{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "[Table of Contents](./table_of_contents.ipynb)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# The g-h Filter" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "scrolled": false }, "outputs": [], "source": [ "%matplotlib inline\n", "from __future__ import division, print_function" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\n", " \n", " " ], "text/plain": [ "" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "#format the book\n", "import book_format\n", "book_format.set_style()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Before we start, be sure you understand how to use [Jupyter Notebooks](http://jupyter.org/), and are familiar with the [SciPy](https://scipy.org), [NumPy](http://www.numpy.org/), and [Matplotlib](https://matplotlib.org/) packages, as they are used throughout this book. The Preface contains an introduction to these packages." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Building Intuition via Thought Experiments" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Imagine that we live in a world without scales - the devices you stand on to weigh yourself. One day at work a co-worker comes running up to you and announces her invention of a 'scale' to you. After she explains, you eagerly stand on it and announce the results: \"172 lbs\". You are ecstatic - for the first time in your life you know what you weigh. More importantly, dollar signs dance in your eyes as you imagine selling this device to weight loss clinics across the world! This is fantastic!\n", "\n", "Another co-worker hears the commotion and comes over to find out what has you so excited. You explain the invention and once again step onto the scale, and proudly proclaim the result: \"161 lbs.\" And then you hesitate, confused.\n", "\n", "\"It read 172 lbs a few seconds ago\", you complain to your co-worker. \n", "\n", "\"I never said it was accurate,\" she replies.\n", "\n", "Sensors are inaccurate. This is the motivation behind a huge body of work in filtering, and solving this problem is the topic of this book. I could just provide the solutions that have been developed over the last half century, but these solutions were developed by asking very basic, fundamental questions into the nature of what we know and how we know it. Before we attempt the math, let's follow that journey of discovery, and see if it informs our intuition about filtering. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Try Another Scale**\n", "\n", "Is there any way we can improve upon this result? The obvious, first thing to try is get a better sensor. Unfortunately, your co-worker informs you that she has built 10 scales, and they all operate with about the same accuracy. You have her bring out another scale, and you weigh yourself on one, and then on the other. The first scale (A) reads \"160 lbs\", and the second (B) reads \"170 lbs\". What can we conclude about your weight?\n", "\n", "Well, what are our choices?\n", "\n", "* We could choose to only believe A, and assign 160lbs to our weight estimate.\n", "* We could choose to only believe B, and assign 170lbs to our weight.\n", "* We could choose a number less than both A and B.\n", "* We could choose a number greater than both A and B.\n", "* We could choose a number between A and B.\n", "\n", "The first two choices are plausible, but we have no reason to favor one scale over the other. Why would we choose to believe A instead of B? We have no reason for such a belief. The third and fourth choices are irrational. The scales are admittedly not very accurate, but there is no reason at all to choose a number outside of the range of what they both measured. The final choice is the only reasonable one. If both scales are inaccurate, and as likely to give a result above my actual weight as below it, more often than not the answer is somewhere between A and B. \n", "\n", "In mathematics this concept is formalized as [*expected value*](https://en.wikipedia.org/wiki/Expected_value), and we will cover it in depth later. For now ask yourself what would be the 'usual' thing to happen if we took one million readings. Some of the times both scales will read too low, sometimes both will read too high, and the rest of the time they will straddle the actual weight. If they straddle the actual weight then certainly we should choose a number between A and B. If they don't straddle then we don't know if they are both too high or low, but by choosing a number between A and B we at least mitigate the effect of the worst measurement. For example, suppose our actual weight is 180 lbs. 160 lbs is a big error. But if we choose a weight between 160 lbs and 170 lbs our estimate will be better than 160 lbs. The same argument holds if both scales returned a value greater than the actual weight.\n", "\n", "We will deal with this more formally later, but for now I hope it is clear that our best estimate is the average of A and B. \n", "\n", "$$\\frac{160+170}{2} = 165$$\n", "\n", "We can look at this graphically. I have plotted the measurements of A and B with an assumed error of $\\pm$ 8 lbs. The measurements falls between 160 and 170 so the only weight that makes sense must lie within 160 and 170 lbs. " ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "scrolled": false }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import kf_book.book_plots as book_plots\n", "from kf_book.book_plots import plot_errorbars\n", "plot_errorbars([(160, 8, 'A'), (170, 8, 'B')], xlims=(150, 180))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "A word on how I generated this plot. I import code from the module book_plots in the `kf_book` subdirectory. Generating this plot takes a lot of boilerplate Python that isn't interesting to read. I take this tack often in the book. When the cell is run `plot_errorbars()` gets called and the plot is inserted into the book.\n", "\n", "If this is your first time using [Jupyter Notebook](http://jupyter.org/), the code above is in a *cell*. The text \"In [2]:\" labels this as a cell where you can enter input, and the number in the bracket denotes that this cell was run second. To run the cell, click on it with your mouse so that it has focus, then press CTRL+ENTER on the keyboard. As we continue you will be able to alter the code inside the cells and rerun them. Try changing the values \"160\", \"170\", and \"10000\" to some other value and run the cell. The printed output should change depending on what you entered.\n", "\n", "If you want to view the code for plot_errorbars, either open it in an editor, or create a new cell and type the function name followed by two question marks. Press Ctrl+Enter, and your browser will open a window displaying the source code. This is a feature of Jupyter Notebooks. If you want to just view the documentation for the function, do the same but with one question mark.\n", "\n", "```Python\n", "\n", " plot_errorbars??\n", "```\n", "or\n", "```Python\n", " plot_errorbars?\n", "```\n", "\n", "So 165 lbs looks like a reasonable estimate, but there is more information here that we might be able to take advantage of. The only weights that are possible lie in the intersection between the error bars of A and B. For example, a weight of 161 lbs is impossible because scale B could not give a reading of 170 lbs with a maximum error of 8 pounds. Likewise a weight of 169 lbs is impossible because scale A could not give a reading of 160 lbs with a maximum error of 8 lbs. In this example the only possible weights lie in the range of 162 to 168 lbs.\n", "\n", "That doesn't yet allow us to find a better weight estimate, but let's play 'what if' some more. What if we are now told that A is three times more accurate than B? Consider the 5 options we listed above. It still makes no sense to choose a number outside the range of A and B, so we will not consider those. It perhaps seems more compelling to choose A as our estimate - after all, we know it is more accurate, why not use it instead of B? Can B possibly improve our knowledge over A alone?\n", "\n", "The answer, perhaps counter intuitively, is yes, it can. First, let's look at the same measurements of A=160 and B=170, but with the error of A $\\pm$ 3 lbs and the error of B is 3 times as much, $\\pm$ 9 lbs." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "scrolled": false }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_errorbars([(160, 3, 'A'), (170, 9, 'B')], xlims=(150, 180))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The overlap of the error bars of A and B are the only possible true weight. This overlap is smaller than the error in A alone. More importantly, in this case we can see that the overlap doesn't include 160 lbs or 165 lbs. If we only used the measurement from A because it is more accurate than B we would give an estimate of 160 lbs. If we average A and B we would get 165 lbs. Neither of those weights are possible given our knowledge of the accuracy of the scales. By including the measurement of B we would give an estimate somewhere between 161 lbs and 163 lbs, the limits of the intersections of the two error bars.\n", "\n", "Let's take this to the extreme limits. Assume we know scale A is accurate to 1 lb. In other words, if we truly weigh 170 lbs, it could report 169, 170, or 171 lbs. We also know that scale B is accurate to 9 lbs. We do a weighing on each scale, and get A=160, and B=170. What should we estimate our weight to be? Let's look at that graphically." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "scrolled": false }, "outputs": [ { "data": { "image/png": "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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_errorbars([(160, 1, 'A'), (170, 9, 'B')], xlims=(150, 180))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here we can see that the only possible weight is 161 lbs. This is an important result. With two relatively inaccurate sensors we are able to deduce an extremely accurate result.\n", "\n", "**So two sensors, even if one is less accurate than the other, is better than one.** I will harp on this for the remainder of the book. We never throw information away, no matter how poor it is. We will be developing math and algorithms that allow us to include all possible sources of information to form the best estimate possible.\n", "\n", "However, we have strayed from our problem. No customer is going to want to buy multiple scales, and besides, we initially started with an assumption that all scales were equally (in)accurate. This insight of using all measurements regardless of accuracy will play a large role later, so don't forget it.\n", "\n", "What if I have one scale, but I weigh myself many times? We concluded that if we had two scales of equal accuracy we should average the results of their measurements. What if I weigh myself 10,000 times with one scale? We have already stated that the scale is equally likely to return a number too large as it is to return one that is too small. It is not that hard to prove that the average of a large number of weights will be very close to the actual weight, but let's write a simulation for now. I will use NumPy, part of the [SciPy](https://scipy.org/) ecosystem for numerical computation." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "scrolled": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Average of measurements is 165.0204\n" ] } ], "source": [ "import numpy as np\n", "measurements = np.random.uniform(160, 170, size=10000)\n", "mean = measurements.mean()\n", "print('Average of measurements is {:.4f}'.format(mean))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The exact number printed depends on your random number generator, but it should be very close to 165.\n", "\n", "This code makes one assumption that probably isn't true - that the scale is as likely to read 160 as 165 for a true weight of 165 lbs. This is almost never true. Real sensors are more likely to get readings nearer the true value, and are less and less likely to get readings the further away from the true value it gets. We will cover this in detail in the Gaussian chapter. For now, I will use without further explanation the `numpy.random.normal()` function, which will produce more values nearer 165 lbs, and fewer further away. Take it on faith for now that this will produce noisy measurements similar to how a real scale works." ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "scrolled": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Average of measurements is 164.9414\n" ] } ], "source": [ "mean = np.random.normal(165, 5, size=10000).mean()\n", "print('Average of measurements is {:.4f}'.format(mean))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Again the answer is very close to 165. \n", "\n", "Okay, great, we have an answer to our sensor problem! But it is not a very practical answer. No one has the patience to weigh themselves ten thousand, or even a dozen times. \n", "\n", "So, let's play 'what if'. What if you measured your weight once a day, and got the readings 170, 161, and then 169. Did you gain weight, lose weight, or is this all just noisy measurements? \n", "\n", "We really can't say. The first measurement was 170, and the last was 169, implying a 1 lb loss. But if the scale is only accurate to 10 lbs, that is explainable by noise. I could have actually gained weight; maybe my weight on day one was 165 lbs, and on day three it was 172. It is possible to get those weight readings with that weight gain. My scale tells me I am losing weight, and I am actually gaining weight! Let's look at that in a chart. I've plotted the measurements along with the error bars, and then some possible weight gain/losses that could be explained by those measurements in dotted green lines." ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "scrolled": false }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import kf_book.gh_internal as gh\n", "gh.plot_hypothesis1()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As we can see there is an extreme range of weight changes that could be explained by these three measurements. In fact, there are an infinite number of choices. Shall we give up? Not me! Recall that we are talking about measuring a human's weight. There is no reasonable way for a human to weigh 180 lbs on day 1 and 160 lbs on day 3. or to lose 30 lbs in one day only to gain it back the next (we will assume no amputations or other trauma has happened to the person). \n", "\n", "The behavior of the physical system we are measuring should influence how we interpret the measurements. If we were weighing a rock each day we'd attribute all of the variance to noise. If we were weighing a cistern fed by rain and used for household chores we might believe such weight changes are real.\n", " \n", "Suppose I take a different scale, and I get the following measurements: 169, 170, 169, 171, 170, 171, 169, 170, 169, 170. What does your intuition tell you? It is possible, for example, that you gained 1 lb each day, and the noisy measurements just happens to look like you stayed the same weight. Equally, you could have lost 1 lb a day and gotten the same readings. But is that likely? How likely is it to flip a coin and get 10 heads in a row? Not very likely. We can't prove it based solely on these readings, but it seems pretty likely that my weight held steady. In the chart below I've plotted the measurements with error bars, and a likely true weight in dashed green. This dashed line is not meant to be the 'correct' answer to this problem, merely one that is reasonable and could be explained by the measurement." ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "scrolled": false }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "gh.plot_hypothesis2()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Another what if: what if the readings were 158.0, 164.2, 160.3, 159.9, 162.1, 164.6, 169.6, 167.4, 166.4, 171.0? Let's look at a chart of that and then answer some questions." ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "scrolled": false }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "gh.plot_hypothesis3()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Does it 'seem' likely that I lost weight and this is just really noisy data? Not really. Does it seem likely that I held the same weight? Again, no. This data trends upwards over time; not evenly, but definitely upwards. We can't be sure, but that looks like a weight gain, and a significant weight gain at that. Let's test this assumption with some more plots. It is often easier to 'eyeball' data in a chart versus a table.\n", "\n", "So let's look at two hypotheses. First, let's assume our weight did not change. To get that number we agreed that we should average the measurements. Let's look at that.\n" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "scrolled": true }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "gh.plot_hypothesis4()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "That doesn't look very convincing. In fact, we can see that there is no horizontal line that we could draw that is inside all of the error bars.\n", "\n", "Now, let's assume we gained weight. How much? I don't know, but NumPy does! We want to draw a line through the measurements that looks 'about' right. NumPy has functions that will do this according to a rule called \"least squares fit\". Let's not worry about the details of that computation (I use [polyfit()](https://docs.scipy.org/doc/numpy/reference/generated/numpy.polyfit.html) if you are interested), and just plot the results." ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "scrolled": false }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "gh.plot_hypothesis5()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This looks much better, at least to my eyes. Notice now the hypothesis lies very close to each measurement, whereas in the previous plot the hypothesis was often quite far from the measurement. It seems far more likely to be true that I gained weight than I didn't gain any weight. Did I actually gain 13 lbs? Who can say? That seems impossible to answer.\n", "\n", "\"But is it impossible?\" pipes up a co-worker.\n", "\n", "Let's try something crazy. Let's assume that I know I am gaining about one lb a day. It doesn't matter how I know that right now, assume I know it is approximately correct. Maybe I am on a 6000 calorie a day diet, which would result in such a weight gain. Or maybe there is another way to estimate the weight gain. This is a thought experiment, the details are not important. Let's see if we can make use of such information if it was available.\n", "\n", "The first measurement was 158. We have no way of knowing any different, so let's accept that as our estimate. If our weight today is 158, what will it be tomorrow? Well, we think we are gaining weight at 1 lb/day, so our prediction is 159, like so:" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "scrolled": false }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "gh.plot_estimate_chart_1()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Okay, but what good is this? Sure, we could assume the 1 lb/day is accurate, and predict our weight for the next 10 days, but then why use a scale at all if we don't incorporate its readings? So let's look at the next measurement. We step on the scale again and it displays 164.2 lbs." ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "scrolled": false }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "gh.plot_estimate_chart_2()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We have a problem. Our prediction doesn't match our measurement. But, that is what we expected, right? If the prediction was always exactly the same as the measurement, it would not be capable of adding any information to the filter. And, of course, there would be no reason to ever measure since our predictions are perfect.\n", "\n", "> **The key insight to this entire book is in the next paragraph. Read it carefully!**\n", "\n", "So what do we do? If we only form estimates from the measurement then the prediction will not affect the result. If we only form estimates from the prediction then the measurement will be ignored. If this is to work we need to take some kind of **blend of the prediction and measurement** (I've bolded the key point)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Blending two values - this sounds a lot like the two scale problem earlier. Using the same reasoning as before we can see that the only thing that makes sense is to choose a number between the prediction and the measurement. For example, an estimate of 165 makes no sense, nor does 157. Our estimates should lie between 159 (the prediction) and 164.2 (the measurement).\n", "\n", "One more time, this is so important. We agreed that when presented two values with errors, we should form an estimate part way between the two values. It does not matter how those values were generated. In the start of the chapter we had two measurements, but now we have one measurement and one prediction. The reasoning, and hence the math is the same in both cases. We *never* throw information away. I mean it. I see so much commercial software that throws away noisy data. Don't do it! Our prediction of a weight gain might not be very accurate, but so long as there is some information we should use it.\n", "\n", "I have to insist you stop and really think about this. All I have done is replaced an inaccurate scale with an inaccurate weight prediction based on human physiology. It is still data. Math doesn't know if the data came from a scale or a prediction. We have two pieces of data with a certain amount of noise, and we want to combine them. In the remainder of this book we are going to develop some fairly complicated math to perform this computation, but the math never cares where the data come from, it only makes computations based on the value and accuracy of those values. \n", "\n", "Should the estimate be half way between the measurement and prediction? Maybe, but in general it seems like we might know that our prediction is more or less accurate compared to the measurements. Probably the accuracy of our prediction differs from the accuracy of the scale. Recall what we did when scale A was much more accurate than scale B - we scaled the answer to be closer to A than B. Let's look at that in a chart." ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "scrolled": true }, "outputs": [ { "data": { "image/png": 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zZgCtWzesbkQE8MILjo2Hmp7TryzZIisrCxkZGRg9ejTmzJmDjz76CPn5+ejcuTNmzZqFSZMmmSxfXl6OqVOn4m9/+xt69eqFzZs3OynyxrmlOad6JqdjvtWHOVcX5ltdmO+WKSQE6NGjYUOH9+jRPMOGk2PdEJ2lnP/7RK5fvx7t27fHqlWrEBgYiA8//BCTJ09GVVUVnn76aWX5efPmQa/XIzExsUHrO3bsGCIjIxEQEKC8V1lZiZMnTwIAgoOD0aFDB5M6Z86cQVlZGQCge/fuJmV5eXnKNnTo0AHBNf5S9Ho9jh49CkAe/z46Olop8/DwQHp6OoqLiwEAXbp0gVZ7PWVFRUXIzMwEALRt2xZhYWEm6z18+DCEEPD29sbNN99sUpaVlYWCggIAQOfOneHl5aWUlZSUIC0tDQAQHh6ONm3amNQ9fvy4cmvBrbfealJ28eJFXLlyBQAQExMDPz8/payiogKnTp0CAISEhOCmm24yqXv69GmUl5dDkiR069bNpCw3N1d57iwyMhJBQUFKmU6nw7FjxwAAAQEB6Nixo0ndc+fOKXMNdO3a1eRKY2FhIc7/38xy7dq1Q6tWrUzqpqamAgB8fHwQGxtrUnb+/HkUFhYCAOLi4uDp6amUFRcXIz09HQAQERGB1rW+hjp27Bh0Oh08PT0RFxcHQM43AFy4cAG5ubkAgE6dOsHX11epV1ZWhjNnzgAAQkND0b7WVOCnTp1CRUUFNBoNunbtalJ25coVXLx4EQAQFRWFwMBApayqqgonTpwAAAQGBprdX5+WloaSkhIAQHx8vMk8Dfn5+cjOzgYAtG/fHqGhoUqZwWDAkSNHAMgTNMbExJi0m5GRgatXrwKQTyyM+wCQb2HJyMgAALRp0wbh4eEmdY8ePQq9Xg8vLy907tzZpCw7Oxv5+fkAgNjYWPj4+ChlpaWlOHv2LAAgLCwMbdu2Nal78uRJVFZWQqvVokuXLiZlly5dwuXLlwEAHTt2bPQxwri9DT1GAOAx4v+o4RhhxGOETA3HCCMeI2SucoxYvVqDvn2BrCzYrE2baqxebXpLZlMeI/Lz880+Y9QwN0RnyWAwAJD/SLZs2YLIyEgAwJAhQ9C7d28sXLhQ6Szt3bsX7777LrZt2wZvb+8GrU+n06H2XL1CCFRXVyvlluoYyy3FbywzbktNtrZbO6aa7eot3DxbXV0NIYTF+6X1en2j2rW2rTXbrb2tNfehpXaN22rptkxb23WV3NS3rdXV1dDpdBYnh6srN7a0W11dbbGsrnaNdetr1xJb96Gl+jVjqq2+ba2qqoLBYLB4m60j9qGlfWRru67yOeQxwrxdV8kNjxHm7fIYwWNE7XZd9RjRvj3www/AqFHA/32XUqfWrSvxwQc5aN/etCPblMcIS9tBDXNDdJaM30LFxcUpHSVAft5p2LBhWLJkCa5cuYLw8HBMmTIFf/nLX9C7d28UFRUBkDtZgNxL9/T0hH89Q5FotVqzPzRJkpSDRc1vZWrWsfYQp5ubm1Jm6UNta7u1Y6rZrqX/DNzd3SGEsNiuRqNpVLs1f1prt/a21tyHlto1bqulg5yt7bpKburbVuN21rcPG9KucfQle9o11q2r3cbuw/q2tbb6ttXDwwN6vb5J9qHBYLD778YVP4c8Rpi36yq54THCvF0eI3iMqN2uKx8j4uOBlBRg6tQqHDoE5Odrode71agjP6MUHX0Vr7+eg44dzbe1KY8RlraDGkYSlr4acZK8vDyEhYVhwYIFJnMt6XQ6BAYGolOnTsotD0avvfYali5ditzcXLRq1arewSK6d++OQ4cOKf82GAzKpVUjf39/iwej5nb16lUIISBJksntENQyMd/qw5yrC/OtLsy3ehQUAKtWATt26FBSAvj5AYMHazFjhvyMkzO48vntjeaG6HZqtVqMHTsWX375JTIyMpR7pYUQ2LZtG2JiYpT7yJOTk83qJyUlYf369fjmm2/Qrl275gy9UTIyMpR7emvfv0wtD/OtPsy5ujDf6sJ8q0dICDB69EHs2jULISG++Nvf/oaBHCO8xXCJztLWrVtRWlqq9ICPHz+OL7/8EgAwYsQI+Pj4YNGiRdi6dSuGDx+OhIQEBAQEYO3atUhNTcXGjRuVtix9OHfu3AkA6Nevn9nDuUREREREDVVVVYVBgwYpj38UFRUp555043OJztL06dOV0VgAYNOmTdi0aRMAeRSXqKgoxMTEYNeuXZg9ezb++te/orq6Gj169MDmzZsxatQoZ4XepNq0aWP13nJqeZhv9WHO1YX5VhfmWz2OHDmidJQA4M8//3RiNORoLvXMkjPwnk4iIiIiaqi9e/eiT58+yr99fHxQWlrqxIh4futI3GNEREREREQWsLNERERERERkATtLREREREREFrjEAA9k2dGjR1FVVQUPDw907drV2eFQE2O+1Yc5VxfmW12Yb/VS+XAALQ6vLLkwvV4Pg8EAvV7v7FCoGTDf6sOcqwvzrS7Mt3qxs9Sy8MqSC/Py8oJGo4G7u7uzQ6FmwHyrD3OuLsy3ujDf6iVJkrNDIAfi0OEcWpGIiIiIGohDh7ds3GNEREREREQWsLNERERERERkATtLREREREREFnCABxeWnZ0NvV4PjUaD9u3bOzscamLMt/ow5+rCfKsL861eKh8OoMVhZ8mF5efno7q6Gu7u7jzQqgDzrT7Mubow3+rCfKsXO0stC2/DIyIiIiIisoBXllxYbGwshBAcr18lmG/1Yc7VhflWF+ZbvTg8d8vCzpIL8/HxcXYI1IyYb/VhztWF+VYX5puoZWDXl4iIiIiIyAJ2loiIiIiIiCzgbXgurLS0VLnf2dfX19nhUBNjvtWHOVcX5ltdmG+iloGdJRd29uxZZdjR7t27OzscamLMt/ow5+rCfKsL861eBoPB2SGQA/E2PCIiIiIiIgt4ZcmFhYWFKbN/U8vHfKsPc64uzLe6MN/qxeHiWxZ2llxY27ZtnR0CNSPmW32Yc3VhvtWF+VYvdpZaFt6GR0REREREZAE7S0RERERERBaws0RERERERGQBn1lyYSdPnlSGHY2Li3N2ONTEmG/1Yc7VhflWF+ZbvYQQzg6BHIidJRdWWVmJ6upqjtevEsy3+jDn6sJ8qwvzrV7sLLUs7Cy5MK1WCyEEtFqmSQ2Yb/VhztWF+VYX5lu9OBpeyyIJlXd/DQYDrl27ZvKev78/3Nz4OBcRERER1W3v3r3o06eP8m8fHx+UlpY6MSKe3zoS9xgREREREZEF7CwRERERERFZwM4SERERERGRBXzq0IVdunQJer0eGo0GrVu3dnY41MSYb/VhztWF+VYX5lu9VD4cQIvTqM6SwWBARUUFfHx8HBUP1XD58mVljgYeaFs+5lt9mHN1Yb7VhflWL3aWWha7bsOrqKhAUlISHn74YbRt2xYeHh7w9/eHj48PevfujVmzZiE1NbWpYiUiIiIiImo2Ng0dXl5ejuXLl+O9997D1atXERcXh169eiE8PBxeXl4oKCjAuXPnsHfvXhQXF6Nv375Yvnw57rrrrubYhkZx5aEVi4uLIYSAJEkICAhwdjjUxJhv9WHO1YX5VhfmWz04dHjLZtNteLGxsfD19cXrr7+OCRMmICIiwuJyQggkJydj3bp1uPfee7Fq1SpMmzbNoQGrCQ+u6sJ8qw9zri7Mt7ow30Qtg02dpYULF2LSpEnQaDR1LidJEgYNGoRBgwYhMTER58+fd0iQREREREREzc2mztKUKVPsbjg6OhrR0dF21yMiIiIiInIFDhk6vKKiAhkZGYiNja336hPZrrKyUrnf2dPT09nhUBNjvtWHOVcX5ltdmG+ilsHuztLKlStRVFSEefPmAQD+/PNPDB8+HAUFBYiKisLOnTtx0003OTxQNTp58qQy7Gj37t2dHQ41MeZbfZhzdWG+1YX5Vi+DweDsEMiB7B4SY+3atQgKClL+/eqrryIkJATvvPMOhBBYvHixXe1du3YNs2bNwtChQxEWFgZJkpCQkGBx2erqaqxYsQLx8fHw9vZGUFAQ+vbti99//11Z5s8//8Tzzz+P+Ph4+Pv7IyIiAoMHD8bPP/9s76YSEREREZGK2X1l6fz584iLiwMgd3R+/fVXfP755/jLX/6C4OBgzJ8/36728vPzsWbNGnTv3h0PPPAA1q5da3E5vV6PcePG4bfffsOsWbPQt29flJaW4s8//zQZnvE///kP9u7diylTpqB79+4oLS3F6tWrcd9992H9+vV48skn7d1kpwkODoZOp4NW65C7JcnFMd/qw5yrC/OtLsy3ekmS5OwQyIFsmmepJh8fH2zZsgUDBw7Ejz/+iBEjRqCgoAABAQHYtWsXhg4divLycpvbM65ekiTk5eUhLCwMCxYsMLu69O6772LmzJlISUnBnXfeabW9K1euIDw83OQ9vV6PXr16obS0FGfPnjUp4zj0RERERNRQnGepZbN7j3Xo0AG7du0CAHz77bfo0aOHMpdAbm6u3fMKSJJkUw/8vffewz333FNnRwmAWUcJADQaDW677TZkZWXZFRsREREREamX3Z2liRMnYuHChbjtttvwr3/9CxMnTlTK9u/fj5tvvtmhAQJAVlYWMjIyEB8fjzlz5iAiIgJarRZdunTB+vXr662v0+mwa9cudOnSxeGxERERERFRy2T3jbRz586FVqvF77//jnHjxuGFF15Qyo4ePYoHH3zQoQECQE5ODgBg/fr1aN++PVatWoXAwEB8+OGHmDx5MqqqqvD0009brZ+QkICzZ8/im2++sWl9x44dQ2RkpMlVssrKSpw8eRKAfB9yhw4dTOqcOXMGZWVlAGA26k1eXp6yDR06dEBwcLBSptfrcfToUQDy5dHac1Olp6ejuLgYANClSxeTe5+LioqQmZkJAGjbti3CwsJM6h4+fBhCCHh7e5t1YrOyslBQUAAA6Ny5M7y8vJSykpISpKWlAZCv1LVp08ak7vHjx5URfm699VaTsosXL+LKlSsAgJiYGPj5+SllFRUVOHXqFAAgJCTEbNTE06dPo7y8HJIkoVu3biZlubm5uHDhAgAgMjLSZJARnU6HY8eOAZBnTO/YsaNJ3XPnzimXort27WoyvH1hYaEyeXK7du3QqlUrk7qpqakA5EvqsbGxJmXnz59HYWEhACAuLs5kaNji4mKkp6cDACIiItC6dWuTuseOHYNOp4Onp6fyDKDRhQsXkJubCwDo1KkTfH19lbKysjKcOXMGABAaGor27dub1D116hQqKiqg0WjQtWtXk7IrV67g4sWLAICoqCgEBgYqZVVVVThx4gQAIDAwEFFRUSZ109LSUFJSAgCIj483uYyfn5+P7OxsAED79u0RGhqqlBkMBhw5cgQA4Ofnh5iYGJN2MzIycPXqVQDALbfcAg8PD6Xs6tWryMjIAAC0adPG7Krx0aNHodfr4eXlhc6dO5uUZWdnIz8/HwAQGxsLHx8fpazm7bhhYWFo27atSd2TJ0+isrJS+UKmpkuXLuHy5csAgI4dO/IYAR4jeIyQ8Rgh4zFCprZjxOnTp2GNs44R+fn5Zp8xahi7O0uSJGH27NkWyzZv3tzogCwxDsFYUVGBLVu2IDIyEgAwZMgQ9O7dGwsXLrTaWVq7di3eeOMNzJw5E2PHjrVpfTqdDrUf5RJCoLq6Wim3VMdYbil+Y5ml4SSttXvmzBmUlJRAr9crMVhr17hM7XaFEHB3dzcr0+v1St2GtGttW2u2W3tba+5DS+0a96Gl2zJtbbe5clO73bo+L9b2oU6nMzmhOHPmjNJmY9qtrq62WFZXzmtuq705t3UfWqpfM6ba6tvWqqoqGAwGi3O71bWttu5DS/vI1nZt/Rwac17X59sYky3t8hjh2scIY761Wi3Cw8PtPkZY2lYeI1z3GJGdnQ1JkqDVahEbG+syn0Nr7fIY0fDc1I6l5v5ozvMII71eb3F91DANHqKloqICBw4cQH5+PkJDQ9GrVy+TbxUcyfgtVFxcnNJRAuSO27Bhw7BkyRKLAzusW7cOzzzzDP7617/irbfesnl9Wq3W7A9NkiTlYGFpZButVmvxYAIAbm5uSpmlD7W1dsvKypQ/EHd3d7OYarZr6T8Dd3f/Ps8RAAAgAElEQVR3CCEsxqvRaJS6DWm35k9r7dbe1pr70FK7xn1o6SBna7vNlZva7db1ebG2D2suA8j5rq6uNompIe3q9XqLZXXlvOa2Wmu3sfuwvs9LbfVtq4eHB/R6fb3tNmQfGgwGu/9uGvI5NOa8rs+3MSZb2uUxwrWPEcZ81/77t/UYYWlbeYxw3WNEZWWlyfpd5XNorV0eIxqem9qx1Oz4NOd5hJFGo+EojA5k92h4ALBixQosWrQIxcXFyuzU/v7+mDdvHmbOnNngYKyNhqfT6RAYGIhOnToplzONXnvtNSxduhS5ubkmt0esW7cO06ZNw6RJk/DRRx9ZHUTClUcLSU1N5YR2KsJ8qw9zri7Mt7ow3+pRezQ8Ly8vu0aGbgqufH57o7G727ly5Uq88sorGDJkCMaPH4/WrVvj0qVL+OyzzzBr1iy4u7vjxRdfdGyQWi3Gjh2LL7/8EhkZGcq90kIIbNu2DTExMSYdpaSkJEybNg0TJ07E2rVrb9jx7nlwVRfmW32Yc3VhvtWF+VYvdkhaFruvLMXExKBfv3745JNPzMomTpyIP/74Q3moz1Zbt25FaWkprl27hilTpuDhhx/GI488AgAYMWIEfHx8kJaWht69eyMiIgIJCQkICAjA2rVr8c0332Djxo146KGHAACbNm3CY489hh49emDlypVmH9iePXuaPEDHnjcRERERNRTnWWrZ7O4seXt745tvvsGwYcPMyrZv344HHnjA7kuPUVFRymgstaWnpytXko4ePYrZs2fj119/RXV1NXr06IG5c+di1KhRyvKTJ0+uczjxmu0B/DARERERUcOxs9Sy2X0b3s0336wMi1nbxYsX0alTJ7uDMA79WZ+uXbvi+++/r3OZpKQkJCUl2R0DERERERFRTXZ3lhITE/Hyyy+jV69eJnM0HD58GImJiVixYoVDA1SzvLw8GAwGuLm5mc3tQS0P860+zLm6MN/qwnwTtQw2dZbGjBlj8m+dTocePXqgS5cuygAPx44dQ9u2bZGUlIRx48Y1SbBqk5OTo4ykwwNty8d8qw9zri7Mt7ow3+plaS4sunHZ1Fk6fPiwyYhyWq0WN910E4qLi5VZoY2zKBtn4iYiIiIiIrqR2dRZsvWZInKsDh06KJfwqeVjvtWHOVcX5ltdmG/1Ys5bFk7v68KCg4OdHQI1I+ZbfZhzdWG+1YX5JmoZ2PUlIiIiIiKywKYrS25ubibPLNVFkiTodLpGBUVERERERORsNnWW5s+fb3NniRxHr9crv2s0GidGQs2B+VYf5lxdmG91Yb6JWgabOksJCQlNHAZZcvToUWXY0e7duzs7HGpizLf6MOfqwnyrC/OtXhw6vGXhM0tEREREREQW2NRZ2rhxo90NX7hwASkpKXbXo+v8/f0REBAAf39/Z4dCzYD5Vh/mXF2Yb3VhvtWLj660LJIQQtS3UFhYGNq1a4cZM2bgkUceQUBAgNVl//zzT3z88cdISkrCW2+9heeee86hATuawWDAtWvXTN7z9/fnGPlEREREVK+9e/eiT58+yr99fHxQWlrqxIh4futINj2zdPbsWSQkJOCll17CjBkz0LNnT/Tq1Qvh4eHw8vJCQUEB0tLSsHv3bly8eBFdu3bF//7v/2LYsGFNHT8REREREVGTsOnKklFhYSHWrVuHLVu2YPfu3SgrK1PKoqOjMXDgQEyYMAH33ntvkwTbFNjzJiIiIqKG4pWlls2uzlJtV69eRXl5OUJDQ+Hu7u7IuJoNP0xERERE1FDsLLVsNt2GZ01gYCACAwMdFQvVkp6eDp1OB61Wi44dOzo7HGpizLf6MOfqwnyrC/OtXo24DkEuqFGdJWpaxcXFyhwN1PIx3+rDnKsL860uzLd6sbPUsvBaHBERERERkQW8suTCunTpAiEEx+tXCeZbfZhzdWG+1YX5Vi8+F9SysLPkwrRapkdNmG/1Yc7VhflWF+bbuhMnTuCLL75AREQEpk+f7uxwiOrEv2QiIiIiahY6nQ4TJ07EgQMHAACtW7fGuHHjnBwVkXV2XyeMjo5GamqqxbKjR48iOjq60UERERERUcuzdOlSHDhwAG+++Saio6Mxffp0FBQUODssIqvs7ixlZGSgsrLSYllFRQUyMzMbHRTJioqKUFBQgKKiImeHQs2A+VYf5lxdmG91Yb7NHT16FIsWLcJDDz2E1157DRs3bkRhYSFeeOEFZ4dGZFWDnkCz9rDiuXPn4O/v36iA6LrMzEycO3eOHVCVYL7VhzlXF+bbtUyePBmSJGHy5MlN0r5a8v36669DkiQsX768zuX0ej2eeuoptG/fHh999BEA4LbbbsPbb7+NDRs24Ntvv7VrvcOHD4ckSfj5558bHHtTMRgMzg6BHMimZ5bWr1+P9evXK/+ePn06AgICTJYpLy9HamoqBgwY4NgIiYiIiGyUlJSEjIwMDBw4EAMHDnR2OA7nStuXnZ2NFStWICwsDM8//3ydy2o0Guzbt8/s/RkzZmDGjBl2rzshIQHbt2/HK6+8gv3793MEOmoyNnWWysrKkJubC0C+qlRUVGR2K56npyceffRRJCYmOj5KlWrbti30ej00Go2zQ6FmwHyrD3OuLsx380hKSsIvv/wCAHV2Jtq0aYPOnTujTZs2TRJHU+Xb1u1rDnPnzkV5eTkWLlwIX1/fZl33nXfeiWHDhmH79u349NNP8eSTTzbr+uvCjlvLYlNnafr06crQjh07dsRXX32F7t27N2lgBISFhTk7BGpGzLf6MOfqwny7liVLlmDJkiVN1n5Lz3dOTg4+++wzeHh4YMqUKU6J4dlnn8X27duxfPlyp3aWrl69avLviooKLFy4EDNmzEBISIiToiJHsbvrm56ezo4SERERkYp9+OGH0Ov1GDFihNM6BMZ1Hzt2DCkpKc2+/uzsbIwaNQoTJkwwed9gMGDRokXo1q0bRo0ahezs7GaPjRynwdcJr1y5gn379uHXX381exERERHVdOnSJcyePRvdu3dHYGAgvLy8EB0djWnTpuH48eNW623cuBH3338/IiIi4O7ujqCgIMTGxmLMmDF4//33UVFRAUC+PU2SJOUWtcTEREiSZPLKyMhQ2q1rgIeBAwdCkiQkJCRAr9fjnXfeQc+ePeHn54fw8HA88MADJtOolJWVYfHixejatSt8fX0RGhqKRx99FGlpaRa36erVq/j8888xYcIExMfHIyQkBF5eXoiMjMT48eOxe/duszr2bl9j93tdhBDKIA3jx4+3ulxKSooS26ZNmywus2fPHvj5+UGSJMyaNcuuODw8PPDggw8CANasWWNX3cY6cuQI+vXrhx9++EF5VKUmnU6HnJwc/PDDD+jXrx+OHDnSrPGRAwk7XbhwQdx3333Czc3N7CVJknBzc7O3SafS6/WiqKjI5KXX650dFhERUYvx3XffCT8/PwFAABDu7u7C19dX+beHh4dYv369Wb0pU6YoywAQfn5+wsfHx+S99PR0IYQQn3/+uYiIiBDu7u4CgPD19RUREREmr/PnzyttT5o0SQAQkyZNMlvvgAEDBAAxZ84cMXjwYCXGmjH7+fmJffv2iby8PNGzZ08BQHh5eQlvb29lmfDwcJGZmWnW/oIFC8y2y9PTU/m3JEnivffeM6lj7/Y1Zr/X5/Dhw0obFy9erHPZMWPGCAAiLi5O6HQ6k7KTJ0+KVq1aKXkwGAx2x/Lvf/9b2dfNJSsrS3To0MEkh/W9OnToILKyspotRp7fOo7dnaW//OUvIiQkRLz11lti+/btYufOnWavG4krf5hSU1PF/v37RWpqqrNDoWbAfKsPc64uas33nj17hIeHhwAgnnnmGXHixAnlpDkzM1M899xzAoDQarVi3759Sr1du3YJAMLNzU0sW7ZM5OfnK2V5eXli+/btYtKkSSInJ8dkfcaOzoIFC+qMy5bOUlBQkAgNDRWbNm0SVVVVwmAwiL1794ro6GgBQPTt21eMGzdOREVFie3btwu9Xi/0er3YsWOHCA4OFgDEiBEjzNr/4IMPxMsvvyx2794tCgsLhRBCGAwGce7cOfHSSy8JSZKERqMRBw4csBpbfdvX0P1ui1WrVgkA4qabbqp32ePHjwuNRiMAiKSkJOX9nJwcERkZKQCIUaNGierqartiMDp9+rTSITlx4kSD2rDXyJEj7eooGV8jR45slviEcO3z2xuN3Z2l0NBQ8fHHHzdFLE7hyh+mQ4cOiX379olDhw45OxRqBsy3+jDn6qLWfN9+++0CgJg3b57VZV588UUBQIwdO1Z5b9myZQKAGDp0qF3rc2RnCYDYtWuXWflPP/2klHt7e4szZ86YLZOQkKBcbaqqqrJrG55//nkBQEydOtVqbPVtX0P3uy2eeOIJpZNji6lTpwoAomPHjqKqqkoUFhaK+Ph4AUD0799flJWV2bX+2oxXz5rj/DQ/P1+0a9euQZ2ldu3aiYKCgiaPUQjXPr+90dj9zJIkSbjpppvsrUYN4O3tDR8fH3h7ezs7FGoGzLf6MOfqosZ8p6amYt++fXB3d8fMmTOtLmccyWzHjh3Q6/UAgKCgIABAbm6u8l5z69+/P/r372/2/oABA+Dp6QkAeOihh9CpUyezZQYNGgRAHhntzJkzdq135MiRAIDffvvN3pABNG6/2+LChQsAbB/xLzExEd7e3khPT8f777+PsWPH4siRI4iPj8d3333X6L+J0NBQk7ia0qpVq3Dp0qUG1b18+TJWrlzp4Iioqdk0dHhNDz/8ML7//nsMHjy4KeKhGm6++WZnh0DNiPlWH+ZcXdSYb+PJvsFgQOfOna0uZzxRLy0tRX5+PsLDwzF48GB4eXnh4MGDuPvuuzF16lQMGjQIHTt2bJbYAeCOO+6w+L5Go0GrVq2Qk5OD22+/3eIyd911l/J7YWGhWfm5c+fwz3/+E8nJyUhLS8O1a9dgMBhMlmnoKGqN2e+2MA5oYOsoeO3atcOLL76IZcuW4eWXXwYAREVFYdu2bUqn2JKVK1ciKCgITzzxRJ3th4SEIDMz0+JAC46WnJzc4M67TqfDzp07MX/+fAdHRU3Jps7SgQMHlN8feeQRPP300zAYDBg9erTSm6+pV69ejouQiIiIbkjGb/r1ej0uX75sU52ysjIAQHR0NNauXYtnn30Wf/zxB/744w8A8tWMe++9F+PHj8eYMWMgSVLTBA/A39/faplWq61zGWM5AFRXV5uUff3113j88cdRWVmpvBcQEAAvLy9IkoSqqioUFhaitLS0QXE3Zr/bwjgCofHqmi1eeuklvPXWWzAYDAgJCcGPP/6Itm3b1rmOmTNnYvr06fV2loxXpoxxNaVr1645tT41P5s6S7179zY5GAkhsGrVKrz//vsmywkhIEmS0y6XExERkeswng/ExcXhxIkTdtefMGEC7r//fmzatAnJycn4/fffkZWVhY0bN2Ljxo24++678f333yMgIMDRoTeZ/Px8TJ48GZWVlRg0aBDmz5+PO+64w+RWtJ9++qlRd/A0dr/Xx/hFuaUrZpbodDr89a9/Va6clZWV1Xvr3cGDB1FdXW316l5NBQUFJnE1pbo60M1Rn5qfTZ2ldevWNXUcRERE1MK0bt0agHzLWWlpKXx9fe1uIyQkBM888wyeeeYZAEBaWhrWrl2LZcuWYdeuXUhISMCKFSscGndT2rJlC4qLixEcHIzvvvsOPj4+Zss09JkYI0fs97oYn1UydlLqIoTAtGnT8P333yMsLAx+fn5IT0/HggULlLmaahs+fDi2b98OAJg4cSImTpwIANi8eTNGjx5ttrwxDlufoWqMe++9F7t27WrQhQGtVouBAwc6PihqUjZ1liZNmtTUcZAFWVlZ0Ov10Gg0HFRDBZhv9WHO1UWN+e7Xrx8AoKqqCl9//bVy0tsYMTExWLJkCbKysvDZZ5/hv//9r0m5m5s8dpUQotHraoysrKw63+/cubPFjhIgD7hgjS3b1xT7vaZbb70Vmzdvxrlz5+pddtasWVi/fj38/Pzwww8/4OzZsxg/fjzWr1+PmTNn4tZbbzWr8/zzz6OyshIpKSn4+OOPlfctDbZx7do15OXlAQBuueWWRmyVbWbMmIE1a9YgJyfH7roRERF44YUXmiAqakp2j4ZHzaegoAB5eXk2fXNDNz7mW32Yc3VRY7579+6Nnj17AgDmzp1b7wP4NfdNzed5LDHexqXRaEzeN96SV1RUZHe8jmQtz4GBgQCA06dPW3zG5tChQ9iwYYPVdm3Zvsbsd1vcc889AORR9+rK09///nf8/e9/h7u7O7766ivcfvvteOyxx9CtWzfo9Xq89tprFuuNHj0aOp0OXbp0Ua4sTZw4EcHBwWbL7t+/HwaDAVqtVukkNqWQkBD06NGjQXV79OhhcRvItdndWZoyZYrV17Rp0/DKK6/giy++QFVVVVPES0RERDcISZKwevVqeHp64vz58+jTpw++/PJLk8EEcnJy8Omnn2LIkCF49dVXlfdnzJiBRx55BF999RWuXLmivF9SUoLVq1fjk08+AQCMGDHCZJ1du3YFIN/u1pBv/5va0KFD4ebmhoKCAkyYMEGJsaqqChs3bsTQoUPrfK7Flu1rzH63Rb9+/aDValFVVYVDhw5ZXOaTTz7BrFmzIEkSkpKSMHToUCW2RYsWAZBvq0tJSTGrK4RAamqq0uGry549ewDIg4v5+fnZtR0NtXr1aruvDnfo0AGrV69uooioSdk7MVNUVJQIDg4WkiQJd3d30bp1a+Hu7i4kSRLBwcEiKChISJIk4uLixKVLlxw7K1QTcOVJu8rLy0VZWZkoLy93dijUDJhv9WHO1UXN+f7xxx9FaGioMjmnRqMRoaGhwsfHx2TSzmnTpil1jJPGGl9+fn4iKCjI5L3+/fuLkpISk3WdPn1aeHl5CQDCzc1NREREiMjISBEZGSmysrLM2q9rUtq6Jn6NjIwUAMS6desslpeXlytxJicnm5S9+uqrJtsRGBgo3N3dlYlbP/vsM6WsNlu3r6H73VZjx44VAMScOXPMyn744Qeh1WoFAPHOO+9YrN+nTx8BQPTr18+s7MyZMwKA+Mc//lFvHHfddZcAIN599127t6ExDh8+LDp06GDTZLQdOnQQhw8fbtb4XPn89kZj95Wlr776Cv7+/vjPf/6D8vJyXLx4EeXl5diwYQP8/f2xfft2/PbbbygsLMScOXPqbe/atWuYNWsWhg4dirCwMEiShISEBIvLVldXY8WKFYiPj4e3tzeCgoLQt29f/P7772bLJSYmIioqCp6enoiLi7shJwHz8vKCt7c3vLy8nB0KNQPmW32Yc3VRc76HDBmCs2fPYsmSJejfvz8CAwNRVFQENzc33HrrrZg6dSo2b95s8n/1vHnz8I9//APjxo1DXFwctFotSkpKEB4ejiFDhuDjjz/Gzp07zQYviI2NRXJyMsaMGYOwsDDk5+cjMzMTmZmZ0Ol0zbbNdeV56dKl+OSTT5RR8Kqrq9GpUyfMmTMHBw8erHNIbXu2ryH73VbGATc2bNhg8vzUH3/8gYcffhg6nQ6vvvoq/va3v1ms/8YbbwAAUlJS8O2335qUHTx4EADqvbKUnp6OP/74A97e3soEu80lPj4eKSkpGDlypMWBJbRaLdq1a4eRI0ciJSUF8fHxzRofOZC9vasBAwZY7em/++67yjcEK1asEG3btq23vfT0dBEYGCjuueceMW3aNKvf5Oh0OjFy5EgRGBgo3njjDZGcnCy+//57kZiYKH788UeTZadNmyY8PT3F8uXLRXJyspg9e7aQJEm88cYbZu2y501ERERkH71eL2JiYgQA8csvvzi07blz5wpJkkRxcXGdyyUmJgoA4qmnnnLo+u31448/mlxJcnNzE4mJiSI/P99pMfH81nHs7iz5+PiIHTt2WCzbsWOH8PHxEUII8fPPPwsPD4962zMYDMJgMAghhMjNzbXaWXrnnXeEm5ub+OOPP+ps7+jRo0KSJPHmm2+avP/0008Lb29vsw8uP0xERERE9tuwYYMAIO6//36HtjthwgQRHBxc5zIlJSWiVatWwtPTU2RkZDh0/fbas2ePSWfJeC7sTDy/dRy7b8MLCAhAcnKyxbKff/5ZGaWlvLzcpom3JEmyafbt9957D/fccw/uvPPOOpf75ptvIITAU089ZfL+U089hfLycmzbtq3edbmKkpISFBcXo6SkxNmhUDNgvtWHOVcX5ltd1JDvxx57DHfccQe2bt2qDLTgCFFRUSgsLMSrr76KTz/9FN99953ZMqtWrUJeXh5efPFFREZGOmzdRLXZNM9STePHj8eyZcsghMDDDz+MiIgIXL58GV988QXefvttvPTSSwCAP//802Hj3WdlZSEjIwOjR4/GnDlz8NFHHyE/Px+dO3fGrFmzTOaBOnr0KMLCwpQJ2Yy6deumlN8o0tLSUF1dDXd3d3Tv3t3Z4VATY77VhzlXF+ZbXdSQb0mS8K9//QvffPONMteRI7zyyis4deoUPvzwQxQWFmLEiBFmk9H6+voiISHB6jNRzmQwGJwdAjmQ3Z2lJUuW4OLFi1iyZAmWLl2qvC+EwOOPP44333wTAHDXXXdh2LBhDgnSODTm+vXr0b59e6xatQqBgYH48MMPMXnyZFRVVeHpp58GAOTn5yMkJMSsDV9fX3h4eCA/P7/e9R07dgyRkZHKVTJAnu/h5MmTAIDg4GB06NDBpM6ZM2eUITlrHxTz8vKUbejQoYPJGPt6vV7pwPn7+yM6OtosnurqaqSmpqJLly7Qaq+nrKioCJmZmQCAtm3bmj1gePjwYQgh4O3tjZtvvtmkLCsrS5lXoXPnziYPopaUlCAtLQ0AEB4ejjZt2pjUPX78uPIfQO3J5C5evKgM8RoTE2MyjGdFRQVOnToFQJ6noPawm6dPn0Z5eTkkSVI6t0a5ubm4cOECACAyMhJBQUFKmU6nw7FjxwDIVz47duxoUvfcuXO4du0aAHnI1ZpzchQWFuL8+fMAgHbt2qFVq1YmdVNTUwEAPj4+iI2NNSk7f/48CgsLAQBxcXHw9PRUyoqLi5Geng5AnoSuduf92LFj0Ol0ygAkNen1emW9nTp1Mnl4uaysDGfOnAEAhIaGon379iZ1T506hYqKCmg0GmV4WaMrV67g4sWLAORv7YxzfQDykLUnTpwAIM8BEhUVZVI3LS1N+XY0Pj5emRQRkP/msrOzAQDt27dHaGioUmYwGHDkyBEAgJ+fH2JiYkzazcjIwNWrVwHIkwl6eHgoZVevXkVGRgYAoE2bNggPDzepe/ToUej1enh5eaFz584mZdnZ2crfemxsrMnEj6WlpTh79iwAebb32g9Snzx5EpWVldBqtejSpYtJ2aVLl3D58mUAQMeOHR12jDAYDErO7T1GpKeno7i4GAB4jHDxY0RNjTlGXLhwQZk3h8eIDACueYyofcLsrPOIpj5GSJKE2bNnO/wY8frrr2PdunVWjxFjx451mWPE6dOnYY0zziMuXLiA/Px8s88YNYzdnSUPDw9s2LAB8+bNwy+//IL8/HyEhobinnvuMfnADx482GFBGg84FRUV2LJli3K5dciQIejduzcWLlyodJYA1Hlbny23/Ol0OrOZsYUQqK6uVsot1TGWW4rfWGbp2wZr7YaHhyMvLw+VlZWorq42i6lmu3q93mK7Qgi4u7ublen1eqVuQ9q1tq012629rTX3oaV2jfvQUo5sbbe5clO73bo+L9b2oU6nMzmhCA8Ph16vx7Vr11BaWtrgdqurqy2W1ZXzmttqb85t3YeW6teMqbb6trWqqgoGg8FsQsra7TZ0H1raR7a2a+vn0Jjz8vJy5YTQkZ9DHiPM23XmMcKYb41G06BjhKVt5THCdY8RoaGhcHd3V9bvKp9Da+3yGNHw3NSOpeb6m/M8wkiv1zfryI8tnd2dJaNbbrnFYbfZ1cf4LVRcXJzJfamSJGHYsGFYsmQJrly5gvDwcISGhlqcIK20tBRVVVUWrzrVptVqzf7QJElSDhY1v5WpWcfSwQQA3NzclDJLH2pr7bZp0wYVFRXKH3XtmGq2a+k/A3d3dwghLMar0WiUug1pt+ZPa+3W3taa+9BSu8Z9aOkgZ2u7zZWb2u3W9Xmxtg9rLgNA+ebtwoULyqTODWnXeDJWW105r7mt1tpt7D6s7/NSW33b6uHhAb1eX2+7DdmHxtngG9qurZ9DY87z8vKUb5Qd+TnkMcK8XWceI2p+u15cXGz3McKosZ9vHiOa5xgRGhpqcvXZVT6H1trlMaLhuakdS831N+d5hJFGo7G4PmoYSVj6asRJ8vLyEBYWhgULFpjMtaTT6RAYGIhOnToplzONXnvtNSxduhS5ublo1aoV3nzzTcydOxcXL140uWS5e/du3HXXXfjss88wfvx45X2DwaBcWjXy9/e3eDAiIiIiIqpp79696NOnj/JvHx8f5Q4RZ+H5rePYtMc0Gg327t0rV/i/HrS1V1P0ZLVaLcaOHYsTJ04o9ycD8iXKbdu2ISYmRrmPfOzYsZAkCevXrzdpIykpCd7e3hg+fLjD4yMiIiIiopbHpp7N/PnzlYdE58+fb9NzP/bYunUrSktLlR7w8ePH8eWXXwIARowYAR8fHyxatAhbt27F8OHDkZCQgICAAKxduxapqanYuHGj0laXLl0wdepULFiwABqNBrfffjt+/PFHrFmzBosXL7bpNjwiIiIiIiKXuA0vKipKGY2ltvT0dGXUnaNHj2L27Nn49ddfUV1djR49emDu3LkYNWqUSZ3q6mq88cYbWLduHS5duoSoqCjMmDEDL7zwgln7rnyZsq7RYqjlYb7VhzlXF+ZbXZhv9ah9G563t7fyHKqzuPL57Y3GJZ7+qnlrXV26du2K77//vt7l3N3dkZCQYPLc042ortFiqOVhvmUnTpzAF198gYiICEyfPio89jkAACAASURBVN3Z4TQp5lxdmG91Yb7VywWuQ5ADNah7efLkSTz++ONo06YNPDw8cODAAQBAYmIikpOTHRqgmhlHF7I2Agu1LMy3PJjLxIkTkZiYiOeeew5ff/21s0NqUsy5ujDf6sJ8q5ejH1ch57L7ytKhQ4dw9913w9/fHwMHDjR5XqikpASrV6/Gvffe69Ag1YqX7dWF+QaWLl2KAwcO4M0338TatWsxffp0DBgwoMU+a8icqwvzrS7Mt3qxs9Sy2H1lafbs2ejWrRvOnj2Lf//73yaXGu+44w7s27fPoQESkTocPXoUixYtwkMPPYTXXnsNGzduRGFhocVnDYmIiIiag92dpZSUFMyaNQs+Pj5mPeeIiAhcunTJYcGRqcmTJ0OSJEyePNnZobR43NeO8frrr0OSJCxfvrzO5fR6PZ566im0b98eH330EQDgtttuw9tvv40NGzbg22+/bY5wHWb48OGQJAk///yzs0MhIiKiRrC7sySEgIeHh8WywsJCeHp6Njoocn1JSUlISEjAzp07nR2KXW7UuG3lStuXnZ2NFStWICwsDM8//3ydy2o0Guzbtw9paWkmM97PmDEDQgiMHTu2qcN1KOPgMq+88goMBoNzgyEiIqIGs/uZpW7duuHrr7/G/fffb1a2bds23HbbbQ4JjICLFy9Cr9dDo9GgTZs2zg7HRFJSEn755RcAwMCBA50bjB1sjbtNmzbo3Llzs+53R+TblfIyd+5clJeXY+HChfD19XVqLM3tzjvvxLBhw7B9+3Z8+umnePLJJy0u58p/4+R4zLe6MN/qxdHwWha7O0svvfQSxo8fD19fXzzxxBMAgPPnz+Pnn3/Gxx9/rEwmS4135coVZY4GHmib15IlS7BkyZJmXWdLyndOTg4+++wzeHh4YMqUKc4OxymeffZZbN++HcuXL7faWWpJOaf6Md/qwnyrFztLLYvdnaVHH30UaWlpSEhIwD/+8Q8AwIMPPgitVovExESMHj3a4UES0Y3lww8/hF6vx+jRo1vsSHb1GTFiBEJCQnDs2DGkpKSgX79+zg6JiIiI7NSgeZbmzJmDc+fOYc2aNVi8eDE++OADnD59GrNnz3Z0fKoWExODm2++GTExMXUud/XqVXz++eeYMGEC4uPjERISAi8vL0RGRmL8+PHYvXt3vevauHEj7r//fkRERMDd3R1BQUGIjY3FmDFj8P7776OiogKAfJuXJEnKrV6JiYmQJMnkZeskwzVdunQJs2fPRvfu3REYGAgvLy9ER0dj2rRpOH78eLPHXdcADwMHDoQkSUhISIBer8c777yDnj17ws/PD+Hh4XjggQeQmpqqLF9WVobFixeja9eu8PX1RWhoqPKlQ03GfLdq1crufDY0Lw3d73URQiiDNIwfP97qcikpKUpsmzZtsrjMnj174OfnB0mSMGvWrAbF4yweHh548MEHAQBr1qyxuIytf+PUMjDf6sJ8q0ftW839/PycFAk1CaFyer1eFBUVmbz0er2zw7Jo0qRJAoCYNGmSyfsLFiwQAJSXn5+f8PT0VP4tSZJ47733rLY7ZcoUs/o+Pj4m76WnpwshhPj8889FRESEcHd3FwCEr6+viIiIMHmdP3/eru367rvvhJ+fn7Iud3d34evrq/zbw8NDrF+/vlnjtravhRBiwIABAoCYM2eOGDx4sBJjzZj9/PzEvn37RF5enujZs6cAILy8vIS3t7eyTHh4uMjMzDRrvyH5bEheGrrf63P48GGljYsXL9a57JgxYwQAERcXJ3Q6nUnZyZMnRatWrZQ8GAwGu2Nxtn//+99KromIqGUyGAyia9euyv99L7zwgrNDuqHOb12d3Z2l3r17i9dee03s2LFDVFRUNEVMzepG+jBZO4H/4IMPxMsvvyx2794tCgsLhRDyH+65c+fESy+9JCRJEhqNRhw4cMCszV27dgkAws3NTSxbtkzk5+crZXl5eWL79u1i0qRJIicnx6SescOwYMGCRm3Tnj17hIeHhwAgnnnmGXHixAnlpDkzM1M899xzAoDQarVi3759zRa3LZ2loKAgERoaKjZt2iSqqqqEwWAQe/fuFdHR0QKA6Nu3rxg3bpyIiooS27dvF3q9Xuj1erFjxw4RFhYmAIgJEyaYtd+YfNq6fQ3d77ZYtWqVACBuuummepc9fvy40Gg0AoBISkpS3s/JyRGRkZECgBg1apSorq62KwZXcfr0aeU/zxMnTjg7HCIiaiJFRUXi3XffFZ988olLnEfeSOe3rs7uztLo0aNFYGCgkCRJeHt7i8GDB4ulS5eK/fv3N0V8Te5G+jDVdQJfl+eff14AEFOnTjUrW7ZsmQAghg4dalebjuos3X777QKAmDdvntVlXnzxRQFAjB07VnmvqeO2pbMEQOzatcus/KefflLKvb29xZkzZ8yW+eijj5Tyqqoqu7ahrnzaun0N3e+2eOKJJ5ROji2mTp0qAIiOHTuKqqoqUVhYKOLj4wUA0b9/f1FWVmbX+l2N8erdxx9/7OxQiIhIJW6k81tXZ/czS5s3b0Z+fj5+++03zJ49G1VVVZg/fz7uuOMOtGrVCo888oi9TZIVFRUVKC8vV567aaiRI0cCAH777TezsqCgIABAbm4u9Hp9o9Zjr9TUVOzbtw/u7u6YOXOm1eWMI4nt2LFDidGZcRv1798f/fv3N3t/wIABynxjDz30EDp16mS2zLBhwwAA5eXlOHPmDADb811XPm3RmP1uiwsXLgAAwsLCbFo+MTER3t7eSE9Px/vvv4+xY8fiyJEjiI+Px3fffQdvb2+b1+2KQkNDAVzfLzU56m+cbgzMt7ow3ypSUAAsXAj9gAEw9OoF/YABwMKF8vt0w7N7NDxAnkCyb9++6Nu3L+bPn4+9e/di/vz5+PHHH/HVV185OkbVOnXqlDLsaPfu3etc9ty5c/jnP/+J5ORkpKWl4dq1a2aTYWZnZ5vVGzx4MLy8vHDw4EHcfffdmDp1KgYNGoSOHTs6dFssMZ7sGwwGdO7c2epyxhP10tJS5OfnIzw83KlxG91xxx0W39doNGjVqhVycnJw++23W1wmIiJC+b2wsBCAab79/f0blE9bNGa/2yI3NxcAbB4Fr127dnjxxRexbNkyvPzyywCAqKgobNu2TekUW7Jy5UoEBQUpUxg0pZKSEvz973/H/v37sX//fly+fBmTJk1CUlJSvXVDQkKQmZmp7Jea7Pkbpxsf860uzLcKZGcDzz4LHDoEXLoETc0vFn//HVizBujRA1j9/9u77/Aoq7QN4Pckk95I6OkqPZSoICKCoAQVhIjKR1WpwkpAVhQsQJCyIrKCEBRBUQSEFRFQyi4tsBqRFSH0TiAhGAgpkELKZM73x8kMmWQymUxNMvfvuuYKvG3O+z5T3mdOWw4EB9uvnGQWk5KltLQ07NmzB7t378bevXvx119/ISQkBCNHjkSvXr0sXUaqwubNmzFkyBAUFhZql/n6+sLd3R0KhQJFRUXIyspCXl5ehX3vv/9+fPnllxg/fjwOHjyIgwcPApC1Aj179sTQoUPRv39/KBQKi5db80t7SUkJbty4YdQ++fn5di+3ho+PT6XrlEqlwW006wGguLhYZ92+ffvw7rvvmhRPY5hz3Y2h+RVVU7tmjDfeeAMff/wx1Go1AgICsGvXLgQGBhp8jilTpuBvf/ubTZKlW7du4YMPPkDTpk3RsWNHbN++3eh9NTVj/HWZiKgOOXECeO45IDlZ/3qVCkhNlY+uXYFt24B27WxbRrKIajfDa9euHYKCgjB58mTk5eVh+vTpOHv2LK5cuYKvvvoKQ4YMsUY5HVJAQAAaNGhg8Bf6jIwMjBgxAoWFhXjyySexf/9+5Ofn4/bt27hx4wbS0tIqHZZZY9iwYbh69SqWL1+OQYMGISQkBOnp6fj+++/x/PPP44knnsCdO3csfXramotWrVpByP5zVT7Cw8PtXm5rCQgIgLOzM2JjY82KZ1XMve5V0TQ709SYVUWlUuG1117T1pzl5+dX2fTu6NGjKC4urrR2z9KaNm2Ka9eu4fr169WeeDuztBmG5rqUZcx7nOoOxtuxMN61wJ07wAsvAL6+wOOPA99/L5Ocqly7ZjhRKi85WW5vYosQsq9qJ0unTp2Cu7s7XnrpJQwfPhxDhw5F8+bNrVE2hxcSEoLw8HCEhIRUus2OHTtw584d+Pv74+eff8YTTzxR4UYzLS2tyucKCAjAuHHjsGHDBiQnJ+PixYt45513oFAo8Msvv2DWrFnmnk4FTZo0ASCbEJpaS2KPcltLSEgITp48iZycHLPjaYglrrshmr5KmUa01RZCYMyYMdi2bRsaNmyI++67DwUFBYiNja10n2eeeQaPPfYYAGD48OHauZp+/vlny5yAHm5ubggKCjJpX8110NeHy5j3ONUdjLdjYbxrgVWrgM2bgZwcICEBGDQIaNYMWLRIJlKVGT/e+ERJIzlZ7ke1TrWTpcOHDyM2NhaXL1/G0KFD0aBBAzz22GOIjY3Fr7/+arfO9o4qJSUFANCyZUt4enrq3WbPnj3VPu4DDzyADz/8UDup6O7du3XWOznJl44QotrH1ujatSsAoKioCJs3bzb5OGXZotzWZG48jTk/a1z3stq0aQNAJmNVmTp1KlavXg1vb29s374d8+bNAwCsXr260klxJ0yYgB49esDFxQVr1qzRPvQNtmFvOTk5uHXrFgCgdevWdi4NERHp0HfPevUq8Oabso/RlCkVk6LMTNlHyRSJiYCRrS6o5qh2svTQQw9h6tSp2LVrF7KysrBz5050794d27ZtwxNPPMHqZhvz8/MDAJw/f15vn4jExER89913le5ftl+MPppaDWdnZ53lvr6+AIDs7Oxqlbesjh074sEHHwQAvP/++3o7wJdVtqbCnuW2JnPjacz5mXPdjdG9e3cActQ9Q3FauHAhFi5cCBcXF2zatAmdOnXC4MGD0b59e5SUlODdd9/Vu1+/fv2gUqkQERGB4cOHax/+/v7VKqctHD58GGq1GkqlUpukEhGRhalUwO3bwPXrwIULMilJSAB27QJ+/BFYs0YOsvDPf8pR6qZNA2JigMOHgcq+O3JygE8+AcLCgJ49Ac2PkHFxgKktPG7cAJYuNW1fshuTBnjQSEtLw5UrV3D16lWkpKRACGGVZj1Uud69e8PJyQmZmZkYNmwYlixZgqCgIBQVFWHLli2IiYmBj48PMjIy9O4fExOD27dvY9CgQejWrZt2xLPc3FysXbsW3377LQCgT58+Ovu1bdsWW7duxY4dOzB16lSTmigpFAosX74c3bt3R3JyMjp37owFCxagT58+2lqV1NRUxMfHY/Xq1QgPD8fKlSvtXm5rMjeexpyfOdfdGF27doVSqURRURESExPRuXPnCtt8++23mDp1KhQKBb755hv07t1bW7Y5c+YgOjoaP/30ExISEiokGUIIHDt2DC+99FKVZSkqKsLx48eNKreHhwciIiKM2tZYhw4dAiB/ZPL29rbosYmIahWVCsjLu/fIzdX9v76HsdsUFVm37Pv3A2vXAi+/DMTH66+RMoZKJY81c6YlS0fWVt2JmX744Qcxfvx40axZM+Hk5CQUCoVo2bKlmDBhgvjxxx9Fdna26bM+2UFNnrTr3Llz4tSpU+LcuXNCiMonSp02bZp2ElQAws/PT7i4uGgn+ly3bp12XXmaY2oe3t7eol69ejrLHn/8cZGbm6uz3/nz54W7u7sAIJycnETjxo1FWFiYCAsLEykpKdU6z127don69etrn8/Z2VnUr19feHp66pRjzJgxNiu3MZPSGpr4NSwsTAAQX3/9daXbaMoZHx8vhLgX77Fjx5ocz+rExZTrbqzo6GgBQLz33nsV1m3fvl0olUoBQCxatEjv/p07dxYARNeuXSusu3DhggAglixZUmU5kpKSdM7F0CMiIsKoc7t7967Rk0N36dJFABCLFy/Wu778e5zqNsbbsdTKeBcVCZGVJcS1a0KcOyfEkSNC/PKLEP/+txCbNgnx7bdCfP65EB9/LMSsWUK8/bYQr78uxKuvCvHSS0I8+6wQ3bsL8dBDQrRsKURwsBD+/kK4ugoh62Zq7+PTT+U1evhh847TsaNNQlmT729rm2rXLA0cOBBNmzbFU089henTp6NXr1417tf5uuLu3bvaORoMmT9/PiIiIhAXF4cTJ06guLgYzZo1w4ABAzB16lQcPXq00n1nzJiBhx9+GPHx8Thz5gzS0tKQm5uLRo0aoUOHDhgyZAheeeWVCs3Zmjdvjvj4eHz44Yc4dOgQMjIyoCodQUZlzEgyZURFReHixYtYvnw5tm/fjtOnTyM7OxseHh5o06YNunTpgujoaERFRdWocluaJt4TJkxAt27dTIpndc7PlOturHHjxmHr1q347rvvMHfuXO0Q7gcPHsTAgQOhUqkwbdo0TJ48We/+8+bNQ69evZCQkICtW7ciOjpau05z/pqmhIY0adIE8fHxRpXZy8vLqO2MlZSUhIMHD8LDw0M7wW95xr7HqW5gvB2L1eJdXGxeLYyh9dauoamtgoPvDc5gYNoQo5i7P9mcQojq9XQ/ffq0tgN3XaBWq5GTk6OzzMfHR9tR3p6OHz+u/aBt3769vYtDVlaX4q1Wq9GiRQtcunQJBw4c0PZjsoTp06fjH//4B27fvm1writrKSgogIeHR5WT0s6ePRuxsbEYOXIkVq1apXebuhRzqhrj7UCKi3Hy0CGoc3LgVlyMlsHB5iUxZdeXm5uP9HByAry8AG9v+beyh5ub7NOUmqr/OE2bAu+/D/ztb/KYgOzzNHu2aU3xlEpgxgybNMOryfe3tU21k6W6hi8mIutYv349hg4dimeffRY7duyw2HGHDx+OHTt2VHvgCUsxJlnKy8tDeHg4cnJycO7cOYSFhdm2kERUtaIi82tiKlvPhKZqzs6VJzFVJTlVbePmBhgzKf3hw0CnThWX+/nJJGniRMDdXXddZibQvn3lCZYhQUFyMlsbDEjE+1vLMWuAByKiygwePBiLFy/Gzp07cejQIb0DPZgiPDwcWVlZmDZtGtq1awc/Pz/069fPIsc2JC4uDtnZ2drmjMePH8fcuXMByBEAy9aexcXF4datW3j77beZKBGZQ19CY6mBAZjQVK1sQmNuAlN+G1dX4xIaawoKAjw9gfx8+X+lUtYizZwJNGigf5+AACAy0rRkKTLSJokSWRZrlph5E1lNYmIitmzZgk6dOqFv374WOWZ2djbGjh2LvXv3IisrC3369MH27dstcmxDwsPDcfXqVb3rYmNjdSZAjouLQ0ZGBiZPnqwdDp6oztIkNJZIYsqvt3Nf0lpBqbRcAlP+URMSGmvbs0cOBx4SImuSWrSoep9r14DHHgNK50Y0SmioHM48ONj0slYD728th8kSX0xERFSXCWG4yZm5SQ4TmqqVTWiMSV6qk+S4utr77BzTiRPAc89VnLRWn9BQYNs2oF0765erFO9vLYfN8Gqw9PR0lJSUwNnZGQ0bNrR3ccjKGG/Hw5g7FoPx1pfQWHIeGlPnhXEkLi4WraHJKCiAys0NTj4+aMhRg61rxAhg9Wrg1VeB8n1JDa0zR7t2sqZo/Hg5Ce6NG7o/HCgU8n0dHGzTGiWLmj4dmDcP+OgjYOpU2z3vM88A//kPsHcv8OSTtnveSjBZqsGuX7+uHTmJN1J1H+PteBjzWkaT0JiYxLhcvw7X/HwoCwrk8cpvw4SmavoSGkv1pbFwDc21Y8dQnJsLl8JCJkt1zTffAFeuAD16yBqjzEwgLg4527bBKTcXam9v+BQXyyTqqadqZ6J07RrwySdAw4bAhAm2fe5Zs2Sy9NZbchAOO9eGMVkiIqK6QwigsNA6zc3MTGjqWfA0azRXV8skL/q24xxVVF1NmwItW8q/lvLNN8CBA/LfPXrIQR9mzsTl6GjtD2AdNmwA7t617PPa0vvvy/LPni3fe7b06KPA00/LhGntWqCSuQpthclSDRYWFga1Ws32pQ6C8XY8Dhvz8gmNJZub5eUBarW9z7Dm05fQWKqGhgkNAAd+f9c0H34oHzagE3MbPq/FpaYC69bJz4lRo+xThvHjZbK0YAGTJapcvXoO8zskgfF2RDU65kIABQWWS2DKP5jQVM3V1fLDNWseSn79W1uNfn+TVdSZmK9cKWvR+/WTtWb20KePfO5Tp2Sfr65d7VMOMFkiIqq99CU0lqqlYUJjHDc3yyUw5R9MaMjaevSQzcliY4H33pN9VL77Drh0SSbrHTsCb74JPPus4X3ffx9YsgRYvx64eBG4fRuIj5fblJWWBixeDOzcKfv8FBYCgYGyE/+bbwJt2lRe1nXrgM8+A44fl31YWrUCRo8Gxo41fI7GDPCQkgIsXQrs2gUkJcm+iYGBQNu2wIsvAv/3f3Jy2m++AUaOvLffBx/IR1lJSUB4uHHPu38/sGwZ8NtvwK1bgI8P0KEDMHy4rE1xdta/X9lrHxsLfPmlfJw5I78X2raV80VFRxu+NvoIAXz1lfz30KGVb5eQADz+uPz3998DAwdW3ObQIdlnKy8PePttWUtkLFdXee1XrgRWrGCyRERUZ2kSGmvMQZOfz4TGGJqExtK1NJ6eTGiobigqAnr1An75Rb6mvb2B7Gw5B9GePfKGvMxccjoKCuTN+2+/yX19fPRvt20bMGSI/BwDZHNNV1eZXHz1FbBmjbwxLt/kSgiZFH39tfy/QgHUqyc7/v/vfzIpc3Mz/dzXrAFee02eByDL5OEBXL4sHz/9BLRvLyeU9fAAGjeWAzoUF9/7PCirsgSnvDffBBYtundOfn7ymu/bJx9r1wJbtlR+PQFZ+zNgALB1q7z2np5ATg7w++9w+v13uE2disL33qve9Th5Ug7uAADdulW+XdeuQP/+8vrMnAm88ILuuZ87J4dWz8uTCeNHH1WvHADQvbt8Tfz739Xf14L4KV+DqVQqCCGgUCig5Bdyncd425EQsiOrNQYEyMuTxyfD3N0t28xM86hBCQ3f446lVsX7s89ksrB8ubyxdXeXtS1vvgn88IOsPXnoIXlzXN6yZfLv118DgwbJhCIjQ3cy2//9T9YSFBUB48YBkycDzZvLm+vkZHkj/dlnMilq00bWaGksXXovUYqJkYlbgway9mrxYlk2Uyf/3rFDnq8Q8uZ//nw52ayTE3DnDnDsmEymNCMlDhokH5qanbfe0kkitTFXqQzfYMfF3UuUXntNnkOTJvL7YuVKWQuzb5+sNduwofLjLFsmfzD75htZ++XhIROd118Hfv4ZbgsXonjQIKgfeMD4a/Lf/8q/ISGyTIbMnw9s3w6cPSuTu1dflcuvX5cDNNy6JROmL780bXLjzp3l35s35XO0alX9Y1hADX/3OrZTp07dG1WlQwd7F4esjPGugiahsfRgAJoaGiY0VSuf0FSVxBib5Hh6Gv9rbC3G97hjqVXxvn1b1u6U7cwfEgL8619Az57yBvrdd/UnS7m5snahX797y+rX190mJkYmSjNmyNHVygoNlTf9SqVsyjd3rqxRAWQCp2nm9vLLMnHS8POTiVNBgbxpry6VSpZLCNmcbO9e3eHjfX1lzYqh2pVydGJe2UZ378pyA7Km7Ysv7q3z8pKJpLMzMGmSvP5vvaWbPJaVlSWTqp497y0LDgY2boS4/34orl+Hy+bNKHzrLaPPAYcOyb/GvGZbt5bNDb/6SsZp6FD5nfrMM8DVq/K6fv+96T9YNW8uvyNyc4GDB5ksEVEdIIRMPCw9GAATGuN5eFhnQAAHSWiIHFJIiG5fHA0nJzkxae/ewOnTwIkTcjLWsiIidBOl8o4dA/74Qza7mzKl8u1eeUUmS3v2yOZlzs6yD1Fmplw/c6b+/d55R9YwaZrRGSs+XjYBBGQtj4Xn2arU7t33zqmypo2vvy5H0vvrL9kPrLJkqWtX3URJw81Nxuybb+B06lT1ynf9uvxr7Nx/H3wg+7klJcmkd/Pme6+Tn3+W30nmqF9f3htoymUHTJZqMF9fX6hUqppffU8WYbN4q9W6Tc6q20/G0Db5+dYte11RmtAUu7lB7eEBeHrCLSDA/D41TGhqNH6mO5ZaFe8ePSpvJtW9u6wZUKlkP6HyyVJVHe9//VX+VavlfEeV0cxhlpcnm/E1aiSfD5DJXLNm+vfz8wMeflgOOFAdv/0m/zZpUnkyUk1GxbzsObVooX8bZ2c56MW6dfe210fTTE2fwEAAgCIrq4pSl5OeLv8aOwpeUJCsBfvoI+Dvf5fLwsNlPyNDowMuXSrXv/yy4eMHBMhaKk257KAWvIMd13333WfvIpAN6cRbra68hsbcmhomNMYpW0NjiYEByg4KUDrvCmejcSz8THcstSreQUGVr3Nzk7/u37gh+46U16iR4WNragRKSuQxjKH5ntI8n6HyAbLpWXWlpcm/YWHV37cSRsW8uuek75prGBr8oTRhUxQXV12msjQ1dNUZNOONN4CPP5b3LgEBskawNFmr9DmmTJEj9lWVLGlqpqpbc2hBTJZqoMzMTMTFxSE+Ph45OTnw8fFBz549ERMTgwB7jXdPFelLaCzVn4YJjXE8PS3f3KxcQkNEVOeZ0vleo6rabE2NUatWcmhrU5hTPnse2xLPa+vyafqbGVsjpVLJQSo0I7Pm51fd9O7oUTma4COPVH18TZPF8v3gbIjJUg1y7do1jB8/HomJiUhLS0OJ5gMGwK+//ooVK1YgMjISy5cvR7Apv6I4IrW66sTE1CTn7l17n13toC+hsURNDRMaIiLL0AwVrU9hoWwWB1Rdi6SPZkS1y5fld6eXl/H7ap7PUPkAIDW1+uVq2lT+1fRbshXNOaWkGN5Oc87G9h2yFM3zaZIUQ4QAxoyRw8I3bCi/t5OS5AAWmrmaynvmGeA//5H/Hj5cPoCKg4RoaMph6+tQht2TpZycHMyZXpW9mAAAHHJJREFUMweJiYk4evQobt26hdjYWMwq1+ltxIgRWL16dYX9W7ZsibNnz+osu3jxIj744AMcOHAA6enpCAwMRHR0NN5//33Ut2NmasiJEyfw3HPPITk5We96lUqF1NRUpKamomvXrti2bRvalW83XFuVlOhvcmaJWhomNMbRJDSWnofGw4MJDRFRTXfggLzx1VeL8csvsvYAMK1vj6ZPU1GR7PyvuTk2hub5UlLkRLn6hsC+cwf488/ql+uxx+TfGzdkv6DqnJvme82UQYc0z3PtGnD+vP5+SyUlcgAKAOjUqfrPYY42bWTicvly1dtOnSon3vX2lkOIX7woR8RbvVo2s9M3yfCECTIBT0gAVq26t1wzwW1ZOTly+HFAjrxnJ3ZPljIyMrBixQp06NABzz//PL788stKt/Xw8MC+ffsqLCsrPT0djz76KHx9fTFnzhyEhobi6NGjiI2NRXx8PP7880841bCbt2vXrhlMlMpLTk7Gc889h4SEBNvVMGkSGmsM22zHdqi1ijVGOGNCY1eXL1/Wdga+//777V0csjLG27HUqngnJ8sb3BEjdJer1cA//iH/3bp1xcEdjNGxI/Dgg7Lp1fvvy/l3DNUSZGbeG1wgKgrw95dNwubMkfMJlbdggWk/jPbsCdx/v0wK/v73ikOHG+LrK/9mZ+ss1ol5ZftGRckmZRkZcjS8776ruM0XX9zr6zVkiHFlspTu3eVQ7MeOyaSmsr5LCxfKh4sLsGmTTOo6dpT7Hj8uh5rfurXifv36yZhFRFSdOB8+LF+DSmXVA4lYkd2TpbCwMGRlZUGhUODWrVsGkyUnJyc8+uijBo+3detWZGRk4F//+heeeuopAEDPnj1RWFiI9957D8eOHcODDz5o0XMw1/jx441OlDSSk5Mxfvx4bNu27d7CkhLLDwbAhMZ4CoVpTc5K1yfdvIkiFxc4+figeWQkExoHkJOTo52Tg+o+xtux1Kp4+/nJzvbFxbLDvWZS2rfeulfDMW+eacdWKORkt927y6Ssc2d5s9ynj/zOBGQzuvh4mbCFh8uJWQH53Tdjhpwcd/VqOXrajBky2bhzB/j0U5nM1atXIXGpkrOznBy2b185Yt9TT8nhustOSnvkiJxQ9b33dGtJ2raVicCOHbJ2pXSwBqNi7uEhk6SJE+Ww4L6+cvjtxo3lj9JffXVviPVBg+RIf7bUtatMToqKgMRE/SPuffutPG+FQiawvXvL5QqFTGqjo2XtVEJCxSRHCJmIvfRS1WXRzPn00EPyXslO7J4sKSzccU3zAvUrN5tzvdLhC93d3S36fObKzMxEYmJitfcLBDBq3z6UhITAWdOErbDQ8gWsazQJjaWbm2kSGjNez3eOHbv3Idu2rQVPmoiIyIDXX5fN7V57TTaT8vbW7eA/fTowYIDpx3/kETnnzpAhsk/LwIEyWalXT9YKlR3UaMwY3X3feEPWSq1ZI5OjpUtlcnfnjvyRePBgWfuhp6tGlZ59Vt7sv/aaTJi6dZPH8vDQTb7KT+r66qvAP/8pm52FhsqaMnd3tC4qwpmVK6senS8mRtZoLVoka5FWrJDXIifnXpPHnj3vJY225OsrE8itW2XCUz5Z2rEDGD1aJj2LFslmd2X17y/3OXQImDbt3tDxGpcuyfM0puLip5/k3/LPYWN2T5aq4+7du2jSpAnS09PRtGlTPP/885g9e7bOCHHPP/88QkNDMWXKFHz22WcICwvDkSNHMH/+fPTr1w+t7djmUZ+4uDikaYavrIYlAF64e7fqTo+1kUJhneZmFkhorKktEySHw5g7FsbbsdSqeLu6ymZo//ynbBZ2+bJMSDp2lLU6ffqY/xxRUTK5WL5c9m85fVomJB4estamSxdZIxEVpbufk5OsyYiKAj77TE54qlLJ2obRo2Wio29CXWO98oqs9fr0Uznk9dWrslblgQdks8MXX6zYX6Z5c1kT9uGHMinIyABUKrgCaNuqlawdq8onn8gmacuWyRqYjAw5FHhkpKzde+UV+82bN26cTJa++w6YO/fefdPBgzLRValkIjR5sv79580DevWS57V1q4yrxtGj8m9VyVJSknw+Dw95LexIIYQpvdOs49atW2jYsKHeAR4WLVoE4N6Hz4EDB7Bo0SKEhobijz/+gHeZ6rm//voLL774Ig4ePKhdNnDgQKxZswZu5dpeqtVq5OTk6CxLTk5GWFgYfDVtUgEUFhZqB5Lw9/dHaGiozj4XLlxAfukvIx06dKhwXqmlI7WEhobC399fu65Hjx44cOBAFVemot8BGJiKzOqEQgG1hwecfXx0EpRCpRIFzs5Qe3jAu3FjuNSrp11f7OqKtNxcqD084NmwIRqGh+skMpfS0pCnUADu7mhf7hqmp6fjemn73bCwMG1NISAHvzhVOkO1r69vhXkOLl++rI1x27Zt4VzmwycrK0vbBDIoKAgNGjTQ2ffYsWMAAE9PTzRv3lxnXXJyMrJKf3lr1aqVzmvrzp07SCodYadx48ZoohkNqNSpU6egUqng5uaGVq1a6ay7fv060ksnX2vWrBm8yowclJ+fjwsXLgAA6tevX6HP2rlz51BQUABnZ+cKX9Q3b97EX3/9BQAIDw/XqX0tKirCmdIhXf38/BBe7oP+0qVLyM3NBQC0a9dOp99fRkYGrpUm7cHBwTqDqKjVapw4cQIA4O3tjQfKdc69cuUKbt++DQBo3bo1XMu0F799+zauXLkCAGjatCkalRuF6eTJkygpKYG7uztalpvo8Nq1a8goHb2pefPm8NQ09QCQl5eHixcvAgAaNmyIwHJzQZw9exaFhYVQKpWIiIjQWZeWloYbpfOE3HfffTb5jCgpKcHJkycBAD4+PhX6PiQlJeHOnTsAgIiICJ3JELOzs3H16lUAQGBgIBqW6ydw/PhxCCHg4eGBFuU6GaekpCCzdBSili1b6tTK5+bm4tKlSwCARo0aoalmVKlSp0+f1taStinXwfevv/7CzdJ5Qx544AGdz+6CggKcO3cOABAQEICQkBCdfc+fP4+7d+9CoVCgffv2Ouv4GSHxM+IefkZIhj4jVI8/DmVCAtLGjYPznDn8jEDd+YzIyMio8Brz8fExrt++Wi0Hnrh0SQ7+0b171fsYa/p02XTy9m3D80TNni1H1Rs5UncgCDuoNTVLf9fMClwqKioKDz74IF566SWsXLlSuz4rKwvR0dHIz8/HunXrEBISgpMnT2LOnDno378/tm/fXuVs2iqVCuVzSCEEiksn9lJpqkjL7VNcycRfarVau06tGYe+lObLpboWAthYxTaahEbt6QkXPz+dxCRfocBdJyeoPTzgHxICZZn1d52ccP32bag9PFAvKEgmNWVqao5fuoQiJye4uLpW+EBPv3ZNW1PWokULuJT5olDdvYsbpR9GDRo0kMctozA/H0X5+VDoub4lJSWVXkNrxQaA0cc19HopOwR82eOqVCq9H1plz9WU4xYXF+tdZ+i4mn2rOq4+xl5DffuXLVN5VZ1rUVER1Gq1zpeWvuOaeg31XSNjj1tTXodlj1vZuQoh9LavN3Suxhy3snM19r2s77iac9XXfJufEcYfl58R/IzQlqnM8cHPCO0xKjuuPjX1M0Lf8xnNyUn2PRo6VA7YYMlk6coV2eTQUKKUlyebW7q5yYTJzmpNsqTPgAED4OXlhd9//1277KOPPkJiYiKuXr2q/SWjW7duaNWqFZ588kmsW7cOr776qsHjKpXKCm80hUKh/bDQl2wplcpKO/Q5OTlp15V/UXub2GHtBwBNAPxfixaY9PbbqB8aCv/gYJ2E6MT58xCA3l+EMsr8IuTTsiWUZX4RKsnNRW7pL0LejRrdm4tAc643b0JU0oHR2dm50nMtew31fXlprqG+Dzljj2vJ2AAw+riGXi/6zlVznlVdQ1OOW1JSonedoeNq9jV0XHOvYVXnWl5V5+rq6oqSkhKrXEO1Wq035sYet6a8Dsset7JzFUJU+1yNOW7Zv5Udl58R/Iwoe1x+RtjhdVjm+PyMqGGxMfMzoqqKgSoNHgwsXgzs3CmbGuob6MEU4eGyP9y0abKZo59fxfmV4uLkkOFvvw2EhVnmec1Qa5rh6aNWq+Hj44P+/ftj/fr1AIBnnnkG586d01ZdauTm5sLHxwdvvfUWPv74Y51jlG+GZ3Q1pQXMnj0bs2fP1vurQVWUSiVmzJiBmTNnWqFkZGtZWVlQq9VwcnLSaWJBdRdj7lgYb8dSK+Ldo4dsZhUbK0doI7PUpJhb5P42MRHYskUOC963r2UKlp0NjB0r+8hlZcn+cNu3624TFyf7cE2eLJMpO6vVNUs//PAD8vPzdYYTDwwMxN69e5Gamoqg0qEcAWj7L9lsXiIjxcTEYMWKFdq2yNXRuHFjTJw40QqlIntITk7WtuG294cs2QZj7lgYb8fCeDueOhfzyEj5sKR69YCNVXQkiYmx7HOaqUYkSzt37kReXp42Az59+jR++OEHAECfPn2Qnp6OoUOHYvDgwWjWrBkUCgUOHDiAxYsXIyIiAmPKDDM5YcIErFu3DlFRUXjnnXe0fZbmzp2Lxo0bY9iwYXY5x8oEBAQgMjLSpGQpMjKybrwZiYiIyPb277d3CYhqvBrRDC88PFw7YlN5SUlJ8PPzw+jRo3H06FHcuHEDJSUlCAsLw4ABA/Dee+9VmFPp6NGjmDNnDv744w+kp6cjKCgITz75JGbOnFlh5BR7N8MD5Kg8jz32GFJSUozeJzQ0FAkJCTWupoxMd+vWLW31ffnRdKhuYswdC+PtWBhvx1OTYl4T7m/rihqRLNlTTXkxnThxAs8995x2+ElDQkNDsW3bNrRr184GJSMiIiKi2qSm3N/WBbxiNUS7du2QkJCAvn37IigoqMIoJkqlEkFBQejbty8SEhKYKBERERERWRlrlmpg5p2ZmYm4uDjs378fOTk58PHxQY8ePRATE4OAgAC7lYuIiIiIar6aeH9bWzFZ4ouJiIiIiOoQ3t9aTo0YDY/0O3bsmHYIyg4dOti7OGRljLfjYcwdC+PtWBhvx8OY101ML4mIiIiIiPRgzVIN5unpCZVKVWGwB6qbGG/Hw5g7FsbbsTDejocxr5vYZ4ltOomIiIioDuH9reXwihEREREREenBZImIiIiIiEgPJktERERERER6sAdaDZacnKztKBgaGmrv4pCVMd6OhzF3LIy3Y2G8HQ9jXjexZqkGy8rKQmZmJrKysuxdFLIBxtvxMOaOhfF2LIy342HM6yYmS0RERERERHpw6PAaPLRiYWEhhBBQKBRwc3Ozd3HIyhhvx8OYOxbG27Ew3o6nJsW8Jt/f1jbss1SD2fuNRrbFeDsextyxMN6OhfF2PIx53cT0koiIiIiISA8mS0RERERERHo4fDM8fV221Gq1HUpSUdm2pj4+PnYsCdkC4+14GHPHwng7Fsbb8dSkmOu7l3XwYQpM5vADPKhUKuTl5dm7GEREREREVuPl5QWl0uHrSaqNzfCIiIiIiIj0YLJERERERESkB5MlIiIiIiIiPRy+z5Jara7QCU6hUEChUNipREREREREphNCVBjQwcnJiZPSmsDhkyUiIiIiIiJ9mF4SERERERHpwWTJDnJzczF58mQEBgbC3d0dkZGR2LBhg1H73rx5EyNGjECDBg3g6emJLl26YO/evVYuMZnD1Hj/+OOPGDJkCJo1awYPDw+Eh4dj2LBhuHDhgg1KTeYw5z1e1vTp06FQKNC2bVsrlJIsxdx4b926FU888QR8fX3h5eWFiIgIrFixwoolJnOYE+/4+HhERUWhUaNG8Pb2Rvv27bFkyRKUlJRYudRkqpycHEydOhW9e/dGw4YNoVAoMGvWLKP3531bHSDI5qKiokS9evXE8uXLxb59+8SYMWMEALFu3TqD+xUUFIi2bduK4OBgsXbtWrFr1y4RHR0tlEql2L9/v41KT9VlarwfeeQR0b9/f7Fq1Sqxf/9+sWbNGtG6dWvh7e0tTp48aaPSkylMjXlZR48eFW5ubqJx48YiIiLCiqUlc5kT7w8//FA4OTmJ119/XezcuVPs2bNHxMXFiaVLl9qg5GQKU+O9e/du4eTkJHr06CG2bNkidu/eLSZOnCgAiEmTJtmo9FRdSUlJws/PT3Tv3l0b69jYWKP25X1b3cBkyca2b98uAIjvvvtOZ3lUVJQIDAwUKpWq0n2XLVsmAIjffvtNu6y4uFi0adNGPPLII1YrM5nOnHjfuHGjwrLU1FTh4uIiRo8ebfGykmWYE3ON4uJiERkZKSZNmiSeeOIJJks1mDnxPnz4sHBychIfffSRtYtJFmJOvIcNGybc3NxEbm6uzvLevXsLX19fq5SXzKdWq4VarRZCCJGenl6tZIn3bXUDm+HZ2ObNm+Ht7Y2BAwfqLB85ciSuX7+OQ4cOGdy3ZcuW6NKli3aZUqnE8OHD8b///Q+pqalWKzeZxpx4N2rUqMKywMBABAcHIyUlxeJlJcswJ+Ya8+fPR2ZmJubNm2etYpKFmBPvuLg4uLm5YeLEidYuJlmIOfF2cXGBq6srPDw8dJbXq1cP7u7uVikvmc+cEZJ531Y3MFmysZMnT6J169ZQKpU6y9u3b69db2hfzXb69j116pQFS0qWYE689bl8+TKuXr2KiIgIi5WRLMvcmJ8+fRpz587F559/Dm9vb6uVkyzDnHj/97//RevWrbFp0ya0bNkSzs7OCA4OxjvvvIOioiKrlptMY068x48fj6KiIkyaNAnXr19HdnY21qxZg82bN2Pq1KlWLTfZB+/b6gYmSzaWkZGBgICACss1yzIyMqyyL9mHJWOmUqkwevRoeHt74+9//7vFykiWZU7M1Wo1Ro0ahRdeeAF9+vSxWhnJcsyJd2pqKi5cuIBJkyZh0qRJ2LNnD0aMGIGFCxdi5MiRViszmc6ceHfu3Bn79u3D5s2bERQUBH9/f4wcORLz5s3DlClTrFZmsh/et9UNyqo3IUszVJ1bVVWvOfuSfVgiZkIIjB49Gr/88gs2bdqEkJAQSxWPrMDUmH/yySe4cOECfvrpJ2sUi6zE1Hir1Wrk5ORg/fr1GDx4MACgZ8+eyMvLw+LFi/HBBx+gWbNmFi8vmcfUeP/5558YMGAAOnfujC+++AJeXl7Yt28fpk+fjoKCAsyYMcMaxSU7431b7cdkycbq16+v95eEzMxMAND7C4Ql9iX7sETMhBAYM2YM1q5di9WrVyM6Otri5STLMTXmycnJmDlzJubPnw9XV1dkZ2cDkDWKarUa2dnZcHNzq9DfgezL3M/0tLQ0PP300zrLn332WSxevBhHjhxhslTDmBPvCRMmoHHjxti8eTOcnZ0ByOTYyckJs2bNwrBhw3D//fdbp+BkF7xvqxvYDM/G2rVrhzNnzkClUuksP3HiBAAYnE+lXbt22u2quy/ZhznxBu4lSl9//TW+/PJLDB8+3GplJcswNeaXL1/G3bt38cYbb8Df31/7SEhIwJkzZ+Dv7493333X6uWn6jHnPa6vLwMg3/cA4OTEr+iaxpx4JyYm4uGHH9YmShqdOnWCWq3GmTNnLF9gsivet9UN/CS2sQEDBiA3NxebNm3SWb569WoEBgaic+fOBvc9e/aszmg7KpUKa9euRefOnREYGGi1cpNpzIm3EAJjx47F119/jS+++IJ9GGoJU2MeGRmJ+Pj4Co8OHTogPDwc8fHxiImJscUpUDWY8x5/8cUXAQA7d+7UWb5jxw44OTmhU6dOli8wmcWceAcGBuLw4cMVJqA9ePAgACA4ONjyBSa74n1bHWHXgcsdVFRUlPD39xcrVqwQ+/btE2PHjhUAxNq1a7XbjBo1Sjg7O4srV65olxUUFIiIiAgREhIi1q1bJ3bv3i0GDBjAyc1qOFPjHRMTIwCIUaNGiYMHD+o8jhw5Yo9TISOZGnN9OM9SzWdqvIuKisRDDz0k/Pz8xKeffip2794tpk2bJpydnUVMTIw9ToWMYGq8lyxZIgCIZ599VmzZskXs2rVLTJs2TSiVStGrVy97nAoZaceOHWLjxo1i1apVAoAYOHCg2Lhxo9i4caPIy8sTQvC+rS5jsmQHOTk5YtKkSaJJkybC1dVVtG/fXqxfv15nm1dffVUAEElJSTrL09LSxCuvvCICAgKEu7u7ePTRR8Xu3bttWHqqLlPjHRYWJgDofYSFhdn2JKhazHmPl8dkqeYzJ94ZGRli3LhxonHjxsLFxUW0aNFCfPzxx6KkpMSGZ0DVYU68N23aJB5//HHRoEED4eXlJSIiIsScOXMqTFRLNYuh72NNjHnfVncphChtHE1ERERERERa7LNERERERESkB5MlIiIiIiIiPZgsERERERER6cFkiYiIiIiISA8mS0RERERERHowWSIiIiIiItKDyRIREREREZEeTJaIiMgqZs2aBYVCYe9iEBERmYzJEhERERERkR5MloiIiIiIiPRgskRERGbbvn07IiMj4ebmhvvuuw8LFy6ssM2yZcvQvXt3NGrUCF5eXmjXrh0WLFiA4uJi7TZz5syBUqlESkpKhf1HjRqF+vXro6CgwKrnQkREpKG0dwGIiKh227t3L6Kjo9GlSxds2LABJSUlWLBgAW7cuKGz3aVLlzB06FDcd999cHV1xbFjxzBv3jycPXsWq1atAgCMGzcO8+bNwxdffIG5c+dq983MzMSGDRsQExMDd3d3m54fERE5LoUQQti7EEREVHs9+uijSElJwaVLl7SJTE5ODsLDw5GZmQl9XzNqtRpqtRrr16/HyJEjkZ6eDn9/fwDAiBEjsHPnTqSkpMDV1RUAsGDBArz77ru4dOkSwsPDbXZuRETk2NgMj4iITJaXl4c//vgDL7zwgk6Nj4+PD/r166ez7dGjR9G/f3/Ur18fzs7OcHFxwSuvvIKSkhKcP39eu90bb7yBmzdvYuPGjQBkYvX555+jb9++TJSIiMimmCwREZHJsrKyoFar0aRJkwrryi5LTk5Gt27dkJqaik8//RS//PIL/vjjDyxbtgwAcPfuXe22Dz74ILp166Zdt23bNly5cgUxMTFWPhsiIiJd7LNEREQm8/f3h0KhQFpaWoV1ZZdt2bIFeXl5+PHHHxEWFqZdnpiYqPe4kyZNwsCBA3HkyBHExcWhRYsWiIqKsvwJEBERGcCaJSIiMpmXlxceeeQR/Pjjjzqj1OXk5ODnn3/W/l8zOa2bm5t2mRACK1eu1HvcAQMGIDQ0FFOmTMGePXvw+uuvc4JbIiKyOSZLRERkljlz5iAtLQ1RUVHYsmULNm3ahKeeegpeXl7abaKiouDq6oohQ4Zg586d2Lx5M55++mlkZWXpPaazszMmTJiA/fv3w9PTEyNGjLDR2RAREd3DZImIiMyiSZLu3LmDQYMG4c0338SLL76IUaNGabdp1aoVNm3ahKysLLzwwguYOHEiIiMjsWTJkkqPO2jQIADAyy+/DD8/P6ufBxERUXkcOpyIiGqkpUuXYtKkSTh58iQiIiLsXRwiInJATJaIiKhGOXr0KJKSkjBu3Dh07doVW7ZssXeRiIjIQTFZIiKiGiU8PBxpaWno1q0b1qxZo3dYciIiIltgskRERERERKQHB3ggIiIiIiLSg8kSERERERGRHkyWiIiIiIiI9GCyREREREREpAeTJSIiIiIiIj2YLBEREREREenBZImIiIiIiEgPJktERERERER6MFkiIiIiIiLS4/8BIXSzq1GOIZgAAAAASUVORK5CYII=\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "gh.plot_estimate_chart_3()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now let's try a randomly chosen number to scale our estimate: $\\frac{4}{10}$. Our estimate will be four tenths the measurement and the rest will be from the prediction. In other words, we are expressing a belief here, a belief that the prediction is somewhat more likely to be correct than the measurement. We compute that as\n", "\n", "$$\\mathtt{estimate} = \\mathtt{prediction} + \\frac{4}{10}(\\mathtt{measurement} - \\mathtt{prediction})$$\n", "\n", "The difference between the measurement and prediction is called the *residual*, which is depicted by the black vertical line in the plot above. This will become an important value to use later on, as it is an exact computation of the difference between measurements and the filter's output. Smaller residuals imply better performance.\n", "\n", "Let's code that and see the results when we test it against the series of weights from above. We have to take into account one other factor. Weight gain has units of lbs/time, so to be general we will need to add a time step $t$, which we will set to 1 (day). \n", "\n", "I hand generated the weight data to correspond to a true starting weight of 160 lbs, and a weight gain of 1 lb per day. In other words on the first day (day zero) the true weight is 160lbs, on the second day (day one, the first day of weighing) the true weight is 161 lbs, and so on. \n", "\n", "We need to make a guess for the initial weight. It is too early to talk about initialization strategies, so for now I will assume 160 lbs." ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "scrolled": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "previous: 160.00, prediction: 161.00 estimate 159.80\n", "previous: 159.80, prediction: 160.80 estimate 162.16\n", "previous: 162.16, prediction: 163.16 estimate 162.02\n", "previous: 162.02, prediction: 163.02 estimate 161.77\n", "previous: 161.77, prediction: 162.77 estimate 162.50\n", "previous: 162.50, prediction: 163.50 estimate 163.94\n", "previous: 163.94, prediction: 164.94 estimate 166.80\n", "previous: 166.80, prediction: 167.80 estimate 167.64\n", "previous: 167.64, prediction: 168.64 estimate 167.75\n", "previous: 167.75, prediction: 168.75 estimate 169.65\n", "previous: 169.65, prediction: 170.65 estimate 170.87\n", "previous: 170.87, prediction: 171.87 estimate 172.16\n" ] } ], "source": [ "from kf_book.book_plots import figsize\n", "import matplotlib.pyplot as plt\n", "\n", "weights = [158.0, 164.2, 160.3, 159.9, 162.1, 164.6, \n", " 169.6, 167.4, 166.4, 171.0, 171.2, 172.6]\n", "\n", "time_step = 1.0 # day\n", "scale_factor = 4.0/10\n", "\n", "def predict_using_gain_guess(weight, gain_rate, do_print=False): \n", " # store the filtered results\n", " estimates, predictions = [weight], []\n", "\n", " # most filter literature uses 'z' for measurements\n", " for z in weights: \n", " # predict new position\n", " prediction = weight + gain_rate * time_step\n", "\n", " # update filter \n", " weight = prediction + scale_factor * (z - prediction)\n", "\n", " # save\n", " estimates.append(weight)\n", " predictions.append(prediction)\n", " if do_print:\n", " gh.print_results(estimates, prediction, weight)\n", "\n", " return estimates, predictions\n", "\n", "initial_guess = 160.\n", "\n", "estimates, predictions = predict_using_gain_guess(\n", " weight=initial_guess, gain_rate=1, do_print=True) " ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "scrolled": false }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# plot results\n", "book_plots.set_figsize(10)\n", "gh.plot_gh_results(weights, estimates, predictions)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "That is pretty good! There is a lot of data here, so let's talk about how to interpret it. The thick blue line shows the estimate from the filter. It starts at day 0 with the initial guess of 160 lbs. The red line shows the prediction that is made from the previous day's weight. So, on day one the previous weight was 160 lbs, the weight gain is 1 lb, and so the first prediction is 161 lbs. The estimate on day one is then part way between the prediction and measurement at 159.8 lbs. Below the chart is a print out of the previous weight, predicted weight, and new estimate for each day. Finally, the thin black line shows the actual weight gain of the person being weighed.\n", "\n", "Walk through this for each day, ensuring you understand how the prediction and estimates were formed at each step. Note how the estimate always falls between the measurement and prediction.\n", "\n", "The estimates are not a straight line, but they are straighter than the measurements and somewhat close to the trend line we created. Also, it seems to get better over time.\n", "\n", "The results of the filter may strike you as quite silly; of course the data will look good if we assume the conclusion, that our weight gain is around 1 lb/day! Let's see what the filter does if our initial guess is bad. Let's predict that there is a weight loss of 1 lb a day:" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "scrolled": false }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "e, p = predict_using_gain_guess(initial_guess, -1.)\n", "gh.plot_gh_results(weights, e, p)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "That is not so impressive. The estimates quickly divert from the measurements. Clearly a filter that requires us to correctly guess a rate of change is not very useful. Even if our initial guess was correct, the filter will fail as soon as that rate of change changes. If I stop overeating the filter will have extreme difficulty in adjusting to that change. Note that it is adjusting! The estimates are climbing even though we tell it we are losing 1 lb a day. It just can't adjust fast enough.\n", "\n", "But, 'what if'? What if instead of leaving the weight gain at the initial guess of 1 lb (or whatever), we compute it from the existing measurements and estimates. On day one our estimate for the weight is:\n", "\n", "$$\n", "(160 + 1) + \\frac{4}{10}(158-161) = 159.8\n", "$$\n", "\n", "On the next day we measure 164.2, which implies a weight gain of 4.4 lbs (since 164.2 - 159.8 = 4.4), not 1. Can we use this information somehow? It seems plausible. After all, the weight measurement itself is based on a real world measurement of our weight, so there is useful information. Our estimate of our weight gain may not be perfect, but it is surely better than just guessing our gain is 1 lb. Data is better than a guess, even if it is noisy.\n", "\n", "People really balk at this point, so make sure you are in agreement. Two noisy measurements of weight give us an implied weight gain/loss. That estimate is going to be very inaccurate if the measurements are inaccurate, but there is still information in this computation. Imagine weighing a cow with a scale accurate to 1 lb, and it shows that the cow gained 10 lbs. The cow might have gained 8 lbs up to 12 lbs, depending on the errors, but we know it gained weight, and roughly how much. This is information. What do we do with information? Never throw it away!\n", "\n", "Back to my diet. Should we set the new gain/day to 4.4 lbs? Yesterday we thought the weight gain was 1 lb, today we think it is 4.4 lbs. We have two numbers, and want to combine them somehow. Hmm, sounds like our same problem again. Let's use our same tool, and the only tool we have so far - pick a value part way between the two. This time I will use another arbitrarily chosen number, $\\frac{1}{3}$. The equation is identical as for the weight estimate except we have to incorporate time because this is a rate (gain/day):\n", "\n", "$$\\text{new gain} = \\text{old gain} + \\frac{1}{3}\\frac{\\text{measurement - predicted weight}}{1 \\text{ day}}\n", "$$" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "scrolled": false }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "weight = 160. # initial guess\n", "gain_rate = -1.0 # initial guess\n", "\n", "time_step = 1.\n", "weight_scale = 4./10\n", "gain_scale = 1./3\n", "estimates = [weight]\n", "predictions = []\n", "\n", "for z in weights:\n", " # prediction step\n", " weight = weight + gain_rate*time_step\n", " gain_rate = gain_rate\n", " predictions.append(weight)\n", " \n", " # update step \n", " residual = z - weight\n", " \n", " gain_rate = gain_rate + gain_scale * (residual/time_step)\n", " weight = weight + weight_scale * residual\n", " \n", " estimates.append(weight)\n", "\n", "gh.plot_gh_results(weights, estimates, predictions)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "I think this is starting to look really good. Because of the poor initial guess of the weight gain being -1 it takes the filter several days to accurately predict the weight, but once it does that it starts to accurately track the weight. We used no methodology for choosing our scaling factors of $\\frac{4}{10}$ and $\\frac{1}{3}$ (actually, they are poor choices for this problem), but otherwise all of the math followed from very reasonable assumptions. Recall that you can change the value of the parameter `time_step` to a larger value and re-run the cell if you want to see the plot drawn step-by-step.\n", "\n", "One final point before we go on. In the prediction step I wrote the line\n", "```python\n", "gain_rate = gain_rate\n", "``` \n", "This obviously has no effect, and can be removed. I wrote this to emphasize that in the prediction step you need to predict the next value for all variables, both `weight` and `gain_rate`. This will become relevant shortly. In this case we are assuming that the gain does not vary, but when we generalize this algorithm we will remove that assumption. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## The g-h Filter" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This algorithm is known as the [g-h filter](https://en.wikipedia.org/wiki/Alpha_beta_filter) or the $\\alpha$-$\\beta$ filter. $g$ and $h$ refer to the two scaling factors that we used in our example. $g$ is the scaling we used for the measurement (weight in our example), and $h$ is the scaling for the change in measurement over time (lbs/day in our example). $\\alpha$ and $\\beta$ are just different names used for this factors." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This filter is the basis for a huge number of filters, including the Kalman filter. In other words, the Kalman filter is a form of the g-h filter, which I will prove later in the book. So is the Least Squares filter, which you may have heard of, and so is the Benedict-Bordner filter, which you probably have not. Each filter has a different way of assigning values to $g$ and $h$, but otherwise the algorithms are identical. For example, the Benedict-Bordner filter assigns a constant to $g$ and $h$, constrained to a certain range of values. Other filters such as the Kalman will vary $g$ and $h$ dynamically at each time step.\n", "\n", "**Let me repeat the key points as they are so important**. If you do not understand these you will not understand the rest of the book. If you do understand them, then the rest of the book will unfold naturally for you as mathematical elaborations to various 'what if' questions we will ask about $g$ and $h$. The math may look profoundly different, but the algorithm will be exactly the same.\n", "\n", "* Multiple data points are more accurate than one data point, so throw nothing away no matter how inaccurate it is.\n", "* Always choose a number part way between two data points to create a more accurate estimate.\n", "* Predict the next measurement and rate of change based on the current estimate and how much we think it will change.\n", "* The new estimate is then chosen as part way between the prediction and next measurement scaled by how accurate each is.\n", "\n", "Let's look at a visual depiction of the algorithm." ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "scrolled": false }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "book_plots.predict_update_chart()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let me introduce some more formal terminology. The *system* is the object that we want to estimate. In this chapter the system is whatever we are trying to weigh. Some texts call this the *plant*. That terminology comes from control system theory. https://en.wikipedia.org/wiki/Plant_(control_theory%29\n", "\n", "The *state* of the system is the current configuration or values of that system that is of interest to us. We are interested only in the weight reading. If I put a 100 kg weight on the scale, the state is 100kg. We define the state based on what is relevant to us. The color of the scale is irrelevant to us so we do not include those values in the state. A QA engineer for the manufacturer might include color in the state so that she can track and control the manufacturing process. \n", "\n", "The *measurement* is a measured value of the system. Measurements can be inaccurate, so it may not have the same value as the state.\n", "\n", "The *state estimate* is our filter's estimate of the state. For example, for the 100 kg weight our estimate might be 99.327 kg due to sensor errors. This is commonly abbreviated to *estimate*, and I have done that in this chapter.\n", "\n", "In other words, the state should be understood as the actual value of the system. This value is usually *hidden* to us. If I stepped on a scale you'd then have a *measurement*. We call this *observable* since you can directly observe this measurement. In contrast, you can never directly observe my weight, you can only measure it. \n", "\n", "This language of *hidden* and *observable* is important. Any estimation problem consists of forming an estimate of a hidden state via observable measurements. If you read the literature these terms are used when defining a problem, so you need to be comfortable with them.\n", "\n", "We use a *process model* to mathematically model the system. In this chapter our process model is the assumption that my weight today is yesterday's weight plus my weight gain for the last day. The process model does not model or otherwise account for the sensors. Another example would be a process model for an automobile. The process model might be \"distance equals velocity times time. This model is not perfect as the velocity of a car can vary over a non-zero amount of time, the tires can slip on the road, and so on. The *system error* or *process error* is the error in this model. We never know this value exactly; if we did we could refine our model to have zero error. Some texts use *plant model* and *plant error*. You may also see *system model*. They all mean the same thing.\n", "\n", "The predict step is known as *system propagation*. It uses the *process model* to form a new *state estimate*. Because of the *process error* this estimate is imperfect. Assuming we are tracking data over time, we say we *propagate* the state into the future. Some texts call this the *evolution*. \n", "\n", "The update step is known as the *measurement update*. One iteration of the system propagation and measurement update is known as an *epoch*. \n", "\n", "Now let's explore a few different problem domains to better understand this algorithm. Consider the problem of trying to track a train on a track. The track constrains the position of the train to a very specific region. Furthermore, trains are large and slow. It takes many minutes for them to slow down or speed up significantly. So, if I know that the train is at kilometer marker 23 km at time t and moving at 18 kph, I can be extremely confident in predicting its position at time t + 1 second. Why is that important? Suppose we can only measure its position with an accuracy of $\\pm$ 250 meters. The train is moving at 18 kph, which is 5 meters per second. At t+1 seconds the train will be at 23.005 km yet the measurement could be anywhere from 22.755 km to 23.255 km. So if the next measurement says the position is at 23.4 we know that must be inaccurate. Even if at time t the engineer slammed on the brakes the train will still be very near to 23.005 km because a train cannot slow down very much in 1 second. If we were to design a filter for this problem (and we will a bit further in the chapter!) we would want to design a filter that gave a very high weighting to the prediction vs the measurement. \n", "\n", "Now consider the problem of tracking a thrown ball. We know that a ballistic object moves in a parabola in a vacuum when in a gravitational field. But a ball thrown on Earth is influenced by air drag, so it does not travel in a perfect parabola. Baseball pitchers take advantage of this fact when they throw curve balls. Let's say that we are tracking the ball inside a stadium using computer vision, something I do at work. The accuracy of the computer vision tracking might be modest, but predicting the ball's future positions by assuming that it is moving on a parabola is not extremely accurate either. In this case we'd probably design a filter that gave roughly equal weight to the measurement and the prediction.\n", "\n", "Now consider trying to track a helium party balloon in a hurricane. We have no legitimate model that would allow us to predict the balloon's behavior except over very brief time scales (we know the balloon cannot go 10 miles in 1 second, for example). In this case we would design a filter that emphasized the measurements over the predictions.\n", "\n", "Most of this book is devoted to expressing the concerns in the last three paragraphs mathematically, which then allows us to find an optimal solution (in some mathematical sense). In this chapter we will merely be assigning different values to $g$ and $h$ in a more intuitive, and thus less optimal way. But the fundamental idea is to blend somewhat inaccurate measurements with somewhat inaccurate models of how the systems behaves to get a filtered estimate that is better than either information source by itself.\n", "\n", "We can express this as an algorithm:\n", "\n", "**Initialization**\n", "\n", " 1. Initialize the state of the filter\n", " 2. Initialize our belief in the state\n", "\n", "**Predict**\n", "\n", " 1. Use system behavior to predict state at the next time step\n", " 2. Adjust belief to account for the uncertainty in prediction\n", " \n", "**Update**\n", "\n", " 1. Get a measurement and associated belief about its accuracy\n", " 2. Compute residual between estimated state and measurement\n", " 3. New estimate is somewhere on the residual line\n", " \n", "We will use this same algorithm throughout the book, albeit with some modifications. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Notation\n", "\n", "I'll begin to introduce the notations and variable names used in the literature. Some of this was already used in the above charts. Measurement is typically denoted $z$ and that is what we will use in this book (some literature uses $y$). Subscript $k$ indicates the time step, so $z_k$ is the data for this time step. A bold font denotes a vector or matrix. So far we have only considered having one sensor, and hence one sensor measurement, but in general we may have *n* sensors and *n* measurements. $\\mathbf{x}$ denotes our state, and is bold to denote that it is a vector. For our scale example, it represents both the initial weight and initial weight gain rate, like so:\n", "\n", "$$\\mathbf{x} = \\begin{bmatrix}x \\\\ \\dot{x}\\end{bmatrix}$$\n", "\n", "Here I use Newton's notation of a dot over the x to denote velocity. More precisely, the dot implies the derivative of x with respect to time, which of course is the velocity. For a weight of 62 kg with a gain of 0.3 kg/day we have\n", "\n", "$$\\mathbf{x} = \\begin{bmatrix}62 \\\\ 0.3\\end{bmatrix}$$\n", "\n", "So, the algorithm is simple. The state is initialized with $\\mathbf{x_0}$, the initial estimate. We then enter a loop, predicting the state for time or step $k$ from the values from time (or step) $k-1$. We then get the measurement $z_k$ and choose some intermediate point between the measurements and prediction, creating the estimate $\\mathbf{x}_k$." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Exercise: Write Generic Algorithm" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In the example above, I explicitly coded this to solve the weighing problem that we've been discussing throughout the chapter. For example, the variables are named \"weight_scale\", \"gain\", and so on. I did this to make the algorithm easy to follow - you can easily see that we correctly implemented each step. But, that is code written for exactly one problem, and the algorithm is the same for any problem. So let's rewrite the code to be generic - to work with any problem. Use this function signature:\n", "\n", "```python\n", "def g_h_filter(data, x0, dx, g, h, dt):\n", " \"\"\"\n", " Performs g-h filter on 1 state variable with a fixed g and h.\n", "\n", " 'data' contains the data to be filtered.\n", " 'x0' is the initial value for our state variable\n", " 'dx' is the initial change rate for our state variable\n", " 'g' is the g-h's g scale factor\n", " 'h' is the g-h's h scale factor\n", " 'dt' is the length of the time step \n", " \"\"\"\n", "```\n", "\n", "Return the data as a NumPy array, not a list. Test it by passing in the same weight data as before, plot the results, and visually determine that it works." ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "scrolled": false }, "outputs": [], "source": [ "def g_h_filter(data, x0, dx, g, h, dt):\n", " pass # your solution here\n", "\n", "# uncomment to run the filter and plot the results\n", "#book_plots.plot_track([0, 11], [160, 172], label='Actual weight')\n", "#data = g_h_filter(data=weights, x0=160., dx=1., g=6./10, h=2./3, dt=1.)\n", "#plot_g_h_results(weights, data)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Solution and Discussion" ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "scrolled": false }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from kf_book.gh_internal import plot_g_h_results\n", "import matplotlib.pylab as pylab\n", "\n", "def g_h_filter(data, x0, dx, g, h, dt=1.):\n", " x_est = x0\n", " results = []\n", " for z in data:\n", " # prediction step\n", " x_pred = x_est + (dx*dt)\n", " dx = dx\n", "\n", " # update step\n", " residual = z - x_pred\n", " dx = dx + h * (residual) / dt\n", " x_est = x_pred + g * residual\n", " results.append(x_est)\n", " return np.array(results)\n", "\n", "book_plots.plot_track([0, 11], [160, 172], label='Actual weight')\n", "data = g_h_filter(data=weights, x0=160., dx=1., g=6./10, h=2./3, dt=1.)\n", "plot_g_h_results(weights, data)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This should have been straightforward. I just subtituted the variable names `x0`, `dx`, etc., for the variable names in the weight gain code. Nothing else needed to change." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Choice of $g$ and $h$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The g-h filter is not one filter - it is a classification for a family of filters. Eli Brookner in *Tracking and Kalman Filtering Made Easy* lists 11, and I am sure there are more. Not only that, but each type of filter has numerous subtypes. Each filter is differentiated by how $g$ and $h$ are chosen. So there is no 'one size fits all' advice that I can give here. Some filters set $g$ and $h$ as constants, others vary them dynamically. The Kalman filter varies them dynamically at each step. Some filters allow $g$ and $h$ to take any value within a range, others constrain one to be dependent on the other by some function $f(\\dot{}), \\mbox{where }g = f(h)$.\n", "\n", "The topic of this book is not the entire family of g-h filters; more importantly, we are interested in the *Bayesian* aspect of these filters, which I have not addressed yet. Therefore I will not cover selection of $g$ and $h$ in depth. *Tracking and Kalman Filtering Made Easy* is an excellent resource for that topic. If this strikes you as an odd position for me to take, recognize that the typical formulation of the Kalman filter does not use $g$ and $h$ at all. The Kalman filter is a g-h filter because it mathematically reduces to this algorithm. When we design the Kalman filter we use design criteria that can be mathematically reduced to $g$ and $h$, but the Kalman filter form is usually a much more powerful way to think about the problem. Don't worry if this is not too clear right now, it will clear once we develop the Kalman filter theory.\n", "\n", "It is worth seeing how varying $g$ and $h$ affects the results, so we will work through some examples. This will give us strong insight into the fundamental strengths and limitations of this type of filter, and help us understand the behavior of the rather more sophisticated Kalman filter." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Exercise: create measurement function" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now let's write a function that generates noisy data for us. In this book I model a noisy signal as the signal plus [white noise](https://en.wikipedia.org/wiki/White_noise). We've not yet covered the statistics to fully understand the definition of white noise. In essence, think of it as data that randomly varies higher and lower than the signal with no pattern. We say that it is a serially uncorrelated random variable with zero mean and finite variance. If you don't follow that, you will by the end of the *Gaussians* chapter. You may not be successful at this exercise if you have no knowledge of statistics. If so, just read the solution and discussion.\n", "\n", "White noise can be generated by `numpy.random.randn()`. We want a function that we call with the starting value, the amount of change per step, the number of steps, and the amount of noise we want to add. It should return a list of the data. Test it by creating 30 points, filtering it with `g_h_filter()`, and plot the results with `plot_g_h_results()`." ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "scrolled": false }, "outputs": [], "source": [ "# your code here" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Solution" ] }, { "cell_type": "code", "execution_count": 24, "metadata": { "scrolled": false }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from numpy.random import randn\n", "def gen_data(x0, dx, count, noise_factor):\n", " return [x0 + dx*i + randn()*noise_factor for i in range(count)]\n", "\n", "measurements = gen_data(0, 1, 30, 1)\n", "data = g_h_filter(data=measurements, x0=0., dx=1., dt=1., g=.2, h=0.02)\n", "plot_g_h_results(measurements, data)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Discussion\n", "\n", "`randn()` returns random numbers centered around 0 - it is just as likely to be greater than zero as under zero. It varies by *one standard deviation* - don't worry if you don't know what that means. I've plotted 3000 calls to `randn()` - you can see that the values are centered around zero and mostly range from a bit under -1 to a bit more than +1, though occasionally they are much larger." ] }, { "cell_type": "code", "execution_count": 25, "metadata": { "scrolled": false }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot([randn() for _ in range(3000)], lw=1);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Exercise: Bad Initial Conditions" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now write code that uses `gen_data` and `g_h_filter` to filter 100 data points that starts at 5, has a derivative of 2, a noise scaling factor of 10, and uses g=0.2 and h=0.02. Set your initial guess for x to be 100." ] }, { "cell_type": "code", "execution_count": 26, "metadata": { "scrolled": false }, "outputs": [], "source": [ "# your code here" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Solution and Discussion" ] }, { "cell_type": "code", "execution_count": 27, "metadata": { "scrolled": false }, "outputs": [ { "data": { "image/png": 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Jux8gP0VR1G8CDAZDofsU9U2ByWRSywobXlDSegu2KX+9+b+Fyl+voijY2tpalBmNxruqt6hjzV9vwWPNfw4LqzfvWAt7n0pab0V5b4o71pycHAwGQ6Fj9m/13hSst+Af17z3prDXvFW9+Y/1dt/zkp7DwvbP36aCijuH2dnZmEymQm/kv51zWFh783537rTeihKHFbWPyDvGgh/EpI8wr7c0+ojC6pU+4s7OYV5/e/LkSbKysqSPkM8Ral0VuY+oWrWqWfJvTX1EQkICM2bMAHI/ww8bNoy3334bvV7PZ599xvLlywHUpFWn0zF8+HCCg4M5deoUn332GUlJSVy4cIH58+er96DmuZ0+okmTJrz11lvMnTsXk8nE2rVrWbt2rdk+vr6+fPjhh6Slpd3yc0SrVq345ZdfOHv2LEeOHCEnJ4f69evTp08f4uLiMBgMGAwGoqKi+Pbbbzlz5gz29vbUqVOHdu3a4eDgQNOmTQkLC+Pnn3/mp1WriMxxJTugPTnuuV/m6LQaejWrzqvtH6CWZ1f++KMJer2egIAAmjdvzsyZM9VzPWLECJ5++mkg9wvEd999lzNnzrBixQrS0tLYvn07Xbt2Vd9XW52W6h6OVPdwRJNoi6LY4OTkZPEl1KVLl4h1a8nXnp4kJSXx66+/MnToUEaNGoVer2f+/Pn8+uuv6usOGDCg0Pi4l+44cf3ggw+YMWMGM2fONJvaOe9bl8KuliYlJaHRaNRvzby8vNDr9WRkZJh9e5q3bcFkuMiDsLGx6PQ0Go3acRd2c7uNjU2hHTvk3hidV1ZYB1PSegu2KX+9hf3S2draoihKofXqdLq7qjf//0XVW/BY85/DwurNO9bC/uCUtN6K8t4Ud6x5x1ncObyTeo1GY6Flt6o3b99b1Xu357C4Yy2ouGO1s7PDaDTek3NoMplu+/emIsah9BGW9VaU90b6CMt6pY+QPqJgvdJH/Lf7iB9++EG9X7N///68++676qiMb775hvj4eDZv3qxuP3/+fF5//XUAnn32WZ588knatGmDwWDgp59+Yu7cuWZtuN0+4uOPP8bd3Z05c+aoVz7ztG7dmhUrVlCzZk3OnDlTbB9ha2tL7969eeGFF9SyrKwsEhISMBqNzJ49m2XLlll8GeLh4cG0adNo2bIlDg4ONHi8Ow7XHyA9KiX3PGuhd7MqvNGpPv6eubmQ0WhURye4uuZOypQ3WgUgODjY4liffvppVqxYAcDVq1extbW9oz7C2dmZcePGqVdwV6xYodab38yZM3FzcytyNuV7RrkDU6dOVQBl6tSpFmU5OTmKo6Oj8sorr1iUdenSRalTp47688qVKxVA2b9/v9l2cXFxCqDMnDnTog6j0aikpKSY/TMajXdyGEIIIYQQQohSMGLECAVQAOXff/+1KP/xxx/Vcnt7eyUrK8timx49eqjbnD59ulTalZKSoixevFh55513lOnTpysHDhwolXrzjB07Vm1zYf9sbGyUNb/vUF5beUSpOeE3peaE35SgSVuUWZtPKVfTMkv0GmPGjFHrW7NmjUX5nDlz1PL58+ff9TEtXbpUcXJysjgWOzs75dNPP1W3K+u87LavuE6fPp2pU6cyadIkpkyZYlFuY2NDjx49WL9+PR999JH6TUFUVBR//fUXb775prpt165dcXBwYPny5ep00wDLly9Ho9GU+UxVQgghhBBCiNuX/572vHuB88v/nE6nK/SqX/65FAobwnwn3N3dGTFiRKnUVdCFCxf47LPPgNxjeueddxg0aBCJiYnMnj2bLTt249KmH+N3XQdtJhoN9HvQn3HBdfFxs1wbtihdu3Zl/vz5QO7Vzi5duqj35F++fFktA9R7Ye/G8OHDefbZZ1mxYgUHDhxAURRatGjBkCFDLO6tL0u3tY7rp59+yv/+9z+6du1aaNL68MMPA7mTpbRq1YoWLVrwzjvvoNfref/990lKSuL48eNmBzxz5kwmT57MxIkTCQ4O5tChQ0yaNIkhQ4awePFii9eQdVyFNbt48aI6OVPBCTmEqKgkboU1krgV1sia43bNmjX0798fgI4dO7J161Y1OU1PT6dly5bqhGcA69ev55lnnlF/vnLlCgEBAWRkZODi4sLVq1ctbiWsaCZOnMjs2bMBmDZtGpMnTwYgx2hixb+XmL7+MIpd7oR8TX3tmD2gNfWruhVVXZFMJhMNGzZUz5+3tzd9+/ZFr9fz888/qxNpdenShT/++KMUjqzk7SrLvOy2Etf27duze/fuIsvzV3XkyBEmTJjAv//+i42NDR07duSTTz6xmIEQ4PPPP2fhwoVcunSJKlWqqOu4FjaGXRJXYc1CQkLui/XZxH+LxK2wRhK3whpZc9xmZ2dTq1YtdSbjpk2bMnToUPR6PUuXLrWYUdfFxYXJkyerkzN98MEHnDt3DoBXX31VXSe1Inv66afZtGkTkHsfqp9/DbadusJHf5zlYkLuPMHZCZEk//UNX70/mqFDh9zxa504cYIOHTqoMyIXVKtWLf7++2+qV69+x69xuyp04loRSOIqrJk1/0ES/10St8IaSdwKa2Ttcbt9+3a6detW5IzEbm5uNG7cmH379hVZR7Vq1Th06NAt10atKHr37s2GDRvQufkwbuFa9kRnE5eqB8DbxY7AzLOs/nAMKCZWrlzJoEGD7ur1Lly4wHvvvcf69evVma8dHR15/vnnmT59Or6+vnd9TLdDEtdiSOIqrFn++zUKm+1NiIpI4lZYI4lbYY3uh7jdu3cvY8aM4dixY2bPt2/fngULFlC7dm1eeuklfvrpJ4t9mzZtytq1ay3WcK2IsgxGxsxZxoYTV3Go1QyNJjcX8XCy5fnWNenXpBJtWjYnNjYWjUZDeHi4xbKId+ratWucPn0arVZL48aNzdboLUuSuBZDElchhBBCCCEqLkVROHLkCCEhIWi1Wlq3bm2xbui5c+dYuXIlly9fxs3NjR49etC+fftCl+6pSM5dvc7qQ9GsPxpDcsbNK8uZEUepaYxlWHALUpMS+fLLL4mOjgbgqaee4rfffiuvJltIT09n5cqVbN68mevXr+Pv78/gwYPp2LHjbZ1/SVyLIYmrEEIIIYQQoiwl3sji7bUn2HEmXn2uipsD9eyS+HHGKAypVwvdz9fXl3/++afCTLa1d+9enn32Wa5du2ZR1q5dO9atW4eXl1eJ6irrvOy2l8MRQgghhBBCiP+KgxFJjPrpKFfTsrDRaniivg8DWtXg8bqV0Wk1PF1by/jx44mIiDDbr3PnzixatKjCJK2hoaE8+eSTpKenF1q+e/duunfvzp49ewqdJLe8yRVXIcpQcnIyJpMJrVZLpUqVyrs5QpSIxK2wRhK3whpJ3N476VkGHG11aLW3MxRW4es9F/nkz7MYTQoBlZ358rkHqVfFtZBtTezcuZMzZ85gb29P27ZtCQoKKs1DuGt9+/Zl7dq1AHTo0IHZs2dTr149tmzZwtixY7l6Nfeq8erVq+nXr1+x9clQ4WJI4iqsmbXPFij+myRuhTWSuBXWSOL23lixP5Lpm07h42bP0Da16NfSH3enW19RTE7PZtzPIez8/6HBzzSvzoxejXC2t84Bq4mJifj6+mI0GvHx8SEiIsJsndytW7fStWtXAIKDg9m6dWuxdcpQYSGEEEIIIUS5iY2NJT4+Hi8vL/z9/cu7OXcs22Dig01hrDwQBUBMciYzN59m7rZz9G5RnRceqUUdX8urp0ejknlj5VFiU/XY2WiZ9nRD+rfyr/ATR93KpUuX1Fmre/ToYZa0Qm6y6u7uTmpqqrqebkUjiasQZah69erqECAhrIXErbBGErfCGpV33G7evJkPP/yQv//+W32uVatWjB8/nr59+5ZLm4qTk5NDZGQkiqJQs2ZN7OzsgNzJlF5deZSDEUloNPC/4Hp4u9jx7b5LnLlynZUHolh5IIq2dbx54ZFadKjng0YDy/6OYPaWMxhMCrW9nVk4qAUNqrmV81GWXEJCAosXL2bFihXExMTg7u5Ojx491KupgDokOL/r16+TkZEBgIODQ5m193bIUGEhhBBCCCH+4+bNm8dbb71VZPnkyZOZNm1aGbbo1lJTU/noo49YsmSJOkOuh4cHw4YNo89LYxj/aziXUzJxsbdh/oBmPFHfF8hdqmf/xSSW/xPBtlNXMf1/JlTTywn/Sk78fSEBgKeaVGV278a4OlS8SYqKcvz4cbp27VpoYqrVanF1dSU1NRWtVsv+/ftp1aqVWv7uu+/y4YcfAvDqq6/y5ZdfFvt6co9rMSRxFUIIIYQQovTs37+fNm3aqD8HBQXx2GOPcejQIUJCQtTnN2/ezJNPPlkeTTRz7do1OnToQFhYmEWZY902+HT/H9jaU8vLiaVDWxLoYzkcGCA6KYMV+yNZdTCKNL0BADudlsnd6/P8wzWtamhwcnIyDRo04MqVKwBoNBoCAwOJjo5Gr9dbbG9vb89zzz1HUFAQmzdvZteuXep+J06coFGjRsW+piSuxZDEVQghhBBCiNIzcOBAVq1aBcA777zDrFmz0Gg0KIrCxx9/zIQJE4CST9pzr/Xo0YPffvsNABsbG7p06YLOxoa/k11xbTMAAPvkCA7MG4mHk12x9WVkG9hw7DIHLibxUtvaNPHzuKftvxc++eQTxo8fD8BDDz3Ejz/+SEBAAKmpqUyYMIGvv/4ayL0qnZKSUmQ9c+bM4e233y7Ra0riWgxJXIUQQgghhCg9Li4upKen4+npSWxsLPb29mqZyWSidu3aREVFodFoSE9Px9HRsdReOzUjB1cHmxIvU3Pu3Dnq1asHgI+PD3v27MG/dgDj1oSwJTT3amPa4V9I3rmMgwfMh8Pez5o3b87x48cBOHPmjHqOAIxGI3Xq1FHXmR05ciQ//vgjN27cULcJDAxkypQpPP/88yV+TZlVWIj7mExzL6yRxK2wRhK3whqVR9yaTCbS09MBeOCBB8ySVsi9NzIoKIioqCgURSm1xFVRFBbsvMDc7eeo5u7IM82r07tFdR6o7HLL/TZt2qQ+fnHsRH6PhHUb9nA5JRNbnYZgzyS+3LEEgI0bN/5nEtfY2Fggd4Kv/EkrgE6no3379mri+sYbb/DJJ5+wZ88erl+/jr+/P23atKnwFwIlcRVCCCGEEOI/SqvVUrVqVeLi4ggJCeHKlStUqVJFLU9NTeXff/8FwNnZGQ+Pux9GazCamLQxlFWHogG4nJLJgr8usOCvC7So4UHvFn70aFKt0LVW41IycG31DM4N2vFTaiDsvACAt4s9Xz3fAsOVc+RNK5SamnrXbbUWlSpVIj4+nitXrhAfH4+Pj49Zef57lT08PHB1deWpp54q62belYqdVgtxn3FycsLZ2dli7SwhKjKJW2GNJG6FNSqvuB08eDCQu7RM//79CQ8PByA6OppBgwapw0EHDRqEjc3dXfdKzzLw0veHWXUoGq0GpvZowIJBzelQrzJaDRyNSmHSxlBazdrO6yuPsvPMVZLSs1l1MIqBi/ezNqc5nh2HY18lEI1iomOQD/MHNGPP2+1pWcuTbdu2qa9VrVq1u2qrNenZsyeQOyx49OjRZGVlAblXthctWsTRo0eB3CHFfn5+5dbOuyH3uAohhBBCCPEfFhMTQ5MmTUhOTlafq1atGnFxceSlCk5OThw9etRiGOrtiL+u58Xlhwi9nIaDrZYvBragcwNfs/JfjsWy7mgMZ65cL7Ke7MunuB76FznhB1iy8DMGDRqERqPhl19+YfDgwaSnp6PRaLh48SK1atW64/Zak8jISIKCgtQZhH19fWnXrh2nTp0iNDRU3W7FihW3dR/rrcjkTMWQxFUIIYQQQojStX//frp3705iYqJFmaurK+vXr6dTp053XP+F+OsM/eYQl1My8XK2Y9kLrWjmX/iwY0VRCItNY93RGH45HktSejb1fF3p2bwaPZpUY+709/jss8/U7T09PdHpdOp6rgBDhw5l+fLld9xea7Rhwwb69+9PTk5OoeVjxoxh3rx5pbbMjySuxZDEVQghhBBCiNKXkJDAsmXL+Omnn4iPj8fT05O+ffsycuRIqlatesf1HoxIYsT3h0nNzKG2tzPLh7WippdzifbNMZpITs/Gx81zPPHKAAAgAElEQVTh5nM5OQwZMkRdwqegbt26sXbt2lKd/dhaHDlyhNmzZ7NhwwaMRiMArVu35s0336Rfv36lujatJK7FkMRVCCGEEEII6/DbiVjeWh1CttFEixoeLB3aCk/n4tdWLY6iKPzxxx8sWrSIAwcOoCgKLVq0YOTIkfTq1es/nxtcv36d+Ph43NzcqFy58j15DUlciyGJq7BmUVFRGAwGbGxsqFGjRnk3R4gSkbgV1kjiVlij+y1ul+69yIzfTwPQpaEv8wc0x8FWV86tEqWlrPMyyfaEKEPJyckkJSWZTX4gREUncSuskcStsEb3U9x+tTtcTVpfeKQWXz73oCSt4q7IOq5CCCGEEEKIUvPtvghmbzkDwP+C6/J6h8BSvbdS/DfJUGEhylBWVhaKoqDRaLC3ty/v5ghRIhK3whpJ3AprdC/jVlEUdu3axbJlyzhz5gx2dna0a9eOkSNHUrt27VJ7nR8PRPHuhpMAjO4YyFvBd758jqjY5B7XYkjiKoQQQgghRMllZGQwcOBAfv31V4syGxsb5s2bxxtvvHHXr7PuSAz/WxuCosDIxx9g4pNBcqX1Pib3uAohhBBCCCFKzdChQwtNWgEMBgOjRo0qcmmZktoUEsv4/09ah7apKUmrKHWSuAohhBBCCHGfOnLkCGvXrgVyr4Z99913ZGVlceXKFUaNGqVuN2nSJEwm0x29xp9hVxi7+jgmBQa08mdKj4aStIpSJ4mrEGUoLS2N1NRU0tLSyrspQpSYxK2wRhK3whrdi7j97rvv1MezZ89myJAh2NnZ4evry/z582nfvj0A4eHh/P3337dd/66z8bzx4zGMJoXezasz85nGaLWStIrSJ4mrEGUoIiKC8+fPExERUd5NEaLEJG6FNZK4FdbobuPWZDIRGRlJeHg4er0egIsXL6rlvXr1Mtteo9HwzDPPqD/n37Yk/rmQwMsrjpBtNPFU46p81KcJOklaxT0iy+EIIYQQQghhxfR6PfPnz2fRokVERkYC4OLiwuDBg82G7EZGRlKtWjWzffO2B3B2dr7l6+QYTcSmZBKdlEn4tRvM3nKGLIOJzg18+WxAM2x0ck1M3Dsyq7AQZejKlSsYjUZ0Oh1VqlQp7+YIUSISt8IaSdwKa3QncZuenk7Xrl2LHObr6uqqfnYODg5m06ZN2NnZAXDhwgVatmxJamoqtra2REdH4+vrS5bByLZTV7l4LZ3opAyikjKISc4kLjUTU4HMoV3dyiwe8iD2Nro7P3BhlWQ5nGJI4iqEEEIIIUSuV199la+++grIHfrbvn17PDw82Lp1KxkZGQBotVp14qXatWvz7LPPkpiYyKpVq8jMzARg8ODBfP/991xN0zNyxRFColMKfT17Gy1+lRzx93SiSXV3XusQiIOtJK3/RZK4FkMSVyGEEEIIISAxMRE/Pz/0ej1OTk7s3LmT1q1bAxAfH0/nzp05ceIEAHZ2dmRnZxdaT8OGDdmzZw/R6VpGrjjM1bQs3B1t6dLQF/9KTvh7OuHv6Yh/JSe8XeyJiopk586dZGZmEhAQQKdOnbCxkTsQ/2vKOi+TCBNCCCGEEMIK/fnnn+okTC+99JKatAL4+Pgwc+ZMevToAeQOE87KymLbtm3qNs7OzgwdOpQZM2awJzKD8WtPkG0wUcfHhaVDW1LTy/ye19jYWJ4Z/CqbNm0i/7UvPz8/Zs6cyZAhQ+7l4Yr/OElchRBCCCGEsEIpKTeH8zZu3NiiPP9zdnZ2bNq0icjISM6ePYu9vT3NmzfH2cWVT/48y6Jd4QA8EeTDZwOa4epga1bX1atXeeyxxwqd8TgmJoahQ4eSkpLC6NGjS+vwyoTRaGTz5s2sX7+epKQkqlSpwqBBg3j88cdlLdoKRhJXIcpQWFgYOTk52Nra0rBhw/JujhAlInErrJHErbBGtxu3+WcI3rFjBy+99JJZ+Y4dO9THVatWBaBmzZrUrFkTgOv6HEZ+f5gdZ+IBeK19AOOC6xW6pM3bb7+tJq2+vr68+uqrVK9enfXr17NlyxYAxo0bR8+ePdX6K7pz587Rs2dPzpw5Y/b84sWLefTRR1m3bh2+vr7l1DpRkNwYKkQZMhgM6j8hrIXErbBGErfCGt1u3Hbp0gUvLy8AVq1axYIFC8jOzkZRFHbt2sXEiRPVbZ9//nmzfS8lpPPMl/+w40w89jZa5g9oxttdgwpNWhMSEli1ahUA7u7uHD16lClTpvDSSy+xefNm9SqrwWBg8eLFd3TsZe3q1at07NjRImnNs2/fPoKDg9UJrkT5k8RViDJkb2+v/hPCWkjcCmskcSus0e3GrYODA2+//bb686hRo/D19aVGjRp06NCB+PjcK6lPPPGE2f2v+y4k0HPhPi7E38DXzZ41L7ehZ7PqRb7O4cOH1Ymdnn/+eYu1YPO3Yd++fSVqe3n7+OOPuXz5MgANGjTg119/JSYmhpUrV1K9eu65OHHiBMuXLy/HVor8ZKiwEGUoKCiovJsgxG2TuBXWSOJWWKM7idvx48cTFRXFwoULgdz7XvPf+/rQQw+xZs0aNBoNcamZfPrnOdYdjUFRoJm/B4sHP4iPm8MtXyP/FWA3NzeLcnd3d/VxTk7ObR9DWTMYDHz77bdA7r2/f/75p5qsDho0iLp169KqVSsAlixZwmuvvVZubRU3yRVXIYQQQghRKuLi4liyZAkfffQR33//vVkCJe4NjUbDggUL2LlzJ3369MHHx4dKlSrx6KOP8u2337J3717snN349M+zdPhkF2uP5Cat/Vv6s2rkw8UmrQD169dXH69evdpiWZ3vvvtOfdygQYPSOzhyl1zJzMykNFfwjI+PJykpCYAOHTqoSWueli1bUrduXQBOnTpVaq8r7o5ccRVCCCGEEHflxo0bjB49mhUrVphdnXNycuL1119n5syZ2Nra3qIGUZzz58+zceNGkpOTqVKlCn369DEbstuhQwc6dOhgto/BaGL14WjmbTtHwo3cZLNVrUq8260+zWtUKvFrBwQE0LFjR3bu3MnFixfp2rUrkyZNws/Pj3Xr1jFt2jR125EjR97lkebauXMnn332GX/88Qc5OTl4eXkxePBgxo4de9eTP9nZ2amPk5OTLcqNRiOpqakW24rypVFK8+uLMlDWC90KIYQQQoii6fV6OnXqdMt7G/v168eqVatkeZE7kJSUxPDhw9m4caPZ8zqdjmHDhvHFF1/g4GB+1VRRFP46G8+szWe4EH8DgFpeTrzzZH26NPS9o/fhyJEjPPbYY+q6sYUZPHgw33///W3XXdD06dN5//33Cy1zd3dn8+bNPPLII3dcv6IoNGzYkNOnTwO5sy937NhRLV+2bJk6Q3O3bt34/fff7/i17mdlnZdJ4ipEGYqNjcVoNKLT6SwmNhCiopK4FdZI4rbszJ07l3HjxgHg4uLCG2+8QfPmzdm9ezdLlixR73lcv349zzzzTHk29Z5JSUnhxo0beHt7WySRt6Ng3Kanp9O2bVuOHTtW5D5PPvkkmzZtQqfTARB6OZVZm0/zT3giAJWcbBnzRB0Gta6Jnc3dfV7etWsXAwcO5MqVKxZlL730EgsXLrzrK5Rr166lb9++6s9VqlQhMDCQQ4cOkZWVBYCXlxdnz55VZ1S+EwsXLuSNN94Acq+qDhs2jBYtWrB7925++ukndWjy77//Trdu3e7iiO5fkrgWQxJXYc1CQkLU9dmaNm1a3s0RokQkboU1krgtG4qiULduXS5cuADA/v37zWavXb16NQMGDACgU6dObNu2rVzaWZSTJ09y4sQJtFotDz30EAEBASXeV1EU1q1bx7x58/jnn3+A3FmB+/Xrx4QJE+5o/eCCcTtr1izee+89IDdZGz9+PM2bN2fPnj3MnTuXzMxMAH788UeatOvGZ9vPs+3UVQDsbLQMe7QWr7UPxN2x9IZpZ2VlsXbtWrZt20ZmZiYBAQEMGzaMOnXqlEr9rVq14vDhwwDMmDGDCRMmYGNjw7Vr1+jXrx+7du0CYM6cOWazGd+unJwcevTowdatW4vcZvjw4SxZskRGChRBEtdiSOIqrJl8kBLWSOJWWCOJ27IRHx+Pr68vAI888ojFcGGTyYS/vz+xsbE4OTmRnp5eHs20cODAAcaOHcv+/fvNnu/SpQuff/65OjFPURRF4c0332T+/PmFljs6OrJx40aCg4NL1B6DwcD27dvZu3cvtra2tGnThuDgYGrVqkVUVBQajYbjx4/TpEkTdZ9Nmzbx9NNPY1u5FgE9R5PpldtmjQZ6NavOW53r4u/pVKLXryguXbpE7dq1AWjWrBlHjx41SxrPnz+vvjcPPvigmuDeKb1ez8SJE1myZIlZbHp6evLWW28xceJEyTFuoazzMpmcSYgyFBgYiKIo8s2dsCoSt8IaSdyWDaPRqD52crJMkrRaLY6Ojhbblqfdu3fTtWvXQu/V3Lp1K23atOHvv/82m0m3oO+//94saQ0KCqJevXrs2bOH5ORkMjMzefbZZzl//jxVqlS5ZXu+/fZbJk+erK4pCrnnrVu3bkRFRQHQtm1bs6QVoE7LdtQYOA1NjRZkkpuw9mhSjdFP1CHQx6Ukp6LCuXbtmvq4TZs2Fr+/derUwdvbm4SEBBISEu769RwcHJg3bx5Tp05l27ZtJCcn4+vrS+fOndW4FRWHJK5ClCFnZ+fyboIQt03iVlgjiduy4ePjg4+PD/Hx8ezatYuIiAj1ihnA3r17CQ8PB7BIvMpDTk4Ozz//vJq01q9fnyFDhqDX6/nmm2+Ijo5WJ0PKG/5bkKIofPLJJ+rPixYt4uWXX0aj0ZCens7AgQPZtGkTN27cYPHixUVOMgTwySefMH78eIvnTSYTv/32m/pz3v2rAOevXuezHefZfDIOTY0WAOjP7WPPoonU9XW9vRNSwXh7e6uP9+/fb/Hl04ULF9SE9W7uby3I3d2dPn36lFp94t6Qa99CCCGEEOKO6HQ6dfZVg8HAE088wYoVKwgNDWXhwoX07t1b3ba0lkm5G7/++isxMTEAPP7444SEhPDOO+8wdepUQkND1fs0//33X44ePVpoHeHh4YSGhgLw8MMP88orr6jJlbOzMwsWLFC33bBhQ5FtuXDhAhMmTFB/7tatG4sXL+a9996zSMr+ORXJlNX/0GfRPwR/toffT8ShKJB+dh+xy14n4Opuq09aAWrVqsWDDz4IwLFjx5g9e7a6vFJCQoJZDPXr169c2ijKj1xxFUIIIYQQd2zcuHGsWrWKixcvEhERwZAhQyy2ad26daHPl7W8iX0Axo8fb7a2rJubG6NGjWL06NHqti1atLCoI/+6n82aNbMor1GjhjqctbA1QvN8/fXXmEwmAP73v//x8ccfq2XPvfAijz7zIprqjXEMaImNqzffHbtZVy2bFEJWfkjKpTAAXpk7vbhDtwoajYYJEyaoSem7777LggULCAwM5ODBg+qVck9PT4YPH16eTRXlQBJXIcpQRkaGOuylsHuBhKiIJG6FNZK4LTuenp789ddf9O3bl4MHD1qUd+vWjR9++OGul0kpDXnLqQBUrlzZojz/c/m3zS//Pau7d++2GM4aFhamDmfNm7gqPT2d06dPoygK9erVw83Njb1796r7jPvfeEIvp7L37BX2nE/kcFQKbk/dHEJsytajjwwh8+JhMsMPE3n95r2gHTt2ZODAgSU+BxVd3759mTJlCh988AGQu0RQbGysWu7u7s6vv/5qNqxY/DdI4ipEGTp//rzMcimsjsStsEYSt2WrRo0a7N+/n7///pv169erk9wMHDiw0KuS5SUoKEh9vGrVKrOle/Key1OvXr1C6/D39+fRRx9l3759nD59mvHjxzNt2jScnJyIiIhg2LBh6rY9evTgtddeY8WKFdy4cQPInRCo/8BBpNl64fbQszjUaETnRce4rjeYvY6zkkHcke1kXjxMA29bjh46YFau0WgYOHAgixcvxsbm/vpIP3XqVNq2bcu8efPYunUrBoOBSpUqMWTIEMaOHUutWrXKu4miHMhyOEKUIVmeQVgjiVthjSRu7385OTmkpaXh6upa4qu58fHx+Pn5kZOTg1ar5d1332X48OHo9Xrmz5/PV199BeReKY2Kiiqy3s2bN/PUU0+pP7u6ulKjRg1Onz6tDv/18fHB0dGRyMhIdC6e2Hr5Y18tCHv/hthXr4/WznzWWld7G+p62dDI24bmvraMHjaA6OhoNBoNkZGRpKSksGHDBvVLgf79+5tNhHW/MhgM6PV6nJ2dZZbwCkbWcS2GJK7CmsXExGA0GtHpdPj5+ZV3c4QoEYlbYY0kbu9fx44d49NPP2Xt2rVkZWVha2vL008/zVtvvcUjjzxS7P5Tpkxh2rRpt9zm22+/5YUXXrjlNl988QVjxozh5kdpDTo3b2y9a+BZqwFufnVJMTli6+WH1sFyeRpjZhpZ0WHoo0PRXLvApDeG0ebh1kRHRzN//nwOHMi9wvrkk0+yefPmYo9LiLImiWsxJHEVQgghhPhvWrVqFYMHD1Znms1Po9GoS9Pcislk4r333mPOnDkU/BhsZ2fH3Llzef3110vUnkOHj/DB4jUcT3VEW72RxVXUPDoN1PRypn5VNxpUtuOz997gwuE9wK0/hjs5ObFv374KNdxaiDySuBZDElchhBBCiP+e0NBQmjdvriatnp6etGzZkuPHjxMfHw/kJq9///13ia68RkREsHTpUkJCQtBqtbRp04YXX3xRnVDpVqISM/j5SDRrj8QQl6pXn7fVaXjA2wVDcgxHdv5OTmIUY18cwPtvvoK9zc21WJcvX67eC9uwYUPCwsIsXqNq1aqsXr2atm3bFtseIcpDWedl99ed3EIIIYQQ4r40f/58NWkdMmQIX331FY6OjmRnZzN+/Hg+//xzFEVh7ty5PPLII2RmZnLs2DEyMzMJCAiwmNCndu3azJw5s8Svr88x8kfoFVYfiubfi4nq8x5OtjzTvDrPtvCjXhVXbHVa3n//fXbu+xGANvUnmCWtYD7xU/v27VmzZg3Lly/n4sWLODs7ExwcTJ8+fbC3t7/d0yTEfUsSVyGEEEIIUeGtXbsWABcXFxYuXIijY+6wXDs7Oz7++GNWrVpFfHw8GzduZPz48SxbtsxsHdUOHTowffp0Hn30UQDSswysOhTN9/9e4mqaHmc7G5ztbXCy0+Fin/vY2V6Hs50NRkVh+6mrpP3/zL8aDTwW6E3/Vv50buBrkZjWrFlTfbxlyxa6d+9uVv7777+rj2vUqEGDBg346KOPSu9kCXEfkqHCQpShs2fPqrNcFjXNvhAVjcStsEYSt/cXk8mETpebHD700EPqxEX5Pfnkk/zxxx+3rMfW1palK3/mims9ftgfqSaiJVXdw5G+Lf3o86AffpWKXh84JSWFatWqkZmZiU6nY968eYwYMQKtVssPP/zAa6+9RlZWFjqdjsjISKpXrw5I3ArrIkOFhbiP6fV6cnJyMBqN5d0UIUpM4lZYo/slbg0GA5s3b+bEiRNotVoefvhh2rdv/5/7wl6r1eLl5UViYiKhoaGkpqbi7u6uluv1eg4dOmS2j62tLb1798bPz49ffvmFS8l63B7qzeSDChpdOAAPeDvzUtsHeCzQm4wcA+lZBtKzjKRnGbiRZSAj28iNLANZBhOtalXi0QBvtNril2Tx8PDgrbfeYubMmRiNRkaPHs348ePRaDTo9TfviX355ZfVpDXvOO6HuBXiXpDEVYgypNPp1OUZhLAWErfCGt0Pcbt+/XpGjx7N5cuXzZ6vV68eS5YsqbCT9mQZjIReTqOyiz1+lRxLlOiVRP/+/fnyyy/JyMhg+PDhLFu2DHd3d9LT0xk9ejSJiTfvO7Wzs2P//v00a9aMgxFJJDbsR87Za2p5FZsMPhjYls71fUutfQV98MEHJCYmqmvDZmVlmZUPGDCAefPmmT13P8StEPfKbQ8Vvn79OtOnT+f48eMcO3aMhIQEpkyZwtSpU822e+GFF/juu+8s9q9Xrx5nzpwxey4nJ4dZs2bx7bffEhcXR+3atXn99dcZNWqUxf4yVFgIIYQQ97s1a9YwYMAAi+Va8tjb27N9+3Yee+yxMm7ZrV2Iv8HrK49y9mruZzUHWy0PeLtQx9eFOj4uBPq4EOjjSk0vJ2x1t/fZ7dy5czRt2lS9Yunk5ETjxo05derUzc+GWh12Pg/wWK8h1G/bjWNRKVxOyQRAA6Sf+5e0g+t4LKg627dvL7XjvpV///2XRYsWceDAARRFoUWLFowcOZIOHTqg0dybpFmIslDhhwonJiayePFimjZtSq9evVi6dGmR2zo6OrJz506L5wp67bXXWLFiBdOnT6dVq1Zs3bqVMWPGcP36dd59993bbaIQQgghhNXKyMjglVdeUZPW4OBgXnzxRfR6PQsXLuTQoUNkZWXx8ssvExoaWmGSn3VHYpi0MZTMHCPOdjpyTAr6HBOn4tI4FZdmtq2tTkPDau4Me7QWTzWuik0Jkti6deuyZs0a+vXrh16vJyMjg0Mnz2JfvSEeLYJw8KuPrW8gWlt7woHwE3EA2NloebaFH0NbV6e+X+4kSen+HqV+/EVp06YNbdq0KbPXE+J+dduJa82aNUlOTkaj0ZCQkHDLxDXvXoxbCQsLY9myZcycOZPx48cDudOCJyYmMmPGDF555RU8PT1vt5lCCCGEEFZpzZo16my4vXr1Yv369WpyOmjQINq0acORI0c4deoUe/bsoV27duXZXDKyDbz/Sxhrj8QA8GigF/P6N8PL2Z7opAwuxN/gfPwNzsdf50L8DS7E3yAj28jx6BTGrDrOJ3+eZUTbB+j7oD+OdrceItujRw/+PXyM9xdv4GiKHTZVgyy2MWam4XDjCqMGdefBmpVo6u+Bi70Na9asUbepXbt2iY4tNjaW1atXExMTg7u7O927d6dFixa3cXaEEKXlthPX0v5Wb+PGjSiKoi7CnGfYsGEsWbKEP/74g0GDBpXqawohhBBCVFQHDx5UH48aNcrss5etrS2vvPIKI0aMULctz8T13NXrvL7yKOfjb6DVwNhOdXm9QyC6/79vtJa3M7W8nenUwFfdx2RSuJySycZjl1n+zyWikzJ5/5cwPtt+nmGP1GJwm5p4ONmZvY7RpPBveCLrjsawJTQOvWMTbBxzl6Wp6+NKi5oeNPf3YNZbLxHy9zYATmpP0XfaNBxtNGzcuNHsFrSCnzsLys7OZuzYsSxevNhsoqQpU6bQrl07fvjhB/z8/O76/AkhSu6eTs6UmZlJlSpVuHbtGlWrVqVXr15MmzbN7ApqaGgolStXpkqVKmb7NmnSRC0vTlhYGDVr1sTNzU19LisrS72XtlKlStSoUcNsn/Pnz5ORkQFA06ZNzcoSEhLUiRBq1KhBpUqV1DKj0ai2ydXVlQceeMBs34iICNLScofDNGzYEBubm6c4JSWFyMhIAKpVq0blypXN9j1x4gSKouDo6EjdunXNyqKjo0lKSgJy7xN2cHBQy27cuEF4eO7seD4+PlStWtVs31OnTqlTqzdo0MCsLC4ujvj4eAACAgJwcXFRy/R6PWfPngXA09MTf39/s33PnTtHZmYmGo1Gfb/yXLt2jdjYWCD3Kr2Hx80hOQaDgbCwMADc3NwsvvW8ePGiOl6+UaNGZhMUJCcnExUVBUD16tXx9vY22zckJATIve+lTp06ZmVRUVHqN9hBQUFmi3qnpaUREREBgK+vr0U8hoWFYTAYsLe3JyjI/Nvd2NhYrl3LnfAhMDAQZ2dntSwjI4Pz588D4OXlhZ2dnTrpgo+PD2fPnkWv16PT6WjUqJFZvfHx8cTF5Q5zqlWrltnsidnZ2Zw+fRoAd3d3i0XVw8PDuXHjBgCNGzc2u9cgMTGRmJjcb8X9/Pzw8vJSy0wmEydPngRy18kLCAgwq/fSpUukpqYCUL9+fezsbn6wSE1N5dKlSwBUrVoVHx8fs31DQ0MxGo04ODhYTPEfExOjTqpRp04dnJxuLjGQnp7OhQsXAKhcuTLVqlUz2/fMmTNkZWVhY2NDw4YNzcquXLnC1atXgdxv16WPuLM+4sqVKyiKQuXKlc36AekjbiqtPqLgB2HpI3LdSR8RHx+P0WgkISEBk8lkVX1EXrxAbqKaJ6+PuHLlivqcyWRSH99tH5GUlER8fDyenp40atRI7SsK6yMUReHnwzFM/uUkWQaFSo5aPn22MR0b3YzhovoIrVaDv6cTXfwVWnfzZkdEBr+HZxGTnMmn286xaHc4vRp707G6hmyjwpEkW7acSiA29eZsvH5uNnSo7USPRr481PjmsbpMHEv37ttRFIWlS5eydOlSbGxsMBhuLnvTsmVLvL29SUhIKLSPUBSFiRMnFrm0zu7du2nbti0HDx5U++nS6iO8vLzQ6XTq5wTpI26SzxG5KuLniLJyzxLXpk2b0rRpU/WXaPfu3cybN48dO3Zw6NAhNUFKTEwsdCiws7MzdnZ2ZjPEFcVgMFhMXqAoCjk5OWp5YfvklRdkMpnUsvx/EPKUtN6Cbcpfb2HTnOfk5KAoitkfqTxGo/Gu6i3qWPPXW/BY85/DwurNO9bCrsKXtN6K8t4Ud6w5OTkYDIZCbza/1XtTsN64uDj1j7+Pj4/63hT2mreqN/+x3u57XtJzWNj++dtUUHHnMDs722wdvqLqvZP3Ju93507rrShxWFH7iLx9EhISzJJT6SPM6y2NPqKweqWPuLNzmNff5t/uTust6zgMDAxUf84/e7DJZCIrK4v169er5UFBQXz11Vf88MMPXLx4ERcXFzp06MDkyZPNkpxbHWtkZCQTJkxgx44dapt0Oh1PP/00s2fPtoiX9CwDkzaGsuFY7gfvpr52jG7lTssabmb1lqSP0CpGgms7MP6ZNvx+Mo6vdl/kdFwaPx65yqqjYMrXVDcHG55uVo2eTapA4iU0Gg3uDub9S5GTYxQAACAASURBVLdu3Zg1axbvv/9+oee5TZs2zJgxA6PRWOR7s2/fPjVptbe3Z9y4cQQHB7Nnzx4WLlzI1atXuXTpErNmzVJnBS6tPuLatWsYjUb1c4L0ETfJ5wjLeivK54iycs8S1zfffNPs586dO9O8eXP69OnDkiVLzMpvNfy4JEOTbWxsLLbTaDTqm5L/m4j8+xT2pkHuvbl5ZYV1MCWtt2Cb8tdb2C+dra0tiqIUWq9Op7urevP/X1S9BY81/zksrN68Yy3sPSppvRXlvSnuWPOOs7hzeCf1FjXt/a3qzdv3VvXe7Tks7lgLKu5Y864234tzmHc15U7rrShxWFH7iKJIH2Fer/QRFbOP0Gg02NjYWFUf0b17dz7//HMyMjJYsWIFJpOJ4cOHk5CQwPz58zl27BiQe7XrzTffVK/05Tl//jzff/89K1eupHfv3rc81vDwcDp16mR2FRdyP5xu2LCR3QdDeHfWXHCtzLWMLJadOsaRyGQup2Si1cCIh6vRtaYGrUZzV58jbHRaejarztNNq7HnfAJfbDvN4ejraDXwyAOVGNi6Nk/U98HBVpc7KuN6bJHnsF+/fjRr1ox169Zx4sQJ9Ho9AQEBvPjiizz88MPqla6i3puNGzeqPy9btoznnnsOyL3i1qpVK3r27El2djbffvstH374IQ4ODqXWRxRMGKSPuEk+R1jWW1E+R5SV214OJ7+EhAQqV65c6HI4hTGZTLi5ufHUU0+xevVqAAYOHMiOHTvU4ap50tPTcXFxYeLEicyaNcusDlkOR1ir1NRUFEXJ/ZY435AdISoyiVthjaw9br/++mteeeWVIss1Gg0+Pj7qMEbIHY6bnJysJj+2trbs3buX1q1bF1nPY489xr59+0BnQ+Wgh2gS3I/rOnfirueAsxdaW/tC9/NxsWPBcw/yUO17N4FmVGIGjnY6KrsW3oZ7pXr16sTGxuLh4UFCQoLFB/Vnn31Wvep96tQp6tevX2qvbe1xK/5byjovK/NsT1EUs4Np3Lgx165ds/imL298fMHx+kJYM3d3dzw8POSPkbAqErfCGll73L788st8/fXXuLq6WpT5+PgwYsQINWlt2LAhhw8fVu897N+/P5A7LDD/l//5mUwK63Yc4GSODz59P6Dm2DU4dX+XC3aBXNVVRutRjf9j787jY7reB45/ZrLLKiEJEYJEbF9qrX2ptZba2krUUku11FJfVO206KZV7Vdbu9qKCqpqLRqKWouQhAiRxZJFQvZkMvf3x/xym5FECBLheb9efXUy58y5506Om3nmnvMcrZkFij6LzIRbVLHOoELaNZKOrCVm6zxOfdKTkW90ZPXq1XlOdXwSKjqVKvKgFf6926QoSp7TRx/jnk+BSvq4FeJpeqrJme63efNmUlJSjLbI6dGjB9OmTeOnn35i0qRJ6vOrVq3CysqKzp07F2UXhRBCCCGeCcOHD8fX15eNGzdy7tw5tFotTZs2pVevXuq6V4B169apyV/Kly/P6tWr+euvv4iKimLHjh3ExcVhamVHWFwyQTfv8deVWI6GxnEnOYPSbYeq7ZSxsaCFpxMNKpWmkpM1547sZ8yw/qDPItbcnIyMDKP+nT59mkGDBrF//35Wrlz53Mx+a9iwIVFRUdy9e5eff/6ZAQMGqGVhYWHs3LkTAAcHh1yJc4QQT0+hAtddu3aRnJys3hoODAxk8+bNgGFRfExMDP369cPHxwdPT080Gg3+/v5888031KpVi2HDhqlt1apVi6FDhzJz5kxMTExo1KgRe/fuZcmSJcyZM0f2cBVCCCHEC8vW1tboc1O27OzZ5cuXV4PW2KR0rsYkExaXTJWeY0kPj8G0dDlaLzxBUkbuu6KmZHHvymnSrp/ly/HDGN63ndHaNpMYd9AbErFkB622tra0bduWsLAwzp8/D8Dq1at56aWXcuU3Kanee+89fv31VwCGDRtGQEAAHTt2JDAwkC+++IL09HQAhgwZYpR9XAjxdBVqjauHh4eaavl+165dw97enqFDh/LPP/9w+/ZtsrKyqFSpEr169WLKlCm5pj9kZmYyd+5cVq5cya1bt/Dw8GDUqFFG+21lkzWuoiTL+W11zhTwQjzLZNyKkuh5H7deXl5cuXIFc2s7ftjxN7uC4zkZFv/A1zjbWlC5jDUvV3GihWcZAvx/Y9jgtwFDELZ8+XKj+hMmTOCrr75Sf27Tpg1bt27FwcEBRVHYtGkTPj4+ALi7u3P16tU8k76UNIqiqHe68+Pp6cnff/9ttBXMk/C8j1vxfCnquOyxkjMVBwlcRUl27tw5dTuc+/f0EuJZJeNWlETP87jN0isMmPAJ+0ISsarWBK2ZYb9FjQbcS5fCIjORM4f2kBl/k3K2pvz0v/kc+G0Te3fuIDExkYoVKzJgwADatm1LxYoV1f06P/74Y0aPHo2pqSlLlixh0qRJRttxBAQE5Mo90rVrV3Xq7N9///3ARFAlSWZmJuPHj+fHH3/MtaVJu3btWL16da79QJ+E53nciudPUcdlJf9rMSGEEEKIEiglJYWff/6Zffv2kZqaiqenJ4MHD843MeWV6CT8zkSy9UwUt8wbYF3L8HxmXASWN8/SupIVoUfP8MehQ+pr3h49mk5N/sO9e/fU586cOcO2bduoX78+o0eP5tNPPwVgxowZzJgxI89ja7VaatWqlev5evXqqYFrQkJCod6HZ5GZmRnffvstU6dOZdOmTURFRWFnZ0e3bt2oU6dOcXdPiBeSBK5CFCF7e/t891sT4lkl41aURM/6uN23bx++vr7ExcUZPf/111/Tv39/li5diqWl4U5q4I17zPrtIieu3VHr2VuZUc3iHr99O5X0m5cBuHrfMbp27cqSJUvUNZn3O3PmDDqdjgkTJjB//vw867i7uxMREYFer+fIkSO0aNHCqPzPP/9UH7u4uBR43oGBgfzwww8cOnQInU5HjRo1eOedd+jYsWOee40WNxcXlzyXrj0tz/q4FaI4yVRhIYQQQogidPz4cVq1apUrS29Offv2ZflPa1i4/wrL/7pGll7BRKuhTbWy9GlQgXY1nLEwNeHAgQPMmTOHgwcPqq/18vJi3Lhx7Ny5kx07dgDQvXt3vvrqK6pWrcqePXt477331ARPq1evpn79+ixevJjjx4+jKAr169dn+PDhXLhwgUGDBgGGhJqbN2+mevXqpKen8+WXXzJ9+nQAatasyYULFx4YfM6dO5fp06fnuZ1M165d2bhxI9bW1o/+hgohioWscS2ABK5CCCGEeJri4uL46aefjO4KDhs2DG9v70dqJzk5md27dxMdHY2TkxOdOnXC3t6eNm3a4O/vD0CnTp2YMWMGFSpUwM/Pj2nTppGSkoJV1UbUHDCb2FRDNuAu/3FlerealLO3yvNYkZGR3LhxAzs7O6pVq0ZcXBwuLi4oioKbmxuhoaFGGXD9/f1p06YNAG3btuXAgQN5tpuWlkadOnUICQlRn6tRowY3b940mhq8bt06+vXrl+97sXTpUoYPH67+rNVqMTMzM7ob/Prrr/PLL7/k24YQ4tkigWsBJHAVQgghxNOydu1a3n33XVJSUnKVvf/++3zzzTcFZs7V6XR8/PHHLFy40GhtaalSpXjzzTdZtWoVYMhMGxgYiJmZmVpn/qKlfP7HNay9mwPg5mDFnJ61aVvd+ZHO49SpUzRq1AiAd955hyVLlhiVK4qCk5MT8fHxeHh4cO3atXzbCgkJoUOHDvnuKDF79ux818aCIdGRh4cHN27cAGDq1KlMnDgRa2trNm/ezPDhw9XPdmfPnpWkREKUEEUdl0m0J4QQQggB/PrrrwwYMCDPoBVg0aJFBe5VqigKAwcO5JNPPjEKWsGQjCk7aAXDdODsoDVLr7DyyDVW3nbH2rs5ij4Lm4ij7Ptvq0cOWsEQJGfLnhKcU3x8vNq/nHXz4uXlxdmzZ/niiy+oUaMGFhYWODo60rdvX44cOfLAoBVg//79atDavXt35syZg729Paampvj4+DB37ly17k8//fTQ5yiEeLFI4CpEEQoNDSU4OJjQ0NDi7ooQD03GrSiJHnXc6vV6Jk6cqP781ltvcf78ecLDw5k3b54aYC5atOiBbW7ZsoWff/4ZABMTEwYPHszy5ct57733cu3LeefOHbL0Cn+FxNLr+yPM/i2Q5Iws0qOCublqLGWijlDKvHB5NL29vXF3dwdgz549RkmUFEVh1qxZZGVlAdChQ4cC23NwcGDixIkEBgaSlpZGXFwcGzZsoFmzZgW+NiwsTH3crVu3XOXdu3dXH+d3V/dFIddbIfInWYWFKEJJSUnq/mxClBQybkVJ9Kjj9vDhw+o6zpYtW7JmzRo10dDkyZPR6XTMmDEDRVFYuXIlc+bMybOdRYsWqY/XrFmDr68vAEOGDKFnz5507twZAPPy3mwJ0/L3nL3cSTHslWpraUql+H/4fe0UQKFVqwGFOncwBM3vv/8+H330EWDYe7RXr15Ur16dXbt2cebMGbXeyJEjC32ch2FjY6M+vnr1/tzHGAVpOeu+iOR6K0T+JHAVQgghxAsvODhYfezj45MrO66vr686JTZn3ZwUReGvv/4CoGLFivj4+BiVe9RtRrXXJ5Dk6I1Z6XIA3EnRYU4mNa1Tif9rPb/vNWQBNjMzM0pmVBj//e9/+fPPP9m9ezd6vR4/P79cdf73v/9RrVq1xzpOQdq1a4epqSk6nY7FixczZMgQ9ZjJycnMnDlTrZsd2AshxP0kcBWiCP3nP/8p7i4I8chk3IqS6FHHbc6Mu7GxsbnKY2Ji8qybk6Io6HSGu6f29vZoNBquxyWz4/xNtp+9waXbiVC1DWaAPiON1JC/SQ7yJ/XaP4TodUZtLVy4kAoVKjzSOdzPzMyMX3/9lXnz5vH9998bnUO9evWYNWsWr7322mMd42GUK1eON998k/Xr15OQkECdOnXo3bs3pUuXxs/Pj9u3bwPg5uZG7969n3p/nmVyvRUif5JVWAghhBAvvKtXr1K1alUAypcvz9mzZylbtiwAWVlZ9O7dm+3btwOwePHifO+G1qxZk8tRcVhXb0nDPsMJvZOplplqIfHycZIC/bFOCKVNi2Zs2bJFXWsKUKVKFebNm0ffvn2f6Pmlp6dz6tQpEhMTcXd3p2bNmg/cc/VJu3PnDq1bt+bChQt5ltva2rJ3716aNGlSZH0SQjwe2Q6nABK4CiGEEOJp6Nq1Kzt37gTAxcWFoUOHUrp0adatW8fZs2cBQ5KiiIiIXGsxoxJS2Xn+Jsv2nuG27t+9VjUo1HezoYppPFu/m0loUAAA06ZN45NPPiEqKgp/f39SU1OpWrUqrVq1em4/0yQkJDB79mxWrFihZjQ2MTHhtddeY86cOdSsWbOYeyiEeBQSuBZAAlchhBBCPA3Xr1+nWbNm6tYt9zMxMcHPz49OXboRfieFa7HJXIlOYn/Qbc6EJ/xbUdGTFh5ActBhUkKOoU+5a9SOh4cHp06dwsnJ6WmezjMrJSWFgIAAMjMz8fLywsXFpbi7JIQoBAlcCyCBqyjJ4uLi0Ov1aLXaF/YDiyh5ZNyKkqiw4/b69euMHTuW7du3o7G0xcKtOqal3XD1rE3Vl5pyT2/Bjbup3P/pSaOBxh6OdKtTjnpltQwf6MOxY8dytV+3bl22bt1K5cqVH/cUn3s6nQ6tVvtCfcaT660oSYo6LpPkTEIUocjISDXNvfxBEiWFjFvxJGRmZvLnn38SGRmJvb09bdu2pXTp0k/teIUdt5UqVeLb5evx2HmOHYFx6BTDOtAMIOiOHkgFwESfQWpMOJlxUaRHBWGTcIWaA314feCHWFlZceTIEQ4dOsSGDRuIiYnB0dGR119/nfbt279QgdijunfvHj/88APLli3jypUrmJiY0KpVK0aNGkWvXr2KdF1ucZDrrRD5k8BVCCGEEE+Noij8+OOPzJkzx2gKrpWVFUOHDuXzzz+nVKlSxdjDf12IusuP/qHsDLiJXgHQ4Olsg7erLZWdrPEoY01aTDij3+5Lwu1Io9cmArNmzWLv3r3s3bsXa2trWrduTevWrYvjVEqk8PBw2rdvr+6nC4bEWAcPHuTgwYMMHDiQFStWYGJiUoy9FEIUF5kqLEQRkilAoiSScSsex9SpU5k3b16+5S1atGDv3r1YWVnlW+dhpaSksHbtWlauXMnVq1extLSkbdu2jB8/Pt9tRhRF4WhoHD/6h3I45N9tcNp4l+W91lV5ubKjepcvPT0dT09PIiMNQaujoyPdunUjNjZW3SsVYMSIEXz//fePfT4vEr1eT4MGDdQkWBqNhpdeeok7d+5w/fp1td4nn3zCtGnTiqubT51cb0VJImtcCyCBqxBCCPHs0ev1xMXFodVqcXQ0BHsnTpzg5ZdfVut0796djh07EhgYyMqVK0lLSwNgzpw5TJ069bGOHxERQceOHQkODgY0mJVxR2NmCYAGGDduHL6+PmjQkD3bNCwumSWHrnI+0pA8yUSroVudcrzbqio1y9vlOsa6devo378/AE2aNGHPnj3Y2RnqnT59mpYtW5KamoqVlRVRUVFPdSr082bXrl106dIFMGwJtGPHDmrUqIGiKKxbt46BAweiKApOTk5ERkZiaWlZzD0WQkjgWgAJXIUQQohnR0JCAgsWLGDp0qXcvHkTAE9PT0aMGMGZM2dYt24dAJ9++ilD3v8A/0sxVClrTeatEJo1bYqiKLi5uXH9+vVCTwFNT8+g/itdiUi3wrJiHSzca2NiZfvQr7c009K3oTvDWlbB3TH/acu+vr5s2LABgAMHDtC2bVuj8pEjR/LDDz8A4OfnR+/evQtxNi+mwYMHs2rVKgC2bNlCr169jMr79evHzz//DMCOHTvo2rVrUXdRCHEfSc4khBBCiBLhxo0btG3blsuXLxs9f+XKFcaPH4+FhQUA9p4NuO7WjmafHkBnWDxKOXtL6r79MUF7fyYqKoirV6/i5eX1UMdVFIXQmCSOhcZx7Goc/kE3SW75AY456libm+BQyoz4+Pj/3zNUg5m5Oa6urv/fBliYaenxkhuDmlbCycaiwOPm/IBWo0aNXOU59yHN3qdUPJzo6Gj1cfPmzXOVN2/eXA1cY2JiiqxfQohnhwSuQhSh7PVPgMwSECWGjFuRF0VR8PHxUYPW7OyvaWlpHDt2DI25FWY12+JYryvmZSux66IhMKlRzo6IOyncvJsGzvVw7V8PXWIcC/+6yQATRxp6OGKi1ajHuHk3jZDoJEJuJ3IlOkl9fC9Nl6M3GvQZaaRHBdK/Q2P6d2xMrXK2mJpoURSFJk2acOrUKQB+Cwigdu3ahTrnChUqqI/37NnDoEGDjMp3796dZ11RsJzrOU+cOEG3bt2Myk+cOJFn3eeNXG+FyJ9MFRaiCJ07d05Nc1+3bt3i7o4QD0XGrcjL8ePHadKkCQDu7u7s378fLy8vLt1K5KtfT7DnUjwac0PCJX1GGm0qWzOpT1NqlbcnLTOLPeeuM2LeEkwr1UdrYa22W9bWgsYejkQmpBIanURSui7P41uYamlQqTRNqzixZM4ELhzaiRY9Op0OjUZjNG43bdqkJojavXs3nTp1KtQ5//XXX7Rs2dLQz7JlWbNmDR07diQlJYUFCxYwffp0ANzc3AgLC8PUVO4PPKzt27fTo0cPAKpXr86uXbvw8PBAURS2b99Onz59yMrKwt7enhs3bjwzmaifNLneipJEpgoLIYQQ4om5fPkyly5dwtzcnMaNGz+xhEF+fn7q4+kzZhKSZsO0xcc4fu0OABpzKzLjIkj8ZydJFw6wx96a9vZfUqZTJy5evMinU6Zw8/hxMDGl29DxVGvny77AW8QkpvN7wE21bVOthsplrPF0tkGbeJsLR//gyunDpN+9RXyd2ri/+y5Oyl3Q69D///l6e3sb9fXixYvq4+xkSoXRvHlz2rVrx/79+4mJiaFz5844OTmRnJysJpoCmDZtmgStj6hr167UrFmTwMBAgoOD8fLyolmzZsTGxhIYGKjWGzVq1HMbtAohHkzuuApRhEJDQ9VvUqtWrVrc3RHioci4LZmOHTvGRx99xKFDh9TnLC0teeutt/j888/V6ZZpaWns37+f27dv4+TkRPv27bG2ts6vWdWwYcNYuf4XbOp2wrPzEOJSswBDZt6ONV2orItg0uBeBbQCDg4OnDx5Ek9PTzJ0eo6ExhJ8M5FKTqXwcrbBo4w1GkXPoEGDWL9+fZ5t1KhRg6CgIAC6dOnC5s2buXHjBpmZmRw9epRhw4ahKAqurq6Eh4djZmZWYL/yEx8fT7du3Th69Gie5dOnT2f27NnqFjri4V25coV27doRHh6eZ3mfPn3YsGHDc/2lgFxvRUkiWYULIIGrEEII8WC7d++mR48eZGRk5Fnu7e2Nv78/y5YtY8GCBcTFxall9vb2jBw5ktmzZ+cb4J2PTOCDRVsJzSyNxtRQp4yNOb6NK9Lv5YqUs7di3LhxfPPNN+rxLl26lKsdd3d3tm7dSoMGDR54PhMmTOCrr75Sf3ZwcMDExMSo3+bm5ur5Ojs706lTJ8LCwjh8+LBaZ+7cuUyZMgVFUbhy5Qrx8fG4urpSsWLFBx7/fjqdDj8/P5YtW0ZQUBAWFha0bt2a999/v8BzEQ8WGxvLwoULWbZsGbdu3QKgUaNGjBo1irfeeqvQmaeFEE+eBK4FkMBVCCGEyF9SUhIVK1YkPj4egGrVqvHGG28QFxfH2rVrSUpKAgx7ZV69ejXfdnr27MnmzZvVQCEtM4s9F2+x6mgY/4QnqPXSb1xGf+kAP38+kVfatEJRFLZu3Yqvry8ZGRlYWFgQGRlJUFAQa9asISoqCjs7O7p3706fPn3UzMP5iY2NpUKFCqSnp2NmZsayZcvo168fWq2WrVu3MnDgQFJSUgDDHeWcU3bvP59Nmzaxfv165s+fz4ULF9SyZs2aMXny5FwJgUTxURSFu3fvYm5uLlODhXhGSeBaAAlchRBCiPwtXryY9957DzBMm922bZt65zQsLIz69eurQS2ARqPBx8eHFi1acPLkSdauXYtOpwONljmLVuFYoxlHQ2M5ce0O6TpDxlMzEw3d6pQnwO879v+yQm3Ly8uL9PR0o6meY8aMYeHChU/kfD744AMWLFhgVP7xxx8zc+ZMAEaPHs3t27fZsmWL4Rz+v0+jRo1ixIgRTJw48YF9+eabbxg7dmyh+yqEEC8SSc4khBBCiEL7448/1MczZ840mu7r4eHB0KFDmT9/vvrcypUrGTRoEIqi0OXNQTg368OK349gWakOS6/bwfVgtW6ZUib0bViBt1t6UdbWgoROX/FqRCB///03ACEhIUZ96dmzJ19++eVjnU9UVJT6uH379rnKO3bsqAauer2ejRs3kpCQQEREBNbW1nh4eKDVavHz8zMKWps0aUK9evU4dOiQmrzpgw8+oHnz5jRs2PCx+iyEEOLJk9uUQhShsLAwQkNDCQsLK+6uCPHQZNyWLKmpqepjNze3XOU5n3N0dKRbn77870AILb84SJv5f7IxVIN19RaYWNmhT0+hkuk9NP9s5sayEZye+SpTe9Zn7LuDCQwMxMHBAX9/f5YsWULDhg0xMzPDwsKCNm3asHHjRvz8/DA3N3+s87G3t1cf58wumy3nlN/sug4ODtja2qIoinr3N3u9LcD333/PsWPH+P777wkICGDixIlq2bfffvtY/RXiccj1Voj8yVRhIYqQ7M8mSiIZtyXL2LFj1eDr22+/ZfTo0WqZoii0bt2aw4cPY+rginv7QZhXb01a5r9TgOtXLM3lw78ReHArGTcvg6LP8zjW1tbs3LmTVq1aPdXzuXTpEtWrVwcMSZf++usvvLy8AIiIiKBVq1bqh/zjx4/TuHFjwHjcenh44ODgABgSRQUFBRll/U1NTcXV1ZV79+7h6OholPRJiKIk11tRkhR1XCbRnhBCCPEcGTx4sPp48uTJLF26lJSUFMLDw3nvvfc4cTWGMj0nU374EvRVW5KWqadWeTu+6fsS52Z25MtX3biw8UsybgQbBa1t2rThrbfeUrfRSU5Opnfv3ty7d++pno+3tzddu3YFIDo6mlq1avHaa6/Ru3dvqlWrpgatzZo1o1GjRnm2kZ2QKru9+7eqsbKyUjML3/8hTAghxLNB7rgKUYRybk3xuNPnhCgqMm5LHl9fXzZs2PDvExotVl4vY9e4N5ZuNdSnU0JPUir8KPMnvkvLlobkTB9++KG6JyqAVqtl7969tGvXDjAErD169GD//v0A/O9//+P9999/qucTHR1NmzZtjPqVU6VKlTh06JDRtjY5x62iKDg4OJCWloaDgwMRERHY2Nio5WFhYVStWhW9Xk+VKlUIDQ19eicjxAPI9VaUJHLHVYjnmLm5ufqfECWFjNuSZ8WKFbzxxhsAWHm+TPlhP+DcayqWbjVQdJnULnUPsz8+J2bzbK6f2Mcbb7yOq6sr3bt3zxUcvv7662rQCoYpwjn3VN2+fftTPx9nZ2eOHj3KpEmTKFOmjPq8vb09Y8eO5cSJE7n2Ys05bi0sLOjbty8ACQkJ+Pj4cP36dQAuXrxI37590esNd5cHDRr01M9HiPzI9VaI/MkdVyGEEKIY3Llzh4iICEqVKkXVqlWf+N+x4Jv3mLDuGBdiDdvCaDNTqW0Zz5xBHahTzYPIyEh69OjBmTNncr3Wzc1NzeY7e/ZsZsyYYVSemZmpfrBu0qQJx44de6J9f5DMzEyuXbuGoih4eHgUuA9stsDAQBo1aqTu+QpQpkwZYmNj1Z+dnZ25cOECZcuWfeL9FkKI541shyOEEEI8x86ePcsnn3zCr7/+SlZWFgBVqlRh1KhRjB49GlPTf/80JyUlcffuXRwdHbGysnqo9uOTM1jwx2XW/n0dvQLmplreaVmZkW08sbb4t+0KFSpw8uRJ9u3bx8aNG4mOjsbRDG7/5AAAIABJREFU0ZHXX38dFxcXmjRpAsC+fftyBa579+5VH+eVufhpMjMzo1q1ao/8upo1a7Jt2zb69OmjftDKGbSWK1eOnTt3StAqhBDPKLnjKkQRunv3LoqioNFojLZ4EOJZJuP2ydm7dy89evQgLS0tz/LXXnuNzZs34+/vz/z589m7dy+KomBqakqvXr348MMP891jNDNLz7q/r7PgjxDupmYC8GptV6Z0qYG7Y6lH6qeiKNSsWZPgYMMerlOmTGHy5MnY2Nhw7NgxfH191am227Zto0ePHo/UflHIb9zevn2bpUuX4ufnR3x8PK6urvTr149BgwbJ+BbFTq63oiQp6rhMAlchipCkuRcl0Ys2bu/du8etW7ewt7fHxcXlibUbFxdH1apVuXv3LgCurq507tyZ69evc/DgQbVep06d2LNnT55tmJqasmbNGnx8fIyePxwSw8e/BRISbcieW93Vlpnda9G0qlOh+7thwwZ8fX3Vny0tLSldujQ3b95Un6tXrx4nTpwwukv8rHjRxq14Psi4FSWJTBUWQgghisHJkyf59NNP2b59uzqFt2HDhvz3v//Fx8cn1xYqj2rlypVq0Nq1a1c2b96MpaUlYLgT27lzZxRFMQpaK1asyEsvvcSxY8eIiYlBp9MxcOBA6taty8VrN1jo9ydhWaUxcfUGwMpEz+QutXiraWVMtI/XXx8fH8LDw5k0aRIAaWlpRkFr7dq12bFjxzMZtAohhHj+yB1XIYpQdHQ0WVlZmJiY4OzsXNzdEeKhvAjj1s/PDx8fH3Q6XZ7lo0ePZuHChY8VvLZu3ZpDhw4BcOnSpVzrNHv16sW2bdvUn6dNm8asWbMwMTEhPT2dd999l3Xb91GqWlOc6rZDX/rfLLpKlo7EMzu4e+RnGtatxa5du3B0dCx0X3M6e/YsixYt4o8//iAlJQVPT0+GDBlCv379HnrdbXF4EcateP7IuBUliUwVLoAErkIIIZ6ksLAwqlevTnp6OmBI0tOmTRsuXrzI+fPn1XqrV69mwIABhT5O/fr1+eeff9Bqteh0ulxB8IQJE9RtZpydnblx4wZarZbgW4nsvnCLneejCIn5NyOuouhJjwxCifgH89sXibwcoJa1a9eOffv2PfZdYiGEECI/so+rEEIIUYR++OEHNWj19fUlLCyM9evXc/bsWRYvXqzW+/rrr3mc73qzs+/q9Xr2799vVKYoilGm3lq1a7MvKIZe3x/l1YWHWbg/xBC06rNIvXaGuN3/I3LRQKY3syZy/2rCg8/x559/qndo9u/fz/HjxwvdVyGEEOJZI3dchRBCvNC8vb25fPkyJiYm3LhxI9f0vIYNG3L69GkArl+/TsWKFfNqpkCbNm2ib9++gGH7m7Vr19K0aVPu3r3L7NmzWbBgAZiYYVOrLaWbvYnW3hUAcxMtrb3L0szdiuHdm6NLNqyT9fHx4eeffzY6xooVKxg6dCgA77//Pv/73/8K1VchhBCiIJKcSQghxAtFURROnjxJcHAwFhYWNG/enAoVKjzxY/j7+7NkyRLOnz+PVqulSZMmjBgxgoSEBMCQ5TevNWV16tRRA9fs5EqF0atXL+rUqcP58+e5evUqzZo1w9nZmYSEBDI1Zti9/Dq2DV/D1MawNtVUn8HgFlUZ3tYbJfUugwYNUoNWMEwHvl/O53ImUhJCCCFKOglchShCFy5cICMjA3Nzc2rXrl3c3RHioTzNcbt3714mTJhAQMC/6zO1Wi09e/bk22+/VafXPo6MjAwGDRrEhg0bjJ4PCAhg6dKlarAaFRVFcHAw1atXV+tkZWUZbVXj6ur60MfNntCUvc7UzMyM33//nc6dO3Px4kUA4lKysG32FrYvvYrWwrDXqu5eLPdObiXp/F7mLdKwydOToKAgMjMzc/X/fjmfK2l7QOr1evbt28fOnTtJTEzE3d2d/v374+XlVaj25HorSiIZt0LkT+bXClGEsrKy0Ov16lYbQpQET2vc/vLLL7z66qu5AjC9Xs+WLVto2rQpkZGRj32cMWPGGAWtZmZmmJiYqD9HR0erjwcOHEhISAgACQkJjBgxgrCwMMCwv2rZsmUfeKysrCzWrVtHixYtsLCwwNzcnEaNGrFs2TIyMjKoUKECJ0+e5Iely6ndbwpu7y3D/uU+aC1KUcnBjK/frMunzc1IPfs7SkYqKSkpnD9/Xg1abWxsMDc3B2Dp0qX8/fffRucxdepU9eeePXsW8h0rekFBQdSpU4fOnTvz7bffsnLlSj7++GOqVavGwIEDSU1NfeQ25XorSiIZt0LkT9a4ClGELl26pG4s7u3tXdzdEeKhPI1xm5CQgLu7O0lJSYBhHamPjw+xsbEsX76cmJgYAHr37o2fn1+hjxMWFkaVKlVQFAVLS0sWLVpE//79ycjIYNGiRUyePBlFUdBoNEaJl6pUqUJUVJSatEmr1XLgwAFat26d77HS0tLo3bs3u3btyrO8RYsW7Nixg0NhyczbGcTNu2kANPZwZESbqrTxLqvenQ0MDOTbb79ly5YtxMfH4+LiQr9+/Rg1ahSffvopP/74o9pumzZtKF26NHv27CElxZB12MvLi6CgIKMA/Vl1/fp1GjdubPQFwv26d+/Or7/++khZkuV6K0oiGbeiJJHtcAoggasQQpR83333HWPGjAHg9ddfZ+PGjep1/NatW9SpU4eYmBi0Wi1hYWG4u7sX6jhz585l2rRpAMyaNYuZM2calQ8aNIjVq1cDhqm1ea1hNTU1ZdmyZQwaNOiBx3r33XdZsmSJ+nPlypUxNTVV7+CalamEd79pJFqVA6BCaStmdKtJh5oujxSQJScn8+qrr3L48OE8y11cXDhw4AA1a9Z86DaL05AhQ1i5ciUAtWrVYubMmXh7e7Nr1y4++eQTkpOTAfj999/p0qVLcXZVCCFEDrIdjhBCiOeev7+/+njKlClGf+RcXV0ZNmwYYPijeOTIkUIfJ3uaLxju2t0v53OjRo3is88+o1atWjg4OFCxYkXef/99AgICCgxab968yYoVKwCwsrJix44dhIaGcvnyZX7fewDXV9+n3OBvSbQqh7mJhnHtq/HHf1vTsZbrI++1am1tzd69e/n888+pVKmS+ryNjQ0jR47k1KlTJSZovXfvnpoZ2d7eHn9/f9544w3q1KnDpEmTWLZsmVp36dKlxdVNIYQQzwBJziSEEKLIZU/BBShTpkyu8pxrSXPWfVQ2Njbq49DQUOrXr29UHhoaqj52dnZmzJgxTJo06ZGPs2XLFnQ6HQAffPABXbt2Ra9X8DsTyWfHdVjUeRWAlEtHefMlO8a2f7w7h5aWlnz44YdMmDCByMhIMjMzcXNzw9LS8rHaLWpXrlwhLc0wZbpHjx44OTkZlb/xxhu88847JCUlce7cueLoohBCiGeE3HEVQghR5HKu3bp/L1K9Xm+UTClnlt9H1blzZ/XxnDlz1K1vACIjI1m4cKH6c6dOnQp9nNu3b6uPm7VowW/nbtBj0REm/HKO2KQMytuYcHvjdGK2zSMlJqLQx7mfVqulYsWKVK1atcQFrYDRGtzs9bk5ZWRkqF8IlIT1ukIIIZ4eueMqRBGKjIwkKysLExOTJ75PpRBPy9MYt0OHDuWrr74CYPr06Wg0Gnx9fYmLi2PevHmcOHECgNq1a9O4ceNCH6dDhw7UqFGDoKAgzp8/j6enJ3369CEtLQ0/Pz91/WTnzp0fKxGKo6MjGvNS2NTtxEeH00lS/gHA2tyEMe28SA/YzbGwf9S6wsDb2xsHBwcSEhL47bffuHLlCp6enmr54sWL1TuyTZs2faS25XorSiIZt0LkT5IzCVGEzp07p2YLrFu3bnF3R4iH8rTG7fDhwx+4blGr1bJjxw5effXVxzrOhQsXaNOmDXFxcXmWV6lShcOHD1O+fPlCtR8Zn8LCXefZeDJC3YvVzkLDkJae9G9SiejwUNq3b8/NmzcBOHv2rPz7z2H8+PF8/fXXgGHa+JgxY9TkTD/99JOa7fno0aOPFLzK9VaURDJuRUlS1HGZ3HEVQghRLBYtWgTknXTH2tqa5cuXP3bQCoa7tidOnGDatGls3rxZ3RPV2tqaAQMG8PHHHxe4P2u2zMxMtm3bxs6dO7mZYUFi+UbcNHVFr4DWohQZseEkntzG9YsH2dS4IVvNzDh8+LAafHXo0EE+jN5n2rRp7Nq1i6CgIGJjY5kxY0auOqNHj37kO65CCCGeL3LHVYgilJKSou4ZWapUqeLujhAP5WmP28DAQJYvX05wcDAWFha0atWKQYMGUbp06Sd+rLi4OIKDg9FqtdSuXRtbW9uHfu2ZM2fo/fYIEmyrUMq7OebOldUym6RIZvm25Iv/Dubk/09zvl+tWrU4cOAAzs7Oj30ez5uYmBjeffddtm3bZrSfrp2dHZMmTWLy5MmPnH1ZrreiJJJxK0oS2ce1ABK4CiGEKCqKonD5dhJr/S+yav85TBz/XXOmZGWSHPgn907+SmZMGO3atWPbtm38+OOP/PDDD1y9ehUAd3d3hg8fztixYx8pUH4RXb16ld27d5OYmIi7uzs9evTA2tq6uLslhBAiDxK4FkACVyGEEE/bpVuJ7Dh/g50BNwmNSVafV7IysYi/hm+L6rzetBp/HdjLlClT1GzFW7dupWfPniiKwp07d1AUBScnp0e+WyiEEEI862SNqxBCCFFMdFl6Pt8dzNLD19TnzEw0JF4+QVLQYSziLhNw6SJ2dnYA/Md7BOXKlaNXr14ALFu2jJ49e6LRaHLtSSqEEEKIwpPAVYgilJycrK5dkelvoqR4Ucbt3ZRMRv18hsMhsQC0r+FCtzrlcEq/SaumswF44+231aA122uvvYadnR337t0jMDCwyPst8vaijFvxfJFxK0T+JHAVoghduXJF0tyLEudFGLdXohN5Z/VprsUmY2Vmwvw36tK1TjkAzp//dxud7CnBOaWmpqp7jZqZmRVNh0WBXoRxK54/Mm6FyN8jT0BOTEzkww8/pGPHjpQtWxaNRsOsWbPyrHvmzBnat2+PjY0NDg4O9O7dW01Wcb/vvvuO6tWrY2FhQeXKlZk9e7a6ZYEQQgihKIqacfNJOhB8m16LjnItNhk3Bys2j2iqBq0A1atXp0yZMgDs2LGDCxcuGL1+4cKFZGRkANCiRYsn2jchhBBCGDxy4BoXF8eSJUtIT0+nZ8+e+dYLDg6mTZs2ZGRksGnTJlasWMHly5dp2bIlMTExRnXnzp3L2LFj6d27N3v27GHkyJHMmzeP999//9HPSIhnWNmyZXFxcXnoPSOFeBYU97i9ePEiw4YNw87ODmtra6ytrenfvz+nT59+rHYVReH7P68w9KdTJKbraOzhyK+jmlOrvL1RPXNzc4YNGwaATqejWbNmTJgwgWXLltG7d2+mTp2q1h05cuRj9Uk8OcU9boUoDBm3QuTvkbMKZ1fXaDTExsZStmxZZs6cmeuu65tvvsnBgwcJDQ1V1wNdv34dLy8vxo0bx+effw4YAuEKFSowcOBAFi9erL5+3rx5TJs2jQsXLlCzZk31eckqLIQQL46tW7fi4+Oj3tHMSavVsnz5ct5+++1Hbjc1I4tJfufZfu4GAP1ersis7rUwN837b0liYiKtW7fmn3/+ybfNyZMnM2/evEfuixBCCFESFXVc9sitajSaAtP663Q6duzYQZ8+fYySWFSqVIm2bduydetW9bndu3eTlpbG4MGDjdoYPHgwiqKwbdu2R+2iEEKI50BwcLBR0Gpra0urVq0oXbo0YPiDOXToUE6cOPFI7d5ISOWNxUfZfu4GploNc3rWZl6v/+QbtGYf++DBgwwaNCjXOlYXFxe+++475s6d+4hnKIQQQoiH9VSSM4WGhpKamkqdOnVyldWpU4d9+/aRlpaGpaWlulboP//5j1G9cuXKUaZMmVxrifJy8eJFKlWqZBQkp6enExwcDEDp0qWpWLGi0WtCQkJISUkByLX4PTY2lqioKAAqVqyofkgCyMrKUvtka2tLlSpVjF577do17t27B0CtWrUwNf33LU5ISOD69esAlC9fPtc0kPPnz6MoClZWVlSrVs2oLCIigjt37gDg7e2NpaWlWpaUlERoaCgAzs7OlCtXzui1gYGB6kL/nHevAW7evEl0dDQAVatWxcbGRi1LS0vj0qVLADg6OuLu7m702suXL5OamopGo8n1u46JieHGDcOdjEqVKuHg4KCW6XQ6Ll68CICdnR2VK1c2eu3Vq1fVb29q166NiYmJWhYfH094eDgAbm5u6rqzbOfOnQOgVKlSeHl5GZWFh4cTHx8PoK6nznbv3j2uXTNsf+Hi4oKrq6vRay9evIhOp8PCwoLq1asbld24cUOd/u7p6WmUBTAlJYWQkBAAnJycqFChgtFrL126RFpaGiYmJtSuXduoLDo6mps3bwLg4eGBvf2/0xczMjIICgoCwN7eHg8PD6PXhoaGkpSUBBj+beX85isuLo7IyEgAKlSoYLRlh16vJyAgAAAbGxuqVq1q1G5YWBh3794FoEaNGpibm6tld+/eJSwsDDD8+3V2djZ67YULF8jKysLS0hJvb2+jssjISOLiDAlwvLy8KFWqlFqWnJzMlStXAMMUqvLlyxu9Njg4mPT0dExNTalVq5ZR2a1bt7h9+zYAlStXlmsEJesaMWfOHDVo9fHxYenSpdjY2BAYGMjMmTPZvHkzer2er776io0bNwIFXyM2/HGCz/6KIyFNj6O1Od+/VZ8mVQz/Bgq6RoSFhTFu3DjGjx/PuXPnSExMxN3dnY4dOxISEsL58+flGiHXCECuEdnkc8S/5HOEgVwjDJ63a0RReSqBa/bAcXR0zFXm6OiIoijEx8dTrlw54uLisLCwyDPlt6Ojo9rWg+h0ulzJOhRFUZM76XS6PF+TX/InvV6vlun1+lzlD9vu/X3K2W5WVlae7SqKkmdWyqysrMdqN79zzdnu/eea8z3Mq93sc83rDvzDtvus/G4KOtfMzEx0Ol2eUx8e9Lt5mHYzMzPzLHtQu9mvLajdvDzse5jX63P26X4FnWtGRgZ6vd7oA0Re7Rb2PczrPXrYdp+VcSjXCON29+3bB4C1tTWLFy9WPxCbmpoybtw49u/fT3x8PFu3biUjIwNzc/MH/m42nYpg2oEYdHqoXNqc1e80x93x3w83D3uNKFeuHP379zcql2tE7j7dT64Rxn16mHblGiGfI+Qa8S+5RuRu91m5RhSVp7odzoOmFOcse9h6+TE1Nc1VT6PRqL+UnN9E5HxNftsWaLVatSyvC8zDtnt/n3K2m9c/OjMzMxRFybNdExOTx2o35//za/f+c835HubVbva55vU7eth2n5XfTUHnmn2eBb2HBbUbHBysfmtdvXp1zMzMyMrKyvOYD2o357nm19/HfQ8LOtf7FfQempubk5WV9djvYV791ev1j/zv5lkch8/qNUKj0aAoChEREUbfRj/Na4SJiYn6rXytWrWMvuU2NTXF2tqamjVrcuTIETIzM7l37x5lypTJ83ejy9Lz6a5glv9luBvS1N2KyW3djILWnP3N7sP9fSqKa0Re7co1onDvYfb1NvuaK9cI+RyR3daz/Dni+vXr6PV69XOCXCP+JZ8jcrf7rFwjisojJ2fKKb/kTJcuXaJ69eosWrQoV4bFiRMn8tVXX5GSkoKlpSWTJ0/ms88+Izk52ei2Phhu53fo0IH169erz0lyJlGSnTt3Tv0QJfuziZKiuMato6Mj8fHxWFtbc+PGjVxTtNzd3YmJicHMzIykpCSjKWfZ7qZkMurnMxwOiQXgg/ZejHnFC6224C9FRckm11tREsm4FSXJM5+c6WFUrVoVKysrdY57TgEBAXh6eqrzprPXtt5f99atW8TGxuaary9ESWZqaqr+J0RJUVzj9o033gAM65NGjBhBcnIyYFg3N27cOHVNWM+ePfMMWq9EJ9Hz+yMcDonFysyEH96qzwftq0nQ+oKQ660oiWTcCpG/p/KvwtTUlO7du7Nlyxa++OILbG1tAcOi9oMHDzJu3Di1bufOnbG0tGTVqlW8/PLL6vOrVq1Co9E8cK9YIUqa+xf9C1ES5Ddu9Xo9e/bsYcuWLcTHx+Pq6oqvry/NmjV7qGUeBfnggw9YtWoVGRkZrF+/nh07dlC/fn3Onz+vJpDQarWMHz8+12sPXopmzPp/SEzX4eZgxdKBDalZ3i5XPfH8kuutKIlk3AqRv0IFrrt27SI5OVm9NRwYGMjmzZsB6NKlC6VKlWL27Nk0atSIbt268dFHH5GWlsaMGTMoU6aM0YcMR0dHpk2bxvTp03F0dKRjx46cPHmSWbNmMWzYsFzZ64QQQhS/0NBQevbsmSvz+6JFi2jdujW//PJLrmyGj6pGjRqsX7+efv36kZGRwb3kFP4OSwC7SlhYOYMugzmzZlC5Rl0S0zIpZW6KVgNLD1/l013BKAo08ijND/0bUMbGouADCiGEEOKZVag1rh4eHmqq5ftdu3ZNTal9+vRpJk2axLFjxzA1NeWVV15h/vz5uVJjA3z77bcsWrSIsLAwXF1dGTx4MFOnTs21qFnWuAohRPGKjo6mYcOGRERE5FvnpZde4ujRo1hZWT328c6dD2Dyj1sIoCImds4PrGtuqiVDZ8jQ6NPInY971H7g/qxCCCGEKJyijsseKzlTcZDAVQghiteHH37Il19+CRj2evv000+pV68e/v7+TJ48Wd038Pvvv2fEiBGFPo6iKPwRFM2Xe4K5fNuwn6CjtRnOtpakZmaRkpFFSrqOlMwscv4lM9VqmN6tJgObVnoiU5aFEEIIkZsErgWQwFWUZLdu3VLT1t+/ObkQz6qc47Zs2bK4uLgQFxeHubk5oaGhVKhQQa17/PhxmjRpAkC9evU4c+ZMoY554todPt8dzOnr8QDYWZoysq0ng5p6YGVunIpfURTSdXpDIJuhw9bCDPtSeW9BIF4ccr0VJZGMW1GSFHVcJinLhChCt2/fVtPcyx8kUVLkHLeKohAXFwdAmzZtjIJWgJdffhkvLy9CQkIIDAx85GMF3rjHl3uCOXjJkDHY0kzLkOaVebdV1XyDUY1Gg6WZCZZmJjha584uLF5Mcr0VJZGMWyHyJ4GrEEKIh5Zzi4a7d+/mKs/KylK/fc1v4/W8pGVmMWVrAFv/iUJRDNN9fRq7M+YVL5ztLB+/40IIIYQo0SRwFaIIVa5cGUVRZN2deOru3LnDwYMHSUxMxN3dndatWxd6X8Cc49bW1hZvb28uXbrE8ePH8ff3p3Xr1mrdtWvXcuvWLQBatGjxUO1nZukZtf4MfwRFA9C9bnnGd6iGRxnrQvVXCJDrrSiZZNwKkT9Z4yqEEM+RpKQkJk6cyKpVq0hLS1Ofd3d3Z+bMmQwdOvSxj/Hdd98xZswYACwtLRk6dCgNGjTgzz//ZO3atej1hqy+v/32G926dXtgW3q9woRfzrHlnygsTLWsfLsRzTzLPHYfhRBCCPF0SXKmAkjgKoQQeUtOTqZdu3YcP3483zqzZ89mxowZj3WcjIwMunTpwv79+/OtM2jQIFauXPnAuwaKovDJjiBWHLmGiVbDkgENaFfD5bH6JoQQQoiiUdRxmUR7QgjxnPjss8/UoLVUqVKMGjWK7777ji5duqh1Zs6cydmzZx/rOObm5vz222+MGjUq1z6tDg4OzJ49m+XLlxc41e37P0NZceQaAF++XkeCViGEEELkS+64ClGE0tPT1bUrFhYWxd0d8RzJyMjA3d2d6OhoTExMOHXqFC+99JJaPmvWLGbPng3AO++8w5IlSwpsMz09nV27dnH58mWsrKxo164dNWvWNKoTHx/P7t27iY+Px9XVlc6dO1OqVCmjOnq9nuvXr6PT6XB3d8fS0pJ1x68zdesFAGZ0q8mQFpUf9y0Qwohcb0VJJONWlCQyVbgAEriKkuzcuXNqmvu6desWd3fEcyQgIIA6deoA8Nprr/Hrr78alScmJlKmTBkyMjLw9vYmODg437YUReHHH39k1qxZREdHG5V169aNxYsXU758+QL7lJaWxjfffMMPP/xAeHg4ADY2NrR7eyLnrBugAKNf8WR8R+9HPNv8JSYmkpqaipOTEyYmJgW/QDy35HorSiIZt6IkkanCQggh8pWRkcGGDRvo2rUrdevWpVWrVnz55ZdGAWaZMrmTG1lbW2NpadhWJj09/YHHmDdvHiNHjswVtALs2LGDFi1acPv27Qe2kZycTPv27Zk8ebIatALoynjyj2UdFOBVLxv+26HaA9t5GHq9nrVr1/Lyyy9jZ2eHi4sLTk5OjB07loiIiMduXwghhBDFT+64ClGEwsPD0el0mJqaUrFixeLuTrFTFIWoqCgSExMpV64cDg4Oxd2lZ1p4eDhdunTh4sWLucpsbW1JSUkhKyuLMmXKcO3aNWxsbNTy33//Xc3w27lzZ3bt2pXnMS5dukSNGjXI/tPQp08fWrRoQUREBGvWrCEmJgaAIUOGsHz58nz7+t5777F48WIANBoNbdu2xczViyCXDmjMLUkOPoz9xS0EBwUWepseMPxNePvtt1mzZk2e5U5OTuzbt4969eoV+hiiZJLrrSiJZNyKkkSmChdAAlchSj5FUfjpp59YsGAB58+fB0Cr1dKjRw+mTJlCw4YNi7mHz56UlBQaNGhgNMXX1NQUnU6n/qzVatWtaJo3b87cuXPx9vZm165dfPjhh8TGxgKwefNm+vTpk+dxxo0bxzfffAPAlClTmDt3rloWFRVFjRo1SExMxNLSkhs3blC6dOlcbcTFxeHm5kZ6ejqlSpXi4MGD2LpXx3fp3ySkZGIaG0LoqomQpWPbtm306NGj0O/L/PnzmThxovpzrVq1cHNz49ChQ+p2QG5ubly+fDnX2lshhBBCFJ5MFRZCPNcUReGdd95h8ODBatAKhovf1q1bad68ea71mQKlK7cgAAAgAElEQVTWrl2rBq1Vq1Zl//79ZGRkcPnyZbp27QoY3sPsu5dHjhyhTZs2lCtXjiFDhqhBa8uWLR8YKB47dkx9PH78eKMyNzc3fHx8AMP61fyyE+/du5f0jEws3GrS7L3PmHksnVcXHiYhJZO67g583t0TsgwB9+P8rjMzM/n666/Vnzds2EBAQAB79uwhPDycxo0bA4aAe8OGDYU+jhBCCCGKnwSuQogitXTpUqMppo0aNaJ///6UK1cOMKzh9PX1JTIysri6+ExauXKl+vjnn3/mlVdeQaPR4OXlxS+//IKLi2ErGb1er76X9+vUqRPbt29/4NTcnHdw79/qBjCafpyzLkBsUjp+pyP5KcSECmPW49r/C0LMqhB08x4aDbT0KsOqtxvR8KX/qK+5e/duAWeev7///pubN28C0KNHD/r27atuwVO2bFkWLlyo1vXz8yv0cYQQQghR/Aq/sEgIIR6RoihGd8jWrl3LW2+9BRgSBg0cOJBNmzaRmprK4sWL+eSTT4qrq8+ca9cM+526urrSqFEjozIrKys6derE6tWr0ev1bN++naCgIH7//XcSExNxd3dn4MCBNG3atMC9VWvXrs3p06cBWL16Ne+++65alpKSwsaNGwHDutXsrXF2X7jJD3+Gci4yOwi1xsQSslLv4aKPY9qQXrSqVhZHa3MAtm7cr7b5MNmJ83Pnzh31cYMGDXKV53yfctYVQgghRMkjgasQRSgkJERNuuDl5VXc3SlyISEhXLp0CYAWLVqoQSuAhYUFCxYs4JdffkFRFLZv3y6Baw7W1taAIQC7d+8ednZ2RuVhYWHqY0dHRwYMGMCAAQMe+TjDhw/np59+AuCDDz4gJiaGevXqERERweLFi7lx4wZg2BbHzM6JEWtPs+vCLfX1/3Gzp2XV0swfP4SYS6eIVPREVFOwqfUuiqJw8OBBPvroI7V+zjHwqLLvMgMcPnw4V7m/v7/62NnZudDHESXTi369FSWTjFsh8idThYUoQikpKSQnJ5OSklLcXSkWOaeF1q5dO1d5+fLlcXR0zFVXQMeOHQHDVOpZs2aRM6/erl27OHToEACenp54eHgU+jhNmzZVg8m0tDSmT59Ot27dGDFihLqm1dbWlvbDptLh60PsunALU62GUW09OTG1Hb+NbsGHXWoxccjroBgSRY0ZMwZnZ2cqVKhAu3bt1MzE7du35+WXXy50Xxs1akTlypUB2LdvH9988406ffny5cuMGjVKrevr61vo44iS6UW/3oqSScatEPmTwFUIUWRyTgvdv3+/mgE329mzZ4mLi8tVV8CoUaPULH0LFiygYcOGTJ48mR49eqjJmQBGjx6NVqslOjGNCb+co/WXB9lz8VZ+zeai0WhYsWIF77zzTp7TiivVqMsrszfz9dFY7qZmUqu8Hb+Oas6ETt4421qq9SZMmGAUON69e1e9WwvQpEkTNm7cWODU5QcxMTFh8uTJ6s/jxo3Dzc2NunXrUr16dYKCggCoVq0avXv3LvRxhBBCCFH8ZDscIUSRatu2LX/++Sdg2Ovz008/xcHBgYsXL9KvXz810/CiRYsYOXJkMfb00SiKwrFjx9iwYQPR0dE4OTnRp08f2rZt+1jBWU7fffcdY8aMybe8V69erPt5A+tORPLNHyEkpf+bPGlMOy8+aOeFVvvwfQkNDWX16tVcvXqVUtbW2NTtzO5bliSnZ2FuqmVsOy+Gt6qCmUn+119/f38WLVrE4cOHyczMpEaNGrzzzjv4+vpiZmb20H3Jj6IofPjhh8yfPz/P8kqVKvHHH3/g6en52McSQgghxL9kH9cCSOAqxLNPp9OxY8cO1qxZQ2RkJPb29nTv3p2BAwdy6tQpOnTooE51tbCwwMXFhfDwcPX1lSpVIiAgAFtb2+I6hUdy+/Zt3nzzTXW6bk4NGjTAz8+PSpUqPZFjbdu2jY8//ph//vlHfa5cuXKMHv1/7N13VBTX28Dx78JSRAUUBRRQsKOiYkHFrthLrLH3bowx0ViSaNQkajT+Yo8xxhJ7F3uNGhuKJSgqVkBElKrUBXZ33j94nbACgkpx4X7O4bg7d+bOneEy7rO3fU6j7sOYc8iPh6GxANSwt6BqKXO2eQcB4OFsw6+9a1LU9N0CxoDwOKbuvsll/5QJjuqULcbPPWpQwbpIJkfmnlOnTrFs2TJOnjxJQkIC5cuXZ9iwYYwePTrdtWYFQRAEQfgwInDNRHo3yNSsMCZGYp4pQfgYPHv2jE6dOukEVq8VL16c3bt38/jxY0aNGoVGo0mzT5kyZTh27BhVqlTJjeJ+sLi4ONzd3XXWpH1T+fLl8fb2zrYASpIk7t69S3BwMObm5tiUc+bnYw/kSZKKFzZmStvKfFrXAQMDBTuvBvHtPl+S1FrKlyzMH4PqUq5k5kFnUGQ8f5x7zHbvIBLVWgoZGTKlXWUGNXTE8B1abnObJEnZ1sotCIIgCEL6ROCaifRu0MUncbR3EePhBCGvqVQq6tWrh6+vb4b7mJmZcfnyZZRKJcuXL0+zZMuwYcOwsLDIxVJ/mCVLljBx4kQgZVzu3Llzady4Md7e3nz77bc8fvwYgJkzZzJ79uxsPbcqWcMf/zxmxZmHqJK1GChgUENHvvSohIWZbquqT9BLRm+8xvNoFUVNlCzpW4uWVWzSzffe8xhWnX3Efp9naLQp/0U0qmDFvG41KGNllq3XIAiCIAiCfhKBaybSu0ET9/ixbuj7z0wpCLklPDwcrVaLgYEBJUqUyOviZLs///yTESNGACndfVeuXEmbNm24c+cOkydP5sSJEwD07t2bbdu25WVRs0316tW5ffs2ANevX8fV1VVOe/ToEZUrV0aj0VC6dGmePn2aLS2BkiRx1Pc584748SQyZeZJN6fizO5SDedS5hkeFxaTyLjN1/AOiEKhgMltKjOueXm5TNcCo/jtzENO3g2Vj2lSsQT9XEtQ264IhoaG+bLeCvlTfn/eCvmTqLeCPhGBaybSu0HNF3uxZVTDt35gE4SPgY+PD8nJyRgZGVGzZs28Lk62a9y4MRcuXADgwoULuLu7y2lxcXE4OTkRFhaGUqkkPDxcr1pW06PValEqlUiShIuLS7rdhZs3by6vJxoRESEv9/O+rj+J4qdDd7kWGAWAjbkJ33RwpkvN0lkKipPUWuYcvM0mr5QxxR1cbOnuas8f5x7LY1gVCmhf3ZYxzcpTw94y39dbIX8S9VbQR6LeCvoktwPXfDMw9K9Lgczr7pLXxRCEAu3hw4cA2NjY6AStAIULF6Zdu3Zs3LgRtVpNUFCQ3geuCoUCQ0ND1Go1MTEx6Y6tjI6Oll8rle//yA2KjGf+UT8O3QwBwNTIgFFNyzO6aTkKm2Q9X2OlAT92daFaaQtmevpy+NZzDt9KGRtrZKigu6s9o5qVo3wWxsAKgiAIgiDklnwTuO67Ecy09lWwKPThyysIQk4pU6aM3AVI30mSREJCAgYGBpiapqzfaWaWMv7x1atXxMTEpJkVOCgoSH5dqFCh3CtsDlEoFDRq1IizZ88SEBDArl276NWrl5x+6tQpeZIqFxcXzM3fvVfIq/hklp9+wIaLgSRptCgU0LO2PZPaVMbWwjTzDDLQ160MlWyKMHbTdWIT1fR1K8OIJk6Uskj7e8lP9VYoOES9FfSRqLeCkLF80VV4+JZbXA18xfedqzK0kVMelUwQCobY2FhWrlzJ6tWrefToEQA1a9Zk7NixeHt78+effwIwbdo05s2bJx936tQpPDw8AHBycuLhw4f54j/mHTt20Lt3byClRXXo0KHy5Ex//PEHiYmJAKxatYrRo0cTFZfEv0EvCX6ZgJmxIUVMlBQxUVLYREkR0/9eGxkq2OT1hKWnHvAqIRmAxhVK8E0HZ6qWzr5hEapkDZIEhYwNsy1PQRAEQRDyPzHGNRPp3aCj914ydY8v5UoW5tRXzcQyCIKQQ0JDQ/Hw8ODWrVvppru5ueHt7S2v0eru7i5PzrRr1y60Wi0AixYt4quvvsrSOSMiIrh58yaSJFG9enWsra2z52KyiVarpU+fPuzcuTNtooEhxiUdqdmqG+6d+nItMJKgl4nvfI5KNkX4poMzzSqVFM83QRAEQRA+CiJwzUR6N8jAxIyG8/4mNlHNpuH1aVxRzMImCDnBw8ODU6dOye/d3NxQqVQ6kxK5ublx5cqVDPPo0KED+/btw8jo7d36nz59yjfffMP27dtJSkoCwNDQkG7dujF//nzKly+PSqVi27ZtrFu3Dn9/f8zMzGjTpg3jxo3L1XVg1Wo1M2bMYPny5aiURSlSsy0mds6YlKqAQmmSZv/kiCCSI4NRGJlgYFyIosVKUsy6FPHJWuIS1fz/CjSUKGLCpDaV6FXHHqWh/rdOC4IgCIKQf4jANRMZ3aBZB+7w16VA2lS1YfWgunlUOkF4O41GI782NNSvrpnXrl2jbt2Uv61SpUpx9OhRatSoAcDp06fp1KkT8fHxGBkZsWzZMpYuXcqdO3fk40uUKMG4ceP47rvvMg1aHz9+TNOmTQkODk433crKiu3btzNx4sR014w1MDBg+fLljB079n0v950FRcaz6Ogd9t98jpb/WkXNTZU4mGm4eGALquC7JIXcR6uKTXN869atOXbsGACqZC0xickUMzPG6CMIWPW53goFl6i3gj4S9VbQJ2JW4fc0sEFZ/roUyMm7Lwh+mYCdpf5P/CLkP76+vno7zX3qrrDff/+9HLQCtGjRgvHjx7NgwQKSk1PGY/r6+nLjxg2Cg4MxNzenfv368iROmRkyZIgctFpaWtKnTx+USiXbt28nLCyMiIgIOnXqhEqlko+xsrLi1atXqNVqtFot48aNw97ens6dO2fH5Wfo2csElp9+yA7vINRaCVDQvHJJOtUoTS0HS8qVKEyDBvV56e0NwIABA/jhhx8oXbo0e/bs4bPPPiMyMpITJ05w+vRpWrZsSSFjw49qzKk+11uh4BL1VtBHot4KQsby/qv8bFLRpigNy1mhlWDr5Sd5XRxByHfCw8Pl1/Xr10+T3qBBA/l1REQECoWC2rVr07lzZ5o1a5bloPXff//l3LlzADg6OnL//n1+++03li1bxoMHD6hevTqAHLQ6Ojpy/vx5wsLCCA0NZcKECXJes2bNIjs7lWg0GkJDQ3n58iWh0Spm7b9N84Vn2HL5CWqtRJOKJdg91p31Q93oWceeCtZFuHv3Dt7/H7TWqFGDDRs24OjoiLGxMX369GHZsmVy/mvXrs22sgqCIAiCIOQn+SZwBRjUsCwA27yfkKjWZLK3IOS+okWLYm5unmaZGH1QsmRJ+fWlS5fSpF+8eFF+XaLE+48zP378uPx60qRJOue1sLBg2rRpOvv//vvvNGrUCIVCQbFixVi8eDGurq4AXL9+nbt37753WV578eIFX3/9NTY2NpRyrIhT90m4/XCE9RcDSNJoqe9UnO2jGrBxeH3qlC2mc+zrmZcBunbtmqb7TPfu3eXXjx8//uCy5gR9rrdCwSXqraCPRL0VhIzlm67CAK2r2mBjbsKL6ESO+j7nk1p2eV0kQdBRrly5vC7Ce+vduzfz588HYPbs2dSvX5/atWsjSRInTpxgxYoVABgbG9O1a9f3Pk9cXJz8umzZsmnSnZz+W/JKoVDQunVrnXSFQkG7du3k9VODgoKoWrXqe5fn1h0/2vcfS2yR0pi2m4J9qcooDFMenarguzirH/HX7MWYmKSdhAn+W9v2dVnepA9r2+pzvRUKLlFvBX0k6q0gZCxftbgqDQ3o55byQfevS4F5XBpByF9q1apFmzZtgJQWyDp16uDq6krVqlVp27YtCQkJAAwdOvSDlqxJHZju378/Tfq+ffvk15Ik8fDhQwAiYhMJj01Eq5Xw8/OT9zE3f7c1TzVaCZ+gl6w885D+f3jRee1dlG0nY9moH6b21VAYKjF89ZQXO7/nxaavObNtFd9//32G+dWvX58iRYoAsHXrVp3JpLRaLTNnzpTfv17nVhAEQRAEQdCVb2YVft39LjRahfv8v1FrJQ5NaEy10hZ5UUxByJfCw8Np06aN3Jr5prZt27Jv374sj2dNT3R0NHZ2dsTGxqJQKPjxxx8ZP348SqWSNWvWMGnSJNRqtbx/6x4DKf/JBI7eeYEkgYECkqIj0MRGolTH06drB0pZFKKkuSmWhYxISNYQo1ITo0qW/41NVBOjUhOtUvM4LJYYlVqnTJrYKExeBTBpYBc61a2AQ3Ezjhw5QpcuXVCr1ZibmxMcHCwHqG/64osvWLp0KQAmJib06dMHe3t79u7dK8+8bGZmhr+//0e3Tq0gCIIgCEJ6xHI4mcjKDRq/5ToHb4bQp54D83vUeDMLQRA+QHx8PKtXr2b16tXy+NG6desybtw4Bg4ciFL54SMQ5s6dy7fffquzTaFQ6Ey0VMjGicJuPTBzbopC8f9//5IECgUfqqipkgblrHh08TDnd/9JcvgTDh8+TPv27XX2GzZsGOvWrQPA09OTLl26pJtfTEwMLVu25OrVq+mmGxoasnXrVnr16oVWq+Xs2bPcvHkTAwMDGjRoQN26dVFkw3UJgiAIgiBkFxG4ZiIrN+iKfySf/n4JUyMDLn/jgUWht68ZKQi5xd/fH7VajVKp1OkSq6+SkpIwMDDIlmA1NUmSmDp1KgsXLkyTpixWmrqDZ/DcxIHXD6/4exd5eWELyRFBGJpZYljYkvot2jJqwmQi4tSExaoIjU7kZUIyhY0NKWpqRBFTJUVNlZibGlHEJOV1UVMjbM1NcS5VFKWhAR07duTw4cMAPH/+HBsbG52yrFixgvHjxwOwbt06hgwZkuE1xcTEMGPGDNauXavzDHN3d+eHH36gZcuWHDt2jAkTJnD//n2dY+vUqcPvv/9OnTp13uNufrj8Vm+FgkHUW0EfiXor6BOxjms2qOdYjCq2RfF7HsPmy4GMa14hr4skCEBKN9jX67PlB8bGxjmSr0KhYMGCBQwYMIBVq1Zx5coV1KbFKFS3O89NyxDy//u5lTbh1cWtnNy/Hq1WC4BDiaJ89tkYvvjiiw++z6kD1XPnztGzZ0+d9H/++Ud+nVkX36JFi7J48WJ+/PFHvL29SUhIoFy5clSpUgWAAwcO0K1bN53F51+7du0azZo148yZM9StW/dDLum95Ld6KxQMot4K+kjUW0HIWL5scQXYfe0pk3b6UNRUydmvW1C8cM58wBaEd+Hj4yMWFn9HUXFJLDjmx46rT9FoUx5XrapYM9GjEi72KWPYw8PDefLkCYULF6ZChQoYGhpmy7mPHz9O27ZtgZQZjj09PalZsyYajYb169czYsQIIGX5n6dPn2Y4s3BmVCoVZcqUISwsDEhphR06dCgqlYpVq1Zx+/ZtAGrWrMmNGzdyvduwqLeCPhL1VtBHot4K+kR0Fc5EVm+QRivRedl57oREM8TdkVldquVmMQUhXWq1GkmSUCgU2d69Nr+RJInd14OZe/gukXFJALSoXJKJHpWo6WCZK2XQarXUr19fZ2xq1apViYqKIiQkRN42b968NOvLvovNmzczYMAAANq1a8ehQ4fkZ5pKpcLNzY1bt24BcOHCBdzd3d/7XO9D1FtBH4l6K+gjUW8FfZLbgWu+Wg4nNUMDBd90cAZgk1cg/uFxmRwhCDlPqVRiZGQk/jPKxMPQWPr+4cXknT5ExiVR2aYoO8c0ZN1Qt1wLWgEMDAzYt28fzs7O8rY7d+7oBK0jRoxgypQpH3Seixcvyq+//PJLnQe+qakpn332Wbr75hZRbwV9JOqtoI9EvRWEjOXrv4rGFUvQvHJJztwL4+cjfqwamDcTmwiCkDWqZA0rzzxi1ZlHJGm0mBoZ8EWrSoxo4oSRYc59zxYfH8+2bds4d+4carUaZ2dnBg8ejJ2dHXZ2dly5coU1a9awZs0a/Pz8MDExoWnTpowfP54OHTp8cNfd1Mv7pLekTuptqfcVBEEQBEEoKPJ14Aowvb0z/9wP4+jt53gHRFLPsXheF0kQhHRceBjOd/t85d4RLSqXZM4n1XEobpaj5/X09GTYsGFERkbqbJ85cybTpk1jzpw5FClShIkTJzJx4sQcKYOLi4v8ev369TpdgSVJYv369enuKwiCIAiCUFDk2zGuqU3fc5OtV4Ko5WDJ3nHuYj1EIc+8fPkSrVaLgYEBlpa51+X1YxYZl8QPB++w90YwANZFTZjVpRrtq9vm+N/qyZMnadeuXboz+b42ffp05s6dm6PliIqKws7OjoSEBADGjBnD8OHDUalULFmyhF27dgHg4ODA48ePc70Lmai3gj4S9VbQR6LeCvpETM6Uife5QaHRKpr/cob4JA3L+7nSqUbpnC6mIKRLzBaoKzZRTc/fLuL3PAaFAgY1KMuktpUxN835ZQAkScLFxUWesbdTp058/fXXWFpasmnTJhYtWiR/eAgICMDBwSFHy/Prr7/y1VdfvXWf3bt307179xwtR3pEvRX0kai3gj4S9VbQJ2JyphxgbW7K6KblAfj5qB+J6oxbVwRByB0arcSErTfwex5DiSIm7B3XiNmfVM+VoBXg0qVLctBar149PD09adq0KTVq1GDBggXyhEtarZa1a9fmeHkmTpzIL7/8ku6SOubm5mzZsiVPglZBEARBEISPQb4f4/rayKZObL4cSFBkAhsvBTKiSbm8LpJQAJUuXRqNRpNt64zqsx8P3eFvv1BMlAasGVyXWrk4WzCAr6+v/HrgwIFpvh0cMmQI8+fPT7NvTlEoFEyaNIkhQ4bw119/4ePjg4GBAQ0bNqRv377pTtqUW0S9FfSRqLeCPhL1VhAyVmACVzNjJZPbVGbK7pssPfWAnnXssTQzzutiCQVMyZIl87oIH4WNXoGsuxAAwK+9a+V60ArojBN9s5vLm9tyc0yplZUVX375Za6dLytEvRX0kai3gj4S9VYQMlYgugq/1qOOPVVsixKtUrPs74d5XRxBKJDO3g9j1v6ULrpft61MB5dSeVKO1DP3rl69mlevXsnvJUnil19+kd83atQoV8smCIIgCIIg6CpQgauhgYJvOjgD8NelAAIj4vK2QIJQwNx/EcP4zdfRaCV61LZnXPPyOX7OkJAQZs+eTc2aNXFwcKBevXr8+uuv2Nra0rJlSwACAwNxdXVl4cKFrFmzhhYtWrB9+3YgZQ3VgQMH5ng5BUEQBEEQhIwViFmF3zTwz8ucexBOR5dSrOhfO7uLKAhCOsJjE+m64gJPoxJwcyzOxhFumChzdgzPsWPH6NmzJ7GxsWnSbG1tWblyJSNHjiQiIiLd4xUKBRs3bqR///45Wk5BEARBEAR9I5bDyUR23KC7IdF0WHoOSYLdY92pU7ZYdhdTKEDUajVHjhzhypUrSJKEq6srnTt3xtg47RjqmzdvytPc16hRIw9KmzdUyRr6/eHF9ScvKWtlxt5xjSheOGfHmN+5c4e6devKa6MCWFtbExoaKr8vWbIke/fu5ZtvvuGff/7ROd7JyYn//e9/dO3aNUfLqQ8Kar0V9Juot4I+EvVW0Ce5HbgWmMmZUnMuZU6vOvbsuPqUuYfvsmtMQxQKRV4XS9BDx44dY9SoUTx58kRnu62tLcuXL6dHjx462yVJkn8KCkmSmLLrJtefvMTcVMnaIfVyPGgF+Pnnn+WgtXPnzqxYsQIHBwfu3r3LsGHD8PLyIiwsjJMnT3L27Fl8fX05d+4cycnJVK1alZYtW+bYg1ffFMR6K+g/UW8FfSTqrSBkrEC2uAK8iFbRfOEZEpI1rBlUF4+qNtlZTKEAOH78OB06dECjSX9dYIVCwfbt2+nVq5e87f79+6jVapRKJZUqVcqtouapxSfvs/jkA5QGCv4a5oZ7hRI5fs7ExEQsLS1RqVQUK1aMoKAgChcuLKcHBgZSrlw5tFot5cqV49GjRzleJn1WEOutoP9EvRX0kai3gj4RXYUzkZ03aP4RP1adfUR1O3MOjG8sWl2FLNNoNFSoUIGAgAAAmjVrxmeffYZSqWT16tUcPXoUSFna5OnTp5iamuZhafPOvhvBTNz+LwDzu7vQx61Mrpw3ODgYe3t7ALp06YKnp2eafVxcXPD19cXIyIikpKRcKZcgCIIgCEJ+kduBa4HuBzeqaTnMjA3xDY7m5N3QzA8QhP93/PhxOWht0qQJp06dolevXnTr1o3Dhw/TuXNnACIiIti9e3celjTvXHwUzte7fICUv7XcClohZSbg1/z8/NJ0uYqPjycwMBBIecAKgiAIgiAIH7cCHbgWL2zMYHdHIKU7o541Pgt56OrVq/LrMWPGYGj43+y4CoWCcePGye+9vb1ztWwfg/svYhi98RrJGomOLqWY1q5Krp7fwsKCJk2apJTl/n1Wrlwpp0mSxMyZM+VvCDt16pSrZRMEQRAEQRDeXYEOXAFGNilHYWNDbj+L5sSdF3ldHEFPpP6SI73uEKm3FbQvREKjVQxd502MSk3dssVY9GlNDAxyvxv+xIkT5dfjx4/Hzc2NMWPGUK1aNRYtWgSkfMkwYcKEXC+bIAiCIAiC8G5yLHA9c+YMCoUi3R8vLy+dfU+ePEnDhg0xMzOjRIkSDBkyRGfJipyk2+r6oMAFGcL7qV37v/V/V69ejVarld9LksSqVavk93Xr1pVfBwUFERAQQFBQULaXKSkpib/++oumTZtibW2Nvb09/fv359KlS9l+rozEJaoZut6b4JcJlCtRmD8G1cXUKGfXas1It27d+PLLL+X33t7e/P7779y9e1fetnjxYurUqZMXxdMrOVlvBSGniHor6CNRbwUhYzne4jp37lwuXbqk81O9enU5/ezZs7Rv3x4bGxs8PT1ZsmQJJ0+epFWrViQmJuZ08YD/Wl3vhERzXLS6ClnQrl07HBwcADh9+jTt2rXD09OTw4cP061bN/bu3QtA8eLF6dmzp3xcZGQk4eHhREZGZuHFa0MAACAASURBVGt5IiIiaNKkCYMHD+bcuXOEhYURHBzMli1bcHd3Z9q0aTn+pYxao+WzLde5/Swaq8LGrB/qRrFcWPYmIwqFgkWLFrFx40Zq1qypk9akSRMOHz5cYFtbJUni9OnT9O7dGycnJxwdHenatStHjhxJt57kVL0VhJwk6q2gj0S9FYSM5fg6rhUrVqRBgwYZpn/99ddUqlSJXbt2oVSmFMfJyYlGjRqxdu1axo4dm9NFpFhhY4Y0cmTF6UcsPvmA1s42edK1UdAfSqWS3377jS5duqDVajlx4gQnTpxIs9+yZcsoVKhQjpZFkiR69OjBlStX5G22trbExsYSGxsLpKxpam9vz/jx43OsDDM8fTlzLwxTIwP+HFKPMlZmOXKud6FQKBgwYAD9+/fH39+fqKgobGxs5BmHCyKNRsPIkSNZt26dzvbAwEA8PT3p3r07W7ZswcTEJI9KKAiCIAiCkFaejnENDg7G29ubgQMHykErgLu7O5UqVZJbrXLDiMblKGKi5K5odRWyqGPHjnh6elKqVKk0aVZWVmzevJl+/frpbK9cuTLVqlWjcuXK2VaOc+fOcfbsWQBsbGw4ffo0z549IywsjAULFsj7zZs3j2fPnjF37lxq1KiBra0t1apVY+bMmTx79uyDyrDyzCO2XgnCQAHL+tamloPlB+WX3RQKBeXKlaNOnToFOmgF+Pbbb3WC1sKFC+vMrLxnz540LdE5UW8FIaeJeivoI1FvBSFjObaO65kzZ2jRogXW1tZERERgZmZGw4YNmTFjBo0bNwbg2LFjtGvXjkOHDtGhQwed43v16sWFCxfSfKBOb72gJ0+eULZsWczNzeVtiYmJ+Pn5AVCsWDHKlNFdiuPBgwfEx8cDyN0Ifzl2j+WnH1KxpBkLWhXDQKGgTJkyFCtWTD5Oo9Hg6+sLpCyjUa5cOZ18/f39iY6OBqBatWo6AfnLly/lJThKly5NyZIldY69efMmkiRRqFChNItOBwUFyd1GKleurLMuaGxsLI8ePQLA2to6TSB1584dkpOTMTIyomrVqjppISEh8nji8uXL6ywjolKpuHfvHpDS5fV119jX7t+/T0JCAgqFgho1auikhYWFyb+7smXLYmn5XyCjVqu5ffs2AObm5jg5Oekc+/jxY/l3XL16dZ0Ze6Oionjy5AkAdnZ2lChRQudYH5+U5VfMzMyoWLGiTtqTJ0+IiooCoEqVKjotStHR0fj7+wMpwZ+tra3Osbdv30atVmNiYkKVKroz5AYGBrJz5058fX2xtLTEzc2N7t27Y2pqSnx8PA8ePABSgtk3g6Z79+6hUqkwNDTU6UIPEBoaSkhICACOjo5YWFjIaUlJSfJYzfnz57Nt2zYANm7cyIABA3j06JHc2jpjxgwOHDgApNTZN/9+IGX5mN27d+Ph4cGpU6fYs2cPV69eRZIkypcvz7Bhw2jdujVPnjzh1atXADg7O2NsbKyzVuuoOpZ0rFSEUqVKYW1trXMOX19fNBoNpqamaf5Dfvr0KREREUBKLw0zs/9aa+Pi4nj48CEAJUuWpHTp0jrH+vn5kZiYiFKppFq1ajppz58/58WLlC+inJycPvgZ8Vp4eDjBwcEAevWMePXqFW3btkWlUqFUKlm5ciWDBw/Gz8+PQ4cOMXv2bBITEzEwMCAgIAAHBwfxjPh/H/KMeP1FEkCFChUoXLiwnJYbzwgLCwscHR11jk39jHBxcdGZUC4iIoKnT58CYG9vj5WVlZym1Wq5desWkPLcKF++vE6+AQEBaZ4Rr7169UpeRkw8Iz7OZwSIzxHiGZFCPCNSiGdEioyeEbm9jmuOdRW2sLDgiy++oHnz5lhZWfHw4UMWLlxI8+bNOXToEG3btpUrWPHixdMcX7x4cTk9M2q1Os24LEmSSE5OltPTO+Z1+msjmjix/mIAD8LiuRBgRAN7U51Jd17Lar5vlkmr1cppGo0m3XwlScLIyChNmkaj+aB837zW9PJ981pT38P08n19rQpF2m7VWc03q7+b11Jfa3b+bjK71uTkZNRqdYYzCDdv3pzmzZtTpUoVnf+0s5JvcnJyumlv+52nvtbnz5/L2zw8PHTyBWjdurUcuKZ+uFhbWxMWFoYkScTGxtKtWze+//57ZsyYQVJSkrzftWvX2LFjBy1btmTRokU69zb1Wq2D3ErTpowmw+tJSkpCq9XqfIDIyrVm9R6md4+ymu/HUg9z+hlx7NgxVCoVkLKM08iRI+X9W7duTUBAgDzZ2JYtW5g6dap4RqRTpnd9RmRH/f6QZ8S7/r+Q1XuY3vGpy/SmzK5VPCPS5is+R4hnhHhG/Ec8I9Lm+7E8I3JLjgWurq6uuLq6yu+bNGlCt27dcHFxYcqUKbRt21ZOS++B9bbtb1IqlWn2VSgU8i8l9TcRqY9585dmaWbM0EaOLPv7ITvvxtPIsUi6D5is5vtmmQwMDOS09P7ojIyMkCQp3XwNDQ0/KN/U/2aU75vXmvoeGhoaIkkS586dY8+ePURFRWFsbIyHhwfOzs7vnW9WfzfpXWt2/m7evNb08k29T2pv+91kJV+NRpNu2tvyfX0soPPt3+3bt7G1tcXIyEhOf/2t3WuNGjVi+vTp2NvbY2BgwDfffMPBgweJj49n6tSpac7z2t9//8348eNZvnw5CoWCB6Gx8lqtHVxs+bKlE0/+/1u+9K7H2NgYjUaTI/dQq9W+89/Nx1gPc/oZER4eLm9r165dmvI2a9aM1atXA8gzWr7LMyKja02v/opnRNbz/dBnREb5fug9zOxa35TZtYpnRNp889vniDeJZwTy/uIZIZ4Rb5YpK/l+LM+IXCPlsjFjxkiAFB8fLx09elQCpEOHDqXZr2fPnlKpUqXSbNdoNNLLly91fjQaTbaV72VcklR95lGp7NSD0qGbz7ItX30XGBgoubm5SUCanw4dOkiRkZF5XUS9EBMTI7169UqKiYnJtjy3bt0q/y7q1aun87u4dOmSZGpqKqcbGxtLz58/1zn+1atXUtGiRXV+p4MGDZICAwOlpKQkaceOHZKVlZWcdvLkSen5qwSp4dyTUtmpB6UeKy9ICUnqbLseIecsXLhQ/j3+8ssvadL//PNPOX369Ony9pyot4KQ00S9FfSRqLeCPsnpuOxNuT45k/T/Tc8KhULui/+6L3xqt27dStNXPzdYmBkxtHHKWIklJx+g1Yp1XSMjI2nRooXOrLWpHT58mPbt2+fa8kX67NGjR9y/f18eJ5AdunfvLo+r8Pb2xtHRkT59+uDh4YG7u7vcNRRSxljY2NjoHG9ubo6Li4v8vlq1aqxfv54yZcpgZGREr169WLZsmZy+et1fDF3nzbNXKsqVzNu1WoV307FjR/n1okWL5LFEkDJObe7cufL7Tp06ya9zot4KQk4T9VbQR6LeCkLGcjVwjYqK4uDBg9SqVQtTU1Ps7Oxwc3Nj06ZNOv2lvby8uHfvHt27d8/N4smGN3KiqKmSey9iOOL7PPMD8rlFixbx+PFjIGVg+saNG/H19WXFihXypAaXL19m48aNeVnMAsvY2Jh9+/bJY8Wjo6PZvn07p06dkr8oet2t49GjR2m+YNBoNNy/f19+36VLlzRdROS/RQND/jWrw52QaEoUMWZDHq/VKrwbZ2dneZhGSEgIVapUoVevXvTt25cKFSrIH5Tc3Nxo2LBhXhZVEARBEARBh+GsWbNm5UTG/fr1w9vbm5cvXxIaGsqJEycYPnw4QUFBbNiwQZ4hq2LFivz