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"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Drivers"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"[Try this yourself](https://colab.research.google.com/github/DTUWindEnergy/TopFarm2/blob/master/docs/notebooks/drivers.ipynb) (requires google account)\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The TOPFARM platform actually relies on the **OpenMDAO library**, an open-source platform which aims to build new analysis and optimization tools to be employed in a variety of mathematical and engineering problems. In particular, the word **\"driver\"** is an OpenMDAO technical term which refers to a series of instructions operating on a workflow.\n",
"\n",
"In the simplest case, a driver can execute an entire workflow; in the case of optimization, a driver is usually an optimization procedure which operates over the workflow until (ideally) an optimal solution is found. When the problem has a particularly complex formulation, there may be multiple drivers acting on sub-groups of a workflow. For instance, in an optimization under uncertainty (OUU) problem, there is usually an uncertainty quantification/analysis driver operating on a workflow nested within a larger optimization workflow.\n",
"This tutorial provides a basic introduction to the application of openMDAO drivers in the optimization of wind farm design as solved by TOPFARM. Such drivers can be based both on iterative step-by-step algorithms or metaheuristic/heuristic algorithms; in particular this tutorial will focus on:\n",
"1. **Design Of Experiments (DOE)**: these drivers sample across a set of input parameters and execute the workflow for each input set. Such drivers can be parallelized easily since each workflow execution is independent from the next.\n",
"2. **Gradient-Based or Local-Search optimizers**: these drivers are *iterative algorithms* which use the information on the gradients of the objective function with respect to the design variables in order to explore the design space systematically and find an improved design. This class of drivers is efficient, but still challenged by problems that contain significant nonconvexity, by objective functions that are relatively insensitive to the design variables, and by other issues.\n",
"3. **Gradient-Free optimization algorithms**: these drivers are *iterative algorithms* which aim to optimize the objective function under the given constraints assuming that the gradient is unknown. Such methodes usually assign to the objective function an arbitrary score to be minimized or maximised depending on the algorithm specifications.\n",
"4. **Gradient-Free Metaheuristic optimizers**: these drivers typically use *nature-inspired algorithms* to search the design space more globally. They use, or even combine, multiple design instances at once and compare their performances to make decisions about how to generate new designs that hopefully improve the objective function. A classic example of this type of optimizer is the *Genetic Algorithm*.\n",
"5. **Gradient-Free Heuristic optimizers**: these drivers use some sort of heuristic to search through the design space that is informed by domain knowledge and experience with some element of randomness as well. For example, *Random-Search algorithms* fall into this category and are widely used in commercial wind farm optimization. Heuristic optimizers differ from Metaheuristic ones as they are not \"problem-specific\", indeed, they are developed without making any assumption about the optimization they are going to solve. \n",
"For those interested, further information on the optimization drivers available in OpenMDAO are available at [here](https://openmdao.org/newdocs/versions/latest/_srcdocs/packages/drivers/doe_driver.html). Next, we will introduce a specific example of each of the aforementioned driver types applied to a TOPFARM optimization problem."
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Ensure you are using Python 3.8 or 3.9 for compatibility with pyDOE2 and OpenMDAO."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"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"
]
},
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{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"openmdao[doe] is not installed. Installing...\n",
"pyDOE2 is already installed.\n"
]
}
],
"source": [
"import subprocess\n",
"import sys\n",
"\n",
"# check if a package is installed\n",
"def check_and_install(package):\n",
" try:\n",
" __import__(package)\n",
" print(f\"{package} is already installed.\")\n",
" except ImportError:\n",
" print(f\"{package} is not installed. Installing...\")\n",
" subprocess.check_call([sys.executable, \"-m\", \"pip\", \"install\", package])\n",
"\n",
"# List of packages to check and install\n",
"packages = [\"openmdao[doe]\", \"pyDOE2\"]\n",
"\n",
"for pkg in packages:\n",
" check_and_install(pkg)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**Import supporting libraries in Python**."
"execution_count": 3,
"import numpy as np\n",
"#%matplotlib inline\n",
"# uncomment to update plot during optimization\n",
"#%matplotlib qt\n",
"import matplotlib.pyplot as plt"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**Import the \"easy driver\" class from TOPFARM**.\\\n",
"This class contains some easy optimizers which will be used in the following examples. "
"execution_count": 4,
"from topfarm.easy_drivers import EasyDriverBase"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**Import several functions and classes from TOPFARM, including:**\n",
"- **TopFarmProblem**: overall topfarm problem class to which the objectives, design variables, and constraints are added.\n",
"- **XYBoundaryConstraint**: this class specifies a boundary as a series of connected perimeter vertices.\n",
"- **SpacingConstraint**: this class specifies the inter-turbine distance constraint. \n",
"Some dummy models (`DummyCost`, `NoPlot`, `DummyCostPlotComp`) are also imported; they will serve as toy-examples of cost models to run the MDAO optimization drivers. Such models are much easier with respect to the ones typically used in wind farm optimization; they take as input a user-defined initial state and a user-defined optimal state and return the sum of the squared difference between the two."
"execution_count": 5,
"from topfarm._topfarm import TopFarmProblem\n",
"from topfarm.constraint_components.boundary import XYBoundaryConstraint\n",
"from topfarm.constraint_components.spacing import SpacingConstraint\n",
"\n",
"from topfarm.cost_models.dummy import DummyCost\n",
"from topfarm.plotting import NoPlot\n",
"from topfarm.cost_models.dummy import DummyCostPlotComp"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**Set up the problem by providing an initial and optimal turbine layout, as well as the overall turbine location boundary. Then, initalize the plotting component to visualize the optimization.**"
"execution_count": 6,
"metadata": {},
"outputs": [],
"source": [
"initial = np.array([[6, 0, 0], [6, -8, 0], [1, 1, 0]]) # user-defined initial turbine layouts\n",
"boundary = np.array([(0, 0), (6, 0), (6, -10), (0, -10)]) # user-defined site boundary vertices\n",
"optimal = np.array([[3, -3, 1], [7, -7, 2], [4, -3, 4]]) # user-defined optimal turbine layouts\n",
"\n",
"plot_comp = DummyCostPlotComp(optimal, delay=0.1, plot_improvements_only=True)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**Define a function which allow to quickly reconfigure the example for the different drivers.**"
"execution_count": 7,
"metadata": {},
"outputs": [],
"source": [
"def optimize(driver):\n",
" tf = TopFarmProblem(\n",
" dict(zip('xy', (initial[:, :2]).T)), # setting up the turbines as design variables\n",
" DummyCost(optimal[:, :2]), # using dummy cost model\n",
" constraints=[SpacingConstraint(2), # spacing constraint set up for minimum inter-turbine spacing\n",
" XYBoundaryConstraint(boundary)], # constraint set up for the boundary type provided\n",
" driver=driver, # driver is specified for the example\n",
" plot_comp=plot_comp) # support plotting function\n",
" tf.optimize() # run the DoE analysis or optimization"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 1) DOE (Design Of Experiment) Driver\n",
"In this example, the driver executes a design of experiments over the design variables, looking at how different input sets of the $3$ turbine positions affect the cost function. In particular, two possible configurations of the input values are explored:\n",
"- In the first case (A), the `ListGenerator`openMDAO method is used to read possible DOE cases from a user-defined input list of design variables.\n",
"- In the second case (B), the `FullFactorialGenerator` openMDAO method is used to evenly sample the design variables between their upper and lower bounds, for a specified number of **levels**, which is given as input to the generator. For example, if the input variables are $2$ and the number of levels is $3$, $3^2$ combinations of the input variables will be explored by the driver.\n",
"More information about the built-in DOE generators of the OpenMDAO library, please see [this link](http://openmdao.org/twodocs/versions/latest/_srcdocs/packages/drivers/doe_generators.html).\n",
"\n",
"#### A) User-defined input variables"
"execution_count": 8,
{
"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"
]
},
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",
{
"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"
]
},
"image/png": 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",
"output_type": "display_data"
}
],
"source": [
"from openmdao.drivers.doe_generators import ListGenerator\n",
"from openmdao.drivers.doe_driver import DOEDriver\n",
"\n",
"optimize(DOEDriver(ListGenerator([[('x', [0., 3., 6.]), ('y', [-10., -10., -10.])],\n",
" [('x', [0., 3., 6.]), ('y', [-5., -5., -5.])],\n",
" [('x', [0., 3., 6.]), ('y', [-0., -0., -0.])],\n",
" ])))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"\n",
"\"_In statistics, a full factorial experiment is an experiment whose design consists of two or more factors, each with discrete possible values or \"levels\", and whose experimental units take on all possible combinations of these levels across all such factors. A full factorial design may also be called a fully crossed design. Such an experiment allows the investigator to study the effect of each factor on the response variable, as well as the effects of interactions between factors on the response variable._\" [[1]](https://en.wikipedia.org/wiki/Factorial_experiment)"
"execution_count": 9,
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{
"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",
"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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",
"output_type": "display_data"
}
],
"source": [
"from openmdao.drivers.doe_generators import FullFactorialGenerator, ListGenerator\n",
"from openmdao.drivers.doe_driver import DOEDriver\n",
"\n",
"optimize(DOEDriver(FullFactorialGenerator(2))) # full factorial sampling with 2 levels (2 is the default)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Exercise\n",
"\n",
"Now try to update the number of levels given as input to the `FullFactorialGenerator` to see how it affects the sampling of the design space. You will notice that, as you increase the number of levels, also the computational time increases; this is due to the full factorization which is perfomed by the generator and represents a limit in the exploration of a continuum space. "
"execution_count": 10,
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{
"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",
"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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",
"output_type": "display_data"
}
],
"source": [
"optimize(DOEDriver(FullFactorialGenerator(3)))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 2) Gradient-Based Optimization with the ScipyOptimizeDriver\n",
"In this example, an openMDAO gradient-based optimization which uses the open-source Scipy algorithm **Sequential Least Squares Quadratic Programming** (or SLSQP) is presented. Indeed, the OpenMDAO library includes several built-in drivers which rely on open-sourced libraries containing optimization algorithms such as SciPy and PyOptSparse. \n",
"Note that in TOPFARM, the OpenMDAO drivers are wrapped to further ease their usage within the framework of wind farm design optimization."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**Import the TOPFARM implementation of the Scipy optimizer and execute a gradient-based optimization.**"
"execution_count": 11,
{
"name": "stdout",
"output_type": "stream",
"text": [
"INFO: checking out_of_order\n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"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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",
"output_type": "display_data"
}
],
"source": [
"from topfarm.easy_drivers import EasyScipyOptimizeDriver\n",
"\n",
"# setup parameters for optimization: maximum iterations and tolerance (required tolerance for establishing convergence)\n",
"optimize(EasyScipyOptimizeDriver(optimizer='SLSQP', maxiter=200, tol=1e-6, disp=False))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"In this example, it can be noticed that the number of iterations which are necessary to the optimization problem to converge are much less than the maximum allowed (`maxiter` $=200$). In addition, the `EasyScipyOptimizeDriver` driver looks to work much better than the `DOEdriver` for this specific Topfarm optimization problem. "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Exercise\n",
"Now adjust the optimal positions of the wind turbines and see how the optimization performs."
