{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "\n", "UFF logo\n", "\n", "\n", "IC logo\n", "\n", "
" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "align_type": "Left", "slide_type": "-" } }, "source": [ "### Machine Learning\n", "# 4. Artificial Neural Networks" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### [Luis Martí](http://lmarti.com)\n", "#### [Instituto de Computação](http://www.ic.uff)\n", "#### [Universidade Federal Fluminense](http://www.uff.br)\n", "$\\newcommand{\\vec}[1]{\\boldsymbol{#1}}$" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": true, "slideshow": { "slide_type": "skip" } }, "outputs": [], "source": [ "import random, itertools\n", "import numpy as np\n", "import pandas as pd\n", "import matplotlib as mpl\n", "import matplotlib.pyplot as plt\n", "import matplotlib.cm as cm\n", "from mpl_toolkits.mplot3d import Axes3D" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": true }, "outputs": [], "source": [ "plt.rc('text', usetex=True); plt.rc('font', family='serif')\n", "plt.rcParams['text.latex.preamble'] ='\\\\usepackage{libertine}\\n\\\\usepackage[utf8]{inputenc}'\n", "\n", "import seaborn\n", "seaborn.set(style='whitegrid'); seaborn.set_context('talk')\n", "\n", "%matplotlib inline\n", "%config InlineBackend.figure_format = 'retina'" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": true }, "outputs": [], "source": [ "random.seed(a=42)" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": true, "slideshow": { "slide_type": "skip" } }, "outputs": [], "source": [ "from ipywidgets import interact, interactive, fixed\n", "import ipywidgets as widgets" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": true, "slideshow": { "slide_type": "skip" } }, "outputs": [], "source": [ "# tikzmagic extesion for figures - https://github.com/mkrphys/ipython-tikzmagic\n", "%load_ext tikzmagic\n", "# for rendering graphviz dot files - https://github.com/cjdrake/ipython-magic\n", "%load_ext gvmagic" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Why to study bio-inspired methods\n", "\n", "* Nature is one of the best problem-solvers we know.\n", "* Evolutionary optimization.\n", "* Natural intelligence and artificial intelligence\n", " * Cellular automata\n", " * **Neural computation**\n", " * Evolutionary computation\n", " * Swarm intelligence\n", " * Artificial immune systems\n", " * Membrane computing\n", " * Amorphous computing" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Pigeons as art connoisseurs (Watanabe et al., 1995)\n", "* Pigeons were put in a Skinner box, and\n", "* presented with photos of paintings by Monet and Picasso. \n", "* They were rewarded if they recognized correctly the painter they were presented with.\n", "
\n", "
\n", "
\n", "
\n", " [Skinner box](https://en.wikipedia.org/wiki/Operant_conditioning_chamber)\n", " \n", "
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\n", " [Claude Monet](https://en.wikipedia.org/wiki/Claude_Monet)\n", " \n", "
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\n", " [Pablo Picasso](https://en.wikipedia.org/wiki/Pablo_Picasso)\n", " \n", "
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\n", "
" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "skip" } }, "source": [ "Watanabe, S., Sakamoto, J., & Wakita, M. (1995). Pigeons’ discrimination of paintings by Monet and Picasso. Journal of the Experimental Analysis of Behavior, 63(2), 165–174. http://doi.org/10.1901/jeab.1995.63-165" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Results\n", "\n", "* Pigeons were capable of discriminate between painters with an accuracy of **95%** when confronted with paintings on the **training set**.\n", "* Surprinsingly, they scored a **85%** on paintings they had never seen during training (**validation set**).\n", "* They were not just learning exhaustively which painting belonged to each painter.\n", "* They were able to recognize **styles** or **patterns** and\n", "* to **generalize** from what they had seen before.\n", "\n", "> In AI, we have been trying to replicate this capacity (and many others) in a computer for about 60 years." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Artificial neural networks\n", "\n", "* Inspired (at different degrees) on the brain and the nervous system.\n", "* Massive parallelization of relatively simple processing units.\n", "* Simple principles lead to complex behaviours.\n", "* Capable of learn form data." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Creating [artificial neurons](https://en.wikipedia.org/wiki/Artificial_neuron) \n", "\n", "Artificial neurons are designed to mimic aspects of their biological counterparts.\n", "
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    \n", "
  • **Dendrites** – act as the input receptor, allowing the cell to receive signals from a large (>1000) number of neighboring neurons. Each dendrite is able to perform a \"multiplication\" by that dendrite's \"weight value.\"\n", "\n", "
  • **Soma** – acts as a summation function. As positive and negative signals (exciting and inhibiting, respectively) arrive in the soma from the dendrites they are added together.\n", "\n", "
  • **Axon** – gets its signal from the summation behavior which occurs inside the soma. The opening to the axon samples the electrical potential inside the soma. Once the soma reaches a certain potential, the axon will transmit an all-in signal pulse down its length. \n", "
  • In this regard, the axon behaves as the ability for us to connect our artificial neuron to other artificial neurons.\n", "
\n", "
\n", "
\n", "
\n", "\n" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "skip" } }, "source": [ "#### Note:\n", "\n", "* Unlike most artificial neurons, biological neurons fire in discrete pulses. \n", "* Each time the electrical potential inside the soma reaches a certain threshold, a pulse is transmitted down the axon. \n", "* This pulsing can be translated into continuous values. The rate (activations per second, etc.) at which an axon fires converts directly into the rate at which neighboring cells get signal ions introduced into them. \n", "* The faster a biological neuron fires, the faster nearby neurons accumulate electrical potential (or lose electrical potential, depending on the \"weighting\" of the dendrite that connects to the neuron that fired). \n", "* It is this conversion that allows computer scientists and mathematicians to simulate biological neural networks using artificial neurons which can output distinct values (often from −1 to 1)." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "The first artificial neuron was the **Threshold Logic Unit (TLU)**, proposed by McCulloch and Pitts (1943). \n", "* The model was specifically targeted as a computational model of the \"nerve net\" in the brain.\n", "* As a transfer function, it employed a threshold, equivalent to using the Heaviside step function. \n", "* A simple model was considered, with binary inputs and outputs, and \n", "* restrictions on the possible weights, and a more flexible threshold value.\n", "\n", "* Any boolean function could be implemented by networks of such devices, what is easily seen from the fact that one can implement the `AND` and `OR` functions, and use them in the disjunctive or the conjunctive normal form. \n", "* Cyclic TLU networks, with feedbacks through neurons, could define dynamical systems with memory, but\n", "* most research concentrated (and still does) on strictly feed-forward networks because of the smaller difficulty they pose." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "skip" } }, "source": [ "McCulloch, W. and Pitts, W. (1943). A logical calculus of the ideas immanent in nervous activity. Bulletin of Mathematical Biophysics, 5:115–133. http://link.springer.com/article/10.1007%2FBF02478259" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Artificial neuron as a neuron abstraction" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/svg+xml": [ "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", "\n", "\n", " \n", " \n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", " \n", "\n", "\n", "\n", "\n", "\n", " \n", "\n", "\n", "\n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", "\n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", "\n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", "\n", "\n", "\n", "\n", " \n", "\n", "\n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", "\n", "\n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", "\n", "\n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", "" ] }, "metadata": { "isolated": "true" }, "output_type": "display_data" } ], "source": [ "%tikz -s 700,200 -sc 1.0 -l shapes,calc,shapes,arrows -f svg \\input{imgs/05/neuron.tikz}" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "In general terms, an input $\\vec{x}\\in\\mathbb{R}^n$ is multiplied by a weight vector $\\vec{w}$ and added a bias $b$ producing the net activation, $\\text{net}$. $\\text{net}$ is passed to the *activation function* $f()$ that computed the neuron's output $\\hat{y}$.\n", "$$\n", "\\hat{y} = f\\left(\\text{net}\\right)= f\\left(\\vec{w}\\cdot\\vec{x}+b\\right) = f\\left(\\sum_{i=1}^{n}{w_i x_i + b}\\right).\n", "$$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "skip" } }, "source": [ "**Note:** This is a rather simplistic approximation of natural neurons. See [Spiking Neural Networks](https://en.wikipedia.org/wiki/Spiking_neural_network) for a more biologically plausible representation." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# The Perceptron\n", "\n", "The [Perceptron](https://en.wikipedia.org/wiki/Perceptron) and its learning algorithm pioneered the research in neurocomputing.\n", "\n", "* The perceptron is an algorithm for learning a linear binary classifier. \n", "* That is a function that maps its input $\\vec{x}\\in\\mathbb{R}^n$ (a real-valued vector) to an output value $f(\\vec{x})$ (a single binary value) as,\n", "\n", "$$\n", "f(\\vec{x}) = \\begin{cases}\n", " 1 & \\text{if }\\vec{w} \\cdot \\vec{x} + b > 0\\,,\\\\\n", " 0 & \\text{otherwise};\n", " \\end{cases}\n", "$$\n", "\n", "where $\\vec{w}$ is a vector of real-valued *weights*, $\\vec{w} \\cdot \\vec{x}$ is the *dot product* $\\sum_{i=1}^n w_i x_i$, and $b$ is known as the *bias*. " ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Perceptron learning\n", "\n", "Learning goes by calculating the prediction of the perceptron, $\\hat{y}$, as\n", "\n", "$$\\hat{y} = f\\left(\\vec{w}\\cdot\\vec{x} + b) = f( w_{1}x_{1} + w_2x_{2} + \\cdots + w_nx_{n}+b\\right)\\,.$$\n", "\n", "After that, we update the weights and the bias using the perceptron rule:\n", "\n", "$$\n", "\\begin{align*}\n", "w_i & = w_i + \\alpha (y - \\hat{y}) x_{i} \\,,\\ i=1,\\ldots,n\\,;\\\\\n", "b & = b + \\alpha (y - \\hat{y})\\,.\n", "\\end{align*}\n", "$$\n", "\n", "Here $\\alpha\\in\\left(0,1\\right]$ is known as the *learning rate*." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Mark I: The Perceptron implementation\n", "\n", "
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  • An array of cadmium sulfide photocells was used for capturing 20x20 (400) pixel images that were used as inputs.\n", "
  • A switchboard was used for manually selecting which input elements (pixels) were passed to the perceptrons.\n", "
  • They used potentiometers as variable weights.\n", "
  • Electric motors automatically modified the weights.
\n", "
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" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Implementing the Perceptron\n", "\n", "We are going to start implementing a perceptron as a class. " ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": true }, "outputs": [], "source": [ "class Perceptron:\n", " 'A simple Perceptron implementation.'\n", " def __init__(self, weights, bias, alpha=0.1):\n", " self.weights = weights\n", " self.bias = bias\n", " self.alpha = alpha\n", " \n", " def propagate(self, x):\n", " return self.activation(self.net(x)) \n", " \n", " def activation(self, net):\n", " if net > 0:\n", " return 1\n", " return 0\n", " \n", " def net(self, x):\n", " return np.dot(self.weights, x) + self.bias\n", " \n", " def learn(self, x, y):\n", " y_hat = self.propagate(x)\n", " self.weights = [ w_i + self.alpha*x_i*(y-y_hat) for (w_i, x_i) in zip(self.weights, x)]\n", " self.bias = self.bias + self.alpha*(y-y_hat)\n", " return np.abs(y_hat - y)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "skip" } }, "source": [ "**Note**: Bear in mind that I have made the implementation as clear and easy to follow as possible and, therefore, I have sacrificed performance in the sake of clarity. There are many points where it can be improved." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "### Testing our `Perceptron` class.\n", "\n", "After having the perceptron implementation ready we need an example data set.\n", "\n", "We are going to create a dataset containing random points in $\\left[0,1\\right]^2$." ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": true }, "outputs": [], "source": [ "size = 50 # size of data set" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": true }, "outputs": [], "source": [ "data = pd.DataFrame(columns=('$x_1$', '$x_2$'),\n", " data=np.random.uniform(size=(size,2)))" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "So far, our data set looks like this (we are showning only the first ten elements):" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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$x_1$$x_2$
00.4800060.435149
10.8782790.398403
20.1998720.388055
30.9702180.947632
40.1730010.550177
50.1529570.419160
60.3213590.810125
70.8749310.660673
80.9275280.986753
90.9170030.421432
\n", "
" ], "text/plain": [ " $x_1$ $x_2$\n", "0 0.480006 0.435149\n", "1 0.878279 0.398403\n", "2 0.199872 0.388055\n", "3 0.970218 0.947632\n", "4 0.173001 0.550177\n", "5 0.152957 0.419160\n", "6 0.321359 0.810125\n", "7 0.874931 0.660673\n", "8 0.927528 0.986753\n", "9 0.917003 0.421432" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "data.head(10)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "We need to add a *target* or *classification* attribute. In this example, we are going to make this target to be equal to one if the point lies in the upper-right triangle of the $\\left[0,1\\right]\\times\\left[0,1\\right]$ square and zero otherwise:\n", "\n", "
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\n", "
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\n", " description of the data set\n", "
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" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "We can formalize this condition as:\n", "\n", "$$\n", "y = \\begin{cases}\n", " 1 & \\ \\text{if}\\ x_1 + x_2 > 1\\,,\\\\\n", " 0 & \\ \\text{otherwise}\\,.\n", " \\end{cases}\n", "$$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "Lets code it..." ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def condition(x):\n", " return int(np.sum(x) > 1)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "...and apply it to the data set." ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": true }, "outputs": [], "source": [ "data['y'] = data.apply(condition, axis=1)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "The resulting data set looks like this:" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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$x_1$$x_2$y
00.4800060.4351490
10.8782790.3984031
20.1998720.3880550
30.9702180.9476321
40.1730010.5501770
50.1529570.4191600
60.3213590.8101251
70.8749310.6606731
80.9275280.9867531
90.9170030.4214321
\n", "
" ], "text/plain": [ " $x_1$ $x_2$ y\n", "0 0.480006 0.435149 0\n", "1 0.878279 0.398403 1\n", "2 0.199872 0.388055 0\n", "3 0.970218 0.947632 1\n", "4 0.173001 0.550177 0\n", "5 0.152957 0.419160 0\n", "6 0.321359 0.810125 1\n", "7 0.874931 0.660673 1\n", "8 0.927528 0.986753 1\n", "9 0.917003 0.421432 1" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "data.head(10)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "We can now take a better look at the data set in graphical form. Elements with $y=1$ are shown in green ($\\color{green}{\\bullet}$) and those with $y=0$ are shown in red ($\\color{red}{\\bullet}$):" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def plot_data(data, ax):\n", " data[data.y==1].plot(kind='scatter', \n", " x='$x_1$', y='$x_2$', \n", " color='green', ax=ax)\n", " data[data.y==0].plot(kind='scatter', \n", " x='$x_1$', y='$x_2$', \n", " color='red', ax=ax)\n", " ax.set_xlim(-0.1,1.1); ax.set_ylim(-0.1,1.1)" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "slideshow": { "slide_type": "slide" } }, "outputs": [ { "data": { "image/png": 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+7+jJ7QudAOxdY7i5nThuIcScTgBRFJUh+IPSVnBs58VdlPmGvGB7TNIVY8xVSdfl9X5+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\nvOp8LAAbCaAAW6r14xy/38nQArq83v+zzQkK8Gg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"text/plain": [ "" ] }, "metadata": { "image/png": { "height": 324, "width": 336 } }, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(5,5))\n", "plot_data(data, fig.gca())" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Iterating the data set\n", "\n", "Having the data set we can now code how the perceptron learns it by iterating throu it." ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def learn_data(perceptron, data):\n", " 'Returns the number of errors made.'\n", " count = 0 \n", " for i, row in data.iterrows():\n", " count += perceptron.learn(row[0:2], row[2])\n", " return count" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Visualizing learning\n", "\n", "We need now to plot the decision boundary or threshold of the perceptron.\n", "\n", "To calculate it we start with the equation that describes the boundary,\n", "$$w_1x_1+w_2x_2 + b =0.$$\n", "\n", "From it we can obtain $x_2$ from a given $x_1$ applying a fairy simple math,\n", "$$x_2 = \\frac{-w_1x_1-b}{w_2}.$$" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def threshold(perceptron, x_1):\n", " return (-perceptron.weights[0] * x_1 - perceptron.bias) / perceptron.weights[1]" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "collapsed": true, "slideshow": { "slide_type": "skip" } }, "outputs": [], "source": [ "def plot_perceptron_threshold(perceptron, ax):\n", " xlim = ax.get_xlim(); ylim = ax.get_ylim()\n", " \n", " x2s = [threshold(perceptron, x1) for x1 in xlim]\n", " ax.plot(xlim, x2s)\n", " \n", " ax.set_xlim(-0.1,1.1); ax.set_ylim(-0.1,1.1)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "skip" } }, "source": [ "A function that plots a perceptron as the threshold and the data set." ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "collapsed": true, "slideshow": { "slide_type": "skip" } }, "outputs": [], "source": [ "def plot_all(perceptron, data, t, ax=None):\n", " if ax==None:\n", " fig = plt.figure(figsize=(5,4))\n", " ax = fig.gca()\n", " plot_data(data, ax)\n", " plot_perceptron_threshold(perceptron, ax)\n", " \n", " ax.set_title('$t='+str(t+1)+'$')" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Our perceptron in action\n", "\n", "All set now! Let's create a perceptron and train it. \n", "\n", "**Note**: Normally the initial weights and the bias should be set to *small* random values. I am setting them by hand to a value that I know that looks good in the examples." ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "collapsed": true, "slideshow": { "slide_type": "fragment" } }, "outputs": [], "source": [ "perceptron = Perceptron([0.1,-0.1],0.02)" ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "slideshow": { "slide_type": "slide" } }, "outputs": [ { "data": { "image/png": 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DPNlx4WFaPJsxBr1iIrFxx3GXvgaLHe9+VYZ7beEYPlymAInIL9SSJ9U7x5qI\nyAd2HyrB6k0HJe0JvYx4aUEaurvZbVkpso5k4altT6GkugSV5kpY7BZUmitRUl2ChdsWIutIltwh\nUgDNTpfeOLMlu1CGSIiCB/Mk+dv9tw7DqMGuxWK73YHlb+ehvMosU1REHcc8efU0Gg3unzkcC+8Z\njbbbqdgdwPv/+QGbvzwBh8MhT4BE5FNqypMsIhMReZBXcB6vvJsPe5vxW8+YSLy0YDJMUXp5AvMB\nm92GzO2ZqDBXuO2vMFcgc3sm7A67235Snwkj+kh2Dt9z6BwuXa6XKSIieTFPUiCEhWnxP/ePRWy0\n65iioroBy9/Og9XG1xcFL+bJrpmZloT/fXiC22Xx3tp2FGs/Ogxb2w8iRKQoasuTLCITEblx+GQZ\nlq7fD6vNdeAWE9UNv3tiMnqblL1WWfbpbNRaar0+ps5Sh+zi7ABFRHIL02pw+/UDXdpsdge27Tkl\nU0RE8mKepEAxRemx6MFxCGszJfG7wkvY8EmBTFERtY95susmpsTjd09MRpSbuxu37jmFZRty0WCx\nyRAZEfmC2vIki8hERG2cOFOBl//6NRqtrlcDjZE6vDQ/DX17dZcpMt8prS5FbaP3N7PaxlqU1pQG\nKCIKBtMnJEIf4Tob5rO9xfzwQiGJeZIC6dqBcfjpHSMk7R/t/B45356TISKi9jFP+sawpFiseCYd\nsVE6Sd/ew6V44Y0cVNc1yhAZEXWV2vIki8hERK0U/1CFX6/di/oGq0u7PiIMSx6fhIF9e8gUmW/F\nR8XDGGH0+hhjhBHx3eMDFBEFg+6ROkwbP8ClrbquEf85cFamiIjkwzxJgTY7PRlTRveVtL/6/jco\nuVgjQ0RE3jFP+k5Cr+546o7+iDdJC8kFReV4flU2LpTXyRAZEXWF2vIki8hERE6lZbV4cU0Oquss\nLu26cC1+9chEDEuMlSky30sfkA6jrp03M50R6YnpAYqIgkXbJS0A4F/ZhdzchUIO8yQFmkajwTP3\nXoeENnc81TdYsXT9fpjbXOAmkhvzpG9FGcLx8PReGNpPumze2Qs1yFy1C4Ull2WIjIg6S215kkVk\nIiIAZZX1+NWaHJRXNbi0h2k1+MWD4zF6SC+ZIvOPMG0YVs5YCZPe5LbfpDdhxYwV0Gr4NhFq+vWO\nwrjh17i0FZVW4fDJMpkiIpIH8yTJwaDXYfHD49GtzdJCxT9U4/UPD/GCHgUV5knf66bT4qczEnDz\nuP6SvvK6XsHAAAAgAElEQVSqBvzitd04ePyCDJERUWeoLU8qI0oiIj+6XNOAF9bkSG4R02iA5+al\nYsKIPjJF5l9zrp2DpyY8BZPehO667tBpdDDpTUiISsDrs15HRkqG3CGSTO5IT5a0bdlVKEMkRPLK\nSMnAqttWoWdkTxh1RoRrwhHTLYZ5kvwqsU80/mvOdZL2r/LP4rN9xTJEROQZ86TvhWk1eDZjDOZO\nHyrpq2+wYsm6ffgq/4wMkRFRZ6gpT4bLHQARkZxq6i14ce1enL0gXWtw4d2jMTW1nwxR+ZbNbkP2\n6WyUVpciPioe6QPS8cHRD5C5PRO1llrUNtaiW3g3RHWLwlMTnsKSG5co5koo+ceYob3Q/5ruOHP+\nyt/F/qM/oLSsFvE9vd+ORaRE7vJkmDYMWUeysOjzRbA6rGiwNaBbeDeEh4VjxS0rFDXgJ+W5MbUf\nxKJybN1zyqV97UeHMSihB4YOcD+jichfmCcDS6PR4P6ZwxEXE4k3PjwEe6ubEGx2B/7w3gFcumzG\n3TcNhkajkS9QImoRCnmSRWQiClnmBiteenOf27XFfnr7CNyalhT4oHws60iWS7HYGGGEFlqYrWbU\nWa/MvLY0Nq0DvXr/agzvNRzzUubJFTIFAY1GgzuuT8brH37b0uZwAFv3FOLxH4+UMTIi33OXJ406\nI+4cfife/fZdVJgrWh5rtVtRa6nFU588BWjAXEl+9cjsFJw4UwnxdKvXoM2O32/IxavP3YhoY4SM\n0VEoYZ6Uz8y0JMRGdcPyd/LRaLG59L217SguVdbjsZ+MRJiWhWQiOYVKnuRUMyIKSRarDf+3fj8K\nisolfXNvGYq7bhosQ1S+lXUkC09tewol1SWoNFfCYreg0lyJcnO5SwG5tQpzBTK3Z8LusAc4Wgo2\nN43tD2Ok6w7hO/afRp3Z4uEIIuXxlCdLqkvw2v7XXAb8rTFXUiDowrVY9OB4SbH4YkU9XnkvH3Y7\n10cm/2OelN/ElHj87onJiDJILxxt3XMKyzbkoqFNgZmIAieU8iSLyEQUcmw2O1a8k49vjl+U9N2R\nnoz7fjRMhqh8y2a3IXN7psc3LG/qLHXILs72Q1SkJPpu4fjRxESXtjqzFV/kcg0+Uof28qQD3gt0\nzJUUCL1Mkfif+8ai7d3qB45dwMYdx+UJikIG82TwGJYUixXPpOOaWIOkb+/hUrzwRg6q6xpliIwo\ntIVanmQRmYhCit3uwJ8/OIi9h0slfdPG98djs1NUsa5Y9uls1FpqO3VsbWMtSmukPx8KPbOmDETb\nuyO37i7k7DdSha7kSYC5kgJnjNDb7QXurO3HcODYBRkiolDBPBlcEnp1x4qn0zGoXw9JX0FROZ5f\nlS3ZKJyI/CvU8iSLyEQUMhwOB9Z9fBhf5klnUk4Z1RdPz7kOWpWsJ1ZaXYraxs69mRkjjIjvHu/j\niEiJescakDayr0vbubJa5B87L1NERL7TlTwJMFdSYM2ZNhTjhl/j0uZwACvfzWPRiPyGeTL4mKL1\n+L8npyBV6C3pO3uhBpmrdrnd74WI/CPU8iSLyEQUMt7+tECyyzkApA7rjZ/fNxZhYcpMiTa7DTuL\ndiLrcBZ2Fu2EzW5DfFQ8jBHGTp3PqDMiPTHdx1GSUt2Rnixp25JdKEMkRF3TNlf2NvbudJ4EmCsp\nsLRaDX72/1LRu82t7NV1Fvx+Qy4sVq6HSl3HPKkMBr0OLzw6ETeP6y/pK69qwC9e242Dx3mXApE/\nhHqeDJc7ACKiQPjwyxPY9MUJSfuI5Dgsfmg8dOHKLCB72gV2+S3LYdQZUWmuvKrzmfQmrJixAlqN\nMn8e5HvXDozFoH49cPLslVktB49fRPEPVUjsEy1jZEQd5y5XGsIN0LYzn0IDjdu17JgrSQ5Rhggs\nfnA8Mldlw2q7sgnPiTOVePOfR/Dk3aNljI6UjnlSWcLDtHg2Ywx6xkTigzbro9c3WLFk3T78d8YY\n3DRWWmgmos5hnuRMZCIKAZ/mnML6bUcl7YP79cCLj06EPkKZ19O87QL7X5/8F+4cfidMepPbY406\nI0x6E0x6EyK0ETDpTUiISsDrs15HRkpGgL8TCmYajQaz3cxG/hdnI5NCeMqV52rOwWw1w6hzP3vE\npDfhqQlPISEqgbmSgsbg/jF44q6RkvZPcorwVT43PqXOYZ5UJo1GgwdmDsfCu0dJ9rCw2R34w3sH\nsPnLE3A4uJcFUVcxTzZRZuWEiKiDvso/g7/841tJe/9rorDk8TQY9DoZouq69naBrTBX4KOCj7D6\nttV4/vPnUWepu3K1VGfAyhkrce+Ie5FdnI3SmlLEd49HemK6oq6CUuCkX5eAv289isrqhpa2r/LP\n4qFZ1yLKECFjZETetZcr66x1MOlNiNHHuM2TGSkZ+NOtf2KupKAyY2IiCorK8UWua9F49aZDGNi3\nB5LieZcIdRzzpPLNnDwQpmg9Vrydh0ar3aXvrW1HcamyHo/9ZCTCVLL3C1GgMU9ewSIyEanWviOl\nePX9b9D24nufOANeXpCGHt27yROYD3RkF9g6Sx0SohJw+rnTHt+wpiZNDUS4pHC68DDMTEtC1nax\npa3RYsO/9xXjnpuHyBgZkXcd3TH77TvfhlajdZsntRotcyUFFY1GgyfuGoWTZy+jqLSqpb3RYsPS\n9fvxx+emKvYiOQUe86Q6TEqJx++enIKX/vo1qusaXfq27jmFS1Vm/Py+seimC5MpQiLlYp68Qnll\nbyKiDjh4/AKWbciD3e5aQY6N1uPlBZMR1yNSpsh8oyO7wNY21qK0prTlDSsjJQNTk6Yq8oonyW9m\nWhLC22w+uW3PKdhsdg9HEMmvo7nyfO155klSFH1EOBY/PB4GveucoHNltfjTxm94+zp1GPOkegxL\nisXyp6+XbMAJAHsPl+LFNTmSAjMRtY958gr1fUdEFPKOFZXjt3/f77LpDNC0Ic3LC9LQJ67zu6cG\ni/io+HZ3gTVGGBHfPT5AEZHamaL1uGFMgktbWWU99h4plSkiovYxV5Ka9e3ZHc/NS5W053xbin/u\nOilDRKREzJPq0q93FFY+nY7khB6SvqOnyrFodTYulNfJEBmRcjFPXsEiMhGpSmHJZSx5cx8aGm0u\n7QZ9OF6an4YBfdSxTmD6gHSPi/c3M+qMSE9MD1BEFArucLPB3pZd3GCPghdzJandpJR43H3TYEn7\n37cexXeFl2SIiJSGeVJ9TNF6LF04BWOG9pL0nTlfg8xVu3Dq3GUZIiNSJubJK1hEJiLVOHuhGi+u\nzUFtvcWlPUIXhhcfnYTB/WNkisz3wrRhWDljJUx6k9t+k96EFTNWqPIWGpLP4H4xuHZgrEtbQVE5\nTpxxv8kEkdyYKykUPDBzOEYO6unSZrc7sGxDLiqqzDJFRUrBPKlOBr0OLz42CTeP6y/pK69qwKLV\nu3Ho+EUZIiNSHubJK9T/HRJRSLhQXocX3sjB5RrXdb7CwzT45cMTMCI5TqbI/CcjJQOvzXoNCVEJ\nMOlNiNBGwKQ3ISEqAa/Peh0ZKRlyh0gqNDt9kKRtSzZnI1PwYq4ktQsL0yLz/rGIjXbdMLiiugHL\n38nj2vXULuZJdQoP0+LZjDG4d/pQSV99gxVL3tyLnflnZIiMSHmYJ5uEt/8QIqLgVlFlxq/W5KDs\nsutsG60G+J/7xyF1WG+ZIvO/eSnzMHfEXGQXZ7vdBZbI1yal9EEvUyQuVtS3tO0+WIKf3j4CsdF6\nGSMj8oy5ktTOFK3H8w+Mx//+ZY/LpsJHTl7C258W4OHbR8gYHSkB86Q6aTQaPDBzOHr20OONf3yL\n1nuOW20OvPLeAVy6bMZdNw2GRqORL1AiBWCeZBGZiBSuuq4RL6zJQWmZdLfUZ+aOwZRRfWWIKrC0\nGi2mJk2VOwwKEWFhWsyaPBDrtx1tabPaHPg0pwj33TpMxsiIvGOuJLUbkRyHn94+An/dcsSl/cOv\nvoeQaELaSPWPiahrmCfVa+bkgTBF67Hi7Tw0Wl3vTli/7SjKLtfjsR+PRJiWhWQib0I9T4ZOuZyI\nVKfObMGSdXtR/EO1pG/+T0Zi2vgBMkRFpH4zJiWiW0SYS9tne4tgsdrcH0BERAHx4xuS3V5Af/X9\nb3DuYo0MERFRsJiUEo/fPTkFUYYISd/W3aewbEMuGiwcyxGRZywiE5EiNVhs+O3f9uP46UpJ3/0z\nh+GO9GQZoiIKDVGGCNw81nWjlsqaBuz6pkSmiIiICGi6df2ZudchoZfrLvJ1ZiuWvpULc6NVpsiI\nKBgMS4rF8qevR+9Yg6Rv7+FSvLgmB9V1jW6OJCJiEZmIFMhqs2PZhlwcPlkm6bvrxsG4d5p08wgi\n8i13F2q27CqEw+Fw82giIgoUg16HxQ9NkNwxUlRahb98+C3zNFGI69c7CiufTkdyQg9J39FT5Vi0\nOhsXyutkiIyIgh2LyESkKDa7A3987wByj56X9M1MS8LDt1/LTSGIAqD/NVEYM7SXS1vhucv4rvCS\nTBEREVGzxPho/Nc9oyXtX+adwb/3FcsQEREFE1O0HksXTpGM5QDgzPkaZK7ahVPnLssQGREFMxaR\niUgxHA4HXt98CLsOSm+ZnzqmH564axQLyEQBNPuGQZK2LdmFMkRCRERt3Ti2P26bnCRpX/PRYZw4\nUxH4gIgoqBj0Orz42CTcPK6/pK+8qgGLVu/GoeMXZYiMiIIVi8hE5JHNbsPOop3Ydnob8sryYLPL\nt9GCw+HA3/71HbZ/LZ09M3FEHzw7bwy03E2YKKBShd6SdTe/PlKK8yF0C2Qw5UkiorYe+3EKhg6I\ncWmz2uz4/Vu5AVv3lHmSKHiFh2nxbMYY3DtduhxgfYMVS97ci535Z2SILLQwT5JShMsdABEFp6wj\nWcjcnolaSy1qG2qhD9fDcMiAVx2vIiMlI+DxbNxxHB//56SkfdTgnnj+gXEID+M1MaJA02o1uOP6\nZLzx0eGWNrsD2LbnFB65Y4SMkQVGsOVJIqK2dOFhWPTgeDz7h/+4FI0vVNTjlXfz8eKjk/x6EZ55\nkij4aTQaPDBzOHr20OONf3wLe6tl0602B1557wAuXTbjrpsG865PP2CeJCVh1YWIJLKOZOGpbU+h\npLoEleZKWBwWVFuqcb7+PBZuW4isI1kBjWfLrpN497NjknYh0YRfPTIREbowN0cRUSDcPH4AjHrX\na9Lbvy5GfYNVpogCI9jyJBGRJ71NBvzP/WPRtvaTf+wCPvjiuN+el3mSSFlmTh6IxQ9PQES4tEy0\nfttRrP34MGx2bszpS8yTpDQsIhOFuOZbZ7IOZ2Fn0U40WhuRuT0TFWb3a+VVmCuQuT0Tdoc9IPF9\n/nUx1v3ziKQ9KT4aSx6bhMhuvKGCSE6R3cJxy8REl7baegu+zFPPrY/BnieJiNqTKvTGvBnDJO3v\n/fsYDogXunx+5kkidZiUEo/fPTkFUYYISd/W3aewbEMuGixcaqEzmCdJDVh9IQphLrfONNbCGGFE\nuCYc9dZ6r8fVWeqQXZyNqUlT/Rrf7kMlWL3poKQ9oZcRLy1IQ3c3gxsiCrxZUwZiy66TLrc//iu7\nEDPTkhS/Vnmw50kioo6aO30oxOJy5B+7UjR2OICV7+Tj1Z9NRW+ToVPnZZ4kUpdhSbFY/vT1+PW6\nfbjQZp+LvYdL8eKaHPzqkYluC83kHvMkqQVnIhMFSNsrj3Ivli+5dcZuQaW5EmX1Zai11Ho9trax\nFqU1pX6NL6/gPF55Nx9t75jqGROJlxZMhilK79fnJ6KO6xNnxIQRfVzaSi7W4JvjVze7jXmSiMi7\nruRJrVaDn/2/sehtinRpr65rxLINubBYrz7nMk8SqVO/3lFY+XQ6khN6SPqOnirHotXZkgJzsOB4\nksh/OBOZKADcXXk06oxYOWOlLIvl2+w2r7fOtMcYYUR893gfR3XF4ZNlWLp+P6w21wpyTFQ3/O6J\nyZ2eKUNE/jM7fRD2HfnBpW1LdiHGDrumQ8czTxIReeeLPBltjMAvHhqP51fthtV25Rbp46cr8dct\n3+GJu0Z1OB7mSSJ1M0XrsXThFPz+rVx8c/yiS9+Z8zXIXLULSx5Pw8C+0kKzXDieJPIvzkQm8jNP\nVx5LqktkWyw/+3R2u1c9vTHqjEhPTPdhRFecOFOBl//6NRqtrms/GSN1eGl+Gvr26u6X5yWirkkZ\nFIeBfaNd2g4cu4Az56vbPZZ5kojIO1/mySH9TZh/50hJ+7Y9p7DzwNkOn4d5kkj9DHodXnh0Em4e\n11/SV17VgEWrd+NQmwKzXDieJPI/FpGJ/Ki9K49yLZZfWl2K2sbOvZmZ9CasmLECWo3v00fxD1X4\n9dq9qG+wurTrI8Kw5PFJQXWVm4hcaTQazE5PlrRv3V3o9TjmSSIi7/yRJ2+dlOi2KLR600EU/1DV\noXMwTxKFBl24Fs9mjMGcaUMkffUNVix5cy925su7oTLHk0SBwVcjkR915Mpj82L5gRQfFQ9jhNHr\nYwzhBvQ09IRJb4JOq0O0LhrXRF6D12e97pdbgUrLavHimhxU11lc2nXhWvzqkYkYlhjr8+ckIt+6\nYUw/9OjuusnKF3lnUFPX6PEY5kkiIu/8kSc1Gg2evHsUkuJd7yBpaLRh6fr9qDNbPBx5BfMkUejQ\naDR48LZr8eTdo9B2z2SrzYFX3juAD788AYfD4f4EfsbxJFFgcE1kIj/qyJVHORbLTx+QDqPOiEpz\npcfHxEbG4tSzp7Dn9B7kiXmI0kRhSr8pGHHtCJ/HU1ZZj1+tyUF5VYNLe5hWg188OB6jh/Ty+XMS\nke9F6MJw66QkbNxxvKWtodGG7V+fxl03DXZ7DPMkEZF3/sqT+ohwLH5oPJ579T+oM1+5C6zkYi3+\nvPEgFj04DhqNxuPxzJNEoee2yQNhitJj5Tt5kuUH1287irLL9XjsxyMR1rbS7GccTxIFBmciE/lR\nR648yrFYfpg2DCtnrIRJb3Lb33zrTLg2HFOTpuK2AbdhbNxYv9xKc7mmAS+syZHs7qvRAM/NS8WE\nEX18/pxE5D8zJydJPjhs21MIm8397YPMk0RE3vkzT/bt1R3PZoyRtO/59hz+ucv7ckTMk0ShKW1k\nPH77xBREGXSSvq27T2H527lotNgCGhPHk0SBwVcmkR81X3n0Rq7F8jNSMvDarNeQEJUAk96ECG0E\nTHoTEqISAnbrTG29BS+u3YuzF2okfQvvHo2pqf38HgMR+VZcj0hcPzrBpe1CRT2+/u4Ht49nniQi\n8s7feTJtZF/cdaP0bpH1W7/Dd4WXvB7LPEkUmoYPjMXyp9PRO9Yg6cv5thQvrt2Lai/Lmfkax5NE\ngcHlLIj8qPnK48JtC90u8i/3YvnzUuZh7oi5yC7ORmlNKeK7xyM9MT0g8ZgbrPjNm/tQWHJZ0vfT\n20fg1rQkv8dARP4x+4Zk/Oebsy5tW7ILMXlUX8ljmSeJiLwLRJ588LbhEE9XuBSNbXYHlr+di1d/\ndiNMUXqPxzJPEoWmfr2jsPLpdCxx85nuu8JLWLQ6G0seT0Nvk7TQ7GscTxIFBovIRH6WkZIBBxzI\n3J6JOksdahtrYYwwwqAzYOWMlbJfedRqtJiaNDWgz2mx2vB/6/ejoKhc0jf3lqEe104lImUYOsCE\nYYkmHCu+Moj/rvASCksuIzmhh+TxzJNERN75O0+GhWmx6IFx+O8/7ERF9ZU9KsqrGrDi7Xy8vCAN\nYWGeix3Mk0ShyRStx9KFU/D7t3LxzfGLLn1nztcg88/ZWPL4JAzsKx3/+RrHk0T+xyIyUQDwyuMV\nNpsdK97JlwwyAOCO9GTc96NhMkRFRL42O30QjhXnubRtyT6JZzNS3T6eeZKIyDt/50lTtB6LHhyP\n//3LHtjtjpb2wyfL8PanBXj4dm7yRERSBr0OLzw6Cas3HcSXeWdc+sqrzFi0ejd++fAEjB7q/83S\nOZ4k8i8WkYkChFceAbvdgT9/cBB7D0t3xZ02vj8em53idRdwIlKOtFHxiOuhx6XL5pa2/xwowcOz\nRiAmqpvbY5gniYi883eeHJEch4dnXYu//es7l/YPv/oew5JiMSklsJtSEZEy6MK1eDZjDOJ66LHp\nixMuffUNVix5cy/+OyMVNwZgzxuOJ4n8R1VFZEEQYgAsBpAMoBxALIDPRVFc24lz5QNYBKBQFEXv\nWxNfOeYeAAsArAFQ6PwPAKY72xeJonjgamMhUgOHw4F1Hx+WXJ0GgCmj+uLpOddBq2UBmUgtwsO0\nmDVlIDZ8UtDSZrXZ8eneIsybIcgXGBERefWTqYNQUFQuuej/atYB/OG5qejbs7tMkRFRMNNoNHjw\ntmvRMyYSa/7xLVrd0ACrzYFX3s1H+eV63HnjYE4cIlIo1RSRnQXkfADLRFFc1Kr9c0EQxoqiuOAq\nT5kK4HPnObw97hZRFHc4/z8WTQXj6W4et4AFZAplb39agK17TknaU4f1xs/vG+t1nT0iUqYfTUrC\n+9tFNFrtLW2f5pzCPTcPgS6cf/NERMFIo9Hg2YwxKC6twrmy2pb2WrMVS9fnYsUz6dBHqOZjJBH5\n2G2TB8IUpcfKd/JcxoAA8PetR3Gxsh6P/XgkwjiBiEhx1PQJbh2aZg23nXU8B8B85yzhDhEEIblN\nU6Wb/wBgR6sCcrMDrfoLAWwGMKgzs6GJ1OLDL09IbmsCmm6ZXPzQeBaTiFQq2hiBG8f2d2mrqG7A\n7kMlMkVEREQdYdDrsPjhCYjQhbm0F5VW4Y1/fAuHw+HhSCIiIG1kPH77xBREGXSSvq27T2H527lo\ntNhkiIyIukIVl5Cds5Cbl5JwIYpipSAIO5x9mzt4ymQ0LT2x3Mtzfo6mAnVbS0VR7OjzEKnepzmn\nsH7bUUn74H498MIjE0NiJovNbkP26WyUVpciPioe6QPSEaYNa/9AIhWYnZ6M7V8Xu7RtyS7Ejan9\neCsjtWCeJAo+SfHR+K85o/GH91xvpvwi9wyGJ8XhR5MSZYosdDFXkpIMHxiL5U+n49fr9uFCeZ1L\nX863pbhcsxe//OkERBkiZIqQ1Ih50r/UUr251/nV09rFhQDmX8X5UuGl4CwIwvMA1oiiWOnpMUQE\nfJV/Bn/5x7eS9v7XRGHJ42kwRkqvTKtN1pEsZG7PRK2lFrWNtTBGGGHUGbFyxkpkpGTIHR6R3yXG\nR2P0kJ44dKKspe37M5U4VlSB4QNjZYyMggXzJFHwumlsfxQUlePTnCKX9jUffYtBCT0wuH+MPIGF\nIOZKUqJ+vaOw8ul0LHlzHwpLLrv0fVd4CYtWZ2PJ42nobTLIFCGpCfOk/6nlHvJbnF89FZFPAoAg\nCO7WKnbngKfN9JxLXQzibGMi7/YdKcWr73+Dtnc79okz4OUFaejRvZs8gQVQ1pEsPLXtKZRUl6DS\nXAmL3YJKcyVKqkuwcNtCZB3JkjU+m92GnUU7kXU4CzuLdsJm5y1l5B+z0wdJ2rZkn5QhEgo2wZ4n\nAeZKosd/nIIhbYrFFqsdSzfkorquUaaoQkuw50rmSfLGFK3H0oVTMGZoL0nfmfM1yPxzNk6du+zm\nSKKOY54MDLXMRG5ew7jcQ3/zjOFUAG3XMJZws85xa2vgfhmLFoIgzAfQ/Ik5BkA+10SmUHLw+AUs\n25AHu921ghwbrcfLCyYjrkekTJEFjs1uQ+b2TFSYK9z2V5grkLk9E3NHzIVWE/jrebxKS4E0bvg1\niI8zovTSlQ2acg6X4mJFPXqZ1J8PyL1gz5MAcyURAOjCw/CLB8fj2T/uRHWdpaX9Qnkd/vDeAbzw\nyERouUGW3wR7rmSepI4w6HV44dFJWL3pIL7MO+PSV15lxqLVu/HLhydgtJtCM1F7mCcDRy0zkWOA\npvWP23lcXFeepIPLWCxG0wZ/i5z/LQAwRxCETV15biKlOFZUjt/+fT+sNtedeKMMEXh5QRr6xBll\niiywsk9no9ZS6/UxdZY6ZBdnByiiK4L9Ki2pj1arwe3XD3Rps9sd2LbH0w1EFAqCOU8CzJVErfWO\nNeDn941F26Xs8wrOY9OXx+UJKkQEc65knqSroQvX4tmMMZgzbYikr77BiiVv7sXOA2dliIyUjnky\ncNQyE7m9RRWbZyh3etEu5+Z9c0VRHOvlYXkA8kRRPNCmfRGAfEEQ7vHHMhgFBQW+PqWL+vr6lq/+\nfi4KTh19DZy7ZMaabWfR0OhaQNbrtPjpjD6orShBQUWJX2MNFnmn81Db4P2NrKaxBnliHnrX9w5Q\nVE1XaZ/75DmvV2mf++Q5jNKOarlKq5Yc4M/Y1fIz8qf+PWzoptOiwXIlP3ySU4gxiUBEuPKvafM1\ncPWCNU8CV58r1fL7Z54kbwwApo+Jw+cHLrm0v/vpMegd1Rjaz/tEAb4GOidYcyXzpO+p5WfUnvED\nNbBO7o2P915wWfrQanPglXfzUXCiGFNHmkJyA+ZQeQ34GvNk4KiliBwIi9HOUhhuisct7YIgVAJY\nBi8b9nVWXV1d+w/yAYfDEbDnouDk7TVQVmXB3z6/iPo2BeTwMA3mTY1DrMEeUq+fKERBH66HxWLx\n+JjIsEhEaaIC+nPJK8tDndX789Vb67Hn7B6MjXO9Zqb0HBCI2JX+M/K36wYa8PXxmpZ/1zfYse9o\nGcYN7i5jVL7F10DHBWueBDqfK5X++2eepPakCXqcKu2G70sbWtocAN77qhQLbu2NHsb2P17yNXB1\ngjVXMk/6j9J/Rh0xOikCEWFx+DDnEqxtlob9ZH8ZyirNuDW1R8gulRMKrwFfYp4MHLUUkcvhfZZx\n80zl9pa78OZ5AN5mIbenEECqIAjJnjbt6yyDwb87mdbX18PhcECj0SAykmtXKp3NbkN+WT4umi+i\nl74XxvYcizBtmNdj2nsNVFRb8PZXP6CuwbWAHKYFHrqlL4R2Zqao0ZR+U2A4ZEC1pdrjYyLDIzGl\n35SArstUjWqYrWavj6m31aPaUd2SWwKVA/z9RunPXMk82TFTR4dj//EatF4tPfdEHdJH9gqq2Sb+\nyBw7NZwAACAASURBVJMkFax5Erj6XMk82T7+jajHfdP0+NNHxaistba01TXY8WFOJZ64vT/Cw9zn\nc74GOidYcyXzpO+F2t/IWMGAuBgD1m8vkXyO3H+8BvWNQMaNfaBT6B1rHE8GDvPk1elKnlRLERlA\n05ITHVgXuTPnvQfwPNO4g5qX1EhGU0HZZ4YPH+7L00kUFBSgrq4OkZGRfn8upbPZbcg+nY3S6lLE\nR8UjfUB6u28UgdTZBd29vQYqqsz442u7cbnVBwkA0GqAzAfGY8qovn75XpTgVcerWLhtodvbV0x6\nE1697VWMuHZEQGM6H3kexoNGVJo9p8ruEd0xThiH4UlNv+tA5YD8/Hy/nRvwb65knuy4r76rR+7R\n8y3/Pl/RiMbwnrhuaGCXK/DEH3mSPAvGPAlcfa5knmwf/0Y6Tgnjya8NqzCk9mfQQtfSfvqiGTkn\nrFhw5yi3x/E10HnBmCuZJ30vFP9Ghg8HRl47BL9euxcXKupd+g4X1cC+qwK//OkERBkiXPqUkCc5\nngws5smO60qeVEsRufk3Egv3s42bZymf7OT553o4bwtBEOajabmKOaIoelv2otPrMlNwC/YdN5sX\ndG+dVCvNlag0V2LhtoVwwIF5KfOu6pzVdY14YU0OSsuk6w89M3dMSBeQASAjJQMOOJC5PRN1lrqW\n14VBZ5DtdZE+IB1Gnfc3MqPOiPTE9ABGRaEi60gW3jv/JobgGZf2Nz7ZjTeG3iVTVFf4I0+Sd8GY\nJwHmSpKPYsaTDRVo0L+JUeYnXfq37j6FYYmxmJraT6YI1SkYcyXzJPlKv95RWPHMDfjNun0oPHfZ\npe+7wktYtDobSx5PQ29T0yxwxeRJjicDinkyMNRSRN4BIBWeC7Rxzq95nTz/PQDam4U8x/n8qXC/\ndnLzkhpdmc1MQSrY3yhsdhsyt2d6XdA9c3sm5o6Y2+HbO+rMFixZtxfFP0hvGZn/k5GYNn5Al2JW\ni3kp8zB3xFxkF2ejtKYU8d3jkZ6YHvBbs5uFacOwcsZKr1dpV8xYIVt8pF4tebKxAtdof4xoe2JL\nX8mZMKzZ8z4WTJFv4O+PPEkdE2x5EmCuJHkobTx5WvdvxNqGoZ/lJpfHrfrgIJL6RiOxT7QcYapW\nsOVK5knypdhoPZY+NQVL38rFweMXXfrOnK9B5p+zseTxSdhX/omi8mRbHE/6F/Ok/yknUu82Or8m\ne+hPBjq3HIUgCJ7O2dYBAAtEUVzuoT/VGYNPl7Ig+XX0jcLusLvtD4Ts09motXjfrbTOUofs4uwO\nna/BYsNv/7Yfx09Lr6jdP3MY7kjv6J9NaNBqtJiaNBUZKRmYmjRV9jeJjJQMvDbrNSREJcCkNyFC\nGwGT3oSEqAS8Puv1oLiCT+rikic1QFHEVslj/vbvr1WVJ+nqBFueBJgrKbAUOZ7UAN/q/4IqbbHL\n4xosNixdn4s6s+cNjqhzgi1XMk+SLxn0Orz46CTcNFZ6J0N5lRmLVu/Gb7a8qaw86QbHk/7FPOlf\nqpiJLIriAUEQKgHcAmCzm4fcA2Bt20ZngXgBgDVeirvNs5vLPfQ32whgursOQRCa2xe1cw5SoKt5\no5iaNDVAUbkqrS5FbaP3GGsba1FaU9ruuaw2O5ZtyMXhk2WSvrtuHIx7pw3tdJwUOMF2lZbUrW2e\nPKv7D4Y1PIAIx5VZanF1E7Hj+C7MEG6UIULf5klSD+ZKChSljiftmkbkRy7D9bUrocOVDcdKLtZg\n1QcH8fwD44Jq41TyPeZJ8iVduBbPzUtFz5hIbPrihEtffYMVgxoWojrSinO6XW6PD8Y82RbHk6FH\nTXlSFUVkp8cBrBMEYVHrzfWcaxVXwn0BdxmaCszJaFqOwp0OTal0FrIXC4KQ6mbG8zIAhV5mKZOC\nKeGNIj4qHsaIdtbiiTAivnu81/PY7Q788b0DLptiNZuZloSHb7+WHxQUpPkqLZG/tc2Tdk0jinXb\nMaTxnpa2MEckcg5exAxBjgh9lydJfZgrKRCUPJ6sDTuHQ5F/xrj6X7i07z50DsOTCjH7hkGBDJNk\nwDxJvqTRaPDgbdcirkck1nz0LRyOK31ahCO1/mfQ22NRGPEx0OajZ7DmydY4ngxNasmTyit7eyCK\n4mYASwF8IQhCqiAIMc4C8iIA01oXllvZiKYC80Y3fc2a1zL2urGeM4Y5ABYLgrBMEITpgiDMFwQh\nH00FZI6eVKr5jcIbud8omhd096a9Bd0dDgf+sec8dh0skfRNHdMPT9w1igVkInLLXZ4sjvgUdthc\n2r4/pofN7oAcfJEniYg6S+njyR90+3Ay4iNJ+9/+9R2Onrrk79CISIVmTRmIxQ+NR0S4tGx1bcPD\nGNHwKOBw7QvmPNmM40lSMtUUkQHAOdN3GoBxAOYDKBdFcZCntZBFUdwsiqLJWYD2dM61aFryokNL\nUTgLyWvQNIO5HMAcZxuplBLeKJoXdDfpTW7721vQ3eFwYPs3l7FfrJL0TRzRB8/OGwOtlgXkYGWz\n27CzaCeyDmdhZ9FO2Oy29g8i8iF3edKsvYTS8ByXtstVduQd/SGQobXoap4kZWOeJLmpYTz5Q4+t\n6HWN69+Oze7Asg15qKxuCESI5EfMkySHtJF98dsnpiDKoJP0DWy8A6n1P4fWcaUv2PMkx5PqFgp5\nUk3LWQAAnDOOJesfd/GcV3U+5/rKPo2BgpdSdtzMSMmAAw5kbs9EnaUOtY21MEYYYdAZsHLGSq8L\nun9xsBx7j9VI2kcN7onnHxiH8DC+CQarrCNZyNyeiVpLbcvv3Kgztvs7J/IlT3nyVMRWJFhdB/pb\nsgsxMUWeGSRdyZOkXMyTFAzUMp6cMeA2/PcfdroUjcurzFjxTh7m3eC+qEL/n707j2+qyv/H/0rS\nlLZpKaFspUBLWS7SilDWArE6Ki4so84orRvqB8QvjPMZHSv6U5GRmUFonfHjgDOAGy5THXcUR3Gr\nBNnLWpawlBYoZSnd04Zm+/2RAr296Z7k3iSv5+PRR+Wcm5s3mL7u7bn3nqN8zEmS01UDu2Pp7wxY\ntHozzpXXifr62iahS2037Ij4KyLDQ/0iJ/kzE5iCJScDbhCZSA7+cqDoyITuazccw/o86WOIQrwe\nzz08HqFajTdLpk7Iyc/B/HXzRb+MVlgqUGGpwLx18+CEExnJGTJWSMHEXU6qdOdgthZCZ024vN3e\no6U4froSA/tGy1JnIC18Qa1jTpKSBMr55IL7x+DZf22Co9H0RHuPliJG50BaUkRzuyWFYk6SEvTv\nHYWs31+LP63egoLTlaK+GHsSrq3LRsYteqQnz5SpQjGeTwaXYMpJDiITeYi/HCjaM6H7d1uLsPqL\nfEl7QmxXLJo9AeFdGCFKZXfYkbk+0+3dTABQbilH5vpMzEyaqbjPKAUudzlpvzAQf//3LtF2XxoL\n8PuZo2SqMnAWvqCWMSdJiQLhfDJ5UA/Mum043vpqv6j9pz1l6B2tQspQDiT7C+YkKUn3rmFYMn8S\nlqzZjt2Hz4v6wm2x2PBtGH41QL4bEZri+WRwCLac9P+/AZGCXDpQpCenIy0hDWqHE8jNBXJyXN/t\n/jMnzsY9xVj+0W5Je1xPHV6cm4rIiFAZqqK2Mp4wwmxteZX3WmstjEVGH1VE5NI0Jw3JsejeRTyn\n+s87T6GyhvNnkncxJ0mpAuF88o7rBiH1aunURJ9tLsOFqnoZKqKOYE6S0kSEabHwfybg+tH9JH1l\nVRY8/cpP2PPx936RkxQYgi0nOYhM5C05OUB8PHDHHcCsWa7v8fHABx/IXVmrdhw8i5ffz0OjpxAB\nAN10IXhx7kToo8LkKYzarKS6BOb6lg9m5nozSmpKfFQRkRs5OdAOGojbNonXt623OfDtliKZiqJg\nwZwkv+Cn55MqlQr/O3MUYnuIFwu8aHXi3R9KcNHKAR5/wJwkJdKGqPF4RgruumGIpK/WrsKijZX4\n2XCn4nOSAkOw5SQHkYm8IScHmD8fKC4GKioAq9X1vbgYmDfP1a9Q+46VYsnb22Czi0eQdWFqzLmt\nH3rp+QiiP4iNioUutJVV3kN1iI2UZwEzosY5ecu2L6C1ie9M+/r7/bDZHTIVR8GAOUmK58fnkwCg\nC9fimVljJetnnL5wESs/3StTVdQezElSKpVKhQduG45HB9RD5RSfL9o0IchOfRifvrYWzn8rOyfJ\n/wVbTnIQmcjT7HYgMxModz8nDsrLXf0OB+wOO3ILc5GzLwe5hbmwO+S9K+PIyXIsfmMr6m3iA3F4\nqBr3X98DPaM5hYW/MAwwQKdt5WCm1cEQb/BRRUSNNMnJ6LoqpB3aINrkglWNTXuKFZeTFDiYk6Ro\nfnw+2djAvtGY/9trJO3fbTuB9Vv5xInSMSdJ0ex2TM16HM98uRShNuk0aG+NnYnVOVtht9kVnZPk\n34ItJ7kqFpGnGY2AueXHGVBbi+/XLMKD5W/CbDVfXn1bp9XJtvp20ZkqvLBqM+ou2kTtYaEaPHxL\nX/SMdDbzSlIijVqD7CnZmLdunttJ/vVhemRNyQqIyf3JD7nJyRk7v8L3yTeK2t79dAPuyV2gmJyk\nwMKcJEXz0/NJd341pj8OFpbhm82FovZ/fboXiXHRGNyvmyx1UeuYk6RoDTmZWrwVf/5oIRbf/iyq\nw7uKNvly6PU4+Jd38XHkItTYKhWbk+S/gi0nA+NvQaQkJSWtnvTba6rwwXd/Q3F1MSosFbA6rKiw\nVKC4uhjz1s1DTr5vH7spKTVj4cpNqK61itq1IWo89/B4xPcK92k95BnpyelYMXUF4qLioA/TI1Qd\nCn2YHnFRcXht6ms8aSL5uMnJgaWFSD6ZL2o7UxcJc3mEInKSAhNzkhTLD88nWzLn18no16OLqM1q\nc+ClNdtRU8uF9pSMOUmK1SgnryoxYekHz6BX5TnJZker9Oh/9hGY66yKzknyX8GUk7wTmcjTYmMB\nnc41Z10zqkIcONLF/S8G5ZZyZK7PxMykmT65WlVaUYfnVm5CWZX4ESCNWoWnHxiLa4b0xMGDpV6v\ng9yzO+wwnjCipLoEsVGxMAwwQKPWtP7CBhnJGZiZNBPGIiNKakoQGxkLQ7whYK6Ekp9qJidn7PoS\n+f2TRW0D66djV8jfRG2+zklSNuYkBSQ/O59sTahWg/tu6Iv/+6wIdfVXpk07W1aLv+XsxHMPjYda\nrZKxwsDGnKSA1CQn+5cXI+uDBfjTHc+joFeiaNMYexImmpdga8SLsKhdv9sqLSdJXszJtuEgMpGn\nGQytnvTXagHjgOZ3UWuthbHIiLSENC8UeEVlzUU8v3ITzpXVitpVKuDxjBSMS+rj1fenluXk5yBz\nfWanH1FVq9Re/ywRtUszOTnu2Hb0qjyLc9G9L7fF2ibioONtWNRlom19lZOkbMxJClh+dD7ZVt2j\ntLhzYnf8O7cUjSdJ237gLD7+8QjuvnGobLUFMuYkBSw3OdndXI4l/3kWS6YtwO6EkaLNoxwDMNm8\nFFsjXkS1xjUnu9JykuTBnGy7wBoSJ1ICjQbIzgb0erfdF7vq8NQUFZwt/PSZ680oqSnxUoEN71Fn\nxcJVm3HqXI2kb95vrkFaSj+vvj+1LCc/B/PXzfeLR1SJ2q2ZnNQ4HZi+a52oTY0QxNffItmFL3KS\nlI05SQHNT84n22tI3zDcMKq7pP39bw5iz+HzMlQU2JiTFNCaycmI+jos/PzPuPaIUfKSMGcMJpr/\nihjb1QCUmZPkW8zJ9uEgMpE3pKcDK1YAcXGug1poqOt