{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Devito CFD Tutorial series\n",
"\n",
"The following series of notebook tutorials will demonstrate the use of Devito and it's SymPy-based API to solve a set of classic examples from Computational Fluid Dynamics (CFD). The tutorials are based on the excellent tutorial series _CFD Python: 12 steps to Navier-Stokes_ by Lorena Barba and focus on the implementation with Devito rather than pure CFD or finite difference theory. For a refresher on how to implement 2D finite difference solvers for CFD problems, please see the original tutorial series here: \n",
"http://lorenabarba.com/blog/cfd-python-12-steps-to-navier-stokes/"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Example 1: Linear convection in 2D\n",
"\n",
"Lets start with a simple 2D convection example - step 5 in the original blog. This will already allow us to demonstrate a lot about the use of Devito's symbolic data objects and how to use them to build a simple operator directly from the symbolic notation of the equation. The governing equation we will implement in this tutorial is:\n",
"\n",
"$$\\frac{\\partial u}{\\partial t}+c\\frac{\\partial u}{\\partial x} + c\\frac{\\partial u}{\\partial y} = 0$$\n",
"\n",
"In order to implement this equation we first discretize it using forward differences in time and backward differences in space. Just as the original tutorial, we will use $u_{i,j}^n$ to denote a finite difference stencil point with $i$ and $j$ denoting spatial indices and $n$ denoting the time index. So, after re-arranging the discretized equation for the forward stencil point in time we get \n",
"\n",
"$$u_{i,j}^{n+1} = u_{i,j}^n-c \\frac{\\Delta t}{\\Delta x}(u_{i,j}^n-u_{i-1,j}^n)-c \\frac{\\Delta t}{\\Delta y}(u_{i,j}^n-u_{i,j-1}^n)$$\n",
"\n",
"Using this, we can start deriving the computational stencil for this equation. Let's first look at the original _pure Python_ implementation of the linear convection flow - but first we import our tools and define some parameters:"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"dx 0.025, dy 0.025\n"
]
}
],
"source": [
"from examples.cfd import plot_field, init_hat\n",
"import numpy as np\n",
"%matplotlib inline\n",
"\n",
"# Some variable declarations\n",
"nx = 81\n",
"ny = 81\n",
"nt = 100\n",
"c = 1.\n",
"dx = 2. / (nx - 1)\n",
"dy = 2. / (ny - 1)\n",
"print(f\"dx {dx}, dy {dy}\")\n",
"sigma = .2\n",
"dt = sigma * dx"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**A small note on style:** Throughout this tutorial series we will use utility functions to plot the various 2D functions and data sets we deal with. These are all taken from the original tutorial series, but have been slightly modified for our purposes. One of the differences readers might find is that the original series uses _(y, x)_ indexing for 2d data arrays, whereas many of the examples have been adapted to use _(x, y)_ notation in our tutorials.\n",
"\n",
"So, let's start by creating a simple 2D function and initialising it with a \"hat function\". We will use that initialisation function a lot, so it comes from our utility scripts:"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
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KUN6IVG3iOA5FRUWoqKhARUUFBEFAOByWxM/Q0BDa29thMBgSxI9er2fq9yaIZCGxQzBHLBZDb28vxsbGsHfvXtTV1aWcVJlPnh1x82BpU2fJFtZg8bPJVIBxHAedTofKykpUVlYmiB+3242BgQE4HA4YjcYE8VNcXEzih8gLSOwQTOH1enHu3DlEIhGcPHkSZrM5rXWU8sAoIaIEQYAgCPD7/YhGozQbKQ9gbYOX29u0lvgJhUKS+Onr60NbWxtMJlOC+NHpdMx9NgQBkNghGEEQBExNTaGjowNVVVVoamrKaNPPF89OJBJBZ2cnAMDpdOLFF1+E2WyG3W5HSUkJNYljEEEQmNvQlQ6tcRyH4uJiVFVVoaqqCoIgIBgMSmGv3t5etLa2SueuKH6KioqY+6yIrQmJHSLniBv+7OwsDhw4gKqqqoxvkPlQjbW0tASHwwGz2QyO41BTU4Pa2lqpYmZmZgbRaBRWqxUlJSWw2+3Se5WEOihvDIufTbbziDiOg16vh16vR3V1tSR+XC4XlpeX0d3djWAwKImf8vJylJWVkfghcgaJHSKnuN1unDt3DlqtFi0tLTAYDLKsq2TVVKbrCoKA8fFxDA4OYteuXdi+fTueeeYZCIIgbSBirxS/3w+XywW3242JiQkAgM1mkzw/VC2TG1j7zHOdNC2Kn9raWtTW1kIQBAQCAQwNDWF+fh5zc3MIh8OwWCwoLS2VxltoNBrmPkuiMCGxQ+QEnucxODiIgYEBbNu2Dbt27ZJ1mjOrYSzRi7WysiKV0m90LKPRCKPRiPr6egiCAI/HA5fLhcXFRQwNDUGj0UgjBOx2O4qLi9O2jWVY2hBZ9OzwPM/UZ8RxHAwGA8xmM7RaLZqamuD3++F2u7G0tISpqSlEIhFYrVbJ81NaWkrih1AMEjtE1gkGg3A4HHA6nTCbzdizZ4/sNzgWw1jLy8twOBwwmUwXldInYy/HcbBYLLBYLNi+fXvCYMiZmRn09/ejuLhYEj8lJSUplevHH4fYGNY+IxbziIC/iLB44V5XVwee5y8SP2LItrS0FGVlZZL4IQg5oDOJyBqCIGBxcRFtbW0wm81obGyEy+VS5CatpGcnVRElDi4dGBjAzp07sWPHjjV/51TtjR8M2djYiGg0KlXLjI2Nobu7GyaTSXqPzWZLevNgyXvBki0Am8KCRZuAC3atlWCvUqlgMplgMplQX18Pnufh8/kk8TM+Po5YLAar1Sp1gbbb7SR+iLShM4fICjzPo6+vD8PDw9izZw8aGhowOzurWCM9Vjw7kUgEXV1dWFpa2jRslemmHj8eAADC4bCU7DwwMIBQKASLxSKJH6r0Sg/WxBfArthJNrymUqlgNpthNpvR0NAAnufh9XrhdrvhcrkwOjoKQRBgs9kkz4/dbpc19E0UNiR2CMXx+Xw4d+4cQqEQLr/8cthsNgDKdiNWKkE5FY+RGLYyGo04derUhiElJTaqoqIiqU8KcGH0xupKL5vNJokfsdKLxU2TNVj7jFgVO4IgpCVIVCqVFLLdtm2bJH5cLhfOnz+P4eFhABcGn4rip6SkhMQPsS4kdgjFEAQBMzMzaG9vR3l5OY4cOQKtViv9v0qlUkzs5DJBOdmw1Vo/pySrK73EsIEY9uI4DiUlJRAEATzPM7uB5hry7CSPXInT8eJHXFfMVxOT9cXzN178kOeSECGxQyhCNBpFV1cXpqensW/fPtTU1Fx001NKkIhr5yKMFYlE0N3dDbfbjaNHj8Jutye9bjZnY3Ecd1HOhMfjgdvtxuzsLAKBAF5++WWpxL2kpKRgK73SgTVhwarYWS9nJ1NUKhVsNpvkJRaT9ZeWljA/P4+BgQGo1WrYbDapwSGFbbc2JHYI2VleXsa5c+fAcRyam5thNBrXfJ+Snp1c5OwsLy+jvb0der0eLS0t0Ol0Ka2dS4+BSqWC1WqVNoTl5WWpweH09DT6+vqg1+sTKr3ivXRbCfLsJA/P81kRGPHJ+sAF8bO8vIylpSXMzs6iv79feo8ofiwWC4mfLQSJHUI2eJ7H+Pg4uru7UV9fj927d28YQ8/HnJ211hUEAZOTk+jv70djYyMaGxuZ3HhSxW63S56paDQqhbxGR0fR1dUlzUUSk52VrJRh6fNkUVgo5UHJlFx9Vmq1Wjp/xbCsONpienoavb29UKvVUol7eXk5zGYzk58hIQ8kdghZCIfDUu+cQ4cOoby8fNObXCHk7IjhulTDVputyxoajQbl5eUoLy8HcOHvLXZ27u/vT6j0stvtsj41s/i5sCh2WLMJyJ5nZyM4joNarZY6NwuCgKGhIfh8PhQVFWFychI9PT0oKiqC3W5PED8sfqZEepDYITLm/PnzaG1thcFgQEtLS9K5HUrm7CgZxhLXXVlZgcPhSDtstXpdVjb1ZG7wRUVF0lBI4EKllyh+pqenwfO81B23pKQEJpOpYDYOVv5O8bAsdlizS6w4NBgM2LVrFwRBQCwWS+jx09XVheLiYmmoaVlZWUGdw1sREjtE2vA8j4GBgYQZT6k8xeWrZ4fneUxMTKC/vx87duzAzp07ZbkJsriJJsvquUhipZfYI0WslBE9P3q9Pq83DtZsZ1XssBpei/c4cRyX4LkUBAGRSATLy8tS2LajowN6vT7B82M0Gpn8zIm1IbFDpIXf70drayv8fj+OHz++YbO89VA6Z0eJtQVBQDQaxdDQEI4cOYLS0lLZj8ECmQivjSq9FhYWMDg4iKKiogTxk4lXLNuwKCxYtAlg07MDXLBrvRwzjuNQVFR0kfgRu5MPDw+jo6MDBoNB8vyUl5fnvYAvdEjsECkhCALm5ubgcDhgt9vR0tKSdlWO0mEsudf2eDzo6OiAIAg4deqUrBt0voWxUiG+0kuc6SU+NU9NTaG3txcGgyFvKr1Y+TvFw6qoyAfPzmaI4qeiogIVFRUQBAHhcFgSP4ODg3A4HDAYDFKPn/LychQXFzP5N9mqkNghkiYWi6G7uxsTExNoampCbW1tRjcyUewo8VQqp5ASBAFTU1Po6+tDTU0NZmZmZPdEsCR2lCa+Umbnzp0JT81ipZfZbJaED4ufC2ubGHl2UiOTxGmO46DT6aTu5IIgIBQKSedwf38/2trapGpFUfzodDomP4utAokdIik8Hg/Onj0LQRDQ3NwMk8mU8ZrizYbnednbvMsVxopGo+ju7obT6cSRI0eg0+kwMzMjg4UXw9Kmnk1btFptQqVXKBSSytz7+voQCoWwsrICQRBQUlKS8/4oLP2dRFgVO4Xg2dkMjuNQXFwsJeyL4kc8h3t7e9Ha2gqz2ZyQ8EziJ7uQ2CE2RBx90NnZidraWuzdu1c2YaKk2JHDs+PxeOBwOKDT6aQqM5/Pl7MxFFsFnU6XsHG0t7dDrVbD5/NhamoKPM8nzPTKRZUMa5sUq2KnED07myGKn+rqalRXV0MQBASDQanaq7u7G8FgEGazWQp7lZWVoaioiMnPqlAgsUOsSyQSwdmzZ+F0OnHppZeioqJC1otRXEvJqql0EARBajy2fft27Nq1S7J1K4gSlm64YqWM2WzGtm3bIAiCNA1bDHupVKqEfB+lE0VZFBYs2gRsDc/OZnAcd9FcOnEo79LSEjo7OxEOhy8SP1qtlsm/ab5CYodYE5fLhXPnzkEQBFitVmlytpzEe3aUWDsdURKNRtHT04Pz58/j8OHDKCsrS/h/UezIvbmwJqJYsiUejuNgNpthNpvR0NAgVXq5XC5pJpJY6SX2+JE7v4rFz4ZVscNCU8G1yKVdYo8fg8EgtWrw+/2SgB8fH4cgCLBYLFKZe2lpKTQaDZN/43yBxA6RAM/zGBoakkYfaLVaLCwsKHIssbmX0s3/kkUMWxUVFa3bHDHeG1XIYidfiK/02rFjB2KxmJQoKnbGFUuES0pKYLPZZKn0Ym3TYVXssGoXSyKM4zgYjUYYjUZUVVXhzJkzOHr0qDTYdGpqCpFIBFarVfL6iOKHSB76tAiJQCCAtrY2eDweHDt2DCUlJZiZmVF0GrdSjQVT9eyIJdDbtm3Drl271r0Rit+XW5hke+r5RrC4OSVL/FgAAFKll8vlwvDwMPx+v1TpZbfbYbVaU84XY1GUkqhIDVbtisViAACz2Qyr1Sr1qfL7/XC5XFKH51gsliB+7HY7iZ9NoE+HgCAIWFhYQFtbG6xWK1paWlBUVARA2S7HQHYHdq6FGLZaXFzEZZddJlUEbbQuoIzYYQnWNvR0P5+1Kr3EsRa9vb0Ih8OwWq2S+ElmGCSLwoJFmwB27WJZ7HAcl2CbSqWSmnSKoVufzweXyyV1KBcEATabTcr5KSkpIfGzCvo0tjixWAy9vb0YGxvD3r17UVdXd9GFlo+enWQ8JV6vFw6HA1qtFqdOnUpqppeSSdWsCYxCRKfTJVTJiImiLpfrokovu92eNyMBWEwEFnPbWLMLYFfsJFOZqlKppLy1bdu2ged5KWnf6XRiZGREEj+i56ekpET2itd8g8TOFsbr9eLcuXOIRCI4efIkzGbzRe/JV7GzWRhrenoaPT09m4atVrMVPDss2aIkayWKJlPpxaK3gkWbxOuaNbsAtsVOqnapVCpYLBZYLBZJ/Ij5PouLixgaGgLHcReJHxZ/fyUhsbMFETsCd3R0oKqqCk1NTeu6PLMRxsqmZycWi6GnpwcLCwtJha3WWhdQRuyw5NnZirasVem1srICt9uNubk5DAwMQKfTQafTIRqNIhQKMTPTi0WxI/7dWNxUWRU7sVgsYw+MSqWCzWaDzWaT1hTFj1ixKIr40tJSVFRUwGq1Mvl5yAmJnS1GJBJBZ2cnZmdnceDAAVRVVW14k8xnzw6QuAmIYSuNRpN02Go1SoaxCLaI3zTiK70mJiYQDAbx8ssvw2g0Jnh+cpUnwaLYYdWzIwgC02JHbrvUarV0forHWF5extLSkiTixfeIoy1y3aVcCUjsbCHcbjfOnTsHrVaLlpYWGAyGTX8mG2JHqQRl4C+bwMzMDLq7u9HQ0IDdu3dnNBcHkL83EEueHdY2J1YQK72CwSBUKhX2798vhbzESi+LxSJtLOlUeqULi2KHVc+OeO2yZhegTDf51cTPpgMgifilpSWpmapWq4XdbkdpaanU70cuu+6//3787Gc/Q19fH/R6PVpaWvCVr3wFe/fu3fDnnnjiCXz+85/H2NgYdu/eja985St461vfmvRxSexsAXiex8jISEJpdbInrlqtzmvPTiQSweDgIObn53Ho0CFUVFRkvLYSwoTVjYq4GFFYaLVaaRI2AGkkgFjpFYlEYLFYpB4/yVR6ZWITa5u3OCqCtXObZbGjhGdnM+LbNQiCIHl+xF5V3/jGN/Dqq6/i6NGjsNvtuPvuu9HU1JT28V544QXceuutOH78OKLRKO666y685S1vQU9PD4xG45o/88orr+Dd73437r//frz97W/Ho48+iuuvvx6tra04ePBgUsclsVPgBINBOBwOLC0t4ciRIygtLU3p5pPPOTsA8Kc//UnyZOn1elnWVsIbxZJnh0VY2jDX+zutnocU3xV3YmJCGmQq/pOz0otVzw5rNgFsi51seHY2QhzPEi9+vv3tb+MPf/gDnn76aTz66KN44oknUFdXh6uuugpXXXUVrrzyStTX1yd9jKeffjrh9enTp1FRUYFz587hDW94w5o/89BDD+Gv/uqv8OlPfxoA8IUvfAHPPPMMvvWtb+E73/lOUsclsVOgCIKA8+fPS9N2W1pa0kqmFDd2pW5cSomp+fl5AIDdbse+fftkvbFtBc8OsTGb/b3iu+LW1dVJlV4ulwtOpxPDw8NSnoTo+clEjLM4cJPVvBhWc4mA3Hh2NoLjOFgsFlx//fU4cOAAHn30USwsLOBPf/oTnnvuOXzrW9/C+973PszMzKTtNV9eXgYAKay2Fq+++iruuOOOhO9dc801eOqpp5I+DomdAoTnefT19WF4eBh79uxBQ0ND2heQkpPJxfXlFA5i36C5uTkAwM6dO2W/eSgldljx7LC4CbBEOn+n+EovsTxYDBXMzs6iv78fOp0uQfyIjT2TtYm1vxuLNgF/EWGs2sZqPxyv14vi4mJYrVZcc801uOaaa6Tvm0ymtNbkeR633347Tp06tWE4am5u7qL5jJWVldJ9PhlI7BQYPp8P586dQygUwuWXXy6VH6ZLNsSOXJ4dn88Hh8MBlUqFU6dO4YUXXlAsRFbonh1WhBfAli0imf694vv3ABc6eS8vL8PlcmF8fBzd3d1SpZfdbofNZtuw0otFYcGyZ4dFuwD2PDvxrKysoLi4+KLzLF2hAwC33norurq68NJLL2Vq3qaQ2CkQBEHAzMwM2tvbUV5ejiNHjsgy8FC88GKxmCzrrUaunJ3Z2Vl0dXWhvr4ee/bsgUqlUrTSizw7WxclhEV8ngQAhMNhaaDp4OAggsGgNNNrrUovVsUOazYBbIsd1j07cuU9AsBtt92GX/3qVzhz5gzq6uo2fG9VVZWUmiAyPz+PqqqqpI9HYqcAiEaj6OrqwvT0NPbt24eamhrZbjJKlVqLZOrZicVi6Ovrw9zcHC699NIEV6eSyc+F7tkh1icborSoqGjNSi+Xy4Wenh5Eo9GEmV4sCgsWK8QAtsWOUg+VcuDxeKDX6zM+zwRBwMc+9jE8+eSTeP7557Fjx45Nf6a5uRnPPvssbr/9dul7zzzzDJqbm5M+LomdPGd5eRl/+tOfoFar0dzcvG7pXrqIQ+mUFDvpbh7xYavm5uaL+gYp6dlRos8OS7DiZWKVbP+9Nqv0isViCAQC4DhO9kqvdGFRgAFsix2WPTs+ny+tRqyrufXWW/Hoo4/i5z//Ocxms5R3Y7VaJc/RTTfdhNraWtx///0AgI9//OO44oor8LWvfQ1ve9vb8Nhjj+Hs2bP47ne/m/RxSezkKTzPS7F9nudx8uRJ2YWOiNJiJ5215+bm0NXVhdraWuzdu3fNm1euJ6qnCgmM9WFp08z132mtSq/W1lZotVqcP38ew8PD0Gg0F830yjbk2UkdlnN2PB5PUo1oN+Pb3/42AODKK69M+P4PfvADvPe97wUATExMJHwOLS0tePTRR/G5z30Od911F3bv3o2nnnoq6R47AImdvCQcDsPhcMDpdOLQoUPo7OxU9HhKip1UvSRipdnMzAwuueSSizL0M1k7WZTqs8MKLNnCIqzlx3AcB7VajbKyMtTU1KxZ6VVcXJwgflKp9EoX8uykDuueHTnETjL3zueff/6i773zne/EO9/5zrSPS2InzxB75xgMBrS0tKC4uDhvuxynurbf74fD4QCApMZdZDNBWeu+RPo6UpK6+GQpQRnIvfeCSI14AbZWpZeY7Cx6g00mk/SezSq9MrGJRVHBsthh2bPj9XoVix5kAxI7eQLP8xgYGMDg4CB27tyJHTt2SBdFvg7rFNeOxWKbvi+ZsNVqspGgHC9yRFZ/Lxnxw+oNjgVYE16seXaAjW3SaDQoKytDWVkZgAueYTHfJ77SS+zvI9cEbJY9O6x6T1i2ze/3y+LZyRUkdvIAv9+P1tZW+P1+HD9+XHpiE0lWMKRLLj078WGrgwcPplRqqLRnZy2hsxbJiB+WNgWWbGEV1j6jVARYUVERKisrpRBwIBCQxM/MzIxU6RU/0yud35c8O6nDsmfH5/ORZ4dQBkEQMDc3B4fDAbvdjpaWljXLEpUOYym5/kbel1TDVqmsnQkcx6Fe9+a0f34t8eP3+xGLxTA1NQW73S5LiWcmsOZNYYl88+xshl6vh16vR01NjVTp5XK5pLAXANhsNkn8GAyGpI7Fqqhg1S7ggthh1bPj8/kk72A+QmKHUWKxGLq7uzExMYGmpibU1taue4HmexhrrY11fn4enZ2dqKmpQVNTU1o3J6U8O6/f+0FZ19O6L0HzTgA7gRf7/38YHBzMaHQAsfWQS4DFV3rV19eD53lpptfi4iKGhoYSKr3sdvu65cgsikKAbbHDchgrEAiQZ4eQF4/Hg7Nnz0IQBDQ3N2/ajlutVhdMGIvnefT392N6ejrlsNVq5PbsJBu2yoTVQuq57m+ju7tb6p5rt9sv6p4rNyxuUCzZxOImruSgXovFAovFgu3btyMWi2FlZQUulwszMzMJlV7iWAtRmLMqKli1C2DbNr/fn9FoiFxDYochBEHAxMQEOjs7pUTcZDa1fPfsiGv7/X60t7dLIi/Tpwg5K5yyIXTW4qoDH014/XvHNxGJRKScCrvdDpPJxNzmW8hsJbGzGnFS++pKL5fLhdHRUfh8PqnSKxQKMfc5AWwLCpZzdvx+P8xmc67NSBsSO4wQiUTQ3t6OhYUFXHrppaioqEj6RpHPCcqi90UMW1VXV6OpqUkWz4VcYaxcCZ21eMtl/yR9/crQf2JsbEwqNRbFjxxdTilnZ2NY28RzJcDWq/RyuVxwuVyIRqMIBoMJM71yvZnzPK9IqX2m8DwPQRCYDmOR2CEywuVy4dy5c9DpdGhpaUm522k+99kBLiS+dXZ24sCBA6iurpZt3UzDWCyJnLVo2XVLwusXev8P+vv7odfrpVyfkpKSlG/srG3krMGiEGSlzDu+0kuj0SASicBms8HtdmN6ehqxWAw2m006N9Ot9MoEVj074r2KRbEjCAICgQCFsYj04HkeQ0ND6O/vR2NjIxobG9NOxFXas6PE+oFAACMjI4hEIjh16pTsyW+ZeHZYFzprccW+Dye8frbzYQQCAVgsFsnzY7FYmLzRbwSL4oIFYREPq6G1oqIi1NTUSJVePp9PKnMfGxuTZnmJ/5Kt9MoE1sUOi7YB5Nkh0iQQCKCtrQ0ejwfHjh1DSUlJ2hd5Pnp2FhYW0NnZKbm1lcjyT9ezk49CZy3edMmtCa+fbn0QPM8nVNKst7mwKDBYgVVhwZpNqyuLOI6DyWSCyWSSKr08Hg/cbrdU6aXVahPEjxwh2bXsYlFQxGIxafAyiwSDQVgsllybkTYkdrKMIAhYWFhAW1sbrFYrWlpaMi4rVqlUiEQiMlm49vpyiR2xE/Tk5CQOHDgArVaLvr4+WdZeTaoJyoUictbjr47cLn390sD3MDw8LG0uYr4PlbhvDotCkEWxs1lTQZVKBavVCqvVKlV6iTO9pqen0dvbC4PBkCB+1uozliosix0W7QIufGaBQABWqzXXpqQNiZ0sEovF0Nvbi7GxMezZswf19fWynNxqtRrBYFAGC9dGpVIhGo1mvE4gEIDD4QDP81JJvdPpVGzzSEWkFbrQWc3r9nwg4fVz3d9GT08PTCYTDAYDYrEY0w3Ock2+CYtckGoekVqtlkQ3cKFoQ5zpNTo6iq6uLphMJikfzWazpXV+sip2WO+xw/M8eXaIzfF6vTh37hwikQhOnjwpa+wzH0rPxbBVZWUl9u3bJ13UuWhYuJqtJnTWYnWJ+y9fewBnzpyRkkntdntOkklFWBIX5NlJjkwFmFarRXl5OcrLywEAoVBIyvfp7+9HKBSCxWKRxE+y+Wisih2WPTsejwfAhU7a+QqJHYURBAFTU1Po6OhAVVUVmpqaZC97ZLn0nOd5DA4OYmJiAgcOHEBNTY1sa29GMjk7JHTW5roTn5a+fnX4BxgfHwfHcdLGIo60yAasiQtWhQVrNsktKnQ6HaqqqlBVVQVBEBAMBqWxFlNTU+B5PmGm13r9p1gVOyx7dlZWVqScq3yFxI6CRCIRdHR0YHp6Gvv370ddXZ0iNyRWE5QDgQDa29sRjUbX7QSt1Pwqce31NkoSOcnTvPN9Ca/P9H0XAwMDKC4uTihxlyOfIl9gTViwKHaUtInjOOj1etTW1qK2tlaq9BLFz+joKFQqVYJnUpw3x6rYYdmz4/V6UVxczKx9yUBiRyHcbjdaW1uhVqshCALKysoUu/BZDGMtLi6io6PjorDVWmsrmbOz1tokdDLjDU0fSnj9h67/WHOkRT7fGDeCRU8Ti2Inm6IivtKroaFBqvRyuVxYWFjA4OAgioqKUFJSgnA4rKgnPF1Y9+wUFxczd46lAokdmeF5HiMjI+jr60NDQwN27dqFZ599VtGLS+nZWKl4juLDVvv370dtbe2G71c6jLX6cyGhIz9vPPiPCa9/1/aQ1DxO9PwYjca8vlGuhsXfhTWbctnoML7Sa8eOHVKll9jVuaurS5FKr0xg2bPj8XiyFrZWChI7MhIMBuFwOLC0tITDhw+jtLQUHMcxG2aSe/1gMIj29nZEIpGkBpiKayv1ZBrv2SGRkz2uOfxx6euXB7+P4eFhaDSahHwfnU6XQwszgzUviniOs2QTwFaFWHyl1+zsLA4ePIhoNAq3242RkRFp7pMofNKt9MoElj07Xq9XCgPmKyR2ZEAQBJw/fx6tra0wm81oaWlJuJlnYyp5rhOUxbBVRUUF9u3bl3QStnjxKHGhi/F5Ejq549Tu9ye8fr7nO+jt7YXRaEzI92H1Jp8PsCp2WBlhsRqe56WQ1upKL5fLhb6+PoTDYVitVun8zEbncZY9O6LYyWdI7GQIz/Po6+vD8PAwdu/ejW3btl10wrIUZkqHjcSOOPJifHw8qbDVWmsDyuRBcByHo/V/L/u6RPpcuf8j0tfnJn+MgYEBhEIhaWMRR1qs3iRZ2jTJs5McLHl24lkrl2h1pVcgEJDK3MVKr/iZXutVemVqF6ui3+v1wmAw5NqMjCCxkwE+nw+tra0IBoO4/PLL1+1BwEqYSe71xbBVOBxOu3eQeNOR236t+xI02WVdkpCZpqYmABeq9sQp2ZOTkwCQMNJCyXM7HVhMUAbYEzssenbEyeIbiTCO42AwGGAwGKRKL6/XK4kfsdIrPt9HjhAPy54dn89HYmcrIggCZmZm0N7ejvLychw+fHjD5LZCDGOdP38eHR0dKCsrw9GjR9PuHaSE2KGwFfvsevzDaP9/Fe2rS4hXV9FwHIfZ2Vmo1WomEkkBtoSFeO2wZBPApmcnnWGbHMfBbDbDbDZLlV4rKytwu92Yn5/HwMAAioqKEsKy6eSk8Twvew82uSCxswURM/mnp6exb98+1NTUbHqTyVYYSyn3erzYEQQBQ0NDGBsbw759+1BXV5fR2vE5O3JAQod9dj3+4XX/j+M4WCwWWCwWaV7S2bNnoVKppJEBZrM5YWRAtjdU8uwkB4v9bOSYLC7277HZbFKllzjWYnJyEj09PTAYDAnnaDICPRaLMTubzufzKTKsOZuQ2EmB5eVlnDt3DhzHobm5Oek/fjbEDqBcLoEodoLBIDo6OhAKhWQdeSFHGI5EDvtsJHLWQ61WQ6vVorKyEtXV1QmJpD09PYhGowkl7krkUqyGcnaSg7XPCfjLZyWnCFOr1SgtLUVpaSmAC81kxZDX8PCwVOklnqNWq3XN3ByWc3Z8Pl9ed08GSOwkBc/zGB8fR3d3N+rr67F79+6UTsps5NQAysV8xUGgr7zyCsrKynDkyBFZ3a2ZNhYkocM+6QidtVidSOr3+6V8HzGXIr7Evbi4WJbjroalTZzFcBHApmcnFouB4zhF/35arRYVFRWoqKgAcKHSS+zs3Nvbm1DpJc6cE1MRWPu8RPx+P6qqqnJtRkaQ2NmEcDgMh8MBp9OJQ4cOoby8POULJRs5O8CFC1nufAZBEDAxMQFBELBnzx7U1tYq0g8nXTFIQod95BI6q+E4DkajEUajEfX19VIuhcvlwszMDPr7+6HX66X+KjabTRaRzmIYiyXxJcKiXbkQYDqdDtXV1aiurpYqvUTxMzk5CUEQYLPZ4PP5YLFYmPzc/H4/hbEKGbF3jsFgQEtLS9pPidkQO0rMmAqFQmhvb0cgEACApPKT0iFd20nosI9cQieZ8y4+l6KxsRGRSARLS0twuVwYHBxEMBiUpmTHP1ErZU+2YHFzFASBSc9Orm2Kr/Sqq6tLqPRaWlrC2NgYpqamEqoRWehv4/f7KYxViPA8j4GBAQwODmLnzp3YsWNHRheI0mIHkD9U5nQ60d7ejtLSUhw8eBBnzpxR7EaRqu0kcthHKW9OKmi1WpSXl0uN48TeKS6XS+qdIm4oJSUlMBgMSYkG8uxsDqt5RLkWO6uJr/Sam5vD9u3bUVRUBJfLhbm5OQwMDECn0yWUueei+3ggECCxU2j4/X60trbC7/fj+PHjKCkpyXhNlUqFSCQig3UbH0MOQSUIAoaHhzE6OoqmpibU1dVJ6yqVd5RKzg4JHfaRW+jIJS70ej30ej1qamqkJ2qXy4XFxUUMDQ1Bq9Um5PusVxnDmrhgzR5AmURgOWBN7MQTi8Wg0Wgk7yRwofp3eXkZbrcbExMT6OnpgdFoTBA/2ShXF5Os8xkSO/8PQRAwNzcHh8MBu92OlpYW2fJfsuHZkaOLcigUQkdHBwKBAE6cOAGLxQJAucZ/Isl6dkjosA8LHp1kiH+i3rZtW8KgSHFTMZlMCeXD8UUJLIkLFsUOq71/WBc7qwtfNBrNhpVegUAgYabXepVemSAIAoLBIImdQiAWi6G7uxsTExNoampCbW2t7KWJrIexnE4nOjo6UFJSgsOHDyc8LSiVEySy2dokcvKDfBE6axE/KBK4UJgQPyspEonAarXCbrcjGo0yFcpiUeyQZyd1kik9X13pFQwGJfEjtmKIn+mVSV5aPIFAQHr4zVe2vNjxeDw4d+4ceJ5PelJ3qmTLs5POMQRBwMjICEZGRrB3717U19eveeNUsnx+ozAWCR32yWeRsx5FRUWorKxEZWWlVOIuih+/34++vj4sLi5Knp9cJpGyKHbIs5M66dhWXFycUOklnqdi2EsQhISQl9FoTOtvQmInjxFLqjs6OmC323H48GHFGjop3Wcn3WOsF7aSa/1kWW9tEjrsU4hCZzXxJe51dXV47bXXUFVVBZ7nMTs7i/7+fhQXFyeUuGdzpAWLYke0iTW7WBU7YvVaJnvQ6vNUHL3idrvhdDoxPDwMjUZz0UyvzeB5HqFQiMJY+UgkEkF7ezsWFhZgs9kUiXPGk60wVirHcLlcaG9vXzNstd762RI7JHLyg0yFzqEffBft7/uQTNZkF6PRiLKyMuzYsQPRaFQqcY/Po4jvmKvkBsui2GFVVLDapVi8d8v5mcWPXtm2bRt4npeSnUWRLlZ6iefqWkn5Pp9Pmvqez2w5seNyuXDu3DnodDq0tLRgbGyM2RBTqsdIRowkG7ZajZJiJz5nh4ROfpBtjw5rm3m8PRqNBmVlZSgrKwPwlzwKl8uF6elpaaMQN5R0QwnrweJ0cRYFGMC2CAOgqBCLn9QOQBLpbrdbmhBgNBoTRLpWq8XKygoAwGq1ZnT8M2fO4IEHHsC5c+cwOzuLJ598Etdff/2GP/PjH/8YX/3qVzE4OAir1Yprr70WDzzwgJSwnQpbRuzwPI+hoSH09/ejsbERjY2NUKlUUKvVipeFs+LZCYfD6OjogM/nw+WXX57SyavkZPVMx0UQ2SXbQoe1c2Mze1bnUYhN4+JDCWLIS46+KSwKC5ZFBYt2iffWbP4dV4v0cDic0ITzgQcewMzMDPbv3w+O4zL+3Hw+Hw4dOoRbbrkFN9xww6bvf/nll3HTTTfhG9/4Bq677jpMT0/jIx/5CD74wQ/iZz/7WcrH3xJiJxAIoK2tDR6PB0ePHoXdbpdOKrVajWAwqOjxs5Gzs5lnRwxb2Wy2tMrqlRQk8Z9P/EY69K7/o8jxiPTYCvk5yZLsphRf4t7Q0CCVuMdPyBafpsV8n1Sf7lkUOyzaBLDpBQP+El7LpW1FRUUJlV4PPPAAfvOb3+BXv/oVAKC8vByve93r8KY3vQlvetObcOTIkZTO1WuvvRbXXntt0u9/9dVXsX37dvzTP/0TAGDHjh348Ic/jK985Ssp/FZ/oaDFjiAIWFhYQFtbG6xWK1paWi6KSbJcKZUK6wkqQRAwOjqK4eFh7NmzBw0NDWldUNkKY8WzenMl8ZM7SOj8hUxEf3yJ+86dO6W+KS6XC/39/QiFQlKJuzjSYrPrlUVhwaoHheWcHdY+r507d+JjH/sY9u/fj/e///148cUX8Yc//AHPPvssvvKVr8BkMmF8fFwxu5ubm3HXXXfhN7/5Da699losLCzgv//7v/HWt741rfUKVuzEYjH09vZibGwMe/bsQX19/Zp/lGyKHSVvSmv9HpmErVajdBgrGSFFXp/cQEInETmv4/i+KeKQSFH8TExMAMBFIy2UtEcuWPagsCYqAHZFGHChPYvBYMC+ffuwf/9+3HbbbYjFYhgZGVH0szx16hR+/OMf48Ybb0QwGEQ0GsV1112Hhx9+OK31ClLseL1enDt3DpFIBCdPntywZC5bYgdQ9oReLRjcbjfa29slj1ampbC56rOzHuT1yQ6sCB3WNk6lBuKKQyJra2ul0mGXy4X5+XlpTlJ8vo9Wq2VS7AiCwKyoyMZ4hVRh0bMj4vV6UVxcnHCOqdVq7N69W9Hj9vT04OMf/zjuvvtuXHPNNZidncWnP/1pfOQjH8H3v//9lNdj76+eAYIgYGpqCh0dHaiqqkJTU9OmJ7ZarUY0GlXUrvhxC0qKnXA4LIWthoaGsGfPHmzbtk2WG2Eu+uykAokfeWFF5LBIthKm40uHt2/fnlA9Mzo6iq6uLpjNZmi1WsRiMaa8FuTZSQ2WPTter3dNj6LS3H///Th16hQ+/elPAwAuvfRSGI1GvP71r8cXv/hFVFdXp7RewYidSCSCzs5OzM7O4sCBA6iqqkrqYsumZycWiynWbEwUba2trfB6vbj88stl7YugdM6O3H8DCnmlDwmdzcnFRr66eiYUCkkT3H0+H86cOSOVuNvtdtlL3FOBZc8Oi3ax7tnJhdjx+/0XOSvEvTSdB46CEDtutxutra3QaDRoaWlJ6Q+TDbEjlu0peZxQKISFhQWUlZXJOsRUhHXPzkaQ1yd5WBQ6LJaes+C10Ol0qK6uRjQahdvtRmNjo5TvMzo6CrVaLeX72O32jEvcU4E8O6nBsmfH5/PJIna8Xi+Ghoak16Ojo9Lg7YaGBtx5552Ynp7GI488AgC47rrr8MEPfhDf/va3pTDW7bffjssvvxw1NTUpHz+vxQ7P8xgZGUFfXx8aGhqwa9eulE8YjUajuNgBlBNVgiBgbGwMk5OTMBgMOHz4sCI3GTmmqq9HtvvskNdnbVgUOizCovhSqVQwmUwwmUyor69P6JY7PT2N3t5eGAyGhBJ3JXNXyLOTGix7dnw+nyyz386ePYurrrpKen3HHXcAAG6++WacPn0as7OzUlI+ALz3ve+Fx+PBt771LXzyk5+EzWbDG9/4xq1Xeh4MBuFwOLC0tITDhw+jtLQ0rU0+G54dQBnvRTgcRmdnJzweD3bs2IHl5WXFnqby2bOzEeT1IZGTDix5LdbyNMV3y21sbJRK3N1uNwYHBxEMBmGxWBJK3OXcbFkVFazaFYvFmPbsyDEg+8orr9zwQeH06dMXfe9jH/sYPvaxj2V8bCAPxY4gCDh//jxaW1thMpnQ0tKSkXtWrVZLQ9iUvAjkFlVLS0twOBwwm81oaWnB+fPn4XK5ZFt/Nev1wmF97VTZauKHhE7qsOjZ2Ux8xZe4AxcarbpcLrjdbkxNTYHn+YSQl16vz0jQsRLqWw2rYodVu4ALuTOZjopggbwSOzzPo6+vD8PDw9i9eze2bduW8QkSnzycD2JHEASMj49jcHAQu3btwvbt28FxnKJhJgCKjtXIpWdnMwo55JVPQoe1jZMle9IRFnq9HrW1tReVuC8uLmJwcBBFRUUJJe5rDYjcCFY3b5btYtmzk06ODGvkjdjx+XxobW1FMBiUtdIoG5VSgDxN+cSKs5WVFRw7dkwa6Caur6RgYK3PTi4oJK9PPgkd1mDNa5FpMvDqEvdYLHbRgEiTySSJH6vVuunGTAnKqcFyGCsQCMgSxso1zIsdQRAwMzOD9vZ2lJeX4/Dhw7KKErFSSuleO5l6dlaHrVY/aSld7VWoOTuZkI9eHxI5mcOaMJdbfKnVapSWlkqTpcPhsBTy6u3tRSQSSRhpYTKZLjo+JSinRiwWS9l7li38fj+JHaWJRqPo6urC9PQ09u3bh5qaGsUqjbLRayedDX29sJVc6ycLiZ2NyQevDwkd+WDJa6G0p6moqAhVVVWoqqqCIAjw+/2S+BkbG5OSoUXxU1xcTJ6dFGE5jOX3+zecQpAvMC12ent74XK50NzcDKPRqNhxWB0GGolE0NXVheXl5YvCVqvJ5zAWx3HMPS1nCmviJ5+FDmvnBov2ZEtYcBwHo9EIo9EolbivrKzA5XJhdnYW/f390Ov1UKlU0Ol0iEajTI1nYFnssGgXQGGsrLC4uIidO3cqKnSA7E0lT+UYy8vLcDgcMBqNa4atVqP076C0ZycWi6G/v1+R9VkglyGvfBY6rMKS1yKXISOVSgWbzSblUIoNDkdGRrC8vIwXX3wRZrNZ8vpYLJacbuqsigpW++yIw2ktFkuuTckYpsWORqPJSniDJc+OIAiYmJjAwMAAdu7ciR07diR1YxXFiFJPeUrmBMViMQQCASwuLiqyPmtky+tDIkcZtrJnZzM0Gg3Ky8vhdDpRVFSEmpoaKeTV2dkJnucTRloYDIas2Z6NFiPpwnqCMoWxFCbfuxuvPsZmwk0MWy0tLW0atlprfUC52K9Snh2Xy4Xu7m4AwMmTJ4Fuh+zHYB0lvD4kdJRBFDqsiAuALbEjIubsFBcXo6amBjU1NRAEAV6vF263G06nE8PDw9BqtQn5Pkom6Yr3LxbFDss5O2IDynyHebGjdJWUeJxsiJ1QKLTu/8eHrU6dOpXyRa/0ZHW5xU584nV9fT1mZmaYiu3nCjm8PoUodFjbzFmyh0Wxs1ZojeM4mM1mmM1mNDQ0IBaLYXl5GS6XC5OTk+jp6YHRaEwYaSHnvYx1scOiXbFYDKFQiMSO0hSSZ2e9MJAgCJicnER/fz8aGxvR2NiY1o1LvFCU6hckp9iJRqPo7OzE8vIyjh8/DpVKhenpaVnWLjRSFT+FKHRYgrUQFsCm2EmmGkutVkvCBrhQ4i4OMu3v70coFEoocTebzRl3dQbYFDushrE8Hg8EQaAOykpTSGJnrTBWJBJBd3c33G43jh49Kl306aBSqRQduyCX2PF4PHA4HCguLpYSr71eb96XnmeL9UJeJHKyC0vigsWeNunYVFRUhMrKSlRWVkqJsWK+jzggcvVIi1QQ7/Es/e1EWE1Q9ng8ACBbE99cwrzYCQaDih8nFwnKKysrcDgc0Ov1Gc/3ElGyYkqOPj4zMzPo7u7G9u3bsWvXLummUwh9dnLBVhE4LHlTKGcnOeTo6mwwGGAwGFBXVwee56WRFvPz8xgYGIBOp0sYabGZR1sMFbH2WQHs5ux4PB6o1WpZpp7nGubFTiF5dmKxmGxhq42OoQSZCBJxptnMzAwOHTokDSMUEfvssLSpEcRasHiOsip25PRUqFQqWK1WWK1W7NixA9FoFEtLS3C5XBgdHUVXV1dCibvVar3o+KzmxbBcJebxeFBcXMzc+ZUOTIudbIgQ8TgbJQ/LgTiSor29HW63G0eOHJHasct5DNYmkweDQbS1tUEQBLS0tMBgMFz0HvEiZ3EjIYi1YOnmz6LYUdomjUaDsrIylJWVAQBCoRBcLpdU3RmNRlFSUiKFvYxGI7OCQryvsurZKQSvDsC42MlWNVY2RFUoFILX60VRUZFsYavVKNkLRwxjpXITczqdcDgcqKysxL59+9a9mOMryQiCZVgU5CyOZsi2sNDpdKiurkZ1dTUEQYDP55PyfUZGRqDRaGA0GiEIAkKhkCL333QR79ksCjESO1miEMROfNhKrVbj2LFjit2YlJyPFe992cx+QRAwMjKCkZER7Nu3D3V1dUmtTWJn65HspsjaZs6SPax6dnK1eXMcB5PJBJPJhIaGBvA8j+XlZUxPTyMWi+Hll1+G0WiUvD42my2nbS9YLokXxQ5r51c6MC92shHGUuo40WgU3d3dcDqdaGpqwtDQkKInjdIjHYDNN6dIJIKOjg54vV6cOHEiqf4M4mdCYmfr8eKLL0p5FulU2GQbSlBODpa8TeKg0mg0Cr/fj8OHD8PtdsPtdmNwcFBqmhdf4p5N4SFWYrHyecXj8/mYvyaThXmxk6+eHY/Hg7a2NhQXF+PUqVOIRCLMjKRIh2S8LysrK2hra4PJZEJLS0vS/X7Ei5zFEAGhLIcPH06osCkuLkZpaSkTT9xrweI5yqLYYbEcXnxQ02q1qKiokAolxBJ3sbkhgISRFkp7NlitxAIAr9e7Zp5lPsLWnWQV+ViNJQgCpqam0NfXl1BiHYvFFJ1dBWTPs7MWU1NT6O3tTavCjOM4Kj/folgsFlgsFmzfvl2qsHE6ndITt9VqRTgcht/vh91uZ2ZTZ8UOgE2xw5JnR2Q9r7Rer0dtbS1qa2shCIJU4r6wsIDBwUHodDop5FVSUiL7SAtWe+wAFzw7JHayQDarseQ4TjQaRU9PD86fP4/Dhw9LlQLiMcTyaiVzdpT6vDiOW7MiKxaLobe3F/Pz8xf9zqmuT2Jna7O6wkZ84h4aGsLw8DDGxsYSQl65SDIlz05ysOrZ2cyDwnFcggCPxWJSifv4+Di6u7thNpsl8WO1WjP2yrDs2SGxkyXEqedKZ/bLIRLEzsA6nQ4tLS0oLi6+6BiAsipeae/I6movv98Ph8MBjuPQ0tKSUWyXPDvEasQn7snJSezatQsajQYul0vyIppMpoQ5StnYXClnJznyybOzEWq1GqWlpVKbkHA4LIW8ent7EYlEEkZamEymlH9v1j07RqMx12bIAvNiB7jgMVFyGm4mYkcQBExPT6O3t/eizsDxKD27SjyGkp6weEGyuLiIjo4OVFdXo6mpKeOLVaVSMfnUTLABx3Gw2Wyw2WxobGxEJBKRNp2enh6pr4q46RgMBsU2W9Y2cRbFDquenUxtKioqQlVVFaqqqiAIAvx+v3Qejo2NScnQ4nm4+qF3LVidiwVceKCVux9crmBa7MR7Q5Q+Tjr5NBuFrVaj9OwqQNnSc+AvYmpwcBBjY2M4cOAAampqZFubPDvEeqy+LrVabcIcJbGvitPpxPDwMLRaLex2O0pLS5MaJZAsLApyFsUOq54dOW3iOA5GoxFGoxH19fXgeR4rKytwuVyYmZlBf38/9Hp9Qr7PWgn3rDY7BC54dhoaGnJthiwwLXY4jstKRVa8qEq2+kMMW4lNApNR8ErnICktGDiOQ19fH6LRKE6ePAmz2Szr2iR2iHRY3VclPs9idHRUyrMQxU+mpcWsbeKsiR0xN5G1DVzp3BiVSpXgfYxGo9IU9+HhYQQCAVgsFkn8WCwW6Z7NqmcnEAhQGCtbZGtuFXDBU5OM2BFzBrZt24Zdu3YlfVFnQ+yEw2FF1l5aWkIoFJKmlctdEkyeHUIuVudZhEIhOJ1OuFwuTE9PQxAEacMpLS1N6kFFhFXPDkvCQvyMWLIJyL4HRaPRoLy8HOXl5QAujM4RQ17T09PgeR4lJSWSbayJVuBCGEvOh9pcwrzYyUb5uRhi2uw4sVgMPT09WFhYwGWXXSadxMmitNhRIowV3wG6qKgI27dvV6T3CeXsEEqh0+lQU1ODmpoaqbTY6XRibm4OAwMD0Ov1CdOzk6nYYQnWNknxHsSSTcAFu3LZt6m4uDjhPPR6vZLwCQaDeOWVVxLyfZTMU00WEjtZJFuNBTcTVV6vFw6HA1qtFqdOnUrpaVAk29VSmSLmJDmdThw9ehT9/f2KCRLy7BDrIec5F19aLE7PFkMNAwMDCIVCCQ3lVlfXsCYsAPZsIs/O5nAcB7PZDLPZLDWcLS8vh8vlwsTEBHp6emAymRJGWuQi1BUIBGAymbJ+XCVgXuyw0GtnenoaPT09aGhowO7du9O+YPLJs+Pz+dDW1gatVovm5mYUFxcrmgBNOTtELlgdalhdXaNWqxN6+7DofWRN7LDs2WFF7MQj5uyI5xhwocRdFOF9fX0Ih8Ow2WyS+DGbzYp/voIgIBgMkmcnW+RyZESmYatkjiEncnlH5ubm0NXVhbq6OuzZs0e6QSjdoZnEDpFrDAYDDAYD6urqpAGS4hiBnp4eGAwG8DwPt9sNq9XKxObJmthhsRcRwK7YWaswpqioKKHaMH6kxfj4ODiOk8KuSs6UCwQCsFqtiqydbfJC7OTCsyOGrTQaTdphq82OITeZhrF4nsfg4CAmJydx8OBBVFVVXbS+kmKHxadmYusi9kwpKSnBzp07EQ6HMT09jbGxMXR3dyMWi0khr9LS0pxNh2ZN7Igl3izZBLAtdjYKUXEcd5EIF0daiHlnxcXFkviRs9VCIBAgz062yIVnZ2ZmBt3d3RmHrVajtPcikzBTKBSCw+FAJBJBc3PzmuWG5NkhcgULG2dRURFKS0sxPT2NU6dOSb19zp8/j+HhYRQVFSWEvLKVDMua2GGtOkyEVbGTaum5SqWC1WqF1WqV8s7iWy10dXUllLin64GMRqMIh8Pk2ckW2fTshMNhdHV1YX5+HocOHZKm4sp5DBbDWC6XC+3t7bDb7Th69Oi6N2klBQnl7BDrwZLHTxQWG/X2GRkZQXd3NywWiyR8LBaLIoJE6Xl76cBiQ0GAXbGT6biI1TPlQqGQFPKK90CK4sdoNCb191lZWQEAEjvZQqPRwO/3K34cQRAwMjICg8GQ8Zyn9chGgnIq6wuCgPHxcQwODmLv3r2or6/f8CKgMBax1VnvHI3v7bN79+6EniqTk5MAkOD1kSMsHm8PS+KCPDupIXdTQZ1Oh+rqalRXVyd0FxeFuEajScj3WW+grsfjAUBiJ2tkw7MzMzMDl8sFq9WKyy+/XNFBnax4dqLRKDo7O7G8vIzjx4/DZrMltb5S9lMYi8gXkhEWq3uqiGMEZmdnpTECpaWlGZcVsyh2yLOTGkoOAl3tgYxPuheb4xqNRkn82Gw2ybO/srICjUazrhhKljNnzuCBBx7AuXPnMDs7iyeffBLXX3/9hj8TCoXwr//6r/jRj36Eubk5VFdX4+6778Ytt9ySth3Mix0lvSGxWAx9fX2Ym5uTpY38ZqjVakQiEUXXT+azEkddiN2Qk21eRTk7xFYnHe8jx3EJORaRSEQqK+7v75fyIkTxk2yYId4elsQFq6KCZbuy1UNnddJ9/Lko9pl6+umnoVKp0NDQgOLi4ozPLZ/Ph0OHDuGWW27BDTfckNTPvOtd78L8/Dy+//3vY9euXZidnc14f2Be7CiVoOzz+eBwOKBSqdDS0oLx8fGsjKUIBoOKrZ+MYBCTrzea0L7R+koli1PODpEPyJEfo9VqUVFRgYqKCqmsWBxnMTo6elFvn40eRlgUOxTGSg0lPTubEX8uAheqr4aHh/HLX/4S//mf/4lgMIi//du/xdVXX403v/nN2LlzZ8rn2rXXXotrr7026fc//fTTeOGFFzAyMiL1Hdq+fXtKx1wL9v7yq1AijDU7O4tXXnkFpaWlOHHiBPR6fdZmcGUjjLXW0yfP8+jp6UFPTw8OHTqE3bt3p3zSUs4OQcgrLMSy4vr6ehw6dAivf/3rceDAAeh0OkxMTOCll17Cn//8ZwwPD8Ptdl90/bEodiiMlRosDQLV6/X4wAc+gJ///Of45je/iYqKChw9ehSPP/449u/fj8bGRnzmM59R1IZf/OIXOHbsGL761a+itrYWe/bswac+9SkEAoGM1t1Snh0xbDU7O4tLL70UlZWVCcfJxgwupROUgYsvnmAwiLa2NgiCgJaWFhgMhrTWV1rsKBniI/IbVjZPpQX5Wr19VlfWxM9PEq9zVj4fgDw7qZJLz85GBINB2Gw23HXXXbjrrrvg8/nw4osvYn5+XtHjjoyM4KWXXkJxcTGefPJJnD9/Hv/4j/8Ip9OJH/zgB2mvmxdiRw6B4PP50N7eDo7j1tzws+XZUXo2FpAodpxOJxwOByorK7Fv376MniAoZ4cgsissioqKUFVVhaqqqoThkYuLixgcHJRCXOfPn89qb5+NIM9O8giCwJRnJx6Px5OwTxqNRvzVX/2V4scVz58f//jHUiXY17/+dfzt3/4t/uM//iPtSuncXxmbIIdnRxx/UFtbi7179655whdKGAv4S/vxkZERjIyMYN++fairq5NlfRI7RLZhKbyZS1vih0du27YNsVgM8/Pz6Ovru6i3j1hwkauOzqyJCjG8z6JdAHtDU4ELDoJ0owCZUF1djdra2oSS93379kEQBExNTWH37t1prcu82BEFQjqJgTzPo6+vDzMzM7jkkksSwlbrHUdJsiF2OI5DKBRCd3c3vF4vTpw4AYvFItv6SjYVZGlTI4j1YMVroVarYbPZoFKpcPLkyYT5SZOTk+A4Tgp5lZaWZlxCnCwsenZYFRWiXSx6drxeb07EzqlTp/DEE0/A6/VKE9cHBgagUqkyemhnXuxoNJq0XH1+vx8OhwMAkspTyYbYUTpnB7hwI25ra4PZbEZLS4tsM1IAZcNw5Nkh8gHWuhXH26PX61FbW4va2lppfpLT6cTMzAz6+/thMBikXJ9MevskYxNrokJ8kGLNLnE/YM0u4MIeKofY8Xq9GBoakl6Pjo7C4XDAbrejoaEBd955J6anp/HII48AAN7znvfgC1/4At73vvfhvvvuw/nz5/HpT38at9xyS0bNfvNC7ACbD0uLRwxb1dTUoKmpKakTSa1WKz6DS+mcnampKfA8j/Lycuzfv1/2mzKFsYhcwYrAYM37uJ74ip+f1NjYmNBPpa+vD5FIRBpimmpvn80gz07yiHlErH1ewIUw1lozElPl7NmzuOqqq6TXd9xxBwDg5ptvxunTpzE7O4uJiQnp/00mE5555hl87GMfw7Fjx1BaWop3vetd+OIXv5iRHcyLHfFEiEajmza/iw9brTW1eyPyOYwVi8XQ29uL+fl5aLVa1NTUKHLxkNghCHaEF5C8p2l1bx+/358wQkCr1Sb09snEI8xiInAsFmNyEjurlVjABbGzUepHslx55ZUbPiScPn36ou81NTXhmWeeyfjY8TAvdjiOS6oiK9Ww1WryVeyIv7dYZXb27Nm8HOlATQWJfCBfPDsbwXEcjEYjjEYj6uvrwfO8NMR0fHwc3d3dMJvNUkdni8WS0obMWqgPYFOAAWz12FmNXGEsVmBe7ACbh5jm5+fR2dmZUthqNRqNRsrYV+pCFRvnyXXhLS4uoqOjA9XV1dLvna/eF2oqSOQDrG3kctijUqkkjw6QODW7s7MTPM+jpKREEj+b5U2wKCxYtAlILT0j2/j9filBuBDIC7GznmeH53n09/djeno65bDVasQTTizbVoL4pn+ZXHiCIGBoaAhjY2M4cOAAampqpP/L12GdFMYi1oM1EcyS2FEiP2b11Gyv1wun04n5+XkMDAyguLhYEkclJSUX3S9ZTFBmVeywahdwQeyYzeZcmyEbeSN2Vnt2/H4/2tvbwfM8mpubM06kyqbYyeQY4XAY7e3tCAQCOHny5EUno9IVU0oJKQpjEfkAa8JLaU9TfG+f7du3IxqNSiGvoaEhBINBWK1WSfyYzWZmE5RZFBUs5+wEAgHy7GSb1bkuYthKDN/I4QYUE6Gz0Qcn3WMsLS3B4XDAarWipaVlTcFEnh2CUBaWNvJsh9U0Gg3KyspQVlYGAAm9fcbHx6FSqaDRaGAwGBAKhbLW22czWBY7rIaxAoEAeXayjejZEcNWU1NTOHjwIKqrq2U9Dqu9dgRBwOTkJPr7+7Fr1y5s37593Ruc0p4dQRAUucGS2NmaHPrBd9H+vg/l2oyk2Wqenc1Y3dtnZWUFAwMD8Hg8ePnll2EymSSvj9VqzdnGzqrYYTVBWRAEBAIB2RrSskDeiJ1gMIjXXnsNPM+jpaVFlvr/1bA4HysajaKnpwdOpxNHjx6VkgjXQ2nvC6DMBRqLxWgQKLEurHhTci0uVsOSPSqVCjabDSaTCQaDAbW1tZLXp7e3V+rtIyY6GwyGrNnOsthh0S7gwiBQ8uzkgPHxcdTW1soWtloL1srPfT4f2traoNVq0dzcjOLi4k1/RukwFiC/2FleXkZHR4ds6xGEkrAiLgC2xI6ImLOj1WpRWVmJyspKqbeP0+mE0+nE8PCw1NuntLQUJSUlsnZ7X8smFkUF6zk78fOp8p28EDs6nQ7l5eU4cOCAosdhSeyIXaDr6uqwZ8+epC8IJcNY8dVkcjE9PY2enh40NDRgdHRUtnUJQglYDGOxtlmuZVN8b5+GhgbEYjEsLy/D6XRidHRU6u0TP8RUzt+L1XARqzk74XAYkUiEwljZRqvVKlYhFU82RkZs5nnheR6Dg4OYnJxMq5xe6YopQB6xI3a7np2dxeHDh2E0GknsEGvCmsBgyZPCsmdnI9Rq9bq9fTo6OiAIgjTENJnePsnYxJooBNgVYR6PBwDIs5NtkumgLAe5ztkJhUJwOByIRCJpl9MrKdjEduuZih3x94xGo2hubpYqNwiCdVgTXqyKnVSFxerePh6PBy6XS+rto9frE4aYpvrwy2I5PKBsq5NMWFlZAQDYbLbcGiIj7H3Ka5ANEQJkR1St97u4XC60t7fDbrfj6NGjaV8ASlc1ZRomW1paQltbG+x2Ow4ePCg91bB4IyKI1bAmLlizB8jcJo7jYLFYYLFYpN4+4hDTwcFBqbePmOhsMpk2PR55dlJjZWUFRUVFTAqxdMmL32StpoJKkIucHUEQMD4+jsHBQezduxf19fUZ3SiUDGOJ66crdqamptDb24vdu3dj27ZtCb8nizciglgLlsQFi2JHbmGh0WhQXl6O8vJyAEgYYjo2NpYw7qK0tHTNgdGsigpWE5Q9Hg+Ki4uZO7cyIW/ETiGFscRjRKNRdHZ2Ynl5GcePH5fFZahkgjKQntjheR69vb2Ym5vDkSNHUFpauua6BLEerNx0KYy1OUonTRsMBhgMBtTV1Um9fZxOp/QwFd/bx2azSfcsFu8xrIowj8eTcZ4Ua+SN2CkUz4544Xk8HjgcDhQXF6OlpWXNp5FM1leKVNcPBoNwOBxSf6T1LiDWbthE9ohEIoqWHcsJa+KCNXuA7ObHiL19bDYbdu7ciXA4DLfbDafTiZ6eHkSjUZSUlCASicBsNjP3ebHq2fF6vdDr9Ux9VpmSN2InW54dpRNl1Wo1lpeXMTY2hu3bt2PXrl2ynlBKC7ZUxI7b7YbD4UBpaSkOHDiw4ROMmPxMbD1eeuklmM1mlJaWSmXHdC4kB4uJt7kshy8qKkro7ePz+eByuTAxMQGPxwOn05kwxDTXIptVz44odgqJvBA72SgJz8ZxeJ6H2+2Gx+PB4cOHUVFRIfsxWPDsxI+32LNnDxoaGpK6IatUKvz579+L4z8+LZO1RD7Q0tICp9MJl8uFyclJcBwn5V9s1jE827DmGWDNHoAdAcZxHEwmE0wmE1ZWVmAymWA2m+FyuaTePhaLRRI/Fosl63az7NkxGAy5NkNW8kLsiJ4dpS9sJb0iwWAQbW1tCIVCKC8vV0ToANlJUN5o/Vgshp6eHiwuLiY13mL12jQfa+uh0+lQU1ODmpqahByMyclJ9PT0ALjQfLK6ujonG9Jqcn38eFgUOyw2OuR5HhqNRvIeAhfuyWKi8+TkJACgpKREEtnJdKyXwy5WPTskdnKAWP6mdE8CpcSO0+mEw+FAZWUlKioqpIZNSpDLBOVAIACHwwHgwtN6qjcLEjvEWjkYr7zyCoLBINrb2wEgweuT7analKC8Oax4duJZK0G5uLhYEtlibx+n04nZ2Vn09/dLvX1KS0ths9kUESWsenZ8Ph+FsXJBvoodQRAwMjKCkZER7Nu3D3V1dZiYmGAmp0bO9V0uFxwOByoqKrB///60LmA5GhYShUVRURFUKhV27twphSOcTiemp6elyhvxad1isWRl42BpI2dR7LDq2dnIpvjePjt27Ejo7dPf349QKASbzSaJH6PRKMvnzqpnx+/3KzJsO5fkhdhRqVRQqVSIRqOKPsnJKXYikQg6Ojrg9Xpx4sQJacaI0gnE2U5Qju8T1NTUhPr6+ozWZu3JmWADMYHdarXCarWisbER4XBYCkN0dnaC5/kEr48SYQjWxAVr9gD549nZiPjePoIgIBAIJPT2iR93Ybfb06qmFQSBac8OiZ0cwdKQzs1YWVlBW1sbTCYTWlpaEjL+WaqWynT9WCyG7u5uOJ1OHDt2DCUlJbKtTRCbUVRUhKqqKlRVVa0ZhjAYDJLXx2q1yrKpsCbGWfSisGhTJn12OI67qLfP8vKylOvT09MjDTG12+1Jn2viucSiZ8fn86GmpibXZshK3oidbPTakaPEXWxs1djYiMbGxouecLI1zkGpJz7R/kAggLa2NqhUKjQ3N8vyFE1ih0iX1WGISCQi9Vvp7u5GLBZLSD7NJB+BJa8Fa8JCEATmbALk7eqsUqlQUlKCkpISKa9M9PrEn2vxQ0zXOmfEvYa1zwq4EMYymUy5NkNW8krssOzZicVi6O3txfz8PA4fPoyysjLZj5EM4oWjVCxYpVLB5/PhlVdeQXV1NZqammS7WClnh5ALrVaLiooKVFRUQBAEeL1eOJ3OhMGSovBJJfmURc8OS+JLvH5ZsglQdjbWag+j1+uFy+XC4uIiBgcHodPppHOtpKREyjsVPysWPTuBQIDETq7IpthJ9Qbi9/vhcDjAcdyGXYLjj6EU4gUdi8Vkv4jEJl1LS0s4cOAA6urqZF2fcnaItcj0nOA4DmazGWazOWGwpNPpRF9fHyKRSILXZ7OSW5Y2ctbEjvi3Ys1bka1xEfHn2rZt2xCLxbC0tASn04nh4WEEAgGpt4+Y5MzS30+EPDs5JBuNBUVxkIpXZHFxER0dHUl7OZQuDY//HeQkGo2iq6sLKysrqKiokF3oABTGIrLD6uRTscuu+CReXFyc8CQefy9gUVywZM9W9OxshFqtXrO3j9PpxMTEBARBQFdXlxTyykZvn2QgsZNDspGzI97UkvGKCIKAoaEhjI2N4cCBA0kncynd9E98UpBTNPj9frS1tUGj0aCurk4x+0nsENkmvstuQ0MDotGo9CQ+MDCAcDgMm80miR+xOR0rsCZ2trpnZzPie/ssLS2ho6MDRqMRMzMzUlJ9/BDTXIW4gsEgzGZzTo6tFOxctZuQjTCWeDFEo9ENSwnD4TDa29sRCARw8uTJlE4KpROIAXkFlei5qqmpwd69ezE6OgqfzyfL2qshsUOsR7Y2dI1Gg7KyMpSVlUEQBPj9fulJfHh4GBzHQa/XY3FxMSH/IlewJnZY9OwIgsCM2ImH53lotVrs2LEjIane5XJJ4VWr1SoJbbl6+2yGWGovtkspFPJK7Cjt2eE4btOcmqWlJTgcDlitVrS0tKR8s4v3Hil1o5QjVCYIAkZHRzE8PJzguVJSkHAcRzk7BDNwHAej0Qij0Yj6+nrEYjF0dnYiEolgaGgIwWAwweuTrc0oHtZ62rBaiQWw6W2K99ysTqoXhbbL5cLIyAg0Go3UR6qkpCSt3j7JEggEyLOTKzQaDcLhsOLHWU/sxA+33LVrF7Zv357WTUapnJp4MvXsRKNRdHZ2Ynl5OaEhori2UraTZ4dgGbVaDZ1OB4vFgsbGxgSvz8jICLRarSR87HZ7Vrw+LHp2WLIHyM/Q2mqhzfM8lpaW4HK5MD4+ju7ubqm3jxLdw4PBIKxWq2zrsUBeiZ1AIKD4cdYSO9FoFD09PXA6nSkPt1yNeCNQuotyuqLB5/Ohra0NOp0OLS0tFz09KJlzRGKHyCfiG83FYjEsLy9Lwqe7uxtWq1XajEwmkyIigDWxQ56d5Emle7JKpZJENACEQqGLuofH9/bJZIhnMBhENBolsZMrshHGAi4WO+Lmr9VqZWmel0yoLFPSFQ0LCwvo6OhAfX09du/eveaFSJ4dNql5QcDMFexsenLCUmhzPXERPz5g9+7d0ngBp9OJ8fFxqSpHfE98V3Ul7MkVLHp2xHsti3alm4Cs0+lQXV2N6urqhN4+CwsLUkWheK6lmlu2srICACR2ckU2xkWsPs7c3By6urpQV1eHPXv2yPZkkA2xk8r6giBgeHgYo6OjOHjwIKqrqzdcW8mcHRI7BOsks2nq9XrU1taitrZWGi/gdDoxNjaGnp4eqddKaWkpzGZz2hsxi2KHNQ+KaBNLnxMgX+PX1b19xIpCl8sl9fYRvYx2u33T800UO5SgnCOyUY0lHicajaK/vx+Tk5M4ePAgqqqqZD2G0uXnqYSxIpEIOjs74fF4kqosU9qzk42/MUGkSzpepvjxArt27bqo14pKpUrw+qSSeMqa2GE1jMWaTUBqYaxUiK8oBJAwxHRiYgIcxyUMMV09XNvj8UCn0zHZ2TkT8krsZCOMBQCjo6PSzCclJr8q3VgwWdHg9XrR1tYGvV6P5ubmpG6ySoudSCSiyNoEIReZiov4Xis8z2NlZUUSPr29vRclnm50PNbEDothLFbFjlIjfVaz2ssoDsydnp5Gb28vjEYjSktL4fP5sGvXLng8nnXneaXCmTNn8MADD+DcuXOYnZ3Fk08+ieuvvz6pn3355ZdxxRVX4ODBg3A4HBnZIZJXYkfpp36XywW32w2j0YgTJ04oWhqea8/O/Pw8Ojs70dDQgN27dyd9YlMYi8gFrGygcosLlUoFm80Gm82GnTt3SomnTqcTU1NTCU/hpaWlFz2QsOZJYc0egF2xo5RnZyNUKhWsViusVisaGxsTBub+8z//M86ePYvGxkZp1uO+ffvSPt99Ph8OHTqEW265BTfccEPSP7e0tISbbroJb3rTmzA/P5/Wsdcib8SOkuMiBEHA+Pg4BgcHpVi6kmWjuUxQju/8fMkll6QcoqMEZWIro3SydHziafxT+NTU1JpeH/LsbA6rYofneUV75SRDfG+f3/zmN3A4HPj617+O8fFxHDt2DGVlZXjLW96Ca665Bm9605tSqkS+9tprce2116Zs00c+8hG85z3vgVqtxlNPPZXyz68He2fAOigVxopGo3A4HBgbG8Px48dhtVqz0qlZac/OWutHIhG0trZidnYWzc3NaeUiKS12WKq8IYi1yNZmLj6FNzY24vjx43jd616H+vp6BINBdHZ24qWXXkIgEIDb7UYoFMqKTZtBnp3kyYVnZyNUKhWOHDmCq666Cjt27IDL5cL3v/99lJSU4Atf+ALe8573KG7DD37wA4yMjOCee+6Rfe288exoNBrZxyx4PB44HA4UFxdLPWUWFhYUb16YjZyd1et7PB60tbXBaDSiubk57dJXJW0nzw7BOrkU40VFRaiqqkJVVRUEQYDH40F7eztcLhemp6dhNBolr4/Vas3JRkqeneTJVs5Oqng8HhgMBhQXF+PNb34z3vzmN+OBBx5QXFAPDg7is5/9LF588UVFIit5JXYA+cYszMzMoLu7G9u3b8euXbukCzQbJe7ZLj2fm5tDZ2fnRb9rumtTzg6RTVjz9rGwmXMcB4vFAq1Wiz179sBsNku5Pt3d3YjFYgm5Ptmapk2eneRhzbMj4vP51mxKuLpqS05isRje85734L777sOePXsUOUbeiZ1oNJqR2OF5Hn19fZiZmcGhQ4dQUVGR8P+FIHbE/CZBEDAwMIDJyck1f9d0EENNSuQKUBiLYB3Wzk/xOtRqtaisrERlZaXUZM7pdGJubg4DAwPSNO3S0lLYbDbFNllWPTsselBYtcvr9WbUgTkdPB4Pzp49i7a2Ntx2220AIEVyNBoNfv/73+ONb3xjRsfIG7HDcRxUKlVGeTvBYBBtbW0QBAEtLS1r/kGzNV1dac9ONBrF2bNnEQwGcfLkSZhMJtnWBpS5UCmMRbBOPiQExzeZ2759e0LFTW9vL6LRqDRaoLS0FHq9XjZ7yLOTPKx6dvx+vyItVzbCYrGgs7Mz4Xv/8R//gT/84Q/47//+b+zYsSPjY+SN2AEyEyJOpxMOhwOVlZXYt2/fuht1IXh2IpEIFhcXUVZWhubmZlnjnyR2iFzAksBgyZZkxNfqado+nw9Op1MaLaDX6xO8Pplc16x6dlizCWDXs+Pz+WQRO16vF0NDQ9Lr0dFROBwO2O12NDQ04M4778T09DQeeeQRqFQqHDx4MOHnKyoqUFxcfNH30yXvxE6qnh1BEDAyMoKRkRHs27cPdXV1G74/W2JHqSTomZkZjI+PQ6/X47LLLlMk1AQoM7WdcnYI1mE1jJUsHMfBZDLBZDJJowVEr09fXx8ikUiC1yfVcAaLXhQWbQLY9ez4fD6UlpZmvM7Zs2dx1VVXSa/vuOMOAMDNN9+M06dPY3Z2FhMTExkfJ1nyTuykIkQikQg6Ojrg9Xpx4sSJpGZ95Ktnh+d5DAwMYGpqCg0NDfB4PIo8zSg5tZ1ydgjWYS2Mlak9Go0G5eXlKC8vhyAI8Pv9cDqdOH/+PIaGhqSBkqWlpSgpKdnUE8FqGItFDwqrdgUCAVk8O1deeeWG9/PTp09v+PP33nsv7r333oztEMkrsZOKSFhZWUFbWxtMJhNaWlqSLrXOhtiRO2cnHA7D4XAgHA6jubkZKysrWF5elm39eMTcKSU8MBTGIojUkFN8cRwHo9EIo9GIhoYGxGIxyeszMDCAcDgMq9WK0tJSyeuz+tgshozIs5Mafr9/0xmJ+UheiZ1kw1hit9HGxkY0NjamdPEp2ak5/hhyberLy8toa2uDzWbDkSNHoNFo4PV6Fe/jo4QHhsQOsRYsefsKzbOzEWq1WhooKQgCAoEAnE4nXC4XRkZGUFRUlOD10Wg0zHp2lOyIny6senb8fr9sBS0swd4ZsAGbhbHEeR7z8/M4fPiwNPU1FUTPjtI3ETk8O9PT0+jp6cGuXbuwfft2yd5sVHspsT7l7BD5wFYRO/FwHAeDwQCDwYD6+nrEYjEsLS3B6XRieHgYgUBA6j5vMpmYEoUsenbEsmoWxU4gECDPTq7ZyLPj9/vhcDjAcRxaWlrSLqcUTz4lVXemYkfsFTQ7O7umqMtFh2a51mXpKZ4gVsPa+ZkrUaFWq6VwFgDJ6zM+Po65uTm4XC7J66P0rMHNYFXsAGDOLtGDR2Inx6zn2VlcXERHRweqq6vR1NSU0QkkCpxYLKaY2MnEMxIKheBwOBCNRtHc3LxmtUQuB41mAsdxiocQifyEFS8BwI4tovBiYcPU6/Woq6vD8vIyDAYDrFYrnE4nRkdH0d3dDYvFIokjk8mU1c+QRbEj3p9Zswsgzw4TaDQaBINB6XX8BO8DBw6gpqYm42PEix2lSNfzsrS0hLa2Ntjtdhw8eHBdMaZ07osS60ejUfT19cm6JkHIDUvhGVHssGIPACk0I46qAC40cxVzfcbHx6X/F70+6c7pSxZWxY5Y7MEawWCQxE6uifdYhMNhtLe3IxAI4OTJk7L9cTiOy8o4h1TXF5Oud+/ejW3btm14g8tGzo6cYsfv96O1tZXJJEKCiIelMBaLYmetaqzi4mLU1taitrYWPM9jeXlZCnn19PTAbDZLXh+z2Sz778Oi2GE1OZnneSn/qtDIq91FDGMtLS3B4XDAarWipaVF9k2SJbHD8zx6e3sxNzeHI0eOJNXsSa1WKza/SlxfLrEjdrauqanBjh078Pzzz8uyLkEoBSvigkWxs1k1lkqlQklJCUpKSgBcCMuLXp/JyUlwHJfg9SkqKsrYJlbFDms2ARe8OjzPk9jJNWq1Gl6vF3/+858vqkCS+zjZCGNtJkaCwSAcDgd4nk8p6VrJkQ7i+pmKHUEQMDExgYGBAamzNeXrEKxDnp2NSbXPjk6nQ01NDWpqasDzPFZWVuB0OjE5OXmR18disaT1u7IoLFjtsbOysgIAJHZyjUajQTgcxtGjR6V4sBJkI8EX2FiMuN1uOBwOlJaW4sCBAymJFnF9pZKsMxU7PM+jp6cHCwsLOHbsmPSUx+LFT+QWlsSFCCviglWxk+51rFKpYLPZYLPZsHPnToTDYcnr097eDgAJXh+dTqe4TUqhZAFMJqysrEgjRQqNvBI7Wq0WOp1OUaEDZMezA6x9wguCgMnJSfT392PPnj1oaGhI+WYWXz6vBJmIHbGaLBaLobm5OcFbxdJNm2ALVs4NSlDeGDmbChYVFaG6uhrV1dUQBEHy+kxPT6O3txcmkynB67PecVkUO6zm7Hi9XhQXFzNpW6bkldjJZOp5KijdRTne8xJPLBZDT08PFhcXM/JecRwHjuMU+6zSFTsrKytobW2FzWbDJZdcctEFJdpNbC3Onz8Pu93O3Ia0Fix5msRrkKVrRqlxERzHwWq1wmq1orGxEeFwGC6XCy6XC52dnRAEASUlJZLXp7i4OMEm1s4tlsNYxcXFTJ1TcpFXYicboxzE4ygpqtaq+AoEAnA4HACAlpaWhIs1HZRsLJiO2JmdnUVXVxd27tyJHTt2rHsxsXgDIJTlQzs/I339722fQ11dnSyJqUrBykbAkpdJJFvjIoqKilBVVYWqqioIggCPxwOn04nZ2Vn09/fDYDBIXh8WhQWrnh2Px5Px3sMqeSV2sunZycYwUFEwuFwuOBwOVFRUYP/+/bJcmEr22kmltF0QBAwODmJiYgKHDh1CRUXFpmsTW5dPHf6i9PV9L30CtbW1ObTmYljy7LAodnIxCJTjOFgsFlgsFuzYsQORSETy+nR3dyMajWJoaAgVFRWw2+1pd9eXExYFGHAhjLXWgNdCIO/EDs/zirslsyF2RC/V2NgYBgcH0dTUhPr6etnWV7LXTrJCKhqNoqOjA16vFydPnkwq6Y3FGwCRG+553Tekr7+FH+EbHfegpqZG8SZ0G8GSwGDJFhEWBoFqtVpUVlaisrISgiDgueeeg9lsxvz8PAYGBqDX6yWvj9VqzYmHhVXPjtfrZUIMKkHeiR1AeVWcLc/O8PAwvF5vQkWSXCgdxtosnCg2CtTpdDh58mTSYQnWbt4EO3zi0vukr7/46qdQV1cHk8mU9c2VlXOURbGTC8/ORoieuPr6euh0OkSjUbjdbjidTvT29iISiSTk+qw1fkcJWPfsFCJ5JXZEJRyNRhV9ulM6N8jv9yMYDILjODQ3NysSI1U6jLXR2vGNAvfu3ZvSRc3iDYBgj881/3vC6//d8wVUVlYq3oWbwlgbw4JnJ57V88M0Gg3Ky8tRXl4OQRDg8/ngcrmwuLiIwcFBFBcXS14fm82mmPeFVc+Oz+cjzw4LZGOUA3DhggiFQoqsLQoBjUaDxsZGxZLBlPyc1hM7giBgfHwcg4ODUqPAdNYmiFT52P7PS1/f/6d/Rl1dHfR6vSLnEysCg0Wxw5pnZ6Pp4mI/GZPJhIaGBkSjUSwtLcHpdKK/vx/hcBg2my3B6yPX7xaLxXIajl0Pr9cLo9GYazMUIa/EDnBBiChdkaWEUBAEAWNjYxgaGsK+ffswOzur6FNitj07PM+ju7sb58+fzygsx9KNkshP7rz8Kwmvvz1wP0pLS2Xx+pBnZ2NY8+xsJHZWo9FoUFZWhrKyMgiCAL/fD5fLBafTieHhYRQVFSV4fTI5n1j17Pj9fhI7rJCNiiy5xU40GkVXVxeWlpZw+eWXw2q1YmFhgZn5W6myWuyEQiG0tbWB5/mMw3Is3SiJwuCje+6Uvv7qubtQV1eX0TnKisBgTewIgsCcZ0ecLp6qTRzHwWg0wmg0or6+XprJ6HQ6MTg4iGAwmOD1MRqNKR2D1Zwdn89HYocVstFrR06hICbqarVaNDc3Sy3OlfS8KL1+fPLz8vIy2traUFJSgoMHD2b8tMLiDYAoHD5z9EvS1/e+eDtqampSamjIksBgzYuyOj+GBeSq3FWr1ZJXB0CC12dkZARarVb6/5KSkk29Pix7diorK3NthiLkndjJJ8/O4uIiOjo61kzUzcb8LaU9OzMzM+ju7t60UWCqaxNbi+EHT2Ln7X/M+nHvff2DCa+/5vg8amtrN6wcpDDW+hSy2FmNwWCAwWBAXV2d5PVxuVwYHh5GIBCA1WqV5niZTKaL/k6senb8fn9BzsUC8lTsZMOzk8kxBEHAyMgIRkZGcODAAdTU1Kx5jGxMVlcCjuPg9/vR09ODyy67DOXl5bKuTRC54JOXfUH6+l9fvgN1dXVrzlxi5RxlTeywOr5CaVER7/XZvXs3AoGA5PUZHx9P+P+SkhJotVqmPTskdhiBdc9ONBpFZ2cnlpeXceLECVgsFtmPkQxKhbGi0ShGR0cRDodx6tQp2S8MFp92iK3H3ae+nvD6oa77pIGUrMCa2NlKnp2N0Ov1qK2tRW1tLXiex/LyMpxOJ0ZHR9Hd3Q2LxYJAIIBgMMjc3zAQCFDODitkw7OTrqDy+Xxoa2uDTqdDS0vLhu5wlUqFSCSSiZkbooSY8vl8aG1thVqthl6vV+QJgKUbJUGIfPzgPdLX971Uiu3bt8NoNOb0fGVto9yqnp2NUKlUKCkpQUlJCXbt2oVgMAiXy4WBgQGMjIxgfHxcSnK22+05nwnn9/vXfUDPd/JS7LDo2VlYWEBHRwfq6+uxe/fuTS+wbHh25BRT58+fR3t7O2pra1FeXo6uri7Z1o6HxA7BOvFjLADgW71fREVFheINDVfDWuWTKL5YsinXYmc1xcXFqKmpwcjICA4ePAjgQu+1iYkJ9Pb2wmw2S7k+Foslq5+lIAgIBoMUxmIFjUYDv9+v6DHUarVURrnZhSIIAoaHhzE6OoqDBw+iuro66WPkQ4JyfKPA/fv3o7a2FktLS4rmAxHpUfOCgJkr6PPLNrft+5z09Zf//FnU1tYq1tAwHhY9OyzZA7AndkR4nodGo4HJZILNZsPOnTsRCoWkXJ+pqSlwHCd5fEpLS7Pi9QkEAuTZYYVsDekENs+Yj0Qi6OzshMfjwcmTJ2E2m1M6BusJyvGNAo8fPw6bzQZA+YaFBJGvfPb4lxNef2fwy7Db7Yp4fVgTO6yVwgPsip219hadTofq6mpUV1eD53l4PB5J+IheHzHktVbivByQ2GGIbIWxgI1benu9XrS1tUGv16O5uTll1a1kabi4fiaCJBgMoq2tDQAuahRIYocgkuMjuz8rff1A67+gtrZWthExrIkdVj07rFU98TwPQRA2tEulUsFqtcJqtaKxsRHhcFjy+nR2dkIQhASvj9i/LVO7gsEgiR1WyEaCMsdxG4qR+fl5dHZ2oqGhAbt3707rAleyNBzITEwtLy+jtbUVpaWlOHDgwEUXpdI9fAiiEPn0kX+Tvr73xdtRV1cHm82W9jnPmtghz05yiPf9VERYUVERqqqqUFVVBUEQJK/PzMwM+vv7YTQaJa+P1WpN63f2+XwQBEHy4BcaeSl2lPbsAGuHmQRBwNDQEMbGxnDJJZegqqpK1vXlJF0xJTYK3LVrF7Zv377mzVS8kJS4kbB08yYIpVjd0PDr7XejpqYmJQ8xa2KHVc8OizYB6T/YcRwHi8UCi8WCHTt2IBKJSF6f7u5uxGKxBK9Psp7ElZUVACDPDivkSuxEIhG0t7fD7/ejubk544z1bIidVNYXBAEDAwOYnJzctFGgkmKHtacwgsgGdxz6V+nrL7zySdTV1cFsNm94PbAodli7flm0SZzXJZddWq0WlZWVqKyshCAI8Hq9cDqdmJubw8DAAAwGg+T12ciT6PF4oFKpCrbPDltnQRJkI4wFJHZR9ng8ePXVV8FxnCxCB2ArZycSieDcuXNYWFhAc3Pzph2R48WO3LB2YyKIbPP5lq/hfQ2fwN+WfAA3WG/B5OTkmvc81sQOq2Es1nJ2lBwVwXEczGYztm/fjqNHj+J1r3ud5P3p6enBiy++iI6ODkxNTSEQCCT8rMfjQXFxcUa2nTlzBtdddx1qamrAcRyeeuqpDd//s5/9DG9+85tRXl4Oi8WC5uZm/O53v0v7+BuRd56dbAwCFY8Ti8UwNzeHzs5ObN++Hbt27ZLt5sJKzo7YKFCv1+PkyZPrJmSvXhsgsUMQ2SC+oeGXXvsM6urqYDAYmBM7rIaMWLunZFOAabVaVFRUoKKiAoIgwOfzwel0YmFhAYODg9Dr9ejq6oLdbodOp4Ner8/ob+jz+XDo0CHccsstuOGGGzZ9/5kzZ/DmN78ZX/rSl2Cz2fCDH/wA1113HV577TUcPnw4bTvWIu/EjhjGUvpCV6lUmJqawtLSEg4dOoSKigpZ1xfFlFK/RzJianFxEe3t7aivr8eePXuStkOlUoHjOEXEDms3S4JgibtOfDXx9bP/iGg0mvWGhmvBqmeHhc8mnlwNAeU4DiaTCSaTCdu2bUM0GoXb7caTTz6Jn/70p3C73VCpVPjmN7+Jt771rdi9e3fKx7j22mtx7bXXJv3+Bx98MOH1l770Jfz85z/HL3/5S9nFDltnZhJoNBqp4Z9ShMNh+Hw+rKys4OTJk7ILHeAvmfhKlnCvt7YgCBgdHYXD4cD+/fuxd+/elEWGUuXnrN0sCYJlvvSm/8C7Sj+EG6y3YHBwEIFAQNF740aQZyc5WAmtaTQalJeX4ytf+QoGBgbwqU99CiaTCb/+9a9x8OBB7Nq1C7fddhuee+65rNkk9hey2+2yr82W5E0CUaXHYjFFTpiVlRW0tbVBpVKhvr5esdbZ4gWo1O+xXhgrFouhu7sbTqcTl19+OaxWa9rrk9ghCHb452P3S1/fc+bjqKmpQWlpadauKVY9O6zZlCvPzkaoVCrY7XbU1tbi97//PXw+H55//nn89re/xXPPPYerrroqK3b8+7//O7xeL971rnfJvnbeiR0xhBKNRmVvny2WXTc2NsLn88m69mqU9uyIIy/iw2QbNQpMFaXEDmtPhgSRj9z3hocSXj/Q+i+or69XdOQAeXaSgxXPzmo8Hg/0ej0AwGg04m1vexve9ra3Ze34jz76KO677z78/Oc/VySakndih+M42cu2eZ5Hf38/pqenpbLrnp4eRaulNmtcmCnxniONRoOlpSW0tbWhrKwM+/fvz/hiI88OQeQP8Q0N73vpE6itrc2ooeFakGcnOVj07AAXkosNBkNOjv3YY4/hAx/4AJ544glcffXVihwj78QOIG/5eTgchsPhQDgcRnNzs9RjIFszuJQ6RrznaHp6Gj09Pdi9eze2bdsmy9MXiR2CyE9WT23/Rsc9qKmpSaoScyPIs5McrHp2ciV2fvKTn+CWW27BY489pqgnKW/FjhwiYXl5GW1tbbDZbDhy5EhC1r5arUYoFMr4GBuRDc/OwMAA5ubmcPjwYZSVlcm6Pokdgsh/PnHpfdLXX3z1U6irq4PJZEr5WmRVWLBmE8uenUxzVL1eL4aGhqTXYiGM3W5HQ0MD7rzzTkxPT+ORRx4BcCF0dfPNN+Ohhx7CiRMnMDc3BwDQ6/Vp55OuR16KHTl67YjejvXGImTLs6NUzo74+TidzgSPlVxQzg5BFB6fa/73hNf/u+cLqKysTKp8m7W+PwCbYodVz47f7894VMTZs2cTkpnvuOMOAMDNN9+M06dPY3Z2FhMTE9L/f/e730U0GsWtt96KW2+9Vfq++H45yUuxk4lnh+d59PX1YXZ2dkNvRz6HsbxeL1pbW8FxHC699FJF2n+TZ4cgCp+P7f+89PX9f/pn1NXVQa/Xr3mdsiosWLOJZc9OTU1NRmtceeWVEARh3f9fLWCef/75jI6XCltK7IRCITgcDkSjUTQ3N28Yn8xXsSM2CmxoaMDk5KRiF5VSITgWbwIEQQB3Xv6VhNffHrgfpaWlkteHEpSTg8VGhwAQCAQKdi4WkMdiJ9UwlliNZLfbcfDgwU3diNkQO3IKBrFR4PDwMA4cOICamhrMzs4qmhNEnh2C2Lp8dM+d0tdfPXcXwuGwoqXt6cCi2InFYsx9TsCFMJZSfeVYIG/FTiqb+OTkJPr6+lKqRsqnnJ1YLIauri643e6ERoFKCRIl12Yt5k8QxOZ85uiXpK/vOfNx1NbWwm6351xosCh2WM7ZMZvNuTZDMfJS7CSboMzzPHp7ezE/P48jR46gtLQ06WPIVfG1EXIIqmAwiNbWVqhUKjQ3N0On08m6/nqQZ4cgiLVY3dDwa47Po7a2NifeDBbFDqs5O4FAgDw7rKHVahEOhzd8TzAYhMPhAM/zaG5uljpDJks+5OyIobny8nLs37//ogsoHz07CwsLsq9JEETu+ORlX5C+/teX70BdXR0sFoviG744Q5E1YaHUiKBMEAQBgUBA9nJvlshLsbOZSHC73XA4HBl1C2Y9Z2dqagq9vb3Ys2cPGhoa1gz/KNnHR+6yeUEQcJ3hHy68ePCkbOsSBMEOd5/6esLrBzvvRU1NjSIJu2JVEGtih9UwFnl2GGS9BGVBEDA5OYn+/n7s3bsX9fX1aeeAiJu5kr0j0hEM4miLmZmZTUNzSvbx4ThOtrVjsRj+2nSzLGsRBJE/3H7JvdLX//bHT6Ourg5Go1EWgSLen1gUO6zZBFyIhmTaZ4dlCkbsxGIx9PT0YHFxEceOHUNJSUlGxxCVtzhbSglS7dIcDofR3t6OUCi0aek8oGwYS61WIxKJZLxOKBTC39jeL4NFBEHkM/9y8oGE16k0NFwLVsUOizk7sVgMwWCQwlissTp5OBAIwOFwAABaWloymuYtIoqdaDSqqNhJNswkNgo0mUw4efJkUjaxnqC8srKC91T+o0wWEQRRSMQ3NPzynz+L2tradRsaroV472OtwpPFnB2v1wsA5NlhjfhN3OVyweFwoKKiYs0k3XRRqVTgOE7RvJ1kBcPCwgI6Ojqwbds27Nq1K+mLl+UE5dnZWXyw8dMyWkQQRKHy2eNfTni9uqHhWojhItbEDos5OysrKwAAm82WW0MUJC/FjkajQSQSwdjYGAYHB9HU1IT6+nrZj6N0kvJm6wuCgJGREYyMjODgwYOorq5OaX2lB42mI3YEQcDAwEBChQZBEEQqxDc0fKD1X1BbW3uRR5/V3BgW7fJ4PFCr1SlXLecTeS12RkdHZcnP2eg4uRI7sVgMnZ2dWFpawokTJ9JyL7IWxqJEZIIg5ObTR/5N+vreF29HXV0dbDYbk6JCLIdnzbPj8XhQXFzM3OclJ3krdgRBQHNzsyz5OeuRK89OIBBAW1sb1Gr1RY0CU0GlUsmSRLze2qmInUgkgndY3qeILQRBEABw7+sfTHj98V/czNQYC/F+z5qoEMVOIcPWJ54kYpxW6WFqSoudtQSD2+3Gq6++CovFguPHj6ctdMT1lfTsJLu2x+MhoUMQRNZ56H/9F/6u/CO4wXoLurq6sLy8rFgeYzKIx2bRs1PIISwgjz07gLJl4UD2PTvJNApMdf1cJyjPz8/j/ds/qYgNBEEQybK6oeFDXfehuro6qxPIWa0Q83g8MBgMzNklJ3kpdrJRKQVkT+zwPI++vj7Mzs6mPMNrI3KZoCwIAoaHhxOahhEEQbDCxw/eI339pdc+g9raWtkaGq6HmK/Dmqjw+Xzk2WGV9booy0k2xE40GsXZs2cRDoeTahSY6vq58OwkjH4gCIJgnLtOfDXh9cN9/4by8nLZvT4sNhQELvTZIbHDKPkylXwjAoEAeJ6HRqPBkSNHZL+wcuHZoURkgiDynVub/kX6+st//izq6+uh0+kyFiosVmIBFzw7RqMx12YoSt6KHdErkq/HmJ+fR0dHBwDg0KFDilwASnp21lrb5/PhxrIPK3I8giCIXLC6oeH/GfoKSktL0xI+rHp2fD6frFEFFmHvU0+SfPXsiLksHR0d2L9/PwDkPIlYjrUXFxdJ6BAEUfB8eNc/429LPoAbrLdgeHg4pfmGLHt2Cl3s5K1nJ1s5O3L2qYlGo+jq6pIaBZpMJnR2diIWi0Gr1cp2HBElw1jxU89HRkbwTwfuVuQ4BEEQrBLf0PC+lz6B2tpa2Gy2db03rHp2/H4/7HZ7rs1QlLwWO0p7duQ8RiAQQGtrKzQaDVpaWqQmV/GiQW6yEcZ6u/7/U2R9giCIfOKe130j4fXX2+9GbW1twoMsy56dhoaGXJuhKHktdvKlGkscVlpZWYl9+/YlKHvWRjokiyAI+NY7fqTI2gRBEPnOHYf+Vfr6C698EvX19YhGo0x6dgKBACUos4rSlVJyHWNychJ9fX3Yu3fvmspZyd9DqbUDgQDeVfoh2dclMqfmBQEzV7DVw4Mgtjqfb/lawutvdv8rqqqqstrQcCP8fj9MJlOuzVAUNj7pNNBqtQiHw4oeIxOxEN8o8OjRo+vGQ5X27AiCAEEQZGti5XK5cFPtP8myFkEQxFYkPsfx/j/9M+rq6qDX63Pm9fH7/TCbzTk5drbIW7Gj0WgQCAQUPUa6QiQcDsPhcCASiWzaKFDpiilAvrEaY2NjuG3f5zJehyAIgrjAnZd/JeH1twfuR2lpaVa9PoFAgMQOq2QrjJVqXpDH40FrayssFktSjQKVDmMBmZe2U0dkgiCI7PDRPXdKX3/13F2oq6tDUVGRYl4fQRAQDAZJ7LAKiwnKYqPAHTt2YOfOnUmFjpQOYwGZiZ1YLIa/Nt0sl0kEQRBEknzm6Jekr+8583HU1tbCbrfLLnwCgQAsFousa7JGXosdVhKUxUaBo6OjuPTSS1FZWSn7MdKB47iMeu0Eg0H8bckHZLaKIAiCSJX73vBQwuuvOT6P2tpaqY1JJpDYYZhseXZ4nt8wwTcajaKzsxMrKys4efJkyq5AJRv/ieun49lZWlrC/1d9mwIWEQRBEJnyycu+IH1930ufQH19PSwWS8pen2g0inA4TGKHVbKVswOsn+Dr9/vR1tYGrVaL5ubmtBS2ko3/xPVT/ZwmJycT4sYEQRAEu6xuaPhg572orq5OqjP/ysoKAMBqtSpiGyvkrdjJhmdHFDhriR2Xy4W2tjZUV1ejqakp7Riq0qItFc8OJSITBEHkP7dfcq/09Rdf/RTq6+thNBrX3Kc8Hg+Awhc77LVyTJJs5OxwHAeO4y46zsTEBM6dO4c9e/Zg//79GSWLZSOMlcz6sViMhA5BEESB8bnmf8fNdR+XhpdOT08nOApWVlag0WhQXFyc9jHOnDmD6667DjU1NeA4Dk899dSmP/P888/jyJEj0Ol02LVrF06fPp328ZMhrz07sVhM1oZ5q+E4LsHzwvM8ent7MT8/v2GjwFRQq9WKNkdMJkwWCoXwN7b3K2YDQRAEwQYf2/956euqvy/GG9/4Ruj1+oz2UZ/Ph0OHDuGWW27BDTfcsOn7R0dH8ba3vQ0f+chH8OMf/xjPPvssPvCBD6C6uhrXXHNN2nZsRF6LHUC+hnnrIYqdcDiMtrY2RKNRNDc3Q6/Xy7a+kjk7m4WxlpeX8fdVtyp2fIIgCIJN5n4cxKM//g1O4Bq8/e1vx0c/+lG89a1vTTlace211+Laa69N+v3f+c53sGPHDnztaxfGaOzbtw8vvfQSvvGNbygmdvI2jCUmD2ejIsvj8eCVV16BTqfDiRMnZBM64vq5CmPNzMyQ0CEIgiDw5z//Gddddx10Oh0uueQSPPjgg4od69VXX8XVV1+d8L1rrrkGr776qmLHzFuxo1KpFM93Af4Suqqvr8ehQ4dk9yIp/Tus5TkSBAF9fX340M7PKHZcgiAIIj/4fexxLCwswOl04nOf+1zSeTfpMjc3d1E/usrKSqysrCg2Bipvw1iAshVZgiBgaGgIwWAQ27Ztw86dOxU5TrY9O9QRmSAIghD5fexxKV/HbrfjnnvuwT333JNjq+Qn78WOEkIhvlGg1WqFyWSS/Rgi2eizI64fiUTwDsv7FDsWQRAEkT/EC51sUlVVhfn5+YTvzc/Pw2KxyJomEk/ehrGA9AZ1bobf78cf//hHaWK5TqdTPMyUjT47Ho+HhA5BEAQBIHdCBwCam5vx7LPPJnzvmWeeQXNzs2LHzGuxI7dnx+l04tVXX0VpaSmOHTuGoqIixcVINsTOysoK3l3xUcWOQRCZMvzgyVybQBBbhqcjj8kqdLxeLxwOBxwOB4ALpeUOhwMTExMAgDvvvBM33XST9P6PfOQjGBkZwWc+8xn09fXhP/7jP/D444/jE5/4hGw2rSbvw1hyeHYEQcDExAQGBgawb98+1NXVSf/HUofjVBEEAcvLy/i3Nz6syPoEQRBEfvF05DGpmlkuzp49i6uuukp6fccddwAAbr75Zpw+fRqzs7OS8AGAHTt24Ne//jU+8YlP4KGHHkJdXR2+973vKVZ2DhSA2MlUiPA8j56eHiwsLODYsWMoKSlJ+P989exQIjJBEAQRjxJCBwCuvPJKCIKw7v+v1R35yiuvRFtbm+y2rMeWFjuhUAgOhwOxWGzdRoEajQahUCgTMzdECbFDicgEQRBEPEoJnXwhr8VOJgnKKysraG1thc1mwyWXXLLuSZANz44gCOB5PqMZWyJerxd/V/4RGSwjCIIgCoHfhn+ypYUOkOdiR6PRpDVXanZ2Fl1dXdi5cyd27NixYaJWNnJ2AMgidhYWFnDLtjvkMIsgCIIoAH4TelTRkUr5Ql5/AhqNBn6/P+n3C4KAwcFBTExM4NChQ6ioqNj0Z7Lh2QEym/ElCAJGRkbw8YOF1wiKIAiCSI9fBX4ErVabazOYIO/FTrJCJBqNoqOjA16vFydPnky6UaASvXziUalU4DgubUElCAKuM/yDzFYRBEEQ+cwv/T+ETqfLtRnMkPdiJxkh4vf70draCp1Oh5MnT6KoqCjpYyjt2cnkGJSITBAEQazmF75HUFxcnGszmCLvxc5mIsHpdMLhcKCmpgZ79+5NOS8mW2In1V47fr8f7yr9kEIWEQRBEPnIkys/UGzkQj6T92JnPc+OIAgYHx/H4ODgRY0CUz2G0mIn1cnn58+fx3vrb1fOIIIgCCLv+OnS9xWd5ZjP5LXYWc/rIjYKXFxcXLNRoBzHkJNUjjE6OoqP7f+8ovYQBEEQ+cXjzu/CYrHk2gxmyWuxs5bXJRQKoa2tDTzPo7m5OeO4pShEBEFQbGhaMmKHEpEJgiCItXhs8TsZPdRvBfJ+EGh8GGt5eRmvvvoq9Ho9Tpw4IUuCllgartT8KmDz+VixWIyEDkEQBHERn/rtB2QVOvfffz+OHz8Os9mMiooKXH/99ejv79/055544gk0NTWhuLgYl1xyCX7zm98k/L8gCLj77rtRXV0NvV6Pq6++GoODg7LZvRl5L3Z4ngfP85idncWf/vQnNDQ04NJLL5WtW2R8Hxyl2MizEwgEaMYVQRAEcRGG68K48cYbUVNTg1tuuQU//elPEQgEMlrzhRdewK233oo//vGPeOaZZxCJRPCWt7wFPp9v3Z955ZVX8O53vxvvf//70dbWhuuvvx7XX389urq6pPd89atfxTe/+U185zvfwWuvvQaj0YhrrrkGwWAwI3uThRM2mt7FONFoFL/+9a+xbds2TE9P49ChQygvL5f1GIIg4He/+x3e8IY3wGAwyLq2SFtbG0pKSrB9+/aE77tcLtxU+0+KHJNlhh88mWsT8o6aF/5yGc9coUy4VWl23v7HXJtAEHnDf45/HfX19YhEInjllVfw61//Gr/5zW/w7LPPorKyUrbjLC4uoqKiAi+88ALe8IY3rPmeG2+8ET6fD7/61a+k7508eRKXXXYZvvOd70AQBNTU1OCTn/wkPvWpTwG4EImprKzE6dOn8Xd/93ey2bseee3ZEb0uCwsLOHnypOxCBwA4jsvJ5POJiYktKXQA2vQIgiA24nuj/476+noAgFarxRVXXIGvfvWr6OrqklXoABdECQDY7fZ13/Pqq6/i6quvTvjeNddcg1dffRXAhcKaubm5hPdYrVacOHFCeo/S5HWCMsdxUKlUOHTokKLldtmYjyXm7FAiMkEQBLEe3xn8MrZt25aVY/E8j9tvvx2nTp3CwYMH133f3NzcRSKrsrISc3Nz0v+L31vvPUqT12IHuKBqlaqSEsmWZycWi1F+DkEQBLEm/7vnC9i5c2fWjnfrrbeiq6sLL730UtaOqRR5HcYCkh8ZkQnZEDuhUIiEDkEQBLEm3+i4B01NTVk73m233YZf/epXeO655zZtyltVVYX5+fmE783Pz6Oqqkr6f/F7671HafJe7LDW9C8dwuEw/uXkA4qtTxAEQeQvD7T+y4ZhJDkRBAG33XYbnnzySfzhD3/Ajh07Nv2Z5uZmPPvsswnfe+aZZ9Dc3AwA2LFjB6qqqhLes7Kygtdee016j9LkfRgrG54dJUdGTE1N4bPHv6zI2gRBEER+c/+f/hmXXXZZ1o5366234tFHH8XPf/5zmM1mKafGarVKM7duuukm1NbW4v777wcAfPzjH8cVV1yBr33ta3jb296Gxx57DGfPnsV3v/tdABfya2+//XZ88YtfxO7du7Fjxw58/vOfR01NDa6//vqs/F4kdpJACc8OJSITBEEQG/GFVz6JY8eOZfWY3/72twEAV155ZcL3f/CDH+C9730vgAvVwvFDtVtaWvDoo4/ic5/7HO666y7s3r0bTz31VII36jOf+Qx8Ph8+9KEPYWlpCa973evw9NNPZ206e1732QGAP//5zzCbzUm52tKlvb0dZrMZjY2NsqxHicibQ712UiO+zw6Qn712qOUAQfyFu1/4J7z+9a/PtRkFA+XsZPkYlIhMEARBbMSd//NREjoyk/diJ1thLDmOsbKygr+xvV8Giwii8Ai840SuTSCInPOp334Ab3zjG3NtRsFREGInHzw7s7OzeE/lP8pkEUEUJiR4iK3Mx39xM6655ppcm1GQkNhJgkzEjiAI6O/vxwcbPy2zVQRReOiffC3XJhBETvjof78bb3/723NtRsFC1VhJkK7YoURkgkgeEjrEVuUDP/lb3HDDDbk2o6Ahz04SpCN2IpEICR2CSBKqxCK2Kjf91//CjTfemGszCp6CEDuseXY8Hg/eYXmfghYRROFAQofYqrz7e9fiH/6B+q1lg4IQO0p7dlI5xvz8PN5d8VFF7SGIQoGEDrGVueWWW3JtwpYh78WOXGXhmx1jM7EjCAKGhobw/u2fVNQWgigUSOgQW5nfxx6Xdb0zZ87guuuuQ01NDTiOw1NPPbXh+9/73veC47iL/h04cEB6z7333nvR/2dzGKmc5L3YYSFnRxz9cPsl9ypqB0EUCiR0iK2M+i0ePPzwwxgfH5dtTZ/Ph0OHDuHhhx9O6v0PPfQQZmdnpX+Tk5Ow2+145zvfmfC+AwcOJLzvpZdeks3mbELVWEmwkdiJRCKUn0MQKUBCh9jKPNz3b/j1r3+NJ598Ep/4xCfQ1NSEn/3sZ9i9e3dG61577bW49tprk36/1WqF1WqVXj/11FNwu9143/sS9zONRoOqqqqMbGOBghA7giCA5/mEwWRyIoodQRDAcX+ZOeTz+XBj2YcVOSZBFCIkdIitzO9jj4PjOOzZswef+MQnsLS0hN/97neor6/PtWn4/ve/j6uvvhrbtm1L+P7g4CBqampQXFyM5uZm3H///WhoaMiRlemT92EstVoNAIp6d9RqNQRBQPzM1MXFRRI6BJECJHSIrYwodOKx2Wy48cYbszb5ez1mZmbw29/+Fh/4wAcSvn/ixAmcPn0aTz/9NL797W9jdHQUr3/96+HxeHJkafrkvWdHFDtK5u3EC6qioiKMjIzgnw7crdjxCKLQIKFDbGXWEjos8V//9V+w2Wy4/vrrE74fHxa79NJLceLECWzbtg2PP/443v/+/JrzmPdih+M4xfN24sXODVYqFSSIVCChQ2xlWBc6giDgP//zP/EP//APKCoq2vC9NpsNe/bswdDQUJask4+8D2MB8gzq3Aix5O5dpR9S7BgEUWjsvP2PJHSILQ3rQgcAXnjhhQttU5Lw1Hi9XgwPD6O6ujoLlslLQYgdpT07gUAA//v6Hyq2PkEUGiRyiK3O05HHsip0vF4vHA4HHA4HAGB0dBQOhwMTExMAgDvvvBM33XTTRT/3/e9/HydOnMDBgwcv+r9PfepTeOGFFzA2NoZXXnkF73jHO6BWq/Hud79b0d9FCfI+jAUo22vH5XLhptp/UmRtgihESOgQW52nI49J6Q/Z4uzZs7jqqquk13fccQcA4Oabb8bp06cxOzsrCR+R5eVl/PSnP8VDDz205ppTU1N497vfDafTifLycrzuda/DH//4R5SXlyv3iygEJ8SXGOUpL730EmpqalBbWyvrumNjY7ht3+dkXZPYnMA7TmDmCrZdv6xR80LiZZyrz4+EDrHVyYXQITaHPDtrIHZEJrJP4B0nAFzYvEnw5BckdIitzm/DPyGhwyiUs7OKWCxGQidHiEKHyD9I6BBbnd+EHoVGUxD+g4KkIMSOXNVYwWAQf226WQaLiHTQP/lark0g0oCEDrHV+VXgR9Bqtbk2g9iAgpChcnh2KBGZDRIEzxUnc2cIkRQkdIitzi/9P4ROp8u1GcQmFIzYCYfDaf/85OQkPrrnThktIuQgfiMdfpCED2uQ0CG2Or/wPZLzUQ9EchSM2EknjEWJyPnD6o2VxE9uIaFDbHWe8pyGXq/PtRlEkhSM2Ek1jBWLxSg/J48hr0/uIKFDbHV+uvR9GI3GXJtBpEDBiJ1UPDuhUAh/Y8uvIWbE+pDwyR4kdIitzuPO78JiseTaDCJFCkLsqNXqpD07y8vL+PuqWxW2iMgVJHyUg4QOsdV5bPE7KCkpybUZRBoUROl5sp6dmZkZEjpbCHEQJW3SmUGfIUEAP557GKWlpbKueebMGVx33XWoqakBx3F46qmnNnz/888/Lw2mjv83NzeX8L6HH34Y27dvR3FxMU6cOIE//elPstqdjxSM2NnIsyMIAvr6+vChnZ/JolUES5DwSQ/6vAgCeNXwW/zjP/4jHnnkEZw/f162dX0+Hw4dOoSHH344pZ/r7+/H7Oys9K+iokL6v//7f/8v7rjjDtxzzz1obW3FoUOHcM0112BhYUE2u/ORgpiNtbKyghdffBFXX331Rf9HicjERhRKqEuJ2VgkdAgC+P7Y1+ByufCLX/wCv/zlL9HW1oYbbrgBjz/+uKzH4TgOTz75JK6//vp13/P888/jqquugtvths1mW/M9J06cwPHjx/Gtb30LAMDzPOrr6/Gxj30Mn/3sZ2W1OZ8oiJwd0bMjCAI47i83+UgkgndY3pdDywjWoZL2tSGhQxDA90b/HQ0NDWhoaMBll12Gu+++GzMzMxgaGsqpXZdddhlCoRAOHjyIe++9F6dOnQIAhMNhnDt3Dnfe+Ze+cSqVCldffTVeffXVXJnLBAUjdoALClYcwubxePDuio/m0iwiD6EEZxI6BAEA3xn8MrZt23bR92tqalBTU5MDi4Dq6mp85zvfwbFjxxAKhfC9730PV155JV577TUcOXIE58+fRywWQ2VlZcLPVVZWoq+vLyc2s0JBiB1R4ESjUajVaszOzuKDjZ/OsVVEvrMVhQ8JHYIAvtX7RezcuTPXZlzE3r17sXfvXul1S0sLhoeH8Y1vfAM//OEPc2gZ+xSM2OE4DtFoFMPDw/jM0S/l2iSiwNgKwoeEDkEAD3bemyAoWOfyyy/HSy+9BAAoKyuDWq3G/Px8wnvm5+dRVVWVC/OYoSDEDnAhLnlj2YdzbQaxBShE4UNChyCAB1r/BQcOHMi1GSnhcDhQXV0NACgqKsLRo0fx7LPPSonOPM/j2WefxW233ZZDK3NPQYidcDiMh/7Xf+XaDGILUgjCh4QOQQD3/+mfcdlll2X1mF6vNyHZeXR0FA6HA3a7HQ0NDbjzzjsxPT2NRx55BADw4IMPYseOHThw4ACCwSC+973v4Q9/+AN+//vfS2vccccduPnmm3Hs2DFcfvnlePDBB+Hz+fC+923tYp28Fzsulwt/8zd/Aw3Kcm0KscXJx8ouEjoEAXzhlU/i2LFjWT/u2bNncdVVV0mv77jjDgDAzTffjNOnT2N2dhYTExPS/4fDYXzyk5/E9PQ0DAYDLr30UvzP//xPwho33ngjFhcXcffdd2Nubg6XXXYZnn766YuSlrcaed1np7+/H29/+9tx8OBB/PCHP4TRaITD4aCcHYI5lBY+6fTZIaFDEMA9Zz6O173udbk2g1CYvBU7fr8fO3fuxHvf+17827/9G1SqxGbQgiCgu7sbn7j0vhxZSBBro4TwWS12gI0FDwkdggDu/J+P4o1vfGOuzSCyQN6KHQAYGxvD9u3bN32fIAgYHBzEj370I7z6xV7lDSOIJJFL+CQrdkjkEMQFPv30B/GWt7wl12YQWSKvxU46CIKAsbEx/OhHP8KZezpybQ5BSGQifJIROyR0COICt//yvXjb296WazOILLLlxE48giBgZmYGP/zhD/HsXedybQ5BSKQqfDYTOyR0COIC//jT9+Ad73hHrs0gssyWFjvxCIKAhYUF/PjHP8ZvP7W1Z4gQbJGM8NlI7JDQIYgLfOAnf4sbb7wx12YQOYDEzjo4nU48+uij+MXHz+TaFIJIYC3xs57YIaFDEBe46b/+F/7hH/4h12YQOYLEThK43W48/vjj+O+P/k+uTSGIBEThs5bY0T/5WrbNIQgmeff3rsUtt9ySazOIHEJiJ0U8Hg/++7//G4++/ze5NoUgEgi844T0NQkdgvgLz/BP5NoEIseQ2MkAv9+PJ598Eqf/4alcm0IQBEGswe9jj4PjNm+ySRQ2qs3fQqyHwWDA3//93+MZ/gn8KvAjfOj/vivXJhEEQRD/DyWEzpkzZ3DdddehpqYGHMfhqaee2vD9P/vZz/DmN78Z5eXlsFgsaG5uxu9+97uE99x7773gOC7hX1NTk6x2b3VI7MiETqfDO9/5Tvxw5n9j6egYZvdT80KCIIhc8b4fvQPLy8uyr+vz+XDo0CE8/PDDSb3/zJkzePOb34zf/OY3OHfuHK666ipcd911aGtrS3jfgQMHMDs7K/176aWXZLd9K0NhLBnp6urC2972NrzhDW/A9773Peh0OkSjUfz+97/HN97+g1ybRxAEsSU4+S9N+MUvfoGenh5cccUV+Ou//mt86EMfgk6nk/U4HMfhySefxPXXX5/Szx04cAA33ngj7r77bgAXPDtPPfUUHA6HrPYRf4E8OzIhCAI+/OEP45ZbbsEjjzwiXVQajQZvfetb8Qz/BJ6OPIZ//v2Hc2wpQRBE4fL72OP4whe+gPb2dgwMDOC6667Dc889B41Gk2vTAAA8z8Pj8cButyd8f3BwEDU1NWhsbMTf//3fJ0w7JzKHPDsyEggEoNfrk3pvLBbDK6+8gn+94psKW0UQBLE1yHYycjqena9+9av48pe/jL6+PlRUVAAAfvvb38Lr9WLv3r2YnZ3Ffffdh+npaXR1dcFsNitk/daCxA4DCIKA1157DZ9v+VquTSEIgshLclF1larYefTRR/HBD34QP//5z3H11Vev+76lpSVs27YNX//61/H+979fJmu3Nmz49bY4HMfh5MmTeIZ/AoIgwOFw4DNHv5RrswiCIPKCfCgvf+yxx/CBD3wATzzxxIZCBwBsNhv27NmDoaGhLFlX+FDODmNwHIfDhw/jGf4J/D72OL7RcU+uTSIIgmCWpyOPMS90fvKTn+B973sffvKTnyQ1bd3r9WJ4eBjV1dVZsG5rQJ4dhuE4DgcPHpQ8PgMDA/jRj36EP/5bX65NIwiCyDlPRx6DWq3O6jG9Xm+Cx2V0dBQOhwN2ux0NDQ248847MT09jUceeQTAhdDVzTffjIceeggnTpzA3NwcAECv18NqtQIAPvWpT+G6667Dtm3bMDMzg3vuuQdqtRrvfve7s/q7FTKUs5OHCIKA0dFR/OhHP8KL93bm2hyCIIiskwuhAwDPP/88rrrqqou+f/PNN+P06dN473vfi7GxMTz//PMAgCuvvBIvvPDCuu8HgL/7u7/Dmf9/e3ce1sTZ9Q/8O0Zl0apQZbOKKApuEAoSwb0iYK0Fn6pAbVnq8riLqFh9FajYFxe0VFFxgQewApKq+LpFUhSpslhRWq3LpRSlWkKxFTVU1Cbz+4OfU/OwI2QCOZ/ryoVMzsyckUtzuOee+2Rl4Y8//kCPHj0wcuRIfPnll+jXr19LXopWoWKnlWNZFvfv38c333yDM/9zme90CCGkxZ16kawxj5KT1oGKnTaEZVmUlpbiwIEDkKzI5TsdQghpdlTokKZQ+wTlHTt2oE+fPtDV1YVIJMLFixfrjBeLxbC2toauri6GDh2KkydVu42zLIuQkBCYmppCT08PLi4uuH37dktegsZiGAYmJiZYtmwZpEoxkn/fhclRo/hOixBCmsXJ50lU6JAmUWuxc/DgQQQFBSE0NBSXL1+Gra0t3Nzc8Pvvv9cYn52dDR8fH8ycORNXrlyBp6cnPD09ce3aNS5m06ZN2LZtG2JiYpCXl4dOnTrBzc0NlZWV6rosjdW9e3csXrwYcw5OR7beSfTw7sB3SoQQ0iTH/tqPDh3o/zDSNGq9jSUSiTBs2DBER0cDqFo2u1evXli0aBE+//zzavFeXl6oqKjA8ePHuW3Dhw+HUChETEwMWJaFmZkZli1bhuXLlwMAHj9+DGNjY8THx8Pb21s9F6ahWJbFV199hdDQUCQnJ+ODDz4AADx9+hRisRjJs07xnCEhhNTv/yoSG7w6PSE1UdvIzosXL5Cfn6+ymFK7du3g4uKCnJycGvfJycmptviSm5sbF19UVASZTKYS07VrV4hEolqPqU1u3bqFrVu34uzZs1yhAwBvvfUWPvvsM0iVYhyVJ8A34UMesySEkNqlPY2nQoe8MbUVOw8fPoRCoYCxsbHKdmNjY27dgf8mk8nqjH/1tTHH1CbW1ta4c+cOHBwcao3R19fHp59+CqlSjGN/7cfslGlqzJAQQmp3qDwWnTp14jsN0gbQCsptnK6ubqNip0+fDqlSjJPPkzD/0MctmBkhhNRO/OdedOnShe80SBuhtmKne/fuEAgEKC0tVdleWloKExOTGvcxMTGpM/7V18YckzRMhw4dMGXKFEiVYpx6kYzAY/58p0QI0RIpZTHo1q0b32mQNkRtxU7Hjh1hb2+PjIwMbptSqURGRgacnJxq3MfJyUklHgCkUikXb2FhARMTE5WYJ0+eIC8vr9ZjksZr3749Jk2aBKlSDMnLFASfnsN3SoSQNuqAbAfefvttvtMgbYxaFywICgqCn58fHBwc4OjoiKioKFRUVCAgIAAA4Ovri549eyIiIgIAsGTJEowZMwZbtmzBpEmTkJKSgkuXLmHPnj0AqtaVCQwMxPr169G/f39YWFhg7dq1MDMzg6enpzovTWsIBAJMmDABE5QToFAocOHCBYSP3c53WoSQNiDxwTYYGRnxnQZpg9Q6Z8fLywuRkZEICQmBUChEQUEBJBIJN8G4uLgYJSUlXLyzszOSkpKwZ88e2Nra4ttvv0VaWhqGDBnCxQQHB2PRokWYM2cOhg0bBrlcDolE0qi5KqRpBAIBRo8ezXVoD89exndKhJBWKu7e1hbp8p2VlYXJkyfDzMwMDMMgLS2t3n0yMzPx7rvvQkdHB5aWllwPq9c1doFcwi9qF0GaHcuyuHz5Mj4ftoHvVAghrcAz5xJ4e3vDw8MDvXr1atZjnzp1ChcuXIC9vT3+9a9/4ciRI3WO/BcVFWHIkCGYO3cuZs2ahYyMDAQGBuLEiRNwc3MDULVArq+vL2JiYiASiRAVFQWxWIxbt27RyJSGomKHtCiWZXHt2jUE2a7jOxVCiAZam7kIBQUFSEtLw/fffw9bW1v4+flh0aJFzX4uhmHqLXZWrlyJEydOqKzU7+3tjfLyckgkEgCNXyCX8E/rHz1vzFDk3r17MWrUKBgYGMDAwAAuLi7V4v39/cEwjMrL3d29pS9DYzEMg6FDh3K3uqJvrOc7JUKIhoi+sR6jR4/G4sWLcebMGZSWlmLJkiUQCAS85VTfYrZNWSCX8E+ri53G9urKzMyEj48Pzp49i5ycHPTq1Quurq548OCBSpy7uztKSkq4V3JysjouR+MxDAMrKytIlWJs/TEE14zP40+7X/hOixDCg6irYbCyslLZZmhoiE8//RTz58/nKavaF7N98uQJnj171qQFcgn/tLrY2bp1K2bPno2AgAAMGjQIMTEx0NfXR1xcXI3xBw4cwPz58yEUCmFtbY19+/Zxj8+/TkdHByYmJtzLwMBAHZfTanz//fcYPXo05s6di0uXLiFdkYrYu1swbr0d36kRQtQg8soaDB48mO80iBbR2mKnOYYi//rrL7x8+RKGhoYq2zMzM2FkZAQrKyvMmzcPf/zxR7Pm3po9fPgQkydPxoYNGxAaGsrd6uvduzdWr16NdEUqEh9sg9smEd+pEkJawIYfPoetrS3fadSqtsVsu3TpAj09vSYtkEv4p7XFTnMMRa5cuRJmZmYqBZO7uzsSExORkZGBjRs34ty5c5g4cSIUCkWz5t9ade/eHdeuXcO///3vGt9nGAampqZYvnw50hWpSCrdiclRo9ScJSGkJYRnL4O9vT3fadSpvsVsm7JALuGfWhcVbEs2bNiAlJQUZGZmqqzp4+3tzf156NChsLGxQb9+/ZCZmYnx48fzkarGeeeddxoUxzAMevTogcWLF2Px4sV49OgRUlJScHjBmRbOkBDS3EKzlmD48OFqP69cLsedO3e474uKilBQUABDQ0P07t0bq1atwoMHD5CYmAgAmDt3LqKjoxEcHIzPPvsMZ86cQWpqKk6cOMEdo74Fconm0dqRnTcZioyMjMSGDRuQnp4OGxubOmP79u2L7t27q/xjI01jYGCAefPmQaoU41B5LLz3au9TboS0Jqu+m4eRI0fycu5Lly7Bzs4OdnZVcwKDgoJgZ2eHkJAQAEBJSQmKi4u5eAsLC5w4cQJSqRS2trbYsmUL9u3bx62xA9S/QC7RPFq9zo5IJIKjoyO2b69qd6BUKtG7d28sXLiw1rUSNm3ahC+//BKnT59u0G8p9+/fR+/evZGWloYPP/ywWfMnVeRyOQ4fPoz9/sf4ToUQ8l9WSGbD1dWV7zSIltPqYufgwYPw8/PD7t27uaHI1NRU3Lx5E8bGxtV6dW3cuBEhISFISkrCiBEjuON07twZnTt3hlwuxxdffIGPPvoIJiYmKCwsRHBwMJ4+fYqrV69CR0eHr0vVGpWVlTh69Cj2+XzLdyqEaL3AY/6YNGkS32kQot3FDgBER0dj8+bNkMlkEAqF2LZtG0SiqieBxo4diz59+nB9Ufr06YN79+5VO0ZoaCjCwsLw7NkzeHp64sqVKygvL4eZmRlcXV0RHh5Ow5s8ePnyJY4dO4ZdU2mdI0LUbcHhGdSQmWgMrS92iHb4+++/cfr0aURNjuc7FULavNkp0zB9+nS+0yCEo7UTlIl2ad++PSZNmgSpUgzJyxQEn57Dd0qEtEn++z2p0Pn/3nnnHezcuVNlW3Z2NvT19Wu8S0BaDhU7Gqgx/bri4+Or9eJ6/VF4oKoZZ0hICExNTaGnpwcXFxfcvn27pS9DYwkEAkyYMIErfNacXch3SoS0CR/Hvo8ZM2bwnYbGEIlE+OGHH7jvWZZFYGAgli5dCnNzcx4z0z5U7GiYxvbrAoAuXbqo9OL6798YNm3ahG3btiEmJgZ5eXno1KkT3NzcUFlZ2dKXo/EEAgHGjBkDqVKM038fxNRdLvXvRAipEa0zo2r48OEqxc7+/fvx66+/YtWqVTxmpZ2o2NEwje3XBVQtvvd6L67XJ0OzLIuoqCisWbMGHh4esLGxQWJiIn777TekpaWp4YpaD4lEgmXLluGjneORrkhFxMWVfKdESKuRrkjlOwWNM3z4cNy4cQNyuRwVFRVYvXo11q9fj86dO/OdmtahYkeDNLVfl1wuh7m5OXr16gUPDw/8/PPP3HtFRUWQyWQqx+zatStEIlGDe4BpgyNHjmDatGmIi4vD3LlzwTAMHBwcIFWKka5IxZaCtXynSIjGSlekgmEYvtPQOPb29mjXrh0uX76MjRs3okePHjT6xRNqF6FB6urXdfPmzRr3sbKyQlxcHGxsbPD48WNERkbC2dkZP//8M9555x2uz9eb9ADTBra2tkhLS8OECROqvccwDGxsbCBVisGyLG7duoVFg6j4IQSgQqcu+vr6GDp0KA4dOoS9e/fi5MmTaNeOxhj4QMVOK+fk5KTSfM7Z2RkDBw7E7t27ER4ezmNmrUvfvn3Rt2/feuMYhoG1tTVX+Pzyyy/Yv38/Lqz7ud59CWlrqNCp3/Dhw7F9+3Z4eHhg7NixfKejtajE1CBv0q/rlQ4dOsDOzo7rxfVqvzc5JqkZwzDo168fwsLCkK5Ixb6iSIwNF/KdFiFq0ZKFTmOeSB07dmy1J1IZhlFZudnf37/a++7u6umtZ2triw4dOmDz5s1qOR+pGRU7GqRjx46wt7dHRkYGt02pVCIjI0Nl9KYuCoUCV69ehampKYCqpnYmJiYqx3zy5Any8vIafExSP4ZhYG5ujv/5n/9BuiIVCfe/hutGR77TIqRFbMpf3WLHbuwTqYcPH1Z5GvXatWsQCASYNm2aSpy7u7tKXHKyelZWT0lJwcKFC2FpaamW85Ga0QrKGqax/brWrVuH4cOHw9LSEuXl5di8eTPS0tKQn5+PQYMGAajq6bVhwwYkJCTAwsICa9euxU8//YTr169XW5OHNC+WZVFWVobk5GQcX3qe73QIeWMGUxmcPHkSPXr0wJQpUzBlyhQ4OztDIBA0y/FFIhGGDRuG6OhoAFW/8PXq1QuLFi2qtUHz66KiohASEoKSkhJ06tQJQNXITnl5udqeQFUqlSgrK0NsbCx27tyJ69evo0uXLmo5N6kZzdnRMF5eXigrK0NISAjXr0sikXATjIuLi1UmuD169AizZ8+GTCaDgYEB7O3tkZ2dzRU6ABAcHIyKigrMmTMH5eXlGDlyJCQSCRU6asAwDIyMjLBkyRIsWbIEf/75Jw4ePIjDC87wnRohjfbq1lVlZSW+++47HDlyBJ988gmuX7/OFRZv4tUTqa+vQ9OQJ1JfFxsbC29v72r5ZGZmwsjICAYGBnjvvfewfv16vP3222+cc02ysrLw3nvvwdraGocOHaJCRwPQyA4hPHny5AlSU1NxcM5pvlMhpF6Slyk1jt6wLNtsc3d+++039OzZE9nZ2Sq32YODg3Hu3Dnk5eXVuf/FixchEomQl5cHR8d/biOnpKRAX18fFhYWKCwsxOrVq9G5c2fk5OQ024gU0Ww0skMIT7p06YJZs2Zh1qxZkMvlOHz4MPb7H+M7LUKqqa3QAaBRT2PFxsZi6NChKoUOAHh7e3N/Hjp0KGxsbNCvXz9kZmZi/Pjx6k6T8IAmKJMGaUtPR2iizp07w9fXF1KlGMf+2o/PDvyL75QIAVB3odPc3uSJ1IqKCqSkpGDmzJn1nqdv377o3r0799Qqafuo2CH1amtPR2g6XV1d+Pj4QKoU40TlAcwVe9e/EyEt4NSLZLXe5nmTJ1LFYjGeP3+OTz75pN7z3L9/H3/88Qf31Cpp+6jYIfVqbL8uQ0NDlV5dUqkU+vr61YodHR0dlTgDAwN1XE6r0rFjR3z44Yfo7tUevw64ihlxk+rfiZBmcOpFMtq3V/9Mh6CgIOzduxcJCQm4ceMG5s2bh4qKCq7Ngq+vb42NNGNjY+Hp6Vlt0rFcLseKFSuQm5uLu3fvIiMjAx4eHrC0tISbm5taronwj+bskDq1lacjWqvKykpMnz4dxcXFyMrKgpGREfz9/aFQKJCRkYHN7nv5TpG0QSefJ/FS6ACNfyIVAG7duoXz588jPT292vEEAgF++uknJCQkoLy8HGZmZnB1dUV4eDh0dHTUck2Ef/Q0FqkTPR3Br1OnTmH9+vU4fvx4rSNfCoUCWVlZ+N/xO9WcHWmLjv21n5alIG0OjeyQFkVPR7yZiRMnwtXVtc4CUCAQYNy4cRinHAeFQoHc3FyEjYpSX5Kkzfi/ikQqdEibRHN2SJ3o6Qj+NWakSyAQYMSIEZAqxUhXpCLi4soWzIy0JWlP46Gnp8d3GoS0CCp2SJ3o6YjWi2EYODg4cIVP5JU1fKdENNSh8thmWQGZEE1Fc3ZIvRrbr+uVUaNGoWfPnkhJSVHZLpfL8cUXX+Cjjz6CiYkJCgsLERwcjKdPn+Lq1as0abCFsSyLmzdvYvHgEL5TIRpA/OdedOvWje80CGlRNGeH1IuejmhbGIbBwIEDIVWKwbIsCgsLsX//fmSHX+c7NaJmBx/upkKHaAUa2SGEAKga8bl37x4OHDiAzLUFfKdDWtgB2Q4YGRnxnQYhakHFDiGkGpZlUVJSggMHDiB9Ze2tQUjrlPhgG82PI1qFih1CSJ1YlkVZWRmSkpJwIugC3+mQNxT/axR69uzJdxqEqBU9jUVapaysLEyePBlmZmZgGAZpaWn17pOZmYl3330XOjo6sLS0RHx8fLWYxjQ81RYMw8DIyAiBgYGQKsU4+HA3pkSP4zst0gT7iiKp0CFaiYod0ipVVFTA1tYWO3bsaFB8UVERJk2ahHHjxqGgoACBgYGYNWsWTp8+zcU0tuGptjI0NMT8+fMhVYrx7aN9MJxG/420BjG3N8Dc3JzvNAjhBf0vRVqliRMnYv369ZgyZUqD4mNiYmBhYYEtW7Zg4MCBWLhwIaZOnYqvvvqKi2lsw1NS9fcqlUoRcXEljjz5Dz75zwd8p0RqEH1jPfr169dix2/MiGh8fDwYhlF5/feqzSzLIiQkBKamptDT04OLiwtu377dYvmTto+KHaIVcnJy4OLiorLNzc2Na2b6quHp6zGNbXiqbcLDwxEZGYkzZ87AwcEBnTt3hp+fH6RKMY7KExDwTcMKUdKyoq6GwcrKqsWO35QR0S5duqCkpIR73bt3T+X9TZs2Ydu2bYiJiUFeXh46deoENzc3VFZWtth1kLaNih2iFWQyGbcu0CvGxsZ48uQJnj17hocPH0KhUNQYI5PJ1Jlqq/HOO+/g7NmzEAqF1d7T19fHxx9/DKlSjOPPvsFcsXf1A5AWpzupEoWFhXj27FmLnaMpI6IMw8DExIR7vf7vjmVZREVFYc2aNfDw8ICNjQ0SExPx22+/NWhuHiE1oWKHENIkAQEBGDJkSL1xOjo6+OijjyBVinHyeRIWH/VVQ3ZkRtwkWFtbY+nSpejRowemT58OsVjcrOdo6oioXC6Hubk5evXqBQ8PD/z888/ce0VFRZDJZCrH7Nq1K0QiEY2ykiajYodoBRMTkxqbmXbp0gV6enpv1PCUNFyHDh0wefJkSJVinHqRjOWnZvGdUpu0Pmc5/P39sXnzZty5cwcXLlzAwIEDVSbkN4emjIhaWVkhLi4OR48exTfffAOlUglnZ2fcv38fALj9aJSVNCdqF0G0gpOTE06ePKmyTSqVcs1MX2946unpCeCfhqcLFy5Ud7paoX379nBzc4Ob0g0KhQLnzp1DhMsuvtNq9cK+D4RIJOK+ZxgGtra2sLW15TGrfzg5Oak0EXZ2dsbAgQOxe/duhIeH85gZactoZIe0SnK5HAUFBSgoKABQNfRdUFCA4uJiAMCqVavg6/vP7ZK5c+fil19+QXBwMG7evImdO3ciNTUVS5cu5WKCgoKwd+9eJCQk4MaNG5g3bx4qKioQEBCg1mvTRgKBAO+99x6kSjEkL1MQ9n0g3ym1Sqsz5mPEiBFqO19zjIh26NABdnZ2uHPnDgBw+9EoK2lOVOyQVunSpUuws7ODnZ0dgKpCxc7ODiEhVZ28S0pKuMIHACwsLHDixAlIpVLY2tpiy5Yt2LdvH9zc3LgYLy8vREZGIiQkBEKhEAUFBSoNT4l6CAQCjBgxAlKlGOmKVPxvXjDfKbUKwafnYNw49S72+PqI6CuvRkRfH72pi0KhwNWrV7n2FRYWFjAxMVE55pMnT5CXl9fgYxLy36hdBCGkVWBZFj/++CNWvPsl36lonMBj/pg0aRIv5z548CD8/Pywe/duODo6IioqCqmpqbh58yaMjY3h6+uLnj17IiIiAgCwbt06DB8+HJaWligvL8fmzZuRlpaG/Px8DBo0CACwceNGbNiwAQkJCbCwsMDatWvx008/4fr169XW5CGkIWjODiGkVWAYBkKhEFKlGCzL4saNG1gyJJTvtHi34PAM3godoGpEtKysDCEhIZDJZBAKhSojosXFxWjX7p+bCI8ePcLs2bMhk8lgYGAAe3t7ZGdnc4UOAAQHB6OiogJz5sxBeXk5Ro4cCYlEQoUOaTIa2SGkGWVlZWHz5s3Iz89HSUkJjhw5wk14rsnhw4exa9cuFBQU4Pnz5xg8eDDCwsJUbq+FhYXhiy++UNnPysoKN2/ebKnLaFVYlsWdO3ewf/9+5Ky/wXc6ajU7ZRqmT5/OdxqEaDyas0NIM2psz66srCxMmDABJ0+eRH5+PsaNG4fJkyfjypUrKnGDBw9WWXH2/PnzLZF+q8QwDPr3749169YhXZGKPYWbMPoLG77TanH++z2p0CGkgWhkh5AWwjBMvSM7NRk8eDC8vLy4ydZhYWFIS0vjnjwjDaNUKjF//nwkJyfD8akr3+k0q49j36enBAlpBBrZIUSDKJVKPH36FIaGhirbb9++DTMzM/Tt2xczZsxQedKMVMeyLIKDg3H8+HHk5+cjXZGKb0qi8f4WZ75TaxZU6BDSOFTsEKJBIiMjIZfLVW5PiEQixMfHQyKRYNeuXSgqKsKoUaPw9OlTHjPVbOHh4UhJSUFmZiYsLS3BMAyMjY2xdOlSSJVipJTFwHP7WL7TbJJ0RSrfKRDS6tBtLEJaSGNvYyUlJWH27Nk4evRotQ7trysvL4e5uTm2bt2KmTNnNlO2bcuNGzfQoUMHWFpa1htbXl6O1NRUiOdK1ZDZm0lXpIJhGL7TIKTVoZEdQjRASkoKZs2ahdTU1DoLHQDo1q0bBgwYwK04S6obOHBggwodoOrvc86cOZAqxTj8OA4fx77fwtk1DRU6hDQdFTuE8Cw5ORkBAQFITk5u0HopcrkchYWF3IqzpPm89dZbCAgIgFQpxlF5Avz3e/KdEgAqdAh5U1TsENKMGtuzKykpCb6+vtiyZQtEIhFkMhlkMhkeP37MxSxfvhznzp3D3bt3kZ2djSlTpkAgEMDHx0et16Zt9PX1MWPGDEiVYhx/9g3+nerFSx5U6BDy5qjYIa1KcnIy9PT0UFJSwm0LCAiAjY2NSoHAl8b27NqzZw/+/vtvLFiwAKamptxryZIlXMz9+/fh4+MDKysrTJ8+HW+//TZyc3PRo0cP9V6cFtPR0cHUqVMhVYpx8nkSFqV9qpbzUqFDSPOgCcqkVWFZFkKhEKNHj8b27dsRGhqKuLg45ObmomfPnnynR7TM33//DalUiq2T4pr92FToENJ8qNghrc7x48cxdepUrF27Flu2bMH333+PwYMH850W0XIKhQKZmZnYMCHmjY9FhQ4hzYtuY5FW54MPPsCgQYOwbt06HDlyhAodohEEAgHGjx8PqVIMycsUhJxb3KTjSF6mtGihs2PHDvTp0we6uroQiUS4ePFirbF79+7FqFGjYGBgAAMDA7i4uFSL9/f3B8MwKi93d/cWy5+QpqBih7Q6EokEN2/ehEKh4Dork/plZWVh8uTJMDMzA8MwSEtLqzM+MzOz2ocYwzCQyWQqcY358NQWAoEAo0aNglQpRroiFV/mrmjQfpKXKRAIBC2W18GDBxEUFITQ0FBcvnwZtra2cHNzw++//15jfGZmJnx8fHD27Fnk5OSgV69ecHV1xYMHD1Ti3N3dVXq3JScnt9g1ENIUVOyQVuXy5cuYPn06YmNjMX78eKxdu5bvlFqNxjYpfeXWrVsqH2RGRkbce4398NRGDMPA0dGRK3w25a+uMS7+16gWLXQAYOvWrZg9ezYCAgIwaNAgxMTEQF9fH3FxNc85OnDgAObPnw+hUAhra2vs27cPSqUSGRkZKnE6OjowMTHhXgYGBi16HYQ0GktIK1FUVMSamJiwERERLMuybG5uLsswDJufn89zZq0PAPbIkSN1xpw9e5YFwD569KjWGEdHR3bBggXc9wqFgjUzM+N+RqR2Dx48YM3MzFhDQ0PWycmJFQgE7JgxY9jt27ez9+/fb/bzPX/+nBUIBNV+7r6+vuyHH37YoGM8efKE1dXVZY8dO8Zt8/PzY7t27cr26NGDHTBgADt37lz24cOHzZk6IW+MRnZIq/Dnn3/C3d0dHh4e+PzzzwFU9YyaOHEiVq+u+Tdl0jyEQiFMTU0xYcIEXLhwgdv+4sUL5Ofnq6z43K5dO7i4uCAnJ4ePVFuN33//HS4uLpgwYQLKysqQnZ2Ne/fuYerUqfj2229hbm6OwsLCZj3nw4cPa7z1a2xsXO3WZG1WrlwJMzMzlZ+5u7s7EhMTkZGRgY0bN+LcuXOYOHEiFApFs+ZPyJtoz3cChDSEoaEhbt68WW37iRMneMhGO5iamiImJgYODg54/vw59u3bh7FjxyIvLw/vvvtunR+eNf2sSJWXL1/C1dUVQqEQsbGxaNeu6nfOnj17YuHChVi4cCHKysrQvXt3njNVtWHDBq65qq6uLrfd29ub+/PQoUNhY2ODfv36ITMzE+PHj+cjVUKqoWKHEFIjKysrWFlZcd87OzujsLAQX331Ffbv389jZq1bhw4dEBkZibFjx9Y6R6clFozs3r07BAIBSktLVbaXlpbCxMSkzn0jIyOxYcMGfPfdd7Cxsakztm/fvujevTvu3LlDxQ7RGHQbixDSYI6OjlwD0jf58NR2Li4uaN9evb9rduzYEfb29iqTi19NNnZycqp1v02bNiE8PBwSiQQODg71nuf+/fv4448/qHcb0ShU7BBCGqygoID7EGvqhyfhT1BQEPbu3YuEhATcuHED8+bNQ0VFBQICAgAAvr6+WLVqFRe/ceNGrF27FnFxcejTpw/Xu00ulwOo6gW3YsUK5Obm4u7du8jIyICHhwcsLS3h5ubGyzUSUhO6jUWIlpDL5dyoDPBPk1JDQ0P07t0bq1atwoMHD5CYmAgAiIqKgoWFBQYPHozKykrs27cPZ86cQXp6OneMoKAg+Pn5wcHBAY6OjoiKilL58CSaxcvLC2VlZQgJCYFMJoNQKIREIuHmXRUXF3NziABg165dePHiBaZOnapynNDQUISFhUEgEOCnn35CQkICysvLYWZmBldXV4SHh0NHR0et10ZIXahdBCFaIjMzE+PGjau23c/PD/Hx8fD398fdu3eRmZkJoOr2xZ49e/DgwQPo6+vDxsYGISEh1Y4RHR2NzZs3cx+e27Ztg0gkUsclEUJIg1CxQwghhJA2jebsEEIIIaRNo2KHEEIIIW0aFTuEEN41tklpTZ22GYbB4MGDuZiwsLBq71tbW7fwlRBCNBEVO4QQ3jW2SenXX3+t0pz0119/haGhIaZNm6YSN3jwYJW48+fPt0T6hBANR4+eE0J4N3HiREycOLHB8V27dkXXrl2579PS0vDo0aNqj7y3b9+eFjgkhNDIDiGk9YuNjYWLiwvMzc1Vtt++fRtmZmbo27cvZsyYgeLiYp4yJITwiYodQkir9ttvv+HUqVOYNWuWynaRSIT4+HhIJBLs2rULRUVFGDVqFJ4+fcpTpoQQvtBtLEJIq5aQkIBu3brB09NTZfvrt8VsbGwgEolgbm6O1NRUzJw5U81ZEkL4RCM7hJBWi2VZxMXF4dNPP0XHjh3rjO3WrRsGDBig0jKDEKIdqNghhLRa586dw507dxo0UiOXy1FYWEjduAnRQlTsEEJ4J5fLUVBQgIKCAgD/NCl9NaF41apV8PX1rbZfbGwsRCIRhgwZUu295cuX49y5c7h79y6ys7MxZcoUCAQC+Pj4tOi1EEI0DxU7hBDeXbp0CXZ2drCzswNQ1U3dzs4OISEhAICSkpJqT1I9fvwYhw4dqnVU5/79+/Dx8YGVlRWmT5+Ot99+G7m5uejRo0fLXkwz2bFjB/r06QNdXV2IRCJcvHixznixWAxra2vo6upi6NChOHnypMr7LMsiJCQEpqam0NPTg4uLC27fvt2Sl0CIxqBGoIQQomEOHjwIX19fxMTEQCQSISoqCmKxGLdu3YKRkVG1+OzsbIwePRoRERH44IMPkJSUhI0bN+Ly5cvcqNfGjRsRERGBhIQEWFhYYO3atbh69SquX78OXV1ddV8iIWpFxQ4hhGgYkUiEYcOGITo6GgCgVCrRq1cvLFq0CJ9//nm1eC8vL1RUVOD48ePctuHDh0MoFCImJgYsy8LMzAzLli3D8uXLAVSNjBkbGyM+Ph7e3t7quTBCeEK3sQghRIO8ePEC+fn5cHFx4ba1a9cOLi4uyMnJqXGfnJwclXgAcHNz4+KLioogk8lUYrp27QqRSFTrMQlpS6jYIYSQOkRERGDYsGF46623YGRkBE9PT9y6dave/Zo6h+bhw4dQKBQwNjZWiTc2NoZMJqvxXDKZrM74V18bc0xC2hIqdgghpA7nzp3DggULkJubC6lUipcvX8LV1RUVFRW17pOdnQ0fHx/MnDkTV65cgaenJzw9PXHt2jUuZtOmTdi2bRtiYmKQl5eHTp06wc3NDZWVleq4LEK0Cq2gTAghdZBIJCrfx8fHw8jICPn5+Rg9enSN+3z99ddwd3fHihUrAADh4eGQSqWIjo7m5tBERUVhzZo18PDwAAAkJibC2NgY2dnZEAgEKC0tVTlmaWlprU1NTUxM6ox/9bW0tFRlnaHS0lIIhcIG/k0Q0nrRyA4hhDTC48ePAQCGhoa1xrzJHJoffvgB9vb2yMjI4N5TKpXIyMiAk5NTjedzcnJSiQcAqVTKxVtYWMDExEQl5smTJ8jLy6v1mIS0JTSyQwghDaRUKhEYGIgRI0bUuJDhK286hyYoKAh+fn5wcHCAo6MjoqKiUFFRgYCAAACAr68vevbsiYiICADAkiVLMGbMGGzZsgWTJk1CSkoKLl26hD179gAAGIZBYGAg1q9fj/79+3OPnpuZmVXrKUZIW0TFDiGENNCCBQtw7do1nD9/vkXP4+XlhbKyMoSEhEAmk0EoFEIikXDFUXFxMdq1+2dg3tnZGUlJSVizZg1Wr16N/v37Iy0tTaUgCw4ORkVFBebMmYPy8nKMHDkSEomE1tghWoHW2SGEkAZYuHAhjh49iqysLFhYWNQZ27t3bwQFBSEwMJDbFhoairS0NPz444/45Zdf0K9fP1y5ckVlzsyYMWMgFArx9ddft9BVEKKdaM4OIYTUgWVZLFy4EEeOHMGZM2fqLXQAmkNDiKah21iEEFKHBQsWICkpCUePHsVbb73Fzbfp2rUr9PT0ANAcGkI0Hd3GIoSQOjAMU+P2//znP/D39wcAjB07Fn369EF8fDz3vlgsxpo1a3D37l30798fmzZtwvvvv8+9z7IsQkNDsWfPHm4Ozc6dOzFgwICWvBxCtBIVO4QQQghp02jODiGEEELaNCp2CCGEENKmUbFDCCGEkDaNih1CCCGEtGlU7BBCCCGkTaNihxBCCCFtGhU7hBBCCGnTqNghhBBCSJtGxQ4hhBBC2jQqdgghhBDSplGxQwghhJA2jYodQgghhLRp/w+Oi9RreeJKjwAAAABJRU5ErkJggg==",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# NBVAL_IGNORE_OUTPUT\n",
"\n",
"# Create field and assign initial conditions\n",
"u = np.empty((nx, ny))\n",
"init_hat(field=u, dx=dx, dy=dy, value=2.)\n",
"\n",
"# Plot initial condition\n",
"plot_field(u)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Now we can repeat the _pure NumPy_ solve from the original tutorial, where we use NumPy array operations to speed up the computation. Note that we skip the derivation of the stencil used to implement our convection equation, as we are going to walk though this process using the Devito API later in this tutorial."