{
"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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",
"output_type": "display_data"
},
{
"data": {
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XfN28ebNKuSdPngg7OztRtmxZsXz5cjF37lxhY2MjvL29M32AF5Y68+rSpUuZFmDLTWBgoAgMDBQ9e/YUAMRXX32l3Pa+4OBgYWxsrLIyrYmJiWjVqlWmOj///HPluitr164VDRo0EIaGhuLff/9VKdekSRPx4XfQ+Ph4UbZsWeHo6CgWLlwoli1bJlxdXUWpUqVEVFSUStmMdWu6desm1q9fL/r27ZvjukLx8fHCyclJ/PzzzyrbAwIChJ2dnVi2bJno1q2bMDc3z9SWl5eX+PLLL3N+ManYY6JChda9e/dEq1athL29vTA2NhaVKlUS8+bNy3Kp9NjYWCGTycSGDRvyXP/r16/FtGnThLe3tzAzMxMmJibCy8tLTJw4UURERKiU3b59u6hRo4YwNjYWtra2mRZ8i4mJEcOGDROVKlUSJUqUEFZWVqJu3bri999/V6knMjJStG3bVlhYWOS64FuGnTt3iurVqwtjY2Ph4uIipkyZkmlxsuwSFblcLubOnSvc3NyETCYTVatWFb/99luW7dy4cUO0atVKmJmZCWtra9G7d28RGRmZqVxhqTM/qlWrprIAW27wwcJ97z8+dOrUKdGgQQNhYmIiHBwcxLBhw1RGJjIkJiaKMWPGCCcnJ2FsbCxq164tDhw4kKlcVomKEOkjU926dROWlpbC3NxctGvXTty9ezfL+NetWycqVqwoZDKZKFu2rFi2bFm2ox5jx44VtWrVyrT/zZs3om/fvsLa2lpUqlQpU6yhoaH5WvGXii+JEB/MUCMqgr7//nssXLgQ9+/fL/CVH1R8/frrrxg2bBiePHkCa2trXYdTJIwaNQonT55EcHAwr/qhHHEyLRV5qampWLp0KaZMmcIkhQqkd+/eKFOmDFauXKnrUIqEly9fYsOGDZg9ezaTFMoVR1SIiIhIb3FEhYiIiPQWExUiIiLSW0xUiIiISG8xUSEiIiK9ZajrAD6WQqHA8+fPYWFhwdnjREREhYQQAgkJCShVqhQMDLIfNyn0icrz58/h6uqq6zCIiIioAMLDw+Hi4pLt/kKfqGTcTCs8PByWlpY6joZIfa5cuYImTZrAY4IH0t6kIfZoLIzLGcM1whVTJk5B8+bNOYpIRIVWfHw8XF1dlZ/j2Sn0iUrGH2pLS0smKlSkmJubAwAMTAxgVckKlr6WkEgkeHnpJbp27YradWtj7uy5aNGihY4jJSIquNy+cHEyLVEhoUzKa1miVP9SuHj+Ikb6j9RxVEREmlXoR1SIigshxP+SFV9LlHpSCvMmztNxVEREmsURFaJCIOF6At7devf/TwBDC0NUDqiMpp821WlcRESaxhEVIj33dPVTJL9Ihs8UH8ghx5CGQ/Bb6G+4HH0ZKy6vwCjfUboOkfSQXC5HamqqrsOgYkwqlcLQ0PCjJ/0zUSHSU46OjnAu7QwXFxcEbgrEYePDOPj4IGxMbDCjwQyM+XcMfrrxE3xL+qKxS2Ndh0t65M2bN3j69Cl4z1nSNTMzMzg7O0MmkxW4DiYqRHrKxcUFD+8/hEwmg0QiweF/Dyv3tXZvjUuRl7Dt9jZM+m8S/mj/B5xKOOkwWtIXcrkcT58+hZmZGRwcHHgJO+mEEAIpKSmIjo7Gw4cPUb58+RwXdcsJExUiPWZsbJztvjG1x+Bq9FWEvgrFuJPj8HPrn2FowP/SxV1qaiqEEHBwcICpqamuw6FizNTUFEZGRnj8+DFSUlJgYmJSoHo4mZaokOhSrgsm152MWk61AADGUmMsabIE5kbmuByVPl+FKANHUkgfFHQURaUONcRBRFrQoHQD9KzUExVsKii3uVq6YkaDGQCAn278hFNPT+koOiIizWCiQlTItXZvjZ4VewIAJv03CZFvI3UcERGR+jBRISok7r2+h4uRF/Hi7YtM+8bUHoPKtpURmxyLcSfHIU2RpoMIqSiRy+U4ceIEtm7dihMnTkAul+s6pI82Y8YMVK9evci0k5OmTZti1KhROZbZuHEjrK2ttRLPx2CiQlRIrLm2Bl8d/ApHnxzNtI/zVUidduzYgXLlyqFZs2b44osv0KxZM5QrVw47duzQaLvh4eH46quvUKpUKchkMri5uWHkyJF4+fJlvuuSSCTYtWuXyrYxY8bg6NHM/3+Koh07diAwMFD53N3dHd9//71KmR49euDOnTtajiz/mKgQFRGcr0LqsGPHDnTr1g3e3t44e/YsEhIScPbsWXh7e6Nbt24aS1YePHiAWrVq4e7du9i6dSvu3buHNWvW4OjRo6hfvz5evXr10W2Ym5vDzs5ODdHqP1tb21zvSmxqagpHR0ctRVRwTFSIihDOV6GPIZfLERAQgHbt2mHXrl2oV68ezM3NUa9ePezatQvt2rXDmDFjNHIaaNiwYZDJZDh06BCaNGmCMmXKoE2bNjhy5AiePXuGyZMnK8u6u7sjMDAQvXr1QokSJVC6dGmsXLlSZT8AdO7cGRKJRPn8w1My/fv3R6dOnTB37lyULFkS1tbWmDVrFtLS0jB27FjY2trCxcUFQUFBKrGOHz8eFSpUgJmZGTw9PTF16tR8rQJ84sQJSCQS7N27F9WqVYOJiQnq1auHGzduqJT766+/ULVqVRgbG8Pd3R1LlixR2b9q1SqUL18eJiYmKFmyJLp166bc9/6pn6ZNm+Lx48cYPXo0JBKJ8oqwrE79rF69GmXLloVMJkPFihXx66+/quyXSCTYsGEDOnfuDDMzM5QvXx67d+/Oc98LgokKURHD+SpUUKdOncKjR48wadKkTJeVGhgYYOLEiXj48CFOnVLvaN2rV69w8OBBfPvtt5nWfnFyckLv3r2xfft2lZV2Fy1aBB8fH1y+fBkTJkzAyJEjcfhw+qKIFy9eBAAEBQUhIiJC+Twrx44dw/Pnz3Hy5EksXboU06dPR7t27WBjY4Pz589jyJAh+Oabb/D06VPlMRYWFti4cSNu3bqFH374AevXr8eyZcvy3e+xY8diyZIluHjxIhwcHNC+fXtlwhMcHIzu3bujZ8+euH79OmbMmIGpU6di48aNAIBLly5hxIgRmDVrFm7fvo0DBw7gk08+ybKdHTt2wMXFBbNmzUJERAQiIiKyLLdz506MHDkSAQEBuHHjBr755hsMGDAAx48fVyk3c+ZMdO/eHdeuXcNnn32G3r17q2XEK1uikIuLixMARFxcnK5DIdKogBMBwmujl9h8a3OuZZ/EPRH1NtcTXhu9xLJLyzQfHOmNxMREcevWLZGYmJjvY7ds2SIAiISEhCz3x8fHCwBiy5YtHxuminPnzgkAYufOnVnuX7p0qQAgXrx4IYQQws3NTfj5+amU6dGjh2jTpo3yeVb1TZ8+Xfj4+Cif9+vXT7i5uQm5XK7cVrFiRdG4cWPl87S0NFGiRAmxdevWbONftGiR8PX1zbadDx0/flwAENu2bVNue/nypTA1NRXbt28XQgjxxRdfiJYtW6ocN3bsWFGlShUhhBB//fWXsLS0FPHx8Vm20aRJEzFy5Ejlczc3N7Fs2TKVMkFBQcLKykr5vEGDBmLw4MEqZT7//HPx2WefKZ8DEFOmTFE+f/PmjQAg9u/fn2UcOb0f8/r5zREVoiKI81WoIJydnQEg0ymIDBnbM8qpm8jHvYnq16+f6XloaGi+26xatarK6FHJkiXh7e2tfC6VSmFnZ4eoqCjltu3bt6Nhw4ZwcnKCubk5pkyZgidPnuS77ff7YGtri4oVKyr7EBoaioYNG6qUb9iwIe7evQu5XI6WLVvCzc0Nnp6e6NOnDzZv3ox3797lO4b3Zdfmh69rtWrVlD+XKFEClpaWKq+PujFRISqiOF+F8qtx48Zwd3fH3LlzoVAoVPYpFArMmzcPHh4eaNxYvTfBLFeuHCQSSbaJRmhoKGxsbODg4KDWdgHAyMhI5blEIslyW8brcfbsWfTu3RufffYZ9uzZg8uXL2Py5MlISUlRe2w5sbCwQEhICLZu3QpnZ2dMmzYNPj4+iI2N1XjbOb0+msBEhaiQaOvRFv6+/qjuWD3Px3C+CuWHVCrFkiVLsGfPHnTq1Enlqp9OnTphz549WLx4MaRSqVrbtbOzQ8uWLbFq1SokJiaq7IuMjMTmzZvRo0cPldsCnDt3TqXcuXPnULlyZeVzIyMjjUz6PXPmDNzc3DB58mTUqlUL5cuXx+PHjwtU1/t9eP36Ne7cuaPsQ+XKlXH69GmV8qdPn0aFChWUr7+hoSFatGiBhQsX4tq1a3j06BGOHTuWZVsymSzX1yO7NqtUqZLvvqkT72BGVEg0K9Ms38dkrK/SfU935foqo3xHqT84KjK6dOmCP//8EwEBAWjQoIFyu4eHB/7880906dJFI+2uWLECDRo0QOvWrTF79mx4eHjg5s2bGDt2LEqXLo05c+aolD99+jQWLlyITp064fDhw/jjjz+wd+9e5X53d3ccPXoUDRs2hLGxMWxsbNQSZ/ny5fHkyRNs27YNtWvXxt69e7Fz584C1TVr1izY2dmhZMmSmDx5Muzt7dGpUycAQEBAAGrXro3AwED06NEDZ8+exYoVK7Bq1SoAwJ49e/DgwQN88sknsLGxwb59+6BQKFCxYsUs23J3d8fJkyfRs2dPGBsbw97ePlOZsWPHonv37qhRowZatGiBf/75Bzt27MCRI0cK1D914YgKURHH+SqUX126dMG9e/dw/PhxbNmyBcePH8fdu3c1lqQA6QnApUuX4Onpie7du6Ns2bL4+uuv0axZM5w9exa2trYq5QMCAnDp0iXUqFEDs2fPxtKlS9G6dWvl/iVLluDw4cNwdXVFjRo11BZnhw4dMHr0aHz33XeoXr06zpw5g6lTpxaorvnz52PkyJHw9fVFZGQk/vnnH8hkMgBAzZo18fvvv2Pbtm3w8vLCtGnTMGvWLPTv3x8AYG1tjR07duDTTz9F5cqVsWbNGmzduhVVq1bNsq1Zs2bh0aNHKFu2bLan0Dp16oQffvgBixcvRtWqVbF27VoEBQWhadOmBeqfukhEfmYv6aH4+HhYWVkhLi4OlpaWug6HSGOexD9BXHIcnM2dYW+a+dtQbuacm4Ntt7fB2tgaf7T/A04lnDQQJelaUlISHj58CA8PD5iYmOg6HI1wd3fHqFGjcl0iXl+dOHECzZo1w+vXrwvFEvYfI6f3Y14/vzmiQlRILL+8HF/s+wKHHh0q0PGcr0JEhRETFaJigvcDIqLCiIkKUTHC+SpUFDx69KjQnvYB0pe0F0IU+dM+6sJEhaiY4foqlEGhUORrkTUiXdCLRGXlypVwd3eHiYkJ6tatiwsXLug6JKIijfNVKCUlBdevX0dYWBji4uKYsJDe0nmisn37dvj7+2P69OkICQmBj48PWrdurdHleImKO85XodTUVKSmpuJdUgru3r3LhIX0ls4TlaVLl2Lw4MEYMGAAqlSpgjVr1sDMzAw///yzrkMjKtI4X4UAwNDaCYY2pZCYqsDde/cQyoSF9IxOV6ZNSUlBcHAwJk6cqNxmYGCAFi1a4OzZs1kek5ycjOTkZOXz+Ph4jcdJ9KG7d+8iISFBq22WU5SDqaMpjF4aISQkRC11OsABzW2b4+iroxh3YhwCywfC1sg29wNJbwkhYGhoiHfv3uW4ZHpSUpLyZwNjMxgYm6Vvf/UMd+/eRYkSJVC6dGmuT0U6p9NEJSYmBnK5HCVLllTZXrJkSYSFhWV5zLx58zBz5kxthEeUpbt376JChQq6DkNtJEYSeE72BNyBr3d/jYfzHwKau78YaZibmxvWrFmD1NTUAh1vaFsaafExePs2Fk/Cw+GVzUqnRNpS6O71M3HiRPj7+yufx8fHw9XVVYcRUXGTMZLy22+/qdwETZuEECo3aPtYL5JfYPq96UAFYPw/49Hdqbva6ibtyhhRcXV1hbGxcbblMlYM/dC7F48gVaTC3NwcpUuX1mSoH00ikWDnzp3K++NkpX///oiNjcWuXbvyVOejR4/g4eGBy5cvo3r16mqJM782btyIUaNG5Xon5Lz0vyjQaaJib28PqVSKFy9eqGx/8eIFnJyyXt7b2Ng4x/98RNpSuXJl1KxZU6ttyhVy/H3/b2y/vR1BrYNgZmSmtroNnA0w5t8x2Bu9F22rtUVjl8Zqq5u0JyMBMTMzy/MS+orkRBgYmyLy+VP07dgGZVxdMWvWLFSqVEnD0f5PfhMKAIiIiFDebDC7BOOHH34odPNtevTogc8++0z5fMaMGdi1axeuXLmiUu79/hdlOp1MK5PJ4Ovri6NHjyq3KRQKHD16FPXr19dhZET6SSEUWH9tPW69vIVNNzeptW6ur1I8pcVGIi0u/Xf9+uVLvIiMxKtXr9CmTRs0aNAABw8e1NsPeicnp1y/uFpZWRW6hdVMTU3h6OiYa7m89L8o0PlVP/7+/li/fj02bdqE0NBQDB06FG/fvsWAAQN0HRqR3jGSGmGk70gAQNDNIMQkxqi1fq6vUnwYGRnByEgGMxMZPD09VfZt374dBw4cAAD4+fnpJGFp2rQpRowYgXHjxsHW1hZOTk6YMWOGShmJRKIcgfHw8AAA1KhRAxKJRHnH3/79+6ucGjlw4AAaNWoEa2tr2NnZoV27drh//36+YnN3d0dgYCB69eqlnHS8cuVKlTJPnjxBx44dYW5uDktLS3Tv3l3l7MHVq1fRrFkzWFhYwNLSEr6+vrh06RKA9FM/GcnVxo0bMXPmTFy9ehUSiQQSiQQbN27M1H8AuH79Oj799FOYmprCzs4OX3/9Nd68eaPcn/FaLF68GM7OzrCzs8OwYcMKPJ9JW3SeqPTo0QOLFy/GtGnTUL16dVy5cgUHDhzINMGWiNK1dmsNb3tvJKYlYtWVVWqtm+urFB8ymQze3l6oVKkSLCwsVPZJJBK0bt0aZ86cyZSwHDlyRGsxbtq0CSVKlMD58+excOFCzJo1C4cPH86ybMZCoUeOHEFERAR27NiRZbm3b9/C398fly5dwtGjR2FgYIDOnTtDocjfDPJFixbBx8cHly9fxoQJEzBy5EhlbAqFAh07dsSrV6/w77//4vDhw3jw4AF69OihPL53795wcXHBxYsXERwcjAkTJsDIyChTOz169EBAQACqVq2KiIgIREREqNTzfr9at24NGxsbXLx4EX/88QeOHDmC7777TqXc8ePHcf/+fRw/fhybNm3Cxo0blYmP3hKFXFxcnAAg4uLidB0KFRPBwcECgAgODtZZDJciLwmvjV7CZ5OPuP/6vtrrP/DwgPDa6CW8NnqJk+En1V4/aU5iYqK4deuWSExMzPMxKWlycTX8tdi270SW722FQiFGjx4tAAgfHx81R5yuX79+omPHjsrnTZo0EY0aNVIpU7t2bTF+/HjlcwBi586dQgghHj58KACIy5cv51jvh6KjowUAcf369RzreZ+bm5vw8/NT2dajRw/Rpk0bIYQQhw4dElKpVDx58kS5/+bNmwKAuHDhghBCCAsLC7Fx48Ys6w8KChJWVlbK59OnT8/ydX+//+vWrRM2NjbizZs3yv179+4VBgYGIjIyUgiR/lq4ubmJtLQ0ZZnPP/9c9OjRI9u+fqyc3o95/fzW+YgKEeWfb0lfNHNtBrmQY1nwMrXXz/kqxUt2148JIXDw4EE0aNAAy5YtQ7169bB48WKtxVWtWjWV587Ozh+9avndu3fRq1cveHp6wtLSEu7u7gDST9Xkx4fzKOvXr4/Q0FAAQGhoKFxdXVWuSK1SpQqsra2VZfz9/TFo0CC0aNEC8+fPz/fppw+FhobCx8cHJUqUUG5r2LAhFAoFbt++rdxWtWpVSKVS5XN1vKaaxkSFqJAa7TsaUokUJ56ewL3X99ReP+erFB8fXur+foLi5+cHIH1ux5kzZ9CiRQutxfXhqRCJRJLvUzQfat++PV69eoX169fj/PnzOH/+PID0BUi1acaMGbh58ybatm2LY8eOoUqVKti5c6fG29XEa6ppTFSICikPKw+MrT0Wv332G8rZlFN7/ZyvUnz16NEjU4LSunVrta7do24ymQwAclyN9+XLl7h9+zamTJmC5s2bo3Llynj9+nWB2jt37lym5xnrKlWuXBnh4eEIDw9X7r916xZiY2NRpUoV5bYKFSpg9OjROHToELp06YKgoKBs+5ZTvzLavHr1Kt6+favcdvr0aRgYGKBixYr57p8+YaJCVIj1rtwbPg4+Gquf9wMqXmzt7eHi4gIHB4dCk6BkcHR0hKmpKQ4cOIAXL14gLi4uUxkbGxvY2dlh3bp1uHfvHo4dO6aygGh+nD59GgsXLsSdO3ewcuVK/PHHHxg5Mv2KvBYtWsDb2xu9e/dGSEgILly4gL59+6JJkyaoVasWEhMT8d133+HEiRN4/PgxTp8+jYsXL2a7gKS7uzsePnyIK1euICYmRuU2Mhl69+4NExMT9OvXDzdu3MDx48cxfPhw9OnTp9BfnMJEhaiIiHgTgRS5+oevOV+l6FP8/2XHJZ1LI+TK1UKVoGQwNDTE8uXLsXbtWpQqVQodO3bMVMbAwADbtm1DcHAwvLy8MHr0aCxatKhA7QUEBODSpUuoUaMGZs+ejaVLl6J169YA0k+n/P3337CxscEnn3yCFi1awNPTE9u3bwcASKVSvHz5En379kWFChXQvXt3tGnTJtvbw3Tt2hV+fn5o1qwZHBwcsHXr1kxlzMzMcPDgQbx69Qq1a9dGt27d0Lx5c6xYUfhHQiVC6OlKPnkUHx8PKysrxMXF8eZZpBUhISHw9fVFcHCw1lemzc7GGxvx4+UfMaLmCPSr2k/t9SfLk9FnXx+EvgpFDcca+Ln1zzA0KHR34CgWMlam9fDwyPPKtKlyBUIj0m/w6m5tBEvzErkcUby5u7tj1KhRGDVqlK5D0Xs5vR/z+vnNERWiIsDS2BIpihSsu7YOccmZh7w/FuerEJGuMFEhKgI6lu2IctblEJ8Sjw3XN2ikDc5XISJdYKJCVARIDaTw902fFLg5dDOevXmmkXY4X4Uo/QaIPO2jPUxUiIqIRqUboa5TXaQqUrE8ZLnG2uH6KkSkTUxUiIoIiUQC/1rpoyr7Hu7DzZibGmmH81WISJuYqBAVIVXsqqCdZzuYSE1wL1b9q9Vm4HyVokWSzc9E+oCJClERM9p3NP7p/A86lsu8joQ6cb5K0fH+eimFaOkUKiaYqBAVMY5mjnAq4aSVtjhfhYg0jYkKUREW8iIEJ8JPaKx+zlchIk1jokJURB1/chz9DvTDzLMz8S71ncba4XyVwk/x3gLlikK9Vnnx1r9/f3Tq1CnHMidOnIBEIkFsbKxWYlIHJipERVSj0o3gYu6CmMQYbLq5SaNtcb5K0TFv7hwEBgZmuS8wMBAzZszQWNuRkZEYPnw4PD09YWxsDFdXV7Rv3x5Hjx7VWJvqIJFIsGvXLl2HgR9++AEbN25UPm/atGmm9V4aNGiAiIgIWFlZaTe4j8BEhaiIMpIaYaRv+t1cg24GISYxRqPtcb5K0SCVSjFt2rRMyUpgYCCmTZsGqVSqkXYfPXoEX19fHDt2DIsWLcL169dx4MABNGvWDMOGDStwvUIIpKVlfi+mpKj/Bp66ZmVlBWtr6xzLyGQyODk5FaobTkIUcnFxcQKAiIuL03UoVEwEBwcLACI4OFjXoeRKoVCIL/Z8Ibw2eomZZ2ZqvL0ncU9Evc31hNdGL7Hs0jKNt0eZJSYmilu3bonExMQ8H5OSJhdXw1+Lq+GvRVzCGzFr1iwBQMyaNUsIITI914Q2bdqI0qVLizdv3mTa9/r1ayGEEA8fPhQAxOXLl1X2ARDHjx8XQghx/PhxAUDs27dP1KxZUxgZGYnjx4+LJk2aiGHDhomRI0cKOzs70bRpUyGEENevXxd+fn6iRIkSwtHRUXz55ZciOjpaWX+TJk3E8OHDxdixY4WNjY0oWbKkmD59unK/m5ubAKB8uLm5Zdm/jNi3bt0q6tevL4yNjUXVqlXFiRMnVMqdOHFC1K5dW8hkMuHk5CTGjx8vUlNTlfv/+OMP4eXlJUxMTIStra1o3ry58jXr16+f6Nixo/Ln9+MCIB4+fKh8fTJeUyGE+PPPP0WVKlWETCYTbm5uYvHixSoxubm5iTlz5ogBAwYIc3Nz4erqKtauXZtlPz+U0/sxr5/fTFSI8qkwJSpCCHEp8pLw2uglfDb5iPuv72u8vQMPDwivjV7Ca6OXOBl+UuPtkSp1JCpC/C85kclkGk9SXr58KSQSiZg7d26O5fKTqFSrVk0cOnRI3Lt3T7x8+VI0adJEmJubi7Fjx4qwsDARFhYmXr9+LRwcHMTEiRNFaGioCAkJES1bthTNmjVT1t+kSRNhaWkpZsyYIe7cuSM2bdokJBKJOHTokBBCiKioKAFABAUFiYiICBEVFZVj7C4uLuLPP/8Ut27dEoMGDRIWFhYiJiZGCCHE06dPhZmZmfj2229FaGio2Llzp7C3t1cmRs+fPxeGhoZi6dKl4uHDh+LatWti5cqVIiEhQQihmqjExsaK+vXri8GDB4uIiAgREREh0tLSMiUqly5dEgYGBmLWrFni9u3bIigoSJiamoqgoCBl7G5ubsLW1lasXLlS3L17V8ybN08YGBiIsLCwXH+3TFQEExXSvsKWqAghxPCjw4XXRi/x3ZHvtNLe7LOzhddGL9FoayMR8SZCK21SOnUlKkIIZZIik8k0EarS+fPnBQCxY8eOHMvlJ1HZtWuXyrFNmjQRNWrUUNkWGBgoWrVqpbItPDxcABC3b99WHteoUSOVMrVr1xbjx49XPgcgdu7cmafY58+fr9yWmpoqXFxcxIIFC4QQQkyaNElUrFhRKBQKZZmVK1cKc3NzIZfLlX97Hj16lGUb7ycqGbGPHDlSpcyHicoXX3whWrZsqVJm7NixokqVKsrnbm5u4ssvv1Q+VygUwtHRUaxevTrHPguhnkSFc1SIioHRvqNR2rw0Wrq3hHjvCg9N4XyVwi8wMBApKSmQyWRISUnJdoKtOmjiPVmrVq1M23x9fVWeX716FcePH4e5ubnyUalSJQDA/fv3leWqVaumcpyzszOioqIKFFf9+vWVPxsaGqJWrVoIDQ0FAISGhqJ+/foq80caNmyIN2/e4OnTp/Dx8UHz5s3h7e2Nzz//HOvXr8fr168LFEeG0NBQNGzYUGVbw4YNcffuXcjlcuW2918DiUQCJyenAr8G+cVEhagY8LDywN7Oe9GhbAetTKLj+iqFy4dL6GdMnJ01axaSk5Mxa9asLCfYqkv58uUhkUgQFhaWYzkDg/SPrPcTm9TU1CzLlihRItdtb968Qfv27XHlyhWVx927d/HJJ58oyxkZGakcJ5FIoFAocu6UBkilUhw+fBj79+9HlSpV8OOPP6JixYp4+PChxtvW5WvARIWomJAaaOZqjexwfZXC4/3kdeGC+cokZerUqQCAqVOnajRZsbW1RevWrbFy5Uq8ffs20/6MNT8cHBwAABEREcp9V65cKXC7NWvWxM2bN+Hu7o5y5cqpPLJKdLJjZGSkMvqQk3Pnzil/TktLQ3BwMCpXrgwAqFy5Ms6ePauSiJ0+fRoWFhZwcXEBkP67atiwIWbOnInLly9DJpNh586dWbYlk8lyjaty5co4ffq0yrbTp0+jQoUKGrvCK7+YqBAVI3KFHDvv7kS//f2QItf85ZlcX6XwkcvlKklKhoxkJa8fyPm1cuVKyOVy1KlTB3/99Rfu3r2L0NBQLF++XHm6xNTUFPXq1cP8+fMRGhqKf//9F1OmTClwm8OGDcOrV6/Qq1cvXLx4Effv38fBgwcxYMCAfPXT3d0dR48eRWRkZK6nYlauXImdO3ciLCwMw4YNw+vXr/HVV18BAL799luEh4dj+PDhCAsLw99//43p06fD398fBgYGOH/+PObOnYtLly7hyZMn2LFjB6Kjo5WJTlZxnT9/Ho8ePUJMTEyWIyABAQE4evQoAgMDcefOHWzatAkrVqzAmDFj8tx/TWOiQlSMJMuTseLyCoREhWBr2FattMn5KoXLpMmTMyUpGaZOnaqxBd88PT0REhKCZs2aISAgAF5eXmjZsiWOHj2K1atXK8v9/PPPSEtLg6+vL0aNGoXZs2cXuM1SpUrh9OnTkMvlaNWqFby9vTFq1ChYW1srTzPlxZIlS3D48GG4urqiRo0aOZadP38+5s+fDx8fH/z333/YvXs37O3tAQClS5fGvn37cOHCBfj4+GDIkCEYOHCgMhmztLTEyZMn8dlnn6FChQqYMmUKlixZgjZt2mTZ1pgxYyCVSlGlShU4ODjgyZMnmcrUrFkTv//+O7Zt2wYvLy/laFr//v3z3H9NkwhtzKzToPj4eFhZWSEuLg6Wlpa6DoeKgZCQEPj6+iI4OBg1a9bUdTj5tuPuDkw/Mx2WMkvs67IPVsaaX6EyPD4c3fd0x5vUNxjoNRCjfEdpvM3iKikpCQ8fPoSHhwdMTEzydEyaXIFbEfEAAHdrI1ia5/20B+XNo0eP4OHhgcuXL6N69eq6Dkdrcno/5vXzmyMqRMVMx7IdUc66HOJT4rHh+gattMn5KvqtUH9bpSKPiQpRMSM1kMLf1x8AsDl0M569eaaVdjlfhYgKgokKUTHUqHQj1HWui1RFKpaHLNdau5yvQsWVu7s7hBDF6rSPujBRISqGJBKJclRl/8P9CI8P10q7XF+FiPKLiQpRMVXFrgpG1hyJX9r8AldLV621y/kq2lHIr5OgIkId70MmKkTF2CDvQajuWF3r7XK+iuZkLNKVkqL5dXKIcvPu3TsAmVe2zQ9DdQVDRIVb5NtI2Jvaw9BAO38WxtQeg6vRVxH6KhTjTo7Dz61/1lrbRZmhoSHMzMwQHR0NIyOjPK0HkiZXQKSlJzYpyQokGerHiqRUeAkh8O7dO0RFRcHa2vqjVrnlXwUiwobrG7D6ympMqjsJXSt01UqbGfNVuu/prpyvwvVVPp5EIoGzszMePnyIx48f5+kYhRCIik0CAAgzAxgbG2syRCpGrK2t4eTk9FF1MFEhIhhLjZGiSMHKKyvRxqMNzIzMtNJuxnyVMf+OwU83foJvSV80dmmslbaLMplMhvLly+f59E9iShq+3vkfAGBxS3vlHYSJPoaRkZFa7hfERIWI0LNiT2wJ3YKnb55i061NGOozVGttt3ZvjUuRl7Dt9jZM+m8S/mj/B5xKfNw3MEq/03BeV6ZVGKThWUL6vW0EkOfjiLSBk2mJCEZSI4z0HQkACLoRhJjEGK22z/VVdCsx5X834EtO49VCpF+YqBARAKC1W2t423sjMS0Rq66s0mrbXF9Ft8R7i+gzTSF9w0SFiACkT8IMqBUAIP3GhQ9iH2i1fa6vQkRZYaJCREq+JX3RzLUZDA0MEfoqVOvtc30VIvoQJ9MSkYoJdSbAQGKgswmtXF+FiN7HERUiUlHKvJROr7rhfBUieh8TFSLK1uWoyzj7/KzW2+V8FSLKwESFiLJ04NEB9N3fFzPPzkSKXPv3jeF8Fe2RQPLez0T6hYkKEWXpk9KfwMHUAc/ePMPWsK06iYHrq2iHqex/q4caGzJVIf3CRIWIsmRmZIbvanwHAFh3bR3ikuO0HgPnqxARExUiylbHsh1Rzroc4lPiseH6Bp3EwPkqRMUbExUiypbUQIrRvqMBAJtDN+PZm2c6iYPzVTQrKfV/S+inyLk2LekXJipElKPGpRujrlNdpCpSsTxkuc7i4HwVzVEI8d7POgyEKAs6S1QePXqEgQMHwsPDA6ampihbtiymT5+e59uSE5F2SCQS+Nfyh3MJZzQs3VBncXC+ClHxpLNEJSwsDAqFAmvXrsXNmzexbNkyrFmzBpMmTdJVSESUjSp2VbCvyz50KNtBp3FwvgpR8aOzRMXPzw9BQUFo1aoVPD090aFDB4wZMwY7duzQVUhElAN9WcZek/NV5HI53r59i/j4eOW25ORkCFE0z4cIIZCUlIT4uP/1V54mR2pqqg6jIlKlV3NU4uLiYGtrm2OZ5ORkxMfHqzyISDvkCjl23duFbw5/o9M5IuqYr5KRfJw7dw7du3eHp6cnDA0NYW5ujnbt2gEAUlNTYWJighIlSqBBgwYYPnw4Nm7ciLdv36q1P9qgUCiUP8+fPx9NmzaFlZUVTE1NUb58eeW+f/bshkwmQ+nSpdGhQwfMnDkTJ0+e1EXIRAD0KFG5d+8efvzxR3zzzTc5lps3bx6srKyUD1dXVy1FSERv095i8aXFOPP8DHbd26WzOAo6X+Xp06eYNm0aypUrh4ULFwJI//Lz4sULdOrUCevXr8eWLVswa9YsAOnzc3755RfMmjUL7u7uOHToEAYNGqRMcpYtW4adO3ciLU0/J/YqFAocOXIEXbt2hY2NDWJjYwEAz549g4ODAyZNmoRffvkFGzb8pDymZg1f/Pzzz+jbty+SkpKwfPly/PzzzwCA169fw9/fH7dv39ZFd6i4Emo2fvx4ASDHR2hoqMoxT58+FWXLlhUDBw7Mtf6kpCQRFxenfISHhwsAIi4uTt1dIcpScHCwACCCg4N1HYpO/HLzF+G10Us03d5UvE15q9NYDjw8ILw2egmvjV7iZPjJbMsFBweLzp07C6lUKszNzcXXX38tTp7MvnxOEhIShBBCKBQK0axZMwFAuLi4iMDAQBEREVGgOjVh+fLlokKFCgKA8PLyEnPnzhWvXr3Ksmx0QqJwG79HuI3fI46evqCyT6FQiLdv03/Pp06dEvb29gKAaN68ufjrr79EamqqxvtCRVNcXFyePr/VPqISEBCA0NDQHB+enp7K8s+fP0ezZs3QoEEDrFu3Ltf6jY2NYWlpqfIgIu3pWbEnXMxdEJMYg003N+k0lpzmqwgh8Pr1awBAdHQ07ty5gx9//BHPnz/H2rVr0bhx4wK1aW5uDiB9tOXYsWMIDg6Gn58f5s6dC3d3d8TExHxkrwru1atXytGeU6dOoWbNmjh58iSuXbuGiRMnwsbGJsvjzGT/m39k8sES+hKJBGZmZgCARo0a4enTp/jtt9+QmJiIrl274quvvtJQb4jSSYTQ3SyxZ8+eoVmzZvD19cVvv/0GqVSa+0EfiI+Ph5WVFeLi4pi0kFaEhITA19cXwcHBqFmzpq7D0YkDjw5g7L9jYWpoin1d9sHe1F5nsSTLk9FnXx+EvgpFDcca+Ln1z3gW/gyDBg3Cu3fv8N9//ynLSiSau49NbGwsjh8/js6dOyMtLQ1//PEHevToAQMDzZ9hF0Lg999/x7Bhw7B06VL07dsXQog89/ddShqqTDsIANjSpSQa1KmVp+OuXLkCAKhevTpCQkJgZGQEb2/vAvWBip+8fn7rbI7Ks2fP0LRpU5QpUwaLFy9GdHQ0IiMjERnJFSeJ9F1rt9aoZl8NiWmJWHVllU5j+XC+yqCgQfD29kZYWBimTp0KiUSifGiStbU1OnfuDAA4duwYvvjiCzRv3hwPHjzQaLsvXrxAt27d0LNnT3z66ado06YNAM0mZRmqV6+O6tWrAwBmz54NX19fzJ49m1cNkVrpLFE5fPgw7t27h6NHj8LFxQXOzs7KBxHpt4xF4ABgx90dOl/S/v31VYINg9Hqm1a4ceMG/Pz8dBJPq1atcPToUTx69Aje3t5YsWKFRi5xvnXrFqpWrYqTJ0/i999/x++//w4HB4d816OOJfS3bt2KsWPHYsaMGahXrx5u3LhRoHqIPqSzRKV///4QQmT5ICL951vSF19X+xpBfkFwKuGk63DQ2r01fA18AQAvfF8g0TBRp/F8+umnuHbtGvr164fhw4dj3759am+jQoUK+Oabb3Dr1i18/vnnBa5HHUvoGxsbY86cOTh37hySkpLQoUMHjqyQWujN5clEVPgMrzEcNRxr6DSGCxcuYNy4cRBCYO0Xa/XqfkAWFhZYtWoVzp8/j88++wwAPvrLmBACkyZNwn///QdDQ0PMmTOnQKMomlKrVi1cuHABe/bsgZGREb980kdjokJEahH1LgoKoci9oBoFBwejRYsWOHPmDBITE/X2fkB16tSBRCLBb7/9ht69e0Mul+d+UBaEEAgICMC8efNw69YtNUepPiVKlECVKlXw7t07dOjQQSOjSVR8MFEhoo+27to6fLbjMxx8dFBrbYaGhsLPzw9VqlTBgQMHlJfQ6vP9gMzNzfH777/jm2++KdBIw+zZs7Fs2TKsXLkSX3/9tQYiVC+ZTAapVIquXbtydVsqMCYqRPTRhBBIlifjh5AfkCLX/B3Q4+Li4OfnBycnJ+zbt0+5tkkGTd4P6GN06tQJP//8M3766Sflyrh5tXXrVkybNg2zZ8/Gt99+q6EI1cvQ0BDbtm1DgwYN0L59ezx+/FjXIVEhxESFiD5a36p94WjqiGdvnmFr2FaNtyeVStGlSxf8888/2d4fTB33A9KEvn37YuzYsZg2bVq+Tt9UqFABkyZNKnR3mDcxMcGOHTtgaWmJwYMHc84K5RsTFSL6aKaGphhWYxiA9NNAcclxGmsrLS0N5ubmWLZsGdzd3bMtp6/zVQBg1qxZGDBgACwsLHItK4RAWloafH19MWfOHK2sj6JuVlZW+Omnn+Dn58dEhfKNiQoRqUXHsh1Rzroc4lPiseH6Bo20ERcXh2rVqmH37t15Kq+v81VMTEywZs0auLq65jqxduvWrahbty4SEhI0Fk9OS+irS6tWreDv7w8DA4MCTyam4omJChGphdRACn/f9EXgNoduxrM3z9TexpgxYxAeHg4fH588H6Ov81WA9AnBlSpVws2bN7PcHxkZieHDh6N8+fJ5Gn0pDObPn4+2bdtyZIXyjIkKEalNo9KNUNe5LgwkBrgRo96VSS9evIgNGzZg8eLFcHNzy9ex+jpfxcPDA0ZGRhgxYkSW+ydNmgSpVIoVK/TntNXHqlGjBg4ePIi//vpL16FQIcFEhYjURiKRYGq9qdjTeQ9au7dWa90rVqyAh4cHBg0alO9j9XW+iomJCaZNm4Zjx44hNDRUZd/Lly+xZcsWBAQEwN5eszd9TFbDEvp51bp1a3zyySdFKvkizWKiQkRq5WbppvYl9YUQePXqFYYMGVKgu6wD+jtfpUuXLnB0dMTq1atVtt+9exeurq746quvNB6DXA1L6OfHt99+i3///TfbU15E72OiQkQacyXqCkJehHx0PRKJBP/88w/Gjh37UfXo43wVmUyGwYMH4/z58yrzNurVq4c7d+7o1fL46tK5c2eULl0aZ86c0XUoVAgwUSEijdh9fzf67O+DWWdnfdScEIVCgSNHjkChUKjl0lx9nK8yZcoUnDt3Ttm/0NBQPHr0qFBeipwXMpkMd+/exeDBg3UdChUCTFSISCOaujaFlbEV7sfdx657uwpcz6FDh9CyZUtcunRJLXHp43wVExMTSCQS3LlzBwAwfvx4dOvWTcdRaZapqSlSUlLw4MEDXYdCeo6JChFphKXMEt9U+wYAsPLKSrxLfVegeg4cOABPT0/Url1bbbHp43yVQ4cOoWLFinj69CmOHDmCnj176jokjevRowcCAgJ0HQbpOSYqRKQxPSv2hIu5C2ISY7Dp1qYC1REcHIzatWur/TSIvs1XqVChAgBg9+7dSExMVGtipq8qVqyI4OBgXYdBeo6JChFpjJHUCCN9RwIAgm4EISYxJl/Hy+VyhISEwNfXVxPhqcxX6bmnJ14nvdZIO3nh5uYGW1tbHD58GED6eiNFna+vL8LDwxEVFaXrUEiPMVEhIo1q7dYa3vbeSExLxKorq/J1bExMDKpWrYq6detqJDZjqTEGe6dP6HyZ9BJDDg/RSDt5IZFI4Ovri0ePHqFFixawtLTUWtvaWEI/KxkJKEdVKCdMVIhIoyQSCQJqBaCkWUnUcMzfKEHJkiVx4cIFfPLJJxqKDrA1/d/dl2+9uoVtodtw4sQJbN26FSdOnNDqfWl8fX2RmpqqHFXRlqSUVOXPF4Mva63PHh4esLOzw/3797XSHhVOElHIb7gQHx8PKysrxMXFafUbCBVfGacigoODUbNmTV2HU2ikylNhJDXK1zFJSUmQSqUwMsrfcfkV9S4Kvfb2QtS7KIg0gVcnXkFqLkVqTCqM7xpj2bRl6NKli0ZjAIDExETI5XKYmZnBwEA73yN37NiBkTOXQdpmAgAg/tLfKPE8GD/MnqyVPiclJcHExETj7ZD+yevnN0dUiEgr8pukAMDAgQPRurV6l+LPEJ8Sr/zZ0cwR3dANL3a+QPTeaNg2t4VVXSvYt7VHokcieo/qjR07dmgkjvelpqbCwsJCa/fB2bFjB3oOHYMEyzLKbRa+HZBgVwk9h47RSp+ZpFBumKgQkdbIFXL8fe9vjDo+CgqhyLV8YmKiRj7Izj4/C78//XDw0cH0uORyzJ8zHzAAonZGIXp3NCQSCaJ3RyN6VzQsfC3gP8tf46dEMpaUj4iI0Gg7QHqfR06ZA7MK9RH33xbEnt4KAIg7sw1x/22BWYX6GDVljsb7PGfOnCK/Zgx9HCYqRKQ1scmxmHt+Lo4+OapMEnKSlJQEY2NjtcYQ+TYS40+OR0JqAs4+PwsAOHXqFJLLJ8OxgyMcOzsiamcUbg66iaidUXDs7AjHjo5IKp+EU6c0u95KUlISACAlJUWj7QDpfX7j4A2rBr1g1ag34v7bjMeLOyHuv82watQbVg16IcHBW+N9jomJwa1btzTaBhVuTFSISGvsTO0wwGsAAOCHkB+QIs/5A1kikUCd0+hSFakY8+8YvE5+jcq2lTGx7kQA6SMYRvbpp6YcOzpCYiiBSBOQGErg2NERAGBkb6TxkY6Mvmpj6fyIiAgYWqX3zbphL0BqCMjTAKlh+nMAhlaOGu+zQqHQ2nwcKpz47iAirepbpS8cTB3w7M0zbA3bmmNZU1NT5SiDOiwLXoar0VdhYWSBJU2XwFiaPlrj7OyM1Jj0K1+i/o5SJikiTSDq7/Q1PlJjUuHs7Ky2WHKijWscnJ2dkRaX3rfY01uVSQrkacrTQGlxURrvc2JiIkxNTTXaBhVuhrkXISJSHzMjM3xX4ztMPzMd666tQ6dynWBlbJVl2TVr1qjt2/bhx4fx661fAQBzGs2Bq4Wrcl/jxo1hPMoYUX9HIXpXtPJ0T9TfUYjaGQUhBMwemqFx48ZqiSU7MpkMAPDpp59qtB0gvc/m0QGIO5OKuP+2wKpRb1g37IXY01sR999mAAKWL8M03mdNzUOiooMjKkSkdR3LdkQ563KIT4nH+mvrsy1nb28PW1vbbPfn1dOEp5h6eioAYIDXADQr00xlv1QqxbJpy5AQnACHTg5w6OAAIQQcOjjAoZMDEoITsHTaUkil0o+OJSfe3t74448/lMvpa5JUKsUPsyfj3Z2zsGr0hfJ0j1WDnrBq9AXe3TmL72dP1nifJ0yYgBkzZmi0DSrcmKgQkdZJDaQY7TsaALAlbAteJr7MstzNmzfRsmVLPH/+/KPaK1miJLqW7wrfkr4YUWNElmW6dOmCzd9vhukDU8TsjUHc+TjE7I2B2UMzbP5+s1bWFLGyskJ4eDimTp2q8baA9D5vW70YFvFPlNsSgv+B5cswbFu9WCt9rlq1Kpo3b67xdqjw4oJvRPnEBd/UQwiBRZcWoaVby2xXrH3y5Anc3Nywe/dutG/f/qPbzMuic3K5HKdOnUJERAScnZ3RuHFjjY8qZJg3bx6uXbuGU6dO4enTp1ppEwASk1MxeNmf2LNnD+b1aYKvBw3USp/v3buHDRs2YOzYsbCzs9N4e6RfuOAbEek1iUSCcbXH5bisvqurK+zt7Qt8L5ir0VeRqvjf8vB5WXROKpWiadOm6NWrF5o2baq1JCUtLQ2BgYGQyWR49uwZIiO1dzdnU2Mj+LeqiLjTW1C3di2t9fnkyZNYuHCh2i9Bp6KFiQoR6YWXiS8zXe2ScaO+giQqYa/C8NWBrzDw4ECVVWj11e3bt5GYmIg2bdoAKB436gsODkalSpVgbm6u61BIjzFRISKdW3N1Dfz+8sOpZ5kXF6tVqxbOnz+PtLS0PNcXnxIP/xP+SFGkwEJmAXMj/f8gPHPmDADAz88PdnZ2yufakJgix8gD0XAeuBLJadqbDXD27FnlHZSJssNEhYh07l3aOyTJk7D00lKkKVQTki+//BJBQUF5vkxZCIGp/01FeEI4SpUohbmN5sJAov9/6n766Se0atUK1tbWWLt2LQYNGqS1tt+mpCE8Pg0yezckpuV+awN1CAkJweXLl7l8PuWK66gQkc4N8h6EnXd34n7cfey6twvdKvzvw6tSpUqoVKlSnuvadHMTjoUfg5GBEZY2XZrtGi36RAiBb775Bp6engCArl276jgizXN0dMT06dPRtm1bXYdCek7/v2YQUZFnKbPEN9W+AQCsvLIS71LfqewPDw+Hn58f7ty5k2M9wS+C8X3I9wCACXUmoKp9VY3Eq24SiQQDBgxAkyZNlNs2b96MAQMG6DAqzXJxccGMGTNgaMjvy5QzJipEpBd6VOwBF3MXxCTGYNOtTSr7HBwccOnSJaxZsybb4+UKOWacmQG5kKOtZ1t8XuFzTYesFq9fv8ZXX32FJ0+eqGwXQmDjxo24ffu2jiLTnN9++w3Lli3TdRhUSDBRISK9YCQ1wkjfkQCAoBtBiEmMUe4zMTHBwIEDERQUhLdv32Z5vNRAiuWfLkcrt1aYVm+aVm7spw4bN27Eb7/9plw+P0O3bt1gb2+PVatW6SgyzVAoFJg9ezYuXLig61CokGCiQkR6o7Vba1Szrwa5Qo6r0VdV9g0dOhSJiYmYPn16tsd7WHlgSdMlMDMy03SoahEZGYnZs2fjiy++gJOTk8o+ExMTDBs2DGvWrMGNGzd0FKH6rVixArdv38bIkSN1HQoVEkxUiEhvSCQSzGwwE3s670HzMqrLqru7uyMwMBC//PILYmNjldtPPzuNi5EXtRzpxxNCYMiQITA0NMTixYuzLDNhwgSUK1cOGzZs0HJ0mnHv3j1MmDAB3333HerVq6frcKiQYKJCRHqlnE05OJs7Z7nP398fN27cgLW1NQDg2ZtnGHdyHAYdGoQzz7S37og63LlzBwcPHsTq1athb2+fZRkTExMcO3ZM4/M5LEwM4VfWDAkhe1DCSHMfCz///DOcnJwwb948jbVBRQ8TFSLSW1eiruBmzE3lc6lUCkdHR8TExOCXzb8g4EQA4lPiUcW2Cmo51dJhpPlXsWJF3L9/P9cb/5UsWRISiQRHjhzBzZs3cyxbUMaGUnzta4VXh9fASKq5uT1z5szB6dOnuRIt5QsTFSLSS3/e+RN99vdB4LlAKITqImSbN2/GxIMTcfPlTVjKLLGk6RLIpLJsatIvCoUCGzZswLt371CqVKk8HSOXyzFq1Cj069cPSUlJGo5Q/W7fvo39+/dDIpHA2Tnr0TKi7DBRISK91NS1KcwMzXDz5U0cfHRQZZ9nW0/YNrcFAHzj+g1KmeftA1/XhBAYNWoUvv76a5w8eTLPx0mlUgQFBeHmzZvo1atXvm4nkBdJqXJMPf4SJXvNU/sS+k+fPkWrVq0QEBCAlJQUtdZNxQMTFSLSS/am9vjK6ysAwA8hPyBFnv4hdz/2PgLPBwIAJOclGP/5eNy7d09ncebH9OnT8eOPP2L16tXw8/PL17G1a9fGn3/+iT179mDQoEFQKNS31P2b5DTcjE6BSRlvtS6hHx0djZYtW0IikeDQoUOZLsEmygsmKkSkt/pW7QtHU0c8e/MMW8O2AgD2PtiLxLRE1HWqi4PTD8LGxgaXLl3ScaQ5E0JgwoQJCAwMxIIFC/DNN98UqJ62bdvil19+wblz51SufNJHT58+xSeffILY2FgcPnwYLi4uug6JCikmKkSkt0wNTfFdje8AAOuurUNcchyG1xiOmQ1mYsEnC+Bc0hmXL19Gz549AQCPHz/WZbg5UigUWLZsGcaNG/dR9fTq1QtXr16Fra0toqOjs10AT9cMDQ1RunRpnDx5EuXLl9d1OFSIMVEhIr3WoWwHlLMuh/iUeGy4vgESiQRdyneBnakdAMDY2BgA8Msvv6BcuXKYMWOG3syFuHHjBn799VdIJBIsXLgQo0aNUku9xsbGEEKgQ4cO8PHxwalTp9RS78dSKBRYtWoVnjx5AicnJxw5coRJCn00JipEpNekBlL4+/rD0dQRFWwqZFuuZ8+emDhxImbPno06dergypUr2gvyA2lpaZgzZw5q1qyJZcuWqX3yK5C+ON6mTZtQsmRJNGnSBKNGjcK7d+9yP1BDHjx4gE8//RTDhg3D3r17dRYHFT1MVIhI7zUq3Qj7uu5D+7Ltsy0jk8kwa9YsXLhwAUII1K5dG2fOaH8RuBs3bqBevXqYNm0aAgICcObMGY3dIbhChQo4efIklixZgrVr16JJkyYQQr1X7eRGoVBgxYoV8Pb2xuPHj3H06FEMHTpUqzFQ0aYXiUpycjKqV68OiUSi029BRKSfJBIJjKXGeSpbs2ZNXLx4ET/++CPq1q0LANi2bRuio6M1Fp8QAnK5HED6omaJiYk4d+4c5s2bBxMTE421C6Rfujx69GhcvXoVM2fOhEQiwePHj/HPP/8oY9KEjLpjYmIQEBCA/v374/r16/j000811iYVT3qRqIwbNy7PCx8REeVGJpNhyJAhkEqlePnyJb766iu4uLigT58+OHv2rNpGHeLj47Fy5Up4eXlh+/btAICFCxciODgYtWvXVksbeVWhQgV89tlnAIAdO3agQ4cOKFu2LObNm4eoqKgcjzU3NkR9FxO8DfsPZrksoX/9+nUMHToU5cqVQ1JSEhwdHXHr1i2sXLmSK86SRug8Udm/fz8OHTqU7U25iIg+hp2dHcLDwzFnzhycOXMGDRo0QMuWLZX7w8LC8jyHJCPB2b9/P7p164bSpUtj5MiRqFy5snLSqKurq8ZHUXIzevRoXLhwAZ9++ilmzZoFV1dXbN68GQDw8uVLPH/+XKW8iZEUYxvYIObv+ZC9t4R+Rn+FEBg3bhzq1q2LatWqYffu3ejfvz9SU1MBAGXLltVSz6g40syJ0zx68eIFBg8ejF27dsHMLG+3ZU9OTkZycrLyeXx8vKbCI6Iiws7ODmPGjIG/vz8OHTqkvGfO27dvUbVqVchkMvj4+KBKlSooUaIE5s+fjy1btiA0NBSJiYmIiopCcHAwFi9ejG7duiE6OhovX77E2LFjMXDgQJQuXVrHPcysdu3aqF27NhYvXoyNGzeiXLlyANKvjvL394eTkxN8fX1RunRp1KtXD2XKlAEALFiwABYWFrh9+zaePn2KBw8eQCKR4Pbt23B3d8e4cePQoUMHGBkZ6bJ7VIzoLFERQqB///4YMmQIatWqhUePHuXpuHnz5mHmzJmaDY6IiiQDAwP4+fkpV4WVyWQ4ceIEgoODcenSJdy8eVN5L53//vsPFy9ehImJCWxsbNCtWzflh33fvn3Rt29fnfUjP2xtbeHv7698/sUXX8Dd3R3BwcEIDg5GSEgIbG1t4ejoCAAICQmBjY0NPDw80L59e6SlpcHIyAh///23rrpAxZxEqHmK+IQJE7BgwYIcy4SGhuLQoUP4/fff8e+//0IqleLRo0fw8PDA5cuXUb169WyPzWpExdXVFXFxcbC0tFRXN4iyFRISAl9fXwQHB6NmzZq6DodILfi+Jm2Lj4+HlZVVrp/fah9RyZj9nRNPT08cO3YMZ8+eVS7WlKFWrVro3bs3Nm3alOWxxsbGmY4hIiKiokntiYqDgwMcHBxyLbd8+XLMnj1b+fz58+do3bo1tm/frrykkIiIiIo3nc1RyZi4lSHjsrayZcvy5lVEREQEQA8uTyYiIiLKjk4vT36fu7u71pd+JiIiIv3GERUiIiLSW0xUiIiISG8xUSEiIiK9xUSFiIiI9BYTFSIiItJbTFSIiIhIbzFRISIiIr3FRIWIiIj0FhMVIiIi0ltMVIiIiEhvMVEhIiIivcVEhYiIiPQWExUiIiLSW0xUiIiISG8xUSEiIiK9xUSFiIiI9BYTFSIiItJbTFSIiIhIbzFRISIiIr3FRIWIiIj0FhMVIiIi0ltMVIiIiEhvGeo6ACKi4kwIgYiICMTHxyMpKQnVqlWDgYEBnj59CiEESpcuDQMDfqek4ovvfiIiLRFCIDY2FgDw6tUrtGrVCvb29ihdujQqV66MGjVq4M2bNwCAAQMGoEyZMrCxsUHTpk0REBCAa9eu6TB6It3giAoRkYY9ffoU69evx4YNG+Dq6opz587B2toaVlZWGDlyJKpXrw5bW1uYmJjAzMwMALBkyRI8ffoU165dQ3BwMHbs2IGmTZuiWrVq+P3333Hu3DkMGTIEFSpU0HHviDSLiQoRkYZERkZi2LBh+Pvvv2Fqaoovv/wSnTt3BgAYGBjgjz/+yPbYatWqoVq1avjss8+U24QQAICXL1/il19+wbJly9CyZUt8++23aNeuHQwN+Sedih6e+iEiUrPbt28DAGxsbPDq1SssX74cz549w+rVq9GqVasC1yuRSAAAQ4cOxdOnT/HLL78gPj4enTt3zjHpISrMmKgQEalJdHQ0evToAW9vbzx48ADGxsY4fvw4vv32W1haWqq1LRMTE/Tp0wfnzp1DcHCwcqRm1apVePz4sVrbItIlJipERGrw119/oWrVqjhy5Ag2bdoEDw8PrbVds2ZNmJiYID4+HgsWLICXlxfWrl2rPFVEVJgxUSEi+kjLli1Dt27d0LBhQ9y8eRO9evVSnqbRJktLS1y7dg09e/bEkCFD0KpVKzx79kzrcRCpExMVIqKP1LNnT2zZsgU7duyAk5OTTmOxsrLC+vXrcfDgQYSGhmLhwoU6jYfoYzFRISIqgMePH6N58+Z48uQJnJ2ddTaKkp1WrVrh0qVLWLRoEQAgLS1NxxERFQwTFSKifIqIiMCnn36Khw8fQi6X6zqcbDk5OUEmk+HChQuoVKkSwsLCdB0SUb4xUSEiyoeMFWWTk5Nx/PhxrU6aLahy5crB1NQULVq0wKNHj3QdDlG+MFEhIsojIQR69+6NyMhIHD58GG5ubroOKU9sbW1x6NAhmJiYoEOHDkhJSdF1SER5xkSFiCiPJBIJRo8ejW3btqFy5cq6DidfnJ2d8eeffyI0NBRz5szRdThEecb1lomI8iA+Ph4WFhYftbKsrlWvXh3r169HnTp1dB0KUZ4xUSEiyoUQAt26dUPp0qURFBSk63A+Sv/+/QEASUlJMDAwgEwm021ARLngqR8iolz89NNPOHz4MHr06KH+ytNSgA0tgN0j1F93NlJTU1G3bl0EBgZqrU2igmKiQkSUg3fv3mHcuHHo378//Pz81N9AXDjw9CIQsgl4+1L99WfByMgInTt3xvz587lyLek9JipERDnYtm0bYmNjMW3aNM00YOv5v5+vbtFMG1nw9/eHiYkJ1q9fr7U2iQqCiQoRUQ4MDAwwcOBAza2X8v5qtsEbNdNGFiwtLdGnTx+sW7cOqampWmuXKL+YqBAR5aB///7aG3WQaPdP8tChQ2FpaYnHjx9rtV2i/OBVP0RE2fjzzz9Rp04dlClTRrMNTQgHZCUAA6lm2/mAt7c3QkNDIZFIEBISotW2ifKKIypERFl49eoVvvzyS2zdulXzjZlYaj1JySCRSHDr1i28ePFCJ+0T5YaJChFRFs6cOYPk5GR0795de42mJgEJ2k0YUlJS4OPjg5MnT2q1XaK84qkfIqIsBAcHw9bWFu7u7tppcE4pIPUtYF8B+O6idtoEIJPJULVqVYSGhmqtTaL84IgKEVEWgoOD4evrC8n7V+VoUurb9H9j7gBCaKfN/1erVi0mKqS3mKgQEWWhcuXK6Nixo/YarNbzfz+/eqC9dgH4+vri/v37Wm2TKK+YqBARZWHBggUYNmyY9hp09lH+eO6PH3DixAnI5XKtNF2rVi04OjpqpS2i/NJ5orJ3717UrVsXpqamsLGxQadOnXQdEhEVc3Fxcbhz5w4UCoXW2vzvTozyZ/tbP+PsbD80reaKHTt2aLzt2rVrY8+ePRpvh6ggdJqo/PXXX+jTpw8GDBiAq1ev4vTp0/jiiy90GRIREfbs2YOKFSsiJSVFK+3t2LEDYyfPROC/yQCAsjYGmNBQhpaOLzHr28+1kqwQ6SudXfWTlpaGkSNHYtGiRRg4cKBye5UqVXQVEhERACAxMREAYGxsrPG25HI5lk39Dm3KG2LaifREZWoTYwT+m4zpJ1Iws6kMy6YOR8eOHSGVam6tFa1ehk2UDzpLVEJCQvDs2TMYGBigRo0aiIyMRPXq1bFo0SJ4eXlle1xycjKSk5OVz+Pj47URLhEVI0lJSZDJZFq54ufUqVP4zPkVJjQ0hgQSTDuRjNmnkpEiB2Y1NcaUT2QwOv0Sp06dQtOmTTUWh7ZGj4jyS2enfh48SJ/VPmPGDEyZMgV79uyBjY0NmjZtilevXmV73Lx582BlZaV8uLq6aitkIiompFKp1iayRkREwN0q/U/x1CbGkEmBFDkgk6Y/BwB3KwNERERoNA5t9Zcov9SeqEyYMAESiSTHR1hYmHKS2uTJk9G1a1f4+voiKCgIEokEf/zxR7b1T5w4EXFxccpHeHi4urtARMWcqakpJBIJ0tLSNN6Ws7MzHsWl/z0M/DdZmaSkyKGcs/IoTgFnZ2eNxvH+SDWRPlH7qZ+AgAD0798/xzKenp7Kbwfvz0kxNjaGp6cnnjx5ku2xxsbGWjlvTETFV79+/XL9O6YujRs3xtQIW6SefInpJ1Iwq6mxco7KtBPJEBA4HGWPcY0bazSOpKQkjdZPVFBqT1QcHBzg4OCQazlfX18YGxvj9u3baNSoEQAgNTUVjx49gpubm7rDIiLKM62tRov000yjA1dg1refY2ZTGaZ8IgOQftpHQGBHaBqmrfpRoxNphRD45Zdf0LVrV421QVRQOpujYmlpiSFDhmD69Ok4dOgQbt++jaFDhwIAPv/8c12FRUQEIQQaNmyI9evXa6W9Ll26YNqqP3D4hR2S3jvbNKGRCeZ9vwZdunTRaPsSiUR79zQiyiedrqOyaNEi9OzZE3369EHt2rXx+PFjHDt2DDY2NroMi4iKOYlEgqSkJJw9e1ZrbXbp0gUnrocjxS79dPgbM1fIpEAb81sab/unn37CypUrNd4OUUHoNFExMjLC4sWL8eLFC8THx+Pw4cOoWrWqLkMiIgKQfno6ODhYq21KpVJYla8LADAvVz99Y8ivQKxmLxrYuXMnb0pIekvnS+gTEekjX19f3Lx5U7n4m9Y4VE7/N/kt4N4YUKQC/y3VaJPBwcGoXLmyRtsgKigmKkREWahVqxbkcjnOnz+v3YYdK6X/Gx0KNJ2Q/rMGR1Xu3buHyMhIrgpOeouJChFRFmrUqIGDBw+isYYvC84kY0Tl1UOgtK/GR1XWrVsHGxsb1KtXTyP1E30sJipERFkwMDBAq1atIJVKIYTQXsPmjoCzD1ChNZAUr/FRlUGDBiEoKAimpqZqr5tIHZioEBFlQwiBbt26Yf78+dprVCIBvjkJfLEdsCgJuDfS6KhKhQoV0LFjR7XXS6QuTFSIiLIhkUhgbW2N1atXa2U5/WxpaFSlV69e+Ouvv9RWH5EmMFEhIsrBt99+i/DwcOzevVu7DQuRfuoH0MioyqVLl7Bt2zYYGqp9gXIitWKiQkSUg5o1a6J58+bw9/dHQkKCdhp9fgVY6AGs/eR/29Q4qpKWloahQ4eiUqVKaNu27UfVRaRpTFSIiHKxbt06JCYm4tKlS9pp0LIUkPgaeP0ISHmXvk2NoyqLFi1CSEgINm7cyBEV0ntMVIiIcuHp6YlHjx6hWbNm2mmwhANgagtAADF3/rddDaMqCoUC+/fvx5gxY1C3bt2Pj5VIw5ioEBHlgampKd68eYOpU6dq/hSQRAI4/v96KtFh/9uuhlEVAwMDHDt2DIGBgWoIlEjzmKgQEeVRVFQUli1bhlGjRml+bRWH/1+hNuqDe/B8xKjKmjVrcP78eRgaGkImk6khSCLNY6JCRJRHnp6eWLFiBX7++WfMmDFDs41lNaICFHhUZf369Rg6dCgOHjyoxiCJNI+JChFRPvTv3x/z58/HrFmzsGTJEs01lDGi8mGiAuR7VGXbtm345ptvMGzYMEydOlWNQRJpHqd7ExHl0/jx4xEXF4cXL15orhHHKkDZT9P/FSJ93kqGjFGVR6fSR1XaLcu2ml9//RX9+/fHl19+ieXLl0Pyfj1EhQATFSKiApgzZ47y5wsXLqBmzZrqvdS3hB3QZ2f2+5tOADaeSh9VaeQPWLtmWaxy5coYNWoUFi5cCAMDDqJT4cN3LRFRAUgkEkgkEjx+/BiffPIJ6tWrhxs3bmgvgBzmqjx+/BjffvstUlJSUKtWLSxZsgRSqVR7sRGpERMVIqKP4ObmhlOnTiExMRE1a9bEnDlz1HtfoMTXQOyTrPd9MFdFCIG1a9fCy8sLe/bswcOHD9UXB5GOMFEhIvpItWvXRnBwMAICAjBt2jT1TVgN+RVY4A7sHZP1/vdGVRL2z0SrVq0wZMgQ9OrVC9evX0fFihXVEweRDnGOChGRGpiYmGDevHno0qUL3NzcAAB//vknTE1N4efnV7BTL7Ye6f9Gh2a5WwiBt7WHw/zRKZS4swMJT81w8OBBtGrVqqDdINI7HFEhIlKj2rVrw9HREQCwZcsWtGvXDuXKlcOCBQsQHR2dv8oc/n8tldgnQPIb5eb4+HisWrUK3t7e+GLiSsC9MQyEHCfndmKSQkUOExUiIg3566+/cP78eTRp0gTTp0+Hi4sLHjx4AAAIDg5GWFgYFApF9hWUsIMo4ZD+c8wd3L59Gy1atECpUqUwYsQIVKxYEaNGjVLOVZFd3/bRd1Ym0jc89UNEpCESiQR16tRBnTp1sGTJEmzevBllypQBAIwcORKnT5+Gubk5fHx8YGNjgzFjxuDNmzfYtGkTkpKSEBcXh8By0fjEFUB0GKydm8Pc3BxTpkzBl19+CRcXl/81lsd1VYgKGyYqRERaYGdnhxEjRiif//PPPwgJCUFwcDCuXbumvNFhUlISYmNjYWpqilKlSsG0jAQQl4GoUJSs/gV27dqVdQN5XFeFqLBhokJEpAM2NjZo3rw5mjdvnmlf165d//fk4gZg7+Wsl9J/Xz5WqyUqTDhHhYhIn7nWBWoNBLw/z73sR9xZmUhfMVEhItJnTt5Au6VAte65ly3gnZWJ9BkTFSKiooSjKlTEMFEhItJ3KW+BZyHAy/u5l+WoChUxTFSIiPTdkZnA+mZAcFDeynNUhYoQJipERPrOsVL6v1G5XPmTgaMqVIQwUSEi0ncZS+nndony+ziqQkUEExUiIn3n8P93QY4LB5IT8nYMR1WoiGCiQkSk78xsAfOS6T9H3877cRxVoSKAiQoRUWHgkDFPJTTvx3BUhYoAJipERIWBYwHmqQAcVaFCj4kKEVFhULk90GoO4NU197Lv46gKFXJMVIiICgP3RkCD74DSNfN/LEdVqBBjokJEVNRxVIUKMSYqRESFRfQd4PqfQOyT/B/LURUqpJioEBEVFvvHAX8NBB6cyP+xHFWhQoqJChFRYeGQz6X0P8RRFSqEmKgQERUWGff8ye8lyhk4qkKFEBMVIqLCoiD3/PkQR1WokGGiQkRUWGTc8yf+GZAUV7A6OKpChQwTFSKiwsLUGrBwTv85P/f8+RBHVagQYaJCRFSYOHzkPBWAoypUqDBRISIqTBqOBHpuASr4fVw9HFWhQoKJChFRYVK2GVCpLWDu+HH1uDeCwq0RR1VI7zFRISIqhsLDw9FjxQUAgCJ4EwzfRuo4IqKs6TRRuXPnDjp27Ah7e3tYWlqiUaNGOH78uC5DIiLSb0IAoXuAk4uApPgCVxMdHY0/Q