIODA2XKlOHXhXM41LEuQQnJeO+9\nxqOnz3BwcCA9PZ1SJYqzvqkn35S0YeCpB7h+256Fi5cAMHXyZC7t3kZCWjoyiYTwTCXvoqIxNDQk\nPDwcT/dyHG5TAycLYzqdeEBPn2kMGzYMgF5dOmP82pdFdd34/UUYK17H8eJN9kPj/v37tGvelNOt\nqmCkK+Pbk49YuWWH2jSjQa0aNJelMrKiI0sfB3FH35qzV6791R+JxsLZpzvO3NzcWLXmZ4SBGY71\nvAm8cRqpTEaz8UvRMzIl4vl9Xp3fw7tn93KYvfj5+dH821aYFCuNU5POOFTWNHsJfXyNwAv7SHn3\nhjMnj+Ph4aHWfjB7sXGrilPjzti5f2L2cuccQZf2oSdPzdvspVojSjf+Dqsyf8z7yTPSCLpxkreX\n9+dv9lKnFaUbdcpp9nLtKG8v76dWtSrs3f2bhtnLxEmT2bxlGyXrt6NUg/YYWxZTa9Pjowm6eojg\nq4fo+l1Hfl79k4bZS59+Azh78TKODTpSsl5bDbOX5KgQgq8cJOTGMSZNnJCP2UsHHGq31DB7SQgN\nIOzqQcLvn2f1qhX069tX3fbB7CUuQ4Vd3Q4Ur95Uw+wlLvAJEdcOEvP8Nnt2/0aLFi3U2hcvXtCs\nRUskZrbY1GmPjUd9DbOXGP87RN88SGrYS04dP6ZecM4LrV3hV8LBzla8mtxDKBYNE5Ez+goLUxN1\n27Jly8Soep5CMX+QUMwfJLpXL69pVyiVisxZfYViTn9xZ2gb4eRYQjg4OIiUlBQxesQIsbhZNaGY\n2UcoZvYR9VxKqculBAUFiRKWRYR8ek8hn95T7O30jWjTvKkQIrsst7WlpShmYiAOdqwvsiZ3EY5W\nRTXsCms7OQj5pM5CPqmzWNq4khgxdIj6miuXcxU3uzcU8vEdRMbY9kIq1bQr7FrRWchHtxHy0W3E\n6KouYsmSJWqtpbmZCOvfTMhHthavezcW9laWf+q9LyhyuVzcu3dPLF++XLRv315YW1sLKysrYW1j\nK/QMDIWRqbnQ0dMX5pY2wsnFTaxevVokJibmeq709HSxbds24Vm1erZdoZuHcCznKcwtrYVn1epi\n27Zt+doVrlmz5iO7Qk/h4FpRmJgXEXUbNBIHDhzI064wOjpaLFi4UG1X6OheWRQvW14Ym1mIFq3b\niLNnz+ZrVzh5ytRP7ArdhLGpuejcrYe4detWvnaFw0aM/MiusLKwK+0iTMwsxMAhQ4Wfn1+e9/3e\nvXuiZ+++2XaFZdz+Y1foLMyLWonxEybma1d46dIl4d2uozD6j9VhCbdKarvCWbPniIiIiFy1CoVC\nHD16VDRo0izbrtC5/B92hWWcxfIVK/K1K9y1a5eoUqN2tl1h2QrC3qWi2q5w06ZNf6pdoXYEmwtd\nOrTD+F0g4+qWZ8O9l7zRt+TEufNAtuH2d96t2NmhHhkKJX0O3+DS9ZvqlcdaVSrT2FxCtwqlmHnV\njyuhsazfsIFOnTqxZ88eZo8fza8tq/M2IYXRFx7z9EUANjY2ZGVl4VK6FOM8SvCNow2jL/hSr2N3\nomJiOHHiBLVr1iTa7wFrGntwI+w9S/3CePU2WG24Xd6lLCvrl6OMhQkDzvsyfdmqPwy3hwwm4to5\nZlZ3Zt+rd5xL0+HO4+xtvM+fP6dhnVpsbVgeQx0ZvS4+5fejx6lXrx4A3s2bUSImiGHuJVj1NJSk\nku7sO3rsr/9QPoP4aOHszJkz3Lx5k7i4OFQqFf369aN///4FWjh7+/YtUVFRQHamQmEMt1+/fs37\n9+/R0dHB3t6+UIbbAQEBasNtBweHQhluBwQEqA23S5UqVSjD7devX5OUlISpqSlOTk6FMtwOCgpS\nG26XLVu2UIbbISEhpKenf5Hhdnh4OFlZWVhaWuLi4lLgzIiQkBANw+3SpUtrDbf/DuLj40WPzp2E\nSylH8V27NiImJkajfceO7cLD1UVULl9OHD58WKMtLCxMeHs1F66lS4qa1auJxh+V11apVGLp4sXC\n3am0qFW5krh+/bqG9vnz56Jx3TrCpaSDqF2rpihatKj4/vvvRUJCglAoFGLShPHCrXRJ0ahObfHs\n2TMN7Y0bN0TtKpWEu1NpsXjRjxqjl9TUVDGoXx/hWspReDdvmuM+HzlyRFRxdxMeLs5i639G4x94\n//696NKurXBxdBDdO3X4V5XaDg0NFdOmTROGhobC3t5emJqaiiZNmohZs2aJCxcuFHjkokWLENoR\n7D+KL7EiVCgUbNmyhZkzZ9K4cWPmz5+vMW+n5cv4YHvYoEEDWrZsyc2bN7l27dqfuuNMy/8e/wi7\nwi/hfzHAFsaKUAjB6dOn8fHxwdLSkmXLln12wl1L4cjN9jC/hbN/glWjln8WXxJgtZu48+DgwYPc\nvXuHSpUq06VLF425muDgYLZs2YJMJmPQoEHY2f1RdkOlUjF16lSOHj3Ktm3bcpz32bNn7N69GzMz\nM4YOHUpQUBA+Pj4EBwezYMECIiIiOHBgP1lZWRo7yCB7/vfYsaMUL16CQYMGoa//x46e5ORk1q1b\nR1JSIl27dsvhBnT69GkuX7qEq5sbffr00SgUFxUVxYYNG1AqlfTt25dSpUqp24QQ7N27l0cPH1K9\nRg06dOjwRa5MfzcfbA/HjRtH7dq1OXbsGM7Ozn/6jjMt/88p6FzCn/nzT5uDXbxokXBzLC5md2kh\nPMo4ih+mT1O3hYWFiWI21mL0t/XF4Ka1RSmHEiI2NlbdPnTwIGGopys616ooStnZiI0bNqjbfH19\nhVURCzG59TfCu6q7sCxSRNjY2Ig1a9aIzMxM0aZlC9Hc003MaNNA2Ba1EKdPn1Zrz549K2yKWIgf\nWtcXXp6uopVXM/U8a2ZmpqhWyUN0rlFBTPaqLawszMWjR4/U2l83bxYlbazE7FZ1Rc2yJcWwwYPU\nbXFxcaK0QwkxqK6nGN2wqrCzstT4HGbN+EFUdCwmZreoJcoVtxMLF8z/ujf7b2DdunXC1tZWncGR\nFyqVSrx48UJs3LhR9O7dW5QuXVpYWlqKtm3biqVLl4o7d+6IrKysv+iqtfzdaOdgvxJOJR3ZP6oz\nHiXtCYqOpc6MdUTHxgGwevVqHh7exaaB2Ya+7VftossoH3r06IFSqURfT4/6rqU4N3UAV/yD+P7E\nHe49fgLAxAkTMAp8iIudFWN2nkBHV5dtu/fQokWL7FzW8uUIWzwGXR0Z22885ni0ggPHshOlO7dv\ni5eZkr51PZErlThOXceDJ09xcHDg1q1bDO3emQcTuyGRSJh36iYJTlVY8R9jlpqVPZlXz5XGro4k\npmdSbNp60tLTkclk/P777+xcNJsjfbwAGLzvMh6d+zFmTLb3TjFrKy4PaomzlQVPI2Jpu+sSb8Pz\nT3L/N1DQml+fEh4erp5SuHbtGm/fvqVGjRrqEW6tWrU0vCm0/O+g3Sr7lTAyMiQiPgmAd3FJGBv/\n8YUxNjYmIiEZIQRKlYqoxBSMjbP3WUdFRWVX7mxVD4lEQkRCkroNwMjYiMjkNCqXLMa16QMx1NfH\n1tYWAENDQ7IUSuLTsnfKRCSmYmxq8pHWhIik7G2OCWkZZMoV6gRyIyMjEtIySJdn716KSE7D2PgP\nrbGxMRFJKQBEJqWir6erniIwMjIiOiUNpUqFEIKIlHTNazY0VPcbkZSqcS/+zXywPVyxYgVjxoxB\noci58ys3ihcvXugdZ1r+H1PQoe6f+fNPmyI4ffq0sCpiIZpVrSisipiLAwcOqNvS0tJEnRrVRZWy\npUXFMo6iRdMm6kTyHj16iJbffitsilqIZlUqCKsiFuLGjRtqbUxMjHB1KiPqli8rnOxtRf8+vTXS\nqebMmimKW1uKRh5uwt7WRgQEBKjbAgIChL2ttWhU0VUUtyoqZs34Qd2mUqnEwH59hVMxG1G3nJNw\nKVNaREdHq9tv3bolrItYiKYersKmiLnYtHGjuk0ul4tvmzYRFRztRdUyDqJW1SoaSfWHDx8WVhZm\nollFF2FlYSZOnjz5le7yP4P4+HjRrFkz4eXl9VVS0FJTU8WlS5fEnDlzRLNmzYSpqakoX768GDp0\nqNi5c6cIDg7+Clet5e9AO0XwFQkJCeHp06e4ubmpS698ICsri+vXryOTyahXrx4ymYwrV67Qq1cv\n/P39CQ8PJzAwEE9PT+ztNR3dU1NTuXHjBmZmZtSsWTPHgomvry8RERFUr149R8pQXFwcd+/epVix\nYho2iJD9oLx79y6JiYnUqVMnR8J4REQEjx8/pkyZMjnSxpRKJTdu3EChUFCvXj309PQ02oOCgvD3\n96d8+fL/k2ljCoWCcePGcf78efXi19c894eFs2vXrnH9+nXtwtm/FG2a1t/En2VFqOWv5ZdffmHW\nrFns3r1bw6/gayKEICAgQGMe90usGrX89WjnYL8iSqWSqKioPOfmEhISSErKnqf91IpQLper52M/\nRQhBbGxsnnWrMjMziY6OJrcHnxCC6OhoMjMzc9WmpaURGxubq1alUhEVFYVcnrvlXHJyMgkJn1bB\nyEahUBAVFaXh0PW/yMc1v9avX/+n9CGRSHB1ddWwavT19f1bapxp+Qso6FzCn/nzT5uDff78uShd\n0lFYFrEQJeyLiYcPH6rbVCqVGDpksDA2MhRGhoZi5IjhwsrKSrx48UIIIcS1a9eEjZWVKGphLsq5\nuoigoCC1NiMjQ7Tzbi3MTIyFsZGh+OmnVRr9HjhwQJibmQoLM1NRp2YNDQOLuLg4UbdWTWFhZirM\nTE3Evn37NLQ/r1kjjI0MhZmJsWjTqqXIyMhQtwUHBwt3VxdR1NxMWFsWFVevXtXQTv3+e2FkaCCM\nDQ3FoAH9NQxGHj9+LBzsiwlLCzNRyqFEji26/4sEBAQIV1dXMXr06DyNWv5M4uLixLFjx8SkSZNE\n7dq1hZGRkahZs6aYOHGiOHLkiHj//v1ffk1atHOwX436dWrTtX4VhnVqxY6TF1lx4AyPn/gB2RsQ\n5k3/nks/zUGuVFCm4xBat2nLrl3Z9bMcSxTn57F9aVm7Kgu2H+B+eAJHjp8AYPny5Zzbv4uDc8cR\nERtPrWEzuHnnLs7OzqSkpOBQvDhnF/lQybkkI37ahr6jK6vX/AzAmNGjSH3zjHWje+P7JpRmk5cS\nEhaGqakpb968oWa1qtxe8T32RS3otGA9DTt0w8fHB4D23q3xtJDxQ9dWnH7wlCG/7CPsXXaptKtX\nr9K/R1duLhiLvq4OTWatZfLchXz33XcAVPX0YGQDD3o3qsmGMzfY8TCQm3cLbjT9V5Oamsrx48cJ\nCwtDoVBgZWVFy5Yt1fXL8iM+Pp5jx44RFRVFeno6e/fuxdbWlgMHDmiU0cmNiIgITp48SWxsLDKZ\njOLFi+Pt7a2RkZEXb9684dy5c2qzl9KlS9OyZUv1XHh+O85KliyJQqFAJpNhZGSEm5sbTZs21ShF\nlBtCCO7cucP9+/dJTk7GxMSESpUqUa9evc/OB6tUKi5dusSzZ8/UZi916tShcuXKn/23yuVyTp8+\nTWBgIBkZGVhYWNC4cWNcXFw+q01PT+f48eOEhoYil8spWrQo3377bYFiRmJiIseOHdMwe2ndujVW\nVlaf1X5Au5PrKxESGkrzWtklPbxqVWHcyk3qtuDgYGqXd8XU2JArj56iVCrVO4GUSiXvIqNoVj17\nAapZdU8O3tr+x3mDg2no6Yaerg4l7awp61icsLAwnJ2diY2NxchAj8plSyGRSGhauTy/3X+l1oa+\nfUvnyuWQSqVUcnLExNCA9+/fY2pqSnh4OE7F7Shlm/3H0qhiWYKD3/7Rb0gwExtmlxlp4lmOyOgY\nFAoFOjo6hISEUNW5JJZm2YtidVxKERIS8oc2LIxmnp2z/z2V3Jh/5PJXustflzdv3rBsxUq279hJ\n0dLl0bNyAKkMZXIso8eNp0mTZkyaMFbtEvYxT548YcnylRw8eBBrt6rIzLN35ikMrXl57TolS5Vi\n544deHt759DevHmTRUuXc/7cOazL10ZqYgVChTzuMIOGDqd3r56MHzsGJycnDZ0Q2dujFy1fyf27\n97CqUBeJkQUo5WRG7iJ94GCGDB7ImFGjKFasmMaOs6ysLJYsWcK6DRuJioxEJQQSqQ4G5lZIVXL0\npTBuzCiGDx+W48GQmZnJtm3bWLZqDTHxiZg6VUXoGiKRZ5CyaAXmRvpMGDOS/v37q9MAP5CcnMz6\nDRtYufpnMtHD0KECQkcPSVYaibPmUdLRAZ+xo+jWrVsOd6yYmBhWr/mZn9etR9fCFl3bsgiZLpKM\nZCZOmY6nhwc+40bTtm3bHAE+ODiYFat+4tctWzG2L4u0qCNIpJCewJgJPjT4pgGTJ45T35+P8ff3\nZ/HS5ezduxfz0p5gZgdIIPU9w0eNwdvbm0kTxlG1atVc/67+W7Qj2FwYOmQwIc+fMKJTS349dh5D\nm+Ls3LUbyDZobtKoIQuHdGfGhl0kZ2Ti+8RPbWvX0qs51jpKvmtUm8W7j1KveUsWLPwRyDbrHtCn\nF8uH9yAoIoafDp/n6XN/LCwsUCqVVPaoSPOKTtSv6Mq0LfsZNfF7hgwdCsDGDRtYuWg+C/p15Maz\nV5x8/IrHfk/R0dEhMTGRCu7lGPFtXZyLWTNu4342bNmmNs2ePm0ql48d4vuOzThw8zERSl1On78A\nZNvzVa9ShbldW2Ckr8fE7Uc4d/GyOkuhT8/uJAW9ZEDjGqw7ewv7ClXYuLngZTz+Cs6ePct3Xbtj\nW7M1xeq2xchSM3NDnp5CxN1ThF/8jYljRjFt6hT1l3jb9u2MGjuBYvW/o1jt1uiZFtXQZiXH4b97\nETF+15jo48PiRYuA7AC58MdFLF6+CtuG3bGt1gIdQ83MjYy4CKJuHeX9vePs2bVTbQatVCoZMWoM\n+46cwLpBd6wrNc1RyDA16i0xtw6R4n+d0yf+MIPOyMjgu649uOP3Ast63Shavh4SqYz0mFCSgnxJ\nevOEhFf3UaQloq+ry5gxo2nfvj2VK1cmJSUFr1behCRkUbROF8ydqyL5aMu0EIKkN4+Iu7kPG70s\nzp06obZNDA0NpVEzL9KM7ChSsxMmju4agVColCS8uE38rT14lLHn8IF96kwWPz8/mnq1RMexMhbV\n22Jkp/mwUSmyiH96hYTbe2jV5Bt+3bhevch35coV2nbohEn5JlhUbY1+UU0LSGVmGvFPLpBwew/D\nB/Vjwby56uvau3cvA4YMw7xKW8wrtUDXVDMrR5GWSILvWRLvHmDRgjkM/49BfV5oswi+EpmZmcye\nNZN7d27jWbkqc+bO1didc+nSJUaOGE5MzHuOHjtGrVq11G1JSUlMnfI9Af7+1G/YiClTp2o8zfft\n28evG9ZjbmHB7HnzNVKmIiMjmTJ5Eu/CQmnToRPDhw9X/7EIIVi3di1HDu7HvngJ5v+4SCMFLCAg\ngBnTppCYkEDfgYPp0qWLuk2pVPLjwoVcuXCesm5uLPhxEebmf5RSvnv3LgvnzkYhVzDWZ9KHPyIg\n+7VsxvTpPH5wj2o1azNrzhwND4S/m2vXrtGqbXvc+82niHOlfI/NSIjm6S/jmTBiMN9P8mHPnj0M\nGTkW9yHLMSmWv+9r+K3j+O9aSP/+/di0aROLlixl8U+/4DZoOfoW1vlqE9484fW2aRw7fIBvvvmG\nYSNGcfjiTZz7LETHMP8SJe/9rhJ2eBk3r13B1dUV73Yd8A1PplSX6Uh19PLUZSbGEHpmM0nPrlDS\n0YGwsDAEEqRFSlC8+QBMS1ZAppe7f6sQgohzmzCM9OXurRtkZmZSpXotZO7NsKnXJd8pBJVSQfiR\npZQ1VWSXbQkJoXqtOhRpNIiink3z/bcqM9MJ3zeLZjXc2bH1V+7du0eT5t9i124qZk75F2uUp8QT\n/vtUhvXpwrw5szl69Cg9+g7EvvNcDO3yT7vLjAvn3e9TWb5wDgMG9M/zOG2A/Yv4EitCLV+frKws\n7B0cKd1lKlblPl9NFiAjPpqHywZw5MBeWrdtT8XhP2FaomyBtNF+13mycTId2rfnzIXLVBy7CYMi\ntgXSxr28R+i++WzdvIm+Q0dTbuQvnw2uH4i6ewKV71HGjhzOrBXrcR6wAqlOwdK4ws9vxZlIXF2c\n+e34JQwcypMc9IS0iECM7MpgWtoDs9IemJasgK7xHw9dIQShh5bQukop3sfGcjcK7FsMLVCfQqng\n7W9TmdCvE3v2HyLWpjrWtdoXSKvMTCd46xjWLpnL2AmTMPpmEBbl6hZIK0+JI3jzSA7u2Um7Dp0o\n1nkeRsULVlo9430oodvH8eLZExwcHHI9Rhtg/yIKY0Wo5c/j999/x2fBSioMW1UoXdDpXzGJ8CVO\n3wbnrlMLpX3521wSnt1ArmdK1Qmb0TUqeJG8gI3jsZBloXBvgV2NgpfeFioVfkt7YqQno0iL0ViU\nLfh8oTIrA9+F3yGTSXAatAZDqxLq36eE+pMc9ISkt09ICXmOnoUtZqUrYlrKA7NSHiCR8GJ1fwQS\n3Mf/VuAHAkBKqD9R+2eTpYKyo3Yi+cyi28fEPb2M9OFeEpU6OPQp3Gcbc3MfljH3iFKZY9NmSuG0\nZ9fSu6EbCxfMz7Vdmwf7lVAqlSxfvpzu3bry448/auSOXrlyhfPnzxMaGsLAgQPw9/fX0GZkZDBr\n1iy6d+3CunXrcuSkXrhwgd49ezJixPAcFVoTEhLw8ZlIj25d2bNnT47r2rt3Lz26dWXihAnEx8dr\ntIWHhzNixHB69+zB+fPnNdqEEKxfv57uXbowc+YMjWq1kF0cbuCA/vTr24f79+9rtCkUChYtWkT3\nLp1ZtmzZPyoXdunK1VjValdonV3NVjx+4od17YKNqj7GuqY3yWnpmDt58nDlYNJiCl5l17hcfV6+\nfIl1pfxflT9FIpVi5FSN+JR0zJ3zf1X+FJmeAYYlXNG1KqUOrh9+b+5UmRJN++A+cBnVZx7DufP3\nGFg5EOd3hSerB/N03UjkSoGulSNZSbnnV+eFcQk3UrOUmFVqWajgCmBRrh7BYeEYeRb8IaTWejbD\n7+nzL9KaVm7F+g2byMrKKrQ2L7QBNhcmT57Eob27aVG