{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Lab 1: Gaussian Process Regression\n",
"### Gaussian Process Summer School 2020\n",
"\n",
"This lab is designed to introduce Gaussian processes in a practical way, illustrating the concepts introduced in the first two lectures. The key aspects of Gaussian process regression are covered: the covariance function (aka kernels); sampling a Gaussian process; and the regression model. The notebook will introduce the Python library `GPy`$^\\dagger$ which handles the kernels, regression and optimisation of hyperparameter, allowing us to easily access the results we want.\n",
"\n",
"The level of this notebook is aimed at introductory, as the background of attendees is diverse, and so cover a wide range of basic GP concepts. There are seven exercises to complete, the difficulty of which varies, but you should aim to complete all during the lab session. The notebook will not be marked and we will provide answers to the exercises after the lab session.\n",
"\n",
"In addition, there is a second _optional_ notebook with extra work. The content of this is more advanced, so completion is at your discretion.\n",
"\n",
"$^\\dagger$`GPy`: A Gaussian process framework in Python (since 2012). Available from http://github.com/SheffieldML/GPy\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 1. Getting started\n",
"\n",
"First, we need to setup our notebook with the libraries we are going to use. We will use `numpy` for maths functionality, `pyplot` for plotting, and of course `GPy` for Gaussian processes."
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"# Support for maths\n",
"import numpy as np\n",
"# Plotting tools\n",
"from matplotlib import pyplot as plt\n",
"# we use the following for plotting figures in jupyter\n",
"%matplotlib inline\n",
"\n",
"import warnings\n",
"warnings.filterwarnings('ignore')\n",
"\n",
"# GPy: Gaussian processes library\n",
"import GPy"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The documentation for `GPy` is available at [gpy.readthedocs.io](http://gpy.readthedocs.io/en/deploy/). We will be using GPy to define our kernels, and regression. Note that `GPy` also contains plotting utilities, but we will not use these in this lab."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Covariance functions, aka kernels\n",
"\n",
"We will define a covariance function, from hereon referred to as a kernel, using `GPy`. The most commonly used kernel in machine learning is the Gaussian-form radial basis function (RBF) kernel. It is also commonly referred to as the exponentiated quadratic or squared exponential kernel – all are equivalent.\n",
"\n",
"The definition of the (1-dimensional) RBF kernel has a Gaussian-form, defined as:\n",
"\n",
"$$\n",
" \\kappa_\\mathrm{rbf}(x,x') = \\sigma^2\\exp\\left(-\\frac{(x-x')^2}{2\\mathscr{l}^2}\\right)\n",
"$$\n",
"\n",
"It has two parameters, described as the variance, $\\sigma^2$ and the lengthscale $\\mathscr{l}$.\n",
"\n",
"In GPy, we define our kernels using the input dimension as the first argument, in the simplest case `input_dim=1` for 1-dimensional regression. We can also explicitly define the parameters, but for now we will use the default values:"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"
rbf.
value
constraints
priors
\n",
"
variance
1.0
+ve
\n",
"
lengthscale
1.0
+ve
\n",
"
"
],
"text/plain": [
""
]
},
"execution_count": 2,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Create a 1-D RBF kernel with default parameters\n",
"k = GPy.kern.RBF(1)\n",
"# Preview the kernel's parameters\n",
"k"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We can see from the above table that our kernel has two parameters, `variance` and `lengthscale`, both with value `1.0`. There is also information on the constraints and priors on each parameter, but we will look at this later."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Visualising the kernel\n",
"\n",
"We can visualise our kernel in a few different ways. We can plot the _shape_ of the kernel by plotting $k(x,0)$ over some sample space $x$ which, looking at the equation above, clearly has a Gaussian shape. This describes the covariance between each sample location and $0$.\n",
"\n",
"Alternatively, we can construct a full covariance matrix, $\\mathbf{K}_{xx} \\triangleq k(x,x')$ with samples $x = x'$. The resulting GP prior is a multivariate normal distribution over the space of samples $x$: $\\mathcal{N}(\\mathbf{0}, \\mathbf{K}_{xx})$. It should be evident then that the elements of the matrix represents the covariance between respective points in $x$ and $x'$, and that it is exactly $\\sigma^2[=1]$ in the diagonal.\n",
"\n",
"We can show this using `pyplot` to plot the vector $k(x,0)$ and the matrix $k(x,x')$ using `k.K(`$\\cdot$ `,` $\\cdot$`)`:"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"data": {
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",
"text/plain": [
"
"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# Our sample space: 100 samples in the interval [-4,4]\n",
"X = np.linspace(-4.,4.,100)[:, None] # we need [:, None] to reshape X into a column vector for use in GPy\n",
"\n",
"# Set up the plotting environment\n",
"plt.figure(figsize=(18,5))\n",
"\n",
"# ==== k(x,0)\n",
"\n",
"plt.subplot(121) # left plot\n",
"\n",
"# First, sample kernel at x' = 0\n",
"K = k.K(X, np.array([[0.]])) # k(x,0)\n",
"\n",
"# Plot covariance vector\n",
"plt.plot(X,K)\n",
"\n",
"# Annotate plot\n",
"plt.xlabel(\"x\"), plt.ylabel(\"$\\kappa$\")\n",
"plt.title(\"$\\kappa_{rbf}(x,0)$\")\n",
"\n",
"# ==== k(x,x')\n",
"\n",
"plt.subplot(122) # right plot\n",
"\n",
"# The kernel takes two inputs, and outputs the covariance between each respective point in the two inputs\n",
"K = k.K(X,X)\n",
"\n",
"# Plot the covariance of the sample space\n",
"plt.pcolor(X.T, X, K)\n",
"\n",
"# Format and annotate plot\n",
"plt.gca().invert_yaxis(), plt.gca().axis(\"image\")\n",
"plt.xlabel(\"x\"), plt.ylabel(\"x'\"), plt.colorbar()\n",
"plt.title(\"$\\kappa_{rbf}(x,x')$\");"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Setting the kernel parameters\n",
"\n",
"Looking at the above definition of the RBF kernel, we can see that the parameters, i.e. variance and lengthscale, control the shape of the covariance function and therefore the value of the covariance between points $x$ and $x'$.\n",
"\n",
"We can access the value of the kernel parameters in `GPy` and manually set them by calling `k.param_name`, e.g. `k.lengthscale` or `k.variance` for the RBF kernel. The following example demonstrates how the value of the lengthscale affects the RBF kernel:"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"
"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# Our sample space : 100 samples in the interval [-4,4] \n",
"X = np.linspace(-4.,4.,250)[:, None] # we use more samples to get a smoother plot at low lengthscales\n",
"\n",
"# Create a 1-D RBF kernel with default parameters\n",
"k = GPy.kern.RBF(1)\n",
"\n",
"# Set up the plotting environment\n",
"plt.figure(figsize=(18, 7))\n",
"\n",
"# Set up our list of different lengthscales\n",
"ls = [0.25, 0.5, 1., 2., 4.]\n",
"\n",
"# Loop over the lengthscale values\n",
"for l in ls:\n",
" # Set the lengthscale to be l\n",
" k.lengthscale = l\n",
" # Calculate the new covariance function at k(x,0)\n",
" C = k.K(X, np.array([[0.]]))\n",
" # Plot the resulting covariance vector\n",
" plt.plot(X,C)\n",
"\n",
"# Annotate plot\n",
"plt.xlabel(\"x\"), plt.ylabel(\"$\\kappa(x,0)$\") \n",
"plt.title(\"Effects of different lengthscales on the Gaussian RBF kernel\")\n",
"plt.legend(labels=ls);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Exercise 1\n",
"\n",
"(a) What is the effect of the lengthscale parameter on the covariance function?"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"> It causes the covariances to be higher between more distant locations in the input domain, i.e. nearby samples from the corresponding Gaussian process will be more likely to be similar as the lengthscale increased."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"(b) Change the code used above to plot the covariance function showing the effects of the variance on the covariance function. Comment on the effect."
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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"text/plain": [
"
"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# Our sample space : 100 samples in the interval [-2,8] \n",
"X = np.linspace(-2., 8., 100)[:,None]\n",
"\n",
"# Note that the Brownian kernel is defined:\n",
"# k = min(abs(x),abs(x')) if sgn(x) = sgn(x')\n",
"# k = 0 if sgn(x) ≠sgn(x')\n",
"\n",
"# We define our Brownian kernel\n",
"k_B = GPy.kern.Brownian(1)\n",
"\n",
"plt.figure(figsize=(18,7))\n",
"\n",
"x_s = [0., 2., 4., 6.] # values of x'\n",
"# Loop through values of x'\n",
"for x_ in x_s:\n",
" # Evaluate kernel at k(x,x')\n",
" K_B = k_B.K(X, np.array([[x_]])) \n",
" # Plot covariance vector\n",
" plt.plot(X, K_B)\n",
" \n",
"# Annotate plot\n",
"plt.xlabel(\"x\"), plt.ylabel(\"$\\kappa$\")\n",
"plt.title(\"Effects of different inputs on a non-stationary, Brownian kernel\")\n",
"plt.legend(labels=[\"$\\kappa(x,0)$\", \"$\\kappa(x,2)$\", \"$\\kappa(x,4)$\", \"$\\kappa(x,6)$\"]);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"---"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 3. Combining covariance functions"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Exercise 2\n",
"\n",
"(a) A matrix, $\\mathbf{K}$, is positive semi-definite if the matrix inner product is greater than or equal to zero, $\\mathbf{x}^\\text{T}\\mathbf{K}\\mathbf{x} \\geq 0$, _regardless of the values in $\\mathbf{x}$_. Given this, it should be easy to see that the sum of two positive semi-definite matrices is also positive semi-definite. In the context of Gaussian processes, this is the sum of two covariance functions. What does this mean from a modelling perspective?"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"> Thinking about the sum of two kernels in terms of the sum of two normal distributions. If we consider two independent kernels, k1 and k2, and corresponding covariance matrices over some (joint) sample space: A=k2(x,xT) and B=k2(x,xT), then the sum of two corresponding normal distributions with zero mean and covariance defined by the respective matrices, N(0,A)+N(0,B)=N(0,A+B). From this we can infer that since the RHS of the equality is a valid distribution, A+B must be postive semi-definite, and so (x,x′)↦k1(x,x′)+k2(x,x′) results in positive semi-definite matrices regardless of x and x′.\n",
"\n",
"> The equality holds only when k1 and k2 (and therefore A and B) are independent . From a modelling perspective, this means we can use summative covariance functions to describe different, independent features in the modelled system. For example, we might want to separate some seasonality from an overall increasing trend. The sum of two kernels would allow use to do that. This is the motivation used in Section 7, using the Mauna Loa example."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"(b) What about the element-wise product of two covariance functions? If we define $k(\\mathbf{x}, \\mathbf{x}') = k_1(\\mathbf{x},\\mathbf{x}')k_2(\\mathbf{x},\\mathbf{x}')$, then is $k(\\mathbf{x},\\mathbf{x}')$ a valid covariance function?"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"> The product of two kernels is semi-positive definite, since the product of two semi-positive definite matrices is semi-positive definite.\n",
"\n",
"> In terms of modelling, this is less interpretable than in the additive case. In multidimensional input regression, for example, the product of kernels defined over different input variables can be used to combine information. The product of kernels might be considered similar to an AND operator, since the value of the kernel product will have high value if and only if the consitutient kernels both have high values. When modelling a stochastic process that is the product of two Gaussian process, the modelled function in general will not be Gaussian, but the Gaussian process with the covariance of products of the individual GP kernels exists."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Combining kernels in GPy\n",
"\n",
"We can easily combine kernels using `GPy` using the `+` and `*` operators, respectively denoting addition and product of kernels."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Summing kernels\n",
"An example of adding kernels is shown here. We create a new kernel that is the `sum` of an RBF and a Matern 5/2 kernel."
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"
sum.
value
constraints
priors
\n",
"
RBF.variance
1.0
+ve
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"
RBF.lengthscale
2.0
+ve
\n",
"
Matern52.variance
2.0
+ve
\n",
"
Matern52.lengthscale
4.0
+ve
\n",
"
"
],
"text/plain": [
""
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Create the first kernel: a 1-D RBF with lengthscale 2.0\n",
"k_R = GPy.kern.RBF(1, lengthscale=2., name=\"RBF\")\n",
"# Create the second kernel: a 1-D Matern52 with variance 2.0 and lengthscale 4.0\n",
"k_M = GPy.kern.Matern52(1, variance=2., lengthscale=4., name=\"Matern52\")\n",
"\n",
"# Add the kernels together\n",
"k_sum = k_R + k_M\n",
"# Preview the properties of the composite kernel\n",
"k_sum"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We can visualise our kernel sum to see the resulting effect. It should be fairly clear that the result is simply the sum of evaluations of the respective kernels for each sample point."
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"
"
],
"text/plain": [
""
]
},
"execution_count": 11,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Create the first kernel: a 1-D RBF with lengthscale 5.0\n",
"k_R = GPy.kern.RBF(1, lengthscale=5., name=\"RBF\")\n",
"# Create the second kernel: a 1-D StdPeriodic with period 5.0\n",
"k_P = GPy.kern.StdPeriodic(1, period=5., name=\"Periodic\")\n",
"\n",
"# Multiply the kernels together\n",
"k_mul = k_R * k_P\n",
"\n",
"# Preview the properties of the composite kernel\n",
"k_mul"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"
"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# Our sample space : 100 samples in the interval [-10,10] \n",
"X = np.linspace(-10., 10., 100)[:,None]\n",
"\n",
"# Set up the plotting environment\n",
"plt.figure(figsize=(18,7))\n",
"\n",
"# Here we sample from the consituent and composite kernels\n",
"K_R = k_R.K(X, np.array([[0.]])) # RBF\n",
"K_P = k_P.K(X, np.array([[0.]])) # StdPeriodic\n",
"K_mul = k_mul.K(X, np.array([[0.]])) # RBF * StdPeriodic\n",
"\n",
"# Plot each of our covariance vectors\n",
"plt.plot(X, K_R, X, K_P, X, K_mul)\n",
" \n",
"# Annotate plot\n",
"plt.xlabel(\"x\"), plt.ylabel(\"$\\kappa$\")\n",
"plt.legend(labels=[\"Gaussian RBF\", \"Periodic\", \"RBF x Periodic\"]);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"---"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 4. Sampling from a Gaussian Process\n",
"\n",
"A Gaussian process provides a prior over some infinite-dimensional function, defined by a mean function and covariance function\n",
"\n",
"$$ f(x) \\sim \\mathcal{GP}(m(x), k(x,x'))$$\n",
"\n",
"When we sample from the covariance function, $k$, to create a matrix over some sample space, we are creating a matrix of values that describe the covariance between sample points. Since it is not possible to sample every single point in an infinite dimensional function, we have to sample a finite subset of the input domain. Let $\\mathbf{X}$ denote some sample inputs, and $\\mathbf{K}$ the covariance matrix, with elements $K_{ij} = k(\\mathbf{X}_i,\\mathbf{X}_j)$, then we can describe the prior over $f(\\mathbf{X})$ as a (finite-dimensional) normal distribution with covariance $\\mathbf{K}$. As such, we can easily create samples of $f$ which, for a good choice of $\\mathbf{X}$, are representative of the true function.\n",
"\n",
"We can also sample from the kernel prior by creating a covariance matrix over a sample space and sampling from a zero-mean multivariate normal distribution with covariance $\\mathbf{K}$. Below are examples of different kernels with different parameters, including composite kernels."
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {
"scrolled": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"The following plots demonstrate samples from a Gaussian process prior and the corresponding covariance matrix\n"
]
},
{
"data": {
"image/png": 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",
"text/plain": [
"
"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"ks = [ # List of example kernels\n",
" GPy.kern.RBF(1, lengthscale=1.),\n",
" GPy.kern.RBF(1, lengthscale=0.5),\n",
" GPy.kern.RBF(1, lengthscale=0.25, variance=2.),\n",
" GPy.kern.Exponential(1),\n",
" GPy.kern.Matern32(1),\n",
" GPy.kern.Matern52(1),\n",
" GPy.kern.StdPeriodic(1, period=2.),\n",
" GPy.kern.Cosine(1),\n",
" GPy.kern.Brownian(1),\n",
" GPy.kern.Linear(1),\n",
" GPy.kern.Bias(1),\n",
" GPy.kern.White(1),\n",
" GPy.kern.StdPeriodic(1)*GPy.kern.RBF(1),\n",
" GPy.kern.Linear(1) + GPy.kern.Exponential(1)\n",
"]\n",
"# The name of our kernels (for the legend)\n",
"kernel_name = [\"RBF ls=1\", \"RBF ls=0.5\", \"RBF ls=0.25, var=2\", \"Exponential\", \"Matern 3/2\", \n",
" \"Matern 5/2\", \"Periodic\", \"Cosine\", \"Brownian\", \"Linear\", \"Bias\", \"White\", \"Periodic x RBF\", \"Linear + Exponential\"]\n",
"\n",
"# Our sample space\n",
"X = np.linspace(-5., 5., 250)[:, None]\n",
"\n",
"print(\"The following plots demonstrate samples from a Gaussian process prior and the corresponding covariance matrix\")\n",
"\n",
"# Loop through our kernels\n",
"for i,k in enumerate(ks):\n",
" # The mean function is set to 0\n",
" mu = np.zeros((250)) # we have 250 sample inputs\n",
" # Get the covariance matrix\n",
" if i is not 11:\n",
" C = k.K(X,X)\n",
" else: # We have to sample White noise kernel differently\n",
" C = k.K(X)\n",
" \n",
" # Sample 5 times from a multivariate Gaussian distribution with mean 0 and covariance k(X,X)\n",
" Z = np.random.multivariate_normal(mu, C, 5)\n",
" \n",
" # Setup figure environment\n",
" plt.figure(figsize=(18, 7))\n",
" \n",
" # Show samples on left hand side\n",
" plt.subplot(121)\n",
" for j in range(5 if i < 11 else 2): # Loop through samples\n",
" plt.plot(X[:],Z[j,:])\n",
" plt.title(kernel_name[i])\n",
" \n",
" # Visualise covariance matrix on right hand side\n",
" plt.subplot(122)\n",
" plt.pcolor(X.T, X, C)\n",
" # Annotate plot\n",
" plt.gca().invert_yaxis(), plt.gca().axis(\"image\")\n",
" plt.colorbar()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"These samples are from the Gaussian process prior made up of the covariance function and a zero mean. After GP regression, the fitted posterior can also be sampled in this manner, to get samples of the fitted function.\n",
"\n",
"### Exercise 3\n",
"\n",
"Can you identify the covariance function used to generate the following samples?\n",
"\n",
"![exercise_3](https://github.com/gpschool/labs/raw/2019/.resources/lab1_kernel_samples_example.png)\n",
"\n",
"Options: _Periodic * Matern 5/2; Matern 3/2 + Bias; Brownian * RBF; Linear * Cosine; RBF; Exponential_"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Below is a utility function you may find helpful to plot kernel samples, e.g. `plot_K_samples(GPy.kern.RBF(1))`"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [],
"source": [
"def plot_K_samples(kernel, N=2):\n",
" X = np.linspace(0, 5., 250)[:, None]\n",
" # Zero mean\n",
" mu = np.zeros((250)) \n",
" # Get the covariance matrix\n",
" C = kernel.K(X)\n",
"\n",
" # Sample 5 times from a multivariate Gaussian distribution with mean 0 and covariance k(X,X)\n",
" Z = np.random.multivariate_normal(mu, C, N)\n",
"\n",
" for j in range(N): # Loop through samples\n",
" plt.plot(X[:],Z[j,:])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"> (a) Gaussian / RBF\n",
">\n",
"> (b) Linear * Cosine\n",
">\n",
"> (c) Matern 3/2 + Bias\n",
">\n",
"> (d) Exponential\n",
">\n",
"> (e) Brownian * RBF\n",
">\n",
"> (f) Periodic * Matern 5/2\n",
"\n",
"Generated using the following code:\n",
"```python\n",
"f, axs = plt.subplots(2,3,figsize=(18,12))\n",
"X = np.linspace(0., 5., 1000)[:, None]\n",
"ks = [\n",
" GPy.kern.RBF(1, lengthscale=0.25),\n",
" GPy.kern.Cosine(1, lengthscale=0.1) * GPy.kern.Linear(1),\n",
" GPy.kern.Bias(1) + GPy.kern.Matern32(1, lengthscale=0.5, variance=1),\n",
" GPy.kern.Exponential(1, lengthscale=0.3),\n",
" GPy.kern.RBF(1, lengthscale=0.5) * GPy.kern.Brownian(1),\n",
" GPy.kern.Matern52(1, lengthscale=0.15) * GPy.kern.StdPeriodic(1)\n",
"]\n",
"\n",
"labels = [\"(a)\", \"(b)\", \"(c)\", \"(d)\", \"(e)\", \"(f)\"]\n",
"\n",
"for i in range(2):\n",
" for j in range(3):\n",
" k = ks[i*3+j]\n",
" plt.sca(axs[i,j])\n",
" plot_K_samples(k)\n",
" axs[i,j].set_title(labels[ i*3+j])\n",
" axs[i,j].tick_params(\n",
" axis=\"both\",\n",
" which=\"both\",\n",
" bottom=False,\n",
" left=False,\n",
" labelleft=False,\n",
" labelbottom=False\n",
" )\n",
" axs[i,j].axis(\"tight\")\n",
"```"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"---"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 5. Gaussian Process Regression\n",
"\n",
"We will now use our Gaussian process prior with some observed data to form a GP regression model. \n",
"\n",
"Suppose we have a data model for which we only have noisy observations, $y = f(x) + \\epsilon$ at some small number of sample locations, $\\mathbf{X}$. Here, we set up an example function\n",
"\n",
"$$\n",
" f(x) = -\\cos(2\\pi x) + \\frac{1}{2}\\sin(6\\pi x)\n",
"$$\n",
"$$\n",
" \\mathbf{y} = f(\\mathbf{X}) + \\epsilon, \\quad \\epsilon \\sim \\mathcal{N}(0, 0.01)\n",
"$$"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"
"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# lambda function, call f(x) to generate data\n",
"f = lambda x: -np.cos(2*np.pi*x) + 0.5*np.sin(6*np.pi*x)\n",
"\n",
"# 10 equally spaced sample locations \n",
"X = np.linspace(0.05, 0.95, 10)[:,None]\n",
"\n",
"# y = f(X) + epsilon\n",
"Y = f(X) + np.random.normal(0., 0.1, (10,1)) # note that np.random.normal takes mean and s.d. (not variance), 0.1^2 = 0.01\n",
"\n",
"# Setup our figure environment\n",
"plt.figure(figsize=(18, 7))\n",
"\n",
"# Plot observations\n",
"plt.plot(X, Y, \"kx\", mew=2)\n",
"\n",
"# Annotate plot\n",
"plt.xlabel(\"x\"), plt.ylabel(\"f\")\n",
"plt.legend(labels=[\"sample points\"]);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We will first fit a Gaussian process using the exact equations.\n",
"\n",
"A Gaussian process regression model using a Gaussian RBF covariance function can be defined first by setting up the kernel:"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {},
"outputs": [],
"source": [
"k = GPy.kern.RBF(1, variance=1., lengthscale=0.1, name=\"rbf\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"And then combining it with the data to form a Gaussian process regression model, with $\\mathbf{X}^*$ representing _any_ new inputs (imagine $\\mathbf{f}^*$ approximates $f(\\mathbf{X}^*)$):\n",
"\n",
"$$\n",
"\\left.\\mathbf{f}^*\\,\\right|\\,\\mathbf{X}^*,\\mathbf{X},\\mathbf{y} \\sim \\mathcal{N}\\left(\\mathbf{m}, \\mathbf{C}\\right),\n",
"$$\n",
"\n",
"where $\n",
"\\mathbf{m} = \\mathbf{K}_{*x}(\\mathbf{K}_{xx} + \\sigma^2\\mathbf{I})^{-1}\\mathbf{y}$ and $\\mathbf{C} = \\mathbf{K}_{**} - \\mathbf{K}_{*x}(\\mathbf{K}_{xx} + \\sigma^2\\mathbf{I})^{-1}\\mathbf{K}_{*x}^\\text{T}\n",
"$ and covariance matrices are defined by evaluations of the kernel functions: $\\mathbf{K}_{xx} = k(\\mathbf{X}, \\mathbf{X})$; $\\mathbf{K}_{*x} = k(\\mathbf{X}^*, \\mathbf{X})$; and $\\mathbf{K}_{**} = k(\\mathbf{X}^*,\\mathbf{X}^*)$."
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {},
"outputs": [],
"source": [
"# New test points to sample function from\n",
"Xnew = np.linspace(-0.05, 1.05, 100)[:, None]\n",
"\n",
"# Covariance between training sample points (+ Gaussian noise)\n",
"Kxx = k.K(X,X) + 1 * np.eye(10)\n",
"\n",
"# Covariance between training and test points\n",
"Ksx = k.K(Xnew, X)\n",
"\n",
"# Covariance between test points\n",
"Kss = k.K(Xnew,Xnew)\n",
"\n",
"# The mean of the GP fit (note that @ is matrix multiplcation: A @ B is equivalent to np.matmul(A,B))\n",
"mean = Ksx @ np.linalg.inv(Kxx) @ Y\n",
"# The covariance matrix of the GP fit\n",
"Cov = Kss - Ksx @ np.linalg.inv(Kxx) @ Ksx.T"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Here we define a quick plotting utility function for our GP fits. There are a number of plotting options available in GPy, but we will use the below method, which plots the mean and 95% confidence fit of a GP for a given input $\\mathbf{X}^*$. Optionally, we will allow it to plot the initial training points."
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {},
"outputs": [],
"source": [
"def plot_gp(X, m, C, training_points=None):\n",
" \"\"\" Plotting utility to plot a GP fit with 95% confidence interval \"\"\"\n",
" # Plot 95% confidence interval \n",
" plt.fill_between(X[:,0],\n",
" m[:,0] - 1.96*np.sqrt(np.diag(C)),\n",
" m[:,0] + 1.96*np.sqrt(np.diag(C)),\n",
" alpha=0.5)\n",
" # Plot GP mean and initial training points\n",
" plt.plot(X, m, \"-\")\n",
" plt.legend(labels=[\"GP fit\"])\n",
" \n",
" plt.xlabel(\"x\"), plt.ylabel(\"f\")\n",
" \n",
" # Plot training points if included\n",
" if training_points is not None:\n",
" X_, Y_ = training_points\n",
" plt.plot(X_, Y_, \"kx\", mew=2)\n",
" plt.legend(labels=[\"GP fit\", \"sample points\"])"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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l9x8KhYhEIlN2f4XCyVbXKeDfWWtXAjcBv2eMWelgPSIiIiIiecEYwzPPPMMvf/lLFixYwA033MDv/M7v8Dd/8zdTcv9f+tKX+MpXvsL69euZmJiYkvssBMZa63QNABhjfgx8y1r70uVus2nTJrt9+/YZrEpEREREitGhQ4dYsWKF02XIu7jU78kYs8Nae8lODnmxyakxZj6wAXjT4VJERERERGSWcrzhgTGmDPgR8G+tte/oIWiMeRB4EGDu3LkzXJ2ISHGKJdOMJ9KMxVMk0hk8LoPLGNwuk/08d+rzuCj1Of5SIiIiMimOvmIZY7xkg89j1tqnLnUba+13gO9AdtrbDJYnIjKrxZJpukdidI5MMDSWZCyeYiyRYiyeIpme/L9bn8dFRamXihJf9rTUS0Wpj6pSHyU+97vfgYiIyAxxLPwYYwzwj8Aha+3fOVWHiEixGBlP0jE8QdfIBJ0jMQaicaZi2WcilaF3NE7vaPwd11WX+WipLKG5opSWyhKCfo0SiYiIc5x8FboV+G1gnzFmd+6yP7HWPu9cSSIis8vgWILDXaMc7o4wMpGc8ccfiCYYiCbY0zYCQFUwG4ZaKkuZX1OK36ORIRERmTmOhR9r7VbAOPX4IiKz1XgixeHuCIe7IvSMxpwu5wKDYwkGxxLsbR/B4zLMrwmyrCHEgpogXnde9OAREZFZTK80IiKzgLWWoz0Rnt7Vzv/41Sl+eaQv74LPxVIZy/HeKD/Z28V3fnWS5/d1cbw3Qiqdcbo0EZGr8u1vf5ve3t5z53t7e/n2t7/tYEVX7/bbb2c6t5TZvHkzf/3Xf33F25w+fZrHH3982mqAPOj2JiIi1y6TsRzujrDt9CCDYwmny7lmiVSGI90RjnRH8HlcrGgMsbalgpoyv9OliYhc0be//W1+//d/n0ceeYRXXnkFgDvuuIODBw8C8Hu/93tOlpc37r33Xu69994r3uZs+Pnc5z43bXVo5EdEpAClM5b9HSN899en+emB7oIOPhdLpDLsaRvhX15v5Yfb2zjSHSGdUbNPEclPDzzwACtXruTgwYOsXr2a1atXc/DgQVauXMkDDzxwzfc7NjbGJz7xCdatW8fq1av5wQ9+AMA3vvENrr/+elavXs2DDz6IzXWuuf322/njP/5jNm3axIoVK9i2bRuf+tSnWLJkCX/6p38KZMPF8uXL+fznP8+KFSv4zGc+w/j4+Dse+2c/+xk333wzGzdu5IEHHiAajb7jNrfffjt/9Ed/xPr161m9ejVvvfUWAIODg9x///2sXbuWm266ib179wLw3e9+l9///d8H4Etf+hJ/+Id/yC233MLChQt58sknAfj617/Oli1bWL9+Pf/5P/9nDhw4wA033MD69etZu3Ytx44du+af51kKPyIiBSSVzrCnbZh/eu0ULx3scaSJwUzqGJrg+X1d/OPWk/z6eD+jsdn9/YpI4amrq+OVV16htraWvr4++vr6qK2t5ZVXXqGuru6a7/fFF1+kqamJPXv2sH//fu68804Afv/3f59t27axf/9+JiYmeO655859jc/nY/v27XzlK1/hvvvu49vf/jb79+/nu9/9LgMDAwAcOXKEhx56iEOHDlFeXs4jjzxyweP29/fzl3/5l/z85z9n586dbNq0ib/7u0s3Zh4fH2f37t088sgjfPnLXwbgz/7sz9iwYQN79+7lr/7qr/jiF794ya/t6upi69atPPfcc3z9618H4K//+q+57bbb2L17N3/8x3/MP/zDP/BHf/RH7N69m+3bt9PS0nLNP8+zFH5ERArEsZ4I3/31aV4+3EsklnK6nBk1Fk/z5qlB/mnraX6yt4veSH6vZxIRea/WrFnDSy+9xL//9/+eLVu2EA6HAXjllVe48cYbWbNmDS+//DIHDhw49zVnp5WtWbOGVatW0djYiN/vZ+HChbS1tQEwZ84cbr31VgC+8IUvsHXr1gse94033uDgwYPceuutrF+/nn/+53+mtbX1kjV+9rOfBeD9738/o6OjDA8Ps3XrVn77t38bgA9+8IMMDAwwOjr6jq+9//77cblcrFy5kp6enkve/80338xf/dVf8Td/8ze0trZSUlIy6Z/f5Sj8iIjkueHxBE/vaue5vV1FF3oulsk1dnjsjTM8vaud9qF3TtcQEZlJvb293HHHHedGfM6OAN1xxx0XNEG4WkuXLmXnzp2sWbOGP/3TP+Ub3/gGsViMhx56iCeffJJ9+/bxu7/7u8Rib78Z5Pdn10m6XK5zn589n0plXz+yW22+7eLz1lo+8pGPsHv3bnbv3s3Bgwf5x3/8x0vW+G73dSXn12cvs+nc5z73OTZv3kxJSQl33XUXL7/88qTv/3IUfkRE8lQqneHXJ/r5l9dbOd2vg/yLne4f54nt7fxg2xlO9EUv++IpIjKdnnjiiXNrfPbv38/+/fvPrQF64oknrvl+Ozs7KS0t5Qtf+AJf/epX2blz57mgU1NTQzQaPbdW5mqcOXOG119/HYDHH3+c973vfRdcf9NNN/Haa69x/PhxILv26OjRo5e8r7PrkLZu3Uo4HCYcDnPbbbfx2GOPAfDqq69SU1NDeXn5pGoLhUJEIpFz50+ePMnChQv5wz/8Q+67775z64feC3V7ExHJQ6f6x3jlcO+sX9MzFTqHY2ze3UlNmY8bFlSztL7sqt59FBF5L852c3vggQfOrfF55ZVXeOKJJ95Tp7d9+/bx1a9+FZfLhdfr5e///u+pqKjgd3/3d1m9ejUNDQ1cf/31V32/y5Yt49vf/jZf/vKXWblyJf/m3/ybC66vra3lu9/9Lp/97GeJx+MA/OVf/iVLly59x30FAgE2bNhAMpnkf/7P/wnAn//5n/PlL3+ZtWvXUlpayj//8z9Pura1a9fidrtZt24dX/rSl4jH4/zLv/wLXq+XhoYG/uRP/uSqv9+LmUJ6p2zTpk12OvuPi4g4bTyR4heHejne+87OOjI5NWU+blxYzZI6hSARuXaHDh1ixYoVTpcxpU6fPs3dd9/N/v373/N93X777fzt3/4tmzZtmoLKrt2lfk/GmB3W2ksWppEfEZE8cap/jJcOdjMWTztdSkHrjyb4yd4uakJ+bl5YxeK6kNMliYhInlD4ERFxWCqdYcvxfva0DVNAg/F5rz8S59k9XdSVD3LTwmoW1ZY5XZKIiKPmz58/JaM+kF3PU4gUfkREHNQfjfPC/m76I3GnS5m1ekfjbN7dSUM4wC2LqplXHXS6JBERcYjCj4iIQ3a3DbPlaB+pjIZ7ZkL3SIyndnYwp6qUWxZV01Tx3veLEJHZzVqrtYN57Fp6Fyj8iIjMsFgyzU8PdHOyb8zpUopS2+A4PxgcZ2FtkFsW1VAb8r/7F4lI0QkEAgwMDFBdXa0AlIestQwMDBAIBK7q6xR+RERmUF8kzrN7OtXCOg+c7BvjVP8YS+tD3Lywmsqgz+mSRCSPtLS00N7eTl9fn9OlyGUEAgFaWlqu6msUfkREZsjRnggvHewhkco4XYrkWAtHuiMc64mysqmcGxdWUR7wOl2WiOQBr9fLggULnC5DppjCj4jINLPW8trxAbadHnS6FLmMjLXs7xjhcNcoq1vC3DC/iqBfL5EiIrON/rOLiEyjWDLNi/u7OdWv9T2FIJWx7D4zzIGOEdbPqWTT/EoCXrfTZYmIyBRR+BERmSYD0ez6nqFxre8pNMm0ZdvpQfa0D7NxbiUb5lYoBImIzAIKPyIi0+BU/xjP7+vS+p4Cl0hleOPkALvahtgwRyFIRKTQKfyIiEyxfe0jvHy4l8w17D8g+SmefDsErZ9Twca5mg4nIlKIFH5ERKbQa8f7eeuUGhvMVvFkhjdPDrLrzDAb5lSwcZ5CkIhIIVH4ERGZAumM5aWD3RzqijhdisyARCrDm6cG2dU2zJrmMBvmVhBSi2wRkbyn8CMi8h7FU2me29PFmcFxp0uRGZZIZdjROsTutmGW1ofYNL+SmjK/02WJiMhlKPyIiLwHkViSZ3Z30h+JO12KOCidsRzqGuVQ1ygLaoJcN6+SOVWlTpclIiIXUfgREblGfZE4P97dQSSWcroUySOn+sc41T9GfXmA9XMqWFpfhsftcrosERFB4UdE5Jp0Dk/wzO4O4km1spZL6xmN8dMD3fzqmJsVjeWsbQ5TGfQ5XZaISFFT+BERuUqn+8d4bm8nybRaWcu7m0ik2dk6xK4zQ8ypLGVtS5hFtWW4XMbp0kREio7Cj4jIVTjaE+HF/d2kMwo+cnWshTOD45wZHKfM72FFYznLGkLUhtQgQURkpij8XKM9bcM0V5aoq49IEdnXPsIvDvegvUvlvYrGU2w7Pci204PUlPlYWh9ieUM54VK1yxYRmU4KP9doNJZk67Z+7lzdwKLaMqfLEZFptv30IFuO9TtdhsxC/dEE/dEBfn1igMZwgGUNIZbUhyjz6yVaRGSq6T/re5BIZXh2Tye3Lq7h+vlVTpcjItNk67F+tp0edLoMKQJdIzG6RmL88mgftSE/C6qDzK8J0hgOYIzWCImIvFcKP++RtdkDo4Fogg+vqFM7U5FZxFrLy4d72ds+4nQpUmSshd7ROL2jcd48NUjA62ZedSnzq4PMryml1KeXbxGRa6H/nlPkUNcow+MJ7lnXRFBTFUQKXiZj+dnBHg51jTpdigixZJoj3RGOdEcAqCz10lhRQlO4hMaKANVBn0aGREQmQUfpU6hrJMb33jrDveuaqCsPOF2OiFyjdMby4v5ujvZEnC5F5JKGxpMMjSc52JkN536vi8ZwgMZwthFPddBHRalXgUhE5CIKP1MsEkvxxI52PrGmkfk1QafLEZGrlEpn+Mm+Lk72jTldisikxZMZTvePc7p//NxlHpehMuijpsxHVdBPdZmPcImXUMCD3+N2sFoREeco/EyDRCrD5j2dfGRlPSsay50uR0QmKZnONjFpHRh/9xuL5LlUxtIXidMXiQMXjmL6PC7KAx5CAS9lfg+hgIeg30PA6yLgdZ/7KPG6cWszVhGZRRR+pkk6Y/npgW7G4ik2qROcSN5LpDI8s7uDjqEJp0sRmXaJVCbXYjvxrrf1ug0BrxuPy+Bxu/C5XXjc2c+9LoPX7cLtMrhcBo/L4DIGjzt36jK4cx+ec6cu3O7sea/bhddt8Hmy96tpeiIy3RR+ppG1sOVYP9F4ig8srdU/dZE8FUumeWZXB10jMadLEck7ybQlmU5N++MYA95cuPJ5XJR43ZT63QR9Hkp9boL+t0/LA15KfJq6JyJXT+FnBuw6M8x4Is3HVjVo+oBInplIpHlqVzu9o3GnSxEpatZmR6QSqQxM4s+xxOemstRLZamPqqCPyqCPqtLsuiaXXmtF5DIUfmbIke4IE4k0d69r1EJTkTwxnkjxox3tk5r6IyL5ZSKRZiKRpnP4whFbr9tQXx6guaKExooSGsMBAl697opIlsLPDDozOM6TO9r55IZmbVAn4rBoPMVTO9sZUPARmVWSaUv70ATtufV7xkB10EdTRQnNlSXMrw4qDIkUMR2Bz7De0ThPbG/nUxubCQW8TpcjUpQisSQ/2tHO0HjS6VJEZJpZy7nmDnvbR3C7DC2VJSyuK2NRbZk2JhcpMvqLd8DgWIIntrfz6Y0thEsVgERm0shENviMTCj4iBSjdMbSOjBO68A4Lx/upTEcYHFdGYtrQ3pNFikCCj8OGZlI8sPtbXxqYzPVZX6nyxEpCsPjCZ7c0U4kNv2dq0Qk/1kLncMxOodjbDnWz5zKUtbNqWBhTVBNE0RmKYUfB0XjqXNrgOrKA06XIzKrDY4l+NGOdqJxBR8ReSdrs2tzzwyOEwp4WNMcZnVzWNPiRGYZl9MFFLvxRJond7bTOayNFUWmS380zpM72hR8RGRSIrEUvz4xwD9uPcXz+7poHxp3uiQRmSIKP3kgnszw9K4O2gb1z1VkqvWOxnhyRztj8bTTpYhIgUlnLEe6IzyxvZ0fbm9TCBKZBRR+8kQileGZXR2c6h9zuhSRWaNrZIInd7YzkVDwEZH3pmNogie2t/PUzna6RjRbQ6RQKfzkkVTG8uyeTo73Rp0uRaTgtQ+N89TODuLJjNOliMgs0jowzvffauPHuzvojcTe/QtEJK8o/OSZdMby/L4ujvVEnC5FpGC1DozxzK4OEikFn+mwdfNjRIYGzp2PDA2wdfNjDlYkMvNO9o3x+JtneG5vJyPaM0ykYKiFSR7KBqBuPmYtyxvKnS5HpKCc7Ivyk71dpDLW6VJmpa2bH+Opb32D1559nIcefhSAR772RXpajwPwvns/72R5IjPKWjjWE+V0/xjXz69i0/wq3GqRLZLXFH7yVMZaXtzfTSYDK5sUgEQm41hPhBf2d5NW8Jk26267k9eefZye1uN888G7AYiODFI/bzHrbrvT4epEnJFMW359YoDD3RE+uLyOOVWlTpckIpehaW95zFr42cFu9neMOF2KSN472DnK8/sUfKZbqLKahx5+lLJwFdGRQaIjg5SFq3jo4UcJVVY7XZ6IowbHshspv7i/i/GEWuuL5CON/OQ5a+Hnh3pIZyzr5lQ4XY5IXtp1ZohfHu3DKveISB441BXhZP8Y71tcw5rmMMZoKpxIvtDITwGwFl4+3MvOM0NOlyKSd944OcCrRxR8ZkpkaIBHvvbFcyM+Z0eAHvnaFy9ogiBS7OLJDL841MuTO9qJxNQQQSRfKPwUkF8e6WPb6UGnyxDJG7882sfrJ3TAPZP2bHmRntbj1M9bzFe/8xxf/c5z1M9bTE/rcfZsedHp8kTyTvvQBP/6xhl1cRXJE5r2VmC2HusnlbbcvEhz66V4ZTKWnx/q4UDnqNOlFJ2z3dzW3XbnuTU+Dz38KHu2vKhObyKXEUumeW5vF6uaxrh9WR0+j957FnGK/voK0BsnB9h6rN/pMkQckc5Ynt/fpeDjoPfd+/kLmhuEKqsVfEQm4UDnKI+/2Ur3iDZHldkjnbEFtTRD4adAbTs9yKtHep0uQ2RGJdMZNu/p4FhP1OlSRESuydB4kh9ub+OtU4NYLVaUWeCXR3vpHS2cQK/wU8B2nRnmF4d69M9TisJEIs2PdrRzun/c6VJERN6TdMby2vF+nt7VQSyZdrockWt2qGuUPW2FtSWLwk+B29s+wksHFYBkdhsZT/KDbWfo0lQREZlFWgfGefzNM/RF4k6XInLV+qNxfnGox+kyrprCzyxwoHNUu9rLrNUzGuP7284wNK5WsSIy+4xMZKfBHVU3OCkgiVSGn+ztIpkuvGNPhZ9Z4kh3hGf3dJJMZ5wuRWTKnO4f48kd7YwnNC1ERGavsweSW4/1ayaHFISXDvYwOJZwuoxrovAzi5zqH+PpnZo/LLPDgc4Rfry7k0RKgV5EisO204P8eHenXsclr+06M1TQI5UKP7NMx/BE7p3ylNOliFyzN08O8LMDPWT0DqiIFJlT/WN8/60zDES1DkjyT+fwBFsKfLsVhZ9ZqC8S54fb2hiNaY2EFJZ0xvLSwR5+fWLA6VJERBwzNJ7kB9vbaBtUd0vJHxOJNM/v6yr4NeYKP7PU0HiSH25rK9j5mFJ8JhJpntrZzv6OwmqZKSIyHeLJDE/v6uBId+FOL5LZw1rLiwe6iMQKf2aRws8sFomleGJ7Gz0FtPGUFKf+aJzvvXWG9qEJp0sREckb6Yzlhf1dbD896HQpUuR2tA7Nmn32FH5mufFEmid3tHOyL+p0KSKXdLIvyg+2tTEyoWmaIiIXsxa2HOvnlSO96gQnjugamZhV09EVfopAIpXh2T1d7G4bdroUkQtsPz3I5j3q6CYi8m52nxnmub1dpLSlhcygWDLNC/tm116SCj9FImMtrxzu5VW9cyR5IJXO8OL+brYc60dPRxGRyTneG+UpbWkhM+gXh3pn3cwMhZ8is+vMMM/u7dJmqOKY0ViSJ3e0c6hr1OlSREQKTsfwBD/c3kZEHV1lmu1rHyno/XwuR+GnCJ3ojfLE9nbG4oXfsUMKy8m+KI+9cYauETXhEBG5VgPRBE9sb2dkXAFIpsdANM4vj/Y6Xca0UPgpUj2jMb6/rY1+baImMyCTsWw51sfmPdq5XERkKoxMJPnh9jZthipTLpnO8Py+LpLp2TkvXeGniI1OJPnBtjaOzcIhTckfkdw0t+2nh7S+R0RkCkXjKZ7c0U6vtrSQKfSro330R2fvPpEKP0Uukcrw3N4uXj3SO6s6eUh+ON0/xmNvnqFjWPv3iIhMh/FEmid3ttOp/7MyBY71RNjbPrs3G1f4ESDbCOHJHVpAKVMjnbFsPdbPM7s7mEhompuIyHSKJzM8vauDtsHZsQmlOGM0luSlQz1OlzHtFH7knM7hGI+/eYYzA/rnKdeudzTG42+dYdvpQU1zExGZIYlUhmd2dWhTc7kmmYzlxf3dxJOzvxuwwo9cYDyR5qld7bxxckD7AclVSWcsr58YyDbSiGgBrojITEtlLM/t7eJ4r9byytV56/QgHUPFMXVS4UfewVp4/cQAz+zuUDtsmZTeSIzvvXWGN04OaO2YiIiD0hnL8/u6FYBk0jqHJ3jz5KDTZcwYhR+5rNP94zz6eisHOmf3wje5dpmM5Y2TA3z/rTb6NNojIpIX0hnLT/YqAMm7i6fSvLi/m0wRzfZR+JEriiXT/OxAD0/vamdUzRDkPF0jE3xv2xleP6HRHhGRfJOx2QCk7SzkSl453MvIRHEd3yn8yKSc7h/nX15vZU/bsNYCFbloPMWL+7v4wbY2ekc12iMikq8yNjsFTgFILuVQ1yiHuorvueFxugApHIlUhpcP93K0J8JHVtZTUepzuiSZQal0hh2tQ2xvHSKRmv3dYEREZoOzAejjwNL6kNPlSJ4YGU/y8uFep8twhKMjP8aY/2mM6TXG7HeyDrk67UMT/Osbrfz6RD/xlPZwKQbHeyM8+norvz4xoOAjIlJgMtbywr5ujmoESMiu131hf1fRvp47PfLzXeBbwKMO1yFXKZm2vHlykH3tI1y/oIp1LRW4XcbpsmSK9YzG2HKsXxvniYgUuLMByABLNAJU1N44OUDXSMzpMhzjaPix1v7KGDPfyRrkvRlPpPnlkT52nxnm5kXVLG8IYYxCUKHrGJ7grVMDnO5X6BERmS3OToH7hDEsritzuhxxQNvgOG+dLp621pfi9MiPzBIjE0le3N/N9tYh3re4hgU1QadLkmvQNjjOGycHaC+Sjc5ERIpNNgB1cffaRhbWKgAVk1gyzU8PdFPsfavyPvwYYx4EHgSYO3euw9XIu+mPxHlmVwcN4QDrWipYWl+Gx62mgvnuVP8Yb50aoHO4eIfBRUSKRXYfoC7uWdfEfL1ZWTReOthDJKbN6/M+/FhrvwN8B2DTpk1FnlULR/dIjO6RbrYcc7O6OcyaljDlAa/TZcl5Ysk0h7pG2d8xQn804XQ5IiIyg1IZy7N7OrlvfTNzq0udLkem2d72YY73Rp0uIy/kffiRwjaeSPPWqUG2nx5iYW2Q9XMqmFOlf7JO6hieYF/7CMd7IyTTej9BRKRYpTKWzXs6uG99s16bZ7H+aJxfHe1zuoy84Wj4McZ8D7gdqDHGtAN/Zq39RydrkumRsZbjvVGO90apLPWyuC7E4royGsIBp0srChOJNIe6s6M8AxrlERGRnGTasnlPJ/dvaKa5osTpcmSKpdIZXtjXpTc7z+N0t7fPOvn44oyh8STbTg+y7fQgoYCHxXVlLK4ro7miRJ3iptBoLMmJ3ign+sboGJogU+wrHEVE5JISqQzP7OrgUxubaQwrAM0mvzrWp6ntF9G0N3FUJJZi15lhdp0ZptTnZmFtGS2VJTRVlBAu0Rqhq9UfjZ8LPD2jal4gIiKTk0hleHpXB5/e2EJ9uWZlzAbHe6PsaRtxuoy8o/AjeWM8kWZ/xwj7O7J/qKGAh+aKEppzYag66NPI0EWGxxO0D03QOTxB+9AEIxNJp0sSEZECFU9meGpnB5/e2EydAlBBi8SS/PxQj9Nl5CWFH8lbkViKw90RDndHAAh43dSU+agJ+akJ+qku81Fd5sPvcTtc6cxIZywD0TgdwxN0DGcDz1g87XRZIiIyi8SSaZ7KjQDVhvxOlyPXwFrLi/u7mUjoGOFSFH6kYMSSadqHJt6xAWco4KE25Cdc4qW8xEt5wEt5iYfygJeAt/CCUTpjGR5PMDCWoD8aZ3AswUA0wfB4Uut2RERk2k0k0jy1s53PXNdCdZkCUKF54+SgNiu/AoUfKXiRWOqym3b5vS7KA15CAQ8Br5tSX/ajxOt5+3OfG6/bhd/jmtZpddZa4qkMiXSG8XiaaDxJJJYiGk8RjaWI5E6j8RTpjEKOiIg4ZzyR5kc72/nMdXOoCvqcLkcm6czAOG+eGnC6jLym8COzWjyZoS8Zpy8Sn9TtfR4XXrfB53bh87jxug1uV/bDGIPbGFwGXC6DyxistWRstpV3Jve5zX2eTFniqTTxVIZ4KkMynUEDNyIiUijG4ml+tKOdBza1UFGqAJTvovEUL+zv0rHGu1D4ETlPIpUhkYIx0oCaB4iISHGLxlM8uaOdB66bQ7hUXVjzVSZjeX5fF+Na5/OuXE4XICIiIiL5KxJL8cSONkbG9aZgvvr1iQE6tM5nUhR+REREROSKFIDy16n+Mba3DjpdRsFQ+BERERGRd6UAlH9GY0l+eqBb63yugsKPiIiIiEyKAlD+SGcsL+zr0n4+V0nhR0REREQmTQEoP2w93k/ncMzpMgqOwo+IiIiIXBUFIGcd64mws3XI6TIKksKPiIiIiFy1swFoeDzhdClFpTcS42cHe5wuo2Ap/IiIiIjINYnEsvsADY4pAM2E8USKzbs7SaQyTpdSsBR+RESu0tbNjxEZGjh3PjI0wNbNjzlYkYiIcyKxFE9sb6M3ovUn0ymdsTy7p5NILOV0KQXN43QBIiKFZOvmx3jqW9/gtWcf56GHHwXgka99kZ7W4wC8797PO1nelMlkLOPJNGPxFMl0BrfL4DYGl8tkP8+d93lceN16H02k2I0n0jy5o5371zfTVFHidDmz0i8O9ajBwRRQ+BERuQrrbruT1559nJ7W43zzwbsBiI4MUj9vMetuu9Ph6q5OKpOhdzRO10iM4fEEY4ls2BmLpxhPpJnsthGlPjcVJV4qSn1UlHov+FzBSKR4xJMZnt7VwT1rm5hbXep0ObPKjtYhDnSOOl3GrKDwIyJyFUKV1Tz08KN888G7iY5kd9QuC1fx0MOPEqqsdri6K5tIpOkamaBzJEbn8AS9o3HSuZ3xSrxuyvweSv1uakN+gj4PQb+boN+Dz+0ibS3pjCWTyZ6ePR9LZRgZTzI8keD0wBjjXW/vN2GA2pCflsoSmitLaA6X4Pe6HfruRWQmJFIZfry7g7vWNrKotszpcmaF0/1jbD3W73QZs4bCj4jILDY6keRwT4Sj3REGcguSXQbqywOsmxOmqaKExnCAUt/UvBwkUhmGJxIMjycZiCboGJ5gT9sIO88MvyMMzaks1ciQyCyUylie29PFnasbWNYQcrqcgjY4luD5/V1k7GTH4uXdKPyIiFyFyNAAj3zti0RHBikLVwHZaW+PfO2LeTP6E0+mOdYb5XB3hI7hCQCawgFuWVRNU7iE+nI/nmkKHT6Pi7pQgLpQAOqzl6XSGbpHY7QPTdA+9HYY8roNC2vKWFpfxtzqUjwuBSGR2SJjLS/s7yKZzrC6Oex0OQUplkyzeXcH8aQ6u00lhR8RkauwZ8uL9LQep37e4nc0PNiz5UXHGh5Yazk1MMbhrggn+8dIZyyVpV5uXljNsoYQ4RKvI3UBeNwuWipLaanMrgFIpTN0DE9wvDfK8d4oR3oi+DwuFtUGWVofYk5lKW6XcaxeEZka1sJLB3uIxFLcvMj5N4YKSTKdYfOeToa0ieyUU/gREbkKZ8PNutvuPDfK89DDjzoWfDIZy9HeCNtODTE4nqDE62ZNU5hljSHqQ36Myb8Q4XG7mFcdZF51kNuX1dE2OM7R3ggnesc41BUh4HWxvKGctc1hKoM+p8sVkffojZMDjMaSfHhFvd7YmIR0xvLc3k46hiacLmVWUvgREblKF4ecUGX1jAefdMZyuHuUbaeHGJlIUh308fHVDSyqLSuogwu3yzC/Jsj8miCpZRlaB8c50h1hb/swu9uGmVNVwtrmChbWBHEV0PclIhc62DlKNJbi7nWN+D1qfHI5mUx2uuDp/nGnS5m1FH5ERApIKpPhYOco21uHiMRS1Ib8fGJNI4tqg3k5ynM1PG4Xi2rLWFRbxlg8xYHOUfZ1jPCTfV2U+T2saQ6zqqmcoF8vXSKF6MzgOD/c1sZ9G5opDzg3FTdfWWt56VAPx3qiTpcyq+kVRESkAFhrOdId4bUTA0TjKRrKA9yxrI751aUFH3ouJej3cMOCKjbNq+TUwBh720d4/eQAb54aYGl9iOvmVVJT5ne6TBG5Sv3RBD94q437NjRlG6PIOa8e6eOg9vKZdgo/IiJ5biAa55UjfXQMT1Bf7ucjK+uZU1kyK0PPxVwuc240aGg8wd72EQ50jnC4O8KCmiCb5lVqN3mRAhONp3hiezufWNPI/Jqg0+XkhdeO97O7bdjpMoqCwo+ISJ5KpDK8eWqA3W3D+NwuPrS8jlVN5UURei6lstTHB5bWcuOCKva0DbO7fZgndozRXFHCpnmVzJulo2Ais1F2M9RObl1czab5VU6X46htpwd569Sg02UUDW2qICKSZ6y1HOuJ8C9vtLLzzDArGsv54s3zWd0c1sE9EPC6uXFhNV++dQHvX1LDyESSH+/p5HtvtXG0J4LVZoAyA7ZufozI0MC585GhAbZufszBigpPxlq2HOtn855OYsm00+U4YteZIbYe63e6jKKikR8RkTwyMpHk5cO9nBkcp7bMz11rGmgMa1rXpXjdLjbMrWRtSwVHuiNsbx3khf3dvBX0ceOCKhbXlSksyrTYuvkxnvrWN3jt2cffsd8XvLMjpFzZid4o34vG+cTaxqJZB2St5bXjA2w7rRGfmabwIyKSB6y1HOqO8OqRXgyGDyytZW1zWO2dJ8HtMqxsKmd5Y4hjPVHePDXA8/u7qSnzceOC6lnRCU/yy7rb7uS1Zx+np/U433zwbgCiI4PUz1vMutvudLi6wjQ8nuQHb7Vxx/I6VjeHnS5nWqXSGX56oIejPRGnSylKCj8iIg6LJdO8criXo71RmitK+OiqerWBvQYuY1jWEGJJfRlHeyK8eWqQn+zrojbk56YFVSyoUQiSqRGqrOahhx/lmw/eTXQk+859WbiKhx5+9Nzmx3L1UhnLSwd76Bye4IPL6/C4Z9/qjPFEimf3dNI5HHO6lKKl8CMi4qD2oXF+eqCH8USKWxZVc928Slw6QH9PXMawvKGcpXUhjuRC0LN7u6gL+bl5UTXzqtQYQSSfHegcpTcS5+OrG6ieRS3tB8cSPLOrg5GJpNOlFLXZF6lFRApAOmP59Yl+frSzA4/L8MCmOVw/v0rBZwq5XCbbLOKmeXx4RR2xZJof7+7kyZ3tdAxNOF2eFLDI0ACPfO2LREcGKQtXURauIjoyyCNf++IFTRDk2vVF4jz25hlePzFAOlP4TUzaBsf5wbY2BZ88oJEfEZEZNjye4MUD3fSMxlnVVM77l9Ti8+i9qOnichlWNYVZ3lDO/s4Rtp0a5Mmd7cyrKuXmRdXUlxfHAmuZOnu2vEhP63Hq5y1+R8ODPVteVMODKZLOWN44OcDx3ggfWlFfsHt6Hewc5eeHemZFiJsNFH5ERGbQqf4xXtzfjTFw15oGltSFnC6paLhdhnUtFaxsLGdv+wjbTw/y/W1tLKoNcvPC6lk1vUam19lws+62O8+t8Xno4UcVfKZJfzTBD7e3sa6lglsWV+P3uJ0uaVKi8RSvHunlWE/U6VLkPKaQ9kPYtGmT3b59u9NlALDlWB/bTw85XYaIFAhrLdtah3j9xAC1IT93r2mkvERNDZwUT6XZdWaYXWeGSaQzLG8IceOCKipKfU6XJiKXEQp4+ODyOhbWljldymVZa9nfMcqW433Ekxmny5kRKxpD3Lm60ekyzjHG7LDWbrrUdRr5ERGZZolUhpcO9nC8L8qy+hAfWlGHdxZ2MSo0fo+bmxZWs66lgh2tQ+xpH+ZIT4RVjeXcsKCKkDruieSdSCzFj3d3sqAmyA0LqvJuKtzgWIKfH+rRusI8pvAjIjKNhscTPLe3i8GxBLctrmHD3Ap1GsszJT4371uS/d1sOz3Ivo4RDnVFWNMcZtP8SoJ+vVSK5JtT/WOc6h9jTlUpN8yvYm51qaP1pDOWt04Nsv30ICmt7clr+o8uIjJNWgfGeGF/Nwa4b30T86qDTpckVxD0e7h9WR0b51by1ulB9nQMs79zhHVzKrhubiUlvsJYZyBSTNoGx2kbHKcxHOD6BVUsmuHpcMl0hmM9Uba3DjIQTczoY8u1UfgREZli1lp2nRlm6/F+qsp83LO2ibDW9xSM8hIvH15Rz6Z5lbx5apAdrUPsbR9mbUsFG+dWUOrzsHXzYxcsdo8MDWixu4iDukZibN7dSW3Iz4a5FSysKZvWNyz6InH2d4xwqHu0aNb1zBYKPyIiUyiTsbx6tI99HSMsrivjoyvrtb6nQFWU+vjYqgY2zcuOBJ0NQcHjv2DPD/+O1559/B1tjgEFIBEH9UXi/OxAD8b00BgOsKCmjPk1pdSF3ntL+0Qqw5HuCPs7R+geiU1BteIEhR8RkSmSTGd4YX83p/rHuG5eJbcuqtb6nlmguszPx1c3cuOCBG+dHuTQ6Ea8NXPpaT3Oww/ejQGiI4PUz1vMutvudLpcEQGshc7hGJ3DMV47nu0St6AmyLzqUkIBLwGvm1Kf+7JvTkViSYbHkwyNJxgaTzI0lqBjeIJESqM8hU7hR0RkCozFUzy7t5Pe0Ti3L6tlXUuF0yXJFKsK+rhzVQM3Lqhia91/5Zd//TuMjQwCUBqu4qGHHz03DU5E8ksklmJv+wh720cuuNzrNpT4PJT63AS8LsYTaYbHkwo5s5jCj4jIezQ0luCZ3R2MJ9LcvbYxr/efkPeustTH7cvqeNPrZjx3WSyZ5uXDPdy8Kkhd+XufXiMiMyOZtiQnkoxOJJ0uRWaIwo+IyHvQMTzBc3s6Mcbw6Y0tNIR14DvbRYYGeORrX2R8ZJCycBUWGBsZ5PX/9kec+K2/Yl5LI5vmVTK3qlTTHkVE8ozCj4jINTrWE+GnB3sIBTzcv75ZHd2KxJ4tL9LTepz6eYvf0fCgYXA3Q1XVPLO7k5oyHxvmVLK0vgyPml6IiOQFhR8RkWuwt32YV4700RgOcM+6Jkq82gOmWJzt5nZ+q+uHHn70XKvrdMZypDvCjjNDvHSoh18d62NlUzlrmsNUlvqcLF1EpOgp/IiIXAVrLdtah3j9xAALaoLctbpB7+oXoYvbWYcqq89d5nYZVjaVs6IxRPvQBPs6RtjTNsyuM8PMqSxhTUuYhTVluF2aEiciMtMUfkREJslay9bj/ew8M8zyhhAfXlGvA1i5LGMMc6pKmVNVylg8xYHOUfZ1jPD8vm6CPjermsIsawhRFdRokIjITFH4ERGZhIy1vHy4lwOdo6xrCfOBpbVazC6TFvR7uGFBFZvmV3K6f4y9HSO8dXqQt04PUhfys6w+xNL6EGUBvSyLiEwn/ZcVEXkXqUyGn+7v4XhflBsWVHHTgioFH7kmLmNYWFvGwtoyxuIpjvZEONITYcvxfrYc76elsoRl9SEW15UR0DoyEZEpp/AjInIFiVSGn+zr4szgOO9fUsOGuZVOlySzRNDvYcPcSjbMrWRoPMHR7giHeyL84nAvrxzppamihPnVQeZXl1IV9Clwi4hMAYUfEZHLiCXT/Hh3Jz2jMT6yop6VTeVOlySzVGWpjxsXVnPDgip6I3GO90Y5PTDG1uP9bD0OoYAnG4RqSplTWYpXTTZERK6Jwo+IyCWMJ1I8s6uTwbEEd61pZHFdmdMlSREwxlBfHqC+PMCti2uIxJK0DoxzemCMw93ZhgluY6gr99MYDtAYLqExHCDon9mX862bH7ug1XdkaOBcq28RkXym8CMicpGxeIqndnUwMpHknnWNzKsOOl2SFKlQwMvq5jCrm8OkMhk6h2O0DozRNRJjT9sIO88MAxAu8dIYDtAQDlBb5qc66MM/TWuGtm5+jKe+9Q1ee/bxd2zyCu9sAy4ikk8UfkREzhOJJXlqZwdjiRT3r2+ipbLU6ZJEAPC4XMytKmVuVfY5mcpk6IvE6RqO0TkywZnBcQ53R87dPuh3Ux30UxX0UR30URX0ES7xUupzv6f1Q+tuu5PXnn2cntbjfPPBuwGIjgxSP28x62678719kyIi00zhR0QkZ2QiyVM724klM9y/vpmmihKnSxK5LI/LlZv2VsJGKrHWEoml6B+LMxhNMDiWYGAswf6OEVIZe+7r3MYQ9LsJBbyUBTyE/B7K/B6Cfg8Brwu/x03A6yLgdeNxmXcEpVBlNQ89/CjffPBuoiODAJSFq3jo4UfPTYMTEclXCj8iIsDQeIKndnaQTGf41MZm6ssDTpckclWMMZSXeCkv8bKw5u3LrbWMxlIMjiUYnUgSiaeIxJJEYym6hic4Fk9xXja6gNtlCHhc+DwuvO7sh8dtsGMjJNKZc7dLpjPsaB0kOGJwuwxukz31uHLn3QaPy3Xu/NlTn8eFz+3CfYmQJSIyHRR+RKTo9UfjPL2rA2vh0xtbqA35nS5JZMoYYwiXeAmXeC95vbWW8USa8USaWDL3kcoQS6aJn3eaSmdIpi2RoX4O/b9fJREdxl0aBiAeHeaFv3mI+s/+Fe5gxVXX6DKcC0K+XNgq8bop9XkI+t0EfR5Kc6dBn4dSnxuXS2FJRK6ewo+IFLXeSIynd3XgNoZPX9dCVdDndEkiM8oYQzA37W0ytm7+Jbv6Wqmft/gdDQ82ZQ5z4/s/RypjSVtLOpP9SGUs6bQllcmcO5/KWJKpDIl0hkQq95H7PJ7KMDyepGN4glgy844aXAYqSn1UlnqpLPVRGfRRlTs/XY0eRGR2UPgRkaLVPRrjmV0d+DwuPrWhmYpSBR+Rd3O2m9v5ra4fevjRC1pdT+XYaSqTyY5MxdOMJVKMxVOMxlIMj2fXNZ3qH7tg2l7Q76axvITGigBN4RJqQ37cGiUSkRyFHxEpSp3DE/x4dycBr4tPb2yh/DJTgkTknS5uZx2qrJ62Ftcel4vygIvywKX/RtMZy2gsydBYgqHxZLYD3sgEx/uiQHbdUkN5gMZwgKaKEloqS7RJrEgRU/gRkaLTMTTBj/d0EPR5+NTGZkKXOagSkfzndpns1LeLRm6j8WxDh66RbCvwnWeG2N46hMdlmFddyqLaMhbUBAlompxIUVH4EZGicmZwnGf3dBIKePj0xpZJr3MQkcJS5vewpD7EkvoQkO1I1zk8wcm+MU70RznRN4bLQHNlCYtqy1hUU0ZZQP8PRGY7/ZWLSNFoHRjj2b1dVJR4+eSGZgUfkSLidbuYVx1kXnWQ220tPaNxjvdFOdEX5dUjfbx6pI95VaWsaQmzoDqobnIis5Re+UWkKJzsj/L83m6qgj4+uaGZEp+muogUK2MMDeEADeEA71tcw+BYgqM9EQ50jvLc3i7K/B7WNIdZ1VSuN0lEZhn9RYvIrHe8N8oL+7uoDfm5f32z5viLyAWqgj5uWljNDfOrONk/xr6OEV4/OcCbpwZYXFvGmpYwzRUl2ohVZBZQ+BGRWe1Id4SfHuymoTzAfeub8HsUfETk0lwuw+K6MhbXlTE0nmBf+wgHu0Y52hulvtzPzQurmVtVqhAkUsAUfkRk1jrYOcpLh3porijh3nVN+Dxqbysik1NZ6uP9S2u5eVE1R7ojvHV6kGd2d9IYDnDLompaKkudLlFEroHCj4jMSnvbh3nlSB9zq0q5e22j9vUQkWvidbtY3RxmRWM5BzpHeOv0ID/a2cGcyhJuXlRNY7jE6RJF5Coo/IjIrLPrzBC/OtbPgpogd61uwKPgIyLvkdtlWNtSwcrGcvZ1jLDt9BA/3N7O/OpSbllUQ23I73SJIjIJCj8iMqu8dXqQ109kFynfuboBt9rVisgU8rhdbJhbyaqmMHvah9nROsT33jrD+jkV3LSwWtNrRfKcwo+IzArWWt44OchbpwdZ1hDioyvqtU+HiEwbn8fF9fOrWNMc5tcnBtjVNsyx3igfWFrLotqgmiKI5Cm9PSEiBc9ay9bj/bx1epBVTeV8dKWCj4jMjIDXzQeX1/Ebm1oIeF38ZF8Xm/d0MjKRdLo0EbkEhR8RKWgZa/nF4V52nhlmbUuYDy2vw6V3XEVkhjWGS/js9XO5bUkNHcMT/OsbrWw7PUg6Y50uTUTOo2lvIlKw0hnLTw90c6w3yvXzK7l5YbWmmoiIY1wuw8a5lSypK+OXR/v49YkBjnRHuHN1AzVlaoggkg808iMiBSmZzvDs3k6O9UZ53+IabllUo+AjInkhFPBy99om7lnbyEQyzfe3tbGnbRhrNQok4jSN/IhIwYmn0mze3UnnSIwPLa9jdXPY6ZJERN5hYW0ZDeEALx3s4dWjfZweGOMjK+sp9enwS8QpGvkRkYIynkjxo50ddI/GuGt1g4KPiOS1Up+He9c18YGltbQNTfDYm2doHRhzuiyRoqXwIyIFYzSW5Ikd7QyNJbhnXRNL6kNOlyQi8q6MMayfU8FvXT+HEq+bZ3Z38qujfaQyGadLEyk6Cj8iUhAGonGe2N7OeDzN/RuamV8ddLokEZGrUlPm57eun8O6ljC72ob54bZ2tcQWmWEKPyKS9zqGJnhiRzsZa/n0dc00V5Q4XZKIyDXxuF3cvqyOe9Y2MhpL8v23znBmcNzpskSKhsKPiOS1Yz0Rnt7dQanPzW9umkNdKOB0SSIi79nC2jJ+6/o5lPo9PLO7g11nhtQNTmQGKPyISN7a3TbM8/u7qQv5eWDTHMpLvE6XJCIyZSpKffzmpjksrAnyq2P9vHSoh1Ra64BEppOj4ccYc6cx5ogx5rgx5utO1iIi+cNay9Zj/fzyaB+LaoN8akMzJV6302WJiEw5n8fFJ9Y0cuOCKg51RXhyZzvRWMrpskRmLcfCjzHGDXwb+DiwEvisMWalU/WISH5IZTK8eKCbHWeGWNsc5q41jXjcGqQWkdnLGMNNC6u5e20jg2MJvrftDJ3DE06XJTIrOXlEcQNw3Fp70lqbAL4P3OdgPSLisFgyzY93d3K0J8oti6q5fVktLmOcLktEZEYsqi3jNzfNwet28aOd7RzuHnW6JJFZx8nw0wy0nXe+PXeZiBShobEEP9jWRufwBB9dWc/186swCj4iUmSqc+2wm8Il/PRADzta1QhBZCrl/VwSY8yDxpjtxpjtfX19TpcjItOgdWCM729vI57K8KmNLaxoLHe6JBERxwS8bu7b0MSSujK2Hs+uf8woAIlMCSfDTwcw57zzLbnLLmCt/Y61dpO1dlNtbe2MFSci089ay64zQ/x4dyflAQ+/df0c7eEjIgJ4XC4+vrqBDXMr2NM+wvP7utQJTmQKOBl+tgFLjDELjDE+4LeAzQ7WIyIzKJ2x/OJwL7861s/C2iAPXKdW1iIi5zPG8P4ltbx/SQ0n+sZ4elcHsWTa6bJECppj4cdamwJ+H/gpcAj4obX2gFP1iMjMGU+keGpnOwc6R7lhfhWfWNOIz5P3s3BFRByxYW4lH1/dQM9onCe2tzM6kXS6JJGC5XHywa21zwPPO1mDiMysntEYP9nXxXgizZ2rGljWEHK6JBGRvLe0PkSpz82ze7v44fY27lvfTG3I73RZIgVHb7WKyIyw1rKnbZgntrdjLXzmuhYFHxGRq9BSWcoD17VgjOFHO9vpHok5XZJIwVH4EZFpF0+leWF/N68e7WNOVQmfu3EuDeUBp8sSESk4NWV+PnNdCwGvm6d2tdMxpM1QRa6Gwo+ITKveSIzvvdXG8b4oty6q5t51TZR43U6XJSJSsMIlXj6zsYUyv4dndnfQOjDmdEkiBUPhR0SmhbWWve3D/HBbO+mM5dMbW9ikjUtFRKZEWcDDZ65robLUx+Y9nRzvjTpdkkhBuGz4Mcb8S+70j2auHBGZDeKpNC/u7+aVI320VJXw2Ru0f4+IyFQr9Xn41MZm6kIBnt/fxeHuUadLEsl7V+r2dp0xpgn4sjHmUeCCt2uttYPTWpmIFKTWgTF+fqiXsUSKWxZVs2lepUZ7RESmScDr5pMbmnl2Tyc/PdBDMm1Z0xx2uiyRvHWl8PMPwC+AhcAOLgw/Nnd5UeocnuCZXR1kLNSX+/F7tH5BJJ5Ks/VYP/s7R6ks9fLAdS00hjXaIyIy3XweF/etb+In+7p4+XAvqXSGDXMrnS5LJC9dNvxYa/8r8F+NMX9vrf03M1hT3tvXMcKPdnacO19V6qMhHKChPEBDOEB10IfLpXe6pXicGRzn54d6iMRSXDe3kpsWVuFxa0mhiMhM8bhd3L22iRf2d/GrY/1YYKMCkMg7vOsmpwo+7/SxVQ38wxc28uL+bnpG43SNTHCqf4yDXdm5th6Xob48QGM4+9EQDlDqc3Q/WZFpkUhl2Hq8n30dI1SUevmNTRrtERFxittl+PjqRl480M2WY/2AApDIxXREfo2Cfg/zqoPMqw4C2c5WIxNJukdjdI/E6B6NsfPMEBmbvX24xEtDOEBjbnSopsyPW6NDUsBaB8b4xeFeIrEUG+dWcPPCao32iIg4zO0y3LmqgZ+SC0AWNs5TABI5S+FnihhjqCj1UVHqY3lDOQCpdIbeSJyukWwgah8a50h3BHh7dKgh/PYIkUaHpBAMjyf41bF+TvWPUVGSXdvTpE5uIiJ5w+0yfGxVA9DNluO5ESAFIBFA4WdaedwumipKzh0YWmuJxFN0j8ToGonRNTLBrjND7NDokBSARCrDW6cH2XVmCLfLcOuiatbPrcDj0miPiEi+OTsCdDYAWeA6BSARhZ+ZZIyhPOClPOBlaX0IuHB0qGtkgvbBC0eH6sr9NIZLaMitIQr69SuTmWWt5VB3hNeO9zOeSLOiMcSti2r0XBQRyXOuXAAydLM1NwKkACTFTkcvDrtwdKjyHaND3SMxdp23digU8GS7ypUHqA8HqA/5tc5Cpk3n8AS/OtZHz2ic+nI/96xtoiEccLosERGZJNfZKXBGAUgEFH7yzuVGh/qi2dGhnlwzhWO9UQBcBmrK/NSXB6gv99NQHqAy6MOlTSXlPegYmuDN0wO0DU5Q6nPz0ZX1LG8IabNSEZEC5HIZPrYyOwVu6/F+jFEXOCleCj8FwON20RguuaCF8Fg8Rc9o7Fx3uSPdEfZ1jADgdRvqQtkwlA1FAcoDHh24yhVZa2kfmuCtU4O0D09Q4nXzvsU1rGkO4/NodFFEpJCdDUDWZrvAuYxh/ZwKp8sSmXEKPwUq6PewsLaMhbVlQPbAdWg8Sc9oLPcRZ0/7COnMMAABj4vacn82FIX81CkQSY61ljOD47x5apCukRhBn5v3L6lhdXMYr6ZUiojMGmenwGVsF7882ofLwNqWCqfLEplRCj+zhDGGqqCPqqCPFY3ZVtvpjGUgGqd7NEZfJE5vJH7B+iG/x0VtyE9dyE9tmZ+akJ/KUp86zBWJZDrD0Z4Ie9tH6I3EKfN7uH1ZLasay7WOTERkljq7EepP9nXxypE+XMawujnsdFkiM0bhZxZzuwx15QHqyt9eoJ7KZBiIJuiNxOkdjdEbOTtCZM99TXXQR23IT02Zn5oyHzVlfgJet1Pfhkyxvkic/R0jHO6OkEhnqCr18cHldaxsLFfwFREpAm6X4a41DTy3t4tfHO7FZQwrm8qdLktkRij8FBmPy3VuHRC5d3oyGcvQeIK+aJy+SJy+aJyTfWMc6Bw993VBv5uaoJ/qMh/VZX5qcqNMGiEoDMl0hmM9UfZ1jNA9GsPtMiyuK2NNU5imioCmP4qIFBmPy8XdaxrZvLeTlw714DKwvFEBSGY/hR/B5TJUl/mpLvOzvCF7mbWWsXia/rE4A9EE/dHsaft5o0SQ3Zi1KuijqtR3btpdZdCL36ORIqclUhlaB8Y40TfGqf4xEukMlaVebltSw4rGcko0miciUtQ8bhf3rG1i855OfnawB2MMyxpCTpclMq0UfuSSjDGUBTyUBTzMrw6euzyTsQxPJBmIxhkYSzCY+zgzME7avh2Kgn43laU+Kkq9VJb6zn1eHvBqatU0mkimOdU3xom+KK2D46QzloDXxeK6MlY0hmiuKNEoj4iInON1u7h3XRPP7O7gpwe7cRlYUq8AJLOXwo9cFZfr7cYKS867PJOxjMSS58LQ0FiCofEkx3qixFOZt7/eQHmJl3CJl4oSL+W503DuQ9Pork4qnaFnNE7H8ARtQ+N0DE9gLZT5PaxpCrOoLkhTuASXAqeIiFyG1+3ivnXNPLO7gxcPdONyGRblusmKzDYKPzIlXC5zboRnUe2F100k0wyPZ8PQ0FiC4YkkIxNJuoZjJNKZC24b9LkpL/ESCnjObfYaKsl+Hgp4ir71cjyVpms4RsfwBJ3DE/SMxs+NuFWX+dg0r5JFtWXUhfwa4RERkUnzeVzct76JZ3Z18vy+Lj6xtpGFNQpAMvso/Mi0K/G6Kblok1bIriuKJTOM5MLQyESS4YkEkViKntE4x3ujnLe8CICA10WZ3/P2R+Dtz4N+D0Gfh4DXVfAH/ulcE4qBaHYkbSC39mpkIoklO4JWFwqwbk6Y5ooSmipK1JFPRETeE7/Hzf3rm3hqVwfP7+3m7nWNF0x9F5kNFH7EMcYYSnxuSnxuGsKBd1yfsZaxeIrRWIpILMnoRIpo/O2PntE4E8n0O77OZaDE5ybo81Dqc1Pq82Qfx+sm4HUR8LqzH563P5/pdUiJVObt7yV24fc1Mp5kaCLB2SVUxkBFiZeaMj/LG0I0VZTQEA4U/SiYiIhMPb/XzSc3NPPUrg6e29vFPWsbmacAJLOIwo/kLZcxhAJeQgEvUHLJ26QyGcbiaaKxFGOJFOOJNGPx7Ol47nxfNM5EIv2OUaTzuV0Gn9uF123weVzZz3OnbpfBZQwuF7iNOe+8AZsNaZbsSFbGvn2aSmeIpzIk0hkSqdxH7rL0JYo5O6pVUeplUV2Q6qD/XPc8j0tBR0REZkbgbADa2c6ze7u4b10Tc6pKnS5LZEoo/EhB87hchEtchEu8V7ydtZZk2hJLpplIpokl08SSmexpKk0yZbMhJZ0hmQspE4k0o+kkGZudhpbOWDLWMrjtWUqX3Yoprcje9/gwY0deo3LT3RgMxmSD2/lBqtTnpqLUi8/twudxUeJzXzh9z+9RswcREckbJecCUAeb93Ry//pmmisv/UakSCFR+JGiYIzB58mGkfJ3CUpXsnXzYzz1s7+n/shL/JuH/xmD4ZGv/VsGWo/zgaW1vO/ez09h1SIiIs4p9XnOBaAf7+ngvnUKQFL49FazyFVYd9ud1M9bTE/rcf72wXv45oN309N6nPp5i1l3251OlyciIjKlgn4Pn9rYTJnfw4/3dNAxNOF0SSLvicKPyFUIVVbz0MOPUhauIjoySHRkkLJwFQ89/CihymqnyxMREZlyQb+HT29sIeT38szuDtqHxp0uSeSaKfyIiIiIyBWdHQEqL/Hy492dCkBSsBR+RK5CZGiAR772xXMjPmdHgB752heJDA04XZ6IiMi0Cfo9fGrD2wGobVABSAqPwo/IVdiz5cVza3y++p3n+Op3nju3BmjPlhedLk9ERGRaZafANRMu8bJ5TydnFICkwKjbm8hVONvNbd1td55b4/PQw4+yZ8uL6vQmIiJFodSXnQJ3tg32veuamKt9gKRAaORH5Cq9797PX9DcIFRZreAjIiJF5WwAqijNjgCdHhhzuiRxSCyZ5ru/Ps3p/sJ4Dij8yFXZuvmxC9a2RIYG2Lr5MQcrEhERESeU+jx8ekMLVUEfz+7p5FhPxOmSZIadHhjjX99o5a1Tg+w8M+R0OZOiaW8yaVs3P8ZT3/oGrz37OA89/CgAj3zti/S0HgfQ6IeIiEiRKfG5+fSGZn68p5MX9neTzFhWNpY7XZZMs2Q6w5Zj/ezrGKE66OOPPryET21scbqsSVH4kUlbd9udvPbs4/S0HuebD94NQHRkUBt8ioiIFDG/180nNzTz7N5OXjrYQzKVYd2cCqfLkmnSNTLBTw/0MDKRZOPcCm5eWF1Qa74UfmTSzm7w+c0H7yY6MgigDT5FZgm3yxD0eyjzuwn6PQT9HkK5U6/bRcZa0pnzPqwlk7EkUhmGJ5IMjScYHk+SSGWc/lZExAFet4t71zbxwv5uXj3aRyKd4fr5VU6XJVMonbG8eWqA7aeHKAtku/61VBZO6DlL4UdEpMgYA1VBH03hEpoqSmiuKKG8xIMx5j3f91g8lQ1DYwkGxxJ0DE/QOxonY+0UVC4i+czjdnHXmkZeOtTDr08MEE9luHVR9ZT8bxFn9Ufj/OxAD33ROKuayrltSQ1+j9vpsq6Jwo9M2sUbfALnNvjU6I9Ifqsr9zO3qvRc2Al4p+dF6+yoUXNFybnL4qk0ncMx2ofGaRucoC+iMCQyW7ldho+trMfndrGjdYhkKsPty2oVgApUxlp2nRnm9RMD+Dwu7lnbyMLaMqfLek8UfmTSzt/g8+KGB9rnpnhs3fzYBfscRYYG9PvPU6GAhxWN5SxvCFFd5nesDr/HzYKaIAtqgkC2LWrH8ATHeqKc6ItqqpzILGOM4Y5ltfg82QAUS6b5yMp6PG41GS4kw+MJXjrYQ+dIjEW1QT64vI5SX+FHh8L/DmTGaINPUce//OfzuFhSV8aKxnJaKkvy8t3WgNfNotoyFtWWkUpnOD0wxpHuKKf6oyTTGhESmQ2MMdy6qJoSr5utx/uJxlPcs65p2kadZepYa9nfMcqW430Ykx3JW9YQysvXk2thbAFNPdi0aZPdvn2702UAsOVYH9tPF0Y/c5GpcnbqY0/r8QumPp4dDdTUR+fUlPnYNL+KxXVleAv03dVEKsPJ/ihHuiOc7h/X1DiRWeJoT4SfHeihvMTDfeubCZd4nS5JLiMaT/HzQz20Dowzp6qEj6yoJxR499/XisYQd65unIEKJ8cYs8Nau+lS12nkR0QmTR3/8k9tyM+NC7Khp9DflfN5XCxvKGd5QzmRWJJ9HSPs7xhhLJ52ujQReQ+W1ocI+jw8u7eTH2xr4971TTSUB5wuS85jreVIT4RXj/SRzlhuX1rL2pZwwb+uXIrCj4hIAWoIB7hhQRWLCnzh6eWEAl5uWVTDjQuqOd4bZU/7MB1DE06XJSLXqLmyhN/YNIcf7+7gRzva+fjqhoJfOD9bjMVTvHKklxN9YzSUB/joqnoqS31OlzVtFH5EZNLU8c95jeEANy2sZn6uecBs53YZljWEWNYQoi8SZ2/7MIe6RrU2SKQAVQV9/MamOTy7t5Pn9nbxgaW12gzVQeeP9qQylvctrmHD3Apcs3C053wKPyIyaer455yg381tS2pZ0VjudCmOqQ35+dCKem5ZVMOuM0PsaR8hltSUOJFCEvR7+PTGlnOboQ6PJ3nfkhrcrtl9wJ1vxuIpXj7cy8n+7GjPR1bWUxWcvaM951P4EZFJU8e/mecyhrVzwty8sFpdknJKfG5uWVzDdfMr2d8xws7WYaLxlNNlicgked0u7l7byJZj/exuG6Y3GuOu1Y0E/TosnW7WWo50R3j1aHa057bFNawvgtGe86nb2zVStzcRmW6N4QAfXF5HnRYGX1E6YznUNcr204MMjSedLkdErsLh7lF+cagXv8fFx9c0XrBBskyt0Ykkrxzp5fTAOI3hAB9ZUU/lFI32qNubiIhcsxKfm/ctrmFVU/ms7LQz1dwuw+rmMKuayjnaE+WNkwMMjiWcLktEJmF5Qzk1ZX6e29vFUzvbuW1JLetmaZcxp2Qylt1tw7x+cgCA25bUsH5OcY32nE/hR0QkjyypL+NDy+sp8WmK29UyJtscYWl9GYe7I7x5ckAjQSIFoKbMz2dvmMPPDvTwy6N9dI/E+NCKuoLdsyyfdI/EePlwL33ROAtqgty+tJbyIt9nSeFHRCQP+DwuPrC0ltXNYadLKXjGGFY0lrOsPpQNQacGGFYIEslrfo+bu9c2sr11iNdPDNAfjfOJtY2zuuXydIqn0rx+YoA97SME/W4+saaRRbVBjaih8CMi4riGcICPr26gQi/yU8rlMqxsKmd5Q4hD3aO8eXKQkQmFIJF8ZYzh+vlV1IX8vHigm++9dYZbF9XM2s02p4O1luO9UX55rI+xeJp1LWFuXlSN36PZBGcp/IiIOMQYuGF+FTctrMalNq/TxuUyrGoKs6KhnAOdo7x5aoBITN3hRPLVvOogn7thLr841MurR/s43hflIyvqi3661rvpGY2x5Vg/HcMT1JT5uHtNEw1hNcy5mMKPiIgDyku8fGxVPS2VpU6XUjRcLsOaljArGkPs7Rhh26lBxhPaJ0gkH4UCXu5b38SBzlG2HOvnX99s5X2La1jTrFGgi0XjKX59op9DXRFKvG7uWFbL6qaw3lS7DIUfEZEZtrA2yMdWNWjfHod43C42zq1kdVOY3W3DbG8dJJ7MOF2WiFzEmGwnx7nVpfz8UA+vHMmOAn14uUaBAJLpDDvPDLGjdYhMBq6bW8n1Cyo1xe1dKPyIiMwQY+DGBdXctLBK71zmAZ/HxQ0LqljbEmZn6xC72oZJpBSCRPJNecDLJ9c3s79jlC3H+3jszTPZ7QCay4uyXXPGWo52R3jtxADReIrFtWXcurha60YnSeFHRGQG+DwuPraqgcV1ZU6XIhcJeN3csriGDXMr2XZ6kL3twyTThbMBuIhTtm5+jHW33UmoshqAyNAAe7a8yPvu/fyUP5Yx2WmrZ0eBXj7Sy572YW5dXMP86tKieEMpk7Ec6Ynw1ulBhseT1Ib8mj59DRR+RESmWWWpl3vWNVFd5ne6FLmCEp+b9y+tZeO8SradGmRfxwjpjEKQyKVs3fwYT33rG7z27OM89PCjADzytS/S03ocYFoCEEC4xMunNjRzvDfKaycG2Lynk5bKEt63uIb68tm5uD+dsRzqHmX76SFGJpLUlPm4a3X2zbRiCH1TTeFHRGQaaX1P4Snze7hjeR3Xza/kzZODHOwcJWMVgkTOt+62O3nt2cfpaT3ONx+8G4DoyCD18xaz7rY7p/WxjTEsqQ+xsLaM/R0jvHlqkO9va2NpfRm3LKohPEvWA6UyGQ52jrK9dYhILEVdyM/daxtZWKP9et4LhR8RkWlgDNywoIqbF1brRapAlQe8fGRlPdfPr+StU4Mc6oooBInkhCqreejhR/nmg3cTHRkEoCxcxUMPP3puGtx0c7sM6+ZUsLwxxI7WIXadGeZ4b5S1LRWsn1NRsCFodCLJga5RDnSOMBZP01Ae4IPL6phXJNP7ppvCj4jIFPO4DB9d1cCyhpDTpcgUqCj18dFVDdy4oJq3Tg9yqGtU0+FE8ojf4+aWRTWsba7gjVMD7GkbZnfbMPOqS1nbHGZ+TTDvGyOkM5aT/VEOdI7SOjAOwLzqUj66spI5lSUKPVNI4UdEZAoFvG7uXtvInCotQJ1twqXZkaAbFlSx/fQgBzoVgqR4RYYGeORrXyQ6MkhZuArITnt75GtfnNHRn/OVBTx8eEU9Ny6oYn/nKAc6Rnh2bxehgIfVTWFWNZUT9OfXoe/QeIIDnaMc7BxlIpmmzO/hhgVVrGosVzvvaZJfzwARkQJWXuLl/vVqbDDbhUu8fGhFPdefDUEdo6QUgqTI7NnyIj2tx6mft/gdDQ+mq+PbZIUCXm5eWM0N86s42R9lX/sIr58c4M1TAyyqLWNhbZC5VaWU+mb+MDiVydA5HKN1YIzWgXEGxhIYAwtrgqxqCjOvujTvR6kKncKPiMgUqCv3c//65rx7V1GmT3nAyweX13PTwmp2nxlmT/sIsWTa6bJEZsTZcHN+q+uHHn7U8eBzPrfLsKQuxJK6EEPjCfa1j3Coe5RjvVEAasp8zK0qZW5VKU0VJXjdrimvwVrLyESS1oFxWgfHaRscJ5WxuI2hqSLAysYaljWE9Noxg4wtoMWbmzZtstu3b3e6DAC2HOtj++khp8sQkTywoCbIXWsa8Xmm/oVTCkcilWF/5wi7zgwzOpF0uhwRuYSMtfRG4rQNjnNmcJyu4Rhpmw0jjeEANWV+QiUeygNeQoHsacDretc1N5mMZSSWZGgsweB4gqGxJEPjCQbHEsRzmyeHS7zMqy5lXnUpLRWls+o1Y0VjiDtXNzpdxjnGmB3W2k2Xuk4xU0TkPVjTHOaDy+twuTRNodj5PC42zq1kfUsFR3oi7Ggdoi8Sd7osETmPyxgaygM0lAe4fn4VyXSGzuEJzgyO0z40wcGuURLpzAVf43UbQgEvXrchk8kGqLS1ZDKWjM2ejyXTnD/7tdTnpqrUx9L6ENVlPuZVlVJR6pvh71YuReFHROQa3byompsWzvyiXslvLpdhRWM5KxrLaRscZ2/7CCf6omqOIJKHvG4X86qDzKsOAtlpavFUhtFYkkgsxehEktFYikgsSSpjcRmDy2Sn1GU/N7hcEPC4qQr6qCz1UVnqxa+93fKWwo+IyFUyBm5fVsf6ORVOlyJ5bk5VKXOqShmLp9jfMcK+jhEisZTTZYnIZRhjCHjdBLxu6rRbwayk8CMichVcxvDRVfWsaCx3uhQpIEG/hxsXVnP9/CpODYyxt32Y1oFxCmjZrYjIrKDwIyIySR6X4a61jSyqLXO6FClQLpdhUW0Zi2rLGI0lOdId4XB3hH6tDRIRmREKPyIik+DzuLh3XZM2L5UpUx7wcv38Kq6fX0VfJJ4LQqOaFiciMo0UfkRE3kWJz80nNzRTXx5wuhSZpWpDfmpDfm5dXE3H8ATHeqKc7B9Ty2wRkSmm8CMicgWhgIdPbmimuszvdClSBIwxtFSW0lJZyh3AQDTOqf4xTvWP0TkcI6NFQiIi74nCj4jIZYRLvHz6uhbCJV6nS5EiVV3mp7rMz6b5VcSSadoGx3NBaIKhcY0KiYhcLYUfEZFLqCzNBp9QQMFH8kPA62ZJfYgl9dn+uxOJNJ0jE3QNx+gcmaB3NEYyrZEhEZErUfgREblITZmPT21sIejXv0jJXyU+97nOcQDpjKU/GqcvEmdwLMHgWIL+aJxoPKWW2iIiOXplFxE5T23Iz6c3tlDi0+7cUljcLkN9eeAdjTkSqQyDYwkGxuKMTqSIxrO71WdPUyRSGYcqFhGZeQo/IiI5DeEAn9zQTMCr4COzh8/joiEcoCF86W6F8VSaaCzFeCJNLJkmnsoQS6aJJTPEU2+fptKWZCaTPU1nSGUsqXRGU+1EpKAo/IiIAM0VJdy3oQm/R8FHiovf48Zf5qb6Gr/eWks6Y0nnTlMZSyZ3evZ8Ohec0hlLKm1JZbLhKZHKkEhliOdOE+n0ufMTiTQTybSm7InIlFL4EZGiN6eqlHvXNeHzuJwuRaTgGGPwuM20HFCkM5bxRIqxeJqxRIrxeJpoPMVoLMnweILBsSSxZHoaHllEZiuFHxEpavNrSrlnbRMet4KPSL5xuwyhgPeKXRfHEykGxxIMjSUZGs82eegejRFPai2TiLyTwo+IFK2FtUE+saZRwUekgJX6PJT6PLRUvn2ZtZb+aIKukQk6h2N0jUwwrH2RRASHwo8x5gHgz4EVwA3W2u1O1CEixWtxXRl3rWnE7TJOlyIiU8wYQ23IT23Iz9qW7GXjiRQdQxOc6BvjVP+YpsuJFCmnRn72A58C/rtDjy8iRWxpfYiPr27ApeAjUjRKfZ5zm8RmMpaO4QmO90U50RslEks5XZ6IzBBHwo+19hBk35kREZlJyxtCfGyVgo9IMXO5DHOqSplTVcody+roHY1xrDfKwc5RonEFIZHZTGt+RKRorGgs52Or6vXGi4hcoK48QF15gJsXVnOyP8qethHahsbVZltkFpq28GOM+TnQcImr/qO19sdXcT8PAg8CzJ07d4qqE5Fis7o5zIdX1Cn4iMhluVyGxXUhFteFGBpLsLdjhIOdo1ofJDKLTFv4sdZ+eIru5zvAdwA2bdqk92BE5KqtmxPmjmUKPiIyeZVBHx9YWssti6o50h1h++lBhtQxTqTgadqbiMxq182r5P1La50uQ0QKlNftYnVzmJWN5RzsGuXNU4OMTigEiRQqRza3MMZ80hjTDtwM/MQY81Mn6hCR2e3GBVUKPiIyJVwuw+rmMF+6ZT4fWlFHKKD3j0UKkVPd3p4GnnbisUWkONyyqJobF1Y7XYaIzDJul2FtSwUrG8vZ2zHC9tODjMW1JkikUOhtCxGZdd6/tIbr5lU5XYaIzGIet4uNcytZ0xzmrVOD7GgdIp3R0mSRfOfItDcRkelgDNyxvE7BR0RmjNft4tbFNXz+xrk0V5Y4XY6IvAuFHxGZFYyBD6+oZ/2cCqdLEZEiVF3m5zc2zeGjq+op8bmdLkdELkPT3kSk4Lldho+tamBZQ8jpUkSkyK1qCrOwpowtx/o42DWqjVJF8oxGfkSkoHndhnvWNSn4iEjeKPG5+eiqBj5zXQuVpV6nyxGR8yj8iEjB8nlc3L+hmQU1QadLERF5h5bKUj534zxWN4edLkVEchR+RKQglfjcPHBdCy2VpU6XIiJyWT6Pi4+srOcTaxvxe3XYJeI0rfkRkYITCnj45IZmqsv8TpciIjIpS+tDNIQDvLivm47hCafLESlaegtCRApKRamXBzbNUfARkYJTHvDymetauHlRNS5jnC5HpCgp/IhIwagNZVvJhku0gFhECpPLZbhpYTUPbGqhXP/LRGacwo+IFIS5VaU8sKmFoF+zdUWk8DVVlPC5G+bSoo1RRWaUwo+I5L0VjSHu39CM36ONA0Vk9ijxufn0xhZtziwygxR+RCSvXT+/io+tasDt0vx4EZl9XC7DHcvr+MjKev2fE5kBmj8iInnJGLhjWR3r9I6oiBSB1c1hqoI+ntvbyVg87XQ5IrOWRn5EJO94XIa71zYq+IhIUWmqKOGzN8ylvjzgdCkis5bCj4jklYDXzaeva2FxXcjpUkREZlwo4OU3NrWwvEH/A0Wmg6a9iUjeqC7zce+6JipKfU6XIiLiGI/bxZ2rGygLeNh+esjpckRmFYUfEckLC2qCfHxNgzq6iYgAxhhuW1JLmd/DL4/2Ya3TFYnMDgo/IuK46+ZVctuSGox2PBcRucCGuZUE/R5+ur+bVEYJSOS9UvgREcd4XIYPrahnZVO506WIiOStpfUhSrxunt3bSTyZcbockYKmhgci4oig381nNrUo+IiITMKcqlJ+Y9McQgG9by3yXij8iMiMqyv389kb5tIYLnG6FBGRglFT5uc3r59DTZmawohcK4UfEZlRa1vC/OamOYQCXqdLEREpOKGAlwc2zaEhrL2ARK6Fwo+IzAifx8Vdaxr50Ip6PG796xERuVYBr5tPbWymuVKj5yJXS0cgIjLtakN+PnfDXJZp0z4RkSnh97j55IZm5teUOl2KSEFR+BGRabWmOcxvXT+HyqDmqIuITCWv28W965pZVFfmdCkiBUPhR0Smxdlpbh9eqWluIiLTxe0y3L2mkeUaWReZFPVLFJEp11QR4KMrGzTaIyIyA1wuw52rG/C4XezvGHG6HJG8pvAjIlPG6zbcvKiGjXMrMMY4XY6ISNEwxvDhFXV43YZdZ4adLkckbyn8iMiU0GiPiIizjDHcvqwOlzHsaB1yuhyRvKTwIyLvicdluGVxNRvnVmq0R0QkD7x/aS2AApDIJSj8iMg1awwH+OiqBqo02iMiklfev7QWY2D7aQUgkfMp/IjIVSvxubllUTVrmsMa7RERyVO3LcmOACkAibxN4UdEJs1lDGvnhLl5YTUBr9vpckRE5F3ctqQWg2Hb6UGnSxHJC9p8Q0QmZW5VKZ+/aS53LKtT8BERKSDvW1LD9fOrnC5j1tm6+TEiQwPnzkeGBti6+TEHK5LJ0MiPiFxRuMTL+5fWsLhOG+iJiBSq9y2pAdAI0BTZuvkxnvrWN3jt2cd56OFHAXjka1+kp/U4AO+79/NOlidXoPAjIpdU5vewcV4l61rCeNwaJBYRKXTvW1KDxWoN0BRYd9udvPbs4/S0HuebD94NQHRkkPp5i1l3250OVydXovAjIhcIBTxcN6+SNc0KPSIis81tS2rJWNipNtjvSaiymocefpRvPng30ZHsaFpZuIqHHn6UUGW1w9XJlSj8iAiQDT3Xz69iVVO5Qo+IyCz2gaW1ZKxl95lhp0sRmXE6whEpcuESLx9aUcf/cusC1s2pUPARESkCdyyrY92csNNlFKzI0ACPfO2LREcGKQtXURauIjoyyCNf++IFTRAk/2jkR6QIuYxhQW2Qtc1h5lWXaq8eEZEidMeyOjIZ2Ncx4nQpBWfPlhfpaT1O/bzF72h4sGfLi2p4kMcUfkSKSCjgYVVTmNXN5YQCXqfLERERBxlj+NCKOjLWcqBz1OlyCsrZcLPutjvPrfF56OFHFXwKgMKPyCzndhnmVZeyqinMwpogLpdGeUREJMsYw0dW1pOxcKhLAehqXBxyQpXVCj4FQOFHZBbyeVzMqy5lcV0ZC2qC+D3alFRERC7NGMPHVtUDlkNdEafLEZlWCj8is4Tf62JhTRmL68qYV12KV40LRERkkowxfHRlAxkLR7oVgGT2UvgRKVAlPjdNFSU0V5TQUllCbZlfU9pEROSauVyGO1c1kLGWYz1Rp8sRmRYKPyIFwO0yVJR6qS3z01yZDTxVQZ+6tImIyJRyuQx3rW7kJ7aL470KQDL7KPzIjAn63YQCXsr8HnweV/bD7cLrduF1G3we17mpWtaCxWItF5xPpS2pTIZEKnuaTL/9eSKVIZ7KEE+miaey51MZ6+B3fPXcLkN5wEN1mZ/qMh/VwexpZakPt0Z1RERkBrhchrvWNPLc3k5O9o05XY7IlFL4kSlV4nPTUB6gpsxPeYmH8oCX8hIvoYDHkTUoqXQuEKUyxFNp4snMuWAUT6XP+/xskMqeJnNfl8pY0ud9XK2zoc7nduHNnfo8Lkq8bsoCHsr8uY/c5yVet0ZzRETEcW6X4e61TQpAMuso/Mg187oNtSE/9eUBGsIBGstLCJfm194xHrcLj9tF0P/e78vaXAiylkwG0rlhKQMYAwbD2dziMgaPy2gNjoiIFCy3y/CJNY08u7eT0/3jTpcjMiUUfuSqVJZ6WVhbxsLaIE3hkqI6uDfG4HEb/dGIiEjR8Lhd3LO2ic17OmkdUACSwqfjOLkiY6ApXMLC2iALa8uoCvqcLklERERmkMft4t51TRoBkllB4Ucuqa7cz+qmMEvqyyj16WkiIiJSzM6OAD23t4tT/VoDJIVLR7Vyjt/rYnlDiNVNYerKA06XIyIiInnE43Zx99pGfrKvS00QpGAp/AjNFSWsai5naX3IkY5sIiIiUhiyAUhd4KRwKfwUKZcxLGsIcd28SmpDU9AKTURERIrC2TbYP9nXxQlthCoFRuGnyPg8LlY1lbNxXiXlgfxqSy0iIiKF4Wwb7Of3dXFcAUgKiMJPkSj1uVk3p4L1cyoIeN1OlyMiIiIF7lwA2t/FsR4FICkMCj+zXJnfw6b5laxuDms9j4iIiEwpl8tw1+pGXnL3cLBz1OlyRN6Vws8sVepzs2l+JWtbKhR6REREZNq4XIaPrqzH53Gx+8yw0+WIXJHCzyzj97q4bm4lG+ZW4vMo9IiIiMj0M8Zwx7I6/G4Xb54adLockctS+JklfB4XG+ZUsHFepdb0iIiIiCNuWVyDz+Niy7F+p0sRuSSFnwLndhnWtoS5cUE1JT6FHhEREXHWpvlV+DwuXj7ci7VOVyNyIYWfAmUMLG8o5+ZF1YRL1LJaRERE8sfalgp8Hhc/3d9DRglI8ojCTwFaUBPk1sU12pxURERE8tbyhnJ8bhfP7+simVYAkvyg8FNAGsMBbl1cw5yqUqdLEREREXlXC2vL+Mx1c/jx7g7GE2mnyxFR+CkEVUEfty6uZnFdyOlSRERERK5KQzjAb10/l6d3tTM0nnS6HClyCj95LBTwcNPCalY2luNyGafLEREREbkm4VIvv3n9XJ7d00nH8ITT5UgRU/jJQwGvmxsWVLKupQKPNigVERGRWaDE5+ZTG5t58UA3x3qiTpcjRUrhJ4/4PC7Wz6ngOu3VIyIiIrOQx+3iE2sa+VWgn52tQ06XI0VI4ScPeN2GtS0VbJpfSalPvxIRERGZvYwxfGBpLeUBD7862q9W2DKjdKTtIK/bsKalgk3zKgn69asQERGR4rFhbiXVQT/P7+9iQp3gZIboiNsBHpdhdUuY6+dXUabQIyIiIkVqbnUpn71hLs/t7aR3NO50OVIEdOQ9g3weF6uaytmk0CMiIiICQLjEy29smsMvDvVyqGvU6XJkltMR+AwI+t2sn1PJ2pawGhmIiIiIXMTrdnHn6gYawgF+dbSPdEbrgGR6KPxMo6qgj+vmVbK8IaSW1SIiIiLvYv2cCmrKfDy/r4uxuNYBydRT+JkGLZUlbJxXycKaIMZoc1IRERGRyWqpzK4DemF/Nx1D2hBVppbCzxQp9blZ0VjO6uYwVUGf0+WIiIiIFKxQwMsD17WwvXWI108MaBqcTBmFn/fAGJhbVcrq5jCLastwuzTKIyIiIjIVjDFcP7+KeVWlvHigm4FowumSZBZQ+LlGC2vLWNtcQbjU63QpIiIiIrNWXXmAz94wl63H+tndNux0OVLgtAr/GjVXlCj4iIiIiMwAr9vFHcvr+OSGZoJ+dc6Va6fwIyIiIiIFYX5NkN++aT7LGkJOlyIFSuFHRERERApGic/NXWsa+dTGZio1C0euksKPiIiIiBScedVBvnDTPG5eVI1HTadkkhR+RERERKQgedwublpYzRdvns+CmqDT5UgBcCT8GGO+aYw5bIzZa4x52hhT4UQdIiIiIlL4wqVe7t/QzD3rGgkF1MxYLs+pkZ+XgNXW2rXAUeA/OFSHiIiIiMwSi+tCfOmW+bx/aQ0lPnWFk3dyJPxYa39mrU3lzr4BtDhRh4iIiIjMLh63i+vmVfG/3DqfmxZW4/NolYe8LR+eDV8GXnC6CBERERGZPfweNzcvqubLty5g47xKNUUQAKZtUqQx5udAwyWu+o/W2h/nbvMfgRTw2BXu50HgQYC5c+dOQ6UiIiIiMluV+Nx8YGktG+dW8NapQQ52jpLKWKfLEodMW/ix1n74StcbY74E3A18yFp72WegtfY7wHcANm3apGeqiIiIiFy1UMDLh1bUc9PCava0DbO3Y4SJRNrpsmSGOdIOwxhzJ/A14APW2nEnahARERGR4hP0e7hlcQ3XL6jiYOcoO88MMTyedLosmSFO9QL8FuAHXjLGALxhrf2KQ7WIiIiISJHxul2sm1PB2pYwJ/qi7GgdonM45nRZMs0cCT/W2sVOPK6IiIiIyPmMMSyuC7G4LkRfJM7+jhEOdY8ST2acLk2mgXaBEhEREREBakN+7lhex/uW1HCsJ8r+jhE6hiecLkumkMKPiIiIiMh5vG4XK5vKWdlUzkA0zv7OUQ53jTKuBgkFT+FHREREROQyqsv8fGBpLbctruHM4DiHuyOc6IuSSGlaXCFS+BEREREReRcul2F+TZD5NUGS6Qwn+8Y43D1K68A4ae0bVDAUfkREREREroLX7WJZQ4hlDSFiyTTHe6Mc643QNjihIJTnFH5ERERERK5RwOtmdXOY1c1hYsk0J/vGON4XpbV/jJSCUN5R+BERERERmQIBr/tco4REKsPpgTGO90Y5PTCm1tl5QuFHRERERGSK+TwultaHWFofIpOxdAxPcKp/jFP9YwyOJZwur2gp/IiIiIiITCOXyzCnqpQ5VaW8f2ktQ2MJTvaPcbp/jM7hCU2Pm0EKPyIiIiIiM6gy6OO6oI/r5lWSTGfoGJrgzOA4rYPjDETjWGWhaaPwIyIiIiLiEK/bda6FNsBYPMWZwXHODI7TMTTByETS4QpnF4UfEREREZE8EfR7WNFYzorGcgCi8RSdwxN0DE/QNRyjLxIno6Gha6bwIyIiIiKSp8r8nnONEwASqQzdIzF6IjH6I3H6onGGxpIKRJOk8CMiIiIiUiB8Hhdzq0uZW1167rJkOsNANEFfJE5/NM7gWILRWJJILKVNVy+i8CMiIiIiUsC8bhcN4QAN4cAFl2cylmgixch4ktFYkpGJJGPxNPFUmngyQzyVyX6eypBIZS4ZlIwBg8FlsvsYBXxuSry5D5+LgMdNY0XJTH2r75nCj4iIiIjILORyGcoDXsoD3knd/mz4MeRCjzHTWJ0zFH5ERERERAS3a/aFnYu5nC5ARERERERkJij8iIiIiIhIUVD4ERERERGRoqDwIyIiIiIiRUHhR0REREREioLCj4iIiIiIFAWFHxERERERKQoKPyIiIiIiUhQUfkREREREpCgo/IiIiIiISFFQ+BERERERkaKg8CMiIiIiIkVB4UdERERERIqCwo+IiIiIiBQFhR8RERERESkKCj8iIiIiIlIUFH5ERERERKQoKPyIiIiIiEhRMNZap2uYNGNMH9DqdB15pAbod7oIcZSeA6LngOg5IHoOiJ4DF5pnra291BUFFX7kQsaY7dbaTU7XIc7Rc0D0HBA9B0TPAdFzYPI07U1ERERERIqCwo+IiIiIiBQFhZ/C9h2nCxDH6Tkgeg6IngOi54DoOTBJWvMjIiIiIiJFQSM/IiIiIiJSFBR+8pwx5k5jzBFjzHFjzNcvcb3fGPOD3PVvGmPmO1CmTLNJPA/+d2PMQWPMXmPML4wx85yoU6bPuz0Hzrvdp40x1hijrj+zzGSeA8aY38j9LzhgjHl8pmuU6TWJ14K5xphXjDG7cq8HdzlRp0wfY8z/NMb0GmP2X+Z6Y4z5r7nnyF5jzMaZrjHfKfzkMWOMG/g28HFgJfBZY8zKi272vwJD1trFwH8G/mZmq5TpNsnnwS5gk7V2LfAk8PDMVinTaZLPAYwxIeCPgDdntkKZbpN5DhhjlgD/AbjVWrsK+LczXadMn0n+H/hT4IfW2g3AbwGPzGyVMgO+C9x5hes/DizJfTwI/P0M1FRQFH7y2w3AcWvtSWttAvg+cN9Ft7kP+Ofc508CHzLGmBmsUabfuz4PrLWvWGvHc2ffAFpmuEaZXpP5XwDwf5F9AyQ2k8XJjJjMc+B3gW9ba4cArLW9M1yjTK/JPAcsUJ77PAx0zmB9MgOstb8CBq9wk/uAR23WG0CFMaZxZqorDAo/+a0ZaDvvfHvuskvexlqbAkaA6hmpTmbKZJ4H5/tfgRemtSKZae/6HMhNbZhjrf3JTBYmM2Yy/weWAkuNMa8ZY94wxlzp3WEpPJN5Dvw58AVjTDvwPPAHM1Oa5JGrPWYoOh6nCxCRqWOM+QKwCfiA07XIzDHGuIC/A77kcCniLA/ZqS63kx39/ZUxZo21dvj/3979g8hVhlEYfw6JYcWkchtBISkshG0shGipYmGxlYU2UbFNE8TKQhDBQuwVUQRBRRuZLk2w0iKphFhIUAkRi2CRRpQYj8WdQkSSK7hz7859ftXMMMUp3vlz5vu+O1OG0kY9B3zY9u0kjwIfJdlr++fUwaS5cOVn3n4CHvjb/fvXj/3rc5IcZVjm/mUj6bQpY+aAJE8CrwL7bX/fUDZtxp1m4ASwB3yZ5EfgNLDyogdbZcz7wDVg1fZm2x+A7xjKkLbDmBl4CfgMoO3XwA6wu5F0motR3xmWzPIzbxeBB5OcSnKM4fDi6h/PWQHPr28/A1yof960be44B0keBt5lKD7u898+t52Btjfa7rY92fYkw7mv/baXpomrAzDm8+ALhlUfkuwybIP7foMZdbDGzMBV4AmAJA8xlJ/rG02pqa2AM+urvp0GbrT9eepQc+K2txlr+0eSs8B54AjwQdvLSV4HLrVdAe8zLGtfYTgA9+x0iXUQRs7BW8Bx4PP19S6utt2fLLT+VyNnQFts5AycB55K8i1wC3ilrTsBtsTIGXgZeC/JOYaLH7zgD6LbJcknDD9y7K7Pdr0G3AXQ9h2Gs15PA1eAX4EXp0k6X/E1IUmSJGkJ3PYmSZIkaREsP5IkSZIWwfIjSZIkaREsP5IkSZIWwfIjSZIkaREsP5IkSZIWwfIjSZIkaREsP5KkQyfJI0m+SbKT5J4kl5PsTZ1LkjRv/smpJOlQSvIGsAPcDVxr++bEkSRJM2f5kSQdSkmOAReB34DH2t6aOJIkaebc9iZJOqzuBY4DJxhWgCRJui1XfiRJh1KSFfApcAq4r+3ZiSNJkmbu6NQBJEn6r5KcAW62/TjJEeCrJI+3vTB1NknSfLnyI0mSJGkRPPMjSZIkaREsP5IkSZIWwfIjSZIkaREsP5IkSZIWwfIjSZIkaREsP5IkSZIWwfIjSZIkaREsP5IkSZIW4S+IUOORso8VRwAAAABJRU5ErkJggg==",
"text/plain": [
"
"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(14, 8))\n",
"\n",
"# Plot the GP fit mean and covariance\n",
"plot_gp(Xnew, mean, Cov, training_points=(X,Y))\n",
"plt.title(\"Explicit (homemade) regression model fit\");"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We can also save effort and time by to do Gaussian process regression using `GPy`, by creating a GP regression model with sample points $(\\mathbf{X}, \\mathbf{Y})$ and the Gaussian RBF kernel:"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
"Model: GP regression \n",
"Objective: 13.637227895772732 \n",
"Number of Parameters: 3 \n",
"Number of Optimization Parameters: 3 \n",
"Updates: True \n",
"
\n",
"\n",
"
GP_regression.
value
constraints
priors
\n",
"
rbf.variance
1.0
+ve
\n",
"
rbf.lengthscale
0.1
+ve
\n",
"
Gaussian_noise.variance
1.0
+ve
\n",
"
"
],
"text/plain": [
""
]
},
"execution_count": 20,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"m = GPy.models.GPRegression(X, Y, k)\n",
"m "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We can use GPy's regression and prediction tools, which _should_ give the same result as our basic implementation:"
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"
"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# Use GPy model to calculate the mean and covariance of the fit at Xnew\n",
"mean, Cov = m.predict_noiseless(Xnew, full_cov=True)\n",
"\n",
"plt.figure(figsize=(14, 8))\n",
"\n",
"# Plot the GP fit mean and covariance\n",
"plot_gp(Xnew, mean, Cov, training_points=(X,Y))\n",
"plt.title(\"GPy regression model fit\");"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"It can be clearly seen that this *is* the same fit as our above model. However, using GPy gives flexibility and ease of use for extending the capabilities of the fitting, including use of different kernels, optimising parameters and solving more complicated problems, including classification. We also don't need to write explicit equations and manually creating covariances matrices."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Exercise 4\n",
"\n",
"(a) What do you think of this initial fit? Does the prior given by the GP seem to be adapted?"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"> It's clear that the observations are captured in the confidence interval, but the fit is not particularly good. The parameters used may not be the best they can be to minimise the loss of the fit."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"(b) The parameters of the model can be editted much like those of the kernel. For example, \n",
"```\n",
"m.Gaussian_noise = 0.1\n",
"```\n",
"or\n",
"```\n",
"m.rbf.variance = 2.0\n",
"```\n",
"Change the values of the parameters to try and obtain a better fit of the GP. You can recalculate the updated mean and covariance after changing the values by calling `m.predict_noiseless` as above.\n",
"\n",
"*Note: changing the original kernel `k` will also affect the model parameters due to how Python connects objects, but this is not a reliable way of setting the parameters, so you should adjust the kernel parameters via the model `m` as described*"
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
"Model: GP regression \n",
"Objective: 9.71066819372982 \n",
"Number of Parameters: 3 \n",
"Number of Optimization Parameters: 3 \n",
"Updates: True \n",
"
"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"m.Gaussian_noise = 0.01\n",
"m.rbf.lengthscale = 0.1\n",
"\n",
"mean, Cov = m.predict_noiseless(Xnew, full_cov=True)\n",
"\n",
"plt.figure(figsize=(14, 8))\n",
"# Plot the GP fit mean and covariance\n",
"plot_gp(Xnew, mean, Cov, training_points=(X,Y))\n",
"\n",
"# Preview the regression model\n",
"display(m)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"(c) Given that we can obtain the mean and covariance of the GP fit, we can also sample the GP posterior as a multivariate Gaussian process. This can be done as in Section 4, where we sampled the priors as defined by the kernels, i.e. with `np.random.multivariate_normal`. Obtain 10 samples from the GP posterior and plot them alongside the data. Try to simulate noisy measurements using `m.predict` (rather than `m.predict_noiseless`).\n",
"\n",
"*Remember to get the full covariance matrix, using `full_cov=True`, and note that to make the mean vector 1-D (for sampling a multivariate normal), you need `np.random.multivariate_normal(mean[:,0], Cov)`)*"
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"
"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(18, 6))\n",
"\n",
"mean, Cov = m.predict_noiseless(Xnew, full_cov=True)\n",
"\n",
"Z = np.random.multivariate_normal(mean[:,0], Cov, 10)\n",
"plt.subplot(121)\n",
"for z in Z:\n",
" plt.plot(Xnew, z, \"g-\", alpha=0.2)\n",
"plt.plot(X, Y, \"kx\", mew=2)\n",
"plt.xlabel(\"x\"), plt.ylabel(\"f\"), plt.title(\"samples from the posterior GP fit of $f$\") \n",
"\n",
"mean, Cov = m.predict(Xnew, full_cov=True)\n",
"z = np.random.multivariate_normal(mean[:,0], Cov)\n",
"plt.subplot(122)\n",
"plt.plot(Xnew, z, \".\")\n",
"plt.xlabel(\"x\"), plt.ylabel(\"f\"), plt.title(\"sample set of noisy measurements drawn from the GP posterior\");"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"---"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 6. Covariance Function Parameter Estimation\n",
"\n",
"As discussed in the lectures, the values of kernel parameters can be estimated by maximising the likelihood of the observations. This is useful to optimise our estimate of the underlying function, without eye-balling parameters to get a good fit.\n",
"\n",
"In `GPy`, the `model` objects such as `GPRegression`, have parameter optimisation functionality. We can call this as following:"
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
"Model: GP regression \n",
"Objective: 9.131997986860798 \n",
"Number of Parameters: 3 \n",
"Number of Optimization Parameters: 3 \n",
"Updates: True \n",
"
\n",
"\n",
"
GP_regression.
value
constraints
priors
\n",
"
rbf.variance
0.7674222554517867
+ve
\n",
"
rbf.lengthscale
0.10825613397511177
+ve
\n",
"
Gaussian_noise.variance
6.87476666641343e-08
+ve
\n",
"
"
],
"text/plain": [
""
]
},
"execution_count": 24,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"m.optimize()\n",
"m"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We can see the selected parameters in the model table above. The regression fit with the optimised parameters can be plotted:"
]
},
{
"cell_type": "code",
"execution_count": 25,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[]"
]
},
"execution_count": 25,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
"
"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# Get mean and covariance of optimised GP\n",
"mean, Cov = m.predict_noiseless(Xnew, full_cov=True)\n",
"\n",
"# Setup the figure environment\n",
"plt.figure(figsize=(14, 8))\n",
"\n",
"# Plot the GP fit mean and covariance\n",
"plot_gp(Xnew, mean, Cov, training_points=(X,Y))\n",
"plt.plot(Xnew, f(Xnew), \"r:\", lw=3)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Parameter constraints\n",
"\n",
"We can see in the above model that the regression model is fit to the data, as the optimiser has minimised the noise effect in the model, `Gaussian_noise.variance`$ = 4.804\\times10^{-8}$. If we *know*, or can reasonably approximate, the variance of the observation noise $\\epsilon$, we can fix this parameter for the optimiser, using `fix`, which in the case of the above is $0.01$. We can also limit the values that the parameters take by adding constraints. For example, the variance and lengthscale can only be positive, so calling `constrain_positive`, we can enforce this (note that this is the default constraint for GP regression anyway)."
]
},
{
"cell_type": "code",
"execution_count": 26,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"reconstraining parameters GP_regression\n"
]
},
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
"Model: GP regression \n",
"Objective: 9.250340296947561 \n",
"Number of Parameters: 3 \n",
"Number of Optimization Parameters: 2 \n",
"Updates: True \n",
"
\n",
"\n",
"
GP_regression.
value
constraints
priors
\n",
"
rbf.variance
0.7505272844576688
+ve
\n",
"
rbf.lengthscale
0.10871106287414853
+ve
\n",
"
Gaussian_noise.variance
0.01
fixed +ve
\n",
"
"
],
"text/plain": [
""
]
},
"execution_count": 26,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Constrain the regression parameters to be positive only\n",
"m.constrain_positive()\n",
"\n",
"# Fix the Gaussian noise variance at 0.01 \n",
"m.Gaussian_noise.variance = 0.01 # (Reset the parameter first)\n",
"m.Gaussian_noise.variance.fix()\n",
"\n",
"# Reoptimise\n",
"m.optimize()\n",
"m"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We can see our constraints in the corresponding column in the above table, where \"`+ve`\" means we are constrained to positive values, and `fixed` means the optimiser will not try and optimise this parameter. We can see here that the variance of the noise in the model is unchanged by the optimiser. Looking at the resulting plot, we can see that we have a much more reasonable confidence in our estimate, and that the true function is hard to distinguish from samples drawn from our fit, indicating that we have reasonable approximation of the true function given noisy observations."