7XByO/vkJfD2ma4sv14XqEBsZ67XyLBdt\n+NPrW1BQXCnpe2haEm5JTfDae1Pr7A47Mtdnup2YH7jy6JXD6XDbT+QXmsnJG8sOIFQlXjF7gPVm\nqJ2hojZv5yQpG3OSgoLCzyc76sZRMRg1tKeozeEEst7fgdKKOpmqCjzMSQoKzeSkNrY3br0xAicj\nvpS8RAsdxtcuRF+rQbE5Sb7BnGw/DiITeUtGBnDiBPDZZ8CaNa7vJ05g2PwXoNPqWnypTquDId7g\nlbKsNjv++vY2HCwsk/TNvGko7rx+sFfel9rOeMIIs7XlxXQuPXpF5Nfc5GTkMRNuTBXPY9fFGY04\n67WiNm/mJCkfc5KChkLPJztDrVbhj/eORo9u4oWbK2vqsfSd7bDa+Mu6JzAnKWg0k5NX/e4FlOq/\nwb6wlXBCnCtqaJFS90ckWGZg8oDJMhVOcmNOth8HkYm8Sa0G0tJcV0jT0gC1Ghq1BtlTsqEPc/94\noj5Mj6wpWV6ZgN1udyDrvTzscvO44HRDIu69eZjH35Par6S6BOb6lg9mfPSKAoabnJxuGCTZbGD9\nNFyaRNObOUn+gTlJQUVh55OeEB3ZBc/MGosQjXgxvUNF5Xjrq/0yVRVYmJMUVFrIyaquW5AXvhR2\nXJS8LK7qDryx9gDsDqebnVKgY062nzLPKogCXHpyOlZMXYG4qDjow/QIVYdCH6ZHXFQcXpv6Wrsm\nb28rh8OJV/+zG5v3SQPwhrH9MXtGMlQqroqtBLFRsdCFtnJ3ER+9ogDWr1cURg/rJWrr6khAgibV\nqzlJ/oM5SSTP+aQnDR2gx+xfXy1p/9JYgA27TslQUWBhThJdyUlN91PY3y0bVpV0PaAvjQXIencH\n6q12N3ugQMacbL8QuQsgClYZyRmYmTQTxiIjSmpKEBsZC0O8wSt3jDidTqz+fB9+3HFS0jdpRF88\ndtdIqNUcQFYKwwADdFodKizNr8iu1EdUiTxlxrWDkHfonKjtdv2zeHn+rYq9s458hzlJ5OLL80lv\nuG1iAg4VliF3p3jQ+B//2Y2BfaPRv3eUTJX5P+YkkUvjnDx06gw2fK9CVbX4zuNf9p5GRc1FPPfQ\nOERGhDazJwo0zMn284+zC6IApVapkZaQhvTkdKQlpHnthP/d/x7EV78cl7SnDOuFP947GhoNo0BJ\n/P0RVSJPGDW0J/r3jhS1HSu04VwZF10i5iRRY746n/QGlUqF+b+9BgP6iAeLLfWuNTxqLVaZKvN/\nzEmiKy7l5NzJM/GPJ6YgsW+0ZJv9BRfw1PKNOFdeK0OFJAfmZPvxX4IowH3y4xF89MMRSXtSYgye\nmTUW2hDGgBL5+yOqRJ2lUqkwfbJ4gT2nE/hqo/SCGAUn5iRRYAjrEoJnZo1FeBfxQ7KnztVg+Ud7\n4HRyrtKOYk4SSXXvGoYl8ydh5JCekr6TZ6uR+aoRx09XylAZyYE52T6czoIogP1303G8ve6ApH1w\nv2g8//B4hIUyApTM3x9RJeqs60f3x5qvD8Jcd+VOtO+2FeGemwVEhGllrIyUgjlJFBj69YrC/84c\nhZfe2S5qN+4uxrAEPWa4WXCV2oY5SSQVEabFwtkT8Op/diE3TzydTlmVBU+v2Ij/78FxuMbNQDMF\nHuZk23EEiShA/ZR3Ev/8dK+kvX/vKCyakwpdOAdg/MGlR6+IglFYlxDcPD4en+YevdxWa7Hhh+0n\nMd2Q2MIrKZgwJ4kCw6Rr+uL2tEH4/OdjovY31+7H0P56DEvoLlNl/o85SSSlDVHjiYwU9IgOx8c/\nip/crbXYsGj1ZvwhPQVpKf1kqpB8iTnZNhxWJwpAW/JL8MoHu9D06b8+MRFYPDcV0ZFd5CmMiKid\npk4aiKbrfn61sQAOBx9vJiIKNLOmDsfwgeLBYrvDiZfe2Y6K6osyVUVEgUqlUmHW1OF49I6roWpy\nvmmzO5H9fh4+yz3KaXWIGnAQmSjA7D58Dkvf2SEZYOneNQyL505ETHS4TJUREbVfr+4RmHB1rKjt\ndKkZeYfOylQRERF5S4hGjafuH4NuUeIbHi5UWpD13g7YeQGRiLxg6uREPDNrLELdrBf05pf78foX\n+byBgQgcRCYKKIcKy/Dnt7bBZneI2qMiQrF4bir6xOhkqoyIqOPczYW51lggQyVERORtMdHheOr+\nMVA3eQxl79FSvP/NQZmqIqJAl3p1Xyx+dCIi3Uz7uNZYgGXv7UC91S5DZUTKwUFkogBRUFyJRa9v\nwcV68YEtIiwELz6SigF9uspUGRFR5wwf2B2D+kWL2nYfPo8TZ6pkqoiIiLzp6kE98MCtV0naP/rh\nCLYdOCNDRUQUDIYPjMGyxwzopZc+vfvLntNYuGozamrrZaiMSBk4iEwUAE6dq8bCVZtgrrOK2kO1\nGiz8nwkY3L+bTJUREXWeSqXCDDcL6X258bgM1RARkS/cef1gTEjuI2n/27934swFswwVEVEw6N87\nClm/vxaJfaMlffsLLuCp5RtxvrxOhsqI5MdBZCI/d66sFs//axMqa8RXREM0Kjz74DgkJcbIVBkR\nkecYRsZJ5sj8ccdJVPNuECKigKRSqfCH9BTE9hBPx2aus2LJmu24yMfKichLuncNw5L5kzBySE9J\n38mz1Xjy1Q04frpShsqI5MVBZKLOsNuB3FwgJ8f13e7bk9nyKgueW7kJpZUWUbtaBTx53xikDOvl\n03rI9+wOO3ILc5GzLwe5hbmwO/gLFSmMh3JSG6LBrakJorZ6qx3fbinqdIkU2JiTpHgyn08qmS5c\n61rsSqsRtRcUV2Llp3tlqirwMCdJ8WTIyYgwLRbOnoDrRveT9JVVWfD0io3Ye/S81+sgZWBOuoTI\nXQCR38rJATIzAbPZ9aXTub6ys4H0dK+/fXVtPZ5fuQklpdLH+X4/cxQmjejr9RpIXjn5Ochcnwmz\n1QxzvRm6UB10Wh2yp2QjPdn7n0GiVnk4J29NTcBHPxyGzX5ldex1vxzHHWmDoNHwujhJMSdJ8WQ+\nn/QHA/tGY95vRuCVD3aJ2r/bdgJXJXTHTePjZaosMDAnSfFkzEltiBpPZKSgR3Q4Pv7xiKiv1mLD\nC6s24/GMFFw7SjrQTIGDOXkFB5GJOiInB5g/Hygvv9JWUeH6mjcPcDqBjAyvvX2txYpFqzej6Ey1\npO+R26/GDWMHeO29SRly8nMwf918lFuufAYrLBWosFRg3rp5cMKJjGTvfQaJWuWFnNR3DcO1o/rh\nxx0nL7eVVtRhc34JJl8T56nKKUAwJ0nxZD6f9Cc3jB2Ag4VlkqdP/vXpXiTGRWNQP67/0RHMSVI8\nBeSkSqXCrKnD0SM6DCs/3wfnlXsZYLM7kfVeHi5UWnB72iCoVCqv1kK+x5wU4207RO1lt7uuhDY+\nkDVWXu7qdzi88vYXrXb85a1tOHyiQtJ3363DMN3N4lMUWOwOOzLXZ4oOZI2VW8qRuT4TDqd3PoNE\nrfJiTrrLuLUbCtq9HwpszElSPJnPJ/3RI7dfjcH9xAtd1dsceOmd7ajh/PjtxpwkxVNYTk6dnOia\nXidEOoz25pf78foX+XA4nG5eSf6KOSnFQWSi9jIaXY/RtKS21rWdh9nsDix9Zzv2Hi2V9N153WDc\nfcPQDu2X8/v4F+MJI8zWlj+DtdZaGIs8/xkkahMv5uTgft0wfGB3UdvBwjIcPSm9sOZJzEn/wpwk\nxZPxfNJbvJ2ToVoNnp41DpHhWlH7mQu1+HvOLg7etBNzkhRPgTmZenVfLH50oiSHAGCtsQDL3tuB\n+lYW/eQ5pf9gTkpxOgui9iopaf1gZja7tvMgu8OJv/97J7YfOCvpuzU1AQ9OG96hx2c4v4//Kaku\ngbm+5c+gud6MkhrPfgaJ2szLOTnDMAgHjpeJ2tYaj+GJe0Z3aH+tYU76H+YkKZ5M55Pe4quc7N09\nAn+8dzT+9PoWUfu2A2fwyU9HcFcHb6gIRsxJUjyF5uTwgTFY9pgBi1ZvxrnyOlHfL3tOo6L6Ip57\naBwiI0Ilr+U5pX9hTkrxTmSi9oqNBSIiWt5Gp3Nt5yFOpxOvfbwHG3YXS/rSRvXDo3eO6PAA8vx1\n81FcXYwKSwWsDisqLBUori7GvHXzkJOf44nyycNio2KhC9W1uI0uVIfYSM99Bonaxcs5OSG5D3rq\nw0Vtxt3FKKuydGh/LWFO+ifmJCmeDOeT3uLrnBxzVW/MvEk6WPzefw9iz5HzHn2vQMacJMVTcE72\n7x2FrN9fi8S+0ZK+/QUX8NTyjTjfZICZ55T+hzkpxUFkovYqLgaqpQvaieh0gMHgkbdzOp1488v9\nWL+1SNI3PqkP/pAxCmp1+weQOb+P/zIMMECnbeVgptXBEO+ZzyBRu3k5JzUaNaZOHChqs9md+O+m\nwg7trznMSf/FnCTF8/H5pLfIlZMZU4Zh5NCeojaHE8h6bwcuVNY18ypqjDlJiqfwnOzeNQxL5k/C\nyCE9JX0nz1bjyVc34PjpSgA8p/RXzEkpDiITtUdODvDYYy1P3q/XA1lZgNozP14ffn8Yn/98TNI+\nYnAPPHX/GIRoOvY+nN/Hf2nUGmRPyYY+TO+2Xx+mR9aULKhVjHiSgY9ycsqEeIRqNaK2bzYXwmrz\n3LxyzEn/xZwkRZPhfNJb5MpJjVqFJ+8djR7dxE+lVNbUY+k7O2CzcyCmNcxJUjQ/ycmIMC0Wzp6A\n60b3k/SVVVnw9IqN2Hv0fJuzMu98nrdKpQ5gTkoFz9+UqLNaWx0WcB3Ali8H0j0zn9HaDcfw/jeH\nJO1CvB7PPTxeMoDSHpzfx7+lJ6djxdQViIuKgz5Mj1B1KPRhesRFxeG1qa9xTi2Shw9zMioiFDeM\n6S9qq6i5iA27pNP+dBRz0r8xJ0mRZDif9CY5czI6sguefmAMQjTiJ/IOFpbhra/2e/z9AhFzkhTJ\nz3JSG6LGExkp+O2vhkj6ai02vLBqMzbvOdemrDxv4ZQ8SsOcFOPCekRt1ZbVYaOjgbg4j7zdd1uL\nsPqLfEl7QmxXLJo9AeFdOvfje2l+nwpLRbPbXJ7fh08FKlJGcgZmJs2EsciIkpoSxEbGwhBvCKor\noaQwPs7J6YZE/HdzoahtrbEAvxrTv0PzxDfFnPR/zElSHB/npLfJnZNCfHfMnpGMf322T9S+dkMB\nhsV3h2Gkf/w7yok5SYrjhzmpUqkwa+pw9IgOw8rP98HpvNJnszuxaUMXDI38DfarPgCaOUXVtKEo\nIwAAIABJREFUherQM0w6NQbJjzl5BQeRidrKh6vDbtxTjOUf7Za09+2hw4tzU92u9Npel+b3afGk\nv2F+H9MhU6ffj7xDrVIjLSFN7jKIXHy8inb/3lEYNbQndh2+ctdGQXElDhwvQ1JiTKf3z5wMDMxJ\nUhQf56S3KSEnb5s0EAcLy/HzrlOi9n/8ZxcSYruif+8or7xvIGFOkqL4cU5OnZyI7tFhyHovD1ab\neCqOgTXpcIbqcKDLm4DKKXmtTqvD6J6jYanz/ELR1HnMSZfgGzYn6qjYWNfE/S3xwOqwOw6excvv\n58HR5LjSo1s4Fj86EfqosE7t/xLO70NEHuejnGxsxrWDJG1fbJDOI98RzEki8jgZctKblJCTKpUK\nv7vrGgzoIx4srrtox5I121B30ea19yYiL/DznEy9ui8Wz52IyHCtpC+xfjpS6p6E2inu4zkl+Qt+\nQinw2O1Abq5rMv7cXNefPcFgaNvBrBOrw+47Voolb2+DzS4eQe4W1QV/eXQieukjOrxvdzi/D1GQ\n8uOcbCpF6IW4nuL33JpfgrNltR7ZP3OSKEgFUE56mxJyMqxLCJ6ZNRbhXcTrhZw8W4PlH+2G0ym9\n64+IOok52aykxBgse8yAnvpwSV9f2yRMsixGBPQ8pyS/w+ksKLDk5Lgm4TebXV86nesrO7vzk+5r\nNK79zJvnfpL/Tq4Oe+RkORa/sRX1TR570YVr8eIjqejbM7JD+20N5/chCjJ+nJPuqNUqTJuciJWN\n5sN0OIF1vxzHw9OTPPIezEmiIBNgOekLSsjJfr2i8PuZo7D0nR2i9g27inFVQndMm5zos1qIAh5z\nslX9e0ch6zED/vT6Fhw/XSXqi7YOwx26NzDztm6YmpzGc0ryGxxEpsCRkwPMny8+0FRUuL7mzQOc\nTiAjo3PvkZ7u2k9mJlBbe+WAGRHRqQNm0ZkqvLBqs+Rxu7BQDRbNmYCBfaM7V3crOL8PUZDw45xs\nyQ1jB+C9/x6E2XIlQ9dvLcI9UwSEdXIR0kuYk0RBIkBz0heUkJOTr4nDoWvLJdMavbE2H4P7dcOw\nhO4yVUYUQJiTbRYTHY6X5k/GX9/ehj1HSkV9lRVqfPxpPZJjqr3++z6Rp/ByBwUGu911gHF3pRJw\ntWdmAg6H+/72yMgATpwAPvsMWLPG9f3EiQ4fyEpKzVi4chOqa62idm2IGs89PB7D4nmyS0Qe4Mc5\n2ZrwLiG4aXy8qM1cZ8WPeSe98n5EFKACOCeDyYPThuOqJoPFNrsTS9/ZjsqaizJVRRQgmJPtFhGm\nxQuzU3FdSj9JX1mVBU+v2Ii9R8+7eSWR8nAQmQKD0dj6Cq61ta7tPEGtBtLSXAewtLQOP0pTWlGH\n51ZuQlmV+IRWo1bh6QfG4pohPT1RLRGR3+ZkW02dNBBqlbjtS2MBHE1XKSUiak6A52SwCNGoseCB\nMegW2UXUXlppQfZ7ebDzuEDUcczJDtGGqPF4Rgp+c/1gSV+txYYXVm3Bhl2nZKiMqH388yeQqKmS\nktYPZmazazuFqKy5iOdXbsK5Jos/qVTA4xkpGJfUR6bKiCgg+WFOtkefGJ0kN0+dq8Huw7yzg4ja\nKMBzMpjERIcj8/7RkouLu4+cR863h+QpiigQMCc7TK1W4cFpSZh7x9VQNckmm92BrPfysGFfM3d4\nEykEB5EpMMTGtm0F19hY39TTCnOdFQtXbcapczWSvnm/uQZpbh51ISLqFD/LyY6YYRgkafvCeMzN\nlkREbgRBTgaTEYN74v7bhkvaP/z+MLYfOCNDRUQBgDnZadMmJ+LpB8ZCGyIdjvtq63l8k1cBh5NP\nTJAyeWUQWRCEroIg/FMQhCMNXx8IghDfZJsbBEH4V8N2T3qjDgoiBkPbDmYGg2/qaYHlog1/en0L\nCoorJX0PTUvCLakJvi+KiAKfH+VkRyUPikFCbFdR285D53DybLVMFRGRXwmCnAw2v7l+MMa7ebrv\n5X/vxJkLrdxNSURSzEmPmDiiLxbPnYjIcK2kb4upBv/+sQT1VrsMlRG1zOODyIIgRAMoBDAXwKCG\nr7sBFAiCcMel7Uwm0w8mk+lRADEAlnq6DgoyGo1rlVa93n2/Xg9kZck+h5LVZsdf396Gg4Vlkr6Z\nNw3FnW7mSCIi8gg/ycnOUKlU+PW1iZL2rzYWyFANEfmdIMjJYKNSqfCHjBTExogHvcx1Vrz0znYO\n0hC1F3PSY5ISY7DsMQN66sMlfXuP12Dhqs2oqa2XoTKi5oV4YZ9LAewAMNdkMh0HAEEQBgJ4FMAn\ngiDMMZlMbzTaXjqa1kGCIHQD8AyAxIb9dgfwnclkWtWBff0WroHwlQAKGr4A4MaG9gUmk2mnN2ug\ndkpPB5xO12qwtbWuuZh0OiAiwnWgk3kVV3vDPEe73MzPOd2QiHtvHiZDVUQUVBSek55w7ah+eHvd\nAVTWXDnp/nHHSdx/23C3d3sQEYkEQU4Gm8hwLZ6eNRaZr25Avc1xuf3YqUqs+nwffnfXSBmrI/JD\nzEmP6d87ClmPGfCn17fg+OkqUd/+ggtYsGIjFs1OdTvQTCQHbwwijzGZTGMaNzQMJi8QBOFDAKsE\nQUCjgeQKT7xpw+BtHoClJpNpQaP27wRBGG0ymea2c5fd4RowvtFN39wWBpA9WQO1V0YGMHOmazXY\nkhLXXEwGg+xXQh0OJ179z25s3iddYOCGsf0xe0YyVE1n1yci8gaF5qSnhGo1uGVCAj78/vDlNku9\nHd9tLcId1/FpDyJqgwDPyWCUGBeN//eba/B/H+4StX+7pQjD4vW4cVx8M68kIreYkx4TEx2Ol+ZP\nxl/f3oY9R0pFfSfOVCPzHxuwaE6qZMo2Ijl44yd8R3MdJpNpZ8MA882CIMz28PuuBlDg5o7fuwA8\n0nBncXvtxJVB7gIAHwMY1MJdxd6ogdpLrQbS0lxXQNPSZD+QOZ1OrP58H37ccVLSN2lEXzx210io\nmy4dTUTkTQrLSU+7dWICNE1y9auNBbDbHc28goioiQDPyWB047gBuHmCdLD4n5/sdbtWCRG1gjnp\nMRFhWrwwOxWjBkVJ+i5UWrBguRF7j0qfaCbyNVl+yk0m090A9J5aUK/hDuDfAvjIzXtVAPgeriko\n2muJyWTSm0wmlclkGmQyme4ymUxuJ1b0Yg3k597970F89ctxSXvKsF74472jodHwYEtE5Ekx0eGY\nfE2cqO1ceR227j8jU0VERKQEj9x+NQb1ixa11dsceGnNdtTUWWWqiogI0IaoMfO6Ppg0XDqQXGux\n4YVVW7Bh1ykZKiO6whujV0sFQfgnAAiCsEMQhMPuNjKZTFkAjsM18NpZdzd8b27lnAK4n5bCk5RQ\nAynMJz8ewUc/HJG0JyXG4JlZY6EN4QAy+Y7dYUduYS5y9uUgtzAXdgcXk6HANcPNAntrjVxgj1rG\nnCQKbKFaDZ5+YCx0TebIL7lgxis5O+FwOGWqzH8wJ4m8R61S4aaR0fh1ak80ne3S1rDG0uc/H5Wn\nOGqzQM5Jj8+JbDKZjguCsEwQhP/gyuJyzW37iSAIxwH8p5Nve1PD9+Z+OzwGAIIg3Ggymb7v5Hsp\nuQZSkP9uOo631x2QtA/uF43nHx6PsFBvTElO5F5Ofg4y12fCbDXDXG+GLlQHnVaH7CnZSE/m4hcU\neIYO0EOI18NUVH65bX/BBRQUVyIxLrqFV1KwYk4SBYc+MTr88Z4UvPjGVlH71v1n8GnuUfz2V0Nk\nqkz5mJNEvjEpSY/hQxOQ/X4erDbxdGxvrN2P8xV1+J/pyZwWU4ECPSe9MorVsJDe3a1u6Np2J4DO\nrnRz6Xaj5gasL81rnALXtBJtJgjCIwAGNfyxG4C8ZuZE9loN5H9+yjuJf366V9Lev3cUFs1Jldz9\nQL5ld9hhPGFESXUJYqNiYRhggEatkbssr8nJz8H8dfNRbrkymFZhqUCFpQLz1s2DE05kJGfIWCGR\nd/zaMAjLisRLNaw1HsMf0lNkqsh/MCeZk0SBbOzwPph541DRIqwA8O7XBzB0QDeMGNyz1X0wJ5mT\nRN40cURfLI7sgj+/uVUy3c7aDQUoq7Tg8YwUhGqVmzvMycDLyUB5lr4bcHnu4ZbEtHO/z8C1UN6C\nhq+5AO4SBEEy77EXayA/syW/BK98sAvOJk/D9YmJwOK5qYiO7CJPYQTAFezxr8Tjjg/vwKzPZ+GO\nD+9A/Cvx+CD/A7lL8wq7w47M9ZmiA1lj5ZZyZK7PhMPJBcco8KSOiEVMdJio7eedxaiovihTRf6B\nOSnGnCQKTBk3D8PIIeLBYocTyHo3Dxcq61p8LXNSjDlJ5B1JiTFY9pgBPfXhkr6Ne05j4arNqKmt\nl6Gy1jEnxQIlJz1yJ7IgCNEAngaw3mQy/eSJfbZT91b6L90d3K0d+9wBYEfDndKNLQCQJwjCb00m\n08derqFNDh486OlditTV1V3+3uH3stsRkZeHkPPnYevZE7WjRwOawLsCdaTYjDe/PS2ZT61rhAYP\n3tgb504X4txpmYrrBI98BhRg3Yl1WJy3GFXWqsttl64Mzl07F6eKT2HqgKkyVuh5285tQ7WlusVt\nqi3VeG/Dexjba6zb/kD5/+/N2pmTyjV2SCS+2WG5/Geb3YF3v9yOG0d59ppuoPycMCfdY052HnOS\nlPhzMmNcFI6fLkel2Xa5raLmIhat3IC5U/tD4+ZRceake8zJzmNOUnOfgUduicWb3xajpEx8I8T+\nggv4w99+wP/cHIdukcp52pk56V4g5KSnprNYCuARAE8JgjDIZDIVNu4UBOE3AJwmk+lTD72f17kZ\nPL7cLghCBVx/54/dbeNrtbW1Pnkfp9PZoffSf/MN+r36KtR1dVDX1cERHg5HeDhO/e//ovzmm71Q\nqTxOnr+Id34shb3JAHJ4FzXuu74HwjRW1Nb696rPHf0MKIHdaUfW7izRgayxKmsVsnZnIS0mDWpV\noDykAZyqPIVaW8v/z+psdThVeQpJkUktbufP//8B32Qlc1J5RsRr8f0uwNZoPYtN+8sxbnAYQjSe\nn0fOn39OmJPNY056DnOSlPRzogbw20l6vPX9eTga3RxWeNaCL34pwS2jxff/MCebx5z0HOYkNf0M\naFXArBti8OGGCzh+VjyQfLa8Hv/44gTuu74HeneTfyCZOdm8QMhJTw0iVwC4C8BcuJkTuGEBvTmC\nIHwIYEHTQWYPKEPLd/heuku4takm2qoAQIogCIkmk+nSQnq+ruGyiIgIT+9SpK6uDk6nEyqVCuHh\n0scoWtJ13Tr0WbYMmqorAaKurgaqqxG/dCm6hIaiaqr/X4E6fcGCf/98AVa7eAA5TKvGnFv7oV+P\nsGZe6R868xlQim3ntsFit7S4jcVuwUHzwWavDPqjftH9EBES0exBHADCQ8Jd2zWTJb76/+/tA6U3\ns5I5qVwREUDKYDO2ma78+9ZYHDh6xo6UIV099j7MSf/FnLyCOUnepNScFAZEYPp44IvN50XtW0w1\nGBwXhRGJUZfbmJPMSeYkeVNLn4EIAHNu0+GjDWew65j4jtfqOjve+u48HripLwb39e74UGuYk4Gd\nk54aRI42mUyfAPikuQ1MJtNqAKsFQfiXIAgveWEgGYIgdGvDnMSecGmgPBGuAWU5arjsqquu8ur+\nDx48iNraWoSHh7fvvex24KabgCr3P0SaqirEvfIK4p54AlD77xWoU+eq8dYHG1FXL57bJlSrwaJH\nUpGU6P/TYHf4M6Agu227UWdveX47i92C0JhQv/07ujNUGIpn855t8WDWNawr7rv2vmavBPvq/39e\nXp7X9g14NyuZk8p2f7c4bGsy29aOAgvumT4OKpVn7kZmTvov5uQVzEnyJiXn5LBhTpTX5WHD7mJR\n+ye/nMOksVehXy/XQDJzkjnJnCRvastnIGn4VXjn6wP45KejonaL1YE3vz2NxzNG4dpR/XxRrlvM\nycDOSU8lyE5BEO5s47YLGr486dKgbXPzEl+6Q/hYW3YmCMIjgiCUC4JwYyubNr7z2KM1BASjETCb\nW96mtta1nZ86V1aL5/+1CZU14snsQzQqPPvguIAYQA4UsVGx0IXqWtxGF6pDbGSsjyryDY1ag+wp\n2dCH6d3268P0yJqSFVCPEvmVIMhJJUiI7YprhvQQtR09WYFDhe4XvghWzEnmpCIxJ8kHVCoVfnf3\nSPTvHSlqr7tox1/f3o66i645k5mTzElFYk4GFbVahQenJWHuHVej6b0QNrsDWe/l4fOfj7p/sQ8w\nJwM7Jz1SfcNdxjGCIHwoCMIdgiA0+3yoyWSq9MR7NvF9w/fmppO4NJK3o437u6thXynN9F8aKG48\nb7Kna/B/JSWtH8zMZtd2fqi8yoLnVm5CaaX4UQ21CnjyvjFIGdZLpsrIHcMAA3TaVg5mWh0M8QYf\nVeQ76cnpWDF1BeKi4qAP0yNUHQp9mB5xUXF4beprSE9Ol7vE4BXgOakkMwyDJG1rjcFzXbctmJPM\nSUViTpKPhHcJwTOzxiG8i3gRspNnq7H8o91wOp3MSeakMjEng9K0yYlY8MBYaEOkw3pvrN2P1V/s\ng6PJek2+wJwM7Jz0yHQWDYPGdwG4EcBvG9oK4BpY/Q7A9yaTazLChm0TPfG+jXwI4KmG/bpbEC8R\naH6xPDd2AvjIZDKtaqY/pWF/jaey8HQN/i82FtDpgIoWZvfQ6Vzb+Znq2no8v3ITSkqlB+vfzxyF\nSSP6ylAVteTSlcF56+ah3CK9+zBQrgw2JyM5AzOTZsJYZERJTQliI2NhiDcE7N/XbwRwTirNmKt6\nIzZGh5ILV3J7074SnC+vQ0+9cubmlBNzkjmpSMxJ8qH+vaPw2N2jsOxd8X0/G3YVY3hCd0ydnMic\nZE4qD3MyaE0a0RfdIrvgz29uRU2dVdS3dkMByioteDwjBaFaTTN78DyeTwZ2TnpqTuTX4ZrOYQGA\nQQDGAhjV8N+PAIAgCBVwzSWcCNcCfB5jMpl2Nuz/JgAfu9nktwAkA8KCIFyqZaWbAWG3U1k0muJC\nNCVHR2sIaAZD2w5mBv+6AlVrsWLR6s0oOlMt6Xvk9qtxw9gBMlRFbZGenA4nnMhcn4laay3M9Wbo\nQnWI0EYge0p2QFwZbIlapUZaQprcZVBjAZqTSqRWqzBt8kCs/iL/cpvD4cTXm45j1tThMlamLMxJ\n5qTiMCfJxwwj43CosAxrjaKlb/D62nwM7t+NOcmcVB7mZFBLSozBsscMeGH1ZpwvF89FvHHPaZRX\nX8RzD41DZESoz2piTgZuTnpqEBkmk+nupm2CIIyCazB2CoAb4Jrq4S6TyfSpp963kTlwLdy3oPHC\ndoIgPIIrA9xNLYVrcDcRrjupAVweEH5GEIQUN3cOLwVQYDKZlnmohsCl0QDZ2cC8eUC5m3kn9Xog\nK8uvJve/aLXjL29tw+ET0gP0fbcOw3SDp2+yJ08L9CuD5GcCMCeV7MZxA/DeN4cuz20JAN9uKcTM\nm4YiLNRjp0R+jzlJisKcJBk8OC0JR05W4GBh2eU2m92Jl9ZsxytPXMecJGVhTga9/r2jkPWYAYtW\nb0FhiXhht/0FF7BgxUYsmp3q06fvmJOByVO/MZW5azSZTLsA7AKQJQhCNFx3/d4kCMLl6S08xWQy\nfdxwZ/EPgiDMAVAA4G64Bm5vaDyo28ilO44/dLO/uwRB+KhhWo7vcOUO6gKTyXRX0+07UUNgS08H\nnE4gM9M1mb/Z7LoKGhHhOtCl+88VKJvdgaXvbMfeo6WSvjuvG4y7bxgqQ1XUEYF8ZZD8UADlpNJF\nhGlx47gB+LLR3WXVtVbk5p3CLakJ8hWmQMxJUhTmJPmYNkSNBQ+Mwf/+LVe0gHZppQXZ7+dh0ZxU\naNTMSVIQ5mTQi4kOx0vzJ2PJmm3Yc0Q8ZnHiTDUy/7EBi+akIiG22SXMPI7nk4HHU4PIxwRBGGky\nmXY3t0HDgnrLBEHoBtfdvP/PQ+/d+D2WCYKwCq6B2xvhGvCVrqRzZfuP4X7qiUv9dzUMCt8I10D5\nXU2mveh0DUEhIwOYOdO1GmxJiWsuJoPBr66E2h1O/P3fO7H9wFlJ362pCXhw2nComi6N6nZHdum/\ng8Z38xMRkUIFQE56lBezctrkgfhqYwGcjdYZ+XJjAW6eEN+2HCcieTAnxXhO6XUx0eHIvG8MFq7c\nhMZrU+0+fB456w/hvluukq84IneYk2JBmJO6cC1emJ2KVz/chdydp0R9FyoteHq5Ec8+NB5XD+4h\nU4Xk7zwyiGwymbIEQfiXIAj/MZlMPza3nSAIXU0mU4UgCF77La3hbl+PzT3cMGjcrv15uoaAoFYD\naf55BcrpdOK1j/dgw+5iSV/aqH549M4RbRt4yMlxXRk2m69cGdbpeGWYiFz8OCc9ystZ2bdHJMZe\n1QfbDpy53HbiTDX2HDmPkUN7dXr/RORFzEkXnlP6zDVDeuK+W6/CO18fFLV/+N1hDIvvjjFX9Zap\nMqJmMCddgjgntSFqPJ6RgpjoMHzy01FRn9liw8JVm/FERgoMo+JkqpD8mccuSZlMpkcBjBYE4VtB\nEEY27RcEYSCAckEQvgXglOyASIGcTife/HI/1m8tkvSNT+qDP2SMglrdxgHk+fOB4mLXggdWq+t7\ncbFr7qqcHC9UT0TkZ3yUlTPczF/fdAElIiJF4jmlz/3m+iEYN7yPpP3l9/NwtqxWhoqIqEXMSajV\nKjw4LQmP3H41mt7vZrM7sOy9Hfj856PuX0zUAo8+12AymbJMJtPNAI676TsOoArATQDyPPm+RN7y\n4feH8fnPxyTtIwb3wFP3j0GIpg0/Qna76yqou0UOAFd7ZibgcHSyWiIiP+bDrBwxpAfi+0SJ2nYc\nPIvTpTWd3jcRkdfwnFIWarUKj2eMQp+YCFF7TZ0VL63ZhnqrXabKiEiCOSky3ZCIBQ+MhTZEOm7x\nxtr9eP2LfDgcvMeT2s4rk+M0zH/srl0PQG8ymV73xvsSedLaDcfw/jeHJO1CvB7PPTweodo2zqdk\nNLoeoWlJba1rO7nZ7UBuruvqbG6u689ERL7gw6xUqVSY3uRuZKcT+Gqj5Bq4FHOSiOTiL+eUAZiT\nkRGheGbWOIQ2GYg5eqoSqz7fJ1NVRCTBnJSYNKIvFs+diMhwraTviw3HkPXeDlht/p/T5Bs+n2G9\nuQFmIiX5bmsRVn+RL2lPiO2KRbMnILxLO6YTLylp/UBmNru2k1NODhAfD9xxBzBrlut7fDzwwQfy\n1kVEwcHHWZmW0g9REeKT6e+3FcFcZ23+RcxJIpKTP5xTBnBOJsZF49E7R0jav91ShB+2n5ChIiKS\nYE66lZQYg2WPGdBTHy7p27jnNBau2oyals6BiRoE6TKdRM3buKcYyz/aLWnv20OHF+emIjIitH07\njI11TeLfEp3OtZ0ntefqZivzRnVdt86ztRERNeXjrAwLDcHNExJEbXUX7fh+a6H7FzAniUhuSj+n\nDIKcvGl8PG4aN0DS/trHe3D8NO+VIpIdc7JZ/XtHIesxAxJiu0r68o9dwILlRpwvr/Pa+1Ng4CAy\nUSM7Dp7Fy+/noem0QD26hWPxoxOhjwpr/04NhrYdyAyG9u+7Oe25utmGeaN6ZWcHzbxRRCQTGbJy\nauleqB3ik/yvcn6GPadJVjIniUgJlHxOGUQ5OffOEUiMixa11dscWPL2dt7JRyQ35mSLYqLD8dL8\nybhmSA9J34kz1cj8xwYUllR57f3J/3EQmfyXh+cRyj9WiiVvb4PNLh5B7hbVBX95dCJ66SOaeWUr\nNBogOxvQ69336/VAVhag9tCPY3tXo23DvFHqujpE7trlmfrIa+wOO34o+AHP//g8nv/xefxQ8APs\nDs5vFfT8ZW5KGbKyx+PzMOnwJlHzmcie2PHSKnFWMicDBnOS3GJOuteec8ogyskuWg2emTUWuibz\ni5ZcMOP/PtgJp9O/F6liTpJbzEn3/DAndeFavDA7Fdel9JP0Xai04OnlRuw7WurVGvxdMOdkOyZ2\nJVKQnBzXVTyz2fWl07m+srOB9PR27+7IyXK8+MZW1NvEV/104Vq8+Egq+vaM7Fy96emuVZsyM10T\n+V+qOSKiwzW71dbVaGfOvHLgbMO8Uaq6OmhLS3HRM1WSF+Tk52D+uvmosFTACdcvL38x/gX6MD1W\nTF2B9GQPfcbIv3g4K71OhqycsesrGIeJ70ZZO/R6jG+clczJgMCcJLeYk+6195wyyHKyT4wOT9yT\ngsVvbBW1b8k/g89yj+LO64fIVFnnMCfJLeake36ck9oQNR7PSEFMdBg++emoqM9ssWHhqs14IiMF\nhlFxXq7E/wR7TnIQmfzPpat9jcO6osL1NW+e64CRkdHm3RWdqcILqzaj7qJN1B4WqsGiORMwsG90\nM69sp4wM1wHEaHQdQGJjXY/ReOoqKNC+1WjT0lx/vjRvVEVFsy9xhofD2kP6yAspQ05+DmZ/MRu1\ntlpRuxNOlFnKMHvtbDjhREZy238uKAB4OCt9xsdZKZSYMOTMYRzpM/Ry994BI1C4szsSLmUlc9Lv\nMSfJLeZk89p7ThmEOTlueB/cdcMQfPTDEVH7mnUHMKS/HlcP9q+/K3OS3GJONs/Pc1KtVuHBaUmI\niQ7H6i/2ofFDFDa7A8ve24ELVXW4PW2wT+rxB8xJTmdB/qatV/vaOI9QSakZC1duQnWteP4ybYga\nzz08HsPiu3e2YjG12nUASU93fffkQQzo2Gq0bZg3yhEejppRozxQIHma3WHHk98+KTmQNWa2mpG5\nPhMOp//PQ0ht5OGs9DkfZqUKwIydX0k2+XLIdVeykjnp15iT5BZzsmXtPacM0py895arJHOLOpxw\nDb5U+s8CVcxJcos52bIAycnphkQseGAstCHSf5831u7H61/kw9F00aggxJx04SAy+Zf2XO1rRWlF\nHZ5buQllVeKHRTRqFZ5+YCyuGdKzM5XKoyOr0bZh3qizmZmeP+iSRxhPGFF5sfXVwKudicgSAAAg\nAElEQVQuVsFY1PrPBQUID2ZlQGqSlZMOb0L3mjLRJrmCAZXde7v+wJz0a8xJcos52bL2nlMGaU5q\n1Co8ee8YxESLF9+uqL6IZe/ugM3uHwMJzElyiznZsgDKyUkj+mLx3ImIbDLXOwB8seEYst7bAast\nOOb8bQ5z0iWwjuIU+Dpyp60blTUX8fzKTThXJr6KpFIBj2ekYFxSn85WKo+Orkabng6sWAHExbkO\naqGhru9xccBrr6H6ttu8VzN1Skl1CSw2S6vb1VprUVLT8s8FBRAPZWXAapKVWocNt+35r2iT+pBQ\nfKvqe6WBOem3mJPkFnOyZR05pwzSnOwW1QVPPzAWGrVK1H7geBnWrDsgU1Xtw5wkt5iTLQuwnExK\njMGyxwzoqQ+X9G3ccxoLV21GTZ3VzSuDA3PShYPI5F86cqdtE+Y6Kxau2oxT52okffN+cw3S3KxS\n6jc6sxptRgZw4gTw2WfAmjWu7ydOKHOxhCBjd9iRW5iLnH05yC3MFa38GhsVi7CQsBZe7RKhjUBs\nZPM/FxRgPJCVAc1NVt6y91tobfWizb7eXCi+i4w5qVjMSWo35mTLOnpOGaQ5OSyhOx6ekSRp//zn\nY/hlz2kZKpJiTlK7MSdbFoA52b93FLIeMyAhtqukL//YBSxYbsT5cv+Zqqe9mJOt48J65F8uXe1r\nYTJ6t3faNrBctOFPr29BQbH0MYSHpiXhltQEDxUqo86sRntp3ihSjJz8HGSuz4TZaoa53gxdqA46\nrQ7ZU7KRnpwOwwADortEw2xt+S6B6C7RMMS7/7mgANTJrAwKTbIy2mxGWsFWfD/0yr/JhUoLNu09\njWtHNbq4yJxUHOYkdQhzsnUdPacM0pycPjkRhwrLYdxdLGr/vw93IT42Cv16RclUGXOSOog52boA\nzMmY6HC8NH8ylqzZhj1HSkV9J85UI/MfG7BoTqrbgWZ/xpxsG96JTP6lE3faWm12/PXtbThYWCbp\nm3nTUNx5fQCtOqrgq5vUdjn5OZi/bj6Kq4tRYamA1WFFhaUCxdXFmLduHnLyc6BRa/DyzS8jIiSi\n2f3otDpkTcmCWsXIDxqdeSohmDTJyhlzpI8QrjUWyFAYtRVzkjqMOdk2PKdsM5VKhcfuHon+vSNF\n7XUXbViyZjssF22y1MWcpA5jTrZNAOakLlyLF2an4jo3T2lfqLTg6eVG7Dta6uaV/ok52XaB+zej\nwNXKPELuwtpudyDr3R3Ydfi8pG+6IRH33jzMF5X7lrdXoyWvsjvsyFyfiXKL+9WQyy3ll1d+TU9O\nx+u/fh36MD1UuDIfnwoqdA/rjtdnvI70ZP89iaEO6kBWAnCtxJ2bC+TkuL7bA3wRjUZZOXDGr5A8\nKEbUbSoqh6lIevGR5MecpE5jTrYNzynbLLxLCJ6ZNQ5hoRpR+4kz1VjxyR44nU6f1sOcpE5jTrZN\nAOakNkSNxzNS8Bs3N9uZLTYsXLUZxl3Fbl7pX5iT7cPpLMg/ZWQAM2e6VoItKXHNw2QwuA1rh8OJ\nV5d+hs0XpB/3G3rYMHtGMlQqlaSPSE7GE8ZWH5WptdbCWGREWkIaMpIzMDNpJn4u/Bk/Ff4EALg+\n4XqkJaQF9JVQakU7shKA60Q/M9P1KN6lx/F0utanwgkgMwyJyD92QdS21liAzPjuMlVEzWFOkkcw\nJ8nD+veOwmN3j0TWe3mi9ty8U7gqoTtumzjQZ7UwJ8kjmJNBS61W4cFpSegeHYbXv8hH4+tgNrsD\ny97bgQtVdbg9zX+f6mZOtg8Hkcl/tWEeIafTidVZn+DHC1pJ36TDv+Cxt9+EOqHedWAkUpCS6hKY\n61s+mJnrzaKVX9UqNa4feD2uH3i9t8sjf9LWOddycoD584HyRlfhKypcX/PmueZ7C4KsHJcUi17d\nI3CurPZy2y97TuPh6XWIiZauVk3yYU6SxzAnycOuHdUPh4rK8WWTKZFWf74Pg/t1w9ABzUwP4GHM\nSfIY5mRQm2EYhJjocLz8fh6sNoeo7421+1FaYcHD05OgVvvfzXnMyfYJ/GFyCmrvfn0AX52TDiCn\nHM/DH7/+OzRlF1xXSR0ON68mkk9sVCx0oS2vhqwL1QX0yq/kQ3a7KwvL3T/GhfLyoMlKjVqF6ZPF\nd4nZHU58valQnoKoWcxJ8inmJLXTQ9OSMCxePFhsszuxZM12VNZc9EkNzEnyKeZkQJs0oi8Wz50I\nXbh0fOWLDceQ9d4OWG3+N20Jc7J9OIhMAeuTH4/gox+PStqTTu3HM18uhdbRsLhFba3r0RwiBTEM\nMECnbeVgptUF9Mqv5ENGo+txw5YEUVbeOC5eMp/lN5sLUW/1vxPjQMacJJ9iTlI7aUPUWPDAWHTV\nhYraSyvq8PL7ebA7vD8/MnOSfIo5GfCSEmOw7HeT0aOb9Om8jXtOY+Gqzaips8pQWccxJ9uHg8gU\nkP676TjeXndA0j74zFE8//lfEGarv9JoNrvmdiJSEI1ag+wp2dCHuX/cUR+mD/iVX8mHSkpaP+kP