7CudPHmPkyBFAdorJ4AhVBscAACAASURB\nVMGDSUtNpYqTA2WszGjYoAHh4eFqbe9ePXl8+zotalVi49o1GqPca9eu0b1bV+q4l8ZElcE39euR\nkpJtwqJSqWjZogWxwa9pWsmNKZMm8ttvv6m1u3fvZvLECTTxKEt8aCAtmjdXb2RITU2lwTf1McpI\norazPT26deXKlStq7eLFi/nlpxV4VXLG98YVevXorm579+4dDRt8Q2kjCR7WxnzbwosXL16o20eP\nGsnZQ3vxKl+SI7t34DNx4le+219GWloaTx49wMajfqG1ysx0dPQNMS9ZrtBaVVYGJsXKUK77NEp8\n05lHq4YS/+pBgbQCgYVrjRwLWgVCIqVopWZftKVWJSRYeDbL//QyHUxKuGFfvzOuvedR7YfDuA9c\nCroGoKNPwLYpPJzXloAd04i4toeUUP9cS6OrzyeRIJfLsahQ+B1xEokUeXoKRco3LLRWyDNBKsPY\nsWKhtQbWJZEZW+Dr61tobV5o07RyYf++fZzZuQEXp9I0qVcLj2btWL9+A2vWrAGgW7tWjBvUBwDf\n5wHZo9LevVEqlRw6fITEZ7cwNDDAuaQDI2cvYerU7NfQgwcPMLZfd4Z0z95Oe+XuQx48eECDBg0I\nCwvjzZtArm1fjVQqxdBAnz1799CjR4/sa9q7h/ljB9OttRd9O7SmRIM2hISEUKpUKR49ekRRU2MW\nTcheBU1KTuXAgf00aNAAgH17dvPT96OoW7ki3zVviHmtluo0rUuXLlGvcgWmDMwOuq9Cs/M53dyy\n567279/P/W0rKWFrTW0Pd5qMmMbyFSv+ok8ib+Lj4zE0MVOXYS4M8rRkdE3MP39gLijSktEzzS4q\nWLxee4xsHHi2dQZlWg3Cvk7+o2llRir65vkviOWFSpGFoWXBiijm1MrRNck/j/dTJBIJhtaOyHT1\ncWw5DONizmQlxpD89glJb/2IeXiGzPhIrDybULr9hNz7zcpAx7hw/UJ2ZoBURw+pbt6LeHmhyEhB\nx9D0i70ddI3N89zR+CVoR7C5YGNjw/0nTwF48OQZNtbWREREsGDBAgYPHszTl6/JzMwiNS2N568D\n1aksUqmUokWK8NAve9rggd9zbGxsPzqvLQ+fvkClUhETG0dw2Du11sLCgrT0DF4HhwJw/6k/1h9p\nrW1suf/0BUIIAkPCSE1LV1cPtba2JuRdJNGx8ahUKh6+eJWj3wfPXgLwyP8VFuZm6kR0Gxsb/N8E\nk5qeTpZcjt/rII2KpjbW1tz3z87Hvf88oMDVTv9s9PX1Uci/7FVOqqOLSpH7luHPanV1USn+6LeI\nSzWqjPmF0Eu/8+rAinxHdVIdPVTyjC/qVyLT+eJrlkhlCMUXvvZKZYj/9Ktnbo2lZxNKtx2Lx5hf\nqTx5D3b1Oufdr0yGUBa+X6mOLkIpL9SUxB+X++WfLWQ/yL5mlox2BJsLP69dRxtvb+au/IW4hEQO\nHDyIj48PAwcOZOzYsdy+dZMydb1QKBW0adsWL69ss2qJRMKWrVtp27Mn1pZFScvI5MzZs+rzjh49\nmm9PnqBMA2+SU1IYPWYM5cplv6aamZmxctUqan3XH6uiFujqG3Dh4iW1dtbs2TRp3IijLTrzPi6B\nZcuXqVOtXF1dGTFqFO5temJmYkwJh5JsHjtWrV2+chVezZqxbt8x3scnsH3HTvUTvmnTptRt0Ain\n1n3QkcmoXacOXbt2VWvXb9xEh/btmLp2OwnJqRw9fvzPu/GFoEiRIkglEtJjIzC0/PwurY8xMLcm\nIyEGRWYaOvqF87fVM7Uk5d0bhEqlziE1snGgyriNPNs6Hb8NPrj3mZPr4pdM35DkkBc5fl8QJFIZ\nKSHPvkyro0NqeACWHoV/XZfpGZAWEYiJQ87pFB1D03wXvnQMTEiLCMS8bNE8j8kNqa4+Ul19Mt+H\nYmBduJpoOiZFUaQlokhPQsfQrFBalSKL5KiQr+oYpw2wuVC9enVeBwby9u1bHB0defjwIVevXsXf\n3x+ZTMbefft58+YNMplMo34VQMuWLQl884Z3795RunRpjd0wxsbGXLp8hdevX2NqaprDyrB///60\nadOGmJgYnJycNGwD7ezsePTYl8DAQKysrLC21nzV/OGHGQwYMJDk5GScnZ01tkq6ubnxIiCAoKAg\n7O3tNXb3SCQSNmzcxLTpP6BQKChTpozG61XdunV5HfiGkJDsP7xPbRD/LmQyGX369ObszSM4eRcs\nfegDyeGvMTExJfLeGUrUK9xCV8q7QAz0dIh7eRfLcn/kP+sameIxZBmvD/3Ew5WDqThoCUbWmhkx\n8rh3KBMjSY0Mwtgu/7zbHKTGkvTqHvLUBHQL+dotS48n7qE/JZr1L3B6F2RvHiA1jsT7R7Cu3qpQ\nr93KzDREehLJj45jXrZ6oa43My4CmVRC4sPjGHgNL5Q2IzoIQ2MTEnzPYVWrY6G0ic+vUalSpa8a\nYL/qFIGrq6vE1dV1naur601XV9eLrq6uZT6v+mdibGxM+fLlMTAwYOTIkSxfvly9r1wikeDk5JQj\nuH7AwsICd3f3HFsNITswuLq65giuH7CysqJcuXI5PFkB9PT0KFeuXI7g+gF7e3tcXV1z3YduaGiI\nu7t7nnvqS5YsiZOTU65fIlNTU8qXL/+PCa4fGDViOJG3j6PMKtxrd/TNg/Tv3YP3tw4jcnE8ywuh\nUhF7+zAD+/Qk9tbBHO1SmQ4uncbnuvillGcSfe8kvXv2IObWoUJdb1ZyHPEB92jVqhXRdwv3BpH6\n7jUiNZ4K5csT9/TK5wUfkfDyDo4OJTCQyAs9en7/8AwNGzch5e0TMuMjC6WNf3CUrl27EP/kPMrM\nwjmJJT88yqC+vUj1PZH9gCggQgjSfI/jM250ofr7HF97DrYdoP/y5cs6wBRg+Vc+/19GfHw89+7d\nY9GiRRpWhJC94u/n58fz589znSeKiori3r17ajvDj5HL5Tx69IjAwMBc+w0NDeX+/fs5Uqkge1fV\n/fv3CQ0NzVUbGBjIo0ePcrUkTEpK4t69e0RFReVoE0Lw/Plz/Pz8crVYjI2N5d69ezlSw/5uXF1d\naeHVnJe/zS/wlyn0yn6kie+YM2cOpe1tCDr2c4Hm+oQQvD2+jpJ2VsyZMwe91BjeXd2X67HF67XH\nvfcsnm2dwbub2UE8aM8CmjdtwqyZM0h5cYOYJ5cLdL0qeSZvfpvJsKHDmDd7Ju9v7CPprV+BtIq0\nZN7umcucWTNYNH8OEafXkR6T+9/Op2TGRxJ+dAVLFs7jx3lzCT/0I/LkuAJpU8MDeH9lBwvmzsJn\n4gTeHZyLMivn33NuJAbcJeXpBebMnMF3nToSeXghooCpgXEPTyF5H8isWbPwdHcl5mzBPluA2Gs7\nsDXVoXXr1gU6vqB87QBbDzgN8PLlyztAta98/r+EGzdu4OrqSv9+fZkxYwbdu3dXj+zkcjltvL1p\n26YNXs2b07NHD42gdOjgQdzd3RkyaCBubq4aKR9JSUnUrVOHbl26UKdObSZPmqTR79qff6ZSJU8G\n9OtLxYoVNAJpWFgYHh4V6d+3D5UqebJm9WoN7dQpU6hTuzbdu3ahTu3aJCYmqtv8/Pxwc3VlyMAB\nuLuX48CBA+o2lUpF71498WrejLberWndqpVGgL548eJ/tP1xdXHh+vXr/+Xd/bps37KZEoZy/Lf+\ngDw9Jc/jVEoFb89sI+bqbi6eO4OpqSmnjh9BGubLm4Mr8h0FK+WZBB1aCSEPOXX8CCYmJlw8d5qE\nW/sIPbct14WtD4tfIRd3c39hV+x1M/ht+1bs7Ow4e+oE4UdWEHn7aL4j6KzkOAI2T6SuhzOLf1yA\nu7s7e3f/xpsd04l9dj3f4JH+PpyADaPo07UDw4cNo1GjRqxcsojAX8eR/PZpnjqAlPAAXm8aw9yZ\n02nVqhW9evVk9NCBvPl1LOnRwflqE1/d5+2O79m6eQNVq1blh+nTaNmgFiE7fMhKjMlTJ4Qg7vE5\nIo8u4viRQ5QsWZINv6ylvL0J4ftmokhPzlurUvL+1n6Sb+7g4rnTWFhYcPTQfopmhBJ9amW+C4sq\nRRYxFzcie3uDC2dO5TCp+W/5qju5XF1dNwL7X758eeY///8WKPPy5ct838P+aTu5qlatwtQJYzl0\n9ARyhZxHT/wICMheSd+xYwebN27g/LGDKBQKajduwbwFC2jVqhVCCKytrTl94HeqVanExq072Hvk\nBOf+k/g/f948nj95xM4Na0lITKRinUacPnOGChUqkJCQgKOjI0+uXaCUowPT5/9IZHwymzZvBmDw\noEFYmRiw4IcphISFU6FeE4KDgylSpAj+/v40adyIZ9fOYWFuTp+R43F2r8iMmTMB8GrejHbNGjK0\nTw8e+PrRvEtvYmPjkEgknD59mskTJ3D7xH50dGR4de1Hn4GD6dMnOw2tnJsry37w4dvGDTh06ixz\nVq3nse+Tv+FTyZvMzEwGDxvB/v37sKvaFNtabTC2LYlUpkNGYgxRd08Reesobi5lObD3d4oX/yPd\nKTExke69+nDl6jWK1WiJdc1WGBa1A4mEjNgIou+eIOLOSb6pX49dO7ZpTLG8e/eOjl268fzFS6xr\nemNdtQX65tYIlZK06GDe3zlG1INzWJibUqF8efbu3avW+/v70/67LkTHJVK0RlusKzVB17QIQpFF\nSvhr4u4e4f2zmwwfNoxFPy5QF6mE7AFAl+69yJLqY17NG8sK9dExNEWZlUFyyDMS7h0l4Y0vs2fO\nYvy4MRrTPocPH2bgkGHoFimGaRVvLFxqINM3RJmZTmLgQ5IfHCM9+i1rV6+iW7duGvd53S/rmfz9\nFEwd3TGp0hrTUhWR6RqgyEgh4cUtkh8eR5qRxG/bt2j4WQghmDl7DsuWL8fCuTomlVtjXNwFiY4e\nyrQk4p9dJuXRCcyNdDm493cqVfrDU0IulzNi9Bh27thJkfINMK3cEgPrkkikOihS4kh4eoGkhyco\nU8qRQ/t+15i2S0lJoVffAZw9ewZzj2aYebRAr0gxkEiQJ0aT9OQsib5nqFG9Gvt+/y1HiaZP+ZKd\nXF/bOHuZi4tLp4/+PySXYxq6uLjM+uRn5T/JcLtUqZLC/+FdMdVngnj5+J6wtLRUt61cuVIM7tdH\niJQ4IVLiRKf2bcX27duFEEIoFAqhq6srUiLeCpEUI66fPS6qVK6s1o4fN07M/2GKEAlRQiREiepV\nq4grV64IIYQICQkRNtbWQhETJkRchNi1ca1o366tWtuxQ3ux85fVQsSGC2VMqLCztRVv374VQghx\n/fp1UbWSpxAxIULEhIiF0yeLMaNHq7XVqlYRV47sEaqoIJES9Fzo6uqqjaR/++030aHVt0IVGShU\nkYFiSJ8eYvny5WqtjbW1eHv3slC9CxAvrp0RDiVKfP0b/pUIDw8XM2bOEsUdSwtdfQMhk+mIIpbW\not+AQeLx48f5al+/fi3GjZ8grIsVFzq6ekJHV09Y29mL0WPHiVevXuWr9fX1Ff0HDhYWltZCJtMR\nuvr6wt6hlPhhxkwRHh4u5HK5GDlypHBzc9M4l0qlEjdu3BAdO3cVZkWKCqlMJvQNDEWpsq5iydKl\nIjY2Ns8+lUqlOH36tGjWopUwMbMQEqlUGBgZi3IVK4n169eL5OTkPLVZWVli3759ola9BsLIxExI\npFJhaGwqqtasI3bt2qVh1v4paWlpYsuWLaJC5WrC0MhESKRSYWxqLho0aS6OHTsmFApFntqEhASx\natUq4eRWXugbGgmJVCpMzC1E63YdxOXLlzUKgH5KZGSkmDN3nihRykno6RsIqUwmzItaiR69+4n7\n9+/nqRNCiKCgIDFx0mRhY19C6OjpCZmOrihqbSeGjRgl/P3989V+zEeG2ytziWENRS4x8WsH2A4u\nLi6//ue/a7m4uJwooO4fVdFg+rRpolqVKmLdquWiXp3aGsEqMDBQWFtbi7k/TBXTfCaIYsWKiYiI\nCHV7r549RfMmjcS6FUuEezk3sXzZMnXb7du3hZWVpVg2b7YYOWiAcHV1EampqUKI7C9bg2++EV07\ntBNrFi8QJYrbi/0fVS04eOCAKFHcXqxZNF9069he1K9XT115IC0tTZRzcxPD+/cWy+fOENZWVuLm\nzZtq7YoVK0Q5l7Ji7eJ5wqtRA9Gjezd1W2RkpLAvVkxMGTNMzP1+vLC2stIIAuPGjRV1qlcVa3+c\nLWpUqSS+/37yV7zTfy75fWE/p/tvtHmxbt06YWtrKy5evFho7X/Tr1b7dbR/e0UDV1dXCbAW8PjP\nr/q9fPkyoAC6UvyDpghUKhUbN2zg3r17eHp6MnzECI2V+WfPnrFu7VpkMhmjx2iaKcvlclauWEFA\nQADffPMNPXv10nhFu3HjBju2b8fMzIyJPj4aifspKSksXbKEd+/e0aZt2xwT7idOnODI4cMUK1aM\niT4+mJr+kYMYHR3NsqVLSUxMpGevXhrG0kIIdu7cyZUrl3FxcWXs2LEaWQpv3rxh1apVKBQKhg0b\nRoUKFdRtSqWSdevW8ejRQ6pXr8HgwYM1Xle1FI6LFy/SrVs35s6dy+DBg//uy9FSCLRuWlq0/At4\n9eoV3t7eeHl5sWzZsq++sKLlz0HrpqVFy7+AsmXLcvv2bfz9/WnduvVX3fuu5Z+FNsBq0fI3YGFh\nwcmTJylbtiy1a9fm9evXf/clafkT0AZYLVr+JnR0dFi9ejVjxoyhXr16XLp06fMiLf8qtAFWi5a/\nmaFDh7Jr1y66du3Khg0b/u7L0fIV0QZYLVr+ATRu3Jjr16+zfPlyxowZg0KRt+2hln8P2gCrRcs/\nBO3i1/8e2gCrRcs/CO3i1/8W2gCrRcs/DO3i1/8O2gCrRcs/FO3i178fbYDVouUfjHbx69+Ndo+e\nlv8ZhBDcvXuXTVu2EvQ2lCy5HDsba7p17oi3t3e+W1KFEFy4cIFtO3cR/i4SlRCUsLejb68eNG7c\nOF//BYVCwfHjx9m99wCR0THo6OhQ2rEEA/v3pWbNmvmWWsnIyGDfvn0cPHqC97FxGBgY4FbWiSGD\nBqg9IT4sfnXu3JnWrVvz+++/Y2FhQVJSEjt27OD0+cvEx8djYmKCZ0V3hg4eROnS+Zekef/+PZs2\n/8q1m3dISEzE3MyM2jWqMmjgAOzs7PLVhoaGsn7DRu4/fkJKcgoWFhY0bViPvn375lkx4wMvX75k\n3foNPH/xirT0dKyKFqVNKy+6du2KkVH+9dEePHjAhk2/8vrNW+RyOTbWVnTp1J527dqhq5t3KRwh\nBFevXmXz1h2EhIUjhKB4MVt6de+Kl5fXn+qtofUi0PI/wYEDB5g2cw4R0bEYV/RCt2gJkMpQJMeS\nFXAZkRzNuDGjmTzJRyPQCiHYsGEj835cTKpCgn65JuiaZwcYeWIkmf4XMJKpmDbZh6FDh2gES6VS\nyaLFS1i+6icwtkLm1BAdU0uESokyPpwM/7PYWRVh/uwZdOrUSeN609PT+WHGLDZu2oyeTRmkpesi\nM7JAKOUo3geR/vwcrq5lWbJgLo0bNwayA/m4ceM4c+YMnpWqcPLUKYxKVoIS1ZEZmCAUmSijX5L2\n4hI1a9Zk2aIFVKlSRaPf4OBgJk6eyvHjxzBxrg3FPJHqGaHKSoPIp6S+ukHT5s1Zvnghzs7OGtqn\nT58yYdIUrl67ipFLAyTWbkh0DVBlpiB594i04Id07NiRpYsWYmtrq6G9fv06E7+fjp+fH3oujZAW\nLQMyXVQZyUjD75IVGUDfvn1YMG+OhokRwPHjx5k8bSYhYe+QOTdCauEAEimqtHikYbcRSRGMHDGM\nGdOn5Qi0W7ZsZfa8hcSnZiJKNUBqlv3ZqlLeIw25hiGZTPaZwJjRoz5bc0xr9qLl/yUzZ89hxc/r\nKdpkOCZO1ZBIco5I0qMCSby8Cc8yNhw/fBADAwNUKhUDBg3hyLmrmDccgmGJ8jm+ZEII0sOek3j5\nF7yb1GPL5o1IpVIyMzPxbteRB68jMKk7AANbpxx9CqEiLegBSVd+YcywgcydPQvILkfUqKkXYZlG\nGNfqhV6R4jm1SgUpr26Qcm0jy5csZPCgQQCEhIRQqUo1EhKTsPIah4lL/RxalTyDlOcXybi/iz27\ndtCqVSsAnjx5QqOmzcGpCcYerZHlUnVVmZlCqt8pVC9OcubkcWrUqAFku4C17fgduh4dMHJrilQv\nZ705ZWo86U8Oox/5kGuXL6gD9K5duxk0bAT61Xph6FwPiSznaFORFEXmo73YSt5z9eI5tcvc4iVL\nmbNwCXo1+qHvWBWJNGe9OXlcCPKHv1GhuClnTh7D2NgYIQQjRo1h5/5j6FTti24x91w/W0XMaxQP\nt9O8TmV2/7Y937ccbYDV8v+On1avYcaCpdh1XYSuSf7loYVSQfTxRdR2tuLQ/r2MnziJHUfOYd1+\nNrLPlO9WZaUTc2gmPbybsHL5Ujp814XrL6Io0sIn14DxMYrUeGIPTGHm5LEMHzaU+g2b8FZpjdk3\ngz87asqKDyfu4BS2b15Pw4YNqVK9FqnF6yOzdiL61GKK1O6Jmce3uWozIl6QdGo+504dx97enirV\nayKr1htjlwb59gmQ9uYOmTfWc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cK/aTfhY/MXg4YME+vXr68we6GkpCRht9uF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\nYCVJkmqJbLCSJEm1RDZYSZKkWvL/Klgkc/zB9vEAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x8e562e8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"a = Affine.translation(y0, x0) * Affine.scale(2, -4)\n",
"fig = plot_transformation(basic, a, connector=33)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Now for the rotation."