]
},
{
"cell_type": "code",
"execution_count": 27,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"
"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# Get mean and covariance of optimised GP\n",
"mean, Cov = m.predict_noiseless(Xnew, full_cov=True)\n",
"\n",
"# Setup our figure environment\n",
"plt.figure(figsize=(18, 14))\n",
"\n",
"# The top plot shows our mean regression fit and 95% confidence intervals \n",
"plt.subplot(211)\n",
"# Plot the GP fit mean and covariance\n",
"plot_gp(Xnew, mean, Cov, training_points=(X,Y))\n",
"plt.title(\"GP posterior\")\n",
"plt.subplot(212)\n",
"\n",
"plt.plot(Xnew, f(Xnew),\"r:\", lw=3)\n",
"\n",
"Z = np.random.multivariate_normal(mean[:,0], Cov, 20)\n",
"for z in Z:\n",
" plt.plot(Xnew,z, \"g-\", alpha=0.2)\n",
" \n",
"plt.xlabel(\"x\"), plt.ylabel(\"f\")\n",
"plt.legend(labels=[\"true $f(x)$\", \"samples from GP\"]);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Using the prior knowledge of the noise in the data has given us a reasonably good approximation of the true function. The samples from the GP demonstrate provide fits to the observed data and roughly follow the shape of the true function $f$, particularly in the range for which we have samples.\n",
"\n",
"### Exercise 5\n",
"\n",
"The function we used is a sum of sinusoids, and therefore has inherent periodicity. However, we only have samples for a single period, so this is not directly seen in the domain of $[0, 1]$.\n",
"\n",
"(a) Try predicting the function on the range of $[0, 2]$ instead (`Xnew = np.linspace(0., 2., 100)[:,None]`), and compare the fitted GP posterior with the true function $f$.\n",
"\n",
"*Note, you shouldn't need to retrain the model or adjust the hyperparameters.*"
]
},
{
"cell_type": "code",
"execution_count": 28,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 28,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
"
"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"Xnew = np.linspace(0., 2., 100)[:, None]\n",
"mean, Cov = m.predict_noiseless(Xnew, full_cov=True)\n",
"\n",
"plt.figure(figsize=(14, 8))\n",
"plot_gp(Xnew, mean, Cov, training_points=(X,Y))\n",
"plt.plot(Xnew, f(Xnew), \"r:\", lw=3)\n",
"plt.legend(labels=[\"GP fit\", \"sample points\", \"true $f(x)$\"])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"(b) Comment on the fit of the GP, and the uncertainty in regions where we have no observations. Is the GP still a good fit? How might we produce a better fit, for example, if we knew $f(x)$ had a periodic nature?"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"> The prediction becomes useless in the areas where we are extrapolating, which makes some degree of sense. However, since the function is sinusoidal, we can see there is some periodicity that we may be able to exploit in our GP fit"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"---"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 7. Real World Example\n",
"\n",
"We'll consider now a classic real world example using atmospheric $\\mathrm{CO}_{2}$ observations from the Mauna Loa Observatory, Hawaii. The dataset is a good demonstration of the predictive power of Gaussian processes, and we will use it to show how we can encode our prior beliefs to combine kernels.\n",
"\n",
"First, we need to download the dataset. "
]
},
{
"cell_type": "code",
"execution_count": 29,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"\n",
"Data keys:\n",
"dict_keys(['X', 'Y', 'Xtest', 'Ytest', 'info', 'citation', 'details', 'files', 'license', 'size', 'urls'])\n",
"\n",
"Citation:\n",
"Mauna Loa Data. Dr. Pieter Tans, NOAA/ESRL (www.esrl.noaa.gov/gmd/ccgg/trends/) and Dr. Ralph Keeling, Scripps Institution of Oceanography (scrippsco2.ucsd.edu/).\n",
"\n",
"Info:\n",
"Mauna Loa data with 545 values used as training points.\n"
]
}
],
"source": [
"import pickle\n",
"import requests\n",
"\n",
"# Load in the data\n",
"req = requests.get('https://github.com/gpschool/labs/raw/2023/.resources/mauna_loa')\n",
"data = pickle.loads(req.content)\n",
" \n",
"print(\"\\nData keys:\")\n",
"print(data.keys())\n",
"\n",
"print(\"\\nCitation:\")\n",
"print(data['citation'])\n",
"\n",
"print(\"\\nInfo:\")\n",
"print(data['info'])"
]
},
{
"cell_type": "code",
"execution_count": 30,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"
"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# Training data (X = input, Y = observation)\n",
"X, Y = data['X'], data['Y']\n",
"\n",
"# Test data (Xtest = input, Ytest = observations)\n",
"Xtest, Ytest = data['Xtest'], data['Ytest']\n",
"\n",
"# Set up our plotting environment\n",
"plt.figure(figsize=(14, 8))\n",
"\n",
"# Plot the training data in blue and the test data in red\n",
"plt.plot(X, Y, \"b.\", Xtest, Ytest, \"r.\")\n",
"\n",
"# Annotate plot\n",
"plt.legend(labels=[\"training data\", \"test data\"])\n",
"plt.xlabel(\"year\"), plt.ylabel(\"CO$_2$ (PPM)\"), plt.title(\"Monthly mean CO$_2$ at the Mauna Loa Observatory, Hawaii\");"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**You may want to subsample the data to save time during the labs**\n",
"\n",
"Run the following to reduce the datasize by only using every other training point:"
]
},
{
"cell_type": "code",
"execution_count": 31,
"metadata": {},
"outputs": [],
"source": [
"X = X[::2, :]\n",
"Y = Y[::2, :]"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Naive GP regression\n",
"\n",
"First, we will try to fit a basic RBF to our data, as we have used in previous examples"
]
},
{
"cell_type": "code",
"execution_count": 32,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
"Model: GP regression \n",
"Objective: 612.8931624384373 \n",
"Number of Parameters: 3 \n",
"Number of Optimization Parameters: 3 \n",
"Updates: True \n",
"
"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"Xnew = np.vstack([X, Xtest])\n",
"\n",
"mean, Cov = m.predict(Xnew, full_cov=True)\n",
"\n",
"plt.figure(figsize=(14, 8))\n",
"plot_gp(Xnew, mean, Cov)\n",
"plt.plot(X, Y, \"b.\");"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"It is possible to make the model fit the data near perfectly by minimising the variance of the Gaussian noise in the likelihood and fixing the kernel variance."
]
},
{
"cell_type": "code",
"execution_count": 34,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
"Model: GP regression \n",
"Objective: 1597972.8466213134 \n",
"Number of Parameters: 3 \n",
"Number of Optimization Parameters: 1 \n",
"Updates: True \n",
"
\n",
"\n",
"
GP_regression.
value
constraints
priors
\n",
"
rbf.variance
10.0
+ve fixed
\n",
"
rbf.lengthscale
9.727381584991269e-105
+ve
\n",
"
Gaussian_noise.variance
1e-05
+ve fixed
\n",
"
"
],
"text/plain": [
""
]
},
"execution_count": 34,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Effectively remove noise parameter (needs to be >0, so select value that is very low)\n",
"m.Gaussian_noise.variance = 0.00001\n",
"m.Gaussian_noise.variance.fix()\n",
"\n",
"# We will fix the variance as well, so that only the lengthscale is optimised\n",
"m.rbf.variance = 10.\n",
"m.rbf.variance.fix()\n",
"\n",
"# This should minimize the lengthscale to fit closely to the training points\n",
"m.optimize()\n",
"m"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**But** this has no predictive power, and we have really just overfitted to the training data"
]
},
{
"cell_type": "code",
"execution_count": 35,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"
"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"mean, Cov = m.predict(Xnew, full_cov=True)\n",
"\n",
"plt.figure(figsize=(18, 5))\n",
"\n",
"# The left plot shows the GP fit to a subsample of our training set\n",
"plt.subplot(121)\n",
"plot_gp(Xnew, mean, Cov)\n",
"plt.plot(X, Y, \"b.\");\n",
"plt.gca().set_xlim([1960,1980]), plt.gca().set_ylim([310, 340])\n",
"\n",
"# The right plot shows that the GP has no predictive power and reverts to 0\n",
"plt.subplot(122)\n",
"plot_gp(Xnew, mean, Cov)\n",
"plt.plot(X, Y, \"b.\");"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### GP Regression with combined covariance functions\n",
"\n",
"Taking a look at the training data, we can see a number of features that occur in the data. There is a clear periodic trend that is yearly, and an approximately linear trend. We can use this prior information in our choice of kernel to give some meaning to the GP fit.\n",
"\n",
"First, we will look at the linear trend. It should be obvious that the overall trend (ignoring the periodicity) can be described approximately by $f(x) \\approx a + bx$. To embed this as a covariance function, we can use the `Linear` covariance functions, which adds a linear trend to the covariance.\n",
"\n",
"### Exercise 6\n",
"\n",
"(a) Create a `Linear` kernel with reasonable estimates of the parameters that represent the trend?"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"`k_L = GPy.kern.Linear(1, variances=[1.])`"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"(b) How might we encode this trend in the mean estimate of the GP ?"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"> Use a mapping function to represent the linear trend. We can hard code the parameters (gradient and intercept), or give them priors."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"(c) Create a GP regression model using the kernels to fit the data. Comment on good is the fit and the predictive power of the model? "
]
},
{
"cell_type": "code",
"execution_count": 36,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
"Model: GP regression \n",
"Objective: 7695.687494280193 \n",
"Number of Parameters: 3 \n",
"Number of Optimization Parameters: 3 \n",
"Updates: True \n",
"
"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# Linear mapping function (with RBF kernel)\n",
"\n",
"mean_func = GPy.mappings.Additive(\n",
" GPy.mappings.Linear(1, 1), # gradient\n",
" GPy.mappings.Constant(1, 1, value=360) # intercept\n",
")\n",
"\n",
"m2 = GPy.models.GPRegression(\n",
" X, Y, \n",
" kernel = GPy.kern.RBF(1),\n",
" mean_function=mean_func\n",
")\n",
"\n",
"mean, Cov = m2.predict(Xnew)\n",
"\n",
"plt.figure(figsize=(14,8))\n",
"plot_gp(Xnew, mean, Cov)\n",
"plt.plot(X, Y, \".b\", Xtest, Ytest, \".r\", alpha=0.4);\n",
"plt.legend(labels=[\"GP fit\",\"training points\", \"test points\"])\n",
"\n",
"display(m2)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Periodicity\n",
"\n",
"It's there is a seasonal trend over the year, and that a simple linear fit cannot capture this information. However, we can add this using our choice of kernel by adding a `StdPeriodic` kernel to our regression model. It's evident to the data that the period is yearly, so a period of $\\omega=1$ is a sensible choice for our initial parameter:"
]
},
{
"cell_type": "code",
"execution_count": 38,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
"Model: GP regression \n",
"Objective: 692.2315751847443 \n",
"Number of Parameters: 6 \n",
"Number of Optimization Parameters: 6 \n",
"Updates: True \n",
"
"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"ks = [ # Our kernels\n",
" GPy.kern.Bias(1, variance=10000.), # Constant offset\n",
" GPy.kern.Linear(1), # Linear trend\n",
" GPy.kern.StdPeriodic(1, period=1) # Periodicity\n",
"]\n",
"\n",
"# Create a regression model with an additive kernel (bias + linear + periodic)\n",
"m = GPy.models.GPRegression(X, Y, ks[0] + ks[1] + ks[2])\n",
"\n",
"# Optimise hyperparameters to maximise likelihood\n",
"m.optimize()\n",
"\n",
"# Predict the value of CO2 using our GP fit\n",
"mean, Cov = m.predict(Xnew)\n",
"\n",
"# Set up plotting\n",
"plt.figure(figsize=(14,8))\n",
"\n",
"# Plot GP fit\n",
"plot_gp(Xnew, mean, Cov)\n",
"# Show our training and test points\n",
"plt.plot(X, Y, \".b\", Xtest, Ytest, \".r\", alpha=0.4)\n",
"# Annotate plot\n",
"plt.legend(labels=[\"GP fit\",\"training points\", \"test points\"])\n",
"\n",
"# Preview the parameters of our model\n",
"m"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"From the plot we can see that while we have maintained the periodicity in our prediction, there is some deviation in the amplitude of each period. Likewise, the data is not strictly linear. We can embed model these non-linearities and deviations by adding an `Exponential` kernel. First, in the summative kernel, but also by multiplying a Gaussian RBF by the periodic kernel. For some intiution on how this allows for deviation of the periodicity, see the corresponding sample plot in Section 4.\n",
"\n",
"Note that the `Exponential` kernel describes an exponential decay in covariance with distance between points, and does **not** model an exponential trend in the overall data. The `RBF` kernel describes a smoother (Gaussian) decay, which may be a better model for changes in the periodic signal."
]
},
{
"cell_type": "code",
"execution_count": 39,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"
"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# Create our GP regression model with the composite kernel\n",
"m = GPy.models.GPRegression(X, Y, k)\n",
"\n",
"# Predict the CO2 at the training and test locations\n",
"mean, Cov = m.predict(Xnew)\n",
"\n",
"# Setup figure \n",
"plt.figure(figsize=(14,8))\n",
"\n",
"# Plot the GP fit and training points\n",
"plot_gp(Xnew, mean, Cov)\n",
"plt.plot(X, Y, \".b\", Xtest, Ytest, \".r\", alpha=0.4);\n",
"\n",
"# Annotate plot\n",
"plt.legend(labels=[\"GP fit\",\"training points\", \"test points\"]);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We can see that with even with our initial (mostly default) parameter choices, the GP fit to the training data is representative of the trends we are observing. However, the prediction of the test data is relatively poor (though we still have an upward trend). The obvious step now is to optimise our kernel parameters.\n",
"\n",
"Optimisation of the GP in itself is imperfect, often because the likelihood we are maximising can be multimodal, or flat, and so it can get stuck in local-maxima. It is always important to sanity-check the GP fit when optimising the parameters, to mitigate problems that could occur as a result (such as the minimised noise example we saw earlier). One of the ways to avoid the problem of local maxima is to reinitialise the optimiser with different starting locations, and take the maximum of these outputs. This is possible in `GPy` using `optimize_restarts(n)`, which will optimise the parameters $n$ times and take the best estimate."
]
},
{
"cell_type": "code",
"execution_count": 41,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Optimization restart 1/5, f = 149.5125570541852\n",
"Optimization restart 2/5, f = 395.00569212359585\n",
"Optimization restart 3/5, f = 518.2345217076671\n",
"Optimization restart 4/5, f = 138.07512034906247\n",
"Optimization restart 5/5, f = 138.03606015144737\n"
]
},
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
"Model: GP regression \n",
"Objective: 138.03606015144737 \n",
"Number of Parameters: 10 \n",
"Number of Optimization Parameters: 10 \n",
"Updates: True \n",
"
"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# Optimise hyperparameters 5 times to get a good estimate \n",
"m.optimize_restarts(5, robust=True) # We could do this more times, but it can be quite time consuming\n",
"\n",
"# Get the moments of our model fit\n",
"mean, Cov = m.predict(Xnew)\n",
"\n",
"# Set up plot environment\n",
"plt.figure(figsize=(14,8))\n",
"\n",
"# Plot our optimised GP and training/test points\n",
"plot_gp(Xnew, mean, Cov)\n",
"plt.plot(X, Y, \".b\", Xtest, Ytest, \".r\", alpha=0.4);\n",
"# Annotate plot\n",
"plt.legend(labels=[\"GP fit\",\"training points\", \"test points\"])\n",
"# Preview model parameters\n",
"m"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We can see from the output of the optimiser that there are a number of different minima in the negative log-likelihood (corresponding to maxima in the likelihood), implying that there are several modes. However, it's possible to get a good fit of the function with a GP with great predictive power. You might try allowing the optimiser to run for more iterations when you have more time.\n",
"\n",
"We can also look at the effects of each kernel on the GP model, which will show the features that it represents in the fit. For example, we expect the `Bias` to capture the offset, and the `Exponential` kernel to extract most of the non-linearity (that's not explained by the periodicity). We can view the effects of each of the components and the combination of them to see how they deconstruct the training data. This shows what features are being learned by which kernel."
]
},
{
"cell_type": "code",
"execution_count": 42,
"metadata": {},
"outputs": [
{
"data": {
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rKt1PSZIkSZJUGVVPVgBXAreklE4Gbslel7M/pbQse1xcue5JkiRJkqRKykOy4hLguuz5dcDrqtcVSZIkSZJUbXlIVhyTUtqSPd8KHNNPu6kRsTIi7oyI1/W3s4i4Imu3sr6+frj7KkmSJEmSRtjESrxJRPwSOLbMqr8rfZFSShGR+tnN8SmlTRFxAvCriHgopfRk70YppWuAawCWL1/e374kSZIkSVJOVSRZkVL6g/7WRcS2iFiQUtoSEQuA7f3sY1P2d11E3AqcBfRJVkiSJEmSpNEtD8NAVgCXZs8vBX7Uu0FEHBkRU7Ln84DnA49UrIeSJEmSJKli8pCs+DTwsoh4AviD7DURsTwivpy1ORVYGREPAL8GPp1SMlkhSZIkSdIYVJFhIANJKTUALy2zfCXw7uz574FnV7hrkiRJkiSpCvJQWSFJkiRJktTNZIUkSZIkScoVkxWSJEmSJClXTFZIkiRJkqRcMVkhSZIkSZJyxWSFJEmSJEnKFZMVkiRJkiQpV0xWSJIkSZKkXDFZIUmSJEmScsVkhSRJkiRJyhWTFZIkSZIkKVdMVkiSJEmSpFwxWSFJkiRJknLFZIUkSZIkScoVkxWSJEmSJClXTFZIkiRJkqRcMVkhSZIkSZJyxWSFJEmSJEnKFZMVkiRJkiQpV0xWSJIkSZKkXDFZIUmSJEmScsVkhSRJkiRJyhWTFZIkSZIkKVdMVkiSJEmSpFwxWSFJkiRJknLFZIUkSZIkScoVkxWSJEmSJClXTFZIkiRJkqRcMVkhSZIkSZJyxWSFJEmSJEnKFZMVkiRJkiQpV6qerIiIN0bE6ojoiojlA7R7ZUQ8FhFrI+LKSvZRkiRJkiRVTtWTFcDDwB8Bt/XXICImAF8AXgWcBrw1Ik6rTPckSZIkSVIlTax2B1JKawAiYqBm5wJrU0rrsrbfBi4BHhnxDkqSJEmSpIrKQ2XFYCwCNpa8rsuWSZIkSZKkMaYilRUR8Uvg2DKr/i6l9KNhfq8rgCsAjjvuuOHctSRJkiRJqoCKJCtSSn9wmLvYBCwueV2bLSv3XtcA1wAsX748Heb7SpIkSZKkChstw0DuAU6OiKURMRl4C7Ciyn2SJEmSJEkjoOrJioj4w4ioA54L/DQibsqWL4yIGwFSSh3AB4CbgDXAd1NKq6vVZ0mSJEmSNHLycDeQG4AbyizfDFxU8vpG4MYKdk2SJEmSJFVB1SsrJEmSJEmSSpmskCRJkiRJuWKyQpIkSZIk5YrJCkmSJEmSlCsmKyRJkiRJUq6YrJAkSZIkSbliskKSJEmSJOWKyQpJkiRJkpQrJiskSZIkSVKumKyQJEmSJEm5MrHaHRhtPvyyU6rdBUmSJEmSxjQrKyRJkiRJUq6YrJAkSZIkSbliskKSJEmSJOWKyQpJkiRJkpQrJiskSZIkSVKumKyQJEmSJEm5YrJCkiRJkiTliskKSZIkSZKUKyYrJEmSJElSrkRKqdp9GDERUQ+sr3Y/epkH7Kh2J8YJj3VleJwrx2NdGePlOB+fUppf7U5IkiSVM6aTFXkUEStTSsur3Y/xwGNdGR7nyvFYV4bHWZIkqfocBiJJkiRJknLFZIUkSZIkScoVkxWVd021OzCOeKwrw+NcOR7ryvA4S5IkVZlzVkiSJEmSpFyxskKSJEmSJOWKyQpJkiRJkpQrJiuGQUR8NSK2R8TDJcvOjIg7IuKhiPhxRMwuWXdGtm51tn5qtvyc7PXaiPhcREQ1Pk9eDeU4R8TbI2JVyaMrIpZl6zzOBzHEYz0pIq7Llq+JiKtKtnllRDyWHesrq/FZ8myIx3lyRHwtW/5ARFxYso3f6QFExOKI+HVEPJL9u/sX2fKjIuLmiHgi+3tktjyy47g2Ih6MiLNL9nVp1v6JiLi0Wp9JkiRprDNZMTyuBV7Za9mXgStTSs8GbgA+AhARE4GvA+9NKT0LuBBoz7b5IvAe4OTs0Xuf4921DPI4p5S+kVJallJaBvwJ8FRKaVW2jcf54K5lkMcaeCMwJVt+DvCnEbEkIiYAXwBeBZwGvDUiTqtE50eRaxn8cX4PQLb8ZcC/R0Tx33C/0wPrAP4qpXQacD7w/uy7eCVwS0rpZOCW7DUUvrPFY3kFheNLRBwFfBw4DzgX+HgxwSFJkqThZbJiGKSUbgMaey0+Bbgte34z8Prs+cuBB1NKD2TbNqSUOiNiATA7pXRnKsx6ej3wuhHv/CgyxONc6q3AtwE8zoMzxGOdgBlZIm4a0AY0UbiYW5tSWpdSaqPw3+CSke77aDLE43wa8Ktsu+3ALmC53+mDSyltSSndlz3fA6wBFlH4Pl6XNbuOA8ftEuD6VHAnMCc7zq8Abk4pNaaUdlL472NiSJIkaQSYrBg5qzlwYfZGYHH2/BQgRcRNEXFfRHw0W74IqCvZvi5bpoH1d5xLvRn4Vvbc43zo+jvW3wP2AluADcBnUkqNFI7rxpLtPdaD099xfgC4OCImRsRSClUsi/E7PSQRsQQ4C7gLOCaltCVbtRU4Jnve33fX77QkSVKFmKwYOe8C3hcR9wKzKPzaDDARuAB4e/b3DyPipdXp4pjQ33EGICLOA/allB4ut7GGpL9jfS7QCSwElgJ/FREnVKeLY0J/x/mrFC6OVwL/BfyewnHXIEXETOD7wIdSSk2l67KqFO/lLUmSlBMTq92BsSql9CiFIR9ExCnAq7NVdcBtKaUd2bobgbMpzGNRW7KLWmBTxTo8Sg1wnIvewoGqCigcU4/zIRjgWL8N+HlKqR3YHhG/A5ZT+AW6tNLFYz0I/R3nlFIH8OFiu4j4PfA4sBO/0wcVEZMoJCq+kVL6QbZ4W0QsSCltyYZ5bM+Wb6L8d3cThXmGSpffOpL9liRJGq+srBghEXF09rcG+Hvgv7NVNwHPjojp2Rj/FwGPZKXITRFxfjaT/zuAH1Wh66PKAMe5uOxNZPNVQGHsOh7nQzLAsd4AvCRbN4PCBIaPAvcAJ0fE0oiYTCFxtKLS/R5t+jvO2b8ZM7LnLwM6Ukr+2zEI2XH5CrAmpfQfJatWAMU7elzKgeO2AnhHdleQ84Hd2XG+CXh5RByZTaz58myZJEmShpmVFcMgIr5F4de2eRFRR2G2+JkR8f6syQ+ArwGklHZGxH9QuJBLwI0ppZ9m7d5H4e4A04CfZQ9lhnKcMy8ENqaU1vXalcf5IIZ4rL8AfC0iVgMBfC2l9GC2nw9QuJibAHw1pbS6cp8i/4Z4nI8GboqILgq/8P9Jya78Tg/s+RSO10MRsSpb9rfAp4HvRsTlwHoKyU2AG4GLgLXAPuCdACmlxoj4Rwr/fgN8MpufRZIkScMsCsN0JUmSJEmS8sFhIJIkSZIkKVdMVkiSJEmSpFwxWSFJkiRJknLFZIUkSZIkScoVkxWSJEmSJClXTFZIkiRJkqRcMVkhSZIkSZJyxWSFpBEVEc+JiAcjYmpEzIiI1RFxerX7JUmSJCm/IqVU7T5IGuMi4p+AqcA0oC6l9C9V7pIkSZKkHDNZIWnERcRk4B6gBXheSqmzyl2SJEmSlGMOA5F0SCLiBRHx2CCbzwVmArMoVFhIkqRxZoixw6gUEW+PiF9Uux/SWGBlhaSDioingXenlH55iNuvAL4NLAUWpJQ+MIzdkyRJOXK4cUOeRcS1wNuANiABjwN/mVL6TTX7JY1FVlZIGlER8Q6gPaX0TeDTwHMi4iWHsb+Jw9Y5SZI05h0sdoiIJVmCZbD+LaU0E5gNfBH4QURMOIwuSirDZIWkQxIRF0ZEXcnrpyPir7M7f+yOiO9ExNSU0vUppddHxGuAe4FnAP8UEWeUbHtlRDwZEXsi4pGI+MOSdZdFxO8i4j8jogG4uoIfU5IkDZPBxg4l618TEasiYldE/D5vsUMqlKh/EzgKOKbkvW8v6ctnI2JjRDRFxL0R8YKSdedGxMps3baI+I+R6Kc0WpmskDSc3gS8ksJwjzOAywAi4izgq8CfUpi/4v8BKyJiSrbdk8ALgCOATwBfj4gFJfs9D1hHIRD41Ih/CkmSVCmjNnbIqineATwFbOun2T3AMgoJjW8C/1uSkPks8NmU0mzgROC7I9FPabQyWSFpOH0upbQ5pdQI/JjCyRngCuD/pZTuSil1ppSuA1qB8wFSSv+bbdeVUvoO8ARwbsl+N6eU/m9KqSOltL9yH0eSJI2w0Rg7/HVE7AKagf8C/qG/O52llL6eUmrI+vHvwBQKVaYA7cBJETEvpdScUrpzmPspjWomKyQNp60lz/dRuAMIwPHAX2VlnLuyE/xiYCEU5rUoKfPcBZwOzCvZ18YR77kkSaqGqsQOEfG2km0fBI4rfa+IOG6AzT+TUpoDTAeWA/8nIl7Vz/v8dUSsyYa57KJQCVLs5+XAKcCjEXFPNmRWUsaJ6iRVwkbgUymlPmWYEXE88CXgpcAdKaXOiFgFREkzb1skSdL4MqKxQzbx9zez/S0Bbk0pLRlKB7M5Kx6OiN8BrwZ+1qufLwA+mvVzdUqpKyJ2FvuZUnoCeGtE1AB/BHwvIuamlPYOpR/SWGVlhaTBmhQRU4sPhpbs/BLw3og4LwpmRMSrI2IWMINCQFEPEBHvpPDriCRJGr16xA2HcDevURE7RMQzgQuA1WVWzwI6KPRzYkR8jMIdRIrb/nFEzE8pdQG7ssVdI9tjafQwWSFpsG4E9pc8rh7shimllcB7gM8DO4G1ZBNopZQeAf4duIPC5FTPBn43fN2WJElVcMhxA+Q+dvhoRDRHxF7gF8DXKEwA2ttNwM+Bx4H1QAs9h6e8ElgdEc0UJtt8i3NzSQdEoXpJkiRJkiQpH6yskCRJkiRJuWKyQpIkSZIk5YrJCkmSJEmSlCtVTVZExJyI+F5EPJrdf/i5EXF1RGzK7pu8KiIuKml/VUSsjYjHIuIV1ey7JEkaG4xHJEnKn6pOsBkR1wG/TSl9OSImA9OBDwHNKaXP9Gp7GvAt4FxgIfBL4JSUUmdley1JksYS4xFJkvJnqPc7HjYRcQTwQg7cgqgNaIuI/ja5BPh2SqkVeCoi1lIIFO7ob4N58+alJUuWDGOvJUkaG+69994dKaX51e5HtRmPSJJUPQPFI1VLVgBLgXrgaxFxJnAv8BfZug9ExDuAlcBfpZR2AouAO0u2r8uW9RARVwBXABx33HGsXLly5D6BJEmjVESsr3YfcsJ4RJKkKhkoHqnmnBUTgbOBL6aUzgL2AlcCXwROBJYBW4B/H8pOU0rXpJSWp5SWz58/7n8wkiRJAzMekSQph6qZrKgD6lJKd2WvvwecnVLallLqTCl1AV+iUFoJsAlYXLJ9bbZMkiTpUBmPSJKUQ1VLVqSUtgIbI+IZ2aKXAo9ExIKSZn8IPJw9XwG8JSKmRMRS4GTg7op1WJIkjTnGI5Ik5VM156wA+CDwjWzm7XXAO4HPRcQyIAFPA38KkFJaHRHfBR4BOoD3O/O2JGmw2tvbqauro6WlpdpdqaipU6dSW1vLpEmTqt2VPDMekSRVhPHI4OORqt66dKQtX748OaGVJAngqaeeYtasWcydO5cB7vQwpqSUaGhoYM+ePSxdurTHuoi4N6W0vEpdG1eMRyRJRcYjg49HqjlnhSRJFdPS0jKuAgOAiGDu3Lnj7tcbSZLyynhk8ExWSJLGjfEUGBSNx88sSVKejcdz86F85mrPWSFJ0pB1dSUS0JUSXSmREoUHia5UKDcs/k2p0K6zK9He2VXYQSpMRFB8kQ48Lf1z4PmB/+m5rtdIygHbAtu3buOqv/lr7rn7bubMmcPkyZP58w//Fa+9+BJ+e9tveNub38Dxxy+hta2VP3r9m/ibv/17EjBr6kQmTSj8vvCRj3yEG2+8kYsuuogTTzyR6dOn8453vINrr72Wl7/85SxcuHDoB1SSJA3ZweKRA8sOxCXl45GS/y0JHgYVj6Se7QZsy8DxyGsuvoTby8QjH/3bvwdgzrRJ1NQUkg6ViEdMVkhShZVeQBdPcMWTW99lZS6+OdC2/22L75GdMLsKyynZd1f3vor77vm+B06+vfqcnRR7v0/p/g7078DrA4mEkm0pnOi7sn32f2x6bnsonje3g8a9bYf93+9QpZR4y5tez5ve+sd8/kvXArBxw3pu+tlPaenooq0zcd5zn8/Xv/sD9u7dyx9ccB4vfcWrOGPZWZTOL3XNNdfQ2NjIhAkTeuz/2muv5fTTTzdZIUkalN6xRe+Y4sB5vf94pEdMUXbbQ49HurKAo3vbYgyQBrltj/fotS3lYozy8Ujx/VM6kJwYq/FI68HikZL9VCIeMVkhacj6/qPe80TVfeLoGiCzTK8L2QFObn1OhPQ8gVB8j5LsNqXb0vMEVdp36P/k1tXV/wV0V3amKt1XuRNj75NbcZ3Gn9t/cyuTJk/m0svf071s8XHH8+4/fV+ftjNmzOCMZWfx1LonOWPZWd3LL774YpqbmznnnHO46qqrWLNmDTNnzmTJkiWsXLmSt7/97UybNo077riDadOmVeRzSVK1DCUe6XkO73sR3DspXxpjDBSPlL2A7zrQn8HGI/1e/HMgHumzbZ9Yqm880jvRX9o345HxaTTFIyYrNC4dyIr294968WK05wV02QxvV99t+8vwll6U987o9j65DfYCfrAnt4P9Al7+5OvJTWPTf9z8OE9s2zOs+zz5mFn85ctO6Xf9Y48+whlnLhvUvhobG7h35d18+KNX9Vi+YsUKZs6cyapVqwC4+uqrAXjDG97A5z//eT7zmc+wfLk3+JBGi96J7P4ugsvFI31iiq5+tu31o8GQqvnKXfyXjTH6/zGi3C/gA8UjfbalV0VeybbSaGc8MjCTFaNUf+Oj+pZClS9hGujkdtCL4EFeQJc7yQ10AT2Yk1t/JeSF/ZX/BbznydeTm6R8uPKvPsTdd/6eSZMmcdOtvwPgrjt+xx9ccD41NTV88EN/zTNPPa3KvZT6d1hD2vq7CB5o2+4YYpAXwQNcQBf3dbAL6D79Gihe6jWk7UD7vv2xyk5SXuQ5HjFZMUT3PN3I7n3t/V5Aly0DP+gFdPmTW8/kgic3SRouA/3iMFKe8czT+MmKH3a//vS//xcNDTt4xYXP715WHCMqHcytj22nvTP1+fW8XDzikDZJyifjkYGZrBiiJ7Y1s63J+9VLkobmghddyD9/8mNc++VruOzdVwCwf9++Ydv/rFmz2LNneEtJlV+rNzfR1tFV7W5IkkaZ0RSP1AzLXiRJ0oAigmu/+V3u+N1vec6zn8krX3wBf/5n7+Hvr/6nYdn/ZZddxnvf+16WLVvG/v37h2WfkiRpbBlN8UikMVzDt3z58rRy5cph3ec379pgZYUkjULPm9vCkpMqX245HI6cPonJEyccvGE/1qxZw6mnntpjWUTcm1JyNs4KGIl45Au/XmtlhSSNQqM5Hpk3cwoTauKQtx9qPGJlhSRJkiRJyhWTFZIkSZIkKVdMVkiSJEmSpFwxWSFJGjfG8jxN/RmPn1mSpDwbj+fmQ/nMJiskSeNCc0fQvHvnuAoQUko0NDQwderUandFkiRhPDIUE0eoP4MSEXOALwOnAwl4F/AY8B1gCfA08KaU0s6ICOCzwEXAPuCylNJ9le+1JGk0WtM0CWhg5o4d1e7KkG2fMoGJNYf2+8LUqVOpra0d5h6NLcYjkqRKGc3xyI6pE6mJQ7sbyKHEI1VNVlA42f88pfSGiJgMTAf+FrglpfTpiLgSuBL4G+BVwMnZ4zzgi9lfSZIOqj3V8ODuKdXuxiF54/Jaao+cXu1ujGXGI5KkihjN8ch7XngCM6dULoVQtWEgEXEE8ELgKwAppbaU0i7gEuC6rNl1wOuy55cA16eCO4E5EbGgop2WJEljivGIJEn5VM05K5YC9cDXIuL+iPhyRMwAjkkpbcnabAWOyZ4vAjaWbF+XLeshIq6IiJURsbK+vn4Euy9JksYA4xFJknKomsmKicDZwBdTSmcBeymUWHZLhVlHhjTzSErpmpTS8pTS8vnz5w9bZyVJ0phkPCJJUg5VM1lRB9SllO7KXn+PQrCwrVhOmf3dnq3fBCwu2b42WyZJknSojEckScqhqiUrUkpbgY0R8Yxs0UuBR4AVwKXZskuBH2XPVwDviILzgd0l5ZmSJElDZjwiSVI+VftuIB8EvpHNvL0OeCeFBMp3I+JyYD3wpqztjRRuE7aWwq3C3ln57kqSpDHIeESSpJyparIipbQKWF5m1UvLtE3A+0e6T5IkaXwxHpEkKX+qOWeFJEmSJElSHyYrJEmSJElSrpiskCRJkiRJuWKyQpIkSZIk5YrJCkmSJEmSlCsmKyRJkiRJUq6YrJAkSZIkSbliskKSJEmSJOWKyQpJkiRJkpQrJiskSZIkSVKumKyQJEmSJEm5YrJCkiRJkiTliskKSZIkSZKUKyYrJEmSJElSrpiskCRJkiRJuWKyQpIkSZIk5UpVkxUR8XREPBQRqyJiZbbs6ojYlC1bFREXlbS/KiLWRsRjEfGK6vVckiSNFcYjkiTlz8RqdwB4cUppR69l/5lS+kzpgog4DXgL8CxgIfDLiDglpdRZoX5KkqSxy3hEkqQcGU3DQC4Bvp1Sak0pPQWsBc6tcp8kSdL4YjwiSVIFVDtZkYBfRMS9EXFFyfIPRMSDEfHViDgyW7YI2FjSpi5bJkmSdDiMRyRJyplqJysuSCmdDbwKeH9EvBD4InAisAzYAvz7UHYYEVdExMqIWFlfXz/c/ZUkSWOP8YgkSTlT1WRFSmlT9nc7cANwbkppW0qpM6XUBXyJA6WVm4DFJZvXZst67/OalNLylNLy+fPnj+wHkCRJo57xiCRJ+VO1ZEVEzIiIWcXnwMuBhyNiQUmzPwQezp6vAN4SEVMiYilwMnB3JfssSZLGFuMRSZLyqZp3AzkGuCEiiv34Zkrp5xHxPxGxjML40aeBPwVIKa2OiO8CjwAdwPudeVuSJB0m4xFJknKoasmKlNI64Mwyy/9kgG0+BXxqJPslSZLGD+MRSZLyqdoTbEqSJEmSJPVgskKSJEmSJOWKyQpJkiRJkpQrJiskSZIkSVKumKyQJEmSJEm5YrJCkiRJkiTliskKSZIkSZKUKyYrJEmSJElSrpiskCRJkiRJuWKyQpIkSZIk5YrJCkmSJEmSlCsmKyRJkiRJUq6YrJAkSZIkSbliskKSJEmSJOWKyQpJkiRJkpQrJiskSZIkSVKumKyQJEmSJEm5UtVkRUQ8HREPRcSqiFiZLTsqIm6OiCeyv0dmyyMiPhcRayPiwYg4u5p9lyRJY4PxiCRJ+ZOHyooXp5SWpZSWZ6+vBG5JKZ0M3JK9BngVcHL2uAL4YsV7KkmSxirjEUmSciQPyYreLgGuy55fB7yuZPn1qeBOYE5ELKhC/yRJ0thnPCJJUhVVO1mRgF9ExL0RcUW27JiU0pbs+VbgmOz5ImBjybZ12bIeIuKKiFgZESvr6+tHqt+SJGnsMB6RJClnJlb5/S9IKW2KiKOBmyPi0dKVKaUUEWkoO0wpXQNcA7B8+fIhbStJksYl4xFJknKmqpUVKaVN2d/twA3AucC2Yjll9nd71nwTsLhk89psmSRJ0iEzHpEkKX+qlqyIiBkRMav4HHg58DCwArg0a3Yp8KPs+QrgHdks3OcDu0vKMyVJkobMeESSpHyq5jCQY4AbIqLYj2+mlH4eEfcA342Iy4H1wJuy9jcCFwFrgX3AOyvfZUmSNMYYj0iSlENVS1aklNYBZ5ZZ3gC8tMzyBLy/Al2TJEnjhPGIJEn5VO27gUiSJEmSJPVgskKSJEmSJOWKyQpJkiRJkpQrJiskSZIkSVKumKyQJEmSJEm5YrJCkiRJkiTliskKSZIkSZKUKyYrJEmSJElSrpiskCRJkiRJuWKyQpIkSZIk5YrJCkmSJEmSlCsmKyRJkiRJUq6YrJAkSZIkSbliskKSJEmSJOWKyQpJkiRJkpQrJiskSZIkSVKuVD1ZERETIuL+iPhJ9vraiHgqIlZlj2XZ8oiIz0XE2oh4MCLOrmrHJUnSmGE8IklSvkysdgeAvwDWALNLln0kpfS9Xu1eBZycPc4Dvpj9lSRJOlzGI5Ik5UhVKysiohZ4NfDlQTS/BLg+FdwJzImIBSPaQUmSNOYZj0iSlD/Vrqz4L+CjwKxeyz8VER8DbgGuTCm1AouAjSVt6rJlW0o3jIgrgCsAjjvuuJHptSRpXEkp0ZVK/pJICbpSz7+JMstSoqvXPrrXU9qu1/twoO2kicEHXnxydQ/C2PZfGI9IknIsZXHDQPFCV68Yo3ys0iumKa6nd/zSN4a58aEtvGn54op95qolKyLiNcD2lNK9EXFhyaqrgK3AZOAa4G+ATw52vymla7LtWL58eRqu/krSaJXKnLAOegHdVWYbEl1dPU9y/V10d/U68fV3Qix/Yi1zEqVcEuBAX0o/16H0qTQBUa5ttd3y6HaTFSPEeESSKmOwMcBhXXRTPl7oIpG6esYAxTalF/tDiRcG+4PFgH3qHZv1+ly921bbuvrm8ZGsAJ4PXBwRFwFTgdkR8fWU0h9n61sj4mvAX2evNwGlR6Y2WyZpjBso41vuhNJ98unvAvQQLorLnlB67WOgE2K5k89gT8RDOSGW7VM1/+MNUgAREBHUFP9S+BsBNaV/s7Y1vdYFB17X1ETJ8jJtS/ZffL8IqKF3u5K2Nf30iQNt+/az5PMU36dsfwr9r+nVx+L+L162gJQSEVG1/0ZjmPGIpEE55HihvwvQXvs5lIvig/3CfrAYZijxSLkYpt94pNxnruJ/u8HqHWP0Gy/0Op/3jke6z/0l8cjBYpg+8UI/McZQYpjuftb0jUv6i0f6frYD21z2vCUV/e9RtWRFSukqCr9akP2S8dcppT+OiAUppS1RiMheBzycbbIC+EBEfJvCRFa7U0pb+uxYyqGROPmUO6Eccon6ACfR0uz3Qfs0yEx56Yn+YCfErtFwZoM+J5QBT26DuMCdMEwntz4X3T3eu6RtzRAvunvt/2CJgeLy0j5Gr76of3NnTvEYjRDjEY0nIzakrVcMUK0S9R5tu/qJS4ZSXVcSw4zGeKRcQnxIF7gRTKyJHjFMaQwwqHhhoIviPu99oE994oX+LqAJamqGHpeU+/Gh2H/178gZkyv6foeVrIiI/0kp/UlE/EVK6bPD1KdvRMR8Ct+XVcB7s+U3AhcBa4F9wDuH6f10ENUcH1W2tHsQF8VDLSEfTJ8GypT3advrPUeDAU9uNT1Pcge96KZKJ7deJ5/y/Ty8i+5yCQhPblJ1GY+MD73P5z3iha4DMUCP83CZIW2DLSE/2AVuv/FCn/0M4tf4QW4zlIvucjHMaDDYKrRBXXQTxIR+YgCqEC/0E8McTkVh72MhjSWHW1lxTkQsBN4VEddT+P9rt5RS42B2klK6Fbg1e/6Sftok4P2H09nDtbFxH0/t2Evj3tbyJ7euwZ1QisurNj5qgBNi2T5V8ZgPxWBLmg52UdzdtgZqqBnUiWTAk89QT269Tj79bePJTZK6jat45Ilte9jYuI+2jq7hG9LWVSYG6G9IWzq0HyyGEsOM1iFtAIO9wO2udis5r/eODWpqis9r+sYA0Gd4Wvd2vSv9hjFeKI1HylXvDenHjTKxmSQVHW6y4r8pzJB9AnAvPYODlC0fM677/dN8+fanRmTfxZPEQf+hL3NCKXdCPNzx2oNq2+ukerCTz8G2GVKm3JObJOmAcRWP/OvPH+WXa7aPyL77xCOHeYE7YTDxyBAvcPvt0zBV7xX7Uq56r9+4xyFtkjTsDitZkVL6HPC5iPhiSunPhqlPufW2846jK8Hu/W2HPF67z0W3JzdJkg7LeItHPvyyUzhqxmQ6u9LA8UhN74vrg1QJYjwiScqPYZlgczwEBgAnzJ/JSUfPZFtTS7W7IkmSehkv8cizFh7B8XNn0NbRVe2uSJI0Ymqq3QFJkiRJkqRSJiskSZIkSVKumKyQJEmSJEm5YrJCkiRJkiTliskKSZIkSZKUKyYrJEmSJElSrpiskCRJkiRJuWKyQpIkSZIk5YrJCkmSJEmSlCsmKyRJkiRJUq6YrJAkSZIkSbliskKSJEmSJOWKyQpJkiRJkpQrVU9WRMSEiLg/In6SvV4aEXdFxNqI+E5ETM6WT8ler83WL6lqxyVJ0phhPCJJUr5UPVkB/AWwpuT1vwL/mVI6CdgJXJ4tvxzYmS3/z6ydJEnScDAekSQpR6qarIiIWuDVwJez1wG8BPhe1uQ64HXZ80uy12TrX5q1lyRJOmTGI5Ik5U+1Kyv+C/go0JW9ngvsSil1ZK/rgEXZ80XARoBs/e6sfQ8RcUVErIyIlfX19SPYdUmSNEb8F8YjkiTlStWSFRHxGmB7Sune4dxvSumalNLylNLy+fPnD+euJUnSGGM8IklSPk2s4ns/H7g4Ii4CpgKzgc8CcyJiYvZrRS2wKWu/CVgM1EXEROAIoKHy3ZYkSWOI8YgkSTlUtcqKlNJVKaXalNIS4C3Ar1JKbwd+Dbwha3Yp8KPs+YrsNdn6X6WUUgW7LEmSxhjjEUmS8qnac1aU8zfAX0bEWgpjQL+SLf8KMDdb/pfAlVXqnyRJGvuMRyRJqqJqDgPpllK6Fbg1e74OOLdMmxbgjRXtmCRJGjeMRyRJyo88VlZIkiRJkqRxzGSFJEmSJEnKFZMVkiRJkiQpV0xWSJIkSZKkXDFZIUmSJEnSOJcS1K2dQt3aKfS+KXdK8OAD9Fk+kkxWSJIkSZI0zm1eN4Wv/MNCvvKxhWxeN6V7eUqw6jczeftbJvDAA5XrTy5uXSpJkiRJkkZGSrDpyUICYtGJrUT0Xb7whFYu/8fNACxY2sqmJ6ew8IRWNq+bwk+/Mo9//0wnZ55ZuRSClRWSJEmSJOVMMZEw0NCLYpuurvJti+s3PXmgaqL4OqWe1RRbnppC7Umt1J7UypanpvC1qxew6jczWbC0lXdevYXXv4HuJEclmKyQJEmSJKmCDpZkgEIi4dpPLOiRXOi9j1W/mcnXPrGAB26bybWfWFB2+MbXPrEAgMv/cTOXf7JQOVGaiCguX3hCa/e2C09o5dWX7+CnX53Hlqem9KjGqBSHgUiSJEmSNEyKFQsLlhYqFBae0PNCv5hE+OlX5/Hqd+3gxq/O47KPb2HRia09tk0JLv3YFqCQXHj15TtY9qJmoNAmJfjpV+bx6st3cOYLmzl6cTsLlrZSt/ZAwqK4vvfQj2Ii4ujF7dSedCBJURQBy15U2GdpEqOSrKyQJEmSJGkQDjY0o3e1Q7GCIaWeQzJ++pVCouLMFzZz6ce2dK8vVlM8cNtMrvvkAiIKc0wUkwubnpzSo1rinVdvYdmLmqmpKbTb8tSBYR2l60uTJcVExDs/vmXARETxvStdUVFkZYUkSZIkadwbSkXEZR/bQgTdbYrb9q52APjpV+cxv7ad+rpJ3du+8+ot3dtGwLWfWNBdRXHpxwrrilUNpVUOpfsvl0gonSRzoERDMRGRZ1ZWSJIkSZLGtMFMRNnf/A/lKiKAHlUTxYoI6FntUKxgALq3XXRia49EwsITWrksa1OspihWShTbFJMLi05sLVstURRB9ySZ1aqIGC5WVkiSJEmSRq3hmCOid0XE/Nr2PkMzLi2piIAD8z7Mr20HChURvasZikmGlOhRTVGqtM1lgxyaMR5YWSFJkiRJGlaDudvFcLQZakVE6RwRXV30O/9DRKHKofiexUREMRlROu8DHKiIONiwi4GqHao9R0TemKyQJEmSJA3aUG67We6WmsV9DHTbzYO1GY5ExAO3zRzS0Iz+KiIWndh60IoIDV3VhoFExFTgNmBK1o/vpZQ+HhHXAi8CdmdNL0sprYqIAD4LXATsy5bfV/meS5KkscJ4RJJ6Gu7bbpZOFFm6/4GGXcDAbbq6KCQaBpis8qJ37eh3IspiImLB0p6TWJZyaEb1VbOyohV4SUrpTGAZ8MqIOD9b95GU0rLssSpb9irg5OxxBfDFCvdXkiSNPcYjksaNlKBu7RTq1vY/5OJQKxn6u+1mTU0hObB53ZRBD7sYjoqIM1/Y3O9ElMXkQu9JLMtxaEb1VK2yIqWUgObs5aTs0c/dagG4BLg+2+7OiJgTEQtSSltGuKuSJGmMMh6RNFoUkwHlqgCK6zc9WUgs9L64Lq1m+Mo/LISAyz+5ufvWm3D4lQz93XazuO/BVjsMdGvOoVREFI+DRq+qzlkRERMiYhWwHbg5pXRXtupTEfFgRPxnRBQHLi0CNpZsXpct673PKyJiZUSsrK+vH8nuS5KkMcB4RFI1HazaodimWG1Qbl6HYsXDV/5hIV/52MLu18WKh9JKhcv/cTOXf3IzUEgyDFclA/R/282hVDsMdGvOoVREaPSr6q1LU0qdwLKImAPcEBGnA1cBW4HJwDXA3wCfHMI+r8m2Y/ny5QP9MiJJkmQ8IumQHazaYaA25aod3v2Pm3tUA5Sb32HB0lY2PTmlu2qhOH/EZR/bwuX/uLl7269dvYBXX76D+bXtZSsVinMxDFclw0BzOwyl2sH5H1SUi7uBpJR2Ab8GXplS2pIKWoGvAedmzTYBi0s2q82WSZIkHTbjEUmlihUL/VU7QCGR8LWrF7DqNzN7tCutltj05JQ+d7ror9qhmIgoVxFRrDbY8tSB9yydP2LRia3UnlR4LDqxlVdfvoOffnVej21LEw3DXcng3A4ablVLVkTE/OwXDCJiGvAy4NGIWJAtC+B1wMPZJiuAd0TB+cBux4dKkqTDYTwijT8HS0KUDqsol4gobbNg6YGkQGkyYvO6A0MygO7qhOL7bl5XPskwUCKimAhYeMLgEhHLXtTMO7O7dAyURDDJoLyq5jCQBcB1ETGBQtLkuymln0TEryJiPhDAKuC9WfsbKdwmbC2FW4W9s/JdliRJY4zxiDRGDDTBZGmb0mETxYv/iJ5DLq77ZGHCyGJS4OjF7d1DE0r38c6PFxIFRy9uZ8HSVurWFt5/4Qmt3UMyin0pJj+Kk1eWTlJZVJqI6D2RZVExEdHfsIzSdg6n0GhWzbuBPAicVWb5S/ppn4D3j3S/JEnS+GE8IuXD4dzpoqhYzdD7The9ExHF+RmgMMFkcZ6F0iRGcdmiE1v7JCLgwD6K+190Ymv3BJfFuSdqT+qZKChNRJQmP0qZiJAOqOoEm5IkSZLGtsEkIgZT7XCwRMSCpa1lJ5g884XNZW+7CYXbbBYTIf1NMtk7EXH5Jzf3WxVRfP/+JpksTUT0x0SEVJCLCTYlSZIkjT6Dmf+hOElk6e00S7ctnZsB6DEZ5eZ1hckpoe8tN4tJjOL+tzw1pewEk/3ddrP4uO6TPSewLJdQKSYiLv/k5n7ngIig+/2dH0I6fFZWSJIkSWPMQNUMpZUIW546vDaDqYgYzLCLctUOXV2F/Vz6sS19brlZriKitFqhtIphoNtuFm/NOdCQi+L+eg/rkDSyrKyQJEmSxojSaoXet8ssri9WIjxw28xDanOwioj+brm56MTWvkmGAaodHrhtJtd9ckH3sqLBVkQM5rabVjpI+WVlhSRJkjSCDjZnw2DbHqzaoXelQzExUBx20bvS4cwXNjO/tn3Qbbq6YMtTPe+WMdT5HyIKSY1L+7nTBRyodiitiOhtsBURkkYvKyskSZKkQ1S8OO/q6n/uhuK8C73nbCjdR93aKdStHXxFxNeuXsCq38zsTjT0rnQoJgmu+2ThfctVOtTUMKQ2xSoLgMs+vuWQ5n8oJhn6m/cBrIiQVGBlhSRJksadwVQ7DKWS4dXv2sGNX53XfSFe2qY4xwIcuEPFshc1A+XvdDGYigiAn351HvNr26mvm9Rn7ofi/BGXfXxLj217X+APpc1Acz+UtvOWm5KGg5UVkiRJqoiD3TliuN+nv2qHge5QUa5N73kbylUynPnC5h5JhtI2xXkXSu9Q0buSofROE4Opdlj2ombe+fFCAqTc3A9wIDGw6MTWg87rMJg2A1U6lLaz2kHScDBZIUmSpAENJskwmDbF4RC9hzgMdl+lwyUGk4gYzHAJ4KBtShMRXV3lJ48caEhFabVBf0mG0lteFisUercZaiKiaDBJBBMNkvLGYSCSJElj1FCGOgw0oWNKhUkRi8MXeg+FGKhN8eIfChfhpdUHpW1K+7B53ZSDDpe4+Ir67mELvduUGy5x9OJ2oO/kjkB3tcNAQyqKE0Ne9K4dhzWkopgUSIl+J5gcTJvebSVprDFZIUmSNAodTpKhNIEA/bcpvbNE8YL+6MXt3RfH/bWZX9veoz/FBMO7/3Fzj7tBlLrukwu653tYeEJrvwmEy/9xM0B3ouFgSYZlL2rm6MXtLFjayuZ1U7j0Y1v6JBCKbQ533obhTjKYiJA0npmskCRJGkUKQyEm09aRum8fWRw6EDFwkmHhCa1lJ3Tsr03phfuiE1u7L/rr1h5IdJRr03v/vRMMxeqD0jbFoRJAjyTDQAmEwbQpXvAX54647ONbDinJUJo4MMkgSSMv0kjPcFRFy5cvTytXrhzWfX7zrg1sa2oZ1n1KkjSQNy6vpfbI6cO6z4i4N6W0fFh3qrKGOx5ZtQr+4KJ2Lv2Hzd3JidKkRe9qCjhwR4sHbjuQxCgqXlSXa1OaBCna9OQUvvz3B5IM5dqUVm70Nw/CYNoU2x3OUJahtJEk9e89LzyBmVOGt95hoHjEygpJkqRR5Mwz4T2f2ML84w9UUhQrFXrPx1C8KC9WFvRXfTDYNlBITBQrJfprEwG1Jx28+uBgbYrthqOSwWoHSRpdTFZIkiSNIoWL/DbaOg68Lg5hKL3rRG8LT2g96DwKg2kz2CSDJEmHw2SFJEnSGHCwygGrDyRJo0lNtTsgSZIkSZJUqmrJioiYGhF3R8QDEbE6Ij6RLV8aEXdFxNqI+E5ETM6WT8ler83WL6lW3yVJ0thgPCJJUj5Vs7KiFXhJSulMYBnwyog4H/hX4D9TSicBO4HLs/aXAzuz5f+ZtZMkSTocxiOSJOVQ1ZIVqaA5ezkpeyTgJcD3suXXAa/Lnl+SvSZb/9IIbzwlSZIOnfGIJEn5VNU5KyJiQkSsArYDNwNPArtSStn81tQBi7Lni4CNANn63cDcMvu8IiJWRsTK+vr6Ef4EkiRptDMekSQpf6qarEgpdaaUlgG1wLnAM4dhn9eklJanlJbPnz//cHcnSZLGOOMRSZLyJxd3A0kp7QJ+DTwXmBMRxVuq1gKbsuebgMUA2fojgIbK9lSSJI1VxiOSJOVHNe8GMj8i5mTPpwEvA9ZQCBLekDW7FPhR9nxF9pps/a9SSqliHZYkSWOO8YgkSfk08eBNRswC4LqImEAhafLdlNJPIuIR4NsR8U/A/cBXsvZfAf4nItYCjcBbqtFpSZI0phiPSJKUQ1VLVqSUHgTOKrN8HYXxor2XtwBvrEDXJEnSOGE8IklSPuVizgpJkiRJkqQikxWSJEmSJClXTFZIkiRJkqRcMVkhSZIkSZJyxWSFJEmSJEnKFZMVkiRJkiQpV0xWSJIkSZKkXDFZIUmSJEmScsVkhSRJkiRJyhWTFZIkSZIkKVdMVkiSJEmSpFwxWSFJkiRJknLFZIUkSZIkScqVidXugCRJlRYBQVATUFMTANRE4XVxXURhWfFvTRQ2rCnZNgIiotAOqKkptC3ur8e23dv0s233e/TsWwBHTJtUleMkSZJGTnesQfl4pDSm6BlDRM9tC8FLv9sOFI/02ZYD8Uhp32oCJk+obK2DyQpJGoUiep64oO8JKrpPYOVPbsUTUkTPC+ie2xbbQ/HkVnrS67EtZU6gA2wLfU+g5S7go0e/Dpw4y36WmtL1Jdv3ev/iMZMkSYeu9FwfA5xzC+fpA0n4g8Uj5WKMHu+TvXdNTZlYZoB4pMe2JTFGcGBf/SUDysYjvd5vUNt2991Y5GBMVkiqinInt77/qJc/ufV30hn0BTT0OLkd9CJ4gJPboC6gD3JyK+3zgNv2OjaSJOnw9DnXD5TQJ4tHesQEfeOEIccj5WIMel78DukCusy23T8S1Ax8AT2YeKR3JYA0UqqWrIiIxcD1wDFAAq5JKX02Iq4G3gPUZ03/NqV0Y7bNVcDlQCfw5ymlmyrecYmeJeSDObn1f8LqPzs80EXwgCe30ovgMtnrcieogU6M5U5upaVhpb9i97ttn757cpOUD8YjGs16xgl9E/plz8Nl4pHSMvBijNHfObzvBfRBKuLo/YNDuV/L+/4C3m9FXs1BLv67P8tgqvmMR6Q8q2ZlRQfwVyml+yJiFnBvRNycrfvPlNJnShtHxGnAW4BnAQuBX0bEKSmlzor2eowod+HY38mt9KTCEE9u5U46hzI+quy2xffocYE/wAV8n0RBmQv4Gga8+C89yUqSxgTjkSrqLx7pb0hb8aKXknig5wVyf2O9h16R1yMp32vbgeKRg13AR6++l72AP0g8YpWdpPGgasmKlNIWYEv2fE9ErAEWDbDJJcC3U0qtwFMRsRY4F7hjxDtb4oT5Mzh61pRBl3cdtDSsz/iog2Sne29b5uRW9sToyU2SpD5Gazxy2oLZdHalqg1pO1hCf6Btu9/fKjtJ0gByMWdFRCwBzgLuAp4PfCAi3gGspPBrx04KgcOdJZvVUSaYiIgrgCsAjjvuuGHv6/knzB32fUqSpOobTfHIi5959LDvU5KkPKnsvUfKiIiZwPeBD6WUmoAvAicCyyj80vHvQ9lfSumalNLylNLy+fPnD3d3JUnSGGQ8IklSvlQ1WRERkygEBt9IKf0AIKW0LaXUmVLqAr5EobQSYBOwuGTz2myZJEnSITMekSQpf6qWrIjCpAlfAdaklP6jZPmCkmZ/CDycPV8BvCUipkTEUuBk4O5K9VeSJI09xiOSJOVTNeeseD7wJ8BDEbEqW/a3wFsjYhmF24c9DfwpQEppdUR8F3iEwszd73fmbUmSdJiMRyRJyqFq3g3kdgp3ZertxgG2+RTwqRHrlCRJGleMRyRJyqeqT7ApSZIkSZJUymSFJEmSJEnKFZMVkiRJkiQpVyKlVO0+jJiIqAfWV7sfvcwDdlS7E+OEx7oyPM6V47GujPFynI9PKc2vdifGA+ORcc9jXRke58rwOFfOeDnW/cYjYzpZkUcRsTKltLza/RgPPNaV4XGuHI91ZXicNR74Pa8cj3VleJwrw+NcOR5rh4FIkiRJkqScMVkhSZIkSZJyxWRF5V1T7Q6MIx7ryvA4V47HujI8zhoP/J5Xjse6MjzOleFxrpxxf6yds0KSJEmSJOWKlRWSJEmSJClXTFZIkiRJkqRcMVkxDCLiqxGxPSIeLll2ZkTcEREPRcSPI2J2ybozsnWrs/VTs+XnZK/XRsTnIiKq8XnyaijHOSLeHhGrSh5dEbEsW+dxPoghHutJEXFdtnxNRFxVss0rI+Kx7FhfWY3PkmdDPM6TI+Jr2fIHIuLCkm38Tg8gIhZHxK8j4pHs392/yJYfFRE3R8QT2d8js+WRHce1EfFgRJxdsq9Ls/ZPRMSl1fpMUjnGI5VhPFI5xiOVYTxSGcYjhyCl5OMwH8ALgbOBh0uW3QO8KHv+LuAfs+cTgQeBM7PXc4EJ2fO7gfOBAH4GvKrany1Pj6Ec517bPRt4suS1x3kYjzXwNuDb2fPpwNPAEmAC8CRwAjAZeAA4rdqfLU+PIR7n9wNfy54fDdwL1GSv/U4PfJwXAGdnz2cBjwOnAf8GXJktvxL41+z5RdlxjOy43pUtPwpYl/09Mnt+ZLU/nw8fxYfxSP6Oc6/tjEdG8Fgbj1TsOBuPHPpxNh4Z4sPKimGQUroNaOy1+BTgtuz5zcDrs+cvBx5MKT2QbduQUuqMiAXA7JTSnanwLbweeN2Id34UGeJxLvVW4NsAHufBGeKxTsCMiJgITAPagCbgXGBtSmldSqmNwn+DS0a676PJEI/zacCvsu22A7uA5X6nDy6ltCWldF/2fA+wBlhE4ft4XdbsOg4ct0uA61PBncCc7Di/Arg5pdSYUtpJ4b/PKyv3SaSBGY9UhvFI5RiPVIbxSGUYjwydyYqRs5oD/xC+EVicPT8FSBFxU0TcFxEfzZYvAupKtq/Llmlg/R3nUm8GvpU99zgfuv6O9feAvcAWYAPwmZRSI4XjurFke4/14PR3nB8ALo6IiRGxFDgnW+d3eggiYglwFnAXcExKaUu2aitwTPa8v++u32mNRsYjlWE8UjnGI5VhPDKCjEcGx2TFyHkX8L6IuJdCmU9btnwicAHw9uzvH0bES6vTxTGhv+MMQEScB+xLKT1cbmMNSX/H+lygE1gILAX+KiJOqE4Xx4T+jvNXKZyMVgL/BfyewnHXIEXETOD7wIdSSk2l67JfgbyXt8Yi45HKMB6pHOORyjAeGSHGI4M3sdodGKtSSo9SKLEkIk4BXp2tqgNuSyntyNbdSGGM2NeB2pJd1AKbKtbhUWqA41z0Fg78igGFY+pxPgQDHOu3AT9PKbUD2yPid8ByChnf0l+WPNaD0N9xTil1AB8utouI31MY67gTv9MHFRGTKAQG30gp/SBbvC0iFqSUtmRllduz5Zso/93dBFzYa/mtI9lv6XAZj1SG8UjlGI9UhvHIyDAeGRorK0ZIRByd/a0B/h7472zVTcCzI2J6NqbuRcAjWelPU0Scn82c+w7gR1Xo+qgywHEuLnsT2fhQKIwVw+N8SAY41huAl2TrZlCYAOhRChMznRwRSyNiMoVAbUWl+z3a9Hecs38zZmTPXwZ0pJT8t2MQsuPyFWBNSuk/SlatAIozaF/KgeO2AnhHNgv3+cDu7DjfBLw8Io7MZup+ebZMyi3jkcowHqkc45HKMB4ZfsYjh6DSM3qOxQeFTPkWoJ3CLxWXA39BIcv4OPBpIEra/zGFcWAPA/9Wsnx5tuxJ4POl2/g4pON8IXBnmf14nIfxWAMzgf/NvtOPAB8p2c9FWfsngb+r9ufK22OIx3kJ8BiFyZh+CRxfsh+/0wMf5wsolFQ+CKzKHhdRuPvBLcAT2TE9KmsfwBey4/kQsLxkX+8C1maPd1b7s/nwUfowHsntcTYeqcCxNh6p2HE2Hjn042w8MsRH8UsnSZIkSZKUCw4DkSRJkiRJuWKyQpIkSZIk5YrJCkmSJEmSlCsmKyRJkiRJUq6YrJAkSZIkSbliskKSJEmSJOWKyQpJkiRJkpQrJiskjaiIeE5EPBgRUyNiRkSsjojTq90vSZI0fhiPSKNPpJSq3QdJY1xE/BMwFZgG1KWU/qXKXZIkSeOM8Yg0upiskDTiImIycA/QAjwvpdRZ5S5JkqRxxnhEGl0cBiKpEuYCM4FZFH7RkCRJqjTjEWkUMVkhqYeI+FlEXHqI2z4dEX+QPf/biPhytur/Af8AfAP41+HpqSRJo1dE/EtEfGgE9ntcRDRHxIRD2PbCiKgreb06Ii4czv5VUkTcHRHPKlk04vHIaD9mg5F9v06odj809pmskMaALEmwPzt5bIuIayNi5qHsK6X0qpTSdYfbp5TSP6eU3h0R7wDaU0rfBD4NPCciXnK4+weIiFsjoiX73Dsi4gcRsaBk/dUR0Z6tb46INRHx+pL1F0ZEV8n65oj48XD0TZKk/kTEfOAdFC6ee5+P9kTEYxHxzkPZd0ppQ0pp5nAMcUgpPSuldOvh7qc/EbEkIlLJOfjpiLiyV5vSGGdnRPw0IhaXrL82Itp6ncvfnK3+DPDJrN2wxSNZfPH1cutG+piNtDKx0aaI+ERpm+z7ta5afdT4YbJCGjtem1KaCZwNLAf+figbR8Gw/5uQUro+pfT67HlnSum8lNKvhvEtPpB97pMolHZ+ptf672Qn1ZnAh4CvR8QxJes3F9dnj9cOY98kSSrnMuDGlNL+kmWbs3PVbOBvgC9FxGlD2WlETBy+LlbUnOyzvwH4h4h4Wa/1xRhnAbAN+L+91v9br3P5d7LlK4AXR8Sxg4lHImJUTuY3mP/u2Q88Fw5yl5tLYqcLgMsj4nWH3kPp0JiskMaYlNIm4GfA6QARcX5E/D4idkXEA6UnquzE9amI+B2wDzghW/bubH1NRPx9RKyPiO0RcX1EHFGy/Z9k6xoi4u9K+9H7V4eIuKCkHxsj4rLefY+IoyKiLiJem72eGRFrs19DDva5dwE/BJYN0OYmYA9w4sH2J0nSCHoV8JtyK1LBD4GdwGnZufjKiHgyO99+NyKOgh6VCZdHxAbgVyXLJmZtFkbEiohozM6p7ym+V0RMyyoTdkbEI8BzSvsSPYd3TojCEM8ns+qPe0srHEq2eXNEPBURs7PXr4qIrVk1yYBSSiuB1fRzLk8ptQDfAwaVxMna3wu8YjDth0OvY3Z19t/r+uyYrY6I5SVtF0bE9yOiPjtmf16y7tyIuCOLm7ZExOejMEFocX2KiPdHxBPAEyP1eVJKTwG/p+SYZ+99Uvb81RFxf0Q0ZfHd1SXtpkbE17Pv7a6IuKfXD0bSgExWSGNMFjhcBNwfEYuAnwL/BBwF/DXw/V4Bw58AV1CYbGp9r91dlj1eDJxAoXLh89n7nAZ8Mdt+IYVJq2r76dPxFBIo/xeYTyEIWdW7XUqpEXgXhV+Tjgb+E1iVUrp+EJ97LvBHwNp+1kdEvBqYDDxysP1JkjSCng08Vm5Flpz4Q2AO8BDwQeB1wIsonG93Al/otdmLgFMpf1H+baAu2/YNwD/HgeEPH6eQwD8x23agOav+EngrhRhjNoXz9b7ejbKqht8Dn8vOzV8B3p1Sqh9g30DhBxYKP7b0dy6fDrwZuPNg+yqxBjhzCO2H28UU/hvMoVDpUYyjaoAfAw8Ai4CXAh+KiOJ/w07gw8A84LnZ+vf12vfrgPMYZPLmUETEycDz6f+Y76UwpGkO8Grgz+JAFcalwBHAYgpx4nuB/X13IZVnskIaO34YEbuA2yn8WvPPwB9TKDO9MaXUlVK6GVhJIdAoujaltDql1JFSau+1z7cD/5FSWpdSagauAt6S/VrzBuAnKaXbUkqtFCas6uqnb28DfplS+lZKqT2l1JBSWlWuYUrpF8D/Ardk/fzTg3zuz0XEbmAHhRP6B3utf1N2XJopBAn/nFVhFC3Msv3Fx5sO8n6SJB2uORQq/UotzM5XOygkEf4kpfQYhQu8v0sp1WXn26uBN0TP0v+rU0p7ew0rKf6A8Xzgb1JKLdm598sULi4B3gR8KqXUmFLaCHxugD6/G/j7lNJjWfXHAymlhn7avh94CXAr8OOU0k8G2C/AjojYD9wB/H8UKiVLFWOc3cDLgP/Ta/1fl5zHd/Rat4fC8a6W27M4rBP4Hw4kTp4DzE8pfTKl1JbNAfEl4C0AKaV7U0p3ZvHZ0xTmN3lRr33/S/bfbrgTAMXYqAl4HLiLQnzZR0rp1pTSQ1mc+SDwrZJ+tlNIUpyUDb25N6XUNMx91RhmskIaO16XUpqTUjo+pfS+7MR1PPDG0otxCmMPF5Rst3GAfS6kZ7XFemAicEy2rnvblNJeoL+gZTHw5BA+yzUUflm5doBAqOjPU0pHAGcAR9K3uuO72XGZQeGXo3dERGkCZHO2vvj47hD6KUnSodhJoaKxVPF8dFRKaVlK6dvZ8uOBG0rO42so/OpeWk7f37l8IdCYUipNjKyn8Et+cf3GXuv6M+hzefajwP9SOJf/+yA2mUehevOvgAuBSb3Wvy6lNIfC7UY/APwmIo4tWf+ZkvP4vF7bzgJ2lXvTKAxRLY2R6PUDxgWD6PvBbC15vg+YmiWajqfXDybA35L9d42IUyLiJ9kQmiYKP0L1/mwDxXCUif9+UrLsygE2LX4XZ1NI9OwHyk6+HhHnRcSvs6Esuykk14r9/B/gJuDbEbE5Iv4tInr/t5X6ZbJCGts2Av/T62J8Rkrp0yVtBppMajOFk2nRcUAHhcmttlAIXIDu0sy5A/RjUPNEROFWa9cA1wPvK46JPJiU0kMUhrt8ISKinzZPUxiO4iSakqRqehA4ZZBtNwKv6nUun5rNUVXU37l8M3BURJQmRo4Ditv2OJdn6wbqx2DP5csoDBP5FgNXa3TLfnn/D6CFvsMdStv8gEKyZrCJhFMpDLUot7/bS49rtqz0OJetJhgmG4Gner3frJRSsfr1i8CjwMlZ0uBvgd7xzYATgvb6bLcDrylZ9umBti3Zx27gm/QfO32TQuXq4uzHo/8u9jOrpv1ESuk04HnAazhQ1SMdlMkKaWz7OvDaiHhFFCbGmhqFW1KVnVuijG8BH46IpVG4Feo/U7i7RgeFCa5ek/0qMZnCrcH6+zflG8AfRMSbImJiRMzNAply/pbCyfddFMo8r4/B3yv+Ogq/SFxcbmX2uV9JYfIuSZKq5Ub6lvT357+BT2XzPxER8yPiksFsmA3t+D3wL1kMcAZwOYX4AOC7wFURcWR2juw9lLLUl4F/jIiTs3mgzsjmpOghIqZm+/9b4J3Aoogom3zox6eBj2b76b3vyD77kRQqTAaU7eMc4OYhvP9g1WTHtPiYMsTt7wb2RMTfRGGi0wkRcXpEFCc5nQU0Ac0R8Uzgz4az84OVxX9vof/YaRaF6p2WiDiXwtDf4rYvjohnZ3FcE4VhIf0NGZb6MFkhjWFZkHIJhYChnkIW/yMM/v/7X6VQwncb8BSFXzs+mO17NYUxqd+k8MvMTgoTeJXrxwYK80/8FdBIYXLNPpNdRcQ5FCbwekc2tvNfKSQuBipVLH2fNuCzFObPKHpzZPcKB+4Bfgd8otz2kiRVyPXARRExbRBtP0vhl+tfRMQeChMdnjeE93orsIRClcUNwMdTSr/M1n2CwtCPp4BfUDjn9+c/KCQ3fkHhwvMrQLn+/wuwMaX0xWyOjT8G/imbqHEwfkohpnhPybIfZ+fxJuBTwKVZHHIwrwVuTSltHuR7D8VbKQyPKD6GMtyVLM55DYVJx5+iMFfJlylMSAmFSdHfRmHOjS8B3+m7lxGzsCR2Wk9hkva399P2fcAns+/mxyh8R4qOpfDjVhOF5NJvGPg7JvUQKY3K2wlLkiRJo1ZE/DOwPaX0X9Xuy1gVEXcBl6eUHq52XyQNnckKSZIkSZKUKw4DkSRJkiRJuWKyQpIkSZIk5YrJCkmSJEmSlCsTq92BkTRv3ry0ZMmSandDkqTcuffee3eklOZXux/jgfGIJEnlDRSPjOlkxZIlS1i5cmW1uyFJUu5ExPpq92G8MB6RJKm8geIRh4FIkiRJkqRcMVkhSZIkSZJyxWSFJEmSJEnKlTE9Z4UkSUXt7e3U1dXR0tJS7a5U1NSpU6mtrWXSpEnV7kouRcRU4DZgCoW46HsppY9HxEuB/0Phh51m4LKU0tqImAJcD5wDNABvTik9PdT3Ha/fR/A7KUkaHJMVkqRxoa6ujlmzZrFkyRIiotrdqYiUEg0NDdTV1bF06dJqdyevWoGXpJSaI2IScHtE/Az4InBJSmlNRLwP+HvgMuByYGdK6aSIeAvwr8Cbh/qm4/H7CH4nJUmD5zAQSdK40NLSwty5c8fVhWFEMHfu3HH56/1gpYLm7OWk7JGyx+xs+RHA5uz5JcB12fPvAS+NQ/hSjcfvI/idlCQNnpUVkqRxY7xdGML4/MxDFRETgHuBk4AvpJTuioh3AzdGxH6gCTg/a74I2AiQUuqIiN3AXGBHr31eAVwBcNxxx/X3vsP/YUaB8fq5JUlDY2WFJElV1tLeSXNrB+2dXX3WpZToSqkKvRo/UkqdKaVlQC1wbkScDnwYuCilVAt8DfiPIe7zmpTS8pTS8vnz5w97nyVJGm51O/dxz9ONtHX0jUeqwWSFJEmHKKVEV1ci9ZNM6OzqYvf+Nhr3trK/rYNt27bxtre9jRNOOIFzzjmH889/Ltd/63/Zvb+dX/zyV8w96kjOXLaMU089lU984hO0tneyo7mNjpIkxkc+8hGe9axn8ZGPfIT//u//5vrrrwfg2muvZfPmzWX7ocFJKe0Cfg28CjgzpXRXtuo7wPOy55uAxQARMZHCEJGGyvZ0ePT+Pj73uc/lhhtuAODWW2/liCOOYFnJ97Ecv4+SNHbct2EXtz+xg8a9bX3WdXR20dLeWdH+OAxEkqQy2jo66eyCyRNrmFDTs2w9pURLexfNre10JZg6aQJHTDtwZ4OulNjX1sm+1g5S9/7aueSSS3jnZZfxjW98gz0tHTz+5Dpu+tlPu7c777nP5xv/+wNSWwvPP+85PO/FL+eMZWf1eO9rrrmGxsZGJkyY0GP5tddey+mnn87ChQuH90CMcRExH2hPKe2KiGnAyyhMmnlERJySUno8W7Ym22QFcClwB/AG4Fepv2xVjqWUeN3rXsell17KN7/5TQDWr1/PihUrutu84AUv4Cc/+Ql79+5l2bJlvPa1r+Xss8/usR+/j5I0NqSU2LRzPwC79rdx7BFTe6zftGs/c2dOqWifTFZIksaVzq7Ex370MI9u3cOECHoPn09Zm+L1ZwATJxwoREypUDHR++r01AWz+cdLTqcrJXbtb6ezq2eL239zKzUTJ/GmP3knO/e1097ZxeLjjufdf/q+nu+fgElTOf3MZTy17skeyYqLL76Y5uZmzjnnHK666irWrFnDzJkzWbJkCStXruTtb38706ZN44477mDatGmHeaTGjQXAddm8FTXAd1NKP4mI9wDfj4guYCfwrqz9V4D/iYi1QCPwlsPtwCd+vJpHNjcd7m56OG3hbD7+2mf1u/5Xv/oVkydP5r3vfW/3suOPP54PfvCDfdrOmDGDc845h7Vr1/ZIVvh9lKSxo35PKy3tnaQEd93TxTNeQ48Y6akdeyuerHAYiCRp1Ni0az9P7djbY1hEqUe3NvGl29bxuVue4L4NO3usSwn2tnbQsLeVjiwZ0dEr6dDZlejo7OoxrCNRKH3syuaO6L1NUUdXor65lcZ9bX0SFQCPPfoIZ5y5jPbOVHZuilKNjQ3cu/JunnHqaT2Wr1ixgmnTprFq1Sre/OYDd8t8wxvewPLly/nGN77BqlWrvDAcgpTSgymls1JKZ6SUTk8pfTJbfkNK6dkppTNTShemlNZly1tSSm9MKZ2UUjq3uHy0Wb16dZ8qif40NDRw55138qxn9Ux++H2UpLFj3Y5mbn9iB9/8duIvr5jOAw/0Wr+9mQcfyH5UqZCqVlZExFeB1wDbU0qnZ8uOojA2dAnwNPCmlNLO7LZgnwUuAvYBl6WU7qtGvyVJw6u5tYN7nm6kvaOL85bO5Yjpk3qs372vnVsf3866+r0AnHzMTF797AXddxXY1tTCbx6rZ9Ou/d3b3PZ4PZNqajh90WyaWjrY29ZBc2sHAH/5slO62wWFYRxdKdE6DBNKDfYkfuVffYi77/w9kyZN4qZbfwfAXXf8jj+44Hxqamr44If+mmf2SlZobBqoAqJS3v/+93P77bczefJk7rnnHgB++9vfctZZZ1FTU8OVV17ZJ1khSRo96ve0snt/GyfMm0lNTd+7Mt2yZjt33NPJ9htqWfSyNZx55pnd63bubeN/bmzini938NtfTOCssypzV6dqDwO5Fvg8cH3JsiuBW1JKn46IK7PXf0NhsquTs8d5wBezv5KkKkkpsbFxP50psWTu9D63JEwp8dCm3dzxZAMdXYlXPOsYTjp6Vvf6js4uHqjbxZ3rDsw8vWnXft78nMVMnzyRrq7EHesauHf9zh7VCk9sa+YnaQvnnXAU25ta+dWj2/tUM6QEv1yzjbufbqS9s4uzZpXPIiRgfwUmjHrGM0/jJyt+2P360//+XzQ07OAVFz6/e9l5z30+X//uD0a8L9KznvUsvv/973e//sIXvsCOHTtYvnx597LinBWSpNHvjnUNPLm9mcuet4QjZ0zusa6rK3H/hl1MPXYPL3rfEzzZuYm2ztOZMrEwH9H6hr00TNnOhe+fyLJlp1esz1UdBpJSuo3CeM9SlwDXZc+vA15Xsvz6VHAnMCciFlSko5I0BnV2Fe5k0Z8dza38/OGt/PzhrezNKhJK1e9p5X9X1vH9++r44f2buPWx+h7r63bu41t3b+SWNdvZ19ZJW0cXP3toK0/WNwPQuLeNr9+5ntse39HjFlm79rXzjTs3cOe6Bn64ahN3P9VYdljF2u3NfOPODdz8yLay64ua9rezv62ys1eXc8GLLqS1pYVrv3xN97L9+/YN2/5nzZrFnj17hm1/Gtte8pKX0NLSwhe/+MXuZfv8PkrSmJRSom5n4d/4nfv63ulj0679rG/cx8IjpnLSMzsg4PFtB/4Nf7BuN00t7bzupdP7zPU1kqpdWVHOMSmlLdnzrcAx2fNFwMaSdnXZsi0ly4iIK4ArAI477riR7akk5VBbRxdPbN/DhJrgGcfM6lPt0N7ZxZ3rGrhv/S4i4JJlCzl+7ozu9S3tndz9VCOrNu7qTgLsaG7ljctrmTJxAu2dXdz6WD2rN+/uMeRh1cZdtHd2ce7So3hiezO/W7ujz5CIjq7EilWbmT9rCk0t7bS2lx920dzawR1Pjsq7QfYrIrj2m9/lY1d9lC989j+YO28e02fM4O+v/qdh2f9ll13Ge9/7Xic01KBEBD/84Q/58Ic/zL/9278xf/58ZsyYwb/+678Oy/79PkpSftTvae2OuXbtb++zfvXm3dTvaeX8pUcxZ3qh6mL1piaevWgOUKjKAHjByfMr0+FMHpMV3VJKKSKGNIVHSuka4BqA5cuXj7pbiUka3xr3tjFxQjB76qSy6x/ftodVG3YxaWLwimcdy/TJPf8Zf2LbHn7zeD17WgqVENubWnnhKQdOLI9sbuL3T+7oXk+Cnzy4hVc/ewFL5s1gY+M+bnxoC/t6VSLU72nlf+5Yzxm1c3hi+x62N7WW7d/qzU2sHsRdDer3lN9+rDvm2AX8v6/9T9l1z3/BC3n+C1540H00Nzd3P7/66qu7n7/+9a/n9a9//WH3UePHggUL+Pa3v1123YUXXsiFF1540H34fZSk/Hu6YR8Pb95NV1di7szJnH3ckT3W3/Z4oTr2xKNnsmhOIbn8+PZCZUVXV+LhTU1MbTqKhXMqm3jOY7JiW0QsSCltyYZ5bM+WbwIWl7SrzZZJUu5t39PCI5ubmDZpAucuPapPtUPj3jZuWbONup37mVATXHzmQpbMO1DtUL+nld8+Uc/6hgNl2jfcv4nXn13L1EkTaGpp5+cPbe0xwSTAvet3sr+9k7OOm8P9G3aVvT1iW0cXN9y/iXmzptDY3EZXPzNE7mnp4HdrdxzOYZAkSdIw272vnX3tHSw4onwy4ZdrtnLLmu2kBPevgj85f0n3cI6mlnZWb95DZ/1s/uisWs5ZciSf//VansomNd/QuI91j01k14qzeOSdwXnPqdCHIp/JihXApcCns78/Kln+gYj4NoWJNXeXDBeRpBHR3NrB0zv2MnPKxB7Jg6KW9k5++8QOHt3SxPQpE3nj8toeVREt7Z3cua6BBzbu7k4CNLd28NJTCyPc2jq6uH1tPQ/VNXWv7+xK/OTBzbz01GN4xjGzuH/jTm5/oqFPEmF7Uytf+93TnLZwNo9uaepTDVH0yOamskmK3naM02oHSZKk0ax4x7QrXngCM6b0vMTv6krct34XEyJY0Hksd13/DFZdlrrv6LF+xz4eW13Djh+ezb53T4QlcPSsKTy1Yy8pJe54soGJ85t4+9/Vce7ykyr6uap969JvARcC8yKiDvg4hSTFdyPicmA98Kas+Y0Ublu6lsKtS99Z8Q5LGlVaOzppae/iiGl9h1R0dHZxz9M7WVvfzBHTJvGq049l0oQDcw53diUerNvF759soK2jiwh4+WnHctrC2UDhH/5Vdbu4+6nG7skbm/a3c8N9m7hk2ULmTJ/M2u3N3PzINlp63Wniwbrd7NrXzrNrj+CudQ3saO470VF7Z+LnD2/lN4/XDzg5ZEt7J/et33lIx2c8Sin1qWoZ61Ilb4iuIRmP30fwOylJw6mrK1G3s1BZu3NfW59kxebdhckzj5k9lSNbJjPvkvuYf/w5wHQAHtq0m/2zG7noQ+u44PzCLaprj5zO/Rt3sqFxHw9u2l2Y4+ylMyo6uSZUOVmRUnprP6teWqZtAt4/sj2SVG2F2Yr3s3DONCaUuQd0V1dizdYmHqzbzTOPncWZtXN63Cs6pcTqzU3cv2EnDXvbmDShhtefXcuxR0ztbvP4tj38bu0Odu0rTDC0Y08rNz5UmLdh4oQaNu/az02rt3avL+wXbn5kGzv3tfHMY2dx62P1bGjsO3N+4942rvv9ehYdOY26nfv6TDBZtKFxX9nte8vDXSzGiuaOoHn3TmYeceS4uUBMKdHQ0MDUqVMP3lgVNXXqVBoaGpg7d+64+T6C30lJGm7b97R231Vt1752antOR8HqTU3U72nllIm13Palk5lx0d2s3tJE7VGFZMUd6xqIgItLkhFL5k3n9rU7uGtdA49v28OMyRM4c/ERlfxYQD6HgUgahVJK1O9pZf6sKWUD75QST2xvZvXm3Tx70RxOOnpmnzaPb9vDHU820Li3jaNmTOaiZy9g/qwp3es3NOzj1se305BVImzd3cLW3S288vRjiQh272/n5w9vYfOulu5t2jq6+OGqTbzolPksnTeDW9Zs73ErpqJ19Xv56u+e4sT5M1m9uansrTC7UuLupxq5+6ned1zu227jIBIRqqw1TZOABmbuGH3zbmyfMoGJNYd2t/GpU6dSW1s7zD3S4aqtraWuro76+vqDNx5j/E5K0vDZ0LiXdfXNJOCk+pmcvqhnUuE3TxTOM2ecASdcVcfPtjTx6JY9vOJZx2aTZ+7miGmTOOf4A1mOU46eRUpw029bWb+3UJWxsJ/5MEaSyQppnEspsaO5rUdSoPf6J7Y38+jWPZx93Bxqj5zep83a7Xu4Y10jO/a0smjONF757GN7zNuwsXEfv3m8vvsOEE/v2Md5S4/ieSfNAwoT+9z08NbuEjYoVCjccH8db1q+mIkTarh3/U7u37CzT6XCo1v3ZFng4Mn65u7Mcqn9bZ38/OGtTKwJOsokIYr2tnbyYN3uftdrdGtPNTy4u/z3PO/euLy27P/3NHpNmjSJpUuXVrsbkqSca2ppp72ji7kzy8cwv1i9jR8/WJjK8fFte3jtsoXd6/a0tPPI5iYm1gRvO+84zqg9gmf8w2Osqy/cyWnz7v2sb9jH8WlhjzjjWYtm0759Nt/92mJmv2YrZ184rUclc6WYrJBGqc6uxI7mVo6ZXb6UtrMrsWZLE+t27OXcJUf1GAYBhSTEY9v2cNe6Rhr3trF03gxe8axjmTZ5Qneb9Q17ue2JHd0TLz65vZkXP/Noli2eA5RPMmzatZ8b7tvEm5YvJpFY+fRO7iuTZLjrqUY6U6K9s4tHt+7pvvdzqb2tnXzjrg20d3b1O5wCYM2WvpUS5QyUqJAkSZLy5pePbGN9wz7e/+KTmDyxZ5VlV1fi/g27mFATHH/U9B7VxQDrG/axsXEfC+dM44T5M5g4oYZ5MyezNktW/G7tDlq2zmLVz07l6bdMYtmywnZnLZ7DghNamHzJStJRTZy+6NhKfNQ+TFZIFbanpZ19bZ0cNWNyjwkdi1o7OrnnqZ3s3t/OqQtmccL8nsMlihM/3rt+J3taOjhhfiHJMHXSgSTDY1sLczLs3l+Yc2FdfXOPySEb97bx84e3sq3pwD9oT+3YW7gV5jmL6OgsDHdYtXFXn/7d+th22jq62NvawZqtTWWTDI1727jujqdpae8cMMmw8umDTwxZrlJCkiRJGus6uxJbdhfi9V372ji614+Um3bt5+mGvczeO4+jj+/i0dUTaNrfzuxscvmH6naxo7mN49MCjpg2GYAFR0xjQ+M+Gve28UDdbiYd3cRHP7ubM888unu/NTU1PP+kefyoeTPt22dz9nG9JsKoEJMV0iBt3rWfva0dHDd3OlMmTuizfte+Nu54soE9LR2cffwcTjp6Vo/1xSTEfRt20tmVOO6o6VyybCETs4RFZzZm7K6nGtjbWphUcV19MxcvW8jxcwu3zKzbuY9frN7WnYQotNnLj1Zt4o/OrqW5pYPfP9nQZ06G4uSQe9s62LWvnce2NtHe2TeLsK2phWt/9zT7B0gypFTIwh6ME0NKkiRJh25rU8uByTP3t/dJVjy8aTdb1k2l6SdnMP/Nm6i/4Vh+9Ia9/Mmr5wBwx1ONtG+fze2/eAYPXAzLlsFxR03joU27uX/DTh7fuocZUybwR38ws8+dPl50yjx+dMte6n94FjXvrc4wWpMVGtXaOrro6Opi+uTyX+X2zi4e2dzE/vZOnr3oiD638oFCQuD3Tzawr62D5504r8+kNI172/jtE/Wsq98LwMI5U/nDs2q7y7D2tnZwz9ONPFS3u3uYwdamFi56dnDS0TNJKXH/xl3cta6xxy0sNzTu44b7N3HhMwpZzJ89vKV74siijq7EDfdv4pnHzmLqpAms2rirbBJh864Wrrlt3YBVCF0pcfsTB08y7DPJIEmSJFXdhoa93ZO2b2zcxynH9Pwx9DdP1DPp6CZe/9H1LFjaxsN776PjiFpgTmHyzLrdzD2ulY99tYUzzyxUW5w4fyadXYUq6g3ZLU0XHdl38sxjj5jGi547me0L1vLcc88c8c9ajskKVVxKiY2N+2nr7OSEeTPLTtZSv6eVe9c30trRxQUnzeszoUzvKoXnnjiX80+Y272+q6swH8Pvn2ygKatCeHzbHt5wTm13YqNu5z7ueLKhx3wLv1yzjc6uxBm1R9Da0cWtj9Xz6NamHgmCzbta+O7Kjbzw5Pm0dHTyyzXb+gyF6OxK/PiBzSydN4OulFjfUP7OEHU79/ONu9YzIfqf+DGlwc3J4HAJSZIkafRoammnozNx1IzJZdf//OGt/OD+TQCs27GXl556TPe6PS3trNncxKQJwQfeOJ/jj5rOt1fe0j0fxebd+9nQuI/TFszm5S+c2l058cwFhWHhGxv3saO5lTNq5zChzPXYwjnTOOu4OZxwzow+VReVYrJinOjsStQEA97LPaVE4962fmeabdzbxkObdtOVJQdK50gA6Ojs4v6Nu7h/w07aOxMXPXsBS+fN6NFmQ8M+fru2nu1NhQkbT10wi5efdmx3wqJxbxv3PN3Io1v20JVlCLY1tfCHZ9Uyf9YUOrsS9zzdyP0bdvWoUrjjyQZa2js5/4S57NrXzk2rt9K4t2eVQkNzG9+4cwPnnXAUjXvbylYppAS/enQ7D27aTVtHV3eio7f6Pa18/766fo9l0VM79h60TUrQMdDEDpIkSZLGnJ8/tJUtu1v4wEtO6pMw6Mwmz+zaMZvFJ7Xz2OoaUqI7cVCYPHM/C+dM45SjZ3HE9EnMnjaRtdsLyYrbn9hBR1fiWQtnc8S0A3fpu+CkuUydOIFbbm+j8wg4o3Z22b4tmTudOdMnMb+fa8NKMFlRRS3tnUyZWNNvAqGrK/FkfTNHzZjcbwKhobmVe9fv5Ihpk1h23Jw+cym0tHfy8Kbd3LdhJ9MnT+RFp8xn8VEHbkuTUqJu537Wbm/myfpm9rR0cP4Jc3nuiQeqFHbubeO+DTtZvbmJzuzX/8279/NHZ9UybfKE7P9IO7l/wy6aWzu6t/vJA5t58TOP5lkLZ1Pf3Mota7azdXfPGWrXbNnDnpYOnn/SPNY37OPupxq7kxRFe1s7+eZdGzht4Wy2NbV03/6yt/s37OKRLU20d6Q++yhqbu3gljXby64rtaOf95AkSZKkw9Xe2cXWpha6UmL3/vY+1RWbdu7nsUcmUH/DMhb+4QbWfr+WlZd38ZxzCkPRV23cRcPeNpbEwu4JNY+dPZUNjfvY19bBA3W7ATiv5LoOYMaUSZxQs5Cbv30i8//wPs4+7qiy/YsIzqidw+yp1UsZmKwYoubWDlZv2s0zjp3FnOl9y3WKCYb7N+zi2COm8pwlR/W4FSQUEgyrNu7ikc1NHDF9Ei9+xtE9EghtHV2s3rybVRt3sWtfOxFw9nFH8sJT5ne32bJ7P3eua2B9w77u6oDHtzfzhrMLCYSOzi7uyW4ZWRwesLe1kx/ev6l7wsZtTS38+tHt3TPMFt25roHGvW2cd8JRrNnSxH3rd/W5+N/e1MrXfv8UyxbP4cn6vWUv7ju6Ejc/so2VTzfS1NLRnejorW7nfr5zz8YBjnphvoWHN+0esA1Q9s4UkiRJkpQnm3buZ8MTk1l4Qiu79rX1SVas2riTltmNvPj9a1lwQisbOu9j5sIzgUIlxF1PNRQmz/z6KTzw2sLkmbVHTuf3T+5g9eYmHt+2h+mTJjB551E9KjIAXvfSmazaeB/Tjt3DssVz+u3jsxbOpr2zetdXJiuG6McPbGbr7hZWrt/JBScVJmOcUBN0dSUeKLmdJBy4lczrz65lxpSJ7N7fzm2P1/NkfXN3gqGhua07gXDM7Kk8tWMvv1u7o3sfUBgmcO/6nXSmxIIjpvL0jn195lGAQjXA9+6rY/7MKdTt3NdjH0UdXYkVqzYzaWLNgHdreHzbnj53lOittb2Lu9Y1HvSY7dxXfiiFJEnVFhFTgduAKRTiou+llD4eEb8FijOZHQ3cnVJ6XRTKIT8LXATsAy5LKd1Xha5LkkaxW37Xypc/fiyv+cunec7S/Zwwf2aP9b99YgcR8OwzE11dk5h8zDYe2dzEqQtm09mVWL2pibnHtXL11w5Mnrl03nR+9WgXd68rTJ45vXkuH7h8Kj/4QSGZUXTSMTOy/c5g5gCVE1MnTegz9L+STFYMUTFB0NbRxa8e3c5vHq/nyOmT6OxKZS/KG5rb+PY9G5kysYbGvW1lqwuKd3w42LQFqzbsYtVB+rdjT+tBhzB0dCU6vOODJEkArcBLUkrNETEJuD0ifpZSekGxQUR8H/hR9vJVwMnZ4zzgi9lfSZK6Ne5to6Ori6NnTS27/rH2jUy/qInbGprYcX0tP/vk/O7qh93721mztYnJE2p44zm1zJk2if+9t47Hsh+TN+/a1z155stKJs8s3i1kbX0zDc2tvPhM+OClwZm9buZx9KypvPzUY6jZOadP1UWe1FS7A6NdZ1diR3PbgNUDTfvbqd/T2u8wCOCgiQpJkjT8UkFz9nJS9ug+K0fEbOAlwA+zRZcA12fb3QnMiYgFFeyyJGkUuPGhLXzn7o2kMhd6bR1dPLypidm1zRy5fx63fuFkHnjgwPr1DXuzyTOn8swFsznx6JlMmVjDE9sLyYrbHs8mz1w0m9lTD0ye+aJTjmZiTXDHkw10JThz8REsW9Y3GXHKMbPYsXEan/novB7vmzcmKyRJ0rgWERMiYhWwHbg5pXRXyerXAbeklJqy14uA0omW6rJlvfd5RUSsjIiV9fX1I9NxSVIutbR3sqO5lY6uxJ7WvkPz63buY+POfdTOmc6SZ3Rw9B/dyxlnHEhq3L9hJ7v2tTO/7RhmTJ5IRHDM7Kmsq99Le2cXqzbuom3bbJ53wrwe+z32iKk889jZbHhiMinB8uPLT545eWINL7tgKv/f11r6VF3kickKSZI0rqWUOlNKy4Ba4NyIOL1k9VuBbx3CPq9JKS1PKS2fP3/+wTeQJI0ZdTsP3ARh196+Ffgrn25kT0sHtUdO48gZk6iZ18TmXfu719+5rpH27bO57f87UHGxcM5UGve28djWPay8L7Hjh+cwYdeRffZ90oRF1N9wNqlh9oCTZy5bPIcXPXdSboeAgMkKSZIkAFJKu4BfA68EiIh5wLnAT0uabQIWl7yuzZZJkgTAuh17WVffzJP1zfzq9tY+Q/5/+0QDbdtms3DONI7M7jD58ObCnQ/bO7t4ZEsT84/fz/+7rq278uH4uTPY09LBfRt20jS9nmXvfISXXTClz3u//AVTeMYfP8TSUzqYPqX/KSqPmjG57N0t88RkhSRJGrciYn5EzMmeTwNeBjyarX4D8JOUUuk9vlcA74iC84HdKaUtleyzJKm6Nu3az4aGff2u/9H9m/n+zXv5/i/28sF3T+sxL8TOvW3cd38XO354DsumL+Gy5x8PwKNbC/NR1O3cR93O/SydN4OXvWBKd+XDyUcX7hby8KbdNO5r46yzYNLEvpfzR8+eyttedQSvWPCMUT8voskKSZI0ni0Afh0RDwL3UJiz4ifZurfQdwjIjcA6YC3wJeB9leqoJCkffv7wVn784Oay6/a3dbLy3i52/Ogc5s6YzCl//FCPeSHW7Whm17QdnP2uR3jtS6bz7IVzmFATPJ7d6eM3j9Wzf8ssnr1oNjNKKiNecPJ82rbN5vdrG0gJzqydU/b9T10wm1110/nC3x2T68kzB8Nbl0qSpHErpfQgcFY/6y4ssywB7x/hbkmScmr3vnaa9hfmodjb2tEjoQDwdMNedk2v5zmXr+HIxe2srd/TY16IlU/vZG9bBy97zgSmTZ4AwLyZk3liWzOdXYlf3t5G/Q1ns+DV+3vsd9+WmexcsZx1F69k8jH7Oef4vvNVAMyYMpEXnD+JC65t4cwzZwzjJ688KyskSZIkSRqEjTsPDP/Yua+tz/rfr22gtaOL056dOHLGJFrau2hobu1ef/dTjf8/e/8d3lZ6Hvjf3wcdICpBgr2IEtULRZVRGU2f8dgee4p7HLf04mR3vbvZ5M3uZpNsspvfZkvaruMkduLEjuu02JOZePpomnqX2HtDb0QHzvsHKEoQQI3LNEn357p4XdR5zgHOwQxJnBt3AeCWtZeaL7e6rISSOUYDSaJWP6s+for7brdVPG5fn+KTvz2N0RfHpNextd214jn2dbi5dY/pXd0884chwQohhBBCCCGEEOKHMLiQ4PR0jDMzMUYDixVrmqbx2lgQgHa3FbfVCMDZpeaZ6VyRo8c06utMbL2sjKOz3kYsnefEVJTpaJrudTnaPNaKx1YK7rvdhtNqoNVtwWpauUiio96Gy2Z8My73HSXBCiGEEEIIIYQQAjg3G18OLtTy+MlZnh3w88wFP195eaxiLZDIMhpYxGkx8FM3dfKZfd0AXJgr96N48oU0Z/9+E550I+2XBSNWNdhJzzs4OhEhmsrT63Og11WnRfgcZh7oa+P2xrXXfPPMH4YEK4QQQgghhBBC3PBKJY3nB/28OBisuR5L5RleSGJN1NPksDAZrpwIMuJPMhNJ01Fvo7uhjq3tbhRwbi4OwLxxgcYHjnHbXhMWo375uOZCE4FH+nn6YLlcpK/TXfP5N7Q4Sc87+NJ/br7mm2f+MCRYIYQQQgghhBDihhdIZsnmS2TyRdK5YtX6cCDBxJCRyW/2YYx6WIhnK9ZfHQ2Rzpdozjdj0OkwGXR46kwMLiTRNI3TM1HMzXEOrG2oOO5Dd9vZ9JmzBEx+AHZ319c8P0+did07dHzxb7MVE0auVxKsEEIIIYQQQghxw5t+g+aZLwwG0DXEue8L43T05khmCyQy+eX1o5MR8n4nT/yfVcuZD00OC5NDRsaCKUb8i9TbTKxtclQ8rtGg4/Z95YaYVqOe9c2V65fb1uHm1n3Ga7555g9DghVCCCGEEEIIIW54J6eivDgU4OBwkDMzlX0riiWNYxNRlIK+PnDbjOQWnJyZKZd4JLMFhv1JOntzfPnv88uZD7ZkPQNf28pjzySZiaZpclpodlqqnvumVfWY9TrsyQZMBn3V+kVrfHaclmu/eeYPQ4IVQgghhBBCCCGuey8MBnh5uHY/ilJJ4/un5zk+GeXoRIRvHp6qWJ+NppkILdJoN/O5/au4uX4NgUf6+cFLGQAG5+MsxLP0NNZx1wHzcubD7h16Gh84it/oJ5ktsL7Fga5G88wWt5W9ntVMfGvbVftR1Gq8eb2SYIUQQgghhBBCiOtatlDkxGSU0zO1J30EklkmQynaPVaaHBbOnVEVEzcGFxLMxjJ0em34HGYevNNO44PHiNvKwY/nBwIA7OzyYNRfus2+ZW0DpqY4r4yW9+vv9NR8/g3NDrZuhf/9V6kboh/FD0OCFUIIIYQQQgghrmuz0QwlTSOdK5LJVzfPPDMdw5/IUpf0oou4OfbljRUZDi8PBymWNHZ1e9DpFDaznoauFAMLCTRN49R0jELAyb7Vlc0z+7s8tLgsjAdT5Bac7Oqq3TzT57TQ5DKzf7fhhuhH8cOQYIUQQgghhBBCiOva5c0zo6l81fqLQwHyfievf2k9DosB7/1HWbuhHNTQNI0TU1F0StFcaFrOuGh2WQgkskyGU5w5rQg+soPUfGVzTLNBz/ZON3m/k+BjO0jO2Vc8xy1tLhod5jfhaq8PEqwQQgghhBBCCHFde3EwwHeOTvPw8WkODgcq1jL5IqemY1iaE/zqHyywYVMJU1OcgYVy88xIKs9oYBFPppH/8uvu5YyLdo+NaDrHsYkIcVuQfb84yO37TFXPvbfHi60lwc6fPU//9pXTJja0OKkzG968i77GSbBCCCGEEEIIIcQ17e9fHefR4zM117KFIi8MBJkaNjIdyvC178cq+lFMhlNMhdM4Uw38+0+08ImbOgE4N1sOVpyYihBN59m2FR7+rlruKbGqwUYmX+K10TC5Yom9u/U1SzjaPFYe2N7GLz3kvWqJx+W9LoQEK4QQQgghhBBCXMOiqRzBZI75eKbm+nQ4xcgFPcFHd6Ibb+epP11d0Y/izEyM2VEzI/+4lfEhIxtbyqUcF5txvjhYbo65b42X/n61HHC4bZ0PgINLE0Z2d9fuR7G+2Umb28rmNtdPfK03EskxEUIIIYQQQghxzZqOpAGWm2dajPqK9UNjEQqeKHf/2ggpexRD/Qm2bdu7vH5wKIjRF+df/WGAbds6UMqE3Wzg/FwcTdM4PxfHYtSxq7tyksfOrnqanGZmomkUsGtV7WBFq9uK126i0S79KH4UklkhhBBCCCGEEOKaNR1JoS3VddRqnvnySBClYNs2qLcbybrCZAvl5pn5Yolzc3FsJj0fvdexnDXhc5rL40zDKcaDKawJL90Nlc0xLUY97cUWNA3q60y0uCwrnuOmVmme+aOSYIUQQgghhBBCiHctfzxDZDG34vqjx2f402eH+bNnh3j8ZGXfimgqx9BCEptJz7YOF6t95YDDwEKi/NiJDBOhFF1eG131dcvHtbttRFN5XhkJMTNiYvhrWxkbMFY89smT8NIX11IKOumst6Gu0pBia7urKuNDXN01F6xQSt2rlBpQSg0rpX7znT4fIYQQQgghhBBvjUKxxDcPT/HU2fma69FUjjMzcZwWA3qd4vB4pGJ9LLjIdDRFh8fGfdtaef+WFgDOLvWjeHU4RDpfZH2zA5ftUjCip7GOVK7I66Mh9I1xPvc7s8uNNS/atg1+70/jfPxeJ5/c03nV65DmmT+6a+oVU0rpgb8A3gtsBD6hlNr4zp6VEEIIIYQQQoi3wlwsQ6GkEalR3gEw4l9kNpahIduE22piKpyqWH99LMRitsjGFidmg57NrU4ATk6XgxWvjIQAuGVtY8Vxd23wkVtwcnA4hFLw4F32qkkeSsEH7rTR6rayvtn5ZlyuuMw1FawAdgPDmqaNapqWA74B3P8On5MQQgghrlFKKYtS6pBS6qRS6qxS6neXtiul1B8opQaVUueVUr9+2fY/XcrwPKWU6n9nr0AIIa5vU5Fy8CGTLzfPvNLzQ34y8w6OfnkD+oiHsQFjxVjSQ2NhNA06tHJvCZfNhM2kZ2A+TqmkMbiQwGU1suWKSR26iIfwYzuYHTFj0Cl2dHmopc1txW01sjBmqXhe8ZO71oIVbcDUZf+eXtq2TCn1C0qpI0qpI4FA4G09OSGEEEJcc7LAHZqmbQP6gHuVUnuAzwIdwHpN0zZQ/oAEytmdvUtfvwD8v7f7hIUQ4kYyuJBgJJBkPLjIfDxdsVYsaRwdj2D0xfnMf5zBaTEw+o9bOXSkHNRIZPLlfhWJev7PbzUujyttcloIJnKMBpNMhdNY4/W0e2wVj713l4H3/5sxjL44PqcZp7WyX8XlzPF6fv7TpopxqOInd60FK96Qpmlf0jRtp6ZpOxsbG9/4ACGEEELcsLSy5NI/jUtfGvDLwO9pmlZa2s+/tM/9wFeXjnsNcCulWt7u8xZCiOvFi4MBziz1j7hSoVji4aMzfO/UHI+dnOWbh6Yr1mejaSZDKZqcZn7q/S5u3Wei8cFjWJrLzTMnQylmoxk2bNL4zne05Z4TbW4rkXSOZy/4CUxYOff3mxk4V9n8Uil43+1WjHpFT0MdV/ORexw8/LCq6mkhfjLXWrBihvKnHBe1L20TQgghhPixKKX0SqkTgB/4gaZprwOrgY8tZWv+s1Kqd2n3N8zyXHpMyfQUQog3EEvlOToR4dR07WDFXCzDRDhFZ70Ns0HHoD9RsT60kGQunqGz3sZNq+q5dV0jpqb4cvDjhcEARU1je5eb3Tv1yz0nen12FrNFjk6UszJ+7Q8DNQMN3d46Pr6rg0/v7b7qdRgNOvr6qOppIX4y11qw4jDQq5RapZQyAR8HHn+Hz0kIIYQQ1zBN04qapvVR/hBkt1JqM2AGMpqm7QT+Cvjyj/iYkukphBBv4GI/ikgqx4kTVPV8OD4ZIZbO0+214baaOHdGV7HPS0MBiiWNHV0elFLLzTOPT0YBODweRq9T3NLbUPG4925uBsrNNZWCj93rqBlo2NDipL7OTHreIf0o3gHXVLBC07QC8HngKeA88C1N086+s2clhBBCiOuBpmlR4DngXsoZEw8vLT0CbF36XrI8hRDiTTIVTjMzYmb0gpEHH9Kqej68NBRE08AYrUcXcXPsbzYs71MsaZycjqLXKW5dmuThXmqeOehPUCiWGAksYo3Xs9rnqHjcDS1O3KlG4ukCNpOeDS21J3m0uq0kZ+38q5+zST+Kd8A1FawA0DTtCU3T1mqatlrTtD94p89HCCGEENcupVSjUsq99L0VuBu4ADwK3L60263A4NL3jwOfXpoKsgeIaZo297aetBBCXAM0jZrZEpf7zr/E+Yvf9vHySJD/+ufxilKMxWyBc3NxCLl49I+7cJgNeO8/yrqN5eaZoWSWseAibS4rmcsyH3wOM+FkjrOzMSYGjYx9Yxv+MUvF845cMDD6ja3k/U5a3VaM+pVviz94h41HHkb6UbwDrrlghRBCCCHEm6gFeE4pdYpyuekPNE37HvDfgQ8ppU4D/w34uaX9nwBGgWHK5SG/8vafshBCvPsdOVrirvfl+LNv+2uux1J5LuSnaXzwCHP6eUaK0xWlGOOhRaYjaXrWF/jud+HBu+yYmuIMzMcBOD0TI5LK48k28vOfuTSJo91jI5LO8eSZefDG+OhvTrF9e2WNR1+f4l//URBHa5KNLZVZF1fa2u5i+3Yl/SjeAYZ3+gSEEEIIId4pmqadArbX2B4F3l9juwb86lt/ZkIIcW1r7E7z2f8cxNVezrDYtq2yAeVoMMl8PEP/djMD83pGg4sVxx+fjBJL59m32stt+0yYRlzl7VNR+jo9vDBQbl78/tts/O4HL03i2Nji5OBwkBPTMZSC+263VQUalILb95mw+LppLzWjaSs3x9TpJErxTpHMCiGEEEIIIYQQb6qZaJq21VnOn4EPfai6H8WLg0GKJY12jxW3zch0JF2x/vJwEICb15SbY266onnm6ZkYdSY9u7s9FZM43r+1BaXgyHgYBexb7a15fptanISnbPynX3NJP4p3KQlWCCGEEEIIIYR4U02GF0nlCrjaUnz164WKng+lksbh8TAAbe5ysGIhnlleX8wWGFxIYDcbsCe9aBq4rCbqzHpGA0nSuSKT4RQ+p4VVjfaK513VUIc34yNX0KivM9HsquxXcZHPaWHrNvjmtzXpR/EuJcEKIYQQQgghhBA/NE3TODIeZvyK0o2LcoUS3zg8xV+9NMZfvjTKgnGhosxiPp5hLLhIXcLLqoY6Wt1WEpkCyUwegNlomqlwGk+mkX/9C3XLmQ9NDgvhVI6XhgOEkjnsyQacFmPFc49cMDD09XLzzM56G+oqzSb29NSzZ5de+lG8S0mwQgghhBBCCCHEDy2YzPHSUJCT09Ga67PRFKOBRZqd5ayGY5OV+w35E0wOGRn/Vh/rjB3c2lsePXp+rtw88+BwkFyxxP5dBh55+FI/ijaPlchinmfP+8n5nbzyl2urSjj6+hRf+KMgrT1Zbuqpv+p1rG26enNN8c6SYIUQQgghhBBCiB/aVDjFzIiZUCJXczzp0ckoiUyB9S0O7GZDVQbGS0NBdA1xPvufZ+jrU2xYmshxeCICwKujIXQKblnXWNGPYld3Pel8keNTUYy+OP/rS4tVJRxKwd03m/nknk7u29r6Fly9eLtIsEIIIYQQQgghxA/tpdfy/O3vtvDCU2Yeeqi6eebBoXJzzHa3FbfVyHQktbxWKJY4MRlFr4NP3OtEKdjQUm6eeXIqCsDQQpIGu3l5+0Xv2dSEQacYmE9gMer46HscNUs4NrQ40TTwj1mqAini2iHBCiGEEEIIIYQQQDlL4vhxjVKp9l2+pmksGBfY8tlzJFrG+YuvZCqyG5LZAudn46iQG4/NhNtmxJ/ILq+HFnOMhRZpdVvpXSrDsFuMOCwGJsMpFmJpZqNpLHEvbW5rxXO3um348k1oGrS4LFhNhprn6KkzUQg4+blPm2TSxzVMghVCCCGEEEIIIQB49XCBu9+X5y8fDtcs8QgmczxzYYFxZjg2FWGC2YrshrFAkuEBAwsP99Ojb2NTq5NUrkg0lQPg3EycuRELPY12fA7z8nFNTgvRVJ5/OjVHYsbOqb/dyLkzlberIxcMnPvqZvJ+J6sa6q56HZ98n4uHL+t3Ia49EqwQQgghhBBCCAGApyPFZ39njmS2wIc+RFVmwsB8nKlhM9s7PChgxJ+sWD82GSXvivCBfzvOA3fa2d7pAeDEUonHN59KEHikn/ZSc8Wkjq56GzMjJo6MRzD64vyHPw5XBRq2bYPf+OMQu3boeN+WlqteR5vHWtHvQlx7JFghhBBCCCGEEAKAmUiattVZ3B2LfPe7VAUMvvFkgsDD/dgSXpxWIxOhVMX6y8NBlIIH7rKhFGxsLfedODQWBmDOMEfnR0/wobvsFcetUm3MfaefF17LoVPwqftcVYEGpeA9t1i5bV0jO7o8b+6Fi3cdCVYIIYQQQgghhABgMrzIYrZAaDHLpi2lioBBoVhi3jCP76FjbNmq4bYZmYmml9eji3mOHweH2cDOrvLY0HXN5b4UZ2ZilEoaU+EUXWvz9DRWBis+dZ+bjo+eIGUPU19nqupXcdH6ZgcKxbw0z7zuSbBCCCGEEEIIIW4AmXyRL343xGPPLNa80U9mC3zj8BR/fXCML74wysvDwYr1mWiaqUiKrt4cPqeZBruZQCKLtvRgz7yc4cTfbqA+66Oj3gaA2aDHbTUydF7P4bEI4VSeTq8NT52p4rEbHSa29ZWzJzrrbRUlIperMxswxT186hMGaZ55nZNghRBCCCGEEELcAJ45mOM3f9HJz/6UpeaN/kRokfFgimanBYBjE5GK9fNzCfyJLKsa6/jc/lXctKqeXLHE3FJ2RdDsp/GBY9y824DFqF8+ri7p5fiXN/I3j4cA2Nruqnpum8nA1nYXmgaedONVsyZ++n2umiUq4voiwQohhBBCCCGEuAE42pL87O/P8oX/4a95o39wKERy1s62djd6nWI0uFix/tJQAE1juV/EumYHmgbfeCqBpsHrY2EszXFuWddYcdzuHXrq7z9K2BIAYN/qhprnt73Dw4H6NfzLn66+ataE02qU5pk3AAlWCCGEEEIIIcQNYCaapn1NFnfnYs0b/X9+IUXgkX4MUTduW2XzzHSuyMHXChh0ilvXloMRm1qd5P1Ofv9fuzl5EgYXEjQ5Laxf6lNx0Xu3NGNqinNyOorVqKevozqzAmB9i4P+7Yqvfr0gWRNCghVCCCGEEEIIca0rlTSmIyli6XzN9VyhxPMXAnzv1CyPHZ9lPpauWA8kskQsAXo+cYrV64u4rUbmY5nl9edezvHaX63DnfaxqqHcHHNVgx1zU5xdP3uBtp4sC/EMLS5LVXPMre1ufA4zuYKGY7EBs8FQ8xxXN9qxmvTcus8kWRNCghVCCCGEEEIIca2bi2f49pFpTkxFa67PRFIcHAkwGU4xsJDg+YFAxfpoIMlcLMP6TUU+sK2FtU0OQotZCsUSAHl3GO/9R+nfDvVLzTH1OkWjw0yxPsL3Ts2SL2qsb3Zi0FfeZrptRtY1Ocj7nVz4h80rlngY9Tp2r6pHr5NIhZBghRBCCCGEEEJc86bD5ZKNaCpXtaZp8J1/SZLMFNnVXR4pOriQqNjn5ZEQuWKJLW0uepscbG5zUSyxPDnk4HAQU1Ocm9dU9ptodVsJJLK8NhYit+Bk51I/i8tZjHq2d7rxdKT4d/9f6KolHn0d7h/xysX1SoIVQgghhBBCCHGNmwqnmR42c+I4VZM0Tp6E//oFD3m/kzWNdqxGPWOXNc/MF0r84KUMmsZyP4r1zeVMiF/6bHlyyMnpKG6rkf4rghH7VnuJZwq8frhE4NF+3OnK5poXbW1383MHVvHp+9xXLfGQrApxkQQrhBBCCCGEEOIaVixpPPdKlr/87Wb+x79r5NixUsX66vUFNn76DK72Rdw2I26bkenIpZ4Vz7+a47k/X4Nj0cvGtnLzy81tLoy+OHd8fpj1m4pMR9K0uCx0N9RVPPY9m5rQ6xQRa4D1nzzD7fvNNc9xfUu56abPWXtdiCtJsEIIIYQQNyyllEUpdUgpdVIpdVYp9btL2/9WKTWmlDqx9NW3tF0ppf5UKTWslDqllOp/Ry9ACHFD8Mcz/MVzwxweD9dcn49neCU6iuODh3B84HVSjlDF+ngwScIWpKPeRpe3jianmfn4peaZlqYE9fcfZdMWjWanBQCfw4zFqCPtDHFoLEwqV2RVYx12c2VzzDa3jW6vDaVg09bSilkTbW4rrW4LNlPt5ppCXEmCFUIIIYS4kWWBOzRN2wb0AfcqpfYsrf17TdP6lr5OLG17L9C79PULwP97m89XCHEDmoqkyBVKhBer+1EAnJ6OEknl2LpNw9wc5+xcvGL9yESEZLbAhhYHH9rRzuY2F/F0gZdfy6Np8NJSP4rLm1sqpfA5zERSOb5/ao7cgpPtHdX9KNw24/Ko0vXNzhWvQSnFzb21S0SEqEWCFUIIIcS7nHZl8bF402hlyaV/Gpe+rvaC3w98dem41wC3UqrlrT5PIcSNbTqSRtPgxAmtqh8FwItDQQC2trtQCob9yeW1UknjlZHy+r7VXgDWLk3m+MhHFCdPwpHxMGaDjv2rK5tnrm12MBvNcORYicAj/TRmfVXPXZ7g4eVAbwMf2Hb1X4dXjjQV4mokWCGEEEK8hQKJLNORFMlMoWqtpGmcmYnxNwfH+PPnhvnHQ5MsZi/tly+WODQW5le+doxiSQIWbxWllF4pdQLwAz/QNO31paU/WCr1+N9KqYtF1m3A1GWHTy9tu/Ixf0EpdUQpdSQQCFy5LIQQPzRN05gKpzj6XB3/4997q8Z+ZvJFTk/HMOl1NDstOC1GJkOXmmeGFnMM+xdxWgzLkzo2tjgx+uI89BuTbN6iMRZcpN1jZVVjZT+KO9f7KJY0Jpil5xOnuO+OyvWLNrY66e/0sKrB/uZevLihSbBCCCGE+DGkc0UOjYU5OBxk6IrxbwCRVI7HT87y9UOTfPfYDH/36jhzsUvNzGYiaf7x0CTPXPDjsBjY1u4iksrx6IkZUrkC8/EMX311gldHQ7htJhKZ/Nt5eTcUTdOKmqb1Ae3AbqXUZuC3gPXALqAe+A8/4mN+SdO0nZqm7WxslLRnIcTKwos5Hj42zbC/+m8JgD+R5cuPR/nm/3Wj230GT8dixfpUOMV0JEWr24JOp3DbjMxEL/WjmA6nGLmgp8tbR5vHBsCGFgdKQcwWYCyYZGHMSqvbis9R2fxyT48Xh8VAoaSxdmMRg752Q4q1TQ5MBh0em/EneSmEqCDdTYQQQtxwkpkChVIJu8WAQVcZt9c0jWF/kqOTEfJFjRaXhdvX+ZZreIsljdMzMV4bDZEtlNArRVHTuCNfYku7i2JJ49XREMcnIxh0Ovav9tLoMPPcQIDHT8xy54YmIqkcr4yEcFgMvHdzM70+O0opOuttPH5ylr85OIZSCptJz0d2tPOv7urFbTO9Ey/VDUXTtKhS6jngXk3T/nhpc1Yp9RXg3y39ewbouOyw9qVtQgjxYxkPLTIRSuG1m1njc1Stn5+LETL7Wf+pIom6EEcnfHR5L2U4nJiKsTBmZcdtFn7x1h4G5hM8c2EBTdNQSvGtf0kw951+7tk0i8WoB6DObMRpMRBMZvniwyECj/TTsCuAuqI7prfOzNomB0cnIqxtWjlrwmU1sq3dXXW8ED8JCVYIIYS4bmTyRQbmExRLGm0eK01LHc0vSmTyHBwOMrhQruV1WY18ZEc7dUudzQOJLC8OBpiOpvHWmXBaDJydjVPSNO7e0EQkleeJ03OEFnN01tu4pbcBt83E907N8tyAn2AyS2gxx0w0zcYWJ/tWe5cf+8HtJh4+Ns33T88BsLbJzl0bmjDqLwVLurx1/NTuTs7MxskWity8pkG6pr/FlFKNQH4pUGEF7gb+SCnVomnanCq/834AOLN0yOPA55VS3wBuAmKaps29E+cuhLg+XOxHcey4xi29VE3TeGkohFJw614T3z8Ng1dk8z36dJLAI/20HohgMxlY7bPz5Nl5RgKLrPHZmVZzND00wUfu7q04rtVtZT6WoaF1gcYHp/jwPRuqzs1pNbC1zcnp6Rj7ruhncaWd3dXNN4X4Scg7ICGEEO8KqVwBTQObSV/1yczFbIeT0zFKmkZPYx07u+qX10uaxtnZOK+MBMnky7Pl9TrFg31ttHmsFEsaRyciHB4PowG7uj3YzQZeGgry6IkZ3relhclQiheGApj1Om5f18jmVhc6neL10RCvjYWZi2ZI5YvoleK+rS30NNQtn+f7trTw3IB/ufv6vZuaWddc+emYy2rkM3u7GQ8tUihpy9kUV/Lazdy6VsoG3kYtwN8ppfSUy2O/pWna95RSzy4FMhRwAvilpf2fAN4HDAMp4HNv/ykLIa4XmqYxE0lz4gU7T/6th9vXQV/fpfVCscSJyQh6naK7wYbJoGMkcKkMJLKYI2j20/aRIB99zxYA1jfb0TT4+hMx/uOn6xhYSNC9Tsf6lsq/S3tXe/nKy+NcmE/g6SjQ31kdbFBKsbPbi8NiZN8a71Wv5WLWhhBvFglWCCGEeEstZgsM+5OUNI3uhjo8V5QzxNJ5XhoKLL/5anNbub+vdTnjIJjM8sJggOlIGrfNiEmv4+XhEArFji4P4cUcT56dJ5DI0ua2cktvA1aTnkeOz/D4qVn2rKpnLLjIVCTNGp+dA2sacFrLNbUuq5F/OjXHV1+dAGBVQx13b2zCetkbrt2r6nHbTJycjmI26njf5pbl4y8y6nXcs7GZW3qLlDRtxWwInU7R0yjNx95NNE07BWyvsf2OFfbXgF99q89LCHH90DSNaCqPp666nC+YzPHtpxIc/GILq+4dYM269Vx+izYdSTMZTtPismDQ6XBbjUyFU8vr8/EMk+EU6zba6G4ol4ZsbHWS9zv5n3/bwN7VWYLJLLu666smcdy9oYm/fWWcQDJLr8+O1VQ72LCu2c6wP0mj3VxzXYi3igQrhBBC1KRpGvFMAQU4LIaqLICLkywuzJfTUTe1OtnU6lpeL5Y0TkxFOTQWJlcsZzscHo/wkR3teOpMFEolDo9HODoRQVHOdtArxWtjYf75zDx3b2ziwlycl4aDFdkOKHjyzDwHh4OMhxbxJ7Lolaro/QDwQF8bT56d58WhIHqluHtDExtbK+e/d3nr+Ny+bs7OxlEKdnR50F1xnUop1jU7qjIlapFPlYQQQlzp6ESEQkljT091ZsLgQpzR0gwdH1kk44lyfKqJA5dl152ejRFIZrmlt4G7NzZxcDjIaODSWNLXx0Kk80U2tjqwL5UddnvtWJoTbPiZ88wbPJQ02NDixKCv7NHU3VBHp8fGRDjFGt/KgfRub105WKKX2Qzi7SXBCiGEuAEFEllGAkl0SrG2yV7VvHEhnuGFwQBzsXI38VUNdbx/S8tyk8nZaJrnBwMEElkaHWZKmsbT5/3odYr1zU4W4hmeOjtPJJWn22vj5jUNaMDDx2Z4+PgMe3rqOTsbZy6WYW2TnZvXNOCwlLMVrCY9zw0E+OuXRilpsLqxjjs3VGY73LOpiUaHmVPTMVwWI/dtrc52cFqNfHRnB/5EBp1SNKzwiVCd2cDuVfU114QQQoifxEI8w8vDIQxRNzetqu5H8eJQEBQc2Gvk+QE4Px+vCFa8NBAgt+Bk5131bG5z0euzc3QiQjKTx24x8spwmNyCkwNrLh2j1ykaHSYKxggvDZXHYe9dXR0ocduMrG1yMBFOsaXNVbV+kUGvq3m8EG81CVYIIcQ1JFcoLd98NzvLI8oul80XeW0szOhSIGJnt6ci2yGTL/LqaIjT0zG0pW2nZqJ8dEcHTquRTL7Iy8NBzszGsZn0HOhtIJMvcng8wg/OLXDrukaOjIc5NhnFbr40yaJY0njsxCxPnV3gwnyC6Ugaq1HPB7a10HPZzPUHtrfy5Jl5nj7vx6BTvG9zM71NlRkLW9vdtLqtnJqO4ViaCX9lVodBp2NXd/3yvPirdR/3OSwrrgkhhBA/iblYmhaXteaapmk8eWaeqWETf//7bvavqexHUSxpHJuIoFeK9c0OXhgIMOS/lDURS+d59UiRwKP9+D5aBKB3KQPilZEQ92xq5tCRIuHHdqD/ae3yp2ZLm4vnLgQwG3SYDTp212h+aTMZlvtQ3Lu5+arX2VFve8PXQog3mwQrhBDibaBpGoWShlJUjcq8uH5+PsFkOIVeKfo73XgvywTQNI3zcwleHgmSypXfsFye7aBpGufm4rw8XE4H7WmoI5kt8PR5Pya9jt4mB0P+BM9e8JPNl9ja7mJPj5dktsB3jk7z3WPT9Hd5OD4ZJZHJs73TzU2r6jEbytkMBp2OV0dDDC4k0Ci/CTrQ27DcV8KgV3xgWyuHx8OcmYnR7LTwvi3NVb0bfA4Ln9rTxVQkjd1soL5G/S5Ag93MHet9b/i6yog0IYQQ7xRN03j2gp9P3tRVc92fyBJezGFszLLlMxE2b9lGuWdv2Ww0zWQ4RZPLjNmgx2k1MhG81DxzPpYmYgnQ99kS996yDSiXcwAcHg/T3+khXhdk3y8Ocs+BLRXPfcd6Hz845+fMKR29Gyx46mpnF65vdhJN5Wl11w64CPFOkmCFEEL8hOZiaWajGYz6cm+Dizf4F83HMjw/6GchnkUpOLCmge2Xddyej2d4YSDAfDxDnVlPvqAxHlrkozs7cFmNBJNZnjnvZz6eodlp4c4NPkLJHK+MhPiXs/Pc1OPlxaEAE6EULS4LD6xtxee0kC+WeOT4DE+cmad5Msp8PEOT08yd28slFFDusXB/Xys/OLfA8wMBbCY9H97RXvUp0e5V9XQ32Dg1HaPFZanI1rjIZNCxf00De3u8KLVyIEEpRad8QiOEEOIaNx1JsxDL8vwrOW7da6oq8RgPLpItFHnizByxUp6BhVUVfz/PzsSZGjJzy14jW9pc+BxmZqKZ5fUTk1GS2QIHdijcdeVSx01tTjQNXj1UZGt7iJKmcdMuXVVzzF3d9RhjHmYf2cauVWMrXsO6Zgfn5+LSc0m8K70jwQql1EeA/wJsAHZrmnbksrXfAn4WKAK/rmnaU0vb7wX+BNADf61p2n9/u89bCHF9iafzBBezmPV6Wt2WqpvreDrPyyNB5mMZjHodt6/z0ea5dBOfzBQ4OBJkYP7SvPPBhSQP9LVi0OtI5QocHA5yfi5BnUnPnlX1zMUzvDgUxKDXsbHFycvDQY5PRbGZ9NyzsYn1zQ7Cizm+c3Sabx+ZYl2zg1PTMYx6HXdvbGJDswOlFD0NoAGvjoQY9CfRKbh9XSNb2lzL12HU63igr43jUxFOT8fY1OrktnWNVZkdLS4rn9rTxXQkTX2diTpz7T8NPoeFuza8cUnFlaUpQgghxPVoyJ9gdtTM//pver73WGWJB8BEKMULAwFi6TwAZ2fjFcGK7zydIPBIP+03BblrYxPfOTrNsxf8lEoldDodB4eD5Bac3PzApX4ULqsJQ9TDs99dg9NanmS1q0bfJU+dia1bIZU9xoGbVs5UrK8zsemK5tNCvFu8U5kVZ4CHgL+8fKNSaiPwcWAT0Ao8rZRau7T8F8DdwDRwWCn1uKZp596+UxZCvFsUSxpT4RSNDnPNG+tsochkKMV8PEMqV2Rvj7ei+WKuUOLQeJjjkxFKSyWe29pd3Lq2EaUUhWKJIxMRjixNqehprGMhnuXxk7N8aEcbjfZyY8eXR4KUNNjdXU9fh5uJ0CJPnVvgsROzbGp1cnA4SDpfZEeXh93d9ZgMOgqlEo+fmOXZC35eHg6SLZTY2uZi3xrvckaG127mwe1tvDgU5NhklBaXhfdvaam61t3d9az12TkzG6enoa5mCqfJoOOmVV5uWnX1xlhKKalHFUIIIS6zEM/Q5KwdpNc0jSPjYZ5emOIz/0mxbVtnxXomX+S5gQAnTyp29rs4NROr+HAjnskTMPhp+tA8H3vPJgB6fHU8ebbEmdk4W9vdvHK4SOixHVg+Uax47I2bS8BxErYSxoRiX43mlx6bif4uN/7EPLevb6xav1x/V3U/CyHeDVYMViil/l7TtE8ppf6Vpml/8mY+qaZp55ee48ql+4FvaJqWBcaUUsPA7qW1YU3TRpeO+8bSvhKsEOIaUippLCQyNNjNy70Orly/sJDg/GycTq+N/k7P8vQJKAcpzs/HOTQWJpEpYNLruLm3YbmDtaZpnJ6J8dpomHS+iF4plCqXYXxkZzs2k4GhhQQvDAZYzBXZ0OJgS5uLwfkkJ6ajQDkd8ulzfsKpHGt9dvb3NuC0GElk8nzryDTfPDyFz2FhPp6hy2vj9nU+XEuBkPUtToqaxktDQZ46t4DLauTjfW3LJRdQ7v1wf18bAwsJzs7G2NzqWq4/vZzPaeHDO9qJpHI4LcaK1+FybpuJm9c0/Nj/TYS4HryV71mEEDemUknj+QE/H9vVWXN9IZ7l2GSUaDrPmDaLpnVU3NtMhVO89FqO0GM7WLPLz6Axwdhl/SgWYhkmwousXm9cHhu6vtmBpsE3n4zT9nEbUUuAfb84wD23VPajONDbwOmZEQb8OpqclpoBFb1OsaPTQ53JwLrmq2dO1HpPJsS7wdUyK3YopVqBn1FKfZXLu8EAmqaF34LzaQNeu+zf00vbAKau2H7TW/D8QogaSiWNYDJLg91cM8W/VNIYWEgwuJCg1+dgQ4uj4g92SdMYnE/w+niYaCqPw2LgjnU+uhvqgHKQYWAhweujYaLpPHazgemREEMLSR7qb8Ni1DMXS/PU2QVi6TxNTjP7Vns5Nxvn2Qt+iiWNLq+N5wcCTIZTtLmt7Ompp8VlZSGe4ZHjM3z90CStLitD/iQ+h5n7trbS7Cr/cW92WihqGienY5ycjmE16nmgr5Uub93yNTgsRj62s4PDE2EuzCXY2+NlV3f1lIpNrS7W+OyMBRfp9tbVrAHV6xQbW5xsrBGkuJLHVrsBpRCiwjvxnkUIcR2biqSYiWQ4+Hqe/buN1f0oQovLkzvGgovE0nk8lzWNPjcXJ1EX4vZfHaZ9jQVPzMRUOLW8fmIqhn/cyq7brMvHbW51kfc7+fOv+OjwxClqGv39Coel8pbt1rWNfPGFUZIzdm7ab1qxR9TaZgdTkRT2Fco7hXi3u9r/uV8EngF6gKNU/uHXlravSCn1NFBrBs5va5r22I94nj80pdQvAL8A0NlZOxIqxI2iUCwRWszR6DCjq/GH7GKmwlhgkQ0tTlY31lUGGZaCEK+PhYml83jrTNy5wbfcfHE5yDBWDkKYDTrGQykGFxLct7UFg17HfCzDD84tEE7l8NpN3La2kdMzMR4/Nct9W1podJh5fiDAaHCRBruJ+7a20NNQx0hgkSfPzPPYiVk8dUYuzCdwmA18YFsLq7zl81zrc/DEmTleGAwA5SDAHet8bG5zLl9Hq9vKh/rbOTgcZMifpK/Dzc1rGioyFZRS3LHex9Z2F4MLCba0uXBYjFzJbjFw+zofty2Vi6zEbNCz/g0+xRBCvKl+ovcsQghxpcGFJLOjZj7x33T8U41+FIfHQoSSOWwmPfOxDM+8nOVDd19qsvnycBClyse111vpaazj9HRs+fhHn0kSeKSfjlujy9u6vXVYmhOs/9kLjGnlbIfdNfpRtLqtNGZ9HHtkA54dCyteQ7e3jg6PlHiKa9eKwQpN0/4U+FOl1P/TNO2Xf9QH1jTtrh/jfGaAjsv+3b60jatsv/J5vwR8CWDnzp1arX2EeLdL54tk80XqzIaaqXm5QolTM1Gmw2m2trtY1VAZZCgUS5ydjXNkIkIyW8DnMHPneh++pTTB0tKYy8NjYeKZAiaDjtHgImub7LxnYzM6nWImkubpCwtEU3ka7WYOrGngxHSUh4/N8OD2NhwWA89e8DMeSuG1m3j/lhZ6Gus4NR3jhcEA3z89h91s4OxcHLvZwPs2N7PGZ0cpxYYWJw8fn+Z7p+fQNNArxS29DfR1uJevY43Pzr2bm3ni9BzhxRybWp3cvKahYtKGTqe4d1Mzr46GsJsN9Poc2C3Vv9aaXeWSilSuUDVK83INdjMN9tqjvS4n4zKFeHf5Sd+zCCFuPPOxzHKG5ZVKJY2jE2FeCM7wi79nZNu21or1TL7IKyMhAG5e08D3nkvzy5+1sOaJcnCiUCxxciqGCrlp91i5d3Mzp6aivDwcYjaaotVtY0Y3T8/HIzxw58blx9XpFO0eK8l8kIEFKwadYk+NfhReu4ndO3VMR4/x0F3rVrxGvU5xU8/Ve1YJ8W72hjlBb/Mf/ceBryul/hflBpu9wCHKn5D0KqVWUQ5SfBz4qbfxvIR4Q5qmEVrMkc2X8NQZa94UhxdzHJ2IkMkXaXZZ2NlVWUaQLRR5bSTMyekoGmA1lsdI1i+lBxaKJU5MRTk2GSWdL2I16vmnU3NsaHZw98YmlFKMBJI8PxAgmS3Q6rawvdPNsckI3z02w4d2tGHU63jmvJ+ZaBqfw8xt63x01ts4OhHh1dEQmjaPQa84P5fAZTUuZzoopVjf4uDbR6d5+NgMRU1Dr1PcuraRbe2XJlD0dbgBeGEwgEGn2NDs5JbeBsyXlUOYDDru39bGi0MBPDYTa5vsuGuUO6zx2fnc/m5sJsOKPRsMeh0Heq/eOOqiqwUqhBDXPglUCCF+GIViiRcGV+5HMRfPcGwiSiCZZVSbplxldslEKMVIYJEWl4Vt7S6ebvaz55cG2LZtM1AeST5wTof/kX7aP1bCaTGytqncj+Ifvh/nZ+83MBNNsWGzga6GysyH3d31fOfYNJl8EZ/TTIe7OjPCZjKwf00DbR4r29+gOWZ9nZSTimvXOzW69EHgz4BG4PtKqROapr1H07SzSqlvUW6cWQB+VdO04tIxnweeojy69Muapp19J85dXH8KxRJjwUWyxRJtLmtFveFFo4EkxyejZAslOuqt3LymoSLIEEnleGEwwESoXItoMer4cH873qVP6RezBY5ORDg5HcWg01Fn1jMaXCSdL3JgTQMlDY5NRjg6ESFbKLGlzUWT08zLwyEeOT7D+7e0oBQ8dXaeSCpPl9fGTavq8TksHBoLc2g8TKGkUdI0RgKLNDrM3LOxiXaPFaUUvT77cnPIkgamK8ZgQjnNsKhpHBoLY9Lr2NLm4uY1DZgMlzI7bCYDD/a18dJwkEa7ecUgQ1+Hm856G06LAcMKTZusJj3v2VSrUqxSrXIMIYQQQogf13hokblYhsVsoeZUsbFAkiF/eXLHSGCRRCZf8X7k7GyMhXiWDeYOblnr4x8PT7Gg+ZdLQF4dDaHVx3jg301w/53rAdjY6iTvd/KH/9aD0xInX9RY3WhfbtJ90R3rG/n20WmCEzY27zOuOA68t8lBJJWvOl6I68k7EqzQNO0R4JEV1v4A+IMa258AnniLT028S2iaRiydJ1/UqK8z1fxUPbyY4/xcnHyxxOpGe9XYxXyxxJHxCKdmouQLGj2NdbxnU/PyY2maxnAgycGhIPFMASjfxD+4vW05LXAulub10TAT4RQuqxGH2cCxySi5Qonb1/vI5IscHApyYT6BUa/j5jUNeGxGnr3g5+HjM9y9oYlktsALgwGKJY0NLU72r/FiNep5YTDA8ckogUSWfLHEQjxLt9fG3tVefI7y8/scFh49McM3j0yhgDqzoarx497VXooljaOTEWwmPbu769m9qr7iNXNYjDzU38ZroyGanBZ6ffaaQYA9q8qjMN222q85gNNq5P1bWt7wv6FE8oUQQgjxbjQ4n2R62MzkplTNiVyvjYZZGLPibCsxE0njj2cr3jcdHA6S9zs59OR6Cg8aaXZaylmxmoZSiiPjEZSCD9xhWw5gbGxxYvTF2fPzA8wsfZCzq7s6K2JtsxPHopeBR7ZQ3z+/4jWsbbIzEVpccV2I64HkRIsfSa5QoljSsJqqJxwAJDMFxkKLFJYCCM4ror0lTePM0pzpfEljU6uTbe3uin388QwvDAaYjWUA8DnMPLS9bbmMYDFb4MhEhFNLoyZ1SnF6JrbUM8FOoVTi1HSMY5MRFrNFVjfWYTXqOTMbp1ia455NTYSSOZ4d8BNK5qivM3F/Xyt1JgPfPz3HIydm2L/aSyCZ5cxMHKtRz4HeBra1u9EpeGUkxJGJCLOxDJl8kWyhRF+nuzweaik677aZePzkLI+dnAWgw2Pl9vW+iskOt65txGMz8fpYmKKm8b4tzfT6HBWvRaPDzGf2dnNyupzVsavLU1FOcdH+NV62trtwWAwr9lPw2Ey8d/PVgwxKqeVsECGEEEKIa9FUOFX1IdZFhWKJx59L8ZXfbaHBHmPDT1cGKxazBf7lpQyBR/rZ/YUxTqQmeG00xOql8aL5YokzM3Fc7Sl+/4tJ+vrqWT1i58hEhJlomnaPjfNzcWwmPTs63cuPazMb8NpNpC0hTs+YMOgU+1ZXjx732Iz09SnCi8f44B29K16jw2JkW4d7xXUhrgcSrLgORFI5zAbdivX46XyRc7NxLEYd65udNT8xT2YLjPiTTIRTbGkrN2y8XDCZ5aWhIJNLI5fWNzu4e0PTcmpaJl/kxFSUoxMRCqVyX9OjExE+1N+Op85EqaQx6E9wZDxSnk5hN6MUPD8QIF8ssaPTQ3gxx8HhIOOh1HKAQK8ULw4FePj4DHeu9zEeSnFoLExJ09jY6mTfai96pXj4+AzfPz3HplYXc7E0wWSOdo+V927y0uYpT67w2s28MBjgKy+PkyuUcFgMvGdjE2ubHMvX8VB/G0+dmee5gfJ0iR2dHnavqq8ohdi32ovPYebV0dDSiMs2Gh2VN/j1dSY+taeLc3NxSiWNrZf1dLhIKcW2DjebWp0US1rNIASU+zvs6q7uBH3lY10ZGBJCCCGEuNFk8kUODgf5xO7a/SimI2nm9PN4759lrGQFKj/IGQ8tEjT52fTpLLfucXPiWfjec2l+6iZQCmaiKSZCi/Q01vGB28uZE5taywGPMzMxNA0mwymanRY6vZXvp7d3unnugr/c/NxprhlQqa8zcaC3gUZHouYkkMutbrT/CK+MENceCVb8GEolbcX6MSiPg5yOpPDYTCveQAaTWc7NxnHbjGxsdWLQVdb1ZwtFzs7GOTMTw2kxclNP/fK4SCiXMEyGUxydiDAVSWPQlW989/Z4l4MR8XSeY5MRzs7GlwMIR8YjfLCvFY/NhLY0EeLsbJy5pSwGo14xEVrk3k3N9DY5CCSyvDYaYjS4iNmgY3d3PdlCkZPTMfLFEreubeT8fIIj4+Gl2rs69vaUyxIePTHLt49Os6PLw5A/wUI8S32daXkqhKbBk2fneXk4xMB8gkgqj1Gv2NvjZVu7a/nm3WE18C9nF/jHw1MA9Prs7FvtreiV8ND2Ng4OBzkzG8Ni0POBbS30NFT+Au/rcNPqsvD6WBirqRwMuXyyBIDTYuTDO9qZDKcw6nW0uq1cSSlFb5ODNUsR9pUyGfQ6xZY2V821yxn0Ogy14xRCCCGEEOJHMOxPshDPrDgBbCSYZCSQxNRUYMhfJJ0rVmQMn5qOEU7lOLBV486NPr78eIRH/6qLk+8tT/p4ZThEtlBifbNjecrarqWgwoW5BIFElmgqz55VXixXfBB1a28jz5wvZ/ZeOUb9onJDcydFTavZF0yIG4kEK34EgwsJvn1kipPTUdo9Nu7a4KuoX8vki5yZiXFyOkYyWyhHWluc3LqucTkYMRVOcWQiwmQ4hVKgaeUMhAe2t+GxmcgVShweD3NqOkauWKLFZcGfyPKtI9Pcs7GJDS1O5mJpnh8I4E9kqTPp2bvaS2RpykQslWf/Gi8D8wkOT0TQNI11zQ76Oz3E03mePu/n4WMzbO90M7SQZD6ewVtnYk9PPWsa7dgtBh47McsTZ+ZpmYqyEM9g0peDFH2dbqxLv3SdViMvDwcZCZRr5VY31nHTKm9FhsGHd7TzzIUFDg4HsRh03LupmbVN9uWbe6Xg3s3NdM3FOTQWpttr4471vqo/LD0Ndj67z8rJ6ejS5IjKUgkAs1HPnRua2LWqHpNeV/XH4SKf08IHrhg/dSWlVEVPiKvtJ4QQQggh3j0GFxJL/SjSrG+pfs/48mCQ8KQNV/si05E0gWSGzvpL7/teGQ4CsK3DxaZWF91r86Q+dIxt2/YD5Q/+NA1aCy1oWvn97LomB3qd4tRMDIfZQG7BSf97q/tR9He5sZsNhCdtbDhQ3SvjorVNdgKJ7E/6UghxzZNgxY/gm4enODMbo7fJwWggyT+8Nklfhxuf00wslef1sTC5Yol2j5VbehuYiaY5OR1jMVdkc6uTs7NxRoOL2JYCDFvaXPjjGZ46u8DDx2ZY02hnKJBgMVtkrc9Of5eHJqeFXKHE907P8oNzCxweDxNJ5bGbDdy1wVdR1tHoMPPSUJDhQBKAtT47N/c2LAdUGuxmHrIa+e6xaV4aCmI3G7hnYxPrL5sIAeUsheNTUY5NROj1Obh1XeNykOKi/k4PPQ11HJuM0u6x1gwg1NeZ+HB/O7OxDG6rsWa3ZZ1SbGot/zG4GotRz02r3nhOtFMmRwghhBBCXLcuzMdZ31z7Rj+TL/L4Mym+/oftNNpjrP/pyven0VSO517NE3i0n93/ptyP4tBYeDlYkckXOTsXx2ExsG91OfNhVWMdp+tniaZyeOpMXFhIYIh6+LPf9nH3pnK2hU6naLSbGQ8uYoh6CDzSj/cTparz89rN+HJNDDzSi+e+9IrX2OKyLmfwCnEjk2DFj+BXb19Di9NCIlsgmsrxzAU/h8bDy+vdXhv7VjcsZxf0NjmorzPx3ECAseAiRr1i/xovfR3u5UyLLm8dD/W38ejxGc7Mxmh2WbhvS8PyNAoo9yz4wNZWnh8IkM4X2djiZGu7u6KPApQDCG6rkWS2QIvLWtVHAcoBi8/u6yZXKGE3127GaNCXeyTs7PJcNXvAbTNxx3rfVV8zpRRtNUophBBCiHcDpZQFeBEwU35f9B1N037nsvU/BX5G0zT70r/NwFeBHUAI+JimaeNv93kLcSOKpsqZxCsFKyZCKeaN8zQ8sMCYZuPKfhSjgSRB0wLbPlvgwB4Hx5+Bx59N8aH+cobEZCjF8Hk9W7baWNtcDnRsbHXy+MlZzszG6Ky3MR1OsWqthT/8eY1t2y49dqvbwlhwEZM1SO8nU7zvtt1V59doN/OeWyzYzWN84j1rr3qtP0wpsRDXOwlW/Ajq60zYzAYS2QJum4kP9beTK5QIL+bQ0Cp6Sly0td1Nk9NCsaTRYDdXBRigHED4mf2rQJUzDWox6nXcvbHpDc+x54dotGM26Kt6NdQiZQ5CCCFuAFngDk3TkkopI3BQKfXPmqa9ppTaCVyZy/2zQETTtDVKqY8DfwR87G0+ZyFuSIMLSQKJ7Ir9KIYWEuWAQVOJIX+RbKFY8Z736ESURLbArq0a92xs5suPRfjO33TyhbvLGRJf++c4c9/p5471MzQsTUfb0VX+FXB+LsHgQoJ4psCBXge7d1a+l+6st3F0Ikreb+X+O001J+cZ9Dq2dbhwWlN47FfvR7HSCHkhbiTVd87iR2Iy6Gh2WWoGKi5qclpodVtrBiou0unUioEKIYQQQrw1tLLk0j+NS1+aUkoP/A/gN6445H7g75a+/w5wp5LovhBviuJSQ/iVDC7ESeeKy9PpLqdpGs8PBEjM2HGYDUxH0oSSuYp9Xh8NAbBrlYcNLQ46enO0f/jEcoZEwDRP44PHeOjOSx/+bW13oYBjkxFOTEYB2L2quh/Fap+dvN9J8NEdrDN2rHgNvU0OfDWyn4UQ1SRYIYQQQogbmlJKr5Q6AfiBH2ia9jrweeBxTdPmrti9DZgC0DStAMSAqqZKSqlfUEodUUodCQQCb+n5C3E9KJU0jk1GVlyPpfIcHArx1y+NcXSier+FeJZXDxcIPLqDtYZ2soUSh8ZCy+vxTJ6BhQTeOhO7uusx6HV0e+vIucOkcwU0TWNoIYmvO82WjkslGGaDHrfNyGggyVwsQ87vZM+qhqrn39zqxOiLc9evDXPr3pWzJrrqbbR7pERaiB+GBCuEEEIIcUPTNK2oaVof0A7sVkrdAnwE+LOf4DG/pGnaTk3TdjY2Nr5JZyrE9Wsmmub8XHzF9dFgkvPzcYqaxsGhYNX6iD9J0ORn18+d58AeI5oGjzy9iKZdWh8dMNJZb6N3qTH8xWkh5+biDPsTzETTtLotVcGEFpeVaCrPhbM6wo/uIDZjq3r+A72NfLCvhTv2m2l1W6rWLzLodfR1ut/o5RBCIMEKIYQQQggANE2LAs8BtwNrgGGl1DhgU0oNL+02A3QAKKUMgItyo00hxE9gyJ8glMyRyORrrp+bizEZSpFbcDIwnyBXqJy28epYiGyxRN82xXs2N2NL1vPtP+rk5Mny+tefiON/uJ+mQjMua3l63I7OcjnHudk4T55dIJUrsqHFiVFfeYvUUW/Dn8iSqAvx4L+fYNeO2v0otnd4cNuMNNqvXubxw/SOE0JIsEIIIYQQNzClVKNSyr30vRW4GziqaVqzpmndmqZ1AylN09YsHfI48Jml7z8MPKtp2tUL7YUQJLOFFdc0TeP8XJzpSIqJUHU/inyxxIuDQbILTsKP7WDkgoFgMlNx/NHxCArYt6aeNT47HavzdH708n4UC/geOsaH777Uj2L7UobD62Mhzs7EyS04uWlVVVUXqxvLo00dFgOfus/NSl1qPHVGdnbXo5PmmEK8KSRYIYQQQogbWQvwnFLqFHCYcs+K711l/78BvEuZFl8AfvNtOEchrmmZfJHDY+EV12djGV4aCvLdYzMcqrHfVDjFhbkENpOe+74wDt4Yr49e6lsRTOYYCSRpcVno6/Bg1Ovo9NrIOsPkiyWKJY3RYJK21dnl0g8Au8WIw2JgNLjIwDk9gUf7cSxW96PY2OJE02CVaqPdXV0CclGry8rm1tpjVYUQPzoJVgghhBDihqVp2ilN07ZrmrZV07TNmqb9Xo197Jd9n9E07SOapq3RNG23pmmjb+8ZC3HtGfYnGQ0urrg+FlhkcD5JbsHJqyPVVVUX5uOMXDAw993trG+2oxS8MnKpb8W5mTjTw2a6vXZWN5Z/XNc3O9CAgfk4p6djzMUytHmstF4xwa/ZaSGymCdqCbDpU2e56+bqEo47N/jY4+rhlb9cS3By5eaYO7o8GPRyeyXEm0V+moQQQgghhBBvmSF/gng6T2QxV3P90HiY+TELgUf6OX5Cq+pHcXA4hL4xzkd+c5LPfrCeepuJ1w4Xl5tn/uNTcQKP9NNWasZqKveD6O9yA3B6Js4Tp2fJFzW2tLmqSjTaPVbm4xki6Rz33GLGaKi+PbKaDNyx38Sv/WGA2/YaV7xOCVQI8eaSnyghhBBCCCHEj22yRp+JizL5IienYrwyEmQ0mKxaj2fyHBoLYfTF2f4z54lYAvjjl/pRZAtFTk1HMRt0fPhuB11eG+aYh0N/vX65eWbQtEDrh4/zocv7UXSUm2e+NBRg2L9IbsHJvp7qEo9VDeV+FG6bkfdsbF7xOjw2Ex+62y79KIR4G0mwQgghhBBCCPFjmY9lOD0TW3F9LLjIa6MhXn69yCvD1SUe48FFhv1J2twWdu/UUdQ0XrmsFGQ+mmE8mKKj3sqG1vKkjg2bNbwPHGXj5hLpXJHJcIrO3hyrfZeCFZ46EzaTnqlwisFzeoKP7sAU81Q9/4YWF7kFJ7u66mn1rFzi0VFvY6P0oxDibSXBCiGEEEIIIcSPZcifYDKcYqWhOEMLCc6f0RF4pJ8fvJStWj82GSWQyOHJ+Ni32osCHn1mcbnE4/WxEMlsgV6fg676cnPLDa0OTL44I4Ekr4wECSSzdHptNDoq+000OS2EFnNErAH6PneO2/aZqp6/rdhE6ondOFMNtLgsK17nrm4PesmqEOJtJcEKIYQQQgghxI9lcCFJJl9k/rLSjYtKJY0Xh4LgjdH0oWOEzH6yhWLFPq8OB8n7nbz2pXXUZ3xYE/U89sddyyUeL4+EyC042b/Gu9wT4mKJx9GJCD84t4CmQX9nddZEq9vKxKCJZLbAA3fV1Szh2LvbyC//wQJbt4HbVh3MuEj6UQjx9pOfOiGEEEIIIURN+WJpxbWFeIbXRkL83avjDPur+1HMxtKcm41jNurY2a9jLp5mNppeXo+mcgwsJGjoSvPHX0xy180W2lbn6PzYCbZtK+9z+GiJ4GM7sCa8y8f1dboBeGEwwFSk3C/jlrWNVc9vS3gJPNKPK9XALb3V/SoAlIKtW+Gmnvo3fC2EEG8vCVYIIYQQQgghqjw/4Ocvnhsmky/WXB8JJDk9EyOayvPSULBqfdifZCSQpKehjtWNdkoavDgYWF4fDy0yHUnT01DH+2+3YdArur11ZJ1hCqUS/kSGmDXIjp85x723XOon0WA3YzXqmY9lmI9lcFmNrG92VD3/PTebaXzwGHfuN9PiXrkfRU9DHeuaqo8XQryzJFghhBBCCCGEqDIaKPeOCK8wcvT4ZGS5/OPkVLRq/eBwkGyhxJpGO/dubsKgU7w+Gl5ef37AT6GksbHVic9Z7hexvsVBSSv3wnjyzDyLuQL923XYLYaKx/Y5zczHMkyEUnjSjdjN1SNF37O5iV98qJ5Or+2q/Sh2dtejlPSjEOLdRoIVQgghhBBCiAqxdJ5YOg9AJFUdrEhmC7w+GkbTwBStZ9ifrMjAyBVKnJiMooA2rZlNrS7cNhOnT6nl5plHxqPk/U5uvayEY/tSicfBoSCvLU0FqVWi0e62EkhmSc05OPvVzcs9Li7ntJposJtp81ixmQzVOyyRxplCvDtJsEIIIYQQQogbzGw0zcvDwRWneEwtTfiIp/PMRqqbZ44FFhnyJ7Envcx+dztzoxaG/Ynl9YV4htHgIu50I//3t5tYGLNgink49NfrOXmy3AvjzClF6NEdFIOu5eO2trsBeGUkxHw8g16nuHlNdb+J7oY6ALZs1fiTv04t97i4kstqZG+Pt/aiEOJdTYIVQgghhBBC3GBeHAxwaCxMIluouX5oLMSXXhzlK6+M86fPDlWtn5iOMhfLsGUrfOY/zWD0xXnuwqV+FCenooQXc2zZCt/+DvT1KbZuBe/9R9mwqcTAfJxEXZD9vzTIPQculWhc7EcRSuaYi2XwOcy0e2xVz7+724su7OamVfXcus/ESlUcm9tcdNRXHy+EePeTYIUQQgghhBA3kGyhyEI8C0B0MV9znxeHgmQKJXwOM5PhVMWapmm8PFxuqLm13cnn7vdgNuo4OR1d3uf5pUaae1d72bNLj1KwqdWJqSnOhfk4j52YpahpHNhrxKCvjDT4nGbGQ4vMRjP48k0Ya4wN9eYaif/TLjILDpoc5hWvdVu7a8U1IcS7mwQrhBBCCCGEuM4srpAxATAbzVBaKv8I1+hHEUxmGQkk8dpN9DTYCYxbSaQvBTXCizmGFhLYzQYack30eO14bEamIpfGkp6bjWM3G9jV7Vne1tfhBuCJ03MMLpRHnd6ypnrkaLvbSiJTgJCL17+0vmY/in27DPzc785x214ThhrBjIukcaYQ1y4JVgghhBBCCHEd+f6pOf76pTGKpdr9KEb8SU5MRXnq7Dz/cna+av3CXJyZSAbnYiPFgJPAI/088szi8vpEKMVkOEV9xscffMHD5LCJRruFsQtGNA0iizmmIymaXRZWN9qXj9vcVs5yODsbZy6Wxm420LfUUPNyF/tR7N9t4C++nKnZj0KnU2zZVs7cEEJcnyRYIYQQQgghxHWiVNIYDy1S0jSiNbImoJzZ8IOXslyYS/DPZ+aq1l8cCpKZd3DsyxtwWo00PniMnPPSyNEXBv3kixp7dup59GHFtm3gSjUw9o2tvH6kwHMDC8TSBVyLDbhtpuXjPHUmbCY94cUcs9EMbW4rHluNkaObmtnQ4qCv080d+1fuR7FvdQOeOlPtRSHENU+CFUIIIYQQQlwnFhIZcoUSUHvkaDpX5LUjRYKP7qBDa2E+lq1YT2YLnJyKYvLF+e3/FebfftyHqSnO4GWTPg6NhdHrFLevb2T7doVScOu+clAjZQ/z7IUAeb+TF7+4tqqEo8lpYWAhQSJTYJWuDaiORGzrcLPJ3IXTYrxqMGLVUgaGEOL6JMEKIYQQQgghrhGnp2M8dmJmxfWpcJpCqcRcLMOzB3NcOZl0NJAkag2w42fO0dmbJzZdx3zs0mjSscAiU+EUPqeZT93nZmObC7fNyJC/3GMinSsyFkzR5DCzrtmxfNzWdjempjjfPz3LbDSNpSnBX/9drqqEo91jpVjScCx6+af/2V2zH8XoBQN/+3st2JJS4iHEjUyCFUIIIYQQQlwjXhsNMRpYJJMv1lx/fsDPn3wrwN9/L8YXfrGuKhjw6miIVK7Ihi0apaCLwCP9PPp0cnn9/FycuViG1Y12mhzlkaItLgszkTSZfJGxYJKFeAZ70lsxUnRzqxOAuViGuViGJpeZe2+zVJVwrG4sZ0PcfbOFv/5qdTADymNOf/OPI3zsPc4f9eURQlxHJFghhBBCCCHENSCUzJJcmvIRXqwu8SgUSzz1QoaFh/uprzOy6uMnK4IBhWKJ10ZDAHR7bezZpaPxwWNkLutHcXA4SEmDTlqWJ2l01tuIpHKMBZO8MhIiu+DkyJc3cu7MpVsJu8WIw2JgMpxiIV4OdpgN+qpz/OjOTva7V9PptXHHzbX7USgFP7s0DlUIceOS3wBCCCGEEEK8C/gTGU5NR1dcv3w0aK1gxXQkTcQWYPNnzrJ2Y5G0I7Q8ohRgMpxiPJTCbjbwid2dfP6OXqzNieV+FKlcgbOzMQxRN1/7r+3LWRlrGu3kixrHJqIcnYhg9MX5n19MVmVFNDstTEfSKKX4wNaWmtcQmbLy1J/0kF1w1AxmXCSNM4UQEqwQQgghxA1LKWVRSh1SSp1USp1VSv3u0va/Wdp2Sin1HaWUfWm7WSn1TaXUsFLqdaVU9zt6AeK68v1Tczw/EKC0wsjRU9NR/uXsPH/3yjjfOjJVtX58MkJ4MceGTSXq60wUShrDlzXGHA4kmAyl8KQaaffY0OsUDQ4Tw0v9KCaXRpJu2KTx1X8sLAcjLo4cPTwRZmA+gafOyIN326uyIjrqy2Uhfe1uNre7al7Dvt1Gfv735vmolHgIId6ABCuEEEIIcSPLAndomrYN6APuVUrtAf6NpmnbNE3bCkwCn1/a/2eBiKZpa4D/DfzRO3DO4joUS+eJpvIUSxqxdL5qXdM0njozz/n5BKl8kUNj4ar1F4eCAHR4bHiWRoaemo4t7/PqSJjkrJ0zf7+JgXPlrIZWlxV/IkswmeW5gfJI0g0tDm7fd6lE4+beBkwGHQPzCWajaTo9toqRpBft6vbgsRnZ0eUhNGGrau4J5RKP99xioadRJnkIIa5OghVCCCGEuGFpZRe7CxqXvjRN0+IAqly0bwUu3nbdD/zd0vffAe5UqlbVvRCV8sUSC/HMiutT4dTy9+EaI0cX4llGA4vYk15WeeuYi1U+1nw8w9BCApNex50bfHx6XxcAF+bLmRW5Qonjk1EszQn+218klrMmuhvqiKXzDMzFOTEVBeDmNQ1c/r+13WykKdfEwHySTKHExrbaWREf7Gvj03u7WZyz87mfNtac9AGwf03Diq+DEEJc9I4EK5RS/0MpdWEptfIRpZT7srXfWkqtHFBKveey7fcubRtWSv3mO3HeQgghhLj+KKX0SqkTgB/4gaZpry9t/wowD6wH/mxp9zZgCkDTtAIQA6rmKyqlfkEpdUQpdSQQCLz1FyHe9b5xaJJHjq88cnQyvMjQQoIXBgK8vtQE83JnZ2NMDpsY+2YfKuwmls6TyFzKwBjxJ5kMp3GmGtm9ysuWNhdWo57zc3EAFuJpRgJJur027r3Vupw10dtkR9Pg0HiEwfkk1ng9G1srSzhOnoQzX91EZr48qnRvT33Na/DYjADcsd/Ed79LzUkfAEa9fF4qhHhj79Rvih8Am5dSKweB3wJQSm0EPg5sAu4F/u/SGwg98BfAe4GNwCeW9hVCCCGE+IlomlbUNK0PaAd2K6U2L23/HNAKnAc+9iM+5pc0TdupadrOxsbGN/uUxTUmmS0QTOZI54qkc7VHjj56fJYnzsxzYjrKYydmq9afu+DH0BjngX87TvfaPLkFJyeXMiEAjk5ECE5YGfraFsYHjSilaHSYOXdGRzZf4rXRMIlMgTU+O61u6/Jxe3u85BacHJ2IMDZoYOJbfUSnbRXPvW0b/O6fxLA0J7AYdOzoqh2ssJkMOCwG9vR46euj5qQPIYT4Yb0jwQpN0/5l6dMIgNcovzmAcmrlNzRNy2qaNgYMA7uXvoY1TRvVNC0HfGNpXyGEEEKIN4WmaVHgOcofmFzcVqT8vuNDS5tmgA4ApZQBcAHVH4OLG85KQQh44xKPYDLLhfkE9TYTHfVWpiOpivXwYo5zc3EMOsVt+0y0FJoJPNLPUy+WS0GKJY1DY2GMvjj/8X9HljMa7MkGzn11M0++mF4eWbqnx4vJcOkWoBR0E3psB4eOlNDqY3zkP0yys7/yFkEpuPOAmc2tTja0OGl2Wmpep6ZBS6EFm8lwlVdKCCF+OO+GHKyfAf556fvl1Mol00vbVtpeRdIuhRBCCPHDUko1XixHVUpZgbuBAaXUmqVtCvggcGHpkMeBzyx9/2HgWU2r1UZQ3Ei+fWSKbxyeXHF9Mpwins5zYT7OiD9ZtX6xcWVHvZV6m5mpYRPF4qX/rUYCSaYiaZpdFu7f3spv/FQTjQ8eI2orN9QMJLIM+ZO0uCx84E7bckbDjn5FwwNHKbgjnJtLoI942N7pqXju/u2Ku39thKwrjFLwwJ11NTMiehrs3LG+ib3u1eh1tW8hTp6EX/8564q9KoQQ4kfxlgUrlFJPK6XO1Pi6/7J9fhsoAF97s55X0i6FEEII8SNoAZ5TSp0CDlMuVf0+8HdKqdPA6aV9fm9p/78BvEqpYeALgPTRusEtZgtMR9LE0wUKxVLNfZ48Pc9fPhLmyTML/MNrE1Xrzw8EKJQ0OuptaCEXc9/p54kXLmVXnJyKEkhkWeOz02g3YzUbaO7JMLI0lvT0TAx/Isvqxjo6PJdKOLa2uzA1xXllJMjweT2z39nO4lzlFI6L0zmUAoNOsXuFfhRWk56838H/+a3GFYMR27Zx1V4VQgjxo3jLcrQ0TbvrautKqc8C9wF3XvaJxHJq5ZL2pW1cZbsQQgghxI9F07RTwPYaS/tX2D8DfOQtPSnxrlMoljCs0BRycqnEo6RpRNN5GuzmivXIYo6XXi8QfGwHqz56ktOnFJp2qZ9DPJPn5HQUNNCF3GzessiRB4+Rd60C6iiVNF4dCaFp0E0bUD6wxWVhIZ7Bn8jw/IAfgP5uD3XmS2/vb1vXiFGvODEVJeda5P1fGGP/7uq2b30dbhwWA06LkWantWr9ojtuNrPub7Ns22arua4U9PWteLgQQvxI3qlpIPcCvwF8UNO0y4vyHgc+rpQyK6VWAb3AIcqfdPQqpVYppUyUm3A+/naftxBCCCGEuLE8dmKGbx2ZXnF9MpyiWNKYj2WYjaar1of8CWLWAHt+foB6u4ljX95QkZkw7E8yFU5hX/Ty2P/s5hbvGkxNcc7MxgAILmYZWEhgidfz5d9tXj6222sjksozNJ/kzEwcFXJz0xWNLxvsZlY11DESWEQpeP9lU0Aut6qxjvu2tHKgfjW6q3TFXOOzc9fNJmmcKYR4W7xTPSv+HHAAP1BKnVBKfRFA07SzwLeAc8CTwK8udeguAJ8HnqLckftbS/sKIYQQQgjxlkhk8owGFgkvZlmpNcnzA36+9OIo3zwytUKJh598qcTmLSW61ubx3n+Urt5LTTbPzsSYj2fYtEXjkYcV9xywYDbolkeODs4nmImm2bxF42vfKC2XWPQ2OSiWNA4OBxk4p2P+4X6yfmfFcyul2NbhRtMg53eyf01DzWtodVnRR9x89ffbrtpvwmU1SvNMIcTb5p2aBrJG07QOTdP6lr5+6bK1P9A0bbWmaes0Tfvny7Y/oWna2qW1P3gnzlsIIYQQQlxfVuozAZdKPPJFjXimULUeWczx6kiYYtCJ1aDnyFGNy2MaiUye45NRANrrbXjrTJia4pyaLmdNaJrGKyMhSiXoVq1s367Q6RRNTgtTkTSpXIFnLvjRNNja4eKWvcblrIY71vsAODIRJu0Ic9evDXPH/soSFICbuuvJB5yEHt1RNZL0Ip1OcWCPkb/4Skb6TQgh3jXeDdNAhBBCCCGEeNs9enyGh4+t3AZtKpxC0zQiqRz+eKZqfcifYGzAwPx3+1FjHbzyl2srMhNGAotMhtP4HGbu3dzMp/Z2AXBqOgpAMJljYD6BIerha/+1ffnYdo+VyGKO0cAip6djmPQ6br4iK2JdkxN70svxyShKwT0HLDXLM9Y1O9m3S8+HfmOSXTv0K17rap+dO/aZpcRDCPGuIXlcQgghhBDihhNN5RgLLmIxrnwD/+JQgMdPzJHMFjDqdfyn+yqbUz53wQ/eGO//N2Pk3TFi5qNs3LQPKD/mudkYs9E0a/RtbGl1UdI0lCpP7wAYCywyEU6xeYuRf/XpItu2lY/raazjlZEQh8fDjAdT2BcbWNPoqHju82d1THyrD8f7D2NqinPL2tpT8Hoa67i5t4FNra6rBiK6vbYVm4gKIcQ7QX4jCSGEEEKI61I6V1xxbSJULvHI5IssZqtLPILJLK8Mh9A0raKHxEWJTJ4TU+Wshr7tiga7CaMvzoWF8jjRUknj5eEQ2QUnx768kbNndJiNeurrTIwFFykUSzxzYYFiSWNzm5Pb910q8djb4wXgpaEgs6NmBr+2hdBk5ZSObdvgV35/AaMvjsdmpLfJXvM668wGmp0Wmp2Wq75WEqgQQrzbyG8lIYQQQghxXdE0ja+/Psn3T8+tuM/k5SUeieoSj8GFcmPL1T47DXYzF87qK/pRDPuTyyUe+9c08N4tzQCcmIoCS1M85hO42xf5k79OLfeCaHNbCSVzTIZTHJuMYNQrbl7TgLos7WHv6gZ0YTeHxsIYfXF+/nfn2b69Mi1CKfjAHTYa7CZ6fY6rNr5c7bPT7Lp6sEIIId5tJFghhBBCCCGuK4FEloV4hvBitua6pmm8NBTgyy+P89VXJ3j4aHXfiucu+MkVNKxxL/qwhzN/t4kTJy5FK87MxJiLpeny2ti/2sutS2UYJ5Yaak4EFxkPLbLGZ+fuy/pJdHltRNM5Tk1HyyUeyQZ6mypLPCYGjSw83E940oZS8FPvc9Ys4Vjts/OxnR3c7FnNCsNKAFjrc+CtM13lFRNCiHcfCVYIIYQQQohrSqFYIpisHYiAS1M8FrNFMvnqUpCFeJZXRkIAGPWKs1eUeMRSeU5Ox8j7nTz9Z6txWY00PHAUd/siAMWSxqsjIUoa3LTKi0Gvw2s3YzfrGfIn0DSNp8/7KZQ0NrY68TkuTenY3uEhM+/k6fN+ZkbNDH19K9GpyikdfX2Kn/rtGYy+OC6rkQ0tlSNJL2p2WkjM1vH//Yb36iNHbUZ0OumcKYS4tkiwQgghhBBCXDMKxRJ/fXCMFwYCK+4zEUpRKJWYjaZZqDHF4/xcjNlIBl+uCY/VzJlTqiIzYdCfYCqcomNNjj/48wQP3l2HqSnOsaWsiUAiy8BCAptRT1OhafnYZpeVQCLHbCzDkfEIWtDFvtWVJR4txWYCj/bz3Ms5jI1xPvc7s+zor3xLrhR88A4bJoOis96G3Vy7xEMpxS17THzlH/IyclQIcd2RYIUQQgghhLhmzETTpHNFwou5muuFYolnL/j5828H+ebhaf7828GqEolnzvvJLDg4+uUN5IZaOfGVjRWZCaenY8zHM6xqtPHzD9Zzx/pyicexyQgAI8Ek46EUvnwT/+nzzuVjO+tthBdznJ6OcuGsDv8j/WghV8Vz37nfTN9nz5O0h1AKPvm+2lM61jc7+PCOdj6xu+Oqr8e6Zgd37JeRo0KI648EK4QQQgghxLtKPJNfce1iiUcyW6hZ4jETTfPCqznmH+4nO9jCX/7npopAhD+R4dxcHEtTgs/951k27o/T8MBRmlelAcgVSrw2GkLTYE+PF71O0eWtw2zQcWG+POnj2fN+iiWNPTv1PPKwWs5q2NLmIjlr5wdn/SzaQ9zyK0Pce0vlFA+TQceeXTqUApfVyMbW2iUeXd46WpxWCLmv2o+i02tDLyUeQojrkAQrhBBCCCHEu0auUOLgUHDF9YlQingmz9nZcoPLK52cipKoC3HbrwzRsSPM5s+crSiRGFpIMhlO0eqxcN/tNm5Z24CpKc7RiXLWxEI8w+BCArvZQGPOh6aVyy2anBYW4hn88QxHJ8KYDTpu7m1g+3a1nNXQobUQeKSfpw9mQMHt+0yYjdVvt3f31KNp4Ew14DAba16nyaCjEHTyW7/quGo/CiGEuF5JsEIIIYQQQrwtppayIq7m9EyMmUh1EAIglSvw1Nl5vvLyOE+f9/Po8dmK9VJJ49kLfpSCbX3Q4DCRrAtWlEgcn4wQTOZY1VDHHet9HFjbAMCRpWDF0EKCyXAKX66J3/7VSyUe7R4r4cUcJ6eiTATTOBYbWHvFFI/33mpl06fPErWVgy23r/PVvI4tbW52OVZx4R+2XDUQcffNFr77HaQfhRDihiTBCiGEEEII8bY4NhnBX6Ph5UXFksbxyciKJR4ToUVOTkVpcVnQ6xSDC4mK9elImiF/EpNBR5PDgqfORDxTWO5vkcoVyo0vNeimFaUU65ocGHSK80sTQZ4+76ekwc17DBUlHptaXaRyRZ4+72dh3MLAP2whNl1X8fx1ZgPbt5cbZHpsK5d49DTWsW+3gT/5q9RVAxEbW53s3KGTfhRCiBuSBCuEEEIIIcRPrFS6SmMFIFsoMhFM8cTz6RV7MJyfixNMZnnugp+RQLJq/dWRMLF0gcZsE26rkYlQZabGhfk4k+EUHR4re1Z7uaW3nDVxeCwMwGw0w5A/iS1Rz1d+r5WTJ8Gg19HoMDMXyxBIZDk+FaXOpGdvj7eixOOuDT5yC05eGgpi9MX5ud+dZ+eO6rfSO7vrgXKzTYeldomH02KkyWXm1n2mqwYipBeFEOJGJsEKIYQQQgjxEzs+FaF4lYDFaGCRyWETv/HL9pqlD5qmcWQ8zImpKCenY3zl8WhFUCNbKPLycJC838lLX+zFGPUwct6wvI+maRweD5PIFOj12dm/poE9q7wAHBovByvOzsaYiabZuhX+8Rul5ayGiyUeRyfCTIVTOBYb6L2ixCPndxJ+bAfjg0Z0Cj59X+0pHju7POxf3cAWS9dVG2P2+hw0Ocwr7yCEEDc4CVYIIYQQQoif2OnpGNORlXtSnJ+L82JoiAO/NEjnmuqxo8P+JP5ElhNTUfJ+J1+6YorHsD/JeGiR+s4UP/M7c7isJka/sZWDr5Unh5RHhsbKJR66NjQNNrU60SmWSzyeOb8AwPYuDwf2GpeDDZvbXCQyBX5wboHwpI2zf7+Z6JSt4vz27zZw++eHMfriNNjNrGuuDGZctNpnp6XYzN/+futV+1Fs63Bh0MtbcSGEWIn8hhRCCCGEEFcVS608ShTK40DDi3n++flMzWyCTL7IweEg/kSWWcM88zX6VhwaD3NmJkYmX6KuJcmWK6Z4nJ+LMxVJ0+W18bP31/Phe+w0PniMpD0EwGw0zeBCEk+6kb/4//k4eRJMRj0N9nKJx0I8w+npOOZYPTu7PBXPfce6conHwaEQRl+cX/tDPzv6K98m63SKO/ebUQq6vDZsJkPN16LBbmbDphJf+Yf8VftRmA36lReFEEJIsEIIIYQQNy6llEUpdUgpdVIpdVYp9btL27+mlBpQSp1RSn1ZKWVc2q6UUn+qlBpWSp1SSvW/s1fw9nhhMMDrh4srljUMLyQ5d0bxH3/NwYkT1TsN+5NcmCs3w5yLZRgNVvajmI2mmYtmODYZpc1tZVWjjaQ9tJz5kC+WeH00TK5QYnObi42tTrZ3ujE1xTkyUS7xODweIZzK0dcH3/qOthwoaPNYCSWzvDwcZHTAwNS3+ygEKhtflkJuQo/tYGrYhEGv+NT73TVLPPb01LOnp573bWm+6uu1rtnBHUuBDSGEED8eCVYIIYQQ4kaWBe7QNG0b0Afcq5TaA3wNWA9sAazAzy3t/16gd+nrF4D/93af8JtNu1pjBZZ6Rbye58MfZsWyhiPjYZ7xD7L9c+doWlWdNXFuNsZIIEmTs9yj4cXBQMX6RCjFwHyCZLbAzi4PDXYzsXSeUDILwHwsw/n5OHqlWEUrmgZb2lzLJR6apvH8gB8F7FntZe8uw3KgYGubm+CEjWfO+8Eb4wNfGOPumy0Vz3/zbgO3/soQRl+cZqeZnsbKKR8XrfbZ2d3tpS7ZeNV+FDu6PNIcUwghfkISrBBCCCHEDUsru/gxv3HpS9M07YmlNQ04BLQv7XM/8NWlpdcAt1Kq5e0/8zfPiakYJ06w4s33aGCRplVZvvBHoZplDQvxDEcmImhAwORfDjBclMoVeHk4RGLGzq7uetxWI0cnIhX7TIYXOTIRptFupstr46ZV5Ykar4yUSzwmwosM+5P48j7+8N/Wc/IkmI16vHYz87EM46EUgwtJml0WtrS5Kh67ixYCj/TzzMtZlIIP3lmHXl8ZSNDrFbfvL0/m6Gm0r1ii0ey0EJmy8h9+ue6q/SisJinxEEKIn5QEK4QQQoi3kNNqpNVtwWSo/Se3xWXhp27q5JdvW82dG3wVa0rBhhYH3jqZGPBWUkrplVInAD/wA03TXr9szQh8CnhyaVMbMHXZ4dNL2658zF9QSh1RSh0JBAJXLr9raJrGIz9I8sCDpRVvvs/PxXluwE/Y4idbKNZYT3D8eDnYEUnl+afnUhWBj7HgIkeOlQg8ugNXqpGeBjsXzupZzBQAKBRLHBwMsjBmZUeXh55GOzdfHDm6NMXj+YEAmXyJXf16vvtdKqZ4+BNZnh/w409kaHVb6W2yV5zffbfX0fvJU6QdYaxGPQfWNNS8zv2rvRzobeC+rSvHnpRS3HmzhYe/q67aj0IIIcRPToIVQgghxI9BpxRb2lzsW+2locb4QZNBx77VXj67r5uP7erkof42jJd9muuwGHjvlmY+tquDJqcFi1HP1nY3B3obMOoVZqOOh7a3c+/mFvmU9i2maVpR07Q+ytkTu5VSmy9b/r/Ai5qmvfQjPuaXNE3bqWnazsbGxjfxbH80wSuyHK40G8vg7kjxX/4kVvPmO5MvcnAoyOmZGEcmwixc0RhT0zQeeybJhX/YTI+ujbzfyX9fyny4aCy4iN/oZ/fPnefD9ziwJrz4H+7nkafLCS1zsQzPvZoj9NgObAkvO7s9bGktl3gMzCcoFEu8NhLCbNCxf42XXTt0yyUeO7o8JLMFXhgIUCyBO9VIo72yxMNrN7Flazn41+q20OapnPJx0Wqfg+0dHgyR+quWeOxe5aG/X0k/CiGEeItJsEIIIcQNx2LU47AYVrzZ8NpNPLC9jU/u6WRDi7NqvaPexidu6uCujU3c1OPloe1tuKzG5fV1zQ4+u6+bm3q8y3XrLS4r9/e10ea20uax8smbuljf7ERdcRI7u+v5uQM9/PSeLjq9tW+qxFtD07Qo8BxwL4BS6neARuALl+02A3Rc9u/2pW3vSs+e95MrlFZcH1xIkMjk0bzRmj8PQwtJzs+Xx36OBharghXTkTQLxgUaHzzGLXuMdPXm6PzoiYrAx4uDQfKlErt26FjbZOeum000PniMrKtcCnJqOkaiLsSdnx/hpp162j225Ske/kSWUzMxJsMpOuptrL1iXOjtS1M8XhsNk/c7eeL/rKrKENHrFNs73ACsa3Ks2Eui1WUhNGnl3/3i1Us8VpoCIoQQ4s0lv22FEEJcN5SC9c0OzAY9gwsJUrnKlHW9TtHf6eGmnnqMeh2np2M8fX5hed1q0nPTqnq2truXb2ju2dhEtlBkNLCIUa+4e2Mz6664YaozG/jYrg5OTccw6hU7u+trnl9HvY2O+jcOQFiMeixGyaZ4OyilGoG8pmlRpZQVuBv4I6XUzwHvAe7UNO3yu/3Hgc8rpb4B3ATENE2be9tPnPKEDKN+5c+dYqk8M9E0o8Ek65urg26apnF4NMzfvTrObWt9PNDXhqfOVLHPyeko507rcLQZSGQKfPupJLt+0bsc2JgMpxj2J+noha3tLgYXErwaDxFL53DbTMRSeU5MRiHo4qZVXurMBvat8WJqOsegP0GptNQYU8G2bRq7Vl0aKdpVX8eRYyX+5ewCsXSBLurp9VX+7GUXnIQf2wH3H8XXneZ/f7NUM0Nk3xovk+EUD2yvqthZppTi3lusfGSnlHgIIcS7gWRWCCGEeFcwGXRXvUFvsJv4wLZWPryjnVa3pWq91W3hE7s7uXdzC7ev9/HA9raKPhE9jXV8Zm83N/c2LN/gbWl3cdu6RqwmPU1OCz+9p4vtnZVd/HU6xf19bXxsVwcf3dVRFai4qM5sYO9q74qBCvGu1QI8p5Q6BRym3LPie8AXgSbgVaXUCaXUf17a/wlgFBgG/gr4lXfgnAGqmlReacifQNPgyRcyNcsapsJpTkxHKWlwfj7OS6/nK/aLZ/L807MpZr+znU3mTgi5+H//qaki6+D4ZAR/IsvaJge7V9XT3VAOxp2cigEwGkxy4ZzC/+gOdJFyIGKNz4HLamQssMiroyHOz8UxG3Ssb3XS03ip30QnLUx/u4+nXsiQ9zt59S/XMXyh8nO2AzcZuP3zwxh9cbq8Nm7fZ6qZIbLa52CNz0F2wXnVEo9dqzz09SElHkII8S4gmRVCCCHeUnqdYl2zA4NOcX4uTr5Yeadg0JUzEXZ1ezDodbw4GKi4CbMY9exeVU9fx6Vsh/sdbXz7yBTBZA6jXnHnhqaqco0mp4WP7GjnyEQEj83Enp76qpILgO2dnuXpAYarfErd6rb+2K+BePfSNO0UsL3G9prvkZamg/zqW31ebySTL3J0IsLOLs+K/9+eno7