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"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Roads and Cables"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"[Try this yourself](https://colab.research.google.com/github/DTUWindEnergy/TopFarm2/blob/master/docs/notebooks/roads_and_cables.ipynb) (requires google account)\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"In this example, a layout optimization with the Internal Rate of Return (IRR) as the objective function is performed. The cost of cables and electrical grid cable components are specified within the cost model to see how these are incorporated into the optimization and their influence on the results. Both the NREL and DTU cost model can be selected to perform the optimizations and analyze their differences."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**Install TOPFARM if needed**"
]
},
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"# Install TopFarm if needed\n",
"import importlib\n",
"if not importlib.util.find_spec(\"topfarm\"):\n",
" !pip install git+https://gitlab.windenergy.dtu.dk/TOPFARM/TopFarm2.git"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"In colab, use the \"inline\" backend"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"# non-updating, inline plots\n",
"%matplotlib inline\n",
"import warnings\n",
"warnings.filterwarnings('ignore')\n",
"# ...or updating plots in new window\n",
"#%matplotlib qt"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**First, let's import a few TOPFARM classes and basic Python elements**\n",
"\n",
"In addition the the common TOPFARM elements such as the `CostModelComponent`, `TopFarmProblem`, optimization driver and constraints, here we are importing some electrical components that will calculate the influence of cabling costs in the optimization.\n",
"\n",
"**ElNetCost** will calculate the cost associated to the electrical connection in the wind farm, considering the cost per meter cable used. This cost will serve as input to the IRR calculation alongside the AEP of the wind farm, to obtain the total IRR when cabling is added to the optimization problem."
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"import numpy as np\n",
"import matplotlib.pylab as plt\n",
"\n",
"from topfarm.cost_models.cost_model_wrappers import CostModelComponent\n",
"from topfarm import TopFarmGroup, TopFarmProblem\n",
"from topfarm.easy_drivers import EasyRandomSearchDriver, EasyScipyOptimizeDriver\n",
"from topfarm.drivers.random_search_driver import RandomizeTurbinePosition_Circle\n",
"from topfarm.constraint_components.spacing import SpacingConstraint\n",
"from topfarm.constraint_components.boundary import XYBoundaryConstraint\n",
"from topfarm.cost_models.electrical.simple_msp import ElNetLength, ElNetCost, XYCablePlotComp\n",
"from topfarm.cost_models.utils.spanning_tree import mst\n",
"\n",
"#classes to define the site to use\n",
"from py_wake.site.shear import PowerShear"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We create a function to set up the site wind speed conditions and the turbines' initial positions. Since the **UniformWeibullSite** will be used, which describes a site with uniform and Weibull distributed wind speed. Some key parameters must be specified: \n",
"- the probability of wind direction sector, f\n",
"- the Weibull shape parameter, k\n",
"- the Weibull scale parameter, A\n",
"\n",
"In addition, the turbulence intensity and shear exponent are selected. "
"execution_count": 4,
"metadata": {},
"outputs": [],
"source": [
"def get_site():\n",
" f = [0.035972, 0.039487, 0.051674, 0.070002, 0.083645, 0.064348,\n",
" 0.086432, 0.117705, 0.151576, 0.147379, 0.10012, 0.05166]\n",
" A = [9.176929, 9.782334, 9.531809, 9.909545, 10.04269, 9.593921,\n",
" 9.584007, 10.51499, 11.39895, 11.68746, 11.63732, 10.08803]\n",
" k = [2.392578, 2.447266, 2.412109, 2.591797, 2.755859, 2.595703,\n",
" 2.583984, 2.548828, 2.470703, 2.607422, 2.626953, 2.326172]\n",
" ti = 0.001\n",
" h_ref = 100\n",
" alpha = .1\n",
" site = UniformWeibullSite(f, A, k, ti, shear=PowerShear(h_ref=h_ref, alpha=alpha))\n",
" \n",
" #setting up the initial turbine positions\n",
" N = 5 #number of turbines per row\n",
" theta = 76 #inclination angle of turbines\n",
" dx = np.tan(np.radians(theta))\n",
" x = np.array([np.linspace(0,(N-1)*spacing,N)+i*spacing/dx for i in range(N)])\n",
" y = np.array(np.array([N*[i*spacing] for i in range(N)]))\n",
" initial_positions = np.column_stack((x.ravel(),y.ravel()))\n",
" eps = 2000\n",
" delta = 5\n",
" site.boundary = np.array([(0-delta, 0-delta),\n",
" ((N-1)*spacing+eps, 0-delta),\n",
" ((N-1)*spacing*(1+1/dx)+eps*(1+np.cos(np.radians(theta))), (N-1)*spacing+eps*np.sin(np.radians(theta))-delta),\n",
" ((N-1)*spacing/dx+eps*np.cos(np.radians(theta)), (N-1)*spacing+eps*np.sin(np.radians(theta)))])\n",
" site.initial_position = initial_positions\n",
" return site"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Specifying the additional parameters needed for the cost models\n",
"\n",
"We will use the IEA-37 site and the DTU 10MW reference turbine as the wind turbine object. The diameter of the rotor, rated power, hub heights and rated rpm are specified as they correspond to the inputs for the two cost models."
"execution_count": 5,
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"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Number of turbines: 25\n"
]
}
],
"source": [
"from py_wake.examples.data.dtu10mw import DTU10MW\n",
"\n",
"site = get_site()\n",
"n_wt = len(site.initial_position)\n",
"windTurbines = DTU10MW()\n",
"Drotor_vector = [windTurbines.diameter()] * n_wt \n",
"power_rated_vector = [float(windTurbines.power(20)/1000)] * n_wt \n",
"hub_height_vector = [windTurbines.hub_height()] * n_wt \n",
"rated_rpm_array = 12. * np.ones([n_wt])\n",
"\n",
"print('Number of turbines:', n_wt)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Quickly plotting the site boundary and initial position"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.plot(site.initial_position[:,0], site.initial_position[:,1], 'o')\n",
"ind = list(range(len(site.boundary))) + [0]\n",
"pt = plt.plot(site.boundary[ind,0], site.boundary[ind,1], '-')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Setting up the AEP calculator\n",
"- Using the Gaussian wake model from [Bastankhah & Porte Agel](https://topfarm.pages.windenergy.dtu.dk/PyWake/notebooks/EngineeringWindFarmModels.html#BastankhahGaussianDeficit)\n",
"- Based on 16 wind direction to speed things up (not critical here because we will be using the RandomSearch algorithm)"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [],
"source": [
"from py_wake.deficit_models.gaussian import IEA37SimpleBastankhahGaussian\n",
"\n",
"## We use the Gaussian wake model\n",
"wake_model = IEA37SimpleBastankhahGaussian(site, windTurbines)\n",
"\n",
"## The AEP is calculated using n_wd wind directions\n",
"n_wd = 16\n",