666/4+PhgZWWFl5cXo0ePpkyZMvz2229p+mBLkqQzcQyAiYlJlsfDZoWpkSGJyVou+0fyMDSG/vXLZmv++kSj0dC/f3/i4uJQKpVcvXqVZs2aYW1tTb169WjYsKG8tMbz58/lyV6E9EmSJC8/knoJkg9VqlQpPv30U2JjY/Hz85MH85cpU4bp06djaWnJnTt3SEhIICkpCQ8PDxQKBZIksXDhQvbv3y/nVbFiRT755BOd/P39/Vm2bBlW7Sdg6FiXQkaGbBpRn0o22XcNQu7w8PBg//79REZGotFouHPnDr6+vvKkC/b29hw6dEhnhsOcqreCkJNEvRX0kai3gj7JjbgstRxbDmf+/Pls374df39/YmNjKV68OI0bN2b69OnUq1dPZ98TJ04wc+ZM/v33X8zMzOjUqRMLFy5MMw025N60y68Skmn889/EqNQs7+dKpxqlMz8oHwoJCZGnDffw8ODEiRNp9nndUmNiYqLTLVXIG3FxcTx58gQTExPKli2LoaEhXl5eOi1olSpVonHjxly5ciXN5E0mJiZ4e3vL3Yc1Gg39+vXjWLASy8b9UCCxZnA9WjnrdjkW9EdERAQ//fQT69at4+XLl0DKsgUDBgxg5syZ6a5NLAiCIAiCkFpuL4eTY4FrTsnNG7T45H0Wn3yAU4nCHPmiSYEcxxcaGiqPiXR3d+fChQs66VqtFgcHB549e4aZmRlxcXF5UcwCw9fXl3PnzqFWq3F2dqZly5ZZrvuLFy/myy+/zDC9fv36XL58GUgJXnv16oW9vT179+7lqXEZSnT4AoDpHo6M9qiWYT6C/lCpVDx48ABJkqhQoYLOuneCIAiCIAhvk9uBa65PzqRPhjV2omRRE/zD41h0/F5eFydPlCxZkgoVKgBw8eJFvLy8dNJ37twpLxDu7u6e6+XTN+mtOZwVfn5+NGvWDBcXF8aNG8eECRNo3bo1FStWxNPTM0t5TJw4kSNHjtCsWTOd7Q0aNGDXrl2cPHlS7g2RmJjIpk2bmD9/PoFJhbFqNx6AVqXUImjNR0xNTXFxcaFGjRoiaBUEQRAE4aMmAte3MDc1Yn73lO6Sa8774x0Qmcclyn0KhYKxY8fK71u3bs3UqVPZsWMH48aNY8CAAXLauHHj8qKIH72wsDC+//57eZZeU1NTOnfunG636/Tcu3ePxo0b888//6RJe/z4Md26dWPz5s1Zyqtdu3acOXOGZ8+e4ePjQ1BQEJcuXaJHjx4UKVKEv//+m6+++goLCwsAjKzLUfKTaSgMDGlYWsmaCV2yfuGCIAiCIAiCkE1EV+EsmLzTh13XnuJoZcbhL5pgZpx20d78TKVS0bp1a86fP5/hPp9++inbtm0rsJNYZeT27du0bt2akJCQdNOnTJnC/Pnz33rfWrVqxd9//w2kzOo8btw4LC0t2bRpE2fPngVSxic+ffpUDjg/VFxcHEf+ucIPl+J5lQQNy1mxYZgbxkrxXVdBdOfOHZKTkzEyMqJq1ap5XRxByBJRbwV9JOqtoE9EV+GP0MzOVSllYUpARDwLjha8LsOmpqYcOXKEoUOHppnl2czMjK+//prNmzfny6A1MjKSRYsW0bJlS+rVq0f37t3Zt2+fPGvv28THx9OxY0c5aDU0NKRq1apYWVnJ+yxYsECelfnVq1fs2rWLP/74gwMHDqBSqfDz85OD1rJly3Ljxg0mT57MiBEjOH36NL179wYgNjY2W5YjCo9NZPPlQEZv9WXquQReJUElmyKsGlhHBK0FWHJysvwjCPpC1FtBH4l6KwgZK1hNh+/J3NSIn3vUYNDaK6y/GECbaja4ly+R18XKVUWKFGHt2rXMnTuXgwcPEhUVha2tLV26dMm2Vr6PzbFjx/j000+Jjo6Wt129epW9e/dSt25dDhw4gK2tbYbHb9u2jcDAQABcXV3Zu3cvcXFxJCQksHPnTn7++WcA5s6di6+vL6tXr9aZ3MrKykpnPOqoUaN07rVCoWDy5Mls374dgAsXLjB+/Ph3vs6wmESO3n7OkVsheD2OQJuqD4ZrGUtW9KuNRSGjd85XyD+MjIx0/hUEfSDqraCPRL0VhIyJrsLvYPqeW2y98gT7YoU4OrEpRUxE3J9fXb9+HXd3dxITEzPcp1atWnh5eWFiYpJuetu2bTl+/DgAXl5e1K9fXye9RYsWnDlzJstlWrp0KZ9//rnOtnv37lGlShUAevbsyc6dO7OU16v4ZPb7BHPoVghX/CN1glUXOws6uJSig4stZa0KZ7l8giAIgiAIQsEhugp/xL7t6Ix9sUI8jUpg7uG7eV0cIQfNnj1bDlo7derE3bt3UavVHDx4EAcHBwD+/ffftwaKoaGhABgYGODm5pYmvVGjRjrvjY2NGT16NKtWraJv375pul5v3LgRrVars23Dhg3y6+rVq2d6XTefvuTrnT64zT3JDM/beD1OCVpr2lswvX0Vzk1pwYHPGzO2eXkRtAqCIAiCIAgfDdHi+o4uPgqn3x8pa13+NcyNppVK5sp5hdwTFhaGra0tWq0WOzs7Hj16pNOqeubMGVq0aAFAy5YtOXXqVLr5eHh4yGnXr1/H1dVVJ71169acPHlSfn/q1Clatmwpv//zzz8ZMWKEzjGdOnXi66+/lidnWrRoEVqtFgMDA/z9/SlTpkyacqiSNez3ecZmr0B8nr6St1exLUqP2va0d7HFvphYCkUQBEEQBEHIutyOy0Tg+h5m7b/N+osBlLIw5ejEpmL8Xz5z9epVeT3TkSNHsnr1ap10SZKwsrIiKioKR0dH/P39081n1apV8lJCDRs2ZN++fVhbWyNJEmvXrtUJSuvVq8eVK1d0jtdoNNjZ2fHixYtMyzx9+nTmzp2rs80/PI7NXoHsvPaUVwkpkzwYGxrQsUYpBjQoS+0ylvlyQi1BEARBEAQh5+V2XCYGab6HKe0qc+ZeKAER8fx48A4Le9XM6yLplWvXrrFmzRr8/PwwNjamWbNmDB8+HBsbm7wuGpAyU/JrT548SZP+8uVLecKmQoUKZZjPgAEDmDNnDiEhIVy6dImyZctSt25dgoKC5EmbXitevHia4w0NDbGwsODFixcolUrMzc2JjIxMs8+0adOYM2eOvM03+BULj93j7P0weZt9sUL0r1+WT+vaY1Uk/TG5gpCRkJAQNBoNhoaGlCpVKq+LIwhZIuqtoI9EvRWEjIkW1/d0NSCSXr9fQpLgz8F1aeX8cQRdH7PExESGDx/O5s2b06SZmpqyatUqBg8enAcl06VWq3FycuLp06coFApOnz4tz+4rSRITJ05k6dKlAEyYMIElS5ZkmNe1a9do27YtERER6aabmJiQmJiIsbEx/v7+lC5dWk5L3fJbs2ZNLl68yPbt2/nnn39ITk6matWqDBkyRD4m+GUCvxy7x94bwQAoFNCisjUDG5SlaaWSGBqI1lXh/fj4+MjrCtasKb6oE/SDqLeCPhL1VtAnosVVT9R1LM6Ixk78cc6faXtuceLLYliaGed1sT5qI0eOTDdoBVCpVAwZMgRLS0uaN2/Ohg0b2LZtG6GhoVhZWdGjRw+GDx+uswZqTlEqlXz22WdMnz4dSZJo1aoV3bt3p0qVKhw+fJhr164BKZMujRs37q151alThxs3bvDrr7+yfv16oqKi5O3Tp0/n4sWL/O9//yMpKYk2bdowf/58XF1dOXv2LFOnTpXzGTlyJGZmZgwdOpShQ4fqnCNalczK049Ye8GfJHXK5E1da5Xmy9aVxARLgiAIgiAIQr4gWlw/gCpZQ8el53gUFkf5koVZ0seV6nb5c03TD3Xr1i1q1KgBpHSvXbhwIf369SM8PJy5c+eyfv16ABwdHVGpVDx//jxNHsWKFcPT05MmTZrkeHmTkpLo0qULx44dy3CfFStWZBq4pqbVagkODsbExAQzMzOKFCnC8+fPqVOnDs+ePcvwOBcXF7y8vHS6MAMkqbVsuRzI0r8fEhmXBECDcsX5poMzNewts1wuQchMbGysPAlYkSJF8ro4gpAlot4K+kjUW0GfiMmZMvExBa4At5+9Yug6b0JjEjEyVPB128qMaFwOA9EtU8eXX37J4sWLAfj111+ZOHGinCZJEo0bN+bixYtpjrOwsODVq/9mwi1atCg3btygfPny2VKu0NBQdu7cydOnT7GwsKBz585Uq1YNSAlef/zxR3777TfCw8PlY2rVqsX3339P165ds6UM9+7do2vXrvj5+aVJc3d3Z/fu3dja2srbJEni2O3nzD/iR0BEPADlSxZmentnWjlbiwmXBEEQBEEQhBwnAtdMfGyBK0BkXBLTdt/k+J2U2V8bVbBiUa9a2FqY5lmZPjadOnXi0KFDAAQFBWFvb6+TvnjxYr788kv5fYMGDVizZg3VqlXjwYMHjB07Vl5aZuzYsaxcufKDypOcnMyUKVNYuXIlSUlJOmlt2rRhw4YNcrCoUqnw9vYmJiYGBwcHqlevnu3BoUaj4dChQ+zZs4eoqChsbGzo168fzZo1Q6FQoNVK/Pv0JafuvuD47Rc8CI0FoEQRY75sXYnedR1QGoplmQVBEARBEITcIQLXTHyMgSuktIJt8w5izoE7JCRrsDQzYn53F5yMojl58iQJCQlUqFCBDh06YGz88Y6Fffr0KQEBAZiZmeHi4oKRUfYs9dOzZ092794NwJUrV+RJh16bOnUqCxYsAFJmyg0MDMTOzk5Oj4qKwsHBgbi4OIoWLUpkZCRK5fsN0ZYkif79+7N169YM96lYsSKXLl3KlTG1GYlPUnP+QTin7oZyyi+U8NhEOc3UyIBRTcoxqll5ipiIoeqCIAiCIAhC7hKBayY+1sD1tUdhsUzc9i+3glO6t8b4HCPq1B9IySoArK2t+eGHHxg1alReFjONixcvMmvWLE6cOCFvs7W1ZezYsUydOhUTkw9bQmXlypV89tlnAHTp0oU9e/ZgaGgIpATLNWrUkCcuqlGjBj4+PmnyaNu2LcePHwcgLCyMEiVKvFdZjh07Rrt27QAwMjJiwoQJtGnThjt37rBgwQJCQkIAmDRpEr/88st7nSMjKpUKSZJQKBSYmuq2yEuSRGBEPBcfRXDq7gvOPwwn8f8nWwIoaqKkWeWStK5qQ/NK1liYifWDhdzxtnorCB8rUW8FfSTqraBPROCaiY89cAUIeBJE03E/o6jWFoXCgOTIZ4QfWEjS8wfyPj///DNTpkzJw1L+x9PTk549e6JWq9NNb9WqFYcOHfqg4DU6OpoyZcrI41WrVatG7969CQ8PZ8OGDTrjWEuUKEFwcLBOy7RWq6VChQr4+/ujUCiIjY1NM1lRVnXr1o19+/YBsH79ep0lePz9/alSpQpJSUkUK1aMkJCQDw7aU0s9zX11lxr4PY/G2z8S74AovAMiCY1J1NnfvlghPJxtaF3VhnqOxTFWfjz1XCg4xPIMgj4S9VbQR6LeCvpEBK6Z0IfAtX///mzZsgUTh+rYfDIFReHiGCDh9Owkf29MWfPTwMCAhw8f4uTklKdlDQ0NpVy5csTFxQHg5OREp06dCAwM5ODBg2i1KS1+M2bMYM6cOR90rgMHDtC9e/cMA+TChQvL5Zg9ezYzZsyQx5IuX76czz//HIAWLVrw999/v/VckiRx/vx5Vq9ejY+PDwYGBjRs2JAxY8bQsWNHgoODsbCwIDw8PE2X49SB7Z07d3B2dv6g635Nq5XYedobn5AE7kWouR+pJiZR914YGSqoaW9JiyrWeDjbUMmmiJhsSchz4oOUoI9EvRXygkqlIiws7L2Pj4mJkVtcixYtmo0lE4T3U7JkyQxb/0XgmomPPXANCwvDzs6O5ORkihUrxuUbt1h4NoTjd15gojSgYeI1NvwyA4Bp06Yxb968PC3v3Llz+fbbb4GUcahbt26VA7kLFy7QrFkzNBoNJUqUICgo6IO7rfzzzz9MmTKFy5cvy9uMjY3p3bs3PXv25JNPPpG3165dm8aNG3PlyhW8vLzk7Z6ennTp0iXDcyQlJTF06FC2bNmSbnqRIkWIjY3F0tKS8PBwucvya6nH496+fZuqVau+17VCSrB67UkUh26GcMQ3hBfRui2qRUyU1C5bDDfHYtRzLE5NB0tMjQwzyE0Q8kZQUBAajQZDQ0McHBzyujiCkCWi3gq5TaVSERoaip2dXZrPFlmVlJQkB64f85woQsGg0WgIDg7G2to63RhABK6Z+NgD16NHj9K+fXsAPv/8c5YuXUqyRsvYTdc4eTeUwsYGPPj9M5JD/WnatClnz57NlXKp1WqOHDnClStXkCQJV1dXOnfujIeHB+fOnQPg8ePHaVqAe/Xqxa5duwA4f/48jRo1ypby+Pr64ufnh4mJCfXr18fa2hqAn376ie+++y7D47766it++eUXFAoFCQkJXL9+nYSEBMqXLy+XfezYsaxatUo+RqlUotVq5dbj1LZs2ULfvn3l90FBQVSqVAmVSoWFhQXPnz9/52Bdq5W4ERTFwZshHLn1nOfRKjmtqKmSxhVKUM+xOG5OxaliW1TMBiwIgiAI+UBQUBClS5d+76BVED5GGo2GZ8+epfsFYG7HZWI60myWuhts4cKFATAyNGB5v9oMWnuFK/6R2Hw6h+ebp2bYZTa7HTt2jFGjRvHkyROd7ba2thQqVAhI6bpctmzZNMdWqFBBfh0bG5ttZapevTrVq1dPs/3bb7+lcuXKzJs3j+vXr+vsP3nyZAYNGkR8fDyzZ89mzZo18oROAM2bN+ezzz5j9erVAJiYmLBs2TIGDRpEUlISy5cv55tvvtE537Bhw7hz5448OdO8efNQqVICzSFDhrxT0HrveQzbvYM44htCyKtUwaqJktbVbOhUoxSNKpTARCn+QxMEQRCE/EgErUJ+8zHVadHims0CAgLklr+yZcvi5+cnBz/RqmRa/bifMLUp6lcv8OAm639bnKPlOX78OB06dECj0WS678GDB+nYsaP8XpIkatasya1btwC4e/cuVapUeWsewcHBrFmzhnPnzqFWq3F2dmbEiBHUqVPnncotSRKPHj0iNDSU4sWLU7lyZRQKBXFxcXh4eOh0HU7NwMBAblmdOXMms2fP1kkfNGgQGzduzPT8jo6OXLlyhZIlS2apvIduhvDl9n9J0qScu4iJkjZVbejgUoomlUSwKgiCIAj5XVBQkOiWLuRLGdXt3I7LY34F7wAAIABJREFUPo5oLx9xdHSkTZs2AAQGBsoz8vr4+LBo3o/4rhhLcuQzlBY2PHJoz8v4pGw5r0aj4ebNm1y4cIHAwEB52+jRo+WgtVmzZuzYsYM9e/bI3ZlTGz16NMePH0eSJF68eMGoUaPkoLV+/fqZBq2rVq3CycmJWbNmcerUKc6ePcuqVauoW7cugwcPJikp69eqUCioUKEC7u7uVKlSRZ6gaMaMGXLQamRkRN++fZk8eTIVK1YE0OkOnN442NTb6tWrl+63SI0bN+bs2bNZDlr/uhTA+K3XSdJoaVKxBH8MqsvV7zz4X+9aeFS1EUGrIAiCIAiCIHwg0eKaA3x8fGjUqJE8Q+6bDM2tKT96BYkGhXAtY8nmEfUxM36/XtsajYYlS5awZMkSna7AzZo1o23btnLX2CZNmnD69Gk5UJMkiU8++YQDBw6kydPMzIz4+Hj5vUKh4MiRI7Rt2zbDcmzfvp0+ffq8tazDhw9nzZo173R9qcXGxlK6dGliYmIwMTHBy8uLWrVqASldtPv06SNPqgSwY8cOevXqpZPHggULmDp1KgBLliyhe/fubNu2jeDgYMzNzenUqRP16tXLUnkkSWLR8fssP/0QgAENyjC7S3UMDTKeBfj+/fuo1WqUSiWVKlV6p+sXhLwi6q2gj0S9FXJbdrS4inVchY+RaHHNx2rWrMnx48cpU6ZMmjQDAwPGDvqUvV94YGlmxI0nLxm98RpJ6rQTB2VGo9HQu3dvJk2alGb86tmzZ+XZggHGjBmj07qoUCgYN26c/P715EiATtBqZGTE2rVr3xq0ajQapk+fLr8fPXo0/v7+REVFsXTpUvnB++eff3Lv3r13vs7XLl++LP9x9OnTRw5aIWUCpp9++kln/59++klnfdjg4GCWLFkiv2/Tpg329vZMnjyZX3/9ldmzZ2c5aFVrtEzbfUsOWr9qXYkfPnl70AqQkJBAfHw8CQkJWTqPIHwMRL0V9JGot4I+ej2ZZHoTSgpCQScC1xzi7u7Ow4cP2bVrF2PGjGHw4MHMmTOHx48fs2zZMqraWbJuSD3MjA059yCcr3b8i0b7bo3fy5Yt02lhbNu2LRMmTJC/WU7dmJ7eNx+pt/Xq1YsdO3bQvn17KleuTO3atZk6dSr3799nyJAhby3HmTNn8Pf3B6BVq1b89ttvODo6Ymlpyeeff86sWbPkfdetW/dO15ha6hZsR0fHNOlvbvPx8aFChQqMGzeOYcOGUaVKFZ49ewak3KvMuj5nJCFJw5hN19h+NQgDBczr7sKEVhWztN6qQqGQfwRBX4h6K+gjUW8FIfusX79e528q9c/kyZMBsLe3Z8SIEfIxDx8+RKFQsGnTJnnb+fPnmTVrFtHR0bl+DYL+E7MK5yAjIyN69OhBjx490k13LVOMVQPqMHyDNwdvhmBeyIgfP6mOQSatdpDyjdzSpUvl96knVtJqtYwaNYo///xTTl+9ejWffvqpHKxKkqSzZEz9+vXp1atXmq61WfHgwQP5dY8ePdJ8SOjZsyfTpk0DUh5i7yv1Uj379+/n+++/1znXvn375NfGxsYkJSURHh7Ob7/9ppOPo6Ojzr15Fy/jkxi+4SrXAqMwURqwrK8rbarZZvn4GjVqvNd5BSEviXor6CNRbwV9ZGZmltdFeKt169al+eK/dOnSABw4cAALC4u3Hn/+/Hlmz57NiBEjMDc3z7FyCvmTaHHNY00rleTX3rVQKGDL5Sd8s/dWllpe79+/L7dytmzZUmc2YAMDA+bNm6cT1J0+fZp27drh6enJ4cOH6datG3v37gWgePHi9OzZ872v4fWSOgAhISFp0lNv+5DxGtWrV6d27doA3LhxgxEjRvDs2TM0Gg179uzh888/l/f9/fff+fTTT1Eq//tuxszMjJEjR+Ll5YWdnd07n//ZywR6rrrEtcAozE2VbBpR/52CVkEQBEEQBH1WvXp1GjRooPPzemicq6sr5cqVy5NypR7mJuRfInD9CHSqUZpFvWpioIBt3kFM2vEvas3bxzakXlM19Vqrr5UoUYJixYrpbDtx4gRdu3alY8eOeHp6ytuXLVumE3y+q+bNm8tB8u+//y53xwVITk7mhx9+kN+3atXqvc+jUCj48ccf5XOtXbsWOzs7TExM6NGjB2FhYXJ5Bg0axPbt2wkJCeGff/7h/PnzhISEsHr1amxsbN7pvJIkcflxBD1+u8jD0FhszU3ZOcadeo7F3/taBEEQBEEoGOKT1B/FT057s6vwm7777jt5ThQHBwe5q/H58+flfbZu3UqDBg0wMzOjaNGitGvXDh8fH518BgwYgKWlJT4+PrRu3ZqiRYvKK3oI+ZvoKvyR6F7bHhOlIV9su8G+f5+RqNaypI8rxsr0v1uwt7eXXx87dkyeOfG1y5cvExkZCUC1atWIjIxM0xpqZWXFsmXL6Nu37weVvWzZsnzyySfs27eP0NBQqlWrxqBBg7C0tGTbtm3cv38fSAmme/fu/UHnat++PevWrWPUqFHy8jqp16ht1qwZe/bskbtElyhRgiZNmrzXueIS1ez7N5iNlwLxe54yKVQF6yJsGOaGneX7B/qCIAiCIBQcVWcey+siABAwv2PmO2VCo9GgVusGwak/f77NmDFjiIqKYuXKlezfv19edrBatWoAzJkzh1mzZjFixAhmzJhBYmIiCxYsoHHjxly9epXKlSvLealUKj755BPGjh3L9OnTdT4LCvlXgQxc1Wo1hw4d4ty5c6jVapydnenTp0+m/fJzWscapTBWGvDZ5usc8X1O0qZrrOhfG1OjtOuA2tra0q5dO44ePUpgYCADBw7kl19+oXTp0ly4cIFhw4bJ+3711VcMHDgQT09Prly5giRJuLq60r1792yban3FihX8+++/BAQE8PLlS53xt5Ay5nTz5s3ZMnZj8ODBtGzZkj/++IMTJ06QkJBA+fLlGT58OO3atfvgKbjvv4hhk1cge64HE5uY8nA2URrQtZYd09pXoVhh4/fOOywsDI1Gg6GhYZbXiRWEvCbqraCPRL0VhOzXoEGDNNuSk5OzFLza29vLS6q4urrqNMIEBAQwZ84cJk6cyP/+9z95e+vWralQoQJz5sxh8+bN8vbExER++OEHBg4c+CGXI+iZAhe4njlzhiFDhhAYGKizfdKkSfzwww9MnDgxT2cgbF3VhjWD6zJq41VO+YUy8v/au/O4qKr+D+CfAYZhXwQUBsSFREBQs3BX7FHRFB63/ImFCz5pkSW2uJuIYg9alrb4qE8pJopSaIuSZaJmhYjiBoobIggBArIzwyzn9wfP3LjMsAkyM/p9v17zEu4598y5d74c75l77jlfn8fOWc/D1Fi98/r+++/j119/hVwux4EDB3DgwAFYWFjwhhH37t0bM2fOhFAoxEsvvdSmZ1mbIhaL8eeff2LJkiWIi4uDTCbj0kaMGIFNmzZpbOweVdeuXbFu3TqsW7euXcqrlSvxc3o+9p69h3N3S7jtPezNETy4G14a4AJrM2Gb3ycvLw8ymQxCoZAupIjeoLgl+ojiluiKa+saX1KwoerqGm4dVzMz3Rvd9fXXX8PT05O3raV3XJty7NgxKBQKzJ49m3dH19TUFCNGjMCpU6fU9pk6dWqb35fol6eq45qUlITx48dDKpWqpVVVVeGdd96BTCbD0qVLtVC7v410d0B0yEDMi07BmVtFmLP7HHbN9YWFiP9xDR06FAcOHEBwcDAkEgkA/rOvnp6e+Omnn9r0/GprODk5ISYmBp988gmSk5Mhk8ng5eXFG9qhC2rlStx5UImM/HJk5Fcg468KXM0tQ0lV3dBjQwMBxnp2QfDgbhjqZteiWZ4JIYQQQjQxM27F5bbc8O+Oa2v26yCenp54/vnn273cgoICAHV3YjUxNuaPdrOysoK5uXm714PoNt37i3hMGGN46623uE7r8OHD8c4778DGxgYxMTHYtWsXgLoHx2fPng1HR+3OFju4px32/msQ5u46h3N3SxD8ZTL2zBsIa1P+Xb9p06Zh8ODB2LFjB44ePYqKigp07doVs2fPxowZM9ptKHBrODg4ICAgoM3llEtkuFdUDUMDAUyEBjA1NoSJkSFMhIYQGRmodShlCiUqJXJUSuWoqpVzP1dK5bhXXI0b+RXIyC9H5oMqyDXM3NzZUoSgga6YObArnKwfT2e/W7duUCqVbR7OTEhHorgl+ojiluijhh20p4W9vT2AuqUNNa380HA0JK3P/HR6ajquqampuHDhAgDAx8cHiYmJEArrOoEvvPACLCws8Omnn0ImkyE6Oppbd1Sbnutmi/3zB2PWrmRcyinFy/89i11zfdHFit8ZdXZ2btdhsx1NKlfgTmEVbhSU40Z+JW7kl+NGfgXyyiRN7icyMoCJ0BCGBgJUSuWolTc9E3N9liZG8HS0Qm9HS/R2tISnkyX6uthAaPh4L3BsbGwea/mEPA4Ut0QfUdwSfdQew251mUgkAgDU1NTwto8fPx6Ghoa4c+cOJk2apI2qET3wZP911JOamsr9HBISwnVaVRYsWMBNKFQ/r7b5uFgjdv5gzPoqGel55Ri+MRHjvZ0QPMgVA3t00so3TowxFJRLYWsuhMhI/dnbplTXypGWW44r90tx+X4ZMv4qR2ZRVaNr19pbiCAQABKZAhKZAjLF3/mkciWkGjqrJkIDWIiMYCEygvn/Xo5WJvBwsoSHoyU8HK3gZG1C39YRQgghhHQgHx8fAMCWLVsQHBwMoVAIDw8PuLm5ITw8HMuXL8ft27cxbtw42NjYID8/H+fOnYO1tTXWrFmj5doTbXtqOq71OykNp/FuuK2jOzQ5OTlIT0+HgYEBnn32WbVJJDydrHBgwRAs/fYyUrNL8ePlPPx4OQ+9OlvglUGumPqcC6xM2j5xUEv8cbsIG49l4Mr9MhgIAGdbU3S3M0cP+7pXd3tz9LAzh4utKRiAG/kVuJRTiiv3S3HlfhluFlRAUx/V0sQIHv+7+9m7iyV6O1qhdxdLtQmRFEoGiUyBmv91ZCUyJRRKBgsTI1gYG8FcZAijx3zXlBBCCCGEtN7o0aOxdOlS7N27F9u3b4dSqcSZM2cwfPhwvP/++/D29sbWrVuxb98+SKVSODk5wdfXt10eQSP6T8AY03yrS0cplUpUVFTwtllaWjb7DMuVK1fQr18/AIC7uzsuXbrEm7Ro/vz5+PLLLwEAH330Ed599912rrm69PR0LFu2DAkJCVB9DEKhENOnT8fGjRt504SrpOWWYV/yPXx3MQ81sro1q0yFhpjUX4xXBnWDj8vjWdInLbcMG49l4MytohblNzIQwMBAoHH4bhcrEfq52KBfVxt4ia3g4WgJR6un4w6oXC7nJl140ocDkScHxS3RRxS3pKPl5ORwy708KsYYF7dPw3UR0Q+Nxfaj9sse1VPTcQXqZuFNSkoCAPTr1w9hYWHc5EyHDh0CUDf2/v79+9xD4k3JyMjAwYMHUVhYCDs7O0ybNo3rHDfn/Pnz+Mc//qF2LCrOzs74/fff0b17d43p5RIZvruYi5iz93Cz4O+ZhL2drTDsGXs852qLAd1sYW8halF9GpNVVIWPfrmBI1f+AgAIDQV4ZVA3LHzhGTDGcLeoClnFVcgsqkJWURWyiqqRVVzFDeG1MjFCv6426OtizXVWGz6j+zS5fPkytzxDS2OFEG2juCX6iOKWdLT26LhWV1fXWw7HrJ1qRkjbUMf1EbXlBF28eBEjRoxAVVVVo3m++OILvPHGG02WU1ZWhpCQEBw+fFgtzd/fHzExMU2uGadQKNC7d2/cuXMHQF0ndebMmZBIJNi/fz9KSurWEf3HP/6BEydOIC8vDwcPHsT9+/dhbW2NgIAADBgwAEDdN3Pn7z1EzNl7+OlqPmoV/Duc3ezMuE7sc91s4d7FEoYtWN6lsEKCT0/cwoFzOZArGQQCYHJ/Z7w9xh2udk03pEolw1/lEigUDF07mdI3hvXQhRTRRxS3RB9R3JKORh1X8qSijusjausJOn/+PEJCQpCWlsbbbm9vj02bNiEkJKTJ/aVSKV544QXuzq0mPj4++PPPP2FhYaEx/ciRIwgMDAQAPP/88zh9+jTXOBUWFsLX1xfZ2dkAgBkzZiA+Pl7tudxRo0YhJiaGN2V4caUUiRmFSM0uReq9h7hZWIGGn66FyAg9HcxhYmQIkbBuVl4ToSFMjFQ/G6BGpkD8hVxuKPKo3g5YOs4DXmKrJs8Nad7du3chl8thZGSEHj16aLs6hLQIxS3RRxS3pKO1R8dVKpVyHVfVDLyEaBt1XB9Re5wgxhjOnDmD3377DTKZDF5eXpg0aVKL1jzdsWMHXn/9dQCAra0tVq1aheHDhyMlJQWRkZHcAsoffPABVqxYobGMsLAwbgbj+Ph4TJ06lZf+8ccft+gZ2x49eiA5ObnRu7tlNTJcyinFhXsPcTH7IS5ml6JSqj4xVWOedbXBsvEeGNzTrsX7EEIIIYQ8jdqj40qILtKVjutTOVuBQCDAyJEjMXLkyFbvu2PHDu7nH374AcOHDwcADBo0CKNGjULfvn3BGMPOnTuxfPlyjcNkq6uruZ9dXV3V0hsGhkgkwjvvvAN/f39cu3YNUVFRyMnJwd27d/HBBx/gk08+0VhXa1Mh/Nwd4Ode17FVKBluFlQgr7QGEpmyblZeuYL7WSpTQCJXolauxFA3O4z16kLDfAkhhBBCCCFa90R2XCUSCc6cOYOHDx/C0dERQ4cObZcZBRljuHz5MgDAw8OD67SqeHt7Y8iQIfjzzz+RlZWF0tJS2NraqpXj5ubG/Xz48GE8//zzvHTVRFEqX331FV555RUAdUOEAwIC4O7uDqlUit27dyMqKqpFw0kMDQTwdLKCpxMN+SWEEEIIIYTojydqwUu5XI6IiAi4uLjA398fM2bMgJ+fH3r27IkvvvgC7TEqWnUHUjXNvqY6NMzb0KxZs2BoaAgA+PDDD7FlyxZUVFSgqKgIq1evxoEDB7i8NjY2CAoK4u3v6uqKiRMnAqibKCozM7NtB0UIIYQQQgghOuyJ6bgqFAoEBQVh7dq1KC4u5qXl5OTgzTffxHvvvdem9xAIBPD19QUA3L59Gz///DMvPTk5GefOnQNQt1astbXmNVWdnZ3x1ltvAQBkMhnefvttWFlZwcHBARs2bODlVa3n1ZCePZpM/iczMxM3b96kLxuIXqG4JfqI4pboI6lUColEAqlUqu2qEKJznpiOa3R0NOLj4wEABgYGCAoKwsaNG7k7k0DdpEeJiYlteh/VxEwAMG3aNKxYsQIJCQmIiIjAuHHjuLTQ0NAmnw/98MMPMX/+fI1pAoEAHh4eAOruqMbGxvLSs7KykJCQAKDujmzPnj0f+XhIx6qoqEB5eXmj6/cSoosobok+orgl+kihUHAvQgjfEzOr8IABA7jnT3/44QduuRkA+PTTTxEWFgYAmDx5ssb1V1tKLpdj4sSJ+OWXXxrNM2TIECQmJrZoluLU1FTs3LkTly9fhoGBAYYMGYLXXnsNt2/fxoQJEwAAxsbGCAsLw7hx45Ceno5NmzYhNzcXAPD222/j448/fuTjIR2L1hUk+ojilugjilvS0WgdV/Kk0pVZhZ+IjqtcLoe9vT0A4Nlnn0VqaiovXSaTQSwWo6ioCFZWVigrK2vRe5WXlyMrKwsikQhubm7cBE81NTUICwvD7t27ec+0GhgYYMaMGdi+fTusrNo2ARJjDEFBQYiLi2s0j5ubG5KTk2FnR8vV6Iv636CqnnMmRNdR3BJ9RHFLOlp7dFzrX5br0soO0dHRCAkJAQCcPHkSo0aN4qUzxtCrVy/cuXMHfn5+OHXqVMdXkgAA8vLysHPnTkyePBn9+/dvlzJ1peP6RAwVlkgk3M9OTk5q6UKhkFvrtH7exty+fRuzZ89G586d0a9fP3h4eKBbt25Yv349ampqYGpqip07dyI7Oxuff/451qxZgy1btiAzMxP79+9vc6cVqGusYmJi8NZbb0EoFKqljx49Gr/99ht1WvWMoaEh9yJEX1DcEn1EcUv0kUAg4F5ZWVlYuXIl/Pz8MGzYMCxYsAApKSlarZ+lpSW++uorte2nT5/GnTt3YGlpqYVakfry8vIQERGBS5cuabsq7e6JuONqamoKBwcHlJeXw9TUFFlZWejcuTOXfvXqVfTt2xcA0KdPH6SlpTVa/vnz5zF27FiUlpZqTB82bBh+/vlnmJubt8PRtEx+fj7i4uKQm5sLKysrBAQE0LAnQgghhBAd0h53XFU++eQTLFmyROOzrnPmzMF///tfjTc2HhfVHddXX30V+/btQ35+Pu9GzaxZs3Dnzh2Ul5fD3t5eb++41tTUwMTERKfudrfW+fPn4evri927d2Pu3LntUibdcW1HRkZGmDNnDoC6gJs4cSJ+++03VFZW4ujRo5gyZQqX91//+lej5UilUkyZMoXrtNra2iI4OBjjx4/nPoA//vgDS5cufYxHo87R0RGLFi3Cxo0bsWrVKuq0EkIIIYQ8oaKjo/HOO+80OkHTnj17uNUpOtrMmTMBgDdxaFlZGeLj4zFv3jy1/LW1tYiMjISHhwdEIhEcHBwQEhKCBw8e8PIdPHgQ/v7+cHJygqmpKTw9PbF8+XJUVVXx8mVmZiIoKAhisRgikQhdunTB6NGjeXcXBQIB1q5dq1aX7t278zpy0dHREAgE+OWXXzBv3jw4ODjAzMyMm9H51q1bePnll9G5c2eIRCJ4enriiy++4JV56tQpCAQC7N+/H8uWLYOTkxMsLCwQGBiIgoICVFRUYMGCBbC3t4e9vT1CQkJQWVnJK4Mxhm3btqF///4wNTWFra0tXnrpJbUZ0UeNGgVvb2+kpKRgxIgRMDMzQ8+ePREVFQWlUsnVR7UCSkhICHf3XnU+WnL+dNkT0XEFgCVLlnDPuZ4/fx5+fn6wtLREQEAA7ty5AwDo1asXXn311UbLiI+Px/379wEAgwYNwt27d7F371789NNPOHv2LExNTQEAu3fvbvSOLCFNefjwIYqLi/Hw4UNtV4WQFqO4JfqI4pboo5qaGqxatYr7ffHixcjNzUV5eTk+//xziEQiAMDOnTu569uOZGVlhZdeegm7du3itsXGxnLzvNSnVCoxadIkREVF4eWXX8bRo0cRFRWF48ePY9SoUaipqeHy3rp1CxMmTMBXX32FY8eOYfHixYiLi+NNtgoAEyZMwIULF7Bp0yYcP34c//nPf/Dss8+26bp83rx5EAqF2Lt3L7799lsIhUJcu3YNvr6+SEtLw+bNm3HkyBFMnDgRixYtQkREhFoZK1euRGFhIaKjo7F582acOnUKM2fOxLRp02BtbY3Y2FgsXboUe/fuxcqVK3n7vvbaa1i8eDHGjBmD7777Dtu2bUN6ejqGDh2KgoICXt78/Hy88sorCA4Oxg8//IAXX3wRK1asQExMDABgwIAB2L17NwBg9erVSEpKQlJSEtf/eRznr0MxPaNQKFhpaSnvpVAoGGOMXbp0iXXt2pUBUHv5+Piwe/fuNVl2UFAQlz8xMVEtPTQ0lEuPj49/LMdHnmyXLl1iKSkp7NKlS9quCiEtRnFL9BHFLelo2dnZbS4jPj6eu9YMCAhQS4+MjOTSV69e3eb3a6ndu3czACwlJYWdPHmSAWBpaWmMMcZ8fX3Z3LlzGWOM9enTh/n5+THGGIuNjdV4zZySksIAsG3btml8L6VSyWQyGTt9+jQDwC5fvswYY6yoqIgBYFu2bGmyrgBYeHi42vZu3bqxOXPmqB3T7Nmz1fKOGzeOubi4sLKyMt72N998k5mYmLCSkhLGGOPORWBgIC/f4sWLGQC2aNEi3vbJkyezTp06cb8nJSUxAGzz5s28fDk5OczU1JQtXbqU2+bn58cAsOTkZF5eLy8vNm7cOO531fndvXs3L19Lz58mjcV2U/2yx+GJuOOq+sapX79+uHnzJvbu3YspU6bAz88PM2bMwPfff4/U1FS4uro2WU55eTn3s6enp1q6l5eXxryEEEIIIYS0Vf3hoVOnTlVLr79NG3dcAcDPzw9ubm7YtWsXrl69ipSUFI3DhI8cOQIbGxsEBgZCLpdzr/79+8PR0ZH3HGxmZiZefvllODo6wtDQEEKhEH5+fgCA69evAwA6deoENzc3fPjhh/j4449x8eJFbohsW0ybNo33u0QiwYkTJzBlyhSYmZnx6j5hwgRIJBKcPXuWt09AQADvd1U/YuLEiWrbS0pKuOHCR44cgUAgQHBwMO99HB0d0a9fP7VnhR0dHTFw4EDetr59++LevXvNHufjOn8d6YnouA4fPhzbt28HAJiYmCA4OBiHDh3CqVOncODAAfzzn//klrJpiouLC/fz8ePH1dLrr91aPy8hLeXs7AxXV1c4OztruyqEtBjFLdFHFLdEH1lYWHA/qx5fq6/+NtUjbB1NIBAgJCQEMTEx2L59O9zd3TFixAi1fAUFBSgtLYWxsTGEQiHvlZ+fj6KiIgBAZWUlRowYgeTkZERGRuLUqVNISUnBoUOHAIAbUiwQCHDixAmMGzcOmzZtwoABA+Dg4IBFixapTRDUGg1XJCkuLoZcLsdnn32mVu8JEyYAAFd3lU6dOvF+NzY2bnK7apWTgoICMMbQpUsXtfc6e/as2vtoWk1EJBLxhl035nGdv47UfG9ODygUCoSGhsLZ2VltLHxrzJo1Czt37gQAvPfee3B0dMSYMWNQU1ODLVu24McffwRQ959hw/WrCGkJ1XPYhOgTiluijyhuiT4aO3Ys9/O2bdvw6quvch0rqVSKyMhILn3MmDEdXj+VuXPnYs2aNdi+fTs2bNigMY+9vT3s7Oxw7NgxjemqpXMSExORl5eHU6dOcXdZAWh87rJbt27ccjw3b95EXFwc1q5di9raWu4mlkgk4iZYqq+4uFhjPRrOIGxrawtDQ0PMmjULCxdSwvLEAAAVnUlEQVQu1LhPjx49NG5vLXt7ewgEApw5c4Z7frk+TdvaoiXnT5c9ER1XlYiICAQEBDzyFNbDhg3D6NGjceLECRQWFsLf3x/29vaoqqrifZOxevXqFt3BJYQQQgghpKXc3NwQEBCAI0eOID8/H56enggODoaVlRViY2ORlZUFABCLxRqHEncUZ2dnLFmyBBkZGdzKHg0FBATgwIEDUCgUGDRoUKNlqa7bG3bSduzY0WQd3N3dsXr1asTHxyM1NZXb3r17d1y5coWXNzExUW0238aYmZnhhRdewMWLF9G3b1/uLunjEBAQgKioKOTm5uL//u//2qVM1Xls7i5sY+dPl+lE76uyshKrV69GXFwcSkpK4OHhgeXLlyMoKKhF+3t7e+P06dO4cOECrl+/znsWtTUEAgHi4uIQEBCApKQkAOpDAVatWoXXXnvtkconhBBCCCGkKdu3b8ewYcNw7949lJWVqS3BYmpqitjY2Ha/G9daUVFRTaYHBQVh3759mDBhAsLCwjBw4EAIhULcv38fJ0+exKRJkzBlyhQMHToUtra2eP311xEeHg6hUIh9+/bh8uXLvPKuXLmCN998E9OnT0evXr1gbGyMxMREXLlyBcuXL+fyzZo1C++//z7WrFkDPz8/XLt2DZ9//jmsra1bfGxbt27F8OHDMWLECISGhqJ79+6oqKjA7du38eOPPyIxMbF1J6sRw4YNw4IFCxASEoLz589j5MiRMDc3x19//YXff/8dPj4+CA0NbVWZbm5uMDU1xb59++Dp6QkLCwuIxWIUFRW16PzpMp3ouE6dOhUpKSmIioqCu7s79u/fj5kzZ0KpVOLll19udv/Ro0fj9OnTAOoWyH3UjitQNxb99OnT+Pbbb/Hll18iIyMDIpEII0eOxMKFC7m1kQghhBBCCGlvzs7OOHv2LJYuXYqDBw+itraWSxszZgw2btyIAQMGaLGGLWNoaIgffvgBW7duxd69e/Hvf/8bRkZGcHFxgZ+fH3x8fADUPbd59OhRvPvuuwgODoa5uTkmTZqEgwcP8o7T0dERbm5u2LZtG3JyciAQCNCzZ09s3ryZt67tkiVLUF5ejujoaHz00UcYOHAg4uLiMGnSpBbX3cvLC6mpqVi/fj1Wr16NwsJC2NjYoFevXtxzru1lx44dGDx4MHbs2IFt27ZBqVRCLBZj2LBhahMxtYSZmRl27dqFiIgI+Pv7QyaTITw8HG+88UaLzp8uEzDGmDYrkJCQgIkTJ3KdVRV/f3+kp6cjOzsbhoaG3HalUqn2AHFYWBj27NkDAPjjjz8wdOjQjqk8Ia10+fJlyGQyCIVC9OvXT9vVIaRFKG6JPqK4JR0tJycHXbt2bVMZ1dXVYIxBIBDAzMwMRUVFOH/+PORyOby8vNCzZ892qi0hLddYbGvql1laWsLA4PHM/6v1WYUPHz4MCwsLTJ8+nbc9JCQEeXl5SE5ObraMhIQEAEDnzp3x3HPPPZZ6EkIIIYQQ0pHs7e0xfvx4BAQEUKeVPPW0PlQ4LS0Nnp6eapMd9e3bl0tv7g6qag2ihQsXcuP9pVIpMjIyANTNDtZwDddbt26huroaANS+iS0qKkJubi4AwNXVFba2tlyaQqFAWloagLpvFBo2Infv3uXWeO3Tpw/vuEpLS7l1lsRiMRwcHHj7XrlyBYwxmJqawt3dnZeWk5ODkpISAEDv3r1hYmLCpVVWVnJreXXu3FltWu9r165x3zo3HEb9119/obCwEEDdmPj607BLJBLcuHEDQN0Q6obftNy8eRM1NTUQCATc56Xy4MED5OXlAaibwczGxoZLk8vlSE9PBwBYWVmpzcyWmZnJfXvj7e3Nu+P+8OFDZGdnA6gbStNw1kjV8xBmZmbo1asXLy07OxsPHz4EAHh4ePCeDSkvL8fdu3cBAF26dIGjoyNv3/T0dMjlcohEInh4ePDS8vLy8ODBAwDAM888A3Nzcy6turoat27dAlA3FEa1HpgqLm7cuAGJRAJDQ0N4e3vzyi0sLMRff/0FoG6igfrPZtTW1nLrmllbW6N79+68fe/cucNNQuDj48P75qu4uJibTt/FxYU3tbpSqcTVq1cB1E3J7+bmxis3KysLZWVlAOrWIqs/YUFZWRk3aYSTkxM6d+7M2zctLQ0KhQImJibo3bs3L+3+/fvcbH+9evWCmZkZl1ZVVYXbt28DABwcHCAWi3n7ZmRkQCqVwsjICH369OGl5efno6CgAEDdDIBWVlZcGrURf2uujZDL5RAIBGoTVFAb8bf2aiMaLrVGbUSdR2kjVO2tRCLB5cuXqY2g6wgAj7eNqKioQHV1NbecSX01NTXcndSGy9jU1tZCLpcDqJtvRfUC6uJFNUOukZGRxnZYqVRqLFcmk0EmkwGoW4alfiwplUpuSRZDQ0O152VV5QJ1z9TWn/hULpdzw5cblssY4yYFMjAw4MUZUPd3pVAoANQtYVm/7alfblPnUFO59c+hSCTifebNncOmPpv657Bhua05h/XbrIblNnUONZVb/xw29dloOoeqNqu5c9jws1EoFNzfhqY2oqNoveNaXFys8Rsk1bpHjU1d3ZC/vz9WrFjB/c4Y4wJC9SHUJ5fLufSGlEoll6ZpYd6WlttwFHb9clUB17BcxphakKnyt6Xcxo61frkNj7X+OdRUrupYNc3i3NJydeWzae5YZTIZ5HK5xqEPTX02Dctt+J+g6rPR9J5NlVv/WFv7mbf0HGrav36dGmruHNbW1kKpVPIafU3lPspno/rbedRydSUOdbWNUJXXcD1MaiP45bZHG6GpXGojHu0cqtrbq1evQiqVUhtB1xFcWY+rjaj/aqix7fXTAfXOUf20pspty3u2dt/6aY3t+yjlNrev6vNqS7mNpbX1WFtbbkv2beo966c3/Pt5XJ95U3/LHUXrHVdAff2klqapLFiwAO+++y6voRYIBNzvmpauMTIy0tiwA3XfQqjSNF2EtLTchnWvX66m/5iFQiEYYxrLNTQ0bFO59f9trNyGx1r/HGoqV3Wsmj6jlparK59Nc8eqOs7mzuGjlKtQKDSmNVWuat+mym3rOWzuWBtq7liNjY2hUCgeyzlUKpWt/rvRxTikNkK9XF35bKiNUC+X2ghqIxqW+7S3EQ3vljZM17Rfw/Sm0hort6n3bGu5je3X3L6PUm5z+xoYGGjsqLWm3Na+Z0uPtbFydbFOLSlXU1pTf8sdReuTMw0ZMgQKhQLnzp3jbU9PT4e3tzd27NiBBQsWcNs7+iFgQgghhBBCmtMekzMRootocqb/8fHxwfXr19WGZKieoWn4TA8hhBBCCCG6SMv3gwhpd7oU01rvuE6ZMgWVlZWIj4/nbd+zZw/EYjEGDRqkpZoR0v6ys7ORmZnJTQxBiD6guCX6iOKWdDSRSMRNqvOopFIp9yJEF9TU1KhNEKUtWn/G9cUXX8TYsWMRGhqK8vJyPPPMM4iNjcWxY8cQExOj1XHUhLS3hw8fcjMzNpyhkhBdRXFL9BHFLelodnZ2yM3NhZOTU6PP2DZHNSFeS+Z4IeRxk8lkKCoqUpucUVu03nEFgEOHDmHVqlVYs2YNSkpK4OHhgdjYWAQFBWm7aoQQQgghhDTL0NAQDg4OKCws1DhjcUtUVFRwHVdLS8t2riEhrWNgYAAHBweduZGo9cmZWosmZyL6TLUkg0Ag0JlhF4Q0h+KW6COKW6KPKG6JPunofplO3HEl5GlB/wkRfURxS/QRxS3RRxS3hDSOblMSQgghhBBCCNFp1HElhBBCCCGEEKLT9G6osKZHch/1AXhCOlr95wBo0gWiLyhuiT6iuCX6iOKW6BNNfbDHOX2S3k3OJJfLUVVVpe1qEEIIIYQQQgipx9zcHEZGj+feKA0VJoQQQgghhBCi06jjSgghhBBCCCFEp1HHlRBCCCGEEEKITtO7Z1yVSqXag8ACgQACgUBLNSKEEEIIIYSQpwtjTG0yJgMDAxgYPJ57o3rXcSWEEEIIIYQQ8nShocKEEEIIIYQQQnQadVwJIYQQQgghhOg0veu4VlZWYvHixRCLxTAxMUH//v1x4MABbVeLECQmJmLevHnw8PCAubk5nJ2dMWnSJFy4cEEtb2pqKsaMGQMLCwvY2Nhg6tSpyMzM1EKtCVH35ZdfQiAQwMLCQi2NYpfokt9//x0TJkyAra0tTE1N0atXL6xfv56X59dff8WQIUNgZmYGe3t7zJ07F4WFhVqqMXnaXbx4EZMnT4ZYLIaZmRk8PDywbt06VFdX8/JRW0u0paKiAkuXLoW/vz8cHBwgEAiwdu1ajXlbE6efffYZPDw8IBKJ0KNHD0REREAmk7WqbnrXcZ06dSr27NmD8PBw/PTTT/D19cXMmTOxf/9+bVeNPOX+85//ICsrC2FhYUhISMDWrVtRWFiIwYMHIzExkcuXkZGBUaNGoba2FnFxcdi1axdu3ryJESNG4MGDB1o8AkKA3NxcvPfeexCLxWppFLtEl+zfvx9+fn6wtrbG119/jYSEBCxbtow3Ucjp06fx4osvokuXLvj++++xdetW/Prrrxg9ejSkUqkWa0+eRteuXcPQoUORlZWFLVu24MiRIwgKCsK6deswc+ZMLh+1tUSbiouLsXPnTkilUkyePLnRfK2J0w0bNiAsLAxTp07Fzz//jDfeeAMffPABFi5c2LrKMT1y9OhRBoDt37+ft33s2LFMLBYzuVyupZoRwlhBQYHatoqKCtalSxc2evRobtv06dOZvb09Kysr47ZlZWUxoVDIli5d2iF1JaQxAQEBLDAwkM2ZM4eZm5vz0ih2ia64f/8+Mzc3Z6GhoU3m8/X1ZV5eXkwmk3Hb/vjjDwaAbdu27XFXkxCeVatWMQDs9u3bvO0LFixgAFhJSQljjNpaol1KpZIplUrGGGMPHjxgAFh4eLhavpbGaVFRETMxMWELFizg7b9hwwYmEAhYenp6i+umV3dcDx8+DAsLC0yfPp23PSQkBHl5eUhOTtZSzQgBOnfurLbNwsICXl5eyMnJAQDI5XIcOXIE06ZNg5WVFZevW7dueOGFF3D48OEOqy8hDcXExOD06dPYtm2bWhrFLtElX375JaqqqrBs2bJG8+Tm5iIlJQWzZs2CkZERt33o0KFwd3enmCUdTigUAgCsra15221sbGBgYABjY2Nqa4nWtWSZ0dbE6bFjxyCRSBASEsIrIyQkBIwxfPfddy2um151XNPS0uDp6cn7DwgA+vbty6UTokvKysqQmpqKPn36AADu3LmDmpoaLmbr69u3L27fvg2JRNLR1SQEhYWFWLx4MaKiouDi4qKWTrFLdMlvv/2GTp06ISMjA/3794eRkRE6d+6M119/HeXl5QD+viZoLGbpmoF0tDlz5sDGxgahoaHIzMxERUUFjhw5gh07dmDhwoUwNzentpbohdbEqaqt9fHx4eVzcnKCvb19q9piveq4FhcXo1OnTmrbVduKi4s7ukqENGnhwoWoqqrCqlWrAPwdo43FMWMMDx8+7NA6EgIAb7zxBnr37o3Q0FCN6RS7RJfk5uaiuroa06dPx4wZM/Drr79iyZIl+PrrrzFhwgQwxpqNWbpmIB2te/fuSEpKQlpaGtzc3GBlZYXAwEDMmTMHW7duBUBtLdEPrYnT4uJiiEQimJuba8zbmrbYqPksuqWpW9fN3dYmpCO9//772LdvHz777DM899xzvDSKY6JL4uPj8eOPP+LixYvNxh/FLtEFSqUSEokE4eHhWL58OQBg1KhRMDY2xuLFi3HixAkub2NxSfFKOlpWVhYCAwPRpUsXfPvtt3BwcEBycjIiIyNRWVmJr776istLbS3RBy2N0/aKZ73quNrZ2WnslZeUlADQ3OsnRBsiIiIQGRmJDRs24M033+S229nZAdA8OqCkpAQCgQA2NjYdVk9CKisrsXDhQrz11lsQi8UoLS0FANTW1gIASktLIRQKKXaJTrGzs8OtW7cwbtw43vYXX3wRixcvRmpqKvr16weg8ZilawbS0ZYvX47y8nJcunSJu/s0cuRI2NvbY968eZg9ezYcHR0BUFtLdFtrrgns7OwgkUhQXV0NMzMztbwNb+40Ra+GCvv4+OD69euQy+W87VevXgUAeHt7a6NahPBERERg7dq1WLt2LVauXMlLc3Nzg6mpKRez9V29ehXPPPMMTExMOqqqhKCoqAgFBQXYvHkzbG1tuVdsbCyqqqpga2uLV155hWKX6BRNz1UB4JbCMTAw4K4JGotZumYgHe3SpUvw8vJSGzLp6+sLANwQYmpria5rTZyqnm1tmDc/Px9FRUWtaov1quM6ZcoUVFZWIj4+nrd9z549EIvFGDRokJZqRkid9evXY+3atVi9ejXCw8PV0o2MjBAYGIhDhw6hoqKC256dnY2TJ09i6tSpHVldQuDo6IiTJ0+qvcaNGwcTExOcPHkSkZGRFLtEp0ybNg0A8NNPP/G2JyQkAAAGDx4MZ2dnDBw4EDExMVAoFFyes2fP4saNGxSzpMOJxWKkp6ejsrKStz0pKQkA4OLiQm0t0QutidPx48fDxMQE0dHRvDKio6MhEAiaXCtWTYsXztERY8eOZba2tmznzp0sMTGRzZ8/nwFgMTEx2q4aecp99NFHDAAbP348S0pKUnupXL9+nVlYWLCRI0eyhIQEdujQIebt7c3EYjErLCzU4hEQ8jdN67hS7BJdEhgYyEQiEVu/fj07fvw4+/e//81MTExYQEAAl+fkyZPMyMiITZkyhR0/fpzt27ePde3alXl7ezOJRKLF2pOn0ffff88EAgEbPHgwO3jwIDtx4gTbsGEDs7CwYF5eXkwqlTLGqK0l2peQkMC++eYbtmvXLgaATZ8+nX3zzTfsm2++YVVVVYyx1sVpZGQkEwgEbOXKlezUqVPsww8/ZCKRiM2fP79V9dK7jmtFRQVbtGgRc3R0ZMbGxqxv374sNjZW29UihPn5+TEAjb7qO3/+PBs9ejQzMzNjVlZWbPLkyWoLkhOiTZo6roxR7BLdUV1dzZYtW8a6du3KjIyMmKurK1uxYoVah/SXX35hgwcPZiYmJqxTp05s9uzZrKCgQEu1Jk+7xMRE5u/vzxwdHZmpqSlzd3dn7777LisqKuLlo7aWaFO3bt0avZ69e/cul681cbp161bm7u7OjI2NmaurKwsPD2e1tbWtqpeAsf89EEIIIYQQQgghhOggvXrGlRBCCCGEEELI04c6roQQQgghhBBCdBp1XAkhhBBCCCGE6DTquBJCCCGEEEII0WnUcSWEEEIIIYQQotOo40oIIYQQQgghRKdRx5UQQgghhBBCiE6jjishhBBCCCGEEJ1GHVdCCCGEEEIIITqNOq6EEEIIIYQQQnQadVwJIYQQQgghhOi0/wchfWqJzQeS2AAAAABJRU5ErkJggg==\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "zs = gen_data(x0=5., dx=2., count=100, noise_factor=10)\n", "data = g_h_filter(data=zs, x0=100., dx=2., dt=1., g=0.2, h=0.02)\n", "plot_g_h_results(measurements=zs, filtered_data=data)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The filter starts out with estimates that are far from the measured data due to the bad initial guess of 100. You can see that it 'rings' before settling in on the measured data. 'Ringing' means that the signal overshoots and undershoots the data in a sinusoidal type pattern. This is a very common phenomena in filters, and a lot of work in filter design is devoted to minimizing ringing. That is a topic that we are not yet prepared to address, but I wanted to show you the phenomenon." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Exercise: Extreme Noise" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Rerun the same test, but this time use a noise factor of 100. Remove the initial condition ringing by changing the initial condition from 100 down to 5." ] }, { "cell_type": "code", "execution_count": 28, "metadata": { "scrolled": false }, "outputs": [], "source": [ "# your code here" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Solution and Discussion" ] }, { "cell_type": "code", "execution_count": 29, "metadata": { "scrolled": false }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "zs = gen_data(x0=5., dx=2., count=100, noise_factor=100)\n", "data = g_h_filter(data=zs, x0=5., dx=2., g=0.2, h=0.02)\n", "plot_g_h_results(measurements=zs, filtered_data=data)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This doesn't look so wonderful to me. We can see that perhaps the filtered signal varies less than the noisy signal, but it is far from the straight line. If we were to plot just the filtered result no one would guess that the signal starts at 5 and increments by 2 at each time step. And while in locations the filter does seem to reduce the noise, in other places it seems to overshoot and undershoot.\n", "\n", "At this point we don't know enough to really judge this. We added **a lot** of noise; maybe this is as good as filtering can get. However, the existence of the multitude of chapters beyond this one should suggest that we can do much better." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Exercise: The Effect of Acceleration" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Write a new data generation function that adds in a constant acceleration factor to each data point. In other words, increment dx as you compute each data point so that the velocity (dx) is ever increasing. Set the noise to 0, $g=0.2$ and $h=0.02$ and plot the results. Explain what you see." ] }, { "cell_type": "code", "execution_count": 30, "metadata": { "scrolled": false }, "outputs": [], "source": [ "# your code here" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Solution and Discussion" ] }, { "cell_type": "code", "execution_count": 31, "metadata": { "scrolled": false }, "outputs": [ { "data": { "image/png": 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vPFxVVdWovKKiwuu2Yg4NYkVEREREpM24+OKLrZ9ffvllj7KCggL+9Kc/ARAaGsp5553Xom2T5qFrYqVF5OXl4XA4CAoKok+fPv5ujvhAmZlHmZlHmZlFeZlHmZmnOTLbvXs3Q4YMoW6Yc9ttt/HDH/6Q3NxcfvOb33DgwAEApk2bZl07K02na2KlzSsuLubYsWMUFxf7uyniI2VmHmVmHmVmFuVlHmVmnubIbNCgQcybN8/693vvvcf/+3//j8cff9wawPbp04dFixaddXvFPzSIFRERERGRNuXpp5/mpZdeIioqqlHZuHHj+Ne//kVsbKwfWibNQdOJpUVUV1fjdrux2WyEhob6uzniA2VmHmVmHmVmFuVlHmVmnubOrLKyko8++oisrCwiIiK45pprGDRoUDO0VPw5LtMgVkRERERERJpE18SKiIiIiIiI+ECDWBERERERETFGkL8bIO1DaWmpdX1Dp06d/N0c8YEyM48yM48yM4vyMo8yM48yE19oECstIjs7G7vdTnBwMCNGjPB3c8QHysw8ysw8yswsyss8ysw8ykx8oenEIiIiIiIiYgx9EystokePHjidTgIDA/3dFPGRMjOPMjOPMjOL8jKPMjOPMhNf6BY7IiIiIiIi0iS6xY6IiIiIiIiIDzSIFREREREREWNoECsiIiIiIiLG0MJO0iLS0tKs5dKHDBni7+aID5SZeZSZeZSZWZSXeZSZeZSZ+OKMvon917/+xXXXXUfXrl3p0KEDSUlJPPvssx7bfPrpp4wePZrw8HCio6OZNm0ahYWFjeqy2+0sWLCAfv36ERoaSkpKCkuWLDmzo5FWy+FwWP+JGZSZeZSZeZSZWZSXeZSZeZSZ+KLJ38S+++673HXXXdxyyy384Q9/IDIykszMTA4ePGhts2nTJq699lquv/56/vrXv1JYWMgTTzzB1VdfzbfffktoaKi17cyZM3nnnXd49tlnGTlyJJ988gkPP/wwJ06c4Mknn2yeoxS/Cw0NJSAggODgYH83RXykzMyjzMyjzMyivMyjzMyjzMQXTbrFzoEDB0hOTubuu+/mtddeO+l2o0aNory8nO3btxMUVDtO/vLLL7n00kt57bXXeOCBB4Da6QLDhg1j4cKFzJ4929r/vvvuY8WKFeTn5xMVFeVRt26xIyIiIiIi4l/G3GLnzTffpLy8nCeeeOKk2xw4cIAtW7Zw1113WQNYgEsuuYSBAweycuVK67FVq1bhdruZPn26Rx3Tp0+nsrKSNWvWNKV5IiIiIiIi0sY1aTrx559/TlRUFOnp6UyZMoXU1FSioqKYOnUqv/zlL+nUqROpqakADB8+vNH+w4cP54svvrD+nZqaSkxMDD179my0XV25L9LS0ujbty+dOnWyHquuriY9PR2Arl270qdPH4999u7dS0VFBQAjRozwKDt69CgHDhwAoE+fPnTt2tUqczqdVrs6duzIgAEDPPbNzs6mtLQUgCFDhngM5I8fP05ubi4AcXFxxMTEeOy7Y8cO3G43HTp0YODAgR5l+/fv59ixYwAkJycTFhZmlZWVlZGZmQlA9+7diY2N9dh3165d1gXygwcP9ig7dOiQda1yQkICkZGRVllVVRUZGRkAREVF0bt3b4999+zZQ2VlJTabrVHeR44csaaY9+3bly5dulhlDoeDtLQ0ADp16kT//v099s3KyrI+1Rk6dCiBgYFWWXFxMXl5eQD06tWL6Ohoj323b98OQHh4OElJSR5leXl5FBcXA5CSkuIxrb20tJTs7GwAevTo0eg5mZaWhsPhsK7bru/gwYMcOXIEgMTERCIiIqyyiooK9u7dC0C3bt2Ij4/32DcjI4OqqioCAwMZOnSoR1lhYSGHDh0CoF+/fnTu3Nkqq6mpYffu3QB07tyZfv36eeybmZlJWVkZAMOGDfP4RKyoqIj8/HwA4uPj6datm1XmcrnYuXMnAJGRkSQkJHjUm5OTQ0lJCQCDBg0iJCTEKispKSEnJweA2NhYunfv7rFvamoqTqeTsLAwkpOTPcry8/MpKioCICkpifDwcKusvLycffv2ARATE0NcXJzHvunp6VRXVxMUFNRoAYiCggIOHz4MQP/+/dVHoD5CfUQt9RG11EfUUh/xPfURtU7VRxw9epQ1a9bw9ddfExoaytChQ7nxxhvp2LGj+oh62lMf4Q9NGsQeOHCAiooKbr75ZmbPns3LL7/Mli1beOqpp0hNTeWf//yn9QRqOA247rG6cqj9Q+ltu4iICEJCQjy2PRWHw0HDWdFutxu73W6Ve9unrrwhl8tllblcrkblvtbbsE3163U6nV7rdbvdXq8BcDqdZ1XvyY61fr0Nj7X+OfRWb92x2my2M663tWRzumO12+04HA6v0yNOlY0v9drtdq9lp6q3bt/T1euNr+fQ2/7129TQ6Y61pqYGl8vl8WbCW71neg69nSNf620tz0P1EY3rbS3ZqI9oXK/6CPURDetVH9H2+4iMjAzuuOMOvvvuO4/HH3roIebNm8djjz2mPuI/2lMf4Q9NGsS6XC6qqqp46qmnmDVrFgBjx44lJCSERx55hPXr11vbeuuQvD1+su1OV1ZfUFCQ13rrAqr/CUX9fU52wXj9i8m9dTa+1tuwTfXr9fYCDA4Oxu12e603MDDwrOqt//+T1dvwWOufQ2/11h2rt5wa1nvw4EGcTieBgYF079691WVzumOtO87TncMzqbfuvDSl3rp9T1Xv2Z5Dh8PB/v37CQwMtD61rN+mhk53rCEhITidznNyDl0uV5NfN22xj6hry5EjRzw+ETahjzhZva0lm3PVRxw9etRqp2l9xOmOtaG20EfU/1tmYh9h8vuIk9V7unN46NAh3G639bfMtD6iNb2PyM7O5vLLL/d6t5ETJ07w+OOPU1JSws033+xR/8na1FDdsTqdTkpLS3G73R7fmprQR9TXnvoIf2jSwk6jR49m8+bNbN26lfPPP996fM+ePSQnJ7N48WJGjBjBxIkT+fjjj7nuuus89r/55pv54osvrOkht912G+vXr2/0YigvLycyMpLZs2ezaNEijzIt7GSm7du3Y7fXTkVqOKVCWidlZh5lZh5lZhblZR5l1nxuuukmPvjgA6B2yu5jjz1GfHw8H374IcuWLQNqBz+7d+9uNN23KZSZOYxZ2Mnbda7w/VfOAQEB1nz8uvnw9e3cudNjvv6wYcM4cuQIBQUFjbYDGs3tFxERERGRlnXo0CFWrVoF1F5X+vXXX3P//fczadIk/vd//5f58+cDtWOCN954w59NlXaiSYPYG2+8EYB//OMfHo///e9/B+Diiy+mV69ejBo1ihUrVnjMmd68eTMZGRlMnTrVemzKlCnYbDbefvttj/qWL19Ohw4dmDhxYtOORlqtxMREUlJSSExM9HdTxEfKzDzKzDzKzCzKyzzKrHn8+9//tt7X33nnnR4LEQH85Cc/sX7+5ptvzup3KTMorfJ+La18r0nXxI4fP57JkyfzzDPP4HK5uPjii/n2229ZsGABkyZN4rLLLgNg8eLFjBs3jptvvpmZM2dSWFjIrFmzGDp0qMftdIYMGcKMGTN46qmnCAwMZOTIkaxdu5Y33niD5557zuuiT2Km+ivtiRmUmXmUmXmUmVmUl3mUWfOof/Xhya7T9LbtmWjPmdU4XLzxeSavb8riw5mXMLBHR383qdVq0jWxAJWVlSxYsIB3332XQ4cOERcXxx133MFTTz3lsdT4unXrmD9/Ptu2bSM8PJxJkybxq1/9qtFy2Xa7nYULF7Js2TIKCgro168fP/nJT/jpT3/q9ffrmlgRERERkZazf/9++vbtay22lJGR4XE7peeff57Zs2cD8NOf/pRXXnnFX0011rb9x5n1wQ7SC2rHOf99xQBmXzvIz606NX+Oy5o8iPU3DWJFRERERFrW5MmTWb16NVB739PHH3/cWthpyZIl1q1iGq6BI6dWUePgxbV7WPZFNi43dA0P5qnJQ5hyXpzPd2rxFw1im0CDWDNVVFTgdrux2WweN6CW1kuZmUeZmUeZmUV5mUeZNZ/09HRGjx7N8ePHT7rNI488wksvvXRWv6c9Zfb5niM8uXIn+cWVAPzwvDjmTRpMt8jQ0+zZOvhzXNaka2JFztTevXu1XLphlJl5lJl5lJlZlJd5lFnzSUlJYePGjdx+++3s2rXLoyw0NJRf/OIXLFiw4Kx/T3vIrLi8hmc/3sWHWw8AENc5jIVTh3FlcvfT7Cl1NIgVEREREZHTGjFiBKmpqXz22WesW7eOyspKEhISuP3224mOjvZ381o9t9vNRzsOseBvaRSV12CzwY9G9+PnE5KJDNWwrCl0tqRFdOvWDafTSWBgoL+bIj5SZuZRZuZRZmZRXuZRZs3PZrNx9dVXc/XVV5+T+ttqZgePVzJvVSrr0wsBSOoeyfM3DufCvl1Ps6d4o2tiRUREREREzgGXy80fv85l8ZoMyqodBAfaePDKRGaOTSQkyOzxi66JFRERERERaUP2FZ7giQ928l1uMQAX9OnC4huHk6T7v541DWJFRERERESaSY3DxW83ZrJ0wz5qnC4iQgJ54toU7ryoLwEBrfu2OabQIFZERERERKQZbM0rZtYHO9hzuAyAK5NjeO6GYfTq0sHPLWtbNIiVFpGRkWEtl56cnOzv5ogPlJl5lJl5lJlZlJd5lJl5TM2svNrBC2szWP5lDm43REWE8NTkwfzXiDhsNn372tw0iJUWUVVVhd1ux+l0+rsp4iNlZh5lZh5lZhblZR5lZh4TM9uYUciclakcOF4JwNTzezF30mCiIkL83LK2S4NYaRGBgYFtcrn0tkyZmUeZmUeZmUV5mUeZmcekzI6V1/Ds6l2s/PcBAHp16cCiqcO4YmCMn1vW9ukWOyIiIiIiIj5yu938bftBFny0i2PlNdhsMP2S/vxs/EAiQtvPd4S6xY6IiIiIiEgrd+B4JXNX7mRDxhEAknt05Pkbh3F+n65+bln7okGsiIiIiIjIKThdbt75KodffpJBRY2TkMAAfnpVIv99RQIhQZoR2tI0iBURERERETmJPYdPMOuDHWzNOw7AyH5d+Z+pw0nsHunnlrVfGsRKiygsLLQu0u/evbu/myM+UGbmUWbmUWZmUV7mUWbmaU2ZVTucvLYhk9c27sPudBMZGsQT16Zwx6g+BATotjn+pEGstIhDhw5Z9/zyd4ckvlFm5lFm5lFmZlFe5lFm5mktmX2XW8ysD3awt7AMgKtTuvPsD4cS16WD39ok39MgVkRERESkFbDb7QQFBWGz6Vs+fymrdvDCJxm8/VUObjdER4bw9H8N4fphscqlFdEgVlpEv379cLvdevEbRJmZR5mZR5mZRXmZx4TMCgsLefXVV1m2bBn5+fmEhIQwbtw4HnroIcaPH+/v5rU4f2a2IaOQuStTOXC8EoCbLoxnznWD6BoR0uJtkVPTfWJFRERERPwgLS2Na665hoKCAq/lv/jFL1i8eHGrHoS3BUVl1Tyzehd/3XYQgN5RHVh0wzDGJMX4uWWtmz/HZRrEioiIiIi0sIqKCgYPHkxubi4AgYGBXHDBBeTn53Po0CFru7feeot77rnHX81s09xuN6u2HeCZj3ZRXGEnwAb3XNqfx8YPJDxEE1ZPx5/jMo38RERERERa2HvvvWcNYM8//3yysrL45ptv2L9/Py+//LK13fPPP4/L5fJXM9us/OIKpi3bwqN/3k5xhZ2Unh1ZOfNS5k4arAGsAfRNrLSImpoa6+eQEF1XYAJlZh5lZh5lZhblZZ7WnNmECRNYu3YtAJs3b+aiiy7yKL/yyivZuHEjAN999x0XXHBBSzfRL851Zk6Xm7e/zOGFtRlU1DgJCQrg4auTuO/yAQQHajzRFP4cl+ljBmkRu3fvtpZLHzFihL+bIz5QZuZRZuZRZmZRXuZpzZkVFhYCEBAQ0GgAC3DppZdag9gjR460ZNP86lxmllFwgic+2MG2/ccBGNUviv+5cRgJMZHN+nvk3NMgVkRERESkhXXr1g2o/TZr69atjb5p/frrrxttK2emyu7ktY2Z/HbjPuxONx1Dg5h1XQq3jexDQIAWzTKRBrHSIjp37ozT6SQwMNDfTREfKTOYWvCSAAAgAElEQVTzKDPzKDOzKC/ztObMbrrpJtavXw/Agw8+yKpVq+jRowdut5u33nqLTz/9FID+/ftz/vnn+7OpLaq5M/ss/TBP/20XeccqABg3uAfPThlKz85hzVK/+IeuiRURERERaWFlZWUkJydz8GDtbV1CQ0O55JJLyM3NJSsry9rutdde44EHHvBXM421/1gFCz5K49PdtdO2e3QK5anJQ7h2aE/dsqiZGLM68caNG7HZbF7/27x5s8e2n376KaNHjyY8PJzo6GimTZtmzf2vz263s2DBAvr160doaCgpKSksWbLk7I5KRERERKQVi4yM5KOPPrKmCldXV7NhwwaPAewDDzzA/fff768mGqnK7uTlT/dwza838enuQoICbPz35QNY/7OxXDcsVgPYNuKMphMvWrSIK6+80uOxoUOHWj9v2rSJa6+9luuvv56//vWvFBYW8sQTT3D11Vfz7bffEhoaam07c+ZM3nnnHZ599llGjhzJJ598wsMPP8yJEyd48sknz/CwRERERERatwsuuIBt27bx0ksvsXz5co4dO4bNZuPyyy/noYce4oYbbtCgqwnW7z7Mgo++nzp8SUI3npkyhMTuHf3cMmluTZpOvHHjRq688kr+8pe/cNNNN510u1GjRlFeXs727dsJCqodJ3/55ZdceumlHlMi0tLSGDZsGAsXLmT27NnW/vfddx8rVqwgPz+fqKgoj7o1nVhERERE2hqXy0VpaSlhYWGEhel6zabIK6rgmdXfTx3u2SmMuZMGcb2+eT2n2tQtdg4cOMCWLVv4n//5H2sAC3DJJZcwcOBAVq5caQ1iV61ahdvtZvr06R51TJ8+nd///vesWbOG22+/vbmbKH6QmZlpLZeekJDg7+aID5SZeZSZeZSZWZSXeUzKLCAggC5duvi7GX7XlMyq7E5e35TJaxszqXG4CAqwMWNMfx66KomIUK1f25adUboPPvggt956K+Hh4YwePZp58+Zx2WWXAZCamgrA8OHDG+03fPhwvvjiC+vfqampxMTE0LNnz0bb1a/rdNLS0ujbty+dOnWyHquuriY9PR2Arl270qdPH4999u7dS0VF7VSDhvegOnr0KAcOHACgT58+dO3a1SpzOp1Wuzp27MiAAQM89s3Ozqa0tBSAIUOGeAzkjx8/Tm5uLgBxcXHExMR47Ltjxw7cbjcdOnRg4MCBHmX79+/n2LFjACQnJ3t8QldWVkZmZiYA3bt3JzY21mPfXbt2WZ3B4MGDPcoOHTpkXauckJBAZOT398mqqqoiIyMDgKioKHr37u2x7549e6isrMRmszXK+8iRI9ZCBX379qWsrMxqg8PhIC0tDYBOnTrRv39/j32zsrKsT3WGDh3qsTpdcXExeXl5APTq1Yvo6GiPfbdv3w5AeHg4SUlJHmV5eXkUFxcDkJKS4jGtvbS0lOzsbAB69OjR6DmZlpaGw+Gwrtuu7+DBg9b92xITE4mIiLDKKioq2Lt3L1C7PH58fLzHvhkZGVRVVREYGOgxJR9q7x936NAhAPr160fnzp2tspqaGnbv3g3UruLXr18/j30zMzMpKysDYNiwYR6fiBUVFZGfnw9AfHy8x7L9LpeLnTt3AuBwOHC73QQHB1vlOTk5lJSUADBo0CCPm5CXlJSQk5MDQGxsLN27d/doU2pqKk6nk7CwMJKTkz3K8vPzKSoqAiApKYnw8HCrrLy8nH379gEQExNDXFycx77p6elUV1cTFBTEkCFDPMoKCgo4fPgwULu6Y1vvI+qe3/XrBDP6iPpv3NpTH3HixAkcDgdQ+zowqY+IjIxs9AazrfcR9f+WmdhHmPw+4kz7CLfbjcPhsP6WmdZHmPw+4kz7CLvdDuDx/gMa9xHrdx/m6Y/S2H+sEoARPUK57wdduPLCvoTXG8DqfcT3zlUf4Q9NGsR27tyZhx9+mLFjx9KtWzf27dvHr371K8aOHcvHH3/MhAkTrD8yDacB1z1WVw61LwJv20VERBASEuKx7anUvdmuz+12Wy+CujcIDfepK2/I5XJZZS6Xq1G5r/U2bFP9ep1Op9d6Gw4a6jidzrOq92THWr/ehsda/xx6q7fuWL1N0/C13taSzemO1W6343A4vE6POFU2vtRrt9u9lp2q3rp9T1evN76ew9Pl2tDpjrWmpgaXy+V1yfzmOIfezpGv9baW5+HZ9hEnoz7ie62tj2i4nbd6W2sf4W1/9RG1Wmsf0R7fRzT8UM+0PsLk9xFn00d4U9dHHKlw8cvlW1ifXvvhSWznMP77ohiGdKzGZlMf4Y8+wh+aNIg9//zzPe5TNWbMGG644QaGDRvG448/zoQJE6yyk80/b/j4qeap+zqHPSgoyGu9dQE17MDqHvMWINRO56gr89bZ+FpvwzbVr9fbH+ng4GDcbrfXegMDA8+q3vr/P1m9DY+1/jn0Vm/dsXrLqWG9w4YNs8pcLlery+Z0x1p3nKc7h2dS78nuhXaqeuv2PVW9Z3sOIyIiGn36V79NDZ3uWENCQnA6nefkHLpcria/btpyH9Hw2wMT+oiT1dtasjlXfURSUpL1DYFpfcTpjrWhttBH1P9blpmZaWwfYeL7iJPVe7pzOHjwYI/fbVofYfL7iLPpI3r06NFotoY7IIj3dx3ng91l2J1uggNtzLhsAD+9KpHiIwXWl196H9HyfYQ/NMt9Yh944AFef/11Kioq+Pzzz5k4cSIff/wx1113ncd2N998M1988YU1PeS2225j/fr1jW69U15eTmRkJLNnz2bRokUeZVrYSURERESk/fh012EWrP5+6vBlidE8/V9DSOweeZo95Vwy5j6xJ1M3DrbZbNZ8/Lr58PXt3LnTY77+sGHDOHLkCAUFBY22AxrN7RcRERERkfYht6ice5Zv4d4/fMv+Y5XEdg7jtTsu4J0ZozSAbefOehBbXFzM6tWrOe+88wgLC6NXr16MGjWKFStWeMyZ3rx5MxkZGUydOtV6bMqUKdhsNt5++22POpcvX06HDh2YOHHi2TZPREREREQMUmV38ut1exj30ud8ll5IcKCNB8Ym8OljV3CdbpsjNPGa2Ntvv50+ffrwgx/8gOjoaPbu3cuLL77I4cOHWb58ubXd4sWLGTduHDfffDMzZ86ksLCQWbNmMXToUI/b6QwZMoQZM2bw1FNPERgYyMiRI1m7di1vvPEGzz33nNdFn8RMRUVFuFwuAgICPFaxk9ZLmZlHmZlHmZlFeZlHmZnF7Xaz8pt9vLA+h4OlNQCMSaqdOpwQo29e5XtNGsQOHz6cP//5z7z++uuUlZURFRXFZZddxjvvvMPIkSOt7caOHcvf//535s+fz+TJkwkPD2fSpEn86le/8liOHOC1116jV69eLFmyhIKCAvr168dvfvMbfvrTnzbPEUqrkJ+fby3Prz8iZlBm5lFm5lFmZlFe5lFm5sgtKufpv6WxIaP2dkPdwgN59oYRXDu0p755lUaaNIidNWsWs2bN8mnbcePGMW7cuNNuFxwczNNPP83TTz/dlKaIiIiIiIjhKmuc/HbjPl7/PIsah4ugAJicFM6tw7tw0TD/349UWqcmDWJFzlR8fLw1nUfMoMzMo8zMo8zMorzMo8xaL7fbzbpdh3lm9S7yi2tXHR6TFM0jl/eiT5dQZSan1Cy32GlJusWOiIiIiIi5co6Ws+Cj76cOx3UOY96kwUzU1GGj+HNcpm9iRURERKTNcbvdHD58mMrKSmJjYwkLC/N3k9o9a+rwpixqnC6CA238eMwAfnJVIuEhGpaI7/T1pYiIiIi0GU6nkzfeeINhw4YRGxvLgAEDiIqK4t577yUzM9PfzWuX3G43a9MKuObXm3jls33UOF2MSYpmzSOX8/jEFA1gpck0nVhahMvlsn5WVmZQZuZRZuZRZmZRXq2fw+Hgtttu4/333/da3rlzZz755BMuuuiiFm5Z+5VztJynP0pjY72pw/MnD2bCEO9Th/U6M4emE0ubt3PnTmuJ+xEjRvi7OeIDZWYeZWYeZWYW5dX6LV682GMAO2TIEGJiYvj2228pKyujpKSEKVOmsG/fPiIjdd/Rc6myxslrG/fxu3pTh++7fAAPXnnqqcN6nYkvNIgVEREREePV1NTwyiuvAGCz2fjrX/9Knz59sNvtVFZWMmfOHP75z39y+PBh3n33Xe677z4/t7htcrvdrN11mGc+2sWB49+vOrzgv4YwIEYfHEjz0CBWWkRkZKT1qZqYQZmZR5mZR5mZRXm1bps3b6awsBCAqVOnMnnyZDIzM7Hb7XTt2pVf//rXjBw5EoCVK1dqEHsOZB8t5+m/pbFpT+3U4V5dOjBv0qCTTh32Rq8z8YUGsdIiEhIS/N0EaSJlZh5lZh5lZhbl1boVFxdbP9dNQ62fmcPhsH4+fvx4yzWsHaiscbJ0wz7e+Lx26nBIYAA/vrz/aacOe6PXmfhCV0uLiIiIiPFiY2Otnzds2NCo/LPPPrN+7tmzZ4u0qa1zu92sSa1ddfjVDbWrDl8+MIY1j4zhFxO06rCcOxrEioiIiIjxfvCDH5CYmAjUDmIXLVpEVVUVANu3b+cnP/mJte0dd9zhlza2JVlHypi2bAv3r/iOA8cr6dWlA6/feSFvTx+pa1/lnNMtdkRERESkTXj77beZNm2a9e/OnTsTHR3tcX/YoUOHsnXrVl1zeYaOldfwyvq9rNici8PlJiQwwFp1uENIoL+bJy1It9iRNi8nJwen00lgYCD9+vXzd3PEB8rMPMrMPMrMLMqr9fvRj35EdnY2CxYsAKCkpISSkhKrPCkpidWrV2sAewaq7E7e/jKHVzfs40RV7fXFV6V0Z96kwfSPjmi236PXmfhCg1hpESUlJVppzjDKzDzKzDzKzCzKywxPP/00EyZMYMmSJaxZs4bq6mri4+N58MEHueeee3R/2CZyu918tOMQv1yTTn5x7S1zBsV2Yu71g7g0MbrZf59eZ+ILDWJFREREpE0ZPXo0o0ePZvv27daAqG7FYvHdlpxjPPfxbrbvr13NuWenMH4+IZkbzu9FYIBvt8wRORd0Tay0iJqaGuvnkJAQP7ZEfKXMzKPMzKPMzKK8zKPMzkzO0XKe/0c6a9IKAAgPCeSBKxK4d8yAc37dqzIzh66JlTZPnZB5lJl5lJl5lJlZlJd5lFnTFJfX8MpntYs22Z1uAmzw/0b24dFxSXTvGNYibVBm4gsNYkVERERE2rFqh5M/fJnLks/2UvqfRZvGJscw+9pBJPfs6OfWiTSmQayIiIiISDvkdrv5eOchFq9JZ/+x2kWbUnp2ZM71gxiTFOPn1omcnAax0iJKSkpwu93YbDY6d+7s7+aID5SZeZSZeZSZWZSXeZTZyX2XW7to07/zahdt6t4xlJ+PT+bGC+P9umiTMhNfaBArLSInJ0erAxpGmZlHmZlHmZlFeZlHmTWWW1TO4jXp/H1n7aJNHYID+e8rBnDf5QMID/H/0ECZiS/8/0wVEREREZFz6nhFDUs+28cfvsrB7nRjs8EtF/bmZ+MH0r1TyyzaJNJcNIiVFhEbG4vT6SQw8Nwuyy7NR5mZR5mZR5mZRXmZR5nVLtr0zle5LPlsHyWVdgDGJEXz5HWDGBTbyc+ta0yZiS90n1gRERERkTbG7Xbzj9QCnv9HOnnHKgBI7tGRJ68fxBUDtWiTnD3dJ1ZERERERJrF1rxiFn68m+9yiwGI6RjKz8YN5OYf9Pbrok0izUWDWBERERGRNmD/sQqeX5POxzsOAbWLNt13ee2iTRGhetsvbYeezSIiIiJySna7nZUrV7Js2TKysrIIDw9nwoQJ3H///fTr18/fzWv3SirsvLphL29/mUuN04XNBjdfGM9j45Lp2VmLNknbc9bXxL755pv8+Mc/JiIigrKyMo+yrVu38vjjj7N582aCgoK46qqreOGFFxgwYECjepYsWcLSpUvJzs4mLi6OadOm8eSTTxIcHOyxna6JNVNqaio1NTWEhIQwdOhQfzdHfKDMzKPMzKPMzNJe8zp8+DCTJk3i22+/bVQWHBzM7373O6ZPn+6Hlp1eW8+sxuFixeZcXvlsL8crahdtuiyxdtGmwXGtb9EmX7T1zNoSf47Lzuo3HDhwgJ///OfExcU1KktPT2fs2LHU1NTwf//3f/zv//4ve/bsYcyYMRw5csRj24ULF/Lwww8zdepUPvnkE2bOnMmiRYt48MEHz6Z50oo4nU5cLhdOp9PfTREfKTPzKDPzKDOztMe8HA4HkydP9hjAhoeHY7PVXldpt9uZMWMGa9as8VcTT6mtZuZ2u1mTeojxL23imdW7OF5hJ6l7JMumj+SdGaOMHcBC281MmtdZTSe+//77ufzyy4mKiuL999/3KJs/fz6hoaGsXr2aTp1qX0gXXnghSUlJvPDCCyxevBiAoqIinnvuOX784x+zaNEiAMaOHYvdbmfu3Lk88sgjDB48+GyaKa1AWFgYgYGBjb5Zl9ZLmZlHmZlHmZmlPea1evVqtmzZAkCvXr1YtmwZ11xzDYWFhcybN4/f//73uN1unn76aSZOnOjn1jbWFjPbtv84Cz/exZac2kWboiNDeWzcQG75QTxBgebPTGyLmUnzO+PpxCtWrGDmzJns2rWLuXPn8v7771vTiR0OB506deLuu+/m9ddf99hvwoQJZGdns2fPHgD++Mc/cuedd/LVV19x8cUXW9sdOnSIuLg4Fi5cyJNPPmk9runEIiIiIi3jhhtuYNWqVUDtgPb666+3ytxuNyNGjGDnzp0A7N69m5SUFL+0sz3Yf6yCX36SwUfbDwIQFhzAj8cM4L+vSCBSizaJHxh3i53CwkIeeeQRnn/+eeLj4xuVZ2ZmUllZyfDhwxuVDR8+nHXr1lFVVUVYWBipqakADBs2zGO72NhYoqOjrfJTSUtLo2/fvtY3vgDV1dWkp6cD0LVrV/r06eOxz969e6moqL1n1ogRIzzKjh49yoEDBwDo06cPXbt2tcqcTqfVpo4dOza6vjc7O5vS0lIAhgwZQlDQ96f4+PHj5ObmAhAXF0dMjOc9unbs2IHb7aZDhw4MHDjQo2z//v0cO3YMgOTkZMLCvr9Iv6ysjMzMTAC6d+9ObGysx767du3CbrcTHBzc6FvtQ4cOUVhYCEBCQgKRkZFWWVVVFRkZGQBERUXRu3dvj3337NlDZWUlNputUdZHjhzh4MHaTrZv37506dLFKnM4HKSlpQHQqVMn+vfv77FvVlaW9YIYOnSox82ui4uLycvLA2o/EY6OjvbYd/v27UDtVKekpCSPsry8PIqLaz+1TElJITQ01CorLS0lOzsbgB49etCzZ0+PfdPS0nA4HISGhjb6A33w4EFrinxiYiIRERFWWUVFBXv37gWgW7dujV4vGRkZVFVVERgY2Oi6j8LCQg4dql1dsF+/fnTu3Nkqq6mpYffu3QB07ty50aIamZmZ1odKw4YN8+hMioqKyM/PByA+Pp5u3bpZZS6Xy3ozEhkZSUJCgke9OTk5lJSUADBo0CBCQkKsspKSEnJycoDa12/37t099k1NTcXpdBIWFkZycrJHWX5+PkVFRQAkJSURHh5ulZWXl7Nv3z4AYmJiGl2+kJ6eTnV1NUFBQQwZMsSjrKCggMOHDwPQv39/9RGoj1AfUUt9RC31EbVO1UfU/b6AgAD69u3rUafNZuOKK66wnhPp6ekez3/1Ed87mz7i32kZvJ9Wyuo95dhdbmw2uPGCeH42fiClBXlkpqepj1AfAfjvfYQ/nNEgdubMmSQnJ/PAAw94La97EkVFRTUqi4qKwu12U1xcTGxsLEVFRYSGhnq8YOtvW1fXqTgcDhp+oex2u7Hb7Va5t33qyhtyuVxWmcvlalTua70N21S/Xm/z/O12O2632+v0CafTeVb1nuxY69fb8Fjrn0Nv9dYda911MWdSb2vJ5nTHarfbcTgcXj9ZOlU2vtRrt9u9lp2q3rp9T1evN76eQ2/7129TQ6c71pqaGlwul8ebCW/1nuk59HaOfK23tTwP1Uc0rre1ZKM+onG96iPaRx9R98GVy+UiNze30UCpbuAGeAwc6n6P+ojv621qH2F3uljx9X6WbDjEiZraxy9J6MaT1w1iaK/aAWnRfvURDetVH9Hy7yP8ocmD2A8++ICPPvqIf//73147nfpOVV6/zNftTiYoKKjRdjabzQqo/icU9fc52Vz7gIAAq8xbZ+NrvQ3bVL9eby/A4OBg3G6313rrXxtwJvXW///J6m14rPXPobd6647VW0a+1ttasjndsdYd5+nO4ZnU63Q6vZadqt66fU9V79mew9Mda0OnO9aQkBCcTuc5OYcul6vJr5vW+DxUH9G43taSjfqIxvWqj2gffcTEiRP55z//CcArr7zChAkTrPq/+OILa0Gnrl27csEFF3jsqz7Cs15f+wi3283aXYd5/h/pZB8tByC+UxAPXd6bmy8d5PG71Uc0rld9RMu/j/CHJl0TW1ZWRmJiInfeeSdz5861Hp85cyZ/+9vfyM/PJzg4mPz8fFJSUli6dCkzZ870qOMXv/gFL774IhUVFYSFhTF79myef/55ysvLG32CFxMTw7hx43j33Xetx3RNrJny8/OtTtbbFHRpfZSZeZSZeZSZWdpjXoWFhQwYMIDy8trBVP/+/Zk0aRK5ubmsXr3a+hZp3rx5PPPMM/5sqlemZbZ9/3EW/n0332TXTuvsFhHCo+MGcuvI3m1i0SZfmJZZe2bMNbFHjx7l8OHDvPjii7z44ouNyrt27cqUKVN4//336dChgzUnvr6dO3eSmJhozbOuuxZ2586dXHTRRdZ2BQUFHD16VPeHaiOKioqsa+7UIZlBmZlHmZlHmZmlPebVvXt3/vjHP3LTTTfhcDjIzs5myZIlHttcc801zJkzx08tPDVTMssoOMFL6/awJq0AgNCgAO4d05/7r0igY1j7WqXXlMzEv5o0iO3ZsycbNmxo9Pjzzz/Ppk2b+Mc//kF0dDRBQUFMnjyZDz/8kF/+8pd07NgRqL0gfsOGDTz66KPWvhMnTiQsLIzly5d7DGKXL1+OzWbjhz/84Zkem4iIiIicpSlTprBp0yYWLFjA2rVrrcd79uzJAw88wBNPPOGxyJH4LutIGS9/upePdhzE7QabDW44rxc/n5BMXJcO/m6eSKt1xrfYqW/atGket9iB2pW+Ro4cyQUXXMCsWbOoqqpi/vz5HDt2jG3btnmslrVw4ULmzZvH7NmzGT9+PFu2bGHu3LncfffdvPHGGx6/S9OJzVRRUYHb7cZmszWaNi6tkzIzjzIzjzIzi/KqneqZk5NDREQEQ4cOPek1f61Fa81s/7EKfrN+Lx9uzcf1n3fi1w3rySPXDGRgj47+bZyftdbMpDF/jsvO2SAW4LvvvuOJJ57gq6++IigoiKuuuooXXnih0XLbULtYwNKlS8nJyaFnz55Mnz6dOXPmNOocNYgVERERERMdPF7Jks/28Zdv9+P4z+j1mkHdeXTcQIbEdT7N3iKti/GD2JakQayIiIiImKSwtIrXNmby7td51DhrF8MakxTNY+MGcn6frqfZW6R1MmZhJxERERER8U1RWTW/+zyLP3yVQ5W9dvB6Uf8ofjY+mVH9o/zbOBGDaRArLaK8vNy6viEiIsLfzREfKDPzKDPzKDOzKC/z+Cuzkgo7v/9nFsu+yKa8xgnABX268LPxyVyS0M3rfVulll5n4gsNYqVF7Nu3z1oufcSIEf5ujvhAmZlHmZlHmZlFeZmnpTM7UWVn2Rc5/P6fWZyocgAwtFcnfjYumbHJMRq8+kCvM/GFBrEiIiIiImehosbBH77K5fVNmRyvsAOQ3KMjj40fyPjBPTR4FWlmGsRKi4iJicHpdBIYGOjvpoiPlJl5lJl5lJlZlJd5znVmVXYnf/w6j99u3MfRshoABsRE8Og1A7l+WCwBARq8NpVeZ+ILrU4sIiIiItIENQ4Xf/52P0s/20dBaRUAfaLCefjqJKacF0dQoN6XStun1YlFRERERFo5h9PFh1sP8Jv1ezlwvBKAuM5h/PTqJG66MJ5gDV5FWoQGsSIiIiJ+4nK5yMnJobKykt69e9OpUyd/N0m8cLrcfLT9IC9/uoecogoAuncM5cErE7l1VG9CgzT1VaQlaRArIiIi0sLsdjuvvvoqr776KllZWQAEBwdz0003MXfuXAYPHuznFgqAy+VmTVoBL63bw97CMgCiIkKYOTaBOy/uS1iwBq8i/qBrYqVFpKenW8ulp6Sk+Ls54gNlZh5lZh5lZpbmystut3PDDTfw8ccfey2PiIjg73//O5dffvkZ/w6pdaaZud1uPt1dyK/X7WH3oVIAOncI5r7LBzDtkn5EhOp7oHNF/aI5dE2stHnV1dXY7XZcLpe/myI+UmbmUWbmUWZmaa68Fi5c6DGAHTt2LL169WLNmjUUFRVRXl7O1KlTycrK0vTis9TUzNxuN5/vPcqv12awPb8EgMjQIGZc1p8ZY/rTKSz4XDZXUL8ovtEgVlpEUFAQbreboCA95UyhzMyjzMyjzMzSHHlVVVXx6quvAhAQEMDatWu5+uqrASgvL2fKlCmsX7+eoqIi3nnnHR588MFmaXt71ZTMvsos4sW1GXybWwxAh+BApl3aj/vGDKBrRMi5bqr8h/pF8YWmE4uIiIi0kI0bN3LllVcCcMstt/DnP//Zo3zbtm2cf/75AIwfP55PPvmkxdvY3nyXe4wX1+7hy8wiAEKDArjr4r7cPzaB6MhQP7dOpPXSdGIRERGRdqCkpMT6eciQIY3K6z9WWlraIm1qr3bml/Diugw2ZhwBIDjQxm2j+vDglYn06BTm59aJyKloECsiIiLSQuLj462f161bx/z58z3K165da/3cq1evFmtXe5JeUMqv1+5h7a7DAAQG2Lj5wnh+clUi8V3D/dw6EfGFBrEiIiIiLeSCCy4gJdMmSyoAACAASURBVCWF9PR0/vWvfzFnzhxmz55NZGQkX331lcc1sHfddZcfW9r27Css4+VP9/DxzkO43RBggx+e34uHr06ib7cIfzdPRJpA18RKiygoKMDpdBIYGEjPnj393RzxgTIzjzIzjzIzS3Pl9d5773H77bdb/w4LC6Nr164cOnTIeuz888/nm2++0eI2Z6mgoIDcYxW8veUwa9KP4frPu95Jw2N55JqBJHaP9G8DpRH1i+bQNbHS5h0+fNi655c6JDMoM/MoM/MoM7M0V1633XYb+/fv54knngBqVyyuP4AdOnQoH330kQawZ2lfYRn/89fdbMipsAav4wf34NFxAxkUq1sXtVbqF8UX6h1FREREWtjjjz/O+PHjWbp0KevWraOyspKEhARmzJjB7bffTocOHfzdRGNt33+c327M5JNdBdTNN7wwNoynbryQ4fFd/Ns4EWkWmk4sLaK0tBS3243NZtON2w2hzMyjzMyjzMyivFovt9vNF/uKeG3jPutWOQBXDezG9IvjGRHfSZkZQq8zc/hzXKZBrIiIiIgYyely80laAb/dmMnOA7W3LwoKsDHlvF7cf8UAknp09HMLRdouXRMrIiIiIuKjaoeTVf8+wO82ZZF1tByADsGB3DqqN/eOGUCvLpqOLdKWaRArIiIiIkYoq3bw3td5vPmvLA6XVgPQuUMwP7qkH9Mu6UdURIifWygiLUGDWGkR1dXV1vUNoaGh/m6O+ECZmUeZmUeZmUV5+U9RWTVvf5nD21/lUlJpB6BHp1B+PGYAt43qQ0So97e0ysw8ykx8oUGstIj09HRrufQRI0b4uzniA2VmHmVmHmVmFuXV8g4cr+T3n2fxpy15VNldAAyIjuD+KxKYcn4coUGBp9xfmZlHmYkvNIgVERERkVZlz+ETvL4pk79tO4jjPzd5HdarMzPHJjB+SE8CA2x+bqGI+JMGsdIiunbtisPh0I3bDaLMzKPMzKPMzKK8zr2tecX8dmMm63Ydth67NLEbM8cmcklCN2y2pg1elZl5lJn4QrfYERERkTbFbrdz9OhRwsPD6dy5s7+bI6fhdrvZtOcIv92YydfZxwCw2WDikJ7cf0UCI3p38XMLRcQbf47LmvQbtm3bxvXXX0+fPn3o0KEDUVFRjB49mhUrVjTaduvWrVxzzTVERkbSpUsXpk6dSlZWltd6lyxZQkpKCqGhofTv358FCxZgt9vP7IhERESkXcrOzuaBBx4gKiqKuLg4unTpwkUXXcS7776LYZ/ZtwtOl5uPth/k+lf+xbRlW/g6+xjBgTZu+UE8nz52Bb+980INYEXEqyZ9T3/8+HF69+7NbbfdRq9evSgvL+ePf/wjd911Fzk5OcydOxeovSB77NixnHfeefzf//0fVVVVzJ8/nzFjxrBt2zZiYmKsOhcuXMi8efOYNWsW48ePZ8uWLcydO5cDBw7wxhtvNO/RioiISJv09ddfM2HCBEpKSjwe/+abb7jjjjv49NNPefPNNzVzqxWosjv5YGs+b3yeRW5RBQDhIYHcPqoPM8b0J7az7vEqIqfWLNOJL774Yg4ePEheXh4At9xyCxs2bCAzM5NOnToBkJubS1JSEo8++iiLFy8GoKioiPj4eO6++25+97vfWfUtWrSIuXPnkpqayuDBgz1+l6YTi4iISH2lpaUkJSVRWFgIQEREBFdccQW5ubmkpaVZ27388ss8/PDD/mpmu3eiys4fv87jrX9lc+RE7T1eu4YHM+2S/tw9ui9ddY9XEaP4c1zWLFdMR0dHW384HA4Hq1ev5u6777YGsAB9+/blyiuvZOXKldYgds2aNVRVVTF9+nSP+qZPn86cOXNYtWpVo0GsmGnv3r3WRfpJSUn+bo74QJmZR5mZR5k1j3feecd6HzJmzBhWrVpFVFQUbrebd999lzvvvBOAX/9/9u48PKrqfOD4d5LJvpI9IYRAgASBsKqIpQIKokihFEEtIlhRsf6UFheWsIhL0YJ1KdaduKGCIFZsXRCwKtiyhrAkQDYCSchCFrLMZLbfH0MumcwQAiSZueT9PA8PyT33npyZd+bMfeeec+6LL/Lwww/j7t78bVnOR+J1aUrO6Fn9cw4f/JLHGZ0RgJggb2b9ujtTr+6Cr2fbLeAjMVMfiZloiUvqNcxmM2azmfLyctatW8c333zD3//+dwCysrKoq6sjOTnZ7rjk5GS+++47dDod3t7eHDhwAIB+/frZ7BcdHU1YWJhSfiEHDx6ka9euNkmzXq8nIyMDsK5yFhcXZ3PM0aNHqa21DmFpeg+q0tJSTp48CUBcXBydOnVSykwmk9KugIAAunfvbnNsTk4OVVVVAPTp08dmZbWKigry8vIAiImJsRlWDbB//34sFgs+Pj706tXLpiw/P5/Tp62LHSQmJuLt7a2UVVdXk5WVBUBERATR0dE2xx46dEi531bTLwUKCwuVD/6EhAT8/f2VMp1OR2ZmJgAhISF06dLF5tgjR45QV1eHRqOxi3dJSQkFBQWA9QuM2tpapQ1Go1H5ZjwwMJBu3brZHJudna18q9O3b1+bk43y8nLlin/nzp0JCwuzOTYtLQ0AX19fu47v+PHjlJeXAyhzsBtUVVWRk5MDQGRkJFFRUTbHHjx4EKPRiJeXF0lJSTZlBQUFlJSUANCjRw/8/PyUstraWo4ePQpAaGgosbGxNsdmZmai0+lwd3enb9++NmXFxcUUFhYCEB8fb7M4SX19PYcPHwYgKCiI+Ph4m2OzsrKorq4GrO+vxt+IlZWVceLECQBiY2MJDQ1VysxmM+np6YD1CymLxYKHh4dSnpubqwzV6927N56e5741r6ysJDc3F7C+hyMiImzadODAAUwmE97e3iQmJtqUnThxgrKyMgB69uyJr6+vUlZTU8OxY8cACA8PJyYmxubYjIwM9Ho9Wq2WPn362JQVFRVx6pR1hctu3bpd8X1EQ2yaruiohj4iOPjcvLeO1EfU1NRgNFpP6k+cOKGqPsLf35+EhASbep3VR7z//vvK73//+98JCQkBQKPRMHjwYK6//np+/vlnjh8/zu7du7nmmmuAi+8jGn+WqbGPaO/ziGOF5az8VxrfZ9dQb7Ju6xHhz4M3JPCb/jHkZh/j6OGDbdpHWCwWjEaj8lmmtj5CzecRl9pHNKyL0/j8A+Q8ooEr9hHOcElJ7EMPPaQM//X09OSVV17hgQceAFBeQA0fII01fCtaXl5OdHQ0ZWVleHl52bxZG+/bUNeFNJxsN2axWJQ3QcMJQtNjzrd4lNlsVsrMZrNdeUvrbdqmxvWaTCaH9TZNGhqYTKbLqvd8j7VxvU0fa+Pn0FG9DY/V0XL3La3XVWJzocdqMBgwGo0Oh0c0F5uW1GswGByWNVdvw7EXqteRlj6HF4prUxd6rPX19ZjNZodXQFrjOXT0HLW0Xld5HV5uH3E+0kec42p9RNP9HNXrqn2Eo+Od1UdUVFQA4ObmZvfFuMFgIDExkZ9//hlAOUlrSb2u9jpUy3lERlEVr2/L4su0Qkxn/1bvCB/m3HwVo3tH4nb2Hq/t0Uc0/VJPbX2Ems8jLqePcETOI+zrdZU+whkuKYldsGAB9913H8XFxXz55Zc8/PDD1NTU8Nhjjyn7NHcfr8ZlLd2vOVqt1m5fjUajBMjRfaa0Wq3DAIL1Q7ChzFFn09J6m7apcb2O3oAeHh5YLBaH9bq7u19WvY3/P1+9TR9r4+fQUb0Nj9VRnJrW2/gbqMbfiLpKbC70WBse54Wew0up12QyOSxrrt6GY5ur93KfQ0ffoDZuU1MXeqyenp6YTKY2eQ7NZvNFv2+u5D6i6TfUaugjzlevq8SmrfqIXr16KVdZ1NZHXOixNtWWfURYWBhHjhzBbDazY8cOhg0bZtPevXv3Kr83vkJ2sX1E48+yo0ePqraPaKvziH0nz5C6IZMtGcVK+YAoLyZfFcCvk6KJi7O9OtkefUTT0Rpq6yPUfB5xOX2Eo9Each5hX6+r9BHO0CoLO82ePZu3336bgoICTp8+TVJSEqtWreKhhx6y2e/xxx9n5cqV1NbW4u3tzfz581m+fDk1NTU2l/3Berl/9OjRrFmzxma7LOwkhBBCiMbee+89ZsyYAViHPq5fv56ePXtSX1/Piy++yPz58wHrENBDhw61+EtycWEWi4WtmcX8Y1sWO3OtQ201Gri1XzSzb0igb2e5T68QVyrVL+x0zTXX8Prrr5Odnc3gwYPx8fFRxsM3lp6eTo8ePZQx1g1DftLT07n22muV/YqKiigtLbUb2y+EEEII0dTUqVN5+umnycrKIj09ncTERPr06UNhYaHN1KQFCxZIAttKjCYzX6UX8o9tWWQUWU9iPd3d+N3gztz/6wS6hdlPFRNCiNbSKmny1q1bcXNzo3v37mi1WsaPH8+GDRtsMvPjx4+zdetWJk2apGwbO3Ys3t7epKam2tSXmpqKRqNh4sSJrdE8IYQQQlzBvL29+eqrr5TFxSwWCwcOHLBJYBcvXszdd9/trCZeMWrrjXywI5cRK7bx6Cf7yCg6g5+nOw/8ujs/PjmSv0xKlgRWCNHmLupK7P33309gYCDXXHMNkZGRlJaWsm7dOj799FMef/xxZQWsp556iquvvprbbruNefPmodPpWLx4MWFhYcydO1epLyQkhJSUFBYtWkRISAhjxoxh586dLF26lPvuu09ur3MFKS0txWw24+bmZrcSoHBNEjP1kZipj8Ss9SQmJpKWlsbrr7/O6tWryc7Oxs/Pj9GjR/Poo48yfPjwy/4bHTleeWU1vL8jj7W78pXb5IT4eXLv9fHcPTSeIF/Hc/+crSPHTK0kZqIlLmpO7OrVq1m9ejWHDx+moqICf39/+vfvz3333afcg63B7t27efLJJ9mxYwdarZZRo0axYsUKu4ViAF555RVWrVpFbm4uUVFRyn1iHU2Gljmx6pSWlqYsz990mXHhmiRm6iMxUx+Jmbp0tHhZLBZ+PFrKe9tz2ZJZTMMZY9dQX+69vhtThnTBx9M1Fnk5n44WsyuBxEw9VDMndubMmcycObNF+w4ePJjNmze3aN9HHnmERx555GKaIoQQQggh2kC13sj63Sd4b0cu2SU1yvYbeoUzY1g8N/QKV26TI4QQztAqCzsJcSFxcXHK0BChDhIz9ZGYqY/ETF2u9Hhll1Tz/o48Ptt9gmq9dciwv5eWyYNjufu6riSE+zu5hRfvSo/ZlUhiJlqiVW6x055kOLEQQgghROswmy38cKSE1O25/HCkRNnePdyPe66L53eDY/H3kmseQgh7qhlOLIQQQggh1K9KZ+CzXSd4f0cuuWW1gPX+riMTI5gxLJ5f9QiTIcNCCJclSawQQgghRAdxrPgM723PY/2eE9TWmwAI8NYyZUgXpl/Xla6hcnscIYTrkyRWtAuTyaT87O7u2isZCiuJmfpIzNRHYqYuao2XyWxha0Yx7+3I5cejpcr2nhH+3DMsnt8O7IzfFTpkWK0x68gkZqIlrsweS7icAwcOyHLpKiMxUx+JmfqoIWYGg4EvvviC7777jrq6Onr06ME999xD165dnd20dqeGeDVWWWtg7a583v8ll/zTdYB1yPBNvSOZMSyeYQmhaDRX9pBhtcVMSMxEy0gSK4QQQgiHtm/fzh133EF+fr7N9qVLl/LQQw/x0ksvodXKqYSrySw6Q+r2XDbuPUmdwXpVK8jHg6lXd+HuoV3pEuLr5BYKIcTlkU8e0S4CAgIwGo1ysqMiEjP1kZipjyvHLC0tjTFjxlBTU2NXZrFYWLVqFTqdjrffftsJrXMOV46X0WRm8+Fi3tuey47sMmV7UlQA9wyLZ+KAzvh4dryhma4cM+GYxEy0hNxiRwghhBB2br75Zr799lsArr/+ehYuXEhsbCwbNmzgueeeo76+HoDdu3czaNAgZza1QyuvqeeTnfl8+EseJyusQ4bdNDDmqihmXB/Ptd1Crvghw0II55Bb7AghhBDCZeTk5CgJbNeuXdm8eTPe3t4A9OvXj+DgYObMmQPAm2++yeuvv+60tnZUhwqqeG97Lhv3nURvNAPQydeDO66JY9rQrnQO9nFyC4UQou1IEiuEEEIIGwcPHlR+vvPOO5UEtsHMmTOVJDY9Pb1d29aRGU1mvjl4ive25/K/3NPK9quiA5kxLJ7fDIjB26PjDRkWQnQ8ksQKIYQQwkbjuWiO5sQ23ibz1tpeWbVeGTJcWKkDwN1Nw9i+UcwYFs+Qrp1kyLAQokORTx7RLnJycpRJ+t26dXN2c0QLSMzUR2KmPq4as8GDB+Ph4YHBYODDDz9k4cKFREZGKuUrV65Ufh42bJgzmugU7R2v9BOVpG7P5cv9BdSfHTIc6ufJXdfG8ftruxIV5H2BGoSrvsfE+UnMREtIEivaRVVVlXLPL6EOEjP1kZipj6vGLDw8nNtvv501a9ZQXl7O4MGDefjhh4mNjWX9+vVs3LgRAHd3d+6//34nt7b9tEe8DCYz/z5QROrPOew5XqFsT44N4p7r4hmXHC1Dhi+Cq77HxPlJzERLSBIrhBBCCDt//etf+fHHH8nPz+fkyZPMnz/fbp+//OUvcqWklZSc0bPmv8f56L95FJ/RA6B10zAuOZp7hsUzsEuwDBkWQoiz5BY7ol0YjUYsFgsajUbmT6mExEx9JGbq4+oxO378OPfffz/ffPONzfbIyEiefvppZs2a5aSWOUdrx8tstvBzVilrd53g6wOFGEzWU7Iwfy9+f20cv782johAGTJ8OVz9PSbsSczUw5l5mSSxQgghhGhWZmYmW7Zsoa6ujoSEBG655RY8PT2d3SzVyj9dy2e7T/DZ7hPKvV0BBnQJZub18dzSNxpPrZzXCCFcmySxF0GSWCGEEEKojc5g4puDRazdlc/Px8qU7QHeWiYO6MyUIV3oFxvkxBYKIcTFcWZeJtfohRBCCCHagMViIf1kJWt35fPFvgLO6IxK2fU9QpkypAs394mShZqEEOIiSRIr2kVFRQVmsxk3NzeCg4Od3RzRAhIz9ZGYqY/ETF1aGq/TNfVs3HuStbvyySg6d5Wic7APkwfHMnlwLF1CfNujyR2evMfUR2ImWkKSWNEu8vLylOXSpUNSB4mZ+kjM1Edipi7NxctktvCfoyWs25XPd4dOKYs0eWrduLlPFFOHdGFYQihubrLCcHuS95j6SMxES0gSK4QQQghxifLKali3y7pIU1GVTtnet3MgU4Z04Tf9Ywj2lUWwhBCiNUkSK9pFTEwMJpMJd3eZ96MWEjP1kZipg8ViYcuWLaxevZrMzEx8fHwYOXIknTt3JiwszNnNE81oeI/Vm2H97hOs3ZXPf3NOK+XBvh5MHNCZ24fE0idGFmlyBdIvqo/ETLSErE4shBBCtJOKigomT57M999/b1fm5+fHBx98wG9/+1sntExciMViYV9+BWt3neDLtAKq9dZFmjQaGN4znClDYrmpd6Qs0iSE6DDkFjsXQZJYIYQQamQ2m7npppvYunXreffRarVs2bKF4cOHt2PLRHNKq/V8vse6SNPR4mple5cQH6YM7sLvBscSE+zjxBYKIYRzyC12hBBCiCvct99+qySwYWFhvPrqq0ycOJG8vDxSUlL47LPPMBqNLFq0iG3btjm3sR2c0WTmhyMlrN2Vz/eHizGard/3e2nduLVfNFOGdOHabiGySJMQQjiJXIkVQggh2sGUKVNYt24dAOvWrWPy5MlKmdFopE+fPhw5cgSAY8eOkZCQ4JR2dmRZJdWs23WC9XtOUHJGr2zv3yWYKUNiGd8/hkBvDye2UAghXIdqrsRu2bKFDz/8kO3bt5Ofn09wcDBDhgxh8eLFDB482GbfPXv28MQTT/DLL7+g1WoZNWoUK1asoHv37nb1vvrqq6xatYqcnBxiYmKYMWMGCxYswMNDPiiuFPv371eWS09OTnZ2c0QLSMzUR2Lm2o4dOwaARqNh4sSJgG3MJk6cyAsvvABAVlaWJLHtpEZv5Kv0QtbuzGdXXrmyPcTPk0kDO3P7kC4kRgUA8h5TI4mZ+kjMREtcVBL7j3/8g7KyMh599FGuuuoqSkpKWLlyJUOHDuWbb75h1KhRAGRkZDBixAgGDBjA2rVr0el0LF68mOHDh7Nv3z7Cw8OVOp999lkWLVrEvHnzGDNmDDt37iQlJYWTJ0/y5ptvtu6jFU5jsViUf0IdJGbqIzFzbT4+1nmTFouFoqIiYmNjbWJ24sQJu31F27BYLOzOK2ftrnw27S+ktt4EgJsGRiRGMGVILKOSIvHUutkdJ+8xdZGYqY/ETLTERSWxq1atIiIiwmbb2LFj6dGjB88995ySxC5evBgvLy82bdpEYGAgAIMHD6Znz56sWLGC559/HoCysjKeeeYZZs2axXPPPQfAiBEjMBgMpKSkMGfOHK666qrLfpDC+Xx8fPDw8ECrlWnYaiExUx+JmWu76aab2L59O2D9nHznnXeUmB07dozPPvsMgKCgIAYNGuTMpl6xiqt0bNhrXaQpu6RG2d4tzI/bh8Tyu0GxRAZ6n/d4eY+pj8RMfSRmoiVaZU7sqFGjOHnyJJmZmRiNRgIDA5k+fTqvv/66zX4333wzOTk5ypyfjz76iGnTprFjxw6GDh2q7FdYWEhMTAzPPvssCxYssKlD5sQKIYRQo5MnT5KQkIBeb51rOWDAAGVhp48//hidTgfA3LlzWbFihTObekUxmMxsyShm3a58tmaWYDq7SJOPhzvjkq2LNF0d3wmNRhZpEkKIi6GaObGOVFZWsmfPHuUqbFZWFnV1dQ7HsCcnJ/Pdd9+h0+nw9vbmwIEDAPTr189mv+joaMLCwpTyCzl48CBdu3ZVrvoC6PV6MjIyAOjUqRNxcXE2xxw9epTa2loA+vfvb1NWWlrKyZMnAYiLi6NTp05KmclkUtoVEBBgN8c3JyeHqqoqAPr06WPzLVJFRQV5eXmA9UbOjYdVg3UOgMViwcfHh169etmU5efnc/q09YbqiYmJeHuf+6a4urqarKwsACIiIoiOjrY59tChQ8rcgqZXtgsLCykuLgYgISEBf39/pUyn05GZmQlASEgIXbp0sTn2yJEj1NXVodFo7OJdUlJCQUEBAF27diU4OFgpMxqNHDx4EIDAwEC6detmc2x2drbyhujbt6/Nza7Ly8s5fvw4AJ07dyYsLMzm2LS0NAB8fX3p2bOnTdnx48cpL7fOd0pKSsLLy0spq6qqIicnB4DIyEiioqJsjj148CBGoxEvLy+SkpJsygoKCigpKQGgR48e+Pn5KWW1tbUcPXoUgNDQUGJjY22OzczMRKfT4e7uTt++fW3KiouLKSwsBCA+Pp6goCClrL6+nsOHDwPWqzbx8fE2x2ZlZVFdbb0VRL9+/Ww6k7KyMmXYYmxsLKGhoUqZ2WwmPT0dAH9/f7s5ebm5uVRWVgLQu3dvPD09lbLKykpyc3MB63u46aiNAwcOYDKZ8Pb2JjEx0absxIkTlJWVAdCzZ098fX2VspqaGmUuYXh4ODExMTbHZmRkoNfr0Wq19OnTx6asqKiIU6dOAdCtWzfpI5A+wtl9xKuvvsoDDzxgvefovn3s27fPZt9rrrmGpUuXKr9LH2F1KX3E0VNnWLsrn3U7j1OhMyn7D+7aiSlDYhmXHEN1eSmnTuWzf3++9BHSRwDO7yPkPCIXkPMItfURznDZSewf//hHampqWLhwIYDyAgoJCbHbNyQkBIvFQnl5OdHR0ZSVleHl5WXzZm28b0NdF2I0Gu3GzVssFgwGg1Lu6JiG8qbMZrNSZjab7cpbWm/TNjWu12Qy2R1rMBiwWCwOF7QymUyXVe/5Hmvjeps+1sbPoaN6Gx6ro2+vW1qvq8TmQo/VYDBgNBodfrPUXGxaUq/BYHBY1ly9DcdeqF5HWvocOjq+cZuautBjra+vx2w225xMOKr3Up9DR89RS+t1ldeh9BH29bpKbFqrj7jzzjuJjY0lJSWFPXv2KPv4+flx++238+qrr9okAdJH2NfbXGyOn67l88xjfJlWQEbRuasDwV5ujOjmy8O3DqZHxLnnt1L6iBbXK32EnEc0UHMfIecRbdNHOMNlJbGLFi3io48+4tVXX7Vbnbi5YTmNy1q6X3O0Wq3dvhqNRgmQozH1Wq32vKsfu7m5KWWOOpuW1tu0TY3rdfQG9PDwwGKxOKzX3d39supt/P/56m36WBs/h47qbXisjuLU0npdJTYXeqwNj/NCz+Gl1GsymRyWNVdvw7HN1Xu5z+GFHmtTF3qsnp6emEymNnkOzWbzRb9vXPF1KH2Efb2uEpvW7CNuueUWxo4dy4EDBzh8+DDl5eX069ePuLg4mwS2oV7pI5p/rIVVejYd0/HT8VqOnT6lbNe6aRiRGMH10RqSw93x9vSwSWAvVK8rvg6lj7Cv11ViI+cR9vW6Sh8h5xG29bZFH+EMlzwn9qmnnmLp0qV281YzMzNJSkpi1apVPPTQQzbHPP7446xcuZLa2lq8vb2ZP38+y5cvp6amxuayP1gv948ePZo1a9bYbJc5seqUn5+vdLJNhxMJ1yQxUx+JmfpIzC7NqSodX+0vZNP+AvYcr1C2u2lgWEIY4/tHc3OfKIJ9PZup5eJJvNRHYqY+EjP1UN2c2IYEdunSpXYLLyUkJODj46OMh28sPT2dHj16KGOsG+bCpqenc+211yr7FRUVUVpaaje2X6jX6dOnlfk00iGpg8RMfSRm6iMxa7nSaj3/PlDEprQC/pd7moav4DUauCY+hNv6x3BL3yjC/L2ar+gySLzUR2KmPhIz0RIXncQ+/fTTLF26lJSUFJYsWWJfoVbL+PHj2bBhAy+88AIBAdYbhB8/fpytW7fypz/9Sdl37NixeHt7k5qaapPEpqam2twMXgghhBAdT0VtPd8cLGLT/kK2Z5UpKwsDDIoL5rbkGMYlRzd7WxwhhBBXnosakBOm2wAAIABJREFUTrxy5Uoee+wxxo4d6zCBbbhNTkZGBldffTWDBg1i3rx56HQ6Fi9ezOnTp9m3b5/NSlnPPvssixYtYv78+YwZM4adO3eSkpLC9OnTefPNN+3+hgwnViedTofFYkGj0disdiZcl8RMfTpyzCwWC//73//YvHkzdXV1JCQkMHnyZOWLVFfVkWN2PlU6A98dPMWm/QX8eLQUY6PEtV/nIMb3j+bWftHEdvJtppa2IfFSH4mZ+kjM1MOZedlFJbEjRozghx9+OG9546p2797Nk08+yY4dO9BqtYwaNYoVK1bYLbUN8Morr7Bq1Spyc3OJiopi5syZLFy40OFkaElihRBCNJaZmcndd9/Nzp07bbb7+/uTkpLCE088IfcAdXG19UY2Hy5mU1oB246UUG88t1pnUlQA4/vHMK5fNPFh9nczEEII4RyqSWJdgSSxQgghGmRnZzN06FDlHouOLFy4kGeeeaYdWyVaQmcwsS2zmC/3F/L94VPoDOcS14RwP25LjmF8/2h6RLj21XQhhOioJIm9CJLECiGEaDB58mTWr18PQK9evZg7dy6dO3dmw4YNvPvuu8p+GRkZJCYmOquZ4iy90cSPR0rZtL+A7w6doqb+3P0G40J8Gd8/mtuSY0iKCpCr50II4eJUtzqxEBeruroas9mMm5ub3X0QhWuSmKlPR4tZYWEhGzduBCAiIoL//ve/BAcHAzBu3Di6dOnCU089BcAbb7zBiy++6LS2nk9HiJnBZGZ7Vhmb0gr45mARVTqjUtY52IdxydHclhxNv85BLp+4doR4XWkkZuojMRMtIUmsaBdZWVnKcun9+/d3dnNEC0jM1KejxWzv3r2YTNYredOmTVMS2AYPP/ywksQ2nS/rKq7UmJnMFv6bU8am/YX8O72Q8lqDUhYR4MWt/aIZ3z+GgV2CcXNz7cS1sSs1XlcyiZn6SMxES0gSK4QQQpUaz4ZxNHTJ3d3d4b6ibZjNFvYcL+fLtAL+daCIkjN6pSzUz5Nb+kVxW3IMV8eH4K6ixFUIIYTrkSRWtIuIiAhMJpPNSaVwbRIz9eloMevfvz8ajQaLxcKaNWtYvHixzS11Xn/9deXnQYMGOaOJF6T2mFksFtJOVLIprYCv0gsprNQpZUE+HoztE8Vt/aO5rnsoWnf1r12h9nh1RBIz9ZGYiZaQhZ2EEEKo1m9+8xu+/PJLAJKTk3niiSeIjY1l/fr1rFq1CrPZuuLtgQMH6NOnjzObesWwWCwcKqziy7RCvkovIP90nVLm76VlTJ9IxifHcH2PMDy18tkshBBXKlmd+CJIEiuEEKJBZmYm1113HeXl5efd509/+pNLLuqkJhaLhcOFZ/j6QCGb9heSXVqjlPl4uHPTVZHclhzNDb3C8faQqydCCNERyOrEQgghxCVITExk69at3HXXXRw6dMimzMvLiyeeeIKlS5c6p3EqpzOY2JFVxvcZp9hyuJiCRkOFvbRujEyM4Lb+0YxKisDXU04nhBBCtB+5EiuEEEL1LBYLW7duZfPmzdTV1ZGQkMCdd95JaGios5umKsVVOrZkFLP5cDE/HyulznDuPq7eHm78qkc4tyVHc9NVkfh7SeIqhBAdmQwnvgiSxKrToUOHlOXSr7rqKmc3R7SAxEx9JGbq4+yYWSwWDhZUsfnwKbZkFLP/RKVNeXSQN6OSIrixdwTDEsI6/FBhZ8dLXDyJmfpIzNRDhhOLK57BYMBgMFx4R+EyJGbqIzFTH2fErK7exM/HSvk+o5gtGac4VaW3Ke/fJZgbzyauV0UHotHI7XAayHtMfSRm6iMxEy0hSaxoFx4eHjb/C9cnMVOf1oyZXq9n3bp1rF69mpycHHx9fRkzZgyzZ8+mZ8+el12/sGqv91lhZR1bMor5/uwwYb3RrJT5erozvGcYNyZFMiIpnIgA7zZti5pJv6g+EjP1kZiJlpDhxEIIIWwUFhZyyy23kJaWZlfm7u7Oa6+9xv333++ElomWMpst7D9ZyZbDp9h8uJhDhVU25Z2DfbixdwQ39o7k2m4hHX6YsBBCiIsnc2IvgiSxQgjRdoxGI0OHDmX37t3KtqCgIKqrqzGZzi3ys2nTJsaNG+eMJorzqNEb+elYKd8fPsWWjBJKq88NE9ZoYFBcJ2V+a2JkgAwTFkIIcVlkTqwQQgiX8MUXXygJbFxcHO+//z6//vWvOX36NIsXL+a1114DYOnSpZLEuoAT5bXKasK/ZJVRbzo3TNjfS8uve50dJpwYTqi/lxNbKoQQQrQeuRIrhBBCMWHCBP75z38C8O9//5uxY8cqZRaLhYEDByrDjA8ePCgrR7Yzk9nCvvyKs1dbi8kosv08jAvxtQ4TTorkmm4heGrls1EIIUTbkCux4opXWFiIyWTC3d2d6OhoZzdHtIDETH1aI2b5+fkAuLm5MWbMGJsyjUbDrbfeqiSx+fn5ksReppbE7IzOwI9HS/n+cDHbMospq6lXytw0MKRrCKN6R3BT7wgSwv1lmHAbkn5RfSRm6iMxEy0hSaxoF8XFxco9v6RDUgeJmfq0RswCAgIA67erOTk5JCQk2JQfOXLEbl9x6c4Xs+NltXyfcYrvDxfz35wyDKZzg6YCvLXc0Cucm3pHckOvcDr5eTqj6R2S9IvqIzFTH4mZaAlJYoUQQihuvfVW/vOf/wDw2GOP8emnn+LpaU2Stm3bxueffw5AeHg4gwcPdlo7rzQms4WduafZfPgUWw4Xc7S42qa8W5gfNyZFMKp3BFfHh+DhLsOEhRBCdFwyJ1a0i+rqasxmM25ubvj7+zu7OaIFJGbq0xoxKykpISEhQelnY2NjGTduHLm5uXzzzTfKfkuXLmXJkiWt0u6OqrRaz5aDJ/nhSCk/ZZdTWWdUytzdNFwd34mbekcyKimC7uHyHnQF0i+qj8RMfSRm6iG32LkIksQKIUTb+uqrr5g0aRL19fUOy8eOHcsXX3yhXKEVLVNZZ+C/2WVszypjR1YZmadsP8uCfDwYmRjOqLPDhIN8PJzUUiGEEOLCJIm9CJLECiFE29u5cyfLli3jq6++ouFjokuXLjz00EPMnTsXDw9JsC6ktt7IztxytmeVsiOrjAMnKzE3+cRNigrghl7h3Ng7kkFxwWhlmLAQQgiVkCT2IkgSK4QQ7efUqVPk5eXh5+dHYmIiWq0spXA+eqOJvccrzl5pLWVffoXNgkwA3cP9GJYQyrCEMK7tFiL3bhVCCKFacosdccXT6XRYLBY0Gg3e3t7Obo5oAYlZ68vLy+ONN95g8+bN1NXVkZCQwL333su4ceNwd3e/7PrbImaRkZFERka2Sl1XGqPJzP6TlezIKmN7Vim7csvRG802+3QO9rEmrT1Cua57GFFBtnGR95m6SLzUR2KmPhIz0RJyJVa0i7S0NGW59P79+zu7OaIFJGat69133+XBBx/EYDDYlf3qV7/iiy++ICQk5LL+hsSsbZnNFg4XVZ1NWsv4X85pqvVGm33CA7y4rnuocrW1S4hPs/dtlZipi8RLfSRm6iMxUw+5EiuEEFewr776ij/84Q822zw8PJSE9qeffmLSpEls2bJFvpBzIRaLhaySGnZklVqHCGeXUVFr+yVEkI+HNWntYU1cE8L9m01ahRBXNp1OR0lJibOboWoeHh5otVo0Gg35+fnObk6HFx4e7pJXxCWJFe0iJCQEk8nUKkMmRfuQmLUOi8XCokWLlN9nzZrFsmXLCA8P56uvvmLWrFkUFxfzww8/sHnzZsaMGXPJf0tidvnyT9ey/WzSuj2rjJIzeptyP093rukWwrCEMK5LCOWq6EDc3C49aZWYqYvES33aM2Y6nY7i4mI6d+4sr5HLUF9frwwnllXwnctkMnHy5EkiIiJcLpG96OHEZ86c4emnn2bfvn3s3buX0tJSlixZwtKlS+323bNnD0888QS//PILWq2WUaNGsWLFCrp3726376uvvsqqVavIyckhJiaGGTNmsGDBArsVMGU4sRBCTfbv368Mhxo0aBC7du2yuVK3bt06pkyZAsAdd9zBxx9/7JR2dlSnqnTKnNbtWWWcKK+zKffUujGkayeGJYRyXUIYybFBeMgKwkIIB/Lz84mJiZEEVlxRTCYTBQUFdOnSxa5MVcOJy8rKePPNN+nfvz8TJ07k7bffdrhfRkYGI0aMYMCAAaxduxadTsfixYsZPnw4+/btIzw8XNn32WefZdGiRcybN48xY8awc+dOUlJSOHnyJG+++ealPzohhHCy3Nxc5efx48fbDTWdMGGCw31F2yivqeeXs/dq3Z5VSlZJjU251k3DgC7BStI6MC4Ybw85IRVCtIwksOJK46qv6YtOYrt27Up5eTkajYbS0tLzJrGLFy/Gy8uLTZs2ERgYCMDgwYPp2bMnK1as4PnnnwesSfEzzzzDrFmzeO655wAYMWIEBoOBlJQU5syZw1VXXXWpj08IIZzKz89P+TknJ8euPDs72+G+onWc0RnYmXua7cesieuhwiqbco0G+sYEnU1aQ7k6PgQ/L5lpI4QQQriyi/6kbsmCFUajkU2bNjF9+nQlgQVrAjxy5Eg+//xzJYn9+uuv0el0zJw506aOmTNnsnDhQjZu3ChJrBBCtYYOHUpgYCBVVVV88sknPProowwaNAiw9pULFixQ9h07dqyzmnnFqK03sievQhkenH6yEpPZdtZMYmQA151NWod2CyXI1+M8tQkhhBDCFbXJ181ZWVnU1dWRnJxsV5acnMx3332HTqfD29ubAwcOANCvXz+b/aKjowkLC1PKm3Pw4EG6du1qkzDr9XoyMjIA6NSpE3FxcTbHHD16lNraWgC75btLS0s5efIkAHFxcXTq1EkpM5lMSpsCAgLs5vfm5ORQVWX9pr9Pnz5oteee4oqKCvLy8gCIiYmxGVIN1rlzFosFHx8fevXqZVOWn5/P6dOnAUhMTLSZXF1dXU1WVhYAERERREdH2xx76NAhZanypl8IFBYWUlxcDEBCQgL+/v5KmU6nIzMzE7AujNB0LPyRI0eoq6tDo9HYxbqkpISCggLA+uVFcXExRqMRrVZL9+7dOXjwIACBgYF069bN5tjs7GxlfH3fvn1thjGUl5dz/PhxADp37kxYWJjNsWlpaQD4+vrSs2dPm7Ljx49TXl4OQFJSEl5eXkpZVVWVcpUsMjKSqKgom2MPHjyI0WjEy8uLpKQkm7KCggJlJcIePXrYXE2rra3l6NGjAISGhhIbG2tzbGZmJjqdDnd3d/r27WtTVlxcTGFhIQDx8fEEBQUpZfX19Rw+fBiAoKAg4uPjbY7NysqiuroasL63Gs9NKCsr48SJEwDExsYSGhqqlJnNZtLT0wHrgkSenp5otVrl9Zibm0tlZSUAvXv3tllwobKyUhkOGx0dTUREhE2bDhw4gMlkwtvbm8TERJuyEydOUFZWBkDPnj3x9fVVympqajh27BhgXSEvJibG5tiMjAz0ej1arZY+ffrYlBUVFXHq1CkAunXr5rQ+YtasWaxcuZL6+nquvfZaRo4cSWRkJNu3b1euxPr7+zNp0iTlNXwpfUTDe9nX15fevXsrZWroI4KDg5Uyo9HYoj7CbLHgF9WNtBNV7M2vYN/xCjKLqjA1WekhPtSX6xLCGJYQSmBdEcE+7vj6etKzp+373Bl9xOHDh5XXWWRkpKr6CH9/fxISEmzqvdL7iCNHjiifZRqNRs4jcO0+AsDb2xuTyaR8lrXlecSZM2eora3Fw8PDbk2Xuro6ZbEiHx8fm7L6+nqMRuvtury8vGzOe0wmE3q9dYE5rVZrt9CRTqfDbDY7rNdgMCir4Dd8njcwm83odDrAOly08WNpXC+Aj4/trcKMRiP19fUO67VYLNTVWdcWcHNzs1sMSK/XYzKZAGtsGvc9DfU2PE9Nj294Dh3VeznPYXOxafwcNq33Yp7Dxn1W03qbew4d1dv4OWwuNo5ehw191oWew6axMZlMynvDUR/hDG2SxDZ80Di652FISAgWi4Xy8nKio6MpKyvDy8vL4TC6kJAQpa7mGI1Gmq5PZbFYlBdHQ0CaHuPofo1gfVE2lDW8+Bprab1N29S43oYXX9N6LRaL3QuuYf/Lqfd8j7VxvU0fa+Pn0FG9DY/V0dX5pvXW1dUpH4CuGJsLPVaDwYDRaHQ4Ub252LSkXoPB4LCsuXobjr1QvY609DlsOEFr/Hps3KamLvRY6+vrMZvNDudWtMZz6Og5amm9bf06XLZsGTt27GD79u0YjUa+++47m/09PDxYs2YNwcHByknmpfQRDY+x4cPaUXtdtY84X72NY1NeU8++/Aq+33eK9MJqjp42UGs4aVd3qI8bfSM8uSEpmpsHdqNz8LmTkl27CjAYzC7TR+j1emWb2voIR8df6X1E488yT09POY/AtfqIpvU27Gs0GpXnpC3PIxr/a+p82xuXX6isuXov529e7LGNy8537KXU2/TYpvFp+L0tnt/LfawXW29Ljm3ubzYub/r+aauYN/dedoY2nfjT3NDjxmUt3e98Gr4RbXpcQ4fV+NuNxsc46uTB+u1EQ5mjE5KW1tu0TY3rdfQh3ZDgOarX3d39supt/P/56m36WBs/h47qbXisjmLUtF6NRmPzz9Vic6HH2vA4L/QcXkq951v6v7l6G45trt7LfQ6NRqMSL0dtaupCj9XT0xOTydTqz6Gbmxt79+6loKCAQ4cOMXLkSOUbwpbW29avQ19fX7777jueeeYZXn/9deWbfICbbrqJp556imHDhlFRUXFZfUTjx3a+9rpqH9G0Xo27ltwKA3mFVZzYs4+9+RXklNbY1ePt4UZy52AGxgUzoEsw3QI16CusV9Y6d44gLNj2W3VX6yOa7ueoXlftIy70WJtyVh/h4eGB2Wy+6M9WR31E488xOY+wr7c9+4iL6b8bf5a15XlE439NNWw7Xx/QknPh89Xb3N+83HobpKam2k39azB37lxWrFhBbGwsN998M6+++ipgvSLet29fPvjgA6ZNmwbA9u3b+f777/m///s/u6ueDX/3fImUm5ubw6TtYh5rc2UXqre5uJ6vXldsU0vqdVTW3HvZGS76FjuNlZaWEh4ebneLnczMTJKSkli1ahUPPfSQzTGPP/44K1eupLa2Fm9vb+bPn8/y5cupqamxu9QeHh7O6NGjWbNmjbJNbrEjhGjw0UcfkZKSYrOqr1arZcqUKbz88st2w8RcgU6nIy0tjbq6Orp37243jLmjKqysY+/xCvYeL2fv8QrST1aiN9pfJeke5seAuGAGxnViYJdgEqMC5JY3QgiXkJ+f7/A2JFeChiR29erVdlMmYmJiiIuLY+/evQQFBSlD5I8dO0bPnj1tktjly5czf/588vPz7aZPCNd1vte2qm6x0xIJCQn4+Pgo82YaS09Pp0ePHso47Ia5sOnp6Vx77bXKfkVFRZSWltrNARJCCICXX36ZOXPm2G03Go2sWbOGvXv38tNPPzmc1uBM3t7eNn1dR1RbbyT9RCX78iusiWt+Oaeq9Hb7Bfl4MKCL9Qprw5XWYF+58b0QQjhL3759GTJkiMOygQMHtnNrzqmtrbW7GCaubG2SxGq1WsaPH8+GDRt44YUXCAgIAKwT4rdu3cqf/vQnZd+xY8fi7e1NamqqzYldamoqGo2GiRMntkUThRAqlp2dzdy5c5XfR48ezYQJE8jLy+Ott96ioqKCw4cPk5KSwmuvvebElgqz2UJOWY1ylXVffgUZRWfsVgx2d9OQFBXAwLhgBnbpxIC4YLqF+uHmduEpJUII4cpq6+3n1zqDr2fb3j4sNjaWsWPHnvf2mykpKTz77LMANlf1fvzxR371q18B8PHHH/Pyyy+zf/9+3N3duf7663n++edtFk+bNm0amzZt4ocffuCxxx7jl19+oX///vz0009t+OiEq7mkV/O///1vampqlMvHhw4d4rPPPgPg1ltvxdfXl6eeeoqrr76a2267jXnz5qHT6Vi8eDFhYWE2J58hISGkpKSwaNEiQkJCGDNmDDt37mTp0qXcd999cnsdIYSdN954Q1lYYM6cOfztb39Tyh588EH69etHbW0t77//PsuXL7dZcVS0rYra+kZXWCtIy6+gss5+QZjIQC8GdulkTVrjOtGvcxA+nq4xz0YIIVrTVYu/cXYTAMhdPu6y6zCZTHaLXjmaP+zIgw8+SHl5Oa+99hr//Oc/ldW1G1YNX7ZsmXL+v2jRIvR6PS+88AK/+tWv2LVrl82q5TqdjgkTJjB79mzmz5/vMosNifZzSUns7NmzlSXeAdatW8e6desA69Lw8fHxJCUlsW3bNp588kkmT56MVqtl1KhRrFixwm5J+IULFxIQEMCqVatYsWIFUVFRzJs3j4ULF17GQxOupKSkRFmcpGn8hWty5Zj95z//UX6eP3++TVn37t2ZOnUqq1evpqamhj179jBixIh2bqFztHfMDCYzmUVn2Jt/9irr8QqyHSy+5KV1Izk2iIFxnZShwdFB9gt6dESu/D4T9iRe6iMxa11Dhw6122YwGFqUyMbGxipXYAcOHGgzJzY3N5dly5YxZ84cnn/+eWX76NGj6dGjB8uWLeOjjz5Stuv1ep5++mnuvvvuy3k4QsUuKYltvIhKcwYPHszmzZtbtO8jjzzCI488cinNESpQUFCg3JZAPkTUwZVj1nAPNI1GY3PvwAaN58E27NsRtHXMiip11oWXzt6Tdf/JCnQG+8WXuoX5MVCZx9qJpGhZfOl8XPl9JuxJvNTHFWJ2aNnNTvm7beH999+3uQ85tPxKbHO+/vprTCYT06dPt7lvq6+vL8OHD2fbtm12x0yaNOmy/65Qr7YdHC+EEG2gd+/e7NmzB4vFwscff8w999yjlOn1emV6A2Az/Ei0jNls4UR5HYeLqsgoPMPhwirSTlRQWKmz2zfQW8uARldYB8QG08lPFl8SQogGbT0XtT317t37vAs7XY5Tp6y3Rjvf4lCenrafK4GBgfj5+bV6O4R6XDnvKuHSunbtitlsllshqYgrx+y+++5ThhU9/PDDVFVVMXHiRPLy8li6dKky3eHmm2+ma9euzmxqu7qUmFXWGcgsOkNGURUZRWfIKKwis+gMNfX284vcNJAUFajMYx3QJZjuYbL40uVw5feZsCfxUh+JmTo03BJv48aNREZGKtsb36O5sebuhSo6BkliRbtwNORTuCaLxcK2bdv47rvvqKuro0ePHtxxxx2EhoY6u2mKG264gYkTJ7Jx40aqq6sdTkfw8fHhueeec1ILnaO595nRZCa3rIbDhWcT1sIzZBSd4WRFncP9PbVu9Ir0JzEykKSoAJJjg+gXG3RFXVFwBdI3qovES30kZq7Fy8sLgLo628+esWPH4u7uTlZWFhMmTHBG04TKyNmIEEKRnp7OXXfdxYEDB2y2P/bYYzzxxBMsWbLEJb7N1mg0rFmzhhkzZrB27Vq78vDwcD799FMGDRrkhNY5X2m1nswi6zDgjLNXWY+cqqbeaD9/FaBzsA9JUQEkRQeQFBVI7+gA4kP90Mo8ViGEEK2oX79+ALz00ktMmzYNDw8PkpKSSEhIYMmSJcybN49jx45x8803ExwcTFFREf/73/8ICgpi8eLFTm69cCWSxAohADhy5Ag33HAD5eXldmU6nY5ly5ZRXV3NypUrndA6ez4+Pnz66acsWLCA1NRUsrOz8fPzY/To0dxxxx34+Fz5q9/qjSaOFVefvapqTVgPF56htFrvcH9fT3eSogJIPJuoJkUFkhgVQJCPRzu3XAghREd044038sQTT/DBBx/w+uuvYzablfvELlq0iL59+/Lyyy/z0UcfodfriY6OVm7ZKURjGovFYrnwbq7DbDYr96dtEBAQ4BJXh8T5GY1GZaW51ljFTrS+CRMm8M9//hOwflM6d+5cOnfuzMaNG/nHP/6B2Wy9infgwAHlnm6ifVgsFoqqdNZFlpShwFVkldRgMtt34RoNxIf6Wa+uRgWSFB1A76hAYjv5yPxVFyN9o7pIvNSnPWOWn5+v3EJGXDqLxaLETOa+uobzvbadmZdJDyzaxcGDB5Ul7vv37+/s5ogmTpw4wZdffglAdHQ0P//8M9nZ2RgMBmbNmkVMTIxy3+Y33niDV155xZnNvaLV1hvPLrRkXWTpcNEZMovOUFlncLh/kI+HclXVz1hJrL+G7qHeXDvY8QqPwrVI36guEi/1kZipT9Nb7AjhiCSxQgjS0tJoGJTx+9//noCAAJvyBx98UEli9+zZ0+7tuxKZzRbyy2ubLLRURd7pWhyNj9G6aUgI91fmrTZcXY0M9FK+qU5LS7OerGllZIoQQgghrlySxIp2ERgYiNFolOFXLqrxcJ2GYcONY9awrem+onkWi4WymnryymrIKa0lt7SG3DLrv+ySGmod3MYGIDzAi6SoAHpHBypDghMi/PDSujf79+R9pj4SM3WReKmPxEx93N3dlSuxQpyPvKNFu+jWrZuzm+BUFouF3bt3k5OTg6+vL9dff71LLfs/YMAA3N3dMZlMfPjhhyxatMgmZk899ZTy89VXX+2MJrosi8XC6Zp6a3JaWktuWQ05pTXklVmT1jN643mP9dK60Ssy4OzKwIH0jgogMSqAUH+vS2pLR3+fqZHETF0kXuojMVOfhtvwCNEcSWKFaGP//Oc/SUlJIT09Xdnm6+vLPffcw/LlywkMDHRi66xiYmKYMGECGzZsoLi4mKFDhzJ37lxiY2NZv34977zzjrLv/fff78SWOofFYqG81kBOaQ25pTXWK6tl566sntGdP1HVaCAmyIf4MF/iQ/2s/8L86BbmR3yor9zGRgghhBDiIsnqxEK0oXfffZc//OEP5y0fNGgQ27Zts5uD6gzZ2dlce+21lJaWnnefBQsW8Oyzz7Zjq9qPxWKhotZATlnN2eS00fDf0hqqWpCodg31tSaooX50DfVcZ2KsAAAgAElEQVSlW5gfXUJ88fZofhiwEEII9ZPVicWVyhVXJ5YkVog2kp+fT0JCAgaDdVXZa665hokTJ5KXl8cHH3xAbW0tAHPmzOFvf/ubM5uqOHz4MNOnT2fXrl022/39/Vm4cCFPPvmk6ueolDcM/T07TzXvbJKac4FEFSAmyJv4MD+6hvrRreHKapgfcZKoCiFEhydJrLhSSRLbCiSJVafs7GxlYYXu3bs7uzntYtGiRTzzzDMAzJo1izfeeENJAA8dOsSgQYPQ6/UEBgZSUFCAn5+fM5ursFgs/Pe//2Xt2rXU1dURHx/P7NmzXWLYc0tV1NYr81JzlMWUrFdWz3ermgbRQd5nk9NzSWr82Surrp6odsT3mdpJzNRF4qU+7RkzSWJbh16vVxZ2kvmxrsEVk1iZEyvaxZkzZ5T7tHUU33//vfLz0qVLba5gXnXVVUyZMoUPPviAqqoqdu/eza9//WtnNNOORqNh6NCh+Pj4KDFzpQTWbLZQWqOnqFJHYaVO+b+wso7cMuuV1Yra5hPVqEBv4sOsw327np2n2u3sFVUfT9dOVJvTEd9naicxUxeJl/pIzNTHZDLJ6sTigiSJFap05swZPvzwQzZv3kxdXR0JCQnMnDmTQYMGObtpCp1OB1iTwvDwcLvy6Ohou307OpPZQskZPYWVdeeS1CodBRXnfj9VpcNovvAAkqhAb2VeavzZRZTiw/zoGuKn6kRVCCGEEKKjk+HEol2YTOfuh+nufnkJxL/+9S9+//vfU1FRYVc2ZcoUUlNT8fHxuay/0RqmTp3K2rVrAfjkk0+YOnWqUmY0GunduzfHjh0DICsry+WGprVmzAAMJjPFZ/QUVdbZXUFt+L34jB5TCxJUNw1EBHgTFeRNdJD1/6hAb+JCziaqob74ena87+haO2ai7UnM1EXipT7tGbMreThxamoqM2fOBGDr1q2MGDHCptxisdCzZ0+ysrK44YYb2LZt2yX/rcapiVyNvXgFBQW8+eabTJw4kQEDBrRKnTKcWHRYrfXBsX37dn77299SX1/vsHzt2rWYTCbWrVvn9I7vD3/4g5LEzp49G51Ox29/+1tyc3NZvHixksCOHDnS5RJYuLiY6Y0miqv0SlLaOEFt+LmkWk9LvjJzd9MQFXg2MQ3yJjqwIVn1UZLWiAAvuTWNA3JSrT4SM3WReKmPmmOWm5vLm2++yc8//4zRaKRPnz7MmjXLqfdrDwgI4J133rFLYn/44QeysrJa5W4Lzj5/U7uCggKeeuop4uPjWy2JdUWSxApVmTdvnpLA3nbbbSxZsoTOnTuzYcMG5s2bR3V1NevXr2fHjh0MGzbMqW296aabGDNmDN9++y3l5eXMmDGDGTNm2Ozj4eGhLP7kqnQGU6OhveeumhZUWH8vqtRRWu34S4WmPNw1ZxNTH5urqNb/fYgO8ibM3wt3N/kAE0II0XH97W9/4/HHH7e5krx9+3beeust7rnnHt566y2nzPOdOnUqH330EatWrbJZL+Odd97huuuuo6qqqt3b1Jrq6urw9vaWRFoF5FKGUOzdu5dHH32U8ePHM3XqVN59913lNjCu4MiRI/z4448A9OrVi88//5whQ4YQHR3NH//4R5vb1Lz99tvOaqbCzc2NdevWccsttzgsDwwMZMOGDe2ebOsMJk5W1HHgZCX/OVLCxr0nefenHFZ+m8mCz9OZ/eFupr6xg9Ev/sDAZd+StOhrRqzYxp1v/cKfPk3jha8zeX9HHpsPn+LAySolgfXUutE11Jeh3UP47cDOzB6RwLIJfXjz7sF8+fCv2LnwJjKfvoUfnxjF2gev45U7BzL/1t7MvL4bY/tGM6BLMJGB3pLACiGE6NBSU1P585//bJPANvbee+/xf//3f+3cKqs777wTgI8//ljZVllZyfr167n33nvt9q+vr+eZZ54hKSkJLy8vwsPDmTlzJiUlJTb7ffrpp4wZM4bo6Gh8fHzo3bs38+bNo6amxma/7Oxs7rjjDmJiYvDy8iIyMpIbb7yRffv2KftoNBqWLl1q15b4+HibiwmpqaloNBq+/fZb7r33XsLDw/H19UWv1wNw9OhR7rrrLiIiIvDy8qJ3796sWrXKps5t27ah0WhYs2YNTz75JNHR0fj7+zN+/HhOnTrFmTNnuP/++wkLCyMsLIyZM2dSXV1tU4fFYuG1115jwIAB+Pj40KlTJyZPnkx2drbNfiNGjKBv377s3LmT4cOH4+vrS/fu3Vm+fDlms1lpT8OV+pkzZ6LRaGyej5Y8f2ohV2IFtbW1zJgxg3Xr1tlsX7t2LfPmzeOTTz5h1KhRl/U3ysvLMZvNuLm50alTp0uqIzMzU/n59ttvR6u1ffneddddzJo1C4CMjIxLb2wrCgwM5KuvvuKnn35i9erVZGdn4+fnx5gxY7jnnnsIDg6+rPpNZgsVtfWcrrH+K6+tp6ymnvKaek7XGDhdo+d0reHs79Z/dQbHH4rN8fFwJzrIm+hgb6ICfZpcQbUO9e3k6yHfXDpZa7zPRPuSmKmLxEt91BYzg8HAwoULld/nzJnD448/TkBAAO+//z5z585Fr9fz5ptv8vjjj5OQkNCu7QsMDGTy5Mm8++67PPDAA4A1oXVzc2Pq1Km89NJLyr5ms5kJEybw448/8sQTTzBs2DDy8vJYsmQJI0aMYNeuXcoaJkePHuXWW29lzpw5eHt7k5GRwYoVK/jf//7Hli1blDpvvfVWTCYTL7zwAnFxcZSWlrJ9+3aH66S01L333su4ceP44IMPqKmpwcPDg0OHDjFs2DDi4uJYuXIlUVFRfPPNNzzyyCOUlpayZMkSmzoWLFjAyJEjSU1NJTc3l8cee4w777wTrVZL//79+fjjj9m7dy8LFiwgICCAV155RTn2gQceIDU1lUceeYTnn3+e06dPs2zZMoYNG0ZaWhqRkZHKvkVFRfz+979n7ty5LFmyhM8//5z58+cTExPD9OnTGTRoEKtXr2bmzJmkpKQwbtw4AGJjY9vs+XMWSWLbWHV1NTt37lRW0E1MTHR2k2xYLBbuuusuvvjiC4flJSUljBs3jp9++onBgwdf8t85fvy4ssT9pX6INL5XWGlpqcO2OtrX2TQaDcOHD2f48OHN7mexWKipN1Fe0zgRPfuvtt52+9nEtbLO0KJ5pk15uGsI8fOkk68nIX7n/nXy9STU3/p/eVE+flozUYHeDBsyQBJUFWiN95loXxIzdZF4qY/aYvbtt99SUFAAWKdNNR5l9sc//pGKigpSUlKwWCykpqby9NNPt3sb7733XkaOHMnBgwfp06cP7777LrfffrvdfNi1a9fy9ddfs379eiZNmqRs79+/P1dffTWpqanMnj0bgJSUFKW8pqaGwYMH06NHD26++Wb2799PcnIyZWVlZGZm8tJLLzFt2jRl/8Z1X4obb7yRN954w2bbn//8ZwICAvjpp5+UYdOjR49Gr9ezfPlyHnnkEZvXU3JyMqtXr1Z+z8jI4KWXXuKRRx7hr3/9q3L8jh07+Oijj5Qk9pdffuGtt95i5cqV/PnPf1aOHz58OL169eLFF1/