{
"cells": [
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"source": [
"# Lab 1: Gaussian Process Regression\n",
"### Gaussian Process Summer School 2019\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",
"**[Binder]** If you are using Binder, all libraries required are installed on the Binder image.\n",
"\n",
"**[Local]** If you are running this notebook on a local machine, make sure that `GPy` is already installed on your machine. You should be using Python 3.5 or 3.6. A set of instructions for setting up your environment are [available from the GPSS site](http://gpss.cc/gpss19/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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\n",
"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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\n",
"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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\n",
"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, $k_1$ and $k_2$, and corresponding covariance matrices over some (joint) sample space: $\\mathbf{A} = k_2(\\mathbf{x},\\mathbf{x}^\\text{T})$ and $\\mathbf{B} = k_2(\\mathbf{x},\\mathbf{x}^\\text{T})$, then the sum of two corresponding normal distributions with zero mean and covariance defined by the respective matrices, $\\mathcal{N}(0, \\mathbf{A}) + \\mathcal{N}(0, \\mathbf{B}) = \\mathcal{N}(0, \\mathbf{A}+\\mathbf{B})$. From this we can infer that since the RHS of the equality is a valid distribution, $\\mathbf{A}+\\mathbf{B}$ must be postive semi-definite, and so $(x,x') \\mapsto k_1(x,x') + k_2(x,x')$ results in positive semi-definite matrices regardless of $x$ and $x'$.\n",
" >\n",
" > The equality holds only when $k_1$ and $k_2$ (and therefore $\\mathbf{A}$ and $\\mathbf{B}$) 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
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"
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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\n",
"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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7ncgrLuOr7aeYlXqc9Kw8An08GNyuDqMS6lErWKYCCCsoyoGPekF+Joz6DsJidCeC0gKY3hnKS+CxJJtNpBHC7pSXwvtdVaPy0WtcsvAAUnxwHqYJM/vCmV3w+EYIrKk7kRC2d+EwTE+AOu1hxCL7mSNuscCCkbDvaxg8E5oO0J1IOKjyCgvf7D7D1B8Ok56VR0SwLyPiohjSrnblNo+8FuWlVHzSm4csJ0n3D+TL/ouIqBKhOxXvbnuXD3d/yDtZ5+hx52RoPkh3pJ8xTZPNx3L4LDWD5bvPYBhwd+sIxnRtQP0w6R0jblB5CcwaqEZP3/8V1E3QnegnJ7fCR7dDs4Ew8APdaYSoHGtehzWvqEls0b10p9FGig/O5MJhmBZ/uf/DLNnuLZxbRZkacXnhMIxN0Xqe+6rKimBmP8jcBSOXQe22uhMJB1JSXsGXW08xfe1hjmcX0qh6FcZ2b0DfFrXwcLeTItsvLX+BD9O+4N2QYF5JeIW+DfrqTgRAWUUZw5cN48yFAyw8c56wUaugemPdsa7qZE4hH6w7wpzNJyitsNC7eU3GdmtA01pBuqMJR7NoDOycDfd8AC2G6E7zaz9Opxr4kd0VBIWwurNparGsSX8Y9JHuNFpJ8cHZJL0L3/1VVluF8/vhFVj7Ogz+BJrerTvN1RVcUFvsvKrAmPXg7qk7kbBzBSXlzN50nA/WHyHrUgktawcxtntDbo8Nt+8RjbsXsG/JGIZH1KJH3Z680eUN+zkKAhy5eITEJUNoW1jItFI/jEd+AG+9TTl/z7m8Ej5OOspnKRnkl5TTPSaMx7s3pF3dShofLBzbj40du74A3V/UnebqKsphxp1wLl0dvwiuozuRELZhqfhpsWzcZvAP1Z1IKyk+OJuKcviwB1w6BY9vAj+5UBFO6MQm9ULeIhHunq47ze9L+wbmDIOeL0P8ON1phJ26WFjGjOSjfJJ8jNzCMuIbVGNst4Z0aljNrj7EX9XZNIo+vJXEWuEU+IewsN9Cgrztb6V+TtocXt74Mi9eyGFo7R6qcGnnP9uLRWV8lnKMj5OOkV1QSvt6ITzevSFdGoXa/98LoUdZEUzpAB4+MGaDXTRZ/U3ZR1T/h1qt4f7F9nN0UghrSp0OK16w311Ilez3ig/yCuCI3D2g/2TVZGjlS7rTCGF9JXmwcDQE1YY7/6M7zR+L6a1Gb655FS6d0Z1G2JnisgqmrTlM5/+s5p3vD9IuKoSFY+P54pE4EhzhA2ZJHswdwVtVgzhqlPNywst2WXgASIxJJCEigTdDQzlycKlq1Gzngnw9GXdrIza80J2/9mnC8QuFPPDxJhLfS2VrRo7ueMIebXgHcjPUtCV7LjwAhNRXTWCPrYfUKbrTCGF9ORmw6h/Q8HZoPlh3GrsnxQdHVaO5mqG843M4tEp3GiGsa8Wf1YXV3e+BT6DuNH/MMNTFVUWZFATF/5RXWJiz6Tjd3ljD6yvSaFc3hGVPdObDB9rRJrKq7njXbuX/sa7oFHP8PLivyX3E1YzTneg3GYbBvzr9Cz+vQP5Upz5l3/2fOofrAPy8PHgooR7rnu/OvwY048j5AgZOS2b0p1s4dDZPdzxhL7KPwIa3VSPH+l11p7k2rYZD4z6w6p+QuVt3GiGsxzTVNDbDDfq8bfc77eyBFB8cWZfnoVoj9Ze+JF93GiGsY/8S2P4ZdJoAUfG601y7kPqQ8BTsWQBH1+lOIzQyTZMVezLp9c46/rRwNzWDfZg7Oo6PR95Ck1oOUEy7UtZesnd8xl9rRtAwuCFPtnlSd6I/FOobyt/i/8Z+s5gpISEOVxD08nDjvrgo1j7XjWdujyb58AV6vr2OFxbs4szFIt3xhE6mCctfUL2Fer6sO821Mww1Jt63Knz5CJQV604khHXsnAOHV8Ntf5eeJtdIig+OzNMH+k2C3OOqm7AQji4vExY/ATVbQrc/605z/RImQHAUfPOs2gUhXM7GIxe4Z1oyY2ZtxQSmj2jLwsfi6VC/mu5o18804dsXeSc0lEtYeK3za3i729noz9/QI7IHAxsN5OMAHw5mrIFD3+uOdN38vT0Y36MRa5/rxsj4eizcfpJub6zh1eX7uVgory8uKX05HFyp3h8dbdy6fzUYMBXO7Vdb1IVwdPlnYcWfoE4ctBulO43DkOKDo4vqCLc8rM61ntisO40QN8404etxqpHWPR/a/znWq/H0VT0qzqc7xFlzYT3pmXmM+mQzie+ncjq3iNfuac7KCV24o1kN++/p8FsOfEvG8Q0s9vMmMSaRmJAY3Ymuy4Q2E/Dz8Gdq9Zrw7V9Us2YHVK2KN3/t24TVz3Sjd/OavL/uCJ3/s5r31h6muKxCdzxRWUoL1a6HsFjo8KjuNDem4W3Q/lFInQqHf9CdRoibs/x5KCtUC8HSSPWayU/KGfT4GwRGwOLxUF6qO40QN2b/Ejj0Hdz+DwiL1p3mxsXcAdF3wprX4OIp3WmEjV0sKuPvi/fSe+J6Nh3L5oU7GrPm2e7c2z4SD3cHfou93L9kWnhtvNy9GdXc8VZ1gn2Cub/p/XzvBfsvHoZtn+iOdFPqhPjxdmIrvhnfmTZRVXl1eRo9317Hqv1ZuqOJyrDhbbh4HO76r2OPdL79H+rI8DLZISgcWNo3sHcRdH3esa9ZNXDgKyPxPz6BqsnJuf2w4S3daYS4fhXlahtmWGPn2Lp252tgVjjcWXNx7SwWk/lbTtDjzTXMTDnG0PZ1WPdcdx7r1gBfL3fd8W7e5o84fOkoy7xMhsYOI9TXMWeW39fkPgK9AplSqx788AoU5eqOdNOa1ArkkwfbM2tUBzzdDUbN3MKoTzaTcaFAdzRhKxcOQ9I70HwI1E3QnebmePpCz3/DhUOqv5MQjqYoF755BsKbqf5k4rpI8cFZRPdU413W/RfO7tedRojrs/0zdSHS469qlKyjq1oXEp6GvQvhyBrdaYSV7Tl1kUHTk3luwS4iQ/xYMi6Bfw9oTlV/BzwqdDWF2bDmVabUboSfpx8PNn1Qd6IbFuAVwMimI1lrFLOzIh/W/1d3JKtJaBTK8ie78GLvxqQeucDtb6/jrZXpFJXKUQyn8r8mk97Q81+601hHdC+I7Kh2CJZK0Uw4mO/+CvlZ6riFI+9C0kSKD87kjtfULoivx4FFLj6EgygtVBcgdTpATG/daayn05OqCLHsOTkO5SRyC0t56avd9J28gYwLhbwxqAULxsTTLCJIdzTrWvsf0swivqOAEbEjCPYJ1p3opgyPHU5V76pMiYyB1OlqVKGT8PJwY3SXBqx+tht3NqvBxNWHuO2ttazYk4lpmrrjCWtI+0YdSez+IgTU0J3GOgwDbvuH+gCXOlV3GiGu3dH1sG0mdHwcItroTuOQpPjgTPxDodercGoL7PlSdxohrs3GaZCfqS5EHLUx39V4+lxuPnlALq4cnMViMnvTcbr/dw1fbDzOAx3rsvrZbgxuVwc3Nyf6Owtw/iBs/oApUU0J8Arg/qb360500/w8/RjVfBQp5bls8fVTq1ZOJjzQh3fvbc2c0XFU8fZgzKytPDBjM0fOyRhuh1ZaqLrpV28K7UfrTmNdkR2gcR/Y8C4UXNCdRog/ZrHAty9CcCR0e1F3GoclxQdn03wwhDeHNa9KIx9h/wqzYcM7asdDVEfdaawvuhfE3AVr/wMXT+pOI27A/jOXuHtqEn9euJtG1QP45onO/L1fU4J8nXSr5cr/Y7dvFdaUnWdk05EEegXqTmQVQ2KGEOobyuQ60Zj7l8CxDboj2URc/WosfSKBv/ZpwvaMHHq9s443V6ZTUi67IR3S+jfh4onLTSad4EjiL/X4K5QVqP9OIexd2hLI3AXd/wJefrrTOCwpPjgbNze49S9qW+nO2brTCPH71r8JpfnqAsRZ3fGqaj757V90JxHXoaS8grdWptN30gZO5RbxTmIr5j4aR2xN5/gwflWHf4ADy5kSFUuwdzDDY4frTmQ1vh6+PNL8EbaWZJFarTas+LPTHk/0dHfjoYR6rHq2K31a1GLS6kPcNXED247n6I4mrsf5Q5A8EVrcC1HxutPYRlgMtBoOmz+AnAzdaYT4bZYK1bQ4NFot9IobJsUHZxR9B0S0Vaut5SW60whxdbnHYdP70HIYVI/VncZ2qkZB52dh31dweLXuNOIa7DiRS99JG5i4+hB9W9biu6e6MqB1BIYzHQv6JYsqkG2rFklS0SlGNRuFv6e/7lRWNSh6EDX8azC5Rh3MzF1OX6CvHuDD24mtmPHgLRSWlDNwWjL/XLKPwtJy3dHEHzFNWP4cePjA7f/Unca2uv0ZDDf1wU4Ie7XnSziXpnqvuDnBRCuNpPjgjAwDbn1JbdXb9qnuNEJc3Q+vAgZ0/7PuJLYXPx5C6qvdDxaL7jTiNxSVVvDyN/u4Z2oSecXlzBh5C28ntnKeKRa/Z9uncHYvk2vVJdQ3lMTGiboTWZ2XuxePtniUXYWnWF+7Gaz6J5Q4f0+E7jHV+fapLgzvEMnHSUe54531JB8+rzuW+D2HVqlidfcXISBcdxrbCoqADmNg11zI3KM7jRC/VlGmjrOHN4fY/rrTODwpPjir+t0hqhOse0M1LBLCnmTtVauOHUZDUG3daWzP00c1Jzq7T50ZFHYn9cgF7nx3HR+sP8q97SNZ+VQXujeurjtW5Si+BD+8zMbI1mzOP8bDzR/G18NXdyqb6N+wP7Wr1GZy1WDM/CxIekd3pEoR4OPJvwc0Z87oONwMGPbBRv68cDeXiqU3lN0xTVj7GgTVgXajdKepHAkT1LS2Vf/QnUSIX9s5Wx1nv/Uv6ni7uCnyE3RWhqEaouRnwZaPdKcR4ue+/wd4B0LC07qTVJ5m90C1RrDmddn9YEfyisv4y6Ld3Pt+KibwxSMdeOXu5gT4OGlDyatZ/yZmwTkmhVQl3C+cQdGDdCeyGU83T8a0HMP+/OOsiukOyZMg94TuWJUmrn41lj/ZhdFd6jN383F6vrWOVfuzdMcSVzq8Ck5uhs5Pg4cL7LoC8K0KnZ+BgyvVKEMh7EV5iTrGHtFWHWsXN02KD86sbidocCtseBtK8nSnEUI5lgQHv4XOT4FfiO40lcfNHbo+D2f3QtpS3WkEkHToPL3eXsfsTcd5OKEeK57sQnyDUN2xKlfOMUidyoYmPdl58RCjW4zG291bdyqbuqv+XdQNrMsU73Ispulyq62+Xu682DuWhWM7EejrwaiZW3hq7g4uFskuCO1MUxWoA2tDqxG601Su9qMhMAK+/5v6OQhhD7Z9qo6x3/qSc42D10iKD86u+0tQeAE2TtedRAh1QfH93yCgljrj6WqaDYRqDVUVXXY/aFNcVsG/l+5j+Icb8fVyZ8Fj8bzUpwm+Xi7YRGrVPzENdyZ7VxBRJYK7G96tO5HNebh5MLbVWA7lZfBty36wez6c2qo7VqVrVSeYpeM780SPRizeeZre765n45ELumO5tiM/wMlNrrXr4UeevqrHxamtsH+x7jRCqGPr695Qx9jrd9edxmlI8cHZ1W4LMb0haRIUyZgtoVnaUrWdtNuf1IWGq3Fzhy7PQdZuSF+mO41LSs/MY8CUJD7ccJT74qJYOr4zbSKr6o6lx7kDsGchq1v2ZV/uQca0HIOnu2scN+lVtxcNgxsytfw05T7BsO6/uiNp4eXhxtO3RzN/TEc83A3u/SCV11ekUVouxdFK979dDxHQ2sV2Pfyo5VAIa6yawVbIVBah2ZaP1PH17n+RXQ9WJMUHV9D9RSi5CClTdCcRrqyiXF1QhEarud6uqtkgNfli7WuytbQSWSwmH284St/JGzifX8KMkbfwrwHNXHO3w482vIXFw4cpFWepG1iXPvX76E5UadwMN8a1GsexvBN806yXKga6cKf9NpFVWfZEZ4a0rcO0NYe5Z1oSh846/yQQu3JkDZxIhYSnwMO5jz79Jjd36PE3uHAItn+mO41wZSV56th6g1vVMXZhNVJ8cAU1mkOTAZA6DQpkS6XQZMfncP6AurBw99CdRh93D+jyPGTK7ofKknWpmAdmbOKfS/fRuWEoKya40CSL35J9FHbNY2WzXhy8eIQxLcfg4eZaz8tbI28lNiSWacXHKPMKgPVv6o6klb+3B68PalGmYAMAACAASURBVMH0EW05lVNEn0nr+Sw1A1OKpLZnmrD2dXUksc39utPoFXMn1ImDNa9BaYHuNMJVbZyujq13f0l3EqcjxQdX0f1FKCt0mbFiws6UFqoZybXbQ+O7dKfRr/lgtfthjex+sLUVe87Q6511bD6Wzct3N+PDB9oRWsVFVxWvlPQupps775nZNAhqwB11Xa+Lt2EYjGs9jlMFZ/im6W2wdxGcP6g7lnZ3NKvBiglduKVuCP/31R5GzdzCubwS3bGc29F1cDzlcq8HF399Mgy4/R+Qn6kWzYSobEW5ahJS9J3q+LqwKik+uIqwGGg+BDZ9AHmZutMIV7N1BuSdgdv+LufmQO1+6PwsZO6C9OW60zil/JJynl+wkzGztlGnqh/fPNGZ4R2iMOTvH1w6DTs+Z2PTOzl06Rgjm43E3c01j590juhMw+CGfG5exPTwgfVv6Y5kF8IDfZj5YHv+1rcJGw6d54531vH9PhnJaROmqQrRATWh9X2609iHyDj1wS9pIhRf0p1GuJqUKVB8US3cCquT4oMr6fYCVJTKxZWoXOUlkDwZohLk3NyVWiRC1brS+8EG9p+5RL9JG5i/9SSPd2/Al4/F0yCsiu5Y9iN5ElgqmOXnQYhPCHfWu1N3Im0Mw2BE7AjSLh5iS/O+sGsu5GTojmUX3NwMHuxUj6XjEwgL8ObhT7fwr6X7pBmltR1bD8eTVa8HTx/daexH1+dVv7ItH+tOIlxJwQVInaqOq9dsoTuNU5LigysJqa86KG+dAbkndKcRrmLXXMg7DZ2f0p3Evrh7qMkXZ3bCgW91p3EKpmkyd/NxBkxJIq+knC8ejuO5Xo3x8pC3uv/JPwdbZpDRtB9rszYzJGYI3u6uvc37rvp3EewdzOe+bqrhnRxP/Jno8AC+HteJBzpG8dGGoyS+n8Kp3CLdsZzHmtehSg1o84DuJPYlog3U76Y+CJYV604jXEXSO+qYuux6sBm5InM1XZ5Tv657Q28O4RosFZD0LtRoAQ166E5jf1okQnCU7H6wgsLScp6Zt5MXvtxN2yjVub9jg2q6Y9mf1ClQXswXYeF4uHmQGJOoO5F2Ph4+DI4ezOozKZxofjdsnwWXzuiOZVe8Pdz5R/9mTB7WmoNZ+dw1cT2r0+QYxk07uh4yNsiuh9+S8LQadbjzC91JhCvIy1TH05sPUcfVhU1I8cHVBNeBtg+qi6sLh3WnEc5u/xI1Mqvz09Lr4WrcPaHLs3B6OxxcqTuNwzqYlUf/yUks2nGKJ3s04rNRHQgLcO3V/KsqyoFNH3KpSR8WnfyB3vV6E+obqjuVXUiMScTdcGd2teqqaJo8SXcku9SnRS2WjE+gZpAvD32yhdeWp1FeIccwbtja16FKOLSVXQ9XVa8LRLRVixgV5brTCGe3/i11PL3bC7qTODUpPriizk+Dm4d6MRfCVkwTNrwF1RpCbD/daexXy6EQHCmTL27Qwm0n6Tc5ieyCUj59qD1P3R6Nu5sUuq5q4/tQmseiyGYUlRcxPHa47kR2I9w/nNvr3s6iE6soaHaPOp5YcF53LLtUL9SfRWPjGdo+kulrDzPsg41kXpRt8dftWJLq99BpAnj66k5jnwxD7X7IOQb7vtKdRjiz/LOw9RNoNUwdUxc2I8UHVxRQQz25ds6GPNk2KWzk8GrVz6DTk+octbg6d081+eL0Njj0ve40DqO4rIIXFuzi6Xk7aV47iGVPdqZzozDdsexXSR6kTqWi0R3MPrWGNtXb0KRaE92p7Mp9sfeRX5bPV5FNoaxInTUXV+Xj6c6r9zTnncRW7Dl9kbsmrmfdgXO6YzmWta+pXQ/tHtSdxL7F9IbQGNjwthTohe1sfE/teug0QXcSpyfFB1cVPx4s5bBRZigLG9nwthod1kLOlP+hlkMhSHY/XKsj5/IZMCWJuVtOMLZbA754uAPhgXJe+ndt+RiKc1kTeyun8k9xXxMZ6fdLzcOa0zKsJZ+f+A5LbD919rcoV3csuzagdQSLxyVQrYoXD8zYxFsr06mwyGvYH8pIhqPrVHFedj38Pjc3SJgAWXvkeKKwjZI82PwBxPaB0Ia60zg9KT64qmoN1Fb4zR/LDGVhfSc2q+2kHceBh5y9/0MeXuo41KktcGiV7jR27ft9WfSfnETWpWJmPHgLz9/RGA93eSv7XWVFatxt/W58djaFWv616F6nu+5UdmlE7AhO5J1gXeNboeSSKkCI39WwehW+fjyBQW1qM3H1IR78ZDO5haW6Y9m3Na+Bf3XVg0v8seaDIaiOWtQQwtq2zoTii9BJprJVBrlic2WdnlQzlLfO0J1EOJsNb4NvVWg7UncSx9FquLq4kskXV2WxmLz7/UEe/nQLUaF+LH2iM91jquuO5Ri2fQYFZ9nf+l62Zm1lWOww3OUo1FX1iOpBuF84s7I2QPQdajpISb7uWHbP18udNwa35LV7mpNy+Dz9JieRlikLG1d1PBWOroVOT4CXn+40jsHdU+3YPZ4CGSm60whnUl4KKVOgbmeo3VZ3GpcgxQdXFtFGdRJOnQblJbrTCGdxdj+kfwPtHwXvKrrTOA4PL1UQPLlZbckV/5NXXMaYWVt5+/sD3NM6ggVj4okIlq3K16S8VM0tj+zIrIt78PXw5e5Gd+tOZbc83TwZ2ngoG89s5EDre9WEECnQX7N720cyZ3RHissquGdqMst2y8jSX9nwDviGQLuHdCdxLK3vA79qqpG1ENayZwHknVbXX6JSSPHB1XWaAHlnYNc83UmEs9jwDnj6Q4dHdSdxPK1HqIsrmUTzP0fO5XP31GRWpZ3lr32a8OaQlvh4yqr9Nds5Gy6d4nyH0Sw/upwBDQcQ6BWoO5VdGxQ9CB93Hz7P2QH1uqqxm2UyzeFatY2qytLxCTSuEcDYz7fxnxVp0gfiR2fT4MByaD8avPx1p3EsXn7Q4THV9yFzt+40whlYLOp6K7wZNLxNdxqXIcUHV9fgVqjRXD35LDKrW9yknAzYPV8dt/AL0Z3G8Xj6qh0jB79VF6kubnWa6u+QXVDKZ6Pa81BCPQxDxmhes4pydQSqZivmlZ6hzFLGsMbDdKeye0HeQfRt0Jelh5eSHTcG8rNg+2e6YzmU6oE+zB4dx9D2kUxdc5hRMzdzsbBMdyz9UiaBhy+0f0R3EsfU/mHwqiK9H4R1HPwWzqWpXQ9ybVFppPjg6gxD7X64cFBV44W4GSmTwXCDjo/rTuK4bnlYXZwmT9KdRBuLxWTSqoOMmrmFyGp+LB7XifgGobpjOZ69CyHnKKUJTzH3wDy61O5C3aC6ulM5hOGxwym1lLKg+ATUiVMF+gr58Hw9vD3UOM5X7m5O0qHz9JuygQNZebpj6ZOXqXaZth4O/vJ6dkN8q6rjKnsXQfYR3WmEo0t6V/XaaipHESuTFB8ENBkAwVFqu7w0uhM3Kv8cbPsUWiZCUITuNI7Lv5o6frFrLlxyvfPS+SXljP18G29+d4ABrSL48rF4aleVpmzXzWKB9W9CWCzLvSC7OJsRsSN0p3IYDYIb0KlWJ+akz6UsYQJcPKGek+K6DesQyZzRcRSWVjBgShLLXbUPxMbpasS5FOdvTsfHwc0DkibqTiIc2fGNqoFpx3GqoamoNFJ8EODuoboIn9yknohC3IiNlxuXdpqgO4nj6/g4mBXqZ+pCTmQXcs/UJL7bn8VLd8XylvR3uHEHV8K5NMyEp5iV9jkNgxsSVzNOdyqHMjx2OOeKzrHSowJqtFAfduR44g1pGxXC0vEJxNQI4LHPt/HWynQsrtQHoiRPjTaP7Qsh9XWncWwBNaDVMNjxudpNIsSNSLrc+LXNfbqTuBwpPgil1fDLXYTf0Z1EOKLiS7DpQ2jSD0Ib6U7j+ELqQZP+sGWG+tm6gC3Hsuk/JYmsSyV8+lB7Hu5cX/o73IzkSRBYmy1hUaRlpzE8drj8PK9Tp4hO1A2sy2f7Z2F2HA/n01VRR9yQ8EAf5oyOY3Db2kxcfYjxc7ZTXFahO1bl2DpTjTaXjvrW0elJtYskZYruJMIRnU2D9GXS+FUTKT4Ixcvvp0Z3Wft0pxGOZstH6sIq4WndSZxH/BNQcgm2zdSdxOYWbT/JsA82EuTryaKx8XRqKOehb8qprZCxAeIe4/P0OQR7B9Onfh/dqRyOm+HGiNgR7L2wl53h9SGwtkv3YrEGbw93/jOoBX++szHLdp8h8f1UzuY5+SSRijJInQpRCRDRVnca5xBSX53T3/KxGocrxPVI/rHx62jdSVySFB/ET9o/Ap5+kCzn6MR1KCuGlKlqckqtVrrTOI+INlC3s/rZlpfqTmMTFovJmyvTeWruTtpEBbNobDz1w6rojuX4kieBdxAnYm5j9fHVDI4ejI+Hj+5UDqlvg74EeAUwK30OdByrijqntuqO5dAMw+DRrg2YPqItBzLzGDA5if1nnHiH154v4dIp6PSE7iTOJeEpKM2HzR/qTiIcycVTqn9Pm/tUjy1R6aT4IH7iFwJtHlCjEnNP6E4jHMWOz6HgrLoQENbV6UnIO60uXp1McVkF4+dsZ9LqQwxpV5tPH+pAsJ+X7liOL/so7Psa2o1k9pHFuBvuJMYk6k7lsPw8/RjUaBDfZ3zPmZie4B0kux+spFfTGswf05EK02TQtGRWp2XpjmR9pql6hYTFQsPbdadxLjWaq59p6jQoLdSdRjiK1KlgWlSjSaGFFB/Ez3Ucq94sU12r0Z24QZYKNV4zoq1apRfW1fA2qN5Efdhxokk0Z/OKSXw/lWW7z/Bi78a8PrAFXh7ydmQVqdPAcKew7QMsOriI26NuJ9w/XHcqhza08VAA5hxdCu0eVMWdnGN6QzmJZhFBfP14AvXC/Hl45hY+2nAU04le6zi8Cs7uVU293eQ1zuoSnoLCC7DzC91JhCMoyoWtn6gjO1WjdKdxWfJKKH4uOBKaD1JPzsJs3WmEvUtfpmZtxz8B0szO+gxDXbSe3QuHVulOYxX7Tl9iwOQkDmTmMX1EW0Z3aSCNEK2lMBu2fwbNB7Ps/Hbyy/IZGjtUdyqHV7NKTbrW7sqig4sobfcQGO7qOJSwihpBPsx7tCM9m9TgX0v38Zev9lBW4SRTRZImQkBNaD5YdxLnFBWvFj9SpqjFECF+z5aP1FEdafyqlRQfxK91ehLKCmDzR7qTCHuXPAmCo9T4MGEbzQZBQC01FsrBrdqfxeDpyVhMmD+mI72a1tAdybls+QjKCjE7jmNe+jwaVW1EqzDpw2INiTGJ5JTk8H3OXmgxRBV5pEBvNX5eHkwd3obHujXgi43HeXDGZi4WlemOdXNO74Cja6HDGPCQI2U28WOBPvuIWgwR4reUFUPqdGjQA2q20J3GpUnxQfxaeFNo1BM2ToeyIt1phL06vhFObFTn5tzcdadxXh5eEPcYHFsPp7frTnPDPk05xsOfbqF+WBW+HteJZhFBuiM5l7Ji2Pg+NLyN3e4V7M/eT2J0ouwqsZK4WnHUCajD3PS56jWvrFAVe4TVuLkZvHBHY94Y1IKNRy8wcFoyJ3Mc+Cx/8kTwClBHdYTtNO6rFkGkF4v4PTtnX+5PNkF3EpcnxQdxdZ2ehMLzqpmgEFeTPBF8gqH1cN1JnF/bkeAdqLbwOhiLxeTV5fv569d76dG4OnMfjSM8UCYvWN2uuerCKn48c9Pn4ufhR58GMl7TWtwMN4ZED2Hb2W0c9PJU/Vg2vq+KPsKqBrerw6cPdSDrUjF3T01m7+mLuiNdv5wM2PsVtBsJPlJotSl3D+j4uFoMOb5RdxphjywVqjhVq7X0J7MDUnwQVxfVCSLaQfJkOUcnfu3CYUj7Bm55GLz8dadxfj6BqgCx7yuHanRXUl7BhLk7eG/tEUbERTJ9RFv8vDx0x3I+Fotq/FqjBRdrteLbY99yV/278PeU56Y19W/YHy83L+alz1N9bgrOqqKPsLqODarx5WPxeLoZDJmewroD53RHuj6pU9WRgA6P6U7iGloNV4shMipeXE3aN5B9WC2sym5A7aT4IK7ux3N0OUfVk1aIK6VMAXdP6PCo7iSuI+6xy43upuhOck0uFpUx8uPNLN55mufviOFf/Zvh4S5vOTZx8Fs4fwDin+Drw4spqSiR8Zo2UNWnKj3r9mTJkSUU1m4HNVqooo/FSZoj2pno8AAWju1EnRA/HvpkMwu2ntQd6doUZsO2T6H5EAiK0J3GNXhXUYshad+oxREhrpQ8CarWhdh+upMIpPggfk9sX/VkTZ7oVGP+xE0quHwcp+W9UKW67jSuI7DW5UZ3s+y+0d3p3CKGTE9hS0Y2bye2ZGy3htJ7wJaSJ0FQHcwm/Zl/YD4tw1oSExKjO5VTSoxJpKCsgGXHlqtVtPMHVPFH2ESNIB/mj+lIh/ohPDt/J5NXH7T/UZybVeNX4sfrTuJa2o9WiyIOUqAXleR4KpzcJP3J7IgUH8Rvc3NXT9aTm9VZOiFAXViVF6u/G6JyxY9XF7WbP9Sd5DelZV7inqnJnM4t4pMH23N369q6Izm3k1shIwniHmPTue0cu3RMdj3YUMuwlkRXjWZe+jzM2H4QVEca3dlYgI8nM0a25+7WEfx35QFeXLSHcnsdxVlWBJveg4a3Q3gT3WlcS0A4tEhUiyMF53WnEfYieRL4VoVWw3QnEZdJ8UH8vlbDwTfEIRvdCRsoK4JN70P0HRAmK6uVrnosNOoFG9+zy0k0yYfOM3haCgDzxnSkU8NQzYlcQPJE8A6CNvczN30uQd5B9KzbU3cqp2UYBkOih7A/ez97ctIhbqwq/pzcqjuaU/PycOOtIS15vHsDZm86zujPtlJYWq471q/tnA0F59SuGFH5Oo5TiyMyKl4AnD90uT/ZI9KfzI5I8UH8Pi8/dY4ufRmcP6g7jdBt52w1BUW2k+rT6YnLk2i+0J3kZ77afooHZmyiZrAPC8fGE1szUHck55d9FPYvhnYPcq6imB+O/8CABgPwdvfWncyp9WnQBz8PPzV2s819qvgjje5szjAMnuvVmH8PaMaa9LMMfT+V8/klumP9xFKhmnTXag11E3SncU3VG6sC/ab37bJALypZymRw94L2j+hOIq4gxQfxx9o/op68KZN1JxE6WSw/XVhFddKdxnVFdYJabS43urOPSTTvrzvMhLk7aBtVlflj4qkV7Ks7kmtInaqakHYYw8KDCyk3yxkcM1h3Kqfn7+lPn/p9WHFsBRexwC0PqSJQ9lHd0VzCiLgo3ruvHelZedwzNZnjFwp1R1LSl6mO+vFPSEd9neLHqwL9ztm6kwid8s+pRRrpT2Z3pPgg/liV6tBqKOyYrZ7MwjUdWC4XVvbAMNTuh+wj2ifRmKbJq8v288qyNO5qUZOZD7UnyNdTayaXUZitmo+2GEJFleosOLiAuJpxRAVG6U7mEobEDKGkooSvD30N7R9VRaDUqbpjuYzbm4Qz+5E4LhWXMXB6MvvPXNIdSR1PDY6Sjvq61U1QiyTJMonGpW3+ACpKZKeuHZLig7g2HcdBRanayiZcU/IkCI6UCyt7ENtPTaJJelfbJJryCgsvfLmL99YdYURcJBPvbY23h3SSrjRXdNRfd3IdmQWZ0miyEsWExNAyrCXzD8zHDKihGt05wCQaZ9I6sioLxnTEw81gyHspbD6m8Wd/ZUd9dw99OcRPo+KzD6tFE+F6Sgth0wcQ0xtCG+lOI35Big/i2oQ2Uk/izR+oJ7VwLSc2w/EUiHtcLqzswY+TaE5tUf9fKllxWQVjP9/GvC0neaJHI/7VvxnubrIbptKUFf/UUb96LHMPzKW6b3W61emmO5lLSYxJ5NilY2zK3ATx4+x+Eo0zalg9gAWPxRMW4M2IDzeyan+WniBJ76qO+q2H63l88XOx/SEoUibRuKodn0NRttqpK+yOFB/EtYsfD0U56kktXEvKJPAJgtYjdCcRP9I0ieZScRkPfLyJlfuy+HvfJjx9ezSGHMOpXD921I8fz4m8EySfSmZg9EA83KQwWJl61u1JkHeQajxZPRYa9bTbSTTOLCLYl/mPdiSmRgCjP9vKl1tPVm6AcwdUv4f2o6Wjvr1w94COY1Vx/sRm3WlEZbJUQMoUiGgHkXG604irkOKDuHaRcVD7FvWktpNGd6ISZB+B/Uug3SjwrqI7jfiRl5+62D2wHM6lV8pDnssrYej7qWzNyOHde1sxslO9SnlccQVLhVrNq9Ua6nVhwYEFuBlu3NPoHt3JXI63uzcDGgzgh+M/cK7w8nhFO5xE4wqqVfHmi0fiiKsfwjPzd/Lh+iOV9+Apk8DDR70eC/vReoRaNJFJNK4lbSnkHFW9sWRhxC5J8UFcux/P0eUcVU9u4RpSpoKbB3R4VHcS8UvtH1EXvZWwtfREdiGDpydz+Fw+HzzQjv6tImz+mOIq0paqs8ydnqTUUsaig4voWrsrNfxr6E7mkgbHDKbcLGfhwYVqEk1EW/V8lAJ9pavi7cHHI2/hzmY1+Pc3+/nPijRMW/fEycuCnXOg1TDwD7XtY4nr4x0A7R5SiyfZlViMEvqYptoNWrUeNO6jO434DTYtPhiGcYdhGOmGYRwyDONPV/l+pGEYPxiGsd0wjF2GYfS2ZR5hBY37qCd10kRtje5EJbqioz4B8uHG7viHquMXu+ZCXqbNHiY9M4+B05LJLijl84c70D1GxlZpYZqw4R31Ghzbj+8zvienJEcaTWoUFRhFx5odWXBwARWmBTpNUAX6/Yt1R3NJ3h7uTB7WhqHtI5m65jAvLtpNhcWG1yqb3oOKMtWDR9ifDmPU4kmKTKJxCcdTVS+sjo+r3ljCLtms+GAYhjswBbgTaAIMNQyjyS9u9hIwzzTN1sC9gLw62Ds3d/WkPrVFPcmFc9v8EZQXyYWVPev4uLr43fieTe5+a0YOg6cnAzB/TDxto0Js8jjiGhzbAKe3qR1obu7MTZ9LnYA6xNWSc606JcYkklmQybqT66DxXRDSQBWJpECvhbubwSt3N2Nc94bM3nSCxz/fRkm5DXailOSrBqOxfaBaA+vfv7h5MonGtSRPUr2wWknjV3tmy50P7YFDpmkeMU2zFJgD9P/FbUwg8PLvg4DTNswjrOXHRndyjs65lRXBxumqiVr1WN1pxG+p1gCa9FOFopI8q9510qHzjPhwIyH+Xnz5WDwxNQKsev/iOiW9C/5h0GoYB3MOsu3sNgZHD8bNkBOUOnWt05XqvtWZe2CuKtDHj4czO+DoOt3RXJZhGDzbK4b/69OEFXszeXjmFopKrVyA2PYpFF9Uu12E/YofpxZRZFS8czt/UDV+veVh1RNL2C1bXrFEACeu+PeTl792pb8DIwzDOAksA8Zf7Y4MwxhtGMYWwzC2nDt3zhZZxfXw8lNnzdOXqSe7cE7bZ6nmaQlP6U4i/kj8k1ByUV0MW8n3+7J48JPNRIb4MW9MR+qEyJu5Vpl74NB3qveKpy/zD8zHy82LAQ0H6E7m8jzcPBgYPZDkU8mcyDsBLYeCf3VVLBJajUqox38GtSDp0Hke+HgTecVl1rnjijJInQqR8VC7nXXuU9hG9ViIvlPtDiwt0J1G2ErKZHD3ksavDsCWxYertRj95R7EocAnpmnWBnoDnxnGr5dwTNN83zTNdqZptgsLC7NBVHHdbrnc6C5lsu4kwhYqytXOljodILKj7jTij9Ruq5rdpUxVF8U3acnO04yZtZXGNQKYMzqO6gE+VggpbkryRPD0h3ajKCwrZMnhJfSs25OqPlV1JxPAwEYDcTPcWHBgAXj6QNwYOLwKzuzSHc3lDWlXh4lDW7PteA7DP9xITkHpzd/p3q/g4gnVUV/Yv4SnoCjbqgV6YUfyz8GO2dBqKFSRz4n2zpbFh5NAnSv+vTa/PlYxCpgHYJpmCuADSLtgR1AlTK3u7JgN+Wd1pxHWtnch5B5Xb9gyqsgxxD8Bl07C3kU3dTfzNp/giTnbaRNZlc8f7kBVfy8rBRQ3LPc47F4AbUeCXwjLji4jvyyfITFDdCcTl4X7h9OtTjcWHVxEaUWpGk3sVUWOJ9qJPi1q8d59bUnLzOPe91M5m1d843dmmpD8LoRGQ6Ne1gspbCeyg9qlkjwZyq1QfBL2ZdP7UFEq/ckchC2LD5uBRoZh1DMMwwvVUPKX7Z+PAz0ADMOIRRUf5FyFo+g4Tj3ZN32gO4mwJtOEDW9DWKxcWDmSRj0hNOamJtHMSDrK81/uIqFhKDMfak+Aj6eVQ4obkjJVFQE7jsU0TeamzyW6ajStwlrpTiauMCRmCDklOazMWAm+wapYtGch5GTojiaAHrHhzBh5CydyChkyPYVTuUU3dkdH1kDm7suNX6XfisNIeEoV6Pcs0J1EWFNpIWz+AGJ6Q2gj3WnENbDZq6ZpmuXAOOBbYD9qqsVewzD+aRhGv8s3ewZ4xDCMncBsYKRp86HMwmpCG6rO3pvet3qjO6HRwZVwdh8kTJALK0fi5qa2AGfthiM/XPcfn/LDIf6xZB+9mobz4QPt8PWSMVV2oTAbts2E5oMhqDa7zu8iLTuNxJhEDNmVZFfiasYRFRjFvPR5l78wFgw3SJmiN5j4n04NQ/lsVAcuFJQyZHoKR8/fQA+A5IlQJVxNURCOo9HtEN5MTaKxWHSnEday7VMoypEjUA7Epp8sTNNcZppmtGmaDUzTfPny1/5qmubiy7/fZ5pmJ9M0W5qm2co0zZW2zCNsIOFpKM6FLTN0JxHWsuFtCIqEZgN1JxHXq/lgqFLjuhrdmabJ6yvSeOPbdAa0qsWUYW3w9pDCg93Y/CGUFapVVmBu2lz8Pf3pU7+P5mDil9wMNwZHD2b72e2kZ6dDUAS0GKIujgsu6I4nLmsbVZXZj8RRVFbBkPdSSM+8jsWTM7vg8GroMAY8vG0XUlifYajdD+fT4cBy3WmENZSXqmJgZDxEyshpRyHLmuLm1G4L9bupxpNlN3GGUtiHjBQ4nqI+6LjL3PEC6wAAIABJREFUlnuH4+GtGt0dWQNndv7hzS0Wk78v3su0NYcZ2j6St4a0wsNd3hbsxpXjbsObklOcw4pjK+hbvy9+njJ9xB4NaDgAb3dv5qbPVV+If0KN+dssxxPtSbOIIOaOjsMAEt9PYdfJ3Gv7g8mTVC+Pdg/ZNJ+wkSYDIDgK1r91w8cThR3ZNRcunYIuz+hOIq6DXGWKm9f5GcjPgh2zdCcRN2vD2+BXDVqP0J1E3Ki2D15udDfpd29WYTF54ctdzEzJ4OGEerxydzPc3GQbv13ZPgsKL0CnCQB8degryixlJMbIdm97FeQdxJ317mTpkaXkl+ZD9cYy5s9ONQoPYP6Yjvh7eTDsg41sOZb9+38g9wTs+RLaPKB6egjH4+6htuef2gLHNuhOI26GpUJds9ZsBQ166E4jroMUH8TNq9sZat+itnpbYcyf0CRzDxz8Fjo8Bl6yquqwrmx0l3v8qjcpr7Dw9LwdzN96kid6NOIvd8VK/wB7U1GudpRFtIOoeCymhXnp82gb3paGVRvqTid+R2JMIkXlRSw5skR9odOTaszf9s/1BhO/ElXNnwWPdaR6gDf3f7yJ1CO/czwmdZr6Ne6xygknbKPVCPCvrj64Cse17yvIPqwWQOX6xaFI8UHcPMOAzs/+NA5OOKakd9WKefuHdScRNyvuMfW8vMruh7IKC0/O3cHXO07zXK8Ynr49WgoP9mj/Ysg5phq/GgbJp5M5mX+Se2Pu1Z1M/IFmoc1oWq0p89LnYZomRHWEOh0gZZIqKgm7UjPIlzmPxlEr2JeRMzaRdOj8r29UcAG2fgLNB0FwnV9/XzgOTx/1Hnl41TUdTxR2yDTV0ZnQGGgs/Y8cjRQfhHVE97rcRfgt6SLsiHKOqe2k7R4E36q604ibFVQbWg2DrTMhL/N/Xy4ttzD+i+18s+sMf76zMY93lxV0