{ "cells": [ { "cell_type": "markdown", "metadata": { "collapsed": true }, "source": [ "# Effective Stiffness of Composite Material\n", "\n", "## Introduction\n", "\n", "This example uses the `MKSHomogenizationModel` to create a homogenization linkage for the effective stiffness. This example starts with a brief background of the homogenization theory on the components of the effective elastic stiffness tensor for a composite material. Then the example generates random microstructures and their average stress values that will be used to show how to calibrate and use our model. We will also show how to use tools from [sklearn](http://scikit-learn.org/stable/) to optimize fit parameters for the `MKSHomogenizationModel`. Lastly, the data is used to evaluate the `MKSHomogenizationModel` for effective stiffness values for a new set of microstructures.\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Linear Elasticity and Effective Elastic Modulus\n", "\n", "For this example we are looking to create a homogenization linkage that predicts the effective isotropic stiffness components for two-phase microstructures. The specific stiffness component we are looking to predict in this example is $C_{xxxx}$ which is easily accessed by applying an uniaxial macroscal strain tensor (the only non-zero component is $\\varepsilon_{xx}$). \n", "\n", "$$ u(L, y) = u(0, y) + L\\bar{\\varepsilon}_{xx}$$\n", "\n", "$$ u(0, L) = u(0, 0) = 0 $$\n", "\n", "$$ u(x, 0) = u(x, L) $$\n", "\n", "More details about these boundary conditions can be found in [1]. Using these boundary conditions, $C_{xxxx}$ can be estimated calculating the ratio of the averaged stress over the applied averaged strain.\n", "\n", "$$ C_{xxxx}^* \\cong \\bar{\\sigma}_{xx} / \\bar{\\varepsilon}_{xx}$$ \n", "\n", "In this example, $C_{xxxx}$ for 6 different types of microstructures will be estimated, using the `MKSHomogenizationModel` from `pymks`, and provides a method to compute $\\bar{\\sigma}_{xx}$ for a new microstructure with an applied strain of $\\bar{\\varepsilon}_{xx}$.\n" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "#PYTEST_VALIDATE_IGNORE_OUTPUT\n", "\n", "from __future__ import print_function\n", "import warnings\n", "warnings.filterwarnings('ignore')\n", "import pymks\n", "\n", "%matplotlib inline\n", "%load_ext autoreload\n", "%autoreload 2\n", "\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Data Generation\n", "\n", "A set of periodic microstructures and their volume averaged elastic stress values $\\bar{\\sigma}_{xx}$ can be generated by importing the `make_elastic_stress_random` function from `pymks.datasets`. This function has several arguments. `n_samples` is the number of samples that will be generated, `size` specifies the dimensions of the microstructures, `grain_size` controls the effective microstructure feature size, `elastic_modulus` and `poissons_ratio` are used to indicate the material property for each of the\n", "phases, `macro_strain` is the value of the applied uniaxial strain, and the `seed` can be used to change the the random number generator seed.\n", "\n", "Let's go ahead and create 6 different types of microstructures each with 200 samples with dimensions 21 x 21. Each of the 6 samples will have a different microstructure feature size. The function will return and the microstructures and their associated volume averaged stress values.\n" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "from pymks.datasets import make_elastic_stress_random\n", "\n", "\n", "sample_size = 200\n", "grain_size = [(15, 2), (2, 15), (7, 7), (8, 3), (3, 9), (2, 2)]\n", "n_samples = [sample_size] * 6\n", "elastic_modulus = (310, 200)\n", "poissons_ratio = (0.28, 0.3)\n", "macro_strain = 0.001\n", "size = (21, 21)\n", "\n", "X, y = make_elastic_stress_random(n_samples=n_samples, size=size, grain_size=grain_size, \n", " elastic_modulus=elastic_modulus, poissons_ratio=poissons_ratio, \n", " macro_strain=macro_strain, seed=0)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The array `X` contains the microstructure information and has the dimensions \n", "of `(n_samples, Nx, Ny)`. The array `y` contains the average stress value for \n", "each of the microstructures and has dimensions of `(n_samples,)`.\n" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(1200, 21, 21)\n", "(1200,)\n" ] } ], "source": [ "print(X.shape)\n", "print(y.shape)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Lets take a look at the 6 types the microstructures to get an idea of what they \n", "look like. We can do this by importing `draw_microstructures`. \n" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from pymks.tools import draw_microstructures\n", "\n", "\n", "X_examples = X[::sample_size]\n", "draw_microstructures(X_examples[:3])\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In this dataset 4 of the 6 microstructure types have grains that are elongated in either\n", "the x or y directions. The remaining 2 types of samples have equiaxed grains with\n", "different average sizes.\n", "\n", "Let's look at the stress values for each of the microstructures shown above.\n" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Stress Values [ 0.23667242 0.23284418 0.26548572 0.25849173 0.25648683 0.24744216]\n" ] } ], "source": [ "#PYTEST_VALIDATE_IGNORE_OUTPUT\n", "\n", "print('Stress Values', y[::200])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now that we have a dataset to work with, we can look at how to use the `MKSHomogenizationModel`to predict stress values for new microstructures.\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## MKSHomogenizationModel Work Flow\n", "\n", "The default instance of the `MKSHomogenizationModel` takes in a dataset and \n", " - calculates the 2-point statistics \n", " - performs [dimensionality reduction](http://en.wikipedia.org/wiki/Dimensionality_reduction) using [Prinicple Component Analysis](https://en.wikipedia.org/wiki/Principal_component_analysis) (PCA) \n", " - and fits a [polynomial regression model](http://en.wikipedia.org/wiki/Polynomial_regression) model to the low-dimensional representation. \n", "\n", "This work flow has been shown to accurately predict effective properties in several examples [2][3], and requires that we specify the number of components used in dimensionality reduction and the order of the polynomial we will be using for the polynomial regression. In this example we will show how we can use tools from [sklearn](http://scikit-learn.org/stable/) to try and optimize our selection for these two parameters.\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##Modeling with MKSHomogenizationModel\n", "\n", "In order to make an instance of the `MKSHomogenizationModel`, we need to pass an instance of a basis (used to compute the 2-point statistics). For this particular example, there are only 2 discrete phases, so we will use the `PrimitiveBasis` from `pymks`. We only have two phases denoted by 0 and 1, therefore we have two local states and our domain is 0 to 1.\n", "\n", "Let's make an instance of the `MKSHomgenizationModel`.\n" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "from pymks import MKSHomogenizationModel\n", "from pymks import PrimitiveBasis\n", "\n", "\n", "prim_basis = PrimitiveBasis(n_states=2, domain=[0, 1])\n", "model = MKSHomogenizationModel(basis=prim_basis, periodic_axes=[0, 1],\n", " correlations=[(0, 0), (1, 1)])\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's take a look at the default values for the number of components and the order of the polynomial." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Default Number of Components 5\n", "Default Polynomail Order 1\n" ] } ], "source": [ "print('Default Number of Components', model.n_components)\n", "print('Default Polynomail Order', model.degree)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "These default parameters may not be the best model for a given problem; we will now show one method that can be used to optimize them.\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Optimizing the Number of Components and Polynomial Order\n", "\n", "To start with, we can look at how the variance changes as a function of the number of components.\n", "In general for SVD as well as PCA, the amount of variance captured in each component decreases\n", "as the component number increases.\n", "This means that as the number of components used in the dimensionality reduction increases, the percentage of the variance will asymptotically approach 100%. Let's see if this is true for our dataset.\n", "\n", "In order to do this we will change the number of components to 40 and then\n", "fit the data we have using the `fit` function. This function performs the dimensionality reduction and \n", "also fits the regression model. Because our microstructures are periodic, we need to \n", "use the `periodic_axes` argument when we `fit` the data.\n" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "model.n_components = 40\n", "model.fit(X, y)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now look at how the cumlative variance changes as a function of the number of components using `draw_component_variance` \n", "from `pymks.tools`.\n" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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aFklPQE6ePIlWrVph165dMDCQlMMQUQNWWU2HSizG+bQE7L91Cg+Ks2AraC9S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\nGECSJNHq1asV9jd+/Hj598eqVasUls2aNYuEEBQSEqIwvnnzZhJCUKt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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from pymks.tools import draw_component_variance\n", "\n", "\n", "draw_component_variance(model.dimension_reducer.explained_variance_ratio_)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Roughly 93 percent of the variance is captured with the first 5 components. This means our model may only need a few components to predict the average stress.\n", "\n", "Next we need to optimize the number of components and the polynomial order. To do this we are going to split the data into test and training sets. This can be done using the [train_test_spilt](http://scikit-learn.org/stable/modules/generated/sklearn.cross_validation.train_test_split.html) function from `sklearn`.\n" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(960, 441)\n", "(240, 441)\n" ] } ], "source": [ "from sklearn.cross_validation import train_test_split\n", "\n", "\n", "flat_shape = (X.shape[0],) + (X[0].size,)\n", "X_train, X_test, y_train, y_test = train_test_split(X.reshape(flat_shape), y,\n", " test_size=0.2, random_state=3)\n", "print(X_train.shape)\n", "print(X_test.shape)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We will use cross validation with the testing data to fit a number \n", "of models, each with a different number \n", "of components and a different polynomial order.\n", "Then we will use the testing data to verify the best model. \n", "This can be done using [GridSeachCV](http://scikit-learn.org/stable/modules/generated/sklearn.grid_search.GridSearchCV.html) \n", "from sklearn.\n", "\n", "We will pass a dictionary `params_to_tune` with the range of\n", "polynomial order `degree` and components `n_components` we want to try.\n", "A dictionary `fit_params` can be used to pass the `periodic_axes` variable to \n", "calculate periodic 2-point statistics. The argument `cv` can be used to specify \n", "the number of folds used in cross validation and `n_jobs` can be used to specify \n", "the number of jobs that are ran in parallel.\n", "\n", "Let's vary `n_components` from 1 to 11 and `degree` from 1 to 3.\n" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [], "source": [ "from sklearn.grid_search import GridSearchCV\n", "\n", "\n", "params_to_tune = {'degree': np.arange(1, 4), 'n_components': np.arange(2, 12)}\n", "fit_params = {'size': X[0].shape}\n", "gs = GridSearchCV(model, params_to_tune, fit_params=fit_params).fit(X_train, y_train)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The default `score` method for the `MKSHomogenizationModel` is the [R-squared](http://en.wikipedia.org/wiki/Coefficient_of_determination) value. Let's look at the how the mean R-squared values and their \n", "standard deviations change, as we varied the number of `n_components` and `degree`, using\n", "`draw_gridscores_matrix` from `pymks.tools`.