2JwNlwOAyFH2PpB/1+9UFekRGqh00SlXbt2SEtLw7FjxxAcHAwfHx+0a9cOkZHM7ImIsiSRAPvGAsdmA1GhH12drWn6v53d3sDVUoKv+vfFwYMHmbCQ3tBZohITE4O7d+9iwoQJqFatGsqXL4/58+fj3bt3uHHjRrbHJScnIz4+XuVBRFSsKFeo/fhE5W1q+r9GUgn++6oETOPuws/PDw3q1cWRI0c+un6ij6WzRMXOzg4VK1bEL7/8grdv3yItLQ1r166Fo6MjfH19sz1u3rx5sLKyUj5cXV21GDURkR7IWKG2oPf8kafBIjoY69qboFrJ/30MlLEywNkBJhhdT4ZzFy5izOgRagiW6OMY6qphiUSCI0eOoFOnTrCwsICBgQEcHR1x4MAB2NjYZHvcxIkT4e/vr3weHx/PZIWIipeCjqiEXwSubgVCd6P822iUrylT7hJC4OIzOUYcSsX58FTUq1MbgXPmqjFoooJR+4jKhAkTIJFIcnyEhYVBCIFhw4bB0dERp06dwoULF9CpUye0b98eERER2dZvbGwMS0tLlQcRUbGivOdPLqvTKhTpjww3/gIu/QS8jUaazBJrg1NwJ0aOQ/fSUD8oCXV/eodEq/I4cOAAzpw7jxYtWmiuD0R5pPYRlYCAAPTv3z/HMp6enjh27Bj27NmD169fK5ONVatW4fDhw9i0aRMmTJig7tCIiIqGjHv+JEQAibHpS+tnEAJ4HgLc2AHc3AV0Wgl4Nk3fV+1zIDkB8OqMa7GWGDK5LsraGuL+qzRU86oChN/Czxt/yfH0O5G2qT1RcXBwgIODQ67l3r17BwAwMFAd1DEwMIDi/W8ARESkysQSsHQB4p+mL6XvWheIvPb/yclOIPbx/8re2v2/RKW0b/oDgOPTp3At5QQHF1esnBUIe3t71KpVCxKJRPv9IcqBzuao1K9fHzY2NujXrx+mTZsGU1NTrF+/Hg8fPkTbtm11FRYRUeHQZR1gZgsYWwI/+gKv7v9vn5FZ+hL7Xl2AclmfvnFxccHdB48gk8kgkUgQEhKipcCJ8kdniYq9vT0OHDiAyZMn49NPP0VqaiqqVq2Kv//+Gz4+ProKi4iocHBvmP6vEICQA4YmQPlWQNXOQIXWgKxErlUYGxtrOEiij6ezRAUAatWqhYMHD+oyBCKiwk0iAXr8Bti4A8YWuo6GSO10mqgQEZEaOHnrOgIijeFNCYmIiEhvMVEhIiIivcVEhYiIiPQWExUiIiLSW0xUiIiISG8xUSEiIiK9xUSFiIiI9BYTFSIiItJbTFSIiIhIbzFRISIiIr3FRIWIiIj0FhMVIiIi0ltMVIiIiEhvMVEhIiIivcVEhYiIiPQWExUiIiLSW0xUiIiISG8xUSEiIiK9xUSFiIiI9BYTFSIiItJbTFSIiIhIbzFRISIiIr3FRIWIiIj0FhMVIiIi0ltMVIiIiEhvMVEhIiIivcVEhYiIiPQWExUiIiLSW0xUiIiISG8xUSEiIiK9xUSFiIiI9BYTFSIiItJbTFSIiIhIbzFRISIiIr3FRIWIiIj0FhMVIiIi0ltMVIiIiEhvMVEhIiIivcVEhYiIiPQWExUiIiLSW0xUiIiISG8xUSEiIiK9xUSFiIiI9BYTFSIiItJbTFSIiIhIbzFRISIiIr3FRIWIiIj0FhMVIiIi0lsaS1TmzJmDBg0awMzMDNbW1lmWefLkCdq2bQszMzM4Ojpi7NixSEtL01RIREREVMgYaqrilJQUfP7556hfvz5++umnTPvlcjnatm0LJycnnDlzBhEREejbty+MjIwwd+5cTYVFREREhYjGRlRmzpyJ0aNHw9vbO8v9hw4dwq1bt/Dbb7+hevXqaNOmDQIDA7Fy5UqkpKRoKiwiIiIqRDQ2opKbs2fPwtvbGyVLllRua926NYYOHYqbN2+iRo0aWR6XnJyM5ORk5fP4+HiNx0qUldDQUF2HQKQ2fD+TvtJZohIZGamSpABQPo+MjMz2uHnz5mHmzJkajY0oJxYWFgCAL7/8UseREKlfxvubSF/kK1GZMGECFixYkGOZ0NBQVKpU6aOCysnEiRPh7++vfB4fHw9XV1eNtUf0ofLly+POnTtISEjQdShEamVhYYHy5cvrOgwiFflKVAICAtC/f/8cy3h6euapLicnJ1y4cEFl24sXL5T7smNsbAxjY+M8tUGkKfxjTkSkHflKVBwcHODg4KCWhuvXr485c+YgKioKjo6OAIDDhw/D0tISVapUUUsbREREVLhpbI7KkydP8OrVKzx58gRyuRxXrlwBAJQrVw7m5uZo1aoVqlSpgj59+mDhwoWIjIzElClTMGzYMI6YEBEREQBAIoQQmqi4f//+2LRpU6btx48fR9OmTQEAjx8/xtChQ3HixAmUKFEC/fr1w/z582FomPf8KT4+HlZWVoiLi4OlpaW6wiciIiINyuvnt8YSFW1hokJERFT45PXzm/f6ISIiIr3FRIWIiIj0FhMVIiIi0ltMVIiIiEhvMVEhIiIivcVEhYiIiPQWExUiIiLSW0xUiIiISG8xUSEiIiK9xUSFiIiI9BYTFSIiItJbTFSIiIhIbzFRISIiIr3FRIWIiIj0FhMVIiIi0ltMVIiIiEhvMVEhIiIivcVEhYiIiPQWExUiIiLSW0xUiIiISG8xUSEiIiK9xUSFiIiI9BYTFSIiItJbTFSIiIhIbzFRISIiIr1lqOsAPpYQAgAQHx+v40iIiIgorzI+tzM+x7NT6BOVhIQEAICrq6uOIyEiIqL8SkhIgJWVVbb7JSK3VEbPKRQKPH/+HBYWFpBIJLoOB/Hx8XB1dUV4eDgsLS11HY7GFbf+AuxzcehzcesvUPz6XNz6C+hfn4UQSEhIQKlSpWBgkP1MlEI/omJgYAAXFxddh5GJpaWlXrwRtKW49Rdgn4uD4tZfoPj1ubj1F9CvPuc0kpKBk2mJiIhIbzFRISIiIr3FREXNjI2NMX36dBgbG+s6FK0obv0F2OfioLj1Fyh+fS5u/QUKb58L/WRaIiIiKro4okJERER6i4kKERER6S0mKkRERKS3mKgQERGR3mKiQkRERHqLiYoWJCcno3r16pBIJLhy5Yquw9GYR48eYeDAgfDw8ICpqSnKli2L6dOnIyUlRdehqdXKlSvh7u4OExMT1K1bFxcuXNB1SBoxb9481K5dGxYWFnB0dESnTp1w+/ZtXYelVfPnz4dEIsGoUaN0HYrGPHv2DF9++SXs7OxgamoKb29vXLp0SddhaYxcLsfUqVNV/k4FBgbmemO8wuTkyZNo3749SpUqBYlEgl27dqnsF0Jg2rRpcHZ2hqmpKVq0aIG7d+/qJtg8YKKiBePGjUOpUqV0HYbGhYWFQaFQYO3atbh58yaWLVuGNWvWYNKkSboOTW22b98Of39/TJ8+HSEhIfDx8UHr1q0RFRWl69DU7t9//8WwYcNw7tw5HD58GKmpqWjVqhXevn2r69C04uLFi1i7di2qVaum61A05vXr12jYsCGMjIywf/9+3Lp1C0uWLIGNjY2uQ9OYBQsWYPXq1VixYgVCQ0OxYMECLFy4ED/++KOuQ1Obt2/fwsfHBytXrsxy/8KFC7F8+XKsWbMG58+fR4kSJdC6dWskJSVpOdI8EqRR+/btE5UqVRI3b94UAMTly5d1HZJWLVy4UHh4eOg6DLWpU6eOGDZsmPK5XC4XpUqVEvPmzdNhVNoRFRUlAIh///1X16FoXEJCgihfvrw4fPiwaNKkiRg5cqSuQ9KI8ePHi0aNGuk6DK1q27at+Oqrr1S2denSRfTu3VtHEWkWALFz507lc4VCIZycnMSiRYuU22JjY4WxsbHYunWrDiLMHUdUNOjFixcYPHgwfv31V5iZmek6HJ2Ii4uDra2trsNQi5SUFAQHB6NFixbKbQYGBmjRogXOnj2rw8i0Iy4uDgCKzO8zJ8OGDUPbtm1VftdF0e7du1GrVi18/vnncHR0RI0aNbB+/Xpdh6VRDRo0wNGjR3Hnzh0AwNWrV/Hff/+hTZs2Oo5MOx4+fIjIyEiV97aVlRXq1q2rt3/HCv3dk/WVEAL9+/fHkCFDUKtWLTx69EjXIWndvXv38OOPP2Lx4sW6DkUtYmJiIJfLUbJkSZXtJUuWRFhYmI6i0g6FQoFRo0ahYcOG8PLy0nU4GrVt2zaEhITg4sWLug5F4x48eIDVq1fD398fkyZNwsWLFzFixAjIZDL069dP1+FpxIQJExAfH49KlSpBKpVCLpdjzpw56N27t65D04rIyEgAyPLvWMY+fcMRlXyaMGECJBJJjo+wsDD8+OOPSEhIwMSJE3Ud8kfLa5/f9+zZM/j5+eHzzz/H4MGDdRQ5qcuwYcNw48YNbNu2TdehaFR4eDhGjhyJzZs3w8TERNfhaJxCoUDNmjUxd+5c1KhRA19//TUGDx6MNWvW6Do0jfn999+xefNmbNmyBSEhIdi0aRMWL16MTZs26To0ygZHVPIpICAA/fv3z7GMp6cnjh07hrNnz2a6+VOtWrXQu3fvQvWfIq99zvD8+XM0a9YMDRo0wLp16zQcnfbY29tDKpXixYsXKttfvHgBJycnHUWled999x327NmDkydPwsXFRdfhaFRwcDCioqJQs2ZN5Ta5XI6TJ09ixYoVSE5OhlQq1WGE6uXs7IwqVaqobKtcuTL++usvHUWkeWPHjsWECRPQs2dPAIC3tzceP36MefPmFdlRpPdl/K168eIFnJ2dldtfvHiB6tWr6yiqnDFRyScHBwc4ODjkWm758uWYPXu28vnz58/RunVrbN++HXXr1tVkiGqX1z4D6SMpzZo1g6+vL4KCgmBgUHQG7WQyGXx9fXH06FF06tQJQPo30qNHj+K7777TbXAaIITA8OHDsXPnTpw4cQIeHh66DknjmjdvjuvXr6tsGzBgACpVqoTx48cXqSQFABo2bJjpkvM7d+7Azc1NRxFp3rt37zL9XZJKpVAoFDqKSLs8PDzg5OSEo0ePKhOT+Ph4nD9/HkOHDtVtcNlgoqIhZcqUUXlubm4OAChbtmyR/Vb67NkzNG3aFG5ubli8eDGio6OV+4rKiIO/vz/69euHWrVqoU6dOvj+++/x9u1bDBgwQNehqd2wYcOwZcsW/P3337CwsFCev7aysoKpqamOo9MMCwuLTHNwSpQoATs7uyI5N2f06NFo0KAB5s6di+7du+PChQtYt25dkRoJ/VD79u0xZ84clClTBlWrVsXly5exdOlSfPXVV7oOTW3evHmDe/fuKZ8/fPgQV65cga2tLcqUKYNRo0Zh9uzZKF++PDw8PDB16lSUKlVK+QVM7+j6sqPi4uHDh0X+8uSgoCABIMtHUfLjjz+KMmXKCJlMJurUqSPOnTun65A0IrvfZVBQkK5D06qifHmyEEL8888/wsvLSxgbG4tKlSqJdevW6TokjYqPjxcjR44UZcqUESYmJsLT01NMnjxZJCcn6zo0tTl+/HiW/3f79esnhEi/RHnq1KmiZMmSwtjYWDRv3lzcvn1bt0HnQCJEEVqOj4iIiIqUojOBgIiIiIocJipERESkt5ioEBERkd5iokJERER6i4kKERER6S0mKkRERKS3mKgQERGR3mKiQkRERHqLiQoRERHpLSYqREREpLeYqBAREZHe+j8To/9ilgoWswAAAABJRU5ErkJggg==",
"output_type": "display_data"
}
],
"source": [
"optimal = np.array([[6, -3, 1], [5, -6, 2], [4, -3, 4]]) # user-defined optimal turbine layouts\n",
"\n",
"plot_comp = DummyCostPlotComp(optimal, delay=0.5, plot_improvements_only=True)\n",
"\n",