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"# Repeat initialisation, so we can re-run the cell\n",
"init_hat(field=u, dx=dx, dy=dy, value=2.)\n",
"\n",
"for _ in range(nt + 1):\n",
" # Copy previous result into a new buffer\n",
" un = u.copy()\n",
"\n",
" # Update the new result with a 3-point stencil\n",
" u[1:, 1:] = (un[1:, 1:] - (c * dt / dy * (un[1:, 1:] - un[1:, :-1])) -\n",
" (c * dt / dx * (un[1:, 1:] - un[:-1, 1:])))\n",
"\n",
" # Apply boundary conditions.\n",
" u[0, :] = 1. # left\n",
" u[-1, :] = 1. # right\n",
" u[:, 0] = 1. # bottom\n",
" u[:, -1] = 1. # top\n",
" # Note that in the above expressions the NumPy index -1 corresponds to the\n",
" # final point of the array along the indexed dimension,\n",
" # i.e. here u[-1, :] is equivalent to u[80, :].\n"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# NBVAL_IGNORE_OUTPUT\n",
"\n",
"# A small sanity check for auto-testing\n",
"assert (u[45:55, 45:55] > 1.8).all()\n",
"u_ref = u.copy()\n",
"\n",
"plot_field(u)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Hooray, the wave moved! Now, this little example is already very concise from a notational point of view and it teaches us quite a few key points about how to perform finite difference stencil computation via NumPy:\n",
"* Due to the backward differencing scheme in space (more later) we use only three stencil point in this example: $u^{n}_{i, j}$, $u^{n}_{i-1, j}$ and $u^{n}_{i, j-1}$. These can be identified in the code through the array indices and correspond to `un[1:, 1:]`, `un[:-1, 1:]` and `un[1:, :-1]` respectively. \n",
"* Two buffers for array data are used throughout: `un[...]` is read from, while `u[...]` is updated, where the line `un = u.copy()` performs a deep copy of the field to switch buffers between timesteps. Note that in some other finite difference tutorials the cost of this copy operation is sometimes amortised by using two pre-allocated buffers and switching the indices of them explicitly. \n",
"* The final four lines within the loop code show us how to implement simple Dirichlet boundary condition by simply setting a value on the outermost rows and columns of our cartesian grid.\n",
"\n",
"You may have noticed that the hat has not only moved to a different location, but has also changed its shape into a smooth bump. This is a little surprising, as the correct solution of the convection equation would be movement without shape change. The smooth shape is caused by numerical diffusion, a well-known limitation of low-order finite difference schemes. We will discuss this issue and some solutions later in this tutorial."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Devito implementation\n",
"Now we want to re-create the above example via a Devito operator. To do this, we can start by defining our computational grid and creating a function `u` as a symbolic `devito.TimeFunction`. The core thing to note here is that this is one of Devito's symbolic functions, which have a dual role in the creation of finite difference solvers:\n",
"* They behave symbolically like `sympy.Function` objects, so that we can construct derivatives and use them in symbolic expressions, thus inheriting all the power of automated symbolic manipulation that SymPy provides.\n",
"* They act as containers for user data by providing a `.data` property that wraps automatically allocated memory space in a neat NumPy array.\n",
"\n",
"The particular `TimeFunction` type that we will declare our variable $u$ as in this case is aware of the fact that we will want to implement a timestepping algorithm with it. So the object `u` will declare two buffers of shape `(nx, ny)` for us, as defined by the `Grid` object, and present them as `u.data[0]` and `u.data[1]`. Let's fill the initial buffer with some data and look at it:"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
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KUN6IVG3iOA5FRUWoqKhARUUFBEFAOByWxM/Q0BDa29thMBgSxI9er2fq9yaIZCGxQzBHLBZDb28vxsbGsHfvXtTV1aWcVJlPnh1x82BpU2fJFtZg8bPJVIBxHAedTofKykpUVlYmiB+3242BgQE4HA4YjcYE8VNcXEzih8gLSOwQTOH1enHu3DlEIhGcPHkSZrM5rXWU8sAoIaIEQYAgCPD7/YhGozQbKQ9gbYOX29u0lvgJhUKS+Onr60NbWxtMJlOC+NHpdMx9NgQBkNghGEEQBExNTaGjowNVVVVoamrKaNPPF89OJBJBZ2cnAMDpdOLFF1+E2WyG3W5HSUkJNYljEEEQmNvQlQ6tcRyH4uJiVFVVoaqqCoIgIBgMSmGv3t5etLa2SueuKH6KioqY+6yIrQmJHSLniBv+7OwsDhw4gKqqqoxvkPlQjbW0tASHwwGz2QyO41BTU4Pa2lqpYmZmZgbRaBRWqxUlJSWw2+3Se5WEOihvDIufTbbziDiOg16vh16vR3V1tSR+XC4XlpeX0d3djWAwKImf8vJylJWVkfghcgaJHSKnuN1unDt3DlqtFi0tLTAYDLKsq2TVVKbrCoKA8fFxDA4OYteuXdi+fTueeeYZCIIgbSBirxS/3w+XywW3242JiQkAgM1mkzw/VC2TG1j7zHOdNC2Kn9raWtTW1kIQBAQCAQwNDWF+fh5zc3MIh8OwWCwoLS2VxltoNBrmPkuiMCGxQ+QEnucxODiIgYEBbNu2Dbt27ZJ1mjOrYSzRi7WysiKV0m90LKPRCKPRiPr6egiCAI/HA5fLhcXFRQwNDUGj0UgjBOx2O4qLi9O2jWVY2hBZ9OzwPM/UZ8RxHAwGA8xmM7RaLZqamuD3++F2u7G0tISpqSlEIhFYrVbJ81NaWkrih1AMEjtE1gkGg3A4HHA6nTCbzdizZ4/sNzgWw1jLy8twOBwwmUwXldInYy/HcbBYLLBYLNi+fXvCYMiZmRn09/ejuLhYEj8lJSUplevHH4fYGNY+IxbziIC/iLB44V5XVwee5y8SP2LItrS0FGVlZZL4IQg5oDOJyBqCIGBxcRFtbW0wm81obGyEy+VS5CatpGcnVRElDi4dGBjAzp07sWPHjjV/51TtjR8M2djYiGg0KlXLjI2Nobu7GyaTSXqPzWZLevNgyXvBki0Am8KCRZuAC3atlWCvUqlgMplgMplQX18Pnufh8/kk8TM+Po5YLAar1Sp1gbbb7SR+iLShM4fICjzPo6+vD8PDw9izZw8aGhowOzurWCM9Vjw7kUgEXV1dWFpa2jRslemmHj8eAADC4bCU7DwwMIBQKASLxSKJH6r0Sg/WxBfArthJNrymUqlgNpthNpvR0NAAnufh9XrhdrvhcrkwOjoKQRBgs9kkz4/dbpc19E0UNiR2CMXx+Xw4d+4cQqEQLr/8cthsNgDKdiNWKkE5FY+RGLYyGo04derUhiElJTaqoqIiqU8KcGH0xupKL5vNJokfsdKLxU2TNVj7jFgVO4IgpCVIVCqVFLLdtm2bJH5cLhfOnz+P4eFhABcGn4rip6SkhMQPsS4kdgjFEAQBMzMzaG9vR3l5OY4cOQKtViv9v0qlUkzs5DJBOdmw1Vo/pySrK73EsIEY9uI4DiUlJRAEATzPM7uB5hry7CSPXInT8eJHXFfMVxOT9cXzN178kOeSECGxQyhCNBpFV1cXpqensW/fPtTU1Fx001NKkIhr5yKMFYlE0N3dDbfbjaNHj8Jutye9bjZnY3Ecd1HOhMfjgdvtxuzsLAKBAF5++WWpxL2kpKRgK73SgTVhwarYWS9nJ1NUKhVsNpvkJRaT9ZeWljA/P4+BgQGo1WrYbDapwSGFbbc2JHYI2VleXsa5c+fAcRyam5thNBrXfJ+Snp1c5OwsLy+jvb0der0eLS0t0Ol0Ka2dS4+BSqWC1WqVNoTl5WWpweH09DT6+vqg1+sTKr3ivXRbCfLsJA/P81kRGPHJ+sAF8bO8vIylpSXMzs6iv79feo8ofiwWC4mfLQSJHUI2eJ7H+Pg4uru7UV9fj927d28YQ8/HnJ211hUEAZOTk+jv70djYyMaGxuZ3HhSxW63S56paDQqhbxGR0fR1dUlzUUSk52VrJRh6fNkUVgo5UHJlFx9Vmq1Wjp/xbCsONpienoavb29UKvVUol7eXk5zGYzk58hIQ8kdghZCIfDUu+cQ4cOoby8fNObXCHk7IjhulTDVputyxoajQbl5eUoLy8HcOHvLXZ27u/vT6j0stvtsj41s/i5sCh2WLMJyJ5nZyM4joNarZY6NwuCgKGhIfh8PhQVFWFychI9PT0oKiqC3W5PED8sfqZEepDYITLm/PnzaG1thcFgQEtLS9K5HUrm7CgZxhLXXVlZgcPhSDtstXpdVjb1ZG7wRUVF0lBI4EKllyh+pqenwfO81B23pKQEJpOpYDYOVv5O8bAsdlizS6w4NBgM2LVrFwRBQCwWS+jx09XVheLiYmmoaVlZWUGdw1sREjtE2vA8j4GBgYQZT6k8xeWrZ4fneUxMTKC/vx87duzAzp07ZbkJsriJJsvquUhipZfYI0WslBE9P3q9Pq83DtZsZ1XssBpei/c4cRyX4LkUBAGRSATLy8tS2LajowN6vT7B82M0Gpn8zIm1IbFDpIXf70drayv8fj+OHz++YbO89VA6Z0eJtQVBQDQaxdDQEI4cOYLS0lLZj8ECmQivjSq9FhYWMDg4iKKiogTxk4lXLNuwKCxYtAlg07MDXLBrvRwzjuNQVFR0kfgRu5MPDw+jo6MDBoNB8vyUl5fnvYAvdEjsECkhCALm5ubgcDhgt9vR0tKSdlWO0mEsudf2eDzo6OiAIAg4deqUrBt0voWxUiG+0kuc6SU+NU9NTaG3txcGgyFvKr1Y+TvFw6qoyAfPzmaI4qeiogIVFRUQBAHhcFgSP4ODg3A4HDAYDFKPn/LychQXFzP5N9mqkNghkiYWi6G7uxsTExNoampCbW1tRjcyUewo8VQqp5ASBAFTU1Po6+tDTU0NZmZmZPdEsCR2lCa+Umbnzp0JT81ipZfZbJaED4ufC2ubGHl2UiOTxGmO46DT6aTu5IIgIBQKSedwf38/2trapGpFUfzodDomP4utAokdIik8Hg/Onj0LQRDQ3NwMk8mU8ZrizYbnednbvMsVxopGo+ju7obT6cSRI0eg0+kwMzMjg4UXw9Kmnk1btFptQqVXKBSSytz7+voQCoWwsrICQRBQUlKS8/4oLP2dRFgVO4Xg2dkMjuNQXFwsJeyL4kc8h3t7e9Ha2gqz2ZyQ8EziJ7uQ2CE2RBx90NnZidraWuzdu1c2YaKk2JHDs+PxeOBwOKDT6aQqM5/Pl7MxFFsFnU6XsHG0t7dDrVbD5/NhamoKPM8nzPTKRZUMa5sUq2KnED07myGKn+rqalRXV0MQBASDQanaq7u7G8FgEGazWQp7lZWVoaioiMnPqlAgsUOsSyQSwdmzZ+F0OnHppZeioqJC1otRXEvJqql0EARBajy2fft27Nq1S7J1K4gSlm64YqWM2WzGtm3bIAiCNA1bDHupVKqEfB+lE0VZFBYs2gRsDc/OZnAcd9FcOnEo79LSEjo7OxEOhy8SP1qtlsm/ab5CYodYE5fLhXPnzkEQBFitVmlytpzEe3aUWDsdURKNRtHT04Pz58/j8OHDKCsrS/h/UezIvbmwJqJYsiUejuNgNpthNpvR0NAgVXq5XC5pJpJY6SX2+JE7v4rFz4ZVscNCU8G1yKVdYo8fg8EgtWrw+/2SgB8fH4cgCLBYLFKZe2lpKTQaDZN/43yBxA6RAM/zGBoakkYfaLVaLCwsKHIssbmX0s3/kkUMWxUVFa3bHDHeG1XIYidfiK/02rFjB2KxmJQoKnbGFUuES0pKYLPZZKn0Ym3TYVXssGoXSyKM4zgYjUYYjUZUVVXhzJkzOHr0qDTYdGpqCpFIBFarVfL6iOKHSB76tAiJQCCAtrY2eDweHDt2DCUlJZiZmVF0GrdSjQVT9eyIJdDbtm3Drl271r0Rit+XW5hke+r5RrC4OSVL/FgAAFKll8vlwvDwMPx+v1TpZbfbYbVaU84XY1GUkqhIDVbtisViAACz2Qyr1Sr1qfL7/XC5XFKH51gsliB+7HY7iZ9NoE+HgCAIWFhYQFtbG6xWK1paWlBUVARA2S7HQHYHdq6FGLZaXFzEZZddJlUEbbQuoIzYYQnWNvR0P5+1Kr3EsRa9vb0Ih8OwWq2S+ElmGCSLwoJFmwB27WJZ7HAcl2CbSqWSmnSKoVufzweXyyV1KBcEATabTcr5KSkpIfGzCvo0tjixWAy9vb0YGxvD3r17UVdXd9GFlo+enWQ8JV6vFw6HA1qtFqdOnUpqppeSSdWsCYxCRKfTJVTJiImiLpfrokovu92eNyMBWEwEFnPbWLMLYFfsJFOZqlKppLy1bdu2ged5KWnf6XRiZGREEj+i56ekpET2itd8g8TOFsbr9eLcuXOIRCI4efIkzGbzRe/JV7GzWRhrenoaPT09m4atVrMVPDss2aIkayWKJlPpxaK3gkWbxOuaNbsAtsVOqnapVCpYLBZYLBZJ/Ij5PouLixgaGgLHcReJHxZ/fyUhsbMFETsCd3R0oKqqCk1NTeu6PLMRxsqmZycWi6GnpwcLCwtJha3WWhdQRuyw5NnZirasVem1srICt9uNubk5DAwMQKfTQafTIRqNIhQKMTPTi0WxI/7dWNxUWRU7sVgsYw+MSqWCzWaDzWaT1hTFj1ixKIr40tJSVFRUwGq1Mvl5yAmJnS1GJBJBZ2cnZmdnceDAAVRVVW14k8xnzw6QuAmIYSuNRpN02Go1SoaxCLaI3zTiK70mJiYQDAbx8ssvw2g0Jnh+cpUnwaLYYdWzIwgC02JHbrvUarV0forHWF5extLSkiTixfeIoy1y3aVcCUjsbCHcbjfOnTsHrVaLlpYWGAyGTX8mG2JHqQRl4C+bwMzMDLq7u9HQ0IDdu3dnNBcHkL83EEueHdY2J1YQK72CwSBUKhX2798vhbzESi+LxSJtLOlUeqULi2KHVc+OeO2yZhegTDf51cTPpgMgifilpSWpmapWq4XdbkdpaanU70cuu+6//3787Gc/Q19fH/R6PVpaWvCVr3wFe/fu3fDnnnjiCXz+85/H2NgYdu/eja985St461vfmvRxSexsAXiex8jISEJpdbInrlqtzmvPTiQSweDgIObn53Ho0CFUVFRkvLYSwoTVjYq4GFFYaLVaaRI2AGkkgFjpFYlEYLFYpB4/yVR6ZWITa5u3OCqCtXObZbGjhGdnM+LbNQiCIHl+xF5V3/jGN/Dqq6/i6NGjsNvtuPvuu9HU1JT28V544QXceuutOH78OKLRKO666y685S1vQU9PD4xG45o/88orr+Dd73437r//frz97W/Ho48+iuuvvx6tra04ePBgUsclsVPgBINBOBwOLC0t4ciRIygtLU3p5pPPOTsA8Kc//UnyZOn1elnWVsIbxZJnh0VY2jDX+zutnocU3xV3YmJCGmQq/pOz0otVzw5rNgFsi51seHY2QhzPEi9+vv3tb+MPf/gDnn76aTz66KN44oknUFdXh6uuugpXXXUVrrzyStTX1yd9jKeffjrh9enTp1FRUYFz587hDW94w5o/89BDD+Gv/uqv8OlPfxoA8IUvfAHPPPMMvvWtb+E73/lOUsclsVOgCIKA8+fPS9N2W1pa0kqmFDd2pW5cSomp+fl5AIDdbse+fftkvbFtBc8OsTGb/b3iu+LW1dVJlV4ulwtOpxPDw8NSnoTo+clEjLM4cJPVvBhWc4mA3Hh2NoLjOFgsFlx//fU4cOAAHn30USwsLOBPf/oTnnvuOXzrW9/C+973PszMzKTtNV9eXgYAKay2Fq+++iruuOOOhO9dc801eOqpp5I+DomdAoTnefT19WF4eBh79uxBQ0ND2heQkpPJxfXlFA5i36C5uTkAwM6dO2W/eSgldljx7LC4CbBEOn+n+EovsTxYDBXMzs6iv78fOp0uQfyIjT2TtYm1vxuLNgF/EWGs2sZqPxyv14vi4mJYrVZcc801uOaaa6Tvm0ymtNbkeR633347Tp06tWE4am5u7qL5jJWVldJ9PhlI7BQYPp8P586dQygUwuWXXy6VH6ZLNsSOXJ4dn88Hh8MBlUqFU6dO4YUXXlAsRFbonh1WhBfAli0imf694vv3ABc6eS8vL8PlcmF8fBzd3d1SpZfdbofNZtuw0otFYcGyZ4dFuwD2PDvxrKysoLi4+KLzLF2hAwC33norurq68NJLL2Vq3qaQ2CkQBEHAzMwM2tvbUV5ejiNHjsgy8FC88GKxmCzrrUaunJ3Z2Vl0dXWhvr4ee/bsgUqlUrTSizw7WxclhEV8ngQAhMNhaaDp4OAggsGgNNNrrUovVsUOazYBbIsd1j07cuU9AsBtt92GX/3qVzhz5gzq6uo2fG9VVZWUmiAyPz+PqqqqpI9HYqcAiEaj6OrqwvT0NPbt24eamhrZbjJKlVqLZOrZicVi6Ovrw9zcHC699NIEV6eSyc+F7tkh1icborSoqGjNSi+Xy4Wenh5Eo9GEmV4sCgsWK8QAtsWOUg+VcuDxeKDX6zM+zwRBwMc+9jE8+eSTeP7557Fjx45Nf6a5uRnPPvssbr/9dul7zzzzDJqbm5M+LomdPGd5eRl/+tOfoFar0dzcvG7pXrqIQ+mUFDvpbh7xYavm5uaL+gYp6dlRos8OS7DiZWKVbP+9Nqv0isViCAQC4DhO9kqvdGFRgAFsix2WPTs+ny+tRqyrufXWW/Hoo4/i5z//Ocxms5R3Y7VaJc/RTTfdhNraWtx///0AgI9//OO44oor8LWvfQ1ve9vb8Nhjj+Hs2bP47ne/m/RxSezkKTzPS7F9nudx8uRJ2YWOiNJiJ5215+bm0NXVhdraWuzdu3fNm1euJ6qnCgmM9WFp08z132mtSq/W1lZotVqcP38ew8PD0Gg0F830yjbk2UkdlnN2PB5PUo1oN+Pb3/42AODKK69M+P4PfvADvPe97wUATExMJHwOLS0tePTRR/G5z30Od911F3bv3o2nnnoq6R47AImdvCQcDsPhcMDpdOLQoUPo7OxU9HhKip1UvSRipdnMzAwuueSSizL0M1k7WZTqs8MKLNnCIqzlx3AcB7VajbKyMtTU1KxZ6VVcXJwgflKp9EoX8uykDuueHTnETjL3zueff/6i773zne/EO9/5zrSPS2InzxB75xgMBrS0tKC4uDhvuxynurbf74fD4QCApMZdZDNBWeu+RPo6UpK6+GQpQRnIvfeCSI14AbZWpZeY7Cx6g00mk/SezSq9MrGJRVHBsthh2bPj9XoVix5kAxI7eQLP8xgYGMDg4CB27tyJHTt2SBdFvg7rFNeOxWKbvi+ZsNVqspGgHC9yRFZ/Lxnxw+oNjgVYE16seXaAjW3SaDQoKytDWVkZgAueYTHfJ77SS+zvI9cEbJY9O6x6T1i2ze/3y+LZyRUkdvIAv9+P1tZW+P1+HD9+XHpiE0lWMKRLLj078WGrgwcPplRqqLRnZy2hsxbJiB+WNgWWbGEV1j6jVARYUVERKisrpRBwIBCQxM/MzIxU6RU/0yud35c8O6nDsmfH5/ORZ4dQBkEQMDc3B4fDAbvdjpaWljXLEpUOYym5/kbel1TDVqmsnQkcx6Fe9+a0f34t8eP3+xGLxTA1NQW73S5LiWcmsOZNYYl88+xshl6vh16vR01NjVTp5XK5pLAXANhsNkn8GAyGpI7Fqqhg1S7ggthh1bPj8/kk72A+QmKHUWKxGLq7uzExMYGmpibU1taue4HmexhrrY11fn4enZ2dqKmpQVNTU1o3J6U8O6/f+0FZ19O6L0HzTgA7gRf7/38YHBzMaHQAsfWQS4DFV3rV19eD53lpptfi4iKGhoYSKr3sdvu65cgsikKAbbHDchgrEAiQZ4eQF4/Hg7Nnz0IQBDQ3N2/ajlutVhdMGIvnefT392N6ejrlsNVq5PbsJBu2yoTVQuq57m+ju7tb6p5rt9sv6p4rNyxuUCzZxOImruSgXovFAovFgu3btyMWi2FlZQUulwszMzMJlV7iWAtRmLMqKli1C2DbNr/fn9FoiFxDYochBEHAxMQEOjs7pUTcZDa1fPfsiGv7/X60t7dLIi/Tpwg5K5yyIXTW4qoDH014/XvHNxGJRKScCrvdDpPJxNzmW8hsJbGzGnFS++pKL5fLhdHRUfh8PqnSKxQKMfc5AWwLCpZzdvx+P8xmc67NSBsSO4wQiUTQ3t6OhYUFXHrppaioqEj6RpHPCcqi90UMW1VXV6OpqUkWz4VcYaxcCZ21eMtl/yR9/crQf2JsbEwqNRbFjxxdTilnZ2NY28RzJcDWq/RyuVxwuVyIRqMIBoMJM71yvZnzPK9IqX2m8DwPQRCYDmOR2CEywuVy4dy5c9DpdGhpaUm522k+99kBLiS+dXZ24sCBA6iurpZt3UzDWCyJnLVo2XVLwusXev8P+vv7odfrpVyfkpKSlG/srG3krMGiEGSlzDu+0kuj0SASicBms8HtdmN6ehqxWAw2m006N9Ot9MoEVj074r2KRbEjCAICgQCFsYj04HkeQ0ND6O/vR2NjIxobG9NOxFXas6PE+oFAACMjI4hEIjh16pTsyW+ZeHZYFzprccW+Dye8frbzYQQCAVgsFsnzY7FYmLzRbwSL4oIFYREPq6G1oqIi1NTUSJVePp9PKnMfGxuTZnmJ/5Kt9MoE1sUOi7YB5Nkh0iQQCKCtrQ0ejwfHjh1DSUlJ2hd5Pnp2FhYW0NnZKbm1lcjyT9ezk49CZy3edMmtCa+fbn0QPM8nVNKst7mwKDBYgVVhwZpNqyuLOI6DyWSCyWSSKr08Hg/cbrdU6aXVahPEjxwh2bXsYlFQxGIxafAyiwSDQVgsllybkTYkdrKMIAhYWFhAW1sbrFYrWlpaMi4rVqlUiEQiMlm49vpyiR2xE/Tk5CQOHDgArVaLvr4+WdZeTaoJyoUictbjr47cLn390sD3MDw8LG0uYr4PlbhvDotCkEWxs1lTQZVKBavVCqvVKlV6iTO9pqen0dvbC4PBkCB+1uozliosix0W7QIufGaBQABWqzXXpqQNiZ0sEovF0Nvbi7GxMezZswf19fWynNxqtRrBYFAGC9dGpVIhGo1mvE4gEIDD4QDP81JJvdPpVGzzSEWkFbrQWc3r9nwg4fVz3d9GT08PTCYTDAYDYrEY0w3Ock2+CYtckGoekVqtlkQ3cKFoQ5zpNTo6iq6uLphMJikfzWazpXV+sip2WO+xw/M8eXaIzfF6vTh37hwikQhOnjwpa+wzH0rPxbBVZWUl9u3bJ13UuWhYuJqtJnTWYnWJ+y9fewBnzpyRkkntdntOkklFWBIX5NlJjkwFmFarRXl5OcrLywEAoVBIyvfp7+9HKBSCxWKRxE+y+Wisih2WPTsejwfAhU7a+QqJHYURBAFTU1Po6OhAVVUVmpqaZC97ZLn0nOd5DA4OYmJiAgcOHEBNTY1sa29GMjk7JHTW5roTn5a+fnX4BxgfHwfHcdLGIo60yAasiQtWhQVrNsktKnQ6HaqqqlBVVQVBEBAMBqWxFlNTU+B5PmGm13r9p1gVOyx7dlZWVqScq3yFxI6CRCIRdHR0YHp6Gvv370ddXZ0iNyRWE5QDgQDa29sRjUbX7QSt1Pwqce31NkoSOcnTvPN9Ca/P9H0XAwMDKC4uTihxlyOfIl9gTViwKHaUtInjOOj1etTW1qK2tlaq9BLFz+joKFQqVYJnUpw3x6rYYdmz4/V6UVxczKx9yUBiRyHcbjdaW1uhVqshCALKysoUu/BZDGMtLi6io6PjorDVWmsrmbOz1tokdDLjDU0fSnj9h67/WHOkRT7fGDeCRU8Ti2Inm6IivtKroaFBqvRyuVxYWFjA4OAgioqKUFJSgnA4rKgnPF1Y9+wUFxczd46lAokdmeF5HiMjI+jr60NDQwN27dqFZ599VtGLS+nZWKl4juLDVvv370dtbe2G71c6jLX6cyGhIz9vPPiPCa9/1/aQ1DxO9PwYjca8vlGuhsXfhTWbctnoML7Sa8eOHVKll9jVuaurS5FKr0xg2bPj8XiyFrZWChI7MhIMBuFwOLC0tITDhw+jtLQUHMcxG2aSe/1gMIj29nZEIpGkBpiKayv1ZBrv2SGRkz2uOfxx6euXB7+P4eFhaDSahHwfnU6XQwszgzUviniOs2QTwFaFWHyl1+zsLA4ePIhoNAq3242RkRFp7pMofNKt9MoElj07Xq9XCgPmKyR2ZEAQBJw/fx6tra0wm81oaWlJuJlnYyp5rhOUxbBVRUUF9u3bl3QStnjxKHGhi/F5Ejq549Tu9ye8fr7nO+jt7YXRaEzI92H1Jp8PsCp2WBlhsRqe56WQ1upKL5fLhb6+PoTDYVitVun8zEbncZY9O6LYyWdI7GQIz/Po6+vD8PAwdu/ejW3btl10wrIUZkqHjcSOOPJifHw8qbDVWmsDyuRBcByHo/V/L/u6RPpcuf8j0tfnJn+MgYEBhEIhaWMRR1qs3iRZ2jTJs5McLHl24lkrl2h1pVcgEJDK3MVKr/iZXutVemVqF6ui3+v1wmAw5NqMjCCxkwE+nw+tra0IBoO4/PLL1+1BwEqYSe71xbBVOBxOu3eQeNOR236t+xI02WVdkpCZpqYmABeq9sQp2ZOTkwCQMNJCyXM7HVhMUAbYEzssenbEyeIbiTCO42AwGGAwGKRKL6/XK4kfsdIrPt9HjhAPy54dn89HYmcrIggCZmZm0N7ejvLychw+fHjD5LZCDGOdP38eHR0dKCsrw9GjR9PuHaSE2KGwFfvsevzDaP9/Fe2rS4hXV9FwHIfZ2Vmo1WomEkkBtoSFeO2wZBPApmcnnWGbHMfBbDbDbDZLlV4rKytwu92Yn5/HwMAAioqKEsKy6eSk8Twvew82uSCxswURM/mnp6exb98+1NTUbHqTyVYYSyn3erzYEQQBQ0NDGBsbw759+1BXV5fR2vE5O3JAQod9dj3+4XX/j+M4WCwWWCwWaV7S2bNnoVKppJEBZrM5YWRAtjdU8uwkB4v9bOSYLC7277HZbFKllzjWYnJyEj09PTAYDAnnaDICPRaLMTubzufzKTKsOZuQ2EmB5eVlnDt3DhzHobm5Oek/fjbEDqBcLoEodoLBIDo6OhAKhWQdeSFHGI5EDvtsJHLWQ61WQ6vVorKyEtXV1QmJpD09PYhGowkl7krkUqyGcnaSg7XPCfjLZyWnCFOr1SgtLUVpaSmAC81kxZDX8PCwVOklnqNWq3XN3ByWc3Z8Pl9ed08GSOwkBc/zGB8fR3d3N+rr67F79+6UTsps5NQAysV8xUGgr7zyCsrKynDkyBFZ3a2ZNhYkocM+6QidtVidSOr3+6V8HzGXIr7Evbi4WJbjroalTZzFcBHApmcnFouB4zhF/35arRYVFRWoqKgAcKHSS+zs3Nvbm1DpJc6cE1MRWPu8RPx+P6qqqnJtRkaQ2NmEcDgMh8MBp9OJQ4cOoby8POULJRs5O8CFC1nufAZBEDAxMQFBELBnzx7U1tYq0g8nXTFIQod95BI6q+E4DkajEUajEfX19VIuhcvlwszMDPr7+6HX66X+KjabTRaRzmIYiyXxJcKiXbkQYDqdDtXV1aiurpYqvUTxMzk5CUEQYLPZ4PP5YLFYmPzc/H4/hbEKGbF3jsFgQEtLS9pPidkQO0rMmAqFQmhvb0cgEACApPKT0iFd20nosI9cQieZ8y4+l6KxsRGRSARLS0twuVwYHBxEMBiUpmTHP1ErZU+2YHFzFASBSc9Orm2Kr/Sqq6tLqPRaWlrC2NgYpqamEqoRWehv4/f7KYxViPA8j4GBAQwODmLnzp3YsWNHRheI0mIHkD9U5nQ60d7ejtLSUhw8eBBnzpxR7EaRqu0kcthHKW9OKmi1WpSXl0uN48TeKS6XS+qdIm4oJSUlMBgMSYkG8uxsDqt5RLkWO6uJr/Sam5vD9u3bUVRUBJfLhbm5OQwMDECn0yWUueei+3ggECCxU2j4/X60trbC7/fj+PHjKCkpyXhNlUqFSCQig3UbH0MOQSUIAoaHhzE6OoqmpibU1dVJ6yqVd5RKzg4JHfaRW+jIJS70ej30ej1qamqkJ2qXy4XFxUUMDQ1Bq9Um5PusVxnDmrhgzR5AmURgOWBN7MQTi8Wg0Wgk7yRwofp3eXkZbrcbExMT6OnpgdFoTBA/2ShXF5Os8xkSO/8PQRAwNzcHh8MBu92OlpYW2fJfsuHZkaOLcigUQkdHBwKBAE6cOAGLxQJAucZ/Isl6dkjosA8LHp1kiH+i3rZtW8KgSHFTMZlMCeXD8UUJLIkLFsUOq71/WBc7qwtfNBrNhpVegUAgYabXepVemSAIAoLBIImdQiAWi6G7uxsTExNoampCbW2t7KWJrIexnE4nOjo6UFJSgsOHDyc8LSiVEySy2dokcvKDfBE6axE/KBK4UJgQPyspEonAarXCbrcjGo0yFcpiUeyQZyd1kik9X13pFQwGJfEjtmKIn+mVSV5aPIFAQHr4zVe2vNjxeDw4d+4ceJ5PelJ3qmTLs5POMQRBwMjICEZGRrB3717U19eveeNUsnx+ozAWCR32yWeRsx5FRUWorKxEZWWlVOIuih+/34++vj4sLi5Knp9cJpGyKHbIs5M66dhWXFycUOklnqdi2EsQhISQl9FoTOtvQmInjxFLqjs6OmC323H48GHFGjop3Wcn3WOsF7aSa/1kWW9tEjrsU4hCZzXxJe51dXV47bXXUFVVBZ7nMTs7i/7+fhQXFyeUuGdzpAWLYke0iTW7WBU7YvVaJnvQ6vNUHL3idrvhdDoxPDwMjUZz0UyvzeB5HqFQiMJY+UgkEkF7ezsWFhZgs9kUiXPGk60wVirHcLlcaG9vXzNstd762RI7JHLyg0yFzqEffBft7/uQTNZkF6PRiLKyMuzYsQPRaFQqcY/Po4jvmKvkBsui2GFVVLDapVi8d8v5mcWPXtm2bRt4npeSnUWRLlZ6iefqWkn5Pp9Pmvqez2w5seNyuXDu3DnodDq0tLRgbGyM2RBTqsdIRowkG7ZajZJiJz5nh4ROfpBtjw5rm3m8PRqNBmVlZSgrKwPwlzwKl8uF6elpaaMQN5R0QwnrweJ0cRYFGMC2CAOgqBCLn9QOQBLpbrdbmhBgNBoTRLpWq8XKygoAwGq1ZnT8M2fO4IEHHsC5c+cwOzuLJ598Etdff/2GP/PjH/8YX/3qVzE4OAir1Yprr70WDzzwgJSwnQpbRuzwPI+hoSH09/ejsbERjY2NUKlUUKvVipeFs+LZCYfD6OjogM/nw+WXX57SyavkZPVMx0UQ2SXbQoe1c2Mze1bnUYhN4+JDCWLIS46+KSwKC5ZFBYt2iffWbP4dV4v0cDic0ITzgQcewMzMDPbv3w+O4zL+3Hw+Hw4dOoRbbrkFN9xww6bvf/nll3HTTTfhG9/4Bq677jpMT0/jIx/5CD74wQ/iZz/7WcrH3xJiJxAIoK2tDR6PB0ePHoXdbpdOKrVajWAwqOjxs5Gzs5lnRwxb2Wy2tMrqlRQk8Z9P/EY69K7/o8jxiPTYCvk5yZLsphRf4t7Q0CCVuMdPyBafpsV8n1Sf7lkUOyzaBLDpBQP+El7LpW1FRUUJlV4PPPAAfvOb3+BXv/oVAKC8vByve93r8KY3vQlvetObcOTIkZTO1WuvvRbXXntt0u9/9dVXsX37dvzTP/0TAGDHjh348Ic/jK985Ssp/FZ/oaDFjiAIWFhYQFtbG6xWK1paWi6KSbJcKZUK6wkqQRAwOjqK4eFh7NmzBw0NDWldUNkKY8WzenMl8ZM7SOj8hUxEf3yJ+86dO6W+KS6XC/39/QiFQlKJuzjSYrPrlUVhwaoHheWcHdY+r507d+JjH/sY9u/fj/e///148cUX8Yc//AHPPvssvvKVr8BkMmF8fFwxu5ubm3HXXXfhN7/5Da699losLCzgv//7v/HWt741rfUKVuzEYjH09vZibGwMe/bsQX19/Zp/lGyKHSVvSmv9HpmErVajdBgrGSFFXp/cQEInETmv4/i+KeKQSFH8TExMAMBFIy2UtEcuWPagsCYqAHZFGHChPYvBYMC+ffuwf/9+3HbbbYjFYhgZGVH0szx16hR+/OMf48Ybb0QwGEQ0GsV1112Hhx9+OK31ClLseL1enDt3DpFIBCdPntywZC5bYgdQ9oReLRjcbjfa29slj1ampbC56rOzHuT1yQ6sCB3WNk6lBuKKQyJra2ul0mGXy4X5+XlpTlJ8vo9Wq2VS7AiCwKyoyMZ4hVRh0bMj4vV6UVxcnHCOqdVq7N69W9Hj9vT04OMf/zjuvvtuXHPNNZidncWnP/1pfOQjH8H3v//9lNdj76+eAYIgYGpqCh0dHaiqqkJTU9OmJ7ZarUY0GlXUrvhxC0qKnXA4LIWthoaGsGfPHmzbtk2WG2Eu+uykAokfeWFF5LBIthKm40uHt2/fnlA9Mzo6iq6uLpjNZmi1WsRiMaa8FuTZSQ2WPTter3dNj6LS3H///Th16hQ+/elPAwAuvfRSGI1GvP71r8cXv/hFVFdXp7RewYidSCSCzs5OzM7O4sCBA6iqqkrqYsumZycWiynWbEwUba2trfB6vbj88stl7YugdM6O3H8DCnmlDwmdzcnFRr66eiYUCkkT3H0+H86cOSOVuNvtdtlL3FOBZc8Oi3ax7tnJhdjx+/0XOSvEvTSdB46CEDtutxutra3QaDRoaWlJ6Q+TDbEjlu0peZxQKISFhQWUlZXJOsRUhHXPzkaQ1yd5WBQ6LJaes+C10Ol0qK6uRjQahdvtRmNjo5TvMzo6CrVaLeX72O32jEvcU4E8O6nBsmfH5/PJIna8Xi+Ghoak16Ojo9Lg7YaGBtx5552Ynp7GI488AgC47rrr8MEPfhDf/va3pTDW7bffjssvvxw1NTUpHz+vxQ7P8xgZGUFfXx8aGhqwa9eulE8YjUajuNgBlBNVgiBgbGwMk5OTMBgMOHz4sCI3GTmmqq9HtvvskNdnbVgUOizCovhSqVQwmUwwmUyor69P6JY7PT2N3t5eGAyGhBJ3JXNXyLOTGix7dnw+nyyz386ePYurrrpKen3HHXcAAG6++WacPn0as7OzUlI+ALz3ve+Fx+PBt771LXzyk5+EzWbDG9/4xq1Xeh4MBuFwOLC0tITDhw+jtLQ0rU0+G54dQBnvRTgcRmdnJzweD3bs2IHl5WXFnqby2bOzEeT1IZGTDix5LdbyNMV3y21sbJRK3N1uNwYHBxEMBmGxWBJK3OXcbFkVFazaFYvFmPbsyDEg+8orr9zwQeH06dMXfe9jH/sYPvaxj2V8bCAPxY4gCDh//jxaW1