\n" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": 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MzMygrq4OCwsLzJ8/Hw8fPmwyljFjxkBJSQlfffWVfB+cJ15jJrt27Srzwbyo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\nJyUlBTk5ORg2bBhq1qyJvLw8REVFwdvbG+vXr8eoUaPEjvhej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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from pymks.tools import draw_gridscores_matrix\n", "\n", "\n", "draw_gridscores_matrix(gs, ['n_components', 'degree'], score_label='R-Squared',\n", " param_labels=['Number of Components', 'Order of Polynomial'])\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "It looks like we get a poor fit, when only the first and second component are used, and when we increase\n", "the polynomial order and the components together. The models have a high standard deviation and \n", "poor R-squared values for both of these cases.\n", "\n", "There seems to be several potential models that use 4 to 11 components, but it's difficult to see which model \n", "is the best. Let's use our test data `X_test` to see which model performs the best.\n" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Order of Polynomial 2\n", "Number of Components 11\n", "R-squared Value True\n" ] } ], "source": [ "print('Order of Polynomial', gs.best_estimator_.degree)\n", "print('Number of Components', gs.best_estimator_.n_components)\n", "print('R-squared Value', np.allclose(gs.score(X_test, y_test), 1, rtol=1e-2))\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For the parameter range that we searched, we have found that a model with 2nd order polynomial \n", "and 11 components had the best R-squared value. Let's look at the same values, using `draw_grid_scores`.\n" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "image/png": 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cnyL+En56t/BH/SWiIYP1WHFgWTLOj8IRXaVQfhQKhUJxpCifhzqA8nlIjGHK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\nrP8dad1+EDJZRQqhVp1ga+MRQW7sncxnR37C0vraCnXOIz/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ddBNjxoxh/vz5XlMoi8XC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\nIBDgn//8J9HR0XTt2jUCUYVX9+7dWbJkC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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from pymks.tools import draw_gridscores\n", "\n", "\n", "gs_deg_1 = [x for x in gs.grid_scores_ \\\n", " if x.parameters['degree'] == 1][1:]\n", "gs_deg_2 = [x for x in gs.grid_scores_ \\\n", " if x.parameters['degree'] == 2][1:]\n", "gs_deg_3 = [x for x in gs.grid_scores_ \\\n", " if x.parameters['degree'] == 3][1:]\n", "\n", "draw_gridscores([gs_deg_1, gs_deg_2, gs_deg_3], 'n_components', \n", " data_labels=['1st Order', '2nd Order', '3rd Order'],\n", " param_label='Number of Components', score_label='R-Squared')\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As we said, a model with a 2rd order polynomial and 11 components will give us the best result. Let's use the\n", "best model from our grid scores.\n" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [], "source": [ "model = gs.best_estimator_\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Prediction using MKSHomogenizationModel\n", "\n", "Now that we have selected values for `n_components` and `degree`, lets fit the model with the data. Again, because\n", "our microstructures are periodic, we need to use the `periodic_axes` argument.\n" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [], "source": [ "model.fit(X, y)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's generate some more data that can be used to try and validate our model's prediction accuracy. We are going to\n", "generate 20 samples of all six different types of microstructures using the same \n", "`make_elastic_stress_random` function.\n" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [], "source": [ "test_sample_size = 20\n", "n_samples = [test_sample_size] * 6\n", "X_new, y_new = make_elastic_stress_random(n_samples=n_samples, size=size, grain_size=grain_size, \n", " elastic_modulus=elastic_modulus, poissons_ratio=poissons_ratio, \n", " macro_strain=macro_strain, seed=1)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now let's predict the stress values for the new microstructures. \n" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [], "source": [ "y_predict = model.predict(X_new)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can look to see, if the low-dimensional representation of the \n", "new data is similar to the low-dimensional representation of the data \n", "we used to fit the model using `draw_components_scatter` from `pymks.tools`.\n" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "image/png": 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i5sLb21uhDPPnzy/y+pfXCezFbSMzM5MZGRkxjuOYkZERy8jIkCoTHh7OGjRo\nUOT6EQgE7NChQxJ1xSewCwQCtmrVKrZ06VK586Ovr8+uX78uU87Cp2nHx8cXax7++ecfZmNjU6y1\nt3r1aom64tPBFY1XS0uL/f7773L7X758OVNTUyuyHT09PZabm1uq8T5+/JgvJ0sWkUjEunTpIlMG\nVVVVibI//PCDwvW7aNGiIuVKS0tjjRs3ltnG56fAKzqBnTHGsrKy2LBhwxTK1LBhQxYVFSWzfnnN\nIUEQtQPapqVEuBLE4ZflH7FgwQLcvXsXU6ZMgZWVFbS0tKCjowNra2vMnj0b//zzD0aPHl2kHL16\n9eL7cXR0lFnGwcGBL6OiosKfnlze41dRUUHdunXRsGFD9OzZE7Nnz8bx48fx6tUrfP/992X2ExH3\nU1nlJk2ahKdPn2LFihXo3r07jIyMIBQKoaOjg+bNm8PV1RU7d+7Eq1evZDqvFlcOefj4+ODgwYOY\nOHEiOnXqBAsLC6irq0NLSwvNmzfHuHHjcOXKFX77XUnR19dHWFgY9u/fj379+sHU1BRqamqoV68e\nHB0dsX37dty9e5c/50QW5THXS5cuxdmzZ+Hi4gIDAwOoq6ujQYMGcHV1RVBQENauXVusvso634XX\nclFoamrCy8sLHMfh/fv32LFjh1SZrl274vHjx9ixYwcGDhyI+vXrQ11dHZqamrC0tES/fv3w008/\n4d9//+UjpcnD29sbZ8+exYABA2BiYgJ1dXU0btwYM2bMQHR0NOzs7IocV3Fp3rw5IiMjcfDgQQwf\nPhyWlpbQ1NSEuro6zM3N4eTkhKVLlyIiIoL3nxFz5coV+Pj4YMSIEWjdujWMjY0hFApRp04ddOjQ\nAfPnz8fDhw8Vnuz9ww8/IDY2FvPmzePP1FFVVYWenh5sbW0xduxYHDhwAAkJCVBVld4gUB5rUiAQ\nIDg4GIsWLUKbNm2gq6sLgUAg8/t8+fLlOH36NPr06QN9fX1+/X711VcICQnBqlWriuxPR0cHN27c\nwMyZM9GyZUtoa2sXuR7lpWtoaODkyZMICAjAsGHDYG5uDjU1NRgYGMDOzg5r167Fw4cPYWNjU6q5\nKU05giBqLhxjlRCwnCAIgqhUxOFiOY7Djz/+iEWLFilbJIIgCIKQgiwjBPz9/ZUtQoVBY6u+1OTx\n0diqJzV5bEDNHx9BEFUTUkaIGv0DRGOrvtTk8dHYqic1eWxAzR8fQRBVE1JGCIIgCIIgCIJQCqSM\nEARBEATALVGIAAAgAElEQVRBEAShFEgZIQiCqMFQpCKCIAiiKkOHHhIyQ8rWFGhs1ZeaPL7KGJuK\nigry8/MrvJ/PoetWfanp4yMIompCoX0JgiAIgqiViEQipSjtBFEbEAgEUFFRKbIcWUYqgQ8fPiAv\nL0/ZYshFT08PHz9+VLYYFQKNrfpSk8dHY6ue1OSxAVVvfKqqqtDX16/QPvLz85GUlFShfRBEbcXI\nyIiUkapCXl4ecnNzlS2GXBhjVVq+skBjq77U5PHR2KonNXlsQM0fH0EQVZMa6cD+6dMnfP/996hf\nvz60tLTQtWtXBAcHF6vunTt3MGjQIJiZmUFXVxdt2rTB1q1byYxLEARBEARBEOVMjVRGxo0bBx8f\nH4wdOxZbtmyBqqoqBgwYgOvXryusFxERAXt7e7x48QILFizAxo0b8cUXX2DWrFmYO3duJUlPEARB\nEARBELWDGufAfuvWLXTt2hUbNmyAl5cXACAnJwe2trYwMTHB1atX5db18PDAgQMHkJiYiDp16vDp\nDg4OuH//Pj58+FAqmZKSkqq06dvAwADJycnKFqNCoLFVX2ry+Ghs1ZOaPDag6o1PKBTCyMioQvvI\nzc0lnxGCqCCMjIwgFAqLLFfjLCPHjh2DqqoqpkyZwqepq6tj0qRJCA8PR3x8vNy6aWlp0NDQkFBE\nAMDU1BSampoVJjNBEARBEARB1EZqnDJy7949NGvWDDo6OhLpnTt35vPl4eDggI8fP8LDwwP//PMP\nXrx4gZ07dyIgIACLFi2qULkJgiAIgiAIorZR46JpJSQkwMzMTCrdzMwMjDG8fv1abt0pU6YgOjoa\nu3btwp49ewAUhBbctm0bPDw8KkxmgiAIgiAIZWFhYVGi8g0aNEB4eHgFSQP0798fkZGRiIyMLHN4\n5/Jsq7yxtbVFSkoK/38VFRXo6urCyMgItra2cHZ2xsCBA4u11ak6U+OUkaysLKirq0ula2ho8Pny\nEAgE+OKLL9CvXz+4ublBXV0d/v7+mDFjBkxNTTFkyJAKk5sgCIIglAFjDBzHKVsMQom4ublJpd26\ndQtxcXGwtraGjY2NRJ6hoWGFysNxHASC8tm8U55tlTccx4HjOAwdOhRqampgjCEtLQ1xcXE4ffo0\nTp48iZUrV2Lz5s2wt7cvc3/BwcEYP348JkyYgB9//LEcRlA+1DhlRFNTEzk5OVLp2dnZfL481qxZ\ng61bt+LRo0fQ0tICALi6usLJyQmenp4YNGhQlV3QBEEQBFFc0tPTsdNnA+6EhUJbhSFDxMHepR/G\nT/OU2uZM1Hw2btwolebl5YW4uDj069ePDwhUWfz666/Izs5G3bp1q1RbFcWPP/4oZbVJTEzExo0b\ncejQIYwdOxb+/v7o0qWLkiSsWGqcMmJmZiZzK1ZCQgIAwNzcXG7dHTt2wMnJiVdExAwZMgRz587F\n8+fP0aRJE5l1/f394e/vL5HWpEkT+Pj4QE9PD1U5aJlQKISBgYGyxagQaGzVl5o8Phpb9aSmjC0t\nLQ3fjPkaM80Bb0cLcBwHxhiCn17FN2Ou4PDZC9DV1VW2mLy1Zvbs2Xj69KlEnru7O9zd3ZUhFlEJ\n1K9fv0q2VZmYmppi3bp10NfXx/bt2zFnzhxcvXq1TFbMqvosWuOUkbZt2yI0NBTp6ekSb3du3LgB\njuPQtm1buXXfvHkDkUgklS4Oy5uXlye3rqIvxo8fP1JoXyVBY6u+1OTx0diqJzVlbD+vXIEZZkAf\ny/8UK47j0MdSH/lIxprlSzF38TIlSliAOLSvj4+PskWRQhlb26ridrrC236++eYbrF27FlevXkVS\nUhLWrVuHr7/+Gq9fv8axY8cQGhqKuLg4JCcnQ19fH507d8a3334La2trqXZl+XlkZmaiWbNmaNGi\nBc6fP4+tW7fi2LFjSEhIgLGxMUaMGIE5c+ZARUWlwtoCgPv372P9+vW4c+cOAKBVq1aYO3cu0tLS\nKmQL1HfffYejR4/ixYsXCAoKgouLC5937do1nD59Grdv30ZCQgI+ffoES0tL9O/fH56enhIv1z08\nPHDu3DlwHId9+/Zh3759fN7SpUsxdepUAMBff/2F8+fP4969e0hMTARjDE2aNMGwYcMwefJkqKqW\nv+pQ4/Ycubq6Ii8vD7t37+bTPn36BF9fX3Tt2pXXkBMTExEbGyuhfDRr1gxBQUES54nk5+fjyJEj\n0NXVxRdffFF5AyEIgiCICuBOWCj6WMp25HVpoI87YZcqWaLqQXp6On5Y7Q37QU6wG94b9oOc8MNq\nb6Snp9eoPktDQkICf7h0ly5d4OjoyPvvnj59GuvXr0dqaipsbW3Rr18/1KtXD2fPnsXgwYPx999/\nS7Un9qWQRX5+PiZPnoxff/0VLVq0QM+ePZGSkoLNmzdjyZIlFdrW1atXMXz4cFy+fBmNGjWCs7Mz\n0tLSMHLkSISGhpZgxoqPUChEv379ABQoH4VZtmwZTp48CW1tbfTq1Qv29vb48OEDNm/ejK+++gqf\nPn3iy9rb26NHjx5gjKFp06Zwc3Pj/1q0aMGXmzVrFoKDg2FoaAhnZ2d07twZL1++xMqVKyWOzShP\napxlpHPnzvjqq6+wcOFCvHnzBlZWVvD19UVcXJyEFrhgwQLs378fz58/h6WlJZ82duxYdO7cGR4e\nHtDU1MShQ4dw9+5drFq1SqaGTBAEQRDVBcYYtFXkv2HnOA5aAlYl38Irk/T0dAwb64akLtoQerQA\nx3HIYwwBMZG4NtYNAQeOlruvjTL6LC0XLlzA8OHDsWHDBqk35z169MDly5eltrkHBgZiypQpWLx4\nMQIDA4vd16NHj6Curo7r16/zfiBPnz5F37594e/vjzlz5hT7sMyStJWbmwsvLy98+vQJP/74I8aP\nH8+3s3fvXixbtqzC7hkbGxswxvD48WOJ9EWLFsHOzk7CApKTk4P58+fjxIkT8PPz4xWIcePGoX79\n+rhy5Qq6d+8u13qzdetWODk5SUTwSktLw5QpUxAcHIzz58/zylF5UeMsIwBw4MABzJ49GwcPHsSs\nWbMgEolw9uxZiUgEsqIrjBo1CufPn0eDBg3w888/Y968ecjMzMSuXbuwYMGCyh4GQRAEQZQrHMch\nQ8TJ3TvOWIEzOykikqzfuhFJXbShZmPMzw3HcVCzMUZSF22s37apRvRZWrS0tLBixQqZW3hsbGxk\n+tu6uLigd+/eePjwIV69elWi/lavXi3hkN6kSRMMHjwYIpFIpqWlPNq6ePEiEhISYGNjI6GIAMDE\niROlIo6VJ2JftdTUVIl0Z2dnKT9ndXV1eHt7gzGGCxculLivvn37SoUS1tXVxdKlS0vdZlHUOMsI\nAKipqWHt2rVYu3at3DKf75cT06dPH/Tp06cixSMIgiCIYlPeVooOPR0Q9PI2XGRs1Qp8+QEdezmW\nqt2abE0JvhYKoUcLmXlCayOE/BqKFVha7fssLR07dlQYrSo7OxsXL17E/fv38eHDB96P9tmzZwAK\nrBHFPetEV1dXpv+vWOF5+/ZtseUuSVt///03OI7DwIEDZbY1ePBgREdHF7vvkqDI8Tw+Ph5BQUF4\n+vQpMjIykJ+fD8YY1NTU+PktKY8fP8bFixfx4sULZGZmgjHG+02Xtk1F1EhlhCAIgiCqM7JC73bo\n6YBps+eWeWvOtNlz4eHuCoZkuDTQ56NpBb38gC0vRdi9bk6VkLOqwBiDSCjfWsRxHPKE5auMKaPP\nsqAoYtX9+/cxadIkJCYmypU1IyOj2H2ZmprKTNfR0QFjTObxDuXR1ps3bwDIj8pakVG7xIEzPg//\n6+PjAx8fH5nBlxhjJZpXcZ1FixbhwIEDcq9VRfgr1chtWgRBEAShDEoSOlNe2fT0dHi4u6JH/N84\n62iBP3pZ4qyjBXq8vg0Pd9cyPwzo6Ohgt/8xXKvfGYNCX+Gryy8wKPQVbn/RE7v9/yi2ElHRclYV\nOI6DSi5TuLVN5VP5KgXK6LMsyDpsGihwEPfw8MCbN28wdepUBAcH499//8XLly/x8uVLTJgwAUDJ\n7pvyPO+tupwdFxUVBY7j0LRpUz7typUr+Pnnn1GnTh1s27YNt27dwrNnz/i5FStUJcHf3x8HDhxA\no0aNsHfvXty9exfPnz/Hy5cvERkZWd7D4iHLCEEQBEGUgZJYB4pTdqfPBsyyUIVLQ8nQuy6W+mBI\nxq7NG8sceldHR6egjcXL+LfrJQ1dXBlyVhV62zsgICYSajbGUnm5MUkY2L10W9uqWp/lTWRkJOLj\n42Fvb4+lS6W3lMXFxSlBqtJhYmICADLPslOUXlZyc3N5P41u3brx6efPnwfHcVi2bBmGDh0qUSc5\nORnp6enQ1tYuUV/iNjdu3IjOnTtL5L148aKUIyia6qESEgRBEEQVpLjWAcZYsctWdujd0r5dr00h\ngufNnAOjmxn4FP2Wf9vMGMOn6LcwupmBeTPK/4RyZfRZ3ogdrmVth3r37h1u3LhR2SKVmk6dOoEx\nhnPnzsnMP3PmTIVYqtatW4d3796hcePGcHZ25tMVze3p06dltqWmpgZA/rl5pWmzPCBlhCAIgiBK\nSWHrQOGIRy6W+phiymHq6JFwd3HElAGOcHPujvqZ72BnpidV9tsGqti1eWOJQu8CyjtRuaRyVnd0\ndHQQcOAohqE1NH6Nhcq+f6DxayyGoXWFhdhVRp/ljdgRPDQ0FPHx8Xx6ZmYmvvvuO2RmZpZrf+W9\nVa4wTk5OMDc3R1RUFHx9fSXy9u3bh6ioqHLrGyg4D2/evHnYsWMH1NXVsWnTJgmZmjRpAsYY/P39\nkZ+fz6dHRUVhw4YNMtsUW3eePHkiM1/c5sGDByXSw8LCsG/fvgrbFkjbtAiCIAiilNwJC4W3o3QU\noLRPedgb+RIz21jCpZEFOI5Dfr4Fgl8kY/S5SPw+oBV01f77CXZpoI8toZfALV7Gh96V9cPPGEN6\nHsOGVd5KdRovHCJYnpw1LUSwjo4OVixYihVYWmmO48roszBlVSYtLCwwbNgwnDp1Co6OjrC3t4dQ\nKMTNmzehqqqKYcOG4eTJk+Ukbfkq55+3JRQKsWnTJvzvf//DkiVLcPToUTRp0gRPnjxBTEwMxo0b\nBz8/P6mwuMVhyZIlUFNT453Onz9/jtjYWDDGYGFhgc2bN6NDhw4SdUaPHo19+/bh1KlTuHfvHlq3\nbo13797h5s2bcHV1RWBgoMShh0DB4d4NGzZEeHg4hg4dii+++AIqKioYPHgwevbsiSlTpuD06dP4\n5ZdfcPHiRTRv3hzx8fG4c+cOpk2bhh07dpR8IosBWUYIgiAIohQosg5sjniBme0aolv9ulh18xkG\nnYyA+7lIbLn7Aqbaalh/+7lE+cKWhILQuyky+wx8+QHvP6ZVmNN4SR7mipKztCGCqwPKULKqap+K\nTjgHgM2bN2PBggX8gXt37txBnz598Ndff8HY2Fihda2k8lR0W/b29jh58iQcHR3x7NkzhISEQFdX\nF0eOHEHLli0BSEe8Kg6nT5/GsWPHEBAQgPDwcIhEIgwbNgzbtm3D1atX0aVLF6k6JiYmOH/+PAYN\nGoSsrCwEBQUhOTkZy5Yt4y0jn4+B4zj4+fnB2dkZT548wbFjx3D48GE8fPgQAGBtbY2zZ8/CyckJ\nSUlJCA4ORl5eHjZv3gwvr4rbFsixmmJDrcIkJSXxMbWrIiV1WqxO0NiqLzV5fDS24lFVwpaKkTU2\ndxdHnHW0kJJz0MkIHBrQCmP+isLMdpbobWnwXwjduPeYF/Yvrn7dmbeOMMYw8NIr+Ade4n1Lvm2g\nKhF6N/DlByy7k4BFrY0x9AvpE6YvvEjGtfqdS+w0Lnaqv3stDJoQFdvSokjOLS9FJYrMJQuhUFjs\nk7RLS25uLpKSkiq0D6J2MHPmTAQEBMDPzw9OTk7KFqdKYGRkVCxLEVlGCIIgiCpDeno6fl65gvez\ncHdxxM8rV1TZMLGyrAOMMWgLVbDl7kvMbGeJPg0NJX1EGtXDmh7NsCXiv0hChS0J8kLvXqvfGXV0\ndDCkST2ZspTGabywU/2ZnuYlsrQokrOsighBVEXev38vM2rWkSNHEBAQAGNjY/Ts2VMJklVvyGeE\nIAiCqBKIH4xnWajC+/+tDQWH8RU8GO/2P1blHnBlHSAIAO+ycnEjIQWLuzSWWa9fI0P8cv8lGGO4\n8CIZW1/lSxw2KCv0LmMMU65eLJbTeHEtSmUNzytLToKoqcTExGDUqFGwtraGpaUl8vPzERsbi+fP\nn0NNTQ3r1q2Dqio9WpcUsowQBEEQVQJFkanE0aaqGvKsAxr1G0FFoPgE7fRcETr5/w2fB4nIz87E\nTp8NMi0RhedC7DQui9I4jZdneF5SRIiajpWVFcaMGYOcnBxcv34dly5dQnZ2NoYOHYrTp09LhN4l\nig+pbwRBEESVQF5kKuC/aFOogofoybIOpKenY1j3TgqjTQkA/O3eqUQWoIJtYbfhIkOBKKnTeEnC\n85KiQRCAmZkZVq9erWwxahxkGSEIgiCUTk05t0Isv46ODpyHjkBgnGxn/gtx7+FkWXIL0LTZc7H5\nZS4uvEiWOGvkwotkbHkpwtRZc+TWlSVreVtaCIIgSgopIwRBEITSqUkPxmIn/IirV7Dg2hP89eyd\nhOLw17N3+OXeC3zbzlKqblFbo8rbabw2h+clCKJqQNu0CIIgiCpBeW5BUhYSTvi9LZGeWx9bIuKw\n4c5zMIEK1Ooa4uOHZJwf3Fri0EMxxdkaVZ5O47Ic8CXC864rvqWFIAiiNJBlhCAIgqgSlOcWpPKk\nJFvDPnfC11VTxeKuXyDYtSPmdbBEp15OqKNvCB2hity+SmIBKqulqLClZciVBArPSxBEpUOWEYIg\nCKJKIH4w3rV5I7aEXoKWgCEzn0OHno7YvW5OpT4Yiw8CvBMWCm2VAgXB3qUfxk/zVCiHIif8vpYG\n2Bp6qcpZgMSWFgMDA7x//75abIUjCKLmQMoIQRAEUWWoCudWyDvvJPjpVXi4X5Ib7aq4TvhTZ83B\n1FFfVcmtUaSIEARR2dA2LYIgCKJKoqwH452bZJ930qeIaFfFdcLX1dWlk8sJgiD+H7KMEARBELWe\n9PR0rN+6EcHXQiF8lQDvkR1llivqvJPibsGqChYggiCIqgBZRgiCIIhaTXp6OoaNdUMAF4nsKc2h\nV1e91OedlMYJv7IVkap+VgtBELULsowQBEEQtZr1WzciqYs21GyMAQCponyFJ6crinZVlZzwCyPL\nIb9DTwdMmz2XtoURBKFUSBkhCIIgajXB10Ih9GjB/z+zmSHOv0hG/4aGUmWLE+2qqm3BkueQH/Ty\nNjzcXeU65BO1BwsL2RHg5NGgQQOEh4dXkDTlw5QpU/DXX3/x/+c4Djo6Oqhbty5atmyJrl27wtXV\nFQYGBkqUkgBIGSEIgiBqMYwxiISSlo78fk0xZ/tNMMbQv6FhoYf3kke7UrYiAkiefSKG4zi4WOqD\nIRm7Nm8sUJ6IWoubm5tU2q1btxAXFwdra2vY2NhI5BkaSivqFYG3tzd2796N3bt3Y8CAASWqy3EF\n97WdnR2vbGVmZiIxMRFhYWEIDAzE2rVrsXjxYkycOLHMsmZmZqJZs2Zo0aIFgoODy9xebYKUEYIg\nCKLWwnEcVHIZ8gpZMAQaQuR6dsHs84+w+Nx91MnOh7aBEexd+mP3uunVzoqg6OyTohzyidrBxo3S\nEeK8vLwQFxeHfv36wcvLSwlS/adQlIXx48dLKTJZWVnYv38/1q1bh2XLliEzMxMzZswoUz9E6SEH\ndoIgCKJW09veAbkxSRJpAg0hMMwaHwY2R5vhbjh04RKWrlpT7RSR4p59Qk7tJUMZ81Ubr1FFjVlT\nUxNTp07Fr7/+Co7jsH79ejx//rxMbdbG61NekGWEIAiCqNXMmzkH18a6IQlvIbQ24rdl5cYkwehm\nBuYfUN4hhGWl8NknpXHIJ/5DGUEAqkvggYcPH+KXX35BeHg43r9/D319fdjb28PLywtNmjSRKn/+\n/Hn89ttvePLkCVJTU6Gvr49GjRrByckJ06dPBwDY2toiJSUFHMfBw8NDov5ff/2FVq1alVluJycn\n9O3bFxcuXICvry+WL1/O5z1+/BjHjx/HlStX8OrVK3z8+BH16tVDjx49MHv2bDRo0IAv6+vriyVL\nloDjOPzzzz8SPji9e/eGr68vAOD+/fs4efIkwsPDER8fj6ysLJiamsLZ2RmzZs2qtO1vVY0aaRn5\n9OkTvv/+e9SvXx9aWlro2rVrifbvBQcHw9nZGXXr1oWenh46duyIP/74owIlJgiCIJSFjo4OAg4c\nxTC0hsavsVDZ9w80fo3FMLRGwIGjVeqhrzQUnH2SIjOvOA75xH9BAHrE/42zjhb4o5clzjpaoMfr\ngiAA6enpNaLP0hAQEIABAwYgICAAJiYm6NevH8zNzREQEICBAwfi/v37EuW3b9+OyZMn486dO2ja\ntCkGDBiApk2b4tmzZ9i8eTNfbvjw4WjRoiCwRLdu3eDm5gY3NzeMHDmyXJ3OhwwZAsYYrl+/LpHu\n6+uLX375Bbm5uWjfvj169+4NTU1NHDlyBP369cOzZ8/4slZWVhg+fDgYY6hTpw4vq5ubG3r06MGX\n27hxI/bv3w+hUAg7Ozs4ODhAJBJh7969GDRoED58+FBu46pO1EjLyLhx43DixAl4eXnBysoKvr6+\nGDBgAEJDQ9GtWzeFdfft24fJkyfDxcUFq1evhoqKCmJjY/Hy5ctKkp4gCIKobHR0dLBiwVKswNIq\nEQGrPJk2ey483F3BkAyXBvq85SewFA75tRVlBAGoDoEHHj9+jLlz50JbWxv79u1Dp06d+LwLFy5g\nypQp+Pbbb3H58mU+fceOHRAKhbhw4QKaNm0q0d7Nmzf5z97e3vjxxx8RGxsr0++jvBA75z9+/Fgi\nfejQofD09ISZmZlEutgK8uOPP2Lv3r0AgO7du6N9+/Y4ceIEzMzMZPrgAAURvnx8fKCv/9+hqPn5\n+Vi7di1++eUXbNq0Cd7e3uU5vGpBjbOM3Lp1C0eOHMGaNWuwZs0aTJ48GSEhIWjYsCHmz5+vsG5c\nXBxmzJiBWbNm4a+//sI333wDDw8PbNiwAXPm0Jc1QRBEbaAmKSLAf2efXKvfGYNCX+Gryy8wKPQV\nrtXvjN3+f1R7y09lcCcsFH0s9WXmuTTQx52wSzWiz5Kyc+dOfPr0CcuXL5dQRACgb9++cHNzw9On\nT3HlyhUAgEgkwsePH2FkZCSliABAly5dKkXuwoitLLm5ucjKyuLTO3XqJKWIAAUO8dbW1ggNDUVu\nbm6J+urevbuEIgIAAoEACxcuhJ6eHgIDA0sxgupPjbOMHDt2DKqqqpgyZQqfpq6ujkmTJmHx4sWI\nj49H/fr1ZdbdsWMH8vPzsWLFCgBARkYGtLW1K0VugiCIqkBNswoQBVS1s0+qEyUJAlBe86qMPktD\nWFgYBAIB+vbtKzO/U6dOOHz4MO7du4cePXpARUUFLVu2RExMDBYvXowJEybAysqqkqWWpLDj+edz\nmZaWhqCgIMTExCA1NRV5eXkAgNTUVOTm5uLVq1do3Lhxifp7//49AgMDERsbi/T0dIhEIv46xsfH\nIzc3F0KhsOwDq0bUOGXk3r17aNasmdSbns6dO/P58pSRkJAQtGjRAmfPnsW8efMQHx8PfX19eHp6\nYsWKFfTlTRBEjUL8A5ieno51WzYg5PpliIQFoW572ztg3kzlnRhOVBz0W1YylBEEoDoEHsjPz0dC\nQgIAoGXLlnLLcRyH5ORk/v/r1q3DlClTsH//fvj5+cHExAR2dnYYOHAg+vXrV+ljEsumpqYGDQ0N\nPj0kJATffvstUlNT5cqUkZFRor4OHz6MJUuWICcnRypPfK0zMjJQt27dErVb3alxykhCQoJMs5qZ\nmRkYY3j9+rXcuo8ePYKKigomTpyI77//Hq1bt8aJEyewcuVKiEQirFq1qiJFJwiCqHAKR+fR4vIR\n/yEV8RnpYF/ZQsOjBTiOQx5jCIiJxLWxbjXCgZsgykpBEIDbcJGxbaqiggAoo8+SkJ+fD8YYhEIh\nvvzyS4VlW7duzX9u06YNwsLCcPHiRVy6dAnXr1/HqVOnEBAQgO7du8Pf379SFZLo6GgAQLNmzfi0\nlJQUeHp6IisrCwsXLkT//v1hbm7OKysTJkxAcHBwicL5Pn78GN9//z3U1NSwZs0a9OzZEyYmJlBT\nUwNQEHUrNja2VoYIrnHKSFZWFtTV1aXSxQuo8H7Az0lPTwdjDGvXrsV3330HAPjyyy/x/v17bN68\nGYsWLaJtWwRBVCrluQ1DHJ1nloUqvB0teEfm83HvMSf0GXJtjMFpCMFxHNRsjJGEt1i/bRNWLFha\nLv0TRHVFGUEAqnrgAVVVVRgZGeH9+/dYvXq1zGcveWhoaGDAgAG8U3pMTAy++eYbXLt2DSdOnMCI\nESMqSmwpTp06BY7jYG9vz6ddvXoV6enp+Prrr+Hp6SlV58WLFyXuJzg4GPn5+fD09MTo0aOl8mtz\noKQa58Cuqakp0/yVnZ3N5yuqCwBff/21RLq7uzuysrJw9+7dcpSUIAhCNunp6fhhtTfsBznBbnhv\n2A9ywg+rvcscyrNwdB6xgsNxHPo3qocNLepDcP6RRHmhtRFCroWWqc/iUhvfBhLVB2UEAagOgQd6\n9OgBxhguXLhQpnasra0xevRoMMYQGxvLp4t9J8S+GuVNSEgIgoKCoKKignHjxvHpqampAABTU1Op\nOg8fPsSjR4+k0ouSNSWlILy2rN07ISEhJd7yVZOocZYRMzMzmVuxxPsazc3N5dY1NzfH48ePYWJi\nIpFubGwMxpjC+M/+/v7w9/eXSGvSpAl8fHygp6dXpX9ohUJhucbsrkrQ2KovVXV85WGpUDS2tLQ0\njBjvjsSOGhAW2jZ1KiYKN8a74+Kp89DV1S1Vv3evhcG7p+zvwP4NDbH43H0U/jnkOA75agLo6+sX\ne/98iNEAACAASURBVMwluW5paWnYtHolwkMCoS1gyMjnYOfsAq+FS0o9xoqkqq7J8qKqjU+85mbP\nno2nT59K5Lm7u8Pd3b1S5VFGEICqHnjA09MTf/75J5YsWQJtbW04OztL5GdnZ+PChQvo0aMHDAwM\nkJKSgjNnzuDLL7+UUKZEIhEuX74MjuMkntNMTU3BGMOTJ0/KVe6srCz4+flh/fr1AICFCxdKHGIo\nPqjxzJkzmDJlCurUqQOgwL9k3rx5Mp/phEIh9PX18fr1a2RnZ0v4n4jbZIzhjz/+wLBhw3hL0osX\nL7Bs2bIqd20rkxqnjLRt2xahoaFIT0+XWOg3btwAx3Fo27at3LodOnTA48ePER8fj0aNGvHp8fHx\n4DgORkZGcusq+mL8+PFjicO/VSYGBgYSzmU1CRpb9aUqjS89PR3rt25E8LXQcnHwlje2/Px8rFi7\nEokdNaBmY8yncxwHoY0REvEWi35cVqptU4wxaEKkMDqPnqoA6YUeeBhj4HJEJTqIq7jXrfCWsUU9\nzfktKEFPr+Krfs7Y7X+sSrz5LUxVWpMVQVUbn1AohJGREXx8fJQtihTKeHBURp9FvUht3rw5fHx8\n4OXlhXHjxuGLL76AlZUVNDQ08Pr1a0RGRiInJwdXr16FgYEB74OxfPlytGrVChYWFsjJyUFERATe\nvn0LKysruLm58e07OjpCKBRi8+bNuHfvHoyNC74XZ8+eLTcY0efy79u3D0FBQQAKlJDExEReLk1N\nTaxcuVLCKgIAdnZ26NixI+7cuYPu3buja9euEIlECA8PR/369eHg4IDQ0FCp/lxcXHD06FH07t0b\n7du3h7q6OqytrTFhwgQMHjwYmzdvxs2bN2Fvb48OHTogMzMT169fR+fOnaGjo4OYmJgix1QTqXHb\ntFxdXZGXl4fdu3fzaZ8+fYKvry+6du3KL97ExETExsZCJBLx5UaOHAnGGH777Tc+TbyQDQwM0KFD\nh8obCEEQVYL09HQMG+uGAC4SOR4tIJrYAjkeLRDARWLYWLcyb51KTExE3+GD0KSzNZo6toPvsd/x\nMfgR8lKk/dtKum1K/CDBR2n5/+g88sqk5uVLPPDkxiShd3f5TrJlsfjK2zLmYqmPbxuoYtdm2YeG\nlbVfgiCKT3EUoCFDhiAoKAhjxoyBSCRCaGgoLl26hJSUFAwcOBC//fYbb3UwNDTEypUr4ejoiKSk\nJFy4cAHh4eEwMjLCwoULcebMGWhpafFtN2zYELt370abNm1w48YNHD58GIcPHy620sxxHG7cuIFj\nx47h+PHjuHz5Mt6+fQsHBwesWLECf//9t5QiIsbf3x/Tpk1DnTp1cPHiRTx8+BAjR45EQECA3C3/\nK1aswOjRo5GTk4PTp0/j8OHD/IGPmpqaOHPmDNzd3aGqqorg4GDExcXB09MT+/fvh4qKSq21jnCs\nBn6rixfL7Nmz+RPYb9++jYsXL/IOSuPHj8f+/fvx/PlzWFpa8nX79OmDS5cuYfLkyWjTpg1OnjyJ\nkJAQ7N69G5MmTSqVPElJSWQZURI0tupLVRnfD6u9EcBFSlgqxHyKfothaF1iS4V4bImJieg+0Bka\nri2gYWPCWweyo9/g49FIGM7pDtW6kj96Kvv+QfjxYLk/WmIrTmDYRYhSUqCVlQNjHS0INHUg0NTB\nLAsOdqZ62BzxAjcSUqAtVEFGrgimOuoItdCBwNUWjDF8inoL478zpaJpFY7Gpa1SEF60Q08HTJs9\nFzo6OsW+bu4ujjj7/070n8MYw6DQVzh04b9D3YrqtzKoKmuyoqhq4xNbRiqS3NxcJCUlVWgfBFFb\nMTIyKtaZKTVumxYAHDhwAEuXLsXBgwfx4cMHtG7dGmfPnpWIlMBxHAQCacPQqVOnsGTJEhw5cgR+\nfn5o3rw5fv/9dymndoIgagfB10Ih9GghM09obYSQX0OxAqWLNjVu+mRouLaApu1/TpIcxxX8nwEp\nfhGoN+u/7y3GGFQ+yd83LrbivGmnAa3MD9jc1gJ9LQ14Jef003eYe+UZjNQ4LOjUGIu7NP4votbz\nd7h87RHevUiBIFOEkQOHY9GB+VKKiKxoXEEvb8PD3RW7/Y8Vy+egpAe6FaffqraliyAIgigeNW6b\nFlBwcM3atWsRHx+PzMxM3LhxA71795Yos2/fPuTl5UlYRQBAS0sLGzduRHx8PLKysnDv3j1SRAii\nlsIYg0go/2AxjuOQJyz9tqFHr55Cw8ZEZp6GrQnyU7Ml0oraNrV+60YkddGGRtwH+FhboF9DQ4kt\nUEO/MEKnelr4vlNjuDSqJxlRq7ERNts3Q8c6FrgfcgM/LfOWesAvy9aqwsjbMibm8wPdyqtfgiAI\noupRI5URgiCI8oDjCpzVFT00K7JUKCI/Px+cplChosNpCvmDxT5Fv4XRzQzMm+Elt83ga6EQWhtB\n69/36Gsp20LxNvMTXBoayszr38gQwqxMuVaGO2Gh6CPjADYAcGmgjzthl2TmyaLgQLcUmXmfH+hW\nnv0SBEEQVQtSRgiCIBTQ294BuTGy95QXZalQhEAgAMvKVajosIxPEPr9C41fYzEMrRWehi624gBA\nHRWBXF8MbaF8J8nC26Nk1i3m1qriMG32XGx+mYsLL5IlnOgvvEjGlpciTJ01p0L6JQiCIKoWNdJn\nhCAIoryYN3MOro11QxLeQmhtxPsr5MYkFVgqDsi3VBRFU4smiI9+I+EzIiY76g1aNGqK88fOFMvy\nIrbi5AFIFeXLPJOA4zhk5Irknlfw+fYoqbr/v7WqpHVlIT7QbdfmjdgSeglaAobMfA4dejpi97r/\nQiaXd78EQRBE1YKUEYIgCAXo6Ogg4MBRrN+2CSG/hiJPCKjmAgPtHTDvgBe0tbVL3bbfL3vQfaAz\nwAp8RPhoWlFv/o+9Mw+Pqjz/931mn2QSkgkJAUG2gEACdWMRkB1cABeKa2uxtkJtrSx1qwsWakWh\nKqitBfvrV0WLKLLIIpoEkE0BsWoWtgRBBDJZJiGZyezn/P6YzDCTWRKQJeB7XxfXRebMOec9c84k\nz/O+z/P54PxwL2+tzT+lIHvUoGGsLC6gvnsa67+3ckOUcqx2JgOfHrZyXafIbY3LoxrjL636kjFR\nSqaa2jcazTV0O9PnFQgEAkHL4aKU9m1pCGnf84e4tguXlnp9iqJgt9uDJoheDWi8nJIJYui1lZWV\nMekPv+XAke+QjBoUh5duHTrz1j/+TWZm5IpJPMLUtPJLeannJdzQ0MSuKAqfHqnmpUNuVMC0TjrG\ndEgN2/bKER+LlnwQ8xoCqlYPddDE3PfSSy894/etOec9F2paLfWZPFO0tOsT0r4CwYVNc6V9RTJy\nDhDJyPlDXNuFS0u9PpvNxvi7f84R7Ql81Q5Ueg2yy4s61UgHTytW//fDJgPjeA7s0STHT3V88157\nmdzN+Xira0h0uEg3JaBOSOLqoSOCvRgLF7zE7s3h5VFTpjadTNlstrj7nq371tR5zwUt9Zk8U7S0\n6xPJiEBwYSOSkRaESEbOH+LaLlxa6vX9edZTLMldSdK4Huh7ZQRn6V3F5dSt2ctdY25lzsy/xj3G\nubq2QOlTvBKoeNuae/xQzsW1/Zgx/xha6jN5pmhp1yeSEYHgwqa5yYhQ0xIIBIJTYNX6NZjGXhZ0\nTAd/k7Uhuw2mGy9j1fo153mEJwkdX1Pv+THHP9eIZnWBQCC4eBDJiEAgEDQTRVFw+txxjQqdPreQ\nmRUIBAKBoJkINS2BQCA4BSRDE0aFev+v1fNVSiQ4f4h7fuGhUqnOeimYQPBTpbk9kCIZEQgEFxzn\nK+iTJAmDoonreSE5fQwePxKf1u/7MWrQMB5+cDpJSUnnfLyCs4/NZgsqq4Xe8+YqqwnOL2q1GrVa\nfb6HIRD8pBHJiEAguCA4H0FftKTj5lE3srqwGEPvKEaFBWXQwYRrUg8Ul5fqT0t4e90HvLv+Q9JN\nZsYMHs4jf5yB2Ww+K+MVnFsCUsoV/RPRTu6BJEl4FYWVxQVsu+d2Vi5+XyQkAoFA0ARCTescINS0\nzh/i2i5cQq8vLOiL4oJ+JoO+ppIem83GTb+YSGV/E7qcEDWtQgt16/aRNnUgANULd5I4KitMcSsw\n3s/W5Lbo3wk/hov5uWx8bc/Mmc1KqQBddkbEe91F5dxCH2Y9/vS5HOKPoqXdu3OhpiUQCM4/ooFd\nIBCcU05n/mPeqy9R0T8RXXZGmEKULjuDiv6JzHvt5R81JlmWgZNJz0qpANfkHvju64Frcg9WSgXc\ncs/t2Gw2TCYTH727jFtVP8Pwxj7U/9mL4Y19+FaXYn7oGlQGLbbcEhJHZUUobgXGO3vucz9qvIKW\nQd62TWh7RQ+Wtb3Syd+26dwOSCAQCC5ARDIiEAjOOjabjWfmzGbQuBFcM2EUg8aN4Jk5s7HZbHH3\nCyQuZyPoKysr47oJ4+jSrxfdhl9Bl369GHT9cCxXGJpMekwmE7Mef5qtq/P5fHkeWz7KIzkzDbVR\nB4C71Iq+V+RseWC8H2/KPeXxCloWiqLg00pxxQy82tNLvgUCgeCnhOgZEQgEZ5VTrasPlElt+GIL\nHpWMyi1T47KRGCfoszrqqKura3aTeFlZGYPHjsQwsQfme4cFy6icBRbsG0vR9WyNyhBu1KTtlU7+\nG5uYRXjZTSAYVXsUvA2Bp0qnjh+kahShvHSBI0lS8J7HEjNQu8U9FggEgqYQKyMCgeCsciolVqFl\nUo7fdMN3Xw/cU3ricDljzjArioLD5eDWX92BzWYLllzFY9Lvf4thYg+MOZlhYzL2ycQ0MgtbbknE\nPk3NdI8aNAxPcQWSJCG7fXHHq/YK476LgcA9j4anuIJRg4ef4xEJBALBhYdIRgQCwVnlVEqsAolL\noEkdGhKXnuk4iyxRj+EqKkfXMx1LXyPZg68MllxdN2EcZWVlUZOCAz8cjGlcqM/OwF0a2cTb1Ez3\nI3+cQfoOO+6icnRdzLiKy6O+z1NcwY3DxkTdJriwCL3ngedMURTcReWk77DzyIPTz/MIBQKBoOUj\nyrQEAsFZ41Tq6u12Ox98tByHUUH12UFktw9dVzOm0VmYRmdhXbgTZAVD78yTClZF5djzS0id0g9J\nr0GVX4p52iAUReFokYV+Y64lo0Nb9JImqIiVkJCAZIxvXKjSqSPKqDzFFYyNM9NtMplYufh95r32\nMrlH8yn7qghkBX1Omwg1rZlrnrho1bR+SoTe8/w3NuHVgsYDYwcN45HF04Wsr0AgEDQDkYwIBIKz\nRnPq6usqarBYLPzygV+jHt+VtJDg3VVcTvXCnaRO6Ufq5L5Uzd2CfcNBVDp1MFlJndIv2N8RmkQY\nczLhTqjaUEraQwPDelQUhyeucaHP5g772V1YTusdNh55N/5Md6CxfdbjT1NXV8ff/zE/apCalJTU\noiRUBadP8J7ztOgDEggEgtNAJCMCgeCsMmrQMFYWR/dicBZacGVoGfPzcUjjO2MIeY8kSRiy26DI\nSnBVBAj6eDQO+hRFQXb7wl435LShbkXRyR4VyvnbSy+QpEvEWWDB2CeKcWGhBZ/dRdWC7cGkR51i\nQFFandJ1JyUliSD1J4a4xwKBQHDqiJ4RgUBwVgnU1bsKLGF19c5CC/UbSml1Zx/qVK6YfSWGnDYo\nbh9p0wZhuLIdziJL1KDPVVSOrmu4s7kkSUhGbbCpXd0lhfdXLkMe0wH7xlKcheFjchQc58R736JJ\nSwRA074V5t/1I/Xeq7AOTD5tPxMRpAoEAoFAEB2xMiIQCM4qgbr6fqMHU5dfElFiJek1SCZd3B4O\ndaLfv8M0OovqhTuRkNBnn3Q2DyQ2qVP6he2rKApKvQeVyj/vYs8rJWFiLwy9M9H2SMOeV4otrwRJ\nq8ZXaUdzaQrpTw1DbdRFlInFkvYVCAQCgUBw+ohkRCAQnDayLAcD/VAalyUlJiaSnJlG4n09opYs\nKQ1SuLF6OALlV5JBS+qUfthyS7DllaDyKEguH0p7U1jvSABnoQVViiH4s2t/BYqiYMsvDUuKZI+P\nhKGd/H0mDQTKxFDAlltC8viewWZ7sdIhEAgEAsGZQSQjAoGg2SiKgsViYdLvf8uBHw4iGbUoDg/d\n2nfhn/MW8Pb775K3bRM+rb9xPaBgZTKZ4jay67qYcRVYMETp4WhcfqUyaEke39P////sYeU/3+Xa\ncaNwHajCENL87iy0UPtBAWkzBiM7PdSt249sdaLrbCZ5fM+wJvkTS78l6YbuUa9Zn52BLa8kKO0b\n+BxEQiIIIJ4HgUAgOH1EMiIQCOIScETP27YJtyRjOXyU5Dv7hDmXHy2yMOLW60me2Bt9DJf1eI3s\nug4pSB8fxq1WBT1GFEXBVWDBtrEUc6PyK/AHgBoPtG3blq1r85n0h99yYOVnSEYNXpsLyajBPH0Q\nKoMG68KdqJINJN/VJ+rqhzIxB3teaTDJCUWSJCStGuv/24V03E7X/tlIBi0GRcPNo27kiT89JiRc\nf4KEfi+iJd8CgUAgaB4iGREIBFEJeH/ccs/tfiPCyT2oW7OX5IGRAX1ARtd9qBrDFW2DrwcUrOa9\n9jIPPzidLb+8jUpZQZdzst/DXVhO+u56/rtsDa+/+UZQClfnU5Om0XFsSJeI8isI9/3IzMzkkw/X\nYLPZeGHB38nb/hkn3HZqX9uB4lUwTeyFLb80ptGhoXcm9g0HY34OHksd6kQdpok9MWSfXH1ZXVjM\nF7+YyEfvLhMB6E8Im80W9r2IlnyL50EgEAiax0WppuV2u3nssce45JJLSEhIYMCAAeTl5Z3yce6/\n/35UKhU33XTTWRilQNDysNlsPDNnNoPGjeCaCaPof8NQDqmsaLqmIkkS7lJr7IA+p02Ec7ns9OAs\nrWLx8iWMuudmDh8/Qu26vVS+tBXrP7+gasF26nf/gKIoQb+Gravz2b4sl8ItX/LhW+/R5n/OZjlc\nBwLEj9RFeKb0JPGhvpifGgaJGnTZGah06rhN8pJEVLd2Z0EZ6kQdSeN6YMzJDHOGN/TOpLK/6bRV\ntgQXJvNefYmK/onoGkQUICT57p8ongeBQCA4BS7KlZFJkyaxfPlypk+fTlZWFm+++SY33ngjmzZt\nYuDAgc06xpdffslbb72F0Wg8y6MVCFoG0WZ7jYqCVGSheuFOUib3bTKgDzUdlJ0eqhfuJHFUFknj\neyBLEqlKD1zF5djzSmj16ytRG/0qWdaicp57aS5arYbcrRuRdSrUHgWTLoE6hx3X6uPULS/GkJxI\niiGRsYNHRDhchwaIoahMOlQqFXITTfJSrQdPcUVYmZinuIL6D/cgtdKh7xVZXgagy8kQKls/MfK2\nbUI7uUfUbUJ1TSAQCE6NU0pGrFYra9eu5dixY2RmZnL99dfTpk30WVKAVatW8c033zBz5swfPdDm\nsnPnTpYuXcqLL77I9On+WdN77rmHnJwcHn30UbZu3dqs40ydOpVJkyad1oqKQHAhEi2YD5RgSUjY\n80qbDOhDTQdtuSUkjsoKW0kJVagK7dFQd0nh3eeWokrSIZl0KDVefHYXSWN7YLwim6RASVdROQk7\n63nkwekRZTDRAkRJkoJj1nU14youj7qy4ymu4I5xP0eLNtwxfeBQ1l1SjtVri5uEeTU/3Sbmn9p1\nK4qCTyvFfx6E6ppAIBA0m2YnI8uXL+e+++6jrq4u+JpOp2PGjBnMmjULjSbyUCtXruTtt98+p8nI\nsmXL0Gg03H///cHX9Ho9v/nNb3jyySc5evQol1xySdxjvP322xQVFbFixQqRjAh+MsSb7Q0oSsUL\n6J2FljDVK3eplaRx8Y8H/lKumkW7SLo9J1wNq8BC3UfF6LqYUbcyIEkS+pw2VEj+HpRZj5+ceY4W\nIAaCwcCYAx4lKP7zB8dZWE7GrnqeWPyov1SMp8Mki/PGbUJ2eWMGl7Iso/P8tAJPm83Gv+a/yO7N\nm0hUK9h9ElcNGcbvpv0Js9nc9AEuYCRJiqsMF1Bd+yk9DwKBQPBjaFYyUlBQwN13343b7eayyy6j\nT58+HDx4kN27d/P888+zceNG1qxZ0yL+CH399dd07949Yta0X79+we3xkhGbzcbjjz/Ok08+SUZG\n9LIMgeBiozmzvSqdmsRRXalZtCsY0IfK6Na99y3JE3sH+y6kZpZ02XJLSBjZNbIpvk8mSFD59y1o\nMpPAK6PraiZxVFfyF4eXwQQCRLfDjT2vFHepNegjou2YQt0n+0ka1Y3kX13Bibf/R+2HhX5Z4no3\n3Tt0ZfG//gPAM3NmR6gjDek7kA++zQtLwmSnB1tuCe5Sq3+sLhXPzJn9k1BSstlsTL5rIlPba5g9\nvH3wGcg98iWT75rIB+vzz/cQzzrxlOFChRUEAoFA0DTNSkbmzp2L2+3mqaeeYvbs2cHXt27dyn33\n3ccXX3zBtddeS25uLu3atTtrg20Ox48fp23bthGvt23bFkVROHbsWNz9Z82aRUJCAtOmTTtbQxQI\nTouzWfbRnNle2eVFZdCSMrkvte8VULusAE2iHsXpo1uHzvxzxXre/uC/wTInqhzNKumKtYIiOz14\nvqtGpVWjUknIioKvqp7q13egSTYH1b4C8qqVVVW4XiknaVwPksb1CPMRce+rpPUXdXz/YTGmib3Q\nh6zAlBdXcPeUe1EUBevA5Ah1pLSv6rjEa+Lwmr0osoIuy0zNol0kjOwadp6fipLSv+a/yNT2GsZ0\nPDn5JEkSYy5NRcHK/Of/xh/+9Oh5HOHZ55E/zmDbPbdTQXlEj1H6DjuPLJ7e9EEEAoFAADQzGfns\ns8/IysoKS0QABg8ezO7du7n77rtZu3YtgwYNIjc3l6ysrLMy2ObgcDjQ6/URrxsMhuD2WOzfv59X\nXnmFpUuXotVGSokKBOeaeF4GP3YlsnGiEG+211VoQbY6qH5xm9/ksEMX3lq7koyMjDAH9lmPP80s\nnqauro6Jk+7iWAwjw0BJlyzLIBGRsDRufg9NLOrW7KWuzBohO6ysLMaUlRa9R0VW0Ox0YLo9J6In\nRpedQaWsUL/7B1KzsyK2VQFj3T0ZiMKqNWuoqi8g6fbeESs5oTLGoSVkFxu7N29i9vD2UbeN6ZDK\na/mfXvTJiMlkYuXi95n32svhPUaDhkUIKwgEAoEgPs2S9rVYLFxxxRVRtyUlJbFq1Sp++9vfcvjw\nYYYMGUJBQcEZHeSpYDQacblcEa87nc7g9lhMnTqVwYMHc8stt5y18QkEzSWgbrVSKsA1uQe++3rg\nmtyDlVIBt9xze1j/1qkcM1S6d9C4ETwzZzY2m43f3Xs/9g+KcRSUhcnoOgrKOLH0W1JnDML88GDM\nTw2jrK+RXz5wH/X19THHfexyHbaNpTgLLRHHq/2gAM+haqyvfI5id0dI6oY2v4dJ6Wa3wXTjZbi9\n3gh5Vc/hGgw50QU19DltKD12CG2v9KjbdTkZeI/VITs9Edu0vdLZvGsbc2b+leLt/6N9+/Yxz6Pt\nlU7+tk3Ba73YUBSFRHXsFTpJkkiQlIvy2hsTKkX9+Yd5bF2dz6zHnxaJiEAgEJwizVoZSUtLw263\nx9yuUqlYtGgRZrOZuXPnMnz4cNauXXvGBnkqtG3bNmop1vHjxwFilpFt2LCBTz75hBUrVnD48GHA\n/4fX6/XicDg4fPgwZrOZpKSkqPsvWbKEJUuWhL3WpUsX5s+fT3Jycov+46zValtEv8/Z4EK+tude\nmhtV3UqXnUElFTz74vO88Je/Nft4dXV1/Pzeuyi72hBWirSi6FveGdoPrUGHYXw3PIeqseeXBnsu\ndF3NJE/IwbH1MNrxPcPG8OobrzPvr3OCx5/1wt94d+VSHHoZ5TMFbccUXAcqseWVoNKp8dncSHo1\n6U8MQ9JrkCSJ2tV7cBZY/D0iDcRrfjfktKF+1V7yP9+M9rfdAf93NZ7sMIBk1MbvYUnUYv3XDsy/\n6x9msihJErJORWpqqv9c+tjnUVxePJVWfnHDSBJVCnZZ4pqRY5j+56fCfndcyM+lA3Xc8rt6WSIt\nLe2cjulcKVddyPetObS06wvc02nTpnHwYLgp6V133cVdd911PoYlEAjOMM1KRjp16sSOHTua/IX/\n/PPPYzabefzxxxkzZgydO3c+YwNtLpdffjmbNm3CZrOFzVB98cUXSJLE5ZdfHnW/I0eOIEkSt956\na9jrkiRx9OhRunTpwssvv8xDDz0Udf94vxhra2vxeCJnXFsKZrMZq9Xa9BsvQC7ka1u7YX1MdStN\nr9as/X+f8NhDf2r28Z6ZM5uyqw0RyY0+pw2yomBbvYfWV7bDeJVf4CH0+64oCvbN30WO4Y31/Hn6\nI2EeJcaH+5MQUlZlzyvB/Lt+SHr/r5uqBdvDgn3T6Cwq/74FJIIrDk01v0t6DR6VHLZqEk92GEBx\neOIG0YoCplHdsOWWBCWHA9tweqmurvbv74p+HtnpQfPaDub/7BKu65h2srH74FZuu34ki5acdGm/\nkJ/LKwYNIffIl4y5NDVi26dHqrlm1Jhzcm3xShjP1urEhXzfmkNLuz6tVkt6ejrz588/30MRCARn\nkWaVaQ0cODDoMdIUjz76KAsXLsRut5+Xcq2JEyfi9XpZtGhR8DW3282bb77JgAEDgkpaZWVl7Nu3\nD5/PB8DIkSNZsWIFK1euDPvXunVr+vbty8qVKxk/fvw5vx7BT5NmeRloTq0cJm/bpphlSvrsDNCE\nJwCN/x9Qvwofg3+ssRypDdltSByZhS23pMHlPMpx9BpS/zCAE0u+oXLeFqyv78Bbbot5bYqiYFA0\naLzhpVABCd9oeIor6NahC57iiqjbXUXl6Lqa0WdnBF3kZaeH2tV7qJy7hXJbNV369aLn4Cuprq6m\n5q2vIkq6VOsPML/XJVzfqXXYZzDm0lQe6qBh4YKXop77QuN30/7EgiMePvneGlZ+t+67SqZtLaHC\n48Zms53VMTRVwni2zy8QCASCM0ezkpGJEyeiKArPPvtssw56//33895770X1Hjnb9OvXj9tuFdXp\nbwAAIABJREFUu40///nPPPbYY7zxxhsMHz6cw4cPM3fu3OD7Hn/8cXr27MnRo0cBaN++PTfddFPE\nv4SEBNq0acP48ePPy0qP4KdJQN0qXkCu9kY2fseiqeRGpVKhOL1xzxdqaBh4zXL0OIPHj2TZulVx\nE51AgB84juLy+gP9+duofn0HNW98iSo9AV23NGSbCwlwFliiHs9ZUIbX56W6yoq76GTyYRqdhT2v\nJKJHxV1UTvoOO2/949+k77DhbNQT4yy0YM8vwTQ6y58w6dT4HG6sC3ei7ZxK60evJfXhQZifGoZ2\nfFccRgVD70yqFmzH53AHj5NQWM51l0YvTxrTIZXdmzdG3XahYTKZWLRkGZsyruDq93czZM3XXLnu\nG6Z5HbifupaVfHvWE4JYya+2VzoV/ROZ99rLZ+3cAoFAIDizNCtbGDBgwCmXGU2cOJGhQ4dGbXA9\n2yxevJinn36ad955h+rqavr06RNU+wogSVKYClAsArO5AsG5Jq66VYGFdJ0xohwxFs2R7lVQYhoa\nBlYOQnEWWtBdnolz7GU4Xv2chHhlVVp1g5FhGaokHdaFOzGNyiJxVFe/s3tJFZJKwvn1cdSKROvU\n1rg/PoxLktDlhPuZ2PNLMU/v75fifeVzkhQFfU6bk7LDSwuoX7EHfXICztp6dFod9uRWvP5/i3jn\n9f9jxK3XU9WoJyZ1Sj9UBq0/SalyUP/Kl5hu7IqhkWJWwD3e/Z2V5Bt74Jz/JcmZZtRuhTZaQ/zG\nbpUSUfp2Ln+3nMnzmUwmHHotVXdkU9sgbQugBtTZ6VSgnFVVsVCDzlDPF5VOjezy8oGzhEceFKpW\nAoFAcCEgKS25s/oioaKiQvSMnCcu1Guz2Wz87cXnWbrqQxJDfDF8Dje17xXg+b4GdYoBqdbDHWMn\n8MSfHmsy8HpmzmxWStGTG2ehBdeBSrzf15A4Mivc0LCgDNvH+zE/dE2w18NVVI49vyQYxFc8t5HW\nfx4WM9GpnLMJ0/ie1C8rpuulnSnrZ0TXLS0o36vv1Sjh2FCKaUBHpI1HMaUmUeO04XA70fVIxzQ6\nKzgO2enhxHvfoq/wkNQ6BY0Hru07kB27d1E5wBScOQ/1gOh3+VWs1e8N+kOE4i4q5xb6kLd1I66G\nJv9o11O1YDtpUwdieGMfWz7KQ5Ik7hoznLUNJoDR9rly6Ze42rYh2WjC7nHg1XDW+xx+bF9FvARm\n0LgRcT8j/aK9bFuz4UdfQ7RjXzNhFL77eoRJQIc+Q65CC2121bNy8Qdn9HO9UH+fNJeWdn2BnhGB\nQHBxc+7rqAQCQVxCm8FTHh+MPa8UW34pyDK+KgfJd/Yh5d4rg4HXmqI97GyG2V4so7ZAYpEyuS+S\nJGHLLcH28T6MOiPOOjvqHmmgV1M1dwuSUYPi8KJKMZAy6cqTSYFXxllkCfPeCOAstOCr9+A5VE3r\nDm2o9zrR53Sibs3eoHxvAEmSMPbO9JshfmfFML4zo+lD7pYNJDzUNyLwVRm0pEy60p8UfOhPCp6Z\nM5uqa5L8fTAhxw34gChuSN9hpwKiGtY9/PY0PtmxqUn3eMBv7tjAVUOGxWzs/vhwFbbLM6j6oYa6\nIWkYsi8NM1Y8G2aJoc9RYyPHeOez2WzMfeVF8rd/FjOBiVX2F7ZK4VUYNG7EGU+2Qlf5QiWgQ7cb\nemdSobr4PV8EAoHgYqBZPSMCgeDcEVoPrzbqSB7fk9bTBqHLak3yXX2CwTqcVMMK1Mk3XugM/Tlg\n1HYLfTC8sQ/V/9tD9bOfUbd2L7LXR81/dvubxyvtdEppx44V+bQxp+M9WkvS6G6kzxxB+qNDSZ85\nAtOoLE40NHErioIm1Uh9fqSniLPQQv2GUrRtTJjGXobGKwWDWHepFX2vyFUaONlnou2VTt7Wjcg6\nVTBpaIwkSWFJQbxGfW2vdLbs2h72Oaj/by+GN/ZxC31Yufh9kpKSmuzXkd1+4Qu1++TKQczG7kOV\nzNh7lFqVhGlUFsac8Puny844K30OsfoqYp3PZrPx51lP0WdIX1bwbdzG8Gg9TYFVCl0XM2lTB2J+\nePBZayofNWgYnuKKuM9QqOeLQCAQCFouYmVEIGhhhNbDh+I+aCVpfOTrstODs7SKxd8s8c/ou2WS\n9YnUOmwoBnXEzHaoS/r4uybwg64Or9WOr8YJXhl8Ct87bMx5aS4mvZHEITFczRWCMriKTyF1Sl//\nKk6Dp0igHyNlcl+qF+7Cu6eScdeOIG/rRjyyjKRVNWv1waOWsZXV4Hh5Kyq9JnjcQLmWoijBpKBZ\nKmRaSExMDH4OgVKk0BWBqupqtDHc4wP9M57iCsYOHh58PdDYvXDBS7yyaSN2awUnDCrs3dOQ/9Af\nz792knxLr6jj0vZKJ/+NTczizM3ix3qOop0vsIpySGUl4bZeEb0y0dzlG/c0xVqlaI4z/an2szzy\nxxls/eVt1KmavtfnujdHIBAIBKeGSEYEghZErGA6lqlfaM180vge+BoC8qNFFuz5P2C+rx9evSZq\nac5zL73AoZrjmMZ0w775O5JuuSys7n5N0R7sx74nNXto1LHqszOw5ZUAflldd6k16M8RGgA6CspQ\npxhI32Hngdfv54udOzj2960oQOXLW9F2NZM0pluY90hg9UF2erAesWC6LZu0kP4PV3E51Qt3kjql\nH97S6mBS0JxG/dDVDAC73c6r857n01XLSTJp0EhgykqlMu8ASoP3SWhJmy2/BNOQLqTvsPPI4ulh\nxzeZTMx44ml44mkG3DoS+Tf+z0NqwpTxxwTO0fZpblIW2DewiuLLPRZVwAAiE5jGZX/xjCqjJVs/\npp/FZDKx6p0P6H/D0LjeMY3vtUAgEAhaHiIZEQhaELGC6VimfrFmo405mUhIwZULXXYGFl8ZP590\nJx++9Z4/mFu/BtNNl+H5rhpTjBlt24bSJlcvZFlGe0krat8vACU8eHcWlOH4cA+33zKRqZP/wN1T\n7qVygInUrgOw55XiLqnCe6iGyhc2o++TSdIN3VEZtMHVh9qlBZhuy0afE7kyo8gKJ977lk6yOSwp\niKdC1ng1w2azMfmuiTx0iZo5d1wVHPf6Q1U8VHGMytwD1K3dh1ajQXZ40Ol0tE1OYbTuCh5ZfFKt\nKVpgbTtxAmPD/WrKlPFUA+emAvloz1FjJa/Q8+Vt24Tm/stQfXaw2QlMoOxv3msvk7doIypv7PE3\n3vd0+1lCMZlMTLzx5qj3OtADFHqvBQKBQNAyEcmIQNDCiBVM67qaI5rE481Gh65cAOh7t2H/J1u4\n5Z7bWfH2Upw+N+bsNtjzSqMeQ5IkFJ8cN4CWqxzUPLcFqb0J8/RBOLYexp7vT2CkOg93jL2VJza/\njclk4olZT/t7GLLMJ1dzxvUIU9GyLtxJ4rWdsW/5jqQhXbB/bUE3KXpPgCGnDc5V+3hn1cqwwDVW\no36gQT2QuMiyzL/mv8jU9hrGdDwpWyxJEjd0bs0CCf5oqaK6zkW6NoXPP9sU9bOIFVi73voKVaEF\nQ+/M4P2LJZ18KoFzcwP5UYOGsfzrr3H/UHNS9rahxE3XPiV4vsAqikqlOuWEKbTsb9C4EbiauW9o\nP0vo596ckq5QQu+1uktKMMGV1CqkE248Y3s0W/5aIBAIBOeH02pg37x5M/v372/yfQcOHGDz5s2n\ncwqB4CfLI3+cQfoOO+6i8rBGaG27ZGrf+xZHg2mfoihITZT+hLqdS5KEKlFHeb8E/vbSCyh6f09G\nvPIhXVZaTPNBT3EFv7r1Tr7J/4Jf9B2L6YPvSa2UuCQhjV+OvJVv8r/guZl/DQaCq/LWoc9pE7aa\nE9pYbeydSeLwLthX7aWtLoU7TQNo3a5N3OuTk7T84ne/DmuODszY36z0jmhQX/j3V5lwzx106deL\nbsOvYNXSdxkdRf0K4IaOaSRXOjCNzKK67kTMID1Wo3irO/tQt24frgJ/U79pdBa2vJLg/YNwU8ZH\nHpwecexoNLcx/Xf33o9j1T60nVP9DeW/H0Da1IFoO6fiWLWPB+69P7hvoBm9KRf7USEJU+MG/6F9\nB+EqjG1UefzYcZ6Y9TQ2m61JkYHmNp4H7vWN7h6ceH4ruk6ppE0bRNpDA0l9aihr9XuFI7tAIBC0\ncE4rGRk2bBgvvPBCk++bO3cuw4eLZXKB4FRorHoVCKblTw5h/tNgPIeqqZzzGdZXtuOrsDfbNT3w\ns6ZrKv/9cCmyywsQnA2PRuKortS+X4Dj2+NhAbTj2+PUvV/Ix59v4Lo7bwJFYf2SVXz+YR5bV+cz\n+88zw2ajFUXBKXmbVNEy9M6kbbu2bF+3ib8/+zwab2TQG3pMRVGoHGAKBuA2m41n5szmujtv4tOd\nn6EoCmOuHsKyN97Fbrcz4rYbOVB3FMWkRd3dTKo5IW6yk6xRoeuVjtvtDntf6JhiBdYqgxbzQ9fg\nXVOK4Y19aJeU0laXwiW7XRj+vT9Cxau5s/fxAnl1lxTeX/Uhg8aNYPjEGzH+vEeEepcxJ5PE23rx\n+ptvBPcLqFPFcrF3FVj8PT/33s8zc2YzaNwIrpkwikHjRvDMnNnYbDYUFOrW7YtIthwFZdRvPEjK\n44NZrS3mpl/8HI9KjrmCElrS1RxMJhM6rRbT7TkYep8bpTKBQCAQnDlOu0yrOX8ohJ+i4KfA2VDr\nCS1/CXyPrpkwCl9qAtrxPakstZL6x2uwrd3XbNf0wM/2vFKS7+yDu6QKZ4ElfvlQaTWGq9rh2H2U\nupXFqM0J+Kz1aC5NIeXxwShGHa5melf47C5kWY7ZiN/Yn2LsiOsZ2ncQa4v3Rnehb7ieQHP0I7bp\nUcuXVhUX8t+xIzGM70b6X0aGN8HvPBq3LOmEV0alUmFITqSuro6FC15i9+ZNJKoV7D6Jq64dhkcl\nx7yPaqOO5EwzWz7MAwiex2w2U1VVdVrN6rH8PaQ1+0j8+jiXJBmoPVGJxuFCm2WOepzGDeUPPzid\nbb+6gwogZfJJVbST5XYTeOj13/PLB+6LWR5md9Zjfugaqhftom5VMeokPYpCmMO9uncmlVjwrraQ\n0PC5y04PqvUHSNhfRSu1ihM+GZdLwm63R32Wot2vU1EOEwgEAkHL4qz2jBw7dkzU6gouSn6ss3U8\nGgdbgf8HGpIDyloqlQrT6CyqF+4EhXDX9AYXc/OUfmHGhq3uv5qahbtIGtcDfbc0rK/vIGFIZ2x5\nJSg+OTizHLpP6pR+SHoNFfM247XaSZ6QE9a30lStv81m49Zf3YGmYwqu4vKIvoQwRbCGHhKXovB+\n8Zek7j5BmgQVshx0oY9m1OjVwtxXXozZh+CTZTyHqjFedUnwdUN2G+ydU1l/uIobOrWOuA8fH66i\nvnsaiqKQpDEy5e7bmNpew+wGl3VFUfj08E7eK/mBqtdOgE8JkxwO3MtYjemnk8BGa0yXnR60/9jB\nyz0u4bo7+4c14c/45048f+gfplQWOI5HrTDzuVlBc0PJ6SNzl4q6rZXodCo0CWmMGDiURxue6Wfm\nzI7b5+FafZwkow4UUCXqSP3jNahUkYvvupwMfB9/h6e4Ak3XVP/Ye7bnuhtDPtfvrUy+ayKLlizD\nZDLF/b4lJiaeknKYQCAQCFoWzU5G3n777bCfS0pKIl4L4PV62bdvH3l5eQwYMODHjVAgaGGcCSWg\naMeMl9zYbDZMugSOzduCyqTDW2HnxEfFJI3pRuqUfn7X9IC/h8uLXOlAStZR85/deO1uFKcHSYbq\nf+xAtrupfGU7qZOuxPxAf2y5JcheH7XLi7BvOBjW6Nxq0pXBFQtJklBk8BysRp+VFhHgxpqBDvQ4\ntOranuqFO1G3MoQ14sdSBNNmp2NFYXj1pax4bzXoi5CMWmS7m2Sgg0FHq3/uCs6k5zo2on0guo+H\nIadNWDN/AHlCL6bN2YyiKNzQqXUwGP74cBUz9h5F/kN/vMUVdDYkMbUtEY3u13VKYwHdmeZxoNzc\nM0xyWGXQnjFFp9BAurHAgWr9AV7u2Z7rO6aFje2Gzq1RJJi2/gA08jdRFIXKYxZWSgXoJp8UEThe\nVE7rL7yseusDkpKSwvZpavWhbnkxcoh/TLREJDA2U1orTF/YqP7iSNSxX9cxDSQrCxe8xJSpM5r8\nvp2qnLNAIBAIWg7NTkbuvffesFrcbdu2sW3btpjvVxQFg8HAzJkzf/woBYIWxJlSAgrQVHLzzuv/\nCUripmVfGyKba6HiuU0Yrmjnl8Qdrz0paeruyc7/7eJYDzWe9ftJvr13sGE8sG/VvC3oL29L0rjL\nSB7fk8qXt5I2dWDweqKtWDT2+AhNSKLJt8579SUWr3gP81PDkCSJ1Cn9qPt4P7XvF6D4ZIx92sZU\nBFMUBXWXFJb/7SOS7+yDIadNwyrATub3uoTrLk0LWaGwMu3zUhRXd6SQMQVKgBL3V5Hp9FE3dwv1\n3dOQr+8GgOE/X/HcoCz+Z6nl9W9+wKhRUeX08IPPh3v6QJTSatJ32FHb7Yy+9NKo9++Gjmk8ue4b\n7FK4GaShS1pUL5JTeS6iJagP/Hoy2x64L6gWlri/iutubB9/bI1edxZa8OmkCMlkfU4bKhSFOS/P\n47mZs8PuRVOrD4bkRDzFFSge+aTAQozkQOVRWLX0A24beS3X9Y9eSjamQyqvbNrIPBVNft9ORc5Z\nIBAIBC2LZicjM2fODP7hnz17Npdffjk333xz1PfqdDratWvHmDFjaNu27RkbrEDQEgjMEDcOthRF\nOa369KaSmzE/H4c8tiPGRoGjsU8mSODYfZTqhTtJmdwX38Ea0nfYeWLxowBkX3MFyXf3iSirMvbJ\nREHBufsYlc9/hirZgKRR4Sy0YOwdf8Wisft66PUHZqADCVZ5vwRIM4aXnWlUqFON1OcfpG7lHlAU\nFJcXyaAN7x3RqfFU2km+o09wTOpPSpjfK8pMeqc0XlSUsFWAYPlSoxKg9d9bmfGPHXg6pgRn5W/N\nahO8BkmSWPddJb+btxVPsglbUjJmh63JRndbw7767AzsK/ZwZ5fhYV4kp0LcBPWB+3jn9f/w+ptv\nkLdoIymu6M3ggbElKVAn+3tfgiVuG0pBE33lQp/ThlV/XxuWjEQrDwtFURRa6RNJ3FmPI8WI3JC0\nRutDchZaSDMkkpiYyCXmVnHHnqBSyN26Ee2UnlHfE/i+rV+yqllyzgKBQCBoeTQ7GfnLX/4S/P+b\nb77JqFGjeOaZZ87GmASCFktdXR1V1dW4FmwPlkShklC8MmqjFtntQ++SqKuriyhziYbNZmPZulUY\nH+kfdbu2VzoVywpIz4nuim3IaYM9vxTTyK4453/JbTdNCAuAJb0mLCAMDfYlnRpfhR1dJzOqFAPa\njimceO8bUBQMvTNPycMEwFVoYUy/wcDJBEufnUFdXol/ptzlje4vUuD3F0mZdCUn3voquB2gav42\nDCHXnhBvFaBTGk+s+or6hmQkZvlSR38fyMNflHLdHf3CjhEIjG/olEbKFyWUZ6fiHtUVy4vbm2x0\nD105zmifyV8eeyrm+5uiqQT19TffCAoc3DVmeNyx1Tg8VP19K5JGBSoJXVcz5in9qPnP7uB+oftL\nkoQTb8Qxm1x9uHYEjzw4nRf/sYB/v/N/+MptKLISYYJpzy+lzpCKJEnYfVLcsdt9ErJB1WQ/SGJi\nYtCAMf+NTXi1oPHA2EHDTjshFAgEAsG54bQa2A8dOnSGhyEQtHwCjdjasV0whQZYRRbs+aWk3HcV\nkl6Dq8DCrb+6o8neEZvNxs2/vA2HQSYhTrAlJWijbgtsR1bQdE1FVqt4+A/TgueUZRl1oi5uo3hg\n/LXvF5B0Q3dQcqhdVUzdx/uRVPHLcqQQDxNXUTl16/ahjPEnAqH9BQG1LvdBKwkju0a6xTes8NS8\n9RWJQzrjPmjFlluCpFWheOTgOAFaqeMHpsleqC60oMvOaLJ8aeb2krjHSk1NoLpzKjWLdqHq0Zr1\n31dxQ8fYje4BovUo2Gw2/jX/xaASlwM1Vwwawu+m/SnqM3Iq6lBXDRlG7pEvGRPFL+Xjw1XYOySj\nsrlImdwXtVEXHKPs9FK3Zm+YIaK2Syqm0VkoTk/EsZpjJmkymZj//N9Zuy2XmtZQu6KIupXFSHoN\neGV0vdIxP9AfeUkpiqLEHfunR6q5euhwvv98U7P6QRor0IkeEYFAILgwOC2fEYHgp0hgtrqxl4Ex\nJxPTyCx/AC1JGPpkNsvbYN6rL1F+pRFfnSu+V4jdHfx/1O1uH9YXt2Jz2Lli3GCuGTucZ+bMpr6+\nHsXhCe4X02wwJ5PkiTnYckswXtkOtUmP2qDxl0/FGZevwk716zuoWrAd93dWzA9dw5Zd2yP6CwLe\nFbHKdhTFP3vuq3Zi3/wdui5m0qYOJPU3VyM7PVS+vDV4nuomPqsTamDNIbQLi5suX9JqkGU54hjB\nY/lkvyfHyCxq1RLTi4+y7rvKsPesO1Tpb3Rv6EEB/wpRdZU16L9hs9mYfNdErj26i7XD2/PB0EtZ\nPaQd1x77ksl3TQwa8gU8UgaOHU5ZXWzZ39DeHIDfTfsTC454+OR7a/jYvqtk6pb92MxGUqf0CyYi\n4Dch9J1woutiJnVKXzQdWoGi4D1UQ+ULm8Htw24P7zSJ5X/T2CdFkiS0sorkW3rRZuZI0p8aTutH\nriX9iWG0uiUbSa8JJhCxxv7J91ZeOeJjytQZQQ+UaDQ2Ygz9jAQCgUBwYXDa0r7l5eX885//ZPPm\nzRw/fhyXyxX1fZIkUVpaetoDFAhaCvFmqxuXLTWevY42U/vp5g3Uuav9vRoh6lKhOAstKB4flfO2\noDbpgipXAflYx+6jKDYXyXf0CZbDeEKa3ztnXoql4djxyq4MvTOxbzjoV0HSa0i+9woqn92Es8Di\nX7lohKuoHMOV7YIrLAG8DYs4of0FKoOW5F9dQc2iXWGrNI29JZK9PpRrO2HIbhNcxUm+NTuszMf+\nn92sP1TFDZ2jrFAcquJEogZl2KWM0V3B/g0b4pYAuTU68n44wTWZSSz46nu+OF5DolaN3eMj06TH\n1iUVVci99T7Yn+kv7eQfhxwYkfmuvIKaTsnw+36oDdqgpHL9hlJSpvdl5UH/PRjZ50qmttdEKHGN\nuTQVhSiKUVN6Ii+IXxYWuvJiMplYtGQZCxe8xCubNpKgUqiXJfoMGERSVx+e7sn+lYmGfT3FFTiX\n7yXppp7oupqjixQUWrglijJcc1cfQku6Gr8ntKE81tivGjKcRXP9SnLNWZERCAQCwYXLaSUje/bs\nYejQoVRVVQljQ8FFTUDRKHfrRiw2K+Y4s9WqhrIlSfKvClgdtTz+lyfZ8uXnEWpI//zPQo6Xl6Ey\nG/HWO6lbWQwKwcBblmVcReXUflDg9/W4sl2YmpV14U4SBnei7uN9JN8Z2aCuy87A4ivDvbYE5wdO\n6nf+EJRcjTd+WZaR3T68B2sw9m1P/cZSkIio+69dVojhinbBxnMID5JDg1HZ6aH27f8hO73B3pGo\njeWHKpm+4Tu8vTJiNs9Lv/gZ017choK/r6OxFK9vZBfsmw+Sq7MyYcjwuCVAQ64fx4u7duDZUcLj\nfTvzZP/OIWOpYuueH/A6PagMWlQ6NejUaNPM/HeNP8mx2+3Me+1llr26EoferyAVZvCXnYHFfZzc\n5cuZc8dVUT/3WIpRcY0oo6hDmUwm/vTkTHhyZliScG9ZGZN+/1sOLP8MyahBcXjp1qEz1WlpyFe2\no27N3ugiBb0zqVDFV4aLt/pwqglErQoOayW8GgmNF7qFrNkHVmREP4hAIBBcnEjKaWQT48aNY926\ndfz85z/nz3/+M927dxd/EOJQUVGBxxNZg91SMJvNWK3W8z2Ms8KPubYwRaNe6VQt2E7a1IExZ6ur\n5m+j9fTBwZ8r520BRcH80DWojTp/IvF1GY5V+0i8rRfaXunB/Z1fH6f2o2KQJCQkJIMGxeFB074V\nre7uE1ZiA+D49jgn3i9Ak5ZA2rRBscfUMGZXoYUTywrJaHAgj/XexJFdce4+inzCSeoUf3N33fr9\nuL4pQ5VigAZH7cRRXfEcrMaeVxIMvt1F5dxCH2Y9/nTYZ+csrULTPpm61XtpNTEHw4EqXtElhDWW\nB1h3qJJpHgeVh6pjftY+hxvXrA20TjLQyqil1itjb5DrVRm0OAsteNaWsuvjzUy5+zYe6qBhTIfU\nYED8yeEqpm8/iNwpE+m4lQVXtee6KKaHgbEoN/ekasF2kkd3C15fKIPGjcB5/2URvhqy00PVv3bQ\n26WwedzlEccPcNtn31OsknBP6RnZ3zMyK8zMMhDMN6cf6bkXX2Dp2uUorXQoPhlNl1SSxnTDW1pN\n/foDpD48mMr52+I+04Y39rF1dX7M80Qj8J2z2Wz+BGLbyQRi5KBhPPLgyQSi8XesOdd5PvtBLubf\nldDyrk+r1ZKent70GwUCwQXNaa2MbNmyhcsuu4z3339f1OYKLloaKxppu6TGlistKEOu91A5fxu6\nrma0l7RC3zMdXWcz9rxSksf7A033DzXob+qG82AVtbkHTjYOd0xBpddiGntZo1UIS1B6V9+9dbA8\ny9A7k9qVxUg6dZOrHeAvw3LsPoqr0IKhd/RyMHUrA7XvfYu2Syopk/uiaig9kqudJE04WS4VQB3H\nUyMwmz331ZdY/L8luL+zIuk12PJKSK3zcN0tV0Ydc8AXw2qK3bSvNuqwJegwPjEUOydn6AOpQEBa\nNykpKawEKKy06qlrURt1GOduYUyUpCh0LJWFFtQphqgz+oH+mGgGf7bcEpJGd6N27f5mKUaFvqYy\naMPNLL0KmcmtY64GhB4/VFa51cMDseeW4i6twnf4BFVzt6Dvk4nX68Nb7wI5dmAvSRJezekH/80p\n6Todzx7xN0cgEAguLk4rGVEUhcsvv1z8URBc1ORt24T6V12pXb3HL4WrVeP633EcO38g+c7ewdUO\nZ6EF+8aDtP7TYCS9JqhOlTZjMOpWhrBeEtf+StwHrZga1ejXvPUVprGXBf004KTSlKQ5l8lPAAAg\nAElEQVSScH9nRdfFHGY2qDJo8Z1wxg10ZbcvuC35jt5Y//YZKKDvfTLhcRVacCwr5vabf87Ufz7I\n62++Qe7bG6hx2nHW2pF9Pgz3Xhn1HNE8NRqb9SmKgqaVAe2lfvngVh/HV7FKrPfgtjupenkbSKDL\nSgsmYeBXCWsqCTMkJ6IoSlj50sznZvGlqjAY+CqK0qQ6V5IC339QxB233saTMx6LSALi+W8EenTq\nD1Sx/nsrN0RJej49Uo03IQHLkYPIzx0Hr4wqSR923dI4DbqFe9jWaIUilimiy+XCcoUB14FKnO9/\nS/JtvUkaH6KeVmjBVWjBuuBzJLUq7vNTfvQ4g8ePZNSgYTzyxxmnvQIe6zM+FdUwgUAgEFycnFYy\ncvXVV3P48OEzPRaBoMWgKAoelUzNol1hvhfgX0WonPMZKqMOSSOh65GOOcSN3JiTCQrUbzlE8vie\nwV4SAMXpJemWXhE1+r4aZ5ifRiiBBurk8T2DKxFJ43qA14filWM2v7uKytF1Pdk0rTbqkMxGXIes\n2DaU+qV57W5MPh3b1m0kM9N/jNDZbIBrJozCFydgD/XUiGbW11q5zC9/nFuC5zsrNU5P3AC4TqOi\nzZPDw6SHQ5MwV1E5iscX9xit9IkR2/K3fxYW+EqSxAlv/ON4PWq+3fJl3CA8tD8m1LdD1ZAwydd3\nY8Y/dqAoCjd0DOlzOVTFI59/R+1N3cGmJ3lUFvpeGRHXnTikC2OvHRF2zlimiB8WfMOJZV+jTk9E\nY04g+fbekYaXDQmv48ujaFonxDUn1F6eiWtcj6AgQlPlYadCY9W1xoSqhomJL4FAILh4Oa1k5C9/\n+QsjR45k9erVjB8//kyPSSA46zQV4EiShK2iBuP1nYK+F4GSKl1XM0k396JuRREZfx0d9TgBM8LG\nqxN4ZfS9wk3jQgPXWGMJJDSBxMRZUIa2e2tceyqofb8AZCUoORx02c4vCfZ9BM6DSqLVTb3CPgN3\n0UkTvcbnBZp03g5VdopVdmPMyURCwrm3nOqKYzFXCj4+XIUj56QCU+i+ttwSdJ3N1G8oRZ/TJnYS\nVmDBVlPDoHEjgjP6iYmJEYGv7PRgdbhj+od8eqSaUTfd2mTw/cCvJ5N/61jUK4ppZdRywidT3y0N\nb60rWHLl+UN/pq0/wJPrviFZo6LWK1NprUe6ow+eH2owRWkiDyS10trDPPLJ22HnnPvKi9E/5z6Z\nOHanY7z6Euz5pVGTDAgxy7yrD9ULd/pXy0J6UwKqYKlT+jVZNnW6xFtVguh+LaeKSGQEAoGg5XPa\n0r5Tp05lwoQJ3H333YwePZr27dtHrZsGGDJkyGkPUCA4U8Qqa4lZfqKSqN9yKKKkylVcji2vBEnT\ndALhLLQEVycURUGVpI/YR5IkZHf8GfqwhEaCE+9/iypRT/ItvdBl+ftS7BsOgldGkRX0PdODKwkB\nQscSOC+Apmdr8v8duxwmnvO2q9ASpuzUlPxx7fJCvBmJzNjzQ9SVghl7jyI/2D/CACmwLxBMsKwL\ndyIpoA/tsSm0YN9YinlaP1x6TdiMfuPA15ZbgvbmXszYcBBFIXwsh6t45msLK+fOiHotAWw2GzPu\nv5cXL2/L6EtPNsmvP1TFQ1YHjv8dI+HKS/z34ZZe2AFbQ7JYt/Rb0i/PxPbZwdiSyzlt0G23RpS/\nldVWIWtAd7AqrIQNQK5xoM/OwLHlUJPPp6TXnOxNyT2A4vKhuL2gViEZNNhyS4LHP9NlUzabDZMu\ngdoCC4Yo8tHRVMOae9xT+p4LBAKB4LxyWsnIsGHDgn90Fy9ezDvvvBP3/T6f77QGJxCcKWKVtcQq\nP1EUBRkl6oy1oaFxu3ZZIbIsR03CFUXBZ3NTt3YvaVMHnnw9RnmRrqu5WeVWiqLgq3Zg+Fk79D3S\ngyU3yeN7An6lKesrn6PtlBrmLeEsKKN+48FgIC87PdhyS3CVVKHWa6iucjDzuVk8+lCkI3hjmVbf\nCSc1b32FXONEMmp427mHlWs+Qp9opMp5Ir78cYIO2Sfj/sMApn1SErZSUOX0oHv02rDAOnRfTevE\nMF8T85R+2BfsIvnzGqoddTjcjoiSOV12BuWyhX6jByOrJLQhgW+gp8PTMz1i1cLePQ2tOanJ4PVf\n81+M6iFyQ+fWLACmfLQHp04TturgKvIns2qTHqDJVTFZp6Kuro5bf3VH8Pk1hyTGoSVsiqKg0mtQ\nqVRNJ7gur18u2aDFNDoL60EriTd2xxi6wtbo+GeqbCrwfbRcYcC2sRRUUlTVsFP1EDnV77lAIBAI\nzj+nlYz86le/EkvfgguKU1XtkSQJt8eNqVfkagA0lLR8KOHdUxmxYiA7PZxY8i1ql4w+OYGaedvw\nebwoKglUUlQjQdPoLKoWbA/zGolWbuUstIBawl1cTquJORHjUht1mB+6hsoXNlP7QQEJCQm4PW4U\nnRq0Kr/yVb/21CzaiaTXogoYKf4skxXeb9h+z+2seHspSUlJJ8cW4vPwyT9yKT9+nOQ7+4SrfhVZ\nqMgvBXXsYFVRFBRZQXF5cO+txNiwUlDXkNDZ5m8jTR/9V5KiKPhqHGG+JpJeQ1pKKp8sWcXVIwdC\nogrvkRNY/7UzzBhSl5NBXX4J5t/1xbpwJ4rkv3+BJEBqtGoRlNf9z95g30ys33e7N29i9vD2Ubfd\n0CmNtK8PU/ad1a+IFVrmN7QLvlx/311TSYParcR8fg0himYBxTbZ5Q16nsTqB3EVWlClGoM/23JL\n4ibegT6l0LKpH5OUBK7HkJ2Brmfrk6phOjWy3U339I58eBqJw+mocwkEAoHg/HJaycibb755hoch\nEJxdmqvaE9qAbEiObIIOIEkSxlaJtP7CRmXDMSRJCq5MmG64DMO9/mA9oSFYt+eXkjLpSmre+irC\nSNC1vxK0KtylVdhzS/ylMipVsNxK0mtwFJRxYsk3JN3UE+dXx2KOTW3UoUrQkSTrUI3vginEv8H5\n9XGqX/3cn0xkhycTtSuLqdOo6T9hJKl6EyMHDg2ulARkWrd/sd1vsthY9SvQ15FfErchWnZ6/BLC\nq4qxfXoANH6HdsXtQ3H7Yjq+OwstaNolhzeyf11GqsbAz0b0R0nWgqyg6dAq6IESpjzWUJJkbihJ\nsq/fj1LvjQioQwPtsiPH6No/G51WT2pyK8YMGRFW6qMoConq+NK4KYqK6s5mksb1CJ7LU1xB5pdO\nrhp1I2uL98ZNGpwFZVT88AOLP14GWlXUsqxAH1Hw/qcYcRZaMI3OitoP4i4sx76sGLmV35NFn50R\nXCWKRuD4nuIKRvcbxDNzZv/oEqjQ76PKoA2u7AWSP/sb+05rBUOocwkEAsGFx2n3jLRk3G43Tz/9\nNO+88w7V1dX06dOHZ599llGjRsXdb8OGDbz77rts3bqVH374gczMTEaMGMFf//rXoNKQ4MKjKdUe\nxeWlstrKoHEjwgIsxRkZrIYeU3LJrFr1QdAZ2qNWKD90lKTbc2IG6/VbDgUDYtvH+5E0KlBJyDY3\nrR/2Gybacktw7a8AHzh2H8Wx+yjIIHllkm7qSeKAS3F8cST+CkSdC9WdPSJmiD1HTkR1bA80S7tL\nqkiUJDT7K/l63YeMf38pY26ewK8feJDX/28R+74/SMZ9I6N+jvrsDOo+2Y89rwTFJ4c11DsLyrB9\nvJ/Wj/j9PXwON8p/v8X0XTWpqWpO+BRqU41Uvv9tVMf3QImZ60CVv5G9fQqOVfuwTOxJavbQsLKi\nmkW7/CtJSlZwRj+wqhIIfJVxPaifsx1PcUXUXhhnoQX9lW1JGtcDV3E5ZXklLPd8HVbqI0kSdp8U\n9z7ok1Np+6WTAys2IRm1KA4P3Tp04aP/fojH42HnPbdjuSLFn0w0biJv+MzSnhh60jSzUdlU4P6p\ndGpkWcZdXIGvuh7b2n0w9jJSJvfFnlfq73GSJKQ6D3eMvZW89pX47umOLbeEutwD4JXjJlWSJJG6\n7QQ7VLuouibpR5VAxfs+Bl47nXIwoc4lEAgEFyY/OhmxWq3s3r2byspKOnbsyMCBA5ve6SwzadIk\nli9fzvTp08nKyuLNN9/kxhtvZNOmTXHH99hjj1FdXc1tt91Gt27dOHjwIK+++ipr167l66+/JiMj\nesmOoGUTT7VHdnqwLtyJ6cauuBoC4ECAVW+zo47Rx+EstICshBm7zXxuFourljUp0asafzIgrpy/\njfRpg6icv83vNxIiJRy6alH/QTGG5AQS+ncAiDub7i4sJ9FkCjq8B/pD3KVW5FoXSeMjZ44VRUGX\nZcbw32955druXHdj++D5Pz38PyZcN5y6CT3QtIkdbAaCVq/HR+3yIuwbDqLSqfHVONG0SyJt6kBU\nBi2y04Punzt5uWd7ruvf/WTT9/dWppXbObbka9Q6DVKCDhQF9Gp0HVOx/msnkk6Nr9yGobiOxNt6\nxS1bShrXw688VmhB3TaZiuc2YbiiHUk3dEdl0GLKSCF5h40KCHP/dhWVhylJBY7p/s5KRf+0sFKf\nq4YMI/fIl4y5NDXi8/j0SDXH7HZqR2ZgnnSyz66suIKbfjGRD99cEix/y9VZsa4ppe7DIkjQoHh8\naNslBz+zaNcXuprgrazH+srn6LqaSRzWFdumUpy7fsCxah+t22agTUhjxMChPNqwgvHZuBHIek3w\nGJUvb42bVBldKgZe25+1+r0/ugRKkiRUbvmMq2idC3UugUAgEJx5ostfNYOKigruvvtuMjMzuf76\n6/nlL3/Jv//97+D2f//735jNZrZu3XpGBtpcdu7cydKlS3n++ed5/vnn+e1vf0t+fj4dO3bk0Ucf\njbvvyy+/TElJCXPmzOG+++7j2WefZc2aNZSVlfHaa6+doysQnA1GDRqGp7gi4nVbbgmJI7sGZ/Gh\noVm6Z2tUZiP1+aU4Cy0nfUJCZE9N6a2Cr4O/REQy6ZpUMArtQ5B8Ct56F7quZk68V0DCyK7B8qnA\ne4w5mZgmZiNzsoTMNDoLe0OgLctycGzuonLSd9pJap3i7x9weqheuBNdFzPmh65B0zrhZE+E00Pt\n6j1Uzt9G9es7cD+/mVcHdeP6BlWpwPmv65TGvGs6o/rsIL4KO9bXd1A5fxu1q/cgOz3B61MUBdnu\npvUfBqBOMf5/9s47QKry7OK/O313ZtvsLkWQLmUpIsqCgPReFAUsSYz5ki+gsQEGo1GJmhgLKsUW\n4Es00cSKgkhRKStVICCyTWCXDltntszMTr/3+2P2DjM7ZddlUdR7/lFm7tz73veWfZ73ec45pN8/\nhLS7BiEkakm9Y0AwqFZtPMriXu0jjjOpYzqLr+pEqlZD5p/GYJx0BaLDE5BD7p5B+v1DSP/dYDL/\nNIZawRVMthpCbjsKJEfg2FxE6m39SJ7VF7HGRdXyvfidHrR+FavffJ/p9MOw8jDWRTuwLN2F57g1\nQolM3qc2K5PNO3OCn9859wGWnvby6Slr2D3y6Skr83cWc0blxrHtOJalu6hdW4jk9qHr3Yqyawws\nenmxPHFIEiT7RS53++nrkejg8JGWkkA0yGOR4ckrJ1GjI0HQ4T1Yhu/zE1yWYObng6by9eYv+fKj\nzexYu5knH14YrFzIz4M8Zl23dNwF5VGP5y2oYOaU6Xyxb2fMOW84L9Fgt9v509NPMnTqaKrddiyL\ntkfcQ/LxxjZDRQtiP+cXul8FChQoUHDx0KzKiNVqZciQIRQXF9O/f3+GDh3KK6+8ErbNTTfdxF13\n3cUHH3zAsGHDWmSwTcEHH3yARqPht7/9bfAzvV7Pb37zGx555BHOnj1Lu3btov422jivu+46zGYz\nhYWFF23MCi4+GipCBfvnCyuCvfKhFQSVTo1Y6yb9weuCbS6hBOTU2QPR/qs4jGMg6lRItU2X6JUJ\n3Za/fkFmu7ZUllZh+NWAqOPX9WlF7ao83It3oNJr8Du9pADJ7+eRolZR4/FTLYpMnXUrj7z1Bybc\nej1uSQokWyHEZJksLbl9VC3fS+LwzoFV/2NW0vwwoVOk9wcEZG9TD55Eu3B0TKUlV14Z2stTqF6x\nD23HVNwF5eizWkWoRSUesTBhcgzSd8d00nYX4wQS+7YNeJPsPxtRAVI1IekTRRHR4SF9/jBUBu15\nb42x3ah9J5dMfcBb5ImHHuNx6VEG3zgG8Te94u4TwluITCYTK97+gOVLX2RZzlYSVRIOP5y22ai9\nsQcZAy6LOl+arEw+fW0TO/fspuwqA4l1VSy9qj0TOpjDKkXzX9mD9+5BYYlR6Pn5Citpta+O1Z/v\nxGg0Bn8bb/Xfbrfj9XixrytA2qxD8otoO6Vh+/QIkiiFtcjJqla//9dcPt2T06QWqFjHDFW5MoZw\nqazL92Ku50U1V0VLRqzn/EL3q0CBAgUKLh6alYw89dRTFBcXs3DhQh5//HGAiGTEbDbTr18/vvji\niwse5LfBwYMH6d69e0TvcnZ2dvD7WMlINDgcDux2OxkZkaZoCn44CFWE2rwyB58W1B6JBENCWAUh\ntEWq9uNCPMXWsHYYORjz5JeHrbLKLSK6LnEUjBo4orvzy9H3ysTQJZ3J/t58sOWT+H37Jh3m+4eA\nx4/m5T0syWrHhA7nvTE+O2Vl2b59wHlvkIbEZLm9y3PMSuLwztRtO45xbDdMU3uQtnh33OOnJGhx\nhPw7tGVINiNMm5ONp8iK+2gljnoehKzuJAgCoiiSolbFP45WjbP+33IC0XCbpviyeAoq0PdtE8Gt\n0GVlUvthHuemXcb0EK6DxgfuRvYJRLT6mEwmHnhkITyyEEmSePyZP1Mg5JLQiPJVuaUS502tMByt\nZElWoFIUuv2kjulIksTcjUdhelbYWHwVDgz/dyRAHn9zXtj7rrFERE4K0h4N4drkleE7WEabvXXU\n7SpE1KnQeGFKyP4vpAUqrhmmBI6l+8hIM4cdrzmI9pw3PA8FChQoUHBpoVnJyOrVq+nevXswEYmF\nrl27kpOT05xDNBslJSW0bds24vO2bdsiSRLnzp37VvtbvHgxXq+XW2+9taWGqOB7Qii/Q/YHGTp1\ndNQKAoBp/Hk1otDVYk9eORl77Cz4d/gq69ihI/nQezAYhDd0tHZsKcY8J/u818RnR9B2NlP72RHe\n8n6D3+HBGC8YdngCniYbv4kavE7omA6ClZeffxaPIFG7Ohch3RAeONcrLIluP0iEnXONX4wb4NdE\nITk3NCNUGbRBboz5zgBR31fjwv/3/SRbnaSoVdisdfzly2LuH9CRJJ0m8jghYwhtbQs9dlwFqrwy\nVCmGqA70osePSqVCnW5E378NFbqKINchrrljfSLZmBGfIAh8tmMr2jnRKyzy3EiShN/vQ5uVSeK6\nw3ErRY+s/zqYBMrnl6g1sHPt5pjjiIWYEsF92wSeB/rxxEOPRb0P4s1PY/MS1wyzT2uSd1ezoxnn\nEw2hz7lCVlegQIGCSx/N4oycPXuWK6+8stHtBEGgtra2OYdoNpxOJ3q9PuJzg8EQ/L6p2LZtG08+\n+SS33HILI0aMaLExKvh+IPesXztlFH3GD6JLdhbnzpXgzi3DU2xF38BTRGXQkjYnG++JKir+vAXr\nq19iWbqLuv1noraj/P6eebT+yoVxeBc8x61Ylu7C8uqXVC7aTu27h5B8ItX/2I9l6S7cRytBEAJc\niLlDyXhwOAlXt8OVXxZ17O78ctCokCQp0ObUwRx1u/GXp/HZmlWs1x8m7eHrEB2esLGqDFpSZw9E\n0KjwHAs/57ru6Ww8ZY22WzactFDXPXoLl2xGKJvuyQmEoNdgGteNy4x6Xm2TzleTr+SLif3Yf9sg\nBrZJ4efrc7F5fOHHOWHB2ff8mELN+UJhGtcN+6YinIdKwrgazkMl1L6fi+dkVQTvQ04oJElC8gba\n5UK5DgvunU/6bhvu3EiOkH1zQMErc4+DBffEbvWRJIkat73RFjJnbimqBB1Ao5WiZHXgusvnZ19/\nmOmTpsUcQzxs2pnTJN5HtPEsuHc+mXscePLLw+bHk18ed16aonLlj9PidSFQEhEFChQouPTRrMpI\ncnIyJSUljW5XXFxMZmb0P3wXCwkJCbjd7ojPXS5X8Pum4JtvvuGmm26iX79+rFy5skXHqOC7R1jP\n+pxe53vWD5ZQ/f4hNBnRPUVkKVjf6RpS78wOuq1b8wPqQQvumceil14M+i4IHpHLvlZhc4qIKemo\nPRJjp4zis+1b8NavlguCQO3aQkzjr2hSJcadX459cxGCIfC4Nha8JmoFqrukok7Qoe/bJqKCoE7Q\nIQmRzt/ixCuY/8oeJEliUsfz7V8bTliY/81ZxHsGoSKcWyPo1PgrHFiW7ULyiagTtIhuH36bOyCl\nu/FooIrTKSNsjBM6ZSAByw6c5JHBXQPHOWlhfuEZpHsHI4/Kk1eOOi3ymVUZtCQO64Rj6zEcW44h\nCOCvcaHv25rMP44MzGM9x6OheWRou1xDroMkSdTtP4Nt09FAi5ndDYKAWlIxjT788c0H47b6CIKA\nq9ZBYpwKk9/uoW7rMQR3oO2rsYpUlbWOqtf24LPUIUkSXdp04JH5f4g5hli4UOnb5rZAKSpXChQo\nUKAgHpqVjAwcOJAtW7Zw/PhxOnfuHHWbr7/+moMHDzJz5swLGuC3Rdu2baO2YsnJ02WXXdboPk6f\nPs348eNJS0tj3bp1GI3GRn/z9ttv8/bbb4d91qVLF5YsWUJycvJFWfVrKWi1Wszm6CvtP3TI5/bX\nF5+L3p7Svy1IYFtb2CgHQU5EILCK/MGij9i1dzfl2cag74IkSZTmV9Bmv8Dm1RtITk4G4PePPsR7\nBf9F2zuQnEczmZMrMfbPi7B9lI8mwxgkzCcO64TvXC2CIFDji8+XqBWg6m97Md81KKbxnTrFgL/C\nEbYflUGL9+5BzN14lEfWf43J6cOmEbB4fUjTepFYL8vbkFsjyw87NheT+uurEfQaXHkBYvLltR4m\n3Hh11GszoWM6f9xVxGdVDqqsDhxdzXDPINT1FRZfQSWt/+tEksxU5legycoIS9CcOwKeLXJFxp1f\njue4FUGvQVXro/LPW1GnGpAkgqIDniJrWPuWJElo/SrS09N5evEirEOSSevdLfidfDxfQSVJ+iQ6\ndOgQ936TJAm9Th/XxNBvc5M6tg8d8v2cLagMVqQmdYysPG04acE1sB2p1/fEunQXRp+WnRu3kpSU\nFHccsaAVVXGTAnkuYsFsNvPSc4uD20fbT7T3yZTRE8Pu/1D4CiqZMWbSD+Id9GN+V8Kld37y/TV3\n7lyOHTsW9t1tt93Gbbfd9n0MS4ECBS2MZiUj9957Lxs2bODGG2/k7bffplev8P7ooqIibr/9diRJ\n4p577mmRgTYV/fv3JycnB7vdHrZS9+WXXyIIAv3794/7e6vVyvjx4/H5fOTk5NC6dXTPiIaI92Ks\nra3F6/VG/e5SgNlsxmqN3p7zQ4d8buu2bAz2rEeoZrl9iF4/zq/OkTggUtygIfEcAn8k7W4npdck\nYOjdCtHlxRayzyN2D2NumMiqf76DyWTivtm/Y8vtsygT/eh6RypMyZArMd76SowgCIE2ofWHSb8/\n4JFTrVOx8ZSFSR0jRRU2nLTg7NMKY5c0bBuPkDK9N2lzsrFtPELth3moUgwggbZjKp5jVlwNfFRU\nBi1Mz6Iyt5QTm4swz8mm5pltCB/mI2hVeE9UR3BrgkRkhCA5O6FvGyRRJPmjb+KuxCelJ1I0pjO+\nY1UIGhXul74kUZ+AOSGJKaMncu+/7gIIrsaX1FQiagV0Xc0Rxn8yH8OdW4bX70OVrEeUJCS7F+8x\nK1XLrRG/8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xTFJhH+bTYbT73wLOu3fhom6/zWa//gtTdWRgTVngFu1usPk9a7R8R8W/MD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\nlTh27BheffVVqUPUmbS0NLRp0wYymQyOjo44c+aM1CFVy08//QQ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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from pymks.tools import draw_components_scatter\n", "\n", "\n", "draw_components_scatter([model.reduced_fit_data[:, :2], \n", " model.reduced_predict_data[:, :2]],\n", " ['Training Data', 'Test Data'],\n", " legend_outside=True)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The predicted data seems to be reasonably similar to the data we used to fit the model\n", "with. Now let's look at the score value for the predicted data.