{ "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": [ "from __future__ import division, print_function\n", "%matplotlib inline" ] }, { "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 \"8\" 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", 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" ] }, "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 165.0148\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 164.9823\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", 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" ] }, "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", 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" ] }, "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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\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 estimate: 160.00, prediction: 161.00, estimate 159.80\n", "previous estimate: 159.80, prediction: 160.80, estimate 162.16\n", "previous estimate: 162.16, prediction: 163.16, estimate 162.02\n", "previous estimate: 162.02, prediction: 163.02, estimate 161.77\n", "previous estimate: 161.77, prediction: 162.77, estimate 162.50\n", "previous estimate: 162.50, prediction: 163.50, estimate 163.94\n", "previous estimate: 163.94, prediction: 164.94, estimate 166.80\n", "previous estimate: 166.80, prediction: 167.80, estimate 167.64\n", "previous estimate: 167.64, prediction: 168.64, estimate 167.75\n", "previous estimate: 167.75, prediction: 168.75, estimate 169.65\n", "previous estimate: 169.65, prediction: 170.65, estimate 170.87\n", "previous estimate: 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(estimated_weight, gain_rate, do_print=False): \n", " # storage for the filtered results\n", " estimates, predictions = [estimated_weight], []\n", "\n", " # most filter literature uses 'z' for measurements\n", " for z in weights: \n", " # predict new position\n", " predicted_weight = estimated_weight + gain_rate * time_step\n", "\n", " # update filter \n", " estimated_weight = predicted_weight + scale_factor * (z - predicted_weight)\n", "\n", " # save and log\n", " estimates.append(estimated_weight)\n", " predictions.append(predicted_weight)\n", " if do_print:\n", " gh.print_results(estimates, predicted_weight, estimated_weight)\n", "\n", " return estimates, predictions\n", "\n", "initial_estimate = 160.\n", "estimates, predictions = predict_using_gain_guess(\n", " estimated_weight=initial_estimate, gain_rate=1, do_print=True) " ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "scrolled": false }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# plot results\n", "book_plots.set_figsize(10)\n", "gh.plot_gh_results(weights, estimates, predictions, [160, 172])" ] }, { "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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "e, p = predict_using_gain_guess(initial_estimate, -1.)\n", "gh.plot_gh_results(weights, e, p, [160, 172])" ] }, { "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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XeJNfXgOAd00lIc4mRo5OYPaQcMb3D8LN5fI//+fn57N69WoMBgPr16+noqKCfv36odPp0Gq1jB8/XpLTJnTbntn77rvPtlIWwFdffcVXX30FWFfYqlsRLTMzkw0bNjBv3jyHiSzApk2bqKqqIj09nescbEi8detWrr322ja/ByGEEEIIIUQbcHODPn2sPbMOFjTCyQmuuMK6bc64cbBrFwwdCsnJAJjMFn5OK6Q4bDCT3L9n5xVDWJecQX5IX/w9XZmeEMqsoeGM79c2Cezx48dtw4d/+OEHLBYLY8aM4cknn0Sn0zFo0CDZYqeddIme2c4kPbNCCCGEEEJ0MevXW3tWm7JuHcyYASNHwt69AOz6KRV9lpH1h3IoqKjFw1iN0dkVXx8PawJ7vgfW1fnyPudbLBZ27dqFXq/HYDCQmpqKh4cHU6dORafTMWfOnEbbKYnmddueWSGEEEIIIYSwmT6d4sRh+B4+gHO9vjezxomyhCH0mj4dk9lCzsjxuOSVsCVyKP/8z8/k+lr3qe3l5cqMhCuYNTSccf0CLzuBraysZNOmTRgMBlauXElubi5BQUEkJSXxwgsvMG3aNLs9fUXHkGRW5U6dOmWbWN5wE2XRM0nM1UXirS4Sb/WRmKuLmuK9LiWHzxJu5KOU/XbHnRULf064EcuyXRzOLqO411Qst88AIMDLldsSw5g1JJyxbZDA5ubmsmrVKgwGAxs2bKCqqoqBAwcyf/58dDodY8aMueytZS5GTfFuLUlmVa6srMy25LdQB4m5uki81UXirT4Sc3Xp8fE+fhyOH8c883qeWXmY7NgR7A+LY0jOCZxQsKAhJbQv22NHwIkCAHr7ejIj0TqEeEzfy09gjxw5Ypv/unPnTgDGjRvHM888g1arZeDAgZd9my3V4+PdBiSZFUIIIYQQQnQeiwVuvx2+/BICA/llWzLZJdWg0fDqxHn856tFADih8I9J/2dd+Al4YtYg7h4fg8tlJLBms5kff/wRg8GAwWDg2LFjeHp6MmPGDJYtW8bs2bMJCQlpk9sUbU+SWZUbPHhwZ1+C6GASc3WReKuLxFt9VBXztth3tJvrsfF2crL+URTIz2fLw8/B0CQAtp/vnR2Wc5z9YXHWXtnzQv3cW5XIVlRUsGHDBgwGA6tWrSI/P5/Q0FCSkpJ49dVXmTJlSqPtPTtDj413G5JkVuXac5y/6Jok5uoi8VYXibf6qCbmNTVw9dUt33e0h+oR8TYaYeNGmDULs0UhOaOITam5pIddx7Pe61h+lZbPBky+8HiNhpevmc/iTe/x8jXzbb2yAP5uLX/a7OxsVq1ahV6vZ9OmTdTU1JCQkMC9996LTqdj1KhRXW43kx4R73YmW/PI1jxCCCGEEF2bosDo0bBnT9P7jo4cad1vtIft56koChs2bOCDDz4gNTUVV1dXJk6cyH333UdCQkJnX96l+fxzLI88ilNmBm8+s5zlmkgKK2ptxR6KmQgfC78YPsRv9E24eAc4jKeiWDCXFbBklIbf3DXf4VMpisLhw4dt2+fs2rULJycnJkyYgE6nQ6vV0r9//3a7VXHpZGseIYQQQgjR82g0sGRJ0/uOWizW8h6WyFZUVPCrX/2K1atX2x3fv38/b731FkuWLOHJJ5/spKtrubPFVWxOPUf1xlR+m5kBQPzH71J401P4ebgwOT6EKYNCuWZAMH9/9mm2/qLHVJpLyA1PogEa97xpKNz8Pqk+E+yOmkwmduzYYVvA6dSpU3h7ezNz5kz+8Ic/MHv2bAIDAzvilkUHkWRW5YqKirBYLDg5OREQENDZlyM6gMRcXSTe6iLxVh9VxXz6dOtQ4717wWy+cNzJCUaMsJb3MHfddZddIuvu7o7RaMRisaAoCgsXLiQkJIQFCxZ04lU2ZrEoHPlhH1vP1bDqrJHU7FIAXHsPZ45vEKcj+5M9/z4+u2UMV8UE2K1A7OJiTU+qju1kXkwVm4sCrItBnefvauH4ly9SdWwnLi7XUlZWxvr169Hr9axevZqioiLCw8PRarXodDomT56Mh4dHx74AbURV7+9WkmRW5TIyMmxLfsubRB0k5uoi8VYXibf6qCLmFot18afoaMe9s3Ur4fawXtl9+/bx9ddfA+Dn58d7771HXFwcpaWlfPrppyxduhSAxYsXc9ddd3X69i1VtWZ2nMgnedsehr/zMtelfM/Gsb8ideIdOGlgZHQAUweFUv27fYzpF8HYJuI1fvx428+bPnyFrdu+Y9/ZcnLLqgn0cuHhu26k6ph1y5wNGzbw6quvUltby5AhQ7j//vvRarWMHDmyR0wZVMX7+zJJMiuEEEIIIboeRYF//xteeQWqquDECce9s66u8Oc/25975AiUl1vn0XbTJPc///mP7efnn3+e2267jf379+Pr68sf//hHcnJyWLVqFVlZWWzevJmZTQ3BbkfnSqvZnJrL5tRz7DiRT43JQkRpLn85vANnxcI9B9YQ8/JiJl4ZQ2/vlq3WNH36dPr378+JEyfYtWsXY0aP4p577iErK4uPPvqInJwc22P9/Px4+eWX0Wq1xMbGttdtii5MklmVi4yMtA1fEOogMVcXibe6SLzVp0fHXKOB//3PmpgCfPMN3Hpr497ZP/wBGq76+sorsGwZxMaCwQDdcIuT06dP236eM2cOYB/vpKQkVq1a1eix7UlRFFKySq0J7JFzpGQUElxeRI5fkPX6enkybdwoCrNuJGTnd/g88AC6YRHQwkQWwMnJieXLlzN16lRqamo4cOAADzzwgN1jXFxcWLFiBbNnz27T++tqevT7u41IMqtyQUFBnX0JooNJzNVF4q0uEm/16VExz8qCiAj7Y3/7G6xdC5MmWbfegQu9s7t3W/9+7TX7c4xG+PZb68+5udC3r315TQ24uXX5Hltvb2/bz6dOnSImJsYu3idPnrT97OPj027XUW00s/NUAZtTz7E5NZfskmqcLWbuSF7DW7tXUNWrNxv/rWdKQigDQ33RaDQw9i3w9YVLnKtaUlLC2rVrMRgMuLq6UlNT0+gxV155JW+99Rbjxo1rq1vssnrU+7udyNY8sjWPEEIIIUTn2b0bXnwR9Ho4cAASEy+UKYr12LBh9uds2mQdWvzGGzB1qn1ZdTV8/DF89RWEhlp/rm/hQvj8c7jlFnjggQtJchfz6aefcscddwDWeaTr16+3JbjHjh1j1KhRlJSU4OLiQkZGBuHh4W323PnlNWw5Yh0+/P3xfCprLyy45enqzMT+gbz83Hx6nUi1Hty2Da65plXPlZGRYVt9eNu2bZhMJoYPH45Wq0Wr1WI0GtmzZw8AI0eOZNSoUdaEWfQ4rcnLJJmVZFYIIYQQovO8/jo8+KD157vvtg4PbisWi3W14zqKAgMHwvHj1p7ZrKwum8zW1NTQr18/zp49C0BYWBg33ngjRUVFfPPNN7ZeyzvuuIP//ve/l/VciqJw7Fw5m1LPsSn1HPsyi6mfIfR3NTF6RF+mDgplbL9APFyd4ZNPYN4865Dv55+3rijdwudKTk62JbD79u3D1dWVa6+9Fp1OR1JSEn369Lms+xHdkySzrSDJrBBCCCFEB6mosCaRXl4XjpWVwRVXgLc3PPzwhcS2PZSUwE03wdat1qHLW7fal3/+ORw6ZO21HTq004ci79y5kxkzZjT6rFpnyJAhbNu2jd69e19y3bUmCz+nFdoS2DNFVfZ1R/pzm2sBs9f9F/9Na9GcOGGf+BuNkJpqfZ2ae67aWrZt24Zer8dgMHDmzBn8/f2ZNWsWOp2OmTNn4u/vf8n3IHoWSWZbQe3J7P79+21Lfg9rOIRH9EgSc3WReKuLxFt9uk3M8/Lgn/+Ed96Bp56Cv/zFvnzvXusiTW4tXyjosuTmWq+p/pBmsCa4339v/fnwYRg0qGOu5yIOHz7MwoULMRgMmM+v4Ozj48OCBQtYtGjRJSWBRRW1bDuWy6bDuWw/lkdZjclW5u7ixPj+QUwZFMKU+FDC/D3gkUfgH/+wPuCJJ6w9sC19rqIi1qxZg8FgYO3atZSVlREdHY1Op0Or1TJp0qRO306oq+s27+820pq8TBaAEkIIIYQQ7SsvD154wfrzP/8Jf/oTuNT7GNrCIaptJiTE+qe+wkLYad2/lPh465/6Dh2yDlMePLhDe2wTEhL45ptvOHfuHGvXrj1/efGMGTOmReefzCtnc+o5Nh3O5ZfThVjqdWMF+bgzJT6EKYNCmBDbCy93V/uVoR980Bovf38IDm72udLS0mzDh7dv347ZbOaqq67i4YcfRqfTMWTIEJnvKtqUJLMq5+XlhclkwsVFfhXUQmKuLhJvdZF4q0+XjLmiWIfz9up14VhCAsyaBRs3wuTJUFoKrRga265694bMTOsWQN7ejRPWZ5+1LioVHw9r1li3/elAQcEh+PQdTl5ZLWdq3TBbFJydGieGJrOFX04XWRPY1FzS8ivsyuPDfJk6KJQpg0IYFtULp+oq+PBD0L5q/cLhV7+68OCICFi3DsaMsR8afp7FYmHPnj224cMHDx7Ezc2NKVOm8K9//YukpCQiIyPb+qVQjS75/u5iZJixyocZCyGEEEK0CZPJOuf0lVescyvXrbMvP3bMmiR2x+SmosLaM1lVBUFBkJ1t37NcW9uuQ6TXHcrmmZWHyS6pth0L9/dgUVICMweHU1pt5LujeWxOPcfWo3mUVBltj3N11jCmb6AtgY0KaJCUbt58YUXoESPgl18u2vNcXV3Nli1bMBgMrFy5kqysLHr37s3s2bPRarXMmDEDX1/fNr1/oQ4yZ7YVJJkVQgghhGgDZjPExUFamvXfBw7AkCGde01tpbzc2nv55ZfWebbvvGNf/qc/wZYtcOut1p/bsNd53aFs7vvvXpr6wD4w1IeTeRWY6o0fDvByZXJ8CFMHhTIxLghfj3pzUxXFPllVFLjqKuu85enT4Ysv7HvVgfz8fNasWYNer2f9+vVUVFTQt29fdDodOp2O8ePHS++huGySzLaCJLNCCCGEEK1QXg4+PvbH3njDunfr1Vdbf27hvM5upeF2PxYLREVZe2vd3KyLS7XRyrxmi8KEl7bY9cg2pX+ID1MGWRPYEX0CGg9BPnDAupiTlxe895592Y8/gqcnDB9uO3TixAnb8OEdO3ZgsVgYPXq0bQGnhIQEmf8q2pQsACWEEEIIIdrX3r3WocTr18OpU/aJ2913WxOiCRM6fVubdtPwg3VuLvTrZ01mZ85snMguXw5nzlh7bQcOvKSn+jmtsEWJ7Gu3DuOGEVFNP6C6Gq65BoqLwdUVFi2yzoetM24cFouFXTt32hZwSk1Nxd3dnWnTpvHuu++SlJREWBfdk1eolySzKpeRkWGbWC4bVKuDxFxdJN7qIvFWn06J+bvvwmefWX9euhT++tcLZT4+MHFix1xHVxEWZt3O58wZa291Q6+/Dvv3w9NPWxeYirpI0nlecWUtKw9ks+z7Uy26BCcHC0HZ8fCA++6DF18EPz9ISYGICKqqqti0aRN6vZ5Vq1Zx7tw5goKCmDNnDi+88ALTpk3D29u7Rdcg2p606c2TZFblioqKbPtXyZtEHSTm6iLxVheJt/q0e8yrq8Hd3b6X9aGH4IMPrAsheXi0/XN2V46S1IwMayILMGpU48fs22cd9jtgADUmM1uP5PFt8hm2HMnFaG75TMAQ3/NxqKqC//zHOrd33TprL2ydP/8ZwsPJnTOH1du2oZ87lw0bNlBVVcWAAQP4v//7P7RaLWPHjsW5/vY8otNIm968Tk9my8rKWLJkCfv27SM5OZn8/HwWLVrE4sWL7R53sTH5AwcO5MiRI3bH3nzzTd566y3S0tKIiIjgrrvu4oknnpDNmYUQQgghmlNQYF3k6M034eOPrQsD1YmPh9WrrVvseHp23jV2B336WBPar7+2H9Z7nvLoo2g2bCA7ZiC33/wMac4X5iAPCvdj7pURrFy1C/LyHC4ApQGcwkIZFXt+wal774VPP7X+/OWXcMcdABw9etQ2//XHBx4AYOzYsSxevBidTsfASxz+LERX0enJbEFBAe+//z7Dhg1j7ty5LF261OHjdtZtYl3Prl27ePDBB7nhhhvsjj///PM89dRTPPbYY0yfPp3du3ezcKcJwIgAACAASURBVOFCzp49y/vvv98u99FdxcfHoyiKTOBXEYm5uki81UXirT7tFvNt2+Cpp6w/v/KKfTIL1j1jRctccQX85S92h9LzK1j73SEWbNqEC2AuLCLNyZtQP3fmXhnJDSMiie/tAYrCXTeNwb0gv8nqawKDcX7mBmsP+m9/C59+ihnY+b//Ydi/H71ez7Fjx/D09GT69OksXbqUOXPmEBIS0r73LS6btOnN6/RkNjo6mqKiIjQaDfn5+U0ms2McrIb33nvvodFouOeee2zHCgoKeO6551iwYAEvvPACANdeey1Go5GFCxfy4IMPkpCQ0D430w25u7t39iWIDiYxVxeJt7pIvNWnzWJuNNoPSZ07F/r2hfR0CAho931U1aBuHuy3e8+wN6