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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/OoLi+AFR9YSoSCSiTFlz7oRdU3qMzMxM7t68nmtyntxITU1l2/ZttHBV/ixG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\nj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379EAgEGBoacvHcOWbPmcvqkV2xtLOntEMVhGIJiW+iCbp0mobe3gRevvRDVvz6kiLD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\nIBA4jBAOgUDgMEI4BAKBwwjhEAgEDvM/LeQ+tJLThegAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x8ed0668>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"a = Affine.translation(y0, x0) * Affine.scale(2, -4) * Affine.rotation(30)\n",
"fig = plot_transformation(basic, a, connector=33)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Dang.\n",
"That looks weird.\n",
"\n",
"What's happening is that the rotation isn't being scaled properly.\n",
"\n",
"Let's try messing with the order of operations again."
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
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mVtYFWbnzGN0GjOLo7h20rlqUZhUK0rpqUc4f2M7EcaO5e+c29vbqQ1Pv3r2j\n/4CBeM9dS0H7kjpKB6McpvSasZILv11n+/btmbZF+G+JMX0h2zE0NMTevhiNG9Zn1JhxbAzYgpGW\nY4llMhmeXt3p5NEZub0dLs2aUqRIEWxsbHBwcMjorSqVSg4fPsyZM2eIi4tjZ9Au5ixZrXFjlYWl\nJa9evsiYtNVmxC+TmT5hFG5N69F7wFBaunbE5M/Dz1QqFefDTuK/eilR799w6GCoxgqjKVOnssF/\nE0sD91PY/uMvnPBnT8iZy4z8hWw16gNo3LI9fgun8fj3+xpLNj+np6dHTcfGXDh5iHo1qjBz5gyM\njIzU3ktCQgJbt25l7QZ/Xr18RVxsDCVr1M804H9iYGSMc9cBLFriS8eOHf/f/MJ/Q/T0hWwlNDSU\ncuXKYW5uhrGxMdVr1NQa8D9JT0+nv3dvatSsyfDhw3F1daVq1aoZZ/AsW7aM4sVLMGr0WOJTITo+\nBT09GbXqOmqUVaZcRVKSk7l57YrO+qRSKROmz2PK7MWcPHqQOhWL0aZRLbzau+BcvQyzJ43GrU0L\nzpwJ01gZFBoaymq/tSzZtDcj4AOkpqYg09c9IW1impOBY6cz1rsT4U8f6cynUqnYttaXO7+dZcKE\n8RgbG6sF/PUbNlCwkA3L/LdQsWVXvKavQCmV0aB9d51lfqlCXWd+f/iQe/fuffUzwr9L9PSFbOHJ\nk49DIbdu3WLJkiW4uLhw6tQp2rdvz4hRY/Hq0VPtgm+AO7dvM3HCOOI/xLFvn/oySZVKRe/evbn8\n2zUWrFhPxSoffxH4zp+FS2tXrT15qVRKZ6/ebFi9jIUrN2Ta3jqODalZ15EWDarh2dmdSpUqYW1t\nTdmyZTPKTk9P5+DBgxw+fJjomFjCwsLo7fMLllb51MrKbZGHyPdvSElJxsBA+x21zdq6k5KUxED3\nZrTq1J0WHT2xyvdxhZFSqeTq+VOEBPoR8eo5x48e1djf4Ovry4w58/BZtpUCRT/+wklLTSH6/Vvs\nSpXXqE8XPZk+RUqVR6FQaNzSJWQNIugLWVpSUhLz5s1j0aJF+Pj4sGXLX0M59evX58SJE0ycNIlZ\nM6bSslUbbO3sSE1N5eyZMB7+8Tt9+ngzduwYjYnaqVOncv3mbbbuPkyOz4ZY4uM/YGqq/svjc+6e\nPWjlXJvA9avp3L2PznwqlYpp40eQP19eRowYoXb2jUqlYvXq1cycNQtTs9w4NmmNsV5OIiIjcWzS\nSqMss9ykCmGvAAAgAElEQVQWlCpfmVOH9tKoZTuddbZ27055hxoEb15L9+a1yGVugYWFBe/fvSGP\npSWDBg6gS5cuGmftX758mcnTpjN85U7yFPhrEjc9PR2pnjTTI6a1kerJMl01Jfy3RNAXsqzQ0FAG\nDx5MmTJluHLlisZ5MwBlypRh544dvHz5kqCgIN68eUsOY0OG+gyhZcuWaidW3rhxg7t37xIbG8v8\n+fM5dOY3tYAPkDNnLiIyWX2Ty8ycDdv20LV9cx7+oaBn38EUtLFTy3P/zi18508n6t0bQkMPaAT8\nYcOGsz/0EBPmr6HMn+fi7N+1hRr1nDEw1N6Td+vci02rF+Hk0lbjCsbPFSleiqG/zuXF499p2dSZ\nJk2aYGlpib29vdo3jAMHDrArZDcRkZHcuX2HBp16qgV8+Hi5i0xmQPS7N5h/8e0jM+/Dn2kMXQlZ\nhwj6QpajbSjn/1OgQAEGDRqk8bpSqSQwMBBf36W8ev2aKlWr8/TJEypXq0mBgpqHstVzaoR3t46M\nnThDZ3AtXNSeXaGnWL54Lq2ca1GqbHmKlyiFVCrhzs1rhD9/Rp8+vRk5ciQmJur7CZYvX87+g4dZ\ntuUAOXP9dbxDUkI8JiY5vqwqQ22npmzfuIol08cyZPwsradmwp87ehfPID05nlGjRmnMd6xdt46J\nkyZjmjsPDo1aYWldgpeHjzCoueYxDRKJhGpNWnN27zaa9xiss22fe3rvJsnxsdSqpXlZjJA1iKAv\nZBmZDeV8i9TUVDw9u3Ff8YAho36hgXNT9PT08OzQio5dtE9OlqtQCau8+Th+JJRGTVvoLNsqbz4m\nTp/HwKGjqe9QmgZ1a2FlZYVbq2Y0bdpU7VCyK1eucO3aNeLj45k2fToL1u1SC/gAprnMiI6M0Fmf\nTCZj5rJNjOzTkXH9u+DZfzilylVWG3r5/d4ttvgt4s3zRxw5fEjjs5s4aTJrN2ykxxRfipapCMDd\ny2exlZchh469B46uXVg81IuGnXpilMkvpU9ObV9P/359M/02Ivy3RNAXsoSvGcr5uwYMGMCb9xFs\n33dMbR18THQ0efLqviZw4NDRTBw7jHIVKmGdv6DOfEqlkmkTRtKmbVumT5+ulqZSqQgICGDhosW8\nex+BQ826vH39ijz5ClKitOZxBVVrOzJ/0khiY6J1bv7KZWbOEv8QdmxazZRhvTE0NMK+ZBmMjIx4\n8sd9ot6/xbtPb3y2+JMzZ061Z7dt28aa9RsYvTqIXBZ5Ml5PSUrCIJO9B4WKl6Jc7Qb4/dIf71mr\nMDDU/Uv4SOBK3j+5z4D/Z8+A8N8SQV/4T33LUM7XuHPnDnv27uPUpdtqAR/A2MQkY0eqNo2ateDR\nHw9o36Ih83zXUK1mbY3JzFcvXzB1/EgSYqPZHHpALU2pVNLH25sz5y7Sd9gEatRriJ6eHtPHDaFG\n/UZa67SwtKKmY2P2BwXi3kP3JSWGRsZ06T2EDt360c6xHDUrlcbW1hbb3p44OTllfMNQqVRcvHiR\nc+fO8eHDB/zWrqPT8KlqAR8gh5kZMRFvddYH4DFyKhumjGBe3/Y06zaA8nWc0fvsm8zT+7c4tW0d\n75/c5+jhQxqnkgpZiwj6wn/iew/lfGn58uW4d+2hMVELUKlKVU4cOUS9BtoDMID3oGHkL1iIccP6\no29oSJt2ncibLz9JiQmEnTjKxfNhdOvWjVkzZ2qsDBo7bhzXbtxh1dZQTHJ8tjIoLhZzC8svq8rQ\npfcgBndzpWLVWpQqV0lnPpVKhe+McVSuXJkpU6ZopG3evJlZc+YRGRVNuTpOfIiNISE5lTLVNS9w\nKVK6ArGR7wl/qKCgvfZjk2UyfXpOXsTlo3s5vm0tW+dNoFCxkuTMZca7F09Jjo+lf7++DNi2QQT8\nbEAEfeFf9yOGcr60ZetWQk9e1JrW2asXzRxrMPKXyRm7ZbVp5dqBlm3bs3NrAFPGjaBps6aYmprS\nukVTdmwNUNtNGx4eztOnT3n37h0rV6xk57GragEfwMjEhIQP2q9CBCheqhxjpy9meK8ODB43jYbN\n2qL/xSmhr8KfsXrBNCJePuHo0SNqaSqVCp+hwwjZH0r7Qb9QtkY9pFIpIX6LMLPMq3XyVybTp37r\nTpzcuZHOo6drpH8ikUio1qgVVZ1bMr1LU9o416NChQpYW1tTu3btjDF8lUrF+fPnOXLkCNExsZjl\nyomTkxN169b920s/hR9DBH3hX/OjhnK+lJqaSmxMjNbVOQCFbOyoXa8Bs6aMZ/KsBZkGo7S0NPbu\n2oaPzxAmT56slqZSqdi/fz++S5dx6dIlChctxrs3r6nr7KK1R1/RoQYnDu2jdaduOuur18gFc0tL\nVi2YzrLZE3Fu7kpB28KkpKRw68p5bv52AU9PT6ZvXq+x3n7O3LnsP3yMMat3kiPnXz3uxPg4cubO\n82VVGZzaeTLZswVyh1o4NNR9FaJKpWL3yrnktTRnypQpGpO1W7duZdK0GUTFxGFbvREGOXKR8uwV\nqzb0xNRIn19/GUvXrl11li/8O0TQF364Hz2U86VPwUipVOpcRTJ70XLat3Bm8rgRjJk4XWt7YmKi\nGd6/J6bGRkyYMEEtLSUlhe7de3Dl6jU8eg3i10UbMDIypmOTmrh69NBaZ+MWbvjOnsjL508p8MXa\n/s+Vr1ydZQF7uHH5PD7d3XB3dyeXWS483d3oGLJdLdg/fvyYBw8eEBcXx/QZM5jov18t4AMYmZiS\n8CFWZ31mllb4LFzHAh8vXj99SAM3T43VPO9fPufA+iVEPr7PyePHND7XCRMnsWqdP7V6jsemfE0k\nn+9N6OzDi1sXGTlhMjdu3mLunNmi1/8fEkFf+KH+jaGcL0mlUooXL8GVS+epXrOO1jxmZubs2HeU\nYf17UatCcdp7eNKoWQtMTXMSGfGevbu2s3/PLjzc3Vm0aJHaEkyVSkXPXr14/vod63Ydw+izs/2j\nIt9jXaCQ1jqNjE1wde/OnAnDmOe3FdlnG8e+pFQq2blpNV7dvVixfLlamkqlYt++fSxcvITr169T\nRF6GiLevsS1ZHquCmoeylXKoxYaZY3DrN1JnsLUtUYZxfkGErFrAL+3qUaZ6PQoUlZOensbLB7d5\ndPsanp6eTA1Yo3HcxZo1a1m9fhOtpwVibGahUbZEIsGmfA2spgYQOLEbdoXtGDRA92S18GP9o6Av\nl8urA7MUCkUDuVxuD2wAlMBthUIh/lV/Yv/WUI4u3t592LRulc6gDx8D/9rAnTx++DvTJo6lX7dO\nWObJg5mZGS7NmjL/3j21naVKpZIPHz5w8eJFzpw9z6a9p9UCPny83DwlJVlnnb2HjGV0/66M6uvB\nhDkryG2pOewSGxPNvF+HkRIfxcIF6tc+pqen07dff46cOIVLt/54Tl2BgaERswd1pX4bD611yitV\nQyrV4/5v5ynloHvTVN6CtvSZsoiI1y+Z0MmZKsVtsMqXhw71u+Hmtkdto9nvv//OjRs3SExMZPS4\ncTiPWqY14H/OKKc5Tj7zmDy5N969e2d6q5nw43xz0JfL5SOBrsCnmakFwDiFQhEml8tXyOXy1gqF\nYvf3aKSQffzbQzm6eHl5MWXqVK5fvULFyg6Z5rXOX5BXL56zcOECPDzUA+enpY/Lli0nKGgnUqke\nKlT0H/4rxlo2KxUrWYZrF89S0Kaw1rpkMhmzl23Ed/ZEOjhXoY5TU5xc2pDLzJwPcbGEHdnPiUN7\nad++PUt9N2t8dkOHDefCtZtMWBeC8WcTxR+io8it46gEiUSCi2c/AuZOYOzqIEx17AP49H73r/el\nabNmGt8wAPbu3cvcBYu4efMmhUpX5kNMFFKT3OQrVlZnmZ+ztC2OecEihISE0KGD7svahR/nnxyt\n/Afw+c3UVRQKRdiffw4FnP9B2UI29OnY4ytXrnDlyhXGjx//nwR8AHNzc9avW0evzm7cuPabznxx\nsbH06tqOihXK4+7urpaWmJhI+w4d6NjJA0vbEuw7d5cDF+4hkUhp4eautbx2nXuyM3Btpm2T6esz\ndPwMgk/eIJeZObN+GcLahVM4sG0tVcvL+f2BgjV+qzM+u6SkJMLDwzl9+jSBm7cweN4atYAPoG9o\nSGqy7m8YdZq7UbGOM7P6diD84QOteT7EROM/bSQxz3/Hf/06tTSVSsWQoUPpPdAH08rN8Fx9jMYj\nF2Oaz5bSjdtn+n6/ZFe7OduDgv/WM8L38809fYVCESyXyz+fjfp8sDAOEAt2fxL/9VCOLq1btwag\na/sW1HVsSJfufXCoVhM9PT1ePH/KtoANbN20Hjc3V5YsWaI23p2WloZbu3akSw3ZdvhixkFozx4/\nxNzCEtNc2v9716zvzPwpYziybxeNWrhm2j4Tkxw8enCX8ePGMnToULW0T0sflyxdxt49ezDJYUpi\nYgINXDtrTNQCFC5ZltuXwihZpYbO+joMGouFdQHmDvQgf+Fi1GzWFjOLPCQnJnLv0il+O3kIV1c3\nlm05obEyaNLkKQSHHsd15maMTP+qP/lDLCZmuvceaH3fZpZEKCL/1jPC9/M9J3KVn/05JxCtLZNc\nLncEHL94Wff3TSHLyipDOZlp3bo1jx89wt/fn0mjfVAo7qNSqchtYUFnDw9OnTpJyZKat0KtWrWK\n91Gx+G4MUTupUyKVQCZ3wOrp6TF7+UYGeLZBIpXi7NJGa76kxAR+HdqL/FYWDB6sfphZSkoKPXv1\n5vip0zi388R3/wVMzXLTo35pnNt7ai3P2a0r0/p0oE2vITovXJFIJDTq4EWDth4cC9rEDt8ZODg4\nYGpqSpMa1dnutxQrK6uM/DExMbx8+ZL3798zb/4CuizdpxbwAWSGRqQlJ+n8PLRJTU4kx1ec4yP8\nLT5yufzLmHtSoVCc/DLj9wz6V+VyeT2FQnEaaAYc15bpz0aoNUQulxcGhnzHtgg/2MGDBxk0aNC/\nuirnW5mZmTF48GAGDx6MSqUiPT1dbTUOwB9//MHyFSs4dOgwsbGxxMbGMndlgFrAB8hjlY+Y6Gii\nIt5rnYQFKFG6HEs3BjPSuzPb/FfRrnNPqtV2xMDQkHdvXnFg1xb27gykZYvmrFq1Um35o1KppKtn\nNx6/fs/MrUcyJopTkpNITkwkj7X2s4AKFCmGbYlS7F2/lLZ9hmX6eUilejz47Tz9+/Zl9qyZamkq\nlYqzZ8+yyHcpoQcOkMvSivjYGGyr1CNHbiuNsqyLl+fptdOUctL+y02bVzfP4uGs+xuJ8E0WKRSK\nJ1+T8XtelzgCmCKXy88C+sDO71j2fy4kJIS8FhYYGxrSp0cPrly5QnG7whjIZDRp0IB79+5Rs3IV\nDGQyypcsxZ07d2jfpg2G+voUymfNyZMnGTNyJDmMjDDPmZO1a9eyYcMGcufMhYmRESOHDeP06dPY\n5M+Pgb4+bVu05O7du1QoVRoDmYxqFStx7949mjRsiIG+PkVtbLl06RJ9e/fGyMCQPOa5CQoK+uGf\nw5MnT2jbti0DBw5k8eLFhISEZOmA/yWJRKIW8OPj4+nQsSM1atYiOkHJ+NnLGDJmKuYWeahSQ3Pl\nj7FJDho0bcnuHZsyrUdeujy7Tlyjc8/+bFy1iDaOFXCpKWdYz3aYGak4dzaM9evXaaxgCQ4O5rcb\ntxg8a6XayiCpVA+VUvllNWr6Tl7I2QNB7Fnni1JH3pSkJNZMGooJqUydor7ZLD09He++/XHr1IVo\nc3t6rjlK12UHMMiZmwou2lcGlXZqzbNrZ4mPepdp2z5JjI3i4cVj9OyhfS+D8ONJVJl8Vf23/NnT\nf3zs2DEKFdK+xvm/9PLlS0oXL05PpYy8Uj3WS9J4KwGXZCVl9QzYI00jPKcJxaLjcUKfi6oULuc0\nwioxhdZpejxTprFTlkZuPX06pEhIVKkIlKUiATqk6WOChCBDJTHp6TROkWCDjCOGSqJzGFEsKp7y\nShm/6aXz3MIU85gEaiVLeEIa500kmCPFMUFJHCqOGUu4+0DxQz7DL4dyRowYkeWGcv6uxMREGjo7\nk7dAYcZNX4Thn+8nZNsmrlw8y+T5K7Q+d/fmVUZ4dyFw/xnMc2e+TDEh/gNebZ1YsXQJjRs31kh/\n8OABy5YtJ2TPHqKjolAB3cfMoHbT1hp5B7hUx2fuaoqU0jyl85Ood69ZMrof0e/f0sC1MxXrNcLI\nxJS4qPdcPLyHc/t30qRJY9atWaN