\noqyMDNfihrEDRG1V5nr8vPOUTBWRO8xJ8inmJHVAj27heOq+MWj6hPeuw+fx4Xcmr78/c5J8ijkZ\nFAb06Yrs3xuQENtV0pd/7AIWLDfifHmdDJV1DHOyffivQAHnp7yT+OeneyXt/UtPYNGnf4Kuvlbc\nodO5FgcgUpj05HSsmLoCcVFx0IfpEaoOhT5Mj7ioOLw29bWAX/mVfCg21pWFLQmyrJw2Wbrw0Vpj\nAZxO7985Rm3HnCSfYU5SB10ztCfuveUqSfsH35mw4+BZr78/c5J8hjkZNGKiw/HS/MkYMbiHpO/E\nmWpk/mMDikqqZKisY5iTbceF9SigbMkvwSsf7ELT3/F7V5zB4k9eQLSlWvoinc61uiyRAl1a/dVY\nZERJTQliI2NhiDfwSih5lsHgysKKiua3CbKs7NcrCqOH9ULeoXOX2wpLqpB/7AKudnPCTPJhTpJP\nMCepE377qyE4VFSG7QeuDBo7ncDf/p2HVx6/Dr26R3j1/ZmT5BPMyaCiC9di0ZxU/N8Hu/DzLvHT\nehcqLViw3IhnHx6Pqwf5x3kzc7Jt+K9BAWP34XNY+s4OOJrML9Zd68Sfv/sbYsxuJvjX64GsLNdq\ns0QKpVapkZaQhvTkdKQlpPFARp6n0QDZ2a5MdCdIs3KGYZCk7YsNx2SohFrDnCSvY05SJ6jVKjyR\nkYLeTQaLq2utWPLOdp8sRsWcJK9jTgYdbYgaT9yTgjuvGyzpM1tsWLhyM4y7i2WorGOYk63jvwgF\nhEOFZfjzW9tgs4tXeo2KCMXiP/wKfZYuAuLiXAeu0FDX97g44LXXgHQ+mkBEhPR0YMUKZmUjo4Se\n6N87UtS27cAZnLnQynx/RBSYmJPUCZERoXh61lhoQ8S/gh89WYHVn+fLVBWRhzEng45arcJD05Mw\n5/ZkqJrM/26zO7Ds3R34/GfehBEoOJ0F+b2C4kosen0LLtaLr+BHhIXgxUdSMaBPVyAjA5g507US\nbEmJax4mg4FXQYmIGmNWiqhUKkyfnIjXPrkyz77TCXy18Thm/zpZxsqISDbMSeqEwf264dE7R+Af\n/9ktav/v5kIMS9DjV2MGuH8hkT9hTgalGYZBiIkOx8vv58FqE9/c98bafFyorMND05KgbrrSKPkV\nDiKTXzt1rhoLV22Cuc4qag/VarDwfyZgcP9uVxrVaiAtzccVEhH5GWalyPWj+2PN1wdFx5nvthXh\nnpsFRIRpZayMiGTDnKROmDI+HocKy/DdthOi9hUf70ViXDckxHaVqTIiD2JOBqVJI/qiW2QXLH5z\nq2SM5vOfj+FCpQWPZ4yCNkQjU4XUWbwURH7rXFktnv/XJlTW1IvaQzQqPPvgOCQlxshUGRERBYqw\nLiG4eXy8qK3WYsOPO07KVBEREfm7uXeOQGLfaFFbvdWOJW9vkwy8EBH5k6TEGCz73WT06BYu6TPu\nLsYLq7aghjnntziITH6pvMqC51ZuQmmlRdSuVgFP3jcGKcN6yVQZkTLYHXbkFuYiZ18OcgtzYXd4\nf8EWokA1ddJANH3y7ktjgWQhV/IvzEkikksXrQZPzxoLXZj4weDTpWb834e74HQq4/jCnCSijhjQ\npyuyf29w+2TFvmOleHq5EaUVdTJU5nnBlpOczoL8TnVtPZ5fuQklpdKFjX4/cxQmjegrQ1VEypGT\nn4PM9ZkwW80w15uhC9VBp9Uhe0o20pO5mAVRe/XqHoEJV8di096Sy22nS83IO3QWY4f3kbEy6ijm\nJBHJLbaHDo9npODPb20TtW/eV4LPco/hzusHy1SZC3OSiDojJjocL82fjL++vQ17j5aK+orOVCPz\n1Q1YNCcV8X48hU8w5iTvRCa/UmuxYtHqzSg6Uy3pe+T2q3HDWC5GQcEtJz8H89fNR3F1MSosFbA6\nrKiwVKC4uhjz1s1DTn6O3CUS+aUZhkGStrXGAhkqoc5iThKRUoxPjsVdNwyRtK/5+gDyj5W6eYVv\nMCeJyBN04VosmpOKtFH9JH2llRYsWG7EPhmzrjOCNSc5iEx+46LVjr+8tQ2HT1RI+u67dRimGxJl\nqIpIOewOOzLXZ6LcUu62v9xSjsz1mXA4HW77iah5wwd2x6B+4vkrdx8+jxNnqmSqiDqCOUlESnPv\nzcMwYnAPUZvD4cSyd3egrMrSzKu8hzlJRJ6kDVHjiXtScOd10qcrzBYbFq7cDOPuYhkq67hgzkkO\nIpNfsNkdWPrOdsljEABw53WDcfcNQ2WoikhZjCeMMFul07w0VmuthbHI6KOKiAKHSqXCDDcXK7/c\neFyGaqijmJNEpDQajRpP3jca3buGidrLqy9i2bs7YLP7dhCCOUlEnqZWq/DQ9CTMuT0ZqibrjNjs\nDix7dwc+//mYPMV1QDDnJAeRSfHsDif+/u+d2H7grKTv1tQEPDhtOFRNk4goCJVUl8Bc3/LBzFxv\nRklNSYvbEJF7hpFx6BbVRdT2446TqK6tl6kiai/mJBEpkT4qDAseGANNk1Vc9xdcwDtfH/RpLcxJ\nIvKWGYZBWPDAWGhDpEORb6zNxxtr8/1i4epgzkkOIpOiOZ1O/POTPdjg5vGGtFH98OidIziATNQg\nNioWulBdi9voQnWIjYz1UUVEgUUbosGtqQmitnqrHeu3FMlTELUbc5KIlGr4wBg8PD1J0v5Z7lFs\n2nvaZ3UwJ4nImyaN6IvFcydCF66V9H3+8zFkv58Hq80uQ2VtF8w5yUFkUiyn04k3v9yPb938cj4+\nqQ/+kDEKajUHkIkuMQwwQKdt5WCm1cEQb/BRRUSB59bUBIRoxMeer345Drsf3DVBzEkiUrbphkRM\nvqavpP2VD3ah+HyNT2pgThKRtyUlxmDZ7yajR7dwSZ9xdzFeWLUFNXVWGSprm2DOSQ4ik2J9+P1h\nt/PijBjcA0/dPwYhGn58iRrTqDXInpINfZjebb8+TI+sKVlQq/izQ9RR+q5hMIyME7WVVtRhf6Fv\nfrmnzmFOEpGSqVQqPHb3SMT1jBS11120Ycnb22C5aPN6DcxJIvKFAX26Ivv3BiTEdpX07TtWiqeX\nG1FaUSdDZa0L5pwMvL8RBYS1G47h/W8OSdqFeD2ee3g8QrUaGaoiUr705HSsmLoCcVFx0IfpEaoO\nhT5Mj7ioOLw29TWkJ6fLXSKR35thGCRp27jf/erMpDzMSSJSsogwLf6/B8ciLFT8+07RmWqs+GQP\nnE7vP/nCnCQiX4iJDsdL8ydjxOAekr6iM9XIfHUDikqqZKisdcGakyFyF0DU1Hdbi7D6i3xJe0Js\nVyyaPQHhXfixJWpJRnIGZibNhLHIiJKaEsRGxsIQbwjIK6FEchjcvxuGD+yOA8fLLrcVnrXgdFk9\nBkdEyFgZtRVzkoiUbECfrvjdXSOR/X6eqD037xSGJ3THrRMHer0G5iQR+YIuXItFc1Lxygc7sWGX\neC2s0koLFiw34tmHx+PqQdKBZrkFY05yNI4UZeOeYiz/aLekvW8PHV6cm4rIiFAZqiLyP2qVGmkJ\naXKXQRSwZhgGiQaRAWDLoRoM7tdNpoqovZiTRKRkaSn9cKiwDF/9clzUvurzfAzq1w1DB7h/jNqT\nmJNE5AvaEDX+eM9o9IgOx6e5R0V9ZosNC1duxhP3pEimlFOCYMvJwB0eJ7+z4+BZvPx+HpquTdSj\nWzgWPzoR+qgweQojIiJqYkJyH/TUixcDyT9Ri+pa789XSUREweHhGckQmgwW2+wOvPTOdlSZ62Wq\niojI89RqFR6anoQ5v06GSryGNWx2B5a9u8PtmlnkWxxEJkXIP1aKJW9vg80uHkHuFtUFf3l0Inrp\ng/jxYLsdyM0FcnJc3+12uSsiIlIWGXJSo1FjapPHiR0OYPPBCq+/NxFRu/F80i9pQ9RY8MBYdNWJ\nn8Y8X16Hl9/Pg73p3TdE1HHMSUWYce0gLLh/LLQh0uHKN9bm4421+XAw+2TDQWSS3ZGT5Xjxja2o\ntzlE7bpwLV58JBV9m6xOHFRycoD4eOCOO4BZs1zf4+OBDz6QuzIiImWQMSenTIiXLPS65WAlrDb+\n0kFECsLzSb/WUx+OzPtGS+7M22k69/+zd+/xUdV3/sffM7mQC4QEAhICBgL1iOItAQUlYFdsa1Ws\nrShUra1dYFfcbl0FdFu71t1WEXr5WbVFe7G1GhXaKmq19VIk3ASCoCgelXDREIqBhEAukEzm98dM\nIMNkkpDMzLnM6/l48Jj2e86c+cQk7zn5zDnfr5591bSmKMBtyElbueicobp39kRlpqeEbXvuze1a\n/GQ559sWoYkMS+3aW6f/eXStGo+E3v6blpqke2ZN0Mih/S2qzAZKS6W5c6XKSqm2VmpuDjxWVkq3\n3BLYDgCJzOKc7JeRqkvGDQ8ZO9zkC1sUBAAsw/mkK5x72mBd/8XTw8ZLXzW16YN9FlQEuAg5aUtj\nR+Vq4a2TlJudHratbHOl/ufRdTrc2GxBZYmNJjIsU1Vdrx8sWaNDDaG/+CnJXn3/5gt0esEAiyqz\nAZ9PmjdPqqnpeHtNTWB7a2vH2wHA7WySk1eWFIaNLS+rkN/PbXYALGaTnER0TL/kNI0bc0rImN8v\nLX5yo/YdaLCoKsDhyElbKxiSpcXfKdGIvKywbe9ur9adD5WpurbRgsoSF01kWKK6tlHfX7JGB+qO\nhIwneT268xvjdc7nBllUmU2UlUn19Z3v09AQ2A8AEpFNcnL4Kf103mmh71kVlQf1/o4DMX1dAOiS\nTXIS0eH1evRfXy/S4AGha8UcamjW/X/YwK3dQE+Qk7Y3sH+67p87SWePzg3btmvvIc17cKV27a2z\noLLERBMZcXfw8BHdvWRN2CfmHo9028winX/mEIsqs5Gqqq7fzOrrA/sBQCKyUU5OmzwqbGx5GatH\nA7CYjXIS0dEvI1V3fSN8wamPPqnVY89vtagqwMHISUfITE/RPbMmaPJ5+WHbqg82acFDq/Tu9moL\nKks8NJERV/WNzfrBo2v16b7DYdtu+do5mlI0zIKqbCgvT8rM7HyfzMzAfgCQiGyUk0XGYOX2D134\nY927VdxeDMBaNspJRM/o4dmac/VZYeMvr9mpf5R/YkFFgIORk46Rkpyk279erK9ePDpsW31js36w\nZK3KNrMuSawlW11ANBmGkS3pLkmFkg5IGiDpVdM0H+3h8QolLZSUHTxmhaSlkY5nGMY1kuZIWhLc\ntyK4aWpwfIFpmpt6UosbNB1p0Q9/vU4VlQfDtn3rijP1pYkj4l+UXZWUBN6samsj75OZGdgPABKR\njXLS6/XoojOy9fzaz46Ntfqll1bv0LeuPDPmrw8AHbJRTiK6vnBBgbbtPKDXN4Q2jR9aukUjh/bv\ncP5QAB0gJx3F6/XoW1eeqYH90/Tr5VvVfgmSFl+rFv1xow7UNemqDu4SRHS45krkYAO5XNJ20zSn\nm6Y5xzTN6ZKmG4axpAfHm6pAA3mWaZqXmqY5StJSSUsMwyiP8LQBCjSMlwZrqQn+W6pA8zlhG8jN\nLT79+PH12rYzfI7I66aepq9+PvzTpISWlCQtXizl5HS8PSdHWrRI8rrmVzj+fD5pxYrAarsrVgT+\nPwDnsFlOFn+uv/qkeELG/vbWLjUdaYnL68cEOQk4m81y0pUsykmPx6N/++rZGjk0tFl8tNmn+x5f\nr4am5gjPBBCCnIy9GOTktMmjtODG8Kl9/H7p189v1W+Wb1VrK4tcx4KbfhMek1TRwVXC0yXNDl4l\nfDIWBJvRxz6SCh57gaSiThrTmyS1PadC0jJJo3p6NbQb+HytWvTHcr394Wdh264sKdT1Xzrdgqoc\nYMYM6eGHpfz8wJtXamrgMT9feuSRwPZ48fnUd+NGZb30kjsaCaWlUkGBdPXV0k03BR4LCqSnn7a6\nMgAnw0Y5mZbqVdHI0MWO6hub9YZTby0mJwF3sFFOSpJ8PmWsX++OD6cszsm01GTdedN4ZaaF3ly8\np7peP3/6bfn9NFCAbiEnYyeGOXnROUN17+yJykxPCdv23Jvb9ZMny1lwNAZcMZ1F8CrktqkkQpim\nWWsYxmvBbcu6ebzZCkxJEcY0zQcMw1ioQGN6Qfsmc9B9pml263USQWurXw8+u1lr3w2fiP6S8cP1\nr9PGyuPxdPBMSJJmzpSuuy6wGmxVVWAuppKS+H4SWlqq0bfdJk9Dg7xNTYHbeTIzA5/YxvsNNRpK\nS6W5c6WamuNjtbWBf7fcEvj4cuZM6+oDcHLskJOSsl56STc+8lu9ddWP1NrutV94abO+NGGEvF4H\nvdeRk4C72CgnRy1apKSmJqmx0dnnlDbJyaG5ffXdmUX60e/Wh4yvfbdKz6/crq9M4W5PoFvIyeiL\nQ06OHZWrhbdO0j2PrVN1bWPItpWbK1Vz6Ij++1vnq28HjWb0jFuuRL42+FgRYXuFAtNMdNelkpZ2\ncvVy2+uMO4ljJhy/36/HnntXb2wMvwrrorOH6j+mn+usP6qt4vVKU6YE3jSmTIl7A1lz5yrln/9U\n8qFD8jY3B0K/sjIQ/KWl8aslGnw+ad680Dey9mpqAttbW+NbF4DesTInJam0VEP+9381fMc2nV8R\n+of8p01ebX702fjW0xvkJOBONsnJ1H37lFRXJzn5nNJmOTlhbJ6+1sHUgL978X29V7E/LjUArkBO\nRk8cc7JgSJYWf6ekw7ng391erTsfKgtrMKPn3NJEvjT4GKmJvF06Ns9xT457orarj7NP8ngJ5YmX\nt+nF1TvCxotOH6zbry9WUpJbfvxcymYnyFFRVibV13e+T0NDYD8A6I5gVibV1UmSpm16MWyX5W9u\nd05WkpMAou2EnAzjtHNKG+bkjZeN0VmjckPGWlv9WviHDaqpa4pbHQB6iJzslYH903X/3Ek6e3Ru\n2LZdew9p3oMrtWtvhP+2OClu6eIVBh/DV20LaGv6FnXzeLMUmPt4QRev12HT2jCM2YZhLAz+WxKc\nHiOh/OmNj7T09Y/Cxs8sHKi7bgqfAB02ZMMT5F6rqpIivTG3qasL7AcA3XFCVo79dKtGfBb6AWr5\n0DP16csr4lxYD5GTAKLNbeeUNszJpCSv5t1YrAFZfULGaw4d0cInNsrnc0jjCUhU5GSvZaan6J5Z\nEzT5vPywbdUHm7TgoVV6d3t11F4vUbmlk5ctBeY/7mK/gd05mGmataZpPtDR8QzDKAq+XoVpmps6\nePpdwW0Lgv/mSJpuGMbS7ry2G7y8Zocef+n9sPHRw/rr7psvUFqqK6bidr+qqq7fyOrrndVIGDw4\nMPdSZ1pbpVNOiU89AJzvhKz0qOOrkV/YGuGuDrshJwFEm9vOKW2akzn90jT/xvFh0wW+V7FfT7y8\nLa61ADhJ5GRUpCQn6favF+urF4dP8VPf2KwfLFmrss2VUX3NROOWbt6ALra3XaEcjekn7go+hi3i\nJ2mjpI0dNJcXSCo3DOOaWCy6t21bbE8KGhsbjz129VqbPqrTM2/uDRs/JTtV11+cq907P45JjYi+\njKNHNSw9XUnNzRH38aWl6dOjR9UQ45/BaMnYvVunKtDkicQvafeuXY75muLhZDLAzmJZu1v+G+Hk\ndZSVUz5YqcdLvqG6jP7Hxl6rTtIFm7cqvU+SFWV2GznZM27JAHISseC2c0o756RX0pfH5+rFtz4L\nGf/TPz5WZlK9xo7oF9d62nNLBpCTiAVyMromjPaqpWmQXlj3mdq3slt8rVr0xEZt+2iXSsbmRP11\ne8sJGeCWJnJcBOdUvkbSA6Zpvnbi9ghXJss0zU2GYdRKWigp6k3khoaGaB+yQ36/v9PX+uDTRj1T\ntl8nft6UnZmk6y8eKE/rEcWpVERBw5gxyktLizwvkwJvZNVjxsgp39g+e/bI7/HI08mnon6vV749\ne+L2e+UkXWWA3cWjdqf/N8LJ6ygrU33Nuuydv+mZCdceGzva6tHqrdW6cIx1f8B3BznZO07PAHIS\nseC2c0q752RxYaoq9qTr/U9CF5J65s296p/WqoFZKXGvqT2nZwA5iVggJ6OvqLCP+iQP0J/XHFD7\nGX38kl5Y95mqaxt16Xn95fV01uq2hp0zwC1N5APq/CrjtiuVu5ruIiLDMLIlLZX0qGmakeZK7kyF\npCLDMApN04y0AGCPZGRkRPNwYRobG+X3++XxeJSent7hPh9V1mvpqgNhdyxkZSRpzuXDNTArNaY1\nIjb2zZ+vvHvv7fDNrCUrS/vmz1dG374WVNYzScOGyd+3b6fzM/kzM5U0bFjMf6+cpDsZEA2xfqOM\n5fc0Xv+NYE/75s/XkB/+UMmHDh0bu2zLy1o2/qvyJR0/1drwUb3+5bzBYbca2wk52TPkZNfIycTW\nUU62cdo5pRNycsbn0/SL53frs4PHr2o80uzX0tU1uvWqU5Vqwfo05GTXyMnERk5G3/jTMzSwf4Z+\n/+oeNR4NnRt+7QeH1XDUo+umnKLkJHvM9OuEnHRLE1lSoNHbjXmRe2qppGeDc0ymeV4AACAASURB\nVBz3RNuUGoWKsCBfT40ZMyaahwuzbds2NTQ0KD09vcPX+mDnAf3h9TXytYZ2kPtlpOq+uRfp1CFZ\nMa0PMTRmjDR0qJpvu02exkZ5Gxvl7dtXyshQ8uLFGjZjhtUVdo/PF1iEIDlZSu38A42krCwV3HCD\n5LXHG4kddJUB0VJeXh6zY0uxzcp4/TeCTY0Zo0q/X4MWLVJSU5OSmpo0MFWa9OnberNg/LHdag63\nqK41WxPPHGphsRGQk71CTnaNnExwHeSkMjOddU7psJz8n1NO1e3/b6WOHPUdG9tbc1RvbD2i7844\nT544X31HTnaNnExw5GRMjBkjjT3jc7rnsXWqrg29Q2NLxSG1evrov791vvqmW3uXhuSMnHRLE7mt\ncTxAHV9t3HaV8vaeHNwwjCUKLJYXsYFsGMZsBaarmN7RVBcd1OIKO/Yc1D2/XhdyciJJGWnJunf2\nRBrIbjBzpj4++2x5V69W30OHlD9unFRS4pzmQWmpNG9eYCGC+nopJUXyeDqe6D8nR1q0yDlfGwDb\nqLv8cu2dMkW527apIDVVysvTtIKxevMXq0L2W15WoYln2ayJTE4CiIOOctIx55QOzMmCIVm69Zpz\n9JOnQmdcfGPjJxozYoC+NHGENYUBiIicjI2CIVla/J0S3fPYOu2sCr06+t3t1brzoTLdM2uicrO5\nA6ArbmkivyapSJEbtAODjxtP9sCGYcyXpBMbyMHpLQa0m5pievD1i4L1nKhtSo0O5012ok/3HdIP\nlqxVfWPo5O+pKUn6wbcnaPRwV/XLE5vXq8PFxWrNyFC+kz4VLy2V5s6VamqOj7UtVuDxSBkZgf8f\n/IRXixdLTviEF4A9eb1qGD8+cMmDpNMkGQU5Mncdz6Ct2/erovKgCvP7RzhInJGTAOLphJx0BAfn\n5MXFw/XBrhq9tHpHyPiSv7yrUcP663PD7bewFJDwyMmYGNg/XffPnaQfP75e73xcHbJt195Dmvfg\nSt0ze6IKuBCyUw74OKNbngk+FkbYXihFXvgukuBCeqMiXIF87Qmvt0nSHNM0H4hwuKJgDVGdysIq\n+w406O5frVHt4SMh48lJHn3vm+frzMKBEZ4JxInPF/gktP0bWXt+v5SeLv3ud9Jf/iLt3m2bE34A\n7jGtJPzUZHlZj26Mij5yEgA654Kc/Pa0M2WcGtosbvG16v7fb1Bd/VGLqgLgGg7Kycz0FN0za4Im\nn5sftq36YJMWPLRK726v7uCZaOOKJnKwOVwr6dIIu1wj6dETBw3DKDQMY6FhGGF/4RmGUaTA1BSR\nprC4VKFXNj+jCFdCB5vRktSTBflsp6auSd9fskbVB5tCxr0e6Y4bxqno9MEWVQa0U1YWuI2mMz6f\nlJ8vTZnijFuEADjOhWcP1cD+aSFjb26qVO2hIxGeEUfkJAB0zgU5mZKcpPnfGKd+GaHzk+6radRP\nnypXa2sHt5oDQHc5LCdTkpN0+/XFuvri0WHb6hub9YMla1W2udKCypzBfu9yPTdL0rXBaSaOCc5V\nXKuOG7gLJc0PPrZ/Trak14PHq+ngn1/SNe0X8Qs2sscHm88dvU5FJ1cpO8ahhqO6e8kaVVWHh8R3\nrjtPF51ts3kekbiqqrp+M6uvD+wHADGSnOTV5ReNDBlr8bXqlXU7rSmoPXISADrnkpwcnJOhO24o\n1olr6ZV/sE/Pvv6hNUUBcAcH5qTX69HNV56pWVeNDcvFFl+rFv1xo55faZM7B23GNU1k0zSXSbpP\n0uuGYRQZhpEdbCAvkHRJ+4ZvO88o0GB+5oTxxxS4qjjSP6mDuY1N05wu6a7g1c1TDcOYbRhGuQIN\n5FG9/yqt1XS0Vfc8tla79h4K2zb7K2fpkvGnWlAVEEFeXmDOpc5kZgb2A4AY+uKEEUpNDj3l+uvq\nHWpuabWooiByEgA656KcLDIG6+tfPD1s/Km/faBN5j4LKgLgCg7OyWmTR2n+jeOUnBR6nu73S79+\nfqt+s3wrd2ucwC0L60mSTNN8wDCMRxWYr3iqumjeBhvPyzoYn96LGqYHp8eYKumAAlNiOH4e5OYW\nv57+R6W2VzWGbbvhstN1ZQdzPgKWKikJvFnVdvT5UVBmZmA/AIihrMxUXVw8XH9/a9exsZpDR7R6\nS6UuLh5uXWHkJAB0zmU5ee0lp+mDnQdU/sHxprHfLy3+Y7l+/l9TNDgnw8LqADiSw3Ny0jn56t+3\nj370u/Wqb2wO2fbcm9t14GCTvjvzPKUkJ1lUob245krkNqZp1pqm+ahpmg8Em8RW1FARrGGZGxrI\nvla/lq7a32ED+asXj9a1l5xmQVVAF5KSAqu+5kRYdTonR1q0yPI5mQAkho4+bH2+rEJ+v4VXN5CT\nANA5l+Wk1+vR7dcXa3BOesj4oYajWviHDWpu8VlUGQDHckFOnjUqVwtvnaTcE9YxkaSVmyv1P4+u\nC2swJyr7fhdhC75Wv55esVcf7mkK23bZxBH65hVnyHPiJDJwL59PWrFCKi0NPPpsfqI5Y4b08MOB\nSfxzcqTU1MBjfr70yCO2Wz0bgEt0kJUj8rJ09ujckN0+/qRWH+yMsJJ1vJCTAKzgpHNKl+Vkv4xU\n3XnT+LDbtz/cXavfLH/PoqoAhCEn46pgSJYWfWeyRuRlhW17d3u17nx4lfYfDL+wMtG4ajoLRJff\n79cv/7RFWyrC50Cect4w/dtXz6aBnEByXnlFw3/xC+nIkcDE+JmZgX+LF9v7TWHmTOm66wKrxlZV\nBeZiKimx9SehAJwr66WXpEsvDeTkCVl51eSL9c7H1SH7Ly/brjEjB1hUbRA5CSCOOstJ255Tuiwn\nPzc8R3OuPksPL9sSMv7S6h06vSDH2qmWAJCTFsnNTtf9cyfpx4+vDztn31lVpzseLNM9syaoYEh4\nozlR0ERGh/x+v377wnv627pdYdsuOHOIvjvzPHm9NJATRdZLL+mUhQuVfKjdBwq1tYF/t9wSmExt\n5kzrCuyK1ytNmWJ1FQBcLueVVzTkgQekurrjg+2yctxDDytv4CBV7T++gvWad6v0WU2jBp1wa3Hc\nkZMA4qCrnLT1OaXLcvKLEwq0becBvbHxk5Dxh5Zt0cj8/gndJAGsRE5aKzM9RffMmqCfl76tlZsr\nQ7ZV1zZqwUOr9P1vna+xo3IjHMHdnPORAOLqmdc+1HNvbg8bP3t0boerV8LFfD4NXrw4tIHcXk2N\nNG+e1Noa37oAwE58Pg178EEltT/hb6+mRt7583TFRSNChltb/frrmh2xrw8ArNaNnOScMn48Ho/+\n/Wtnh926feSoT/c9vl4NTcz/CcQdOWkLKclJuv36Yl198eiwbfWNzbp7yVqt2lLZwTPdj04gwixf\nuV1PvvJB2Pipg9P0/ZsvUGoKq1ImlLIyeRu7mPunoSFw2woAJKiM8vJuZeXU5k+V3if0RrC/rdup\npqMtMawOAKzX3ZzknDJ+0lKTdddN45WRFvq+VPlZvR58ZrO1i78CCYictA+v16ObrzxTs64aqxNn\ncW3xteqBJzZq+crwCy/djiYyQrz61i499vzWsPFTslN08xfzw/7wdRQnTUxvJ1VV8nT1RlZfH5j3\nCICzkZM9lvzZZ12f9NfXK6N6r6aef2rI8KGGZr256dMYVgcgasjJHutuTnJOGV9DB/XVd2cUhY2v\nfmePnl9ZYUFFcDxyssfISfuZNnlUh3fj+/3SY89v1W9feE+trYnzgRtNZByzakulHlq6OWw8NytF\nN34+Vxl9HHwFcmmpVFAgXX21dNNNgceCAunpp62uzP7y8uRP72Kuzj59pMGD41MPgNggJ3ulZdAg\ntXaVlZmZUl6erpg0MuyKhuVlFVzxBdgdOdkrJ5OTiK+JZ+Xpa58Pv237dy++p/cq9ltQERyLnOwV\nctKeJp2Tr3vnTFRmekrYtr+s+Fg/ebJczS2J8WEJTWRIkjZu+6d+8mS5TvwAJTc7XbO+PEx90x3e\nQJ47V6qsDExG39wceKysDExMX1pqdYX2VlLS9RvZ4cPSjTdycgA4FTnZaw3FxV1n5cGDUmWlhub2\n1bgxp4Rs2r33kLZ89FkMKwTQK+Rkr51MTiL+brxsjMaOGhgy1trq1wNPbFDNoSaLqoKjkJO9Rk7a\n11mjcrXw1knK7Z8Wtm3l5krd89g61Te6fy55msjQ1u3Vuu/x9WrxhXaQs/v20f/924XK6Rv+aYtj\n+HyBiedrajrezsT0XUtK0j/nzVNLv36R9/H7pT17ODkAnIicjI6kJH36n/8pX1Ynq9m3tkq33iqV\nluqqklFhm5eXcdswYEvkZHScZE4ivpKSvJp/wzjl9OsTMn6g7ogWPVEun4+fb3SCnIwOctLWCoZk\nadF3JoctSCpJ73xcrTsfXqX9B7uYjsThaCInuI8+qdG9v3lLR1tCwzwzPUX3zpmo/EF9u3cgu857\nVFYWmDOoM26cmD7K349DX/6ydi9YoOZTTlHYPdjtcXIAREZO2ksMvh81X/yi9n7ve5K3k9OrYE6e\nPWqACoaEfji3cds/taf6cK/rAByLnLQXi3OS88n4y8lK04JvjJfXG3q+/+72aj3x8jaLqkIIctJe\nyMmEk5udrvvnTtLZo3PDtu2sqtMdD5Zp1946CyqLD5rICWzX3jr9z6Nr1XgkdEX4tNQk3TNrgkYO\n7d+9A9l53qOqqq7fzNw2MX2Mvh81X/qS9tx3X2AOps648eTARnytPq3YuUKl75Zqxc4V8rXa5MQR\nnSMn7SWG34+WU06ROrtzQ5IaGuRZtUpXlhSGDPv90ourdvS6hkRHTjoUOWkvNshJzidjp7OcPLNw\noL51xRlhz/nTPz7Wuq0u+hl3InLSXshJ14uUlZnpKbpn1gRNPjc/7DnVtY1a8NAqbd1eHe9y4yLZ\n6gJgjb376/WDJWt0qCF0zpaUZK++f/MFOr1gQPcO1DbvUfvbVmprA/9uuSXwF/HMmVGs/CTl5QWa\nnrW1kfdx08T0Mf5+JO/fLx050vlObjs5sJHSraWa9/d5qm+uV/3RemWmZiozJVOLv7BYM8bOsLo8\nREJO2kusc/KzzwIn9Z0J5uSUr16k37/0fsh78Wvrd+uGL52ujDQHTyVlIXLSochJe7FRTiL6upOT\nV00epW07D2jNO6Hfg5+XbtJPb5uiobndvFsV0UNO2gs56XpdZWVKcpJuv75YA7PT9ZcVH4c8t76x\nWXcvWavbry/SpHPCG81OxpXICWj/wUZ971drdKAutBmY5PXozm+M1zmfG9S9Azlh3qOSkq6vnM3M\nDOzndHH4frQMGtS9/55uOTmwkdKtpZr70lxVHqpUbVOtmlubVdtUq8pDlbrlpVtUupU5sWyJnLQX\nm+VkWmqyvjhhRMimxiMtem397h6/fiIjJx2KnLQXm+Ukoqu7OenxePSf152n/EGh36f6phbd9/gG\nNR1t6ejwiBVy0l7ISdfrblZ6vR7dfOWZmnXV2LBZP1t8rXrgiY1avnK7BV9B7NBETjAHDx/R93+1\nRvsOhH6q5fFIt80s0vlnDun+wZww71FSkrR4sZST0/H2nBxp0aLO5xtyijh8PxqKixPn5MBGfK0+\nzfv7PNU0dXyiUtNUo3l/n6dWP3Ni2Q45aS82zMkvXzgybO7JF1ftkK/V39EzEQE56WDkpL3YMCcR\nHSebkxlpKbrrpvPVJzUpZL+dVXX65Z/ekd/P+1TckJP2Qk66Wk/OKadNHqX5N45TclLoz7ffLz32\n/Fb99oX31OqSc3sX/Aaju+obm/WDR9fq033hi/bc8rVzNKVo2Mkd0CnzHs2YIT38sJSfH3jzSk0N\nPObnS488EtjuBvH4fiTSyYGNlO0uU31z59/bhuYGle1iTizbISftxYY5OSgnXRedPTS0zP312vj+\n3p7XkIDISQcjJ+3FhjmJ6OhJThbkZenWa84J2++NjZ/o72/tinqNiICctBdy0tV6ek456Zx83Ttn\nojLTw6ek+8uKj/WTJ8vV3OL8dTqYEzlBNB1p0Q9/vU4VlQfDtn3rijP1pYkjTv6gVs575PMFPtmr\nqgocv6QkELSRzJwpXXdd+HPcFLrx+n7MmBH4SG3evMAnrPX1geNmZATe6NxycmAjVYeqVH+08zey\n+qP1qjrMnFi2Q07ai01zclpJoco2V4aMLS+r0AVjuUWxu8hJByMn7cWmOYne62lOXlw8XNt2HtBf\n1+wMGV/yl3c1Kj9bo4dnR7tUnIictBdy0tV6c0551qhcLbx1ku55dK2qDzaFbFu5uVK1h4/ov795\nfoeNZqegiZwAmlt8+vHj67Vt54GwbddNPU1f/fzonh24bd6jrsIz2rdYlJYGgrS+/niQZmZ2HaRe\nrzRlSnRrsZN4fj8S4eTARvL65SkzNVO1TZG/t5mpmcrrS8PJdshJe7FpThoFOfrc8Gx99Mnxut75\nuFo7q+o0Ii+r97UkAHLSwchJe7FpTqL3epOT/3rVWH38aa0+3H38uc0trbrvDxv089umqF9Gakxq\nRhA5aS/kpKv19pyyYEiWFn1nsu55bK127T0Usu2dj6t158OrdM+sCRrYPz2qdccLP3ku5/O1atEf\ny/X2h5+FbbuypFDXf+n0nh/cilss2lZBrawMhHZzc+CxsjKwCmppAi+aE+/vR9vJwYwZgUfeyGKm\n5NQSZaZ0PidWZkqmSgqYE8t2yEl7sWlOejweTSspDBt/oawiOnUkAHLSwchJe7FpTqL3epOTKclJ\nWvCN8WHN4n0HGvTTpza5Zq5P2yIn7YWcdLVonFPmZqfr/ltLdNao3LBtO6vqdMeDZdq1t67XtVqB\nnz4Xa23168FnN2vtu+GX2V8yfrj+ddpYeU5cQvJkxXPeIyesSmu1RJmHKsEkeZO0+AuLlZPW8YlK\nTlqOFn1hkbweIt2WyEl7sWlOXnROvgZk9QkZW1H+iQ4ePmJJPU5DTjocOWkvNs1J9E5vc3JwTobu\nuL5YJ/75uHHbP7X09Q+jXS5ORE7aCznpWtE6p+ybnqIfzp6gknPzw7ZV1zZqwUOrtHV7dVRqjiem\ns3Apv9+vx557V29s/CRs20VnD9V/TD83bDX4HovXLRYnswqqm2+f6Qq3vLjSjLEz5Jdf8/4+Tw3N\nDao/Wq/M1ExlpGRo8RcWa8ZYTlRsjZy0FxvmZEqyV5ddOFJPvvLBsbGjLa36+1u7NP2S0yyry0nI\nSYcjJ+3FhjmJ3uttThadPlgzv3C6nvrbByHjT/7tA512ao7OMwbHsnyQk/ZCTrpWtM4pU5KTdMf1\nxRrYP03Pvbk9ZFt9Y7PuXrJWt19fpEnnhDea7Yomskv98ZUP9OLqHWHjRacP1u3XFyspKcrBFo95\nj5yyKq0duH0eqgQ1c+xMXXfmdSrbVaaqw1XK65unkoISrqxzCnLSXmyYk1+aMELPvvahmluOX9nz\n0uoduvri0UqO9vu2S5GTDkdO2osNcxK919ucvG7qafpg1wFt+mDfsTG/X1r8ZLl+ftvFGpTjzHk+\nHYOctBdy0rWidU7p9Xr07WljlZudrt8s3yp/u9l/WnyteuCJjTpwsEnTJo+K8lcQGzSRXehPb3yk\nZ18Lv6XozMKBuuum8UpJdugfUlauSgvYhNfj1ZQRnKggAnLS0bL79dGU84bptQ27j43tP9ikNe/s\n0eTzhllYmbOQk+gUOQn0Kie9Xo9u/3qxvvuzFfqspvHYeF39US38wwbdN3eSc//eRAA5CUiK7jnl\nVZNHaUBWmn761Ca1+I5fMOL3S489v1XVB5t0wagozRYQQ6S7y7y8Zocef+n9sPHRw/rr7psvUFqq\ngz83aFsFtTOxWJUWAJyCnHS8aZPDF9hbzgJ7QPSQk0CvZWWm6s5vjA+7S8bcXaPfLt9qUVWIGnIS\niImSc/N175yJykwL78v9ZcXHenrFXrX47L1QKU1kF/lH+Sf65Z/fCRsffko/3TNrojLTUyyoKoqs\nWJUWAJyEnHS8kUP7a+yogSFj5q4afbg7wuI2AE4OOQlExWmn5mj21WeFjb+4eofe3PSpBRUhashJ\nIGbOGpWrhbeWKLd/Wti2zdsP6ckV1Wo86rOgsu7ht94l1m2t0s+ffjtkfhVJOmVAhv53zkT179un\n4yc6DaugAkDnyEnHm1bSwdXIK7kaGYgachKIii9NKNDni8OnW/rF0s3atbfOgooQNeQkEDMFeVla\n9J3JKhjSL2zbjn8e0a9e/ET7DzZ28Ezr0UR2gc0f7tPCP2xUa2toB3lAVpr+798u1MD+LlvcYOZM\nafdu6S9/kX7/+8Dj7t28kQFAG3LS0c4/M0+DB2SEjK3aUmnbk0nAkchJoNc8Ho9uueYcjcjLChk/\nctSn+x7foIamZosqQ1SQk0DM5Gan6/5bS3TWqNywbVUHjuqOB8u024Yfxjl4gly0+b/frQ+ZmFuS\n+mWk6n/nTNSQgV3MZeRUrILaez6fVFYWWFU3Ly8wp1VSktVVAYgWcrL3LMrJJK9HV1w0Ur994b3j\npbT69fKanbrhsjExf30gYZCTvcf5ZMJLS03WXTeN120/f1MNTS3Hxis/O6wHn92sBTeOk8dj/8Wi\nEAE52XvkJCLom56iH86eoJ+Vv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KK6SYxLhAMOJKUmwWw1w1Rsglal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\nZaTq59OH6WePrFL+vuBVih/+07vKSE/ViDNC508GbEdOAi1y7SWnanvBIb2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"text/plain": [ "" ] }, "metadata": { "image/png": { "height": 424, "width": 712 } }, "output_type": "display_data" } ], "source": [ "f, axarr = plt.subplots(2, 4, sharex=True, sharey=True, figsize=(10,6))\n", "axs = list(itertools.chain.from_iterable(axarr))\n", "for t in range(8):\n", " plot_all(perceptron, data, t, ax=axs[t])\n", " learn_data(perceptron, data)\n", "f.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "It is clear how the Perceptron threshold is progresively adjusted according to the data set." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Animating the Perceptron\n", "\n", "This results are better understood in animated from." ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "collapsed": true, "slideshow": { "slide_type": "skip" } }, "outputs": [], "source": [ "from matplotlib import animation\n", "from IPython.display import HTML" ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "collapsed": true, "slideshow": { "slide_type": "skip" } }, "outputs": [], "source": [ "def animate(frame_index, perceptron, data, ax):\n", " ax.clear()\n", " plot_data(data, ax=ax)\n", " ax.set_title('$t='+str(frame_index)+'$')\n", " \n", " if not frame_index:\n", " return None\n", " plot_perceptron_threshold(perceptron, ax=ax)\n", " learn_data(perceptron, data)\n", " return None" ] }, { "cell_type": "code", "execution_count": 24, "metadata": { "collapsed": true }, "outputs": [], "source": [ "fig = plt.figure(figsize=(4,4))\n", "ax = fig.gca()\n", "perceptron = Perceptron([0.1,-0.1],0.02)\n", "anim = animation.FuncAnimation(fig, lambda i: animate(i, perceptron, data, ax), frames=10, interval=600, \n", " blit=False)\n", "plt.tight_layout()\n", "plt.close()" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "" ] }, "execution_count": 25, "metadata": {}, "output_type": "execute_result" } ], "source": [ "HTML(anim.to_html5_video())" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Self-study\n", "\n", "* Experiment with the learning rate ($\\alpha$). How it impacts learning? Do you remember if we have seen another similar parameter in previous classes?