u2SakPQOVGuoxoehGk1W86lGj0jZXuoIEmMSOZR7iK1ZW9UXOj2pCvT7vtIbTFxV9QAf5oyOo241fx76ZDNrD/xi6nvqFNX4NeFpPQGFdd0yCrwD1eQL4Xj+n737jq/xfOM4/jnZO3YQI7ErQgiJLUFtRe29R1V1mFVt0dZoVZUq/dli1ahVtfeWIDGCDCNiJyGyx8nz++O2Z5BznnOS+/165VXO/CrnnOdcz3Vfd8g2uH0W6nwld2UzQvJvTMoaGo14E4gKgQub1E4jva3DM8HEFKp/qnYSKavU/goy0uHQDABS0rUMXnaCredu8V2L8gysV1LlgNIrXd4nzsjVHAomptyIv8G+yH18XPpjzOUgWKPQxLUJ9hb2TwZPlmkK+cqIopIcdGeQ8tlZsrx/dUrmt6P/4gB2nb8trki6B8f+B+VbiRkekvGzchRDQ4PXQ3S42mmkt6EocGAq5JK7shkrWXyQsk751pCnJBz4VR5cGZP4O2KwXaVO4FBI7TRSVsnjKrb5C1hA8v1bDPQ7wc7zd/ihlRt9aruqnU56nYPTwc4JKorBkmtC1qDRaGhfpr3KwaTMsjazpnWp1uyM2ElUUpQ4O1dzKNw6I7ZqlAxSHlsLlvf3pmxBewYtPcG2c7ceDguNg7oj1I4nZaXqg8HEXGzVKBmPKwcg0l90k8livFGSxQcp65iYij2UbwZB2C6100iZdWwOpKdAzc/VTiJltTrDULQp7Jz/LftC7jLpY3e613BRO5X0OjeD4NIe8B4E5lakadNYG7qWukXqUshOFgeNSYcyHUjPSOef0H/EBRU7gH0h0f0gGaxcNhYs7eeNW2FHRi07SNqhWWJdecEKakeTspK9E1TuCoHLn1meKBm4/VNFcd5D7spmrGTxQcpaFTuCg7PofpAMX/IDOD4Pyn8E+eT6/+wm0cGVw1Z18X2wgekti9HZq5jakaQ32f+LWItctQ8AOyN2EpMcIwdNGiEXRxeqF6rO6pDVaDO0YGYpzrZe3g8Rx9SOJ72Go7U5fn29GJlnP+ZpD9hbsKfakSRdqPmZWJ549E+1k0iZERkgliXWGCIGh0pGSRYfpKxlZiFaSyMOw9XDaqeR3uTEQkiJFR0rUrYSn5JOrwX+TIhthq0mhVbJG9SOJL3JzdNwfpOYxG6dC4CVF1ZS1L4oNQrXUDmc9C46le3ErYRb7I/cLy6o1hds8sHeSeoGk97IXpNCZ+0mTlpWo8+2NP45Gal2JCmr5SkBbm3AfwEk3Vc7jfQmB6aBVa7HxXnJOMnig5T1qvQQB1ey+8GwpSXDkVlQwhcKV1Y7jZSF4pLT6LngOCci7jGkY0sxKO3YX/LgytDtmwKWjuLsOBByL4STd07SoUwHTDTy49oY1StajwI2BZ4MnrSwFWuVL+2BiKPqhpNeL2ABmqQYynf6gRol8zJsdRCr/K+pnUrKarW/FDM9/OepnUR6ndvn4OJmUZy3tFM7jfQe5NGMlPUsbKDGYAjbCTcC1U4jvUrQCoi/LbsesplHhYega/f5o3NlWlYqLAalpTwQBQjJMN0Mggv/ivfOh10Pqy6uwsLEgtalWqscTnpXZiZmtCvTjkM3DnHtwcMvrtX6gm1+2f1gyFITxSDCEr5YudZgfs9q1Cmdn1H/nJYFiOymoDuU+hCOzoa0JLXTSK9y8DewsAOvAWonkd6TLD5IulGtnziDJ7sfDJM2HQ79DoWrgGtdtdNIWeRR4eF0ZCx/dKlMU/eHAwoLukPZZmJda/IDdUNKL7f3YdeD9yAAEtIS2BS+iSauTchllUvlcNL7aFu6LWYaM1aFrBIXPO5+2AtXj6iaTXqFk4sh4S7UGwmAlbkp/+vu+aQAESALENlK7S8hMQpO+qmdRHqZ6HA4u1Yst7DJo3Ya6T3J4oOkG1aO4NVfrF++e1HtNNLzTq+Ee5eh7nDQaNROI2WBuOQ0ei30f1x4aFLhuZ0R6o6A5PuytdQQ3QgU7aQ1Pn3c9bD50mYS0xPpWLajyuGk91XApgC+xXxZF7aO5PRkcWHVvmBbAPZOVDec9KK0ZFGcL14bitd8fPGjAkTtUvkYtVYWILKV4jWhWA04OE12PxiiQ7+LbVFrDFE7iZQFZPFB0p3qg8HcWrRKSYYjPUWcZS1cRZwNl4zeo8JD0LX7zOz8ksIDgHMV0Vp65A9ITdB/SOnV9k0RBdvqoutBURRWXlzJB3k+wD2fu8rhpKzQqWwnYlNi2X51u7jAwgZqfyF2vrhySN1w0rNO+UHczcddD0+zMjdlbo+qsgCR3Wg0UH+s+Hv3n692GulpsdfFdqhVuovtUSWjJ4sPku7Y5gXPXnB6Fdy7qnYa6ZGTSyA2QnzQyq4Hoxefkv5M4eHxUouXqTcSEqMhYIH+Akqvd+MUXPxPnNGxcgTg1J1ThN4LpWPZjmjkazRbqFawGq6Orvx94e8nF3r2ftj9IGc/GIz0VDg4HYp6v3JJ4vMFiNWyAJE9uNQWA7gPToOUOLXTSI8c+QNQxFI1KVuQxQdJt2oMAY2JaJmS1JeaCPt/geK1oGR9tdNI7yk+JZ2eC44TmJnCA0BRL3CtB4dmyNZSQ7F3stg67OGsB4C/L/6Nvbk9TV2bqhhMykoajYaOZTtyOuo0wdHB4kILG7HW/MoBuHJQ3YCSELQCHkRC3ZGvLc4/XYAYKQsQ2Uf9b0WB/tgctZNIAAlRELAQ3DtArmJqp5GyiCw+SLrl6AweXeDUUoiVe2Srzn+e2OFCdj0YvacLD39kpvDwSL1RkHAHTizWbUDpza6fhJCtUHMIWDkAEJ0Uzfar22lVqhU25jYqB5SyUsuSLbE2s2bVxVVPLqzaG+ycRBFKUpc2TQzJLlwFSjV4482fL0CsOSGPcYxeEU+xHPXQTEi6p3Ya6fBMSE+Wu7JlM7L4IOle3eGAIltL1Zb8QMzfKNngmSFakvGJT0mn17sUHgBcaonOl0O/i/kfknr2Tgbr3OA18PFFa0PXkp6RTvuy7VUMJumCg4UDzVybsfnSZmJTYsWF5tZPuh8uH1A3YE53ZjXcvyqWp2WyOP90AWLEmiBZgMgOfL8RW1Mfnql2kpztwQ3RgVKxA+Qvo3YaKQvJ4oOke7mKQbX+YmDMnQtqp8m5js2BpBjR9SAZrUeFh1OZXWrxMnVHQNwN0ZEkqSPyBIRuezjrQXQ9pGnTWHlhJbUK16KEYwmVA0q60OWDLiRrk1kdsvrJhZ69wK6gKNArimrZcrQMreh6KOgOZZq81V0fFSBqlZQFiGyhYAWo8DEcnQPxd9VOk3PtnSxel75j1E4iZTFZfJD0o84wsLCD3T+onSRnSowRVfxyLcSuB5JRSkxNp89C/8eFh2bvUngAKOEDRbxEJ0x6alZGlDJr38OuB+8nXQ9br2zlbtJdupfvrmIwSZfK5C5D9ULVWXFhBWkZaeJCc2uo8xVcPSQ6ICT9O7cOosPeOOvhVazMTZnX80kBYv2p6zoIKemNz9eQniR3a1PL3RCx60y1fpDbRe00UhaTxQdJP2zzQs2hcOFfiDimdpqc5/AMMb3Z9xu1k0jvKClVS99FAQRcjWF6R493LzyAOLiuNxJir8HplVkXUsqcyAAI3Q41PwNLe0Bsr+kX7EdJx5LULCyXRWVn3ct3507iHbZf2f7kwio9wb4Q7JHdD3qXoRWDmAuUFwX6d/SoA6K6a16+WhXIpqAbWRhS0qt8paFSFzEnK1YWkvRu9wQwt324bFvKbmTxQdKfGoPFtmI7x8mDK32KvwPH/gL3duBUXu000jtITtMywC+Ao5ej+bVDJVpWKvz+D1qqITh7itbG1MT3fzwp8/ZOAus84DXg8UUBtwM4H3OebuW7ye01s7nazrVxcXDBL9gP5dFnobkV1P4KIg7D5X3qBsxpglbC3QtiOZrJ+x0WW1uYMr9XVaoWz8MXfwey9ezNLAop6V29kaBkwIGpaifJWa75w/lNojhvm0/tNJIOyOKDpD8WtuAzShxchWxTO03OcWCaGCzo87XaSaR3kJKuZdDSExwIjeLnthVpU7lI1jywRgONfoQH1+HorKx5TOnNrh2HsJ1Qa+jjrgcAv2A/clvmpkWJdz/zKhkHE40J3ct351z0OU7dOfXkiio9wL6w7H7Qp9QEsRzUuSq4tcmSh7SxMGNB72pUKuLIkOWn2BF8O0seV9Kz3MXBsyecXAIxl9VOkzMoijhBaZsfanyqdhpJR2TxQdKvKj0hTwnYNV60Okq6FRsJAfPFdqd5S6qdRnpLqekZfLrsJHsv3mXSx+60r1o0a5+geE3RZnxwOsTJA2S92DsZbPKKIbwPRTyIYO+1vbQv2x4rMysVw0n60rJkSxwtHfEL9ntyobmVmP1w7Shc2qtathzl8B8QdxMaT8zS7aftLM1Y1McLN2dHBi87wZ4Ld7LssSU9qjMcTMxg389qJ8kZwnbC1YNiS3BLO7XTSDoiiw+SfpmaQ/1v4U4wnF715ttL72f/L+K/9Uapm0N6a2naDIauOMXO83f4oZUbnb2K6eaJPpwg9tHeO1E3jy89ce04hO8S82+eOrBadn4ZpiamdCrbScVwkj5Zm1nTvkx7dl/bzbW4a0+uqNIDHJzlzhf6EHdLbDlcvhUU887yh3ewMmdJHy/KFrRn4NIT7A+ROycYHYdC4NVfzEa6e1HtNNlbRoboesjtIk5UStmWLD5I+le+NRTygD0/QVqy2mmyr5hLYitFz96QK4vPmEs6la7NEOuFz93iuxbl6V7DRXdPlrekmCh9cgncOa+758npFAV2jgebfOJg9qEHqQ9YF7aOZq7NyG+TX8WAkr51KtsJE0xYfn75kwvNLB92PxyDkK3qhcsJdv8I2lRoOE5nT+Fobc7Svt6UzG9H/yUBHA6L0tlzSTpS60swt4E9skCvU2dWw+2z4gSlmYXaaSQdksUHSf9MTODD8WLSfsB8tdNkX3ungIm52OZUMhraDIXhq4PYfPomY5qVo09tV90/ab1RYv7A9m91/1w5VfB60U7qO0bMv3lobchaktKT5PaaOZCTrRONXRvzT+g/xKXGPbmiSk/IVwa2jRHzeqSsd+usKM57DRBLQXUol40FS/t6UTyvDX0XB3DsUrROn0/KYrZ5ofpg8R5+87TaabKn9BRRDCxYEdw+VjuNpGOy+CCpo4QPlPCF/VMhOVbtNNnPnQtw+m/wHgD2TmqnkTIpI0Nh1NrTrA+8wYjGZRlQV09zOmzyiEnvYTsgfLd+njMnSU2EbWPByR08ez2+OD0jneUXllOtYDXK5SmnXj5JNd3LdycxPZF/Qv95cqGpOTSZJLrXjv6pXrjsbMe3YOWot6388tpZsqxfdQrnsqL3In9OXI3Ry/NKWaTmELDKJTp2pawXsABiI0QX0nvuOCMZPvk3LKmn4ThIioFDM9ROkv3s+Qks7KDWF2onkTJJURS+WX+WNSci+aJhaT71LaXfAF4DxFrLbWPlMNisduh3eBAJTaeAienji3de3cmthFt0/0B2PeRUbnndqFKgCsvPLyc9I/3JFaUaQpmmokAfd0u9gNlR6E5RZK03ShRe9SS/vSUr+lfHycGKngv8Cbp2X2/PLb0nK0eo9blYCnXNX+002UvyAzGfzLUelKyvdhpJD2TxQVJPYQ+o0Fac2ZEHV1kn8gSc3yi2KdLjgZX07hRFYfymYFYcj+BT35J83qC0/kOYWYqC4J1zELhM/8+fXd2PgEPTxTZ+LrWeucov2I9i9sWoV7SeSuEkQ9CjfA9uJNxgd8RzXUeNfxIzCXaOUyVXtqRNh+1jIbermHWjZwUcrFje35s8thb0WHCc4BsP9J5BekfeA8UWkDu/l8Ngs9LhmZAYLY4/snDHGclwyeKDpC7fb8TBldzGKGtkaGHzl2BfSO6RbCQURWHK1ossOnyFvrVdGd6oLBq1PoDLt4YiXrD7J0iJVydDdrP9W0ADH/7wzMWBdwI5HXWarh90xUQjP4pzMp+iPhSxK/LstpsghsFWHwxBKyAyQJ1w2c0pP7h7XsydUmmoXSFHa5b188bWwpRu848RejvuzXeS1GdhK45Zrx4SwxGl9xd3G47MEscezlXUTiPpiTzikdSVt6RYA31iEUSHq53G+PnPh5tBYs9yKwe100iZ8PuuUObsC6erdzHGNv9AvcIDiLMOjX+C+FvibIT0fi4fEEPKan/5wo4zfsF+2FvY07pUa5XCSYbC1MSUbuW7EXg3kDN3zzx7Zd3hYFcQ/hshtqKT3l1KnFiSWKwGfPCRqlGK5rFhWf/qmJpo6DLvGJejElTNI2VSlZ7gXFUMg02Sy2be2/6fxVbfDb5TO4mkR7L4IKmv7kgws4LdP7z5ttKrxd0W/w9L1hct3pLBm7MvnOk7Q2nnWYQfWlVQt/DwSFEv8e/n8Ax4cFPtNMZLmw5bR4NjMag19JmrbsTfYGfETtqVaYeNuY1KASVD0rpUa+zM7V7sfrC0F2fpb5wUHRDSuzs4HRLuQqOfDKK92zWfLcv7eaPNUOg69yjXYhLVjiS9iYkJtJgmlgns/lHtNMYtOlycePTsKU5ESjmGLD5I6rN3EksEzq2Da8fVTmO8tn8jtitqNtUgDqyk11t06DKTt1ygZaXCTGlbERMTA/o7azgOMtLlwdX7OLlI7Fne6Acwt37mquXnl6NBQ5dyXdTJJhkcW3Nb2pZuy/ar27mV8NwMJPcOUKSamP2QLGcEvJPYSDjyB1RoB0U81U7zWGkne/z6ehGfkk6XeUe5FZusdiTpTQpVEgOa/efB9ZNqpzFeO8eBqYUY/CrlKLL4IBmGWkPBwRk2DoX0VLXTGJ9L+8QaxNpfygqyEVhxPIJxm4Jp7ObEtA6VMDWkwgOIXS+8B4rBk3Jf87eXGCMKNy51oHyrZ65KSEtgbehaGhVvREHbgioFlAxRlw+6oKCw/PzyZ68wMRE7pSTcEW3K0tvb/aMYEmiA7d1uhR3x6+vNvYQ0usw7yt24FLUjSW/i+w3YOcHmr+TuUO/iwmYxGL32V2AvPwdzGll8kAyDpT20+E0Mgjo4Te00xiU9BTYPE9O7a8utNQ3dulORjFl3Bp+y+ZnRuTLmpgb6NlxnGFjnEpPh5WTvt7NnIiTHQpPJL3QhrQtdR3xaPN3Ly+01pWcVtitMw2INWROyhsS051rwnT3BoxscnQNRYeoENFY3AsWSleqDIHdxtdO8VKWiuVjYuxo37yfTbd4xYhLkSRiDZuUg5iPdOAUBC9ROY1ySY8UxawE3sX2plOMY6FGvlCOVaSxaIvdPhTvn1U5jPA7PhOhQsdziufZuybBsPn2TYauCqFEiL3O6eWJpZqp2pFezzg31RsPlfRC6Q+00xuP2OQiYD1X7QMEKz1ylzdCy9PxSPPJ74J7fXaWAkiHrXr47cWlxrA9b/+KVDb4T85G2fa3/YMZKUUQB1SavKKgasGoueZjfsyqXoxPoPv8YsUlpakeSXqdCW3CtB7t+gPg7aqcxHju+h/jb0GqmajvOSOqSxQfJsDSdIrogNn4mW9ky494V2P+LaO0u3VDtNNJr7Ay+zecrT1GlWG7m9ayKlbkBFx4eqdoH8pQUX3bSktROY/gUBbaMAksH0Zb7nL3X9nI9/rrsepBeyaOABxXzVWTZ+WVkKM/tbmHvBPVGQuh2CNmuTkBjc24dXDkAPl+DlaPaad6oZql8/NXdk5DbcfRccJz4lHS1I0mvotFA82mQniQKXNKbXTkIJxaKLYSdDWf2iqRfsvggGRbbfKJVOdIfjs9VO41hUxT4bySYmEHjSWqnkV7jYGgUg5edxK2wAwt7V8PGwkztSJljZgHNf4XoMNg1Qe00hu/8RvFFp/5YsMnzzFWKorDg3AKc7ZypX6y+SgElY9DdrTsRcRHsvLrzxSu9B0HeUqIgKOcjvV7cbdHeXbiy2NLbSPiWLcAfXapw5nosfRf5k5QqT8QYrHylxNKB03/D5f1qpzFsaUlirluu4uA7Ru00kopk8UEyPBU7QKmG4svO/Qi10xiuC5shdJs4o+PorHYa6RX8r8TQf0kAJfLbsriPF/ZW5mpHejslfaFafzj6J1w+oHYaw5WWBNvGinWsnr1fuPrwjcOcvnuavu59MTMxkuKTpIoPi32Ii4MLc07PebH7wcxCFOijw+DYHHUCGgNFgU1DITUB2vwFpsb1vtvYrSDTOlTi+JUYBi09QUq6LEAYrDrDxBfqzcNkQfB19k2BmHBo+TtY2KqdRlKRLD5IhkejEcMnAf79Ug67e5mUeNHeXcBN7EogGaTTkffps9CfQrms8OvrTS4bI13f+OF4yFMC1g+GlDi10ximwzMhNkIsHTN9trigKAp/Bv1JIdtCtC7ZWqWAkrEwNTFlYKWBhN4LZVfErhdvUPpDKN0Y9v0szu5LLwpcBiFboeH3kL+s2mneSSsPZya1cWdfyF0+XxFIujbjzXeS9M/cWszcigqBIzPVTmOYbgbBoRliaG5JX7XTSCqTxQfJMOUqJoZrhe2E06vUTmN49v8MDyKhxTSjO6OTU1y8FUePBcdxtDFnWT9v8ttbqh3p3VnYQus54t/cNtku+YJbZ8Sg3PKtwbXOC1c/6nro594Pc/l6lTKhqUtTXBxcmB00+8XuB4Amk0CbAps+lwX6592PgC2joXht8P5E7TTvpZNXMb5tUZ6t524xYs1pMjLk37VBKtMIPmgJ+36Be1fVTmNYtOlijptNXmj8o9ppJAMgiw+S4fLqD0WqwdbRkBCldhrDcTsYjsyCyt2gWHW100gvcTkqga7zjmFpZsLyftUp5JgNdiEp5g01h8LJJRCyTe00hiM1Adb0EbuDNP/1hasfdT0UtC1Im1JtVAgoGaM3dj/kLQkf/gAhW+D4//Qf0FBlZIgOLRRoPQtMjP8wt29tV4Y3KsO6U9cZu+Esiiw2GaYmk0FjIrpSpSeO/CE6H5r9Ij4npRzP+N+VpezLxBQ+minavOWbuaAoYl2hpT00lAMADVHkvUS6zj2Koigs61edYnlt1I6UdXzHiKU+Gz+DxBi10xiGraMhKhQ+/p8YmPucIzeOcPruafq795ddD9JbedT9MCfoJbMfQCy5K9NETNq/dUb/AQ2R/1wx9LXxT5DbRe00WeZT31J84lOS5cci+GnzeVmAMESORcBnlCgIXvhP7TSGIToc9k6Cci3ErmyShCw+SIauwAdQdzicXSPPtgKcWAQRh6HheLDNq3Ya6Tl3HiTTdd4x4lPSWdLXi1IF7NSOlLXMLKHNHFF42DxM7TTqO/uP6ASp8xWUqPfC1bLrQXofpiamDKg4gJB7IeyO2P3iDTQaaPUnWOcR3TepCfoPaUiiwmDH91DqQ6jSU+00WUqj0TCycVl61ijOvIOXmb4zVO1I0stUHwz5P4D/RkDSPbXTqEtRxLIwU0sxE0OjUTuRZCBk8UEyfLW/Em/m/34JyQ/UTqOeG6dEB0gJH6jcXe000nNiElLpOu8YUXEpLOrjhVthw99T/p0UqijO7pz7B86uVTuNeu5dhU1fiKVhPl+/9CZHbhwh6G6Q7HqQ3llT1zfMfrDNK7puokJzdoegNh3WDRQF0o9mZssvOhqNhu9butHeswi/7wrlr33hakeSnmdqDq1mQfxt+GeAWAaUU51cIrqQGk0Ah0Jqp5EMiCw+SIbPzEIcTDy4AbvGq51GHYkx8HcPsCsAbRdki3Ws2UlsUhrd5x8jIiaReT2rUaVYNl/XWOtLcPYU3Q9xt9ROo3/aNFjbF1Cg7byXDn19uuuhdSm5w4X0bsxMzF7f/QCi66bOV3DKL+cWBA9Nh+sBYu5KNv6iY2KiYXLbirSoWIhJWy7gd+SK2pGk5xXxhKaTIXQ77P9F7TTqeHATtn8LLnWyXReS9P7kNxjJOBStBt6DwH8eXDmodhr9ytDC2n4Qfws6LJbLLQxMQko6fRb5E3I7jjndPalRMgf8/Ziaid0v0pJg49CcN21/72SI9IeW01+5rvzprgcLUyPdYlVZlcGRAAAgAElEQVQyCG/sfgDRfVOkmujGuXdFr/lUd+uMeE26tQH3dmqn0TlTEw2/dfSg4QcF