2EJ1KpcK7b3+OX7pO83FLMTT5a6J4qUdNuvruIYe59m82J1ZP\n50P0e5oOm6+2KetLKpWKU8vGUcnWAv91mU92C1/nxYsXNGzYEKDIf9HT/5/16NEjrA2NKKqnj6lE\nSqmUNOLiP1BZzwBDiYRKaRAREUEVlR4GEgkOEn1iIqMok6LESCKhhJ4+knQlRZLTyCmRkleqh4VU\nhrWePnklephKpORPTEGSno69RB8DiYTiyUreRUZSWqmHvkRCyXQpkRGR2Ccr0ZdIKC7RJykxiUIJ\nqdwjjaMkIUlPJyQkRGcv71sdPHgwy6zK+Z5GjR6NWZ78TJy7PCPgA6Slp6En030efOnylWncwpWh\nPTsQHaV7QjL+Qxyj+nWhXp1aNGqkfrhbUlISnbt0pWbtOryIT8dn3jrGrdiCVE9G9YbNtJbXsK0H\nR3dm/g0jt5U1v67dxYDpS7lzKYzpvVyZ0aMV/pOHUsLShEsXzrMlMFAj4J89e5bd+0M1Aj6AVCZD\nlZ6us866XiNIjHrHkSVjSE1K0JonLTmJsFUTkcWEs9x3SabvQfixRND/CqVKleJdWhqX05J5mp7G\nFQM9rK3yclyVyitlGmH6Emzt7DgpU/JamcYxSRoFbApx2VDKK2UaF5UpGJoYc99AyjNlGgplKpHK\ndF4r03mgTOWFMo0nRvoYmphwVZXCW1U6N431KGxjy2V9Fe9V6fxmoMLG1pY7xnpEqNK5Jk3DwtKS\nRyb6FEKPMuiTrFKxbNkybGxsGDRoEKdOnSI9kx/W/092H8rJTGxsLJs2bmLY+BkaB5FZ5bXmxZPH\nmT4/eOwUKlatiYdLbdYtm0fEu7+OJ46JjiTAz5cuzetQRm6P3+rVaiuDUlNTadGqNc/ex7Bk3wXc\nB43DppicDzHR2BQrqXMi1snVg8vHD/Dy8R+Ztk0ikWAnL01qYjzLlizm7etX/PHgPgsWzKdYsWIA\n3L9/n/4DB5EnrzUymYyGjZtSppm7RsAHsChUlPB7V3XWJzMwpO0kPyTAht5OnF47g5f3rhL5/A9e\n3b/Gef+5BPRrSBFTFadPHNdYGST8u0TQ/wqWlpYsXr6MfTIVq9ITcGjoRNDePVw3NWRFeiL6Re3Y\nd/gwcfmsWK1M4HnuXOw7dIhCFcvjr0riorGMzdu20dbDnSBJCodkSqbMnMG02bM4qq8kWJpCyw7t\n2bJzBzdNDdgpTaZguTLsPXSQiDzmBOklk2Sdh32HD2FWvCh7ZMk8ymVE8J7d1GnSiCOyNB6Y6LPK\nbzX37t3j2LFjWFtb4+PjQ8GCBenbty9Hjx796suqk5KSmDZtGg4ODlSpUoXbt29nmWWY38umTZuo\nUbcBefPl10irUacBj/64z9NHuoOrVCrFZ9xUFvhtJvzZE1rXL0/TasVpVbcsreuV5+2Te2zdEojf\n6tUak8YzZ80iOjGNgdOXYWik3uPWdQ0igLmlFV2HTWT2oK68fPJQZ77kxESWjxtASfsidOnSRS0t\nNTUVrx49qVmnHrcj0+kwK4DBm8+BREJZZ+1LTCs27cjN0K066wPQNzSm2bA5eCwIIjUhjtBZAzmz\neBj3ts6jnr0F169cJnjnjoyTSVUqFQkJCSRnsrdA+DHEmP5XiIqKomTRonRMU1FIqsdSZSqGuc2p\nFBVLdamMQNKgUEFyPA+nFXocI50X1nlJff2GbuhxX5XOEUMD0pMS6S3R54NSib8qDalUQmeVlFwS\nKX6qNAxymFAnPgm5RI8tUiXG+fNj8fIV9VRSjkiUJNgUJO1FOK3SJdxSKbmVOxfJMTF0SpfyTqXk\nkJEeikePsLD4a5z54cOHBAUFERQUxMOHD2ndujVubm44Oztr3Qb/+aqcRYsW/c/07L/k5dUdu1JV\ncHXXfuLlopm/Ehcbw7gZi/7fsqIiI3BzqsKB/fvInz8/efPmVevNvnnzhjVr1nAq7CxxcXHcunmD\nyetDsCteSq2cZ3/cZ9YgT5bsO59p8D8evIWARVOp2aQ1jdp7UujPc/DjoqM4tWcbJ3cFUL9ObTas\nX6d21r9SqcStfQfuh0fQYtQCDIw/tvH984fsmNKfXqsOaq0vPTWF1T2daTx4BnaVamf6WSjT09g/\nvR+9O7Zi1MiRGul3795lse8yAgMDSElORqlUkidvPvr39aZP717iQvW/SYzp/yB37twhr1RKCyMT\nKhoY0lgJT1+E42VgTGl9Azqhxx8PHuAh1aekvgHd9Ax5+vAhrZQSyugb4GZgzIe4WOooJVTWN6Se\noTHWenoUlupRz8CYivqGVElTEh8TQ2t9I0rK9GmeDvf/+J0OEn2Ky/RxQ8bj33+naRoU09OnjZ4B\nr1+/ok6qkpIyferqG2Il1ePmzZtqbbe3t2fUqFFcvHiRq1evUq5cOWbMmIG1tTVdu3Zl9+7dJCYm\n/k8P5WiTkJiIkbHuawI9+wzm4pkTbN/kl2k5cTHRDO/dkb59valVqxZFihTJCPgJCQl079GTEvKS\nnL52lyrNOmBXvgYFi5bQCPgANvZyTM3MuXn+VKZ1OrV1Z96OY5jltmRKr3Z0r1Wcfk7lGNqiBpKI\nZwTv2MbmwACNy138/Py48eAxrcb5ZgR8AP6ffp+evgEtRy0gdOEont28oDNfemoKx33HUdDMkKE+\nPupp6en0GzCQmvUacDo8lepjA2m8JIwmvmco3n0Wm45fo5i8JGvWiAneH02csvkV7OzseJGUxBMD\nKfn1ZNzQk2BibMSl1GSq6htyVpWOubk55xJTaS/V41xqMjly5eJyupIaKhW/p6WilEi4I5MSr1KS\noFTxNj0NgLfoYyqV8MhQn7QUJffSUiihp89VKViYmXE5OYUGEkMuK1PJaWbG9aQUSqpU3ElPRd/A\nkHsyGfVUKiJU6bxKTs00UNva2uLj44OPjw8vX74kODiYhQsX0qlTJ5RKJW3btuXixYtYWv69HZbZ\nkaWlBe/fvtGZbmGZh+Wbghng6cqd61fx6NEPeZnyGenJSUkcPRDChuXzaNa0CTO+uCM3ISGBBg2d\nyWFVkOX7LpDjzx28j+7epHyNemp5VSoVsVERRL9/S+P2nuzduILyNetn2tu3yJufFl29Cdu7jR17\nd1O6dGnMzc3VhpJev37Naj8/Dhw6QkxMDC9evKDlqAUacwamFlbER70nOeGD1jF9gEJlHWg1eiF7\nZw8jf8mKVGjmjk356kikeiTERHDveDD3j+ykRrUqbA3co7a/QaVS0aNXH45eukWN8VvRN/6rDolE\ngplNCcw6jaGgozsjx3/cmdyrV0+d7134Z0RP/yvY2Ngwc948Bn+Ipm3kG3JXrsTO3btZnJ5Mq6g3\n/J7HkuCDBzltakTb6Ldsl0kICQ0loUhhOka/Y1pyPBsDA6nUqBE9Yt4z+EMkQ0aOZPjYsQyNj6Jn\nbATlnRqwccsWFqQm4RUXwQc7W0JCQzlgIMMrNoKzOYzZfegQL63z4v0hknWkErQ7hEJVHfBJiGJm\n8gemzZr11b3zAgUKYG9vT3h4OI6OjkyaNImoqCiKFi2Kq6srmzdvJjZW9xns2Z1r27YcCN5CZsOb\ntoXtCdhzArsiRRnW2x1XpyoM7dmBoT3b07JOWU6HBrF44QJ8lyzRCNDeffuRM68Ng6YuIUcuM5RK\nJe9fhxP+9BHP/rhPwOLpzBvRm5EdG+FZuwQ+bevjN2Ms1Ru6kJ6axoY5EzJdhZWUEM/ikb1p3bIl\n9erVI0+ePBkBPzk5mR69elNcXpL9l+5SrHkPijd2R9/YlMIVNDdFGZnmomjlOtw5nvn5iLblq9N7\nzWHsq9bj2MrJLHGrgG+78gQMaIadKoL9ITvZE7xL7TROgD179nDgeBjl+sxVC/hfMrW2o0K/hfgM\nH054eHimbRG+nRjT/wpJSUlULlOG8lFR2EhgfXIK5cqVg/v3qSGVsjU1lfJ16vDHuXO0lEg5hgpL\nBwduXLhAZz0Zd4A3BQvw9NkzOiAlTiLhhKE+UomEekkp5FKq2EY69kWLYv7kGaVUsEOVTuVaNXl5\n8RL1lXBYCkVr1eTGmbO0Vkm4LpWgKlmC+3fv4qqU8lYq4V6e3Fy/e1fjh+5LmZ2VExkZyZ49ewgK\nCuLUqVPUr18fNzc3WrVqpTZXkN0plUpKyOX8MnMplavpPm74E8W9W3h3asGqVSsxMTGhdOnSFC1a\nNCM9Pj6ezZs3c/HSJV48f87xEydxbuvOu1fhvH7xhLfhz8mRywx9A0Nk+vrUa94Oaxs7rG2KkM/G\nDtNcf51E8iE2mjk+PZDqSWnR1ZuKtRog/XPXbkpSIucO7yF00yrq16nFGj/1ieKUlBSaNHMhIk2f\npoOnYWT68ez7q6HbeHHvBs19tF+J+PTmRQ4smYDnkmAMjDL//5OanMT2UR1ZtWgejRo10hhGevny\nJStXrWZn8G5ioqOJiY2juOsQClZv+v9+zgAPts+lY+1SGpvHBE3fMqYvgv5XOH/+PL1btGCHuRkS\niYQVkVGsiInhkq0t+hIJZxMSGB0VhZ+FJSUMDIhIT6fN61eMzGVOixymKFUq6r19RWsjE4bm+PhD\n6Bkfg4lEwnKTj3+fHRfNsZQk9ubOi55EwpHEBGbHxxBgboWVnh5P/o+9846K6lr78DOFofcuRZAq\nIvaGBVGxEwtgjTW22BNrLNEkGhM1GsWaaKKxK9h7xYZdEQuigICAIL0z/fuDqJkMGO+9yS1feNaa\nBTP77L3POQO/s8tbFHKmFOczU9+Elrp6yNVqgnMzGaxvyCADYwAmK8vZcOgQbdtqJ8CGf9zBqrCw\nkDevZiQAACAASURBVGPHjhEREcG5c+do2bIloaGh9O7dWyNGy/8qu3fvZsas2WzeexJb+6rDGwAU\n5Ocyql93pk6ewIgRI0hKSiIxMZGEhATi4uI4ffo06enpqNVqDI1NEAiEmFhY0qnPIOwca2Pv7Iqt\nQ230DAx4+SKZ2UN6sO7ELQ3Lnd8jl8u4cvwAp/ZsIftlGg61XdERi0lJfErzZs2ZPGkCPXr00EqK\nMvXTTzl78wG954S/eVAA3Dq8nazkp3SbWLWQqtVqjn0/h6LcV/Sas7pa4ZdLKzj53TTqOVixd/dO\njRmOXC5nwqQp7Ni5A4dmnbFt1hWVXMqtH+bScclRRNWYov6e4vREHm2YSnbWy5oMW3/APyP6NWv6\n74G5uTnZUimFKhWmQiGpgEgoJEUux10iIVGpRFciIVEux/PXn2KJhOfqyul5llKJQq0mVShApVYj\nVaspUCopFkC5SoWuQECWSIhMreaVSom9SMxzVOhJJCQr5b+KvgKxREKKWklL4KVSAUIBL0RC1Go1\nJWo1OTJZtaPx11Y5vr6+7x0rx9TUlEGDBjFo0CBKSko4ceIEkZGRzJgxg8aNGxMSEkKfPn2oVavW\nn3ez/40MGDCA9PR0RoR2Zvr8b2jXqRtisZiiwgLSUp+T8jyR6ItnuXDqKOZmpnz99ddMmzYNV1dX\n3NzccHR05MSJk9g41WHsgpXUbdQcHR0Jcz8Koe/IiTT0b6/Vp72TC24+Dbhy4gAd+1Qd2gBAR0dC\nYK/+NGgVwKd9A1iycB5mZmbUqVMHJ6e3uX9LSkrYsWMHt+/GUFRcxOFDhxi78YSG4AMYmllS9Cqj\n2v4EAgHdJn3J8dXz2TY1lKa9h1E3oOebDV95RTlPLh0n9tgvtGrcgB3btmoIvlKppHdIGA9e5NJ+\n0UF0fh2IZD2MxtTZ670FH8DYwY2S0hKKi4u1snTV8K9TI/rvgbe3NyPGjqX72rWYisUY2dvz/ddf\nM3TqVGwlEopEIr7/8UcmjBrFZmkFr5RK1vzwA3OnTycqP5cchZwvv/yKgxH76Bv3hAqVip59eiMW\ni+m7bx/6QhGOXp4sHjyYkfPmYSUWIzc0JHzdGiaMHo2VXEquWsX6zZuZOn48p8sKyVbIWblqFetX\nrWZEWholSiWjxo2lXr16Guf+Z4U9NjIyIiwsjLCwMMrLyzl9+jQRERHMnz8fHx8fQkND6du3L87O\n2un6/ttQq9W8evWKxMRErK2tadvan8VzpjBr4nCEQhFKlRJjY1MqKsowMjJiQP9+DBw4EHd3dxwc\nHBCJRKjVatoFtKdFUDDDP12gMSKtKCtF38i42v4HfDyDxZOG4OJZD7d6Dao9rrS4iJXTRzFj+vQ3\nYaJfU15ezszZs9m69Rdc/Zrj5NeSF69e4uTbDBNrbbNH92btOLb6c4pyMjGxqtosUiTWoecnS0i+\nF82dYzu5sOlbzKzt0NfXJzczDX//1vy4egVdu3bV2sNYumw595MyaDxxFULxbzZxlQoEwn9cZkRC\n0Xv7ldTwj1Ej+u+BSqUiNuYetY0NsRULuZeTzb3bt7A20MNTT8z14gpi7t1FLABPQ13Ky6TcvX2b\n0tISmhnqoSsXcefWDV6kvcDDSJcyFTx6+BCxWEQdQ32MhAKepadx+8Z17PT0cBWLuFVayr07dzAU\niXDXlVAslXLv7l3kUinuerqoRUJu37xJVnYWPnoS8tVq7sfEoFQqEYlEf2nYY319fXr16kWvXr2Q\nSqWcO3eOyMhIFi1ahJubGyEhIYSEhODm5van9PfPoFKpSEtLIyEh4c1SzG9/6urq4ubmhru7O56e\nnnTv3h2VSkVSUhIKhQJTU1MCAgJo0aLFG0FXKBRERUWRnp7OkydPSE1/yfTw3VpLEAbGJhQX5Fd7\nbp71GzFh4Xd8PXEwoWM+ISC4Hwa/eUgolUpirl5gz5oldOkYyOefayZlLykpoUOnIBSGVoxZdxhT\nm0oHs7RvY/FurR3fB0Cib4hvYDC3D2+jw0ht+/nXCAQCXBu3xt6zPhtHBbF57fc4ODjg4OCAre3b\nzFxFRUVs27aNC5evUlRczJVLl2nxyVoNwQfQNbWiLDsNtVr93ks1spIClAo5pqY1KTn+CmpE/z24\nd+8eT2PucbN+bcRCAZ8nvWTdz1uIb+mNhY6YA68KmBEezlY3e1qZGJJQLqXz+nXMqmXJaDtLypQq\nvI4epY+lGSud7FCr1bR9loqeUMAJFzsEAgFTXrzi8KHDXHJ3JrKgCFOViPXhq9nuZE9jQwPulJUz\nNjyc+ZZmfGBqTKFSSavt2xlqbsYMK3OUajU9Y+9z+/Zt8vPz/+GlnH8WXV1dunfvTvfu3dmwYQNR\nUVFERkbi7+9PrVq1CA0NJSQkpMqY9f8qMpmMlJQUDUF//fvz58+xtLTE3d39jbiHhYW9eW9m9v4p\nHAoLCwkPD2f9ho2YWdrg4OLGo5jb9Bw8ukqzyoatArh6+jBN21WfPK55+y5Yrd9N5OZw9qxbjk/T\nltg6OKOQSrl/LQpbWxsWLZjHwIEDtcRy4IdDEFg603vqIs3wDhXl6OhXvwnr3280P00Nw869Hj7t\nqp/xySrKOLxkMsOHDSU4OFizTCZj2sxZbPl5CzZ1m2Lu05qiwiR0rRwwdfbSasvM2RtQk594Hwv3\nhtX2+VvSo4/QNzRMy5O5hj+Hmrv6HggEAtTqtz4sr3+qfv2lcuVe8Pa9+tf3r4+jsvJvDfDUqFGp\nBaipTDmm/vUztQCKlSoeVUipUKr4MDkdiVCAlUhMsVLB8aJiFGo1FiIRKrUa5a9nowZkShWzZs0i\nLS3tP5LBSkdHh6CgIIKCgli7di1XrlwhIiKCjh07Ym5uTkhICKGhofj6+r73qK+srIzExMQqR+vp\n6ek4ODhoCHv79u1xd3enTp06f2jF9D6kp6fTKagztdzqMnvVVty8fVGr1fRpUpvAnqFV1gnqM5Cx\nPVpRlJ+LiXn1Pg916tZnxvIfuH7uBJu/mU1Yt44YGhry5YyJNGvW7M1xcrmc06dPk5ycTEZGBpcu\nX2Hq9ota91DP2ISygtxq+zO1tmfglz+w6/MxvHz6gCbBgzGzfWs4oVIqSbx9keu71tCuRRNWrVyh\nUV8qlRLUtTsvSqHt5zvRN7cB4GHkWuz8qk5ALxAKcQkIIenMDszdGvzh966UVfDy6gG2HNn/zuNq\n+Oepsd55D1QqFX26dyPj7m2cdXWILpMREtaPE3t20cJYn9P5JYybMpUfV31PR1MjLhWVMnjsODZv\n3EAHYwMelcto1KkTV69cpa5KTqFShdrZBaFQiPJ5IuYiIY8EYgIDA7lx8gT1dCVElZYz+uOP2bp+\nHU319bhSUkqbTkGcOXkSa6GQVwoFArEYqVSKkUiETK1GDgQHBzN+/Hh8fHyoVavWOx18/p3378aN\nG0RERBAZGYlEIiE0NJTQ0FAaNWpEYWFhlcswCQkJ5Ofnv9k4/a24u7m5Ubt27SpDSfxZlJSU0KJl\nK5p27Em/0VPfCJa0opx+rTzZfye12ro/Lp1PenIin32/BfHvErH8lqKCPOaP6MUX8+cyfPhwrf6X\nf/cd6zf+gIl1LWxdvXj+6B7uzdrRaeQ0rbYeXznNlX2bGbHi3XFyirIzuRa5mQfnDmHh6Iq1owtC\ntYrUh7dxdKjFtKmTGTx4sJZADx85ikuPU2k4ahEC4duN