xjSfjDH+9i/2rS+zaWbnfubk4Q/5y34iJQRO/+H/NdP4T9PWV10f8ScJmP+0fCbNnZyNhS5ER3VG2bt0HKHKFEi8Ph8gtONlyq4s2t5X+Lg//eGiKs7Mxbl3XyMvDQZQ3zge+MM77b+sFyr8TWt0WJsOLHB4PMx1J0+a2Lk8AueiT73PxjcPHGCeOrUXxv7+SZdu2yswPo0HHPQfMXHgG+pZKPWppdVkIT1r59T+00vHwpWu8kmQ0CSHEu4cEK4QQQqyozlx+476YrZ4AAJRvMHrq0SnFcwN+QslcxXpnvY3b1jXitZcbUK5qqOOfTs5RWvpoc22Tg5t7Gyr6PRzobUADTk1F8TnN3Le1lTpz5Z8ri1HPT93UxeBCAm+dCZ+zOtMCwOe08L4tbzxV8mpBCiHejYb9SbL5Es+8nOWeA9aqTIDwYo5XR0MsGBfY8lk9ravXA5cCbvliicPjYWaGzfT1mTmrxbn9X42wbdu65X2G/AnGQots3upk3xovJ6ajDNUHmIulafPYmImmOXFCI/zYDlwfSKPTKfav9qJT5V4YgUSWV0dCKAXvv82K3XLp57irvo6hhSTxdJ5oOs+uVfWsvaLEo9Nro2ddnqkItLgt3H+nrWbGw009Xj6dyvOBbVef4vHBO+v4sJR4CCHENUOCFUIIcQOymvRsbHGiASenohRLldkOFqOeA70NbGotZyv8y7kFzs3Gl9cdFgP7VjewocWxnK3wwPY2vnV4ikSmgMWo5+6NTazxVY4Q7Gm08+D2Ng6Ph+luqGNHl4crKaW4dW0ju7o9mPS6FQMJep2q2fxSiBvB4EKc1w4X+J9/aeL7j1dnCpyfizO4kEApCJgWCCZX0ea5FKwYDSzyyqECgUf66eybZ96eYVybQ6lysKJU0nhpKEihpLGu2c7mNhfrmu28MBjgxHSUNo+NYxMRUo4wd/3aCPfeshqAVrcNj83EaHCRJ07PMRFO0WA30X/Fz/oaXx1PntU4N5sgt+Bk731edFc0vvTYTKxutDMVSbO60b5i1sPqRjsuq4nIVB1a18olHNs73UjihBBCXDskWCGEENcQpaDZaSFf0ggmqkcSKgWbWl30d7opljS+f3qOaCpfsb6xxcnNvQ3LHe2bnRb++cwcmlZe7+tws6fHW3FjcPeGJvRKcW6uXBd+7+ZmzIbKd/1Oi5FP7+3mwnycDo+tqlHfRZ1e2w815UI67guxsldGQrwen+GeXzewbdvaijVN0zg2EWHovIGGLiOxdJ7XRkNsu6xMYiyYZMGwwPqfTnPrnhb8R22cnI5RKJYw6HX4E1nOTMfRR9zs7KqnzmzgplVevvTiGOdm49y7qYUXhwIoBXt36+n0XgqEtHusTEXS+BMZ5mIZtrW7qgKXG5YCoS+9nif02A7cP1U9sUSvU+zvbeDEVJQe1bb8O+pKPoeZxGwdv/h7Zh6+SonH1ZqRCiGEePeRd4JCCPE20SmFhrZic7cWl4XNbS6yhRKvDJc/0bxco8PMnRt8tLisaJrGU2cXOD93Kduh1W3hQG9jRW+Fh7a38+2j5WwHj83I+7a24HNUlkysa3ZgMeo4NhlhS5uLNb7qBpI6neKujU3sXe3FZtLX7P0A5SaZW9vdP+QrIoT4cV2YW8qaMC8AvcCln8mpcJrnX8nhf7if239rmlczIzz2zCK/cMulm/3DYxHmxyzcfUBx2/pGXhoKcKwUZWAhwabW8lSPofN6Io/3ox4sAHDTqnoMOsWwP8mLgwEG5hNYjXr2rfZW/E7o8to4PRNjJpIhPeegb6+7Kiti29LvCbMvwU//9gzvuWVVzevc3uHmrqZ1/NXvNPPBvtqBCKUUH32Pg/v7pMRDCCGuJxKsEEKIn5DDYmB1o53FXIGhhWTVutWk55beRja2Osnki3zryFRFb4c6s549PV62tLmW3/A7LQa+f7qc7WAy6LhtXSMbW5zL60op7tnYhNWk58xMjO2dbvb2eKuCCC6bkc/u62bIn2RVQ92KadRd3jq6vHVveK1X9o4QQrz9coXScmPMqXCaQDJbEYQcCSYJmP10fizGTTsbGfq+j2f+cg0nHyrf7EcWczz7So7Ao/207A3S4rKyrcPNE2fmOTkVZVOrixcHA+gb4zz0G5Pcd3u5xMNuMeJzmhlaSC5lbujpWWtlQ4ur4vx6mxwUS3P88+MGAk/003p/dRZYm9vK6sY6nIsN3LLXuOLvlp5GO609Qb7+zRLbtq1cw7G+2YF64/Y0QgghriHyrlMIccMyGXS0uCwsZgsEr2gMCZemVKxrdpDMFPinU7PkCpdSlfU6xbaOcpDg4ojM5wb8nJiMAuVMiv4uN7u665eDBBajnge3t/H4yVn88Sy9TXbu3thUVVLR2+TgE1Yjp6Zj7OjyUF+jpEKnK/d22L/ae9UGkQa9Tno7CHEdOTgUJDFjZ9XaPDOxNGdmYtyx/lKw4txsjKlwih19Zg6sbeSVkRBT9x+lq/cmwMRYcJF5wzx9ny3wvtu6ALh5TQMAF+YTjASSHJ2MYNArPnCHtSKQ0O6xcX4uzsA5PZPf7GPnb0zS7KrM1trc6iTvdzLz/VX0f2ia+27vqroGpRT3Nq/nj/5dPe/dkljxWuvrTHR5bRzYYVxxn4uPJ4QQ4voiwQohxDVHqfIYyYVYpqpU4uJ6l9dGs9OKQa94eThYVXqxtsnBresasZsNFIolHjk+w3QkXbG+f40Xt60cJKivM/HBba08frIcsGh1W7h3UwsuW+Ub6NvWNuKxmTg7G+OW3kY66qt7MzgsRj55UxfzsUzVm/zLNTkt3L1x5fWLZJKFEDeWv/1ehOCjO7jrt6aYYZiXh0Pcsb4JgEQmz6vDYbILTrbsc7G51ckan51XmyY4OR3ltnU+Dg4HSeeL3LZDsbapXPa1ocVJnUnPhbk4T52dZyqcosVlYUubu+K5exrqODQWZrEtROODczxwZ3UgYluHG5MvzsZPn+GnH6jH5zDXvI7t2xWf/Z05bt9XX3P9opt7G36MV0kIIcS1ToIVQoi3VYPdVDOL4aKexjq2tLk4Oxtn2F9dUtHTWMe+1Q00OsxEFnM8cWYOf/xSinG7x8rt63002C+9OTbpdTx7wQ+A127i7o1NtLgu9XUw6HV8sK+VFweDDPkT3Lm+iXXN1X0bOupt/OzNqxj2J9nQ4kSvq/4kTylFX4ebvssa2a3kaoEKIYRYyT0HLAR/bYT77/TwyncVxycj+OMZfE4LE6FFjp4oEX5sB973LWLQ69jV7eHvX5vgzGyM7R0eDo2FgXIGxMXfQzqdotllYTKcJpzMMTti4fZ95Wkcl7v4u/G1sRCtq43sWlU90ae+zswn93RSZzLQ5bVVTflY3s9u4uabClXNN6/UtMJoYiGEENc3CVYIIX4obpuxYqrElbobbGxocXJyKspsNFO13uW1sW91A80uC9ORFE+emSeRKSyvt7gs3LqucTmI0NNo58h4mJeGgkC5r8M9G5vpbrjUV8FTZ+Kh7e1868gU2UKR7Z0ednZ5qtKBt3W4aXFbGF5IsrO7frlk43JmQ3nU5h3rfTWDEBdZjHo2t7lWXBdCiLfaT+/pIpEZ4fb1PlqWAgx/8q0A/+ZjPg6NhUnZw9zz66O855ZuAA6sbUSnyk05Hzs5y5lTigafmR3dlRkNnV4brwyHOHkSAo/007E3VPX7ckurC02DvN/Be+/z0O6pPdlnZ7eH8WBqxXWAdre13GtCSjiEEELUIMEKIa5jSoHbaiSyQpBBKVjVUMfaJgdHJyIEaozCXNVQx54eL80uC8P+JE+fXyCdKy6vt7gs3LL20gSKdU0Onh8IcGIqCoDNVA4C9Fz26Vy7x8aH+stBhkJJo7/Tw02r6qs+ffv/s3ff4W2d58H/vw8GF7i3SEqilmUNS7Isr3jGiR3bWU6dplnNaNO8SZs27dtf+qY7HWmbNm3atGlSdyRxdhqP2I4Tx7HlLcmWZO1JUqS4iUHsDTy/P3AAESQ4RQIc9+e6cInCOTh4cAgQ59znfu57j3EgrZRiy6qKnK0sS4vMvPe61RSZTVMe8DZWlEzogpHLVIEKIYRYLFbXllJrK2JDYzk/fyHC177ShFmN0G92ohS84Xoz6+pTgYKasiJqbUWcHvRiGa3h5Le2cesnz7OlObuWzYb6cvaesdPDAC3vdvErb9k+4XmvaquiLtJI52NXUXrb6KRFe2vKihiwhKfMmmiUjAkhhBBTkGCFEItQkcVEscVEMJogkaMmg0kprlxVwbp6GwcuuHCMCzIoBZsaK7h+fS315cWcG/bx9KnhrOKQq2vLuHVTfeZgcXNTBU+dHOLMUKrQWUWJhTu3NmV1iNjYWE55sYWHDvcBsGdtDde2ZwcZlFLcvrkBs0kZWQiVOYMMNbYiPnjDWkqs5ikDBHvap57LDEwoTimEEMtdutbE7tU17G08xxs/3UX1ahMvHPVTXWrl2vbarHo2rdWlXHQF0S1uGu7r47Yb6ibU3NnaUonW0NdRzFtuLWZ9w8QOQcVWM7/7ngaOXTnMzddPnjVRZ0u1Wq4qnbowphBCCDGZggQrlFJ/BbwTSAIjwEe01gMqdVn0X4B7gaBx/2HjMR8G/sTYxF9rrb+Z/5ELMbWKEgu2YgsOXyRn4ccSq5lr22uoLLVyot9DjzOYtdykFFe1VfKGDfWUWM102f08cWwwK2CxubmCN2y4VPhxY0M5Pzk+mKnvUGsr4i3bmrPqIVzRVEGp1cyjr/djtZi4fl0tV6/JnmdsMinu2tZMidVMRYmF7a1VOa+YNVeV8Ks3rsVWZJk0yKCU4tYrGqbdX9IGUwgh5qbdCCTftLGeLz1zjtFSO0ndSL87xJbmygkdgNrrbRzt83D4dU1xk5c7tlw5YZu719QQs1fifnwPq29xTghmpNWWF9G6wc/auskLX25ursg55U4IIYSYqUKdKfyD1vpPAZRSvwP8GfAJ4B5gk3G7HvgqcL1Sqhb4c2APoIFDSqnHtNajhRi8WH7W1JZhKzbTaQ9kZR+k1ZcXceOGOmzFFl7rHqVzXOHHEquZ69fXsqutGpNJ0e0I8NjRgUyQwWJSXNVWxXXrajNZBuvqbTw6pgPFxsZybt5YT82YFpXrG8p5645V7D0zQiKpedOWpgkptSaT4p7tzbzU4aDOVsyVqyqw5ugOsbq2jI/c1E55sWXS6RJmk+KNVzZOu78qS+RKmRBCFFI6ELCxqZydbdUc6XUTjiUIDFRw5a6KzNS8tM1NFUSHK9n/yGZu+HiqPfJ47fU2fvOX6nFdO8xN100+RaO2rIhNTeVZmXeTjU8IIYSYq4IEK7TW3jH/tZEKQEAq2+JBrbUG9iulqpVSq4Dbgae11i4ApdTTwN3A9/I3apFvtmIzRWbTpPUWSqxmdrRVUWI1cbjHjT8Sn7DOllUV3Li+npIiEy+cc3Ci35O1vKmyhFs21WfaS/a7Qzz6en8mYFFZauW69lq2tVRmpjq89aoSfnJ8kM4RPyaluLa9hmvaa7KmIrTX23jX1a08d3YEi9nEPdubM5kQaVazift3t3F6yIvWTFq0cUNDOe11NmKJ5KRzgy1mE7dvnj7IUCFBBiGEWFaqSq289apmIrEER48q7I/sZv3bQhPW295aibXxLJs/eJx331U3aTvRTU02BorDrKmbfApee72Na8ondgERQggh5lPBcrCVUp8HPgR4gDcad7cCvWNW6zPum+z+XNv9OPBxgDVr1szvoAVmk8JsUjmzDwCsZsXGxnIsJhOnBr056y2sqS3jmrU1FFlS7STHF3UsL7Zw44Y6trVUopTi1QsuXu5wZJYXWUxsa6nk+nV1lBalTt7X1Zfzo0O9BCKpwo8bGsu5YX1tVkHFN29pxGpWHO31UFZk5o4tjRNasrVWl/KePat5ucNBebGF2zY3TMhSMJsU79jZQrcjQJHFNOHqVdrq2jI+eMNaknryoo0mk2Jby/SdJVL7XeoyCCGEmKi1pow3b2lCqRE89We49/YtE9a5YV0dt11Rz6amCtY32CbNsKspK8IXjrOufvKsicm+94QQQoj5tGDBCqXUL4DmHIv+WGv9Y631HwN/rJT6Q+BTpKZ5XDat9QPAAwB79uyZeKa8DJUXW4jEE8QSuV+u2aS4srkCfyQ+oUZCWpHFxPp6G6try9jX6ZyQpVBWZOaG9XVcZVz9/9nJIc4ahRjTz7G5uYIbN9Rlpgi019t48vilegttNaVc216b1Xry/t1t/PhIP4OeMMVWEzdvrGfrqsqsomCpqRNmXul00FRZwpu3NE2odVBrK+JXb2jntW4XjZXFXDmuwjmkCz82sqOtmlKrORPoGK+hopj7rs4ZC8vSPsWB3NjnNEtzCSGEEAuotbqUs0M+7tzahPUqRWvNxGBCkdXM7Zsb8YRirKmdvDBmQ0UxO1dXT5rJJ4QQQuTLggUrtNZvnuGq3wGeJBWs6AdWj1nWZtzXT2oqyNj7n7vsQc6RSSmSeuo4yKqqElzBKJFY7gyEsiIzV7VVYfdF6LIHJixXKlXD4Jq1NTj9UfZ3OfGFswMI9eVFXL2mhi2rKgnFEjx/1s654UsBhCKLiZ1t1excXZVJ/z8/7OOnJ4ayAgjXrK1hTW1ZJkDQWl3Ko0f6cQdjlBaZuXF9HVtbKrMyDO7e1kxVqZXDPaOsqSvjjisbJ0wx2NhYznuvW83+Lhfr6205pzmUFpn5lWtX02n301hZMmkthO2tVVzZXJEVxMi1rZkUday1FU27jhBCCLFUtNfZKLKYiMaTtNaUTprNV1dehD8SzxTnzGWnUXtJCCGEKLRCdQPZpLU+b/z3ncAZ4+fHgE8ppb5PqsCmR2s9qJR6CvgbpVR6guRdwB/mddCGa9bWsLaujJMDXl7pcGR1fDCbUlMgrl5TzaqqUsKxBC+cs3Ny4FKJjlpbEdesrWFz86UiiB0jPn5ybIik1igF21pShRjT7b5WVZWytq6M/z3YhycUo6LEwm1XNGQVxyovtnDvVc2YTdDjDLK2zsbNm+opH5eBkH7MBUeA9npbpvXZWDW2Ij50Yztnhry019lydmwwmRQ3baznmrU1U159aawo4R07W6bcp0opNjZOHMd4UwUqhBBCiJWqqszKO3a28Ojr/VNmTdSUFbG+vnzSLh+ABCqEEEIsGkpPkyGwIE+q1EPAZlKtS3uAT2it+43Wpf9GqnhmEPio1vqg8ZhfA/7I2MTntdZfn+559uzZow8ePLgQLwEApz/CyQEvDn8Eq9nELZvqJxRR1Frz3Fk7rkCUdQ02drZV57zi0Wn34/RHaa8ro7EydwVufyROIBKnvrx40qsmWutJ56EKIYQQaUqpQ1rrPYUex0qw0McjaV12P5WlVurLcxfP9IVjUmhZCCHEojLV8UhBghX5kq+DAyGEEGKpkWBFilKqBHgBKCaVcfojrfWfK6U+BfwusAFo0Fo7jPUV8C/AvaQurHxEa314queQ4xEhhBAit6mORwrWDUQIIYQQYhGIAHdorf1KKSvwklLqp8DLwBNMrJF1D7DJuF0PfNX4VwghhBDzSIIVQgghhFixdCrF1G/812rctNb6dSDX1Mp3Ag8aj9uvlKpWSq3SWg/ma8xCCCHESiAVC4UQQgixoimlzEqpI8AI8LTW+sAUq7cCvWP+32fcJ4QQQoh5JMEKIYQQQqxoWuuE1noXqdbo1ymltl/uNpVSH1dKHVRKHbTb7Zc9RiGEEGKlkWCFEEIIIQSgtXYDe0l1JZtMP7B6zP/bjPvGb+sBrfUerfWehoaGeR2nEEIIsRJIsEIIIYQQK5ZSqkEpVW38XArcCZyZ4iGPAR9SKTcAHqlXIYQQQsw/CVYIIYQQYiVbBexVSh0DXiNVs+IJpdTvKKX6SGVOHFNK/Zex/pNAF9AB/Cfwm4UYtBBCCLHcSTcQIYQQQqxYWutjwNU57v8y8OUc92vgt/IwNCGEEGJFk8wKIYQQQgghhBBCLCoqdYFgeVJK2YGeQo9jnHrAUehBrBCyr/ND9nP+yL7Oj5Wyn9dqraXyYx7I8ciKJ/s6P2Q/54fs5/xZKft60uORZR2sWIyUUge11nsKPY6VQPZ1fsh+zh/Z1/kh+1msBPI+zx/Z1/kh+zk/ZD/nj+xrmQYihBBCCCGEEEKIRUaCFUIIIYQQQgghhFhUJFiRfw8UegAriOzr/JD9nD+yr/ND9rNYCeR9nj+yr/ND9nN+yH7OnxW/r6VmhRBCCCGEEEIIIRYVyawQQgghhBBCCCHEoiLBinmglPofpdSIUurEmPt2KqX2KaWOK6UeV0pVjlm2w1h20lheYtx/jfH/DqXUl5VSqhCvZ7GazX5WSn1AKXVkzC2plNplLJP9PI1Z7murUuqbxv2nlVJ/OOYxdyulzhr7+rOFeC2L2Sz3c5FS6uvG/UeVUrePeYy8p6eglFqtlNqrlDpl/N39tHF/rVLqaaXUeePfGuN+ZezHDqXUMaXU7jHb+rCx/nml1IcL9ZqEyEWOR/JDjkfyR45H8kOOR/JDjkfmQGstt8u8AbcCu4ETY+57DbjN+PnXgL8yfrYAx4Cdxv/rALPx86vADYACfgrcU+jXtphus9nP4x53FdA55v+yn+dxXwPvB75v/FwGdAPtgBnoBNYDRcBRYGuhX9tius1yP/8W8HXj50bgEGAy/i/v6an38ypgt/FzBXAO2Ar8PfBZ4/7PAl8wfr7X2I/K2K8HjPtrgS7j3xrj55pCvz65yS19k+ORxbefxz1OjkcWcF/L8Uje9rMcj8x9P8vxyCxvklkxD7TWLwCucXdfAbxg/Pw0cL/x813AMa31UeOxTq11Qim1CqjUWu/XqXfhg8B9Cz74JWSW+3ms9wHfB5D9PDOz3NcasCmlLEApEAW8wHVAh9a6S2sdJfU7eOdCj30pmeV+3go8azxuBHADe+Q9PT2t9aDW+rDxsw84DbSSej9+01jtm1zab+8EHtQp+4FqYz+/BXhaa+3SWo+S+v3cnb9XIsTU5HgkP+R4JH/keCQ/5HgkP+R4ZPYkWLFwTnLpD+EvA6uNn68AtFLqKaXUYaXUHxj3twJ9Yx7fZ9wnpjbZfh7rV4DvGT/Lfp67yfb1j4AAMAhcBL6otXaR2q+9Yx4v+3pmJtvPR4F3KKUsSql1wDXGMnlPkS+LSAAA0vNJREFUz4JSqh24GjgANGmtB41FQ0CT8fNk7115T4ulSI5H8kOOR/JHjkfyQ45HFpAcj8yMBCsWzq8Bv6mUOkQqzSdq3G8BbgY+YPz7LqXUmwozxGVhsv0MgFLqeiCotT6R68FiVibb19cBCaAFWAf8vlJqfWGGuCxMtp//h9SX0UHgn4FXSO13MUNKqXLgIeB3tdbescuMq0DSHkssR3I8kh9yPJI/cjySH3I8skDkeGTmLIUewHKltT5DKsUSpdQVwFuNRX3AC1prh7HsSVJzxL4NtI3ZRBvQn7cBL1FT7Oe093LpKgak9qns5zmYYl+/H/iZ1joGjCilXgb2kIr4jr2yJPt6Bibbz1rrOPB76fWUUq+Qmus4irynp6WUspI6MPiO1vph4+5hpdQqrfWgkVY5YtzfT+73bj9w+7j7n1vIcQtxueR4JD/keCR/5HgkP+R4ZGHI8cjsSGbFAlFKNRr/moA/Ab5mLHoKuEopVWbMqbsNOGWk/niVUjcYlXM/BPy4AENfUqbYz+n73oMxPxRSc8WQ/TwnU+zri8AdxjIbqQJAZ0gVZtqklFqnlCoidaD2WL7HvdRMtp+Nvxk24+c7gbjWWv52zICxX/4bOK21/qcxix4D0hW0P8yl/fYY8CGjCvcNgMfYz08BdymlaoxK3XcZ9wmxaMnxSH7I8Uj+yPFIfsjxyPyT45E5yHdFz+V4IxUpHwRipK5U/DrwaVJRxnPA3wFqzPofJDUP7ATw92Pu32Pc1wn829jHyG1O+/l2YH+O7ch+nsd9DZQD/2u8p08BnxmznXuN9TuBPy7061pst1nu53bgLKliTL8A1o7Zjrynp97PN5NKqTwGHDFu95LqfvAMcN7Yp7XG+gr4irE/jwN7xmzr14AO4/bRQr82uclt7E2ORxbtfpbjkTzsazkeydt+luORue9nOR6Z5S39phNCCCGEEEIIIYRYFGQaiBBCCCGEEEIIIRYVCVYIIYQQQgghhBBiUZFghRBCCCGEEEIIIRYVCVYIIYQQQgghhBBiUZFghRBCCCGEEEIIIRYVCVYIIYQQQgghhBBiUZFghRBCCCGEEEIIIRYVCVYIIRaUUupapdQxpVSJUsqmlDqplNpe6HEJIYQQYuWQ4xEhlh6ltS70GIQQy5xS6q+BEqAU6NNa/22BhySEEEKIFUaOR4RYWiRYIYRYcEqpIuA1IAy8QWudKPCQhBBCCLHCyPGIEEuLTAMRQuRDHVAOVJC6oiGEEEIIkW9yPCLEEiLBCiFEPvwH8KfAd4AvzOeGlVJ+pdT6GazXrpTSSinLfD6/EEIIkQ+L4ftOKfU9pdR9C7DdW5RSZ+f42I8opV4a8/+p9tOCHY/MB6VUsVLqjFKqIc/PO6P31lKllFpjvEZzocciZkeCFUIsc0qpbqVUyPgjnb79Wx6f/0NATGv9XeDvgGuVUnfMcVvPKaU+NvY+rXW51rprHoYqhBBiiSr0d918W4zfd0qpHcBO4MfG/z+ilEoY+9qrlDqilHrbXLattX5Ra715PsY52X6ar+MRpdTtSqmk8bp9SqmzSqmPjltHK6UCxjoOI8hTPWb5c0qp8Lj3641a6wjwP8BnZzuuGYz7G0bNjgkK/d66XOPei36lVJdS6pPp5Vrri8ZrlGk/S4wEK4RYGd5u/JFO3z6VryfWWj+otb7f+Dmhtb5ea/1svp5fCCHEilGw77qlSin1OaXU52a4+v8BvqOzC97t01qXA9XAfwM/VErVzHIMecl4nOfjkQHjdVcCvwf8p1JqfLBlp7HOeqAG+Ny45Z8a937dZ9z/XeDDSqni6QZhZNF0z/E1FNRMfu9GELJ9hpvcl96XwP3A3yulrr6cMYrCk2CFECuUUuqrSqmHxvz/C0qpZ1TK7UqpPqXUHxlXBLqVUh8Ys26VUupBpZRdKdWjlPoTpZTJWPYRpdRLSqkvKqVGlVIXlFL3jHvsfyulBpVS/Uqpv06n5U31WKXU54FbgH8be8XMuHqx0fj5rUqp140rPL2zOAATQgixTMn33by5B3g+1wKtdZJURkApsEGlpjN8USl1USk1rJT6mlKq1Bh7ep//P6XUEPD19H3p7SmltqhU9oFbpVqMvmPMsjql1GPGa38V2DB2LOP2U6lS6h+N353H2Oel48dvjOWAMk6glVKfNJ53yroWOuVJwAXsmGQdL/AYsHWqbY1Zvw8YBW6YyfrzYdw++4ZS6itKqZ+oVObIAaXUhjHrXqmUelop5VKprJL3jFk26ftSXZqe9OtKqYvAgl240lq/DpwGtox77vTv96NKqdPG6+tSSv2fMeOsV0o9Ybz3XEqpF9OfeZF/suOFWLl+H7jKOGC6Bfh14MNjrpg0A/VAK/Bh4AF16arBvwJVpK4W3AZ8CBibAnk9cNZ4/N8D/62UUsaybwBxYCNwNXAX8LHpHqu1/mPgRS5dich1xSxgjKUaeCvwSbUAc2uFEEIsKfJ9d5mUUjZgnTHeXMstpF6bHzhPaprFFcAuUq+/FfizMQ9pBmqBtcDHx23LCjwO/BxoBH4b+M6Y38lXSHXzWAX8mnGbzBeBa4A3GM/3B0Ayx3r/AESAP1FKbQL+Bvig1jo8xbZRSpmMQEo90DHJOjXAfcD+qbY1zmlSU24K5b3AX5DKCOkAPg+Z98HTpLI/Go31/l0plQ7EzOR9eRupIMJbFmrwSqlrSb3/Dk6yygjwNlKZMR8FvqSU2m0s+32gD2gAmoA/AqR9ZqForeUmN7kt4xvQTergwT3m9hvGsutJXQ3oAd435jG3kzrAso2574ekilKZgSiwdcyy/wM8Z/z8EaBjzLIyUn/km0n90Y8ApWOWvw/YO91jjf8/B3xs3OvTwMZJXvs/A18yfm431rUU+nciN7nJTW5ym9/bVN91xnL5vsv9uM8Bn5vBeq3GNkvG3PcRY9+5AQepk/E3A4rUSeuGMeveCFwYs8+j47Z1O9Bn/HwLMASYxiz/njFWMxADrhyz7G+Al8bvJ1IXZUOkpmPM5D3UbrxHTgN/OMV6t5MKeLiN33EC+N0cvyuvsU4COAO0jln+HBDk0nv18LjHfwf4sxmOuXuGr+8bwF9Psizz3jLW+68xy+4Fzhg//wrw4rjH/gfw57N4X66fyXj1pc91+wzWG/te9BnP86+AmslnAngU+LTx81+SqsuS87Mmt/zeJLNCiJXhPq119ZjbfwJorQ8AXaQOLH447jGjWuvAmP/3AC2krh5Yjf+PXdY65v9D6R+01kHjx3JSV1CswKCRXucm9SXXOIPHTkspdb1Saq9Kpet6gE8Y4xVCCLH85fyuA/m+G/fYJ8aM6bPAZ9P/V0o9McnD3Ma/FePu32/s63qt9Q1a61+QuiJdBhwa8zw/M+5Ps+vJsxZagF6dmlqSlt7vDYAF6B23LJd6Uu1JOydZnkVr3Q3sJXVi+5VpVh/QWleTujL/ZSBXoc7dxjolwFeBF8dNK/mdMe/V3eMeW8GlfZ5FKfX+Mfv1GLBmzO/PrZRaM83YZ2JozM9BLr0v1wLXj30+4AOkAnQzfV/2MgmV6toxdttrgGNj7nv/FGNOvxcrjPFsIxXIyvU89yil9hvTPNykAjLpcf4DqWySnxtTROa92KmYOQlWCLGCKaV+CygGBkilRo5VY6T7pa0x1nOQuqqxdtyy/hk8ZS+pqxD1Y76gK7XW22Y45OnS8L5Lal7oaq11FfA1UgemQgghVjD5vhuzYa3flh4TqekafzdmjDm7eRjBnE5SqfXTcZDKaNg2ZrtVOlX4MLPJKR4/AKweVycgvd/tpK6grx63bLJxhBlX02IySqm3ksoAeYbUCeu0dKp7x/8jNc3ovknWiQH/RWoazfaZbJfUNImjk2zvu2N+fzuAi+OCdBdn+Bxz0Qs8P+75yrXW6c4bM3lfTvq716muHdVjXt9FYMeY+747k0FqrYeBh4C3j1+mUoVLHyI1RajJeJ4n0+PUWvu01r+vtV4PvAP4v0qpN83kecX8k2CFECuUUuoK4K+BDwK/CvyBUmrXuNX+QilVZMzxfRvwvzrV9umHwOeVUhVKqbXA/wW+Pd1zaq0HSc1B/UelVKUx13ODUuq2GQ57mNS84clUAC6tdVgpdR0wVQReCCHECiDfd/PmSVL1BqZkZET8J6k6AI0ASqlWpdRMaxQcIHU1/w+UUlal1O2kTjq/b/xOHgY+p5QqM2olfHiKcfwP8E9KqRallFkpdaPK0WVDKVVPKqDwMWN7b1dK3TuTwWqto8A/kl2TY+y2zaTqIoRIZfdMSSnVSqq+xmxqXMyUWSlVMuZWNMvHPwFcoZT6VeN3Y1VKXauU2mIsXxTHYUqpOuBdwMkci4tIBS7tQFylCtveNeaxb1NKbVRKKcBDahpPrjonIg8kWCHEyvC4yu7l/Qipg60vaK2Paq3Pkyog9K0xX+JDpKpRD5CaO/kJrfUZY9lvk5qP2gW8RCqS/j8zHMuHSH1RnDK2/yNSRbJm4l+Ad6tU5fQv51j+m8BfKqV8pA4axqf6CiGEWL4mfNepVOFH+b6bHw8AHzBO4qbz/0il0u9XSnmBXwDjW3vmZJz8v51U9xEH8O/Ah8b8Tj5FalrCEKn6Cl+fYnP/H3AceI1UPYovkPv85wHgx1rrJ7XWTlJFWP/LOOmdif8hNR1j7JX8o0opP6nf/YeBd2mtXTPY1vuBbxpZG/Pts6SCJunbrDpyaK19pE7s30vq8zJEap+mP0uFPA67Mf3ZJ1V3xE7q85vFeA2/Y4xtlNT+fmzMKptIvV/9wD7g37XWexd47GIS6aIjQgiRYVzF+LbWuq3AQxFCCCEWjHzfzY5S6rvAD7XWjxZ6LMuREUA7CtyqtR4p9HiEKDRLoQcghBBCCCGEWPy01jK9cgEZ2RRXFnocQiwWMg1ECCGEEEIIIYQQi4pMAxFCCCGEEEIIIcSiIpkVQgghhBBCCCGEWFSWdc2K+vp63d7eXuhhCCGEEIvOoUOHHFrrhkKPYyWQ4xEhhBAit6mOR5Z1sKK9vZ2DBw8WehhCCCHEoqOU6in0GFYKOR4RQgghcpvqeESmgQghhBBixVJKlSilXlVKHVVKnVRK/YVx/5uUUoeVUkeUUi8ppTYa9xcrpX6glOpQSh1QSrUX9AUIIYQQy5QEK4QQQgixkkWAO7TWO4FdwN1KqRuArwIf0FrvAr4L/Imx/q8Do1rrjcCXgC/kfcRCCCHECiDBCiGEEEKsWDrFb/zXaty0cas07q8CBoyf3wl80/j5R8CblFIqT8MVQgghVoxlXbNCCCGESIvFYvT19REOhws9lLwqKSmhra0Nq9Va6KEsWkopM3AI2Ah8RWt9QCn1MeBJpVQI8AI3GKu3Ar0AWuu4UsoD1AGOcdv8OPBxgDVr1kx4zpX6fgR5TwohhJgZCVYIIYRYEfr6+qioqKC9vZ2VciFca43T6aSvr49169YVejiLltY6AexSSlUDjyiltgO/B9xrBC4+A/wT8LFZbPMB4AGAPXv26PHLV+L7EeQ9KYQQYuZkGogQQogVIRwOU1dXt6JODJVS1NXVrcir93OhtXYDe4F7gJ1a6wPGoh8AbzB+7gdWAyilLKSmiDhn+1wr8f0I8p4UQggxcxKsEEIIsWKstBNDWJmveTaUUg1GRgVKqVLgTuA0UKWUusJYLX0fwGPAh42f3w08q7WekDkxw+ee67CXtJX6uoUQQsyOTAMRQogCSSQ1ZpMctAtRYKuAbxp1K0zAD7XWTyilfgN4SCmVBEaBXzPW/2/gW0qpDsAFvLcQgxZCCCEWQiSW5MRxxe6rFYWOLUtmhRBCFMjLHQ7meEFWLFHDw8O8//3vZ/369VxzzTXceOONPPLIIwA899xzVFVVsWvXLrZs2cJf/MVf5NzGZz7zGbZt28ZnPvMZvva1r/Hggw8C8I1vfIOBgYGcjxGT01of01pfrbXeobXerrX+S+P+R7TWV2mtd2qtb9dadxn3h7XWv6y13qi1vi59/1Ik70chhBBj/ftzHez89AFuvzvC0aPZy17pcPAfDztJJvN37CqZFUIIUQDBaJwjvW42NJbTWl1a6OGIPNBac9999/HhD3+Y7373uwD09PTw2GOPZda55ZZbeOKJJwgEAuzatYu3v/3t7N69O2s7DzzwAC6XC7PZnHX/N77xDbZv305LS8vCvxix5Mn7UQghxFhHet184adniYcrabjvEDt2vAG4lFrxl98c4Pl/38T16xW7duVnTBKsEEKIAjg14CWR1Jwb9kmwYoV49tlnKSoq4hOf+ETmvrVr1/Lbv/3bE9a12Wxcc801dHR0ZJ0cvuMd78Dv93PNNdfwh3/4h5w+fZry8nLa29s5ePAgH/jABygtLWXfvn2Ulsr7SkxO3o9CCCHG2t/lJDZSSeRn16PvPoAnFKPGVgRAOJagM9nPr/5JGTt3bszbmCRYIYQQBXBywAtAx7Cf269oQClFMBrHH47TWFlS4NEtf3/x+ElOGb+D+bK1pZI/f/u2SZefPHlywlXpyTidTvbv38+f/umfZt3/2GOPUV5ezpEjRwD43Oc+B8C73/1u/u3f/o0vfvGL7NmzZ07jF4Uj70chhBCFtr/TSfvmGB96m4+/fdVLtzOQCVYc7B4llkjy3nsq8lrHQmpWCCFEnnlCMVyBKAD+SJznztkJxxI8cWyQlzocBR6dyJff+q3fYufOnVx77bWZ+1588UWuvvpq7rrrLj772c+ybdvkJ5tCzCd5PwohxMqltebwxVGuX1fLm24uQim46Apmlj93dgSzSXHD+rq8jksyK4QQIs96x/zxBzhy0c2pAS/ReBKAQU+IVVWSMr2QprrivFC2bdvGQw89lPn/V77yFRwOR9aV53SNALGyyPtRCCFEIXU5AnjDca5fV8vq2jIAuh2Xjlf3nh1hZ1sVZUX5DR9IZoUQQuTZxXHBCiATqAB45vQIhy+O4gnG8jksscDuuOMOwuEwX/3qVzP3BYMT3wtzVVFRgc/nm7ftieVN3o9CCCHSDna7ANjTXkOJ1UxjRTHdzgAAdl+EjpEAm62ryXcTuyUVrFBKlSilXlVKHVVKnVRK5e6jJYQQi5TWekJmxXh2X4Tnz9r51v5ujvS68zMwseCUUjz66KM8//zzrFu3juuuu44Pf/jDfOELX5iX7X/kIx/hE5/4BLt27SIUCs3LNsXyJe9HIYRYeQbcIfa9Gp8QdNjX6cLirmFdXTkAa+rK6LL7ATgx4CE2UsmDf9U6oZ3pQlM63+GRy6CUUoBNa+1XSlmBl4BPa63351p/z549+uDBg3kdoxBCTMXui/Dt/T2zesybtzRxVVvVAo1o5Th9+jRbtmwp9DAKItdrV0od0lpL9cM8yHU8spLfjyCvXwgh8imWSPI733udnzwXZPTH1/Li0yVZ7Ue3f2o/PT/cxYs/T93/Bz86ytOnhnn9z+7iq8918nc/PcO333UXN19vnfcCm1MdjyypzAqd4jf+azVuSyfaIoRY8c4OzT4t+tkzIzx5fJAXz9sXYERCCCGEEGI5e+b0CE8eH8JiMtN8/+vs3Hlp2UVnEJ/NyWf+3pW5v73exmgwhj8S5+SAh+bKYm65Yf4DFdNZUsEKAKWUWSl1BBgBntZaHxi3/ONKqYNKqYN2uxzYCyEWD08wxusXR2f9uKTWnB3ycX7YP/3KQgghhBBCjPFKpwOcVXif2EMgEscbvlQX7aUOB0rB+++91Ja0vc4GQI8zwKlBL5ubKwox7KUXrNBaJ7TWu4A24Dql1PZxyx/QWu/RWu9paGgoyBiFECKX58/biSfnngzmC8dJXsbjRapmyEqzEl/zUrFSfzcr9XULIUShvNLhYM9uE3/5r16sjV56jOKZkGpLWmcrYkNDeea+9jobWsMjTwfodgTZ3lqY6chLLliRprV2A3uBuws8FCGEmFbHiJ/OkcvLjEhqjS8Sn6cRrTwlJSU4nc4VdaKktcbpdFJSUlLooYhxVuL7EeQ9KYQQ+eYORum0B7j1inredFMxSsEFRypYkUxq9nU62WRZDVya43FlcwXVoXr+6veqCQ9VFCyzIr+NUi+TUqoBiGmt3UqpUuBOYH7KVgshxAIJxxLsPTMyL9vyhmJUlVrnZVsrTVtbG319fay0KYIlJSW0tbUVehhinJX6fgR5TwohxHw72O2iuaqEtpqyCcteveBCAzesr2NtXWp5jzPVme78iB/nxTL2Pr2Ro/eQKbppMik+/q46Pu87hLXRy5ZVlXl6JdmWVLACWAV8UyllJpUV8kOt9RMFHpMQQkzp9KAX/zxlRHhCMVbPYD2tNSrfVZAWOavVyrp16wo9DCEAeT8KIYSYH/s6ndz/16cobvTxzjVb+NJvrssqhPlKp5Oko5IdbdWUWM00VhTTZWRWnBlKTQv5929E2LkzOzTw/uvW8E8/P0d0pDJTwyLfltQ0EK31Ma311VrrHVrr7Vrrvyz0mIQQYjoOf3TetuUJxaZfCeg2IuZCCCGEEGL5+s6TbuyP7sbas5r/+LNmjh7NXv7T50M4H93D2VNmANbWlWWmJp8b9mE2wb23l07o9FFjK+Lm2g2MPnYtp04UJmywpIIVQgixFLkCkXnbVq5gxbNnhvnZiSFC0YTxfFEuuiRYIYQQQgix3J2L9XHzJ87zoQ9aaHzXIa666lItJIc/wpBlmE/9zUimLenGxvLMceKZQR+ra8sosuQOC3zj/9vMC08VZ7U6zScJVgghxAJzBhYus2LYG+ZYn4fTg16O93sAGHCHsPvmL0AihBBCCCEWH3cwyvkRP++8o4x1DWWoeg/DvnBm+cvptqT3VGW1JfWEYnhCMc4O+9jcNHnxTKVg9241IesiXyRYIYQQC8gXjhGJJedte+ODFc+ftZNuJnBu2AdAvzuEwy/BCiGEEEKIpSwcS/B7/97N3z55mmFveMLy/V1ONHDzpvpMXYnuMW1J9561U15syWo92l6fakv6+LNB+kdDXFmgTh8zIcEKIYRYQM55rFcBEIomiMQTxrYj9LtDmWV2X4TRQJQBd4hQNDFvRT2FEEIIIUT+/dv/Ovi3P2rgyz908Btf6mB8t+vnzznAUcVVrdUTOn1orXnpvJ0b1tdiNl1KjdjeWkVspJJPfrSYyHAlm6bIrCg0CVYIIcQCms8pIGkuY5unB30Tlh3pdeMOprIvZCqIEEIIIcTSNWgZYs17jnBVayU///L6icUznwvh+PEeTp80saqqFKtZZTIruhwB7L4o601tWUGO1upSbrnBQsVbX8Pa6GVTU3keX9HsSLBCCCEWkHMBpmP84vQI0XiSM0PeCcuO9XkyP8tUECGEEEKIxal/NMTbP3eCVy+4Jl1nf5eTm2+wcuctJdS/8xBbt1+aWtzjDDBaaucz/+Bk504wmxQt1aV0G21Jj/W5iY1U8rU/bZoQ5Pjk7RsoavJiNsG6+sK0JZ0JCVYUUCwxf/PYhRCLk2sBMiscvgj/e6gXX3jiNI/kmNC5QzIrhJiWUqpEKfWqUuqoUuqkUuovjPtfVEodMW4DSqlHjfuVUurLSqkOpdQxpdTugr4AIYQQS9KXfjDCz/55Hff/9Ul+cWp4wvIRb5h+d4ibN9bTXl+GpdHLwJjpv3vPjKAUfPht1VnFM7vsqWDFmSEfZat8PPQQE7p53LqpgVVVJdSGGykymxfsNV4uCVYUUKfdvyAnMkKIxWHEG16wqRgj3um36wrK3xchZiAC3KG13gnsAu5WSt2gtb5Fa71La70L2Ac8bKx/D7DJuH0c+Gr+hyyEEGKpOxPt5aqPnKJuTZgvfn94Qj2KV7tTGRfXraulvX5i8cynTw3TUl2SWQawvsFG32gIrTUn+j2sa7Bx7TWmCd08TCbF/919HUMP7Z6QdbGYSLCigJz+KEd6Rws9DCHEAghFEzx+bJB4Uk+/8gIZ3zlECDGRTvEb/7Uat8wHVylVCdwBPGrc9U7gQeNx+4FqpdSqPA5ZCCHEEucNxzg16OFX7q5gs7WN576ycULQYH+XkxKLiW0tlZc6fRhTPMKxBK/1jPLGzY1Zj2mvsxGKJbD7I5wd8rF1VeWkY3j3XRU88Zh5QtbFYiLBissQSyRJzOJEZHy7GWcgyulBH+FYYr6HJoQosOfP2fEWOFgQiSXl74sQM6CUMiuljgAjwNNa6wNjFt8HPKO1TheJaQV6xyzvM+4bv82PK6UOKqUO2u32hRm4EEKIJWlfp5OkhtuuaGDPbtOEehQAL5x1sIYWzCYT9eVFlFrNdBudPg52j+LvL+eOK8cFK4y2pN950ovdF2Vby+TBCqVg1y4mZF0sJhKsuAx2X4ShHP1uc/FH4rx03pF1n8sfIRpPZtrLCCGWhxFfOGfxy0IodMBEiKVAa50wpnu0AdcppbaPWfw+4Htz2OYDWus9Wus9DQ0N8zRSIYQQS4k3FM15cfu5s3ZwVHH16hrW5qhH0eMM0HHGwpGvb+XoUVBKsbq2lC57KhHwZ8+HsD+yG6u7Nmu717XXYhmt5g8/WU5spJLNzZMHK5YCCVZcBrsvQp9rZoGGbkeA3tEgvnDqxCGeSOIJpYrjjcq8ciGWlVc6nBPmHRaKTAURYua01m5gL3A3gFKqHrgO+MmY1fqB1WP+32bcJ4QQQgCgtearz3Vw7eef4dNfuTDhuPCnz4VwGi1H01M8esacVz51cghro5cHvxvPTNNYX1/OBWMaiLvMzhUfOM4tN1iztltaZOa9d1dS+85DWBu9bGmuWLgXmQcSrLgMdl+EvtHQ9CsCPc4gWqeqsgKMBmOZqv1uCVYIsWx4w7HMF8liIMEKIaamlGpQSlUbP5cCdwJnjMXvBp7QWo9No3wM+JDRFeQGwKO1HsznmIUQQixuT50c5q++OYi3r5yv/8WqrHoUva4go6V2fv/vUy1H19aVAalsirSfHBtkQ4ONu28rzUzTWN9gY8ATJp5IcmrQyzW7Vc4pHL9+yzqsjV6KPbXUlxcv5MtccBKsuAx2f4RBT2jauhXJpOaiESk70e8hkdRZXUBGg3IyIcRy0THin36lPPKG5e+LENNYBexVSh0DXiNVs+IJY9l7mTgF5EmgC+gA/hP4zXwNVAghxNLw8NN+HI9ew5u3NtLy7tezili+1OFAKfjgWytRChoriim2mDKlAZz+KK8d1ty9rTlrm2trbYQGK+iyB+hxBrmqrSrnc69vKGdb8WqGHr6aY8cWcUGKGbAUegBLVTKpcfojxBKaQU+ItpqySdcd8UUyRe7cwRgHu10kxuQCuSVYIcSysdiCFZJZIcTUtNbHgKsnWXZ7jvs08FsLPCwhhBBL2IB5iJs+4efWGyp50TXKaDBKra0IgGdPj1BnK2JDQzmQqkfRVlOaycz99k/c2B/ezdr3ZBfcLPLWYH+kls9t7iWR1GyZotPHj/90O8fvY1F3+pgJyayYo9FglFgiFXCYbiqI3RfJ+v+rF1x0Oy7NSQrHEoSiuSv2d4z4iSWSOZcJIWYvEk8QX6DPVCASzyqOtBh4JBgqhBBCCJE3sUSSc8M+7ripiI1NqYBEp1EYM5HU7OtycsumetSYORztdbZMsCJQ7qT5/sPc9yZb1nbve1M51/3GGV4e7QSYsi2p1Wpi927Tou70MRMSrJgju/9SAGK6YIUzkB2siCf1hDam7lDuuhXnh32ZKSRCiLmJxBNE4qmA4NFez4LVlLjgCCyawpppvnAcvdgGJYQQQgixTJ0f9hNNJNnRVsWGeiNYYWTeHuvz4LpYxu2bs1uOrm+w0e8OkUxqjvd72LI9SbE1+1RdKfi99zYBoB1VrKnNDmYsRxKsmKOx2RKD7hDxRDLT6WO8sfUpJjMamPjYZFJzwRnIvLnH01pnFWI5NeBdVIX9hFgsXjrv4BenRojGkxy+OJopdDvWkCc8o8/qVBZjYDGe1Pgj8UIPQwghhBBiRTjW5wZgZ1s1rTWlWM2KLuMc7dFnAtgf2U1loD7rMatrbfj7yxn0hDk96GVHa3XObb9txyos7hocj17DieNLPG1iBiRYMUdjgxXxpOaHB/v45ivdROMT08tncgKUqyNIvztEJJY0rtZOvDJ6pNfNY0cGcAWinB3y8dTJIR59vV/mqIsV5VDPKImkpmPEz/8e7OVEvydreb87xPF+D+eGfTx8uI9QNEG3I5CpIwOpVsJPnRziqPHlMld9o4svWAEruy6OKxDl5yeHeLnDsWDTf4QQQgixcmgNR44waTbtkV435cUW1taVYTYp1tTaOGdcKPOW2Vn/vmO88absLh0l3lrsj+zmX34wgjsUY3tr7ikeJVYzD/zuBv7rweiSr0cxExKsmKPxdSiGvWFiCU23MzuzIRJP4AtPf1XTnSPAkJ7bFIwmGPRcmjby6Ov9/OLUcOrgO6n56YlBnjkznFm+2Ar8rVRSa2Th+SNxXjhn58F93TxxbIC+0RDPn7NnnZS+cM6e+TJJf47iSc2Jfg/JpMYbjvHUyWFcgSinB71z/r05/RECkdy1Zwrt1KC30EMomKN9bk4OeHn1govvvXqRkXFT8IQQQgghZuPxvQFuvjPM1x9z5Vx++OIo21oqMzUpNjWV02Gc150c8HL11UyoJfHuO8vZ8qsneKL/NABbW3J3+gB405Ym3ndv1ZKvRzETEqyYA38kTnCSgpjnhrPTy2eaVj7oCROMXgpqhGOJrBOM9PSOaDxJjzPI8X5PpsDniDdCJHbpBKtjZGKKu8g/CRotvEGjmKU7GMsEJKLxJL1GHZluR4AhT+6T0xfPO/jq85184+XuzOc2EktyZnBun5/eaWrXFNK5Id+kRXyXu7EFRh3+KN9/rVfauQohhBBizg75uql822v81b59/OTYYNYybzjG+WE/LYlVmWPTTQ3lXDhrJRhJcMHh56rWiYEIk0nx/nsrCRqZv1tWVSz461gKllSwQim1Wim1Vyl1Sil1Uin16UKMY3xxzLG6HYGsK7MzDVZ4QzG+e+BiZtsHu0ezAhDpYMWAO0RymmJ5g56wzFFfBM4MeUkmpbDhQuqfpPNGlxG93t/lnPLx0XiSxLjf0Qvn7Tmnc0z3u+xdhPUq0uJJzYkBz/QrLkPjp8UlkpqLzsX7uxJCCCHE4ravy8GOnZqqUiv/85grazrIaxdcRIYr+eHfrebo0dR9RZ5aRh7ezT/9YJhYQrO1JfcUj1/a3YbWUB2sp7zYmodXsvgtqWAFEAd+X2u9FbgB+C2l1NZ8D+KCffIilrGE5tULl1KCZlOwzxeO8/1Xe3nxvJ0jvaNZy+y+CP5IfNrOI5CaP3U2RwFBkV9DngiOcZ1gVrpcNV1ymemJ/4A7d+DwgiNAtyOQNX1qpqLxJD8+MjAh0+mhw32T1jzQWk8aOFksXut2sffMCK9ecPHgvm4c/uX/3tRa480xxW4mf0eFEEIIsXJNdsznDcfoGPFz19YmVusWnvzS+kxQAuClDgdlq3w8/BCZmhK/9s4aWn/5dX504QQAVzbnDlZc0VRBa7KZ7h/sytrmSrakghVa60Gt9WHjZx9wGmjN8xim7bjx6gUXr3Q66HUFGZzkZGoySa052D2ameIxVrcjMOMCfkd63XJVv4ACkTjhWIJhz/I/IZyMPxLnpfMORnypz8CIL8wL5+xTPiaR1Ow9M8JPjg9O224zGk9OqB2T5gvH+cXp4ZzLZiIaT9LtuPRZe/bMCH2jIY70unOuPxqMLfppFpFYkiO9bl7ucOD0R/np8cFlX3DSF4kTz/F3cLEWQp2M1lpq4AghhBB5cHLAw13/9DzXfv4ZvvSDkQlFNA/1jJLUcMP6Oq7ZrWj6pUPs2HFppRfPO9i1uprrrzVnakrYii284w4b7lAMi0mxoaF80ud/+q928sxPi1ZE8cyZWFLBirGUUu3A1cCBcfd/XCl1UCl10G6f+sRoLoa8M5ticaDLxY8O9c3r1dZzwz6GvTM7+fWGYpwdUz9jbOcDsfDSGTVDK7iY38sdDl7rdnG8LzX94OyQjxMDnkk/ExedQR7c182RXjehaAL7NFf+h73hKadEzaSw7VTSxXJHvOFMptKr3a6c2VIDizyrIheHP8rDy7x7kGeSLii+cJzRy2xTu1D2nhnJBL6C0TjH+tw8uK9nyumHQgghhJgf//PSBU6fNOHsKeVzv1M1IcPhQJcTs0lx9Zoa1jfYoM6TyVZ1+aOcOm7i1k0NE7b7qzeuRWuojzRiNU9+Cm4rsXDNbrUiimfOxJIMViilyoGHgN/VWmeVuddaP6C13qO13tPQMPGNcrm6ppgCstB6nMFp61WMdajn0lSSTrtfAhZ5lAlWeJbeSex8SCZ15rNyZshHJJ7g3LAfreHVCxPrSJwd8vHokf6sFpvTpeov9El2jzNIMqk52nep1kMkluQ7+3t4pdOR9Xmay3STxaB/NMRjRwcKPYwFM9V7pHcRZleEYwmO9Lr55r5u/vOFLh54oYtnTo/MajqhEEIIIeZGa81TL4RxP34tm5sr2PGRUxMyHF4856Al0UyJ1czaOhtwqbbg937mwf7IbuqjjRO2vWdtDY2xJs5+5yqZ4jELSy5YoZSykgpUfEdr/XC+n38ppQ/bfZFMpK/XFcw6ERQLK31y4QxEV2T6dr87lDmZj8aTPHfWnqkd0OsKEYlfOtFPJDVPnxqaUOhyuroVgQUuIhuOJehxBTk7lN32M57UHOhy8d8vXchc7R5cwkGpXDUdloupXttkXWIKKT2tKRRN4I/EJ+3fLoQQQoj51+0M4rM5+X//4GLPboW3zJ6V4eALxzh6FE49uJ2jR2GdEazoMQp3hytcNP7SYd715onTPJRSvPB3V/OsTPGYlSUVrFCpZrX/DZzWWv9TIcaw1M470y0Ze10h3CG5OpcvTiNYoTX4L3M6wlI0vm3rqYFLJ/yJpM78UYfUCVquGi397tCUdVeCecgUeub0cM6xQSoI8+L5VIbFUr7yHY0nF329jblyTxGsmGpZoYxMUoNFCCGEEPNjqmPLl86nghMfeGsV6xpseEKxrCmlL3c4MDd4+ef/DLJzJ7RUl2A2KS4YU4fPjfhYtzlGaZE55/ZLi8xcfbVM8ZiNJRWsAG4CfhW4Qyl1xLjdW+hBLWYdI36c/lQnkdHA4js4X67GzodfCW1kE0nNi+ftHOoZ5Wive0KwYrzOMcsny0qIxJJTdlMJRhb+BHu6uhe9riD7upxL/gq4L7w8/zZMNQ1ksnoWhTRZwVghhBBCXL5fnBpmx+8c4M3/+Dw/+JlvwvHbM6dHKPfXsba2LDPFo8d1qQTA06eGsRWbee89lSgFFrOJ1urSTKfI88N+NjVOXjxTzJ6l0AOYDa31S4DEombB6Y/y+kU3AO7g0r36u5SEY4msAEUguvyDFQPuEAe7R6df0XDBGSCZ1JhMasp6DyPeCI0VJTmXLZb9esT4fC1l3nCMxsrc+3kpmypY4Y/EicaTFFkWT8x+uqKyQgghhJi7rz3i5Ox3djBy6xk++Q/FbP4Z7NqVWpZIal7cH8P54z0c+5iivTkVrOh2BtnRVo3WmufP2blxfV1Wgcz2ujI67X7iiSQXXUHu3NZUgFe2fC2pYIWYmxMDqQKBo4vwSuJyNH5KQCAPGQCF1jVNO9/xIrEkp4e8bGupmjJYMdWV5uAKyFjJF09o+e3LSDwx7fQWdyg6aTAs3+KJJC6/BJSFEEKIhdKjB3jH72vcJT7Krj7Hzp3bM8tOD3qJ17j58y972LmzkXCsDICL6Skew34c/ih3bs0ORmxoLOfVbhcXXUHiSc3GKdqSitlbPJeUxIJJpzhJzYr8mBisWH4nguN1zzJYAbCv04knGJuyCOJUwYrAMq2zUAjLcRrITKZ5LKapIM5AdFbdnoQQQggxc0OeMHZ/hHtvL2NDow2fLbt45qsXXCgFv/KWCpRK1ZeoLy/KdPp48byD6HAlt16R3W1yXX053r5yfn5yGEgFL8T8kWDFChKJJQkuktT55Ww0uLKCFZ5gbE4FJn3hOE+dHJpyHbs/gs5xAhdLJInGl1i120XMuwyLwM6kte1iKrJ5ZshX6CEIIYQQy9bhi6npytesraG93saAO5xVbPPlDgfNlSW0VJdm7ltba6PLqEfxzEsRnD++hpHu0qzttiWasT+6my9+PxWs2CjBinklwYoVZvxUkEFPaEYH9WLmJmRWLPMMgHQF5Lnod0/d8jMaT+ZsuZuP4poLLRxL8L1XLy6KdsjLsX3pTAIRi6WdcziW4ES/p9DDEEIIIZatg90uiswmtq6qZHVtGdFEMtOFS2vNwZ5Rrl9fm/WYdfU2Tp80oTUMWoa487c7J7QdfeNNxdz96QvEqkapsxVRWWLN10taESRYscKMjjuRPtbn4WivuzCDWaZW2jSQnssIVsxErqKDi6W45uU4PehlxBfhWF/hT1K9y3AayEwCEYul6PDrF92SKSSEEEJchlc6nNz22df5s0dP5DyuOXDBxZZVFRRZTKypNepRuFIXjDrtATyhGG/YUJf1GKu3hs7v7uCZlyJcdAV4401FE9qOKgWfeX8TSsEGqVcx7yRYscKMLYQYjiU4P+zjxIBHDpTnSTyRnJCpspxblyaSmr7RqbMjLteId2KwYqlPZ9Jac6LfC8AFR4BYorCfv0gsSSS+9LNVxprRNJBFkFkRjSc52ucu9DBWNKVUiVLqVaXUUaXUSaXUXxj3K6XU55VS55RSp5VSvzPm/i8rpTqUUseUUrsL+wqEEEJ88XtDvPK1K/jPR0f5mwcHstqShmMJzgz6WK1b0BrWjgtWHOhyER2u5Nr27GDFe+6qpOFdh3nBeZ6khm0tlTmf++aN9Wyot7HO1LLk29kvNhKsWGF6HAHCsdRJyZkhH7GEJhJLcmrQW+CRLQ+jwdiEP1LReLLgJ6MLZcAdWvBA18kBD0d63STGzCsMLvGpNQPuMK5glC2rKogndaZ4UySemFDzJF+8y6wjyEyyJgLReMGnwR3v90zbtUQsuAhwh9Z6J7ALuFspdQPwEWA1cKXWegvwfWP9e4BNxu3jwFfzPWAhhBCXaK25oAe47zM9VJdZ+OqfNnP06KXlB7tHCQ1V8PDfr+HoUWipLsWkLnX6eOblMI5Hr8HTV5a13Z1tVbRsCPO91y4CsK2lKufzm0yKv3/jrfzoC2uznldcPglWrDDxpKZjxE8wGudAlzNz/5GLozkLGYrZmexEc7lOBelxLny9hWA0wd4zI3SM+DP3LfV2sKcGvRSZTdx+RSNlRWbODPmIxpP876E+vnvgYkEyRwp90j6fEkk9o4wmreG7By7SZfdPu+5CSCQ1rxsFv0Th6JT0m8Bq3DTwSeAvtdZJY70RY513Ag8aj9sPVCulVuV73EIIIVJ6XSFGg1He8SYb23fAzo+cyqot8eJ5OyXNPh56CHbuhCKLicaKEnqMzIoR6wg3f+Icu3Zlz/EwmRR3bW0mltCUF1toq8kurjnW7t2mzPbF/JFgxQp0dsjH06eGs65OjwZjmau7Yu56XblP3pfrVJAeV/7eM2ODFUt5GojWmouuIGvqyiiypAo9XXAE+MYr3bj8UeJJzeGL7ryPy5mjNshS5QlNzHCaTDiW4Lmz9oIEa7vsfnzLsBPLUqSUMiuljgAjwNNa6wPABuBXlFIHlVI/VUptMlZvBXrHPLzPuG/8Nj9uPPag3W5f4FcghBAr18EeFwB71tawsdGGpyy7Lenz5+xsb63kxussmftX15ZywREgmdR0OfzcfL1lQj0KgLftSMWiNzdXoHKtYFAKdu0i5zbE3EmwYgW66Apm2vCM9XoBTpCWk0AkzqmB3NNplvq0hVzCsQR2X/5OcLudAeLGdJql3GHFHYrhj8RZbUTn37Chjts3p3p233ZFA1c0lXOsz81oIJrXE2iHf3EUm5wPs80S8YRimXmr+TRdNxyRP1rrhNZ6F9AGXKeU2g4UA2Gt9R7gP4H/meU2H9Ba79Fa72loaJj3MQshxHKhtUZrOHKEnBcbDna7uPX/vc7dX3qRh37um7DOgS4ntiIzVzRVsK7ehicUw2PUpfKEYpwd9nHbFdl/h9fV2+h1Bel3hwhGE1y5Knc9iuvW1VJvK6YdqUdRCBKsEBkXXUEcy+jqar4dvjhKPJn7r9hyzKzoGw3l9Y92NJ7MnFAGl/D+TGffrDaKOyml2NlWzW/cso6dq6u5tr2WRFLz4P4evvFK94J3W0lbTp/9uXT5SBc8zadhbzjvzymmprV2A3uBu0llTDxsLHoE2GH83E+qlkVam3GfEEKIWfrBqxe56rcPcPMfHOYd9yVz1nz43Nf72ffAFRzaa+PjHy6esM7+LhdraMGkFO11NgAuGMdP+zqdRIYquWlDfdZjNjZUMHyhlKdODgNw5aqKnOOzmE38y5238cg/SD2KQpBghchyqEfmT89FIqmnbEHpXUb1ANIKcVX4aJ+bx44OMLSET/J6XSHKiy1Ul2b34U6nFtaXF/P+69bwxs0NmE2KR48M5OVz6Q7GMpkrS91c6m902v15nV6USOqcnW5E/imlGpRS1cbPpcCdwBngUeCNxmq3AeeMnx8DPmR0BbkB8GitB/M6aCGEWAKmypZI+9f/dXDuOzvosgf48J/2T6j5kEhqupL9vO+P+mi/zsVbPt2Vtc5oIMr50xZe+68rOXo0lTEB0G1Mb398bwD7o7sxj9Zkbbfd1IL9kd38/XeGANjclDtYAfCG6608/LCSehQFIMEKkeXUgJcT/ZOfdIvchr3hKbtiHOl181q3K48jWnh9o/lPm+92BOkc8S/ZNLyk1vSNBlldWzrlvMe68mJ2tFXz/uvWsKmxnJc6HLzW7eLEgCfTzWchxuYKLI+pIHMJViSSmtODvgUYTW4Of2TSTCyRd6uAvUqpY8BrpGpWPAH8HXC/Uuo48LfAx4z1nwS6gA5S00N+M/9DFkKIxe/Hz/h5871R9r+W+2JAIBKn3zzIJ/96mLo1QVS9Z0LNh1MDXoKxBPffWc66+jL85Y6sdfZ3ObE2evnyf4XYuTOVuaogU4vPUWRnz8fOsOea7NPeO28u4fbfOk+kykVrdSm2Ysukr0PqURSOBCvEBM+eGWHEN/cr15H44qknEE8k8zIFY9AzdZaB1vDSecekBTgXs15XEF84++Qv3/Uqlovzw37C8STrjBTF6VjMJu7a2kRLdQmvdDp55vQIxxcwmGhfJlNB5prJdGogf4HaIc/SzQ5abrTWx7TWV2utd2itt2ut/9K43621fqvW+iqt9Y1a66PG/Vpr/Vta6w3GsoOFfQVCCLE4fa/zOEVvOcCnn36eZ16KTLjYdKhnFA3cf2c5LTUlObvM7etyAHDj+jrWNZRPOJZ+4byd0iITv/yWCpSCEquZpsoSLjhShdnPj/i4YY95QqBBKfid96TqWDREG5fshbDlToIVYoJEUnNykkKR00kmNS+ec8zziOZmwB3iP17oYn+nc/qVL1O/e2YnHmeH8nfldjozmS8fTyR55vTwhBOrAXd+61UsB7FEkpc6HDRWFLOhsXzGj7OYTfzS1W28/7o1lFrNC9pidLkU2ZzrPnL4o3mrIzEowQohhBDLWDKpOdHvYcv2BH0dRbzvV0wTaj7s63RiUnDN2hrW1tlyFrt+/pyd1TWlNFaWsLaujNFgLOtC5EvnHVyzpgar+dJpbXt9GZ32AK5AFFcgytZJimfeubWZikAdr/zHZqlHsUhJsELkdH7YR3IOKcrDvjAnB7wLekI1U69ecBGNJydkPZwe9M773PyBGdZvOD/iJ7EIUr+HPGG+/2ovL5ybup3e/i4Xo8HYhBoRZxZR0GWpONg9ij8S57YrGjDNMo/QbFI0VBRTXWZd0M/WcmhfGojEiSXm/hk7NbjwhTZjiWRBplEJIYQQ+dLlCBCIJvj4reuxrfLzK5/tnVDz4aUOB1c2V2IrtrCmtoxBTyirE1o8keRQt5uN5ja0hrW1qczUi0YGxpAnTO9oiNs2Z3f62FBfzpkTpkyXvs3NuetRlFjNHPnn6/j5T6xSj2KRkmCFyCkQScyplV+vK0RSa470uud/UNPoGPFlghAjvnBmrpozEM3M8z8/7OPnJ4cZmccpDK5AlNAMW2mGY4m8dXeYTDyR5KmTQyS15lDPKB0j/szYxgZxxtbZGHsVuNcVXFQZIkuB3RfhYI+LK5sraKkunfN2KkutC1qstVA1K8KxxLy1ab3cYE7/6MIXjn31ggtfeOl2tBFCCCGm8/rFVHHw3WtqWFVdQrxmNGsqRiia4NSAl/WmVEvQtppSwrFk1rHIoZ5RvP02fvYv6zl6FNYYndQuulLH0i+ddxAdruQN4zp9NMWbuPjDXfzj91LFMyfr9AFgsZikHsUiJsEKMam5XD1PzyM7NTD/2QtT8UfiPHl8iG/v7+FnJ4Z46sRQZpnWqcir1poXzjtIaj2v3SRmmlWR1mkvbLDiwAVX1hfByx0OkknNL04P021Eqt3BKM+dHcmsY/dFSCY1yaTOul9ML6lT+7bYYubWcT2+Z6uqxIovHF+w7Bx/JF6QjiD97hCjwfkJwlxusMLhjyxo3R1XICpdl4QQQix5gUiMZ04PT3ocfKhnlLIiMxsaylldUzqhHsVr3S5CQxU8/PeplqBtNalARN+YiwZPnRyipNnHj36k2bkT1tSl1klv6yfPBXE8eg3R4expHr9xXx2r33OEw4EeqkqtNJQXz9vrFvklwQoxqXTUcqYSSZ2ZchGOJehy5O+k/Givm0RSMxqMcXrQO2Hu/YAnxAVHIHNVenge54vPtmhmIQtT2n2RCSdKrkCUR4/0c37Yz/nhVIDqRL83qyZFNJ7EEYhw6OLosqlrkC9Of5QRX4QbN9RRajVf1raqSq1omFDwdLwuu5/Hjg7MOltBa3AXYArXsCc8bwUnLzdYoTUMTlKDJpnU0+77qbet+cWp4UUxFUwIIYS4HL/5ndf51b8/x01/t5fv/9Sbs3jmVa1VmEyKtfW2CUGNF87ZKW328