"wind_directions = np.linspace(0., 360., n_wd, endpoint=False)\n",
"\n",
"def aep_func(x, y, **kwargs):\n",
" \"\"\"A simple function that takes as input the x,y position of the turbines and return the AEP per turbine\"\"\"\n",
" return wake_model(x=x, y=y, wd=wind_directions).aep().sum('wd').sum('ws').values*10**6"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([48846666.47398125, 48076092.23666706, 47944165.03642996,\n",
" 47960611.08905266, 48321458.12536133, 48724302.1125211 ,\n",
" 47944055.20081887, 47677174.31239147, 47699818.49584733,\n",
" 48077384.1359745 , 48730772.05703813, 47956971.4742767 ,\n",
" 47746058.23357575, 47760605.9339205 , 48158379.95981343,\n",
" 48615025.49183208, 47864760.06397984, 47630113.20104554,\n",
" 47721845.46494898, 48135819.05773869, 48650994.84475809,\n",
" 47915433.78885604, 47687319.04146974, 47752944.44899338,\n",
" 48219457.74599593])"
"execution_count": 8,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"aep_func(site.initial_position[:,0], site.initial_position[:,1])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Setting up the NREL IRR cost model\n",
"Based on the 2006 NREL report (https://www.nrel.gov/docs/fy07osti/40566.pdf)"
"execution_count": 9,
"metadata": {},
"outputs": [],
"source": [
"from topfarm.cost_models.economic_models.turbine_cost import economic_evaluation as EE_NREL\n",
"\n",
"def irr_nrel(aep, electrical_connection_cost, **kwargs):\n",
" return EE_NREL(Drotor_vector, power_rated_vector, hub_height_vector, aep, electrical_connection_cost).calculate_irr()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Setting up the DTU IRR cost model\n",
"Based on Witold's recent work"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [],
"source": [
"from topfarm.cost_models.economic_models.dtu_wind_cm_main import economic_evaluation as EE_DTU\n",
"\n",
"distance_from_shore = 10.0 # [km]\n",
"energy_price = 0.2 / 7.4 # [DKK/kWh] / [DKK/EUR] -> [EUR/kWh]\n",
"project_duration = 20 # [years]\n",
"water_depth_array = 20 * np.ones([n_wt]) # [m]\n",
"Power_rated_array = np.array(power_rated_vector)/1.0E3 # [MW]\n",
"\n",
"ee_dtu = EE_DTU(distance_from_shore, energy_price, project_duration)\n",
"\n",
"#setting up the IRR cost function\n",
"def irr_dtu(aep, electrical_connection_cost, **kwargs):\n",
" ee_dtu.calculate_irr(\n",
" rated_rpm_array, \n",
" Drotor_vector, \n",
" Power_rated_array,\n",
" hub_height_vector, \n",
" water_depth_array, \n",
" aep, \n",
" electrical_connection_cost)\n",
" return ee_dtu.IRR"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Setting up the Topfarm problem"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"scrolled": false
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
{
"name": "stdout",
"output_type": "stream",
"text": [
"INFO: checking out_of_order\n",
"INFO: checking system\n",
"INFO: checking solvers\n",
"INFO: checking dup_inputs\n",
"INFO: checking missing_recorders\n",
"INFO: checking unserializable_options\n",
"INFO: checking comp_has_no_outputs\n",
"INFO: checking auto_ivc_warnings\n",
"INFO: checking out_of_order\n",
"INFO: checking system\n",
"INFO: checking solvers\n",
"INFO: checking dup_inputs\n",
"INFO: checking missing_recorders\n",
"INFO: checking unserializable_options\n",
"INFO: checking comp_has_no_outputs\n",
"INFO: checking auto_ivc_warnings\n"
]
},
"image/png": 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/EB8fX+g8NkDebLw7duzABx98gGnTpsHCwgLr1q2DQqHAwoUL33ibUVFRaNKkCYYOHar+xtc///yDQ4cOoVu3bujbt6/G+M2bN+Px48fqAu7UqVPqfTJ8+HC4uLgUmv1l+V/jf/m0zIABA9C3b1/15Rn+/vtvHDhwoMjttGvXDjY2Njh27Jj6dM27cHJyQkBAAJYuXQqFQoEWLVpg7969OH36NLZs2aIxs/asWbOwadMmhIeHq6ciGDBgAFq3bo1Ro0YhJCREPeOxUqnEN998o/FcS5cuRZ8+fdClSxcMGTIEt2/fxk8//YSxY8cWeMRFqVQiICAA06dP1yhYBwwYgBkzZsDOzg6PHz/GrVu31I3m+SrKe4pVcuU9+yBjlUVmZiZ99tln5ODgQAYGBtSiRQuNWVvzJSUlkVQqpV9//bXYbYaHhxMA2rBhg3pZUbP3AtCYybY4J0+eJAAF3tq3b//atl9eFhsbS+PGjSN3d3cyMTEhqVRKbm5uFBAQQLGxsQU+35AhQ0gikVB8fHyRuR4+fEj9+/cnc3NzMjIyog4dOtClS5feapuJiYn04YcfUq1atcjY2JgMDAzIw8ODFi5cSDk5Oa+Nb9++faH75OTJk0Xmznfw4EEyNTWl58+fv7Zu0aJF5OjoSFWqVKHvvvuuRNubMmUK1apVq9hxJZnxmChvJuyFCxeSi4sLSaVS8vDwoD///PO1cSNHjiQA6lmg8yUkJNCYMWPIxsaGjI2NqX379nT58uUCn2vPnj3UuHFjMjAwICcnJ/rqq68K3O9ERKtXryYnJydKT0/XWK5QKGjatGlka2tLLi4utGnTJo31b/KeYqwofO0qxt7RihUrsGTJEjx8+FDwJmFWOTx69Aju7u44fPgwOnbsKHScCoffU6y0cJHD2DtQKBSoWbMmPv/8c41p9Rkrjr+/Px48ePDaN6p0Hb+nWGniIocxxhhjWom/XcUYY4wxrcRFDmOMMca0Ehc5jDHGGNNKXOQwxhhjTCvp9GSAKpUKz58/h5mZGV8EjjHGGKskiAipqalwdHQs9Lp/gI4XOc+fP39ten7GGGOMVQ6RkZFwcnIqdL1OFzn5FwaMjIyEubm5wGkYY4wxVhIpKSlwdnYu8AK/L9PpIif/FJW5uTkXOYwxxlglU1yrCTceM8YYY0wrcZHDGGOMMa3ERQ5jjDHGtJJO9+QwxhgrHBEhNzcXSqVS6ChMx4jFYujr67/z9C5c5DDGGHtNTk4OXrx4gYyMDKGjMB1lbGyMKlWqQCqVvvU2uMhhjDGmQaVSITw8HGKxGI6OjpBKpTxhKis3RIScnBzExsYiPDwcbm5uRU74VxQuchhjjGnIycmBSqWCs7MzjI2NhY7DdJCRkREkEgkeP36MnJwcGBoavtV2uPGYMcZYgd72r2fGSkNp/PzxTzBjjDHGtBIXOYwxxhjTSlzkMMYYYwwA4Ofnh379+hU5Ri6XQyQSISkpqVwyvYs3LnJOnTqF3r17w9HRESKRCHv37tVYT0T4+uuvUaVKFRgZGaFTp04ICwvTGJOQkABfX1+Ym5vD0tISY8aMQVpamsaYmzdvwsvLC4aGhnB2dsaSJUtey7Jz5064u7vD0NAQDRo0wKFDh9705TDGGCtlc+fOxfz58wtcN3/+fMydO7fMnjsqKgqTJ09GjRo1YGBgAGdnZ/Tu3RvHjx8vs+csDQV9ngph5cqV2Lhxo/q+t7c3AgICNMa0adMGL168gIWFRfmGewtvXOSkp6ejUaNGWL16dYHrlyxZgh9//BHr1q3DxYsXYWJigq5duyIrK0s9xtfXF3fu3EFgYCAOHDiAU6dOYdy4cer1KSkp6NKlC1xcXHDlyhUsXboUc+fOxc8//6wec+7cOQwdOhRjxozBtWvX0K9fP/Tr1w+3b99+05fEGGOsFInFYnz99devFTrz58/H119/DbFYXCbPGxERgWbNmuHEiRNYunQpbt26hSNHjsDHxwcTJ0586+3mT4r4qpycnHeJWyFZWFjA0tKyyDFSqRQODg6VY1oBegcAaM+ePer7KpWKHBwcaOnSpeplSUlJZGBgQNu2bSMiopCQEAJAly9fVo85fPgwiUQievbsGRERrVmzhqysrCg7O1s9ZubMmVSnTh31/UGDBlHPnj018rRq1YrGjx9f4vzJyckEgJKTk0v8GMYY03aZmZkUEhJCmZmZb72NefPmEQCaN29egffLQvfu3alq1aqUlpb22rrExEQiIgoPDycAdO3aNY11AOjkyZNERHTy5EkCQIcOHaKmTZuSRCKhkydPUvv27WnixIk0depUsrGxIW9vbyIiunXrFnXr1o1MTEzI3t6ePvzwQ4qNjVVvv3379jR58mSaPn06WVlZkUwmozlz5qjXu7i4EAD1zcXFpcDXl59927Zt5OnpSQYGBuTh4UFyuVxjnFwupxYtWpBUKiUHBweaOXMmKRQK9fqdO3dS/fr1ydDQkKytraljx47qfTZy5Ejq27ev+t8v5wJA4eHh6v2Tv0+JiHbt2kX16tUjqVRKLi4u9P3332tkcnFxoW+//ZZGjRpFpqam5OzsTOvXry/wdeYr6uewpJ/fpVrkPHz48LUfHiKi9957j6ZMmUJERL/99htZWlpqrFcoFCQWi2n37t1ERDR8+HD1Ts534sQJAkAJCQlEROTs7Ew//PCDxpivv/6aGjZsWGjerKwsSk5OVt8iIyO5yGGMsVeURpFD9F9hI5VKy7zAiY+PJ5FIRAsXLixy3JsUOQ0bNqSjR4/SgwcPKD4+ntq3b0+mpqY0ffp0unv3Lt29e5cSExPJzs6OZs2aRaGhoXT16lXq3Lkz+fj4qLffvn17Mjc3p7lz59L9+/dp06ZNJBKJ6OjRo0REFBMTQwBow4YN9OLFC4qJiSkyu5OTE+3atYtCQkJo7NixZGZmRnFxcURE9PTpUzI2NqYJEyZQaGgo7dmzh2xtbdVF1fPnz0lfX5+WL19O4eHhdPPmTVq9ejWlpqYSkWaRk5SURJ6envTRRx/Rixcv6MWLF5Sbm/takRMcHEx6eno0b948unfvHm3YsIGMjIxow4YN6uwuLi5kbW1Nq1evprCwMFq0aBHp6enR3bt3C/1/VeGKnLNnzxIAev78uca4gQMH0qBBg4iI6Ntvv6XatWu/ti07Oztas2YNERF17tyZxo0bp7H+zp07BIBCQkKIiEgikdDWrVs1xqxevZrs7e0LzTtnzpzXqlIucnSDSqUSOgJjlUZpFTlEpC5wpFJpKSQr3MWLFwmA+o/lwrxJkbN3716Nx7Zv356aNGmisWz+/PnUpUsXjWX5f0Dfu3dP/bh27dppjGnRogXNnDlTff/Vz9Oisi9evFi9TKFQkJOTE3333XdERPTFF19QnTp1NH7nrV69mkxNTUmpVNKVK1cIAEVERBT4HC8XOfnZp06dqjHm1SJn2LBh1LlzZ40x06dPp3r16qnvu7i40Icffqi+r1KpyN7entauXVvo6y2NIkenZjyeNWsWpk2bpr6fkpICZ2dnAROx8mJra4uEhARUr1690PPIRZ1fLu7cc1mur6zbFvK5+XW923p7e3tMnjwZRPROE7KtWbMGOTk5kEgkyMnJwZQpUzBhwoQ3zlUSERERAIBnz57h3r17hY57+vSperyRkRGAvM8CAHjy5Anu3buHJ0+eAACsrKxw//599WMzMzNRq1YtjWVnzpzByZMnYWJi8tpzBQUFFfo4MzMzhIWFaSx7/vy5xv3Csjs5OeH+/fvq/ebu7o6LFy8iLCwMly9fhoeHBx48eKB+nJOTE9LS0nD69GnIZDJ4enrCw8MDXl5eaNu2Lbp166ZuIk5JSdHooS2J0NBQ9O3bV2NZ27ZtsWLFCiiVSnUPVsOGDdXrRSIRHBwcEBMT80bP9aZKtchxcHAAAERHR6NKlSrq5dHR0WjcuLF6zKsvKjc3FwkJCerHOzg4IDo6WmNM/v3ixuSvL4iBgQEMDAze4pWxyi4hIQEAMHTo0ALXE1GRj3+X9WW57cq+viJnK+v1FTmbpaUl9PX1IZVK37pJeNWqVVi1ahU++eQTTJ48GatWrcIPP/wAfX19TJo06a22WZRatWpBJBLh8ePHkEgkhY7L/wwQi8WvjdPX14dEIlG/ZjMzs9dev4mJicayzMxMdOjQAdOnT3/tuezt7dVjX92X+cXjq8uK2t/560QikUbxmV/svFwsFvRvkUgEfX19bNq0CVevXsWZM2fw559/4ocffsCuXbvg7OyM3NzcMmuofnV/i0QiqFSqMnmufKVa5Li6usLBwQHHjx9XFzUpKSm4ePEi/P39AQCenp5ISkrClStX0KxZMwDAiRMnoFKp0KpVK/WYL7/8EgqFQr1TAgMDUadOHVhZWanHHD9+XOOrbYGBgfD09CzNl8S0gEKhgLGxMebOnVvgLyLGmKasrCyEh4fDycnpra4ZNH/+fPzwww+YN28eZs+eDQBYvnw5rKys8PXXX8PKykq9vDR17doV27Ztw9y5c187spKUlARLS0v1H+BisRg1atQAADx8+BAA4OjoiBo1aqiP5Li6ump808jIyAgWFhaoWbOmelm7du3wv//9D+3bt4e+fsEfqQU9zsTEBGZmZuplEokEdnZ2GmNelV/kPH36FMOGDQOQd5Dg7t27mDRpEmrVqoUWLVrgf//7H2rWrKkubo4ePQozMzO0a9dOXRy5ublh8ODBUCqVcHFxwbVr1+Dj46MuhPJJpVIolcpCMwFA3bp1cfbsWY1lZ8+eRe3atcvsm3Ql9cbHIdPS0nD9+nVcv34dABAeHo7r16/jyZMnEIlECAgIwIIFC7B//37cunULI0aMgKOjo3pyobp166Jbt2746KOPcOnSJZw9exaTJk3CkCFD4OjoCAAYNmwYpFIpxowZgzt37uCvv/7CypUrNU41TZ06FUeOHMGyZctw9+5dzJ07F8HBwWXyFwKr3IKDg5GRkYH27dsLHYUxnaBUKjUKnHyzZ8/GvHnziv3QfFurV6+GUqlEy5Yt8b///Q9hYWEIDQ3Fjz/+qP4D2MjICK1bt8bixYsRGhqKoKAgfPXVV2/9nBMnTkRCQgKGDh2Ky5cv4+HDh/jnn38watSoN3qd1atXx/HjxxEVFYXExMRiX+eePXtw9+5dTJw4EYmJiRg9ejQAYMKECYiMjMTkyZNx9+5d7Nu3D3PmzMG0adOgp6eHixcvYuHChQgODsaTJ0+we/duxMbGom7dulAoFFAqlRpFTvXq1XHx4kVEREQgLi6uwCMvn376KY4fP4758+fj/v372LRpE3766Sd89tlnJX79ZabIjp0C5DccvXobOXIkEeU1E82ePZtkMhkZGBhQx44d1c1X+eLj42no0KFkampK5ubmNGrUKHVnd74bN25Qu3btyMDAgKpWrarRaJVvx44dVLt2bZJKpeTh4UEHDx58o9fCXyHXDQsXLiRTU1ONr1AyxgpXmo3H5e358+c0ceJEcnFxIalUSlWrVqU+ffqom4qJ8qYy8fT0JCMjI2rcuDEdPXq0wMbjl78iTVRwEy4R0f3796l///5kaWlJRkZG5O7uTgEBAerm34Ie17dvX/XnJhHR/v37qVatWqSvr1/sV8i3bt1KLVu2JKlUSvXq1aMTJ05ojCvqK+QhISHUtWtXsrOzIwMDA6pduzatWrWKiPI+m3v27Em9e/dWb+vevXvUunVrMjIyKtFXyCUSCVWrVk1jKhmivMbjV78R3ahRI42v0r+qNBqPRUTFnLjVYikpKbCwsEBycjLMzc2FjsPKSNeuXSEWi3lGbMZKKP90laur61udrmJlIyIiAq6urrh27Zq6JaQ0PX78GCkpKWjQoEGpb/ttFPVzWNLPb752FdNqCoUCZ86cgbe3t9BRGGOsQktNTYWZmZnQMUoVFzlMq+X343CRwxhjhVMoFMjKytK6Iken5slhukcul8PU1BRNmzYVOgpjjL2T6tWrFzs1wNtKTU0FAK0rcvhIDtNqcrkcXl5ehX61kzHGWN43pw0MDCCVSoWOUqq4yGFaS6FQ4OzZs3yqirG3pMPfS9E5FbEfpzR+/rjIYVrrypUrSE9P5yKHsTeUPwlrRkaGwElYeVAoFMjMzKxwRU7+z19RM1gXh4/hM63F/TiMvR2xWAxLS0v1JXiMjY1L5fpSrGJKSkoCkFdMvOl1q8oCESEjIwMxMTGwtLR8p1mTuchhWov7cRh7e/nXASzrCygy4SUkJCAzMxPPnj0TOooGS0vLIq9HWRL8259ppfz5cb7++muhozBWKYlEIlSpUgX29vZQKBRCx2FlaOrUqWjUqBHmz58vdBS1ly+U+i64yGFaiftxGCsdYrFY8IsssrITGxuLwMBAjBw5Uitnt+bGY6aVuB+HMcaKd+rUKQDQ2gsYc5HDtJJcLke7du24H4cxxoogl8tRs2ZNODk5CR2lTHCRw7QOX6+KMcZKRi6Xa/XvSi5ymNbhfhzGGCteXFwcbt++rdW/K7nIYVqH+3EYY6x42t6PA3CRw7RQfj/Ou8ySyRhj2i6/H8fZ2VnoKGWGixymVbgfhzHGSkYul2v1URyAixymZbgfhzHGihcXF4dbt25p/e9KLnKYVuF+HMYYK54u9OMAXOQwLRMUFMT9OIwxVoygoCDUqFED1apVEzpKmeIih2kN7sdhjLGS0fb5cfJxkcO0xtWrV5GWlqYTb1zGGHtb8fHxuHnzpk78ruQih2kN7sdhjLHi6Uo/DsBFDtMicrkcbdu25X4cxhgrglwuh6urq9b34wBc5DAtwf04jDFWMrrSjwNwkcO0BPfjMMZY8RISEnRifpx8XOQwrSCXy2FiYoJmzZoJHYUxxiqsU6dOgYh0oh8H4CKHaQm+XhVjjBUvvx/HxcVF6CjlgoscVulxPw5jjJWMLlyv6mVc5LBKj/txGGOseAkJCTozP04+LnJYpcf9OIwxVjxd68cBuMhhWoD7cRhjrHhBQUGoXr06qlevLnSUcsNFDqvUcnNzuR+HMcZKQJfmx8nHRQ6r1LgfhzHGipeQkIAbN27o3O9KLnJYpcb9OIwxVrzTp0/rXD8OwEUOq+S4H4cxxoonl8vh4uKiU/04ABc5rBLLzc3F6dOnde7wK2OMvSld7McBuMhhlVh+P46uHX5ljLE3kZiYqJP9OAAXOawSk8vlMDY2RvPmzYWOwhhjFVZ+Pw4XOYxVItyPwxhjxdPVfhyAixxWSXE/DmOMlYyuXa/qZVzksEqJ58dhjLHiJSYm4vr16zr7u5KLHFYpcT8OY4wV78yZMzrbjwNwkcMqKe7HYYyx4snlclSrVk0n+3EALnJYJcT9OIwxVjL58+OIRCKhowiCixxW6XA/DmOMFS8pKQnXrl3T2aZjgIscVgkFBQVxPw5jjBVDl+fHycdFDqt0uB+HMcaKJ5fL4ezsDFdXV6GjCIaLHFapcD8OY4yVTFBQkE734wBc5LBK5tq1a0hNTeUihzHGipDfj6Prvyu5yGGVCs+PwxhjxTtz5gxUKhUXOUIHYOxNyOVytG3blvtxGGOsCHK5HE5OTjrdjwMA+kIHYKw4YWFh2LFjB7Kzs3HixAlMnz5d6EiCSE1NxZo1a5CRkQFbW1v0798fTk5OQscSxPr16/H8+XOYmpqic+fOaNy4sdCRBPH333/jypUrkEqlaNasGTp37gw9Pd372/XKlSs4dOgQiAhubm7o378/DA0NhY4lKF2fH0eNdFhycjIBoOTkZKGjsFeoVCp69OgRERFFRUWRg4MD2djYEAAyNDSkCRMmUGZmpsApy0f+flCpVNS8eXNydHQkqVRKYrGY+vfvT0+ePBE4YfkIDw8npVJJRETjx48nR0dHMjExIQDk6elJZ86cEThh+YiPj6fExEQiIvrll1+oSpUqZGVlRQCoZs2a9McffwgbsJwoFAp6/PgxERFdv36d7O3tSSaTEQCysbGhL7/8klQqlcAphZGUlER6enr066+/Ch2lzJT081v3Sn5W4RERJk2ahKZNmyI+Ph4ymQwvXrzAzJkzYWRkhM8++wwSiQQGBgZCRy1zmzZtQu3atXHmzBmIRCJcvnwZz549Q1xcHFatWgU9PT1YW1sLHbPMXb58GY0bN8YPP/wAAFi3bh2ePXuGpKQk7N69G9bW1nBwcBA4ZdmLiYlB27Zt8dFHHwEAxo4di+fPnyM+Ph5nz55F8+bNYWNjI3DKspebm4uBAwfCx8cHOTk5aNSoEaKjoxEVFYX79+9j5MiRMDY21tmjGNyP85LSrq5yc3Ppq6++ourVq5OhoSHVqFGD5s2bp1FRq1Qqmj17Njk4OJChoSF17NiR7t+/r7Gd+Ph4GjZsGJmZmZGFhQWNHj2aUlNTNcbcuHGD2rVrRwYGBuTk5ETffffdG2XlIzkV07p16wgA/fzzz0RE9Cg2jRYfDqUG43+gxiPn0KPYNPXY6OhooWKWueDgYBKLxTR27Ni8IxhxD4gC5xDtHJX337gH6rGJiYmUnZ0tWNaylJycTPb29tS6dWv1ezUiOYJ+CP6Bpsun0w/BP1BEcgQREWVnZ6uPcmgjHx8fkslkdO/ePSIiyg4Pp+jvl9HTT6ZR9PfLKDs8nIjyfsfGxMQImLRsffHFF6Svr08HDhwgIqLEqHQ6t/sB/fPLLTq3+wElRqWrx2rz74jCfPbZZ+Tk5KTVR7JK+vld6kXOt99+SzY2NnTgwAEKDw+nnTt3kqmpKa1cuVI9ZvHixWRhYUF79+6lGzduUJ8+fcjV1VXj9EO3bt2oUaNGdOHCBTp9+jTVqlWLhg4dqvECZTIZ+fr60u3bt2nbtm1kZGRE69evL3FWLnIqHqVSSW5ubjR48GAiIhrwUQBZevlSjc8PUrXp+6j6zL/J0suXBnwUQIGBgSQWi+nBgwfFbLVyGj58OLm6upJCoaA54/rTPB9DorlWRHMtieZa0TwfQ5ozrj/FxMSQsbExbd26VejIZWL16tUkFovVp+UGTRpEsvdl1GhTI2q4qSE12tSIZO/LaPCkwdSwYUOaPHmywInLRnBwMAGg3bt3ExHRzIGDaLKtHYXU86CQuvUopJ4HTba1o5mDBtH48eOpRYsWAicuG2lpaWRhYUHTp08nIqIJo6dRrxZ+tNr/OK3++Dit9j9OvVr40YTR0+j3338nExMTSkpKEjh1+WrevDl9+OGHQscoUyX9/C71xuNz586hb9++6NmzJwCgevXq2LZtGy5dupR/5AgrVqzAV199hb59+wIA/vjjD8hkMuzduxdDhgxBaGgojhw5gsuXL6u/Krxq1Sr06NED33//PRwdHbFlyxbk5OTg999/h1QqhYeHB65fv47ly5dj3Lhxpf2yWDmRy+UICwvDb7/9hvC4dBy7G4uk01tABFi2HYrEs9uQfGYLjsEX813cUcXcHBt++gkLFiwQOnqpSkxMxIG//sLs2bOhHxUKcdhhfH0yCyDC7PYGmB+Uja/l2ZiHw7DLjoZ3ixbYuHo1hvbpI3T0UvfH2rUY2KMHnK2t8TgqFEHPghC9JxpEBPu+9ojZF4OYPTGQ95fjw17vY8uqjVg8ezaMjY2Fjl6qNq5eDTdHR/Tu0AE5oaHIOHkSq+JiASL429pibVwcVsXHYfKJk/hgwXxsXr8e186cQZMmTYSOXqr2/PkncpOTMWHkSCRFxOPJrQQcuLwRRED3ZsNxOHgzDgZvRC/4YeonPsjOzsaWLVswYcIEoaOXi+TkZFy9ehXjx48XOkrFUNrV1bfffksuLi7qw6n5DWF//vknERE9fPiQANC1a9c0Hvfee+/RlClTiIjot99+I0tLS431CoWCxGKx+q+Y4cOHU9++fTXGnDhxggBQQkJCgdmysrIoOTlZfYuMjOQjORXMrVu3aPHixaRSqWjx4VCqMesgWbTzJQAEsT4BIIt2vlRj+j5a/N5IIkD7bx0NiGab0TxvAwJAUjEIAM3zzltOHQ2Ez1hOtx8GyKjRbx5k39+eAJBIX0QAyL6/PTX6zYN+GCATPGN53KJt7Sikdh2abGNLAEgiytsPk21sKaR2HYq2tRM8Y3nczrUcQ6s/Oko9m/sRANLXkxAA6tk878jOud0PqFGjRjRhwgShf7WVmwMHDhAACgsLEzpKmRKs8fjzzz/HkCFD4O7uDolEgiZNmiAgIAC+vr4AgKioKACATCbTeJxMJlOvi4qKgr29vcZ6fX19WFtba4wpaBsvP8erFi1aBAsLC/XN2dn5HV8tK23169fHzJkzIRKJ8DQxE0QEy7ZDAbE+oMwFxPqwbDsUBOCphX2x29MKFnlv09ntDSAVAzlKQCrOu//yel3w3FYCEgH2fe0h0heBcgkifRHs+9qD/l2vCxT/zhPlb2sLiUgEBREkIhH8bW011mu7VLO8ZvPuzYZDX0+CXJUC+noSdG82HCAgNT4TYrEYSqVS4KTlRy6Xo2rVqqhZs6bQUSqEUj9dtWPHDmzZsgVbt25Vn0IKCAiAo6MjRo4cWdpP90ZmzZqFadOmqe+npKRwoVPBKBQKbN26Fa