4vu7V6BnaoV7lyFV9qeoKOPy0tHY+rXD\no+foaoVfKZfy6Od5+Hs5snvn9ndeQw2V1Fjv/EUIhUI8vL25dPkyL+VyzK2s8fH1ZdsvMq4JBQh1\nxHh7eyNDwPXyCoqVSurWq4e+gQE3yyvIr5DxoV8DEhISuJfwDLlKRTc3N0RiEUcfP0IiEuJYx426\n9etz4OABytQq9PT18K5Xj1KVigdyOWqhkLCwMK5fvoxQrUQiFbDomyUsW/INGVlZCAQCGvr5YW5u\nzqJFi0hISKCgoABXV1fc3d3fvF6LprOz879t+iwQCN44fdWvX58rV65w8OBBVqxYgVwuRyQS4eLi\nQv369fHw8MDf358hQ4a82Tj9Tz24Nm/ejLm9s4bgA+hIdFGplCjk8moFfcQnn/Pt9FEsmvghY+d+\ng72zq0a5Wq3m2YN7rF0whYH9wrQEPycnh45BXRCa29P/ix+wq1O5PLZ8SCB+HT+osk+vVh04tvZL\nXiY8xt7dp9rrMrG2o8u4uTQI6suu2UOYO2k0RkZG+PouoFGjRm+Ok8vlHDt2jCdPnpCfn8/uPbvp\n/O0xDcEHkBiaUFFU/QxDrGdAq8mruLZqEsUZSdQJGoyZ69vZnkqp4NWDK6Sd2UoLP29+2fJTtW3V\n8K9TM9J/D+Li4ujo35L7fZpjKhEz+nIc+55lcKN3c7zNjFjzKJVlj9L5rlFtQlxsuZyZT//LcYxy\ns2WhnwvpZVJ8j9yig4MV+1p6IFWqaHgmFrFAwM32PuiJhITeSOBSVh73OvjhaKDLoifp/JCSzS9+\ntQmwMuXwyzw+ffqSKY4WTHSx5VJuEcE3n2AgEvGzrwstzY1pcSeRU1ej8fX1BSpHiklJSVqj54SE\nBLKysnB2dtZ4ELx+ubi4aDnc/BFKpZK0tLQql2ESExPR09PTGq3XqVMHmUzG+fPniYyMpLi4mL59\n+xIaGoq/v79GGsF/N2q1Gk8vb0bPXYpv01Za5Z8O6k7oR5NpEdil2jaUCgW7N67g5N6tuNatT/P2\nXdAzMKAoP49rpw5SXlzIvHlzGT1qlEY9uVyOf5t2GLr6EjRqlsYDZ3HfZkzcdAKjapaNbh7ZxY1D\n2xi2fAf6xtXvW0hLS9g9ZygTRw1nxnTNWUNFRQWLv17C+o0bMbB2wtjFl+yEWAysHGgycoFWW4Vp\nCVxdOZmgJYcQvmMgIa8oJfnifpKjIhEIhZjVckEiFpGfGo+LsxPTpkxi0KBB/xWz0/8Vakb6fxGF\nhYVYGehhKhFXjloNdVColLgaV64Ze5joI5XL8DB5/d4AlUKBu2GlcNrpSRALBbjpV3rh6otFWOjq\nYCQWYvBrsg5HiRCJUIi9fuVyhbuBhAqZDHfDSosbdyM9lHI5tfV0WJaQwZrnmQgRMMnZhi42ZqjV\namz09SgoeJsb2cjICD8/P/z83saMeY1UKuX58+caD4KTJ0+SkJBAamoq9vb2WjOE2rVrIxKJSE9P\n1xL35ORkrKysNES9f//+b96/yxIjMDCQr776isePHxMZGcmkSZPIzMykb9++hISEEBAQ8G/f1Lt/\n/z5SuYJ6TarO5dpzwAiO79nyTtEXicUMnjCTsFGTWffVLM7u/YnmzZphZmbGyqVL6NKlyxuBU6vV\nPHnyhFevXnH58mXyKxT0+mim1lKIRN8AWXkJVCP6zXoOoCDrBVumDaTH5C9xqtdUow21Wk36k/uc\nWbeQnp0CmT5NM59uUVERHTt3JVdtQNPJ4Zg6Vsbfv7BkNI4tqr5WU0d3DK1r8TImCoem1W9e6+gZ\n4tFlCE4tunFxQShfTf4Cc3NzPDw8NEyNZTIZhw4d4u7de5RVVGBva0NISAgeHh7Vtl3D+1Mj+u9B\nw4YNEZiYMfbKEzyMJKyJz6J9mzaERj2ms60xa55mEhjUmZE3ohnubEFERiGtO3Tk8+gr5Erl3Cis\noG7duuxKSsJMLCRPoSJPIKZALWRabApWYiEHXhXjU68eQ+49p5WxHqtTcwnq3IUhd24QamnI9uwS\n3Bs0ZOjNm3ga6OJraYbQzZMfY2PRFWWSLFMiNzKhSZMm73VNurq6eHt7a1nVlJaWEh8f/yYq56NH\njzhx4gTZ2dmUl5cjEAiQSCRYWFjg6OiIp6cno0ePplWrVtSrV+9fMrPz8fHBx8eH+fPnk5CQQGRk\nJLNnzyY5OZlevXoRGhpKhw4d/tJ1/NdkZWVh5+hc7fpzmy7BbF31NdFnjuIf1POdbRXl5/Ho1hX2\n7t5Ju3aawdZKS0vZunUrq9aspaCwGAvbWqSnJNFjwvwqR7y1fZvw5Np5/ENGVNmXQCCg86iZWDu5\ncfT7eQjFOtRt0wUDEzMqSopJunEWtbSMOTNnMG7cWK0HQq++oRQb1aLp4M80Uh/Ky0uQGFb/3db9\nYAy3Ns3HxNEdYzuXao9TSCt48NM8Jk6cyIgRmtcgk8n4atFi1q7bgI6VE0L7+gjEOqhvpLDom+U0\nbODH8m+/pmXLmqTq/wo1yzvvydo1a5j+6ScI1Gr8W7dmxmdzCOvbB6VchqOzM7/s2EVI7w/Iz81F\n39CIQ0ePMWX8eB4/foRAJOKnrb8QsWc3Rw8fAQHMmDUbkVjMksWLEKiha/duDB46jOEffohKqcDL\n25u1G3+gd88eFBcVoRaJsbK2RqBUkpeTjUhHwt79+1m59FsuXboMAgHfLl/O5ClT/vBa8vPzq7Vf\nfx10rbqN09cj/d+aR/52tqCvr6+1f/D6ZWlp+U+51ScnJ7N//34iIyOJi4sjODiYkJAQOnfu/Jel\nbTx//jzT53zOos3VW5Ekxj1g/tj+jPh0AYHBYVVeW2piPN9MHc7kieOZMX26RllaWhpBXbohsbCj\nZZ9huDVqRWlBLkuHBjEn4gYisfZ+Qcqju0Quncmkn0794TKIWq0mavsa4s5G0rNnMGamxnTs0IHO\nnTtrzDDu3btHRkYGjx8/Zmn4BgK/2INQpDkePL9kFN49P8LGp0W1/SVfOcKjyHB8+31CrSYdNZ20\n1GryE2N5tn8VgS0asX3rzxrnX15eTlDXHjzNkWLR/iP0rGtrtK1SyCh4cJ78iz+xbctmevfu/c5r\n/7tQE3vnLyI1NZXG9X25OLoHrhYm9NlxlpupWWwPaUsXD0emnbzF4cRMxtR3Zmab+my994z5lx8T\n6GTFTz2bczsjl6Ad56hna8mpfm0plMposeUsAgFED2qPhb6EzhHRPMnO52hff1rYWzD6zH3Op+fS\n1EyXK2m5NLUzJ65cRbCDKStb1+Xci2zCTt2npb0FBzr7kVpcTsCR29yMicXFxYWsrKxqhV0ul2sJ\n+mth/lcsftRqNVlZWVoPgsTERJ49e4ZKpdJ4CPy2b3t7+/d6IKSnp3PgwAEiIiKIiYmhW7duhIaG\n0rVr1z81DV96ejo+vr78fPouegbVt5v89DHLZo1HoVDQNWwodRs2RSTWIfNFMucP7iLh8X2WfvsN\nH32kGSq4oKCAZi1a4dGuB+0Hffzm2rOSn7H18/F88vPpKvtTq9X8MKU/Hs0DCBg8/p3XUFqYx9ZP\n+rP2++/o21czK1ZZWRmbN29mZfhaissqMLV34VXKM9yCBuHZWTs8xMMDG6goyqfhh7Pe2Wf2k9vE\nHdlEcUYS9g3bo2dug0pWQeGTa0jUCmZN/5Tx4z/W+q77hvUnOiEX2+CZWhvFGued8ZSMvXO5dP4s\njRs3fue5/B2oWdP/i0hNTcXNxgJvG3MAAmvbEPU0hS4ejggEAj7wcmTb3af08q4MQdDL25lpJ2/S\n080XkVBIC0drdIRCAh0tMNbVwVhXh9rmRphKdHA2rRSU5tZGpOQX4u9gBYCjvpiMnDykxrZcHxyI\nUq2mzZ5LfFDbHYFAQHsHK5QKGa76IrY9SSOxsBSVQkFQUBCZmZkYGBhoiHr37t3fvLeysvpLAlkJ\nBALs7Oyws7OjdWvtDEt5eXkaD4KoqCg2bdpEQkICJSUluLm5ac0O3N3dcXR0fLOp6+DgwMSJE5k4\ncSJZWVkcPHiQjRs3MnLkSIKCgggJCaFHjx7/cswWBwcH2rRpS9Tx/XQNrdoUEcDF04c1+y/w6O4N\n1i2axcndmzAxNsHO3o7xHw2hX78jGknIFQoFxcXFLF22DIs6PgT+TrjFOhKUclm1/QkEAgYuWMMP\nU/ujkEtpN2g8OhLtTffs1ET2L57MiCGDtQQ/Ozubjp27UiwyxjVkOjbelUuC+0a1wKV1sFZbAHXa\n9+XUvH7UC5nwzvDI1t5NsfZuyosbp4jfu5xxY8dgbORAi08G0bFjR40ZxrVr10hOTiY9PZ2Tp8/g\nPmnHOwUfwKCWJ+b+g1jw5WKOHIx857E1VE3NSP89KCgooJ6XJzNaeuFhZcqko9fRNzGjk50RH3g5\nsuDiAxQmFtjIipnazJMtsc95IBWiKshlWWADotNy2ByXjlJawdqghuSWyZh56QEigZDF/l7YGOgx\n/tx99AyN6GFvzN2XOdzOLMDJ0YG6uir8bUzZ9SyDLKUQWWkJxiIhGaUVCIRCxAIBbWuZoysSciWn\nlINHjtKoUaP/uUBVxcXFVc4QEhISyM7OxsXFpcplIxcXF3R0dMjNzeXw4cNERERw5coVAgICCA0N\nJTg4GHNz83/qnM6cOcPI0WNZvvMkxqbv9uB9kfSM2cOCeRAbq/U3LJfLOXToEN+Hr+F69FV0dfWQ\nKxRM3nAQWxfNzUmFTMqisNZ8vHY/FvZOVEdJfg77l88mLT6WhkF9cGvcGrFEl6KcTB6fP8TLhMd8\n+cVCJk6YoFGvrKyMVm3aoXL0o17IpDcPf3l5KYemBNF349Vq+7y5aQFKuZymo77UWO//PfLyEm4s\nH8sXsz5h3LixGmVSqZQNGzbw3ao1lMpU6NvWoTA9AX23FtQKGl1tm79FKS0lcc0QEuLj/meD/f1Z\n1Czv/IVs376dmVMno5TLad2hI7M/m0P/Pr0oLS7C1d2Tnfsi6N29G5kZ6VhYWXHw+EkmfjyOB3du\no6uvz6ZtO4iMiODQnl0IREJmzl+ISCTi6wXzUcgV1G/WnNLSUm7fvo1QIEBHolPpBaxSgVqFkZER\n48ZPIHLvHrIz0jEyNmHPwUOs+G45F0+dRKwjZsnK1QwbVnXO1/9lysvLNcIZ//b1W6/c1y87OztS\nU1OJjo4mKiqK1q1bExISQu/evbGysvqH+p469RPORF1mXvgvmFpUXTc1MZ4vxg/i66++1NqcfP78\nOV2690Cob0KzDwZRv21nnt6+yrkdGxi/ek+V7R1ZtxiEYrqOnvmH55ebnsz+7z5DXpiLvb0dVpaW\nDB7Qj9DQUI39jsLCQvLz89m1axc/RJykxeTvNWZ7KoWcfaNbEbrpRrWCrpBVcGn5BPRMrWgweCa6\nxtoP0+KXycT+NJ/eXTuwfk24Rh+FhYV06tqd1EIVZq0GYFi7PgKBgIcrBuM6aJHWOv67eHXkGxZN\nGMjIkSPfu87/R2pE/y8iJycHHy9PwocF42FvzfD1eymUKRjXrhG9mvgwe+9pkoulNLE1ZWaPNmy6\neIejcanY6IpYN7grZx4m8OWxq0gE0LuhJ0mv8rn4NAWlSoWOSIiFgR5ZRaUIhUK6+bgS7OfO5htx\nFAvEdK5tyVh/X1ZExXA9q4TaegKW9mjJscfJrLwWh4VExNZ+7XmeW8jHh6J5FP8UGxub//Qt+7fx\n2/g7v58hJCcnY2lpiZmZGeXl5WRkZODh4UFwcDAjR47E3d39D9tXq9XMnTeP9es3EBgcRueQD3Fw\ncUOtUvHsUQyn9v3CjajThK9exdChQzXqZmRk0KxFS1qEjKBN37cP4+hDO3kR/5DQ6V9X2Wd22nPW\nTghj7Oq9WDm6VnnMa/Kz0tk8JZQLZ8/QoIFmxE6ZTMaBAwf4btUaYmPuom9sSmlxEW2mrMS2bjOt\ntk7MDaPhoOnY+jSvtj+FrIL7u1eSev0kdvVbY9egLWI9A6TF+eTcPUNR2jPmfvYZ0z79REPwFQoF\nbQM7kqowx7brJI0HS8ziYOpO2YZY//1np6/ObGBa35ZMm6btmfx3omZN/y/iyZMn1LGzJrRV5T/V\nYP8GfL7nJDODAwCY2qUVoSu3sWdkDzztrZj7QQA/XVjGl8OCWXPmOrtvPKBEKsPT1hILQ32atahF\nWlEpJnoS7I30eJSRQw8/e26mZHHw4xAALAz1Gbr1GHNGdcXSUJ+ZHRrjv2I3K4Z0wcvGHC8bc744\neZ1pXZrT0MGahg7WrLwez+PHj/9Woi+RSPDw8KjShlupVPLixQuNhCfXrl1j/fr1LFmyBB0dHRwc\nHGjSpAkNGjTQWDZ6nZdAIBDw9eLFjB41ig0bN7JwXD9yXr1CIBBQ28WVsWNGs2vzuirzCo8bP4H6\nnXprCP7rNt+Vjdza0ZVuY2bw88xhDP16E7YunlUel5uezM55o5k/d46W4Kenp9OpSzfKhfo4B4YR\nMnYlBWmJXAqfgY130yrbc+8QRuL5fe8UfbFEjyZDP8O373ju/PI1qcd/wNvLCztzM6bNnEhISIiG\nY9/Lly/Jzs4mKiqKhPQ8nIbN15pJCHX0UMkq4B8QfYFC+qfEVvo7UiP674GbmxsJGVlcepyIZy1r\nDt6Nw9zUhK0Xb9OraT22XLqHtbUNmy7eYe4HAfxw/hamZuZsu/GITcN60tXPgxE/HUGoo8uYgCZk\nFpaQmpNPhUzOmLYN+TakA6GbjqBAwMGYp7TzcGLb7XjsbW35MfohH7fxY9P1R5hbWLD1zlMaOVhz\n/HEyunr67H2UQv9GniTlFhKfmVPjwPIbXod3cHFxeT0aekNFRQV79+5l165dnDx5kmvXrmFlZfXm\nQSESibQ2lT8IDuaTqVOxtrZGKBRq2bhfvHiR1WvWci8mhrLSUgoKCll44LrWeVk6OHPt8K53nnuL\nHv0Ri3X4YeoAPJq0oXnwQOzq1AXgVcoz7h3fzZPrF1j67bd8/PE4jbq5ubm0CQjEomlXmvQc+eY8\nywuyMbZxqnYT38W/Bw8PbiTr8Q1s32GaCZVx8ktTHrNvx1ateyuTyYiMjGTZynDin8RhYGZFUV42\ntbpPqnKj1tDRm+KEm1g2ebe/w5u+VUpKkm7TosXC9zq+Bk1qRP89sLe3Z/nK7wmdMplyqZTOnTuz\n/MfZ9A/pw/ifDuLrU5eDx44T0iuYtRO+ppadLYeOHWfKhPG4Tl+BiZER23ftYn9EBD7z1iFXKKhb\nty69evVi7epVbLvxiNCwMAYMGsyIDwdRWFxK0yaNOXB0N3169uCr49G4ODtx8PhJhg8eiOPCH4Sn\nzQAAIABJREFUzViamXLg8GFWrfgOzyXb0NeV8O2KytjnNfwxenp6DB06lKFDhyKXy7lw4QIREREc\nPHgQd3d3unXrhp+fHzKZjISEBM6cOcOGDRtISEigvLxcY1PZ2NiYTZt/RqpS0brvUAb1GUP04d3I\npFJ0qzD3dG/YkvKSIl48icXJW9tb+jVNuvTFp3UQd0/vZ9+SacjLSxGJRTg4OjHmo5EM3/1TlZnS\nZs2Zi4F7E3yCNc1EBULRO5Ot6+gb0nrCt1xdM4Pmo7/C3k/bAgugNCeDm+GfMGHsKC3Bz87OplPX\n7mSWKDFu0pu6Pb9CUV5I/qrhmNWtOo2ndfNepJ3agEVj7fSPVVH07CbOjrVqTDb/SWrW9N+DkpIS\n/HzrMbCjP+6O9szdsB0nJ2c8bEzo6d+EJdsOYO3ghLQgh4l9urDt9GWKVGIyXqTwxfC+RD96xsk7\ncaRlZGBqoEe3lg05eecxQoGAicGBWJsaMXfLAWxtbWnjXou29dxZuPMYTq510JOWMCywOetPXkFo\nakXOixQ+69uRE/ee8DC7mJcZ6Swe0I2kV7nsuPaQ2EePMTauPmtTDe9GoVBw+fJlIiMj2b9/P1ZW\nVm9CQvv4+CAQCCgoKHizZHTjxg3WrV+PiZUt0vJyyosLsajlREVJCXZ1PKnn3xFLB2esHGpjbuuA\n6NdwEud3biTpwR2GfbXhD/0iMp/H8+PUgbxITdHyeFar1Vy4cIGVq9dw/fo1ykpLkUpl9FpxBANz\nzWW+4qwXnPpyOMErTlTp+PWa7KcxXFv/GQaWdrgFhmLpXh+BSExJ1gsyrh4iIzaahQs+11q3Lykp\noVmr1pRY+WLbcdSbsrLMRJL2LsZn4uYq+1OrVMStG41lsw+walq1yehrlBUlpG37lPXfLWbAgAHv\nPPbvQM2a/l/E/fv3sTQ25KtxlfbaL3PyWPjDDq5c2INIJMLS1Jj+85Zzce1X+Lg6EdikPt4DJhA+\ndSR92jUnKSOL5ykp+Pt6cWrZLPQkElpMWIipoT6zB1ZOaWOSUtkbdYs1K6YjEAgQCYV8tGILzzYt\nwtbcBD9XRwJmLmPr1GF0blSXkFaNMB80jc/7d2NYh8qp+JmHidy7d0/L1b+G90csrgxxHRgYyOrV\nq7l27RoRERF069YNAwODNw+Axo0b06hRIz7/4kv6TP4c/w8qBUhaXkZuRip7ls