k+eefV7aXlZXxr3/9i2uuuQawTl3btm0ba9asYfr06QQGBtK3b18AEhISGDp0qM2xbfH8OYsksW2kurqaRYsW8c4779is2jVs2DCeffZZuwnxzrJt2zYlgQ0ICOAvf/kLEyZMIC8vj6VLl7J582Z0Oh0LFizgm2++cWpbr776ary9vdHpdHz00Uc8+eSTdOvWDbAmgM8++6yy7w033OCUNlosFmrrTVTrjZzRGanRG6lu+Kez/l9e25CInr1SWmNQEtN6o/mS/m6Qj4dNIhri50GInxchfh42iWnDPv5e2gsmpWmUnP3gd5MEVgghhGgHWVlZys+OkotJkyYpCV/jfdvTDTfcQEJCAu+++y4zZsxg586drFy50m6/TZs2ERwczPjx4zEajcr2AQMGEBUVxbZt25QkNjs7m5SUFLZs2UJxcbHNCsWHDx8mOTmZkJAQEhIS+Otf/4rJZGLkyJH079//slfC/d3vfmfzu06n4/vvv2f27Nn4+vratP3WW2/l73//O7/88ovNdLHbbrvNpo7evXsDKFdCG2/fuHEj1dXV+Pv7s2nTJjQaDdOmTbP5O1FRUfTv399uleeoqCglgW2QnJzcouHAbfX8OcsVkcROmjSJl19+ma5duzq7KYD1HqY33ngjO3futCvbvn07N910E5988gmTJ092QutsNZ47+ve//53p06cD1mEHmzZtIjExkby8PL799lvy8vIu+Tnu3LmzMpznUnXq1Ilp06bx9ttvU11dzaBBg7j33nuJjY1lw4YN/PTTTwB4enoqw4pbwmKxUGcwKYlmjd7EGb2BGr2Jar3hbPJp/blGb7JJTs/oz/7csK3eeElXRhvz0roR6udJpyZXSM93xbSTr0ebrNTbGjET7Utipj4SM3WReKmP2mLW+BaBJ06csCtvvM1ZtxPUaDTMnDmTV155BZ1OR69evRyONjt16hQVFRX8f3t3HhbFkf8P/D0HzAADcioMGIl4IIqazQp4giKGGLIGEzzxXNcnrv6i+2Q9sqJiohs3MZs12bjGDUa/iBeJbGJCEg8wWd2oEHeDGjWioIgHcoggwzEz9ftjnM703BzDzMjn9TzzAFVdNdVdU91dTFW1q6ur0Xy0o+rq6+sxevRoSKVSbNiwAb1794a7uzvKysowZcoUKBQK7n2PHTuG119/HW+99RZeffVV+Pr6YubMmdi4cWObV0YOCgri/V1VVQWlUon3338f77//vtmya/n6+vL+1u6zqfDGxkbIZDLcvXsXjDHekGFd+k+v8PPzM9hGIpFwx8gcWx0/e3ksOrEnTpzAqFGjcPr0acjlcnsXB2lpaVwHViKRYOrUqQgJCUFOTg4uXrwIlUqFOXPmIDY2FgEBAXYtq3buqEAgwLRp03hxEokEKSkp2Lx5MwDNnNS2dmL9/f3bV9BHNm3ahH+fOImfi6/hQaMSW7bvhEAsgcDVDZKegyB0dcfCxf8P+WVKPCy+avAtqPb1UC/MikeTtopQAHhIxPCUiOEhEUMmFUMm0by83V0MOqK6HVQ3F5FDfPPZUXVGOg/VmfOhOnMuVF/Ox9nqTHcNkq1bt2LBggVcJ6upqYn3RIPx48d3evm05s6di7Vr12Lbtm28kXC6/P394efnh6+//tpovLbTlJeXh1u3buH48eO8kXT6CyABQK9evZCRkQFAs+DngQMHkJ6ejubmZmzbtg2A5v5VuziTrqqqKqPl0L/n8vHxgUgkwqxZs7B48WKjabQjAdvL398fAoEA//73v41Ohevo6XHWHD9n8Vh0YgHNf6Zee+017Nq1y67lqKurw44dOwAAUqkUBQUF3Nj0119/HTNnzsT+/fvR0NCAjIwMrFq1yp7F5f4jxBjD/fv30b17d168boPXNiSlSo1mlRpNLWo0KdVoUqo0P1t0fleqLMSr0dSi87ve9s1cuOF2LZPexhNm9ulfd4F//et8q4+FQADIXA07nbJHHVFPqRgeEhFkEhfIJCLIpGJ4uGq29ZS4aOIepXOUjighhBBCnEdYWBiSkpLwxRdf4M6dOxgwYABSU1Ph5eWFvXv3orS0FAAgl8vtOpcxODgYy5cvx6VLlzBnzhyj2yQlJWHfvn1QqVSIjo42mZf2fkm/w6Y/T1Vfv379kJaWhk8//RRnz57lwkNDQ1FUVMTbNi8vz2in2Bh3d3eMHTsW//3vfzF48GCT3yR3hKSkJGzatAnl5eWYMmVKh+SpPY6Wvp01dfycxWPRifXy8kJVVRX27duPtze/A19fXzAAjAEMjBveqfu3Jp5x22k2MB3PNJEG+XLbPcrjxIlTaBR5QOwtw6SXXoJH4JO4dq8eagaoGcPcZWnIOV4ICEU49P15jL1WBRVjUKkZlGoG9aOfKp0XL5wxqFRqTRh7FKZiZvPQ/K6GSg2o1DppVQyCMYvQPSQREAox8e1v0LtPH6jUDM1KNeoaFCh2HYng38dCKHbFy0cb0PxNLlQd/bVlOwjA4CIEPFyF8PF0/+WbT72OKNcJddXroOr87uYigpAe70IIIYQQO9q2bRtGjhyJ69evo7a21uCxLm5ubti7d6/dF7HctGmT2fhp06YhKysLEydOxNKlSxEVFQUXFxfcvHkT+fn5mDRpEpKTkzFixAj4+Pjg5Zdfxrp16+Di4oKsrCz8+OOPvPyKioqwZMkSpKSkoG/fvnB1dUVeXh6Kiop4XwrNmjULa9aswdq1axEbG4uffvoJf//739GtWzer923Lli0YNWoURo8ejUWLFiE0NBR1dXUoLi7GoUOHeCsmt8fIkSOxcOFCzJs3D4WFhRgzZgw8PDxw+/ZtnDhxApGRkdy8YWuFhYXBzc0NWVlZGDBgAGQyGeRyOSorK606fs7CITqx9fX1SEtLw4EDB1BdXY3w8HCsWrXKYHirKd3m/AO9FJrJ0FHvnLZlUa0S/LLma/pTAMZuPm4QHzR3CwCgHMDU7ac6r2DGCPzgFqYZX18JoLKkmhct9g7kfle0GC465CISQCIWQSIWal4uOr+LRXDlwoVmt9PE62zD2/6XeFcxPx9bzAUlhBBCCLGX4OBgnDp1CitWrMD+/fvR3NzMxY0fPx5/+ctf8Ktf/cqOJbSOSCTC559/ji1btiAzMxNvvvkmxGIxQkJCEBsbi8jISACaeZ5ffvklXn31VaSmpsLDwwOTJk3C/v37efsZGBiIsLAwbN26FWVlZRAIBOjduzfeeecd3nNzly9fjgcPHmDnzp3YvHkzoqKicODAAUyaNMnqskdERODs2bN44403kJaWhoqKCnh7e6Nv376YOHFixx0kaL5xjomJwYcffoitW7dCrVZDLpdj5MiRBos4WcPd3R07duzA+vXrMWHCBLS0tGDdunX4/e9/b9XxcxYCxtq7DE37TZgwAQUFBdi0aRP69euHPXv24KOPPkJWVhZmzJjB21atVvNW+wWAuL+dQo1CCVsTCAABNMMeBNzfmkDt30zNoFA0AIxBKBJB5uEOAQQQCACxSIiWpkbU1FQDahVkHu6QBwZCJBRwL7HO75q/hRDqhgsEEIke/S14tI1IJ04ohFgkgFBgLC/+79p8844dQ1bm/4ExNaBWganVYKoWQNkMpmpG6BM9sXvXx+ju68PrbLqKhRBZ+c3ljz/+yC1xP2TIEFtWE+kgVGfOh+rM+VCdOReqL+fTmXVWVlaGnj17dmielZWVKCwshFKpREREhMFCP4+jhoYGMMYgEAjg7u5u7+IQmP5sG+uXeXp6dspCanb/JjY3NxdHjhzBnj17MH36dADA2LFjcf36dSxfvhxTp06FSCQym0fjv9JQdvlnCIUCnCs6h8DAHr90Lo10PAFwHUvgl86o0U5qG+Y1Dhs2DIWFhQA0QxreeOMNyOVyHDx4EIsXL+bmmR49ehTx8XGtzr+jTR02D7FPSJCWloaSkhIu3MXFBVOmTMGWLVuMroZGCCGEEEJsx9/fH4mJifYuBiEOx+6d2JycHMhkMqSkpPDC582bhxkzZuD06dMYMWKE2TzulZVArXiAScnJCO/dsf8Ba4uNGzfi2WefhVqtRmZmJjIzMw22GT9+PG8FOnubMWMGpk2bhu+++w7Xrl2Dh4cHYmNjERgYaDmxFbTP2RKL7f6RI1aiOnM+VGfOh+rMuVB9OR+qM+cjFAq5b2IJMcXuLfr8+fMYMGCAwcll8ODBXLylTiwAeHt78yaYNzU1cY+P8fHxwRNP8NezvXLlChoaGgDAYHhJZWUlysvLAQBPPPEEfHx8uDiVSoXz5zUr33p6ehoM6ygpKUGPHj2wYcMGvP7662hsbDQoa3R0NLZt22bQOIuKisAYg5ubG/r168eLKysrQ3W1Zr5q//79IZVKubj6+nrugdfdu3c3eN7VTz/9xA2liYiI4MXdvn0bFRUVADQTwePi4hAXFwdA8wwr7aR6X19fg2EEP//8MxQKBQQCAVdfWvfu3cOtW7cAaJbz7tu3LxenVCpx4cIFAJpFufSXKb927Ro3NGHQoEG8b+Jrampw48YNAJo5I/pL52vL6+7uzntPALhx4wZqamoAAOHh4bwFER48eMB9C92jRw+DzvuFCxegVCohkUgQHh7Oi7t16xbu3bsHAOjTpw88PDy4uIaGBly5cgWAZs5HSEgIL+3ly5fR2NgIkUjErWKtVVFRgdu3bwPQrLSnuyBBc3MzLl68CADo1q0bQkNDeWmvXr3KrcIXGRnJG9ZRVVXFPWcuJCSE9y27Wq3GuXPnAAAymYx7WLdWaWkpamtrAWge2K27Yl9tbS23amJQUJDBStfnz5+HSqWCVCpF//79eXE3b97kRij07duXN3zo4cOHKC4uBgAEBAQYPEbr0qVLaGpqglgsxsCBA3lxd+7cwd27dwFolsP38vLi4ux5jnjw4AEAYODAgbxz3/3793H9+nUAmpUn9R/BZekcoS2vfpvqyHOETCbj4hobG3H58mUA7T9HeHt7c3Fd6RwRHByMK1euoLm5GTdv3nS6c0RYWBgv38f9HKH7mXHGc0Rn3Ed05XNEXV0dGhoa4OLiAhcXF15ahULBdcz0n+/a3NwMpVIzLU4ikfDKq1KpuMfFiMVig5VyGxsboVarjebb0tKClpYWAJqnUeh+ltRqNXePKhKJDBaJ0uYLaBaS0r1nVSqV3Dxd/XwZY9yquEKhkPc5AzTtSqVSAdA8xUP33KObr7ljaCzf9hxDc3Wjewz1823NMdQfFm2ubnSPobF8dY+huboxdgy15yxLx1C/blQqFdc2jJ0j7MHundiqqiqj4/u1Dwc29UwnXT179sR7773HO2EzxrgPh7ZCdCmVSi5en1qt5uK0Hz5d1uSbkJCAmTNnYteuXTh69CgUCgV69uyJcePGYdiwYbybGN18GWMGHzhA8+HRvq/+NGbd8mo/1Pr5mtpX3Xz191X3GBrLV7uvxv5TZm2+9qgbbRlMlcnUMVQqlUbH+JurG2vybWlpMRpnLl9tWkv5GmPtMTSWXrdM+izta3NzM9RqtdHpAR1xDI0dI2vzdZTPoTVtmc4RdI6wJl9tWkv5GkPnCMN8HeVzSOcIw3wdpW40T6r45aXPVLhuvKU4c/m25z1bm1Y3zlTatuRrKa22vmxxfNu7r63N15q05t5TN16//diqzs21ZXuweycWMD/v1JqhBDt37jT4L5xAIOBO4saGkIjFYqMneUDz3wltnLEbEmvzlcvlWLNmDdasWQOA/x9UYxdpFxcXMMaM5isSibh89Y+JbnlN5av701S++vuqewyN5avdV2N1ZG2+9qob/TJb2lftflo6hm3JV6VSGY0zl682rbl823sMLe2rPkv76urqCpVKZZNjqFarW91uHPFzaE1bpnMEnSOsyVeb1ly+dI6gc0Rr8tX9aSrfrn6O0H3p04aZuq+15l7YVL7m3rO9+ZpKZyltW/K1lNbcMGNr823te1q7r6bydcQyWZOvMebasj3YfXXi4cOHQ6VS4cyZM7zwCxcuYNCgQfjwww+xcOFCLtyeq2ARQgghhBBiTFlZGUJCQmguJ3msMMZw8+ZNWp1YX2RkJPbu3Wsw6V4750Z/DhBxTjdu3ODqWH/uIXFMVGfOh+rM+VCdOReqL+fTmXUmkUigUCjosTDtpJ2/CsBgPijpfAqFwiHrwe5fXyYnJ6O+vh6ffvopL3zXrl2Qy+WIjo62U8lIR6qpqUF1dTW3IAJxfFRnzofqzPlQnTkXqi/n05l15ufnh8rKSpPzcYl1VCoVlEqlw8y97MpaWlpQWVnpkI/atPs3sc8++ywSEhKwaNEiPHjwAH369MHevXvx9ddfY/fu3Q4z7poQQgghhBBTRCIRAgICUFFRYXTRKGKduro6bu6rp6envYvTpQmFQgQEBDhkf8zuc2IBzdLuq1evxoEDB1BdXY3w8HC89tprmDZtmsG2NCfWOTU1NXEnJEcckkAMUZ05H6oz50N15lyovpwP1ZnzoTpzHvbslzlEJ7Y1qBNLCCGEEEIIIfZlz34Z9fwIIYQQQgghhDgN6sQSQgghhBBCCHEadl/YqbWMjX6myfOOT3eoAU3Sdw5UZ86H6sz5UJ05F6ov50N15nyozpyHsT5YZ81Udbo5sUqlEg8fPrR3MQghhBBCCCGE6PDw8IBYbPvvSWk4MSGEEEIIIYQQp0GdWEIIIYQQQgghToM6sYQQQgghhBBCnIbTzYlVq9UGk4gFAgEEAoGdSkQIIYQQQgghXQtjzGAhJ6FQ2CnPiXW6TiwhhBBCCCGEkK6LhhMTQgghhBBCCHEa1IklhBBCCCGEEOI0HK4TW19fj2XLlkEul0MqlWLo0KHYt2+fVWkrKiowd+5c+Pv7w93dHcOHD8exY8dsXOKuLS8vD/Pnz0d4eDg8PDwQHByMSZMm4YcffrCYdufOndx8Zv3XnTt3OqH0Xc/x48dNHvNTp05ZTH/t2jVMnjwZ3t7ekMlkSEhIwNmzZzuh5F3X3LlzTdaZpXqjNmZ7dXV1WLFiBSZMmICAgAAIBAKkp6cb3fbs2bMYP348ZDIZvL29MXnyZFy7ds3q9zp69CiGDx8Od3d3+Pv7Y+7cuaioqOigPek6rKkzlUqFv/71r0hMTERISAjc3d0xYMAArFq1Cvfv37fqfeLi4oy2vcTERBvs1ePN2nZm6nwZHh5u9Xvt27cPQ4cOhVQqhVwux7Jly1BfX9+Be/P4s7a+zF3brKkzamMdozX38o50HbP9k2hbafLkySgoKMCmTZvQr18/7NmzB9OnT4darcaMGTNMpmtqakJ8fDzu37+PLVu2oHv37vjggw+QmJiIo0ePIjY2thP3ouv4xz/+gaqqKixduhQRERG4d+8e3nnnHcTExOCbb77BuHHjLObx8ccfG5ys/Pz8bFVkAhYgMxsAAAyaSURBVODPf/4zxo4dywsbNGiQ2TT37t3D6NGj4ePjgx07dkAqleLNN99EXFwcCgoK0L9/f1sWuctas2YNXn75ZYPw559/HhKJBMOGDbOYB7Ux26mqqsL27dsxZMgQvPDCC/joo4+Mbnfp0iXExcVh6NChOHDgABobG7F27VqMHj0a//vf/xAQEGD2fb799ls8++yzeO655/DZZ5+hoqICK1euRHx8PAoLCyGRSGyxe48la+pMoVAgPT0d06dPx4IFC+Dv74+zZ89iw4YNOHToEAoLC+Hm5mbxvXr37o2srCxemLe3d4ftS1dhbTsDADc3N+Tl5RmEWSMrKwupqalYsGAB3n33Xfz8889YuXIlfvrpJxw+fLhd+9CVWFtf33//vUHY6dOnsWzZMiQnJ1v1XtTG2s/ae3mHu44xB/Lll18yAGzPnj288ISEBCaXy5lSqTSZ9oMPPmAA2H/+8x8urKWlhUVERLCoqCiblbmru3v3rkFYXV0d69GjB4uPjzeb9uOPP2YAWEFBga2KR/Tk5+czACw7O7vVaZcvX85cXFxYaWkpF1ZbW8v8/f3ZlClTOrKYxILjx48zACwtLc3sdtTGbE+tVjO1Ws0YY+zevXsMAFu3bp3BdikpKczf35/V1tZyYaWlpczFxYWtWLHC4vsMGzaMRUREsJaWFi7s5MmTDADbunVr+3ekC7GmzpRKJausrDRIm52dzQCwzMxMi+8TGxvLBg4c2CFl7uqsbWdz5sxhHh4ebXoPpVLJgoKC2IQJE3jhWVlZDADLzc1tU75dkbX1ZczcuXOZQCBgV65csbgttbGOYe29vKNdxxxqOHFOTg5kMhlSUlJ44fPmzcOtW7dw+vRps2n79++P4cOHc2FisRipqak4c+YMysvLbVburqx79+4GYTKZDBERESgrK7NDiYit5OTkYNy4cejVqxcX5uXlhcmTJ+PQoUNQKpV2LF3XkpGRAYFAgPnz59u7KF2eNY94UyqV+OKLL/Diiy/Cy8uLC+/VqxfGjh2LnJwcs+nLy8tRUFCAWbNmQSz+ZQDViBEj0K9fP4vpCZ81dSYSiYyOVoiKigIAur51ss54lOKpU6dw+/ZtzJs3jxeekpICmUxG7awV2lpfdXV1yM7ORmxsLPr06WODkhFjrLmXd8TrmEN1Ys+fP48BAwbwdg4ABg8ezMWbS6vdzljaCxcudGBJiTm1tbU4e/YsBg4caNX2SUlJEIlE8PX1xeTJk83WM+kYixcvhlgshpeXF5555hmcOHHC7PYKhQJXr1412cYUCkWr5kSQtqutrcUnn3yC+Ph4PPnkk1aloTZmX1evXoVCoTDZfoqLi9HY2Ggyvba+TKWn+uw82mGq1l7frl69Cl9fX4jFYoSFhWH16tVQKBS2LGKXp1AoEBgYCJFIhJCQECxZsgTV1dUW05lqZy4uLggPD6d21gn27duHhw8fYsGCBVanoTZmG/r38o54HXOoObFVVVXo3bu3Qbivry8Xby6tdrvWpiUda/HixXj48CFWr15tdrvAwECsXr0aMTEx8PLywrlz57Bp0ybExMTg5MmTGDJkSCeVuOvo1q0bli5diri4OPj5+aG4uBhvv/024uLi8OWXX+KZZ54xmq6mpgaMMWpjDmDv3r1QKBT47W9/a3FbamOOQds2TLUfxhhqamoQFBTUpvTU9jpHeXk5Vq1ahV//+tdISkqyuP2oUaMwdepUhIeHQ6FQ4KuvvsJbb72FEydOID8/H0KhQ32P8FgYMmQIhgwZwq3x8O233+Ldd9/FsWPHUFBQAJlMZjKtpXZWWlpqkzKTX2RkZMDb2xsvvviiVdtTG7Md/Xt5R7yOOVQnFoDZ4QeWhia0Jy3pGGvWrEFWVhbef/99PP3002a3TUxM5K0gN2bMGDz33HOIjIzE2rVr8dlnn9m6uF3OU089haeeeor7e/To0UhOTkZkZCRWrFhhshOrRW3M/jIyMuDn52fVohfUxhxLe9uPqW2o7dledXU1Jk6cCMYY9u/fb9XN8YYNG3h/T5w4EaGhofjjH/+Izz77zOqFa4j1/vCHP/D+TkhIwFNPPYWXXnoJ//znPw3ijaF2Zh8XLlzA6dOnsXjxYkilUqvSUBuzDXP38o50HXOof1H4+fkZ7Ylrh4EY6713RFrSMdavX48NGzZg48aNWLJkSZvyCA0NxahRo6x63AvpGN7e3khKSkJRUZHJITg+Pj4QCATUxuysqKgIhYWFSE1NbfNqtNTGOp92bqWp9iMQCMyupmkpPbU926qpqUFCQgLKy8tx5MgRoyPGrJWamgoA1P46UXJyMjw8PCwec2pn9pWRkQEArRpKbAy1sfYxdS/viNcxh+rERkZG4uLFiwYLxJw7dw6A+UeAREZGctu1Ni1pv/Xr1yM9PR3p6en405/+1K68GGM0BKSTMcYAmP5PmJubG/r06WOyjbm5ubXrxo5Yp6Mu8tTGOldYWBjc3NxMtp8+ffqY/eZBe/0ylZ6ub7ZTU1OD8ePHo6SkBEeOHDE6n6stqP11LmvOeZGRkQAM25lSqcSlS5eondlQc3MzMjMz8fTTT2Po0KEdkie1sdYzdy/viNcxh6rh5ORk1NfX49NPP+WF79q1C3K5HNHR0WbTXrp0ibeCsVKpxO7duxEdHQ25XG6zcnd1b7zxBtLT05GWloZ169a1K6+SkhKcPHkSMTExHVQ6YklNTQ2++OIL7uHupiQnJyMvL4+3KmddXR0OHjyI3/zmNwYLspGO1dTUhN27dyMqKqpdN1PUxjqfWCzG888/j4MHD6Kuro4Lv3HjBvLz8zF58mSz6YODgxEVFYXdu3dDpVJx4adOncLly5ctpidto+3AXrt2DYcPH+ZNxWirXbt2AQC1v070ySefoKGhweIxj46ORlBQEHbu3GmQvr6+ntqZDX3++eeorKy0aq0HS6iNtY2le3mHvI61+qE8NpaQkMB8fHzY9u3bWV5eHvvd737HALDdu3dz28yfP5+JRCLe8yobGxvZwIEDWc+ePVlWVhY7cuQIS05OZmKxmB0/ftweu9IlbN68mQFgiYmJ7Pvvvzd4aRmrs/j4eLZ+/XqWk5PDjh07xv72t78xuVzOPD092blz5+yxO4+96dOns5UrV7Ls7GyWn5/Ptm/fzvr378/EYjE7cuQIt924ceOYSCTipa2oqGBBQUEsMjKS5eTksNzcXDZmzBjm6enJLl682Nm70uXs27ePAWDbt283Gk9tzH5yc3NZdnY227FjBwPAUlJSWHZ2NsvOzmYPHz5kjDF28eJFJpPJ2JgxY1hubi47ePAgGzRoEJPL5ayiooKXn0gkYuPGjeOF5efnM7FYzJKTk9mRI0dYVlYW69mzJxs0aBBrbGzstH19XFiqs4aGBjZs2DAmEAjYli1bDK5txcXFvPz06+y7775jzzzzDNu2bRs7fPgw+/zzz9miRYu47VQqVWfvstOzVGelpaVsxIgR7L333mO5ubnsq6++YqtWrWJSqZQNHDiQ1dfXc3mVlpYykUjE5s+fz3uPzMxMBoAtXLiQu0Z6e3uzhISEzt5dp2fNeVErMTGRubm5sfv375vMj9qY7Vh7L+9o1zGH68TW1dWxV155hQUGBjJXV1c2ePBgtnfvXt42c+bMYQBYSUkJL/zOnTts9uzZzNfXl0mlUhYTE8O7MScdLzY2lgEw+dIyVmfLli1jERERzNPTk4nFYiaXy1lqaiq7fPmyHfaka3jzzTfZ0KFDWbdu3ZhIJGIBAQEsOTmZnTlzhredtl71FRcXsxdeeIF5eXkxd3d3Fh8fz3744YfOKn6XlpCQwDw8PNiDBw+MxlMbs59evXqZPAfq1kdhYSGLj49n7u7uzMvLi73wwgsGnSHGGAPAYmNjDcIPHz7MYmJimFQqZb6+vmz27NlGH1JPLLNUZyUlJWavbXPmzOHlp19nV65cYRMnTmTBwcFMIpEwqVTKIiMj2caNG+mfDm1kqc6qq6tZcnIyCw0NZW5ubszV1ZX17duXrVixwqBzpK1f/XpkjLE9e/awwYMHM1dXVxYYGMheeeUVVldX10l7+fiw9rx448YNJhQK2ezZs83mR23Mdqy9l2fMsa5jgkdvRAghhBBCCCGEODyHmhNLCCGEEEIIIYSYQ51YQgghhBBCCCFOgzqxhBBCCCGEEEKcBnViCSGEEEIIIYQ4DerEEkIIIYQQQghxGtSJJYQQQgghhBDiNKgTSwghhBBCCCHEaVAnlhBCCCGEEEKI06BOLCGEEEIIIYQQp0GdWEIIIYQQQgghToM6sYQQQgghhBBCnMb/B7EbQCs1W83LAAAAAElFTkSuQmCC\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def gen_data(x0, dx, count, noise_factor, accel=0.):\n", " zs = []\n", " for i in range(count):\n", " zs.append(x0 + dx*i + randn()*noise_factor)\n", " dx += accel\n", " return zs\n", " \n", "predictions = []\n", "zs = gen_data(x0=10., dx=0., count=20, noise_factor=0, accel=2.)\n", "data = g_h_filter(data=zs, x0=10., dx=0., g=0.2, h=0.02)\n", "plt.xlim([0, 20])\n", "plot_g_h_results(measurements=zs, filtered_data=data)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Each prediction lags behind the signal. If you think about what is happening this makes sense. Our model assumes that velocity is constant. The g-h filter computes the first derivative of $x$ (we use $\\dot{x}$ to denote the derivative) but not the second derivative $\\ddot{x}$. So we are assuming that $\\ddot{x}=0$. At each prediction step we predict the new value of x as $x + \\dot{x}*t$. But because of the acceleration the prediction must necessarily fall behind the actual value. We then try to compute a new value for $\\dot{x}$, but because of the $h$ factor we only partially adjust $\\dot{x}$ to the new velocity. On the next iteration we will again fall short.\n", "\n", "Note that there is no adjustment to $g$ or $h$ that we can make to correct this problem. This is called the *lag error* or *systemic error* of the system. It is a fundamental property of g-h filters. Perhaps your mind is already suggesting solutions or workarounds to this problem. As you might expect, a lot of research has been devoted to this problem, and we will be presenting various solutions to this problem in this book.\n", "> The 'take home' point is that the filter is only as good as the mathematical model used to express the system. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Exercise: Varying $g$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now let's look at the effect of varying $g$. Before you perform this exercise, recall that $g$ is the scale factor for choosing between the measurement and prediction. What do you think the effect of a large value of $g$ will be? A small value?\n", "\n", "Now, let the `noise_factor=50` and `dx=5`. Plot the results of $g = 0.1\\mbox{, } 0.4,\\mbox{ and } 0.8$." ] }, { "cell_type": "code", "execution_count": 32, "metadata": { "scrolled": false }, "outputs": [], "source": [ "# your code here" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Solution and Discussion" ] }, { "cell_type": "code", "execution_count": 33, "metadata": { "scrolled": false }, "outputs": [ { "data": { "image/png": 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vuuWaTCY0Go3NNoPB0KpyG3qtdcs997XWjWF95da+VpVKdd7ltpf3pqnXqtPp0Ov19faPbOy9aU65Op2u3m2NlVt7bFPl1qe5Mazv+Lp1OldTr7Wmpgaj0VjvipX2iGF9MWpuue3lcyhthG257eW9kTbCtlxpI+r/HBpNRn7NNq82PMx7mCWG8cHxbMncwv7C/cR4xTSrXGkjLpw2or7nayvnnQzMnz+fF198kYULF/LII4/Uu09xcTETJkwgOzubTZs22WS/Dbnjjjv48ccf+fPPP5k0aVKT+zs7O9t8kFQqleXLUDerrntMfV8WALVabdlW35vW3HLPrVPdcutr7DQaDSaTqd5ynZycWlVu3X8bKrf2tSYmJqLT6axeS33l1m6v70tcX7m12uN7U7dODcWw7j51NfbenFtubWw1Gg3x8fFoNBoMBkO9z9lYuXVfa0P1bW0Mm3qt52oqhi4uLhgMhlbHsL761jbuf/75pyW2LSm3vXwO22sbUSs1NZXBgwdb/t/UeyNtBJb9Gyq39q5AY+VKG3F+bURte1u7vaXfm/P9HCbmJ5JXlYeb2o2hAUMtMYwLMl/53l+wn7v872pWue21jaj7t6xLly7N+i5LG9F4G1Hf87UVlek8lsObP38+8+bNY968eTz//PP17lNcXMwVV1xBeno6v/76q9UfkKZ89dVX/O1vfyMhIYGrrrrKapvRaLTc+qnl7e0tI9rt6NwTVmE/ElvlSGyVI7FVjsRWOY6K7Ys7X2Rlykqu630dC0cutDxeoavg0i8vxYSJTTdvItij6Z4P7ZV8bu3Pkee3LU5DFixYwLx585g7d26TiUBaWhobN25sUSIA8Pnnn6PRaBrseiSU5eHhgV6vd2iW2llJbJUjsVWOxFY5ElvlOCK2eqOejcc3AnB1z6uttnlqPInyj+Jo8VGSCpIY3318m9XL3uRz27m06F1ctGgRzz33HBMnTuSaa65h586dVtuHDx+OVqvlqquu4q+//uKNN95Ar9db7RccHGwZcPTaa69x8OBBxo8fT3h4uGUA8YYNG5g3b55MXeUg5w6YEfYjsVWOxFY5ElvlSGyV44jY7srdRVFVEQFuAVzS9RKb7XFBceZkIL9jJwPyue1cWpQMrF27FoCEhAQSEhJstptMJk6dOsXu3bsBmDNnjs0+d999N8uWLQPMI7HXrFnDTz/9RHFxMe7u7gwaNIgVK1Zw2223tfS1CCGEEEI4TO3aAlf2uBJnte0pVlxwHN8d/a7TLD4mOocWJQNbtmxpcp/IyMh6R+zXZ/LkyUyePLklVRBCCCGEaHeq9FX8esI8i9DVva6ud5/aQcQHCg+gN+rrTRiEaGsy6lYIIYQQopW2ZW2jQldBV8+uxAfXP6i2l18vvDReaPVaUktS27iGQtRPUlJh48SJE5aBQY5aAKOzktgqR2KrHImtciS2ymnr2P6c/jMAk3pOQq2q/1qrWqVmYNBAduXuIjE/kX4B/erdr72Tz23nIncGhI3i4mKKioosq+wJ+5HYKkdiqxyJrXIktsppy9iW1ZSxLWsbYDuL0Llquwp15HED8rntXCQZEEIIIYRohV9P/EqNsYbevr3p69+30X1ruxDtL9jfFlUToknSTUjYiI6OxmQy1bsioGgdia1yJLbKkdgqR2KrnLaMbd0uQk09X2xwLABppWmcrjmNj4uP4vWzN/ncdi6SDAgbrq6ujq5CpyWxVY7EVjkSW+VIbJXTVrEt0BawM9e8nlJTXYQAAtwCCPcKJ6s8i+T8ZC4Lu0zpKtqdfG47F+kmJIQQQghxnjZkbMBoMhIbFEuET0SzjokLPjNuoKDjjhsQnYfcGRBCCCFEq2RmZvLxxx+TlJSEWq1m+PDh3HPPPQQGBjq6aoqrXWhsUs9JzT4mLjiOdenrOvQgYtF5SDIgbJw+fdrSF9DHp+P1ZWzPJLbKkdgqR2KrnI4eW5PJxPz583nxxRcxGAyWx7/99lvmzp3LW2+9xcyZMx1St7aIbVZZFon5iahQMTFyYrOPq51RaH/B/g7Z976jf26FNUkGhI309HR0Oh0ajYb4+PoXThHnR2KrHImtciS2yunosX3ppZeYP39+vduqqqq4//778fDw4Pbbb2/jmrVNbBMyEgC4OPRigj2Cm31cdEA0LmoXSqpLyCzLpLtPx5qrv6N/boU1GTMghBBCdECbN29m6tSphISEEBgYyMiRI1m2bBk1NTVt8vwFBQW88MILAKhUKv71r3+RkpJCYmIi06dPt+z3+OOPo9Pp2qROba22i9DVvZoeOFyXxklDdGA0AIn5iXavlxAtIXcGhI2QkBAMBgNOTk6OrkqnI7FVjsRWORJb5ZxPbE0mE7Nnz+add96xenz79u1s376dJUuW8PPPPxMQEGDv6lpZvny5JfGYNWsWr7zyimXbRx99RF5eHj/99BO5ubmsW7eOKVOmKFqfcyn9uT1afJSjxUdxVjszvvv4Fh8fFxRHUn4SSflJTO49WYEaKkfahM5FkgFhIzQ01NFV6LQktsqR2CpHYquc84nta6+9ZpUI+Pn54enpSXZ2NgB//PEHt956Kxs2bFC0L/rBgwctv5/bDUilUnH77bfz008/WfZt62RA6c9t7doCo8JG4evq2+Lj44PjWX5oeYdcfEzahM5FugkJIYQQHURVVRWvvvqq5f9vv/02eXl5ZGZmsnnzZrp06QLAL7/8wq5duxSti4uLi+X34uJim+1FRUX17tsZmEyms12EmrG2QH1qFx9LKUqhSl9lt7oJ0VKSDAghHCYlJYU33niDBQsWsGzZMkpLSx1dJSHatQ0bNlBYWAjAbbfdxqxZs9BoNKhUKsaOHcu///1vy77Lly9XtC6jR4+2/P7aa6+h1+st/y8vL2fx4sX17tsZJBUkkV2ejbuzO2MixtS/U2kW5Oxr8Keb3kSgWyB6k55DRYfa9gUIUYd0ExJCtLmTJ09y3333WboQ1HrkkUf45z//yfPPP49aLdcqhDhXbVcggPHjbfupX3HFFZbfc3NzFa3L9ddfT7du3cjJyWHz5s0MGTKEu+++m6qqKj788EPS09MBGDZsGMOGDVO0Lm2ttovQuO7jcHd2t91BXw0fXA4VeQ2WofLqQtzgq9ictZWk/CQGdxmsVHWFaJQkA8LGgQMHLFOGDRw40NHV6VQktlBYWMjo0aM5evSozbaKigpeeOEFTp06xXvvvdeiciW2ypHYKqelsfXz87P8vn+/bV/zpKSzi1j5+ra8H3tLuLi48Omnn3LNNddQU1PDkdNHeKfkHXRFOjIzMi31/eijjxStR0OU+tzqjXoS0s1TijbYRcjJBXzDoKIAMNazgxp8wogLjrckAx2JtAmdi1x6Ezb0er3lR9iXxBYWLFhgSQRCQkJ45ZVXWLVqFQ888IDlbsD777/P77//3qJyJbbKkdgqp6WxvfLKK3F1dQVg6dKlVuMC8vLyeOaZZyz/b4sBu1dccQUbf9lI/L3x9JrbC4/eHvgO88VnqA+XX34527dvJzY2VvF61Eepz+3uk7sprCrEz9WPS7tdWv9OKhWMm0v9iQDmx8fNJS7YPEd/UkHHSgakTehc5M6AsOHq6oparUaj0Ti6Kp3OhR5brVbLsmXLAHBzc2Pnzp1ERkYC5hOXmJgYZs+eDcB7773HyJEjm132hR5bJUlsldPS2AYGBnLPPffw/vvvo9VqufTSSxkzZgz+/v6sX7+eyspKAPr06cM111yjZNUBKNQW8mX1lxhGGVCjxsfkw2nVaS755yWsu3kdzmrHnWYo9bmt7SI0occENOpGyu49HroNhtxEMNVJClRO0DUOeo9noL4StUrNyYqT5FXm0cWji13rqhRpEzoXlclkMjm6Ei1hNBopKyuzeszb21v6FwvRASQmJjJo0CAAbrnlFlauXGm1vaqqioCAALRaLVFRUfV2JRLiQldRUcHEiRMbvHsWEhLCpk2bGDBggKL12JGzg6d/f5oCbQGuTq78a9i/uLrn1Vz9/dUUVxfzwmUvcEOfGxStQ1urMdQwduVYynRlfHLVJwwNHdr4AYfXwVd/s338ju8gyjy+48Y1N3K0+ChvjH2D8T1avl6B6BwceX4rZ9BCiDZjNJ69OlbfVIPOzs6Whq/uvkKIszw9Pdm4cSMvv/wyPXr0sDzu5eXFQw89xJ9//qloIqAz6nhjzxs8sPEBCrQFRPlFseKaFdzS7xa8XLy4N/ZeAJYkLqHG0DarIbeV37J/o0xXRohHCBeFXNT0AUcSznlAZb5b0PvsSX9cUBwAiQWyErFwDEkGhBBtJioqCnd388wbq1evJj8/32r7ypUrqaioACA+Pr7N6ydER+Hm5sYTTzxBWloaGRkZHD16lPz8fN59913Cw8MVe96ssizuSbiHj5I/woSJm/vezJfXfEkf/z6WfW7tdytdPLqQW5HLN0e+UawujrAuzby2wMTIiahVTZxC7f8W9n56zoMmGP24eUzBGfFnxg3sz+94i4+JzkGSASFEm/H29mbatGkAlJWVMWrUKJYvX87u3bt54YUXmDlzpmXf+++/31HVFKLDUKvV9OjRg6ioKNzc3BR9roSMBG5eezNJ+Ul4u3izaMwinrv0OZupNd2c3Xgw/kEAPkj6gEpdpaL1aisVugq2Zm0F4OpeTSw0VpgKa+eYfx/1GHQddHZbjvUdgNgg8wDrA4UH0BtlQK5oezJmQNjIycnBYDDg5OREt27dHF2dTkViC1lZWQwbNoyTJ082uM8NN9zAd999h6rO1bOmSGyVI7FVTkeIbaWukld3v8p3R78DYFDwIF4Z/QrdvBqur86oY8qqKWSWZTLnojncF3tfW1XXwt6xXZu6lqd/f5pIn0jWXL+m4fZJVwUfTYCTSdD9Mrh7LWT8BqsegrJccHaH2XvMU48CRpOREStGUK4r55vJ3xAdEN3quiqtI3xuOxoZMyDalfz8fE6dOmXThUO0nsQWwsPD2bZtm2UgcV0qlYr77ruPFStWtCgRAImtkiS2ymnvsU0pSuG2n27ju6PfoULFzNiZfDLxk0YTAQCNWsPDgx4G4OPkjymtbvvVxe0d23Xp5i5CV/e8uvH2aeOz5kTAPQBu+hCcnKH35fB/h6D7paDXwq8vWHZXq9TEBMUAdJj1Btr751a0jCQDQog216dPH/bu3cvmzZt57LHHeOCBB3jxxRdJS0tj6dKllnnUhRCOYTKZWHF4BdN+mkZ6aTrB7sEsvXIpj170aLOnC50UOYkovyjKasr49MC5fec7lqKqInbk7ABgUs9JDe94cA388YH59xvet1z9B8zjBK5aaP496SvI3mPZVNtVqKMkA6JzkXUGhI2oqChMJlOLr8yKpklsz1KpVIwdO5axY8fapTyJrXIktsppj7EtrS7lue3PsSlzEwCjw0ezYMQCAtwCWlSOk9qJ2YNnM2fzHJYfWs60/tMIcg9Sosr1smdsN2ZsxGAyMCBwAJG+kfXvVJwBqx8x/37Zo9D3Stt9woZA3G3mZCDhaZiRACqVZRBxR1l8rD1+bsX5kzsDwoanpydeXl54eno6uiqdjsRWORJb5UhsldPeYrvn1B5uWnMTmzI3oVFreGLYE7w97u0WJwK1Lo+4nNigWLR6LR/t/8jOtW2cPWNbt4tQvfQ18O0MqC6F8GEw/rmGCxv/nHncQOZOOLgKgNhg852B9NJ0TtecbnV9ldbePreidVqUDGzatIkZM2YQHR2Np6cnYWFhTJkyhT179tjsu3fvXq644gq8vLzw8/PjxhtvJC0trd5yFy9eTHR0NK6urvTs2ZP58+ej0+nO7xUJIYQQokUMRgNL9i1hxvoZnKo8RQ+fHiy/ejl3DLijVVd/VSoVswebVxVfmbKS3PJce1W5zeSW57I3by8qVFwVeVX9O/0639ztx80Xpn4MTo2szOsbBiPOzDS08TnQVRHgFkCEdwQAyfnJdn4FQjSuRcnAkiVLyMjIYM6cOaxbt44333yTvLw8hg8fzqZNmyz7HT58mLFjx1JTU8PXX3/Nxx9/zJEjRxg1apTNYJOFCxcyZ84cbrzxRtavX8/DDz/MSy+9xKxZs+zzCoUQ7drbf73N6K9Gk1KU4uiqCHFBOllxkns33MupFsXcAAAgAElEQVS7ie9iNBm5rvd1rLx2JQMC7bNw2fCuw7k49GJ0Rh3vJb1nlzLbUkKGeeGwISFDCPUMtd0h5WfY8bb59ynvgl/3pgsd8Sh4d4OSE7BrCXB23IAsPibaWoumFs3Ly6NLly5Wj5WXlxMVFUVMTAy//PILALfccgubN28mNTUVHx8fAI4fP06fPn34xz/+wSuvvAJAYWEh4eHh3HXXXbz//vuWMl966SXmzp1LcnKyzSqKMrWo8iorKy19AT08PBxdnU5FYmttW9Y2Zv1qTvyv630dC0cuPO+yJLbKkdgqx9Gx3XRiE8/97zlKq0vxcPbg2Uuf5dpe19r9efbl7ePOn+/ESeXED1N+oKdvT7s/x7nsFdub197M4aLDPDv8WW7pd4v1xtIseG8kaIvhkodg0svNLzjxK/jhAXDxhkf38kXmRl7+42VGhY3i3SvePe/6tgVHf247ow4ztei5iQCYlz8fMGAAmZmZAOj1en788UduuukmSyIA0KNHDy6//HJ++OEHy2MJCQlUVVUxffp0qzKnT5+OyWRi1apVLXoxwj6OHj3KoUOHOHr0qKOr0ulIbM8q0Bbw7PZnLf/feHxjqxYnktgqR2KrHEfFttpQzUu7XmLO5jmUVpcyIHAA30z+RpFEAGBQl0GMDR+LwWTg3X1tc6Jrj9imlaZxuOgwzipnruxxzoBggw6+vdecCHQdBBPmt6zw2Fug22CoKYPNC60GEbf3JaCkTehcWj2bUGlpKXv37mXcuHEApKamotVqiYuLs9k3Li6OjRs3UlVVhZubG8nJ5n5xsbGxVvt17dqVoKAgy/amHDhwgB49elglH9XV1Rw+fBgAf39/une3vm139OhRKivNJx7x8fFW2woKCsjOzgage/fu+Pv7W7YZDAZLvby9venVq5fVsenp6Zw+bR78M3DgQJydz4a4pKSE48ePA9CtWzeCg4Otjk1KMjcA7u7u9O3b12pbZmYmRUVFAPTr189qpcny8nJSU1MBc8LWtWtXq2MPHjyITqdDo9HY3GnJzc0lLy8PgN69e+Pl5WXZZjKZSEw0364MCAggIiLC6tgjR46g1WpRqVQ273d+fj45OTmAORH08/OzbNPr9Rw4cAAAHx8feva0vkKUlpZmyY5jYmJwcnKybCsuLubEiRMAhIWFERRkPTNFbX09PDzo06eP1bYTJ05QXFwMYBmjUuv06dOkp6cDEBISQmio9a3gAwcOoNfrcXV1JTraekGYnJwcS/e3qKgoqwFVlZWVlsYyMDCQc6WkpFBVVYWTkxMxMTFW2/Ly8sjNNfevjYyMxNfX17KtpqaGQ4cOAeDr60tkZKTVsampqZSXlwPm71fdKwuFhYVkZWUB5jn/69bLaDSyf/9+wJzo9+7d26rcjIwMSkvN84X3798fFxcXy7bS0lIyMjIA83f43IsHycnJGAwG3Nzc6Nu3L89uf5aiqiL6+PehoqqCHG0OH/32EfcOv9fqSlNFRQXHjh0DIDg42GaBm8OHD1NdXV3vOKOTJ09y6tQpAHr27CltBOfXRtTG1mg0Wm2rqqoiJcXcvUvaiPNrI2pP+nQ6HVlZWYSHh1sdq0QbkVaaxpyNc8ioyADgrgF38feL/o7mTD93pdqIe/rcw5asLSRkJHBj2I1cGnWp1bF124h+/fpZbcvKyqKwsBAwT03ckjZCr9eTmJiIs7MzAwcOtNrWVBuxbMcyAAYHDMbPzc/q2KLvHycgcycGZ0+cbv4EnM9+XgoKCth35Dinq42EhoZalWswGMw9J1zV9I+dTVjODNj7Gf2GTMdF7UJpdSkbdm8g1DW0w7QRDZ1HSBtxVlNtRGFhoc3fobbS6mRg1qxZVFRU8MwzzwBYvqwBAbYzDwQEBGAymSguLqZr164UFhbi6upa72j0gIAAS1lN0ev1Nlm0yWSy/AHT622X99br9Q0OUjYajQ3+8QOaXe65dapbrsFgqLdck8mERmM78MhgMLSq3IZea91ya19rYGAgBoMBo9FoeQ/qK7f2tdY3uKy+cmu1x/embp0aiqFer6/3dl1j78255dbGtrZhqn1v6nvOxsqt+1pb+p43N4b1HV+3TudqKoY1NTUYjUacnJz48vCX/J79O65Orrw66lV+2P8Dn6V/xrbCbcwwzWhRubWvVaVSERQUZNXoN/e9aS+fw/baRtSqe0JT+zyNlSttBJb9GyrX19e30XbWnm2EyWRi1bFV/PuPf6PVa/F28ua+sPu4Z8g9VvVWqo3o7dObS3wvYVfpLj5K+cgmGajbRrTktTb03tS2t0VFRZbvTkvKNRqNbC/eDsCooFHWBx77hYADnwCQEfd/9A6wTvpzSrQ89ONJdEaAvPrCgUYNn0yNJmzA9XBwFZqNz9E/uD+J+YmknE4h0C+w3bYRdf+WNfe7LG1E421Efc/XVlqVDDz77LN88cUXLF68mCFDhlhta2z2gbrbmrtfY5ydnW32ValUli9D3ay67jH1fVkA1Gq1ZVt9b1pzyz23TnXLra+x02g0mEymest1cnJqVbl1/22o3NrXWntlqqqqynIFs75ya19rfe9TfeXWao/vTd06NRTDuvvU1dh7c265517102g0VslBc8ut+1obqm9rY9jUaz1XUzF0cXHBYDCQo8vh9b9eB+CfQ/9JlH8UV3S7gs/TP+dw5WFyK3OJ8oxqdrkajQaj0YizszM9evRosL7SRrS+jQgJCbHa1tR7I20Elv0bKjckJKTRdtZebURZTRkLdizg54yfAYj3i+e+sPvw1/jbHKdkG3Fzt5vZXbqbXQW72Je3j0Fdzq5EXttGtLadrVXb3mq1Wqqrq1v8vTlccpi8mjxcVC5c1uWysxtO58L3DwBQ0HMK5T0m2JR7utp4JhFomM4I5XrM3YtS1kH6VuJCbycRyKjOYIxmTLttI+r+LcvNzW3Wd1naiMbbiPqer620aABxXfPnz2fevHksXLiQp59+2vJ4SkoK0dHRvPPOOzz88MNWxzz++OMsWrSIyspK3NzceOqpp3j55ZepqKiwGYASHBzMhAkT+PLLL60elwHEQnRcVfoq/vbT3zhWcozR4aN5e9zblgZ15oaZ7MzdycPxD/PQoIccXFMhOo/9+ft5fNvjZJdn46xy5pHBjzA9ZjpqlWP+bs773zy+O/odQ0OG8vFVH7fbhate3f0qnx/8nEmRk3h1zKvmB40G+GwKZPwGITFw36+gcbM5Njm7lGsX/97kc/w4eyQxYb6w8XnY/gYJIT153MO8uNnKa1fa+yWJdqzDDCCuVZsIzJs3zyoRAHN/MXd3d0ufwrr2799PVFSUpZ9a7ViBc/c9efIkBQUFNv0jhRAd2+t7XudYyTEC3QJ54bIXrE4CpkRNAWB16mqMpiYuqQkhmmQ0Gfk4+WPu+vkussuzCfMKY9mkZdwbe6/DEgGAB+MfRKPW8OepP9mRu8Nh9WiMwWhgffp6ACb1nHR2w9ZXzYmAxhNuXlZvItASBeXV5l9G/RM8g4krNPdlP1J0hCp9VavKFqK5WtwaLFiwgHnz5jF37lyef/55m+3Ozs5MnjyZ77//3irDOXHiBJs3b+bGG2+0PDZx4kTc3NxYtmyZVRnLli1DpVJx/fXXt7R6Qoh2alvWNlYcXgHAiyNfJNDdekD1+O7j8dR4kl2ezd5Tex1RRSE6jQJtAQ9ufJD/7vkvepOeqyKv4uvJX1tmrHGkUM9Qbu13KwBv7X2rXc6cs+fUHvK0eXi7eDMibIT5wbStsNU8NTrX/heC+tR7bGZRJUu2HGvW89zzyW4ueekXZn59hM3d7qer3kCQwYjepOdQ0SF7vBQhmuQ0b968ec3dedGiRTz11FNMnDiRmTNnkpWVZfVT24csNjaWd999l82bNxMaGkpycjIzZ85EpVLx2WefWQYMu7u7o1KpeO2116ipqcHZ2Zlvv/2W5557junTpzNjxgybOphMJmpqaqwec3V1bbe3GTuilJQUTp48SXFxsc0oe9E6F2psC7QFPPjLg2j1Wu7ofwfT+k+z2Uej1pBZlsmhokOoVCrGdR/Xoue4UGPbFiS2ylEittuzt/PAxgc4WnIUNyc3nr30WR4d/Chuzq27im1P/QP6szJlJTkVOfQL6Ecv315NH9RCrYnt0v1LOVR0iMm9JjO+x3goz4fPr4eachh8B4z5l80xydmlLPjpEE//sJ8jp8qb9TwqoLzaQFp+BWvzgrhKvZsTblVkuGhIznBDWxaOEfD3cMHZqf10h5Y2wf4ceX7botEKa9euBczrAyQkJNhsr83uo6Oj2bJlC0888QRTp07F2dmZcePG8Z///MdmGqxnnnkGb29v3nnnHf7zn/8QGhrKk08+aZmdSLS9qqqqBmevEK1zIcbWZDJZphHt69+Xvw/5e4P7Tuk9he+Pfs+GjA08dfFTeGiav5jNhRjbtiKxVY49Y6sz6Hjrr7dYdmAZAH39+/La6Nfo5Wf/E+3WCnQP5M4Bd/JB0ge8/dfbjA0fi5PadtBla5xvbHUGHRuPbwTOdBEyGuGH+6H8FARHw6RXLfuaTCa2Hyvk/W2p/Ha0wPL44O5+/HWipMnn+ubBSzEBiZkl7Mss4YPj9xFXvYjNnh6cKNrNvP3mOznOahX9u/oQF+5LfIQfgyL86B3shZO66RPF7BItxRU1DW7393QhzM+9yXLqkjahc2lRMrBly5Zm7ztkyBDLisRNefTRR3n00UdbUhWhoNqpwuobDS9a50KMbd1pRF8Z9QquTq4N7ju4y2AivCPILMvk1xO/Mrn35GY/z4UY27YisVWOvWKbeTqTf237F8mF5jUubut3G48Ne6zR75uj3T3wblYcXsGxkmOsS1/Xou97c5xvbLfnbOd0zWmC3YMZGjIUtv8XUjeBs7t5nICLJ3qDkXXJJ3l/ayoHcs7MBqVWcW1cVx4Y3RujydSsAcRuGidiwnwZFlk7HftF/O+zDWDKxNsrnbjoLiRmllBYUcP+7FL2Z5fyxS7zuAJPF/OxgyL8iAv3Iz7ClzA/d6srydklWsb9ZwvV+obHYbk6q9n02NgWJQTSJnQujpvHSLRbMnBbORdabI8UH+H1P62nEW2MSqViSu8pvL3vbVYfW92ik4MLLbZtSWKrHHvEdvOJzTz1+1NU6CrwcfHhhREvML77eDvUTlk+Lj7MiJnBm3vf5N197zIxcqJl4TN7ON/YrktfB8BVkVfhlPkHbFpo3nD1a2j9+vLNjgyW/pZGZpEWAHeNE7cOi+DekT2JCDDfzcwu0eLqrG7yJNzf08Xm8UFXvow6YRoFagMrh2UTfPcUsku0JGaWkphVQmJmCfuzS6moMbArvYhd6UWWY4O8XMyJwZnkwMWp8ToAVOuNFFfUtCgZkDahcznvqUUdRaYWFaJjqDuN6JjwMSwet7hZfR9zynO46rurAFh/03q6eXVr4gghLlw6g44xX4+hrKaMi7pcxCujXyHUM7TpA9uJSl0lV39/NYVVhTw7/Flu6XeLw+sz9uuxaPVaVox7j5iv74OyHKr7T2VJwL/4dMdxiivNC0sFeLpwz2WR3Dm8R70n9a3pnnPTF5dxRF/GG1VujJ+5E87pQmUwmjiWV05iZok5Qcgq4XBuGXrj+Z3SWaY4FQ7jyPNbuTMghFBE3WlE5182v9mDoLp5deOS0EvYdXIXa1LX8GD8gwrXVIiO689Tf1JWU0aAWwAfXfURzuqO9WfdQ+PB/XH38+8//s37ie9zXe/rHDrQeUvmFrR6LRHeEQzc+gaU5VDgGsFVyddQqDPPEBQR4M79o3oxdUgE7i4Nd5MJ83NvcV/8WnHdx3IkbS2JVXmM3/sZDJ1utd1JraJfqDf9Qr25ZVgEAFU6AwdzT5sThMwSErNKSS+oaNbzbThwktNVOiL8Pejq66bYYGUlxi+I1utYrYYQokOoO43owpELbaYRbcqUqCmWZOCBuAdktjAhGrA1aysAYyPGdrhEoNbUvlP59MCn5FTksDJlJXcPvNthdantIjTK4Ifq2E9UmzTcefphCk2uxIT58OCY3kwcGKr4zD5xocP4Nm0tSa4usHkhxNwEbj6NHuOmceKi7v5c1P3sqtI7Uwu5benOJp/vrU3HeGuTOdlxVqvo6udGhL+H+SfAnYgAD8LP/B7sdX4z3Cg1fqEzyC7RUlpRQ5iXY56/Y7YcQlF5eXmWgUFdunRxdHU6lQshtgXaAp7d/iwAd/S/4+wc3S0wvvt4PJw9yCzL5K+8v7go5KImj7kQYusoElvltCa2JpOJLZlbABgbPtb+lWsjLk4uPBj/IM/97zk+3P8hN/W5CS+X1p8VtTS2JVUl/J69HYAbU8wToLygv5OgqCF8MaY3l/UObLMLE3HBcQAcdHNDf/IEzr8tggnzW1yOl1vzTvMGR/hRXFlDdokWncFEZpH2zJiIQpt93TRqunq70NXHhW6+bvQNCziTNJiTB1+P+sd9FFfUKDJ+oaOrTZI8NGq2/H24Q+ogyYCwkZubi06nQ6PRyB9+O+vssTWajMzdPrdZ04g2xkPjwZWRV7Lq2CpWp65uVjLQ2WPrSBJb5bQmtkdLjpJdno2rkyvDuznmJAKA0iyoKGh4u2cw+IY1WsTk3pP5OPljMk5n8PnBz3lo0EOtrlZzY6s3GPk5+ST/2fEpBnc9vaqN9NNX85f3WKbd9jwDw/xaXZeW6unbEy+NF+W6co65aIje+a65q5B/pCLPt+D6GGLCfDEaTZwqqzqTDFSSWVxp/r24kqyiSnJPV1GlM5JeVEV6URVwGhLzrMrydnM+e0ehNkkIcKeqRqYhrU9tkuShcdzYV0kGhBB28+WhL9mevR1XJ1deHf1qq6Y1nNJ7CquOrWJ9xnqevPhJ3J0vnCtFQjTH1kxzF6HhXYc77vuhr4YPLoeKvIb38eoCf08G54bbA2e1M48MfoTHtj7Gpwc/5bbo2/B3829wf3vQ1hj4dk8mS39L50RRJe7dd+IMTKkoRe/Tg8EPfwZujhlUq1apiQmKYWfuTpLCYohO/ws2Pg+3fKrs86pVdPV1p6uvOxf3DLDZXqM3klOiZeueZHJKqymsgmqNN5lFlWQVV1JQXkNZlZ6Duac5mHv6vOpQXq3HZDIpfhdGxi+cJclAKxQUFLB69WpOnTpFYGAg1113HV27dnV0tVotMjKyTb6IF6LOHNuUohRe32OeRvSxoY/R2693q8q7KOQiwr3CySrP4tcTv3Jtr2sb3b8zx9bRJLbKaU1sLV2EIsbat1It4eRivupfUQDU1wVEDT5h5v2aMKHHBPoH9OdQ0SE+Tv6Yfw79Z4urU/cET+sWhMnVhF6lIjm7FDCf4HlonPhsx3E+3ZFB0Zl9/X0qMXimYQImVdbgfM8yhyUCteKC48zJQLcYbslIhIOr4PgO6HFps8vw93Q57ylO6+PirCYyyBP/4dGWz62v79k4VdboySo+c1ehqJLMYi1ZZ+4uZBRWUNmMuwO3fbATFyc1wd6uBHm7EuzlSrD3mR8vlzq/uxHs7droIO6GtNX4BZPJhFZnoKiihpJKHUUVNRRX1lBcUUNxpY7iyppmD/JWkiQD56G6uprHHnuMpUuXUl1dbXn8kUce4c4772Tx4sV4eno6sIatU/eLLeyrs8a2Sl/FE9ueQGfUMSZ8DLf2u7XVZapVaq6Luo53973L6mOrm0wGOmts2wOJrXLON7YF2gKSCpIAGBM+xp5VahmVCsbNheU3NbCD0by9GcmOWqVm9uDZPPzrw6w4vII7B9xJF4/md51qzgmekwqc68y9HxHgzsxRvdAZvuSNVLioqoqu4+dDWNNdE5UWH2xefTip4gQMvhP2fgrrn4L7NkEzp5sM83Nn02Nj7X4FvKHPrYeLM31DvOkb4m2zLTm7tFkLsQHUGIxkl2jJLtE2ua+XqzNBVknC2eQhqM7vgZ6uuDib43Y+4xdMJhMVNYYzJ/I1Vif4JZU1FFXWUFyhs95WWUNNE8/THnSKZECv1+Pi0rystrUMBgNTp07lxx9/rLcen3zyCampqWzYsAFX1/a78qMQ9vT6ntdJLU1t8TSiTbmutzkZ2JW7i9zyXLp6dfw7b0LYw7asbQDEBMYQ7BHs0LpkB16Gf1Ac7gX7UXF2nnsTKqoCB1AUeBmNjxg4a2TYSC7qchF78/byQdIHzB0+t9n1aM4JnsEEBr2Rgd3MMwNNignFWVfObV+sAGeY5NkLLmkf0xnHBJkX9kovTad08n/xTf4ecv6C/V9D/G3NLqc1U5w6wncPXUqIjxv5ZdXmn/JqCspqyC+vsnosv6yaKp2R8mo95dV6Mgormyzb30NDsLcrbprm3U146vskavQm89X8yhp0hvNbx8HFSY2/pwZ/Dxf8PVwI8HTBz0NDgKcLWp2BD39LP69y7aVTJAMXX3wx77//Ppdcconiz/XVV19ZEgFXV1cefvhhRo4cye7du1m8eDEVFRVs27aNDz74gNmzZyteHyEcrbXTiDYmzCuMYaHD2H1yN2vT1nJ/3P12K1uIjmxz5mbAwV2EMF+Nv2LRZt5XGRntZH2ipMKEuiCFrf+9i3HT5xPac2CT5alUKmYPns309dP57sh33D3wbiK8I+xa5wVTYrhjeHfzRQuTieOrH+CAMziZTFx5zZJm3cVoCwFuAUR4R5BZlkmy9iQjRv0f/DoffpkH/SeDS8ftgdAYV2cnwv3NU5k2pvZKvSVBKKsmv6yqTvJw9vGC8mr0RtOZrjm6Ztdlf7btuAdXZzUBnuaT+toTfPPJvQsBHhr8a7fV2e7h4tTgRbLk7FJJBuwhKyuLK664gh07dii+RPaSJUssv3/zzTdMnjwZgBtvvJFrr72WkSNHWvbrqMlATc3Z24ltdcflQtHZYmuPaUSbMqX3FHaf3M2a1DXMjJ3ZYIPa2WLbnkhslXM+sa3SV7Ezxzx3vKOTgZLT5bymepPRTsmYTOa7AWqVCYNJRTUaPFQ1TFNtxPTpLxB9DVz6CHQf3ugJ99DQoYzoNoLtOdt548+3eWjgXIoq6vS3PtPnuqhOl4ziyhryy6obLLOuwd39zrYje5axLvd38PdjeGAsAf697BEWu4kLjiOzLJOkgiRGDH8Y9nwCJSdg+1tw+VMOq9f5fG7tPX5BpVLh5eqMl6szPYMaT4yMRhMlWp0lMdh7vJhFG480+RyPX9WP+HA/y1V8fw+X8xqj0N51imQAoLy8nKeeeoq1a9cq9hwmk4ldu3YB0KtXL6691roP84gRIxgyZAh79uzh0KFDlJaWdsi+tocOHbJMxxYfH+/o6nQqnSm29ppGtCkTekxg4a6FHD99nMT8RAZ1GVTvfp0ptu2NxFY55xPbXbm7qDJU0dWzK339+ypcw0botHTfeD8DnXZRY3Jiif465mh+AMBJZeLBmn+gw5n7nNYx3ukvOPwjHP6RiqB4jvWZwRG/MRRWGc+c2Fv3wy7UD4Ou21l//Gd+2NwPY02I/et/MhlTwpOsCzHPWnT1gL/Z/zlaKTYolp/SfiIpPwk0bnDFfPh2Omx/Ey66q8kpW5VyPp9bpcYvNIdarSLA03wFvx/e+LprmpUMjOkbTEyYsudxtUmSI3WKZKBr164UFhby008/kZ2dTViYMl8Ok8mE0WjOaN3c3Oq9QunufvZDbDDInLqi87LnNKKN8dB4MKHHBNakrmHVsVUNJgNCXCjqdhFy2AxP1WWw4m94Z/6G1uTCA7p/sM0Yx1inROLVaSQae7HNGAeo2GEcSJQ+m3ud1nGj0+94FiQSXzCHAGMwHxsm8rVhLBWcewIYiptnDBqfZDxDfyGo8n78z1yd9TvTLcPcPeNsN4388moeWr63mfUvh2/u4bDaQIaLBlcnV8ZFjLN3lFqtdhDx/oL95tl7Bt4Au96HzJ3w6wtw4/sOrmHLdLTxC22hNkkqbSRJUlqnSAamTJlCcnIyJpOJgwcPKpYMqNVqYmNjSUxM5ODBg+zcuZPhw88u9HLo0CG2bzevXhgREYG/v7JzJCvF19fXsmqjsK/OEttWTyPawkWKro+6njWpayxrDrg5u9kc0lli2x5JbJXT0tgaTUa2ZpnXF3DYqsOVRfDFVMjeg17jxV3l/8duUzQAr+pvZZ7zZ7yqvxU4m6gcM4XxlH4m7zv9jbudf+Umw89EqPN5Xv05T7j9wIFuN5HZ507cAsItJ/elhl7c+8ttGD33s/iWIMuA2obUTh/aLOseg8Kj/BxibmdGh4+2y6rH9tbPvx8uahdKq0s5UXaCHj49YOJLsHQcJH0Fl9wPYUPavF7SJthXmJ87XX1cKSsrc8jzd4pkoKLi7Bytzs7KvqT777+fWbNmATB58mSef/55Ro0axe7du5k3bx4mk8myX0edkzsyMtLRVei0OkNs604jOjZ8bMunET2PRYqGhAwhzCuM7PJsNp3YxNW9rrY5pDPEtr2S2CqnpbE9WHiQAm0BnhpPhoYOVaZSjSnPw/jZ9ajzDlCu9uaOyifYZzrbz367MZYJNa/ZHPbZjGEM7xV0ZmrHW6GmEhJXwI53cCtKZUjmpwzJ/gJipsJlj0BILNCfa3tdy5rUNSz+azHvT7DPVXC/I99A4gqMKjXr/IOguphrel5jl7LtTeOkoX9gfxLzE0nKTzInA2FDIO42czKQ8DTMSGjzQc8dvU2w9/iFjq5TJAM//GDuo+jm5sagQcp2IZgxYwaffPIJf/75JwUFBfUOEo6OjubRRx9VtB5COMqiPxeRWppKkHsQ80ecxzSi57FIkVqlZnLvybyX+B6rU1fXmwwIcSGo7SI0otsIXJqxkJe9GI0mEg8kE772bwTXZJJn8uMO7VMcMTVvpp+AOnO8A+DiAcPuhSHT4UgC/G8xnPif+QQ36SvoNRYunc1DcQ+yLn0d/8v5H7tP7mZY6LAGn6M5J3gDnHPodmbSg7+G38upk+vx0ngxMnxks16HI8QFx5GYn4WzZI8AACAASURBVEhifiKTe5snLWH8c3Bwtbm70MFVMPAGx1ayg3Hk+IX2qFMkA+Xl5QDcfvvtinfNcXNzY/369dxxxx38/PPPNttHjx7NV199hY+Pj6L1EMIRtmZu5auUrwBYOGIhAW62y9U36TwXKbqu13W8l/geO3J2cLLiJKGeoS1/biE6uLZedfjIqTJW/ZXNn3v38Hr1cwSrCsgyBfEPl3lcfslQZof5MnvFX+f/BGo1RF9t/sneA/9723ySm7YF0rYQHtyfm7rHsrLoL97a+xafTfqswQsQTZ3gqfRa+q55AXWhFnqNZZ2PD5yE8d3HKzbmyR7iguMA87gBC98wGDEHtr4MG5+DvpPMA4xFs8n4hbM6RTIA5tl9XnrppTZ5roCAANatW0diYiIrV64kpzCHLr5dmDp1KhdffHGb1EGItlZ3GtE7B9zJZWGXnX9hvcdDt8GQmwSmOgPtVU7QNc68/RwRPhEMCRnCnlN7+DHtR+6Lve/8n1+IDiinPIcjxUdQq9SMChul2POcOl3Fmn05/PBXNgdzT9NHlcVyl5cIUZWQ7xLOyWtW8FVsLE5qFdklWvt1twgbAjd/AsXHYdd7sPczyD/EA0UprI4IY1/+Pn5LW8fo3g136Wn0BG/NXCg8DJ5d0E15lw0/mxfuau93GuODzIOIjxQdQavX4u585vWNeNS8KnHJCdi1BEb+w4G1FB1Zp0gGrrzySv7zn//QpUvzly23h/j4eH4z/sbapLU8efGTXNy/cyQCqamplinDevdu4cBQ0aiOGlujycjc3+dSXF1snkb0olZOI6pSwejH4atp1o+bDDDqsQb7v07pPYU9p/aw+thq7o251+oKYUeNbUcgsVVOS2Jbe1dgcJfB+Ln52bUeZVU6EpJPsnpfDttTCzgz/I14p3SWu76Ct/E0xi4DCL5zFcHeZ6f5VKS7hX8PmPhvGPME7P2U4J3v8bfSMj7x8+GtTY8x8tAm1Jc+DIGNx8sqthV7zckFKrhpKTvL0iipLiHALYCLQ9v33+5Qz1CC3IMo0BZwqPAQF4VcZN7g4gnjn4dVD8K2RTDodvN4qzYgbULn0imSgeXLl6NWt/0crR/u/5D3k8wDmlamrGRa9LQOO2i4rvLycsuXXNhXR43tl4e+ZHvO2WlEW91XuaYSdrxb/7Yt/zbfNahn/uwrI6/k33/8m4zTGSQVJFmm3YOOG9uOQGKrnJbE1tJFyE6zCOkMRrYdyeeHv7LZePCU1dX9oT38mRl5iiv/ehlVTRmEDUF9+7fgYds1ULHuFu5+5q4wlzzEjMQv+Gb/66S4OLPh0JdM/PMj8yJml82GiEvOXkCoM1OZIesIRr0edU0h7Flo3n7Jg+YuQr+ZF+yaGDkRZ3X7PhVSqVTEBcWxKXMT+wv2n00GAOJuhT/eh5y/YPNCmPxmm9RJ2oTOpX1/A9qxLw59wZt7zV86FSrSS9M5UnyEfgH9HFwzIeyr1dOInktXZb4jcPx3cHYHvfbsNldfOJUMH46Hv30F3awnBPDUeHJF9ytYm7aW1cdWWyUDQnRm5TXl7D61G2jdeAGTycTeEyWs3pfNj0m5FNW5ot8r2JMbBoUxZVAY3Ut2woqHzN/PHiNh2lfg6t3al3F+nF3wGzKdu5yqeDfxXd7p0o0r0o/hfGYRM8KGmpOCPldazVRW73Jsyd+hvfwpNp3YBMCknpPa7nW0QlywORlIzE+03qBWw1UvwSeTzHc+Lr4fQgY6ppKiw5Jk4Dz8cPQHXv7jZQAejH+QI0VH2JS5ifUZ6ztFMhAbG+voKnRaHS22rZ5G9Fz6alh5B6RtBo0n3PEdrH/KfFWr22CYugxW3Ab5h8x/3G760Hz1r44pUVNYm7aWhPQE/jXsX5Y1BzpabDsSia1ymhvb7Tnb0Rv1RPpEEukbSXaJtkVdc9Lyy1m1L4fV+7I5XlhpeTzIy5Xr4rtx/eBuxIb5mu9uH/rRvMqtoQaiJsAtn5ln/3GwuwbexYrDK/h/9s47PKqi7cP32fTee0ISAoEAAUJTsNCLFEEFe0NFASt8ltfXhmJ77agoUkRFsABKJyC9SieQAiG9kt5I393z/TFpSzaVJLuBva9rry3nnDmzs2fnzDPzPL8noTyPzVM+4q6USDj3B6SehLWPgV2XKhUyCZC1lCCBnRf7049SoizBy9qr00woVAcRn8s6V3+j7zDoNVUEXu/4Lzyyod2lRg19Qtujy0S1BmOghYTGh7Lg6AJABFHO7TeX0IRQ9iTvITQhlOdDnu/0rkK6cLm6UehsbXvNMqJ1UVbAn49BzD9iReChP8F3qPB53f6aeHb0gyd3wNrHIXYP/P4QjP8Abp5bc3Mb7D4YDysP0ovT2Ze8jwn+E4DO17adCUPbth/Nbdu6KkKp+aWM+mxfk0G76+cM42RCLn+fTSMsOb9mm6WpEeN7uzMtxItbApwwNqpTh3N/wt+zRfxO0J1wzwow1g+tdSsTK54MfpLPTn7Gd/F/M+murZiOegtOLIMTy6EgqYkSZBj1JtvjNwNiVaCz3K97O/VGISnIKMkgozgDNys3zR3GvAsXtwsVpugd0GNCu9bH0Ce0Lb/88guff/45Bw4c0Mn5Db9mC9iXvI/XD76OWlYzPXA6rwx6BUmSGO49HHMjc5KLkonMjdR1NQ3oGaWlpSxbtoxhw4bh7u5O165dmTNnDuHh4bquWqO0iYxoNapKMdMYvR2MzYXLgV+VrnfASHjuuHgGMLeDB9fCoCcAWcx0bZ0PKiVQm3MAYEPshtbXyYCBToJSreRg6kFAGAN5xRWNGgIA5Uo1d357iAWbIwlLzsdIITGihwuL7u/PyTfH8OV9/Rke6KJpCJz8Ef56WhgC/R6E6Sv1xhCo5r4e9+Fq6crl4susjV4LNm5CinheJEz6HBy6aj9QMgLPEAp9Bte0ZWdxEQKwNLGku3134CqJ0Woc/eHmOeL1zjdFn2ugU/DFF1/w2GOPkZqaqrM6GIyBZvJv+r/8377/Qykrmeg/kTdverNmRsHSxJLbvW8HYEf8Dl1W04CekZyczMCBA3n66ac5evQoGRkZxMfHs2TJEvr27cvXX3+t6ypqpU1lRFVK+GuW8O01MoX7V4uEQo1hZAyTvhC+sEhikLJmBpQVAEJVCOBo2lEyijNaXzcDBjoBZzPPUlBegL2ZfYvcWtQy9PO2450pvfj39dH8NHMIU/t7YWmqxSng8NewZR4gw+BZMHWx+B/qGebG5szuNxuApeeWUlJZ5fJkagmDn4LnT8Ltr9U/UFbBqDfZnbSHSnUl3ey7EeigNapAbwl2Ea45Wl2FQCixWTpDziU4saIDa2agtcTGxvLKK6/ouhoGY6A5nMk8wwt7XqBCXcEon1G8f+v7GCmMNPapdlXYkbADWdbmq9h5yMnJISsri5ycHF1XpVNTWVnJpEmTiIqKqvnMzc0NMzOR3EaWZV588cWaDNr6Ql0Z0R4OPa5NRlStgg1zIOJvUJjAfb9CtzHNO1aSYOizwngwsRRuQyvGQ14iXWy7MMB1AGpZzZa4LYDhum1PDG3bfjSnbatdhG7zuq1FyjdLHh7AxuduZeYt/rjYNJBUS5Zh74fwjzD+uXUeTPxUBKbqKdO6TcPHxofcslxWR63W3KgwgpGvg2cIsiS+gywpRExSwGi2xW8DYKK/fucW0EZf56q4gewGjAFzWxj1hni97yMoyW23uhj6hLbhhx9+QK0Wq3xz5szRWT3099+uJ0TmRDJ311xKlaUM8xzGp8M/xURRX0rrNq/bsDS2JK04reE/aichJSWFxMREUlJSdF2VTs1ff/3F+fNiOTcgIIBjx46xY8cOQkNDefTRR2v2e++99/TKgFwdtbpGRvR/t/+v9TKiajVseh7O/wkKY7j3Zwgc3/Jyek6CmdvA2l0EFi8fDSmnmNpNrA5sit2ELMuG67YdMbRt+9Gctt2fsh+odRHaci6tWWV7OzQR9CvLsOMN2P8/8X7UWzBmQbsHn14rJgoT5vafC8DK8JUUlBdo7lCV5VySxSBLkkVW8+yyHI5fPg50LhehaqpXhSKyI1Cqldp3CnkUXHtBWT7s/6Td6mLoE9qGgwcP1rx+4YUXdFaPFhsDRUVFvPrqq4wbNw4XFxckSWLBggX19pMkqcFHz549m7Xvxx9/3Oov1hbE5MXwzD/PcKXyCgNcB/DVyK8aHBiZG5vXyL2Fxod2YC0N6Cu//vprzesffvihJju1tbU18+bNY9CgQQCcPXuWiIgIndTxai7mXuTLU18C8MqgV1ovI6pWw5YX4exq4as7/cd6qkAtwjMEZu0Bt2AozoKfJjKutAJzI3PiCuIIz9bv+AsDBlpLfEE8CYUJGEkm/HnAkiEf7mLJ/rhrL1itgs0vwL+LxfsJ/4PbX772cjuIO/zuoJt9N4oqi/g54uf6OwSMpsRejDVK7HtCwGh2JOxALavp69IXbxvvDq7xteNn54eNiQ1lqjIu5V3SvpORsRBdABFYnd3Afgb0gspKEdshSRI2NjqS7qUVxkBOTg5Lly6lvLycadOmNbjf0aNH6z2++uorAO666656+0+fPr3e/nVnTzuapMIknv7nafLL8+nt1JvFoxfXpgBvgAl+wlVoZ+JO1HLjwV36jLe3N76+vnh7d77OUp+onjFRKBSMGjUKqG1bHx8fxo0bV7OvLgOHqtGQEfUZwb097m1dQbIM214WmteSAu5eKmTvrhU7L3hiO3QfD8oyrP96htEWIjHZxtiNhuu2HTG0bfvRWNtGphXy5s4/ACgv8mNXZAGVKpmuzlbXdlJVpQgUrv6P3vkt3Dz72srsYIwURjwf8jwAv0b9SnZptuYOkoRy+H9ROgSgHP5fkCS2xXVeFyEQ4gl9nPsADQQRVxMwSvSTaqUIJm4HDH1C2xAUFAQIt+H169frrB4tjg7y9fUlLy8PSZLIzs5m+fLlWve7+eab6332ww8/IEkSTz75ZL1tbm5uWo/RBZeLL/PUzqfIKs2iu0N3fhj7A9am1k0ed4vXLdiY2JBZksmZzDMMdBvYAbVte5ycnHRdhesCOzs7ANRqNdHR0fTo0UOjbeuuBtja2nZ4/a7ms5Of1cqIDmuljKgsQ+jrcHIFIMG07yF4ettV0swGHvhNKAwdW8LUS0fY6uHGtvhtvDL4FcyMGvCLNtBiNHXsa28V6anCJeNqHXsDrePq/jb7Sjkbz6ax/lQKkemFWPgextgSzCuDeehWf+4Z6I1KLTP5m0OtO2FlmVD2urhNuO/dvQz63N0G36TjGekzkmDnYM5nn2f5+eX8Z8h/NLbbhkyFkKnYAslFyZzLPodCUjDerxXuinpCX5e+HE0/SlhWWOMTNuPeh9jdEB0KsXtr1draCMM4oW2YNWtWjRfB66+/zuTJk3VSjxYbA63V5C0qKmLt2rUMHz6cbt26taqMjiC7NJundj5FenE6vra+LB27FDszu2Yda2pkysguI9kUu4nQ+NBOawwYaBumTJnC/v3C13f+/PmsW7cOCwsxeAoNDWXTpk0AuLu717gM6Yp9yfv446KYgfzg1lbKiMqyCEI89r14f+c30O/+NqxlFQojuON/4BjAkNDXcFcquUwR+2K3Mj6wcw5q9I3m6tjveXmEwSBoAyqUavZcyGTdqRT2XcxEqRYxRKYmpRhbJgKw8Ymn6WIrVsJS80sxM1Y0+fs4WF3l1lp+RWT/jt8PRmZw36rWxfHoCZIk8cKAF5i1cxZ/XvyTR3s9iqe1p9Z9t8dvB2CI+xCcLZw7spptSqPJx+riEgiDnoTjP4i4kNkHRd9pQK+47bbbuPvuu/nrr78oKSlp+oB2osN0w37//XeKi4t56qmntG5fs2YNK1asQK1W06dPH5577jlmzpzZrLIjIiLw9fXVmF0tLy/nwoULADg4ONClSxeNYy5dulTT8P36iaCc/LJ8Zu2cRWJhIs4mzsz3no9RmRHUudepVKoafXgbGxu6dtXUNA6xCGETm9geu52XB7yMmWntTGV+fj6JiaJj9/T0xMXFRePYc+fOIcsyFhYWBAZqSp4lJyeTmyuUAXr06IG5uXnNtitXrhAbGwuAq6srHh4eGsdGRkZSWVmJiYkJvXr10tiWnp5OZqZI3R4QEIC1de0KSFlZGRcvXgTA0dERHx8fjWOjo6MpLS1FkiT69u2rsS0rK4u0NBHk5uvri729fc02pVJZMytua2uLv7+/xrFxcXEUFRUB0KdPH4yMajuwvLw8kpJEYhkvLy+cnTU79bAwkard0tKS7t27a2xLSkoiLy8PgJ49e9ao+gAUFhYSHx8PiFUqd3d3jWMjIiJQKpWYmZnVi3lJS0sjKysLgG7dumFlJZbwZ86cycKFCykoKGDbtm106dKFO+64g8TERI3EItOnT+fixYv06dNHo9zMzEzS09MB8PPzq1lpAKioqKhRKbKzs8PPz0/j2NjYWK5cuQKITJF1E8RkZmaybds28vLy6NatG4OGD+Ltw28D8EjQI1hlWRGWFYa1tTUBAZoxAwkJCRQUiJnhoKAgTE2rBhuyTNm2NzA/IfyPC4e/h+2ARzSODQ8PR6VSYW5uTo8empm6U1JSalQpunfvjqVlbeBjcXExMTExALi4uODpWXWzv+lpjBz8mLRjDitsjfl7/zuMd+4PjrX/ycuXL5ORIaRH/f39r7mPqCY7O7vGtatLly44ODjUbGuqj4iPj6ewsBCA3r17Y2xc2w3rSx/RXB37y7lFZCdGA4Y+oqV9hCzLhKcW8vvxeDadTaeoora9+3nbcc9Ab0zsTvPhCZku5l0oTMqDPsIY8LK3YM/LI4hNvkx2tnCP8fT01Oi/rU0gOzGa7MSqPsLNHtbcC8nHwMSK1BFfkF3qDmFh9fqInJycGjdHb29vjVlgtVpdI4zQoj4CKCgoICEhAQAPDw9cXV01jm1NH3Gzx80MchnEyayTfLj3Q/478L+1fUQVFy5c4O8oodp2tYtQZ+sjupiIOiQUJhCXFkdXT81jNfqIEf8RGZozI+D0LyS7jTGMI9CvPkKSJFavXs2DDz6os4Rj0IHGwIoVK7C3t+eee+6pt+3BBx9k0qRJ+Pj4kJmZyYoVK3jiiSeIi4tj4cKFTZatVCrrqbHIslwTmKFU1o+6VyqVNdsBrlRcYfau2cTkx+Bk5sTLPi9jK9nWSD7VpbFye1v3xsrIigJlASczTnKLzy0129Rqdc2x2tJOV1ZWIssyJib11YpUKlXNsVd/1+aUW/e7NlRu9Xetfq67TVu51W2obbVIW7nVtPS3qUvd79rS36ZuuY1dLw21oVKp1Jp1saHfxtHRkVWrVjFjxgzKy8vJzs5m1apVGseOGjWKhx56iIqKCq6msd+87ndt7m8uyzLff/89H330Ua0ChASBrwdiGmhKD4cevBDyAuFh4RrlN1QnDfZ9XGMIJPZ+HtOe93K141NFRQVqtVqjU27Od230twkcR0jKfyD5a46ayGT+OBbn6atQ+A1rUbn6ch3qYx/RGDKNX4eGPoKa/auPzSoqZ/Wpy6w/lcrFjKKafRzMFUzo6cgTI3vR3U0EEs7fJ/KQ9LfpX6+P8LK3QFFqjmW5aNtublbY22tOGGQnVX2X4mz4+RG4fE4k9XtoPUXFNlRWTRhcTXPbsEV9BE23YWv7iGd6P8PJfSc5kHuAhwofqjEGquseWxhLSlkKxpIxo31HN7tcfbwObU1scTV1JbMik4jciHrGgEYfYekIw1+DHa/D3g9QTx3cZn1E3e/U3P+yoY/Q3keYm5uzaNEiTpw4obW+HUGHGAMREREcO3aMZ599VsMSrWb1ak2d4HvuuYcpU6bw8ccf88ILL9SbHbsaY2PjeheSJEk1N8y6VnXdY6q3lypLeXb3s0TkRGBvZs9nN32GSaHYpq1jb6xcc1NzBtsNZl/uPv5J+kfDGFAoFDXHauvsTExMkGVZa7lGRkY1x179XZtTbt3nhsqt/q7nz5+nsrJSo420lVu9XdufWFu51bTkt7maut+1pb9N3XIbu14aasO6+9Slsd9m9OjRrFq1imXLlrF3796azsXHx4eXX36Z0aNHo1QqtZ6zsXLrfteG6lu3rrIsM2/ePBYtWqSxn9NYJ0wDTVFXqFFsV2AyyaTZ10sNBz6F/UL5KzX4OfK7zcBDS51MTU1RqVQtbsOmfhs3z9sIzN5MdGk82xTlPPrLnSJWoe+MZperL9ehrvsII2NjLl4uYuv59Hr7aGPtqVS6mFfibWOMvVP9a9TQRwiUssTx9Ep2x5dwNv0oqqoxhKmxgiGeZtzuY0Y/N1O8PD3wrjIEKlQVHE49DMAgh0EaM+zVNKePMC7Nxmvny1AQJxJSPboB3IMxiY295jZsdh9RRVNt2No+Itg5mBDbEM4UnmF1wmqG9hwK1N7LDmYJ+cYQuxBsTW2bXa4+XocKhYJuVt3IrMjkYuFFpjClXrkafcTgp+DEcsiNxSH8R/IDHmuw3JaMI6rb1sTEBFdX12b9lw3jiMbHEVevQnQkknwNAufZ2dm4uLjwzjvvaJUXrWb+/Pl8+eWXnDlzhv79+zer7D/++IP777+fbdu2cccdtXrAarW6ZumnGhsbG60/aHOoUFXw/J7nOZJ2BGsTa1aMX0Evp15NH9gIR9OO8vQ/T2NvZs+ee/dozUugz4SFhdX8ya9e+jTQevLz89m1axfGxsb4+voSEhLSYecODQ3V+B9NmDCBPiP7EOocCkaQ9nMauXtzWbNmDQ888EDzCz68CP4RLkaMeRduvYYEZdfAuuh1vHv0XfzVxmxMjEMCGPFfGP6q3mum65JypYrzKQUcT8jlZEIeJxNyKSxrQL+8CSQJvB0sCHCxrvOwIsDVGicr01bHm8HVwcz16ahg5pbUQ5Zlzibns/50CpvOpmm064Au9twz0JvJwZ4kXIrU2t8eTj3M7F2zcbFwYdeMXSikVtzj8hLgl6ni2dYLHt0IzrobcLQnF3MvMn2zECtYO2UtPR17EhYWRkVFBa9eepXsymw+G/5Zpw4ermZN1Bo+Ov4Rt3rdyvdjvm/6gFOrYPNzImD8vl/BRtMFCCsXodbWAgzjhLanrce3LaHdVwYqKipYtWoVAwcObLYhALXLL+3ZCJXqSl7Z/wpH0o5gYWzB92O+v2ZDAGCw+2AczR3JLcvlePpxbvG6pemD9Ahra+uaP7mBtsPe3p6QkBCdtO0333xT+/rbb5j66FSe3/08FEB3qTvhe8Nr9mu2MXD0u1pDYOSbOjMEAMb7jeejYx8RTwXHek7j5gsbYN+HkBsrApmNDSpDAAWllZxOzONEQi4nEnIJSymg4qrYAEtTIwJdbTibkt9keWOCXMktriAm8wqFZUqSc0tJzi1l38Usjf3sLEyEYeBiTYBrraHg42iJiVHjfby+BDM3tx5/PD2UI3HZrD+VQmxWcc02Dztz7h7gxd0DvAlwqePb30B/W511eLjP8NYZAlnRwhAoSgMHP3h0Ezj4trycTkIPxx7c4X8H2+O3882Zb1g8ejHW1taE54aTXZmNpbElw72H67qabUJ18rFzWSI+oFFDW1kOe94Vr9VK+E2LqIO1K7wU3qJ+0jBOuL5od2Ng06ZNZGdn895777XouFWrVmFiYsLAge2jyKNSq3jz0JvsSd6DqcKUr0d9TX/X5hsrjWGsMGas71j+uPgHoQmhnc4YuDogzEDb0dFtq5bVJBUmcazgGG73umEXaMdvjr/xw18/AOBs4cyyKcuI+iiKCxcucPToUYqLi2uCoBvk+DLhhwrCJ3X4K+38TRrHxtSG0b6j2R6/nd1+gdzc7SvY+n8ieC4/Ge5fLfxnbzDS8ks5UTXrfyIhl4sZRVy9FuxsbcogX0cG+zsy2M+BIA9bLl4uapZ05UtjAunjZYcsy+QUVxCbeYXYrGJis67UPFLySoURkpTP6SRNA8PESMLXyYoAFyu6XrWaYGsuBhnNDWbOK65oV2OgufW467vDVDexuYmCCb3dmT7Qh6EBThgp6g/atPUJsiyzL2UfIOQzW0z6OVh1F5Rkg0tPeGQD2Ho0fVwn59n+z7IzYScHUg5wJvMMIQEh/JEtVNJGdxmNuXF9N+XOSKBDIKYKUworCkksTMTPzq/hnY1Mwc4birMBbY4gCrFq1MJM84ZxwvVFq4yB7du3U1xcXLOcERkZybp16wCYOHGihhLIihUrsLCw4MEHH9Ra1qeffkpkZCSjR4/G29u7JoB4586dLFiwoF6Ud1sgyzIL/13ItvhtGEvGfD7ic272aNscB+P9xvPHxT/YnbSbt29+GxMjg/VsoH1RqVUkFCYQmRNJVG4UkTmRXMi9QHFlMR6zagcChRWFGCuMCXIM4rUhr+Fk4YSXl1eNakZZWVnjxsDJlSKpGMCt82DE6+35tZrNtIBpbI/fzvaE7bwyYw+mDr7w52OQdASWj4YH14Kz/soaw7W5w6jVMpcyr1QN/nM5kZBHan5pvf38na0Y5OtQNfh3xM/J8ppceED4yjpbm+FsbcZNXTX1x8sqVcRnVxkImeI5Llu8Lq1UEZN5hZjMK0CGxnEuNmYEuFjhYNmyQYo2ZFlGlsVQSJZl1DLIyDWGkVznffU+MiCraz8vKG1egLUMDPZzYPpAbyYGe2Bj3vK+/2LeRS4XX8bcyJwh7kO071SQUjXAu4qMCNj+KlRcAY9+8PDfYHVjaML72voyrds01l9az6LTi1g+bjk7EnYAMLFr50w0pg0TIxN6OfXibNZZzmefb9wYkCQY9Sb8Wl+8RaAW2w3ulDc0rTIG5syZUyN/B7B27VrWrl0LCEmsapnD5ORkdu7cycMPP6whi1iXnj17smnTJrZu3UpeXh4WFhb079+f3377jfvvb3uNclmW+fTkp6y/tB6FpOCj2z5ihM+INj/PANcBuFi4kFWaxZG0Iwz3uT6WJw3oB0q1ktj8WKJyo4jKy864DwAAIABJREFUEQP/i3kXKVXWH/yZGZlRklhC/sV8ypLK+P2r3xkZPLLGQL18+TKHDolZYEdHRw35tnqc+RW2VLkDDX0ORr+jNzeRmzxuwtXSlcySTPan7GdswFh48h9YMwNy44RBcP9q8LtV11XVSkvdYcqVKsJTCzgeL3z9Tybm1RuwGikkenvaipl/PwcG+TniYtO0K4CDlWnrdOy1YG5iRJCHLUEemoGbarXM5cKyKiNBc0Uho7CcrCLxaC7TFotgW43BfKsj4lrP0kcGMq63e9M7NkK1i9BQz6HaZ7OV5bB0JBRnNlyIwgQeWnfDGALVzO43m02xmziVcYpFpxeRW5aLg5kDN3ncpOuqtSl9XfpyNussYVlhTAmY0vjOAaPBMwTSw4SFW42kEAZjwOiGjzVwQ9AqY6BaJ7gpfHx8tMor1WXKlClMmdLEhdyGfBf2HasihbzjgqELmOA/oV3OY6QwYpzfOFZHrSY0IdRgDBhoNRWqCmLyY2oG/VG5UUTnRVOuqj9QsjC2oKdjT4Icg+jl1IsgpyC62nXl4w8/5q1VbwEw76F5fP3119x+++0cO3aMefPmUV4uynr88ce1qiAAEPYHbHxOvL5ptshwqSeGAIj/3JSuU1gRvoKNMRsZ6zsWXHvCU7tFoqWUE/DLNLjza+ivfaVSlzTXDWXRrmgSsks4m5Jfz9/fwsSIAb72VYN/R0K62GNl1vJu3svegv3PdOdK7uUG97Fy9MDjGtxyFAoJT3sLPO0tuK27pmJcUVklcVXGwb9xOfx5MqXJ8qoTdekazzZwVao2Bhp0ETIyFQGfxdlAA9eMWy8RGHqD4W7lzn097uPXqF/5KeInAMb5jet0Qh5NEewSDDQj+Rg0vDogqyFwgl714zcy2ibzOooOyzOgD6wMX8mSsCUA/GfIf7ir+13ter4JfhNYHbWaPUl7KFOWdRp/xYSEBFQqFUZGRvWSWRm4Nppq2zJlGZfyLmm4+lzKv4RSXV/hxdrEmp6OPWsG/b0ce+Fr64uRliyTc+fOZdmyZSQlJREZGcmYMWPq7ePi4sL8+fO1Vzx8PWyYDcgiq+WEj/XuBpKQkECIqVBoOpR6iOzSbJFp1NoVHtsMG+ZAxN/iOScWRr4BHaDS0NbUHRg7WZky2M+RQX4ODPZzpJenbZMBuc1CWY7773c0PvPciqDD5mJjbkI/H3v6+dgT6GbTLGNg5eOD6elhg4SEJCEUpSSQkFBIwpVJgqptYofq/RSSVPN59WVd971CkohILeDOqtWHtuTqPiGjOIOInAgkJG7zvk37QU26fgCj39a7/2hH8VTwU6y/tL5mcBVi0XHKbR1FP2cRRHwp7xKlylIsjJswQmtWB86BXGeSdt9HwuVs/IdgfnV2mIYxjBPanh/Df+TRgEd1cu4bxhj4/cLvfHHqCwBeHPAiDwU91O7n7OvSFw8rD9KL0zmUeogxvvUHYPpIQUGBQSWgnajbtiWVJUTnRRORE0FUThRRuVHE5seikuuvptma2moM+ns59cLbxrvZKiOOjo7s2rWLyZMnEx0dXW+7j48PmzdvxstLi7xc5EZYP0vMIoU8AhM/08tBRkFBAVaVVnSz7EZMSQxb47byWG+hqY2JBdzzo8hOfPBzOPiZcB2a9p3YpkNkWSa9oIyjsTnN2n9MkCvjerkzyM8Bf2era/b311onhQnpxQrc1LLWoFcZCakVQYftiYuNGR527fdbKrS0Q1twdX+7P2U/IGZ+nS0aiZlr0PXDCDz63tCuH04WTjzS6xGWnluKo4kjnrJn0wd1Mtyt3GtckaNyohjgNqDxA7QZkEFTIGoLnFkFcftFf+jfgAF6FYZxQttyPus8a6PXGoyB9mRjzEY+OPYBALOCZ/FU8FMdcl6FpGC833h+iviJ0ITQTmMMGGgfZFnmUO4hwgrCSCxLJP1sOrIWdQdHc0eNQX+QUxCeVp7XPOjr3r0758+fZ8OGDfz2229kZmbi6OjIjBkzmDFjBhYWWgZSF7bBuifETFK/B2DK13o/m36b423ElMSwIWYDj/Z6tLbdFAoxW+oYAJtfhIi/oCAZ7v8NrDvGnUKWhZ/8+ZQCwlMLOJcqnrOvNBw0fDXVCj7tyauvvca5v2PZ8bD2QHIJmcw+z+Cqh0ZhZ6faGGhSRUiSRC6NNTM0P5dVhoBQ4Mk+T5KSnkJvy96tk2bVcyRJItg5mD3JeziXda5pYwBqDci0M+L53lWQeESs+uYnwc+T4ea5op/U8STJjUSlqpK3j7xdL6NxR3LdGwM7E3by9hGhhf5Q0EM8H/J8h55/gt8Efor4iQMpByipLMHSxLLpg3RMUFCQrqtwXbL+0nqWJC3R+MzVwlUM/J16EeQYRJBTEG6Wbu0y2wsiw+e9997Lvffe2/TO0Tvhz0eFNnXwDJi6WK8Ngerr1q/Cj9Vpq0WcRW5U/dwhIQ+BfRf442ERR7D0dhj/kdBi10YrEvJUk1FYxrmUAs6nFnA+JZ/zqYVkX6kf62GkkPBxtCQhu1hLKR2ALAtXgfQwMsL+YXjqMuZN1T4YUKplTqerWLR4M6uHtSBBXStpy2BmfaxH3f62pLKEf9P+BWieJn5mlOZ7w6pADZYmliwcs1DX1WhX+rr0FcZAdjPiBkAYiKPfge2v1Yo/+N0Cc47Ajjfg9M/w73cQswvu+gG8GjYwDOOEtmNF+Api8mPwtdFdHpDr2hg4kHKA1w6+hlpWc1e3u3h18KvtNshqiF5OvfC29iblSgoHUg60W8ByW6It7b2Ba6NcVV4TrzI1YCrj/MbRy6lX424AuiRmtxgsqyuh1zSYtgS0xCLoE9XXrbOpM6O6jCI0IZSNMRu1JxL0vw2e2gW/Tof8BFj7WIPlqixdMJof0aRvfGadgX/1rL82NRwjhUR3V2uCvezo621HHy87gjxsicm80ixt/2tGrYa8eEg/K1xM0sOEH3FpLgBuwORAsfSvBq42/4wVEm/tLWdv0joWLfq6XeSf6+Jlb8Gel0foPANxe9Wjbn97MOkgFeoKvKy96GbfhAxuVjTs/UDzM8OqgAbX+72sr0tfoJlBxNUEjITnjmt+ZmYjhBV6ToJNz0N2NCwfA7e/Are/DFqk0a/3tu0oYvNj+eGcyPvzgv/dOqvHdWsMHE8/zvx981GqlUzwm8A7Q9/RyVKhJElM8J/A8vPLCU0I7RTGgIG2Z130OjJKMnC1dOWtoW9hZqTHGXHj9gv1HVU59JwM9ywHo87VVUztNpXQhFC2xW/j5UEva8/z4dyd9Hu3YPvDQKwk7RKWalkiotgGpyIVXg61n2cWlYkBf7W7T0oBmVoG/goJurvaEOxtR7CXHcHedvTysMXcRLth5UEOjlJhg98rR25+gB8AKiXkXKoz6K8a+FcU1d9XYQyuQWw6kcSO85c5na5mx5lkbP96QMMvPV9lwc7YQkBFWFgYo0e3/yy0l71Fuw/29aEe+5NrXYQanbhSq2DjXPEf7ToKyvJqXT8MqwI3DL2dhAtURkkGGcUZuFm5XVuBgeNh7r8iYWPEX7D/Y4gOFasErj3bptIGalCpVbx95G2UaiXDy1WM3rmQK7MbEQVoRzrXHb6ZhGWF8dye5yhXlTPCewQf3vahVoWVjmKCnzAGDqYc5ErFFaxNrZs+yMB1Q6mylOXnlwPwTN9n9NsQSDgs0tUry4Tk3PSVWmeF9J2hHkNrgusOpBxgtK/2AVKObMsblc/zo+lnWrcrJJk/KkYQfCacLKUNYenFhKcWcLmwTMu+0M3VmmAve4K9bAn2tqeXhy0Wps3rexzMZDabvYmzVNDgPlmyHRVmd2rfqCwXbiPVg/7L5+ByOGiTqzM2B7feQmO8+uHaC4zNWLhiMCdPJovvZG5TL+jQVlHKSD8j9iaodOrjer2hUqtq4gWalKI++q1wcTOzhanfQPYlTdcPAzcEliaWdLfvzsW8i5zPPn/txgCITO0zVopVgq3/J1YQf7gdRr8l4gn0fIW4M/H7xd85l3UOKxMr3iw3QSJNZ3W57oyBC7kXmLNrDqXKUm7yuInPRnymc33hQIdA/Gz9SChMYG/y3qYThOiYgoICZFlGkqQGk8UZaD5/XvyT7NJsvKy9GOU6ivz8fP1s26RjsHoGVJZAtzFw7y9g3HmWgq++bicHTGZl+Eo2xG5o0BgA2KMOIUzdlWApHoVUf3D7gemPcOBHAAplS3JkG/JMbSg3dURh5Yylgyv2zh64untiZmsMlkqwBKyMwaT5q5FeTnZUuPsjZ4QhaQksl5Gwc/fH1MkOKkpEptm6rj6ZUcKt62pMrcG9r+bA3zmwwdWeAQMGcPLkSQCWLVvGvJdeotItGOOM86jN7DEqz2f13RYMWlFGcHBws7+fAe1UX7cReRHkluViY2LDQLeBDR+QdRH2VLkHjf8Q7LzF42rXDwM3xL2sr0tfLuZd5FzWubYVKQmeDr63wKbnRAzBzjfh4nahOOTgd0O0bXuSeiWVRacXATB/4HzcjRxRr5+ls/pcV8ZAXEEcz/zzDEUVRYS4hvD1yK/1Yha22lVoSdgSdiTs0HtjICEhoUYyrF+/frquTqemuLKYFedXAGJVIDUpVbdtW5BSlajoKjKjYMt8UJZA1xFw36/toh9fTWp+aZv7Xl993U4NmMrK8JUcSjlEdkk2xtiSml9KWn4ZafmlpOWXEplWCEh8rpzBL6b/q19PtRNmUiUO0hWMUGMrlWArleBPBiiBgqpHQgOVMjIDSyeRBdbSCSydq95XPWu8dsZ09Bv11WGqkJAxtbSD74ZC9kVNOclqzO01B/0e/YWcagsCv5955hmWLl0KwGvvvMYu1S7SnIuY7OhO+roSXuytItjNiO1P+eDmoqcxL52I6ut2a9ZWAG71urXhCSyVUuTJUJVDt7EQ8nAH1rTzcSPcy4Kdg1kbvZawrLC2L9zWQ2SxPvWTCDBOPAzf3wLjPyTBqB+VSuV13bbthSzLvHf0PUqVpQx0G8j0wOmABO66m1y5boyB5KJkZu2YRW5ZLkGOQSwevVivlHsm+Alj4HDaYQrKC7AzM1jSNwJrotaQV55HF5suTAmYQsT5CN1VRlkOS0c2nkhKYQLTf2pXWbnU/FJGfbavSVWWPS+PaLZBUKFUc/mKkvSCCvIqKjiQfYm0glIsZX9KiGf4919SnDWsweMPqPsSpu5KbykBY0mNUlYQIfsxtWIhILHl2aH0cZShJAdKsoVBVf26JLfqfdVnxVWfK8vEoK0oTTyai2SkmRSoLvH7a19buYjBft3Bv32Xa3YTGTBgALPnzObP6D9xneZKkk0SAH9ZGXPxdDqHo2ROPm1NX+scOPgFDH/lms5nQHCm8AzQhIvQ0W8g9RSY2cGURQaXIAP0cxED8cicSJRqJcaKNh7WSRIMmikmiTbMhaQjsPkF/N2GEh88D0zc2/Z8NwCbYjdxJO0IpgpTFgxdIOJZy4vARnf5MK4LYyCzJJNZO2eRWZpJgF0AP4z9ARtTG11XS4MA+wC62XcjJj+GPUl72j378bXg4eFRk1nQQOsprChkZcRKAOb0n4Oxwli3bWtkKiQyi7MROjFacOsFFvbtWo284opGDQGAcqWavOIKvOwtkGWZ3OIK0vLLqmb2xSO9oPZ91pVyNN3X8wAwceiLuXs8svUJyBqGs7UpnvYWeNpZ4GlvgSTJrDiUwNWrA8aSms8rZ1CVx1b4yVrZiRl+Apv3RSuK6xgNVY96RkMd46IsXxzXkCHgPUS4b1UP/G3c22UweCj1EGnj0vC8SdyYylLLUJgoMHU1xXaQLaZ5PuQNexirE+/Dvg/Bd5iQJzTQKjw8PEgpSiGlLAUjyYhbvW7VvmPmBdj7oXg94cNWy93eSNwI9zI/Oz9sTGwoqiziUt4lgpzaSfLT0R8e3wJHF8OehdhmHCU4P5Ki4e8BhpWB5pJdms0nJz4BYG7/ufjZ+sL5dWLlRVUBo+uvUHcE14UxMH/ffFKvpOJj48OycctwMHdo+iAdMMFvAt+e/ZYdCTv02hhwdXXVdRWuC1ZFrqKooogAuwDu8LsD0HHbastAeTWj39ab2cY3/w6nsKyS1PzSJo0HEKsJXvZikO9pb46nvQUO1v58Fb0NzNPZON+Pfq69NY4JTy2oMgZqVwf6KeIIU3flgLrvtX0BUyvxcGimdrRKKeQ9i7NFfofcGKH/LynE4P/Jne3628Tmx/LpyU85nHoYAHszex7r9hhF+UXsL95PLLEMnz2cv+77SyjdVMRB2BpY/yTMPiTcnQy0GFdXV3Zm7wRgoNtA7avGNe5BFdB9HPR/qINr2Tm5Ee5lCklBsEswR9KOcC7rXPsZAyAmRW55QUxK/P0MisvnsNv5IqQdEJnpLR3b79zXCR8d+4jCikKCHIN4zHkI/DQZEqskpd3766xe14UxkFyUjLuVO8vHLcfFsmMyibaGCf7CGPg3/V/yyvL01mgxcO3kl+WzKnIVIFYFdKlmpUF1Bso6UpGAXiYrOpuSr/He1cYMzyppx+rBfu0svzmOVqZa5RjPlY1kZ+JOQhO21DMGNJH4RHkfC4x/4RPlfdSsCnQURsZg7Soed3xca7TJ6nbVjs8ry+O7s9+xNnotKlmFscKYB3s+yDP9nsHW1BYGwQPFDzBu3ThiymNIL07H09oTJn0GqSeFJvnfz8CDa/U6KZ0+sy95H9BIorEjiyDttME9yIBWgp2rjIHsc9zHfe1/Qrde8NRuOPApHPwcwtcLJbqp30L3se1//k7K7qTd7EzciZFkxLu4YLx0uFgJNraA2/4Phj4Hpc3PRt+WXBfGgIOZA1+P/lrcoPQYX1tfghyDiMqNYlfSLmYEag8UNND5+SniJ4ori+nh0IOxvnrUOebGCXehq4NPOzBZUXPlKOeN6c4Qfye87C1wszPDzLh1BtXUblPZmbiTrXFbmT9wvkbOgauzyh5WBzO24lON4zsiu209qo22dtSOr1RV8tuF31hybglFVXkHRvmMYv6g+fjaaq5muFu5M8h9ECcun2Bb/DaeCn5KrHrM+AmWjRJqI0cWwa3z2rye1zuFFYWcyjgFiPwC9ciIhH0fi9d3fAy2+n2fM9DxtCr52LVibAqj3hAS1H8/I/KZrJ4OA2fCuPfBzCChXpfCikI++FeogM0sLico7lexoedkmPCRiPdSqwGDMdBqPh/5OX52frquRrMY7zeeqNwodsTvMBgD1yk5pTmsubAGgGf7P6uTZHf1KM2D/Z/C8aV15CclQO7QVYETCbm8u6l5QdSjg9zo43XtgfbDPIfhbOFMdmk2B1MPMqrLqJpt+pLdth6SJDTj20E7XpZl9ibv5YtTX5BYmAhAD4cevDr4VYZ4DGnwuEn+kzhx+QRb47byZJ8nxSqMW2+44xPY/ALsXghdhkKXm9usrjcCh1MPo5SVBNgF4GPro7lRpaxKLlYB3cdDvwd0U8lOiEqloqCgAAsLCywsdJ+wrj3p6yyMgYTChI4XKPEeCM8cgN3vwbHv4dRKiNsrstb7Du24eug5Xxx4k6zSLPwqKpmdmQ6OATDxE+FypQfowSjl2gmwC9B1FZrNeL/xAJzIOEF2qRaJRz0gPDyc06dPEx4eruuqdEpWhK+gVFlKH6c+jPAZobGtw9tWVQn/LoGvQ+DfxcIQ6DYGJn8F1Vr2HbAqcC4ln0d/PM6MJUcJT2s4w+610FDbGiuMmdx1MgAbYzbWO87L3oI+XnYNPnSW+TZgpNCOD9AyW9xKLuZeZNbOWby490USCxNxMnfi3WHv8sfkPxo1BMLDw3EtcMVYMiYmP4bovOjajQMeheAZ4jpa94RQVzLQbDac3wBAb3MtLmyHvxKrQ+YG96DmkpyczEsvvYSzszNOTk5YWloycOBA1q9ff90mybM3t6eLTRcAzmef75BzavS3ppZi1erRTWDnA3kJsPIO2PkWVNZP0HhDUVbAsY1PsT51LwAL8osxG/U2zD2qN4YAXCfGQGfC28abYOdg1LKafxL/0XV1tKJSqVCr1ahUDaiaGGiQzJJM/rz4JwDPhTxXz4e9w9pWluHCNvjuZgh9TawMuATBQ+vh4fUw8HHhfgLt5oYCcOFyIU//cpI7vz3MgegsjBUSE/q0jxRdY217Z4DI2nsg5QC5ZTfeYDW7NJsFRxZw75Z7OXb5GKYKU54Kfoqtd2/l7u53NxnTolKpsJAsCLEV18zWuK21GyUJJn8JTt2gMFUEul6ng662plJdydmCswD0t70qeLCue9CE/wnNdwONcurUKfr378+iRYvIz6+NOTp9+jTTp09n7ty5161BUO0qdD6rY4wBrf1t1+Ew5zD0fxiQ4cjXsHSEiFG70ZBlOPsbpd8MYkGWCBC+z8iJgbOOiPiAdszj0xoMxoAOqF4dCI0P1XFNtGNubl7zMNAylp1bRrmqnBDXEIZ51te175C2TQ+Dn6fA7w9ATozQo5/8lVB86V41E1HthuLco83dUADisq7wwm9nuGPRQXZGZqCQ4O4BXuz5vxG8NbkXZsaNdz2t8dNvrG27O3Snt1NvlLKS7fHbW1RuZ6ZcVc6K8yuY/Pdk1l9aj1pWM95vPJvu2sSLA17EysSqWeVUt+twNxHgujV+Kyp1nUGAmY2IHzAyg+hQIT9ooEnOZJyhRF2CrbEtvR3rrAyoKoVRpa4UPtn97tddJTsJV65cYcqUKeTmCmPf3NycoUOH0qVLl5p9lixZwnfffaerKrYr1cZAWHbHDLwb7G/N7WDaYrj/N3HvyYoScUX7PxVubzcCl8/DjxNgw2wWm1WQYmKCm6k9L927Bex9mj5eB0hyJzOT1Wo1RUVFGp/Z2Nig6EQqFpeLLzN23VgkJP6Z/g9uVm66rpKBNiDtShqT/p6EUq1kxbgVjbpdtAuF6bDnfTi7GpDFwGzosyKo09y2Q6qQnFvC17svsf50CuqqnmVSXw/mjelON9fa3B/tkYG4KdZEreGj4x8R5BjEn1P+bNOy9Q1ZltmZuJMvT31J6pVUAHo79ebVwa8ywG1Aq8stV5Uz8s+RFFUUab/GT6yArfNBYQxP7ADvQdfyNa57/nf8f/wa9StTA6by/q3v127Y/ynsfV9klJ77r2FVoBksWbKEOXPmADB06FA2bNiAq6srsiyzcuVKnnzySQD8/f25dOnSdZd7ICI7gvu33o+tqS2H7j+kVVmtwynOhi0vQdRm8d5rIIx5V0weNISVS+fNoVGaD3s/gBPLQVYTbmnLQ24OqJFZPHoxt3vf3ujhuhzfXhcBxJ0Ndyt3QlxDOJN5hp2JO3mk1yO6rpKBNmDpuaUo1UqGuA/pWEOgohiOfAOHF0Flifisz3QY845QKOgAMgrL+HZPDL+fSKJSJayAMUGuzBsbSG/P+sFsXlUSoR3JRP+JfHryU6Jyo7iYe5Eejj069PwdRUROBJ8c/4TTmacBcLV05aUBLzGp66RrDmY3MzJjnO841l9az5a4LfWv80FPQPwBiNwAa2fC7ANgYZBQ1oYsyzWSohoqQpfDYX9V4qE7PjEYAs1k3bp1Na8XL15ck2NAkiSeeOIJfv/9d/755x/i4+M5ffo0gwcP1lVV24VAh0DMjMworCgksTBRP0RVrJzh3lVw7k/Y9orInv3z5MaPsXaFl8L1zo2mUdRqCPsN/nlbJJEEKntN5W2TPNSFCUz0n9ikIaBrOs90+nVGjatQgn66ChloGcmFyWyIEYGAz4U81zEnVavh7Br4ZiDs+0gYAt5D4MldMH1FhxgCOVfK+WBrJLd/spdV/yZSqZK5rbszf88dxvLHBms1BHSFvbl9zaBrY2z9QOLOTmZJJm8ceoP7t9zP6czTmBuZM6ffHDZP28yUgCltpmo1qeskAP5J/IdyVbnmRkmCO78GBz8oSIKNzxniBxogriCOlCspmCpMGepZpbpS1z2ox0Toe69uK9mJyMnJAUChUNC/f/3kTUOG1Bqu1a5E1xMmRib0cuoFwLnsDpQYbQpJgn73iYBZ/xFN7KwAWy8hf91ZSA+DH8cL1a+SbHAOhEc28GOPW7hUmICDmQOvDXlN17VsEoMxoCPG+Y5DQuJc1jnSrqTpujoGrpEl55agklXc4nULIa4h7X/C+IOwbIQYOBSli4H/9JUiS61P+894FZRU8tmOi9z2yV6WHYynXKlmkK8Dvz99M6uevImQLvo5Gzw1YCogAmArayRWOzelylK+D/ueyX9PZlPsJgAmd53M5rs2M7f/XCxNLNv0fAPdBuJm6caVyiscSDlQfwdzu6r4AVO4sAWO/dCm579e2Jss1EWGeAyp/Y0OfQmXzwn3oMlfGtSDWkD1SoBareb48eP1th86dKjmtYuL/iYnvRaCnYOBDs430FzsvODRDTB4ViM7tW+CxTalNA+2/p8IkE45DiZWMPY9mH2YWKcu/HBO9HuvDXkNR3P9z8xscBPSES6WLjVJfHYk7GBmn5m6rlINKSkpqFQqjIyM8Pb21nV19J64gji2xG0B4Ln+ja8KXHPb5sSKpcgL4nyY2Qplgptmg0n7B3xfKVfy0+F4lh6Io7BMBIMFe9nxf+MCGR7oolM/1ea07TCvYTiaO5Jblsvh1MP1pF91jVqtZsOGDSxdupRz586hUCi4+eabmTNnDqNGjdJoX7WsZlv8Nr469RUZJRkA9Hfpz6uDXyXYJbhN63V1207sOpGV4SvZErtFe1I9zxCReGj7q7DzTfAZAl6tj1W4Hql2Eepv3Z/ExETM8y/htv8TsXHip2DTPqpb1yv33XcfO3fuBGD27Nn8/fffGBsbU15ezi+//ML+/fsBCAwM1LpycD3QkcnHWnUvkyRxbScehszI+tvNbCHlFCCJ+AIL+zatc5ugVou4vF3vQIlYjaLPPaK/s/VEpVbxzpF3qFRXcrv37Uz0n6jb+jYTgzHQWgpSRHBMQzQjCGaC3wROXD5BaEKoXhkDOTk5VFa9ajWGAAAgAElEQVRWYmJiYjAGmsH3Z79HLasZ6TOSPs59Gt231W1bkitSvx9fCmqlSBQ2aCaMeF34ZbYzZZUqVh1N5Pv9seRWBf72cLNh/rhAxvVy04tgtea0rYnChMldJ/NL5C9sjNmoV8ZASUkJd999Nzt27ND4fP369axfv56ZM2eybNkyjIyMOJt5lk9PfFrjDuBp5cm8gfMY7ze+XX6Lq9t2ctfJrAxfycHUgw0nORryNCQcFMGD62aKxETm+uM2pktySnNqBmzdjbqTnZFOr8P/Ee5BPSeLvA0GWsQDDzzAe++9R2JiImfPnqVbt2706NGDjIyMGhcigP/85z+dSnCkJfRz6QdAdF40pcpSLIzbLy6r1fcySYJxC+HXe+pvKy+EfR/WvncOBK9BQojAexC49gYjHQ5b087A1pch9aR479JTGDf+tfEAv1/8nbCsMKxMrHjr5rf04t7YHAzGQGtQlsPSkVCc2fA+zQiCGeM7hg+PfUhkTiRJhUl0se2YYE8DbcfF3Is1cR/P9n+27U+grBDKBPv/B2VVutndx8HYheDas+3PdxUVSjV/nEjimz0xZBYJ/3B/ZyteGtOdyX09MVJ0jo6uLncG3Mkvkb+wL2Uf+WX52Jvrx+zTrFmzNAwBJycnKisrKSwUSdpWrlyJfRd7jEcasz1ByKNaGlsyq+8sHg56GHPjjpMCDnQIpLtDdy7lXWJn4k7t2dQlCe78VvjU5iXApheE+1AnuTm2JwdSDiAjE+QYhJOpE84RK7AouCSCrSd9YWijVmBhYcHWrVsZO3Ys6enpqFQqIiM1Z59fe+01Hn/8cd1UsANws3TDxcKFrNIsInMiGeg2UNdV0k7AaLF6mH5OJCuUjESekoGPiyDj1JOiz8iOFo+wNeI4Ywvw7C8Mg2ojwdar/f8vJbmwZyGcXAnIYGoNI/4jVuSNTGp2S7uSxqLTiwCYN2Ae7ladZ3XPYAy0BiNTMetfnA2otezQvCAYR3NHhrgP4Wj6UXYk7GBW38Z86TqO7t27I8typ7Fodcl3Z4Vm9Tjfcc1Sp2l228oyXNgK/7wFuXHiM9deYimyW/skCKuLUqXmrzOpLNp1idT8UkAoAL04pjt3h3hhbKR/M2vNbdsejj0IcgwiKjeKbfHbeDDowQ6qYcNER0ezZo244dnY2LBq1SqmTJmCSqXi559/Zs6Lc3Cc4MgOrx0oEhRISEzrNo3nQ57HxbL9/Z+1te0k/0l8lfcVW+O2ajcGQCzzT/8JfhwnFIZOroDBT7V7ffWduipCgbblmMesFhsmfgY2Bqnp1tK7d2/CwsJYvHgxK1euJCkpCTMzM0aNGsX8+fMZM0Z/Mr62B5Ik0delL7uTdnM+63y7GgPXNE6QJBEbUL06IKtgwoeaGXmvZNUaBiknIPW0WDlIOioe1dh4CJeiagPBMwTMrJtXj6Y8PCydIHY37HoXSquCzoNniMm4q1S+ZFnmvaPvUaosZYDrAGb06FyrewZjoDVcfSHXo/lBMBP8J3A0/SihCaF6YwxYWrZtwOH1SkROBHuS9yAhMbf/3GYd06y2TTsLO96AxKqANysXcT2FPAJNZIptiqb0/e0sTDidlMdXuy4Rn10MgKuNGc+P6sa9g30wM9Zfbe6WXLdTu00l6ngUG2M36oUxUG0IALz55ptMnSoCnZHAabgTwV8FU2kqAp598OHzyZ8T5BTUYfXT1raTuk7iq9NfcSrjFOlX0vGwbkAC07tKW3znGxD6X6F45dG3nWusv5SryjmaLgYzIzxvwWL9XOH613Oy8D02cE24uLiwYMECFixYgEqlQqFQ3FATW9XGQHsrCl3zOKF6dSDtjHgOuGqSy9oFekwQDxC++jmXIKXaODgpsnQXpYsYuuo4OkkhJs6qDQTvwcLd6Op7Z3M8PBTG4r8JosyJn4LfrVp33Ry3mcNphzFVmLJg2II2U2/rKFpsDBQVFbFw4ULOnj3LmTNnyM7O5p133mHBggUa+z3++OP8/PPP9Y7v0aMHFy5c0PissrKSDz/8kJUrV5Keno6/vz/PPvsszz//fEur13HUXMhngTrSeZKRuNFdfWE3wOguo1l4dCHRedHEFcTR1a5r+9TXQJuz+IzIsjqp6yQC7AOuvcDCNNi9UOgVI4OxeW3SsMaStDST1PxSRn22j3KlttUsgUTt1exoZcqc4QE8fLMvFqb6awS0hon+E/ns5GdE5kQSnRdNoEOgTuuTkpJS83rs2LGoZTXH0o/x5akvicqNAlMozyjn8h+Xuf+e+zvUEGgIdyt3BrkN4mTGSbbGb+Wp4EZm/Ic+CwmHIHo7rH0cntnfJtd0Z+RY+jFKlaW4WbrRM3wLZJwHC0eDelA7cL0lFmsO1YpCYVkdk4m41UgSjH4Htr8mnpu69hUKcOkhHiEPic8qioUbYsoJYSSknoLCVMgIF4/TVWNQUxvwCqlyLRosjITquM4GPTwQhoCJNYx6A4bM0nAJqkt2aTb/Oy5yg8zpPwd/O/9WNIhuabExkJOTw9KlS+nXrx/Tpk1j+fLlDe5rYWHBnj176n12NXPnzmXVqlUsXLiQwYMHs2PHDl588UWKior473//29IqdgySJC6stDOan8uqFklj2ZnZMcxrGAdSDrAjfgdz+s9ph8oaaGvOZp7lYOpBjCQj5vRr4jdrainSxBLC18Hhr0EpXHIIvhdGv92mqcvziisaNQRAGAKWpkbMHRHA47f4Y212fS4eOpg7MNx7OLuTdrMpZhMvD35Zp/WxsxOBtWbeZiw+v5ik2CTSi9MBsDaxJiAzgDVvrEFWytjN1J8g3MldJwtjIG4rT/Z5suEZWEmCad/BktsgNxY2vwT3LL8hB7/VLkIjHPsgHfpcfDjpMxFnZsDANdLbqTcKSUFmSSaXiy/rt996wEh4rr4MbLMxtQLfYeJRTWFalWFwUigTpZ2BiiKRDDG+jhSyXRew96ZBQwBEYPDdy5pU9vr4+McUVhTS07Enj/V+rPXfR4e0+E7v6+tLXl4ekiSRnZ3dqDFQLYvXGBEREaxYsYIPPviAV155BYARI0aQk5PD+++/z+zZs3F01EON1tTTcOqnqjd151OB8L/A9xYwaV4k/wS/CRxIOUBoQiiz+83W+ZJmcXFxjS+glZWVTuuir3x79ltABKM2GvjdnKVISQFyVYfkczOM/1C4VuiIHx8bzM0BTjo7f2tp6XV7Z8Cd7E7azZa4Lbw08CWMFboxfNKvpGMx3IJuDt0w9zHnmHwMioURMCVgCqMtRzNp5CRkpfhukyZN6vA6NtS2Y/3G8sGxD4jJjyE6L7rxuBlLR5j+I6y8Qxi//reJgMEbCFmW2Z8sJC5HxBwFtRJl4CTKfMchFRcb+ts25ka8l1maWBLoEMiF3Auczz7fbsaA3ratrSf0ulM8AFRKyIrSNBCyLoikiAVJDZfj1B0e3dTkhMWepD3sSNiBkWTEu8PexUShffVA32mxU5MkSW06WN2wYQOyLDNzpqa05syZMyktLSU0VA8z9JbmwdrHhAyc9xA0DAEkoUG7Ymxt4GcTjPQZianClLiCOC7lX2qXKreEmJgYLly4QExMjK6ropecuHyCY+nHMFYY80y/ZxrfuTrYvLG/mqwWsxQzfoYnQnVqCABYm3fO1YCWXre3ed+Go7kjOWU5HEk70s6106SgvIC10Wt5PPRxxq0fx8a8jZj7mKOuVFN4qpCMZRl4bvTk6PtHuXXArTXSiHfddRf+/h2/BN1Q29qa2nK7t5DV2xq3temCutwkVrxAuAdkRLR1VfWayNxIMkszsZCMGXz5Av/P3lmHR3GtDfy3GjdiRIgSLATX4k4JFArUboV6S6m3t/K1vaVC5dborVEq0FLHKaG4tkghUCBICESIu8tmZb4/hmyyycaz0fk9T54kOzNn3nn37NnznvMKtq5E93yQi9HR0nhrAbrqd1lrFB/rMLpVKKF7mJiKe+5nsOQovHAV7toMk18RPTzMcf079RoCBeUFLDu6DIBFoYuMFaA7Ihb91i8tLaV79+5kZmbi5eXFvHnzeP31101W+qOionB3d6d7d1PrdcCAAcbj9XHu3Dn8/f1xdHQ0vqbRaIyxCS4uLvj5ma7exsTEUFJSAsDAgQNNjmVlZZGcnAyAn58fLi6V1VT1Oh1F39+BU95VtPY+qP71G/xwozEIJjX0IdwOvIAq7SzClxOQzfsC+s4GIC8vj4SEBAC8vb2NVRDt1faM9RnL3sS9fH/se+4KuotevUx9mBMTE40l1Hv37o21dWUawaKiIq5cuQKIVRi9vEwD+c6fP2/MB9yvn2lnTU1NJSNDXLUODg7G3r4yCl8QBE6fFv0Ou3XrRo8epi4rly5dorS0VMxgMMA0IDAzM5OUFLGysr+/P87OlekbdTod586JkwBHR8cak5vY2FgKCwsB6N+/v4nfZ25uLlevita8j48Pbm6mOfYr5LW1tSUkJMTk2NWrV8nNzQWgT58+WFlVpn0tKCggLi4OAE9Pzxr98dy5c+h0OtRqNZ/Gi7sCC0IW4GPvQ0pKCpmZmQD07NnTZJWkpLSUtIDbCaruTlaFbP9w0oY8S2ioaVGmjIwMUlNFV5GAgACjKwlAeXk5Fy5cAEQXk4CAAJNrr1y5QlFREQC9+4ay/1IW3/4ZV6sMVbl06RL6LDX29vYEB5vGQsTHx5Ofnw9A3759UasrM2bl5+cTHx8PgJeXl7EiaAVRUVHo9Xqsra3p3dt0BTkpKck44Q0JCTEJTisuLjZ+4bi7u+Pt7W1y7cWLF9FoNGi1NSsKp6WlkZ4uFuQKDAw0GSMMWgMjHEawvWw7P535yTipraDJY4Rebxy3HBwcCAoS44DKdGXsT9rP2qi1ROZEohf0xmuGeQ5jhMMIlt21jORYsd0NbDC5Z1hYGE888QSnT5/GxsamVceICt0aDKZb6mVlZfSX92cPorvVk0OfNAmcMztGXPe4GD9weRdla24lZtJKegT37TRjhJWVFX36mKb9rRgj1qeuB2BMUSFWAjDrfbQ6Z9Dp0Gq1JCUl1cjZHh0dTVlZGQqFgv79TeuYtNQYERYWZpJ7Pzs72xjH4uvri6tr5U6hwWDg7NmzAB1mjNDpdJw+fRqlUkloaKjJsbrGCIvNI2oZIyqIi4szphQODQ1FqaycqtU2j6jgzJkzuJSK96puDLTFPKKsrIzo6GigHc0jSvVcLXQBp2n4zFuE28abxNgDwQAyBSVOIcQUuWEbE1PnGLG+YD0ZpRn4O/qzeODiZo8R2dnZNfpYa2ExY2DgwIEMHDjQOHgdOHCAjz76iD179nD8+HFjZ8nOzjbrBmRnZ4darTYpFlIbOp0OQRBMXhMEwfgFptPpzF5jbvIA4mBX25ef7NjnOKX+iUGuImXs2/jbupgEwRQZfMkYt4Kgk2/ikBsFv94ufvlNedWkXb1eb9LuzMCZ7E3cy5HcI9ymva2GTHq93nht9Wetq10QA7Rre9aq7VY8q7u7O3q9HoPBYJzkmmu3QofmdorMtVuBpd6bimdtSLt19ZfadKjT6YgqiuJkxknUcjUPhD1Q41nNtZvjMghPp97Y5l9CVm0XqdSpJ3H9n0Je85Z1tlv1Wc3JW15eTnRGCfsSSjm6eS+5Jeb1aQ5RTzKz70FVmapTnw7Ly8sxGAxmg/rq02FD+rdcLsfd3d2k/fraHe04mu2Z2zmWdaxG8ayW6IcarYbDKYeJiI1gz9U9FGuLjef0sO7B/D7zmd1ztnErf8LvE1i6dCnbtm2juFg8193dnQceeIDnn3+emJgY4xdyY3TY3DGigqpfxhX3CbUJxUZuQ7YmmxNpJxjhNcJ43OwYIZfDjSvQfzYa66KreJ36AEPgyhrtdtQxwlxBq4r35mSeWKxoYkkJ9JsL/efjHB9PVlZWne1qtVqzx5ozRtT1njdUh+19jKj4LsvKykKr1ZrVUUPbbS/9sCGf5QCrAADOZ59Ha9AaXVdacoyo0K1CoWjw9327nEcIQo00p0m97kar09XZ7oXiC2yM3wjA0tFLsVZaoxE09eqwrjHC3P1aC4sZA0899ZTJ/9OmTWPw4MEsXLiQr776yuR4XW5HDXFJUiqVNc6TyWTGL8yqVnXVa8x9oYIY61BxzORNu3oM2Z7XAEgJewy9h7gVVzUIRhkXB47exI7/H2Fp65Af+xwO/w+SI1FM/8jYbvXBboLvBNQyNRnlGSRqEgnFdPVCoVAYr63+rFXlNTeIVhwz97xV26141opVlbKyMvLy8mptt0KH5t4jc+1WYJH35hoNbbeu/lKXDtfFrwPg5t4342nnWeNZzbarVpPfYzJ2+dHVWhXIGvwoKrXa7D3rareqTFWvzSzUsPmfZH48kkxcjsb4uoeDFeNC3Fl/MqlGO9Wp0FN9/aU69elQrVaj1+vrbbcp743BYECpVNZYdaqv3WCHYPys/bhadpU/4v7g1j63Go83tR8KgkCiNpHDuYc5dukYudpc4zFvO2+u63Ydw2yH4WvjW2PVz9vbm5deeolnn30WnU6Hm5sbgYGBJp9hQRDM9u/WGCOqr0LKZDJsrWwZ6TyS/Tn7iYiLMDEGah0j7NwonLEcp4134Ja0i5IL62HMAybtdsQxouo5VVEoFBQIBSRoEpEJAuMEG7G4GOIqbMVKem3tVky6zLXb2DGi6rHm6rC9jxEV32XFxcVoNJpGf27aYz9syGfZV+GLrcKWEn0JMbkxRveVlhwjqu6+pKamNuj7vt3OI6qlOS31Ho1KJqu1XYPCwOqU1QDc3OtmhnUf1qBnrW+MMHe/1kImmDOVG0hWVhbu7u5mU4uaw2Aw4OjoSHh4OL/++isglhDfs2ePcYupguLiYuzt7XnxxRd56623TNqo2PqpwMHBwfLlxYuz4ctxYtqq/gtgwTcNy4RxfjNsWiJGs9t5wE2ras1T+8z+Z9iZsJN7+t/D00OfbuEHkGguBxIP8OjeR7FR2rBt/jbcbNzqvwjE7cdV4WIfqKAiBe0D+5qdUUWj07P3QgbrTyaxLzoTvUH8SKuVcqb382ThUF/G9nTjYlohsz/5s972tj42lv4+7SdjjaVZc34N/z3+X/q79ufn2T83uZ2rBVeJiItgW+w24gvija87WTkxw38G4UHhDPIY1OHyTzeE42nHuXfHvdir7Nl/y36sFLVXXjfh4Huw900xo9YD+1qlqnZb8cvR91gW/T2Dy8r4fux7EDqvrUWS6MQ8tOshDqcc5uWRL3NLn1vaWpz2z5V9oofH9e+KC7x18MGJD1h9bjWetp5smrsJe3UDi5zVQ5vNb2mDomOCIJg8WFhYGL/88gtpaWkm/lUVPonVfSTbBIMBNj4oGgKuPWHOxw2fwPWbCx6h8NudkHEevpsjBtCNebJGGzMDZ7IzYSc74nbw1JCn2jyrkEQlBsFgzCB0a59bG24IZF2GNfNFQ8Cjn9gHoNEpaKsjCAJRyQWsi0xk8+kU8qq4AQ32c2bBEF/mDPDGybZyBcLFTo2VUl5nelErpRwXu7orZ3c2ZgXO4sMTHxKVHcWVvCuNqhmRXZrN9vjtbIvdZlLkx1phzcQeEwkPCmeM9xhUteSn7iwM9RyKp60n6SXpHEw6yDT/aQ27cOwzEP8XxO4T6w88sBfUnbDooU7D/nM/ghImOgRLhoCExRngPoDDKYc5k3WGW5CMgXppYJrTc1nn+P789wC8MuqVFjME2ppWNQbWrVtHSUmJSbrRuXPn8vLLL/Pdd9/x/PPPG19fvXo1NjY2zJw5szVFNM+fH8Ll3WIRqJu/b3yxHLeecP9u2Po0nPkFdi+FxL9h3hdgU+mDO85nHLZKW1KKUziTdYaB7gNrb1OiVdlzdQ8Xcy5iq7TlntB76r8AID8Z1syDkizoPgAW/S7+X1vFxQaQUVjG5lMprItMIjq9cgXB09GK+UN8WTDEl54e5gcnH2cb9j47sc4KxC52anycG5YSt7PgauPKON9x7Evcx+Yrm+vdlSvRlrDn6h4i4iI4mnLUGAgsl8kZ5TWK8KBwpvhNwU7VjtLtWRi5TM6soFmsilpFRGxEw40BuRzmr4QVY8X0f3/8W8z40cko3vcmfyt0gIyJk5a1tTgSXYDWyCjU1dDqtbxy+BUMgoHrA69nQo8JbS1Si9EkY+CPP/6guLjYuJ1x/vx51q0TfalnzZpFZmYm//rXv7j11lvp2bMnMpmMAwcOsHz5ckJDQ7n//spKlaGhodx33328+uqrKBQKhg8fzs6dO1m5ciVvvvlm29cYiDsE+64N3uEfgGdo3efXhtoOblwBfqPgj+cgehusnCAaF17ipN9aKa4mbovbxva47W1mDFy8eNEYpFg94r0rojfo+fyfzwG4s9+duFi71HMFolvZmhshP1HcTbpjA9g4c7XXvXgUvk9Gr3vxa+CugEanZ8+FDNZHJrH/kqkb0IzQ7kY3IIW8/vZ8nG067WS/Of12bvBc9iXuY+uVrTw++PEaNQe0Bi2Hk8VA4H2J+yjTlxmPhbmFER4UzoyAGQ3fMepgNES34YHhrIpaxcGkgzWCsevE3kMsQPb9XDj1AwSMh4GdaCUz+SSH//kGrYcrflauBHY3zRomjbeWoyvrdoCbmJknviC+cZ/HBtIVdftt1LfE5MbgbOXMCyNeaGtxWpQmGQOLFy82prYCWLt2LWvXrgXElFhOTk54enry4Ycfkp6ejl6vx9/fn8cff5z/+7//q1Gg4vPPP8fHx4dPPvmEtLQ0AgIC+Pjjj3nsscea8WgtQGE6rL9PTDc16HYYfEfz2pPJxFy33oPgt7sgNx6+niZWnxxyFyAWINsWt42dCTv59/B/t4l/cUWaRnMZELoiO+J3cDnvMg5qB+4Kvav+CzSF8ONCyIoGRx+4cyPYi4GXuS4DyZjwLSqViroSiAmCwNnkfNZFJrH5nxTySyvdgIb4ObNgqC+zB3jjZNO53U8aQ3P67Xjf8ThbOZNZmsmRlCOM8x2HIAj8k/kPEbER7IjfQZ4mz3i+v6M/4YHhzAqahb+jf0s+RrukIbrt3a03IS4hxOTGsCthFwt7LWz4DQLHw4TnYf/bsPUp8BkCbiH1X9fe0Wlg02L224gxFBODw2u4f0rjreXoyrp1tnbG39GfhIIEzmadZayP+VjFptLVdBubF8uXZ74E4PkRz9PNuh0Ww20GTTIGKvIE18WGDRvqPacClUrF0qVLGxSE3GoY9KIhUJQu+nrPer/l2vYeDA8egI0PQ8wO2PIYXD0G4e8zxmcMDioHMkoyOJVxiqGerV+ASqlU1pqxpKuhM+j4/LS4K7Co3yIc1Y71XKCBX26HlJNg0w3u3Egy7uQmi9lC4vP16HQGlEo9imuvVXXNySgoY9M/yayLTOJSepGx2e6O1swf4sOCob4Eu3cOH8WWpjn9VqVQER4Uzo8XfuSHCz9wKuMU2+K2kVyUbDzH1dqV6wOvJzwonFDX0C4V09NQ3YYHhrM8dzlbY7c2zhgAGP9vsf5A/CExfuD+3Q2u4t5u2f82+syLHPQXs1xN7DGxxinSeGs5urpuw9zCSChI4EzmmRY3BrqSbg2CgVcPv4rWoGWsz1jCA1u/CrylaVY2obag1aKt9y6Dg/8FlR08uB/ce9V3ReMxGOCvj8RsGoIBPMPg5u946cK3bLmyhVt738pLo15q+ftKNJhNlzfxyl+v4GzlzPYF2+v2A9frYN3dcOF3UNvDoi0k2/Vj8vv76wzaVSvl/Gd2P/ZezOBAFTcgqypuQGMa6AYk0XQuZF/g5q03m7xmq7Rlqv9UwgPDGeE1oob7kIQpqUWpTF8/HYCdC3biZe9VzxXVKEwT4weKM2HoPTBnuQWkbCWSIuGbqZxUq1jk7Ymj2pH9t+w35nyXkLA0P1/8mbeOvcUYnzGsmLqircXpsPx04Sfe/vttbJW2bJq7qfHjWgNpy2xCnS/HXUtwebeY8g7EzEGWMARADJ4b9wzcuQls3SD9LKycyEyFuP20K2EXeoOZalQSrYJWr2XFaXEAvbf/vXUbAoIAW58UDQGFGm79EXyGkltcXqchAFCuM/Dypij2XsxAbxAY6u/C2/PDOP7yVP5322DG93KXDIFWoE+3Poz0GolSrmRij4m8N/499t+yn2Vjl3Gdz3WSIdAAvOy9GOYp5tzeFret8Q04dBcDipFB5CqIWt+yArYW2jLYtBgEA/v9xdivcb7jJENAolUZ4C7GDZzNPItB6BruPC1NSlEKy0+KixJPDX3KYoZAWyN9u1UnPxk2PAgIMOxeGHCT5e8ZNAEePgRr74HEo4za8TpOQcFkl2VzIv0EI71GWl4GiRpsvLyR5KJkXK1dTYpRmWXXf+DUGpDJYeG3EDSxUfdys1dzy/AeLBjiS5DkBtQmyGQyvpz6JXpBj1rRtdKrtiThQeGcSD/B1tit3Bd2X+MbCJ4sLpIceh+2PAFeg8C14ele2wX73xZjhuw82G+tBi1M9J3Y1lJJdDF6ufTCSmFFQXkBCQUJBDoFtrVIHQpBEHj96OuU6koZ4jGEm3vfXP9FHRRpZ6Aqei2suxdKssVUkDPebr17O3rD3Vth9KOogKkFYtXS7Zc2tp4MEkY0eg0rz6wE4P6w+7FR1uG7/OdHYpVpgDn/g75zGn2/bxYN598z+kiGQBujkCskQ6CZTPOfhkqu4nLeZaJzqlfdbiATXwS/68T6HGvvFlfaOwpJJ4zjQfzUl4grvIpSpmSMz5g2Fkyiq6GSq4zVh89mnW1jaToeW2O38lfyX6jlapZet7RTFoysoPM+WVPY8zokHgUrR7j5O1BZt+79FSqYsQxu/p4ZGtFvfHfsVrRX9reqGGlpaSQnJ5OWltaq921PrLu0jvSSdDxsPbipdx27Q5GrxboRANPfhCF3Gg+VluvZEdUwHUpuQM1H6reWozG6dbJyYrzveAAiYiOadkOFEhZ+Iwbhp52BXa80raOvYZcAACAASURBVJ3Wpop7EGE3c0Atfq6HdR+Gg9p8fRqp31oOSbeVKUZbut5AZ9dtdmk27x5/F4CHBz7c6XdVJDehCi5uq1zdnfsZdAtqO1n6zWW4Wx+6bbuJHDn8ve5Wxox5Hq57QowzsDDp6enG/MFVq0J3FUp1pXx15isAHhrwEFYKK/MnntskpkEEGPs0XCemwk3MKeGHown8eiLRpDKwhGXp6v3WkjRWt+FB4ey5uodtcdt4cuiTTVtRc/QW4wd+XAh/rwQnXwispciPnTs4+TT+Hi3NvmWQdQnsPeH6d9l/8BnAfBahCqR+azkk3VbGDbS0MdBZdFtUVMRvv/3GmTNnkMvljBo1innz5vHO3++Qr8mnt0tv7u5/d1uLaXEkYwDEfP+bHhb/HvUI9LuhTcUBUHr0ZlrIfH69vJ7tdjaMMVYt/hxsGlD0SqLJ/HrxV7LLsvGx9+HGnjeaP+nKXlh/v7gCOPQehMmvcPhyFqsPx7PnQjrXEgLh6WhFeoGm9YSXkGgHjPcdj4PKgfSSdCLTIxnefXjTGgqZBqOXwJHPxLic2rD3gCejQFmL4d4aJB6HI5+Kf89eTp5czqmMU0DdxoCEhCWpMAYu5V6iVFdat8trF+Prr7/m2WefJT8/3+R1v0l+OC5yRC6T89qY17pE4L9kDOg0ok9qWT74DIOpr7W1REZmBIfz6+X17HFy5T+5Raiit8GXE+CWNcaqxZYgMDAQQRC6VB71Coq1xXwb9S0g7gqoFGYGgaQT8MsdYNCi6zuPX90eZ/XyQ8RkVNYFGNvTjUXXBeDhYMXcz/5qLfG7NF2531qaxurWSmHFtIBpbIjZwNbYrU03BgCmLIUTq0FbXMsJcrG4X1vGemhLK92DBtwCfWZx6Mrv6AU9IS4h+NjXvmsh9VvLIekWPG098bDxIKM0g/PZ51usdlFH1+1XX33Fgw8+WON1uY0cmxtEg2m8zXhCXUNbW7Q2QYoZ2PkypJwSV9tvWg3K9hM8OMRjCO427hQaNBy+4V1w9oO8BLFqceR3YjpLC+Do6IiTkxOOjvUU2OqE/HThJ3I1ufg5+DEn2EwgcMYF+GEBaIu54jiS4Rdu5qXNF4jJKMJWreDOUf7sfno8P9w/kmn9PHFzsMJKWffHzEopx8Wu/fS7jkpX7reWpim6nR00G4Bd8bvQ6JuxO6ZUQ/iHdZxggMkvixXe24p9yyA7RnQPmvkOAAeSDgD1ZxGS+q3lkHQrZkmzhKtQR9ZtQUEBTz/9tPH/2267jd27d7N161aGPT0MlYsKTZqGbS9v6zIVlrv2zkDUBtEXFeDGL8G5R9vKUw2FXMH0gOn8eOFHthfEMKFq1eLfH4fEYzD2KSivbcWM9uNL2wEoKC9g1blVACwetLhGXnlDdhzaVXOxKsvjpKEnt2c8RCkQ4GrLXaMDWDjMF0dr050EH2cb9j47kdzi8lrvW7UCsYREZ2Go51A8bT1JL0nnYNJBpvlPa3pjA2+Bg+9CTmy1AzJw9IKiTLiyT6xTYO8pLu5YwjjIT4LiLNPX0qLg8Cfi31P+A7bd0Oq1/Jn8JyC5CEm0PWHuYey+ulvKKHSNn3/+maIicSf/jjvuYM2aNQAcTztOSVYJAMmrkim5VMLu3buZPn16m8naWnRdYyDrMmx5XPx77FPQa0bbylMLMwNm8uOFH9mXuA/NdUuxuu2XyqrF//wIZ36BugqTtQdf2g7CmvNrKCwvJNgpmOsDrje+XlimJeLwP4w7dAc+QjoXDT24p/w5RvbuwaLrApgQ4o68jmxAPs420mRfosshl8mZFTiLVedWEREb0TxjQCaDWe+Ju3ImCFCQUhnzZby5SjQKHDzF3xU/Dp5g373ybzuPhu8G6zSwchIUZ9R+zp7XIOwmjmdEUqwtxtXalf5u/Rv1qBISLU1FRqHTmafbWJL2walTp4x/V7gKlepKWXp4KQADGUhUdJTxXMkY6KxoS2HtIjGHtd91MOnltpaoVga4D6C7XXfSitP4M+lPpvhPEQvy+Ay7VhMhq46rm+ZLq9FojL6AVlZdw4jIK8tjzXlxdeCRQY+gkCu4nFHE90fi2RkZzbe8ho88jSTBg4iBn7JpwnAC3eqoSFwLXVG3rYWkW8vRVN2GB4Wz6twqDiYdJF+Tj5OVU9OFCJ4C3oMh9bTom49M3PkMnCBO0IvSxZ/SXDBooSBJ/KkPm241DYeKHYaqRoTaQdxlLc4CzLkOyIzj7YHEay5CPSbWm0lJ6reWQ9KtSD/XfihkCjJKMkgrTqO7XfOz/3Rk3VaNc9DpdBgEA/87+T+uFl7Fw8aD6wqv40d+rHFuZ6ZrGgN/PAfpUWDrJlaLVbRfNchlcmb4z+C789+xPX67aAxAZdXi72+ErIu1XN00X9qLFy8aU4YNHGi5QGVLIggC+/btY+XKlSYpwxYvXszQoTUDqFadW0WxtpheLr2RlYRx5zfHOBSThTUa1qjfoZ88gVK1Ky73RPCMV68my9UZdNtekXRrOZqq297detPTuSeX8y6zK2EXC3stbLoQMpk4nhl3BwS48QvoOdX0PJ0GiqoYB4Vp1/6/9rswrfKYQQelOeJP5oW676+0ASsHzBsC1+SZ/DICsD9xPwATfGtJhVoFqd9aDkm3IrYqW0JcQriYc5GzWWdbxBjoyLodMWIEK1asQOms5LUdr2GTY0NSkbhw8OLwF3nx5hdNzu0KtN9ZsKX452c4+T0ggwVfi/6m7ZyZgTP57vx3HEg6QIm2BFuVrXjA0Vs0CD4Krbl1LVOA1wBxNa2LUV5ezp133slvv/1m8vq5c+f45ptveOqpp/jggw+MFn9WaRY/XfgJgOS48Txw+CQAKpmO35xXMKD0EoKVIzb3bIHuTTcEJCS6IrODZrP85HIiYiOaZwxA5e5Ayinxt7nxTWklxn/VFwNmMIi7CEXp1QyF6oZDBmjyQVcq/pijynh7KfcSKcUpWCmsGOU9qnnPKyHRQgxwG8DFnIucyTzTPJe9Do7OoMN7nDfBzwZj3deabEU2FIEaNSNlI3n5tpc5ceIEAH379mXChPoN+s5A1zIGMi5AxLUI8okvQPCktpWngYS6huJr70tSURIHkw8yM2Bm5UGlWlwdq+5LK+ibnGHDxcUFnU6HUtkxu8ejjz7K+j/2ofYMBkClUmEwGNDrxdiKz37agrWrN2+99CzRaYU8t++/lOnL0Jf6kpYahKO1kluH+/JEwXvYRR8DpQ2y29dC9+b7/nZ03bZnJN1ajubodlbgLJafXM6J9BOkFqXiZd+MBRiZDKa8Cn88L/5uzha+XA52ruKPZ7+6zy0vuWY0ZMDlnXDwfdPjVcbbiixCo71GNyinu9RvLYek20oGuA/gt0u/tVhGoY6m28SCRDZe3simy5vILM3Epr/42Sy+VEzuwVzy/87nZPlJ4/lqtZovv/xSchPqdGiK4LdFoC2BoIkw/t9tLVGDkclkzAycyddnv2ZH3A5TYwDM+NICChU4BzTpfn5+fs0TuA2Jj49n1a+b8X7wS+R1BAb+mKfj3KeHOJOWiF3wLmRy8NDN5aH5A5g30Bub3S9A9EaQK8W6Dn4ts8LXkXXb3pF0azmao1svey+Geg4lMj2SbXHbuC/svuYJEzwJHv27eW00FrUtdAsUf3qMgMt7IPWMaARU24U1ugj1aNiKotRvLYek20rC3MMAOJ99Hq1B2+xCWh1Btxq9hr1X97I+Zj3HUo8ZX3excuGG4Buwi7PjjVVvkJeaZ3JdSEgIX3/9NePGjWttkduMrmEMCAJsfQqyosVMEvO/BrmiraVqFDMDRGPgUPIhirXF2KmqBK/W8KUF9FpYNRPu3Ajdw1pf4Dbihx9+QG7jUKchACBTKDmdVIB1933I5Dp6OvZn/Z0PIpfLYd9bcPwrQCamnA3puluqEhItweyg2USmRxIRF9F8Y6CtqT7eVtkVyCzJNKZvbEi8gIREaxHgGICD2oHC8kJicmPo51rPblgHJiY3hg0xG/g99nfyNWJ1YRkyRnuPZn7IfCb3mCwWFB0O9994PxEREZw+fRq5XM7o0aOZPHmyOBfoQnQNY+Dkd3D2N3EFZ+G3YO/e1hI1ml4uvQhwDCC+IJ59ifuMBX2MVPWl9QwDBDFIelU43P5bi61st3cSEhIafG6QdSy53U6gE+DFUU+JH/6jK+DAu+IJs96DsGb6OEtISDDNfxpvHXuLmNwYonOi6d2td1uL1DxqiV04mHQQgDC3MNxtO973jETnRS6TM8BtAH+l/MWZzDOdzhgo0ZawPX4762PWm7hCedp6cmPIjczrOc9sJXCVSsW8efOYN29ea4rb7uj8pk/qGdj2nPj3lFcgYEzbytNEKlyFAHbE7TB3guhD69Ybpr8Bd0eA32gx8O37eXB5dytL3DbY2duj7ObboHNtuv+JTtAxsvtIRniNgNO/wPbnxYOTXoIRD1hQUgmJroOTlRPjfccDEBEX0cbStABVx9sqsQuNySIkIdHaVLgKdZbiY4IgcDbzLEsPL2XSb5N49fCrnMk8g1KmZIrfFD6b8hk7FuxgyaAlZg0BiUpkgiAIbS1EYzAYDBQWFpq85uDgYH5LpywfVk4Uq1aGzIDbfhGDxjooV/KuMG/zPJRyJQduOYCjup4y4OUl8NudoiEgV8GCryD0xnrvExMTYwwMCgkJaSHpLYPBIHAxrZAjsdkcuZLN4Zh0SnT1XydTZeHY80MMGFhz/RoG5abCL7eLW/4jF8PMty1SwbQj6bajIenWcrSEbncl7OLp/U/jaevJzoU7682/39Eo1ZUy7pdxaPQa1s1Z1+DdD6nfWg5Jt6YcSjrEI3seIcAxgN9v/L1ZbbWlbvM1+WyN3cr6mPXE5MYYX/d39Gd+yHxuCL4BNxu3VpWpJWjU/LaF6bxuQoIAWx4TDQGnHnDjig5tCAAEOwcbc3bvvbqXeT3r2dZS28KtP8PGh+DcBrFIWVkBDF1U52UlJSXG/MHtDYNB4FJGIUeuZHM0NptjcTnklWhNT9JqQFV3ERQrtz0YMDDGZwyDSoph7d2iITDgVpjxlkUMAWjfuu3oSLq1HC2h2/G+43FQOZBekk5keiTDuw9vQQnbnmOpx9DoNXjbedPLpeEpiKV+azkk3ZoS5ibuDMQXxDe7CGBr69YgGDiRdoL1MevZnbCbckM5AFYKK6b5T2N+yHyGeQ7rMtl/WprOawz8vRLObxZXxG9aDbbd2lqiFmFmwEw+/edTtsdvr98YADH16IKvwdoRIlfD74+LOyZjHre4rC2BIAhczigyrvwfi8shp7jc5BxbtYLhAd0YHezK6CBXYmOv8NQfabW2KVdnoHT6B4BHfafDz7eCrgx6XQ9zP+3wRqNE44mMjOTzzz/n0KFD6HQ6+vbty/33388NN9yAQtGxkg20V6wUVkwLmMaGmA1ExEZ0OmOgahYhaUIi0R5xtnbG39GfhIIE5m+ZTw+HHvjY++Bt7423nbfxd3e77mKAbTsgsySTzVc2syFmA4mFicbXe7n0YkHIAsKDwptX2VwC6KxuQkmR8O0MsST9zHdg1OJWltJyJBQkMHvjbJQyJftu3oeztXPDLhQE2L0U/lou/j/uGZj8isVWwJuKIAhcySzmSOy1lf/YbLKKTCf/NioFwwJcGB3syqggV8J8nFApKt//qOR8Zn/yZ633sPb5CZXjGYY7D+Hb6D+hJAv8x8Ad60FVf15wic6DIAi8/PLLvPXWW2aPT548mU2bNuHg4NDKknVO/k79m/t23oeDyoF9t+zDSlH3Dl5HwSAYmPzbZLLLsvly2pdc531dW4skIWGWz/75jBWnV9R5jgwZ7rbu+Nj74GXnJf6298LHTvztZeeFtdLaYjLqDDoOpxxm3aV1HEw6iF4QawTZqeyYFTiLBSEL6Ofar9MZ3ZKbUEtSkiO6fBi00HcOjHy4rSVqUfwd/enbrS8Xci6w++puRnuEk1ttpbwqLnZqfJxtxEn/tNfA2gn2vAaHPhB3CK5/r8VWwpPzShsmSxUEQSA+u4QjV7KNBkBmocbkHGuVnGH+3RgVJK7+h/k4o1bWLrOLnRorpRyNzlDjmNwqFZWjmGng2bjjoiHgNRBu+1kyBLogn332mYkhYGVlhZWVFQUFBQDs3buXO+64g82bN7eViJ2KYd2H4WnrSXpJOoeSDjHVf2pbi9QkkpKS2LFjB4WFhfTo0QP/kf5kl2Vjp7JjuGfn2vGQ6FwsGbSEm3vdTHJRMilFKaQUp4i/q/yt0WvIKMkgoySDU5wy246bjZtxN6GqoVBhQNiqbOuUIyoqymQndvLkyaQUpxgLg2WUZBjPHeQ+iPkh85kRMKPediWaRufaGTAY4Jfb4NJ2cAmAhw6Kk99Oxjdnv2H5yeUMchvO30duMjvprcBKKWfvsxNNJ+HHv4GIZwABwm6GeZ+LRcqaQXJeKZPf31+vLHuemYDeIBh9/o/G5pBWUGZynlopZ6ifuPI/OtiVAb5OWCkb56pRm2HywekXOZF5iGnlcj5MjgfXnnDP9g6ZblaieZSXl+Pn50d6ejoAy5Yt44knnsDGxobff/+du+++m7w8sRjNiRMnGDp0aFuK22n48MSHrDq3iil+U1g+aXlbi9MocnJyWLJkCWvXrjVWNAfwv90fh2kOTPefzgcTP2hDCSUkmocgCOSU5ZBSlEJycTKpRakkFyWTWpwqvlaUTKmutN52XKxcTIyDChek8qxy3nzuTf7cI+7ey5QyHAY74HO9D4qgyu95Zytnbgi+gfkh8wl2DrbY87YnpJ2BluLIJ6IhoLCCm77rlIYAwIyAGSw/uZzTWZGUC9OB2l0YNDoDucXlpsbA8PtE3Wx8SKy/oCkQ4yqasTKeW1xepyFQIcu8z/6q4fajVsgZ7OdsdPsZ1MMZa1Xz/LR9nG1q7EKcyz7HicxDyAV4NCMJHH3gzk2SIdBF2bVrl9EQuPHGG/m///s/47G5c+fy1ltv8cgjjwCwZs0ayRhoIcKDwll1bhUHkw42O4ixNcnPz2fixImcPVszLaOqj7iYkvpnKkxsZcEkJFoQmUyGq40rrjauxlSkVREEgXxNfo0dheQi0XBIKUqhUFtIriaXXE0u57PP17zJndB3fl/Ks8pRdVOhdKicigbIAlgyfgmTe0xGrai7eKhEy9F5jIGEI7D7NfHv698B70FtK48F8XXwJcwtjLNZZ1E6RqHNHV3n+cUaHXkl5egMAnqDgM4gYPCZhWrWt3j88QDyS9sp/nYecdO+plxpT05OHlq9HgMy7B0c0RsM6PRVrhUEk//1BgOJOSUNkj2rqByVQsbgHi6MCurGqGBXhvi5NHvyX4P8JCjOMnnp05P/BWBWcTFBCnuxOrNzj5a9bz1kZWVhMBiQy+W4uXW81GftmcbqNjGxMhjt+uuvr3F81qxZZs/tirRkv+3l0suYFW13wm4W9FpQ/0XtgGXLlhkNARcXF5YsWULv3r3ZvG8zF3tcRNAL/PbObzw5/UlGjBjR4HalMcFySLpteWQyGc7WzuiKdLjZuDHIblAN3RaUFxgNg6pGw/5T+ylTl6F0UKKwU2BjJy7YyYplpO9JJ/dgLvFl8fyQ9INkCLQyjTYGCgsLeeONN/jnn384deoUWVlZvPrqqyxdutR4jl6v5+OPP2bnzp1ERUWRk5ODv78/c+fO5YUXXsDZ2TTotbYgkLfffpsXXnihfqFKcmDdPWJqyLCbYOg9jX2sDsd476miMeBwpl5j4JaVR2s5omSE7Dm+Vr+PY+pRDKvncF/58+RST/2CZvDG3P4sHOqLjdqCGVp0Glg5CYorfQ7/sVLzp3d3FILA4tx8UDmKrmStTHJysjEdm/Tl1LI0VrdVg4Kjo6NrHL948aLZc7siLdlvZTIZ4UHhfHzyY7bGbu0QxoBGo+Gbb74BQK1Wc+TIEXr3FusIyIbKeOfvdyiJKUFfrOeLL75olDEgjQmWQ9Kt5ahLt45qRxy7OZrU2rh48SLLJ4tugf4h/mzcs5FCWSFqhZqhHkO58+Cd/Jr1K1q0rFmzhkcffbRVn6er02hjIDs7m5UrVzJw4EDmzZvH119/XeOc0tJSli5dym233cb999+Pm5sbJ0+e5M033+T333/nxIkT2NiYunAsXLiQZ555xuQ1Pz+/hgkV8TQUpoJbL5i9vN1lyGkqeoNAUm4JVzKLuJJRLP7OLOJKZjG5GivsQ0BhG49MWYCga9gEXiGXoZDLUF77HSMfwGLZa3yqf5MB8jg22rzJE4qXyJZ3QyGTY29nYzxXKZcbr6/ahlIho7BMx6GYrHrvP9jP2bKGAIBCDU4+13YGRNelT11EA/SGomL8dHrw8BfPk+iyTJs2DZVKhVarZeXKldx99930798fEF1CXnnlFeO5VXcJJJpPeKBoDJxIP0FqUSpe9l5tLVKdREdHk5OTA8CcOXOMhgBUphQtOSvujv7111+tLp+ERHvn8OHDxr8fvPtBBvcYbHL82Wef5ddffwXEz5BkDLQujTYG/P39yc3NRSaTkZWVZdYYsLGxIS4uDldXV+NrEydOxM/Pj5tuuon169dzxx13mFzj6enJqFGjmvAIQPwhMU7g+vfAyr5pbTSSpmTOqY1ijY64rGuT/Qxxsn8ls4jYrGLKa/XDd0amCQSruGu7A2NrbX/DI6MZ6OuCXFb7LgyZk2DNPAIKkthg8yYF89ZAtyBcXFwa9AxRyfkciqk9nWerIpPB5JfhB3HF8bi1FcdsrFEKAg/l5QOCeLwNjEY/Pz/jtrVEy9JY3Xp4eHD77bezevVqCgsLGTx4MOHh4bi4uLBlyxbj5M/f358bb6y/cndnpqX7rZe9F0M9hxKZHsm2uG3cF3Zfi7RrKXS6yrLm9vaV3zGF5YWcSD8BQPmF8hrnNgRpTLAckm4tR2N1W/VzYW6nteprjf0MSTSfRhsDDcnrqlAoTAyBCiq2Ti3if6vXwMYH4MkoUFo2d3VDM+dUzeIjCAKZhRouZ1Su7ldM/lPyy+psJ9DNjmAPe3q62xPsYU+wux2BbnZ8HpnGd5eWo3Ks2xhQKxQo5PW8b+694N7t8P08FDlXcNlwq+hTT8OMgXaH9xBw8EIoTOVTFzFAcUFhET56wHswBE9pE7EaalxJNJ6m6Hb58uWcOXOGkydPotPpaqQQdXZ2Zv369V2+gqkl+m14UDiR6ZFExEW0e2MgODgYKysrNBoNmzdvJjc3FxcXF/5K+QudQYerzJWo2CgA4+5SQ5HGBMsh6dZyNFa3VT8Xa9asYcmSJSaGxHfffWf2XInWoVUDiPfu3QtAaGhojWM//fQT33zzDQaDgf79+/Poo49yzz2N8f2Xi9lhWsH1o6GZc748cIUijY4rmcXEZhRRqKnd2nWzVxPkbk+wuzjZr5j8ezvb1DqRH+k5kdXRH6OwvYpMmYuga+bA5+wnGgRr5kP6WVg9C25fBz0a7v/a5hSkwtHP4MQqKC/igI0NJ62tURsEHsgrEONK2mhXQKL94eTkxP79+3n77bf56quvyMoSXd3UajULFy7ktddeo2fPnm0sZedkuv903j72NjG5MUTnRJv4F7c3nJycuOWWW/j+++/Jy8tj0qRJvPbaa+xQ7AAgdles8dwHHnigrcSUkGi3jB49mtDQUM6dO8fx48eZO3cu//73v3FxcWHNmjV88IGYklculzdy7ifRErSaMZCcnMwLL7zAsGHDmD17tsmxf/3rX4SHh9OjRw8yMjL45ptvuPfee4mNjeWNN95o4B0MJpM8jUZjDAB0cXGpEX8QExNDSYno4zlw4ECTY1lZWSQnJwPiVlhVC1iv13Pp0qUGSfT9kQST/+Uy6G6vxMdRSR8vZ8L8PQj2sCPY3R5nWzVnzpxBEAzY2Ojo1cvD5NrExESj20Lv3r2xtrYmqJs3QmkgMttYlI5n0OZMqCGDlVJOVnICp7MEVCoV/fr1MzmemppKRoYYaBscHIy9vQfcvRV+ugUSj6JfPYf4kW+i7juTHj1MM+9cunSJ0tJSMRWZX0ithb6qyuJip0an03Hu3DkAHB0dCQwMNDkvNjbWmGu3f//+KBSVMQa5ublcvXoVAB8fn8rApewr8NfHGP75CblBC4DWox8fWBcBcHtBIR4GgRLnPsQUudFHo8HKqnIHqaCggLi4OEB0WevevbuJTOfOnUOn02FlZUWfPn1MjqWkpJCZmQlAz549sbOzMx4rKSkhJiYGAFdXV3x9fU2ujY6OpqysDIVCUWM1JCMjg9TUVAACAgJwcqpMwVheXs6FCxcAcaISEBBgcu2VK1coKhKfPSwszGQFJjs7m6SkJAB8fX1NdvEMBoMxY4q9vT3Bwab5nePj48nPzwegb9++qNWVxnd+fj7x8fEAeHl54eFh2oejoqLQ6/VYW1ub+FyDWMQpOzsbgJCQEGxtKwvLFBcXc/nyZQDc3d3x9vY2ufbixYtoNBqUSmWNhYa0tDRj+tDAwEAcHStja6qOEQ8//DBLly4lOjoarVZLUFAQmZmZFBcXc/r06UaPEVFR4iqxg4MDQUFBJtfGxcUZi5qFhoaiVFYOw3l5eSQkiOOGt7c37u6maW/FMULAxsaGXr16mRwzN0ZUUFRUxJUrVwDRPcrLy9RH//z588ZgwPrHiEo3mbKyMmPwdbdu3eocIwYMGGByrLygnAEOA4jMj2TDhQ28OOZF4zGLjBHXOH36NAC2traEhISYHLt69Sq5ubkA9OnTx2SMeOaZZ9iyZQt5eXmcPn2aefPn0ed/fVDaK8k+JvbdMWPG1PjMgDRGVNCRx4iWnkd0xTHixRdfZNGiRej1erZu3crWrVupzvPPP2/Uc2ZmJikpKYDorlk1+Ux7HCOaO4/Izs5ueKxsC9MqxkBOTg6zZs1CEAR+/fXXGj5mP/74o8n/CxYsYM6cObzzzjs8/vjjNTp7dQTk6DwHoKzi+iEIAlqtOCk0sZrdzgAAIABJREFU53+m0+mMx6tjMBiMxwyGmpPbhvqzTQxxY3iQq7jS726Pg0xD0tV4AHx9fWp0FK1WiyAIZl0S9Hq9UaaKOnE+zjY8MeomPjnzLoG+57l/8I24urri6elpvM7FTk1WwqVan7VquxXPqlc7wL/WIvx6J8r4/QQeeYEsNdDDdMWrQocymQwfZxv2PjvRGEeRlZ1NxrUB1sfHBycnJ2MchVarbbn3JvU0/Lkczm8CwYAcKOzWn9zQeznsbUv832/hotfzQF4+MkEgqdfdaHU6qtfaq9pfqhYTqkCr1aLT6cz6R5p7b2prt2rbCoXCqAtz96yr3QqZ6pK3qf274pi566vKVJ36dFheXo7BYDAZlM2125T3puKzU3G84h4NbVen06FWqwkLq8yrnZqa2mwd1te/q8tUtd3anrUxY0Rj2m3IGFH9eep7b6qOEebaHeU4isj8SHYl7eJ54XnkMnmNdlt6/G7qe+Pv788XX3zB888/z9WrV7ENsUVpr0RXqKPkcgnTp0/n5ZdfbvRnueqxut4baYxo/BhR8Xd5ebnxs9PUdttLP2wvY0R1Pdf2rFV1OGbMGNavX8+9995rNEoqUCgUvPDCC7z++uuNbre9vDfNnUe0ZayExY2B3Nxcpk2bRnJyMnv37q1hAdfGHXfcwdatWzlx4oTZHOBVkWGgbMy/UVb5wpHJZMYPQ1WrugKlUlmrH7BcLjceq/6mCYLAmYyGvWFPTgthkF834/95eXpju+YGO5VKhSAIZuVVKBTGa6t+sS7sO4vPz75PqjYBJ6cC+nkF4OVlWsQnP0VlbL+udiueNSoqSlwBGPAy/loZzsn7cD/wHDhaw5A7jddW6LBCnqqFvjLV5bgIolXu7+2Is3OlTM1+b5RK7LJP47z1Nbh6sPJgyAwud59DsdsABLXA56cfB2CxwREHIRmNWyil3qNRyWQ1JidVZartval6Tm06rK9do25VKgYOHIhKpUKv15u9Z13tVshUl7xN6d9V263vWatTnw7VajV6vb7ZOjQnb8XgfurUKaNuG9NuS44RFTI1pN3qMlVtt6XGiIa2W/V39XYriIuLY/Dgyiwg9b031ceI6u0OdRmKbbItmWWZRKZHMrz78Brttpf3RiaT0bdvXzZu3MjZs2f5PuN7MsjAX+/PurPrAHGi0Nj+XbEaW3GeOXmlMaJpY0TFeFtxvLGfm/bYD9vLGFH1u8zDw6PWZ63+3sydO5fExER++eUXDh06ZFwNnzdvHlOnTq1V3rrabS/vTXPnEebu11rIBHOmcgPJysrC3d29Rp2BCnJzc5k6dSpxcXHs2bPH5EukPn755Rduu+02tm/fzowZM4yvmy3XvOlO5Hdttrgf+NmkfF77/RwnEnIbdP7Wx8bS38fy1TUf3PkgR1KP8Pjgx3lgQPP9VU+fPl05YQ3rD1ufhJPfiwenL4Pr2ijll8EAMTvg0IeQ9Lf4mkwO/RfAmCehe+UW+keRH/Ft1LcEOAawof8TqHb8H1z/LgRPahvZr2Gi22rbyhLNQ9Kt5bCkbv/z13/YeHkjC0IWsPS6pS3atiXQG/S8e/xdfr74MwCfT/mccb7jmtye1G8th6RbyyHptuUxO791cGiVbFgWM0MqDIHY2Fh27drVKEMAxGhzlUrF0KFD6z957NMWNQQyCzW8vyOa3yITEQTq9Y1vbWYGzuRI6hG2x29vEWPAwcEBnU4nWqlyBcz5H1g7w+H/wc6XoCwPJr3UekG4ei1EbYA/P4JM0QcWhRUMvh2uexy6mfoKJhcl88P5HwB4eujTqPwmQcjU6q22CSa6lWhRJN1aDkvqdnbQbDZe3sjO+J28OPJFrBSWzQbXHDR6DS8eepFdCbuQIeO54c81yxAAqd9aEkm3lkPSbeeiSe/iH3/8QXFxsdGCOX/+POvWiduks2bNQiaTMWPGDE6dOsXy5cvR6XQcPVpZBdfd3d0YdPTee+9x/vx5pkyZgq+vrzGAeOfOnSxdurRhVQMDmjcY10a5zsB3h+P5354YYyageYO8mTfYh7tXHbfIPZvCFL8pvHHkDS7lXiI2P5Ygp4a5YtVGDVcumQymvQ42zrDndTj4HpTlw8x3wZIWq7YUTv0gGiF5YrAPagcYfh+MegQcPM1e9vHJjyk3lDO8+3Am9phoOfmaQEPd5CQaj6Rby2FJ3Q7rPgwPWw8ySjI4lHSIqf7tw3CvTkF5AY/vfZzI9EhUchVvjX2LmYEzm92u1G8th6RbyyHptnPRJGNg8eLFxmh2gLVr17J27VoAYyT18ePiZPmJJ56ocf2iRYtYvXo1IEZjb9myhYiICHJzc7GxsWHQoEH8/PPP3HrrrQ0TyAIr1HsvpvPG1gvEZRUDMMDXiVfn9GOofzeS80obnDmnNXCycmK092gOJR9iR9wOFg9a3PI3kclg3DNg7QQRz8LfK0WDYO5noGjhHOyleXD8azj6BZRcq2ps5w6jFsOw+0SjpBbOZp7lj7g/kCHj2WHPNqguhoSERNshl8kJDwxn1blVRMRGtEtjIL04nYd3P8zlvMvYqez4eNLHjPQa2dZiSUhISLQIzYoZaAss7VN1OaOINyPOsz9aTAPnZm/F8zN7s2CIL/Iq+f5bsgJxS7DlyhZe+vMlgpyC2DR3k2UnwWfWwsaHxJz9vWfBwlWgsq7/uvooTBdrBBz/FsqvvcfOfqIr0OA7QFW3PgVB4O7td3My4yQ3BN/AsrHLmi+ThISExYnOiWbh7wtRyVXsu3kfTlaWj7VqKLF5sTy0+yHSitNwt3Hni6lftOuaCBISEh2TThkz0NHIL9XyyZ4YVh+OR2cQUClk3Ds2kEcn9cTBuubKd9XMOe2BST0moZKriM2P5VLuJct+WQ24CawcYO0iiN4GPy6E234WX2sKObHw1//gn5/EStIAHv1g7FMQOh8UDeume67u4WTGSawV1jw2+LGmySIhIdHq9HLpRU/nnlzOu8zuhN0s6LWgrUUC4J+Mf1iyZwkF5QUEOAawYtoKfOx92losCQkJiRalyxsDeoPAbycSeX9HNNnXVvqn9vXgpfB+BLrZ1XN1+8FB7cDEHhPZlbCL946/x1fTv2ry7kBcXJwxMKh6IQ8jvWfCHevhp1sh/hB8NwduXw92rubPN0faWbFGwLkNIFxzufIdAeOehpAZjYpH0Oq1fBT5EQB3hd5Fd7vu9VzRNjRItxJNQtKt5bC0bmUyGeFB4Xx88mMi4iLahTGw9+penjv4HBq9hgFuA/h0yqe4WDezyrsZpH5rOSTdWg5Jt52LLm0M/B2Xw2u/n+Nciljpr6eHPa/M7seEXnUXOWuvPDXkKQ4lHeJY2jHWXlrLzb1vblI7BQUFxpRhdRIwFu7+HdbMh5RT8M00MX2nXS36s3MHJx9IOCxmBorZWXms5zRxJ8D/uibFgPwS/QtXC6/iau3Kvf3vbfT1rUWDdSvRaCTdWo7W0O2swFl8fPJjjqcdJ604rU0N+rWX1vLm0TcxCAbG+47nvfHvYauyrf/CJiD1W8sh6dZySLrtXHRJYyA5r5S3t11g6xmxjLuDtZKnpvbiztH+qBSW982yFD0ce/DEkCd49/i7fHDiA8b6jMXb3rv+C5uD92C4dzt8NxdyroguQ7Vh7QRuvU1rBPSbJxoBXgOaLEK+Jp8Vp1cAsGTwEuxUHWdHR0JCQsTb3puhnkOJTI9kW9y2NjHqBUFgxekVfH76cwBu7Hkj/xn9H5TyLvlVKSEh0UXoUgHEpeV6vjx4hRUHrlCmNSCTwW0j/HhmWi9c7dtvbuvGYBAM3LP9Hk5mnGS012i+nPZlo92FdDodgiAgk8kankM4Jx4+Gw762oOqjSjUMOhfYmCwa3CjZDPHf4//lzXn19DTuSdr56xt11/cTdKtRIOQdGs5Wku3ay+t5fUjrxPiEsKGGzZY7D7m0Bl0LDu2jHWXxDTZDw14iCWDllg8I5nUby2HpFvLIem25WnLAOIuYQwIgkDE2VTe3naR5LxSAEYEduPVOf0I9W4/WStaioSCBBZsWYBGr2Hp6KWt5397dh2sv6/240prGPEgjF4CDi3jApBYkMgNm29AZ9DxxdQvGOsztkXalZCQaH3yNflM/G0iOoOO9Tesp5dLr1a5b6mulOcOPsf+xP3IkPHSyJe4pc8trXJvCQkJCWhbY6Dj+sQ0kKjkfG758iiP/nSK5LxSfJxt+OxfQ/j1wVGd0hAA8Hf0N2bTef/E+6QVp7XOjfsvgO61uPs4eMHTF2D6Gy1mCAB8dPIjdAYd13lfJxkCEhIdHCcrJ8b7jAcgIjaiVe6Zr8nnwZ0Psj9xP2q5mg8nfigZAhISEl2KTrszkF2k4f2dl/jl+FUEAaxVchZP6MmD44OwUStaU+Q2QW/Qs2j7Ik5nnmaMzxi+mPJF6xTgurwbfjCzE3HHeujZssWETmWc4q4/7kIuk7N2ztpWW0WUkJCwHDvjd/LMgWfobtedHQt2IJdZbs0qtSiVh3c/TGx+LA5qBz6Z/AlDPYda7H4SjaO0tJScnBwMhtoLfEpIdBTkcjndunXDxsZ8WnqpzkALotUb+P5IAst3X6KwTAfAnIHevHh9H7zbUV0AS6OQK3h9zOvctOUm/kr+i81XNjOv57wGXZuXl4fBYEAul+PsXHu1X7METxGDilPPiEXJZAoxODh4ShOeonYEQeD94+8DYpBfRzEEmqVbiTqRdGs5WlO3E3pMwF5lT1pxGpHpkQzvPtwi97mUe4nFuxaTUZqBp60nK6auoKdLT4vcqy6kfmsevV5PZmYmXl5eTc5Yo9PpjH9Lfu0ti6TbxqPVaklNTcXHxweFon0tSneKd/BiaiEGIDqtgM/3X+FKZjEAod6OvDonlBGB3dpWwDYiyCmIRwc/yoeRH/Lfv//LaK/ReNp51ntdQkKCMWVYo7+cZDKY/HLl7oCgF/9v4V2J7fHbOZN1BhulDUsGLWnRti1Js3QrUSeSbi1Ha+rWSmHFNP9pbLy8kYjYCIsYA8fTjvPE3ico1BYS7BTMimkr2iyVqdRvzZOdnY2bm1uzUleWl5dLQa4WQtJt41GpVLi5uZGdnY2Hh0dbi2NCp4gZuP3ro8z+5E+eWXuGK5nFuNqpeWd+GFseHdtlDYEK7up3F2FuYRRqC3n96Ou0ildYxe4AiL9beFdAo9ewPHI5APf0vwd3245ZF0JCQsI8s4NmA7AzYSflDclQ1gh2xu/koV0PUagtZIjHEL67/rt2W6SwK6PRaGp1p5CQ6KjY2Nig0WjaWowadDpzbt4gb16f1x9Ha6kQBojuQm+MeYObfr+Jg0kH2Rq7lTnBc+q8xtvbG71e3/RtLJkMprwKfzwv/m7hXYGfLvxESnEKHjYeLOq3qEXbtjTN1q1ErUi6tRytrdth3YfhYetBRkkGh5IOMcW/ZRYUfrrwE+/8/Q4CAlP8pvDOuHewVlq3SNtNReq3tdPcODepIJblkHTbNFoldrMJdDpj4P5xQZIhUI1g52AeGfQIH5/8mLf/fptRXqPqXE13d2+BlfbgSfDo381vpxq5Zbl8deYrAB4b8pjFqoJaihbRrYRZJN1ajtbWrVwmZ1bgLFafW83W2K3NNgYEQeCTU5/w1Vlx7Lil9y28OOJFFPK2n4BL/dZySBNWyyHptnPRKdyEJOrn7tC7CXUNpbC8Fd2FLMAXp7+gUFtIn259uCH4hrYWR0JCwkJUuAodSDpAQXlBk9vRGrS88tcrRkPgscGP8dLIl9qFISAhISHRHpCMgS6CUq7kjTFvoJQr2f//7d13XFPX/z/wVwhhbwEZDhQHioITq1bBgqMC3ypqrdaF+rF1VOlwVC1qq9a2uFq12taWftQ6iqu1uAdd2g9qVRAViiIoIDJENhnn9we/3CYkgQC5JMD7+Xjkodx77sm571wOOfeekXEJsQ9i9V2kOntQ+AA/3vsRAPBev/d4nXKQEKJfXey7oJNdJ4hlYpxNO1uvPErFpVh4YSGOpx6HUCDEmkFrMMdnjsE+qieEEH2gb1MtSGf7znjT500AwMf/+xi5Zbl6LlHdbLq2CRImgX8bfwxwHaDv4hBCeCQQCBDcMRgA8MuDui9All+ej1mnZ+H3x7/DTGiGrcO2IqxzmK6LSZqAx8/KkPi4UOPr8bMyfRdR5w4cOIBevXrBzMwMbm5uiIiIQHFxsVbHbtmyBWFhYejQoQMEAgECAgL4LSzRu2Y3ZoDUbGbPmTiffh538u9g3ZV12BSwSeUu2a1bt7ip7nx8NKwo3Mjis+NxKeMShAIh3un7jr6LU2+GGNvmgmLLH33FdnSH0dh6fSuuZl9Fdkm21rP+ZBRlYO65uXj4/CHsTO2wLXAbfJ18eS5t/dB1y5/S0lI8flaG4B3/Q6VE88JlpsZGuPBeANybyVpE+/btw5QpUzB79mxs3rwZycnJWLp0KZKSknDmzJlaj9+5cycsLS3x0ksv4eeff1abprS0lJta1MKiaY3dI6royUALIzISVXUXEhjjXPo5nH54WiUNY4x7GQIZk+Gz+M8AAOO7jEdHu456LlH9GVpsmxOKLX/0FVs3Kzf0ce4DBqZ118Y7eXcwNXYqHj5/CDdLN/z35f8abEMAoOuWb89KxTU2BACgQiJDQYlup7DVF6lUisWLF2PEiBH4+uuvMWzYMLzxxhvYsWMHzp49i5MnT9aaR1JSEq5du4bdu3cb3Hz4hB/NqjFgamwEe0sTfRfD4HV16Io5PnMAAOuvrEdeWZ7SfnNzc1hYWBjMHM+/3P8Fd/LvwFJkibm+c/VdnAYxtNg2JxRb/ugztiGeVQOJf7lfe1ehy5mXMePUDOSV56GrfVfsGb0HHWw78F3EBqHrtm5KKyVav8olDBVS7RpZ5WJpnfJuqOPHj8PHxwempqbo2LEjtm7ditWrVzd4PMuVK1eQlZWF8PBwpe0TJkyAlZUVDh06hOfPn6O8vFxjHkZGtX81NDIy4l6k6WsW3YT2zX4BMgD2libN5jEf32b3nI3z6edxr+Ae1v+1HhsDNnL7unTposeSKSuTlGHr9a0AqsrcyryVnkvUMIYU2+aGYssffcZ2RPsRWP/XeiQXJCO5IBld7NWX5Zf7v2DlHyshkUng5+KHLcO2wNrEupFLW3d03dZN90jVp9m6MH7n5TqlT9sQXO/3OnXqFMLCwjB06FAcPHgQEokEUVFRePLkiVI6qVSq1RMjxS/liYmJAKDU5UwmkyE3Nxft2rXDtWvXkJycDACwtLSEm5sbbG1t63wOZmb6XZ+D6FazaNJ5uVqjh7stNQTqQCT8t7vQmYdncCat9n6E+rAnaQ+elD6Bq6Urpnafqu/iEEIama2pLYa6DwWg+enA97e/x7LflkEik2Ckx0h8GfRlk2gIkJYpMjIS7u7uOH36NMaMGYPx48fj3LlzKCoqUkoXGBgIkUhU62vmzJncMXl5VU/6HRwcAFQ1BFJTU/H48WPY2NigsLCQS1tSUoKUlBQ8ffq0Ec6aGLJm8WSA1E+3Vt0wq+cs7Lq1C+v+Wof+Lv1hb2av72JxcstysTthNwBgUZ9FMBWa6rlEhBB9CO4YjAsZFxD7IBaL+iziphWWMRk2Xd2E75O+BwBM6TYFi/svpmmHm7GkD0fWLX3mc63u+se8ORDd3WzqWyytlZSU4OrVq1iwYAFMTP7t1mxlZYXQ0FBER0dz23bt2qXSQFDH0dFRZZu8u1FOTo5SA8DY2BguLi4oLCxEWVnVLEoPHz6EtbU13e1vwagx0MK94fMGzqefxz/P/sHH//sYnw79VN9F4my/sR2lklJ4t/LGyx1e1ndxCCF64t/WH1YiK2SXZOPak2vo79IfYqkYK/9YyQ0sfqfvO5jhPYPWEGjmLEzq9rXFTKTd4nJmImGd866PgoICMMbQunVrlX3Vt3Xq1EnrbkJyrVpVdaXNy8uDs7MzcnJyuH0VFRVo3bo12rRpA3d3d6Snp3NPBZ4+fYq2bdvW65xI00e3T5qJsrIyXLp0CT///DNu3Lih9cwUIqEIawevhVAgxMkHJ3E+/TwyMjKQlpaGjIwMnkutWUpBCo6kHAGAZnWnzxBi21xRbPmj79iaCk0xvP1wAFVdhYorizHv/DzEPoiFscAY619cj/Ae4U2yIaDv2DZnlZWVqKw0rFmC7O3tIRAIVMYHAEB2drbSz/XpJtSzZ08AQEJCAsrLy7nzt7CwQEpKCnr06AGg6smBu7s7d5zi0wNtVFZWoqKiwuDiS+qHngw0cRUVFfjoo4/w5ZdfIj8/n9ves2dPrFmzBmPHjq01D29Hb4T3CMc3Cd/go8sfYV2ndTBlphCJRHq7U7Dp2ibImAyB7QLRt3VfvZSBD/n5+dyc4nQXRrcotvwxhNgGdwzG0X+O4szDM0jKS8Kd/DswNzbH5oDNGOw+WC9l0gVDiG1zJZFIYG1qBBNjo1rXGWismQgtLS3Rr18/HDt2DFFRUVxXoeLiYpw4cUIpbX26CQ0YMACurq6Ijo5GSEgIt/38+fMoLi5GWNi/C+8JhUIIhUJIpVLIZDVPv1qdRCLh1hlQ7O5EmiZqDDRhlZWVCA0NxdmzZ1X2JSQkICwsDJ9//jneeuutWvOa6zsXF9MvIrUwFXse78Fst9l8FFkrf2b+id8f/w5jgTHe7vu23spBCDEc/Vr3g7OFM3JKc3An/w4czBywI3AHvB299V00YsDcbM0QO38AymWauws19kyEH374IYKDgzFy5EgsWrQIUqkUn332GaysrJRu6nXt2rXOeQuFQnz66aeYOnUqIiIi0K9fP6Snp+OLL75AUFAQRo0axaU9deoUQkNDMWvWLLzzzr+LeV69ehVpaWkAgOfPn4MxhpiYGABA//790b59+3qeOTFU1BhowjZu3Mg1BIyNjTF+/Hh4eXkhNjYW//vf/wAAERERGD58OLy8vGrMy0Rogo8Gf4QpJ6fgj4I/EOYdxs3g0ZikMimirkYBAF7zeg3tbZpXpdO1a1fubgrRLYotfwwhtkIjIUI6huDbxG/R1rotdgbtRDubdnorj64YQmybK/mA2I7m5gY1H/6oUaNw+PBhREZGYuLEiXBxccG8efOQmZmJPXv2NDj/KVOmQCgUYsOGDfj+++9hY2OD0aNH4/3330dFRQVMTExQVFSErKwsbvpS+VgDANi2bRu+//57pTwnTJgAAPjuu+8wY8YMGmzczAhYE1v2UCaTqTw2s7a2Nqhf9MYgkUjg4eGBx48fQyAQIC4uDkOGDAFQtaLlO++8gy1btgAA3nrrLXz++eda5bvp2iZ8l/gdnMydcPSVo7A1rfv8ww1xJOUIVv25CtYm1ogdGws7M7tGfX9CiOEqFZfizMMz8G/jb1AznxHdy8jIaFHdpsRiMXr16gV3d3ecOaO7qb5LSkpw9+5dpXGEAoFA6Wdzc3N069atxX2P0hdN17Y+v9/W+R2KioqwZMkSjBgxAk5OThAIBFi9erXatNevX0dQUBCsrKxgZ2eHsLAw3L9/X23aL774Al5eXjA1NUWHDh2wZs0aiMXiuhavxUhOTsbjx48BACNHjuQaAkDVL3pkZCSMjase/Jw7d07rfOf3mo8Oth3wtOwpPo1v3JmFSsWl+OLvLwBUzXJEDQFCiCILkQXGdBpDDQHS5M2aNQsHDhxAXFwcDh48iBEjRuDOnTtYsmSJTt/H0tISnp6eSl8oqzcEOnfuTA2BFq7On35eXh6++uorVFRUYMyYMRrT3b17FwEBAaisrMShQ4fw7bffIjk5GUOGDFFZ4GLdunVYtGgRwsLCcPr0acybNw/r16/H/Pnz635GLURpaSn3/zZt2qjst7Ozg5WVFQBwcwlrw1Roig8HfQgBBPgp9Sf8+ujXhhdWS9/d/g65ZbloY9UGk7wmNdr7EkIIIY2pqKgI7733HkaMGIFZs2ZBKpUiNjYWQUFBOn8vOzs79OzZE+7u7rCysoK5uTlsbW3RsWNHdOvWjQYAk7qPGWjfvj0KCgogEAiQm5uLb775Rm26yMhImJqa4sSJE7CxqVrIo2/fvujcuTOioqLwySefAKhqXKxduxb/+c9/sH79egBAQEAAxGIxVq5ciYiICHTv3r2+59dstW/fHkZGRpDJZIiNjUV5eblSH75Lly7h2bNnAICOHTvWKe9OFp3wWqfXsP+f/VhzeQ2OvXKM99U8n5Q8QXRiNAAgom8ETITNs3IqLi6GTCaDkZER11gjukGx5Q/Flj8UW/5IpVLu/0KhdusNNJZDhw416vuJRCK4urrC1dVVJ/kZcmxJ3dX5yYBAIKh1oJNEIsGJEycwbtw4riEAVH2BHTZsGI4ePcptO3XqFMrLyxEeHq6UR3h4OBhjOHbsWF2L2CI4OTkhNDQUAJCZmYlx48YhKSkJEokEP/30E6ZNm8alVZyDWBupqakIEAXAxdQFOaU53IBePm27sQ3l0nL0cuqFEe1H8P5++pKamork5GSkpqbquyjNDsWWPxRb/lBs+VNRUYHy8nJUVFTouyjNDsW2eeFlNqHU1FSUlZXBx8dHZZ+Pjw/Onj3L3clOTEwE8O9CGXKurq5wdHTk9tfk9u3baN++vVLDo6KiAnfv3gVQtchHu3bKs06kpKRwXW18fX2V9uXm5nL98du1awd7+3/7p0qlUq5M1tbWKnfdHzx4gOfPnwMAvL29uX77APDs2TM8fPgQAODm5gYnJyelY2/dugXGGMzNzdGlSxelfRkZGdyUY127doWZmRlWrVqF06dPo7y8HLGxsYiNjVWJTZ8+feDt7Y2bN29CJBKpPGXJysriVij09PTk7kyZGJlgdpvZWJe6DkdSjqC3RW+M6aXcLSw5ORllZWUQCAQqn/XTp0+RmZkJoKoRaGf3b/9/iUSC27dvAwBsbGxQYVuB4/8cBwC81/89PHjwgBtE06NHD6W7DgUFBUhPTwcAuLu7qyzDfvPmTQBVC6wKWvsXAAAgAElEQVR07txZaV96ejoKCgoAgBufIvf8+XM8ePAAQNUqkC4uLkrH3r59GxKJBKampiozM2VmZnJd3zp16gRLS0tuX2lpKVJSUgBAabYGuXv37qG8vBxCoZBbDEYuJycHWVlZAAAPDw/Y2v47mLuyshJ37twBANja2sLDw0Pp2NTUVBQXFwOo+t1S7A+al5eHR48eAajqYqZYLplMhoSEBACAlZUVPD09lfJNS0vjFqep/ni5sLCQm47O1dUVzs7OSscmJiZCKpXCzMxMZcq8R48eIS8vDwDQuXNnWFhYcPtKSkrwzz//AKhqBLu5uSkde/fuXVRUVKgdY5Sdnc0t7tOhQ4cWV0fIFRcXc182nZ2dVe4OJiUlcXPdq6sj5LGtPhd5eXk57t27BwBwcHBQGRSnqzqiQ4cOSsfev3+/2dQR8v7bYrEYjx49Uun22VLrCMU6QH4+EokEAGBqaqr0mUulUu5LqbGxsUq3F8YYSktLIRAIYG6uPIWoWCzmru/q+cpkMpSXlwOouvuteD0AVde//HeienkV8zUxMVH6PWeMcd131eVbUVHB3Xk3NzdXugErkUi4hb7ki44pktdZRkZGKjP+KMbQzMxM6TOvLYZlZWXcrFfVY1jTZ6MYQ3X5NrUYKuZbUwzV5SuPYUlJCarLzMxEXl6eyt+hxsJLY0D+R93BwUFln4ODAxhjKCgogKurK/Ly8mBqaqpUOSqmledVE/niF4oYY9xFJL9Iqx+jaYCyTCbT+McPgNb5Vi+TYr6Kj9gU82WMqVxA8vTV8+3duzd++uknTJgwQe3qgf3798fPP/+M7OxsjeeqmK/8XJ2dnSGVSuEsc8bwguE4k38GW+9uRVD3IFiZ/PsYW36u6p4UqctXTvGzEYvFiLoaBQaGUR6j4Ovki+SC5Eb/bBTLpOmzkUgkagdZqftsNOUrj628spRXdures6Z8Fc9VU3kbGkN1xyuWqbraYlhZWQmZTKb2kXJdYqiuvGKxGEZGRnB2dlb5kqBNvs21jqhLvjXVEXKKjR75+9SUry7qCEP5bPiqI+zt7bmGQk2fTUuvIxhjas9RcX918i+P6r4jqMtXXZra3rOuZaq+T9N7Ku6v/vuji3zrU17F/YpfzPVRJm0+Nz4+G12USd0+qVSqtk5qLLyuM1BTdyLFfdqm08TY2FglnUAg4P5gVr9o5dvU/UEFqlqD8n3qKnZt861eJsV81VV2IpEIjDG1+QqFQrX5Dh8+HAkJCdi6dSt+//13iMVidOzYEdOmTcPo0aMhFAq5BpW681XMV36u8ruG5eXlmNhmIm4U30BORQ42XtuIVQNXqZyrus9IXb5yip/Njec38FfWXxAZibCozyKVGFbH12ejWCZNn41iGk3nWlu+1e/IikQipcaBtvkqnqum8jY0hrWda3W1xdDExARSqbTBMVRXXplMBmNjY5W7qtrm25zrCG3zVfxXU77V77LX9tnooo4wlM+GrzrCycmJG9+lKV+qI2rvoqxun/wutLzhoS6NYr6a9tf0nvX9/lLbezakTNrk29DyKt7hr6ysbPQyaRMjPj6bhpZJ0z6hUKi2TmosDVpnIDc3F05OTli1apXS9KL37t2Dl5cXtm/fjnnz5ikds3jxYmzcuBGlpaUwMzPD+++/jw0bNqCkpETlEZGTkxOGDx+OH374gdtG6ww0vqvZVxF+umpMx1fDv8JAt4E6yVcik2DcT+Nwv/A+ZnjPwLv93tVJvoQQQpq2lrbOAGk5msU6A9rw9PSEubk5169QUUJCAjp16sT1w5KPFaieNjs7G7m5uSp9JEnj6+fSj5vqc/Wfq1EiVu3vVh9HUo7gfuF92Jna4T8+/9FJnoQQQgghRHu8NAaMjY0RGhqKI0eOKLVy0tPTcfHiRYSFhXHbRo0aBTMzM0RHRyvlER0dDYFAUONaBqTxRPSJgLuVOzJLMrH52uYG51dcWYztN7YDAN70fRM2Jja1HEEIIYQQQnStXo2BkydPIiYmBj///DOAqpkoYmJiEBMTw43CXrNmDUpLSxESEoKTJ0/i6NGjCA4OhqOjI95999/uIA4ODli5ciV27dqFFStWIC4uDlFRUVi9ejVmz55NawzoQVJSEm7evImkpCRum4XIAh8O+hAAcPDeQfwv638Neo/dibuRX54PDxsPvNr11Qbl1ZSoiy3RDYotfyi2/KHY8qesrAylpaV1WnizuThw4AB69eoFMzMzuLm5ISIigps9qi6SkpJgamoKgUCAq1evcttbcmybo3qNVpg7dy43/R0A/Pjjj/jxxx8BVE2b5+HhAS8vL1y6dAlLly7F+PHjYWxsjJdeeglRUVEq0+WtWLEC1tbW2L59O6KiouDi4oJly5ZhxYoVDTg1Ul+aZpnwc/XDxK4TcfDeQUT+GYkj/3cEFiILNTnULKs4C3uS9gAA3u77NkRG6gebNUc1zeBBGoZiyx+KLX8otvyRz9wieP4YKKihe6ulE2Dr3ngF49m+ffswZcoUzJ49G5s3b0ZycjKWLl2KpKQknDlzRut8pFIpZs6cCUdHR24aYLnaZushTUu9GgPyeYJr07dvX5w7d06rtAsXLsTChQvrUxyiYzXNFPF237fx26Pf8Lj4MbZe34r3B7xf5/y3/r0VFdIK9GvdD8PaDmtweZuSmmJLGoZiyx+KLX8otvwRCASApAJm/30ZKH2qOaGVMxCRCBibak7TREilUixevBgjRozA119/DQAYNmwYrK2t8frrr+PkyZN4+eWXtcpr8+bNePToEZYuXYpFixYp7attxh3StOhvHiNisGrqmmUpssTqQasx5+wc/HD3BwS1D0J/l/5a552Ym4hf7v8CAHiv33striKhbm/8odjyh2LLH4otf8zNzQEzM8CuDVCaB0B1zQTACLBxB4Qmavbx5/jx4/jggw9w7949uLu7Y9GiRSgoKMCaNWsadMf9ypUryMrKwqZNm5S2T5gwAW+88QaOHj2qVWMgJSUFkZGROHDgALeYoaLqC4+Rpo3m4yR1NtBtIMZ3GQ8AWPXnKpRJtOszyBhD1NUoAEBIxxB4O3rzVkZCCCHNUGVJ3V7iUmDoYqhvCKBq+9DFVenqkm8DnDp1CmFhYWjVqhUOHjyITz/9FPv378f333+vlE6+EFVtL8WF4eSrn1df8VskEsHLy4vbXxPGGGbPno2QkBD83//9X4POlTQN9GSA1Mu7fd/F749/R0ZRBj6//jmW+i2t9ZgLGRdw7ck1mApNuQXGCCGEEK2td9N9ngcm1/2Y1YX1frvIyEi4u7vj9OnT3OJdo0aNgoeHh1K6wMBAxMXF1Zrf9OnTuRkZ5YuMOjg4qKRzcHDQqpv39u3bkZCQgEOHDtWaljQP1Bgg9WJlYoXVA1fjzXNvYt+dfRjhMQK9nXtrTC+WirkpSad1nwYXS5fGKiohhBBiEEpKSnD16lUsWLBAaRVfKysrhIaGKk2zvmvXLpVFqNSpvjI4UPfVc+UePnyI999/H1u2bEHr1q1rfW/SPFBjgKjIysqCVCqFUCiEq6urxnSD3QdjbKexOPrPUXzwxweICY2BmbGZ2rSHkg/h4fOHcDBzwKyes/gqusHTNrak7ii2/KHY8odiW0fLM2tP8/9VVlZy/zcRiYDo0UB2IsCkgEAIuPQAZsQCjTh2raCgAIwxtV+0q2/r1KmTVuMHFFeobdWqFYCqJwTV88vPz1f7xEDR/Pnz0aNHD4wbNw7Pnj0DAG7K+OLiYhQWFsLW1lY5tiaNO96C6B6NGSAqcnJykJ2djZycnFrTvtf/PThbOOPh84fY9vc2tWkKKwrx5c0vAQDze82HpchSp+VtSuoSW1I3FFv+UGz5Q7GtIxNLrV8SI1OIBSaQGJkCplZAYGRVQwCo+jcwsmp7HfLkXvVkb28PgUCAJ0+eqOzLzs5W+jkwMBAikajW18yZM7ljevbsCQBISEhQyksikeDu3bvo0aNHjeVLTEzElStXYG9vz73mz58PoGpWovbt23P5icViSCSSugeBGBx6MkAaxMbEBqsGrsL88/Ox584eBLUPQi/nXkppvr71NQorCuFp64mwzmEaciKEEPVkMhnOnTuHAwcO4MmTJ3B0dMS4ceMQHBwMoVCo7+KRpsIzEHDrDWT+XfWvZ2CjF8HS0hL9+vXDsWPHEBUVxd1VLy4uxokTJ5TS1qeb0IABA+Dq6oro6GhMnDiR2x4TE4Pi4mKEhdX8N/jAgQMoLy9X2nbq1Cl88skn2LlzJ7y9aeKP5kjAmtiqETKZTOWXw9raWukxGWmY4uJiyGQyGBkZwcrKSqtjVvy+Aj+l/gQPGw/8GPoj110ooygDrxx7BWKZGNsDt2Nom6F8Ft3g1Se2RDsUW/7oM7aPHj3CmDFjcO3aNZV93bp1w/Hjx9G5c+dGLZMu0XWrXkZGBtq2bdugPKRSKfd/rtGYehE4uRR4+RPAUz/r3Jw6dQrBwcEYOnQoFi1aBKlUis8++wzZ2dlIT09Xmh2oPvbu3YupU6dizpw5mDRpElJSUrBkyRL0799fadGxuLg4BAYGIjIyEpGRkRrzi46ORnh4OOLj49GvXz8AGmJLtKLp2tbn91t6MkBU1OcP0pL+S3A58zLSnqdhx80deKfvOwCArde3QiwT4wXXFzDEfYiui9rk0B97/lBs+aOv2BYVFSEoKAj37t1Tu//OnTsIDAzEtWvXVFa2byrouuWP2i+pnsOABf9r/MIoGDVqFA4fPozIyEhMnDgRLi4umDdvHjIzM7Fnz54G5z9lyhQIhUJs2LAB0dHRcHBwwLRp07Bu3TqldIwxSKXSejU+qAHQvNCTAaIzlzIu4a0Lb8FIYIS9L++FlEkx9eRUCCDAj6E/oqtDV30XkRDShERFRWHx4sUAAA8PD0RFReHFF19EfHw8lixZgjt37gAAli9frvJFhzRtungy0JSIxWL06tUL7u7uSnfvSfNjiE8GqDFAdOr9397Hifsn4GnrCUuRJW7l3sLYTmPx4eAP9V00QkgT4+XlxT0VSExMVOqvnJ6eDk9PT0gkEjg7OyMrK4v+DjQjzb0xMGvWLAwfPhyurq7Izs7Gzp07ERcXhzNnziAoKEjfxSM8MsTGAHUTIirKy8vBGINAIICZmfqpQjVZ5rcMlzMvI7UwFQBgbmyOBb0X8FHMJqkhsSU1o9jyRx+xlclkXEPA19dXZeBiu3btMGTIEFy8eBE5OTkoKCjgplVsSui65Y9i9xdDaygWFRXhvffew9OnTyESidCnTx/ExsY2mYaAIceW1B01BoiKe/fuQSwWQyQSwdfXt07H2pra4oOBHyDiYgQAINw7HM4WznwUs0lqSGxJzSi2/NFHbAUCAUxMTFBZWYn8/HxukK2i3Nxc7v+mpqaNUi5do+uWP4oNLQsLC30XR0lTX93XkGNL6o6ac0TnAtsFYo7PHAS1C8J07+n6Lg4hpAkSCAQYOrRq9rGMjAzs3btXaf+JEye4udT79OlDA3EJIaSe6MkAUeHg4MCtiFlfb/V+S4claj50EVuiHsWWP/qK7fz583Hu3DkAwIwZM3Dq1CluALFi42DBgqbbFZGuW/4YGxtzd6+JblFsmxcaQEwIIcQgMcYwc+ZMREdHa0wzZswYxMTE0JfpZqa5DyAmLZchDiCmb9CEEEIMkkAgwO7du7F27VqVwcE2NjZYtmwZDh06RA0BQghpAHoyQAghxOCVl5fj/PnzyMnJgYODA4KCgmBpaanvYhGe0JMB0lwZ4pMBGjNACCHE4JmZmSE4OFjfxSCEkGaHGgNERXJyMiQSCYyNjdGlSxd9F6dZodjyh2LLH4otfyi2/KE1HPhDsW1eqDFAVJSVlXHzXhPdotjyh2LLH4otfyi2/JHJZDTjDU8ots0LdbQnKgQCAfciukWx5Q/Flj8UW/5QbAkfDhw4gF69esHMzAxubm6IiIhAcXGxVsdmZ2djwYIF6NixI8zNzdG+fXvMmjUL6enpPJea6AsNICY6JZVKERsbi99++w1isRjdu3fHxIkTYWNjo++iEUIIaSJoAHH97du3D1OmTMHs2bMxefJkJCcnY+nSpfDz88OZM2dqPLaiogI9e/ZEQUEB1qxZg+7du+PevXtYtWoVjI2NcefOHVhbWzfSmTRPNICYNGu//vorpk+fjrS0NKXt77zzDtauXYuFCxfS3S9CCCGEJ1KpFIsXL8aIESPw9ddfAwCGDRsGa2trvP766zh58iRefvlljcf/9ttvSElJwTfffINZs2YBAAICAmBjY4PJkyfj3LlzGDt2bKOcC2k8dDud6MSVK1cwcuRIlYYAABQXFyMiIgJRUVGNXzBCCCHNRqm41CBeDXX8+HH4+PjA1NQUHTt2xNatW7F69eoG3zC7cuUKsrKyEB4errR9woQJsLKywtGjR2s8Xj52xdbWVmm7nZ0dANBg4WaKngyQBmOMYcGCBSgvLwcADBo0CO+88w7s7Oywd+9ebvXQFStWYOrUqXBxcdFjaQkhhDRVA34YoO8iAAASpifU+9hTp04hLCwMQ4cOxcGDByGRSBAVFYUnT54opZNKpdCmJ7eRkRHXlSQxMREA4OPjo5RGJBLBy8uL26/J4MGD0bdvX6xevRrt27dHt27dkJycjOXLl6NPnz4ICgqqy6mSJoIaA0TF06dPIZVKIRQK4eTkVGv669ev49q1awCAHj164OLFizAxMQEABAYGwsrKCtu2bYNYLEZ0dDSWLVvGa/kNWV1jS7RHseUPxZY/FNuWJzIyEu7u7jh9+jT3t3LUqFHw8PBQShcYGIi4uLha85s+fTp30y0vLw8A4ODgoJLOwcFB7dN7RcbGxrh48SJef/11+Pn5cdsDAgJw+PBh7smBWCzm9tFMWE0fNQaIiszMTG6qO20bA3IzZ87kKje5N954A9u2bVNJ2xLVNbZEexRb/lBs+UOxrZu/Jv+lddqysjJu+ktzc3MeS6W9kpISXL16FQsWLFD6W2llZYXQ0FDuSz0A7Nq1S2VAqTqOjo4q2zR1N6qtG5JYLMbEiRORmJiIr7/+Gl27dsWDBw+wdu1aDB8+HBcuXICtrS3EYjEXW2oMNH28NQZmzJiB77//XuP+y5cv44UXXtCYrmvXrrh79y5fxSM6pFi5SKVSlf2K22gAMSGEkPqyEFlon1gM7gtrnY7jUUFBARhjaN26tcq+6ts6deqkdTchuVatWgGoekJQPb/8/Hy1TwwU7d69GydPnkR8fDz69esHABgyZAhefPFFeHp6YsuWLVi1alWtZSJNC2+NgQ8++ABvvvmmyvbQ0FCYmpqif//+3DZzc3NcuHBBKZ2htOJbovbt20Mmk2k9nZXiZ/nNN99gwYIFSoOMtm/frjZtS1TX2BLtUWz5Q7HlD8WWP9WfUhsCe3t7CAQClfEBQNX8/orq002oZ8+eAICEhAR0796dSyORSHD37l1MmjSpxrxu3LgBoVCIPn36KG3v2LEjWrVqxY05MMTYkvrjrTHg6ekJT09PpW1xcXHIzc3FypUrIRQKue1GRkZ44YUX+CoKqSP5rAHa8vX1xcCBA3H58mXcu3cPAwcOxKJFi2Bvb4+9e/ciJiYGAGBqaooZM2bwUOKmo66xJdqj2PKHYssfii1/jI0Nrye0paUl+vXrh2PHjiEqKor7Ul1cXIwTJ04opa1PN6EBAwbA1dUV0dHRmDhxIrc9JiYGxcXFCAsLqzEvNzc3SKVSxMfHY8CAfwdrJycnIy8vD23atAFgmLEl9deoi45NmzYNe/fuRWpqKjp06ACgqjuR/CLVBi06Zpj+/vtvDBkyBCUlJRrTbNu2DfPnz2/EUhFCCGmKmvOiY6dOnUJwcDCGDh2KRYsWQSqV4rPPPkN2djbS09Mhk8kalP/evXsxdepUzJkzB5MmTUJKSgqWLFmC/v37Ky06FhcXh8DAQERGRiIyMhJAVdx9fHxgaWmJlStXomvXrrh//z7Wr1+PJ0+e4Nq1a+jatWuDytfStehFxwoLCxETE4PAwECuISBXVlYGFxcXPH36FK6urhgzZgw+/PDDWvu2yd2+fRvt27dXWuW2oqKCG3Ngb2+Pdu3aKR2TkpKC0tKquYJ9fX2V9uXm5uLx48cAgHbt2sHe3p7bJ5VKucdk1tbW6Nixo9KxDx48wPPnzwEA3t7eSq3nZ8+e4eHDhwCqWt/VB4vdunULjDGYm5ujS5cuSvsyMjKQn58PoGo8hWI3nOLiYqSmpgIAnJ2d4erqqnRsUlISN0BN8bEhAGRlZSEnJwdA1dMcKysrbl95eTnu3bsHoGoWguoXb3JyMsrKyiAQCNC7d29cuHAB4eHhSEpKUkpnb2+Pzz77jFvARCKR4Pbt2wAAGxsblevh/v373C9Ejx49lJ4iFRQUcEuiu7u7qwycunnzJgDAwsICnTt3VtqXnp6OgoICAICXlxdMTU25fc+fP8eDBw8AVPXbrD796e3btyGRSGBqagovLy+lfZmZmXj69CmAqj6elpaW3L7S0lKkpKQAqOrLKb+rInfv3j2Ul5dDKBSiR48eSvtycnKQlZUFAPDw8FCa97myshJ37twBUDUfdPVZKFJTU7kGds+ePZUqk7y8PDx69AgA0KZNG66PKVBVGSUkVE2ZZ2VlpfJ0Ly0tDYWFhQCAbt26KT0qLiws5GaqcHV1hbOzs9KxiYmJkEqlMDMzU/lj8ujRI24WjM6dO8PC4t/+vSUlJfjnn38AAE5OTnBzc1M69u7du6ioqICxsTG8vb2V9mVnZ3OP4zt06EB1BPRXR1Sf6vDp06fIzMwEUNVVRvEOOdUR/2qpdYRiHSA/H4lEAqDqKbPiZy6VSlFRUQGg6o519S4sNQ0kFovF3Mw41fOVyWTclNlCoVDpegCqrn/5F/fq5VXM18TEROn3fOTIkfjhhx/w0UcfYeLEiXBxccG8efOQmZmJPXv2oKKightrZ25urjTWTiKRoLKyEkDVLD7VB++WlpYiLCwMUqkUmzZtQnR0NBwcHDBt2jSsWrWKq9PMzMzAGINUKoVMJuNi2KpVK/zxxx/YsGEDPvnkE2RlZaF169bw8/PDsmXLVOrJ2j4bxRiq+2zqG0PGGMrKyjR+Ng2NIVDVa6X6ugqK+ZqZmSn93iheh+rylV+H6m6aZmZmIi8vT218G0OjNQb279+PsrIy7guhnK+vL3x9fblKLi4uDps3b8b58+cRHx+v9IdHE4lEojLIhjHGXUTyi7T6MYpTYymSyWTcPnUtdG3zrV4mxXzVDbSVj85XNzJfKpU2KF9N56qYr/xc5fFUPE5dvvJzlf+S+fn5ITExEXFxcYiNjUV+fj46dOiA8PBwpS9whvjZKJZJUwwlEonaFnpNn031fOWxFQgEMDY25mKsaeC1pnwVz7Wun7m2MVR3vGKZqqsthpWVlZDJZEp/KNTlW5/PRiwWc+clj21d8jWU69DQ64jqaWr7bKrXEZryrR5DQ/xs+KojFN+zps+mpdcRjLEaB9Oq2yc/pqZjFfdpyqOm96xrmeRCQkIQEhICoVAIMzMziMVi9OrVC/369VMpU/XfH23e89VXX8X06dOV9lVUVChd9wEBAVx6xTUNOnXqhP/+979Kx5aWlqqUS7Fs2pSpps+otmNrOk6X+dZWXl2USd0++fcDfWm0xsDu3bvRqlUrlWWs3377baWfhw8fjt69e2P8+PH4+uuvVfarY2xsrPLLojjdlbq+bcbGxhqnwzIyMuL2qavYtc23epkU81VX2YlEIjDG1OYrFAoblK/iv5rylZ/r7du3IRaLlc5FXb7y/YrlEQgECAgIgLe3N3fXr3pr3xA/G8UyaYqhpinUavpsqucrj61IJIKvry9EIhE3x3hd8lU8V03lbWgMazvX6mqLoYmJCaRSaYNjqK688i8vN2/e5GJbl3wN5To01DpCLi0tTekpSG2fjbo6Ql15q8fQED8bvuqI+/fvK6VTly/VEVXH1jQbnbp98juxNR2vuF3T/pres65lkps3bx5eeukluLm5IT8/Hzt37sSdO3ewdevWBpeppuPqW97q+So+bVH3HYzvMmkTI12dqy7LpGmfUCjU6ziMRhkzcOvWLfj6+mLRokXYsmVLrellMhlsbGwQHByMgwcPquyjMQP8unnzptIXVqI7FFv+UGz5Q7HlD8VWPV2MGZDfzRYIBCo3pfTt1VdfxZ9//omnT59CJBKhT58+WL58OUaNGqXvomnFkGNr6FrsmIHdu3cDAGbPnq31MYwx+oKvJzY2NpBIJDRbAA8otvyh2PKHYssfii1/hEKh2m42huDQoUP6LkKDGHJsSd3xXvtUVFRg79698PPzUxn8pElMTAxKS0tpulE9qT5Yj+gOxZY/FFv+UGz5Q7HlT/VBpUR3KLbNC++NgWPHjiE/P1/tU4GHDx9i8uTJeO2119CpUycIBALExcVhy5Yt8Pb2rtOTBEIIIYQQQkjd8N4Y2L17NywtLfHaa6+p7LOxsUHr1q2xadMmPHnyBFKpFO3bt8fChQuxfPlypenXCCGEEEIIIbrFe2NAcYGL6uzt7XHkyBG+i0AIIYQQQghRg0YsERX379/nBrRVXzCJNAzFlj8UW/5QbPlDseVPRUUFN8iV+rjrFsW2eaHGAFFRVFTETXVHdItiyx+KLX8otvyh2PJHvpAWzXijexTb5oXm7iSEEEIIIaSFapRFx3SJFh3jn+Iy8epWiST1R7HlD8WWPxRb/lBs1dPFomOKX28M6Q52dHQ0wsPDAQAXL15EQECA0n7GGDp37ozU1FT4+/vj0qVLjV/IWhhqbHUtMzMTX331FcaMGYNevXrpJE9DXHSMvkETFUKhkHsR3aLY8odiyx+KLX8otvwRCATcKy0tDcuXL4e/vz8GDx6MOXPmID4+Xq/ls7a25hZlVRQXF4fU1FRYW1vroVTaUYxtc5aZmYk1a9bgxo0b+i4Kr6gxQEks1mwAABmKSURBVAghhJBma/PmzejUqRM+/vhj/Prrr/jzzz/x9ddfw8/PDzNmzIBYLNZLuSZOnIjDhw/j+fPnStt3796NgQMHol27dnopl66UlZWhiXU+abGoMUAIIYSQZik6OhrvvPOOUncsRd9//z3eeuutRi5VlUmTJgEA9u/fz20rLCzE4cOHMXPmTJX0lZWVWLt2Lby8vGBqagonJyeEh4fj6dOnSukOHjyIESNGwNXVFebm5ujWrRuWLVuGkpISpXT379/Ha6+9Bjc3N5iamqJ169YIDAxUugsuEAiwevVqlbJ4eHhgxowZ3M/R0dEQCAQ4c+YMZs6cCScnJ1hYWKCiogIAkJKSgsmTJ8PZ2Rmmpqbo1q0btm/frpTnpUuXIBAI8MMPP2Dp0qVwdXWFlZUVQkND8eTJExQVFWHOnDlwdHSEo6MjwsPDUVxcrJQHYww7duxAr169YG5uDnt7e4wfPx73799XShcQEIAePXogPj4eQ4YMgYWFBTp27IgNGzZAJpNx5enfvz8AIDw8nHsSIo+HNvFrKqgxQFQUFBQgLy8PBQUF+i5Ks0Ox5Q/Flj8UW/5QbPlTVlaGFStWcD9HRETg8ePHeP78ObZt28ZNifnVV18hNTW10ctnY2OD8ePH49tvv+W27d+/H0ZGRpg4caJSWplMhldeeQUbNmzA5MmT8csvv2DDhg04e/YsAgICUFZWxqVNSUnB6NGjsXv3bpw6dQoRERE4dOgQQkNDlfIcPXo0rl27hk8//RRnz57Fl19+id69e+PZs2dalV8mk0EikShtmzlzJkQiEfbs2YOYmBiIRCIkJSWhf//+SExMxMaNG3HixAkEBwdj4cKFWLNmjUq+y5cvR05ODqKjo7Fx40ZcunQJkyZNwrhx42Bra4v9+/djyZIl2LNnD5YvX6507BtvvIGIiAgEBQXh2LFj2LFjB27fvo1BgwbhyZMnSmmzs7Px+uuvY8qUKfjpp5/w8ssv4/3338fevXsBAH369MF3330HAFi5ciUuX76My5cvY/bs2TqJn0FhTYxUKmXPnj1TekmlUn0Xq1m5ceMGi4+PZzdu3NB3UZodii1/KLb8odjyh2KrXnp6eoPzOHz4MAPAALCQkBCV/WvXruX2r1y5ssHvp63vvvuOAWDx8fHs4sWLDABLTExkjDHWv39/NmPGDMYYY97e3szf358xxtj+/fsZAHb48GGlvOLj4xkAtmPHDrXvJZPJmFgsZnFxcQwAu3nzJmOMsdzcXAaAbdmypcayAmCrVq1S2d6uXTv2+uuvs5KSEqVzmjZtmkrakSNHsjZt2rDCwkKl7QsWLGBmZmYsPz+fMca4WISGhiqli4iIYADYwoULlbaPGTOGOTg4cD9fvnyZAWAbN25USpeRkcHMzc3ZkiVLuG3+/v4MAPvrr7+U0nbv3p2NHDmS+1ke3++++04pnbbxU0fTta3P77f0ZIAQQgghzY5i15CwsDCV/Yrb9PFkAAD8/f3h6emJb7/9FgkJCYiPj1fbRejEiROws7NDaGgoJBIJ9+rVqxdcXFyUZhy6f/8+Jk+eDBcXFwiFQohEIvj7+wMA7ty5AwBwcHCAp6cnPvvsM2zatAl///031z2mIcaNG6f0c3l5Oc6fP4+xY8fCwsJCqeyjR49GeXk5rly5onRMSEiI0s/dunUDAAQHB6tsz8/P57oKnThxAgKBAFOmTFF6HxcXF/j6+qrMyuTi4gI/Pz+lbT4+Pnj48GGt58lX/PSFFh0jKtzd3SGTyWi6Vh5QbPlDseUPxZY/FFv+WFlZcf9/9OiRyn7Fbebm5o1SpuoEAgHCw8Px+eefo7y8HF26dMGQIUNU0j158gTPnj2DiYmJ2nxyc3MBAMXFxRgyZAjMzMywdu1adOnSBRYWFsjIyEBYWBjXnUggEOD8+fP48MMP8emnn+Ldd9+Fg4MDXn/9daxbt67WmYwEAgGMjIxUFstzdXVV+jkvLw8SiQRffPEFvvjiixrLLufg4KD0s/ycNW0vLy+HlZUVnjx5AsYYWrdurfZ9qq/w3apVK5U0pqamSl2uNGlo/AwNNQaICkdHR30Xodmi2PKHYssfii1/KLb8GT58OPf/HTt2YPbs2dyX1YqKCqxdu5bbHxQU1Ojlk5sxYwYiIyOxc+dOrFu3Tm0aR0dHtGrVCqdOnVK7X/7l88KFC8jMzMSlS5e4pwEA1PZjb9++PTe1aXJyMg4dOoTVq1ejsrISO3fuBFD15Vg+CFhRXl6e2sZA9alG7e3tIRQKMXXqVMyfP19t2Tt06KB2e105OjpCIBDgt99+48aDKFK3rSG0iV9TQY0BQgghhDQ7np6eCAkJwYkTJ5CdnY1u3bphypQpsLGxwf79+5GWlgYAcHNzU9uNqLG4u7tj8eLFuHv3LqZPn642TUhICA4cOACpVIoBAwZozEv+Zbz6F99du3bVWIYuXbpg5cqVOHz4MK5fv85t9/DwwK1bt5TSXrhwQWUWH00sLCwwbNgw/P333/Dx8dH4ZEMXQkJCsGHDBjx+/BivvvqqTvKUx7G2pwWa4tdUUGOAEEIIIc3Szp07MXjwYDx8+BCFhYUq01mam5tj//79Or9rXFcbNmyocf9rr72Gffv2YfTo0Vi0aBH8/PwgEonw6NEjXLx4Ea+88grGjh2LQYMGwd7eHm+++SZWrVoFkUiEffv24ebNm0r53bp1CwsWLMCECRPQuXNnmJiY4MKFC7h16xaWLVvGpZs6dSo++OADREZGwt/fH0lJSdi2bRtsbW21PretW7fixRdfxJAhQzB37lx4eHigqKgI//zzD37++WdcuHChbsHSQL6YXHh4OK5evYqhQ4fC0tISWVlZ+P3339GzZ0/MnTu3Tnl6enrC3Nwc+/btQ7du3WBlZQU3Nzfk5uZqFb+mghoDhBBCCGmW3N3dceXKFSxZsgQHDx5EZWUlty8oKAiffPIJ+vTpo8cSakcoFOKnn37C1q1bsWfPHnz88ccwNjZGmzZt4O/vj549ewKo6gf/yy+/4N1338WUKVNgaWmJV155BQcPHlQ6TxcXF3h6emLHjh3IyMiAQCBAx44dsXHjRqV1FxYvXoznz58jOjoaUVFR8PPzw6FDh/DKK69oXfbu3bvj+vXr+Oijj7By5Urk5OTAzs4OnTt3xujRo3UXJFQ9AXnhhRewa9cu7NixAzKZDG5ubhg8eLDKYGFtWFhY4Ntvv8WaNWswYsQIiMVirFq1CvPmzdMqfk2FgLGmtTycTCZDUVGR0jZra2safKVDN2/ehFgshkgkgq+vr76L06xQbPlDseUPxZY/FFv1MjIy0LZt2wblUVpaCsYYBAIBLCwskJubi6tXr0IikaB79+4qA0qJ9qrHlmhP07Wtz++39GSAEEIIIc2eo6MjRo0ape9iEGJwqDFAVMjnAjY2pstD1yi2/KHY8odiyx+KLX+MjIy4u9dEtyi2zQt1EyKEEEKIQdFFNyFCDJEhdhOib9CEEEIIIYS0UNQYIIQQQgghpIWixgAhhBBCDE4T68VMSK0M9ZqmEUtERXp6OjegrV27dvouTrNCseUPxZY/FFv+UGzVMzU1RVlZWYOmrayoqFDKj+gOxbZ+ysrKDDJe9GSAqCgoKEB+fj4KCgr0XZRmh2LLH4otfyi2/KHYqteqVSvk5uZCLBbXOw+pVAqJRAKpVKrDkhGAYlsfYrEYubm5aNWqlb6LooKeDBBCCCHEoAiFQjg5OSEnJwcymaxeeRQVFXHTX1pbW+u4hC0bxbbujIyM4OTkBKFQqO+iqKCpRYmKiooK7pfcEB9nNWUUW/5QbPlDseUPxZY/FFv+UGx1j1YgJgaFfrH5Q7HlD8WWPxRb/lBs+UOx5Q/Ftnnhrblx6dIlCAQCta8rV64opT137hwGDhwICwsLODo6YsaMGcjJyeGraIQQQgghhBA0wpOB9evXY9iwYUrbevTowf0/Li4OL7/8MoKDg3H8+HHk5ORg6dKlCAwMxNWrV6n1SQghhBBCCE94bwx07twZL7zwgsb9ixcvRpcuXRATEwNj46ridOjQAYMHD8a3336LuXPnKqVXN8ShvoOLiHqKfdZoYJBuUWz5Q7HlD8WWPxRb/lBs+UOx1T1132Uba1ivXscMPH78GPHx8fj444+5hgAADBo0CF26dMHRo0e1agyUlJTwXtaWqvpgFqI7FFv+UGz5Q7HlD8WWPxRb/lBs+dNYjQHehyjPnz8fxsbGsLGxwciRI/H7779z+xITEwEAPj4+Ksf5+Phw+wkhhBBCCCG6x1tjwNbWFosWLcKuXbtw8eJFbN26FRkZGQgICMDp06cBAHl5eQAABwcHleMdHBy4/YQQQgghhBDd462bUO/evdG7d2/u5yFDhmDs2LHo2bMnlixZgpEjR3L7BAKB2jw0bSeEEEIIIYQ0XKOOGbCzs0NISAh27tyJsrIybklmdU8A8vPz1T4xMDIygqWlpdI2+ZSlhBBCCCGENDWMMZUxAo21oG6jDyCWn6hAIOCmGE1ISMDo0aOV0iUkJChNQSpnZGREqw0TQgghhBCiA436rbqgoAAnTpxAr169YGZmBnd3d/j5+WHv3r2QSqVcuitXruDevXsICwtrzOIRQgghhBDSoggYT/MWTZ48Ge3atUO/fv3g6OiIlJQUbNy4EampqTh58iSCgoIAVK1UPHz4cISGhmLevHnIycnBsmXLYGtrS4uOEUIIIYQQwiPengz4+Pjg9OnTmD17NoKCgrBixQp0794df/75J4yMjDBz5kx4eXkhODgYNjY2uHTpEkJCQvDWW29h2LBhOH/+PExNTXH9+nUEBQXBysoKdnZ2CAsLw/3797Uux7lz5zBw4EBYWFjA0dERM2bMQE5ODl+nrXcXLlzgYmtpaQl3d3e88soruHbtGpdGKpVi06ZNGDVqFNq0aQMLCwt069YNy5Ytw7Nnz7R6n4CAAG6shuJr1KhRfJ2a3mkTWwCYMWOG2th4eXlp/V4HDhzgnqC5ubkhIiICxcXFuj4lg6FtbNXFtS7xbYnX7Y0bNxAcHIx27drB3NwcDg4OGDhwIPbu3auSlurbutMmvlTn1o+21y7VuXWnbWypzm24b775BgKBAFZWVir7DKXO5W3MwLJly7Bs2TK1+yZMmIC8vDwsWrQI3bt3x9OnT7Fx40ZcvXoVP/74I1566SUAwN27dxEQEIBevXrh0KFDKC8vR2RkJIYMGYIbN27AycmpxjLExcXh5ZdfRnBwMI4fP46cnBwsXboUgYGBzfapw5dffqk2ti+88AJOnz6Nl156CWVlZVi9ejUmTZqE2bNnw9HREdevX8fatWvx888/4+rVqzA3N6/1vTp27Ih9+/YpbbOzs+Pr1PROm9jKmZub48KFC0rHaxNTANi3bx+mTJmC2bNnY/PmzUhOTsbSpUuRlJSEM2fO6PScDIW2sb18+bLKsX/99RciIiIwduxYrd6rpV23z549Q9u2bTFp0iS4u7ujpKQE+/btw9SpU5GWloaVK1cCoPq2vrSJL9W59aPttQtQnVtX2saW6tyGefz4Md577z24ubmhsLBQaZ9B1blMD548eaKyraioiLVu3ZoFBgZy2yZMmMAcHR1ZYWEhty0tLY2JRCK2ZMmSWt+nf//+rHv37kwsFnPb/vjjDwaA7dixo4FnYZi0ia1EImG5ubkq6X788UcGgO3Zs6fW9/H392fe3t4NL3ATou11O336dGZpaVmv95BIJMzV1ZWNGDFCafu+ffsYABYbG1uvfA2dtrFVZ8aMGUwgELCUlJRa36clXreaDBgwgLVt25b7mepb3VKML9W5ulX92qU6V3eqx1YdqnO1FxISwkJDQ9Veo4ZU5+plWh5nZ2eVbVZWVujevTsyMjIAABKJBCdOnMC4ceNgY2PDpWvfvj2GDRuGo0eP1vgejx8/Rnx8PKZOnQpj438fgAwaNAhdunSp9fimSpvYCoVCblpXRX5+fgDApSPKtIltQ125cgVZWVkIDw9X2j5hwgRYWVm16OtWnaKiIvz444/w9/dHp06d+Cxis+Po6MjVjVTf6p5ifKnO1S3F2DZUS61zNakttlTnam/v3r2Ii4vDjh07VPYZWp1rMHN0FhYW4vr16/D29gYApKamoqysDD4+PippfXx88M8//6C8vFxjfomJiVxadcfL97cE1WOrifwRa23p5FJTU+Hg4ABjY2N4enpixYoVKCsra3B5mxJNsS0rK4OLiwuEQiHatGmDBQsWID8/v9b8NF23IpEIXl5edN1Wc+DAAZSUlGD27Nla59tSr1uZTAaJRIKnT59ix44dOH36NJYuXQqA6ltdqCm+mlCdqx1tYkt1bv3U9bqlOlc7OTk5iIiIwIYNG9CmTRuV/YZW5zb6OgOazJ8/HyUlJVixYgWAfxciU7fwmIODAxhjKCgogKurq9r8ajte3UJnzVX12Krz+PFjLFu2DP369UNISEiteb744ouYOHEivLy8UFZWhpMnT+LTTz/F77//josXL7aYtSDUxdbX1xe+vr7cOhlxcXHYvHkzzp8/j/j4eLWDiORqu27T0tJ0ewIGTJvrdvfu3bCzs8O4ceO0yrMlX7fz5s3Drl27AAAmJib4/PPP8cYbbwCg+lYXaoqvOlTnaq+22FKdW391vW6pztXOvHnz0LVrV8ydO1ftfoOrc+vUqYgnK1euZADYF198wW2T93s6cOCASvr169czACwrK0tjnvL+fleuXFHZN2fOHGZqaqqbwhs4dbGtLi8vj/n4+DBnZ2eWmppa7/eKiopiANiRI0fqnUdTok1s5WJiYhgAtmnTphrTrVu3jgFg2dnZKvtGjBjBunbtWu/yNiXaxDYxMZEBYPPnz2/Qe7WU6/bhw4csPj6e/fLLL+zNN99kRkZG7LPPPmOMUX2rCzXFtzqqc+umLrGVozpXO3WJLdW52omJiWEmJibs9u3b3LbqYwYMrc7Ve2Ng9erVDABbt26d0va7d+8yAGz79u0qx7z33ntMIBCwsrIyjfmeOnWKAWC//PKLyr7x48czV1fXhhfewGmKraL8/HzWp08f1qpVK3bz5s0GvV92djYDoNXAl6ZOm9gqkkqlzNLSkr366qs1ptu5cycDoFSJyPXr148NHDiwXuVtSrSN7dtvv80AsL///rtB79eSrltFb775JjM2NmY5OTlU3/JAMb6KqM5tOE2xVUR1bv3UFFuqc2snn/ji3XffZQUFBdxr0qRJzNLSkhUUFLDi4mKDq3P1+nxmzZo1WL16NVavXo3ly5cr7fP09IS5uTkSEhJUjktISECnTp1gZmamMW/540JNx8v3N1c1xVauoKAAQUFBePDgAc6ePau271l9NNfHfnLaxFYdxlitsenZsycA1etWIpHg7t27dN3+f5WVldizZw/69u2LXr166eS9m/t1W52fnx8kEgnu379P9S0PFOMrR3WubqiLrTpU59adpthSnaud3NxcPHnyBBs3boS9vT332r9/P0pKSmBvb4/XX3/d8OrcOjUddOjDDz9kANjKlSs1pnn11VeZs7Mze/78Obft4cOHzMTEhC1durTW9/Dz82M9evRgEomE23b58mUGgH355ZcNOwEDpk1s5Xen7OzsWHx8vE7e95NPPmEA2LFjx3SSnyHSJrbqHDx4kAFgW7ZsqTGdfJq7UaNGKW3fv38/A8BOnjxZ5zI3FXWJrXxKRl1MWdkSrlt1pk6dyoyMjLg7gFTf6lb1+FKdqzvVY6sO1bn1oym2VOdqp6ysjF28eFHlNXLkSGZmZsYuXrzIEhISGGOGVefqpTEg7y82atQodvnyZZWX3J07d5iVlRUbOnQoi42NZUeOHGE9evRgbm5uKheqUChkL730ktK2ixcvMmNjYzZ27Fh29uxZtm/fPta2bVvWo0cPVl5e3ijn2ti0iW1paSnr378/EwgEbOvWrSpp/vnnH6U8q8f2119/ZSNHjmQ7d+5kZ86cYT/99BObO3cul04qlTbqOTcWbWKblpbGBg0axD7//HMWGxvLTp48yZYtW8bMzMyYt7c3Ky4u5vJLS0tjQqGQzZw5U+l99uzZwwCwOXPmsIsXL7KvvvqK2dnZseHDhzfq+TYmbesEuVGjRjFzc3P27NkzjXnSdVvlP//5D3v33XfZwYMH2aVLl1hMTAybOHEiA8AWL17MpaP6tn60iS/VufWjTWypzq0fbesFOapzG0bdOgOGVOfqpTHg7+/PAGh8Kbp69SoLDAxkFhYWzMbGho0ZM0al4mSMMQDM399fZfuZM2fYCy+8wMzMzJiDgwObNm2a2gWOmgttYvvgwYMa00yfPl0pz+qxTUlJYaNHj2bu7u7M1NSUmZmZsZ49e7J169Y16z/62sQ2Pz+fjR07lnl4eDBzc3NmYmLCOnfuzJYsWaJSico/h+rxZoyxH374gfn4+DATExPm4uLCFi5cyIqKihrjNPWiLnVCeno6MzIyYtOmTasxT7puq3z77bdsyJAhzNHRkRkbGzM7Ozvm7++vdqErqm/rTpv4Up1bP9rElurc+qlLvUB1bsNpWhjPUOpcwf9/E0IIIYQQQkgL0/xGbxBCCCGEEEK0Qo0BQgghhBBCWihqDBBCCCGEENJCUWOAEEIIIYSQFooaA4QQQgghhLRQ1BgghBBCCCGkhaLGACGEEEIIIS0UNQYIIYQQQghpoagxQAghhBBCSAtFjQFCCCGEEEJaKGoMEEIIIYQQ0kL9P4tSyrZf8TqDAAAAAElFTkSuQmCC\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "np.random.seed(100)\n", "zs = gen_data(x0=5., dx=5., count=50, noise_factor=50)\n", "data1 = g_h_filter(data=zs, x0=0., dx=5., dt=1., g=0.1, h=0.01)\n", "data2 = g_h_filter(data=zs, x0=0., dx=5., dt=1., g=0.4, h=0.01)\n", "data3 = g_h_filter(data=zs, x0=0., dx=5., dt=1., g=0.8, h=0.01)\n", "\n", "with book_plots.figsize(y=4):\n", " book_plots.plot_measurements(zs, color='k')\n", " book_plots.plot_filter(data1, label='g=0.1', marker='s', c='C0')\n", " book_plots.plot_filter(data2, label='g=0.4', marker='v', c='C1')\n", " book_plots.plot_filter(data3, label='g=0.8', c='C2')\n", " plt.legend(loc=4)\n", " book_plots.set_limits([20, 40], [50, 250])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "It is clear that as $g$ is larger we more closely follow the measurement instead of the prediction. When $g=0.8$ we follow the signal almost exactly, and reject almost none of the noise. One might naively conclude that $g$ should always be very small to maximize noise rejection. However, that means that we are mostly ignoring the measurements in favor of our prediction. What happens when the signal changes not due to noise, but an actual state change? Let's have a look. I will create data that has $\\dot{x}=1$ for 9 steps before changing to $\\dot{x}=0$. " ] }, { "cell_type": "code", "execution_count": 34, "metadata": { "scrolled": false }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "zs = [5, 6, 7, 8, 9, 10, 11, 12, 13, 14]\n", "for i in range(50):\n", " zs.append(14)\n", "\n", "data1 = g_h_filter(data=zs, x0=4., dx=1., dt=1., g=0.1, h=0.01)\n", "data2 = g_h_filter(data=zs, x0=4., dx=1., dt=1., g=0.5, h=0.01)\n", "data3 = g_h_filter(data=zs, x0=4., dx=1., dt=1., g=0.9, h=0.01)\n", "\n", "book_plots.plot_measurements(zs)\n", "book_plots.plot_filter(data1, label='g=0.1', marker='s', c='C0')\n", "book_plots.plot_filter(data2, label='g=0.5', marker='v', c='C1')\n", "book_plots.plot_filter(data3, label='g=0.9', c='C3')\n", "plt.legend(loc=4)\n", "plt.ylim([6, 20]);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here we can see the effects of ignoring the signal. We not only filter out noise, but legitimate changes in the signal as well. \n", "\n", "Maybe we need a 'Goldilocks' filter, where $g$ is not too large, not too small, but just right? Well, not exactly. As alluded to earlier, different filters choose $g$ and $h$ in different ways depending on the mathematical properties of the problem. For example, the Benedict-Bordner filter was invented to minimize the transient error in this example, where $\\dot{x}$ makes a step jump. We will not discuss this filter in this book, but here are two plots chosen with different allowable pairs of $g$ and $h$. This filter design minimizes transient errors for step jumps in $\\dot{x}$ at the cost of not being optimal for other types of changes in $\\dot{x}$." ] }, { "cell_type": "code", "execution_count": 35, "metadata": { "scrolled": false }, "outputs": [ { "data": { "image/png": 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KISk2jOS4MHrHhDKabQzb+wZ9Di8hyOYBzBFwNht4DBubjP781nUvYOOjG09lZFI0FR4vJeUeiivclFR4KC43H80fN8Xl/o8lFZXbHrVPqctDcbmHojIXZY0k0wCPLN7q+91pt9EzOpTEmFASY8PMx5hQEmMqf48NpUdECPYmJJ2B7h0WafcCPeS2DSmhFBEREWnAgx/WP0NjsNNOcmwYSbGhlY9hJFf9xIXRKyaUEKcDXKWw6V1Y/UL17T1ssMY7lDWeYdwW9AEADpvBE67LzJWVbDYbIU4HIU4HcRGtc3+6TQfzOf+ZFY1uN7RXJAWlbg4XlOH2Gr7eV/bm1rl9kMNMOpNizHNPjA0lMdpMQKuWdY8I1jWcImDdkNtWpoSyGdavX++bVnr06NFWV0e6CMWdWEFxJ1Zo67hr6q24B/SIYGBCpF+iWJU4do8IbrhHLm8/fDcXfngNSo+Yy5yhHBk4las3jGKLkQIY/NyxkdH23az3DmCZt57bFVjgicuOJzU5BrfHS1ZROel5ZWTkl3Iov4z0vDIOFZT6lmUWluPyGBzILeVAbmm9ZQY77HRrpcS4pWoOt92+fTtutxun08mQIeYEKhpuK22hs/yvVUIpIiIiXUpxuZv31h3kha93NWn7p68YQ2pyTNMPYBiQttzsjdz2MRiVPXExfeGk6+GE31JaEcauzV+B2wvYeMz9K2Y7X+Mx96+o6p0McdpbrUfyWDkd9sqhrWFA3fdqdHm8ZBaWcyi/OsnMyC8jI6+MjIIyMvJKySoqp8Lj5VBB0yYFmv3/NjG0VzTJcWF+PcAJUSE4HS2blbXB4bafmhMhabitSNMpoWyG8PBw3zdYIm1FcSdWUNyJFQIdd/tySnjt2zTeXrufwjJ36x+gohg2vA1rXoTMLdXL+58G426EoeeA3QFAcjgsnTmpxqQ0p1LOzdxbo7hA9pLFRQQT4rQ3eg1jcxLaIIfd14t7Yr+6t6lwe8ksLGPlzmz+9O7GRstcuzePtXvzai132G30ig6tHm5c2WucFBtG78rHiJC640jDbaW96Cz/azt27dvY4MGDra6CdEGKO7GC4k6sEIi4MwyDlTtzePWbNJZsPeybRKd/jwjOHJ7AnOV7jv0gR/aYw1rXzYeyfHNZUDiM/jWMmwEJw+vcrSr5skJybNhRCW1tgUhog512eseFMzKpaT2+t08eBDaqJ0PKKyUj76jrOesRGx5EUkxlkhlnJp5JsWGUuTytdTotphluBTrP/1ollCIiItLplFS4ee+Hg8z7Jo0dmUW+5ROHxHPtz1KYODiejIIy5n27t2W9dF4v7P4S1syB7Z8ClZlqXH8YdwMcfxWExbbyWbUuKxPapjo7tVet4cYer0F2UTkHatyqJb3yp2pZQZmbvBIXeSUutmQUtOjYGfmlDIyPJCzY0Rqn4qMZbqWzUUIpIiIincb+I5XDWr/bT0HlsNaIYAeXntib305IYWB8pG/bFvXSlRXA+jfNYa05O6qXD5wC42+EQWeCvWXX9knTOCpvX9IzOpQT+9V9PWdhmYv0vDIzyayRcB7MLSUtp5jsosbv5XnDa98DEBXiJD46hISoEBKiQs3H6BDiaz6PCiU6zImtCbd+0JBb6WyUUIqIiIjl0tLS+PrrrykvL2fw4MFMnDgRexMTM8Mw+HZXDq98k8YXP1UPa+3XPZxrTknh0rG9iQ4NqnPfZFsOiWTx44/r2LMnjaCgIMaMGUOf3r3NDWzxQDJk7zB7I398EyoKzXXBUTDmKjhpOvRo+dC1goICPv30U3JyckhISODss88mIiKixeU117Zt2/jmm29wu92kpqZy8sknNykxOhaBuIazpqjQIIb2CmJor6ha65p6y5Rgp40Kt0FhuZvCLDe7s4ob3D7Eaa9MMisTzRpJaM2E1ONt2uzCgXQwr5TMvGJWrV5N5uHDhIeHc/LJJxMXZybobTHkNj09naVLl1JcXExKSgpTpkxps2sJDcNg9erVbNy4EYfDwSmnnMLw4XUPTQ+EkpISPv30Uw4fPky3bt0466yziI1t3yMaGtLsd62wsJCHHnqIH3/8kXXr1pGdnc2sWbOYPXt2rW1dLhfPPPMMr7zyCjt37iQkJIQRI0bw+OOPM2HChNaof5vat2+f78LZvn37Wl0d6SIUd2IFxZ20lYMHD3LLLbfw4Ycf+t3GY+DAgTz66KNccskl9e5bUuHmf+vSefWbPWw/XD2s9bQh8Vw7oR+ThiQ0fEsPdzllz5xCqLuAE4ATqpZn1NgmNAaSxsDur6qX9RhiXhs5+tcQUjthaaqKigruv/9+/v3vf1NcXJ2sxMTEcMcddzBr1iwcjtYdblnT9u3bueWWW1iyZInf8tTUVJ566inOOOOMgB07OTaM2/of4fFn/s2hQ4d8y+12O1OmTOFPf/oTA3r3tLSH7t2bJtCvRwSZBeVkFZaTWVhW+VhOZkGZ+Vj5e0GZm3K3t9FbpgA0FJI17ckupltEMLHhQYQFOVotyT+QW8LER5fgoeoLm54APLdzs2+bQA653bQnnftmP8znn3+O11v9hUJCQgI333wz11xxaUDf96+++oo777yTDRs2+C2fNGkSzz//fEATS4/Hw8MPP8xTTz1FXl71ZFNhYWHcdNNNPPLII4SEhATs+IFiM5p6E6ZKaWlpHH/88YwePZohQ4Ywd+7cOhNKj8fDhRdeyIoVK7j77ruZMGECxcXFfP/995xyyimceeaZvm29Xi+FhYV++0dFRTX5m8m20lnuFSMdi+JOrKC4k7Zw8OBBJkyYwL59++rdZu7cuVx//fV+y/YfKWHBqr289d1+8ktdAIRXDWs9JYVBCZF1FVXL6wsWMPjrmzgx0Y6jjk/5hgHVn+FtMOQXMH4GDJhcc0WLuN1uLrroIj766KN6t7niiit4/fXXA9JbuHXrVk499VRycnLqXO9wOHjvvff45S9/2erHBnjqqae466676l0/ZMgQVq5cSY8ePVr92Gt3Z3LpnO8a3e6j209t8u1iylweX9KZWVCZaPr9Xk5WYRk5xRU075O3KchhIyYsmJgwJzFhQcSGBxMTFuT3Exvu/3t05e8hTv8vJWbc8xCfVX990irn31Rb9h7i3GdXgaPuEQMADrwsu+eMgCSVixcv5qKrrsMIrnsEQFRUFAtff5XJ41r//55hGEybNo0F732MIzy6zm1OOeUU5s15jn7xda9vCy3Jy5rdQ9mvXz9yc3Ox2WxkZ2czd+7cOrd75plnWLx4MStXruTkk0/2LT/vvPOae0gRERHphO666y4O5pYS3HMg3bp1Y9KkSURFR7Fm9Rp++uknAG6/Zxbnn38+CQkJfLs7h3nfpPH5lsNUjRrs2y2cayakcFkDw1rrcuTIEWbceCOnJpbz6dV1f7i02aDUYyfs1FvMYa3d+h/zOVeZN2+eL5kMCgpi2rRpnHTSSaxcuZL58+fj8Xh48803ueSSSxrspW2pG2+80ZdM9uvXjxkzZhAVFcVrr73G2rVr8Xg8TJs2jf379xMeHt6qx969ezd//OMffc9/8YtfMHXqVPbu3csLL7zAkSNH2L59O/fffz8vvPBCqx4b4N3XX8XrHozdWf9wWq+7gp1b1pOafFqTygwNctCnWzh9ujX8WlW43IyccjGuCTc2WmZMqJPiCg9ur4HLY05ElF1U3qT61BQW5PAlmnZPGT/sdRJWz21datqbU0xMWBBhwQ7Cgx2EOh0N9/g3wSNPPgNhDY9S9GBn3ebtJP+sdZO6srIypt16FwnXPd/gez9tYRorhwxp9YT2ww8/ZMF7H5M044V6j58GnP7EMpbdM6VDXT/b7ISyqd+S/etf/+K0007zSyY7umHDhmEYRsCvKxCpSXEnVlDcSaBlZGTwwefL/D5cfVu1cvwJJI43fzXcFdz+/Ifkxw5h2+Hqb81/PrgH105IYdLQhDp7Fxvz2muvUVJSwme7YE9ZNCmhhdio7joyDEjL83LcfwrZPH0G/bo14RN4Mzz33HO+3z/44APOOeccAKZPn87ZZ5/NFVdcAcCzzz7b6gnlpk2bWLZsGQADBgzghx9+ICbG7Im65ZZbuPDCC1m0aBFHjhzh7bffZtq0aa16/Dlz5uDxmLfu+P3vf8+TTz7pWzdjxgxSU1MpLi5mwYIFPPbYY766tQaPx8P8F57mUEEFjogY5r/2GoMGDfK1d++88w5PPPEEnpIC3j44halnNi2hbKrly75m3/YtJDbhyq9bRniYcdk5lFR4yCt1kV/iIq+0goJSF/ml5gy2+VW/l7ooOGpZQZkLw4BSl4dSl4dDBWUAhPUb1aS63vrGulrLQpx2woMdhAU5CK1MNMOCHIQFOwkLstf43UFYsJ3wYCehQeZ2No+LT77fRcSpjZ/8wnff47wJo1r1f9C7775LbomLxAaSSQAcTr79fgOXThnfascGeP7553GERzeYzAJ4sHW4CZkCcuXr/v37SUtL44ILLuC+++7jpZdeIicnh6FDh3L33XdzzTXXNFrG5s2b6devH9HR1V2+5eXlbN26FYC4uLha1/Xs2LGDkpISgFpDtLKzszl48CAAffv29V10DGbjsmnTJsDs0h0wYIDfvnv27KGgwJxyeuTIkX4XDOfl5bF3714AkpKSiI+P99t3w4YNGIZBWFgYQ4YMqfU6HTlyBIChQ4cSGhrqW1dUVMSuXbsAc0x5YmKi375btmzxDUcbMWKE37qMjAwyMzMB8xqUyMjqoT9lZWVs27YNgG7dutGnTx+/fbdv305paSk2m41Ro/wbnKysLNLT0wHz28yaFw+73W42bzbH3kdHR9O/v/+3uLt37/Z1n6empvpdE5Kbm+sb7pScnFxreMv69esB8+avR9+vZ9++feTm5gLmB+Ca484LCgrYs8e8v1jPnj3p1auX376bN2/G7XYTEhLCsGHD/Nalp6eTlZUFwKBBg/wmRygpKWHHDnNmv+7du9O7auKGStu2baOsrAyHw0FqaqrfuszMTDIyzItzUlJS/P5JVlRU+L6Rj4mJISUlBcB3Trt27aKoyLxG6LjjjvMbepCTk8OBAwcA6N27N927d/et83q9bNxo3jw6MjKSgQMH+tUpLS2N/HzzvmnDhw8nOLi6ocvPzyctLQ2AxMREEhIS/PbdtGkTHo+H0NBQhg4d6rfuwIEDvm+/Bw8e7PcNd3FxMTt37gQgPj6epKQkv323bt1KeXk5TqeTkSNH+q07dOgQhw8fBqB///5qI1Ab0dXbiCodrY1YtGgRRnBEox+ubM5g1pQnwuFCwoIcXHJiMj/vZdArzMDpzcZh7+m3fVPbiE8++QSAq44Lok+UF5vLfxyizQY3LSqluMLgm2++ISIiotXaiLKyMtatW+d7npSUxPr1631txK9+9Svuuece9u7dy4oVK/jxxx8JDw9vtTZixYrqCWkuvvhivzhzOBxcd911LFq0CIClS5f6JZSt0UYsXrzYt+yee+4B/NuI8847j//+97+UlJTwww8/MHny5FZrI+x2u+99nHLKGE4emkxurtluDRs2jJF3XMezD/2JwsJCli1b5tu3tdqI5cuX01RLly7lxsvPJSLESUSIk+TYMLONKMokMRhShjTcRvTt24/CMndlwlnBT7v2MfPeP1PojCF2wq8aPX5EkA0PNspc1dc5lru95gy0uJp8Hn5lnvqbJm33dfA4+t/7MQ6bOatviNNBkNOO024jyGHHbjMwPG4cNhuhwU7CQkMIcthw2u04HTbKS0uw4SXIYad7XCxOu53Va/OJHt+0L2f+89mP7Cpy0r2b+Xdut9mw2SA7Owu3y4UN6NOnNzZs2G3m+qKiIvLzcsEG8T16EBUZ4dsXw2DVwXJC+jYtmS8oKIDK4cZWfY5ojoAklFV/qPPmzaN37948++yzxMTE8OKLL3LttddSUVHBDTfc0GAZbreboy/vNAwDl8vlW1/XPlXrj+b1en3ral4AXKWp5R5dp5rlVn3bdnS5hmEQFFR7GI7H4zmmcus715rlHn2uNV/DusqtOte6vhFqarnt5b1p7FxdLhdut7vOMeENvTdNKdflctW5rqFyq/ZtrNy6NPU1rGv/mnU6WmPnWlFRgdfrrXPSiNZ4Det6jZpabnscU4esAAAgAElEQVSJQ7URtcttL++N2oja5bZlG1FR0fhtG6o4Kgq596JxXDa2DzFhQWzcuJHy8opjaiN6OQtY8ttwTu/vBFcROEIwPBXYMDCwc9jei892mcmny+Vq1TisuU1MTEyt19BmsxEbG8vevXtxu92Ul5f7JfJNOdeG2oia72ddw1mjoqonGjr6fWqNNqLm8asS/prl1jx+zde1NdqImvWKjY2t9d6EhIQQHh5OYWGhX11bq41wuVx4SgrwuisaHXLrLSustbw5bYTdbiMmPIiY8CD6Ek5w0SEqdq2i1BbVpITyb1MSuGjSWNxuD6vW/kC5x8ARHEZy3xRKXR5KKsyezz37DnKkoIhyt0G3hF64vDazV7TCQ35RCVm5BZS5DfKLS9i0Yy8hPQc0emzf+Rrg8RhUeNxQ72hfF9DAREh7zS+SCelHxPCmjTTYaevNzm8PAYfq32htXv3ryK21JPa8mU06Nvi3I1Z9jmiOgCSUVX/MZWVlfPzxx/TrZ755Z555JmPHjuWvf/1rowml01n7Xj42m833YtU1rbDT6azzxQRz1rCqdXX94Te13KPrVLPcuv5hBgUFYRhGneU6HI5jKrfmY33lHn2uNV/DusqtOte6/hE0tdz28t40dq5V59nYa9iScj0eT53rGiq3at+Gyj3W17Cxcz1aY+caHByMx+MJyGvo9Xqb/XfTHuNQbUTtctvLe6M2ona5bdlGHP1NekMmeDYy/ee/9qtvS9uIYJuHntvmM/fEn3DanJS6DFaHTmTS5bdie9P8kG3Dy9++qf7wNXz48FaNw5iYGBITE8nIyGD16tVkZmaSnJzsew03bNjg6xlLSUkhNDS0VduImrNYLl68mNmzZ/vt//777/t+P7rnrTXaiIEDB/p60t544w2uu+46X7kVFRW+3mPA17PdWm1EcnIy4eHhlJSUsHjxYu677z6/13DJkiW+Hu6hQ4e2ehsxfPhwPIVZpM+5kVPP+AV/fuABevas7mX/81/+wseLFuEpKWDUH29vcrlHn2t99R04cCDf786sta4uiZWjh+x2G1FhwUQBkZHhDOzpP7Nx/5AS8vPtleeXUu8oBpvNxkln/4HEa/6v0WMPz/iMR+//HVk5R/B4oXfffjiDQ3B5vLg9BoXFJezdfwC31yAyKpro2G64PV5cXgO3x8v+g+mUVbgwsNMjoScuj8FXy5bxxTffE3X8OY0ef0BoMYP7JhMeEYHXMDAM8BoGBYWFuN0eDAOioqMxMBM1rwHl5RWUlpXiNSA0NBSH0+nbz+s1+G7tWso8ENJzYKPHr9nzbNXniOZo9iyvNWVnZxMfH19rltdt27YxbNgwRo0a5WsQq9x333088sgjHD582Dc0pqPM8lpQUOAbY19zCI1IICnuxAqKO2kLJ54xlZyxDX/BDPDUL3py0aSxx37AbZ/A4j9Cnjk88qPtLm5fXMbBYicP3H8/d3f7hNCcLewoiWLIP83RVqNGjeLHH39s9euJ//KXv/DQQw8B5mUBjzzyCOPGjWPFihXcc889viGcjz/+OH/4wx9a9dgej4fBgwf7hnz/+te/ZubMmURGRjJv3jweffRRX8/yvn37al2WcKyWL1/OaaeZ1yZGRETw0EMP+Sbl+etf/8qXX34JwFlnncWnn37aqscG8zrNF198EYDjjz+e+++/n2HDhvHVV1/x4IMPkp2dDcCCBQu46qqrWvXYJSUlJCcn+24ZceONN3Lrrbdis9n4z3/+47u2NioqivT0dL9LElrDwoULufr2e0m89l+NbhuIWV7PuPw6dg5ofNjpX8YHc91FZza6XXMcPnyYASdOJP7qJxrd9n+3nMLxfbu16vGfeeYZZj78L8te+6ZqSV4WkITS7XYTExPDoEGDaiWU9957L//4xz/IysryjXHvKAmlptEXKyjuxAqKO2kL8z/6ij+vaPhm8dAKH67y9sMn98DWylt0RCfDOY9x23OLee65532bTenv4OlzQrljcRlL9pi9yJ988klA7seYk5PD2LFjfb03dRk+fDhr1qxp9aQCzF7Iiy++uMFt7rvvPh5++OFWP7ZhGFx22WW8++679W4TFhbGihUrOOGExm9v0Vx79+7lpJNO8l3jWJcJEybw1Vdf1dsreixeeOEFbrrppga3efrpp7n99to9lMfK7XYz8Zyp7B99fYNDboMdNr784+RWnxjm/a+/5/eLGxhGWunD237Gcb1jG92uuW6f9U8+LB/R6HaBSOhKSko46ayLKT618fe1oyWUAcnYnE4nF154IT/99JNfQ2kYBp988gkDBw4MyH2FREREpOPo0W9o4xsdC48LVv4LnhtvJpN2J0y4A25dA8PP5//+71/cfvvtvt7HJXs8jHy+mCV7PMTGxvLOO+8EJJkEc8KmpUuX1vuFzfjx4/niiy8CkkwCXHTRRSxYsKDO8u12O/fee6+vB7W12Wy2Bnv/evbsyeLFiwOSTII5adiSJUtqTUBV5ayzzuKjjz4KSDIJZq/k008/XecN7IOCgnj88ccDkkyC+Rn943deZ+jOt8h49c5aP3z2D544Kz4gySTAuNEjCGok+wh22ukWWfu1aQ0zGrnkLpDCw8N5/vnnG9+wA2pRD+XixYspLi6msLCQ6667jssuu4zLL78cgHPPPZfw8HB27drF2LFj6dmzJ7NnzyY6Opq5c+fyv//9j//+979ceumlvvI6Sg/loUOHfNe9HD3Tl0igKO7ECoo7CbT1+/O4+qXVFJbVnsTmaC36tn7vt7DoLsjcYj7vewqc9yT0rN07sWvXLl5++WW2bt1KSEgIEydO5KqrrgpYMleT1+vl888/Z+HChRw5coT4+Hh+/etfM2nSpDa5bU9eXh7z589n5cqVuN1uUlNTue6662rNkh0omzdv5pVXXmHPnj2Eh4dz5plncvnll/vNRhkobrebDz/8kLfeeouCggKSkpKYMWMG48aNa5PXPjMzk1dffZW1a9diGAYnnngi06ZN87umMpC+++475s+fz4EDB4iOjub888/nwgsvDFgiXeVgXimHc4v44osv+PbbbyktLSUxKYlfXnABgwcPJi4iOGC3zDiYV8rpj39Fubv25E1VQpx2ls6cFJA6WH38pmizIa8pKSm+6WuPtmfPHt9U5ps2beKee+5h2bJluFwu3zj1888//5grLiIiIh3Tih3ZzJi/lpIKDzagoQ8izf5wVZwNn8+CHxeYz8O6wVkPwegrQZ8rRLq8g3ml5BbXP8t0IBPa9nD8xrT5NZStRQmliIhI1/DxxgzufGsdLo/Bzwf34C/nj2jw2/omf7jyemHda/DFbCitnLL/hGvgjNkQ3rqTa4iIdFYtycsCctsQERERkaO9vnovD/xvE4YB5x2XyJO/Gk2I89imqwfg0Eb46C44sMZ83jMVzn8K+ow79rJFRKRBSihFREQkoAzD4Lkvd/L4Z9sBuGp8X/56YSoO+zFep1ZeCF8+Aqv/A4YHgiNh8n0w7kZw6COOiEhbUGvbDJs3b/ZNoz9y5EirqyNdhOJOrKC4k9bi9Ro8tGgLr6xMA+CO0wfx+zOH1DnpSZPjzjBgywfwyb1QmG4uG3EhnP0IxCQH4CykM1N7J1bpLLGnhLIZ3G43bre7TWb+EqmiuBMrKO6kNbg8Xu5+ZwPvrzsIwKwLRjDtZ/3r3b5JcXdkN3z8R9j5hfk8LgXOfQIGB+b2HtL5qb0Tq3SW2FNC2QwhISHY7faAT6csUpPiTqyguJNjVVrh4ZbXv+fLbVk47TYev2w0U8c03HvYYNy5y2HF/8HyJ8BTDo5gOPX35k+QdTMiSsen9k6s0lliT7O8ioiISKvKL3Fx3bzv+H5vLqFBdv591YlMHpZQz8YHzFt91CciHrK3w6I/wJFd5rL+E817SvYY1PqVFxHpwjTLq4iIiFjqcEEZv31pDdsOFxId6uTla09ibEo9t+1wl8OcyVCcWX+BzhBzO4DInnD23yH1EujgQ8RERDoLJZQiIiLSKtKyi7n6pdUcyC0lISqE164fx7Be0fXv4Ag2J9EpzgbquReluxywwbgZcPr9EBoTiKqLiEgLaUypiIiIHLNNB/O59D/fcCC3lH7dw3n35gkNJ5Ng9jKe/gD1JpMA3QbBjK/g3MeUTIqItEPqoWyG9PR0PB4PDoeDpKQkq6sjXYTiTqyguJPmWLU7hxvmraWw3M2IxGjmXTeO+KiQpu08cAokjYGMDea9JGuK6QO3rtY9JSWg1N6JVTpL7KmHshmysrI4fPgwWVlZVldFuhDFnVhBcSdN9fmWw/z25TUUlrsZ178bb914ctOTSTB7KX/2+9rJJMAF/6dkUgJO7Z1YpbPEnlppERERaZGFa/dzz3sb8XgNzhjek2evHENokKN5heTsgiV/BcAAbIBhs2NLHG32XoqISLumhLIZBg0ahGEYHf7mo9KxKO7ECoo7acycZbv4+8dbAbj0xN784+LjcDqaOfBpzzJ4+zdQlgfh3bGV5ABgM7zmtZWKP2kDau/EKp0l9pRQNkNERITVVZAuSHEnVlDcdT0lJSV89tlnHDp0iLi4OM4++2xiY2NrbWcYBv/4ZCsvfL0bgBmnDeDec4Y1/wPR2pfh4z+C1w3JY+FXC+CtKyB9nXlNpXonpY2ovROrdJbYU0IpIiLShXm9Xv7+97/z5JNPkpub61seHh7ODTfcwD/+8Q9CQ0MBcHu83P/+Jt5eux+Ae84Zxk0TBzbvgB43fHY/rP6P+Tz1UrjwWQgKgymzYPGfzMcO/o29iEhXYTMMw7C6El6vl8LCQr9lUVFR2O2aM0hERCRQDMNg+vTpvPzyy/Vuc+aZZ7Jo0SI82LnjzXV8tuUwdhv84+JRXH5Sn+YdsDQP3rkOdi0xn5/+APx8ppJHEZF2oiV5mRLKZigpKfGNcw4PD7e6OtJFKO7ECoq7rmHRokWcf/75ANjtdq688komTpzIunXreOmllygvLwfgiaefY03IGFbtPkKw084zV4zh7JG9mnewnF3w5q8hezsEhcNF/4ERF/ptorgTKyjuxCrtMfZakpdpyGsz7NixA5fLRVBQEKNHj7a6OtJFKO7ECoq7ruG5557z/T537lymTZvme37ppZdy+umnYw+P4ZnNDozYI0SGOHnxt2M5ZWD35h1ozzL472+hNBeikuCKNyHp+FqbKe7ECoo7sUpniT0llCIiIl3U8uXLAeg1cAQnTLmQTQfzfevih5zA6HOuJKvfGRgxCcSFOZk//WRSk2Oad5C1r8DHMysn3zkRfv0GRDWzd1NERNotJZTN0L17dzweDw5HM++xJXIMFHdiBcVd1+ByuXBExRNy0cNc+Py3tTcYdSVBmNda/u2c/s1LJj1u+OwBWP1v83nqJXDhc+bkO/VQ3IkVFHdilc4Se0oom6F3795WV0G6IMWdWEFx1zUMHz6cLRmF4AhqcDubzUbvXj2aXnBZPiycVj35zuQH4LTGJ99R3IkVFHdilc4Se+1r1hsRERFpMzfccEOTt23yN+hHdsPcM81k0hkGl78GE/+omVxFRDopJZQiIiJd1LRp0xg8ZEjrFbhnObx4OmRvMyffue6TWjO5iohI56KEUkREpIsKCwvj+RozvR6T71+F+VPNmVyTToAZX9Y5k6uIiHQuuoayGbZt2+ab2nfo0KFWV0e6CMWdWEFx13V069bt2ArwuOHzP8Oq583nTZh8pz6KO7GC4k6s0lliTwllM5SVleFyufB4PFZXRboQxZ1YQXHXNRiGwfxVaS0voCwf3rkOdn5hPm/i5Dv1Fqe4Ewso7sQqnSX2lFA2g8Ph6BRT+0rHorgTKyjuOj+v1+CvH23h7e8OtKyAI7vhjV+b10s6w+DiF475eknFnVhBcSdW6SyxZzMMw7C6El6vl8LCQr9lUVFR2O26xFNERKS1uT1e7nlvI+98byaTTrsNt7f+jwMhTjtLZ04iObZyGOue5fDf35jXS0YlwRVv6npJEZFOoCV5mXooRUREupByt4ffvfUjizcdwmG38c9LRzF+QHdyiyvq3ScuIrg6mfz+VVj0B/C6zcl3rngTonq1TeVFRKTdUUIpIiLSRZRWeLhxwfcs255FsMPO01eM4RepZjLoSxjr04qT74iISOehhFJERKQLKChzcf2r3/FdWi5hQQ7m/PZEfj44vmk715p853447Y8tnnxHREQ6DyWUzZCZmem7cDYhIcHq6kgXobgTKyjuOpeconKueWUNmw4WEBXq5NVpJ3FivybeLuToyXcu+g+MnBqQeiruxAqKO7FKZ4k9JZTNkJGR4btXTEd+06VjUdyJFRR3nceh/DKumruKXVnFdI8IZt5140hNjvHfKP8AFGfX3jnjR/jsASgvrJx85w1IGhOwuiruxAqKO7FKZ4k9JZQiIiKd1N6cYq6au5oDuaUkxoQy//rxDEqI9N/IXQ5zJkNxZv0F2Z0w7RPo1i+wFRYRkQ5HCWUzpKSkYBgGNl0zIm1IcSdWUNx1fNsOFfKbl1aTWVhOSvdwFkwfT++48NobOoIhJrmyh9Jbd2E9UyGub0DrC4o7sYbiTqzSWWJP96EUERHpZNbvz+OaV9aQV+JiaM8o5k8fR0JUaP077PwCFlxS//qr34VBZ7R+RUVEpF1pSV6mjE1ERKQTWbU7h6vmriavxMXoPrG8fePJDSeTAAOnQPzw2sttDvOayYFTAlNZERHp8DTkVUREpJP4cmsmNy34nnK3l1MGdOfFa8YSGdKEf/Wb3jVncz2a4YHTH9DtQUREpF5KKJuhoqLC93twcLCFNZGuRHEnVlDcdTwfrk/n92//iNtrMGVYAs9ddQKhQY6Gd/K44LM/w+p/m8+Do8BVDIbX7J1MHNWmvZOKO7GC4k6s0lliTwllM/z000++qX1Hjx5tdXWki1DciRUUdx3LW2v2ce/7GzEMuGB0Ek9ePpogRyNXtRQegoXXwr5vzec//wP0ORneuMx8bkHvpOJOrKC4E6t0lthTQikiItIOGIbBmjVr2LBhAw6Hg5NPPpkRI0Y0ut/c5bv526KfALhiXF/+NjUVh72RJHDvt7DwGig6DCHRcNF/YNh5YBjmNZPp63TtpIiINEmzJ+UpLCzk7rvv5qyzziI+Ph6bzcbs2bMb3McwDE477TRsNhu33XZbS+tquZiYGOLi4oiJiWl8Y5FWorgTKyju2tbXX3/NmDFjOPnkk5kxYwbXX389I0eOZNKkSWzZsqXOfQzD4MnPt/uSyRtPG8DfL2okmTQMWPVvmHe+mUzGD4cbvjSTSTB7I6fMgh5Dzcc2vnZScSdWUNyJVTpL7DW7hzInJ4c5c+YwevRopk6dyty5cxvd57nnnmPnzp0tqmB7kpKSYnUVpAtS3IkVFHdt59NPP+WCCy7A5XLVWvf1118zYcIEli9fznHHHedb7vUaPLRoC6+sTANg5llDuHXyoIbvZVZRDP/vDtj0jvk89RL45TMQHOG/3cDJcNuaYz2tFlHciRUUd2KVzhJ7zU4o+/XrR25uLjabjezs7EYTyrS0NO69915ee+01Lr744hZXVEREpLMpLy/nmmuu8SWTY8aM4ZprrqG0tJQXX3yR3bt3k5+fz/Tp01m9ejUAHq/Bve9t4L9rDwAw+4IRXPuz/g0fKGcXvH01ZG4BuxPOehjG36jZW0VE5Jg1O6Fs8NvPOsyYMYMzzzyTiy66qLmHEhER6dTef/99Dh8+DMAZZ5zB4sWLcTrNf8233XYbJ510Elu3bmXNmjWsXbuWUcefwO/f/pFFGzOw2+CxS0dz6Ym9Gz7I1kXw/k1QXgCRPeGyedDvlECfmoiIdBEBnZRn7ty5rFmzpt7rPxqyefNm+vXrR3R0tG9ZeXk5W7duBSAuLo6+ffv67bNjxw5KSkoAas2UlJ2dzcGDBwHo27cvcXFxvnUej4dNmzYBEBUVxYABA/z23bNnDwUFBQCMHDnS988eIC8vj7179wKQlJREfHy8374bNmzAMAzCwsIYMmSI37r9+/dz5MgRAIYOHUpoaPWNp4uKiti1axcACQkJJCYm+u27ZcsW36xQR0/akJGRQWZmJgADBw4kMjLSt66srIxt27YB0K1bN/r06eO37/bt2yktLcVmszFq1Ci/dVlZWaSnpwNmT3VsbKxvndvtZvPmzQBER0fTv7//t+W7d++msLAQgNTUVByO6qnsc3Nz2bdvHwDJycn06NHDb9/169cDEB4ezuDBg/3W7du3j9zcXACGDRtGSEiIb11BQQF79uwBoGfPnvTq1ctv382bN+N2uwkJCWHYsGF+69LT08nKygJg0KBBRERUDwkrKSlhx44dAHTv3p3evf0/zG3bto2ysjIcDgepqal+6zIzM8nIyADMYQ41x8xXVFTw00/mtVAxMTG1hkHs2rWLoqIiAI477jjs9upLoHNycjhwwOyt6N27N927d/et83q9bNy4EYDIyEgGDhzoV25aWhr5+fkADB8+3G/a6vz8fNLS0gBITEwkISHBb99Nmzbh8XgIDQ1l6NChfusOHDhATk4OAIMHDyY8PNy3rri42DcMPj4+nqSkJL99t27dSnl5OU6nk5EjR/qtO3TokO8DeP/+/dVGoDaiI7cRy5Yt8y2fOXMmR44c8Wsjbr31Vm6//XYAPlv6FY+szOf7jDKcdhvPXDGGc46rft9rtREY8OXDsPwJAIq6j2LvuNn0ihxCdQuhNqImtREmtRGm9tBG6HOE2gir2ojmCFhCefDgQWbOnMljjz1W601uCrfbjWEYfssMw/ANC3K73XXuU9c1KGD+MVSt83q9tdY3tdwdO3YQHBzs+2OqWa7H46mzXMMwCAoKqrXO4/H49j36XJtSbn3nWrPco8+15mtYV7lV51pXT3RTy7XqvWkoXup7Dd1ut1+DWqWh96Yp5bpcrjrXNVRu1b5Hl7tr1y5cLhdlZWV1vgbQ9NewrvegZp2O1ti5VlRU4PV6/f6x11VuS1/Dul6jppbbXuKwI7cROTk5VFRU+H14UBuBb/vWaCNqnnNcXFytcqs+kNiCw/h/+X045Ckj2AF/PTPZL5msWS4AJTnw3g2w+0vz6ahr2db7Cgy7s123EVXtnc1mUxtRo9z22kZ0ts8Re/fu9ftA3h7aiOaUW/Ncm/ue63NE7XLbIg6r2rzy8vJ210Y0R8ASyptuuonRo0dzww03tGh/p9NZqzGy2Wy+F6tm5l5zn7peTAC73e5bV9cfflPKdblcFBcX+92EtGa5df0xBAUFYRhGneU6HA7fvkefa1PKrflYX7lHn2vN17CucqvOta5/BE0t14r3pqoO9dWpvtew5jY1NfTeNKVcj8dT57qGyq3a9+hyi4qKfP+cj/U1bOxcj9bYuQYHB+PxeALyGnq93mb/3bTHOOyobUTVB6Wqb7OPPle1Ea3TRtTsGVqwYAEPPPCA3/EWLFiAPSyahMse5JAnkvAgG3+e2IOTU2rPCBgUFERQUBBhuVuxvXgN5B+AoHD45TOUJk3GWdn70J7biKr2rub7pjaifbYR9ZXbEduIKlU9T3XVqSN/jqi5Tp8j2lcbUddnvPbSRjSHzagrdW+i7Oxs4uPjmTVrlt+tQ9555x2uuOIKVqxY4dd9HRcXxw033MBjjz1GRESE7yS8Xq9vGEOVqKioOt8MK61fvx6Xq+PffFQ6FsWdWEFx1zaysrLo3bs3npAYHBEx/Obqq7lw6lTKysp48403WLx0Bd3OupmguETiwoOYf/14UpMbmF7++3nw8UzwVEC3AfCrBdBzZP3btzOKO7GC4k6s0h5jryV5WUASytmzZ/Pggw82uO/777/P1KlTW1xxK9Tsvm5vdZPOS3EnVlDctZ17/voobxQMwe4MbmArg9enj+dng+LrXu0qMxPJdfPN50PPhYv+A6Ed695mijuxguJOrNIeY68leVlAhrxee+21TJo0qdbyyZMnM3XqVO68885aFxl3BO3ljZauRXEnVlDctZ2rrruRt55d2chWNmLC6kk48/bB27+BjB/BZofTH4Cf/R464HuouBMrKO7EKp0l9lqUUC5evJji4mJf9rplyxbeece8UfK5555LSkpKvTfqTE5OrjPZFBER6YqaezsuP7uWwjvXQ+kRCOsGl74EA09vvcqJiIg0okUJ5c033+ybvhZg4cKFLFy4EDCnva0vmRQREZFW4PXCiidh6d8AA5LGwOWvQWzfRncVERFpTS1KKKvuJ9Ncx3C5ZruQk5OD1+vFbrf73Z9HJJAUd2IFxV07VpoH/7sZtn1sPj/ht3DOPyEotOH9OgDFnVhBcSdW6SyxF7DbhnRGBw4c8M3E1JHfdOlYFHdiBcVdO3V4M7x9NRzZDY4QOPefcOI1Vteq1SjuxAqKO7FKZ4k9JZQiIiIW+mpbZpO2i9n5Aaz4E7hKIKaPOcQ1+YQA105ERKRhSiiboXfv3r5uaZG2orgTKyju2saba/bx+GfbSSSHbraCOrdx4uFKxxL6fPm1uWDAZLjkJYjouN9m10dxJ1ZQ3IlVOkvsHdN9KFtLR7kPpYiISGt5acUeHvpoC8G4WBlyB/G2/MZ3+vlMmHwf2B2Br6CIiHQ57eY+lCIiIlI3wzB4dulOnvh8OwDX/nwIMftSMA5vwEbd3/EaNju2yxfA8PPasqoiIiKNUhegiIhIGzEMg398stWXTP7+jCHce+5wgs/8S73JJIDtgqeVTIqISLukHspm8Hq9vt81HFfaiuJOrKC4a31er8Gs/7eZ+avM+zjff+5wbjhtgLly4BTzXpIZG8Dw1NjLBomjYMzVbV9hCyjuxAqKO7FKZ4k9JZTNsHHjRt/UvqNHj7a6OtJFKO7ECoq71uX2ePnTuxt594cD2Gzw8NTjuHJ83+oNbDZIvQzS1x21pwFT/mKu7wIUd2IFxZ1YpbPEnhJKERGRAKpwe/nd2+v4eOMhHHYbT1w2mqljkqs38Lhh+d5zOGQAACAASURBVOPw1aP+O9ocZu/kwCltW2EREZFmUELZDJGRkb5vEUTaiuJOrKC4ax1lLg83L/ieL7dlEeyw8/QVY/hFaq/qDXL3wns3wP7V5vOU0yBtmfm74YHTH+gyvZOguBNrKO7EKp0l9nTbEBERkQAoKndzw7y1fLs7h9AgOy/8ZiwTh8RXb7BhISy6C8oLICQaznsCjrsMXpxsDn1NGgM3fNmlEkoREbGWbhsiIiLSDuSXuLj21TWs25dHZIiTl64Zy/gB3c2VZQXw8UzY8Lb5vM94uHgOxKWYz6fMgsV/Mh+VTIqISDunHkoREZFWlFNUzm9eWsOWjAJiwoJ47bpxjO4Ta67ct9oc4pq3F2x2mPgn+PlMcOj7XRERsZ56KEVERI5BRkYGS5Ysobi4mH79+nHGGWfgdDb9X+Wh/DKumruKXVnF9IgMZv714xmeGF098c7Xj5nXRsb2hYvnQt/xATwbERGRwFNC2QxpaWl4PB4cDgcpKSlWV0e6CMWdWKGrxd2RI0e44447ePvtt3G73b7lycnJPPjgg1x//fWNlrH/SAlXzl3F/iOlJMaE8vr08QyIj6yceGcG7F9lbnjc5XDe4xAaE6jT6bC6WtxJ+6C4E6t0lthTQtkM+fn5nWImJulYFHdiha4Ud3l5eUycOJFNmzbVWnfw4EGmT59OZmYm9957b71l7Mws4uq5qzlUUEa/7uEsuH48fbqF+0+8ExwF5z8Joy4P5Ol0aF0p7qT9UNyJVTpL7OkiRRER6dJmzZrlSyZjY2O5++67eeGFFzj//PN929x///389NNPde6/Jb2AX73wLYcKyhicEMl/bzyFPuFus1fyvelmMtl7HNy8QsmkiIh0OpqUpxkqKip8vwcHB1tYE+lKFHdiha4Sd8XFxSQlJVFQUEBoaCgbNmxg8ODBvvX33XcfjzzyCAB33HEH//rXv/z2X7cvl2teXkNBmZuRSdHMv3483Y78CO9O18Q7LdBV4k7aF8WdWKU9xl5L8jIllCIi0mWtWrWKU045BYCrrrqKBQsW+K3Pzc2le/fuGIbBmDFj+OGHH3zrvt2Vw/R531Fc4eHEfnG8/NsxxHz3NHz9qCbeERGRDkmzvIqIiDSDy+Xy/R4bG1trfWRkJE6nE5fL5fdN8pfbMrlp/veUu71MGNidub9MIPytqZp4R0REuhx1AYqISJc1ePBg37eu7733HiUlJX7rFy5c6Es6R4wYAcDijRnMeG0t5W4vU4Yl8OpJ+wh/eaKZTAZHwUVz4JIXlUyKiEiXoCGvzZCfn49hGNhsNmJi9EFB2obiTqzQleJu6tSpfPDBBwCceuqpPPjggwwYMIAPP/yQ+++/3/f/6dNPP6WoxwhmLlyP14BLRkbzz/DXsG/8r1lQ73FmIhmXYtGZdHxdKe6k/VDciVXaY+xpyGuApaWl+ab2HT16tNXVkS5CcSdW6Epx97e//Y0lS5ZQVFTEihUrmDJlSq1tzjvvPDKjh/DAf9cDMHN4Hrfm3IttV+XEO6fdDaf9URPvHKOuFHfSfijuxCqdJfbaVxegiIhIG0tNTeWzzz4jKSmpzvWXXXYZv/jd4zzwv83Y8fJy/y+5Ne12bHl7IaYvTFsMk+9VMikiIl2S/vs1Q2JiIh6PB4fDYXVVpAtR3IkVulrc9R1+PB+u+JEvlizh22+/pbSkhMSkJM4/7zzW5oby+Be76G3L4s0eL9Mnw+yl5LjL4LwndK1kK+pqcSftg+JOrNJZYk/XUIqISJd2MK+UKx9/h0hPfr3bnGjbwX1hCwn1FJsT75z3BIz+VRvWUkREJPB0DaWIiEgz5RUU8o7jfuKd9SeUAHgwJ965eA50698mdRMREWnv1AUoIiJdmmEPJt3ojtew1b+NAZlj7jCvl1QyKSIi4qOEUkREujabjSfcl2G31X8FyN9cV5E5dqYm3hERETmK/jM2w6ZNm6ioqCA4OJjU1FSrqyNdhOJOrNDV4m6ZdxTrvQNIte3BUSOx9BqwxUjhJe+5XGRh/bqKrhZ30j4o7sQqnSX21EPZDB7P/2fvvuOjqtIGjv8mM5PeK6kEAtICoSsq0ouKSlFBRVEXGxbcFVHXXURRV1HXsiuLiK8oWBBRcVEWQZEmIEjvISQQUkgndZLMzH3/GDJkyIRkQiY35fl+PtHknnvPPXfmySHPnHvPMWE2mzGZTGo3RbQhEndCDW0t7typIFUJsUkmAVw0MN84Gaj9dljReNpa3InmQeJOqKW1xJ6MUDrA3d0drVaLXq9XuymiDZG4E2poS3FnPr6Oda7PEu2SbflZsSSSRsWFQ0osm8y9VG5h29GW4k40HxJ3Qi2tJfZk2RAhhBBtU3EWxatm4Z24CoA0JYjlxqH8Rb/Suss9Fc+wyZwAwOrHryU+UtacFEII0XrJsiFCCCFEXcxm2PMpprV/x7uiEJOi4WPTWP5pvI1S3Bih3UOCy0n2mTtaRyfddC4EeLmq3HAhhBCi+ZERSiGEEG1H1lFY/SSc3gbAAXMsH/o9yYNTJlp38UrbTPhvL5Bx9YuURA4GIMDLlUh/D1WaLIQQQjSVhuRlklAKIYRo/SoNsPlN2PIOmCspUdx4y3g7h6OmsOi+K/F1b9nPrwghhBCNQW55dbIzZ85gMpnQarVERUWp3RzRRkjcCTW0qrg7uRFW/xnykgD42dyXv1fcS9eu3fn4zr54uGpVbqCo0qriTrQYEndCLa0l9iShdEBubi6VlZXo9foW/aaLlkXiTqihVcRdSS789Dzs+wKAUrcQniq+izWmAdzSO5I3b0tAr5U7YZqTVhF3osWRuBNqaS2xJwmlEEKI1kVRLEnk2uehLA8FDQcibuWuk2MowpN7BrVn7k09cHGRtSWFEEKIyyXPUDqgtLQURVHQaDR4enqq3RzRRkjcCTW02LjLOWGZdCdlMwBKaHeWBP6ZF/d6AfDE8E78edQVaDSSTDZHLTbuRIsmcSfU0hxjT56hdLLm8kaLtkXiTqhBrbirqKhg3bp1nDlzBh8fH0aOHEloaGjdBxorYOs7sOlNMJWDzgPTkGf4a8Z1LN+dCcDfx3XnT9d2cPIViMsh/Z1Qg8SdUEtriT2HhwCLioqYPXs2o0ePJiQkBI1Gw9y5c232MZlM/POf/2Ts2LFERUXh6elJt27dePbZZykoKGistgshhGglFEXh3//+NzExMYwbN46HH36Yu+66i+joaO6//34KCwtrP/jUNlh4LWx4xZJMxo2g/MGtPJI8mOW7M9G6aHjztgRJJoUQQggncDihzM3NZdGiRZSXlzN+/Hi7+5SVlTF37lzat2/PO++8w48//sgDDzzAokWLuOaaaygrK7vshgshhGg9/va3v/H4449z9uxZm+0VFRV8/PHHjBgxguLiYtuDyvLh+8fh47GQcwy8QmDSRxTftpz7VmXz0+GzuGpdWHBXX27t13InOxBCCCGaM4dveW3fvj35+floNBpycnJYvHhxjX08PDxITk4mKCjIum3o0KHExMRw2223sXLlSqZOnXp5LVdBSUmJ9T5nLy8vtZsj2giJO6GGpoy7Xbt28eqrr1p/njhxImPHjuXo0aN8+OGHFBUVsWvXLl5//XXmzZtnmXTn4Er437NQkm05qO80GDmXfMWbexfvYN+Zc3i5avnwnv5c3SnYqe0XjUf6O6EGiTuhltYSew4nlPWZyECr1dokk1UGDhwIQGpqqqOnbRZOnDhhndo3ISFB7eaINkLiTqihKeNuwYIF1u9fffVVnnvuOevP9957L3369MFkMvHBBx/w98fvwXXtM5D0s2WH4C5w0zvQ/moyzxm4+6NtJGYVE+CpZ8l9A0mI9ndq20Xjkv5OqEHiTqiltcRek07K88svvwDQo0ePOvc9dOgQ7du3x9fX17qtvLyco0ePAhAQEEBMTIzNMYmJiZSWlgLUeFNycnJIS0sDICYmhoCAAGuZyWTi4MGDgGUWo44dO9ocm5ycTGFhIZWVlTXaWVBQwKlTpwCIiIggJCTEpnz//v0oioKHhwdXXHGFTVlqaip5eXkAdOnSBXd3d2tZcXExSUmWRbhDQ0MJDw+3Ofbw4cPWAOzevbtNWUZGBllZWQDExcXh7e1tLTMYDBw7dgyAwMBAoqOjbY49fvw4ZWVlaDQaevXqZVOWnZ1Neno6YBmp9ve/8Iea0Wjk0KFDAPj6+tKhg+2zSidPnrTOGBUfH49We2Eh8fz8fE6fPg1AZGQkwcG2own79u0DLA8ud+7c2abs9OnT5OfnA9C1a1fc3NysZYWFhSQnJwMQFhZGu3btbI49dOgQRqMRNzc3unbtalOWnp5OdrZl5KNTp042nxqVlpaSmJgIQFBQUI11g44dO4bBYECr1RIfH29TlpWVRUZGBgCxsbH4+flZyyoqKjhy5AgAfn5+xMbG2hxrNBqtr0XPnj1tZtvKzc3lzJkzAERFRdl8oGM2mzlw4AAA3t7exMXF2dSbkpLCuXPnAOjWrRuurq7WsnPnzpGSkgJAeHh4jclRDh48iMlkwt3dnS5dutiUnTlzhtzcXAA6d+5s8+B5SUkJJ06cACAkJISIiAibY48ePUp5eTk6na5Gf5GZmWm9LbJDhw7Nqo8AS/+m013oWltqH2GvvwPn9BGbN1tmZI0LduPGvlGYzuxGez6+ewbBI+OvZse2rYzveg7twmvAXA5aN7huFlwzk32HjpKeuou5v+ZytthIO193lk0fSKdQnzbVRyQlJVlvC27pfYSiKNb+TvqI5tlHQOv5O6Kqv7t44QPpIyyaYx/R2v6OqP43XnPpIxzRZAllWloazz77LP3792fcuHF17m80Gmv8YiuKYv2lNxqNdo+p7Y8gs9lsLTObzTXK61tvSEgIer3ebr0mk8luvYqi2BxTxWQy1dqJ1afe2q61er0XX2v119BevVXXam8kur71qvXeXCpeansNjUaj3WmQL/Xe1KfeyspKu2WXqrfq2IvrDQkJwWQykZ+fT0VFRY1joP6vob33oHqbLlbXtVZUVGA2m23+YbdXb0NfQ3uvUX3rbS5x2JL7CHd3dwIDA+1ea2P2EZWVlbhqYeu9roRtewy22db7r3gg/vwftOZyiB0M496B4E4AHM8u5eXNBZwrN9Mh2IulfxpIVICnTXur2lBbm1pyH3Fxvfa0lD6iqr8zmUzk5OTUWq/0EVj3l78jLv+9qXJxfyd9RM161e4j6ltvS+kjqvq8goICysvL7bZJrT7CEU2SUObl5XHDDTegKArLly+v1/qSOp2uRmek0WisL1b1zL36MfZeTAAXFxdrmb3z17feyMhIm32q12vvl0Gv16Moit16tVqt9diLr7U+9Vb/f231Xnyt1V9De/VWXau9fwjqW69a782l4qW217D6PtVd6r2pT70mk8lu2aXqrTr24nqrPnWrqKiw2zFC/V/Duq71YnVdq6urKyaTySmvodlsdvj3pjnGYUvuI/z8/Gp86uuMPqJbt26cOnWKUwUmQr30aLAf55UmhfzBLxI66kk4f/6dKXnM3ZhPSaVCXKAbXz40iBCfC6OQbaGPqF52ufGtdh9RFW8lJSXWEQ/pI5pvH9Ha/o4ICwurtU3SRzSPPqK+9baUPqKqzzMajdYktLn0EY7QKLX9hVoPOTk5hISE8MILL9RYOqRKfn4+I0eO5NSpU/zyyy81bn+Ahi2gKYQQonX45ptvmDRpEqPjtKydWvukBO9l9uOJhb9Yf95wLItHlv2BodLMgNgAPrp3AL7u9v+hF0IIIUTdGpKXOTVjq0omk5OTWbdund1kUgghRNt2yy23MGzYMH5KMnEk21RjJN5kVtidCTc89YF126q9aTzwyS4MlWaGdQnh0/uvlGRSCCGEUIHTbnmtSiZPnjzJunXr6NOnj7NOJYQQogXTarV8v/BFjv3nJN388muWu2jwGf86nc5PprF0+ynmrDqIosDNCRG8dXsCeq3c0SKEEEKooUEJ5Zo1aygpKbEOhx4+fJivv/4agBtuuAGNRsOYMWPYs2cP77zzDkajke3bt1uPDwkJqTFDVEtw9OhR64xoF8/mJYSzSNwJNTRZ3GUdgQ2v4H3kv/TzAzMulJj1eGrK0WrAjAbCe9N5zEMoisKCX5N4Y61lhsm7r2rPizf3wMWl7uWsRMsg/Z1Qg8SdUEtrib0GJZSPPPKIdfpagBUrVrBixQoA6/TKO3fuBGDmzJk1jp82bRpLlixpyKlVVV5eTmVlpd2Zm4RwFok7oQanx11eMvz6GuxfDiiABhKm4DLkGXzykmDZJABcUGDE31CAV388woebLf/GPD68E38ZdUW91kYWLYf0d0INEndCLa0l9hqUUFatJ3MplzHXT7Ol0+lqnUVJCGeRuBNqcFrcFabDpjdg96dgPj91erebYdjzpLm2J7+kAtwD6BjcC8+c/ZQG9+K4vi/vf7qLdUcs6+L97cZuTB/c8RInES2V9HdCDRJ3Qi2tJfYua5bXxiKzvAohRCtXkgtb/gk7F4PRYNnWaSQM/xtE9CGtoIzhb/5KudHyKe01LgeYq/uUucZ72Gruaa3mrzd05cHrWt4jE0IIIURL0JC8rGWnw0IIIZo3wznY9r7lq6LYsi1mEIyYA+2vtu6WX1JhTSYBtpp7MqrijRrVXR0X7PQmCyGEEKL+JKEUQgjR+CpK4fdFsPUdKDs/c2t4AgyfA51GgDz7KIQQQrQKklAKIYRoPMYK2P2J5TnJ4rOWbcFdYPjzlmclJZEUQgghWhVJKB2QmZmJyWRCq9XSrl07tZsj2giJO6EGh+POZLTM2LrxNSg4bdnmHwND/wq9bgcXrXMbLFoF6e+EGiTuhFpaS+xJQumAs2fPWteKaclvumhZJO6EGuodd2YzHFkFG16FnOOWbd7tYMjT0Oce0Lk2TYNFqyD9nVCDxJ1QS2uJPUkohRBCOE5RIHEd/DIPMvdbtnkEwLV/gQHTwdXTgaoUlu887aSGCiGEEMKZJKF0QIcOHVAURRbSFk1K4k40mXNnoCQHgDjPkvNxVw7pey3lXiHgFwkpW+DneZC63bLd1QeufgyumgHuvg6dstxo4tmVB/h2T1pjXolooaS/E2qQuBNqaS2xJwmlA3x9HftDSYjGIHEnmoSxHBYNg5IsALzt7eMRYJmp9eSvlp917jDwQbjmSfAKcviUucXlPLT0D3adysdFAy4aDUZz7Usju+lcCPCSW2hbM+nvhBok7oRaWkvsSUIphBACtK6W0ceSHMBsf5+yfEsy6aKDfvfC4FngG96g0yWeLeL+T3aSmleGj7uO/9zVjw4hXuSXVNR6TICXK5H+Hg06nxBCCCGcQxJKIYQQluU8hv8Nlk261E6QcAcMfQYCYht8qk3Hs3n0s90UlRuJCfTk/+4dQKdQy5ioJIxCCCFEyyIJpQPKy8ut9zm7ubmp3RzRRkjciSYTNwIi+kDGPlAuGqV094f710Jo18s6xdLtp5j7/SFMZoWBsYEsvLsfgXIbqzhP+juhBok7oZbWEnuSUDrg6NGj1ql9ExIS1G6OaCMk7kSTKCuA/V9BaV7NZBLg1o8uK5k0msy8/MMRlvyWAsCkvlG8OjEeN52sTykukP5OqEHiTqiltcSeJJRCCNFWKQqc3gZ/fAKHvwOjwbIZjfW/ZjS4RPS2jF42UJGhkse/2MOvx7IBmD22C48MiWvxs9oJIYQQQhJKhwQEBGA0GtHp5GUTTUfiTjS6khzY9wXs/hRyjls3l/l25D87Stl6IImVt3sB4ILC499mMTXhd6688kqHT5WaV8r0T3Zx7GwR7noX3r69N9f3bNhEPqL1k/5OqEHiTqiltcSeRlGU2udobyJms5mioiKbbT4+Pri4uKjUIiGEaGXMZkjeCLs/gSOrwVxp2a73hPhJHPYYyMCJMygpKQFgx3RPBkbq+D3NyJWLS3F3d2ft2rVcd9119T7lH6fyeWjpLnKKKwj1cWPxtP70ivJ3xtUJIYQQohE0JC9r2emwEEKISyvKhD3LYM9SyE+5sD28N/SbBvG3orj5cFt8vDWZ7NKlCylxw4mrWMuiJA2QhMFgYNq0aZw4cQKttu7nHlftTePpr/dTYTTTPdyXj+7tT7ifzOAqhBBCtDYyQimEEK2N2QQn1luejTz+P1BMlu1uvtDrduh7D4RfePj/119/ZdiwYQD06dOH3377DXd3dwAqKioYNmwYv/32GwD//e9/GTduXK2nVhSFd39O5J31iQCM7BbGu1N64+Umn18KIYQQzZ2MUAohRFtWkGoZidyzDArTLmyPvhL6ToMe48HVq8ZhmzZtsn4/c+ZMazIJ4Orqyp///GdrQrl58+ZaE0pDpYnZX+/n+33pADx0XUdmj+2K1kUm3xFCCCFaK0koHZCYmGh9cLZz585qN0e0ERJ34pJMlXBsjeXZyBM/A+dvOvEIgIQ7LKORod0uWUVlZaX1+4CAAMA27qq2XbxvddlF5Ty4dBd7Thegc9HwyoR4Jg+IubxrE22O9HdCDRJ3Qi2tJfYkoXRAaWmpda0YIZqKxF0bcu6MZQbW2niFgF+k5fvcJMssrXs/h5KsC/vEDoZ+90LXcaB3t1vNxbp37279ftmyZdx88802cbds2TJrebduNZPTo5mF/GnJLtIKyvDz0LNwaj8GxQXV69xCVCf9nVCDxJ1QS2uJPUkohRCiOTCWw6JhtsnhxbxCYdRLsPczSNlsu733nZbRyKA4h089fvx4AgMDycvLY8WKFTz00EOMHDkSs9nMqlWr+OKLLwDw9vZm8uTJNsduOJrFY5/vpqTCRIdgL/7v3gF0CK55W60QQgghWieZlEcIIZoDRYEPh0H6PsBsfx+N9sIEO2ig0wjLs5Fdrgft5X26uXjxYh544IFL7vP222/z5JNPnm+uwpLfUpi3+jBmBQZ1DOI/U/vi7+l6We0QQgghhHpkUh4hhGipNBoY/jdYNqn2fRQT+EZCn6mWL//Ge0Zx+vTpGAwGZs2aRXl5uU2ZXq/nlVdeYebMmQBUmsy8+N9DLNt+GoDJ/aOZNz4eV518CCiEEEK0NTJCKYQQzUFpHqRsgR/+AiXZNcvd/GDiIug8ClzqXgeyobKzs1myZAk7d+5EURT69u3LfffdR7t27QA4V1bJY5/vZnNiDhoN/PX6bkwf3AGNRmZyFUIIIVq6huRlklAKIYQaSnLh1FZLEpmyBbIOXXr/qSuh08imaVstTueWcv8nOzmRVYyHXsu7U3ozukc7VdskhBBCiMYjt7w6WU5ODmazGRcXF4KDg9VujmgjJO5aieLsCwnkqa2QdbjmPsFdoP01cHIDFJwCxWx5bjK8F8SNcHoT0wrKyC+pAKCgoMAad/7+/hxKP8erPxzhnMFIO193Fk/rT3ykn9PbJNoW6e+EGiTuhFpaS+xJQumAtLQ069S+LflNFy2LxF0LVZx1IXlM2QLZR2vuE9INYq+F2GssiaR3qGX7ifUXnqVUTJZnK518S2laQRnD3/yVcmMtEwKd17WdD5/cP5Aw3/otSSKEI6S/E2qQuBNqaS2xJwmlEEJU58hakNUVZdomkDnHa+4T2sOSPMZea0kgvWr5xyNuBET0gfQ9lv83wehkfklFnckkwMvj4yWZFEIIIYSVJJQOiImJsQ5LC9FUJO6aUH3WgvQOhScPWibRObXVsh5kylbITay5b1j8+RHIayHmavAKql87NBoY8QKsecby/2Y04Y273nkTAgkh/Z1Qg8SdUEtriT1JKB0QEBCgdhNEG9Tm4q6hI4SNQetqqbskB/trQWrAbIL3r4L8kzXL2sVD7GDL6GP7q8EzsOFtiRsGj/3e8OOFaIHaXH8nmgWJO6GW1hJ7klAKIZoPR0YIdW5OOL8BBj4M3z1Uyw4KlOZavtBYJsuxJpCDwKN1/MMghBBCCFFfklAKIZqPOkcIXcA30rJffZiMUJZnWdexJNtSr/X7qp9zLnxfUXTp+vQe0O9+6HAdxFwFHv6OXmGzlZxTonYThBBCCNECSULpAJPJZP1eq5XniETTaFNxp9FYZjStmuG0BjNc8yTkJtlJDO18X5YPOLjUrose3HwsiejFJi9TfS3IxlZpMrNgQxL/+sXOJEJCNLE21d+JZkPiTqiltcSeJJQOOHjwoHVq34SEBLWbI9qINhd3HYdDaHfIPgKKnWRwxTQHK9SAZ5Dl2Uuv4PNfIdV+Drnw5RkE7ufXVvxwGGTstyzb0YRrQTalQ+nneHrFfg5nFKrdFCGANtjfiWZB4k6opbXEniSUQgh1leRC2h+QtgvO7LJ8byi49DFuvjUTQ8/gWpLEQHBpwKd+1UdKm2gtyKZSYTTz7w0nWLDhBEazQoCnnpkjr+AfPx655NIhbjoXArzqebuxEEIIIdoESSgd4OPjg9FoRKeTl000nVYVd8ZyyDxwPnE8n0DmJ9fcT+sGLjqoLAUU0LhAcGe4a6UlSdQ3wTqIKqwF2RQOpp1j1op9HM20PC86tkc75o2PJ8THjVHdw8gvqQDgTNoZTEYTWp2WqMgoAAK8XIn091Ct7aL1a1X9nWgxJO6EWlpL7GkUxd49ZU3LbDZTVGQ7GYaPj0+LX5NFiBapsZbtUBTIO2kZcaxKIDMPgKmi5r5BnSGqP0T2s/w/LB6SN9o+Szl1ZdM/v5i0wbIW5PWvW5bxaMHKjSb+/csJFvyahMmsEOjlyku39ODGnuFoWsnIqxBCCCEuT0PyMkkohRAXGMvh7fiGLdtRmgdpu21vXbU3sY1nEET2v5BARva1v9yGolieY6waIXxgQ6u55bSp7T9TwNMr9nPsrKWfvbFXOC/d3IMgbycsvSKEEEKIFqsheVnLHl8VQjSu+i7boXB+5LHas495SfbrC0+wTSADYuuXGGo0MOIFywjhiBckmWyAcqOJ935OZOHGk5jMCkFerswbH88NPcPVbpoQQgghWgkZoRRC2Dqx/hLLlAypEgAAIABJREFUdgDBV0D+KTCV1ywLjDufOPaHqH4Q1hN0MomLo3Jzc1m3bh0FBQVERkYyatQo3N0de250X2oBs1bsIzGrGICbEiJ48eYeBMqkOkIIIYSoRZOMUBYVFTFv3jz27t3Lnj17yMnJ4YUXXmDu3Lk19t29ezezZ89m+/bt6HQ6hg8fzptvvknHjh0dPW2zkJycbH1wtkOHDmo3R7QRTR53VZPRZOwDxc4oZc759Qo9AqqNPPa33LrqGej89rViJSUlzJo1i48//pjy8gsJe3BwMM888wxPPfVUnc87GipNvLM+kUWbkjArEOztysvj4xkb79iopPR3Qg0Sd0INEndCLa0l9hxOKHNzc1m0aBEJCQmMHz+exYsX293v6NGjDB06lN69e/PVV19hMBiYM2cOgwcPZu/evYSEhFx245taYWGhda0YIZpKk8ZdSS4c+MryPKS9ZPKKGyB+guXW1cCOchtqIzIYDIwdO5YtW7bUKMvJyeHpp58mNTWVd999t9Y6dp/O5+kV+0jKLgHglt4RzL2pR4OW+pD+TqhB4k6oQeJOqKW1xJ7DCWX79u3Jz89Ho9GQk5NTa0I5Z84c3NzcWL16Nb6+vgD069ePzp078+abb/L6669fXsuFEI3DbIKkX2DPUjj6I5grzxdUJYsKaLQQ3gvu+FySSCd5++23rcmkp6cn06dPp2fPnqxfv57ly5cD8N577zFp0iSuu+46m2MNlSb+ue44izefxKxAiI8br4yPZ3SPdk1+HUIIIYRoWy7rGcqcnBxCQkJq3PJqNBrx9fXlnnvuYeHChTbHjBkzhuTkZI4fP27d1lKeoTQajSiKgkajafHrxYiWw2lxl3cS9nwGez+HovQL2yP6QJ+p4BkMK6Zd2K7Gsh1thNlspkOHDpw+fRqNRsP27dsZOHCgtfy9995j5syZANx+++3WBBPgj1N5PL1iPydzLKOSE/tEMuem7vh7Xt6zktLfCTVI3Ak1SNwJtTTH2Gs2s7wmJSVRVlZGr169apT16tWLdevWYTAYLjnJxKFDh2jfvr11dBOgvLyco0ePAhAQEEBMTIzNMYmJiZSWlgKQkJBgU5aTk0NaWhoAMTExBARcWKbAZDJx8OBBwPKCXfyMZ3JyMoWFhQD06NHD5g0vKCjg1KlTAERERNS4lXf//v0oioKHhwdXXHGFTVlqaip5eZZlFbp06WLzehQXF5OUZJk1MzQ0lPBw2+efDh8+bB0i7969u01ZRkYGWVmWZR/i4uLw9va2lhkMBo4dOwZAYGAg0dHRNsceP36csrIyNBpNjfcvOzub9HRL4tG+fXv8/f2tZUajkUOHDgHg6+tb4z7wkydPWoMzPj4erVZrLcvPz+f06dMAREZGEhwcbHPsvn37AMuoTefOnW3KTp8+TX5+PgBdu3bFze3CMgiFhYUkJycDEBYWRrt2tqM1hw4dwmg04ubmRteuXW3K0tPTyc7OBqBTp054eXlZy0pLS0lMTAQgKCiIqKgom2OPHTuGwWBAq9USHx9vU5aVlUVGRgYAsbGx+Pn5WcsqKio4cuQIAH5+fsTGxgJY4y0pKYniYssEKz179rT5xc7NzeXMmTMAREVFERQUZC0zm80cOHAAAB83LR0NB2DPMjh14dZKo6sf+dGj8B/6KProvpaNioIxrBe6s/sp9e9KsU9PQrF18OBBTCYT7u7udOnSxabszJkz5ObmAtC5c2c8PT2tZSUlJZw4cQKAkJAQIiIibI49evQo5eXl6HQ6evToYVOWmZnJ2bNnAejQoUOr6CPOnDlj/R0YPny4NZms6iOuvvpqfH19KSwsZNOmTQBk55/j5e/28v2xYhQg1MeNVyf0ZGT3MED6iCptoY+o0hh9hLe3N3FxcTb1pqSkcO7cOQC6deuGq+uFDyvOnTtHSkoKAOHh4YSG2vYSjvYRVb87JSUl1niRPkL+joCm6yOqvzfSR1g0pz6iSmv5O6Iq3ppjH+EIpySUVW9+YGDNCToCAwNRFIX8/PxLNrwqY69OURQqKyut5faOqSq/mNlstpaZzTWfDatvvRe3qXq9JpPJbr2Koti9N9pkMl1WvbVda/V6L77W6q+hvXqrrtXexB/1rbe5vDd1XWtlZSVGo9HuJy6Xem/qU29lZaXdskvVW3VsXfXac8nXUFFwzdpPcOoaAtM3gLH0fIEGOo0gM2I0aV49UbSu+IVV+4dLo8FwzTNof3qO1C7342vnvamoqMBsNtv8w16fa63va2jvNapvvc0lDuvzu2wwGKw/V/8Dq+paFUXB09PT+qzFzpQ8Zn21l1N5ZQDc0DWAf9w+AD9PvU290kdIH1Glvq+hveOrt+lidV2r9BE165W/I6SPkD7iAukjatbbXPoIRzh1bPVSsxHWNVOhTqersY9Go7G+WPaGhXU6Xa0Ptbq4uFjL7P3i17fei9tUvV57vwx6vR5FUezWq9VqL6ve6v+vrd6Lr7X6a2iv3qprtff+1Lfe5vLe1HWtVddZ12vYkHpNJpPdskvVW3Xspep16DUszob9X6LZs4xu2Ucv7BwQa7mlNeEO8IvCkJKC7vwnixcztR9M0qhllsPstMnV1RWTyeSU19BsNjv8e9Mc47A+v8uRkZF4enpSrvVi3R/H2HLoFP7+/mTmlVNYpHDw0CHyFC90AZGE3zCd2z/YhqJAoIcLjw4M4Ibe7W2SyertlT5C+gio/2tY17VerK5rlT6iZr3yd4T0EdJHXCB9RM16m0sf4QinPEN57Ngxunbtyvvvv8+MGTNsjnn66ad56623KC0ttQ67tpRnKAsKCjCbzbi4uNiMIgjhTA7FncloWUdyz1I4/j8wn/8UTOcB3W+xJJLtr4Fm9rslYNojf2aD13W4XGLdzqrnLABu7x/F8zd2x8/DOTPDSX8n1CBxJ9QgcSfU0hxjr9k8QxkXF4eHh4f1fuvqDhw4QKdOnRxepLs5OHXqlPV5g+bypotW6twZKMkBICvxuHWNIv/O5++N9woBv8gL++ecgL3LYO8XUJx5YXtkP+hzN8RPBHc/RPM1dfrDbFxx4pL7aDQagrz0vHV7b4Z2ufiJ1sYl/Z1Qg8SdUIPEnVBLa4k9pySUOp2Om266iW+++Yb58+fj4+MDWB583rBhA3/+85+dcVohWgdjOSwaBiWWCRFsHq/ecP7/3qHwyHY4vsYywc7pbRf28QyGhCnQ+y4Is51oQTRf4e3aAZdOKAHev6sfV3UMqnM/IYQQQoim0KCEcs2aNZSUlFiHQw8fPszXX38NwA033ICnpycvvvgiAwYMYNy4cTz77LMYDAbmzJlDcHAwTz31VONdQROKiIio9Z52IRqN1tUy+liSA9R8qBs0YDLBOz2hsuT8JhfoNAr63g2dx8AlbpsULZu3W9NMKy79nVCDxJ1Qg8SdUEtrib0GPUMZGxtrnb72YsnJydZpiv/44w+eeeYZtm3bhk6nY/jw4bz55ps1phtuKc9QCtFkTqyHZZPq3i8w7sIEO74Nn+5ZqKvcaOLT307xyo9H6tx39ePXEh8pty8LIYQQovE12TOUVevJ1KVfv36sX7++IacQom2LGwERfSBjHygXj1JqLAlk37shZhDUMWOyo9IKysgvqai1PMDLlUh/j0Y9Z1tkMitsP5nLqr1prDmYSZGh5jTiQgghhBDNXdPcOyWEcExlqWV5j/Q9NcsmL4VuNznltGkFZQx/81fKjfZutbVw07nwy6yhklQ2gKIo7DtzjlV701i9P4PsonJrWZCXK7mXSOSFEEIIIZojSSiFaE4UBQ59Cz/9DQrTbMs0WgjvBV3HOe30+SUVl0wmAcqNZvJLKpyWULbGEdLEs0V8vy+d7/elcyq31Lrd31PP9fHh3NI7Ak+9lpvf36piK4UQQgghHCcJpQP2799vndq3V69eajdHtDZZR2HN05C8CYAK72jyr5hE2O53LOWKiZRef6E4vbBFJlX10ZpGSNMKyvjvvnRW7U3nSEahdbuHXsvoHmHcnBDB4M4huOpcrPu76VzqvPYAr6aZcEn6O6EGiTuhBok7oZbWEnuSUDpAURTrlxCNxlAIG1+HHQvBbETRuvOvinG8nzOO8hw9q1w7kuBykn3mjtzynQuwpcFJlaIoFJYZyS42kFVYTlZROdlF5WQVGcgqKic5p6Re9dz+wTb8PfR4u+vwdtPh42753sfN8nPVdl/3C/tYy90t+3vqtbi42D7/2RxGSC9HbnE5Px7I4Pt96exMybdu17loGNolhJsSIhjVPQxP15pdb6S/B7/MGtpsRmelvxNqkLgTapC4E2ppLbEnCaUDPDw80Ov16HTysolGoChwYAX89HcozrRs63Ijx3s/xz8/OW3dbb5xMnN1nzLfOBmwJGAXJ1VGk5nckooLyWFhVaJ4IVnMPv9VV8JWH6UVJkorTHCu4XVoNODtqquWlOpoDt2po7fcFpcb+elQJt/vS2dzYg4ms+UqNBq4skMgNydEcn18u3qNLEb6ezSbRFn6O6EGiTuhBok7oZbWEnsNWjakscmyIaLNyTwIPz4Np3+z/BzYEa6fD51HcTDtHOP+taXOKvrG+FNWaSa7qJzcknIc+U32ddcR4uNGqI87ob5uhHi7EerrRnmlmbfWHa/z+IVT+xLu50FxuZEig5HiciPFhkrr90XlRoqt240UGiot35/fvyrpaqh2vu60D/Ikwt+DcD93wv09iPBzJ9zPgwh/d/w89GgaMPttfW+5/d+Tgzl+tpjv96az/shZm/17RvpxS+8IxvWKoJ2fe4OuTwghhBBCDU22bIgQooHKCmDDq7DzQ8tyIDoPuG4WXP046Nwcqmr36QKbn100EHw+MQzxrpYs+rgR6uNGiI/7+f+74a63v4DuwbRz9UooowI8G7wWoqIolBvNliSzWtJZVG7kaEYhb69PrLOOzEIDmYWGWss99FrC/d2J8POgnZ+7Jdk8n3xWJaE+7voax9X3ltsb39tiGaE9r2OwFzf3juDmhAg6hnjX2X4hhBBCiNZCEkohmoLZDPs+h3UvQGmOZVv3W2D0K+Afbd3t+NkiPtx8sl5VPjGiE31iAgg9P9IY6OWK1qVx16R0Bo1Gg7tei7teS6iPbVmkv0e9EsrXJvbEw1VLeoGBjHNl1v9nnDOQV1JBWaWJk9klnMyu/ZlQHzcd4f4XRjXD/Twwmet3O3BphYl2vu7clBDOLb0j6RHh26ARUSGEEEKIlk4SSiGcLX2P5fbWMzstPwdfYbm9NW4YYHkG77/70lm+M5W9qQWXqMjW6O7tGjxKWJsAL9dmNdNobeIj/Wq9dkOliYxz5xPMqoTznIGMAkvCmV5QRuH5EdGis8UcP1vs8Pn/MbEnk/tH15hUSAghhBCirZGE0gGpqamYTCa0Wi3R0dF1HyDattI8+GUe7PoYUMDVG4Y8A1c+jKLV80dKHl/uTOWH/