+HbDOdaeiFQ7kvS8qn2hYicx7yB0h9pp9OvRbDJtCrT8PVt2IUnvRxYfJONRfyzkKQGreuasrYz2TobwXdD0Z3G2WTIYyWlaBvgFcCriHjM6Vca3bAG1I+lP/jLQcByEbhNnXHOKy/vhwK9i6VOFti+9iaIozA6aLbsepCzxdPfDnog9L7+RqTm0nS9+vbaf6M7JCdJTYN0gsMkDzaepnUZvzE1N+KNLFWqVysuINUFsOXNT7UjS0zQaaPEbOLmJ12NOKgju/wUubob634pdeSTpObL4IBkPSzvo/DdkpMHyjjlj/sPFrbD/Z/DoBp691E4jPSVNm8FnK05xKCyaX9pVoql79m31fSWvgaKtcuvXOaMgmBAt1vHmLQVNp7zyZkduHiHwbqDsepCyTFPXphR3KP767ofcxUU3TqS/OOOaE+ydDLfPQssZogCRg1iZm/K/7lXxKJqLoStPsS/krtqRpKdZ2EBHP9EJsKqH6BTM7s6uhT0/ia6PGp+qnUYyULL4IBmX/GWgwxKIChHTvbXpaifSnZhLsG4AFKwIzeWkYEOSkaEwfHUQO4JvM6GVG209i6gdSR0mJmK4FhpYPzh7vx4VBTYMhsRoaLcALGxfcTOF2YGzcbJxkl0PUpYxMzFjYMWBXLx38dXdDyC6cSp3hwPT4NI+/QVUQ8RRMeuhcjco20TtNKqwtTRjYW8vShewZ6BfAMcvyy2QDUqeEmIg7M0g2Dw8ey9RjAwQxwFFq8NHM+Qxq/RKsvggGZ8SPmKoVNgO2P6N2ml0IzVRDJhEIyrn5tZqJ5IeUhSFsRvOsiHwBiOblKVHDRe1I6krd3Fo9jNcPSi21cquB1fH/wchW6HRj2LHj1eQXQ+SrjR1bUox+2Kv734A0ZWTr7To0kmI1l9AfbobAis6Q65i0DiHdHm8gqO1OUv6elE4lzV9FvlzOvK+2pGkp5VtAnVHQuBSOLlY7TS6cf+aeD3aOUGnZWLXGUl6BVl8kIxT1d5Q/VM4NkcMocxOFEVsK3r7rJik/4qBdpL+KYrCpC0XWH4sgsE+JRnsU0rtSIbBowvUGy0OrnZ8p3aarHfzNGwfC2WagNeAV95MURTmBM3BycaJNqXb6DGglBOYmZgxsNLD7odrr+l+sLAV3TlJMaJbJ7sVBGMjwa8NmJhBt3/AykHtRKrLZ2fJsn7eOFqb03PBcUJux6kdSXqaz2go2QD+GwHXT6idJmulxMGKTpCeDF1WgW0+tRNJBk4WHyTj1egHKN0Y/hsJ4a/YgswYBcyH0yvF9PLSH6qdRnrKzN1h/G//JXrUKM6IxmXVjmNYfEZDtf5weAYcnK52mqyTGCOWeNnkhVZ/vraV9OjNo5y6c0p2PUg608y1GcXsizEnaA7K64oKBd1Fl07IVjj0u/4C6lpCtCg8pDyAbmvlQLunFHK0Znl/b8xNTeg27xhXoxPUjiQ9YmIqTibZFRRdrdmlIylDC2v7w53z0H4hFCindiLJCMjig2S8TEyh3XzIXw5W9YK7F9VO9P6u+cOW0VC6EdQdoXYa6SnzD15m2o4QPq7izLiWbmjkesZnaTRiR5YKbWHn93AyG+yAkRgDSz6C+xHiwPE129w+2uFCdj1IuvSo++FCzAV2X3tD0d1rAJRvLV6PR2frJ6AupcTD8vbi9dh55WuXP+VUxfPasrSfN2naDLrOO8bN2Bww5NBY2OSBjksg4S6s7SO+uBu7Hd9ByBax1KtUQ7XTSEZCFh8k42ZpD11WivVlyzsYdzU5/q6YiOxQWAwoMpEvT0Pxt38EP/wbTBO3gvzctiImJrLw8FImJtB6jmgv3TQUzv+rdqJ3lxAFi1tCVCh0Xg4utV9780ddD/3c+8muB0mnMt39oNGIotkHLWHraDj8h/5CZrX0FPi7G9wIhHYLwaWW2okMVhkne5b08eZ+Yhrd5h0jKj5F7UjSI4UriwHil/aKXSGM2YlFcOQPseuVV3+100hGRH67kYxfrmLQeQU8uCkOTtKN8IM2/i4sayfW6Hb0A+vcaieSHtoUdIPR/5yhbpn8/N7ZAzNT+bb5WmYW4t+ws6dYrnD5gNqJ3l78XVF4iA4TZ1jfcEZHURRmBc6igE0BPi79sZ5CSjmVmYkZAyoO4ELMBXZG7Hz9jU3NxZf18q3FgGZjXIKRoRXDMy/tgVZ/QLlmaicyeO5FHFnQqxrX7yfRY/5xYpPS1I4kPVKlh/g58KvxdiRd2gebh4nPxsYT1U4jGRl5FC1lD0WqQpvZEHEYNn1hXAO2osNh/odi2Uj7xVCoktqJpIf2XLjDl38HUq14Hv7q5omlmekLt7n24BprQtawIWwDJ26f4FbCrddPos8JLGzF4Kk8rmIC9o1AtRNlXvwdWNwCYi6LP0NJ3zfeZfPlzQTdDWJwpcGy60HSi+YlmlPSsSS/BvxKcnry629sag5t54Pbx6JN+sA0/YTMCooC/w2H4PVihoVHF7UTqS4pPYmwe2Hsu7aP5eeXsz9yP0npLy6v8HLNw1/dqxJ6J47eC4+TmJqNt0I2Ns2mPulI2j4WMozomCEqDFZ1h7ylxWBbUzO1E0lGRvPalj0DVLVqVSUgIEDtGJKh2jsF9k6EOsOg/reGv89wZIBYLgLii06RqurmkR47eimanguOU9rJjuX9q+NgZQ5Acnoy/rf8OXTjEAevH+Tqg6sv3NfCxILCdoVxtnemiF0R8WNfhEr5K5HfJr++/yjqib0OCxpDWhL02Qb5DHx3kLjbouMh9pp4PbrWeeNd4lPjabm+JQVtCrKs+TJMNLKmL+nHsZvH6Le9H4MrDeYTj0/efAdtOqwfBGdWQ/2xxjFXaPdPsP9nqPUFfDhe7TR6oygKQXeDuBx7mcj4SK7HXycyLpLIuEiik19cXmphYkHVglWp7VybWs61cHVwfTyXaOvZmwxedpJapfIxr2fVlxbRJRVkaEXx4fj/xKyk1rMNf4vK+xGwpBUkP4D+u+RubNIraTSaE4qivPRLjSw+SNmLosDGz+CUH5RrId7MDXUbrotbYXUvsHcS24XJqd0GI+jafbrMPUrhXNasHFCdOO1NDl4/yMEbBwm4FUCKNgUrUyuqFaxGLeda1CxcExONCZFxTx0kxkc+/m9cqtj2zMzEjJYlWtK7Qm9cHV1V/lPqSVQYLGgE5rbQd5uYaWKIHtwUhYcHN6Dr6kyvKZ/qP5UlwUtY1mwZ7vnddRxSkp41fN9w9l7by/pW6yliX+TNd8jQwvpP4PTf4DMGfEbpPuS7OjoHto6Cyt3ho5mGfzIhC6RnpLP1ylYWnF1A6L1QAEw0JhSyLYSznTNF7IuI/z4saBe0LUjY/TDx+XT9IJdjLwPgbOcsChGFa+FdyJv/TscwfHUQjco78WfXKnL5oKFQFLEUauf34FIHOi4F61xqp3q58N2wpq94D+m6Gop5q51IMmCy+CDlLIoCx+bAtm9E23fHZYa3/U/AQtj8lVhi0WUV2BVQO5H00MVbcXT83xHsrcwY3caE2WenPu5ucHFwobZzbWo718bTyRMrM6tMPWZsSizX4q6xMXwj/4T+Q6o2lYbFG9K3Ql/c8rnp8o9jGG6cgkUtwLEodF8HDoXUTvSsBzdEvvjb0HUNFK+RqbuF3w+n3cZ2tCrVinE1x+k2oyS9xK2EW3y0/iOqF6rOjPozMnenDC1sGAJBy6HeaLFNrqF9sT+5RJxIKNdCLEfM5q3dyenJrA9bz6Jzi7gef51SuUrR060nngU8KWhXEHMT80w9zvX46xy6fogD1w9w7OYxktKTMDMxo4lLE1zoyqTNV/m4sjNT21eSg5MNyelVsH4w5CstPoMcndVO9ISiwMFpsPtHsbtcx6XyZJn0RrL4IOVMVw6JzoLUBGg9C9wMYPs7RYE9E0UbaelGYhCYpZ3aqaSHrkYn0G7OETQaLc3qBrE23I+SjiXpVK4TtZxrUdS+6Hs/R3RSNMvOL2PlhZXEpcVRvVB1+rr3xbugd/bevvPSPljRCUwtoPmvos3UEP68sdfFjIf4u9BtbabP5iiKQv8d/QmODubfNv+SxyqPjoNK0svNOzOP30/+zp8N/qROkTcvFQJEAWLjUAhcKpZf+H5jGK/HxBhRmD+3Dkr4QOe/wTxzRV5j9CD1AasursIv2I+Y5Bgq5a9EP/d+1C1S972XcKVp0zh55yR7ru3h7wt/U8CmANVsP2PpPg3dqxdnQiu5ZbRBubQXVnYT3brd1kKBD9ROJJZXrP8ELvwLFdrBRzPETCdJegNZfJByrgc3xfaVkceh5mfQYJx6Z1C0aWIYZuBS0UbaYnq2P5tjTG7GJtF+zhHitbcpUX49obHBdCjTgRHVRmS6w+FtxKfGszpkNUuClxCVFEWFvBXo696X+sXqZ9+5AdHhsG6QeD2Wbw3Np4FtXvXy3DwtBmclxoilT0WrZfqu269sZ9i+YYzxHkPncp11GFKSXi9Vm8rHG8UuK/989E/mh55mZMC/n4suA+9PoOH3YG6tw6RvELJNdDskxohujFpfZNvPyKikKJYEL2HVxVUkpCVQ27k2fSv0xdPJUycFgdN3TzNy/0huJdyigk0HDga4M9inNCObGFhXaE536wwsbQfpSdDpzVs869SdC2IHuZhL0Pgn8B6k1wJlWloakZGRJCe/YaCupCorKyuKFCmCufmz3Vmy+CDlbOmpsG0M+M8Va+raLQQ7PQ/9S4mH1T0hbKfhtrnmYNHxKXT46wi3tcewKbwOMxMTxtUcRyOXRjp/7hRtChvDN7Lw7EKuxV2jdO7STKw9kXJ5sulBYYZWrHHdM1FsKfvRDCjbVL8ZEqJEC+nJxSLDWw57TUxLpNWGVjhaOLKyxUrMTLLnFyTJeBy6fohBOwfxeZXP6efeL/N3zMgQcxWO/08si2r0gygM6vPzKfmB+Iw+5QcF3ODjv6Bg9pyfos3QMv/sfP4K+ot0JZ3GxRvTx72PXt7v41LjmHBkAluvbCWfaQWunG/FyA+r8YmPbKE3KPcjRAHi3mVo8xdUUGH75nPrYP2nosuh/aJMz0DKSpcvX8be3p68efPKDh0DpSgK0dHRxMXF4er67BwzWXyQJIDAFfDvF2CTFzos0c/OEhla8Sa+72eIDoMWv4FnT90/r5RpsUlpdJq7j6ssx9TRn0r5KzGl7hSc7fS75lKboWX71e384v8L91LuMbTyUHqU74GpSTadTH7rrOiCuH0GPLpBk0m6Hw6rTYPjc2HvZEhLAK8BUG+kKEC8hRknZzD3zFyWNF1C5QKVdRRWkt7O57s/58jNI2xsvZGCtgXf7s5XDsKW0eL1WLwWNJkMhSrqJujTLh8Qa90fRIpOB5/Rhj/x/x1FxkUy5uAYTt05RROXJgytPJSiDu+/lO9tKIrCurB1TDo2Ca3WnNiIdoxr+DHda7joNYf0BokxsLILRByFKt3Fa0Mfcxa06bBrHByeCUW8xLGySjOazp8/T7ly5WThwcApisKFCxf44INnlwnJ4oMkPXIzSLSRxd2ChuOgSg+wtM/650lPgaCVcGi6aFnLV0Z8uSrVMOufS3pnianpdFywjksmczC1vEtf974M9hic6eFeunA/+T7jj4xnZ8ROqhWsxk+1fqKQnYENaMwq6amwbzIc/A0cnKH1n+BaVzfPFboTtn0NUSFQsr74cpW/7Fs/zNUHV2mzoQ1NXJowsc5EHQSVpHdzPf46rda3wqeoD1PrTX37B8jQim6gXT9A0j1RKK//Ldjmy/qwaUmwawIc/RPylBBneIt6Zf3zGABFUdgYvpFJxyehQcPY6mNpXqK5qpnC74czfN9wwu6HkRpdlx/rDae9Zw7ZgclYpCXDju/gxCLISAO3j6H2l1Cwgm6e7/Y52DIKrhyAav2h8UQwy+QSLh04f/78C19oJcP0sr8rWXyQpKclxsA/AyBsB5hZwwctwaMzuNaD9z3LnBIvDt4Oz4S4m1DIA+oMExO7TbLpOn4jlZyWThu/qVzT/I2DhQO/+k6mRuHM7XKga4qisD5sPZOPT8ZUY8q3Nb6lqauelybo0zV/WD9IdAd5D4J6o8AmiwY4RoWJlu7QbeJLTuNJUKbxO7WVK4rC4F2DOXXnFJtabyK/jZ6Xb0nSG8wOms2fgX8yr9E8vAu941Z4SfdEt97x/4ktcn1Gg1d/MM2CoqyiQMQR2PS5KAR6DRAnArLpELvYlFgmHJnA9qvb8XTyZGLtiRS2M4zthpPTk5l8/GfWhq5Gm1SEsV4T6VJFdnIZnLhbokjnPx9S46FME6j9VdZsdRl/F86sFjvf3Dojjolb/CaOiVVmCMWH27dv8+WXX3L06FFy586NhYUFI0eOpE0b3Q6wDwgIYMmSJcyYkckdjF7Dx8eHmzdvYmVlhYWFBXPnzsXDwwMAFxcX7O3tMTU1RavV8uOPP9KqVSsATE1NcXd/svxt/fr1uLi4vPQ5ZPFBkjJDUSAyQLzhnl0LybFgXxgqdgCPLm9/RjQxRrRzH5stDtxc6kCdr6CEr5ztYIDStRm0WDqa62yhpK0n85v/Sl5rFQcfvsK1B9f4+uDXBN0NonmJ5ozxHoODhY6XJqglNRF2jRfb5KKBwh6iIFjCB4pVf7tBeNo0iLkMp5bA0TlgZgX1RojCxnu0dO+J2MPQPUMZUXUEPdx6vPPjSJKuJKcn03pDa6xMrVj90er36+K6exG2jobw3aJ7r8F3UKzG23dC3I8Qk/wv7YPL+yDhLjgUgVZ/QEnfd89n4I7ePMo3B78hJimGTyt/Sm+33ga5jG5T2FbGHvwebYbC956zaV/JU+1I0ssk3YPj80QhIikGiteGOl9CyQZvd5yZngIXt4ju3LAdkJEOhStDpS5iFyo1h0A/Re3ig6Io1KxZk549ezJo0CAArl69ysaNG/nss89Uy/W2fHx8mDp1KlWrVmXhwoUsX76cHTt2AKL4EBAQQL58+bh48SKNGjXi6lWxtbydnR3x8fGZeg5ZfJCkt5WWDCFbxEyIsJ2gaKFwFajUGcp/BGggJQ5S48R/U+Kf/X1spHgTT42HMk1F0SGbto9mBxkZCp1W/sb5tIVUdGiKX+vJBr27RHpGOnPPzOWvoL8oYFOAibUnUrWgHuaVqOVmEFzcKr6kXDsu2k1NLcVZnhI+4OojChMmpuK1GBUCUaEQdVH8+m6IWOqUkQZooHJXqP8d2Du9V6ws/VInSTr0qEg2vOpwerq954whRRG7UGz7WryuAKzziGJE/jKQr+yTXzsWEx1+iTFweb8oOFze9+R+dk4PX8P1RMehrme8qCRFm8KMkzNYErwEFwcXptSdQvm85dWO9Vrn7oTTZXN3tFpzZtZbiG/pEmpHkl4lNUHsUHNoBsTdgEKVoGwzsYTY0h4s7MDSQWzj/vRl0eEQtOLhCbf7YF9InHCr1AUKGN6Aa7WLD7t27WLChAns27fvpddfuXKF7t27k5CQAMAff/xBzZo12bt3L1OnTuXff/8FYMiQIVStWpVevXoxevRoNm7ciJmZGY0aNWLq1KmsXr2a8ePHY2pqiqOjI/v373/mMY4fP84XX3xBUlIS1tbWLFy4kLJly7Jo0SI2btxIYmIi4eHhtGnThp9//vmFnE8XHy5cuMDHH39McHAw8Gzxwd/fn/79+xMYGAjotvggR3RLkrkVuLURP/F3RAta4ArYMkL8vImJObi1FmvxnNx0n1d6Z4qiMHjdCoJTF1PUqgqLW0006MIDgJmJGZ9U+oSahWvy9YGv6bOtD30q9GFI5SHZc5eFQpXEj88oUVyIOPLkrOmuCcAEsHIEC3sxpO4RjalYVpGvDJRrJr4UOXuKL0VZYOG5hVyPv868RvNk4UEyaD5FfajjXIfZQbNp5trs/ZYHaTRQtomYk3Jlv+iGeFTku7AZEpc8ua2ZlfhCc+8KoIjXqEtt8Booig75y2b7TsDw++GM2D+C0HuhdCzbkWFVh2FtpuL2pZnkVqAkM+vP5NM9/Rm6eyh+VgvxKCqXlRkkC1uo/glU7Qun/4bDM2DvpMzd18waPmghTq6V8Hn/pcZ6Mn7TOYJvPMjSxyxf2IHvW776mP3cuXNUqVLlldcXKFCAHTt2YGVlRWhoKJ07d+Z1J8djYmJYt24dFy5cQKPRcP/+fQAmTJjAtm3bcHZ2fnzZ08qVK8f+/fsxMzNj586djBkzhrVr1wIQGBjIqVOnsLS0pGzZsnz22WcULfrqIbZbt26ldevWz1zm6+uLoihcunSJVatWPb48KSnp8fIMV1dX1q1b98rHfVs6PXLVaDRNgN8BU2CeoiiTX3KbDsA4QAGCFEXpostMkvRadgWgxqfi59YZcfbGzOq5irL9s783t872B1TZxbf/7eBg7DRyWxRl9cezjOrLe6X8lVjTcg1T/Kcw/+x8zkaf5dd6v+Jo6ah2NN2xtIPSH4ofEOtTLz9s3U5LfvbMa54SOhuOFRkXyfwz82ns0vjd19FLkp5oNBpGe42m9YbWTDsxjUl1MvnF5HXMLMTA5OeHJidEP+w+uig6kO5fFUsXS/iIVu6smBNhJPZE7GH0gdFYmVkxq8Es6hbR0fBcHalb3JNvqk3gJ/8x9Pz3K9a2nUWpAtmzOyVbMLMQO2FU6S52qUiNFz+PO3QfPPX7OLDKBeWaZ9uOI1379NNPOXjwIBYWFvj7+5OWlsaQIUMIDAzE1NSUkJCQ197fwcEBKysr+vXrR/PmzWnRogUAtWrVolevXnTo0IGPP35xW9XY2Fh69uxJaGgoGo2GtLS0x9c1aNAAR0dxDFi+fHmuXr360uJD165dSUhIQKvVcvLkyWeu27NnD/ny5SM8PJwGDRrg4+ODnZ0d1tbWj7sgsprOjrw1Go0pMAv4EIgE/DUazUZFUYKfuk1p4GuglqIo9zQaTQFd5ZGkt1bQPdvuNZ4T/bbbn3U3J2BtYcOq1nOxs7BTO9JbszG3YXzN8Xjk92DC0Ql02dyFmQ1mUsIxh7TI2uUH93biR49+8f8FE40Jw6sO1+vzStK7KuZQjF5uvZh7Zi7tyrTD00lH6/ht84JtDShuGMN61aAoCvPPzmfGyRmUz1ue331/x8n2/ZZ5qaWTWwuux19n0YU/6LjqezZ2m4hzLsPv3MjxTM3AOpf4yYZe16GgK25ubo87DABmzZpFVFQUVauKlQS//fYbTk5OBAUFkZGRgZWVFQBmZmZkZGQ8vl9ycvLjy48fP86uXbtYuXIlf/zxB7t372bOnDkcO3aMzZs34+Hh8cIX/m+//RZfX1/WrVvHlStX8PHxeXydpeWTGVampqakp6e/9M+ybNkyKlWqxOjRo/n000/5559/XrhNyZIlcXJyIjg4GC8v3S4d12W/sRcQpijKJUVRUoGVQKvnbtMfmKUoyj0ARVHu6DCPJEk51OKjIcwN+RYz82QWN5tj9FtXtindhgWNFxCfFk/XzV05EHlA7UjZ1qbwTey+tpsBFQdQ0Lag2nEkKdP6ufejkG0hvjv0HfGpmVu7K72d5PRkRh8Yze8nf6eJSxMWNVlktIWHR77yGkAD549Itd9Ju6XTuRuXonYkSdK7+vXrk5yczOzZsx9flpiY+PjXsbGxFCpUCBMTE/z8/NBqtQAUL16c4OBgUlJSiI2NZdeuXQDEx8cTGxtLs2bNmD59+uMiQ3h4ON7e3kyYMIF8+fJx7dq1Z3LExsbi7OwMwKJFi975z2Nubs6PP/7I0aNHOX/+/AvX37lzh8uXL1O8ePF3fo7M0mXxwRl4+v9g5MPLnlYGKKPRaA5pNJqjD5dpvECj0QzQaDQBGo0m4O7duzqKK0lSdrQ+8BqTA77F1OoGv9b7Bbd8hj34K7MqF6jMyuYrcbZzZsjuISw+txhjGyBs6MLvh/PD0R/wdPKkl1svteNI0luxMbdhUp1JXI+/zveHv5fvD1nsTuIdem/tzX+X/2No5aFMqTsFKzMrtWO9N41Gwy/1x1EhdzXi7FbSfvFiYhPT3nxHScpGNBoN69evZ9++fbi6uuLl5UXPnj2ZMmUKAIMHD2bx4sVUr16dkJAQbG3FdsFFixalQ4cOVKxYka5du1K5sti+Ni4ujhYtWlCxYkXq1avHb7/9BsCIESNwd3enQoUK1K1bl0qVKj2TY+TIkXz99dfUqlXrcYHjXVlbWzNs2DCmTp36+DJfX188PDzw9fVl8uTJODnpvniqs90uNBpNe6Cxoij9Hv6+O+ClKMpnT93mXyAN6AAUAQ4AFRRFeXHixkNytwtJkjJr94XbfLplHGZ5DjLMcxS9KnRTO1KWS0xLZOyhsey4uoNWJVvxXY3vsDDVzeyDnCQxLZEum7twL+Ueq1uupoCNXBUoGaf5Z+Yz/eR0xniPoXO5zmrHyRbORp3l892fE5cWx+Q6k6lfrL7akbJcXGoc7TZ05XrcTYqljGR1nzbYWhrPnCTJuKm924WUeW+724UuOx8igaenXhQBbrzkNhsURUlTFOUycBEorcNMkiTlEEfCo/l00x+Y5TlI+9Kds2XhAcTZzan1pvJJpU/YEL6BPtv6EJUUpXYso/fTsZ+4FHuJyXUmy8KDZNR6V+hNHec6/OL/C+eiz6kdx+htvrSZnlt6Ym5qztJmS7Nl4QHA3sKeRU3/wsHShqvmM+ntt5vktPc78ypJkqTL4oM/UFqj0bhqNBoLoBOw8bnbrAd8ATQaTT7EMoxLOswkSVIOEHTtPv1WL8Es/wZqFqrLN9VHqR1Jp0w0Jgz2GMzUelO5GHORTv924nz0i2v6pMxZF7qOjeEbGVhpIDUK59xBelL2YKIxYWLtieS1zsuwvcN4kJq1W9blFBlKBr+f/J3RB0bjnt+d5c2XUyZ31mzla6gK2RVibuM/sbBI5Gz6dAYvP0qaNuPNd5QkSXoFnVLMW2UAACAASURBVBUfFEVJB4YA24DzwCpFUc5pNJoJGo3mo4c32wZEazSaYGAPMEJRlGhdZZIkKfu7eCuO7n7rMXFaRqlcZfjN9xdMjWQv6/fV2KUxS5ouQaPR0GNLD7Zf2a52JKMTei+Uiccm4l3Qm0EVB6kdR5KyRC6rXPxS9xduJ9zmu0PfyfkPbykhLYHP93zOvDPzaFu6LXM/nEseqzxqx9ILt3xuTPWZgql1JIcfzGTE6kAyMuS/H0mS3o0uOx9QFOU/RVHKKIpSUlGUnx5e9p2iKBsf/lpRFOUrRVHKK4ririjKSl3mkSQpe7sSlUDX+QegwBLy2jgw58NZ2JjbqB1Lrz7I+wErmq+gbJ6yDNs3jDlBc+QXjUxKTEvkq71fYWtuy+S6k3NM0UrKGTwKePCF5xfsitjFsvPL1I5jNG7E36D7lu7sj9zPaK/RfF/je8xNzdWOpVcNijVgeNVhmDucY/PVNXy38az8XJEk6Z3otPggSZKkLzfuJ9F13jHS7LehmN9lYp0fjX7Ls3eVzzof8xvPp2WJlswKnMWo/aNITk9WO5ZBUxSF8UfGExEXwc91fyafdT61I0lSlutRvge+RX35NeBXTt89rXYcg3fqzik6b+7MrfhbzG4wm64fdEWj0agdSxU9yvegVuFa2BXazrITgUzZelHtSJIkGSFZfJAkyehFxafQbf4xHmgvQ659tCnVhpqFa6odS1WWppb8VPsnvqjyBVuvbKX31t7cSbyjdiyDtSZ0Df9d/o/BlQbjVchL7TiSpBMajYYfav2Ak60Tw/cNJzYlVu1IBmtD2Ab6buuLnbkdS5svpaZzzv5M0Wg0fF/jeyxMTXEp+x9z9oUxa0+Y2rEkSTIysvggSZJRi01Ko8f849y4H0eRspvIa5WH4dWGqx3LIGg0Gvq692W673TCY8PpvLmznHb/EhdiLjD52GRqFq5J/4r91Y4jSTrlaOnI1HpTuZt0l7EHx8r2+edoM7RMC5jG2ENjqVKgCsubL6eEYwm1YxmEQnaF+NLzS6K0Z/FyD+OXbRdZfPiK2rEkSSdMTU3x8PCgQoUKtG/fnsTExLe6f79+/QgODs707RctWsSQIUMAmDNnDkuWLHmr5zMWsvggSZLRSkhJp/fC44TeiaO1byiRCeGMrT4WBwsHtaMZlPrF6uPX1A9TjSm9tvRi25VtakcyGPGp8QzbO4xclrmYVGcSJhr5sShlfxXyVWB41eHsjdzL4nOL1Y5jMBLSEvhizxcsPLeQDmU6MPvD2ThaOqody6B0KNsBTydPrmlWUe8DC77feI41JyLVjiVJWc7a2prAwEDOnj2LhYUFc+bMyfR9tVot8+bNo3z58u/03IMGDaJHjx7vdF9DJ4+yJEkySslpWgb6nSDw2n2+aZ2Lbdf9aOrSNNvuuf6+yuYpy/LmyymXpxzD9w1ndtDsHH/GU1EUxh0Zx/X46/xc7+ccM71ekgC6lOvCh8U/ZPrJ6QTeCVQ7juqux1+n23/dOHD9AGO8x/BtjW8xN8lZgyUzw0Rjwvia40nLSMXOeSM1S+Vh5Jogtp69qXY0SdKZOnXqEBYmlhktXboULy8vPDw8GDhwIFqtFgA7Ozu+++47vL29OXLkCD4+PgQEBACwYsUK3N3dqVChAqNGPdn+feHChZQpU4Z69epx6NChx5ePGzeOqVOnAhAWFkbDhg2pVKkSVapUITw8XF9/bJ0we9MNNBpNK0VRNjx3mYmiKHKjX0mSVJGmzeCzFac4GBbFz+0qsP7219ib2zPae7Ta0Qzao0GU44+M58/AP7l0/xI/1PoBKzMrtaPpnaIozDg1g21XtvF5lc/xdPJUO5Ik6ZVGo2F8zfGcjz7PF3u+YG6juZTOXVrtWKo4efskX+79kjRtGn82/DPHzwx6k+IOxRniMYRfT/zKD3Ubk5yam89WnGJeTzPqlcmvdjwpu9kyGm6dydrHLOgOTSdn6qbp6els2bKFJk2acP78ef7++28OHTqEubk5gwcPZtmyZfTo0YOEhAQqVKjAhAkTnrn/jRs3GDVqFCdOnCB37tw0atSI9evX4+3tzffff8+JEydwdHTE19eXypUrv/D8Xbt2ZfTo0bRp04bk5GQyMoz7K3hmOh8GajQabwCNRmOq0Wj6ABd0G0uSJOnlMjIURq45zY7g24z/yI0k672ciTrDaK/R8sx1JliYWvBjrR/50vNLtl3ZRrf/unEl9orasfRKURSm+E9h3pl5tCvTjj4V+qgdSZJUYW9hz6wGszDRmNBnWx+CozO/Pjk7UBQFv2A/+m7vi72FPcuaL5OFh0zqVr4bFfJWYNrJn5nWuTSlCtgz0C8A/ysxakeTpCyRlJSEh4cHVatWpVixYvTt25ddu3Zx4sQJqlWrhoeHB7t27eLSpUuAmBHRtm3bFx7H398fHx8f8ufPj5mZGV27dmX//v0cO3bs8eUWFhZ07NjxhfvGxcVx/fp12rRpA4CVlRU2Nsa9hfwbOx+AzsAGjUazGfgEOANkz0Uo/2fvvuN7vBo3jn++2TKJiNh7RpYVobRF0dauVXtv2mofHR6tanVqlZo1alWpUUXRllYRJFbEjL1FCCKRndy/Pzz8OlSNJHfG9f6nL/ne9zlXjDTfK+c+R0SyNcMweHvVAb7fe4H/NK3E09WsaLvqS54q/hTPlnnW7Hg5hsVioXe13pTPX55RW0fRYU0H3g56m+Zlm5sdLdOlG+mM3T6W5ceW07VKV0bWGplnj84TASibvyxzm82l78996ftTX6Y9Mw2/Qn5mx8p0MUkx/Df4v2w6t4mnSjzF+/Xe1/4OD8HGyoax9cbSYU0Hpu4fz4I+79FhxnZ6f72Tb/vXoVox/V5KBnnAFQoZ7c6eD39kGAY9evTgww8//Nv1Dg4OWFtb/+3j93vE9d++/8iNj8c+yMqHesAoYAjQ2zCMVoZh7MjcWCIif2YYBh+tP8LCHWcZ8GRZBj5Zhne2vYOtlS3/rfNfvYF8BA2KN2Bpi6VUca/Cm1ve5O3gt4lPebjdnHOS1PRURm0dxfJjy+nn00/Fg8j/lHQtydxmc8nvkJ/+P/dnZ+ROsyNlqr1Re2m3uh1bL2zl9VqvM+npSSoeHkGFAhXo79OfdafWceD6dhb2CcQ1ny3dZodw7HKs2fFEMlyjRo1YtmwZUVG3jy6/du0aZ86cue89gYGB/P7771y9epW0tDS+/fZbnnzySQIDA9m0aRPR0dGkpKSwdOnSv93r6upK8eLFWblyJQBJSUkPfepGdvMg5UM74AvAA5hhsVgmWyyWgZkbS0Tkzyb/epwZv5+ka52SvNGsMsuPLWfX5V28VvM1CjsVNjtejuXl5MXsprPp79uflcdX0vnHzhy/nvvObk9JS2Hk5pGsObmGYQHDGF59uIoHkT8o6lyUuc3m4uXkxaANgwi+EPzvN+Uw6UY6s/bPotf6XthYbFj47EK6Vu2qrwWPoa9PXyoUqMB729/D2TGFb/oGYmNtRZdZIZyJvmV2PJEMVbVqVd5//32aNGmCr68vzzzzDJcu3X+z1SJFivDhhx/y9NNP3900slWrVhQpUoQxY8YQFBRE48aNqV69+j3vX7BgAZMmTcLX15e6desSGRmZGZ9alrE86HIOy+2vzBUAH8DHMIwxmZjrH9WsWdO4s3OoiOQNs7ee4r01h2gbUIzx7f24HB9J6x9a41PIh5nPzNQ3jhlk+8XtvLnlTW6l3OLNwDdpU75Nrvi9TUpLYsSmEWw+v5mRtUbSrWo3syOJZFvXEq/R/+f+nIw5yfgnx+eaE4SiE6IZtXUUwReDaVq6Ke8EvYOLnYvZsXKFg1cP0nltZ1qXb827dd8lIjKWjl9tx9nehqUDgyjils/siJLDHD58mCpVqpgdQx7Avf6sLBbLbsMwat7r+gc+atO47ahhGMvNKh5EJO9ZsvMs7605RDNvLz5p54vFAu/ueBcDgzFBY3LFm+PsIqhoEMtaLsPP0493tr3DG1ve4FZKzv7JVXxKPEM2DmHL+S2MrjNaxYPIv3B3cGd209lUdq/MiE0jWH9qvdmRHtvOyJ20X92enZE7GV1nNJ82+FTFQwby9vCmh3cPVhxbwfaL26nk5cL83rW5EZ9Cl1khXI1LMjuiiGQTD1w+iIhktdX7LvLGiv08WbEQE1/0x8baitUnVxN8IZiXqr9EcZfiZkfMdTzyeTCj8QyGBQxj/en1dFjdIcfugB+XHMegDYPYGbmTcU+Mo0OlDmZHEskR3Ozd+OqZr/Ar5MfrW15n5fGVZkd6JKnpqUwLm0bfn/viZOvEoucX0aFSB5XWmWCw32BKuZbi3e3vEp8Sj2/x/MzpWYuLNxLoNjuUmPgUsyOKSDag8kFEsqUNhy7zypIwapVyZ3rXGtjbWHMz+Saf7vwU/0L+vFj5RbMj5lrWVtb09+3P7CazSUxL5MUfX+T9He9zLTHnHKF2I/EG/X7uR/iVcD5p8AktyrUwO5JIjuJs58z0Z6YT6BXI6ODRfHvkW7MjPZRtF7bRblU7pu6bSvOyzVnSfAmV3CuZHSvXcrBxYGzdsVyIu8CM8BkA1C7jzlfdanIiKo6ec0OJS0o1OaWImE3lg4hkO8HHrzJ40R6qFnVlds+a5LO7fXTRrPBZxCTFMKrOKKws+vKV2Wp61WRFyxV0qtSJZUeX0XxFc+YdnEdKWvb9CVa6kc7K4ytp9UMrIq5HMOHpCTQt3dTsWCI5Uj6bfHzZ6PZxxh+EfMCQjUM4d/Oc2bHu61TMKYZsHMKADQNITk/mi6e/YNwT43C0dTQ7Wq5XvXB1WpRtwcJDC7kYdxGABhULMenFAMLPx9Bv3i4SU9JMTikiZtJ37yKSrew+c51+83dRpqAT83rVxsXBFoDzsedZeHghLcu1pLJ7ZZNT5h1u9m68GfgmK1quwNfTl/G7xtNmVRs2nduU7c6fPnLtCD3W9WB08GhKuJRg0fOLeKrEU2bHEsnR7K3t+fzpz3mt5mvsitxF6x9aMzVsKompiWZH+5OYpBg+Dv2Ytj+0Zc/lPbxa41VWtlpJo5KNzI6Wp9w5SWjinol3P9asmhfj2/uy41Q0Q77ZQ0pauokJRcRMKh9EJNs4cCGGnl+H4uliz4K+tSngZHf3tUl7JmFtsWZowFATE+ZdZfOXZXrj6UxtNBUrixXDfh3GgF8GcOz6MbOjcTP5Jh+GfEjHNR05G3uW9+q9x/xn56ukEskgtla29PDuwarWq2hUshHT9k2j9Q+t+f3c72ZHIzU9lcVHFtP8++YsOrKI1hVas6bNGnpW64mdtd2/DyAZysvJi+5Vu7P21FoOXD1w9+NtAorzfutqbDwSxStLwkhLz17ltYhkDZUPIpItHI+KpcecUFzsbVjYNxBPF4e7r4VfCWfd6XV09+6Ol5OXiSmlfvH6LG+5nDdqv8HB6IO0W92O93e8z/XE61meJd1I54fjP9Di+xYsjlhMh4odWNV6Fa3Lt9ZjOSKZoLBTYT558hNmN5mNvbU9Q38dyrCNwzgXa86jGNsubqP96vaMCxlHxQIV+a75d7wT9A4F8xU0JY/c1rtab9wd3Pl056d/WiHXJbAUbz1XmTXhl3hjeTjpKiAkG7O2tsbf359q1arRokULbty4AcDp06fJly8f/v7++Pn5UbduXSIiIgDYtGkTbm5u+Pv74+/vT+PGjR9p7rlz51KoUCH8/f2pWrUqM2fOfKj7L168SLt27R7qnqeeeopdu3YB8Nxzz939fDOavjsTEdOdib5F55khWCwWFvYNpHiB/3821zAMxu8aT0GHgvSu1tvElHKHrZUtXap04cc2P9KxUkeWHV1G0+VNeX3z6/x29jeS05IzPUPEtQh6ru/Jf4P/S3GX4nz7/LeMqjMKN3u3TJ9bJK+rXaQ2y1os49UarxISGULrla2ZFjYtSx7FuBB3ga8PfE3HNR0Z8MsAktKS+OLpL5jVZJY2lMwmnO2cGeI/hD1Re/j13K9/eq1/g3IMb1SBpbvP8+7qg9nu8T2RO/Lly0dYWBgHDhzA3d2dKVOm3H2tXLlyhIWFsW/fPnr06MEHH3xw97X69esTFhZGWFgYGzZseOT5O3bsSFhYGJs2beKtt97i8uXLD3RfamoqRYsWZdmyZY8899q1a8mfP/8j338/Kh9ExFQXbiTQeWYIyWnpfNM3kLKFnP/0+sazG9kbtZchAUNwsnUyKaXcS36H/LwV+BbLWy7nuTLPEXwxmOG/DefJJU8yausoNp/fnKGbU16Ku8TK4ysZuXkkHdZ04HTMacbWHcuCZxdQtWDVDJtHRP6drbUtPav1ZFXrVTQs2ZCp+6bS+ofWTNoziZBLISSlJWXYXJG3Ipl/cD5dfuxCs+XN+Hz351hbrHmj9ht393XQ8ZnZS9sKbSnrVpYJuyeQkv7n/w+80rgCfZ8ow7ztZ/h4fYQKCMn2goKCuHDhwj1fu3nzJgUKFHjgsYYPH87YsWMB+Omnn2jQoAHp6f+8D4qnpyflypXjzJkz3Lp1i969e1OrVi0CAgL44YcfgNsrJdq3b0+LFi1o0qQJp0+fplq1agAkJibSq1cvfHx8CAgI4LfffgMgISGBTp064evrS8eOHUlISLg7Z+nSpbl69SoA8+fPx9fXFz8/P7p16/bAn+c/sXnsEUREHlFUbCJdZ4VwMyGFRf3qUMnL5U+vp6SlMGH3BMrnL0+b8m1MSin/plz+coypO4ZRdUYReimU9afXs/HsRladWIWrnSuNSjaiWelm1CpSC1sr2wceNzohmp2ROwmJDCH0UihnY88CUMC+AJ0qdWKw/2CtdBAxmZeTF58++SntKrZjStgU5hyYw8z9M7GzsiPAM4DaRWpT26s23h7eD/Xv/0r8FX4+8zM/nf6JvVF7AajiXoWXq79M09JNKe5SPLM+JckANlY2vFrzVYZsHMJ3Ed/RpUqXu69ZLBZGPV+FhJQ0pv9+Akc7a4Y3qmBiWsnOPg79mCPXjmTomJXdK/N67dcf6Nq0tDQ2btxInz597n7sxIkT+Pv7ExsbS3x8PCEhIXdf27JlC/7+/gC0b9+eUaNG/Wm8jz76iFq1alG/fn2GDx/O2rVrsbL65/UAJ0+e5OTJk5QvX55x48bRsGFD5syZw40bN6hdu/bdRzu2b99OeHg47u7unD59+u79d1Zs7N+/nyNHjtCkSROOHj3KtGnTcHR0JDw8nPDwcKpXr/63uQ8ePMi4ceMIDg7Gw8ODa9ce/8h1lQ8iYorrt5LpNiuUyJhEFvSpjU/xv7+JXBKxhLOxZ5naaCo2Vvpyld3ZWtlSr1g96hWrx9t13mb7pe2sP7Wen8/8zPfHv8fFzoXCjoVxtnXG2c757n9dbF3u/jqfTT4irkcQcimE4zeOA+Bs60xNr5q8WPlFahepTfn85bWng0g2E1gkkMAigcQlx7Enag8hl0IIuRTCl3u/BMDRxpEahWtQ26s2LnYuxKXEEZscS1xKHHHJcXf/G5sSS1xyHOdiz2FgULFARYYFDKNp6aaUci1l8mcpD6N+sfoEegUyfd90WpRrgaud693XLBYL77WqRkJKGp//chRHO2v61i9rYlqRP0tISMDf35/Tp09To0YNnnnmmbuv3XnsAmDJkiX079+f9evXA7cfu1izZs0/juvo6MjMmTNp0KABEyZMoFy5cve8bsmSJWzduhV7e3tmzJiBu7s7P//8M6tWrWL8+PHA7VUNZ8/e/sHMM888g7u7+9/G2bp1K8OGDQOgcuXKlCpViqNHj7J582aGDx8OgK+vL76+vn+799dff6Vdu3Z4eHgA3HP8h6Xv5kUky91MTKH7nFBORd/i6561qFn671/MYpJimB4+naAiQTxR7AkTUsrjsLW2pUHxBjQo3oCktCSCLwSz5cIWrideJy4ljuuJ1zkXe47Y5Fhupdz60xJtB2sHAjwDeL7s8wR6BVKlYBWVTyI5hLOd891/+wDXE6+zM3InoZGhhFwKYcuFLXevtWDBydbp/8tIW2fcHdwp5VKK5uWa07RUU8rm1xvSnMpisfBardfosLoDs8JnMaLmiD+9bmVl4ZMXfElKSef9Hw/jYGtN1zoqmOTPHnSFQka7s+dDTEwMzZs3Z8qUKXffrP9Ry5Yt6dWr10ONvX//fgoWLMjFixf/8ZqOHTsyefLkP33MMAyWL19OpUp/3t8mJCQEJ6d7P5p8v8ea/u1xNcMwMvyRNn03JyJZ6lZSKr2+3smRyJvM6FaDeuU97nndzPCZ3Ey6yas1X9WzvDmcvbU9DUs2pGHJhv94TXJaMnEpcdxKuUVhx8I6Ik8klyjgUIAmpZvQpHQTAK4mXCU1PRVnW2ccbR21iimXq+xemRblWrDw8EI6Vu5IMedif3rdxtqKCR39SUhJ478rD5DP1poXauiRGsk+3NzcmDRpEq1atWLQoEF/e33r1q3/uHrhXs6cOcNnn33G3r17ee6552jdujWBgYEPdG/Tpk358ssv+fLLL7FYLOzdu5eAgID73tOgQQO++eYbGjZsyNGjRzl79iyVKlW6+/Gnn36aAwcOEB4e/rd7GzVqRJs2bXjllVcoWLAg165de+zVD/qKLyJZJjEljX7zd7H37HUmdgqgYeXC97zuXOw5Fh1ZRKvyrbR7eR5hZ22Hu4M7JVxKqHgQycU88nng5eSFs52zioc8YljAMKwt1kzcM/Ger9vZWDG1S3XqlS/If5btY+3+S1mcUOT+AgIC8PPzY/HixcD/7/ng5+fHW2+9xaxZsx5oHMMw6NOnD+PHj6do0aLMnj2bvn37kpj4YCcFjR49mpSUFHx9falWrRqjR4/+13sGDx5MWloaPj4+dOzYkblz52Jvb8+gQYOIi4vD19eXTz75hNq1a//tXm9vb0aNGsWTTz6Jn58fI0aMuMcMD8eS03aYrVmzpnHnDFIRyTmSU9MZuHA3v0VE8Vl7P9pW/+efbLz2+2tsPr+Z1a1XU9jp3gWFiIiI5Axf7v2Sr8K/YtFzi/Ap5HPPa+KTU+k+O5Swczf4qnuNf/wBheR+hw8fpkqVKmbHkAdwrz8ri8Wy2zCMmve6XpWziGS61LR0Xl6yl1+PRPF+62r3LR7CosL46fRP9PDuoeJBREQkF+hdrTcFHQoyftf4f3wG3dHOhjm9alG1qCsDF+4h+PjVLE4pIplN5YOIZKq0dIP/LAtn7f5I/vt8FboE/vNmUoZhMH7XeDzyedDL++E27xEREZHsycnWiSEBQ9gTtYeNZzf+43WuDrbM61