"optimize(EasyScipyOptimizeDriver(optimizer='SLSQP', maxiter=200, tol=1e-6, disp=False))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 3) Gradient-Free Optimization with the ScipyOptimizeDriver\n",
"\n",
"A popular **Gradient-Free Optimization Algorithm** optimization method in SciPy is the **Constrained Optimization BY Linear Approximation** (COBYLA), a local-search method which does not rely on the computation of the gradient. In particular, it performs a linear approximation of the objective function and it iterates the searching process until the optimal is found.\n",
"\n",
"Now we will set up the original optimization problem from scratch and we will specifiy COBYLA as the optimization driver. The maximum number of iterations and tolerance parameters are kept the same."
"execution_count": 13,
"metadata": {},
"outputs": [
{
"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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",
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
"output_type": "display_data"
}
],
"source": [
"#set optimal back to original optimal\n",
"optimal = np.array([[3, -3, 1], [7, -7, 2], [4, -3, 4]]) # user-defined optimal turbine layouts\n",
"\n",
"plot_comp = DummyCostPlotComp(optimal, delay=0.5, plot_improvements_only=True)\n",
"\n",
"from topfarm.easy_drivers import EasyScipyOptimizeDriver\n",
"optimize(EasyScipyOptimizeDriver(optimizer='COBYLA', maxiter=200, tol=1e-6, disp=False))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 4) Metaheuristic Optimization with the Genetic Algorithm (GA) driver\n",
"This example shows a simple **Genetic Algorithm metaheuristic optimization** approach. The Genetic Algorithm explores the space of the design variables much more exhaustively than the step-by-step algorithms seen above. However, such more comprehensive exploration comes at the cost of a slower convergence to the optimal solution."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**Import the TOPFARM implmentation of the GA driver and execute an optimization.**"
"execution_count": 14,
{
"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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",
"output_type": "display_data"
}
],
"source": [
"from topfarm.drivers.random_search_driver import RandomizeTurbinePosition_Circle\n",
"from topfarm.easy_drivers import EasySimpleGADriver\n",
"\n",
"# choose parameters for optimization: max_gen sets the number of iterations and pop_size sets the number of individuals in the population within each iteration\n",
"optimize(EasySimpleGADriver(max_gen=100, pop_size=5, Pm=None, Pc=.5, elitism=True, bits={}))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"As just introduced, the Genetic Algorithm can be very slow; indeed, even after 100 generations, the full convergence is not achieved yet. This clearly shows the advantages of gradient-based methods for smartly probing the design space. "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 5) Heuristic Optimization with the Easy Random-Search driver\n",
"An example of **Heuristic methods** are **Random-Search algorithms**; the Topfarm library includes a simple random-search algorithm based on the work of Ju Feng, actually Senior Researcher at DTU Wind an Energy Systems. In a few words, this recursive algorithm chooses the positions of the wind turbines at each iteration by randomly extracting two real numbers, which correspond to the euclidean norm and the angle of a reference vector. Per each iteration, the candidate solution is tested for improvement against the objective function. The reference paper, containing the major information about such algorithm, can be found at [here](https://www.sciencedirect.com/science/article/pii/S0960148115000129?via%3Dihub). "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**Set up optimization using TOPFARM implementation of random search with turbine position circle method.**"
"execution_count": 15,
{
"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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",
"output_type": "display_data"
}
],
"source": [
"initial = np.array([[8, -9, 0], [7, -2, 0], [5, -5, 0]]) # user-defined initial turbine layouts\n",
"boundary = np.array([(0, 0), (10, 0), (10, -10), (0, -10)]) # user-defined site boundary vertices\n",
"optimal = np.array([[3, -3, 1], [7, -7, 2], [4, -3, 4]]) # user-defined optimal turbine layouts\n",
"\n",
"from topfarm.drivers.random_search_driver import RandomizeTurbinePosition_Circle\n",
"from topfarm.easy_drivers import EasyRandomSearchDriver\n",
"\n",
"# Set up key parameters of random search\n",
"# Maximum iterations max_iter sets the maximum number of iterations of the optimization\n",
"# Maximum time max_time limits execution time (so also limits the overall number of iterations)\n",
"# Maximum step max_step limits how much the design can change on a given iteration\n",
"optimize(EasyRandomSearchDriver(\n",
" randomize_func=RandomizeTurbinePosition_Circle(max_step=5), \n",
" max_iter=100, \n",
" max_time=1000, \n",
" disp=False))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"This example shows that, weather the Heuristic Random-Search algorithm from J. Feng takes less iterations with respect to the Metaheuristic GA, it's still slower than gradient-based methods. However, it remains of great importance to have Heuristic and Metaheuristic methods at our disposal, as they are more powerful in the face of complex functions with many local minima and plateaux, where gradient-based methods easily fail."
},
{
"cell_type": "markdown",
"metadata": {},
"source": []
}
],
"metadata": {
"celltoolbar": "Raw Cell Format",
"kernelspec": {
"display_name": "topfarm_old",
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.9.20"
},
"toc": {
"base_numbering": 1,
"nav_menu": {},
"number_sections": true,
"sideBar": true,
"skip_h1_title": false,
"title_cell": "Table of Contents",
"title_sidebar": "Contents",
"toc_cell": false,
"toc_position": {},
"toc_section_display": true,
"toc_window_display": true
}
},
"nbformat": 4,
"nbformat_minor": 2
}