RmUVVpun9S5aBgQG8C2k3mqNLm5zTTaEO56LR2CvegQ7FXrPiXlRpuRzfQCA5nnDBw/W8SeeiT1PSP9Wn0yKf2dUIPEnVCDxJ1QS2uJPUkoHZCXl2ddK6Ylv+nCycwm2P0J/PwSlJ1fOqLnbTDqJbI1QXyzNZXlu1JtbsfsGOLF5P7RTOwbxdlCQ70m5XEWNWcabaoRUi83HZ1Cfeh00T239Z0QqS2Q/k6oQeJOqEHiTqiltcSeJJRCNKbUnfDjLMjYa/k5tDvGsfPZVHEFy1el8vORvRjPz3Dqodcyrlc4kwdE0699gPUZvAqTuUXcduoMrWGEVAghhBCiLZGE0gFdunRBURSZfEPUVJID61+APcssP7v5kjdwFv9XOYIVX2ZytnCXddfe0f5MGRDNuIQIvN3qXuC+vLwcBcsKlG5ulplgW3NS1ZzWYmzLpL8TapC4E2qQuBNqaS2xJwmlA9zdZU25tubUqVP8+uuvGAwGOnfuzNChQ23X4TEZYdf/wYaXwXDOckz0LbxaMYW16xTgFACBXq5M6BPJ5AHRXBHmY+dMtiLPr6u4ZcsWjhw5gqurK4MHDyYuMtQZl2lXYWEhP/30Ezk5OYSEhDBmzBi8vZtuSYxjx47x22+/YTQa6dGjB4MGDXJ6h9tSJiVqCtLfCTVI3Ak1SNwJtbSW2JOEUgg79v+xjQ/ee5Ndu/8ARbFuDw0NZcqUKQy/fjzh5izL7K1nDwCQ7nEFs8vuZktiHKCg0cDgziFMGRDNyG5huOpqXxD2YqtXr2bWrFkcO3bMZvv111/PggULiI2NbYzLtKuiooK///3vLFiwgOLiCzOg+vr68vjjjzN37lx0Oud1HYmJicyYMYP169fbbO/Rowdvv/02o0aNctq5I/09eCIun/nvLiAzM9O63cXFheHDhzN79mw6xYTLCKoQQgghxHkaRan217JKzGYzRUVFNtt8fHxsR4KEaCJ7DycS+eVwQlwKa93HoOhx11QCUKTx5vWK2/jcNAIzLkT6e3B7/2hu7R/VoMTjyy+/5M4776S2X8127dqxbds2pySVJpOJiRMn8v3339e6z+TJk/n888+d8vt5/PhxrrnmGnJycuyWa7Vavv76a8aPH9/o5wZ47733mDlzZq3lnTt3ZuvWrYSEhDjl/EIIIYQQampIXiYJpQOKi4sxm824uLg06a1/omndPG0G89pvo6cmGRdNzV8PRQGNBswKfGkaxhvGyZRo/RndI4wpA2K4Oi6owUtKFBQUEB0dbR0ZvPrqq5k0aRJ5eXl8/PHHpKenAzBu3Dj++9//Nvwia/Hxxx9z//33A6DX67n33nsZOHAgv/32G59++ikmk2V5k+XLl3P77bc3+vmHDx/Ohg0bAIiJieHBBx/E19eXpUuXsnOnZR1Pf39/zpw5g5dX7cuCNERKSgqdOnWyXuPo0aOZMGECqampfPDBB+Tm5gIwffp0Pvzww0Y9d3Mk/Z1Qg8SdUIPEnVBLc4w9SSidbN++fdapfRMSEtRujnCCs2fP0rHfECbdcw+fur5e635J5nb8pXIG5WF9mDwgmvG9IxvlubrqI2STJ0/miy++YP/+/VRWVlJSUsIdd9xBRkYGGo2GpKQkOnTocNnnrG7AgAHs2mWZQGj16tXceOON1rKvvvqKyZMnA3DdddexcePGRj33kSNH6N69OwCxsbHs2bMHf39/wNJHTJgwwTpy+uGHHzJ9+vRGPf9f//pX/vGPfwDwxBNP8O6771rLTp8+TY8ePSguLsbd3Z309HQCAgIa9fzNjfR3Qg0Sd6I2BoOB7Oxsp9RdVFRknRjFx6fueQ6EaCxqxZ6bmxtBQUFotdoaZQ3Jy+QZSiGq2bFjB0ajkU3mXuwzd6SHJgWd5sIELYoCZ5RgRla8QVjKera9+kSjThSzefNm6/fPPPOMTd3+/v488MADvPTSSyiKwtatWxs1oSwrK7Mmkz169LBJJgFuu+02nn32WZKTk9myZYv1E7XGUv3aH374YWsyCZZnGJ9++mlrQrl58+ZGTyirn/+5556zKYuJieHOO+9k0aJFGAwG/vjjD0aOHNmo5xdCCGGfwWAgKyuLyMhIu38AX67S0lLrH/Wenp6NXr8QtVEj9hRFoaysjLS0NEJCQvDwuPx5ISShdEBoaCgmk8kpnZloHiorK89/p2Gh8Sb+4/quTblGA89X/gkFLdrirEafdfTC+bEmVNXjrvqoWPV9G4PRaKxx7uo0Go3NiKHJZGrUhLL69dgb/XPmtV9cp5+fX5Ofv7mR/k6oQeJO2JOdne20ZBJw6kRzQlyKGrFXlbyGh4dbP6i5XM3rntJmLjw8nKioKMLDw9VuinCSbt26ARCryeBp3ZfAhUlejYoL+8wd2WTuBdDot5tWPz/AsmWWNS2r4i4sLIzPPvvM7r6Nwdvb29qpbNu2jaSkJJvygwcPsmfPHsAyOY1er2/U81fd7gqWa7/4bvyq1wMa/9ovrrP6ucCyFuhXX31l/blr166Nfv7mRvo7oQaJO1EbZ37I4Orqav0SoimpGXt6vR6zufZl0hwhCaUQ1XTv3p07R/bmW9cX6OhylmzFl6pBSJ3GzFvG2wDLBmfMNPqnP/3J+v1LL73Eiy++SGJiIjt27ODWW2+13pIaHx/PlVde2ajn1mg01ttIzWYzY8aM4euvvyY1NZUvv/yScePGWfdt7NtNAYYMGUJcXBxguf10ypQp7Nq1i+PHj/P8888zf/58wHL767333tvo53/ggQes3z/55JO89dZbJCcns2nTJm644QaSk5MBGDlypFM+TBBCCCGEaIlkUh4hqtm5agEJu/+Gq8bEXnMcD1T8hcWub5HgcpJ95o7cUjGPqoRy9ePXEh9Z89bIyzVz5kzee++9Wsu1Wi1r1qxxynqMeXl59O/f35o82dOlSxd27tzplIfHv//+e8aPH1/rkilgebb0tddea/RzK4rClClTbEYiL+bu7s6WLVvo169fo59fCCGEfampqURHR6vdDCFaHXu/Ww3JyyRjEwJQzGa2L/4LA/Y8h6vGxI+mgUyp+BvZBDDfOJlEcyTzjZOpSiZddS6NMqurPf/85z+ZOXOm3ecz/fz8+Oqrr5ySTAIEBgayYcMGevfubbd84MCB/Pzzz06biezmm2/ms88+szt1touLC8888wyvvvqqU86t0Wj45JNPuPvuu+2Wh4aG8uOPP0oyKYQQQghRjSSUDjh8+DD79u3j8OHDajdFNCJDWQl/vH0rV535CIBtEffQ88lvWfbANUyPzqE4/QxPnLgWL3Ml/74pitWPX8uGWUOJ9L/8WbHs0Wq1vPPOO5w4cYLnn3+ekSNHMnbsWObMmUNqaioTJ050ynmrtG/fnj/++IO1a9cyffp0JkyYwIMPPsjPP//M9u3bG+Xh7Uu54447OHPmDP/617+YPHkykyZNYs6cOZw8eZLXXnvNqXcuuLu78+mnn3Lo0CFmzZrFxIkTueuuu1iyZAkpKSkMGzbMaedubqS/E2qQuBNqKCsro7S0lLKyMrWb4hRffvklvXv3xt3dnYiICJ588knretd10Wg0dr/qulNo6tSpaDQam8dlqsvJyWHmzJnExsbi5uZGWFgY119/PXl5eQ5fX1U7H3vssQYdW19ZWVnce++9BAcH4+npyaBBg/j555/rdezixYsZP348sbGxeHh40KlTJx555BFOnjxpN/bq8579+uuvtb4/27dvb7Trrg+Z1soBlZWVbWJ2x7YkLyuNrA9vpX/lYSoVLXsTXmDQRMs6kNFB3vR/dBowTZW2dezYkZdfftlmXbamWqPIxcWF0aNHM3r06CY538X8/Px47LHHnP6PQ226d+/OG2+8ocq5mwvp74QaJO6Es6UVlJFfUmGzzWAwWJduCA/CaR8Yq+Gzzz5j6tSpTJ8+nbfffpvjx4/zzDPPcPjwYX766ad61XHrrbfy1FNP2WyLiYmpdf8ffviB7777Dl9fX7vl6enpDB48GJ1Ox9///nc6d+5MTk4OGzZsoKKiwu4xaisvL2fEiBEUFBTw7rvvEhoayvvvv8/YsWNZv349Q4YMueTxL7zwAsOGDePVV18lMjKSY8eOMW/ePL777ju2bt1Ku3btrPs6+p69+uqrNT7wjo+Pb5wLrydJKB1QNatlY89uKdRx6uhu9Mun0FU5SyFenB79AQOuuUntZtUgcSfUIHEn1CBxJ5wpraCM4W/+Srmx9pkt3XQu/OLEu5Cakslk4umnn2b06NF8+OGHAAwbNgwfHx/uuusu1qxZw/XXX19nPWFhYVx11VX1Oue5c+d46KGHmDdvHu+++67dfWbMmEF5eTm7du2yWZLL2XdgXY6PPvqIgwcP8ttvvzFo0CDA8lomJCQwe/ZsduzYccnj9+zZQ2hoqPXnIUOG0LdvXwYMGMAnn3zCs88+CzTsPevcuXO93x9nkVteHdC9e3cSEhJsljcQLdPBzasI+PJGIpSzpGnCyL/jR+KbYTIJEndCHRJ3Qg0Sd8KZ8ksqLplMApQbzTVGMJ1p1apV9OrVCzc3Nzp27Mi7777L3LlzG2Wd6+3bt5ORkcF9991ns/22227D29ubb7/99rLPcbGnnnqK8PBwnnjiCbvlKSkpfP/99zzwwAN215y+XEuXLqVbt254enqSkJDA6tWrG6Xeb7/9li5duliTSbCsITl16lR+//130tLSLnl89WSySr9+/dBqtWRmZuLhYfkAQ433rDFIQinanN9XvkOX9ffhSylH9N3xnLGR9l3sT0IjhBBCiOartMJY7y9DpaledRoqTQ7V21D/+9//mDhxIkFBQSxfvpz58+fzxRdf8Mknn9TY12QyYTQa6/yqvq7gwYMHAejVq5dNXXq9nq5du1rL6/L555/j4eGBm5sb/fr14+OPP7a73/r16/n0009ZvHhxreuGbt68GUVRiIiI4I477sDb2xt3d3eGDh3Ktm3b6tWe2vzwww/8+9//5qWXXmLlypUEBgYyYcIETp48ad1HUZR6vY5Go+37evDgwRqvI1x4bQ8dOuRwezdu3IjJZKJHjx4256leb5VLvWePPvooOp0OX19fxowZw5YtWxxuy+WSW15Fm2E2mdix+EkGZXwKGtjlO5L4Rz7F3cNL7aYJIYQQogG6z1nb6HXeutCxxCbltRsbdJ45c+YQGRnJ2rVrrQvbjx07ltjY2Br7jhgxgo0bN9ZZ57Rp01iyZAkAubm5gGUG94sFBgaSkpJSZ3133nknN954I9HR0WRlZfHRRx9x//33c/LkSebNm2fdr7i4mAceeIBZs2aRkJBQa31VI3mzZs1i2LBhrFy5kpKSEl588UWGDx/Ojh077CZu9VFWVsb69eut80307duXiIgIvvrqK+stpRs3bqz3BHvJycnW9yI3N7fW17Gq3BFFRUXMmDGD6Oho7r//fut2R94zPz8/Zs6cydChQwkKCuLEiRO88cYbDB06lB9++IExY8Y41KbLIQmlaBPKSoo4suB+Jkq2AAAgAElEQVROBpVsAmBb9ANcdd98NLLWqRBCCCGaWElJCbt27eKxxx6zJpMA3t7e3HTTTdaksMoHH3xQY21Ae4KDg2tsq+322frcVvvZZ5/Z/Dxp0iRuuukmXnvtNZ544glCQkIAePbZZ9Hr9cyZM+eS9VWNoEZFRbFy5UrrSOagQYPo1KkT8+fPZ9myZXW2y56qZw2rhIWFERoayqlTp6zb+vXrx86dO+tVX0REhM3Pl3q9HLlF2WAwMHHiRE6dOsUvv/xid6m0+rxnffr0oU+fPtafBw8ezIQJE+jZsyezZ8+WhLK5ysjIwGQyodVqCQ8PV7s5op5yMk+Tt3gSfY3HqVB07O/3CoNufljtZtWbxJ1Qg8SdUIPEnXDU4Zfq/0fz4fTCeo0+fv3wILpH2J+htLHk5+ejKAphYWE1yuxt69SpE4qi1Flv9aW1goKCAMuo18V15uXl2R0Fq4+pU6eyevVqdu3axfXXX8/vv//OggUL+OabbzAYDBgMBsCSPBqNRgoKCqy3zFa1aeTIkTa3xYaHh5OQkMDu3bsb1Ca4cL3Vubm52SzJ4e3tXeta2xfT6S6kSUFBQXZHIauWOanva1leXs6ECRPYsmULq1evpk+fPtaZbV1dXS/7PfP392fcuHEsXLiQsrIy67OZzibDMw7IysoiMzOTrKwstZsi6in50A6MC4dzhfE4+fhw4vrP6N+CkkmQuBPqkLgTapC4E47ydNXV+8tdb/+5vou567UO1dsQAQEBaDQazp49W6MsMzOzxrYRI0ag1+vr/Kp++2TPnj0BOHDggE1dRqORo0ePNnhpiarEtip5PXz4MIqiMGHCBAICAqxfqamprF27loCAAP7zn/8ANZ8NvLheZ641DZZbXuvzOur1epvbS3v27FnjdYQLr219Xsvy8nLGjx/Phg0b+O677xgxYgRGo5HKykrrM5uN8Z5VvT+NMbFTfckIpWi19m/4mo6/Poa3poxUTQSau1bQvVPTrssjhBBCCHExLy8v+vfvz3fffcebb75pve21uLjY7sykDbnl9corryQ8PJwlS5YwefJk6/avv/6a4uLiBi/TsXTpUvR6Pf369QMsz31u2LChxn5TpkyhQ4cO/OMf/6BTp07WNkVFRfHTTz9Z70YAy9qU+/bt484772xQm+qrobe8TpgwgRkzZrBjxw6uvPJKwJLkLVu2jCuvvLLG7bEXqxqZ/OWXX/jmm29qvR31ct+z/Px8Vq9eTe/evXF3d6/XdTYGSSgdEBcXh9lsdvqnJ+Ly7Vj+Ov0P/wOtRuGQay+iHvoav6Cat5C0BBJ3Qg0Sd0INEnfCmQK8XHHTudS5DmWAl2ut5Y3ppZde4sYbb2TMmDHMnDkTk8nEG2+8gbe3t/VWyipdunRxuH6tVsv8+fO5++67eeihh7jjjjtITExk9uzZjBo1irFjx1r33bhxIyNGjGDOnDnW5yDfeOMNDh8+zIgRI4iKirJOyvPTTz8xd+5ca/Larl072rVrV+P87u7uBAUFMXToUOs2FxcX3n77bW6//XZuueUWHnnkEUpKSpg3bx6urq4899xz1n1TUlLo0KGDzURDl8vHx4f+/fs7fNz999/P+++/z2233cZrr71GaGgoCxYs4NixY6xfv95m36oJlKrPFHvrrbeyZs0ann/+eYKCgti+fTtgmb3X19fXulSSI+/ZnXfeSUxMDP379yc4OJjExETeeustzp4922ivV31JQukAew/NiubFZDSyc9EMrspaDhrY6X89CY8swdWt6T6laWwSd0INEndCDRJ3wpki/T34ZdbQS64zGeDlSqR/0zx3NnbsWFauXMmcOXOYPHky7dq1Y8aMGaSnp7N06dJGOcfUqVPRarW89tprLFmyhMDAQO655x5eeeUVm/0URcFkMtksO9K1a1e+//57fvjhB/Lz8/Hw8KB379588cUXTJkypcFtuvXWW/n222955ZVXuPXWW3Fzc2PIkCEsX76cuLg4637FxcUAzeJ5ajc3N37++Wdmz57N448/TmlpKb1792bNmjUMGTLEZl+TyYTJZLtETdWo8yuvvFLjtR8yZAi//vqr9ef6vme9evVi+fLlLFy4kOLiYgIDA7n22mtZunQpAwYMaMSrr5tGqc8Tvk5mNptrDOP7+PjIJ5TCISVFBST+Zwq9Sy0P3G/r8ChX3f2yzOQqhBBCtGCpqalER0er3YwmUVlZSe/evYmMjOSnn35SuzmqWrBgAbNnzyYpKcnuREXi8tn73WpIXiYjlKJVyEpLpvD/JtHblIRB0XPoyjcYdMN9ajdLCCGEEKJWf/rTnxg1ahTh4eFkZmaycOFCjhw5wrvvvqt201S3YcMGnnjiCUkmWwBJKB1gMBhQFAWNRtOkD7qKSzuxbyu+306lE3nk4kf2TR/Tr/8ItZvVaCTuhBok7oQaJO6EGqrf5tnUd8cVFRUxa9YssrOz0ev19O3blx9//JGRI0c2aTuaoxUrVqjdBKdTM/YakySUDjh27BiVlZXo9XoSEhLUbo4A9q7/gis2z8RTU06KSzSu96yka6zjD643ZxJ3Qg0Sd0INEndCDdU/yPD09GzSc3/11VdNej7RvKgZe41JEkrRrJWVlbF27VoyMzMJCAhg9OjRBAQEoJjN7PjyFQYeewsXjcIBt760f+RrfP1rLmorhBBCCCGEcA6nJpR79uzhxRdf5Pfff6egoICYmBjuvPNOZs2a1SKz8MDAQJs1c4TzmM1m3nhlDmv/+w0lpSXW7f9+/W8MGzqUm8MzuKpkM2hgR9At9H3oQ/Subiq22Hkk7oQaJO6EGiTuhBp0Op11lEiIptRaYs9ps7wePnyYfv360aVLF/76178SHBzMpk2bePnll7nxxhtZtWqVdV+Z5VVUpygK9z38GG+EfU+IS+El9oNNsY9y3TSZyVUIIYRordrSLK9CNKVmP8vr559/jsFgYOXKldY1ZYYPH05GRgaLFi0iPz+fgIAAZ51etGD/+9//+GLV//jzg8EEKUW4aGp+5qEokKKEETRqtiSTQgghhBBCqMRpf4nr9XoA/Pz8bLb7+/vj4uKCq6urs04tWrgFCxYAGt4y3mY3mQTQaOAF472ovoiqEEIIIYQQbZjTRiinTZvGO++8wyOPPMLrr79OSEgIGzdu5IMPPuDRRx/Fy8vrkscfOnSI9u3b4+vra91WXl7O0aNHAQgICCAmJsbmmMTEREpLSwFqzA6Xk5NDWloaADExMTajoyaTiYMHDwKWId2OHTvaHJucnExhoeXWyx49eqDTXXjZCgoKOHXqFAARERGEhITYHLt//34URcHDw4MrrrjCpiw1NZW8vDwAunTpYjNFenFxMUlJSQCEhoYSHh5uc+zhw4etM+F1797dpiwjI4OsrCwA4uLi8Pb2tpYZDAaOHTsGWJ5VuXiY+/jx45SVlaHRaOjVq5dNWXZ2Nunp6QC0b98ef39/a5nRaOTQoUMA+Pr60qFDB5tjT548aR0+j4+Pt3k+Jj8/n9OnTwMQGRnJ5s2bwT2YTeZe7DN3JF6TjLZaYmlSNBxUOrDJ3Iubjh7FnOsBQNeuXXFzu/AcZWFhIcnJyQCEhYXRrl07mzYdOnQIo9GIm5sbXbt2tSlLT08nOzsbgE6dOtnEa2lpKYmJiQAEBQURFRVlc+yxY8cwGAxotVri4+NtyrKyssjIyAAgNjbW5gOXiooKjhw5Alg+iImNjbU5NikpieLiYgB69uxpc+tBbm4uZ86cASAqKoqgoAuTE5nNZg4cOACAt7e39Y6BKikpKZw7d47/b+/O46Iq9weOf4ZFVjcWRdBw31DAbm6piSHuXsMll9TUui3u1nXJa4BLXa5Gad60NNNyS9OrGanlhtkvNaxccCnN3MKNRQUEZGbO7w/uzGWYAQEZDgzf9+vFS+csz/meM18e5pnznOcBaNGihcmXPXfv3uXSpUsA1KlTh1q1apnsm5CQgE6nw9nZmWbNTEfXvXbtGsnJyQA0adLE5LnpjIwMLly4AIC3tze+vr4m+547d47s7GwcHBwICAgwWXfjxg1u3rwJQIMGDaSOoPLVEV5eXib7njhxAgBXV1eaNGlisu7KlSukpqYCUkdIHSF1RF4VrY7Izs5Gp9MB4OLiYvLMmVar5cGDB0DuDQ3DTQ0Dw3tqZ2dnNh1N3nKdnZ1Nfm90Oh3Z2dkFlpuZmWl8/s3FxcVk3YMHD9BqtQA4OTmZ1Gl5y3VwcDC7yZKVlYVer7dYbk5ODjk5OQBUqVLFJJf0ej1ZWVkA2Nvbm9R3ecuFwq9h/nIVRSEzM7NE1/Bh743hGloq91GuYWHvTd5rmL/c4lzD/OPBFPbe5L2Glsq1Vn7nvYaW8jstLY0TJ05YrCOKw2oNyvr163P48GHCw8NN/jhNnjyZxYsXP3R/rVZL/sc7FUUxvlGGi5N/H8P6/PR6vXFd3jlfDIpa7q+//oqjo6OxUs9briER8perKIrZm2/Y3rBv/nMtSrkFnWvecvOfa95raKlcw7laeji4qOU+6nuTk5MD//19OKt/jCCHiybb22sUYnKGABqys7PJyXEwxlCcc83JyUGr1VrsE17Ye1OUcnNyciyuK6xcw775y/3tt9/QarUmlU1+Rc1vS+9B3pjye9i5PnjwAL1eb3EAjdK4hpauUVHLVauOKMnvcnmtI5KSksjMzDT5EFse6ghL51qUcm21jshfriUVpY4w1Hd5Y5E6ovzWEWX5OUJRFIvvd971D1tX0DaG5dnZ2SaNj7zHtLSvtWIylPsoxyzuvkU515KU+7B9DXlgjev7qOda3HKLsm/+bQzThuSPKf/vjzXec8P6gv4eFYfVGpSXLl2if//+1K5dmy1btuDt7c3Ro0dZsGAB6enprFq1qvDAHBzMLqZGozFWqHlb/Xn3sVThQm6r3bDO0oeDopSbk5NDZmamSUWXt1xLfzAdHR1RFMViufb29sZ9859rUcrN+29B5eY/17zX0FK5hnO19IegqOU+6nvTokULzl6/S7TDSoY5xAGgV8BOA1rFjtNKfb7T537r6eXthaOj1hhDcc7VcJ4Pu4YlKbegUQoLK9ewb/5yMzMzjX+cHzW/H3au+T3sXKtUqYJOp7PKNdTr9cX+vVG7jrAUU0WtIwx/YAzfqOY/VzXriILOtbjvja3UEXnXVfQ6wlDf5X3fpI4on3VEQeVaq47QaDSFjoRZlHUPG0kz/wfvvMe0tO/Dyi1pTIbjFrbuUcotaL+SnuujxGRnZ1fgKKfWes+Leq4FlVuaMen1emPePUpMhe33sH0dHR0feWRtq43yOmzYMA4cOMDFixdNugKtXr2acePGERcXR9euXYGKM8rryZMnjd1D8nfjEKVn+dL3aHXtU7q4/IFO0bBeF8poh73G9aMfzOQ7fW5XpNhJnWnlV72gomyC5J1Qg+SdUIPknbCkVEd5vXsNMpJMFmVmZQEKoMHFsx5U9yudY5UTn3/+OdHR0Zw7dw4PDw+effZZFixYYNKV2ZKMjAxeeOEFfvnlFxITE9Hr9dSvX5/hw4czbdo0s8fXbt26xYwZM4iNjeX+/fsEBQWxYMECQkNDjdvcu3ePpUuXsmfPHs6dO0d6ejoNGjRg5MiRTJkyxazLZlGFhISQlJRk7HpuDTk5Obz99tusXr2a69ev06BBAyZMmMCkSZOKtH96ejpz5sxh8+bNpKSk0Lx5c6ZNm8bgwYPRaDTGLrRjxozh008/Ndu/WbNmxi77luzdu5ewsDAgt3t5/sdDLCn3o7weP36cli1bmiVb27ZtgdznKgwNyopC/rhZ358Xz9In5WP8Xa6RrjgzKWcSB/TBBNldJMjuIif0DY13JysLyTuhBsk7oQbJO2FV2mxY0Q0ybpksNnnCzr0WTE0AB9uY23r9+vWMHDmSF198kffee4/ffvuNmTNncubMGb799ttC9zV0t37ttddo0KABdnZ2fPfdd8ybN4+4uDj27v3fl/3Z2dmEhoZy584dlixZQq1atfjggw/o1asXe/fuNX7mv3LlCosXL2bUqFG89tpruLu7c+jQIaKiotizZw979uwpt3Myjh8/nrVr1zJ//nzatm3LN998w5QpU0hLS2P27NkP3X/gwIHEx8cTHR1N06ZN2bBhA2PGjMHR0ZERI0aYbOvi4sL+/fvNlhUkPT2dv/3tb/j6+hqfUy5LVmtQ+vr6kpCQQHp6usk3IIcPHwYwG6RAiHM/7qH2znHU5B438GRs1jTOanIHNlioHUqUw2cs1A4FcisaJwc7arrJaMFCCCGEKAL7Krl3HzOSAPPnYMEOqvnlbmcDdDod06dPp0ePHqxcuRKAbt26UbVqVZ577jl27dpF7969C9y/Ro0abNq0yWRZ9+7dyc7OZuHChVy8eNE4ANWqVatISEjghx9+oGPHjsZjBQUFMWPGDI4ePQrkDpR16dIlkxtOTz/9NG5ubkyfPp3/+7//o3PnzqV6HUrD6dOnWbVqFW+99RbTp08Hcu+KJicns2DBAl555RU8PDwK3H/nzp3s2bOHDRs2MHz4cCD3+ly+fJnp06czdOhQk26ndnZ2dOjQocjxzZo1i5o1a9K3b18WLFhQwrMsOav1KZ06dSpJSUmEhYWxefNm9u/fz9tvv81rr71Gy5YtC01gUfkci11Bg6+HU5N7nLdvjMNLB1g56wXmd3GnU/ohkv/4ndk3etE5sBVfju9I7KTO7P97CH41Cv62RgghhBA27kFG0X9y7sNT07HcmCR3+VPTc7crTrmP4MsvvyQwMBAnJycaNmzIkiVLiIqKKpW7dEeOHOH69euMHTvWZPmQIUNwd3dn27ZtJSrXMBJx3mddt23bRrNmzYyNScP6kSNH8uOPPxpHSHZzc7M400O7du2A3C6YjyI+Pp4uXbrg6upKw4YNiY6OtjiIVnFt374dRVHMruXYsWPJzMxk9+7dhe6/bds23N3dGTJkiNn+iYmJxgZ3SRw6dIgVK1bw8ccfP/KzkCVltTuUf/3rX9m3bx/R0dFMmTKFu3fvUq9ePV5++WXeeOMNmYdSAKDo9Rz59A06Xv4QNPCLayeajd+Iq3vuc5Gj+nZlVN+K1TVaCCGEEGXkbd+Hb1Mcn494+Db5Rd0t0aF2797NwIEDeeqpp9i0aRNarZZ33nnHOO1NXjqdrtDROg3s7OyMz7oZnifM35Xc0dGR5s2bF/l5Q0VR0Ol03L9/nx9++IGYmBiGDx9uMu1OQkICXbp0MdvXcOzTp0/j51fws6mG7p35pwEqjhs3bvDcc8/x+uuvExkZybZt23jjjTfw9fVl9OjRxu0sjSJsib29vbFhn5CQgLe3t9n0Uobze9i1TEhIoEWLFmYDTuXd/8knnzQuz8zMxMfHh9u3b1OnTh2eeeYZ5s2bZ3YXNDMzkxdeeIGpU6fy+OOPs2PHjiKdW2mzWoMScm/lduvWzZqHKFO3b982jsyXf54oUXzZWfc5ufx5Ot7N7cN/xOc52v1tKXYqfbtSXkneCTVI3gk1SN6JyiQiIgI/Pz+++eYb442WXr16mc0xCxAaGsrBgwcfWubzzz/PmjVrAIzzvFrqiunh4WGcQ/ZhNm3aZOymCbl31VasWGGyTXJycoHHyRuLJSdPnmThwoWEh4c/0nPUycnJ7Ny503i3s3v37sTFxbFhwwaTBmVBIznnt3r1asaMGWMs29L5ubm5UaVKlULPz7B//vlpIXewG8A47yvkzoEbFBRknKf44MGDvPfee+zbt4/4+HiTRwnffPNNdDodc+fOLdI5WYtVG5S2JjEx0Tj6nPyhezR3km6Q+NEg2uYkoFXs+KnVHDoMeV3tsMolyTuhBsk7oQbJO1Fss0swAImiwJo+cCMBFB2Kxg59rQCyh23D1c314fuXgoyMDI4dO8bEiRNNeu25u7vTv39/Y6PQ4KOPPjIbedMSSyN7lmRak7x69uxJfHw8aWlpHD58mH/9618kJyezbds2k5E/SzKdxqVLl+jXrx/16tXj448/LlI8BfHx8TE2Jg0CAwM5fvy4ybL4+PgildegQQOT1yWdLqSwbSzNyzpt2jSTbcLCwmjTpg2DBw9m5cqVxvU//vgjixcvZvfu3YUO2FMWpEEpytzV8yfQbBhKS+U6aYoLl0KX0/6pcLXDEkIIIURFU8X8ebwiCY2AdYMA0Ch6crq8AU5uUKVsGpSpqakoikLt2rXN1lla1rhx4yJ3eTXw9PQEcu+O5S8zJSWl0EFk8qpZsyZPPPEEkNv7sFGjRgwbNowvv/yS8PBw47Es3aVLSUkBLN8lvXz5Mt26dcPBwYF9+/YVOZ6CGM43LycnJ7P5lIODg4tUXt7nET09Pc0appD7xcCDBw8eGntB1yc1NRWwfH3yCg8Px83NjSNHjhiXjRs3joEDB/LEE09w584dALKysoDc6VmcnJyMd0CtrXxN9FjO+fv707BhQ/z9/dUOpcI6/cNOqq3vTV3lOomaWqQM+5rW0pgslOSdUIPknVCD5J0oM41CwbcNAEqdNjg061Gm43vUrFkTjUZj8XnJGzdumC0LDQ3F0dHxoT/jxo0z7tO6dWsATp06ZVKWVqvl3Llzxi6VxWW4C/jbb7+ZHCv/cfIeO/+xLl++TEhICIqicODAgTKd/aEo19HR0dFkLsjWrVtz+/Zts/emoPPLr3Xr1pw9e9bs+c1ff/0VKNqUSYqimHxhcPr0ab744gtq1qxp/PnXv/4FQKNGjSw+02otcoeyGGrUqKF2CBVa/PZ/E/RLBFU0On51aI7ni1vw9SmliYptmOSdUIPknVCD5J0oMxoNhEbCrploukfiUMTn6kqLm5sbTzzxBNu3b+edd94xNmbT09OJjY01274kXV7bt29PnTp1WLNmDUOHDjUu37JlC+np6QwcOLBEsR84cADIvWtqEB4ezvjx4zl69Cjt27cHchuu69ato3379vj6/m/wpCtXrhASEoJOpyMuLq7Mv0AqSZfXAQMGMGfOHD799FNmzpxpXL5mzRpcXFzo1atXoWWFh4ezcuVKtm7davJerFu3Dl9fXzp16lTo/lu2bOH+/fsmU4kY3oe81qxZw6effsr27dsLHQSptEmDUlidXqfj6Cev0/HP1aCBn9xDCBi/HmdX94fvLIQQQghhDY26wcQfVTv8vHnz6Nu3Lz179mTKlCnodDoWLVqEu7u7sauoQbNmzYpdvr29PQsXLmTUqFG8/PLLDB8+nPPnzzNjxgzCwsJMGkEHDx4kNDSUiIgIIiIigNxG7KFDh+jRowf16tUjIyODQ4cOsXTpUp588kkGDBhg3H/cuHF88MEHDBkyhOjoaGrVqsWyZcv49ddf2bt3r3G7W7du0a1bN65fv86qVau4deuWyYA0devWNblbaRigqKgDCBWFoftucQQEBPDCCy8QGRmJvb09bdu25dtvv2XFihUsWLDApMvqvHnzmDdvHvv27aNr19yZCnr37k1YWBivvvoq9+7do3HjxmzcuJHdu3ezbt06Y/fay5cvM2LECIYNG0bjxo3RaDQcPHiQxYsXExAQwIsvvmg8TkhIiFmccXFxAHTq1Mni87TWIg1KYVVZ99M5vXwkHdNyv0U57DeW9uNiZCRXIYQQQlRqvXr1YuvWrURERDB06FB8fHwYP348iYmJrF27tlSOMXLkSOzt7YmOjmbNmjV4eHgwevRo3nrrLZPtDFOD5B0cpnXr1sTGxvLGG2+QlJSEg4MDTZo0Yfbs2bz22msmU2A4OTmxb98+ZsyYwaRJk7h//z7BwcHs2rXL2KgCOHPmDBcvXjTGll9kZCRRUVHG1xkZGSZ3QtW0bNky/Pz8WLp0KTdu3KB+/fosWbKESZMmmWyn1+stTvPyn//8h3/84x9ERESQkpJC8+bN2bhxI8OGDTNuU61aNWrXrs27777LzZs30el0+Pv7M3nyZGbPnm1xDs/yQKMU5QlfK9Pr9Wa38atWrWrST7g80Gq1KIqCRqMxm0dGmEu+eY2klYNopj3HA8WeE23m0faZiWqHVeFI3gk1SN4JNUjeCUuuXr1KvXrWe0RGURRj3hV15FNrycnJITg4GD8/P7799ltVY1HbmTNnCAgIIDY2lr59+6odjlWonXuWfrdK0i6T2roYTp8+bRzOPCgoSO1wyrXLZ3/CcfMwmim3uIsb13qspG0n26wMrE3yTqhB8k6oQfJOqCEzM9P4od7VtWxGeTV44YUXCAsLo06dOty4cYMPP/yQs2fPsmTJkjKNozw6cOAAHTt2tNnGJKibe6VJGpSi1J36bhv1971KVU0m1zQ+6IdvIqBp0YZoFkIIIYSoLNLS0vj73//O7du3cXR05PHHH2fnzp10795d7dBUN2HCBCZMmKB2GKIIpEFZDNWqVUOr1Uo3nEL8uOVdHj81HweNnrOOAfi8tJWa3nXUDqtCk7wTapC8E2qQvBNqsLe3N94lKmubN28u82OK8kPN3CtNUmMXQ97hg4UpvU7Hjysn0eHGetDAsWphtB7/GU7OFff2fXkheSfUIHkn1CB5J9Tg5OSkdgiikrKV3JMGpXhkmRlpnFs2jA4Z3wNw+LGX6TAmGk05G1RJCCGEEEIIUbqkQSkeSVLiZVI/GUQb7XkeKA6cfOJtOvZ/We2whBBCCCGEEGVAGpSiUIqiEB8fz8mTJ7Gzs6N9+/YEBAQAcDHhKK5bRtCEJFKpxs0+q3iifQ+VIxZCCCGEEEKUFWlQFsPFixeNgwU0bNhQ7XCsbvdXW/hk+ftcvnLZuOwjoHnzFjzXPZDO19fgqsnmip0f9iO/oHnDAPWCtWGVLe9E+SB5J9QgeSfUkJ2dbRwYxVaeaRMVg63knjQoiyEtLc04P5at+2LHTkKOTaNXu3vQLv/aw3DjMGggwaEV9cZvp7qHtxphVgqVKe9E+SF5J9QgeSfUoNPpbGKkTVHx2EruyagpwsyDBw+YOnsuiXihV+9lesIAABiwSURBVApO8GSlKjnDt0hjUgghhBBCiEpKGpTF0KpVK9q0aUOrVq3UDsWqtm/fTlJSMjHaIdhplAK3m5YznnMXLpZhZJVTZck7Ub5I3gk1SN4JNbi4uODq6oqLi0uZH3vNmjVoNBo0Gg1xcXFm6xVFoXHjxmg0GkJCQso8PvE/iYmJREVFcfz48VIrU83cK03SoCwGe3t7448tO3ToEADf6QM5oW+ILt9dSp2i4YS+Id/pA/nll1/UCLFSqSx5J8oXyTuhBsk7URbu3r3L0qVL6dmzJx07dmTIkCHs2LEDnU6nWkxVq1Zl1apVZssPHjzI77//TtWqVVWISuSVmJjI3LlzS7VBafgyoaJ3eZVnKIWZnJyc//5Pw1ZtF4KqmN6FtNcoxOQMATRotdoyj08IIYQQoiTi4uIYNGgQKSkpJsu3bt3KX/7yF7766ivq1KlT5nENHTqU9evX88EHH1CtWjXj8lWrVtGxY0fu3btX5jGVpszMTJydnSt8w0lYJncohZkWLVoAEGZ3jFmOGwFQ/tvzVavYGe9OAjRoUL/sAxRCCCGEKKaEhAT69u1r1pg0+Omnn+jVqxdZWVllHBkMHz4cgI0bNxqX3b17l61btzJu3Diz7R88eMCCBQto3rw5Tk5OeHt7M3bsWG7fvm2y3aZNm+jRowd16tTBxcWFFi1aMGvWLDIyMky2u3jxIsOGDcPX1xcnJydq165NaGioyd04jUZDVFSUWSz169dnzJgxxteGbrzffvst48aNw9vbG1dXV7KzswE4f/48I0aMoFatWjg5OdGiRQs++OADkzLj4uLQaDRs2LCBmTNnUqdOHdzd3enfvz83b94kLS2Nl156CS8vL7y8vBg7dizp6ekmZSiKwrJlywgODsbFxYWaNWsyePBgLl40vVESEhJCq1atiI+Pp0uXLri6utKwYUOio6PR6/XGeNq2bQvA2LFjjXcVDdejKNfPlkmDshhSU1NJTk4mNTVV7VCs6rkRI5jR04+PHN/DVfOAk7oGGL5QctDoidHm3p0E6NK5i3qBVhKVJe9E+SJ5J9QgeSesaf78+dy/fx+AsLAwTpw4QU5ODl9++SX+/v4AnDx50qRRV1aqVavG4MGD+eSTT4zLNm7ciJ2dHUOHDjXZVq/XM2DAAKKjoxkxYgRff/010dHR7Nmzh5CQEDIzM43bnj9/nj59+rBq1Sp2797N1KlT2bx5M/379zcps0+fPvz0008sXLiQPXv2sHz5ctq0acOdO3dKfE7jxo3D0dGRtWvXsmXLFhwdHTlz5gxt27YlISGBmJgYYmNj6du3L5MnT2bu3LlmZcyePZtbt26xZs0aYmJiiIuLY/jw4QwaNIjq1auzceNGZsyYwdq1a5k9e7bJvi+//DJTp06le/fubN++nWXLlnH69GmefPJJbt68abLtjRs3eO655xg5ciQ7duygd+/evPHGG6xbtw6Axx9/nNWrVwMwZ84cDh8+zOHDh3nxxRcf6fpptVrjT4WmlAM6nU65c+eOyY9Op1M7LDPHjx9X4uPjlePHj6sditU8yM5Sjrw/SlEiqylKZDVl7T/ClYYztyvH3wxWlMhqyvE3gxX/mV8p/jNjFf+Zscqpa3fUDtnmVYa8E+WP5J1Qg+SdsOTKlSuPXEZqaqri4OCgAIq3t7eSkZFhXJeRkaHs2bNHARRA6dy58yMfr6hWr16tAEp8fLxy4MABBVASEhIURVGUtm3bKmPGjFEURVECAgKUrl27KoqiKBs3blQAZevWrSZlxcfHK4CybNkyi8fS6/VKTk6OcvDgQQVQTpw4oSiKoiQlJSmAsnjx4kJjBZTIyEiz5f7+/srzzz9vdk6jR48227Znz55K3bp1lbt375osnzhxouLs7KykpKQoiqIYr0X//v1Ntps6daoCKJMnTzZZ/swzzygeHh7G14cPH1YAJSYmxmS7q1evKi4uLsqMGTOMy7p27aoAytGjR022bdmypdKzZ0/ja8P1Xb16tcl2Rb1+lmRkZCjp6ekm+ViWLP1ulaRdJncohdG9O8mcfbc37ZO/RK9omJ8zkjnacehwYKF2KOf1fizUDsVwd9LJwY6ablXUDVoIIYQQ4iGuXLlivAvUu3dvXF1dTdZ36NCBWrVqAfD777+XeXwAXbt2pVGjRnzyySecOnWK+Ph4i91dY2NjqVGjBv379ze5wxUcHIyPj4/JaLEXL15kxIgR+Pj4YG9vj6OjI127dgXg7NmzAHh4eNCoUSMWLVrEu+++yy+//GLs6vkoBg0aZPI6KyuLffv2ER4ejqurq0nsffr0ISsriyNHjpjs069fP5PXhsey+vbta7Y8JSXF2O01NjYWjUbDyJEjTY7j4+NDUFCQ2Yi6Pj4+tGtnOvF6YGAgly9ffuh5Wuv6VSQyKE8x+Pn5odfrsbOzvXZ44qVfefDZYAL1V7ivOPFrp3cZ124Qnf64xo4dO/jttz+YZteV1q2rMb5fa6pXr05Ntyr41ajYwxxXBLacd6L8krwTapC8E9aSd1qGa9eumaxzdHQkLS2Nu3fvmm1bljQaDWPHjuX9998nKyuLpk2b0qWL+aNFN2/e5M6dO1SpYvlL/aSkJADS09Pp0qULzs7OLFiwgKZNm+Lq6srVq1cZOHCgsWusRqNh3759zJs3j4ULF/L666/j4eHBc889x1tvvVXiEWbzD26UnJyMVqtl6dKlLF26tNDYDTw8PExeG865oOVZWVm4u7tz8+ZNFEWhdu3aFo/TsGFDk9eenp5m2zg5OZl0Hy7Io1w/R0fHh5ZfEUiDshi8vLzUDsEqfj22H6/YMfhyl1t4cG/gWtoEdQbAr00Tnm7zusoRVm62mneifJO8E2qQvBPW0qhRI+rXr8+lS5fYv38/Bw4coFu3bkDuh/pFixYZB43p3r27anGOGTOGiIgIPvzwQ9566y2L23h5eeHp6cnu3bstrjc0YPbv309iYiJxcXHGu5KAxef6/P39jdOW/Pbbb2zevJmoqCgePHjAhx9+COQ2sAzXKK/k5GSLceQf0bVmzZrY29szatQoJkyYYHGfBg0aWFxeXF5eXmg0Gg4dOoSTk5PZekvLHkVRrp8l0qAUNuGnnasJODodZ00Ov9s3wH3sVhrXbaR2WEIIIYQQpcbOzo6JEyfy97//HcgdlGfw4MG0bNmSb775hh9++AHIbQQV1NgpC35+fkyfPp1z587x/PPPW9ymX79+fP755+h0Otq3b19gWYYGXf7G00cffVRoDE2bNmXOnDls3bqVn3/+2bi8fv36nDx50mTb/fv3m42uWhBXV1e6devGL7/8QmBgYIF3WEtDv379iI6O5s8//+TZZ58tlTIN1/Fhdy0Lun62TBqUlZSi13Nk7Rw6/vEBaOC4SweajN+EW9UaaocmhBBCCFHqJk+ezL59+9i1axc6nY5NmzaZbbNo0SICAwNViO5/oqOjC10/bNgw1q9fT58+fZgyZQrt2rXD0dGRa9euceDAAQYMGEB4eDhPPvkkNWvW5JVXXiEyMhJHR0fWr1/PiRMnTMo7efIkEydOZMiQITRp0oQqVaqwf/9+Tp48yaxZs4zbjRo1ijfffJOIiAi6du3KmTNn+Pe//0316tWLfG5Lliyhc+fOdOnShVdffZX69euTlpbGhQsX+Oqrr9i/f3/xLlYBOnXqxEsvvcTYsWM5duwYTz31FG5ubly/fp3vv/+e1q1b8+qrrxarzEaNGuHi4sL69etp0aIF7u7u+Pr6kpSUVKTrZ8ukQVkJPcjO4vjysXS8sxOAI7Wepe1Ly7F3kHQQQgghhG1ydHRk+/btLFiwgGXLlpl01WzZsiURERFmU3SUR/b29uzYsYMlS5awdu1a/vnPf+Lg4EDdunXp2rUrrVu3BnKfC/z66695/fXXGTlyJG5ubgwYMIBNmzbx+OOPG8vz8fGhUaNGLFu2jKtXr6LRaGjYsCExMTFMmjTJuN306dO5d+8ea9as4Z133qFdu3Zs3ryZAQMGFDn2li1b8vPPPzN//nzmzJnDrVu3qFGjBk2aNKFPnz6ld5HIvRPboUMHPvroI5YtW4Zer8fX15dOnTqZDcBTFK6urnzyySfMnTuXHj16kJOTQ2RkJOPHjy/S9bNlGkUxTFmvHr1eT1pamsmyqlWrlruH8g3zFTk6OhIUFKR2OCVyN+U21z4cRMCDE+gUDcdazqL90Mrx7UlFZQt5JyoeyTuhBsk7YcnVq1epV69eqZZpGFH03r17eHp6EhQUhJ2dndnor0JY0/3791EUBY1Go0ruWfrdKkm7TG5JVSJ/XjyNbt0QAvR/kqE4cyHk37TvNkTtsIQQQgghypSzszMhISHA/z7UCyFKRhqUxWCYM8ehAnYNPXv0G3x2vUBN0riBF/eHbCCoVcEPcovyoyLnnai4JO+EGiTvhBrs7OyMd4mEKEu2kntSYxdDkyZN1A6hRI599RGBx2ZTRaPlvEMTao7bSkNff7XDEkVUUfNOVGySd0INkndCDc7OzmqHICopW8k9aVDaMEWv58iamXS8sgI08LNbF1qM34iLW8kmqBVCCCGEEEKIvKRBaaOys+5zatkoOt7bC8DhOiNp/+L72NnbqxyZEEIIIYQQwlZIg9IGpd6+zo0Vg3gi5zQ5ij2/tJ5Dx8GvqR2WEEIIIUSJ2MJzZkKUJ6U5EJU0KIvhypUrxsECHnvsMbXDsejKb8ex2ziUFsoN7uHK5dAPafdU0ecHEuVPRcg7YXsk74QaJO+EJU5OTmRmZlptWoXs7GyTYwlRVtTMvfT09FL7nSpfEz2Wc6mpqaSkpJCamqp2KBYl/N9X1NjQh7rKDRI1tUkd9jWtpTFZ4ZX3vBO2SfJOqEHyTlji6elJUlISOTk5Vilfp9Oh1WrR6XRWKV+IgqiRe4qikJaWRmpqKjVq1CiVMuUOpY34cdv7tDkehaNGxzmHFnj/bQu+teuqHZYQQgghxCOxt7fH29ubW7duodfrS738tLQ0Y5faqlVl4EJRdtTKPVdXV/z8/LAvpbFVNEo5mMlVr9eTlpZmsqxq1arY2ZWvG6jZ2dnGN728dInQ63QcXTWNjomfAvBT1acJGL8OZxc3lSMTpaU85p2wfZJ3Qg2Sd0INkndCLeUx90rSLpM7lMWg1ht948YN9u7dS0ZGBv7+/oSGhuLo6EjW/XTOLBtBx/SDAByp+wLtxi6SkVxtTHmpYETlInkn1CB5J9QgeSfUYiu5Z/UG5ffff8/bb7/N4cOHycrKom7duowePZo333zT2oeu8H49/TMr3o/h8OHD6PT/61v9Xs2aPPvX3nTN3M3j+os8UOw50WY+HZ6ZoGK0QgghhBBCiMrGqg3KDRs2MGrUKJ599lk+++wz3N3d+f3330lMTLTmYW3Cr39cxWPTAGLq3IOB+dfegYxl//2fG4m9VtG2Y+8yj1EIIYQQQghRuVntGco///yTZs2aMXr0aJYtW1botjqdjvT0dJNlbm5u5e4Zyrz9ia394OzkyH/xsus3tNBcwU5j+S3KVhzYFRDDM337WTUWoa6yzDshDCTvhBok74QaJO+EWspj7un1ejIyMkyWubu7FzqAj9UalHPnziUqKopLly7h7+9f6LZardYscCGEEEIIIYQQ6nJzc8PBoeCOrVa7Bfjdd9/h4eHBuXPnCA4OxsHBgVq1avHKK69w7949ax1WCCGEEEIIIUQZsVqD8s8//+T+/fsMGTKEoUOHsnfvXqZPn85nn31Gnz59KAezlQghhBBCCCGEeARWG5RHr9eTlZVFZGQks2bNAiAkJIQqVaowdepU9u3bR/fu3a11eCGEEEIIIYQQVma1BqWnpyfnz5+nZ8+eJst79+7N1KlT+fnnn40NSjs7O9zc3Ey202g0aDQaa4UnhBBCCCGEECIPRVHMepI+bKBUqzUoAwMDOXLkiNlyQ4B5A7Ozsyt3I7oKIYQQQgghhCic1VpxgwYNAmDXrl0my3fu3AlAhw4drHVoIYQQQgghhBBlwGp3KHv06EH//v2ZN28eer2eDh06cOzYMebOnUu/fv3o3LmztQ4thBBCCCGEEKIMWLWf6aZNm5g6dSorVqygd+/eLF++nGnTprFlyxZrHrZUpaenM3XqVHx9fXF2diY4OJjPP/9c7bCEjYuLizM+R5z/x1JXciGKKy0tjRkzZtCjRw+8vb3RaDRERUVZ3NbwzLu7uzs1atRg4MCBXLx4sWwDFjajqLk3ZswYi3Vg8+bNyz5oUaHt37+fcePG0bx5c9zc3PDz82PAgAH89NNPZttKfSdKS1HzzhbqOqvdoQRwcXEhOjqa6Ohoax7GqgYOHEh8fDzR0dE0bdqUDRs2MHz4cPR6PSNGjFA7PGHj3n77bbp162ayrFWrVipFI2xJcnIyK1asICgoiGeeeYaPP/7Y4nbnzp0jJCSE4OBgNm/eTFZWFhEREXTp0oXjx4/j7e1dxpGLiq6ouQe5nyP2799vtkyI4li+fDnJyclMmTKFli1bcvv2bWJiYujQoQPffPMNTz/9NCD1nShdRc07sIG6ThEF+vrrrxVA2bBhg8nysLAwxdfXV9FqtSpFJmzdgQMHFED54osv1A5F2Ci9Xq/o9XpFURTl9u3bCqBERkaabTdkyBDFy8tLuXv3rnHZpUuXFEdHR2XGjBllFa6wIUXNveeff15xc3Mr4+iELbp586bZsrS0NKV27dpKaGiocZnUd6I0FTXvbKGuk6FVC7Ft2zbc3d0ZMmSIyfKxY8eSmJjI0aNHVYpMCCEeTVGmZtJqtcTGxjJo0CCqVatmXO7v70+3bt3Ytm2btcMUNkimBRNlrVatWmbL3N3dadmyJVevXgWkvhOlryh5ZyukQVmIhIQEWrRogYODac/gwMBA43ohrGnChAk4ODhQrVo1evbsyffff692SKIS+f3338nMzDTWeXkFBgZy4cIFsrKyVIhMVBaZmZn4+Phgb29P3bp1mThxIikpKWqHJWzA3bt3+fnnnwkICACkvhNlI3/eGVT0us6qz1BWdMnJyTRs2NBsuYeHh3G9ENZQvXp1pkyZQkhICJ6enly4cIFFixYREhLC119/Tc+ePdUOUVQChjrOUOfl5eHhgaIopKamUqdOnbIOTVQCQUFBBAUFGZ8bP3jwIO+99x779u0jPj4ed3d3lSMUFdmECRPIyMjgH//4ByD1nSgb+fMObKOukwblQxTWLUe67AhradOmDW3atDG+7tKlC+Hh4bRu3ZoZM2ZIg1KUKakHhRqmTZtm8josLIw2bdowePBgVq5cabZeiKJ68803Wb9+PUuXLuUvf/mLyTqp74S1FJR3tlDXSZfXQnh6elq8C2m4BW3pWywhrKVGjRr069ePkydPkpmZqXY4ohLw9PQELPfGSElJQaPRUKNGjbIOS1Ri4eHhuLm5yfRJosTmzp3LggULeOutt5g4caJxudR3wpoKyruCVLS6ThqUhWjdujVnz55Fq9WaLD916hQg0zeIsqcoCiDfkoqy0ahRI1xcXIx1Xl6nTp2icePGODs7qxCZqMwURcHOTj6+iOKbO3cuUVFRREVFMXv2bJN1Ut8Jayks7wpTkeq6ihGlSsLDw0lPT2fr1q0myz/99FN8fX1p3769SpGJyig1NZXY2FiCg4Plj5ooEw4ODvTv35///Oc/pKWlGZdfuXKFAwcOMHDgQBWjE5XRli1buH//Ph06dFA7FFHBzJ8/n6ioKObMmUNkZKTZeqnvhDU8LO8KUtHqOnmGshC9e/cmLCyMV199lXv37tG4cWM2btzI7t27WbduHfb29mqHKGzUiBEjeOyxx3jiiSfw8vLi/PnzxMTEcPPmTdasWaN2eMJG7Nq1i4yMDOOHpzNnzrBlyxYA+vTpg6urK3PnzqVt27b069ePWbNmGSf69vLy4vXXX1czfFGBPSz3bt++zYgRIxg2bBiNGzdGo9Fw8OBBFi9eTEBAAC+++KKa4YsKJiYmhoiICHr16kXfvn3NuhEaPrRLfSdKU1Hy7vLly7ZR16k6C2YFkJaWpkyePFnx8fFRqlSpogQGBiobN25UOyxh4/75z38qwcHBSvXq1RV7e3vF29tbCQ8PV3788Ue1QxM2xN/fXwEs/vzxxx/G7Y4dO6aEhoYqrq6uSrVq1ZRnnnlGuXDhgnqBiwrvYbmXkpKihIeHK/Xr11dcXFyUKlWqKE2aNFFmzJih3LlzR+3wRQXTtWvXAvMt/0dhqe9EaSlK3tlKXadRlP8+lCWEEEIIIYQQQhSDPEMphBBCCCGEEKJEpEEphBBCCCGEEKJEpEEphBBCCCGEEKJEpEEphBBCCCGEEKJEpEEphBBCCCGEEKJEpEEphBBCCCGEEKJEpEEphBBCCCGEEKJEpEEphBBCCCGEEKJEpEEphBBCCCGEEKJEpEEphBBCCCGEEKJEpEEphBBCCCGEEKJE/h8gF/cwqpffDgAAAABJRU5ErkJggg==\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "zs = [5,6,7,8,9,9,9,9,9,10,11,12,13,14,\n", " 15,16,16,16,16,16,16,16,16,16,16,16]\n", "data1 = g_h_filter(data=zs, x0=4., dx=1., dt=1., g=.302, h=.054)\n", "data2 = g_h_filter(data=zs, x0=4., dx=1., dt=1., g=.546, h=.205)\n", "\n", "book_plots.plot_measurements(zs)\n", "book_plots.plot_filter(data2, label='g=0.546, h=0.205', marker='s', c='C0')\n", "book_plots.plot_filter(data1, label='g=0.302, h=0.054', marker='v', c='C1')\n", "plt.legend(loc=4)\n", "plt.ylim([6, 18]);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Varying $h$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now let's leave $g$ unchanged and investigate the effect of modifying $h$. We know that $h$ affects how much we favor the measurement of $\\dot{x}$ vs our prediction. But what does this *mean*? If our signal is changing a lot (quickly relative to the time step of our filter), then a large $h$ will cause us to react to those transient changes rapidly. A smaller $h$ will cause us to react more slowly.\n", "\n", "We will look at three examples. We have a noiseless measurement that slowly goes from 0 to 1 in 50 steps. Our first filter uses a nearly correct initial value for $\\dot{x}$ and a small $h$. You can see from the output that the filter output is very close to the signal. The second filter uses the very incorrect guess of $\\dot{x}=2$. Here we see the filter 'ringing' until it settles down and finds the signal. The third filter uses the same conditions but it now sets $h=0.5$. If you look at the amplitude of the ringing you can see that it is much smaller than in the second chart, but the frequency is greater. It also settles down a bit quicker than the second filter, though not by much." ] }, { "cell_type": "code", "execution_count": 36, "metadata": { "scrolled": false }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "zs = np.linspace(0, 1, 50)\n", "\n", "data1 = g_h_filter(data=zs, x0=0, dx=0., dt=1., g=.2, h=0.05)\n", "data2 = g_h_filter(data=zs, x0=0, dx=2., dt=1., g=.2, h=0.05)\n", "data3 = g_h_filter(data=zs, x0=0, dx=2., dt=1., g=.2, h=0.5)\n", "\n", "book_plots.plot_measurements(zs)\n", "book_plots.plot_filter(data1, label='dx=0, h=0.05', c='C0')\n", "book_plots.plot_filter(data2, label='dx=2, h=0.05', marker='v', c='C1')\n", "book_plots.plot_filter(data3, label='dx=2, h=0.5', marker='s', c='C2')\n", "plt.legend(loc=1);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Interactive Example\n", "\n", "For those of you running this in Jupyter Notebook I've written an interactive version of the filter so you can see the effect of changing $\\dot{x}$, $g$ and $h$ in real time. As you adjust the sliders for $\\dot{x}$, $g$ and $h$ the data will be refiltered and the results plotted for you.\n", "\n", "If you really want to test yourself, read the next paragraph and try to predict the results before you move the sliders. \n", "\n", "Some things to try include setting $g$ and $h$ to their minimum values. See how perfectly the filter tracks the data! This is only because we are perfectly predicting the weight gain. Adjust $\\dot{x}$ to larger or smaller than 5. The filter should diverge from the data and never reacquire it. Start adding back either $g$ or $h$ and see how the filter snaps back to the data. See what the difference in the line is when you add only $g$ vs only $h$. Can you explain the reason for the difference? Then try setting $g$ greater than 1. Can you explain the results? Put $g$ back to a reasonable value (such as 0.1), and then make $h$ very large. Can you explain these results? Finally, set both $g$ and $h$ to their largest values. \n", " \n", "If you want to explore with this more, change the value of the array `zs` to the values used in any of the charts above and rerun the cell to see the result." ] }, { "cell_type": "code", "execution_count": 37, "metadata": { "scrolled": false }, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "3ba213859e934463a5aa61bd095dd71b", "version_major": 2, "version_minor": 0 }, "text/plain": [ "interactive(children=(FloatSlider(value=0.0, continuous_update=False, description='x', max=200.0, min=-200.0),…" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from ipywidgets import interact\n", "\n", "# my FloatSlider returns an ipywidgets.FloatSlider with\n", "# continuous_update=False. Filtering code runs too slowly\n", "# to instantly react to slider changes.\n", "from kf_book.book_plots import FloatSlider\n", "\n", "zs1 = gen_data(x0=5, dx=5., count=100, noise_factor=50)\n", "\n", "fig = None\n", "def interactive_gh(x, dx, g, h):\n", " global fig\n", " if fig is not None: plt.close(fig)\n", " fig = plt.figure()\n", " data = g_h_filter(data=zs1, x0=x, dx=dx, g=g, h=h)\n", " plt.scatter(range(len(zs1)), zs1, edgecolor='k', \n", " facecolors='none', marker='o', lw=1)\n", " plt.plot(data, color='b')\n", "\n", "interact(interactive_gh, \n", " x=FloatSlider(value=0, min=-200, max=200), \n", " dx=FloatSlider(value=5, min=-50, max=50), \n", " g=FloatSlider(value=.1, min=.01, max=2, step=.02), \n", " h=FloatSlider(value=.02, min=.0, max=.5, step=.01));" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Don't Lie to the Filter\n", "\n", "You are free to set $g$ and $h$ to any value. Here is a filter that performs perfectly despite extreme noise." ] }, { "cell_type": "code", "execution_count": 38, "metadata": { "scrolled": false }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "zs = gen_data(x0=5., dx=.2, count=100, noise_factor=100)\n", "data = g_h_filter(data=zs, x0=5., dx=.2, dt=1., g=0., h=0.)\n", "\n", "book_plots.plot_measurements(zs)\n", "book_plots.plot_filter(data, label='filter')\n", "plt.legend(loc=1);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "I brilliantly extracted a straight line out of very noisy data! Maybe I shouldn't try to collect my Fields Medal in mathematics just yet. I did this by setting both $g$ and $h$ to 0. What does this do? It makes the filter ignore the measurements, and so for each update it computes the new position as $x + \\Delta x \\Delta t$. Of course the result is a straight line if we ignore the measurements. \n", "\n", "A filter that ignores measurements is useless. I know you would never set both $g$ and $h$ to zero as that takes a special kind of genius that only I possess, but I promise that if you are not careful you will set them lower than they should be. You can always make great looking results from test data. When you try your filter on different data you will be disappointed in the results because you finely tuned the constants for a specific data set. $g$ and $h$ must reflect the real world behavior of the system you are filtering, not the behavior of one specific data set. In later chapters we will learn a lot about how to do that. For now I can only say be careful, or you will be getting perfect results with your test data, but results like this once you switch to real data:" ] }, { "cell_type": "code", "execution_count": 39, "metadata": { "scrolled": false }, "outputs": [ { "data": { "image/png": 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JLqu1fuFRan3MLq3lcEkdJTUGCqusP5sO2S4W7uuhJSnUh+RQb5JCfOgR5kNS6IlAVto/4UhS/4SjpKeno9Vqqa+vR6/X26T1mvezg0pl68grV7f5mGeeeYZLL72UBx98kJdffpkxY8bg6+vL0qVLT3tceHg4P/30E1dddRX33HMPM2bMAFCXm9q7dy/Dhg0jJiaG119/nbCwMH7++WdmzZpFSUkJ8+fPt8lv7ty5DB06lPfeew8XFxdCQkLafC5dWX19vRqwnlz/nIkErEJ0QrUGE5nFNRwqOvGTWVxDdmndaWeoDfFxJy7Ii5ggvXVIZ5AXscfvS8w+uK/ZB7ae5/FsRGfip9fRT+9Pv6iWk9RU1hvVepnZVDeLa8gtq6OqwcQf2eX8kV1uc4y/XkdyiA+BWgPRPi4kd/Okh9Esy/UIIUQnlpiYSK9evQBISkpiyJAhrTrO3d2diy++GICoqKgWxz366KP4+PiwceNGfH2tX6yOHz8eg8HAK6+8wqxZswgICLApx//93/+1xykJB5KA1Yn4+vpiMplkOJJQ1TWaOFhYw4HCag4cqyajsJrMohryK089I6ynzpX4YC8SunmR2M1bfYwP9jrtZDnlUv/EOfLz1HFRTAAXxQTYbG8wmjlcUsvBohoOFlrrcUZhDdmltVTUGfn9SFmzvauZs+pnkkK86R3hR59IX/pE+tEz3BdvmexJdBB5/xWO4uvrS2NjI66uLb+k2/v8lQ4okfNqaGhg9erVzJw5E71ej8l0Ysj0xIkTWbBgAVu3bmXChAnq9ptuuskRRe00XF1d1R5WZyYtsxOxN2ZfXBhMZguHS2rZf8wamB44/qE+p6zulLPvBnu7kdh0n+Dxx+4h3oT5epzVvaRS/0RH8dC50jPcl57htsOMG4xmMotr1C9l9uZXkZZXSWltI/uPVbP/WDXLdlr31WggIdiLflH+9Ivyo1+UP70jfKUnVrQLaf+Eo8THx5Obm4u7u3uLtLO5d7QrKy0txWQy8fbbb/P222/b3aekpMTm9/Dw8PNRtE7LXr1zRvKfIMR5Vt1gZP8x64fzfQVV7C2o4sCxagwmi939g73d6RHmTXKoD8mhPiQdD1ADvDrHYs9CnIqHzpXeEX70jvBTtymKQmGVgbS8StLyK0nLqyI9v5KCygYyi2vJLK7lm115AGhdNCSH+tA/2o++kf4MjPEnOdSn3dfUFUII4XgBAQG4uroydepUmwmWmjv5yydn7zkUrSMBqxAdqPz40iB78ipJy6skPb+KnLI6u/vq3VzpEeZDSpg1MO0R5kOPUB+CvDvHt19CtAeNRkOYnwdhfh5c3itU3V5SY2DP0UpSj1aw+2glu49WUFLTyN7jX/p8RS4APu5aBsYGMCg2gIvjAhgQ7S+9FEII0Yk09frV19fbbNfr9YwZM4Zdu3bRr18/3Nzki/sLhbyLC9FOmgene45aH/Mq6u3uG+7nQa/jQyR7RVgfYwP1siyMEKcQ7O3OmJQQxqRYZ3hUFIWCygZ2H60g9WglqbkVpOZWUG0wsSGjmA0ZxQC4umjoHeHLxbEBXBoXyKD4QILlSyAhhHBaPj4+xMbGsnz5csaNG0dgYCDBwcHExcXx5ptvMmLECEaOHMnMmTOJi4ujurqaQ4cOsWLFCtasWePo4osOIAGrE8nKylInfUhISHB0ccRpVDUYScurZPdRa3C6O6+C3DL7wWlckJ4+kX70jfSjT6QfvcJ9nXI4r9Q/4UhtrX8ajYYIf08i/D25qo/1HiWT2cL+Y9XsOFLGjuMzEluDWuv/6iebjgCQ2M2LwQlBDI4P5NL4QML9PDvy1EQnIO2fcJSsrCyMRiMGg6HT3E94Pnz00Uc8/vjjXHvttRgMBnUd1l69erFz505eeOEFnn76aYqKivD39ycpKYmJEyc6utidjsFgUCddcub6p1GUU03p0rW0dYFaR0hNTZV14JxQo8nC3oIqduWUk5pbwe68SrKKa+3uGxekp2+UP32Pz2zaO8IPP0/deS7x2ZH6Jxypo+pfXkW9NYA9Us72I2XsP1bdYp+YQD2XxgcyNCGI4d2DCfPzaLe/LzoHaf+Eo6SmpqLVaomPj3fqdTBF11RXV9eh67Dm5uYSHR3dYntb4zLpYRWiGUVRyKuoZ1dOBbtyKvgzt5y0/Coa7UyIFOnvqc5W2i/K2nvaWYJTIS4Ukf6eRA6I5LoBkQBU1DXy++Ey68+RMtLyKskpqyOnrI6v/zgKQPcQb0Z0D2Z492AGJwTi6yH/10IIIYSjSA+rE/Wwms1m9bm99bhE+zOaLaTnV6k9MH/klFNcbWixX4Bex8CYAPpH+dMv2o9+kX5dbjIkqX/CkRxV/6objPyRXc62w2VsPlTC7rxKm6WkXF009I/yY0T3YEYkdWNgjD86V+d53xDtQ9o/4Shms5m8vDyio6NlRltx3jUPAzui/rVXD6sErE4UsIqOV91gZGdOhRqg7sotp8Fo23uqddHQK8KXgdH+DIjxZ2B0ALFBenkjEeICUFHXyNasUjYeKmHzoVKySmyH//u4axnWPYhRySFclhxMVIAM4RNCnJtTfagXorOTgLWNJGC9MOVX1LMju1wNUPcfq8JyUo331+u4JDaAS+ICuTg2gL6Rfnjo5Bt2IYT1HthNh0rYeLCEjYdKKKtttElP7ObFZcndGJXcjSEJQdJ2CCHaTAJW0VVJwNpGErB2fWaLwoFj1fyRXcb2I9YZQu0tKxMTqOeSuAAGxQUyKC6AhGBvWU5GCHFGFotCWn4l6w8Usz6jmF25FZibfQPmoXNhRPdgxvUMZVxKCCG+MnmTEOLMJGAVXZUErG3UGQLW8vJyLBYLLi4uBAQEOLo4Ts9sUdhXUMXWrFK2ZpXx++FSqhpMNvs0X4NxUFwgl8QGyIfIU5D6JxypM9a/ynojmw+VsOFgMesOFFNQ2WCT3i/Kj3EpoYzrGULvCF+5rcCJdcb6J7qG8vJyysvLiYmJQauVuVDF+WUynfjc3BH1T2YJ7oJycnLUafXlDbOl1gSoXm6uXBQbwCWx1t7T/tH+eLlLNW8NqX/CkTpj/fPz1DGhbzgT+oajKAr7CqpZva+QVfuLrEtgHV//9d+rMgj38+DynqFM6BPGpfGBaGXiJqfSGeuf6BpycnLQarU0NjZKwCrOu8bGRnVZG2euf85bMnHBUxSFI6V1xyc/KWFzZimV9UabfbzdtVwaH8iQhECGJATRK9xXPggKIc47jcY6WVuvCF8eHpdEUXUDa/cXsWpfERsPllBQ2cDnW7P5fGs2AXod43uFclWfMIZ3D8ZdK/e9CiGEEKciQ4KdaEhwSUmJOiQpODjY0cVxiOJqA5szrROcbM4sbXEPqgSoHUfqn3Ckrlz/GoxmNmeW8HNaIb/sPUZ53Ykv3rzdtYxNCWFCnzBG9eiG3k2+R3aErlz/hHMrKSmhsrKSmJgYdDpZ81mcX0bjifejjqh/cg9rG3WGgPVCVN1gZFtWGZsyrUtIHCi0fY3cXF24KNafEd2DGd49mL6RfhKgCiE6LZPZwu9Hyvgp7Rg/px+jsOrEus+eOlfGpoQwsW84Y1IkeBXiQiGTLomuSgLWNpKA1TkYTGZ2ZlewObOETYdKSD1aaTPLpkYDvSN8GZ5oDVAHxQXi6SbD5YQQXY/ForArt4Kf04/xY1oBuWUnRpR46lwZk9KNq/tGSPAqRBfXlQPWhQsXMn36dADWrl3L6NGjbdIVRSEpKYnMzExGjRrFunXrzn8hBQD5+fn897//5frrr2fAgAHtkqdMuiQ6BYtFYd+xKus6hodK+f1wKQ1Gi80+cUF6hnUPZnhiMEMTgwj0cnNQaYUQ4vxxcdFwcWwAF8cGMHdCCml5VXy/J5+Ve6zB68o9x1i55xgeOhfGpoRwTb8IxqaEyFqvQogz+vPPP9m0aRNGo5E+ffowduxYh3bS+Pj48NFHH7UIWNevX09mZiY+Pj6OKZhQ5efn89xzzxEXF9duAWt7kYBVtLu8ino2Hixm46FSNh8qobS20SY92Nud4d2DGJ4YzLDuQUQF6B1UUiGEcA4ajYa+UX70jfJjzlWnDl593LVc2SeM6wdEMjQxCFdZQ1oI0cyePXu477772LJli832hIQE/v3vf3Pttdc6pFy33XYbixYt4p133sHX11fd/tFHHzF06FCqqqocUq72Ul9fj4eHhyxf1kFkPKwTSU1NZceOHaSmpjq6KG1S32hmzf5C5i1PY8y/1jH8lTU8uWwPK1LzKa1tRO9mvS/rmWt68dMjI9n+93G8eftAbh0ULcGqE+ms9U90DVL/TmgKXudO6MmGx8ew4qER3DcqgQg/D6oNJr7+4yh3frSNIf9YzXMr0knNreACubunw0j9E46SmppKVVUVdXV155xXWloaI0eObBGsAmRlZXH99dezdOnSc/47Z2Py5MkAfPXVV+q2yspKli1bxt13391i/8bGRl588UVSUlJwd3enW7duTJ8+neLiYpv9lixZwhVXXEF4eDienp707NmTOXPmUFtba7NfVlYWt99+OxEREbi7uxMaGsq4ceP4888/1X00Gg3PPvtsi7LExcUxbdo09feFCxei0Wj45ZdfuPvuu+nWrRt6vR6DwTonwcGDB7njjjsICQnB3d2dnj178s4779jkuW7dOjQaDV9++SVPPvkk4eHheHt7M2nSJAoLC6murubee+8lODiY4OBgpk+fTk1NjU0eiqLw7rvvMmDAADw9PQkICODmm28mKyvLZr/Ro0fTp08ftm/fzsiRI9Hr9SQkJPDKK69QU1NDbW0tP/30E4MGDQJg+vTpaDQam+vRmuvXkaSHVbSZoihkFtey7kAR6zOK2Xa4jEbTiWG+ri4a+kf5MSKpGyO6BzMg2h83rXw3IoQQbdW85/XJK1PYkV3O8j/z+GFPAcXVBj7ZdIRPNh0hLkjP9QMjuXFgFDFB8kWgEBei+++/n8rKSgCSk5OZOXMmPj4+fP7556xfvx5FUbj33nuZOHEi3t7e57Vsvr6+3HzzzXz88cfcd999gDV4dXFx4bbbbuONN95Q97VYLFx33XX89ttvPPHEEwwbNozs7Gzmz5/P6NGj2bFjB56enoA1OJw4cSKPPPIIXl5e7N+/n1dffZXff/+dNWvWqHlOnDgRs9nMa6+9RkxMDCUlJWzevJmKioqzPqe7776bq6++ms8//5za2lp0Oh179+5l2LBhxMTE8PrrrxMWFsbPP//MrFmzKCkpYf78+TZ5PPXUU4wZM4aFCxdy5MgR/va3vzF58mS0Wi39+/fnq6++YteuXTz11FP4+Pjw1ltvqcfed999LFy4kFmzZvHqq69SVlbG888/z7Bhw0hNTSU0NFTd99ixY0yZMoXHHnuM+fPn88033zB37lyCgoK44447GDBgAJ988gnTp0/n6aef5uqrrwYgKiqqw65fmygXCLPZrFRUVNj8mM1mRxfLRkZGhrJ3714lIyPD0UVpoabBqPyafkz5+ze7leGvrFZin/ze5mfYP1YrT/1vt/JTWoFSWd/o6OKKs+DM9U90fVL/2sZgNCur9x1TZn21U0l5+keb9vjm/2xSvtyWLW1xG0j9E46SkZGh7Nu3T6mvrz+nfFJTUxVAAZSkpCSlurpaTbNYLMpNN92kpr/33nvnWuxW++STTxRA2b59u7J27VoFUNLS0hRFUZRBgwYp06ZNUxRFUXr37q2MGjVKURRF+eqrrxRAWbZsmU1e27dvVwDl3Xfftfu3LBaLYjQalfXr1yuAkpqaqiiKopSUlCiA8sYbb5y2rIAyf/78FttjY2OVu+66q8U5/eUvf2mx75VXXqlERUUplZWVNtsfeughxcPDQykrK1MURVGvxaRJk2z2e+SRRxRAmTVrls3266+/XgkMDFR/37JliwIor7/+us1+ubm5iqenp/LEE0+o20aNGqUAyrZt22z27dWrlzJ+/Hilrq5Oqa+vV6/vJ598YrNfa6+fPTk5OXa3tzUukx5WJ5KUlOToIqgUReFgUQ3rDxSzLqOI7YfLaTSf6EV1c3Xh0vhARvfoxuge3Ujs5i3j9js5Z6p/4sIj9a9t3LQujE0JZWxKKHWNJn5JL2TZzqNsOlTC9iPlbD+Ir2U6AAAgAElEQVRSzvzv0rmiVyg3XRTFyKRgWRLsNKT+CUdJSkoiNzcXDw+Pc8pn8+bN6vP777/fpgdVo9Hw6KOPsmzZMnXfpl7O82nUqFEkJiby8ccfM23aNLZv387rr7/eYr/vv/8ef39/Jk2ahMlkUrcPGDCAsLAw1q1bx8yZMwHrUNWnn36aNWvWUFRUZHN7xL59++jXrx+BgYEkJibyz3/+E7PZzJgxY+jfv/85T0J100032fze0NDA6tWrmTlzJnq93qbsEydOZMGCBWzdupUJEyao26+55hqbPHr27Amg9nA23/7tt99SU1ODt7c333//PRqNhjvvvNPm74SFhdG/f/8Wsy2HhYVx6aWX2mzr168ff/75p9pbfSoddf3aQgJWoaoxmNh4sIT1GcWsP1BEfmWDTXp0oCejk0MY3aMbQxODZJkFIYRwAno3LdcPjOT6gZEcq2xg+Z95LNt5lIzCGr7fXcD3uwsI9nbjugGR3HxxFD3Dfc+cqRCiU2ketHh5ebVIbx7ANt/3fNJoNEyfPp233nqLhoYGkpOTGTlyZIv9CgsLqaiowM3N/qoRJSUlANTU1DBy5Eg8PDx48cUXSU5ORq/Xk5uby4033kh9fb36d1evXs3zzz/Pa6+9xmOPPUZgYCBTpkzhpZdeOusZisPDw21+Ly0txWQy8fbbb/P222+ftuxNAgMDbX5vOudTbW9oaMDb25vCwkIURbEZ9ttcQkKCze9BQUEt9nF3d1ev0el01PVrC4k4LmCKopBRWMO6A0WsO1DM9iNlmJqtieqmdWFIQhCjk629qPHBXtKLKoQQTizMz4P7RiVy72UJpOdXsWznUb77M5+SmkY+2niYjzYeple4LzdfHMV1AyII8nZ3dJGFEO2gT58+6vPPPvuMv/71rzY9YAsXLlSf9+3b93wWzca0adOYN28e7733Hi+99JLdfYKDgwkKCuKnn36ym94UIK1Zs4b8/HzWrVvHqFGj1HR791XGxsby0UcfAZCRkcHSpUt59tlnaWxs5L333gOsAVzTxEnNlZaW2i3HyZ+JAwICcHV1ZerUqTz44IN2j4mPj7e7va2Cg4PRaDT89ttvuLu3bMftbTsXrbl+HUkC1gtMjcHEpkMlrDtgvxc1LkjP6B4hjOrRjSHxQXi6yXp/QgjR2Wg0GvpE+tEn0o+nJvZk/YFilu08yup9RewtqOL57/fy8sp9jO4Rws0XRzE2JUQmxxOiE7vssstITk4mIyODzZs3c8MNN/DYY4/h4+PDp59+qk7Wo9VqbWa8Pd8iIyN5/PHH2b9/P3fddZfdfa655hoWL16M2Wxm8ODBp8yrKWA8OTh7//33T1uG5ORknn76aZYtW8bOnTvV7XFxcezevdtm3zVr1rSYnfdU9Ho9Y8aMYdeuXfTr1++UPcTt4ZprruGVV14hLy+PW2+9tV3ybLqOZ+p1PdX160gSsDqRnJwcTCYTWq2WmJiYdslTURSySmpZu7+ItQeK+P1wGUbziV5U9+O9qGN6dGN0jxDiglsOIxEXho6of0K0ltS/jqNzdeHyXqFc3iuUirpGVqTm8/UfR0k9WsmqfYWs2ldIgF7HdQMiuW1Q9AU5ZFjqn3CUnJwcGhoaMBgM59Qr5uLiwptvvsnVV1+NxWLhu+++47vvvmux37x58wgLCzuXIp+zV1555bTpt99+O4sWLWLixInMnj2bSy+9FJ1Ox9GjR1m7di3XXXcdN9xwA8OGDSMgIID777+f+fPno9PpWLRoUYvlqXbv3s1DDz3ELbfcQlJSEm5ubqxZs4bdu3czZ84cdb+pU6fyzDPPMG/ePEaNGsXevXtZsGABfn5+rT63N998kxEjRjBy5EhmzpxJXFwc1dXVHDp0iBUrVtjMXHwuhg8fzr333sv06dPZsWMHl112GV5eXhQUFLBx40b69u2r3ud7OoqiqL3KiYmJeHp6smjRInr27Im3tzcRERGUlJS06vp1JAlYnUh5eTlGoxGdTtemN8zs7Gzee+89fvnlF+rq6ohNSGTEjdMxBiezLqOE7FLbtb1iAvVqgDokQXpRhdXZ1j8h2oPUv/PDX+/G1KFxTB0ax8HCar7eeZRvd+VRWGVg4eYjLNx8hH5Rftx6STST+kfg56lzdJHPC6l/wlHKy8vRarWYzeZzzuuqq67i66+/5p577qG8vNwmTafT8cwzz/D000+f89/paK6urnz33Xe8+eabfP755/zjH/9Aq9USFRXFqFGj1CHNQUFB/PDDDzz22GPceeedeHl5cd1117FkyRIuuugiNb+wsDASExN59913yc3NRaPRkJCQwOuvv87DDz+s7vf4449TVVXFwoUL+de//sWll17K0qVLue6661pd9l69erFz505eeOEFnn76aYqKivD39ycpKYmJEye230XC2pM8ZMgQ3n//fd59910sFgsREREMHz68xQRLp2MymdBoNOj1ej7++GOee+45rrjiCoxGI/Pnz+eBBx5o1fXrSBpFuTBWG7dYLFRXV9ts8/HxOa8zXJ1Jamqq+obZv3//Vh3z6aef8te//hWLmzeeiYPwTByER9wAXNxOzPilc9VwaXwgY3qEMCYlhAS5F1XYcTb1T4j2IvXPccwWhd8OFrN0Ry6/7i1UR+G4a12Y2DecWy+JZkhCYJd+35D6JxwlNTUVrVZLfHw8en37rKFcW1vLkiVL2LRpEyaTid69e3PXXXedcoIeceGqq6tDURQ1YG1vubm5REdHt9je1rhMAlYnClgNBoNaac40LERRFD74+ieeePNzPBMH4R6ebJNuqi6lPmsH0a5VrF/6Pn56mVhDnF5b6p8Q7U3qn3Moq23km115LN2ey4HCE++ZsUF6bhsUza2XRBPcBSdqkvonHMVgMHDs2DGio6Od6jOpuDBYLCeWrOyI+icBaxt1hoD1dIxGI7t2p7E9u5KDdR5sy62l4KQJk3qF6rmybyT6iiyenT2D/Pw8AJYvX861117riGILIYTohBRFIfVoJUu257IiNZ8ag3UZDJ2rhit7h3HnkFgGx3ftXlchzpdTfagXorOTgLWNOmvAmldazZy3vmD9oTIITcHF7cTC0hZjAw1H/iSoIZ91Xy4g1O/EMOAVK1aoQeoNN9zA//73vw4tZ0NDA6mpqdTX15OYmCgNrxBCdBF1jSZ+2F3Al7/nsCvnxHIRid28mDI4lpsuisJPf2Hc6ypER5CAVXRVErC2UWcJWBVFYV9BNav3FfLr3mPszquySTdVl1B/aDv1h7bRkLMbxdTI3Llzefnll232M5vN6HQ6FEVh4MCBHTbtdG1tLS+88AIffPABZWVl6vYrrriC559//rTTkQshhOhc0vMr+XJbDt/uyqO20TpJjLvWhUn9I7hzSCwDov0dXEIhOh8JWEVX1V4Bq8wS7AQURWHt2rUs/+47VmsvpUZrO322oeAg9Zm/c0m4Oz1CvViZ8QNlR46o6Xv37m2RZ3Z2Nk3fRXh7e3dIuWtqahg/fjxbt25tkfbLL7+wbt06vv32WyZMmNAhf1+0r6qqKvUeLl/fC29ZC+FYUv86h94Rfrx0Q1/mTuzJt7vy+GJrNvuPVfP1H0f5+o+j9I/2566hsVzdLxx3beeZgV7qn3CUqqoqTCYTZrMZV9fO8z8jugaz2ay2fc5c/6SH1cE9rOnp6dx+++2kpaUBEDzpcTyTBmPI3o0xexdV+zeh1FWwdu1aLrvsMsB6P+ttt93GN998A1hvkt64cSNDhw4FrNNTT548ma+//hqAl19+mblz57Z72WfPnq0uRK3T6bjhhhsIDw9n+fLlHDkeUPv6+pKdnY2/v3zr7uxklkzhSFL/OidFUdiVW8EXW7L5fncBjWbrBB5BXm5MvjSGKUNiCG92u4qzkvonHCU1NRVXV1cSEhI6ZJZWIU5HZgl2Ms4YsGZlZTF48GBKSkrUba7egVgaalFMBnXbjTfeyLJly2yOPXz4MAkJCervLi4uTJo0idjYWL7//nuysrIA0Ov1HD58mJCQkHYte3V1NREREdTU1ODu7s7WrVsZMGAAYA2ob7rpJlasWAHAG2+8wezZs9v174v2Jx/YhCNJ/ev8SmoMLNmeyxdbs9VJAV1dNFzZO5S7hsZxqRNP0iT1TzhKamoqGo2G+Ph4fHx8HF0ccYHpyIDVbDaTn58vQ4I7u7///e9qsNq7d29mzpxJdHQ0v/76K//5z3/URaQ9PVt+Ox0bG4uLi4s6HbXFYmH58uU2+2i1WhYtWqQGq0ajEYPBgJfXua/DumnTJmpqagCYMmWKGqyCtbf1pZdeUgPWn3/+WQLWTiA0NFSGJAmHkfrX+QV7u/PgmO7cd1kCv+4tZOHmI2w7XMbKPcdYuecYPcN9mT48jmv7R+Chc67XWeqfcJTQ0FAMBgOFhYXo9Xqpg+K8aprvpr2/TDSbzeTl5bVbh5kErA5SUlKi9poGBQWxceNGddjstddeS2BgIM8//zwAK1eubFGZfvnlFzVY7dGjBxUVFRQWFqrpl19+Oc899xxDhw5l+fLlvPXWW6xduxZFUQgJCWHatGk88sgjhIeHn1X5a2tr1efNe3rtbWsKbM9FRkYG69evx2AwkJyczLhx46RRb2dhYWGOLoK4gEn96zq0ri5M6BvOhL7h7D9Wxaebs/lm11H2FVTxxNe7efXH/UwZHMOdQ2IJ8fU4c4bngdQ/4ShNda+hoYGCggIukIGP4gIQEhKCh0f7tPGdekhwTU0NTz/9NEuXLqWsrIyUlBTmzJnD7bff3mJfZxsSvH79ekaPHg3AzJkzeffdd23S6+vrbbrmZ8yYwUsvvUS3bt1Ys2YN06dPJzc3F4Bly5ZxzTXXsGfPHmpra4mPjyc6OhpFUXj44Yd555137JYhJCSEX3/9lX79+p22rEVFRXz00UesWrWK+vp6kpKSGDZsGPfffz8AgwcPZsuWLTYB9ZdffsmUKVMAmDp1Kp999lnbLtBxhw8f5v777+eXX36x2R4bG8urr77Kbbfddlb5CiGEOH8q6hpZvD2XzzYfIf/4cGGdq4ZJ/SKYPjyevlF+Z8hBCCFEV3FB3cN6xRVXsH37dl555RWSk5P58ssv+fDDD1m0aBF33HGHzb7OFrBu2LCBUaNGAdZg9IMPPrBJr66ubjFToUajwcvLy6bH8uKLL2br1q1otS07y9955x0eeugh9fe4uDiioqLYtm0bRqMRgOjoaPbv33/KceuLFy/m7rvvpr6+vkWat7e3WpaZM2cyf/58goODWbFiBX/961/V4c6rV69m7NixZ7wmJ8vOzmbo0KEUFBSccp8PPviAGTNmtDlvIYQQ55/JbOHn9EI+3nSYP7LL1e2XxAYwY2Q843uF4erinPe5CiGEaB8XTMC6cuVKrr76ar788ksmT56sbr/iiitIT08nJyfHZsioswWsFRUVhIeH09DQgK+vLwcOHLAZkvTqq68yZ84cAJt7VZsbOHAgK1eutDuUyWw2k5iYSHZ2NgD//e9/ueeee3BxcSEvL4/rrruOP/74A4CPP/6Y6dOnt8jj119/5aqrrrL7t0/Fzc2NxsZG9fexY8eyatWqsxobf8MNN/Dtt98CEBUVxcyZMwkJCWHJkiWsWrUKAHd3d3Jyctp9UikhhBAdKzW3gk82Heb73QWYLNaPIvHBXswYGc9NF0U53X2uQggh2scFE7D+9a9/ZfHixZSXl9v0Ln711VfccccdbNq0iWHDhqnbnS1gBbj77rv55JNPAIiJiWHy5MmEhYXx22+/8c0336j3MaxYsYLffvuNX375RR3yO336dG688Ubc3Nzs5r1t2zaGDBkCWIP4n3/+2SZ969at6jI4Q4cOpUePHqxatYq6ujoSExO5++67+fDDD9Wg9o477uC5554jMjKSr7/+mlmzZlFRUQGAq6urOkFUc5dddhnffvstAQEBbb42ubm5xMXFYbFYCA0NJS0tjeDgYMC6jMKMGTP4+OOPAfjHP/6hBvfi7KWnp6uzZPbu3dvRxREXGKl/F67CqgY+23KEz7dkU9VgAiDY2427hsYxdWgs/nr773PtSeqfcBSpe8KRHFX/LphZgtPS0ujZs2eLobBN92OmpaXZBKz2pKenExsbazP01mAwsH//fgACAgKIiYmxOebgwYPU1dUBtJj6vqSkhLy8PMAagDYP1Mxms7rWqo+PDwkJCbz44ousWrWK3NxccnJyePXVV1uU8dFHH2XEiBFER0dzxx13EBERQbdu3Wz22b17N4qi4OnpSXJyslqWJnFxcaSmptKjRw/15ufBgwer6Vu2bGHLli3q72VlZWzfvl39PTk5mc8//1ytRFOnTqW8vFyd+XfixIn06tWL1atX09DQQHx8POPHj2f48OHU1NS0CFgzMjKor69Ho9G0uH+2uLiY/Px8m0ml7r77boKDgzGZTKSnpwMwefJkNWDdtGkTYF0mqKny9+nTx6aHvby8nJycHAAiIyPV4LdJamoqYF0GKCkpySYtJyeH8nLr0LWUlBTc3d3VtKqqKg4fPgxYZ/o7ubc7PT0dk8mEu7s7KSkpNmn5+fkUFxcD0L17d7y8vNS0uro6Dh48CFgn5YqKirI59sCBAzQ0NODq6kqfPn1s0oqKitRh1HFxcfj5nbg3rLGxkX379gHg5+dHXFycmmYymdSf1NRU+vbta9NwlJaWcvToUcDa4x0UFKSmWSwW9uzZA1iHiicmJtqU6ciRI1RWVgLQs2dPmy9aKisr1XV7w8PDW/SWp6WlYTab8fDwoEePHjZpR48epbS0FICkpCSboe21tbUcOnQIgG7duhEREWFz7P79+zEYDGi12haN9LFjx9RJzOLj4x3WRjR3+PBhqqqqAOus4s3bvoqKCnU0RWvbiCa5ubmUlZUB2LQRYJ0nIDMzE7De837yJG179+5V3+h69eplk1ZQUEBRUREAiYmJeHt7q2kNDQ0cOHAAgMDAQKKjo9W6p9FoWtVGgPVe9uZrPDdvI3x9fYmPj7c5VtoIq7NtIwAyMzPVW0Haq40I9fXglh4ejAgKYVVmLT9mGcivbOD1XzP4z/pMru8XwuhwhVBvbYe1EWazGYvFYjMaSNoIK2dpI5rrSm1EY2MjZrMZk8nEsWPHpI1APkeczzai6b1XURS1Dp/PNqK1Om3AWlpaand22sDAQDX9TJpeoOYURVHv7zSZTHaPaUo/mcViUdPsDaM9Od+IiAh+++03pk2bxrp162z29fb2Zs6cOTz11FOUl5erx9rryTQajSiKgk6nU7c1r2i7d+9W92mydevWFvno9XqCgoLUyZyajB49usU3HhMmTFAD1uLiYl555RU1rb6+nvT0dCwWi93yNl1De8OEzWYzRqPRZlhx07pkzV+b5v8Mza9re7029srbVIbmmpfpVK+NyWSy+41R07mebb5Go9Fu2unybTrWXr7u7u7q/4S969jaa2jv2OZlOtmZzrWxsRGLxWJ3Vuj2uIb2rlFr8+3oNuJU+Z5cpub5traNaHK6c21Nvqc61+b5nnyu9l4bd3d3XFxc0Ol0rWojzpSvs7w2XamNaJ6vPefaRugwMyHRg0evvYRf95fy/oYs9hVU8eWOAhZrYFiUB/dd5tPiw2h7tBE6nU79OflcpY1wjjaiua7URuh0OvUcpY2QzxFN285XPWx679VoNDQ0NJz2XDuijWitThuwAqe9L7I190xqtdoW+2k0GvXFsDeRkVartftiAeqHrabnJ7OXb2xsLGvXrmXlypX8+uuv1NfXM2jQIG699VY1UGuer71/tqY1lJrne/HFFxMfH8/hw4fZunUr3377rfrtZm5uLg8++KBNHv/v//0/XnzxRfR6PTt27GDSpEkcO3YMsAa8J2u+hM7J68Q2v4b2ytt0De29Rq6uruh0OptvbxYtWsTjjz9uk++SJUvU9KZvBtv7tTm5vE3n1pZzbTpPe+VqOtezzfdUawaeLt+mY+3lm5KSYvPN6Mlaew3PdK4nO9O5urm5WT/MdsA1tFgsdl/z1uZ7PtoIe/meXKazaSOanO5cW5Nv88dT5Xvyudp7bZr3HGRkZJyxjThTvs7y2nSlNqIp7Vyv4ZnOVefqwvUDI7luQAS/HSzh3TUZbD1SwcbcBjYu2se4lFIeGJPIxbHWL6jbo42w13sibQTq/s7QRjTXms8RZ8rXWV6bmJgYdRSGtBHyOaJp2/mqh03vvc1HYZzPNqK1Ou09rEOHDsVsNvP777/bbE9PT6dPnz68//773Hvvvep2Z7yHtaP95z//4YEHHlB/j46OJioqiu3bt9t88zJ8+HA2btxoc+yyZcu4+eabAWsFS0tLUyu1xWJhypQpLF68GOi4e0gHDx6svr5XXHEFc+fOVSddevnll9Vz2LdvX4thMkIIIbqOtLxK/rMuk5VpBTR9ark0LpCZYxIZndyt3Re9F0II0XEumEmX7r33Xr766qsWky4tXryYyZMnd4pJlzqaoijMnj2bt99++7T7Pffcc8ybN89mm9lstrmunp6e3HHHHURGRvK///1PHSOv1+s5cuRIi7Hu7WHjxo2MHTv2lMMiAB588EEWLFjQ7n9bCCGE88kqruH99Vn8b9dRjGbrx5ee4b7MHJ3I1X3DZUkcIYToBNoal3XaaO2GG26gpqaGZcuW2Wz/9NNPiYiIsJlU6EKl0Wh48803+f777xk/frzaFR8eHs6UKVPU/Zpucm/u5G319fV89NFHPP/882qw6uLiwscff9whwSrAiBEjWLFihd38NRoNs2fP5s033+yQvy2EEML5JHTz5tWb+7HhiTHMGBGP3s2VfQVVzPpqF+P/v/Us++MoJnPrl2ITQgjh/DptDytYh4nu2LGDV199le7du/PVV1/xwQcf8MUXX9gEZNA5eljz8/PV+wlOvpemPTTdFO3h4YHBYCA6Opri4mJcXFxYuXIlV155JQDV1dVcf/31rFmzBrAuT/PHH39QW1ur5jV48GBeeuklxo0b1+7lPFl9fT1Lly5l3bp1GAwGkpOTmTZtWouZ6cS56ej6J8TpSP0TZ6O8tpHPtmTzyebDVNRZR+PEBOp5aEx3brgoEp1r697jpf4JR5G6JxzJUfXvghkSDNapkv/+97+zdOlSysrKSElJYe7cudx+++0t9u0MAWtqaqo6/fvJ01h3hOeff5758+ervw8fPpzo6Gh++eUXdXrq4OBgMjMzURSF33//nfr6ehITE9t9rSZFUSgsLMRgMBAWFmYz5bs4P853/ROiOal/4lzUGEx8viWbD37LoqzWOst8VIAnD47pzk0XReGmPf17vdQ/4ShS94QjOar+XTDrsIJ16Zc333xThoWepblz57Jz506WL18OnFjPtIm3tzfffPONunbU+PHj270MJpOJDz74gLfffltd18vb25upU6fy5JNPEhsb2+5/UwghRNfi7a5l5uhE7hoWy6KtOby/IZOj5fXM/d8e3l59kJljunPrJVG4a89+lkohhBCO0al7WNuiM/Sw1tbWoigKGo3GZvHnjmQymXjvvfd4++23ycjIAKzTf99222089dRTHTr7bmNjIzfddBPff/+93fSgoCBWrVrFgAEDOqwM4gRH1D8hmkj9E+2pvtHMV7/n8N76TIqqDQCE+3nwwOhEbh0U3SJwlfonHEXqnnAkR9W/C2pIcFt0hoDVkRRFITc3l/r6eiIjI/H29u7wv/n3v/+dl19+Wf198ODBhIaGsnr1avV+2ejoaA4ePNiqIcJNi2t7eHi0aYkDRVHYtm0bGzZsoLGxkZ49ezJp0iTc3NzaflJCCCGcRoPRzNIduby7NpNjVQ3A8cBVelyFEMJhJGA9BQlYHctisZCVlUVDQwMxMTFotVoiIyOpqKhAq9Xyww8/cMUVVwBQUlLCxIkT2b59O4DdSbSa57t06VLeeecdNm3ahKIoREdHc8899/Dwww8TGBh42nLt3r2bu+++mz/++MNme0hICK+99hp33XVXO5y9EEIIR2oKXN9Ze4jCKmuPa4QauEaf8R5XIYQQ7UcC1lOQgNUxGhsbeeutt1iwYAHZ2dmAdcjx8OHDWbt2LQBTp07ls88+szlu/fr1jB49GoAbb7yxxfJFYJ31+C9/+Qtffvml3b8dFxfHmjVriI+Pt5uenp7O8OHDqaysPGX53333XWbOnHnG8xRCCOH8GoxmlmzP5d11JwLXSH9PHhiTyC0XS+AqhBDngwSsp9AZAta6ujp1HLler3d0cc6ZwWBg0qRJ/Prrr6fd71//+hePPfaYzbbKykr8/f0BGDt2LKtXr25x3AsvvMC8efPU37t3705wcDC///47Fot1Hb4+ffrw559/qmvQNjdmzBjWrVsHQM+ePZk9ezaBgYEsWrRInYjK3d2d3NzcDltr1pl0tfonOhepf+J8ajCaWfx7Du+uO3GPa6S/Bw9cFsdtg+PRtnI5HCHOlbR9wpEcVf/aGpdJi+xEDh48yL59+zh48KCji9Iu5s2bZxOsjhs3jilTprQYpmsvGG3qfQUIDw9vkV5fX88bb7wBgIuLC4sXLyYjI4MtW7aQkZFBcnIyAGlpaaxcubLF8fv27VOD1YSEBLZv3859993HLbfcwrfffsuMGTMAa9C9cOHCtp14J9XV6p/oXKT+ifPJQ+fKtOHxbHhiDPMn9SLAw4W8igb+/t1+rnhjA9/vzsdiuSC+zxcOJm2fcKTOUv8kYBUdora2lvfffx8AnU7H+vXrWbVqFV988QVHjhxh5MiR6r4//vgj//73v2lstK6d98cff/DII4+o6fbuX12zZo26Vuztt9/Obbfdpk60lJiYyL/+9S9136VLl7Y4/vfff1efz5gxo8XMaLNmzVKfb9u2rfUnLoQQotPw0LkyfXg8708KY2pfb3zcXMgqruWhL3dx9dsbWbW3kAtkIJoQQjitTr0Oa1cTFBSE2Wy2O3y1s9m4caN6b7PSUgEAACAASURBVOjkyZO57LLL1DQfHx9ee+01hg4dqm579NFHeeGFFwgMDCQzM1PdfvHFF3PllVe2yL+kpER9PmTIkBbpzfMuLi5ukd40ZBiwOxtw81mJm+/blXWl+ic6H6l/wpEiQrsxIziQO4fCT1mNfPhbFvsKqpjx2Q4GRPvz+JU9GN492NHFFF2QtH3CkTpL/ZOA1YlERUU5ugjtpvlERr17926Rbm9beXk55eXl6u89e/Zk+fLldsezBwef+OCwdetWHn74YZv0LVu2qM/t3X/afG3XhQsXMmvWLHQ6nbrtww8/VJ/379+/xfFdUVeqf6LzkfonHKl5/euRAH8ZGsv7G7JYuPkwf+ZWMOXDbQxLDOKJq1IYEO3vwJKKrkbaPuFInaX+yZBg0SGa/wPYm3Sp+bbLL7+cm2++maCgILy8vBg4cCALFixg+/btREZG2s1/7Nix6r2wixcvZsmSJeqwrczMTP72t7+p+956660tjh84cCCXXHIJYL3P9fLLL2fFihVs2rSJBx54gH/+858AuLq6cs8997T19IUQQnRiAV5uzJmQwoYnxjBtWBxuri5szizl+nc2cf/nf3CoqMbRRRRCiAuGzBLsRLMEdyUWi4WkpCSysrIAePbZZ/nb3/6GXq9n48aNTJ48mby8PAB++uknu8N+z+RcZwnevHkzY8eOxWAwnPJvPPvss8yfP7/NZRNCCNF1HC2v441VB/nfzqNYFHDRwC0XRzP78iQi/D0dXTwhhOhUZFmbU5CA9fxbuHAh06dPV3/39PTEz8+PY8eOqdsGDx7M5s2bz+p1ONd1WME6G/Ff/vIXjh49arPdw8ODefPmMWfOHHUyJyGEEBe2jMJq/vXzAX7ZWwiAm9aFu4bG8sDo7gR4tZwPQQghREsSsJ5CZwhYDxw4gNFoRKfT0aNHD0cXp128+OKLPPPMM3bTBg4cyI8//khoaOhZ52+xWPi///s/FixYwKZNm1AUhejoaGbMmMFDDz3UYgkde4xGI9999x0bNmygsbGRnj17MmXKFIKCgs66XCcrLi5m+/btmEwmevXqRffu3dst7/bSFeuf6Dyk/glHamv925lTzqs/7mfbYets9T7uWu4blcDdI+LRu8n0IKL1pO0TjuSo+icB6yl0hoA1NTVVrTRdaaKfnTt3smDBAtasWUNDQwNJSUncc889TJ482WY23nNlNBoxmUx4ejrP8KyCggKeeOIJlixZgtFoVLePGTOGV199lUGDBjmwdLa6av0TnYPUP+FIZ1P/FEVhw8ESXvtpP+n5VQCE+Ljz/8Ync8vFUWhdnefzhXBe0vYJR3JU/WtrXCZfAzoRV1fXTjG1dFtddNFFfPzxxx3+d3Q6nc1Mv+2lsbGRb775ht9++43GxkZ69erFnXfeaTNTsT15eXkMHz6c7OzsFmlr167lsssuY+XKlYwZM6bdy3w2umr9E52D1D/hSGdT/zQaDaOSuzGyezArdufzr18OkFtWz9z/7eHD37J44qoUrugVKreViNOStk84Umepf9LD6kQ9rML5/Prrr9x1110UFBTYbHd3d+eZZ57hqaeeOuWHkWuvvZYVK1YA4O/vz9SpU/H19WXx4sXqWrNhYWEcOXKkXXuahRBCnH8Gk5lFW3N4e81ByuusI2oujg1g7oQULok78+0pQghxoZAhwacgAatoqw0bNnD55ZfbDOU92almEc7KyqJ79+4oikJYWBg7d+4kPDwcsPbYXnXVVaxduxaAL774gilTpnTMSQghhDivqhqM/Hd9Fh9uzKLBaJ2xfnyvUJ68KoXuId4OLp0QQjheW+MyidaEsENRFGbPnq0Gq+PGjePHH3/k/2fvzuNjut4Hjn9msscSuwSJ2GMJse/7mlIEtVP7llK0lFZVqa+tSqtK7ZSi9tqr9n0nCUkQhEQIkYpE1pn5/TG/3GbMBFFMJp7369VX78y598yZ8TjmmXPPOSdPnuSTTz5RzpsyZYqyPU9aBw8eVPaFHTp0qJKsAtja2vLVV18pj//++++39TaEEEK8Yzntbfi8ZRkOj2lMtxquqFWw7+oDWs49woSt/jyKTX8rNSGEEMZkDqvI8h49esSKFSs4fPgwSUlJeHh40L9/fypWrJjuNefOnePSpUsAeHl5sWfPHqyt9X9datWqhb29Pd9//z0ajYZly5YZrYQcHx+vHBcuXNio/iJFipg8VwghRNZQMKc90zpUpH+9YkzfHczfgQ9YfeoOWy/eY2ijEvSrWwwH28w9b0wIITIDGWHNRCIjI4mIiCAyMtLcTcky1qxZg5ubG2PGjGHHjh389ddf/PTTT1SqVIm+ffuSlJRk8jo/Pz/l+OOPP1aS1VT9+vUzeW6qtNvWbNq0yah848aNJs81J4k/YU4Sf8Kc3mb8lSyQgyUfV2PdoFpULOJEbGIKs/YG0/j7Q2w8H4ZW+17MzBLpkL5PmJOlxJ8krJlIREQE4eHhRgv8iNezY8cOevXqle4I5ooVKxg2bJjJsrT30CckJBiVJyYmmjw3VbNmzZRR1N27dzNixAju3r1LTEwM8+bNY8qUKcq5ffr0ISEhgQsXLnDmzBmio6Nf7Q2+YRJ/wpwk/oQ5vYv4q1U8L1uH1eXHrl4UzuXA/ZgEPt9wmTbzjnHs+qO39roic5O+T5iTpcSfJKwiS9LpdIwdO1aZR9qjRw8CAgKIiIjghx9+wN7eHoClS5dy9epVo+tr1qypHC9ZsoS4uDiDuufOnas8rlWrFikpKQQHB3PlyhXi4uKwtrbmf//7n3LOvHnzcHNzw8nJiREjRigJ78cff8yCBQtwcXGhatWq1KxZE2dnZ3r06KGsJPxfhYWF8c0339CyZUuaNWvG6NGjCQwMzFAdOp2Ohw8f8uDBA7Ra7RtplxBCvG/UahXtvAqz/7OGjPP2IIe9NVcjYui59DT9Vpwl5GGsuZsohBCZjqwSnIlWCX7y5Ak6nQ6VSoWTk5O5m2PRTp48SZ06dQB9QnnixAmD7WdmzZrF2LFjARg9ejSzZ882qqNRo0YcPnwYAA8PD4YPH07u3Ln57bff2L17NwD29vZ8+umnrFq1Svl1ysHBge7duzNhwgS2b9/O6NGjSUlJMaq/S5cuBAQEcOXKFZPvIU+ePOzfvx8vL6/X/hzmzp3LmDFjTL7+yJEj+f7775W9t0zFX3x8PD///DMLFizg1q1bALi4uDBw4EBGjRpFrly5XrttQqQl/Z8wJ3PF3+O4JH7af53Vp0JJ0eqwVqv4uI47I5qWwsnhze8rLjIf6fuEOZkr/mRbm3RYQsIq3pwVK1bQt29fAObMmcPIkSMNyu/evYubmxsAbdq0UfZLTevKlSvUrVuXJ0+epPs6xYoVUxK55+XLl48DBw6QK1cuFi1axPHjx0lOTqZ8+fIMHDiQWbNmsX79ekC/cnD79u3JkSMHW7Zs4fHjxwCUKFGCoKAgAEJDQ0lJSaFo0aLKCPGLLF26lAEDBrzwnLFjxzJjxgyTZU+ePKFly5acPn3aZHmZMmU4ePCgwQrIQgghMi7kYSxTdwZyIEg/jyxPNltGNy9N1+quWFvJ9xQhRNYi29oIAdjZ2SnHpiaSP3jwwOS5aZUvX56jR49SvXp1ozIXFxcaNmyoJKtqtRpvb2+6detGjhw5AP3qxD4+Pri4uDBlyhQOHDjA0aNHWbhwIQUKFGDDhg2AfiQ1ICCA9evXs2TJEm7evEmVKlUACAkJoVevXri5uVGyZEk8PDzInz8/vr6+3Lt3L933n5SUxJdffqk8Hj58ODdv3iQiIoKpU6cqo6o//PBDuvMWhgwZYpCs1qtXjyZNmijXBgcH061bt3TbIIQQ4tWUyJ+dZX2qs7JfDUoWyM7juCQmbA2gzbxjnLgh81uFEO83GWGVEdYsKSwsjKJFi6LVasmXLx9+fn7KSKBWq6Vjx45s3boVgJ9//hlfX98X1nf27FmOHDlCcnIy5cqVo2rVqhQrVozk5GSyZ8/O0aNHlVt3o6KiaNasmbItzpYtW2jfvr1BfWlHPydMmGCwCBPA9u3badu27Qvb5OLiwqFDhyhdurRR2ZYtW+jQoQMA7du3Z8uWLQblX3zxBTNnzgRg+vTpfPHFFwbld+7coVixYmi1WpycnNi/fz9Vq1YF4Nq1azRt2pSwsDDls6lWrdoL2yqEEOLVJGu0rDkVypy/r/MkXr8XeItyBfmqdVmK5s1m5tYJIcR/JyOsFiwpKUn5T/w3RYoUwcfHB9CPdHp6ejJmzBhmzJhB1apVlWQ1Z86c9OrV66X1Va9enc8++4xx48bRtm1bDh06RHKy/ovE4MGDDeaZ5s2bl++++055/OeffxrVl/YvaalSpYzKn09C1Wo1rVq1omPHjjg6OgL6ld06duxochGk69evK8edO3c2Kk/7XOq5aePvzz//VOodNWqUkqymti3tvrOmtu0RIqOk/xPmlJniz8ZKTZ+6xTj0eSP61HHHSq3ir6sPaP7DEWbtDSIu0XhNAmG5MlPsifePpcSf9ctPEe9KYGAgycnJ2NjYUKlSJXM3x+L99NNPnDt3jtDQUKKiovj+++8Nyq2srFixYgU5c+bMcN1p57WWLVvWqLxcuXLKcUxMjFF50aJFleNdu3bRu3dvg/Lff/9dObazs+PMmTNUrFgR0N/O3LhxYwIDAwkICGDWrFmcOXOGkydPotFo8PT0VLbUAbh//77R66e9DTh1Pmza+EudQwtQuXJlo+vTJrBpzxXidUn/J8wpM8Zf7my2TGpbnh413Zi84ypHrz9i/sEQNp4P48sPytK2UiGDxQSFZcqMsSfeH5YSfzLCKrKsQoUKceLECbp06YK1teFvM1WqVGHv3r3KKGxGpU0I9+3bZ1T+119/mTw3lbe3N3nz5gVg/fr1TJ8+nbi4ODQaDX/88YfBQki9e/dWklWAggUL8u233yqPx40bx+bNm5WNn/fv38/KlSuV8nnz5hns7ZqYmGhQf6NGjTh69CgrV65k1apVHD9+nAIFCijlR44cMWr/oUOHlGNnZ2ejciGEEG9GqYI5WNWvBot6VcU1jwMPYhL5dN0lOv96koDw9BcFFEKIrELmsGaiOay3b99Go9FgZWWFu7u7uZuTpURERHDixAkSExMpW7YsXl5e/+mX6YSEBFxdXXn0SL8YxuzZsxk2bBh2dnbs2bOHnj17KiOP586dMxiRTDVnzhxGjx6tPLa1tcXGxsZgz1eANWvW0L17d4PnAgMDDUZxAZycnLC1teXhw4dGr1WwYEE+/vhjHB0dWb16NTdu3ACgQIECFChQgICAAIPzXV1diYiIICUlBTs7O9auXavMwz106BAdO3ZUkuDAwEA8PDxe/qEJ8QLS/wlzspT4S0jWsOToTeYfDCE+WYNKBd1quPF5izLkyWZr7uaJ12ApsSeyJnPFn2xrkw5LSFiFZZk9ezaff/658jhbtmw4ODgoSSzABx98wM6dO01er9PpGD9+fLrbyqTq27cvy5YtM3hu5syZykJJKpWKBQsW0K9fP6ytrdm1axc9evR44XY8oE+QVSoViYmJLzwvlaurK7a2toSEhCjPdejQQeawCiHEOxbxJJ5pu4L487J+tfic9tZ83rIM3Wu4yTY4QohML6N5mdWkSZMmvYN2mZ1OpzOaUGxnZyfzP8Rrq127NjExMZw6dQqA5ORknj17ppTXq1ePTZs2pbtnqkqlolmzZrRt2xaNRkN8fDy5cuWiQYMGTJ06lT179pCYmIifnx/Ozs5UqlQJtVrNnj178PX1VRZ98vHxYdasWVhZWaFSqShdujR2dnbs3bsX0C+SFB0dTdrfpho0aACgJNdeXl5MnjyZjz76iMePHxMaGgqAjY2NsvhSTEyMwa3F9erV448//uDx48f89NNPzJ49m7Vr1xIYGEjx4sXJlSvXG/mchRBCGMphb4O3pwu1i+flyr0Ywv+J52DwQ/YFRlLGOQeFczmYu4lCCJGujOZlMsIqI6ziPzpx4gTz58/n2LFjyrY3AwcOpGPHjkZzZzNi8uTJfPPNN8pjJycn7OzsjPaVXbduHV26dDF4LiAgAE9PTwA+/vhjpkyZwtmzZ9FoNFSsWJHIyEglaa1cuTKnTp3C1lZ/O5lWq6Vdu3bs2LEDAF9fX65cucLp06fRarV4eXkxaNAgevXqxS+//MKYMWOU5DmVWq1mwoQJTJo06YU/Cmm1WrZv387ChQs5e/YsOp2OqlWrMnjwYHx8fOTvpxBCvIRGq+P306F8/9c1ZRscn8qFGe/tQYGcpn8wFUIIc8poXiarBAvxH9WpU4c6deq88XonTJhAeHg4ixYtAkj3Ft8rV64YPZd2TmrOnDlxdXXF1dVVeS7tVjvDhg1TklXQJ5sjRoxQElatVsvBgweNXmPx4sWMHDnSZJu0Wi2TJ0/G3t6e8ePHmzwnKSmJrl27Gu0Ru2/fPvbt20fr1q3ZsGEDDg4yUiCEEOmxUqvoVdud1hULMWtvMOvO3mHLxXD+unKfT5uVok+dYthay49/QgjLJT1YJhISEkJQUJDBHEHx/lKr1SxcuJADBw7QqVMnXFxcyJ8/P02bNmX+/PlYWVkB+lWA0yao9+/fN1hFuF27dkZ1azQa5Tj1luW08Zc2SUx7bqqEhASDRNTX11e5dty4ccrzkydPTnfbm9GjRxskq/nz56dgwYLK4507d+Lr68vx48fp1asX5cqVo2zZsvTs2ZOjR4+arFNYLun/hDllhfjLk82WaR082eZbFy/XXMQlafjfriC8fzzC0evGi/GJzCErxJ6wXJYSfzLCmonExsYqeyEJAfp5ro0bN6Zx48ZGZUePHmXdunX8888/eHl50aJFCxwdHdm9e7cyl7ZixYo0adLE6Nq0e20tX76cHj16GMTf0qVLlXIvLy+j67du3UpUVBQAnTp14ueff1bKpk2bxpMnT1iwYAEJCQn8/vvvfPLJJwbX379/Xxk5trOzY9WqVXTq1AmAbdu20bNnT549e8by5ctZvny5wbVBQUGsWbOGvn37smjRov9027XIPKT/E+aUleKvYpFcbB5ah40XwpixO4iQh3H0WnqGDzydmdimPM5OcptwZpKVYk9YHkuJPxlhFcJCLViwgMqVKwP6UdDdu3ezadMmJVktVKgQGzduNDmHtEWLFri5uQFw4MAB2rdvz+nTp7l8+TITJ05kxYoVgH7l4+e31AEIDg5Wjk2Vd+vWTTkOCgoyKt+wYYMy7/XTTz+lc+fOqNVq1Go1Pj4+jBkzxugaW1tbg1uXly9fbjCaK4QQQk+tVtG5misHPm9E37ruWKlV7PK/T9PZh1hy9CbJGq25myiEEK9MhiYykdRFcoR4Fbly5eLIkSPMmjWLRYsWcf/+fUA/ab1379589dVXuLi4mLzWysqKefPm0b59e3Q6HX/++afBvNZU06dPx8nJyej5tIlj2m18TD1nZ2dnVH7v3j3luGnTpkblafetVavVzJs3j379+qFSqVi+fDkjRowgOTmZefPmMXbsWAoUKGDyfQrLIf2fMKesGn9ODjZ882F5PqrqyoSt/ly48w/f7Qxk4/kwvmtfgWrueczdxPdeVo09YRksJf5khDUTSR1hkpVRxavKnj073377LXfv3uX69esEBgYSGRnJzz//nG6ymqpt27Zs2LCBPHmMv7A4Ojoyb948o1t5UzVs2FA5njt3LrGxscrjxMREZs2aZXCuVqslPDycsLAwNBqNwZY3/v7+RvWvWbNGOa5evTrDhg3D3t4eOzs7hgwZwvDhwwH9wk3r169/4fvMDHQ6HbGxsQbbHglD0v8Jc8rq8VeuUE42DqnDjI6e5HK0Iej+UzotPMnYjZd5HJf08grEW5PVY09kbpYSf5m7dUKIV2JtbU3JkiXx8PBId99XUzp27EhYWBgrV65kyJAhDBo0iPnz53Pv3r10k1XQ70FbpUoVAK5evYqnpyeTJ09m2rRpVKpUiZMnTwLg5ubGhQsXcHNzo0iRIri6ulK4cGFu3bql1DVz5kyDW4xv3rzJzp07lcd9+vQxev02bdoox6l7xmZGsbGxzJgxg5IlS5IjRw6yZcuGp6cnv/zyi9H+Y0II8Tap1Sq6VHfjwGeN6FJNv2r8H+fCaDL7EGvP3EGrfS92ORRCWCDZhzWT/6IgRGbl7+9P/fr1091ux97eniJFinDjxg2T5dmyZSMuLg7QJ9zNmzdHrVbz119/Gezr+ssvvzB06FCDaxctWsTgwYMB+Oabb5g0adIbeEdvVmRkJE2bNjVYwTmthg0bsnPnTrJly/aOWyaEEHA+9DFfbQkg6L7+u1EVt1xM9fGkrEtOM7dMCJHVZTQvk4Q1EyWsUVFRaLVa1Go1efPmNXdzxHvmdeLv6tWrjBgxgv379xs8X6dOHWxsbDh8+DCgv+WkcePGWFlZceDAAVJSUgD9rccvu03W3d2dkydP4uzsDMCDBw+oU6cON2/eBODUqVPUrFnT5LVarZYtW7awcOFCLly4gEqlolq1agwZMoS2bdu+1b//zZo1Uz4XlUpFzZo1SUxM5OLFi8o5ffv2ZdmyZW+tDZZE+j9hTu9r/KVotKw4cZs5+64Rl6TBSq2if71ijGxWCkdbWebkXXhfY09kDuaKP0lY02EJCevly5eVpaXTbjsixLvwX+Lv+vXrnD17Fq1Wi5eXF/b29pQqVQqAvHnzcujQISpUqKCc27hxY8LDwwHo378/27dvJzIyUjl/wIABHDp0iNOnTwP6ubodO3ZEpVKxadMm5e9yzZo1OXnypMmVkBMSEujUqZPB7cVp+fj4sG7dOoMFpN6U8+fPU61aNQBcXFzYu3evsrDBkSNH+OCDD4iLi8Pa2po7d+68dL7x+0D6P2FO73v8RTyJZ/L2q+wO0C/eVziXA5Palqd5uYIvuVL8V+977AnzMlf8ZTQvyzzZmhDCYpUqVYru3bvTs2dPKlSowLZt25Syzz//XElWU8/98ssvlceFChUiPDycmzdvEhISQkREBNOnT2fdunUUKVIE0M8FXblyJStWrFA6uMKFC/P777+bTFYBfH19DZLVggULGqwmvGXLFkaNGvVmPoDnbNq0STn+5ptvDFbha9CgASNGjAAgJSXF4LMSQghzcHFyYEHPqizrU40iuR0I/yeegavOMXDVOcL/iTd384QQ7zlJWDORIkWKULRoUeVLuhDv0puMv+joaOXYy8vLqDztc//88w/W1tYUK1aM4sWLK5tXu7u7c+bMGQYOHIijo6NyvoODA/379+f06dMUL17c5OvfuXNH2UvW0dGRzZs3c+/ePSIiIli/fr2yMNXixYuV7YDepIcPHyrHNWrUMCpP+1xUVNQbf31LJP2fMCeJP70mHgXZN6ohQxqWwFqtYt/VBzT/4TCLj9wkRfZufSsk9oQ5WUr8yQSFTETmLghzepPxl/YW10OHDtGqVSuD8kOHDinHqXNT06tn0aJFfP/99wQGBgJQtmxZcuZ88aIg69evR6vVf7kaO3YsPj4+Slnnzp25cOECM2bMIDk5mQ0bNijb5LwpaUdyjx8/TuXKlQ3Kjx8/rhznzZuXAwcO4Ofnh5WVFbVq1aJatWrpjhxnVdL/CXOS+PuXg60V47w98KlcmK+2+HMuNJqpuwLZcjGcaR08qeSa6+WViFcmsSfMyVLiT+awZqI5rEJkFQ8ePMDV1ZXk5GTs7e1ZvXo1Pj4+qFQqdu/eTZcuXYiNjUWlUnHjxo10R0pf16hRo5g7dy6gnzNav359g/J9+/bRokULAMaNG8e0adPe6OtfvnxZGUXOnz8/O3bsoEaNGuh0Ovbu3UuHDh2Ij4/HysqKokWLKgtIpapWrRoLFy6katWqb7RdQgiREVqtjg3n7/K/XUE8iU9GrYLetd35vGUZstvJmIcQ4vVY9BzWQ4cOoVKpTP536tQpo/P//vtvateujaOjI/ny5aNPnz7Kwi1CCPMpWLAgAwcOBP5d/KhIkSK4ubnRunVrYmNjAejevfsbT1YBcuX6dwTA39/fqNzPz8/kuem5ePEiy5cvZ8WKFVy9evWl51eqVAlvb29Af3twzZo1qVSpEh4eHnh7exMfr58TptVqjZJVgHPnztGwYUPOnz//0tcSQoi3JXXv1v2fNaS9VyG0Olhx4jbNfzjMvqsPzN08IcR7IlONsB46dIjGjRvzv//9j8aNGxuUVahQgezZsyuPDx8+TLNmzWjdujW+vr5ERkbyxRdfkDt3bs6dO4ednZ3B9ZYwwpp6CyOQqdol3g9vOv4SExPp0qVLuosKNWvWjK1bt76VfUgvXbqk3IZbuHBhjhw5oiTG165do0GDBjx4oP+yFRgYiIeHh8l6Tp06xYgRIzh79qzB8/Xr1+fnn3+mYsWK6bYhKiqKli1bppt02tjYKPvN1q1blz59+pCQkMCCBQuUpLhy5cqcP3/+vbg9WPo/YU4Sf6/m8LWHTNjqz93H+h/dvCs4M6lteQrmtDdzyyyXxJ4wJ3PFn0Vva5OasG7YsIFOnTq98NwaNWoQFxfH5cuXsbbW35Zy4sQJ6tatyy+//MLQoUMNzreEhFWWNhfm9DbiL+0+qGfOnEGn01GlShUGDRpEly5dsLKyeiOvY0qTJk04ePAgoE8OW7RogVarZd++fco+sN7e3uzatYuEhARu3bqFSqWiePHi2NracuTIEVq0aEFiYqLJ+nPkyMHhw4eN5qemFR8fz5IlS1i0aBEBAQGoVCqqV69OpUqVWLx4MQAffPAB27dvV/qi+Ph4atSoQUBAAAAnT56kVq1ab+xzyayk/xPmJPH36uKTNMzdf40lR2+h0erIYWfN2FZl6FGzKGp11v9x7U2T2BPmJNvavEXh4eGcPXuWXr16KckqQJ06dShdujRbtmwxY+uEEKnUajUdO3Zk3759PHnyhJiYGA4dOkT37t3farIKsHr1amUv2OTkZHbuRmoCeQAAIABJREFU3Mnu3buVZLVs2bLMmjWLTz/9FGdnZ8qVK0fZsmVxcXHhs88+o2fPnkqyWr58eWbNmsW0adMoWbIkAE+fPqVPnz7s3LmTdu3aUbRoUYoVK0bXrl05fPgwoF/RePjw4fj7+5OcnExycjKnT5826LdGjRpl0EE7ODgwbNgw5fGJEyfe6uckhBAZ4WBrxXjvsmz/pB6VXHPxNDGFr7dd4aNfT3Ij8unLKxBCiAzKlDPmfX196dq1K46OjtSuXZuvv/6aevXqKeWpIw+mbserWLGiwQqcL3LlyhWKFi1qsOJoYmIiQUFBAOTOnRs3NzeDa65fv86zZ88AjH6JePToEeHh4QC4ubmRO3dupUyj0SjtzpEjh9G8vVu3bpGSkoJKpTLYwgP0236EhoYC+j0r8+fPb1Du5+eHTqfDwcGB0qVLG5TdvXuXx48fA1CmTBllOw/Q720ZEhIC6Fc1TbuyK8DVq1eVX13KlStnUBYREaHMFy5RooTB7doJCQkEBwcDkCdPHlxdXQ2uvXbtGvHx8ahUKqM/w4cPH3Lv3j0AihYtajC/MCUlhStXrgCQM2dOihUrZnDtzZs3lV9rKlSoYJAQRUdHc+fOHUB/i2i+fPkMrr18+TKg3wIlNclJdefOHWWbFg8PD4PbzWNiYrh16xagn7f5/Iq3V65cISUlBTs7O6PbTu/du6dsf1KyZEmDW2OfPXvG9evXAf0Kbs8vNx4cHExCQgJWVlYGe5wCREZGEhERAei3hnFyclLKkpKSlNV2nZyccHd3V8qyZ89OTEwMKSkpXL58GU9PT4NEKioqirCwMEC/DHraleW0Wq0yVzR79uyUKFHCoE23b9/myZMngD5RtLW1VcqePHnC7du3Af2qwGlX2AX933eNRoO9vT1lypQxKAsLC1O2hSlVqpTB3x0nJyeWLl3KihUr2Lp1q/L3oECBAgwcOJCaNWvSvHlz5bNK9fjxY3744Qflca1atTh8+LDS5sGDB1OjRg1u3LiBn58fbdq0MXqv69evx8fHhw0bNihxaG1trfQRqbcjA8qfe9o+IrWPAZQE+9atW8TExAD6BDpt0psV+ojs2bMrdUkfoZfZ+giAkJAQZQ66pfcRcXFx3LhxAwArKyvs7OyUbbUAgoKCSExMxNramvLlyxvUe//+feXvcbFixTLN94h32UeUK5STVb0q8vNeP367/ITzodF88OMxPmlSkiENS2BrrZbvEf/vRX2EnZ0dKSkppKSkcP/+fekjyJx9RP78+SlUqJDBtVmhj0j9t1en0ykx/C6/R7yqTJWwOjk58emnn9KoUSPy5s3LjRs3mDVrFo0aNWLnzp20bNkS+Hffwjx58hjVkSdPnlfe1zAlJYXn74jW6XTKvLLUL4rPX5Na/jytVquUpb0nPNXL6k1ty/N/+dPWq9FoTNar0+kM/qFNpdFolGuff6+vUm967zVtvc+/17Sfoal6Uz9DU/PyXrXed/1nk95n+LL3mpycTEpKislbHF70Z/Mq9SYnJ5sse1G9qdeaqrdEiRIEBQURGxtr8nN81c/Q1LVp2/S8l73XpKQktFqtyRHZl32GDg4ODB06lAkTJqDT6VCpVLi6umJlZUXVqlWVf5Dt7e1p3bo1Go2GXbt2kZSUpNTzySefGPzD6ODgQJcuXZg6darB6+XMmRONRkNcXBwAW7ZsYeLEiQbnpX6Gab8krVixgtq1awP//l3euHGjUu7p6Qm8OA6zQh+R9stJ6pdc6SMyVx+Rtl5TLLGPSC0zlRSlvldTn9Gr1ptZ4vBt9REqdLQsZkeVgnlZdSWRk6FP+WHfNXb5RzC9Y0VU8j3CqN7nP0MXFxclsZQ+IvP2ES96r5bcR6T+2/v48WNlEch3+T3iVb21hDV1PuqruHjxIl5eXlSuXNlgPlj9+vXx8fHB09OTsWPHKglrqvQWInnVBUqsra2NzlWpVMofRtpfJ9NeY+oPC/S3P6aWmepYXrXe59uUtl5Tf9lsbGzQ6XQm67WysvpP9ab9f3r1Pv9e036GpupNfa+m/pxetd7M8mfzsvea+j5f9hm+Tr0ajcZk2YvqTb32RfX+18/wZe/1eS97r7a2tmg0mv/0GdrZ2Rn8MnrmzBkuXrwI6H9JPH36tPLr882bN6lQoYKykm/qL8Vp633+fa9atYqPPvoIjUbD9OnTmTx5MhqNhrlz5zJmzBjlF/7Uz7Bt27bMnz+fhIQEFi1ahFqtpk+fPly9epXff/9dWRXdzc1N2X5H+oiM1St9hPQRz9f7Op+hVqvN8N+bzBiHb7uPKORkw+x2rpyN1PHt9qsE3X9Kh1+O09YjJ90qZMdR+gjpI5A+wlS9mSUOzfU94lW9tUWXIiIi2Llz5yud26FDB5OjpamGDh3KwoULefbsGQ4ODuzdu5dWrVqxc+dOPvjgA4NzP/roI44fP67cDpLKEhZdEkK8G19//TXfffcdAIsWLVK24EnVoUMHZS58jRo1OH36tEF5+fLllZV8P/roI/744w+D8tQ+C2Dp0qX069fPqA2zZ8/m888/T7eNKpWKTZs24ePjk8F3J4QQ5vM4LokpO66y5aL+tkXXPA5M86lIvVL5XnKlEOJ9kdG87K2NsLq4uDBgwIA3UldqTp2atafea+/v72+UsPr7+xvdiy+EEGmlzoMBjOZVAXTr1k1JWM+cOcNnn33GwIEDSUlJYd68eQZ7sY4YMcLoem9vbyVhTZ2v87zRo0cD8NVXXxmtROzk5MTChQuVZDU0NJSAgADlVubn55YIIURmkSebLXO6eNHWqxATtgRw93E8PZee5qOqRZjQphxODqZHjoQQIj2ZfngxOjqaHTt24OXlpUziLVy4MDVq1GD16tUG90OfOnWK4OBgOnToYK7m/ie3b98mJCREmTguxLtkqfF3/vx5Bg0aRNWqValatSqDBw/mwoULL7wm7eIT+/btMyo/efKkweMffviBsmXL4unpyaJFiwzKUud8pJW6IAVgsNBCWiqVis8++4ywsDBmz55N79696du3L4sWLSIsLIyuXbvi5+dHq1atcHd3p02bNnh7e1O4cGF69OiRbiJsqSw1/kTWIPH35jUuU4C9oxrQp447KhVsOB9GizmHORD04OUXv0ck9oQ5WUr8Zap9WLt3746bmxvVqlUjX758XL9+ndmzZxMSEsLu3btp1qyZcu6hQ4do3rw5H374IcOGDSMyMpJx48bh5OTEuXPnDFZgA8u4JVj24hLmZGnxp9VqGTFiBPPnzzdZPnz4cObOnWvy7/idO3coVqwYWq0WBwcHli9fTqdOndDpdKxZs4aBAweSnJyszLd4fqEAGxsbZRGBUqVKcfToUQoWLAjoE9g6deooqwMGBwcbraj3Kk6dOkWzZs2URZyeV6RIEY4dO0bRokUzXHdmZGnxJ7IWib+369ztx4zZ6MetR/r+rEPlwkz8sBy5HG1fcmXWJ7EnzEn2YX0NFStWZO/evQwYMIBmzZrx1VdfUa5cOU6cOGGQrAI0atSIXbt2ERERwYcffsjw4cNp3Lgx+/fvN0pWhRBZz9dff22QrKpUKoPJ/vPmzeObb74xea2bm5syrzQ+Pp6uXbuSP39+8uXLR58+fZRkdMSIEYSGhjJlyhR8fHzo0KEDM2bMICwsjKpVqwL65edLlChB9+7d6dSpE2XLllWS1datW79WspqSkkLXrl2VZNXNzY0vvviC4cOHK0vYh4WFGc29FUKIzKiaex52f1qfQQ2Ko1bB5ovhNJ9zhL1X7pu7aUIIC5CpRljfJksYYU27lUbabTSEeBcsKf6ioqIoXLgwiYmJWFlZMXPmTAYPHoxOp+PXX39l7NixaLVa7O3tCQ8PN7moW2JiIl26dGHbtm0mX6N79+6sXLnS5Ip4oN9rrkGDBkYLvKUqU6YMhw8fVkZeM2Lz5s107NgR0O8De+DAARwcHAD9/nhVq1ZVbgkODAw02pvPEllS/ImsR+Lv3bl4J5oxG/24Ealfgf3DSoX4tm158mR7Pz93iT1hTuaKP4seYX3f2draKv8J8a5ZUvytX79eWajI19eX0aNHky1bNrJnz85nn33G0KFDAf3m88+v4JvKzs6OLVu2sH37dtq0aYOLiwuFChWiffv27N27l9WrV6ebrIJ+77KzZ88yePBgg83ac+fOzejRozlx4sRrJasA+/fvV46/+uorJVkF/cbbw4cPVx7//fffr/UamY0lxZ/IeiT+3p3KbrnZMbweQxuVwEqtYvvlezT/4TC7/CPM3TSzkNgT5mQp8ffWVgkWQoi35datW8pxu3btjMrbtWun3C6c9tznqVQq2rRpQ5s2bV6rHYUKFWLhwoXKXHu1Wk3JkiWVBeJe17Nnz5TjtAtEpXJ1dVWOU/eLFUIIS2FvY8UXrTzwruDMmA1+BD94yrA1F2hd0YXJbcuTN7tM7RJC/EtGWIUQFiftiKaphDTtc2nPfZvtqVixIhUqVPjPySroR29Tbd682ah806ZNJs8VQghLUrFILv4cXpfhTUpipVax0y+CFnOOvLejrUII02QOayaaw/rkyRN0Oh0qlQonJydzN0e8Zywp/k6cOEHdunUBKF26NCdPnlTmqUZFRVGrVi1u3LgB6FfbrVmzptna+jrSrmJsY2PDzJkz6devH/Hx8cyePZtZs2YB+tuD79y5kyUWmrOk+BNZj8Sf+QWEP+HzDZcJuq//rtba04XJ7bL+aKvEnjAnc8VfRvMySVgzUcIqS5sLc7Kk+NPpdNSoUYNz584BkCdPHrp06YJOp2P9+vVER0cDUKNGDU6dOmWwerClGDFiBPPmzXvhOQsXLmTw4MHvqEVvlyXFn8h6JP4yh6QULfMOXOeXQyFotDryZLNlSrsKtK7oYu6mvTUSe8KcZFsbIYR4S1QqFWvWrKFAgQIAPH78mAULFrBw4UIlWS1YsCCrV6+2yGQV4IcffmDAgAEmy9RqNdOmTcsyyaoQQgDYWqv5rEUZtvnWxcM5B4/jkvD9/QK+ay4QFZto7uYJIcxERlgz0QhrZGQkGo0GKysr5Yu4EO+KJcZfaGgo48ePZ+PGjcreqTY2Nnz00Uf873//o2jRomZu4X934cIFFi9ejJ+fH1ZWVtSuXZtBgwYpc1cvXbrEkiVL8Pf3x9ramtq1azNw4MA3+t6TkpIIDw/H2tqawoULv5V+0xLjT2QdEn+Zz/OjrXmz2fJd+wp4e2at0VaJPWFO5oo/uSU4HZaQsAohXs+jR48ICAgAwNPTk7x585q5RW9fSkoKvr6+LFq0yKgsdW/a0aNH/6fXuHfvHjNmzGDFihXExMQA4O7uzrBhwxg+fPgbWWAK4MGDB1y/fh1bW1s8PT0NtvERQrzfnp/b2vb/923N/Z7u2ypEViAJazokYRVCZCWffvopP/300wvPWbp0Kf369XvhOTqdjuPHjxMQEIC1tTV169albNmyBAUF0aRJEyIiTK/WWb9+fXbv3v2fVmH29/fn66+/Zvv27Wi1WgBy5cpF//79mThxIjlz5nztuoUQWUdiioZ5+2+w4LB+tDVfdjumdfCkebnX2+taCGFekrCmQxJWIURWERoaSvHixZVVhKdPn07fvn2Ji4tj9uzZzJ07FwBnZ2fu3LmDjY2NyXr27NnDqFGjCAoKMni+UaNG3L17l5CQEAAcHBxo3rw5T5484fDhw8p5gwcPZuHCha/1Ho4dO0arVq2Ii4szWe7l5cXBgwfJlSvXa9UvhMh6Lt/9h882XOZGZCwAHSoX5psPy+PkaLqPE0JkTpKwpkMSViFEVjFlyhQmTpwIwMSJE/n2228Nytu1a8eff/4JwNChQzlz5owyglqnTh2GDRuGRqOhc+fOyshmesqXL8/ff/+Ns7MzoN8mqGnTpjx79gw7OzvCw8MzfAt2fHw8xYsX5/79+wC4uLjg4+PD48eP2bx5M0lJSQD07duXZcuWZahuIUTWlpCsYc7f11h85CZaHRTMacf0DhVp7CHzP4WwFJKwpsMSEtaAgACSkpKwtbWlQoUK5m6OeM9I/FmO3r1789tvvwHg5+eHp6enQflvv/1G7969X1iHjY2NslBVrVq16NWrFzExMfz666/cvn1bOW/r1q20a9fO4NqRI0fy448/ArBmzRq6d++eofavXLmSPn36ANCwYUN2795NSEgISUlJhIWF0bNnT54+fYqtrS1hYWHkz58/Q/ULkVHS/1me86HRjNlwmZuP9HdpdK3uyoQ25chuZ23mlmWMxJ4wJ3PFn2xrY8E0Gg1arRaNRmPupoj3kMSf5Ui7KNG9e/eMyk09V6pUKQoVKqQ8Tk1W27Vrx/Hjxxk2bBjjxo3j8uXLODo6KueZWlgp7V5t//zzT4bbv3v3buV4ypQpODg4KPFXtGhR+vfvD+hXJz548GCG6xcio6T/szxVi+Zm16f16V+vGCoVrDt7l1Zzj3D6ZpS5m5YhEnvCnCwl/iRhzUTs7e2V/4R41yT+LEfTpk2V46lTp5KY+O/+hA8fPuSHH35QHufNm5cTJ05w7do17t69y5o1awz2pvX19TX4RTNnzpxUrlxZebxmzRqj19+/f79y7OKi32JCo9HwqjfspJ23mro9T9r4S30OIDY29pXqFOK/kP7PMtnbWPF1m3KsHViLwrkcCIuOp+viU/xvVyAJyZn7C3gqiT1hTpYSf5KwZiJlypShQoUKlClTxtxNEe8hiT/L0b59ewoXLgzA0aNHKVeuHBMmTGDUqFGULVuWyMhI5dzp06dTu3ZtANRqNd27d6d48eJK+cWLF43qr1+/vnK8detWDh8+jE6nIyUlhV9//ZXff/8d0K/oGxQUhIeHB9bW1tja2tKoUSM2bNjwwrmxafeI3b59O2AYfzt27DB5rhBvi/R/lq1W8bzsGVmfLtVc0elg0ZGbtP35GAHhT8zdtJeS2BPmZCnxJ3NYM9EcViGEeFVHjx6lZcuWxMfHv/C84OBgSpcubfDcRx99xMaNGwFo0qSJwYipTqejfv36HD9+3OAaNzc3YmNjefz4sfJc/vz5efjwocnX7dq1K7/99hvW1sbzyc6ePUuNGjUAfdK7aNEifHx8ePr0KTNnzmT69OnKa968eRMrK6sXvkchhEi17+oDxm/241FsEjZWKkY2K83gBsWxtpLve0JkFjKHVQgh3gP169fn2LFjNGnSxOB5a2trSpYsqTy+cOGC0bVpt4o5ePAg48ePJzAwkNOnT9O5c2clWbWzs1POu3PnjkGyWqBAAYNktVKlSri7uyuP161bx+TJk022vXr16rRt2xbQz4Ht3Lkz2bNnJ2/evEqyCvDtt99KsiqEyJDm5Qqyd2QDWpV3JlmjY9beYD769SS3HpneQksIkfnJCKuMsAohLFxISAj+/v5YW1tTvXp1AgICaNasGaCfI7p//37l1trjx4/TvHnzl47MqlQqNm7cSExMDIsWLeLq1avY2NhQr1496taty5gxYwD9KOiOHTvw9PREp9Pxxx9/0KNHDzQaDU5OToSHh5MtWzaj+p8+fUqnTp3466+/TL72tGnT+OKLL1763uPi4ti0aRPBwcHY2dnRqFEj6tevbzBPVwjx/tHpdGy9FM7EbVd4mpCCw//Pd+1Ww1X6ByHMTLa1SYclJKxhYWFoNBqsrKwoUqSIuZsj3jMSf1mHTqejWrVqyuiqjY0NjRo14unTp5w6dUo5z8vLCz8/P6P5pjly5GDx4sV06dLFZP1Dhgzh119/BWDt2rV07drVoLxv376sWLECgE2bNtGhQweT9Wi1Wvbu3cvixYvx9/fHxsaG2rVrM2bMGDw8PF76Hn/++WcmTJhATEyMQVnFihVZtWqVwWrGQryI9H9Z171/4vnsj8uc/P/Vg5t6FGBGp4rky273kivfDYk9YU7mir+M5mWWtVlVFhcVFUVycjI2NjbSaYl3TuIv61CpVGzatInGjRtz+/ZtkpOT2bdvn8E5DRs2ZNeuXURFRbF8+XKuXLmCtbU1devWpWfPnuTMmTPd+tMu6lS3bl2j8rp16yoJa+q5Go0GtVptMLKhVqvx9vbG29uby5cvK/H3smQVYObMmYwbN85kmZ+fHw0aNODEiROUL1/+pXUJIf1f1lUolwNrBtRk2fFbzNwTzP6gSFrOOcKMjhVpVq6guZsnsSfMylLiL/MMLwohhHhj3N3dOXv2LOPGjSN//vzK86VLl2bu3Lns3bsXR0dHXF1dmThxIuvXr2fNmjUMGzbshckq6LfKSXXmzBmj8rTPHT9+3GAV4SZNmrBp06ZX3gLHlLt37/LVV18pj3v27MmOHTtYtmwZnp6eAMTExDBy5MjXfg0hRNahVqsYUL842z6pi4dzDqLikhiw6hzjN/sTl5hi7uYJIV5CbgnORLcEP3v2DJ1Oh0qlwtHR0dzNEe8Zib+sS6PREBkZibW1Nfny5fvP87f27t1Lq1atAChZsiR79+5VtsrZtWsX7du3Jzk5GZVKlW5i2qNHD1auXKksqpSR+Js0aRLffvstAKNHj2b27NlKWVxcHBUqVOD27dsAXL9+3WARKiFMkf7v/ZGQrGH2X8EsOXYLnQ7c8zoyp4sXld1ym6U9EnvCnMwVfzKHNR2WkLAKIYQl0Gq1VKlShcuXLwNgZWVFnTp1iI6OJiAgwOQ1lSpVIjo6mjt37ijPTZo0iW+++SbDr9+6dWt27doF6BecSruvLOhXF540aRJgeo6tEEKcCHnEZ39cJuJJAlZqFcOblOSTxiVl+xsh3gHZ1kYIIcRbpVar2bp1K8WKFQP0I7hHjx41mawWLVoUf39/Ll26xO3bt1mzZo3yD9KPP/7Is2fPMvz6aX9nNTVanPYfvPfkN1khRAbVKZGPPZ82oG2lQmi0Oub+fZ2Pfj1JaJRsfyNEZiMJqxBCiAxzd3fn3LlzfP311xQqVEh5vkqVKtSvX195PHPmTCpUqADok8vu3bvTvXt3AKKjo40Wg3oVVatWVY5TVytOFR8fz8qVKw3aI4QQpjg52vBTt8r82NWLHPbWXLzzDx/8eJQ/zt6VH7uEyEQkYc1E4uLiiI2NJS5Oft0T757En8ioPHnyMHnyZMLCwvjnn3+IjY3l/Pnz5M7971ywevXqGV2XNqFNXUU4I/E3YMAAZRR1xowZDBw4kAMHDrBu3Trq169PSEgIAI0aNaJMmTIvrS8+Pp6QkBDCwsLkS+p7Svq/91s7r8Ls/rQ+NYrlIS5Jw9hNfgxdfYHouKS3/toSe8KcLCX+JGHNRG7cuEFQUBA3btwwd1PEe0jiT7wulUqFk5MT2bJlAwxXET579qzR+WlXEU49N7348/f3Z+TIkXh7e9O+fXvmzJlDjhw5mDhxonLOkiVLaNq0Kd26deP8+fMAZMuWjTlz5ryw3Tdv3mTgwIHky5ePkiVL4urqioeHB/PmzSMlRVYOfZ9I/yeK5HZk7cBafNHKAxsrFXuu3Kfl3CMcufbwrb6uxJ4wJ0uJP0lYhRBCvFGdOnVSjseOHaus2Av6VYRTb9nNkSMHLVq0MFlHUlIS/fr1o2LFivz444/s2bOHbdu2MXr0aNzc3ChdujQzZswwuaph6dKlOXjwIF5eXum28dy5c1SrVo0lS5YYzKO9du0aI0aMoH379iQlvf3RFXOKi4tjwYIF1KpVC2dnZ0qUKIGvry9Xr141d9OEMAsrtYqhjUqwZVhdSuTPRuTTRHovO8O326+QkKwxd/OEeG/JKsGZaJXge/fuodFosLKyMpgTJsS7IPEn3hSNRoOXl5eyCJOVlRV169YlOjoaf39/5byxY8cyY8YMwDj++vfvz7Jly9J9DbVazc6dO6lduzbr1q0jODgYOzs7GjVqRPPmzV/Yt8fHx1OyZEnu3bsH/Js4R0REcOLECeW8L7/8kqlTp/6nzyKzunXrFi1btuT69etGZWq1mp9//pmhQ4fy7NkzduzYQWhoKNmyZaNly5aUKFHCDC1+u6T/E8+LT9Lwv12B/HYqFIAyBXPwYzcvPJxfvE91RknsCXMyV/zJtjbpsISEVQghsoqbN2/SpEkTQkNDTZa3bduWjRs3YmNjY1QWEBCAp6cnAPb29kydOpVu3brx8OFDpk2bxrp16wCoUKECfn5+Gd5XdsWKFfTt2xeA2rVrs3PnTmXe7d9//02rVq3QaDTkzp2bsLCwLLc3YkJCAl5eXgQHByvPFSpUiEePHhmMKvfv35/NmzcTHR2tPKdSqfjwww9ZtGgRBQsWfKftFsIcDgZFMmbjZR7FJmFrrWa8twd96rj/5/2shXifybY2QgghzK548eKcO3eOCRMm4OzsrDxfpUoVli5dyubNm00mq4DByOp3333H6NGjcXFxoWLFiqxZs4bq1asD+sQ27XzYV7Vt2zbleNasWQaLRDVr1kzZtzU6OpqjR49muP7M7o8//lCS1TJlynD+/HnCw8OJjIxkxIgRynlLly41SFZBv03Qn3/+Sf369YmKinqn7RbCHBp7FGDPyAY0LpOfpBQt326/Sp/lZ3n4NNHcTRPivSEJqxBCiLciX758TJkyhXv37vH48WNlFeF+/fphZWWV7nVpR/5Sk8dUarXa4Lm056bn4cOHnD59mkuXLpGUlMQ///yjlFWqVMno/LTPPXnyJN16nz17xq+//krNmjXJkycPhQsX5uOPPza50FRmsnr1auV4yZIlytY/Tk5OzJ071+iW3x49erB27VqmTJlCgQIFALh+/TrffPPNu2u0EGaUL7sdy/pUZ3K78thZqzl87SGt5h7hQNADczdNiPeCJKxCCCHeKpVKRe7cuZVVhF/Gzs5OOX740HiFztStcJ4/93n+/v506NABZ2dnatWqReXKlXF1deXRo0fKOfv37ze6Lu1zLi4uJusODw+nevXqDBkyhDNnzhAdHc29e/dYtWoVNWrUYMqUKS9+k2YUFhYG6G+3rlu3rkGZSqUyuAVL/8m8AAAgAElEQVR6wIABrF69mq5duzJhwgTOnDmDg4MDACtXriQ2NvbdNVwIM1KpVPSu7c724fXwcM5BVFwS/VacY+K2AFmQSYi3TBLWTCQoKAh/f3+CgoLM3RTxHpL4E+aUNv4aNmyoPD916lS0Wq3yOCIigqVLlwL6xZxM7fMKcPjwYWrVqsWWLVsMro+MjFQWgwL49NNPlRHRxMREZsyYwd69ewEoWrQoderUMao7JSWFNm3aGKym6+rqapCQT5w4kVWrVmXoM3hXnJycAP1c1rQrOKe6deuWcvzxxx8blBUtWpSOHTsCEBsba/BZWjLp/8SrKl0wB1t969K/XjEAVp0M5cN5xwiMiHmt+iT2hDlZSvxJwpqJJCYmKv8J8a5J/AlzSht/H3/8MTly5ABg48aNVK9enVmzZjF27Fg8PT2VEdIOHTpQuHBho7ri4uLo1KmTsl2Ns7MzgwYNon379ka3IoeGhlKjRg2KFStGgQIFGDdunFL25ZdfolaruXz5Mhs3bmTnzp08fvyYnTt3cunSJQDc3d05c+YMd+7c4eHDh3z77bfK9d99951BspxZfPjhh8rxqFGjSEhIUB7/+eefBqOm1apVM7o+7QisRpM1Rpak/xMZYW9jxddtyrGyXw3y57DjemQs7eYfZ8XxW2R0LVOJPWFOlhJ/skpwJlol+MqVKyQnJ2NjY0P58uXN3RzxnpH4E+b0fPxt2rSJzp07p5vwubu7c+LECZO37C5evJhBgwYB0KRJE3bs2KHcxnrhwgXq1q1LQkICKpUq3S+X48ePp1GjRowfP54LFy4oz9vb2+Ps7KyMTO7YsYPWrVsbXNu4cWMOHToEwKlTp6hZs2aGPou3LTIykhIlSiiJqbOzM82bN+fmzZscP37c4NyVK1fSu3dv5fGTJ08oUaIEUVFR2NjYEBERQd68ed9p+98G6f/E64qKTWTsRj/2B+mnKjTxKMCsThXJmz396QppSewJczJX/Mm2NumwhIRVCCHEv/766y/Gjh3L5cuXleesrKzo2LEjc+bMSXfPuPbt2ysrAZtKGAcNGsTixYsBGDZsGGfOnOH69evY29vTuHFjPvnkE8LCwujevftLR0gTExOxtbU1eG7q1KlMmDABgM2bN+Pj45OxN/4O7N69Gx8fn5f+qu7o6MhXX31FmzZtuHHjBlOmTFFGl7t27cratWvfRXOFyNR0Oh2rToYydVcgSSla8uew44fOlahfKr+5myZEpiQJazokYRVCCMuj0+m4cOECQUFB2NnZUadOnZdubt60aVMOHDgAwOPHjw22rQH4/vvvGTNmDAC///473bp1Myh/+PAh7u7uyi3FXl5edOzYkYiICFatWmVwy+zZs2eNbpvt0qULf/zxB6BfwKlJkyav8c7/pdPpiI+Px9bWFmtr6/9UV1oXL15k6tSpbN26Vbm1t0yZMgwfPpyDBw+yadOmdK/NkycPp0+fpmTJkm+sPUJYusCIGIavvciNSH0fMbhBcT5rUQZba/muKURasg+rEEKILEOlUlG1alV69OhBp06dXpqsgn5hoFS7du0yKk/7nJubm1H58uXLlWS1W7dunD9/ngkTJjB//nwuXbpksDLxyJEjiYn5d7GVffv2sXHjRkC/rY+pRZteVUREBOPGjcPFxYVs2bJhZ2dH8+bN2b59e4bnyZlSuXJlNm7cyMOHD/H39+fWrVsEBgbi6+vLmjVr6Nu3r8nrSpUqxYEDByRZFeI5ZV1ysv2TevSoqe9Xfj1yk04LT3DrUZyZWyaEZZMRVhlhFUKILOXw4cM0atQIgPz587N8+XK8vb2JiYlh+vTpzJgxA4CSJUsSHBxs9O9Aq1atlJWCg4KCKFOmjEH5wIEDWbJkifI4V65ctGjRgnv37nHs2DHl+YkTJxoswpQRfn5+NG/e3GALn7RGjBjB3LlzUalUr1X/qwoJCWHVqlWEhoaSPXt2vL29adWq1Qv30RVCwJ6A+3yxyY8n8ck42loxpV0FOlYtYu5mCZEpyC3B6bCEhPX+/ftoNBqsrKxwdnY2d3PEe0biT5jTm4w/nU5Hs2bNlNuCAbJnz058fLzBqrarV6+mR48eRtc3bNiQI0eOAPpFhnLmzGlQ/t133/H111+/sA1t2rRh+fLlrFixgmXLlhESEoKDgwPNmjVj+PDhBlv3PO/Zs2d4eHhw9+5dAGxsbKhRowZ3797lzp07ynkLFixgyJAhL2yHeDXS/4m3IeJJPCPXXeL0rccA+FQuzJT2Fchu9++t/RJ7wpzMFX9yS7AFe/DgARERETx48MDcTRHvIYk/YU5vMv5UKhUbN2402KM1NjZWSVZVKhWzZs0ymayC/pbXVBs2bDAo02q1Bs+1bdvW4BbhUqVK8dNPPzF79mxq1KjBmDFjCAwMJCkpiSdPnrBp0yYaNWrEl19+me5tvWvXrlWS1apVq3Lr1i2OHTvGrVu3WLBggXLerFmzzL5tTlRUFAsWLGD8+PFMnTqVixcvmrU9r0v6P/E2uDg58PvAWoxuXhq1CrZcDKfNT0fxD3uinCOxJ8zJUuJPElYhhBBZTu7cuZWFg7y9vSlRogTly5fH19eXK1eu8Pnnn6d7bb9+/ZTjUaNGsXjxYp48eUJgYCDdu3fHz88P0O9Rum3bNqKioggODubOnTsEBwczePBg2rdvz61bt5R6ypYtS548eZTH06ZNY/ny5SZfP3XBJoBffvlF2WtWrVYzZMgQmjZtCsDNmzcNttx5lzQaDePHj6dw4cIMGzaM6dOnM2HCBKpUqULDhg0JDQ01S7uEyGys1CpGNC3F+sG1KeRkz+2oZ3RYcJwlR2++kbnoQrwP5JbgTHRLcExMDDqdDpVKZXQLmhBvm8SfMKfMFH86nY4OHTqwdevWdM9Rq9Xs2bOH5s2bG5WtX7+erl27AvpVd7ds2ULZsmVJSkrixx9/ZOzYsQCUKFGCa9euGf07VKVKFS5evIhKpTI5gvr111/z3XffAfoFpLy9vV/7vb6utFsDmeLq6srp06dN7pObGWWm+BNZ1z/Pkhi70Y+/rupHsxqXyc83rYqT29FGYk+Yhbn6Prkl2ILlzJkTJycn6bCEWUj8CXPKTPGnUqlYs2ZNuvunOjo6snbtWpPJKmCwN+n8+fMpW7YsALa2towZM0bZ5iYkJISzZ88aXZ8/v37vRp1OZ7L81KlTBudGR0fj5+dHSEiIQYKr0+k4cOAAvXv3pn79+rRq1Yo5c+YQHR39so/ghY4fP64kq9bW1owYMYK9e/cyf/58ZYXmu3fvMmnSpFeqLzY2lpCQkHQXmHoXMlP8iawrl6Mtv/aqypR25bG1VnMw+CGdl13iyqNkiT1hFpbS90nCKoQQQjzH0dGRTZs2cfLkSQYMGEDDhg1p2bIlM2fOJDQ0lM6dO6d77f3795Xj1NWK00q74JKpeUNp6x46dCjh4eGA/hfpBQsW8PfffwNQuHBhpk2bRv78+alUqRIlS5akdOnS/PTTTzx69IjmzZvTtGlTfvvtN44dO8bevXsZPXo07u7u7NixI8OfSapff/1VOZ47dy4//vgjLVq0YNiwYZw8eZLs2bMD+kWtnv8FPa3Lly/TpUsXcufOTcmSJSlYsCDVqlXj999/l1slRZalUqnoVdudbb51KVkgO5FPE+mx5DSz/womRWPeOelCZFZyS3AmuiVYCCGE5fP29mbPnj0AnDlzhurVqxuU+/j4KLcbHzlyhPr16xuUP3v2f+zdd1hUR/vw8e/Si4DSQRQUVLDG3tBYEmssIUpsMcYWa4wxxmjaY9Tok6bRaBIfE01ijz2WaGLBHk3ELlZQQJAivbO77x/7cn6sC2JBF+T+XFeusDvnzM5Zboe9d+bMZFKnTh2ioqKA4lcJNjc3Jy8vr8g2ODk5kZiYWGwbzc3NCQkJoXXr1g99fQEBAYSFhWFhYUFKSgpWVlZ65a+//jq//PILAH///TctWrQwqGPHjh288sor5OTkFPkaY8eOZfHixU982x4hjCkzN5+Z2y6y7h/dImstfBz5ZuBzeDhYG7llQjxZMiW4HMvJySE7O7vYP+BCPEkSf8KYnqX4CwoKUn5+++23uXv3rvJ448aNSrLq7u5Oq1atDM63sbFhx44duLq6ApCXl8eRI0f0klULCwslWXVzc+P111/XG7ktSFadnZ1ZtWoV6enpnDt3jt69eyt1fvzxx490fQXfc6tUqiITysIfOJKTk/nhhx/44IMPmDdvHmfPniU6Oprg4GDld+3i4kJwcDANGzZUzvvuu++KXZTqSXiW4k+UHzYWZnzaqw5fvlIPW0tTTkTcpcc3h9h7qWyv2CqeHeWl73sqI6xpaWnMmjWL06dPExoaSkJCAp988kmx97ecOnWK9957j+PHj2NmZkanTp348ssvqVmzpsGxixYtYvHixYSHh+Pp6cmwYcOYMWMG5ubmeseVhxHWM2fOkJeXh7m5OY0aNTJ2c0QFI/EnjOlZir+MjAxq1apFTEwMALa2tnTo0IGoqCjOnDmjHDdz5kwcHBxYsWIF169fx8bGRtmntWXLlsTExLBw4UKWL1/OnTt3MDExoXPnznh5eSnJXM+ePdmwYYMyyvnHH3/oLcK0fv16+vfvrzzOy8vD39+fGzduABAREaHcd/qgBg8ezOrVqwHd9ODRo0crZXFxcfj5+ZGWloaZmRlmZmZkZ2frne/j40NERASgS+5XrlyJtbU1Wq2W5cuXM2LECADq1avHuXPnnsoo67MUf6J8KYi9hGwVi0OzOBet2/JmRGANpnXzx8Ks7HxOFc8eY/V9ZXKENTExkaVLl5KTk0Pfvn3ve2xYWBgdOnQgNzeX9evX89NPP3HlyhXatWtHfHy83rFz5sxh0qRJBAUFsXv3bsaNG8dnn33G+PHjn+TlCCGEEMWytbVl27ZtVKlSBdAlsDt27NBLVnv16sWvv/7K22+/zenTp0lLS+POnTusWrWKVq1aMXv2bDw8PJg7dy4xMTFkZGSQk5PDnj17uH79ulLP/Pnz9abkduvWDTs7O+VxwZY4BczNzfX+Dheu60G9+eabys8TJkxg6tSphISEsGzZMtq0aaN8CMnPzzdIVgElWVWpVCxcuBBra2vl8fDhw5VpyhcuXHik9glRHnnYmbFhbGuGt60BwI+Hw+n3/VFuJmYYuWVCGN9TSVi9vb1JSkoiJCSEuXPn3vfYjz/+GEtLS7Zv306PHj0ICgpix44dxMfH8+WXXyrHJSYmMnv2bEaNGsVnn31Ghw4dmDp1Kp988gnLli3j4sWLT/qySl2VKlVwdHRUPuQI8TRJ/Aljetbir1mzZpw6dYpx48YpixCBbsua//3vf1y/fp1r164pz/v6+uolmh999BErV64EdImcjY0NZmZmgG4bAgBTU1P8/PwMXrvw60VGRhqUFyziBCjJ4sNo164dr7/+OqAbsf3yyy/p0KEDo0aNMkgwTU1NmThxIrt27eKbb77By8tLKbO0tDRIqAG9b/mTk5Mfun2P4lmLP1F+FI49SzNTPu5Vl/8NbUZlG3PORqXQc+Fhfj9z29jNFM+octP3aZ+y+Ph4LaD95JNPDMry8vK01tbW2jfffNOgrEuXLtpatWopj1euXKkFtMeOHdM77vbt21pAO2fOHL3n1Wq1Njk5We8/tVpdOhclhBBCFCM3N1cbFRWlTUxM1Gq1Wu26deu0gBbQ1qpVS3vmzBmtVqvVZmZmamfOnKmU+fv7azUajUF9PXv2VI7Zu3evXplGo9G6ubkp5cHBwXp1nD59Wmtubq4FtFWqVNFmZmY+0jXl5eVpJ0+erNRV+D8nJyfl58WLF+udFxUVpTUxMVHKjx8/rleuVqu1tWvXVsojIyMfqX1ClHfRSZnaV5Yc0XpP2671nrZdO33TWW1Wbr6xmyVEqXjYvMzsaSbHJbl+/TpZWVl6Cy8UaNiwIX/++SfZ2dlYWVlx/vx5ABo0aKB3nIeHB87Ozkr5/Vy4cAFvb2+9vYdycnIICwsDdN86VK9eXe+cq1evkpmZCWAw1zshIUH55rp69ep631ao1WqlTXZ2dgb344aHhyvfmterV0/5Jh103zDfvHkTAE9PT2WPvgJnz55Fq9VibW1N7dq19coiIyOVBT/q1KmjN3WsYO87AFdXV4MN3i9evKjMa69bt65eWUxMjLJnnq+vr943+tnZ2Vy+fBkAR0dHqlWrpnfulStXyMrKQqVSGfyu4+PjuX1b902it7c3lStXVsry8/O5cOECoNs3qkaNGnrn3rhxQ5mKVr9+fUxNTZWypKQkZcGSqlWr4uzsrHduwVQ9GxsbatWqpVd269YtZd9Cf39/LC0tlbLU1FTCw8MB3cIn7u7ueudeuHCB/Px8LC0t8ff31yu7ffu2Ms3dz88PW1tbpSwzM5OrV68CutU+C49KAFy+fJns7GxMTU2pX7++XllcXJxy75yPjw8ODg5KWW5uLpcuXQLAwcEBHx8fvXOvX79Oeno6oPu3VfhegsTERGXVUi8vL5ycnJQyjUbDuXPnAN3ojq+vr169ERERpKTo7ssJCAjAwsJCKUtJSVGmCHp4eCgLzRQ4f/48arUaKysr6tSpo1cWFRWlLC5Tq1YtbGxslLKMjAxlBMvFxQVPT0+9c8PCwsjJycHMzIx69erplcXGxirbjdSoUUP6CKSPKK0+AmDVqlVK+bRp09BqtYSFheHv78/HH3/MX3/9xaFDhwgLC2PdunUEBATo9RFDhgxhx44dAAwbNozFixfTq1cvUlJSmDlzpt5WOevXryc8PJzevXsTHh7O6tWrlcWa+vTpQ25urt4o68P0EV9++SXTpk1jzZo13Lp1CxMTExo1asSHH35IYmIiVlZWyv2ohfuIunXrKrE+bNgwtm7dioWFBbdv3+bbb7/lypUrgG77Hy8vL+kj/j/pI/7Ps9xHFHyO8KxszdrRrfhgzVHWn09h9d+3OHUzicWDm+Dronuv5HOEjvQROuWxj3hQZSphLQgYR0dHgzJHR0e0Wi1JSUl4eHiQmJiIpaWl3j/Owsfebzn/Avn5+QZ7vWm1WuWPeX5+fpHnFLeNgEajUcoKb95e4EHrvbdNhetVq9VF1qvVag0Wmio4/nHqLe5aC9d777UWfg+LqrfgWotaSONB6y0rv5uSrjUvL4/8/PwibyK/3+/mQerNy8srsux+9RacW1K9RXnQ97Co8wu36V4lXWtubi4ajUbvg0NR9T7qe1jUe/Sg9ZaVOJQ+wrDesvK7KepaCz5MAzRu3Ji8vDy9PqJTp04cOnQI0H3o8fPz06s3KCiIunXrcvHiRSIjI+nduzfu7u7cvXuX3Nxcg/adPHmSkydP6j1Xv359hg8f/th9hJubG2+//TagSxRu3rxZ7CrCBedVq1ZN+VAVFhZGnTp18Pb2JjY2Vm+lyhkzZhT7HhYmfYRhvdJHlO8+ooCZqQkD61eidhUVC0+kEhabRu9Fh/ksqAF9nqsqnyP+P+kj9Nv0IPWWlT7iQT10wnrgwAE6duz4QMeGhoby3HPPPXSj7rciYOGyBz2uOGZmZgbHqVQq5ZdR+JuHwucU9csC3VL+BWVFJSgPWu+9bSpcb1H/2MzNzdFqtUXWa2pq+lj1Fv5/cfXee62F38Oi6i241qJ+Rw9ab1n53ZR0rQXXWdJ7+Cj1qtXqIsvuV2/Bufer93Hfw5Ku9V4lXauFhQVqtfqJvIcajeah/92UxTiUPsKw3rLyuynqWgt/Ix4eHo6fn59eu06fPq38XLlyZYP3wsLCgs2bN9O9e3dltd/Y2Fi9a5kxYwbOzs4sXrxYGWUB3cjFq6++yogRI7CxsXkifURAQACRkZFkZWWxcuVKhg8frpybmJjIwYMHDc4t+Ga/oJ4lS5bQpUsXQPqIe9v0IPVKH1G++4h7623mVYklHg4s+ieN4zfuMmntaY7fSGR0M0f5HIH0Efe26UHqLSt9xIN66G1tYmJilKlIJQkKCjIYLU1ISMDFxaXIbW0uX76Mv78/ixcvZty4cXplU6dO5auvviIzMxMrKyumT5/OvHnzyMjI0Bu+B92w/Ysvvqgsuw/lY1ubq1evkp+fj5mZmcF0EiGeNIk/YUwVKf6WLFmirGbfoUMHtm7dqkwX27ZtG3369AF0+7TeunWr2A8umZmZrFq1iuXLlxMeHo6trS1dunRh/PjxyvQ0rVZLaGgoERER2Nra0qZNG73FnZ6Effv20blzZ0D3QfGdd96hR48eXLlyhblz5yrTw1577TXq1avHL7/8QmRkJHZ2dvTs2ZO33nrLYIrik1aR4k+ULQ8Te2qNlm/2XmXRvqtoteDvbse3g5rg51rpvucJURxj9X0Pm5c99Airh4cHI0eOfLTWlcDX1xdra2tlDnth586dw8/PT5kXXXDv6rlz52jZsqVyXGxsLAkJCU/9j11pyMzMVO71EOJpk/gTxlSR4m/IkCH85z//IT4+ngMHDlC9enU6d+5MZGSk3tTdt956677vh42NDaNGjWLUqFHFHqNSqWjSpAlNmjQp1Wu4n44dOzJo0CBWr15Nbm4u8+bNY968eXrHeHp6MnfuXKpWrcq0adOeWtuKU5HiT5QtDxN7piYq3nmxNi18HHl7XahuivC3h5nzcn1ebuxV4vlC3Ku89H1lZ3gR3VB1r1692LRpk17WfevWLfbv309QUJDyXLdu3bCysmLFihV6daxYsQKVSlXifq9CCCGEMdjb27N582ZlpDMlJYVNmzbpJav9+/dn6tSpxmriY1GpVKxYsYIJEyYUOX2sefPmHDx4sMgtbR5FVlaW3qI2QjzrAms5s/OtdrSu6URmrprJ684wbcNZsnIf/R5BIcqyh54S/Kh27dpFRkYGaWlpDB8+nP79+xMcHAxAjx49lGm9YWFhNG/enCZNmvD++++TnZ3Nxx9/zN27dzl9+rTeqlVz5szho48+Yvr06XTp0oWTJ0/y4YcfMnToUJYuXar3+uVhSrAQQoiK48qVK8ybN481a9aQnZ0N6BZDmjhxIiNGjHis+33Kitu3byurCNvb29O9e3dat279QOtMlOTs2bP897//ZcOGDcpiU4GBgUyePJmXX365VF5DiLJMrdGyaN9VvtmrmyJcx82OxYNlirAo+x42L3tqCauPj4/eogqFhYeH6y2L/e+//zJt2jSOHTuGmZkZnTp14ssvvzRY4hpg4cKFLF68mIiICNzd3XnjjTf44IMPDIa2JWEVQghRFmVlZRETE4ONjQ1ubm6SaD2A7du3069fP71VhQubMmUKX3zxhbyXokI4ei2Bt9aeJiE9BxsLU2b3rU9QE5kiLMquMpuwGpskrEIIIUT5kpqaypYtW4iKisLOzo4ePXpgaWlJnTp1lH0KnZycaN++PRcvXlT27gRYtWoVgwYNMlbThXiq4tKyeXvtaY5e123rGNzMi5m962NtUf5naohnjySsxZCEVQghhCgfNBoNM2fO5KuvviIjI0OvrFatWspWPUFBQfz666/Y2Nig1WpZvHgxEydOBKBJkyb8888/MsoqKgy1Rsu3+66xYO8VtFqo7VaJJYOb4Of6ZFcGF+JhScJajPKQsCYkJKDRaDAxMcHZ2dnYzREVjMSfMCaJP1HYmDFj+OGHH+57jImJCVFRUXh4eCjPabVamjZtSmhoKKDb37V69epFnq/RaPjzzz9ZtWoVERER2NnZ0a1bN0aOHIm1tXXpXYwQ9/Ek+r6j1xOYtPY08Wk5WJvrpgi/0lSmCAtDxvrb+8S3tRFPTnR0tLK0tHxgE0+bxJ8wJok/UeDgwYNKsmpiYsKIESPo1q0bYWFhLFiwgPj4eEC3rU/hZBV0KxQ3btxYSViTkpKKTFjv3LlD3759OX78uN7zO3fuZO7cuWzZsoUWLVo8icsTQs+T6Pva+OpWEX57XShHriUy5bcz/B2eyKd96mNlLlOExf8pL397y87wohBCCCEqvO+//175edGiRSxdupSgoCBmzJjB0aNHlSm+6enpnD9/Xu9cjUZDSEiI8tjNzc2g/pycHLp162aQrBaIiYmha9euXLt2rTQuB41GQ2pqKvn5+aVSnxAPwsXOkl+Gt2TyC7VRqWD9P1H0XXyE8ISMkk8WooyRhLUMqV69OjVq1Ch2+pIQT5LEnzAmiT9RoCCRtLGxYcSIEXplfn5+1KtXT3k8ZMgQZQeCjIwMJk+ezPXr1wHo3Lkz7u7uBvWvWrWK06dPA+Dl5cWGDRuIiIhgx44dyqhqcnIyc+bMeazruHTpEqNGjcLBwQEHBwdsbGwICgri8OHDgG768tGjR5kwYQKvvPIKI0eOZOfOnajVspdmRfIk+z5TExWTXqjFyhEtca5kQVhsGr0WHWbnuZhSfy1RPpWXv71yD2sZuodVCCGEqOgKtsGzt7fn7t27BvvR9uvXj40bNyqPTUxM8Pf35+bNm8oCTSqVij179vDCCy8Y1N+2bVuOHj0KwKFDhwgMDFTKUlJS8Pb2JiUlBSsrKxISErC1tX3oa9ixYwf9+vVT9te91+zZs/nrr784cOCAQVndunXZsmULtWrVeujXFaI4d1Kzmbg6lBMRdwEY1saHGT0CsDCTz8Hi6ZNFl4ohCasQQghR9vXu3Zvff/8dgHXr1hEcHKyUxcXF4evrS3p6erHnm5iYsGTJEt58880iy11cXEhISMDT05OoqCiDVYQHDBjAunXrADh//jxJSUncvn2bypUrExgYiI2NzX3bHx4eTr169cjKygJ0nzWaNWvGxYsXuXPnTslvAFC1alX++eefIkeIhXhU+WoNX+65wvchulkIjapVZvGgxnhVuX9MC1HaHjYvk2xNCCGEEGXG6NGjlZ+HDx/OnDlzOHXqFKtWraJ9+/ZKsjpkyBBmzpyJn58fVlZWuLq6MmLECE6dOlVssgpgaWkJ6EZTixoBLZxUduvWjXbt2vHqq6/StWtXqleFi/EAACAASURBVFatyowZM8jNzUWr1bJv3z5GjBhB9+7dGTRoEOvWrWPhwoVKshoUFER0dDT79u0jMjKSqVOn6r2Wu7s7K1asICIigs2bNxMQEADoFkL54osvHvEdFKJoZqYmvN/dn2VDm2FvZcaZyGReWnSY/WFxxm6aEPclI6xlaIS18H0r906BEuJJk/gTxiTxJwpoNBr69OnD9u3biz3Gw8ODkydPUrVq1RLry8zMJC4uDnt7exwdHRk6dCi//vorAHPmzGHGjBlK/IWEhNC5c+cS6+zUqRPZ2dnK1OLCTE1NUavVWFhYEB0drbfyplqtxsbGhtzcXAD27NnDiy++qJRHR0fj6+tLTk4OVapUIS4uDjMz2dDhWWasvi/ybibjV5/ibFQKAOM7+vLOi3UwNZF9iysSY8WfTAkuRnlIWM+cOaMsLd2oUSNjN0dUMBJ/wpgk/kRhWVlZjB07ll9++YV7P6Y0atSI9evXU7t27fvWERoayn//+182btyorNDbtm1bXnrpJaZPn64c17VrV+rWrcuVK1fYvXu3wWq+Xbp0oXPnzpw7d461a9c+8Gq/fn5+XL161eB5MzMz5UPijRs3qFGjhl55jx492LVrFwCRkZF4ecn+mc8yY/Z9Oflq5uy4xC/HdAuXtfF1YuHAxjhXsnyq7RDGY6z4k31YhRBCCFGuWVtbs2LFCj766CNWrVpFZGQk9vb2vPTSS3To0MHgvtN7bd26leDgYGUks8CRI0c4cuQIrVu35tixYwDs3r2b3bt3F1lPwQhsgWHDhukt5FS1alW+/PJLOnfuzJkzZ5g2bRqnTp0CdMloXFwcrq6uyvFqtRqNRqM8dnBwMHjN5ORk5Wdzc/P7XqcQj8PSzJRP+9SnqXcVpm86x9HrifRceIjFg5rQzMfR2M0TQiEjrGVohPXGjRvk5+djZmZGzZo1jd0cUcFI/AljkvgTpeXmzZsEBAQo95G6uLjQvn17Lly4QFhYmHLcqFGj2LNnj7ItDkClSpXQarVkZGRgZ2dHXFwcVlZWevXb2dkp99Fu3ryZvn37KmUFiznl5eUB0LNnT1auXEnlypXJycnh/fffZ8GCBcrxP/74I8OHD1ceHzp0iPbt2wNQu3ZtwsLCSkzORflWVvq+q3fSGLvqFNfi0jEzUfF+d39GBNaQ+HvGGSv+ZEpwMcpDwiqEEEKIxzNt2jQ+//xzAIKDg/n555+xsrJCq9WyaNEiJk2aBECzZs04fvw4R44c4fbt2zg4ONC+fXu8vLxITk6mWrVq3Lp1y6B+CwsLJSG9cuWKwfYz3bp10xuxtbGxoXHjxly6dIm7d+/qHatSqRg8eDAdO3YkNDSUZcuWKQtBLViwQGnrozpx4gTr1q3jzp07ODk5ERQURPv27SUJEUXKyMnn/U3n+P3MbQC613fn834NsbOSkX5RuiRhLYYkrEIIIcSzr06dOly5cgVTU1Oio6Nxc3NTyrRaLU2aNOH06dNA0feItmzZkhMnTgBw/PhxWrZsqZQlJyfj6Oio3FeblJRE5cqV9c5v164dhw8fvm8bC09JLkqnTp3YtWsXFhYWD3DFhhISEhgwYAB79+41KGvRogUbNmygWrVqj1S3eLZptVp+OXaT2TsukqfWUsPZlu+GNMHf3d7YTRPPENnWRgghhBAVVlJSEgCenp56ySroRjQLLyxS+H7RAiNGjFB+Dg4OZsuWLaSnp3P06FF69uyptwjUzz//rHduSEiIkqxWr16dcePGKQmtlZUVAwYM4Pjx4xw+fJhZs2ZRpUoVvfOtrKwYP34827dvf+RkNSsriy5duhSZrIJu1LVjx47K+yREYSqVitfb+LDuzdZ4OlgRnpBB38VH2PhvlLGbJiowGWGVEVYhhBDimdGoUSPOnj0LwNWrV/Hz81PK1Go1tWrVIjw8HIC4uDhcXFz0zs/KyqJFixacP3/+gV6vb9++yqJLv/zyi7LQ0/z583n77bfRarXk5uZiYWFhMBU3MzOT3bt3ExsbS+XKlenWrZtBEvuwFi9ezIQJEwBwc3Nj9uzZBAYG8s8///DRRx8REREBwMcff8zMmTMf67XEs+1uRi6T1oZy6GoCAANbVOeTXnWxMpetx8TjkSnBxSgPCWt4eLhy4/O9y9wL8aRJ/AljkvgTpeW///0v77//PqCbertmzRq8vb1JS0tj2rRpfPfdd4Buu5qCe03vjb+YmBh69+7NP//8Y1C/h4cHHTp0YM2aNcW24cUXX3ysUdLHUThhP3HiBM2bN1fKrl27hr+/P2q1Gk9PT6KiouR+ViMr632fWqNl0b6rfLP3Klot1K9qz3eDm1LN0cbYTROlwFjxJ1OCy7HU1FRSUlJITU01dlNEBSTxJ4xJ4k+UlpEjRypbyRw7doyaNWsSEBCAu7u7kqyqVColqQXD+PPw8OD48ePs2LGDgQMH8vzzz9OnTx9++uknrl27xqpVq1iwYAHu7u56r12pUiUmT57Mtm3bjJKsarVaZWS4bt26eskq6PaGDQwMBOD27dsGi0CJp6+s932mJirefqE2K95oQRUbc85Hp9Jz4SH+unjH2E0TpaCsx18B2YdVCCGEEM8MJycndu7cSffu3YmPj0ej0ehtZ2NiYsLSpUvp2LHjfesxNTWlR48e9OjRo8jySZMmMW7cOPbv309MTAyVK1emY8eO2NuX7uI0UVFRxMbGUqVKFWrWrKk3Ipqens7OnTu5c+cOjo6OdOvWDVNTUzQaDRkZGWi1WoMR1IIteQDMzORjoHgwz9d2Ycdb7Ri36hSnI5MZ+cs/jO3gy5QXa2NmKuNf4smSKcFlaEpwfn6+8sdF/oiIp03iTxiTxJ8obXFxcfzwww/8+uuvREVF4eDgQO/evZk4cSL169fXO7Ysxt/OnTuZO3eu3orDDRs25N1332XAgAHMnDmThQsX6n22sbKywtHRkdu3dduS/Pbbb/Tr108pDwkJoUOHDoBuBPbChQtP52JEscpi7N1Pbr6Gz3ZeYsXRCABa1XRk4cDGuNpZ3f9EUSYZK/7kHtZilIeEVQghhBBi4cKF992D1d/fX2/UuDjm5uaMHDmSdu3acfLkSb7//nuysrIA+Pbbbxk/fvx9z4+Li2PLli3ExcXh7OxMnz598PDweLiLEc+k38/c5v2NZ8nIVeNiZ8m3AxvTsqaTsZslyglJWIshCasQQgghyrp///2X5s2bK9vnBAQE0L59e0JDQ5X9YQuYmpoybNgw2rVrx6lTp1i6dCnZ2dklvkZJ+7xmZ2czefJkfvzxR/Ly8pTnzczMeO2111i0aBG2traPcZXiWXAtLp1xq/7lyp10TE1UTO1ahzfb15SFvESJJGEthiSsQgghhCjrhg4dyq+//grAu+++y+eff64kAIW3rAFYtWoVgwYNUh4fOHBAuTfX0dGR7OxsMjMzlXILCwuGDx/O119/jbW1dZGvn5+fz0svvaSsoFyU559/nj179hhlYSlRtmTm5vPB5vNsDo0G4IUAN77q3wgHG3Mjt0yUZZKwFqM8JKzJycloNBpMTEyUjcaFeFok/oQxSfwJYypL8efk5MTdu3ext7cnNjZWL7HUarWYmpoqo69JSUkG7W3evLmyHU94eDiHDx8mLi4OR0dHevbsabDv7L1WrFjBG2+8AYC1tTUTJkygTZs2nDhxgoULF5KRkQHokucRI0YQEhJCfHw8zs7OdOjQAUtLy1J7LyqCshR7j0qr1bLmRCT/2XaBXLWGao7WLBnUlAZeDsZumiiBseLvYfOysn93dwVy8+ZN8vLyMDc3L7edlii/JP6EMUn8CWMqS/FX8CHO29vbYBT03qmWGRkZBu11cPi/JMHGxoYhQ4bc9/Xi4uKIj4/HyclJb+sfgE2bNtGtWzcA+vbtS7du3Xj++ecB+PTTT5k5cyZxcXHK8S4uLkyaNIn3338fU1PTB73kCq0sxd6jUqlUDGpZnQZVHRi3+l8i72bxyndH+aR3XQa1qC5ThMuw8hJ/ZWd4UQghhBCigvPy8gLgwoUL3Lp1S68sPT1d78N/RESEXnlERAQhISEAuLq64uzsXOzr7Nmzh06dOuHm5kb9+vXx8PCgbdu2nDx5EoDatWvTtWtXvXPat29Po0aNALhz545esgoQHx/Phx9+yLBhw9BoNA9x1eJZ0MDLge0T2vFCgBu5ag0fbD7PO+vPkJmbb+ymiXJOEtYyxNPTEy8vLzw9PY3dFFEBSfwJY5L4E8ZUluJv6NChgG7KXHBwMJcuXQLg1q1bDBw4UC8R7N+/P8uXL+fGjRusX7+eF198kfx8XXIwYsSIYqfXLVq0iK5du7J//369548ePapMN7aysipyZKxgSjDoRtb69+/P119/zauvvqocv3LlSn777bdHfQsqlLIUe6XBwcac/w1tyvTu/piaqNgcGk2fb49wLS6t5JPFU1de4k/uYS1D97AKIYQQomKLi4ujQYMGBlNt4+PjlccqlYr7fXzz9vbmn3/+KXKE9e+//6ZVq1bKYz8/P9q0acPJkyeV5LjAiRMnaN68ufL43LlzNGzYUHn8yy+/8NprrymP165dy8CBAwEIDAzk0KFDD3LJ4hn1941EJq4JJS4tBxsLU+YGNaDPc1WN3SxRBjxsXibZmhBCCCFEGeHq6soff/yBu7u78lzhZLVSpUqsXbtWuZf0Xs899xz79+8vdjrwN998o/z87rvvcvnyZX7++WcuXLjArFmz9I7t2bMn3377LaGhoXz//fd06dJFKXN0dDS4P/bVV1/Fz88PgMOHD5Obm/uAVy2eRS1rOrHjrXa0rulEZq6aSWtP89GW8+Tkq43dNFHOyAirjLAKIYQQooxJTk5mxYoVrF69mtjYWBwdHQkKCmLUqFF4eHig1Wo5fvw4a9as4c6dOzg6OvLKK6/QqVOnYj/baLVa7OzsyMjIoEqVKsTExOit6qtWq/H29iY6OrrE9jVr1ky537WwwMBAjhw5AugWkKpUqdIjvgPiWaHWaJn/5xW+3X8NgEZeDnw7qAnVHG2M3DJhLLKtTTEkYRVCCCFERaZWqzEz020Q0bx5c06cOGFwTJcuXfjzzz+LrcPS0pKcnBxMTEy4cuUKvr6+SllERAR+fn6o1Wo8PT2JiooiLy+P1NRU7O3tZd/WCm5/WByT158mOTMPB2tz5r/aiE7+bsZuljACSViLUR4S1rNnzypLSxe+R0SIp0HiTxiTxJ8wpooUf+7u7ty5cwcLCwsiIyNxdXVVytLS0qhatSppaWnY2toSEhLCpk2blG1v+vXrx44dO/jkk08A8Pf35+uvv6Z169YcP36cKVOmcPHiRQCGDx9OWloaW7ZsUd7bvn37MmXKFFq2bFkq13Ljxg22bNlCYmIirq6uvPLKK8oqy+VFRYo9gKikTMavDuVMZDIA4zv6MvmF2piZlp3P4xWJseJP9mEtx7RarfKfEE+bxJ8wJok/YUwVKf6GDBnCV199RW5uLoMGDeKnn36ievXqxMTEMGbMGOVD5MCBA2natClNmzbVO79GjRr89NNP3Lx5k7CwMHr06GHwGlWqVGHFihV6Kxrn5eXx22+/sXHjRn788UeGDRv2yNeQkpLCqFGj2LBhg97vbMqUKQwdOpRvv/0WG5vyMd20IsUegFcVG357szWf7bzEiqMRLN5/nVM3k1k4sDEudpYlVyBKVXmJP/k6owyxtrbGxsbGYKNwIZ4GiT9hTBJ/wpgqUvy99dZb2NvbA7B37158fHzw8fHBy8uLbdu2Abr3Y8qUKUWe7+joyN69ewkICCiy3Nvbm5SUFCVZdXV1pVu3bri4uAC6kZWRI0dy6tSpR2p/VlYWXbp04bfffjP4kK1Wq1m+fDl9+vRRtvcp6ypS7BWwMDPhP73rsWhgY2wtTDl2I5GXFh3i35tJxm5ahVNe4k+mBJehKcFCCCGEEE/a4cOH6d27N0lJhgmCra0tGzdupGvXrvetIz8/n99//53169eTkJCAk5MTwcHBrF+/nnXr1gEwZswYvvnmGywsLMjJyWHSpEn88MMPAAwePJiVK1eW2Nbk5GTu3r2Lk5MTDg4OfP3110oyXblyZd59912aN2/O4cOH+frrr5V9YpcvX/5Yo7ji6bgWl87Ylf9yNS4dc1MVH79UlyGtvIvcA1g8O+Qe1mJIwiqEEEIIoXPnzh1++OEH1q5dS3x8PI6OjvTv358xY8Y88n2gGo0GW1tbsrOzcXR0JDo6GisrK6U8KyuLqlWrkpSUhJWVFRkZGcV+DtuzZw9ffPEFf/31F6Dbe7Zr166cP3+eqKgowHCf2D179iiJdsuWLTl+/PgjXYd4ujJy8nlvw1l2nIsBIKhxVea83ABrC1Mjt0w8KZKwFkMSViGEEEKIJyc9PR07OzsAnn/+eQ4cOGBwzPPPP8/BgwcByMjIKPJe06+++op33333vq9VVEKq1WqpXbs2165dw9TUlLy8PBmpKye0Wi3LDoUz748w1BotAR72/DCkKdWdyse9yOLhPGxeJtmaEEIIIYR4bDY2Ntja2gIQGhqqTM8tkJ6eTmhoKKCbelzUfXMhISF6yWqNGjUIDg6mWrVqesdlZWUZnKtSqTA11Y3KVZDxmGeGSqViVPuarBzREudKFlyKSeWlRYfYHxZn7KaJMkAS1jIkMjKSiIgIIiMjjd0UUQFJ/AljkvgTxiTxVzpMTEwIDg4GIDU1ldGjR5Oamqr3uGBUZcCAAUWOfn799dfKz9OnT+fatWusW7eOGzduMHHiRKXs7NmznD17Vu/ckJAQLl++DEDjxo3LxeiqxJ6+1r5O/D4xkMbVK5Oanc/wn08y/88raDTyBcSTUF7iT6YEl6EpwWfOnFH2QmrUqJGxmyMqGIk/YUwSf8KYJP5Kz/nz52natCm5ubmAbiS1Xr16nD9/nszMTAAsLCw4deoU9erV0zs3NzcXGxsb1Go1Hh4e3Lp1CzOz/9uBMTs7mypVqpCdnQ2Ai4sLM2bMUBZdmjt3LikpKQAsXbqUUaNGPY1LfiwSe0XLyVcze/slfj1+E4AOdVxY8OpzVLaxMHLLni3Gij+ZEiyEEEIIIYyifv36rF69GgsLXWKRkZHBiRMn9JLVNWvWGCSroJsyrFarlXoKJ6sAVlZWNGjQQHkcHx/P5MmTCQwM5P3331eS1bZt2/L6668/kesTT4elmSmz+tbnq/6NsDQz4cDleF5adJjz0SnGbpowAhlhLUMjrNnZ2Wi1WlQqld6qekI8DRJ/wpgk/oQxSfyVvkuXLrFw4ULWrVtHUlISVapU4dVXX2XSpEn4+/srx+Xm5pKamoq9vT0mJiY4ODiQmZmJvb090dHRVKpUSTn27t27VK1alezsbMzNzcnLyzN43f79+/Pjjz8qiz+VdRJ7Jbt4O5UxK//l1t1MLMxMmN2nPsHNq5V8oiiRseJPVgkuRnlIWIUQQgghnjVqtVpZDKnA8ePH+eqrr9i6dSt5eXlYWFjw8ssvk5mZye+//w7AK6+8wvfff4+zszOxsbGMGDGCnTt3AvDWW28xevRoNmzYwN27d3F1dSU4OJhatWo99esTT15KZh7vrD/N3v+/CNOA5tX4T+96WJnL1jflkSSsxZCEVQghhBDC+H788UdGjx6NRqMxKDMxMVG2pAEwNzfH19eXa9eukZ+fD+juiz179iw1a9Z8oNcrKmEW5Y9Go2XJgWt89ecVtFpoUNWBJYObUM1Rtr4pb+QeViGEEEIIUSadOHFCL1l1cXGha9euODs7A7oPsmq1WpmemJeXR1hYmJKsVqpUiS1btpSYrJ49e5bhw4fj4OCAmZkZzs7OTJgwgWvXrj1wWyMjI1m8eDGzZ89m2bJlJCQkPMoli1JiYqJiQqda/DK8BVVszDkXnUKvbw9z4LJsffOskxHWMjTCmp6ejkajwcTERO+eDSGeBok/YUwSf8KYJP6engEDBrBu3ToAxo0bx/z587GwsCAnJ4cJEyawbNkyAIKCgqhRowa//fYbiYmJuLi4MGDAAMaNG2ewJ+u9Vq5cybBhw5QFnAqztrZm48aNdO/evdjzU1JSGDt2LOvWrdMbBba0tGTMmDF8/vnnyqJSj0ti79FEJ2cxbuW/nIlKQaWCtzvXZmInP0xMyv5WRmWJseJPpgQXozwkrLK0uTAmiT9hTBJ/wpgk/p6O/Px8bG1tyc3NxdnZmaioKCwtLZXyzMxMPD09SUlJwdbWlrS0tIfeS/XkyZO0bt1aSVbt7OwICAjg3LlzZGVlAbqk9dy5c/j6+hqcn5WVRYcOHThx4kSxrxEUFMTatWvZvXs3mzdvJikpCQ8PDwYNGkSbNm0eqs0Se48uJ1/NzN8vsvrvWwB08ndlfvBzONiYG7ll5YdsayOEEEIIIcT/l5GRoezP2rBhQ71kFcDGxob69esbHPswvvjiCyVZHTFiBDExMfz9999ER0fTt29fQJeULly4sMjzFy1apCSrDg4OfPLJJ2zevJm3335bGVXdtGkTNWvWpFevXvz0009s3ryZJUuWEBgYSKdOnWTq8FNiaWbKZy834It+DbE0M2FfWBwvfXtItr55Bj2VEda0tDRmzZrF6dOnCQ0NJSEhgU8++YT//Oc/BscOGzaMn3/+2eD5OnXqEBYWpvdcXl4en332GcuXLycmJoYaNWowfvx4Jk6caHB+eRhhjYmJURYG8PDwMHZzRAUj8SeMSeJPGJPE39OhVquxs7MjKyuLypUrEx0djY3N/y2Yk5qaStWqVUlPT8fOzo6UlJSHGq3MycnBzs6OvLw8XF1duXXrll5SXHhbHFdXV+7cuaN3vlarpWbNmkRERKBSqTh58iRNmzZVyjds2ED//v1LbEeTJk04cuTIA20TIrFXOi7cTmHMyn+JvJuFpZkJs/vWp38z2fqmJMaKvzI5wpqYmMjSpUvJyclRvt26H2tra44dO6b3X8H9DoWNGzeOuXPnMn78eHbv3s3LL7/MpEmT+Oyzz57EZTxxHh4eeHl5SYcljELiTxiTxJ8wJom/p8PU1FRJ+JKTkxkzZozyoTU1NZXRo0eTnp4O6O51fdjpwMnJycrqws2bNzcYwXV0dKRu3boAxMXFce+YTVxcHBEREQAEBgbqJaugmwpsa2urPK5Xrx5bt27l5s2b/Pzzz7i7uwNw6tQpfvnllwdqs8Re6ajn6cD2Ce3oWMeFnHwNUzecZcbmc+TkG97HLP5PeYm/pzLCWvASKpWKhIQEXFxc7jvCumHDBqXDKs6FCxdo0KABc+bMYfr06crzo0ePZuXKlURFReHo6Kg8Xx5GWIUQQgghnmVnz56lWbNmSmJZqVIl6taty/nz58nMzAR0ixuFhoYSEBDwUHVnZ2dTqVIl1Go1np6e3Lx5EzMzM6U8NTUVDw8PMjMzcXJy4uTJk2zdupW7d+/i5uZGYGAgzz33HAAvvPACf/75p179ubm5WFtbKwsx3b59W++D/tGjR2nbti2gS5jvdx+seDI0Gi2L9l1jwV7d1jeNvBxYMqQpVStbG7tpopAyOcKqUqke+luykmzZsgWtVssbb7yh9/wbb7xBVlYWf/zxR6m+nhBCCCGEeDwNGzZk5cqVmJvrFsZJT0/nxIkTesnq2rVrHzpZBbCysqJnz56ALpl87733lMQ4KyuLCRMmKK/j4OCAr68vkydPZtasWUyYMIFmzZphba1LbA4cOMD169f16t+0aZOSrFauXNlgVKpNmzbKdjsXL14kOzubffv2sXHjRo4dO1bkvrOidJmYqJj0Qi2WD2uOg7U5Z6JS6LXoMIevyn3F5ZlZyYc8fVlZWbi7uxMfH4+Hhwd9+/bl008/1RsxPX/+PC4uLsr0iwINGzZUykty4cIFvL29sbe3V57LyclR7pWtUqUK1atX1zvn6tWrSmd372paCQkJREdHA1C9enWqVKmilKnVaqVNdnZ2BvuHhYeHk5qaCuimmBT+RjA5OZmbN28C4OnpiYuLi965Z8+eRavVYm1tTe3atfXKIiMjuXv3LqC7D7jw/RTp6elKZ+zq6mrQ8V68eFFZOaxgCk2BmJgY4uJ0+175+vrqLYWdnZ3N5cuXAd30m3uXn79y5QpZWVmoVCrl91UgPj6e27dvA+Dt7U3lypWVsvz8fC5cuACAvb09NWrU0Dv3xo0byrc19evX19skPCkpiVu3dKvIVa1aVdnvrcCZM2cA3YIPtWrV0iu7desWSUlJAPj7++tNMUpNTSU8PBwANzc3g3i8cOEC+fn5WFpa4u/vr1d2+/Zt4uPjAfDz89ObZpSZmcnVq1cBcHJywsvLS+/cy5cvk52djampqbJARYG4uDhiYmIA8PHxwcHBQSnLzc3l0qVLgO6PtY+Pj965169fV2Y3NGjQQO+brsTERKKiogDw8vLCyclJKdNoNJw7dw7QfVt+78qLERERpKToFkEICAjQ2w4gJSVFmYLl4eGBq6ur3rnnz59X9uSrU6eOXllUVBSJiYkA1KpVS+9eqIyMDGW/PRcXFzw9PfXODQsLIycnBzMzM+rVq6dXFhsbq9zbVKNGDekjkD5C+ggd6SN0pI/QedQ+Ijg4GFdXVxYtWsSff/5JWloajo6OBAcHM2nSJHx8fJR/cw/bR4wcOZJt27YBMH/+fNasWUOjRo04efKkch2g6w/ulZ+fr+z3mp+fT8eOHfnkk09o3LgxO3fuZN68ecqx976HZ86cIT8/X+kL1Go11apV01uAycvLiw8//JDRo0crAznSR+iUdh/RoY4r2ycGMnbVv5yPTmXoT38ztLEjH/drpbf1jfQROsbqIx5UmUtYGzVqRKNGjZR/PCEhIcyfP5+9e/dy8uRJ5UNPYmKiXgJbwNbWFgsLCyX47ic/P9/g/gWtVqt8G1fQad17TkH5vTQajVJW1LdoD1rv5cuX9QK/cL1F7SmWl5eHVqtVvq0sTK1WK+fee60PUm9x11q4qUU5WAAAIABJREFU3nuvtfB7WFS9Bdda1Kj7g9ZrrN/N/eKluPcwPz+/yCkO9/vdPEi9eXl5RZbdr96Cc4uq9+LFi2RlZRV5Djz4e1jU76Bwm+5V0rXm5uai0Wj0koui6n3U97Co633QestKHD4LfUThD7YFdUsfUbb6iML1FqU89xFxcXHEx8frJVbSR6Ac/yT6CD8/P6ZPn8706dPx9fXV++CdlZX1yJ8jmjdvztSpU/nyyy/RarXExsYSGxurlKtUKuU6qlSpwjvvvEOTJk04dOgQCxYsIDs7Wzk2MjKSkSNHFtn+q1evcvjwYQIDA5Vr3bJli5KwZmdn69UFuuRozJgxREZGMnv2bABu3rwpfcQ99ZZWH1HN0YYNY9ow/qcQ9oZnseLUXaKy/uWr4EY4WJuXeK0V4XNEwd9elUpllD7iQT10wnrgwAE6duz4QMeGhoYq9wI8qMmTJ+s9fvHFF2ncuDH9+vXjf//7n175/aYZP8gUZDMzM4PjVCqV8sso/M1D4XOK+mUBmJiYKGVFdSwl1Vvg3iAtXG9Rf5DNzc3RarVF1mtqaqqce++1Pki9hf9fXL33Xmvh97Coegvew6J+Rw9a79P+3RT3HpZ0rQXXWdJ7+Cj1Fqzq9jD1FpxbVL2FO92i2vug72FJ13qvkq7VwsICtVr9RN5DjUbz0P9uymIcPgt9ROEPOdbW1tJHUPb6iIKyx30Py2IfoVarDT78SR+BcvyT7iPuLX/czxGDBw+mbt26bNq0iV27dikjlEFBQezdu5e4uDhUKhV//fUXTZo0AaBHjx7UqFGDN998E9DN0igYjSqsVq1aysjliy++yIgRI3juuefYvHkzu3btMnh/+vXrh7e3NwcPHuTvv/8GYM6cOXTv3p22bdvqJRbSR5R+H2Flbsrktq74u6Sy9N9k/rp0hz7fHub715ri725f4T9HFPztLdzep9lHPKiHXnQpJiaGHTt2PNCxQUFBBqOgJS26VBSNRoO9vT09e/ZUVgseOHCg0ukUlpGRQaVKlZg+fbreasHlYdGl+02vE+JJk/gTxiTxJ4xJ4u/ZlZubS1paGvb29iQnJytTygMDAzl06JDesVqtFh8fH27duoWFhQUHDx5k8+bNJCUl4ebmxsCBA/H19aV79+7s27evxNfeuXMn3bt3Vx7PmzdPWSh0wIABrFmzRmLvKToblczYlaeITs7CytyEeUEN6du4qrGbZVTGir+HzcseeoTVw8Oj2OkRT5JWq9W7iAYNGrB27VpiY2P15vsXzH+/dz5+eSAdlTAmiT9hTBJ/wpgk/p5dFhYWyr2Shcdoihopuvf5li1b0rJlS4Njtm/fznvvvcePP/5IVlaW8nzlypVJTk5Wzi2crIJuFuG8efNISUlh3759XL16lT/++IPk5GTlvsF77x18ViUmJvLTTz+xa9cu0tPTqV69Oq+//jo9evR4rJG4+2noVZnfJwYyaW0oh64m8Pa604TeSuKDnnWxMCs7A1hPU3np+8rFb2fDhg1kZmbSqlUr5bk+ffqgUqn4+eef9Y5dsWIF1tbWdOvW7Wk3UwghhBBClFHOzs7KwjkHDx5UFr4psH//fmUxpoKpwkWxtrZm0aJFREdHs2bNGr777js2b97MkSNHlGPuXaAHdCsgFyTPd+/epXbt2kyZMoVZs2YxduxYvLy8mDx5crH3L5YnarWabdu2MWbMGAYPHsyMGTOUxZq2b99OjRo1eO+999i/fz8nT55k48aN9O7dm8DAQGUhqSfB0daCFW+04K1OfgD8fOwmA5YeIzYlu4QzhTE9lX1YAXbt2kVGRgZpaWkMHz6c/v37ExwcDOjuG7CxseHmzZsMGjSIAQMG4Ofnh0qlIiQkhAULFuDr68vff/+ttwLaqFGj+PXXX5k9ezbNmzdnz549zJ07l9mzZzNjxgy91y8PU4KFEEIIIcSTM3PmTOWWNA8PDz744AOaNWtGSEgIn332mbIS7U8//WSwdWJJsrOzcXJyIjMzEzs7O27evKm3mFRoaOh9E+EC/fv3Z926dY+1JWRcXBzLli1j+/btpKSk4OXlxZAhQ+jfv7/eKq5PwpkzZ+jXr5+ywm5hL774IiEhIeTm5hZ7fvPmzTly5Eix93GWlr2X7jB53WlSs/NxrmTBooFNaO3rVPKJ4rE9bF721BJWHx8fZbnke4WHh+Pj40NSUhIjRowgNDSUO3fuoFar8fb25uWXX2bGjBl6y2qD7kbhOXPmsHz5cmJjY/Hx8WHChAlMnDjR4DUkYRVCCCGEqNhSUlJo3bq1MtpXlPbt2/PXX389UsI0atQoli1bBkDbtm356quveO6559i7dy8TJ07U207H2dmZKVOm0LBhQ/bt28eiRYuURG7jxo1kZ2ezdetWUlJSqFq1KoMHD6Zjx44lJrI7d+7k1VdfVbaXKczf359du3YZbEdTWq5du0bLli31thAqTt++ffnvf/9LzZo12bFjB+PGjVO2LVu/fj39+/d/Im0s7GZiBmNWnuJSTCqmJire61qH0e1rPtaXBaJkZTZhNbbykLDGxMQoK7Y96j5FQjwqiT9hTBJ/wpgk/iqWO3fuMHjwYPbu3WtQ1r9/f3788Ufs7Oweqe4bN27QtGlT5V7W4piamnLu3DkqV66sxN6BAwcYNGgQAFZWVgbb4oAuCd60aZPBfsQFQkNDad26NTk5Ocpz99ZVu3ZtTp06pTdrsbQMHjyY1atXA9C4cWNmzpyJn58fu3bt4qOPPlL2F3VzcyMyMlLvS4Hdu3crt/R1796dnTt3lnr7ipKVq+aDLefYdEq3v2m3eu580b8hdlZPdoS3LDBW3/eweVnZydYEcXFxxMbGGqx8LMTTIPEnjEniTxiTxF/F4ubmxl9//UVoaCgffvgh48aN49NPP+XKlSusX7/+kZNVgJo1a7J79269BUGL8sILLxAQEKAXe8HBwcruGkUlqwBHjhyhe/fueglpYbNmzVLK+vTpw40bN8jMzOTgwYPUrl0bgCtXrvDrr78+6iUWKykpid9++w0AR0dH9u/fT69evQgICOCdd97hvffeU461tbU1GMHu0qWLkkRfv3691NtXHGsLU77q34jZfetjbqrijwux9Fl8hCt30ko+uZwrL32fJKxCCCGEEKLCee6555g1axaLFy/mo48+olatWqVSb4sWLbh27RrLli3jpZdeIjAwkH79+vHdd98pxxS1SrGJiYneqsMtWrRg//79xMfHs2bNGmUhp1OnTimjmIUlJSWxbds2ANzd3Vm7di01atRApVLRrl07Vq1apRy7YsWKUrnWwq5evaosGPXyyy8b3MrXo0cP5ec7d+4YnB8fH6+MwFpbW5d6++5HpVIxpJU3699sjYeDFTfiM+i7+Ai/n7n9VNshiiZTgsvQlOD09HQ0Gg0mJiZUqlTJ2M0RFYzEnzAmiT9hTBJ/4mnIy8vDw8ODxMRELCwsuHz5Ms7Ozkrs7dq1S1mQ1NTUlPj4eL1Fmw4dOkT79u0BaNOmDYcPH+batWukpKTg6elJYmIiDRs2BOD1118vMin19PQkJiYGNzc3YmNjS/X6Tp06RdOmTQF49dVXWbt2rV55cnKy3vUcPXqU1q1bA7oth8aNG8f3338PwNSpU/n8889LtX0PKjE9h7fWhnLkWiIAw9vWYHoPf8xNy07OUFqM1ffJPazFKA8JqxBCCCGEeHa99957fPHFFwBUr16dDz74QFl0ac6cOcoIY6tWrTh27JjeuVqtlmrVqhEdHY2trS3VqlXT25qndevWyjmBgYEcOnRI7/zk5GTc3NzIzc3F19e3yFV8H0dWVhaenp4kJydjaWnJ+fPn8fPzU8rnzZvH9OnTlcdmZmb069cPPz8/duzYQWhoqPL85cuXqVmzZqm272GoNVq+2nOZJQd0U5Nb+Djy7eDGuNo92RWWKwpJWIshCasQQgghhDCmxMREWrZsWeI9ms8//zwHDhzQey47OxsXF5ciV/8tyrZt2+jVqxegS3YnTZrEokWLABg3bhyLFy9++AsowTvvvMP8+fMB3X2s48ePp1atWuzcudNgxLU4S5cuZdSoUaXetkex50IsU9afIS0nH1c7S5YMbkIzH0djN6vck4S1GJKwCiGEEEIIY4uKimLgwIEcPnzYoMzW1paMjAxANwU4MDBQKfviiy/0Fi4C3arB9erVY9++fUWOmHbv3p26deuyZ88ezp07B+julT1//jwBAQGPfS3p6emkp6fj6OiIhYUFycnJtG3blosXLxZ7zpQpU7CwsOCHH37Q2/6mSZMmzJw5k5deeumx21WabsSn8+av/3I1Lh0zExUf9gzg9TY+svXNY5CEtRjlIWHNzs5Gq9WiUqme+KbOQtxL4k8Yk8SfMCaJP2EMJ0+eZMOGDaSkpODh4cFrr73Gpk2bmDp1KgAWFhYMHTqU+vXrs3fvXn7//Xe981euXMngwYMBUKvVjBs3jqVLl5b4ukuWLGHs2LGP3G6tVsvWrVtZsGABISEhANjY2DBw4ECmTp2Kk5MT48aNY+PGjWg0GuU8JycnZsyYweTJk1GpVGRlZXHixAnS09Px9vamXr16ZTYJzMjJZ9rGs2w/GwPAy42r8tnLDbC2MDVyyx6Psfo+SViLUR4S1jNnzpCXl4e5uTmNGjUydnNEBSPxJ4xJ4k8Yk8SfMJZ7Yy83N5cePXoUuUdsYc2bN+fEiRN6zyUlJeHm5kZeXh6Ojo7Y2toSGRmplLds2ZKPPvqInj17PnJ7tVot7777Ll9//XWR5ba2tmzdupXOnTtz69Yt9uzZQ3p6OtWrV6dHjx7l+gshrVbLj4fDmbsrDLVGi7+7HT+81hRvp9Lfz/ZpMVbf97B5meGa2kIIIYQQQoinzsLCgu3btzNjxgz+97//6d2v6urqquyX6e/vb3BulSpVcHd3JzIyEhMTE27cuMGZM2dITU3Fy8urVLbtWblypV6y6ufnR506dTh06BCpqalkZGQQFBTElStXqF69OiNHjnzs1ywrVCoVI9vVpH5VByasPkVYbBq9Fh1mwYDn6OTvZuzmPdNkhLUMjbBGRkaiVqsxNTWlWrVqxm6OqGAk/oQxSfwJY5L4E8Zyv9hLS0tj//79yrY1DRs2xN3dHY1GQ9WqVblx4wYWFhbK8RcuXKB+/foANG7cmFOnTpVqW7VaLY0aNVLuhV20aBHjx49HpVKRmprKgAED2LVrFwCzZ8/mgw8+KNXXL0tiU7IZu+pfQm8lAzCpcy0mda6FiUnZnNJcHGP1fTIluBjlIWEVQgghhBCiOH369GHbtm2Abq/T+fPn4+HhwZkzZxg6dChnz54FYP78+bz99tvF1pOWlsaqVav4/fffSUtLw8vLi9dee42uXbsW+9n42rVryihty5YtOX78uF55REQENWrUAJ5MwlzW5OZrmLX9Ir8evwlAxzouLHi1MQ425kZuWdknCWsxJGEVQgghhBDl2YkTJwgMDCQvLw/QTVN1cnIiISFBOaZatWqcO3cOBweHIus4ePAgr7zyit45BVq1asWWLVtwczOc4vr333/TqlUrAMaOHcuSJUsMjnF2diYxMREfHx/Cw8Mf6RrLm43/RjFj8zly8jVUd7Th+yFNqetpb+xmlWkPm5dJtiaEEEIIIUQ50KJFC9auXassXqTVavUSz+rVq7Pn/7V351FRXOnfwL8NDTSL7AgiCsQFREXHJSFxwV1DJEEcTdxFo2N04jIxowYTMYqjJ/omDqIxYzhq3NcsihoRxGgkE8UFjApKkMWFRUB2aLreP/hRQ9uNgkpXg9/PORy7694qb3U/3Obpe+vWzz/Xmaxeu3YNfn5+WpNVAIiLi4Ofnx8qKio0ypycnMTHv/zyCx4f8/rjjz+Qm5sLoPp625fF6J4uOPjBG3CxMUXawxIEbjqHw5cypG5Ws8KElYiIiIioiahZ1Cg4OBhdunRBmzZt4OPjg/DwcCQmJmpdkKnG559/Lt7nddCgQbhw4QKKi4tx6NAhtG7dGgAQHx+PvXv3auzr6uoqjrAmJiYiODgYZWVlAKqvhZw+fbpYd9y4cS/sfLUpLS3F1q1bMW7cOPj7+2Pu3Lm4ePFio/6fT9KltRWOfNgXvh0dUFapwoK9V7Dsh0RUKFVP35meilOC9WhKcFJSEpRKJeRyOTp27Ch1c+glw/gjKTH+SEqMP5KKLmMvLy8PLVu2hFKphIODA1JTU2FmZiaWnz59GgMHDgQA+Pr6IiYmBmlpaSgsLESrVq1gZ2eHH3/8Ee+88464j7W1Ndzc3JCQkICqqioA1SOx169fh7W1daOcx5kzZzB27Fg8ePBAo2zUqFH47rvvYG4uza1mqlQC1kcl4d/RtwAAPV1tsHFCDzha6uftfKTq+zgluAkrLS1FSUkJSktLpW4KvYQYfyQlxh9JifFHUtFl7N25cwdKpRIA4Ofnp5asAtVJqr29PYDq+3N6e3vDzc0NXbt2hYODA95++204Ojpi7dq14j75+fm4fPmymKw6ODjg6NGjjZasXrlyBW+++abWZBUADh8+jLFjx0IQBJSUlCA2NhaRkZG4fv26Rt309HRs3boVGzduxLFjx8TX5nkYGsjwj2Ee2DK5F1oo5Lh4Jw8jw87iv38+fO5jN4am0vcxYdUjMplM/CHSNcYfSYnxR1Ji/JFUdBl7pqam4uN79+5plBcVFeHRo0cAqhPRxMREsUwQBPz000/o27cv3NzcEBcXh3HjxsHKygoGBgZwdXXFZ599hoSEBPTo0aPRzmHp0qUoKSkBAAwYMABnzpxBRkYGNm7cCEvL6oWOIiMjMXbsWLRu3RoDBgzAW2+9BS8vL7z66qs4ceIEHjx4gL/+9a9wc3NDUFAQ5syZAz8/P7i5uSEiIgJA9Wj0V199hbfeegsDBw7E9OnTcfbsWY3rdusyxMsRP/69LzwcWyC7sBzj/xOHiLN/1nt/XWkqfR+nBOvRlGAiIiIiosZQVVUFd3d3pKenQyaT4cyZM+jbt69YHhwcjFWrVqnt89prr8HT0xNRUVHIzMwEAJiYmCApKQlt27bVafvv3r0LFxcXCIIAFxcXJCcni4tPAcDu3bsxfvz4px7H0dGxzhFaAJgyZQoOHTqkkTcA1SPTe/bsQYsWLerV5pIKJRYfTMCPV+4CAN7p7ox/BXaFmbG8Xvs3V5wSTEREREREagwNDTFnzhwA1SOmgwYNwqRJk7Bq1Sr4+vpqJKs7d+5EXFwctm7dipSUFHEhpfLycnz99dc6b39SUpI4QhkYGKiWrALAmDFj1BIeY2NjTJw4EUuXLoW3t7e4vSZZtbe3x9KlS/Gf//wHI0eOFMu3bdumNVkF/jd6W9/xPjNjOda/1x2fjfSC3ECGHy7fReDGX5GaU1y/kyYAHGHlCCsRERERvRQqKirw1ltvISoq6on1+vTpg7Nnz6ptu3//PpydnSEIAjp37qw2ZVgXfv31V/Tp0wcAMGHCBOzYsUOtPDMzEy4uLuLzCxcuoGfPngCqE/SJEydi165dAAAjIyMkJyfD1dVVrP/xxx+rXZ8bEBCAzz//HG3btsXhw4exYMEC5OfnAwBOnTqFQYMGNaj9//3zIWbvjEdOUTlaKOT4cmx3DPHSvN/ty4AjrEREREREpMHY2BhHjhzBokWLNBZGqj3Ft3Pnzhr7Ojk5iYsy1VzrqkvdunUTr1M9cOAAkpKS1Mo//vhj8XHHjh3FZBWovlYzICBAfG5tba2WrALVI7Q1FAoF9u/fj65du8LKygpTp05FeHi4WP7tt982uP2vutvi6Ny+6OVqg8IyJd7ffgHrfr6JKtVLMXb4XJiw6pHs7Gzcv38f2dnZUjeFXkKMP5IS44+kxPgjqUgReyYmJli9ejUyMzPx888/48CBA4iLi8P58+fFOqdOnRJX/q1x5coVsZ0192zVJXNzcwQFBQGonpbcu3dv/OMf/8CGDRswbNgw7N69W6xb+9rcGk+77vT+/fviY2tra8jl6teZ/vWvfxUfJycnP9M5OFoqsGuGD6a+4QYACIu+hWlbf0d+ScUzHe95NZW+7+W+4lfP3L17F5WVlTAyMoKDg4PUzaGXDOOPpMT4Iykx/kgqUsaemZkZhg4dqrZtyJAhiIqKwu3btzFr1iysWbMGtra2SEhIwOTJk8V6kyZN0mlbayxfvhwxMTG4evUqHj16hC+//FJrvbNnz6KqqgqGhobitppFo4DqFZHLysrUroP95ZdfxMfa7uOalZUlPn78+tmGMJYbIOTtzujWxgpLDiUgNikbI8PO4uuJPdGltdUzH/dZNJW+jyOsRERERESE4OBg8TrCLVu2wMnJCS4uLvD29sbVq1cBAK6urpIlrFZWVjh9+jQmT54MIyMjtTJXV1d4enoCqF6gafz48bh9+zaUSiUOHjyITz75RKxbWlqKYcOGISoqCrdu3cLatWvVpvymp6er3btVEASEhISIzxt6/ao2o/7igsOz+8DVzgwZeaUYvelX7LuQ/tzHbY646JIeLbqUn58PlUoFAwODRrvhMlFdGH8kJcYfSYnxR1LRx9jbvn07pk+fDqVSqVHm6uqK48ePi4mhlLKysnD69GkUFRXBzc0Nvr6++PXXXzFo0CCtba9hYGAAlUr11OObm5tj4sSJ4qJLFy5cAFB9HXBKSsoLmxZdUFqJf+y9jFM3qkdwx73aFiFve8FEbviUPZ+fVPHX0LyMCaseJaxERERERFJLTk5GeHg4jhw5gsLCQrRp0waTJ0/G1KlTxYWP9NWhQ4cwadIklJSUaJT169cPixcvxowZM3D37l2N8nfffRc3btzAlStX6jx+RESEeC3ti6JSCQiPuYX/F5UEQQC6uVhh08SecLY2faH/j75gwloHJqxERERERPrv9u3b2LhxI44fPy6OoE6ZMgXjxo2DqenTk7isrCxERETgxIkTKC4uhru7O6ZOnYrhw4fDwMAA5eXlOHjwIE6ePIni4mK88sormDJlCjp16oSCggIsWrQI27dvR2lpqXhMb29vrFy5Ev7+/o123qdvZmHenssoKK2Erbkxwsb9BX3a2zfa/ycVJqx1YMJKRERERKTftm7dihkzZmid1tupUyccP35c7RY8jSUvLw+//vorSktL4e7ujh49ekAmk4nl9+/fR2xsLEpKStCuXTv07dv3heQV6Q9LMGvHRVy7+wgGMmDhcA984NtO7f9u6piw1qEpJKxKpRKCIEAmk2kspU3U2Bh/JCXGH0mJ8UdSYeypO3nyJIYPH46a9MTQ0BDW1tbIzc0V63h5eSE+Ph4mJiaStDE7Oxvz58/Hvn371JLq9u3bY9WqVWr3c31WZZVV+PT7ROy/mAEAGN7ZEWvHdEMLhdFT9mwYqeKPCWsdmkLCeuXKFXFp6W7dukndHHrJMP5ISow/khLjj6TC2FPXt29fnDt3DgAwc+ZMhIaGws7ODnFxcZg8eTJu3boFAPjuu+8wceJEnbcvNzcXffr0wc2bN+uss2nTJsyaNeu5/y9BELD7v+kI+fEaKqpUaOdgjs2TeqF9S4vnPnYNqeKvoXmZ/mRrRERERET0UkpJSRGTVS8vL2zatAn29vaQyWR4/fXX8e2334p1t2/fLkkbFy9eLCarNjY2WLhwIdavXw9fX1+xzty5c3HlyhV88cUXGDFiBHx9fTF9+nScPXsWDRknzMnJgdm9eEx3L4StqQFuZxcjIPwcjifef+Hnpe8490CPWFpaQqlUckoISYLxR1Ji/JGUGH8kFcbe/2RkZIiPaxZHqq1fv34wMzNDSUkJ0tN1f7/S/Px87Ny5EwBgYWGB+Ph4uLm5AQA+/PBDzJ49G19//TUqKyvRu3dvVFZWivueOXMGERERGDlyJHbv3o0bN25gw4YNiI6ORmlpKTp06ICgoCBMnDgRxcXF+Oijj7Bnzx5UVFQAAAzMrOE2YQWKbN0xa8dFzBnYDv8Y6gFDg+e7rrWpxB+nBOvRlGAiIiIiopfRpUuX0KNHDwCAn58fjh49qlaelpYGV1dXAEDv3r3x3//+V6ftO3nyJIYNGwagerry5s2b1cozMjLQpk2bpx7Hw8OjzinFnp6eqKysxO3btzULDQxhMyAIlr0DAAD9Otjj3+/9BTbmxg08E+lxSjARERERETUpXbt2hYuLCwAgMjISx44dE8sqKyuxcOFC8flbb72l8/bVjHYCgL295q1m7Ozs1J6PHTsWf/zxBwoKChAREQErKysAUEtWzczM0Lp1a/H5jRs3xGTVysoK8+bNw+rVq9GrVy9AVYW86C0oOP4VTOQG+CU5B/4bziIxs+CFnqc+YsJKRERERESSksvlmDt3rvjcz88PQ4YMwd/+9je0b98e+/fvB1Cd5M2cOVPn7fPw8BAf79+/X23KLwCsXbtWfGxtbY3du3ejU6dOsLS0RFBQEL788ku1+iEhIcjOzkZGRgbOnz+vlriamZnh8uXL+Oqrr7Bo0SL89ttvGD9+PAAg/0oU3jG9iba2ZsjIK8XoTb/i4MUMNGdMWImIiIiISHILFizAqFGjxOenTp3CN998g7S0NACAkZERdu7ciVatWum8be3btxcXV0pOTsbbb7+NuLg4ZGZmIiwsDKGhoWLdUaNGaUxvfeWVV8THlpaWWLZsGczMzAAAPj4+mDp1qlju7OwsXh8LAAYGBvjss8/E5wlnT+Cnv/fFAA8HlCtV+Gj/FXz6fSIqlKoXecp6Q7+vsH3JpKSkiBc+1w5qIl1g/JGUGH8kJcYfSYWxp04ul2Pfvn0ICwtDWFgY/vzzTwCATCaDn58fli5dCh8fH8nat3r1avj6+qKiogLHjx/H8ePHtdYzNDTU2JaYmCg+dnBw0Cj38vISH9eeflzD0dFRfFxWVgYrMyNETOmN9aeSsf5UMr6Lu4NrdwuwcUJPOFkp6nU+TSX+OMKqRwoLC/Ho0SONi5CJdIHxR1Ji/JGF6W2TAAAYx0lEQVSUGH8kFcaeJrlcjgULFuDWrVu4fv06fv/9d9y7dw9HjhyRNFkFqkdCf/zxR9ja2motr0lUd+3ahaSkJHG7SqXC4cOHxecWFk++l2peXh5UKvXR0r1794qPO3bsCAAwMJBhwdCOiJjaC5YKOeLT8jEy7BfEpeTW63yaSvwxYSUiIiIiIr1iYGAAT09P9OrVS210UWrDhw/HnTt3sHnzZowZMwYjR47E3LlzcenSJcyYMQMAUFJSgh49emDWrFlYuXIlevXqhVOnTonHSExMRHR0tPi8sLAQ33zzjdrz9957DwkJCcjJycHGjRvx0UcfieXTp09Xa9MgT0f89GFfeDq1QE5RBSZs+Q1bfklp0H1f9Rlva6NHt7WpqqoSH2ubSkDUmBh/JCXGH0mJ8UdSYew1L/n5+fD19cXVq1frVb9///5wdnbGiRMnkJeXV699xowZg71790Im07wHa2lFFZYcuorvL98FAIz0boU1o71hbqL9KlCp4o+3tWnCDA0NxR8iXWP8kZQYfyQlxh9JhbHXvFhbWyM2NhYzZ86EqampWtlf/vIX/Pjjj/Dz8xO3nTlzBnv27BGT1RYtWmDlypV1ThkeO3Ystm3bpjVZBQBTY0N8+W53hPh7QW4gw5Gr97Aq8nqd7W0q8ccRVj0aYSUiIiIioqYvLy8PcXFxKC0tRbt27eDt7Q2ZTIbKykqEh4djw4YN4j1XTUxMMHbsWAQHB8PDwwMPHz7Etm3bEB0djbKyMnTo0AHTpk2rvh9rPf2WkoPlP1zF8sGt0Lm9q7gisT5oaF7GhJUJKxERERER6ZBKpUJ6ejpKS0vh4uLy1IWY6quiogIbNmzAhg0bxFWWTU1NMW7cOAQHB+vFasBMWOvQFBLWmhXBDAwMYGNjI3Vz6CXD+CMpMf5ISow/kgpjj16k8vJy+Pv74+TJk1rLbWxscPLkSfTs2ROAdPHX0LyM92HVI2lpaaisrISRkRE7LdI5xh9JifFHUmL8kVQYe/QiLV26VC1Z9fX1RcuWLXHixAk8evQIeXl5CAgIQHJyMhQKRZOJP/0ZXiQiIiIiIqIGKyoqwubNmwEARkZGiI2NxenTp7Fv3z6kpqbitddeAwBkZGTgwIEDUja1wTjCqkdat24tDssT6Rrjj6TE+CMpMf5IKow9elFiY2PFabYTJ05E//79xTIbGxusWbMGAwYMAAD88MMPmDhxYpOJP520Ljo6GtOmTYOnpyfMzc3RunVrvPPOO7h48aLW+vHx8RgyZAgsLCxgbW2NwMBApKSkaK0bFhYGT09PmJiYwN3dHcuXL0dlZWVjnk6jsbe3R8uWLWFvby91U+glxPgjKTH+SEqMP5IKY4+elSAIuHfvHlJTU1FeXo78/HyxrGvXrhr1a28rKCgA0HTiTycJ66ZNm5Camop58+YhMjIS69evR1ZWFnx8fBAdHa1W98aNGxgwYAAqKiqwb98+REREICkpCf369UN2drZa3dDQUMybNw+BgYE4ceIEZs+ejVWrVmHOnDm6OC0iIiIiIiKdUSqVCA8Ph5eXF5ydneHu7g47Ozvs2bNHrHPq1CmN/Wpvc3Z21klbXxSdrBKclZWFli1bqm0rKipC+/bt0aVLF0RFRYnbx44di5iYGNy+fRuWlpYAgDt37qBDhw5YsGAB1qxZAwDIzc2Fi4sLJk+eLM7XBoBVq1Zh6dKlSExMhJeXl7i9KawSTEREREREpE1FRQUCAwNx9OhRreUGBgZQqVQAgNWrV2PevHlQKBQ4d+4c3n33XWRmZgIAfv75ZwwdOlRn7X5cQ/MynWRrjyerAGBhYQEvLy+kp6eL25RKJY4cOYLRo0eLySoAuLq6YuDAgTh8+LC47fjx4ygrK0NQUJDacYOCgiAIAr7//vtGOBMiIiIiIiLdW758uVqy+vrrryMgIEC8h2tNsgoAixcvRsuWLdGmTRv07dtXTFZ9fHwwePBg3Tb8OUm26FJBQQHi4+MxaNAgcdvt27dRWloKb29vjfre3t44efIkysrKoFAokJiYCEBzjnarVq1gb28vlj/JtWvX4OrqqpYcl5eX48aNGwCqL1Bu27at2j7JyckoKSkBAHTr1k2tLCcnRwyGtm3bqi0PXVVVJbapRYsWGjft/fPPP5GbmwsAkMvl6N69u1iWn5+PO3fuAKgewndwcFDb9+rVqxAEAaampujYsaNaWXp6Oh4+fAgA8PDwgEKhEMuKiopw+/ZtANVfKrRq1Upt3z/++ENc6rr2aDUA3Lt3D1lZWQCAdu3aqd3suKysDDdv3gQA2Nraok2bNmr7JiUlobS0FDKZTOO9zs7Oxt27dwFUf1FhbW0tlimVSly7dg0AYGlpCXd3d7V9U1JSxG9runTpAkNDQ7EsLy8PaWlpAKoXOHh8rv6VK1cAAGZmZujQoYNaWVpaGvLy8gBAvF66xqNHj8SbMjs6OsLJyUlt32vXrkGpVMLExASenp5qZXfv3hWnubdv3x7m5uZiWUlJCZKTkwEAdnZ2cHFxUdv35s2bKCsrg6GhIbp06aJWlpWVhXv37gEA3NzcYGVlJZZVVFTg+vXrAAArKyu4ubmpvQY1138bGRmha9euat905ebmIiMjAwDg4uICOzs7sUylUiEhIQFA9ZdR7dq1U2tTamqqeL1Ep06dYGxsLJYVFBQgNTUVQPXv7+NfcCUmJqKqqgoKhQIeHh5qZRkZGeLvTYcOHWBmZiaWFRcX49atWwAABwcHjekvN27cQHl5OeRyOTp37qxWdv/+fTx48AAA4O7urjd9xKNHjwAAnTt3hlz+v+67OfQRNfFnZGQEU1NT9hHQvz4CqP6cLioqAoBm1UdUVVVBpVLByMhI/L1lH1FNX/qI2prT3xGXLl1CVVUVgOrfG/YR+tlH6MPfESUlJQgPDwdQnSvs2bMHo0ePBlD92r755pv4/fff1Y5VWFioNpLp4eGB0NBQcaGlms9eQ0ND8b3SZR9RX5IlrHPmzEFxcTGCg4PFbTUBY2trq1Hf1tYWgiAgLy8PrVq1Qm5uLkxMTNR+OWvXrTnWkyiVSjw+I1oQBPGPdqVSqXWfuhZ1UqlUYlntbzhqPO24dal93JpO7fHjCoIAIyMjjbKqqipx38fPtT7Hretcax/38XOt/RpqO27NayiTyZ75uLp+b+p6DZ92rpWVlVAqlVqnODzpvanPcSsrK7WWPem4NfvWddzH69RW39dQ27612/S4p51rRUUFVCqV2h8O2o77rK+htteovsfVlzhkH6F5XH15b5pbH/Gk97wp9xHaXn/2ERDrs49ovPfm8bZrOy77COn7CH34O+LMmTNi0j506FBxxV+g+kuJNWvWiAOBr776Kjp06IDo6GiUl5fDw8MD/v7+6N+/P0xMTJ7pfW2MPqK+Gpywnj59GgMHDqxX3UuXLqmNFNb49NNPsXPnToSFhaFnz54a5do6IG1l9a1XF7lcrlFPJpOJb0btbydr76PtzQKqP/BqyrR1LE87bk1bTE1N6zyutl82IyMjCIKg9biGhobivo+fa32OW/vfuo77+LnWfg21HbfmNdT2HtX3uLp+b+p6DZ92rjXn+bTX8FmOW1VVpbXsScet2Vfbcc3MzFBUVASVSqX1dajva/i0c33c087V2NgYVVVVjfIa1nWu9T2uvsRhc+gjzMzMoFQqIZfLxQ9F9hH61UfUlD3va6iPfYSBgQHkcrna+8s+AmJ9fegjamtOf0coFApxNI19hP72Efrwd0TNKD1QPVL/+GtYO+cyNDTEjh071Mprz8KoaVPNZ2/tJFqXfUR9NXjRpXv37tV5oe/jAgMDNUZLly9fjpCQEISGhuKTTz5RK7t58yY8PT0RHh6O2bNnq5V9/PHHWLduHUpKSqBQKLBkyRKsXr0axcXFasP3QPWw/dChQ7Fr1y5xGxddIiIiIiKipig2NlYcVfXz89PIx77//nuMGjUKADB+/Hjs3LlT102st4bmZQ0eYW3VqhXef//9Z2pcTbIaEhKikawC1dcwmJqainPYa0tISED79u3FedE1164mJCTgtddeE+vdv38fOTk5GvPxiYiIiIiImqI+ffqgTZs2SE9PR2RkJNatW4cPP/wQxsbGuHDhAubPny/WnTBhgoQtffF0Nry4YsUKhISEYOnSpVi2bJnWOnK5HP7+/jh06JBa1p2WloaYmBgEBgaK20aMGAGFQoGtW7eqHWPr1q2QyWQICAholPMgIiIiIiLSJblcjiVLlojPFy5cCEdHR7Rr1w69e/cWF1br2bMnhg8fLlUzG4VhSEhISGP/J+vWrcOSJUswYsQIzJgxAxkZGWo/tVcu69q1KzZu3IiYmBg4OTkhMTERM2bMgEwmw/bt28VFlkxNTSGTyfDFF1+goqICcrkcBw4cwGeffYagoCBMmzZNrQ2CIKCiokJtm4mJSb2udSUiIiIiIpJSr169UFpainPnzgGoXlG79rWtXl5eOHbsmNrKzvqooXlZg69hfRYDBgxAbGxsneWPN+HixYtYtGgRzp8/D7lcjkGDBmHt2rUaS1wDwL///W+Eh4cjNTUVTk5OCAoKQnBwsMbFyk3hGta0tDRx0ZHHl7gmamyMP5IS44+kxPgjqTD26Fn88ssv2LBhA2JiYlBWVoYOHTrg/fffx5QpUzTW9nkSqeKvoXmZThJWfdAUEtba9yF8/N5sRI2N8UdSYvyRlBh/JBXGHklJqvhraF6mP9kaERERERERUS0cYdWjEdby8nIIggCZTAYTExOpm0MvGcYfSYnxR1Ji/JFUGHskJanir9Fva0ONhx0VSYnxR1Ji/JGUGH8kFcYeSampxJ/+DC8SERERERER1cKElYiIiIiIiPTSSzMlWNuluiqVSoKW1K32XO4WLVpI2BJ6GTH+SEqMP5IS44+kwtgjKUkVf9pysCctq/TSLLqkVCpRXFwsdTOIiIiIiIioFnNzc8jl2sdSOSWYiIiIiIiI9BITViIiIiIiItJLTFiJiIiIiIhIL70017CqVCqNC3xlMhlkMplELSIiIiIiInq5CIKgsciSgYEBDAy0j6W+NAkrERERERERNS2cEkxERERERER6iQkrERERERER6SUmrHqgqKgI8+fPh7OzMxQKBbp37449e/ZI3SxqZqKjozFt2jR4enrC3NwcrVu3xjvvvIOLFy9q1I2Pj8eQIUNgYWEBa2trBAYGIiUlRYJWU3O1ZcsWyGQyWFhYaJQx/qgxnD17Fn5+frCxsYGpqSk6dOiAFStWqNWJiorC66+/DjMzM9jb22Pq1KnIysqSqMXUXFy6dAkBAQFwdnaGmZkZPD098fnnn6OkpEStHvs+eh6FhYX45z//iWHDhsHBwQEymQwhISFa6zYk1sLCwuDp6QkTExO4u7tj+fLlqKysbMQz0cSEVQ8EBgZi27ZtWLZsGY4dO4bevXtj3Lhx2LVrl9RNo2Zk06ZNSE1Nxbx58xAZGYn169cjKysLPj4+iI6OFuvduHEDAwYMQEVFBfbt24eIiAgkJSWhX79+yM7OlvAMqLnIzMzEwoUL4ezsrFHG+KPGsGvXLvj6+sLKygrbt29HZGQkFi1apLboR2xsLN588004Ojrihx9+wPr16xEVFYXBgwejvLxcwtZTU/bHH3/gjTfeQGpqKr766iscOXIE7733Hj7//HOMGzdOrMe+j55Xbm4uvvnmG5SXlyMgIKDOeg2JtdDQUMybNw+BgYE4ceIEZs+ejVWrVmHOnDmNfTrqBJLU0aNHBQDCrl271LYPHTpUcHZ2FpRKpUQto+bmwYMHGtsKCwsFR0dHYfDgweK2MWPGCPb29kJBQYG4LTU1VTAyMhL++c9/6qSt1LyNHDlS8Pf3F6ZMmSKYm5urlTH+6EXLyMgQzM3NhQ8++OCJ9Xr37i14eXkJlZWV4rZz584JAISNGzc2djOpmQoODhYACLdu3VLbPnPmTAGA8PDhQ0EQ2PfR81OpVIJKpRIEQRCys7MFAMKyZcs06tU31nJycgSFQiHMnDlTbf/Q0FBBJpMJ165da5wT0YIjrBI7fPgwLCwsMGbMGLXtQUFBuHv3Ln777TeJWkbNTcuWLTW2WVhYwMvLC+np6QAApVKJI0eOYPTo0bC0tBTrubq6YuDAgTh8+LDO2kvN044dOxAbG4uNGzdqlDH+qDFs2bIFxcXFWLRoUZ11MjMz8fvvv2PSpEmQy+Xi9jfeeAMdO3Zk7NEzMzIyAgBYWVmpbbe2toaBgQGMjY3Z99ELUZ/bdTYk1o4fP46ysjIEBQWpHSMoKAiCIOD7779/sSfwBExYJZaYmIhOnTqpfUACgLe3t1hO1FgKCgoQHx+Pzp07AwBu376N0tJSMf5q8/b2xq1bt1BWVqbrZlIzkZWVhfnz52P16tVwcXHRKGf8UWM4c+YMbG1tcePGDXTv3h1yuRwtW7bErFmz8OjRIwD/+6ytK/b4WUzPasqUKbC2tsYHH3yAlJQUFBYW4siRI9i8eTPmzJkDc3Nz9n2kMw2JtZp+r2vXrmr1WrVqBXt7e532i0xYJZabmwtbW1uN7TXbcnNzdd0keonMmTMHxcXFCA4OBvC/eKsrJgVBQF5enk7bSM3H7Nmz4eHhgQ8++EBrOeOPGkNmZiZKSkowZswYvPvuu4iKisLHH3+M7du3w8/PD4IgPDX2+FlMz8rNzQ3nz59HYmIi2rVrB0tLS/j7+2PKlClYv349APZ9pDsNibXc3FyYmJjA3Nxca11d9ovyp1ehxvak4funDe0TPatPP/0UO3fuRFhYGHr27KlWxpikF+3gwYP46aefcOnSpafGEOOPXiSVSoWysjIsW7YMixcvBgAMGDAAxsbGmD9/Pk6dOiXWrSu+GHf0rFJTU+Hv7w9HR0ccOHAADg4O+O2337By5UoUFRXh22+/Feuy7yNdqW+s6UtMMmGVmJ2dndZvKB4+fAhA+zcgRM9r+fLlWLlyJUJDQ/H3v/9d3G5nZwdA+8j+w4cPIZPJYG1trbN2UvNQVFSEOXPm4MMPP4SzszPy8/MBABUVFQCA/Px8GBkZMf6oUdjZ2SE5ORnDhw9X2/7mm29i/vz5iI+PR7du3QDUHXv8LKZntXjxYjx69AiXL18WR6r69+8Pe3t7TJs2DZMnT4aTkxMA9n3U+BryOWtnZ4eysjKUlJTAzMxMo+7jgx2NiVOCJda1a1dcv34dSqVSbXtCQgIAoEuXLlI0i5qx5cuXIyQkBCEhIfjkk0/Uytq1awdTU1Mx/mpLSEhA+/btoVAodNVUaiZycnLw4MEDrFu3DjY2NuLP7t27UVxcDBsbG0yYMIHxR41C27VaAMRb2hgYGIiftXXFHj+L6VldvnwZXl5eGtMqe/fuDQDiVGH2faQLDYm1mmtXH697//595OTk6LRfZMIqsVGjRqGoqAgHDx5U275t2zY4Ozvjtddek6hl1BytWLECISEhWLp0KZYtW6ZRLpfL4e/vj0OHDqGwsFDcnpaWhpiYGAQGBuqyudRMODk5ISYmRuNn+PDhUCgUiImJwcqVKxl/1ChGjx4NADh27Jja9sjISACAj48PWrdujVdffRU7duxAVVWVWCcuLg43b95k7NEzc3Z2xrVr11BUVKS2/fz58wAAFxcX9n2kMw2JtREjRkChUGDr1q1qx9i6dStkMtkT7/X6wunsBjpUp6FDhwo2NjbCN998I0RHRwszZswQAAg7duyQumnUjKxdu1YAIIwYMUI4f/68xk+N69evCxYWFkL//v2FyMhI4dChQ0KXLl0EZ2dnISsrS8IzoOZG231YGX/UGPz9/QUTExNhxYoVwsmTJ4V//etfgkKhEEaOHCnWiYmJEeRyuTBq1Cjh5MmTws6dO4U2bdoIXbp0EcrKyiRsPTVlP/zwgyCTyQQfHx9h7969wqlTp4TQ0FDBwsJC8PLyEsrLywVBYN9HL0ZkZKSwf/9+ISIiQgAgjBkzRti/f7+wf/9+obi4WBCEhsXaypUrBZlMJnzyySfC6dOnhS+++EIwMTERZsyYodPzYsKqBwoLC4W5c+cKTk5OgrGxseDt7S3s3r1b6mZRM+Pr6ysAqPOntgsXLgiDBw8WzMzMBEtLSyEgIEDjpudEz0tbwioIjD968UpKSoRFixYJbdq0EeRyudC2bVthyZIlGonozz//LPj4+AgKhUKwtbUVJk+eLDx48ECiVlNzER0dLQwbNkxwcnISTE1NhY4dOwofffSRkJOTo1aPfR89L1dX1zr/zvvzzz/Feg2JtfXr1wsdO3YUjI2NhbZt2wrLli0TKioqdHRG1WSC8H8XcRARERERERHpEV7DSkRERERERHqJCSsRERERERHpJSasREREREREpJeYsBIREREREZFeYsJKREREREREeokJKxEREREREeklJqxERERERESkl5iwEhERERERkV5iwkpERERERER6iQkrERERERER6SUmrERERERERKSX/j/95l08kCQO6AAAAABJRU5ErkJggg==\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "zs = gen_data(x0=5, dx=-2, count=100, noise_factor=5)\n", "data = g_h_filter(data=zs, x0=5., dx=2., dt=1., g=.005, h=0.001)\n", "book_plots.plot_measurements(zs)\n", "book_plots.plot_filter(data, label='filter')\n", "plt.legend(loc=1);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Tracking a Train" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We are ready for a practical example. Earlier in the chapter we talked about tracking a train. Trains are heavy and slow, thus they cannot change speed quickly. They are on a track, so they cannot change direction except by slowing to a stop and then reversing course. Hence, we can conclude that if we already know the train's approximate position and velocity then we can predict its position in the near future with a great deal of accuracy. A train cannot change its velocity much in a second or two. \n", "\n", "So let's write a filter for a train. Its position is expressed as its position on the track in relation to some fixed point which we say is 0 km. I.e., a position of 1 means that the train is 1 km away from the fixed point. Velocity is expressed as meters per second. We perform measurement of position once per second, and the error is $\\pm$ 500 meters. How should we implement our filter?\n", "\n", "First, let's simulate the situation without a filter. We will assume that the train is currently at kilometer 23, and moving at 15 m/s. We can code this as \n", "\n", "```python\n", "pos = 23*1000\n", "vel = 15\n", "```\n", "\n", "Now we can compute the position of the train at some future time, *assuming* no change in velocity, with\n", "\n", "```python\n", "def compute_new_position(pos, vel, dt=1):\n", " return pos + (vel * dt)\n", "```\n", "\n", "We can simulate the measurement by adding in some random noise to the position. Here our error is 500m, so the code might look like:\n", "\n", "```python\n", "def measure_position(pos):\n", " return pos + random.randn()*500\n", "```\n", " \n", "Let's put that in a cell and plot the results of 100 seconds of simulation. I will use NumPy's `asarray` function to convert the data into an NumPy array. This will allow me to divide all of the elements of the array at once by using the '/' operator." ] }, { "cell_type": "code", "execution_count": 40, "metadata": { "scrolled": false }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from numpy.random import randn\n", "\n", "def compute_new_position(pos, vel, dt=1.):\n", " \"\"\" dt is the time delta in seconds.\"\"\"\n", " return pos + (vel * dt)\n", "\n", "def measure_position(pos):\n", " return pos + randn()*500\n", "\n", "def gen_train_data(pos, vel, count):\n", " zs = []\n", " for t in range(count):\n", " pos = compute_new_position(pos, vel)\n", " zs.append(measure_position(pos))\n", " return np.asarray(zs)\n", " \n", "pos, vel = 23.*1000, 15.\n", "zs = gen_train_data(pos, vel, 100)\n", "\n", "plt.plot(zs / 1000.) # convert to km\n", "book_plots.set_labels('Train Position', 'time(sec)', 'km')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can see from the chart how poor the measurements are. No real train could ever move like that. \n", "\n", "So what should we set $g$ and $h$ to if we want to filter this data? We have not developed the theory for this, but let's try to get a reasonable answer by the seat of our pants. We know that the measurements are very inaccurate, so we don't want to give them much weight at all. To do this we need to choose a very small $g$. We also know that trains can not accelerate or decelerate quickly, so we also want a very small $h$. For example:" ] }, { "cell_type": "code", "execution_count": 41, "metadata": { "scrolled": true }, "outputs": [ { "data": { "image/png": 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rKyu4uLjI3RyiGmHckhIxbkmJGLdElav1ldmjR49i6tSp6NChAxwdHeHl5YUnn3wS586dk6w3efJkqFQqo38dOnSo0X58fHxMbv/iiy/WtslEFi0hIQFxcXFISEiQuylENca4JSVi3JISMW6JKlfrK7Pr1q1DRkYGZs+ejaCgIKSlpWHZsmXo2bMnDh06hIEDB4rr2tvb4+jRo5Lt7e3ta7yv3r17Y+nSpZJlrVq1qm2TiYiIiIjoLomLi8OaNWuwa9cupKenw83NDWPGjMGMGTPg7e0td/OoEav11Dypqalo2bKlZFleXh78/f0REhKCX375BUDpldndu3cjLy+vTg3z8fFBSEgIDhw4UO26nJqHlCw9PV28fahFixZyN4eoRhi3pESMW1IiS4/bn376CaNHj0ZhYaFRmaOjI/bs2YPHHntMhpaRHCx+ap6KiSwAODk5ISgoCDdv3myQRhHdSyzxDxNRdRi3pESMW1IiS47by5cv4+mnn0ZRUREAwMbGBn5+frh27Rq0Wi3y8/MxcuRInD9/Hv7+/jK3lhqjBkmRc3Jy8NdffyE4OFiyvLCwEO7u7lCr1WjdujVmzpyJzMzMGtd74sQJNGnSBNbW1ggKCsKyZcskE0cTEREREZE8li1bJiayo0aNwq1bt3Dp0iUkJiZi+PDhAICCggKsXLlSzmZSI1br24xNGT9+PHbs2IHIyEh069YNALBixQoAQEhICADg+PHjWLFiBdq2bYuzZ8/CycmpyjpnzJiB7t27w8/PD1lZWdi1axe2bt2K8ePH45tvvpGsa+pydkJCAry9vdG0aVNxWXFxMaKjowEALi4uaNu2rWSbmJgYFBQUAAA6d+4sKUtPT8etW7cAAG3btpWMJqfX63Hx4kUApZfRfX19JdvGxcUhNzcXABAcHAyN5n8XxLOzs3Hjxg0AgKenJ9zc3CTb/vPPPxAEAfb29ggMDJSU3bx5U/xyoH379rCzsxPL8vLycP36dQClV9M9PDwk2166dAlarVb8oqC85ORkpKamAgD8/Pwk71VRURGuXLkCAHB1dUWbNm0k2169ehWFhYVQqVTo1KmTpCwtLQ1JSUkAAG9vbzRr1kws0+l0iIqKAgA0bdoU7dq1k2wbGxsrvschISGSCcSzsrLEQRG8vLyMvsE8f/48AMDBwQEBAQGSsoSEBGRlZQEAOnToAFtbW7EsNzcXcXFxAEqf1XZ3d5dsGxUVBZ1OB1tbW6OBzZKSkpCWlgYA8Pf3h6Ojo1hWUFCAmJgYAEDz5s3RunVrybZXrlxBUVER1Gq1+PtTJjU1FcnJyQBKb8V3dnYWy0pKSnD58mUAgLOzM3x8fCTbXr9+Xbzt/7777pPc7pGRkYHExEQAQOvWrdG8eXOxzGAw4MKFCwBK78Lw8/OT1BsfH4+cnBwAQMeOHWFjYyOW5eTkID4+HgDg4eFhdGfHxYsXodfrYWdnh/bt20vKEhMTkZGRAQAICAiAg4ODWJafn49r164BANzc3ODp6SnZNjo6GsXFxdBoNEZfst2+fRspKSkAgHbt2rGPAPsI9hGl2EeUYh9Rin3E/7CPKFWxjxAEAc7OzsjPz4eTkxMOHToER0dHsY/IysqCl5cXCgsL0aRJE/EiFfuIxt1HWPxtxhW999572Lp1K1avXi0msgAwZ84cyXqhoaHo2rUrnn76aaxfv96ovKLPPvtM8vOTTz4JFxcXrFmzBq+99hq6du1a5fY6nQ4V83RBEKDVasVyU9uUlVdkMBjEMoPBYFRe03ortql8vaauOmu1WgiCAGtra6MyvV5fr3orO9by9VY81vLn0FS9ZceqUqnqXK+lvDfVHatWq4VOpzP5y1nVe1OTerVarcmyquot27a6ek2p6Tk0tX35NlVU3bGWlJTAYDBIPlSYqreu59DUOappvZYSh+wjjOu1lPeGfYRxvewj2EdUrJd9ROPtI/Ly8pCfnw8A6Nq1K2xsbKDVasVz6OLigq5du+L06dO4c+cOCgoKJMmQqTZVxD5C2qaa1GspfYS51CuZXbhwIT788EMsXrwYM2fOrHb9kSNHwtHREZGRkXXa3/jx47FmzRpERkZWm8xqNBqjjlClUolvVPlvLMpvY+qNBAArKyuxzFSnU9N6K7apfL2mfhGtra0hCILJetVqdb3qLf9/ZfVWPNby59BUvWXHauqPUE3rtZT3prpjLTvO6s5hdfWeP39e/Ha7c+fOsLa2hl6vN7nPquotf6yVtbe+57C6Y62ounNoY2MDvV5f73Noqr0Gg6HWvzeWGIeW2keUuX79uqQ/Zh8hrbch+ghT9bKPqNs5LOtvy8rZR/BzRFldltxHXLt2DTqdTvycYCl9hKOjI6ytraHVasWr7dbW1uI5LCoqEq/02tnZwcHBweL7iPLHys8R9esjzKXOtxkvXLgQ4eHhCA8Px4IFC2q0jcFgQJMmTfDEE09g+/bttd5nZGQkHnroIXz++ecICwuT1MvRjEmpKiazRErAuKX6EgQBJ06cwFdffYWoqChoNBr07t0bL774otHtgg2FcUtKZMlx+9RTT2Hv3r0AgDfffBMfffQR1Go1dDod5s6di1WrVgEAnn32WWzbtk3OppKZKOI240WLFiE8PBzz58+vcSILALt370ZBQQF69uxZl93i66+/BoA6b09kiRwcHKDT6Ux+I0ZkqRi3VB9FRUWYMGECdu/eLVl+9uxZrFq1Ch9++CHeeeedBt8v45aUyJLj9rXXXhOT2SVLlmDHjh144IEHcObMGXGWE5VKVe3jhUR1Vesrs8uWLcPcuXMxePBgk4lsz549cePGDTz33HMYO3Ys/P39oVKpcPz4caxcuRJ+fn44c+aM+CD7jRs34Ofnh0mTJmHDhg0AgG3btmHPnj14/PHH4e3tjezsbOzatQvfffcdJk+ejE2bNkn2ySuzREREyjF58mRs2bJF/NnKysroGbEvvvgCL7zwgrmbRkS19O9//xuzZ882WaZSqbB27Vq8+OKLZm4VycXceVmtk9n+/fvj+PHjlZYLgoCsrCw8//zz+Pvvv5GSkgK9Xg9vb2+MHDkS77zzjmTktPj4eLRr1w6TJk3C5s2bAZTeTjx//nxERUUhIyMD1tbWCA4OxpQpUxAWFmZ0MpjMEhERKUN0dDQ6duwIoPSK0+rVqzFu3Djk5+dj6dKl+PjjjwEA7u7uSEhIqPT5MiKyHEeOHMHSpUsREREBoDSJHTp0KN544w3069dP5taROVl8MmuJmMwSEREpw9tvv41PPvkEQOltiW+88YakfMSIEfjhhx8AAPv378ewYcPM3kYiqpucnBxkZWXB1dVVMmUN3TvMnZcx2yMiIiKzKZt3Eyiddq+i8svKr0tElq9sflomsmQulvckOdE9JiEhQRzYoeLk2kSWinFLdVU2ZgZQ+qhRYGCgpDw+Pt7kug2BcUtKxLglqhyvzBLJLCsrC5mZmcjKypK7KUQ1xriluho0aJD4euHChSgoKBB/vnHjBtauXQugdFCoRx55pEH3zbglJWLcElWOV2aJiIjIbEaMGIHWrVsjMTERp0+fRkBAAEaPHo3c3Fzs3LkT+fn54nre3t4yt5aIiCwZB4AikllxcTEEQYBKpYKtra3czSGqEcYt1UdkZCRCQ0ORl5dnsjwgIAAnT55Eq1atGnS/jFtSIsYtKQkHgCK6x9ja2sLOzo5/oEhRGLdUHz179sTvv/+OYcOGQaVSicsdHBwQFhaG06dPN3giCzBuSZkYt0SV45VZIiIikk1SUhIuX74Ma2trdOnShaOgEhEpmLnzMj4zS0RERLLx9PSEp6en3M0gIiIFYjJLJLPc3FzxWRhekSClYNySEjFuSYkYt0SVYzJLJLO4uDhotVpYW1ujc+fOcjeHqEYYt6REjFtSIsYtUeX4UCkREREREREpDq/MEsmsVatW0Ov1UKvVcjeFqMYYt6REjFtSIsYtUeU4mjERERERERHVG+eZJSIiIiIiIqoGk1kiIiIiIiJSHCazREREREREpDgcAIpIZlFRUeKQ+8HBwXI3h6hGGLekRIxbUiLGLVHlmMwSyUyn00Gn00GlUsndFKIaY9ySEjFuSYkYt0SVYzJLJDNbW1tYWVnB2tpa7qYQ1RjjlpSIcUtKxLglqhyn5iEiIiIiIqJ649Q8RERERERERNVgMktERERERESKw2SWiIiIiIiIFIcDQBHJLCkpCXq9Hmq1Gp6ennI3h6hGGLekRIxbUiLGLVHlmMwSySwtLU2cP45/pEgpGLekRIxbUiLGLVHleJsxERERERERKQ6vzBLJzN/fH4IgcDJ0UhTGLSkR45aUiHFLVDkms0Qyc3R0lLsJRLXGuCUlYtySEjFuiSrH24yJiIiIiIhIcZjMEhERERERkeLUKpk9evQopk6dig4dOsDR0RFeXl548sknce7cOcl6kydPhkqlMvrXoUOHGu/ru+++Q5cuXWBnZwdPT0+8+uqryMvLq01ziRShoKAA+fn5KCgokLspRDXGuCUlYtySEjFuiSpXq2dm161bh4yMDMyePRtBQUFIS0vDsmXL0LNnTxw6dAgDBw4U17W3t8fRo0cl29vb29doP1u3bsX48eMxbdo0rFixAlevXsW8efNw6dIlHD58uDZNJrJ4MTEx4pD7nTt3lrs5RDXCuCUlYtySEjFuiSpXq2T2s88+Q8uWLSXLBg8eDH9/f3z00UeSZNbKygo9e/asdYP0ej3eeOMNPPbYY1i/fj0AYMCAAWjSpAnGjRuHgwcPYsiQIbWul4iIiIgskyAIuHLlCnJycuDp6Yk2bdrI3STZFRYWYvfu3YiIiIAgCAgJCUH79u1hZ2cnd9OILEatktmKiSwAODk5ISgoCDdv3myQBkVGRiI5ORnLly+XLB89ejTCwsKwd+9eJrPUqDRv3hx6vR5qtVruphDVGOOWlIhxa3kEQcCXX36JFStW4MqVK+Lyvn37Yv78+QgNDZWxdfLZtm0bZs2ahczMTMnyFStWYO3atRg9erRMLSOl0ul0OHjwIKKioqDRaNC7d2/07NlT8VM+1XtqnpycHPz111+Sq7JA6bdJ7u7uSEtLg4eHB0aMGIEPPvgArq6uVdZ38eJFAECnTp0ky62trdGhQwexnKixaN26tdxNIKo1xi0pEePWsgiCgOnTp2PDhg1GZSdOnMCgQYPwxRdfYPr06TK0Tj7bt2/HuHHjTJalp6djzJgxUKvVeOqpp8zcMlKqnTt3Ys6cOUhKSpIs79q1KzZs2ICuXbvK1LL6q3cyO2PGDOTn5+Pdd98Vl3Xu3BmdO3dGSEgIAOD48eNYsWIFjhw5grNnz8LJyanS+jIyMgDAZNLr6uqK+Pj4GrUrKioK3t7eaNq0qbisuLgY0dHRAAAXFxe0bdtWsk1MTIz4cH3FZxLS09Nx69YtAEDbtm3h4uIilun1ejHJbtKkCXx9fSXbxsXFITc3FwAQHBwMjeZ/pz07Oxs3btwAAHh6esLNzU2y7T///ANBEGBvb4/AwEBJ2c2bN8Vv7CredpKXl4fr168DKL2i7uHhIdn20qVL4vMXQUFBkrLk5GSkpqYCAPz8/CTvV1FRkfjNqaurq9FtQFevXkVhYSFUKpXRFxJpaWniL5G3tzeaNWsmlul0OkRFRQEAmjZtinbt2km2jY2NxZ07dwAAISEhkm/Vs7KykJCQAADw8vJCixYtJNueP38eAODg4ICAgABJWUJCArKysgAAHTp0gK2trViWm5uLuLg4AECrVq3g7u4u2TYqKgo6nQ62trZGg5slJSUhLS0NQOlk5+XniCsoKEBMTAyA0qsEFT9cXblyBUVFRVCr1eLvUJnU1FQkJycDAHx8fODs7CyWlZSU4PLlywAAZ2dn+Pj4SLa9fv26OIjafffdByur/43/lpGRgcTERAClH/aaN28ulhkMBly4cAFA6Z0Yfn5+knrj4+ORk5MDAOjYsSNsbGzEspycHPF31sPDw+jujosXL0Kv18POzg7t27eXlCUmJor9QUBAABwcHMSy/Px8XLt2DQDg5uYGT09PybbR0dEoLi6GRqNBcHCwpOz27dtISUkBALRr1459BNhHsI8oxT6iFPuIUuboI44cOSJJZPv06YM2bdoC1KClAAAgAElEQVTg9OnTiI+PhyAIePHFF9G7d29xrJbG3kcUFRXhlVdeEdcZOHAgZs+eDRsbG6xduxb79++HIAgICwtD27Zt4e7uzj6CfUSVfcTnn3+Ol156Cab8/fffePjhh7Fx40Z07dq1QfsIc6lXMvvee+9h69atWL16Nbp16yYunzNnjmS90NBQdO3aFU8//TTWr19vVG5KZZe8a3opXKfTQRAEyTJBEKDVasVyU9uUlVdkMBjEMoPBYFRe03ortql8vXq93mS9giDA2traqEyv19er3sqOtXy9FY+1/Dk0VW/ZsZp6n2par6W8N9Udq1arhU6nk3TmZap6b2pSr1arNVlWVb1l21ZXryk1PYemti/fpoqqO9aSkhIYDAaTt/w1xDk0dY5qWq+lxCH7CON6LeW9YR9hXC/7CPYRFeut7HdZEAR89dVX4vJvv/0W48aNw6VLl5CXl4elS5di165dMBgMWLNmDdauXXtP9BF79uxBeno6AKBfv3745JNP0LFjRzg5OWHQoEEYOnQoIiIikJ6ejqNHj2LMmDEm6y3fR+Tn5+PEiRPIycmBnZ0dPDw8oFar2UfcA31ETk4O5s6dK/48YMAATJ8+Hbm5uVizZg0uXryIgoICLF68GN99912tjrW6PsJc6pzMLly4EB9++CEWL16MmTNnVrv+yJEj4ejoiMjIyCrXK/smJyMjA61atZKUZWZmVnubchmNRmP0YUmlUomdeflvLMpvY6qzB0oHtCorM/XBpKb1VmxT+XpN/SJaW1tDEAST9arV6nrVW/7/yuqteKzlz6GpesuO1dQH1ZrWaynvTXXHWnac1Z3DutRb2TNdVdVbtm1V9db3HFZ3rBVVd6w2NjbQ6/V35RwaDIZa/95YYhyyjzCu11LeG/YRxvWyj2AfUbHeyn6XU1JSxKuA3bt3F2+r1Wg0sLW1xezZs/Hjjz+iuLgY//d//1fjesvqqEgpfcTff/8tvn766adhY2Mj1qtSqfDCCy8gIiICQOlVvqr6CL1ej3nz5uGLL74Qr3wCpVc4p0+fbvLiEvuI/7W3MfQR3377LfLz8wGUDtq7ZcsW8er2xIkT0bVrV1y5cgUXLlzA1atXje6yqE8fYTZCHYSHhwsAhPDw8Bpvo9frBQcHB2Hs2LFVrnfq1CkBgPDdd99Jlmu1WsHJyUmYPn26ybqzs7Ml//R6fY3bRiSn6Oho4cKFC0J0dLTcTSGqMcYtKRHj1nJcvnxZACAAEJ577jmT63h7ewsABFdXVzO3Tj5vvPGGeF5++OEHQRCkcbtjxw6xfP78+ZXWU1JSIgwaNEhc19S/qranxmH8+PHi+x0ZGWlUvnz5crF83bp11daXkpIifPTRR0Lfvn2Fbt26CaNGjRL2798v6HQ6cR1z52XGaX81Fi1ahPDwcMyfPx8LFiyo8Xa7d+9GQUFBtdP1PPjgg/Dw8MDmzZuNts/Ly+PD7tToFBUVif+IlIJxS0rEuLUcZbe6AqXPzhYXF0vKL126JD4LfC9N09OjRw/x9WeffQaDwSDGbH5+PtauXWty3YrWrFmDQ4cOASi9ojdp0iR8+umnGDRokLjOhx9+iDNnztyFoyBLUf52ZVNTOpV/xtvUrc3l7d27F+3atcM777yDEydO4Ny5c/j+++8xfPhw9O3bV7w93txqlcwuW7YM77//PgYPHozHH38ckZGRkn8AcOPGDfTu3RurV6/GwYMHERERgbfffhuTJk1CcHAwpk2bJtZ348YNaDQaPP/88+IytVqNJUuWICIiAmFhYfj111+xfv16vPTSSwgNDcXgwYMb6NCJLINarYaVlRWniiBFYdySEjFuLYezszNGjBgBAEhJScG4cePEAYT++usvPPvss+K6kyZNkqWNcnjiiSfEgXQOHz6MRx99FIcPH8ahQ4cwffp0HD9+HEDpAEFDhw41WUfZc8ZlDh8+jM2bN2Pu3LmIiIjA4sWLxbLy61HjU36QqYqjhuv1esnFw4oDUpV38uRJPPPMM+LgVRWdPn0aTzzxhMnnee+62lzG7devX5W3KwiCIGRmZgojR44UfHx8BHt7e8HGxkYICAgQ3nzzTSE7O1tSX1xcnABAmDRpktG+tm3bJnTq1EmwsbER3N3dhVdeeUW4c+eOyXbxNmMiIiIiZTl37pxgY2Mj+Szp6uoq+blNmzZGnx8bux9//FGwsrKq9PO2Wq0WIiIiKt2+7PM1AKFv375G5QUFBYKTk5MAQPDy8rqbh0Iyu337tmBtbS3GQ1hYmHDq1Cnh4MGDQmhoqLg8KChIMBgMldYzYMAAcd3Ro0cL165dE7RarbB3717B3d1dLNu3b5/Z8zKVIJgYpkthDAaDONx6mSZNmph8eJqIiEipBEHAuXPnkJCQACcnJ/Tq1avK6e6ILN3+/fsxduxYk1d8vL29ERERYTS11b3gp59+wssvvyxOGVTGx8cHX3zxBR577LFKt71y5Yp4zp555hns2LHDaJ02bdogMTERzZs3l+32UDKPf/3rX3jrrbcqLddoNDh06BAGDhxosjw+Pl6c6srf3x+XL1+WDEK1f/9+PPHEEwBK7yzYu3evWfOyes8zS0RERHff999/j/fffx+XLl0SlzVt2hTTp0/HokWLYG9vL2PriOpm+PDhuHr1KtavX499+/YhJycHnp6emDBhAsaPH3/Pflnz+OOPIzY2FhEREfjzzz+hUqnQo0cPhIaGVnubfOvWrWFnZ4eioiIcOnQIOTk5kvlkT58+Ld7SXXHeXGp83nzzTVhZWeH99983Gi+gVatW2LRpU6WJLABxrmSgNFmtOJry448/DhsbG5SUlCA2NrZhG18DvDJLRERk4dasWYNZs2ZVWt6nTx8cOnSICS0RAQCmTp2KTZs2AQB69eqFJUuWICQkBL/88gteffVVMZn96quvJGPXkDL9+eef+Oyzz/Drr7+iuLgYgYGBeP755zFmzBjY2NgAKJ3idOvWrYiKioJGo0Hv3r3x1FNPSQaBMuXMmTPiAL5PP/00du3aJSlPSkqCl5cXAOCBBx5AZGSkWfMyJrNEMktNTRXnjCyb+4vI0jFuzefq1avo2LGjONJkr169MHToUFy7dg3btm1DSUkJAGDBggUIDw+XsaWWj3FLSlSXuL127Rq6d+8umV+2ok6dOuHMmTMmR7kl5QgPD8fChQtNlnXv3h0HDx5EixYt6lx/cXExWrdujfT0dGg0Gpw6dUocSVsQBEybNg0bN24EALz77rv44IMPzJqXMdsjkllycjJu3bqF5ORkuZtCVGOMW/NZt26dmMjOnj0bv/32G959911s2rQJv/32m3jL4eeffy4mtmQa45aUqC5x6+/vj8OHD4sjI1fUo0cPHDp0iImswm3YsEGSyNrb28PNzU38+c8//8RTTz2F+ly7tLW1RVhYGABAp9Ohd+/eePbZZ/Huu++iS5cuYiJrY2MjrmdOTGaJiIgs2JEjRwAAVlZWeO+996BSqcSyBx54AMOGDQNQOr1J+edpieje1qNHD1y/fh2bNm3CiBEjMGDAAIwbNw4RERH4/fff4e7uLncTqR70ej0++OAD8edFixYhPT0dKSkpOHr0qPj+njx5EseOHavXvt5991307dsXQGlC+9133+Gjjz7CP//8AwBQqVRYv369LHNCcwAoIpn5+PhAEATJB1QiS8e4NZ/CwkIApd+4u7i4GJV7enoarUumMW5JieoTt/b29pg8eTImT57c8A27CwoKCrB7927Jc52DBg3i3NAmnDx5UhztevDgwZg/f75YNmDAACxfvhzPPfccAOCbb76pcpCn6tjb2yMiIgILFy7El19+iaysLLGsR48eWLhwIQYPHlzn+uuDySyRzMqPMEikFIxb8wkICMC1a9eQn5+PQ4cOYciQIWJZcXExfvzxRwCl34yXTZ9ApjFuSYnulbj98ssv8eabbxo95+vr64vNmzejT58+MrXMMpUN4gXA5FRNgwYNEl/funWr3vuzt7fHJ598ggULFuDs2bPIz8+Hj48POnbsWO+664O3GRMREVmwqVOniq+nTJmCnTt3oqCgAOfPn8fIkSPFDynDhg3jbYNEpEifffYZwsLCTA5YFRsbi9DQUPz+++8ytMxylf+Sw9QjJlFRUeLrpk2bNth+7e3t0bdvXwwZMkT2RBbgaMZEREQWTafToW/fvlV+kLOzs8OpU6dw//33m7FlRET1l5GRgdatW4tzoI4dOxaTJk1Cbm4uVqxYgcjISABAly5d8Ndff/Exgf/Kzc2Fl5cX8vLyYGtri2PHjuGhhx4Sy4YMGYLTp08DADZv3oxJkyaZpV3mzsuYzBLJrPzoo2VzgRFZOsateWVkZGDkyJE4efKkUVmzZs2wc+dOhIaGytAyZWHckhI19rhduXIl5syZAwCYNm0a1q9fL5ZptVp0795dHGjozJkz4rQwBMyZMwcrV64EUPqoyaOPPoqWLVvi//7v/8TnWj08PBAbG2u2kavNnZfxmVkimV2+fBlarRbW1tbo3Lmz3M0hqhHGrXk1b94cv/76K44cOYLNmzcjISEBTk5OGDp0KCZOnHjPPFNXX4xbUqLGHrd//vmn+PrFF1+UlFlbW2PatGl45ZVXAADnzp1jMlvORx99hP/85z/49ddfIQgCfv75Z0m5s7Mz9u3b16inYGIyS0REpABWVlYIDQ3lFVgiuqc0gptI7xp7e3scPHgQK1aswLp163Dz5k0ApVfwx4wZg/nz5yMwMFDmVt5dTGaJZObs7Ay9Xs9h50lRGLekRIxbUqLGHrfdu3fH1q1bAQDr1q3DV199JZaVlJRIfu7WrVuD7NNgMODo0aM4d+4cVCoVunfvjv79+yvyEUU7Ozu8/fbbePPNNxEbG4vi4mJ4e3ujSZMmcjfNLPjMLBERERERyaLiAFDPPPMMJk2ahJycHKxatQpnzpwBAHTt2lVMPuvj559/xssvv4xr165Jlrdv3x6ff/45+vfvX6/673UcAKoOmMwSERERESnT2rVrMWPGjErL7ezscPToUXG03ro6dOgQhg0bBp1OZ7Lc2toaERERGDhwYL32cy8zd17GbI+IiIiIiGTz8ssvY/369XBxcTEq8/f3x88//1zvRFar1eL5558XE9nevXtj8+bN2LhxIx588EFxnWnTpkGv19drX2Q+vDJLREREJpWUlECj0fDvKRGZRUFBAfbs2YOLFy/C2toavXv3xmOPPdYgfdDevXvx1FNPAQAGDhyIw4cPi88h63Q69O/fH6dOnQIA/PTTTxg6dGi993kv4tQ8RPeY69evi0Pu+/n5yd0cohph3DZeGRkZWLNmDTZu3IiEhASo1WoMGDAAM2fOxBNPPFHv59XkxLglJbqX4tbBwQHjx4+/K3VHRkaKr2fNmiUZUEuj0WDmzJliMhsZGclkViGYzBLJLC8vT/wjRaQUjNvG6erVq3j00UfF6R0AQK/X45dffsEvv/yCsLAwrFu3TrEJLeOWlIhx2zAMBoP42tS8q+WXlV+XLBvvGyIiIiKUlJRg2LBhYiJrZWWFHj16oG3btuI6X3zxBVauXClXE4mI6qxTp07i6w0bNkjKBEGQLOvcubPZ2kX1w2dmiWRW/ts/xiwpBeO28dmxYwfGjh0LAAgKCsL+/fvh6+sLg8GATZs2Ydq0aQAAT09PxMfHK/IqEeOWlIhx2zAKCwvh5eWFrKwsAMCzzz6LF198EQaDAWvXrsWuXbsAAC1btkRCQgJsbW3lbK5icWqeOmAyS0REVD+jRo3Cnj17AAC//PILHnnkEUn5E088gf379wMAfv31V/Tr18/sbSQiqo+vv/4akyZNqnKd7du3i1/sUe1xah4iIiIyu7S0NPF17969jcrLLyu/LhGRUkycOBEbN25E06ZNjcqcnZ3x7bffWmQiKwgCLly4gGPHjiEqKgqN4Fpkg+EAUERERIQWLVqIryMjI9G/f39JefmRQJs3b26uZhERNagpU6Zg9OjR2L59O86dOweVSoUHHngAY8aMgaOjo9zNkxAEAZs3b8aSJUsQHR0tLg8ODsa8efMwYcIEGVtnGXibMZHMMjIyYDAYYGVlxQ+IpBiM28Zn27ZtGDduHIDSgVIOHDiANm3aQBAEbNu2TZwuw93dHQkJCYp8ZpZxS0rEuL03CYKAuXPnYvny5ZWu884772Dx4sVmbFX1+MxsHTCZJSU7f/68OOQ+R88jpWDcNj7FxcUICgpCbGwsgNJ5Fx966CEkJyfj2rVr4npLlizBG2+8IVcz64VxS0rEuL03HThwAMOHDxd/7tOnDx588EGcPn0ap0+fFpcfPnwYoaGhcjTRJD4zS0RERGZna2uLAwcOwMPDAwCg0+lw8uRJSSI7efJkvP7663I1kYjonrFq1Srx9erVq3HixAl8+umnOHXqFD799FOT692LeGWWSGa8fYiUiHHbeKWkpGDVqlXYuHEjUlJSAAAPP/wwZs2ahdGjR0OlUsncwrpj3JISMW7vPSUlJbC3t4fBYIC3tzdiY2MleY1Op0Pbtm2RnJwMa2trFBUVWUzew9uM64DJLBERUcMSBAF5eXmwsbHhfItERGaUm5sLZ2dnAED//v1x7Ngxo3UeeughcWC+oqIii+mnzZ2XcTRjIiIiMqJSqdCkSRO5m9EoZWVlIT4+Hvb29ggICIBarZa7SVTO5cuXcfz4cRQXFyMwMBChoaHQaPiRmczHyckJrq6uyMzMRGRkJNLS0uDm5iaW37p1C+fOnQNQOiifuRPZYp0eGisrqK3kv1OnViny0aNHMXXqVHTo0AGOjo7w8vLCk08+KZ5MUwRBQN++faFSqTBz5swa7ad///5QqVRG/wYPHlyb5hIRERFZjKioKIwZMwYtW7bE/fffj44dO8LHxwcff/wxiouL5W7ePS82NhaPPvoogoKC8NJLL+HVV1/F0KFD0a5dO2zfvl3u5tE9xMrKChMnTgRQetV15MiRuHjxIoDSAcFGjRoFrVYLoHQsg7spM78Ep66lY/2JWMzZ8R8MXnkCwe8fwsVbOXd1vzVVq6+Z1q1bh4yMDMyePRtBQUFIS0vDsmXL0LNnTxw6dAgDBw402uazzz6TDB5RU76+vti6datkWbNmzWpdD5GlMxgM4mveGk9KwbglJZIzbk+cOIGhQ4ciPz9fsjwxMRHvvPMOjhw5ggMHDsDOzs6s7aJS8fHx6N27N27fvm1UlpiYiOeeew65ubkICwsze9vY396bXnvtNXz99dfIzMzEqVOncN9998He3h6FhYXiOm5ubnjllVcaZH+30rOxfvs+HDj+B7L0NtC08IamRTvkC6anYbty+w46t5E/N6vVM7Opqalo2bKlZFleXh78/f0REhKCX375RVIWHx+P++67D19//TWeeuopzJgxA2vWrKl2P/3790d6err4DUR1+MwsKRmH3CclYtySEskVt3fu3IGvry/S09MBlH4Affzxx5GcnIzDhw+j7KPYm2++iX/9619maxf9z4gRI/DDDz8AANq2bYuXX34ZLVu2xI4dO3Do0CEApSN+37hxA61atTJr29jf3rvOnj2LYcOGITU11ajMw8MDP/30E7p27Vrj+nR6A66l5eF6aj7i0vMQm56P+PR8XEvJRW6xodLtWtqr0M2vFYI8miLIs/Sfe1M7kwMCWvQzsxUTWaD0nu6goCDcvHnTqOyFF15AaGgoRo4cWfcWEhERESnY1q1bxUR24MCB+PHHH+Ho6AgAOHXqFAYMGACtVosvvvgC77//vlhG5nHz5k3s378fQOnzh3/99Zc4avDkyZPxwgsv4KuvvkJxcTE2btyIt99+W87m0j3kgQcewNWrV/H1119j165dyMjIgJubG5555hlMmDChynENinV6xKTk4cKtHFy8lYOLSbmITs5Fsa7ypFV3JwO6zFtAXhoKkmJQkhKLkrQ4pGlU2Hz2LIKCAu7GYdZLvZ9mz8nJwV9//WV0i/FXX32FP/74A5cuXapTvdevX4erqytyc3Ph7e2NsWPHYv78+bC3t69vk4ksipOTk/iNK5FSMG5JieSK2wMHDoivlyxZIklWe/fujTFjxuDbb79FTk4OTp06hccee8ys7bvXRUZGirfyTpkyRTL9jUqlwty5c/HVV18BKP3ywdzY397bnJ2dMWvWLMyaNavSde4UaRF9+w4uJeXiUlIuLibl4GrKHWj1xjfgOtlqENDKCe1aOMK3hSP+OX0Em1cvgS4rGfd1DMSGDRvQvXt3XL9+HbNmzcLBg5dQUAL861//wpYtW+7modZJvZPZGTNmID8/H++++6647NatW5g7dy6WLFkCT0/PWtf58MMPY8yYMejQoQMKCwtx8OBBLFmyBL/99huOHTtWo8vUUVFR8Pb2RtOmTcVlxcXFiI6OBgC4uLigbdu2km1iYmJQUFAAAEa3caSnp+PWrVsASm8/cXFxEcv0er14S3STJk3g6+sr2TYuLg65ubkAgODgYMmIeNnZ2bhx4wYAwNPTUzJSGQD8888/EAQB9vb2CAwMlJTdvHkTmZmZAID27dtLnrPJy8vD9evXAZReUffw8JBse+nSJbFjDAoKkpQlJyeLtzP4+fnByclJLCsqKsKVK1cAAK6urmjTpo1k26tXr6KwsBAqlQqdOnWSlKWlpSEpKQkA4O3tLXkGWqfTISoqCgDQtGlTtGvXTrJtbGyseMtCSEiIZOTHrKwsJCQkAAC8vLzQokULybbnz58HADg4OCAgQPqNUkJCArKysgAAHTp0kIwGl5ubi7i4OABAq1at4O7uLtk2KioKOp0Otra26NChg6QsKSkJaWlpAAB/f3/JB5eCggLExMQAAJo3bw4/Pz/JtleuXEFRURHUajVCQkIkZampqUhOTgYA+Pj4iMO2A6Vzkl2+fBlAacfn4+Mj2fb69evIy8sDANx3332S36OMjAwkJiYCAFq3bi35Q24wGHDhwgUApX9QK7Y3Pj4eOTmlgwB07NgRNjY2YllOTg7i4+MBlN4OU/HujosXL0Kv18POzg7t27eXlCUmJiIjIwMAEBAQAAcHB7EsPz9ffBbfzc3NqJ+Jjo5GcXExNBoNgoODJWW3b98W585s164d+wjUrY8oi6XWrVtLythH/E9D9REVz3FN+ojMzEw0a9YM/v7+4jf37CMgti06Ohrnz583Wx9R/pY7rVaLrKwsSR9RPj5iYmKMklkl9hFK+hxRFp8ATN42WXZ+y/ZTnlL7CICfI5T4OUIQBOTDDnnWzXApKReXk3Nx+XYubmYWwpRmDtZo39IBXvZ6+LrY4KEOrdHVvzWsyo1C7Dd9MLSppXG6a9cusZ/w8/PD8uXLcerUKeTm5mLHjh34/PPPxQuL1fUR5lKvZPa9997D1q1bsXr1anTr1k1c/uKLL6Jz586YPn16ner98MMPJT8PHToUPj4+mDt3Ln744Yca3bas0+lQ8XFgQRDEkb8qdkZly8rKKzIYDGJZ+Qfxy9S03optKl+vXq83Wa8gCCa/jdPr9fWqt7JjLV9vxWMtfw5N1Vt2rKb+GNS0Xkt5b6o7Vq1WC51OZ/LLlarem5rUq9VqTZZVVW/ZttXVa0pNz6Gp7cu3qaLqjrWkpAQGg8HktBQNcQ5NnaOa1mspccg+wrheS3lvLK2PEAQB+/btw5o1a8QPjmq1Gk888QTeeustdOnShX1Eufaas48on2ycOHHC6EuTsmcyAdOPdLGPqF29te0jyidB33//PcLDwyXnq+xZWgBGyaGS+ojq6i3btrp6TWEfYVxvff5WaXV6JGQUICb1Dq6l5iEm5Q7+iU9FYq4OBTrTwx01t7eCTzMNegR6oXMbV4R4NYVXM3tkZWUhNjYWAODV1FqSyAKQfLlR8QsvOzs7dOvWDceOHUNxcTFSUlLELzmq6yPMpc7J7MKFC/Hhhx9i8eLFkil3du/ejYiICPz222+Sb7qA0oDLzs6Go6NjrW+VGD9+PObOnYvIyMgaJbMajcaoI1SpVOJ+Tc0XptFoKm2XlZWVWGaq06lpvRXbVL5eU7+I1tbWEATBZL1qtbpe9Zb/v7J6Kx5r+XNoqt6yYzX1R6im9VrKe1PdsZYdZ3XnsC716vV6k2VV1Vu2bVX11vccVnesFVV3rDY2NtDr9XflHBoMhlr/3lhiHLKPMK7XUt4bS+ojBEHAm2++iaVLl0rW1ev12Lt3L/bv348tW7aIVxjYR5i3j5gwYQK2bdsGAFi6dCk6dOiA4cOHIy8vD5988glOnjwJoPTD5P33319lvewjGr6PCAkJQadOnfDPP//gypUrGDp0KN566y20atUK3333Hb788ktx3YoXapTSR9Sk3rJtq6qXfUTD9RElOgNu5xQhMbsAt7IKEZOUgehbubiZo0NSXlqlz7ZqrIDAVk3R8b+DMXX0aAKHkiyoSkqv+AYHB0r2Xd3vctkIyampqSgoKJBcwbayshKvFgOQ3GVRXb3mUqvRjMssXLgQ4eHhCA8Px4IFCyRl4eHhWLhwYZXb7927FyNGjKjVPlNSUuDu7o633noLH3/8saSMoxkTEdG9bOfOnRgzZoz4c3BwMEJCQnD8+HFxqhEbGxtcunTJ6BY/uvsMBgN69+6NyMhIcVnz5s1x584dlJSUiMu2bt2K5557To4m3vNOnz6NAQMGSN6PimbNmoV///vfZmyVZdDr9fjpp5+wceNGXL16Ffb29njkkUcQFhbG/qQKgiAg9U4xYm7n4Gz0DSTllKBAZYvbd7S4lVWIlDtFqCoLs1FbwdfNEX4tnRDQ0gn+//3n28IJNpqGy3EmT54sPgs7b948fPzxx2KS/u2332LChAkAgG7duuHPP/+stj5z52W1TmYXLVqE999/H/Pnz8eiRYuMyuPj48V728sbMGAARowYgdmzZyMkJMTomaXqLFmyBPPmzcO+ffvw5JNPSsqYzJKSxcfHi9+gVnw+hSOyOPUAACAASURBVMhSMW4ty4MPPog//vgDALBq1SrMmjULKpUKJSUleP755/Htt98CAObMmYPly5fL2VRZyRm3qampGDp0KM6dO2ey/JNPPsG8efPM2qaaSEhIwJEjR5Cfnw8fHx889thjkmcaG5Off/4ZEyZMEJ+HLGNlZYVXX30VS5YskeUKlJxxm5WVhREjRuDEiRNGZWq1GqtXr8ZLL71k1jaZQ1kCv2XLFiQkJMDJyQlDhgzB1KlTJTmMwSAgLa8YNzMLEJeej/iMfMSnF/x3yps8FGorHzkYAGw0VvBqZi/+82nhCP//Jq9tXB2gtjK+et7Qzp07h+7du4s/d+nSBQMGDMB//vMfHDt2TFz+9ddfi4ltVSw6mV22bBnmzp2LwYMHG12RBYCePXtWviOVyuQ8sxqNBv369cORI0cAACdPnsTixYsxcuRI+Pr6oqioCAcPHsSXX36Jfv364eeffzY6GUxmSck4fxwpEePWciQnJ4uDl9x33304f/685Na3jIwMeHh4QKvVwtfXVxyw414kd9yWlJRg586d2LBhA65duwY7OzsMHDgQM2bMMBrsSG6pqamYMWMG9uzZI3kGslWrVggPD0dYWJjJ21SVrqioCLt37xafEWzfvj0mT55sNFCVOckVt4Ig4JFHHpEkNLa2tiguLpast2fPnkY1DWdqaiqGDx9e+gWhygrqJs2hcXaHxtkNDm5t8Mjw0bBq0hy3sgqRlF2EEn3lCatg0EOXkwJdVhK0Wbehz02BLjcNzho9vv96PR7sHGT0DKscli9fjtdff73S8ueffx7r16+v0e+8Rc8zWzYHV0REBCIiIozK63DHMvR6veShYQ8PD6jVaixatAjp6elQqVQICAjABx98gNdff50JKhERUTnZ2dni606dOhl92Cgb7TQuLk6yLpmfjY0Nxo8fj/Hjx8vdlCplZGSgb9++4qjD5aWkpOCll15Ceno65s+fL0Pr7i47OztFvEfmcPToUTGRdXNzw/r16zFs2DBkZmbigw8+EC9QvffeexgxYoRiv9wQBAEZ+SWIS89HzO1cLFr5BTI8H4XH1EmwdvGASiO9E+H3FAApGeLPVirAw9kePi0c4NPcEe1aOGLnhjU4tn8ndNkp0FgBQ4YMgUNzB/wU+TMK8vJQAOCFiWP/O5q+/Ofttddeg6+vLz766COcPXtWXO7v7485c+bgpZdestj3t07PzFoaXpklJSv/fE5jvXWLGh/GreXIyspC8+bNIQgC2rRpg9jYWMngH9evX4e/vz+A0mdpy6aJuhcxbmtmxowZWLt2LYDSL0Neeukl+Pr64scff8S+ffsAlN5xFxUVhY4dO8rZ1HuCXHE7ceJEfPPNNwCA7du3Y+zYsWKZIAjo1auX+Bz42bNnJbeqWqrcIi2u3L6D6ORcXEq+g+jbubiemofcIuORh8tYq1Vwc9QgNzket69HQZeTiiBvdyz/cD68mtnD3dkO1ur/5RwJCQlo164dDAYDXFxc8Ntvv4nTV6WmpqJ///7iFEiHDx9GaGjoXT3m2oqJicHt27fRrFkzBAcH1zqfsugrs0TU8PiBipSIcWs5XFxcMHToUPz000+4efMmwsLCsGzZMjRr1gxxcXGSZ5zGjRsnY0vlx7it3p07d8TBYBwcHHD27FlxztYpU6Zg/vz5WLx4MQRBwOeff45Vq1bJ2dx7glxxW35+3eHDh0vKVCoVhg8fLiaz8fHxZklmDQYBRTo9irQGFGn10OkFaA0G6A0CtHoDdHoBOoMAnd4AnUFAdoEW0bdzcfm/iWtilun5WFUqwNPZHlkJV3A75h/osm5h4dwZGBXaB57N7KBRW6GkpAQBAQFISEhA5O8qtF36BjxdmxvVFRERId6aP2vWLMk8zC1btkR4eLg4YN/+/fstLpkNCAgwmj7s/9k77/Aoqq8Bv5tseickgYSQ0GvoRUQBQcAg0juolAgICogoCoIgYAERETBSpBNAUAgdpf6k9xYIkADpCellU3d3vj9i5suyCYSQzn2fZ59M5ty5c2b27p175t5zTllGGLMCgUAgEJRzvvzySw4ePIhWq2Xt2rVs2bIFV1dXAgMDZRcgBweHQud/F7w83LhxA5VKBcDAgQNlQzaHTz/9lAULFgBw6tSpEtdPUHJYWFjI24GBgXp+3bn973OnbCkMao2WBzEq/MITuRWWxO3wJOJUmaSrNaRlakjP0pCu1pKZT7qa58HZxpT6Va2pX8WK+lWtqetkibu9BaZGhtSpM474gAAsLS2ZMthXZ2mtsbExPXv25Ndff0WSJIKCguR4BbnJnZo0tyGb176kpKQXvp6XHWHMCgQCgUBQzmnfvj0bNmxg1KhRqNVqMjIyCAgIkOUODg4cPHjwuTMJCF4+1Or/X25pbW2tJ7ewsECpVKJWq8nKyipJ1QQlzFtvvcXBgwcBmDFjBn/99Zc8S3zt2jW2bNkCZBuy7du3L1CdkiSRnKEmKCY123D9z3j1j0wi/RmRf5/EyFCBkaEBSgMFyv/+GhkaYGigQGmoQGmgwMJEST0nK9lwrV/FClvz/Ge6c3KsqlQqYmJicHBw0JEHBwfL22ZmZnnWUa1aNXn777//1kmblrMvBxcXl4JfsCBPhM+sQFDKJCYmIkkSCoUCGxub0lZHICgQot2WTfz9/VmxYgW+vr4kJCTg4uLCiBEjGDt2rN6g7GWkuNutVqvl6NGjnDt3DrVajYeHB7169SpXy5sjIyNxcXFBq9VStWpVAgIC5AE+ZKfneP/99wEYMmQIW7duLS1VXxpKq79NSEjA3d1dnmmsXr06ffr0ITw8nN27d8svPiZNmiQvN09MzeJaaAJRSelEJ2fwOCmdx8kZ2dvJGTxOTs/XaDU3NqRhVWsau9jQ0NkaZxszzIwNMFEaYmZsiKmRIaZKA8yMDTFRGhZL2ppp06axePFiAD788ENWrFghz86ePn2a119/HUmSqFq1KkFBQRgZGenVkZKSgrOzM8nJyRgYGLBs2TK8vLxQKpXs3buX9957T56RvX37doXzOy/TqXnKKsKYFZRnSjtVhEBQGES7FZQkSUlJREdHY2tri729vo9aQSnOdnvq1ClGjx7N/fv3dfY7OTmxZMkShg4dWqTnK0769OmDr68vAO3atWP27NnUqlWLPXv28PXXX8vLkI8ePUrnzp1LU9WXgtLsbw8dOkSfPn300vHk0LZde75dvY1LISmcDojhZlgi2gJYFnbmRjRytqGRszWNXLL/1rC3KPU0NYGBgdSvX1821Fu0aEGPHj24f/8+f/75p7z/m2++YdasWfnW88033+ikMbWyssLY2JjY2P+Pgjxw4ED++OOPYrqS0kMYs4VAGLOC8owwCgTlEdFuBSXBuXPn+P7779m7d68cUOX111/n008/pXfv3s9dX3G12zNnztC5c+d8B/wAGzZs4L333iuycxYnfn5+tGvXTm9slZu+ffvy559/ltl0HaWJSqVi06ZN+Pj4EBERgZ2dHX369MHLywtHR8fnrq+0+9uLFy8ye/bs/9JyKjByrIF9w1dxa9udBKU96U/4sdasbEF1e3McLE1wtDb5768pjlYmOPz3MTcuu56Oq1evZuzYsfnKu3Tpwv79+zExMcm3jFarZeLEifz22295yrt27cquXbt0/JIrCsKYLQTCmBWUZx4/foxGo8HQ0LBQDzmBoDQQ7VZQ3Pj4+PDee+/p5KLPzaxZs/jmm2+eq8782m1ycjLr169n48aNBAcHY2lpiaenJxMnTnzmEkBJkmjatCk3b94EoE2bNnz88ceYm5uzbt069u3bB2SPS8LCwrCysnounUuL8+fPM3DgQEJCQvRkw4cPZ/Xq1fn6DL7M3LlzB09PT51IwDlYW1vz559/8uabbz5XnaXR32q1EmEJadx/nEzA4xQCHqdwOzSOBzGppD6RxcbRyoTXalem/X+fKjamJaJjcbJv3z6+/vprrly5Iu+zt7dn/PjxzJo166mGbG7+97//8euvv3LmzBnUajVNmjRh7Nix9O7dG0NDw+JSv1QRxmwhEMasQCAQCAQVB39/fzw8POQlfc7Ozrz22mtcv36du3fvyuV8fX3p1avXC50rICCAbt268fDhQz2ZoaEh3t7eT40Cffr0aV577TUAmjdvzrlz52QfWUmSGDp0KNu3bwdg5cqVT53xKWtkZWWxa9cuDh8+TEpKCjVq1OD999+vcD5+RUV8fDweHh6EhYXJ+6ytrXUi1pqZmXHx4kUaNWpUGirqkJ6lITwhjfCEdMISUglLSOdRjIqAxyk8iEnJ17fVwtiQV2ra0752ZV6rU5k6jpYVcoZekiT8/PzkF1xt2rTB1LT8G+rFjcgzKxAIBAKB4KVm2bJlsiE7atQoVq5ciZGREZIksWjRIqZPnw7ATz/99ELGbGpqKm+99ZaOIevi4kJ0dDSZmZloNBrGjRuHm5sb3bp1y7OOixcvyttjx47VCfakUCj46KOPZGP2woUL5cqYNTIyYtCgQQwaNKi0VSkXrFq1SjZkmzVrxu+//06LFi14+PAhH3/8Mfv37yctLY0ffviBjRs3lohOWq3Ew1gV14ITuBORRFhCGmEJaYQnpBGTkvnUY40NDahR2YLajpbUcrSkjqMltf/7GBlW/AkjhUJB48aNady4cWmrIngKwpgVCAQCgUBQpti9ezcApqamLFmyRI4YqlAo+Oyzz1izZg3379/n5MmTxMfHY2dnV6jz+Pj4yLkyGzZsiI+PD02bNiUhIYGZM2fK+STnz5+frzGbe4GbUqk/rMq9lLACLIYTPIUNGzbI23/88Qd16tQBoEaNGmzfvh1XV1fi4+PZvn07K1euLJZl2rEpGVwLSZA/10MSSEpX51ve3NgQF1szXOzMcLY1w9XOXDZYXe3MUL4ERqugfCOMWYFAIBAIBGWKhIQEANzd3fVSkSgUCpo2bSpHDU5MTCy0Mbt582Z5e926dXJwHVtbW5YtW8axY8fw9/fn33//JSgoCDc3N706mjdvLm+vWbOGUaNG6Riwq1atkrdbtGhRKD0F5YOcHKR169aVDdkcLCwseOONN/jrr7/IzMwkKioKd3f3Qp1HkiTiU7N4GKMiKFbFoxgVgTEqboQmEBKXplfeRGmAh4sNHtVscKtkjvN/xquLrRk2ZkYVcomw4OVBGLMCQSlz69YtMjMzMTY2FktZBOUG0W4FxUnVqlUJDAzk/v37hIaGUq1aNVmWmZnJqVOngOxZz8qVKxe43ifbbWhoKJDt19imTRudsgYGBnTt2hV/f38AwsLC8jRmO3bsSL169bh79y7nz5+na9euTJ48GQsLC9atW4ePjw8A5ubmDB8+/PluhKBcYWlpiUqlIjw8nNTUVJ38vJIk6aRtsrS0LFCd4Qlp7Dl9gwex6USlaklQG/EwRvXU2dZaDhY0c7WjWXVbmrvaUq+K1UuxLFjwciKMWYGglNFoNGi12nwjdgoEZRHRbgXFybBhw5g3bx4ajYYRI0awceNGqlevTnx8PFOmTCEyMhKA3r17F9goAP12mzPrm5SUREhICK6urjrl/fz85G1ra+s861QoFKxYsYK33noLtVrN8ePHOX78uF65H3/8EVtb2wLrKih/eHp6sn79elJSUpgzZw4//PCDPOu5adMmOeJ1q1at8nwJk6HWcCssiavB8VwJjudKUAKRSen5nq+qjSlu9ubUqGyBu70FDZ2taVLNFhszo+K5QIGgDCKiGQsEpczdu3fl/HH16tUrbXUEggIh2m3RExwczJo1a7h8+TIKhYJWrVrh5eWlMyv5shAZGUnDhg2Jj48HsmdJa9euTVBQkJzLValUcvr0ab0Z1afxZLudO3cuc+bMAaB///5s2bJFTrmxc+dOBg4cCECtWrW4d+/eU8cVhw8fZsyYMTqRbCHbCF60aFG5CvwkKBxXrlyhZcuWGFpVxsjeleqN2+BSrwnRMbGEhYaCpEXSauj59ts09WiMgYECQ4WCxLQsrobE4xeWRKZGN4KwoYGCGnbG1LQzwtXWhNb13XGvbI5bJQvMjLOXs0uSRGpqKiYmJnn6bQsEJYlIzVMIhDErEAgEgvJKToChOXPmoNU+MZA1NGTBggV8/vnnL51f27lz53j77beJi4vTkxkZGbFp0yYGDx78QueIiIigdu3apKamAtnLm998803u37/PuXPn5HK//PILH3/88TPry8rKYu/evTo5JQcPHoyFhcUL6SkoO2RptCSnq0lOzyI5XU1IXCoBj1MIjE4hIDqFu+EJZEmFH3/aWxjTvLodLdxsaVHdjibVbDA3zttADQkJYcmSJWzcuJHY2FgMDQ3p3r07kydPzjdgmUBQ3AhjthAIY1YgEAgE5ZVFixbx+eefP7VMQY2pikZUVBS//fYbW7ZsISIiAltbW/r168fEiROpW7dukZxjz549DBw4kMzMvNOUjBgxgg0bNogxxUtAcnoW/pHJ3IlI4k5EMqHxqSTlMlyT07Pyzb2aGwOFhCIlluSw+2TFhSFp1djbV6Z1m7Y0btIErRa0koRGK6HWSpgoDWhSzYaWbnZUr2ReoBdX58+fx9PTU1698CQzZ85k/vz5z30PBIIXRRizhUAYswKBQFC+SE1N5dSpUyQmJuLi4sIrr7zyUvbZOdevUqkA+Pzzzxk/fjxarZYVK1awZMkSINu3MywsTMzwFROXLl3i22+/xdfXV54db9iwIZMnT8bLy+ulbJsVmUy1lrCENO5GJnE7Isd4TSI0Xj8ScH6YGRliZaqkqo0ptRwtqeWQnc6mloMlbvbmGBkaEBgYSGRkJLa2tjRo0KDI2lF8fDz16tUjOjoaABMTE9q0aUNgYCDh4eFyuS1btjBs2LAiOaeg+EhKSmLHjh3cu3cPMzMzunTpwmuvvVZuV+MIY7YQCGNWIBAIygeZmZnMmTMHb29vOf0KQM2aNfnqq68YNWpUKWpX8qxatYpx48YB4OXlxerVq3Xk7777rpw+Zv369bz//vslruPLRHx8PGFhYVhaWuLm5lZuB5MvM2qNlpiUTMIT04hISCciMY1w+W8a4YnpxKRkkN/ot6qNKQ2qWlO/ihU1HSyxMTPCylSJlakSa9PsbUsTZanmX12yZAlTp04FoEOHDuzYsQNHR0c0Gg1Llizhs88+A6BJkyZcu3ZNtOMyiiRJLFy4kHnz5skvNHNo2rQpmzZtwsPDo5S0KzwlbZcJL3GBoJQJDQ1Fo9FgaGj4UgZ6EZRPCtNus7Ky6NOnDwcPHtSTPXjwgNGjRxMUFCQH5HkZuHv3rrw9ZMgQPfmQIUNkYzZ3WUHheFa7tbOzK3TO2vJIYmIie/bsISIiAjs7O3r27EnVqlWL5VxpaWlERUVhaWn5XOmUcpOUnkVoXBoRiWlEJWUQlZTO4+T0XNsZTzVUc2OiNKCOkyUNqljToKq1bMDaWRgXSrfi5Ml2+8cff8iylStX4ujoCGT72E+bNo0//viDixcvcuPGDe7fv19kS/IFusTHx7NhwwZ8fX1JSEjAxcWFESNG0K9fP4yNn92OZs+ene9S8OvXr9OxY0fOnj0rgiw+A2HMCgSlTGxsrBxdUxizguIkMDCQ7du3ywPXPn360KJFi0LVVZh2u2LFCtmQVSqVDBkyhMaNG3PkyBGOHDkCwNy5c+nRo8dzRagtL6SkpHD+/HlUKhXu7u54eHjIkXMBeclgbnLvy11WUDhEf5uNWq1m9uzZ/PLLLzozQkqlkmHDhrF8+XKsrKyK5Fx+fn58//337NixQ45E3bp1a6ZMmcLQoUN1Zg3VGi2PYlUEx6USGp9GSFwqIXFphCZk/01MyyrQOQ0NFDhZmVDV1oyqNqY45/rrbGNGVVtT7C2My82M5ZPtNqdfsLW1pX79+nrl27Vrx8WLF4HsPkQYs0XP8ePH6d+/v47P8rVr19i/fz8NGzZk//79uLu753v8/fv3WbBggfy/l5cXAwYMICIigh9//BE/Pz/i4+P59NNP2bdvX3FeSrlHGLMCgUBQwVGpVIwbNw4fHx9ye5bMmzePTp06sWXLFpydnQtUV0ZGBrt37+bgwYNIkkTjxo1p0KDBM99CS5LE8uXL5f8PHz5M586dAZg+fTrz589n1qxZACxfvpyNGzc+72U+9dw5A8HSGLyqVCpmz57NmjVrSEpKkvc3a9aMvn37yv//+OOP9O7dGzMzM/m4n376SZZ36tSpxHQW6OPn58cvv/yCr6+v7Os8fPhwJkyYgJOTU2mrV2AkSWLkyJFs2bJFT6ZWq9m4cSN3797l+PHjclssLP/88w+9e/cmLU3XF/XixYsMHz6cY/87zahpc7j0KIFLQXFcCYpHlfn03NWVLIxxtjWlirUpjtamOFqZ4GRtipO1CY5Wpjham2BvYYKhQfkwVAuDg4MDgYGBJCQkcOfOHRo0aKAjP3v2rE5ZQdHi5+dHz5495SjokJ0+LMff/vbt23Tr1o2rV6/mG+dg9erV8vP4q6++Yt68ebKsf//+NGjQgLCwMA4cOEBwcDDVq1cvxisq50gVAI1GIyUkJOh8NBpNaaslEBQIlUolpaSkSCqVqrRVEVRA1Gq19Oabb0pAvp+6detKcXFxz6zrjz/+kBwdHfWOr1KlirRr166nHvvo0SO5/Ouvv64nT01NlSwsLCRAcnFxKfT15ubGjRvSqFGjJCsrKwmQrK2tJS8vL8nPz69I6i8IKpVKevXVV596/52cnOTtWrVqSfPmzZPmzp0rubu7y/s9PDwkrVZbYnpXVArb365bt04yNDTM8/uzt7eXzp8/X0waFz179+6VdVcqldK4ceOk7du3S19++aX8WwGk77777oXOExUVJVlbW8v1VapUSXpn4HCp/puDJbs3xkhV3l0sVZ+2W3Kbvk/n03DWQcnz5/9JH2y4KH2z109ad+qB9I9fpOQfkSSlpGcV0V0oXzzZbn/66Sed/jQyMlKSpOz+/ocffpBlTZs2Ff1GMTBs2DD5Hnfr1k26ffu2pNVqpaNHj0p16tSRZStWrMi3js6dO8vlwsPD9eRffPGFLH/W87WsUdJ2mTBmBQKBoALj4+MjPxCtrKykBQsWSGfOnJG8vb0lFxcXWTZjxoyn1rNjxw5JoVDka5ApFArJ19c33+Pv3Lkjlx