dDDGF08UpmnvWOmSf781DDXrK3mpuutKJU6DqossWSyv0esw9zyiXNcfXV2WkRpkZn77ypHKbiiqXzKDmxicZNghZhUIJKY1Rz2YW84a674qTkW6ZytaDw5bYeEQXeYo33uS/+fpxMjrTU9swxWOP2ROdUDuRyeUIy9Z0d4+HBfzhOldIS6yxEgEk9wOse8/XNDfg50LXyx0uUm/RlqqSq57G1VlVqB7BPydLbLsT535nd7atDLBUdgTlMN3POU4TAbQ94ww5fRgWis+ajpMdlVohMDHh47OjDn7JMjvW76Z5mJJYQQQiw2kXiC516J4n58D/5TzfzOx0qzClQGo3E67X6uba8FUlM83KEYgTGFMZ87Z2fn6ipuvNaCUtBqTJNNZ1ZccAToGw1x71Wrsp57dW0ZFxwBkklNh93PLTdYc07h+OD1a9Ea6sJNUhR+CZNghZhS7yzmb4+f797jDGZV672cdqiTicQTPHqkf9qaEQPuUFb6mScUm3GdiamM+CKz3k48qRkN5i87oWPEx7f393DkopvgNGONxpPsPTOSs93ra92uyypcuFI5A1FMCqrLii57W5WlqR7g3tCl38+xfg9H+zzsPWvnhwd7SWqdCcY55lAw0xPKb+aM1pphb4SRMVOzwrEEnjkGTeYlWJEjmBmJJ9jX6WTEG+H5aQrTTiZdA0YIIYRYzLyhGF//sQvfJN+pB7tHoc7DP/1HkPodI9z3//VkFah89YKLRBKqQg1oDavHTfFw+iN0jPh545WNmcdUlKSyJtIFqH9xapjocCVvurIp67nb62ycOKbodgaJxJNsbcnd6WNHWxX3t2/jyX9eJ50+ljAJVogpzWaKw/gT8KTWXDDqM2iteehQ/7zXO3jq5PCMCuLFk3pCVHU+6lZ0z3Gqiz2PXRdO9HuJxmd+Jfj0oBTPnE+uQJTq0iLMpstPQbQVWzArhceYihCIxNnX6WRNbRm3bqpnxBfh9KA3E5Say/tsNLAwmRWT1YFwB2OEY4lMXZQLjgBfe76Tlzvn1gJ5PgqQDnlChGOJzOdGa83eM/bMfj3W58lMmZopTyhGILJwtTCEEEKI+fLevz3Nxz9czM5Pv8bjzwYnHEM/c3oYi1nxq2+ror2hDH+5Iyu74eenhsFZxd/+3xqjHoUxxcM4r3i5M5Wpe8um7FpeLdWXals8vjeI67FrcPWWZa1TFWrg9Le2843HU9OaJyueqZTiHz/RzmOPmqTTxxK2pIIVSqn/UUqNKKVOFHosK0W/OzTjee+5CuSl552lO3K8ftGddQX1cnjDMbrs/jk/fj7myM92Ckiaw5e/q9eFrJEhUu/92vLLz6oAMClFRaklkz1wqGeUeDLJ7Vc0sK2lCotJ8YpxAGAxqTm9zxaiZoXWmh++1puzXWc6CySW0Nj9EV44Z0fruXXl8IZjObOCZiuW0Hz1uU6++lwne8+M8NTJoQlTo54+PUwwOvPnmq+aHEIIIcRCiiWSdCT62fnRU4SiCT72IeuEzIRnTo+wjhbKiiysbyjPdOCD1Hf+s6dHuPl6Kw8/rIx6FOnMitRxwEvnHJhHq9neUpW13dW1ZZw8biKZ1FxkgF/6zMUJgYaP31dLw7sO83jfaUwKrmiavNOHUkinjyVuSQUrgG8Adxd6ECtJKJrI+gM0ldEcbQ/Tf5TGFqybr0r4J/o9lzUHbfgygyaJpJ7zCYjdn3pcujDoQglG4/Ny8ibmJpZI4gnFqLPNT7ACUnUrvKEYiaTmzJCP9Q3l1NiKKLKYaK+3EYwmKLaYWFtXNqdpIO4FmKLU7w7h8Ef58ZGJ9R7GFvJ95vRIZjqZPxLP+TdlKq9fdM/rvNR0G+Zc2UaRWJJzwzMPls5nByIhhBBioZwe9BJNJPmTD7VQ2uzjA3/cnxUwGPKEOX/awtFvbOPoUdhQb2PYG85kUHba/Qx5w9xzVXMmUFBnK6LYYspML3/p1RjDD1/DiePZUYTqYAPHv7GVh3/hxx2KcfdtJRMCDe31NrZdlWQ0GGV1TRkll1m8XCxuSypYobV+AZBJv3n24yMD087RTiZ1zrni6SKdY4vKnRv2472Mivrp57vcAp6Xe/LgMU4Y58Lhi9LrCrL37MiCtgKVrIrCSp9sz2uwosTKaDDKmSEvoViCLc2Xrihc0VgOpNIoG8qLcYdixGZZDHIh2peeMU72o/FkpoI3wPE+T1YgYHwAcTbFKMOxBCemKbQ7387NYirIkEcKawohhFj8XutOXVS8YX0dzdXFRKpcWQGDF87ZsTZ6+Y9vRti5MxU8SOpLUzyeOT1CdLiS2zdfqkehlKKlqoSLriDxRJIR6zAf+bP+CVkTH7i3ioZ3HebnQ2cB2NFWnXOM79rdCsC2SepViOVjSQUrZkIp9XGl1EGl1EG7fW5F0MREx/umzgDwhic/ce8bDWVV109qTZc9d7bGTE+SXu50zKnTwVihaOKyriKPLyg6G/5InKdODqF1av77XGtfTEeCFYXlNN4jtfMYrNjeWkVSwy9Oj1BqNbO2zpZZ1l5vw1ZkZl29jfqKVE/x2WZXzHf70ngiyfmRSxkI6c++3Rdh7zSBulzTRiZzanB2tVnmw4A7lFXZfDKJpGbEK59FIYQQi8NUx8D7u5w0VRbTXFVCe50tU38u7enTw9SVF/GuN9tQCtbVp45DLjhS39k/fibA6GN7cPSUZj1uTZ2NC44AXY4A8aTmTTcXT8ia2NFWRUN7iJ+fGsZiUmyZpB7F23e0AFAXaZROH8vcsgtWaK0f0Frv0VrvaWhomP4BBaK15rsHLnL44vxMiVhosYRmcIorg7nqVaSdHfJNyLrINQUjHEtw4ML0iTOHL46mqhDPg8vJrrjcdPmxwZZ9C9QSdC7TAMT8mc9OIGkNFcXcYVyt2NxckVW402o28es3r+Oq1irqy41gxRzqVsx2+sVU9ne5CMcuFZa84AigteblDse0mUl9s6hb4ShAYE5r6BiZfCrIwW4XP3jtIl12P/E8tysWQgghcvnS0+fY9qkDbP/UgQnfYVprDnWPsmdtquXohoZyLrqCmfp1iaRmX6eT269oQBmRhnSwIn3hbdAyzC99pmdC1sRVrVWcOmHixXOpAtpbV2XXqwAwmRS3XZE6f9vUVE6xJfcUj9W1ZXzh9lv5zufbpNPHMrfsghVLRTCawO6PcLA7VSBvKbg4RTHJqVpx5krlzhWsON7v4ezQ1GnVsUSSA13zNxNo8DKK3k0VoJmtIU+YzssoFjoZyawoHE8oxol+D81VJfPSCWSsrS2V3L+7lTdsqJuwLH3wUFliwWJSc2qT2zeL6RdT6XUFOdiT/Xn1R+Icvjg6o1o4vnB8xnVh5qNl6VycGJg49cThj/DT44O8eN7BgDvME8cGCzAyIYQQIpvWmq895KT3+1cz9L97eOzZ7O/iXlcIZyDKqkQzWsPaujL8kThu45j3aJ8bfySe1XK0uqyIyhILXQ4/dl+E0WCUN95UNCFrYi0t2B/ezT//YASrWbG+wUYud21rQmtoTayaMmviPW+pyBTwFMuXBCsuQySemHHacTAaz+pckU4PD8USnJ9FkbZC6nNNfgIz2ywDVyCate8SSc3RXjeeUAznFNkA54Z9WVdpL9fwZQUr5rcQ4c9ODPHQoT488xQEiSeSuBaoDaWYWjyR5IljAwDcuaVpmrXnpq2mDKt58j/hSikqS61zqg/TN8cuN2Nprdl7diTngcaL52felnR8F47JeC9zWthcjXgjWYHGfneI7+y/yJlpAq9CCCFEvnU7g4SrXPzJv4zS+O6D6Bp31vKXOx3ERip54M+aOXqUzFTTdPe7vadHiI5UctOG+qzHra618erBZKae3NYctSTuv7OcKz54HK/NwfqG8kmPYW69ooHacANP/vP6KbMmpNPHyrCkghVKqe8B+4DNSqk+pdSvF3I8Txwb5Gcnh2a07qsXXDx+bDBzgpuud1BebOFIr3vG7UELacgbnjQ4M9sr+FrDiO9SoOD0oDczLaJriiuux/vmt4Ce3ReZsO9nWjdjPlPl4VLxwdNDl1c4NM0dipFcAu+r5ehYnweHP8pd25rmdQrIbFWWWOaUceAMRGfVljOXjhE/Tn/uz8hs3pZnh33TThdJJjX+AgUrAPZ1OtFaE44l+OnxQfncCSGEWJQOdqeKZb7v3grWbY7ROe6Y+5nTwzSvC/PjR1IZC+11qZajPc7Uek8+F8L92B4udmQf27Qkmnnhq1dkMjW2rpoYrDCZVKbOxfYpCmNWllg59KVrefIxs2RNiKUVrNBav09rvUprbdVat2mt/7tQY0kmNYOecKqq7QymcXQ7UxHJdFV8pz9CicXE1aurGfFFCEbnL1tgoSSSOqtQZtrRXjcD7tlnKKSngsQSSfZ1XqrZ0JVjOkQ0nuRAl/Oypm3kEk9qAuP2/RPHBnns6MCUWRzhWGLBfmez6TAwlYVoQSmmF4kleLXbxdraMtbXlxd0LKk2p/FZB0O1nl29iFxmUn9mJmbSPtkXiRc0QGD3RfjPF7v4rxe7LrvwrxBCCLFQDlxwUV5sYWNDOesbbHSOqVkRTyTZ1+Xk1s0NXH21QqlUbQgFdDtSdSsGrUO87w97JwQRfuO+WhruO8RTQ2dpqiie9ELNW69qQWuoDDZMeeHCZFKSNSGAJRasWExGg1ESSU0iqRn2TJ1V4A5G8YRimBScGfKitcYViFJbXkRdeZGxztJI1x9fkNLpj/DCNG1NJzNsVMc/1DOKf0xF/QF3mItGcCccS/DSeQf//dIFXulcmCKU3jFXnmOJJL2uIJ0jfn5ybJBv7evJmUGxkL8vpz+K3RchkdT0OAN0jPh4/px91h1Dlsp7ark5fNFNJJ7kpo3106+8wCpLrUQTScJz6JLRexlTQTpGfPNaL2V/l5PkVN2IClSvYqxAJEEsIRkVQgghFq8DF5xcvaYak0mxsbGcHlcgc0HjaJ+HQCTBm8bUoyixmmmoKOaCw0+vK0QwmuBNN5dMCCLsWVtD68YI/kicLVNkTdywvpaPbb2ab/xlixTGFDMiwYo5so+pqzBde70e48T72vZavOE4A+4wzkCUWltRJvI4GloaV8HHF8Y81ueZc5X7C44AD7zQmZVVkfb8eTuReIJHXu/ntW7XvNapGG/snP6+0VDW6/FH4jx0uC8rmAKX17Z0Jg52u/j+axd5+HA/jx8d5HDPKL84PUwkPvP9MJ8FQMXMaK05PeSlva6MBqN1aCFVlVqBuRWf7HYG5zQ9LZnUvDSLmhQzYfdFONY/+RSwQhXXFEIIIRYbhy/CN58YnZC54PBF6Dxt5YZ1qeLc6+tthGNJRoyLCy+cs6OAm8ddbFlbZ2PfawlOGgWlt+UIRphMivt2pbIm6iJNk2ZNKKX4kw+18IgUxhQzJMGKOXL4opiVos5WNG3l/G5ngKpSK7vX1FBkNvFyp4NIPEmdrZiKYgsmtXSugo+tzJ9Ias5expSFaDxJIJL75Nvhi/CtfT0z7gRwObyhS4GIXNkLvnCcp04MZZ24LfQUizNDPka82VemfeH4rE4C57sAqJjeiC+CLxxnY2Nhp3+kVZakghVzyTzwhmIz6tgBZGU9HO/3LEig7JVOx6TZRXMpIiqEEEIsN994uZsdHz7Nxz5YxKPPZE+r/t+f+7A/spvqcKo16DpjqmqXPfXd+txZO6sSzROmcGw0t3L4v7fw3Z96MalU2/Rc3nvdGnBW8f2/mbqdqBTGFLMhwYo5svsj1JUXsaa2jEFPeNKijMmkpm80xNq6MoosJq5fX5upu1BrK8JkUlSVWic9+Z3qAL0QgtFEplvFBUeA0ALW2sjX3O+xJ3Ldztz7+qIryPExV3YdC5xZMZnj/R5ODXhnlNkxX11FlptEUk85peBydNr9KAXrGxZJsKLUAsx9msSRXjeQyqiaLMtixBfm2TMjQCqz5GDP6JyeazqRWJJHXu/nYPfEWhiLYRqIEEIIUUhaa/7mW4M49l5B9a1nUXXZGYmO4hGa7z/ML705dYyyzmgdesERSHXlO6o5/a3tEwINv3FfHQ3vOsxLrg7W1tkosZpzPv+GhnJOf+VGfiKFMcU8kmDFHGitsfsi1JcX01ZTSiKpJ9RySPOEY8STmqaKEgB2tVXTUJ5KD6+zpSKX1WVFOTMrfOEYr3WP8lrP/BSqmy/p15pOB1vq0ldlPaHYlBku6SKpwJTtVReS1vDUySEe3NeNb4qrydF4csLUlZVMa525PfJ6P08cH1yQ5+kY8dNWXUrpJF/k+VZsMVNiNeGZY+ZBjzPIoR4XP3ytl/MjEwvfhmMJfnJskNODXkLRBJ32wIIHDgZyZFuNzY4SYraUUiVKqVeVUkeVUieVUn9h3P8NpdQFpdQR47bLuF8ppb6slOpQSh1TSu0u6AsQQgig1xUiUuXij/5pFNuWwQnZkQcuONm1S1FalDpGWVVZQpHFxAWHnwuOALrWwx/94+iEQMP6BhtXbkuggataq6YcQ1mxWbImxLySYMUcBKIJQrEEDRXFtFaXopi8cn76CnitEZgwmRT3bG/mlk312IpTVz2ry6y4Q7EJVy7TLTwH3eGcNRuSSY3DOGnWWuMJxaZt8TcfhrxhDnQ5M2ljS1365Kp/mu4HI2O6lxR6jrzW0DnF/pdOIJcktebhw/08/Ho/3c4g/e4QFxyBCa0uR3zhSYOOMzEaiDIajLFhkWRVpFWWWC/rZP6Fcw7iSc3+LueEv1EvnXfgDqYCsicGPBw1MjEWkitHoFCmgYjLFAHu0FrvBHYBdyulbjCWfUZrvcu4HTHuuwfYZNw+Dnw1z+MVQogJXu8dRSn45beUs6q6JKu7XjiW4Mygjxs31GXuM5kUq6vLePlAnON9HpSCt7+pLGeg4W07VqE1VE/TxUOI+SbBijlIV7lvKC+m2KiSe3LAy9dfvsCZQW/WuuODFQA1tiJ2r6m59P/SIhJJPeFK+AVHAItJock9PWHv2RG+c+AiXXY/r3a7+MYr3fz7cx0cWqA07LSTA54F68xRCL5wqrVjrras49cLRuOMBqKL4g91R44r3WnuFZIWH4jE6XGmKlkPe8O8fnF0QtbLsT4Pfe4QfaMhnjw+SIk19WdvbItYXzjGQ4f6eezIwJwDfr1God21Rk/yxaKq1DovwTWnP8rrY4IR/e4QJ8ZkVx3uGeXiZXQQmSlPKJ417S4YjU+ZRRRPJjk/7KPbEZhTwVCx/OmU9B9Uq3Gb6s3yTuBB43H7gWql1KqFHqcQYmWLxBI8e3qE/3rUlfM49HDPKMUWE5ubKlhXb6NjzEWtdEH869prsx7Tbmrh6X/dyI+fCVBkNrFxkgsu91/TRkWgjq//5Srp4iHyylLoASxF6U4g9RWpAMTaujJe6x7FbFIc6/dw5apLVXJdgSjlxRaKLJPHharLUkXwRoMxKoyCeNF4kj5XiKvaqjg75OOCI8CVzZW4g1EO9YxSUWLlxIAXs0nx9OlhIrEk7XVlBKMJjva52b2mGrVAOViR2OzbIC5m8aQmEE0w4Jk6WAEw4o0QnGGdjlgiidW8cPHA/tEQ4Vgi59zBXO1Wl6NXOp2cGvTSVl3KgCdEOs5w19YmtqyqxBeO8Uqng7V1ZVSVWjnW5+GWTfWcGvRyZtjH7rU1JLXmF6dHiCWSRBOpINBkxaOm0jsaorzYkunAsVhUllrptPuJxpNT/h2aiRfO2UkmNWaT4mB3dqXxmX4uLldSa0aDsUy3lRP93kmDh4FInO+9djFTyHdjYzlv3NxAWZF89YlsSikzcAjYCHxFa31AKfVJ4PNKqT8DngE+q7WOAK1A75iH9xn3DY7b5sdJZV6wZs2ahX8RQohl7b0P7Oelp0pxv7CZVY+EeOsbS7OWH+wZZcuqSixmE5say/nRoT601iileM2o93TN2pqsx3zyl+r46fFDvODysWVVBZZJjlvX1tk49uXrOfYx6eIh8ksyK+bA4YtQVWql2JI6SbyuvZaPvKGd69pTxTPH1hJwGS1Kp5IOVoxN3e92BkhozYYGG+vqbfQ4gySTmhMDXk4MeNnX5aTOVsS7d7cRjSepKLFw9/Zmdq6uxheOM+wrTE2FpWrEG55R0coRXwRnYPp96w5G+drzndNOLbkcSa15/aI7Z7HIlfL7H3CnAgQDnhCra8r44PVrqCmzcmogleH0WvcoiaTmjZsbuXVTA/ftamF7axWbmyqw+yL85Ngg397fw0VXkNuuaEgFNPrdsx6H1pr+0RCra0oXLEg4V+vrbSQ1nB2ae+eeNK3hxfMOnjtrL2hNlPRnMJnUHOtzT7reoCdMIJLgzq1N3LShjgv2AN/ef5GeSQrpipVLa53QWu8C2oDrlFLbgT8ErgSuBWqB/zfLbT6gtd6jtd7T0NAw30MWQqwgvnCMVw8l8b20hepbz2JtzM7kjsQTnB3yZTIn2uttBKIJnMax7b4OJ3XhxgmdPq5ZW8PqTRGSWrNrdfWUYzCZlNSjEHknwYo5SBXXvPRht5hNVJVa2dSUSp1Kp+drrWcUrEhnXhzr8+A1alcc7BmlssRCS1Up6+ptROJJBj1h+kaDrKoq4V1Xt/LOXS00V5Vw/+427t/dRrHFzPp6GyY19RQBMdGZId+MpnaM+GYW1Bj2RkhqFjwtfn+Xk2/u684KWCSSmt48pOMXWiASxx2KsWt1Nb9xy3reuauFuvJiNjaW0+8JYfdFODngYWtLJVWlVswmxdo6Gyal2NZSxdZVlYz4wljNJu7d3syOtiquaq1iwB2e9f5zBqKEYgnaahbXFBCAVVUlNFQUc7TPvWymQbj8qc9gp90/Zdeg9PSXDfU29rTX8t7rVlNiNfHMmZFlsy/E/NJau4G9wN1a60FjqkcE+DpwnbFaP7B6zMPajPuEEGJBHO31YGnw8ndf9VG2ZZCLruyg+6kBL/Gk5uo11QCsq7/U6QPgtcNJOr63Y8IUDqUU9+9uQ2uoknoUYhGSYMUsBaOpE6R0CvJYNWVF1JUXZarm+8Jx4kmd6foxGaUU925vxheJ871XL/LcWTt2X4QbN9RhMinW1JZhUnBm2MuIL8LqmjLW1JZlpoy0VJdSaaSel1jNtNWU0THil4PxWRhbhGgqI94IDv/0wYp0QONyCjbOlDsYwzEm22PQEyIaX9pTdZz+yLTv33QL4FVVJZRYzZmMhvX15WgNTxwbAODatbUTHltkMXHn1iY+etM63nfdGjY1VaCUYntLJdVlVh4/NkD/mBom3lCMx48OTBqoShfYbaspzbm8kJRS7GyrwhmIcnLAy5AnzHNnRxY062ehOQNR4okk+7qmrp3jCcUotpgoNqZK1ZcXZ7LPvHlqjSwWP6VUg1Kq2vi5FLgTOJOuQ6FSf1zuA04YD3kM+JDRFeQGwKO1XpgWQ0KIFSGeSNIx4p+0ftqhHhcmBb/+zhoqSiz0OLMvqrx43kF0uJLdxjSP9fWpC6gX7AHsvgjhShef/lt7zikcH7xhLetNrXzlTxqlHoVYdCRYMUvpVOq1tbacy7c0VzLoCfNqtyuTejVdZgWk5oK999rVVJZaOdbvob68iM1NqXnzRRYTbTVlnBpIzc1uneaEaFNjOZ5QLHMyJ6YXS8wssOMJxaZsGZqWPqkd9obzEjQadF/6XY//AisUrTUXXcHMF+/LHQ5+dKgv57SVsY95pdPBtw9c5Hj/1K1xBz0hzCZFY2V24LCpspiyIjPecJytqyozgbyZKLaaeffuNsqKLDx7ZgRIZar89MQQXY4Az5+z53xc32iQyhLLrJ4rnzY3VVBVauWZMyP84GAvR/s8/OT4IIEl2t7WFYim/sZOEzj0hGITaoisNrJfllr20VIPQC5yq4C9SqljwGvA01rrJ4DvKKWOA8eBeuCvjfWfBLqADuA/gd/M/5CFEMvJL39tH7f8wetc//sHceSYyru/y8X6BhsVJVZW15bS5ci+yPbQ037cj+1hsKsEgJbqEiwmxQVngNODXpSCu28tyTmFo6W6lGf/Zhc/fsQk9SjEoiNVxmbp1KAXW5GZpsqJmRUAV6+pxu6PsK/TSZFRpGYmwQpIZWa8Z89qTg16aakqyZr7vq7exkVXEJNKXUmeyubmCl7ucHD44igt1anARjAax2IyXXaBPcGMUuRcwShKQSSexB2KUVM2s/fAXA16Quw05houhmBFOJbgocN9OPxRiswmfu2mdo73e4jEkxzpc2d1w0nzhGK8eN5Opz2AIvU6drRVT/ocA+4wTRXFWEzZ72mlFOvrbZwa9HJt+8SsiunYii3sbKvihfMOPKEYpwa8DHnDtNeV0e0M0uMMsLbuUrBSa82gJ8ya2sU3BSTNYjbxwevX0OcO4Y/EqS0r4pHX+/nZySHevqNlyf1dcAdjHOyevuuRJxSjcVwWXE2ZlbIiM72jQbZP0y8+31yBKN3OADtaqzJFzkaDUQ52j/KjQ33s/f9uX3K/q6VAa30MuDrH/XdMsr4GfmuhxyWEWBkc/ggHDiZxPrKHZBJ+cl+ID7/90ndXMqk52ufmHbtagNQ5wbG+Sxd0PMEYPQzw8b+sZufOdUDqe7+lupQX9sWoKknVt9gypgHAeErBrl0L8OKEuExy1DML4ViC88N+1jXYJi2iZ1KKu7Y0ceOGOq5sruCNmxtydmuYjNmkuKq1irry7APs9NyzpsqSaTtMWM0mdqyuptMeyFzh/9GhPp47NzLjcYi5SyQ17mCUduOEdjgPGS4DRmaFJxRjxFf4jJqOET8Of5Rdq6uJJpKpjjVGIdj9Xc4J2Slddj/f2t9DjzPITRvr2NpSSb87RHKSyFA8mWTEF2ZVde4so5s21vMre1bPOdOh3fi8dYz4OdLnZmNjOW/dsYrKEgtPnxqmc8y0IW84TjCaoKVq8U0BGctiNtFeZ2N7SxUt1aW88cpG+kZDfPfVi0uue0xS62lbzCaTGl94YmaFUorVNWX0jYYW3VS5gz0uXjzv4IeH+nju7Ajff+0iD+7r4eywjxs31BGO56fjihBCiPx57YILa6OXv/sPHw33H5xQPPP8iJ9gNHGpeGadjUFPONPG+8WOVNbnr76tKitzYpO5jZ9/eT0/eyFEfXkRNTO8eCrEYiLBilnY1+kkmkiyYZIexGkmk+K69lreeGXjlFeGZ6Oq1MqW5gqumuGVwJ1tVZhNitd7R/GEYowGYzh8S+uEZKnyhGIkNWxosGE1q7zUrfCEYgSjcZ4/Z18UxZE67X4qSyzcuqmemjIrnfYAJVYT77q6lVhCc2rw0hdxl93PE8cHqS8v4sNvaGfP2lraakqJxJM5UyEBApEESQ21k2SslFjNNFZOnYE0lepSK1WlVg5ccBKNJ9nVVo3FZOJtO1ooKTLzxLFBfniwl/7REIPGNJdV1XN/vkLYuqqSd+9uIxCJc3SKjhpLlS8SJ6nJ2Uq2raaUYDQxo2K5+WQ3Ok35w3FOD/lQKG7aUMdH39DO7755E5Uli3OakRBCiLnbf8FJsdXEb95fR3mrb0LHqlc6UvUorlmTClasrSsjkdSZC1VPnxzGPFrDzrbsrNX/80t1NNx3mNcDPVNmVQixmEmwYhaePj1MscVUsCJ6d21rnvEfm7IiCxsbyukY9tNt/NFzh6KL7kricpQ+AaovL6axooRhb37aiL7c4aRzEXSBicQT9LpCbGgoTxWtNAJsGxvLqSkrormyhC77pS/iI71uKkus/NLVbZQXp2ampbtq9E1SBDJda6GseOZZS7OhlKK9roxYIlUgt8UIRDRUFPO+a9dw+xUN+MJxHjs6QJcjQJHZNOPpXotJa00p1WXWZVlsMt0JJFewIj09bmQRtfiNJ5O4AlE2NZbzG7es45O3beBXrl3NnvZabMUyY1MIIZay58/auefPjuWsP/RKh5OrWqsosZpprS7Nyt4E+N7PvLgeu4bRvtSx0Rqjbl6P0RHkmZcj2B/ZzYnj2Vnfe9bW0LIhjFLM+GKnEIuNBCtm4Q/vuZKPvKF9whz5xWpTUznheDIztzuW0ASikka80FzBVLCipqyIqlLrjApyzocT0xSkXEjhWIJBTwhvKMb5ET8JrTMZSFtXVbKmtoydRpbR+gYbI74I/nCcpNYMecOsrS3LmotfXmyhusxK72ju+htB431sK1q4k7j0VJCrWquypn2ZTYqdq6u5b1cLsUSS8yN+mqtKMC3RxuOVJVa8eXqP5tNUwYrKUgsKcIcWz+t2BaIkdSogNtk0QyGEEEtPOJbgk1/u4Bdf3sBPn8++COMNx+i0+7lpQx0A6xvKsy7o+MIxOhL9fPTPBjPFL9vrU0GLbmcQdzCKz+bkU38zsdOHyaR4+44WosOVXNksmRViaVoaZ92LREWJNauw3mK3trYMq1nhj8QzV6zdwcWV9rwcjQailBdbKLKYKC+2EIwmJq29sFz87OQQPzzYx9df6eaZ0yOUWs2ZaRElVjPvurqVeqMOy3ojCNDl8OP0R4kldM6isW3VpQx4cndTCUaNzIqihcmsgNTn5+07Vk16NaKuvJgrV6U69kxX9HYxqyix4AvFl13WlScUw6SgvGRiQMtiMlFRYllUfw/tRpZHrrbYQgghlq4vPnWWQLmLhncdprjJl7XsYPco4aFKrl+XClZsaLDR5w5lOqe9eN5BUms+8vbqTD2KpooSisyKHmeAUwNTd/q4tnI9nsf3UBmsX9DXKMRCkWDFMmYxmzJ9lre3piKq7uDiuZK4XLkC0cyUgLJiMxoILeOMllgiSZ8rxMbGct68pZHbNzfw9p2rJs00qLWlMk467QEGPel6DxOnVjVWlhCNJ3NOUUhnCJXOonjtbCmlWN9Qjsk0+VXuG9fX0VRZzMbGqevYLGaVpVaiiSSRZdYa0xOKUVlqnfR9WF1WlMm+WAzsvghWs6J6kba/FUIIMZHWmiePDXLosM5ZM6zHGeAbr3Rz3boaipq8manZaT/4qRf7o7sxu1P1JtrrbUTjSQaNemdPHh/EPFqT1UXNZFKsrrGx9+UoJ/pTNcC2teTOnLjntlJe/kUpt9249KaqCgHzHKxQSn3L+PfT87ldMXdXtVZRWWJhe0uq4OboIrqSuBxprbOCFelpCukaC8tR32iIhNZsb6lkW0sVO9uqWTVFZwylFJubKrjoCnJywEup1Uxljqvf6SvMubqbBCNxSq3mKQMJ+VBRYuW9167JZI0sRRXGvl9uU0E8oYmdQMaqKrUuquDtiC9CfblMAZkrOf4QQhTCK51OPvalDt76jgRHj05c/jc/OUNspJJ/fd9uqsusXHBcClZorTka6uHNv93J9XtSF1/WGRnc3cZ6z7yUqkdx8kT2KduW4jZe+OomHt8bpL68aEIXwbR0S1L5ahFL1XxnVlyjlGoBfk0pVaOUqh17m+fnEjPQWlPKR29ah63YQvUiOzhfjnzhOPGkzgQr0tNvlnOtkG5nAItJ0TpJG9Fcdq+tpsRqYsQXYVVVSc4TtHpbEUpdSo8fKxhNYFug4porTbrDhG8ZFdnUWuMJTh2sqC6zEoknCccK/9lMJjUOf4RGmQJyOeT4QwiRd/s6nVgbvdz6yXMTakZE40mefimM+/FrGbpQwtrasqxC6F2OAEPeMO+/pzITTEjXy7rgCDDiCxOscPF7X3BO2PavvaOWhvsOcyzUw1bp9CGWsfmuTvc14BlgPXAIGHsGoo37RYFUl1kZDWQHKzpG/BRbTKyuLSvQqJaXdHHNdEvNdLeK5ZxZ0eMM0lZTisU889hnscXM9evqeP6cfdKWnxazidqyokmDFWULWFxzJUkHK7yLaErE5QrHk0QTyamDFcYydzBGc1VhA1/nRnzEEpo18nf4csjxhxAi717pdKAUnI71ktRbMI+5+HKw20Wixs3f/buPnTuL2XiunOfP2TPLnzk1DMAdW5oy9zVXlmA1m3j5QJyW6lQ9intvm1iPYtfqaprXh3EFYOfq6gV9jUIU0rxmVmitv6y13gL8j9Z6vdZ63ZjbvBwoKKXuVkqdVUp1KKU+Ox/bXCmqy4pwh6KZYo+ReIKnTg7x81PDmUI+4vKk25aulGkgo8EonlCM9jkUnr2qtYob19exZYoK1Q0VxTmDFYFofEGLa64kJVYTFpNaVu1Lp+oEklZtBBTdocJOjdNac7BnlFpbEevql04B58UmH8cfQoiVJZnUPH50gMOT1KOIxBOc6PfSUl2CLxzn+LiubE+dGqLIovjQ21LFMdfV23D4o5ki4T89MURDpImWMVNnTSZFc7yJb/5VCz9/IVXXa2uOehQmk+LOLU1Ehysls0IsawtSYFNr/cmF2K5Sygx8BbgH2Aq8Tym1dSGeazmqLrOS1JcO5M8N+YknNf5IfEJPZzE3rkCUUquZUuNE2mxSlFrNy3YaSI8z1Vp0bd3srwibTYrr1tViK548Q6KhophANJEV7NFap6aBLIPMiqvXVBd6CCilqMxji9188ASnD1ZUlqY7JBX2dV9wBnD6o+xZWyP1KubBQh1/CCFWnp+eGOL//HMnb3tn7noUx/s8RBNJfvuOTaDh2z/xZAU1nj45wnpTayYTND3Fo9sRJJZIcvBwks7v7Ziw7fvfXE712w9yNtZHa3UpFSW5v8uurVzH6GN7KPXVzcvrFWIxWmrdQK4DOrTWXVrrKPB94J0FHtOS0WbUFEj3bz4x4KGuPNWZ4fVedwFHtnyMLa6ZVlZsXraZFd3OANWl1sxV6vnWYBSM6hu91Jc8Gk+SSOrMFJulqshi4sYNddQvgjoFFSWW5ZVZEZ4+WJFpX1rA6S9aaw52j1JRYuGKpoqCjUMIIcRETxwbwNro5Zf+4OKEmhEAr15wAXDX1iZak8189U8aM4GHbkeA7nNWXv+frZn70tlz3c4AXfYApnovf/LPoxO2fee2JoqavLze685088vl/jsreOUXJdLpQyxrSy1Y0Qr0jvl/n3FfhlLq40qpg0qpg3a7HXFJdVkRTZXFnB32MegJMeKLcFVLFbtWVzPoCTPkmdh1QcxcuhNIjS37BMlWZCEQXT4ngmnxRJL+0dCcsipmqqmyBFuxmZ+dHOLZMyPApWKlS30ayOamCootZq5YBG1PK0us+JZRzQpPMEZZkRnrNHVUasqK6HUFGfYW5m9fvzvEoCfMNWtqMBe4s40QQohLYokkz5+zoxR005+zm8ZLHQ7W1JZRV17MLddbaX33kUzg4fDFUayNXh74ZjRzX3udDa3hxf0xTg0Y9ShuL52w7a2rKqkzLnxNVY9CKbj6aiWdPsSyttSCFdPSWj+gtd6jtd7T0NBQ6OEsOlc0VWD3RfjpiSFsRWauXFXB1lWVFJlNHJHsissSjCaIxJOZ4ppptmIzgcjymwbS7w4RT+o51auYqSKLiV+9fi1bmis43u/BG45l5nou9Wkg21urALKuqFvNqSkZ+VZZaiEcTxJZBJ0x5oN3mralaTeur8OkFD882MugJzTt+vPtYPcopVYz23LMRxZCCLGwdK5CFIYDXS6C0QSbGss5M+ib0DkqGk9yqHuUTZY2tIb1jTai1a5MseojvW5Ki0y8/Y6yTDDBVmyhIlDHv/1xI8+8HMFqVmxomHjBQinFHVc2GvUoqubvBQuxBC21YEU/sHrM/9uM+8QMpU+MfOE4d25tothipshiYmtLJedHfPiXUSp4vnU7U9NrGiuyu1vYiiwEo/EpvxSXom5nELNJ0VYz85alc1FsNXPtulTnwS57gOAyyKywFZtpqkxN/6ixFbFrdar41pu3NnHzxvq8j6fOlhqLI1DYYpPzxT3DYEVzVQkfuH4N1gIEawOROD2uIDvbqmbVSUcIIcTlO97nYdunDnDRqL013k+ODaIdVfz2HZuIJzXH+rKLZx6+OIpvoJwnv7SOo0dhrXHhpseVOhY81DPKlc2VE7Lm7rmtlNp3HGTQPER7vW3SDMBrK9fjfnwPFnf1Zb5SIZa2pXaE9BqwSSm1TilVBLwXeKzAY1pSyost7GxLdWFYO+aK+K7V1SQ1HOt3F25wS1jSqOjfUFFMy7hWnLZiC0kNoWVy1TqtdzRIS3VJXk60asqKqLUV0Wn3Z+p/lE1RmHOxW11TllVM8Y1XNvKRN7RzZXMlVzSVT6h7stDqylPP5/RP7Lyy1MSTSfyR+IyCFQAlVjObmyvotAcmXDlbSEPG1JM1CziNSgghRG7/+P1hzn/nKr71E/eEZVprHt8bwPXjPVSFUlnaB3tcWeu8cM5OcZOX//2RZudOMlmm3c4g0XiSc8M+9qytmbDte69ahar3cOjiKFe1Tp418ct3VfDKL0q56br8Z1sKsZgsqWCF1joOfAp4CjgN/FBrfbKwo1p6bt/cyHXGleq0qlIrGxpsHO/3EEskCzSypatzxI87GOPaHBX9bUYhyOU0FSQUS+D0R2mrzt+J1oYGG/3uEL2jIUwKSixL6s9XltW1E/dbukipUorbNzfQXl9GUZ5eY0WxhSKLCYd/6WdW+EKpYNZMgxUA21uqSCQ1Z4d8CzWsCYY8YUzqUhFZIYQQ+ZFIal73d9PwrsP0m4YmLO9xBvHZnPzBF13ceoOVNTVl/PS5cFanj71nR9jWWsnN11tRCtYY3+s9jgDnhn3EEjpnvYkbN9RRbHy3b2uZPFihFOzahdSjECvekjva11o/qbW+Qmu9QWv9+UKPZznZtbqacCwpnUHm4Hi/JxXwyVEssdzIAOgdzZ1quBQNuFPz+1sXeArIWBsaytEaLjgCbG6uWNJtHnMFK8ZaW2fjXVe38aEb19Jev/ABIaUU9bYiHMsgsyLdmnk2wYqGimIaK4o5MeDJ23StIW+Y+vJimQIihBB59uoFF55wjIb2EK+Ny5gAeLHDgVLwgXsrUQqa4k08/a/rM1093MEoZwZ93LG5MfOY0iIz9eVFdDsDmWmFO9uqJ2y7xGrmxg2pVqNbVkkXKCGmI0dJIqO1upSNjeXs63TSaffPeTvLrTbDdBJJzaAnzLo6G6YcJ9CNFSW0Vpfy4nlHps3VUtJp99Mxkv1+6BsNYTapTN2FfGisKObNWxr5lT2ruWtrc96ed75Vl1lnfCJdUWLlnTtb8xKwqC8vxumPLvnP71yCFQBbWypx+KOM+BY+YJPUmhFvhObKkulXFkIIMSvuYIzf/1o3sXjuTOFHXu9HO6r4xG0bsPsi9I27mPTs6REaK4ozrUav2W2i4b5DbL8q9f34WvcoSQ0N0aasbIu1tTa67AH2d7mwumsmren1gevWUuqtnTKzQgiRIsEKkaGU4q6tTTRVFvPzk8Nzmg5ycsDDf798gUi88FMeLrqCPHZ0gG++0p2pc7AQ7P4I8aSeUKsizWxSvOvqVjY02Hi127Uo9g2kKllPxxOK8dMTQ7x4PrsNcL87xKqqEiym/P0JUUqxraWK5qqlfYK3cZatSk0mxVuvauGG9XXsmqKF2eWqKy8imkjiW+JFdj2hGBaTmnUB1iubKjCbFCcHvAs0sktGA1GiiSRNS/y9LIQQi9HffnuAL3+2gW9OUo/iJ88FcT22h8ZoE5DqzJQWTyQ5cMHJLZvqMxmca+vKMDd4Gfalag0d7hkl4ajkz3+nKpNtAbC+wUan3c8TewOMPLybY8dyZ4A2xJqI/OwGLpyVehRCTEeCFSKL1Wzipg31RBNJLjgCs378+RE/gUiCk/0Lf8A/lVAswRPHBhjyhHGHYllTMPrdoXktJJieErGqevIpEWaTYveaGhJJTZd99vt1vp0d8vG15zt59YJr0ivpWmv2nh0hkdR4w/FMy9BILIHdF6F1itcrcistMnNte+30K45TZDFx44a6KfutX656o3bCUp8K4jE6gcx2mlCx1cymxnLODvkWvG5PurimZFYsDkqpEqXUq0qpo0qpk0qpvxi3/MtKKf+Y/xcrpX6glOpQSh1QSrXnfdBCiEm9Huih4V2HGTTnrkfhtzn57BddvPNNNkqtZh57JpDJkDje78Xda+O2Ky5N8UjXo0h3Dnm128m27ZqHH1bs3Hlp2+31NrzhOLrWw39+K5a1bKydO5nwWCFEbhKsEBO01pRiKzZzZpbF5hJJnTlxf73XTTKZv3RyrTVOfyRz4n2k100soXnX1a1YzYpBT+rk4OyQj4cO9fHsmZF5e+4Bd4jKEkumNsVkVlWVUFli4exw/or45RKIxHnu7AhWs4l9XU72d6WmpiSTmuSYwMXrF930OINsaEilQaZPsNJzMdvHdJMRM/OGDXWUWOfecrWyxLJgxbbSHUEKUWQzEInPWycOzwzbluaydVUl0USS7jkEamdKa83pQR+lVjM1ZXJVbZGIAHdorXcCu4C7lVI3ACil9gDjS/r/OjCqtd4IfAn4Qh7HKoSYQr87xLlhH0VNXl4675iwfF+XE6XgvfdUYjEr2pLN/ODvVmcyJB5/NoD9kd2U+eoyj1ldkwpW9LqCxBNJTvR7uX597YQCmOnjoqtaK3nPWyom/b6W4plCzJwEK8QEJqXY3FRBjzMwq3abw94wsYRmS3MF/kicjsuoezFbx/o9fPvARR4/NkjHiJ+jvW42NNhoqCimuaqEQU+YIU+Yp04NoRQM+yIk5iGYorVmwB2mZQZZBkoprmiq4KIrmMlSKITnztmJJTXv2dPGlc0VHOxx4fRH+NHhPp44NgjAmUEvL3Y42NRYzp1bm1DAsCeCOxjltZ5RrmgsX/LTMfJtVVXJlG3KZsJiNmErWpiWrcUWM+XFFkaD+Q9W/PjIAM+cvvwAotb6soIVLdWlWEyKAXf4sscymZODXvrdId6wsW5JF4ldTnRK+gvLaty0UsoM/APwB+Me8k7gm8bPPwLepOSXKcSi8NSJVDbFO3a2cG7YhycYy1r+/Dk7dbYi1o+pR9H67iOZLAdH0Qgb3neMO2661EJ8VXUJZqXoHQ1yZshHJJ7kmhxtSbe1VGJSire1bWWJl38SYtGQYIXIaXNzBUnNhMKKU+kbTWVV3LypnsoSCyf6PQs1vCxJrXn9opuKEgu9riA/OT5IJJ7MpNuvqirF4Yuw/4KTIrOJN25uJJHUOAOXn+7uDsUIxRIzClYAbGpKdbTocRamM8j5YR8dI36uX1dLXXkxN2+sx2xS/O+hPgY9YbodAfzhOC92OFhVVcJbtjVTbDFTV17EkDfMc2ftmJXilisaCjL+pcpsUqmgzzycz8z1RHwmqsusuMcd2C20SDyB3R9hwBO67OKewWiCeFLPeR+ZTYrmqhIGPKGcy7XWlxXkDETivHTeQWt1KdtWVc55O2L+KaXMSqkjwAjwtNb6AKlW6Y9prQfHrd4K9EKmpboHqEMIUXCPHx2gLtLIB65fiwb2X3Bmlmmt2d/l5Ib1l4LF6+ptRKtd+CKp776j/W6uv9aMyXTp+9pqNtFUWUyPM5jpmLd7zcRgRXu9jQffeSf/8Jm6rFoWQoi5k2CFyKmhvJjyYgsXXTM/qe4dDdJQXkxZkYUtqyrpHQ3hDS38iU+3I4AnFOOWjfV89KZ23nfdaj76hnaajPngLVUlaFIBgm0tlZm2kUOey7962mvsn8kqPo9XbyvGbFJ5rwuQSGq6HQH2nrXTWFHMNcaXrK3Ywu41NUTiSdbWlqGBX5weJhhNsGdtDWbjy7q5soReV5AeV5Ab1tdOO+VFZNuyqpK68vnpnFK5kMGKUmumm0a+DHtTn4VgNIH/MgvhzrUTyFgtVaXYfZGcBWifPjXMt/b3zHnKygvn7cQTmjdd2ShZFYuM1jqhtd4FtAHXKaVuBX4Z+Ne5blMp9XGl1EGl1EG73T79A4QQ0/JH4nznQE/O4HYomuDg4SQXvrcTk6saq9nEQz/3Z7IcOkb8uIMxbhtzwWVt3aV6FP5InIvOYM5AxJq6Mi44Arx83kGxp3bSul03XW/loYeQehRCzBMJVoiclFKsrimlf3RmVzuTRvvOVuOkfatx1TBd90JrPaPuE7MVSyR5tdtFebGFDQ3llBVZaKwoyTqhG1vE7qrWKipLLJRazZmTpMvR4wxSWWKheoYnRyaTos5WhD2PwYq+0SDf2t/Dj48OAHDn1qasKwZ72mu4e1szb9uxilpbET2uILYic1ZNiiYj4NNQXpyzb7iYWkPF/LV4nemJ+FwKoFaXFRGKJYjMU/2ImUjXQgEu+zM5L8GK6tR7fey4IFWb5vSQD08oxtOnhmedBdLtDHBu2M+162qosRVN/wBREFprN7AXeCOwEehQSnUDZUqpDmO1fmA1gFLKAlQBzhzbekBrvUdrvaehQbLRhJgPX3m2g8987SKHetwTlh3scWGq9/KFr/nZc42J1mQz3/l8aybL4cAFF9HhSq5bd6nQ9Zra1LFOtzPAiX4PGtixeuKUzbV1Nrrsfp58PsjQFJ0+pB6FEPNLghViUm01ZYRiCZyB6eewe8MxEklNvVGkr7LUSltNKacGvWitOdHv5T9e6ORwz+hlp3qnReIJHnm9nxFvhFs21WedgI9VbDXTVFnM+nob1WVFKKVoqiyecDIyW4mkpm80xJraslldJa0vL8bhi87bfpjKkDfMQ4f7AXjbjlX82s3tma4PaRaTic3NFVjMJq4w2mpuWVWZtT/X1v7/7d13fFv3eej/zxd7AwQIgHtTW6IGtWzLe8exYzt7p0ndkbS97W1726a/26a7yb1Nm9s2aZrR7DRxvOJ4xzPesqxh7S2Rkrg3xYnv7w8MEgTATXA979cLL5E4h9DBIQic85xnOAi4LNywOpRxP4vMArN4cpruRLy2LIdt5X7Mxujvxm0zUR6cegPU+GO3ZzG7oqGjD4/NhEFF+94cvdTFT3af5z9fOjXlzKx4sMJtn37mT7wXS7xZMESDrS8db8ZpMXJFZYBTzT2JVODJOnShE6fVmLbOWcwvpVRQKeWLfW0HbgLe0lrnaa3LtNZlQG+soSbAI8AnYl+/F3hWZ+MNXYhlLhLRfO8X7TQ9uJn/fiJ16twrJ1owGuBDt3lQCrZuNlD0vpF+FI+/0EfLw1toO+9I/Ew8s+JsSy/769oB2JCmv1SJ30HPwDCGQCff+9GwZE4IkSWSyy0yipc2nG/tTTnBHSte557jGDkpWxF28+yRRtp6BznTEh0L9dKJZvqHI+ysmHl5797z7Vzs6OP2dXlUh93jrnv3pkKMowIKeR4bZ1pa6R8axmqa3nSGSx19DAxHKJ3iVIyg28qhi530DgzjnONyirrYyNb31xbhmERjxjUFHi529rGhKPmD2m0z89HtpXOyjctBfNLGbPCOmSDhc5jZWRHAZDQwMBRh7/l2Cn32Cf9m0/HFHru9dzBRRjUbLnX08cyRBm5YFSLfO5LxobXmUmcfJX4HLT0DnGzqZs+5Ntw2M70Dw5xp6WHDFDJ5Oi4P4rKaMBmmH4e3mozkuiwcqO/gQsdlVud5qG+/zKXOPm5aHWZ1vpuGzj5ePtFMgdc+6Uazlzr7KPTaZ7RtYs7kA9+JNdQ0AD/RWj86zvrfBL4Xy7RoBT6YhW0UYtl740wrXc4Wwvfu4cigApKPS1483sTqfE+iVLUy5KLfW0dX/yAem5mz1HPz7w6wceP6xM84raZoVmlLD209g7i6A/idqZ+f8fGlV6/M5c7rHSnLhRBzQ46aREYeuxmv3ZxonDme+AQB36gTqeJRwY6LHX2syndTGXSy93z7jEtCIlpz8EInxX77hIEKiJ6AmIwjL/dw7ASjcQZp52dbe1AKiv1TS7ePZ580dvVzvLFrTspj4pq6+nHbTJMKVEA0KPGejYW4bTJScbY4LMZJ7//JGJtZsas6mHhtV4ejmTEFPnvidTadx26/PLsTQd4+30ZL9wAPvl2flLHQ3T9E78AweR4bYbeVtt5BjAbF+7YU4bQaqW+f+L0nLhLR1LdfnpXA0MZiHx6bme6+IZ461MDBC51sK/OzOt+NUoobV4dxWU08dejSpDKkevqH6OobSrzviIVFa71fa71Ja71Ba71Oa/1XadZxjfq6T2v9Pq11ldZ6m9b6VHa3WIil6UxzD5/58nEGMxwX/fC1c6hWL5++M4eDFzro6hvJvuvuH+LwxU6urh4puSqPTfw409xDe+8AdW2XufUae0qJRonfwaGLnfzy5X7O/3RT2uaYm0tzKM5xcHfJWpn0IUQWSbBCjKsox87Z1l72nGsjMk4X/PbeQawmA3bzSJaC127GZTXxzoWOxMSM2lI/A0MRDl6Y2aSQcy29dPUNsb5geqMg430sZlIKcqG9j7DbNuXMjPgV75eON/HYgUs8cXByJzzT0dw9MK0r7GL2+Ge5P4HTYkwq96gcVe5R6LPjspoo8Nlx28zYLVN7bZqNBlxW06xOBBkYinCqqYeqkAub2cjLJ0fm3h+8EE3jzfPaEpkcW8v8OK0mCn2T75kDcLyxO/qeMMPxsABrC7x8YGsxH9tRyq1r87hxdYidlSPd421mI1vL/LT1Dk6q/0z8fSZvFrNVhBBiqfmLb9fxnS8U8JOnulKWDQ1HePT5Xtoe2Uq5oZCIhtdOtSaWv3m6lb5LHnZWjmTuxseTnh5VurepxJfy2BW5Tt6p72Q4p51/+UZv2hKPQp+dr9x8LX/4Gy6Z9CFEFkmwQoxrR3mAIp+dl443s3ecGu223gF8DnNS7walFEU5dpq7o1dp4ynTBT4bb59vJzLNE3StNfvq2rGbjVQEXRP/QBo2sxGf3UzDDIIVbb0D0zoRtZmNuG0m2noHcdtMnG7u4c0zbdPejkyGhiO09QwQlGDFvJrtYJFSKpEBsSrPk/I3t7bQk8iqmG4pyGxOBDnR1M1QRLO5xMfqPA8X2/u4PDjMicZuXj/dysqwm5Dbyoqwm13VuWwq9gFQ5IvWB0+mf4bWmj3n2shxmBMHp7NBKcXKPDdr0wRFK4MulJrceOdLHX0YFIRmsdGqEEIsJUPDEfZ0nyF49x4uGi+lLD9Q38FwTjt/9ZUOPnirB4vRwP1PdiWyHB5/4TJND27G1D7SF6gk4EABp5p62HO2DYMibZPweDlvgc/GJ+7wZWyOuXGjkkkfQmSZBCvEuFw2E3dtLCDosnK6pSfjem29g0n9KuLifS9sZgM5sRKRtQVeuvqGaB3TuPNkUzffffUM/UPjTyJ443QrZ1p62VjiS4zWnI6w1zbtzIr+oWF6B4bJcU6vXCLktmIxGXj/lmJWhFy8cbqVzr7ZbWrY0jOABnLdMnlgPs12ZgXA1SuCKAWr81NLoGpL/YkAxnRKQXx286xlVmitOXShE6/dTJ7HRnnQiQaOXurimcMNhD1WblwdHeNpMRnYXJKTKGmJTxaqn0QZWmNXP41d/WwqycnaSFC7xUiRz87xhu6M2R+HL3by/NFG6touk+uyJpWiCSGEGPH66Va6+odwFXTz3NHGlOW/Ot6MUvDRd3mxmY2Eh8L84O+KElkOTZZG1n3iIDu3jpRdWk1G8rw2TjZ189LxZoID4bRlmWW50R4UH9leMu5niEz6ECL75MhpHi2WNzulFMV+Oxc7+hgaTq0jHByO0N0/lNSvIq44J/oBUOC1Jz4A4qnQo7MatNa8dqqFtt5BzrX0ZtyWk03dvHa6ldX5brbOsKt+nsdGT/9wUs3jZLWlaSg6FdetDPHBrcW4bCaurMpFo3nzTOvEPzgFTV3R9HTJrJhfs9lcM6404OSODQUE0vxuLaaRt/XpZVZEx5f2DgzNaBshWuZR336ZjcW+6BQetxWnxcivTjTTPxTh+lWhjCfwOQ4zDotxUj1z4oHPeHA0W6pCLtovDyayx+KGI9H3s6cONbCvroNLnX2TbsQphBBL0bmWXv7oa2czlhT/7K16aPHy0R2lHLrYmZLh99zRRqpDrsTn3pZNBkrfPzLp4+CFDq7YZko5tq4IOnn1ZAtv7I5w4ocb0pZwXFUVZIengo9uL5vp0xRCzDIJVsyjiqALt21xDGQpynEwHNFc6EjNREg3CSTOYzezrsDDulF15DkOMxajIam5ZV3b5cQB/+nmzBkce8+147GZuHFVeMZXUEeCJlNvstkeayg63WCF02pK/Gx0H3k5dKGTvefbpzyuMZOm7n7MRpV21KXIDrfNRMg9NyepVaGJS6CmE6wo8EW3dzIZDeNp6x3ghWNNFPvt1MSmyyilKM91MhzRrAi7xt03SinKAk5ONXczmCZIOlr8bybb76dVIRdGpdgXG3cHcKqpm2+/cprXT7eyOs/NvZsLyffaWDmJRsBCCLFU/fV3L/DPf5LLw8+mHuMNRzSPPtdL68O1VBgKiUTg+7/oSJR49A4Msb+ug2tWjjTPrAw66XG30Dc4TGvPAI1d/dQUp5bsVYfctPQM4Mjv4v4MJRznT1h485urOXNcjpeEWGgkWDGPcl2WWWkGlw2FPjsGFZ3sMdZEJ+43rA4nOjJD9CQk5LbS0DUS+Nhzrg272UhV0MWZlt60/Sxaewaoa7/M+kIvhhmUf8Tlui0Y1PSabLb1DKIAj312To62lvtx28y8cKyJn75VN24z08lq7uon12XNWlq8SGYyKO6sKUjKdMi26bw+Q24bZqOaVEbDeF4/1YpScPPqvKTX4Op8D26baVLji1fnuxkc1pxsGr8vREffIE6rMetjQR0WE+sKPRyOXQVs6x3giYOXsJuN3LWxgJvWhCnKcfD+2mIKfNnN+hBCiIXkyMA5gnfvodmSWuKxv66dfm8rf/X/Onn/LW5Uq5c//5w7kQXx+qlWei+62VU1Eqwoi0/6aOlJNG1fl6a/UFnAyUCDh3s2F3LdFZa0Wc01NUgvCiEWKAlWzIDRoKZUyjH2CnfAaWVDkQ/TLJx4zzWLyUDYY+N8W2qw4nzspGYqV/DDHhvNXQMMRzSXOvo409JLTbGX6rCLy4PDXEqTwbGvrh2DgjUFnuk/kVFMBgO5LmuiXAKiV2h/9lYde861jds7o713AI/dPGsnRy6riU/sLOXmNWG6+4eom8LIxkzaegcJzEG/BDE5V1QFCM3z9AeHxTTlYInRoCjw2WcUrGjvHeBYQxfrC724xmQ7FPjs/NqV5fgmkZVU6LPjtpk4cjG1M/xoXZeH8MzTuN3asmiPkCfeucQj+y5gjAWpygJOCRQKIQRQ336Z822XsYQ70/aj+OXhRgwG+OS7fVhMBlatjbD9vqOJ4MGjz/XS9NBmLJ0j5b/loyZ9vFMfnSyVrhmyvz9I+89ruSm8MuP2SS8KIRYuCVbMQMBlITjJ7u42s5GrqnOT7vM7LdgtRkpnsXv9XCrOcdDY2c/AqPnXp5q7OVDfwYZC75ROikIeK8Na09zdz8snmrGbjWwqzqHU78CgomMIIdrL4lRTNz/ZfZ79dR2sCLvTNkeaLq/dnFR2cbShi7r2y7x0vJn/ePEU979VR1vvQMrPtfUOpu3RMRNKKapCLsxGxfGGkZOz4YjmXGvvlNLy+weHuTw4PKkTQjH7PHZz2o7j88EzjTKg4hwHrb0D9PRPr2/F7rNtGAyKzSUz6yujlGJ1nodzrb3j9pbp6Buc1vOcDS6ridrSHFp7B9Aabl2bh3ueAidCCLEQ/ep4EwDbyv28dTb1YtDThxpYm+9JHLNUBl10OpoSwYOLxkts/NRhdtSOHP+VjR5Leq4NT09u2s+Bd1/n5JVn7Nx4lfQNEmIxkmDFDARdVopiDSQnUuJ3UBl0YTMbATAolZgS4F8kJ5R5XhuakcaNQ8MRnj7UQNBtZdeYQMxEwrErzs8eaaSu/TLby/1YTAasZiMrwm4O1HfQ1NXPT3bX8fP9F+nuH+KaFUFuWBWa1efksZnp6h9KdPM/09xDyG3lA1uLoycgPQM8sKc+UeoC0QBKW+/AtPtVjMdsNFARdHG8sZvHD1zk358/wb89f4IH367ngbfraO6eXH+NtlgAZrYDKmJydlYEFszkB880+jjEG1VOJ7uirWeAQxc7WVfgwWmdeWBxbYEHg0HxqxPNaZdHIpru/iG88xgg2FER4LeuqeSTV5QlRuAJIcRykmkqEkQzJ/xOC5++qpz+oQhvn2tPLGvq6udoQxc3r81L3Fee66Sho5/B4Qhaa9650MHVO5KbZ7qsJvxOCycau3nh1UHO/HdN2uaZkjUhxOK2MI6mF6mg2zrp7vOlAQdGg2JFONoUz+cwJ8ZuLpYTyrAnmkUS7/FwsqmHvsEIu6pyp3xi5rGZ8NrNdFweZHWeO6kB5xWVARTw37vP09jVxw2rQ3xiZxkbi32zfgLotpsYjmh6B4bpGxzmYmcfpQEHeR4bV1Tmcs/mQoYiER7edyGRUdLdP8RQRCdGsc62FWEX/UMRTjR1szLPTW1pDrety8NqMvLM4Ya0/TzGigdXfNJcM+vsFiOr8hZOM8XpNFgNuq1YTQZOTdArIp2XTzZjMii2lvmn/LPpeOxmtpTmcKyhO23PnGiwcfb6xwghhJiah/bUc8UfvZWUeRsXiWhePdnCSlMROyqix3c/fbIr0TzzxWNNDDR4uG7lyMWokoCDYa250H6ZurbLdPYNsSlNpl5ZwMFjBy7S52nlH7/aLT0nhFiCFk2wQin1PqXUQaVURClVO9/bA9ED+kKffVLR2ni62vpCL0qRyKoAyFkkfQUcFhMemykRrDh8qROX1TStcYFKKT6+o5T7rq7g5rV5icANgNtmprY0h+GI5qY1YdYVeJOWz6Z4nXtn3yDnWnvROtqMKS7XZeVd6/Np7x3kxVga40zHlk6kzO9kZ2WAD24t4YZVYa6ozGVF2M01K4I0dPaz93z7hI8Rn9Aik0CyryLXOSsNYGfLdF4DBqVYk+/hRFM33X1D9A8OZ2z6er61l0f3R4N5F9ovc7Kph9pS/6xkVcRtLc3BYzPxyL4LvHaqJekKXryMa756VgghxHL3pR9dYvc3VnP/U6n9hY43dtNyzsGz/1bF6aNmcvpC/Odf5CWyIB5/4TLND21hsHGkH1mpP5q1fLalNzFtKV1pZVUoenEn123h19/jl+wJIZagxXQp6h3gHuA/5ntDIJpOFr36aCTkttEwzkSJXLcVV+zAPeSxsbbAi9NiTCxfTFe/8zw2Lnb20dM/xLnWXmpLc6bdRG68E7pt5X7WFnoT+22uxFPkOy8Pcba1B6vJkBhpGleU46C2NIfdZ9tYV+ClJVaK4Z+jIJPBoNiW5qr0irCLow1OXj7RzIH6DjaX5GScJtPeO4jHZlowpQjLSfUCG1E53V4OG4q8vH2+nWePNlLX1kt1yM1Na8JJ63ReHoxe1RqKcPhSJ3Vtl7GaDGwq8c3Clo8wGQ3cu6WIF4818frpVgp9dopjB7OdsV4W89WzQgghlrNzLb3UGS4RvLuXRnMYSD4ueeNMK+ZQJ9/4/hA1NWbWr9eYP/oONTXR6451hovs+q0eNm3amPiZeDnd2dZezrf0YjIoVqbJWCwLuBho8PDh60NyvCPEErVo/rK11oe11kfnezviPDYzVlM04DBRZkHQldyEc1d1blKvC6c1c8f+6MjQhRMqDnttdPUN8fLJZrSGVXmzM5ljLKXUnAcqYOQEp7NvkPOtlyn2O9IGUTYW+wC42HGZlp4B7GYjjlEBp2xQSnHj6hA1xT60ht1nWjPWiLb1DkhzzQyMBjVnf1MWk4ES/+T62GTLdLNrfA4L5blOTjf3ENFw+GInrT0jvVsiEc1j71wkoiHHYWbP2TZONnWzrsCLeQ4OGj02cyJNuGXUdnReHkJBVt4vhBBCJHvg7TqUguLqfl441pSy/NWTzQRcFm67xoZSUBly0e5oAjQDQxFONHZzw5XWpKyIkNuKxWTgXEsPb5xpJW8wL+3nSnAgRNsjtWxyls/hMxRCzKdFE6yYLKXUfUqp3Uqp3U1NqW+as2X0FJCJghUBV/JJo81spCSQfEKTqW/F6nwPhdMos5gr8ayDwxe7WFvgmbPsgmwxGw3YzUbq2y/T3T9EoS/9vnZaTTgtRhq7+mntGcDvtMzLWEKHxcTV1UFqS3Po7BuiuTt1UonWmvbLsz+tZDEbHaBYk++h2D83f1MVuc45K1marpmUR1xZGWBDoZePbCvBZFS8frolsWxfXTsNnf1cvyrEltjrUWtYX5Q+22c2OCxGbCZDIrsJooFGl8204Pa7EEIsBd955Qwf/I/X+PKPG0l3feRnb9VTogu4Y0MBB+o76B0YmSKlteaN061sLRvJwi3PddA/FKGhs58jlzoZimhqYheE4gwGRaHPzptnWtm9J8Kh761L2zzzvTe7eeUZG9ddsbiPRYUQmS2oYIVS6hml1DtpbndN9jG01l/XWtdqrWuDweCcbevoYEVhTjT7wZThYHkyJ/Tp+h8oBeVBJxXBzN3lRz92gc82Z00f44JuKxajgaqQi+tneTLHfHHbTJyLNe4r8GUebRXy2Gjs7KeleyAlAJVt8dfEyTQNEC8PDjMwFFlU5UVzrbYsh6uqAxgNiq3l/rTppD6HGfc0JmeMVrzAsiogmu0x3SyggMvKdatC5Dgt1BT5ONYQHVXc2NnHq6daKAs4WBF2sSLsxmY2UBl0zmmfFKUUfpclkeGhtaahs08Cc0IIMQeePdzIn/7neV54dZDPf86dEjA409zDySMmjnx/HfnDeQwOa374eGciqFHXdpnm7gGuqByZGDd65Oi+ug4gWnY4VlnAwd7zHZhyO/n+j4fTNs9UCjZtUtKrQoglbEEFK7TWN2qt16W5PTzf2zbW6GCF1WTk1nV5fPLKsrRX9wKTCFakO9gOe2y4rCYqc11pf6Yq5OL9tcU4rUYKc+y8v7aYj+8swz6H5Qlmo4FPXVnG7evyFlR5ykx47Ga0BovRQO6Ykp3Rgm4rrb0DDAxHJvU7nUsOi4kCn40TaYIV8eaay6UMJB64CXms3Lg6nBIw8DstbCvzs6XUzy1r8/DazVSFXJiNI69fpeCmNWHWFswsK2AhBitgdiYObS/3UxZw8OyRRn705nkMSnHdyhBKKcxGAx/aWsJNq8MTP9AMBZxWWnoG0Fpzvu0ybb2D45aj2S1GastyWJ0/NyVrQgixGGkNT75wmcE0EzzifvB4B80PbeGG1SHy7tnDhg3JqRXPHW3EHOrkv34wxIdu9TDc7OF//aYrEdR480wrAw0eaktH+nDFm5ifbenh7XNteO3mtBnK5bFj310rcrn92sk1sxdCLD0LKlixmIwOVgCszHPjtplT6tVNBjWpK40+e+qJZUUs+ux1mMkd9f9dF0u7vnF1GLvFyM1r8rh1XR5KKQwGRWUwfXBjttjMxnkpgZgr8Sab+V7buAGY0KjfQcCZOagRN9fBnKqgi5buAZ48eCkxEQHgUke02WvuPGd/ZIPNbOTOmgLu2VzI+2uLWV/k5V3r85P2/dUrgonGW/GMCqvJSEXs78RsVFxVFe0js77IO+3fm8duXrDTV6pCM2/6aTIauGNDAZtLfOysDPDJK8qSmlp67Gas5rnv4+J3WugfitA7MMz+unbsZiMrQpnf87aW5bCrOsit6/K4a2MBTmt2e80IIcRC9J2ft3HHXRFqfu91Hj9wMe06xwbPc8PvnODGq6xE/O009/QnLX/qUANFOXZuv9aO02qitHqQG37nRCIL4vEX+mh+aAt9DSOfQQU+O2aj4nRLD2+daaNwOA9I/dytCDoZaPDwu9dXz9pzFkIsPosmWKGUulspVQfsBH6hlHpyvrbFbjFmrAOvGnPQnDPJ3gYhjzWpjMRkUKwuGLkSGA9cmAyKtQUerl4RTGRQlOU6k7anepwDd5Eqvu8KMvSriEsKVkwiEFCWO7dX2dcXetlY7ONEYzfPHW1M3H+2tRe/w4J7GYxyLPDZUEpRGnAmmm/ZLUbyY+U8eV4b5bnpy6huW5fHR3eU8qkry6mNTV9xWU1UhjKXXY2neAH1lhlrbYEnKZNkuowGxa7qINvK/NiyEJhIJ57VdLq5h1NNPawt8IzbBd47KhBcEXTxsR1lWW+OK4QQ2TY0HOHPH3yH7/y8LW2viePDdeS/dw/4O/nSDxtS1rnYcZnzbZe550Yn5bEMxjPNvYnlfYPD7D7TmlQSXBpw0O1sSWRBXDRe4orfPMrmTSOfP0aDosBn54kDlzh+2MSb31idth9FtbEIntmJuSN1OpoQYvlYNMEKrfWDWusirbVVax3WWt8yX9sydrrHaFUhV1IpyGTLBXJdVt5bW5ToaL+h2JcUgIjX+IW9tgk77Rf7HVjNi+ZXO+/ifT8marrospqwm404LcZJnaityffMadqiyWjgmhVBVuW5udDRh9aaweEI9e2XUxq4LlX53vS/s8rYgdX28swHOUopgm4rzjFTJK5dGZpW75eFWgIC0QyUuZrck23xv9cXjjVhMipqinzjrj8228VuMSZNYxJCiKXm8sAw9371Fb71SBuf/TV72mDAS8ebuXKbma2eMl7+jxUp67x8ItpQ+cqqYOKC2enmkdLT1061MDisuWH1SLCiIujkfFs0oDE0HOF4YxfX7rSkHAuVB5ycbe3FW9TDww+ptP0ottUaeeznprTLhBDLh5zRTsN4V8xtZiNrR2VETGVaRr7Xzsd2lrK2wMO2suSTrHyPDZvZOOHkEYhGravmuBRkKSnKsfPR7SUZT3zjlFKU5zoT878nku+zZ6XJZb7PzsBQhNaeAerbLzMc0ZQu0GDFZEssJhssyNQQtSLXRdhjS5R6TIXLauK9tcVJ44SNBsVNa8LjBp8m87c5n7aW+9lY7KMq5OLdNfmLdtRnfCLIUESzsyKAa4KmqOlKc+ZqGowQQiwEP9tTx5tvaQor+yn9wN6UE/5LHX2ca+3l2pVBdmw1EbjrLcpXDiat89yRRiztflaG3YnSjVPNPYnlLx5rJtLsYXt5IHFfid9BV98QHb2DnGzqoX8okrZ5ZkXQxUCDh49uL+GKbaa0n61KwcaNSK8KIZY5CVZMw0Q9Ia5bGWJVnhun1UjIk3m6RDo2s5Gb1+alNMk0GBSlAQdFvsmdhG4qyZnS/7ucKaUIjJMtM9pNa8LctGbiJoI2sxGX1UTeBAGQ2ZDvjb7GLnb0cbalF2Ns5Nd8i5csxU8WfQ4z2ysmTufcWOzjni1FE65nNKjEKN2xcpwWblwz/Wk1Lqspqf/MlVUB1hV6MzZpdNtMC77sxms3c92qEO+uKaAq5I71uZnvrZo6pRR5Xhv5XlvKuLuxnFZjUtAprngRZlYspT5BQoi59fNne2l5eAs3hlfQ42qhuz85EPHyiWYArqrOpSLoxBLu5PSoQEQkonn6pX4uPbCJAwdU4rjiVOPIOk//qo+Wh2o5emjkeLXEH72Yc661lwP10Ukf6wtTgxWhgTCtD2/hqoD0oxBCjE+CFVMUcFkmnLJgMChuW5/PfVdXZqyXn46qkCtRiz+RoNualAGSaayqmBt+Z/TENc87tWDVdPjsZmxmA+dbeznR2E2hzz5hqVA27FoR5Oa1eayPXVVZGXaztcyfMdvI77Rwz+ZCrlsVwmMzT5hdEXJbx+1VEHLPbN/H/3Z9DjObY8G/KyoDaUuAJup3shAV+x3cvCYv7cn8QnfHhgLu3Vw0YaZOpoanOU7LjMfUzpVNJb5EKaFS0d/TXRsLFkQAcqlSStmUUm8opfYppQ4qpb4Qu/+bsfv2K6XuV0q5YvdblVL/rZQ6oZR6XSlVNq9PQIgxTkXqueP3T3Ptzujn7YnG5Mlhzx5pxNyew6qwJ1E2ObrEY399B/3eVr7wlc5EVkZl0JUYl943OMwFwyU+9RcXk7I24kH+c6297K9rx2Y2pM1w/I17ArzyjJ2rdyzsIL8QYv4tvqPUeRZ/U58P1SHXlE5CR4+KKg86Z6XBnpgcf2xaSKYr/7NJKUW+186xxm66+4dSSojmg1IjfytrCzwYDYoVeW6MBsXOykDK+gU+Gx/YWpxUYjNRX4G5Hs0a7xOzocibuKrttpn5+M5SVuW5k7IS8rMQlJoLawo83LWxYL43Y8qMBpV2TPRY401nWYh9K8xGxTUrgnx4ewnv3VLEfVdX8N4tRdMqZxJT0g9cr7WuATYCtyqldgC/r7Wu0VpvAM4Bn4ut/2mgTWtdBXwZ+Md52GYh0qpvv0xTdz/vvt7BitgErNHBikhE88xL/TQ8sJkDBxQlficGBaeaRmVNHLqEwQCffLcv8VlXGXJxvq2XSERz8EIHw1rz7usdSZ+F8X5ZZ1t7ePtcOyvD7rTv1UrB5s1qUWb3CSGyS4IVUxRPcZsPU00DLvY7EqMFS/1OvHN8cidGxLMHgm7rpE6qZip+srw6z03hAuidEPbYEmURDouJbeV+cmOlNmUBZ1Kmj1Jw18bClIyFiRpWzvUISpfVRL7Xxpr85BRWp9XEbevz+cTOMnyOyU2SWchyJ1kCtRh5xglWZOp3Mp9yXVaUUuS6rBT7HTgsCzP7Y6nRUfGzOXPsprXWnQAq+uFrB+LzEu4CvhP7+n7gBiV1OmKB2H2mFYDaMj/FOdFeE6ODFfvq2ukblTVhMRnI99qT1nnqYAPrCrzkjMqELAs46bngpr79Mm+dbQNIZB3GuawmfA4z++s6OHyxk/yh/LSTSIQQYrIkWDFFiy1lOj7GtNhvn9aEAzE98WCF0aCy0siwOuSiPNfJlVW5c/5/TcbYvi6jp3JYTIakQETAaUlbWjFRw8psnMhdvzqU0j8mLsdp4YrKXCwmw7gTghY6mzl9X4elwGfPHKAdb9l8CXkW7+tosVNKGZVSe4FG4Gmt9eux+78NXAJWAf8vtnohcB5Aaz0EdAApKWNKqfuUUruVUrubmprm/kmIZaFvcJgv/uAiB2M9IcZ69VQLdrOR1fnRsc4lfidHLnUllj91sAGjAT5156isiaAzEay41NHHwQMGbh7Tn0u3eGl6cDMP/7KH1061UuCzEXSnvmcV5zh44p1L9F5084svl6WdRCKEEJO1NI9QRcKKsBuP3YzPYSFHMiuyZnRfhmwEK3wOC3fWFKSM4cwWpaLlHhVBJ8V+RyJINrI8+aLj6GBGpiksTqtp3Gk6c51ZARP3vVgRdrG+0IthkfeEGS8DYTHzjhOgHW/ZfAm6Fl62x3KhtR7WWm8EioBtSql1sfs/BRQAh4EPTPExv661rtVa1waDwdneZLFMffEHDXz+sx5u+vP9fO2FkynLXz3RQikFiZ4+K8Iu9u7ViQyHJw5eoqbIl1RKWR12c641WuLxw8c7aHpwM/nDeUmP+76b3ZR8YB9HB+t4+1xbUqnxaPF+T9fsNPPzh40yelQIMSMSrFji8rw21sVGqfoW4MH5UmQxGfCMat43XwGEbMrz2Lh5bR53bSzkvVuKklJH0ykPOhNXdMZrQhpKc9UmzrkAUuSVUly1QLJZZsKzQJtNztR4PSs8NtOCazwsmRXzT2vdDjwH3DrqvmHgx8C9sbvqgWIApZQJ8AItWd1QsWydGD5P5Yf3U1DRzwNPdyeVWTR29XH8sIm3vrk6kdHg6s7l0HfX8fruYc639nK6uYfb1icHIsoCTrrqXVzo6KPN1kTh+97mPTckX3SwmAzcssvKk4cu0dY7yLby9MGKsoCTgQYPf3zLShk9KoSYMQlWLANbSqM1hZJZkR0+hzkpk8CRhQyA+VY2xak3LqspcfVlvH4P4528OTKUZ2TbYs+qAPAs8LGr02E2jl+CpZRaUNkVBqUITBDkE3NDKRVUSvliX9uBm4CjSqmq2H0KuBM4EvuRR4BPxL5+L/Cs1lKZL2bPqaZuXn9zOKXfw9BwhN1n27jzegerLMW88O/VSWUWr5xowRzq5Kv/1ZfIaLj+SgvBu/dgCnby/NEmBho83LAqucTD1J5D04Ob+dlTXew518amTQpTmqbst63PZ2AoAowcW4612VVG5OmdqLb0y4UQYiokWLEMxMc7SmZFdow94chGGch8m86I3iurcnFYjOP2UhkvLX45ZKxki8e+9PbleFkVU1knW/xO87ijeMWcygeeU0rtB94EngZ+AXxHKXUAOBBb569i638TCCilTgB/APxJ9jdZLEVDwxH+5Gf72fW/3ub2O4dT+j0cvNBJ78Awu6qDXLndROCutyirHkwsf/5oIx6biXtudCUyGraV+7GEO3n1ZDMPPdNNy8Nb6KxP/sx+381uSj+wj4P95zl6qYvaDIGIa1YGMaBQLT6qQ+706+y08MSjJin/EELMiqV3hCoyclhMWM0G+gcj870pS9rYDJaFUK4wl5xW47jlGpnkuqxcvyo07pSbTJkVRoNK25RTTM9SzKyYzPSjaM12z4TrZcPYprQie7TW+4FNaRZdmWH9PuB9c7pRYsm50H6Zz3/jPBs3Kj69qzzthYzvvHqWH795HmtYsfbTh6kZc8b/yslmAHZUBNhf144l3MnJ5i62OP1orXnpeDM7KgNJGX8Bl5WqkItnjzZyYqibe//YyMaNq5Ie12RU3LTLypMHLxHRsKkkfbDCYzOzzlbC8w9X8c5nFRs3pq6jFGnvF0KI6ZDLOMvM2BNpv9OScdqBmJ6Aa0ywYomXgZQFnFMeqxtXHU5/ZSbOZjbiTtNPYaGUgCwV7qUYrJhE1oRvgWRWmI2KjSW++d4MIcQc+qv/usD3/6aQf/j+JT7/jfNpR3o+uKeO3P4Qd9YU0GZrTOn38OyRJnL7w+S6rInMhvgUjxONPVw8ZePaFaGUx726Osjb59rp6h/i3ptcaftI3LI2j0hsm2qKfRmfxwN/voYXnrRK5oQQIiskWLHMjE25X1/kZX2hd562ZmlKyaxY4uUKpYGpl4BMRciTWgqSjbGly8lSLAOZTCBioZTGrS30ymtaiCXu+HAdO+47Sthj5VtfyE8p8Wju7mfP23D6xzXYu/00dQ/Q1TdS4tE7MMTru4c4+aP17NsHhTl2rCYDxxuiwYqfPtVJ04ObybmcOnlm14qRRtA7K1Om7AJw9YogaLB1+MlP87kbZzIZ2LRJSeNMIURWSLBimSnxj5xYmgyKNfkeaop9GJdAk8CFwKBU0jgwWNo9K5SC0oBjTv+PoCu1FGSpZ6tkm8NiwpymmdpiNrnMivlvaGk0qIyN6oQQi0v3qODCaB29g5xq6ua9N7vYuc1E5Qf3p2QmPHOoAXOok69/p59rdkTfm041jZSpvXisGRXo5Mtf76WmJvreURZwcvhSZ/T/sDdT8oF93HpNaqBhW5kfAwpfbzDjuHC/00K1qZCLD2xm//6l9XkghFi8JFixzFSGnIlxfdVhFzazEZfVRHVI6qVng89hTgn82MzGBTcicbaEPbY57x2xOt9NiT85ICJXoWffUisFmUzWhMduwmKa34/BlXnuJdkzRIjlpKGzj5s+v5cNf/k0//iDiyklHm+caUUDOytzWRF20elson9oOGmdn++7iLsnwN03uqiKHZPFSzwAHt1/AbfNyEfe5U1kNazMcyfWOVDfwaaN6SdUOa0mdgUqqb9/U0pGx2iP/uUGnnvcIiUeQogFQ4IVy4zVZKQ86MRiMrC9fCQVMFMzJTE1ORlGDzqWaHZFqX9usyog2gTx3i1FVARHsoKc0rNi1i2kyRgzZVBqUsEXpRQf3lYy7ojcuaQUbC3zz8v/LYSYPZ//xnme//dqeo/m8fd/4E8JCLxyshmL0UBNsZfKkIuIhjMtI1kTnX2DvPT6APX3b2L/fkVpwIHRoDjRFA1EDA1HeP5oE9euDGEeNTWoOuTi/HEr7T2DHG/sGrf3zX/94Uqefsw8biDCajawebOUeAghFg4JVixDq/LcXF0dTDqxzvPaKPBlrlEUk5PvTb8PXUu0bKFkjktARhs9LWGpBn/mkz9DoG0xcttMky5ty3FauGlNeI63KL3SgGNJ7XchlquTw/Vc99kTXH1LP+s+fjAlIPDSsWZKdD4Wo5HKWOD9ZONIsOLxAxdRgU6++u1+amrAbDRQlGPnWEMXAK+fbqX1nIN3rc9Pelx3Ty5ND27mC9+pZ3BYs64gcw+y+JQOCUQIIRYTCVYsQxW5LtYXpX6gSXbFzFhMhozNSpdi2YLFZMhY+zoXKoMuDLGjLMmsmH25aXqDLFZTzRIJuW3kZQg0zqVCX/aCfUKIudHRO8iZlh7uuM7Bqnw3rfZGYKQOpKW7n0PvGNj7X2vYty96DAZwsmmkxOMnu+so8Nn4wK3uRDBhRcidaJ75wNPdND20Ge+Y5pkffZePyg/v5xf1hwFYV+iZw2cqhBDZJ8GKZShdPSNAVdCVdkykmJwNRd6M/RuWYpPNfK8tq41Z7RZjIvtHMitmX6576Vzhn86Uj/mYipQpE0sIsXBorfnh62f5yH++zoPPdKf0o9h9NtqPYlu5n6qQi96BYRq7+hPLXzjWhDk0kjVhtxjJ89g43hjNmmjs7GPPuTbu3lSYNAa8KuTi5BET/YMRLhgvselTh9m5Nfmzz2RUfOR2LwPDEawmA+W50n9MCLG0SLBCJBgMik3j1DuKzJSCzeNkpizF8aWFvuxlVcStLfByVXUuIffSyQJYKAJOayJzZbGbTv+NFWF3VpttKsW89coQQkze154/yR9+7RzPvjzApz9mSelH8frpVkwGxcZiX6JccXRjzCfeuYTfaebem1yJrInKoDORNfHYgUv0X/Jwz+aipMd1dgdofGAzP32qi3cudHDNTnPaEo4PbC1GawgP5i2Z93AhhIiTYIVIsqk4J2XygphYrss6bkCiptib6O69VBTNw+tkTYGHrWX+pAZjYnYYDYoc59JosjmdYIXFZMjqVKSA04LVJOVMQix033usg7ZHagl7rFz9W8dS+lG8crKZ1fkebGZj4nP+5KjGmC+fbOaaFcGkrNbqsJvD7xgYHtY88mwPrQ9voftC8vvPx+7wEb5nD79qPUFX3xCbM4w4XhF2U+Mo5fD314076UMIIRYjOeIXSQwGxbs25M9oMsBCi+xno1RhouakVpOROzbkL8orqbluK/YxPSLMRkWeR1LYl5ql0rdiuu9fa7NYChKWvx8h5t2zhxu58o/e4r7v7qaxsy9leUfvIBcMl/js3zZSu8VAq60pKbuhp3+IQxe6KKUArSHktuKwGBOZFXvOtdPTP8wta/OSHtfVncuF+zfxwDPdnIrU854/PJsSBPHazWytNfDEwUsA1BT5Mj6Ph//3Op7+xfiTPoQQYjFaNMEKpdSXlFJHlFL7lVIPKqV8871NS5XNbGRtwfSaNCkF2ysWxig+v9PCx3eWsqs6d87/r4JJlEQopViV557zbZks5yQmlCgFN6wKpdTW53ntWe1XIbJjqQQrPNMMVhT67ORMo9/FdMxHQ08hlhOtYc8eTW//cMZ1/vZ7F3jjG6v4+bOX+fJPGlP6Ubx6qhkUfPBWNyvCLurbLzM4HEksf+l4E32X3Dz4pVL27Yt+zpcFnBy9FO1H8cLRJgYbPVxRlXwc8sl3+wjevYeXWk/QfnmQO653pC3xuDUW5LCaDKwIZ878kkkfQoilatEEK4CngXVa6w3AMeBP53l7lrRVedMLVgScFraU5qRciZ8PW8v8BFzWlIkVhTn2Wc/+mGz/hhVh94I4mPDazXx8ZxnrJriSvKHIS4HPnnIVeKmVtIioXNfib7JpMxszNrqdjNX5c99N36AUxTlSbifEXPrXnzZyxY2XWfc7r/P9X3SkBCJ6B4Y4rS/wmb+8hNdu4qufD6eUUbxwrAmb2UBNrB/FcERzrrU3sfyxA5fIKe7l4QdVIquhOuTiwP5osOSZl/toe7iW00eTg6C5bitbNsPP910Aoscr6Vy/KoTWkDeUh9GwmA7ZhRBidiyadz6t9VNa66HYt68BReOtL2bG6zBPWNqQTpHfgdloYMM8dNYPjmq66LWbE1kMIbcVszEaISjw2XjPxsJZnXzgtplw2yZ3NdZtM08qC2MuKQW3rMvDZjZy05pw4vdsNKikQEpF0Mm1K0JA8tSCXJdlXn6/Yu4FnPOTWRH/+5wNMylhAygJzH0QYUOxlxzn4g8MCbGQPdN4nML3vc3lgWH+x6/b0zbGjGjNh27zsG6DZsMnD6WUUbx4rJna0mifpIqgE4BTTT0ADEc0zx9t5JqVudRuMSQ+Pz29uRz/wQae+VUf57nI+//kfNryjNvW5xPRYGzzURVMfwGgKuSihHwOfVf6UQghlqdFE6wY49eAx9MtUErdp5TarZTa3dTUlOXNWlpWTiO7In61cH2RN6sZBFazgffXFnPv5iK2l/u5cXU40czKYFCEYpkB168KYzEZZrXfwlSnYmSziV86NcW+pG3eVR2d235lVS5Fsd+f02rk9vX5iX0Y9tgSv89rV4Yyjr8Vi5vbZpqX8p58r33apRtjzTRYEXLbZjV4MpbTauSKysCcPb4QAvqHhjl0sYNPvjuH4up+bvqdUykBgxeONmI2KraV+1mV56bV1giMpF+cbOqmru0y1aYitIaKYHLzzD1n22g+6+C2dflJj/vh270E797Dm52n6R0c5vZr7WmPh25ek8dgo4fGB7Zw4ED69xylFC/8/Saefkz6UQghlqcFFaxQSj2jlHonze2uUet8HhgCfpDuMbTWX9da12qta4PBYLY2fUkqz3VOaX2DUhTlRE+C3TZzVqeKrCvwYjEZKAk4uKIqN+XqaIHXTqHPnsi+mM3mdsVTfJ7z2VjPbTOlnCgV+OxcvyrE5hJfoiZ2Tb43aeKGzWwkx2Fhdb5nys9XLB4Gg8Jjy/6Y3TyvjfAsNZ+dabDCOCq4mc5Mx5tetzIkU0CEmGMH6joYHNZsK/dTEXTS4WhKCRg8d6SJMgqxmoxUBF109w/R0jOQWP6zt+oYbPTw7S/ks29f9L3F7zBzMtY884ePd9D00GZy+pKPNVfluSmo7OO7r50BohcI0qkMOrnrBgdf/Fr3uIEIg0FJPwohxLK1oIIVWusbtdbr0tweBlBKfRK4A/iI1mOrD8Vs89rNU7rameu2JNWKr5lmk86pMiiV8WAgLt9nY0PxSOnCbDa3m2raeK7LmvWDDovJQE2xl7s2FqY9Uaop9qGUojrkxmhQrCtM/d2V5Tq5ZoUEAJc6nyP75Ql5XtusZTvNNFgBmbOlqkIubl+fP+2/3+qwi+rwwmmyK8R80Br27iWlh8RUDEc0b51t5VLH5bTL3zzTBkBtaQ7VITdnW3oYfdh4of0yxw+b2PvtNezbB5XxkaOxQITWmgffrmdHrYGHHjQkggnluU6ONUSbZ9YbLlH76cNcuS35PUcpxXUrQ/QNRrCPGmc6llKKr350C791b64EIoQQIoMFFawYj1LqVuCPgTu11r0TrS9mR3HO5Escxta7VwVdWM0jLzHHHDTdNCjFTWvCE56gFPrsVIdGThICTsuMr5ACBFwWPJPsVxFnMRlm5YRqsgp8Nj66o5TrV4WT+nqkY7cY2VkZSHvCelVV7oJonCrmljdL0zBGy/PYkjKOlJp+BsNs/G2NnX4D0YyLXdW5lOc6MzbDm8hVVXM/mUiIhe6ff9LIe+6OjNuDoXdgiL/6+UF+9fpg2qDG7/94L+/+y4Ps+Ltn+cFjqc0zXznZTInfQcBlpSLopGdgmObukayJxw5cxBzq5NvfH6SmBipimaQnY/0o3j7XztljFt6/tTgpq6E65OadAwaGhzWHLnZy9U5L2kDDjWvCQPSijUzOEkKI6Vs0wQrgXwE38LRSaq9S6mvzvUHLQdEUOtaPHflnMhoSBwAAH9xWwsYJMiCm6rpVwUllcNjMxqQDBqUUoQlO3CdjuqUu2RwRuaU0Z0oncLWlOWnvlwOu5SFnjjIrMl05dNtMOK0mQp5oxlGe18av76qYdhbPbAQrCnypNebbyv2JIN7OisCUGxA7rcZ5yVoRYiFp7Orjn/e8ybWfPTFu6cPXnj/J1x5o5b33qpSgxtBwhF+80EvbI7X0HM7n9z7jSFonEtHsOdtOuSpA65GS1tPNPYl1HtpbT0XQmRgZWuizYzEZOBXrR/HNR1ppemgzRTq5H0VgIMy5/67h33/WTHf/UMZjmiurcrEYDZRSMKMMEiGEWO4WTbBCa12ltS7WWm+M3X5zvrdpOSj2Tz6zIl13+3iww2s347WbuXZlcNayCuwWI2tmMGZw7EjT6SgLTK2vR9xEGQ6zKeia2kmVknzUZc03R1k/d20sxJcmayNekmU1RfuiXLMiiNNqSvS/mQqb2Yh7Fnpu2MxGPrOrgk/vKmdjsY/tFX52VIz0ejEYFLeuy59S9kfeLLzfCLHQNXT2MRzJfHb+4rFmlIKTw3UZA5hdfYN881enMYc6+dCfpU7S2Hu+nSFfO1/8ajfFtS3c8nvJzTOPNnTRdt7BE/9Syb59UJEbLcOIByIudfTxTn0nd9YUJH7GYFCU+h2JEo/zXGTnfcdSSjw++W4fwbv38PD5Q0B0vHc6LquJ/3vD1Tz0pVKZ4iGEEDOwaIIVYn64beZJn1inOxGJTweJj+tUSrE5w5X7qVqd78FknP5LOM87s4CBUlA4jRMqGMmsKMt1zGmtqtVsmJe0frF4pfs7nqlct5XyXCfv3VKEYcwLfnT21q7q3MR7hc9hmXLgoabIO2uTalxWEx6bmetWhbiiMrV8w2s3U5lh3GA6szmBSIiFqL13gKu/+Bz/37fOZ8wmeOrgJQDOt12mobMv7Tpff+EUPQPDOK1Gul0tKZ+RvzzciNEAH3+3j+qwizZbY9I6Lx1vwhzq5Ac/GqamJvo5bTaqRGbF4wcuMtDg4Y4NyVkTlUEXb++FwaEIRxu6uP7K1BKPoNvKxo1woqkbs1GxYpweNHdc5+SBB5RM8RBCiBmQYIWY0Ae2FrOxxDfuOkqlTx/3OqJNOkenTK8t8CQ14pyu9YXpr2hM1kyncnhs5qSJGVMRdFvJdVm4s6aQ2tLp1b9PRjbLTcTS4LGZZ73kZ3Ve9IDebUt+LyjLdbBh1N9xxZiT/6mMBTYZJm60O9vi03MmI10fDLEwKKVsSqk3lFL7lFIHlVJfiN3/A6XU0dhUsm8ppcyx+5VS6itKqRNKqf1Kqc3z+wyyIxLR4zbGfPpQA131Lr78v4JpswmGI5pXTrawMnaC/9qplpR1uvoG+ebLp9leHs1mije8TPp/DjewvtCL125mZZ6bM2OaZz57pJHSgIMbd0VLy4wGRVGOgxOxx3rwlz20PrKFnovJgYbQYJgj31vHNx9uo38okrHE49a10X4UK8LucY8BlEKmeAghxAxJsEJMyGw0sLMiMO4HrstqyvihXZRjT1wtjT9e5u7Yk9umDUVe/GnKTqbCbTPPKGU8xzn9K9Beu5lb1+VjNCiuqAzM2TjTbJabiKVhtseXKgUr80ZOCuIBCbfNxG3r8sfNhJhKz5yVeW6c1uyOXS0NOCdVCqIUhGZpNKuYE/3A9VrrGmAjcKtSagfREemrgPWAHfhMbP3bgOrY7T7gq9ne4GzrHRjiij96i9vvHM5Y1vDQ2/WYQ53k3LmbnKLUPuh7z7fT3T/Eb19XidNq5KXjzSnrfO2Fk/QODPNnt6+iOuzifFtvUllJQ2cfxxu6WW0pRmuoDrnoHRjmUixLo29wmD3n2lN63lTkOtmzV6M1XDBc4q7/eTYl4+HX7swhePceHjp/EMhc4nHDmjBaQ8FwvvSjEEKIOSbBCjEpNrORkDvzCfV4jeOqQi4CYwIL4TQH7majYlPJxCUi1WEX168KTbjeZMwkSDDTRoTxQILBoNhZGZhg7Wn+H5JZIaYhXf+Z6aop8uEeNTGnMhjt87KzMjBhhtVUyqxmowfNVBkNKvF80qkMubh5bZh8ry3tyGCxMOio+CV8c+ymtdaPxZZp4A2gKLbOXcB3Y4teA3xKqfzUR148OnsHx82aeOVECxdNDez89SNpyxq6+gZ5/XQrN60JYwl38sTBiynrPH7gIgONHq6uDlJb6ufVk8mZFZ19g3z75TPsqPBTU5xDZdDF4LCmrm0k8PHYgYsMNnr44d8Vjxk5Gi3xeOtsGwNDEa5dmRysyO0P8c5/reWRZ3to7unnpl2pI8TLcp1Urx7iyKUunBZjxp5Ua/I93FG0iif+uUL6UQghxByTYIWYtPEmX4ydBDJaRa4zpWljuiDBqjzPhA0zDUpxzYrgrDWBzJtBavZsTk0oz3VOebrAZEhmhZiOgimUX4wn4LKwqzq534PPYWFF2D2p5rh+p2XSGVQee3azKuLW5KdefbWaDWyv8HPH+nzWFni5Z3NRmp8UC4lSyqiU2gs0Ak9rrV8ftcwMfAx4InZXIXB+1I/Xxe4b+5j3KaV2K6V2NzU1zdm2z1RjZx/rf/d1br1jKOPJ9zOHG1AKjgydZzgSSV1+qIHei25+85oKKoMuvv+L5HGikYjmh4930PnzrZw9bmFnRYDTR8209wwm1vna86doP+/kz25bDYwENk82jZSCPLCnnurVQzzykIGamuiIdIATjdHGmC8db8JoUGyvSL4A8L5bPATv3sOLLScAWJehjPTWdXkArC3I3P9GKcW/fq6Snz9skH4UQggxxyRYISZtvMkg42VWpAss5LqsmJJGicKmEh9BtxXPONMIyoPOpKu0MzWTpnezPeLx1nX5XLcqhMMyO1dgDUqlZLQIMRnFUyi/GM8Nq8Npm+DevDY86YDj6klO/PHM4vvCVJQEHEmBRr/Twq9dWc4VlbmJk53p9rYR2aO1HtZabySaPbFNKbVu1OJ/B17UWr80xcf8uta6VmtdGwxObxRvNrx4vBkCHWz9TPqsCa01zx5pxGk10tM/zL669pR1vvVIOy0Pb8HQmsN6WwmvfX0lb+weTix//XQrPa5W/vr/dVJTA7rFS9ODm3nypWj5xnBE8/WHWuh8dCuRFh8wMsUjnjVxseMyB+o7uHtTYaIXRNBtxWk1JvpRvHKihYKhPJyW5ODlxmIv3qIeHtlXjyLaOyudW9floTXkD4XHLfGQfhRCCJEdcgQlJq3AZ8/YeG+qJ8VGgyJ31FX/iqCLQKxkoTw384nShhk21RxrJnXkM+lZkY7XbmZjsS+pvn9mj2ea0bQUsXyF3NYpjeVMpyjHnrFB5lRO3lfluyc8IVCKcYOcc21nRTR7xGRQ3LY+b1YaCIv5obVuB54DbgVQSv0FEAT+YNRq9UDxqO+LYvctSs8diU7TODZ0noHh4ZTlJxq7aezq53PXVaNUdBrHaD39QxweOMfH/ryeTZsU111pJXj3Hryj+lb86I2z2C0GfvOeaP+rG2LrWEKdABxr6GLQ28ZffaUjETDJcVrw2c2JzIpH90VLS+7aNJLEopSiPODi1TeHGRiKsG8fHPzuupQMEZPRwNayHAaHNcV+R8aLHjVFPu4pW8tD/6dMSjyEEGIBkDMZMWlmoyFt2URF0ElpYOpXYuN9KwxKceWong3xqymjKRXtVTGd/2c8VpMR+5hMhpvWhNlVnUuuO7WmNc5iMuCao2Z+sxWsGC/bRYjxGAyKommO5Y3bXj47fVg8NvOEjTZdVtOsTzCZipKAg/fVFvHRHaXj9vYRC5NSKqiU8sW+tgM3AUeUUp8BbgE+pLUeXfvwCPDx2FSQHUCH1jq1ScMCocdJEdBa8/LJZoJuK/1DEV4/1ZqyzjOHGxlo8HBnTQFr8708+MuepKyD5482MRTRfOY9fpSKlm9Ywp2cbo4GGQaGIjx1sJFNjrJEIK8k4MAa7uRMy0ivCaXgvTcnByfLcp289uYwWkf7VQT7wym9JMKDYV766gruf6obAh38739pT5shcu3KaK+rmgyNMyH63vdPv1nGww9JiYcQQiwEEqwQUzJ2/J7bZuKWtXnT6iER71uxpsCTyKoAKA04Er0WjAbFmgIPH9leyh0bCmatV8Voo9PHDUpRFXJRW+bnYztK+fD2kpRgBkSzIOZiWyDaKNAbu0rssZsJuCxsKPJOOQvEN04fESEmMpVJHGMV+uyUzGJgcWvZ+I1356sEZLSiHMesNiYVWZUPPKeU2g+8SbRnxaPA14Aw8KpSaq9S6n/H1n8MOAWcAP4T+O152OZJaenu57ovvcCPH+9MW9ZwtKGL9t5Bfvf6KswGA999tD1lvR893knbI7U0nbVTaSxk9zdWsXvPSOzmwbfr8drNbC2LjuEuz40GE041RwMRe8+301nv5Pl/r05kK9jMRsIeWyKg8cbpVnIc5pRy0/yhPF7+jxX86vVB9rytOfmjDSkZDx95l5fc97zFLxuPohTce5Mr7YWGXdW5aA25A1LiIYQQi8X8dCQTi9bYHg/rC73TTnkuCzh575ailGZ+KtZE84E99dy+Po+q0OxkGmTisZtoiGaiku+zJT2fkNvGPZsL+enuOgaGRg7OZrtfxVg1xdEZ8qOfe3N3Pz98/VzSGLfxzPU2iqVtJllMu1bkTrzSFJQGnFSHXRxv6E67fL6aa4qlQWu9H9iU5v60L6zYdJDPzvV2zYZf7L/IscNGfuP/Wln1ZPQkfLQXj0Ubf96wOsyPHu/i+39byOeuH1mvsauPc1zgt/8mh5qaMq4aMvPT9+zBX7wJcNE/NMxLx5rY4avAEDu7d1pN5LosifKNV040Ywl18r2f6KRshbJcByebogGN3Wdb2VSSk3IR4H23uHl47x7e6AxDoIO/+bdOamqS31+urArgLerhl0c68drNGbPCqsNu/nT7Dr74h37u2pi6L4QQQiw8klkhpiQ8KrNCKVg1yeZ36TitJor9jrTp28X+aFr1XAcqIPmqbPyK0Gghty1lDNps96sYa0upP+W557qs1E5whXk0yawQM5Hrsk5rQk112DUnY0SvXhHMOHVoPvtVCDFfegeG+IP/3suzL/dnzBR4aG895lAnwbvfYu261Ckej+y9iL8vRL7Xzo1XWfHf+Rar1o70rXjynUug4DdivSYqgg4s4U7OtsayJs6103XBxVNfqUzKeCjPdSaCiy8eb6I67GLXTnNStkJl0MW51l6auvq50N7Hjgp/yvbtqPDjyO/iWy+fQin40K2elIwHq8mYmDpUU+QdN+vxN+4O8MADSko8hBBikZBghZgSj82M0xrNPCj0jZQrzIXZGp84kdEnOpnmqq8t8FIdHumlEXDOz0jQ7eUB8r22SdXnS88KMVMbi6PBsfH6s7htJraPOsmYrV4VY3lsZj62syztdJCFUAYiRLY9c7iRHz/RxQfeZ0jbDLKlu5+3z7ezKs/NkK+NN88k96M419LLnrc1535Sw759UB4LRNS1XU6s8/DeCxT67FSHop9/8c/I083R5pmvnWrBEurkJ2OyJqpDLs629NA3OMz+ug6uXpE6DaU810lX3xBPH2pgoMHD5pLUYLzDYmJDkZee/mHKc50ZS63eXVMQm+KRJyUeQgixhEiwQkzZ6F4TS4HHFj0Rc1qNiV4Z6VSPynQIuOYnEGA0KD64rYTPXVc1bvmNyaASz0uI6aoOuagIOvnIjhKK/allIUaD4l0b8tlckoPFZKAwxz7u39BMGQ0qbfbTXAZNhVionjp4CXOok9rPHE6bKfDkwUtoDX93zzosRgOP7r+QtPwnu89jCXXyw/+OUFMDJf7o39a5WNZEx+VB3jrbxiZnKRA9u/c7LbisRs7E+lG8dLyZqjRZExVBF519QzxzuIGhiObKqtQgZjzw8dffqaf5oS0MN6VvfHndqhBaQ6WhMGMg4sbVYWrdZfz474tliocQQiwhEqwQU5bvtbMyz82aGZSALCTxzIqJMjlCo5p+znc/CINBURFMnwUC4HXMXQNQsXwYDIq7NhbisJjYWZl6srG1zE++147NbGRl2M3GYt+cb5M/zZVVyawQy00konnxWBNKwelIPUOR1BKPH71xHm9vLpuKc9hREeDR5y4nTva11vx0dx3lhkJuusqGUlAW61NztiWaNfHG6Vb6Gzw8+KWRMZ5KKUr8Tk40ddM/NMz++o6kaV5x8c+nv3n0MENNHmpLU0s8ymKBx153K3/2T21sq00fgL9+VYjBRg+/+HJ5xkCE3WLk/s+vlSkeQgixxEiwQkzZqnz3tCeALETxE52JghU+hxmLyUCOwzyvYxLjKoOpI17jpAREzLZCn52q0Mhrzu+0sK185ASktiyHqnFek7PF77QkGvlBdIywW7KIxDKzv76Dzr4hbluXR99QhP117UnLTzV189YeTf39m9i/X1EwHObw99bx6ptDABy80Mn5ExYOfW9tIgDgd1pwWIyJYMXLJ5px5nfz4AMkBQAqg07ONPew73wH3fUudlamNtQtz3WhNZx8LYe+x7dz6mhqQLHYb8eoFEWRPP6/jxdkLM1YW+DlxX/YxGOPGMcNREiJhxBCLD0SrBBT5rEtjJP12WIxGbBbjBROEKxQShFyW/HPU7+KsUoDDiym9H/CmRoRCjETt63LoyLopDTg4Pb1+UnvAz6HBUMW3heMBpXUPHZ1vjsr/68QC8mzRxpRCv7olpUAvHKiJWn5d189izXcyU9+Gu0lce0VVoJ378EW7gLgpeNNmEOd/OjHkUQAQClFUY6dU7EpHi8db6Km2Mu2WmNSAKA86KKhs49vPdxG04ObcXSlZlYU59jx9wUZfH0t//ZlS9ogg9Vk5I+3bqf+/k0cODD+33BV2MWmTUoCEUIIscxIsEIIIOC0EHRNHIQIeWzz1q9iLLPRkHSle7S57Bsgli+T0cBdGwu5Z3PRvL7GRpeC1BT55m07hJgvB+o6KI4UUJ7rojLo5IXYCFKAgaEIP3urjnW2Uq67wopSsDLPjSXcyYnGaCDil0caqQg6uf4qa3KviVwXZ1p6ae8d4FRTD1dXp2uM6SCi4clLR7jhd06wa0dqcNxkNPDmP23l+SetvP/9mbMd7rs7wEMPSumGEEKI9CRYIQSwKs8zqauzIbeV3AUSrAC4ZW0ed28qTDoQVApK0jRDFGKpCMSCFcV+B4FJBBmFWGp+d2NtYorHruog++ra6RuMjhzdfaaVlnMOdn9zVaLEo8TvwGI0cKyhi77BYfadb+eaFanlG2W5Ti60X+aVky1o4IpxGmMqBf/6uYqMgQiTUU1YliGlG0IIIcYjwQohIGks6XgWUhlIXFmuM6nhZ8htw2GRGn6xdAVc0avB6Zp+CrEcbNyoEhkJu6pzGRjS/PiJTrSGV062YA13cv/9I+NE45N0Dl3s5PVTrfRccHPNilDK45YFHAxFNP/01DF0s5f1hb6UdSqCLoxKsctfReWoKVlCCCHEbJNghRAw7hjQ0fxOC74FOCYxz2tLfF0akKwKsbT5nRbWF3on7DMjxFI1OiNhW7mfoSYP/+MzDvbti/aaWJXv5srtyeNEV+a5Od7YzbceaaXpoc3Y0/SaKIl9fhx6x0DPL7Zx+GDqYaLXbuaL113NS19dIWNChRBCzCkJVggxBUqpBdnMr8A7ctImwQqx1PmdFq6qTk1hF2I5ctvMvOtaO853vUGPs5mDFzrZVZX697Eq301TVz8vtZ7kzv95hu1pRoVWBV2goabIy1O/MGfsJXHPTS4eeEBJrwkhhBBzSoIVQiwB+b5oZoXdYiTfK1ebxdJmNCispsllQwmxHHzpvTXkll7mM9/dzVBEc0WaYMWKkButIdLk4d9/tzJtn4iQx8ZfX30lR3+wHoMh8/QN6TUhhBAiGxZNsEIp9ddKqf1Kqb1KqaeUUgXzvU1CLBQBpwWr2cAVlYElNVZWCCHExLwOM/9473ouDw5jUFBb5k9ZZ32Rl0izh57HtnPxlC3No0R99HafZE0IIYRYEBZNsAL4ktZ6g9Z6I/Ao8L/neXuEWDCUUmws8rG+0DvfmyKEEGIe3Loun3s3F7HFVY4zTZPlsMfGvn/ZztOPZS7vAMmaEEIIsXAsmmCF1rpz1LdOQM/XtgixEO2sDKDk6FIIIZatj62oYc+3VmdsfOl3WSQQIYQQYtFYVPMNlVJ/C3wc6ACuy7DOfcB9ACUlJdnbOCHmmQQqhBBieaupgZ/9TEo4hBBCLA0LKrNCKfWMUuqdNLe7ALTWn9daFwM/AD6X7jG01l/XWtdqrWuDwWA2N18IIYQQYt5ICYcQQoilZEFlVmitb5zkqj8AHgP+Yg43RwghhBBCCCGEEPNgQWVWjEcpVT3q27uAI/O1LUIIIYQQQgghhJg7CyqzYgL/oJRaCUSAs8BvzvP2CCGEEEIIIYQQYg4smswKrfW9Wut1sfGl79Za18/3NgkhhBBicVNK2ZRSbyil9imlDiqlvhC7/3NKqRNKKa2Uyh21vlJKfSW2bL9SavP8bb0QQgixdC2mzAohhBBCiNnWD1yvte5WSpmBXymlHgdeBh4Fnh+z/m1Adey2Hfhq7F8hhBBCzCIJVgghhBBi2dJaa6A79q05dtNa67ch7Vjou4Dvxn7uNaWUTymVr7W+mK1tFkIIIZaDRVMGIoQQQggxF5RSRqXUXqAReFpr/fo4qxcC50d9Xxe7TwghhBCzaElnVrz11lvNSqmz870dY+QCzfO9EcuE7OvskP2cPbKvs2O57OfS+d6AhUJrPQxsVEr5gAeVUuu01u/M5DGVUvcB98W+7VZKHZ3hZs625fI6XwhkX2eH7OfskP2cPctlX2c8HlnSwQqtdXC+t2EspdRurXXtfG/HciD7OjtkP2eP7OvskP28fGmt25VSzwG3ApmCFfVA8ajvi2L3jX2srwNfn/WNnCXyOs8e2dfZIfs5O2Q/Z4/saykDEUIIIcQyppQKxjIqUErZgZuAI+P8yCPAx2NTQXYAHdKvQgghhJh9EqwQQgghxHKWDzynlNoPvEm0Z8WjSqnfVUrVEc2c2K+U+kZs/ceAU8AJ4D+B356PjRZCCCGWuiVdBrJALdiU0CVI9nV2yH7OHtnX2SH7eRnRWu8HNqW5/yvAV9Lcr4HPZmHT5pq8zrNH9nV2yH7ODtnP2bPs97WKfuYKIYQQQgghhBBCLAxSBiKEEEIIIYQQQogFRYIVQgghhBBCCCGEWFAkWDELlFLfUko1KqXeGXVfjVLqVaXUAaXUz5VSnlHLNsSWHYwtt8Xu3xL7/oRS6itKKTUfz2ehmsp+Vkp9RCm1d9QtopTaGFsm+3kCU9zXZqXUd2L3H1ZK/emon7lVKXU0tq//ZD6ey0I2xf1sUUp9O3b/PqXUtaN+Rl7T41BKFSulnlNKHYq97/5e7H6/UupppdTx2L85sftVbD+eUErtV0ptHvVYn4itf1wp9Yn5ek5CpCPHI9khxyPZI8cj2SHHI9khxyPToLWW2wxvwNXAZuCdUfe9CVwT+/rXgL+OfW0C9gM1se8DgDH29RvADkABjwO3zfdzW0i3qeznMT+3Hjg56nvZz7O4r4EPAz+Ofe0AzgBlgBE4CVQAFmAfsGa+n9tCuk1xP38W+Hbs6xDwFmCIfS+v6fH3cz6wOfa1GzgGrAG+CPxJ7P4/Af4x9vXtsf2oYvv19dj9fqJTIPxATuzrnPl+fnKTW/wmxyMLbz+P+Tk5HpnDfS3HI1nbz3I8Mv39LMcjU7xJZsUs0Fq/CLSOuXsF8GLs66eBe2Nf3wzs11rvi/1si9Z6WCmVD3i01q/p6Kvwu8B75nzjF5Ep7ufRPgT8GED28+RMcV9rwKmUMgF2YADoBLYBJ7TWp7TWA0R/B3fN9bYvJlPcz2uAZ2M/1wi0A7Xymp6Y1vqi1npP7Osu4DBQSPT1+J3Yat9hZL/dBXxXR70G+GL7+RaiYy1btdZtRH8/t2bvmQgxPjkeyQ45HskeOR7JDjkeyQ45Hpk6CVbMnYOMvBG+DyiOfb0C0EqpJ5VSe5RSfxy7vxCoG/XzdbH7xPgy7efRPgD8KPa17Ofpy7Sv7wd6gIvAOeD/aK1bie7X86N+Xvb15GTaz/uAO5VSJqVUObAltkxe01OglCojOqbydSCstb4YW3QJCMe+zvTalde0WIzkeCQ75Hgke+R4JDvkeGQOyfHI5EiwYu78GvDbSqm3iKb5DMTuNwFXAR+J/Xu3UuqG+dnEJSHTfgZAKbUd6NVav5Puh8WUZNrX24BhoAAoB/6nUqpifjZxSci0n79F9MNoN/DPwCtE97uYJKWUC/gZ8D+01p2jl8WuAsksb7EUyfFIdsjxSPbI8Uh2yPHIHJHjkckzzfcGLFVa6yNEUyxRSq0A3hVbVAe8qLVuji17jGiN2PeBolEPUQTUZ22DF6lx9nPcBxm5igHRfSr7eRrG2dcfBp7QWg8CjUqpl4FaohHf0VeWZF9PQqb9rLUeAn4/vp5S6hWitY5tyGt6QkopM9EDgx9orR+I3d2glMrXWl+MpVU2xu6vJ/1rtx64dsz9z8/ldgsxU3I8kh1yPJI9cjySHXI8MjfkeGRqJLNijiilQrF/DcCfA1+LLXoSWK+UcsRq6q4BDsVSfzqVUjtinXM/Djw8D5u+qIyzn+P3vZ9YfShEa8WQ/Twt4+zrc8D1sWVOog2AjhBtzFStlCpXSlmIHqg9ku3tXmwy7efYe4Yz9vVNwJDWWt47JiG2X74JHNZa/9OoRY8A8Q7an2Bkvz0CfDzWhXsH0BHbz08CNyulcmKdum+O3SfEgiXHI9khxyPZI8cj2SHHI7NPjkemIdsdPZfijWik/CIwSPRKxaeB3yMaZTwG/AOgRq3/UaJ1YO8AXxx1f23svpPAv47+GblNaz9fC7yW5nFkP8/ivgZcwE9jr+lDwB+NepzbY+ufBD4/389rod2muJ/LgKNEmzE9A5SOehx5TY+/n68imlK5H9gbu91OdPrBL4HjsX3qj62vgH+L7c8DQO2ox/o14ETs9qn5fm5yk9vomxyPLNj9LMcjWdjXcjyStf0sxyPT389yPDLFW/xFJ4QQQgghhBBCCLEgSBmIEEIIIYQQQgghFhQJVgghhBBCCCGEEGJBkWCFEEIIIYQQQgghFhQJVgghhBBCCCGEEGJBkWCFEEIIIYQQQgghFhQJVgghhBBCCCGEEGJBkWCFEEIIIYQQQgghFhQJVggh5pRSaqtSar9SyqaUciqlDiql1s33dgkhhBBi+ZDjESEWH6W1nu9tEEIscUqpvwFsgB2o01r//TxvkhBCCCGWGTkeEWJxkWCFEGLOKaUswJtAH3CF1np4njdJCCGEEMuMHI8IsbhIGYgQIhsCgAtwE72iIYQQQgiRbXI8IsQiIpkVQog5p5R6BPgxUA7ka60/N8+bJIQQQohlRo5HhFhcTPO9AUKIpU0p9XFgUGv9Q6WUEXhFKXW91vrZ+d42IYQQQiwPcjwixOIjmRVCCCGEEEIIIYRYUKRnhRBCCCGEEEIIIRYUCVYIIYQQQgghhBBiQZFghRBCCCGEEEIIIRYUCVYIIYQQQgghhBBiQZFghRBCCCGEEEIIIRYUCVYIIYQQQgghhBBiQZFghRBCCCGEEEIIIRaU/x9xXa+s9s1yNQAAAABJRU5ErkJggg==",
"text/plain": [
"
"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# Setup figure environment (4x2 grid)\n",
"plt.figure(figsize=(18,18))\n",
"\n",
"# Show Bias kernel effect\n",
"plt.subplot(421)\n",
"mean, Cov = m.predict_noiseless(X, kern=m.sum.bias)\n",
"plot_gp(X, mean, Cov)\n",
"plt.title(\"Bias\")\n",
"\n",
"# Show Linear kernel effect\n",
"plt.subplot(423)\n",
"mean, Cov = m.predict_noiseless(X, kern=m.sum.linear)\n",
"plot_gp(X, mean, Cov)\n",
"plt.title(\"Linear\")\n",
"\n",
"# Show combination of Bias and Linear kernels\n",
"plt.subplot(424)\n",
"mean, Cov = m.predict_noiseless(X, kern=m.sum.linear + m.sum.bias)\n",
"plot_gp(X, mean, Cov)\n",
"plt.plot(X, Y, \".b\", ms=1.)\n",
"plt.title(\"Linear + Bias\")\n",
"\n",
"# Show modulated Periodic x RBF kernel\n",
"plt.subplot(425)\n",
"mean, Cov = m.predict_noiseless(X, kern=m.sum.mul)\n",
"plot_gp(X, mean, Cov)\n",
"plt.title(\"Periodic x RBF\")\n",
"\n",
"# Show combination of Periodic, Bias and Linear kernels\n",
"plt.subplot(426)\n",
"mean, Cov = m.predict_noiseless(X, kern=m.sum.mul + m.sum.linear + m.sum.bias)\n",
"plot_gp(X, mean, Cov)\n",
"plt.plot(X, Y, \".b\", ms=1.)\n",
"plt.title(\"(Periodic x RBF) + Linear + Bias\")\n",
"\n",
"# Show Exponential kernel effect\n",
"plt.subplot(427)\n",
"mean, Cov = m.predict_noiseless(X, kern=m.sum.Exponential)\n",
"plot_gp(X, mean, Cov)\n",
"plt.title(\"Exponential\")\n",
"\n",
"# Show combination of Periodic, Bias, Linear and Exponential kernel (this is our full GP fit !)\n",
"plt.subplot(428)\n",
"mean, Cov = m.predict_noiseless(X, kern=m.sum.Exponential + m.sum.mul + m.sum.linear + m.sum.bias)\n",
"plot_gp(X, mean, Cov)\n",
"plt.plot(X, Y, \".b\", ms=1.)\n",
"plt.title(\"Exponential + (Periodic x RBF) + Linear + Bias\");"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"It's clear that while our final fit is very good, some of the kernel effects are not as clear cut as we expected. For example, much of the upward trend is captured by the periodic combination, likely due to its ability to vary non-linearly. However, we can see that, for example, the `Exponential` kernel has a clear purpose in adjusting the GP fit to the data."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Exercise 7\n",
"\n",
"What improvements might be made to the GP model, for example in terms combinations of kernels and parameters, to get a better fit, especially for the prediction of our testing data?"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"> How clear the differing effects of the kernels are is dependent on the random seed, and the number of optimisation restarts of the hyperparameters. However something that can be observed is that trying to embed the linear trend in the covariance function with a nonlinear periodic function is largely redundant as the periodic*rbf kernel is clearly capturing most of the upward trend. We might play around with smoother non-linear kernels, for example adding a higher order Matern than exponential (3/2 or 5/2). We can also make use of kernels not shown in this lab, such as the periodic Matern kernels.\n",
"> \n",
"> Another option is to embed our linear trend in the mean function of our GP prior. While this is not especially common in machine learning, if we have reliable prior assumptions of the model, we can embed this explicitly. Putting a prior over the parameters of the linear mean function would keep the Bayesian approach to learning the model, but would allow us to fit periodicity to the data independent(ish) of the linear mapping."
]
},
{
"cell_type": "code",
"execution_count": 43,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Optimization restart 1/20, f = 368.3404856683532\n",
"Optimization restart 2/20, f = 182.02028825868243\n",
"Optimization restart 3/20, f = 516.6968685814478\n",
"Optimization restart 4/20, f = 155.81152650828125\n",
"Optimization restart 5/20, f = 517.2407093518927\n",
"Optimization restart 6/20, f = 522.5347721911259\n",
"Optimization restart 7/20, f = 140.36813930950282\n",
"Optimization restart 8/20, f = 513.3826834941501\n",
"Optimization restart 9/20, f = 621.4481205781586\n",
"Optimization restart 10/20, f = 457.7308715766743\n",
"Optimization restart 11/20, f = 379.66517539899303\n",
"Optimization restart 12/20, f = 285.06521307148944\n",
"Optimization restart 13/20, f = 259.318237333216\n",
"Optimization restart 14/20, f = 347.5474971496258\n",
"Optimization restart 15/20, f = 626.1788958891289\n",
"Optimization restart 16/20, f = 213.36643615093243\n",
"Optimization restart 17/20, f = 627.3033561325009\n",
"Optimization restart 18/20, f = 618.5739061331781\n",
"Optimization restart 19/20, f = 619.2787745350058\n",
"Optimization restart 20/20, f = 152.58071487462217\n"
]
},
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
"Model: GP regression \n",
"Objective: 140.36813930950282 \n",
"Number of Parameters: 10 \n",
"Number of Optimization Parameters: 10 \n",
"Updates: True \n",
"
"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"mean_func = GPy.mappings.Additive(GPy.mappings.Linear(1,1), GPy.mappings.Constant(1,1))\n",
"cov_func = GPy.kern.Exponential(1) + GPy.kern.StdPeriodic(1, period=1.)*GPy.kern.RBF(1) # equivalent to k\n",
"\n",
"m = GPy.models.GPRegression(X, Y, mean_function=mean_func, kernel=cov_func)\n",
"\n",
"m.mapping.linmap.set_prior(GPy.priors.Gamma.from_EV(E=3, V=2))\n",
"m.mapping.constmap.set_prior(GPy.priors.Gaussian(mu=-2000., sigma=1000.))\n",
"\n",
"m.Gaussian_noise.variance = 10.\n",
"\n",
"m.optimize_restarts(20, robust=True)\n",
"\n",
"# Get the moments of our model fit\n",
"mean, Cov = m.predict(Xnew)\n",
"# Set up plot environment\n",
"plt.figure(figsize=(14,8))\n",
"# Plot our optimised GP and training/test points\n",
"plot_gp(Xnew, mean, Cov)\n",
"plt.plot(X, Y, \".b\", Xtest, Ytest, \".r\", alpha=0.4);\n",
"# Annotate plot\n",
"plt.legend(labels=[\"GP fit\",\"training points\", \"test points\"])\n",
"# Preview model parameters\n",
"display(m)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 8. Multiple Inputs\n",
"\n",
"Typically, we will have data that is more than one-dimensional. Gaussian processes regression is scalable in dimension, and everything used above can be used with multiple inputs. The following problem is reasonably straight-forward, a simple extension of the regression problem we've used to 2-dimensional input.\n",
"\n",
"Consider the toy example:\n",
"$$\n",
" f = (x_1, x_2) \\mapsto \\sin(x_1)\\sin(x_2)\n",
"$$\n",
"$$\n",
" y = f(\\mathbf{X}) + \\epsilon, \\quad \\epsilon \\sim \\mathcal{N}(0, \\sigma^2)\n",
"$$\n",
"\n",
"Now, our input space is made up of two coordinates, $(x_1, x_2)$. Suppose we have some random noisy observations of the function, which are 1-dimensional in nature:"
]
},
{
"cell_type": "code",
"execution_count": 44,
"metadata": {},
"outputs": [
{
"data": {
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",
"text/plain": [
"
"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# Lambda function, f, the unknown function we are trying to predict\n",
"f = lambda xi,xj: np.sin(xi) * np.sin(xj)\n",
"\n",
"# Our test grid\n",
"[Xi, Xj] = np.meshgrid(np.linspace(-np.pi, np.pi, 50), np.linspace(-np.pi, np.pi, 50))\n",
"\n",
"# Number of samples [YOU CAN PLAY AROUND WITH THE NUMBER OF RANDOM SAMPLES TO SEE HOW THE FIT IS AFFECTED]\n",
"num_measurements = 50\n",
"\n",
"# Random sample locations (2-D)\n",
"X2 = np.random.uniform(-np.pi, np.pi, (num_measurements, 2))\n",
"\n",
"# Setup plot enviornment\n",
"plt.figure(figsize=(14, 6))\n",
"\n",
"plt.subplot(121)\n",
"# Show true function\n",
"plt.contour(Xi, Xj, f(Xi,Xj))\n",
"# Annotate plot\n",
"plt.xlabel(\"$x_1$\"), plt.ylabel(\"$x_2$\")\n",
"plt.title(\"$f(x_1,x_2)$\")\n",
"\n",
"plt.subplot(122)\n",
"# Show sample locations\n",
"plt.plot(X2[:,0],X2[:,1],'o')\n",
"# Annotate plot\n",
"plt.xlabel(\"$x_1$\"), plt.ylabel(\"$x_2$\")\n",
"plt.title(\"Sample locations\"); "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Our observations then are simply our sample locations propagated through $f$ with some Gaussian noise"
]
},
{
"cell_type": "code",
"execution_count": 45,
"metadata": {},
"outputs": [],
"source": [
"Y2 = np.array([f(x1,x2) for (x1,x2) in zip(X2[:,0], X2[:,1])])[:,None] + 0.05 * np.random.randn(X2.shape[0], 1)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We can fit a Gaussian process over the observations by selecting a 2-D kernel. For example, the `RBF` kernel has a 2-D (really N-D) form, so we can use this as our kernel choice. Here we need to set both the `input_dim` to `2`, and specify the dimensions of the data we want the kernel to act over. In this case, it is the first 2 (of 2) dimensions, which in Python are indexed by `0` and `1`."
]
},
{
"cell_type": "code",
"execution_count": 46,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
"Model: GP regression \n",
"Objective: 0.6378901234972236 \n",
"Number of Parameters: 3 \n",
"Number of Optimization Parameters: 2 \n",
"Updates: True \n",
"