WbMgWd6DtvFztPP/7RfiKSfah8EJFMk55uMOr7/Xy/9wKvNan4r8do/XLmF/Zd2cdQ/6E42jpmUUoRERHJbG3Kt6GcWzkm7J5ASlrKP15XwMmOhX0DKZLfgV5f72Tv2etZmFJEMpPKBxHJFIZhMGb1QRbvPMewhuUZ2rDCfa9PSUthwu4JlM9fntblW2dRShEREckKNlY2jKg5grOxZ1kSseS+1xZysWdR3zq4O9nRY04oBy7EZFFKyS5y2r6EedGj/BmpfBCRDGcYBh+sPcz87Wfo36AsI56p+K/3rDi2gvNx5xlRYwTWVtZZkFJERESyUv1i9Qn0CmTm/pnEp8Tf91ovNwcW9QvExcGWbrNDiIiMzaKUYjYHBweio6NVQGRjhmEQHR2Ng4PDQ92n0y5EJMN99nMEX/56nB5BpRjT0huLxXLf6xNTE3l+xfMUcynGvGbz/vV6ERERyZnCosLotq4bL1V/ib4+ff/1+jPRt+gwYztp6QaL+wdR3tM5C1KKmVJSUjh//vwDH0Ep5nBwcKB48eLY2tr+6eP3O+3CJkuSiUieMfnXY3z563E61SrBOy3+vXgAWHp0KVEJUXzU4CMVDyIiIrmYv6c/DYo34OsDX9OxUkdc7Fzue32pgk5807cOnb7aTpdZO/huQBClCjplUVoxg62tLWXKlDE7hmQCPXYhIhlm5uaTjP/5KG0DijGujQ9WVv9eJMSnxDNr/ywCiwRSy6tWFqQUERERMw3xH8LN5JssOLTgga4v7+nMN33rkJyaTueZIZy/fv9HNkQke1L5ICIZYv7204xbe5jnfYvwSTtfrB+geABYdGQR1xKvMdR/aOYGFBERkWyhasGqNC7ZmPmH5nMj8cYD3VPJy4UFfQKJTUyhy6wQImO0JF8kp1H5ICKPbXHoWd7+4SDPVC3MFx39sbF+sC8tscmxfH3ga+oXq4+/p38mpxQREZHsYrD/YOJT4pl7cO4D31OtmBvzetcmOi6ZzrN2cCU2KfMCikiGU/kgIo9lxZ7zvPn9fp6sWIjJnQOwfcDiAWDhoYXcTL7JkIAhmZhQREREspsKBSrwbJlnWXRkEVcTrj7wfQElCzCnZy0u3Uik66wQrt1KzsSUIpKRVD6IyCP7IewCry3dR1DZgszoVgN7mwc/IvNG4g3mH5pP45KN8S7onYkpRUREJDsa5DeIpLQk5hyY81D31S7jzuweNTkdfYuus0K4Ea8CQiQnUPkgIo/kx/BLjPhuH7VKuzOrR00cbB+8eACYe3Aut1JuMdh/cCYlFBERkeystFtpWpZryZIjS7h86/JD3Vu3vAczu9fk+JU4us4OISY+JZNSikhGUfkgIg9t/YFIhi/eS/WS+ZnTsxaOdg93am90QjSLjiyiWZlmVChQIZNSioiISHY30G8g6aQzc//Mh763QcVCzOhag6ORcXSfE8LNRBUQItmZygcReSgbDl1m2Ld78C3uxte9auNk/3DFA8DsA7NJSktisJ9WPYiIiORlxZyL0bZ8W5YfW86FuAsPff/TlT2Z2qU6By/epOecUOKSUjMhpYhkBJUPIvLAfouIYvA3e6haxJV5vWvj/AjFw+Vbl1lyZAkty7WktFvpjA8pIiIiOUo/335YYcWMfTMe6f7GVQszuXMA+87H0OvrUG6pgBDJllQ+iMgD2Xz0CgMWToNu2wAAIABJREFU7KailzPzewfi6mD7SOPM3D+TdCOdAb4DMjihiIiI5EReTl50qNSBVSdWcebmmUcao1m1Ikzs5M/uM9fpM28nCclpGZxSRB6XygcR+Vfbjl+l3/xdlCvkzILegbg5PlrxcCHuAsuPLadthbYUdymewSlFREQkp+rj0wc7azum7Zv2yGM09y3KhI7+hJ66Rt/5O0lMUQEhkp2ofBCR+9pxMpre83ZSuqAT3/QNpICT3SOPNWPfDKywop9vvwxMKCIiIjmdRz4PXqz8ImtPruX49eOPPE4r/2KMb+/HthPR9Ju/SwWESDai8kFE/tGu09foPXcnxQs48k2/QNwfo3g4c/MMq06sokOlDng5eWVgShEREckNenn3wtHWkan7pj7WOG2rF+fjtr5sOXaVQQt3k5SqAkIkO1D5ICL3tPvMNXrMCcXL1YFFfQPxcLZ/rPGm7ZuGnbUdfXz6ZFBCERERyU3yO+SnW9Vu/HLmFw5HH36ssTrUKsEHbXz4LeIKQ77ZowJCJBtQ+SAif7P7zDW6zw7F09WBb/vXwdPV4bHGO379OGtPruXFyi/ikc8jg1KKiIhIbtOtajdc7VyZEjblscfqHFiS91pXY8PhKBUQItmAygcR+ZM/Fg+L+9eh8GMWD3B71YOjrSO9vHtlQEIRERHJrVztXOnp3ZPfz//O/iv7H3u8bnVKqYAQySZUPojIXbcftdiZocVDxLUIfj7zM12qdCG/Q/4MSCkiIiK5Wecqnclvn58p+x5/9QP8vYBITk3PkHFF5OGofBARAHafuU6POTsp5GLPt/0ypniA26senG2d6V61e4aMJyIiIrmbk60Tvar1IvhCMGFRYRkyZrc6pXivlTcbDkcx+JvdKiBETKDyQUT+VzyE3i0evNwypng4HH2YjWc30r1qd9zs3TJkTBEREcn9OlXqhLuDe4bs/XBHt6DSfyggtAJCJKupfBDJ4+4UDx7OdhlaPABM3TcVFzsXulbtmmFjioiISO7naOtI72q92XFpB7sv786wcbsFlWZsK282HL6sAkIki6l8EMnD9pz9/+Jhcf+gDC0eDl49yKZzm+jp3RMXO5cMG1dERETyhg6VOuCRz4OpYVMzdNzufygghixSASGSVVQ+iORRe85ep/vs/6146J+xKx4ApoRNwc3ejc6VO2fouCIiIpI35LPJR1+fvoRGhhJ6KTRDx75TQPxySAWESFZR+SCSB905TvNO8VDELV+Gjr/vyj62XNhCT++eONs5Z+jYIiIikne0q9gOz3yeTAmbgmEYGTr2HwuIwTqGUyTTqXwQyWNCT90uHgq52GdK8QAwLWwaBewLaNWDiIiIPBZ7a3v6+vZlT9QedlzakeHjd7+7CeVlBi7YTWKKCgiRzKLyQSQP2X4imh5zQvFyc2BxJhUPe6P2EnwxmN7VeuNo65jh44uIiEje8kKFFyjsWDhTVj/A7U0oP2jjw28RV+ivAkIk06h8EMkjgo9fpdfcUIoXyMfi/kEUds3YPR7umBI2BXcHdzpU6pAp44uIiEjeYmdtR3/f/uy7so9tF7dlyhydA0vyyQu+bDl2hb7zdpGQrAJCJKOpfBDJA34/eoXec3dSuqAT3/avQyEX+0yZZ1fkLkIuhdCnWh+tehAREZEM06Z8G4o6Fc201Q8AHWqVYHw7P4JPXKX33J3EJ6dmyjwieZXKB5Fc7rcjUfSbt4tyhZxZ1K8OHs6ZUzwATN03FY98Hlr1ICIiIhnK1tqWAX4D2H91P1subMm0eV6oUZwvOvoTciqannN2EpekAkIko6h8EMnFNhy6TP8Fu6jo5cyifoG4O9ll2lyhl0LZGbmTvj59cbDJnEc6REREJO9qUa4FxZ2LM3nv5Exb/QDQyr8YEzsFsPvsdXrMCSU2MSXT5hLJS1Q+iORS6w9EMnDhbqoWceWbPnXI75h5xYNhGEwJm4KnoyftKrbLtHlEREQk77K1ur364fC1w/x27rdMnauFX1EmvxjAvnM36DY7lJgEFRAij0vlg0gu9GP4JYYs2oNvcTcW9A3EzdE2U+fbfmk7e6L20M+nH/bWmfdYh4iIiORtzcs2p6RLSaaGTSXdSM/UuZ71KcLULtU5eDGGbrNDuBGfnKnzieR2Kh9Ecpkfwi4wfPFeqpfMz/w+gbg6ZG7xcGfVg5eTF20rtM3UuURERCRvs7GyYaDfQCKuR7Dx7MZMn6+JtxfTu9bgyKVYOs8MITouKdPnFMmtVD6I5CKLQ8/y8pIwapUuwNxetXG2t8n0OYMvBhN+JZz+vv2xs868RztEREREAJ4r8xylXUtnyeoHgEZVCvNV9xqcuBJHp692EHUzMdPnFMmNVD6I5BJzg0/xxor9NKhQiLm9auOUBcVDupHOpD2TKOZcjNblWmf6fCIiIiLWVtYM9h/M8RvHWXdqXZbM+VQlT+b2qs2FGwl0mLGdCzcSsmRekdxE5YNILjBt0wnGrD5Ek6q3m3kHW+ssmXfDmQ0cvnaYwf6DsbXO3Mc7RERERO5oWroplQpUYkrYFFLSs2YzyKByBVnQJ5DouGQ6TN/OmehbWTKvSG6h8kEkBzMMg89/OcrH64/Qwq8oU7pUx94ma4qH1PRUvtz7JeXzl+f5Ms9nyZwiIiIiAFYWK4ZXH8652HN8f+z7LJu3RqkCLOpXh1vJqXSYsZ3jUXFZNrdITqfyQSSHMgyDD9cdYdLGY7SvUZwvOvpja511/6RXn1jN6ZunGRowFGurrCk8RERERO6oX6w+AZ4BzNg3g8TUrNuHwae4G0v6B5GWDh1nbOfwpZtZNrdITqbyQSQHSk83ePuHg3y1+STdg0rx8Qu+WFtZsmz+pLQkpu6bio+HDw1LNMyyeUVERETusFgsDA8YTlRCFN8e+TZL567k5cKSAXWwtbai01c7CD9/I0vnF8mJMrV8sFgszSwWS4TFYjlusVjeuM917SwWi2GxWGpmZh6R3CAt3eD15eEs2HGG/g3K8m5Lb6yysHgA+C7iOyJvRTK8+nAslqydW0REROSOml41qVesHrMPzCY2OTZL5y5XyJmlA4NwcbChy8wQdp2+lqXzi+Q0mVY+WCwWa2AK8CxQFXjRYrFUvcd1LsBwICSzsojkFilp6by8JIylu8/zUqMKvPls5Sx/838r5RYzw2cSWCSQOkXqZOncIiIiIn/1UsBLxCTFMPfg3Cyfu4S7I0sHBlHIxZ5us0PZdvxqlmcQySkyc+VDbeC4YRgnDcNIBhYDre5x3XvAJ4AOzBW5j8SUNAZ/s4fV+y7yerPKvPJMRVNWHSw4tIDrSdd5KeClLJ9bRERE5K+qFKxC09JNWXBoAdEJ0Vk+fxG3fCwZEERJd0d6zt3JhkOXszyDSE6QmeVDMeDcH359/n8fu8tisQQAJQzDWHO/gSwWS3+LxbLLYrHsunLlSsYnFcnm4pJS6T13J78cuszYVt4MeqqcKTluJN5g3sF5NCrZCJ9CPqZkEBEREfmrIf5DSE5LZtb+WabMX8jFnsX961DFy4UBC3fzQ9gFU3KIZGeZWT7c60eyxt0XLRYrYALw6r8NZBjGV4Zh1DQMo2ahQoUyMKJI9ncjPpkus0IIOXWNCR396B5U2rQssw/MJj41nmEBw0zLICIiIvJXZdzK0Kp8K5ZELOFi3EVTMhRwsuObfnWoVboALy8JY8GOM6bkEMmuMrN8OA+U+MOviwN//ErgAlQDNlksltNAHWCVNp0U+X9RNxPpOGMHhy/eZFqX6rQJKG5alsu3LvPtkW9pXrY55fKbs/JCRERE5J8M8huEBQvT9k0zLYOzvQ1ze9WmUWVPRq88wJTfjpuWRSS7yczyYSdQwWKxlLFYLHZAJ2DVnRcNw4gxDMPDMIzShmGUBnYALQ3D2JWJmURyjHPX4mk3fTvnrsfzda9aNPH2MjXP9PDppBlpDPYfbGoOERERkXvxcvKiY+WOrDqxipM3TpqWw8HWmmlda9DKvyif/hTBR+uOYBjGv98okstlWvlgGEYqMBT4CTgMfGcYxkGLxTLWYrG0zKx5RXKDY5djaTd9GzEJKXzTN5B65T1MzXPm5hm+P/Y97Su2p5hzsX+/QURERMQEfX364mDtwOSwyabmsLW2YkIHf7rWKcn0308wauUB0tJVQEjeZpOZgxuGsRZY+5ePvf0P1z6VmVlEcorw8zfoMScUG2srvhsQRCUvF7MjMSVsCnbWdvT37W92FBEREZF/5O7gTnfv7kzfN52DVw/i7eFtWhYrKwvvtaqGq4MtUzedIDYxlc87+GFrnZmLz0WyL/3NF8lGdpyMpvPMEJzsbVg2MHsUDxHXIlh3ah1dq3TFI5+5KzBERERE/k2Pqj3Ib5+fSXsnmR0Fi8XCyGaVeb1ZZVbvu8iABbtJTEkzO5aIKVQ+iGQTGw9fpsecULzcHFg2sC6lCjqZHQmASXsn4WrnSs9qPc2OIiIiIvKvnO2c6evTl20Xt7EzcqfZcQAY9FQ5xrWpxm8RUXSfE8rNxBSzI4lkOZUPItnA8t3n6b9gNxULu/DdgCC83BzMjgTA3qi9bD6/md7VeuNq52p2HBEREZEH0rFSRzwdPflizxfZZrPHLoGl+KKjP3vOXKfTjB1ciU0yO5JIllL5IGKyrzaf4NWl+6hT1p1v+9fB3cnO7EgAGIbBF7u/wCOfB52rdDY7joiIiMgDc7BxYJDfIMKvhPPruV/NjnNXK/9izOpRk1NXb9Fu+jbORsebHUkky6h8EDGJYRh8uPYwH6w9wvO+RZjTsxbO9pm6B+xD+fnMz+yJ2sMQ/yHks8lndhwRERGRh9KqfCvKupXls12fkZyWbHacu56q5MmifoHEJKTQdto2Dl6MMTuSSJZQ+SBigpS0dF5bGs6MzSfpVqcUkzoFYG9jbXasuxJTE/l81+dUKlCJNuXbmB1HRERE5KHZWtkystZIzsWeY9HhRWbH+ZOAkgVYNjAIW2sLnWbsYPuJaLMjiWQ6lQ8iWSwhOY2BC3azfM95Xm5cgbGtvLG2spgd608WHFrAxVsXGVlrJNZW2acUEREREXkY9YrVo36x+swIn0F0QvZ6g1/e04Xlg+pS2M2BHl+Hsv5ApNmRRDKVygeRLBQTn0K32SH8GhHF+62r8XLjilgs2at4uBJ/hZn7Z9KoZCNqF6ltdhwRERGRx/JarddITE1kStgUs6P8TdH8+Vg6IAjvoq4M/mY3i0PPmh1JJNOofBDJIpExibSfsY3w8zFM6VydrnVKmR3pnibumUhqeiqv1njV7CgiIiIij62sW1k6Ve7E8mPLibgWYXacvyngZMc3fQOpX6EQb6zYz+Rfj2WbEzpEMpLKB5EscOJKHC9M28aF6wnM7VWL53yKmB3png5GH+SHEz/QtWpXSriWMDuOiIiISIYY6DcQFzsXPtn5SbZ8Y+9oZ8OsHjVp7V+U8T8f5d3Vh0hPz345RR6HygeRTLbn7HXaTdtGYkoai/sHUbe8h9mR7skwDD4J/QR3B3f6+/Q3O46IiIhIhnGzd2Ow32BCI0P57dxvZse5J1trKz7v4E+fJ8owd9tphi3eS1JqmtmxRDKMygeRTPTzwUg6z9yBaz5blg2qi09xN7Mj/aM7R2sOCxiGs52z2XFEREREMlSHSh0o51aO8bvGZ6ujN//IysrCf5+vwhvPVubH8Et0nx1KTHyK2bFEMoTKB5FMsmDHGQYu3E2lwrd3Mi7j4WR2pH+kozVFREQkt7OxsuE/tf6TLY/e/COLxcLAJ8sxsZP/7RW007dx4UaC2bFEHpvKB5EMZhgGH68/wuiVB3i6kiff9q+Dh7O92bHuS0drioiISF5Qr1g9GhRvkC2P3vyrVv7FmNe7NpExibSdGsyhizfNjiTyWFQ+iGSg5NR0Rny3j2mbTvBi7ZLM6FYDRzsbs2Pdl47WFBERkbzk1ZqvZtujN/+qbjkPlg4KwoKFDjO2E3z8qtmRRB6ZygeRDHIzMYVec0P5fu8FXmtSkQ/aVMPGOvv/E9PRmiIiIpKXZPejN/+qspcrKwbXpWh+B3p+Hcr3e8+bHUnkkWT/d0YiOUBkTCIdpm8n5OQ1xrf3Y2jDClgsFrNj/SsdrSkiIiJ5UXY/evOviubPx9KBdalRqgCvLNnH1E3Hc0RukT9S+SDymI5ejqXt1GDOXYtnTs9atKtR3OxID0RHa4qIiEhe5WbvxhD/Idn66M2/cstny7zetWnhV5RP1kcw+ocDpKWrgJCcQ+WDyGPYdvwq7aZtIyXdYMmAIBpULGR2pAf205mf2BO1h+EBw3W0poiIiOQ57Su2z/ZHb/6VvY01Ezv6M6BBWRbuOMuABbu4lZRqdiyRB6LyQeQRfbfrHN3nhFLY1YEVg+pSrZib2ZEeWHxKPBN2TaBSgUq0Lt/a7DgiIiIiWc7GyoaRtUZyLvYcCw4tMDvOA7OysvDmc1V4t6U3vx6JouNX27l8M9HsWCL/SuWDyENKTzf49KcjjFwWTp2yBVk2qC4l3B3NjvVQpoRN4eKti7wZ+KaO1hQREZE8q26xujQs0ZBp+6Zx9uZZs+M8lB51SzOrR01OXrlF6yk6ilOyP5UPIg8hMSWN4Yv3MuW3E3SqVYKve9XCLZ+t2bEeyoGrB1h4eCEdKnagRuEaZscRERERMdVbgW9ha2XL2O1jc9wmjg0rF2bpwCAMA9pP38ZvR6LMjiTyj1Q+iDyg6LgkOs/cwZrwS7zxbGU+bOuDbQ44SvOPUtJSeHvb23jk8+CVGq+YHUdERETEdIWdCjOi5ghCIkP4/vj3Zsd5aN5F3Vg5pB6lPZzoM28nC7afNjuSyD3lrHdOIiY5HhVHm6nbOHjxJtO6VGfgk+VyxFGafzXnwByOXT/G6DqjtcmkiIiIyP+8UOEFahauyfid47kSf8XsOA/Ny82B7wYE8XQlT0b/cJCxqw/pJAzJdlQ+iPyLbcev0nZqMPHJqSzuX4dnfYqYHemRnLxxkhnhM2hWuhlPlXjK7DgiIiIi2YaVxYoxdceQlJbEByEfmB3nkTjZ2/BV95r0rFuaOcGnGLBgt07CkGxF5YPIffzxRIvvB9cjoGQBsyM9knQjnTHbx5DPJh+v137d7DgiIiIi2U4p11IM8h/EhrMb2HBmg9lxHom1lYUxLb3/dxLGZZ2EIdmKygeRe0hPN/h4fc4+0eKPvov4jr1RexlZayQe+TzMjiMiIiKSLfXw7kFl98qMCxnHzeSce3rEnZMwTl25RavJwRy4EGN2JBGVDyJ/FZeUSv8Fu5i26QSdA0vmyBMt/ijyViQTdk+gbtG6tCzX0uw4IiIiItmWrZUt79Z9l+uJ1/l81+dmx3kst0/CqIuVBdpN38aP4ZfMjiR5nMoHkT84dy2eF6Zu47eIK4xt5c241tVy3IkWf2QYBu/teA8Dg7eD3s6Rm2SKiIiIZKWqBavS3bs7y48tJ/RSqNlxHkvVoq78MPQJvIu6MWTRHib8cpR0bUQpJsm576pEMljIyWhaTt7KpZgE5vWqTfeg0jn+zfq6U+vYfH4zwwKGUcy5mNlxRERERHKEwX6DKeFSgjHbx5CQmmB2nMdSyMWeRf0CaVejOBM3HmPot3uIT9ZGlJL1VD6IAItDz9JlVggFnOz4YegTPFEh5++LcD3xOh+FfoSPhw+dK3c2O46IiIhIjuFg48CYoDGciz3HtLBpZsd5bPY21nzazpdRz1Vh3YFI2k/fzsUbObtUkZxH5YPkaalp6by7+iBvrNhP3fIefD+4HmU8nMyOlSE+2fkJscmxjKk7Bmsra7PjiIiIiOQotYvU5oUKLzDv0DwORh80O85js1gs9GtQljk9anEmOp6Wk4PZc/a62bEkD1H5IHlWTEIKvebu5Ovg0/SuV4Y5PWrm6I0l/2jrha2sObmGPj59qFigotlxRERERHKkETVHUNChIO8Ev0NKeorZcTLE05U9+X5wXZzsren01Q5W7DlvdiTJI1Q+SJ508kocbaYEs+NkNB+/4MPbLapik4M3lvyjWym3GLt9LGXdytLft7/ZcURERERyLFc7V0YFjiLiegRzD8w1O06GqVDYhZWD61GjZAFGfLePD9cdJk0bUUomyx3vtkQewsbDl2k1OZgbCSl807cOHWuVNDtShjEMg3e3v8vl+Mu8W/dd7KztzI4kIiIikqM1KtWIJqWaMDVsKuFXws2Ok2EKONkxv09tugSWZMbvJ+k9dycx8bljdYdkTyofJM9ITzeYtPEYfefvopSHI6uG1qN2GXezY2Wo5ceWs+7UOgb7Dcbf09/sOCIiIiK5wttBb+Pp6Ml/fv8PMUkxZsfJMLbWVoxr48MHbXzYduIqLadsJSIy1uxYkkupfJA8ITYxhQELd/P5L0dp41+MZQPrUryAo9mxMlTEtQg+DPmQoCJB9PXpa3YcERERkVzDzd6N8U+OJyohiv8G/xfDyF2PKHQOLMni/kEkJKfRZmowP4ZfMjuS5EIqHyTXOx4VR+spwfx6JIp3WlTlsw5+ONjmrtMfbqXc4rXfX8PN3o0P63+o0y1EREREMphPIR9G1BjBpnObWHBogdlxMlyNUgVYM+wJqhRxZciiPXy07oj2gZAMpfJBcrVfDl2m9ZRgbsSn8E3fQHrVK4PFYjE7VoYyDIOx28dyNvYsHzf4mIL5CpodSURERCRX6lqlK0+XeJoJeyaw/8p+s+NkOE9XB77tV4cugSWZ/vsJen4dyo34ZLNjSS6h8kFypfR0gy82HKXf/F2ULeTE6mFPUKds7nxTvuLYCtaeWstgv8HU8qpldhwRERGRXMtisfBevffwzOfJa7+/lqv2f7jDzub2PhAftfUh5OQ1WkzeyuFLN82OJbmAygfJdW4mptB/wS6+2HCMF6oX57sBQRTNn8/sWJki4loEH4ZqnwcRERGRrPLH/R9GB4/Odfs/3NGpdkmWDKhDcmo6baduY9W+i2ZHkhxO5YPkKkcib9J6cjCbIq4wtpU349v75rr9He64s8+Dq52r9nkQERERyUJ39n/47dxvLDy80Ow4mSagZAFWD3sC76KuDP92L2NXHyIlLd3sWJJDqXyQXGP57vO0nhJMXFIqi/rVoXtQ6Vy3v8Md2udBRERExFx39n/4fPfnuXL/hzs8XRxY1K8OPeuWZk7wKTp9tYPImESzY0kOpPJBcrzElDTeXBHOq0v3EVCiAGuGP0HtMu5mx8pU2udBRERExFx5Yf+HO+xsrBjT0psvXwzgyKWbPD9pC1uPXTU7luQwKh8kRzsbHc8L07bxbeg5hjxdjgV9auPp4mB2rEylfR5EREREsgc3ezc+ffJTouJz9/4Pd7TwK8oPQ5+goLMd3eaEMGnjMdJ1HKc8IJUPkmP9cugyzb/cwrlr8czuUZP/NK2MjXXu/iutfR5EREREshffQr68UuOVXL//wx3lPZ1ZOaQerfyK8vkvR+k9byfXb+k4Tvl3ufudmuRKqWnpfLTuCP3m76JUQSd+HF6fRlUKmx0r06Wmp/L65te1z4OIiIhINtOtarfb+z/s+pytF7aaHSfTOdrZMKGjP++3rsa249E0/3IrYedumB1LsjmVD5KjRMUm0mVWCNN/P0GXwJIsHRhECXdHs2NlOsMweG/He/x+/nfeqv2W9nkQERERyUYsFgsfPPEB5QuUZ8SmERy4esDsSJnOYrHQtU4plg0KAqD99G3M33461z96Io9O5YPkGFuPXeW5iVsJPx/D5x38GNfGJ9ceo/lXU8KmsOLYCgb4DqBj5Y5mxxERERGRv3C2c2Za42m4O7gzZOMQztw8Y3akLOFbPD8/Dn+C+hUK8fYPBxn67V5uJqaYHUuyIZUPku2lpqXz6U9H6DYnhPyOtqwcUo+21YubHSvLLDmyhBnhM2hboS1D/IeYHUdERERE/oFHPg+mN56OYRgM+GUAVxPyxokQ+R3tmNW9JiObVWL9gUien7RFj2HI36h8kGztwo0EOn61gym/naBDjRKsGlqPSl4uZsfKMhvObGBcyDieKv4Uo+uMxmKxmB1JRERERO6jtFtppjSawrXEawzeMJi45DizI2UJKysLg58qz3cD6pCeDu2mbWPm5pM6DUPuUvkg2dZPByN5buIWIiJjmdjJn4/b+eJoZ2N2rCyzK3IXr29+Hd9Cvnzy5CfYWOWdz11EREQkJ/Mp5MNnT37G0etHeXnTy6Sk5Z3HEGqUcmft8Po0quLJuLWH6TNvJ9FxSWbHkmxA5YNkO4kpabzzwwEGLNhNSXdH1gx7glb+xcyOlaWOXj/K8F+HU8ylGJMbTiafTT6zI4mIiIjIQ6hfvD7v1n2XkEshjAoeRbqRbnakLOPmaMv0rjV4r5U3wSeieXbiFradyBuPoMg/U/kg2crJK3G0nbqNedvP0OeJMiwfVJfSHk5mx8pSl+IuMWjDIPLZ5GN64+nkd8hvdiQREREReQStyrfipeovse7UOj7b9ZnZcbKUxWKhW1Bpvh9cF2cHG7rMCuHzX46SmpZ3Shj5M63jlmxjxZ7z/HflAextrJjdoyaNqhQ2O1KWi0mKYeCGgSSkJDD32bkUdS5qdiQREREReQx9qvXhasJV5h+aj6ejJz28e5gdKUt5F3Vj9dAneGfVQSZtPMaOk9FM7ORPETet7M1rtPJBTBeTkMLwb/cy4rt9VCvmxtqX6ufJ4iExNZGhG4dyPvY8ExtOpGKBimZHEhEREZHHZLFYGFlrJE1LN2X8rvGsObnG7EhZzsnehvHt/ZjQ0Y8DF2Jo9sUW1u6/ZHYsyWJa+SCm2nEymhFLwrgcm8SIZyoy+Kly2FjnvU4sPiWeEZtGsO/KPj576jNqedUyO5KIiIiIZBArixUfPPEB1xKvMXrraGysbGhWupnZsbJcm4Di+JcowMuL9zL4mz20q1Gcd1pUxcXB1uxokgXy3rs8yRaSU9P5aN0RXpy5A3tba5YPqsvwRhXiGQcFAAAeJklEQVTyZPFwLfEafX7qw45LO3i37rs8U+oZsyOJiIiISAazs7Zj4tMT8S3ky8jfR/LN4W/MjmSKMh5OLBtUl+ENy7Niz3mem7SFXaevmR1LskDee6cnpjseFUvrKcFM//0EnWqVYM2wJ/AvkTc3VTwXe45ua7tx/MZxJj49kTYV2pgdSUREREQyiYudCzOemUHDkg35KPQjvtj9BYZhmB0ry9laWzGiSSW+GxAEQIcZ2/ns5whStBllrmbJaX/Za9asaezatcvsGPIIDMNgwY4zjPvxME72NnzU1ocm3l5mxzLN4ejDDNowiFQjlckNJ+Pv6W92JBERERHJAmnpaYwLGcfSo0tpWa4lY+qOwdYqbz56EJuYwrurD7Fs93n8SuTni47+lMljp93lJhaLZbdhGDXv+ZrKB8kKUbGJjFwWzqaIKzxVqRCftPPF08XB7Fim2XFpBy//9vLt9rvxDMrmL2t2JBERERHJQoZhMD18OlPDplK/WH3GPzkeR1tHs2OZZu3+S7y5Yj/Jqem83aIqnWqVwGKxmB1LHpLKBzHV+gORvPX9fm4lpTLq+Sp0q1MqT38hWXdqHW9tfYvSrqWZ3ng6hZ3y3skeIiIiInLbsqPLeG/He3gX9GZKoykUcChgdiTTRMYk8urSMIKPR9O4SmE+bOtDIRd7s2PJQ1D5IKa4EZ/MmFUHWRl2Ee+irnzR0Z8KhV3MjmWqhYcW8vHOj6lRuAaTGk7C1c7V7EgiIiIiYrJfz/7KyM0jKeJUhOnPTKeYczGzI5kmPd1gTvApPvkpAic7a95rXY3mvkXNjiUPSOWDZLmNhy/zxor9XL+VzLCGFRj8dDls8+BJFncYhsGEPRP4+sDXNC7ZmI8afIS9tVpcEREREbltb9Rehm4cip21HdMbT6eSeyWzI5nqeFQsr363j33nY3jepwhjW3lT0FnfP2d39ysf8u67QckUMQkpvPrdPvrM20VBJztWDqnHS40r5OniIT4lnje3vsnXB76mQ8UOjH9yvIoHEREREfmTAM8A5jWbh7XFmp7re7L5/GazI5mqvKcLywfV5T9NK/HzoUiaTNjM+gOXzI4lj0ErHyTDbIqI4o3l+7kSl8Tgp8oxrGEF7GzybukAsP/Kft7Y8gbnYs8xNGAo/Xz65en9LkRERETk/iJvRTJ041AirkfQqVInXq35Kg42eXejdoAjkTd5bek+Dly4SSv/orzb0pv8jnZmx5J70GMXkqliE1P4YO1hvg09RwVPZ8a398OvRH6zY5kqLT2NWftnMW3fNDwdPfngiQ+o6XXPf4MiIiIiIn+SlJbExD0TWXBoAWXdyvJxg4+p7F7Z7FimSklLZ+pvJ/jy12MUcLLjwzY+NK6qjduzG5UPkmm2HrvK68vDuRSTQP8G5Xi5cQUcbK3NjmWq87HneWvrW+yN2stzZZ5jVJ1R2lhSRERERB7atovb+O/W/3I96TovBbxEd+/uWFny9srigxdjePW7fRyJjOWF6sV5u3lV3BxtzY4l/6PyQTLcjfhk3v/xMMt2n6eshxOftvejRqm8eywQ3N5Ucs3JNYwLGYcFC6PqjKJ52eZmxxIRERGRHOxG4g3GbB/DxrMbCfQK5P0n3sfLycvsWKZKTk1n8q/HmLLpBAUc7Xi3pTfP+Xjp8eZsQOWDZBjDMPhx/yXGrDrIjfgUBjxZlmENtdrhZvJN3t/+PutOr6O6Z3U+qP9Bnj4iSUREREQyjmEYfH/8ez4K/QhbK1veDnqbpqWbmh3LdAcvxvD68nAOXLjJM1UL816rani55e39Mcym8kEyxKWYBEavPMCGw1H4Fnfjo7a+VC2qxwl2Ru7kra1vcTX+KoP9B9O7Wm+srfJ2GSMiIiIiGe/MzTO8ueVN9l/dT6tyrXij9hs42zmbHctUqWnpzAk+xee/HMXWyoo3nqvMi7VKYmWlVRBmMK18sFgszYCJgDUwyzCMj/7y+gigL5AKXAF6G4Zx5n5jqnzIeunpBt+EnuXjdUdITU/ntSaV6Fm3NDZ5+PhMgHM3z/Hl3i9Zd3odpVxL8VH9j6jmUc3sWCIiIiKSi6WkpzB933Rm7Z+Fu4M7g/wG0aZCG2yt8va+B2eib/HW9/sJPh5N7dLufPiCD+UK5e1ixgymlA8Wi8UaOAo8A5wHdgIvGoZx6A/XPA2EGIYRb7FYBgFPGYbR8X7jqnzIWsej4nhjeTi7zlynfgUPxrX2oWRBR7NjmSo6IZoZ4TNYGrEUGysbulXtRl+fvjja5u3fFxERERHJOuFXwvls12fsidpDKddSDAsYRpNSTfL0vgeGYbB093nG/XiYhJQ0hjcsz4Any2Gbx39ompXMKh+CgDGGYTT936/fBDAM48N/uD4AmGwYRr37javyIWskpaYx4/eTTP71OPnsrBndvCovVC+Wp7+Y3Uq5xbyD85h3cB5JaUm0rdCWgX4D8XT0NDuaiIiIiORBhmHw+/nf+WL3F5yIOUG1gtV4pcYr/F979x4dZX3ncfz9zZUk5EogIdwCkgAKriLEgBdcRVHUota22tPWs71Y2+pWt3tqb6ut2rV1V3fX2ovtlj3tbivtqigWVNCq3SpBI6KiIRfuITch9+swM7/9Y8YYIIFwmTzJ5PM6J2fIPL8Zv/F3fs8z83l+z+8pmljkdWmeamjr5gfPvM/ad2qZnZvK/dfN4+ypo3tx/KHiVfhwPXC5c+6L4d8/C5zrnLt1gPaPAHXOufv62XYzcDPA1KlTz9m9+6hXZshJ+mvlfu56eis79ndw1ZkTufvqMxifmuh1WZ45GDjI/1b8L4++8yiN3Y1cOu1Sbjv7NqanT/e6NBERERERAsEAz+x4hkfeeoT6znrOm3Qed8y/g1lZs7wuzVMb3q/nn57aSn1bNzcsnMqdl88iIznB67KimlfhwyeAZYeFD0XOudv6afsZ4FZgiXOu52jvq5kPkVPf2s29f3qfP71TS/64ZO5ZMZcLC8d7XZZnAsEA63ev5+HND1PdXs2CnAXccc4dnDn+TK9LExERERE5Qre/m1XbVvGrd39Fm6+NK2dcyVfP+ipTUqd4XZpn2nv8/McLFax8dRfpSfF864rZXD9/shakjJBhfdmFmS0FfkIoeGg41vsqfDj1/IEgv924m4c2VOALBPnaRTP58pIZo/b2mbXttayuWs3qqtXUddRRmFnI7fNv5/xJ54/qy05EREREZGRo9bWy8t2V/E/Z/+AL+Fg8aTHXF1zPkilLRu3ClNvqWvne6q2U7m5iwbRM7rt2LrNzdee+U82r8CGO0IKTlwD7CC04+Wnn3Ht92pwNPE7o8ozKwbyvwodT683dTXzvqa2U1baypHA896w4g2njUrwua8gdDB7klb2v8Hjl47y27zUAFuct5uOFH+eSqZcQY1qkRkRERERGlvqOeh6vfJzVlaup76wna0wWK2au4LqZ15Gfnu91eUMuGHQ8vrma+9eV0drt5/Pn5fP1pYWMTYzzurSo4eWtNpcD/07oVpsrnXM/NLN7gFLn3BozewGYB9SGX7LHOfexo72nwodTo6nDx4+f28aqN/YyMX0Md199OsvOyB11Z/Z3teziyaonebrqaRq7G8lJzuHagmu5ZuY1TBo7yevyREREREROWiAY4NWaV3mi4gleqX6FgAuwIGcB1xVcx6XTLmVM3BivSxxSTR0+Hnh+G4+9vpfctDHcdfXpXDF39H0XigTPwodIUPhwcgJBx2Ov7+HB9eW0dfv5wvnT+ftLCkgZJWmfc469bXt5reY1nt/1PKX1pcRaLEsmL+HjhR/nvLzziI0ZnZebiIiIiEj029+1n6eqnuLJyifZ27aX1IRUlk9fzoWTL2RBzoJRdfv4zXua+N7qrbxf28oFBdncddXpFOSkel3WiKbwQQDYuP0AP3jmPbbVtXHu9Cx+sOKMUXGdU0tPC5tqN/FazWuU1Jawr30fANPSpnHNzGu4ZuY1ZCdle1yliIiIiMjQCbogpXWlPFH5BC/ueZGeQA9xMXGcNf4sFuctZlHeIuZkzYn6E3P+QJD/Lgmtf9fpC/DZ4mncsbSQ9OTRuTbGyVL4MMrtbezk/mfLWPduHZMykvjulXOielqRL+Dj7Q/eZmPNRkpqS9i6fysOx9j4sRTlFvXuTKekTona/wciIiIiIoPVE+jhrYa3QifrakooaywDID0xnXNzz2VR3iIW5S0iLyUvaj8/H2jv4aENFTz2+h7Sk+L5xmWzuLFoKrG6K8ZxUfgwSnX6/Pz85e08+pcdxJrx1YtO40sXRs9dLJxz1HTUUNlU+dFPcyW7Wnbhd35iLZZ52fN6w4a52XOJixkdl5eIiIiIiJyoA10HemcOb6zdSENn6KaEGYkZFGQWUJBRQEFmATMzZlKQWUBKfPQsWP9eTQv3PPM+m3Y2Mjs3lbuvPoNFp43zuqwRQ+HDKOOcY83bNdy/bht1rd2sOCuPb10xm4npSV6Xdtz8QT/7u/ZT31lPQ2cD9R31bG/ZTmVTJVXNVXQc7Ohtm5eSF9oZZhYwN3suRblFpCbomi0RERERkRPlnGNHyw421W6ioqmi94Rfl7+rt82ksZN6A4kpqVOYkDyBCckTyEnJITU+dcTNlnDO8ezWOn64tox9zV0sn5fLt6+Yw5Ss0bMexolS+DCKvLWnifvWlvHm7ibmTUrn7qtPZ0F+ltdl9ToYPEhrTyttvjZafYc+tvS0hAKGcNDQ0NnAge4DBF3wkPdIS0g7JHEtzCxkZsZMxiaM9eivEhEREREZPYIuyL72fYfMPq5sqmR3624CLnBI26S4pI/CiOQcJiRPYNyYcaQmpJKWmEZaQugnNSGVtIQ0UuJThk1Y0X0wwC//soOfvVxF0MHNF8zgy0tmkDpG60EMROHDKLD7QAcPPFfO2ndryR6byDeXzeL6cyYTcwqvUfIH/bT6WmnpaTnksc3XRsfBjqP+tB9sp83XdkhC2p/UhFRyknN6d0x9d1Q5KaHnMhMzh80OSUREREREQnwB3xEnE/vOYG7obKChqwF/0D/ge8RYDKkJqaTGp5ISn3LMn7SENNIT00lPTO/9d3Jc8in9vlDT3MWPn9vG01tqGJeSwO1LC7ihaCrxsTGn7L8RLRQ+RLHGDh8Pv1jJ7zbtJi4mhpsvnMGXLpzB2OO4dWbnwU7qOuuo66ijvqOe2o7a0L8762nqbqKlp4UWX8shlzj0J87iSI5P7nenkByXfESymZ6Y3ptwfvg42u4xLCIiIiIymgRdkDZfW78zoVt7Wmn1tfb+3nmwkw7/kSc2j3VCM87ier97pCemMz5pPLkpuYf+JOeSnZR9XHfz2LK3mX9eV8brOxuZkZ3CNy+fzbIzcnRitA+FD1Go+2CAla/u5OcvbafD5+dTC6dyx9ICJqT1/+U9EAywp20P5U3lVDRWUNlcSU17DXUddbT6Wo9on52UTW5yLuOSxvUO2rTENNITPnr8MF1MTQilkomxiRp4IiIiIiISUYFggE5/Jx0HOz6akd3TSovvo8cPZ2k39zTT0NlAXUfdEaFFnMUxPjkUTExLm0ZhZiGzMmcxK2sW6Ynp/f63nXO8WNbAj57bRlVDO+dMy+Q7y2dzzrThc6m7lxQ+RJFA0LH6rX08uL6c2pZuls6ZwJ2Xz6Yg56OFFVt9rVQ0VlDeVE5lUyXljeVUNVfRHegGINZiyU/LZ3Lq5CPSv9yUXHKSc4iP1XVMIiIiIiISHZxztPpae2d417bX9s7+ruuoY0fLDhq7G3vb5yTnhMKIrFm9ocTUtKm9d8/zB4L8sbSaf3uhgg/aerhibi7fvHw207Oj584fJ0LhQxRwzvFyxQc88Fw5ZbWt/M3kdL69fA7FM8bRebCTzQ2bKakpYWPtRiqaKnpfl5GYwazMWRRmFfYOmtMyTiMhNsHDv0ZERERERGR42d+1v/ckbkVT6HFn8078LrRGRUp8CgtzFlKcV8yiiYuYnj6dTl+A//y/nTz6l+34/EE+fe5Ubr14JhNSR+fl5AofRriN2w/w4PpySnc3MSUriW9cVkD+xEY21ZVQUlvClg+24A/6iY+JZ/6E+SzMXcjp405nVtYsxieN16UQIiIiIiIiJ8AX8LGzZSflTeVsadhCSW0Je9v2AjAhaQLFecUUTyzmtNSz+N2rzax6Yy8JsTHctDifW5bMICN5dJ30VfgwQr21p4kH11fw16r9TEgPctH8erri3uHN+lLaDrYBMCdrDsUTiynOK+bsCWeTFJfkcdUiIiIiIiLRq7qtmk21myipDZ0Mbu5pBmBmxkxOz1zAvupCXnk3ibEJ8Xzhgul84fzpo+b2nAofRpj3a1p5aEM5L2yrIXPcdvLzy9nTVYov6CMvJY9FeYsoziumKLeIrDFa2ERERERERMQLQRekvLG8N4gorQt9b8tNmkRc1zls215ARlwetyw5jc8tyicpYfB31xiJFD6MENs/aOeh9dt4rmojyVlvk5jxHj3BdrLGZLEsfxlXzbiKednzdBmFiIiIiIjIMNTma+OF3S+wdudaXq99HYcj2eXTWD+X9OBCblsynxuKppAYF50hhMKHYW7n/g5+/OIrvLRvHfFpb2PxzSTFJnHxtIu5cvqVFOcVEx8zOqbpiIiIiIiIRIOGzgae3fksa3espayxDJzh75jJWH8RXyu6lhsXzoy6EELhwzBVXtfCvS+u5s3mNcSNrcSIoSh3EdcWXM3fTvlbkuOTvS5RRERERERETtKO5h2s3bGWJyqe4UBPLc6fTELXYj5/5mf44qKzGBMfHSGEwodhZvPeeu59+bdUdD1LTOIHJMVk8unZN/LZuZ9kXNI4r8sTERERERGRCHDOUVpXysOl/8WWA3/FYcR2ncUnZt7IPyxZSnJCnNclnhSFD8PEy1UV3P/qr9kXeAmL7WJc3Ay+Mv/vuK7wSuJjdVmFiIiIiIjIaFHdVs2Dm1by5+pnCFo31pPPpZOu558u/hQZSWO8Lu+EKHzw2B/e+Ss/3bySRt7EcOQnFfPNRV/i/CkLtHikiIiIiIjIKNbua+eRN37P45V/oMcawJ9BUdbH+P7Fn2dK+siaGa/wwUPbGqq5ft2VmEvgb9KXcdeSL1E4bprXZYmIiIiIiMgwEggG+M2WZ/n1u7+hlW3kxV7A85/5mddlHReFDx77ackzfHLehYxPSfe6FBERERERERnm1pWXkp6Ywnn5c7wu5bgcLXwY2atZjBBfK77a6xJERERERERkhFg+q9/v7yNajNcFiIiIiIiIiEh0U/ggIiIiIiIiIhGl8EFEREREREREIkrhg4iIiIiIiIhElMIHEREREREREYkohQ8iIiIiIiIiElEKH0REREREREQkohQ+iIiIiIiIiEhEKXwQERERERERkYhS+CAiIiIiIiIiEaXwQUREREREREQiSuGDiIiIiIiIiESUwgcRERERERERiSiFDyIiIiIiIiISUQofRERERERERCSizDnndQ3Hxcw+AHZ7XccJyAb2e12EnDT