thMpnQ0tKSkXtWrVZLQ9iUvAjkFlVLS0twOBwwm81oaWnB+fPn4XK5ZFt/Nev1wmF97VTZauKHhE7qsOjZ2Ux8xZe4AxcarbpcLrjdbkxNTYHn+YSQl16vz0jQsRLqWw2rYodVu4ALuTOZjopggbwSOzzPo6+vD8PDw9i9eze2bduW8QkSnzycD2JHEASMj49jcHAQu3btwvbt28FxnKJhJgCKjtXIpWdnMwo55JVPQoe1jZMle9IRFnq9HrW1tReVuC8uLmJwcBBFRUUJJe5rDYjcCFY3b5btYtmzk06ODGvkjdjx+XxobW1FMBiUtdIoG5VSgDxN+cSKs5WVFRw7dkwa6Caur6RgYK3PTi4oJK9PPgkd1mDNa5FpMvDqEvdYLHbRgEiTySSJH6vVuunGTAnKqcFyGCsQCMgSxso1zIsdQRAwMzOD9vZ2lJeX4/Dhw7KKErFSSuleO5l6dlaHrVY/aSld7VWoOTuZkI9eHxI5mcOaMJdbfKnVapSWlkqTpcPhsBTy6u3tRSQSSRhpYTKZLjo+JSinRiwWS9l7li38fj+JHaWJRqPo6urC9PQ09u3bh5qaGsUqjbLRayedDX29sJVc6ycLiZ2NyQevDwkd+WDJa6G0p6moqAhVVVWoqqqCIAjw+/2S+BkbG5OSoUXxU1xcTJ6dFGE5jOX3+zecQpAvMC12ent74XK50NzcDKPRqNhxWB0GGolE0NXVheXl5YvCVqvJ5zAWx3HMPS1nCmviJ5+FDmvnBov2ZEtYcBwHo9EIo9EolbivrKzA5XJhdnYW/f390Ov1UKlU0Ol0iEajTI1nYFnssGgXQGGsrLC4uIidO3cqKnSA7E0lT+UYy8vLcDgcMBqNa4atVqP076C0ZycWi6G/v1+R9VkglyGvfBY6rMKS1yKXISOVSgWbzSblUIoNDkdGRrC8vIwXX3wRZrNZ8vpYLJacbuqsigpW++yIw2ktFkuuTckYpsWORqPJSniDJc+OIAiYmJjAwMAAdu7ciR07diR1YxXFiFJPeUrmBMViMQQCASwuLiqyPmtky+tDIkcZtrJnZzM0Gg3Ky8vhdDpRVFSEmpoaKeTV2dkJnucTRloYDIas2Z6NFiPpwnqCMoWxFCbfuxuvPsZmwk0MWy0tLW0atlprfUC52K9Snh2Xy4Xu7m4AwMmTJ4Fuh+zHYB0lvD4kdJRBFDqsiAuALbEjIubsFBcXo6amBjU1NRAEAV6vF263G06nE8PDw9BqtQn5Pkom6Yr3LxbFDss5O2IDynyHebGjdJWUeJxsiJ1QKLTu/8eHrU6dOpXyRa/0ZHW5xU584nV9fT1mZmaYiu3nCjm8PoUodFjbzFmyh0Wxs1ZojeM4mM1mmM1mNDQ0IBaLYXl5GS6XC5OTk+jp6YHRaEwYaSHnvYx1scOiXbFYDKFQiMSO0hSSZ2e9MJAgCJicnER/fz8aGxvR2NiY1o1LvFCU6hckp9iJRqPo7OzE8vIyjh8/DpVKhenpaVnWLjRSFT+FKHRYgrUQFsCm2EmmGkutVkvCBrhQ4i4OMu3v70coFEoocTebzRl3dQbYFDushrE8Hg8EQaAOykpTSGJnrTBWJBJBd3c33G43jh49Kl306aBSqRQduyCX2PF4PHA4HCguLpYSr71eb96XnmeL9UJeJHKyC0vigsWeNunYVFRUhMrKSlRWVkqJsWK+jzggcvVIi1QQ7/Es/e1EWE1Q9ng8ACBbE99cwrzYCQaDih8nFwnKKysrcDgc0Ov1Gc/3ElGyYkqOPj4zMzPo7u7G9u3bsWvXLummUwh9dnLBVhE4LHlTKGcnOeTo6mwwGGAwGFBXVwee56WRFvPz8xgYGIBOp0sYabGZR1sMFbH2WQHs5ux4PB6o1WpZpp7nGubFTiF5dmKxmGxhq42OoQSZCBJxptnMzAwOHTokDSMUEfvssLSpEcRasHiOsip25PRUqFQqWK1WWK1W7NixA9FoFEtLS3C5XBgdHUVXV1dCibvVar3o+KzmxbBcJebxeFBcXMzc+ZUOTIudbIgQ8TgbJQ/LgTiSor29HW63G0eOHJHasct5DNYmkweDQbS1tUEQBLS0tMBgMFz0HvEiZ3EjIYi1YOnmz6LYUdomjUaDsrIylJWVAQBCoRBcLpdU3RmNRlFSUiKFvYxGI7OCQryvsurZKQSvDsC42MlWNVY2RFUoFILX60VRUZFsYavVKNkLRwxjpXITczqdcDgcqKysxL59+9a9mOMryQiCZVgU5CyOZsi2sNDpdKiurkZ1dTUEQYDP55PyfUZGRqDRaGA0GiEIAkKhkCL333QR79ksCjESO1miEMROfNhKrVbj2LFjit2YlJyPFe992cx+QRAwMjKCkZER7Nu3D3V1dUmtTWJn65HspsjaZs6SPax6dnK1eXMcB5PJBJPJhIaGBvA8j+XlZUxPTyMWi+Hll1+G0WiUvD42my2nbS9YLokXxQ5r51c6MC92shHGUuo40WgU3d3dcDqdaGpqwtDQkKInjdIjHYDNN6dIJIKOjg54vV6cOHEiqf4M4mdCYmfr8eKLL0p5FulU2GQbSlBODpa8TeKg0mg0Cr/fj8OHD8PtdsPtdmNwcFBqmhdf4p5N4SFWYrHyecXj8/mYvyaThXmxk6+eHY/Hg7a2NhQXF+PUqVOIRCLMjKRIh2S8LysrK2hra4PJZEJLS0vS/X7Ei5zFEAGhLIcPH06osCkuLkZpaSkTT9xrweI5yqLYYbEcXnxQ02q1qKiokAolxBJ3sbkhgISRFkp7NlitxAIAr9e7Zp5lPsLWnWQV+ViNJQgCpqam0NfXl1BiHYvFFJ1dBWTPs7MWU1NT6O3tTavCjOM4Kj/folgsFlgsFmzfvl2qsHE6ndITt9VqRTgcht/vh91uZ2ZTZ8UOgE2xw5JnR2Q9r7Rer0dtbS1qa2shCIJU4r6wsIDBwUHodDop5FVSUiL7SAtWe+wAFzw7JHayQDarseQ4TjQaRU9PD86fP4/Dhw9LlQLiMcTyaiVzdpT6vDiOW7MiKxaLobe3F/Pz8xf9zqmuT2Jna7O6wkZ84h4aGsLw8DDGxsYSQl65SDIlz05ysOrZ2cyDwnFcggCPxWJSifv4+Di6u7thNpsl8WO1WjP2yrDs2SGxkyXEqedKZ/bLIRLEzsA6nQ4tLS0oLi6+6BiAsipeae/I6movv98Ph8MBjuPQ0tKSUWyXPDvEasQn7snJSezatQsajQYul0vyIppMpoQ5StnYXClnJznyybOzEWq1GqWlpVKbkHA4LIW8ent7EYlEEkZamEymlH9v1j07RqMx12bIAvNiB7jgMVFyGm4mYkcQBExPT6O3t/eizsDxKD27SjyGkp6weEGyuLiIjo4OVFdXo6mpKeOLVaVSMfnUTLABx3Gw2Wyw2WxobGxEJBKRNp2enh6pr4q46RgMBsU2W9Y2cRbFDquenUxtKioqQlVVFaqqqiAIAvx+v3Qejo2NScnQ4nm4+qF3LVidiwVceKCVux9crmBa7MR7Q5Q+Tjr5NBuFrVaj9OwqQNnSc+AvYmpwcBBjY2M4cOAAampqZFubPDvEeqy+LrVabcIcJbGvitPpxPDwMLRaLex2O0pLS5MaJZAsLApyFsUOq54dOW3iOA5GoxFGoxH19fXgeR4rKytwuVyYmZlBf38/9Hp9Qr7PWgn3rDY7BC54dhoaGnJthiwwLXY4jstKRVa8qEq2+kMMW4lNApNR8ErnICktGDiOQ19fH6LRKE6ePAmz2Szr2iR2iHRY3VclPs9idHRUyrMQxU+mpcWsbeKsiR0xN5G1DVzp3BiVSpXgfYxGo9IU9+HhYQQCAVgsFkn8WCwW6Z7NqmcnEAhQGCtbZGtuFXDBU5OM2BFzBrZt24Zdu3YlfVFnQ+yEw2FF1l5aWkIoFJKmlctdEkyeHUIuVudZhEIhOJ1OuFwuTE9PQxAEacMpLS1N6kFFhFXPDkvCQvyMWLIJyL4HRaPRoLy8HOXl5QAujM4RQ17T09PgeR4lJSWSbayJVuBCGEvOh9pcwrzYyUb5uRhi2uw4sVgMPT09WFhYwGWXXSadxMmitNhRIowV3wG6qKgI27dvV6T3CeXsEEqh0+lQU1ODmpoaqbTY6XRibm4OAwMD0Ov1CdOzk6nYYQnWNknxHsSSTcAFu3LZt6m4uDjhPPR6vZLwCQaDeOWVVxLyfZTMU00WEjtZJFuNBTcTVV6vFw6HA1qtFqdOnUrpaVAk29VSmSLmJDmdThw9ehT9/f2KCRLy7BDrIec5F19aLE7PFkMNAwMDCIVCCQ3lVlfXsCYsAPZsIs/O5nAcB7PZDLPZLDWcLS8vh8vlwsTEBHp6emAymRJGWuQi1BUIBGAymbJ+XCVgXuyw0GtnenoaPT09aGhowO7du9O+YPLJs+Pz+dDW1gatVovm5mYUFxcrmgBNOTtELlgdalhdXaNWqxN6+7DofWRN7LDs2WFF7MQj5uyI5xhwocRdFOF9fX0Ih8Ow2WyS+DGbzYp/voIgIBgMkmcnW+RyZESmYatkjiEncnlH5ubm0NXVhbq6OuzZs0e6QSjdoZnEDpFrDAYDDAYD6urqpAGS4hiBnp4eGAwG8DwPt9sNq9XKxObJmthhsRcRwK7YWaswpqioKKHaMH6kxfj4ODiOk8KuSs6UCwQCsFqtiqydbfJC7OTCsyOGrTQaTdphq82OITeZhrF4nsfg4CAmJydx8OBBVFVVXbS+kmKHxadmYusi9kwpKSnBzp07EQ6HMT09jbGxMXR3dyMWi0khr9LS0pxNh2ZN7Igl3izZBLAtdjYKUXEcd5EIF0daiHlnxcXFkviRs9VCIBAgz062yIVnZ2ZmBt3d3RmHrVajtPcikzBTKBSCw+FAJBJBc3PzmuWG5NkhcgULG2dRURFKS0sxPT2NU6dOSb19zp8/j+HhYRQVFSWEvLKVDMua2GGtOkyEVbGTaum5SqWC1WqF1WqV8s7iWy10dXUllLin64GMRqMIh8Pk2ckW2fTshMNhdHV1YX5+HocOHZKm4sp5DBbDWC6XC+3t7bDb7Th69Oi6N2klBQnl7BDrwZLHTxQWG/X2GRkZQXd3NywWiyR8LBaLIoJE6Xl76cBiQ0GAXbGT6biI1TPlQqGQFPKK90CK4sdoNCb191lZWQEAEjvZQqPRwO/3K34cQRAwMjICg8GQ8Zyn9chGgnIq6wuCgPHxcQwODmLv3r2or6/f8CKgMBax1VnvHI3v7bN79+6EniqTk5MAkOD1kSMsHm8PS+KCPDupIXdTQZ1Oh+rqalRXVyd0FxeFuEajScj3WW+grsfjAUBiJ2tkw7MzMzMDl8sFq9WKyy+/XNFBnax4dqLRKDo7O7G8vIzjx4/DZrMltb5S9lMYi8gXkhEWq3uqiGMEZmdnpTECpaWlGZcVsyh2yLOTGkoOAl3tgYxPuheb4xqNRkn82Gw2ybO/srICjUazrhhKljNnzuCBBx7AuXPnMDs7iyeffBLXX3/9hj8TCoXwr//6r/jRj36Eubk5VFdX4+6778Ytt9ySth3Mix0lvSGxWAx9fX2Ym5uTpY38ZqjVakQiEUXXT+azEkddiN2Qk21eRTk7xFYnHe8jx3EJORaRSEQqK+7v75fyIkTxk2yYId4elsQFq6KCZbuy1UNnddJ9/Lko9pl6+umnoVKp0NDQgOLi4ozPLZ/Ph0OHDuGWW27BDTfckNTPvOtd78L8/Dy+//3vY9euXZidnc14f2Be7CiVoOzz+eBwOKBSqdDS0oLx8fGsjKUIBoOKrZ+MYBCTrzea0L7R+koli1PODpEPyJEfo9VqUVFRgYqKCqmsWBxnMTo6elFvn40eRlgUOxTGSg0lPTubEX8uAheqr4aHh/HLX/4S//mf/4lgMIi//du/xdVXX403v/nN2LlzZ8rn2rXXXotrr7026fc//fTTeOGFFzAyMiL1Hdq+fXtKx1wL9v7yq1AijDU7O4tXXnkFpaWlOHHiBPR6fdZmcGUjjLXW0yfP8+jp6UFPTw8OHTqE3bt3p3zSUs4OQcgrLMSy4vr6ehw6dAivf/3rceDAAeh0OkxMTOCll17Cn//8ZwwPD8Ptdl90/bEodiiMlRosDQLV6/X4wAc+gJ///Of45je/iYqKChw9ehSPP/449u/fj8bGRnzmM59R1IZf/OIXOHbsGL761a+itrYWe/bswac+9SkEAoGM1t1Snh0xbDU7O4tLL70UlZWVCcfJxgwupROUgYsvnmAwiLa2NgiCgJaWFhgMhrTWV1rsKBniI/IbVjZPpQX5Wr19VlfWxM9PEq9zVj4fgDw7qZJLz85GBINB2Gw23HXXXbjrrrvg8/nw4osvYn5+XtHjjoyM4KWXXkJxcTGefPJJnD9/Hv/4j/8Ip9OJH/zgB2mvmxdiRw6B4PP50N7eDo7j1tzws+XZUXo2FpAodpxOJxwOByorK7Fv376MniAoZ4cgsissioqKUFVVhaqqqoThkYuLixgcHJRCXOfPn89qb5+NIM9O8giCwJRnJx6Px5OwTxqNRvzVX/2V4scVz58f//jHUiXY17/+dfzt3/4t/uM//iPtSuncXxmbIIdnRxx/UFtbi7179655whdKGAv4S/vxkZERjIyMYN++fairq5NlfRI7RLZhKbyZS1vih0du27YNsVgM8/Pz6Ovru6i3j1hwkauOzqyJCjG8z6JdAHtDU4ELDoJ0owCZUF1djdra2oSS93379kEQBExNTWH37t1prcu82BEFQjqJgTzPo6+vDzMzM7jkkksSwlbrHUdJsiF2OI5DKBRCd3c3vF4vTpw4AYvFItv6SjYVZGlTI4j1YMVroVarYbPZoFKpcPLkyYT5SZOTk+A4Tgp5lZaWZlxCnCwsenZYFRWiXSx6drxeb07EzqlTp/DEE0/A6/VKE9cHBgagUqkyemhnXuxoNJq0XH1+vx8OhwMAkspTyYbYUTpnB7hwI25ra4PZbEZLS4tsM1IAZcNw5Nkh8gHWuhXH26PX61FbW4va2lppfpLT6cTMzAz6+/thMBikXJ9MevskYxNrokJ8kGLNLnE/YM0u4MIeKofY8Xq9GBoakl6Pjo7C4XDAbrejoaEBd955J6anp/HII48AAN7znvfgC1/4At73vvfhvvvuw/nz5/HpT38at9xyS0bNfvNC7ACbD0uLRwxb1dTUoKmpKakTSa1WKz6DS+mcnampKfA8j/Lycuzfv1/2mzKFsYhcwYrAYM37uJ74ip+f1NjYmNBPpa+vD5FIRBpimmpvn80gz07yiHlErH1ewIUw1lozElPl7NmzuOqqq6TXd9xxBwDg5ptvxunTpzE7O4uJiQnp/00mE5555hl87GMfw7Fjx1BaWop3vetd+OIXv5iRHcyLHfFEiEajmza/iw9brTW1eyPyOYwVi8XQ29uL+fl5aLVa1NTUKHLxkNghCHaEF5C8p2l1bx+/358wQkCr1Sb09snEI8xiInAsFmNyEjurlVjABbGzUepHslx55ZUbPiScPn36ou81NTXhmWeeyfjY8TAvdjiOS6oiK9Ww1WryVeyIv7dYZXb27Nm8HOlATQWJfCBfPDsbwXEcjEYjjEYj6uvrwfO8NMR0fHwc3d3dMJvNUkdni8WS0obMWqgPYFOAAWz12FmNXGEsVmBe7ACbh5jm5+fR2dmZUthqNRqNRsrYV+pCFRvnyXXhLS4uoqOjA9XV1dLvna/eF2oqSOQDrG3kctijUqkkjw6QODW7s7MTPM+jpKREEj+b5U2wKCxYtAlILT0j2/j9filBuBDIC7GznmeH53n09/djeno65bDVasQTTizbVoL4pn+ZXHiCIGBoaAhjY2M4cOAAampqpP/L12GdFMYi1oM1EcyS2FEiP2b11Gyv1wun04n5+XkMDAyguLhYEkclJSUX3S9ZTFBmVeywahdwQeyYzeZcmyEbeSN2Vnt2/H4/2tvbwfM8mpubM06kyqbYyeQY4XAY7e3tCAQCOHny5EUno9IVU0oJKQpjEfkAa8JLaU9TfG+f7du3IxqNSiGvoaEhBINBWK1WSfyYzWZmE5RZFBUs5+wEAgHy7GSb1bkuYthKDN/I4QYUE6Gz0Qcn3WMsLS3B4XDAarWipaVlTcFEnh2CUBaWNvJsh9U0Gg3KyspQVlYGAAm9fcbHx6FSqaDRaGAwGBAKhbLW22czWBY7rIaxAoEAeXayjejZEcNWU1NTOHjwIKqrq2U9Dqu9dgRBwOTkJPr7+7Fr1y5s37593Ruc0p4dQRAUucGS2NmaHPrBd9H+vg/l2oyk2Wqenc1Y3dtnZWUFAwMD8Hg8ePnll2EymSSvj9VqzdnGzqrYYTVBWRAEBAIB2RrSskDeiJ1gMIjXXnsNPM+jpaVFlvr/1bA4HysajaKnpwdOpxNHjx6VkgjXQ2nvC6DMBRqLxWgQKLEurHhTci0uVsOSPSqVCjabDSaTCQaDAbW1tZLXp7e3V+rtIyY6GwyGrNnOsthh0S7gwiBQ8uzkgPHxcdTW1soWtloL1srPfT4f2traoNVq0dzcjOLi4k1/RukwFiC/2FleXkZHR4ds6xGEkrAiLgC2xI6ImLOj1WpRWVmJyspKqbeP0+mE0+nE8PCw1NuntLQUJSUlsnZ7X8smFkUF6zk78fOp8p28EDs6nQ7l5eU4cOCAosdhSeyIXaDr6uqwZ8+epC8IJcNY8dVkcjE9PY2enh40NDRgdHRUtnUJQglYDGOxtlmuZVN8b5+GhgbEYjEsLy/D6XRidHRU6u0TP8RUzt+L1XARqzk74XAYkUiEwljZRqvVKlYhFU82RkZs5nnheR6Dg4OYnJxMq5xe6YopQB6xI3a7np2dxeHDh2E0GknsEGvCmsBgyZPCsmdnI9Rq9bq9fTo6OiAIgjTENJnePsnYxJooBNgVYR6PBwDIs5NtkumgLAe5ztkJhUJwOByIRCJpl9MrKdjEduuZih3x94xGo2hubpYqNwiCdVgTXqyKnVSFxerePh6PBy6XS+rto9frE4aYpvrwy2I5PKBsq5NMWFlZAQDYbLbcGiIj7H3Ka5ANEQJkR1St97u4XC60t7fDbrfj6NGjaV8ASlc1ZRomW1paQltbG+x2Ow4ePCg91bB4IyKI1bAmLlizB8jcJo7jYLFYYLFYpN4+4hDTwcFBqbePmOhsMpk2PR55dlJjZWUFRUVFTAqxdMmL32StpoJKkIucHUEQMD4+jsHBQezduxf19fUZ3SiUDGOJ66crdqamptDb24vdu3dj27ZtCb8nizciglgLlsQFi2JHbmGh0WhQXl6O8vJyAEgYYjo2NpYw7qK0tHTNgdGsigpWE5Q9Hg+Ki4uZO7cyIW/ETiGFscRjRKNRdHZ2Ynl5GcePH5fFZahkgjKQntjheR69vb2Ym5vDkSNHUFpauua6BLEerNx0KYy1OUonTRsMBhgMBtTV1Um9fZxOp/QwFd/bx2azSfcsFu8xrIowj8eTcZ4Ua+SN2CkUz4544Xk8HjgcDhQXF6OlpWXNp5FM1leKVNcPBoNwOBxSf6T1LiDWbthE9ohEIoqWHcsJa+KCNXuA7ObHiL19bDYbdu7ciXA4DLfbDafTiZ6eHkSjUZSUlCASicBsNjP3ebHq2fF6vdDr9Ux9VpmSN2InW54dpRNl1Wo1lpeXMTY2hu3bt2PXrl2ynlBKC7ZUxI7b7YbD4UBpaSkOHDiw4ROMmPxMbD1eeuklmM1mlJaWSmXHdC4kB4uJt7kshy8qKkro7ePz+eByuTAxMQGPxwOn05kwxDTXIptVz44odgqJvBA72SgJz8ZxeJ6H2+2Gx+PB4cOHUVFRIfsxWPDsxI+32LNnDxoaGpK6IatUKvz579+L4z8+LZO1RD7Q0tICp9MJl8uFyclJcBwn5V9s1jE827DmGWDNHoAdAcZxHEwmE0wmE1ZWVmAymWA2m+FyuaTePhaLRRI/Fosl63az7NkxGAy5NkNW8kLsiJ4dpS9sJb0iwWAQbW1tCIVCKC8vV0ToANlJUN5o/Vgshp6eHiwuLiY13mL12jQfa+uh0+lQU1ODmpqahByMyclJ9PT0ALjQfLK6ujonG9Jqcn38eFgUOyw2OuR5HhqNRvIeAhfuyWKi8+TkJACgpKREEtnJdKyXwy5WPTskdnKAWP6mdE8CpcSO0+mEw+FAZWUlKioqpIZNSpDLBOVAIACHwwHgwtN6qjcLEjvEWjkYr7zyCoLBINrb2wEgweuT7analKC8Oax4duJZK0G5uLhYEtlibx+n04nZ2Vn09/dLvX1KS0ths9kUESWsenZ8Ph+FsXJBvoodQRAwMjKCkZER7Nu3D3V1dZiYmGAmp0bO9V0uFxwOByoqKrB///60LmA5GhYShUVRURFUKhV27twphSOcTiemp6elyhvxad1isWRl42BpI2dR7LDq2dnIpvjePjt27Ejo7dPf349QKASbzSaJH6PRKMvnzqpnx+/3KzJsO5fkhdhRqVRQqVSIRqOKPsnJKXYikQg6Ojrg9Xpx4sQJacaI0gnE2U5Qju8T1NTUhPr6+ozWZu3JmWADMYHdarXCarWisbER4XBYCkN0dnaC5/kEr48SYQjWxAVr9gD549nZiPjePoIgIBAIJPT2iR93Ybfb06qmFQSBac8OiZ0cwdKQzs1YWVlBW1sbTCYTWlpaEjL+WaqWynT9WCyG7u5uOJ1OHDt2DCUlJbKtTRCbUVRUhKqqKlRVVa0ZhjAYDJLXx2q1yrKpsCbGWfSisGhTJn12OI67qLfP8vKylOvT09MjDTG12+1Jn2viucSiZ8fn86GmpibXZshK3oidbPTakaPEXWxs1djYiMbGxouecLI1zkGpJz7R/kAggLa2NqhUKjQ3N8vyFE1ih0iX1WGISCQi9Vvp7u5GLBZLSD7NJB+BJa8Fa8JCEATmbALk7eqsUqlQUlKCkpISKa9M9PrEn2vxQ0zXOmfEvYa1zwq4EMYymUy5NkNW8krssOzZicVi6O3txfz8PA4fPoyysjLZj5EM4oWjVCxYpVLB5/PhlVdeQXV1NZqammS7WClnh5ALrVaLiooKVFRUQBAEeL1eOJ3OhMGSovBJJfmURc8OS+JLvH5ZsglQdjbWag+j1+uFy+XC4uIiBgcHodPppHOtpKREyjsVPysWPTuBQIDETq7IpthJ9Qbi9/vhcDjAcdyGXYLjj6EU4gUdi8Vkv4jEJl1LS0s4cOAA6urqZF2fcnaItcj0nOA4DmazGWazOWGwpNPpRF9fHyKRSILXZ7OSW5Y2ctbEjvi3Ys1bka1xEfHn2rZt2xCLxbC0tASn04nh4WEEAgGpt4+Y5MzS30+EPDs5JBuNBUVxkIpXZHFxER0dHUl7OZQuDY//HeQkGo2iq6sLKysrqKiokF3oABTGIrLD6uRTscuu+CReXFyc8CQefy9gUVywZM9W9OxshFqtXrO3j9PpxMTEBARBQFdXlxTyykZvn2QgsZNDspGzI97UkvGKCIKAoaEhjI2N4cCBA0kncynd9E98UpBTNPj9frS1tUGj0aCurk4x+0nsENkmvstuQ0MDotGo9CQ+MDCAcDgMm80miR+xOR0rsCZ2trpnZzPie/ssLS2ho6MDRqMRMzMzUlJ9/BDTXIW4gsEgzGZzTo6tFOxctZuQjTCWeDFEo9ENSwnD4TDa29sRCARw8uTJlE4KpROIAXkFlei5qqmpwd69ezE6OgqfzyfL2qshsUOsR7Y2dI1Gg7KyMpSVlUEQBPj9fulJfHh4GBzHQa/XY3FxMSH/IlewJnZY9OwIgsCM2ImH53lotVrs2LEjIane5XJJ4VWr1SoJbbl6+2yGWGovtkspFPJK7Cjt2eE4btOcmqWlJTgcDlitVrS0tKR8s4v3Hil1o5QjVCYIAkZHRzE8PJzguVJSkHAcRzk7BDNwHAej0Qij0Yj6+nrEYjF0dnYiEolgaGgIwWAwweuTrc0oHtZ62rBaiQWw6W2K99ysTqoXhbbL5cLIyAg0Go3UR6qkpCSt3j7JEggEyLOTKzQaDcLhsOLHWU/sxA+33LVrF7Zv357WTUapnJp4MvXsRKNRdHZ2Ynl5OaEhori2UraTZ4dgGbVaDZ1OB4vFgsbGxgSvz8jICLRarSR87HZ7Vrw+LHp2WLIHyM/Q2mqhzfM8lpaW4HK5MD4+ju7ubqm3jxLdw4PBIKxWq2zrsUBeiZ1AIKD4cdYSO9FoFD09PXA6nSkPt1yNeCNQuotyuqLB5/Ohra0NOp0OLS0tFz09KJlzRGKHyCfiG83FYjEsLy9Lwqe7uxtWq1XajEwmkyIigDWxQ56d5Emle7JKpZJENACEQqGLuofH9/bJZIhnMBhENBolsZMrshHGAi4WO+Lmr9VqZWmel0yoLFPSFQ0LCwvo6OhAfX09du/eveaFSJ4dNql5QcDMFexsenLCUmhzPXERPz5g9+7d0ngBp9OJ8fFxqSpHfE98V3Ul7MkVLHp2xHsti3alm4Cs0+lQXV2N6urqhN4+CwsLUkWheK6lmlu2srICACR2ckU2xkWsPs7c3By6urpQV1eHPXv2yPZkkA2xk8r6giBgeHgYo6OjOHjwIKqrqzdcW8mcHRI7BOsks2nq9XrU1taitrZWGi/gdDoxNjaGnp4eqddKaWkpzGZz2hsxi2KHNQ+KaBNLnxMgX+PX1b19xIpCl8sl9fYRvYx2u33T800UO5SgnCOyUY0lHicajaK/vx+Tk5M4ePAgqqqqZD2G0uXnqYSxIpEIOjs74fF4kqosU9qzk42/MUGkSzpepvjxArt27bqo14pKpUrw+qSSeMqa2GE1jMWaTUBqYaxUiK8oBJAwxHRiYgIcxyUMMV09XNvj8UCn0zHZ2TkT8krsZCOMBQCjo6PSzCclJr8q3VgwWdHg9XrR1tYGvV6P5ubmpG6ySoudSCSiyNoEIReZiov4Xis8z2NlZUUSPr29vRclnm50PNbEDothLFbFjlIjfVaz2ssoDsydnp5Gb28vjEYjSktL4fP5sGvXLng8nnXneaXCmTNn8MADD+DcuXOYnZ3Fk08+ieuvvz6pn3355ZdxxRVX4ODBg3A4HBnZIZJXYkfpp36XywW32w2j0YgTJ04oWhqea8/O/Pw8Ojs70dDQgN27dyd9YlMYi8gFrGygcosLlUoFm80Gm82GnTt3SomnTqcTU1NTCU/hpaWlFz2QsOZJYc0egF2xo5RnZyNUKhWsViusVisaGxsTBub+8z//M86ePYvGxkZp1uO+ffvSPt99Ph8OHTqEW265BTfccEPSP7e0tISbbroJb3rTmzA/P5/Wsdcib8SOkuMiBEHA+Pg4BgcHpVi6kmWjuUxQju/8fMkll6QcoqMEZWIro3SydHziafxT+NTU1JpeH/LsbA6rYofneUV75SRDfG+f3/zmN3A4HPj617+O8fFxHDt2DGVlZXjLW96Ca665Bm9605tSqkS+9tprce2116Zs00c+8hG85z3vgVqtxlNPPZXyz68He2fAOigVxopGo3A4HBgbG8Px48dhtVqz0qlZac/OWutHIhG0trZidnYWzc3NaeUiKS12WKq8IYi1yNZmLj6FNzY24vjx43jd616H+vp6BINBdHZ24qWXXkIgEIDb7UYoFMqKTZtBnp3kyYVnZyNUKhWOHDmCq666Cjt27IDL5cL3v/99lJSU4Atf+ALe8573KG7DD37wA4yMjOCee+6Rfe288exoNBrZxyx4PB44HA4UFxdLPWUWFhYUb16YjZyd1et7PB60tbXBaDSiubk57dJXJW0nzw7BOrkU40VFRaiqqkJVVRUEQYDH40F7eztcLhemp6dhNBolr4/Vas3JRkqeneTJVs5Oqng8HhgMBhQXF+PNb34z3vzmN+OBBx5QXFAPDg7is5/9LF588UVFIit5JXYA+cYszMzMoLu7G9u3b8euXbukCzQbJe7ZLj2fm5tDZ2fnRb9rumtTzg6RTVjz9rGwmXMcB4vFAq1Wiz179sBsNku5Pt3d3YjFYgm5Ptmapk2eneRhzbMj4vP51mxKuLpqS05isRje85734L777sOePXsUOUbeiZ1oNJqR2OF5Hn19fZiZmcGhQ4dQUVGR8P+FIHbE/CZBEDAwMIDJyck1f9d0EENNSuQKUBiLYB3Wzk/xOtRqtaisrERlZaXUZM7pdGJubg4DAwPSNO3S0lLYbDbFNllWPTsselBYtcvr9WbUgTkdPB4Pzp49i7a2Ntx2220AIEVyNBoNfv/73+ONb3xjRsfIG7HDcRxUKlVGeTvBYBBtbW0QBAEtLS1r/kGzNV1dac9ONBrF2bNnEQwGcfLkSZhMJtnWBpS5UCmMRbBOPiQExzeZ2759e0LFTW9vL6LRqDRaoLS0FHq9XjZ7yLOTPKx6dvx+vyItVzbCYrGgs7Mz4Xv/8R//gT/84Q/47//+b+zYsSPjY+SN2AEyEyJOpxMOhwOVlZXYt2/fuht1IXh2IpEIFhcXUVZWhubmZlnjnyR2iFzAksBgyZZkxNfqado+nw9Op1MaLaDX6xO8Pplc16x6dlizCWDXs+Pz+WQRO16vF0NDQ9Lr0dFROBwO2O12NDQ04M4778T09DQeeeQRqFQqHDx4MOHnKyoqUFxcfNH30yXvxE6qnh1BEDAyMoKRkRHs27cPdXV1G74/W2JHqSTomZkZjI+PQ6/X47LLLlMk1AQoM7WdcnYI1mE1jJUsHMfBZDLBZDJJowVEr09fXx8ikUiC1yfVcAaLXhQWbQLY9ez4fD6UlpZmvM7Zs2dx1VVXSa/vuOMOAMDNN9+M06dPY3Z2FhMTExkfJ1nyTuykIkQikQg6Ojrg9Xpx4sSJpGZ95Ktnh+d5DAwMYGpqCg0NDfB4PIo8zSg5tZ1ydgjWYS2Mlak9Go0G5eXlKC8vhyAI8Pv9cDqdOH/+PIaGhqSBkqWlpSgpKdnUE8FqGItFDwqrdgUCAVk8O1deeeWG9/PTp09v+PP33nsv7r333oztEMkrsZOKSFhZWUFbWxtMJhNaWlqSLrXOhtiRO2cnHA7D4XAgHA6jubkZKysrWF5elm39eMTcKSU8MBTGIojUkFN8cRwHo9EIo9GIhoYGxGIxyeszMDCAcDgMq9WK0tJSyeuz+tgshozIs5Mafr9/0xmJ+UheiZ1kw1hit9HGxkY0NjamdPEp2ak5/hhyberLy8toa2uDzWbDkSNHoNFo4PV6Fe/jo4QHhsQOsRYsefsKzbOzEWq1WhooKQgCAoEAnE4nXC4XRkZGUFRUlOD10Wg0zHp2lOyIny6senb8fr9sBS0swd4ZsAGbhbHEeR7z8/M4fPiwNPU1FUTPjtI3ETk8O9PT0+jp6cGuXbuwfft2yd5sVHspsT7l7BD5wFYRO/FwHAeDwQCDwYD6+nrEYjEsLS3B6XRieHgYgUBA6j5vMpmYEoUsenbEsmoWxU4gECDPTq7ZyLPj9/vhcDjAcRxaWlrSLqcUTz4lVXemYkfsFTQ7O7umqMtFh2a51mXpKZ4gVsPa+ZkrUaFWq6VwFgDJ6zM+Po65uTm4XC7J66P0rMHNYFXsAGDOLtGDR2Inx6zn2VlcXERHRweqq6vR1NSU0QkkCpxYLKaY2MnEMxIKheBwOBCNRtHc3LxmtUQuB41mAsdxiocQifyEFS8BwI4tovBiYcPU6/Woq6vD8vIyDAYDrFYrnE4nRkdH0d3dDYvFIokjk8mU1c+QRbEj3p9Zswsgzw4TaDQaBINB6XX8BO8DBw6gpqYm42PEix2lSNfzsrS0hLa2Ntjtdhw8eHBdMaZ07osS60ejUfT19cm6JkHIDUvhGVHssGIPACk0I46qAC40cxVzfcbHx6X/F70+6c7pSxZWxY5Y7MEawWCQxE6uifdYhMNhtLe3IxAI4OTJk7L9cTiOy8o4h1TXF5Oud+/ejW3btm14g8tGzo6cYsfv96O1tZXJJEKCiIelMBaLYmetaqzi4mLU1taitrYWPM9jeXlZCnn19PTAbDZLXh+z2Sz778Oi2GE1OZnneSn/qtDIq91FDGMtLS3B4XDAarWipaVF9k2SJbHD8zx6e3sxNzeHI0eOJNXsSa1WKza/SlxfLrEjdrauqanBjh078Pzzz8uyLkEoBSvigkWxs1k1lkqlQklJCUpKSgBcCMuLXp/JyUlwHJfg9SkqKsrYJlbFDms2ARe8OjzPk9jJNWq1Gl6vF3/+858vqkCS+zjZCGNtJkaCwSAcDgd4nk8p6VrJkQ7i+pmKHUEQMDExgYGBAamzNeXrEKxDnp2NSbXPjk6nQ01NDWpqasDzPFZWVuB0OjE5OXmR18disaT1u7IoLFjtsbOysgIAJHZyjUajQTgcxtGjR6V4sBJkI8EX2FiMuN1uOBwOlJaW4sCBAymJFnF9pZKsMxU7PM+jp6cHCwsLOHbsmPSUx+LFT+QWlsSFCCviglWxk+51rFKpYLPZYLPZsHPnToTDYcnr097eDgAJXh+dTqe4TUqhZAFMJqysrEgjRQqNvBI7Wq0WOp1OUaEDZMezA6x9wguCgMnJSfT392PPnj1oaGhI+WYWXz6vBJmIHbGaLBaLobm5OcFbxdJNm2ALVs4NSlDeGDmbChYVFaG6uhrV1dUQBEHy+kxPT6O3txcmkynB67PecVkUO6zm7Hi9XhQXFzNpW6bkldjJZOp5KijdRTne8xJPLBZDT08PFhcXM/JecRwHjuMU+6zSFTsrKytobW2FzWbDJZdcctEFJdpNbC3Onz8Pu93O3Ia0Fix5msRrkKVrRqlxERzHwWq1wmq1orGxEeFwGC6XCy6XC52dnRAEASUlJZLXp7i4OMEm1s4tlsNYxcXFTJ1TcpFXYicboxzE4ygpqtaq+AoEAnA4HACAlpaWhIs1HZRsLJiO2JmdnUVXVxd27tyJHTt2rHsxsXgDIJTlQzs/I339722fQ11dnSyJqUrBykbAkpdJJFvjIoqKilBVVYWqqioIggCPxwOn04nZ2Vn09/fDYDBIXh8WhQWrnh2Px5Px3sMqeSV2sunZycYwUFEwuFwuOBwOVFRUYP/+/bJcmEr22kmltF0QBAwODmJiYgKHDh1CRUXFpmsTW5dPHf6i9PV9L30CtbW1ObTmYljy7LAodnIxCJTjOFgsFlgsFuzYsQORSETy+nR3dyMajWJoaAgVFRWw2+1pd9eXExYFGHAhjLXWgNdCIO/EDs/zirslsyF2RC/V2NgYBgcH0dTUhPr6etnWV7LXTrJCKhqNoqOjA16vFydPnkwq6Y3FGwCRG+553Tekr7+FH+EbHfegpqZG8SZ0G8GSwGDJFhEWBoFqtVpUVlaisrISgiDgueeeg9lsxvz8PAYGBqDX6yWvj9VqzYmHhVXPjtfrZUIMKkHeiR1AeVWcLc/O8PAwvF5vQkWSXCgdxtosnCg2CtTpdDh58mTSYQnWbt4EO3zi0vukr7/46qdQV1cHk8mU9c2VlXOURbGTC8/ORoieuPr6euh0OkSjUbjdbjidTvT29iISiSTk+qw1fkcJWPfsFCJ5JXZEJRyNRhV9ulM6N8jv9yMYDILjODQ3NysSI1U6jLXR2vGNAvfu3ZvSRc3iDYBgj881/3vC6//d8wVUVlYq3oWbwlgbw4JnJ57V88M0Gg3Ky8tRXl4OQRDg8/ngcrmwuLiIwcFBFBcXS14fm82mmPeFVc+Oz+cjzw4LZGOUA3DhggiFQoqsLQoBjUaDxsZGxZLBlPyc1hM7giBgfHwcg4ODUqPAdNYmiFT52P7PS1/f/6d/Rl1dHfR6vSLnEysCg0Wxw5pnZ6Pp4mI/GZPJhIaGBkSjUSwtLcHpdKK/vx/hcBg2my3B6yPX7xaLxXIajl0Pr9cLo9GYazMUIa/EDnBBiChdkaWEUBAEAWNjYxgaGsK+ffswOzur6FNitj07PM+ju7sb58+fzygsx9KNkshP7rz8Kwmvvz1wP0pLS2Xx+pBnZ2NY8+xsJHZWo9FoUFZWhrKyMgiCAL/fD5fLBafTieHhYRQVFSV4fTI5n1j17Pj9fhI7rJCNiiy5xU40GkVXVxeWlpZw+eWXw2q1YmFhgZn5W6myWuyEQiG0tbWB5/mMw3Is3SiJwuCje+6Uvv7qubtQV1eX0TnKisBgTewIgsCcZ0ecLp6qTRzHwWg0wmg0or6+XprJ6HQ6MTg4iGAwmOD1MRqNKR2D1Zwdn89HYocVstFrR06hICbqarVaNDc3Sy3OlfS8KL1+fPLz8vIy2traUFJSgoMHD2b8tMLiDYAoHD5z9EvS1/e+eDtqampSamjIksBgzYuyOj+GBeSq3FWr1ZJXB0CC12dkZARarVb6/5KSkk29Pix7diorK3NthiLkndjJJ8/O4uIiOjo61kzUzcb8LaU9OzMzM+ju7t60UWCqaxNbi+EHT2Ln7X/M+nHvff2DCa+/5vg8amtrN6wcpDDW+hSy2FmNwWCAwWBAXV2d5PVxuVwYHh5GIBCA1WqV5niZTKaL/k6senb8fn9BzsUC8lTsZMOzk8kxBEHAyMgIRkZGcODAAdTU1Kx5jGxMVlcCjuPg9/vR09ODyy67DOXl5bKuTRC54JOXfUH6+l9fvgN1dXVrzlxi5RxlTeywOr5CaVER7/XZvXs3AoGA5PUZHx9P+P+SkhJotVqmPTskdhiBdc9ONBpFZ2cnlpeXceLECVgsFtmPkQxKhbGi0ShGR0cRDodx6tQp2S8MFp92iK3H3ae+nvD6oa77pIGUrMCa2NlKnp2N0Ov1qK2tRW1tLXiex/LyMpxOJ0ZHR9Hd3Q2LxYJAIIBgMMjc3zAQCFDODitkw7OTrqDy+Xxoa2uDTqdDS0vLhu5wlUqFSCSSiZkbooSY8vl8aG1thVqthl6vV+QJgKUbJUGIfPzgPdLX971Uiu3bt8NoNOb0fGVto9yqnp2NUKlUKCkpQUlJCXbt2oVgMAiXy4WBgQGMjIxgfHxcSnK22+05nwnn9/vXfUDPd/JS7LDo2VlYWEBHRwfq6+uxe/fuTS+wbHh25BRT58+fR3t7O2pra1FeXo6uri7Z1o6HxA7BOvFjLADgW71fREVFheINDVfDWuWTKL5YsinXYmc1xcXFqKmpwcjICA4ePAjgQu+1iYkJ9Pb2wmw2S7k+Foslq5+lIAgIBoMUxmIFjUYDv9+v6DHUarVURrnZhSIIAoaHhzE6OoqDBw+iuro66WPkQ4JyfKPA/fv3o7a2FktLS4rmAxHpUfOCgJkr6PPLNrft+5z09Zf//FnU1tYq1tAwHhY9OyzZA7AndkR4nodGo4HJZILNZsPOnTsRCoWkXJ+pqSlwHCd5fEpLS7Pi9QkEAuTZYYVsDekENs+Yj0Qi6OzshMfjwcmTJ2E2m1M6BusJyvGNAo8fPw6bzQZA+YaFBJGvfPb