From 7d3f9f9232ec5cc3a99e2c44b97736218c084021 Mon Sep 17 00:00:00 2001 From: Rajesh1505 <87649352+Rajesh1505@users.noreply.github.com> Date: Tue, 7 Sep 2021 12:25:53 +0530 Subject: [PATCH 1/2] 1st commit --- Copy_of_Guided_Project_Gradient_Descent.ipynb | 712 ++++++++++++++++++ 1 file changed, 712 insertions(+) create mode 100644 Copy_of_Guided_Project_Gradient_Descent.ipynb diff --git a/Copy_of_Guided_Project_Gradient_Descent.ipynb b/Copy_of_Guided_Project_Gradient_Descent.ipynb new file mode 100644 index 0000000..89dc2ca --- /dev/null +++ b/Copy_of_Guided_Project_Gradient_Descent.ipynb @@ -0,0 +1,712 @@ +{ + "nbformat": 4, + "nbformat_minor": 0, + "metadata": { + "kernelspec": { + "display_name": "Python 2", + "language": "python", + "name": "python2" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 2 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython2", + "version": "2.7.12" + }, + "colab": { + "name": "Copy of Guided Project - Gradient Descent.ipynb", + "provenance": [], + "collapsed_sections": [] + } + }, + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "id": "_wfP6xtQ5bNo" + }, + "source": [ + "# Gradient Descent for Optimization " + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "M88APx1X5bNp" + }, + "source": [ + "## Introduction" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "hWZ1CROr5bNp" + }, + "source": [ + "### Gradient descent is an algorithm used to the find local minima of any differentiable function. More formally, given a differentiable function $f(x),$ the gradient descent algorithms helps us compute $x^*$ such that $f'(x^*) = 0$ and $x^*$ is a minimum of $f(x).$ A function can have many local minima $x_{1}^{*}, x_{2}^{*}, \\ldots, x_{k}^{*},$ the gradient descent algorithm will converge to one of them depending on the its starting position and learning rate (discussed below). \n", + "\n", + "### The name \"Gradient Descent\" hints at how this algorithm works. The algorithms requires 1) knowing the $\\textbf{gradient}$ (partial derivatives) of the function and 2) using the gradient to determine the direction of steepest $\\textbf{descent}.$ The idea is that we will begin somewhere on the function, for example $f(x_{1})$, and then climb down the function as quickly as possible towards the first valley (local minimum) where $f'(x^*) = 0.$ The gradient descent algorithm essentially describes the sequence of steps to take to go from $x_{1}$ to a local minimum $x^*.$\n", + "\n", + "### Gradient descent (or a variation) is very commonly used to train machine learning models by minimizing some objective function. Many of the objective functions in machine learning are hard to minimize analytically, but we can approximate the minimum using gradient descent. " + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "8QfdtIOD5bNp" + }, + "source": [ + "## Algorithm intuition \n", + "\n", + "### Suppose we have a single variable function $f(x)$ that has a single global minimum (for example a parabola that opens upwards) at $x^*.$ Our goal is to approximate $x^*$ through an iterative algorithm. The first step is to pick a starting point (initial value) for the algorithm, $x_{1}.$ We will randomly guess $x_{1}$ and note that either $x_{1} < x^*$, or $x_{1} > x^*$ (we can get really lucky and have $x_{1} = x^*,$ but this is very unlikely). Since $x^*$ is the global minimum, we know that $f(x^*) < f(x_{1}),$ that is our starting point is above the minimum. Starting at $x_{1}$ we want to take a sequence of steps to get down to $x^*.$ The gradient descent algorithm characterizes the set of steps to take to get from $x_{1}$ down to $x^*.$\n", + "\n", + "### Without loss of generality assume our starting position $x_{1} < x^*,$ and let us discuss how to get down towards $x^*.$ Recall that we can compute the gradient of $f(x)$ since we assume the function is differentiable. Suppose we find $f'(x_{1}) < 0,$ that indicates that if we take a step right to $x_{2} > x_{1}$ then we will move down the function since $f(x_{2}) < f(x_{1}).$ This is exactly what we want (moving down the function), so we want to take a step to the right of $x_{1}.$ But how large of a step should we take? Well it makes sense to say the step size will depend on the steepness of the descent. The steeper the descent at $x_{1}$, the larger the step size should be as it indicates we have a long way to go before getting to the minimum. More formally the step size will be proportional to the gradient at $x_{1}.$\n", + "\n", + "### Once we get from $x_{1}$ to $x_{2}$, we repeat the same logic as above. Suppose $f'(x_2) < 0$ again, so we need to take a step towards $x_{3} > x_{2}$ to further go down the function. Again our step size will be proportional to $f'(x_2).$ Repeating this process will result in a sequence of steps $x_{1}, x_{2}, \\ldots, x_{T}.$ For large values of $T$ we expect $x_{T} \\approx x^*.$ The diagram below more formally describes the intuition behind gradient descent." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "2buGN5YadfFV" + }, + "source": [ + 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+ ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "UJ-LpPwR5bNr" + }, + "source": [ + "### The diagram above formally shows a single step of the gradient descent algorithm from $x_{1}$ to $x_{2}$ To determine $x_{2}$ we take a step to the right of $x_{1}$ that is proportional to $f'(x_{1}).$ Mathematically speaking, the sign of $f'(x_{1})$ indicates the direction of the steepest ascent at $x_{1}$ (magnitude of $f'(x_{1})$ is measure of steepness), but since we want to descend (its called gradient $\\textbf{descent}$) we use $-f'(x_{1}).$ Gradient descent relies on a parameter $\\lambda$ called the learning rate, let us talk about this more. " + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "vbKscXZL5bNr" + }, + "source": [ + "### Thinking about the learning rate \n", + "\n", + "### The learning rate $\\lambda$ and the steepest descent $-f'(x_{1})$ together determine the step size towards the minimum. Hence the learning rate determines the size of the steps. If $\\lambda$ is large then we will take large steps down towards to the minimum. Similarly if $\\lambda$ is small it will take longer to converge towards the minimum as the step size is smaller. Does this mean we should pick a really large $\\lambda$ to coverge fast towards $x^*?$ No, this is not a good idea. $\\lambda$ too large or too small can cause covergence problems as illustrated by the diagram below." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "y4DwrV3gd21v" + }, + "source": [ + "![LearnRate.png](data:image/png;base64,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)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "Fe_mT9Yc5bNr" + }, + "source": [ + "### Note that $J(w)$ is the function that we want to minimize in the above diagram. On the left figure $\\lambda$ is very large which leads to taking very big steps. These big steps essentially have trouble locating the minimum because they are jumping over it. On the right figure $\\lambda$ is very small leading to tiny steps towards the minimum. The algorithm finds a minimum, but its only a local minimum (global minimum is ideal). For the right figure imagine the step size was a bit larger, then the algorithm could jump over the local minimum and possiblly converge into the global minimum. \n", + "\n", + "### So how you do pick the best $\\lambda$? This is often done using \"cross validation\" which will be discussed later on." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "sSDFRS9Y5bNr" + }, + "source": [ + "## Gradient descent algorithm \n", + "\n", + "### Single variable\n", + "\n", + "### Suppose we have a single variable and differentiable function $f(x).$ Given a initial value $x_{1}$ the gradient descent describes the steps required to coverge towards a local minimum $x^*$ such that $f'(x^*) = 0.$ In the above section we determined that $x_{2} = x_{1} - \\lambda f'(x_{1}),$ where $\\lambda$ is the learning rate parameter. This formula can be generalized to $$x_{t+1} = x_{t} - \\lambda f'(x_{t}),$$ for iteration $t.$ Given initial value $x_{1}$ and large number of iterations $T,$ this algorithm will generate $x_{1}, x_{2}, \\ldots, x_{T},$ where $x_{T} \\approx x^*.$ That is $x_{t+1}$ converges towards $x^*$ as $t$ gets very large. Notice that at convergence $f'(x_{t}) \\approx 0$ and hence $|x_{t+1} - x_{t}| \\approx 0.$ Therefore a common stopping criteria for gradient descent is to iterate until $|x_{t+1} - x_{t}|$ is a very small number. For example we can keep iterating gradient descent until $|x_{t+1} - x_{t}| < 0.001.$\n", + "\n", + "### Multiple variables\n", + "### Consider a multiple variable and differentiable function $f(x_{1},x_{2},\\ldots, x_{n}).$ Our goal is to apply gradient descent and find a minimum $(x_{1}^{*}, x_{2}^{*}, \\ldots, x_{n}^{*}).$ This function has partial derivatives stored in the gradient vector $(\\frac{df(x)}{dx_{1}}, \\ldots, \\frac{df(x)}{dx_{n}}).$ The direction of the gradient vector indicates direction of steepest ascent, and the length of the gradient vector is a mesuare of the steepness. We can easily generalize the gradient descent to multiple variables as follows:\n", + "\n", + "\n", + "$$\n", + "\\begin{bmatrix}\n", + " x_{1}^{t+1} \\\\ \n", + " \\vdots \\\\\n", + " x_{n}^{t+1}\n", + "\\end{bmatrix}\n", + "=\n", + "\\begin{bmatrix}\n", + " x_{1}^{t} \\\\ \n", + " \\vdots \\\\\n", + " x_{n}^{t}\n", + "\\end{bmatrix}\n", + "-\n", + "\\lambda\n", + "\\begin{bmatrix}\n", + " \\frac{df(x_{1})}{dx_{1,t}} \\\\ \n", + " \\vdots \\\\\n", + " \\frac{df(x_{n})}{dx_{n,t}} \\\\ \n", + "\\end{bmatrix},\n", + "$$\n", + "### where $t$ is the gradient descent itteration. Now the stopping criteria can depend on the euclidean distance between the now and previous itteration, that is stop if $\\sqrt{(x_{1}^{t+1} - x_{1}^{t})^2 + \\ldots + (x_{n}^{t+1} - x_{n}^{t})^2} < 0.001.$" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "UOFaRc_l5bNr" + }, + "source": [ + "## Example: Minimizing single variable function\n", + "\n", + "### Consider the following single variable function $$f(x) = 0.1x^2 + sin(0.1x^2)$$ and suppose we find its minimum using gradient descent. Gradient descent requires us to compute the first derivative which is $$f'(x) = 0.2x + 0.2xcos(0.1x^2).$$ The plot for f(x) is shown below." + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "CP6wYY7celwj" + }, + "source": [ + "# Matrix computations\n", + "from numpy import *\n", + "\n", + "# Plotting\n", + "from matplotlib.pyplot import *\n", + "\n", + "# Change size of figures\n", + "fig_size = [9,7]\n", + "rcParams[\"figure.figsize\"] = fig_size" + ], + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "metadata": { + "id": "W-gSocTW5bNs", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 458 + }, + "outputId": "b79a3def-4fad-408d-a604-280ef46e6cec" + }, + "source": [ + "# Define function f(x)\n", + "def f(x):\n", + " \n", + " # f(x) = 0.1x^2 + sin(0.1x^2)\n", + " return 0.1*x**2 + sin(0.1*x**2)\n", + "\n", + "# Plot function on given range\n", + "\n", + "# Second arguments allows for seperate points to be ploted on f(x)\n", + "def plotf(x, xdots, label):\n", + "\n", + " # Compute y-values\n", + " y = f(x)\n", + "\n", + " # Plot (x, f(x))\n", + " plot(x,y)\n", + " xlabel(\"x\")\n", + " ylabel(\"f(x)\")\n", + " title(label)\n", + " \n", + " # Plot points on f(x)\n", + " plot(xdots, f(xdots), 'bo')\n", + " show()\n", + " \n", + "# Plot f(x) from [-10,10]\n", + "x = arange(-10, 10, 0.1)\n", + "plotf(x, np.array([]), \"Single Variable Function\")" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "tags": [], + "needs_background": "light" + } + } + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "QMkG5tTU5bNs" + }, + "source": [ + "### Notice that f(x) has a global minimum at x = 0, but there are also seem to be two local minima near -5.5 and 5.5. Ideally we want to be able to start anywhere from [-10,10] and use gradient descent to go down towards the minimum of 0. We will see that finding the global minimum depends on initial starting point and learning rate. " + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "gZ0tTKsS5bNs" + }, + "source": [ + "# Derivative of f(x) is f'(x) (denoted by df below)\n", + "# f'(x) = 0.2x + 0.2xcos(0.1x^2)\n", + "def derivative(x):\n", + " return 0.2*x + 0.2*x*cos(0.1*x**2)" + ], + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "MyE6oBn95bNs" + }, + "source": [ + "### Now that we have defined $f(x)$ and $f'(x)$, let us run gradient descent for different initial values and learning parameters and try to compute the global minimum. " + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "D05eR7HO5bNs" + }, + "source": [ + "# Gradient Descent \n", + "def grad_descent(derivative,x_prev,learning_rate):\n", + "\n", + " # Deciding when to stop the algorithm\n", + " epsilon = 0.001\n", + "\n", + " # Iteration number\n", + " grad_iter = 1\n", + "\n", + " # Gradient descent update step\n", + " x_next = x_prev - learning_rate*derivative(x_prev)\n", + "\n", + " # Update the sequence where we store all the x_next\n", + " sequence = np.array([])\n", + " sequence = np.append(sequence,x_next)\n", + "\n", + " # Start my iteration \n", + " while abs(x_next - x_prev) > epsilon :\n", + "\n", + " # Setting x_prev to x_next\n", + " x_prev = x_next\n", + "\n", + " # Updating x_next \n", + " x_next = x_prev - learning_rate*derivative(x_prev)\n", + "\n", + " # Update sequence\n", + " sequence = np.append(sequence,x_next)\n", + "\n", + " # Update iteration\n", + " grad_iter = grad_iter + 1\n", + "\n", + "\n", + " return x_next,sequence,grad_iter" + ], + "execution_count": null, + "outputs": [] + }, + { + "cell_type": "code", + "metadata": { + "id": "wAKOajaY5bNs", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 458 + }, + "outputId": "484804f9-be13-41c0-84ae-3df2a96fec4e" + }, + "source": [ + "# Output vector (min x-value, (x_1,..,x_T)) from gradient descent\n", + "\n", + "grad_output = grad_descent(derivative,5,1)\n", + "plotf(x,grad_output[1],\"Gradient Descent with alpha =1 and start point = 8\")" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "tags": [], + "needs_background": "light" + } + } + ] + }, + { + "cell_type": "code", + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "NVHYYscYcYQq", + "outputId": "d56ca718-f4a7-43d0-e696-2da7c9a64eab" + }, + "source": [ + "grad_output[1]" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "array([4.81090413e+00, 4.50012309e+00, 3.99507105e+00, 3.21624014e+00,\n", + " 2.24427660e+00, 1.40230777e+00, 8.46789923e-01, 5.08509157e-01,\n", + " 3.05139493e-01, 1.83086341e-01, 1.09852011e-01, 6.59112224e-02,\n", + " 3.95467347e-02, 2.37280409e-02, 1.42368245e-02, 8.54209473e-03,\n", + " 5.12525684e-03, 3.07515410e-03, 1.84509246e-03, 1.10705548e-03])" + ] + }, + "metadata": { + "tags": [] + }, + "execution_count": 28 + } + ] + }, + { + "cell_type": "code", + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "9inbJKVjQAgd", + "outputId": "16ca7452-f3d4-404a-90c9-7b9c0da8f44c" + }, + "source": [ + "grad_output[2]" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "20" + ] + }, + "metadata": { + "tags": [] + }, + "execution_count": 33 + } + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "6lN2-cxr5bNs" + }, + "source": [ + "## Using a small learning rate\n", + "\n", + "### The example below uses a smaller than ideal learning rate of $\\lambda = 0.1.$ Not only does this increase the number of gradient descent itterations to 105, but the algorithm coverges to one of the local minima. " + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "4ARHSuT85bNs", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 458 + }, + "outputId": "b0942bf3-5fe4-4503-ef1b-8f933e9f89cc" + }, + "source": [ + "# Initial value x1 = -8 and learn rate lambda = 1\n", + "grad_output = grad_descent(derivative,-5,0.1)\n", + "plotf(x,grad_output[1],\"Gradient Descent with lambda =0.1 and start point = -8\")" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "tags": [], + "needs_background": "light" + } + } + ] + }, + { + "cell_type": "code", + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "4EVrGpnXdG4e", + "outputId": "1110f3e2-5520-477c-9f5c-d7e5d202ba77" + }, + "source": [ + "grad_output[2]" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "155" + ] + }, + "metadata": { + "tags": [] + }, + "execution_count": 31 + } + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "7Iiu6dAQ5bNs" + }, + "source": [ + "## Small learning rate but starting close to global minimum\n", + "\n", + "### The example below uses a small learning rate (for this context) of $\\lambda = 0.1,$ but starts the algoirthm at $x_{1} = -5.$ The key point is that the initial value is now slight beyond the local minimum. Hence even with a small learning rate we are able to eventually converge to the global minimum." + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "3WKgyNeT5bNt", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 458 + }, + "outputId": "0d0eb7ac-dd6b-4b03-cb12-d97ad31722e0" + }, + "source": [ + "# Initial value x1 = -5 and learn rate lambda = 10\n", + "\n", + "grad_output = grad_descent(derivative,-5,1)\n", + "plotf(x,grad_output[1],\"Gradient Descent with lambda = 10 and start point = -5\")" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "tags": [], + "needs_background": "light" + } + } + ] + }, + { + "cell_type": "code", + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "g4tDyDvEdh4_", + "outputId": "6744fd43-d5ef-4a6b-a0a4-3a8679e88623" + }, + "source": [ + "grad_output[1]" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "execute_result", + "data": { + "text/plain": [ + "array([-3.01143616, 6.72279107, -4.14655271, 2.91878012, -6.76300996,\n", + " 4.89485449, 2.29724203, -6.26665275, -2.59482101, 6.65188675,\n", + " -2.87787679, 6.76986017, -5.02420532, -3.16954651, 6.56998637,\n", + " -1.50249925, 4.43125016, -1.03887977, 3.10454992, -6.64612123,\n", + " 2.77776915, -6.75995586, 4.83735732, 1.89203735, -5.43622563,\n", + " -5.24801587, -4.47009986, 0.7644714 , -2.29080396, 6.25588804,\n", + " 2.7088297 , -6.73226045, 4.32097251, -1.7977997 , 5.20722358,\n", + " 4.25882695, -2.20964135, 6.11255034, 4.0134673 , -3.69251039,\n", + " 5.21272267, 4.28807589, -2.01738673, 5.7225938 , 5.6211889 ,\n", + " 5.6193303 , 5.61787471, 5.61670025, 5.61573056])" + ] + }, + "metadata": { + "tags": [] + }, + "execution_count": 37 + } + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "UaxhaWkK5bNt" + }, + "source": [ + "## Initial value and learning rate are important\n", + "\n", + "### From the above exercises of changing the initial value and learning rate we can conclude that gradient descent is not guaranteed to converge to the global minimum. Having a really low learning rate can make convergence slower (more iterations before finding minimum) and make it more likely to get stuck at local minima. A very high learning rate may be even more problematic as gradient descent may never converge (try $\\lambda$ = 6 in the code). The initial value is also important for finding the global minimum. If we start close to the global minimum, we are more likely to find it in the above example even with a smaller than ideal learning rate.\n", + "\n", + "### The diagram below shows even with multiple variables different initial values can lead to different local minima from gradient descent." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "IT7IiypuhnfS" + }, + "source": [ + "![GradDescentMult.png](data:image/png;base64,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)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "ToQ5vmXp5bNt" + }, + "source": [ + "## Example: Minimizing multiple variable function\n", + "\n", + "### Let us consider the following straight forward bivariate function $$f(x,y) = x^2 + y^2 + 1.$$ Since this a function of two variables, we have have the following partial derivatives $$\\frac{df(x)}{dx} = f_{x} = 2x \\text{ and } \\frac{df(y)}{dy} = f_{y} = 2y.$$ Note that its easy to argue that the global minimum of $f(x,y)$ is (0,0) since $f(0,0) = 1$ and $f(x,y) \\ge 1.