1Y3RQP0YH9WN0UD9GB/Vj9FBfRgf1Y3QYif04zTk3vr8NIy58GKnMrNQ5t8DrOuTkqB+jg/oxOqgfo4P6MTqoH6OH+jI6qB+jQ7T1oy67EBEREREREZGIUvggIiIiIiIiIhGl8GHo/NLrAuSUUD9GB/VjdFA/Rgf1Y3RQP0YP9WV0UD9Gh6jqR635ICIiIiIiIiIRpZkPIiIiIiIiIhJRCh9EREREREREJKIUPpxCZvYJM3vPzIJmtuCwbd82syozKzezZQO8frqZbTKzSjP7g5klDE3lMpBwP2wJ/+wysy0DtNtlZu+G25UOdZ1ydGb2fTPb16cvlw/Q7vLwGK0ys28NdZ1ydGb2L2a2zczeMbPVZpYxQDuNx2HoWOPLzBLD+9yq8LEwf+irlKMxsylm9pKZlYU/73y9nzYXmVlLn/3tXV7UKkd3rP2khTwcHo/vmNl8L+qUgZnZrD7jbIuZtZrZ7Ye10XgcpsxspZk1mNnWPs9lmdmG8HfBDWaWOcBrbwq3qTSzm4au6pOnNR9OITObAwSBR4F/dM6Vhp8/HXgMKALygBeAQudc4LDX/xF40jm3ysx+AbztnPv5UP4NMjAzexBocc7d08+2XcAC59z+IS9MjsnMvg+0O+f+9ShtYoEK4FKgGngDuNE59/6QFCnHZGaXAX92zvnN7McAzrk7+2m3C43HYWUw48vMvgqc6Zy7xcxuAK51zn3Kk4KlX2Y2EZjonNtsZqnAm8A1h/XjRYQ+A13lUZkyCMfaT4ZD+tuA5cC5wH84584dugrleIT3sfuAc51zu/s8fxEaj8OSmV0ItAO/dc7NDT/3ANDonPtROKTPPPxzjpllAaXAAsAR2g+f45xrGtI/4ARp5sMp5Jwrc86V97NpBbDKOdfjnNsJVBEKInqZmQEXA4+Hn/oNcE0k65XBC/fPJwmFSBKdioAq59wO55wPWEVo7Mow4Zxb75zzh38tASZ7WY8cl8GMrxWEjn0QOhZeEt73yjDhnKt1zm0O/7sNKAMmeVuVRMgKQl+KnHOuBMgIh08yPF0CbO8bPMjw5pz7C9B42NN9j4MDfRdcBmxwzjWGA4cNwOURK/QUU/gwNCYBe/v8Xs2RB+txQHOfD9b9tRHvXADUO+cqB9jugPVm9qaZ3TyEdcng3RqeOrpygGlsgxmnMnx8Hnh2gG0aj8PPYMZXb5vwsbCF0LFRhqHwZTFnA5v62bzIzN42s2fN7IwhLUwG61j7SR0TR5YbGPgEmcbjyJHjnKuFUNgLTOinzYgem3FeFzDSmNkLQG4/m77rnHt6oJf189zh17sMpo1EwCD79EaOPuvhPOdcjZlNADaY2bZwoilD5Gj9CPwcuJfQmLoXeJDQl9dD3qKf12oMDrHBjEcz+y7gB343wNtoPA4/Og5GETMbCzwB3O6caz1s82ZgmnOuPTx1/ymgYKhrlGM61n5S43GEsNAacR8Dvt3PZo3H6DOix6bCh+PknFt6Ai+rBqb0+X0yUHNYm/2EprTFhc/49NdGIuBYfWpmccB1wDlHeY+a8GODma0mNMVYX3aG0GDHppn9CvhTP5sGM04lwgYxHm8CrgIucQMsWqTxOCwNZnx92KY6vN9N58gpqeIxM4snFDz8zjn35OHb+4YRzrl1ZvYzM8vWGizDyyD2kzomjhxXAJudc/WHb9B4HHHqzWyic642fJlTQz9tqoGL+vw+GXh5CGo7JXTZxdBYA9wQXsl7OqHE8fW+DcIfol8Crg8/dRMw0EwKGVpLgW3Ouer+NppZSnjhLcwsBbgM2NpfW/HGYdepXkv//fMGUGChu84kEJrCuGYo6pPBMbPLgTuBjznnOgdoo/E4PA1mfK0hdOyD0LHwzwMFTOKN8BocvwbKnHMPDdAm98O1OsysiNBnzQNDV6UcyyD3k2uAz1lIMaEFt2uHuFQZnAFn52o8jjh9j4MDfRd8HrjMzDLDlxFfFn5uRNDMh1PIzK4FfgKMB9aa2Rbn3DLn3HvhO1m8T2iq8Nc+vNOFma0DvhhOoO8EVpnZfcBbhA7w4r0jrqMzszzgP51zy4EcYHV43x4H/N4599yQVylH84CZnUVoWtou4MtwaD+G76BwK6EdeCyw0jn3nlcFS78eARIJTREGKAnfGUHjcZgbaHyZ2T1AqXNuDaFj3n+bWRWhGQ83eFexDOA84LPAu/bRrae/A0wFcM79glBw9BUz8wNdwA0KkYadfveTZnYL9PbjOkJ3uqgCOoG/86hWOQozSyZ0F6Ev93mubz9qPA5TZvYYoRkM2WZWDdwN/Aj4o5l9AdgDfCLcdgFwi3Pui865RjO7l1CoD3CPc27EzBLUrTZFREREREREJKJ02YWIiIiIiIiIRJTCBxERERERERGJKIUPIiIiIiIiIhJRCh9EREREREREJKIUPoiIiIiIiIhIRCl8EBEREREREZGIUvggIiIiIiIiIhGl8EFERESGnJktNLN3zGyMmaWY2XtmNtfrukRERCQyzDnndQ0iIiIyCpnZfcAYIAmods7d73FJIiIiEiEKH0RERMQTZpYAvAF0A4udcwGPSxIREZEI0WUXIiIi4pUsYCyQSmgGhIiIiEQpzXwQERERT5jZGmAVMB2Y6Jy71eOSREREJELivC5ARERERh8z+xzgd8793sxigdfM7GLn3J+9rk1EREROPc18EBEREREREZGI0poPIiIiIiIiIhJRCh9EREREREREJKIUPoiIiIiIiIhIRCl8EBEREREREZGIUvggIiIiIiIiIhGl8EFEREREREREIkrhg4iIiIiIiIhE1P8DKTxFlmpAvkEAAAAASUVORK5CYII=\n",
"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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\n",
"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)"
]
},
{
"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",
" Z = np.random.multivariate_normal(np.zeros((1000)), k.K(X, X), 2)\n",
" for z in Z:\n",
" axs[i,j].plot(X, z)\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",
"\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": 14,
"metadata": {},
"outputs": [
{
"data": {
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\n",
"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": 15,
"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": 16,
"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": 17,
"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": 18,
"metadata": {},
"outputs": [
{
"data": {
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\n",
"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": 19,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
"Model: GP regression \n",
"Objective: 13.521088418410823 \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": 19,
"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": 20,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"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": 21,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
"Model: GP regression \n",
"Objective: 9.423230603061137 \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": 22,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"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": 23,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
"Model: GP regression \n",
"Objective: 8.67269989097597 \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
0.7095339864975491
+ve
\n",
"
rbf.lengthscale
0.10888996175214595
+ve
\n",
"
Gaussian_noise.variance
5.539512723356558e-09
+ve
\n",
"
"
],
"text/plain": [
""
]
},
"execution_count": 23,
"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": 24,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[]"
]
},
"execution_count": 24,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"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": 25,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"reconstraining parameters GP_regression\n"
]
},
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
"Model: GP regression \n",
"Objective: 8.705963798294754 \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
0.7026408590043611
+ve
\n",
"
rbf.lengthscale
0.11245661515115553
+ve
\n",
"
Gaussian_noise.variance
0.01
fixed +ve
\n",
"
"
],
"text/plain": [
""
]
},
"execution_count": 25,
"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": 26,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"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": 27,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 27,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"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 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, which can be done through a utility provided by `GPy`. "
]
},
{
"cell_type": "code",
"execution_count": 28,
"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",
"\n",
"# Load in the data\n",
"with open(\"../.resources/mauna_loa\", \"rb\") as fid:\n",
" data = pickle.load(fid)\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": 29,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"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": 30,
"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": 31,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
"Model: GP regression \n",
"Objective: 612.8931626031546 \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": 33,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
"Model: GP regression \n",
"Objective: 1597972.8466213136 \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
9.792209508640323e-105
+ve
\n",
"
Gaussian_noise.variance
1e-05
+ve fixed
\n",
"
"
],
"text/plain": [
""
]
},
"execution_count": 33,
"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": 34,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"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?\n",
"\n",
"```python\n",
"k_L = GPy.kern.Linear(1, variances=[1.])\n",
"```\n",
"\n",
"(b) How might we encode this trend in the mean estimate of the GP ?\n",
"\n",
"> 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": 35,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
"Model: GP regression \n",
"Objective: 7695.687492021736 \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": 37,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
"Model: GP regression \n",
"Objective: 703.7817554201195 \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": 38,
"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": 40,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Optimization restart 1/5, f = 149.49341133875777\n",
"Optimization restart 2/5, f = 610.145209004253\n",
"Optimization restart 3/5, f = 517.2231928940254\n",
"Optimization restart 4/5, f = 521.1495942069332\n",
"Optimization restart 5/5, f = 157.5793234599414\n"
]
},
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
"Model: GP regression \n",
"Objective: 149.49341133875777 \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": 41,
"metadata": {},
"outputs": [
{
"data": {
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\n",
"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": 42,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Optimization restart 1/20, f = 368.54580389670633\n",
"Optimization restart 2/20, f = 142.89556915664892\n",
"Optimization restart 3/20, f = 583.9150596946627\n",
"Optimization restart 4/20, f = 354.2131443134545\n",
"Optimization restart 5/20, f = 156.3345015245431\n",
"Optimization restart 6/20, f = 171.4447572581057\n",
"Optimization restart 7/20, f = 629.764260387552\n",
"Optimization restart 8/20, f = 149.03779403163233\n",
"Optimization restart 9/20, f = 619.8062633723202\n",
"Optimization restart 10/20, f = 633.7410439292254\n",
"Optimization restart 11/20, f = 201.75335122528176\n",
"Optimization restart 12/20, f = 527.8424379418116\n",
"Optimization restart 13/20, f = 207.325121527968\n",
"Optimization restart 14/20, f = 514.078825045191\n",
"Optimization restart 15/20, f = 291.32329435849755\n",
"Optimization restart 16/20, f = 620.7848810973366\n",
"Optimization restart 17/20, f = 513.66872839669\n",
"Optimization restart 18/20, f = 500.4185525845786\n",
"Optimization restart 19/20, f = 140.93454043417375\n",
"Optimization restart 20/20, f = 576.5665286475988\n"
]
},
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
"Model: GP regression \n",
"Objective: 140.93454043417375 \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": 43,
"metadata": {},
"outputs": [
{
"data": {
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\n",
"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": 44,
"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": 45,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
"Model: GP regression \n",
"Objective: 5.090540477545748 \n",
"Number of Parameters: 3 \n",
"Number of Optimization Parameters: 2 \n",
"Updates: True \n",
"