4lxNef2fwy7Db7Yp4fVgTO6yVwgPsip219hadTofq6mpUV1eD53l4PB5J+IheHzHktVbivByQ2GGIbIWxgI1benu9XrS1tUGv16O5uTll1a1kabi4fiaCJBgMoq2tDQAuahRIYocgkuMjuz8rff1A67+gtrZWthExrIkdVj07rFU98TwPQRA2tEulUsFqtcJqtaKxsRHhcFjy+nR2dkIQhASvj9i/LVO7gsEgiR1WyEaCMsdxG4qR+fl5dHZ2oqGhAbt3707rAleyNBzITEwtLy+jtbUVpaWlOHDgwEUXpdI9fAiiEPn0kX+Tvr73xdtRV1cHm82W9jnPmtghz05yiPf9VERYUVERqqqqUFVVBUEQJK/PzMwM+vv7YTQaJa+P1WpN63f2+XwQBEHy4BcaeSl2lPbsAGuHmQRBwNDQEMbGxnDJJZegqqpK1vXlJF0xJTYK3LVrF7Zv377mzVS8kJS4kbB08yYIpVjd0PDr7XejpqYmJQ8xa2KHVc8OizYB6T/YcRwHi8UCi8WCHTt2IBKJSF6f7u5uxGKxBK9Psp7ElZUVACDPDivkSuxEIhG0t7fD7/ejubk544z1bIidVNYXBAEDAwOYnJzctFGgkmKHtacwgsgGdxz6V+nrL7zySdTV1cFsNm94PbAodli7flm0SZzXJZddWq0WlZWVqKyshCAI8Hq9cDqdmJubw8DAAAwGg+T12ciT6PF4oFKpCrbPDltnQRJkI4wFJHZR9ng8ePXVV8FxnCxCB2ArZycSieDcuXNYWFhAc3Pzph2R48WO3LB2YyKIbPP5lq/hfQ2fwN+WfAA3WG/B5OTkmvc81sQOq2Es1nJ2lBwVwXEczGYztm/fjqNHj+J1r3ud5P3p6enBiy++iI6ODkxNTSEQCCT8rMfjQXFxcUa2nTlzBtdddx1qamrAcRyeeuqpDd//s5/9DG9+85tRXl4Oi8WC5uZm/O53v0v7+BuRd56dbAwCFY8Ti8UwNzeHzs5ObN++Hbt27ZLt5sJKzo7YKFCv1+PkyZPrJmSvXhsgsUMQ2SC+oeGXXvsM6urqYDAYmBM7rIaMWLunZFOAabVaVFRUoKKiAoIgwOfzwel0YmFhAYODg9Dr9ejq6oLdbodOp4Ner8/ob+jz+XDo0CHccsstuOGGGzZ9/5kzZ/DmN78ZX/rSl2Cz2fCDH/wA1113HV577TUcPnw4bTvWIu/EjhjGUvpCV6lUmJqawtLSEg4dOoSKigpZ1xfFlFK/RzJianFxEe3t7aivr8eePXuStkOlUoHjOEXEDms3S4JgibtOfDXx9bP/iGg0mvWGhmvBqmeHhc8mnlwNAeU4DiaTCSaTCdu2bUM0GoXb7caTTz6Jn/70p3C73VCpVPjmN7+Jt771rdi9e3fKx7j22mtx7bXXJv3+Bx98MOH1l770Jfz85z/HL3/5S9nFDltnZhJoNBqp4Z9ShMNh+Hw+rKys4OTJk7ILHeAvmfhKlnCvt7YgCBgdHYXD4cD+/fuxd+/elEWGUuXnrN0sCYJlvvSm/8C7Sj+EG6y3YHBwEIFAQNF740aQZyc5WAmtaTQalJeX4ytf+QoGBgbwqU99CiaTCb/+9a9x8OBB7Nq1C7fddhuee+65rNkk9hey2+2yr82W5E0CUaXHYjFFTpiVlRW0tbVBpVKhvr5esdbZ4gWo1O+xXhgrFouhu7sbTqcTl19+OaxWa9rrk9ghCHb452P3S1/fc+bjqKmpQWlpadauKVY9O6zZlCvPzkaoVCrY7XbU1tbi97//PXw+H55//nn89re/xXPPPYerrroqK3b8+7//O7xeL971rnfJvnbeiR0xhBKNRmVvny2WXTc2NsLn88m69mqU9uyIIy/iw2QbNQpMFaXEDmtPhgSRj9z3hocSXj/Q+i+or69XdOQAeXaSgxXPzmo8Hg/0ej0AwGg04m1vexve9ra3Ze34jz76KO677z78/Oc/VySakndih+M42cu2eZ5Hf38/pqenpbLrnp4eRaulNmtcmCnxniONRoOlpSW0tbWhrKwM+/fvz/hiI88OQeQP8Q0N73vpE6itrc2ooeFakGcnOVj07AAXkosNBkNOjv3YY4/hAx/4AJ544glcffXVihwj78QOIG/5eTgchsPhQDgcRnNzs9RjIFszuJQ6RrznaHp6Gj09Pdi9eze2bdsmy9MXiR2CyE9WT23/Rsc9qKmpSaoScyPIs5McrHp2ciV2fvKTn+CWW27BY489pqgnKW/FjhwiYXl5GW1tbbDZbDhy5EhC1r5arUYoFMr4GBuRDc/OwMAA5ubmcPjwYZSVlcm6Pokdgsh/PnHpfdLXX3z1U6irq4PJZEr5WmRVWLBmE8uenUxzVL1eL4aGhqTXYiGM3W5HQ0MD7rzzTkxPT+ORRx4BcCF0dfPNN+Ohhx7CiRMnMDc3BwDQ6/Vp55OuR16KHTl67YjejvXGImTLs6NUzo74+TidzgSPlVxQzg5BFB6fa/73hNf/u+cLqKysTKp8m7W+PwCbYodVz47f7894VMTZs2cTkpnvuOMOAMDNN9+M06dPY3Z2FhMTE9L/f/e730U0GsWtt96KW2+9Vfq++H45yUuxk4lnh+d59PX1YXZ2dkNvRz6HsbxeL1pbW8FxHC699FJF2n+TZ4cgCp+P7f+89PX9f/pn1NXVQa/Xr3mdsiosWLOJZc9OTU1NRmtceeWVEARh3f9fLWCef/75jI6XCltK7IRCITgcDkSjUTQ3N28Yn8xXsSM2CmxoaMDk5KRiF5VSITgWbwIEQQB3Xv6VhNffHrgfpaWlkteHEpSTg8VGhwAQCAQKdi4WkMdiJ9UwlliNZLfbcfDgwU3diNkQO3IKBrFR4PDwMA4cOICamhrMzs4qmhNEnh2C2Lp8dM+d0tdfPXcXwuGwoqXt6cCi2InFYsx9TsCFMJZSfeVYIG/FTiqb+OTkJPr6+lKqRsqnnJ1YLIauri643e6ERoFKCRIl12Yt5k8QxOZ85uiXpK/vOfNx1NbWwm6351xosCh2WM7ZMZvNuTZDMfJS7CSboMzzPHp7ezE/P48jR46gtLQ06WPIVfG1EXIIqmAwiNbWVqhUKjQ3N0On08m6/nqQZ4cgiLVY3dDwa47Po7a2NifeDBbFDqs5O4FAgDw7rKHVahEOhzd8TzAYhMPhAM/zaG5uljpDJks+5OyIobny8nLs37//ogsoHz07CwsLsq9JEETu+ORlX5C+/teX70BdXR0sFoviG744Q5E1YaHUiKBMEAQBgUBA9nJvlshLsbOZSHC73XA4HBl1C2Y9Z2dqagq9vb3Ys2cPGhoa1gz/KNnHR+6yeUEQcJ3hHy68ePCkbOsSBMEOd5/6esLrBzvvRU1NjSIJu2JVEGtih9UwFnl2GGS9BGVBEDA5OYn+/n7s3bsX9fX1aeeAiJu5kr0j0hEM4miLmZmZTUNzSvbx4ThOtrVjsRj+2nSzLGsRBJE/3H7JvdLX//bHT6Ourg5Go1EWgSLen1gUO6zZBFyIhmTaZ4dlCkbsxGIx9PT0YHFxEceOHUNJSUlGxxCVtzhbSglS7dIcDofR3t6OUCi0aek8oGwYS61WIxKJZLxOKBTC39jeL4NFBEHkM/9y8oGE16k0NFwLVsUOizk7sVgMwWCQwlissTp5OBAIwOFwAABaWloymuYtIoqdaDSqqNhJNswkNgo0mUw4efJkUjaxnqC8srKC91T+o0wWEQRRSMQ3NPzynz+L2tradRsaroV472OtwpPFnB2v1wsA5NlhjfhN3OVyweFwoKKiYs0k3XRRqVTgOE7RvJ1kBcPCwgI6Ojqwbds27Nq1K+mLl+UE5dnZWXyw8dMyWkQQRKHy2eNfTni9uqHhWojhItbEDos5OysrKwAAm82WW0MUJC/FjkajQSQSwdjYGAYHB9HU1IT6+nrZj6N0kvJm6wuCgJGREYyMjODgwYOorq5OaX2lB42mI3YEQcDAwEBChQZBEEQqxDc0fKD1X1BbW3uRR5/V3BgW7fJ4PFCr1SlXLecTeS12RkdHZcnP2eg4uRI7sVgMnZ2dWFpawokTJ9JyL7IWxqJEZIIg5ObTR/5N+vreF29HXV0dbDYbk6JCLIdnzbPj8XhQXFzM3OclJ3krdgRBQHNzsyz5OeuRK89OIBBAW1sb1Gr1RY0CU0GlUsmSRLze2qmInUgkgndY3qeILQRBEABw7+sfTHj98V/czNQYC/F+z5qoEMVOIcPWJ54kYpxW6WFqSoudtQSD2+3Gq6++CovFguPHj6ctdMT1lfTsJLu2x+MhoUMQRNZ56H/9F/6u/CO4wXoLurq6sLy8rFgeYzKIx2bRs1PIISwgjz07gLJl4UD2PTvJNApMdf1cJyjPz8/j/ds/qYgNBEEQybK6oeFDXfehuro6qxPIWa0Q83g8MBgMzNklJ3kpdrJRKQVkT+zwPI++vj7Mzs6mPMNrI3KZoCwIAoaHhxOahhEEQbDCxw/eI339pdc+g9raWtkaGq6HmK/Dmqjw+Xzk2WGV9booy0k2xE40GsXZs2cRDoeTahSY6vq58OwkjH4gCIJgnLtOfDXh9cN9/4by8nLZvT4sNhQELvTZIbHDKPkylXwjAoEAeJ6HRqPBkSNHZL+wcuHZoURkgiDynVub/kX6+st//izq6+uh0+kyFiosVmIBFzw7RqMx12YoSt6KHdErkq/HmJ+fR0dHBwDg0KFDilwASnp21lrb5/PhxrIPK3I8giCIXLC6oeH/GfoKSktL0xI+rHp2fD6frFEFFmHvU0+SfPXsiLksHR0d2L9/PwDkPIlYjrUXFxdJ6BAEUfB8eNc/429LPoAbrLdgeHg4pfmGLHt2Cl3s5K1nJ1s5O3L2qYlGo+jq6pIaBZpMJnR2diIWi0Gr1cp2HBElw1jxU89HRkbwTwfuVuQ4BEEQrBLf0PC+lz6B2tpa2Gy2db03rHp2/H4/7HZ7rs1QlLwWO0p7duQ8RiAQQGtrKzQaDVpaWqQmV/GiQW6yEcZ6u/7/U2R9giCIfOKe130j4fXX2+9GbW1twoMsy56dhoaGXJuhKHktdvKlGkscVlpZWYl9+/YlKHvWRjokiyAI+NY7fqTI2gRBEPnOHYf+Vfr6C698EvX19YhGo0x6dgKBACUos4rSlVJyHWNychJ9fX3Yu3fvmspZyd9DqbUDgQDeVfoh2dclMqfmBQEzV7DVw4Mgtjqfb/lawutvdv8rqqqqstrQcCP8fj9MJlOuzVAUNj7pNNBqtQiHw4oeIxOxEN8o8OjRo+vGQ5X27AiCAEEQZGti5XK5cFPtP8myFkEQxFYkPsfx/j/9M+rq6qDX63Pm9fH7/TCbzTk5drbIW7Gj0WgQCAQUPUa6QiQcDsPhcCASiWzaKFDpiilAvrEaY2NjuG3f5zJehyAIgrjAnZd/JeH1twfuR2lpaVa9PoFAgMQOq2QrjJVqXpDH40FrayssFktSjQKVDmMBmZe2U0dkgiCI7PDRPXdKX3/13F2oq6tDUVGRYl4fQRAQDAZJ7LAKiwnKYqPAHTt2YOfOnUmFjpQOYwGZiZ1YLIa/Nt0sl0kEQRBEknzm6Jekr+8583HU1tbCbrfLLnwCgQAsFousa7JGXosdVhKUxUaBo6OjuPTSS1FZWSn7MdKB47iMeu0Eg0H8bckHZLaKIAiCSJX73vBQwuuvOT6P2tpaqY1JJpDYYZhseXZ4nt8wwTcajaKzsxMrKys4efJkyq5AJRv/ieun49lZWlrC/1d9mwIWEQRBEJnyycu+IH1930ufQH19PSwWS8pen2g0inA4TGKHVbKVswOsn+Dr9/vR1tYGrVaL5ubmtBS2ko3/xPVT/ZwmJycT4sYEQRAEu6xuaPhg572orq5OqjP/ysoKAMBqtSpiGyvkrdjJhmdHFDhriR2Xy4W2tjZUV1ejqakp7Riq0qItFc8OJSITBEHkP7dfcq/09Rdf/RTq6+thNBrX3Kc8Hg+Awhc77LVyTJJs5OxwHAeO4y46zsTEBM6dO4c9e/Zg//79GSWLZSOMlcz6sViMhA5BEESB8bnmf8fNdR+XhpdOT08nOApWVlag0WhQXFyc9jHOnDmD6667DjU1NeA4Dk899dSmP/P888/jyJEj0Ol02LVrF06fPp328ZMhrz07sVhM1oZ5q+E4LsHzwvM8ent7MT8/v2GjwFRQq9WKNkdMJkwWCoXwN7b3K2YDQRAEwQYf2/956euqvy/GG9/4Ruj1+oz2UZ/Ph0OHDuGWW27BDTfcsOn7R0dH8ba3vQ0f+chH8OMf/xjPPvssPvCBD6C6uhrXXHNN2nZsRF6LHUC+hnnrIYqdcDiMtrY2RKNRNDc3Q6/Xy7a+kjk7m4WxlpeX8fdVtyp2fIIgCIJN5n4cxKM//g1O4Bq8/e1vx0c/+lG89a1vTTlace211+Laa69N+v3f+c53sGPHDnztaxfGaOzbtw8vvfQSvvGNbygmdvI2jCUmD2ejIsvj8eCVV16BTqfDiRMnZBM64vq5CmPNzMyQ0CEIgiDw5z//Gddddx10Oh0uueQSPPjgg4od69VXX8XVV1+d8L1rrrkGr776qmLHzFuxo1KpFM93Af4Suqqvr8ehQ4dk9yIp/Tus5TkSBAF9fX340M7PKHZcgiAIIj/4fexxLCwswOl04nOf+1zSeTfpMjc3d1E/usrKSqysrCg2Bipvw1iAshVZgiBgaGgIwWAQ27Ztw86dOxU5TrY9O9QRmSAIghD5fexxKV/HbrfjnnvuwT333JNjq+Qn78WOEkIhvlGg1WqFyWSS/Rgi2eizI64fiUTwDsv7FDsWQRAEkT/EC51sUlVVhfn5+YTvzc/Pw2KxyJomEk/ehrGA9AZ1bobf78cf//hHaWK5TqdTPMyUjT47Ho+HhA5BEAQBIHdCBwCam5vx7LPPJnzvmWeeQXNzs2LHzGuxI7dnx+l04tVXX0VpaSmOHTuGoqIixcVINsTOysoK3l3xUcWOQRCZMvzgyVybQBBbhqcjj8kqdLxeLxwOBxwOB4ALpeUOhwMTExMAgDvvvBM33XST9P6PfOQjGBkZwWc+8xn09fXhP/7jP/D444/jE5/4hGw2rSbvw1hyeHYEQcDExAQGBgawb98+1NXVSf/HUofjVBEEAcvLy/i3Nz6syPoEQRBEfvF05DGpmlkuzp49i6uuukp6fccddwAAbr75Zpw+fRqzs7OS8AGAHTt24Ne//jU+8YlP4KGHHkJdXR2+973vKVZ2DhSA2MlUiPA8j56eHiwsLODYsWMoKSlJ+P989exQIjJBEAQRjxJCBwCuvPJKCIKw7v+v1R35yiuvRFtbm+y2rMeWFjuhUAgOhwOxWGzdRoEajQahUCgTMzdECbFDicgEQRBEPEoJnXwhr8VOJgnKKysraG1thc1mwyWXXLLuSZANz44gCOB5PqMZWyJerxd/V/4RGSwjCIIgCoHfhn+ypYUOkOdiR6PRpDVXanZ2Fl1dXdi5cyd27NixYaJWNnJ2AMgidhYWFnDLtjvkMIsgCIIoAH4TelTRkUr5Ql5/AhqNBn6/P+n3C4KAwcFBTExM4NChQ6ioqNj0Z7Lh2QEym/ElCAJGRkbw8YOF1wiKIAiCSI9fBX4ErVabazOYIO/FTrJCJBqNoqOjA16vFydPnky6UaASvXziUalU4DgubUElCAKuM/yDzFYRBEEQ+cwv/T+ETqfLtRnMkPdiJxkh4vf70draCp1Oh5MnT6KoqCjpYyjt2cnkGJSITBAEQazmF75HUFxcnGszmCLvxc5mIsHpdMLhcKCmpgZ79+5NOS8mW2In1V47fr8f7yr9kEIWEQRBEPnIkys/UGzkQj6T92JnPc+OIAgYHx/H4ODgRY0CUz2G0mIn1cnn58+fx3vrb1fOIIIgCCLv+OnS9xWd5ZjP5LXYWc/rIjYKXFxcXLNRoBzHkJNUjjE6OoqP7f+8ovYQBEEQ+cXjzu/CYrHk2gxmyWuxs5bXJRQKoa2tDTzPo7m5OeO4pShEBEFQbGhaMmKHEpEJgiCItXhs8TsZPdRvBfJ+EGh8GGt5eRmvvvoq9Ho9Tpw4IUuCllgartT8KmDz+VixWIyEDkEQBHERn/rtB2QVOvfffz+OHz8Os9mMiooKXH/99ejv79/055544gk0NTWhuLgYl1xyCX7zm98k/L8gCLj77rtRXV0NvV6Pq6++GoODg7LZvRl5L3Z4ngfP85idncWf/vQnNDQ04NJLL5WtW2R8Hxyl2MizEwgEaMYVQRAEcRGG68K48cYbUVNTg1tuuQU//elPEQgEMlrzhRdewK233oo//vGPeOaZZxCJRPCWt7wFPp9v3Z955ZVX8O53vxvvf//70dbWhuuvvx7XX389urq6pPd89atfxTe/+U185zvfwWuvvQaj0YhrrrkGwWAwI3uThRM2mt7FONFoFL/+9a+xbds2TE9P49ChQygvL5f1GIIg4He/+x3e8IY3wGAwyLq2SFtbG0pKSrB9+/aE77tcLtxU+0+KHJNlhh88mWsT8o6aF/5yGc9coUy4VWl23v7HXJtAEHnDf45/HfX19YhEInjllVfw61//Gr/5zW/w7LPPorKyUrbjLC4uoqKiAi+88ALe8IY3rPmeG2+8ET6fD7/61a+k7508eRKXXXYZvvOd70AQBNTU1OCTn/wkPvWpTwG4EImprKzE6dOn8Xd/93ey2bseee3ZEb0uCwsLOHnypOxCBwA4jsvJ5POJiYktKXQA2vQIgiA24nuj/476+noAgFarxRVXXIGvfvWr6OrqklXoABdECQDY7fZ13/Pqq6/i6quvTvjeNddcg1dffRXAhcKaubm5hPdYrVacOHFCeo/S5HWCMsdxUKlUOHTokKLldtmYjyXm7FAiMkEQBLEe3xn8MrZt25aVY/E8j9tvvx2nTp3CwYMH133f3NzcRSKrsrISc3Nz0v+L31vvPUqT12IHuKBqlaqSEsmWZycWi1F+DkEQBLEm/7vnC9i5c2fWjnfrrbeiq6sLL730UtaOqRR5HcYCkh8ZkQnZEDuhUIiEDkEQBLEm3+i4B01NTVk73m233YZf/epXeO655zZtyltVVYX5+fmE783Pz6Oqqkr6f/F7671HafJe7LDW9C8dwuEw/uXkA4qtTxAEQeQvD7T+y4ZhJDkRBAG33XYbnnzySfzhD3/Ajh07Nv2Z5uZmPPvsswnfe+aZZ9Dc3AwA2LFjB6qqqhLes7Kygtdee016j9LkfRgrG54dJUdGTE1N4bPHv6zI2gRBEER+c/+f/hmXXXZZ1o5366234tFHH8XPf/5zmM1mKafGarVKM7duuukm1NbW4v777wcAfPzjH8cVV1yBr33ta3jb296Gxx57DGfPnsV3v/tdABfya2+//XZ88YtfxO7du7Fjxw58/vOfR01NDa6//vqs/F4kdpJACc8OJSITBEEQG/GFVz6JY8eOZfWY3/72twEAV155ZcL3f/CDH+C9730vgAvVwvFDtVtaWvDoo4/ic5/7HO666y7s3r0bTz31VII36jOf+Qx8Ph8+9KEPYWlpCa973evw9NNPZ206e1732QGAP//5zzCbzUm52tKlvb0dZrMZjY2NsqxHicibQ712UiO+zw6Qn712qOUAQfyFu1/4J7z+9a/PtRkFA+XsZPkYlIhMEARBbMSd//NREjoyk/diJ1thLDmOsbKygr+xvV8Giwii8Ai840SuTSCInPOp334Ab3zjG3NtRsFREGInHzw7s7OzeE/lP8pkEUEUJiR4iK3Mx39xM6655ppcm1GQkNhJgkzEjiAI6O/vxwcbPy2zVQRReOiffC3XJhBETvjof78bb3/723NtRsFC1VhJkK7YoURkgkgeEjrEVuUDP/lb3HDDDbk2o6Ahz04SpCN2IpEICR2CSBKqxCK2Kjf91//CjTfemGszCp6CEDuseXY8Hg/eYXmfghYRROFAQofYqrz7e9fiH/6B+q1lg4IQO0p7dlI5xvz8PN5d8VFF7SGIQoGEDrGVueWWW3JtwpYh78WOXGXhmx1jM7EjCAKGhobw/u2fVNQWgigUSOgQW5nfxx6Xdb0zZ87guuuuQ01NDTiOw1NPPbXh+9/73veC47iL/h04cEB6z7333nvR/2dzGKmc5L3YYSFnRxz9cPsl9ypqB0EUCiR0iK2M+i0ePPzwwxgfH5dtTZ/Ph0OHDuHhhx9O6v0PPfQQZmdnpX+Tk5Ow2+145zvfmfC+AwcOJLzvpZdeks3mbELVWEmwkdiJRCKUn0MQKUBCh9jKPNz3b/j1r3+NJ598Ep/4xCfQ1NSEn/3sZ9i9e3dG61577bW49tprk36/1WqF1WqVXj/11FNwu9143/sS9zONRoOqqqqMbGOBghA7giCA5/mEwWRyIoodQRDAcX+ZOeTz+XBj2YcVOSZBFCIkdIitzO9jj4PjOOzZswef+MQnsLS0hN/97neor6/PtWn4/ve/j6uvvhrbtm1L+P7g4CBqampQXFyM5uZm3H///WhoaMiRlemT92EstVoNAIp6d9RqNQRBQPzM1MXFRRI6BJECJHSIrYwodOKx2Wy48cYbszb5ez1mZmbw29/+Fh/4wAcSvn/ixAmcPn0aTz/9NL797W9jdHQUr3/96+HxeHJkafrkvWdHFDtK5u3EC6qioiKMjIzgnw7crdjxCKLQIKFDbGXWEjos8V//9V+w2Wy4/vrrE74fHxa79NJLceLECWzbtg2PP/443v/+/JrzmPdih+M4xfN24sXODVYqFSSIVCChQ2xlWBc6giDgP//zP/EP//APKCoq2vC9NpsNe/bswdDQUJask4+8D2MB8gzq3Aix5O5dpR9S7BgEUWjsvP2PJHSILQ3rQgcAXnjhhQttU5Lw1Hi9XgwPD6O6ujoLlslLQYgdpT07gUAA//v6Hyq2PkEUGiRyiK3O05HHsip0vF4vHA4HHA4HAGB0dBQOhwMTExMAgDvvvBM33XTTRT/3/e9/HydOnMDBgwcv+r9PfepTeOGFFzA2NoZXXnkF73jHO6BWq/Hud79b0d9FCfI+jAUo22vH5XLhptp/UmRtgihESOgQW52nI49J6Q/Z4uzZs7jqqquk13fccQcA4Oabb8bp06cxOzsrCR+R5eVl/PSnP8VDDz205ppTU1N497vfDafTifLycrzuda/DH//4R5SXlyv3iygEJ8SXGOUpL730EmpqalBbWyvrumNjY7ht3+dkXZPYnMA7TmDmCrZdv6xR80LiZZyrz4+EDrHVyYXQITaHPDtrIHZEJrJP4B0nAFzYvEnw5BckdIitzm/DPyGhwyiUs7OKWCxGQidHiEKHyD9I6BBbnd+EHoVGUxD+g4KkIMSOXNVYwWAQf226WQaLiHTQP/lark0g0oCEDrHV+VXgR9Bqtbk2g9iAgpChcnh2KBGZDRIEzxUnc2cIkRQkdIitzi/9P4ROp8u1GcQmFIzYCYfDaf/85OQkPrrnThktIuQgfiMdfpCED2uQ0CG2Or/wPZLzUQ9EchSM2EknjEWJyPnD6o2VxE9uIaFDbHWe8pyGXq/PtRlEkhSM2Ek1jBWLxSg/J48hr0/uIKFDbHV+uvR9GI3GXJtBpEDBiJ1UPDuhUAh/Y8uvIWbE+pDwyR4kdIitzuPO78JiseTaDCJFCkLsqNXqpD07y8vL+PuqWxW2iMgVJHyUg4QOsdV5bPE7KCkpybUZRBoUROl5sp6dmZkZEjpbCHEQJW3SmUGfIUEAP557GKWlpbKueebMGVx33XWoqakBx3F46qmnNnz/888/Lw2mjv83NzeX8L6HH34Y27dvR3FxMU6cOIE//elPstqdjxSM2NnIsyMIAvr6+vChnZ/JolUES5DwSQ/6vAgCeNXwW/zjP/4jHnnkEZw/f162dX0+Hw4dOoSHH344pZ/r7+/H7Oys9K+iokL6v//7f/8v7rjjDtxzzz1obW3FoUOHcM0112BhYUE2u/ORgpiNtbKyghdffBFXX331Rf9HicjERhRKqEuJ2VgkdAgC+P7Y1+ByufCLX/wCv/zlL9HW1oYbbrgBjz/+uKzH4TgOTz75JK6//vp13/P888/jqquugtvths1mW/M9J06cwPHjx/Gtb30LAMDzPOrr6/Gxj30Mn/3sZ2W1OZ8oiJwd0bMjCAI47i83+UgkgndY3pdDywjWoZL2tSGhQxDA90b/HQ0NDWhoaMBll12Gu+++GzMzMxgaGsqpXZdddhlCoRAOHjyIe++9F6dOnQIAhMNhnDt3Dnfe+Ze+cSqVCldffTVeffXVXJnLBAUjdoALClYcwubxePDuio/m0iwiD6EEZxI6BAEA3xn8MrZt23bR92tqalBTU5MDi4Dq6mp85zvfwbFjxxAKhfC9730PV155JV577TUcOXIE58+fRywWQ2VlZcLPVVZWoq+vLyc2s0JBiB1R4ESjUajVaszOzuKDjZ/OsVVEvrMVhQ8JHYIAvtX7RezcuTPXZlzE3r17sXfvXul1S0sLhoeH8Y1vfAM//OEPc2gZ+xSM2OE4DtFoFMPDw/jM0S/l2iSiwNgKwoeEDkEAD3bemyAoWOfyyy/HSy+9BAAoKyuDWq3G/Px8wnvm5+dRVVWVC/OYoSDEDnAhLnlj2YdzbQaxBShE4UNChyCAB1r/BQcOHMi1GSnhcDhQXV0NACgqKsLRo0fx7LPPSonOPM/j2WefxW233ZZDK3NPQYidcDiMh/7Xf+XaDGILUgjCh4QOQQD3/+mfcdlll2X1mF6vNyHZeXR0FA6HA3a7HQ0NDbjzzjsxPT2NRx55BADw4IMPYseOHThw4ACCwSC+973v4Q9/+AN+//vfS2vccccduPnmm3Hs2DFcfvnlePDBB+Hz+fC+923tYp28Fzsulwt/8zd/Aw3Kcm0KscXJx8ouEjoEAXzhlU/i2LFjWT/u2bNncdVVV0mv77jjDgDAzTffjNOnT2N2dhYTExPS/4fDYXzyk5/E9PQ0DAYDLr30UvzP//xPwho33ngjFhcXcffdd2Nubg6XXXYZnn766YuSlrcaed1np7+/H29/+9tx8OBB/PCHP4TRaITD4aCcHYI5lBY+6fTZIaFDEMA9Zz6O173udbk2g1CYvBU7fr8fO3fuxHvf+17827/9G1SqxGbQgiCgu7sbn7j0vhxZSBBro4TwWS12gI0FDwkdggDu/J+P4o1vfGOuzSCyQN6KHQAYGxvD9u3bN32fIAgYHBzEj370I7z6xV7lDSOIJJFL+CQrdkjkEMQFPv30B/GWt7wl12YQWSKvxU46CIKAsbEx/OhHP8KZezpybQ5BSGQifJIROyR0COICt//yvXjb296WazOILLLlxE48giBgZmYGP/zhD/HsXedybQ5BSKQqfDYTOyR0COIC//jT9+Ad73hHrs0gssyWFjvxCIKAhYUF/PjHP8ZvP7W1Z4gQbJGM8NlI7JDQIYgLfOAnf4sbb7wx12YQOYDEzjo4nU48+uij+MXHz+TaFIJIYC3xs57YIaFDEBe46b/+F/7hH/4h12YQOYLEThK43W48/vjj+O+P/k+uTSGIBEThs5bY0T/5WrbNIQgmeff3rsUtt9ySazOIHEJiJ0U8Hg/++7//G4++/ze5NoUgEgi844T0NQkdgvgLz/BP5NoEIseQ2MkAv9+PJ598Eqf/4alcm0IQBEGswe9jj4PjNm+ySRQ2qs3fQqyHwWDA3//93+MZ/gn8KvAjfOj/vivXJhEEQRD/DyWEzpkzZ3DdddehpqYGHMfhqaee2vD9P/vZz/DmN78Z5eXlsFgsaG5uxu9+97uE99x7773gOC7hX1NTk6x2b3VI7MiETqfDO9/5Tvxw5n9j6egYZvdT80KCIIhc8b4fvQPLy8uyr+vz+XDo0CE8/PDDSb3/zJkzePOb34zf/OY3OHfuHK666ipcd911aGtrS3jfgQMHMDs7K/176aWXZLd9K0NhLBnp6urC2972NrzhDW/A9773Peh0OkSjUfz+97/HN97+g1ybRxAEsSU4+S9N+MUvfoGenh5cccUV+Ou//mt86EMfgk6nk/U4HMfhySefxPXXX5/Szx04cAA33ngj7r77bgAXPDtPPfUUHA6HrPYRf4E8OzIhCAI+/OEP45ZbbsEjjzwiXVQajQZvfetb8Qz/BJ6OPIZ//v2Hc2wpQRBE4fL72OP4whe+gPb2dgwMDOC6667Dc889B41Gk2vTAAA8z8Pj8cButyd8f3BwEDU1NWhsbMTf//3fJ0w7JzKHPDsyEggEoNfrk3pvLBbDK6+8gn+94psKW0UQBLE1yHYycjqena9+9av48pe/jL6+PlRUVAAAfvvb38Lr9WLv3r2YnZ3Ffffdh+npaXR1dcFsNitk/daCxA4DCIKA1157DZ9v+VquTSEIgshLclF1larYefTRR/HBD34QP//5z3H11Vev+76lpSVs27YNX//61/H+979fJmu3Nmz49bY4HMfh5MmTeIZ/AoIgwOFw4DNHv5RrswiCIPKCfCgvf+yxx/CBD3wATzzxxIZCBwBsNhv27NmDoaGhLFlX+FDODmNwHIfDhw/jGf4J/D72OL7RcU+uTSIIgmCWpyOPMS90fvKTn+B973sffvKTnyQ1bd3r9WJ4eBjV1dVZsG5rQJ4dhuE4DgcPHpQ8PgMDA/jRj36EP/5bX65NIwiCyDlPRx6DWq3O6jG9Xm+Cx2V0dBQOhwN2ux0NDQ248847MT09jUceeQTAhdDVzTffjIceeggnTpzA3NwcAECv18NqtQIAPvWpT+G6667Dtm3bMDMzg3vuuQdqtRrvfve7s/q7FTKUs5OHCIKA0dFR/OhHP8KL93bm2hyCIIiskwuhAwDPP/88rrrqqou+f/PNN+P06dN473vfi7GxMTz//PMAgCuvvBIvvPDCuu8HgL/7u7/Dmf9/e3ce1sTZ9Q/8O0Zl0apQZbOKKApuEAoSwb0iYK0Fn6pAbVnq8riLqFh9FajYFxe0VFFxgQewApKq+LpFUhSpslhRWq3LpRSlWkKxFTVU1Cbz+4OfU/OwI2QCOZ/ryoVMzsyckUtzuOee+2Rl4Y8//kCPHj0wcuRIfPnll+jXr19LXopWoWKnlWNZFvfv38c333yDM/9zme90CCGkxZ16kawxj5KT1oGKnTaEZVmUlpbiwIEDkKzI5TsdQghpdlTokKZQ+wTlHTt2oE+fPtDV1YVIJMLFixfrjBeLxbC2toauri6GDh2KkydVu42zLIuQkBCYmppCT08PLi4uuH37dktegsZiGAYmJiZYtmwZpEoxkn/fhclRo/hOixBCmsXJ50lU6JAmUWuxc/DgQQQFBSE0NBSXL1+Gra0t3Nzc8Pvvv9cYn52dDR8fH8ycORNXrlyBp6cnPD09ce3aNS5m06ZN2LZtG2JiYpCXl4dOnTrBzc0NlZWV6rosjdW9e3csXrwYcw5OR7beSfTw7sB3SoQQ0iTH/tqPDh3o/zDSNGq9jSUSiTBs2DBER0cDqFo2u1evXli0aBE+//zzavFeXl6oqKjA8ePHuW3Dhw+HUChETEwMWJaFmZkZli1bhuXLlwMAHj9+DGNjY8THx8Pb21s9F6ahWJbFV199hdDQUCQnJ+ODDz4AADx9+hRisRjJs07xnCEhhNTv/yoSG7w6PSE1UdvIzosXL5Cfn6+ymFK7du3g4uKCnJycGvfJycmptviSm5sbF19UVASZTKYS07VrV4hEolqPqU1u3bqFrVu34uzZs1yhAwBvvfUWPvvsM0iVYhyVJ8A34UMesySEkNqlPY2nQoe8MbUVOw8fPoRCoYCxsbHKdmNjY27dgf8mk8nqjH/1tTHH1CbW1ta4c+cOHBwcao3R19fHp59+CqlSjGN/7cfslGlqzJAQQmp3qDwWnTp14jsN0gbQCsptnK6ubqNip0+fDqlSjJPPkzD/0MctmBkhhNRO/OdedOnShe80SBuhtmKne/fuEAgEKC0tVdleWloKExOTGvcxMTGpM/7V18YckzRMhw4dMGXKFEiVYpx6kYzAY/58p0QI0RIpZTHo1q0b32mQNkRtxU7Hjh1hb2+PjIwMbptSqURGRgacnJxq3MfJyUklHgCkUikXb2FhARMTE5WYJ0+eIC8vr9ZjksZr3749Jk2aBKlSDMnLFASfnsN3SoSQNuqAbAfefvttvtMgbYxaFywICgqCn58fHBwc4OjoiKioKFRUVCAgIAAA4Ovri549eyIiIgIAsGTJEowZMwZbtmzBpEmTkJKSgkuXLmHPnj0AqtaVCQwMxPr169G/f39YWFhg7dq1MDMzg6enpzovTWsIBAJMmDABE5QToFAocOHCBYSP3c53WoSQNiDxwTYYGRnxnQZpg9Q6Z8fLywuRkZEICQmBUChEQUEBJBIJN8G4uLgYJSUlXLyzszOSkpKwZ88e2Nra4ttvv0VaWhqGDBnCxQQHB2PRokWYM2cOhg0bBrlcDolE0qi5KqRpBAIBRo8ezXVoD89exndKhJBWKu7e1hbp8p2VlYXJkyfDzMwMDMMgLS2t3n0yMzPx7rvvQkdHB5aWllwPq9c1doFcwi9qF0GaHcuyuHz5Mj4ftoHvVAghrcAz5xJ4e3vDw8MDvXr1atZjnzp1ChcuXIC9vT3+9a9/4ciRI3WO/BcVFWHIkCGYO3cuZs2ahYyMDAQGBuLEiRNwc3MDULVArq+vL2JiYiASiRAVFQWxWIxbt27RyJSGomKHtCiWZXHt2jUE2a7jOxVCiAZam7kIBQUFSEtLw/fffw9bW1v4+flh0aJFzX4uhmHqLXZWrlyJEydOqKzU7+3tjfLyckgkEgCNXyCX8E/rHz1vzFDk3r17MWrUKBgYGMDAwAAuLi7V4v39/cEwjMrL3d29pS9DYzEMg6FDh3K3uqJvrOc7JUKIhoi+sR6jR4/G4sWLcebMGZSWlmLJkiUQCAS85VTfYrZNWSCX8E+ri53G9urKzMyEj48Pzp49i5ycHPTq1Quurq548OCBSpy7uztKSkq4V3JysjouR+MxDAMrKytIlWJs/TEE14zP40+7X/hOixDCg6irYbCyslLZZmhoiE8//RTz58/nKavaF7N98uQJnj171qQFcgn/tLrY2bp1K2bPno2AgAAMGjQIMTEx0NfXR1xcXI3xBw4cwPz58yEUCmFtbY19+/Zxj8+/TkdHByYmJtzLwMBAHZfTanz//fcYPXo05s6di0uXLiFdkYrYu1swbr0d36kRQtQg8soaDB48mO80iBbR2mKnOYYi//rrL7x8+RKGhoYq2zMzM2FkZAQrKyvMmzcPf/zxR7Pm3po9fPgQkydPxoYNGxAaGsrd6uvduzdWr16NdEUqEh9sg9smEd+pEkJawIYfPoetrS3fadSqtsVsu3TpAj09vSYtkEv4p7XFTnMMRa5cuRJmZmYqBZO7uzsSExORkZGBjRs34ty5c5g4cSIUCkWz5t9ade/eHdeuXcO///3vGt9nGAampqZYvnw50hWpSCrdiclRo9ScJSGkJYRnL4O9vT3fadSpvsVsm7JALuGfWhcVbEs2bNiAlJQUZGZmqqzp4+3tzf156NChsLGxQb9+/ZCZmYnx48fzkarGeeeddxoUxzAMevTogcWLF2Px4sV49OgRUlJScHjBmRbOkBDS3EKzlmD48OFqP69cLsedO3e474uKilBQUABDQ0P07t0bq1atwoMHD5CYmAgAmDt3LqKjoxEcHIzPPvsMZ86cQWpqKk6cOMEdo74Fconm0dqRnTcZioyMjMSGDRuQnp4OGxubOmP79u2L7t27q/xjI01jYGCAefPmQaoU41B5LLz3au9TboS0Jqu+m4eRI0fycu5Lly7Bzs4OdnZVcwKDgoJgZ2eHkJAQAEBJSQmKi4u5eAsLC5w4cQJSqRS2trbYsmUL9u3bx62xA9S/QC7RPFq9zo5IJIKjoyO2b69qd6BUKtG7d28sXLiw1rUSNm3ahC+//BKnT59u0G8p9+/fR+/evZGWloYPP/ywWfMnVeRyOQ4fPoz9/sf4ToUQ8l9WSGbD1dWV7zSIltPqYufgwYPw8/PD7t27uaHI1NRU3Lx5E8bGxtV6dW3cuBEhISFISkrCiBEjuON07twZnTt3hlwuxxdffIGPPvoIJiYmKCwsRHBwMJ4+fYqrV69CR0eHr0vVGpWVlTh69Cj2+XzLdyqEaL3AY/6YNGkS32kQot3FDgBER0dj8+bNkMlkEAqF2LZtG0SiqieBxo4diz59+nB9Ufr06YN79+5VO0ZoaCjCwsLw7NkzeHp64sqVKygvL4eZmRlcXV0RHh5Ow5s8ePnyJY4dO4ZdU2mdI0LUbcHhGdSQmWgMrS92iHb4+++/cfr0aURNjuc7FULavNkp0zB9+nS+0yCEo7UTlIl2ad++PSZNmgSpUgzJyxQEn57Dd0qEtEn++z2p0Pn/3nnnHezcuVNlW3Z2NvT19Wu8S0BaDhU7Gqgx/bri4+Or9eJ6/VF4oKoZZ0hICExNTaGnpwcXFxfcvn27pS9DYwkEAkyYMIErfNacXch3SoS0CR/Hvo8ZM2bwnYbGEIlE+OGHH7jvWZZFYGAgli5dCnNzcx4z0z5U7GiYxvbrAoAuXbqo9OL6798YNm3ahG3btiEmJgZ5eXno1KkT3NzcUFlZ2dKXo/EEAgHGjBkDqVKM038fxNRdLvXvRAipEa0zo2r48OEqxc7+/fvx66+/YtWqVTxmpZ2o2NEwje3XBVQtvvd6L67XJ0OzLIuoqCisWbMGHh4esLGxQWJiIn777TekpaWp4YpaD4lEgmXLluGjneORrkhFxMWVfKdESKuRrkjlOwWNM3z4cNy4cQNyuRwVFRVYvXo11q9fj86dO/OdmtahYkeDNLVfl1wuh7m5OXr16gUPDw/8/PPP3HtFRUWQyWQqx+zatStEIlGDe4BpgyNHjmDatGmIi4vD3LlzwTAMHBwcIFWKka5IxZaCtXynSIjGSlekgmEYvtPQOPb29mjXrh0uX76MjRs3okePHjT6xRNqF6FB6urXdfPmzRr3sbKyQlxcHGxsbPD48WNERkbC2dkZP//8M9555x2uz9eb9ADTBra2tkhLS8OECROqvccwDGxsbCBVisGyLG7duoVFg6j4IQSgQqcu+vr6GDp0KA4dOoS9e/fi5MmTaNeOxhj4QMVOK+fk5KTSfM7Z2RkDBw7E7t27ER4ezmNmrUvfvn3Rt2/feuMYhoG1tTVX+Pzyyy/Yv38/Lqz7ud59CWlrqNCp3/Dhw7F9+3Z4eHhg7NixfKejtajE1CBv0q/rlQ4dOsDOzo7rxfVqvzc5JqkZwzDo168fwsLCkK5Ixb6iSIwNF/KdFiFq0ZKFTmOeSB07dmy1J1IZhlFZudnf37/a++7u6umtZ2triw4dOmDz5s1