\n", "* Create a new data set with a non-linear boundary. What happens now with our perceptron? How would you fix it?" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Suggested reading\n", "\n", "* Minsky M. L. and Papert S. A. (1969). *Perceptrons*. Cambridge, MA: MIT Press.\n", "* Gallant, S. I. (1990). *Perceptron-based learning algorithms*. IEEE Transactions on Neural Networks, vol. 1, no. 2, pp. 179–191.\n", "* Mikel Olazaran (1996). *A Sociological Study of the Official History of the Perceptrons Controversy*. Social Studies of Science 26 (3): 611–659. doi:10.1177/030631296026003005." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## The XOR issue \n", "\n", "Take a dataset that contains all the possible value combination of the logical XOR function:" ] }, { "cell_type": "code", "execution_count": 26, "metadata": { "collapsed": true }, "outputs": [], "source": [ "X = np.array([[0, 1], [1, 0], [0, 0], [1, 1]])\n", "Y = np.array([1, 1, 0, 0])\n", "N = Y.shape[0]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The data set has ones (represented in black) when $x_1 = 1$ and $x_2 = 0$ or when $x_1 = 0$ and $x_2 = 1$, as defined for the XOR function." ] }, { "cell_type": "code", "execution_count": 27, "metadata": { "slideshow": { "slide_type": "slide" } }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": { "image/png": { "height": 270, "width": 391 } }, "output_type": "display_data" } ], "source": [ "plt.scatter(X[:, 0], X[:, 1], c=Y, cmap=cm.gray_r, s=100, )\n", "plt.xlabel('$x_1$');plt.ylabel('$x_2$');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "It is evident that a perceptron is unable to solve this simple problem as it is only able to separate the space by a hyperplane." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "To solve the XOR problem we need to stack perceptrons" ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "data": { "image/svg+xml": [ "\n", "\n", "\n", "\n", "\n", "\n", "XORnet\n", "\n", "\n", "x1\n", "\n", "x1\n", "\n", "\n", "n1\n", "\n", "N1\n", "\n", "\n", "x1->n1\n", "\n", "\n", "w3\n", "\n", "\n", "n2\n", "\n", "N2\n", "\n", "\n", "x1->n2\n", "\n", "\n", "w4\n", "\n", "\n", "n3\n", "\n", "N3\n", "\n", "\n", "n1->n3\n", "\n", "\n", "w1\n", "\n", "\n", "n2->n3\n", "\n", "\n", "w2\n", "\n", "\n", "x2\n", "\n", "x2\n", "\n", "\n", "x2->n1\n", "\n", "\n", "w5\n", "\n", "\n", "x2->n2\n", "\n", "\n", "w6\n", "\n", "\n", "y\n", "\n", "y\n", "\n", "\n", "n3->y\n", "\n", "\n", "\n", "\n", "\n" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%dotstr open('imgs/05/xor-nn.dot', 'r').read()" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "But, how can we train the weights from N1 and N2?\n", "* This is known as a credit assigment problem.\n", "* Our current methods can dont determine how the weights of N1 and N2 influence the error.\n", "* Lets visualize it." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "### A \"handcoded\" XOR neural network\n", "\n", "Forward propagation for 2 inputs (x1, x2), 2 hidden nodes, 1 output.\n", "* We will be extending the perceptron activation as the logistic (*logit*) function\n", "$$\\hat{y} = f(\\text{net}) = \\frac{1}{1+\\exp{\\left(-\\text{net}\\right)}}.$$" ] }, { "cell_type": "code", "execution_count": 29, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def logit(a): return 1.0 / (1+np.exp(-a))" ] }, { "cell_type": "code", "execution_count": 30, "metadata": { "collapsed": true, "slideshow": { "slide_type": "slide" } }, "outputs": [], "source": [ "def fprop(x1, x2,\n", " w1= 0.1, w2= 0.2, b1= 0.1, \n", " w3=-0.2, w4= 0.2, b2=-0.1,\n", " w5=-0.3, w6=-0.25, b3=0.2):\n", " y_hat_1 = logit(b2 + w3*x1 + w4*x2) # N1\n", " y_hat_2 = logit(b3 + w5*x1 + w6*x2) # N2\n", " return logit(b1 + w1*y_hat_1 + w2*y_hat_2)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Error Surface of the XOR Problem" ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "1f5dd25f543942c59bdda9c7b6489ef4" } }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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qpoqXy4iHNcvEUh2JQ0BTVhH2ceYr2mkbDFiJsIMyv0Ui+yU9cSQ08K5deq0e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5P0NF4IlqUly579A3BxOSPPkw6to11ax8+ezHo83ptHPnxVzsaJRFIKaufXZC1hrVgIT6HW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kUWAxi0/6JcauQ50dwZZ1GSwoquq2LcwiVsUQVPqBmchRERAIrAAvNWYXVJWXqdX0o/LZ\nJCWyFI5rSdKtXW+CQ7q687QsZTnqxW3Y49a8WfvpOA7dbnfPDbHdbh8cI+8KLMvaC0TOIpVZQvH4\neB+d/0PnPo64k2R07q+jXWy9XnNycpJ43+RyOY6Oji5NKheLBScnJ9vjbLfbHB8f35qK0T2uHvck\n5acMi8WCbre7t8IekZt8Pn/tKy0XDY98E7yOEGWJ4q/7pXdIOB5VsOLWixfBZW15z5Mnct406zgB\nTlslt1qtWz+p+OZfeo//69//cC/R3bJdWtU8r/rTRBgjgKoq6L6099x4goRhgOvGUtyDgIXpUDAU\nFqaz/byeU3EHK2ZLh8XcSpAXURQZT5aZZMSyXNqtUmaS+3iy2rpypZHP60mSEgS4roft2NQqOu6G\noDiWv1l93V377qsJraMyvQwCtD0nmsS4f9jyFqBUNpiM900EAAJpd48c1Qv0n4yQJGEvA0YANElh\nZPko6q6Vylc0WrqO+cU8dFQzRMabc1fUFJYvV5Q6eXDsbetpLafSH42w1k7i3AspzUiuqGPKFuNY\nSn0gAxbUFJ3+pi1s6dibfRRYDExyBZWBv3smmrkcgitAamgSMnjbcTWbpFykteuqkdWyBOGYk3YX\nS+tcsmzY0zoXVVVZLBYMBoPE8/YuiMcPta2dt8IQP/fxCkL63B/KFclqF0tXXC7bquf7/lYnEt9+\nu92+dJ6L67p0u91tK5xhGLz//vu3drHrHleHe5LyDuGsSoppmntCQwgH/Gq1ymeffQbcDuJwHX8r\nfVxZdsI38dIzTXOPJIqiSK1Wu5ae6sva8h7KE0kTl/jEfLVa7QXERau5lUrlTkwqdFXhG1854j99\n+iLxued5zOaLxAs/qmitPRFdk/d0Jrbr0amX6Y13k4HovquUDNbOnLwqoSxdFs/DybrvBECwtyJq\nmgKtRpHxxEaUpESr2CIjxwViBKa/Tyb6gzk5XWG1dvA8D9u2t8+IbbvkfYG1L6HrKllzimF3TrWW\nY3yAZNTKuddWUYy8mqmNCQiYzMN7qF7OMXgaWsuWGgUGy/T3AxbD5JhmFDTGrk9TzWFLKzzXRcmr\nsGn1yvsCc0kKNSoxvi6uPFaaHwZfbsYmRRF58bSP6wQ70qJCQzEY+bvzug7C75ubNi1ZEZnb4cab\nuRyLwZJ6J7/dBwDdE0EBYo+eJAh79xFkt3tltXbpuk6n07l0n/9VQJZlZFnOzLY4Kz8qS+cSR6SR\nLBaLd2IsOYQs692ralt73bmP//90u1ha1wjskZbXtYstl0tOTk4SC1RR2PNlCHO6FU4QBI6Pj2m3\n27d6seseV4d7kvKOY71eZwqWo5U2TdMSZOGmWrBgN2G7zhdOmqSkNSfx71wnLMui3+8nVg7h7QjH\ns2wyz5snkg4mi1bzHMfZm8BHx3bbcxbS+IWvP96SlHgY43oNuiqztt1kGKMf0K7mOElrGQj1EXFE\n7laOB19p1Ok+HeMjoRsG/sbxrl7L0x8kqxBBEDBbmKHIezMBiIi1bdu0myWG49XevbxYrBEESK9d\n+H5AoaAxni4ShKha1HDHDoVaEc9ZH1z08H0fc26Rz6ssU21jxaJG/+RsgiKJAuOMYEmASr3A0LTI\nGyrr/nK777IhQ2r+etwq8yrVBpcr66xdi9PPe9t090AVwYVSIYc3cNE1DdnIkfcE/CCgoMk4r5aY\nUoAAW6evoiYzWoTHF42Nk+WMYOWzNt2QuEgiE9OkbhgsBiG5yhd3GhXdE1kAoiJtgyxlUWTSW5I7\nSpKJZi6fsC0GKOkaBW03ec0yocgKwLtNOJRtEbfmzdK5xOE4Dq9evQLevtbiMshqybuJtrVD5z7d\nHmxZ1rlb9dKVdoB+v793bEdHR5d2W0s7uBWLRR4/fnyrdIz3uH7ck5R3CPFBzrbtPS9y2HnIx3uL\nbzIFPv33rpukxFvL4i03N9HWBdk2oBBeh1ardWsEn+fNE0m3DkTEJQ5BEMjlctsQytuSq3BefPm4\nRqua50V3vNcaVy0ZTJbu3j27yrD7BRhMVhiagrn5d1EQOC7lmTyfIdZkoqQPSRSQNtsUS9Wy6AAA\nIABJREFUBIV8Pp+4Z30/nBRXyjqTabhaH7dEnkznmKa9l+UyX/i02+UE6QmCANdxePa8hyTvnoHj\nRpHFyQpRlJiMV3SOy2dqTyzLoaBKKKqEE8v/0GSJxWukcbVWkf6BdjE1pyDbDqrjM485ja2s5ASq\nWNAQ/NQfCmDt28hri2XMNCCQZQxD4qhQZNAbIUoi05UFQug4VlN0nI6M49kQBPibxYxy3mBqesmF\nDQEW4/C3nu+jyRLTxRLDdDHN0BDBF1V8z0eVZSabtjBX3E2+W0aeSW/Owk3eN7ovcpr6LKqiBEHA\naDRiMBgkJvKVSoVms3mnnjFI2rCXSiXG4/Ge8FtRlK1RSBxZbUyRziU+gT6kc7lJxA1qrsp6901x\nVrtYWmN0qFUv3i6WRqlUotPpXNpWeDQa0e/3CYJQM/bw4cNrC+a8x+3G3RrV7vFaOI5Dv9/fs7HN\n5/MHBcvx7JKbrKRASIqu8+Uaz6/47LPP0HUdwzCuTCB+CJ7nbR270nbCrVbrrbZjnBeH8kRM02Q8\nHu9VhSIEQbDXthEXa8a9/W8bgiBgMpnwuK7y5MVusiiKIqqq4voSgrD/jEwXayoFnUlG61WloGNa\nDu1SHme4ZvB5SFhnizDTg9Q8e7W0aTWL9AbzvfvTMDTMdbBHuhdLm3JJYzqz9p7jft/DXHuJNsvo\nnqzkNaa+w4N6mfGrOYIY155MqTWLjEaHJyOL+Zpao8DIWREEUK/nGXYPa1UiuO7httK169HIaQxe\n7lZldUNJtIaJooCydllHY0nAtm2NNay7mxT4zXWzAwFVEZm+DElXoWawCsLra6gyo5cz6o/KMLe3\nxKVaMBCl8L5l0xbq+T4FzcCUHbzNuddyEgI+5tjeXpOVa7K2LIqaxnwWEpfRKgxPFEUR0fRRFYlJ\nbAKoSXJm2ONxpZjZInQbWruuAlErclwXlz62dKU3i6ScpXOJE5ebzJCyLIuTk5ME+XpT693rxCFL\n6rTOZb0+XGUFmM1mzOfzvRbh1zm7pcX21WqVhw8f3sp3xT1uBvck5R1Ct9ul2+0mBg/DMLYp8Wfh\nJknKVSXBvw5BECQGt6zSdfzlZRjGGxOXQ65WmqbRarXI5/N3djUoEsX3+/09UXy1WkUUxYP95lli\nzbhQNiKOb2vlMyJW3W4X27b5mffK/LsfvCQISIQxhnkmeQaT/VYlXVMgg6T4ns+RrDN+kmxLWi1t\nms0C/QyBuZNhHQwwm1s0m6WEFiSaGKuahiS5e+2My6UdVmBm+1bAth3QzhkMn0/C+z527gPAXFio\ninzQhQtgNFjQOirT7c9xM8MgkygUNcajA7oDTcaQZXpPhonPi7U8y+nuN51KntHzMbbrbdPiQ1OB\nACUQMN0ATVWRZJliLUffc3hQyTM8DfUtal6FRbivdV1n4K1wU499QZCYRBbSm8pruWTgm6BtKtFB\nEFCq5VECh+lkgShuJnWbNj/RjEJBfUaLJQGgSSIveyaleg7H3on0m3kDyQdixYTAD6iIPs+ePdt+\nJkkSrVbr0iLk24Ks5PFDbWuHKr2vmzxn6VyyrNivesHqkHj8OnLHrhvpdrEgCBgOh/T7/b3vxd/n\nkW11VrvYcDjkBz/4Ae+99x4/+7M/S6fT2S7qRd95/PjxNuj4Hj+9uCcp7xDiK6Sapl2o1/UmHbfS\nlZSrRjyIsVarIcsyq9Xq3ALxyzhbHXK1kmWZZrN55ycUy+Vyz7L6LDeyeK5C/L/XTSDeRpJ1pNuK\n70feUPnGh8f8+MV472+LB/ZlOF0iiyLu5hnSFZm6ojH4bEKrme3hb2esnANMJitqtRyjDGG6lLoX\no0nuauXRbleZTs1Elktowb2/6lkpqNjDFU5e3V7XtKuYubJotkv0h2c7dfVOpjx+v87J8/GZ3wPI\nl/RM+2NRDM0BXn4+SJAlgCDWltao5uk9GVDtlHg5mePGCJRRUPBmQTih2mxDK6gIK4dVd3d9vc0Q\nJIkCs5Nw5X0ea9nTFZnVyGSpJc9bXlfoxVrnBEEAVaJgi6y1ze+DAFsRKcky5quwiqLnJZYbQUpF\nUpgFa5D8xFgxmXvIJQXbsUNXNs9HJuDY2L2m32aL0FXhUPvTRR3JzqNzicagdIZUlqPh64xBzous\nPJeozfquVwSyql5x0X/cTTI691ntYt/5znf44osvtp8VCgUeP37M48eP+frXv87HH39879x1D+Ce\npLxTaLVazGYzGo3GhQWUb8NxC66WFGVlnYiiSLVapVqtAuHxWZaVCEF8U+KSNYEXRZFGo7GtMNxV\nWJZFr9dLVEAEQdi6kR16iR/KVXidUPZQknX63F9Fy8YhvVAk+BeMGv/l5X/Y+11/skJXJNapaofj\n+rRrBfrjJUfFPNMXM4bOGgHhYGVkOjWp1fKMMioLh8jQYLigWNSZZzhjqcpuSPc9D9dxCQiYzS1K\nRZWl6SNLEvW8wuCLsCV0vHYp13JMx+aW3Mfx7OmaZqfIaLxG2gjF0+e+UNA5+ckAQYBOq4hpu0xn\n+/snCDAdJ3UH+bxGMacy7c2xlus9gkIQMF2GVSBNk1n357iuy9IxEwRFkiTajTq97jxZEVIE2qU8\n0/6OQK02v2sX84x6I1RdYRYL3mwYOp7ggp2y5hb373c78Fj3dsdk5FRWODwslBlqYXtZo1NkuZ7i\nez6iJSGJIr7M1n44J0vMBxaKEeA6bqSv52eP66FeSZKoVqsUCoU7vdixXq85PT3da3+6SNjkWYjr\nXKJV+Hj4bXzynNabZRmDZLWpnpXnkjY0kGWZTqeTsIW/i/B9n36/z2g02n4mSRLtdptSqbQ9H+dp\nF1uv13zwwQcJkrJYLPjkk0/45JNP+L3f+z0grKZ89atf5Z/8k3/CN7/5zRs60nvcNtyTlHcIqqry\n4YcfXuolFk0234Ym5U2RZSd86BxIkrSns4iISzSAmqZ5LuKSJeq8y65WcRyawJfLZZrN5qVWBA9N\nINIuM6ZpvtYeUxTFLXGMWsXOS1x839+2FsT/TqFQ2DreAXzlYYNayWCUyuYIgoBqOcfJYF97oQkS\nZUtkOEiet8lkRa2aZzTeJyOH9nk4XFIq6Zk2vYauZJKUwWCOqopMJos9B7tSqYRh+Gh2wKy/IJfL\nhc+M7xO4ArqhYVtOhl23z6A3Q8uprFbWdp+jaouiSAiOi7exzu29DI+9Wsuj5RT6oyWeF+5LvVlk\nMFiEmRD1PL7lMu6GPlh6TmU43D8/xVqeyaaNrCAKdIczPN9HsMN7UBAFVEUln9cQM9Y8Vq6Lttz9\ng6RKzFYWAmAPN25cVZ2ZEx5bVF0pHRUT9sCaImGl2tkEQBdlll6sxbaogu/gzHY/DhQB0Rap53JY\n0zW6YaAWDQxRwPd9WorOQJyxTAnEv96uAOEYNRgMGAwG4b5cUYr7TSHa//gkVxAEms3mtQuiD4Xf\nRjqXdMtYHGdlisTP/XK53DM0eBfyXCC7MnSRqldWu9g/+2f/jF/91V/lyZMnfPHFF5ycnPDkyZNE\ne5zjOPzZn/0Zv/3bv82//Jf/8uoP7B53Avck5R3DZQf7eLtXNNG/LsRfpm9SSbkqO+Es4nIeZ6v0\nShyEK0mu6zKZTLYal9s8eUgjK2QMwpJ+q9VKVEauAlkuM1nEJd2yEQn4IxF/tK30qmc8kCzy3O/1\negliGbVGxvvdo+39wkeP+P0//vHefs9XSRJbyetoa+j9lyGVSg5z7xfhZDoLw+GCYklnnlF5MPTs\nLJHBcIFhKJjm7h6M7JJVVU0ExKmqiizLqKKEaruMhsn+fEGS8Dw4OqrR7c5Cd6uUs5jv+QhBgCiA\nHySdxYo5kd6rYdJZTBIZD+eIIxFFlWi2iqzWDooi0WkWmfbnDJ+NEsdUqhdYZbiJGSWN0cCmkpN4\n9XkXCMMil6aLqirIsgIClBVlL+xRkkRkQWAa0/0UqzmWnkWrmGP2JCRUsqHAhqS0innGvRE2ybGp\naRgMUu5T+ZKGv0wSC0kXqXg6s5e762ZvSiYlQaHPGoKAuWUjiAKSIGFOHNScxCLYbatRMPivjlvn\ntoaN2pXS7lZvE1EbbLfbTRzDbWh/Okvnkl75j4+FhzJFIkQtvqVS6U4TlHSAIoQLc51O59K2wo7j\ncHp6ymKx4OjoiA8//JDHjx9vCUy/3+fTTz/lRz/6EZ9++inj8Zi/+3f/7pUczz3uJu5JyjuENyEW\naeJwnRPrN7U8vomU+CxnK8dx6Ha7B12tou84jrOXJXIVvc7XiahPvN/v703gW63WpV9Kl8Eh4hJv\n2Yj+i+9rEARb4hLflqZpyLK89/3zCJB//muP+IP/8OO9nJHFyqJWMjDXDnVZo/9swpqo5SF7YnI2\nGVEyPx8M5ntkBMKck3LJwDSdbRtddGyT6RpVlSAQkRWFnKFSEiVGT4aUKrnM3BSA3umURqvIoL8I\nAyPj92gQGgAcH5c47c625KVS0ZichgQgTlyikERBEBDXIsuFSbGc47Q/39oup7Ey93UqBAFz00TE\nYfjFrjpVbpXACrbEr10rYE9M1qkgxELNQHEgrqiRcwrMLURz911b2J0QZxxeh5m5W5QQBQFnbm9D\nGyPkcgq9k2R7mStAWVJDMrLBzLIREJgPw89yRY2BH+bv5IHZZE2pEVbwRFFE1VT++2/8JR49ehRu\n8xwp7ll24BdpV7pqpHMu4M0nudeNs3Qu6fN/6N3lui4nJyecnJwkxv6IPL5t4vg6HNIMvUllKHJN\n7PV629iB9957j2azmbgXm80mzWaTv/pX/+qVHMs97j5u99NyjxtDmjhc5yT6TSopcVH8TaXE+76/\ndeyK76+u69sgxrjG5VCWyG0lLovFgl6vl9jv2yb4P9SykUVc4hWuSCSbRrSKGlXMDrn7lAs6X33c\n4odPe8nfiwIVVcN6sWKw0Z1EGAwXFPIai+W+m5ahqwfIyAIjp2Cu9slIZUNG9n4zXBAEHubKIiBe\nTZR477hOr7+gUy8wezlltMkYmU1WdI4rnB4IW1zNLRRF2tfQCCAKIuOhyfF7NYaDBbmcijMz0TRt\nzxI5Qpy4+L69WX0OM2HiAv1Ko8gkdV4818X1XFZjj5wXYHkB0sZSOFcqMtuEZ+qazOJkRrlTYpwS\n+Bs5le7TZMXGEwPKOY3Js91iQ0RImkWD+ZMpuaLGKHYO2qUcouVD6tIpgbSnoVl5DuIo7uwnMXYd\n2rk880E4YVcNCcsM7aJrkoYJiKqEJqhIUkgifuHLD7bbOJQknmXLex5XvXS72FXa8mZVYwVBoF6v\nU6/X71x1IZ3nMp/POTk5SXwnIn4X0bnEr8F1m4OcF1nEUtd1jo6OLl1FT9swl8tlHj16dGsywu5x\nu3FPUt4hXFUl5bp1KZeppKRbu27iRXeouqAoCq1WK+GcFl95i1oGLkpcFEXZ6itugrhkuVqJoki9\nXqdWq92JyUSWUNN1XVarFePx+GBLhud5zGazxPk/1Of/i19/nCApR6U8Zs/kZDBEN2TM9IQ+gHwh\nm6ScWRkpGnskBWAwXKLIEk6sSuC6LqbpUC1rrFa7ZyKyS16vXY5LOfqfD/e315uRz2ssM/bPNO3Q\nTvj0cIjjYmJiGCqaKLB2g72VYT/YtYhFxCVXVJhsE+YDPN/D83fHo7sya9NCFENRfkhqfIr1HJIq\nMH25QNu0rYHAdLljCxVFYWgucTLKQ6Kzvwgyt2zKokJ09HpBZWKHz7e8Dr9vlHVY7ypy7sRCq+gJ\nkiIATipgUhDCvJPZavdFo6gxZoXmisw3rYxLK3ReEwVYDO0wiLBcQFqFz+JX2jXqhbOF5FnV3ixX\nPcuy9swp0u1K8VbJeJr7RceALP1C3P3pLiPeqhQhXRlK6xsvo3OJn/+bIi6RrfBgMEgQyzfRDAVB\nsLVhDoJwnHj06NGFTX3u8dONe5JyD+BmSUpUAclyEkojXTm5icEtCAIWiwX9fj/xgpEkaevYddZ+\nZLUMpB1OTNM8GEaWJi7pLJE3JS5R4Ge8nx3ubnJ1HPEsl/h9rOs65XI5YT96HnMEVVUpaxqaLKDJ\nEpolJvJODhKLwQJdl1mvk5NY3w8olw9URkZLZEXCTZEe1/HodEqcbNqswkyQ8DuLpR3qLmRle906\ntQLTFxPERrajkOv6lA0lk6RAaCdcbxYYDrKzTCzL5WGzwOg0u+1RFEJNCrHbtFLO4Vmh4D18nr3E\nZGg2szLHA02XGL2YoSgygigSAMWqsRXSt2oFhp8PEUVhrxJTLuoxYrTZnqFg+wHjV7trmCsbTCyT\nkqExfh4ek6BJW0LSKOaYP5kQlJL6iXY5zziVi1MoaahucmxQDAl5LTJ4NcU01/hBgLJxCWsZOexF\n2P6yjCXN/8IHD7gMDrnqvU7jldUqCecX6Ge1wsqyfCEb/NuKdAJ6hHq9TqPRSBC5LH3jeYhjls4l\nXsG5iB3+RWGaJicnJ4n30ZsSy/Q26/U6Dx48uNPvlnu8HdzfMe8YBEE4Mwn2EG6SpMAu+OnQ38qy\nE76JF51pmvR6vb2XRVRduCxBOA9xyfLuz0pRjhOXiLycZ788z2M4HDIajRL3SNrV6q5isVhswxgj\nZFW9Ipxn1TOqeH3UyvOf/sNLAIRNi5IkinR7U2RZ2ktQ9zyfZrPI6el+W9VguESWxb3fuI5Hpx1q\nPtIYj1c4tpUIVRQQ8AORRw/r9PpzSgUdzfYZbqonvZMJ5XKO6XS/mjTsz2l2SvQPpMOvVzaKLOJk\nJMN32kVe/UUPVZNptor0e2cnzFcbecb9BZIkJe7TIAjwA59yI0+vv7+NSkVnMVjiBwG248BmdV6v\nKVhrB11XmL0I7+Vio8Ag5rwlCJCXRE5SQvpcRaeoywz8mFOcLoEFJVFiEB1/rMqjWOE5mK6S94bi\nBlgpDYxuKIx7SXLn4FEIAsbL3b6sAz9sH5LyjMQlsiIy29y3qiTxzcdH2SfzEjivxsuyrL12pUOu\nhnHSsl6v94w23hVnq6wJvGEYHB0dnXu8PC9xTBskxBdU0gsnaeJymcn/eW2FL7rNXq+3NTNRVZXH\njx9v77t73OOiuCcp9wBunqRIkrQJmUvbnQaJFdWbIie2bdPr9fZE8ddZXTgk0sxyFYtPAM5DXOIv\nriAItpqadHWh1WrtuVrdNRxqW3tdTs0hV7esVr2vfVDnP/9/J3iuT+D7eL6PR3jf1OsGs/l6Q1yk\nrc5iNFoiySJeFhnplDjNaKmaTE1EUdiGLwaEuRmr1YpKVWM03rQlyTKKoiCKIpblcFwrMHw6xIz9\nqSAAUTr87Myn62z9CbBa2rSOKnRTJKvTLtJ/GpIg23IZvJrQOq4wHC3w3OzFkSAjSBI2z3YgYKfG\nAVWTqeQ1PMvFtvZJkrNZ3NB8gdk4bJnRPBXL2qW3HzeLBBlFWtlQtuGNEazAR1ckRi931yMiJEVD\nZfx8Rr5qMIyLiAsGfsYwqUkybtRitiFX/ZmDZu6ug66rWLJCQVEYbwIm8yWN2cYT7i8/6qBfs+vV\n62x5zxLoZ40/EWRZplar3fnqied59Pv97WQbzme0cV5kEUfY19hZlnXQICFdtUoTl7N0LovFgpOT\nkwQpumiY5uu22W63OT4+vvNE9R5vF/ck5R3DVVRSbiJ1Ph0eeZGsk6uE67oMBoPEywhCi8xms3nj\n1QVBEDKJS9bE+XXEJRLbOo6TICeKomwtMu/yROJ1YYyXedmeVfH6uW8u+JM/fbYh0cHWImuxsBEA\nz/Xw2J1ncy3QahYZjW3EDXkRhFBiP02RkQjrtUO7VeK0N8PzXGzbIdg8j9baQxQFVHXXctOo5nFH\nK8Q8ZD224+GS1lGZXkZFZ23atDOISIT+yYRao7C1LG63ivSeDvbcufqvJhRKBkJBYjZJVi7qrSLD\njMpQEATYjo0oBYxHu4lSp1PBnqwxR2ua7zdYezNgt3AR4LNce1RLGrNnu/1eu95WoK+rEq9+/JJ8\np8jacrdVL1EUUQQBK9VqN1tZNHIGQzfKTNkRkrIoMwD0ogax6qrhgqCJpL2m7ZUDQYDredi2TeD7\nCL6CM3aQJBlVVanWc5wIaxqazjAI90XRZSKRzM9/+XKtXleBs2x5z2pVjeC6Lr1ej16vd20hrNeJ\nQ5bJbzqBPy+yNHbpiu8hgwTXdfcWatLERZKkvcBJRVE4Ojq69GJV2qrYMAzef//9+8T4e1wJ7knK\nPYA3twW+KOK5LHFXoJt07Ipan+KkLJfL0Wq1EpPUt41D7QJZE4esF1cc0YvLcRyWy+WdsMRM47xh\njFeFiLj8D3/9v+bPf9iFAAIg2Ny3nu9Trxv0B8uEt2/gB0ynqzD1fTMZje5v27Zpt0sMRysEQUxM\n++cLk/XaxPd2xxaKyUUevtdkMFpi6AplRWb4JGzVcNYOqiZhW/vP7nS8RNVk7JTIG6B3OqFSzTMZ\n77eEBYC9dpBlgWo1z+CL4UH74MUsJF3t44j0CECAbe1rbyJCHRBQrRexRib5vE6tlGOycR0TRIHx\nNvhS2JA8iUq7wNzzkec2hmGEWjUJVuvdcRvA3PGZr5xQvO952wT3V593Wa/dTZaLRKFiMPM8ljF9\nTURINFliHFVXlN2YlNcVRi+n5N4vJ46rZGhMZivWlrUdQ428gi6rrDQJWQqdwJScAtYadxbLuJEB\nCyqGzlePm5nn+G0huv91XWc8HicmuMDWrOEiOou0zuU2rLZnOVupqkqn03mr1ebX6Vzi74H0+c/S\nGcVRKpVotVqXyquJcqe63S6e5yEIAsfHx7Tb7VtNRO9xt3C3Zif3eC3eNMwRbk6TAuGE5Sc/+UlC\nX3GdAYiHWp80TaPZbFIoFO7EAHuIuCwWCwaDQabtLoQvrrSzTDpLwTCMW0lcopdiv99P9M7fVJZL\no17g61875s8/eYXATpsiA6Koksv5BP5u1d/zfSzLo1LWGU/W22OIVvzH4xnmytkSF0EUCXyf5XJJ\npawxmVrhpHbT2hVWSeGoXmD8bMIw1qZlWx7tozLdDGtha+0erKYEm/yTQ9kpy4XFw0c1Tj7r7f9j\nCr4f0Hsxpt4qslzZFCs5+rH98TbVBT/Wh+W4AQ8fNFj2F1uCAlDrlOmP9omTmtOo2i7D3nLb2lU7\nLtPdCNgbFYPh530q7TJjO0mQ6jWd4Wi92VcfXBdHkNADkclotd2eJ4ZVskZO31ZXTG9H8GqKyoBl\nUqMSBGiBy8ls91wJQLGaR/AkbHn33UAWqKAzjYU9RhqYb33pPcRbOP6Ypsnp6WliXNF1nU6nk0gS\nP49AP0t7d16B/nXgkLPVbbZMfp3OJU5c0gtVcUQOh+l24Shb6tC70LZtTk5OtgS0WCzy+PHjO69r\nvMftw+2bidzjrSBqRYkmUdeJIAgSriFn5YjELXnf5GURd32K9/jetjyQy8LzvG3bWloUX6lU9nrN\nX5elkBUC9zbToVerFb1eL7EqKEkSzWbzRi0tf+WXvsKff/Jq7/PFwqLZKDIYLBL3aQComoqmBXtV\nw+XSoVzWmU43E7nYc+cH4UREksI2sSAIqFfzBJM1gSLhZehIeqdTytUc04yqSP90SqWWZzLad+ya\nTc2wApJBcFqtIq9+fErzqEz3dHqwkhLHqDcnV9BQgE6nFFremiaO46HpKgRhqkuhmEeSFMYvxvsb\nORCIKcsiJ58l2/skXYHFGk2VMQdLZEmm2qpgDsLqSBAEqIqIIcuIkhMSlOj+VwS8iZ3QwQ2mU0zL\noTdc4doBsiQymof5LoosMXk5I1/NMfDcbWsXvosZI86SJKGpKuVSgVfPkvtrBR4lUWUQ2YcFAbNN\n+9RlXb2uC57n0ev1Ei2VoijSarX2nrvXCfTjE+eLCvTfRCB+FlarFaenp4n2tVwux9HR0Z2zTI6f\nf9iRr36/n/ieJEl77/isdmFJkpjP5/zJn/wJrVaLjz76iC996UtbW/4gCJAkiYcPH17apvge93gd\n7knKO4Y3zUrJErNfFeK6k3q9jqIo23L0eQMQ0zki5yEuq9WKbrebWL27a3kgh3AoaNIwDNrtdmbb\nWpSgHNe4nIe4SJK0d/6vO73atm36/X7iPhAEgVqtRr1ev/EAzIcParz/foOnTwd7/5Z264JwNX2x\nsGm1yow2BCEAgiDMEZElmawyxmxmUSioLBY2khhgIHL66QtEUSRf1PEDD4KoNTI8/0EQ5QoG288i\nBEHYnnaoYjLMyE7ptIr0noTH2Xs5oXlcZthfHBTCx1HIa7x62sexHRzXIZY1iawoqIqCWpYZnEz2\nfqtoSqb9sZ5TGD3fJzSLdbjoUMtpDPrh/WqlWuVqOZ1AkdA1Z3M+wrGokMvRezXaLtAIAswtl5qh\nstzsg5ZXmaxCctwpGCzmK7Sqims5uI6L5/u0DI1AANEVtu1PCALY++dqblt40931yRVUBr7Dw2qZ\n96q3wwXpUOr4RbUZVy3Qv6hA/BCyyNebOlvdJmS5khUKBTqdDoqiZDpLptuFPc/jt37rt/jTP/3T\n7WeapvH48WMeP37MRx99xLe//e07b5Jwj9sN4TIi6w0u/cN7XB88zzuzvHsW/uIv/gLLssjlcnz5\ny1++sn3KshNO4zwBiFlIv7DixGW9XtPv9xMTbUEQtsLqt5XwfhWIKkO9Xi+xKqmqKs1m88Ivjoi4\npDUuryOskiTtVbyugrgcskt+kx7qq8KPfnzK//q//XHmv1WquUx9R71eYBhLQ4/nnURkRBAEJFna\nWAv7lEsqouszP13sOYTVGzmGgxUCJJLbRVGkfVyhfyDDJKyY7BMDgHqzyHCwQBAEWvU8/S/2gyDr\n7RLj8RLfOzz81xoFei+GoXA8du0kSUJVVURRpFA2WMwtsl4jzUd1ur20y55BTlc4eZWs9uh5lbkk\nUK/mmG2S5UVZxCtqeBui0qwXGH8+QGwWsO2YhbMA1U6J0UlIgIMgIF/R6WJTdQTmwyVBEFA6ztO1\nQnOEkhlgr1yKDwv0Nu1eogCFhY/aybOwfURJClv4BIGcLrOICfV1Q0Zuaiye7Ugzr754AAAgAElE\nQVRYrZ3nhbfk7/zcR/x3X7u6cfeyWK/XnJ6eJqqWN6HNOM/EOQsXEeindRQRKpUKrVbrTr8T4LAr\nWafTee07If0OWK/X/Ot//a/53d/93TP/pizLfPDBB/yDf/AP+Bt/429c2bHc453EhScG9yTlHcOb\nkJTPPvsM0zTRNI2vfOUrb7wvcXJyGceuyxIXVVW3/blxlMtlms3mW53gXgWyKkPnDZq8CLJeWmlx\nZhYi4pLWuJxnv4IgYDKZ7IUxnlUZumkEQcBv/ta/pdfbd61qNgr0B4uMX0GprDOdmNiOgxu7NysV\nneXSS6wIN6o5nPEaSQgYDxeJVjE/CJAkAVkWsTKE8qoaTpJ9L0lgQEBRJURZwjLtvd8BtI/L+KbD\n8GU2kQGoNAosFzaOsz/OyLKAvV5jxioyURuKJMvbN1TjuMLggKtY+bjCOKZHabYKjJ+PKXfKW6ex\nCPVHVfrzNQUvYDUNJ9XVTon+hkDIskjO8ZE1hVFKo1Ku5JhOkoSy8bjCWghYPA33LQDKj0u8nMyp\nGQqzJ1OCIEB5L8dsk8vSzKnMny1w2xqut9M0HJXzDJbW9vwLgkCtXUCUBQavdvdI82GJF+sF3/k7\nf52i/vZ6+rNyM940dfxNkTYIif7368agLIE+sJeBpWkanU7nnXCims/nnJ6eJt7/b0q+FosFP/jB\nD/jJT37C06dPefXqFU+fPuX09HTvu48ePeLf/Jt/c+n9v8dPBS48iNy3e71jeNN2L3hz4XyWnfBl\nWqoO2cFm5YjEkW4bALZ9uvP5fCvOv2ttXpZl0ev19ipD19X6FE88LpdDJ6PzEBfP81gulwmXnPMQ\nl4uGMb4tCILAr/zSh/wf/+d/3vu3/nBBoaCxWCTvybABK0z1TlQXZAnbFqlUcqxWFvmcSl4QGT0J\nV0IrtdwmBHE3VIfPl0e1nqO/SaH3Y9u0bY9aI8dokJyAi6KIZYu02iXMpb93/+cLGs5sjZ9BPuKY\nDBYUKzlEScBa79qnbNtGVuUdQRHYtvrEtSzFisEgIyMGIFc0tgRFEDa2x5/3MYr6tl0uAVmiVckx\n+HzXfifnVNiQlGY5R//JgGajCMMUScmpeyTFl0XUmFOYAFib3vtg7mxbwhaWgyCAKEqw8DGKKuNY\ndSkIAgLbCUMoo20JAjlbYn5qE/ggbYiLI/p87bj51gjKIdvdYrFIu91+q4s65w1CPK9AP46bshW+\nbjiOQ7fbTbTFqarK0dHRpcmX53l0u12m0ymVSoVf/uVf5td//de35iTj8Zgf/ehH/PCHP+TTTz/l\n5cuX/O2//bev5HhuK7773e/y6NEjfu3Xfu3M781mM/7Vv/pXPH/+nEqlwmQy4Zd+6Zde+7ub2t5d\nw30l5R2D7/t7FYTz4vnz50ynUwRB4KOPPrrw7+PkJMJNZZ30+32m0+mFMmKilbaoVem2EpdDWS63\npTIUTRrSGpfzVlxkWd4jm+cJY3yb8Dyf7/4vf8hstj8JardLdGPZIJGrVRAEqJqEtbHA3WoXCAXm\ngu0zfDbCT4Uito5K9A5M6muNAqPBgiDKEvGiaouHkVNYLrIrJqWyzmxqIYrhAkKjWWDVX+A7AXpO\nRVZllhnHFke+pOMHMJsusR2HSlVn0gsJtCSHmSBZTlVnVVFa7zc4PZ0hyyK1ksZgo0FpfalBN6OF\nrfqlGpOnw0RwY+Fhlcl0RalkYL6cEAQB5cd1huMdyWk3ivh+QH+UrHpVP6wy/snuORNlkWnOR5fA\neRkSmlxFY65LKIpCo5Rn8WRC/VGF54sFvu/hez5lXUHyfLpmkqw2Ozn6p3FLXlDe0/mfv/EhP//B\nwxvPEsmy3VUUhU6nc+1ueVcNx3H22sXO8y68CYH+dSCqOvd6vcRY22g0Lu1KFhHW09PTra1wp9Oh\n0+ncynH4JvDJJ5/wL/7Fv+D73/8+/+gf/SN+4zd+4+B3Z7MZf+tv/S1+4zd+I0Ei/v7f//s8fPiQ\nf/7P//mF/vZVb+8W4L6S8tOOq6ikRGTjIoNSOuvkJl6ykbiz3+8nVgAVRaHRaKAoSqJdLF1hyXKU\n0TQtoa94m8TlUB5ILpej3W4nVhffJuKuMvGKS3y1M7oGWRWXNGRZplgsoigKruteShh73ZAkkV/6\n9of8/h/++d6/9ftzNE3BNK2t7iRCIa8S+CKyomxH61atgHkyR/CDPYICMBuvUFQJx96vcLqOhyAC\nvoAkSkjirppWqeTwnBl+EGzIi7etuLiuhyiG16lclOn9pLv9nblekytoSIqEvfa2rUr7+7UE0UdS\nRDRRYjE298hXGsVq7mAVBWCxtDByKmrgbwkKgGnuV3fyFQNvbiUIiqLLTGdmKNi2XFZBgCiJTGZx\nfYXMsjvF0pPkXpJFZG93nK7rouoituNR8WUcwjGy1qmx3gjpFWvzx5VYW50MFVnDK0oYJFv1XDNJ\n3AVBwHJdOqrAq1evtp9dd5ZIlBM1HA7vjO3u6xBV7QqFwjZUMj62R2556XboQ85WWe6Gt2UcsiyL\nk5OThG7IMAyOjo4ubQPsOA6np6fbSn0+n+fx48e3osX2beC73/0uf/zHf8y3v/1tvva1r/H973//\ntb/5p//0n/Lw4cO9Ksdv/uZv8q1vfYuPP/6Yv/k3/+a59+Gqt3cXcU9S7rFF/MV0XpISERrf928s\niDG0b13S6/USq+9Zuoy40DNK7o2v+B8iLnGkX1a6rl/ry+oQ+YryQPL5/K15WR7CITvSqOIyHo8P\nhoy5rst4PN5WjuLC2IhA3oYJw7d+7n3+7f/z423LUwTP8ykUYDRKHp+sKDiOSD6vY9se5aKOavuM\nPg8F6vVWcSMmT2K9dmkfZ2eghPbBZbqv9v9tMlpx9KBG72QWG+nD59V1fDrHZczxivGL5G8D32c5\nMzHyKh4+65W3fbZFKSQs3ibhHUDVJMo1g/lYQFSlM5fKNENlPs2+7uVGEWQJb7Zgvto9l8VanlnG\nb8olnVdfjBKfFesFzLlJp1Fk8HlovVpuFrcaFYB6QcMWBBapoMliNcf4xXRrauD7PrqeR/dh2Vtv\nszuCTbBjydAYPw8JVzxHpZzTmDxfEHSMmB4IiobKcm2TMwy8zZiZK8octQvIUsy2+pxZIpe1ZV8s\nFpyeniaqDPl8nk6nc+dsd9M4VF2oVqs0m00kSTq3s1W6ZTU+DkXXQtO0Gx2HssjlIUvo8yJ9zkRR\n5L333qPZbL71MfZt4h//43+8/d9/8Ad/8Nrvz2Yz/vAP/zCzulEqlfj444/53d/93XOTiqve3l3F\nPUl5x3AVlRQIB+mzSt7pPJWbWnkzTXNP/HheXUZWcu95rDDTE4b0SmekcbmKAX2xWOyRL1mWaTQa\nN5oHcl0wTXMvjFFV1a09aVZ/eVZyddrRxzCMGycuuqbwCz/3Pv/ue38BhP2v7mZV1nbWSJKI5/kJ\nVyvPC2i1CmC6DJ4OWcam9MPePHTY6u+3NfVPZxRLGvPZPokZDxZohoyVUW3Yr8KE6e3tdplFd0ax\nmMfJe/h+qHPZtowFPubSJlfUCNQA1/a3IZRpFEs609Mluq5RaxVxfZ/RYLGXqXJWFUWSRIplg1ef\n9fC9ZLXBKOeYmcnftdtFVvP9djRJl9EdhenLXRUmrlGplA36T4Y0P2hAiqTokkhvaSYWBnxJoJ3L\ns5jtxrflxiGsJEoMAFEUEsGOBUFiVVAZp7Q99bzB3LQRRBF5M15W6gX+p1/8Bo+rxde2KmVVfqM8\nqfh/h8bALO2CLMu02+1bpfm6LLKqC+nAScjWOkYC/fQ1SCe4p8ehm6h6RVitVpycnCTeT3Fb4csg\nfc7K5TKPHj2682T1beD3f//3AXj48GHmvz98+PC1TmnXub27inuS8g4i8vy/KM6TOp+unNxk73Q6\nLwNC95KotesykCSJfD6/V3GJv6hM00xMGLJWOuMvq7jG5bznZ71e0+v1Eit3d739Io6LhDFGAXBp\njctFictN9Pd//Isf8Ed//Bm27WxX3wFcJ6DZzDOfe9vnShAE2rU8yxdTXNsjyKg5WGsbUYS0nMf3\nAxRVAfZJim17oW7F3CcA2yrMptKiKCLVks7gSVhl8F2PUiXHfGIipUIoA9/HtX1KpTyz6Qo3I0Cy\n2jS2TmC2ZTOfhWGWuYJGuVHCdnwWMwsB0PRdFaVYNjB0BYIAc7HGXrucPOnvEZQAkrofAdrNAovh\nnKWzP8YtTJuKpjCwdhNxc0MWBEFAWNkggJWyUFYVgdFgkiAokiSh5HJY3d09KysSc9NCVyTGL8Pz\nXajlWPnh+KArMuMXM6pHRcbr3e80WcLLaNcrFXU+bNUAtq1KEc6zgJKVJ5WVHj6bzbYBfBFqtdqd\nt2KHcCwYDAYMhzvLbFEUaTab53Y7jAv0D7WsXkSgHxmOnIc8vg5ZmS4RuYyq1BdFEATbcxYEAbIs\n8+jRo3diIext4Y/+6I+As0kFwPe//30+/vjjG9/eXcU9SbnHFmeRlKysk5sSxWeJxovFIs1m89L9\nt2fhdcQlmjwfIi7RyyQiLmmNS/y8OY6zFf3H8abk67bgMmGM8QC4dHL1bSMumiby/uMif/aDXQp9\ntP9BoCDLYXhio5rHnZgMPgsnUu2j7Patxdw62L416i9otIsMetmVlnItx3S0n9HSO5lSKhtIkoAz\nWTGI5Z84totsSWg5BWsVc6IChA1pmY6W5Eoqy5mP7wcggCRK1Jo5+s+S7VZRhXU+XTGfhvuSL+uU\n6gWc9Yp8TsKcWcx6U+JH0XrcoJdhe1ztlBlPwwmgIAo0qwa9J31aX26xTFVl9IKGpsoMnu6OT1Zl\nphuS06kX6H/eR5IkphuNStTapfkwc3baDFXT0HMqBVVlaO/E9YVajoVnUTcMhm64DbWgwiI8dw1D\nZ+CtEDQJYvPWZt7AzfCa+UvvNfc+i5A1Dp3H3TBLYxGHqqq02+070Tb6OmS1rl2VK1lWyyqE76T0\nNThU9TpEHiMCc9Y+HnJde1NbYdM0efXq1Zbw1ut1Hjx4cCfMAm4zXrx4AbAluWlE99Ann3xyLlJx\n1du7q7i/K++xRXzQi8hIlp3wTbzYot7b0Wi0l6TearVu3Nf+LOISnzifp+ISvaSiVPc4CoUCrVbr\nWsjXTeKqwxjPIi5p8nge4pKuel2UuHiex2AwYDQa8dWfqfKDPz8JVyQ3aeqCIGCaDu8dlXFmFqMn\nycl872RKuWIwnexrLUb9BZqhYJn7zkTm0kKUhL0wxSDY5s6TNlCRJJFyQePkJ929SkW0zVItj+f4\n22pJEASJPJf52KTcyGHOXWRZodEpMXg+JJfPEfhRdTVsF/N8P+H9uJqvCYKAVbxVTQgteEVRRDM0\nBqfTjD0HRVdhukaSBKolnf6zkIAsV/uuZYVaDjNF0srNAt35GsNQGG+E+KVWgd4ifFZd16VS0vCX\nNp4XoKgqymayVqgYmP2ksYOcl5EWNouT3XPrbYZNSRSYnYTEYO3HWmEFgfnJgqCefKYF4BtfOto7\njrMgiuJey+pFQxBt2+b58+e3Xhx+Fg61rkWhhdcJWZYpFAqZVa90pkt6n88r0HddNyFih6uxFY4H\nPUbp8dd9vn5aEBHS11W34hWxm9zeXcU9SXkHcRXtXq7r4nleYjs3JYrPCvNTVZVWq0WhULg1L9Es\n4vK6VbYgCLMy0qJxQRDI5/PbF0ZECO8abjKMMU5c4uctfQ1M09wjLtE1iF7Y8XaPiLxkEZes46tW\ndD78oMGLl4vtM6IoEo2CzvLVjNViv0UrAEQp+3lyHI9WPU8vg6QsFzad9yqcvtp/MU1GK1pH5VAo\nv0GtlseZrnj54xOax1X6r8Z7vwOYjZbU22WGg3k4mbKdVJ6LjL0MOH7UxLEdxq8mW0IhiKHOBaTt\nse2Ii0+1laefrgwFocGA5/kUGjnGgwWhXmbnkqUoEuPxElmRKOkywxch0Ss1CtvqSByqKDCYJZ8r\nUVdgvqakKgydefh3pWD7/ImigD1cUu5UsDcGARF0VWJ8mrx2rgCtYo5xb3ceV5t2snYxz6gX7mNc\no9Iu5VhMZixSdsRf/VKLRvnNE9zjGovo/ux2u4nvRILx84jDszQWt2UsCoKA8XhMv99PLF7VajWa\nzeZba4s9VPW6jEA/6/1dr9dpNBqXPr7FYsHJycm2ItNutzk+Pr7zbcS3CeluiDSiisihCud1b++u\n4p6k3GOL+IA1HA5Zr9fouk4ul7v2tqOotN3v9xN917Is02w2KZfLt+ZFeRayVtmiNqXZbMZ8Ps8k\nkEEQsFgstitn8UnzZVf7bxpZov+bDmPMIi5AZm95vIUiizymiUsQBIxGo8T9GZHnX/0fm/z27/z7\nUDNRK7A4mdHvh6v6h9q3xsMlrU52Bkr/dEallmOS0b416M4w8irmcr+aMBuvUDQJ/IB6xaD7ZLAl\nE/1XY1oPqvReZBOV3qsx+arKsrvbbtpS2LEcZALyRY35ZH/fIGoVC4lLqVZiPllh5MIJ9DbHZfOf\nJAvMJhHhiMT7IfkzKgWWyyU5WeC0t0YURSRRRC8ZTFfJF3OrXWKQcY4XpkOjlmf4dIjn+di2hTfb\nLcY0ihrLlY+k6QhmUhDtmvsakoVlY6xi5E2VmK1CzY21cXMrVAwGMVLsji3y9RxzN0lS/tuf+yDz\n/F0WpmlyenqaqNzGheNR4GZ64nyIwEe4SXH4WViv15ycnOwd39HR0a2xY4/jkED/dWG4We+H0WjE\ncrm88DVwXZdut7tdlTcMg/fff//GOxHucY/L4p6kvIO47GRQkqTtKk4kyIwQ9fbH9RVX1RqQJaoW\nRZF6vU6tVrvzqz2O4zAajfZcYUqlEoqivHbSHLfiTWtcbgNxsSyLbre7tyJ7m8IYs4hLlsbldcQl\njmKxSL1eR9d1isUiX/uZDt3Phgw/Gya+N+zNyeUUVqv9yshsaiLLIq67Lxjf/Z/k9XVdn0peyyQp\n67XLo0dVBs9G9GIEJULvxYR6p8wwFqboBwGObeO6HuuTNdV2gfFghaooiTyXeqvI+GSM73ogCLTe\nqzEZLbHX2YGRgigS+GFVRSC850U5WXFpPqxx+mKMKEixrKXwXEiqjLIymfV35z8AXr4c4Dg+oigh\niiKdTgnPsrDtpJuWnldZmTbMPSzLxnVdZFViubkOtWoBa7BC1RQmqcpMp5GnP06SMNVQ0BSF+WhX\nxSpUDZaeTauUY/Z5+Lle0mDzrDeLOeZPJjS+VIWYvfSDVpkPHjYyz9tFkSWszhKOR2RD07SDLZOH\nnoPrtER+HXzfp9/vMxrtWibf1Hb3bSF+DaKV8Kzrl8ahaxC5uzmOQ6/X4ytf+QrVanVrY9/tdrcm\nN8fHx7Tb7Tt1vu4SyuXynrFPHFFl5LztdVe9vbuKe5Jyj4Qg/vj4mOl0mtkik+7tj/fTRhNnWZbP\nPQhalkWv19vTZUSi6rsu5IteHOmBplqt0mg09o4vmizEJ84JO9SMVc634WgV399+v7/3cj10fLcN\nUWhkmrhE5361WmGaZmKVM475fM58Pt9OPL76lQo//KOfxLIxhM02faqNQiZJWZvO4ZyT8X77VoRB\nd06tmWc02BFDw1Ao6jIvPnlJ87jCepGVGB8wGSwo1fJMh0scN2ztShzXcM2jL3UYdnd/t9kpM3gW\nc4cKAnovhsiKTOtBlf6rKUHqPLWOK3RfJLU4cSiKzHS0QpYkiOvhgoBKzWA5X2MvnQ3ZCbddbhaY\nrsJnwvd9qlWdZz98RuVBBdO0t8RFFEXytTyq73L6FwOi3c5VdVxXQFUUCqLMxIdyp0RvGV+dV/BW\nLq6brKQUqgbBOnmMSk6BuY0Yq7pEOSoA8jr83BGSq+N/7b/58sHzcl5EE9Fer5cYq8vlMq1W61zP\n36HK40XE4Ze1RD4PovTz+DhYKpVot9u3fnw5D5bLJaenp4kFwUj4LwjCa6+BbdusViv+4T/8h/T7\noWNfs9nky1/+Mo8ePeL999/no48+4q/8lb9yK6tN7yJms9mlXdduYnt3DXf/Kb/HHs47Qc2yEy6V\nStsHImqRiU+a4y/DrH5aSZISK/2GYey9TA45WpVKJZrN5p33aI9E1ePxOFG6LxaLtFqtg8d3VqvY\noVXOt5Eh4vs+o9GI4XCYmMDn83na7fadFv3Lskw+n9/e+/HjiyZztm1nrjTnivDwyyV+8mlYwYjr\nK7qvxtSbRcbD/RapfndGoahlBjnOxisURcLJsP91bT9Mmw+g1Swwej5ksLG5HfZmlGt5pqPl/u9c\nj9VyjRckCcqutUtk3J1RbRQYDxa0jst0n/QyQxpdx6X3bEiuaJAr6Qw2jmXleoHuy+y2sgi140rC\n0StXUCkWdGbDObqmMBuu0Df3UjRW5coFllaY4l6uqIyfj0Nb4Jm9yXrZXZflesH42XRLUERBoFAt\nY03XtBsFhp8NAJAMBWIkpaIpCIoIqVOn6jKnnydJlydCJa8x+WLXfrbaBDuWcxrjZ+Hns1i1qVLQ\n+cbPHJ95bl6H9XpNt9tNPPeqqtLpdBK6iMviLHH4m1oiR4tZZyGdfh5tp9PpJPbprsLzPLrdbuId\nmCX8z7oG6Xa9dGZZv9+n3+/zH//jf9x+Vq/X+epXv8o3vvEN/t7f+3s/1ZPe60J0TqfTaeb5jZ6J\nR48evZXt3VXck5SfQpzXTviQKDk+aU6vNHuel9BWQDj4Rj20tm3vCb3y+TytVuvOr/REos7BYLAn\nGr+sI1nWan9aX3GeqtdVpLZHuqFer5dY0dM0bWtqcNexXC7pdrt7upp2u50wbTi00vzzf+19vvhs\njGN7eJHT1QaTccB67SAK4ja9XRRFfC9MYj+YNn/Arng2NXn4uMaiP6P/WS/xb77rY60dNEPFMncT\nSd8PWzlXS49CRcexXIIgnOBK8i4t3vd9llOTB4+rvPgvp2emyAOs5iaruUm1VdqEWvqQ0VsfQZYl\nJoMloiRQbxRw1w7j3pTVYI6syYwHSYYgCAKKqmCafni/tYv0Puti6DqV4zL94RJR3Fgkb+DM7UTe\njB8EDMYzPD+g//kSzwnTtZexUMd6Ncfg6YjS49r+Ttv7FbW5ZVMWla3bsCgKTJfhdSwiYQFaTmUa\na0X7lW9+KZFJcxFktT4JgkCz2aRWq11rBfUqLZGjd0L0XogvZo1Go71MlzcVjt8WRGPo6elpYsyu\nVqs0m83XVp2yAol93+d3fud3+L3f+z0+//xznj59yvPnzxPXYTgc8r3vfY/vfe97nJyc8J3vfOfq\nD+6nHN/+9rf55JNPDrZoRR0HX//619/K9u4q7knKTxHilRO4eNbJIRtYx3H2VvvjxCWy2k23dYmi\nuK3c3OU8kEOT9+sSjb/O0eoiVrzn1RmZpkm32z1XGONdhG3b9Hq9xETqLF3NoarXer3mV/76mn/3\nf3+6edZ2E63F3KLayDEeJKspkihy8tyi3ioyHZuIggix89k7nVL4/9l7+yA57vu889Mv0/P+/rrY\nnV3wTaS4sGQxpixTUmRbYkjxZJ0EWyJ1Ti6GzpIvVTZ1lwJTFUVWWZTsJEcmV7Tj5CiqirHlu3Ar\nZ0UXWwEoS5btmJBk2ZHsGKQgiiSAAXbndef9tae774/Znu2e6VksFgtgAc5TtQXUzE5v9/RM9/f5\nfZ/v84Q8tCxzEy6XSDziJX9mnUDI2TGt1+4TSQRQ+0M0TUdVB6iWFPRWrUd6KUZzs8fk6ZNdMsGQ\nwvoP8qQWoxQuVi9JVACqxQbJhQitSgu/X0Fxu5BcEpIkYjD6HA5VHV/Yy7CvUs33KJ0r27YRW4hQ\ndJC/xQ5FKFU6I4LyahFBEEaBix4PbmWIOlQZbHWGkmkfpUIHQdjmSm6fi05vSNzvorYlhXN5ZPKF\nzdG2ZIlOcQCCQbVun0MKBtxsFu3XL7fXxUA3qFr21R/z0TFUvIrM5oVRceGPeKkPRttzKzJv+5GV\nXbyTdszKzNivTJC9Yq+WyE73BFEUxwtoJrxeLwsLCzd0d9aEU3fI7XazsLCwZ9dDk7R2Oh1+8id/\nkvvvv5+VlRX8fj9nz57lxRdfHP+89NJLdDodfuRHfmS/DumGwNGjRzl+/DjZbHZmMOLl4OTJk6yt\nrfHwww/bthmJRIBRuOLq6urU63K5HIDjc0546KGH+MIXvkAul9uX7d2omJOUmxBOtqlXK+vEGnhl\nTeodDAZjR6tOp+PoWKLrOrVabbwiYNUze71e3G73gU9DnpWkbha318vRykpcZsn1LjVnZOrJq9Wq\nrXi/VBjjjYRZeS6Xo+s3YRKXB/7HH+OHL5aolFq2hQFd12g3B8gucdRpMPdhq+PSqLfo91V0nbGT\nldlxUZTt9zmVCtAs1Cm+Nip2Bv3hVMfERLXcIpL0sXHefnySJKEoCq1qj0w2SsHi+BUIeTFUlUpu\ntFpfPF8hngnT7fQdh/WtSC1FKW6FRQ4Hw0nFFDAKXWxVWwwdEtgll+joaAZgSNI2Qdl6TPEplIoN\n+v3+mBDGoh7QBbweD6IkYhhg6DqRhRDu4ZCGJYDSG/HQ642s1sMekVquTjDpp9Fujwb9zfkWl5dG\ns2f7PvsiXoIeibK+vb/urWDHuMczflz0SrD1tv34kWU87ssjFIPBgHw+b5PVHmTp0yxXK5O4WAmM\ndTHLafar3++zsbFxYC2RdwOzw14sFsffQUEQSCQSxOPxPR9Lu91mY2NjvDCWTCZZXFwcX5Nvv/12\nbr/9dt7//veP90NV1RteTn25OH36NMeOHbvk7z377LO7CkWs1+ucOnWKU6dOTT3n8XjG5GESzz//\nPA8//PDU47lcjueee45HHnnERqJWV1cJhUKcOnWKBx98cNfbu9kwJyk3MayyLpOcXIt2uSAIY0cr\na8tZFEUCgQCiKDqurjnpmRVFsa30Xy0HmcuF08r7QSredyIuO6W2O80ZWWFK17xe7w1VKExi1tCx\nz+cjnU5fkfRQliUe+OBb+H8+/1/Hq/2jz8OoOE1mQuQvVm3kRdcNOm2VWJUNMAkAACAASURBVNLH\nZqlj63gC5M71SC0E0dsDNs5cRJQkRFFAQKDb7hNJBhn0VQxL50bTNAaDAetn2yPHrmIHURRslsIA\nhQs1EgsRyhs1EukQtY3NKQKxma+jeFwkFsLjuZNJJA9tE5Sd4At62cw7byO+GHPsorjcMpIoUHil\nsC1JMwxcAdnW4UjEvTQ3mgQWEoiSWRCCIIkofi/Uumhe39a1UccXDtIctlBcIo0tgwLJK4M6GGv9\nQ36ZeqNBt6vaiAsug9oFuxRDk0AWBZrr29eF/palsigI/N17dj8wbwbaVioVW3Ebj8eJx+MH4jq4\nW1jtvE2Yi1STmSdWHGRL5N3AyTbZ5/OxsLCwZ7IwOc/i8XhYWVm5JGE1FxRfT5gkDLNmO+67774d\nCYr5XptdjdXVVXK5HI1Gg2w2y913381jjz3G6dOn+dVf/VWOHz9u+1tra2uEQiGOHz8+te0nnniC\n559/nlwux2/+5m/anvvsZz972du72TAnKTchms0m7XYbRVHGF+9rdQHvdruUSqWpcCqn4t1cXZss\nmq0wiYt1wHAyLfxa3qCGw+F4KN6KvSapX0vslNpungOzIJgVBtrtdjl37twVO7tdT3Q6HQqFgu2z\ntt/SvLuOLHLHGxd4+aWNqefKhQbReICGJW3eXEzodXT8ATfdzmDcGZBlgXBQoZGrIIjCWNIE28P5\npXWVdDZGJd/AMNiyFN6WBdVKbVKHorTqAwfZ1sjxa3ElxsUz0/trYtBTKV+oklyKUi23GVqkY9FU\niMr6bCcvE8mlKKWLzlaroiRSr03bPYuiSPpQlNwWQRnNvKgMVBWpt/19y2RCNNebpLJJNh0CNGVB\noFzeziESBImBPircUgEPmw0V3WWA7EaWRyRRFKFbbKEkRnMYJnHRNI1us02j1gILcal1uiR8HmqF\nOubO1rc6XG96wwLRGdK8SbRaLfL5vE0+6vf7yWQyN0Wh6dQdUhRlbLyxH5bI17MTr+s65XKZSmWb\ntIuiSDqd3nPm1+Q8iyAIZDIZMpnMgSRoBwG5XI7jx4/zsY99bObvHDt2jKeeemrq8ZMnT/L5z39+\nTEZgRA48Hg+JRIKPf/zjU9vNZrPkcjl+4Rd+gc9+9rNks1lOnDjBM888w7//9//ekSQ99NBDfPOb\n3+Shhx6aeu7BBx+87O3dbBD2kky+hT2/cI6rB8Mw+N73vmdbmbJma5gyqv0uJgeDAaVSaWrIKxKJ\nkEgkdl28m3pmK3GZHMR0wqSb1X4f4yxHK5/PN+4s3OhwCmMcJX+7UFV15mqnCZO4WDtfB4m4OFlC\nm7KLq5HHUy42+O1/fgJNm75URuN+qhXnbpUZ8GgYBrGYl2ahRrc5MqjwBhW6rQG65nwuoqkA1YnZ\nCVmWRwsWHheyW6HTtBMBf9CDjEFzs0niUJRi7tJkwxf04Pa7qZaaBCI++q0ean+442vcfgVdM2b+\nXmolQdHSpRElgUQqSKPUQPJ6aDe64+6Qbhi4/Qo9YySLW1yKUzk3clVL3pqmWLRfh4IRH71OH7Vv\nMbQIeWgKkIwHqL46motxe1103PKYpC9E/ZTOl1EDblR1aOtwefwuem0LYZQFOmGZcB/6LXUkEwt7\nqXsFJFHkf/v5v8vyQnTH90hVVQqFwtSQeTqdvmaBqFcThmFQqVQol8uX1R3ajSWyE/bbEnk3mJRh\nwZXbJk/Os/j9flZWVm6K+87VxDPPPMODDz44cxblmWeeIZvNOsqpZmFtbY1wOLzjaxqNBidOnBh3\nWi5n+9die9cRl30Bm5OUmxD1en0cHji52gT2drmpHd5rtsaszkIgECCVSu3LwKPVQcYkL5PWl5Mw\nj9FaMO+FuBiGQaPRoFgs2lbzzKRxq+PTjYrdhDGaeubJ87Ab4jIp17vW3SYn2QyM5k6SyeRV3Z/n\nv/w9Xvjj7zs+l0wHKRWaU48LQPpQCLXZo7ph7zoYhkEsHaRok4ttnwNBFPCH3LRq9u+9udIfivoZ\n9DX0UR4jyUyY6sWKrSuSWopRztfRhzufWwQ4dEuCdrNPvTR9HJOIH4pQmSEVEyQBT8hPt91HlEUS\nyQD1YoN+p08yG6eQbzAYDGzSvNhSlFZbY+FQlNLWnIogikgRP6rFTUuWJdKZEBdz9mtU8nCcUrOL\nV9XpbpkSxLNRCo0RiYuEvLQuVIlmwpQ69oWSTDLIhXwNXdPG58Af96D7JLrnt79HwYyP4lBlMeHn\nwz/9hpmZRoZhOLpaxWIxEonEdZeP7gc6nQ75fN62CHIl3aHdWCI7YdIS2e1278s1YDgcUiwWbV3/\nK50dMgyDWq1GsVjc6uyJLC4ukkwmb/j7zrXAqVOnZsq4crkczzzzDI8//vhlbXM3JGWOmZiTlDns\n0DRtPBxtzho4XchNzbC147KTRa3Zzq5Wq7Yi6Ursdi8Hkzeobrd7yZW1yWO8VPBhu92mWCzaiN7N\n5Gh1pWGMVuJi7XxdirhY7UdnZensB2YRTK/XSzqdviarkP2eylOf+4rNmWu8Hz6FwZbzlgmXSyQe\n9dLZbNHvqLZi24rUUpTihdF3b7J4V7wuMAwGPefXhhN+Wo0+4ZCbRqFhC0A0P9LheJBBf0jXMRBy\nBF/QDZpOu9kjkgji9rtpN7u069OvSS7FKO2Qm5JaiVMptYgng9QLtbEJgGEYuKM+qmU7CZJlmdhy\nCo/HxebZ7cI+no1RrlpNLETCXhcDQZg6B7FbE0hA6dVtd7HEbQny5RaCIBB1STRKLZK3Jdgob3en\nvF4XMb+bi2V7xyq6EmbQ7FPNN8fEJZj1U+z0+Zn7DnProfDUcZtzApOdSq/XSyaTueFt2cE5UV2S\nJNLpNKFQaN873peyRHbCpGHI5Vi0m9eZQqFgJ9GxGMlkcs8dWtM0wJzHCYfDLC8v3xRyv4MAU+Z1\nuZIpk6TU63XOnz8PjCT2q6urr4tB9ivEnKTMcWkMh0Mbael0Oo4F/qRFrdfrxTAM1tbW+N3f/V1U\nVeXXfu3XSKfTB6KzYBIXa8F8KeLilB9i2jparSJNSUIsFrvhVzWvZhjjbiypnWAlLtYZl72i2+2S\nz+dtBFOWZVKp1L4XRpfC9779Gl/6v7/t+JyZNi8AyVSAZr5Of2vVPp4JUc7XEZyu6wJ4Ai4qeTvB\nNGeOIokAtUqToapNdVxCMS8u0WBzo4ExcVpEcXu+wuNzE4oGqRanffoDES9qd0CvPV0ABiJ+/GEv\n/b5KrdzG41MwjNFMixWSLOJSZFxumWDUT3m9ysDiUKZpGt6oh+rmNukQRRG3ohBOhnAFPFTPV2xJ\n9/FbUpS3ujqCIBAPeRj0BjR6k05iBuHDcZrnqzabaPehMO12n0wiSPmVUYJ3YDlGrb7t4JUOedFl\nkdJEUGbmDQnyP7DYKRvgXQliiAa/9IG3jF2trIR5FiYL5oM6GL4TZhXvkUiEVCp1za6jVktkq7PY\npWqfyVBcp0Utp9maK7UVNgxjPM9iGAayLLO8vHxTLIwdFOxF5mVibW2NtbU1jh8/buvSHDt2jGAw\nODX8PocNc5Iyx96gquoUcZkcVvzLv/xL1tbWWF9fHz/+z/7ZP+Pd7373gb2AOuWH7KZIsOJSSfE3\nCq5XGKNpST25wrlb4jI547ITZs2dXE9HJMMw+ML/+TVyZ6edr0RJIB73M2z1qDuQgXQ2SsEiUzIY\nfabVwQDZLSEKAv2uOrYUth6f2W0xISsSwZCb4tmRm1Ig6qFV7zpaAVsRPxSmXmyP7ZAj8SD9Vs/R\n8ngS3oCbWCZCrzNAG2oMVY1hf8igt905SB9OUrywPQdjBk5qmkYgFaRV7yNgBk7KCMChO9LkXy2h\nD7f3XVJkDK9nqyAWSMV8lM6VSd+eJp+fmFGJ+5EVmapFfmbOqHg8LoRaF7U/xOWW6HmV7U5N1E/9\nXAUh7kdV7e9bailC8cI2aRRFgX5C4QM/dYT73nx4/LiqqpTLZer1+iULZSuup2HI5aLf75PP5232\n5m63m0wmc9W77LvBXq9JoiiOz8NwOJxyd7zSUM1ut8v6+vpY7RCPx1laWroqnebXKxqNBr/wC7/A\nl770pT29/vTp08B0Psnp06c5evQoTz311FwKNhtzkjLH/sBcEW+32/zFX/wF/+7f/Tteeuml8fNe\nr5cPfOADvO997xtrfK0dl4PcbXCarbCu9DnBaSj8IDt5TeKghTFOFgnmebjU9UiW5akZF1mWZ86d\nHBTXtYvnKnz+X/+RLYTd7ZaJBNwMWl0a1bbNPngMAeLpMJV8HU3XGfT7tkIqGPUx7BsIguh49U8t\nRilerBJPhWhvNum17ZInX8iLoes0qm2bHfIkwkk/rVoXb9BNt9pB14xxx2X0I00FQgKkl+MUzs+2\nJQ5E/SMnM00fuZJtpZMDhJJ+Gg0VlyzjUlwICMiKRDzup7bZpd+zk6TESoLSlhlBOhGg+FoJAwNf\nOkJnIt9lYSXKxrnpGZWNaptMxEf53Ig0xZciFJqj90wURYKGgeySqEzI8AJ+N53uwPbeBeM+Oj6R\nT/3ie1Bco+uhU4fP4/GQTCYBLnswfNLR6npbtM+yTb7S4v1aYHLuzsmifRZMe32fz7cnAqlpGqVS\naTzb6Xa7WVlZGdvHz7F/eOKJJwB47LHH9n3b9957L+FwmK997Wv7vu2bBJd9AZjT8zkcYWqln376\naf7Nv/k348dlWeYDH/gAH/7wh/F4POOOy2R6sJW4HLRgRlMSEwgEqNVqU+YCZtiltRh0yg/Zb4nS\n1cCszsL1znMxjQ3cbvdUCOikZG8yqbrZbNpWMCVJGmcBmfB4PGQymQPjfrO4EuctP34L/+1bryEI\nkE4FqV6oUKqMzstk12MMA2rlJqICbcusBVt20toA0kvxmfMe9c0WiytRLv4g7/h8p9HF5XaRWopT\nLYy6CoaBTSKm6xr1Upv4oQDaQGM41MAQ0HUN2C7grFIxURTJrCR3JCgALreLVqM3du2yBU4qCl6v\nhCiICOLI6ateqKEbTBEUAH2rAE6nghRfKQIQSYepTRCUSMxHtzktU9NEgVjER/lcBfNeKrpl2Pqo\npaM+Sq+WSd6agIp9HiUW9tKakL4pfoUffdMiikuaKkJH75dIMpm0hb5au5m7GQzv9/v0+33bsPb1\ncLSC0QxfPp+37WMgEBjLgQ86rMHEkxbt5jWp0Wg4kkdd12k0Grbr7G4tkU1bYbPDn06nOXTo0IHt\nkt3o+MIXvrDnLsqlkM1mOX36NLlcbl/S7eeYk5Q5LoGvfOUr4/+/733v4xOf+ATLy8vjx0zPeqtU\nzBxiV1XVVkyaN08rcble8htzKN46VCnLMslkclw0X2oo3ImcWVf6zX+vBxGYlaR+UDoLTtiJuEzO\nuFiPyWml0zz+630erLj/Z97M+rkK3c0WxVcKtueKF6pTRMXMA2l3VLwBBckloqk6sizjUhTErcK2\ndHH6tTBy7qoXqmy83Ca5GKN00dlaWO2r1IoNUtkYxdwmgjAaOJckcbwf6UMRNl4toGk6waAPd1Ch\nWmyiqdbEcGNMXEIJH+devoCAMLPjkl5JkM9tMhj0beYBgiCQXIzTag8RBZFYMkC/2aX4WhFRmh6A\nB1C8bjYrbRtBAVACHrDYBIfCXvTOgMaUqYBBs93HrY6kYiZaW7/n97vZ3Eqq7090mpLxAH0HW2XR\nI/H2Nx+mXq9PzWXsxpJWkiT8fj9+v3/8mKZptrkKp8Fwp1DcyW632+3etwUVJ1erm8U22cyW6vf7\nUwTF5/Ph9XrHCyuT5GWSQJ45c4Yvf/nLhMNh7rzzTu666y4WFhbGv+/1ejl8+PCBkMPdrDh58iQw\nLdXaL5j3rTlJ2T/MScocO+I3fuM3+OM//mMefPBBjhw5MvW8IAhj0hGPx4FRYdntdqeIi9PNc1Jn\n7fF4rupNrdfrUSgUbFppURTHQ/FW0uS0qnYpiZLTSr/L5ZqSKF2tgtm0rCyVSrai6Fo6Wu0nrMTF\nxGAwoFAo2MjhJJxI8mShdq2Jiz/o4V33v5H/+G+/4fh8eaNOOB6gXmlt54FskeJus08sHaJTHzju\nc3m9RiQZpFZq4gu48bglSq9tF+ul3CapldjMDBTDMCjmNkll4xRz290PySUTiXgpnC2NiYauGnQ3\n+wR8PsLJILVKk05zROB1Q8cXcNNp9DF0MDAcOy7eoIeL5woMJop7s8vpCfiQXCoSBpXzFvetpQSl\nwvTsTjgdQpBEij/cJn+CCPX6dvfJH3AzqLWIZCI0ena3sGA8gCfgobQ1LA/gCbhpbrmb+QXYHOpI\nski9sb1NWZboFZtogWmzieVDETbL9muNoihkMhkb8bgcSJKEz+ezFbK7cbTa6fswKZ3cLSbtcU1E\no1GSyeR1XxTYDwyHQwqFwhThc7IVvlTn6/nnn+ev//qvAfizP/uz8eOJRIK77rqLe+65h9XVVd74\nxjeSSqVuaHJ3UPFf/st/uaIAxLW1NZ588kmeeuqpHRPqJ/Pi5tg75iRljh1xzz33cM8991zWawRB\nGN9IE4kEMLqRdrtd22C+eTO1rjbtZ4aLFaqqUiqVbKt9sHu7Xeu+Xe5Kv1kgWC9c1q7SfmnJncIY\n9ztJ/XrCdCWzBsHBaFU6mUxO5en0+33H83C9CCTA6o/dwvp7y7xw4r9PH5+m0+v00RnS622fQ0EQ\ncCkKvZbGwuEExdy0tEvXDXqdAQvLUYqvluio092l4rlNktkY5Y2q8/wLUMxViGfC1DfbuD0u0DTK\nMzoww8GQysUqgiiwdEuKwWBItz1AFGE46CDLwpi4WCcYdd1A9sh0Kh3b9szOTTDuRdCG1PPVqcnH\nTtd5TkNxy1z4/rrNCS26EKWyZYfs8bqg06PfHtDuTW/DH/ZSPm8/zkDcT6vWIRkLsPnaiCiFUkFK\nFllXMuylXWnTsZoIGKAbGumwMSYoV3MuQxRFR+Li1HG51Pdh0h58ViDrpD0uHDyJ5ZXAMAzq9TrF\nYtG22BOPx0kkEo7XaqfOlzWc+EMf+hCVSoVXX33Vts1yucyf//mf8+d//ufjx971rnfx9NNP3/DX\n7IOG559//oq6KCdPnqTRaHD69GlHkmLWF1erU/N6xHxwfo7rBk3TpoiLk6e9mW9iJS679bCfJXva\nz7DJSRiGMS4QrOTlUrBqmC9HDrebMMYbGbNcyTweD+l0eqY8wjwP1nMwWag54Wpr+nVd5/f+9Vd5\n9cVtlzwDA3Wgog6HBKMemtUuGCC7XCjWz7oAsVSIzYluQiTuR+8NUHsqskuiWbUTACuimRDNWofh\njAwWgIXDCdR2f6ZEzAmK20UkFcQwQJTEUYZLT6PT6tHv9hlqGkN1SCQToFbqIEoC3oCCokiAgdrT\n6LV7eIJemtUOgiAgWTJcUoeTbJbstr+iKJLORtg4tzl1R0rcmqJUbKIoMm50WpttgnE/jf60g1Nq\nMULxot3OOXZrgs16F29/SLc1ui4lb0uysZXZEgp66K3XiS/H2Ki2wWDcATt8S5j7/97twMgdMJ1O\nX3eJpfW6NGtBxQnWDBG3202n07FlnjjN1tzIGAwGbGxs2DpgHo+HhYWFPefWGIZBpVKhXC6jqirr\n6+tsbm5y4cIFXnrpJV566aUpu/Rvf/vbV81x8fWIXC7He97zHlZXV/c8k/LEE0+wvLw8Mw/lzjvv\nBEbSvjkcMR+cn+PGgSRJBAIB24XYzHCxSsXM3I1utzsePJ3MNzEDAc2b5GAwYG1tjVdeeYWf+Zmf\nGReylyps9wNWUhWJRAD7yqZZNE8SMqchWLfbPbXSbx7jrDDGSCRCMpk8cEP8e0Gv1yOfz9tWbK2z\nQzsVRdbzYMKJuEwSSCdZopW4XKkRhCiK/Nz/+pM8/Zn/TK3SQhsObUPjzc0uycUIrc3+NME0oFXr\njCRVrT6KWyYS9VF4rTjuIrjcMtFUyDHfBKCabxCM+VAViV7L/hmUZIl4Ksj6mRGBii1EGKoajcps\naR2A2+vC7VUoOgzKG4AgGCgegXAigDbU8bhF1J7GoD6gb+ho2mhIP7oYoloY/S3DMBhqw7FSrLLZ\noNsZjElLIh1CbfdGFsoTdbYoi1SrbWRZxOcSqBdG5MYX8dMo2KVehxZC5DfsHVaAZqdPMuSh9Nr2\nMXUsxE5RdTq6gSYIGLpBfzBA1zRkl8hP3LeMy+Uaz2UcBOz0fdiJuDiZhphQFIVoNHpTFNNWIrGf\nzmS9Xo+NjY3xdSaZTHLPPffYSKumabz22mu8+OKL/PCHP+RHf/RHb4r39HJx8uRJ1tbWePjhh8lm\ns+O5jlOnTo2zSS63S9FoNHj66afH1sH5fH78N2Yhl8vx3HPP8cgjj9hmSx566CFOnTrl+Brz8ePH\nj1/W/s2xM+adlDkOPKwZLua/TlknkiThdrv5q7/6K77whS+wsbEBwEc+8hGOHj1KMpm85kF+O2FS\nS27O7ewEU3ImCMJUMbEfYYwHBU7DuKYr2Sy5xV4xKY0xpWKXwpVK9l47c5Ev/PofMOhvd4cEUURx\nuZBkmeShCOX1muNrQ1Efbq9CfWOTQcchiFUSiGXClC86vx7A41dQfMqYgAQjfgxVpbk5QUgEgeRi\nlE6rR9sy47G9HQ+yS6RVnS5ih8Nt1y7JJeL2K/RbKoriRhTt30Ov30N/uJ2hous6mq4DBuFUiEZ9\n9N1we2U8ikCt2MTjd6PqIoJgH9BPrSSo1HpEA24217flcd50hI5FrpVJBzF0g0LJfsz+iBc94Ka/\nXh/bCrs8Mj2PC8MwSCeCVF4ZJd1rYTedzjbRfdt9WX76p1evWy7PlcJp9s66SDALuwk/PKjodrts\nbGzYvvd+v59MJrNnZzIzFHhzc9SNdLlcrKysjKXCc0xjbW2NT3/6047PPf7445ed6N5oNDh69Cgf\n+9jHCIfDfOITnxjLtLLZLI8//rjj6x599FGef/55HnjggalwxkcffZRf+qVfmiJLR48epdFozO2H\nd8a8kzLHzQeXy0U4HLbNgTgRlzNnzvB7v/d7/OAHPxi/1u/389a3vpVwOIwkjaxAD0qHYZaWfFIm\nZiUuppvaJMwhf/O5G6U4mIQ5d1KpVOx5IFcxUFMUxXE3zrofl+p8zeq4THa+JgtVswPW0xv8+Hvf\nwH/98uktS2F5JGPcuo5Xiw2CER/Nml26FQx7kXQDtdGBGYtMumZQXq+RWo5RPO8s2eq1B6gDjXgm\ngiQJlM6V0Z0yIQyD0oVNBFEklY3R2OyM81Z8wdF7NklQRoGMFtcuYTSc3qsNZkpmfFE/3Y3a1PdT\n13XcPh9K1yAUHZGO3laIozfip78lAdMsw/n1ThuPSyB/rjAmLtFMhJqFoKTTQQqvFImuJKb2xR/z\nMeiodC2zO6FkgG6jh6LItNZraNoQl1+iaSEoqVSQ97//bXi9e5MFHQSYCyGKoqBp2lSn1vxM9/t9\n22yFruvjLrgJa/ihVTJ2UK5NTtbQkiSRTqevaEGr3W6zsbExlqcmk0kWFxdvCjOBq43V1VVyuRyN\nRoNsNsvdd9/NY489tie3rE996lNks1kefvhh1tbWgNG95HOf+xz33nsv9913n2Pw4kMPPcQ3v/lN\nHnrooannfvM3f5NHH32UbDbL29/+dnK5HGtraywtLc3T5q8C5p2UOW54VKtVPvOZz3DixInxY7Is\nc//99/PBD35wqm1+vV2eLheaplGv16lUKo4dJCdMrmpezhzP9cCsuZODlFJtHYKd5aLkBLNIc7vd\nqKpKrVazdcC++/WzfP+v1seWwlb4gh7UwRC1P0R2ScQSAUpnixhbtX8g4kMbauOZCSekl2Pkz1ds\nQ+UmPH43voALWRSolpoMdpEiL8kSicUovZ7KoN2n29ou0keBjANU1fI5FWDhlhT1Qtsx8BEgmY1T\nmtE1ii5EEGWZXrNDe4uw6YaOyy0z0EFVhyNCu/WWutwy/qSf2gW7hCu2EqNWG8nFUukQ1fMVfCEv\nXWO627F4R4qLLxdtjyVuS5IvN0mHvay/vMFwqBFZClFpqqOMDbfCP/pHP83K4WnSc6NhUqIEI4fA\nTCYzJplmhsikdPJS4YdW2dn1JC6T+SQwspBNp9N7vh9omkahUBh3gD0eDysrK69L6dZesLa2Rjgc\n3pfE9kajwb333mvrwKytrXHfffeRzWY5duwYAM8+++yetp/L5Th16hThcJjV1dW55fDuMO+kzPH6\nw7/6V//KRlAeeugh/vE//scsLS3R7/dtg/mdTueSGS4HIbnZxKwwxkgkgs/ns4UfWm+2s1Y1J4/x\nIBAXJ1toSZJIpVKXnDu5ltip47ITcTFnjZy2Fw6Hef8/XKbT+AYXflic+p1Os0c8HUYQDFqlJsVX\n7b/TqnXw+BWCUd/MYfnC+U2SizE28zV0bZscJZciVNerVGqj74HicZFajlO6sDnT/QtAG2oMeir9\nZgev30Mw5qfX6rFZrDMYqPZARkli6fYFyherMwmK4nHRqE3vuzfgJhDyIiky+bNl23OiIJJYTFBc\nryNLLgwMDN1AdomEkz7Wz1ZAELY7TQI0mwM0TcMflNn4wQUMHbwJD716D1Ec5cKIoojP76bsEI7Z\n7A7weSXOv5TDvNeqCMguGZdL4cd+7PANT1AmJUow+pymUikikYjtu2hmiLhcLsfwQ+uP9dpkWtRb\nJWRWV0crcbka1+DhcEg+n59y+VtYWNizNbS5yJLP59E0DUEQyGQyZDKZA3EfeT3CrAms5MEqF8tm\ns+Puyl5gdmjmuLqYk5Q5bni86U1v4vd///e55557+Cf/5J/w5je/efycecObleHS6XQOTIaLFXsJ\nY5xc1ex2u5eUY1ide8zjdLIcvRpwGvw3507i8fiB7m6ZmEVczHNgfs6s0jXr71WrVarVKm95zxIX\nz+bptdWRPEmSEEWBYNiHPhggCdDvOndLeu0B2lDfcVi+fLFKNB2iVWsjyRL+gELxNTvhGfRUiucr\nBKMBXG6Jzfz0MDmwlaVSxtANuq3+yMVrMEDaIggIAr3mAPRRKGNlol3NBAAAIABJREFUY/ZcDEA4\nHaZ0oTomJQIGrWqbdrVFIOSZIigwIjabljkSAYHUoRCNUoNeS8Pr8Y6Ji67rBFIBqo0+wZCbdr4x\n7kT1VB1N09A0DVUFlyIiIlDdMi0wyYvbr1Cp1PHr22GPsiKh6TKKAj6fmwffO50jdSPBqbOwm9BJ\nK6zExWoY4ERcrB1TU8Y6KWWdJC5Xsnhk2goXCgXb93EnW+HdQFVV8vn8OLfJ7/dz+PDhPTuBzbE/\neOGFFwBmdjisQ/k7ZZ7McX0xJylz3PD48Ic/zM/+7M/uqqjdKcPF6ii2mwyXqyFTuJIwRlmWCQaD\n4+LAuqppJS/W7To590iSZCNmpnPafh6jmXdyreZOriXMjlW73abVatlIpvle9vt926yRL+jmXT+7\nyonf+W8MB0MkWSQccVM+t4GAiCiJxDMROvUuQ3Wa8Kj9IfVKk8RiZOawfLXQ4NAtCXrNNuULs62F\nm9VRsZVYjNJp9uhshReKokjiUITCuVHgoTkbZhabmqah5oe4FBcu2UXmcAJdN0hkwltdFAFBEMY6\nYQFweVz0+yo+r0y72qJT3SYeHp+b+qZzdyh6KErx4uh76Q95UEQoni2ROpyilG9sbV9AEEcD9YFI\nCNmj0t9s4na50SUdT1Ch2dHGDRdJFvEIBoPhNnEx4YrKRCSZ+vmRZM3lcpHMJihvyeMeePAIPt+N\naVgxWWTD7MDCvUKW5Sknx8nww263e8nUdpie+9qN016/3yefz++7rXC1WqVUKqHrOqIosri4SDKZ\nPDDd3xsVa2trnD9/HhiR59XV1cvuWly4cAFgplGB2f2blXkyx8HAnKTMcVPgSlbdRVEch3Alk0lg\nu+swmeFi3lDN1f/JDJcrcbTZ7zBGp1VNs7C0Fga9Xs9GFjRNo9Vq2YoWWZanBsIvl7gYhkGr1aJQ\nKEzNnaTT6T1LLQ4STNlHoVCwrUj7fD7S6bStIJoMn1RuV/jxB+7gpW/n6FTbbF4wyYYOGmycL+IP\ne9AMnaGq29ysBIQdh+V9QQ9ut8SFMxcRBIH0cpxKvr5jVkr5YhVJlkivJGhV27gUmcJW+vtwwjYZ\nRp8R87MfSYaorNdQ+87hiwDBqJ9eT0WdsQ/BZMjR3Ux2SdTKbURRIJEOUjpXprX1+e06hD2Kkkh/\nMGTY6KD2huP3LHYogVpoYg6zBL0i9WKTvjG0KcUARFmicXFEfgwDBgOVzrBHr6eSzUa5444og8Hg\nQMgndwtzsaBUKtnO45V2FnYLp/DDS6W2w7ZhxSRxcco2crIV3o9cl8kwy3A4zPLy8g2/wHIQ8PnP\nf57jx4/bSMmxY8d44YUXLmsw3VRFXCphftIYYo6DhTlJmWMOB4ii6LjyN0lczLT5nTJcLjX7YRbu\n1pvx1QpjFARh7ARm1ZGbWTTW4sBKXIbDIc1mc0rHvVsDgl6vR7FYnOrYJJPJKa37jQqn2RpZlsdZ\nGZPH6OTudvjwYcK+v+CP176DLMnouoZuKSDb9R4ev4KsiPQ69s+L+bNxtsTC4eSIqAiQWopSPl+i\ntZVCbxgG+XNlvH43kWRsZqI8bM2fdAeIAihuiWDMT+liBU3f7jKIooiiKONzH02HaVZaOxIgxaug\nw0yCkliKz7Rfji/FGQyGqK0eBYtkLZmNUy5N2yDHFyN0Gr2pTJjW+P0TSMZGifOZw2nypQbDoY5h\nasIwMAZDdM3eweqpGoahc++9KdbX18fvxUGc+5qEk+Wuz+cjk8lcVwvzWantk8RlN057siyPraxN\nBAIBMpnMnoM1DcOgXC5TqVQwDANZllleXr5prmHXG0eOHOHIkSNT9r7Hjx/n6NGjnDx5ctdD9VYS\n6wSzw2K9p81x8DAnKXPMsUtIkmSTU8GoeLfaIJuD+buZ/ajVajz11FOcOHGCbDbLb/zGb4yH4q9l\nGKOVuFhtnq1D+U4hbzsZEFhlYpubmzaLT2Ccd3IjzJ1cCsPhkHK5bDtGQRCIx+OXnZUhSRLv/tBP\nEE1E+IMv/CmGbmAYxrjY0nWdQUdFViR8IQ+dxkjDP1mMvfb9HJmVGINWjwvfzyFuJbdbvVW67T7d\ndp/4QpR+tz+dgSIIpBajFM8W0Q2D8rqKOlTxBt14Q366rQFaX7cVfPGFCPVig6E62+FJlEQCUT+b\nBeciwqXItiwTKwIRL+g61QvToZEDbXrYPxL3oavDsSuYiVAySL05+hvpZIDia6NuQqvXo9vdnosQ\nBFhYilPf7OHz+dC3Zlwkl0inp/OmN2WIxe0W4rMMK3a7aHE1Mcty96CZVFgxy6rdKYTSCicnRDMc\n1tpx2S1h6XQ6bGxsjBeT4vE4S0tLB8bS/mbArKDG1dVVQqEQTz755L44f81x42D+7ZpjjiuALMu2\nDBcYreqZhYrZdbHOfqiqysmTJ/nyl788lgsUi0VkWWZlZeVAhDGa8zdut9tGXJyyQ6zExWlF04pJ\nG9MbGaYmvVwu2+YX9mO25p6feiO+gIf/97f+iKGqIUmSjdAZhoFoCKQOxdgsNNB0bXweJEkkFPey\n8fIGHr8bd0ihUW4hYO24SOP/VzaqSJJIejlO6WIVXdPxBkbysMJrxZG0S92WdnWbfdSOhqIoJDJR\nPD43tXKTQMRHtdBAH+5sQZvMxinkpkmGidhijOKFUREtySKRRABJFGhttvAHPBTOlqZeE1+MsVmx\nLAooErGoj36nT60yPdfiCXmpd5ukU0EKrxbQhhqGqFEu2VfiM4eiKLJEnRGhEbdmXOKLUXqiwCMf\neReiaEwVy7vJD7mWwYezZIjhcJhUKnXDFdqzDCvM76OTUQWMiIuTlHVSJmYd0J8kdm63m5WVFdti\n1RxXH9lsltOnT5PL5XZl9xsOh2feh2C70zI/jwcbN9aVaY45bgCYXYlIJAJsdyXa7TYnTpzg6aef\nplAojH9/aWmJj370o2iaRi6XO7AZLtb5G+uxTQ6/7pQd0u12ee211xwNCG4kq852u02hULAd637P\n1tx17y38g0++j//w5Al6bbsuXxAEDA26zQGLt6YpXxxlr0RSAZrlGvX1BgIi3Vafbqu/5ezVQe0P\nt1LcR4XqNnGRuPDDPMFYgGgyROl8iVZlMApktBR8oiCiuLelXfVSgzqQWk7Q7/RJLIQRRIGhqtNt\nbQ/dm0gfTu5IUKLpMO1Gl9RihGFfpV5sUN6agwklghQdrIEBDMtnJ54K0q42KZ4rkbwlDU37e2dg\nUG/0SKeD5F/OMxiMrIkjSxH6tT6iKKAobuLJIM2NGq7I9PkUFIn/4YEjeDyjVfhJ+eSl8kOuJXEZ\nDAbk83mb1FJRFDKZzE0xBwajrm6hUJjq6mYyGSRJmiKR1oUVK3H5gz/4A9bW1ggEAtx2223ccccd\nLC0tkc1mSaVSZDIZDh06dENdq24WmItluyUpJhqNxiXnUuY4uJiTlDnmuMowB9g/85nPcPLkyfHj\nsViMY8eOcf/999Pv92dmuLhcrvGq4UHKcIHRsZn71u/3pwp3QRCQJGlKeuHk2jMpiTlIydQmnHJr\n9mMQdxZW7jrEsU9/gC/+iz+k5ZCDYg7LL9ySoN/uUd6SQbk9o26cKRVrb/aQFZlQPEDFMuthAJqu\no+k6siKj6X1++L1X8IY8eGMKalmFgY6AMHbtskrGBEYEJe/Q3YDRkLs/7MPtc+Pxu1EHQzLZ2Hgo\nXdcNDEPH0AwESWA41GmVG7TK9hVQQQDRJWPovam/EU1HqJZauL0uAn6F8vnRvgQifsoONsqxhQiS\nVyH3Uo6hJXRSM0BRtowmQl46xQbBWIBqazrgMn0owuqRRcdjvlR+yCynvZ0S263f/d0SF6ehcUEQ\nSCQSxGKxA3MNuRKYbojFYtHWPUkkEjappbVza5WyTs7gvfLKK+i6TqPR4Lvf/S7f/e53x68LBoOs\nrq5y9913s7q6yjvf+c6ZzlFzXD7W1tZ48skneeqpp3Z029qpO2KF+d2r1+uOJMXczvLy8h72do5r\nhTlJmWOOa4DhcMjzzz8PjFb4jh07xsc//nHbYL7ZlbAO5pu2nKqqOma4mEX99exEOOncAaLRKMlk\nEkmSppysnFx7dnJOM4/zakpidoKu61QqlfHArIlrMT+UXo7zv/zaB/niP//DqewSQYTkYpTCq3ki\nyRC+gJtOa5okmp2PXl1l6ZYFOq0urVpnPMsSjHvpNXpUN0bb7zS6dBpdREkkmgkxHGh0aj0M3djK\ncRHxeBUC0cBMggIwVDXq5SbJrIuLL+dnynAEQSC6EKU2I+clfThNYYZtsuRRSHoVavka5eo2ufdF\nA7Q37O+XgYHskTj/4jlbsKU/4mOoirhcMj6/G7XeQe2puPxumCApvqCH+x+4vEyUWU571vwQ83sx\nSVycgg8v5SjY6XTI5/O2BQO/308mk7lpHKgmHbZgJCddWFjYUTI7S8qqqiqf/OQn+eIXv8j3v/99\nzp49a+s+NZtNvvWtb/Gtb30LgFQqxTe+8Y0bTip3UHHy5EkajcZMS2BzQWvW3MokfuInfoLTp0/P\nJDXmfebIkRs73+hmh2C94V4m9vzCOeZ4PeLkyZOcOXOGn/u5n2Nx0XkVdhKTGS4mcXHCte5EzJrJ\n8Pv9pNPpS87W7CYnYRJmgbaXleW9wNTyF4tF277tJrdmv9Gud/m9/+MrbLw6IgWRZBC126O5acm3\nUGRimTCFc2VmRrwDsiwRPxRls1Anmgyw8crIXU43nEkEQCDqw+VxUS828fgVDN2gvxU+KZlWyA5E\nObUcp7xe3THFPn04NbY3noQ/5GUwNByH8WPpMIgCmxOBkd6gh4EmoNv+pkEg7KJcaqJtZc0I4sg0\n4tAbDlEoNHF7ZFxDjXatgyAJyOEAA4sDmSDAB//n+3jzW2+ZeSxXCqtFuFNiuxPM74Xb7abf79uu\nEZIkkU6nCYVCB64zuReYCwbl8vbnRRRFUqnUFblsDQYDNjY2xp0sv9+PLMu88sorvPjii/zt3/4t\np0+fHi/GRCIRvv71r+9blsyNhlwuxxNPPEGz2RxLsB588ME9pbCfPHmSf/kv/yXvfOc7efjhh21B\ni2tra2N3L4AzZ87sapunT5/m6NGjPPXUU47D9o8++ijPP//8rrc3x77gsr+cc5Iyxxw3GKyyELPr\n4jQHsp8ZLpNwsk1WFIV0On1FN22TuJiryt1u95IF2tVyT3IKgJNlmVQqdd0Kvn53wO//1h9RzdfG\noYpOiKZCqIMhrZpzGCJALBNGV4cMdZXShc2xxa4p7RpZIJuuYtroX8MguhACw8AwoNca0GtaPnvC\n9nC+JIqkDyfZ3Kix020mtZKkuMOcSiKboGLpIIUTATweF81qC8XnpVaaXilN35ahuBVqaWDg8cr0\nmk3cIS/VUge2AhldLhcCAsHFKN2Oik+CRnlE+uJLUco1u7zsvT/3d3jbT901+2CuEvZCXGDbkfAg\nSygvB5MOWzCSYaXT6SuyFbbK4iRJIpvNEovFpt4rwzDI5/O8/PLL3HbbbbtebLrZcOrUKZ577jk+\n97nPjaVUa2trfPrTn2Z1dZUvfelLl7U987VOePzxx8lmsxw7dozjx4/zsY99zPZ8Lpfjueee45FH\nHpmaVbn33nt573vfy+OPPz613TvvvJOHH37Y8bk5rhrmJGWOOV6PsGa4mP9OyqnArnHfS0Hf7/cp\nFos2d5yrOZMBOGr5L1WgWS2frXbIu9k/J/maIAhj2+TrreXXdZ1v/uF3+eP/8M2ZOSMwsvpNLcUo\nnLdL1BS3i3DMz/oreQbqAAxweWQCcR+DloqhCY7vkyiJxBfCbLxa3CYtuo7ideENeRBEgW5jMM4j\niR4KU8vXAQFR2s5xEUURURjZIccWIlRLzZldltRKkkq+QSQZQJZFGuUm3daIOKQPpxwH6d0+BU2U\n0YY6hqDj9QpUcpsIkogc8KIPR4TaPI+BmJ+OZhDyuahZ5GGJW1OUitvysb/7wCrvfv+P7nBmri3M\n70Wr1aLRaNi6mbMwKaG8UYiLpmkUi0Vb8J4sy2QymStyZ+r1eqyvr48XeaLRKNlsds+E5/WCY8eO\n8eyzz049/swzz/Dkk09edvG/trbG2toaZ86cYTgcks1mufvuu3nsscfIZrMcPXqURqPB1772tanX\nmh2RBx54YCrs8eTJk/zqr/4qX//6121zKeb8y+Tjc1x1zEnKHHPMMcJwOJwKn3SSU5l2ntZOxGRB\nX61W+U//6T8RiUR44xvfOH48Go2SSCSuuS7burLspOV3gklcrMdq3W9zCLdUKtm2FQgESKfTB07L\nX9mo8f/92z/i7IsXd/y9UCyAIEC90iJ5KEo1X6VZa9qkUKIooLjdyC6Z5GKMXqdPwyIjC0ZGGRWN\nSmtq+6Ph/G3SIrtlwukAw4GGAeiajj7UGaoag66KNhwN4vsjPnRdQFM1XG4XHq8bxe1CcklIsogs\nS2gGVPPTyfXegAfNEBxJWvq2DPkLm3h9Ep1ak+4WaYovx2nXh0iyhGC5V6ZvSzEcDKnktmdeZEVC\n93nQhqPu0o+94w5+5iNv3fF9vtaYNScVDodxuVyXJRVzcts7CMRllnWydd5tL9B1nVKpxObm6Jy7\nXC5WVlbmg/C7wNraGuFweGZeyZ133gnAd77znV0TAOs2H330UbLZLG9/+9vJ5XKsra2xtLQ0M23e\nJCKf/exnHffpmWee4cSJE3z2s58lm81y4sQJnnnmGZ566qldz7fMsW+Yk5Q55phjNlRVnQqfdCpi\nzIJeURS+8pWv8Du/8zs0m00kSeLZZ58lHA7vau7kWsHJ9rXb7c4c1DZhZiRIkjRF4vZDvna1YRgG\n33n+b/ij33uBfne6c2bCF/QQSQRYfzVPu26RgAmguBRk1zTJjGUiiPJoSH7z4uaOAY0mRFEgmY2T\nP1u0BVDqmo6xdcsQZRF/xIcgCvQ7Kmp/iK7qNqmYS3ERSYVpbE4nyAMkl5OUN6YT6WVFBreMJGls\nXtx+XlEUQuk4vc7EeyRAeiVB4ax9HiaxEqe0la+yes8yH/roOw5E0W6i3W6Tz+dt3dJZZNo6nG/+\n7Gb2y2rOYf5cy/dAVVXy+byta6soCgsLC7Zgx8tFu91mY2Nj/B4kk0kWFxcPjNX7QYfZuZg16/Ge\n97yHXC7Hs88+u6NLlxWTxCeXy3Hq1CnC4TCrq6uXZTnshEajwYkTJ2g0GuPZmTmuCy77AjK3pZhj\njtcRXC4XkUjElnNiEheTtHQ6HTRN49vf/jZf/OIXyeVy49ffcccdhMNhYrHYgXK1mWX7anZcrOTF\nSlzMjIRJuN3u8dyJpmkHtoARBIG3Pvhm3vB3buE//19f54ffO2d/Hkgtxdg4W6B0oYggQGQhxKA7\nYNBSce0wo9SutwnFAtQLdWILEXRdp1aYnSbv9in4Ql4K58oIgogkiWy/bcbYDlnxKRiaQavSts+q\nGFtdF00nmAqwkSsiCIJlxmUUQJlcTjgSFN3Q8UZkqvkG/e6oAJVEEUVxk7ktTSnftP2+P+gmEvNz\n8ez0wL6+9Z7cfvcCP/sP335gCMpwOKRQKNgci2RZJp1OEwwGHfdTlmUCgYCNbF+KuFjzj0w4EZer\n4SpoGnKUSqXxd9W0To7H43s+F5qmUSgUxi5RHo+HlZWVA70IcZBx6tQpx2LfvP7u1irYCdlsdk8D\n+LMQCoX2dXtzXDvMOylzzDGHDblcjl//9V/nG9/4xvgxn8/HBz/4QR544AEbOTEzXKxSkes9s7ET\nzIyEbrdLrVab6ZQ2CetxHrSQTSu+940XOfHsn9Ft9wjHA6j9AZX1il3aJYkoikIqm0DXtClbY4DE\nYpRmpUW/YzdkGFkSh5FdMo3NFt3mqIgNxQJoQ412Y+f30x/2AsL490ziomvbcrHoYoTNvHOB41Jk\nJK+bYV9HFEeSsGgyiKr2adc79AfaWE6mKK7xZzWQjtJubBXcAqQyIcq5MqFMjFrZTlIVr8JAllg8\nnOAf/sq7UdzXn4zPygO5UtmTFXvpuACOMy57vQb0ej3y+bzte+nz+chkMnvu2pqSsXw+j6ZpCIJA\nJpMhk8kc6GvVQUWj0WBtbY2HH37YUc5177330mg0+NKXvrRrOZXZSanX65w/fx4YWT6vrq7OycXN\nhbnca4455tg7dF3n/vvv58KFC8BIfvOhD32IT3ziE/h8PtuMS7fbxen6oSjKmLRc7wyXSRiGMXYm\nm5R2BYPBseVzv993PDYrFEWZIi4H4Tib1TZ/8h+/yQtf/o5tlkMQwKUoUx2waCqMrEiULmziUmSi\n6RDFc852wJMIJ4IEE0EG3QHtWmdHkhKI+NB1g05zOpDRRCI7sivWNR3NMudinovYUox6qU0g6kEE\nWpUW6mDU2YkcilAvt5FEaWswXgAEkitxysWRbCwY9iBoGvVSk0gmTL0+7YqXvCUJssRH//f78fqv\nv5zRKQ/E4/GQyWSuugW21Sbc7Ebuhrg4zbjs9N3QdZ1yuUylsu3yth+2wpOSMb/fz+HDh23hjnPs\nH0zb32w26zjkPgvm4Pzx48dtErFjx44RDAZnzqPMccNhLveaY4459g5RFMfONm9729v4p//0n3LX\nXduWq16vl3g8DowK/m63OxU+ORgMGAwGU+GT1o7L9RjM7ff7FAoFW0CbJEmkUinC4bBtfwzDGOdN\nWFeWrTCP05SPwPUP2TQMg4He4w3vypJ6Y5i/+aMz/ODbZxEFcaaLW7U42v9Dt6ZAEKgVpqVUThAl\nEbffzYWXtgf3ZbdMIOLH7XVhIDDoDWjVu3j9boaqPnbmckIoEaRebo0CKGUJCQlREvH6FGS3jOyR\nGfQGyBg0Nuq2VbLIQoh6eXReNV2j2+siMJKKNVo9dF0jvRCmfH67qyR73OBAUjwBDx/+2DuvO0GZ\nVbhfTSe9SUiShN/vx+/3jx+bzDdyCmbt9/v0+/1dfTec5muCwSCZTGbPktJJyZgoiiwtLZFIJA6M\ndO9mxNNPPw1w2ba+R44c4ciRI1OdFzMf5eTJk/M5ktcp5p2UOeaYw4ZGo8Hm5iYrKyuXfUM3OxFW\n4jJZ3MO0o9DVTJPXNI1yuTx28jFhWgrvViqj6zr9ft+2quyUTzOJSSvkq0XQnIo9j8eDXwny357/\nW/7y+b9xHK5XPC4iyaCtexJOhvAE3DQrLToO3RF/xIcsidTLzannJhHJhEdzLAYj5y5JQpRGtsSC\nIIAgIEkCgiQyHGhowyGDnkqv3WewNVviC3nRDYFep486GKBazB5cioTs89DvDKZuSuFUCB0Brd+n\nU++NiUs4GaKzJRkTBGHs9hVOBvgHjz1EIn19bUlbrRb5fN7WtbjSPJCrid0QFyeIomiTr0mSxMLC\nwhXZCk92nsLhMMvLywfOne9mw6lTpzh27Bi/+Iu/yGOPPbZv27333nsJh8OX1ZmZ48BiLveaY445\nDhbMDBerVMypgJkMn/R6vVcUymgYBvV6nWKxaLMU9vv9++ZMpuu6rTAzO0k7wSRoVqnYlRAXVVUp\nFAo0m9uEwalD1G32+OYf/BXf+sPvjjsaycUYjc0m/fZssjVJWJLZONV8leHg0m5fqcNJypagSCd4\ngx4kWZoZPCm7JPzRAJuFOoPBYOwSBiBLEkt3LVG+WAcMdHPGRddR3BLeqJdKrjp1s4ouxaiVR39P\nEEaEafWtt/DA//TjROPh60YEnM7lfuSBXA/slbg4uYrtphtpGMa482QYBrIss7y8fEVysTl2h0aj\nwbvf/e6ZwYlXgqNHj3L69Gm+9rWvXbHL1xzXHXOSMscccxx8mBkuVuIyK8PFKdvkUkVHt9sln8/b\nujgul2vsgnQ1oWnalFRsN8TFStBM++edjlPXdTY3N8dJ2SYuNUzd7w74y+f/hpf/8lVe+d7ZXR+X\n7HaRykbRhjqaqlEvN1F7zvMJBgaZW9IUzpZ23KYv5EUQBdr1WbMsBvGlOOuvFdAsK+6iIKAobpLZ\nGNVKZ3w38vhchGIBBp0eLq9C6WJtm7hoW+TFr9AbGuPX+MMe3v7+u1l6Q2L7WLesqSfDQK8WnByt\nYNTtSyaTB2LWaT/Q7/dZX1937K7uBOv8l9vtHlukm5hMoo/H4ywtLR0oB8KbGceOHSObzV6V9PZj\nx45x6tSpy7I0nuPAYk5S5phjjhsTqqpOhU/ulOHiFMqYz+f5rd/6LXK5HB/96EdJp9Nj+9JYLHbd\nij1zVdlKXC41gGwSNOuxmp0lc/jfSn68Xi+ZTOayhoJz31/nb/7sJf77n32fds05kwRGmSnddpdu\nw1JcChCI+vEFR8Pb7Xqbdq2L7JaJJEOUHdLgrfCFvQgWp69pGIQPhdl4bZvoCDC2mhblUYdFHQwJ\nx/yovQHVfB3DMFB8CqLLNbYitiJ1a5rCehVd11n98RV+7O/dgY6260ydydDTK0Wv12NjY8NWuO/l\nXB5kmCSsWCyOCbX5vYxGo2MZpfkzS0bZ6XT41Kc+RaFQYHFxkdtvv53bbruNQ4cOcfjwYSKRCCsr\nKzdc1+lGxqc//Wng8udQTJjp70899ZQjCTFJyqxcljluKMwH5+eYY44bEy6Xi3A4PE59tma4WMMn\nNU0bExkrvvrVr7K2tjbWon/nO9/h53/+50kmk9ddx+80gGy1fDXJi5WU6bo+7jaZMGcorPI1URTJ\nZDLjXJfLQfauQ2TvOsR7f/GneOV75/ibP3mRl7758nh2RXKJJA7FKJwrTS9LGdDabNOyBC7GDkVw\nKTIgkD6cYDgY0usM6DS6GBYbZH/Eh6EbtJtOBMVA0zR8ca+NoMiShMfjxhv04vEp+CN+2vUurUqH\nQt3+WYiko5QcSJI36KFSaJDIRHj/R9/J4bsWRn9xy5p6Up7klKljzdUxiYtVurdb4jKZeg7742h1\n0OBEwnw+HwsLC+M5EZ/PZwtonJRRmsTFnLsCuHDhAhcuXOBP/uRPgBHpOXz4MKurqxw5coQ3v/nN\nvOUtb7lp3seDiGeeeQaYJiiNRoN6vb4redbJkydpNBqcPn1I65jMAAAgAElEQVTakaSY5gvzdPjX\nJ+adlDnmmOOGgVlMWrstL7zwAr/7u7/LxsbG+PduueUWPvnJT45tWg9ytokVZviklbxYCYkTJjtL\nZsdlz/vQVznznVd48dQPWH85T2V9546IieRygs2NKppT2KMAvqAXT2BEMnTNQN/KrBjdgkbyK03T\naHc6GIaBIArjsEeXKDPs6/TaPQwDkstxKut1R5vo+GKMzdJ0QCdA5o4Mtx7J8tM/+3e2yNRsTBIX\nk0he6p4py/KUNfUkcTFzO6ykNBQKkU6nbxqJkpM72Sw3vd1ur9fr8ad/+qd89atf5dVXX+XChQs7\ndsB+5Vd+hV/+5V/e8zHMMRunTp3i5MmTjh2UtbU1stnsruRZTzzxBMvLyzPzUO68804Azpw5c2U7\nPMdBwLyTMsccc9y8MIfO3W43iqJMhU6Gw2E+8pGP8I53vANRFGk2m7YhZGuGy0HKNjFhSplMuYoZ\n4lcqlWaSFafO0pVIk1xuF0fecRdH3nEXmqZz8cw6r/z1OV753lly319HH9qLQsklET8U2TlbxYBO\noztKpH+tODV0bzDqmqmqSiDqo98dMhwMx+9Hj21ZWygRpFZsOZIFySXR609LBEVJ4NYfyfJTH34b\nS7endvU+WD9r1u6eSVys0j3rvgyHw6nPncvlGpPHScc7l8tFJpO5qZLP2+02GxsbNknjlZIwQRAY\nDAbceuutfPzjH0cQBGKxGLVajdOnT49/fvjDH47Jn5UgvR7RaDR4+umnyeVyRCIRarUab3/72/cc\nkGhu7/Tp0xQKBe64445xsKMVL7zwAp/73Odsj+VyOZ577jkeeeQRW4floYce4tSpU45/z3z8+PHj\ne9rfOW58zDspc8wxxw2J3/7t3x6HfEmSxN//+3+fX/7lXyYUCo0zXCbDJ50wGTzn8XgOhERkMBhQ\nKBSm5EXJZBKv1ztlh7ybmQrrMXq93svuLA16A86dvsAPv3uW1/76HO1GB103bJKvWUjfkhwN0k/c\nOTRtyGAwQNeN/7+9s4+Kq77z/3sYnkJgBhKeErmQB+hEJuovKjYhurY+bAinq5XGYrfWZlSSnq1i\nugdiuybsCtl2Fc564BzdEmKTttZmrHHb5ChMS6tZl4ltqq7K1KImMd7Y4SEQuISnYWbu74/he3Nn\n5s4wjzDA53VODif3zv3Ovcxw7/f9/Ty8kbZyOSbHbRAdmGkc4C4gk1KSEJ+UoNgWGQBy1+egj3dF\nflQqoODq1dhYWoTizYVYromO8SETLp6eOoE8WxMTE6HRaJCSkrIgIn2zYbfb0d/f7+aPEgkRZrPZ\nYLVapdTHtLQ0FBQUKHbom5qaQk9PDy5duoSSkhK3NLKlhCAIqKioQFVVlZuICLXInY13//3349ln\nn5W2j42NIS4uTjIWZf5YnpGP6upqmEwmbNu2zcucsbq6Grt37/ZK6aqoqIAgCNR+ePFAhfMEQSwN\n3n77bdTW1qKwsBB79+5FYWGh39eH6uESbovgYHE6nRgcHJRaqTL8+bqw+h35RHliYmLWiTJb4Q81\nJW5ybArWs32wnumD9Ww/rGf7MPDZRTgdV95XFadCFrfSK9LiFJ2w2Wxw2F1RlbTM5Zgcm4ZapZ45\nB/ffd5xahfScDFzqG4ES2iwNRkencFVhDq4pLYJ+cyHSVixXfG20YWagk5OTUh1LIM/acD+P+UIU\nRQiCgL6+PreIX7jdyURRxODgoNTBTq1Wg+M4rFixIiYWEmKZ6upqjI6O4vDhw27bBUFASUlJ0IXo\nbLy0tDSYTCa/r9Xr9XjllVek/4uiCJPJhP3796OhoUHxfaurq8FxHLZu3Qqe52E0GpGXl0du84sL\nEikEQRCB4nA4vISLUmehUFoEB4soihgdHUV/f79bmkyovi6hrvCHmxJnn7aj//zFGfHSj8mxKfzt\nTC+Ei6Mzhosi7NN2TE/bpJqTtKxU2CediEMcfD3Hctdmo+8z9/SdZanJSM/RYkWOBmuuyYfuxrVI\nz5pfI0aGw+HAwMAALl26UtMTFxeHtLQ0qFQqqRg8ECHpWeMSS8LFZrOht7fXLd0wKSkJq1atklbX\nQ2FychJ/+9vfpL/HjIwMcBw3700wFgJMiNTX1yumdhkMBgDwEjDRHu/kyZPIyclBdnY2VqxY4bWf\n53mYzWZotVro9XryRVl8UE3KUmC2QjNGtPJRIzUeQcw3arUaqampbqkovjxcJiYmMDExIU06PVsE\nB+rhosTU1BT6+vq86kqYr0soY8prKhjyFX65eJFjs9lgs9mktA3A3WBv2bJlSEpK8ilc4hPisbow\nF6sLc732Xbo4jDMfnsVQ3zDGhscxdmkc9kkHUpYth0pUwSmKEJ0inA6n66dThOh0Ynn6ciSmJOH/\n3aZHerYGK3LTkZ6twbLU2GvRy8Rmb2+vW1RBq9UiOzvbrSaDfR7yz8JTuLBaHfnnwYTkfAoXURQx\nNDSEgYEBt7bCWVlZYUU6PLueJSQkoKCgQKoLImanvb0dAHxO8jmOg9FojMp4oih6ffY9PT147733\nMDQ0hJaWFtx888347ne/K3V3k49D8wlCDomUBYTFYkFTUxPMZvOshWTyfNTa2lppu8FggMViCTkf\nNVLjEUSsEh8fD41GA43myoo883CRCxe5mGEE22nL6XSiv7/fbbUdcJnRZWZmRryoXx4RSk9Pl85B\n7lMxMTHhFU2amprC1NSUW61BUlKS1wq/r4mpvFZheeYyLM9cFlanp1hFKaqQmJiI3Nxct/bTDPnn\nwVASLoEISblwYUIyWsJlYmICVqvV7XuyfPly5Obmek08g8Gz4D4rKwtXXXVVTEWOFgJdXV0A/IsK\nwFWYHkgHrnDGm5iYwAsvvIAHHngARUVFeP/99zE8PLxo/uaJ6EIiZQHQ2NiIU6dOYcuWLSguLvbZ\nCUPOvn37FFclmpubUVJSgtLS0qDyUSM9HkEsJDw9XADXRFHu3zI2Nua305Zn+tSJEyfwX//1X5ia\nmsK//uu/IicnJ+TUrnBgRa/y1BwmXDxX+OUw4cJQquVJTEzEyMgI+vv73Qr709PTkZWVtWja7XrW\nTgBXzAqDNRFVEi6BCEl/wiVS3eyUvF3UajVycnJC8ulhOBwO9PX1SSI4OTkZa9asURR2xOxcuHAB\nAHxGn9gCjC9vkmDH6+/vBwAcPHgQpaWlbtGU06dPIzU1FUVFRQCAp59+WopcK0VdCELO4nhCLHLk\nkYuOjo5ZXy8IAkwmk2J0Q6PRoLS0FEajMWBREenxCGIxkJiYiMTERCkiwWpAxsfHcfnyZSnK4mkC\n+Pnnn+NnP/sZPvjgA2msgYEB3HDDDUhNTY2Jh7Yv4eLpGSJ3vBdFUdo/PDysOG5CQgJWr169qDou\njY+Po7e3N+JRBTn+hKT88whUuHhGwAIRLpcvX0Zvb69bvZRSClsweKbGqVQq5ObmIjc3N6Zagy80\n2OctjwYr4evvNNjx2ALEqVOn8Oc//xk33ngjpqenkZCQgE8//VRqCe1wONxSa2PhXkfENiRSFiHz\nmY9KEEsVeQ1IRkYGgCupO2NjYxgYGMDhw4dx4sQJqVYhISEBd999N/R6Pfr7+yEIQsx6uMTFxXk5\ngzscDi/hIp/EejI9PQ2e590myMuWLUNCQsKCm7B4rv4DkYkqBIpcuLDvWyARMCZcPFP3PGtc2HfP\nbrejr6/PTegkJCRg1apVYUU6pqen0dvbK4n31NRUFBQUuEWQiNCQf7ZKsIiI3MsnmPGYAGGUlJTg\nhRdewOrVq/HDH/4Qr7zyirT/vffekxYz1Go1zp8/jxdeeAGZmZmw2+3YsWMHcnJyAr42YmlBImUR\nEkv5qASxlGGpO59++imqqqqktAgAKC0txUMPPYSVK1diYmLCb8G6vBVyLAkXtVqN5cuXY/ny5VIb\n2t7eXrfULper/JVCcKfT6VXLw5oQeNbyxKJwEUVRSmGTF8anp6cjOzt7Xusnwk3d8xQucXFxXh3h\nwq2XEkURly5dwsDAAJxOJ+Li4pCXl4fMzMyY/LwJdy5fvozbbrsN3//+91FRUeG2KHHLLbdgbGwM\nr732GsrLywG42hE//fTT+Otf/wpBEHD69Gncc889GB8fx3e/+128/PLLePLJJ/F3f/d383VJRAxD\nImURMtf5qMGORxBLjRdffFESKBzH4YknnsCXv/xlaT/zcJEX5rPJpHzyON8eLr6YmppCb2+vm/CQ\nF4zb7Xa3aMvExITbBF9JuLAmBPJrDbV7WqRQus5ItNuNJrOl7vkTLp4kJibCbrdjeHh41i5vSkxN\nTcFqtUrGqlqtFvn5+RFLiyNcaLVat8UOT9j9JC0tLejxBgcHMT09jcOHD+Puu+9GQkKClDaWlpaG\nb33rW+js7MTk5CSSk5OlVsMHDx7EnXfeiaqqKunzfvrpp/HEE0/gX/7lX/D6669Te2nCCxIpi5C5\nzkcNdjyCWGp84xvfQH9/PzZt2oSdO3d6FcbHxcVJEYmsrCwAVybu8sJ8efE0+3ubCw8XXzidTly8\neBGDg1f8S1jB+MqVK6VziI+P92r1PD097ZUqJhcuSk0I1Gq1W7SFtX2ei+v0NNiMRLvd+UIpdY8J\n5cHBQbffuRx/qWL+on2ev7/4+Hjk5+cjPT19wf3uFhKCIMz63A52vIKCAlx33XV46623YDabccst\nt7h9hmlpacjLy5MEx1e/+lUcPHgQ//u//wuO47B9+3ZJwNx666342te+htbWVvznf/4nHn/88Yid\nK7E4IJGyCIl2Pmq44xHEUuPqq6/Gj3/846COiYuL85rYOxwOt2jL+Pi4ZNjoz8Ml0ulToihKhdSs\nKBZw1RXk5OQEtDKekJCAhIQEaTVXFEXY7Xa3tKSJiQm31DGHw+HWhABQ7p4WSeEyNjaG3t5etyYB\nqampyM3NXVQrv8yrRx5BSUlJQUZGhtvnIv89sOPk0b6XXnoJH374IdasWYPi4mLodDpotVpJ3K1c\nuRJ5eXmLprNbLMKEycjIiKJIYQuP+fn5fscZGxvD8uXLpTEGBgag0Wiwe/duvPXWWzhz5gxuueUW\nt/HS09Px/vvvY9OmTcjLywMAPProo/je976Ho0eP4qGHHoJGo4HNZkNiYiL+8R//ESdPnsRHH30k\nbSMIBt0liKhTUVGBmpoacBwXEQfZjo4OGI1GVFZWuo1pNpthNBpRU1MDvV4f9vsQRKyhVquRlpbm\nlqZht9vdoi3j4+Nuvi7yY5WES7DYbDb09fW5CYWEhATJeDJUVCqVJFzYpEgURSniIhcvcuHi2T2N\nnY+ncAm2VkSpYDxcg81YxOFwYGBgwM2rR61WIzc3V/E6HQ6HV40LEy6Tk5P49a9/DcBl4GcymaTx\n2Ar8pk2bMDY2hqKiIpqQRoktW7bAYrH4TPliUdiNGzcq7hdFEcePH8cvf/lLOJ1O5ObmwmKxSH49\nBQUFKCwshMlkws6dO6Xx9Hq9FCFpb29HVVUVAGD79u34wx/+gBMnTuDo0aPYtWuXlDqYk5ODL37x\nizh58iR9HwgvSKQsQqKZjxrKeBaLBQaDYdb3OXz4cEA1LSMjIzCbzYp+MfX19SRQiCVFfHy8l4fL\n9PS0m3Dx5eEiT5+S130oMT09jTNnzgBARAup/aFSqaRWz3LhYrPZvISLkku7PLobqNmhKIoYHh72\n8nbJyMhAVlbWojIWZO1/5dEwrVaLnJwcn9epVqv9dnl78MEH0d7eDqvV6rb/7NmzOHv2LP77v/8b\ngOvz2LNnDx566KEoXd3Spby8HIcOHQLP84rPQ57nAcDns/KNN96AKIr4yU9+gtLSUkmEsvFWrlwJ\nnU6HV199FV1dXdJ4TPQUFhZKgoZ1AnvyySfxxz/+Eb/85S+h0+lw6623wuFwID4+Hl/60pekVu4E\nIYdEShSorq6WVpCCRa/X45VXXonIeUQjHzXY8djNi+Er9FxaWhpU0b1erwfP8xAEARzHobi4GLW1\ntRGJ1BDEQichIQHp6emKHi7yVDFf6VOewuV//ud/0NjYCKvVim9961vYvn07UlJSkJubO6fGk4B7\nq2cmzFirZ0+zQ7lwCcQzRKVSoa+vTyrsBlzGgrm5uTFbGB8Kdrsdvb29XiKONToIFtblLSkpCffc\ncw/uuOMOjI+P4/PPP8fQ0BA++eQTdHd34/z589IxNpsNx44dI5ESBfR6PTQaDcxms6J/mclk8jJm\nBlzP66NHj2JiYgIPPfQQUlJScN999+HYsWNITU2F2WzGHXfcgaSkJNx555149dVX8Yc//MFrPIfD\ngbfeegt33HEHEhISYLfbkZKSgoaGBjz77LPYu3cvXnzxRaxfvx5//etf8Zvf/EaKuhCEHBIpUaCl\npcVv5MEfkRAVkcpHjcR4PM+jpqbG7w3IYDCgubk5oHNh7Nq1i8wjCSJA/Hm4eAoXu92O0dFRjI6O\nYmhoCC+88ALeeustaayRkRGsWrUKWq02ZlKelFza2fXJoy1sdZehVAguHzMjIwOZmZmLJnriK0oU\nibbCIyMj6Ovrg9PphEqlQlFREW6++Wa374ggCPjLX/6C7u5uXLhwQWpTS0SehoYG7N+/HzU1NW7P\nbaPRCI1Gg5qaGq9jGhsbYTKZoNfrkZubCwDYsGEDRkdHcdddd6G9vR3f+973kJGRgbKyMhQVFeG3\nv/0tli9fjpqaGoiiCIfDgeXLl2P9+vXSuCw6e+utt+Laa6/FU089hYaGBqxatQpr165FXV3dojJ4\nJSIHiZQoEckIRrCEm48ayfEsFotfMdHW1obKysp5/X0RxFJEPrFnbUKZa/zIyAh+8Ytf4Gc/+5k0\nsVepVCgrK8M999wDq9WKoaEhr/SpWPJwURIugXiGMERRxNDQkNt1yq81VgRaoCi1T05OTsaqVavC\nMlC02WywWq3SuGlpaSgoKFCMsGk0GmzevBmbN28O+f2WKjzPo7GxEaOjo+B5HhzHoaysTDEiAgBl\nZWXgeR47d+5EQ0MDOI5De3s72trasGvXLjz22GNedZ2rV6+GWq2GWq3GG2+8gdtvvx3FxcUAXP4o\nBoMBDz30EOrr65Gfn4+1a9fCZDKhuroaKSkpUKlUiI+Ph9VqxcqVKxXPKyMjA//xH/8BAOjv70d2\ndnYUflvEYoFEyiIk3HzUSI6n1+t9pmDxPA+e5ynMSxAxApt4P/LII/jggw+k7ddeey0effRR5Ofn\nY3x8XEqnUjIAlKeKxdpkXu4ZMj097dXNSqVSQa1Wu9VoAPCKwrDIlPxa56rtc7CIoii1iWbpb3Fx\nccjKykJGRkbI5yyKIgYHB3Hx4kWIogi1Wg2O4xZkS+ZYx2w24+jRozhw4IC0oGc0GlFXVwej0egz\nRbyqqgqVlZVob2+H2WwGx3Ho7OyE0Wj0W9dZUlKCTz75BHa7HV/4whdw0003ged5PP300/jmN7+J\njo4OnDp1Ctdddx3effddvP766ygsLMS2bdtw6tQpHD9+HA8++KDP62EmniRQiNkgkbIICTcf9b77\n7nMTFqGOB8BvnUldXV3QaV5yjEYjPvvsMwCuAlC9Xu/zPAiCCAyLxSIJlPT0dNTW1qKiosItSiI3\nX2SpYky0eE76Y20y7+l4zpCnPMkLwVmNi9xZm0WcPIWLZ0ex+b7W8fFxWK3WiLdPnpycxN/+9jfp\ns87IyADHcYuqJXMs0dbWhsOHD7ttq6yshCAIaGpqQl1dHerr6xWP1Wg0is9Ff3Wddrsdq1evRnx8\nPOx2O4qLi3HkyBF8/PHH2LRpE772ta8hPj4eoijijTfeQHd3N5566im89NJLWL9+Pf7pn/7Jb31o\nLEVcidhGJS8sDJKQDyRCh62eVFZW+rwpAa42vfv378fvf/97r3zUpqYmr+3AlYL/bdu2oaWlJezx\n/NHW1iaFq4PFaDRKrYblIshgMCAtLc3r3AmCCBybzYYf//jHcDqd+Pa3vy3VsMwG83CRCxdPTw3A\nfTIfDQ8Xf0xOTsJqtbqJi2XLliE3N3fWlCcmXOSpYnLhokS0/Wr8nWswbYUDxel0YmBgAENDQwBc\nDRoKCgrcOssRkcVoNEKr1fp8Vup0OgDA6dOnA34GzzYmQxRFqFQqHD9+HHv37sXWrVvx/PPPA3Cl\nDyYmJuL48ePYtGkTkpKScPbsWWzZssXtWIKQEfQXgiIpC4COjg4cPHhQWvUAXDeZ9vZ2ycHVM2XK\nXz7qkSNHFG9m5eXlOHXqlGIxYyjj+UIQBLS3t4fcxWzjxo3YuHGjV3pZTU0NKioq0NHREbT4iYb3\niiAIaG1tBc/zSE9Px/DwMLZu3UrRHiKmSUxMRHV1ddDH+fJw8SzMn56elswnGWwyL4+4xMfHR2yS\n4zm5Zu+ZnZ0dsOs562Al735lt9vdoi2Tk5NuqWLyiJP8feXRlkhfq1Jb4fT0dGRnZ4fVAGBsbAxW\nq1USZllZWbjqqqsWTVOBWKWrqwsmkwnNzc2KzzWO48DzPLq7u4PqkBkMd911F5577jl0dXXh+PHj\nuOuuu5CUlIRz587h888/x5133omUlBTk5OQAuJLORRDhQpGURQ4TBCykG25HrEiM19jYCACora0N\n61yUKCkpgVarRWdnZ1DHsQiVEvX19UELC0EQUFFRIeUEMwwGAziO8xsFI4jFDDOa9Owo5gkzn/QU\nLsGiNGnXaDTIycmJius5M5+UCxeHw+H3GM9rDcVok9XYeLYVXrVqVVidkxwOB/r6+qTao+TkZKxZ\nsyakVsVE8LAMB1/ZExUVFbBYLD5FjBKBRlIAlxCPj4/H22+/jT179mBgYACNjY24cOECLly4gIqK\nCtxwww1BXxexJAl6JYZECjHn6HQ6vPLKK1ExXWQ37M7OzqA8U1gKWaS8V6qrqzE6OuqVRywIAkpK\nSoJ6oBDEYoa5ystFC/Nw8SQ+Pt4rVczXSv6lS5dw7tw5N3+ThIQE5ObmIjU1NWrX44koirDb7V6t\nkGcTLuxaZzPa9NVWODMzEytXrgyrrTATeA6HAyqVCrm5ucjNzaVV8jlEEAQpyq+UsVBSUgJBEIJ6\npjKRMjIyElBdJ0vdeuedd9DR0QGn04np6Wns3buXxCoRDJTuRYRPNM0oOzo6pNdFA5YbzVo0BkOk\nvFcEQYDJZFJc9dJoNCgtLYXRaCSRQhBwd5X35eHChIvdbvcyn0xISHATLmq1GocPH8aRI0dgt9vx\nxBNPYMOGDWFP2sO5voSEBCQkJEiTTCbMPGtc5CLD37Wy61WpVOjv73dLnVu2bBlWrVoVlsnm9PQ0\nent7pfdOTU1FQUFBWK2KidDQaDQ+O2AyawCO44J+ph48eBA1NTVekf6uri6fdZ3XX389rr/+erd6\nE0rtIqIJiRTCi2iaUb722mtheaKwQv3m5ma/+behnn8kaG9vBwCfIonjOBiNxrk8JYJYUPjzcJGn\nirGuW9PT0xgdHcUnn3yC559/3s3ZHADWrFkTU47xcmEmFy42m80rVUye7SC/VqUxMzIysHLlypDT\n2Dw7n8XFxSEvLw+ZmZlUBB2DtLa2AkDQ6cPB1nV6fvYkUIi5gkQKoUi0zBWZm22odHR0QBAEWCwW\nRZHC8qajFakJhK6uLgD+RQrgKsqPVqEjQSw2VCqVFC1hRnGiKGJiYgK9vb149tln8eqrr0qT+tTU\nVNx///3YsGEDPv30UyQlJblFXGLNw4W1a05KSpIiwky4eKaKKaVpy80nExMTvWpcZptMTk1NwWq1\nSlEZrVaL/Px8JCYmRv5iibAxm80wmUx4+OGHg36O+Ho+MruBpqamgCL9JFCIaEMihZgzmOljOBQX\nF/t12bVYLAB8C4TZiIT3yoULFwDAZ1tOJgB9CS2CIAJDpVJhaGgIDzzwAAYGBqTtd911Fx588EEk\nJydjfHxccpaXm08yUSAXLvPta+KJXLg4HA6v1C7m8O3ZCtlms8Fms7lFlNm19vb2QhRFFBcXY9my\nZXA6nRgcHJTMHuPj45Gfnx9w62li7hEEQXKMj3QDGo7jYLFYQkqZJohIQyKFmDPYAzOQnvq+jCXL\ny8sVXXIBSNtrampCOr9QcnSVYNc5WzRqeHg4pPMkCOIKr7/+uiRQ1q9fjyeffBIlJSVur/H0cBkf\nH8fU1JQUmWB/i/I0MyZc5srDxReeBeyMjIwMZGVlQa1Ww+l0StfDoi5yU03AFSl57733pNQgtVqN\n/Px8rFu3DmvWrMG6detw3XXXYe3atVHperaUiGZdJwA89thj2L59e1S6RIZT10kQkYbuRMScEUwk\npbGxESaTCTzPuwkEvV6P1tZWWCwWr5B1U1MTOI7zWWToj0h6r7CVWl+wh4BSXjlBEMHxD//wDzh/\n/jw4jsM3vvENxfQkfx4u8hoXuYcLM0L0NGSMtK+JPzwL2AFXRCQ3N9etrTDzXlm2bJkUAWHChYmW\niYkJxMXFQaVSQRRFOBwOnDt3DufOnZPGSUxMxIYNG7Bx40Zcf/31KC8vJx+UEIhmXWddXV1YbewX\nQl0nQTBIpBBzBpu8yycKvvBnLNnS0oLq6mpwHIetW7eC53kYjUbk5eWF7DYfqRzduYDneTQ2NmJ0\ndFRa7fKXAuePaJhYEsRckp6ejn379gV9XHx8PDQajduk0JeHi6chY6Q8XHzhWcAOuKI8rENZIAJJ\nLlwYa9euxerVq/Hmm2/izJkzOHfuHKxWq7TfZrPh/fffx/vvv48XX3wRZ86cwZ49eyJ2XUuJaNR1\ntrW1AfAulBcEASMjIwFFPhZCXSdBMEikEHMGm0QHUodRVlbmVxS0tLSA53mYzWZotVo0NzdHLTQd\nbI6uVqv1uwoVjFjzxGw24+jRozhw4ID0EGRGlEajcdY0AaVzMZvNiil09fX19KAilhQJCQnQarVu\nhetKwsXhcEj/Z8g9XNjPUKIQk5OTsFqtmJyclLalpKQgNzc3rLbCdrsdvb29SE1Nxfbt25GSkoKC\nggI4HA5YLBZ88MEH6O7uRnd3t1RXF60GKkTwmM1m8DGH1gQAABemSURBVDyvGEFpb293W2TyR7Tr\nOgkikpBIIeaUUFb7lYh2zq+cUHN0BUGI+EO+ra3NyyCysrISgiCgqakJdXV1QacB6PX6iJlYEsRi\nQt4qOD09HcCVjlue5pOzebiwlDFfwmV6ehpnzpxx69wVFxeH7OxspKenh5xeJooiRkZG0NfXB6fT\nCZVKhdWrVyMnJ0cac/Pmzdi8ebN0zKVLl3D58mXk5eWF9J5LkWhEpQVBkNKb+/r6UFRUJL2HnK6u\nLhw4cMBt23zUdRJEpCGRQixIIpnzG+kcXTb+yMiIokhh4+Tn5wd6ytJ5+hJ5VVVVaGpqkh6GwYij\nSJlYEsRSQN5xS+7hMjU15SVclHxNlNoDd3V14Uc/+hGsVisefvhh3HbbbdBoNMjJyQkrjcxms8Fq\ntUqpamlpaSgoKJg1IpORkUHdvYIk0lFpQRBQUVGB+++/X4puXLx4EZ2dnWhoaJDS+NjzxDPVea7r\nOgkiGpBIIRYskYpSRDpHd8uWLZITsBKsk9DGjRuDOs+uri6YTCY0NzcrigqO48DzPLq7u6m1MUHM\nIfKuYJ4eLvJUscnJSbf2wJcvX8YvfvELnDx5UhpreHgYeXl5IaWDMkRRxODgIC5evAhRFKFWq8Fx\nHFasWBFTLZYXG5GMSu/btw8cx+Gdd97xepY4HA63ttNKz6a5ruskiGhAIoVY8kQ6R7e8vByHDh0C\nz/OKDw/W5SzUeg+z2awoUphoo64sBDH/qFQqpKSkICUlBZmZmQBcHbcmJiYwNjaG1157Dc8995yb\nb8u2bdvwla98BZ9//rmbh0tycnLA5pMTExOwWq1SC+KMjAxwHIeEhIToXSwBIHJRaUEQYDKZUF9f\nr/hcMhgMAOCV+isnluo6CSJUSKQQS55Qc3R95fyyjmC+xITJZAqpNufAgQO45pprfB7LxE8oD5pI\nmFgSBOEf1nHriSeeQHt7u7S9qKgIe/bswbp16wL2cElOTnYzn3Q6nRgYGMDQ0BAAVz1MQUFBQL5U\nRGzBvhu+7uUcx8FoNIb9PhzH0X2eiGlIpBBLnlBzdH3l/AJAQ0MD9u/f71UfYjQaodFoQipM1Gg0\nPnOFWXoZx3FBR2hCNbFkRZ08zyM9PR3Dw8PYunVryA+9SI9HELHIuXPnpEloUlISHnnkERgMBrdI\nB+seJjeftNlsPj1c1Go1JiYmYLfbAQBZWVm46qqryONkgdLV1QXAv0gBXItolNpLLGZIpBAEQsvR\n9ZfzW1ZWBp7nsXPnTjQ0NIDjOLS3t6OtrQ1HjhyJeNev1tZWAN7982cjVBNLVtRZVVWF2tpaabvB\nYIDFYgn6PCI9HkHEKgUFBTAYDBgZGcF3vvMdFBQUeL1GrVb79HCR17gwDxdGcnIy1qxZg+XLl8/J\ntRDeRCIqzVpA+4qCse+FrzpKglgsqOTtDoMk5AMJIlaR5+jq9fqwc3QFQUB7e7sU5YhGFy2z2QyD\nwYCHH37YbYIfLiUlJdBqtejs7PTaV11djdHRUa+caEEQUFJS4rO43xeRHo8glgI2mw3j4+MYHByE\nWq1Gfn4+4uLi5vu0liRGo1HqrigXDgaDAWlpaUEVpN9xxx3geR49PT0+36uuri7i93yCiDJBd+2g\nSApByIh0jq5Go4lqupIgCHjsscdQWVkZ8YeVLxNLeVGnJxqNBqWlpTAajQGLikiPRxBLBU8PF2L+\nCDUqrQRrpuALFmGRt7YmiMUIiRSCiCLRNp187LHHsH379rDToURR9Ooc5MvEMtJFnXNVJEoQBBEt\nfNUCskYqTU1NtNBCEEFCIoUgokgkTSc9qaurA8dxIQsUZmL5zDPP4Oabb8aZM2fwq1/9CgkJCbjp\nppsk52vP8490UScViRIEsZjxFZX2hVar9fvcYJGWcLx0CGIhQCKFIKJMpIvkAaCtrQ2Ad6G8IAgY\nGRkJ6EHITCw//PBDZGZm4tixY6itrcXIyAjuvvtu6bzlK4R2u10qCo1UUScViRIEMddEO8otx1dU\nejYEQYjK84MgFgokUghigWE2m8HzvGIEpb29HRzHBfQgZCaWN910E9ra2vDv//7vUKlUGB4extDQ\nEAYHBwFciWSIoojnnnsOH374IQB38eVwOLzanTJ/h9lgK4azPYwDHY8gCGI2IhnlZlHp5uZmvwsp\ngb4fG39kZETxvsjGyc/PD/SUCWJBQm1ACGIBYbFY0NHR4TPFq6urCxs3bnTbxvM8GhsbJbNHRnl5\nOQRBQG9vL6677jqoVCoMDQ3h5z//OVJSUgC4ij6Z98Knn36K5557Tuoe5HQ6AQC9vb3Yvn07fvCD\nHwAIvqiTikQJgpgPWJvnYP95wqLSFotF8X3YPS5QD6stW7YA8C1q2IKN572eIBYbFEkhiAWCIAjY\nuXMnALi5Vcv3A/BqdenLdJKZWF5zzTX4+7//ewDAm2++iZdeeglardbLxLKjowOAq6PQ5OQkHA4H\n4uLi0N3djc8++wyZmZkAgDDamkcNJtRGR0ellIuysrKQOq91dHTAaDSisrLSLWplNpulFqTBGmoS\nBLFwYVFpX/cTJl4CTfUqLy/HoUOHwPO84r2ELTjRfYZY7JBIIYgFwr59+2ZNF1B6aPkznfQ0sXzm\nmWcgiiI2bNiAn/70p1Ia18cff4xXX30VN954Iy5cuACr1SpFVK699lrk5+dj7dq1AK6s8gVa1Bnt\nIlGz2YyjR4/iwIED0ioo8xkwGo1B5Zaz8zGbzTCbzV776uvraeJAEEuM8vJyxfsBAGl7TU2N1z6e\n53H06FHcd999bgKGdQQzm82KHcFMJlNUW9sTRKxA6V4EsUBoaWlBT0+P339KE+6ysjKcPn3aZ/vL\nlpYW3HfffXj55ZdhtVqxY8cOPP/88wAgtSU+ceIEPvnkE3z9619HfLxrbWNsbAwOhwPZ2dlIT0/H\nF7/4RQDwSgdzOBwBXV+o+eGz0dbWhpaWFrc0jcrKStTU1MBisaCuri7oMdkkAnCtjm7btg2dnZ00\ncSCIGKWiokKq54sEHR0dMBgMUoT53XffxZ/+9CdpO4ueNDU1eUWlGY2NjTh06BAaGxu99jU0NEhG\nwHKMRiM0Go2i6CGIxQZFUghiCcP8UdRqNd59913k5uZi7969khCJi4uDzWbDsWPHkJqairKyMhw5\ncgSAe1HnypUrsXnzZgBXxMaZM2fgdDqlgvqzZ89i7dq1Xn4s0SwSZWlZSlRVVaGpqUlK0Qqmi86u\nXbvI84AgFhAWiwUGg2HW1x0+fDigLoJKEdXf//73AIBvf/vb6O7uxv79+5GXl+fTbd5flLusrAw8\nz2Pnzp1oaGgAx3Fob29HW1sbjhw5Ql2/iCUBiRSCWMIwEfGnP/1JiqJotVrY7XZJqLz++usYHBzE\nAw88gMTERGzevBkWiwWCIMDpdKK7uxtXX301srOzAQCXLl0CAJw8eRJf+tKXUFRUhJUrV6K/vx/P\nPPMMMjIy3M5hy5Yt0nhKhFMk2tXVBZPJhObmZkVRwXEceJ5Hd3c3tTcmiEWKZ/TE12JIaWlpUPcB\nvV4PnuchCAI4jkNxcTG++c1v4tNPP4VWq0Vzc7PfOpSysjK/ix1VVVWorKxEe3s7zGYzOI5DZ2dn\nwOdHEAsdEikEQeD06dMAgC9/+ctu24eGhnD8+HFkZmbizjvvBABs374dzz//PHiex7Jly/DRRx9h\n27Zt0jEfffQRAODRRx/F6dOnMT09jZSUFPzoRz/yEijA3BSJ+srtZpOVaKWaEQQx//A8j5qaGsWU\nK4bBYEBzc3NQ4/qKqLLU10ig0WgojZRYspBIIYglDKsfSUpKQnJyMtavXw/AVUcSHx+Pnp4evPfe\ne7jllltQVFQEwBXRYEWdo6OjSExMhE6nk4rs33zzTdx444145JFHMDg4iMTERKSlpUkdtuaySPTA\ngQO45pprfB7PBFAwBmsMo9EoGVuOjo5Cr9fTZIIgYhCLxeI3YtHW1obKykpKoSKIGIMK5wliCcPq\nQ0pLSzE5OYmkpCQALtFit9vxk5/8BBcvXsTWrVvdHuANDQ147bXXMDg4iA0bNgBw1bcYjUYkJyfj\n3nvvBeCqVWFdueajSFSj0aCqqkpx8sFSzDiOCzpKc/DgQXAch9raWtTW1qK+vh4dHR2orq4O6TwJ\ngogeer3e50IEz/PgeZ5qzAgiBlH/27/9W6jHhnwgQRCxxbp165CamorW1lZcvnwZgiDgzTffxDXX\nXIOTJ08iPz9fytVWqVQoLCzEyZMn8d577+H2229HcnIyfvOb3+DQoUP4whe+gOzsbJw/fx4WiwUW\niwU6nQ5qtRpmsxm7d+9GYWGh2/sXFhZCpVKhqakJGzduRHJyMn7961+jra0Nra2tIUU6ZuPAgQM4\nc+bMrHnjnqhUKtx222244YYb3LYXFRXhhz/8IYqKiryujyCI+cPf3/eePXvQ0NAgLdAEisViQXJy\nMt5++22pZsRkMqG/v59MFglCmSeDPUAVhvFa7Dm2EQQRMg6HAxaLBZ9//jmGhoZQXFyMTZs24aWX\nXsKJEyfw+OOPIz8/H3a7HT/96U+h1+uxefNmKQLCcRxuu+02PPfcc9izZw/sdjv6+vpgNBpx9dVX\nY/v27bOegyAIbuNFa3XTbDbDYDDg4YcfRm1tbcTGLSkpgVarDbm4NRpGkYIgoLW1FTzPIz09HcPD\nw9i6dSulphFLnra2tpDvM0ajUfqblBfbGwwGpKWl+ezoRRBLGNXsL/E4gEQKQRD+GB8fx29/+1vw\nPI++vj6sX78et9xyCwoLC6UWxp7It//xj3/Ed77zHbz77rtzfeqKCIKA22+/Hdu3b0d9fX1Ex66o\nqIDFYkFnZ2fIdS6+fFvq6+uDFhaCIKCiokLqEsQwGAzgOC7i108QCwVBELBz586gzVwZzAfFc9HA\nYrGgoqLCZ0dBgljCBC1SqHCeIAgJURQlgcFERkpKCr761a9Kr5G3J1apVFLB/P/93//h448/xq23\n3ors7Gw4nU7ExcVhamoKk5OTeP/993HttdfOy3XJeeyxx6IiUABAq9UCcOW5h5qiptTWtLa2NqTx\n9u3bB47jvMRNc3MzSkpKUFpaShMpYknS2tqKLVu2hHy8r4gmawTS1NREf1sEESZUOE8QhIRKpUJc\nXJxbdEQURTidTslBngkUT37+859j//79OHv2LACXmAFcJo6iKPo8bi6pq6sLK4JgNBpRUlLiZuCm\nRDgtjXft2oXTp0+jp6cHnZ2daGlpCUmgCIIAk8nks/VyaWkpjEZjyOdJEAuZQ4cOKZooRgLmvxQp\nd3uCWKrM/6yBIIiYRh5VUYI5yo+NjeH73/++VDTKjnnnnXcAAKtXr47ymfqnra0NALwEiiAIGBkZ\nCUgIdHR0QBAEWCwWRdO3kZERAOF5ukSK9vZ2AL6LhjmOI5FCxCzV1dUwmUwhHavX6/2mcXV0dEiv\niwaRiKgSBEEihSCICCCKIu666y5s2LABqampAK5EXLq6unDzzTdLD+75wGw2g+d5xQhKe3u7W5G6\nP4qLi1FWVuazNoTlqcfCxKSrqwuAf5ECuH43wbhsE8Rc0NLSEnJEcja/k9deey0sTxSj0YimpiY0\nNzf7/dshk1iCCA8SKQRBhI1KpcJ1112HEydOYMeOHcjMzITD4UBdXR2SkpLwz//8z36jMdHEYrGg\no6PDZ4pXV1cXDhw44LaN53kcPXrUy3iyvLzcZ6oX2x6qp4ucSBhFXrhwAQB8ikM2SfMVFSKI+SZa\n5oomkymsKMpCiqgSxEKGRApBEBHhqquuwrZt23Ds2DGcP38eTqcTK1asQEtLC4qLi+flnFgHH+BK\n+pPnfgBe7UIbGxthMpnA87zbPr1ej9bWVlgsFq8JSFNTEziOQ1VVVVjnfPDgQdTU1Hh14+rq6gqq\nrSm7ttkmesPDw6GdKEEsQCJRJ7KQIqoEsZAhkUIQRMRYu3Ytdu/eDQCw2WxITEwEAJ+tiqPNvn37\nZk25UFrtLC8vx6lTpxQLa1taWlBdXQ2O47B161bwPA+j0Yi8vLywvRE2btyIjRs3ep1TTU0NKioq\n0NHREXDHILaa6wsWYRkdHQ3tZAliAcLuB4Gkn853RJUgljokUgiCiApMoACYt1SvUEVDWVmZXzHQ\n0tICnudhNpuh1WqDdq33xUJra1pRUYGampqAa3pmIxpmlkRs09jYiPz8/FnTGSNlSsoiKXa7HY2N\njX7Hm8+IKkEQJFIIgiBCQsl/JNrvZ7FYAu4YpNVq/UaRWKQlLS0t5HOyWCwwGAyzvu7w4cMB1b2M\njIzAbDYrrlLX19eTQFlEWCwWNDU1wWw2zxp1kJuS1tbWStsNBgMsFktQLcXZ9/6DDz7AV77yFb/j\nzVdElSAIFyRSCIIgFgChtjUVBCEqBcieuf1K7yEIAkpLS4MqzI+kmSURezQ2NuLUqVPYsmULiouL\nZ/UcAiJrSlpZWYmjR48iOTl51vHmK6JKEIQLEikEQRAxQKTbmjLRMDIy4lNAAEB+fn4IZ+sSKTU1\nNX7TWgwGA5qbm4Mad9euXTGV0kZEFnnkg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"text/plain": [ "" ] }, "metadata": { "image/png": { "height": 259, "width": 404 } }, "output_type": "display_data" } ], "source": [ "@interact(i=(1,6), j=(1,6)) \n", "def error_plot(i=5, j=6):\n", " W1, W2 = np.meshgrid(np.arange(-10, 10, 0.5), np.arange(-10, 10, 0.5))\n", " E = np.sum([(fprop(X[n, 0], X[n, 1],\n", " **{\"w%d\"%(i) : W1, \"w%d\"%(j) : W2})-Y[n])**2\n", " for n in range(N)], axis=0)\n", " ax = plt.figure(figsize=(7, 4.5)).add_subplot(111, projection=\"3d\")\n", " surf = ax.plot_surface(W1, W2, E, rstride=1, cstride=1, cmap=cm.viridis, lw=0.11, alpha=0.74)\n", " plt.setp(ax, xlabel=\"$w_%d$\" % (i), ylabel=\"$w_%d$\" % (j), zlabel=\"$E()$\");" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Local Minima " ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "97428bdcd8bb4100a074b17b70b83e99" } }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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H0XN1OHOhAReutkIe5CHUOq2AMcmxSEs2IT05BulJMUhPjkFakidBnRxvRHKC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\ng81B6xpH9tgdZFtMyBq7g8QkLXIO7EPew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"text/plain": [ "" ] }, "metadata": { "image/png": { "height": 232, "width": 726 } }, "output_type": "display_data" } ], "source": [ "@interact(i=(0,5), j=(0,5)) \n", "def errors_plot(i=0, j=1):\n", " plt.figure(figsize=(12, 3))\n", " W = np.arange(-10, 10, 0.25)\n", " errors = [(fprop(X[n, 0], X[n, 1], **{\"w%d\"%(i+1) : W, \"w%d\"%(j+1) : W+2})-Y[n])**2 for n in range(N)]\n", " plt.subplot(1, 2, 1)\n", " for n in range(N): \n", " plt.plot(W, errors[n], label=\"$E^{(%d)}$\" % (n+1))\n", " plt.setp(plt.gca(), xlabel=\"$w$\", ylabel=\"$E$\", title='Split errors');plt.legend(loc=\"best\", frameon=True)\n", " plt.subplot(1, 2, 2)\n", " plt.plot(W, np.sum(errors, axis=0), label=\"$E(\\cdot)$\")\n", " plt.setp(plt.gca(), xlabel=\"$w$\", ylabel=\"$E$\", title='Total error');plt.legend(loc=\"best\", frameon=True);" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# The Multilayer Perceptron (MLP)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The composition of layers of perceptrons can capture complex relations between inputs and outputs in a hierarchical way." ] }, { "cell_type": "code", "execution_count": 33, "metadata": {}, "outputs": [ { "data": { "image/svg+xml": [ "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", 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positioning -f svg \\input{imgs/05/neural-network.tikz}" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "...but how can we adapt the weights of the neurons in the hidden layers?" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Improving the notation" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In order to proceed we need to improve the notation we have been using. That for, for each layer $1\\geq l\\geq L$, the activations and outputs are calculated as:\n", "\n", "$$\\text{net}^l_j = \\sum_i w^l_{ji} x^l_i$$\n", "$$y^l_j = f^l(\\text{net}^l_j)$$\n", "\n", "where\n", "\n", "* $y^l_j$ is the $j$th output of layer $l$,\n", "* $x^l_i$ is the $i$th input to layer $l$,\n", "* $w^l_{ji}$ is the weight of the $j$-th neuron connected to input $i$,\n", "* $\\text{net}^l_{j}$ is called net activation, and\n", "* $f^l(\\cdot)$ is the activation function of layer $l$, e.g. $\\tanh()$ in the hidden layers and the identity in the last layer (for regression)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Error function (SSE)\n", "\n", "* For $\\Psi=\\left\\{\\left<\\vec{x}^{(1)},\\vec{y}^{(1)}\\right>,\\ldots,\\left<\\vec{x}^{(k)},\\vec{y}^{(k)}\\right>,\\ldots\\left<\\vec{x}^{(K)},\\vec{y}^{(K)}\\right>\\right\\}$\n", "\n", "$$\n", "E = \n", "\\frac{1}{2} \\sum_{k=1}^{K}{\\ell(\\hat{\\vec{y}}_j^{L}(\\vec{x}^{(k)}), \\vec{y}^{(k)})} =\n", "\\frac{1}{2} \\sum_{k=1}^{K} \\sum_{j=1}^{m} \\left( \\hat{y}_j^{L}(\\vec{x}^{(k)}) - y_j^{(k)} \\right)^2\n", "$$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Training MLPs with Backpropagation\n", "\n", "* Backpropagation of errors is a procedure to compute the **gradient of the error function with respect to the weights** of a neural network.\n", "* We can use the gradient from backpropagation to apply **gradient descent**!" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "#### A math flashback\n", "\n", "The Chain Rule can be applied in composite functions as,\n", "$$\n", "\\left( f \\circ g\\right)'(x) = \\left(f\\left(g\\left(x\\right)\\right)\\right)'= f'\\left(g(x)\\right)g'(x).\n", "$$\n", "or, in Leibniz notation,\n", "$$\n", "\\frac{\\partial f\\left(g\\left(x\\right)\\right)}{\\partial x} =\n", "\\frac{\\partial f\\left(g\\left(x\\right)\\right)}{\\partial g\\left(x\\right)} \\cdot\n", "\\frac{\\partial g\\left(x\\right)}{\\partial x}\n", "$$\n", "\n", "The **total derivative** of $f(x_1,x_2,...x_n)$ on $x_i$ is\n", "$$\n", "\\frac{\\partial f}{\\partial x_i}= \n", "\\sum_{j=1}^n{\\frac{\\partial f}{\\partial x_j}\\cdot\\frac{\\partial x_j}{\\partial x_i}}\n", "$$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "#### To apply gradient descent we need... to calculate the gradients\n", "\n", "Applying the chain rule,\n", "$$\n", "\\frac{\\partial \\ell}{\\partial w^l_{ji}}=\n", "\\color{blue}{\\overbrace{\\frac{\\partial \\ell}{\\partial \\text{net}^l_j}}^{\\delta^l_j}}\n", "\\color{forestgreen}{\\underbrace{\\frac{\\partial{\\text{net}^l_j}}{\\partial w^l_{ji}}}_{\\frac{\\partial\\left(\\sum_{i}w^l_{ji}x^l_i\\right)}{\\partial w^l_{ji}}=x^l_i}}\n", "$$\n", "hence we can write\n", "$$\n", "\\frac{\\partial \\ell}{\\partial w^l_{ji}}=\n", "\\color{blue}{\\delta^l_j}\n", "\\color{forestgreen}{x^l_i}\n", "$$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "#### For the output layer ($l=L$)\n", "$$\n", "\\delta^L_j = \\frac{\\partial \\ell}{\\partial \\text{net}^L_j} =\n", "\\color{red}{\n", " \\overbrace{\n", " \\frac{\\partial \\ell}{\\partial\\hat{y}^L_j}}^{\\frac{\\partial\\left(\\frac{1}{2}\\sum_j{\\left(y_j\\hat{y}^L_j\\right)^2} \\right)}\n", " {\\partial\\hat{y}^L_j}=\\left(y_j-\\hat{y}^L_j\\right)}}\n", "\\cdot\n", "\\color{magenta}{\n", "\\underbrace{\\frac{\\partial\\hat{y}^L_j}{\\text{net}^l_j}}_{f'(\\text{net}_j^L)}}\n", "=\\color{red}{\\left(y_j-\\hat{y}^L_j\\right)}\\color{magenta}{f'(\\text{net}_j^L)}.\n", "$$\n", "therefore\n", "$$\n", "\\frac{\\partial \\ell}{\\partial w^L_{ji}}=\n", "\\color{red}{\\left(y_j-\\hat{y}^L_j\\right)}\\color{magenta}{f'(\\text{net}_j^L)}\n", "\\color{forestgreen}{x^L_i}\n", "$$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "#### What about the hidden layers ($1\\leq l