00aFCeZapVqyYbBy/K1q1bJaVSmaeuxsbG0p9//vnC5ygIuQckxsbG0nvvvSfNmTNHatmypbzf0NBQNuTz+lhbW0tXrlwpEX0F+pw8eVIyMDCQvw9zc3OpYcOGOvsqV64sPX78uLRVLRCenp6y3hs3btSRXbx4Uf6du7m5FWoslZGlke5FJklec5ZJ1m0HSPY9pkj1P14jeXx9SM9wdZu+T3L7eLP0sc9laeOZh9Lt8ERJrRHG17OIi4uTHBwc5O/RxMREeu211yRnZ2edvsPHx6e0Va1wJCUlSUZGRvKzKiUlRUd++fJl+f63atUq33pyG7MRERF68i+//FIYswVERDMWCASCCkynTp04efIkAPv376dHjx6yLCAggAYNGqBWq3F0dCQ8PBxDQ0O9OjIyMnB1dZX9tHr27Mm4cePQarX8+uuvHD58GABnZ2cePXqEkZGRXh0qlQp7e3syMjKwtbXl0aNH2NjYyPJz587Rrl07ANq2bcu5c+cKfc3Xrl2jdevWqNVqAKytrWncuDE3btwgJSUFAGNjY65evUrDhg0LfZ5nkZ6ejouLC3FxcSiVSs6fPy/7KEuSxPjx41m1ahUAo0eP5sGDB5w4cUKnji5duvDzzz/TuHHjYtNT8HR69Ogh+3qPGzeORYsWYWVlRUhICMOGDePUqVMAzJ8/n5kzZ5amqgXCzs6OhISEfH/zufuM0NBQHJyqEvA4heA4FcnpalQZalIy1KRkaHJtq0lJVxORmEZwXCrafEaWCgXUc7KilbsdBzcu5/qRXWiSo/Hz8yvW32JF5Fl5Zp9cuiooGvz9/eVl3UOGDGHr1q16Zdzc3AgODqZSpUrExsbmWc9nn33Gjz/+CGQHgpo7d64sS0lJoX79+oSFhaFQKHj48CFubm7FcDXFg4hmLBAIBIIi4+rVqwC4uLjg6empI6tduzZdunTh8OHDPH78mPDwcFxdXfXq2LVrl44hu2fPHtn39J133qF79+78888/hIeHs2/fPh0/0BwsLCwYMmQIGzZsICEhgZ49e7Jo0SI8PDz4559/mDx5slx2zJgxL3TNixcvlg3Z999/nxUrVmBhYUFycjLjx4/Hx8eHzMxMlixZopcKpyi5du0acXFxAPTr108n2JZCoWDu3LmyMXvz5k0uXLiAv78/V65cQaFQ0LJlSxG4pZSJi4vj0KFDAFSvXp3ly5ejVGYPnVxdXdm4cSO1atVCkiR8fHxK1JiNjIzkzJkzZGRkULduXVq0aFEgn3CNJtsn1dTUVG9wGZ2cgdaxHtZtKmHkUIN3t/gTnHAddX7WaT5YmihJiXhASkQghqoY1v78HTUdLKhR2QJTo2zjOemYCVeSs/uV3Gm6BAWjbdu2XL9+naVLl7JhwwZiYmJQKpV0796dyZMn07Vr19JWsUJibm4ubwcFBenJVSqV/Lx8Wl7wDz74QDZm582bR2RkJAMHDiQ8PJwff/yRsLAwADw9PcuVIVsaCGNWIChlVCoVkiShUCie2vEJBM/i7t273L59G6VSSZs2bXBycpIHt1qtVm5nuckx+oB8B8KXL1+Wt8eNG4dCodBpt+PGjeOff/4BsgOPhIWFsXHjRoKDg7G0tMTT05OJEycyc+ZMdu/eTWJiIqdOnZJnYnPj4eHBiBEjCn0PNBoNO3fuBLJnoLy9veUgNlZWVvz222/s2bOHlJQUtm/fzqpVq4otKFTuoDcuLi56cgcHB4yMjMjKypLL1q9fP8/opIKi4Xn726ioKDlIy+uvvy4bsjnUqFEDd3d3Hj58SGRkZLHonJdOn3zyBjW5cQAAIABJREFUCTt27ND5/TZt2pSFCxfSrVu3px7f2MOD89duEyXZMHvjPxjauRAYncKdiCRiUjKhZi/samaXfRCXDoCVqZJa/+VctTTJzrNqYaLE0lSJpYkhliZGWJgY4mBlQi0HSxytTOjQoYM8a+2smUyDqs1lHSRJ4vjx4/L/VapUKarbUyHJr926urry448/smjRItLS0jAxMclzdY2g6HB1daV+/fr4+/tz9uxZ9u3bR8+ePWX5ggUL5P78aS8U6taty4wZM/j222+RJIlVq1bJLzdzsLW1ZfHixcVzIRUIYcwKBKVMQECAHGm1adOmpa2OoBxy4cIFPvvsM/73v//J+5RKJQMGDKBJkyb8+++/RERE8NdffzFgwAC5zK1bt+QBpbOzc74RjXMbezkD+9ztNre3yurVq3VmWaKioli+fDne3t789ttvHDp0iL59++Y58G/VqhV79ux5oQiqKSkppKdnD8CbN2+uV5eVlRVNmzbl9OnTJCcnk5mZWWwpb2rWrClv+/r68sMPP+gswd67dy9ZWdmpRmrVqlUsOgh0ed7+NnfO2evXr+u9EIqJiSEkJATIHngWN1FRUbRv357AwEA92fXr1/H09GTr1q0MGjSIDLWGkLhUHsWkEhidQsDjFAKjU4jr+AWur2fPyG66kwU8+v9KJC1ZceFkRj+kTd1qfDJyIPWrWuFia/bcL32GDx8uG7Njxoxh+/bt1KlTh9TUVObMmcOtW7cAeOWVV3R+KwJ9ntVuFQqFzoyhoPhQKBRMmjSJCRMmANmrk3r16iWnmbtw4YJc9uOPP35qXfPnz8fCwoIFCxboREYGaNy4MZs3bxYvNwuAMGYFAoGgHHPs2DF69Ogh52/MQa1Ws23bNuzt7eV9I0aM4Pz583Tu3Jlr166xePFiOZXAuHHj8vVnadWqlbzt7e2t8xZaq9Xi7e0t/5/bkHV2diYmJobMzEw0Gg1jx47l0KFDBAQEsG3bNvbs2UNiYiLOzs6MGDGC7t27v/CsgoWFBSYmJmRkZHD9+nUyMjJ0jFWVSsXNmzflsgVJbF9Y3Nzc6NKlC0ePHuXBgwcMGjSIb7/9lpo1a+Lr66sz0HnRpdWC4qFKlSq88sornDt3jlu3bvHTTz8xdepUFAoF6enpTJo0SZ4dzWt5fVHzySefyIZspUqVeG/kKEzsXdh/8iJBcakY2TkzxTeQnwOPEJmUkY/vqgFIElkJkWTFhpAVF4o6NoTM6CCyYoKQsjJwc3Nj/eqLL5TWZcSIEXz33XcEBwdz9epV6tWrR926dQkLC5N91wFmzJhR6HMIBKXB2LFjOXbsmLwKaM+ePezZs0enzKJFi2jWrNlT61EoFMyYMYMJEyawfft2AgICMDU1pXPnznTq1Knc5EEubUQAKIGglAkPD0ej0WBoaFjgXJ8CAWQHGHJ3dycqKgqAOnXqMHToUJKSkti4caPsr+nk5CSXyYumTZvy77//YmVllac8MzOT6tWry3V0796dgQMHolar2bx5szz7kkPDhg3x8fGhadOmJCQkMGPGDNngff3113VmkIuDoUOHsm3bNiDbSF+6dCkmJiakpaXx0UcfsXbtWgBGjhzJunXrilWXM2fO0KlTJ3kGNi9ee+01Tpw4IZYHlgCF6W937tzJwIED5f/r1q1L48aN+ffff2XfOBMTE27fvl1sM4xxqkwu+Acz2OtjDGyrYl6lJjWatCUiOQvNU/xZLYwNca+c7ata29GS2o6W1HKwxN5Yg9eo99m7d6/eMS1btmTnzp24u7u/sN45+TZz/P+e5Oeff9bxlxfkjRgnlD3UajWLFi1i2bJlREREyPs9PDyYNWuWTp/xslHSdpkwZgUCQZESHx9PRkYGlStX1vMvExQtmzdv5t133wWgc+fOHDx4UJ5pjIqKonnz5vJDdsSIEWzfvl3PqOrTpw+///47lSpVeuq5du3aRf/+/SnII+PcuXO0bdtW/l+r1dKoUSP8/f0BePToUbEGtLh06RJt27aVZ53t7e1p1qwZV69elQ18pVLJpUuXSmRp/969exk2bJjObFQOHTp0YNeuXc+8/4LSZcaMGXz33Xd5yoyMjNi2bRv9+vUrdP3pWRrCE9IIjU8jLCGN0PhUwuKzIwM/iFGRkJr/yxBzY0Pc7S2wM8riwPYNZMWH07ZBDbatWUZlS+Onzu7cuHEDHx8fIiMjsbW1pW/fvnTo0KFIZ4Ti4uJYtWoVGzZs0PGjnzRpkk5QNIGgPJKVlcXly5flVUaNGzd+6WdUhTFbCIQxK6iIZGVl4evry8aNGwkKCsLS0pIePXrg5eWFk5NTaaung0ajYd26dSxbtowbN24A2b5mI0eOZNq0aeJNcjExatQo1q9fD8DRo0fp3Lmzjnz+/PnMmjULyPZlfeedd/jzzz+JiIjA1taW3r17U7t27QKfb/fu3UyYMEHnLTRAtWrV0Gg0REREYG1tTWJiot6xkyZNYtmyZQCcPn2aV1999Xku9blZv349Y8aMkQ3a3CiVSjZs2MCwYcOKVYfcxMbGsm7dOg4fPkxKSgo1atRg5MiRvPnmm+JZVU7YvXs3S5YskVcWKJVK+vXrx/Tp0wtslCWnZ+EXnsStsERuhSUSFJdKaHwa0ckZzzzW1khLxL1rZMWG0rNDK8YP60tNB0ucrE1QKBRERUXJgZS6desmp8wSCASCkqRMG7PHjh1j8+bNnDlzhpCQEGxtbWnVqhWzZ8+mZcuWeR4jSRIdO3bk33//ZeLEiSxfvrxA5zpy5AizZs3i+vXrmJub07NnTxYuXIijo6NeWWHMCioaERER9OzZkytXrujJzM3N2bJlC3369CkFzfTJyspi0KBB7N69O0+5k5MTR48epVGjRiWsWcVnyJAhbN++HchezpeT+y6H33//HS8vLwCWLVvGRx999MLnzMrKYt++fVy6dAmFQkHr1q15++23adu2rdxeQ0JCqFatms5xXbp04dixY0B2GpqSyJt68eJFfvrpJ/766y850NOAAQOYOnWqmBESFJr4+HiSkpKoXLnyUyMip2So8QtL5Gauz8MYFfmNusyNDalmZ0Y1O3NcbM2oZmeGi50ZNStbUqOyBbdvXpP911u2bMmFCxd0xjlLly5lypQpAHz00UfyyyOBQCAoScp0nllvb29iY2OZPHkyDRs2JDo6msWLF/PKK69w+PBhvVkBgBUrVhAQEPBcSp08eRJPT0/efvttfH19efz4MdOnT6dLly5cunSp2CJPCgRlgczMTHr06MG1a9fkfUqlUg4ykpqayqBBgzhx4kSxz24VhG+++UbHkG3evDmOjo6cOHGCjIwMoqKi6NWrF3fu3CnWYDsvI3Xq1JG3//zzT7766isdeU5wCuC5ZmCfhpGREX379tULdtOrVy/ZmP3kk0/YvHmz3Ff/+eefsiFbs2ZNGjZsWCS6PIvWrVuzdetW1Go1KSkpWFpaiqXvLyGSJHHs2DFWrlzJ5cuXUSgUtGrVivHjx9OxY8fnXhJoZ2enE+VYkiQiEtO5E5H03yeZOxFJPIzN23B1tjHFo5oNHi421Ha0xMXWnGp2ZtiaGz1VlxYtWtC0aVOuX7/O5cuXGTZsGDNnzsTR0ZHt27fz5ZdfymVzXmLlla5LIHgSrVbL8ePHOXfuHGq1Gg8PD3r27Cme2YLygfQcREVF6e1LTk6WnJycpC5duujJHj58KFlaWkp//fWXBEgTJ04s0Hlat24tNWzYUMrKypL3nT59WgKkX3/9Va+8RqOREhISdD4ajeY5rkwgKD3u3Lkj3bhxQ7pz544kSZK0ZcsWCZAAqXr16tKhQ4ckjUYjPXjwQBowYIAs6969eylrLkkqlUqys7OTAMnQ0FDat2+fLIuIiJCaNWsm67t9+/ZS1LRiEhAQICkUCgmQjI2NpZ9++kmKjY2VHj58KE2YMEG+966urjr9aVHwZLsNDw+XzM3N5XM6OztL7733ntSuXTt5HyD98ssvRaqHQPA0MjMzpWHDhum0wdyfkSNHPtdvIyU9S7oWHC9tvxgszdlzSxq88ozUdO5hyW36vjw/r3x7RPLacFH65cg96Zh/lBSdnP5C13Po0CHJwMAg3+sBpBEjRkjnz5+XOnTooLNfqVRKQ4YMkcLCwl5IB0HJ82R/W5ScOnVKqlevnl47qlKlirRt27YiP5+g4lPSdlmR+Mx27tyZsLAw7t69q7O/W7duWFpa8tdff6FQKAq0zDgsLIxq1arx3Xff8cUXX+jI6tWrh5ubG3///bfOfrHMWFCeuX79uk7+uG7duvHPP/8A+n6QWVlZ1K1bl0ePHgEQGhqKi4tLaagNwIEDB3j77beB7ABDmzZt0pEfOXJETho+aNAgeUmsoOiYMGGCTmqcvNi0aRMjRowo0vM+2W4hOz3BwIEDyczMzPOY4cOHs3HjRtE3C0qM3L7aAKampgByLmKAzz77jIULF+ocl5KhJuBxCveikgl4nML9qGTuRaUQlpCW53kMDRTUdrCkQVUr6le1pkFVaxpWtcbBquhXkm3fvp0xY8agUqn0ZCNGjGD48OH06dNHL11XDq6urpw+fRpXV9ci101QPOTV3xYFZ8+epXPnzjq/hycpjueHoGJTppcZ50ViYiJXrlzRW2K8Zs0aLly4wO3bt5+rvpwk2k2aNNGTNWnShNOnTxeoHj8/P9zc3LC2tpb3ZWRkyNE07ezsqF69us4x9+/fl5MWP9lZxMTEyKHlq1evrrPESKPRyHpbWVnpheZ/+PAhSUlJADRq1EhnmVtCQgJBQUFAdk7GJ3O63bhxA0mSMDMzo27dujqykJAQOTJnvXr15Ic0QEpKipyLztHRkapVq+oce/v2bbljfHLJX0REBI8fPwagVq1aWFpayrL09HT5pUWlSpX0Hob37t0jLS0NhUKh9x1GR0cTHh4OZOdfzJ1gXq1W4+fnB4C1tTU1atTQOfbBgwfyD6Nx48Y6KSzi4+MJDg4GwMXFhcqVK+sce/36dSDb1zT3skyA4OBg4uPjAahfv77OEvakpCQePnwIZPt95gTWyMHPzw+1Wo2JiYleUuvw8HA5ZUPt2rV1/KpSU1O5f/8+kB1lValUIkmS3C7u3bsHZOfAfOONN3TqjY+Pp23btrIxGxQUJBuzmZmZ3LlzBwAbGxu9tAqBgYFyNFUPDw+dTiU2NpbQ0FAgO5hP7tykWq1WzstpaWlJrVq1ZFlO+4PsfIyZmZk6y5Jy3+/IyEie5NatW2g0GkxNTalXr56OLDQ0lNjYWLme3AnhVSqV7L7g4OCgF2DK39+fjIwMlEqlnq9uZGSknGKmRo0a5b6PGDNmDJGRkezatYsnMTIy4tNPP8XDw4P09PQi7SNyoiLnXhbZq1cvjh07xqxZszh58qQcfKlBgwZMnjyZDz74gICAANFH8Hx9xJP+x3fv3iU9PR1DQ0M93+PHjx/LAbrc3d2xsbGRZaXRR0B29OqcoGANGjTQ6SMSExPl/qxq1ap6cTFepI84e/as/KLH2NiY3377jebNm8vB9X744QfUag0rNu6gRe8xhKbAnYgk/MISiEzO+4UMgK2pAa7WRtSvYkmbui40qGpNHSdLTJSG//URKZCWgoOV7m+1qPqI/v3707VrV9avX8+JEydQqVQ4OjrSp08fXn31VVq3bi0bsnXq1KFz586kpKSwf/9+EhISCAkJYfz48ezfv1+MI/6jrPcRBgYGKJVK+dlQFH2EJEl88MEHsiHbqlUrPvzwQ+Li4vD19ZVTrk2cOJHevXtjZWVV4foIMY7IprhsjZLihY3ZiRMnolKpmDlzprwvLCyMadOmsXDhwueOYprT6PJKU1CpUiVZ/izUarVeCglJkuQBWI7/4ZPH5JcLUKvVyrK8omMWtN4ndcpdr0ajybNeSZIwMjLSk2k0mheqN79rzV3vk9ea+x7mVW/Otebl91PQesvKd/Osa83KykKtVuf5pulp382T9T7ZSeZ0FKmpqURHR+t03BqNRn5YAHrBRwr7nRf0Hj55fO4H86VLl/SOy51/9MnOE7IH11qtNs/8ms9zD/PSN+e3U9h6y0o7fNZvGbLThgwfPpxjx47h5+eHUqnktdde46233kKpVOZ5L160j8jhSYOoRYsWLFy4kKSkJLKysuQVNTl9gugjkMu/aPvOS/a0enOOfVa9eVHYPuJJnZ7kWdf6In3EgQMH5O/0k0+m0mvgMB7EqPCPTCbGvSv1PqpNksISA2MzvtirH9vD1tSAuk5WNHSxo7ajJXWdrHC1MSLswf8bYjVr6hpiJdUOK1WqxNSpU5k6dSpxcXE8ePAAAF9fX3mQnZOu6+bNm0iSxNixYxkyZAgREREcOHCAwMBADA0NxTiCst9H1K9fX+eFQFH0EdevX5eN/2bNmsmTRTdu3KBjx47MmTOHAwcOkJSUxNatWxk7dmyF6yPEOOL/6y0OW6OkeCFjdtasWWzZsoVly5bpRDMeP348TZs25YMPPih03fkFQShooAalUqlXVqFQyF9UXkFAlEplnl8kZL8Vy5Hl1ekUtN4ndcpdb14/RCMjI51Zu9wYGhq+UL25/+ZX75PXmvse5lVvzrXm9T0VtN6S+G4kSUKj0Tz1u3nWteZc57Pu4fPW+/rrr3P37l0kSeKrr75i5cqVch3nz5/nzJkzQPYbyicN4Wfp+6L38MnjO3bsiIODA9HR0Zw4cYJVq1bx4YcfYmhoyI0bN3RecuWVg9HY2BiNRlPk99DIyAitVvvcv5vy3Ed4eHjQv39/HVnuN6ol3UfY29vnOetSXvqIvOotK32EkZERGo0mT9nT6s059mn1FnUf8aROT/Ksa33ePiJLoyUkLhW/kFiupNlj7zkJZaVq7DVqyLb5R3QrMHHAANBmZVDZKJOurRrSoKoVTiZqrLQpWJkY5Dnr8riMtcPc9eZevTZz5kyMjY3lPqJKlSpMmDBBTtd1/PhxunfvLsYRvJx9RM7sIcC4ceMwNjYmMzNTrnfkyJEcOHAAgAsXLjB27NgK0UcUtN6XcRxR1LZGSVFon9m5c+cyZ84cFixYwIwZM+T9O3fuZOjQoZw6dUpnut/Ozo4PPviAhQsXYmFhke8XefjwYd566y32799Pjx49dGQDBw7k9OnT8hKTHITPrKAgSJLEnj17WLZsGSdPnkStVlOzZk28vLz48MMPdZYrlSYPHz6kXr168tuuxo0b06NHD+7fv4+vr6/8tu7J315psWTJEqZOnSr/7+TkhL29vY6LQfPmzbl48WKpdnYCgaB8k5apISopncik9Oy/ielEJWXo7VNr8x/WuNiaUcfJkgZVrQm+foZVi75GHRfOgvnzykR/+qKURrqukiIjI4O//vqLs2fPolaradKkCUOHDtVZSi8oOLmf3atXr5bbRQ7nzp2jXbt2AIwePZrff/+9xHUUlE/Khc9sjiE7Z84cvc7/1q1bqNVqXnnlFb3jVq9ezerVq9m1a1e+OTJz1vbfvHlTz5gtqdyEgoqHVqtl7Nixep3xgwcPmDFjBmvWrOHo0aN6SyZLgxo1arBq1SpGjx6NJEncunVL9pPIoXv37kybNq2UNNRlypQpBAYGsmLFCgCioqLkZW6Q7WOxZ88eYcgKBIIC8zgpHb+IJG6H//eJSOJRPqlunsTMyJCaDhbYGmSwf9tasmJDcTSVOOa7jRrVs2MMhIaG8urYOahjs902cgLZlXdKI11XSbBv3z68vLx0ni0A06ZN4/vvvy9XRnlZoVmzZvL277//zqhRo3Se06tWrZK3mzdvXqK6CQTPw3PPzM6bN4/Zs2fz1VdfMW/ePD35o0ePZEft3Lzxxhv06dOHyZMn07hxYz3n+ty0bduW1NRUrl27Jv+wct4QeXt7M378eJ3yYmZW8CwWLlzI9OnT5f9dXV1xcHDg6tWrsg9A48aNddpcSREZGSkvB8rtg3r48GHmzJnDuXPn5H2Ojo5MmDCBL7/8skzlf5Mkib///pvly5dz/PhxMjIyqFevHl5eXnh5een4+ggqBvm1W4HgeUnJUHM6IIZrIQn4/We8xqTkHYnXzMiQKjamOFmbUMXaFKf/Ptn7TKlqY0oVa1MMDBRIkkT79u05e/YskB1joHv37mg0Gg4fPiwHvunUqRPHjx8vsestTgIDA6lTpw6SJGFsbMz333/P+++/T1JSEosWLeLXX38Fsp+BDx48KBd5lw8fPszbb7/9VJ+8pUuXMmnSpBLUqmQpjv5Wq9XSoEEDOehkly5dmDx5MhYWFqxdu5YtW7YA2UGvwsLCyszqNUHZp6TtsucyZhcvXsy0adN46623+Prrr/Xkec3GyifKJzWPUqmkY8eOHD16VN534sQJunbtyjvvvMOECRN4/PgxX3zxBTY2Nly6dEknUhwIY1bwdDIzM3F1dZUjK65bt4733nsPAwMD7t69yzvvvCNHBdyzZw/vvPNOier3rJD79+7dIzg4GEtLS1q0aFGmjFjBy0txpYooy2RmZspRRQUvRlhCGkfvRHHkzmPOBcaSqdENdqJQQM3KFjRytqGRszUNnbNT3VSyMC5w7AzIfsHeoUMHQkJC8pS7u7vz77//6kWDLc+UVrqu4kCr1VKvXj056mz37t2ZMmUK5ubmrFu3jvXr1wNgZmZGaGhonsFDKwLF1d8eOXIET0/PPAMK5bB8+XImTpxYZOcUVHzK9DLjvXv3AnDo0CEOHTqkJy+M+61Go9F729apUycOHDjA7NmzeeeddzA3N6dnz54sWrRIz5AVvBxIksS///7L2rVruXfvHmZmZnTp0oUxY8bg5OT01GNPnDghG7IDBgxg5MiRsqxevXr89NNPsgG7bdu2Ejdmn0XdunX1QqULBIKSITk5GW9vb9asWcP9+/dRKBS88sorTJgwgaFDh4rl8wVEq5W4HprA0TuPOXInCv9I3YGOm705r9ayp5GzDQ2dralfxQpz4xd/aeDu7s6FCxeYO3cumzZtknOzWlhYMHLkSGbPnq2X6qO8s3TpUjIzM/P0cTQyMmLJkiXlwpCF7Od3jiH76quvcuDAAXlA3KFDBwwNDfn9999JS0tj8+bNFXp2tjh488032bt3L6NHj5ZTeuVgZWXFwoUL9VZDCgRljUIHgCpLiJnZik1KSgpDhw5l3759ejJTU1PWrFnD8OHD8z1+8+bNvPvuu0B2wIMpU6boyOPj4+W3uV27duXvv/8uQu2fTVJSEpIkoVAodKJmCgRlmZeh3UZERNClSxc5N+uT9OnTh+3bt4vVEvmg0UqcfxDL3hsR/HM7SmfpsIECWrrZ0aWBE282cKSWg+VzzbgWBpVKxeXLl4Fs39LSyolYUly7do3Vq1frpOv64IMP5Nzk5YHcQYrWrFnDmDFjdOTnz5+XVwVW5CBFxd3f5uRePnPmDBqNhiZNmjB48GDhIiQoFGV6ZlYgKGkkScrXkIXs5Ovvvvsu9vb2vPXWW3mWye2ffeHCBT157n25k3yXFBXVEBBUbCp6u5UkiQEDBugYsi1btiQpKUl2S9i9ezczZ85k0aJFpaVmmUOrlbgUFM++G+EcuBmpY8BamijpWNeBLg0c6VTPkUoWJfsSwMLCgg4dOpToOUuTZs2ayYH5yiu5B7+ZmZl68oyMjDzLVjSKu781MjJiwIABDBgwoFjPIxAUBxX3ly+oEJw+fVo2ZG1sbFi/fj2pqakEBATIs62SJDFjxox8l7l36tRJnnndvn07f/75p1w2ODiYTz/9VC4rOnLB85KcnMzZs2f5999/iY6OLm11BEXEqVOn5JzOrq6u3Lx5k0uXLnH37l12794tp5fz9vYmMTGxNFUtdSRJ4kpwPN/svc2r3x9j0MqzbDwbRExKBrbmRgxp7crG0W24MqsrK4a3oF+LaiVuyArKJ23atJG3f/vtNx3jVZIkli1bJv/ftm3bEtVNIBCUDcQyY0GZZsyYMaxduxaAtWvXMmrUKFkmSRItWrTg2rVrQPaSqvwCI3zzzTc6QcsaNGiAo6Mjp0+flgMf1K1bl1u3buWbA1kgyE1MTAyzZ89m48aNsh+eUqmkb9++LFiwQCdFhqD88dFHH8mzWnkFy/nwww/57bffAPDx8WHo0KElrmNJEK/KJDIpnXhVJrGqTOJTM4lNyf4bp8r+PIpREZ6YLh9jZaKkW6Mq9GxalddqV8bIUDyLBYVDkiSaN2/O9evXgewUMRMnTsTCwoJ169bJbkE2NjaEhoaKZbECQRlALDMWCHKRE/gB9GdNFQoF/fv3l43ZgICAfI3ZGTNmcPv2bTmZ/J07d3SWD7q4uLBnz55SMWQzMjJkXxgR4Kx8EBkZyeuvv67TPgHUajU7duzgyJEjHDt2TCePX0WjuNvthQsX+PXXXzl79ixqtZomTZowduxY3nrrrWL3rQR0ZtnzitTfrl072ZiNiYkpdn1KAkmSCIxWcelRHJeC4rkcFM/DGFWBjjU3NuTNBk70bFKVDnUdMDUqm4GxRH9bvlAoFKxatYpOnTqRlpbG1atX8fLy0ivn7e39XIZseHg4MTExODg4lAvfadFuBYL8EcasoExjZmYmb4eGhtKgQQMdeWhoaJ5ln0SpVOLj40PPnj1Zvnw558+fB8DJyYkxY8YwefLkUoto6e/v/9KlOCnvjB07VjZkzc3NGThwIObm5uzcuZPo6Gji4+MZOHAg/v7+FTbabXG1W0mS+PTTT1myZInO/gcPHrB7927eeecdtm/f/tTfe1GQ29f+/Pnz1K5dW0eeO/9zafjaFwWpmWr8wpO49Ciey0FxXA6KJz41S69cZUtj7MyNsbMwxt4i119zYypZGONgZUKL6naYGZf9ti762/JHmzZtOHbsGF5eXvj5+enIXFxcWLp0Kf379y9QXb6+vixcuFB2IQB4/fXXmT59Om+//XaR6l2UVJR26+/vz6+//sqJEyfIyMigbt26eHl50bNnzwr7rBQF1rhfAAAgAElEQVQUP2KZsaBMs2jRIj7//HMABg4cyNatW+UO7969e7Ro0QKVSoWZmRnh4eEFTuqdmppKZmYmNjY2JTLL8zRexnyd5ZnAwEDZsHFycuLChQtUr14dyI44+cYbb3DlyhWgdPIWlxTF1W6///57vvzyS/l/ExMTjIyMSElJkfcNHz6czZs3F9k58+LkyZN06tQJADc3Nw4dOkT9+vWRJImDBw/St29fMjMzMTc3JywsrMB9T0mTkqEmKFZFUGwqj2JVPIpR8Sg2laBYFVFJGXrlTZQGNHW1pZWbHa3dK9Giuh025hXH9UL0t+WXnBR9uVdreHp6Fjjv84IFC/jqq6/ylS9atIhp06YVlbpFSkVot4sXL+bzzz9Hq9XqyTp27Iivry82NjaloJmgqClpu0wYs4IyTWxsLG5ubrJPYqNGjejfvz8RERFs2bKF1NRUIHumbOXKlaWpaqEJDg5GrVajVCplo0hQdvH29mbChAkAzJ8/n5kzZ+rId+/eTd++fQGYOHEiy5cvL3EdS4LiaLcqlQoXFxcSExNRKBQsWrSICRMmYGxszM6dOxkzZozcF9y9e7dY8y9LkkS7du3kVRwKhYK2bduSlJTE7du35XJTpkzRm0UuLeJUmVwPSeBaSALXQxPwC08iOlnfYM1NZUsTWrrZ0tq9Ei3d7GjkbIOxsuI+O0V/+3Jy7NgxunTpIv/fsGFD2rZty5kzZ7h79668/9SpU7Rv3740VHwq5b3dbtmyRSfugIGBAaampvIYDqBbt24cOnSo1CcYBC+O8JkVCHJhb2/Phg0bGDx4MBqNBj8/P71lRh4eHvzwww+lpOGL86IPJo1Gw40bN0hISMDFxaVYB/gCZGMKoGbNmnryWrVqydu5ZxMrGsUxoNq3b58cGfjdd9/ViTQ+ePBggoKCmD59OpAdlGnevHlFrkMOCoWCnTt30qVLF+7du4ckSTpLiwF69uxZan1PepYGv/BEroUkZhuvIQkEx6XmWbaShTFu9ua421vgZm9OjcoWuNlb4G5vjq35yxVVuDwaAoIXJ/cLp7lz5zJr1iwUCgWSJPHVV1/x7bffAvDzzz+XSWO2PLdbrVarE4Dzs88+48svv8TGxoZ9+/YxevRoYmNj+fvvvzl9+jSvvfZaKWorKI8IY/YlJiUlBR8fHw4fPoxKpcLd3Z2RI0fStm3bMvVmrH///vz999/MnDlTZzBpbm7O+++/z7fffltml/gVJ1qtlqVLl7J06VKCgoLk/a1bt2bWrFkFXt6akZHBtm3bWLt2Lffv38fMzIzOnTszceLECh3AqLC4ubnJ2/v27dOLYrt37155293dvaTUqhCEhITI256ennpyT09P2ZjNXba4qFatGhcuXGD58uWsXr1a/p21bNmSiRMn8t5775WYn1d6loarwQmcfRDL2cAYroUkkKXRX1hV08GCZtVsaepqi0c1G2pVtqxQy4QFguclKyuLgwcPAuDs7MyMGTPkMY5CoeDrr79m9erVREdHs3fvXjnQkqBoOHPmDIGBgQB07tyZhQsXyrJevXqxePFiRo4cCcCGDRuEMSt4boQx+5Jy9OhRBg8eTGxsrM7+lStX8vbbb7N161asrKxKSTt9OnfuzNmzZ7l9+zYBAQGYmprStm3bl9a/QqvV8u677+Lj46Mnu3jxIr169eKXX37h448/fmo9UVFReHp6cvXqVZ39Dx48YM2aNXz77bc6/ouC7Nk4Ozs74uPj8fHxoUGDBkyaNAlTU1O2bNnC/Pnz5bI5uZAFBSN3n3Pv3j09ee59JdU/2djYMHPmTGbMmEFqaipKpbJEoolmabTcCE3gTEAsZx/Ecjkongy1rq9ZZUtjmrna0sw123ht4mJbIMM1PT2dnTt3cu7cOdRqNR4eHgwfPvylfClYFgkLC8Pb25sdO3YQExODo6MjgwYNYvz48eUi8m5ZIzU1FY1GA0C9evX0fGyNjY2pU6cO0dHRZGRkkJmZKSIGFyG5X7bnFWSrZ8+eeZYVCAqK8Jl9Cbly5Qrt27cnPT093zLdunXj4MGD4h6WUVavXs3YsWPl/7t3707jxo05cuSInI9PoVBw7do1mjRpkmcdWq2WV199VfYJBHBwcCA5OVmnbeSVY/Nl56efftJZAmtgYIChoSFZWf8fCXb06NH8/vvvz6xLq9Vy7NgxvYFrp06dXrrZgUePHlGzZk0kSaJy5cqcPXtWDrYVFxdHp06duHnzJgAHDhzIc/a2PKLRSjyMUeEXnsjt8CT8wpO4EhxPaqZGp1xlSxNerWVPu1r2tKtpj5u9+XO3kT179uDl5aWTegiyV7p8++23TJ48+YWvR1B4/vnnH/r165eni4K1tTW+vr5yYDJBwdBqtdja2pKcnIyFhQWhoaE6L25iYmKoVq0aGRkZ2NvbV5hUW2UFX19f+vTpA8D48ePx9vbWkZ87d4527doB0LdvX/76668S11FQtJS4XSZVADQajZSQkKDz0Wg0pa1WmcXT01MCJEDq2rWrdO7cOenx48fSmjVrJDs7O1l26NCh0la1QnPjxg1p4sSJUrNmzaRmzZpJ7777rnTr1q1nHqfVaqVGjRrJ39POnTt1ZFOnTpVlH3zwQb71HDhwQC7n4uIinTx5UtJqtVJycrL01VdfybI6deqI39MTaLVaacaMGfI9evIzcOBAKT09/Zn1BAUFSS1btsyzjrZt20qhoaElcDWF4969e9Lt27ele/fuFWm9/fr1k++BiYmJNHDgQOn999+XbGxs5P3169cvt20yPUst3QxNkLZdCJJm7b4p9V1xSmow66DkNn2f3qfp3MPS+E2XpA1nHkr3o5IkrVb7Quc+ePCgZGBgkG+7BaQlS5YU0ZWWTYqr3RYFd+/elczNzeXvwsDAQHJ3d9f5zqysrKQHDx6UtqrljvHjx8v30NPTUwoJCZEkSZIePXokvfnmm7JsypQppaxp3pTldvss4uPjJTMzMwmQzM3NpWvXrsmy1NRUqUuXLvL9X7VqVSlqKigqStouEzOzLxlhYWG4uroiSRLVq1fn3r17Ostp/vjjDwYPHgzAgAED2LFjR2mpWmHRarVMnTqVpUuX5in/7LPP+OGHH/KdcQkJCZGDQbRt21YvKE1ycjJOTk6kpaVRvXr1fJftDBs2jK1btwKwa9cu+c1pDm+88QYnTpwA4OzZs7zyyisFvsaXhRs3buDt7a2TKmLs2LF07NjxmTNmCQkJtGrVSvYlyov69etz4cKFMrXkP4fiShURHR1Nx44duXPnTp7yypUrc+LECRo1alRk5ywu4lSZ3IlI4k5EErfDk7gdkUTA4xTUWv3HrqmRAQ2qWtPI2ZpGzjY0rWZL/SpWGBgUzey8Vqulbt26cnvz9PTkk08+wdzcnHXr1smrCExNTQkLC6NSpUpFct6yRllOcTJ+/Hg5Kn/Pnj1ZuXIlzs7OhIaG4uXlxeHDhwGYPHkyP//8c2mqWu4ICAigefPm8oy3QqHAxcWFsLAwcobB1tbW3LhxQycuQlmhLLfbgjBhwgR5RlapVNK7d28cHR3ZvXs3ERERQHbf/ujRIywsLEpTVUERIKIZC4qV+/fvyx1337599fxC+vXrh5GREVlZWfj7+5eGihWeOXPm5GvIQnauuxw/vbx4VjRdKysrHB0dCQoKemo03dDQUHm7W7duevJu3brJxmzusoL/p0mTJnpLpgrKL7/8IhsWNWvW5LvvvpNTRXz55ZcEBQXh7++Pt7e3nGv5ZcDBwYHTp08zf/581q5dS0JCApCdb3bIkCHMmTOnVAJrqTVaguJSSUjNJD1LS3qWhvQsLWlZmv+2NWSotSSnq7kXlcydiCQiEvN25bAxM/rPaM02XBu7WFOjsiWGRWS45sXx48fl9ta+fXv27dsnDyzat2+PgYEBq1evJj09nc2bNzNp0qRi00Wgj1arlWMgWFhYsHnzZjkmRLVq1diyZQvVqlUjPT2dTZs2sWTJkpfODeFFqF27trzcNTk5GUmSdJ5rtra27Nnzf+ydd3hUxfrHP5u62U0PENK7QAhFpCkgYANEuKKAiFyQ5g9FRKRYAEWKiMoFRUApIhdQELhKUUSRooCAgASSUBIgIQ3SN8luks2W3x9LjlmyoSbZlPk8T549OTNn9j1nZ2fnnfJ9t9dKR7Y+sGDBAk6cOMGxY8fQ6XRs3brVLF2hULBlyxbhyAruCuHMNjDKO6837pkC02xR2b4/IYBQ9WRnZ0tKfjY2NnzwwQeMGzcOo9HI0qVLmTlzJkajkfnz5/Pqq69aFLjy9fXFzs4OnU7Hnj17KCoqwsnJSUo/ffq0NBt7s05/+bLj4uJo3769WXr5WJqurq53db8CyxiNRlatWgWY6sHPP/9MREQEYFJLbt26NVFRUYBpf3RtdGarc3bAw8ODhQsXMm/ePM6dO4dOpyMiIqJGBN9KdHoSszTEZxQQf62QhIxC4jMKuJyltqgefCuCvBRE+rjSwseVSB9XIn1d8XGT17gjcvr0ael41KhRFUbIR48ezcqVKwGkfff1kdo6q1VQUCDNZHTs2LFCXffy8qJdu3YcPnyYnJwcIVJ0FzzyyCOcP3+eL7/8ks2bN5OdnU3jxo0ZPHgwL730Et7e3tY2sVJqa729XVxcXNi7dy/z5s1jxYoVkviojY0N/fv35/33369U30MguBXCmW1gtGnTBjc3N1QqFVu3bmX69OlERkYCpg72vHnzpLw9e/a0lpn1lo0bN1JSUgLA+PHjpTAjANOnTycpKYmVK1eiVqvZvHkzY8aMqVCGq6srzz77LJs2bSIzM5PBgwezePFiQkNDOXz4MGPHjpXylsndW+Kpp55i586dAEybNo3t27fj7OwMwB9//MHGjRsB04i1kMqvWtRqtRRapnPnzpIjW0bLli154IEHOHHiBAkJCdLysoaGXC6vlvBQJTo9yTlFJOdoSMpWk5SjITlHw6UsNUnZGvQWlgEDONnb0sTVEbmdLXJ7GxztbZHb2yK3s8HJwRa5nS1ODraENlYS6eNKs6YuuMhrx+dW3nm1JP5X1i7dmFdQMygUCmmQsmwAp7zqrlarldS8HR0dcXBoWPGBqwofHx9mzZrFrFmzrG1Kg0OpVPLBBx/w3nvvERMTQ0lJCWFhYbV6EEFQNxDObANDoVAwatQoFi1aRElJCZ06dWLEiBGEhYWxbds2Dhw4AICtrS3jxo2zsrX1j/L7IwcMGFAh/ZlnnpFmRy5dulRpOe+88w7btm2juLiYnTt3snPnTuRyuVknNTQ09KbO7AsvvMDMmTPJzMxk3759hISE0KdPH9LT09mzZ4+U7//+7/9QKBR3cpuCW1C+k5qXl1chrqHRaJSW18pkMuFc3CX5xaWcva4OfP5qAYnZapJzNKTnF3MztQgXRzvCvZ2JaOJMRBMX6djXzanK9rDWNJ06dZKOv/jiC0aNGoVcLgdM9a381gexP77msbe3p0+fPuzYsYP09HTmzJnDrFmzkMlkGAwG3n33XUllt3///mKJcSXExcWxZs0as5jpQ4cOFctXaxGOjo488MAD1jZDUI8QAlANkPz8fLp3786pU6cqzbN48WIRoqEamDFjhjT7vXbtWoYPH26WXj7kzuzZs5k5c2alZf3yyy8MHDiwQt0HiIiIYNeuXYSFhd3UnoMHD9KnT59K99Y+9thj7Ny5UyxnqwY6dOjA8ePHAdi5c6dZ/L2tW7cycOBAwLSf8eDBg1axsa5gNBrJKCi5HtZGRex1B/ZKjqbSa5QOtgR6KQn0dCLIS0mAp4JgLwURTVzwdnWsd86C0WikXbt2UrvfunVrxo8fj1KpZM2aNfz222+AaftBamqq6Pxbgf3795utiGrWrBkdO3bkyJEjxMfHS+cPHTrEQw89ZA0Tay1arZZx48axZs2aCmkeHh5s2LCh3oTyEghqOzXtlwlntoGiUqmYMmUK69evN5vNCw8PZ/bs2Tz//PNWtK7+cuDAASlGYMuWLTl8+DBarRaDwUB+fj59+/aVlpLdjoJwZmYmX331Fdu2bUOlUuHr68uwYcMYPHiw2T7amxEXF8fcuXPZsmWLtF86KCiIV155hddff10sZ6smvv76a0aOHAmYZmVGjhwpCUCtXbsWnU4HwLfffsuQIUOsaapFsrKyMBgM2NjY0KhRo2p5D4PBSGpeESm5RWSrS8hRa8kq1JJdaDrOLtSSrS4hq1CLqqjUYhl+7k5E+pr2q4Y2NjmtQZ4KPJUO9c5hvRV//fUXPXr0QKOx7OTLZDK++eabWlnfqoqaqLf3woIFC3jrrbcqTV+0aBGvv/56DVpUNxg+fDjr1q2rNN3e3p59+/bRpUuXGrSq6qjt9VYgKI9wZu8C4czePdnZ2fz+++8UFhYSEhLCQw89JJ5bNWI0Gmnbtq0kxuLt7c3jjz+OTqdj9+7d5ObmAqZZu6NHj9ZoZ1ulUnHlyhXkcjmhoaHY2trW2Hs3RPR6Pc888wzbt2+vNM/AgQPZtGlTrfxOVmWoCJ3ewJUcDfEZ1wWXrhUQn1HIxcxCiksNt1WGjQxCGzubqQRH+rjioRSDMeU5duwYY8eONROEAggICODTTz+1uP2hPlEXQpzs3LmTjz/+mN9//10617NnT6ZNm0bv3r2taFnt5Pjx43To0AEw7bOfM2cOAwcOJD09nblz5/LTTz8BdXuVS12otwJBGcKZvQuEM1sRvV7Prl272LBhA+np6Xh4eDBgwAAGDx4s7ZMSWIfY2FgefvhhcnJyLKY3btyYP/74g2bNmtWwZYKaRqvVMn36dJYvX24WcsnFxYXx48czZ84cs/21tYm77VxptDpi0/I5k6IiJlVFXHo+lzLVaPWWnVYHWxv8PZxo5OyIp9IBL2cHvJQOeJn970igpwInBzEAczsYjUYOHz7M4cOHpfjIvXr1qrV1rSqpS05BRkYG2dnZNGrUiMaNG1vbnFrLyy+/zBdffAHAkiVLePXVV6U0nU5Hq1atpFCDcXFxtGjRwip23gt1qd4KBMKZvQuEM2tOSkoK/fv35++//66Q5u/vz7Zt22jXrp0VLBOUkZCQwJtvvsm2bdvQ6/WASRRowIABLFiwgJCQECtbKKhJ8vPz+fnnn6VQEb169cLFxcXaZt2U3Nxcadmbh4eHxTwarY64tHzOpKo4k6LiTKqKi5mFWBILltvbEF4muNTkuviStwsBHk7Y2TbMtlxQ9dxOvRXULXr06CGJV+bk5FT4XN9//31JvXjLli08++yzNW3iPSPqraAuUdN+Wf0fhm1gqNVqnnjiCc6ePWsxPSUlhccff5wTJ07cNAapoHoJDw9n69atpKenEx0djUwmo23btkKivoHi6urK4MGDrW3GHXFjhypPo70uvGQSYIpJVXE5S23RcfV2daSVnxtRfm5E+brRrKkLfu51VylYUHcQjkD9o7yuQ25uboXPuPwqqLqqASHqrUBQOcKZrWesWbNGcmRDQkL49NNP6dmzJ6dOnWLKlCkcPXqUnJwcFixYwPLly61srcDHxwcfHx9rmyEQ3BHX8ouJSVURk/qP85qaV2Qxb3nHtdX1vyautW+rg1qtRqvV4ubm1mBX9QgEdZFu3brx66+/AjB//nxWrFgh6U2kpqby3//+FzCJQImwUwJB/UMsM65ntGvXTlpefOLECbPlxNnZ2QQFBaFWq1EqlWRnZ4uQKwKBoFKMRiPX8ktMy4RTTXtcz6SqyCwosZg/0FNBlN918aXrQkxNXGqf41qGwWBg/fr1fP755/z111+Aac/6qFGjmDRpklgpIRDUAdLT0wkODkar1QLw8MMPM3jwYNLS0lixYoUUn3fYsGE3VTwWCARVg9gzexcIZ/YfnJ2dUavVhIWFkZCQUCH96aefZtu2bQAkJiYSFBRU0yYKbqBszywgFIQFNUaJTk+uupRsdUm5Vy05mlJy1CWk5hZxJjWfrMKKjquNDMKuKwdH+boS5e9OpK8rrnJ7K9zJ3aHT6Rg6dCibN2+2mO7r68vevXuFEFs9Q7S39ZPyMdotERISwuHDh2natGkNWlV1iHorqEuIPbOCe0Iul6NWq8nJyUGr1VbYH5Kenm6WV2B9YmJihEqhoNowGo0kZWs4nariTEoep1NUnE3PJ79Yd1vX29rIiGjifH1/qyut/N1o4eNK/NnY6/W2kDahYdV8F1XPvHnzzBzZyMhImjRpwqFDhygtLSUtLY1+/foRGxuLvX3dcdIFN0e0t/WTsWPH4uHhwdtvv202kG9jY8OAAQNYsmRJnXVkQdRbgeBmCGe2nvHII4+wefNmcnNzWbJkCZMnT5bSfv75Z44dOwb803ETCAT1B6PRSEpuEWdSVZxOUXEmNY8zKapKHVdbGxkeCgc8lfZ4Kh3++VM40NhVTktfV1o0da13IW+Kior47LPPAFNnd8uWLTz99NPIZDJSUlLo06cPMTExxMfHs3379jqpfioQNDQGDhzIM888wx9//EF8fDxyuZzu3bsTEBBgbdMEAkE1IpzZesarr74qzTZMmTKFPXv20LNnT6Kjo9m0aZNZvjKBBIF1cXFxQafTNYgYjw2RvLw8Nm3axIULF3BycuLRRx+lR48e9/z9K5txjUkz7WONTc0nJk1Fnqa0Ql4HOxsifVxp7e8miTH5ujnhIre7awXhulxv9+/fLymcDhkyhAEDBkhp/v7+fPLJJ/Tu3RuAzZs3C2e2HlGX663g1tjY2NC9e3e6d+9ubVOqFFFvBYLKEd+KesbDDz/MtGnT+OijjwDTbOzPP/9slqd///6MHTvWGuYJLBAaGmptEwTVgNFoZP78+cydO5eion+UfufNm0fLli1Zv349bdu2vWU5BoORawXFJGVruJKtIT6jwOS8puVTYGHG1d5WRrOmLrT2d6e1nxut/N24z9sF+yqO1VqX6212drZ03KFDhwrpHTt2lI7Lh/UQ1H3qcr0VNFxEvRUIKueOnNm9e/eyfv16Dh8+THJyMu7u7rRv3553332XBx54QMr32Wef8c0335CQkEBBQQHe3t489NBDzJw5k5YtW97yfcoHwC5Pr169Kjhmgop8+OGHhIaG8sEHH3DlyhXpvKenJ+PHj2fmzJlidE8gqGamT5/O/PnzLabFxsbSo0cP/vzzT1q0aIHBYCQ1r4iEzEKSstQk5Zgc16QcDck5Gkp0BovlONjZ0MLHJMJUNuN6n7cLDnYNT/zuTii/xeLgwYO8/vrrZukHDx6Ujhs3blxjdgkEAoFAILgz7kjNeNCgQWRnZzNo0CAiIyPJzMxk4cKFHD9+nN27d/PII48A8N5772FjY0ObNm3w8PDg0qVLfPjhh6SmpnLixIlbqkP26NGD5ORkNmzYYHbe3d2d5s2bV8gv1Iwto9frOXToEFevXsXd3Z1u3brh5ORkbbMEgnrPhQsXpHZOJpPx0ksvMWjQIFLT0vn485UkZGlwaBRISNuHCGzViYSMQjRafaXl2drI8PdwItBTQWgjJS393IjydSPC27nKZ1wbAlqtloCAADIyMgBYvXo1L774IjY2Npw7d45+/fpJIjLbt2+nX79+1jRXIBAIBII6Q60OzZORkVFBNKiwsJDw8HCioqLYs2dPpdeePXuWyMhIZs6cyezZs2/6Pj169CArK4uYmJjbsks4swKBoDbx+tS3WL5uC3aefjz+zAsER3XgcpaahIxC1JU4rfa2MkIaKQn2UhLkpSDQS0mQp4JgLyW+7nLshNNapXz88cdMmzZN+t/f359GjRpx6tQp6VyrVq34+++/RSgMgUAgEAhuk1odmseS+q2zszORkZEkJyff9NqypVpieatAYM7ly5clYYeQkBBrmyO4A7ILSzh3tYCz6fkkZBRyKUtNYpaaDNtu+LzYDYBTOjh1Kk26xt5WhkJfSNrZE5RmXeH1Uc8xrN9jBHkp6tQsa12vt5MnT+bChQusWrUKgJSUFFJSUqT0sLAwduzYIRzZOoDBYGDPnj3s3r0btVpNcHAww4YNw9/fv0Leul5vBQ0TUW8Fgsq5Z89SpVJx8uRJaYlxefR6PTqdjsuXL/PWW2/RpEkTRo4ceVvlXrx4EU9PT/Lz8wkKCmLIkCHMmDFDLJMV1Dvy8/Ol+HGC2olWZyAho5BzV/Ml5/Xc1QIyC0oqvUavzqU0J42BvR6mZWBjQhopCG/iTJCXkpnT32HBdpNIW9upzxHexLmmbqXKqOv11sbGhhUrVtCvXz8+//xzDhw4gFarJTw8nDFjxjBu3Djc3NysbabgFsTExPDcc88RFxdndn7GjBmMGzeORYsWmdXRul5vBQ0TUW8Fgsq5Z2d2/PjxqNVqpk+fXiFNqVRSUmLq7N13333s37//tuJ9de3aleeee47mzZtTVFTErl27+Oijjzh48CD79u27rWnq2NhYgoKCcHV1lc6VlJRw7tw5ADw8PAgMDDS7Jj4+Ho1GA1AhKHVWVhapqakABAYG4uHhIaXp9XppSbSLi0sF1bnLly+Tn58PQMuWLc1mp/Py8khKSgLA19e3gtjI6dOnMRqNODk5cd9995mlJScnS0qbzZo1Qy6XS2mFhYVcvHgRMM2o+/j4mF0bFxcnNYyRkZFmaenp6dJesrCwMJyd/+loFxcXc/78ecAkKHXj53nhwgWKioqQyWS0bt3aLC0zM5O0NNMMVVBQEO7u7lKaTqcjNjYWAFdX1wojj5cuXZKWLERFRZnNluTm5kpCV35+fjRq1Mjs2ujoaAAUCgURERFmaVeuXCE3NxeA5s2b4+joKKXl5+dz+fJlALy9vSsEXI+NjUWn0+Ho6FhhL3daWhqZmZkAhIeHo1QqpTSNRkN8fDwAXl5e3Mj58+cpLi7G1taWqKgos7SMjAzS09MBCA4ONutsa7Vazp49C4CbmxvBwcFm1168eJHCwkLAtHyy/PcoOztbmpXy9/c3s8tgMHDmzBnAtBIjLCzMrCsXOS0AACAASURBVNzExERUKhUALVq0wMHBQUpTqVQkJiYC4OPjU2F1R0xMDHq9HrlcXmEvfUpKiqQ6GxERgUKhkNLUarW0p7Fx48b4+vqaXXvu3DlKSkqws7OrIDp39epVrl27BkBISIjURuj0Bi5dU3Eo+gLphTqytbbkaG1IzDaJMOkMFXdkyGQQ5KmghY8r/i62uFCEr4sde7dtZPnn/wHAI3QGL70wi5iYGNTpGZy9KmPdunXXr5fRrl27W7YRiYmJnD59mvPnz2NnZ0ezZs0YMGAATk5OVmsjSktNIYAMBnNxqrrURshkMvr3709QUBBGoxG5XF7hu1wb2ogbZxhFG2Hi4MGDPPXUU1LZ5dHr9SxdupSkpCS+/PLLCm2ETqcjOjr6jtoIEP2I8oh+hImaaCNu3BEo2oh/qE39CBBthDW4J2d25syZbNiwgSVLlpipGZdx+PBhtFotFy9eZNGiRfTs2ZPffvvtlorGc+fONfv/ySefJDg4mClTprBt2zazmICVodPpKnz5jUaj1AHT6SqGtNDpdFL6jRgMhko7b8Btl3ujTeXL1esr7qUrLS3FaDRaHI3T6/X3VG5l91q+3BvvtfwztFRu2b1aiqF5u+XWls/mVvdaWlqKTqezOLhys8/mxnJbtmyJ0WiUnlnZZ2PpPW9Wbvl7vdPP/HafoaXry9t0I7d6hlqtFoPBYHEp5508Q0v2ln13jEYjqqJSMgtKyCws4cKVLBKv5pFXbMAQoyWvxMiVbDUpuUUWHdYy7Iyl+DvLaN7UhSA3O3p3bsV93i4oHU3NaEZGhtQZGjlsCF8sWYTRaGTu3LmkpqbStm1bsrKy+Pbbb6XOWN++fQkMDCQ+Pr7Se42NjWXMmDHSj2MZHh4ezJ07l06dOlmljSjjxs5OXW4jLH2nakMbYalc0UaYlPvLOsAtW7Zk5syZhIaGsn37dj766CO0Wi07d+7kyJEjPPPMM1I+o9HI2bNn0Wq1Fp/R7X42teW3SvQjKpZbWz6bqmojyhyxsmci2oh/qIl+xN2WW1vqobXaiJrirp3Z999/n7lz5zJv3jxeffVVi3natWsHQOfOnenfvz/h4eG88847bNu27Y7fb9iwYUyZMoUjR47cljNrZ2dXoSGUyWTSB2Vp766dnV2lSzhsbGykNEuNzu2We6NN5cu19EW0t7fHaDRaLNfW1vaeyi3/Wlm5N95r+Wdoqdyye7X0I3S75daWz+ZW91p2n7d6hrcq90a77O3t0ev1Ft/zZuWWv9fK7L3XZ3ire72RWz1DBwcH9Hr9PT1DZDak5hWRkqMhJbeI5FwNsYm5pOdryVDryN2cRqm+MidVY/afo50NTZU2uMhKiDmyj+zEs+hy0ynNTUNfkMVFQPvgg7ywYAH3B3qYXVv+GQYGBjJjxgzmzJkDwJo1ayq8s4eHBwsXLgQqr4fnzp2jb9++FmeecnNzGT9+PJMmTWLEiBFWayNuTBdthHm5VdFGWCq3obcRmZmZ7N69GzB9l3799VdpVqBDhw40atRICrn07bffSs5s2Wfs4OBwV7+ttbEein5ExXJry2dTVW3EjbaLNuIfqqIfUdm9GgwG0UbcQxtRU9yRmnEZ77//PrNmzWLWrFm89957t31d9+7dycjIkJYw3AnXrl2jadOmvPXWWxViNwo1Y4Gg/lA2k5qSW0SuRkuuphTV9dc8TSl5RVrTq0ZLVqGWtLybz6iW4eZkTyNnBxq7ONLI2fGfV2dH/D2dCGmkxNtFTmpqCu3bt5eWyFniwQcf5MCBA5X+IJXdx8cff8ycOXOkZVlltGnThnXr1tGqVaub2ty7d2+pw96iRQsmTZpEkyZN2LhxIxs3bgRMPyCJiYkWxW4EgvrK77//Tvfu3QF4+eWXWbZsmVl6cXExzs7O6PV6WrduLS0TFQgEAkH1UqvVjAHmzJnDrFmzmDFjxh05sllZWZw5c4YuXbrc6VsCsHbtWsA0yysQCOouRqMRtVbPVVURyTmmmdQr2RqSczWm/3M0FJRUXEJzM+xtZfi6O+Hv4USAh8L06ml6bermRCNnBxztbm/U8IMPPpAc2datW/PBBx9IocfefvttMjMz+fPPP9m4cSP//ve/Ky1HJpMxbdo0xo0bx+bNm0lISEAul/PII4/QtWtXiyPi5bl06ZLkyAYEBHDs2DFp39m//vUvmjZtyuLFi9Hr9axatYpZs2bd1v0JBPWB8p0irVZbIb20tFRapicGtgUCgaD+ckfO7MKFC3n33Xfp3bs3ffv25ciRI2bpnTt3RqVS8fjjjzN06FAiIiJwcnLiwoULfPrpp5SUlFRwgO3s7OjevTu//fYbAH/88Qfz5s1jwIABhIaGUlxczK5du1ixYgWPPPKICF5/nbi4OFatWkVMTAx2dnZ07dqV0aNH4+3tbW3TBHdIXl4eBoMBGxsbMzGLuoa6REdMqorTKSoSs9UUFOsoKC6lsER3/fif/29jIpVGzg40cnbEXWGPu5OD6VVhevVQ2OPm5ICn0gF/Dye8XeXY2tzcObwdioqKJHEmpVLJnj17JKGE0aNHExISwqOPPgrAqlWrburMluHq6sro0aPv2Ja//vpLOh45cqSZgArAhAkTWLx4MQDHjh274/LvlfpSbwV1k1atWiGXyykuLua7775jzpw5ZuIjS5culfZ3lR8EF/VWUBcR9VYgqJw7cmZ37NgBwM8//8zPP/9cIb1MDbJNmzasWLGC5ORkiouLadq0KT169GDr1q0VFO/0er3ZpmEfHx9sbW2ZM2cOWVlZyGQyIiIimD17NpMnT27wI6w6nY7XXnuN5cuXm53ftWsX77//PkuWLOGll16yknWWSUtLY8WKFWzbtg2VSoWfnx8vvPACw4YNq9BBb4gkJSVJipB15UeqVG/g/NUCTiXncTolj+hkFfEZBbflpJahdLAlwFNBgKeCQE8FAR5OBHoprs+sKnByqPn9F8nJyajVasC0xPdGxb+ePXvi4+NDenp6hVAgVU35HSCV7Y+xlLemqIv1VlB/cHNzY+jQoXz11VcUFBTQsWNHJk6cSFhYGNu3b5dWcwGMGzdOOhb1VlAXEfVWIKicO3Jm9+/ff8s8jo6OrFy58rbLvLETFh4ezo8//ngnZjUo3njjjQqObBlarZb/+7//w9XVlSFDhtSwZZbZsWMHQ4YMkWTIwSQffvDgQRYsWMCuXbsqyNELrI/RaCRHrSVdVUxaXpHpVVVEel4xSTkazqbno9VVVNrzcZPT2t+NZt4uuDrZ4yq3x1luh4vcDhe5Pc6OdrjK7XCW2+Fkb3vLpbY1zY1S9jdSWloqObs32y9bFdx///3S8dq1a5k6daqZJP6KFSss5hUIGgrz5s1jz549XLlyhZSUFKZOnVohz5QpUyqEvxAIBAJB/eGuBKBqGw1FAOry5cuEhYVJ8tlz585l+PDh5Ofn8/HHH7Nq1SrApKR66dIlqyqLAZw8eZIHH3zQbD+Th4eHFI8NTLaePn3aLM5ZQyMzM1NSHbxxJrC60ekNXMpSE5eWT1x6PmfT80nJLSItr4gSC85qeVzldrQJcKeNv/v1VzeauMpvek1tR6/XExISQnJyMjKZjKNHj9KhQwcpfcmSJbz22msADBo0iO+++65a7enRowcHDhwAoGPHjkydOlUSgPriiy+kkE4XL16sEFOxurFmvRUIykhOTmbUqFHs2bPH7Lyrqytvv/02b775ptmgmai3grqIqLeCukRN+2X11pmdNGkSM2fOrPEOXnXy3nvvMXv2bOm4vOCL0WikV69e/PrrrwDs3r2bJ554whpmSgwcOJCtW7cC8Mwzz/Dpp5/i7+/PyZMnefHFF6UA2v/5z3+YNGmSNU1tEORptMRnFJoc1+vO6/lrBRZnWMto5OyIr7scHzc5Pm5O+LrL8XV3oqWvG8Feilo3s1oVzJ8/n3feeQcAhULB2LFjJQGoTZs2Sfn2798vqalWF6dOnaJr167SbLAlpk+fXiE2t0DQ0IiNjeWXX36hsLCQkJAQnn76abGNRSAQCKyAcGbvAksPLSwsDFtbW37//XeaNWtmJcuqlueff14KxxEXF0eLFi3M0letWsXYsWMB0wxSZfF/awKVSoWXlxd6vR5vb28SExPNlkjGxsYSFRUFQNu2bfn777+tZWq9QW8wkq4q4kqOSR04SXpVcyVbQ36xZYVgpYMtLXxcifR1pYWPK8FeSnzd5TR1k9+2AnB9oqioiMcff5xDhw5VmufVV19lyZIlNWLPkSNHGDZsGBcvXjQ7L5fLmT59OtOnT6+XgwoCgUAgEAjqHrU+NE9dIiMjg+HDh3PkyBEKCwv5/vvvSUpKwtnZmT59+tS5vZqOjo7S8bVr1yo4s9euXZOOyzuO1iAtLU0S9nrkkUcq2NOyZUuCgoJISkriypUr1jCxTlNQXMrZ9AJi01TEpeUTm5ZPQkYhWv3Nlwb7uMmJvO64RvqYnNdATwU2VaAEXF9wcnLi559/ZvLkyaxdu5aSkhIprVGjRkybNo0pU6bUmD2dO3fm/Pnz7N69m3379lFSUkKzZs14/vnn8fT0rDE7BAKBQCAQCGob9XZm9vHHH5dCW4wdO5Zvv/2WwsJCszy9e/dm9erV+Pr61pit98LatWt58cUXAdP9/fjjj5IITWZmJvfffz+pqakAXLhwgYiICGuZSkpKCgEBAQC0b9/eLMwImGZuvb29KSkpISgoiMTERCtYWTfIUWuJTs4jNk1F7PXlwUnZGot57W1lBHgoCPQyKQQHeioI8lJKx9ZQCK7LZGVl8euvv5KXl4efnx9PPPGE1QeKBAKBQCAQCGorYpnxXWDpof3www+S43czQkNDOXLkSJ3YUF9UVERQUBCZmZkAREZGMnToUPLz81mzZo10vlevXhZDJ9UkRqORtm3bcvr0aQA2bNjA0KFDAdPn9dprr7F06VLAFDahMoXmhsDp06clyf3mkVHEpedz6koufyfncSo5r1LH1ddNTqSvG5G+rrS8PtPq6+5UJfFWBYJbUb7etm7d2trmCAS3hai3grqIqLeCuoRYZlxF+Pn5mf1vY2PDqFGj6Nu3L/Hx8SxatIj09HQuXbrErFmzJMeqNuPk5MT69evp168fWq2WuLg4ZsyYYZbH19eXL774wkoW/oNMJuP1119n1KhRALzwwgt8+eWXtGrVij179nD+/HnA9LlYc2+vNdEbjFzKLGT/ZTXnM4tJyNVxeVOqxaXCoY2VtPYrc1zdiPRxxUPpYAWrBQITRqNR+hMI6gqi3gqqAo1Gw//+9z9iY2Oxs7OjS5cuPPHEE9XWWRf1ViConHo7Mztr1iwWL14s/X+jYm5ycjLNmjWjqKgIZ2dnrl69ilKprDGb74VDhw4xZcoUjhw5Ip2zsbHh6aefZtGiRQQGBlrRun8wGo2MHj2aNWvWWEyXyWR88cUXvPTSSzVsWc2j0eo4d7XAtEy4TEn4aj7FpRUdV3eFPfcHuNM2wIP7A02hb9wU1RvTVCC4Uy5cuIBOp8POzo777rvP2uYIBLeFqLeCe2X16tVMnTrVLMwgQHh4OF9//TVdunSp8vcU9VZQlxDLjO8CSw8tPDycrKwsABwcHMjNzUWhUJjlGTZsGBs2bADg2LFjZvEk6wIxMTHSqGDnzp0rzEbXBgwGAytWrGDRokVcuHBBOv/www8zffp0q4cPuhcMBiNZhSVkq7XkqrXkaK6/qkvJ1WjJUWvJ1WhJzSvicpYaS980xXUl4ShfV+4P9KBtgDtB9TTkze2Sn5/Pjh07SE9Px8PDgyeffBIfHx9rmyUQCASCBs7y5ct55ZVXKk2Xy+Xs27ePzp0716BVAkHtQjizd0FloXmys7MBU+OiUqlwcDBfljl69Gi++uorwBT+olOnTjVjcAPEaDRy7tw5VCoVvr6+lc4el5aWYjAYzJSbrUWZs5qcW0RKroaU3KLrf6bj1NyiW6oHl6exiyORPtf3t17f4xrspRRKwtfR6XS89957fPrpp2ZxVe3s7HjhhRdYsmQJLi4ut1WW0Wjk8OHDnDx5EplMRvv27enUqVODHiQQCAQCwd2TnZ2Nv78/xcXFAAwePJjhw4eTn5/Pp59+ytGjRwG4//77OXHihPi9ETRYhDN7F1TmzDZq1Ejam7lmzRozQajs7GzCw8PJy8vD0dGRq1ev4u7uXpNmC66j0+lYt24dy5Yt4/jx4wBERETw0ksvMW7cuGoNfF9cqiclt4grOWqSsjVmMVqTczSU6G7urNrIwFPpgIfi+p/SXvq/7LWxiyPNfVxo4mIdFdzMzEzWrFnDkSNH0Ol0tGrVijFjxhASEmIVeyxhNBoZPnw469evrzRP586d2bt3L05OTjct648//uCVV14hJibG7HybNm1Yvnw5Dz74YJXYLBAIBIKGw+LFi6XtaqNGjWL16tVSmlarpX379pw5cwaom6v96hq5ublkZGTg4eFBkyZNrG2OoBzCmb0LLD20tLQ00tPTefTRRwHT7Oy0adN46qmniI+PZ968ecTFxQEwfPhw1q5dW+N2C6CkpIQBAwawa9cui+lRUVH89ttvVdJQ5Wm0nLquEHwqOY/zVwu4ml9scflvGTYy8HFzws/DCX8PJwI8FPh7OOF//bWpmxx72+r5clYFq1atYsKECdJIchkymYxp06bxwQcfVFvjcifs3LmTfv36AWBra8vo0aPp2bMn0dHRLF26VPp+f/jhh7z55puVlrNv3z569+6NVqu1mC6Xy/n111/p2rVr1d+EQCAQCOot5bemHT9+nAceeMAs/bPPPmPixIkALFu2jJdffrnGbWwIHDx4kA8//JCffvpJEsR68MEHmTx5Ms8++6yVrROAcGbvisoemkwm4/nnn2fTpk2VXtukSROOHTtGUFBQdZspsMCECRP4/PPPpf9btGiBQqHgxIkT0rkePXqwd+/eO1qyo9UZOJueb+a8Xs5SW8yrdLAl0EtJoKeTWUzWIC8Fvu5O1e6sJicno9frsbW1lWLzVgXffPMNL7zwwk3zTJ8+nblz51bZe94tffv25aeffgJM8ZSHDx8upR0/fpyOHTtiNBoJCgri8uXLFuuCTqcjPDycpKQkANq1a8eYMWMwGAysXLmS6OhowDTrf+7cuVrhxNdlqqveCgTViai3grulvDN74sQJ2rVrZ5a+ZMkSXnvtNaDqnVlRb03897//ZeTIkRgMllfNvf3223zwwQc1bJXgRoQzexfc7KFptVpee+01Vq5cWaHyt2rViu+++47mzZvXpLmC62RlZeHv709JSQmOjo788MMP9O7dGzDFVOvduzfp6ekAHD16lI4dO5pdb1oirCEpW/PPEuEcDUnZapJzLO9nDWmkpI2/G20D3Gnl70aQlxIvpYNV97ZER0dL8ePatGlTJWXqdDqCg4NJTU0FYOTIkUyePBmFQsGaNWuYN28eBoMBOzs7rly5YnWBJU9PT3Jzc2nSpAlpaWnY2tqapffo0YMDBw4AkJqaiq+vb4Uytm/fzr/+9S8AunXrxt69e7GzM0Uf02q1dOvWjWPHjgGwe/fuOi0+VhuojnorEFQ3ot4K7pZFixbxxhtvADBmzBhWrlwppZWWltK+fXtOnz4NWO6z3Aui3kJcXBxt2rRBp9MBEBAQQLdu3YiOjiY2NlbK9/333/P0009by0wBIs5slePg4MAXX3zBO++8w/r167ly5QrOzs48+eST9OzZU2zQtyI7d+6kpKQEgJdffllyZAFat27N7NmzGTt2LABff7eNHEUAp5JVnE7J41Kmmqv5xRbLLcNdYU/bAHezP3dFw4jNunv3bsmR7d27N6tXr5bq+uzZsykqKuKTTz5Bp9Px3//+96ZLd2uCsh8nuVxusbErHzarLO+NHD58WDqeOHGi5MiCqR2YOHGiNFN96NAh4cwKBAKB4LYZPnw477zzDsXFxaxatYrCwkJGjBhBfn4+ixcvlhzZtm3biv2y1cCSJUuk3/8xY8awfPly7OzsMBqNLFq0iMmTJwOmUJzCmW1Y1HtntozAwEDeeecda5shKEdmZqZ0XF6Up6C4lDMpKpJdWtB4wHQcfO7jJzsvflp/skIZLo52BHqZlgQHeCoI8lQS5GVaJuzv4VQnBiuaNWuG0WisUlvPnTsnHQ8dOrRC2c8//zyffPJJhbzWolWrVhw+fJgrV66wf/9+evbsKaUlJyezZ88ewDSDa2lWFsydXEuqx+WFxCpziAW3T3XUW4GguhH1VnC3eHl58fHHHzNhwgQANm7cyMaNG83yODo6snTp0iqvX6LemlZfATg5ObFw4UJpwFomkzFp0iRWrFjB+fPn+eOPP8jNzcXDw8Oa5gpqkAbjzApqF0ajEUf3JjgGtsLew48Vf2WzS32MS1lqruRoJFEmxX0mJ1dmNNDC1502Ae60DXCjWVNXAj0VeCjs63zjLpdXvcpx+TBUZfGWy1MWtgqoFWGQxo4dK82sDhw4kPfff59HHnmEU6dO8d5770mCTiNHjjSbcS1PVFSUdPz1119XmHn9+uuvLeYV3B3VUW8FgupG1FvBvfDqq6/i4ODAtGnTUKlUZmmhoaF8/fXXPPTQQ1X+vqLeQl5eHgBBQUG4urqapclkMqKioqQIJiqVSjizDYh6v2dWUDPodDry8vJQKBQoFIp/zusNJOVoiL9WSPy1AuIzCrmcpeZylprCkspnx5oobbkae4S8S6fRpp3nl02rebiLCEJ+u5w+fVraVxMaGsrJkydxc3MDTJ9V7969+e233wDYsGEDQ4cOtZqtYNpv1KNHD7OlwjcSGBjIX3/9VamytVqtxs/PT+pgjBo1inHjxmEwGFi2bBn//e9/AdPoekpKiugcCAT3QGlpKdu3b2fz5s1kZWXRpEkTBg8ezFNPPVXpgJNAUF9Qq9Vs2bKF2NhY7Ozs6NKlC717966g9yCoOiIiIkhISMDGxobLly8TGBgopZWUlBAYGEhGRga2traoVCqz7UmCmkUIQN0Fwpm1HgkJCXzyySds+HYjxXbO2HsFcl+H7oS2fQiNvRuXMtUWhZjAFPZGrleTdTkOXU4qpTmp+LnY4awv4MTh/VK+7t27s2/fvhqbgdVoNBV+pHr16lXnfqS6devGwYMHAZNQwujRo1EoFKxbt06Kheft7U1SUlKtmJ1VqVQMGzaMnTt3Vkhr164dW7ZsuWVs3BUrVvB///d/N83z9ddfM2LEiHuyVSBoyFy4cIH+/ftLsyDliYyMZMeOHYSGhlrBMoFAUF+ZNWsW77//PgBdu3Zl3bp1BAcHk52dzcSJEyWl6YEDB7J582ZrmtrgEc7sXSCc2ZpBpzeQmlfE5Sw1iVlqDp1J4McDx5C5emPn1gSZjWVnz8nelvAmzkQ0cSbc25mwxs6ENVYS6KnEoNMyYMAAfv75Z4vXtmzZkt9++w1vb+/qvDWJlStXMm3aNGk5SxlhYWGsWbOGbt26Vfl7FhYWYjAYsLGxMdvXea+cP3+eLl26mC0pLo+DgwM7duyodUJI0dHRfPPNN6Snp+Pu7s4zzzxD9+7db3swY9myZUyZMoWioiKz8wqFgsWLF0uiYoJ7o7rqraB2k5mZSbt27UhJSak0T3BwMCdPnqyVy/xEvRXURUS9hWvXrtGyZUupTyOTyQgJCSE5OZnS0lIA7Ozs+PPPP2nfvr01TW3wCGf2Lqiqh/b333+zbds2VCoVfn5+PPfccw0mnldBcSnX8kvIyC/mWkHx9eMSrhUUk5FfTEZBCWl5RZTqK68uMn0pRlU6hanxlGZfoTTrCh+8OYHXRg/DxqZyR6RMUXfZsmVSfNnw8HDGjh3LK6+8UmMN99KlS3n11VcrTXd0dGTfvn1mYlVVQXVK7sfHxzNhwgR2795tdr59+/YsWrSIrl27Vun71RZycnJYv349x48fRyaT0aFDB4YNG4a7u7u1Tas3iFARDZMZM2Ywb948wDTYuHDhQjp16sThw4d54403pNnaOXPmMGPGDGuaahFRb6uHCxcucPLkSWQyGQ888ADh4eHWNqleIeqtiWPHjtG3b1+LWiCOjo6sX7+egQMHWsEyQXmEM3sX3OtDS0tL44UXXmD//v1m521sbBg1ahRLliypV/vr8q+rBUen5BGdnMfpFBXpqpuHuSnDwc6GYC8FpTlpnDr4K7qcVFqH+rDmswVE+Jv2Mi5btkxyClu2bMmZM2due1ZNq9Wi1+txcnK64/u6ePEiS5YsYcuWLWRlZdG4cWMGDx7MhAkTCA4Ovum12dnZ+Pv7U1xseg5Dhgxh+PDhkuT+kSNHAJPkftkPdlVREz9SCQkJHD16FJ1OR+vWrbn//vur5X0EDQfRuWp4GI1GfH19uXr1KnZ2diQkJBAUFCSlx8fHS6qrQUFBJCYmWs/YShD1tmqJjo7m9ddfr9B/euyxx1i8eDEtW7a0jmH1DFFv/yEzM5MVK1awYcMGsxVcr7zyCmFhYdY2T4BwZu+Ke3lo2dnZdO7cmYSEhErz9OvXjx9++KFOLlsuLtUTl54vOa3R12O0WsJFbkcTF0e8XeV4u8pp4uJIE1c53q6mcz5ucnzdnLCxkdGpUyeOHTsGmDowN47CPvTQQ/z5558AnD17lubNm1frfe7YsYPBgwdLzmh5FAoFW7duNYtjeyOLFy9m0qRJQM0HQ09PT0ev12Nra4uPj0+VlSsQVCei3jY8CgoKJBXRrl278scff1TI07FjR/766y/AJMpSXlm9NiDqbdVx/PhxevbsSWFhocV0V1dXDhw4QNu2bWvYsvqHqLeCukRNO7MNXnLwww8/lBxZf39/3n77bVq1asWePXv4+OOPKSoqYseOHWzfvr3WB2FWl+iIS8/nTIqKmDQVsan5JGQWojdUHK8I8HSitb87bfzdaOPvTqSvKy5y+9t+r7I9C25ubhaXE3Xo0EFyZnNycu7yjm6PuLg4Bg0aRElJP+avXQAAIABJREFUCWBaahIREcGFCxfQarVoNBqeffZZTp06RUREhMUyjh8/Lh2PGzfOLM3e3p4xY8bw2muvAXDixIkqdWbFD5OgLiLqbcOjvGOakZFRIe6lwWAgIyMDMK1sqo2qxqLeVg0Gg4Fhw4ZJjmxoaCgjRozAYDCwdu1aEhMTyc/PZ8SIEZw6darOh9CzNqLeCgSVU/t+aWqQ0tJSvvrqK8D0I/37779LaqndunWjVatWDBo0CIAvv/yy1jizRqORa/klnL9WwPmr+cSm5XMmVcXlLDWW5tkbOTvQ2t+d1v5utAlwp7WfG17O96Ze6+3tzcWLF1GpVJw5c4ZWrVqZ2Vd+xL6yUCpVxcKFCyVHduDAgXz55Zd4enqSlZXFmDFj2LZtGxqNhsWLF7N06dJqtUUgEAjqK46Ojjz44IP8+eefXLhwgc2bNzN48GApff369SQlJQEmFfq6uJpJcHvs2bNH2h/drl07Dh48KG0Pmjp1Kg8++CBnzpzh9OnT/P7773Tv3t2a5goEgnpMg3ZmExMTpVnDXr16VQj78cwzz9CoUSOysrIkYaKaQqfTER8fT05BEVpFI1ILjZy/WnDdgS1AVVRq8bqmrnKi/NyI8nMlyteNKD83vF0dq3xUdMiQIVJM0LFjx7J582YCAgLQarXMnz+fv//+G4AHHnigWvcw6PV6Nm7cCJiWNK1Zs0YSjGrUqBFff/01fn5+aDQavvnmGz7//HOLz6J9+/aSrPvy5ctZtWqVlKbVas3+f+CBBwBTnLnMzEzc3d2FsJBAIGgQTJgwQVp1M2TIEP73v/9JAlBbtmwxyyeov5TfIztlyhQznQulUskbb7zByJEjpbzCmRXUJBqNhm+//Zbdu3ejVqsJDg7mxRdfpEOHDtY2TVANNGhn9sblUTdiNBop21JcnUtkirR6ErNN4W4SrqnYsf8o51JzMCi8sHPxAtIrXGNrIyPYS0Hzpq608HEhys+Nlr5uNHapmXihI0aMYP78+aSnp3P06FFCQkJo06YNSUlJZqFg3n777Wp9doWFhWg0GsDkkN6ofOzu7s7999/PoUOHyMvLQ6vVWoyp+u9//5u3336b4uJiVq9eTUFBASNGjJAEoMr2y5YJJw0cOJAffvgBvV4PQM+ePZk8eTJ9+/attnutDRgMBoqKinBychKzLgJBA+S5557jxx9/ZMOGDRiNRjZt2sSmTZvM8owcObLWrGQSVA9lq6HA8uqr8ufK5xUIqpv9+/czePBgMjMzzc4vW7aM/v37s2HDhgYb3qi+0qCd2aCgIGnm9ZdffiEhIcFs/+fmzZslx+xeYlYZDEYyCkpIztWQkqshOaeI5BwNV3I0JGVruJp/o2hRI2y8G1HmKujyMynNSgJVOpNHD6Fv1/sJa+yM3N5yXNeawNXVlR9//JFevXqRmZmJXq/n5MmTZnnmzZvHs88+W612KJVK7O3tKS0tJSYmRlL7K6O4uJi4uDgAnJycKhUj8fLyYuHChYwfPx6A7777ju+++84sj1wu5+mnn6ZLly7odDqztH379rFv3z5mzZrFe++9d0f3EBcXJ9kdGRl5R9fWFKdOneI///kPW7duRaPRoFQqGTRoEG+88YbZEnNBw6E21VudToetra3Yl1cD2NjYsHbtWpo3b86nn35qFiKjSZMmTJo0iWnTptXaz6I21du6zH333Scdb9q0iUcffdQsvWzFFECzZs1qzK76iqi3t8fff//Nk08+WSHOfBnbt29n0KBB/Pjjj2JAvh7R4NWM33rrLRYsWABA06ZNmTp1qiQA9emnn0ojitu3b6dfv35m12p1BnI1WrIKS8hRa8lRa8kuvP6qLiE1r5iUHA0peUVodRVnfsvj5mSPTJ1F6tm/Kc1NQ5+XTvtmgfi62rN7x/eSU920aVMuXbp0V6FrqoOrV6+ydOlS1q5dS3JyMkqlkj59+jBx4sQai2H67LPP8r///Q+AyZMns2DBAmxtbdHpdLzxxhssWbIEgKFDh0pLiStj1apVTJ06lby8PLPzYWFhzJ49mxdffFEKzt20aVO6dOlCdHS0mRr2jh07eOqpp27b/touub9+/XpefPFFaRa6PPb29qxfv95s35ygYWDtepuTk8PSpUv56quvSExMxN7enp49ezJhwgT69u1ba52p+kRxcTEHDhwgOzubxo0b8/DDD1tc+VKbsHa9rS+oVCp8fX2llVFvvvkm48aNw2AwsGzZMhYuXAiYBr7T0tJQKpXWNLfOI+rt7dG3b19++uknAB599FFmz55NaGgo27dvZ9q0aahUKgB2797NE088YU1T6zUiNM9dcC8PLS8vjwcffJBz585VSJPZOWLn7s3DfZ5h6EsTuHJ9RjU5V0O6qpiCYp2FEi1jayPDx02Ov4cTAR4KAjwVBHg6EeSlJMRLia2+GF9fX9RqNY6Ojvz++++SYm5hYSFPPvmkJKr01VdfSXtRahMGg8EqI12HDx+mS5cu0v8BAQG0b9+eY8eOkZqaCphmE44ePXpbM+wajYatW7cSGxuLnZ0dXbp0oVevXrz22muSgNTw4cNZuXIlDg4OGI1G5s+fz/Tp0wHo0aMH+/btu237a/OI68mTJ+nYsaPkyLq7u9O6dWtOnTpFfn4+YHJoT548SVRUlDVNFdQw1qy3CQkJPPbYY5LY0I28/PLLLF26VDi0ggrU5va2rvHRRx/x5ptv3jTP4sWLmThxYg1ZVH8R9fbWpKamEhAQgNFoJCAggAsXLiCXy6X0jRs38vzzzwOmrWKbN2+2lqn1nlrtzO7du5f169dz+PBhkpOTcXd3p3379rz77ruSKA7AZ599xjfffENCQgIFBQV4e3vz0EMPMXPmzNsOoL1nzx5mzpxJdHQ0CoWCp556io8++sji3ox7eWilegMnL1xh8qyPOJOUgb2XP3Yefti5N8XO2fOW19vIwFPpIP15KR3xcjYd+7jJJce1qZsce9vK7dm+fTv/+te/gIpxTgEOHjxIt27dANNMZHmhDQF8/vnnlQqOyGQyvvjiC1566aV7eg9/f39SU1ORy+VSoO4yjEYjzZo1Iz4+HjDNGnl4eNzT+9UGXnjhBb755hsARo8ezWeffYZCoUCtVvPyyy+zbt06AEaNGsXq1autaaqggaDVamndurWkpGpjY8P999/PtWvXSElJkfKJTrRAUL0YjUZmz57N7NmzK+iO2NraMmfOHN566y0xqCSoEfbv30/Pnj0BmDhxIosXLzZL1+l0KBQKSktLiYqK4syZM9Yws0FQq+PMLl++nOzsbCZOnEhkZCSZmZksXLiQzp07s3v3bh555BHAFIO0T58+tGnTBg8PDy5dusSHH35Ip06dOHHixC33Txw4cIA+ffrQt29ftm3bRkZGBm+++SaPPvoox48fv6tlTMWleuKvFXL+WgEJGYVczDT9XcnWoDMYIaQvHiEVr3OR2xHkpSDAQ0Ggp8kxDfRU4Osux0vpiJuTPTY2995Ql//QLY26tWjRQjoumxET/MOrr75Ky5Yt+eSTT9i1axdGoxEbGxv69u3L1KlTpYGAeyE3NxeA4ODgCurFMpmMNm3aSM6sSqWq886sXq9n69atAHh6erJkyRJpebtSqWTZsmX88MMPFBQU8N1337Fq1SrRaRFUOz/88IPkyLZo0YLt27cTHh6OwWBg9erV0qDVxx9/zPjx42tlrFOBoD4gk8l47733GDFiBKtXr+b48ePIZDI6dOjAmDFjCAgIsLaJggZEeU2U8nv5y8jLy5O2idX27RCCO+OOZmYzMjIqzIwWFhYSHh5OVFQUe/bsqfTas2fPEhkZycyZM5k9e/ZN36djx46o1Wqio6OljkjZUtJly5bx8ssvm+W3NALwV2oRsWkFnL+Wz7n0AhKz1RgquVOFgy2hjZWENXYmrLEzoY2VBHkqCfRU4Kawt3xRFXPgwAF69OgBwBNPPMHu3bvN0jds2MCwYcMAk1JkWXxcQUUKCwvJycnB09OzShXrwsPDuXjxIra2tiQlJeHn5yelabVagoODSU9Px9bWlry8vDqvlqdSqSSn/dFHH7X4/e7atSuHDh0CoKioyGxJj0BQHQwcOFAaZPn111957LHHzNL79evHzp07AVO7+vDDD9e4jQKBQCCoWdRqNb6+vuTn5+Po6MipU6do3ry5lD558mT+85//SMeffPKJtUyt99TqmVlLS3ydnZ2JjIwkOTn5ptc2btzY9Ia3GCVPTU3lr7/+Yv78+WZ5H3roIe677z6+//77Cs6sJaZujia3yHxPq6fSgWbeLkR4O0uOa1gTJU1d5VafUeratSvBwcEkJibyyy+/MGvWLKZMmYJSqeS3335j8uTJUt7hw4db0dLaj7Ozc7U4ks8//zxz585Fr9fz73//m3Xr1uHn54dKpWLSpEmkp5tCKPXv37/OO7Jgmn11dHSkpKSEv//+m+LiYjNntbCwUApZ5OzsLEY6BTVCRkaGdGxJZK5r166SM1s+r0AgEAjqL0qlklGjRrF48WJKSkro2LEjI0eOlASg9u7dC5i2powbN87K1gqqkntef6VSqTh58qS0xLg8er0enU7H5cuXeeutt2jSpMkthYtiYmIAaN26dYW01q1bS7NAt6K5jwu+7kqaN3WhWVMXmvu40NjZ0epOa2XY2try7rvvMmrUKADef/99PvzwQ5ydnc3itnbv3l0EH7cSr7zyCp9//jl5eXns27ePoKAgmjVrxuXLlyUZeFtbW6ZNm3ZH5aanp6PX67G1tcXHx6c6TL8r7OzsePbZZ/nmm2/IyclhwoQJfPbZZzg5OaHRaBg/frw08jZo0KBa+90SVA/WqrdeXl7S8dGjRyu0h0ePHrWYVyCA2tveCgQ3Q9Tb22PWrFns27eP6OhoCgoK+Oyzzyrk+eSTT8zCcArqPvfszI4fPx61Wi0puZZHqVRKoW3uu+8+9u/ff8s9FGWOm6dnRfElT09PM8fuZrzzoAtBQUG4urpK50pKSiTVYg8PDwIDA82uiY+Pl2Tmb5Q+z8rKkpRxAwMDzfZD6vV6yQl3cXEhNDTU7NrLly9L+1xbtmxpNuOcl5cnKXI+9dRTzJ49m3fffVeyt3yw8U6dOrF161bJaUhOTiYnJwcwxXG7cdbs4sWLgGlG/cbG72bKeOnp6dKMRlhYmNksY3FxsbRfzdPTs8LneeHCBYqKipDJZBUGJDIzM0lLSwNMMX7L7zvV6XTExsYCJin/kBDzDcyXLl2SHKeoqChsbf+JsZubm8uVK1cA8PPzo1GjRmbXRkdHA6BQKIiIiDBLu3LlirQXtnnz5mazi/n5+Vy+fBkAb29vfHx82LlzJ0899RR5eXno9Xophi2YnL+1a9fSuXNn0tLSpIDd4eHhZmEJNBqNtLfWy8uL7Oxs6bPw8fHh/PnzFBcXY2trW0EhOCMjQ5oBDg4Oxs3NTUrTarWcPXsWADc3N4KDg82uvXjxIoWFhQC0atXKbLlHdna2JJ7j7+8vOQGTJ09m06ZN6PV6Vq1axebNm2nbti2nTp2SJO7t7e158skniY6OpkWLFmb7VlQqFYmJiQD4+PhUWN0RExODXq9HLpdX2EufkpIifd8jIiJQKBRSmlqtlsIhNW7cGF9fX7Nrz507R0lJCXZ2dhVE565evcq1a9cACAkJqVNthK+vr7TKpYzTp09jNBpxcnIyi/0I1dtGlN3rjZ2r6m4jOnTowA8//ADA66+/zs6dO/Hz8+PixYts3ryZ77//HvgndBbUXBvRtGlTs2tjY2PR6XQ4OjqaLXcD7qiN8Pf3N7u2NrURYFpSViam4uzsTFhYmFm5iYmJUnth7TYiIyOD0tJSZDIZGRkZoo0Q/Qig9rcRRqMRnU4n9RNEG/EPN7YR+/fv54033mDDhg1otVopX3BwMHPnzuX/27vvqCiutw/g34WlLSCLiCIgEkEFFAuxYEGwYEEJaiRqomCLiUqU/OwGBQGjsUSMiYmJLUYsMUaNxhpRo0YssRdUsAFKFeltd+/7By+THXZRENwCz+cczoGZO3efmb17mbtzy0cffQSA7iPkva06QlVq1JhduHAhoqOjsXbtWt5sxuX++ecflJSUICEhAatXr0bv3r1x4sSJKs1oXNlTnqo+/ZFIJKg4HJgxxg3+lkgUl9WRSCTc/opkMhm3r+KsfQCqnG/FmOTzlUqlWLhwIYYMGYLvvvsOp06dQl5eHpo1a4YPPvgAwcHB0NP7bwyvVCqtcr7K4q3sXOXzrXiu8tdQWb7l56rsfapqvpry3ig71x49euD27dv4/vvvsXnzZmRkZKBBgwbw9/dHUFAQN1HXq96b113D8vdG2b5X5St/rtV9zyu7hm5ubti4cSMmTpwIqVSK7OxsnD59mtsvFAqxcuVK2NvbK837dedaUlICmUzGu6moyrlW9Roqu0ZVzVdTymFVPsuMMV7dUO5t1hGVedt1hJeXF2xtbZGUlIRr167hnXfeQY8ePfDkyRPuphEoa+iW3xCpso6omK9EIlE6Tqiu1BEV81V2vHxMFamrjijfT3UE3UeU56XJdUTF8k91xH8q1hFisRibNm3CV199hd9++w2pqalo2rQpPvzwQ5iamlY5X7qPAJf+TfNVlTduzC5evBiRkZFYsmQJgoKClKZxc3MDALi7u+O9996Do6MjFixYgP3791eab/k3OcqewJZP6lMVQqFQoSIUCATcG6Vs7K5QKFT6RgJlfezL9ymrdKqab8WY5PMt/yB27NgRGzZsAMD/tqRibLq6utXKV1m8ys5XPt+K5yp/DZXlW36uyv4JVTVfTXlvKjtXa2trREREYNSoUZV+o/qq96Zivg4ODrw1evX09LjuRBW9Kl/5c63sPX+Tazh27FgYGBhg27ZtOHHiBIqKiiASieDv74/PP/8cZmZm3DeqFb2uvOjr60Mqlb62HFb1vZE/V5lMpvQ9l8+3pKQEycnJMDExgZmZmUaWw6p8lhljrz3X2q4jyl9PfiK08td5m3WEnp4eNmzYgHHjxiElJQWlpaU4deoUL+2YMWMwe/ZspeeqijpCPl/5NJWd65vkq0l1hHy+rzvXilRdR5TXt4mJiZBIJNX+3FAdoRgv3Ue8/TrCxsYG+vr6XGxUR/ynsjrC0tISvr6+XHui4rG1dR9BdUTl+apKtWYzLrd48WKEhYUhLCwMoaGhVT7O09MTaWlpXBcGZZKTk2Fra4tly5YpLMbt5OQEOzs7HDt2jLdd1bNmEVJfyWQyFBYWwsjISKs/X3FxcVi+fDl27tzJjXfu3r07goODMWLEiHo7/vfp06dYv349jh49ivz8fNjb2yMwMBDDhw/ndfvSBCkpKVi9ejU2bdrELcPQrVs3TJ8+HSNHjqy37yEhhBCiTqpul1W7MRsREYFFixYhJCQEERERVT4uIyMDrVq1Qo8ePXDgwIFXpu3atSsKCgpw7do1rqUfGxuLbt264fvvv1eYhUyVF+3Bgwe4cOECJBIJXF1d4ebmRjdNhGiRmJgYvPfee8jPz1e6PygoCN988029+1xHR0djwoQJvDFG5Tp27IhDhw4pjPfSBDKZjFuKoXwdZEIIIYSoh0Y3ZletWoVZs2Zh4MCBSp/Iuru7Izs7G97e3vjwww/RsmVLGBkZ4f79+1izZg2ePn2K06dPo1OnTtwxQqEQnp6eOHHiBLft1KlT8Pb2hq+vL6ZOnYq0tDTMmzcPZmZmuHz5ssISIKq4aPfv30dQUBCOHz/O2+7m5oaoqCh4eHhUKZ+ioiL8+uuv2L17NzIyMmBpaYmRI0dixIgRtLQJIW9Zeno6WrZsyXWLNjMzg4eHB+Lj47kJGwBgw4YNmDhxorrCVLkTJ06gf//+vDE6RkZG3FNroKyui42NrbR7FCGEEEKIynvMsmrw9PRkACr9YYyxoqIiNmnSJObs7MxMTEyYUChktra2bMyYMez27dsKeQJgnp6eCtuPHTvG3N3dmaGhIWvYsCELCAhgqampSuOSSqXs5cuXvB+pVFqdU3ulu3fvMgsLi0rPW09Pjx09evS1+dy8eZM1b95caR4ODg7s7t27tRYz0R6FhYWsoKCAFRYWqjuUOm/p0qXcZ27AgAEsJyeHMcaYTCZjP/74I7fP2dmZyWQyNUerOj179uTOPTAwkD179ozJZDJ2/Phx1qxZM27f7t27uWOo3BJtROWWaCMqt0SbvO12WUVvNGZW07ztbwB69uzJrW9rZ2eHSZMmQSQS4ZdffuGma2/SpAmePHlS6dPVlJQUdOzYESkpKZW+jo2NDa5du6YwJTyp265fv84tb1BxmnZSu7p06YJLly4BAOLj4xWWB5D/rN+5c4ebnboue/jwIXcdnJ2dcevWLV7defToUQwcOBAAMHjwYBw8eBAAlVuinajcEm1E5ZZoE1U/ma3xOrN13fXr17mbWwcHB1y5coVbT2rGjBkYNGgQ/vrrL6SmpuK3337j1q+qKCoqimvIduzYEWvXroW7uzvOnTuHzz77DDdu3EBycjK+/fZbhIWFqeTcCKlvytdKMzMzU2jIAsC7777Lfd7L09Z15WvPAYCPj4/CPxtvb2/o6+ujpKSEW+uPEEJI1RUVFXFrxr4JPT09bpWOxMTEWoyMkDdjYGAACwsLtc5iXI4as6/x999/c78HBQXxFkYWCoWYM2cO/vrrLwDAmTNnlDZmGWPYvHkzgLIK6cCBA9xyFr169cL+/fvh6OgIqVSKjRs3UmO2nmnYsGGlU+iT2mVlZYWEhARkZ2fj+vXrvG+4GWO8NXQ1cbKjt8HY2Jj7/eHDhwr7k5OTuUmhTExMuO1Ubok2onJLVK2oqAhpaWmwsbF543JXUlICxhgEAoHGzSxP6h/GGAoLC5GcnAxLS0u1T76ovWtrqIj8zJ7K1rgtXxcXAIqLi5XmkZubi7S0NABlS0dUXJfR3t4e7777LgAgKSlJ6WyipO5q1qwZ7O3t0axZM3WHUueNHj2a+33ixIl49OgRgLKbjZCQEG7YQJcuXZQ+ua2LOnTogCZNmgAA9u/fz/sCTyqV8pZIGzRoEPc7lVuijajcElVLT0+vUUMWKFtL1cDAgBqyRCMIBAKIRCI0bdpUI3qxUWP2NZycnLjft2/fjopDjKOjo7nfKxtfJz+ONjk5WSEPmUyGZ8+eAShbdFjZosWEkJoLCAiAra0tAODff/+Fo6MjXF1dYWVlhS+//JJLN3/+fHWFqHL6+vqYOnUqgLK6yMvLC76+vpgxYwacnJywY8cOAIChoSE+/vhjdYZKCCFaiXoCkLpIT0+PtwqCulBj9jUGDBjAPUk9evQoxo8fjxs3biAhIQEhISGIiooCUNblOCAgQGkeBgYG6NWrFwAgISEBW7du5e3fsGEDkpKSAAB9+vR5e1NXE1LPmZqa8tZLlclkuHXrFrdUDwCsWLECQ4cOVVeIajFv3jwMGDAAQFn3oYMHD+Kbb75BfHw8gLIbsa1bt8La2lqdYRJCCCGE8NBsxlWwc+dOXvdEZUJCQhAREVHp/j179mDEiBHc30OGDEHXrl3xzz//4PDhw9z2AwcOYMiQITUPmhBSqfT0dPzwww/4+eef8fTpU5iYmGDQoEGYMWMGunTpou7w1KKkpATLly/HunXr8Pz5c257nz59EBoayn0hRwghpOoSExOpWzups5SVb1XPZkyN2SrauHEjgoKCUFRUxNsuEAgwd+5cLFmy5JWvxxjD5MmTsWHDhkrTTJs2DWvXroVAIKi1uInmu3//PiQSCYRCIVq1aqXucEg9V1paips3byI/Px/NmzeHnZ2d0nRUbok2onJLVK02GrNFRUXcBFCGhoa1FBkhNacJjVnqz1pFEydORFJSElauXIn3338ffn5+WLhwIR4+fIilS5e+9g0SCARYv349Vq9ezY3ZK2dnZ4e1a9dSQ7aeKiwsREFBAQoLC9UdCiHQ09ODm5sbPDw8Km3IAlRuiXaicku0kUwm4340yZYtWyAQCJT+zJo1CwBga2uLSZMmccfEx8dDIBBg27Zt3LazZ88iLCwMOTk5Kj8Hov1opqFqsLCwwMyZM9/4eB0dHQQHByMoKAixsbHIzMyEpaUlunbtSpMD1GPylT8h2oLKLdFGVG4JqX2bN2/mTZgKgJtj4cCBAzAzM3vl8WfPnsXixYsxadIk3hKYhFQFNWbVQCgUomfPnuoOg2iIdu3aqTsEQqqNyi3RRlRuiTYSiUTqDuGV2rZti06dOind17FjRxVH85+CggKNv3ak5qibMSGEEEIIIaTWVexmXFFISAi3HF6zZs24nhNnz57l0uzYsQPu7u4QiUQwNTXFwIEDuXXhy40ZMwZisRjXr1+Ht7c3TE1N0b9//7dzUkSj0JNZQgghhBBCVKygRKLuECDSr3lTQCqVQiLhn4tQWLV8P/30U2RlZWHdunX4448/YGlpCQBo06YNACA8PBxhYWGYNGkSFi5ciOLiYixfvhw9e/bE5cuX0bp1ay6voqIi+Pn5YcqUKZg/fz6kUmmNz41oPmrMEkIIIYQQomIui46qOwQ8Xja4xnm4u7srbCstLa1Sg9bW1pabDbdjx468SVIfP36M8PBwBAcH4+uvv+a2e3t7w9HREeHh4YiOjua2FxcXIyIiAmPHjq3J6RAtQ41ZQtQsPT0dUqkUurq63DeShGg6KrdEG1G5JaT2bd26Fc7OzrxtVX0y+ypHjhyBVCpFQEAA78mvkZERPDw8cOrUKYVjhg8fXuPXJdqFGrOEqNmzZ89QWloKPT09urkiWoPKLdFGVG6JJrkTPqBK6QoKCrl1ZkUio7ccVfU5OztXOgFUTaSmpgKofBIpfX193t8NGjSAsbFxrcdBNBs1ZkmlGGM4c+YM1q9fj3///RcCgQCdOnXCp59+ih49eqg7PFJPZWRkYPPmzThy5Ajy8/Nhb2+PcePGoX///m9tQW5CCCGktlV5vKpE97/rVaeBAAAgAElEQVTGbC2McdUWjRo1AgDs27cPNjY2CvsrLrFFS27VT/XnE0GqRSKRYOLEidi6dStve1xcHLZt24ZJkybhhx9+oPVxa0Hz5s0hk8moIVYFf/zxBz766CPk5eVx2y5cuIBdu3bBw8MD+/btQ8OGDdUYYf1B5ZZoIyq3RBtVfAJZ1xgYGAAACgsLedsHDhwIXV1dJCQkwM/PTx2hES1AjVmi1Jw5c3gNWQMDAzDGUFJSAgDYsGEDGjVqhKVLl6orxDpDLBarOwStcO7cObz//vsKMyaWO3PmDN577z2cPn2avmRRASq3RBtRuSXaqDbGn2oyV1dXAEBUVBTGjBkDPT09ODk5wcHBAaGhoZg3bx7i4+MxYMAAiMVipKSk4OLFizAzM8OiRYvUHD1RN/pqkihISUnBt99+CwDQ09PD+vXrkZ2djezsbHz33XdcQyEqKgqZmZnqDJXUI4sWLeIassOGDUNcXByKi4uxe/duNG7cGEBZg/fPP/9UZ5iEEEIIqYa+fftizpw52Lt3L3r27InOnTvj2rVrAICFCxdi165duHPnDgICAjBgwADMmzcPiYmJ8PDwUHPkRBMIGGNM3UHUlEwmQ25uLm+bqakpdSN6Q1FRUfj8888BALNnz8by5ct5+6dPn461a9cCANatW4cpU6aoPEZSvzx58gT29vYAAAcHB8TFxfG+qf7jjz+4Lkh+fn7Yt2+fOsIkhBBCeBITE7mlZwipa5SVb1W3y6i1RxQ8ffqU+33wYMX1x4YMGaI0LXkzEokEpaWllXafJcDDhw+539977z2FLleDBw/mxhQlJCSoNLb6isot0UZUbok2YoxBJpOhDjx/IqTW1e1O+OSNmJiYcL/Hx8fD09OTt//BgwdK05I3c/v2bW6piPbt26s7HI0kEom435OSkhT2p6WlceO5jYw0b9mCuojKraLc3Fykp6dDLBbTRGQaisot0UaFhfJL84hefwAh9Qg9mSUKBg0axP2+dOlSpKWlcX8/f/4cK1as4P728fFRaWzaJjs7G8+ePeMaWuTNtG/fHhYWFgCAvXv34t9//+X2McZ4E0B4e3urPD5Sv8XGxmLYsGEQi8VwcHCAhYUFPD098ccff6g7NEKIhiotLUVKSgru3buHu3fvIiEhAdnZ2fT0lZBqosYsUeDu7o6uXbsCKOuy6ejoiHHjxiEgIAAtW7bEkydPAAC9evWqdCHr+owxhp07d6Jbt24Qi8WwsbFBw4YNMXnyZMTHxyukb9CgAczMzNCgQQM1RKsdDA0NMXnyZABl3QS7d++OsWPHIjQ0FO+++y42bNgAoGzCsvJ05O2icltm+/bt6NmzJ/bt2weZTMZt//vvv+Hn54fQ0FA1RkcqonJLNMHLly9x8+ZNJCUlITc3F/n5+cjKysKDBw9w7949hW7wurq63A8hhI8mgCJKJSQkoFevXnj27JnS/XZ2dvj777/RvHlzFUem2Rhj+OSTT/DTTz8p3W9qaopDhw6hZ8+eKo5M+xUUFKB///44d+6c0v0CgQAbN27E+PHjVRwZqa/i4uLQrl07lJaWAgCsra3Ro0cP3LhxA/fu3ePS7d+/H++99566wiSEqFHFCXLy8vJw7969Vz6BNTExQevWrSEQCFQRIiFvjCaAIhrLwcEBFy9exMSJE3ljEEUiESZPnowLFy5QQ1aJdevW8Rqyzs7OGDx4MExNTQGUjakbOnQosrKy1BWi1hKJRDh27BhmzpwJMzMz3j43NzccOHCAGrJEpdauXcs1ZMeNG4dHjx7h119/xd27d7Fs2TIu3ddff62uEAkhGiY5OZlryIrFYrRt2xZubm5wcHCAnp4egLIGb3Z2tjrDJERr0JNZ8lo5OTm4e/cuBAIBnJ2duYYZ4ZPJZGjZsiU38+6WLVsQEBAAgUCAly9fYvjw4Th58iQAYPXq1QgODlZnuFotPz8fFy5cQH5+Puzt7dG2bVv6BpuonK2tLZKTk2FoaIiUlBTelyyMMbRu3ZqbMO/FixcwNzdXV6iEEDWRf3JVXFyMmzdvAgAMDAwU/ne9fPmSG44kFovh6Oio+oAJqQZ6Mku0QoMGDdC1a1d06dKFGrKvcOPGDa4h269fPwQGBnL/pMRiMb777jsu7Z49e9QSY11hbGyMPn36wNfXF66urtSQJWpR3sPC3t5eobeAQCDgzZZLT1kIIcXFxdzvYrFY4X+XmZkZt00+LSGkcrQ0DyG15MWLF9zvyibGcnZ2hqGhIYqKinhpHz58CIlEAqFQiBYtWqgkVkJqisot0LRpUyQkJODBgwdISkqCra0tt6+kpARnz54FUDZ5S6NGjdQVJpFD5Zaok/yTKWWrHJSWlnJdkOXTFhcXc0vzGBgYvP1ACdEi9GSWkFrSpEkT7ve///5bYf/FixdRVFQEALCysuK25+bmIicnR6FLBiGajMot8OGHHwIApFIpxowZg8TERABlXQUnT56MlJQUAICfnx+tya0hqNwSdRKJRBAKy54jvXz5Evn5+dw+xhhv0k35GbelUin3Qwjhq1ZjNiYmBhMmTICTkxOMjY1hY2MDPz8/3pqPUqkUX3/9NQYOHAhbW1uIRCI4Oztj3rx5ePnyZZVex8vLCwKBQOFn4MCB1Ts7QlTIxcUFrq6uAIALFy4gPDyc6yaUkJDAWzKm/Ca4vpFIJDhw4ACWLVuGlStX4vz587SmHtFaU6dO5cbBnj59Gvb29nBycoKVlRV+/vlnAIBQKMTcuXPVGSYhREPo6OhwvTQYY4iLi8PDhw+RnJyMu3fvIiMjA0DZMAVt6M2xZcsW7h791KlTCvsZY3B0dIRAIICXl5fK4yP/efbsGcLCwnDt2jV1h1LrqjUBlL+/PzIzM+Hv7w8XFxekp6dj1apVuHz5Mo4ePYo+ffogLy8P1tbWGD16NLy9vdGoUSNcuXIFkZGRaNq0KS5fvsybHVcZLy8vJCYmIjo6mrddLBbDyclJIT1NAEU0xc6dOzF69Gjub3Nzc9jY2OD27dtco6158+a4c+cORCIRAPC+aa3La8j9+uuv+N///ofk5GTe9o4dO2Ljxo20ZrGWqS/l9nXOnz+PIUOG8IYOlNPT08PWrVsxatQoNURGlKFyS1St4gQ5MpkM9+/fR15eXqXH2Nvb8xqz8rfqmjRHxJYtWzB+/HiYmprCz88Pv/zyC2//qVOn0Lt3b5iamsLNzU1pg5eoxuXLl9G5c2ds3rwZ48aNq7V8NWECqGqNmf3uu+/QuHFj3raBAwfC0dERX375Jfr06QMjIyM8evQIFhYWXBovLy/Y2dnB398fe/bswZgxY177WkZGRnB3d69OeISo3ahRoxAfH4+FCxcCKJsgRn4ZHhsbGxw6dIhryAL144Zq69atCAwMVLrv6tWr6NWrF86cOYMOHTqoODLypupDua2Kbt264fbt2/jhhx8QHR2NlJQUiMViDBs2DEFBQWjVqpW6QyRyqNwSddPR0UHLli3x7NkzZGRk8L5gEYlEsLGxUTqhXLns7Gxs3boVBw8eRE5ODmxsbDB27FgMHjyY68KsaiNHjkR0dDS+++47XvfojRs3olu3bsjJyVFLXLWlsLAQhoaGGvVFAvlPtZrIFRuyQNnCzi4uLtxYIV1dXV5DtlyXLl0AgEtHSF0VEhKCs2fP4oMPPoCZmRmEQiEcHR0RGRmJ69evw8XFRd0hqlR2djamTZvG/T1gwABER0fj+++/R5s2bQCUrak3ZcoUdYVISI1YWVkhLCwMDx48QG5uLhITE/HNN99QQ5YQopSuri6aNWuGdu3aoVWrVnB0dESbNm3g4uKi0JCVd+rUKbRo0QLTp0/HsWPHEBsbiz179mDo0KFwd3fH8+fPVXgW/ynvkbZjxw5uW3Z2Nvbs2YMJEyYopC8pKUFkZCScnJxgYGAAS0tLjB8/Hunp6bx0u3btQv/+/dG0aVMYGRlxwxblxxoDZRO7jRo1CtbW1jAwMECTJk3Qt29fXpdagUCAsLAwhVjs7e15TyrLu04fO3YMEyZMgKWlJUQiETds7MGDB/jwww/RuHFjGBgYwNnZmbdaBVD2PgkEAmzfvh1z585F06ZNYWJiAl9fX6SmpiI3NxeTJ09Go0aN0KhRI4wfP17hST1jDOvWrUOHDh1gZGQEc3NzjBgxgls1o5yXlxfatm2LS5cuwcPDAyKRCC1atMCyZcsgk8m4eDp37gwAGD9+PNc1vPx6VOX6abIaf4WTnZ2NK1euoE+fPq9MFxMTAwDczevrJCQkoGHDhsjJyUHz5s0xatQohISEvLaLMiGaoEePHujRo4e6w9AI0dHRXCU9evRoREdHc99uBgYGomPHjrh37x5iY2Nx7do1ejpLCCGkXtDV1eU9yXyVW7duYfDgwSgoKFC6/99//8XAgQNx4cIFGBoa1maYr9WgQQOMGDECmzZtwieffAKgrGGro6ODkSNHIioqiksrk8ng5+eHM2fOYM6cOejevTuePHmC0NBQeHl58YYjPnjwAD4+PggODoaxsTHi4uLw1Vdf4eLFi1y7AgB8fHwglUqxfPly2NnZISMjA//880+V5+pRZsKECRg8eDB++eUX5OfnQ09PD3fu3EH37t1hZ2eHVatWwcrKCkePHsX06dORkZGB0NBQXh4LFixA7969sWXLFjx+/BizZs3C6NGjIRQK0b59e+zYsQNXr17FggULYGpqim+++YY79pNPPsGWLVswffp0fPXVV3jx4gXCw8PRvXt3XL9+nTfpaEpKCj766CPMnDkToaGh2Lt3L+bPnw9ra2sEBATAzc0Nmzdvxvjx4xESEoLBgwcDADcD/9u4fqpU48bstGnTkJ+fjy+++KLSNMnJyZg3bx46deqEIUOGvDbPnj17YuTIkXByckJhYSEOHz6M5cuX4+zZszh58mSV+lzfvn0bzZs351USxcXFiIuLA1A2ltHOzo53zIMHD7hKQn59QADIyMjgxvrZ2dlxk34AZWNwbt26BaCsT3jF6f4fPXrEdbFo06YNrxvIy5cv8eTJEwCAtbU1LC0tecfeuHEDjDEYGRkpfMufmJjIjdNq3bo1r/LKy8tDQkICgLIn6k2bNuUde+fOHZSWlkJPT0/hSeHz58+RlpYGAHBwcODNwllUVIR79+4BABo2bKjQT/7+/fsoLCyEQCBAu3btePvS09O5mfqaN28OsVjM7ZNIJLh9+zaAskrxnXfe4R378OFDrv9927ZteV3FsrKy8PTpUwBl3XgrTppw/fp1AGXdd1q2bMnb9/TpU64bcPk3hOVycnLw6NEjAGUzFcvPQAyUlTGJRAIDAwOFsdzPnj3jvmF0dHSEsbExt6+goAAPHjwAAFhYWMDY2BgymQw6OjowNzfHvXv3UFRUBF1dXbRt25aXb1paGvfNa8W1LUtKSnD37l0AZWvV2dvb845NSEjgGpWurq68z1FmZiaSkpIAlFVu8r0rZDIZt8i7iYkJHBwcePk+fvyYW0PT2dkZ+vr63L7s7GwcOnSI+3vGjBm8bjoJCQkYMmQIV6ZiY2O5xmxSUhIyMzMBAC1btuR1zc7Pz+cWlre0tIS1tTUvpri4OBQXF0MoFCp8gZaSkoLU1FQAwDvvvEN1BN6sjiifqdfKyop3LNUR/6mtOkJ+yR8Ada6OePz4MYCypY4q9gC7desWpFIpDA0N0bp1a96+N6kjsrKyIJPJ8Pz5c0ilUqoj6D4CwNutI3Jzc1FQUAA9PT3o6enxji0sLOSW3Kn4sKakpAQSiQRA2fj78PBwrmz169cPkZGRcHZ2RkxMDIKDg/HkyRPcuHEDO3bswOjRoyGTyZTmW1paitLSUgCAvr4+ryzJZDJu1QVdXV2FZYCKioq4p30V8w0MDES/fv1w+fJldOjQAZs2bYK/vz9MTU25vAsKCvDbb7/hyJEj2LNnD4YPHw6g7HPVunVreHh4YNOmTVxvrpCQEEgkEpSUlIAxhi5dusDZ2Rmenp64ceMG2rVrh6SkJNy7dw8rVqzgDWMcPnw4SkpKKm38S6VSbsmj8nOS5+XlhdWrV/Ou4f/+9z+Ympri5MmT3LY+ffqguLgYy5Ytw/Tp02FmZsZdw7Zt22Lz5s1cnnFxcYiKisKUKVOwePFiiEQieHt74/z584iOjsaqVatQWlqKixcv4qeffsKqVavwv//9D0DZk9pOnTqhffv2WLFiBVauXMnlm5mZiX379sHNzQ0A0LdvX5w6dQrbt29HQEAARCIRHB0dAZT9X5AfxpmZmYl79+5h+fLlGDFiBFcHlL838uXQ0NCQ939BKpUiNzcX169fV1pHqEqNGrMLFy5EdHQ01q5di3fffVdpmhcvXsDHxweMMezatatKDdHIyEje3z4+PrC3t8esWbOwf/9+DBs27LV5SCQShVlSGWPcB7j8jal4TPn+imQyGbdPWaGvar4VY5LPV9mU6+VrjlWsAMvT1yTfys5VPt+K5yp/DZXlW36uysYVVDVfTXlvXneupaWlkEgkSsv0q96bivk+ffqUuyEwNzfn3htlr/mqfOXPtbrveVWvobLj5WOqiDHGu+4Vvy0uKSnh3VDIv3Z1rqGyeOXX66ssXqoj3ryOKD8mJSWF9w+M6gh+vrVRRyjLty7VEa+KqaSkBDKZTOlY1ze5huX1rXy6N81XU8qhptYRdB9R9rf8T0WVbZffD5Q14vfu3Qug7MuZ33//natXBg0aBEtLS/Ts2RMAsGnTJowaNarGr1ndYz08PNCiRQts3boVOjo6uHTpElatWqVw7OHDhyEWi+Hr68tdz9LSUri6uqJJkyY4ffo015h9+PAhvvjiC8TExCA9PZ332nfv3kW7du0gFovRokULrF69Gjo6Oujduzfat28PHR2dKp+rMn5+frz9RUVFOHHiBKZMmQIjIyPuPdfR0YGPjw++/fZbxMbGYsCAAdxxgwYN4uXp7OwMoGy+Ifm8nZ2dsW/fPuTl5UFfXx+HDh2CQCDAmDFjuGvEGEPjxo3h6uqK06dP8/K1srJCp06duM8TYwzt2rXjdROu7FwbNmyIFi1aICoqCjKZDP379+euX/lxr7uGlf0/UpU3nlZq8eLFiIyMxJIlSxAUFKQ0TVZWFry9vZGcnIzjx4/XaIHy8m9bYmNjq5ReKBQqVIQCgYD7ZkzZIHmhUKj0mzOgrLCW71N2Y1LVfCvGJJ+vsn/Wr8pXV1e3xvkqO1f5fCueq/w1VJbvq65hVfPVlPfmdeda1Wv4pvnKP72oSr7yx1Y33qpew9eda0UCgYD3RGrjxo0Kx/7555/c3/JPMmrjGtbkvdGUcqipdURlqI5QzJfqiFfXEa+KSV9f/61cQ/n9b5qvppRDTa0jqvJZrg91hPxPRa/aJ78/MTGRa9QMGjQIIpGId2z37t25bqcJCQncdmXnUtXXrG68Ojo6GDt2LHbu3ImffvoJrVq1goeHh8KxaWlpePnyJe+zbWpqCrFYjNTUVK63RV5eHjw8PHDx4kWEhobiyJEjOH/+PH7//XcAZU+1gf/uI7y9vbF8+XK4ubnB0tIS06dPR15e3mvPtTJWVla8YzMzMyGRSLB27VoYGxtDLBZDLBbDyMgIPj4+AMBbWgkoayjKK6+zGzZsyHvt8u1FRUUQCARcw71Jkya8+l4sFuPixYvcNSpnYWGhUNYMDAy4a/SqcxUIBPjzzz/Rr18/rF69mnf9cnNzq1ReKvssqwx7A2FhYQwACwsLqzTNixcvmJubGzM3N2dXrlx5k5fhSUlJYQDYvHnzFPZJpVL28uVL3o9UKq3xa76JgoICtnPnThYeHs5WrFhRK+dO6rb09HSWmprK0tPT1R3KW5GSksL09PQYAAaAffLJJ+yff/5hR44cYf379+e2u7i4MJlMpu5wSRXV9XJL6iYqt0TVnj59WuM8bt++zf2v7NOnj8L+nJwcZmBgwACwFi1a1Pj1qmrz5s0MALt06RJjjLGkpCSmo6PDdHR02NKlS7l0bdq0YZ6enowxxkaNGsUsLCzYpUuXlP7ExcUxxhjbv38/A8BOnTrFe83jx48zAGzz5s1KY7p37x6LiIhgurq67JNPPuG2GxgYKG1DmJiYsMDAwErPqVx+fj7T1dVl48aNqzT2jIwMxhhjJ0+eZADY7t27X3m9yoWGhjIAXL00b948JhAI2NmzZ5W+zo0bN7hjPT09WZs2bRTOKzAwkDVv3pz7+9KlS6+8bq+7fpVRVr5V3S6rdjfjiIgIhIWFISQkRGGgc7msrCz069cPDx8+xPHjx2tl/cjyBeg1dbkexhi+//57LFy4UGG9wR49emDTpk00syVRShsWRq+JJk2aIDw8HPPnzwcArF+/HuvXr+elEQqF+Oabb2jaey1S18stqZuo3BJt5OTkBHt7ezx+/BgxMTE4efIkevfuze3/8ssvudl2+/Xrp64wYWNjg9mzZyMuLq7S5fiGDBmCnTt3QiqVomvXrpXmVX4/UHHcbsX7h4patWqFkJAQ7NmzB1euXOG229vb48aNG7y0MTExr1zvV55IJELv3r1x9epVtGvXTmnPmNoyZMgQLFu2DMnJyfjggw9qJc/y6yj/tFaZyq6fJqtWY3bVqlVYtGgRBg4ciMGDByt0+XV3d0dhYSEGDBiAq1evIioqChKJhJfO0tKSNzmEUCiEp6cnTpw4AQA4c+YMlixZgmHDhqFFixYoKirC4cOH8eOPP6JPnz7w9fWtyfm+NcuWLcOCBQuU7jt37hx69uyJ2NjYGnW1JkRbzZ07F7q6uli0aBE3MUK5Jk2aYPPmzejbt6+aoiOEEEI0l46ODoKCgjBr1iwAgLe3N0aMGAEXFxccPXoU//zzD4CyBqD8UnjqsGzZslfuHzVqFKKjo+Hj44MZM2agS5cu0NPTQ1JSEk6ePAk/Pz8MGzYM3bt3h7m5OT799FOEhoZCT08P0dHR3GRc5W7cuIGgoCD4+/ujZcuW0NfXR0xMDG7cuIF58+Zx6caOHYuFCxdi0aJF8PT0xJ07d/Dtt9++cimkitasWYOePXvCw8MDU6ZMgb29PXJzcxEfH48DBw7wZliuiR49emDy5MkYP348Ll++jF69esHY2BjPnz/H2bNn4erqWu3lDB0cHGBkZITo6Gg4OzvDxMQE1tbWyMjIqNL102TVasweOHAAAHDkyBEcOXJEYT9jDKmpqbh06RKAsplLKwoMDMSWLVu4v+UnEgHKZjPU1dVFREQEMjIyIBAI0LJlS4SHh2PmzJlVmkBK1R49eoSQkBDu75EjR2LEiBF4/vw51qxZg4SEBKSnp2PmzJncAH5C6hOBQIDZs2dj4sSJ2LZtG27fvg2hUIgePXrg/fffV/jmlRBCCCH/mT59Ok6cOIHDhw9DKpVi165dCmlWrFihMAO0ptHV1cUff/yBNWvW4JdffsHSpUshFApha2sLT09PuLq6AigbB/rnn39i5syZGDNmDIyNjeHn54ddu3Zxs/YCZWNbHRwcsG7dOiQmJkIgEKBFixZYtWoVPvvsMy7d7NmzkZOTgy1btmDlypXo0qULfv31V/j5+VU5dhcXF1y5cgUREREICQlBWloaxGIxWrZsyY2brS3r16+Hu7s71q9fj3Xr1kEmk8Ha2ho9evRAly5dqp2fSCTCpk2bsHjxYvTv3x+lpaUIDQ3F1KlTq3T9NJmAsVdMUaUlZDIZN916OVNTU5U1fBcsWIClS5cCAGbNmoUVK1Zw+7KysuDs7IzU1FTo6Ojg6dOnsLGxUUlchBBCCCFEfRITExWWH3pTJSUliIyMxLp163iTALm4uGDRokUYOXJkrbwOIVWlrHyrul1W43VmCXDx4kXu9+DgYN4+c3NzBAQEYMWKFZDJZLh8+TI1ZgnP9evXuaV5Kq5LSIimonJLtBGVW6KNCgoKuPVow8PDsWDBAsTGxiInJwc2NjZwc3OjOSdIvUWN2VogvyaZsgHh8tuUrV9GCCGEEEJIVRgaGsLLy0vdYRCiETRvAKoWkv9296effuLtKywsxLZt25SmJQQoG8dgbGwMkUik7lAIqTIqt0QbUbkl2khHR4f7IYTw0ZjZWnDnzh20adMGQNnA9hkzZsDf3x/Pnz/HsmXLuG7I/fr1w/Hjx1USEyGEEEIIUa/aHDNLiKbRhDGz1JitJZ9//jmioqIq3W9iYoJz585p/CxzhBBCCCGkdlBjltRlmtCYpf4KtWTVqlWYP38+9PT0FPa98847OH78ODVkCSGEEEIIIaSW0JPZWpaamopt27YhPj4ehoaG6NOnD3x8fKCrq6vyWAghhBBCiPokJibC1taWZhsmdQ5jDElJSWp/MkuNWULU7OnTp5BIJBAKhbCzs1N3OIRUCZVboo2o3BJVS0tLg4mJSY0mHSsuLuZ+NzAwqI2wCKmx3NxclJSUwMLCgreduhkTUs9kZWXhxYsXyMrKUncohFQZlVuijajcElWzsLBARkYGSktL3zgPqVQKiUQCqVRai5ER8mYYY8jNzUVWVhbEYrG6w6F1ZgkhhBBCCHkbdHV1YWlpibS0NMhksjfKIzc3F4wxCAQCmJqa1nKEhFSfSCSCjY2NRgyjpG7GhKhZcXEx90+Kug8RbUHllmgjKrdEG1G5JdpE1e0yejJLiJrRPyaijajcEm1E5ZZoIyq3hFSOHl0SQgghhBBCCNE61JglhBBCCCGEEKJ16kQ3Y2XDft90kD0hqiY/roAmdiDagsot0UZUbok2onJLtImyNtjbnKKpTkwAJZFIkJ+fr+4wCCGEEEIIIYTIMTY2hlD4dp6hUjdjQgghhBBCCCFahxqzhBBCCCGEEEK0DjVmCSGEEEIIIYRonToxZlYmkykMNhYIBBAIBGqKiBBCCCGEEELqF8aYwoRPOjo60NF5O89Q60RjlhBCCCGEEEJI/ULdjAkhhBBCCCGEaJ060ZjNy8tDcHAwrK2tYWhoiA4dOmDnzp3qDosQAEBMTPZIrc8AAAnLSURBVAwmTJgAJycnGBsbw8bGBn5+fvj3338V0l65cgX9+vWDiYkJxGIxhg8fjocPH6ohakL4NmzYAIFAABMTE4V9VG6Jpjl79ix8fHxgbm4OIyMjtGzZEhEREbw0f/31F7p16waRSIRGjRph3LhxSEtLU1PEpD67evUqhg4dCmtra4hEIjg5OSE8PBwFBQW8dFTXEnXJzc3FnDlz0L9/f1haWkIgECAsLExp2uqU07Vr18LJyQkGBgZ45513sHjxYpSWllYrtjrRmB0+fDh+/vlnhIaG4vDhw+jcuTNGjx6N7du3qzs0QvD999/j8ePHmDFjBg4dOoQ1a9YgLS0N7u7uiImJ4dLFxcXBy8sLJSUl+PXXX7Fp0ybcv38fHh4eSE9PV+MZkPouOTkZs2bNgrW1tcI+KrdE02zfvh2enp4wMzPD1q1bcejQIcydO5c3huv06dMYNGgQmjRpgv3792PNmjX466+/0LdvXxQXF6sxelLf3LlzB927d8fjx48RFRWFgwcPYtSoUQgPD8fo0aO5dFTXEnXKzMzEjz/+iOLiYgwdOrTSdNUpp0uWLMGMGTMwfPhwHD16FFOnTsWXX36JadOmVS84puX+/PNPBoBt376dt93b25tZW1sziUSipsgIKZOamqqwLTc3lzVp0oT17duX2+bv788aNWrEsrOzuW2PHz9menp6bM6cOSqJlRBlhgwZwnx9fVlgYCAzNjbm7aNySzRJUlISMzY2ZlOmTHllus6dOzMXFxdWWlrKbTt37hwDwNatW/e2wySE88UXXzAALD4+nrd98uTJDAB78eIFY4zqWqJeMpmMyWQyxhhj6enpDAALDQ1VSFfVcpqRkcEMDQ3Z5MmTeccvWbKECQQCdvv27SrHpvVPZvfu3QsTExP4+/vzto8fPx7Pnj3DhQsX1BQZIWUaN26ssM3ExAQuLi5ITEwEAEgkEhw8eBDvv/8+GjRowKVr3rw5evfujb1796osXkLkbdu2DadPn8a6desU9lG5JZpmw4YNyM/Px9y5cytNk5ycjEuXLmHs2LEQCoXc9u7du6NVq1ZUbolK6enpAQDMzMx428ViMXR0dKCvr091LVG7qqwSU51yeuTIERQVFWH8+PG8PMaPHw/GGPbt21fl2LS+MXvr1i04Ozvz/iEBQLt27bj9hGia7OxsXLlyBW3atAEAJCQkoLCwkCu38tq1a4f4+HgUFRWpOkxSz6WlpSE4OBjLli2Dra2twn4qt0TT/P3332jYsCHi4uLQoUMHCIVCNG7cGJ9++ilycnIA/HdfUFm5pfsGokqBgYEQi8WYMmUKHj58iNzcXBw8eBDr16/HtGnTYGxsTHUt0QrVKafl9ayrqysvXdOmTdGoUaNq1cNa35jNzMxEw4YNFbaXb8vMzFR1SIS81rRp05Cfn48vvvgCwH/ltLKyzBhDVlaWSmMkZOrUqWjdujWmTJmidD+VW6JpkpOTUVBQAH9/f4wcORJ//fUXZs+eja1bt8LHxweMsdeWW7pvIKpkb2+P8+fP49atW3BwcECDBg3g6+uLwMBArFmzBgDVtUQ7VKecZmZmwsDAAMbGxkrTVqceFr4+ieZ71WPv1z0SJ0TVFi5ciOjoaKxduxbvvvsubx+VZaIp9uzZgwMHDuDq1auvLXtUbommkMlkKCoqQmhoKObNmwcA8PLygr6+PoKDg3HixAkubWVlk8osUaXHjx/D19cXTZo0wW+//QZLS0tcuHABkZGRyMvLw8aNG7m0VNcSbVDVclpb5VnrG7MWFhZKW+8vXrwAoPzbAULUZfHixYiMjMSSJUsQFBTEbbewsACgvCfBixcvIBAIIBaLVRYnqd/y8vIwbdo0fPbZZ7C2tsbLly8BACUlJQCAly9fQk9Pj8ot0TgWFhZ48OABBgwYwNs+aNAgBAcH48qVK2jfvj2Aysst3TcQVZo3bx5ycnJw7do17ilVr1690KhRI0yYMAEBAQGwsrICQHUt0WzVuSewsLBAUVERCgoKIBKJFNJWfNjzKlrfzdjV1RV3796FRCLhbb958yYAoG3btuoIixAFixcvRlhYGMLCwrBgwQLePgcHBxgZGXHlVt7Nmzfh6OgIQ0NDVYVK6rmMjAykpqZi1apVMDc353527NiB/Px8mJub46OPPqJySzSOsrFaALhleXR0dLj7gsrKLd03EFW6du0aXFxcFLpbdu7cGQC47sdU1xJNV51yWj5WtmLalJQUZGRkVKse1vrG7LBhw5CXl4c9e/bwtv/888+wtrZG165d1RQZIf+JiIhAWFgYQkJCEBoaqrBfKBTC19cXv//+O3Jzc7ntT58+xcmTJzF8+HBVhkvqOSsrK5w8eVLhZ8CAATA0NMTJkycRGRlJ5ZZonPfffx8AcPjwYd72Q4cOAQDc3d1hY2ODLl26YNu2bZBKpVya2NhY3Lt3j8otUSlra2vcvn0beXl5vO3nz58HANja2lJdS7RCdcrpwIEDYWhoiC1btvDy2LJlCwQCwSvXslVQ5UV8NJi3tzczNzdnP/74I4uJiWEff/wxA8C2bdum7tAIYStXrmQA2MCBA9n58+cVfsrdvXuXmZiYsF69erFDhw6x33//nbVt25ZZW1uztLQ0NZ4BIWWUrTNL5ZZoGl9fX2ZgYMAiIiLY8ePH2dKlS5mhoSEbMmQIl+bkyZNMKBSyYcOGsePHj7Po6GjWrFkz1rZtW1ZUVKTG6El9s3//fiYQCJi7uzvbtWsXO3HiBFuyZAkzMTFhLi4urLi4mDFGdS1Rv0OHDrHdu3ezTZs2MQDM39+f7d69m+3evZvl5+czxqpXTiMjI5lAIGALFixgp06dYitWrGAGBgbs448/rlZcdaIxm5uby6ZPn86srKyYvr4+a9euHduxY4e6wyKEMcaYp6cnA1Dpj7zLly+zvn37MpFIxBo0aMCGDh2qsJA6IeqirDHLGJVbolkKCgrY3LlzWbNmzZhQKGR2dnZs/vz5Co3UY8eOMXd3d2ZoaMgaNmzIAgICWGpqqpqiJvVZTEwM69+/P7OysmJGRkasVatWbObMmSwjI4OXjupaok7Nmzev9F720aNHXLrqlNM1a9awVq1aMX19fWZnZ8dCQ0NZSUlJteISMPb/A0kIIYQQQgghhBAtofVjZgkhhBBCCCGE1D/UmCWEEEIIIYQQonWoMUsIIYQQQgghROtQY5YQQgghhBBCiNahxiwhhBBCCCGEEK1DjVlCCCGEEEIIIVqHGrOEEEIIIYQQQrQONWYJIYQQQgghhGgdaswSQgghhBBCCNE61JglhBBCCCGEEKJ1qDFLCCGEEEIIIUTrUGOWEEIIIYQQQojW+T8yOD8Hu3XmrwAAAABJRU5ErkJggg==\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "zs = gen_train_data(pos=pos, vel=15., count=100)\n", "data = g_h_filter(data=zs, x0=pos, dx=15., dt=1., g=.01, h=0.0001)\n", "plot_g_h_results(zs/1000., data/1000., 'g=0.01, h=0.0001')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "That is pretty good for an initial guess. Let's make $g$ larger to see the effect." ] }, { "cell_type": "code", "execution_count": 42, "metadata": { "scrolled": false }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "zs = gen_train_data(pos=pos, vel=15., count=100)\n", "data = g_h_filter(data=zs, x0=pos, dx=15., dt=1., g=.2, h=0.0001)\n", "plot_g_h_results(zs/1000., data/1000., 'g=0.2, h=0.0001')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We made `g=0.2` and we can see that while the train's position is smoothed, the estimated position (and hence velocity) fluctuates a lot in a very tiny frame, far more than a real train can do. So empirically we know that we want `g<<0.2`.\n", "\n", "Now let's see the effect of a poor choice for $h$." ] }, { "cell_type": "code", "execution_count": 43, "metadata": { "scrolled": false }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "zs = gen_train_data(pos=pos, vel=15., count=100)\n", "data = g_h_filter(data=zs, x0=pos, dx=15., dt=1., g=0.01, h=0.1)\n", "plot_g_h_results(zs/1000., data/1000., 'g=0.01, h=0.1')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here the position changes smoothly thanks to the small $g$, but the large $h$ makes the filter very reactive to the measurements. This happens because in the course of a few seconds the rapidly changing measurement implies a very large velocity change, and a large $h$ tells the filter to react to those changes quickly. Trains cannot change velocity quickly, so the filter is not doing a good job of filtering the data - the filter is changing velocity faster than a train can.\n", "\n", "Finally, let's add some acceleration to the train. I don't know how fast a train can actually accelerate, but let's say it is accelerating at 0.2 m/sec^2. " ] }, { "cell_type": "code", "execution_count": 44, "metadata": { "scrolled": false }, "outputs": [], "source": [ "def gen_train_data_with_acc(pos, vel, count):\n", " zs = []\n", " for t in range(count):\n", " pos = compute_new_position(pos, vel)\n", " vel += 0.2\n", " zs.append(measure_position(pos))\n", " return np.asarray(zs) " ] }, { "cell_type": "code", "execution_count": 45, "metadata": { "scrolled": false }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "zs = gen_train_data_with_acc(pos=pos, vel=15., count=100)\n", "data = g_h_filter(data=zs, x0=pos, dx=15., dt=1., g=.01, h=0.0001)\n", "plot_g_h_results(zs/1000., data/1000., 'g=0.01, h=0.0001')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here we see that the filter is not quite tracking the train anymore due to the acceleration. We can fiddle with $h$ to let it track better, at the expense of a less smooth filtered estimate." ] }, { "cell_type": "code", "execution_count": 46, "metadata": { "scrolled": false }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "zs = gen_train_data_with_acc(pos=pos, vel=15., count=100)\n", "data = g_h_filter(data=zs, x0=pos, dx=15., dt=1., g=.01, h=0.001)\n", "plot_g_h_results(zs/1000., data/1000., 'g=0.01, h=0.001')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "There are two lessons to be learned here. First, use the $h$ term to respond to changes in velocity that you are not modeling. But, far more importantly, there is a trade off here between responding quickly and accurately to changes in behavior and producing ideal output for when the system is in a steady state that you have. If the train never changes velocity we would make $h$ extremely small to avoid having the filtered estimate unduly affected by the noise in the measurement. But in an interesting problem there are almost always changes in state, and we want to react to them quickly. The more quickly we react to them, the more we are affected by the noise in the sensors. \n", "\n", "I could go on, but my aim is not to develop g-h filter theory here so much as to build insight into how combining measurements and predictions leads to a filtered solution. There is extensive literature on choosing $g$ and $h$ for problems such as this, and there are optimal ways of choosing them to achieve various goals. As I explained earlier it is easy to 'lie' to the filter when experimenting with test data like this. In the subsequent chapters we will learn how the Kalman filter solves this problem in the same basic manner, but with far more sophisticated mathematics. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## g-h Filters with FilterPy" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "[FilterPy](https://github.com/rlabbe/filterpy) is an open source filtering library that I wrote. It has all of the filters in this book, along with others. It is rather easy to program your own g-h filter, but as we progress we will rely on FilterPy more. As a quick introduction, let's look at the g-h filter in FilterPy.\n", "\n", "If you do not have FilterPy installed just issue the following command from the command line.\n", "\n", " pip install filterpy\n", " \n", "Read Appendix A for more information on installing or downloading FilterPy from GitHub.\n", "\n", "To use the g-h filter import it and create an object from the class `GHFilter`. " ] }, { "cell_type": "code", "execution_count": 47, "metadata": { "scrolled": false }, "outputs": [], "source": [ "from filterpy.gh import GHFilter\n", "f = GHFilter(x=0., dx=0., dt=1., g=.8, h=.2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "When you construct the object you specify the initial value and rate of change for the signal (`x` and 'dx'), the time step between updates(`dt`) and the two filter parameter (`g` and `h`). `dx` must have the same units of `x`/`dt` - if `x` is in meters and `dt` is in seconds then `dx` must be in meters per second.\n", "\n", "To run the filter call update, passing the measurement in the parameter `z`, which you'll recall is a standard name for measurements in the literature." ] }, { "cell_type": "code", "execution_count": 48, "metadata": { "scrolled": false }, "outputs": [ { "data": { "text/plain": [ "(0.96, 0.24)" ] }, "execution_count": 48, "metadata": {}, "output_type": "execute_result" } ], "source": [ "f.update(z=1.2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "`update()` returns the new value of `x` and `dx` in a tuple, but you can also access them from the object." ] }, { "cell_type": "code", "execution_count": 49, "metadata": { "scrolled": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "0.96 0.24\n" ] } ], "source": [ "print(f.x, f.dx)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "You can dynamically alter `g` and `h`." ] }, { "cell_type": "code", "execution_count": 50, "metadata": { "scrolled": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(1.965, 0.375)\n" ] } ], "source": [ "print(f.update(z=2.1, g=.85, h=.15))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "You can filter a sequence of measurements in a batch." ] }, { "cell_type": "code", "execution_count": 51, "metadata": { "scrolled": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[1.965 0.375]\n", " [2.868 0.507]\n", " [3.875 0.632]\n", " [4.901 0.731]]\n" ] } ], "source": [ "print(f.batch_filter([3., 4., 5.]))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "You can filter multiple independent variables. If you are tracking an aircraft you'll need to track it in 3D space. Use NumPy arrays for `x`, `dx`, and the measurements." ] }, { "cell_type": "code", "execution_count": 52, "metadata": { "scrolled": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " x = [ 3.8 13.2 101.64]\n", "dx = [8.2 9.8 0.56]\n" ] } ], "source": [ "x_0 = np.array([1., 10., 100.])\n", "dx_0 = np.array([10., 12., .2])\n", " \n", "f_air = GHFilter(x=x_0, dx=dx_0, dt=1., g=.8, h=.2)\n", "f_air.update(z=np.array((2., 11., 102.)))\n", "print(' x =', f_air.x)\n", "print('dx =', f_air.dx)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The class `GHFilterOrder` allows you to create a filter of order 0, 1, or 2. A g-h filter is order 1. The g-h-k filter, which we haven't talked about, also tracks accelerations. Both classes have functionality required by real applications, such as computing the Variance Reduction Factor (VRF), which we haven't discussed in this chapter. I could fill a book just on the theory and applications of g-h filters, but we have other goals in this book. If you are interested, explore the FilterPy code and do some further reading.\n", "\n", "The documentation for FilterPy is at https://filterpy.readthedocs.org/." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Summary" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "I encourage you to experiment with this filter to develop your understanding of how it reacts. It shouldn't take too many attempts to come to the realization that ad-hoc choices for $g$ and $h$ do not perform very well. A particular choice might perform well in one situation, but very poorly in another. Even when you understand the effect of $g$ and $h$ it can be difficult to choose proper values. In fact, it is extremely unlikely that you will choose values for $g$ and $h$ that is optimal for any given problem. Filters are *designed*, not selected *ad hoc*. \n", "\n", "In some ways I do not want to end the chapter here, as there is a significant amount that we can say about selecting $g$ and $h$. But the g-h filter in this form is not the purpose of this book. Designing the Kalman filter requires you to specify a number of parameters - indirectly they do relate to choosing $g$ and $h$, but you will never refer to them directly when designing Kalman filters. Furthermore, $g$ and $h$ will vary at every time step in a very non-obvious manner. \n", "\n", "There is another feature of these filters we have barely touched upon - Bayesian statistics. You will note that the term 'Bayesian' is in the title of this book; this is not a coincidence! For the time being we will leave $g$ and $h$ behind, largely unexplored, and develop a very powerful form of probabilistic reasoning about filtering. Yet suddenly this same g-h filter algorithm will appear, this time with a formal mathematical edifice that allows us to create filters from multiple sensors, to accurately estimate the amount of error in our solution, and to control robots." ] } ], "metadata": { "anaconda-cloud": {}, "celltoolbar": "Raw Cell Format", "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.6.5" }, "widgets": { "application/vnd.jupyter.widget-state+json": { "state": { "0d3f8df8630c404eae3003f0e6becc31": { "model_module": "@jupyter-widgets/base", "model_module_version": "1.0.0", "model_name": "LayoutModel", "state": {} }, "0d493537e40441e4a6a5066d1491fb12": { "model_module": "@jupyter-widgets/base", "model_module_version": "1.0.0", "model_name": 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VKlSQs0leQi71LkmS9Aaxs7Pjzz//5M8//+Sjjz5i3LhxjB49mq+//rpAjv94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\nBxlGRka0a9cOPz8/nqStf/jwIdOmTcu0m6eiKIqiKK/WGz8nA+CHH36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