qOR+pGRU7GqRjx46wt7dHRkYGt02pVCIjI0Nl9KYuCoUCV69ehampKYCqpnYmJiYqx3zy5Any8vIafExSP4ZhYG5ujv/5n/9BuiIVCfe/hutGR77TIqRFbMpf3WLHbuwTqYcPH1Z5GvXatWsQCASYNm2aSpy7u7tKXHKyelZWT0lJwcKFC2FpaamW85Ga0QrKGqax/brWrVuH4cOHw9LSEuXl5di8eTPS0tKQn5+PQYMGAajq6bVhwwYkJCTAwsICa9euxU8//YTr169XW5OHNC+WZVFWVobk5GQcX3qe73QIeWMGUxmcPHkSPXr0wJQpUzBlyhQ4OztDIBA0y/FFIhGGDRuG6OhoAFW/8PXq1QuLFi2qtUHz66KiohASEoKSkhJ06tQJQNXITnl5udqeQFUqlSgrK0NsbCx27tyJ69evo0uXLmo5N6kZzdnRMF5eXigrK0NISAjXr0sikXATjIuLi1UmuD169AizZ8+GTCaDgYEB7O3tkZ2dzRU6ABAcHIyKigrMmTMH5eXlGDlyJCQSCRU6asAwDIyMjLBkyRIsWbIEf/75Jw4ePIjDC87wnRohjfbq1lVlZSW+++47HDlyBJ988gmuX7/OFRZv4tUTqa+vQ9OQJ1JfFxsbC29v72r5ZGZmwsjICAYGBnjvvfewfv16vP3222+cc02ysrLw3nvvwdraGocOHaJCRwPQyA4hPHny5AlSU1NxcM5pvlMhpF6Slyk1jt6wLNtsc3d+++039OzZE9nZ2Sq32YODg3Hu3Dnk5eXVuf/FixchEomQl5cHR8d/biOnpKRAX18fFhYWKCwsxOrVq9G5c2fk5OQ024gU0Ww0skMIT7p06YJZs2Zh1qxZkMvlOHz4MPb7H+M7LUKqqa3QAaBRT2PFxsZi6NChKoUOAHh7e3N/Hjp0KGxsbNCvXz9kZmZi/Pjx6k6T8IAmKJMGaUtPR2iizp07w9fXF1KlGMf+2o/PDvyL75QIAVB3odPc3uSJ1IqKCqSkpGDmzJn1nqdv377o3r0799Qqafuo2CH1amtPR2g6XV1d+Pj4QKoU40TlAcwVe9e/EyEt4NSLZLXe5nmTJ1LFYjGeP3+OTz75pN7z3L9/H3/88Qf31Cpp+6jYIfVqbL8uQ0NDlV5dUqkU+vr61YodHR0dlTgDAwN1XE6r0rFjR3z44Yfo7tUevw64ihlxk+rfiZBmcOpFMtq3V/9Mh6CgIOzduxcJCQm4ceMG5s2bh4qKCq7Ngq+vb42NNGNjY+Hp6Vlt0rFcLseKFSuQm5uLu3fvIiMjAx4eHrC0tISbm5taronwj+bskDq1lacjWqvKykpMnz4dxcXFyMrKgpGREfz9/aFQKJCRkYHN7nv5TpG0QSefJ/FS6ACNfyIVAG7duoXz588jPT292vEEAgF++uknJCQkoLy8HGZmZnB1dUV4eDh0dHTUck2Ef/Q0FqkTPR3Br1OnTmH9+vU4fvx4rSNfCoUCWVlZ+N/xO9WcHWmLjv21n5alIG0OjeyQFkVPR7yZiRMnwtXVtc4CUCAQYNy4cRinHAeFQoHc3FyEjYpSX5Kkzfi/ikQqdEibRHN2SJ3o6Qj+NWakSyAQYMSIEZAqxUhXpCLi4soWzIy0JWlP46Gnp8d3GoS0CCp2SJ3o6YjWi2EYODg4cIVP5JU1fKdENNSh8thmWQGZEE1Fc3ZIvRrbr+uVUaNGoWfPnkhJSVHZLpfL8cUXX+Cjjz6CiYkJCgsLERwcjKdPn+Lq1as0abCFsSyLmzdvYvHgEL5TIRpA/OdedOvWje80CGlRNGeH1IuejmhbGIbBwIEDIVWKwbIsCgsLsX//fmSHX+c7NaJmBx/upkKHaAUa2SGEAKga8bl37x4OHDiAzLUFfKdDWtgB2Q4YGRnxnQYhakHFDiGkGpZlUVJSggMHDiB9Ze2tQUjrlPhgG82PI1qFih1CSJ1YlkVZWRmSkpJwIugC3+mQNxT/axR69uzJdxqEqBU9jUVapaysLEyePBlmZmZgGAZpaWn17pOZmYl3330XOjo6sLS0RHx8fLWYxjQ81RYMw8DIyAiBgYGQKsU4+HA3pkSP4zst0gT7iiKp0CFaiYod0ipVVFTA1tYWO3bsaFB8UVERJk2ahHHjxqGgoACBgYGYNWsWTp8+zcU0tuGptjI0NMT8+fMhVYrx7aN9MJxG/420BjG3N8Dc3JzvNAjhBf0vRVqliRMnYv369ZgyZUqD4mNiYmBhYYEtW7Zg4MCBWLhwIaZOnYqvvvqKi2lsw1NS9fcqlUoRcXEljjz5Dz75zwd8p0RqEH1jPfr169dix2/MiGh8fDwYhlF5/feqzSzLIiQkBKamptDT04OLiwtu377dYvmTto+KHaIVcnJy4OLiorLNzc2Na2b6quHp6zGNbXiqbcLDwxEZGYkzZ87AwcEBnTt3hp+fH6RKMY7KExDwTcMKUdKyoq6GwcrKqsWO35QR0S5duqCkpIR73bt3T+X9TZs2Ydu2bYiJiUFeXh46deoENzc3VFZWtth1kLaNih2iFWQyGbcu0CvGxsZ48uQJnj17hocPH0KhUNQYI5PJ1Jlqq/HOO+/g7NmzEAqF1d7T19fHxx9/DKlSjOPPvsFcsXf1A5AWpzupEoWFhXj27FmLnaMpI6IMw8DExIR7vf7vjmVZREVFYc2aNfDw8ICNjQ0SExPx22+/NWhuHiE1oWKHENIkAQEBGDJkSL1xOjo6+OijjyBVinHyeRIWH/VVQ3ZkRtwkWFtbY+nSpejRowemT58OsVjcrOdo6oioXC6Hubk5evXqBQ8PD/z888/ce0VFRZDJZCrH7Nq1K0QiEY2ykiajYodoBRMTkxqbmXbp0gV6enpv1PCUNFyHDh0wefJkSJVinHqRjOWnZvGdUpu0Pmc5/P39sXnzZty5cwcXLlzAwIEDVSbkN4emjIhaWVkhLi4OR48exTfffAOlUglnZ2fcv38fALj9aJSVNCdqF0G0gpOTE06ePKmyTSqVcs1MX2946unpCeCfhqcLFy5Ud7paoX379nBzc4Ob0g0KhQLnzp1DhMsuvtNq9cK+D4RIJOK+ZxgGtra2sLW15TGrfzg5Oak0EXZ2dsbAgQOxe/duhIeH85gZactoZIe0SnK5HAUFBSgoKABQNfRdUFCA4uJiAMCqVavg6/vP7ZK5c+fil19+QXBwMG7evImdO3ciNTUVS5cu5WKCgoKwd+9eJCQk4MaNG5g3bx4qKioQEBCg1mvTRgKBAO+99x6kSjEkL1MQ9n0g3ym1Sqsz5mPEiBFqO19zjIh26NABdnZ2uHPnDgBw+9EoK2lOVOyQVunSpUuws7ODnZ0dgKpCxc7ODiEhVZ28S0pKuMIHACwsLHDixAlIpVLY2tpiy5Yt2LdvH9zc3LgYLy8vREZGIiQkBEKhEAUFBSoNT4l6CAQCjBgxAlKlGOmKVPxvXjDfKbUKwafnYNw49S72+PqI6CuvRkRfH72pi0KhwNWrV7n2FRYWFjAxMVE55pMnT5CXl9fgYxLy36hdBCGkVWBZFj/++CNWvPsl36lonMBj/pg0aRIv5z548CD8/Pywe/duODo6IioqCqmpqbh58yaMjY3h6+uLnj17IiIiAgCwbt06DB8+HJaWligvL8fmzZuRlpaG/Px8DBo0CACwceNGbNiwAQkJCbCwsMDatWvx008/4fr169XW5CGkIWjODiGkVWAYBkKhEFKlGCzL4saNG1gyJJTvtHi34PAM3godoGpEtKysDCEhIZDJZBAKhSojosXFxWjX7p+bCI8ePcLs2bMhk8lgYGAAe3t7ZGdnc4UOAAQHB6OiogJz5sxBeXk5Ro4cCYlEQoUOaTIa2SGkGWVlZWHz5s3Iz89HSUkJjhw5wk14rsnhw4exa9cuFBQU4Pnz5xg8eDDCwsJUbq+FhYXhiy++UNnPysoKN2/ebKnLaFVYlsWdO3ewf/9+5Ky/wXc6ajU7ZRqmT5/OdxqEaDyas0NIM2psz66srCxMmDABJ0+eRH5+PsaNG4fJkyfjypUrKnGDBw9WWXH2/PnzLZF+q8QwDPr3749169YhXZGKPYWbMPoLG77TanH++z2p0CGkgWhkh5AWwjBMvSM7NRk8eDC8vLy4ydZhYWFIS0vjnjwjDaNUKjF//nwkJyfD8akr3+k0q49j36enBAlpBBrZIUSDKJVKPH36FIaGhirbb9++DTMzM/Tt2xczZsxQedKMVMeyLIKDg3H8+HHk5+cjXZGKb0qi8f4WZ75TaxZU6BDSOFTsEKJBIiMjIZfLVW5PiEQixMfHQyKRYNeuXSgqKsKoUaPw9OlTHjPVbOHh4UhJSUFmZiYsLS3BMAyMjY2xdOlSSJVipJTFwHP7WL7TbJJ0RSrfKRDS6tBtLEJaSGNvYyUlJWH27Nk4evRotQ7trysvL4e5uTm2bt2KmTNnNlO2bcuNGzfQoUMHWFpa1htbXl6O1NRUiOdK1ZDZm0lXpIJhGL7TIKTVoZEdQjRASkoKZs2ahdTU1DoLHQDo1q0bBgwYwK04S6obOHBggwodoOrvc86cOZAqxTj8OA4fx77fwtk1DRU6hDQdFTuE8Cw5ORkBAQFITk5u0HopcrkchYWF3IqzpPm89dZbCAgIgFQpxlF5Avz3e/KdEgAqdAh5U1TsENKMGtuzKykpCb6+vtiyZQtEIhFkMhlkMhkeP37MxSxfvhznzp3D3bt3kZ2djSlTpkAgEMDHx0et16Zt9PX1MWPGDEiVYhx/9g3+nerFSx5U6BDy5qjYIa1KcnIy9PT0UFJSwm0LCAiAjY2NSoHAl8b27NqzZw/+/vtvLFiwAKamptxryZIlXMz9+/fh4+MDKysrTJ8+HW+//TZyc3PRo0cP9V6cFtPR0cHUqVMhVYpx8nkSFqV9qpbzUqFDSPOgCcqkVWFZFkKhEKNHj8b27dsRGhqKuLg45ObmomfPnnynR7TM33//DalUiq2T4pr92FToENJ8qNghrc7x48cxdepUrF27Flu2bMH333+PwYMH850W0XIKhQKZmZnYMCHmjY9FhQ4hzYtuY5FW54MPPsCgQYOwbt06HDlyhAodohEEAgHGjx8PqVIMycsUhJxb3KTjSF6mtGihs2PHDvTp0we6uroQiUS4ePFirbF79+7FqFGjYGBgAAMDA7i4uFSL9/f3B8MwKi93d/cWy5+QpqBih7Q6EokEN2/ehEKh4Dork/plZWVh8uTJMDMzA8MwSEtLqzM+MzOz2ocYwzCQyWQqcY358NQWAoEAo0aNglQpRroiFV/mrmjQfpKXKRAIBC2W18GDBxEUFITQ0FBcvnwZtra2cHNzw++//15jfGZmJnx8fHD27Fnk5OSgV69ecHV1xYMHD1Ti3N3dVXq3JScnt9g1ENIUVOyQVuXy5cuYPn06YmNjMX78eKxdu5bvlFqNxjYpfeXWrVsqH2RGRkbce4398NRGDMPA0dGRK3w25a+uMS7+16gWLXQAYOvWrZg9ezYCAgIwaNAgxMTEQF9fH3FxNc85OnDgAObPnw+hUAhra2vs27cPSqUSGRkZKnE6OjowMTHhXgYGBi16HYQ0GktIK1FUVMSamJiwERERLMuybG5uLsswDJufn89zZq0PAPbIkSN1xpw9e5YFwD569KjWGEdHR3bBggXc9wqFgjUzM+N+RqR2Dx48YM3MzFhDQ0PWycmJFQgE7JgxY9jt27ez9+/fb/bzPX/+nBUIBNV+7r6+vuyHH37YoGM8efKE1dXVZY8dO8Zt8/PzY7t27cr26NGDHTBgADt37lz24cOHzZk6IW+MRnZIq/Dnn3/C3d0dHh4e+PzzzwFU9YyaOHEiVq+u+Tdl0jyEQiFMTU0xYcIEXLhwgdv+4sUL5Ofnq6z43K5dO7i4uCAnJ4ePVFuN33//HS4uLpgwYQLKysqQnZ2Ne/fuYerUqfj2229hbm6OwsLCZj3nw4cPa7z1a2xsXO3WZG1WrlwJMzMzlZ+5u7s7EhMTkZGRgY0bN+LcuXOYOHEiFApFs+ZPyJtoz3cChDSEoaEhbt68WW37iRMneMhGO5iamiImJgYODg54/vw59u3bh7FjxyIvLw/vvvtunR+eNf2sSJWXL1/C1dUVQqEQsbGxaNeu6nfOnj17YuHChVi4cCHKysrQvXt3njNVtWHDBq65qq6uLrfd29ub+/PQoUNhY2ODfv36ITMzE+PHj+cjVUKqoWKHEFIjKysrWFlZcd87OzujsLAQX331Ffbv389jZq1bhw4dEBkZibFjx9Y6R6clFozs3r07BAIBSktLVbaXlpbCxMSkzn0jIyOxYcMGfPfdd7Cxsakztm/fvujevTvu3LlDxQ7RGHQbixDSYI6OjlwD0jf58NR2Li4uaN9evb9rduzYEfb29iqTi19NNnZycqp1v02bNiE8PBwSiQQODg71nuf+/fv4448/qHcb0ShU7BBCGqygoID7EGvqhyfhT1BQEPbu3YuEhATcuHED8+bNQ0VFBQICAgAAvr6+WLVqFRe/ceNGrF27FnFxcejTpw/Xu00ulwOo6gW3YsUK5Obm4u7du8jIyICHhwcsLS3h5ubGyzUSUhO6jUWIlpDL5dyoDPBPk1JDQ0P07t0bq1atwoMHD5CYmAgAiIqKgoWFBQYPHozKykrs27cPZ86cQXp6OneMoKAg+Pn5wcHBAY6OjoiKilL58CSaxcvLC2VlZQgJCYFMJoNQKIREIuHmXRUXF3NziABg165dePHiBaZOnapynNDQUISFhUEgEOCnn35CQkICysvLYWZmBldXV4SHh0NHR0et10ZIXahdBCFaIjMzE+PGjau23c/PD/Hx8fD398fdu3eRmZkJoOr2xZ49e/DgwQPo6+vDxsYGISEh1Y4RHR2NzZs3cx+e27Ztg0gkUsclEUJIg1CxQwghhJA2jebsEEIIIaRNo2KHEEIIIW0aFTuEEN41tklpTZ22GYbB4MGDuZiwsLBq71tbW7fwlRBCNBEVO4QQ3jW2SenXX3+t0pz0119/haGhIaZNm6YSN3jwYJW48+fPt0T6hBANR4+eE0J4N3HiREycOLHB8V27dkXXrl2579PS0vDo0aNqj7y3b9+eFjgkhNDIDiGk9YuNjYWLiwvMzc1Vtt++fRtmZmbo27cvZsyYgeLiYp4yJITwiYodQkir9ttvv+HUqVOYNWuWynaRSIT4+HhIJBLs2rULRUVFGDVqFJ4+fcpTpoQQvtBtLEJIq5aQkIBu3brB09NTZfvrt8VsbGwgEolgbm6O1NRUzJw5U81ZEkL4RCM7hJBWi2VZxMXF4dNPP0XHjh3rjO3WrRsGDBig0jKDEKIdqNghhLRa586dw507dxo0UiOXy1FYWEjduAnRQlTsEEJ4J5fLUVBQgIKCAgD/NCl9NaF41apV8PX1rbZfbGwsRCIRhgwZUu295cuX49y5c7h79y6ys7MxZcoUCAQC+Pj4tOi1EEI0DxU7hBDeXbp0CXZ2drCzswNQ1U3dzs4OISEhAICSkpJqT1I9fvwYhw4dqnVU5/79+/Dx8YGVlRWmT5+Ot99+G7m5uejRo0fLXkwz2bFjB/r06QNdXV2IRCJcvHixznixWAxra2vo6upi6NChOHnypMr7LMsiJCQEpqam0NPTg4uLC27fvt2Sl0CIxqBGoIQQomEOHjwIX19fxMTEQCQSISoqCmKxGLdu3YKRkVG1+OzsbIwePRoRERH44IMPkJSUhI0bN+Ly5cvcqNfGjRsRERGBhIQEWFhYYO3atbh69SquX78OXV1ddV8iIWpFxQ4hhGgYkUiEYcOGITo6GgCgVCrRq1cvLFq0CJ9//nm1eC8vL1RUVOD48ePctuHDh0MoFCImJgYsy8LMzAzLli3D8uXLAVSNjBkbGyM+Ph7e3t7quTBCeEK3sQghRIO8ePEC+fn5cHFx4ba1a9cOLi4uyMnJqXGfnJwclXgAcHNz4+KLioogk8lUYrp27QqRSFTrMQlpS6jYIYSQOkRERGDYsGF46623YGRkBE9PT9y6dave/Zo6h+bhw4dQKBQwNjZWiTc2NoZMJqvxXDKZrM74V18bc0xC2hIqdgghpA7nzp3DggULkJubC6lUipcvX8LV1RUVFRW17pOdnQ0fHx/MnDkTV65cgaenJzw9PXHt2jUuZtOmTdi2bRtiYmKQl5eHTp06wc3NDZWVleq4LEK0Cq2gTAghdZBIJCrfx8fHw8jICPn5+Rg9enSN+3z99ddwd3fHihUrAADh4eGQSqWIjo7m5tBERUVhzZo18PDwAAAkJibC2NgY2dnZEAgEKC0tVTlmaWlprU1NTUxM6ox/9bW0tFRlnaHS0lIIhcIG/k0Q0nrRyA4hhDTC48ePAQCGhoa1xrzJHJoffvgB9vb2yMjI4N5TKpXIyMiAk5NTjedzcnJSiQcAqVTKxVtYWMDExEQl5smTJ8jLy6v1mIS0JTSyQwghDaRUKhEYGIgRI0bUuJDhK286hyYoKAh+fn5wcHCAo6MjoqKiUFFRgYCAAACAr68vevbsiYiICADAkiVLMGbMGGzZsgWTJk1CSkoKLl26hD179gAAGIZBYGAg1q9fj/79+3OPnpuZmVXrKUZIW0TFDiGENNCCBQtw7do1nD9/vkXP4+XlhbKyMoSEhEAmk0EoFEIikXDFUXFxMdq1+2dg3tnZGUlJSVizZg1Wr16N/v37Iy0tTaUgCw4ORkVFBebMmYPy8nKMHDkSEomE1tghWoHW2SGEkAZYuHAhjh49iqysLFhYWNQZ27t3bwQFBSEwMJDbFhoairS0NPz444/45Zdf0K9fP1y5ckVlzsyYMWMgFArx9ddft9BVEKKdaM4OIYTUgWVZLFy4EEeOHMGZM2fqLXQAmkNDiKah21iEEFKHBQsWICkpCUePHsVbb73Fzbfp2rUr9PT0ANAcGkI0Hd3GIoSQOjAMU+P2//znP/D39wcAjB07Fn369EF8fDz3vlgsxpo1a3D37l30798fmzZtwvvvv8+9z7IsQkNDsWfPHm4Ozc6dOzFgwICWvBxCtBIVO4QQQghp02jODiGEEELaNCp2CCGEENKmUbFDCCGEkDaNih1CCCGEtGlU7BBCCCGkTaNihxBCCCFtGhU7hBBCCGnTqNghhBBCSJtGxQ4hhBBC2jQqdgghhBDSplGxQwghhJA2jYodQgghhLRp/w+Oi9RreeJKjwAAAABJRU5ErkJggg==",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# NBVAL_IGNORE_OUTPUT\n",
"from devito import Grid, TimeFunction\n",
"\n",
"grid = Grid(shape=(nx, ny), extent=(2., 2.))\n",
"u = TimeFunction(name='u', grid=grid)\n",
"init_hat(field=u.data[0], dx=dx, dy=dy, value=2.)\n",
"# Note u.data[0] == u.data[0,:,:]\n",
"plot_field(u.data[0])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Nice. Now we can look at deriving our 3-point stencil using the symbolic capabilities given to our function $u$ by SymPy. For this we will first construct our derivative terms in space and time. For the forward derivative in time we can easily use Devito's shorthand notation `u.dt` to denote the first derivative in time and `u.dxl` and `u.dyl` to denote the space derivatives. Note that the `l` means were using the \"left\" or backward difference here to adhere to the discretization used in the original tutorials.\n",
"\n",
"From the resulting terms we can then create a `sympy.Equation` object that contains the fully discretized equation, but from a neat high-level notation, as shown below."
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Eq(Derivative(u(t, x, y), x) + Derivative(u(t, x, y), y) + Derivative(u(t, x, y), t), 0)\n"
]
}
],
"source": [
"from devito import Eq\n",
"\n",
"# Specify the `interior` flag so that the stencil is only\n",
"# applied to the interior of the domain.\n",
"eq = Eq(u.dt + c*u.dxl + c*u.dyl, subdomain=grid.interior)\n",
"\n",
"print(eq)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The above step resulted in a fully discretized version of our equation, which includes place-holder symbols for the spacing in time (`dt`) and space (`h`). These symbols are based on an internal convention and will later be replaced when we build an operator.\n",
"\n",
"But before we can build an operator, we first need to change our discretized expression so that we are updating the forward stencil point in our timestepping scheme - Devito provides another short-hand notation for this: `u.forward`. For the actual symbolic reordering, SymPy comes to the rescue with the `solve` utility that we can use to re-organise our equation."
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
" ⎛ ∂ ∂ u(t, x, y)⎞\n",
"dt⋅⎜- ──(u(t, x, y)) - ──(u(t, x, y)) + ──────────⎟\n",
" ⎝ ∂x ∂y dt ⎠\n"
]
}
],
"source": [
"from devito import solve\n",
"from sympy import nsimplify, pprint\n",
"\n",
"stencil = solve(eq, u.forward)\n",
"\n",
"# nsimplify: 1.0*x = x\n",
"pprint(nsimplify(stencil))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The careful reader will note that this is equivalent to the symbolic expression for the RHS of the NumPy code we showed earlier - only with `dx` and `dy` denoted as `h_x` and `h_y` respectively, while `u(t, x, y)`, `u(t, x - h, y)` and `u(t, x, y - h)` denote the equivalent of $u^{n}_{i, j}$, $u^{n}_{i-1, j}$ and $u^{n}_{i, j-1}$ analytically and `u[1:, 1:]`, `u[:-1, 1:]` and `u[1:, :-1]` in the numpy implementation respectively. \n",
"\n",
"We can now use this stencil expression to create an operator to apply to our data object:"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"Operator `Kernel` ran in 0.01 s\n"
]
},
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# NBVAL_IGNORE_OUTPUT\n",
"from devito import Operator\n",
"\n",
"# Reset our initial condition in both buffers.\n",
"# This is required to avoid 0s propagating into\n",
"# our solution, which has a background value of 1.\n",
"init_hat(field=u.data[0], dx=dx, dy=dy, value=2.)\n",
"init_hat(field=u.data[1], dx=dx, dy=dy, value=2.)\n",
"\n",
"# Create an operator that updates the forward stencil point\n",
"op = Operator(Eq(u.forward, stencil, subdomain=grid.interior))\n",
"\n",
"# Apply the operator for a number of timesteps\n",
"op(time=nt, dt=dt)\n",
"\n",
"plot_field(u.data[0, :, :])\n",
"\n",
"# Some small sanity checks for the testing framework\n",
"assert (u.data[0, 45:55, 45:55] > 1.8).all()\n",
"assert np.allclose(u.data[0], u_ref, rtol=3.e-2)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Great, that looks to have done the same thing as the original NumPy example, so we seem to be doing something right, at least.\n",
"\n",
"**A note on performance:** During the code generation phase of the previous operator Devito has introduced several performance optimisations. We will ignore this aspect for now, also because our example is tiny - but for large runs where performance matters, these optimisations will make a Devito kernel run very fast in comparison to raw Python/NumPy.\n",
"\n",
"Now, despite getting a correct looking result, there is still one problem with the above operator: It doesn't set any boundary conditions as part of the time loop. We also note that the operator includes a time loop, but at this point Devito doesn't actually provide any language constructs to explicitly define different types of boundary conditions (Devito is probably still a kind of prototype at this point). Luckily though, Devito provides a backdoor for us to insert custom expression in the so-called \"indexed\" or \"low-level\" API that allow us to encode the Dirichlet boundary condition of the original example.\n",
"\n",
"#### The \"indexed\" or low-level API\n",
"The `TimeFunction` field we created earlier behaves symbolically like a `sympy.Function` object with the appropriate indices, eg. `u(t, x, y)`. If we take a simple first-order derivative of that we have a term that includes the spacing variable `h`, which Devito uses as the default for encoding $dx$ or $dy$. For example, `u.dx` simply expands to `-u(t, x, y)/h + u(t, x + h, y)/h`.\n",
"\n",
"Now, when the `Operator` creates explicit C-code from that expression, it at some point \"lowers\" that expression by resolving explicit data accesses (or indices) into our grid by transforming it into a `sympy.Indexed` object. During this process all occurrences of `h` in data accesses get replaced with integers, so that the expression now looks like `-u[t, x, y]/h + u[t, x + 1, y]/h`. This is the \"indexed\" notation and we can create custom expression of the same kind by explicitly writing `u[...]`, that is with indices in square-bracket notation. These custom expressions can then be injected into our operator like this:"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"Operator `Kernel` ran in 0.01 s\n"
]
},
{
"data": {
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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# NBVAL_IGNORE_OUTPUT\n",
"\n",
"# Reset our data field and ICs in both buffers\n",
"init_hat(field=u.data[0], dx=dx, dy=dy, value=2.)\n",
"init_hat(field=u.data[1], dx=dx, dy=dy, value=2.)\n",
"\n",
"# For defining BCs, we want to explicitly set rows/columns in our field\n",
"# We can use Devito's \"indexed\" notation to do this:\n",
"x, y = grid.dimensions\n",
"t = grid.stepping_dim\n",
"bc_left = Eq(u[t + 1, 0, y], 1.)\n",
"bc_right = Eq(u[t + 1, nx-1, y], 1.)\n",
"bc_top = Eq(u[t + 1, x, ny-1], 1.)\n",
"bc_bottom = Eq(u[t + 1, x, 0], 1.)\n",
"\n",
"# Now combine the BC expressions with the stencil to form operator\n",
"expressions = [Eq(u.forward, stencil)]\n",
"expressions += [bc_left, bc_right, bc_top, bc_bottom]\n",
"op = Operator(expressions=expressions, opt=None, language='C') # <-- Turn off performance optimisations\n",
"op(time=nt, dt=dt)\n",
"\n",
"plot_field(u.data[0])\n",
"\n",
"# Some small sanity checks for the testing framework\n",
"assert (u.data[0, 45:55, 45:55] > 1.8).all()\n",
"assert np.allclose(u.data[0], u_ref, rtol=3.e-2)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"You might have noticed that we used the argument `opt=None` in the creation of the previous operator. This suppresses the various performance optimisation steps in the code-generation pipeline, which makes the auto-generated C code much easier to look at. So, for the brave, let's have a little peek under the hood... "
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"/* Devito generated code for Operator `Kernel` */\n",
"\n",
"#define _POSIX_C_SOURCE 200809L\n",
"#define START(S) struct timeval start_ ## S , end_ ## S ; gettimeofday(&start_ ## S , NULL);\n",
"#define STOP(S,T) gettimeofday(&end_ ## S, NULL); T->S += (double)(end_ ## S .tv_sec-start_ ## S.tv_sec)+(double)(end_ ## S .tv_usec-start_ ## S .tv_usec)/1000000;\n",
"\n",
"#include \"stdlib.h\"\n",
"#include \"math.h\"\n",
"#include \"sys/time.h\"\n",
"\n",
"struct dataobj\n",
"{\n",
" void *restrict data;\n",
" int * size;\n",
" unsigned long nbytes;\n",
" unsigned long * npsize;\n",
" unsigned long * dsize;\n",
" int * hsize;\n",
" int * hofs;\n",
" int * oofs;\n",
" void * dmap;\n",
"} ;\n",
"\n",
"struct profiler\n",
"{\n",
" double section0;\n",
" double section1;\n",
" double section2;\n",
"} ;\n",
"\n",
"\n",
"int Kernel(struct dataobj *restrict u_vec, const float dt, const float h_x, const float h_y, const int time_M, const int time_m, const int x_M, const int x_m, const int y_M, const int y_m, struct profiler * timers)\n",
"{\n",
" float (*restrict u)[u_vec->size[1]][u_vec->size[2]] __attribute__ ((aligned (64))) = (float (*)[u_vec->size[1]][u_vec->size[2]]) u_vec->data;\n",
"\n",
" for (int time = time_m, t0 = (time)%(2), t1 = (time + 1)%(2); time <= time_M; time += 1, t0 = (time)%(2), t1 = (time + 1)%(2))\n",
" {\n",
" START(section0)\n",
" for (int x = x_m; x <= x_M; x += 1)\n",
" {\n",
" for (int y = y_m; y <= y_M; y += 1)\n",
" {\n",
" u[t1][x + 1][y + 1] = dt*(-(-u[t0][x][y + 1]/h_x + u[t0][x + 1][y + 1]/h_x) - (-u[t0][x + 1][y]/h_y + u[t0][x + 1][y + 1]/h_y) + u[t0][x + 1][y + 1]/dt);\n",
" }\n",
" }\n",
" STOP(section0,timers)\n",
"\n",
" START(section1)\n",
" for (int y = y_m; y <= y_M; y += 1)\n",
" {\n",
" u[t1][1][y + 1] = 1.0F;\n",
"\n",
" u[t1][81][y + 1] = 1.0F;\n",
" }\n",
" STOP(section1,timers)\n",
"\n",
" START(section2)\n",
" for (int x = x_m; x <= x_M; x += 1)\n",
" {\n",
" u[t1][x + 1][81] = 1.0F;\n",
"\n",
" u[t1][x + 1][1] = 1.0F;\n",
" }\n",
" STOP(section2,timers)\n",
" }\n",
"\n",
" return 0;\n",
"}\n",
"\n"
]
}
],
"source": [
"print(op.ccode)"
]
}
],
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