$\n" + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "sQZ-w8Be5bNt", + "colab": { + "base_uri": "https://localhost:8080/", + "height": 418 + }, + "outputId": "cc21dfb8-1656-4505-d8a4-b33339659eae" + }, + "source": [ + "# Plotting in 3D\n", + "from mpl_toolkits.mplot3d import Axes3D\n", + "from matplotlib import cm\n", + "from matplotlib.ticker import LinearLocator, FormatStrFormatter\n", + "\n", + "# f(x,y) = x^2 + y^2 + 1\n", + "def f(x,y):\n", + " return x**2 + y**2 + 1\n", + "\n", + "# (X,Y) grid on [-5,5]\n", + "y = arange(-5, 5, 0.25)\n", + "y = arange(-5, 5, 0.25)\n", + "X, Y = meshgrid(x, y)\n", + "\n", + "\n", + "# z = x^2 + y^2\n", + "Z = f(X,Y)\n", + "\n", + "# Plot (X,Y) in 3D\n", + "fig = figure(1)\n", + "ax = fig.gca(projection='3d')\n", + "surf = ax.plot_surface(X, Y, Z, rstride=1, cstride=1, cmap=cm.RdBu,linewidth=0, antialiased=False)\n", + "\n", + "ax.zaxis.set_major_locator(LinearLocator(10))\n", + "ax.zaxis.set_major_formatter(FormatStrFormatter('%.02f'))\n", + "fig.colorbar(surf, shrink = 0.7, aspect=5)\n", + "show()" + ], + "execution_count": null, + "outputs": [ + { + "output_type": "display_data", + "data": { + "image/png": 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PrXvghZTLFCMFZecNC30WVSX9h0ONC30OXDCsMNyiCuWYMFVr0SXV8ENDQ/B4PNi8eXPB/be+52FImhdGKgFg1tWxmEhYKNhBUBs2bLD4F/T19SEej1sEhD3sXm0Wc4Sh2HEFQcjrxEilUohGoxgZGaGdGKylNVuUyhbwku1OdRC8kHL5IIjLqy16McAFwwqCOO4ZhmG5m5qamkJHRwfWrFlTkgmTKIrIZrNz8ikgXg4+nw8HDhzAs88+W3D/re952PLYKaKgzKQx0vFpZltOOCha7k99IWdJsP4F9kmSZ86cwdTUFA27G4axYjsvAJTkxKlpGtauXYu1a9cCmO1qIZ8nKUolIkLTNMv52lMYAFwLKbml9VJD4IKhBnDBsEJwM2E6c+YMhoeHcemllyIYDBY/EOa+6JKJltu2baNV80Bli4/i8SCTTNq2zUYXFE1GJqXTx6/84hEcelN1I3uVLiLsJMn169dbwu6pVArPPfccPB4PQqEQrZWYS969FgKEpLSqTUV/C7auFlKUGo1GMTQ0hEwmQ4dlhcNheL3ePPFQrJCSFRC8kJKz0uCCYZlTzIQpGAyWbcJEIgzlwhZT2idaFrrwukUXWBSHIkkSVSD/J9SqoHCusGH3oaEhXHHFFdRManh4GN3d3ZBl2TVvX8o5LpUIA/FamAukKJV4eGSzWRw+fBi6rqO3txeJRKJgSsipkNLN0poUVPJCykWCwCMMtYALhmWMYRiW8CqJDAwPD+PUqVPYuXMnbWsrh0oiDLFYDMeOHcNFF12ElpaWvEWmUCGl4vFZuh1IVIGIBF8oQKMIiiYjnXD2RJCVpXcBsRsgkbw9cVCUJIlGIILBYFGfjFos7rVKSVT7uGSq5oYNG2hNyfT0tCUl5PF4qICwR3QKWVr39PTg4osvhqIoea2cPAox/wgAhGVm7V4MQRC+B+C1AC6Yptk6s+0LAK4HkAZwEsBfmqYZnXnuYwBuA2AA+KBpmr8s9h5cMCxDSFRhcHAQ8XgcW7ZsAZDLzx4/ftzVEKlUyokwkDkQIyMjBedAkMJL+x3arg/9zPJY9RWeIwEAqleBmc0JGhJdYNMS7/tZFL9uLen0Fx1OeftoNIqxsTH09fVBEATXwr+l0qpZy+OyCIKAQCCAQCBAOzGIpfXQ0BDtxGA/T6dODCBXB0RcKVOpFFKpFIBZS2teSDnPCALElRdheADA1wA8xGz7FYCPmaapC4LwOQAfA3CXIAi7ALwZwKUAmgE8IQjCNtM0jUJvwAXDMoM1YWIXdmLCdMkll9DFplJKjTAkEgm0t7ejvr4eBw4cKBiuLXYRdYoy5O2juf85k+iCoi2Ni0ipi7vdQVHXdUSjUXrXbJomgsEg6uvrabFrtc+zVgvgfC+swsyAMq/Xi6amJgDW+SJ9fX0AQMUDaw9OUihuhZSpVIoKDF5IOT+stJSEaZq/FgRhk23b48zD3wF408zPrwfw76ZppgCcEgShF8ABAP9b6D24YFgmOLVLSpIEXddx7NixgiZM5VKKYBgaGsKpU6cc50C4HdMetSgUXSDFjE4iQdVkpBKZggJiuSLLcl7hH+kcmJ6exh//+EfLPIy5/j1Uo9ZgMWOfL+JkDx4MBpHJZJBOpy2fp1shZSaT4YWUtWZ51jA0CoJwhHn8bdM0v13G698J4D9mfl6PnIAgDMxsK8jKu6IuQ9xMmOLxOIaHh7F161bHuoFKKZSSyGQyOH78OARBwIEDBywh8ULYRcieO37uuq+TEPAHPUgzaQfNqyA7k5ZQZ6IK5DEAvPJLv8MTH76ypHNbKKrx78VaMEejUbS2ttK8PekcYN0ovV5vWcefj9RBtahGSsbNHnxkZIS6ewYCAcvnWczS2q2QkguIyhEACMtPyI6aprm/khcKgvBxADqAf53LCXDBsIQpZMJ08uRJXLhwAatWrcJFF11U1fd1Ewzj4+Po7OzExRdfTEO6peIUtZAVCXoml1JTNJn+THCLLuSek5BK6HnPs/usRJw6B9gZDqlUquCCZ2cpCYZSvB3KhXyemqZh7969FnfPkydPIh6Pw+fzWSytnToxnAopASAajcLn86Gurs5SB8EpxrKMMFSEIAjvQK4Y8ipz9iI7CIBdGFpmthVk5V45lzilmDC1trbi7NmzVX9v++KezWbR09ODiYkJXHHFFWXfpdqPaY8uEGEgKxIEMX9xIgLASQiQ6IIyk6aoBUtlwXS6w7bPcGDdKEtpPayVD0MtqIVgsMO6ewKwmHP19/djenoamqbRtFAwGCw4E2N8fBxALjViL6TkltYFWJ4pibIRBOHVAO4E8FLTNOPMU/8PwL8JgvB/kSt63ArgcLHjccGwBCFRBbsJE7FZJiZMU1NTFfklFINd3IlAWbt2bcVzINhjFktFkCiDkzhQNAmZlFGwsFFlvBlSqVTVJkouF1dGJzdKksIgQ6DYO2YuGApjN+cCQDsxzp07h56eHkiSRAspQ6GQpXspm83SyAKQX0gJWDsxeCHlLCtNMAiC8AMAL0Ou1mEAwKeQ64rQAPxq5m/id6Zp3m6a5jFBEB4GcBy5VMX7i3VIAFwwLCncTJiSySTa29tRV1eHAwcO0ItLpQZLxRBFEYZhoL+/HwMDA2htbS3ZJdINIhjszoy+oMfyGHAXC3b8Qc1SGKkx7ZYA8IbvtuOe/bmitcU6knqhcWo9JG6U/f39GB8fh8fjQTwed/QuWEzUsgW0HOzeGul0GrFYDOPj4zh16hQA0AhEJpPJa+UE3AspH3zwQXg8HrznPe+Z66+1tBGEFefDYJrmWxw2f7fA/p8B8Jly3oMLhiWCk7UzMNuNsGPHDlqIRXDqPKgGhmHg5MmTCIVCOHjw4JxmShAEQcBL/vG3rs+TRd8XUKFnsjPbchEF637u56JoEtIJa2fF/v37MTk5Sad0kpHU9fX1dCT1cqEaCybrRtnc3Iy+vj6agiLeBaqqWtwoF4uAqFWEYa7HVVU1rzU2FoshFoshEolgenra0tli/5tkCymnpqYQCoXy3mOlkSt6XFmCYT7ggmGR4xZVICZMoii6diPUIsJw4cIFDA8Po6WlBdu2bavacZ0WMtVbvMPCTSDM+i4U8GZQRUsOH5gtAoxEIjhx4sSyExC1SHNomoaGhgZa6ErcKM+fP28JuTuZH80ntRIMhmFU9XdiOzEmJyexbds2+pl2dXUhmUxaClPZMelkAuqKh9cw1AQuGBYxrAkTG1UYHR1FV1cXtmzZQsOaTlRTMBiGQS9WLS0tqKurq8pxCX/5H+fpz4omW4obnRZ9J6Hg5Opor2vwBTVLVOL6Q3/AT991BX3sJiDIxTqVStE2xPr6+iUvIOaKU9TC7kZpNz8SBMEiIOyOo7WaJlqreota1kaQGgYyxRSA45j0RCKB3/zmNxgZGYHH48E73/lO/OxnP8OaNWvQ0dEBAPjoRz+Kn/70p1BVFVu2bMH9999Pj/nCCy/gPe95DyYmJiCKIn7/+9/n/W2Pj4/jlltuwenTp7Fp0yY8/PDDqK+vh2ma+NCHPoTHHnsMPp8PDzzwAK644gosLCvS6bHmcMGwCLG3S5KLEVm0E4lESSZM1RIMZA5ES0sLdu7cSUcHV4sDn3rS9TnS5ZBOGfRnFnvNA1Caq6Os5j5TrUiLpb2LgLTNRSIRKiDIqG9N0yrqEFnKlJLmsJsfkTHUkUgkL2cfDochimJNFuBamUzVUjA4RS+cClPPnTuHF154AU888QSeeeYZ1NfX46abbsLjj88a/b3qVa/CZz/7WciyjLvuuguf/exn8bnPfQ66ruPWW2/F97//fVx22WUYGxtzjFjee++9uOqqq3D33Xfj3nvvxb333ovPfe5z+PnPf46enh709PTg2WefxXvf+96i4+prjsBTErWAC4ZFhltUgR3etHPnzpLulOYqGEzTxKlTp3DhwgXs2bMHgUBuSmQlw6eKIckiDH22NoHUKRBYseANqBZPhmKOjkQ4VGP4FNs2RwTE8ePHkclkLD4GJIWx3AVENcZQs+6JZ8+ehWEYSKVSuHDhAsLhsGWq6VxYrDUMhSi1s6WpqQkf/OAHceLECXzwgx9Ec3MzHnnkETz22GN0v6uvvpr+fOWVV+JHP/oRAODxxx/Hnj17cNlllwFAXi0U4dFHH8XTTz8NAHj729+Ol73sZfjc5z6HRx99FG9729sgCAKuvPJKOl21XC+WaiJwH4aawAXDIqGQCVNfXx/GxsYKDm9yYi7hVzIHIhwO582BqGaqwx5dmF3cRYgOngusOHA2bsp3dVQ12eICGQxpiCcyNLrwjh8exwM37aro/EVRhKZpaGxspOFZNyMkksJYTi1v1SiktLsnJpNJvPDCC5iensbg4CB0Xbe4UVaaBqqlYKhlXUY5n+/09DRt4bz++utx3333Oe73ve99D7fccgsAoLu7G4Ig4JprrsHIyAje/OY3484778x7zfnz56kIWLduHc6fz6URBwcHLeZwLS0tGBwcXFDBAPAIQy3ggmER4GbtTDwOVq9ejba2tnmrNh8eHkZfX5/r+OtqdV8USkWwONcmzP7pqprkmrJQGdOn+UAQBBqBICOUSQqjp6cHyWQSfr/fEoFYygKiFnUBgiBA0zRs3ryZvoe9EJWN4pQqwmpZ9LhYOkHi8TiNBLrxmc98BrIs461vfSuAXITnf/7nf/D73/8ePp8PV111Ffbt24errrrK9RiL3iyKFz3WBC4YFhASVbhw4QImJiawadMmiwnT4OAgLr300nlrkyJzIAAUnAMhiqJleE6lyIpoST2wNQdqESto8lonkSArkiWiwOL1zHgyzBwr4KntV4DNN7MCgjgpLnUBUQtvA/sxnQpRyWfIijCnrgGWpVj0WC7FuiQeeOAB/OxnP8OTTz5JP4uWlha85CUvoSmi17zmNfjDH/6QJxjWrl1LUw3Dw8O0JmX9+vUWR9mBgQFqUrVwcMFQC7hgWCDYdkkSYRAEAclkEh0dHfD7/VXzOCgFMgdi8+bNaG5uLrhvNWoY/vQf/svymIgFQ89ajJlK7ZDw2eoa2GP4ZkTBVHxW5IR9CqLM4/c92oVvvH57ub9G2TgVrNmtmAOBANLpNOLx+KIXELUSDIUWYLaOhIiw6elpRCIR2jXg8/moCCN21kuxhqFcCkUYfvGLX+Dzn/88nnnmGfh8Prr9mmuuwec//3nE43GoqopnnnkGH/7wh/Ne/7rXvQ4PPvgg7r77bjz44IN4/etfT7d/7Wtfw5vf/GY8++yzCIVCC56OgIAVZ9w0H3DBsADYTZgkSYJhGDQV4GTCVMtz6e3tRTQaLXkOxFxrGOxiwQ1vQGOGT+WbNLlFF1yPNyMc6jzzE10ohUJWzGR4kVvP/WKh2udTbiSAdaMknyGZ33DmzBlMT0/D4/FAFEV4PJ6qL/C1FCLlkslkoKoq3vKWt+Dpp5/G6OgoWlpacM899+Czn/0sUqkUXvWqVwHIFT5+61vfQn19PT7ykY+gra0NgiDgNa95Da677joAwLve9S7cfvvt2L9/P+6++27cfPPN+O53v4uNGzfi4YcfBpCLSDz22GO45JJL4PP5cP/991fvQ6gQXvRYGxb+irmCcDNhymazGBkZga7rZY2EnivT09Nob2/HmjVr6MWiFCqNMGSzWbz4H5+xbJMV0eK5UMj2uZhJE4vPIyOe1Gl0oRA+dfFcWMjip6oqdu/ebREQ5O6ZTWEstICYj5REudjnN5imiWQyib6+PsRiMRw5coS6UdbX18/ZznoxFlP+4Ac/yNt22223ue5/66234tZbb83bfujQIfrzqlWr8OST+XVHgiDg61//ekXnWTN4DUNN4IJhnihkwtTZ2QmPx4M9e/bMy7mYpomBgQGcPXu2ohqJSooep6am0N7eDlEWkdXZuoXZWgVtxtlRTxtFWyWJsGDTEME6zSIS1oY9mEzmahl8qoTJpE6jC07c+cs+fP6ai8v6vWqN0ywHJwFBFr/5FhC1EAzVXoAFQYDX60VdXR1WrVqFdevW0QFQw8PD6O7uhizLFjvrchbqxSIYamV4tVThgqH6cMFQY9yiCoZhoLu7G/F4HK2trTh9+nRNz4Fc1NPpNDo6OqBpWsU1EqIolnxxYsXJnb+eMaJwAf+BAAAgAElEQVSyiQY7rFhgPRfs7ZFAed0PrFjwqrmfjRnhE/DMLaozXxdrJwERj8epCRJpq3MbR11tFmOEwQ021eE0ACoajWJkZAS9vb2QJImaSTm5UbIYhlGxV8SGG78IAOj/zzscj1uJEFlsKauFwqktmzM3uGCoIcVMmFpaWrBjxw7qFlgLSL2BJEkYGRlBd3c3tm7dSiuc53LMYqTTaRw7dgyqqlKxwEKEgTegImsUXnBJRMFezBgnEYQZMeCUgiAph4BHwVRy7t0ddhbyAs2G31kBYR9HXV9fD8Mwqr4YL0TRYy2O6+RGGY1GLRMkWTtrNm041wiDk1gAyp9RUSuhtRQRBMGS6uRUBy4YakC5JkySJNVUMGQymbIspYtRSg0D6bq45JJLcPND3ZAkEYZhTUU4QeoU9HTWuRuCEQnkMUudRy6aeiDRhYAmI5ZI0+iCV5HwqafO4J5XbCz4uy1mnPL3RECk02kcPnwYPp+PpjDmGoGoRaviYmh/VBTFcYIkKaQ0TZOORc9kMhUJBhJdqMb5AjmzteXuLFoOXDxVHy4YqoybCdP09DQ6OjqwatWqPBMmURRhGIbbIedENpvFc889V5aldDEKCQbSdRGLxbBv374ZV75uyz4kSmDoVlHg9rNTIaRTJMFJJDSFvYjFZ0XBupAXscRslCHkVWEs49wvKyCGhoawf/9+JBIJRCIR2kFABhuFw2EEAoGy/kaWWkqi0kiA3Y3SMAwqIC5cuIDR0VGMjY3Rz7FUUe4WXSDvUU6EgUSTOJxawQVDlXCLKpimibNnz2JgYMC1wLAWY6hN08Tp06cxNTWFyy+/vKptmm7nG4/H0d7ejsbGRuzfvx+CIOClX/jvOb0XaYVMpQ0qEhqDGuLpnMAiEQWW2bZJ97qEwIwI8akSJlM6vPPkBLnQCIIAn88Hn89HIxCJRALRaBT9/f20BZF0YRQTEEuh6LEWx5UkCQ0NDWhoaICu61i9ejUEQUA0GsXQ0BAymYzFztp+518sulDJ+ZL6FU4OXsNQfbhgqAKmaSKTycAwDEtUIZlM4tixY/D5fAULDKt9wU0kEujo6EAwGMSqVauqHqZ06pIYGhrC6dOnsWvXLjoy9xVf+o1lH0kSIcmzF0A2iuDxKTRloWky0mlrxKVQe2Sh9AMwKxwCRTovyLG++NtB3PGnC+1UNz+wAqK5udlVQJAUhl1ALLUIQy2OaxgGZFmmAmHTpk2Wsej2mSLhcBiKP4TMdKzoccuJMBRzeVxRCOA1DDWAC4Y5YjdhIhekc+fO4eTJk9i+fTu1XJ0P7OZPL7zwQtWjF2yXhK7rFjtpUk1uFwtATiCQ4kZFk+h0SjblQCybVVWCVOQL7yQUnKIKAU3GFNNd0RTKtVuSYsimkMfi+riScRIQyWQSkUgEZ8+exdTUFBUQ4XC4JovwQhQ9zgWnSIB9LDrr6Ln79n8FADx2z6sxMDDg2s1SiWDgNQw5BHDBUAu4YKgQt3bJTCaDzs5OmKY5ryZMZOHOZrOW963WoCgWkmqJRqM4fvw4Nm3aZLGTZsUCGVvtVMDIjrS2E/DISDBpBwCIpw26yLNigXQ/OIkFkmooNboAAF5V4hXnMxAPA6/XaxEQ0WgUAwMDiMfjeOGFFywpjLkuyouh6LHax2UdPQmbNm3K62Zha0nKPV8eYWARIPLvb9XhgqEC3KIKY2NjOHHiBC6++OJ59VKPRCI4fvy44xyIWtRHCIKAqakpdHV1Ye/evZZCq1d+5bcQJaFgm6RbQWOdX0W6gD8D68joVWUk0joVCavrPEjM+DV4FYn+7HaM2VZL56/AQ8fGsA/nUF9fj/r6+qIzHVaKaQ4rIJqamjA9PY1t27ZRATE1NQVN0ywpjHIX6cVY9Fit425523cAALLqzfPTIKkgEsnJZrN0n1LcKHkNAwNPSdQELhjKoJgJ0/T0NNMZUHuy2SxOnjyJSCSCyy+/3LFCutqCIZlM4vnnn4dpmnndHq/8ym8dX1OoVkGfEQg+S8Rg9k5fdvjSl2KyxBYxksgBWxwZ8imIMWmIprAHU0kdXkaUbNq0CZFIBCdPnkQikaCWzPX19ZaRyis9EsEKCAB04RscHMTk5CQVEOFwuKSFbzEs7LU+btchqw2zPRUEAN3d3TBNE0NDQ5icnISiKFSIBYPBvPfkEQYrXDBUHy4YSiSbzWJsbIwWfZFFYmJiAh0dHVi/fj127Ngxp8WjnDsrMgdi9erVBedAVFMwkLqMbdu2oa+vr6SLpNsUSlKrIMsiFQ2A9Y7fp0o04kC8ExJpndnXPQXhhD2qUGz4lH2g0dTUFCKRCB2pHAgEUF9fD113HqW9mJjPCIhdQJAaCLLwFZvjsNSKHksVDDve/QMongDMbGkt1JIkIRwO0w6nVCqFaDSK8+fPo6enhz4fDoehqioXDAyCwLskasHimMm6iCFRhVQqhfb2dosJ08mTJ3H8+HHs2bMHGzdunNPFqFS7ZdKm+fzzz2Pnzp3YsmVLwfethmDQdR0dHR0YHh5GW1sbGhoa8s716q/9b97rinkpENjogibn/0kSsQBYRQIRB04igUQVinVQ5I4vWf5PhMR/dI7TfUgOesOGDdizZw/a2trQ0tKCTCaD8fFxdHV1obOzE+fOnUMqlSr6nisJj8eDpqYm7Ny5EwcOHMCOHTvg8XgwNDSEI0eO4OjRozh9+jRisRiy2WzNBMN8Fj0Wwh5dcMNuDa1pGtauXYvt27ejra0Nra2tCAQCOHv2LF7xilfgK1/5Ch5//HFcffXVWL16NVpbW+lrf/jDH+LSSy+FKIo4cuQI3f6rX/0K+/btw+7du7Fv3z489dRTjufi9vqxsTG8/OUvRyAQwF//9V+X/BnMB4K4vP5bDPAIQwGcTJgEQbCYMB04cKAqFyFi3lToWKzVMtuRUOy4cxEMJIJy0UUXoaWlhRY8ssd0Egts6sFOuE6jBY0Bj0yjCHW26IKdgCbT2gSnIsY1dZrF5dE6O8J6PPJ4ik1TeBWLqVMhBEFAMBhEMBhEJpNBKBSCqqqIRCLo7OxEOp2mToD19fVzdtecK4upiNM+xyGVSiESiWB4eBhdXV0wDAN1dXXweDyOofdKqVVKAqhNWqrY8CnWzvrw4cP4x3/8R2QyGQwODqK5uRnDw8N039bWVjzyyCN4z3veYzlGY2MjfvrTn6K5uRkdHR245pprMDg4mPdebq/3eDz4+7//e3R0dKCjo2OOv3F1WSx/78sJLhgcKGTC1N/fX9CEqVKKLeyVzoGoVDCYpokzZ85geHgYe/bsQSAQoM+xX0RWLIiigGzWzIsmsLUKdb7ZCAG5k1dl0RJZYMVCQ2BWXNDXscOplPyuCfb4U8nC6QIaVdCsaQqPVN7CwgqIjRs30j58UpCq67pFQFQ6rGguLNYLqKZpFgHR09MDIJcC6+7uLpq7L4eF+gx2vDs3blrSSm97LLet0jAMvOhFL8INN9yA06dP47WvfS19bufOnY6vufzyy+nPl156KRKJBFKpVJ7AdXu93+/Hi1/8YvT29pZ8nvNBrsZscf69L2W4YLDhZsKUSqWQSCQwOTlZ8ZTHQrjNk2CnWlYyB6KStkqSfgkEAjh48KDrBfqab/wub5uTWABytQr2u/xisOkHsqAXK2Z0Eg5sqsFe2FiMn/TE8Iat5QtDtg+fGPlMTEwgEolgcHAQhmHQaYj19fU1b79dSl0coigWzN2TUdTVEBDzzbGvvqHkfee7rfI///M/ccUVVyx4NKxa8KLH6sMFAwOJKriZMHm9XmzdurXqYgFwnicxOTmJjo4ONDc3V1xQWc4oamA2krFt2zY6eMeJe47mLmSCKMDMEjMmmf4MFG6TXGOxd1aQ1kmKIrdwWoob2dZLj0xfx26j+86IAhIpWB3ULFGGgEeGMXOO/pnaiOzM50OiHNkseVy9f2eyCIbDYWzevBmGYVABMTAwQAUE8TOoNospJVEM+7mS3P3atWsBuAuIcDiMYDBYk+/nXNj94ccAAN768gzc5tPp8dixY7jrrrvw+OOPV/T6xQgXDNWHCwYUN2HKZrNoa2tDR0dHzYZEsakDMgfi3Llz2L17tyUdUMlxSznnbDaLrq6ukiIZr/7ms3nb7NMn7VbO7ELNLvB1bBTB5WefKhUUCex7uEFTDbKE6XT1uxrKvYOXJIm2aAKzw4wikQi1ZO7p6aECopR6leVCMXFjFxDpdJoOgert7aWf7WISELI3gD9+7lVlvaZYTZOdSgXDwMAAbrjhBjz00EPYsmVL2a9flAjgxk01YOVchVwoZsLEmiFJklQzwUBSEslkEu3t7QgGgwXTAaVCxlsXYmpqCu3t7SVFMpzEAosgCnkhf7JYS6JgqU9gxUKDX0N6pkiSLW6ss0UXgFx0gtQ1kPdi6xxYHwc3SHTBI4uIZwwaXfApEqZSOo0uaLKIn5+axLWb61yPVY07d3aYEQAcPnwYDQ0NdKqkaZo0DB8KhcoWEEspwlBuKJ4t/gNmBcTIyAgVEOFwGLqul33XXoxiQpFEF5QKvFmKFT3aicfjZd9cRKNRXHfddbj33nvxohe9qNxTXLRwa+jasGIFQyETpp6eHkxOTuaZMLnVGVQDURQxMjKCCxcu0DkQ1Tqu2zmbpomBgQGcPXsWu3fvttjW2ikkFDxehUYP2EgCeUyo8ygwSvz8vIrVtKlQbQL7Pk4CYm2dhumMAc+MCFjt1xBnnCB9imQZcR3QZGQKOFXOF+w4ZV3XEY1GEYlEcOrUKQiCYBEQxRaWpSQY5nqubgJicHAQf/jDHyz+BaV8doUoRdyYWQOyUr5gKPdzIBGGt7zlLXj66acxOjqKlpYW3HPPPWhoaMAHPvABjIyM4LrrrsPevXvxy1/+El/72tfQ29uLT3/60/j0pz8NAHj88cexZs0avOtd78Ltt9+O/fv348c//rHj64GcwdnExATS6TR+8pOf4PHHH8euXbvK/n2ri8AFQw1YkYIhm80ik8lY2iWBXAvhsWPH0NzcjO3bt+d9WUsN75eLrusYHR2FoihVnz/hJhjYFs1iRZxOYoF0jWiatX6AhSzyKYc6BuKtkNazlhoFt5kPXlVCIm04ph3YuRPs/gDgL2Dk5JmJKngVCVNpHb6ZfTVJRMawRh0WGlmW0djYSAeZZTIZxGIxjI2Noa+vD4Ig0DD8XBfBhaba7Y9EQJw5cwZtbW1Ip9OIxWIYHR3FyZMnIYpixZ9doXMl0QVfKIDDn355VX6XQkxPTyMQCOAHP/iB4/M33HBD3rZPfOIT+MQnPuG4/6FDhyyvdXo9AJw+fbr8k6013LipJqwowWBvlyRfdNM0cerUKVy4cKFgzUAtUhKk7c7v96Opqanq1fJOgoGkWy655BKaB3bDLbLgLRBJsKcegNn0Q8ir0tQDYBUIq/wqFRd1jAhwEgn2YkagcAqCRBcqXfyfGYjjpS351tu1otidpaIoeQIiGo3SRZDcRZMIRK3GUNeCWp+rqqpYvXo1Leolnx0rvkqN3hQSDLKqQBCEgqZl1SSRSPBplQxLJaK2lFgxgsEtqhCPx9He3o6GhoaiJkzVFAzEKXJ8fByXX345zp8/X5N0BysYstksent7EYvFSpp5UUgssNjTEHV5j51FUEBzNm1ip0ayI67dogtkX4JTVMGnSJY0RL1XQSJj0DbNRp+aq2WY8V9o9CmYTBtUYHgcHCgXE4qiWBZBeyEgqWWJRqNVa0WspSNjtY9baGG3f3ZuAoJEINj6EbfjXn7Xr+jv4g3Mj+eGaZpLOrJUTXI1DAt9FsuPZS8YCpkwkfz9rl27Smplq5ZgICKlsbGRDnCqxVRJYLatkrzn6tWrsX///ooLG53EApCLKhhZM6/WgHQ72FMPBFUWC06otL+PW1rCr0iYzhiOYkGbY3RhKWLP409MTKCrq8tihkS6NEoZCOXEUpoqWc4xnQRELBbD+Pi4pX6EdK/YF2kiFgRBgKxK+NWHDpZ9vuVGb5aSz8a8sAJTEoIgfA/AawFcME2zdWZbA4D/ALAJwGkAN5umGRFyX9wvA3gNgDiAd5im+Ydi77GsBYOTtTOQ6+M+duwYNE0r2WIZmHvRo2maGBwcRH9/f55IqVVBpSiKmJycxNGjR0typyxHLIR9CnRbZIGl0FRJu7cCYVVAZQZOSXlighULjQENSd1dJKR0Z3GnMbULwGz0gEQXyONGn4J4JksfHx1JY+/q+XdorAaKosDj8WDHjh0AZu2YyUCoSkZSL6UIw1zmSDilf0gL7NjYGNLpNHp7e2kKg31PX4XRhUpEE3uN46zILokHAHwNwEPMtrsBPGma5r2CINw98/guANcC2Drz30EA35z5f0GWtWAwDCNPLJw/fx69vb1FjYmcmEvRIykyJIWNdpFSSvtjuWQyGTpZ8UUvelFRYVSOWLCLA3sHRMinWmscCtQqEFHAigGnDggWj4OpUoNXtYgE1njJp+QuvvFMltkm5XVLsI/LYand4dntmMlEyYGBAUxNTUHTNBqBIBNa7Sy1CEO1zpUVEI2NjTh37hzC4TAikQhe+fncTZogCPDVaXjiI+VHF8j58vTCXFh54sk0zV8LgrDJtvn1AF428/ODAJ5GTjC8HsBDZu7C9TtBEMKCIDSZpjmMAixrwcC2S+q6js7OThiGgba2toq8/CVJQjqdLvt1o6Oj6OrqKlhkWO2URDQaxbFjx7B+/XpIklRQLBTzVihFLACAJIowstm8yAIRC2k961iroMoiVKZGwGuZJcFEHBTJUjAJONcrzKYgRItAyD1n7Xxwiy6Q/ezPO7EULkzFFncyUZKMpE4kEohEIjh79iympqbg8XiogPD7/TStt1QiDLUaPJXNZi0dLIp2FpmUDlWToWgSnn/+eeqhwaYxilGuX4Su61xgMCzT8daNgiAcYR5/2zTNbxd5zVpGBJwDQBag9QDOMvsNzGxb2YIBAMbHx9HZ2YnNmzejqamp4ouRJEm47M+/QB9P/u6bBfcncyCmp6eLFhlWKyVhmib6+vowOjqKyy+/HIIgYHx83HHfcoUCkC8WwvZIgotYcHptOZD0gSqJFgc3knqYNVpyKngU6XPlRhDsouNERMeO+qX3tSl3EfZ6vfB6vWhuboZpmlRAnDlzBlNTU/D5fKirq4NhGFVf4JeaYCDHPfDJ/wKQcz2VVQn/dcefAsgt5rFYDNFolJpwERvwUCjk2BlV7vlOT0/PaY7EcmQZpiRGTdPcX+mLTdM0BUGYUyh06V35ysAwDHR1dWFiYgJXXHHFnFuO7Aq+7sr3QvYEEHn6C3n7kjkQTU1NJc2BqIbHQyKRQHt7O+rr62kxZSqVchQi1RALTuKANUAKe2drHNjUA2CtVQg4pCXciht9ioTkzL7UN8GWeohnslQk1HsVS5qCLXwk0QMieOhj0/rYHn1YaQiCAJ/PB5/Ph/Xr19Mi2pGRESQSCRw+fBh+v596Gfh8vjkt+Is9JWE/rv1cRUGAos3+ncmynGfC5SQgSARCUZSyIwzT09Pw+eav7XexIwiwdFitYM6TVIMgCE0ALsxsHwRwEbNfy8y2gixrwRCPx6FpWtGugFIRRRHPfu8DOPjOr9JtenIK9S/7KAAg8vQXLGOhW1tbC7on2o89lwgDGZC1c+dOai/sdFwyYdLt83ASCkCuwLGUSIIkCDBM02LpbIcVAqX8HPYqeeZPTh0PRCQ4Uc1BUqcms9hct7TEQzXv2gVBgN/vpwW1ra2tiMfjiEQi6OvroxbFpIjS6/WW/d6LqeixEGRhJ9EFAPCFNGgFCn7tAsI+R8Q0TXg8HtrdVYo3Szwe54KB48T/A/B2APfO/P9RZvtfC4Lw78gVO8aK1S8Ay1wwBIPBol4D5VCsrXLtdX8PAHjmn24qew5EpSkJXddx4sQJ6Lru6BJJBMPVX/vfoiE6J7EQ9uVfrAqlHQDkiQW3WgVWFDT4Zw2d/IqEpGGNIrA/s3f6pNaAFRRsCsIOiUCw0YN41qCPfYqEybRueQyAWkWT9ztx4oRleNRKhJ2/4vf74ff70dLSAtM0MT09jUgkgt7eXiSTyTwBMd/UOiUhKxL0jAF/UIOsSPj5+0qPHNvniBiGgYGBAYyMjKC9vT1vkqmTgJjraOvlyEqLMAiC8APkChwbBUEYAPAp5ITCw4Ig3AbgDICbZ3Z/DLmWyl7k2ir/spT3WNaCodoQwSB7ck6QenLK8nx6egKqP4iX/p8fQvHn2qsGHv5gSceuJCUxMTGBjo4ObNiwAevXr8+7K7vqn38LSS7+pSkUVbDjJhbYSZRsJIKNTARsaYlCHgweSaSiAbAKB68iOUQcrCKBTUPUexVLmqLBK+d1S2SZVEqdKiNTRLw1NTVhfHwcg4ODiMfjNJLkdkFfaGrVquh0TEEQEAgEEAgEcNFFF8E0TUxNTSESiaC7uxupVAqBQIAKrmqKejdqKRhueeAUAEDVZAiiUHErJUGSJPh8PqxatYqOQicpjLNnz1IBQVIYqqryCIMNAcKKEwymab7F5amrHPY1Aby/3PfggqEMiGCIPP0F1L/so1Q4OJGZjkHxh9By81egzOx36qF3uu5fTkqCjL8+f/489uzZY7GyfsWXfmO5iBu6SUWDmTVplIFc7EuNKgAlRBZcTJ3sP+c9xxzH7xBRAHJ39ik9S4sfyTayn91zoZQUBKlN8NlnScgiMuksfayI1tkSsihgQgxi8+YQNm/eTOcRTExM0JDyXCZL1oL5FAx2BEFAXV0d6urqsGHDBmSzWSogurq6kEqlUFdXV9OITS0FAwBLdOEnf7m3Kscl5+sUgZiYmKBtsHfddRdWrVoFWZYxMjJiaRf/8pe/jO985zswTRN/9Vd/hb/5m7/B0aNHcfvttyOZTEKWZXzjG9/AgQMHLO9/9OhRvPe978XExAQkScLHP/5x3HLLLQCAt771rThy5AhtEb/vvvsWn0jmNQw1YeGvZEuIQmkD1R9Eenqi4Os3v+17kL2zi3vPfTfTn0tNSaRSKbS3tyMQCODAgQN4+T/9ZvYY8uxsjGIXck2THb9QxQobabSggFiQbCOuWXGQl5ZgjhP2KMjMRBU0WaJ3+U71CiGPTIsfyf5OkKhCofoGJwKqbIk62CdaspA7QuKqSCZLss6AZDEMBoPLpv2tUhEiiiKCwSCCwSA2btyIbDaLyclJRCIRdHZ2Ynp6mqZ8wuEwNE2b87nWqujxLQ+dATAbXZDL/Dtzo1DRoyRJFnH14x//GN/4xjfw61//GjfffDMmJydx44034vrrr8d3vvMdHD58GKqq4tWvfjVe+9rX4s4778SnPvUpXHvttXjsscdw55134umnn7a8h8/nw0MPPYStW7diaGgI+/btwzXXXINwOIy3vvWt+Jd/+RcAwJ//+Z/j0KFDeO9731uV37taCOCCoRYsa8FQ7QsEiTBks1ko3gAyCWtKQvUHHV+XSU7RKAPLjg/8dPa1ZOH8wc8hzyyQMrPoitLs75LbPg3gPKQC/gBOaC7FiOyCb2TNgl82N7HgNuKaxatK9Dm/IiEz87M1mjB7Z68wv7fXsdCxtOJHjywiqc/WLtR7FMQzs7MiGnwKkpmsJYqQNkwoM3d5sgQYOujIbaXA5+M0WTIajWJkZAS9vb2QZXnOtszlspARhmKIoohQKERdEg8fPox169ZRJ0pd1xEMBqmAqMRDpRYRhpfc+z8AAFWTaCqisb469RnlnC9J/Vx77bW4++67kUwmMTAwgD/+8Y84ePAgTVW89KUvxSOPPAJBEDAxkbu5icViaG5uzjvmtm3b6M/Nzc1Ys2YNRkZGEA6H8ZrXvIY+d+DAAQwMDMzlV60JgjD7XeVUj2UtGKqNIAjQdR2///3v8duvvhV/+oF/BYA84cBGEezoiamCz1v2TRtUNGQNk4oGdnspKEVGRjv5IzjZOge0/CFT+a9zTj0YWdNxQJQiClQ02PEpIn2OpA8yWdOxvZEIAjexwP6/UgKqiKQ+e67nEsC6EtYH+2wCJ1vmYq6K1WCxCgY77KwGILd4khz+wMBASUWATudaK2EmiAIUTYaiyXjgpl1VOaZhGGWF+VkfBo/Hg0suuQSZTAYf//jHMTY2Bq/Xi8ceewz79+/HP//zP+Oaa67BHXfcgWw2i9/+9rcFj3348GGk02ls2bLFsj2TyeD73/8+vvzlL5f/C9YYHmGoDcteMBBHurlimiaGhoYQj8dx4MAByxwIxRuAmc1CsF2QzKwB1ec+u8FIJyCpuRUnPeMOVy6GkaVRBkPP0rSErIr0Ys5ut0cPyhELwOyQKSdYsRCytWGyYqFOk5HNWsP97PuQjgQn2EW/watYogYN3tk0BREQTmiSdRiVOlPjwUYXgJyoSRsm7NkOEl2oVH/YbZmJKVJ/fz81RUqn07S3vhqLcq2sq+fD5VIURSqoSBEgyeGTIkDWSbEaRkjFYKMLiiZD1SSsquJUynJ9GOLxOHXpJOzcuRN33XUXrr76avj9fuzduxeSJOGb3/wmvvSlL+HGG2/Eww8/jNtuuw1PPPGE43GHh4fxF3/xF3jwwQfzPr/3ve99eMlLXoI/+7M/K/8XrDXCyit6nA+WvWCoBul0GsePH4ckSfD7/VQsyB4/9OQ03a9Y5IA8r3h8yCTjrvvpGYOmJcpB0SQqDArhZIiU2+4+htqOW4Gjk5jwF+g60OTZDgWNOXcSKQhpsuPCX8rkSY/leNLM+c0+r8oC0kzEQJVyaYhyiGXmflGyuyrG43EcPXrU4mlAFsxKWxJr5Z64ELbY9hy+k4+B3Yq5VrMZSPRO0WQcunFn1Y5brsBJJBKObZW33XYbbrvtNgDA3/7t36KlpQUf+9jHaFTgpptuwrve9S7HY05MTOC6667DZz7zGVx55ZWW5+655x6MjIzgvvvuK/kc55NchGFpeaUsBbhgKMLY2BhOnDiBLVu2YN26dZbw3ZQGwE0AACAASURBVNCP70DzDV8EAItwAOBYs0DIJONQPLm8IisM2NSBObPwCiJgzixykizS/VlhwNY3uOEmEmafzy9uDHnzBYS9bdLpuOw2vzpzQRVFZLJZx1oFURAstQpuBYrktSlm1XdLT5D93aygSVSB/H82amB7PHO65HFAFZHSzYqjC8UgngaKomD37t2OLYlsR0E1CgIrpVZ1EeVi7yIgToqRSASnT5+m5xgOh6Hr+py7Vl7xf/8XQG5WgSAKVY8uAJVFGJwEw4ULF7BmzRr09/fjkUcewe9+9zt89atfxTPPPIOXvexleOqpp7B169a816XTadxwww1429vehje96U2W5w4dOoRf/vKXePLJJ+el/qZSeISh+ix7wVBpSiKbzaK7uxuTk5NF50AAuWiDaRgQbF9yM2tQTwYn3KIJiocVEvnPs2kGtr6B3a6qEu1IYFMR7M9e1blbolBUodS0RFCTwd6wu6Ue2FqFWaMkq7hw+pnUNaSMLBORUJCy+Vmw7ZFGkU4Ue5RBFQWkXX7X+cCpJZF0FBw/fhyZTIbm8+vr613z3ou56LHax3SyYu7q6sL09DSOHj1KayRI22s5CzMRCwBoKqI+5KlqdAEoP8LgJhhuvPFGjI2NQVEUfP3rX0c4HMZ3vvMdfOhDH4Ku6/B4PPj2t3Pzi44cOYJvfetbOHToEB5++GH8+te/xtjYGB544AEAwAMPPIC9e/fi9ttvx8aNG/Enf/InAIA3vvGN+OQnPzn3X7qKcGvo2rDsBUMlsHMgtm/fnncBYy9q9m6JQpGF3PPu5iqZlO5aoFgqqiZDLuH2t66M9ENuf3cfBfs2I2vmTZH0yCJtSywlncAS8syKC48s5hVJOkUkyHuENMWSDvHIIrLIvV6ViCdF7rm86MLMYe3RB/v21RsuxvToubJ+p2K4LZpsR8GmTZtoQSDJ52ezWboYspMRF+viPh/HlGUZHo8H4XAYq1atol0rY2Nj6OvrgyiK9DMrte1V8yq02NFXRgFyqVQrwvDf//3fedte/OIX47nnnsvbvn//fhw6dAgAcOutt+LWW291fC9d10s+r4ViJRo3zQdcMDCYpon+/n4MDQ25zoGgbo9MWNOpxRJAQWMnwJr/pOcwsxjq6SxkNbcyCaJAt8++1lqvUEp7ZbFpkXaxYGRNRxMnr+0CaRcPTmIBmJ0zwUIWe0UUoEj5NQdOx1FEwTKxkqAVuMCy7ZHpuc34shRUylR0VC8KUc6x2IJAILfQRKNRSzg+HA5XbRqq/TyX4lRJe9dKJpNBJBKhba9sjUQwGKSvI9EF8l3zBzUEPDK2ri1tXky551vu8CluDW1FWgJj55caXDDMQAyR/H4/Dhw4UNA0hb3wnvm327Hxz78FZaag0cwaEERbWsIwoPrdLypsZMEy5U5l0xKz/1TEHMbS/cB0S9hhfRJm0xJZWhTkVaSSTJyA4mLBYzsHu+2yNbVgFQhOaQnNIVriNLGSTUOQqIJSYOEh0QVlxm/BHl0g50wfz7xOse1H33NNM4A5KpEqIEmSJRxP7qaHh4cxMTGByclJx8WwEpZKhAEoLEQURcGaNWuo8VY6nUY0GsX58+fR09NDfTPIvAhFk2hHk0+V8H/+JN/HYK4YhlF2SoJ1fF3p8JREbVj2gqGUi8/58+fR29uL7du3U7MdN4oNoAJKjyw4oWeyc3aLs7spulFq+gHIFwpAcbFgd1/0MuKhlFoFViyEPHLBiZUkuuBUBOlVROjGbAGjX7GmNVRJQLllCqokUBGxmO9kyN00me/Q0tKCSCSCc+fOobu7G6qqWkykylmsayUYahVhKPVcVVW1CIhUKoXrv/187rmZ74wgCgh4ZGxc5a+JwKlWSmIlwwVD9Vn2gqEQZNJjJpNBW1tbSQ5yTkOi3IZRAcVbLYl4UJnIAvEoEAWBLrCiKFi8Cwisc2NJIqHA2N1ShULuOOWLBSD3Ozm1OwJAQJXowq1JoqM1NK1NYOoa7O2RgDUF4QZbm5BzdXR5bKt1KKEpZU7UwjOBLO6qqmLt2rVYu3YtACCZTNKZBJOTk/B6vVRA+P2FF8Ol1Ko5FyFCxIKeMeDxKVA1GQGPjDVBD/40exLPPz9Oa0bKFV2Fzrec43DBYIU7PdaGFSsYYrEYjh075jrp0Q2nCMPJ792KLe/8l4KRhWzWhOZVkEk5FwylUwYVDayBk/VnJl0xs3DqerakIsdCQgFAWYVbdrFAFvEsk1JguyO8tgU/W+KCSFox7e/jhCoLEGFthWTnUXmVnKOkm6WzXxGt3RGSWHDhlme6J0h0QREBAxIkszppifkK9Xs8HjQ1NaGpqQmmaVITqdOnT9O8OOsBwR5juaQkSkXVZDozos4jw6vkfFm2bdtGXSinpqZogeVcnTvLeV06na7IMnu5wosea8OyFwxOHQ59fX0YHR3FZZddVrYqLyUlUaiVkljIFqJS46a0nqVRBk0WoTrcXrN1DD7VuXYBKO6vQLAv4vmPZ2oszPznSFtk1jQt6QfNpfhRkQRkDOu+rI+CYavpKxRd8Moi9KyZdxcyW8uQK46UbbUObHRBFQWLMJJFAVXSCwuCIAjw+Xzw+XxYv349TNPE9PQ0IpEIent7kUgkLB4QS7XosRyu/cYRALkIH2ldbgp74FVl/MMrN+H3vx+hxltEdJGoTX9/P6anp+HxeEqO2lSKIAiL2hNhIeCCofose8HAEo/H0dHRgfr6erS1tVX0BXMTDCT1oDt0S6iajDQTWWCLHNmoAdnGRiFK8ZFgF3KnIkE7dQUES6lCASgsFiTB7txoTT2w9s/sfuxzuULIWatnO341v8XSSSTYCxUrDVWqktV/QpEEGLoJtuREkWVkFmHbWSWLO6l7IMONTNOkHhAnTpygi6GiKKivr6/KHW6tIgyVpCSIWABmupIkEb6Z78KaOmfDLEEQ8pw77VEbn89HBUQ1rL9rZfu9lOFFj7VhRQgG0zQxPDyMU6dOYdeuXbQFrRLc2tO6vv4GbH//T1xrFlQmssAKAjYVQVA02eYAmZ+KANzrC9xwmvZIcLeLLh5VYLeRtIS9wNHNcZkVBU61Cooogi2PcBJERAiQtAO7jcVuwuSbSUOQfWcfM89nrbUNhi0qkXN+zFY1X1rLGoa5IAiCZSz12bNnkUqlEI/HMTg4WNFQKKfzXOiiRzuqJkHTZIR9ClRZhFeVcdeLW0r6d3KK2sTjcUQiEZw6dapo2qccFsKme7HCh0/VhmUvGDKZDJ5//nmIooiDBw/O2RbWqejRCTNrQPNa70LSiQxUr0Id4vLOtULjJjYVkdJnWxFVWYTq0GrJ7uMtMy1RLAUB5NcsALmIQy4tkR91sI+xZlHl2bt68rvoWdPSFmnHTSwAs9EFtcLKxYCaa+l0O9/cewHpOVoeLJWLv9/vR1NTEx0K5TTTgQiIUqr+a1X0WG5KgkQXJDln/yzN/OdVZRpdqDRq4/f74ff70dLSQtM+0WgUJ0+epDMh0uk04vF4SQKCRxgc4BGGmrDsBUM8HrdMBpwrhWoYZDV3R6WnM3nPKZrsGllgRYKiScikDMsMiVLSEqxzY2ndEu7/9G6Ri3LFQkCVbR4Ms+dVp0l5NQeFnmOFD7vYy6JgERCW18xEFNQCF478GRKwPCbFkKVEEORFfH2ajwJFp5kO0WgU4+PjOHXqFARBoHfSoVDIcQFfDEWPr/32c5DkXLoJyHUi1XlyFuoBLRddKPeYbrBpHyIgYrEYYrEYent7kUwmEQgEqPByGj6WTCaLWtevNHjRY21Y9oIhHA5Xtd1IkiRkMvmCAACe++xV2PexJ6lwsEMiC+mUVXDYIwsKFRKMzwDzPLugl9PdUNTp0fY8KZAslIKg5+dg2GR/bHd5JLC20R6HgkavIlIBoYizbpFOizgpZiQigRULsk1UELFg7Y5wn1hJayEkq8jwiCZ0WI999uxZNDQ0VG089VxZiI4GWZbR2NhIvU2IIdKFCxfQ09NDax+IB4QoijUregTKi9oYukndVAMzYmF1nQdrgrNRw3K9Eko9R5LC2LNnj+vwMSIgPB4PpqenK55iupzhgqH6LHvBUG0kSUIymczbTi6CLIaRhWZrZ0wldGjefEtoQiZlOA6bKkZaN2hXhCqJSM+ssKos0vQD2yHBpjHc0hJ+RYLosN1RDFhqA5wjEcQamhUFrG00G+ZXC9yuS4IA9tqv2hZwFlkSoBtmnliw7OMSXbALA4IiABmbpiCnK2RzUaQtLevwh2O5gUdkPHVDQ0NJd4JLJcRcrghxMkSKRCIYGhrC5OQkNE2Dqqo0orYQQuu1387NWCBiQRIFyKKAgEdBnUdGU3D2369W4oYVIk7Dx4iAOHHiBD7/+c8jm80ilUpheHgYTU1N9Dhf+tKXcOjQIQiCgN27d+P++++nf38f/OAH8b3vfQ9TU/lF2ocPH8a73/1uALl/47/7u7/DDTfcgGQyiZe85CVIpVLQdR1vetObcM8991T9968GvOixNix7wVDtiw65CyIYhoGuri4kk0m0tbVB+el/AUCe34KZNaF6ZWSY6IKrJfSMBW25sM6Nbi6Olv0LRBzs8yCAwsWOpT5mxUKdNtsR4VHEvFoFw7SmGgrVK7DRC68suk7TVESrHwMxaWLJm1gpCdS0SYQ1uiFkc/9Ogp6CKc/cfRq5CFRra6vlDrGrqwupVArBYBANDQ0Ih8OunQVLwd9grsfUNM2SLkwkEujv70c0GsXhw4er3k1QjNd994+WxySyEPAoCGgyvKqEN24L0+cXogVUFEVL4en999+PH/3oR7jvvvvw9re/HaOjo3j5y1+Oj3zkI/jKV76C48ePw+v14uabb8a///u/4x3veAeOHDmCSCTi+v6tra04cuQIZFnG8PAwLrvsMlx//fXQNA1PPfUUAoEAMpkMXvziF+Paa6/FlVdeWfXPYK7wosfasOwFQ7VhaxjIVMv169dj586dEAQBR++9Bnvv/qVr8aKiSXn1DEB+ZIF0Q3g9hVMRXrW8f8JCIgEAPLJk8RrwSCKSNvtmeg5liAMg1+Fgt4YGcmKB4Far4JFnfRZkEXldF27RBSCX0mBFgl145ASBVQi4RRcIop5CdkYgCDMCgUQX6O9rJJCSvHl3iBMTE9RdMZvNIhQKUQFR7RB3Lam2CPF6vQiHw/B4PNiwYQPtJujr66OzEthugmrCigVREml0IexTEfLmogvrQ9b3nI8IQzE0TcOOHTuwd+9e3H///UilUuju7gaQqyFJJBJQFAXxeBzNzc0wDAMf/ehH8W//9m/48Y9/7HhMn292om4ymaT/xqTeAsgVk2cymUWRbnOERxhqAhcMZSJJEnRdR39/PwYHB12nWhKypklTEIRUIgPNm0tVOKUfyjFuSqR1KhrSRpYuuJos0tkLbiKBTUuokkgnQBqm1f64lGLHUsQCkG8NzYoFtlaBhV3gyUtJrULu3PPbKYulIFjTJvsAKnkm5UAeizOCwBRn5ggY6dz/sw5RIBfxQCCjlMPhMDZv3gxd1xGLxWhhIBlfret6VRekWrQr1jJq4dRN4JTLJwJC05x9EcpF0WQ6i6VuJrIAAKuDGt6w1WrGthgEA2CdVKlpGnbv3g0AuOOOO7BhwwZ4vV5cffXVuPrqq/HlL38Zr3vd6yypCyeeffZZvPOd78SZM2fw/e9/n3aXGYaBffv2obe3F+9///tx8ODBCn9LzlJk2QuGWjjRjY6OQhRF16mWxM45bYsiOG1nIwusDbSmSkgkyzcAYgsbyc+sMGDrGAIe2XVwkpsNs9N2p4JH+4RKg4kssM+JEJBFfvpgdkrk7HOFmj/sUQN76sHN2ZFgL1xUBDicVT40umCkAWNWVAAA9DQ0PY2U5uz6CeQKA9npkul0GqOjo0in0zhy5Ag0TaOL4lxshhdjSsIJt0XYKZdPTKSOHz8OXdcRDAbpZ1WOB8QND+ZmRWSNLEIBdcYlVURAy6Uk1gQ1hLT849Wi6BEoX4g4jbaORCJ49NFHcerUKYTDYdx000146KGH8MMf/hBPP/100WMePHgQx44dQ2dnJ97+9rfj2muvhcfjgSRJOHr0KKLRKG644QZ0dHSgtbW13F+x5ggQFvVQuKXKshcM1WRsbAzHjx+Hx+PBrl27XPc7fM9VOPCpJy0CAABSyQw0T254jVOdQjqlW15D0hF1lrREforCyWuhEIXSEsUEASs47EKBfT0ZnOU2iRKYHRAFwLVWgf1ZmjFOcktb2Le5zY0AcgLCabYELV400jBljUYXYGQAUZ6NLhgZCEbGKhCyem4fl+hCKaiqitWrV+PcuXO44oorkEwmMT4+jv7+fkxNTVXN5KcaLKQIIZGYUCiETZs2wTAMmuo5e/YsTNO0mEi5QcQCkIsupPXsTAulSMVCwCPnRReAxRNhcBpt/cQTT2Dz5s1YvXo1AOCNb3wjPvWpTyGRSOCSSy6hr7vkkkvQ29vreuydO3ciEAigo6MD+/fvp9vD4TBe/vKX4xe/+MWiFAwAaMSUUz1WhGAoxcegENlsFj09PZiYmMCePXsKfsGcMLOA+v/Ze/cwua76SnTt86pHVz/UekttSTa2sC3JyHq0YQYcM8YEiMfGhJgBQiDgMCFfSO5ALpjEhJDJjQ3XAZyHgz1mBg9m8DC+AZxgEsDYXwzBWDKW9bAsWZL1aL2l7lZ31+u89v3jnL3P3vvsU4/ualt21/q+/lR16pxTp1rVtVet3/qtn1KWkOOhZ/bfIJYiKm6QarUs5a2m2QzqYq6WJVQ0a6NUSxLi49FgJwj39V4Fx2zWQpnMcmiUx8BLDRkehiyY9anEyAiAeFXAEF5n4EokAgCIXwMMC/BZ2WJ65IEtmvl8HsuWLeMxw+Jsh1qt1rIs/0pRGKZbOjFNk/8eAPBSD4tkrlQq2L9/P8+AME2Tk4XAD1GI/0ZyloFS3oZJCCfqgxmD286XuRcs4EnEihUr8OSTT/LHHn30UXziE5/Axz/+cb5PqVTSfpa9+OKLuOCCC2BZFg4dOoTnn38eq1atwunTp2HbNgYGBlCtVvGjH/0In/70p6f/QmcRBLM/VXYuYk4QhpmgXC5jx44dWLx4MTZt2gTf91tKemRlBk/JXNDFQ4utljlhsW+Wm6BDb96SzJGMKGSVJXKWkSnd6aKkW/EzqGSB+RR0nI0t8CHkb/tse7qFMv1BqhIC9TYDK1Mw5EiIECaMeGKUHUSdDiIBACD5Eqhh8jIEABi1CVA7H6kLAIjvgipG1MLUCVRLMw8OU2c76GR59q163rx5M041bYbZKkl04rrFUk8QBHjmmWfQ19eHM2fOYP/+/fjC8wm5UslCb+xjKOWjVMf/eLG+pHS+KAysdVfEVVddhXe/+93YsGEDLMvClVdeyVsldXj44YexdetW/Pmf/zl++tOf4o477oBt2zAMA3fffTcWLFiA7du344Mf/CCCIEAYhrj55ptx/fXXT/t1zioItC3hXcwMXcKQAUopjh49isOHD2PNmjXo748+NFqZVgkAP/vja/Dv//LxlKmRlSWiqZVpUlF3A4k0MIjjqaXoZVaWaCHdkSFvmQ2jjcVERnl78w+xLEMjg6UhBQC0ZIHtz1QGtj0I05kJ0TkiZSSLLIj/GtMcK0lqk4Cdj9SFBvtQKzej0kQr0MnyYjQzEEnHg4ODCILgFaMwzAYJMU0TCxcu5BI9nt+e2q+Uj2ZFRK2UFkp5C/0N1L/ZVBjaIU3ValWbZPv5z3++YU6CmMFwww034IYbbgAAfOADH8AHPvCB1P5XXHEFnnnmmdT28xGRwtAlDJ1GlzBo4Hkedu3aBdM0MTw8LP3xGoYxrfIGDSnvjODPExse7ZypJQntQFQQWK1fRMExJc+ADqqiEFIKg7SW9ChuCzN+P+JCnrOSbAPLkA2GhKTVCJlcJNvZjAq2LWcmZQrV+KgDIw5MNTDcMqhpJ2ZGtwxqOi0t/sRPkwh2nsLECKp9Q03PAUw/uEmNZvY8D+Pj4zh9+jROnToF27ZRrVYxODiI3t7ejkxJfCWMt1bLHO/+RkIWom4Ii5scc7GyAETv53+3IDtEajYVhna6PiqVitQK2UWEroeh85gThKEdDwOTdy+66KKmrUfNoCs/AIDlpD9kqjVfa3IsZdRPs8A+7HRlCS8MOWnwAgrbJJJJUUXRNjO3N7oPpNUF3vVA9UZFgog06MoKBSE62hbIUKP5DrrMBVVVYIs5NVv8HTNCwI2PcRmiNgnqyDVkoz4Jak8/K6ATC7Ft2/xbteM4sG0bpmliZGQEU1NTyOfzGBwcnHYw0itJYWDnfM83d/DtpbzFOyIcy4zKc/GQqQU9DvpzFh9JrTObBkEwK2WfTpQk5jq6HobZwZwgDK0gDEMcOHAAo6Oj2LBhQ0eCYR7/5BtxzV/9NBXiJLZSFtrwKehKESIxaGfcddHOLku001LZjCyIKYnsvgixktLMg8BgGkSa3KArTzAYNEBIzIYlCDV4iXsU4vtGfSryKbD9vTqoLac6cnVByGZQz1McP4jKwKrM65hNUEp5B8aSJUtAKUW1Wk0FIzEC0WqE9SuFMBiGIZGFgmPGyoLJp7oWnOj2gh4HRdvEW1f1AlirNZuWSiX4vs/nZMzG9baKSqXS0Xk5rwoQ0vUwzAK6hAFRDXDHjh0YHBzEpk2bOiozWrYB34ts/2FIU2OtK1UPxbhUMR2TY9UNOFEQb6sQR0lnQbf4s7JEPk5pFBUHdX91/oNKDhyTIKTq/SQOWudVaBoNzfcVzIwGECJRFEy/xlUEEnhyyYF5EYjwewlcwIwimzkR8JN2yuhfWTUSo6FTpklMv1uiU1AXYnHI0fLly3kw0ujoKJ5//nm4risZKHW5Bq+UkkQYhvivzybvj1LeQhBSuHGw2fweh5scmRo3Tygf6symU1NT2LdvH0ZGRjAyMiK1cGbFfbeK6bRVdgmDDIJuSWI2MCcIQ6MPtePHj+PAgQO4/PLLeUtWpyGSBoacxkw1WfM5aRBLEeJciKJjYjIj0KmkdEjoyIGuLKG2SIotlbouCrULAmiNLACAQaKyhGxyjM6XNwlCzTHsMbGFMgippJCIKY1ZSBZ7/bRRAImZsckCT/w6aEwyOBlQkh+JX5NzGgAUz7yAyoJLGp775Ri8JAYjrVy5EmEYcgMlyzVgExJZhPUrRWH46D8e5L4e9vchqQtCKaLHNlG0TbxxebYngM1z6O3txYIFC9Df3y/FfQdBIP2u2i1bTEdh6JYk0uiWJDqPOUEYdPB9H7t370YQBBgeHm4rGY4Q0vIf9Y//4N/hLX/9b7Bi3ZzNkahVPeSnqSz0Kj6FdkoRDKwTIouF5zK6LkSywBSHVskCg44sqLCNRI2wNWULMSfejm/6gnqhmhlFkMCNjIyBoB4InQ9cVWCqQ+BFJRCVICgwvEoSHy3sw2/7DYjKLKPdhdgwjFSuwfj4OEZHR3HgwAGYpgnXdfmUyfM1wvp939oJQFagio4ZdUSYBjc5mgZBj2OhaJuSutAI7DNAjfsWu1UOHjwIAPx3yTIgGmE6Hoau6VHGXFQYCCH/BcAtiOxgOwD8NoClAB4EMB/A0wA+QCnNbvFqgjlJGM6dO4ddu3Zh5cqVWLZsWdvfaNjEylY/2JycxeOgxTkSDOMVDwPFaFu7JkegtbKEWD5o1DWgUw+yshp0bZONyAEQLfjM08AzGKhMCnjrI5G/JcgtlFG7pS0+Ht9mRED8dm+wbgdGCupTgCVIx14NaGehCtyIRCjzJST4Hgg8wBLk7dBHz6ndKC+6rPXnOg9gWRYWLFjAa/au62Lbtm04ffo0Dh48yCOsBwcH0dPTM22VQDQozhSMLDBEvgU78irEZEFUF3odE4Um6oKIrIVd7VZhZOvs2bPYv3+/FDLV19eX+hxhbaCtolqtdhUGFWRuDZ8ihCwH8AcALqeUVgkh3wbwnwC8A8CXKaUPEkK+CuAjAP5+us8zpwgDpRQHDx7EyZMn8brXvW7adT+WxdCK1Oj7EVHQpTnqIpqlWQ9KKUI9TjI8ZhCCnBVnPQSJhC9NbjQNLYEIabRgZxkgVbKg63zQkQUgapuU45+F8xhEO8OBHRsI5QyH+qAkWbCpKdeOUz4FHQRvAjVyXF0ggRd5EtRzGA3+z4MAJAgA4cOehD4obFldaFQSmSV0Wup3HAeO4+CSSy6B4zjcQHno0CEpwnpwcLAtA3GnrlMlC1GgmaWUJJKZEaU4bEtHmLPQ6pcGHdkaHx/HyZMnsXfvXjiOI80LCYKgLZWlWq12FQYFc1FhQLSeFwghHoAigOMA/gOA98WP3w/gz9AlDI1BCEGtVsOOHTvQ19eH4eHhGcmerYY3TUxMYOfOnbj311bgo98/xreX8hamaj7OVTz0x8qCbky1SB50aGRybAZGJLJQtA3tH1zOMqTkRduQkxjZNhFq94I8fTK75ZUdJz7eSB2RI5rr0bECiZBKEOK/MYx6WWqxZBkMKQhtlVSJhuYQCAKpToDaBalMUTzyNCoXbNS+jleKN0A8Z6FQQKFQSEVYi5MlWQdGI1NgJ0yPKllgJQhWlmBlMGZyLNrRSPd5BbtldWEm1+o4DhYtWoRFixYBiEZIM//D1NQUarUajh49ivnz57ek1nQqHfPVhlehh2EBIWSrcP9eSum9AEApPUoIuRPAYQBVAD9EVIIYp5SyD54RAMtncgFz4l129uxZ7Ny5E5deeimfCjgTNCMMlFIcOXIER48exRVXXIFSqYSccxJ1NzpmsuKhtyiXHoIwhBl/+KjtkxW3OTmpegE/zjAIQiW4KWcZLX17ykp5FD0NlCJFEhgkf4IhmxjVxxPFISINWW2V4m0DFCEIzFBYkIWBUGqmQookWCKBkDsmxO26c0TR0PKfDGGljCDg+1KzwPdP4WVQF2YLWSQkK8J6dHQUR48ebWgKnCmxyVIWgpCilLNQdBKjoxOX+o/wlAAAIABJREFU2gxCMK9gt+xdYOhUR0c+n8fSpUuxdOlSUErx1FNPwbIaZ0B00RgE5NWoMJyhlG7SPUAImQfgRgAXAhgH8H8AvK3TFzAnCENPTw82b94843YnBtM0EYbqUhjBdV3s2rULuVwuNf5al+aoDorSge0jljCYstAjKBNi14BYSrDib1Q1P+SkQWyRtE3COyeCEGA+xEZJj9oWxyY1QzX+WeQ0Ugqk0BHhmEJQU7yLRBbUgVBI1AX4ruxTYNuQ7pjINDLWp0CtJOmR1CZB7VwS2hSXMqTnjxUFCeUxoNArbSoc+DmqF71B+7ydxvkyWVI0BY6OjuLgwYMghPAFcSaLsI4sMDCyUIh/HMtA3jRgmwaKduRnWDP48hAGEYQQGIaB5cuX83bXcrmM8fFx7N+/H5VKhQ8c6+npQW9vLz+uCwFzzMMA4C0AXqSUngYAQsg/APj3AAYIIVasMgwBODqTJ+l8rul5iEKh0DGyAEQfgDqFYWxsDFu2bMGyZctw+eWXS2ThO78ty8+MBIgtkqWcJfkWWkHZnV5/fy7+oGw0N4L9iHBMojU2qmTBUe+bSekifby8n3rbpr6+XTIQVYYkylmC70okIUs94PfZ8a1EQbPnrJdT5+IEJEh7F2iTbomZTFZthPOlzMFMgRdffDE2bdqEK664Ar29vTh16hTGx8exa9cuHDp0CBMTEy3/LrLIQsGJ/qbYULaCoDDYpoFCxvu8FcxWNLQIptYMDQ1h3bp1GB4exgUXXADP83D77bdjw4YNmJiYwIMPPoiTJ08CAPbs2YP169fzn76+PnzlK1/B6OgorrvuOlxyySW47rrrMDY2lvm8ExMTGBoawu///u+nHrvhhhvO25HWDJGH4dX10wSHAbyeEFIk0R/ltQCeA/AYgHfH+3wQwPdm8nudE4Sh01BLEpRS7N+/H3v37sWGDRuwePFi7XG9eYt/kI1XPBQdk9dXAfDgInVfNginGbwgOV5MORMX/5xppHIXROTjmq4OuiRFndlRJAsqwcgiCwbRkwUVJHCjeeHSNs0C3GC8tGqGTBZ3OYOBqOeIF3qjrpASEYwU1Ct8E3Vr0WnLk8k2Lzp3Ye+/Ys+ePTh16hQ8TyBAs7C4dxqdUi1YhPVrX/ta9PX1YfXq1XAcByMjI9iyZQt27NiBkZERlMtl7evIIgulvM2VBRE9joV83CVRtM1pqQtA51tAWwHLy1ixYgVuv/12PPHEE8jn89i3bx/e+973YvPmzVi1ahW2bduGbdu24emnn0axWMRNN92EO+64A9deey1eeOEFXHvttbjjjjsyn+ezn/0srr766tT2f/iHf3jFdGSYhLyqfhqBUvoLAA8B+CWilkoDwL0APg3gE4SQfYhaK782k9/pnChJdBoiYWBmyoGBAWzevLmlDxBd7gIjDcyzkGV4FIlDPjYuit4E0WvAPA1eEMI22TyJpENCnSfB3pRiR0VIaeZIafXyVFXBatJiGcVGJ0Y0lvpoEQCUghICI0h7FQDouxcYAXAraa+BsL/WyCjuK0Y/a+6L5+NKRGUcyEWGOa4gCNdOPY26EN9etGiRFJDU29sL13U7+g12tsKgZiPpsVAooFQq8Zp+pVLhEdashXDevHn45ONnU8eLZEH0AjlWFP1cylvIW1FnUFRuMzDYpndhNtEusQuCAIODg7jttttw2223oV6vS4OrHn30UbzmNa/BypUr8b3vfQ+PP/44AOCDH/wgrrnmGnzhC19InfPpp5/GyZMn8ba3vQ1btyYeu6mpKXzpS1/Cvffei5tvvnl6L/AlQqQwzKmSBCilnwPwOWXzAQDDnXqOOUEYOv2hxgjDqVOn8MILL7Rspvyf730dfutbz/L7XFlQyIHOs9AIojehVfCo6AZW4qwYaZ3SoG5rRhbkMddJiJQhNFVKZEHwKhC/niIEunHTTBkwvKq0v0Q8QjXiWZ4NwYmBL3sdqFsFiQdOMQVBNTSG5UkQJRAsLE+AOMmcBup7WHr8l5h3+bXR0/g+Tp48ibNnz+Lpp5+Gbdu8u6BUKk37vTxbZY5OQxdh3dPTg56eHgwNDYFSisnJSfzu9w+njlWVhSCksYJnccJgGzFZMAgGCzaKtonX9M1sUmwn0S6xUydVqlMuH3zwQbz3ve8FAJw8eZIP1FuyZAkvYYgIwxCf/OQn8cADD+DHP/6x9NhnP/tZfPKTn3xltHCSxIvVRecwJwhDp0EIwdGjR2GaZttmStY+WXV9aSR1b87CZD27bq5TFnSo+yFXGUzBWyAqD43mSbB8BQPpDy21TJA1eVIlC2q2go4sAHE6I0tTDFwpaZGBGRpJ6PPSBPFdUNPit/njCpJuilhlaGO+g3g91ItNlcrxYbUMYkfvBVqv8e2JuiAQFUFpELdbloXBwUGMjo5i3bp1vOXu8OHDPN+AEYh2B6S9EoxxzRZMQgh+5x8PSQRbne7KfEDMt8CyFmyDcN9Cb86CQdrLXXgp0Mk5Eq7r4uGHH8btt9+eeowQov0933333XjHO96BoSF5FPu2bduwf/9+fPnLX+bplecz5qLC8FKgSxjaRLlcxqFDh1AqlXDllVdO+0NYzV2o+yF6c4lnAWiewwAkSoFICHQfgiKREOdJmIRoVYYQlJMGXdYCoJk82cTPwI5JIp+Tx7TTJGkIcSgU734AIo+CKaoGvuRtSA2Z8ipS6BJxq6BxAiPxM4yQ7LkziAWtlbnqwTwJ0uO+C+q7IEKnBvU9UN+D4eSl8oTz9MNwN94Q7SOoAWrLXblcxujoKM83aDYgij9vxkK8+K1/gpM//H8yj3s5kPU3JU6bZFBnrzCywJQFlurIyIIdpzoCOO/UBaB9I2WjWOgf/OAHkqdq8eLFOH78OJYuXYrjx4/zHAgRP//5z/HEE0/g7rvvxtTUFFzXRalUwsqVK7F161asWrUKvu/j1KlTuOaaa3iJ4/xD87p/F+2jSxjawLFjx3Dw4EEujU6HLNzz62vwyX/ag6lYTSg0cWez9slm5EEkBM0Q1XCb75tlPNQaHTUlCJLxeBT5rCcLxK/LIQ+izM8IBFMR3HRLJZBumZQfU7oifNnbwB8PPMDKcbLAyw7s+fw0QUBMBnTXlFIX4rIE1Z0H+kVTzDdYsWIFwjDExMQERkdHuf+hnZkFi9/6J9K/5xtxYNARBSCbLDBlQZofYZuwYsJQtE2UHBO9mrC0lxudVBi+9a1v8XIEEHU33H///bj11ltx//3348Ybb0wd881vfpPf/vrXv46tW7dyc+THPvYxAMDBgwdx/fXXn8dkoaswzBbOv7+YWcBMpVg2qCoMQwwPD2NsbKxhS1IrYB9uIhFoRg7EUkQzZUHshGDbG/kVGBplKbDHxOCmVpIe1ecV50mwTAVK0gSGLfiUGOkAJhWMJFBNPoZQimgLfl27+DPQeg2k0JOpLkT/RiSCWLakKATnzsLo6ZOOcX7xENyr3o1WIQ49AqL36djYGM6cOYP9+/fz8sbg4GBLMxouuCkywB35zqdbvobZxru/sT31t2AapCFZYOOrS3mLqwtA9DcTdQEZ6HUsHN/1FCZjA2W7JZ5OzrxQz9uuwqAjDOVyGT/60Y9wzz338G233norbr75Znzta1/DypUr8e1vfxsAsHXrVnz1q1/FfffdN/MXcL6g62GYFcwJwjATsHjnFStWYPny5SCEtBwN3Sp68xYma748R6JFw2M7yoI8T0IoSxiJfMdmSABRm6dJCLJO3yy8SUdQRP+CGMAEyIoAyeiOIDSMCUST2Qw6csDmPMT/d1EUtKAq1CYBO5kfQd0aSL6HqwvUc0FyBYm00Go5Gi4Vk4HQrUVDp/LFhCD4wgAqTQYDFdop7Z99C7gy/c2vFViWhYULF2LhwoXRyxH8D2fPnoXv+1i4cGHT+Q4X3PQF2D39OPDA707rOjqBd/6PbbA0b7wBISG1GVmwDYN3RFimAZMgbis24ZgEw8PDqRJPX18fJxCzHWGtQ6cUhp6eHpw9K3eRzJ8/H48++mhq302bNmnJwoc+9CF86EMfSm1ftWoVdu7cmdp+PqGrMMwO5gxhYPHDrYJSisOHD+PYsWM83pmhUdJjK/ir61+Lz/5wnxT53GjEtZjmWLRNVDw9WWm1W4K3UTbxRzgm0Vgf0y2VzRIexeMYGpIFvy4YHhOzIdGoC0TogCCBK7VXSvvxVsckwrkVhJPjILm8cH8MRqGHmxqZetDSeQrRBztTJCKVIU5/FElIhzoaRP/Djh07sHTpUlSrVezduxfX/9k/w+npg1ueyDz+ot/8KgC8ZMThhq89A8OwgZ3btI/rJrqqZCF6PCELBduEbRD0xqZH04gUtyUFANCXeMbGxppGWJ8vhKE72rqLlxJzhjC0A9d1sXPnTuTz+VS8M5Cd9NguWPuk2C3RiuFRLUeIQUtZZQn2bb8ZoWAfqjqYJCnviEqEipQZUtnRUBUBdl8sPQDJwk9DHsUMpIOXxNvErQgdE3oPg5TDEKsKrPOBVidBnHziWYihKzswhFPjMPI9kbrAtjGCoMldkM8rdktEt/u3/n8gC/SDqWaCnp4eLFiwABdccAGAfwYAThocoTxi9/Tz206xH5d+9FsAAKtQws67/mPHr+v6e5+GobzpLKHTpzdvCcpbY7JQcMw4lCkKZBLNjiXHiksS+jeuWOJhEdbj4+MYGxtLRVjncrlZIQztEpFqtTrtqbuvdnQFhs6jSxgUjI6OYvfu3bj44oszExs7UZL4r2+9GJ/94T5+v6AhD8wQGVKKom2i5utVjYoXtBxtK6oQQUglAsHKEuI8CYp0pwNDK+bHlskC1GAmcfKkpsVS7J5opCiI2xQvAycJnjB7AhBKEHFpwpO3B5PjqS4HDi0piI4Pq2UYTGWI96OVdC7DbOPC9/2ddN/p6YNVKMGvTjU9du0f/iMAwM5H1/zM5vaf/+13R2FApjbvO0Epb0nvH7UEAejJAgs8zQuEIWcZcKwodXSBHFWQCdM0MX/+fJ6x4nkexsbGcOrUKYyNjcH3fRw6dAiDg4MzysgQMR2FQdft0IW+NbyLmWHOEIZmJQkW7zw6OooNGzY0rPF2gjAEQcA/6KYU/0LBMVHVTKjMW1EaIiMSjcoTOqiJjo2gC2di0GYvaJIfG5IF3UwHRgKYPG8YchlCQy744m9YfF/DFcoUoTyCmnp1ELvxikHrNakMQWsVkLws+/IF30/KC2rJIZwcTxMEUamIjw0rkxJpgO/iiiP/imDNmobX2Q7Urh4dQbAK7Uf+br7tJ/y2HS/kljAcxIqJsCkoCFYTcluMg5YYSnk7URgEVSF6LCELRdtEGFIe9xzEt6NZJwYck6AQxYi2/TqBKMKajaWenJzEwYMH4TgOz8goFotSRsZ0CEQQBG0pDI26JOYyCLoKw2xgzhCGRqjVati+fTvmzZuHTZs2Nf2DnSlhKJfL2L59O4AodU1ncCw4JoJYWciCqCw065AQwcyMKrLaKLMeZ2WJVMqjhmw0JQtA1DYplh58UWWo804KiVxo9uXb2EwItwwIY6+5ogCkui64N4GpC0xtcBPPAqCoBSykqYG6wKCSA1FRmE11QdcGrCMITjEpR9g9/ZxUiPsydaFTYOWIUuxRYGRhoBiVjpqRhVLOQs4yJLJg8xZKAyXHimaaGAT9dmf8IWEYwnEcKSODRVjv27cPtVoNpVKJEwg1gbHReTvVVjnX0aK1qos2MOcJQ7vxzkBU65yu6ZFlOaxduxZv6OvDXz95hKsJjfwLAaUoNegbn048NBAPaGFqv0AkxNbJqIsifaxtpFtWm5UgxIU/ul+TTI0JKWClB6LvmKBhaigUDLPhuGqp9GA52S2aiDskxIXdrSUhTdzwqJCBapkbIDmxEAiC5IsQTY6eC1otg/T0SdvNR/4WwTvS0wJngtUfvj+1zc5HZMCrpUsSjCjY+Ty8Wi31OD+HZsqqpRndrqoLdk5WEwCgNy+bSNUSBJAmCwAkssCUhZxpgpDovVywDQDTNyuLUL0GWRHWo6OjeO655+D7Pg/ZGhgYyAzZCoJAMlc2Q5cwZIB0FYbZwJwlDGEYYs+ePahUKm3HOxuGMa0hMbt374bv+xgeHpY+FHT+hXy8iochlSZPMjByIJIEcVR1TviW4sS1YlFVaNbZoCsxJMfqtjVRFSDEOrPWSL8mPCYaGDPaKxVyAUUJklotQz/qmPATMyPExMXyBC87iDHOgFA+cPXEgO9XFZIedeqCQBD4bZb+mOWBgGyEJA9/GfSG/6Ldrx2ICkMWQbDzpYZeBjufl4gBDdv7G7BzJicMZvy+FcmC2imkIwqATBaKdqTE5ePI57ygLthm/GMQ9FgGeozOkAWguTmREIK+vj709fVh1apVCIIA586d422uAHgHhhiy1VUYOgMC0vUwzALmDGEQvwmzksDSpUtx6aWXznrG/tTUFHbs2IGhoSEMDQ01fL68ZaLmy+UOseygGh/bMTyKCoI4tZJVdS0jO07VFJIbxQ4Jk6T7nVPGRiixzoEr/SmrpYeEFNSSOGfVBAlEUyTZvqGfjnIWn5MhowQRujXJyMgUBh7AVG8l6TEiAyIx0W2jQQAad1GIJQvWshnd6VzOB6AvSTDiwO/H3RFWoQSn2MMVhawShEgenFz0exEVBKYwGE1KXWIXhBOHk/XHEyRNg0jjqVWyAICPbc9bkbmRJZlGikNEfCMy3bnfabvdDKZp8hAtQB+yNW/ePFQqFfT19TU5W4JuW2U2ugpD5zFnCAMDKwmsWbMG/f39zQ+YIY4ePYpDhw5h3bp16O3tTT3+B6+/AP/tl8ckk2PeMhFQpMoAIjlolSRkwTHlMgMrJYikIqRAvoGTvRWvQip5MRXNLMxtUNUEIFr8xRkRDcoIoKG0L09YZEpBrCqwxZ91OzCk/AVuLaViAEi6KXwPgBwFHT2nI6sLXrQtswQi+hgEdSFk5OWh/xfk3f939utuEVd8/DupbVY+2+jIiAIjBl7GcDRGFqTzNihHmJbBF341dKwVVQGQW4uLdhIDHdJouJpBogRSg0RdPnYHyQLQvjlRhRqyVa/XMTY2hhMnTmBiYgI9PT28hbOnpyfzS0alUpEyYrpI0PUwdB5zhjD4vo8dO6JMerUkMFvPt3v3blBKW3o+VpYQExjZh6KuLCGTh8alCCApGTTqfhChKzvwx5RAJ4MG+khmFRqVIHlMQxYQdzlwxSHD18DmPXj1xEOgmhXr2fX3UM1ckJId81JIE+CBCAsFS4MUyUA4OZZKhOSBT4JZNpgchxF3X9BYUQiqFZiCQS50o9cWfvsLMG6efmQzK6GZ8UjuwK2m9rHja/FqFe05evoSMmVp3iC67oe8kMyYi9/jrAwhTlUtKb4FkSz0F5XBUhqyULRN2CbhKoNJSGJ0zJuSmbYTaLd00Ay5XA5LlizB2NgYli9fDsuyeP5DuVxGKY6wHhwcRF5QfLo5DNno8oXOY84QhuPHj2P+/PlYvnz5rD/X5OQkduzYIcVJN4LaHsl8CWLZgHU+sA9HERUvlEhDI/gh5aTBIARhvJAY0Cc/igZMU/A1UER/kJbORNZqVHMMEnhyB4T6OA15QiPbn9/2qlIHRFiekEZME8VcJpYgxH95tDNb7Nn5Jsdlv4HvAor/gJOBJsFMHBlhTqEXLWreVBlmXihhhCFC10cnY4JMpyB1QTg9ifrVM6915U0sS8jlCPlqcxrFgZEEXo4wDSWkSVAYMsgC28bIgm1EZCEXZy5YJsGWJ3+OzZunERjRALOZ9GhZForFIorFIpYvXw5KKaampjA2NoY9e/agXq/j5MmTOHv2LOr1ekphWLVqFXp7e2GaJizLwtatUe7F3/zN3+Dv/u7vYJomfu3Xfg1f/OIXU8+fdWyrx58v6EZDzw7mDGFYsWIFfL9z3zIIIakPDUopjh49isOHD2eWIHR4/7rF+OaOk9rHGs2JENsnVWXB9WVDmqgs2Bm3dbCEccCpx1ohC01KCryrgYapMdK6Tgdp9LTgUZBaJQVQz+N+ALagS1HO4pwH6bjGyY7ijAnt8wqmSv5UE+dg9kQf7qzc4FeqEjlgpAFI1AUG9/4/h/PBP818zkb44DdOTCt7wdF1PzQhpypZYOjNpzsiGMRuB6AxWWDmRgCSd8E2DNgmgWVG72vHJOjXlEs6gTAMZ0Wl1BERQgh6e3vR29vLI6y3b9+OJ554Ai+++CKuueYaXH311XjLW96Ca665BgDw2GOPYcGCBfwcjz32GL73ve/h2WefRS6Xw6lTpzKvQT223ePPF3T5QucxZwhDp8GyGNgft+/7eO6550AImXHJQ5eTEGoyGRoZHlk5ghECUVkQlQvtsRkzJABAStUVOUkYSMQASKsFWWQBgDQzgu/LPjh9Lx0bLZKFuAOC1hOZnZcR3Fpq1oOqKrB/2fFqsiP3NjTwT4QaEyPPclBHW/PrEMiBQhRC14eZd0CV9t3afX+K/C1/nnkdzcAIAlGmcOraIkWyYAsLr6gk2Bqzo6OUHgBIxsXoMdncyMhCvzRcyuJ/B83IAlMXclbkzWHlCF+n8HQAL+csCcMwsH79eqxfvx4///nP8eijj+KnP/0pfvzjH2PdunXaY/7+7/8et956K8+DaDcdcqbHvxzoDqvsPObM77TTnRBieNPk5CSeeuopzJ8/H+vWrZsWWXj/usW8lRKIPkBzlgFP07rGyENR+PAMpzmwiLBar5l80AIyFzAJ4rQ8glCkEvHUSKIJYmqbLABRtoLvyvsyVcAXTYQCWdB8yw+VgUpsxDTf3/dko2FdrudrlQMlNjqcHI+vRc5TEK85qFY4WRDLDaFShvAmK9I+ABAGAerjk9Ft10fYwemoQEQGGCHIFQSfQcGWHmsEu8Vv7ypZKOVtlHKWZHAsCRHP7D4A/j4vxD8iWRD/BmzDgGkgfg9HqY49Rmd/ZyJmizC0c15KKSilKJVKePvb344777yTl0Df+ta3YuPGjbj33nsBAHv37sUTTzyBq666Cr/yK7+CLVu2aM+pO7ad488XkHjuzavp53xAV2GYJhhhOHLkCEZGRlITLacLXf5CzsqOghYDm0STo5jKqDM8thIP3Sj5MWvaY4ooeDXlcXWWhGiE9CQdUWybZODzH8JQDj9i6oAm+4D6bqpzIXUc+zeVwSC3WcrXIhOEsFbhJsagni6RZJUbAtdD4HqwCrlUGUJ3fPWe2zD1rj/EvHnzWiKnG279MexcVPbw6vL/j5OzYOcsbQeESAiYAtEse8FRyEFv3kIhDhxjioMjEGM1e6EgHN8bH8ei0Nn7XGyjtE0Cx2RkISK1BgEKlgHXDzo2+VPFTLsksjAdIqIuJj/96U+xfPlynDp1Ctdddx0uvfRS+L6P0dFRPPnkk9iyZQtuvvlmHDhwoKVjr7766paPP5/Q7ZLoPLqEYQbYvXt35kTL6SBnGagLOQtquWHSDdDrpKOgW4VYlsiKh27WRWGGnuxJUGY1iGibLGTsqzs3rVdBTDl5UfQihLUyiGEm3/AlM6SiKCjPzYmFkrmQGkolkIhQKW8A0QIfej4MWwg7CkL45RoM25IIhFh6ENWE+tgk7J6CdDwA9Dz0ZWzb/C4QQnh/f29vb9PFxs45yBVsThCcWF2wcxZvj/S9UEsWottC6YEpFMIizxb8Rt4bRhKS7AUDBcfk93uF52PnUclC0Ta5qsbIQt4k0ZApk8CqT2Dbc/swMDDAv4l3cnHrdJeEiFavM4sMMWP3okWLcNNNN+Gpp57C0NAQ3vWud/GSqWEYOHPmDG/rbHTs1Vdf3fLx5xPOYy7zisWcKUl0EhMTEzh79iwGBgawdu3ajn1wXL96Pi9FiB+4IY2mSookQeqqsA3kYyMaKx1kfbFij0c/SfukZRBYBuH97AD41D+LAAZoRBaA9BwHTfmhYQkCyCQLxK9nkgVar8T/Rgt+WC1L7ZKqKqCDqiS0A1qvpX0Jynn8SjWlLgQ1VyIHgevxckPgJsfXxyb5bXH/2vhkilwEro/V//og1q1bh2KxiGPHjmHr1q3Yvn07RkZGUKlUQCnF6z/3uLa8YMfKgg6WbTR8HNCbIQuaTgimLpRyFnrjHxGlvCUd1yOQ5JwV5SmIZIF1A4WUxuTAgGMkHREGAfLwUTPyuOiiixCGIer1OrZs2YLdu3fj5MmTcN0GWR4tYrZKEu3Add3UjIpyuYzJyUl++4c//CHWrl2Ld77znXjssccAROUF13VTxsasYwG0dPz5BIJocXs1/ZwPmDMKQye+XVBKceTIERw9ehSLFi3CvHnzOnBl2fCCELYpv1W8kKKkfDDXvJATBhGisbFVw6N6rJEx2S9FAADAd+U8hlCTz5AiFw2UBGZsNMyGHQmAUDoQEhJTKY2NjmPJjkIGA4C0iiEgWsR9EFZG0pgYmSKg3pauQVAXauOTcHqL2v11xzuOg8WLF2Px4sWglKJarWJ0dJQPQOL75Sy4mrKDLnRJRE9fsiA1mzIJRHMgRLNjwZYVB0djbgSAvphIGAaRlDUdWWBtlFEHT9zui0hlYKUINtvBtm2Mj49j3bp1fLbD0aNHEYYhj2YeGBhom/SfD4RBl/J48uRJ3HTTTQAiI/b73vc+vO1tb4Pruvjwhz+MtWvXwnEc3H///SCE4NixY7jlllvwyCOPZB4LAB/+8Ie1x5/PON+v75WIOUMYZgrP87Bz5044joPh4WEcOHBgxiOudWB+hXocD81aJ4u2gYoXKvsmH1itkAAVbOQ38yrwvIWsPzSBJFBiJGQg9IF40ZO2p45vVIIQlAS3mgpH4rerZcAw5G26/AO2wAsEIixPRMmPymAobmSMyxaSN8E0k+wGTXATPzcLWPJ8wAOIafAFPnA9hJ4Pu6cgKwrjk7CKeel4fo4YgeeDBiG8cg2Wpmvi3J2fQP8ffSn6HRLC+/eHhoaiAWnf/1e+r5Oz4BQsePX4vVWiESOvAAAgAElEQVQQSw3JbdLCe6nITIlSOULxI9iq2dFKtej2KYFNapKpGk6WM83YtxDFmFsG4iFTUfuv6VUQEKE0FYYghMAwDPT396O/vx8XXnghfN/HuXPnMDo6igMHDvBoZlbaabbYnC+EQQ1tuuiii/Dss8+m9nUcBw888EBq+7Jly/DII480PLbR8ectSNfDMBvoEoYWcO7cOezcuRMXXXQRli6NRlLPZGJlI1y1wMAvzoScODBM1gP05uSZElltlaJZkSkLOrVB3ZdB8jeIUyENMz3jQGd+bFB+AJqQBSVPQTslUiALYa0cxS4L26mGyLVSrtDBnziXSl408w5f1EPPR1j2pSwFZmDMQpZ3IWCdFDE5UI+p11w4fUUEri+pDWN/+QeY98d/nXqeX/nCz2Dn4wTRWvI7YT6ELLOjo7RQ+l4gqQtF7Tj29DbmVdBlL5SU0oT4Pm5EFhwrKqcxslCIHzMIkCMhXKK00GYs7JZlYf78+XxCLYtmPnr0KCYnJ1EoFDiBKBQKKQIxG4ShXYNmd/BUY3T5QufRJQwNQCnFoUOHcOLECVx55ZWS/Ce2VXbquVi5I798DR8y5YWUGx0ZRKLAFn9xIJQOYilCND/qYBkEpMHwI3HEtLxd8DiI6oO4T7tkAQDCQJuYqO2IqFf5oCfxeL6fMl9CVRVotRyZJ5XrFFshvcmKRBr4PsJ9d6LcWFEQyIGpmCIBwI2fI6uMASQJkABw9i9+H/Nv+9vMfe28qf3W3MinwEiCZZsSSWCqghjnzNSErGAmgEVAW7xLwiBR+YFxVpFEiGSBhZI5VqIs2PHIdZMQ5C0Cm8Qm2xYJgwoWzbxkyRJQSlGpVDA2NsZLO729vZxAOI7TUl5Cu2iXhHQJQzaipMeX+ypefZgzhKHdehYrQeRyOe4KFtFJwuD7Pnbt2gXTNDE8PIxf/OIXyA+tTV9TQFFSvsm5Qcg/gEXywJSDLGVBtDxI7ZbxbWqYCWmgNDW/AQAnBrqBUNquiemQBcTKAlMZNCOnw2qZew10x/NtasskIwlKeyTPUYjNiyyquVHLoztZhpXPSQSB3ZbaKaWshZgUlmswhP/XRkSkPjYlqRkAuNJ15vO/hwWfu5tvVxUEJ6PsoHY++F72+1rNVGi2X8Exk3ZKaRS7KUX3cq+DafD3oEgW8pYBy0xaJ5l/wTaixYH49ZS6ACQliXbA/A89PT28tMP8Dzt37kQQBFyRGBwc7BhxaJeETE1NdSdVNkDXw9B5zBnCACQ1+2YYHx/Hrl278JrXvAZLlizR7mOaJuqaXvt2weZOrFy5MnPOBTM6ii2XtuabSLyup45tVVlQIXcr6EZWuymVIdpX7ZDwIbZtqI9LZCFr/HTcJgmwMoURH5sOYKK1crolknks4n1Yi2W0jxwPHdTrUhlCBFu83YlyZm4C28ev1PSKgkgOhONVg2R9fEprgHQnK7B7lEyIIAQNApy67Xew6C/+G/7Dl34OILvswNQDHTlgjzFVgZUWJmt6wsQW+6Jj8o4HlSSwf3tsUzLyFu2oE8I0CCcLuThXQSULnCiQiCywNkrDr8OoTQD5tAmZUjrj0oHqfwiCAE899RTGx8dx8OBBPrp63rx56Ovrm/ZC1S5hqFQqXcKQga7CMDuYU4ShGSilOHjwIE6ePJkqQagwTXPGHgY2+loX+sTMjnVhochZBp8TIQY26WZD6MhDI7DMJ233g4jAjQiABkScG5GhPjQiC2K2QnS/QWdEGEpeBW27pJifYMnfypupCuxfvtBPVNLf7OPFPohJizuRDI1ix9XHp/jiHrgCaVDmR4Sery1ziMfTIOQ+B3ciUjTU9yANQpz8zEeAhbfwbXbOQi6fZC+IZQixC0KEzqcghjCJhkZRTdChlLP4+5KRBdbpw9ommdrQiCxEo6sZaYgCoAilILVJ1DRkAZgdrwEbzHTJJZcAiNobR0dHcezYMTz//PMoFosN/Q9ZaPdaq9Vqd7R1A3T5QufRJQwxXNfFjh07UCwWtSUIFYZhTLskEQQBdu/ejSAItHMnTNPExiUFPH2iyokDMzqW3QA98YetZQJ+AISgMDR/HrpyRFYpgoEaVsrkyBd5NkbatBLSoGudREwMhMWsoaoAaOdAMLDZD1KZwnNTZQqps6JWlmZIsO4KACl/gpqbkCoJiB0QSEoNXrnKQ5XUfaL90tuy0h6ZomD35Ju2UzKi5FWqMPM5ri4wfGDZf+Z/2KKCwIiCnTN5p4QIkST05q2UoqAzNupKFIOliAw5ZvpvSA10yitlCiBNFhyDgCIqszGyYJCIEBv1Mgy3DOT0EzZfim4Gx3Ek/wNrbd2/fz+q1WrK/5CFrsLQSZDutMpZQJcwABgbG8Nzzz2HSy65pOWhKtP1MJTLZWzfvh1DQ0MYGhrSfvtgZISRBEDukmCgNCINAMA+d0NKG/6heKFMGrQQSxGaiZHqPiIkYhAGgGFGqoVghGxEFsJqWRqMFOq8CMx7IJYekPYoqLcBpMhCO/BrdU5Kglp0DYFixvRrLgxhoWwn7VEEa6cEIn+EXSxIj9MwTBGJ0PNT27KyExrNgegVShE6Y2NRk+yYpS4AQL+QsQDEbZCWYHZ05GmUjESIZMESwsZMg8BGGIV81SZR7V2W+dwvdfujrrV1cnISY2Nj3P8wMDCAwcHBVP5Du9eqa6vsIgbpJj3OBuYUYVA9DJRSvPjiizh9+jQ2bNiAQqHQ4GgZ0yEMJ06cwIEDB7B27Vr09fVl7sdaNq9YXMT2k5XU40FIU9HQFIkEpzc/JvuKyoIwfiJZ7MX2SRryZEepvCDuI5Qi1BwGtcTRUFkQ2yUzFvqssdO6jghmhtR1WIS+B8OyU6WH5Pnl+yoxiLb5CDyfdzkEGnVBOqeSr8BIhORPiLsrkmPicsdkOVYT5PdcfWwSTp+8aDg5E66gIIh5CyJBLQnhSTpFYTrI8iowiGZHXSulShaA6F+TGx0jDwMJQxC3jFqxcdpgpyOh24Xof1i1ahWCIMD4+DjPfzBNk6sPvu+3rTCcz9HMXbz6MKcIgwhWgiiVSti8eXPb30LaIQxhGOL5559HvV7H5s2bYdtpN7d6blabFudLeEF6xLXqX9BNtwRkZaFt8yObCSG2S7LHdDkMum/xvmIQ9V3Zg5BBFmi9JqQtxuRCSX7UdkTwDghhtkOtAsOyeYukN1WWvuWHrg/DsThZ8Gv1qPMhPkejLolAOEeIKLhJTHt0a5UoeEkgB/XxZE6ESDbq45Mw84m3gCsNE+WoZKGoC/XxSX7uWy7+fQBJloKrlB4KGm8CA1MWmKrAFIWqF6RCmIBIVSgpWQtseBojC+z9mbOMlNkRSForAT1ZsI0o8pm1UVoGgeHVQEIfxKsDdm/m6wFmT2GY7lAr0zSl/AfXdTE2NoZjx45hbGwMhmEgl8th3rx5KBaLDclOtySRDUIpyCwNHpvLmJOEYXR0FLt3726rBKGiVdNjpVLB9u3bsWTJElx22WUtfdtR/RG6QT5Z+QvRHIkkvVG8rYUQzCSpAVmlCHG/rIwFNYdBzXRQOyEyUht5UFMQyJMpxf11HREaIsdICCMLrKSggpkJ+f3JshzKFCsKIkHwyzVYPXnJxxBU/BRB4NkMYl6DUG6gQaD4HYTfhSaPQVQx3Ikq7J60gbFvIDJM1us+igUlVTEuI4jpi6V8mswWbJOTiYKmHJGVvVAQMhZUs6MZEwWmNrRCFnKWEbX60hBGZQzVkr6DScRsBSx1SrUQo72PHz+OcrkMADhw4AAqlQp6e3v5cDHV/1Aul7umx0bISpztYtqYc4Rh//79OHv2LDZu3Ih8Pt/8gAy0ojCcOnUKL7zwAtasWYOBgYGWzy2mSL52fh57ziYLJDM6immMnDyg+ZAStq+F9B8TNe2EDBiWTAh0QU7xProcBkBjdNSUGagSqsRvK0OlmHdAnCQpnU+cGxGbHXneQvy7ZAu6mHngxxkIqnrg1xQjpPC4l3FMFgKNTyEU8xqUxyOPQxWGY6WIQn18Ck5f8q0yCm8KEAYhPrbm/wJb7tVWylzOksoO4lhp1adQVVot1RHUQNqzULRNri5YSimimGqlNPl717EIDBDuxdGRBW50DDwQrxq/5xrPFmGYDcIwW6pFGIYoFApYvnw5hoaGQCnl+Q+7du2C7/sYGBhAqVRCsVjMVBiCIMCmTZuwfPly/NM//RPe//73Y+vWrbBtG8PDw7jnnnu0Kufhw4dxyy234MiRIyCE4JFHHsGqVavwpje9iQ+lOnXqFIaHh/Hd736346+/08iMqH8VgxAyAOA+AGsRVao/DGAPgP8NYBWAgwBuppSOTef8c4ow7NmzB5RSbNq0qSO92VmEIQxDvPDCC5iamsLmzZsbOqN1UNULtsj7IUUQJkZHVoIQWygtMyEPTqOyg6a8wBEv9Fntk+J+un1IIOczUN9LEQ61E6IRWWh6O27HTDIbKpxghF4yHIpfdqwucEVAKEEA0bd+sVThTkTlBN3Cz8DaLnVpj9FzRK+vPj4JK97GiIxfrqaODTwffs3lXROhWIIYK8PUKAEishIcxbLDVE1vABUVhWjf5HaBj1eP46UbqFcsoVSnLgDgA9NEssBKGI4p+BYIYNNYqaIhjNokKgOrMp9XxGyMoZ5NwiB2TBFC0NfXh76+Psn/sG3bNnzmM5+B53mwbRuO42DTpk382LvuuguXXXYZJiYmAADvf//7+RyI973vfbjvvvvwsY99LPX8v/Vbv4U/+ZM/wXXXXYepqSn+Gp944gm+z6//+q/jxhtv7Phr7zzoXFUY7gLwz5TSdxNCHABFAH8M4FFK6R2EkFsB3Arg09M5+fkyNfMlwerVq7F69eqO/LFnKQy1Wo2z+Q0bNrRNFoA0GXnNvEhqVn0HAU1CmcT8BRUhTcZXW0TOXCCBB1Ca3BZAzfSiQwI3IhS6JMfQT1QFoigC7Jz1mkwIfK99siDun2GClJ4zSCKUg5ob+QxccXFu3jkhliCASJkA9C2TgbLwq4+L6kLo+gjj4VLsWkW4E9XU8QDgleuSugCkv/Wz0dEFx8SAYHBkikIpb2NJf4H7E3Q+BRGNOiHyZjKWXR3FnjMN3h4MgO/nxEOkgDRZsOKR1bZBYLGOiPoUjNokjOq5ljNQZkth6DQJAZq3VTL/w7XXXounnnoKl156KS6++GLcd9992LhxIx599FGMjIzg+9//Pm65JcnheMc73gFCCAghGB4exsjISOrczz33HHzfx3XXXQcAXMUQMTExgZ/85Cd45zvf2aFXPMug9NX10wSEkH4AVwP4WvTyqUspHQdwI4D7493uBzDt/8A5pTDMJDtBha6GeebMGezZsweXXXYZBgcHp31u3WAr0dBoIEq6U6GSB9sk8AL5jeZTuTOiEYjvSspAks8glCso1bZeUq/eVFVQOyGyyILkX8ggC6wdU5z5wBfwmgvDtrS+BUYWmLqgJjIGAtFQQ5nUEdZ+zRVGXcfnLVdTLZVB4KZKGqHnI6h5sHtyKSVDVBdoQIVIaRdmvMh/5lduA5C9qOsyFKTHBVVBpygAiaogkQElPEw0O6oGXSmgyUqIgng8Iwt2PDPCoEFMamPS4NfwyzED5w5uRS6X4wmLPT092r/JTiQ9qgiCYNYUhnbO67ou3vOe9/DyRRiGeM973oMvfvGLvIQgwvM8fOMb38Bdd92Vemzv3r0YGBjAu971Lrz44ot4y1vegjvuuEMiMN/97ndx7bXXNuzwOm9AX5UKwwJCyFbh/r2U0nuF+xcCOA3gfxBCXgfgaQB/CGAxpfR4vM8JAIunewFzijDMVnsVpRT79u3D+Pg4Nm3ahFxGrHCryDJU6kZYNxo+5QaJ4VHbPqnOh2CliAxPgnR8BvGSkhs9NxrspCk/SN6FLKIApM2O4uRKxdcgkgW/UpNIgleuwog//FRFQSUSnCQowUvpVkuff8AHnJzUeYeDSFjEsojYjhlqzIwA4jCmiOy5kzVYio+AhhSBGyBwA1h5K9UWyRQFXaskG/KU5WnQIW+liYjOjMtIAnuv8gFT8a6iAVcluCJZsAwCI4hKWcSrgHgRWagMrMJrYzsQC0g6ePAgyuWy1iD4SvIwTCe4iZkeCSH4wQ9+gEWLFmHjxo14/PHHU/v/3u/9Hq6++mq86U1vSj3m+z6eeOIJPPPMM1ixYgXe85734Otf/zo+8pGP8H2+9a1vScrF+Y5XoYfhDKV0U4PHLQAbAHycUvoLQshdiMoPHJRSSgiZdvvInCIMs4F6vY7t27djYGAAmzZt6ggp0Skhy0smTlYCsHESjChozY8Uqc4IjwJ2i5dGLYeTBkJDyfzI1QTTTEgDDXmQEzEMaWRzI6+C+nhTsqAeE4Z8CBVbnIlpJKFKDRQF1kKZ1S0hnpPtz84fnUeXs8DOre9uSN22089TG6/A7hG7MqLfsVv2YOfTBIMGFH/5q38GQD/zoTdvob8QnW+q7qNf6ZTQqQoMOrVCLTWI29TchZxlSDNPWPIje28SRGSBk1qVLARe9H4LQxC/BqNelq8vNgguX75cMgiygKR58+ahWq22ZThuBbPpYWiXMIjBTT/72c/w8MMP45FHHkGtVsPExAR+8zd/Ew888AA+//nP4/Tp07jnnnu05xoaGsL69etx0UUXAQDe+c534sknn+SE4cyZM3jqqafwne98Zwav8CXGq48wNMMIgBFK6S/i+w8hIgwnCSFLKaXHCSFLAZya7hN0CcMM4Ps+tm7dite+9rVYsKBxgEw7UEsSlUoFzz77LFau3cgTHYOQ8nY4lq+ga/cSyQMRshCaKQtNZ0ogI4MBkMKY+DZdh0RGDkPDtkvJ/yCTBUAmCTQIIwIhRDmLpQB3osIHQalBS1kJjIDoZ/DizAUxmVImFnx/D1I7JgDUhVZIKpSO6hN12MICHjKloezCyltcXcgCS2hUTY2lnMVbKSsZx4skoUcoKeRihUEtQajImQY3QjKyUOCZCwmpdQRVAUjIgk3i915MFohbiUoRXh3lRZdlvmbVIOj7Pg9IeuGFF3D48GGuPpRKpRkR+9lUGNo5r2qSvP3223H77bcDAB5//HHceeedeOCBB3DffffhX/7lX/Doo49mnn/z5s0YHx/H6dOnsXDhQvzkJz/Bpk3Jl9mHHnoI119//Yw6y15avCpLEg1BKT1BCDlCCHktpXQPgGsBPBf/fBDAHfG/35vuc8wpwtCpkgRLiKzX63jjG9/YVkJkKzBNE178bZW1Zq5duxb9vQ6OTSYLos1VBiT97o3Ig5WDoQYoCRCVBanFMk57VD0NqeNj9YDYThKc5MszJQC9ksCViUZkQcwl8BMVgX/rlzwE8tyHRkqCWHpQg5yk/eKFnyjRz1A6MQLPh2XKGQyhG/BESHnyZFJuCIR2RrfswhQWb1aiqE+4cEpx22hAEQaU+xOq8fX2FyNFoZS30ZuzODkQyw6LhKFTpbyFagMCktOUIxj6hXOKakLRNqVoXtsg/L6OLDhmZMgloR+RhcAFcePJol4N9NwpYP5rMq9DhWVZWLBgAc6cOYNly5Yhl8thdHQUhw8fxtTUFEqlEicQ7ZYQZ8vD0G5JotXwqN/93d/FypUr8YY3vAEA8K53vQt/+qd/iq1bt+KrX/0q7rvvPpimiTvvvBPXXnstKKXYuHEjfud3foef48EHH8Stt96a9RTnHyjmHGGI8XEA34w7JA4A+G1EzQ3fJoR8BMAhADdP9+SkzcSyV3R0VhiGfCGeLsSEyNHRUVx11VUd//A4fvw4KpUKfN/H1NQU1q1bx2uyJ8vy9dvKh69YiWASsBkKsyH8ukwGAKnjQZJ9A1FxyMhkEPcXY5nLE8L2ODZaIQ+qEpHqqMggC2Gcy8BIgFiGAJIFmZUfxH2Zd8CvJepEo7THVFCT5yF0fckAGbg+rIIjHUODUGrFZN0MVsGOjI/xAs3UAqfHQeAFCAPKr990TOk+Iwg0CGEVLNCA4m//0xegQgxS6hXaK/uLNqbickVJ0zapUxSAJJVRLDmwcoSqJjACwcgBy2YgJHqPGohafw0IagMjC0FESCOPjA/Dq0Z5C+VxVJavT73OVvDcc89hxYoVUsARpRRTU1MYHR3F6OgofN9Hf38/n++gDoNTcfr0aUxOTnL5vlN49tlncemll7ZEYCileNOb3oRt27a9rNHX08BLcrEb119Bf/7jR16Kp3rJkFt4wdNNPAyzjjmlMMwU4+Pj2LVrF0+I3LJly6x82wjDECMjIxgaGsKGDRukDwQ1/tkkkcLAEFAgp/gXAsOWSQMjCyIh0CkLGRBLESqD1I2kpmGQkAnDiLwHDciCrhWTmR1ZZ4VIEKTbrgfDNCVjo0gWAEhkoRV4lSoM25aSF9XjdVkN9YkqrIKNUPj2Xp+ow+mJFQLh/5GRBf6aAwq/6sOIVQaxZBGGFG7Zg2mb3MA4FQc1iR4FsQ23v8haKS1OEKZqvta7IKKomVSWU0KYAFldAGQPjWMSKSdEJAu2hiwQ3wXxqtHt6gTK0yQLgL58QAhBb28vent7sXLlSgRBgHPnznEDpWEYXH3o7e1NK3UvU1ulDq8wsvCS4lVoenzZ0SUMLYBSikOHDuHEiRO48soreX8yMyc2mw3RDsbGxrBv3z709/fjNa9JS7CDBQuj1bj1L6S8HBGEFDnLgC8sQiGlSaJjTALU4VDNQASToratMgy0WQjEchDWyqnttF6TlIiGqoJAPsQWTLUdkYGVH/xaXSpTRJcpGw7FEoKa9uiVaym/gQp3MiYImrRHtRShPr/oPwjcQCIHVNnPq/mcYIQB5WULGlD8z//8Jb5vSRPU1IwMlPKWVlUQSUJO10qZoS44FuEGXAZGFsSShEgW7JgsRL6FOAgsDKI0x3oZYTX9HmoHrfgNTNPkBAGIVMTR0VGMjIxgcnISxWKRP14oFGbV9NjqeV/qKZyvSHQJQ8cxpwjDdNi453nYuXMncrkchoeHpT/S6Y641oGRkpMnT2L16tUYHx/P3NcyCPyQZrZZBhTIscuM+QO1conpUaMsAHrlIfN6NQOfGj0mKQ/xpMuWyYKYrZBBFtjoaZ0BMnD9lLdB9SmI5QTxX6Yq+Iphkp1XPBdTFKLHoveFV/Nh2qyzIhoa5QchTMeUiEMYUHix+kCV7Iz6hMtJA5BkMRQdUzIviuFMKnQdD1kliIbblE6IvGVw8y1PcLTk+7p8EABpshB7ZAyvEplia2VUL3pD5mtqBdPJYXAcB0uWLMGSJUtAKUWlUsHo6Cj27t2Ler0Oy7JQLBZ50mKn0M61dgdPNUGLYUddtIc5RRjaxcTEBHbu3ImLLroIS5akB910ijD4vo+dO3fCcRxs3ryZt4dloS9nYiKeQihOnhQ7JziIwYkCCVxQ02kcCw0ApiOTCjGYiZ3LspMWyTCMSg3qlEqxE0IYh03dbJWBenKMtEgWgprLI59Fg6M69wGI5z2YhhS8JMZFA6LXQe2QUEoPWaSi5vGIZk4Q4k6GaD8W6KSYIt0QgRvCdIxMchC4AUJBLapN1GE6Jt//R5+5F3AD3vWggqkLVTeQlIYeIcBJ9SlUvFBbguD7m4bQQpkmq2orr1gS4YmOTchCZHoMQLwqyiuHM6+lVYRhOCPZnhCCnp4e9PT04IILLuCx77VaDc8++ywIIXw8dV9f30v2rb9cLncJQzN0FYaOo0sYNKCUYmRkBCMjI3jd614n9TqL6ARhmJycxI4dO3DhhRdi6dKlANpLpGSKQtIlIQ6iUhi2YXH/ATcxCoQCgNBi2dwcKqkGar6CTmUQiUEYRp0RvpcoDupC7ad9COJtGoSSVyFUPAo6iPHNzT7cmQGSP6+UyxBI54teU/T7FpWDRjkMbjmIsxXk/yf5+CTZ0a/6sRFS/0FYcMxUt0PBMSWSoAMjCUXb0JsdG/yeWMskUxMMEnVBEEVtEDsiCKUpskACLypDuJF3IZwcB5Y2vOyW0GnpXhw/vWjRInieh7GxMZw4cQJ79+5FPp+Xyhez5TFQMxi6SKPrYeg85hRhaOWP1/d9PPfcczAMA8PDww1NSLoI53Zw7NgxHDx4EFdccYXk4m7lvH25aKpg/CWWf+MTg5z42GpddHMTLwO17IQ0xG2V8Oup4CUVoVuTyUMYJMcIKgOgxjwLC7/yHJkGRy9dqhAXdb8aqRA87rlS462N0f3IzAi0ripE2wRfgsLr2GKvKgpApChEt9MQWyq9mi+1VEbPGQ2gCtwAVkEeNV11A25qLDgmNz5O1X30CUOqxKhmRgYqnv56dEoD64BQZ5owsDHU0e1ku0gWgLSyIJIF1MsIyxOorr5a+xztYraTHm3bxqJFi7Bo0SJQSnn65L59+1Cr1aT0yU6WL7oKQzPMvRyGlwJzijA0w9TUFLZv346VK1di+fLlTfefrsIQhiGef/55uK6L4eHhVBtXO0SEfTCL5QiDxtcUeIBpK/4FgTyIRkiNsiAFM2lKESSXj4ZJsQ4LdqxlR+UIjRmyUdIjIJsbAZkg6AZGiaUGX5PDoOuEyCpB6Foq5WtL/1+zsoMhyPGBG4IGPl/YgUhRqE/4UfCSoBDUJupw4mTHVtQEGlL8/PP/HRDSHNmAKVVdKOUsXkKo+dnEQGd2ZMflGg1DMhhJSFp6WRcEIEdHWwbhGSApshCbHUnoI6yWEYxNO4hOi05/y88iIYQQFItFFItFDA0NIQxDXl4cGRkBpZSXL/r7+2dEZLoehhbQJQwdx5wjDIQQbeDJ0aNHcejQIaxbtw69vb0tnWs6hKFarWL79u1YvHgxLrvsMu2HWavnLdgm3CBEEEvh/Jtf/HeiNTrGbY1ZoHYOhM2D0HgdqFvTBihJ+yidEAB4IJMYHa0SCrUTQoyYFskC64IQyYQvlCnYgizGRbPHo7RHG0Hse1DNjGqHROgGMByTk4XAS+Y3JNcWwChY2vTFLEVB9CfUY38CA58hMZ2z4DEAACAASURBVOXCKlhcXRAhtkaK6kIW5hVkpaHuR9eqMzbmNTMibMGDwAmCoiLwYCZlXgQhaE4WvCporYxwahzuVe/OfB3nA1pVLQzDQH9/P/r7+3HhhRfC932MjY3xMDZW2phO+aJcLndLEo3w6hw+9bJjzhEGFUEQYPfu3QiCQPttvxHaJQynT5/G3r17cfnll2PevHmZ+7Vb6mDKAjNAUsNMJzoKiz/vhiBGFIzDdmGLephWIYDEg0BsOyENseGRPca3Z3RCAJrAJoVMSJ0QClHgl6UhC0BEEtRuCZ67wFMfs9MudWBTIcWyAZCoCwDgTnmpkkN9wuWKAttXTHBkLZUA4rZKsYwRgIZRsiOLiaYhxa67/hcgXAdrjSzH28SgpogY6N9Hqqogt01GjzmWvPADkMiCYxDJZCuWJBwhsMkQR6erZMGPIqCp7yGsllFf/2va6z2fMN0yh2VZWLhwIRYuXAgg+vIwNjbGh2e5rosTJ05g3rx5TcObuh6GxiDoehhmA3OaMJTLZWzfvh1DQ0MYGhpqW7rMmiqpglKK/fv3Y2xsrKVplu0QBksgCwBA1G/2hgnixRG7TA0gpGHLUSvhTY2ClqILctPlhwZtlEA6vjmLLMjZC+k2S7mDgikPskmRmEamquCV65KqoINX9lL7sDAlKfq5nCz4fCz1lCeRA0YavLIHK2+lTJOu0HkBRMpSNSYIfbl0SqMIVhZQR01H21pb9BhZsAwiEIfkccsg0qRUSyiNkTCUVC7iu9H90E/IQm0KwbmzoGI66HmMToW1FQoFFAoFLFu2DLVaDbt27eL/BkGAgYEBnj6peqm6hKEFzMBf1oUec44wsJLEiRMncODAAaxZswb9/f3TOpdhGE2jpl3Xxfbt29HX19fyNEvDMFrOiTcIiQKa1HKEYcHwlG/yhpUYIfmIa8G/IJIEQaHQ5SNIbZXKY7wcEQaAYaaIATHNVCBPoEQ1ywpC62RBJhnsnB73OfD9s3IXhPZIUVVgyoCUncDNj2JCI2vVFAKYPLG0InsUkn1kciIOmKIBhVf2cPC/PwQ2rrSgJQDJtlLOQiU+Z8kRVYe0T0E8TuyIYNUKNU+BkQXLlIOaHJOAIHpPGjSIvuGpyoKGLNBqGbRaxo9qC1HcsqXhQnk+YLaMlLlcDqtWrcKqVasQBAEfnnXgwAFYlsXNkz09PV3C0BTdHIbZwJyLCgvDELt378bx48exefPmaZMFoHlJ4ty5c9iyZQtWrFiB1atXz0qLle/7IGHAlQVqmCCiBMzAzI58vzRXpLagfBjNP6ip7yaGR3WMNStRqKqC58kdEZ6fMiZ2miywc3IFwvWjjgNxzkP8AySLN//Xlf9likDgJnHObF+v5nOCIBoYRQ+CnDopJHMGFPUJuVzC5kew58kp/oKcZfIfFUXbRNE2tZ4E3TYRunlTlhGNnrZMwsmCbUStk4wsWCRWFvx6NETKr0lkgbAyROCCVs6B1msIa2W4m29CsVjEhg0bMDg4iNHRUfzyl7/EM888g0OHDmFqaqplEj3bmI1oaJWEmKaJ+fPn45JLLsHmzZtx+eWXw3Ec7N+/H5s2bcI3v/lNbNu2DUeOHAEAHDlyBG9+85tx+eWXY82aNbjrrrsAANu2bcPrX/96rF+/Hps2bcJTTz2Veu7HHnsM69ev5z/5fB7f/e53AQCPPvooNmzYgPXr1+ONb3wj9u3b19HXPWtgw6deTT/nAeacwrBz506USiVceumlM17AswgDpRRHjhzBsWPHpCjpToOVVFasWIFlSxanyhHUsCSPAoDIy8AVgDjAiBiJ0VHwL2SPldarKny7zgipGBxpGErSPaAQAjY4yjRAg7ApWWAEwTCMVEqjCDGdMSpLZBO+wA0Ev4HcDcHIQxTKJG8L3IBvExUFQ3AJ0ngehJ23UnMkvLLHj2c49cB3gPj3lYyYTs5XEtQK0VfA1IO8ZUjqgk5VEEmCWIYAkIp8Fv0KbD8SL+g8KMyvJb6YmCwgYMOlIuIYnDuLcOJscu3xQjl//nwAQL1ex+joKCcNYpsiG8j2UmM2FIZmcyRyuRyWLl2KpUuXYuvWrbjtttswNjaGW265BWfOnMFHP/pR/NVf/RU2bNiAyclJbNy4Eddddx0+9alP4XOf+xze/va345FHHsGnPvUpPP7449K53/zmN2Pbtm0AgNHRUVx88cV461vfCgD42Mc+hu9973u47LLLcPfdd+Mv/uIv8PWvf72jr3220PUwdB5zjjCsXbu2Y+fSEQYxx2Hz5s2zJqmePHkS+/fvx9q1a9HX1wfEo4CpaYOadqocQWjIiQJPfNSAmo7cTtkIYahtnYTlRB4GpjIEooyf9jukFAbN4ChAJgripEpfymZIkwWmPPhxCyYnGVWPL+IpQ6OiKkSvI4T43y2VHRT1IXreRGmgIQVM4XaM+kSdt1+KBMqv+TBtUyISedNATdhHVRv4dmWqZF0hZlkliGRbmkgzrmEqZQl2DSyMiU+bpGGaLLAyhFcHLU8grJVB3Rr8N/+29nUA8kJJKeVtijt37kQYhlL5Ql3EZ0uRmO1sh2Zg4VG/8Ru/gRtvvBG1Wg1TU1NYsGABAKC3txeXXXYZjh49CkIIJiYib8i5c+ewbNmyhud+6KGH8Pa3v51/yWn3+C5e3ZhzhKGT8x9U0+PU1BR27NiBCy64AENDQx15DhWUUrzwwguYnJzE5s2bkzAYpwC41XQpgobyaOoYJHAj/4LQQsnUCK4sGGaiLAhehJbmSCgqA++wENsqg1BqnVQjnpuRhegYMachzpXQtGM2GiQllh5oQAXFIPsbilR2iN9OYqkCAAzTkMoPonlRJALulCeQBiqVN0zFq8DGRVsCKegV1AWDpNWFnGk09SmIJIEPh9IYHIHEq8CfM/CEDpyELJB4eyZZqJbhveHm6HW3sLgTQtDX14e+vj6sWrUKvu9jfHwcZ86cwb59+5DL5bj6UCwWz4shUa2i3UmVoochn88jn8/zxw4ePIhnnnkGV111Fb7yla/gV3/1V/FHf/RHCMMQ//Zv/9bwvA8++CA+8YlP8Pv33Xcf3vGOd6BQKKCvrw9PPvlkm6/s5UK3rXI2MOc8DJ2EGOF84sQJbN++HWvWrJk1suC6Lp5++mkYhoENGzakkuNI6HNTIzUsaR6E9LhhSUOnUmjiXyBOXrpP3VpqPgSsOIzI81Ju5dD1Zb9BtQ6/Wk9mPSiPZ5EFOX0xDl9Skh5Fr0J0fOxpEIZDifeT50xIjfhv4IUpj0LohvDK8nmjkoPLbzOw/aLjhHTHspvyM9CAwq/5mPzfD6dMjnnL4D9Z26frU9DuaxAUbEMiCzb1OVkgfj0aSe0LbZNAQhYCl5MF6nug1TKCc0kpglLadonQsiwsWLAAq1evxvDwMFavXg3DMHDgwAFs2bIFe/bsge/7TY3J7WI61/r/s/fucXKUdbr4U1XdPfeZzC2ZMJdMQu7JZCaTREFBZXdZ0KOsgEGRXWBBj5fDHnDF+yKyCqiroL8D4mLWFdyVVY4iZxE8rOsGFXfBwMlckkkymUsyl8xMd8+lZ/pWt/f3R9X71lvV1T3dPd0dYPr5fPKZ6erqqurOdNVTz/f5Pt/lkCkJSWZ6XFpawrXXXotvfetbqK6uxiOPPIIHH3wQY2NjePDBB3Hrrbcm3ea5c+fQ19eHK664gi178MEH8eyzz2J8fBx/+Zd/aSMTr3mcb89B0cNQBA9JkqCqKk6cOIFIJGK/418hBEGwnUQWFhbQ39+PrVu3sj5uJ0hpFYTYomsUNHTN1iUBmG2WgsBqzrao5rh726SVt5CCcFAjpDNu2eUunycGzsdOr4Jt9HMKsqBGHbkMLP3RYWI0L/zOcoIaVZl3AqDlAdG2PtEIRJ/Iyg48eIJgvReu/ZJTFHSNMEVEiakQJcG16wKwOiOcA8aSlSYAk0Bw3gXngCjAUBJ8VE1weBeAxBZKm1dGU6zOG9VUF2jGAtEtsqAqIPGokbcQDkGPRaD96Ues95mDi3BZWRmam5vR3NwMXdcxOzuL+fl59Pb2AsB5GRKVLlaiMFAoioJrr70WN9xwA6655hoAwGOPPcYMkAcPHsSHPvShpNv8yU9+gquvvpqdw/x+P3p6evDmN78ZAPD+978fV155ZUbv67yBkMTwuCJWjFVHGHJ5Z0CT22pra7Ft27acbptmMYiiiPHxcYyNjaVnoKSqgulRSChHmM8TyWOVI0wI3hIQumyZREjB67ORBlcjpK4lzIUATN9B2BEJneBjUN0Njy5Ewe31/DIj/dHezUAvypREOE2G1v6Mz0AOKwltldY6mrUOHWXN2jMtAyPhuh2UsGxr9dQ1YnRqABDNqZRE04FfPo9S2KOdeY8CPzWSLztU+CTEksyJAOwlCCdZ4CEJZrojnQNBfTDU2KirgCqzFkrjp9EJQcsRlCzokUWjHBFZTPAt5GNIVGVlJSorK7Fnz56EIVFlZWW2IVGZIB/dTtkQBn7+DCEEt956K3bs2GFTAS644AK88MILeMc73oFf//rX2LJlS9JtPvHEE7j//vvZ49raWiwsLODUqVPYunUr/u3f/g07duzI8J2dP5BiDkPOseoIQ64QDAYxMDCAkpISbNq0KefbF0WRqRe6ri87CIuCVNRDCAcTyxEsGtpj64QAzG4K0yTJpzCy2GdbkiNHEpJ4GZwtlhTOYCbAbnA0HjvnPHBdG3xrYhKyoLnMkNBkDZqiJ3Q48AOiaC4C3/0gOYKNnEqEYgY1ARYBUbnBUZanQbfNmuBPZM6Tmq4RCFqiQkHLC6LjYpWq7FBqlhAo3MyMlCx4pOShTBSiZh89bnQ7mJ+zG1kwExxtZCEWgbY4n3Ac+Zb5kw2JOnXqFOLxOGpqalBXV4fa2tpl017zYabUdT2jlFmnwvDiiy/ihz/8ITo6OtDV1QUAuO+++/C9730Pt99+O1RVRWlpKR599FEAwJEjR/Dd734Xhw4dAmD4HsbGxvD2t7+dbdPj8eB73/serr32WoiiiNraWnz/+9/PxdstAIoKQz5QJAwZghCCkZERBAIB7N+/H6+++mre9vXqq6+iubkZbW1tGZ1MqapAJPO/V1McoU3mSZ5LgaQQyyoSQpVs2zYHTvGg6gIjG+bwKQpaZhC9HiszQdMSLpZqkqmU/DaM3zMjC8mQUKJwliocJQtbm6Uj0AngfA58uBMlFw4DIz/BkqoL7HOIqpB8Ikp+9SsAsMU78yoCP8uBD2fySQIUl7IIe543OEp2gyMPjyjAI5gqggary4a26mqq3dhIdJaxAMDwLMSj0JfmjfwNXYe+OAdy1ScS9lXIzgO3IVELCwusfVMURaY+VFVV5W1ENY9MFYZwOGxTGC655JKkROaVV15JWLZ//35GFgCgvb0dExMTCetdffXVuPrqq9M+rtcMCIqEIQ8oEoYMoCgK+vr6UF5ejv379+etDhoMBrGwsIBdu3Zh/fr1Gb9er14HMTSdWI7QLSKR8ByfyEinUYoS9JhFHihRsHkakmQyuJUiAECTE5enJgdOj0PmZIFe+A1vgtUBoSkaRPNCqTnk+0QTJK88SLZlvOeAz2twhjoBhqLAGyrlJc3uZ6AEI66Bxmi55S4AqSdJeh2dDqlGUvPP29QF/iWcVwEABCUG0FZKorPyFjU3AjDIgTmsjMTC0Bfnob/7dtfjyIfCkO426d0zne8iyzKbMLm4uIiKigpGIEpKSvJCIDIlTLFYzNYZUYQdBMTWzl1EbrDqCEO2X/ZQKIT+/n5s2rQJTU1NOT4qA7x6UV9fb7uDyBiUXYuSFf/MlSNY+6XoAZHtKgMdHJUMgq/UEerEvT4ZgTAv5JLPy0iD05+QygCZSeKjsdxOFng42yX5rgdREhNKD7QbgpoZbQRAM05MgqPkoOlGCyldl2gEiiy7Zi7EF2VIXGlBJwQN//kCe0z9C3z5gS9NlDlMjXSuiJvBEUitKrB1BLBcBYDzKlDSwJMFmrdAOyHiUdY5w8hCOIR4YDbpCee10HlA4fP50NTUhKamJhBCEA6HMTs7y0bSy7KMYDCY0+jqTBUGAK854+ZrCgQpPVhFZIdVRxiyATUddnZ25i2/XVVV9PX1obS0FPv378fAwEBGEyud0NdcAHF+MuHCL9DygaNjAoChMpjlCH25LIYkxMB2DA4CABgXfmfCI73ou5kcAYfRMUuyQCV/2gHBZx3weQlUheBNkoIoWGQhielRj5GEkgPRVGZgpDCmWlq+B80kA7KiwSuK0F1kZTefgs+T4mLvUA1sBkeTLCg6SXheJLw/gVMTeK8CYC9DcMOlXMlCJAQ9vAh5bh6eP/9C0mM+32FIySAIAjNPtrW1IRaLobe31zbjob6+ns14yJb0ZEIYXisR2a9tFD0M+UCRMKQAHX2t6zoOHDiQkSkpEywtLaG3txcbN25kJQg+4yFbJCQ26iqIx8tIA1MbPF6QmN234DZcyvY8F8AkSJLN1+BWjjBGPFvKgjOhEUjdOumMknadUplEVUhsp0xMceShOvwG1MjIKw+aoiWEKtHj5BUMaqa0pThypREA0AiBRgBN0+ETBTS//Dv2XFxLHCDFX5NKJbu6oCyjLlCUpTBLspRQ3U4SrPZJOmTMaKGkJYhkZEEJhSBd/7mUx/NaUhhSQRAElJSUsG6DXEVXZ3qsgiAUxFvxugUhIEXCkHOsOsKQ7pcsEomgp6cHzc3NaG1tTfm6lZzs6NTMjo4OVFVVseWZjLhOBq2+HVJwlD0WVMUgDPRCIHpAYkv2F+ma9UWjXgZJssoOfOBTivAnNn3SRWUA4EoWAItM2NsquajoZVQFJ5xkQXdRCujsB2emAl96cCoP/Dr2DgmRvQ8K+jvvUaDKgsbdLWqEIOrYvptPIVUpweld4IkD72OwqQrEManUBAv3on8PPAFVja4IIkeNGHBNs8hCPAY9sgioMrRoBOJ1n0l6vBSvVYVhuW2mE11dX1+PmpqalMeSTUmiiGVQLEnkHKuOMKSDmZkZDA4OYvfu3ctOs6QX9ky/7Lqu49SpU0kDn5yx09kgEomgih8mZaoLbCgVP7GSK0dY0dCJWQxO/wJgmSGpspCsfTKVR8G+Lk8KuDApvq0yCVlgfgQHIdAU3TVrgQ9rEhNKFULK3AW6Dr8dZ8nB2L993zohkE3iIgkAzxF29vwn+11WjSd4jwLPFUokvtRgrKPqZFl1IRXhEJSI8dNZkqDqAjU3KhaBTEYWlLk5xIILiM3NLXvBPJ+mx0yQioQki672+/0YHBxMiK7mjy0TciPLcs4C4t64KCoM+UCRMHBwzmlIR1KksykyIQzxeBy9vb2oq6vD3r17XU9qKy1JBAIBnDx5Ert27UJDbIq1WNp8C7oKwVcKPRyyvVbw+Kyx1TR3QZRY2SLZFEsKqdQHJRRhj2kpQvR5oMuq61wHnjw4VYUEopEhWXDCbUy18Xp714NTVeBLFfw6os/eNcGXHBiRcPEo0FKEJAhMafCKXFnBxaeQrNuBf97joi7wJIF6FXhVIaF8RaOdna243LqMINC/C44s6NEw4vOLWLrmdsyaBLy0tJTV+51hSa+XkoSmaWlvk0ZX06FQNPtheHgY0WgUVVVVqK+vR21tbUbnkHA4nLcJuG8YFNsq84IiYTBBL+K1tbXo7u5O++SV6TCr+fl5HDt2DNu2bWMnEjdkW5IghGB0dBR+vx/79+9HSUkJMDXFZTN4jQuFWzkCXKYCvWC7dExQlYEoCiBKtgmUbuoCYF30kwUz0fJDwvO2Tgl+GFUiUTDWTyQLbm2VutlWKSRpq9SdpIJTFZKtk+x3RddtHgVZ50mDQRwkAejsMwb70Iu7opOkHoVSm7pg/b7c3y1vbGSv0WR7B4QznIl6VWi4F08QYmHDr0DniagytPAi4nOLKP3Q36IUQGNjo2tYEp00WVtb+7oqSWRbOnBGVy8uLiIYDGJsbAxLS0s4c+ZMWtHV4XA4b+brNw5IsSSRB6w6wuB2Qp2bm8Px48eXvYi7IV0lgBCCsbExTE5Ooru7e9k42mymaqqqiv7+fvh8PltOhNq0HZ7JY9ZQKUd3hOD1sXKEtczLSINteiVLfFy+S8KZ4ggAktcDJZyoSmgOw6MR58wZBVdIFngkehWsXAQ+ldE58prPW6D70g0mYL7ebMMkBFAJREGAwp20NEKwpBL4RIGpC3S5U2kADOLgEQEut8nKTZAEqC6JkLR64eOIBvUpAJaqYFMUHF4U+pzRSmkmOAL2/3tdg07NjQ6yoIZjiPrnISgKu7iKopgQljQ/P4/Z2VmMjIyAEAKv14ulpaUVdRvweC2TEFEUUVNTw0qeL7/8MiorK9OKro5EIkWFYTkQFHMY8oBVRxgAgzQQQkAIwZkzZzA9PZ3WRdwN6XgNNE3DsWPHIAgCDhw4kNYdiiiKGU3ZoybNtrY2NDc3Jzwv6Cq9ZoBIPgia7FqOALhIaNpf7/FCjxklBqtEYcVFC6LIlAX+dx5OkyPbl6azz8+YMWHPhNCYGdIYO51JCcKZ1AgkehXUmH3QlPVaixDossbKDvy+KIGwTZk0L/iGgVE3yYFlbqTGRpq2SMnC20++DFU3SAMFbWTwiAYBoPkKJR6LNPCpjctUK9yNjXGDKFrqgqn4mNkcxgCpOJfmaXoVdM36XY4ZiY6xCJRQBJGZOVR/8pvQdR2aprFygyiK7CefpggAExMTCAaDGB0dRTgcRnV1NXs+23r9StSAVNvMR/6BIAgJ0dXBYDAhurqqqqqoMKSFYltlPrAqCQNgvxs/cOBA1ieB5ZQAeiFvaWlBa2trRtuNx+PLrwhjqtypU6dSmjSVlk54x3sAGBkMbi2TCeUIjy/x7rOkzB7U5ALNxX/gKfUx0kB0PWWCI2DvhrCWJc9XSPa8sxvCeN7ROWF2SdB2SLepkfy+aH6C5BETyg5UPaDgyQEtRWjEWO70JjrVBEkUoHHlC2dugjP+meUvQAdS+RRY0JLjb0CTXcyOpnqiGKUJIsdYdLgbWZAXw6j91IPWZ6brIIRA13X2j35feALh8XhQU1ODDRs2gBCCUCjE0hYBYxBSfX09qqur01YfXssKQyrw0dWtra226OoPf/jDmJ6eRnV1Nf7whz+gu7sbkiThlltuwTPPPIO1a9eiv7/ftr1vfvObuPPOO+H3+10V1E9/+tP4xS9+AV3Xcfnll+Pb3/42BEHAj3/8Y9x7773QNA3vfve78bWvfS2v7zunKE6rzAtWJWFYXFxEb28v2tvbccEFF6xoW6kIA72Q79q1C2vWrMlou+mUOgghGB4exuzsbFomTaLEIXhLjLtJczIln6FAVBmCx2cvR9DWSj6rgYuOViMWeaB+BE9piS2ZETAUBreJkm4GSFvrJHfBJzpxLQsYr0lubuR/dwYwOdskneADn5wkghoZ+bJD1MWnEOXzIzi1QdYNgvEng39gF3+qKtDpkJIoML+CogOlnBGyguue8JqL1SRvx2lq5HMVaLukQGdDcF4GIsdYFwR03SALqmzkYsgxkHAIWjwONRxDbH4RNbf/nW0/9OJK7/QpgdA0jSlLmqZBVTmiIghMrt+4cSObNDk5OYkTJ06wqOb6+nrDo5MEhJDzanrMFfjo6p///Od48skn8bOf/QwPP/wwXn31VRw8eBA333wzbrvtNtx44422146NjeH5559HW1ub67Z///vf48UXX2QjwC+55BK88MIL6OjowKc+9Sm88soraGxsxE033YR///d/xx//8R/n/f3mCsVplbnHqiMMNH7ZmXuQLdxKEpleyN2wnOmRJkOWlZVh3759aZ3E1I1vgmfkZW6BecevKhA8Xnt3BOdbSGDqKaKjKVFwMyvS4VNuBkgnmbDMkAILSmLPLVOCSFieZFolTxbUmGqLcuZbIdkAqbgGySOyDAUAjCzwvINXEixyQGzlBro+XZfvjkg2gdIrLt8l4dUtYkATGI03aFcVbHMhVPsypj6pslF20DUQsyQFVTbKU+ZzlCzIi+EEsuAGNwIRj8cxPT2N5uZmyLLMnqfqg3PSJI1qPn78OFRVRW1tLerq6rBmzRrb9+D1ojBkmtzo9Xqxb98+3HPPPSCEYHZ2FvX19RgdHU1Y9xOf+AS+/vWv48/+7M9ctyUIAmKxGGRZBiEEiqJg3bp1GB4expYtW9DY2AgA+JM/+RP89Kc/fR0RhqLCkA+sOsIgCAI6OztXnHFA4VQY6ICqioqKtC/kybab7BjD4TB6enqyU0hoicFjkBiiKLZsBao28EmPNtOj+bxmlksEyd2zwCPVOrR9knVJOEoRmqwxVQBwZDHwQ59cyEIq1cHN3MjPfQAsVQHggpYcgUs8UXBbBhikgO+G4J+/avQVZl50y0fgsxYk7nm+M0LkiIGgKSCSo+avyolmR5bayJEFNc7uyojpbbFaJs0OCdPc6CQL0WAI2dBv+n3ZsGED66Zwqg+878EZ1axpGubn5xEIBDA0NASfz8fUh3yoAZmOoU53m5kcJ+9hEAQB9fX1rus9/fTTaG5uRmdnZ9JtXXzxxbjssstY8NRtt92GHTt2YG5uDidPnsTo6ChaWlrw85//nJG51wWKbZV5waojDLkGXzpYXFxEX19fTgZUJStJ0FCpjo4OVFdXZ7zd3/hFvK1Rd01pJKpsH1/Nmx5p3Vq1qwWAaVaMJioLbuWGZMt1WWXzHNh65sVdEAWoMYcCQTsSdJKQp5Dwe8KYai55Uddt20vIZuCUBs1xJ8irBPT6rRHYQpkSWyhhWxewhkGpGmGTKd3Aex5ETYHuIAYWKVAAJeayPJEssGWaY0Q5wNplSTRskEdaojDJghwKQ43EEJ9bwtq7H0l63MkQDofR19eHrVu3MvMjYFcfqGlS0zRX74MkSaivr2cXTdq6efr0aSwsLCAWizEVIhcX+teCahGJRJY1PUYiEdx33314/vnnU653+vRpMudZuQAAIABJREFUDAwMMK/I5Zdfjt/+9re49NJL8cgjj+D9738/RFHEW97yFgwNDaV9jOcbBGRVliQEQZAAHAEwQQh5tyAIGwH8C4B6AK8A+AtCSNbMr0gYVgiqMExOTmJ0dBR79uxZ2ZRJE86SBCEEQ0NDmJ+fz7rMQbdLs/8F032ekNyoWqZHEgtD8FgXJkGUWIKamydBKvXZ1ARKINy6J6i6QNcRXeZLJI6d5mdNJCEILuZHqkzwr6dzH6xsBs2mWvAxzqnVA6stkh0DIZB1K8nR2ULpEwW87+yrbBlgEAevaHgVALtfwStY/gQvMT8vTWEXevPNsV/d2ictcqDZHpO41QFD5JilLDGSqNiyF5SlMNRoHGokhmgwlBVZWFhYwPHjx7F79+6kpUGqKgDu5klVVSEIgq11k886GBgYQHV1NUKhEM6cOcM6M+gk2GxaN/MVBpVJN0ckEkmqKlAMDQ1hZGSEqQvj4+Po7u7Gyy+/bLuZeeqpp3DRRRexc9Y73/lO/Od//icuvfRSvOc978F73vMeAMCjjz76+oquXr0Kw+0ABgDQu8mvAXiQEPIvgiB8F8CtADL/wppYlYQhl4lyoihifHwcJSUleNOb3pQzuZInDKqqore3FxUVFeju7l7RCUsURcS2XIKSgV+zZdTsCCSWKIznFVtWAyUKotcD1cxUECWJ+ReSKQv8c7qjZdT5Gmc5gWjEUYLg2xt123pOc6STLLjdedh8EarOxkfT7ge+lEBJgtOTIOu6LUshUVGwjum6sVcZMaDboR5G+tOZy8D4g4vyxAZCwYpvtj1PjY38KHOObJB4jGunVQzywKsKigJdjkGLyYwsKOFYVmQhEAjg9OnT6OrqSruV2c37wHdduLVuEkJQU1PD2oxlWcbs7CzOnj2LpaUlVFZWsuTJdAn4a4UwLJfD0NHRgZmZGfa4vb0dR44cSeiSaGtrw/e+9z187nOfAyEEL7zwAu644w4Ahpq5du1azM3N4Tvf+Q5+8pOfZPCuzjdWn4dBEIQWAP8NwL0A/lowLnR/BOCD5iqPAfgSioTh/CAWi2F4eBglJSXo6urKKRGhyoXbJMuVgBERXWcXCBtBUGVbOyVfjtBVBaLH65pbYNuHOS6aKgd86QIcT3CbJWEQA/e2SSC5qpCs28FJFujrRa6N0hbCxIHvfqCmRb7EQEsRTsOjUYowj5FTGthxU6VApPsxfvIeBUoiJEGApJnTICWfzchoIwlurZKUJLhNHdUUK60TBmmknRAkHjW6IPhERwdZkEMRLIxMoS5xyykxOTmJiYkJdHd3Z62SAcurD7Tzgi4XRRE+nw9NTU1oamoCIQRLS0sIBoNsUBTfupmMFOTLF7HSksT111+Pw4cPIxAIoKWlBffccw9uvfVW19cfOXIE3/3ud3Ho0CG8733vw69//Wt0dHRAEARceeWVTFW4/fbb0dNjtGJ/8YtfxNatW7N8h+cBb8zgpgZBEI5wjx8lhDzKPf4WgE8DzE5UD2CeEEJPtOMAEkN6MkCRMGQJmg5Jnd25zsEXRRGxWAy9vb056+ig29V1HXrXOyEefY4uNDok5BjLWRB8pcZcAP61Hi8bMMVUBp8Hihm2xJsb3ciApqgJygJFsvZJ0ScllAoAgyBYxCSxTGEfha0npDYytYEjFIIkMFOjW/dDVNMT7vrZ9ghPJKxlVinCUilunTrKQpgAgziUeKxgJi90lszIQ9BkSyngPAogLuTNpRRBlLixWc6/wsyuqmwpSDSkiw4VM8mCHApDV1TIoQhiwQVs+t6TiftNAhqSNjc3x7IDcgU39WF6ehrxeBxer5eRB0oyqApRVVWFqqoqNihqbm5u2aTFfIRBZaMwOAnDE088kfI1fAfF/v37cejQIQDGZ/b3f//3rq9Zbpuvbbwho6EDhJD9bk8IgvBuADOEkFcEQXhHvg6gSBgyBJ8OuW/fPkSjUZw7dy7n+xgZGUE0GsXb3/72nE6mEwSBJU9qYjO69ImELxbLXjCVB1s5wsWTIHm9jDTQLgdnZwQtOQiiaAtu0hjxMIhBQhxzErJg7EtLmPVAlxs/E08YJEWpwtkBQVUF5whq4yfYOtZziY/51/E+B9oeqboEM4E7bFHhSghKjHW38GCqAk8S1EQPg7FDmcvdMMmfc0qpKhuRz6oMLWb8U2NxRhYiM3No/dY/JRxHMhBCcOrUKaiqis7OzrznGExOTrLvp9frZYoDrzwA9tZNj8eDxsZG1qkRiUTY3AtZllFTU5PXzouVEoYiVj3eCuAqQRDeBaAUhofh2wDWCILgMVWGFgATK9nJqiQM2aoBqqri2LFj8Hg8LB1SluUVTZV0QlEU9Pb2oqqqCuXl5TkfY0sIQV9fH9avX2+k6r0yYj0piiDxmL3N0oyCpsoCnTiZDHy5gv+dT3JMTHm0tzUCdJaEqTJIgm3oE1+K0DXd1nbpRhac7ZL8erb5D7CTBfqTdjs4qx7JjJDJsqA0AnzMb0i8GgtqEgwTo6ZBl7wQ+e4GfgS5Yl3MbWWJZUgCNbiyzA2qGtBygzkLAlz+Bs1e4MmCHIpAV1TE5xczIgu6rqO/vx/l5eXYunVrzpU4HnTwWigUQldXl80M6SxfLNe6WVFRgYqKCrS2tkLTNCwsLCAYDCIYDCIWi6GxsRF1dXU5mXuRKQkpEoY0sYo8DISQzwH4HACYCsOdhJAbBEF4EsD7YHRK3ATg6ZXsZ1UShmwQDofR29uL1tZWtLS0sOXZDIlKBupXoG2ZgUAgJ9ulWFhYwNzcHLZs2YK2tjYQQqDufTekl5+yOiaoQ55efErKQMIhWzkCMEoSgiQyo6NRmoix5ygsBcHLSIPg0g3B1nd6FrgLO50lwcKcXOY6GC2e3Khsmivg0npJNALFNCoCfOBSKhUhsbXS2QHB/+4cNEXB+xVgHpJopi8Skfta0hZIPTlJA9yNjjxZcKoK/GPDu6AZBsd4jKV38mRBicSghqPw3/AJkIkJ1NfXo7S0NOUxqaqKnp4eNDY2Jk0azBV4FaOjoyPpBditfJFO6yYtT0SjUWzYsAHhcBijo6OIRCK2MdXZEPxMSxLhcDgnnVhvaBDCurlWOT4D4F8EQfgKgP8H4B9WsrEiYUgDMzMzOH36NHbt2pUwqyFXhGFqagrDw8M5a8t0YnJyEmfOnEFDQwOqq6vZCZIQAkmVWcmclSF8pSAR+2Aqvgyh0Yu/WWJItp4oiraY6IRER5cyRDIDozX7gVcPEg2SzuNxkgW37fNkgU9l5B8n637gX09fQ0F9DwDwP6dfYZ0JNEPBpihw5ECQI9wbsN6PTV1weS2Ro5b9wakqmJ4UphpRj4pJFKBrUCNR6IoKNRY3TY4yIwvrv/aPqA6HEQwGcezYMaiqytoUnSmL8XgcPT092LBhA9atW5fweecSuq7j+PHjKCkpwc6dOzO648+0dVPTNJSVlaGmpgYXXHBBwphqAOwzqaqqSutY8pHDUMTqjYYmhBwGcNj8fRjAm3K17VVJGNI9oRBCWADM/v37XV3dy0U4p7OPwcFBLC4u4sCBAzkvQei6jlOnTiEajeLAgQMYHByEqqqsjiuKIrS3vB/S73/MXiOYkyhZaUKUWEcFveBLPi8jDbTEkGx0NQ/N5oFQzNdJ0BTNVV1w5jAkIwtuXRu2soQLWaDGRqeywF5jMzIm64gQXF/vjIW+c/oPxl28OWJc1BQIpj+BSD56kAnvAXAfIGVTFFwioHnDIg8Sj9qinwHYWiaJpjOyoMkqIwsXfP0HAMBSFjds2MCMgtPT0zh58iTKysrQ0NCA8vJynDp1KiGQKR/QNA29vb2ora1Fe3v7iraVTusm/d7Qi7xzTLWiKJidncXExARCoRAqKipY62ayuReapmXUjl0kDGmAkJSdXEVkh1VJGNKBLMvo6+tDdXU19u3bl5RkrERhUBQFPT09qKmpQXd3d87ru7Iss5Pptm3bABgnxenpaXi9XttJR3vL+yH+5p9YSFPC5EoYZIEPZrIlPaZYJkgSNFq6MDsbjOXWuGrBEYtMl0te0eZfABK9Dm7LnTkMbkQBsJcTAHfvAgUfxGQts8hCqphoQZMNYuAikwqaDEGJgUjG15EnA4JiKQ2CWzcEB2cAFwA2KIxFO6uK8X9LCaBpeKQtk0YZwjQ7KiqUUBhL5xJHoANwNQqOj4/j1KlTKC0thd/vByEEtbW1eTE60u/PBRdcsOIhcm7g1QdN03D69GnmWUhWvvB6vVi3bh3WrVvH5l4Eg8GUcy80TUs5RMsJVVVX1JK6GkCI+01EEStDkTC4IBQKoa+vD1u2bMHatWtTrputwkBjpDdv3rzsPrKBc/tUam1paWHBOdFoFLW1tWhsbDRO6roG2rFrqQtiYhKk+UX0lJaw7ghdViH6PLbIaMnrgWLWw20zIFynVuoJpQKqIFD/Aq8uODsnNFm3OjBYzLNDnSAk5QwIfmiU87E9BlpgpYqE9+Gy/U9NvgiAa2+UfHYiYI6Utn4mKg02EsGbGrmsBPY+WbeDqQCFrQs+URU2J4I3NgKwkQUlHIW8GEE8FMe2H/084XgSjk8QEI1GMTc3h4svvhg+nw9zc3Pw+/0YHBxESUkJGhoaUF9fv2zoUDqIx+M4evQoNm7cmJfvDw9CCE6ePAlRFLF7924IguBqnnRr3eQVGU3TMDc3x75/JSUlqK+vRzweL3oSco7VGQ2dbxQJgwMTExM4e/Ysurq60pL9slEFzp07h5GRkbz5FaanpzE0NMS2z/sVSkpK0NLSgpaWFui6zk7qp06dQtmaTnTP97Dt0Fo3nWJJWyX57AUKb0WprRzhvFjz3RWGMdFSLpJNmeShu7RIGvuxMhv4E4SeorXSqSoAiWTB6VfglzlnR1jb5V9j/P65M78CoYZF08woRueN46UtknzJgZ8i6eJRAGCVi+i4cbqcGhjpY24uhBHSZO940WWVGRuNUoQxgpyShdhcFFt/+BTSgVsgU0NDA0sWjEQiCAaDOHnyJOLxONasWYOGhgbU1tZmnGsQiUTQ29uLbdu2oba2NqPXZgra5VFRUYFNmzax73sy82Sq1k1JkmyfSTQaZZ0Xs7OzCAaDqKurSzn3giZaFrEMigpDXrAqCYPbF07XdQwMDEBVVRw4cCDnE+noPgYHBxEOh9OKkaZ3MunKudRzEQqFmB+Cr7s6tyOKIhvcQyXlYf8abDz9K2PctddnuenpkCbmV/BCUxRbdwRgqQesO8LrZeUIvkxBSxOaoiekORqvtw+MMpa5j7jmj0+TdauV01QmiEa4tklzWw5Vwe05N7Jgj4e2nnMjDgmnK0eng8C1SBLRY0tuFGXqb/DajI5s7gOf0uhSiqCqgq09VlWgq4ox6EtRocmKaXCUbeQhE7KQbiBTeXk5ysvLWZsinTB5+vRp+Hw+m/qQ6oK4uLiI/v7+lDMocgXqj6irq8OGDRtSrptp6yYAlJWVoaWlBeFwmKkks7OzbO4F9T64zb0okoblUSQMuceqJAxOxGIx9PT0YN26ddiwYUNevoyyLKOnpwd1dXXYu3dvWvug5Y50CINz3gQAdsISBGHZ/fG952SAk8RFEdB11vlg8zC4mB01zsNAiQI/sto2s8EkBSy0yXVolF325xMg+fZJYz/2yZOAFcYEJJobk6kKTq+Cc3YE/9gt1AkwyMIXRv6v8VlQc6HHZ5/lwEHQVdcIZ0FTWHukTTGIWSUNazS55VOgy6mqAFWBFjeUBKoOqRFqjDTIgrwYhhyKQg7LaZOFbAKZ3CZMBoNBDA4OsjIZvVjyBISOXO7s7MxJWSMVaEtoU1MTm0WRLjJt3dQ0DV6vF5WVlUwxicfjtrkXVVVVWFhYQGtra8rv8i233IJnnnkGa9euRX9/f8LzhBDcfvvtePbZZ1FeXo4f/OAH7Hzx2GOP4Stf+QoA4G/+5m9w0003ZfS+X0sghEB/40VDn3esesIQDAZx4sQJ7NixI2+O7kw8ETwkSUrLHxEOh9HT08PmTfCtYemQBSe0P/0IpF8+YpAFIKFDQpBEaLICqdQHeTFie63k9SQMkvKU+aBGqQHSzFBQNHOeg8aWU/BmSNEnQndEO/Ptk4IouqY82lUFklRZcCML9Hnn7Ai63Fma4EsQ9H/rb4Z+YbQ3cp0RgirbchZE3segxNlyXmngyw6UGAi+UvZ/whQgvhThUBW0uEE46KAwLSabkzpVqOEYl+IYRXQuhh0/Xj7bRdd1HDt2DKWlpRm3MjpB77RpmYyqD8PDw/B4PGhoaIAgCJicnMTevXszMghmA1mWcfTo0Zy1hCZr3aTEIR6Ps+8rXb+kpATr169n3+fFxUX85je/wZ133olz587hrrvuwhVXXIGLLrrIplTefPPNuO2223DjjTe6Hstzzz2HwcFBDA4O4qWXXsLHPvYxvPTSS5idncU999yDI0eOQBAE7Nu3D1dddVXeSz75RNHDkHusSsIgCAJLhZuZmcG+ffuWDaFZDslqizT/IF1PBA9RFJftwKD+g46OjoR8hWzIQiwWM5IgO9+Llh7D7CZ4fNCiEdcOCU+pD2pMtkVBUylQ9HqhmnezbqOrKZgy4Lg4646BUU6jI/+cPfI58a7f2fLo1g7Jz4AwHtufj/IdGS6hTrpjP4wcmJ0RohIxDI+6aikNksQMjSxLwdH2CFjdDACgL5keiLjDjKoqlgphbkNZsiK9NUUxfxpEgbZQKuEYdEVNmyxQNauhoSHngUx0BDUl77FYDENDQ/D7/fD5fBgaGkJDQwPq6uryUjakauOFF16YMNkxF+DVB4/Hg8HBQfh8PpSXlyeduikIAqqrq/HRj34UV199NW655Rbs3bsXjz/+OL761a/imWeeYdt/29veZpsb4cTTTz+NG2+8EYIg4KKLLsL8/DzOnTuHw4cP4/LLL2ef++WXX45f/vKXuP7663P+GRQExbbKvGBVEgZd19HT04OSkhIW8bwS0NZK/gSm6zpOnjyJWCyWtSciVQcGJTx+vx8HDhyAz+ez+RWyIQsLCws4fvw4tm/fjtraWpBXLNOj6PUYhkfzp6e0hAUy8VHQuqzauiNEn4epC/yFnE9m5Kv9SU2PCR0UiZMqbcmPKQyN9mXWc3wbpZsi4RYNrTseA8Ddp/8PW8bCmGh+grMDQtNsOQr8XRHf0upMaAQ4JYEvZZi/U1XBmtmhsLKRoSrI0BUFalSGvBiDvKSkRRZoIFNbWxuampqWXX+lmJqagizLuPTSSyEIAhYWFhAIBDA6OmorbbjV+TMFNVNu374da9asydE7cAftvCCEsEmRyaZuAlb5IhwOY82aNbjmmmtwzTXXZLzfiYkJtLa2ssctLS2YmJhIuvz1jCJhyD1WJWEQBAEbNmzImdzmvLBTv0J9fT22b9+e9YksWUlC0zT09/fD6/Vi//79rA6abQkCMDo3xsbG0NXVxabzCX/219Cf+obVs6+oBmFQrIhnzaEu8GZH52RKZzmCehD4WRGiI9o5mdHRmbPAP9YdCgFgJwDJzIrpkAWnT8G57EsnfmqWIuydEeCUIltbZDwCAvsYccDdo8D/7toN4aIq0A4I+liJxKDLCmuhVGOGsrD7Z9ZdajLQC2ohApmogTcej9v8EbW1tbY6fzAYxMjICMLhMKqrq5n6kGkA2tLSEvr6+gpipiSEYGBgAJIkYdu2bSk7L5zmSb/fj1gsdThaEcZnXCxJ5B6rljDU1dWBuIwpzgZ8eNPCwgL6+/uxdetWNDY2rmi7biWJaDSKnp4eVvNdqV+BnpgjkQi6u7sTlBDx6juh/virEH0eeCpKoYZj9vwFqi5QUyTnYaB3t3w5Qnew/lRxzbqDCAAWgeAJB3svmqUauF3gk//u3hKZjEAA7mSBhTRRNcDjBXTV6ngQPRBkjhSoDgWBtjuavgU6cpzt0zlVEmCZCkxRUFRGFABYZlRmVLXIQjwUhxxW0iILVH0qxAWVdix5PB7s2rUr6d90SUkJC23SdR2hUAiBQABnzpyBIAis82K5iOaFhQUMDAxgz549eU9QpN6PsrIyXHjhhSmPy0kgFhYWcNddd+FNb8o+6be5uZlFWAPA+Pg4mpub0dzcjMOHD9uWv+Md78h6P68FOM81Rawcq5Iw5BqUMNAMh7179+bExe1ULmZnZzEwMICdO3caJYMV+hUURUF/fz+qq6uxZ8+epK/nx1E7SxKGImCX2Y3ShGGK5FsurUmS7kZHSgB406PkFaGE7UoFX85wqgv2FMdEEmBd/O0/l19vebLwlYEfA5ypUVAVgyB4DJOeoKsgqmKlaSp8AJOhKNDnAMNsyjof+NZJZ/yzqjBPCSUL7LGisowFLRY3VIWowpSFzmeew3KgHQy8+pQvaJqGvr4+1NTUoL29Pe2/aVEUsWbNGlZKkGUZwWAQZ86cYV0GlEDw6gMdYd3Z2Zn396brOkuP3bhxY0avnZ+fx3XXXYfbbrsNN9xwQ9bHcNVVV+Ghhx7CBz7wAbz00kuoqanB+vXrccUVV+Dzn/885ubmAADPP/887r///qz3c95RzGHIC1YtYaDGx1xAFEWcPn0aAHKa4UCJCCEEY2NjOHfuHDNorpQshMNh9Pf3o729fVknuPf6z0N54j722BncJPo8LNDJGREtcTkNdAy1xLVESj6JlSNoyYJoBKIk2pZTY6QgioCmWWOpWapj4p0+/3s6pQe3bAZ+uZtfgW7jK8f+2ShDiJ7EyZKmR0GPho1sC1UBiborDdrivLU8lrgO/zoawKSZOQpOVYGqDUokykiDEpahRg2y0PXcL7Eczp07h/HxcVsgU75AR7uvW7fONhE2G/h8PluXAVUf6N11fX09i0kvROcFzXSor6/P2CgaDAZx8OBB3HnnnXjf+96Xct3rr78ehw8fRiAQQEtLC+655x4oZmnwox/9KN71rnfh2WefxebNm1FeXo5//Md/BGAMzLrrrrtw4MABAMAXv/jFvJed8oqi6TEvEDK8aObmCvsagKIoKxoaRRGPx/H73/8e69atw44dO3Ka4UCz64PBIAgh2LlzJyMRK/Er0DvGXbt2ZSQvxx/7WwAGQZBDxoWLEgQ+myFRDrcuiHLYuqvmSwqUHPCJjvy6NNHR2RWhyRZ5oOqCUylwm/eQaoaE83k3RYHfz329j9mUAXbMfOmAUxPolEjRV2p7bPMw8K+NUk8Cp9Y4sjDkRXMmhBnKRLshqLHRCGhSEV8wyhDpkIXR0VHMzc1hz549GacxZopCTreUZRlDQ0OYnp6Gz+ezqQ/5IEUryXSYnp7Gddddh7vuugtXXXVVzo/tPKAgiVN7Lmgkz374vYXYVcHQ+reHXiGE7D+fx7BqFYZcYH5+HseOHUNtbS3Wrl2b88An6i9obW1lSXMrIQtUqZiZmcnqjrHkpi8i+v27ARlsZgQtSfAjranZiOYvSKVeazKlT0rohNB1wi76giRAjam2dRk5cCELFG5kIdnI6Uw8C6m8CvwyXiUQPF6WtCh4fTZVwPa+5Zj9OTWx7dT5WhqyBMA2NpyGYxnRzrQbImqUImTNIAshGfKSjH3//m+ux8P2aQYyKYqSUSBTtqC+nEKYKQHjIhyNRnHppZdCFEUsLi4iEAigp6cHhBDWeVFTU7Pi77SiKDh69ChaWlqwfv36jF577tw5HDx4EPfffz+uuOKKFR3HqkNRYcgLioQhS4yPj2NsbAx79+7F5ORk1hMrk2FhYQHj4+NYv3492tvbV2xupEYyQRDQ3d2d9UWA6Do0MzBJkERASSxJSKUlLH+BkgeeCNALfrJyhOSVXCdUilxpwjmB0hmy5NZKmdgWCdv6znhn/nRDUx2dZOHel75jXejN2RD6QtB87AVRZPuIaY5Y6EnIgk1dUO0KjjFF0jRH0hhuF1VBCcegyxp0TUc8ZHVDdP0qtWeBD2RKZTjMFWh3ws6dO9mI6HyBtiKHQiF0dXWx70B1dTWqq6uxadMm23jqgYEBVFRUMPUh07IFDYBqb2/PeEDW2NgYPvCBD+CBBx7AZZddltFrizBQJAy5x6olDNmeCPmZE29605sgSdKKRly7gZon29ra2DyIlfgV4vE4ent70dTUhJaWlhVdBMo/9GWE//4L7LHo9UDXZEtxEEXDDGk+9nDGR0EUoCm6LdZZ8kq20gPbLmd8pD4FOhtCT5K3wN/xO4OZ+LkQPOg6zphnJ9w6LL7y4rcAGHkJgtdrmRGpsVFVWLkBHq/dt0D9CR6f3avArUM7HzQu8IqSBTlkmCR5ogAYqoKmqNBlDUpMhRpVEQ/FEQ/F0fjDf0BPjzFcrL6+Hg0NDbYOgnwGMrlhfn4eJ06cKEh3AlXrZFlGR0dHUsLsHE+9tLSEQCCAvr4+6LqOuro6pj6kIt10mmY2AVAjIyP44Ac/iIcffhiXXHJJRq8twgRBTkrORdixaglDNkg2cyJXhIGGPcXjcRw4cAAzMzOIx+NJh0elg1AohGPHjmHbtm05k3srPnIvFh/6DESv8efD9/kDvKpgliu46ZR0XcknQja7H0RJ5OZI8DHP7uOsBUdWA3/RT2ZYdD5OVq5wPk7smjB++fILf2e8H1U22h8dg6CIqtjKEjpnZrRBla0pklz2go0kyIptGZ0qST9vGpJFiRk1NioxFcqSguhcDG/5wwsAwO6ig8Egzp49i8XFRVRXV6OmpgYTExPYsGFDQQKZ/H4/hoeH0dXVteKU1eXA5x5kEmMtCAKqqqpQVVWFjRs3QlVVzM7O4ty5czhx4gTKy8uZ+sC/h5WUWE6ePImbb74Zhw4dYgbEIjIHQbEkkQ8UCUOamJubYymIdGgOhSRJzImcLfjhVNu3bwdgEISpqSk2zS9TwjA1NYUzZ87kZVhP1W1fw8K3PwVREiGZaY5SqQ9KJOZakpB8EtSYCsknQV4y/QxeKbFMwZUjPGUeqFEVRNdt5QjArizwCY2SAESd2Q0ksfxAl9vdXvzOAAAgAElEQVR/2rshkpKFfzc6RqiSwOY68JkJ4UV7+yRfcuDzF/iuB5rKyJEF6lPgzaVWeqNRfmClCFmDzJOFsIJIIIq39b1o+zy8Xi+amprQ1NQEQghmZmZw4sQJeL1ejI+PIxqNoqGhISfpiW6gnRd79+7Ne+dFsvHU2cDj8WDt2rVYu3YtCCEIh8MIBAI4duwYVFVlkyVHRkawa9eujEssx48fxy233ILHH38cXV1dWR9nETDbKovDp3KNVUsYMjlxnD17FpOTk+ju7nbt1ZYkCfF43OWV6WFxcRF9fX3YvHkzOxlR+dPr9bIwGo/Hg8bGRjQ2NqbsGSeEYGhoCEtLS9i3b19eMvcBoOb2v8PCtz8FwIyADscgeS0fgxaLQxBFKxPAvPJ6yjxQluxBTqLPylvgyxEUtBzBShkeETKnRvDqAk8geLgpEcbUSeu5ZGQhAapilBlcIpsp2HMsiMme5sgrCiqfV6E4FAUu54L3KQBgXgVN0aBGVchhBZqsIR6K480v/keSg7ewuLiI4eFhdHd3o6qqKiE9saamJqezG86ePYtAIJByFHausJJWxuUgCAIqKytRWVmJ9vZ2qKqKyclJnDx5El6vFyMjI0x9SCffoaenBx/5yEfwox/9CLt3787psa5OFJMe84FVSxjSga7rOH78OHRdx4EDB5Ke4NIZEpUMU1NTGB4exp49e1BZWWnzK/BhNJs3b0YsFoPf78eJEycQj8dRX1+PxsZGm5tbVVX09/ejsrISnZ2deTetSbfeDfXRu43fS30caYibcyLAShJ8CBM1PEo+CQqnOFgmSDEhyVGX7cZHZwkimYfBbR0nIZAEAUqS1/Pr/+3zXwbRNAiSxAyM/NhpAK7pjM6yhBqxXkMzLSSf1whdklXboC5KuOj8B1aKCBsklVcVdFlHPBTHRf91GMvBLZApWXriyMgImxzZ0NCA8vLyjP62KImNRCI2w2G+oKoqjh49yt5LvhGJRDAxMYH9+/ejoqICkUgEwWAQAwMDkGWZeR9qa2sT3vuRI0fwV3/1V3jyySexbdu2vB/rqkAxuCkvKBKGJKB+haamJrS1taU8OWbjYaAmrFAohAMHDjBzYyq/QmlpKVpbW9Ha2gpN0xAMBjE5OYmBgQFUVVWhuroak5OTaG9vL1gdemhoCFvNNEEArCwhSJJZShCh6TorSXjKPLaShKZobIS1sUzk2iqt3ymo0qCplDRYhMAnCrZyBF+ecJYf3KZV0jFYyTwM9z53l1Fa8PiY3MkbFgFHuSEcAsyyBB/IZFMTZC6jgsu24EkCAGiObAvFNIrKS0ZqoxpVoSmaawnCDekEMrkR1mAwyKLEa2trUV9fj7q6upRqAfUQiKLIBi3lE7keT70cqHmTL/1VVFSgoqICbW1t0DQNc3Nz8Pv9GBwcRElJCWZmZtDW1oa5uTnceeedeOqpp7Bp06a8H+vqQdHDkA8UCYMLaATzjh070jItZUoYqBu9srIS3d3dADLPV5AkyVZPHR8fx9DQEHw+HyYmJiDLMrsTzDUIITZp2XfRRQje91cgmg5NM+ZJqJqRzQAY6YxE05mCwJck+JhoFgfNdVHYhko5Uh3pxdxZjuBJAyUR1rqJ5QrnaSUxARL4yr9+lut+SPQsOB9r4UWIZqcEYPkTjPesQPJ5bWmZTkWBD8CipQleUTB+KlCjRiCTJmsIT0fwR6dfwnIYHR3F7Ows9u7dm1GZobS0lM0d0HUd8/PzCAQCGB4ehtfrtakP7L2YcciVlZUr9hCkA0r0N2/enOA1ygfSiZaWJIl9NoChRvT09OC+++7D6dOncfXVV+PUqVNYv3593uOpiyhiJVi1hMHtxEUvhFNTUyyCOR0kmyrphnA4jJ6eHmzcuJHF1q50eNT4+DimpqZw8cUXo6SkBLFYDIFAgHVc1NXVsdLFSqVgXddx4sQJAMDevXvZ9uo//78Q+PL/MD4HXTdGXCsKRJ8HelTmTI2ipTSEFRs5ECXRGi5lLueNkfy6gN1fwBMFXmmgHgXe+OhUF/gB205PAwB8+alP2kdIm7CpCS4eBhrdzCsKSjhqzOOQrfkPvEfByFlQmaKgMrJgKQrGchXykpGvIIcVXHr0dwn7TzheLpBppWUBURRRV1fHCHU0GrX9zdGpkmNjY1i7dq1tdHK+UMjx1AAQCAQwNDSUcbR0eXk5mpubQQjBK6+8gqGhITz33HN45JFH8PTTy48YL2J5EFIcPpUPrNpoaF3XbZ0Nmqbh+PHjEAQBO3fuzOhkGg6HWS04Ffx+P06dOoWOjg5UV1evOF+BXrwJIdixY4frMWuahtnZWfj9fiwsLKCyshKNjY0JQ3jSgSzL6OvrY336bsc7c8/HmBQoSCKUUBhKOA5BErg2SsO8qGuEkQFLUdChKcbrlWQx0nEtqT+B74BwdkM4lYWo44SikMTwpruf+DgErynZi5bszvsWnEqDGokxdcWmIkRirBXVOUUSsMgBLU1QQhEPxW2fgRy2yhDRuRguO/lfWA58INPmzZvzeqevaRr8fj9OnjwJURRt0cv5uoNeXFxEf39/QaZpAsDMzAxGR0fR1dWVcafHL37xC3zjG9/Av/7rv2Yc6PQGQEGioXc3riH/+8/eUYhdFQw7/uHpYjT0awG0b/qCCy5Aa2trxifT5UoShBCMjIwgGAziwIED8Pl8KyYLsiyjt7cXjY2NKT0WkiSxzgpCCBYXF+H3+3H27FkmlTY2Ni5bulhaWkJ/fz82b96cMohm7d2PYOoLHzLet6ZBKvVB13Qo4ThTFzQNtmmUclhJIBTykgJBtDwMvAlSFAQAJEEN0IilHth/TyxH0OcVYikNPDRCcPcPP2y8D0U2SINu+ha4Tgc1EmXmTsBQE0SfB0TX2YUfMMiAKBkdIzZFgaY1upgdNVljJlH62fCqQiQUxxXDf0j6f8H2bZbA6uvrWcR4PiHLMkZHR7F7927U19cjHA4zA6CiKKitrUVDQwPWrFmTE/NjIcdTA/a20ExJ91NPPYWHH34Yzz77bEFKJqsWRdNjXrBqCQO9wAaDQZw4cYKNjM4GqQgDHddbUlKCffv2sY4KWoLI5oS5uLiIY8eOYcuWLRmddARBYDG4F154oWvpwu1EHggEcPr0aezevRuVlZXL7qfp3kOY+sKHWFuTt6IUxIyTBgDFLEVQomB4GhR4Sz2QwzI0zTI8Sj6LKEg+EUrc+Jx9ooAl1e5h4IkBnRGRrBzBGx3t3REGqfjiY7cYC2gnhPm8Fl6yVILFCESvh52Y5MUwJK/XmBAZ5rsgTAXCbD21lhvraDHZUFa4IV1Gx4MGTdYYWTDmQcQhLylpqQqANdSpra2tIEZYGvW8Y8cOVhZwGgBnZ2cxPT2NkydPJg0/She006MQ46kBI4V1amoqY/8HADzxxBN47LHH8OyzzxakZLKqQewTbIvIDVYtYaC58tPT0xn5FdyQjDBEo1EcPXoUra2taGlpYarCSiZNTk9PY3R0FB0dHSu+myotLUVLSwtaWlrYiXxqagonT55EZWUlGhoamDM+02FVTfceAgBMfvpmEE2Ht6IUSjgGT5kXRCeQlxR4TIIgSqLZPSHDU+qxWi9Nk6QtSprLXzC8Cny3hLV//jEf+8yTCGtda07EZ797AwRTCRDNm0dBNFoolaUwi7zm1QOAu/hDsQgC7P6F+PwiRJ/ZNWF6FGjEM98NwvsUaPcDbZtMV1UArJp+psQyWywsLOD48ePo6OhISiydihcffqRpGiOt1dXVy5JpWhYoxOhtwMiQCAaD6OrqyihDghCCxx9/HE8++SR+8YtfFKRkstpBQIoehjxg1RKGeDyOWCyGAwcOrFgWFQQBTi8I7bTYtWsX1qxZkxNz4/DwMEKhELq7uzOWQpeD80QeCoUwMDCAWCyGyspKTE5OorGxMWOScsHXf4CJT95odkl4oITj8JR6oGsE8VDcVBWMC6SnzCALztZLmhBJSYNXFBHTdGiE2AyOzrbKREJBbEqDsxzxme9cD8CQMilpAACNC1jSYakHgihCkxWoEY4ghKySghLhx1HH2U82TTJqEQMKGrykyzo0RYOuEShhOSNVAbAiwXft2oXq6uq0X5ct3DIdloNb+NHs7CxrFaaDnxoaGhIIweTkJCYnJ7MqC2SDkZERhEKhjKd3EkJw6NAhPPvss3jmmWfy0rVUhAsIQFzC24pYGVYtYSgtLWURzCsFf/F367RYqV9BVVUcO3YM5eXl6OrqyntrmqIoOH36NNavX4+2tjbIsoxAIIDBwUHEYjHU1taisbEx7Rp08zcfx8Qnb4Su6ZBKvczP4C31GMOkzC+2sqSwYVQGeTAuvrQswZckeAXBJ1plBp95OLIORih4TwPvY6BHrgH46wcPQpdViD77V0JeDLNSCmA3KQL2dkjqXwDgUBkS2yedZk9N1qApumkG1aGEFVaWmAsreO+ZI8t+zhS8TF+IC9TU1BTOnj274jt9Z/QyHfzU29sLXdfZwKyFhQUEAgHs3bs372mRNHAqFoulHFqV7LUPPfQQfvvb3+Lpp5/O+8yMIuzQiyWJnGPVEoZ8XHRpMiQhhCkXtAQBZDc8KhqNoq+vD62trVi/fn2uDzkB4XAYfX19uPDCC9HY2AjASP+j/fc0hIbWoCsqKtDY2IiGhoaUd3rN33wcY3f8OYiuw1PmtfkZqMpAZ0f4KnwGaXCoD/KSAskjIipbJQk+tIl6GoDEkoTMtb1S0qAD+PiX/5vR+klLSub1X/R5EsoOcigCySQEcijCvAwApybIKhsGBdhbJmmOAk8WdJ3Yuh/ociUsIxZT0y4/UJw7dw5jY2MFk+nHxsYwMzOD7u7unEaQOwc/0YFZAwMDiEQiaGxshN/vz6rbJ13QNlRN0zIe9U0IwTe+8Q309vbipz/9acajsYtYGUjR9JgXrNq2SsBwc2f4/pPid7/7HRvqQ3PrV1KCAIyBV9SQmekgm2xA70zTNTfSu0C/349gMAhBEGxdF8ne89n/+UEm+1O5HbACiZSwAkEUEjoEAHt7ZYw7ISyp1u986cGZ5siXLD70pSshiCJTBXglgS8ziF4P8xoIksh8CbQ7wmlwlBwqg9OfQDSdRWAbw7WIoTDIOtSYimhYzpgoAMCZM2cQDAaxZ8+evM0PoaAlsqWlpYzvvLPd3+DgIBRFwfbt25n3IRgMAgArXeRqYBY/4XLr1q0ZbVPXddx7770YHR3F448/XpCSyesIBWmr3LmmmvzzOy4qxK4Khu6n/+28t1UWCUMOCMP8/Dxefvll7Nu3D/X19Sv2KwDA+Pg4zp07h46OjoKM/6V3inv27Mn6zjQejyMQCCAQCCAajSYtXRBCcPa2622vlcMKlCXZ1hEAWAZA27KItYwnCnyuAk8MnNMrb/jsH0OQRIiSlURp7cMgLYwMhCK2MoWz1JDsOVpOseVHOMoQ9L1S0iQrGmZlDe1PPow1a9awoU/Lye70YirLcsYZItmAEIKTJ09C13Xs2LEj7yWy5S7esiwjGAwiEAhgaWkJ1dXVrPMiG+JElcLS0lJceOGFGZOFL37xi5idncWhQ4fyTtxehygYYfjhpW8uxK4Khv3P/KpIGM4nckEYxsfHMTY2Bk3T8Ja3vAWCIKw4jOnUqVNQVRU7duzIe41W13XbyT9XFxtauggEApibm2Oli7q6OgwNDQEAtm/fjrG/+iBrf5LDBmEQRQHxkAxBEhAPxZkSAVgEgp9UyROCZEoDAFz7ibdBEEXbUCwAjDjIoYg9U8EkD/QzUSJRrpTCGxrt7ZDs9yU5YTlTTZYUw9Qoa1DiGhYUDdeefQUAbLHLs7OzKCkpYXfQTkMhvbj5fD5s2bIl7xdvGgBVVlaW8cU02/1lMp6aEMI8DrOzs5AkiXkfKioqln09jbKurq7Gxo0bMz7WT3/609B1HQ8//HDev7uvUxSGMNRUk8ffeqAQuyoYDjz36yJhOJ9YCWGgF9p4PI6Ojg4cOXKEzYUAsvMr0CRFGrBTCHMjH+iTr/3R0sX09DTGxsbg9XrR3NzMui4EQcDoR9/P1o+H4pDDCuQlo+XSIA1WsJOyZOQ3AGB+BiBRYaBk4Z0feTNEkygIDlVBkETIixH2/2U8NrwLoikly6EwIxWAFbYE2NMoXdUQOjPDkV5JFYUFRcd1Y6+k/PwikQhTbhRFYa2HFRUV6O/vL1ggk6Zp6OnpKej+Vjqemo7rDgQCCIfDKZWblexP0zTccccdqKysxIMPPph3led1jIIQhh011eSxi8/rtTXnePP//Y+UhEEQhFYAjwNYB+Na/Sgh5NuCINQB+DGAdgCjAK4jhMxlcwyrmjAoipL2DAgesiyzEye9Czly5Aja29uzTq+jSYq82TCfcDM35hORSAR9fX3YuHEj1qxZg0AgAL/fz6YeNjY2ora2Fmc/fr2tfzo8EzEIg4ungUr7YTVRbbj0zztNNUGylAROXQAM74FgXjSsEkTYVWUw9mefJ8F7E5xlBvq8rlmmRiUsQ4lr0AjJyqMAgLUezszMYHp6GlVVVWhtbUV9fX1eTY6KouDo0aNobm4uyLhoRVFY+mqu9qfruk19oAOz6uvrUVJSgp6eHqxbtw4tLS0ZbVdVVXz84x9Hc3Mz7r///iJZSI3CEIbqKvKDN7+xCMNFvzq8HGFYD2A9IeRVQRCqALwC4L0AbgYwSwj5qiAInwVQSwj5TDbHUCQMGRKGUCiEvr4+bN26lWUW6LqOYDCIiYkJhMNhNuwpXfIwMzOD4eHhnIQxpQNqbty1a1dBQmTm5+dZJoUzE0DXdTb6d25uDuXl5azrYvx/3AAAtrt7AExdcKoFomRXEfjneOJA2xzt5CHmaJ+0Lvy8ugHYfQmyy7wLpi5wiggAhBQto/bIZKCBTJs3b0ZJSQkznQK5N/8B1gTITZs2FYRcFmo8NU06pX97NTU12LBhA2pra9MuJ8iyjA9/+MPYtWsX7r777rypdJqmYf/+/WhubsYzzzyTl30UCAUjDN/f3738iq8jvOU/fpNRSUIQhKcBPGT+ewch5JxJKg4TQrZlcwxFwpABYZiamsLw8DA6OztRUVHhmq/gvACmGvZEZ0zMz8+jo6OjIG7qsbExTE9Pr8jcmAlom9+ePXuWNW/S5D+/349AIADAuADGPnsHSqp9lkkxCWEAwK3jVBNitnWNUkc0YZu8agDYywwa55tQlpL4FhwlB40A7xrJTk1wQ6pAJpqXkY78ni6oElWoCZCFHk9NyUlbWxu8Xi/z3KTyjVDE43HcfPPNuOiii/DZz342ryXEBx54AEeOHEEoFCoShjSwvaqKfL97byF2VTC89Te/PQMgwC16lBDyqNu6giC0A/gNgN0AzhJC1pjLBQBz9HGmWNWEQVXVlEOjKKgLfWlpibWspRPGRGv3MzMzCAaDtjRFn8+HY8eOoaSkBFu2bMm7jEk9F5qmFcxJPzw8jMXFRezevTsrtzi9APKlC3L3ZyCaF/fSWouA8ORBXoxBEK3/D0N5sB47SQFgqQN0PaeiQJcr3HKnZ4FoOpS4hqimY0HR8ecTr2b8nlOBKkN79uxZNpApE+NkMlByUqgJkIUeTx2Px3H06FFceOGFCQPVIpEI8z64zVmJRqP4i7/4C1x++eW444478koWxsfHcdNNN+ELX/gCHnjggSJhSAPbK6vIPywzPfj1hkte/F1aCoMgCJUAXgBwLyHkZ4IgzPMEQRCEOUJIVoOTij0/y4AaA6urq7F3r8FY0x0exYfP0GFPfr8fx44dQygUQm1tLZqamgpibuzr60NdXV1BzJR0VLjP50NnZ2fW+/P5fKyGzZSbe76GWbN0UdXYCP9/vxWiJKKk2lBLmKqgEdalYLRQWsfgLDGIJrlQHETC1hIZTlQUqMpAY6rfM7ryckMyZBrIJIoi6urqUFdXB8AIAPP7/RgYGIAsy6xzoKamxvVveHZ2FqdOncoo6nklKPR46lgshqNHj2Lr1q3sM+JRXl6O8vJytLa2so6fmZkZ3HnnnZicnEQ0GsV73/vevJMFALjjjjvw9a9/HYuLi3ndzxsLq3OWhCAIXgA/BfDPhJCfmYunBUFYz5UkZrLdfpEwpMDS0hJ6e3uxadMmNDU1rThfobS0FFVVVRgfH0dnZydUVcXY2BgWFxdRU1PD2g5z2Y5FJeVNmzZh7dq1OdtuMlBD6Pr16zM2j6WCKIqor69nORe0dCHf/bcIh8OorKzEtm3bcPKqqwGAKQy8/8EqZVhqAa9EsGUu5QleTYjKhopw9egfCmJwo4FMK0lTLCsrQ1tbG5sYGQwGce7cOZw4cYK1vFLj5PT0NM6cOYO9e/cWJKFwfn4eJ06cKNh46kyVDDoGvqGhAQ888ABuvPFGNDc344UXXsDTTz+Nd73rXfjSl76Ul2N95plnsHbtWuzbtw+HDx/Oyz7ekFiFsyTMcsM/ABgghDzAPfV/ANwE4Kvmz6ez3kexJOFekpiZmcHp06fR0dGBqqqqnIQxTUxMYGJiIqGeTwjB/Pw8/H4/ZmdnUVpaaitdZItCmxtpp0ehpiNScrJ27VpWfw6Hw6itrWW1e/6C/sLOi+2GSMn+f2gzM7r4DzRNQ39/PyorK9PKBFgpChHI5EzrjMeN+Go6NC3f75EfWlWIWQt0/HY2Q7nm5+dx3XXX4WMf+xhuuOEGtr2enh689a1vzcfh4nOf+xx++MMfwuPxIBaLIRQK4ZprrsE//dM/5WV/BUBBShLbKirJ3+/oKMSuCobLXvmv5bokLgHwWwB9AKi88nkALwH4CYA2AGdgtFXOZnMMq5owaJoGVbXL0LT2Pjs7i87OTvh8vhUPj9J1HYODg4jH49i1a9eyCgK9e/b7/QDAyEOquGUnxsbGMDU1hT179hTkLjHTWOmVgionTnJCa/fUdFpWVsbuDlfyOciyjN7eXjQ1NeVUOUmGQgcy0XHvc3NzWLduHYLBIMLhcN6UL8AaT93V1VUQAy4te6Qav50MwWAQBw8exCc/+UkcPHgwT0eYGocPH8Y3vvGNoochDWwrryDf3ba7ELsqGP7o6MvnPbipWJLgoKoq+vv7UVJSgn379uVkeBT1D9TW1qadSV9RUYGKigq0t7cz49/p06cRjUZZy2ay2jOfFNnd3V2QtDkaY12ogUdzc3M4efKkKznha/eEEEQiEfj9fvT19YEQgvr6ejQ2NmbUdhiNRtHT01OwzApVVW2BWvkGHbKkqiq6urogiiKam5ttuQVDQ0Pw+Xys5XWlvoZCj6deWFjAwMBAVhM8Z2ZmcPDgQdx111246qqr8nSEReQapDitMucoKgymwhCJRNDT04O2tjY0NzfnpASR6zAm3ny1sLCAqqoqVnv2eDw2ctLe3l4wyTwej2Pnzp0FISfU/NfZ2ZmxYqAoCuu6oG2HNDAq2bHTToFCDQCjbX6Fmk6aiZIRjUbZ55eOcTIZzp49i0AggM7OzoL8zVCC2dnZmTHROXfuHA4ePIj77rsPV155ZZ6OcFWhIArD1rIK8p1NOwuxq4Lh8uNHzrvCsKoJg67rbGzuiRMnWN2WkgVN04x0wCwuvH6/H0NDQ3mT6AkhCIVCrPZMW702bdpUEMlc0zT09fWhqqqqYPX8kZERhEKhrNs0eThLF9Q3wpcuqLKTThtjLkDNeIXygNAoZEowM33t7Ows/H4/FhYWEoyTbqD/h4uLiwWZcAmAqSNdXV0ZE8yxsTF84AMfwAMPPIDLLrssT0e46lAwwvBw+/ZC7Kpg+NMTrxYJw/mEpmk4ffo0pqen2QllpX4FWguenZ1FR0dHQST62dlZDAwMYO3atQiFQtA0jUnvVVVVOb+Yx2Ix9Pb2FvQumE4r3LZtW17ICR8Ypes6fD4fotEouru7C+IBSRXIlA/Q6OX169ejubl5RduixkkaGgUgofTDj6feuXNn3gkmsDKPxMjICG644QY89NBDuOSSS/J0hKsShSEMpeXkf7W9sQjDlYP/r0gYzidmZ2cxMjLCHOiEEFaiyObuh+YPeL1ebN26tSB3UNQ/wJsbqWri9/uxtLTEpHdn10A2oBe27du3o7Y2q+yPjEDLLHQgUKHKLNQwmavExFTIJJApF4jH4+jp6UF7e3teWm3puGla+qmpqUE0GkV5eTm2b99eELIwNTWFsbExdHV1ZeyROHXqFG666SYcOnQIBw68sSYevgZQJAxZokgYzjNoSSIXfoVYLIa+vr6c5w8kA+28oC13yS5kbl0DVHrP9K5rZmYGIyMj6OjoKMiFLRqNore3Fxs3bixIhoSbkuFMTCwtLUVDQwMaGxtzojxMTU3h7NmzBesUoGWPZIFFuYaqqjh69Cj7jtGBT42NjXkLhJqYmMDU1BQ6OzszLl0dP34ct9xyCx5//HF0vcGSAl8jKAxhKCkn/19LVuMSXrN45/DR804YVnWXBJVKV0oWFhYWcPz48YLfdafTeeHsGqDSe09PDwRBYCfvVIE5hBBbeFAhXO2FNhvSzgRnGqYzMTEcDiMQCKC/v3/FpZ9cBDJlAtpWWKiyB/W5rF27lo2LpsbJEydOuEYurxTUUNnV1ZWxGtTT04OPfOQj+NGPfoTdu99YLXmrDf9/e2ce1eSdtv8rLFKVNUHAQmUXUSSAWqUu01qpQqJOsY5LX7G1jk57fr622mmdtlrbvuo4o9Y5U9tOp864zCi1vpIAIqL2tR7aKsVhURQUBUXWsC+yZHl+f3iepyAgJCZfCLk/5/SckoXnmxDzXM/3vu/r4gBwFuj0aGoseoehoqICWq0WTk5OBouFsrIy3Lt3DxMnTmRiocvHRPv4+Dx2kl97e7vQ9d7W1iac/Pj3A3hw1Z2fnw8AGDduHJMyi0qlwu3btxEaGsrkPeW36MeMGQMPD49+P+/h0k9/PQs4jkNhYSHa2towYcIEJu8pPynAKhG1P/HUfONkdXU16uvrMXLkSMEzwzZfUxcAACAASURBVJDdluLiYjQ0NBjUUJmZmYl169bh2LFjCAoaWlemgwwmOwyBw0Zwe90DWByKGfJ7VwZ8h8GiBUNqaiq2bNkCBwcHyGQyyOVyeHp69ks48LXu1tZWhISEMBkPq62tRUFBgUmuEB/uend0dISLiwvKy8sFPwAWteeSkhJUVVUhNDSUyU4GbwD1uFv0vGcB79ZpZ2cnlH46OxiyNmQCfhFgUqmUiZsiPxqqT49EfxonH/Xc27dv4/79+wYJsB9//BFvv/02Tpw4AT8/P72eS+gNI8EwnPvUdWgJhvnlV0kwDDT8VINSqURiYiKam5sxb948yGSyXr981Go1rl69CicnJ/j6+jL50u+pudFUcByHqqoq5Ofnw9raWhiZe/jkZ+xj3rhxQ+iiZ3nVbYrRV94wqrq6WihduLi4oKioCBKJRO8xRkPhDZKkUikTAcaHOj3uaCjfOFldXS3s3ri6ukIikXQR57xw12g0CA4O1vvf4oULF/Dee+9BoVAIZRPCpDARDAG2w7k9rv4sDsWMhRV5JBgGGzU1NTh58iSUSiUKCwsxc+ZMyOVyREZGwtbWFrm5ucIVMItGPP5E2l9baWNQX1+P69evCzsZD5/8+L4HfdwSHwXrjAYAQsDSw7kepkCtVqOyshKFhYWwsrIStt0fPvkZG97qOTQ0lMnnht+tMXY8dWfHydraWqFxUiKR4O7duxCJRAaN2545cwaffPIJEhMTey2bEEaHmWD4s2Ro7RbFVl4jwTCYaWtrw7lz56BQKHDx4kV4eXmhoKAAf//73xEZGWny42s0Gly5coXpTgbvpNjbifRht0QXFxfBLdGQXYH29nbk5ubC09OT2Zc23xgXGhrKpNmQt5YODAyEWCwWpi5qampgZ2cnCDBjCRe+R4J34GSxW8MynpqP6i4uLgbHcRg9erTejZMnT57Erl27kJSUZDLhX1JSgri4OFRWVkIkEmHNmjVYv369SY5lRjARDP62w7md4qElGBZXkWAwCziOw+7duxEfH4/p06cjPT0d7u7ukMvliI6Ohpubm9FP5sZsbuwPfB24qamp306KOp0OdXV1wshm59JFf7a/ewuQMhUDUfboy5Dp/v37ggDTaDRC3d7R0dGgzxQ/GmpjY9Pv7JLHhY+nZtVQqdPphB0pb29vvRsnExISsG/fPiQlJZn0c1deXi5krDQ1NWHSpElQKBQYP35oWRbrCTPBsN3Fl8WhmLFUdX3ABYNFj1X2lwMHDuDWrVv48ccfhfTKgoICKBQKxMXFgeM4REdHQyaTGaWRra6uTrCqZjX+xjfiSaXSfq/fysoKEokEEomkS0xyVlYWrK2tBfHQk2dDbW0tbty4wSzdUqvVIi8vDyNGjGB2IuVf46MCj0aMGIExY8ZgzJgx0Gg0qKmpQUlJCZqamuDo6CjYLfenpMCXdhwcHJjtSLGOp+btrPnxV+CXNNfOjZM5OTkAHjROisViODo6wsrKCvHx8Thw4ABSUlKMWjbpidGjRwtOqA4ODggODkZpaamlCwYmcAAoe8r40A5DP9Bqtb1+YXMch8rKSiQmJiIxMRFlZWWYPXs2ZDIZJk+erHftuLS0FKWlpUxq68Avsc3u7u546qmnjPZ729raugUV8VfOvAufIQFShsCP+Bn7NT4K3pDJ0NfIcVyXqQtbW9tHJkVqNBrhNbIwDgPYx1NrtVpkZ2f3+zXy5bP//Oc/ePfdd+Ht7Y3q6mqkpaUxsTTvTHFxMWbNmoWrV68yuQgYxDDZYfC1Gc597OzD4lDMiKvJH/AdBhIMRqapqQmnT5+GUqlEVlYWpk6dCplMhmefffaRAoDv9uZn81k2qZm6JKDRaFBbW4uqqiohKGvs2LFwdXU1+evk3SL9/PyYRFMDpumR4Ov21dXVUKvVXQSYWq1GdnY2vL29mZSvAPbTF7zo8/T01Ptkz3EcvvrqKyQmJmLSpEn4/vvvIRaL8dFHH2HatGkmWvEvNDc341e/+hXef/99xMbGmvx4gxxmguFDJx8Wh2LGq7UkGIY0arUa6enpUCgUOH/+PPz9/RETE4N58+Z1mfnnxzQdHR2ZTQnwW8msSgJ8bd3KygoeHh5C019PKZHGgrVbJCtDJr50wdftOzo6MGbMGHh7ezNp4rx79y5qamqYTV/wvg6GCCKO47Bv3z5cuHABx48fF0T73bt3YWtra/KdBrVaDblcjrlz52LDhg0mPZaZwEQw+Ng8wW129GFxKGasrisgwWAp6HQ6XLlyBQqFAqdOncKIESMQHR2NCRMm4IMPPsDhw4fh68umSYf3dJBKpUy2ktVqNXJzczFq1Khus+6dUyI5jutiVf04wol1oBNvyMQHj7EQfc3NzcjNzYW3tzdaW1tRU1Nj0qwGPp66ubkZISEhTJpG29vbkZ2dbdAOEd+snJ2djaNHjzIpfz18/JUrV0IsFmPv3r1Mjz2IYSIYvG2e4N538GFxKGasrSfBYJFwHIe7d+9iz549OHz4MEJCQjBjxgzI5XKEhoaa7It4IMoe+gRIdXR0CH0Pra2twsimvjkDZWVlKC0tZSaI+EY8FxcXZoZMvU0m8FkNKpUKarUaYrG4m923IQxEPDVvAmWIC6dOp8P27dtRVFSEQ4cOMSmbPEx6ejpmzpzZxap6+/btiImJYb6WQQQzwbDJ3ofFoZjxRgMJBovl4MGD+Oqrr3Ds2DGMGDFCMIsqKCjA9OnTMX/+fEyfPt1oX3R8EJC9vT38/f2ZfOHzoVyGlAS0Wq0wsllfXw97e3uhdNHbtjt/BdzY2IiJEycy2y7PycmBl5cXs0a66upqFBYW9jmZwPeOqFQqNDY2wsHBQZi60Kd0wXEcrl27xnRUk0/VNMQESqfT4cMPP0R1dTX279/PpExD9BsmgmGM9RPcO/beLA7FjHWNN0gwWCppaWmYMWNGt+3y9vZ2fPfdd1Aqlfjhhx8wYcIEzJ8/H3PmzDHYEKetrQ25ubnw8vJiZo5kzAApjuPQ1NQElUqFmpoaYWSz87Y7H5IlEokwbtw4Jie1zoZMLHwkgAez/ffu3dN794TjODQ2NgrvYX9LF509D1iNara0tCA3N9egsWKdTod33nkHWq0Wn3/+ORPRSOgFM8GwceTQEgxvNpFgIB6BTqfDzz//DIVCgTNnzkAikUAul0Mmk8Hd3b1fX9584x+r6G3gQUOZSqUyWYBUT9vu9fX1kEgkzE5qvLMhq4ZKwLjTF21tbVCpVN3GXjuXLvhSi0QiYZazwL+vEydO1LsZV6vV4q233sKIESOwd+9eJj0WhN4wEQxPWT/BvTViaGWDbGy+SYKB6B98B75CoUBycjLUarUQktXbFbVKpcKtW7eYNf4NhJNiS0sLsrOzYWtrC61WC2dnZ8Gq2lRXl7whE8v39datW7h//75Jmg21Wq0Q082XLlxcXFBWVsbUspsvYYWGhurtGKnRaPDGG2/A09MTO3bsILEweGEiGLysn+DWDx9aguGdFhIMhAFwHAeVSoWkpCQkJibizp07eO655yCTyTB16lSIRCIcPnwYEyZMYDYnPxABUg9HU+t0OtTX1wtW1cOHDxf6HozV/Pi4hkz6wnEc8vPzAYBJqYXjONTU1ODatWuwtrbuMvZqSnHEJ4dKpVK9S1hqtRqrV6/G+PHjsXXrViafPcJgmAmG//cEG5M2VvzhfiEJBuLxuX//PtLS0qBQKPDzzz9j+PDhcHZ2xqFDh0xufwsMTIAUn6jZW9gRx3FdRjaBXyyEDc07YB1axfcPjBw5kpkIezieurNjZ3t7OyQSCVxdXeHk5GS0q/iamhoUFhZCKpXq7W7a3t6OV199FVOnTsWmTZtILAx+mPyBPK2e4N4YYoLhg1YSDIQRqa+vx5IlS+Dr64snnngC58+fh7e3N2JiYhAdHQ2JRGL0L9Tm5mZcvXrVoNE3Q6mqqkJRUZFeJ5iOjg6hZt/W1iaMGzo7O/f5nrAyZOqMRqNBbm4uXF1dmfUP9BVPrdVqhamLhoYGODg4CDHThu5iqVQqFBUVGWQv3draihUrViAqKgpvvvkmiQXzgJlgWGvHxiKdFR+23SLBQBiP1157DXK5HC+++CKAX8yEEhIScOrUKQwbNgzz5s2DXC43SnMg6wApwDgNlT2d+HobNxwIQ6aBGNXUN566p8kVfuqiv6ULPlMkLCxM779lS0sLli1bhtjYWLz++uskFswHJn+oJ62e4NYMMcHwEQkGwphwHNfrFyfHcSgtLYVSqURiYiJqa2sxe/ZszJ8/H2FhYXpfNfPmSKGhocxq+Tdv3kR7e7tRr/J7GjfkSxe2traCIZO3tzfTkkBAQABcXV1NfjzAOPHUD5cuOhtG9fS3KisrE9xG9S3vNDU1YenSpVixYgVeffVVEgvmBSPBYMe9NmxoCYb/ab9NgoEYGBoaGpCSkgKlUom8vDw888wzkMvlmDlz5iO3hjmOw+3bt9HU1MTMHImv5Q8fPhwBAQEmPUHwIU+VlZVoamqCWCyGv78/7O3tTX5i4v0HgoODmfSeAKaJp354B4c33eJLFyUlJVCpVJBKpXp/furr6/Gb3/wGr7/+Ol5++WWjrJdgChPBMNrKjnvVdmgJhh0dAy8YLHb26NtvvxWuVDMzM7vct2PHDgQEBCAoKAinT5/u8flFRUWYOnUqAgICsGTJEnR0dLBYttFwcnLCsmXLEB8fj8uXL2PRokU4deoUZs6ciVdeeQXffvstGhoaujxHp9MhLy8PGo3GoC97Q1Cr1cjKyoKLiwsCAwNNftLmJyu0Wi3Gjx8PDw8PFBcX4+LFi8jPz0dNTQ10Op3Rj9vQ0IDc3FxMnDiRmVioqqrCrVu3EBERYdQodd5Ya/z48Zg2bRq8vb3R0tKCrKwspKeno6SkBGPHjtX781NTU4PY2FisX7/epGIhNTUVQUFBCAgIwB//+EeTHYcwHRwALccNqf8GAxa7w8AnJ65duxa7du3C5MkPhNu1a9ewbNkyZGRkoKysDHPmzMGNGze6fbn95je/QWxsLJYuXYrf/e53kEqleP311wfipRgVnU6H//znP1AoFEhLS4OzszNiYmLwzDPP4K233sLOnTsRERHBZC1tbW3IycnpVw6FsejNkKnzyGZtbS1GjhwpjBs+7tgqf5VvyEihobCOp+Z3phobG+Hq6oqamhq0tbX1Oy+kqqoKixcvxubNm7FgwQKTrVOr1WLs2LE4c+YMvLy8MGXKFBw9ehTjx4832TEtDCY7DB5WdtxKG08Wh2LGn9RFA77DYLEm68HBwT3erlQqsXTpUtjZ2cHX1xcBAQHIyMhAZGSk8BiO4/Ddd9/hyJEjAICVK1di69atQ0IwWFlZYfLkyZg8eTI++eQT3L59G//85z8xb948hIaG4syZM7Czs0NwcLBJpwX4EzfL7fnOhkwP1/KtrKwgFoshFovBcRyam5uhUqmQlZUFKysroe9BX6+CyspK3LlzBxEREUyCsoBf4qnDw8OZ7BJ1Dq4KCwuDSCTCU089JZQuKisrUVBQ0KsIKy8vx+LFi7F9+3bMmzfPpGvNyMhAQEAA/Pz8AABLly6FUqkkwWBucIB2yFzeDh4sVjD0RmlpKaZNmyb87OXlhdLS0i6PqampgbOzs9Cs1dNjhgIikQh1dXVITk7G6dOn4evri+TkZCEFcNasWZDJZIiMjDSqL0HnaGpDm/D0hT9xh4eH99nEKRKJ4ODgAAcHB/j5+aG9vR0qlQoFBQWCV0F/EiJLSkpQVVWFiIgIJr4OneOppVIpk/FQ3nhKJBJ1S7nsnAnysAgrKytDVlYWZsyYgQ8//BB79uzB7NmzTb7e0tJSPPXUL/P7Xl5euHTpksmPSxgXviRBGJchLRjmzJmDioqKbrdv27YNCxcuHIAVmR8qlQoKhUKIbX7llVfwyiuvoLW1FWfOnME333yDjRs3Ijw8HDKZDM8///xjneT56QvWV9wqlcrgE7ednR28vLzg5eUl2CyXlpbi+vXrcHR0FBr++Kt5/sTd1NSEsLAwZlf5N27cgFarxcSJE5lMFvApl8OGDeuzWfVhEVZVVYW8vDxs2LAB1tbWSEpKAgDMnDlzQKKqCfODdhiMz5AWDGfPntX7OZ6enigpKRF+vnfvHjw9u9bCJBIJ6uvrodFoYGNj0+NjhgrR0dE93j58+HAsWLAACxYsgFarxY8//gilUomdO3fC09MTMpkM0dHRGDVqVL9OThzHobi4GPX19YiIiGB2EuUzGsLDw41yxW1tbQ03Nze4ubmB4zg0NDQIyZ12dnYYNWoUGhoaIBKJEBoayvTEbWtri+DgYCbHfNyUy/r6eiQlJeHo0aMIDQ3F+fPn8b//+7/o6OgwaVmiP//+icEP7TCYBotteuR59tlnuzQ95uXlYfny5ULT4/PPP4+bN292O4EtXrwYixYtEpoeQ0ND8cYbbwj3L1myBAUFBQAefPk5OzsjOzu72/F9fHzg4OAAa2tr2NjYdJvYMDc4jsP169ehUChw8uRJWFlZITo6GjKZrNerTJ1Oh4KCAnAch3HjxjHZKtfpdLh+/TpsbGyYGTLxrphqtVoQD7xVtamOPxDx1FqtFleuXBH8K/Tl2rVrWLVqFQ4ePIjw8HATrLB3NBoNxo4di3PnzsHT0xNTpkzBkSNHMGHCBKbrGMIwaXoUiUSpANgYmbCjmuM40zbx9IHFCoaEhASsW7cOKpUKzs7OCAsLE0Yot23bhn/84x+wsbHB3r17havsmJgYfP3113jyySdx+/ZtLF26FLW1tQgPD8e//vWvXmvfGzduhJOTE7Zs2dLtPh8fH2RmZjIz6WEJx3GoqKgQzKIqKirw/PPPQy6XC7sIjY2NuHTpEgICAuDj48PshMbakIk/plgshre3Nzo6OoSEyJaWli5W1cYSTFqtFjk5OUztpfljurm5wctL/zn4nJwcrF27FkeOHEFISIgJVtg3KSkpePPNN6HVarFq1Sq8//77A7KOIQq5bJkxFisYWMFxHMaMGYPvvvsOgYGB3e4fyoLhYRobG5GamorExERkZ2cjPDwcmZmZeOONN/Daa68xWQNvu8wyKEutViM7O7vXY+p0OtTV1Qkpmw8bHRl6zJycHDz55JPMXqdGo0F2drbBx8zMzMS6detw7NgxBAUFmWCFxCCABIMZQ4LBxFy4cAEbNmzotdTg6+sLFxcXiEQirF27FmvWrGG8woHh2rVrWLhwIaRSKW7cuIHAwEDIZDLMmzfPZGOUra2tyMnJYWq7zHtJ+Pn5YdSoUX0+np8WqKqqEjIa+NJFfz0aOjo6kJ2dDR8fH2b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+ "text/plain": [ + "