1bt4aTlRFEIhGSzmxVFzhQ5iLp7DbYtBsKp7HD0S3xPNzd3bFixQqho5e648ePAwA6Si4Cl9ZivjxDXeDkKIH5QdmY7W0MjJ2Mr6tn4dixYzh37pzAqUvf7du3cfPmTQwbNgyOt9ZAdH8LYva+UBc4lEuI2ReDKv0ckN6mO2w3bsajR49gbm4udPRS9eLFC+zatQuTJk2C5KfVwObNWBsdrS5wFERYGxcHf5kM6SNHwG7lSuzevRteXl5CRy9V6enp2Lx5Mz744AOYXcoE5C9w+PJmdYGTq1Lg8JXN6NFiOEytDZCSkqJTE+Lx9apeUdqHkJycnOinn37SWDZ//nyqU6cOEQl7uupV3Hhc8WRnZ5ODgwNNmDCBHsWmkaVX3qkqi3a+5DLzgPrUlaWXL4XHppFSqdTapsJevXpR48aNSRUbRvN8DAn49xTVHHP1qat5Pobqb1mV9Oe+slmwYAEZGRlRQkICRSRHkOz9vLlQ7PvbU/2N9dWnrmTvy+hx8mOt3Q/Hjh0jABQUFETZ4eE02dbuv1NUddzVp64m29pRdkQEJSUlqecV0iaxsbFkYGBAixcvpsSodOrVwk99iuqn8cfVp656tfCjxOh0ysnJobS0tOI3rAWSk5NJT0+PfvnlF6GjlDnBTldlZGS8NuOmWCyGSqUCALi6usLBwUH9VyqQd0Tl4sWL8PT0BAB4enoiKSkJV65cUY85ceIEVCoVWrVqpR5z6tQpKBQK9ZjAwEDUqVMHVlZWpf2yWDmRSqXw9/fHL7/8gkc3LqCTux0s2w2Djecg6IFg4zUMll6+8Kpujojbl6GnpwcLCwuhY5eJKVOm4Pr16/h+wx4o3bpjno9h3pEbkR5mextjno8hFLW6YnfQDQDQ2p/7sWPHAgDGjx+PqsZV4V3VG7L3ZajSrwr0RHqo0q8KZP1lqC2qDQdDB63dDx06dICHhwcmTJiANHNzGHfwwWRbO/jLZICeHvxlMky2tUN6g/pIMjKChYWFVs5+bGtriw8//BALFy7Ek+gHqNbAGr1a+KFHixEQiYAeLYajVws/WLtKEf7sHiQSCUxMTISOXS54fpwClHZ1NXLkSKpatar6K+S7d+8mW1tbmjFjhnrM4sWLydLSkvbt20c3b96kvn37FvgV8iZNmtDFixfpzJkz5ObmpvEV8qSkJJLJZDR8+HC6ffs2bd++nYyNjfkr5FogJyeHunbtSgYGBrTq22/pgZUjLX5vJE369TR9e+A2rdq4napXr04uLi6UlZUldNwy9eWXXxIAGj9+PKVH3lLPk6M6OocuHNxK7dq1I6lUSnfv3hU6apnas2cPicVi6ty5Mz169IgeJz9Wz5Pz5ZEvadC4QQSAtm/fLnTUMhUaGko2NjZUp04dOn36NGVHRKjnyXn0zTxa8sknJBaLaerUqUJHLVPJycnUpEkTsrS0pM2bN1Ni9H/z5AT9FULrf/ydbGxsqFWrVlo9V8yrpk+fTo6OjjrxmgWbJyclJYWmTp1K1apVU08G+OWXX2pMVJY/GaBMJiMDAwPq2LGj+ttY+eLj42no0KFkampK5ubmNGrUqCInA6xatSotXrz4jbJykVNxZWVl0YQJE+j7jh2JAIq1tKQ2bdqQvX3eqQlvb2+KiIgQOmaZU6lUtGLFCmrZsqX61EOXLl2oVq1aBIDc3d0pKChI4JTl4/Dhw1SnTh2KjIwkIqKAgABq0qRJ3qkre3udOERPRHTv3j3y9PSkvXv3EhHR+vXrqW3btiSRSMjIyIg+/fRTUigUAqcse0lJSTR48GD68ssviYjo4sWL5OnpSRYWFiQSiah///4UHx8vcMry1aJFCxo2bJjQMcpFST+/RUREgh1GElhKSgosLCyQnJysdU2K2uLFiBGosnkzHnl7Y56LC+zs7ODn5wcPDw+ho5UrIoJIJAIRwc/PD8bGxhg0aJDONRjm7wcAWLBgAR4+fIguXbrg/fff14nLfLwsf1/89ddfOHDgAJo1a4aRI0dq7em6wuTvhwsXLmDdunVwdnbG6NGjdarZGMj7PLO2tsbatWvVl/3QZiX9/OYih4ucCu1FtWqoEhmJ3N9/h/6oUULHYYyxCunw4cPo0aMH7t+/Dzc3N6HjlLmSfn5rX1ca0x6pqbB/+hQAoN+xo8BhGGOs4pLL5XB0dEStWrWEjlKhcJHDKizlqVMQEyHRygqoVk3oOIwxVmHJ5XKdO31dElzksAorZscOAEBOmzYCJ2GMsYorJSUFV65cQfv27YWOUuFwkcMqLJLLAQA2778vbBDGGKvAzp49C6VSyfPjFICLHFYxpaZCFhkJgPtxGGOsKEFBQahSpYpONBy/KS5yWIWk0Y/j4iJ0HMYYq7C4H6dwXOSwCilm504AQM6/l/pgjDH2utTUVAQHB/OpqkJwkcMqJHU/zgcfCBuEMcYqsPx+HG46LhgXOaziSUuD7MkTANyPwxhjRZHL5XBwcEDt2rWFjlIhcZHDKpz8fpwkS0vux2GMsSJwP07RuMhhFU5+P0429+Mwxlih0tLSuB+nGFzksAqHTp4EAFjz/DiMMVYonh+neFzksIrlpX4cSadOAodhjLGKi/txisdFDqtQlKdP/9ePU7260HEYY6zCksvlaN++PffjFIGLHFahqPtxWrcWOAljjFVcaWlpuHz5Mp+qKgYXOaxCoRMnAHA/DmOMFYX7cUqGixxWcaSlwT6/H6dzZ4HDMMZYxRUUFASZTIY6deoIHaVC4yKHVRjK06ehz/04jDFWLJ4fp2S4yGEVBvfjMMZY8bgfp+S4yGEVhornx2GMsWKdO3cOubm5fL2qEuAih1UM6emQPX4MgOfHYYyxosjlctjb28Pd3V3oKBUeFzmsQsjvx0m2sOB+HMYYKwL345QcFzmsQoj9tx8nq3VrgN+4jDFWoPT0dO7HeQNc5LAKQcnz4zDGWLHy+3G4yCkZLnKY8F7ux+H5cRhjrFDcj/NmuMhhglOeOZM3Pw734zDGWJH4elVvhoscJjiN+XH4jcsYYwVKT0/HpUuX+FTVG+AihwlOdfw4AMC6f3+BkzDGWMV1/vx57sd5Q1zkMGGlp8Oe+3EYY6xYcrkcdnZ2qFu3rtBRKg0ucpiglGfOQJI/P46rq9BxGGOswuL5cd4cFzlMUDE8Pw5jjBWL+3HeDhc5TFDq+XH69RM2CGOMVWDnz5+HQqHg61W9IS5ymHAyMiCLiADA/TiMMVYUuVwOW1tb1KtXT+golQoXOUww6n4cc3OgRg2h4zDGWIUVFBTE/ThvgYscJhi+XhVjjBUvIyMDFy9e5H6ct8BFDhOMkufHYYyxYuX343CR8+a4yGHCyMiAPffjMMZYsbgf5+1xkcMEoTx7FhIipHA/DmOMFYmvV/X2uMhhgsifHyezVSvux2GMsUJwP8674SKHCYL7cRhjrHgXLlzgfpx3wEUOK388Pw5jjJUI9+O8Gy5yWLlTnj0LiUqV149Ts6bQcRhjrMLK78fR0+OP67fBe42VO/X1qlq25H4cxhgrRH4/Dl/K4e1xkcPKXX4/jhX34zDGWKEuXLiAnJwc7sd5B1zksPKVmcn9OIwxVgJyuRw2Njbw8PAQOkqlxUUOK1fqfhwzM6BWLaHjMMZYhRUUFMT9OO+I9xwrVzE7dgAAsnh+HMYYK1RmZiYuXLjAp6reERc5rFxxPw5jjBWP+3FKBxc5rPy83I/TqZOwWRhjrAKTy+Wwtrbmfpx3xEUOKzeq8+chUamQamoKuLkJHYcxxiosnh+ndPDeY+Umvx8ng/txGGOsUFlZWXy9qlKiL3QApv2uXLmC2NhY1Pz7bzhAd69XFRYWhvDwcOjr66NevXpwcHAQOpIgoqKicOfOHahUKlSvXh1uOnpULz09HZcvX0ZWVhbs7e3RpEkTnbzKNBHh/PnzSElJgZmZGZo3bw4DAwOhYwnqwoULyM7O5iKnFPCRHFYmFAqF+t/fffcd+nXvDufnzwEAi86fR8S/vTnajoiQm5sLAPj777/RtWtXdOzYEc7Ozhg0aBAuXrwocMLyk/8zER4ejk6dOqFLly6oXbs23nvvPezatQtEJHDC8pG/H5RKJXr16oXu3bujWbNmqFu3LlauXIns7GyBE5aP/P0gEonwySefoHv37mjXrh2cnZ3xxRdfICYmRuCEwsnvx6lfv77QUSo9LnJYqYuPj0ebNm3wyy+/AADWr1+PiG3bYAggXiLB2mPHcPv2bWFDlgOlUomRI0di/PjxAAB/f39EREQgLCwMy5cvx82bN3Hw4EGBU5aPlStXok2bNsjIyEDr1q3x8OFDhIeHY/v27RCJRPjtt9+gUqmEjlnmTpw4gTp16uDhw4cwNzfH3bt38eTJExw7dgyNGzfGmjVrkJKSInTMMhceHo769evj0KFDAIADBw4gMjISly9fxtChQ7FhwwY8fvxY4JTC4X6c0lMme/DZs2f48MMPYWNjAyMjIzRo0ADBwcHq9USEr7/+GlWqVIGRkRE6deqEsLAwjW0kJCTA19cX5ubmsLS0xJgxY5CWlqYx5ubNm/Dy8oKhoSGcnZ2xZMmSsng57A2oVCr0798fERERaNGiRd7CrAxcO7wPB1o3xuWuPrgZfAm9evUCAK3+6/3zzz/Hli1b0PnfmZ310wHLUBWsLudihFsvXJdfxjfffANAu/fDrl27EBAQAG9vbxgZGSEhIQGPHj1CcHAwbGxssHv3bvz9998Qi8VavR/u3r2Lvn37ws3NDQ4ODsjICEdW9jYkJ38Pl+pX8fvvi3Dnzh3Y2dlp9X5IT09H9+7doVQqUbduXQBAqok5NmXr4VcjW9hPmYmg+w/Uvz+0eV8UJCsrCxcuXODrVZUSEZXyT1BiYiKaNGkCHx8f+Pv7w87ODmFhYahZsyZq/nvF6e+++w6LFi3Cpk2b4OrqitmzZ+PWrVsICQmBoaEhAKB79+548eIF1q9fD4VCgVGjRqFFixbYunUrACAlJQW1a9dGp06dMGvWLNy6dQujR4/GihUrMG7cuBJlTUlJgYWFBZKTk2Fubl6au0FnBQYGokuXLjh69Cg6d+6MCSOHI/zqJXSuWwsgAvTECAy5D9dmrZABPTg5OWHBggVCxy51sbGxcHJywldffYXZs2fji3GfIeduEgLajQQIgAhYcWYTpO6WsK/nhMDAQK08qkNEqF+/PqpXr44DBw7g448/RlhYmMYv8KCgILi5uWHAgAGYOnUqgoODYWxsLGDqsjF27Fj8888/CA0NxZw5o5GQcBzDh9uAQBBBhM2b42Ft3RGTJy9Br169sHnzZjRp0kTo2KXu119/xbhx43Dnzh3UrVsXH3w6A0cT02A+fFz+WwMpm39GF0tTpN25gX79+sHf31/o2OVGLpfDx8cH169fR6NGjYSOU2GV9PO71BuPv/vuOzg7O2PDhg3qZa6urup/ExFWrFiBr776Cn379gUA/PHHH5DJZNi7dy+GDBmC0NBQHDlyBJcvX0bz5s0BAKtWrUKPHj3w/fffw9HREVu2bEFOTg5+//13SKVSeHh44Pr161i+fHmJixxW+tasWYMGDRqgU6dOSHzxDOFXL+HI7fsgAjp7uCHwzn38c+c+ugFo3LY9Nq9bh9nTpmldo+HmdetgAmDCyJFQPIlHzt0kLDv9G0BAQNuRWHFmE5ad+Q2fYgxqtmiCLw8dQsjly6hXr57Q0UvVmdOnERESgtVLliDh2TOEhYXh5MmTICK0b98eQUFBkMvlAAB7MzM8CQ3Fzo0bMXLkSGGDl7LExETs3bIFM2bMgF72EyQkHMfGjQkACB8Ot8LmzYnYuDERfn7HYWOUiuyEBPy6ciVWr14tdPRSRUT4fdUqvN+1K+pWq4ZH8Yk4mpiGtA1rQQBMh49D2uafkb5hLY6O8kc7RyesXr0aH3/8sc40ZQcFBcHKygoNGjQQOop2oFJWt25dCggIoAEDBpCdnR01btyYfv75Z/X6hw8fEgC6du2axuPee+89mjJlChER/fbbb2RpaamxXqFQkFgspt27dxMR0fDhw6lv374aY06cOEEAKCEhocBsWVlZlJycrL5FRkYSAEpOTn7HV83yjRs3jv744w8iIjq1ZQMtG9KbunrUJgAk1tMjANTVozYtG9CdTjWoQ5R3fEerb0nvjaPI6Sfo03ZjCABJxRICQJ+2G0OR009S0nvjBM9YHrfAjh1p7uzZ5O3tnffzIBYTAPL29qa5s2dTYMeOgmcsj1vYGCs6ftSV/PysCABJJCAA5OdnRceOulLYGCvBM5bXbcHYyeQYeJlMRvkTAIIk771hMsqfHE9co6H7AwkAJSUlCfybrfx4e3tTv379hI5R4SUnJ1NJPr9LvSfn0aNHWLt2Ldzc3PDPP//A398fU6ZMwaZNmwDkfX0UAGQymcbjZDKZel1UVBTs7e011uvr68Pa2lpjTEHbePk5XrVo0SJYWFiob87Ozu/4atmr1q9fj+HDhwMAkmNjACJ09nCDWE8PSpUKYj09dPbI+8pwsomRkFHLTa6FAwARAtqOhFQsQY5SAalYgoC2I19ar/2SLCwAAO3bt4dYLIZSqYRYLFafuspfr+2yHPKqmg+HW0EiARQKQCLJu5+/XldEOjiCIILp8HF4eWeY/nvqKtUg73dEZmamsEHLSVZWFs6fP89fHS9FpX66SqVSoXnz5li4cCEAoEmTJrh9+zbWrVsn+CHoWbNmYdq0aer7KSkpXOiUsqysLNy+fRvNmzeHhZ09IBIh8PZ9dYGjVKkQeCcMXRrUQUynLjC5cB0hd+7AxcVF6OilSqVS4dKlS2jdujX0jz8DzkdjxZlN6gInR6nAirObENBuJLKH9YPJ3/Ow4fffMWjQIKGjl7pbt27BxcUFltevA5cuIUguVxc4SqUSQUFB8Pb2hsWYMagXHIyePXti6dKlQscudc+fP0dOTg4M9fZB9GIjNm+OUxc4CgXw5+ZEfDjcFoa+U+F37