\n" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "R-squared True\n" ] } ], "source": [ "from sklearn.metrics import r2_score\n", "print('R-squared', np.allclose(model.score(X_new, y_new), 1, rtol=1e-2))\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Looks pretty good. Let's print out one actual and predicted stress value for each of the 6 microstructure types to see how they compare.\n" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Actual Stress [ 0.2530431 0.22299453 0.25053209 0.24884992 0.24404828 0.24893845]\n", "Predicted Stress [ 0.25294285 0.22278426 0.25074499 0.24862838 0.24404953 0.24886023]\n" ] } ], "source": [ "#PYTEST_VALIDATE_IGNORE_OUTPUT\n", "\n", "print('Actual Stress ', y_new[::20])\n", "print('Predicted Stress', y_predict[::20])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Lastly, we can also evaluate our prediction by looking at a goodness-of-fit plot. We\n", "can do this by importing `draw_goodness_of_fit` from `pymks.tools`.\n" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "image/png": 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OagUM0lLetIwxqOVX7Ru6Nq5ZGebm5qUeu3XrFjw8PJCcnFxqfbOzs8t9LVNT\nU6Xpurq6YIwhLy+vWspKSUkBADRr1kxpnrLaoLLS09MBQGFK/8aNG7Fx40alA8UZYxVq1+I8P/74\nI/bu3Vvqa9XQB4oS8i4ymQz/+9//8OuvvyI3NxcAwHLySw186trP85pGj9JU1ACXviiISVV6rCAm\nFQN69qsX13xfxQOt31ZYWIjp06cjJSUFX3zxBUJCQvDvv//i6dOnePr0KaZNmwagYlNXq3Kxxrq6\n8OPb7t69C47jYGdnx6dduHABa9euhZ6eHrZu3YqoqCg8fvyYb9vi4K4ifH19sXfvXrRo0QLe3t64\nceMG4uPj8fTpU9y5c6eqb4uQeufRo0cYPXo0li1bxgdFAFCYnY/cOylK89S1n+c1TTV+ChMF3387\nB8aR2ciPfs7/smGMIT/6OYwjs/H9N1W/AGJtXLOq3blzB8+ePUOPHj2wZMkStG7dGlpaWvzxhISE\nWqxdxTRtWjQ+IDExUenx0tIrq6CggB/X06NHDz799OnT4DgOS5cuxfDhw2FmZsaP8UpPT3+vnp3i\nMtevX4+BAwfCyMgIampqAIAnT55Uwd0QUj8VjyUaOHCg0nGOFkZmaByWptI/z6sLBUYqSldXF357\nD2EEnKC58wHUdt2H5s4HGAGnaptmWRvXrGrFg4WVPbJ68eIFLl++XNNVem9dunQBYwyBgYFKj584\ncaJausJXr16NFy9eoGXLlnB1deXTy2pbf39/pWUVT90vbT2i9ymTkIautF6iYh4eHjh37hyCjpxU\n6Z/n1YXGGKkwXV1dLFuwBMuwpMYGydXGNatS8SDm0NBQPHv2jB+Hk5OTg3nz5iksQlhZVT3Oq6T+\n/fujWbNmuHv3Lnx8fORmpu3atYt/3FVVkpOTsW7dOvj6+kIkEmHDhg1y5VtbW4MxBl9fX3Tv3p1/\nLHj37l2sW7dOaZnFvV5xcXFKj1tbW+PatWvYt28ffvzxRz49LCwMu3btUrn3HyHVSdlYopKsrKyw\nfv16ODs782mq/PO8ulBgVE/Uxhu6Nq5Z2WXrLSwsMGLECBw/fhz9+vWDi4sLhEIhIiMjoa6ujhEj\nRuDYsWNVVNuqXWb/7bKEQiE2bNiAyZMnY/HixTh06BCsra0RFxeHmJgYTJkyBbt371aY6l4eixcv\n5jeRzc7ORnx8PB48eADGGCwsLLBp0yZ07txZLs/HH3+MXbt24fjx47h58yacnJzw4sULREZGYsyY\nMQgKCkI2+HJtAAAgAElEQVR+fr5cnlatWsHKygoREREYPnw4bGxsoKamhmHDhqF3797w9PSEv78/\ntm3bhnPnzqF169Z49uwZrl27hi+//BK///57xRuSkHqo5IwzZTw8PLBgwQKF5TSKUVD0Bj1KIyql\nPB/eslaWBoBNmzZhwYIF/OKC165dw8CBA3Hq1CmYmJiUOYW1ovWp7rJcXFxw7Ngx9OvXD48fP8bZ\ns2fRqFEjHDx4EPb29gAUZ46Vh7+/Pw4fPgw/Pz9ERERAJpNhxIgR2Lp1K8LDw5VuHtu0aVOcPn0a\nH374ISQSCYKDg5Geno6lS5fyPUZv3wPHcdi9ezdcXV0RFxeHw4cP48CBA7h37x4AoG3btggICED/\n/v2RmpqKkJAQSKVSbNq0qcY3EiakLioeS+Tm5qY0KLKyssKRI0fg5eVValBE5HGMdo6rEampqfxa\nOWUxNDTkp0ITUhnffvst/Pz8sHv3bvTv37+2q1Mn1OXPV12uW02idnjjXW1R2V4iVSAUCsu9c0BV\nUakeo/z8fMyfPx/m5ubQ1taGs7MzQkJC3pnv3Llz8PDwQOvWraGjowMbGxt4enoiOTlZ7ryEhAQI\nBIJSv7744ovqujVC3ktaWprS2WcHDx6En58fTExM0Lt371qoGSGkulAvUfVSqTFGU6ZMwdGjRzF7\n9mzY2trCx8cHQ4cORWhoqNy04bfNnz8fGRkZGDt2LOzs7PDo0SNs2bIFAQEBuHnzJkxMivaKMTY2\nxr59+xTynzp1Cvv378egQYOq7d4IeR8xMTGYNGkS2rZtC0tLSxQWFuLBgweIj4+HhoYGVq9erXRb\nFEKIamoIvUS1TWUepUVFRcHZ2Rnr1q3jxxbk5eXB0dERTZs2RXh4eKl5w8PD0bNnT7m0CxcuoE+f\nPli8eDG8vLzKvPbAgQNx9epVpKSk8NOLK4oepZHqkJSUhM2bNyMiIgKpqamQSCQwNDREt27d8NVX\nX8HR0bG2q1in1OXPV12uW02idnijZFu8z4yz+qA2HqWpzJ+Shw8fhrq6Or8zN1C0urGHhwcWLVok\nN/X6bW8HRUDRDuuGhob8IM/SJCcn459//sHUqVPfOygipLqYmZlh1apVtV0NQkg1elcv0WeffYaF\nCxdSL1EVUZnA6ObNm2jVqpXColNdu3blj1dkb6js7GyIxWIYGRmVeZ6vry8YY/j4448rXmlCCCHk\nPRWPJWpovUS1TWUCo6SkJJiZmSmkm5mZgTFW4e0PNmzYgIKCAkyYMKHM8/766y+YmZmhX7+Gu28M\nIYSQmhUXF4f58+cjIiJC6XEaS1R9VCYwkkgkSjcG1dTU5I+XV1hYGLy8vDB+/Hj06dOn1PMePnyI\n69evY+7cuRWvMCGEEFJBDXUsUV2iMoGRlpYW8vLyFNKL3zglNwIty/379zFq1Cg4OTlh586dZZ67\nb98+cByHSZMmVbzChBBCSAXQjLO6QWUCIzMzM6WPy5KSkgAAzZo1e2cZT58+hZubGwwMDBAQEAAd\nHZ0yz/f19UXr1q3RsWPHctXR19cXvr6+cmnW1tbYuHEjGjduXK7tIYr3lyKEVD2BQABDQ8ParoZS\nQqGwztatJjXEdpDJZPjtt9/w008/Ke0latmyJXbs2KF0IlF9V7xa/qxZs/Do0SO5YxMnTsTEiROr\n/JoqExh16NABoaGhEIvFcgOwL1++DI7j0KFDhzLzp6enw83NDVKpFKGhofzmlaWJjIxEbGwsVqxY\nUe46lvUivXr1qtzT9Qkh1aOwsLDOTgWnaepFGlo7VGTGWUNql2LF0/U3btxYY9dUme6JMWPGQCqV\nYseOHXxafn4+fHx84OzszM9IS05OxoMHDyCTyfjzcnJyMGTIECQlJSEwMJDfYb0s+/fvB8dx1RKN\nEkIIadjKs3p1cHAwli9fTo/OapjK9Bh17doVY8eOxcKFC5GSksKvfJ2QkIBdu3bx5y1YsAB79uxB\nfHw8LC0tAQCTJk3ClStX4OHhgejoaERHR/Pn6+rqYvjw4XLXKiwsxKFDh+Ds7IyWLVvWzA0SQghp\nEMo7lsjCwqJB9hLVNpUJjABg7969WLJkCfbt24eMjAw4OTkhICAALi4u/DkcxymM07l16xY4joO3\ntze8vb3ljllZWSkERiEhIXj+/DmWLFlSfTdDCCGkQaEZZ6pBZbYEUXW0JUjFWFhYVOj85s2bl7re\nR13h6emJU6dO8f/nOA66urrQ19eHvb09nJ2dMWbMGBpnVo3q8uerLtetJtXXdnif1avra1tUBG0J\nQshr48aNU0iLiopCQkIC2rZtCwcHB7ljTZo0qZF6eXl5YceOHdixYweGDh1aobwcx4HjOHTv3p0P\n/HJycpCcnIywsDAEBQXh119/xaJFi/DZZ59Vuq45OTlo1aoV2rRpg5CQkEqXRwipuPL0Eq1btw7d\nu3evhdoRZSgwInXS+vXrFdJmz56NhIQEDB48mN9IuKYVBzeVMXXqVIWgSiKRYM+ePVi9ejWWLl2K\nnJwcfPPNN5W6DiGkdtEeZ6pJZWalEVIXVNeTZy0tLXzxxRfYuXMnOI7DmjVrEB8fX6ky6Sk5ITWP\nMVauGWeHDx+mGWd1FPUY1ROMsUr3ZKjCNcvr3r172LZtGyIiIpCWlgYDAwO4uLhg9uzZSpdrOH36\nNP73v/8hLi4OmZmZMDAwQIsWLdC/f398/fXXAABHR0e8fPkSHMdh+vTpcvlPnTqFdu3aVbre/fv3\nx6BBg3DmzBn4+Pjg559/5o/FxsbiyJEjuHDhAv777z+8evUKRkZG6NWrF2bNmoXmzZvz5/r4+GDx\n4sXgOA7379+XG7M1YMAA+Pj4ACiamHDs2DFERETg2bNnkEgkMDU1haurK2bOnFljjygJUWVisRhr\ntqxHyMVQ5AlkyExOgyQ9CyxXqnAurV5d91FgpMLEYjG2b1yHa2Gh0FFjyJZx6Ny7L76cNVduEUxV\nv2ZF+fn5Yfbs2ZBKpXByckKXLl3w9OlT+Pn5ISQkBAcOHED79u3583/77TesWrUKGhoa6NKlC0xM\nTPDixQv8+++/2LRpEx8YjRo1CpcuXcKDBw/Qo0cPPtjgOK5KB0x/9NFHOH36NC5duiSX7uPjg717\n96JNmzbo1KkT1NXV8eDBAxw8eBCnT5/GyZMn+eUlbG1tMWrUKBw9ehR6enoYNGgQX07J8Vnr16/H\nhQsX0LZtW3Tv3h2FhYWIjo6Gt7c3goODERgYCAMDgyq7N0LqE8YYsrOzMeLTcUjtpgPh9DbgOA56\njEF0JwWZf91AYWbRVlY040x1UGCkosRiMaZPHIOZFurw6mcBjuPAGEPw06uYPnEMdvgervJApTau\nWVGxsbGYO3cudHR0sGvXLnTp0oU/dubMGXh6euK7777D+fPn+fTff/8dQqEQZ86cgZ2dnVx5kZGR\n/PdeXl5Yvnw5Hjx4oHScUFUpDlxiY2Pl0ocPH44ZM2bAzMxMLr24d2j58uX8chQ9e/ZEp06dcPTo\nUZiZmSkdswUUzZTbuHGjXPBTWFiIX3/9Fdu2bcOGDRvg5eVVlbdHiEor2TskE3LIevESeSZC6NlY\n8D3oHMdBy8kUQAe83HUNn02aQr1EKoTGGKmo7RvXYaaFOtysDOU+jG6WBviuuTr+2KT8F6GqXbOi\ntm/fjvz8fPz8889yQREADBo0COPGjcOjR49w4cIFAEUzRl69egVjY2OFoAgAunXrViP1Lqm496mg\noAASiYRP79Kli0JQBBQN5m7bti1CQ0PLtSREST179lToERIIBFi4cCEaN26MoKCg97gDQuonsViM\nEZ+Ogx93B3nT20D2WRtofd8Nmh+YI+OPKBTmyn/+NNuZwtS6Oby8vCgoUiHUY6SiroWFwquf8rV+\n3JobYHPoP8CipSp/zYoKCwuDQCCQe3RUUpcuXXDgwAHcvHkTvXr1gpqaGuzt7RETE4NFixZh2rRp\nsLW1reFayys5aPrtMVxZWVkIDg5GTEwMMjMzIZUWjWHIzMxEQUEB/vvvvwqv1p6WloagoCA8ePAA\nYrEYMpmMHz/27NkzFBQUQCgUVv7GCFFxK9f9iuddtSFyMOHTOI6DlqMpOHAQB8ei8TB7uWNquqI6\nPR6TKKLASAUxxqCjVvoHjeM4aAtYlX4Ya+OaFVVYWIikpCQAgL29fanncRwnt2ja6tWr4enpiT17\n9mD37t1o2rQpunfvDnd3dwwePLjG76e4bhoaGtDU1OTTz549i++++w6ZmZml1ik7O7tC1zpw4AAW\nL16MvLw8hWPFr2V2djb09fUrVC4h9UlWVhZWrV+Nv/wPwfgnV6XniBxMIA6Rf/zNGINaPgVFqoYC\nIxXEcRyyZVypQQhjRYOiq/LDWBvXrKjCwkIwxiAUCjFy5Mgyz3VycuK/b9++PcLCwnDu3Dn8888/\nuHTpEo4fPw4/Pz/07NkTvr6+NXpfxXv5tWrVik97+fIlZsyYAYlEgoULF2LIkCFo1qwZHzhNmzYN\nISEhFZqiHxsbi/nz50NDQwO//PILevfujaZNm0JDQwNA0ey1Bw8e0LR/0iAVjyUKCjuHlOcp0Bpl\nDzUT3TL/OBRoqMn9jCyISYV7z341WW1SBSgwUlGde/dF8NOrcLNUnDEU9DQDH/Sp+g9jbVyzItTV\n1WFsbIy0tDSsWrUKIpGo3Hk1NTUxdOhQfkB1TEwMvvrqK1y8eBFHjx7F6NGjq6vaCo4fPw6O4+T2\nAAwPD4dYLMaECRMwY8YMhTxPnjyp8HVCQkJQWFiIGTNm4OOPP1Y4/vTp0wqXSUh9UDyWKLWbDnIt\nBNDu3RZajqbIOfeozD8OC/Ok/KSUgphUGEdm4/u9tbMYLXl/NPhaRX05ay42PS3AmSfp/F/0jDGc\neZKOzU9l+GLmnHpxzYrq1atXUZ3OnKlUOW3btsXHH38MxhgePHjApxePtSke21PVzp49i+DgYKip\nqWHKlCl8emZmJgDA1NRUIc+9e/fw8OFDhfR31fXly5cAoHRA99mzZyv8WI6Q+mLNlvVI6aiJ3Edp\nyL2RiJyweLzYeBHggNybSUrz5N5JhlauAGq77kNz5wOMgBP89h6q9Zm6pOKox0hF6erqYofvYfyx\naT02h/4DbQFDTiGHzr37YcfqOdXyYayNa1bUjBkzcPLkSSxevBg6OjpwdZUfD5Cbm4szZ86gV69e\nMDQ0xMuXL3HixAmMHDlSrv4ymQznz58Hx3Fo1qwZn25qagrGGOLi4qq03hKJBLt378aaNWsAAAsX\nLpRbsLF4UcoTJ07A09MTenp6AIrGI33//fdKH3cJhUIYGBggMTERubm5cuOVistkjOHvv//GiBEj\n+B62J0+eYOnSpTQugjQ4xY/P9hzxBfRE0Blgg0YftuF7gXKjU/Dq0B2AAZodzd6k301BzpF7uB12\nBTo6OvTZUXEcowEENSI1NbVcU6nfdzflhrDy9ezZs/H3339j7ty5Ze6V5u/vj9mzZyMvLw82Njaw\ntbWFpqYmEhMTcefOHeTl5SE8PBxWVlZISkpCly5dIBKJ0K5dO1hYWCAvLw/Xr1/H8+fPYWtri4CA\nAH6qbUJCAvr27QvGGPr06QMTk6LZKbNmzYK5uXmZ9Z8+fToCAwPlNpGVSCRITk7m66WlpYXFixfL\n9RYVGzFiBK5duwZ9fX04OztDJpMhIiIC5ubmMDMzQ2hoKAIDA+VW4J47dy4OHToEKysrdOrUCSKR\nCG3btsW0adMgkUgwYMAAPHnyBE2bNkXnzp2Rk5ODS5cuoWvXrkhPT0dMTAxu375dbxZ5rMu7ldfl\nutWk2moHsViMDyeOwn/CV8iLS4PeeCdotVPsoZXcSUb2uTiAAZyGGmQvsiG01MfY9gOxaunyKq0T\nvSeK/sAzNjau0WtSj1E9URt/odTVa3700UdwdHTEjh07EB4ejtDQUIhEIjRt2hTu7u5wd3fne2Oa\nNGmCFStWIDw8HPfu3UN0dDREIhEsLCzg4eGByZMny60/YmVlhR07dmDr1q24fPkycnJyAACTJ09+\nZ2BUXP/Lly/z3+vo6MDAwAB9+/ZFjx49MHr06FJngPn6+mL9+vU4deoUzp07BxMTE4wfPx7z5s3D\nnDnKH2MuW7YMQqEQZ8+ehb+/P2QyGVxdXTFt2jRoaWnhxIkT+OWXXxAWFoaQkBCYm5tjxowZ+Pbb\nbzF8+HD6y5fUe1lZWVi7dQP+DvBDDvIBjgOnoQYNW+Wr2Ws6NkX22TgYzXJBzu0k5F1PRItCQyya\nM7+Ga06qC/UY1ZDq7jEihLxbXf581eW61aSaaIfiR2Znws7ieVY6CjlA1MYYum624ETqyL2Tgpx/\n4mDwRVcINBXX8ErbdhnaPa0gOXIP40aMwaI586tlKAG9J6jHiBBCCKlWWVlZGDZpNNK6N4LoKwc0\neT1OKC/mOTL+iILBF12LtvPgoLBgI/B6AdY0CUYLOuD7sD11YmwlqVoUGBFCCKnXSu5vlpr+Ahru\ndnLjhziOg6ZDU4C9CYaKH5m9rSAmFZ+OmohlC5bU5C2QGkTT9QkhhNRbxWsSHS24iVRThrz8fGi2\na6r0XJGDCfLjih5dcRwHjitaOBYo6inKj35etDbRN7Q2UX1GPUaEEELqrf9b9wviWRryj7+EmoEW\nwHHIOnkfugNtFcYPlVy9GgAKs/ORvjkCHAdo5gkw1n0kvt87mx6f1XMUGBFCCKmXkpOTsf/IQXB6\nmlA30QXLl0GzgxnUzRvz44lKBkeMMRTmy8BxHHLvpkDUzhSiFoZocjkLJ/yOUEDUQFBgRAghpN4R\ni8VwG/MhGk10gqZDU34xxryY58gOiYV2r5YKg6vzop9Dw8YQkttJEB+ORjMzMwy0bo/v91MvUUNC\ngREhhJB6Z/XmdWBDraDlqHyQdf7jdH48EWMMuXeSi1a11lCDKPoVIgJDlW6XQ+o/CowIIYTUC2Kx\nGKs3r8PZS+eR+DwZTRb3VXqeyMEE4pBYsHwZXvwWgcK0HKg314esQIZJw0bjpwWLqYeoAaPAiBBC\niEoTi8X4+Zfl+DvwONQMNVEoKwSnIyx15Xbu9erWjDFo92qB3GvPII1Nw+mDx+W21CENE03XJ4QQ\nopLEYjFm/jAH9s4dcPh8INSa6oAxQGRrBFYgU7q5MvB6kLU4H2r6msg6eActCw0RGXSBgiICgHqM\nCCGEqKC4uDgMHOWOAiaF3qT20HSUH2CdeysRuXdTlG4Em3s3BbKXEuhK1XEx6AJMTRXPIQ0XBUZ1\nTGFhIQwNlW9eWB8IBAJ+wbSGjNqhSE23A7V5/ZCUlATXUUOhZmMAvS7mSgdYszwZso7HAIxBs50p\nHzTl3kmG+NBdjB8+Bj/TWCKiBAVGdczLly9ruwrVijZFLELtUITagZSXWCzGynW/4nhIILKyxWg8\n3hHZZ+OKZpkpodnRDOJ/4pB14j6yzz2CoIDBVM8I7j364PuLtMcZKR0FRoQQQuq0rKwsDJs4Ck/V\nMiGTSgABB5GDCSQX4sscYC3QEqJQwEG3vw1GCtrDa+HSGq45UUUUGBFCCKlzSm78miZ+iZyMLDQe\n7wSRgwlebo8qegybXzTAWllwxA+wNtYBdyoBP5zeXQt3QVSRSs1Ky8/Px/z582Fubg5tbW04Ozsj\nJCTknfnOnTsHDw8PtG7dGjo6OrCxsYGnpyeSk5OVnl9QUICVK1fC3t4eWlpaMDU1xYcffojExMSq\nviVCCCFvSU5OhvPAXth3JRDPsl9AkpuLxuOdoNXOVC4g0rAxRF7Mc6Vl5N5NgSxDAu2kfAQdPkmP\nzki5qVSP0ZQpU3D06FHMnj0btra28PHxwdChQxEaGooePXqUmm/+/PnIyMjA2LFjYWdnh0ePHmHL\nli0ICAjAzZs3YWJiwp8rlUoxdOhQXL58GZ6ennByckJGRgYiIyORmZmJZs2a1cStEkJIg5SVlQXX\njwYhS5oLQaoUAl0NyLLyoen4ZixRcUCkO9AWGX9EAaxo0caSA6wzD9zGKPfh+L8lyygoIhWiMoFR\nVFQUDh48iHXr1mH27NkAgE8//RSOjo744YcfEB4eXmreDRs2oGfPnnJpgwYNQp8+fbB161Z4eXnx\n6evXr8eFCxdw8eJFdO7cuXpuhhBCiAKxWIxRn47Hq9wc6L3e4wwA0n+PlHtc9iYgsoX+9C7IDomD\nOCQW4ABZugQ2zSwREhxO0/DJe1GZR2mHDx+Guro6PD09+TSRSAQPDw9ERETg2bNnpeZ9OygCgF69\nesHQ0BD37t3j0xhj2Lx5M0aNGoXOnTtDJpNBIpFU7Y0QQgiRk5ycjIEjhsKhT2fcT4hF43HtoOVY\nNMWe4ziwfPnFGgWaQhh80RX5j9OR8ccV5N17DtlLCewamyMq8Dz+ORlMQRF5byoTGN28eROtWrVS\n6BLt2rUrf7wisrOzIRaLYWRkxKfFxMQgMTER7dq1w/Tp06GjowMdHR20b98eoaGhlb4HQggh8pKT\nk9HT3RX/tVeHqFMzcAIOkosJeLHxIl6duIfC3AKlY4kEmkI0HmYP3QG2EBjpoLWlDYKOBlBARCpN\nZR6lJSUlKd3p2MzMDIyxCg+M3rBhAwoKCjBhwgQ+7eHDhwCKHqc1adIEO3fuBGMMK1euxJAhQ3Dl\nyhU4OjpW7kYIIYQAKAqKXAb3Q54sH3nH7kFvghMaD7OXW8E6448o6E3phMzd1xXHEt1NgTjwAdTE\nMuw9fby2b4fUEyoTGEkkEohEIoV0TU1N/nh5hYWFwcvLC+PHj0efPn34dLFYzP9769YtfqB1v379\nYGtri9WrV2PPnj2VuQ1CCGnwxGIxfly2BEcDj4NTU4PIzhhapaxgDQbkXIiHwRddIQ6Oxasjd8GJ\n1MDyZIC0EHYtbLDv8C7qKSJVRmUCIy0tLeTl5Smk5+bm8sfL4/79+xg1ahScnJywc+dOhWsAgIuL\ni9zss+bNm6Nnz564dOnS+1afEEIaPLFYjP9b8iMuBJ2CnkgdLQRqeCkU4FV8BgymdlKaR+RgAnFI\nLATDhBC2MEDOpSeIOvEPmjZtCoFAZUaDEBWiMoGRmZmZ0sdlSUlJAFCuafRPnz6Fm5sbDAwMEBAQ\nAB0dHbnjxWU0baq4xLyJick7xzH5+vrC19dXLs3a2hobN25E48aNS93puSERCoX1ei+48qJ2KELt\n8EZ9b4ukpCR82KcHVn1ggd8+ceYfh51OSMN3Fx+C5UnBaQoV8nEcB05DDTm3EiE+FoNJo8bCwcGh\nFu6g5tX390R5FM9GnDVrFh49eiR3bOLEiZg4cWKVX1NlAqMOHTogNDQUYrFYbgD25cuXwXEcOnTo\nUGb+9PR0uLm5QSqVIjQ0VGnw065dOwiFQqUz3BITE2FsbFzmNcp6kV69eoWCgoIy8zcEtDdWEWqH\nItQOb9TntkhOToZb/174o5cdBrd8M+GF4zgMaWGETYxh5skHwBjFMZyMMchSs5F3PQnW5i2w5IdF\n9bad3laf3xPlJRQKYWxsjI0bN9bYNVWmH3LMmDGQSqXYsWMHn5afnw8fHx84OzvD3NwcQNEH8MGD\nB5DJZPx5OTk5GDJkCJKSkhAYGAhra2ul19DV1cXQoUNx6dIl/Pvvv3z6vXv3cOnSJbi5uVXT3RFC\nSP0TFxcHx+6d0GVILzQWAINaNFF63pAWRtC+rXwngtw7yWAFMozr4IYT+4/QYo2k2qlMj1HXrl0x\nduxYLFy4ECkpKfzK1wkJCdi1axd/3oIFC7Bnzx7Ex8fD0tISADBp0iRcuXIFHh4eiI6ORnR0NH++\nrq4uhg8fzv9/5cqVOHv2LPr164fvvvsOjDFs2bIFRkZGWLhwYc3dMCGEqCixWIyvZ3+LaxfOo4me\nFqz1dCBOy8H/RT7GzE6WaKQh/6uH4zg0EgiQficZmo5N5VawFh+6i3+OnoaNjU0t3Q1paFQmMAKA\nvXv3YsmSJdi3bx8yMjLg5OSEgIAAuLi48OdwHKcwIO/WrVvgOA7e3t7w9vaWO2ZlZSUXGNnb2yMs\nLAzz58/H//3f/0EgEMDV1RWrV69WulwAIYSQNyIjIzHq07EwE6jjzz5tMKhFEz7QCU5Iw8eBd/DX\n0HZywRFjDK+khch/nI6sY9EQ6GlCli6BrUVLhJwJoxlnpEZxjEYE14jU1FQaYwR6Zl6M2qEItcMb\n9aEtTp06hc/nfAU9JsD/+rbB4BZGCucExb/AlZRXWNTtzZCGwPgX+CIqDhjtgMyDt2Ft0QIHvfc1\n+ICoPrwnKqt4jFFNUqkeI0IIIXVPbGwsho75CDkFuVBvpIUmeTIMslI+nmigVRNsufkEQFFP0amE\nNMy+mYCc5o2hdeIxYq9EK12zjpCaQoERIYSQChOLxfi/db/giL8f1HNyYKKmBgMDXWSCQV+gJrfp\na0kcxyFLWojep28hS8aQaaiJ1OxcDDB1xta/NsHMzKzB95KQ2kWBESGEkApJTk7GgJFD8LJAgqbZ\n+dj61liiAYevgTGmNDhijCE9X4onhWpAvhSyWDF2rv0NQ4YMqYU7IUSRykzXJ4QQUvuysrLg+tEg\nZEqyoScpwNY+bTC4pREfBHEch37NDRGUkKY0/6n4NGRwgCw9B8iR4tSB4xQUkTqFAiNCCCFlEovF\n+GmVF7oN7o023TvglSQbeuPawchQR+naRDM7WeK3m08Q+PgFv+I/YwyB8S/w3fn7yJBKMXHEWERH\n3EC7du1q+nYIKRM9SiOEEFIqsViMYZNG46ngJfIzXkEAQG9Se2g6NIVeUJzSx2WNNNTx11An9Pa7\nhkUx/0FXIkWWGocXmRLkqmvgWkhog59xRuquCgVGYWFhVXbh3r17V1lZhBBCqsdir58Q9188Go1y\ngFqCDvLup0LToWgRxkxZYaljiXSFamA6IqQNtkXsgVuAjGHIwEHYsGoNrV5N6rQKBUZ9+/YtdaZB\nRXAcB6lUWulyCCGEVI/k5GR8NG4UnqUmQb2JDnIvJqDguRjqJrr874GcVk1w+kk6hiiZmn8qIQ2v\nDBT87e0AACAASURBVDWR6XsLO1ZvwdChQ2v6Fgh5LxV+lFYV60HSmpKEEFI3JScnY/xnnyD1URwM\nwOEDHS1kvcqHRFyALDUOYkkB30tUONgOc36LBGMMQ6zezEo7FZ+G78IeIJVjOLLLF926davt2yKk\n3Co0+LqwsFDp1/Hjx6Gvrw8bGxv88ccfePjwISQSCSQSCWJjY/HHH3/Azs4OBgYG8Pf3R2FhYXXd\nDyGEkPeQlZWFL2Z+jc79nZETG4em6uow0RHhVV4BhAB+cGwGW8ahycs85N5MAgAINIUomNENswok\n6BR4C71P3ET7Q1HwPH8fDj17437UbQqKiMqp9ODr69evY9y4cejWrRtOnToFLS0tuePW1tawtrbG\np59+isGDB2Ps2LGIiIhAhw4dKntpQgghlSAWi7Fmy3oEhf+DlJcvkPdSjOaFAmzs3wZuJXqAghLS\nMDv0AX74wBIXk17hzPEY5ArVIHIwgUBTCDbcHi/upiB2/00wWSH+3LCNpuATlVXpwOiXX35Bfn4+\ntm/frhAUlaSpqYnff/8dDg4O+OWXX3DgwIHKXpoQQsh7EovFGPHpOKR204Fgsg3YjnSYqaljYy87\nDCqxxxnHcRjUwgjr+wI/X4qFsbYGDNXVkfw4HeKQWHAaaigU50OWKQFjDEd9DlAvEVFplQ6MwsPD\n0bhxY7Rp0+ad59rb20NPT69KZ7cRQgipuGWrViBNmgr9Q4+gz3EwKJCByQC3UvY4G2TVBIvCH0Jb\nXQ26BVJIrj2DQEsIaXoOOAEHga4Io3sPpqCIqLxKB0YZGRkAisYfCQRlD1kqLCxEbm4ucnNzK3tZ\nQggh70EsFuOHJQtx7VQAtvVpg0E92oDjOMhkMgw6eqPMPc70ROp4lZuPLDUBOC11yCQF0B3cCpIL\n8WhpaI4Vi5fV8N0QUvUqvfK1ubk58vPz4efn985z/fz8kJeXB3Nz88pelhBCSAUlJyfjgz7OuBp4\nEpv6ym/loaamhsx8aamzhhljeJknhYWeNtJeSSDLzIMAHBD6Hya6jcSJ/UdofSJSL1Q6MBo5ciQY\nY5g+fTpCQ0NLPS8sLAzTp08Hx3EYOXJkZS9LCCGknMRiMb5ftAAfDHCBlkQCC11NpY/MmumISt3j\n7ExCGnIKpDj7XzqW/99aPL39EPFX7+FexE2sWrqcgiJSb1T6UdqiRYvw999/48mTJ3B1dYWLiwv6\n9+/P9wo9e/YM//zzD8LDw8EYg6WlJRYtWlTpihNCCHm3uLg4uI3+ELm52TAtVEMjdTVwHKf0kdn2\nAfYYfPQ6GIrGFBXPSjuTkIbZofeRIZNix5970bdv3xq/D0JqSqUDI319fYSGhmLs2LG4du0awsPD\ncfHiRblzirtmO3XqhL///hv6+vqVvSwhhJB3uHPnDgaPGwbIZGguEPLT8If53VC6lYeZriZOjeyI\nAUeuQVNdDfoidbzMk+JVvhSvRJo4HRAMGxubWrobQmpGpR+lAUCLFi0QGRmJgwcPYuTIkbCwsICG\nhgY0NDRgYWGBkSNH4sCBA4iMjETLli2r4pKEEEJKIRaLMdlzGj4d/RHsBEJ0baQLHaE6tt18iuTs\nPDib6SPkSbrSvLdeiOHSzACp6hyisiXI1DdEQFgEHt65R0ERaRAq3WNUTCAQYOzYsf/P3n2HV1Gl\nDxz/zr03uekdQmiBEIisgqCU0MtCAqyCIoigu7Iiumuh+aMtRWFVREUQdFWUIoIUAUEMvYSiVCWA\nSA0ktNxACkkm7bb5/RG5EFMgJJQk7+d5eJ5l5sw9M2fD9c2Z876Hvn37ltVHCiGEKAFVVXln2nss\nWLiAWnoDn3duWKBQY7eVv7L88ca8sf0UmqbR9U+vzEbtOEmmppGqaHw1/TMp1CgqnTILjIQQQtw7\nJpOJDj26oGZlUEPRM6PjA4UWatSA/9txikU9GjHz4DlmxZwn22pD0+CCmk2azYaq17EjaovMEIlK\nqUxepd3oypUrHDhwQIo4CiHEXaCqKoNf+xfNOrcmy55LoKbD0+hUbKHGBDUXT2cD41qG8EOvJiRn\nmYnTbFwy6slxMfLL9j0SFIlKq8xmjH744QfeeustDh06BOT9dmK1Wh3nU1NT6d+/PwBLly7F29u7\nrLoWQohKyWQy0T6iM5m2HAI9jHhlWvByM6IrIusM8r6bvYwGR1HeDfHJqHY7uY8/iNP3x9m9eTvV\nqlW7y08ixP2jTGaM3nvvPZ588kliYmLQNM3x50a+vr64urqyadMmli9fXhbdCiFEpaSqKm+MH82j\nnVuhy1KpaYU6NoX6vu54Ohuw2At+B1+jaRppuVYURWF9XBLDo4+jRoaSu+YUuzdKUCREqQOjPXv2\nMG7cOAwGA9OnTycpKYnAwMBC2z733HNomsamTZtK260QQlQ6qqryfxPG8Jc2j/Dj8qXUsEF1FyMf\nd3qAzX0eZdljD7Pmiab8xd+dDXHFF2p8dNEeXos+zgUXA4b9Sexau1WCIiEog1dpH3/8MQBjx45l\n6NChxbbt0KEDAAcPHixtt0IIUamoqkq3Po9zQUnDL8eCUVNoX8uPp0IDCyyyntYhjF6r8r5nI+v8\nuVDjCc7bLOBmoHr16gzqHMnI14ZL5Woh/lDqwOhaMcfXXnvtpm0DAgJwd3fn0qVLpe1WCCEqjdjY\nWJ7q1R0PzU4dQDEY8DIaOHg5g9qeLrSu4YOn8/Wvc09nA6t6NaHril+Y8PNpvJ0NpJmtpJstXFQ0\nWj4aztdfzsXT0/OePZMQ96tSB0aXL1/G09OTgICAmzcGjEYjGRkZpe1WCCEqhejoaN741wt81KY+\n845e5PWmwXSp7eeYBdoUn8yza4+wqEejfMGRl9GJYC9XYq9mkpJjJt1qw6RotGneimXfLL6HTyTE\n/a3UgZG7uzsZGRnYbDb0en2xbVVV5erVq1SpUqW03QohRIWmqioDBv6d07/FMKdDQw4kpvN602C6\n3pCGrygKEX+8Rpt58BzjWoY4zmmaRnK2BbNNI1vTSPJ3o553IHM/+/KuP4sQ5UmpF1+HhYVhs9k4\nfPjwTduuWrUKu91OkyZNStutEEJUWLGxsYQ1a8TB40cI8HYjso4/exKu0qW2X6Htuwb7sychLd+x\nDfHJpOaYSbfZSHN1ZWDPZ1j73Q+ylkiImyh1YNSzZ080TWPKlCnFtrtw4QJjxoxBURSeeuqp2+rL\nbDYzevRoatSogZubG+Hh4WzevPmm123dupVBgwYRFhaGu7s79erVY/DgwZhMpgJtO3bsiE6nK/Cn\nR48et3XPQghxq0wmEz3at2ZQz2486mqknh18LXYA3J30xdYmcjXoHKVS1p69wn92nSLFYsWjVi1i\ndu5l0pgJEhQJcQtK/Srttdde49NPP2XFihX84x//YNSoUY5zFouFuLg41qxZw9SpU7ly5QphYWE8\n//zzt9XX888/z8qVKxk+fDihoaHMnz+fHj16EB0dTevWrYu8bvTo0aSmptK3b1/q16/PmTNnmDVr\nFlFRUcTExFC1alVHW0VRqFWrFu+9916+OiDVq1e/rXsWQohbERMTQ5+uHelQ05dLHkbcnfR4OhtI\nzrYAkGmxoWlaocGRpmmcvppFp+8OkJZrIctqI9vJQOTTz/DWmPESEAlRAopWVBWwEoiJiSEyMpIr\nV64U+RuNpmlUr16dLVu2EBYWVuI+9u3bR3h4ONOmTWP48OEA5Obm8tBDDxEYGMiuXbuKvHbXrl20\nbds237GdO3fSoUMHxo8fz+TJkx3HO3XqRHJy8i29GiyJK1euYLFYyvQzyyM/Pz9SUgrf1bsykXHI\nI+OQZ968eXz67iRqeboytmVIvsXVL2/+nd6hVTmQmEHLIO98a4yu2RiXxLKTJradTyHXx5s9W3eV\n24wz+Zm4TsYCnJyc7vq65DKpfN2kSRMOHTrEP//5T4xGY77q15qm4eTkxMCBAzlw4MBtBUUAy5cv\nx2AwMHjwYMcxo9HIoEGD2L17NxcvXizy2j8HRQDt2rXDz8+PY8eOFXqNzWYjMzPztu5VCCFuRWxs\nLKFNGvLxe5MxGvSMaVHXsds9XK9J9P7+OP7i78asg/FsjEtyzGZrmsaGuCSm7DvL1oup1G3WnL3b\nfiq3QZEQ94My2yutWrVqzJkzh//973/88ssvXLp0CZvNRrVq1WjevDlubm6l+vyYmBgaNGhQYEq4\nRYsWjvM1atS45c/LzMxEVdVCywycPHkSd3d3zGYzgYGBDB48mIkTJ2IwlNlwCSEquXnz5jH+g8no\n3Yx46XQ4GfSFzgZdq0nUZsk+anq6MHbnKcbsOoWXswHVYiPLYiNds/PpF/Po2LHj3X8QISqYMv8v\nvdFoLHa9z+1KSEggKCiowPGgoCA0TStx0cjp06djsVh45pln8h0PDQ2lc+fONGrUiMzMTJYvX87b\nb7/NqVOnWLxYan8IIUrnyJEj9O/7BD56HY/4epCekYtOUfAsZnG1l9GJqm5Gop5oyuOrDnI+x8Kp\nx+qTvvw3Vny9mJYtW97lpxCi4ip1YPTCCy/g4+PDRx99dEvtR40aRXJyMnPmzClRP9nZ2RiNxgLH\nXVxcHOdv1Y4dO5g8eTL9+vVzbFNyzZdf5q/x8eyzz/Lyyy/z1VdfMXz4cMcMlRBClISqqjz9XH8S\njx9ldvswutUNuL5VR1wSY3edLnZxda7Nzob4FKp7GDmk5pC+/DcW/m+uBEVClLFSrzGaP38+S5Ys\nueX23333HfPnzy9xP66uruTm5hY4npOT4zh/K44fP07v3r1p3LhxgSCoKG+88Qaapt1SaQAhhLiR\nqqq89Nq/CXv0QRKOHyXY3YV5Ry/y+KqDvL3nDKrFRre6VXgowJ31cUmFfsb6uGQa+Loy/qdTbLmY\nylW7jYX/myuvzoS4A+76opnbTYILCgoq9HVZQkICcGvp9OfPnyciIgJfX1+ioqJwd3e/pb5r1aoF\ncNPsgMWLFxd43RYSEsKMGTPw8vK67WevSJycnPDzK7xIXWUi45Cnoo9DQkICTdu1JCs3myBvdzp6\nuJCQaXbMCp3LyKbfj4dZ+lhjPu3ckNZL9qEB3etcn01aH5fEqB0nybXZUdHo+Ux/PpryYYVdYF3R\nfyZKQsYCx7+VYcOGcebMmXzn+vfvT//+/cu8z7seGCUlJd3WQuwmTZoQHR2Nqqr5FmDv2bMHRVFu\nWk07JSWFiIgIrFYr0dHRBAYG3nLfsbGxADdNGSzu/6T09HRJ10fST6+RcchTUcdBVVVef2MYe7dv\noYpej9WmYcww06dpHSJu2O1+87kUpuw9wwcH4pjcOpQAF2dGbj/B+J9OOxZXZ1qspNlsvDN1Or17\n9wbyasRVxHGDivszcTtkLK6n68+YMeOu9Vkm6fq3Ii0tjWnTppGVlUW9evVKfH2fPn2wWq3Mnj3b\nccxsNjN//nzCw8MdGWkmk4kTJ05gs9kc7bKysujevTsJCQmsXbuWkJCQAp8PkJGRgdlsLnD87bff\nRlEUIiMjS3zfQojKJSMjg+Ztw/l122bquTpjRKGmhyvOBh3/O3QeU2bekgBFUega7M/oFnXZ8EcK\nvoeznqMD23JgQEtGNgvmks3KBTS27dzrCIqEEHdWiWeMJk2alK8gIkBiYuJNN5C95na3BGnRogV9\n+/Zl7NixJCYmOipfx8fHM2/ePEe7MWPGsGDBAuLi4qhduzYAAwYMYP/+/QwaNIijR49y9OhRR3sP\nDw969eoFwK+//uqY9QkNDSU7O5uVK1eye/duXn75ZdnjTQhRKFVVeWvKf1n+w/e4WSy428FFr2dc\ny3pEBF+fIdoYn0y3lb+yvvcjBHnkJY5EBPsz8efTbIhLolV1n7zXZ/HJDD90Ds3NnQM/bqJatWr3\n+AmFqDxu61XajWtlrv2DvxXOzs78/e9/Z8yYMbfTLd988w0TJkxg4cKFpKam0rhxY6KiomjTpk2+\n+9Hp8k+EHTp0CEVRmDt3LnPnzs13Ljg42BEYBQcH0759e1atWoXJZEKn09GwYUO++OILXnzxxdu6\nZyFExaaqKl17dift0gWC9QaCfTw4mZrJhx3CiKxzvU6aoihE1glAA/615RirezV1HHd30vN/20/i\n7WJg6UkTKXaNrr2e4O3xk2Q7DyHushJvCRIfH09cXByQFyB17twZPz8/VqxYUeQ1Op0OLy8vGjRo\ncMvZYxWNbAmSR96Z55FxyFPex0FVVf76t0i0xASmt2tAt7oB6HQ6mi/aw74BLYtMvW/57V72PRvu\n+HvzRXtIsVi57KSjXo3arF2xptIGROX9Z6IsyVjcmy1BSjxjFBwcTHBwsOPvtWvXJjAwsEA9ICGE\nqKhMJhMDBj/PiVPHCbLp8HQ28MEv8UzccwazxUoVd5ciizUqioKX0YDdbken07EuLolks5Wr9Xyo\nq/mwdnnlDYqEuB+UOivt2uyREEJUBiaTiVYRHTBbc6mp6ZneKX+xxk3xyYzZearYYo1puVYURWHt\n2SsM2X6CVFcjf2/TizHD/k+CIiHuMdn8SwghblFsbCwde3bFrmlUtyrU8HRh/u+X+PTQecKDfBj6\nSG0i6gQwZd9ZNsYn51tjdM2G+GRyrTYeWbiHdIOBZT9uJDQ0VF6bCHGfKHW6/saNG/Hz82PAgAE3\nbdu7d2/8/PzYtm1babsVQoi76siRI7R/7K942jRq23XM6tSQzX0eZeljD7Pmiaa0DPLm2bVHyDBb\nWdT9IYZHn2D9H2n4gKNY4/DoE6RbLLw8fjK/HjpGaGjoPX4yIcSNSj1jtHTpUtLS0m6p+mS/fv1Y\ntWoVS5YsoVOnTqXtWggh7jhVVRn95jhWb4wiCD0da/jQt34gEX/KOOsa7I+macw8eI5xLUOo7+PK\nyO0nGKfX4W00kJZrRbVYydA0ln0fRaNGje7hUwkhilLqGaNrladvZc+eHj16oCgKu3fvLm23Qghx\nx+3du5cHWj5MtO95/PzcmNm+AQlqLl2D/Qtt3zXYnz0JaWiahk0Dg07HlQAXjnWpy0m7DV1Qdfb/\n+psERULcx0odGF24cAEfH59b2rfH09MTHx8fLl68WNpuhRDijjly5AiNHqzP0OcHEKroqLL4MP5J\n2cw7eonL2Wbe2XuWDLO1wHWKouBm0LHubBJB7s4kOSukpZtRfzxBvbohbP5xgyyuFuI+V+pXaVar\ntUSbo1osFqzWgl8oQghxr6mqyj8G/5Ozvx6gnrsLQ5vWYu7RS7zWpDZdb6hgvSk+mWfXHmFRj0Z4\nOl//GtU0jaRsCxN+Pk2G2UqqHlydXOjbbwDjRoyWoEiIcqDUgVH16tU5c+YMp0+fvukiwtOnT6Oq\nar46SEIIcT+IjY2lc89I3G02Gri7oFMUPjgQz8TwegXWE137+7X1RNesj0viQkY2VrudK84Gtv+w\nQRZXC1HOlPpVWtu2bQF4//33b9p26tSpKIpCu3btStutEEKUCVVVeWnIK7R/vAt2Dye8dXrGNK/L\n5j6P4uviRESd4tYTXQXyZorWnr3CiO0nyNbsJBudObbvkARFQpRDpZ4x+ve//83XX3/NnDlzCAgI\n4K233sLZ2TlfG7PZzJtvvsmcOXNQFIV///vfpe1WCCFKLTY2lk49I/G32alvMIBqYUq7BkTWDUDT\nNNyd9MVWsM6y2On5/a+cV3O5bDaj1vZCuZzD1lXr5bWZEOVUqQOjFi1a8PrrrzNr1iymTp3KV199\nRdeuXR2vy+Lj49m0aRPJyckAvPrqq7Rq1aq03QohRKkcPnyY7k8/Ti0MzOj4ABHB/rRbup/IP2aI\nFEUh02IrtoJ1utlKXS93DqRlku3lRkOfYL5e9BXVqlW7248jhCgjZVL5evr06bi4uDBt2jSSkpJY\nsmRJvvOapqHX6xk5ciRvv/12WXQphBAlpqoq706byor1q1EzMqlu1zGjc1jerveahlGvyxcEhQf5\nsPlcSqHp+Rvjk2lSxYNtF6/yw48bqV+//t18FCHEHVImgZFOp2Pq1Km8+OKLfP311/z888+YTCYU\nRaFatWq0bt2agQMHUq9evbLoTgghSkxVVXo+24eEvxgw6u0EajqcjDoibgh6MizWfDNEQx+pzbNr\nj6BpWr6stPVxSbyx/SRpmp01azfLd5sQFUiZ7pVWv359mRESQtx3TCYTTzweiTMW6p/XMCgKHUOr\nEnMl3REEKYqCosGm+GRH1pmns4FFPRox8+A5pu6Pw2q3k2qxkWyxUqVeCFvnLpLXZkJUMLKJrBCi\nQjOZTPTq0p4ZbUKJrHN91mfzuRSWn0okPdeCl9EJgIg6Aby3/yyAY4bIw0lPs0AvNscnc1qxU7Vu\nHfYt/l4WVwtRQZU6XV8IIe5HqqoycPALdGvfihltQulWNyDf7FDXYH+mtmvAyB0nHdeMal4HF72e\nFacS6bn6IP1+PETP1QdZfiqR+MxcIro+zo8SFAlRoZVoxmjBggUAeHt706tXr3zHSuof//jHbV0n\nhBDFMZlMPPF0b84nXqSaoifE09WRafZnkXX8mfjzaTbGJdE12B9PZwNL/taI/9txkgsZubi5GMgw\nW0lw9mTd9p/ltZkQlUCJAqOBAweiKAphYWGOwOjasZJQFEUCIyFEmVJVldET/sOqdatRnAx46w10\nrObN2bScYmsRBXu5ss+UxqyYc6hmG6rFRprFyiWdhpJtY8W8xbRs2fIuP40Q4l4pUWBUu3ZtFEWh\nevXqBY4JIcS9oqoq3Z56jPhLF3BpGIRmt+N9KoWnG1Rj5sFzxdYiyrbaGB9ej3Vnkxjx00kyNLiq\naKyct0QCIiEqoRIFRnFxcbd0TAgh7hZVVen+1OPEJ17Eq19jMrfG4nE1h4/aNSCiTgD7TOnF1iJq\nFeTN2rNJDN11EhMark5GdqxYIyn4QlRSkpUmhCi3Dh8+TPd+vfDWoK7egO+q42TkWsmx2Ghd3Rso\nvhbRqB0n0Qw6Pjtl4qrVyqIvvqZjx4739qGEEPeUBEZCiHJFVVU+mPURP27ZgCnRRDVN4ZMOD+RL\nxd8Ql8xz635jUY9G+WoRzYo5j5tBx9m0bNyddKTX8yXlbCpuTi78smWLLK4WQkhgJIQoP66tJbqa\nbMJDtVBHgWkdHiCyboCjjaIof6Tmw8yD5xjXMgRPZwPjWoYAYLfbafHtXuKzzCSfSeFvf43koykf\nSAq+EAIoYWA0efLkMut44sSJZfZZQoiKLyMjg78+3g1roolQV2fGdgxj5sFzRBSRih8R7M8nMecL\nHF8fn0yy2YquWlV+WbZaZomEEPmUKDB66623Sp2Bdi07RAIjIcTNqKrK5zOmsS96C1mpV3DJseDn\n6syY5nXoGuzPnN8uFpuKryNvhkin06FpGuvikhiy/QRvTv2IJ5988u4+jBCiXChRYNS+ffsiv4Ri\nYmJIS0sDoEaNGtSsWROAixcvcuHCBQB8fHx4+OGHS3O/QohKQlVVXurfh6E1DUzqXJtMa00+/jWe\nVbFXmHP0ErNiznMly5xvS48baZpGco6FZt/uxc1ZT3quFb/adYmKlkKNQoiilSgwio6OLvT42LFj\n2b59O/379+ett96ifv36+c6fPn2aSZMmsWjRIlq1asW777572zcshKgcZr4/hRpZV5hxIJvPY/TE\npmXzfvsGjGsZ4lhkvTEumSd+iGF1r6Z4Ouf/OtsUn0xDPzfWXkrFycOLn3Zsl3VEQoibKvXi6xUr\nVvD+++/zyiuv8MknnxTaJjQ0lG+++QZvb2+mTp1Ks2bN6N27d2m7FkJUUEeOHGHl4kUYDXpcDHrs\ndjNT2zUgsk7+RdaRdQOwA/+3/QSfd/nL9YApPpn39p0lPjOHR9t15LMZsyQoEkLcEkXTNK00H9Cp\nUyd27tyJyWQiICCg2LZJSUkEBgbSoUMHtm7dWppuy50rV65gsVju9W3cc35+fqSkpNzr27jnZBzy\nFDYO3377LTMmjaOGuwtjWtSla7A/j686yJonmhZZvbr9sv34GJ3QAefVHHJsdlSdjlU/rC83hRrl\nZyKPjMN1Mhbg5ORElSpV7mqfutJ+wOHDh/H29r5pUAQQEBCAj48Phw4duq2+zGYzo0ePpkaNGri5\nuREeHs7mzZtvet3WrVsZNGgQYWFhuLu7U69ePQYPHozJZCr2urS0NKpWrYpOp2PlypW3dc9CiJtT\nVZWxk8ZT58EwPpg0jg41/RjbMoSIP2aI3J30xS6yDnI38u/GNfg9NZOTmo2w9h3ZvfdguQmKhBD3\nj1K/SsvNzSU3NxdVVW86Va2qKunp6RiNxtvq6/nnn2flypUMHz6c0NBQ5s+fT48ePYiOjqZ169ZF\nXjd69GhSU1Pp27cv9evX58yZM8yaNYuoqChiYmKoWrVqoddNmDCBnJyiN6AUQpRebGwsXZ/sgUWx\noxjAW+fEJTWXLrX9gLzAJ9NiK3a/s9irWQzZfgKTHrq07sj8L+bc7ccQQlQQpZ4xCgsLw263F7m+\n6EaffPIJNpuNsLCwEvezb98+li5dynvvvcd7773Hiy++yJYtWwgODmbUqFHFXjt9+nROnz7NlClT\neOGFF3j77bf58ccfMZlMRd73b7/9xueff87o0aNLfK9CiJvTNI1Tp07RsVckrk8/iGvzmnj2a4SP\ns77ADFF4kA+bzxX+SmFdXBIpFisp9f2oVyeET6fPuluPIISogEodGA0cOBBN0xg/fjyTJk1CVdUC\nbbKyspg8eTLjx49HURT++c9/lrif5cuXYzAYGDx4sOOY0Whk0KBB7N69m4sXLxZ5bdu2bQsca9eu\nHX5+fhw7dqzQa4YOHcpTTz1F27ZtKeUyLCHEH1RV5c0pk2nzWGeaRLahbetHqakoBC77jYa/mghY\nfoy0XKtjhuiaoY/UZtbBc2yMS3Ic1zSNtWevMGT7CTI93enf4m+sXbZaFlkLIUql1K/SXn31VaKi\noti4cSOTJ0/mgw8+oFmzZtSoUQPIq2N04MABsrOz8zZx7NqVV155pcT9xMTE0KBBgwJfei1aROjl\nDQAAIABJREFUtHCcv9bnrcjMzERV1ULXRn333Xfs2bOH48ePc+bMmRLfqxCiIFVV6flsHy4/4kqO\nlxmvX02Eubsy9o8F1tcyyjp/d4DqHkY2n0uha3BeVesb9zubuj8Oi6Zx1Wwl2WplybLVNG7c+B4/\nnRCioih1YKTT6fjhhx8YM2YMn3zyCVlZWezYscMxDX7ttzu9Xs+rr77K1KlT0elKPlGVkJBAUFBQ\ngeNBQUFomsalS5dK9HnTp0/HYrHwzDPP5Duek5PDyJEjGTFiBLVq1ZLASIgy8u60qSQ2MZK1/Qw+\nni50ruHL0w2qOYIfyFtP9G2PRnRZfoBTqVnYNY2IP4ImDyc9Tat6Mu/YJZLreKMzZfPz5p1SrFEI\nUabKZBNZZ2dnPvroI0aOHMny5cs5cOAAly9fBqBq1ao0a9aMp556iurVq992H9nZ2YUu2nZxcXGc\nv1U7duxg8uTJ9OvXjw4dOuQ7N2XKFKxWK2PHjr3texVCXKeqKh/M+ohvf/gOzUmHZ8+GeK07RYLZ\n7lhgfaMgDxc2PfUoHVf+yojtJ3A16PFw0nM118IVNLLdjYS51+Dr9V9JUCSEKHNlEhhdExQUxOuv\nv16WH+ng6upKbm5ugeM5OTmO87fi+PHj9O7dm8aNG/Pll1/mOxcXF8eHH37IZ599hpubW+lvWohK\nTlVVuj/dk5TWPgS82Znkj3/G+GBVvDacLjYFv7qnK0GBnlwc3oqrhxNIX3KEds1bs23u17c14yyE\nELeqTAOjOykoKKjQ12UJCQkAtzQbdf78eSIiIvD19SUqKgp3d/d85ydOnEjNmjVp37498fHx+T7/\nypUrxMfHU7t27SK/zBcvXszixYvzHQsJCWHGjBl4eXnJIm7yinX5+RWcJahsKvo4JCQk8PSTj5Mc\nfxYfVyf47iKpK49iM+jAbCPdruFlsRebgp+aksWVSVvRzDbq1anL8kVL8PT0vAdPc3dU9J+JWyXj\ncJ2MBY7vh2HDhhVY2tK/f3/69+9f9n2WtvL1jZKSkti2bRvx8fFkZWUxceLEsvpoRo0axYwZM0hJ\nScm3APvdd99lwoQJnDt3rtjF1ykpKbRp04a0tDR27dpFSEhIgTadOnVix44dBQKYa4tCFUUhNTUV\nLy+vEt+/VL7OI5Vc81TUcTCZTPxr0POkxp0h2NMFm6YRHuTDkKa1+MmUzrCDcVx21RNQ25eOF9QC\na4yuWXv2CoO3H8fs6krfJ59i3IjRFT7brKL+TJSUjMN1Mhb3pvJ1mcwYWa1WRo8ezf/+9z/MZrPj\n+I2BUWpqKiEhIWRnZ3P8+HHq1KlToj769OnDhx9+yOzZsxkxYgSQVwl7/vz5hIeHO4Iik8lEWloa\noaGh6PV6IK9cQPfu3UlISCA6OrrQoAjgnXfeISkpKd+x3377jQkTJjB69GhatWpVYJZJCJEnNjaW\nZx6PZGa7BkS2DXf8QrH5XArPrfuNRT0aMV0L5jVTMul6hR0WM6f3nsm3wFrTNNbFJTFk+wnmzl9M\neHj4vX4sIUQlUyaBUd++ffnhhx8AePDBBzlx4gRWqzVfG19fXwYMGMBnn33GsmXLblqU8c9atGhB\n3759GTt2LImJiY7K1/Hx8cybN8/RbsyYMSxYsIC4uDhq164NwIABA9i/fz+DBg3i6NGjHD161NHe\nw8ODXr16ARRaPdvb2xtN02jevDk9e/Ys0T0LUVnExsbyeI8uzOnYkG5182/02jXYH03TmHnwHP9p\nURfvoxdITc7C+no456NOMmJPLK4/n8bDoOeqxcYVi4V5Xy+hZcuW9/CJhBCVVakDoyVLlrB69WoC\nAwNZu3YtTZs2JSgoyJGVdqO+ffvy2WefsW3bthIHRgDffPMNEyZMYOHChaSmptK4cWOioqJo06aN\no42iKAUWZx46dAhFUZg7dy5z587Ndy44ONgRGBVFtgQRomjr1q3jjeGvUMWgJ7JOwddiAF2D/ZkV\ncx5FUfAy6ECzkzxzNzonPTY92NHAZsHbzYM1366QPc6EEPdMqdM75s2bh6IofPDBBzRt2rTYti1a\ntEBRFH7//ffb6svZ2ZmpU6dy8eJFsrKy2LNnD126dClwP1ar1TFbBHD27FlsNluhf25Wp6hDhw7Y\nbDZ69+59W/csREX2/fffM37Yq3zV4QF8jE7FbvTqZtBht9tJs9rBpqFlmnFtXwd7toXHOkRw/KcY\nju6NkaBICHFPlXrG6ODBgwA89dRTN23r5uaGt7d3obNJQojyw2QyMXjgc6Sdj+NBX3c+jTlPeq61\n2CyzTIuN9fEppPu5oCVnYajtQ8aKo3w57VO6d+9+D55CCCEKKnVglJaWhre39y3XEbLb7fJqSohy\nSlVVRk0cy751a5nVPozIDq0ci6YHbzrKhrgkutUtmEGyMT6ZGh5GRu06SbKXM3bVjC01i03Lo2jY\nsOE9eBIhhChcqV+l+fr6kpaW5ii0WJyEhATS09MJDAwsbbdCiLtIVVVefWMof2n/KDu2bGBW+zC6\n1Q1w/JKjKArTOz7AqB2n2PCnjV7XnU1i1I6TBLo5owG2q1nU8A/k+N7D+dYHCiHE/aDUgdEjjzwC\nwLZt227a9trC51atWpW2WyHEXaKqKt379mS73wWqvvVX/L1cCl1k7elsoFdoFVacNNFzdQz9fjxE\nz9Ux/JqYxq5nWhBe3YerVht/69qdLT9uqPB1iYQQ5VOpX6U9++yzrF+/ngkTJtCuXbsiv+zWr1/P\nf//7XxRF4fnnny9tt0KIu0BVVR575klS2/ri2rgamqbhrdcV+Tp8VPO6tF68l6ntG9At2B+dTvdH\nbaJkhu04xZq1m2VxtRDivlbqwGjAgAHMnj2bnTt3Eh4ezr/+9S9HkcdNmzYRFxfHmjVrWLt2LXa7\nnccff5zIyMhS37gQ4s46fPgwjz3bG5z0VG30VyDvlVmareitPDyc9NTwcOH705f5z65TeBgNqAYd\nVp0La7btkk1fhRD3vVIHRoqisGrVKp588kl27NjB0KFDHee6devm+N+aptGlSxcWLVpU2i6FEHeI\nqqp8MOsjftiwjsuJJvQeRhSjIV8QlNXAn/XnUuheyFYe6+OSOKfmcNRsJlWzUzOgCt06RzDyteHy\n6kwIUS6USeVrX19ftm7dyqJFi5gzZw579+4lNzc3rwODgRYtWvDSSy/x3HPPyc7YQtynVFWle5/H\niUu8iN1mx9fohE+ODR+7QsZ7O8h6IAB7t/rQrT4jPt2Lpml0//NWHrtOcsVFT70addj05dcEBQXd\n68cSQogSKdNNZK+x2+2kpKRgs9nw9/fHYCiT+Ktck01k88imiHnux3H458svsnHHFnSuzgTm2pjV\ntgGRda4HPuvPpTDi2AUsr+Zt1aFbfwq33y7jqUFalplkq5XFS1fx8MMP33Kf9+M43CsyFnlkHK6T\nsSinm8guWLAAgMjISEcavk6nIyAgoLjLhBD3idjYWP7evw+6LJWmHq6kZ1toUc2bNjV88qXjd/9j\nz7Nh60+h9WpIdj0/Eg9cwGax4aQzsCVKFlYLIcq/UgdGAwcOxGAwcPXq1bK4HyHEXWIymXjq2afJ\nvXiRWR3DiLzhtdim+GSeXXuERT0a4el8/Wuie7A/Yxbv5UJcKjpvI3aLjV7dHuP9ye/KGiIhRIVQ\n6sDIz88PyNvuQwhRPpw+fZrOT3TD02rnq44P0K3O9RleRVGI+OPvMw+eY1zLkHznvJ0NpHSqS8bS\nI2xfs0lmiYQQFUqpV0I/8MADpKWloapqWdyPEOIOUVWVN6dMpnnXdnR47K/YNTt+zgYiC8kuA+ga\n7M+ehLR8xzRN42qOhfTFh4n69nsJioQQFU6pA6OBAwdis9n46quvyuJ+hBB3gKqqRDzRgzlLvsGU\nmIDe3QW9tyveTvoiizUqioKbQceN+Rnr4pKwubiyf8tPNGrU6G7dvhBC3DWlfpX24osvsmHDBkaP\nHo2zszMvvfSSZKEJcR8xmUy069KRbM2CwdcVj7+F4fJgIIqikPH+ziKLNWqaRqbFdkM6fjIfn7Ow\nKfpnWU8khKiwSh3BvPDCC3h4eGA0Gnn99deZOHEizZs3p2rVquj1+kKvURSFOXPmlLZrIcRNxMbG\n0vHxCNCBMawKbi1q4vLg9U2ciyvWuC4umTNqDm2X7SfDYqPHU/2YO220BEVCiAqt1IHR/PnzHb9R\nAqSkpLBhw4ZC215rJ4GREHdebGwsHXtF4hxWBVtSJvar2Rj/UjVfG3tRxRrjkxmy4wQmvUaa3omt\na7fJdh5CiEqh1IHRP/7xjyLXKAgh7j5VVfnonf+ycc1Kmvi4cTU2hVSjjixX1wL/VnUuTlhebcmw\n9acYs3gv3kYDablWks1WjNUCebFbD9nOQwhRqZTJjJEQ4t5TVZW3pvyX7d+vZGa7+nz4bPj1qtVx\nyQz56RS2bDN6V+d81+lcnNB6NeTcYROas4KSo7Hlx42EhobeoycRQoh7p1SBkd1u5/jx46Snp+Pn\n50eDBg3K6r6EECVw+vRpIno/hqvFwlcdwgrUJepeN4CPgdcXH4YXmhW4PueICUMtL1xNFjZv2iKv\nzYQQldZtpetbLBZGjx6Nn58fjRo1ok2bNjRs2JAqVarwzjvvcAe2XxNC/ImqqoydNJ5mjzzEwCe6\n8xcXPVUMeg6Y0sgwWwu0717HH/fYVLKPmBz/RjVNI/twAulLjvB4g7bs2bhDgiIhRKV2WzNGTzzx\nBOvXry8QACUnJzNx4kROnTolr9iEuINMJhNdnuyOS3oGM9vUp1vdAMdrs83nUgrdzkNRFLzdnIlb\n+RsZq35HcdZjz7LQ8sGmzNt9UNYRCSEEtzFj9N1337Fu3To0TSM0NJSxY8fy6aefMnLkSKpXr46m\naXzzzTds3779TtyvEJWaqqqMHDeGFl3bYtTM1HZxZv7vl3h81UHe3nMG1WKja7A/rzWpxcyD5/Jd\nq2kaaVlmDD6uaDY71pQsFnz0Bd99s0SCIiGE+EOJZ4wWLlwIQEREBKtXr8ZoNDrOjRs3js6dO3Pw\n4EEWLVpEhw4dyu5Ohajk8maJepBVRU81dyMfPxxMZB3/QmeKugb7MyvmfL7r18UlkWq3Y0nMoM/f\nnuDt8ZMkIBJCiD8pcWD066+/oigK06dPzxcUAXh5eTF16lS6du3KwYMHy+wmhajsTCYTrSI6YHMC\nj9NWPm5fcIF112B/NE1zbPzqesN2Hnl1iU4S2KA+m7+YL+uIhBCiCCUOjJKSknBxcaFhw4aFnm/W\nrJmjnRCidFRV5c13J7P0hxX46PX4GZzwddPzycFzHDClM/SR2vnWEV2bKdI0jdPp2XTccIS0bAsZ\nOXbWbvtJAiIhhLiJEgdGubm5xX65ent7O9oJIW6PqqpMmvI2y35YgV2vUE2vZ1brUCJrF/7q7Fpw\ndG3j17Vnk7jipHA6LQtPZze2blgvQZEQQtyC20rXF0LcOaqq8lj/3qw8Fo2hvj/ewKzwULoFBzgq\nV197dfbnRdaappGUbWbYzpOkZpl5vFM39m3ZJUGREELcolJXvhZClK13p00lsYUbtm2JoGn4ahBZ\np+Amr0CBRdbr4pI4m5mL/wNh/Pj5PAmIhBCihG4rMEpMTESv1xd5XlGUYtsoioLVWrAAnRCV2Z49\nexj8wnP4KgoNjAYyLFYyzTZ8PIxF7kd47dWZ3W5nfXwyww/G023As0yZ+N+7fPdCCFEx3NarNE3T\nSv3ndpjNZkaPHk2NGjVwc3MjPDyczZs33/S6rVu3MmjQIMLCwnB3d6devXoMHjwYk8lUoO2UKVNo\n1aoVVatWxdXVlQYNGjB8+HBZTC7uCFVV+c+kCdRv9iCvDhzA7HYNiHkunOinm3NgQDgzOz1AVq61\nyH8z1xZZN/l2L69dSMK9Wi3GjRh9l59CCCEqjhLPGL355pt34j5uyfPPP8/KlSsZPnw4oaGhzJ8/\nnx49ehAdHU3r1q2LvG706NGkpqbSt29f6tevz5kzZ5g1axZRUVHExMRQtWpVR9tffvmFpk2b0r9/\nfzw9PTl27BizZ89m7dq1xMTE4OrqejceVVQCqqrS89k+XG7qgnNWDp90fKBACn5EnQCWn0pkQ1wy\n3eoGFPiMdfHJmMxW3GpWp2e7SEa+NlxqEwkhRCkoWjnZ2Gzfvn2Eh4czbdo0hg8fDuRlvj300EME\nBgaya9euIq/dtWsXbdu2zXds586ddOjQgfHjxzN58uRi+165ciV9+/Zl8eLFPP3007d1/1euXMFi\nsdzWtRWJn58fKSkp9/o27jk/Pz/+NfRV1jj9jjkulSq7z3N4QHihr8zScy20W7qfKe3q073O9a0/\n1sUlMXTHSeYu/Z7GjRvfg6coPfl5uE7GIo+Mw3UyFuDk5ESVKlXuap/lJitt+fLlGAwGBg8e7Dhm\nNBoZNGgQu3fv5uLFi0Ve++egCKBdu3b4+flx7Nixm/YdHByMpmlcvXr19m5eiD/JyMhgadRKjA8F\nkn3yCj5GpyLXEXkZnQj1cWXsrlM8vHgvbb/bz8OL9vDhBTs/bvup3AZFQghxPyo3gVFMTAwNGjQo\n8JqgRYsWjvMlkZmZiaqqBAQUfD0BeRviJiYmsnPnToYMGYLBYKBjx463de9CXKOqKm9OmUxoswex\nezkBYHB15mqupdh1RLk2DbuiEK9XeKB7T9btOcj3URsk60wIIcpYuUnXT0hIICgoqMDxoKAgNE3j\n0qVLJfq86dOnY7FYeOaZZwqcS0xMzNdXrVq1WLx4MQ0aNCj5jQvxB1VV6fVcX5LCPchx1cCed1wz\n27jqrGN9XDLdC1lHtCk+mSB3Z8xBwaxfuFTWEAkhxB1UbgKj7OzsAnuzAbi4uDjO36odO3YwefJk\n+vXrV+hGt35+fmzevJmcnBwOHjzIypUrycjIuP2bF5WWpmlkZmby+YxpbFnzPe5OdqxRYM+xkNso\nkNzfL+Nczw+btwtDfjzBx0D3GzaG3RifzHv7zpKKgagfJCgSQog7rdwERq6uroVuM5KTk+M4fyuO\nHz9O7969ady4MV9++WWhbZycnOjcuTMAPXr0oHPnzrRp04aqVavSo0eP23wCUVmoqsoHsz5i80/R\n5Nit6OISmNmuPpOfaOQIeNbHJTP82AUun03BvWM9Mrefgb814OWtsfj/dAofZwOqxUaWxYbV1Y01\n6zZJUCSEEHdBuQmMgoKCCn1dlpCQAED16tVv+hnnz58nIiICX19foqKicHd3v6W+W7VqRVBQEIsW\nLSo2MFq8eDGLFy/OdywkJIQZM2bg5eV12/WbKhInJyf8/Pzu9W3cMRkZGTzx96c5qyVhMaXhmW3j\nq3YN8qXaK4pC97oBaAoMzckk42Iaml0ja2ccmgKqj5HYzFw8Pdx55om+vD3+LTw9Pe/hU905Ff3n\noSRkLPLIOFwnY4EjKWXYsGGcOXMm37n+/fvTv3//Mu+z3ARGTZo0ITo6GlVV8/3mvGfPHhRFoUmT\nJsVen5KSQkREBFarlejoaAIDA0vUf05ODmlpacW2Ke7/pPT0dEnXp+Knn46dNJ6Tpjh0eh1evR/C\nf92pIrfz6B7sz39Wx8N/OuClKNjtdqzHkgjYo7Jq3TJHMGSxWCrsmFX0n4eSkLHII+NwnYzF9XT9\nGTNm3LU+y01WWp8+fbBarcyePdtxzGw2M3/+fMLDw6lRowYAJpOJEydOYLPZHO2ysrLo3r07CQkJ\nrF27lpCQkEL7yMrKKnSt0ooVK0hNTaV58+Zl/FSiolBVlf8bN5qF3y1GyzTj0SMMl4cC8dbrit3O\nwxOFpBk/kfzxz+RM28cTNGb1wu8q7AyREELc78rNjFGLFi3o27cvY8eOJTEx0VH5Oj4+nnnz5jna\njRkzhgULFhAXF0ft2rUBGDBgAPv372fQoEEcPXqUo0ePOtp7eHjQq1cvAE6dOkWXLl3o168fDzzw\nADqdjv3797No0SJCQkIYMmTI3X1oUS6YTCa69IokLSsT72ebkLnpNC4PBaIoCmk2O5qmFRocaZpG\nhkGHd0QDAvaorF74nawjEkKIe6zcBEYA33zzDRMmTGDhwoWkpqbSuHFjoqKiaNOmjaONoijodPkn\nwg4dOoSiKMydO5e5c+fmOxccHOwIjGrWrEmfPn3Ytm0bCxYswGKxEBwczJAhQ/jPf/6Dr6/vnX9I\nUW6oqspb7/6XpWtWoPN2wXvAw7g8GEj2jjhHIJTVwJ/151LoHlzwddq6uCRyLTqeoDEjF8pWHkII\ncT8oN1uClHeyJUieivDOXFVVpr3zXzasXoGLXoens4HUHAtZzaqjPRZGyuf78B/aGkVRsOdYcPp0\nL9MeqEH34Otp+Ovik3kzJpFVm7dX6oCoIvw8lBUZizwyDtfJWNybLUHK1YyREPeaqqq88PSTWEwX\nmN6+AV1vCHbWxyUzfNYenEL9yP39Mi4PBqJzccLyakuGrT/FuLWH8NQgLTMXzdWT71ZFVeqgSAgh\n7kflZvG1EPeDz2dMIzg3lbEtQ4j4Y0NXuJ6C/9FfauJl18jcfJqc3xLRNA2dixNar4YkdQvlt0wz\nbZ58mj37D8l2HkIIcR+SGSMhSuCXHdHo1By61C68tkj3YH/Grb2ANiQcddNp1M2nQQGu5tK/Zx/+\ns3MBHh4eeHp6VvopciGEuB9JYCTELbJarWjZGbg76YtNwffS61CNBjwfe4Cc3xLJ/u53flq3TWaI\nhBCiHJDASIhiXEu1j42N5Y033iAp6SrBXi7FpuCnJGeS9MFOtCwzoTXqskiCIiGEKDckMBLiT27c\n68zmpJCVmkFaQjJWNQdvZz3hQV5sPpdC1yJS8K9qGm4WPVujtktAJIQQ5YwERkLcQFVVnvj701xp\n6Y7TSw+gKArOmobnkUTSFh0kLS2XLedSOH01G7umEXFjCn5cEsN2nqJb7z68NWa8ZJwJIUQ5JIGR\nEDf4YNZHXGnpjvODVR3HFEXBtXE1oAlX5/2CMaAadR5uxIQD+5i4+wwezgZydU606/Y3tu2T6tVC\nCFGeSWAkxA3Wb9+M0ysPFXrOpVE1vKv5s3XjVtzc3IC8NUVAkYuxhRBClC9Sx0gIwGaz8cUXX5CY\nnlz8pq9VfXF1dc13TIIiIYSoOGTGSFR61zLO9u/fjz7ArdiMM7258HNCCCEqBpkxEpWW1Wpl9uzZ\nREREsH//fgDsmWZyjiQW2t7y+xW6tO10N29RCCHEXSYzRqJSycjI4MNPprN++2ZSstPJvZqJXbE6\nzmvZVtIWHUSnPILzQ1UdGWeW369QZW8mI78Zfg/vXgghxJ0mgZGo8K7VJdq4YyuJlxNxe+ovuLzy\nED5/BD05f6Ti29NyCQ4O5p133iF67y62fBmN1QkMFvhbm46M/Ga4ZJwJIUQFJ4GRqNCu1SVKbO6K\nuaYO9w4P4vJgoOP8jan41ffmsGrJctzc3OjUqROTmFDkeiMhhBAVkwRGosIymUz0ffIxyEwn+IIT\nV3PM5No07PX80Lk45Wvr0qgaWXtOONLwr5GgSAghKhcJjESFZDKZ6B3ZiWmt6hIZ3NCxVmj9uRRG\nfLoXy6st8wVHiqJgdUJmiIQQopKTrDRRIb328iCmtapLtzoBjkBHURS6B/sz7YEa6NafytdeUvGF\nEEKABEaiAjpz5gyJZ04RWcgmrwDdg/1xP5mc75ik4gshhAAJjEQFYrPZmD17Nn/961/xdjYUW8Ha\nS69D0zQ0TcN89HJeKv5rkoovhBCVnawxEhXCmTNnGDFihKNQ49VcQ7EVrFOSM7k67Seqevrxt7ad\nJRVfCCEEIIGRKMc0TcNmszF37lymTp1KTk6O41xKroX18cl0rxNQ4Lp18ckoHt4c/HEbnp6ed/OW\nhRBC3OckMBLliqqqzPrgPXau/xEXm4W0XAuZZivONgs5N7RLy7IwbOcpNPLWFF3LSlsXn8zI3WdZ\nuUGCIiGEEAVJYCTKDVVVefHp3gyrbWDKE40cwc6m+GSm7DtLfHo2l7MtBAcH89FHH1GnTh1e//eL\njN9zAE9nPRlmGwF167FywzaqVat2rx9HCCHEfUgCI1Fu/O+jDxhW24nIOtezzRRFIeKP12XfnTQR\n5xbIgmUrHIUav/v+RwDsdjs6neQaCCGEKJ4ERuK+ZjKZGPHSIC7Hx+Jp0LHRbOV/Mef4vEtDgjxc\nHO26BvszK+Yczk45BapXAxIUCSGEuCUSGIn7lslk4umITrzfui4RrZo7Xp1tjE+m28pfWd/7EUdw\npCgKbgY9NsUu1auFEELcNgmMxH1HVVU+m/4hq5cu5sO29Yi8IbNMURQi6wSgAf/acozVvZoCeRlq\nmRYbdrtOgiIhhBC3TQIjcd+4lnG2ZfUKqrsacMJORBHVqyOD/Zn402nH3zfFJ1Pdw4VqHaR6tRBC\niNsnCy/EfUFVVV7q34dOiQfZ168Z3z/+MH4uTsVXrzYasNlsbIhL4r39Z4k3+vHy0BF3+c6FEEJU\nJDJjJO4Ln8+YxtCaescMkaIopOVai69enWOh9bJf0JyMdH7sKV4fOUaqVwshhCiVcjVjZDabGT16\nNDVq1MDNzY3w8HA2b9580+u2bt3KoEGDCAsLw93dnXr16jF48GBMJlO+dtnZ2Xz66adERkZSvXp1\nvLy8eOSRR/j888+x2+136rEqPavVSnTUGrrW9st3vLq7kY3xyYVesyE+mer1GrAh5hibDhxi7KS3\nJSgSQghRauUqMHr++eeZMWMGf//735k5cyYGg4EePXrw888/F3vd6NGj2b59O71792bWrFn079+f\nZcuW8cgjj3D58mVHuzNnzjBkyBAA3njjDaZNm0ZISAivvPIKgwYNuqPPVtmoqsqHb0+ib+e29G3d\nlKyMNN7Ze5YMs9XR5vMuDRm14yTr45LQNA3ImylaH5fE6J/PMu2LObLQWgghRJlStGv/xbnP7du3\nj/DwcKZNm8bw4Xm7oOfm5vLQQw8RGBjIrl27irx2165dtG3bNt+xnTt30qFDB8aPH89OLz3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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from pymks.tools import draw_goodness_of_fit\n", "\n", "\n", "fit_data = np.array([y, model.predict(X)])\n", "pred_data = np.array([y_new, y_predict])\n", "draw_goodness_of_fit(fit_data, pred_data, ['Training Data', 'Test Data'])\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can see that the `MKSHomogenizationModel` has created a homogenization linkage for the effective stiffness for the 6 different microstructures and has predicted the average stress values for our new microstructures reasonably well.\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## References\n", "\n", "[1] Landi, G., S.R. Niezgoda, S.R. Kalidindi, Multi-scale modeling of elastic response of three-dimensional voxel-based microstructure datasets using novel DFT-based knowledge systems. Acta Materialia, 2009. 58 (7): p. 2716-2725 [doi:10.1016/j.actamat.2010.01.007](http://dx.doi.org/10.1016/j.actamat.2010.01.007).\n", "\n", "[2] Çeçen, A., et al. \"A data-driven approach to establishing microstructure–property relationships in porous transport layers of polymer electrolyte fuel cells.\" Journal of Power Sources 245 (2014): 144-153. [doi:10.1016/j.jpowsour.2013.06.100](http://dx.doi.org/10.1016/j.jpowsour.2013.06.100)\n", "\n", "[3] Deshpande, P. D., et al. \"Application of Statistical and Machine Learning Techniques for Correlating Properties to Composition and Manufacturing Processes of Steels.\" 2 World Congress on Integrated Computational Materials Engineering. John Wiley & Sons, Inc. [doi:10.1002/9781118767061.ch25](http://dx.doi.org/10.1002/9781118767061.ch25)\n" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [] } ], "metadata": { "anaconda-cloud": {}, "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.6.1" } }, "nbformat": 4, "nbformat_minor": 1 }