" + ] + }, + "metadata": { + "tags": [], + "needs_background": "light" + } + } + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "VpjQBORX5bNt" + }, + "source": [ + "## Finding global minimum using gradient descent\n", + "\n", + "### For this example the gradient descent algorithm is simplified to\n", + "\n", + "$$\n", + "\\begin{bmatrix}\n", + " x^{t+1} \\\\ \n", + " y^{t+1}\n", + "\\end{bmatrix}\n", + "=\n", + "\\begin{bmatrix}\n", + " x^{t} \\\\ \n", + " y^{t}\n", + "\\end{bmatrix}\n", + "-\n", + "\\lambda\n", + "\\begin{bmatrix}\n", + " 2x^{t} \\\\ \n", + " 2y^{t} \\\\ \n", + "\\end{bmatrix},\n", + "$$\n", + "\n", + "### where $t$ is the gradient descent iteration. " + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "rtT6_Mdg5bNu" + }, + "source": [ + "# Conclusion\n", + "\n", + "### Gradient descent is a first order (requires first derivative) optimization algorithm used to minimize a given objective function. The algorithm depends on the initial value and the learning rate. The idea behind gradient descent is that it takes a seqeuence of steps to go from the starting position to a local minimum. An initial value that is somewhat close to the global minimum is ideal. Too small a learning rate makes it more likely for the algorithm to get stuck at a local minimum. Whereas too high a learning rate makes it more likely that the algorithm will skip over the global minimum. As we discussed in this notebook, the gradient descent can be applied to any first differentiable function (single or multiple variabe) to approximate the minimums (can be local minimums) even if analytical ($f'(x) = 0$ solve for x) solutions are difficult." + ] + }, + { + "cell_type": "code", + "metadata": { + "id": "yE6Tc3m7EMSO" + }, + "source": [ + "" + ], + "execution_count": null, + "outputs": [] + } + ] +} \ No newline at end of file From 830590ccac4b4e7574808939c73a14d2f507da71 Mon Sep 17 00:00:00 2001 From: Rajesh1505 <87649352+Rajesh1505@users.noreply.github.com> Date: Tue, 7 Sep 2021 12:27:06 +0530 Subject: [PATCH 2/2] Delete Copy_of_Guided_Project_Gradient_Descent.ipynb --- Copy_of_Guided_Project_Gradient_Descent.ipynb | 712 ------------------ 1 file changed, 712 deletions(-) delete mode 100644 Copy_of_Guided_Project_Gradient_Descent.ipynb diff --git a/Copy_of_Guided_Project_Gradient_Descent.ipynb b/Copy_of_Guided_Project_Gradient_Descent.ipynb deleted file mode 100644 index 89dc2ca..0000000 --- a/Copy_of_Guided_Project_Gradient_Descent.ipynb +++ /dev/null @@ -1,712 +0,0 @@ -{ - "nbformat": 4, - "nbformat_minor": 0, - "metadata": { - "kernelspec": { - "display_name": "Python 2", - "language": "python", - "name": "python2" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 2 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython2", - "version": "2.7.12" - }, - "colab": { - "name": "Copy of Guided Project - Gradient Descent.ipynb", - "provenance": [], - "collapsed_sections": [] - } - }, - "cells": [ - { - "cell_type": "markdown", - "metadata": { - "id": "_wfP6xtQ5bNo" - }, - "source": [ - "# Gradient Descent for Optimization " - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "M88APx1X5bNp" - }, - "source": [ - "## Introduction" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "hWZ1CROr5bNp" - }, - "source": [ - "### Gradient descent is an algorithm used to the find local minima of any differentiable function. More formally, given a differentiable function $f(x),$ the gradient descent algorithms helps us compute $x^*$ such that $f'(x^*) = 0$ and $x^*$ is a minimum of $f(x).$ A function can have many local minima $x_{1}^{*}, x_{2}^{*}, \\ldots, x_{k}^{*},$ the gradient descent algorithm will converge to one of them depending on the its starting position and learning rate (discussed below). \n", - "\n", - "### The name \"Gradient Descent\" hints at how this algorithm works. The algorithms requires 1) knowing the $\\textbf{gradient}$ (partial derivatives) of the function and 2) using the gradient to determine the direction of steepest $\\textbf{descent}.$ The idea is that we will begin somewhere on the function, for example $f(x_{1})$, and then climb down the function as quickly as possible towards the first valley (local minimum) where $f'(x^*) = 0.$ The gradient descent algorithm essentially describes the sequence of steps to take to go from $x_{1}$ to a local minimum $x^*.$\n", - "\n", - "### Gradient descent (or a variation) is very commonly used to train machine learning models by minimizing some objective function. Many of the objective functions in machine learning are hard to minimize analytically, but we can approximate the minimum using gradient descent. " - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "8QfdtIOD5bNp" - }, - "source": [ - "## Algorithm intuition \n", - "\n", - "### Suppose we have a single variable function $f(x)$ that has a single global minimum (for example a parabola that opens upwards) at $x^*.$ Our goal is to approximate $x^*$ through an iterative algorithm. The first step is to pick a starting point (initial value) for the algorithm, $x_{1}.$ We will randomly guess $x_{1}$ and note that either $x_{1} < x^*$, or $x_{1} > x^*$ (we can get really lucky and have $x_{1} = x^*,$ but this is very unlikely). Since $x^*$ is the global minimum, we know that $f(x^*) < f(x_{1}),$ that is our starting point is above the minimum. Starting at $x_{1}$ we want to take a sequence of steps to get down to $x^*.$ The gradient descent algorithm characterizes the set of steps to take to get from $x_{1}$ down to $x^*.$\n", - "\n", - "### Without loss of generality assume our starting position $x_{1} < x^*,$ and let us discuss how to get down towards $x^*.$ Recall that we can compute the gradient of $f(x)$ since we assume the function is differentiable. Suppose we find $f'(x_{1}) < 0,$ that indicates that if we take a step right to $x_{2} > x_{1}$ then we will move down the function since $f(x_{2}) < f(x_{1}).$ This is exactly what we want (moving down the function), so we want to take a step to the right of $x_{1}.$ But how large of a step should we take? Well it makes sense to say the step size will depend on the steepness of the descent. The steeper the descent at $x_{1}$, the larger the step size should be as it indicates we have a long way to go before getting to the minimum. More formally the step size will be proportional to the gradient at $x_{1}.$\n", - "\n", - "### Once we get from $x_{1}$ to $x_{2}$, we repeat the same logic as above. Suppose $f'(x_2) < 0$ again, so we need to take a step towards $x_{3} > x_{2}$ to further go down the function. Again our step size will be proportional to $f'(x_2).$ Repeating this process will result in a sequence of steps $x_{1}, x_{2}, \\ldots, x_{T}.$ For large values of $T$ we expect $x_{T} \\approx x^*.$ The diagram below more formally describes the intuition behind gradient descent." - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "2buGN5YadfFV" - }, - "source": [ - 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- ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "UJ-LpPwR5bNr" - }, - "source": [ - "### The diagram above formally shows a single step of the gradient descent algorithm from $x_{1}$ to $x_{2}$ To determine $x_{2}$ we take a step to the right of $x_{1}$ that is proportional to $f'(x_{1}).$ Mathematically speaking, the sign of $f'(x_{1})$ indicates the direction of the steepest ascent at $x_{1}$ (magnitude of $f'(x_{1})$ is measure of steepness), but since we want to descend (its called gradient $\\textbf{descent}$) we use $-f'(x_{1}).$ Gradient descent relies on a parameter $\\lambda$ called the learning rate, let us talk about this more. " - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "vbKscXZL5bNr" - }, - "source": [ - "### Thinking about the learning rate \n", - "\n", - "### The learning rate $\\lambda$ and the steepest descent $-f'(x_{1})$ together determine the step size towards the minimum. Hence the learning rate determines the size of the steps. If $\\lambda$ is large then we will take large steps down towards to the minimum. Similarly if $\\lambda$ is small it will take longer to converge towards the minimum as the step size is smaller. Does this mean we should pick a really large $\\lambda$ to coverge fast towards $x^*?$ No, this is not a good idea. $\\lambda$ too large or too small can cause covergence problems as illustrated by the diagram below." - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "y4DwrV3gd21v" - }, - "source": [ - "![LearnRate.png](data:image/png;base64,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)" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "Fe_mT9Yc5bNr" - }, - "source": [ - "### Note that $J(w)$ is the function that we want to minimize in the above diagram. On the left figure $\\lambda$ is very large which leads to taking very big steps. These big steps essentially have trouble locating the minimum because they are jumping over it. On the right figure $\\lambda$ is very small leading to tiny steps towards the minimum. The algorithm finds a minimum, but its only a local minimum (global minimum is ideal). For the right figure imagine the step size was a bit larger, then the algorithm could jump over the local minimum and possiblly converge into the global minimum. \n", - "\n", - "### So how you do pick the best $\\lambda$? This is often done using \"cross validation\" which will be discussed later on." - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "sSDFRS9Y5bNr" - }, - "source": [ - "## Gradient descent algorithm \n", - "\n", - "### Single variable\n", - "\n", - "### Suppose we have a single variable and differentiable function $f(x).$ Given a initial value $x_{1}$ the gradient descent describes the steps required to coverge towards a local minimum $x^*$ such that $f'(x^*) = 0.$ In the above section we determined that $x_{2} = x_{1} - \\lambda f'(x_{1}),$ where $\\lambda$ is the learning rate parameter. This formula can be generalized to $$x_{t+1} = x_{t} - \\lambda f'(x_{t}),$$ for iteration $t.$ Given initial value $x_{1}$ and large number of iterations $T,$ this algorithm will generate $x_{1}, x_{2}, \\ldots, x_{T},$ where $x_{T} \\approx x^*.$ That is $x_{t+1}$ converges towards $x^*$ as $t$ gets very large. Notice that at convergence $f'(x_{t}) \\approx 0$ and hence $|x_{t+1} - x_{t}| \\approx 0.$ Therefore a common stopping criteria for gradient descent is to iterate until $|x_{t+1} - x_{t}|$ is a very small number. For example we can keep iterating gradient descent until $|x_{t+1} - x_{t}| < 0.001.$\n", - "\n", - "### Multiple variables\n", - "### Consider a multiple variable and differentiable function $f(x_{1},x_{2},\\ldots, x_{n}).$ Our goal is to apply gradient descent and find a minimum $(x_{1}^{*}, x_{2}^{*}, \\ldots, x_{n}^{*}).$ This function has partial derivatives stored in the gradient vector $(\\frac{df(x)}{dx_{1}}, \\ldots, \\frac{df(x)}{dx_{n}}).$ The direction of the gradient vector indicates direction of steepest ascent, and the length of the gradient vector is a mesuare of the steepness. We can easily generalize the gradient descent to multiple variables as follows:\n", - "\n", - "\n", - "$$\n", - "\\begin{bmatrix}\n", - " x_{1}^{t+1} \\\\ \n", - " \\vdots \\\\\n", - " x_{n}^{t+1}\n", - "\\end{bmatrix}\n", - "=\n", - "\\begin{bmatrix}\n", - " x_{1}^{t} \\\\ \n", - " \\vdots \\\\\n", - " x_{n}^{t}\n", - "\\end{bmatrix}\n", - "-\n", - "\\lambda\n", - "\\begin{bmatrix}\n", - " \\frac{df(x_{1})}{dx_{1,t}} \\\\ \n", - " \\vdots \\\\\n", - " \\frac{df(x_{n})}{dx_{n,t}} \\\\ \n", - "\\end{bmatrix},\n", - "$$\n", - "### where $t$ is the gradient descent itteration. Now the stopping criteria can depend on the euclidean distance between the now and previous itteration, that is stop if $\\sqrt{(x_{1}^{t+1} - x_{1}^{t})^2 + \\ldots + (x_{n}^{t+1} - x_{n}^{t})^2} < 0.001.$" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "UOFaRc_l5bNr" - }, - "source": [ - "## Example: Minimizing single variable function\n", - "\n", - "### Consider the following single variable function $$f(x) = 0.1x^2 + sin(0.1x^2)$$ and suppose we find its minimum using gradient descent. Gradient descent requires us to compute the first derivative which is $$f'(x) = 0.2x + 0.2xcos(0.1x^2).$$ The plot for f(x) is shown below." - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "CP6wYY7celwj" - }, - "source": [ - "# Matrix computations\n", - "from numpy import *\n", - "\n", - "# Plotting\n", - "from matplotlib.pyplot import *\n", - "\n", - "# Change size of figures\n", - "fig_size = [9,7]\n", - "rcParams[\"figure.figsize\"] = fig_size" - ], - "execution_count": null, - "outputs": [] - }, - { - "cell_type": "code", - "metadata": { - "id": "W-gSocTW5bNs", - "colab": { - "base_uri": "https://localhost:8080/", - "height": 458 - }, - "outputId": "b79a3def-4fad-408d-a604-280ef46e6cec" - }, - "source": [ - "# Define function f(x)\n", - "def f(x):\n", - " \n", - " # f(x) = 0.1x^2 + sin(0.1x^2)\n", - " return 0.1*x**2 + sin(0.1*x**2)\n", - "\n", - "# Plot function on given range\n", - "\n", - "# Second arguments allows for seperate points to be ploted on f(x)\n", - "def plotf(x, xdots, label):\n", - "\n", - " # Compute y-values\n", - " y = f(x)\n", - "\n", - " # Plot (x, f(x))\n", - " plot(x,y)\n", - " xlabel(\"x\")\n", - " ylabel(\"f(x)\")\n", - " title(label)\n", - " \n", - " # Plot points on f(x)\n", - " plot(xdots, f(xdots), 'bo')\n", - " show()\n", - " \n", - "# Plot f(x) from [-10,10]\n", - "x = arange(-10, 10, 0.1)\n", - "plotf(x, np.array([]), \"Single Variable Function\")" - ], - "execution_count": null, - "outputs": [ - { - "output_type": "display_data", - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": { - "tags": [], - "needs_background": "light" - } - } - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "QMkG5tTU5bNs" - }, - "source": [ - "### Notice that f(x) has a global minimum at x = 0, but there are also seem to be two local minima near -5.5 and 5.5. Ideally we want to be able to start anywhere from [-10,10] and use gradient descent to go down towards the minimum of 0. We will see that finding the global minimum depends on initial starting point and learning rate. " - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "gZ0tTKsS5bNs" - }, - "source": [ - "# Derivative of f(x) is f'(x) (denoted by df below)\n", - "# f'(x) = 0.2x + 0.2xcos(0.1x^2)\n", - "def derivative(x):\n", - " return 0.2*x + 0.2*x*cos(0.1*x**2)" - ], - "execution_count": null, - "outputs": [] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "MyE6oBn95bNs" - }, - "source": [ - "### Now that we have defined $f(x)$ and $f'(x)$, let us run gradient descent for different initial values and learning parameters and try to compute the global minimum. " - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "D05eR7HO5bNs" - }, - "source": [ - "# Gradient Descent \n", - "def grad_descent(derivative,x_prev,learning_rate):\n", - "\n", - " # Deciding when to stop the algorithm\n", - " epsilon = 0.001\n", - "\n", - " # Iteration number\n", - " grad_iter = 1\n", - "\n", - " # Gradient descent update step\n", - " x_next = x_prev - learning_rate*derivative(x_prev)\n", - "\n", - " # Update the sequence where we store all the x_next\n", - " sequence = np.array([])\n", - " sequence = np.append(sequence,x_next)\n", - "\n", - " # Start my iteration \n", - " while abs(x_next - x_prev) > epsilon :\n", - "\n", - " # Setting x_prev to x_next\n", - " x_prev = x_next\n", - "\n", - " # Updating x_next \n", - " x_next = x_prev - learning_rate*derivative(x_prev)\n", - "\n", - " # Update sequence\n", - " sequence = np.append(sequence,x_next)\n", - "\n", - " # Update iteration\n", - " grad_iter = grad_iter + 1\n", - "\n", - "\n", - " return x_next,sequence,grad_iter" - ], - "execution_count": null, - "outputs": [] - }, - { - "cell_type": "code", - "metadata": { - "id": "wAKOajaY5bNs", - "colab": { - "base_uri": "https://localhost:8080/", - "height": 458 - }, - "outputId": "484804f9-be13-41c0-84ae-3df2a96fec4e" - }, - "source": [ - "# Output vector (min x-value, (x_1,..,x_T)) from gradient descent\n", - "\n", - "grad_output = grad_descent(derivative,5,1)\n", - "plotf(x,grad_output[1],\"Gradient Descent with alpha =1 and start point = 8\")" - ], - "execution_count": null, - "outputs": [ - { - "output_type": "display_data", - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": { - "tags": [], - "needs_background": "light" - } - } - ] - }, - { - "cell_type": "code", - "metadata": { - "colab": { - "base_uri": "https://localhost:8080/" - }, - "id": "NVHYYscYcYQq", - "outputId": "d56ca718-f4a7-43d0-e696-2da7c9a64eab" - }, - "source": [ - "grad_output[1]" - ], - "execution_count": null, - "outputs": [ - { - "output_type": "execute_result", - "data": { - "text/plain": [ - "array([4.81090413e+00, 4.50012309e+00, 3.99507105e+00, 3.21624014e+00,\n", - " 2.24427660e+00, 1.40230777e+00, 8.46789923e-01, 5.08509157e-01,\n", - " 3.05139493e-01, 1.83086341e-01, 1.09852011e-01, 6.59112224e-02,\n", - " 3.95467347e-02, 2.37280409e-02, 1.42368245e-02, 8.54209473e-03,\n", - " 5.12525684e-03, 3.07515410e-03, 1.84509246e-03, 1.10705548e-03])" - ] - }, - "metadata": { - "tags": [] - }, - "execution_count": 28 - } - ] - }, - { - "cell_type": "code", - "metadata": { - "colab": { - "base_uri": "https://localhost:8080/" - }, - "id": "9inbJKVjQAgd", - "outputId": "16ca7452-f3d4-404a-90c9-7b9c0da8f44c" - }, - "source": [ - "grad_output[2]" - ], - "execution_count": null, - "outputs": [ - { - "output_type": "execute_result", - "data": { - "text/plain": [ - "20" - ] - }, - "metadata": { - "tags": [] - }, - "execution_count": 33 - } - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "6lN2-cxr5bNs" - }, - "source": [ - "## Using a small learning rate\n", - "\n", - "### The example below uses a smaller than ideal learning rate of $\\lambda = 0.1.$ Not only does this increase the number of gradient descent itterations to 105, but the algorithm coverges to one of the local minima. " - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "4ARHSuT85bNs", - "colab": { - "base_uri": "https://localhost:8080/", - "height": 458 - }, - "outputId": "b0942bf3-5fe4-4503-ef1b-8f933e9f89cc" - }, - "source": [ - "# Initial value x1 = -8 and learn rate lambda = 1\n", - "grad_output = grad_descent(derivative,-5,0.1)\n", - "plotf(x,grad_output[1],\"Gradient Descent with lambda =0.1 and start point = -8\")" - ], - "execution_count": null, - "outputs": [ - { - "output_type": "display_data", - "data": { - "image/png": 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VAw+vKef2F3YAcON7ZvORE8ZpKkdERCJS7ZEWvv3YBv6ydi8zR2dx9emTOX/OaDJSg50A6WsYiflpmoGYMDKDL71rOpcuKeKGh9bzjUdK2FtzlC+fPyPo0kRERN6m9kgLl//2FbYeOMwXz53GZ8+aSnJidO2fojDSg6LcdO755FJu/EsJv/73NtJSEvnsWVODLktERASA+qZWrvr9CrYfrOeOjx/PGdPzgy5pQBRGepGQYHz/4nkcbW7jp/94nfzMVD58/LigyxIRkTgXCjmuuXs1JeW13FK8KGqDCMTBcUYGQ2KC8bNLF3DK1JHc9PhG9lQdCbokERGJc79/aRcvbqvk+xfP5bw5o4Mu55gojPRRUmICP/nQAhLN+PJD6wh1t4+UiIhImG07WM9PntzCubMKuDwGRusVRvqhMCeNb71vNit2HuJ3y3cGXY6IiMSh1rYQ1/9pHWkpifzwg/NiYk9PhZF++tDiIs6akc8vnt5KdUNz0OWIiEiceeS1ctaV1vCd98+hIGtY0OUMCoWRfjIzvn7hLBqaW/nN8zuCLkdEROJIc2uIm5/ZyrzCbN6/YGzQ5QwahZEBmD4qi4sWjOUPL+3k4OHGoMsREZE48eCqUsqqj3L9edNjYnqmncLIAH3x3Om0tDmW/Xt70KWIiEgcaGxp41f/2srxE3OjejferiiMDNDEvAwuXVzEfa/u0eiIiIiE3R9XlnKgronrz5sRU6MioDByTD5zxhSa20L8cUVp0KWIiEgMc85x58u7WDguhxMnjwy6nEGnMHIMJuVlcNq0PO5bsYfWtlDQ5YiISIx6aXsVOyoa+NhJE4IuJSwURo7RlSdOYF9tI09vPhh0KSIiEqPufnk3uenJXDhvTNClhIXCyDE6e2YBY7OHcc8ru4MuRUREYtC+2qP8c/MBPnz8OIYlJwZdTlgojByjpMQEik+cwIvbKtleUR90OSIiEmPuf3UPIee4YmlsTtGAwsig+PCScSQmGA+tLgu6FBERiSGhkOOh1WWcPi2fcSPSgy4nbBRGBkF+ViqnTM3j8XV7cU4n0BMRkcGxek81e2sbufi42DnaalcURgbJ+xeMpaz6KK+V1gRdioiIxIjH1+0lNSmBd80eHXQpYaUwMkjOnzOKlKQEHlu7N+hSREQkBrS2hfhbyT7OnTWKzNSkoMsJK4WRQZI1LJmzZxTw15J9tIU0VSMiIsfmpe1VVNY3874YOiFedxRGBtH7Foyl4nATr+yoCroUERGJco+t20tWahJnzoit89B0RWFkEJ0zq4CMlEQeX6epGhERGbim1jb+sWE/580ZHbPHFulIYWQQDUtO5KyZBTy9+SAhTdWIiMgAvbrjEIebWnn33NhuXG2nMDLIzplVQGV9E+vLa4MuRUREotS/thwkNSmBU6bmBV3KkFAYGWRnTi8gweCZzQeCLkVERKKQc46nNx/g1Kl5pKXE/hQNKIwMutyMFJZMGKET54mIyIC8caCesuqjnDNrVNClDBmFkTA4Z1YBm/fVsbfmaNCliIhIlHlmizeyfvbMgoArGToKI2FwzizvCfTMFo2OiIhI/zyz+SBzC4czOntY0KUMGYWRMJiSn8mEkenqGxERkX6pqm9izZ5qzpkZP1M0oDASFmbG2TMLeGl7FY0tbUGXIyIiUeL5rRU499YIe7xQGAmT06fn09waYtWu6qBLERGRKPHC1kpy05OZOzY76FKGlMJImJwwcQTJicaL2yqDLkVERKKAc47l2yo5eWoeCQkWdDlDSmEkTDJSkzhufC4vbqsIuhQREYkC2yvqOVDXxKlxcqCzjhRGwujUqXls3FvHoYbmoEsREZEI9+JWbyRdYUQG1SlT83AOXt6us/iKiEjPXtxWxfgR6YwbkR50KUNOYSSMFhRlk5mapL4RERHpUWtbiFd2VMXNuWg6UxgJo6TEBE6cPJLlCiMiItKDdWU11De1xuUUDSiMhN2pU0ey59AR9lQdCboUERGJUC9urcIMTpoyMuhSAqEwEmbtQ26v7FTfiIiIdO2VHVXMGj2cERkpQZcSCIWRMJtakMmIjBRW7DwUdCkiIhKBmltDrNlTzdLJI4IuJTAKI2FmZhw/MVdhREREulRSXkNTa4ilkxRGJIxOmOT1jeyrPRp0KSIiEmFe9T+sHj9RYUTCqD3tanREREQ6W7HzEFMLMhmZmRp0KYFRGBkCs8YMJzM1SWFERETepi3kWLWrmhPieIoGFEaGRGKCsUR9IyIi0snmfXXUN7XGdb8IKIwMmRMmjWDrwXqq6puCLkVERCLECvWLAGEOI2b2JTPbaGYbzOx+MxsWzvVFsvbUu3JXdcCViIhIpFix8xDjRqQxNict6FICFbYwYmaFwH8CS5xzc4FE4PJwrS/SzSvMITUpQVM1IiICgHOOlbsOxf2oCIR/miYJSDOzJCAd2Bvm9UWslKQEFhTlsHqPRkZERAR2VR2hqqGZJRMURsIWRpxz5cDPgD3APqDWOfdU5+XM7GozW2VmqyoqKsJVTkRYNCGXTXtraWxpC7oUEREJ2Jrd3ofTxRNyA64keOGcpskFLgImAWOBDDO7ovNyzrnbnHNLnHNL8vPzw1VORFg0PoeWNkdJeW3QpYiISMDW7KkmKzWJaQWZQZcSuHBO05wL7HTOVTjnWoCHgZPDuL6It8hPv+1pWERE4tfq3dUsHJ9DQoIFXUrgwhlG9gAnmlm6mRlwDrA5jOuLeHmZqUwYmc4a9Y2IiMS1w40tvHHgMIvGa4oGwtsz8irwELAGKPHXdVu41hctFo3PZfXuGpxzQZciIiIBWVdaS8i9NWIe78K6N41z7tvOuZnOubnOuSudc3F/xK9FE3KprG+irFonzRMRiVdr9lRjBgvH5QRdSkTQEViH2KLx3hNvtfpGRETi1urd1UwryCQ7LTnoUiKCwsgQmzEqi4yURPWNiIjEqVDI8dqeau3S24HCyBBLSkxgwbgcjYyIiMSpHZX11DW2cpyaV9+kMBKAheNy2LL/sA5+JiISh9aVeseaUr/IWxRGAjC/KIe2kGPj3rqgSxERkSFWUl5LWnIiU/J1sLN2CiMBaE/D68tqAq5ERESGWkl5LXMLh5Oog529SWEkAKOzh1GQlcr6Mh0WXkQknrS2hdi4t5a5hdlBlxJRFEYCMr8oh3WlGhkREYkn2ysaaGwJMb9IYaQjhZGALCjKZkdlA7VHW4IuRUREhkj79Pw8jYy8jcJIQBb4fSMbdAZfEZG4saG8loyURCblqXm1I4WRgLQP0a1TE6uISNxYX17LnLHZal7tRGEkIDnpKUwYmc76Uo2MiIjEg9a2EJv21jFP/SLvoDASoPlFORoZERGJE1sP1tPUqubVriiMBGhBUTb7ahs5eLgx6FJERCTMSvzDOWi33ndSGAlQexOrpmpERGJfSXktmalJTBqZEXQpEUdhJEBzxg4nwXQkVhGReOA1rw4nQc2r76AwEqD0lCSmj8pinY7EKiIS01raQmzeV6d+kW4ojARsgd/E6pwLuhQREQmTNw4cprk1pH6RbiiMBGz+uGxqjrRQeuho0KWIiEiYtDevzi/KCbiSyKQwErAF/hNTu/iKiMSukvJasoYlMWFEetClRCSFkYDNGJ1FSlKCmlhFRGJYSXktc8dmq3m1GwojAUtOTGD2mOFqYhURiVHNrSG27Dus5tUeKIxEgIXjcthQXktbSE2sIiKx5o0Dh2luU/NqTxRGIsD8omyONLex7WB90KWIiMggKylvb15VGOmOwkgEmK8mVhGRmLW+rJbhw5IYr+bVbimMRIDJeRlkpia9ueuXiIjEjg3ltcwrysZMzavdURiJAAkJxpyxw98cyhMRkdjQ1NrGlv11zCvU8UV6ojASIeYVZrN5Xx2tbaGgSxERkUHy+v7DtLQ55ql5tUcKIxFiXlE2Ta0htqqJVUQkZqh5tW8URiJE+y5fmqoREYkdJWW1ZKclU5SbFnQpEU1hJEJMGqkmVhGRWFNSXst8Na/2SmEkQiQkGLPVxCoiEjMaW9p4ff9hHeysDxRGIsh8NbGKiMSM1/cfpjXkmK8w0iuFkQiiJlYRkdix3h/pnqfm1V4pjEQQNbGKiMSOkrIactOTKcxR82pvFEYiSHsT6waFERGRqFdSXse8ohw1r/aBwkgEaW9iXa89akREolpjSxtvHDjMvMLhQZcSFRRGIoyOxCoiEv0276ujLeR0GPg+UhiJMPPVxCoiEvVK1LzaLwojEUZNrCIi0a+krJaRGSmMzR4WdClRQWEkwqiJVUQk+pWU1zJPR17tM4WRCKMjsYqIRLejze3Nq5qi6SuFkQg0rzCbTXvVxCoiEo027asj5FAY6QeFkQg0r1BNrCIi0aqkrAZQ82p/KIxEoPYnsKZqRESiT0l5HXmZqYwerubVvlIYiUBqYhURiV4l5TXMKxyu5tV+UBiJQGpiFRGJTkeaW9l2sJ55RTrYWX8ojEQoNbGKiESfTXu95tX5al7tF4WRCKUmVhGR6KMjrw6MwkiE0pFYRUSiT0lZLQVZqYxS82q/KIxEqMl5GWSkJKqJVUQkiqwvr9XxRQZAYSRCJSQYcwqzNTIiIhIlGppa2V5RrymaAVAYiWDzCrPZvE9NrCIi0WDj3jqcjrw6IAojEWxeYTaNLSG2VaiJVUQk0r3ZvKow0m8KIxGsvYl1fZmmakREIl1JWQ2jhw+jQM2r/aYwEsHUxCoiEj1Kymvf/BAp/aMwEsHUxCoiEh0ON7awo7KB+WpeHRCFkQinJlYRkcin5tVjozAS4dTEKiIS+dqn0zVNMzAKIxHuzSOxqolVRCRirS+rZUz2MPKzUoMuJSopjES49iZW9Y2IiESuDTry6jFRGIlwCQnGnLFqYhURiVR1al49ZgojUWBekZpYRUQi1cbyOkD9IsdCYSQKqIlVRCRylZTXANqT5liENYyYWY6ZPWRmW8xss5mdFM71xSo1sYqIRK71ZbUU5qQxMlPNqwMV7pGRm4EnnXMzgQXA5jCvLybpSKwiIpFLzavHLmxhxMyygdOBOwCcc83OuZpwrS+WtTexrlcYERGJKLVHW9hVdYR5al49JuEcGZkEVAC/N7PXzOx2M8vovJCZXW1mq8xsVUVFRRjLiW5zdSRWEZGIs1Fn6h0U4QwjScAi4Bbn3HFAA/C1zgs5525zzi1xzi3Jz88PYznRbX6RmlhFRCLNeoWRQRHOMFIGlDnnXvV/fggvnMgAqIlVRCTylJTXUpSbRm5GStClRLWwhRHn3H6g1Mxm+L86B9gUrvXFOjWxiohEnpKyWh3sbBCEe2+azwP3mtl6YCHwwzCvL2bpSKwiIpGl5kgzew4d0cHOBkFSOG/cObcWWBLOdcSTuYXZ3LdiN61tIZISdbw6EZEgrfOnzReOywm4kuin/2hRZF7RcDWxiohEiHWlNZipeXUwKIxEkXmFXvpWE6uISPDWldYwNT+TrGHJQZcS9RRGooiaWEVEIoNzjnVlNcwv0hTNYFAYiSJqYhURiQzlNUeprG9m4ThN0QwGhZEoM7cwm006EquISKDWlXofCheoeXVQKIxEGTWxiogEb11ZDSmJCcwcPTzoUmKCwkiUmacjsYqIBG5daQ2zxw4nJUn/RgeD7sUoMykvU02sIiIBags5SsprdXyRQaQwEmUS1cQqIhKobQfrOdLcxgI1rw4ahZEoNK8om41762hRE6uIyJBbV1oDwALt1jtoFEai0IJxOTS1hnh9/+GgSxERiTtry2oYPiyJiSMzgi4lZiiMRKHj/HnK1/x0LiIiQ2ddqXews4QEC7qUmKEwEoWKctMYmZHC2j0KIyIiQ6mxpY0t+w+rX2SQKYxEITNj4bgc1pZWB12KiEhc2bi3lraQU7/IIFMYiVILx+WwvaKB2qMtQZciIhI31vpHXtVuvYNLYSRKLRzvvRDWl2mqRkRkqKwvq2FM9jAKhg8LupSYojASpdrPFKm+ERGRobOutEZTNGGgMBKlstOSmZKfwVrtUSMiMiRqjjSzq+qITo4XBgojUWzhuFzWltbgnAu6FBGRmLeurP1MvdqTZrApjESxheNzqGpopqz6aNCliIjEvHWlNZi9dcJSGTwKI1Fskd/EumaPdvEVEQm3NXvno1nvAAAgAElEQVSqmZqfSdaw5KBLiTkKI1FsxqgsMlISWb1bYUREJJxCIcea3dUsmZgbdCkxSWEkiiUlJrBwfI7CiIhImG2vqKeusZVF4xVGwkFhJMotHp/L5n11NDS1Bl2KiEjMav/Qt3iCwkg4KIxEuUUTcgm5t05pLSIig2/17mpy05OZlKcz9YaDwkiUO84fMtRUjYhI+KzeU83iCbmY6Uy94aAwEuWy05KZPiqT1dqjRkQkLA41NLOjooFFmqIJG4WRGLB4Qi5rdlcTCungZyIig+01/8PeYjWvho3CSAxYND6XusZWtlfUB12KiEjMWb27mqQEe/OcYDL4FEZiQHt39yr1jYiIDLrVu6uZM3Y4aSmJQZcSsxRGYsCkvAxGZKSwapfCiIjIYGpuDbG2tEb9ImGmMBIDzIzjJ+ayYldV0KWIiMSUkvIamlpDLJ00IuhSYprCSIw4YdJISg8dZV+tTponIjJYVuz0RpyPn6gwEk4KIzGiPbWv2Hko4EpERGLHip1VTC3IZGRmatClxDSFkRgxa8xwMlOTFEZERAZJW8ixalc1J2iKJuyS+rKQmRUApwBjgaPABmCVcy4UxtqkHxITjCUTcxVGREQGyeZ9dRxualW/yBDocWTEzM4ys38AfwXeDYwBZgPfBErM7DtmNjz8ZUpfHD9xBFsP1nOooTnoUkREot7KXd6HO/WLhF9vIyMXAp92zu3pfIWZJQHvBd4F/DkMtUk/taf3lbsOcf6c0QFXIyIS3VbsPERRbhpjc9KCLiXm9Tgy4pz7SldBxL+u1Tn3F+ecgkiEmFeUTWpSgqZqRESOkXOOFTsPqV9kiPSpgdXM7jaz7A4/TzSzZ8JXlgxEalIix43P4dWdOt6IiMix2F5RT1VDMydoimZI9HVvmheBV83sQjP7NPAU8IvwlSUDddLkPDburaPmiPpGREQG6qXt3oe6k6fkBVxJfOhTGHHO/Qb4FPAo8F3gdOfc4+EsTAbmlKkjcQ5e2aHRERGRgVq+rZKi3DTGj0wPupS40NdpmiuB3wEfA/4A/M3MFoSxLhmg+UU5pKcksnybwoiIyEC0hRwvb6/i5Ckjgy4lbvTpOCPAJcCpzrmDwP1m9gheKDkuXIXJwKQkJXDCpBEs314ZdCkiIlFp495a6hpbOWWqpmiGSl+naS72g0j7zyuApWGrSo7JKVPy2FHRwP7axqBLERGJOu39IidpZGTI9HbQs2+aWZetxM65ZjM728zeG57SZKDaX0AvaXRERKTflm+rZFpBJgVZw4IuJW70Nk1TAjxuZo3AGqACGAZMAxYCTwM/DGuF0m+zxwwnNz2Z5duq+OCioqDLERGJGk2tbazcdYjLjx8fdClxpbcw8iHn3ClmdgNwEO9w8HXAPcDVzjmdrz4CJSQYJ00ZyUvbK3HOYWZBlyQiEhVe21NDY0tIzatDrLcwstjMxgLFwFmdrkvDO2meRKCTp+Txt5L9bK9oYGpBZtDliIhEhRe3VpJgsHSywshQ6i2M3Ao8A0wGVnX4vQHO/71EoDOm5wPw7OsHFUZERPro2TcOsmh8LtlpyUGXEld6OzfNL51zs4DfOecmd/ia5JxTEIlg40akMyU/g+feqAi6FBGRqHDwcCMbyus4c0Z+0KXEnb7u2nttuAuRwXfmjAJe3XGII82tQZciIhLxnn/D2wPxzBkFAVcSf/p6bhqJQmfOyKe5LcTL23U0VhGR3jz7+kHyMlOZPWZ40KXEHYWRGHbCpBGkJSfy7OuaqhER6UlrW4gXtlZyxvR8EhK0B+JQUxiJYalJiZw8ZSTPvnEQ51zQ5YiIRKx1ZTXUHm1Rv0hAFEZi3Jkz8ik9dJQdlQ1BlyIiErGefb2CBIPTpul8NEFQGIlx7Y1Y/95ysJclRUTi17+2HOS48bnkpKcEXUpcUhiJceNGpDNzdBZPbTwQdCkiIhGprPoIG/fWcd7sUUGXErcURuLAeXNGs3L3ISrrm4IuRUQk4rR/WDtvzuiAK4lfCiNx4Pw5o3AOnt6k0RERkc7+sXE/00dlMikvI+hS4pbCSByYPWY4Rblp/GPj/qBLERGJKFX1TazcdYjzNSoSKIWROGBmnD9nNMu3VVHfpKOxioi0e2bLQUIOhZGAKYzEifPnjKa5LcSzr2uvGhGRdk9t3E9hThpzxuqoq0FSGIkTiyfkMjIjhb9v0FSNiAhAfVMrL2yt5F2zR2Gmo64GKexhxMwSzew1M3si3OuS7iUmGO+eN5pnNh/QVI2ICPCPDftpag3xvgVjgi4l7g3FyMgXgM1DsB7pxcULC2lsCfGUGllFRPjL2nKKctNYND436FLiXljDiJkVAe8Bbg/neqRvFo3PpTAnjUfX7g26FBGRQFUcbmL5tkouWjhWUzQRINwjI78AbgBC3S1gZleb2SozW1VRobPLhlNCgnHRwrG8uK1SB0ATkbj2xPq9hJw3YizBC1sYMbP3Agedc6t7Ws45d5tzbolzbkl+vs6WGG4XH1dIW8jxxDqNjohI/PrL2r3MHjOcaaOygi5FCO/IyCnA+81sF/AAcLaZ3RPG9UkfTB+Vxawxw/mLpmpEJE7tqmxgXWkNFx83NuhSxBe2MOKc+7pzrsg5NxG4HPiXc+6KcK1P+u4Dx41lbWkNbxw4HHQpIiJD7sFVpSQYvG+Bwkik0HFG4tAli4pISUzgvlf3BF2KiMiQamkL8eCqMs6eWcCY7LSgyxHfkIQR59yzzrn3DsW6pHcjM1O5YO5oHl5TxtHmtqDLEREZMv/cdIDK+iaKl04IuhTpQCMjceqjS8dT19jKE+vVOyIi8ePeV3dTmJPG6dO1w0QkURiJU0snjWBKfgb3rdBUjYjEh12VDSzfVsXlx48jMUHHFokkCiNxysz46NIJvLanho17a4MuR0Qk7O5bsYfEBOOy48cFXYp0ojASxz60qIiMlER++/yOoEsREQmrusYW7n91D++eO5qC4cOCLkc6URiJY9npyXx06XgeX7+P0kNHgi5HRCRs7nllN4ebWrnmjClBlyJdUBiJc588dTIJBre/oNEREYlNjS1t/O7FXZw+PZ+5hdlBlyNdUBiJc6Ozh/GB4wr546pSqnS+GhGJQX9eU0ZlfRPXnDE56FKkGwojwtWnT6GpNcQdL+4MuhQRkUHV3BriN8/tYMG4HE6aPDLocqQbCiPC1IJM3jd/LL9bvpP9tY1BlyMiMmjuX7GHPYeO8MVzpmGm3XkjlcKIAPCV82cQCsHP//l60KWIiAyKusYWbn5mKydPGcmZM3SQs0imMCIAjBuRzlUnT+BPq8vYsr8u6HJERI7Zrc9u51BDM19/9yyNikQ4hRF502fPmkpWahI/+OtmnHNBlyMiMmBl1Ue448WdXLxwLPOKtAdNpFMYkTflpKfwX++azgtbK3l4TXnQ5YiIDIhzjq8/XEJigvGVC2YGXY70gcKIvM3HTprIkgm5fOfxjRysUzOriESfB1eV8sLWSr7+7pkU5qQFXY70gcKIvE1CgvGTD82nqTXENx7ZoOkaEYkq+2qP8v0nNnPi5BEUL50QdDnSRwoj8g6T8zO5/rzpPL35AHe+tCvockRE+qS5NcTn73uN1pDjx5fMJ0Fn5o0aCiPSpU+dOplzZ43ie3/dzEvbK4MuR0SkVzc9vpFVu6v5yYfmM2FkRtDlSD8ojEiXEhKM/7tsAZPyMvjsvWvYU6UT6YlI5Lr7ld3c9+oerj1zCu9bMDbocqSfFEakW1nDkvntx5YQcvCR377C7qqGoEsSEXmHB1eW8q1HN3D2zAK+fN6MoMuRAVAYkR5Nysvg3k8t5UhzK5f95hV2VNQHXZKIyJvue3UPN/x5PadNy2dZ8SIS1ScSlRRGpFdzC7O579Mn0twW4gPLXuLpTQeCLklE4lxTaxs3PbaRbzxSwtkzC7jtysUMS04MuiwZIIUR6ZNZY4bzyHUnU5SbxqfuWsX3nthEQ1Nr0GWJSBzaeuAwH771Zf7w0i7+45SJ3HqFgki0Swq6AIkeE0Zm8OdrT+YHf93MHS/u5NG1e7n+vOlcsqiIlCTlWhEJrwN1jdz8zFYeWLGHzNQkbr1iERfMHRN0WTIILJIOarVkyRK3atWqoMuQPli9u5of/m0zq3dXMzIjhUsWF/GeeWOYM3Y4SYkKJiIyOOoaW3h5exV/Xl3GM1sOYsAVJ07gP8+ZxoiMlKDLk16Y2Wrn3JJel1MYkYFyzvHcGxU8sKKUpzcfoDXkyEpNYuH4HKbkZzJhZDrDhyWTkZpEZmoSGamJpCYlkphgJCZAghmJCfbm97TkRIanJXfbgHbddXDbbdDWBomJcPXVsGzZEG+0iPRLKOQ40tLGkaZWGprbaG4N0RZyhJyjLeRoc45QyLvc0NxKdUMLBw43sqOigdf3H2bj3lpCDvIyvQ89Hz1hvI4hEkUURmRIVdU3sXx7FS9vr6KkvIadFQ00NLcN6LZy0pMpzEljXG46M8dkMWdsNg/8Xx6/u73rOeFrr1UoEQmSc45tB+tZV1bLhvJatlfUU159lP11jRwZ4PvAqOGpTM7L5PhJIzhp8kgWT8jVdHAUUhiRQDnnONTQzOHGVhqaW2loaqOhqZWm1jbaQrzt01D75SPNbdQebaGyvonymqPsqTrCzqoGnIPdP3k3uJ7fiBRKRIZOW8ixfFslT6zfy/NvVLLfP7FmWnIi00ZlUpSbxpjsNLKGJZGekkh6ijc6mpKY+PaR0QQj0b+cnpJIbnoK+VmpZKSqpTEWKIxITGhoamXzvjqOn5QL9H78gGHD4Pbbobg4/LWJxKPK+ibuemkX968speJwE1nDkjh9Wj6nTctjycQRTMrL0LE+5E0KIxJTkpK8XpG+ysyEW29VKBEZLFX1Tfzyma08sLKUptYQZ88s4NLFRZw1s0C71Uq3+hpGNA4mUeHqq+GWW/q+fH09XHEFLF+uqRuRY9HcGuKOF3fy//69jaMtbVy6uIhPnz6ZKfmZQZcmMURhRKLCsmXw3HOwaVP//q49wCiQiPRfSVktX3loHVv2H+bcWQV87d2zmFqgECKDT63JEjU2bvSaVPvrllu83YJFpG9CIcev/7WVi5ct51BDM7dduZjbrzpeQUTCRmFEosqyZeAc3HMPpPTjeEcKJCJ9U1XfxMf/sJKfPfUGF84bwz+/dAbnzRkddFkS4xRGJCoVF0NTkxdKMvp4/CMFEpGevXHgMO//9XJe2VHFDz4wl19evpDs9OSgy5I4oDAiUa242GtW7WsoueUWyMuDe+8Nf20i0eSFrRVcsuwlmttCPHTNSRQvnYCZdtGVoaEwIjGhPZT0paekqgquvFKjJCLtnli/l//4/UoKc9N49LOnML8oJ+iSJM4ojEhMWbasb4HEOe84JBohkXj34MpS/vP+11g0Ppc/XXMSY3PSgi5J4pDCiMSc/gSSL3wh/PWIRKr7V+zhhj+v59Rp+dz5iRPIGqb+EAmGwojEpPZA0tuUd1WVRkckPj28poxvPFLCWTPy+e3HFpOWoqOoSnAURiRmLVsGd98NI0f2vNxVVymQSHz5e8k+vvyndZw8ZSS3XLGY1CQFEQmWwojEtOJiqKzsedqmrc073LwCicSDV3ZU8YUH1nLc+Fx++7ElOq+MRASFEYkLy5b1PEJy5IhGSCT2vb7/MJ++axXjRqRxx1VLSE/RGUEkMiiMSNy4+WZIT+/+eo2QSCyrrG/iE39YSVpyInd+4gRy0vtxCGORMFMYkbhRXAy33QaJPYxKHzmiPWwk9rS0hbju3jVU1jdxx1XHU5TbQyoXCYDCiMSV4mK4886eR0i0h43Emu8+vokVOw/xkw/NZ15RdtDliLyDJgwl7hQXe9+vusqbmunKVVe9fVmRaPXAij3c/cpurj59MhctLAy6HJEuKYxIXGoPGVdc0fX17f0jHZcViTard1fz349u4LRpeXz1gplBlyPSLU3TSNwqLtYeNhK7DtQ1cs09qxmbk8avP7KIxASd9E4il8KIxDXtYSOxqC3k+Pz9r9HQ1MpvP7aE7HQd5l0im8KIxLW+7mFz441DV5PIsfrVv7ayYuchvn/xXKaPygq6HJFeKYxI3OvLHja7d2t0RKLDKzuq+OUzW/ngokI+uKgo6HJE+kQNrCL0bQ8bNbRKpDvU0MwXH1jLhJEZfO+iuUGXI9JnGhkR8fU2QqLpGolkzjm+8qd1HGpo5lcfOY6MVH3WlOihMCLSQXsPSXc0XSOR6vfLd/HMloN8/cKZzC3Ugc0kuiiMiHRSXAwTJnR/vfaukUizeV8dP/r7Fs6dVcDHT54YdDki/aYwItKFH/xA0zUSHZpbQ/zXg+sYnpbEjy+Zj5mOJyLRR2FEpAuarpFocfMzb7B5Xx3/88H5jMxMDbockQFRGBHphqZrJNKt3l3NLc9u58NLinjX7FFBlyMyYAojIj3QdI1EqiPNrXz5T+sYk53Gf793dtDliBwThRGRHmi6RiLVj/6+hZ2VDfzs0gVkDdPh3iW6KYyI9ELTNRJpXthawV0v7+aTp07ipCk9nO1RJEoojIj0gaZrJFLUN7XytT+XMCU/g6+cPyPockQGhcKISB9oukYixU+f3MLe2qP85EMLGJbcwxkeRaKIwohIH2m6RoK2ctch7nplNx8/eSKLJ+QGXY7IoAlbGDGzcWb2bzPbZGYbzewL4VqXyFDRdI0EpbGlja/+eT2FOWl8+TxNz0hsCeeZlFqB651za8wsC1htZv90zm0K4zpFwqr9jL1XXNH19Xv2DF0tEl9++cxWdlQ0cPcnT9BJ8CTmhG1kxDm3zzm3xr98GNgMFIZrfSJDpafpmoQETdXI4NtQXstvnt/BpYuLOG1aftDliAy6IekZMbOJwHHAq11cd7WZrTKzVRUVFUNRjsgx6266pq1NvSMyuFraQtzw0HpGZKTwzffo4GYSm8IeRswsE/gz8EXnXF3n651ztznnljjnluTnK/FLdGjfuyaxi50Z1Dsig+m3L+xg0746vnfRXLLTdXAziU1hDSNmlowXRO51zj0cznWJDLXiYgiFur5u926YOFEjJHJstlfU84unt3LhvNFcMHd00OWIhE0496Yx4A5gs3Pu5+Faj0iQxo/v/rrduzVlIwMXCjm+9uf1pCUnctP75wRdjkhYhXNk5BTgSuBsM1vrf10YxvWJDLmedvUFTdnIwN3z6m5W7qrmv987m4KsYUGXIxJWYds/zDn3ImDhun2RSNC+q++NN3ojIV3R7r7SX2XVR/jx37dw+vR8LlmknRAl9ukIrCLHqLgYdu3S7r4yOJxz3PjIBhzwww/MxZvxFoltCiMig0S7+8pgeHhNOc+9UcFXL5hJUW4Pc4AiMURhRGSQaHdfOVYVh5v47hObWDIhlytP7OFESCIxRmFEZBD1truvRkekJzc9tpGjLW386JL5JCRoekbih8KIyCDraXdfTddId57csJ+/luzjC+dMY2pBZtDliAwphRGRQaYz+0p/1R5p4b8f3cDsMcO5+vTJQZcjMuR06keRQaYz+0p//eBvmzjU0MzvP348yYn6jCjxR896kTDQmX2lr17cWsmDq8q4+vTJzC3MDrockUAojIiEiXb1ld4caW7law+vZ3JeBl84Z1rQ5YgERmFEJEy0q6/05idPvk5Z9VF+dMl8hiV38UQRiRMKIyJhpDP7SndW7jrEnS/v4qqTJnDCpBFBlyMSKIURkTDTmX2ls6PNbdzw0HqKctO44YKZQZcjEjiFEZEw05l9pbP/fep1dlY28ONL5pORqp0aRRRGRMKsvXeku71rQEdnjSerd1dzx/KdFC8dz8lT8oIuRyQiKIyIDIHezuwLmq6JB40tbdzw0DrGZqfx9QtnBV2OSMRQGBEZQjo6a3z7xdNb2V7RwP98cB6Zmp4ReZNeDSJDSEdnjV/rSmu47fntXLZkHKdPzw+6HJGIopERkSGmo7PGn6bWNr7y0DpGDR/Gje/V9IxIZwojIgHQ0Vnjy6+e2cYbB+r54QfnMXxYctDliEQchRGRAOjorPGjpKyWW57bziWLijhrRkHQ5YhEJIURkYD0dnRWjY5Ev8aWNr704FryM1P51ntnB12OSMRSGBEJUE9HZ9V0TfT78ZNb2Hawnp9eOp/sdE3PiHRHYUQkQNrVN3Yt31bJ75fv4uMnT+S0adp7RqQnCiMiAWrvHemOpmuiU+3RFr78p3VMzs/gqzr3jEivFEZEAtbTrr6g6Zpo9O1HN1BxuIlfXLaQtJQuupRF5G0URkQigKZrYscT6/fyl7V7+fzZ05hflBN0OSJRQWFEJAJouiY2lNcc5cZHNrBgXA6fPWtK0OWIRA2FEZEIoema6NbaFuIL979GW8hx82ULSUrU26tIX+nVIhJBepuuueoqBZJI9ctntrJqdzU/+MBcJuZlBF2OSFTRifJEIkhvJ9JrP1x8x2UleC9tr+RX/97GpYuLuGhhYdDliEQdjYyIRJjepmvU0BpZquqb+NIf1zIpL4PvXDQn6HJEopLCiEgE6mm6BtTQGimcc3zlofVUH2nhVx85jvQUDTaLDIReOSIRqH0K5qqrvKmZrmi6Jni3v7CTf205yHfeP4c5Y7ODLkckamlkRCRCFRfDnXeqoTVSvby9ih89uYV3zx3Nx07qYV5NRHqlkRGRCKaG1si0r/Yon7tvDRNHpvPTSxdgZkGXJBLVNDIiEuHU0BpZmlrbuO7eNTS2tPGbKxeTmarPdCLHSmFEJAqooTVyfO+JTby2p4afXrqAqQVZQZcjEhMU6UWigBpaI8NDq8u455U9fOb0yVw4b0zQ5YjEDI2MiEQJNbQG67U91dz4SAknTR7JV86fEXQ5IjFFIyMiUUQNrcEoPXSET9+1ilHDh/Hrjx6n886IDDK9okSiTF8aWr/whaGrJ9bVNbbwyTtX0twa4ncfP56RmalBlyQScxRGRKJQbw2tVVWQl6cpm2PV2hbis/euYUdFA7desZipBZlBlyQSkzRNIxKF+tLQWlWlKZtj4Zzj249t5IWtlfz4knmcPDUv6JJEYpbCiEiU6q1/BN5qau24vPTNb1/Ywb2v7uGaM6Zw2fHjgy5HJKZpmkYkihUXw8iRPS/T3tSqKZu+++PKPfzwb1t4z7wx3KA9Z0TCTmFEJMrdfHPP/SOgptb+eGL9Xr72cAlnTM/n/y5bSEKCDvUuEm4KIyJRrrgYbrut9xESNbX27t9bDvLFB9Zy/IQR3HrFYlKS9BYpMhT0ShOJAcXFUFkJ99wDiYndL9fe1KpA8k6v7KjimntWM3NMFrd/fAlpKT3ckSIyqBRGRGJI+1Fae6Ipm3datesQn7pzFeNHpHPXJ5YyfFhy0CWJxBWFEZEY05em1qoquO66oakn0j3/RgVX3rGCgqxU7v7kUkZkpARdkkjcURgRiUF9aWq95Rb1kDy5YT+funMVE/My+ONnTmJ09rCgSxKJSwojIjGoP02tV14Zn6MkD68p47P3rWFO4XAe+PSJ5GfpMO8iQVEYEYlR7U2tvQUS57xRkngKJHe+tIv/enAdSyeN4J5PLiU7XT0iIkFSGBGJcTffDNaHQ2XEQyBpaQvx33/ZwLcf28i5s0bxu48fT0aqDkQtEjSFEZEYV1wM11zT90ASq30k1Q3NfOyOFdz9ym6uPn0yv7lyMcOStfuuSCRQGBGJA8uWwd139z5lA7HZR7L1wGEuXrac1bur+dmlC/jGhbNI1JFVRSKGwohInGjvIbn22t6Xbe8jycqK/lGSv5fs4wPLXuJIcxsPfOZEPrS4KOiSRKQThRGROLNsWd8CCUB9vXdW4GgcJWlsaeMbj5Rw7b1rmFKQyWOfO4VF43ODLktEuqDOLZE4tGyZ9/3WW71RkN7ccgu88QY8/XR46xosr+2p5st/Wsf2igY+c8Zkrn/XDJ1nRiSC6dUpEqf600cC8MwzkJYW2dM2R5pb+Z+/beaSW17iaHMbd3/yBL7+7lkKIiIRTq9QkTjWnz4SgMZGb9omISGypm6cczy5YT/v+vnz/Ob5HXx4yTie/NLpnDYtP+jSRKQPFEZEpF99JPBWg6tZ8E2ur+2p5vLbXuGae1aTNSyJBz9zEj+6ZL5OdicSRRRGRATwAsk990BGRv/+rr3JdaiDydrSGj515yo+sOwltlfU872L5vDE50/lhEkjhqYAERk05vrSvTZElixZ4latWhV0GSJx79xzvR6RY3XttW81yw6GlrYQT286wJ0v7+KVHYfITkvmE6dM4pOnTSJTR1IViThmtto5t6TX5cIZRszsAuBmIBG43Tn3o56WVxgRiRyDFUh609tbkHOOjXvreHRtOY+u3cvBw00U5qTxsZMmUHziBIUQkQjW1zAStlexmSUC/w94F1AGrDSzx5xzm8K1ThEZPE8/7U25fOYz0NAQvvWYvTOQ7K9tZM2eal7cVslzr1dQXnOU5ETjjOn5XH78eM6aWaAjqIrEkHB+pDgB2Oac2wFgZg8AFwEKIyJRorjY+7r3XvjEJ6C5ORxrcdz63A721zayvaKerQfq2V/XCEBGSiKnTM3j82dP5YK5o8lJTwlHASISsHCGkUKgtMPPZcDSMK5PRMKkYygJx0jJj/6+hYyURCbnZ3LSlJHMK8xm0YRcZo8ZrmOEiMSBwCdbzexq4GqA8ePHB1yNiPSkPZSAd5yRW24ZnNvd8J3zyUhJxPpyamERiTnh/MhRDozr8HOR/7u3cc7d5pxb4pxbkp+vAxSJRItly7xej4HsDvx2RmZqkoKISBwLZxhZCUwzs0lmlgJcDjwWxvWJSACKi71jjbQHk5R+tnVE0NEFRCQgYQsjzrlW4HPAP4DNwIPOuY3hWp+IBK+4GJqavIDR1y8RkbD2jDjn/gb8LZzrEBERkeimNnUREREJlMKIiIiIBEphRERERAKlMCIiIiKBUhgRERGRQCmMiIiISKAURkRERCRQCiMiIoiF4P4AAAdsSURBVCISKIURERERCZTCiIiIiARKYUREREQCpTAiIiIigTIXQafNNLMKYHcYbjoPqAzD7UaaeNhObWPsiIftjIdthPjYTm3jwExwzuX3tlBEhZFwMbNVzrklQdcRbvGwndrG2BEP2xkP2wjxsZ3axvDSNI2IiIgESmFEREREAhUvYeS2oAsYIvGwndrG2BEP2xkP2wjxsZ3axjCKi54RERERiVzxMjIiIiIiEUphRERERAIVM2HEzC41s41mFjKzJZ2u+7qZbTOz183s/G7+fpKZveov90czSxmaygfOr3Ot/7XLzNZ2s9wuMyvxl1s11HUeCzO7yczKO2znhd0sd4H/+G4zs68NdZ3Hwsx+amZbzGy9mT1iZjndLBeVj2Nvj42ZpfrP5W3+a3Di0Fc5cGY2zsz+bWab/PegL3SxzJlmVtvhefytIGo9Fr09/8zzS/9xXG9mi4Ko81iY2YwOj9FaM6szsy92WibqHksz+52ZHTSzDR1+N8LM/mlmW/3vud387VX+MlvN7KqwFemci4kvYBYwA3gWWNLh97OBdUAqMAnYDiR28fcPApf7l28Frg16m/q5/f8LfKub63YBeUHXOMDtugn4ci/LJPqP62QgxX+8Zwddez+28Twgyb/8Y+DHsfI49uWxAa4DbvUvXw78Mei6+7mNY4BF/uUs4I0utvFM4Imgaz3G7ezx+QdcCPwdMOBE4NWgaz7G7U0E9uMdtCuqH0vgdGARsKHD734CfM2//LWu3neAEcAO/3uufzk3HDXGzMiIc26zc+71Lq66CHjAOdfknNsJbANO6LiAmRlwNvCQ/6s7gYvDWe9g8uv/MHB/0LUE5ARgm3Nuh3OuGXgA73GPCs65p5xzrf6PrwBFQdYzyPry2FyE95oD7zV4jv+cjgrOuX3OuTX+5cPAZqAw2KoCcRFwl/O8AuSY2ZigizoG5wDbnXPhOCr4kHLOPQ8c6vTrjq+77v7nnQ/80zl3yDlXDfwTuCAcNcZMGOlBIVDa4ecy3vlGMRKo6fAPoatlItlpwAHn3NZurnfAU2a22syuHsK6Bsvn/GHf33UzlNiXxzhafALv02VXovFx7Mtj8+Yy/muwFu81GXX8KabjgFe7uPokM1tnZn83szlDWtjg6O35F0uvQ/BG6br7gBftjyXAKOfcPv/yfmBUF8sM2WOaFI4bDRczexoY3cVVNzrnHh3qeoZCH7f5I/Q8KnKqc67czAqAf5rZFj8pR4SethG4Bfge3hvh9/Cmoz4xdNUNjr48jmZ2I9AK3NvNzUT04xjvzCwT+DPwRedcXaer1+AN99f7fU9/AaYNdY3/v727CZGjiAI4/n+4aiSG4MfBhHhIwJs3PxDxpCGYIAHFg6f4dckhZ0G8ieDNm15UEEQRBIVBFgIabx4MiEkMKq63XcIGPHgRJcjzUDXQDj06q5up7t3/D5qd6a4ZqnhdM2+rqnv+p11z/tU1gyeBl3sO74RY/k1mZkQ0vc/HqJKRzDz6H162AdzdeX6o7uv6hTKkuFL/M+sr08S/tTkiVoCngPv+4T026t+rEfEpZeh8MB8ii8Y1It4GPus5tEiMm1ogjs8BTwCPZZ2s7XmPQcdxjkViMy2zXs/n/ZQ+ORoRcSMlEfkgMz+ZPd5NTjJzNSLeiog7M3M0P7y2wPk3+H64BceBbzJzc/bATohltRkRBzLzSp1Ou9pTZoOyRmbqEGVd5rbbDdM0E+CZumL/MCWD/bpboH74fwk8XXc9C4xlpOUo8ENmrvcdjIi9EbFv+piyWPK7vrJDNDPn/CT9dT8P3BPliqibKMOrk2XUbztExOPAS8DJzPxtTpmxxnGR2EwofQ5KHzw3LyEborq+5V3g+8x8Y06Zu6brYCLiQcpn72gSrgXPvwlwql5V8xDwa2caYGzmjjaPPZYd3X437zvvLHAsIm6rU+TH6r7tt+xVvddro3xRrQN/AJvA2c6xVygr+n8Ejnf2rwIH6+MjlCRlDfgYuLl1mxZs93vA6Zl9B4HVTrsu1O0yZVqgeb230L73gUvARUrnOTDbxvr8BOUqhp9H2MY1yrzst3WbXlmyI+LYFxvgVUryBbCn9rm12gePtK7zFtv3CGUa8WInhieA09O+CZypcbtAWaT8cOt6b7GNveffTBsDeLPG+RKdqxrHtAF7KcnF/s6+UceSklhdAa7V78kXKeuyvgB+Aj4Hbq9l7wfe6bz2hdo314Dnr1cdvR28JElqajdM00iSpAEzGZEkSU2ZjEiSpKZMRiRJUlMmI5IkqSmTEUmS1JTJiCRJaspkRNJSRMQD9QcP99Q7el6OiHtb10tSe970TNLSRMRrlDuu3gKsZ+brjaskaQBMRiQtTf19mvPA75TbaP/ZuEqSBsBpGknLdAdwK7CPMkIiSY6MSFqeiJgAHwGHKT96eKZxlSQNwErrCkjaHSLiFHAtMz+MiBuAryLi0cw817puktpyZESSJDXlmhFJktSUyYgkSWrKZESSJDVlMiJJkpoyGZEkSU2ZjEiSpKZMRiRJUlN/AW+NilGbgIuoAAAAAElFTkSuQmCC\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "tags": [], - "needs_background": "light" - } - } - ] - }, - { - "cell_type": "code", - "metadata": { - "colab": { - "base_uri": "https://localhost:8080/" - }, - "id": "4EVrGpnXdG4e", - "outputId": "1110f3e2-5520-477c-9f5c-d7e5d202ba77" - }, - "source": [ - "grad_output[2]" - ], - "execution_count": null, - "outputs": [ - { - "output_type": "execute_result", - "data": { - "text/plain": [ - "155" - ] - }, - "metadata": { - "tags": [] - }, - "execution_count": 31 - } - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "7Iiu6dAQ5bNs" - }, - "source": [ - "## Small learning rate but starting close to global minimum\n", - "\n", - "### The example below uses a small learning rate (for this context) of $\\lambda = 0.1,$ but starts the algoirthm at $x_{1} = -5.$ The key point is that the initial value is now slight beyond the local minimum. Hence even with a small learning rate we are able to eventually converge to the global minimum." - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "3WKgyNeT5bNt", - "colab": { - "base_uri": "https://localhost:8080/", - "height": 458 - }, - "outputId": "0d0eb7ac-dd6b-4b03-cb12-d97ad31722e0" - }, - "source": [ - "# Initial value x1 = -5 and learn rate lambda = 10\n", - "\n", - "grad_output = grad_descent(derivative,-5,1)\n", - "plotf(x,grad_output[1],\"Gradient Descent with lambda = 10 and start point = -5\")" - ], - "execution_count": null, - "outputs": [ - { - "output_type": "display_data", - "data": { - "image/png": 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CEBvqD1+zCb5mE3xMAl+zCaPDA5AQEYikqCBEBfs5JY+IZCmlMga8nDeVkcEqqm7GW1vK8Mw3+wAAd581DT+bn8SpHCIickn1LZ3483vb8c62ckwZHYqli8fhtOmjEeyvdwJksGXE46dphiMlOhg3nzIJF2Uk4vZVObjr7VyU17Xi1tMm645GRET0A/Utnbj06Q3IP9iI3508ETedMAG+ZvfaPoVlpB+JkUFYcc0C3P1OLh77ci8C/cy46YQJumMREREBAJraLbjy+U0oONSEZ6+ah+MmxeqONCwsIwMwmQQPnJeG1g4r/v7JbsSG+OPieUm6YxERkZez2RRueCkLuWX1eGLJHLctIoAX7GfEEcwmwT8umomjJ0Tjnvd3oLi6RXckIiLycs+vL8S3e6vwwHkzcOr00brjHBGWkUHyMZvw0IUzYRbBrauyYetrGykiIiIn23uoCQ99vAsnT43DpR4wWs8yMgQJEYH40znTsGl/DZ5bt193HCIi8kIWqw23vJGNQD8z/nJ+mkds6ckyMkQXzk3ECZNj8fDn+aht7tAdh4iIvMzbW8uQXVKHe38yHXGhAbrjOATLyBCJCO48cyqaOyx46ut9uuMQEZEX6bDY8MiafKQlhOMnM+N1x3EYlpFhmDQqFOfOjMf/1u/HocY23XGIiMhLvJ5ZgtLaVtxy6iSPmJ7pwjIyTL87eRI6rQqPf1mgOwoREXmBtk4r/vNFPualRrr1Zry9YRkZptSYYFw0NxEvbyzm6AgRETnda5tLcLChHbecOtmjRkUAlpEjcv1x49FhteG1TSW6oxARkQdTSuGF7woxKykCR42L1h3H4VhGjsDYmGAcOzEGL28qhsVq0x2HiIg81PqCauyrbMYVC1N0R3EKlpEjdPlRKThQ34bP8w7pjkJERB7qpe+KEBnkizPTxuiO4hQsI0foxClxiA8PwIoNRbqjEBGRBzpQ34rP8g7i4nlJCPA1647jFCwjR8jHbMKSo1Lw7d4qFFQ26Y5DREQe5pWNxbAphcsWeOYUDcAy4hAXZyTBbBKsyirVHYWIiDyIzaawKqsUiyfGIikqSHccp2EZcYDYUH8cPSEG72eXQykeQI+IiBwjq7gW5fVtOG+25+xttTcsIw7yk5nxKK1txdaSOt1RiIjIQ7yfXQ5/HxNOmTZadxSnYhlxkNOmj4KfjwnvbSvXHYWIiDyAxWrDh7kHcPLUUQjx99Edx6lYRhwkNMAXJ06Owwe5B2C1caqGiIiOzPqCalQ1deAcDzogXl9YRhzonJnxqGxsx4Z91bqjEBGRm3svuxyh/j44frJnHYemNywjDnTS1DgE+5nxfjanaoiIaPjaLVZ8sr0Cp04f7bH7FumOZcSBAnzNOGFKHD7POwQbp2qIiGiYNu6rQWO7BWfM8OyFq11YRhzspKlxqGpqR05Zve4oRETkpr7YdQj+PiYcPSFGd5QRwTLiYMdPioNJgDV5B3VHISIiN6SUwud5B3HMhBgE+nn+FA3AMuJwkcF+yEiJ4oHziIhoWPYcbEJpbStOmjpKd5QRwzLiBCdNjUPegQaU17XqjkJERG5mzS5jZP3EKXGak4wclhEnOGmq8QRas4ujI0RENDRr8g5hRkIYRocH6I4yYlhGnGB8bAhSooO4boSIiIakuqkdW4prcdIU75miAVhGnEJEcOKUOKwvqEZbp1V3HCIichNf51dCqe9H2L0Fy4iTLJ4Uiw6LDZmFtbqjEBGRm/gmvwqRQb6YER+uO8qIYhlxkvmpUfA1C77dW6U7ChERuQGlFNbtrcKiCTEwmUR3nBHFMuIkwf4+mJ0ciW/3VuqOQkREbqCgsgkHG9pxjJfs6Kw7lhEnOmZCDHaUN6CmuUN3FCIicnHf5hsj6Swj5FBHT4iBUsB3BTyKLxER9e/bvdVIjgpCUlSQ7igjjmXEiWYmhiPE34frRoiIqF8Wqw0b9lV7zbFoemIZcSIfswlHjYvGOpYRIiLqR3ZpHZraLV45RQOwjDjdMROiUVzTguLqFt1RiIjIRX2bXw0RYOH4aN1RtGAZcbKuIbcN+7luhIiIerdhXzWmjg5DVLCf7ihasIw42YS4EEQF+2HT/hrdUYiIyAV1WGzYUlyLBeOidEfRhmXEyUQE81IjWUaIiKhXuWV1aLfYsGAsywg50fyxxrqRA/WtuqMQEZGL2Wj/sDovlWWEnKir7XJ0hIiIetq0vwYT4kIQHeKvO4o2LCMjYOqYMIT4+7CMEBHRD1htCpmFtZjvxVM0AMvIiDCbBBlcN0JERD3kHWhAU7vFq9eLACwjI2b+2CjkH2pCdVO77ihEROQiNnG9CAAnlxERuVlEdojIdhF5RUQCnHl7rqyr9W4urNWchIiIXMWm/TVIigpEfESg7ihaOa2MiEgCgN8AyFBKzQBgBnCps27P1aUlRMDfx8SpGiIiAgAopbC5sMbrR0UA50/T+AAIFBEfAEEAyp18ey7Lz8eEmYkRyCrmyAgREQGF1S2obu5ARgrLiNPKiFKqDMA/ABQDOACgXin1ac/LichSEckUkczKykpnxXEJc1IisbO8Hm2dVt1RiIhIsy1FxofTuSmRmpPo58xpmkgA5wIYCyAeQLCIXNbzckqp5UqpDKVURmxsrLPiuIQ5yRHotCrkltXrjkJERJptKa5FqL8PJsaF6I6inTOnaU4GsF8pVamU6gTwFoBFTrw9lzfH3n672jAREXmvrKJazEqOgMkkuqNo58wyUgzgKBEJEhEBcBKAPCfensuLCfFHSnQQtnDdCBGRV2ts68Seg42Yk8wpGsC5a0Y2AlgFYAuAXPttLXfW7bmLOcmRyCqqg1JKdxQiItIku6QeNvX9iLm3c+rWNEqpPyulpiilZiilLldKef0ev+akRKKqqR2ltTxoHhGRt9pSXAsRYFZShO4oLoF7YB1hc5KNJ14W140QEXmtrKJaTIwLQXigr+4oLoFlZIRNHhWKYD8z140QEXkpm01ha3EtN+nthmVkhPmYTZiZFMGRESIiL7WvqgkNbRbM5uLVw1hGNJiVFIFdFY3c+RkRkRfKLjH2NcX1It9jGdEgPTECVpvCjvIG3VGIiGiE5ZbVI9DXjPGx3NlZF5YRDbracE5pneYkREQ00nLL6jEjIQxm7uzsMJYRDUaHByAu1B85pdwtPBGRN7FYbdhRXo8ZCeG6o7gUlhFN0hMjkF3CkREiIm9SUNmMtk4b0hNZRrpjGdFkZmI49lU1o761U3cUIiIaIV3T82kcGfkBlhFNZtrXjWznEXyJiLzG9rJ6BPuZMTaGi1e7YxnRpGuILpuLWImIvEZOWT2mx4dz8WoPLCOaRAT5ISU6CDklHBkhIvIGFqsNO8sbkMb1Ij/CMqJRemIER0aIiLxE/qEmtFu4eLU3LCMazUwMx4H6NhxqbNMdhYiInCzXvjsHbtb7YywjGnUtYuVUDRGR58stq0eIvw/GRgfrjuJyWEY0mh4fBpNwT6xERN7AWLwaBhMXr/4Iy4hGQX4+mDQqFNncEysRkUfrtNqQd6CB60X6wDKi2Uz7IlallO4oRETkJHsONqLDYuN6kT6wjGiWnhSOupZOlNS06o5CRERO0rV4NT0xQnMS18QyotlM+xOTm/gSEXmu3LJ6hAb4ICUqSHcUl8Qyotnk0aHw8zFxESsRkQfLLavHjPhwLl7tA8uIZr5mE6aNCeMiViIiD9VhsWHXgUYuXu0Hy4gLmJUUge1l9bDauIiViMjT7DnYiA4rF6/2h2XEBaQnhqOlw4q9h5p0RyEiIgfLLetavMoy0heWEReQzkWsREQeK6e0HmEBPkjm4tU+sYy4gHExwQjx9zm86RcREXmO7WX1SEsMhwgXr/aFZcQFmEyC6fFhh4fyiIjIM7RbrNhV0YC0BO5fpD8sIy4iLSEceQcaYLHadEchIiIH2V3RiE6rQhoXr/aLZcRFpCWGo91iQz4XsRIReQwuXh0clhEX0bXJF6dqiIg8R25pPcIDfZEYGag7iktjGXERY6O5iJWIyNPkltUjnYtXB8Qy4iJMJsE0LmIlIvIYbZ1W7K5o5M7OBoFlxIWkcxErEZHH2F3RCItNIZ1lZEAsIy6Ei1iJiDxHjn2kO42LVwfEMuJCuIiViMhz5JbWITLIFwkRXLw6EJYRF9K1iHU7ywgRkdvLLWtAWmIEF68OAsuIC+laxJrDLWqIiNxaW6cVew42Ii0hTHcUt8Ay4mK4J1YiIveXd6ABVpvibuAHiWXExaRzESsRkdvL5eLVIWEZcTFcxEpE5P5yS+sRHeyH+PAA3VHcAsuIi+EiViIi95dbVo807nl10FhGXAz3xEpE5N5aO7oWr3KKZrBYRlxQWkI4dpZzESsRkTvaeaABNgWWkSFgGXFBaQlcxEpE5K5yS+sAcPHqULCMuKCuJzCnaoiI3E9uWQNiQvwxOoyLVweLZcQFcRErEZH7yi2rQ1pCGBevDgHLiAviIlYiIvfU0mHB3kNNSEvkzs6GgmXERXERKxGR+9lZbixeTefi1SFhGXFRXMRKROR+uOfV4WEZcVHcEysRkfvJLa1HXKg/RnHx6pCwjLiocTHBCPYzcxErEZEbySmr5/5FhoFlxEWZTILpCeEcGSEichPN7RYUVDZximYYWEZcWFpCOPIOcBErEZE72FHeAMU9rw4Ly4gLS0sIR1unDXsruYiViMjVHV68yjIyZCwjLqxrEWtOKadqiIhcXW5pHUaHBSCOi1eHjGXEhXERKxGR+8gtqz/8IZKGhmXEhXERKxGRe2hs68S+qmakc/HqsLCMuDguYiUicn1cvHpkWEZcHBexEhG5vq7pdE7TDA/LiIs7vCdWLmIlInJZOaX1GBMegNhQf91R3BLLiIvrWsTKdSNERK5rO/e8ekRYRlycySSYHs9FrERErqqBi1ePGMuIG0hL5CJWIiJXtaOsAQDXixwJlhE3wEWsRESuK7esDgC3pDkSTi0jIhIhIqtEZJeI5InIQmfenqfiIlYiIteVU1qPhIhARIdw8epwOXtk5BEAHyulpgCYCSDPybfnkbgnViIi18XFq0fOaWVERMIBLAbwLAAopTqUUnXOuj1P1rWINYdlhIjIpdS3dqKwugVpXLx6RJw5MjIWQCWA50Vkq4g8IyLBPS8kIktFJFNEMisrK50Yx73N4J5YiYhczg4eqdchnFlGfADMAfCEUmo2gGYAd/S8kFJquVIqQymVERsb68Q47i09kYtYiYhcTQ7LiEM4s4yUAihVSm20f78KRjmhYeAiViIi15NbVo/EyEBEBvvpjuLWnFZGlFIVAEpEZLL9pJMA7HTW7Xk6LmIlInI9uaX13NmZAzh7a5pfA1gpIjkAZgH4i5Nvz2NxT6xERK6lrqUDxTUt3NmZA/g488qVUtsAZDjzNrzJjIRwvLypCBarDT5m7q+OiEinbPu0+aykCM1J3B//ormRtMQwLmIlInIR2SV1EOHiVUdgGXEjaQlG++YiViIi/bJL6jAhNgShAb66o7g9lhE3wkWsRESuQSmF7NI6pCdyisYRWEbcCBexEhG5hrK6VlQ1dWBWEqdoHIFlxM3MSAjHTu6JlYhIq+wS40PhTC5edQiWETfDRaxERPpll9bBz2zClNFhuqN4BJYRN5PGPbESEWmXXVKHafFh8PPhn1FH4KPoZsbGhHARKxGRRlabQm5ZPfcv4kAsI27GzEWsRERa7T3UhJYOK2Zy8arDsIy4obTEcOwob0AnF7ESEY247JI6AMBMbtbrMCwjbmhmUgTaLTbsrmjUHYWIyOtsK61DWIAPUqODdUfxGCwjbmi2fZ5yq72dExHRyMkuMXZ2ZjKJ7igeg2XEDSVGBiI62A/billGiIhGUlunFbsqGrlexMFYRtyQiGBWUgS2ldTqjkJE5FV2lNfDalNcL+JgLCNualZSBAoqm1Hf2qk7ChGR19hm3/MqN+t1LJYRNzUr2Xgh5JRyqoaIaKTklNZhTHgA4sICdEfxKCwjbqrrSJFcN0JENHKyS+o4ReMELCNuKjzQF+Njg7GNW9QQEY2IupYOFFa38OB4TsAy4sZmJUViW0kdlFK6oxARebzs0q4j9XJLGkdjGXFjs5IjUN3cgdLaVt1RiIg8XnZJHUS0vOxrAAAgAElEQVS+P2ApOQ7LiBubY1/EuqWYm/gSETnbluJaTIgNQWiAr+4oHodlxI1NHhWKYD8zsopYRoiInMlmU9hSVIuM1EjdUTwSy4gb8zGbMCs5gmWEiMjJCiqb0NBmwZxklhFnYBlxc3OTI5F3oAHN7RbdUYiIPFbXh765KSwjzsAy4ubmpETCpr4/pDURETleVlEtIoN8MTaGR+p1BpYRNzfbPmTIqRoiIufJKq7F3JRIiPBIvc7AMuLmwgN9MWlUCLK4RQ0RkVPUNHdgX2Uz5nCKxmlYRjzA3JRIbCmqhc3GnZ8RETnaVvuHvblcvOo0LCMeYE5yJBraLCiobNIdhYjI42QV1cLHJIePCUaOxzLiAbpWd2dy3QgRkcNlFdVienwYAv3MuqN4LJYRDzA2JhhRwX7ILGQZISJypA6LDdtK6rhexMlYRjyAiGBeaiQ2FVbrjkJE5FFyy+rQbrFhwdgo3VE8GsuIh5g/NholNa04UM+D5hEROcqm/caI87xUlhFnYhnxEF2tfdP+Gs1JiIg8x6b91ZgQF4LoEH/dUTway4iHmDomDCH+PiwjREQOYrUpZBbWYj6naJzOZzAXEpE4AEcDiAfQCmA7gEyllM2J2WgIzCZBRmokywgRkYPkHWhAY7uF60VGQL8jIyJygoh8AuADAGcAGANgGoD/A5ArIveKSJjzY9JgzEuNQv6hJtQ0d+iOQkTk9jYXGh/uuF7E+QYaGTkTwHVKqeKeZ4iID4CzAZwC4E0nZKMh6mrvmwtrcNr00ZrTEBG5t037a5AYGYj4iEDdUTxevyMjSqnbeisi9vMsSql3lFIsIi4iLTEc/j4mTtUQER0hpRQ27a/hepERMqgFrCLykoiEd/s+VUTWOC8WDYe/jxmzkyOwcT/3N0JEdCQKKptQ3dyB+ZyiGRGD3ZrmWwAbReRMEbkOwKcAHnZeLBquheNisKO8AXUtXDdCRDRc6wuMD3WLxsdoTuIdBlVGlFJPAbgWwLsA7gOwWCn1vjOD0fAcPSEaSgEb9nF0hIhouNbtrUJiZCCSo4N0R/EKg52muRzAcwCuAPA/AB+KyEwn5qJhSk+MQJCfGev2sowQEQ2H1abwXUE1Fo2P1h3FawxqPyMALgBwjFLqEIBXRORtGKVktrOC0fD4+Zgwf2wU1hVU6Y5CROSWdpTXo6HNgqMncIpmpAx2muY8exHp+n4TgAVOS0VH5OjxMdhX2YyK+jbdUYiI3E7XepGFHBkZMQPt9Oz/RKTXpcRKqQ4ROVFEznZONBqurhfQeo6OEBEN2bq9VZgYF4K40ADdUbzGQNM0uQDeF5E2AFsAVAIIADARwCwAnwP4i1MT0pBNGxOGyCBfrNtbjfPnJOqOQ0TkNtotVmwurMGl85J1R/EqA5WRC5VSR4vI7QAOwdgdfAOAFQCWKqV4vHoXZDIJFo6PxvqCKiilICK6IxERuYWtxXVo67Rx8eoIG6iMzBWReABLAJzQ47xAGAfNIxe0aHwMPsytQEFlMybEheiOQ0TkFr7Nr4JJgAXjWEZG0kBl5EkAawCMA5DZ7XQBoOynkws6blIsAGDt7kMsI0REg7R2zyHMSY5EeKCv7iheZaBj0zyqlJoK4Dml1Lhu/8YqpVhEXFhSVBDGxwbjqz2VuqMQEbmFQ41t2F7WgOMnx+qO4nUGu2nvjc4OQo53/OQ4bNxXg5YOi+4oREQu7+s9xhaIx0+O05zE+wz22DTkho6fHIsOqw3fFXBvrEREA1m7+xBiQvwxbUyY7iheh2XEg80fG4VAXzPW7uZUDRFRfyxWG77Jr8Jxk2JhMnELxJHGMuLB/H3MWDQ+Gmv3HIJSSnccIiKXlV1ah/rWTq4X0YRlxMMdPzkWJTWt2FfVrDsKEZHLWru7EiYBjp3I49HowDLi4boWYn2569AAlyQi8l5f7DqE2cmRiAjy0x3FK7GMeLikqCBMGR2KT3cc1B2FiMgllda2YEd5A06dNkp3FK/FMuIFTp0+GpuLalDV1K47ChGRy+n6sHbq9NGak3gvlhEvcNr0UVAK+HwnR0eIiHr6ZEcFJo0KwdiYYN1RvBbLiBeYNiYMiZGB+GRHhe4oREQupbqpHZsLa3AaR0W0YhnxAiKC06aPxrq91Whq595YiYi6rNl1CDYFlhHNWEa8xGnTR6PDasPa3dyqhoioy6c7KpAQEYjp8dzrqk4sI15ibkokooP98NF2TtUQEQFAU7sF3+RX4ZRpoyDCva7q5PQyIiJmEdkqIqudfVvUN7NJcEbaaKzJO8ipGiIiAJ9sr0C7xYZzZo7RHcXrjcTIyG8B5I3A7dAAzpuVgLZOGz7lQlYiIryzrQyJkYGYkxypO4rXc2oZEZFEAGcBeMaZt0ODMyc5EgkRgXh3W7nuKEREWlU2tmPd3iqcOyueUzQuwNkjIw8DuB2Ara8LiMhSEckUkczKSh5d1plMJsG5s+Lx7d4q7gCNiLza6pxy2JQxYkz6Oa2MiMjZAA4ppbL6u5xSarlSKkMplREby6MlOtt5sxNgtSmszuboCBF5r3e2lWPamDBMHBWqOwrBuSMjRwP4iYgUAngVwIkissKJt0eDMGlUKKaOCcM7nKohIi9VWNWM7JI6nDc7XncUsnNaGVFK3amUSlRKpQK4FMAXSqnLnHV7NHg/nR2PbSV12HOwUXcUIqIR93pmCUwCnDOTZcRVcD8jXuiCOYnwM5vw8sZi3VGIiEZUp9WG1zNLceKUOIwJD9Qdh+xGpIwopdYqpc4eiduigUWH+OP0GaPx1pZStHZYdcchIhoxn+08iKqmdixZkKI7CnXDkREv9fMFyWhos2B1DteOEJH3WLmxCAkRgVg8iRtMuBKWES+1YGwUxscG4+VNnKohIu9QWNWMdXurcem8JJhN3LeIK2EZ8VIigp8vSMHW4jrsKK/XHYeIyOle3lQMs0lwybwk3VGoB5YRL3bhnEQE+5nx9Nf7dEchInKqhrZOvLKxGGfMGI24sADdcagHlhEvFh7ki58vSMb7OQdQUtOiOw4RkdOs2FCExnYLbjhuvO4o1AuWES93zTHjYBLgmW84OkJEnqmt04rnvi3E4kmxmJEQrjsO9YJlxMuNDg/AT2cn4LXMElTzeDVE5IHe3FKKqqZ23HDcON1RqA8sI4Sli8ej3WLDs9/u1x2FiMihOiw2PPXVPsxMisDCcdG641AfWEYIE+JCcE56PJ5btx8V9W264xAROcwrm4pRXNOC3500ESLcnNdVsYwQAOC20ybDZgP+9dlu3VGIiByioa0Tj6zJx6Lx0Th+Mndy5spYRggAkBQVhCsXpeCNrFLsqmjQHYeI6Ig9ubYANc0duPOMqRwVcXEsI3TYTSdMQKi/D5Z9kAellO44RETDVlrbgme/3Y/zZsUjLZFb0Lg6lhE6LCLID78/ZRK+ya/CW1vKdMchIhoWpRTufCsXZpPgttOn6I5Dg8AyQj9wxcJUZKRE4t73d+BQAxezEpH7eT2zBN/kV+HOM6YgISJQdxwaBJYR+gGTSfDQhelot9hw19vbOV1DRG7lQH0rHlidh6PGRWHJghTdcWiQWEboR8bFhuCWUyfh87yDeGF9oe44RESD0mGx4dcvb4XFpvC3C9Jh4pF53QbLCPXq2mPG4eSpo3D/B3lYX1ClOw4R0YDueX8HMotq8dCF6UiJDtYdh4aAZYR6ZTIJ/n3JTIyNCcZNK7eguJoH0iMi1/XShiK8vLEYNx4/HufMjNcdh4aIZYT6FBrgi6evyIBNAT97egOKqpt1RyIi+pHXN5fgT+9ux4lT4nDrqZN1x6FhYBmhfo2NCcbKaxegpcOCS57agH2VTbojEREd9vLGYtz+Zg6OnRiLx5fMgZnrRNwSywgNaEZCOF6+7ih0WG346ePr8fnOg7ojEZGXa7dYcc97O3DX27k4cUocll8+FwG+Zt2xaJhYRmhQpo4Jw9u/XITEyEBc+2Im7l+9E83tFt2xiMgL5R9sxMVPfof/rS/E1Uen4snLWETcnY/uAOQ+UqKD8eaNi7Dsgzw8++1+vLutHLecOgkXzEmEnw97LRE518GGNjyyJh+vbipGiL8PnrxsDk6fMUZ3LHIAcaWdWmVkZKjMzEzdMWgQsopq8ZcP85BVVIvoYD9cMDcRZ6WNwfT4MPiYWUyIyDEa2jrxXUE13swqxZpdhyAALjsqBb85aSKigv10x6MBiEiWUipjwMuxjNBwKaXw1Z5KvLqpBJ/nHYTFphDq74NZyREYHxuClOgghAX4ItjfByH+Pgj2N8PfxwyzSWA2ASYRmE1y+P9AXzPCAn25AI3Ig9hsCi2dVrS0W9DcYUWHxQarTcGmFKw2BatSsNmMr5s7LKht7sTBxjbsq2zG7opG7Civh00BMSHGh56fz0/mPkTcCMsIjajqpnasK6jGdwXVyC2rw/7KZjR3WId1XRFBvkiICERSZBCmjAnF9PhwzE2J5KcgIhellMLeQ03ILq3H9rJ6FFQ2oay2FRUNbWgZ5vvAqDB/jIsJwbyxUVg4LhpzUyI5HeyGWEZIK6UUapo70NhmQXOHBc3tVjS3W9BuscJqww8+DXV93dJhRX1rJ6qa2lFW14ri6hbsr26GUoAIkJYQjhMmx+G82QnGJscrgbvvBoqLgeRkYNkyYMkS3fecyDtYbQrr9lZhdU45vt5ThQr7gTUDfc2YOCoEiZGBGBMeiNAAHwT5mRHkZ4yO+pnNPxwZNQnM9q+D/MyIDPJDbKg/gv25pNETsIyQR2hutyDvQAO+K6jG1/mVyCqqNYZsKyZg+2sT0d72/SeloCBg+XIWEiJnqmpqx4vrC/HK5hJUNrYjNMAHiyfG4tiJMchIjcLYmGBOtdJhLCPkkQ42tOHdbWX4zbkJaK8L+NH5KSlAYeHI5yLydNVN7Xh0TT5e3VyCdosNJ06Jw0VzE3HClDhuVkt9GmwZ4TgYuZVRYQFYung8bqjvvUQXF49wICIP12Gx4dlv9+O/X+5Fa6cVF81NxHWLx2F8bIjuaORBWEbILSUnC4qKfnx6aHQHGtoEYQG+Ix+KyMPkltbjtlXZ2FXRiJOnxuGOM6ZiQhxLCDkelyaTW1q2zFgj0p2vvw1+C3fgtH9/jfsfbkJqKmAyAampwMqVOlISuSebTeGxL/Jx3uPrUNPcgeWXz8UzV85jESGn4cgIuaWuRao/3JrGhOmLx+LS2/3w51UBUPa91RcVAUuX/vDniKh31U3tuPn1bHy9pxLnzIzHA+fOQHgQRxrJubiAlTxOcrJCScmPV/NzcStR//YcbMTVz29GZVM7/nzONPx8fjJEuGUMDR8XsJLXKi3t/c2Ti1uJ+vZNfiV+uWILAvzMWHXDQqQnRuiORF6Ea0bI4yQn9356fIJtZIMQuYnVOeW4+vnNSIgMxLs3Hc0iQiOOZYQ8Tm+LW8XXiqBFeSiqbtYTishFvb65BL95ZSvmJEfijRsWIj4iUHck8kIsI+Rxliwx9sSakmLsRj4lBfjrv9oRPL0MFz35HQqrWEiIAOCVTcW4/c0cHDMxFi/8Yj5CuUk8acIFrOQ1dlc04tLl3yHIzwevXX8UEiODBv4hIg/11pZS3PJGNo6fFIsnL58Lfx/uRZUcb7ALWDkyQl5j8uhQvHTNAjS0dWLJMxtxqLFNdyQiLT7KPYBb38jGovHReOIyFhHSj2WEvMqMhHC88Iv5qGxsx9XPb0ZTu0V3JKIRtWFfNX776jbMTo7E01dk8Lgy5BJYRsjrzEmOxH+XzMGuikbcuCILHRZuZUPeYXdFI657MRNJUYF49soMBPlx7w7kGlhGyCudMDkOf/1pGr7Jr8Kf3t0OV1o7ReQMVU3t+MX/NiPQ14wXfjEfEUF+uiMRHcYyQl7r4nlJuOmE8Xh1cwl+eW8Vj2VDHqvTasMvV25BVVM7nr1yHhdvk8vhGB15tVtOmYzVb/niqecieSwb8lj3vb8Tm/bX4JFLZyEtMVx3HKIf4cgIeTWTSbD/o3FQlh/28pYW4yB8RO7u1U3FeGlDEZYuHodzZyXojkPUK5YR8no8lg15qqyiWvzx3e04dmIM/nD6FN1xiPrEMkJer69j2fR1OpE7ONjQhhtWZCE+IhCP/WwOzCYefZdcF8sIeb3ejmXjF2DDsmV68hAdKatN4devbEVzuwVPX5GB8CDu5p1cG8sIeb0fHstGITi6HVGn5WDuSQ26oxENy3++yMem/TV44LwZmDQqVHccogGxjBDBKCSFhYDNJigsBBLnVeFXL29FSwf30EruZcO+ajy6Jh/nz0nA+XMSdcchGhSWEaIeYkL88e+LZ6Ggsgn3vb9TdxyiQatp7sDvXt2GlOhg3H/uDN1xiAaNZYSoF8dMjMGNxxk7RHs/u1x3HKIBKaVw2xvZqGnuwH9+NhvB/tyNFLkPlhGiPtx8yiTMSY7AXW/lori6RXccon49v64Qa3Ydwp1nTsGMBO7YjNwLywhRH3zNJjxy6WyIAL99bSssVh5Qj1xT3oEGPPjRLpw8NQ5XLUrVHYdoyFhGiPqRFBWE+8+bga3FdXjq63264xD9SIfFht+/no2wQB/87YJ0iHB/IuR+WEaIBvCTmfE4K30MHv58D3aWc3Nfci2PrNmDvAMN+Ov56YgO8dcdh2hYWEaIBiAieODcGYgI8sPvX9+GdotVdyQiAMbu3p9YW4CLMxJxyrRRuuMQDRvLCNEgRAb74W8XpGFXRSP+/Vm+7jhEaOmw4NY3sjEmPBB/PHua7jhER4RlhGiQTpwyCj+bn4Snvi5AZmGN7jjk5R78aBf2VzXjHxfNRGgAd/dO7o1lhGgI7j5rGhIjA/H717PR3M69s5Ie3+RX4sXvinDNMWOxcHy07jhER4xlhGgIQvx98I8LZ6KktgV//2S37jjkhZraLbjjzVyMjw3GbadN1h2HyCFYRoiGaMG4aFy5MBUvfFeIzZyuoRH29493oby+FQ9dOBMBvmbdcYgcgmWEaBhuO20yEiIC8YdVOWjr5NY1NDI2F9bgxQ1FuGpRKuamROqOQ+QwTisjIpIkIl+KyE4R2SEiv3XWbRGNtGB/Hzx4fjr2VTXj4c+5dQ05X1unFX94MwcJEYG49VROz5BncebIiAXALUqpaQCOAnCTiHD7M/IYx0yMwSUZSVj+dQFySut0xyEP9+iafOyrbMZfz0/jQfDI4zitjCilDiiltti/bgSQByDBWbdHpMNdZ01FbKg/bl+Vgw4Lj11DzrG9rB5Pfb0PF81NxLETY3XHIXK4EVkzIiKpAGYD2NjLeUtFJFNEMisrK0ciDpHDhAf6Ytl5xs7QHl+7V3cc8kCdVhtuX5WDqGA//N9ZHFwmz+T0MiIiIQDeBPA7pdSPDuyhlFqulMpQSmXExrLxk/s5edoonDsrHv/9ci92VzTqjkMe5ulv9mHngQbcf+4MhAdx52bkmZxaRkTEF0YRWamUesuZt0Wk05/PmY6wAF/cviobFiuna8gxCiqb8PDn+TgzbTROnzFadxwip3Hm1jQC4FkAeUqpfznrdohcQVSwH+49dzrWfRKMUQlWmExAaiqwcqXuZOSubDaFO97MQaCvGff8ZLruOERO5cwl2UcDuBxArohss592l1LqQyfeJpE29bljUP/pKFg6jB1RFRUBS5ca5y1ZojEYuaUVG4uwubAW/7hoJuJCA3THIXIqUUrpznBYRkaGyszM1B2DaFhSU40C0lNKClBYONJpyJ2V1rbgtH9/jbmpUXjh6nkwBpqJ3I+IZCmlMga6HPfASuQgxcVDO52oN0op3P32digAf/npDBYR8gosI0QOkpw8tNOJevPWljJ8tacSfzh9ChIjg3THIRoRLCNEDrJsGRDU42+H2c+KZctcZyqUXFtlYzvuW70TGSmRuPyoFN1xiEYMywiRgyxZAixfbqwREQGiR3Ui4tQcBE8r1x2N3MQ97+1Aa6cVD16QDpOJ0zPkPVhGiBxoyRJjsarNBhws98HiM1pw7/s7UNXUrjsaubiPt1fgg9wD+O1JEzEhLkR3HKIRxTJC5CRmk+BvF6Sjud2Ke9/fqTsOubD6lk788d3tmDYmDEsXj9Mdh2jEsYwQOdHEUaH49YkT8H52OT7beVB3HHJRyz7ciZrmDjx0YTp8zXxbJu/DZz2Rk11/3HhMGR2K/3snF/WtnbrjkIv5Nr8Kr2eWYunicZiREK47DpEWLCNETubnY8JDF6ajsrEdD36UpzsOuZCWDgvueCsH42KC8duTJuqOQ6QNywjRCEhPjMB1x47DK5tKsH5vle445CIe+ng3Smtb8eAF6QjwNeuOQ6QNywjRCLn5lElIjQ7CHW/lorXDqjsOaba5sAYvfFeIKxemYP7YKN1xiLRiGSEaIQG+Zjx4QTqKa1rwr892645DGrV2WHH7qhwkRgbi9tOn6I5DpB3LCNEIOmpcNJYsSMaz3+7HtpI63XFIk39+uhv7q5rxtwvSEezvzIOnE7kHlhGiEXbHGVMwKiwAt6/KRofFpjsOjbCsolo8u24/lixIxqLxMbrjELkElhGiERYa4ItlP52BPQeb8Pjavbrj0Ahq67Ti9lXZiA8PxJ1nTtUdh8hlsIwQaXDilFE4d1Y8/vvlXuyuaNQdh0bIw5/no6CyGX89Pw0hnJ4hOoxlhEiTP509DaEBvrhtVTYsVk7XeLrskjos/7oAl2QkYfGkWN1xiFwKywiRJtEh/njgvBnIKa3HE2sLdMchJ2q3WHHbqmyMCgvA3WdzeoaoJ5YRIo3OTBuDc2bG45E1+dhRXq87DjnJf9bsxZ6DTfjL+WkIC/DVHYfI5bCMEGl230+mIzLYD7e8zq1rPFFuaT2e+KoAF8xJxAmT43THIXJJLCNEmkUG++HB89Owq6IRj67J1x2HHKit04qbX9+G2BB//OnsabrjELkslhEiF3DS1FG4aG4iHl+7lztD8yB/+3gX9h5qwt8vSkd4EKdniPrCMkLkIv54zjSMDgvALa9vQ1snj13j7tbtrcLz6wpx1aJUHDuRW88Q9YdlhMhFhAX44qELZ6KgshkPfrRLdxw6AvWtnbj1jWyMiw3GH3jsGaIBsYwQuZBjJsbgmmPG4n/rC/HlrkO649Aw/fnd7ahsbMfDl8xCoJ9Zdxwil8cyQuRibjttMqaMDsVtq7JR2diuOw4N0eqccryzrRy/PnEi0hMjdMchcgssI0QuJsDXjEd/NhsNbRbcviobSindkWiQyupacffb2zEzKQI3nTBedxwit8EyQuSCJo0KxV1nTMGXuyvx0oYi3XFoECxWG377ylZYbQqPXDILPma+vRINFl8tRC7qykWpOG5SLJZ9kIc9B3kwPVf36Jp8ZBbVYtlPZyA1Jlh3HCK3wjJC5KJEBH+/KB0h/j74zStbubmvC1tfUIX/fLkXF81NxLmzEnTHIXI7LCNELiwuNAD/vHgmMteEYlS8FSYTkJoKrFypOxl1qW5qx82vbcPYmGDce+503XGI3JKP7gBE1L+yzDg0fBaDznbjs0NREbB0qXHekiUagxGUUrhtVQ5qWzrx3FXzEOTHt1Si4eDICJGLu/tuHC4iXVpajNNJr2e+2Y8vdh3C3WdOxfT4cN1xiNwWywiRiysuHtrpNDK+K6jGgx/vwhkzRuOKhSm64xC5NZYRIheXnNz76UlJ3P+ILgfqW/Grl7cgNToIf79oJkREdyQit8YyQuTili0DgoJ+eJr4WHDmL6r0BPJy7RYrfrlyC9o6rXjq8rkI8ec6EaIjxTJC5OKWLAGWLwdSUgARIDlZ4ZirC/FZ+2Zs3FetO57XuX/1TmwtrsPfL5qJCXGhuuMQeQSWESI3sGQJUFgI2GxAUZFg9aMpSI4Owo0rt6C0tkV3PK+xKqsUKzYU4/rF43Bm2hjdcYg8BssIkRsKC/DF01dkoNNqw3UvZqGlw6I7ksfbWlyLu9/OxcJx0bjttMm64xB5FJYRIjc1PjYEj/5sNnZVNOC2N3J4QD0nKqlpwXUvZmJUWAAe+/lsHneGyMH4iiJyYydMjsMdp0/BB7kH8NgXe3XH8UgNbZ245oXN6LDY8NxV8xAd4q87EpHH4TJwIje3dPE47KpoxD8/24OkqCCcN5vHRnEUi9WGm1Zuwb7KZrz4i/mYEBeiOxKRR2IZIXJzIoIHL0jDgfpW3PpGNqJD/HDsxFjdsdyeUgp/fm8Hvsmvwt8uSMOiCTG6IxF5LE7TEHkAfx8zll+RgQlxIbjhpSxsL6vXHcntPf3NPqzcWIwbjhuPS+b1sec5InIIlhEiDxEW4Iv/XT0fEUF+uOr5zSiu5ia/w/Xa5mL85cNdOCttDG7nljNETscyQuRBRocH4IVfzEOn1YYrn9+E6qZ23ZHczuqcctzxVi6OmxSLf18yCyYTd/VO5GwsI0QeZkJcKJ69MgPlda244rlNqGvp0B3JbXy56xB+9+o2zEuJwpOXzYWfD98iiUYCX2lEHigjNQpPXT4X+YeasOSZjSwkg7BhXzVuWJGFKWNC8cxVGQj0M+uOROQ1WEaIPNTxk+Ow/PK5yD/YhMueZSHpT2ZhDa59IRPJUUF48RcLEBbgqzsSkVdhGSHyYMdPjsNTV8zFnoomXP7sJtS3dOqO5HK+3lOJy5/dhLhQf7x0zQJEBfvpjkTkdVhGiDzcCZPj8NTlc7G7ohGXP7cRNc0cIeny8fYKXPtCJlJjgvHa9QsxOjxAdyQir8QyQuQFTpgShycvn4PdFY045rq9SEyywWQCUlOBlSt1p9PjrS2luOnlLZieEIZXrzsKsaHczTuRLiwjRF7ixCmjcFnMsdi1ajLKSk1QCigqApYu9b5C8sL6Qvz+9WwsGBuFFdcsQHgQ14gQ6cQyQuRFnn04BKrzh1uJtLQAd9+tKdAI67Ta8Md3tuPP7+3AyVNH4bmr5iHYn0fFINKNr0IiL1JcPLTTPUltcwd+uXILvttXjaWLx1nWDhUAAAvnSURBVOEPp0+BmTs0I3IJLCNEXiQ52Zia6Sk0ugPtFjP8fTxz3xr5Bxtx7YuZOFDXhn9cNBMXzk3UHYmIuuE0DZEXWbYMCAr64Wm+/jb4HrUDlzy1ASU1nnc8m49yD+Cnj69HS4cVr15/FIsIkQtiGSHyIkuWAMuXAykpgIjx//PPmrDir6NRcKgJZz76DT7IOaA7pkO0dVpx19u5uHHlFoyPC8F7vzoac5Ijdcciol6IUkp3hsMyMjJUZmam7hhEXqmkpgW/fmUrtpXU4fzZCfjzOdPddiuTrcW1uPWNbBRUNuP648bhllMm8zgzRBqISJZSKmOgy/HVSUQAgKSoILxxw0L85sQJeDe7HKf8+yt8sqMCSimsXGnsk8TV903S0mHBXz/MwwVPrEdrhxUvXTMfd54xlUWEyMVxZISIfmR7WT1ufSMbuyoakVwzGZkrxqO19fstT4KCjOmeJUs0huxGKYVPdhzE/at3oqyuFZfOS8JdZ03lMWaINBvsyAjLCBH1qtNqwwvrC3HjOWNgqQ/80fkpKUBh4cjn6mlrcS0e/GgXNu6vwZTRobjv3BmYPzZKdywiwuDLCDftJaJe+ZpNuPbYcVja0PsHFt37JtlWUofHvtiLz/MOIibED/efOx0/m58MHzOnZIjcDcsIEfUrOVl63zdJTAd2VbQha00Y7r7bKCfJycbmw86avum02vD5zoN44btCbNhXg/BAX9x88iRcc+xYhHBPqkRuy6mvXhE5HcAjAMwAnlFKPejM2yMix1u2zDh+TUu3XZD4+NkQtGgnjrlOoe6TdFjtu5jvOtbNunXAhx8aBSUqCmhrA5qbf3i9JhNw/fXA44/3f/tKKewob8C728rw7rZyHGpsR0JEIO48YwqWHJXCEkLkAZy2ZkT+v737jZGrKuM4/v1l2wVskS1tgdJSbAFRxBfWUkFRkSKUxlA0akqagGJCqqmRF0YhJATFxKDRFyYiQSWKKRZQ0YaUQBHUGAMWm7a0lNItouymf6iUYtXSAo8v7im53c50Z//cOTM7v08y2Tv3npl9npx7Z56558wdqQt4Dvg40AesAa6KiGfqPcZzRsxa0/LlHHH2Y+GVBzjzDPHyzhqTRBUQjV1qffx4OHDg8HU79u5n7T/38Ofe3fxxy0v0v/I/xneJj75zKovPm8nH3nWSL+Vu1gZaYc7IPKA3Ip5PAa0AFgF1ixEza01LltQaeulmz646D2iwEAE4eDA4buIbfP2eLWx7aR9bd+5jx6v7AZjQ3cWHzpzCly8+kwXnnkLP27qHFb+ZtbYqi5HpwIul+33AByr8f2bWZPV+62ZoxP7/dHH/Uy8ye+pELjhjMu+dfgJzTp/EOdPe7muEmHWA7IOtkq4DrgOYOXNm5mjMbChqzSeRYDijvxu/cRmSh17MOlGVHzn6gdNK92ekdYeJiDsjYm5EzJ06dWqF4ZjZaKv1WzdLlx75Y3yDkwsRsw5WZTGyBjhL0ixJ3cBiYGWF/8/MMliypLj42ZtvFn9vv/3wAmXyZJgw4ejP0dPTjEjNrFVVVoxExOvAMuBhYDNwX0Rsqur/mVnrKBcou3fDvn3F0E3EkYVHTw/s2ZMlTDNrEZXOGYmIVcCqKv+HmbUXFx5mNpCnqZuZmVlWLkbMzMwsKxcjZmZmlpWLETMzM8vKxYiZmZll5WLEzMzMsnIxYmZmZlm5GDEzM7OsXIyYmZlZVi5GzMzMLCsXI2ZmZpaVixEzMzPLShGRO4a3SHoJ+EcFTz0F2F3B87aaTsjTOY4dnZBnJ+QInZGncxye0yNi6mCNWqoYqYqkpyJibu44qtYJeTrHsaMT8uyEHKEz8nSO1fIwjZmZmWXlYsTMzMyy6pRi5M7cATRJJ+TpHMeOTsizE3KEzsjTOVaoI+aMmJmZWevqlDMjZmZm1qJcjJiZmVlWY6YYkfQZSZskvSlp7oBtN0rqlbRF0mV1Hj9L0pOp3b2SupsT+fClONel2wuS1tVp94Kkp1O7p5od50hIukVSfynPhXXaLUj92yvphmbHORKSvivpWUkbJD0gqadOu7bsx8H6RtIxaV/uTcfgO5of5fBJOk3S45KeSa9BX6nR5iJJe0v78c05Yh2JwfY/FX6Q+nGDpDk54hwJSWeX+midpFclXT+gTdv1paS7JO2StLG07kRJqyVtTX8n1XnsNanNVknXVBZkRIyJG/Bu4GzgD8Dc0vpzgPXAMcAsYBvQVePx9wGL0/IdwBdz5zTE/L8H3Fxn2wvAlNwxDjOvW4CvDtKmK/XrbKA79fc5uWMfQo6XAuPS8m3AbWOlHxvpG+BLwB1peTFwb+64h5jjNGBOWj4eeK5GjhcBD+aOdYR5HnX/AxYCDwECzgeezB3zCPPtAnZQXLSrrfsS+AgwB9hYWvcd4Ia0fEOt1x3gROD59HdSWp5URYxj5sxIRGyOiC01Ni0CVkTEaxHxd6AXmFduIEnAxcCv0qqfA1dWGe9oSvF/Fvhl7lgymQf0RsTzEXEAWEHR720hIh6JiNfT3SeAGTnjGWWN9M0iimMOimNwftqn20JEbI+ItWn538BmYHreqLJYBNwdhSeAHknTcgc1AvOBbRFRxVXBmyoi/gS8PGB1+bir9553GbA6Il6OiD3AamBBFTGOmWLkKKYDL5bu93HkC8Vk4JXSG0KtNq3sw8DOiNhaZ3sAj0j6m6TrmhjXaFmWTvveVedUYiN93C6upfh0WUs79mMjffNWm3QM7qU4JttOGmJ6H/Bkjc0XSFov6SFJ72lqYKNjsP1vLB2HUJylq/cBr937EuDkiNielncAJ9do07Q+HVfFk1ZF0qPAKTU23RQRv2t2PM3QYM5XcfSzIhdGRL+kk4DVkp5NlXJLOFqOwI+AWyleCG+lGI66tnnRjY5G+lHSTcDrwPI6T9PS/djpJE0Efg1cHxGvDti8luJ0/7407+m3wFnNjnGEOmb/S3MGrwBurLF5LPTlYSIiJGW9zkdbFSMRcckwHtYPnFa6PyOtK/sXxSnFcemTWa02WQyWs6RxwKeA9x/lOfrT312SHqA4dd4yLyKN9qukHwMP1tjUSB9n1UA/fg74BDA/0mBtjedo6X6so5G+OdSmL+3PJ1Ack21D0niKQmR5RPxm4PZycRIRqyTdLmlKRLTND681sP+1/HE4BJcDayNi58ANY6Evk52SpkXE9jSctqtGm36KOTKHzKCYlznqOmGYZiWwOM3Yn0VRwf613CC9+D8OfDqtugZolzMtlwDPRkRfrY2SJkg6/tAyxWTJjbXatqIBY86fpHbsa4CzVHwjqpvi9OrKZsQ3GiQtAL4GXBER/63Tpl37sZG+WUlxzEFxDD5WryBrRWl+y0+BzRHx/TptTjk0D0bSPIrX3rYpuBrc/1YCV6dv1ZwP7C0NA7Sbumeb270vS8rHXb33vIeBSyVNSkPkl6Z1o6/Zs3qrulG8UfUBrwE7gYdL226imNG/Bbi8tH4VcGpank1RpPQC9wPH5M6pwbx/BiwdsO5UYFUpr/XptoliWCB73EPI7xfA08AGioNn2sAc0/2FFN9i2NaGOfZSjMuuS7dD3ywZE/1Yq2+Ab1IUXwDHpmOuNx2Ds3PHPMT8LqQYRtxQ6sOFwNJDxyawLPXbeopJyh/MHfcQc6y5/w3IUcAPUz8/Telbje10AyZQFBcnlNa1dV9SFFbbgYPpffILFPOyfg9sBR4FTkxt5wI/KT322nRs9gKfrypGXw7ezMzMsuqEYRozMzNrYS5GzMzMLCsXI2ZmZpaVixEzMzPLysWImZmZZeVixMzMzLJyMWJmZmZZuRgxs6aQdF76wcNj0xU9N0k6N3dcZpafL3pmZk0j6VsUV1w9DuiLiG9nDsnMWoCLETNrmvT7NGuA/RSX0X4jc0hm1gI8TGNmzTQZmAgcT3GGxMzMZ0bMrHkkrQRWALMofvRwWeaQzKwFjMsdgJl1BklXAwcj4h5JXcBfJF0cEY/ljs3M8vKZETMzM8vKc0bMzMwsKxcjZmZmlpWLETMzM8vKxYiZmZll5WLEzMzMsnIxYmZmZlm5GDEzM7Os/g88fCUe8SXvfAAAAABJRU5ErkJggg==\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "tags": [], - "needs_background": "light" - } - } - ] - }, - { - "cell_type": "code", - "metadata": { - "colab": { - "base_uri": "https://localhost:8080/" - }, - "id": "g4tDyDvEdh4_", - "outputId": "6744fd43-d5ef-4a6b-a0a4-3a8679e88623" - }, - "source": [ - "grad_output[1]" - ], - "execution_count": null, - "outputs": [ - { - "output_type": "execute_result", - "data": { - "text/plain": [ - "array([-3.01143616, 6.72279107, -4.14655271, 2.91878012, -6.76300996,\n", - " 4.89485449, 2.29724203, -6.26665275, -2.59482101, 6.65188675,\n", - " -2.87787679, 6.76986017, -5.02420532, -3.16954651, 6.56998637,\n", - " -1.50249925, 4.43125016, -1.03887977, 3.10454992, -6.64612123,\n", - " 2.77776915, -6.75995586, 4.83735732, 1.89203735, -5.43622563,\n", - " -5.24801587, -4.47009986, 0.7644714 , -2.29080396, 6.25588804,\n", - " 2.7088297 , -6.73226045, 4.32097251, -1.7977997 , 5.20722358,\n", - " 4.25882695, -2.20964135, 6.11255034, 4.0134673 , -3.69251039,\n", - " 5.21272267, 4.28807589, -2.01738673, 5.7225938 , 5.6211889 ,\n", - " 5.6193303 , 5.61787471, 5.61670025, 5.61573056])" - ] - }, - "metadata": { - "tags": [] - }, - "execution_count": 37 - } - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "UaxhaWkK5bNt" - }, - "source": [ - "## Initial value and learning rate are important\n", - "\n", - "### From the above exercises of changing the initial value and learning rate we can conclude that gradient descent is not guaranteed to converge to the global minimum. Having a really low learning rate can make convergence slower (more iterations before finding minimum) and make it more likely to get stuck at local minima. A very high learning rate may be even more problematic as gradient descent may never converge (try $\\lambda$ = 6 in the code). The initial value is also important for finding the global minimum. If we start close to the global minimum, we are more likely to find it in the above example even with a smaller than ideal learning rate.\n", - "\n", - "### The diagram below shows even with multiple variables different initial values can lead to different local minima from gradient descent." - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "IT7IiypuhnfS" - }, - "source": [ - "![GradDescentMult.png](data:image/png;base64,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)" - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "ToQ5vmXp5bNt" - }, - "source": [ - "## Example: Minimizing multiple variable function\n", - "\n", - "### Let us consider the following straight forward bivariate function $$f(x,y) = x^2 + y^2 + 1.$$ Since this a function of two variables, we have have the following partial derivatives $$\\frac{df(x)}{dx} = f_{x} = 2x \\text{ and } \\frac{df(y)}{dy} = f_{y} = 2y.$$ Note that its easy to argue that the global minimum of $f(x,y)$ is (0,0) since $f(0,0) = 1$ and $f(x,y) \\ge 1.$\n" - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "sQZ-w8Be5bNt", - "colab": { - "base_uri": "https://localhost:8080/", - "height": 418 - }, - "outputId": "cc21dfb8-1656-4505-d8a4-b33339659eae" - }, - "source": [ - "# Plotting in 3D\n", - "from mpl_toolkits.mplot3d import Axes3D\n", - "from matplotlib import cm\n", - "from matplotlib.ticker import LinearLocator, FormatStrFormatter\n", - "\n", - "# f(x,y) = x^2 + y^2 + 1\n", - "def f(x,y):\n", - " return x**2 + y**2 + 1\n", - "\n", - "# (X,Y) grid on [-5,5]\n", - "y = arange(-5, 5, 0.25)\n", - "y = arange(-5, 5, 0.25)\n", - "X, Y = meshgrid(x, y)\n", - "\n", - "\n", - "# z = x^2 + y^2\n", - "Z = f(X,Y)\n", - "\n", - "# Plot (X,Y) in 3D\n", - "fig = figure(1)\n", - "ax = fig.gca(projection='3d')\n", - "surf = ax.plot_surface(X, Y, Z, rstride=1, cstride=1, cmap=cm.RdBu,linewidth=0, antialiased=False)\n", - "\n", - "ax.zaxis.set_major_locator(LinearLocator(10))\n", - "ax.zaxis.set_major_formatter(FormatStrFormatter('%.02f'))\n", - "fig.colorbar(surf, shrink = 0.7, aspect=5)\n", - "show()" - ], - "execution_count": null, - "outputs": [ - { - "output_type": "display_data", - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": { - "tags": [], - "needs_background": "light" - } - } - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "VpjQBORX5bNt" - }, - "source": [ - "## Finding global minimum using gradient descent\n", - "\n", - "### For this example the gradient descent algorithm is simplified to\n", - "\n", - "$$\n", - "\\begin{bmatrix}\n", - " x^{t+1} \\\\ \n", - " y^{t+1}\n", - "\\end{bmatrix}\n", - "=\n", - "\\begin{bmatrix}\n", - " x^{t} \\\\ \n", - " y^{t}\n", - "\\end{bmatrix}\n", - "-\n", - "\\lambda\n", - "\\begin{bmatrix}\n", - " 2x^{t} \\\\ \n", - " 2y^{t} \\\\ \n", - "\\end{bmatrix},\n", - "$$\n", - "\n", - "### where $t$ is the gradient descent iteration. " - ] - }, - { - "cell_type": "markdown", - "metadata": { - "id": "rtT6_Mdg5bNu" - }, - "source": [ - "# Conclusion\n", - "\n", - "### Gradient descent is a first order (requires first derivative) optimization algorithm used to minimize a given objective function. The algorithm depends on the initial value and the learning rate. The idea behind gradient descent is that it takes a seqeuence of steps to go from the starting position to a local minimum. An initial value that is somewhat close to the global minimum is ideal. Too small a learning rate makes it more likely for the algorithm to get stuck at a local minimum. Whereas too high a learning rate makes it more likely that the algorithm will skip over the global minimum. As we discussed in this notebook, the gradient descent can be applied to any first differentiable function (single or multiple variabe) to approximate the minimums (can be local minimums) even if analytical ($f'(x) = 0$ solve for x) solutions are difficult." - ] - }, - { - "cell_type": "code", - "metadata": { - "id": "yE6Tc3m7EMSO" - }, - "source": [ - "" - ], - "execution_count": null, - "outputs": [] - } - ] -} \ No newline at end of file