xrCw8MRFBQkdOxSl5qaioiICDRo0ADOkXEQvUhE2uaf8fLOSNv8MyyGj4N+Yjz09fVhaWkpdOxycfHiRZ4fp7SV9iGkatWq0ZgxYzSWrVmzhhwdHYlI2NNVryrp4S5WcnPmzCFzc3NKS0ujhOdPqVv9vFNVXT1q0/eDeqpPXXWrX5vinkbSyZMnhY5cJo4cOUIA6PLly5QTm0GfeuWdqvq03RiKnHlKferqU68xlBOTThcvXtTKn8OYmBjS19enVatWUVxcHPn4+BCQd4pqzpw56lNXPj4+FBcXR48ePaKHDx8KHbvUqVQqcnd3J19fX0pPf0R+ftb/naI6XkN96srPz5rS08MpPj6erly5InTsMjFq1CiqVasWKZVKepieRab/nqoyGeVPshPX1KeuTEf5093EFDp16pTQkcvN3LlzycrKipRKpdBRKjzBTle1bdsW9+7d01h2//599V/qrq6ucHBwwPF/r0YN5B1RuXjxIjw9PQEAnp6eSEpKwpUrV9RjTpw4AZVKhVatWqnHnDp1SmPSucDAQNSpUwdWVlal/bJYCY0aNQppaWn45ptvYFWlKqq71EQ3Dzd0qVsTIpEeujSog271a0PmXh/WjlW19i+WTp06wcXFBTNnzgQs9CF1t8SnXmMQ4DUSEAEBXiPxqdcYqKobQmUuRsuWLbXyG352dnbo168flixZAoVCATc3N/j4+MDb2xsikQje3t7w8fFBjRo1kJubC1dXV9SoUUPo2KVOJBJh7Nix2LFjB65ffwFr647w87PG8BG2APTw4XBb+PlZw9q6I6KjCdbW1mjatKnQscvE2LFj8eDBA6xduxY1jA3Q1coUpqP8YTF8HPQAWAwfB9NR/vAy0EMdSzN4eXkJHbncyOVyvPfeezw/Tmkq7erq0qVLpK+vT99++y2FhYXRli1byNjYmP7880/1mMWLF5OlpSXt27ePbt68SX379iVXV1fKzMxUj+nWrRs1adKELl68SGfOnCE3NzcaOnSoen1SUhLJZDIaPnw43b59m7Zv307Gxsa0fv36EmflIzllY9myZQSAPvnkE4oYPZoSTI3pcK8u9PeK7+jk5t/ol1U/kqGhoUZDujY6ceIESSQS6t69O4WHh5MiNoOSDj+iuK2hlHjoEZ3++wQ5OTnR6NGjhY5app48eUKOjo5Uu3ZtunjxIsXFxVFgYCDt3LmTAgMD6dKlS9S2bVuqX78+5ebmCh23zGRmZpKXlxeZm5vTjh07KDX1EYU9WEK3bk2hsAdL6MmTYBo9ejSZmJjQs2fPhI5bZlQqFU2ZMoVEIhEtWrSI0tPT6VF6Fi148IzG3w6nOaERNGvlKhKLxXTkyBGh45abzMxMMjQ0pB9++EHoKJVCST+/S73IISL6+++/qX79+mRgYEDu7u6vfZipVCqaPXs2yWQyMjAwoI4dO9K9e/c0xsTHx9PQoUPJ1NSUzM3NadSoUZSamqox5saNG9SuXTsyMDCgqlWr0uLFi98oJxc5ZeeHH34giURC95yciAA68+GHNGnSJKpSpQoBoGHDhmkUtdoqMDCQrKys6PvvvyeivMLns88+Iw8PDwJAzZs31+oPtHxhYWFUt25dGjBgABERPX78mKZNm0YdOnQgAOTg4EAXLlwQOGXZS0lJoZ49e1K1atUoNzeXlEolTZ8+nQYNGkQSiYQMDQ1p48aNQscsc/mvW19fnyIiIoiIaOXKlfTRRx+RpaUliUQimjZtmlYXva8KCgoqsJWDFaykn9+lPhlgZcKTAZat2MhImFevDgOVCrM/+AA7b99Ghw4d4O/vr1NzQKSnpwMATExMsGbNGixfvhyNGzeGv78/OnTooDPzfyiVSiQlJcHGxgZBQUEYP348HB0dMWbMGAwYMEDr5koqSkxMDOzt7ZGWloamTZvC3Nwcw4YNg5+fH6ytrYWOV27y9wMA9OjRA48fP0avXr0wfvx4rTxtWZR58+ZhxYoViIuL49NVJVDSz28ucrjIKTMquRx6Pj5IMzGBaWoqoCMf5owx9qY6dOgAMzMz7Nu3T+golUJJP7+5XGRlJnrnTgBARosWXOAwxlgheH6cssNFDiszuYGBAACr/v0FTsIYYxXXpUuXkJWVxUVOGeAih5WN7GzYP3wIAJD8exVuxhhjrwsKCoKlpSUaNmwodBStw0UOKxOqCxdgoFIhzcQEcHcXOg5jjFVY+fPjiMVioaNoHS5yWJmI3rEDAJDRvDn34zDGWCGys7Nx7tw5PlVVRrjIYWWC+3EYY6x4+f04+ReqZaWLixxW+rKzYf/oEQDux2GMsaLI5XJYWFigUaNGQkfRSlzksFKnungRBkol0o2Ngbp1hY7DGGMVFvfjlC0uclipy+/HSef5cRhjrFDZ2dk8P04Z4yKHlTrFv/04lv36CRuEMcYqsMuXLyMzM5OLnDLERQ4rXdnZkP07P46U+3EYY6xQ3I9T9rjIYaVKox+nXj2h4zDGWIUll8vh5eXF/ThliIscVqpi/r1eVTrPj8MYY4XKycnh+XHKARc5rFTlHD0KgPtxGGOsKNyPUz64yGGlJyfnv36cLl0EDsMYYxWXXC6Hubk5GjduLHQUrcZFDis13I/DGGMlw/PjlA8uclipicmfH4f7cRhjrFA5OTk4e/Ysn6oqB1zksFKj7sfp21fgJIwxVnHl9+Pw9arKHhc5rHTk5MCe+3EYY6xY3I9TfrjIYaVCdekSDLkfhzHGihUUFAQvLy/o6+sLHUXrcZHDSkX0y/04evxjxRhjBeF+nPLFn0asVCi4H4cxxooVHByMjIwMLnLKCRc57N3l5MD+wQMAfL0qxhgrCvfjlC8uctg7U/fjGBkBHh5Cx2GMsQpLLpejXbt23I9TTrjIYe9M43pV3I/DGGMFUigU3I9TzvgTib2zbO7HYYyxYnE/TvnjIoe9G4UCsrAwADw/DmOMFUUul8PMzAxNmjQROorO4CKHvRPux2GMsZKRy+U8P0454yKHvRP19aqaNeN+HMYYK4RCocCZM2f4Ug7ljD+V2DvhfhzGGCse9+MIg4sc9vYUCthzPw5jjBVLLpfD1NQUTZs2FTqKTuEih7011eXLMFIqkWFkBNSvL3QcxhirsPh6VcLgIoe9tfx+nDTux2GMsULl9+Pwqaryx59M7K1l//MPAO7HYYyxoly5cgXp6elc5AiAixz2dl7ux+HrVTHGWKG4H0c4XOSwt6LuxzE0BBo0EDoOY4xVWHy9KuFwkcPeSvS/16vifhzGGCscX69KWPzpxN5KDvfjMMZYsa5evYq0tDQucgTCRQ57czw/DmOMlQj34wiLixz2xlTBwTDKzeV+HMYYK0Z+P45EIhE6ik7iIoe9MfX1qpo25X4cxhgrBF+vSnj8CcXeWP78OBbcj8MYY4XifhzhcZHD3kxuLvfjMMZYCQQFBcHExATNmjUTOorO4iKHvRGNfpyGDYWOwxhjFRb34wiPixz2RrgfhzHGipebm4vTp0/zqSqB8acUeyNZ3I/DGGPF4n6cioGLHFZyubmQ3b8PgK9XxRhjRZHL5dyPUwFwkcNKLL8fJ5P7cRhjrEhyuRxt27blfhyBcZHDSiwm/3pVTZoAYrHAaRhjrGLKzc3FmTNn+FRVBcBFDiuxrCNHAADm3I/DGGOFunbtGlJTU7nIqQC4yGElk5sL+3/7cQx4fhzGGCuUXC6HsbExmjdvLnQUncdFDisSESEjIwNpp0/DWMf7cbKzs5GUlASlUil0FEHl5uYiKSkJCoVC6CiCUqlUSE5ORlZWltBRBEVESEtLQ1paGohI6DgVAs+PU3FwkcOKlD9j5zcdOgAAbltaIuzRI4FTlb+kpCRYWFjAysoKxsbG8PX1xdmzZ3Xyl3qLFi1gZWUFqVSKjh074n//+59OFjwTJ06EpaUljIyMUL9+faxZswapqalCxyp3mzdvhpmZGczMzFC1alXMmTMHT58+FTqWYPLnx+HrVVUMXOSw15w/fx6jR4+GUqnEe++9h23btuFDJycAwL7kZHTr1g05OTkCpyx7z549w4ABAxAfHw9LS0vs27cPO3bswDfffINLly6hY8eOePjwodAxy1xWVhZGjhyJa9euAQB++eUX7NixA2vWrEF2djYGDBiA/fv3C5yy7BERFixYgD/++AMAMHPmTPz111/YuHEj6tSpgylTpuCbb74ROGX52L9/Pz777DMQEQYMGICtW7di69at6Nu3L5YvX44hQ4bo5B8AAPfjVDikw5KTkwkAJScnCx2lwrh9+zaZm5tTu3bt/tsvCgWl6+sTAZR17hw9efJE2JDlICkpierVq0fOzs509+7d19YrlUp68OCBAMnKl0qlooEDB5KhoSEdPHiwwDH3798v51TC+P777wkAffvttwWuj4iIoOzs7HJOVf5OnDhB+vr69P7771NOTs5r65OSkigqKkqAZBXD0qVLydjYWCd+FoRU0s/vMi9yFi1aRABo6tSp6mWZmZk0YcIEsra2JhMTE3r//fdfe1M8fvyYevToQUZGRmRnZ0efffYZKRQKjTEnT56kJk2akFQqpZo1a9KGDRveKBsXOa/r06cP1a5dm1JSUoiI6FFsGi3+/QRN6j2dFnQYTY+i8vbVnTt3aOTIkVr7Rl64cCEZGhr+V+DEPSAKnEO0c1Tef+PyCpz4+Hjy9/cvsBDSBidPniQAtH37dvWyiOQI+iH4B5oun04/BP9AEckRpFKp6JtvvqHdu3cLmLbsxMfHk6GhIQUEBKiXZYeHU/T3y+jpJ9Mo+vtllB0eTkREW7dupe+++06gpGVLpVJRw4YNycvLS13gJEal07ndD+ifX27Rud0PKDEqnYiIzp07R/7+/qRSqYSMXO569uxJnTt3FjqG1qsQRc6lS5eoevXq1LBhQ40i5+OPPyZnZ2c6fvw4BQcHU+vWralNmzbq9bm5uVS/fn3q1KkTXbt2jQ4dOkS2trY0a9Ys9ZhHjx6RsbExTZs2jUJCQmjVqlUkFovpyJEjJc7HRY6miIgI0tPTo/Xr1xMR0YCPAsjSy5dqzNhPrtP3UY3p+8nSy5cGfBRAt2/fJgC0bds2gVOXvtzcXKpWrRqNGjWKiIjmjOtP83wMieZaEc21JJprRfN8DGnOuP6UlZVFtra2Gj/f2mTgwIFUt25d9QfVoEmDSPa+jBptakQNNzWkRpsakex9GQ2ePJi6dOlCrVq1Ejhx2Vi2bBlJJBKKjo4mIqKZAwfRZFs7CqnnQSF161FIPQ+abGtHMwcNoq+//ppMTEy08vfK2bNnCYD69+yE0dOoVws/Wu1/nFZ/fJxW+x+nXi38aMLoaXT48GECQOfOnRM4dflRKBRkbm5e6NE+VnpK+vmtX1anwdLS0uDr64tffvkFCxYsUC9PTk7Gb7/9hq1bt6LDv82sGzZsQN26dXHhwgW0bt0aR48eRUhICI4dOwaZTIbGjRtj/vz5mDlzJubOnQupVIp169bB1dUVy5YtAwDUrVsXZ86cwQ8//ICuXbuW1cvSaufPn4dMJsOwYcMQHpeOY3djkXR6C4gAy7ZDkXR2G5LPbMEx+GKpuT28mjbFP7t3Y0jv3kJHL1UP7t2DJCcHY4YMAZ7egjjsML4+mQUQYXZ7A8wPysbX8mzMw2EYxIZh5IABOLx3L/Dtt0JHL3X3r12D/5gxEGVk4HHqEwQ9C0L0nmgQEez72iNmXwxi9sRA3l+OOYNn4LMxnyImPBz29vZCRy9Vty5cwPD334e9iQlyQkORcfIkVsXFAkTwt7XF2rg4rIqPw+QTJzHuo4/w/bx5OHX4MHr16iV09FJ1WS5HM3d3dG7TBkkR8XhyKwEHLm8EEdC92XAcDt6Mg8Eb0Qt+aPVtOzg4OGD//v3w9PQUOnq5uH79OlJSUrjpuCIpqyprxIgR6kO77du3V/+le/z4cQJAiYmJGuOrVatGy5cvJyKi2bNnU6NGjTTWP3r0iADQ1atXiYjIy8vrtb+ef//9dzI3Ny80U1ZWFiUnJ6tvkZGRfCSnEIsPh1KNWQfJop0vASCI9QkAWbTzpRrT99Hi90YSAdp/62hANNuM5nkbEACSikEAaJ533nLqaCB8xnK6/TBARo1+8yD7/vYEgET6IgJA9v3tqdFvHvTDAJngGcvjFm1rRyG169BkG1sCQBJR3n6YbGNLIbXrULStneAZy+N2ruUYWv3RUerZ3I8AkL6ehABQz+Z5R3bO7X5AjRo1ogkTJgj966zcLF26lIyMjLT2NH5FUtIjOWXy7art27fj6tWrWLRo0WvroqKiIJVKYWlpqbFcJpMhKipKPUYmk722Pn9dUWNSUlKQmZlZYK5FixbBwsJCfXN2dn6r16fNsrOzkZOTg6eJmSAiWLYdCoj1AWUuINaHZduhIABPLbTrL/VCWeS9RWa3N4BUDOQoAak47/7L63XBc1sJSATY97WHSF8EyiWI9EWw72sP+ne9LlD8O/eJv60tJCIRFESQiETwt7XVWK/tUs0cAOQdwdHXkyBXpYC+ngTdmw0HCEiJz0RsbCzMzMwETlp+8q9XJZVKhY7C/lXqp6siIyMxdepUBAYGwtDQsLQ3/05mzZqFadOmqe+npKRwofOS1NRUuLm5YdGiRXCq4gmRSISkM1vVBQ6UuUg6uw027YbCaexw7B/aBKampurTjtqkV69eqF69On4a5AhcWov58gx1gZOjBOYHZWO2tzEwdjKCp3TBvXv34OvrK3TsUvfNN9/g0KFDuHDhAhxvr4Xo/hbE7H2hLnAolxCzLwZV+jnApN9IrHQ2xpQpUyASiYSOXqr+/vtvjB07FiEhIZBs3QZs3oy10dHqAkdBhLVxcfCXyaAaPx4r9MXw8/N77Y+5yi48PByenp7Ytm0bzDJqAvIXOHx5s7rAyVUpcPjKZvRoMRymVgZYtGgRPDw8hI5dLpRKJU6fPo0ZM2YIHYW9rLQPIe3Zs4cAkFgsVt8AkEgkIrFYTMeOHSNAmNNVr+LG49f16NGD6tWrR3eexJKlV96pKot2vuQy84D61JWlly+FvUgSOmqZmjdvHhkbG9Pjaydono8hAf+eoppjrj51Nc/HkHKitPNbVfmOHj1KAGjv3r0UkRxBsvdlBOSdoqq/sb761JWsv4weJz8WOm6ZiY2NJQMDA/r8888pOzycJtva/XeKqo67+tTVZFs7yo6IEDpumVGpVOTh4UEdOnSguOcp1KuFn/oU1U/jj6tPXfVq4Ufxz1OFjluugoODCQCdOXNG6Cg6QbDTVR07dsStW7dw/fp19a158+bw9fVV/1sikeD48ePqx9y7dw9PnjxRN6d5enri1q1biImJUY8JDAyEubk56tWrpx7z8jbyx+hKg1tZWbBgAR4/foypo4eifQ0LWLYdBhvPQdADYOM1DJZevqiijMHoQb21ekLAiRMnwtHRET4fjEVSFS/M8zHMO3Ij0sNsb2N842OICKP6qNu2Jx4/fix03DLTsWNH9O7dG76+vgg5GwLvqt6QvS9DlX5VoCfSQ5V+VWDf3x6KEAXCLocJHbfM2NraYvbs2Vi8eDF+3LULRj7emGxrB3+ZDNDTg79Mhsm2drgk1sPq3buFjltmRCIRli1bhqCgIEyd7g+nehbo1cIPPVqMgEgE9GgxHL1a+CE2JxwTPhkLIhI6crmRy+UwMjJCixYthI7CXlYeFdfLjcdEeV8hr1atGp04cYKCg4PJ09OTPD091evzv0LepUsXun79Oh05coTs7OwK/Ar59OnTKTQ0lFavXs1fIS8lJ0+eJAsLC/Jr0IDCLavQAp9R1G/xXur1xS/kWKcRiUQiWrFihdAxy1x4eDjVqVOHTE1NKePpbaLAOfR0RRe6vKgX9WjtTgBoxIgRBU6Ipk3S0tKoR48eBIAuXbpEj5Mf06d7P6UBGwdQq89akdReSi1btqSYmBiho5YplUpFn3/+OQGglStXUnZEBN35fBadGzCQfm3vTTWNjalKlSp07do1oaOWue3bt5NUKqWhQ4dSYnQ6BW6+Tr/OOUwLJv1MNZ3rklQqpb/++kvomOWqV69e1LFjR6Fj6IwKMU9OvleLnPzJAK2srMjY2Jj69+9PL1680HhMREQEde/enYyMjMjW1pY+/fTTAicDbNy4MUmlUqpRowZPBliKnj17RteHDycC6JGHB4lEIjIxMaHx48fTjRs3hI5XblJTU+nEiRNElDfLsVgsJj09PerXrx8dPXpUZyY6y83NpUOHDqlfb9u2bQkAeXp60h9//EFZWVkCJyw/586do9jYWCIimjZtGgGgGjVq0NKlSykuLk7gdOXnwYMHFBISQkREO3bsIABkbW1Nn332mU7MBv6y3NxcMjc3p/nz5wsdRWeU9PNbRKRDxxNfkZKSAgsLCyQnJ8Pc3FzoOBVORIMGqH77NjK++QZpH38MS0tLnf7WABEhOjoa5ubmMDY2FjqOoOLi4iCRSGBhYSF0FEElJydDqVTC0tISenq68027V2VmZiItLQ1WVlbQ1y+z6dcqrKtXr6JZs2Y4ffo02rVrJ3QcnVDSz2/d+2lkJaNUwu7ePQCAcY8eMNayyd3ehkgkgoODg9AxKgTbf78uret0vcjLZ2RkBCMjI6FjCIb7cSou3f3TgxWJrl+HiUKBLAMDoHFjoeMwxliFJZfL0aZNGxgYGAgdhb2CixxWoOi//gIApDZuDOjg4WfGGCsJpVKJU6dOwdvbW+gorABc5LACZR45AgAw79NH4CSMMVZx3bhxA8nJyXy9qgqKixz2OqUS9nfvAgAMunQROAxjjFVccrkchoaGaNmypdBRWAG4yGGvoRs38vpxpFLux2GMsSIEBQVxP04FxkUOew334zDGWPG4H6fi4yKHvSbz8GEAgAX34zDGWKFu3ryJpKQkLnIqMC5ymCalEnb/9uNIuR+HMcYKxf04FR8XOUwD3bgB0/x+nCZNhI7DGGMVllwuh6enJ/fjVGBc5DAN3I/DGGPF436cyoGLHKYhI39+nF69BE7CGGMV161bt7gfpxLgIof9R6X6b36crl0FDsMYYxUX9+NUDlzkMDW6cQOmOTnIlkqBpk2FjsMYYxVWfj+OoaGh0FFYEbjIYWrRO3YAAFIaNeJ+HMYYK4RKpeJ+nEqCixymlnnoEADAvHdvgZMwxljFdfPmTSQmJvL1qioBLnJYHpVKPT8OX6+KMcYKJ5fLYWBggFatWgkdhRWDixwGAKCbN7kfhzHGSiAoKIj7cSoJLnIYgP/6cVIbNgQkEoHTMMZYxaRSqRAUFMT9OJUEFzkMAJDxbz+OGffjMMZYoW7duoXExEQucioJLnJY3vw4oaEAeH4cxhgrCvfjVC5c5DDux2GMsRKSy+Vo3bo19+NUElzksP/6cRo04H4cxhgrBM+PU/lwkcO4H4cxxkrg9u3bSEhI4CKnEuEiR9epVLDjfhzGGCtWfj9O69athY7CSoiLHB1Ht27BLCcH2RIJ0KyZ0HEYY6zC4n6cyoeLHB0Xw/PjMMZYsfLnx+FLOVQuXOTouHTux2GMsWJxP07lxEWOLlOpYBsSAoCvV8UYY0UJCgqCVCrlfpxKhoscHUa3b8M8Jwc5EgnQvLnQcRhjrMLK78cxMjISOgp7A1zk6LD8fpwUnh+HMcYKxderqry4yNFh6QcPAuB+HMYYK8qdO3cQHx/PRU4lxEWOrnq5H4fnx2GMsULJ5XLux6mkuMjRUXTnDvfjMMZYCcjlcrRq1Yr7cSohLnJ0VDT34zDGWLH4elWVGxc5Okrdj9Orl8BJGGOs4goJCUFcXBwXOZUUFzm6SKWCHffjMMZYsbgfp3LjIkcH0Z07MM/O5n4cxhgrRn4/jrGxsdBR2FvgIkcHqftx6tcHpFKB0zDGWMXE16uq/LjI0UF8vSrGGCse9+NUflzk6Boi2N25A4CvV8UYY0UJCgqCRCKBp6en0FHYW+IiR8eo+3H09YEWLYSOwxhjFRb341R+XOToGI3rVXE/DmOMFYiIIJfL+VRVJcdFjo5J4/lxGGOsWNyPox24yNElRLDN78fh+XEYY6xQcrmc+3G0ABc5OoRCQmDB/TiMMVYsuVyOli1bcj9OJcdFjg6J4flxGGOsWESEoKAgPlWlBbjI0SFpBw4A4H4cxhgrSmhoKGJjY7nI0QJc5OgK7sdhjLES4X4c7cFFjo6g0FDux2GMsRKQy+Vo0aIFTExMhI7C3hEXOTpCox/HwEDgNIwxVjFxP4524SJHR+T345hyPw5jjBXq7t27iImJ4SJHS3CRo+WGDx8O9zp1YHb1KgAgoX59gRMJY8mSJahbty4aNWoEPz8/XLx4EUQkdKxyd/jwYTRo0AAeHh7o06cP9u/fD6VSKXSschcZGYnGjRvD3d0d3t7e+Pnnn5GWliZ0rHKnUqnQuXNnuLu7o2XLlpg/fz5evHghdCxByeVy6Ovro02bNkJHYaWAixwt9Ntvv+Hp06cAgP79+2Nk69awJ0ImgBpDhmDTpk3CBiwncrkcp06dAgB07twZ3bp1Q9u2bREUFITWrVtj0qRJAicsHxEREfjjjz8AAJ6envDx8UGnTp0QFRWFvn37olWrVlCpVAKnLHtpaWlYvnw5VCoVnJ2d0bt3b/To0QMmJibw9/dHtWrVEBUVJXTMMkdEWLlyJZKTk6Gnp4fBgwejZ8+eqFWrFhYvXoxq1arh+PHjQscUTP78ONyPoyVIhyUnJxMASk5OFjpKqVmxYgUBoGXLlqmXRc2ZQwRQdIMGtHnzZsrKyhIuYDkJCgoiqVRKAwcOfG1dbm4u7du3jyIjIwVIVr4iIyPJycmJ3NzcKCMj47X1ly9fprNnzwqQrHxlZWVR+/btydTUlEJDQ19bHxERQfv27RMgWfmbNm0aAaCdO3e+ti4xMZH+/PNPUiqVAiQTnkqlInt7e/riiy+EjsKKUdLP71IvchYuXEjNmzcnU1NTsrOzo759+9Ldu3c1xmRmZtKECRPI2tqaTExM6P3336eoqCiNMY8fP6YePXqQkZER2dnZ0WeffUYKhUJjzMmTJ6lJkyYklUqpZs2atGHDhjfKqm1FTnh4OOnp6dG0adPUyxKeP6V9nb3p79aN6cT4UZTw/CkREZ04cYLOnTsnVNQylZubS9WqVSNvb2/Kzs4mIqKc2AxKOvyI4raGUtLhR5QTm/eBf+fOHdq9e7eQccvUBx98QFWrVqVnz54REVFcXBwFBgbSzp07KTAwkOLi4oiI6MWLF/Trr78KGbVMLV26lCQSCZ0+fZqIiNLTH1HYgyV069YUCnuwhNLTHxERUVpaGv3888+UmpoqZNwyc+bMGQJAK1asICKih+lZtODBMxp/O5wWPHhGD9Pz/gBSKpW0b98+unPnjpBxy11ISAgBoH/++UfoKKwYJf38FhGVbmNCt27dMGTIELRo0QK5ubn44osvcPv2bYSEhKgP//n7++PgwYPYuHEjLCwsMGnSJOjp6eHs2bMAAKVSicaNG8PBwQFLly7FixcvMGLECHz00UdYuHAhACA8PBz169fHxx9/jLFjx+L48eMICAjAwYMH0bWE88CkpKTAwsICycnJMDc3L83dIIhZs2Zh7dq1ePbsGUxMTDBh5HCEX72Ezu418waIxQi8cx+uzVrh1sNwSCQSnDhxQtjQZWD//v3o27cvgoOD0axZM3wx7jPk3E1CQLuRAAEQASvObILU3RIKCxF+//13PH36FEZGRkJHL1XPnj2Di4sLVq5ciYkTJ2L8+PEICwtD+/bt1WOCgoLg5uaGLl26YMCAAbh+/ToaNWokYOrSp1Kp4ObmhjZt2mDz5s349NNBSEg4juHDbUAgiCDC5s3xsLbuiClTlqJGjRpYs2YNxo8fL3T0Uufr64tLly7h3r17GDj9cxxNTIP58HH5bwukbP4ZXa1M8deSRahZsyZ8fHywYcMGoWOXm7Vr12LKlClITEyEqamp0HFYEUr8+V3W1VZMTAwBoKCgICIiSkpKIolEonGoNDQ0lADQ+fPniYjo0KFDpKenp3F0Z+3atWRubq7+y3zGjBnk4eGh8VyDBw+mrl27ljibth3JcXZ2pgkTJhBR3hGcbvVrEwDq6lGbvh/Uk7p65N3vVr82/bHyBzIG6HlYGFFamlbdhr//PrVp1IgoLY1yHsfRp15jCAB92m4MRc48RZ+2+/e+1xh6cPoqGQO0b+tWwXOX9u3HRYvI2sCAkp8/p7jISPLx8SEA5O3tTXPmzCFvb28CQD4+PhQVHk6u9vb0ZUCA4LlL+3bh+HEyBuj0kSOUHneH/PysCQD5+VnRseM1yM/P6t/71pQeF0Lvd+1Kndu0ETx3ad+y4uPJQl+fls+fTw/jEsh0lD8BIJNR/iQ7cY1M/r1vOsqfHqVn0fz588nQ0JByc3OF/cVWjgYPHkyenp5Cx2AlINjpqleFhYURALp16xYRER0/fpwAUGJiosa4atWq0fLly4mIaPbs2dSoUSON9Y8ePSIAdPXqVSIi8vLyoqlTp2qM+f3338nc3LzQLFlZWZScnKy+RUZGalWR8/z5c0pISCAiolNbNtCyIb3VhY1YT09d8Cwb0J1ONahDBGj9Lem9cRQ5/YS6sJGKJf8VPNNPUtJ74wTPWB63wI4dae7s2erCRiwWU37BM3f2bArs2FHwjOVxCxtjRcePuqoLG4kEpC54jrpS2BgrwTOWx23B2MnkGHhZXdhAkve+MBnlT44nrtGCB89o586dBIDi4+MF/s1WPlQqFclkMpo1a5bQUVgJlLTIKdNvV6lUKgQEBKBt27ao/+9Xl6OioiCVSmFpaakxViaTqb/ZEBUVBZlM9tr6/HVFjUlJSUFmZmaBeRYtWgQLCwv1zdnZ+Z1fY0VSpUoVWFlZAQCSY2MAInT2cINYTw9KlQpiPT109nDLW2+iXadmCpNr4QBAhIC2IyEVS5CjVEAqliCg7ciX1mu/JAsLAED79u0hFouhVCohFovVp67y12u7LIe8qubD4VaQSACFApBI8u7nr9cFkQ6OIIhgOnwcXt4Rpv+euorMykFGRgYAwNDQUNiw5eTevXuIjo7m+XG0jH5ZbnzixIm4ffs2zpw5U5ZPU2KzZs3CtGnT1PdTUlK0qtD5448/8L///Q/79u2DhZ09IBIh8PZ9dYGjVKkQeCcMXRrUQVb/ARhk7YjNmzfDQMtmQL506RI+++wzHDhwAPqXU4Hz0VhxZpO6wMlRKrDi7CYEtBuJ7GH9MUJyG7NmzULdunWFjl6qYmJiMGLECMybNw+WWVnApUsIksvVBY5SqVTP7GoxZgxmVqmC5s2bY+DAgUJHL1VEhI8++gjNmzdHpx7ZEL3YiM2b49QFjkIB/Lk5ER8Ot4Wh71T8ameCFy9eYPbs2UJHL3UrVqzAgwcP4Ow7FKIXiUjb/DNe3hFpm3+GxfBxcDaUwtHREUOHDtW6XrXC8Pw4WqqsDiVNnDiRnJyc6NGjRxrLhTxd9Spt68nZs2cPAaBz584V25OT8OKZ0HHLTGRkJInFYlq2bBnlxGYU2ZOjiH39a9XaQqlUkqurKw0cOJDi4uKK7MnJ/5aVthoyZAjVqlWLEhPvFt2Tkx4udNQytXLlStLX16eg+w+K7cnRNYMHD6bWrVsLHYOVkGCnq4gIkyZNwp49e3DixAm4urpqrG/WrBkkEonGZFP37t3DkydP1Fd89fT0xK1btxATE6MeExgYCHNzc9SrV0895tUJqwIDA3X6qrG9evVCkyZNMHDgQMSkpMHRxALdPNzQpV4tiER66NKgDrrVr404lR6exsYLHbfMODk5YezYsZg1axYCL52E1N0Sn3qNQYDXSEAEBHiNxKdeY3BPEYl9QYeEjltm9PT08PXXX2Pnzp1Yt24d3Nzc4OPjA29vb4hEInh7e8PHxwdSqRQ//vgjiEjoyGVmxowZiIyMxJgxX8DS0gd+ftYYPsIWgB4+HG4LPz9rAE3