/DwNiUjMQ4Hlw+\nRU56CkW52Zjb2GPp4IyFnROZSfFs+WwU3cfNxsqhNuIq7O2zUhL4Zc5o1q1doyX4KSkpdA/uRW5x\nOa6BoQTMHUvqrXNkPr6tJfgAxrZOmDm6kXbrLLVbdav2Hlh7NqTn8iNk3LtEbMRqqChBV1cXGzs7\nJgwfyrCjO7WS0KjVar5dtowCHWscfiP4AAKhGLVKUW1/AqGQOgO/5NlPU1ErFVg174VAoP0glBW+\nIuvAlwzq25P+/ftX214N76ZG9N8DOzs7Ul5mkf4qBztLc+7EJyGR6HD7SSIt6nkSHRuPoaEB0Q+e\n4OPqRPSDJ+hIdNl9LpqFP+3D2c4KHYkEHYkEoUBIXlEJL3PzycovILeoBBMDPR6nZlEhkxGX+pK6\nzvZExyVhbGxIdFwCffwbE/04AV09faLjn9O5UV3uPX+BGgHXn6WiVKp4VVhMcmYOdnZV5z+t4R9H\nKBTSunVrWrduzYoVK7h16xaRkZGEhlYmT2natCnFJeW07NnvTR1dfQNquXnj7N0AfWNTgoZNelOm\nkEnJfZlGbkYqOenJqFVKYi+dYtXYXqhVSkwsbbBycMHSoTa6hsbkpCaS+vA2y5Z+y4cffqhxbmlp\nabTwb41Lx0E07fo29n1ZQQ6WdTTzJP8Wz079uR+5AYfG7RHr6ld7nFAkxszZE1VZIQ/vx1C79u/C\nIqhUnD9/nuXfh3Mp6jzlpSUIdfTwHrtWO0icqQ2KknzkxXnoGGsvRwHoWTrg+dEqnkcsJufGfiya\n9MTYtSECsQR5YTblj89SlHCb2bNmMm/unL/EufDvQs3yznvyzZIlLFr0Ffq6EtzcPfh0+gxGfzQS\nAz09dPX12fjjJoYN+RAhasoqZNStV487d+5goCtBoVKxYuVKDkREcuPGdeQKBaNGjUYsFrF+/Xok\nOmKaNmvGwEEfMnnSRAz1dDG3tGT5ylUM/XAwuiIhSgRs3b6Dj8eMpqK0hFKpjB82bSb8+5XEP4mj\nQibnszlzmDtv/h9fTA3/Emq1mvv379Ovf38yc/IQi3Vo0L4rDQK64lq/CUKhkNQnsfw0byKf7TyP\n8B0holVKJU9uXuLK/l9IuHsNQ2NjFHI5KoUCR0cHBAIBL168wNzcXGNjecu27ejUbkTDsPFIDN9a\nvdzesQIdQ1N8P6jafl2tVhO9cT7lBbm0nrgMHf2qQ0yUvErj2vcTWTB7OpMmTtQoy8jIoHP3nmTm\nl2DSOBhz3wBKUh6SfnEndcesqbK95IPfoWNijX376r2bX1OaFseLY+HoSAswMzXB0tKK4R8OYOjQ\noRqzHZVKRUlJCQYGBn/b1Io1yzt/EQqFgmPHjtKmeVMc7Gw5dPo8+yMj8KjjSjO/ehw8c4H9kZHo\n6epiY2nB3QePqKiowMTYiL5dOvAkMZn9EZHE3I+hZ4d2FJeWcer0KcQiEZ1at8TEyJCTV64jkUTQ\nwNuLeu4u7D97iQP792NtYU5gswacir5NZGQk5RXl9OnQljvxCezbu5enzxL4oL0/L3PzOXb0KDNn\nzUbnHZmaavjXEQgENGzYkJLScj5ZH4FcWkHMxZPsW/E5JQX5+LXrTMPAbhiaWfDg0ikaBFaftlIo\nEuHTKhChUIg0J52zp0+hp6eHjY3Nm+9RpVJx7tw5wtes5XL0dY4eP0FeXh6m5Sr2TeqCSCzB2M4J\nYxsnpCUFyCvKsK3bBGNbJ3SNzTWXWgQCWo1eyM0tSzgxJwS3wFDcAvqgZ1ppclqYkURKVCSp14+z\nZPEiLY/e7OxsWvi3RVy3A279384wpIWvMLBzq/Y6bVr04unWWVg27orExPqd91fHxBpReS7nz5zU\n2qxVqVScOXOGZStXE3XuNEKRDkq5DI+6vsz8dDIDBgyoMeX8A2pE/z24e/cuudnZRJ07hFAoxH7Z\nKpau3URObDTGRoZ0DWzLkCmzMTU2xMHOmhXzf+aDjybxzawpjB4Ygkwmx7JRAEP79GDtwsqAVX49\nB2Io0WX/mm8QCAR8NHcxkafOk3npMLoSCc396jJ1ySru7tuEm5MDdx8/pcf4maydM5m+HdtSUlaO\nbWAI04eG8cXYIajVahp9OIlbt27h7+//H75jfw8qKsqR6Olj5eCMfR1Puo2YzKvUJGIunuTQ2iXk\npKey8+vpFOW+wr/34Go3TzMSnxCxdBa7tm/DzU1TOBMSEhg8bARPnz7DrX1f3EO6EXdmLw5tPGkY\n+jFqtZqKojyKM1MpynpBfupTnpzaxc2tSyjNzkCtVGJk64Tx715+fcbg3r4vzy5EcPjTbuhIJAgA\nfQNDxowexYQfY3Fy0g4D8dHYjxG4tsA24EOtsndhYO+ObasQErbOxH3IN0jMbKs8TlaYTfqeOUyb\nMklL8LOzs+nSPZikjFxUdTpiMfgnhDr6qFVKstLvM/2bjcz8bC4njx2hadOqfRFq+JNF38vLSwCs\nAxoAFcCo+Pj4pD+zj/8Eurq6lJaVIZXK0NfXo6CoGKFAQGFxMbn5BXyxci1lZWVMHzOM+VPGce9h\nHAKBkNyCQgBKyspQKpXkFRYBlTOH8gopKpUKpVKJWCymuKQMhUJJSVk5uhIJeQWFiEVi8gqLcHNy\nIK+wCIFASF5hMQBFJaWo1eo376UyOcWlZX9ZqOEatDE3N6cw9xUmlm9HrjbOdeg8ZDydh4wnN+MF\np7au4fC6rzn2wzJ8WgXStEtfPJtWxskpzsvh1vG9XN2/lfVrwunSRTNJSVxcHG0DAvHqMYI+41e/\nCVV8b/9G7H0rN+8FAgH6ppbom1pi41WZ6rC8IAdje1f8+oxBWlJIcdaLN69XT+6QeOkQxVkvkJeX\nom9mhVAgYMTQIXh6euLr64uHh8ebmDYxMTGsWrOO23fvUVpcQuqLFBrOjtC6F7pmtuTev/DO+2XX\nbiACsZi49WMw9w3Eqlkw+jYuAFRkp1B07xj5D84zb+4cZs+coVG3sLCQVm3bk2PohW63TzU2egVC\nEbpOjcGpMRXJN+kQ1IXLUee1HNZqqOTPHun3BnTj4+P9vby8WgArfv3sfxo/Pz8CAzvQqEtfHO1t\nSUxNY9r06fgEBiOVSRGLdfh6yRKWfvsNN+4/5FbMQ2bOns3KFd8RdeMO8YnJjB07ljOnT9N24GiK\nSkrxrFsXkUhE477DMTM2IqeolI8/HkfTsFF416lNTHwCc+bNI3jiHJr5enMj9jFz5s1n7uLFHLgQ\nTezTJGbMnMn2X37h8fjPeJmdR+u2ARo5Tmv4awnp25c7pw7g5Fn1xqllLScGffYtHQeP5dTWtdy/\ncJy46xdRKmQYmpghKy8jJDSESxfOU79+fY26UqmUzt26Uy9sEh7temmUKWVSRDrVJ5Jp1G8iJxYO\nx8TOGZdWXdE1MsXKzVfruNykOC6vnMSkiROwtbXl8ePHHD58+E2QOwQClEo1+rXcMHT0oaIsDRNP\nO4Ri7b5NPZrxfP9yyrOeo29bdegIgUCAXet+WNQPJPvWUZ79/CmqihIQCLC0tmPMqJF8vGd1lft6\nM2fPIUdcC91GA9+5iavn0pwKpZS+YQNIiH9cs+FbBX+26LcBTgLEx8ff8PLy+n8zxxKKRJRVSMku\nKKK8ojJSoEwuw9Pdg5dZWejp6aFSQ2ZuAQqVErFIhBp4lV9EhUyGWCxGKBKRV1xKeUUFIpEYoVBI\nSbkUJQIEQiEikRipQkF2YQlqKj1KFUoVmQXFqNSV71VqNa8KS5AplYhEYhCKyCkuo0wqRyT+z+WU\n/Tsy/uNxNGjUmK4fTUXPoPpww7bOdRg6/zvOunmRff8KI4cPIzY2ltjYWI4cOoS0vJzQ0FAaNGjA\nkSNHSE1LI+FZAhhaagk+gJ6JOaW5mVUKOYCxjSOdZq3l3LJJvHx4Ha+gAVi4vM2QVl6QQ1LUfhLP\n72Xl0m8YNUrTiSslJYVmLf2ReLbFsLYv0ryXVOSmU5r+FLVaxe2F3ZGYWKJr6YDery+DWp5YN+vB\ny0s7cQ19t3WNxMQaywZBFN4+SMqrV5ibm2vlQ7579y4rvg/nSvQ1SkuKycvNxSJs1XuJuG6dNuQ8\nPsTly5drzJer4M8WfROg8DfvFV5eXsL4+Pjq3QD/B3jw4AFnz57lxsWzTPx0BimpLygrKyPxwV2c\nnRzZvHUbc79YzPYf1tK9SxB37t2nc58wpk/8mM8+nUJuXh4OdRvSq3tXdm9aj1KpxLtFWyQ6Ep7e\nvISOjg6hw0ezZu1aUu5GY2VpwdLw9Sz66kuO7/yZFk0acTrqEsMmTefrOdMYM2QgaRkvcW/ZgY8G\nhrF2yQLKyyuoF9iDmJiYmtH+vwkXFxfCQsPY8eVUhn21DvE7Rt/Jj2K4tPtHzp89o/H95OTksHHj\nRiZNnkz2q1eY2Dhg7dGA7MQHNBv0aZVtubboTMKlw9RuXn0+WovaXgR/vZun5yOJWjEFgUCApb0T\naoWMvIxkwsLC2BqlPcNQq9V07fkBxs1DsG0dqlEmL87HokEHzOu2RlaQRUVuOhW56Uhz06nIScOp\n2zgeb5xExrmfqdVxRLUCLc17yYtdc1ixbJlW1NPMzEw+6BNK3NNExJ6dEDcaQ0XKXXR04xEZVp0X\n+PcIBAKo05GVq9fWiH4V/NmiXwT81h1US/C9vLzaA+1/V+/dwcr/w1RUVGBsbIRMJiegTWu8vTxZ\n/n04FuaVp21jbY1SqcD61z9gaytL1Co11laVf6QmxsaIRSKsLCotKcRiMQYGBhjq67+x0DAzNUFH\nLMbEuHLEaGNlhVyhwPrXQF7Wlr+2aVlp52xuaopQIMDasjK8rZ6eLsZGhpSXl//7bkwNrF+3hr6h\nYfwwbRjdx86itk8DDbGTlpdx8+R+zvy8iu2/bNV6ICclJfHdylV49xxOUMuuZDy6QdK10xRlvuDJ\nuQhkpcU4Nw1Ez/jtv4hb627c2rmCosxUTOycqz03PRML/HqPxsi6FjkXdxH+/RIMDAzw8fHRMH1M\nTU1ly5atPE1MIjPzJemv8qn3YYhWe2IjM2T5mQjFOuhZOaJnpb0M4z1yGfFbZlPy4jG2rUIw9Wz+\nJt6OrCiH/DvHyL9zhEVfLGDs2DEadbOysmjSvBXltVphFDLlTb2ypxfRsfXW6utdiK3defyk6tDV\n/0+Z6uXlVfC7z6Li4+Ojfn/gn2qn7+Xl1RfoGR8fP9LLy6slMD8+Pr7He9Rz4b/YTl8ul9O+fQA2\nlpZ4uNXh5+07CQhoR0ZaGp3at2Pzth107dqNi1EXGBwWwoGjx2nYqDEnT51k9NDB3LwbA0IxDx4+\noH+vYPIKCrkVE4tILKKhjzfWlhbs3H+IJo2bICsvpVWTRvy4fTfdunXjzq2b9Onemd0Hj9KmXQAn\nTxxn5MBQoqJvYmVnz9UrVxkW1pvnL9JIz87j0uUr/5bE4TW8RalUsmrVKlauDkfX0IQ6jVohkkgo\nyX1F7KXTtGnThi8XLtBKWp+RkYFfw8Y0HTmf2k3bv/lcXl7G1o/a0u7jr0i+cYb02GtYu/vi2iKI\n2k07oG9mxcPj24i/sJ8uczehZ1J9kpj81GdELR3H4f0RBAQEaJQlJSXx8cQpXLl6BauGnZDYuJJ5\n8xhWjYKw9++r1VZhUgxJB1bgN3XLO5dZVHIpubEXyLp+kIqcF5hY2SNETUVhDv0HDOCTyRPx9dVe\nmmrTviOPyq3Rb9RP4/PCqz8hNLDE0O/dIRp+izznOWaPt5AY/+i96/wv8t9gp38ACPLy8nqdfmfE\nuw7+X0FHR4fTp8+wadMmCgsKuHjxIt7e3mzbto2kxER27txFQEAAx44d48b168xfsJDQ0FBu377N\nsaNHCe1fmewhLS2NHdu34+Shz+oNPyAQCNi8eTPlZWVcv34DJycnfv75ZzLS0zly9CjNmjVj//79\nxMTEsOL7VfTs2ZNLly5x9uxZRo0bz5AhQ3j69Cl79+6lnXd9Ro0aVSP4/wFEIhGffvopU6dO5fTp\n08TExFBWVoZVQ3d2hC/F2fntaLywsJDz58+Tn5/PoSNHcGjWUUPwAcS6eqhVSmo3DcTNvxvyijLS\n7l8l+cYZbu38Hovanrg0D8LepxknFg6l8cCpODUO0EhmLq8oI+nKUR4f2MDG9Wu1BP/hw4cEdOiE\nafM+NJi1F9Gv3rmpZ7ZgUbdqk18T1wYIEFD47BZmntWHXxbq6GLdpCsSM1sKT67k0P6d6Ovr4+Li\ngpHR272P5ORkNv64idiHceTn53H7zl0sB/2o3Z6BOcrirOq/gCpQFmVib2//D9X5u1DjkVtDDf8G\nnj17xpJvl7Jv3z5qeTVAYmzG02vn6L1kF2YOdbSOP/H1OFxbdsUjQHMjVyGTkvHgGs9vnCH1ThT6\nJhYoFTIUMin2vi0wMrNEXpLPi3uVKSMXzJtD8+aaAl1YWIiXjy9m7Udg3bizRtm1+d1oNGMnOoaa\ncX5ek//kOokR31J31Er0barPdFWRk0bSz5+y7acf6NVL8xrS0tIY/tEYoq9dQ9+jHWoLd8qeRiG2\ndMWkuXZSdkXxK3IiZ2A9YD0CnfczSZZf+IZVC6dqha/4/8Z/w0i/hhpq+B0XLlygb2g/PDv3J2TF\nIQzMrXn55C6ZyQlVCj6AT5cB3Nm3Afd2H2gspYglujg3aY9zk/YoFXJePrzB85tnSbx8lFf3L1G3\nXTtad27NkG3rNJyrCgoKOHbsGNnZ2URHRyOy9dQSfACxvjHykvxqRd/cuyXO3cYR9+NUagUOwapx\nZ8R6b0fviopS8mLOkH1pOyuXfqMl+ElJSbTwb4vSNRCz/hsQ6lQGmSt5cBQ956pDJYuNbZDYeVP+\n9AIG9aoPFPcaeW4KirzkNzGSatCkRvRrqOEvJDY2lj6h/QiYvBSH+m8Tk0hLitA3rd4axalhW27v\nWUvsoc006D2qymNEYh0cG7ZBx8CIl3cvEP79Cm7cuEF4eDh79uwhNDSUZs2asXPPPiIjI7H0aITQ\n2IqXd8/j9eEXVbZpUbcVOTHncO7yUZXlADZNuqBv40zGpT2knfkJI0cvjC3tQF5G3rO7BHbowLzj\nR2jZsqVGPZlMRmCnLqi8gzHw6apRplbIEFRh//8a4+aDyTuyAJFpLXQdq3e6UhZnI7u0gvAV39U4\nKlZDjejXUMNfyMzP5uLXZ4yG4APo6Oojryirtp5QJKLrrDUcWTiCiuICGvYZja6R5uhbpVSQdO0k\n93YsY8/O7XTr1o1hw4YRHh5OdHQ0a9asYcHChYj1TbBp2hWbZt0Q6Rny8t4FTOpULZz2rXrzYONU\nHDsOqdIJ6zXGTnXxGryQ9AvbMc+6y4SPemFsbEzbtm01Evnk5eWxf/9+MjIyiIuLI1+hi8nvBB9A\nqGuEsiyf6qJG6Vg4Y955BvlnlqPn0R6DukGIjN+GclDJSpE+u4Qy7ghffj6X4cOHVdNSDTWiX0MN\nfxEpKSlcvXqVAesWaJVZuniRl/KUiqL8aq1vDC1t6bVoO9e2LmXvlG44NwnE1rMhQnFlQpPnlw/j\n4e7OqePHNEbVIpEIBwcHTp+7gM+IJUiMzcm+f4FHP81BrVKgUigoefEEIydvLSscAztXTOo0IDFi\nKe795mjls/0tpS8Tybseyb5TJ7T2DVJSUvhs3gIOHjyAQe1GKAxsKX16GZMWg6tsS8+lOeVPL6Ln\n3KTKcgCJvQ+Wfb6h9MExcg9+hsjQEmMre4RqOaUZ8XTqFMRnyw/WxJ76A2pEv4Ya/iIiIiJwa9UZ\nHT3tqI96xma4NO/AkwsHaNir6jDIAPqmFnSY/A3lhbmcXDwGS0Uerq6uOLrbM2Thafz83qZblEql\nPHjwgKKiIlauDse8WTBWvm0AMKldjzrBE8h9eJknOxfxdNdXqOQyLP0CsPJrj7FzvTcC79l/Do82\nzyR++3xqd/8Y/d/Z46uUCvIeRPHyxDo2bVyvJfixsbG07xgEboGY9wtHZGCGWqmg8E4kei5V5941\n9O5A8e09KEvzEBlWHXMfKtf3Tf1HoGPtjnnKcZYu+gQDAwMaN26sYa2Tm5vLrl27SEx6DoC7Wx0G\nDBhQZQL7vxs1ol9DDX8RGS8z0beqVW25X48hHFs0FtfmnTC1r97JCiAnKQ5lcT6nY25iYmKiUfbi\nxQvC16zlx02bkZhYItYzIDPxMS3m7dM4TiAQYOnjj0jXEM/BCxGKxOTERpEQsRxFWRGW9dthWb89\npnX88B29nNTTP/Nw3QQMa7lj6t4EoViCojibwthzeHl6sunQfi2P16ysLDoEdUHYZAgGHm/L1PIK\nBGJdBKKqJUeoa4hh/R7kn1mORY/5CHWqT/CiKMxAfmcbG/fupHNnzc3ojIwMpk6bwZHDRxDb+lAh\nqcwgpieLZvrM2XzwQS9Wfrf0TUC5vyM1ol9DDX8RuroSlIqiasut69Sl2YBJHPtiJEEzvse6ilg6\narWa59dPc/Pnrzl+5JCW4F+4cIE+of2waNARr3HhGNjWJuvuGaQiAyQm2qNagUiMvf8HZF47iEfY\nTAzt61C7y0jKXqWS+yCK50fCkRXmYOnbFku/9jh2+JBn2+ZjmxdLo0aNsLP1ot+aedSr9zbIXEVF\nBdevXyc/P///2jvv8Ciq7o9/ZmZreq8ECJAMHaRIlRIQpIuAgoKKHUHF+tNXUV98LRQFwS4iKDZA\nEEV6CQJC6CoiAwghdEhISM+2+f2xARJ2N6KiBHI/z+MDu/fszNnB/c6dc889h6/mzEWPbYZ/Uvmb\ngWS0oDtK0J0On8If1PIWcgpOk/Xt8wS1uRNTbP1y4Sfdaaf4wEbsWz5l8sTXPAR/7969tL2uE3nB\nDaHt0zhMAecEzgHotfNZsDWVVc1asmHdGurUqePz3+ZqRoi+QPAP0bBBA+YsfbdCmwbdBmHy82fp\na6MIia9F3esHEhJbE5fTSeb+X/l95Rysis7KZUs8asRv2bKFfgMGUfu2FwlNOh8Lt+fnYPZRrx4g\nrnVftky4nZxruhJSx50m6RdVHb8ut5PQ5XaKs46S+XMqGUumUXjyILLLwcgP3mfw4MGYzef7+B4+\nfJhJb05h2rTpGENikK1BZP2+g6iB4z3OKSkGTNEqxembsdZu49UvSZIJ6fQgBbuWkbv2fZBkzAlN\nkUz+GOx52NI30qB+fV6bN5uUlJRyn83Ly6NjyvXkRl2HnOA9pi+ZAiCpN3mHwuiYcj3arl/KbRar\nKgjRFwj+IW666SZGPvQIZ44dJDjW90ampPY9qdWqK/vTVvDjx68RGR5GQEAAyUlJjP3oXTp16nRu\nxqvrOkVFRZSUlHDviJFU6/VgOcEHkA0mXA6bz/OZgsKpd/tYds0cQ52bHie8cadyM2pLeBzxnYZg\njUzg4Lzx3H7rMKZNm8bo0aPp1asXAwcOJCQkhBsH3IyhVnsC+72KMSSO4iM7UTJPYgzzHqoKbNSD\nvJ2LfIo+uENQAQ2641+/G2fWvE2S4Sg3dO1GeHgYvXpNoF69eudsi4qKWL16NZmZmaSmppIrh/kU\n/HLnSGhLXu5ePv30U0aMGPGH9lcbQvQFgn8Ii8XCPffczcIvp9DpkQkVZsIoRhMuu41qsdHs/nWn\nR1ZNdnY20z/+mDffeodjRw6hKAackoF2t070OJZ/XB0yVn6G7nL5PGdoUnMa3TMe7atxHFwyjejW\nfQmIqw1IFJ04QPaW7wi2Gln6/Xe0b+9eDD527Bjz589n3LhxbExLwxxbn6DIZBQ/d/aRqzi/wkVY\na+02nEn7goJdy/Cv77kxrCz2rHQ4up1Z638oF0oCOHLkCOMnvM70j2egBMfhMgVTcPjNl+/KAAAg\nAElEQVQXlKZ3cLHFxYujWzPhjSk88MADVa7mvhB9geAfZOyLL7C6Uwo/TnuJNnc/W64+Tln2rV/M\n9i8ms3bNag8RWrx4Mbfcehth9VoT0/8p1MRG7Jn3JrLJ3+vxgmrURzFbyd6zmbC63rNlAIJqNqTF\nU5+Qe+Bn9nz+EkpUOKEhITRIrMmIWdPp0KHDOV9cLheyLNOjRw++XrCQkFZDUPzDyNu1nMyVU7Em\nNMYQEo/L7rvKq6QYiegzhlPzn8NVkk9Ao94eG7J0Xaf44BaKf3yPmdPe9xD8n376ic5dulEc1hhn\ni9HI/pG4CjJxHd6JMeziY/RyeDIndn/JwYMHqVmz5kV/7mpAiL5A8A9itVpZtXwpAwbdwrxH+5LU\nZRBJHXpjDQ7HUVJExo517Fsxm+LMo6SuWuEhcsuXL+eW24ZR967XCKl1Pj2zOPskEU06ez2nJEnE\ndxhE+qIPCK7VFMVk9mp31tZemIe/AXbt2OpRsC8rK4uPPprO5LfeIScnB9lgojDvDAn3fops8iOw\n4Q04i/Mp2p9GvpaK7chOTn77In512mOt1QrFEljueMaQOKIGjiN79Tsc37EAa3InzDEqyArOM8fQ\n968mPMiP2V/PPltT5hwZGRl07tKN/Bq9UeJbcO4Zxl6IZA78UzN2SZIwWoPIybmwGvHVjxB9geAf\nJigoiGVLFrFp0yYmT32LuY/2pTA/D6PJTNPmLXjl6dH079/fQ3CLi4u5ecitJN8+tpzgg3vRE913\nb6LYVr3I2buVndOeosHwlzFYvS9YZu5cR8bX41i+ZJHH+desWUPf/gMxJVyDsd1DRMeo5G6dh5R9\nBNl0fu+BYgkgoH4XAup34cR3LyGZAyhO30LOuo8wRSfjV7ut+wbg5+4JYAiMJLLvC9hzjpGz9DUi\nXRnExsRQvW4894ybRfv27c8JuNPp5ODBg+Tm5vLyq+MojGiGEn9BQz7FBE7faxi+cDlK8PPz3ENx\ntSNEXyD4F5AkiVatWvFFK3e45Wy4pCzFxcXMnTuXt977kIMH0ykqKEAOiycsybMQmTUinrzDe4hu\n7j02LkkSdW99ln3fTCXt5ZuJbt6dmFa9sIRG47LbyPl9OzmbvsV55jgrvOyo3bhxI7369ifw+iex\nVj9fssGRn4UxJP7C050juFl/Ti2ZSPTA8Uhmf4oPbqXw9x/J+XEmpshErLXb4lerNUpAOM6CLEz2\nPDau3U5ISPk+SpmZmXw47SMmT3mbgqISFJMfuVlHMKd41gyS/MLR7UW48k8iB0T59K0srvwTSC5b\nlQvtgBB9geCycKHgL1iwgDvvvofA+GQiWvcluVsdfvr4BaqnDPH6+bg2vdn8xn0k9rwXxeg9fCMr\nBpIHPEpCp8EcWT+fn6Y+iEEGs9lCvQYNGfvS0/Tr1+9c97azuFwubh4yFP+OI8sJfulB0V1On9/L\nEt+QwEY9OfnNGCL7jMGvTjv86rTD5SihJGMHhb//SG7a58j+ociFWXz80Ycegp+Wlkb3nn1whNXF\nnjwMOTQR2+E0ZCkNyeLZZE9SjCgJbXBmrEeu39+nb2UxHNvA/fdWzf4TQvQFgsvMl19+yf2jHqH+\nXa8Rknh+g1bR6eME1Wjg9TP+UQkEJagcWTeP6p293xjOYg2PxS8smmbNriFt/VqP8aKiImbPns2k\nqe+y//e9lBQXoVtCiK/d2sPWFFqNwgObKzxfyLU3I5v8OD77cSwJTQmo3w1DSCyGsOpY7MWYi0/h\nyDnKdSmdePjhh5k8eTIDBw5kwIABFBYW0rV7T0rq3YoS0+Rc3F4vzkPy811CQanZAdvace5Yf3CC\nTzsAV04G8vFtjBo5o0K7qxUh+gLBZSQ9PZ17H3iQJiOnEFgtqdyY7nKe6xPrjbo3P8HmSQ9gCgwj\npkV3n3andqzi+MqZfONF8JctW8bNQ27DFFUHQ70bCL92NKdWvIW5WhOvC6P+6nWcXjsdR14mhsAI\nj/GzBDXtTUC9FPJ+W0n2ijfwt5qxWCzUq5PEY2+MpU+fPhiNRux2O2vWrGHu3Lm0a9eO3Nw8SkKS\nMfhfEKaRFajgCUP2C8fY+FZsW97H2PQOlPAkr3bOrL0Yd33GZ5/MKNfRrCohRF8guIy8/c67xFzb\nw0PwAczBERSdOoQ5yHvuu19kNZqPepPt7z7OqR2riG8/gNDkFkiyjK7r5OzdSlbaAooO7WL1imXU\nrVu+ufjixYsZNGQYIT2exlrt/BOGI/ckQdG1vZ5TNvnhX7cTOZu+IDxlVIUZM7LZD4NfCHExUaTv\n0zxsCwsL+eqrr5gwaSp7d/+Kw24DxYxiCcG2/g0koxU5rjlKXHMIiMaVvgZd132eU4ltCooR+0+z\ncFhDMVRvhxTgLsKm5x3FemoTRkcen835gu7dfd8kr3aE6AsElwmbzca06dNpNOodr+NxLbtz+Mdv\nCantu2lIQFxt2jz3Occ2L2Xf/DcpyjpKUGg4tqICYmJjefqRhxg2bD6BgeVTJ7Ozs7l5yG2E9HwO\na3z9cmNuYfW9kSys3e0c/epJcjbMIqTNUJ8iXHhgM0U/fsDilcs9bNauXUuffjehB9egOK4Dhp73\noe/8GhQzxvo3Ymg8BD37AM6j27BtfAtJVtBt+TgPbUBJaONb+KMaIHd5CdeJX3DtmktYsD8BAQHU\nrFmDR8ZOoFevXhgMZXoJ2+0UFhYSEBCAolzs1q4rGyH6AsFl4tChQ0hGC/7R3sMM1dr24YcXBlKc\nfQJLqO9aOgazHwnt+1OSeYT2cUZefGEMgYGBRERElNtctXTpUt7/aAaHDh/l1IljKLENPQQfwBAY\nge30YcwxyV7PJ5v9iR34CscXjKXo4DYCm/TCP/k6ZIMZXXdRfOhnnLuX4Di5h+VLFtG8efkyEevW\nreOGXn1xNL4LJbrBuV20emEWSjV3dpMkyUhhtZHDamNoMBD9TAb2nV/j+OUrHHsWocRegxJ7DVJo\nTY8blCQrYLAQZDVw6MDecvWCAAoKCvjiiy8YP3ES+/buxmA04XI46Ni5C08+Pppu3bp5LLRfTQjR\nFwguE0VFRRhNvlv6mQJCqNX9Dra/+zjNH5qCKdB3iYNjG7+n4NdUXpu5yaNs8MKFC7n3gZHYFD8M\nda/HVLMZx3+bRHSvfl6PFdSwK9mb5xNYP8XrOIDiF0LcLRMoOriN3O3fkrViCha/AOwlRSTWSebx\nR0YxdOhQj4JmNpuNvv0H4mg8HCXa+yL1hUiShBRSA1PbR7BtfAtcDpAN2H/6DN1RhBLb1H0DCKuN\nJMk4MzWMv37KNwu/8RD8TZs2cUOPXjhN4RT5JWNq5K47JDvt/KDtZfPQe6hVPZblSxcRGRl5Uf5d\naQjRFwguE2FhYRScyapwwTbx+qE4SgpJm3gPidffTkzLbhjM5zcU5R3Zx/F1cynev43Ulcs9BH/W\nrM8Y8fCjhHR7gsDqjZEkCZfDhiM/C0uc5ywfwL92a06tfI/io7t82oB7Ru2X2BJH1kE6NIjns08+\nxs/PD6v1fC18p9PJ4sWLmfruB+zff4C83BzyCcQQ7VlGWvILx5V7BCXee/csSVYwtXoQ+7YZOA9v\nwlCjPVJYbVyn92HfORu9KBujxQ+jq4RvF8z3qPW/fft2Urp2wxbRDiU4sVydHkkxYgivjy2sHntO\nbqZNu+vYujmN4GDvDeKvZIToCwSXibi4OBJr1eLUrxuIatTeq40kSST3uZ/w5OYcXD2bvQveJiA2\nkZDQcIpzTmLPO83IEQ8w6usPPWamv/zyCw+MepiIAa9gjqh57n3daUdSjD7j4pKsENV1JCcXvkrM\nTS9hKvPZCynYsw7HrwuZunG9R1eqFStWcOuwOymR/SmOa48cfw22E59iSL7e67EMNdpT8uNkDGov\nnzdBSTFiankvrpwMHPtX4UpbjKS7kGSJ6jVr06JpI9LT0xk8eDB9+/Zl4MCBdOnSBaPRSP8Bg7CF\ntUIJTvT5fSRJwhXRkmMn1vLU/z3D++95X2+5khGiLxBcRp545CGee/09Ihu2qzATJlxtQbjagp/f\nHU3/Ds3p2rUr4eHhtG7dutzmqs2bN7NgwbeczDrN+vXr8WvSt5zgA8gmK7gcOIvzPGrjnMW/TmvC\nbYUcm/sfghr3JLDRDeVSNEtO/o5t12Jch7exavkSkpLKZx999913DB56B66md6NENzjX8NxVmIns\nI51SDklA8ovAeWgDhhreb4LnbaujhNehUYSdLWnrURSl3PXbv38/L7/8MoMHDyEvLw+D0YDTZcBQ\nr0sFR3UjSRLOsGuYNWsWr08cf9XV3BeiLxBcRm655RZeHjeBg8s/oWa3Oyq0zVj9FabCLF577TUP\nIVq4cCFP/WcMR46fxJzcAQxWMndrJN73jMdxJEkmILkdeb+uIKS57x2sQfVTsETXIWf7dxz59EEU\nvxBCwqNwFJ5Bdhbx0IMjGPHADKKiyufUZ2RkMGToHbhajkIJq1X+oKXxeF+Ymg6lZN1EJEsIipcQ\n0FmcJ3Zi/v1bZv6wulw2DrgXim8aeDMlLhNFoddiiA7EcSgVcGL7dQZyUHWUkNrIgTWQFKPX40um\nQJTAOGbPns1dd/nuYXwlIkRfILiMWCwWVi1bwnWdUtCyT1K961Cs4bHlbIqzT3Jo1WcU701jbeoq\nD8GfMvVtnn1xLKFdRhLfqyWSrJB/YDuW6CQM/p5lCwBCrunD8cVvENy0t0/hAzCFVyeq60iMuo0+\nzaoxbOhthISE0Lhx43Niq+s6mzZt4rMvvuLoseP89tsunDHNPQUfkMxB6AWZSCZ/r+eTQxIwtXkI\n28a3ccU0RknshBxyvgGNK+cgpiNrMWX+yuLFC2nSpHw6a2pqKr363Ig9uiNKcM1zcXuHpGCs2QXJ\nGIDzzAGcWbuwZ6xGDqyGEt4AJcgzg6pICuXXXbt8XpsrFSH6AsFlplq1amxJ28AL/x3LzIl3EVar\nIaboWuhIOE6lk7V3B0OGDOF/n6d5zKoXLVrEsy+OJWbwBEwhMefe1+1FyGbfFSQt8fUxhSdwcumb\nRN3waIU7f/N2LkM5tYvx42Z5rBssW7aMh0Y/wdGTWTjiWqObgijZvQ9ryi1ej6UktMJxcB2mUN+d\nxJTwOli6/BdH+lpsaW8juRwEhUbhtBVgMco8PHIE998/2+NanDlzhr79+mOPTUEJvKAUg+4CJCSj\nH4aIBhDRAN1RjPPMAfTibPAi+kgSJSV2n35eqQjRFwgqAeHh4bw15U3GvfoK8+fPJz09HYDq1Ttz\n0003lZvd79+/n7S0NAoKCnjp1QmEpowoJ/jgzqV3Fvluyi5JErG9n+bIvBc5Nu8FwtoNxRyjlouL\n23NPUrBjAVLGRtasWuEh+J988gkjHnoMvfEwlEZNMEoyrtxj2Ez+yEGxF54SAGOtjhQtG4Nerx+S\n2XesXLIEYazbC9lVQq8Gfjz7zP8RGBhI7dq1z22i0nWdDRs28NHHM0k/mMHRI4exGaM8BR+QjP7o\ntjPgd/47SAYLhvB6HrZnMbkKqFG9ms/xKxUh+gJBJcLf35+hQ4d6HVuxYgX/e3UCm7dsJrjWNdht\nJeScOElSHc/uWNY4FXv2EexnjmMMjvFyNJBNFqoNeonsLd9wYuE4JKMFa6yKyWJFyj9BwZHfGDZ0\nKGPmb/ZIBd2wYQMjHnoU2j2JIej8mO60IRl8N22R/cIw1OqIbeNUTG1HIxmtPm2dR7bgd2oTk17f\nTI0a5Z8MUlNTuee+EZw4dZqSwLroxiAchzMw1bgeb8vhSpiKM+s3lJCL666lO224zuxn8ODBF2V/\nJSFEXyC4AvjfK68yftJUgtrcRs0RDyEbzZz44VOCg+K8hmZko4Xghl3I2bGIyI6+FyIlxUhYq0GE\ntLyJk589zMBrq9GwYUNiY2Pp3bs3/v7nY+/79u1j9erV5OXlMe3jT3El98UYVP5mIBn90EvyKqyR\nY2o0ENu2TylZ8yrGev2QY5uW+w6ugkzkg6vxO7WNVcuXegj+N998w23D7sQe0wm5Tm0USUJ32nEc\nWIwUEHfh6dzXIzQJ+5F1uIqykK2+q3We8yH7Nzpddx0JCRVX7LwSEaIvEFRy3nv/fSZOeY+4297A\nGHhesJzF+RgrqHQZ1vJGDsx4GP/E5vhdWBf/AvK2LyAi0Mi7777rUV9/1apVPD/2ZbZt244pvgl2\nJxQe2E1Avwc9jiP5RyCZ/HGd2o0S5T10Ikkypma34zy8Gfve5bh++gxDaE38AoORSnJwZGdwx+23\n8/RTH3iI7q5du7ht2J04qvdB8S9TmkJ3ZwX53ntgwBjXDvuBRZjq9EMyBfm8Fs7cg5hzdzJ50nqf\nNlcyQvQFgkpMUVERTz39H6JvGVdO8ME9m3fZin1+1hQSQ7Ub/8Ph+a8Q0elugup39sjUcRbnk7dl\nLkrGj6xev9ZD8KdMfYtnxvwXvd4AjD1vA8WE/vsaDLYSr2EcSZIw1O6Mfd9Kn6J/zi7hWgwJ18KG\nSQzs0pQOHToQERFB165dy7Ux3LNnD99//z3Z2dl8v2gJjtCGyP4X1CKSTeBynNt45g0loj6600bJ\n3nkYopqhhKlIyvnv4Co5g3LmN6wFB1i8+Hvq1/e9G/lKRoi+QFCJmTNnDn6xyVgiPbNd/KvV58Ta\nWURe530NAMC/ZlOqD36ZE6s+JPOHjwmq3wVTeDV0lwsy95G3Zx3du9/Ae/M2ER1dXkjnzJnDM8+/\nhNLxP8gB5xdAdXshksn3IqwpsT0Fe5Zi378GY62OFX4/Z/oPhOjZTJkyhaCg8rPvNWvW8PR/xvDT\nTz8jhSZR7JRxndiBufHdHseRZAU5uCbObA1DhO/8fkN0U2T/aBwnd+A4loZsDSMoOAycRdgLs7hr\n+HAef+xrj5DS1YQQfYGgEjNt5ixM9bp6HQuo3YKjS96i6NgerLHeK2ICWGOTqHnbeIpP/M6hz5+k\na5euhIWF0bBzB4YPn15O7LOysti9ezdFRUWMfPhRpBb3lhN8cGe96PYin+eTjFb8OjxO4Zrx6IVZ\nGJO7edwkdFs+rt9X4H9yE6k/rPYQ/BkzZjDyoUexR7dDrn83kmxAyTkA+ceQjN5z/JWopjgOrUEJ\nb1Bxnf+AWEwBsUhHVtG7Q31uvnkQoaGhtG3btlzdoKuVvyX6qqr2BwZqmnZb6etWwJuAHViuadrY\nv++iQFB1OXH8BMaa3ssqS7JC+LX9Ob7sHWrcOg7ZR6/csxRqa2jbth2LvvvGYywtLY3xr09m0fff\nY42ohqOkhIJCJwGRqoetEplM8c9fozsdSIp3CZGDYvHrMoaSn2dTuOj/UGIbo4RUByRMRcdwHt1O\njx49mbJ4E9WqlU+LXLlyJSMfehRHrQEoZRddXe4mK76Qg2qAYsZxZC2G+OsqFH5n9l4CHCeYMmU5\nMTHes5uuVv5y0WhVVScDL0O5DKn3gMGapl0HtFJVteLVI4FAUCFGkwmcDp/j4dfeiCk0joyvnsOR\nn+3VxuWwcXrNdExHtzL3y888xv/3yqt0uaE3Sw8omHtNhA7PURJQHVNSV6/CqQTHIwfF4TiytULf\nZb8wrK0fwL/HaxhO76ZXHRf3dozhfyNvIuPA78yb8+U5wT958iRLly5l3rx53PfASOwxHT2zbGQT\nOEt8nk+SJExJ/XDlH8WevgxXcY6Hje4ownViE/45m1m5fGmVE3z4ezP99cB84H4AVVUDAZOmaeml\n40uBrsBPf8dBgaAq07RxQ1Yd3olfgvfa85IkU63vE5xIncG+D+4hsPa1BDVMweAfgstWTEn6FvJ+\nWUarVq34Km0DERHls30mT57CuMnvYkh5AdnvfL1+V0keBn/f9fvN9XpStHkmSqSKbPVe6uEch9ZT\nK7EmX8+d7XET2bRpEy+/Np6lS5ZgDUvA4XBQkHUEU7M+HoeRA2KxF55Etxf4DPFIBiumurfgOLoR\n2545SJYwZP8YJFnBQiGOnAP06dOH8a99TmKi72qbVzN/KPqqqt4FPArouGf1OjBc07Q5qqqWXaUJ\nAspuAcwDquZVFQguEY+MepDvet1IWKuBvssNywoxKXcT0WYQWWnzOPbtOBISEgj096dXuzY8PO1H\nVPV8mMblcpGbm8vp06d55tnnMF0/tpzggzt/X6/gCcMY3xRndgaFq17B2m5UaeimPLrThmvPIgIz\nt7As7UcPwZ8yZSrPPPcCjsgWSI3uo9hgxZ7xA3JkmNd2jZLB4t5kdeoXDHGtffomKSaMCR0wxLdF\n3vclvTvUom7dusTHxzNgwACPG19V4w9FX9O06cD0izhWLm7hP0sg4PF8papqJ6DTBW//wVRBIKia\ntGzZkurxseRsX0RIc8/Zb1kUSyBSwSnuuetO3n1risf4nj17mPLWO8yYMQO7w4HT4UCObYwSGOV5\nrJDqOE7swlSzjc/zWRr2RbIEUbRmInJQLMaa1yH5hYPLjnxaw3VwPS1btODLJWnExpYvy/DJJ5/w\nzJixOJKGIFvK/PwdRUhm341LlJgW2H77Ajk40TNt80JO7yI82MqsWbMwmUwV2175jFZV9UK9TdU0\nLfVCw0uWvaNpWp6qqiWqqiYC6UB34EUvdqlAOUdUVa0JPHKpfBEIribmzf6Ca9u0B6OZkMbdvNro\nLidZqz4gwnGKiePmlx/TdcY8/yKT3pyKoXZHjN1ewhIQSc63/4elbg+vxzPX6ciZb59Ev2awz4qY\nbrtOmBLbY0//kZIdn1Ovbj0CAgO4tss1PDTyjXJ19m02GydOnKCgoIBRD4/GkXhTecEHkI0VrmHI\nfhEYa3bDtmcexsRuyMG1PJ4gdJcdTu3Av3A3qzesrwqCDzC5TGi9Qi51yuYDwOe4F4iXaZq2+RIf\nXyCociQlJfHj2lS69ejFiV+XYW7Uk8CkVshGC87CXHJ3rabw50U0SK7NwsWry5VOAHjm2TG8M+Mr\nzD1eKRd/dxWc9lkYTbaGYIy/huKfv8ba4vYK/ZMUA0r+Yfr06sk3X8/2GN+9ezeT35zKrFmzQDbg\ncNiwyUGYvczU5YAYnMe3Qbzv8I0SroLBguPgSji0BjmiIbIlFHQXBtsppNO/0bJlSz6duZnq1b03\nna/K/C3R1zRtDbCmzOtNgO/nQYFA8JeoV68eB/bt4bvvvmPCpKlsXfIm9pJirP6B3NCzJ49//QVt\n2rTxmPVu2bKFt979AFO3l5CtF4RNpLNLdN7xa3kHecvGUrT9SyxNb/YaZ9d1F65f5xNetI+Pp6Vd\nMKYzbtwExr78CnpEE/S6dyJZgrH/+jmGyEZezymHqdgPLP/DGjlKcA3kRsNx5Wbg2v8tTa9pRkhI\nCE0adWDEiM+pVcuzlr/AjdicJRBcIRgMBvr370///u5uV96Kmp08eZIPPpzGzFlfcDork8KiYuTk\n7p6CD8iB0ThPpyPHec+sls3+BF7/HAVrp5D/3ZOY6qRgrN4SyeSPbivAeXgLcsYa6tZJZNGK9YSG\nhpb7/IQJE/nf+Mm46t2JZA46l9ut2/KRLN4zgyRZwRDTDMfBVRjVAV5vNOdsJQml6BjNW7Rgw/of\nfNoJyvOX8/QFAsHlpazgu1wunvq/Z6hRqw6vf7GazFqD0Ns/SUlJCeakFK+fNyd1pmTPigrPIVsC\nCej6H/zbj8KRuYf8xc9iW/QEhh/H06MOrFg4j00/rvWotZ+ens4L/30JR51BSOYLi5vJpU1NvKNU\naweSjH3vAnSnzauNrrvgRBrBtv3Mm/tVhd9BUB4x0xcIrnB0Xeeue+9n/vIf8e/7+rlZvSP7MJI1\nFNnivaKkJbEtRdu+wJG1H0O473CIJEko4bWwmk08+p+n+e+LL3jYHD9+nPff/4Bp02eSeeoEDqcT\nwhti8JKJI1nDcOUfRQ70XgZZkmSMdQfg2L+Ukh3voUQ0QAmv7y7b7LRD7gGMZ3aSXDuRhd96ZgYJ\nKkbM9AWCK5zPP/+c+YtWYez0VPkwju5EkisIjxgt+Le5j/zU13FkH/Rpp+sunD99Rs1AO//31JMX\njOm8+N+xJNZOYsLHizgZcT2uax7C4ZKRY1t6PZ4S0wzn8W3ouu/1BEk2YKzTq7S4moRdm4PfoflE\n5KzixjZxrF72Pdu2pHk0dxH8MWKmLxBc4bw8biI0GoR8QRcq2RqKq+A0usOGZPCetmiu0RLdaSd/\n+SuYarbGnNwVJcRdw1532LAd3IgxYzVqtQiWLV5eruQxwBNPPsUHM2ejNxmB0xyIDOiOEneuvp/3\nTVBysLuCpStzF0qk953G5x0MwmSAW4ffwbQP3ruIqyH4I4ToCwRXMFu3buXQ0RNYmjf1GJOtQRii\nkrAd3Ii5dgefx7DUaosxui7Fe1aSt/xlJN2Jn38gJYVnaN22PU+99zo9evQ415v2LMuWLeP9jz7F\n0WA4krHszUAvzQzyjiRJGNUbsf36OSgmlLAkr3a6riMfW0esJZfXJ4yr+EIILhoh+gLBFczWrVsx\nxjb0Gcax1utOwbbZmBLbIsm+f+6Kfxh+TW7ClPkLk//3DCkpKYSFhREYGHjOJj8/n1mzZvHF7Hmc\nzs4m4+BBSqLbYTD6XXAwEyChl5zxubtWDojFVH8wtl2zcZ7YgRLTHDkkEam09aEzcxd+uTupHhfG\nymVrCQ72vUtX8OcQoi8QXMEUFxfjkrx3igIwVbuGot3LyV//AQHt7vdZv0d3OXFsmU6T5OoMGzYM\ng+G8NOi6zgsvjuX1N95ACU2kOLgBEIk9byfmhp4NSyRJRoluguP4dow1Ovn0TQ6Mx9xiJM6Tv2A/\nsAxKsjGb/bDbi7muY2eeevwdunfv7vGEIfh7iIVcgeAKJiwsDMXmWUL4LJIsE9x5NHpJLrlLX8J2\naJu7a1YpusuF7fB2HGteo2GEi++/ne8h+HcMv5tJ732Ks/ED2JMHo0Q3AsWEHFgNSfG+VqDEX4vz\n+PYKm62AuziaEtOMgJBIJk+axLGjhygpLiZ15XJ69uwpBP8fQMz0BYIrmB49eo8nNtIAAAwdSURB\nVHDfAw/iV5zrMzVTMloIvv4pSn5fR9HP8yjY8CGWsGpYrVZspw8RHxvFUy88yrBhwzx65E59623m\nL1qNvf6d5XviutyNyH0h+0ehRDfC9ttXmOoPRjJYvNrpuo58aAV14oO4//77sVi82wkuHUL0BYIr\nmPDwcHr36cuSvauxNOrn006SDViSOmFObEP+16N4Y8wo4uPjqVGjBo0anS+J4HA4+O6771i7bj1n\ncvP48qvZONQhyBc0QZdM/uglZyr0zVC7O469i7Dt+AglvjVKVKNzTwa67sJ1eh/m09tISghlxdIl\nQvD/JYToCwRXOP99/lkWt2mPLaIOpljfKZC6y4F9w7v069eX+++/v9yYy+Vi3LgJTJw0CYcxmEK/\nWriKstFdZkxBCR7HkoIS0O2FuPKPIwd47z4lSTKGpF64sn/HeWQTjvSVGP3DCAgIoCQvi1o1Evi/\ncc8yePBgzOaKWz0KLh1C9AWCK5x69eqxYN4c+t00iKK6vTEndUY2lc+osZ/ah/7LHJonxzBz+rRy\nYw6Hg/4DbyE1bSe22kOQA+MwAPa9i5GjGnltmSjJCoa4ljgPb0Sue6NP3yRJQgmrgxySiPLzu0x4\n+TkaNGhAXFxcubLLgn8PIfoCwVVASkoKG9at4elnn2fl/Iex1miBzRSKojuQszRMzkIef/RhHnt0\ndLmFWoDRjz1B6ubfsDe4E7lsnN5pgwvr3ZdBSWiNbdPbOI5uwRDXwqedrrswHPie1i2bMWLEiAob\nlgv+eYToCwRXCQ0bNmThgnkcPXqUBQsWcOrUKcxmM40a3V8u9VHXddLS0tizZw+nT5/mgw8+QG79\npGcev8GMbi/0eT7J6I/xmuHYtk9HLziJUq0NsvV8pU1d19FzD2M8vo7GtSJZMH+uEPxKgBB9geAq\nIy4ujhEjRni873A4+PDDDxn/+ptk5uQhB1enOOcYzpBkFFOAh70SURf7zq/Qa3X1WeJY9ovE3OJB\nHAfXYNv2PrJfFIbAKEwGBbnwKFaDi8dGP8To0Y9UlQ5WlR4h+gJBFaC4uJhefW9k0850Sqp1Rq6T\nhCRJ2NPe9hmakYJrgGLCdXofSniyz2NL5kCMyb1RqndA3zyJ55+8h9DQUJKTk0lJSUGuoOib4N9H\niL5AcJWj6zo3D7mNNO0Ujkb3oJTdlWsvRPIyywf3IqwhMQXH7m+QW4xAMgd6tQP3jl5T+kJuvv0O\nnn322Uv9FQSXEHELFgiucjZt2sSqNetxqLd4lmEwmNwLtj5QYpqgVGuFbet7uLL3ey2H7CrMxKh9\nzrX14njvnamX2n3BJUbM9AWCq5yJk97EHt0KWfGs0SMH18CZ+RtyaKLPzxsSU5Asodh3fwOSjBLd\nFMwB4CzBr/AAet5RHhwxgv+99F+PzCBB5UP8CwkEVzEul4sF8+cht3/O67hSvS22jVMx1LoeyctN\n4Zxd7DXIMU1xHt6IIWMFvXr3JigonM4dbmbQoEFiN+0VhBB9geAqJi8vD0lWkEz+Xsdl/yjkkJo4\n9i3BqPap+GAuB5acnYx58XmeevKJf8Bbwb+BiOkLBFcxJpMJp8NRoY2x0WBcp/di175z96D1gm7L\nx/jbp3Rp24QnHn/sn3BV8C8hRF8guIqxWq2ER0bhOpPh00Yy+WO6diR68WlK1r6Cfe/3uLL348o9\njDNzN4a9c5E2T+KeIb35evaXIgXzCkeEdwSCq5xHHnqQV6ctxBFc3aeNZPLH1OxuXAWncPz2DYbT\nO4mJjiIkNJRbR93C8OF3EhYW9i96LfinEKIvEFzl3HvPPbz8yjhcMa2Rg6pVaCuZAvDTc/l81sf0\n6fMHMX7BFYl4ThMIrnIiIyOZ+fE0DDtn4Dpz2KedbivA+OsMBt/Um969e/+LHgr+TcRMXyCoAgwc\nOBBFURh6x3CUsCSKo1oih9QASUYvzMRwfDOuY1u59/77mDhhnCiMdhUjRF8gqCL079+fY1268Mkn\nn/DGm29zaMd+XE4nIeGRDL9jGKNGTqdmzZqX203BP4wQfYGgChEUFMSoUaMYNWoU4K7LI2b1VQsR\n0xcIqjBC8KseQvQFAoGgCiFEXyAQCKoQfymmr6pqEDALCAKMwGOapqWpqtoamAzYgeWapo29ZJ4K\nBAKB4G/zV2f6jwErNE3rBAwH3il9/11gsKZp1wGtVFVt8vddFAgEAsGl4q9m77wBlJT+3QgUqaoa\nCJg0TUsvfX8p0BX46W95KBAIBIJLxh+KvqqqdwGPAjoglf45XNO0raqqxgCfAg/jDvXklvloHuC7\nM4NAIBAI/nX+UPQ1TZsOTL/wfVVVGwGfA49rmraudKYfVMYkEMi5SD8UgOPHj1+kuUAgEAjKaKZS\nkV1ZJG89L/8IVVXrA18DN2ua9kuZ97cBA4B0YCHwoqZpmy/4bCeg0wWHrI57bUAgEAgEf56PgQvr\nZ6dqmpZ6oeFfFf1vgMa4xV0CcjRN66+qaivc2TsysEzTtDEXeTwz7kXglwHnn3bo32U07u9Y2RF+\nXlqEn5eOK8FHuDL8VIBngRGappX8kTH8xYVcTdNu9PF+GtDmLxyvRFXVDE3Tfv8r/vybqKqaU2ax\nutIi/Ly0CD8vHVeCj3BF+ZlxsYIPYnOWQCAQVCmE6AsEAkEVQoi+QCAQVCEqk+inXm4HLpLUy+3A\nRZJ6uR24SFIvtwMXSerlduAiSb3cDlwEqZfbgYsk9XI7cJGk/hnjv5S9IxAIBIIrk8o00xcIBALB\nP4wQfYFAIKhCVIp2iaqq9gcGapp2W+nrVsCbVKISzaqqSririTYBioF7NE3bf3m9Kk/pdXtN07TO\nqqrWBmYALmCnpmkjL6tzgKqqBtwlPWoCJtyb8XZR+fyUgQ8BFbdfD+AuMDiDSuQngKqqUcAW3MUN\nnVROH7cCZ0pfHgBeoXL6+TTQF3cRyXeAH6hkfqqqegdwJ+4aaFbcenQd7k1kF+XnZZ/pq6o6GfeP\nv2zftveofCWabwTMmqa1BZ7BXWm00qCq6pO4hcpc+tYbwH80TesIyKqq9rtszp1nKJCpaVoH4Abg\nLSqnn30AXdO09sAY3CJV6fwsvYm+BxSWvlUZfTQDaJqWUvrf3VROPzsCbUp/351wl4apdH5qmjZT\n07TOmqalAFtxF7t8nj/h52UXfWA9MOLsiwpKNF9u2gNL4NzO4xaX1x0P9gH9y7xurmna2tK/L6Zy\nXMPZuEUU3NvHHUCzyuanpmkLgPtKX9YAsqmEfgITcZcvOYp70lQZfWwC+KuqulRV1RWlT6OV0c/u\nwM7SEjPf4q4dVhn9BEBV1RZAfU3TpvEnf+v/muirqnqXqqq/qKr6c5k/m2uaNucCU28lmoP/LT8r\nIIjzj6gAjtIwQKVA07T5uEX0LGWfnCrFNdQ0rVDTtILSG/sc3DVDKp2fAJqmuVRVnQFMwV1NtlL5\nqarqncBJTdOWc963sv8/XnYfSykEJmia1h335O4zKtm1LCUCaA4M5LyflfF6nuUZ4EUv7/+hn/9a\nTN9XiWYv5PLXSzT/k+Ti9uUssqZprsvlzEVQ1rfKcg1RVTUBmAe8pWnal6qqji8zXGn8BNA07c7S\nmPlm3PHTs1QGP4cDLlVVr8c9m/4EiCwzXhl8BNiD+ykUTdP2qqqaBTQrM15Z/MwCftM0zQHsUVW1\nGKhWZryy+ImqqsFAsqZpP5S+9ad+65VmpnoWTdPygBJVVRNLF0+7A2v/4GP/BuuBngClvYB/qdj8\nsrNNVdUOpX/vQSW4hqqqRuMO1z2ladrM0re3V0I/h5Yu6oF70d4JbCmN+0Il8FPTtI6lsd3OwA5g\nGLC4sl1L4C7gdQBVVeNwT+iWVaZrWco63OtMZ/30B1ZWQj8BOgAry7z+U7+hSpG944UHcD9Sny3R\nvPkP7P8N5gPXq6q6vvR1Za///wTwoaqqRuA3YO5l9gfcj6QhwBhVVZ/HnYHwCDC1kvk5D/hYVdU1\nuH8jDwO7gWmVzM8LqYz/5h/hvpZrcc9I78Q9q65U11LTtO9VVb1OVdVNuMNPI3CXjq9UfpaiAmUz\nB//Uv7vYkSsQCARViEoX3hEIBALBP4cQfYFAIKhCCNEXCASCKoQQfYFAIKhCCNEXCASCKoQQfYFA\nIKhCCNEXCASCKoQQfYFAIKhC/D8yAVyRDItCIwAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x9557d30>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"a = Affine.translation(x0, y0) * Affine.rotation(30) * Affine.scale(2, -4)\n",
"fig = plot_transformation(basic, a, connector=33)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### And there we have it.\n",
"\n",
"We're all affine transform experts now."
]
}
],
"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": "3.4.5"
}
},
"nbformat": 4,
"nbformat_minor": 1
}
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