w8cdfq0/TaKORI0eiatWqmNC/L9obSWA6yh8Ww8dBD4DF8HEwHeWP94z0MX2EL548eSJ03HJDRJDL5XyqSguV+umqiRMnYuvWrdi3bx/MzMzUPTQWFhYwMjKChYUFxowZg2nTpsHa2hrm5uaYPHkyPD090bp1awBAly5dUK9ePQwfPhxLlixBVFQUvvrqK0ycOFF9auXjjz/GTz/9hBkzZmD06NE4ceIEduzYgYMHD5b2S6o09PX1cfDgQXTs2BHNmzfHaScnuDx9hiutWyPOtToinr/Ak4xbeJ6QhPT0dKHjlqkff/wRL168QO/evfHTTz/ho4V+SL7wFJkxaXgY8xi3FeEIvCRH/+TBQkctU35+fnjy5Am++uorjBo1Cjt37sSVK1cQExOD1NRUmJmZYf/+/ahRo4bQUctUkyZNsGPHDgwaNAhubm44d+4SoqP/h+TkR0hLM4CJyQv88ss+tGzZUqsvc2FhYYHDhw+jc+fOuPDXFhw4cx5nJCZ4lJoO8+xMZLlUwY4fV8DExARZWVlCxy039+/f534cbVXah5AAFHh7eaK+/MkAraysyNjYmPr3708vXrzQ2E5ERAR1796djIyMyNbWlj799NMCJwNs3LgxSaVSqlGjhs5PBpgvISGBvp49mxIMDYkAmtasGQEgIyMjGjt2LN2/f1/oiOUiNzeXfvrpJ7p58yYREX311VcEgEQiEfXu3ZtOnTolcMLys3//fvWMvv/884/6fdmyZUv6888/SaVSCZywfFy5coVWr15NREQpKSnq/VC9enVavHgxZWZmCpywfDx9+pTmzp2rntnYzc2NAJClpSV98skn9Pz5c4ETlq9169aRWCzW2kkgtZFgkwFWJto2GeDL6O5diOrWhUIsRnBgIJKysuDp6fnat9p0yd27d/HgwQM0aNAALi4uQscRzLNnz3Djxg04OTmhYcOGQscRTFZWFgIDA2FlZQVPT0+IxWKhIwnm+PHjUKlUaNu2LYyNjYWOU+6GDh2KiIgInD9/XugorIRK+vldpt+uYsKJ2bkTMgAp9erB08dH6DgVgru7O9zd3YWOIbiqVauiatWqQscQnKGhIXr37i10jAqhY8eOQkcQDP3bj+Pn5yd0FFYG+CrkWir1wAEAgEmvXgInYYyxiuv+/fuIiorSuNwJ0x5c5GgjItjcugUAMCzhdbwYY0wXyeVyiMVitG3bVugorAxwkaOF6P59WGVmQiEWA61aCR2HMcYqrKCgIDRv3hxmZmZCR2FlgIscLRSzYweAvH4c6MiU7Iwx9qaI58fRelzkaKH8fhzTnj0FTsIYYxVXWFgYXrx4wUWOFuMiR9sQwfrffhwD7sdhjLFCcT+O9uMiR8tQWBis8/tx/p1BmjHG2OvkcjmaNWvG/ThajIscLaPux6lbl/txGGOsEESEoKAgPlWl5bjI0TKpf/8NgPtxGGOsKA8ePMDz58+5yNFyXORoE+7HYYyxEuF+HN3ARY4Wye/HyeV+HMYYK1J+P462XbeQaeIiR4vE7NwJAEiuWxcwMhI4DWOMVUz58+PwpRy0Hxc5WiTl334ckx49BE7CGGMVF/fj6A4ucrQFEWxu3gTA16tijLGiBAUFQU9PD+3atRM6CitjXORoCXrwgPtxGGOsBLgfR3dwkaMlYvP7cdzdAWNjgdMwxljFxNer0i1c5GiJlP37AXA/DmOMFeXhw4d49uwZFzk6goscbUAEq3/nxzHs1k3gMIwxVnHJ5XLux9EhXORoAXr4EDYZGcjV0+N+HMYYK4JcLkfTpk25H0dHcJGjBfLnx0nhfhzGGCsUX69K93CRowXy+3GMuR+HMcYK9ejRIzx9+pSLHB3CRU5lRwTr/PlxuB+HMcYKxf04uoeLnEpOox/H01PoOIwxVmHl9+NYWFgIHYWVEy5yKrkYnh+HMcaKxder0k1c5FRy6vlxuncXOAljjFVc3I+jm7jIqcyIYMX9OIwxViy+XpVu4iKnEqNHj2DL/TiMMVYsuVyOJk2awNLSUugorBxxkVOJxezYAQBIqVMHMDEROA1jjFVMfL0q3cVFTiWW8vffAHh+HMYYK0p4eDgiIyO5yNFBXORUVi/343TtKnAYxhiruORyOUQiEffj6CAuciopCg+HbXo6lHp6QJs2QsdhjLEKi/txdBcXOZVUbP78ONyPwxhjheLrVek2LnIqqeR9+wAAxjw/DmOMFSoiIgJPnjzhIkdHcZFTGfH8OIwxViL5/TheXl5CR2EC4CKnEuJ+HMYYKxnux9FtXORUQrG7dgEAkmvX5n4cxhgrAl+vSrdxkVMJJXE/DmOMFYv7cRgXOZWQ1Y0bALgfhzHGisL9OIyLnEqGwsNhx/04jDFWLLlcjsaNG8PKykroKEwgXORUMur5cWrXBkxNBU7DGGMVF1+vinGRU8lwPw5jjBUvIiICjx8/5qZjHcdFTiWj7sfh61UxxlihuB+HAVzkVCrqfhyRCGjbVug4jDFWYQUFBaFRo0awtrYWOgoTEBc5lYjG/Djcj8MYY4XifhwGcJFTqXA/DmOMFS8iIgIRERFc5DAucioTq+vXAfD8OIwxVpSgoCDux2EAuMipNCgi4r9+HJ4fhzHGCiWXy9GwYUPux2Fc5FQW6n4cNzfAzEzgNIwxVnFxPw7Lx0VOJZG0dy8A7sdhjLGiPH78mPtxmBoXOZWEJV+vijHGipXfj/Pee+8JHYVVAFzkVAIUEQH7tDSeH4cxxorB/TjsZfpCB2CFu3LlCtavX48G169jMoD46tVhr4P9OPHx8Zg9ezYyMzNhZ2eHwYMHo1mzZkLHKndEhC+//BLPnz+HmZkZunfvjq5du0IsFgsdrdz98ssvOH/+PAwMDNCyZUsMHjwYxsbGQscqd8eOHcP27dshEolQu3ZtjBw5Evb29kLHEpRcLkefPn2EjsEqCD6SU8Hk5OTg8uXLAIBq1arhxo0bcAgNBQBsDA/HBx98AIVCIWTEckFEOHv2LADA2toakZGRuHfvHjZv3ozmzZujVatWePLkicApy8fFixehUCggEomgUqlw//59HDlyBD179oSbmxtOnjwpdMRyERYWhujoaACAsbExQkNDcf78eYwZMwZVq1bF2rVrBU5YPlJSUnDr1i0AgEwmw61bt3Djxg18/fXXcHJygr+/P4hI4JTCePz4McLDw/l6Vew/pMOSk5MJACUnJwsdhYiIcnJyqFu3bmRlZaWRKcrUlAigg5Mm0apVqwRMWH6+/PJLAkCXL1/WWK5QKGjv3r00Y8YMys3NFShd+dm9ezeJxeLX/r+rVCq6cOECTZgwgRISEgRKV35CQkLI1taWfH19X1v34MEDmjZtGt24cUOAZOUrOTmZmjRpQm5ubqRQKDTWxcXF0ZIlS2jbtm0CpRPepk2bCADFxcUJHYWVsZJ+flf6Iuenn34iFxcXMjAwoJYtW9LFixdL/NiKVuTMnj2bJBIJHTt2jIiIHsWm0eLtF2hS7+m0qP1IehQeRUR5H3DXrl0TMGnZOnjwIAGgpUuX5i2Ie0AUOIdo56i8/8Y9UI8NCQmhzMxMQXKWtcjISDI0NKRBgwapP9AikiPoh+AfaLp8Ov0Q/ANFJEcQEVFUVBQ9e/ZMyLhlRqlUkru7O9WvX5/i4+OJiCg7PJyiv19GTz+ZRtHfL6Ps8HAiIkpLS6N79+4JmLZsjRgxgiwsLNQFXWJUOp3b/YD++eUWndv9gBKj0omIKDc3VyeKvleNHj2aGjZsKHQMVg5K+vktIqq8xzX/+usvjBgxAuvWrUOrVq2wYsUK7Ny5E/fu3SvReemUlBRYWFggOTkZ5ubm5ZC4cFlZWXB2doavry9WrFiBgeM+wbG7sbBuMwSkUkEEIOHCDnRyt8PgLm0xcOBA3L9/H25uboLmLgtdu3ZFcnIyzp8/j28+/gDisMOY3d4IAAEQYX5QJpRu3THmq5VwcXHBH3/8gQ8//FDo2KVuzpw5WL58OZ49ewZzc3MMnjwYQc+D4NDXAQSCCCJE7YtCe8f2OL/vPPr06YOffvpJ6Nil7vDhw+jRowfOnTsHT09PfD5oMDJOnoS/vT1ABIhEWBsTA+MOPnioUuHRo0cIDg6GSCQSOnqpio6OhrOzM7777jt88sknmDjmUzy5lYDuzYfnvzVwOHgzqjWwRk2Pqvjqq6/w/PlzWFpaCh293NSsWRO9evXCypUrhY7CylhJP78rdePx8uXL8dFHH2HUqFEAgHXr1uHgwYP4/fff8fnnnwuc7s3s378fcXFx8Pf3R3hcOo7djUXS6S0gAizbDkXS2W1IPrMFx+CLBTM84WxtjT/WrsX8+fOFjl6qnjx5gjNHj+KXn3+G6NltiMMO4+uTWQARZrc3wPygbHwtz8Y8HIazaB56envjz/Xr8WH//kJHL3Vbfv4ZowcPhrlYjMdRoQh6FoToPdEgItj3tUfMvhjE7IlBUP8gjBgxAH+s3IRl8+bBwMBA6OilavO6dWjdoAFaN2iAnNBQZJw8iVVxsQAR/G1tsTYuDqvi4zD5xEmM/3YB+o4fj5vnz6NRo0ZCRy9V23/7DWZ6evAbOBBJEfF4cisBBy5vBBHQvdlwHA7ejIPBG9ELfvhk2lTMnDkT27Ztg7+/v9DRy8WTJ0/w6NEjnh+Haai0R3JycnJgbGyMXbt2oV+/furlI0eORFJSEvb9ezHLl2VnZyM7O1t9PyUlBc7OzhXiSM7Dhw9x9epVDBw4EN8duYufTz1C/OmtSD6zBRDrA8pcWLTzhY3nIIy7uBszT20SNG+56GgAtJFi/ukcfC3PhlQM5CiBed4GmO0lBc7lAMezi9+OFlgxQIaN3W3x4kAsYvbEQKQvAuUS7Pvbo0ovO/gdjkPArmihY5a5GFs7xFtbY218PFbFx0EiEkFBhMk2tvC3sYFNQgLs42KFjlnmzrccg2uNBuPQta04GLwR+noS5KoU6NncD92a+SJR/ADLt86Cq6urzly/KTw8HH///Tfi4uJgY2MjdBxWxrT+SE5cXByUSiVkMpnGcplMhrt37xb4mEWLFuGbb74pj3hvrGbNmqhZsyYA4GliJogIlm2HIvn8X4AyFxDrw7LtUJBKiacWOvIVUYu8L//Nbm+ABaezkaMEpOK8+1CRer0ueG4rAYkA+772iP07FpRLEOmLYN/XHqQkPLeVCB2xXCgkea/T39YW6xLioSCCRCSCv60tQKRer+1SzRwA5B3B+efqFuSqFNDXk6B7s+FQkQoJUWnIyMhAZGSkznz7DgBGjx7NBQ7TUGmLnLcxa9YsTJs2TX0//0hORZCWloYlS5Zg4MCBcLIygkgkQtKZreoCB8pcJJ3dBpt2Q+E09kO8n30DTZo0wezZs4WOXup+/fVX2NnZoa/VHeDSWsyXZ6gLnBwlMD8oG7O9jYGxk7GgtgpXrlzBnj17hI5d6o4dO4Y7d+5g6tSpcLy1BqL7WxCz94W6wKFcQsy+GFTp54D0Nt3hfuAwbt68CalUKnT0UnXnzh1s3rwZixYtguSn1cDmzVgbHa0ucBREWBsXB3+ZDCkf+qL95s3Yv38/6tWrJ3T0UhUbG4tly5Zh2rRpMLucBchf4PDlzeoCJ1elwOErm9GjxXB8MLQPgsK3YuLEiRgzZozQ0RkTTpm3QJeR7OxsEovFtGfPHo3lI0aMoD59+pRoGxXp21U5OTnk6OhI48aNo0exaWTp5UsAyKKdL7nMPEAW7fLuW3r5UnhsGhGR1n6Fuk+fPtSwYUNSxYbRPB9DAkDzvA2I5pjTPG+DvPs+hupvWWnrfli4cCEZGhpSXFwcRSRHkOx9GQEg+/72VH9jfbLvb08ASPa+jB4nP9ba/XDixAkCQMePH6fs8HCabGtHAGiyjS2F1HGnyTa2efdt7Sg7IkJr90N8fDwZGhrSt99+S4lR6dSrhR8BoJ7N/ein8cepZ/O8+71a+FFidDqpVCqt3ReMlfTzu9Ie75dKpWjWrBmOHz+uXqZSqXD8+HF4enoKmOztSCQSTJkyBb/++iuunfoHndztYOnlCxuvYdATATZew2Dp5YuWjgYIlh8GAK2d6TYgIAA3b97EF8t+Q65bd8zzMcw7ciPSw2xvY8zzMURm9Y74cctBEJHW7ocxY8ZAKpXC19cXMqkM3lW9IXtfhir9qkBPpIcq/apA1l8Gp0wnWOtZa+1+8Pb2RpMmTTB27FjESiQw7uCDybZ28JfJAD09+MtkmGxrh9iaNfFci38erK2tMWrUKCxYsAB3HlxDtQbW6NXCDz1ajIBIBPRoMRy9WvjB2EGF6yGXIBKJtHZfMFZSlbbxGMj7CvnIkSOxfv16tGzZEitWrMCOHTtw9+7d13p1ClKRvkIO5BVpw4YNw86dO/Hll19i9JSZ+Cs4Ek8TM2ElVSE79CTWLZ0PNzc3XLhwAfr62nu2cfny5fj000/Rr18/bF+zEAZ3/gKSnkBhUgV7Hpvhi+9/RXJyMq5cuYJq1aoJHbfMHD9+HL169UK9evWwY8cOSOwk2B22G89SnyEzOhNX/7iKy0cv4+DBg+jSpYvQccvM48eP4eXlBZVKhY0bN+I9Nzck7fofFM+eIU5PD79GhOOn//0PCxcuxKxZs4SOW2YyMzPRvXt3XLx4EcuWLcOwAX4IPfsCqfGZUOnn4Mydv7H0x4Xo1q0b9u7dq3Vfo2csX4k/v8vjsFJZWrVqFVWrVo2kUim1bNmSLly4UOLHVqTTVflyc3Np3rx5NG/ePCIiunHjBjk6OpK+vj4ZGhrSRx99RCkpKQKnLB9bt26lYcOGEVHeBIjVq1cnExMTEolE1KNHD3rw4EExW9AOFy5coM6dO6v/v/fr14+sra0JADVr1oyOHz8ucMLy8fTpU/rggw/U7/FvvvmGHB0dCQBVq1aN1q9fL3DC8pGZmUkBAQHq17tv3z5ycXEhkUhEFhYWNGPGDMrOzhY4JWNlSycmA3xXFe1ITkEePHiAzZs3w8HBAUOGDIGVlZXQkQSRk5ODefPmwdzcHAMHDoSrq6vQkQSzevVqxMXFoUePHmjRooXQcQRz4MABXLx4ES1btkSPHj109tTMjRs38Ndff8HNzQ2DBg2CiYmJ0JEYK3Ml/fzmIqeCFzmMMcYY01TSz+9K23jMGGOMMVYULnIYY4wxppW4yGGMMcaYVuIihzHGGGNaiYscxhhjjGklLnIYY4wxppW4yGGMMcaYVuIihzHGGGNaiYscxhhjjGklLnIYY4wxppW4yGGMMcaYVtIXOoCQ8i/blZKSInASxhhjjJVU/ud2cZff1OkiJzU1FQDg7OwscBLGGGOMvanU1FRYWFgUul6nr0KuUqnw/PlzmJmZQSQSCR2nQCkpKXB2dkZkZKROXymd98N/eF/k4f2Qh/dDHt4PeXRlPxARUlNT4ejoCD29wjtvdPpIjp6eHpycnISOUSLm5uZa/QNbUrwf/sP7Ig/vhzy8H/LwfsijC/uhqCM4+bjxmDHGGGNaiYscxhhjjGklLnIqOAMDA8yZMwcGBgZCRxEU74f/8L7Iw/shD++HPLwf8vB+0KTTjceMMcYY0158JIcxxhhjWomLHMYYY4xpJS5yGGOMMaaVuMhhjDHGmFbiIocxxhhjWomLnApu9erVqF69OgwNDdGqVStcunRJ6EhvbdGiRWjRogXMzMxgb2+Pfv364d69expjsrKyMHHiRNjY2MDU1BQffPABoqOjNcY8efIEPXv2hLGxMezt7TF9+nTk5uZqjJHL5WjatCkMDAxQq1YtbNy4saxf3ltbvHgxRCIRAgIC1Mt0ZT88e/YMH374IWxsbGBkZIQGDRogODhYvZ6I8PXXX6NKlSowMjJCp06dEBYWprGNhIQE+Pr6wtzcHJaWlhgzZgzS0tI0xty8eRNeXl4wNDSEs7MzlixZUi6vrySUSiVmz54NV1dXGBkZoWbNmpg/f77GhQe1dT+cOnUKvXv3hqOjI0QiEfbu3auxvjxf986dO+Hu7g5DQ0M0aNAAhw4dKvXXW5ii9oNCocDMmTPRoEEDmJiYwNHRESNGjMDz5881tqEN+6FMEKuwtm/fTlKplH7//Xe6c+cOffTRR2RpaUnR0dFCR3srXbt2pQ0bNtDt27fp+vXr1KNHD6pWrRqlpaWpx3z88cfk7OxMx48fp+DgYGrdujW1adNGvT43N5fq169PnTp1omvXrtGhQ4fI1taWZs2apR7z6NEjMjY2pmnTplFISAitWrWKxGIxHTlypFxfb0lcunSJqlevTg0bNqSpU6eql+vCfkhISCAXFxfy8/Ojixcv0qNHj+iff/6hBw8eqMcsXryYLCwsaO/evXTjxg3q06cPubq6UmZmpnpMt27dqFGjRnThwgU6ffo01apVi4YOHapen5ycTDKZjHx9fen27du0bds2MjIyovXr15fr6y3Mt99+SzY2NnTgwAEKDw+nnTt3kqmpKa1cuVI9Rlv3w6FDh+jLL7+k3bt3EwDas2ePxvryet1nz54lsVhMS5YsoZCQEPrqq69IIpHQrVu3ynwfEBW9H5KSkqhTp070119/0d27d+n8+fPUsmVLatasmcY2tGE/lAUuciqwli1b0sSJE9X3lUolOTo60qJFiwRMVXpiYmIIAAUFBRFR3ptZIpHQzp071WNCQ0MJAJ0/f56I8n4Z6OnpUVRUlHrM2rVrydzcnLKzs4mIaMaMGeTh4aHxXIMHD6auXbuW9Ut6I6mpqeTm5kaBgYHUvn17dZGjK/th5syZ1K5du0LXq1QqcnBwoKVLl6qXJSUlkYGBAW3bto2IiEJCQggAXb58WT3m8OHDJBKJ6NmzZ0REtGbNGrKyslLvl/znrlOnTmm/pLfSs2dPGj16tMay999/n3x9fYlId/bDqx/u5fm6Bw0aRD179tTI06pVKxo/fnypvsaSKKjYe9WlS5cIAD1+/JiItHM/lBY+XVVB5eTk4MqVK+jUqZN6mZ6eHjp16oTz588LmKz0JCcnAwCsra0BAFeuXIFCodB4ze7u7qhWrZr6NZ8/fx4NGjSATCZTj+natStSUlJw584d9ZiXt5E/pqLtt4kTJ6Jnz56vZdWV/bB//340b94cAwcOhL29PZo0aYJffvlFvT48PBxRUVEar8HCwgKtWrXS2A+WlpZo3ry5ekynTp2gp6eHixcvqse89957kEql6jFdu3bFvXv3kJiYWNYvs1ht2rTB8ePHcf/+fQDAjRs3cObMGXTv3h2A7uyHV5Xn667o75VXJScnQyQSwdLSEoDu7oeS4CKngoqLi4NSqdT4EAMAmUyGqKgogVKVHpVKhYCAALRt2xb169cHAERFRUEqlarfuPlefs1RUVEF7pP8dUWNSUlJQWZmZlm8nDe2fft2XL16FYsWLXptna7sh0ePHmHt2rVwc3PDP//8A39/f0yZMgWbNm0C8N/rKOo9EBUVBXt7e431+vr6sLa2fqN9JaTPP/8cQ4YMgbu7OyQSCZo0aYKAgAD4+voC0J398KryfN2FjamI+yUrKwszZ87E0KFD1VcZ18X9UFL6QgdgumnixIm4ffs2zpw5I3SUchcZGYmpU6ciMDAQhoaGQscRjEqlQvPmzbFw4UIAQJMmTXD79m2sW7cOI0eOFDhd+dmxYwe2bNmCrVu3wsPDA9evX0dAQAAcHR11aj+w4ikUCgwaNAhEhLVr1wodp1LgIzkVlK2tLcRi8WvfqImOjoaDg4NAqUrHpEmTcODAAZw8eRJOTk7q5Q4ODsjJyUFSUpLG+Jdfs4ODQ4H7JH9dUWPMzc1hZGRU2i/njV25cgUxMTFo2rQp9PX1oa+vj6CgIPz444/Q19fH/9u5n1Do+igO4Od9jBkm+ROa0WhE+U/RiG7slLIhS0myEVKS2EhWykI2srFhQU0WJCmFGYlCNONPhAVmoxSJotB8n5X7ul70PArz3vl+6tZ0f6c7c07dO6fbPddisQRFHRISEiQrK0uzLzMzU3w+n4j8m8dH54DVapWLiwvN+tPTk1xdXf1VrX5SR0eHejcnNzdXamtrpa2tTb3LFyx1eO07834vJpDq8tzgnJ2dyfz8vHoXRyS46vC32OQEKKPRKA6HQxYXF9V9fr9fFhcXRVGUH/xlnwdAWlpaZGpqSlwulyQnJ2vWHQ6HhIaGanI+PDwUn8+n5qwoiuzu7mpO6OcT/vkPU1EUzTGeYwKlbqWlpbK7uyter1fdCgoKpKamRv0cDHUoLi7+zysEjo6OJCkpSUREkpOTxWq1anK4ubmR9fV1TR2ur69la2tLjXG5XOL3+6WoqEiNWV5elsfHRzVmfn5e0tPTJSYm5svy+1N3d3fy65f2UhwSEiJ+v19EgqcOr31n3oF+rjw3OMfHx7KwsCCxsbGa9WCpw6f89JPP9D6n0wmTyYTR0VHs7++joaEB0dHRmoma/5OmpiZERUVhaWkJ5+fn6nZ3d6fGNDY2wm63w+VyYXNzE4qiQFEUdf15dLqsrAxerxdzc3OIj49/c3S6o6MDBwcHGBoaCqjR6be8nK4CgqMOGxsbMBgM6O3txfHxMcbHx2E2mzE2NqbG9PX1ITo6GtPT09jZ2UFlZeWbI8T5+flYX1/HysoKUlNTNaOz19fXsFgsqK2txd7eHpxOJ8xmc8CMkNfV1cFms6kj5JOTk4iLi0NnZ6cao9c63N7ewuPxwOPxQEQwMDAAj8ejTg19V96rq6swGAzo7+/HwcEBenp6vnV0+qM6PDw8oKKiAomJifB6vZpr58tJKT3U4SuwyQlwg4ODsNvtMBqNKCwsxNra2k//pE8TkTe3kZERNeb+/h7Nzc2IiYmB2WxGVVUVzs/PNcc5PT1FeXk5wsPDERcXh/b2djw+Pmpi3G438vLyYDQakZKSovmOQPS6yQmWOszMzCAnJwcmkwkZGRkYHh7WrPv9fnR3d8NiscBkMqG0tBSHh4eamMvLS1RXVyMiIgKRkZGor6/H7e2tJmZ7exslJSUwmUyw2Wzo6+v78tz+1M3NDVpbW2G32xEWFoaUlBR0dXVp/sD0Wge32/3mNaGurg7A9+Y9MTGBtLQ0GI1GZGdnY3Z29svyfu2jOpycnLx77XS73eox9FCHr/AP8OK1mkREREQ6wWdyiIiISJfY5BAREZEusckhIiIiXWKTQ0RERLrEJoeIiIh0iU0OERER6RKbHCIiItIlNjlERESkS2xyiIiISJfY5BAREZEusckhIiIiXfoNIAbaWsYV8voAAAAASUVORK5CYII=",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"#specify minimum spacing between turbines\n",
"min_spacing = 2 #@param {type:\"slider\", min:2, max:10, step:1}\n",
"\n",
"cable_cost_per_meter = 750. #@param {type:\"slider\", min:0, max:10000, step:1}\n",
"\n",
"# Electrical grid cable components (Minimum spanning tree from Topfarm report 2010)\n",
"elnetlength = ElNetLength(n_wt=n_wt)\n",
"elnetcost = ElNetCost(n_wt=n_wt, output_key='electrical_connection_cost', cost_per_meter=cable_cost_per_meter)\n",
"\n",
"# The Topfarm IRR cost model components\n",
"irr_dtu_comp = CostModelComponent(input_keys=[('aep',np.zeros(n_wt)), ('electrical_connection_cost', 0.0)],\n",
" n_wt=n_wt, \n",
" cost_function=irr_dtu,\n",
" output_keys=\"irr\",\n",
" output_unit=\"%\",\n",
" objective=True, \n",
" maximize=True)\n",
"\n",
"irr_nrel_comp = CostModelComponent(input_keys=[('aep', np.zeros(n_wt)), ('electrical_connection_cost', 0.0)],\n",
" n_wt=n_wt, \n",
" cost_function=irr_nrel,\n",
" output_keys=\"irr\",\n",
" output_unit=\"%\",\n",
" objective=True, \n",
" maximize=True)\n",
"\n",
"## User-defined cost model\n",
"irr_cost_models = {'DTU': irr_dtu_comp, 'NREL': irr_nrel_comp}\n",
"\n",
"#select which IRR cost model to use\n",
"IRR_COST = 'DTU' #@param [\"DTU\", \"NREL\"]\n",
"# The Topfarm AEP component, returns an array of AEP per turbine\n",
"aep_comp = CostModelComponent(input_keys=['x','y'],\n",
" n_wt=n_wt,\n",
" cost_function=aep_func, \n",
" output_keys=\"aep\",\n",
" output_unit=\"GWh\",\n",
" objective=False,\n",
" output_vals=np.zeros(n_wt))\n",
"plot_comp = XYCablePlotComp(memory=0, plot_improvements_only=False, plot_initial=False)\n",
"\n",
"# The group containing all the components\n",
"group = TopFarmGroup([aep_comp, elnetlength, elnetcost, irr_cost_models[IRR_COST]])\n",
"\n",
"problem = TopFarmProblem(\n",
" design_vars={'x':site.initial_position[:,0],\n",
" 'y':site.initial_position[:,1]},\n",
" cost_comp=group,\n",
" driver=EasyRandomSearchDriver(randomize_func=RandomizeTurbinePosition_Circle(), max_iter=100),\n",
" constraints=[SpacingConstraint(min_spacing * windTurbines.diameter(0)),\n",
" XYBoundaryConstraint(site.boundary)],\n",
" expected_cost=1.0,\n",
" plot_comp=plot_comp)\n",
"\n",
"cost, state, recorder = problem.optimize()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Exercises\n",
"- Try to see what is the effect of increasing or decreasing the cost of the cable\n",
"- Change between IRR cost model. Ask Witold about the difference between DTU and NREL models"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "topfarm",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.12.6"
}
},
"nbformat": 4,
"nbformat_minor": 4
}