MYv+pyCq65C+3RH8gfOYb/3juGsf0CL6xCPH8+HDiAu4c7ikaDxsEGJIpGg3vfGHBzo6Kigo2FheiHDmVVRgb5335LaGgoSUlJvPLKK0yZMgUvL69GdYiuS9r05nV6MtvabxrKysr46quvuOaaa+jfv7/t+Lp166iuruY3v/mN3eN/85vf8OSTT7JixQpJZoUQQgghzGZYscLa8zpuHLz66oUyZ2frvqpRURAb22mX2N1Z58Hm8s3es2w9emEerJMGrhway+D5z9I/MZShzhrra247sQb0eigpAS8vh4kswDlFYeW4cRi0WjZt2kR1dTUJCQnc+/vfo9PpGDVqlGw3KXq0Tk9mW+vzzz+noqKCe++91+74oUOHABjSYJPu8PBwgoKCbOVCCCGEEKpWWAjz5lkXeUpJsa62W39bGbWtStxGFEVhz+kivkk+y+oD2ZRUGW1lCeF+3DgiEu2wCEL8LrJ4VlYWDBgAu3fDjTfC0aOwdy+K2cxhwADogV2A05tvMmHCBJ577jm0Wi1xcXHtfIdCdB3dNpldtmwZvXr14qabbrI7XlBQgLu7u8NlxHv37k1BQUGzdaekpBAdHY2fn5/tWE1NjW2RqYCAgEYrih0/fpzKykoAhg0bZleWn5/P2bNnAejTpw8BAQG2MrPZbEuwfX196du3r925aWlplJaWApCYmIiLy4WQFRcXc/r0aQAiIiIIDg62O/fAgQMoioKnpycDBgywK8vMzKSwsBBFUYiMjMTd3d12v+Xl5Zw8eRKAkJAQwsPD7c49fPiwbWW1hr3c2dnZ5ObmAtCvXz986m2mXl1dzdGjRwFrLK644gq7c48dO0ZVVRUajYahQ4faleXl5ZGVlQVYh6b36tXLVmYymUhJSQHAz8+P2AbfIJ86dcq2AfPgwYPtVugrKioiIyMDgMjISIKCguzO3X9+BUIvL69G/zlkZGRQVFQEWOc01B8KUlpaSlpaGgChoaGN9mVLSUnBZDLh7u5OfHy8XVlWVhZ5eXkA9O/f3+53ubKykuPHjwMQGBhIVINVEY8ePUp1dTXOzs4MHjzYriw3N5fs7GwURSEkJAQfHx9bzGtra0lNTQXA39+fmJgYu3NPnjxJ+fntBoYMGWL3LW9BQQFnzpwBICoqisDAQFuZxWLh4MGDAPj4+NCvXz+7etPT0ykpKQFg0KBBuNUbwlZSUkJ6ejpg/TKq4dyeQ4cOYTab8fDwaLRwxZkzZ2zv9bi4OLthVRUVFZw4cQKA4OBgIhosyHHkyBFqampwcXEhMTHRriwnJ4dz584BEBsb2y3aiLrXsHfv3o2uqSVtBFgX2fOot2KptBEXdLU2Ii8vz/a7FBQU1Ko2AiAmJgb/ekmNtBEXdLU2ov773M/P7+JtRHw8LvV+D4tdXTHNmUPQ119jiorCJTPTLpmVNsKqpW2ExSuQremVrEg+S0Zhpe0xvT2dmNrfn3umDGFgmK/t+EXbiMBA0j74ALczZ+jl68uxXbvQ796NATgJeAMzgP83bx53vvaaXdvU3p8jQNqIjmojSktLbXNmz5071y1zDbj0NuJSdMtkNiUlhV27dnH//ffbvTB1LjZ0uSXDmk0mE0qD4RyKomA0Gm3ljs6pK2/IYrHYyiwWS6Pyltbb8Jrq12s2mx3WqyiKwxWczWaz7dzTp0/j6upqe2O0pN6m7rV+vQ3vtf5r6Kjeunt1FKOW1ttVYtPcvRqNRkwmk8OhP/XvtTX1Go1Gh2X1683KyrKLef17vdSYt/Q1dHR+/WtqqLl7ra2txWKxONw+oC1ew4bnXUq9XeX30GKx2M7Jz89v9OG5pW1Ea9oeaSM6p404e/as7Voup41w9PsvbcSF6+1KbUR6erqtvqbqdT5yhLBPPsH5zBnYs8e2zY7FYiHrjjsovPZa/G68kbAGHyiljbCv15HCihpWHSnhu9PVHCs8Yzvu7ebMzMHhJHqXkxjihp+Pj10i27Dehq9haWkp69atY/v27fz4448UFxcT7upKktHIG8BkjQbLoEGcevjhRl+ydcTnCGkjOqaNSEtLs33x4+bm1m1zjUut91J0y2R22bJlAI2GGIP1W6bq6moqKysbTXIvLCxk5MiRzdbv4uLSqCHUaDS2QNX/xqL+OU1t++Pk5GQrc/TBpKX1Nrym+vU6eiO6urqiKIrDep2dnXF1dXX4pmhJvfX/dlRvXT311X8NHdVbd6+O/hNqab1dJTbN3WvdfTb3GramXrPZ7LDsYjGvO/di9V7ua9jcvTbU3L26ublhNpvb5TW0WCwXfd80V29X+T2sX5ej91VL2oim6pU2wqqrtRENH+eo3ubaiKbq7cptREFBAcXFxYSEhNh6dXp0G5GZCed73jyPHrV9GPTy84PycggJse1n6uLiQsTf/473vn3Wytavh5kzbXUpsbFUxcYS4OCapI2wr7dO/XmwW47kYrJcmAc7IS6YG4dHMj0xFC83F9vojZa0EWfPnmXlypXo9Xq2bNlCbW0tcXFxzJ8/nzvuuIOR+fk41a0irSic+uMfcXWwKFd7f45wVG/duRerVz5HdM/PEZeba7Sm3kuhURx9bdBJ8vPzCQ4OdrjPbJ3a2loiIyOJjo7ml19+aVT+6aefcscdd/DTTz8xevRo2/GcnBzCw8N5/vnneeKJJ2zHLRaLbehIHV9fX9VMls/JybE1Wg2HuYmeSWKuLhJvdVFbvL/55hv+8Y9/8NNPP9mOzZgxg8cee4xrr7228y6sPdXUQHQ0nB+q6FBYmHUV4rphq99+a5136e8Pr70GDRbJFM1rk3mwDuo8ePCgbf/XX375BWdnZyZNmoROpyMpKcl+SKiiUDt8OG7791M7bBhuycm2XnbRM6mtTW9NXtbtemYNBgP5+fk8++yzDstnzpyJh4cHH374oV0y++GHH6LRaJg7d25HXWq3oIY3hrAnMVcXibe6qCneTz31FM8991yj4+vXr2fDhg28//77DkdwdXtubtCnj7Vn1sFwQsDaM1u/x06rhfffh9tuA19fx+cIh9LzK/gm+WyjebBhfh7ohkdw4/CoRsOHL8ZoNPL999/bEtj09HR8fX25/vrrefDBB5k1a5bdfEc7Gg1ur7wCf/6z9W9JZHs8NbXprdUlktm1a9dSUVFhy8QPHz7M119/DcCsWbPshgsvW7YMT09Pbr/9dod19e7dm4ULF/LUU0/Ru3dvpk+fzu7du1m8eDH33nuvbMsjhBBCdHMrV660S2QTExMZPnw4O3bsID09HUVR+N3vfseoUaMaLQTU7Wk0sGSJbaiwQ3372ic6zs6wYEH7X1sPUVRRy6oDWXyTfJbkjGLb8bp5sDeOiGRM33r7wTajpKSEdevWYTAYWLNmDcXFxURFRaHVatHpdFxzzTUt30906lQ4fLg1tyVEj9QlhhnHxMTYVspqKC0tzbYiWmZmJjExMcybN4+PPvroonW+8cYbvPXWW6SnpxMWFmbbZ7bhWHO1DzMWQgghupvJkyezbds2AF5++WX+9re/odFoMJvNPPDAA7z11lsA3HPPPSxdurQTr7SdKAqMHg1791r3im3o17+GTz/t+OvqxmpMZrak5vJN8lm2NdgPtuE82JbIyMiwzX/dtm0bRqORK6+8Ep1Oh1arZfjw4S1alFQINWlNXtYlktnOJMmsEEII0X2UlpbatgTp378/x44ds0sKysvLCQsLo6KigqCgINsWJT1OvYWc7HzwAfTE4dXtoG4e7P/2nmX1gSxKqy+s9Hqp82AVRWHfvn224cPJycm4uLgwefJktFotWq220YryQgh7qpgzK9pWSkqKbcnvhnthiZ5JYq4uEm91UUO86/ZDBOvw4oa9Wz4+PvTt25eDBw/a9p/scSwW6wJPI0eiJCejsVhQnJzQjBwJ99zT2VfX5aXlV/BtG8yDra2tZdu2bRgMBgwGA5mZmfj7+zNr1iweffRRZs6cabcXa1tQw3tcXCDxbp4ksypnMpkwmUwy1EVFJObqIvFWFzXEOygoCDc3N2pra9mxYwdVVVV4enrays+cOcPh83MKIyIiOusy29fSpfD730NkJJrzi0BpLBbrXNoeHPvL0VbzYIuKili7di16vZ61a9dSVlZGdHQ0c+fORafTMWnSpCa3T2kLaniPiwsk3s2TZFbl3N3d7fZ6Ej2fxFxdJN7qooZ4e3h4cNNNN/HZZ59RUFDA/Pnz+de//kVISAhpaWncddddtn1X77zzzk6+2nZQVQULF1p/PnuWmpgY3NPTqRo8GM/p0zv10jqK2aLwc1ohuWXVhPh6MCq2t8Mk9GLzYCfGBXPjiEimJTQ/DzYtLc3W+7p9+3ZMJhMjR47k4YcfRqvVMnTo0A5LNtTwHhcXSLybJ3NmZc6sEEII0a3s27eP0aNHU1tbC4CLiwtRUVGcPn2auo81AQEBpKSkEB4e3pmX2j4OHYLf/hbi4uDOO+HPf4Y33rCudNvDrTuUzTMrD5NdUm07Fu7vwaKkBGYODkdRFH45XcQ3F5sHe2UEIb5Nz4O1WCzs2bMHg8GAXq/n4MGDuLm5cd1116HVaklKSiIqKqpd71MINZIFoFpBklkhhBCi+9Hr9dx2221UV1c3KgsMDGTVqlWMGTOmE66sg1gs1l5ab+/OvpIOs+5QNvf9dy8NP7hqAAWYNTiMg1klZBZW2cpaOg+2urqarVu3otfrWblyJVlZWQQEBDB79mx0Oh0zZszAV/boFaJdSTLbCpLMCiGEEN1Teno677zzDv/73/8oKioiLCyM22+/nQULFhASEtLZlyfakNmiMOGlLXY9sk1p6TzYgoICVq9ejcFgYP369ZSXl9O3b1/b9jkTJkzAxUVm5AnRUSSZbQVJZoUQQgjR5R08CIMHq3KBJ0VRWJ+Sw+//u7fZx/5xcj/unxyHp5uzw/KTJ0+i1+vR6/Xs2LEDi8XC6NGj0Wq16HQ6EhISZLEdITqJbM0jLllWVhZmsxlnZ+eeu+qjsCMxVxeJt7pIvHuovXvh6qth1ix46y2ot19pT4p5eY2J9PwKTuVXkJZXQVp+OWnn/11Wb+7rxcSF+tolshaLhZ9//tk2//Xw4cO4u7szdepU3n33XebMmdOt5lX3pHiL5km8myfJrMrl5eXZ9q+SN4k6SMzVReKtLhLvHshsti72ZLHAqlUwfjw89pituLvFvNZkIaOwkrT8eslqXgVp+RXkltVcdv0hvh5UVVWxefNm2/zXc+fOERQUxJw5c3juueeYPn063t10rnF3i7e4PBLv5kkyK4QQQgjRVTk5waOPWlcsDgyEhx7q7CtqlsWikF1abetdPZVfcT55rSCzsBLLRSa4Bfm4ERvkff6PD7FB3vQN9iaylydT/9935JRUN1oACsBSUYxr9j5e+utSNm7cQGVlJXFxcdx5553odDrGjh2Ls7PjocdCiO5L5syqfM5sRUUFiqKg0Wi67beU4tJIzNVF4q0uEu8erLgYzp2DgQPtDndWzBVFobCi1jYMOM02NLiC9IIKakyWJs/1dnMmNrhesno+eY0J8sbfs+n9NOtWMwbr6sXGgjNUnthF1fFd1JxNRaOBsWPH2hZwio+Pb+vb7nTyHlcXtcVbFoBqBbUns0IIIYQQTamoMdl6Vev+WOe0ltvt4dqQq7OGPr29iA3yoW+wt623tW+QN8G+7q1aZMlsNvPPT1fx6gefkpfyI6bCM2hc3OkVN4L5v76Zx383T1axFqIbkwWghBBCCCF6gqoq8PS86EPMFoWf0wrJLasmxNeDUbG9m9yG5mJqTRYyiyptPaun6s1nPVfa9DxWjQYi/D3pG+xNTOD5hDXYmrBG9vLExfnyOwYqKirYuHEjBoOBVatWkZeXR0hICNdPmcaQcVOYOnUqkxKiWnXfQojuT5JZIYQQQoiupLgYhg2DefNg4UKHSe26Q9k8s/Kw3b6r4f4eLEpKYObgxqvzWiwKOaXV9XpWLySsmUVVmC8ykTXQu9481uC6YcE+RAd64eHa9vNQc3JyWLVqFXq9nk2bNlFdXc2gQYO4++670el0jBo1Sua/CiEAGWas+mHGlZWVtrH4Xl5enX05ogNIzNVF4q0uEu8e4r774N13L/z89tt2xXVzRxt+gKvrm/zbjIGE+nnYrRacXlBBtbHpeaxebs52Q4Ftc1oDvfH3anoea1tQFIXU1FT0ej0Gg4Fdu3ah0WgYP368bf5rXFxcu15DdyHvcXVRW7xlmLG4ZMePH7ct+T1s2LDOvhzRASTm6iLxVheJdw+gKBASAq6u4OZmtw0PWIcWP7PysMMVfeuO/WP9UYdVuzhp6BPoZVtwqf5qwSGtnMfaWiaTiR9++MG2/+vJkyfx9vZmxowZLF++nNmzZxMUFNRh19NdyHtcXSTezZNkVgghhBCiq9Bo4Jln4NZbITUV+vSxK/45rdBuaHFTBkf4MbxPgG1ocGygN1EBbTOPtbXKysrYsGEDer2e1atXU1hYSHh4OElJSbzxxhtcd911eHh4dNr1CSG6H0lmVS4wMBCz2SxzT1REYq4uEm91kXj3IImJ1j8NZBZVtuj0BZP6orsysq2v6pJlZWVhMBgwGAxs3ryZ2tpaBg8ezH333YdWq+Wqq65SzdSutiDvcXWReDdP5syqfM6sEEIIIbqHnScL+NNne8kvr232sZ8tGMPYfoEdcFX2FEXh4MGDtgR29+7dODs7M2nSJLRaLVqtlr59+3b4dQkhuj6ZMyuEEEII0d0oCtxxB+h01uHFDeauVhvNvLTuCMt/SAfAWQPmJroiNECYv3Wbno5iNBr5/vvvbQs4paen4+Pjw/XXX88DDzzA9ddfT+/eHXc9Qgj1kGRWCCGEEKIzffQRfPaZ9c+2bfDOO7aifZnFPPTlPk7lVQDw61F9GBXbm4e+2AdgtxBUXQq8KCmh3fddLS0tZd26dej1etasWUNxcTFRUVG23tdrr70Wd3f3dr0GIYSQZFYIIYQQojNt337hZ50OgFqThTc2H+ftbSewKBDi685LNw9l8sAQADxdnRrtMxt2kX1m20JmZqZt+PDWrVsxGo0MGzaMP//5z+h0OoYPH96hKyILIYTMmVX5nNmjR4/alvweOHBgZ1+O6AASc3WReKuLxLubUhT49lv4/nt47TWO5JTy0Bf7OZxdCsDcKyNYrE2kl5eb3Wlmi8L/tu8jr6yWYF83bpp0ZZv2yCqKwr59+2zb5yQnJ+Pi4sK1115r64GNjo5us+cTzZP3uLqoLd4yZ1ZcsurqaoxGI2azubMvRXQQibm6SLzVReLdTWk0cOONmOfewHvbTvDaxmMYzQoBXq48f8MQZg1x3NPq7KRhYIATfX2ccXV1apNEtra2lu+++842/zUzMxM/Pz9mzZrFI488wsyZM+nVq9dlP49oHXmPq4vEu3mSzKqcs7OzLPmtMhJzdZF4q4vEu/tKy6/goS/3kZxRDMDUQaG8eOMQgn0vPu+0LWJeXFzMmjVrMBgMrF27ltLSUvr06cPcuXPR6XRMnDgRNze35isS7U7e4+oi8W5elxhmXFZWxpIlS9i3bx/Jycnk5+ezaNEiFi9e3OixRqORN998k+XLl3PixAnc3d1JSEjglVdeYdy4cbbHnThxgmeeeYbvvvuOvLw8IiIi0Ol0PPnkkwQGXliqXu3DjIUQQgjRCT74AMaMwZI4mI9/Os2La1OpNlrwdXdhkTaRm0ZEtuv80/T0dNvw4e3bt2MymRg5ciRarRadTsfQoUNl/qsQokN122HGBQUFvP/++wwbNoy5c+eydOlSh48zm83ccMMN7Nixg0ceeYRx48ZRUVHBnj17qKiosD0uLy+PMWPG4Ofnx5IlS+jTpw/JycksWrSIrVu3smfPHklWhRBCCNE5Dh6EP/wBBfh25nwWJd4AwPj+gbx88zAie3m2+VNaLBb27t1rGz584MABXF1due6663jjjTdISkoiKiqqzZ9XCCHaU5dIZqOjoykqKkKj0ZCfn99kMvvmm2+ydu1afvjhB8aMGWM7Pnv2bLvH6fV6CgoK+OKLL5gyZQoAkydPpqamhieeeIL9+/czfPjw9rshIYQQQogmKC+/jMZkQgNkFlXi6erM47PimTc6Gqc2XMCppqaGLVu22FYgzsrKIiAggNmzZ7Nw4UJmzJiBn59fmz2fEEJ0tC6RzLZ0GMvrr7/OpEmT7BJZR1xdXQHw9/e3O163YIGHh0crrlIIIYQQ4vLkllXz9DW/Jz7NzIxjO9l5629Zc/vVxAZ5t0n9BQUFrFmzBr1ez/r16ykvLyc2NpZbb70VnU7H+PHjbZ+ThBCiu+sSyWxLZGZmkp6eTlJSEk888QTLli2joKCAgQMH8sgjjzB//nzbY+fOnUufPn3461//yttvv010dDR79+7l73//O0lJSQwaNKgT76Rryc3NtU0sDwkJ6ezLER1AYq4uEm91kXh3basPZLNwxUGKKo1sueZOPJ9ZxKeTB1zWKsS5ubmcPHmSjRs3smXLFnbs2IHZbGbUqFE8/vjjaLVaEhMTZf5rDyHvcXWReDev2ySzZ8+eBeCjjz4iKiqKf/3rX/j7+/PBBx9w1113UVtby4IFCwBrj+xPP/3ETTfdxODBg2113HLLLXz88cfNPldKSgrR0dF2Q29qamo4cuQIAAEBAfTp08funOPHj1NZWQnAsGHD7Mry8/Nt19+nTx8CAgJsZWazmUOHDgHWCc59+/a1OzctLY3SUus+c4mJibi4XAhZcXExp0+fBiAiIoLg4GC7cw8cOICiKHh6ejJgwAC7sszMTAoLCzEajYC1N7vuTVJeXs7JkycBCAkJITzcfkuAw4cP2/a8SkhIsCvLzs4mNzcXgH79+uHj42Mrq66u5ujRowD07t2bK664wu7cY8eOUVVVhUajYejQoXZleXl5ZGVlAdZh6fW3BTCZTKSkpADg5+dHbGys3bmnTp2yTSYfPHiw3YpwRUVFZGRkABAZGUlQUJDdufv37wfAy8uLuLg4u7KMjAyKiooAiI+Px939woqTpaWlpKWlARAaGkpYWJjduSkpKZhMJtzd3YmPj7cry8rKIi8vD4D+/fvj7X3h2/rKykqOHz8OQGBgYKP5TUePHqW6uhpnZ2e7332wNojZ2dkOY15bW0tqaipgff/ExMTYnXvy5EnKy8sBGDJkiN2c84KCAs6cOQNAVFRUowXWDh48CICPjw/9+vWzqzc9PZ2SkhIABg0aZLdaZklJCenp6QCEh4c3asQPHTqE2WzGw8Oj0d5rZ86coaCgAIC4uDi8vLxsZRUVFZw4cQKA4OBgIiIi7M49cuQINTU1uLi4kJiYaFeWk5PDuXPnAIiNje0WbUTd77ej/whb0kYADBw40G5Ei7QRF3S1NiIrKwuTyQRY39etaSMAYmJi7EY3SRtxQWvaiOLKWhZ+e4BVB61lcUEevDnvauLDLrQhl9JG+Pv7s3v3bvR6PV988QWnTp3Czc2N8ePH8/bbb5OUlGR7X6alpXHgwAGgfT5HgLQRHdlG1P9/PDs7u1M+R4C0ER31OaIu3q6urpSUlHTLXAMuvY24FN0mmbVYLIC1IVuzZo1tk+5p06Zx1VVX8eyzz9qS2aKiInQ6HZWVlXzyySdcccUVHDp0iCVLlqDValm9erVdoBoymUw0XORZURRb41H3QaHhOXXljq69rqzuPuprab0Nr6l+vY72nzIajSiK4nA4kdlsbtH1NlVvU+fWr7fhvdZ/DR3VW3evjr49bmm9XSU2zd2r0WjEZDI5XIis/r22pt6m9iO7WMzrzm2uXkda+ho6Ov9i19TcvdbW1mKxWBwuV98Wr6Gjhd5bWm9X+T2sX5ej+2lpG9GatkfaiM5pIxo+zlG9LWkjmvp9aa5eR9TeRmw9ksuj/ztAyPEUAnqFMmV4GAvGXcHAMPu5qs39HpaVlbF7926Sk5PZuHEjOTk5BAYGMm7cOH7/+98zevRowsLCGn2g7IjPEdJGdHwbUVd3Z32OkDZCPZ8jOqONuBTdJpmt+5YmPj7elsiCdb7tjBkzePHFF8nNzSUkJISXXnqJffv2cfr0aVumP3HiROLj47nuuuv45JNP7IYlN+Ti4tKoIdRoNLZAOUqEXVxcmpyD4uTkZCtz1Oi0tN6G11S/XkdvRFdXVxRFcVivs7OzrTwiIsLu28CW1Fv/b0f1OrrX+q+ho3rr7tXRf0ItrberxKa5e627z+Zew9bU29R+ZPVjHhISYvdNbf17barey30Nm7vXhpq7Vzc3N8xmc7u8hhaL5aLvm+bq7Sq/h05OTri4uKAoit033fXrba6NaKpeaSOsulobERERwdmzZ9FoNK1uIxzVW/9epY1oWRtRWWvmxf8d4PPdmXjXVPLvFc/jpzFzLvwRNG6xjc519HuYl5fH6tWr+eqrr9iyZQvV1dX07duXO+64A51Ox9ixYykrKyM9PR2NRtMpnyNaW2/9v5uqV9qIxvcaExODoihkZGQ0mUS09+cIR/XWv1dpI9ruc0RdvDUaDbm5ud0y12hNvZeiS+wzW19+fj7BwcGN9pk1mUz4+/vTv39/25CNbKmblgAAIABJREFUOo8//jh///vfycvLIygoiJkzZ3L06FHb8Iw65eXl+Pr68re//Y1//OMfgOwzK4QQQoi2tfNkAQ9/vZ8zRVVoNPDpka8Zu+JDa+HMmbBmDTQxh/XYsWO27XN+/PFHFEVh7NixaLVatFot8fHxMv9VCNEjddt9ZlvCxcUFnU7H119/TXp6um0svqIorFu3jn79+tnmKURERLB582bOnj1LZGSkrY6dO3cCyD5qQgghhGhz1UYzL687yr9/sH6ZHhXgySu3DGOM+5WgKYF16+Dtt+0SWbPZzE8//YTBYECv13P06FE8PT2ZNm0aH3zwAbNnzyY0NLSzbkkIIbq0LtMzu3btWioqKigrK+Puu+/mlltu4dZbbwVg1qxZeHl5cfLkSa666ipCQ0NZvHgxfn5+LF26lBUrVvDll19y8803A7Bnzx7GjRtHv379eOyxx2xzZp977jk0Gg2HDh2yJb7SMyuEEEKIy7Uvs5iHvtzHqbwKAH49qg9Pzh6Ej3u9foNTp6BvXyorK9m4cSN6vZ5Vq1aRl5dHcHAwSUlJ6HQ6pk6darfgjBBCqEFr8rIuk8zGxMTYVstqKC0tzdYTe+jQIR577DG2b9+O0Wjkyiuv5Mknn2TOnDl25yQnJ7NkyRJ2795NXl4ekZGRXHfddTz99NN2q9+pPZmtra21/Vx/BTjRc0nM1UXirS4S745Xa7Lw5pbjvL3tJGaLQoivOy/dPJTJA+1XTj137hwrV67EYDCwceNGqquriY+PR6fTodVqGT169CXPHTt16hQZGRkEBAQ0Wg1X9EzyHlcXtcW7WyeznUXtyez+/fttS343XOZb9EwSc3WReKuLxLtjHckp5aEv9nM427qthe7KCJ7RJtLLyw2lsJDUs2cxrF6NXq9n165daDQaxo8fb5v/2nDl4ZbS6/W88MIL/Pzzz7ZjMTExPP744yxYsEDm1PZg8h5XF7XFu0fPmRVCCCGE6ArMFoX3tp/ktY3HMJoVArxcef6GIUwfFMyPP/6IfsUKDO+9x4nKSrw8PJhx/fUsX76cWbNmNdqn8VK99tprPPTQQ42Op6en87vf/Y7k5GTefvttSWiFEKogyazK+fv7N7kEu+iZJObqIvFWF4l3+0vLr+CvX+5jb0YxANfE+nKNdxZfvPIY/7d6NQUFBYT16oW2spJ/AlNCQ/H48ku4yP72LbVnzx67RHbo0KGMGDGClJQUdu/eDcC7777LpEmT+PWvf33Zzye6HnmPq4vEu3kyzFjlw4yFEEII0TyLReHjn07z4tpUygvzUE7/QmjRIVJ++YHa2loGDx6MVqtFp9NxVW0tTr/9LaSmgl4PWm2bXMP8+fP5z3/+A8Cjjz7Kiy++aOuBXb58OXfffTcAo0aNYteuXW3ynEII0VFkzmwrSDIrhBBCiIs5U1TJ717/hh+3bKDyxE/UZh/H2dmZiRMnotPpSEpKol+/fvYn1dRYE9nzOzO0heDgYPLz8/H19SUnJ8duxWNFURgyZAgpKSkAFBQU0Lt37zZ7biGEaG8yZ1YIIYQQog0YjUa+//57Xv3gEzauW4OxOAeNmydXTZjMH//+FHPmzL54suju3qaJLEB5eTkAUVFRjbbu0Wg0xMXF2ZLZ8vJySWaFED2eJLNCCCGEEEBpaSnr1q3DYDCwavVqSoqLcfYJxDNuNFePm8Kyx+8iPrKJBFFRoJ0XXYqOjubo0aMcOXKEEydO0L9/f1tZeXk527ZtA8Dd3Z2QkJAmahFCiJ5DklmVO3nypG3J70ZDpESPJDFXF4m3uki8L11mZiYrV65Er9ezdetWjMb/z959h0dVpg8f/6aHEBJKQgkloUOoBqnSO4TMCFhWRWFV7LpreZHFXQVxrYgirBVE1vJTEGUmdBAiRYoECCZ00iAJJSGkl2nvH7M5ZpJA+kySc3+uy8uQM+c5z5k755m5z3mKgY7dg/HsF0qjoIF4B3TlhYndeWxkJ1ycb5GsLloEFy/Ce+9BLT0RnT17NgsWLMBisXDPPfewatUqfHx8iI2N5d///jc3blgnpfrLX/6Cp6dnrdRBOJZc4+oi8S6fJLMql52drVwkQh0k5uoi8VYXiXf5LBYLUVFR6HQ69Ho9R48exdXVlVGjRvHGW+9w0q0bEcngCQS38WHpvf3o0drn1oWeOgVvvgkGA2zbBmfPQoluwDXh8ccfZ8WKFSQnJ3Ps2DFCQkLw9vZWuh8DeHl5MW/evBo/tqgb5BpXF4l3+SSZFUIIIUSDVlhYyK+//oper0ev15OYmIiPjw9Tp07lpZdeYsqUKRy7XMjL609w9VoBLs5OPDW6M8+O7Yq7awUmhDx3Dho1siazs2fXSiIL0Lx5c7Zv386UKVO4ePEigE0i6+Pjw08//URwcHCtHF8IIeoamc1Y5bMZm81m5We1nLPaSczVReKtLhLvP924cYMtW7ag0+nYsmULmZmZdOjQQVk+Z+TIkbi7u5NdYOTfm07yf4etyWFn/8a8f09/+rdvWrkDJifD22/DO+9YE9talJ2dzTfffMN3333H5cuXadq0KdOnT+fRRx/F39+/Vo8tHEuucXVRW7xlaZ4qUHsyK4QQQjQU8fHxytPXX3/9FaPRSEhICFqtFo1GQ79+/ZR1WQEOxqbx0rooLqXnAfDwHR2ZN7k7nm4ujjoFIYRQLVmaRwghhBCqYbFYiIyMRK/Xo9PpOHHiBG5ubowdO5Zly5YRFhZG+/btS+2XbzDx7tYzfLk/DoB2zRrx3l39GNq5hb1PQQghRDVUK5k1m83k5+eXWutMCCGEEKI2FBQUsHv3bnQ6HeHh4SQlJdG0aVNCQ0P55z//yaRJk/DxufmETccv3uCFtceJvZYDwH2D2vNKaDDeHpX8SrRtm3Xip2efBRd5kiuEEI5QqW7G+fn5fP/992zatIn9+/dz9epVLBYLHh4eBAcHM3bsWB544AH69etXm3WuUWrvZpyWlobZbMbZ2ZkWLeSOtBpIzNVF4q0uDTXe169fZ/Pmzeh0OrZu3Up2djYdO3ZUug8PHz683Nk+C41mlu86x8cRFzCZLbRs4sE7M/sypkcV1mPNyYFevSAhAQYMsCa2Dnq/G2rMRdkk3uqitnjXWjfjvLw83n33XZYtW0ZGRgY9evRg3LhxtGzZEk9PT65fv05sbCxffPEF77//PsOGDePdd99l6NCh1TsjUesuXbqkTPmthotESMzVRuKtLg0p3rGxscryOXv37sVkMjFo0CDmz5+PVqulV69eNuNfb+X05Uxe+CGKkymZAGj6BfC6thdNvdyrVrlt26yJLICvb62tK1sRDSnmonwSb3WReJevQsls165dady4Mf/85z954IEHaNWqVZmvs1gs7N69m9WrVzNmzBhWrFjBo48+WqMVFkIIIUTDYzab+f3335XxrzExMXh4eDBu3Dg+/vhjpk2bRkBAQKXKNJktfL4nlg92nKXQZKaZlxtv3NmH0L5tqlfZGTNg3z7429/g00+hgkm1EEKImlWhbsZffvkls2fPxqUSY0JiY2NJTExk9OjR1alfrZNuxurqviAk5moj8VaX+hbvvLw8du3apYx/vXz5Mi1atGDatGloNBomTpyIt7f3LcswmS0cjrvO1ax8WjbxZFDH5rg4OxGXmsOLa49zNPEGAON7tuTNGX1o2cSz5k7AYnF4IlvfYi6qR+KtLmqLtyzNUwVqT2aFEEIIe0pNTWXjxo3o9Xq2bdtGbm4uXbp0QavVotVqGTp0KK6uFZuMaWt0CovCT5KSka/8rrWPJ6O6+aOLSiLfYKaJhyuvhgVz14B2Fe6WLOq2GzdukJSUROPGjQkMDJS4CtFAOCyZzc/PJz4+nq5du1bq6W1dIMmsEEIIUbvOnj2rdB/+7bffsFgsDBkyBI1Gg1arpUePHpVOSLZGp/DkN0e51ZeYYZ1b8N7d/WjbtFH1TgAgMRHOn4exY6tflqiSqKgo3njjDX7++WdMJhMA3bp147nnnuOJJ56od99BhRC27JLMLl++nBs3bvCvf/0LgMjISCZPnsz169cJCgoiIiKizDXd6ipJZoUQQoiaZTKZOHTokDKB0+nTp/H09GTChAlotVqmTZt20/k3KlS+2cLwd3bZPJEtycfTlch/TsDNtQY+zy0W0Ghg40Z46CH48ENo1qz65YoK27ZtG3feeSf5+WXH/K677uL777+XhFaIeqwqeVmlW/iVK1fStGlT5d8vv/wyzZs354MPPsBisfDGG29UtkjhQGazWflPqIPEXF0k3uriyHjn5uai0+l45JFHCAgI4I477mD16tUMGzaMDRs2kJaWhl6v55FHHqlWIgtwOO76LRNZgMx8I0cS0qt1HMXOndZEFmDHDoePky1ODdd4amoq99xzj5LItmrVigcffJDhw4crr/nxxx9ZunSpo6poN2qIt/iTxLt8lVwhHBITE+nRowcAWVlZ7Nmzh++//54ZM2bQrFkzXn311RqvpKg9f/zxhzLld31aH1hUncRcXSTe6mLveF+5coWNGzei0+nYsWMH+fn59OjRgzlz5qDVahk8eHCtPCm7mnXrRLayryvXuHHw2Wcwbx589BEUu6nvaGq4xletWkVmpnVZpWnTprF27VoaNbJ2Hd+4cSNhYWEAfPTRRzz//PMVHnNdH6kh3uJPEu/yVfpqLygoUBYmP3DgAGazmfHjxwMQFBTE5cuXa7aGQgghhKgTLBYLp0+fVroPHzx4ECcnJ4YNG8bixYvRaDR069at1utR0RmJa2zmYmdneOwxmDnToWvKqlV4eLjy8wcffKAksmBNbkNDQ9m0aROXLl3i2LFjDBw40BHVFEI4QKWT2Q4dOrB3715Gjx6NTqejf//++Pj4AHDt2jXlZ1E/eHt7K3d8hDpIzNVF4q0utRFvo9HIb7/9pkzgdP78eby8vJg0aRJffvkloaGh+Pv719jxKmJQx+b4eLqSmW8sc7sT0NrXukxPjaqDS2Oo4RrPyMgAwM3Njc6dO5fa3qtXLzZt2gSgPMFtqNQQb/EniXf5Kp3Mzpo1i0WLFrFhwwaioqJYsmSJsu3IkSN2uSMrak5ZHwqiYZOYq4vEW11qKt7Z2dls374dvV7Pxo0bSUtLo3Xr1oSFhfHhhx8yduxYm6dj9qaPSrplIgvwWlgwLs7VGNtaWAiXL0OHDlUvww7UcI23a9eO6OhoDAYDe/bsYdSoUco2i8XC9u3blX+3bdvWEVW0GzXEW/xJ4l2+Sk8A9corr7B48WLatm3LwoULefbZZ5Vt0dHRzJw5s9KVyMrKYt68eUycOBF/f3+cnJxYuHBhma81GAwsXbqUPn360KhRI5o2bcqwYcP47bffSr02Ojqau+++G39/fzw8PAgKCuKpp56qdP2EEEKIhi45OZnPPvuM0NBQ/Pz8mDlzJkeOHOHxxx/n4MGDJCUl8fnnnxMaGurQRHZbzGVeWncCgDHd/Wnta9uVuLWvJ5/MCmFy7zbVO9B770HPnrB0KRjLTpyFfcyaNUv5ee7cuURGRgLWp7Avvvgix48fB+D2229X5nURQqhDjawzW13x8fH079+ffv360a1bN1auXMlrr71WKqE1mUxotVr27dvHvHnzGDZsGDk5OURGRjJ06FAmTJigvHb37t2EhoYyYsQIHnvsMfz8/EhMTOTYsWM2s93J0jxCCCHUyGKxEBMTg06nQ6fT8fvvv+Pi4sKIESPQaDRoNJo691Rg37lUHv7qdwpNZu4a0I53Z/bFgnV246tZ+bRsYu1aXK0nsgDnzkGfPlBQAC4ucOyY9d/CIQoKCrjttts4deqU8ruAgADS0tIoKChQfqfT6dBoNI6oohCiBthlndki+fn5HD16lLS0NFq0aEFISAienlWbaKGoCk5OTqSmpuLv719mMvvhhx/y4osvsn//foYMGXLT8nJzc+nSpQshISGEh4ffciF2SWaFEEKohdFoZO/evcr417i4OLy9vZk8eTJarZYpU6bQog6OCwWITEhn1spD5BlMTOndmuX33YarSy19VmdkwIIF8Mkn8OKL1qe0wqHi4+OZNGkSZ8+eLbXNycmJjz76iGeeecYBNRNC1JSq5GVVmrt86dKlLF68mMzMTCwWC05OTjRp0oR//etfvPjii5Uu71bJZnHLli1j5MiRt0xkAdatW0dKSgr/7//9vwqXrVbx8fGYTCZcXFwICgpydHWEHUjM1UXirS5lxTszM5Nt27ah0+nYvHkz6enpBAQEoNFo0Gq1jBkzBg8PD8dWvBwnkzP56+rD5BlMjOjqx4d/6V97iSyAry/85z/w4IN1/omsWq7xoKAgjh49ytdff83q1auJi4ujcePGTJ48maeffprevXs7uop2oZZ4CyuJd/kqncwuX76cl156iQkTJnD//ffTunVrLl++zLfffsu8efNwc3Pjueeeq/GKXrx4kfj4eMLCwliwYAGrVq0iLS2N7t27M2/ePGbPnq28ds+ePYC1W/Lw4cM5fPiw0uC9//77BAQE1Hj96quMjAyZJU1lJObqIvFWl6J4X79+nc2bN6PX69m1axcGg4G+ffvyzDPPoNFoGDBgQL252Rt7LZuHvjxEZr6R2wOb8dmDA/Bwrfm1a8tUzs3zukBN13jjxo154okneOKJJxxdFYdRU7yFxLsiKp3Mfvjhh8yaNYv//ve/Nr+fPXs2s2bNYtmyZbWSzCYlJQGwZs0a2rVrx4oVK/D19eWLL75gzpw5FBYWMnfuXJvXzpw5k8cee4zFixdz9uxZXnnlFUaNGkVUVBReXl43PVZMTAyBgYE2ywwVFBRw+vRpAJo1a0aHErMbnjt3jtzcXIBSixqnpqYqderQoQPNmjVTtplMJqKjowHrY/ROnTrZ7BsXF6dMM9+rVy+bhcBv3LhBQkICYB07UnJphBMnTmCxWGjUqFGpWaYvXrzI9evXMRgMpc4/OzubCxcuANCyZUvatLGdROPkyZPKhRUcHGyzLSUlhatXrwLWGdi8vb2Vbfn5+Zw5cwaA5s2b0759e5t9z549S15eHk5OTvTt29dm27Vr10hOTgYgMDCQpsUWrDcajcTExADg4+NDx44dbfaNjY1Vuiz07t0bF5c/vwSlp6eTmJgIWGdA9PPzs9k3KioKAC8vL7p27WqzLTExkfT0dAB69Ohh82QjMzOTuLg4AFq1akXr1q1t9o2JicFoNOLh4VFqsork5GSuXbsGQJcuXWjcuLGyLTc3l3PnzgHQokUL2rVrZ7PvmTNnyM/Px8XFpdRd6qtXr5KSklJmzAsLC5WxSL6+vqXu/l24cIHs7GwA+vTpY9PdIy0tjUuXLgHWGSeLd1E0m8388ccfgHV6+ZLj7+Lj45UlF3r27Im7u7uyLSMjg/j4eADatGlDy5YtbfaNjo7GZDLh6elJ9+7dbbZdunSJtLQ0ALp27Wpzvefk5HD+/HkA/P39S93cOn36NAUFBbi6utKrVy+bbZcvX+bKlSsAdOzYsV60EUXxNpvNlFSRNgKge/fuNsNIpI34U11pIywWC1FRUXz22WdERERw+vRpXF1dGTVqFEuWLEGj0RAUFKS0ETExMTdtI8D6FMzX11fZ5qg24tAfZ3n651hSc030bN2EVXMG4uVu/RuvlTbCYCCnsLBetRFFQ7UMBgOxsbF2/x4B0kY4oo0wGAxERUU55HsE1J02Qr5HWNXlXAMq30ZURqWT2eTkZB544IEytz344IOsX7++ypW5laIvYvn5+WzevJnAwEAAJkyYwO23387rr7+uJLNFr7333nt55513ABgzZgytW7fmzjvv5LvvvuPRRx+96bGMRiMlhxJbLBblS6GxjFkNjUZjmUlCUX1u9YWyouWWrFPxck0mU5nlWiyWMu/mmEwmZd9u3brZ/IFVpNybnWvxckuea/H3sKxyi861rKcFFS23rsSmvHM1GAwYjcYyxwAUP9eqlGswGMrcVrzcwMBAmw+h4uda2ZhX9D0sa//idSqpvHMtLCzEbDbbfKkoq9yqvodlTSdQ0XLryt9h8bJKfogXlVuRNqIqbY+0EbXfRhgMBnbt2qUsoZOYmEiTJk0YMmQIs2bNIiwsrNQX+oq2EWX9/du7jbiWVcAL4fGk5poIaOLClw+F4Nvoz7/VGm8jduyAJ5/E+YMPMPzvi1V9aCO6d++uJGKO+h4hbYT92oiePXsC1hteBoPBYd8j6kIbUbJOJTWE7xFF8QbrDYH6mmtUttzKqHQy261bN+WOQkkpKSl06dKlWhW6maK7ND169FASWbCOt500aRJvvfUWV69epWXLlsprJ02aZFPGpEmTcHJy4ujRo7c8lqura6mG0MnJSQlU8TsWxfe5WRcAZ2dnZVtZjU5Fyy1Zp+LllnUhurm5YbFYyizXxcVF2dfd3d3mTlZFyi3+/5uVW/Jci7+HZZVbdK5lfQhVtNy6EpvyzrXoPMt7D6tSbtHYiluVWzLmxc/1ZuVW9z0s71xLKu9c3d3dMZlMtfIems3mcq+b+tZGlIx3UbkVaSOq0vYU///NypU2ovJtxI0bNwgPDyc8PJx9+/aRnZ1N+/bt0Wq1aDQaBg4cqNxFb968eZnlVqSNKOs9tmcbkZFr4MFVh0jKNNCysQuLx/rTwtv2b7hG24i8PHjySbhwgUYaDU2/+IKcgQPrRRvh7u7u8O8R0kbYr40oasvd3d0xGo0O+x7h6DairDqV1BC+RxT/7Hb09wh7thGVUenZjDds2MDzzz9PeHi4TfeDEydOoNVqWbp0KdOnT69yhW42m7HRaMTX15cuXbooXTaK/OMf/+Dtt9/m2rVr+Pn58dZbb7FgwQJ++uknm7rk5+fj5eXFU089xYoVKwCZzVgIIUTdlpCQoMw+/Ouvv2I0GgkJCVEmcOrXr1+9Gf9aETkFRmatOsSxxBv4N/Fg3eNDCfJrXP6O1ZGcDH/5C+zdCyNGQEQEyPcAIYSwq1qbzbjkml1Go5H+/fvTq1cvZQKomJgYAgIC+Oqrr6qVzN60oq6uaLVafvzxR+Lj45W++BaLha1bt9K5c2dlnML06dN55ZVX2LJli01dtmzZgsViKXc2ZCGEEMJRLBYLR48eRafTodfriYqKws3NjTFjxrBs2TLCwsJKjRVsKPINJh77+gjHEm/g28iNrx8ZVPuJLEBAgDWBXbUKhg+XRFYIIeqJCj2ZDQoKqvBdXycnJ2JjYytdkS1btpCTk0NWVhYPP/wwd999N/fccw8AU6dOxcvLiwsXLnD77bfTqlUrFi5ciI+PDytXrmTDhg2sXbuWu+66Synv2Wef5eOPP+bvf/87U6ZM4ezZs/zzn/8kKCiIgwcPKo/t1f5kNiMjQ1leqeQYStEwSczVReJdPxQUFLB79270ej16vZ6kpCSaNm1KaGgoGo2GyZMn20wUcjP1Od4Gk5mnvj3KjpNXaOzuwrdzh9C/fdPyd1S5+hxzUXkSb3VRW7yrkpdVuptxbQkKClLG+ZQUFxenPImNjo5m/vz57NmzB4PBQP/+/XnllVeYNm2azT4mk4klS5awcuVKEhIS8PPz48477+TNN9+0mcFO7clsVFSUMqNgyZnRRMMkMVcXiXfdVbR8jk6nY+vWrWRnZxMUFIRWq0Wr1TJ8+PCbjo+6mfoab7PZwovrovj5WBLurs589deBDOvsV/6Oot7GXFSNxFtd1BbvWutmbA9FU2eXp3fv3mzcuLHc17m4uPDyyy/z8ssvV7NmQgghRM2IjY1Vxr/u3bsXk8nEwIEDmT9/PhqNht69ezeo8a8VYbFYeFUfzc/HknB1duLj+0Psk8gmJcHf/w7vvgsllmIRQghRP9SZZFY4Rps2bW46a51omCTm6iLxdiyz2cyRI0eU8a/R0dG4u7szbtw4/vOf/xAWFlZqjcLqqI/xfm/bGb45mIiTE7x/Tz/GB7eyz4Gfew5++gk2bYKff4YSKyDUF/Ux5qLqJN7qIvEuX4W6GTs7O1dqzGxZaxjVVWrvZiyEEKJm5efn88svv6DX6wkPDyclJYXmzZszbdo0NBoNkyZNwtvb29HVrBM+ibjAO1tPA/Dm9D7cP7iDfQ589SqEhFifzvr7w+nTUMZSRkIIIeyn1roZv/rqq6rr9iSEEEJUVGpqKps2bUKn07Ft2zZyc3Pp0qUL999/PxqNhmHDhpW5Dp+afX0wQUlk/zGlh/0SWYCWLeHkSfjnP2HoUElkhRCinqozE0A5ijyZFUIIURXnzp1Tug/v378fi8XC4MGD0Wq1aDQaevbsKTeCb+LnY5d4YW0UFgs8M6YLL03q7ugqCSGEcLB6PQGUEEIIUZeZTCYOHTqkTOB0+vRpPD09mTBhAp999hnTpk2jdevWjq5mnbc95jIvrTuBxQJzhgXx4sRujq6SEEKIeqpCyezatWuVNV8rKjk5mbi4OO64444qVUzYR3R0NIWFhbi7u9O7d29HV0fYgcRcXSTe1ZObm8vOnTvR6XRs3LiRq1ev4u/vz7Rp03j77bcZP348jRs3dnQ1FXU93vvPp/LMd8cwmS3MDGnHq9OC7ff02mCAjz6CJ58ELy/7HNMO6nrMRc2SeKuLxLt8FepL+/TTT9O/f39WrlxJZmbmLV8bGRnJ008/TdeuXYmKiqqRSoraYzKZMJvNmEwmR1dF2InEXF0k3pV35coVVq1ahVarxc/PD61Wy/79+5kzZw779u0jJSWFL7/8Eq1WW6cSWajb8Y5MSGfuf49QaDIzqVcr3pnZB2dnO3bD/uADeOkl6N0b9u6133FrWV2Ouah5Em91kXiXr0JPZs+fP8/ChQv529/+xjPPPMNtt91GSEgILVu2xNPTk+vXr3PhwgUOHjxISkoKvXv35qeffmJSPZ3mXk08PT1xcXHBzc3N0VURdiIxVxeJd/ksFgunT59Wug8fPHgQgDvuuINFixah0Wjo3r1+jOmsq/E+mZzJX1cfJrfQxIiT97M5AAAgAElEQVSufnx03224uthxborsbHj7bevP8fHg4WG/Y9eyuhpzUTsk3uoi8S5fpSaASk9PZ/Xq1WzevJmDBw+Sm5urbOvUqROjR4/mgQceYMyYMbVS2dogE0AJIYT6mEwmfvvtN2UCp3PnzuHl5cXEiRPRarWEhobi7+/v6Go2CHGpOdz96W+kZhcyILAZXz8yCC93B0zZceYMPP449OsHy5bZ//hCCCFuqSp5WbVmM87IyCAvL48WLVrU2zsGkswKIYQ6ZGdns2PHDmX8a1paGq1atUKj0aDRaBg3bhyNGjVydDUblKQbedzz6QGSbuQR3MaH/3tsCL6NHPh9wWKBwsIG9WRWCCEaCrvPZuzr64uvr291ihBCCCFqTUpKCuHh4ej1enbu3ElBQQHBwcE89thjaLVaBg4cKDcva8m1rAIeXHmIpBt5dPJvzH8fGeTYRBbAyUkSWSGEaEBkaR4hhBANhsViISYmRhn/evjwYZydnRkxYgRvvfUWYWFhdOnSxdHVbPAycg089OVhYlNzaNu0Ed88Mhg/bwckkQcPwuDB1iRWCCFEgyPJrMpdunQJk8mEi4sL7dq1c3R1hB1IzNVFDfE2Go3s27dPGf8aGxuLt7c3kydP5plnnmHq1Km0aNHC0dW0i7oQ75wCI3/96jCnUjLx8/bgm0cHE9DUAd23f/0VRo+GiRPhk0+gUyf718EO6kLMhf1IvNVF4l0+SWZVLi0tDYPBgJubm1wkKiExV5eGGu+srCy2bt2KXq9n06ZNpKenExAQoIx/HTNmDJ6eno6upt05Ot75BhOPfx3J0cQb+DZy45tHB9HRzwHLFxkM1smeALZvh61b4amn7F8PO3B0zIV9SbzVReJdPklmhRBC1AuXLl0iPDwcnU7H7t27KSwspG/fvjz99NNotVpCQkJUO/41Li6OTz75hA0bNpCbm0vbtm15+umnuffee/Gw0xhRo8nMc/93jH3nU/Fyd+Grvw6kR2sfuxy7FDc3eO89ePppaNsWnnjCMfUQQghRq6o1m3FDoPbZjHNzc7FYLDg5OeHl5eXo6gg7kJirS32Ot8Vi4cSJE0r34cjISFxcXBg1ahRarZawsDA6duzo6Go63Jo1a5g7dy4Gg6HUtj59+rBlyxbatm1bq3Uwmy28tC6Kn44l4e7qzFdzBjKsi1+tHrNCsrLg+nUIDHR0TWpNfb7GReVJvNVFbfG2y9I8nTp14ueff6Zfv36ltkVHR6PRaIiNja1MkQ6l9mRWCCHqEoPBwK+//oper0ev15OQkICPjw9TpkxBo9EwZcoUmjVr5uhq1hk7d+5k4sSJFH2UOzs706RJEzIyMpTX9O3bl99//x13d/daqYPFYuE1fQz/PZCAi7MTn84awITgVrVyLCGEEA2XXZbmiY+Pp6CgoMxt+fn5JCQkVLZIIYQQKnbjxg22bt2KTqdjy5YtZGRk0L59ezQaDVqtllGjRtVaIlbfLVq0SElkH330Uf7973/j7+/Pvn37mD17NnFxcZw4cYKffvqJv/zlL7VShyXbz/DfAwk4OcHSe/rZL5G9eBGuXbP9XXY2eHtbf27ZEmSMmRBCNGhVGjPrdJMp7mNjY2nSpEm1KiSEEKLhS0hIUJ6+RkREYDQaue2223j++efRaDT079//pp81wio2NpZ9+/YB0LNnTz777DPl7vWIESP44osvGD9+PGDtilwbyeynv17gP7svAPDGnb3R9q/d7syKggIYOBCuXLn5a1q3hvh4WVdWCCEasAols2vWrGHNmjXKv5988kl8fGwndcjLyyMqKopRo0bVbA1FrcrJyVH64jdu7IAZJ4XdSczVpa7E22KxcPToUWX916ioKNzc3BgzZgwffvghGo2G9u3bO6x+9VHxnlBTpkzB2dnZJt5jx47Fw8ODgoICEhMTa/z43xxM4O0tpwGYP6UHDwy247hUd3fo0MH6ZNZsLvs17dtbX9fA1ZVrXNiHxFtdJN7lq1Aym5uby7X/deVxcnLixo0bpboae3h4cO+997Jo0aKar6WoNefPn1em/C5rHLRoeCTm6uLIeBcUFBAREaE8gb106RJNmzZl6tSpLFiwgEmTJuHr62vXOjUkxXtCnT17FrCNd7NmzZTP6pruNaU7nsS/dNEAPD2mM0+M6lyj5ZfLyQkWL4bJk2/+msWLra9r4KRNVxeJt7pIvMtXoWT2ySef5MknnwSgY8eOrF+/Xt5QIeqhxMREjh49ipubGz169HB0dUQDdP36dbZs2YJOp2Pr1q1kZWURFBTEzJkz0Wg0jBgxAjc3N0dXs0Ho168fAQEBJCcns2nTJnbu3Im/vz9gnUhr3rx5ymunTp1aY8fdcfIKL6yNwmKB2UMDeWli9xoru1ImTrR2NT56FEymP3/v7AwDBli3CyGEaNAqPWY2Li6uNuohHMTf3x+TyYSLi4ujqyJq0d69e1m4cCG7du1SfteyZUueeeYZXn75ZZlcpwGzxzUeFxenLJ+zZ88eTCYTAwcOZN68eWi1Wnr37i3jX2uBm5sbzzzzDAsWLMBisTBhwgRGjx5N+/btiYiI4OLFiwA0atSIuXPn1sgx959P5envjmIyW5hxW1teC+vluNgWFsKiRVAyUTebVfNUFuRzXG0k3uoi8S5fldeZvXr1KgkJCeTl5ZXaNnLkyGpXzF5kaR7R0K1fv557770XU/EnF8VMnDiR8PBwSWhFhZnNZo4cOaKMf42Ojsbd3Z1x48ah0WgICwur9XVNhZXBYGDGjBls3LixzO2urq788MMPzJgxo9rHOpqYzqyVh8gtNDExuBUfPxCCq4uDPisvXIB774UZM2DDhj+fzrq4QEgIHDqkmmRWCCEaCrusM5uSksKDDz7I7t27S20rGqB8sy/NdZEks6IhS0lJoXPnzspNp86dOzNt2jTi4uLYuHEj5v9NnLJw4UJee+01R1ZV1HH5+fns2rULnU5HeHg4KSkpNG/enNDQULRaLRMnTpTZ7B3EYDDw4Ycfsnz5cuVpLMDkyZN59dVXGTp0aLWPcSolk3s/O0BmvpHhXfxYNed2PFwd9KTg+nXo0gXS061dit99F1566c/tW7fCpEmOqZsQQogqs0syO3PmTCIiIvjHP/5B37598Shjyvv6NKOxJLOiIXv99deVJPUvf/kL33zzjdJVZe/evYwePRqz2UyrVq1ITEyUp7PCRmpqKps2bUKv17Nt2zZycnLo3LkzWq0WjUbDHXfcgatrlVZ4E7XAZDJx6tQpsrOz6dChAwEBATVSblxqDnd/eoDU7AJCOjTlm0cH4+Xu4Li/9hq8/jp07Qpr18Jjj8Hvv1vH0MpTWSGEqJfsksz6+fnx3nvv8de//rVqtSxDVlYWixcv5vjx4xw7dozU1FRee+01Fi5cWOq1BoOB5cuXs3r1as6fP4+HhwfBwcEsWbKEYcOGlVn+zp07mTBhAgDXrl3Dz89P2SbJrGjIhg4dysGDBwHrMh4dOnSw2T5jxgx+/vlnAA4ePMjgwYPtXkdRt5w7d07pPrx//34sFguDBw9Go9Gg1Wrp2bOnjH9VkeQbedz96QGSbuTRs40P3z82BN9GdWACL5MJ3nkHnn0WmjSBnTvhuefgo4/gf2vrCiGEqF+qkpdV+taqk5NTja8FmJaWxueff06/fv248847WblyZZmvM5lMTJ8+nX379jFv3jyGDRtGTk4OkZGR5OTklLlPdnY2c+fOVWZ8FLZOnz6tTPkts9s2PEXXhZubG+3atQNsY96585/LaWRnZzukjqJ2lXeNm81mDh06pEzgdOrUKTw9PRk/fjyfffYZ06ZNo3Xr1g6ouaiKmmzTU7MLmLXyEEk38ujk15ivHxnkmER23Trw9bWdndjFBRYs+PPf48fDyZP2r1sdIJ/j6iLxVheJd/kqnczefffdbNy4kfE1eOczMDCQ9PR0nJycSE1NvWkyu3z5crZs2cL+/fsZMmSI8vvQ0NCblj1//nyaNWtGaGgob7zxRo3VuaEoKCjAYDAoYydFwxIYGMgff/yBwWBg+/btTJ48WYm50Whk06ZNymuDgoIcV1FRa8q6xnNzc9m5cyd6vZ7w8HCuXr2Kn58fYWFhvPnmm0yYMEEWZ6+naqpNz8gz8NCqw8Sm5tC2aSO+eXQwft6lhxXVKoMBnn8e/vMf8POD48dBJhYrRT7H1UXirS4S7/JVKJk9evSo8vM999zD3LlzMZvNhIWF0aJFi1KvDwkJqVQlKtplbdmyZYwcOdImkb2VvXv38vnnn3Pw4EH0en2l6qQWrq6uWCwWGffWQM2ePVuZ5fSxxx5j5cqVBAQEcPXqVT7++GNOnToFwPDhw22e0oqGo+gaz8jI4Msvv0Sn07Fjxw7y8vLo3r07s2fPRqvVMmTIEJn6vwGoiTY9t9DIw1/9zsmUTPy8Pfjm0cEENG1Ug7WsIBcXSEiw/pyaCv/9L/zjH/avRx0nn+PqIvFWF4l3+So0ZtbZ2dkm4SzapWQSWhOzGaempuLv719qzOzFixfp0KEDzz77LN7e3qxatYq0tDS6d+/OvHnzmD17tk05eXl5Srfld999l4ULF7Jo0aIKjZlNTEwkMDAQHx8f5XcFBQWcPn0agGbNmpUae3ju3Dlyc3MB60L2Jc8pKSkJgA4dOtCsWTNlm8lkIjo6GrD2Ce/UqZPNvnFxcWRmZgLQq1cvmz/mGzdukPC/D/qAgAD8/f1t9j1x4gQWi4VGjRrRrVs3m20XL17k+vXrAHTv3h1PT09lW3Z2NhcuXACsa5G2adPGZt+TJ08qXR6Cg4NttqWkpHD16lXAOnOut7e3si0/P58zZ84A0Lx581Ld1c+ePUteXh5OTk707dvXZtu1a9eUbuKBgYE0bdpU2WY0GomJiQHAx8eHjh072uwbGxurxLh37942X9jT09NJTEwEoG3btjZ/GwBRUVEAeHl50bVrV5ttiYmJpKenA9CjRw+bydAyMzOVNZlbtWpVqptmTEwMRqMRDw+PUt1GkpOTuXbtGgBdunSxeUKWm5vLuXPnAGjRooXSdbjImTNnyM/Px8XFhd69e2M0GhkyZAiRkZHKazw9PcnPz1f+7ezszKZNm5Q4+/r6lnpKe+HCBaUbcp8+fWzGLqSlpXHp0iUA2rVrZ3ODy2w288cffwDg7e1dKmGOj48nIyMDgJ49e9pMQJWRkUF8fDwAbdq0oWXLljb7RkdHYzKZ8PT0pHv37jbbLl26RFpaGgBdu3bFy8tL2ZaTk8P58+cB6/ptJSfJOX36NAUFBbi6utKrVy+bbZcvX+bKlSsAdOzYsc63EYcPH+a7774jIiKCEydOADBs2DBlAqeCggJpI1B3G1Hc1atXSbyUzBt7Ujl+uQAfT1d+eHwoPdv4UFhYqNz8smcbkXjsGC2nT+faQw/R6pVXcC/2HkobYSXfI/4kbYRVbbYRKSkpgLU3l6+vr7LNUW2EfI+waihtRK2NmV29enVFXlarigK0Zs0a2rVrx4oVK/D19eWLL75gzpw5FBYW2iwK/69//QuTycSiRYsqfSyj0UjJHN9isWAwGJTtZe1TtL0ks9msbCurm0BFyy1Zp+LllnUDwWAwYLFYcHMrPcbJZDJVq9ybnWvxckuea/H3sKxyi861rCf1FS23rsSmvHMt6uZb1sV5q9hUpFyDwaBsc3V1ZePGjYSGhio9LIonsu7u7qxatYqxY8cqyU5lY17R97Cs/Yufa0nlnWthYSFms7nMp4k18R6WdZ+vouU66u/QaDRy4MAB9Ho9er2es2fP4uHhwdChQ1m6dCn333+/zYd5ZGSktBGou40orsBg5N191kS2kZszXz08iJ5tfGz2La/cslT4PczOhpQUKJb4GHx8iPn+eyyurrQq4wa6tBF/1qki5cr3CGkjqtNG3Krcon3LK7cs8j2idLl15e/QUW1EZVQomS351NMRigKTn5/P5s2bCQwMBGDChAncfvvtvP7660oye/jwYT788EO2bt1Ko0aV7xrl6upaqiF0cnJSAlXWo35XV9cyAwnWJ19F28pqdCpabsk6FS+3rAvRzc3tpl0TXFxcqlVu8f/frNyS51r8PSyr3KJzLetDqKLl1pXYlHeuRedZ3ntYlXJNJpPNttatW3Pw4EG++uor1qxZQ3JyMr6+vkydOpXHH3+cDh06UFhYWG651X0PyzvXkso7V3d3d0wmU628h2azudLXjaP+DgsLC9m7dy8RERH89ttvpKam0qpVK8LCwli0aBEdO3bE09OzzDuq0kbYllsWNbQRAGazhbd+SeRwcgGuzrDsrmBCOjQrte+tyq3Oe+iemEjQ/Png5QX79sH/nlC5uLjgepPPcWkjbOtUkXLle4S0EVVtI8ort2jfW5Ur3yOkjahouZVR6aV5atvNuhmfOXOGHj160LdvX6XLRpEFCxbw1ltvceXKFVq2bEnv3r0JDg7m888/V17z9ttv884773DhwgX8/f1p0qQJIEvzCCHqn5SUFDZu3IhOp2Pnzp0UFBQQHBysdB8eNGiQtGGiwiwWCwv1Maw5kICLsxOfPBDCxF52nMHaYrGuD1s0HOL552HpUvsdXwghRJ1gl6V5Hn744Ztuc3Z2pmnTpgwcOJDp06fb9Fuvrs6dO9v0Vy+uKB8vOtGYmBhiYmJYt25dmeX069eP48eP11jd6rPLly8rd+Bk+Q11kJjXPxaLhZMnTyrL5xw6dAhnZ2eGDx/Om2++iUajoUuXLmXuK/FWl6rE+/3tZ1lzIAEnJ3j/7n72TWQBnJxg5UoYMgSCgmDOHPsev56Ta1xdJN7qIvEuX6WT2d27d5ORkcGNGzdwdXWlRYsWpKWlYTQaadq0KRaLhaVLl9K9e3ciIiJo1apVzVTU1RWtVsuPP/5IfHy8MrDcYrGwdetWOnfurAy63717d6n9i7pYbtiwgbYytb/iypUryiQMcpGog8S8fjAajezbtw+9Xo9OpyM2NpbGjRszefJknnrqKUJDQ8ucTb4kibe6VDben/16gRW7rROZLNb25s7bHPT52L8/bNoEgwdDsQl/RPnkGlcXibe6SLzLV+lkdv369UyfPp1PPvmEu+66CxcXF0wmE+vWrePll19m3bp1GI1GZsyYwYIFC1i1alWFyt2yZQs5OTnKo+WTJ0/y448/AjB16lS8vLxYvHgxW7ZsYfLkySxcuBAfHx9WrlxJVFQUa9euVcoaPXp0qfIjIiIAuOOOO0rNNCeEEHVBVlYW27ZtQ6fTsWnTJtLT02nTpg0ajQatVsuYMWNsZgMUojq+PZTAW1usM2e+PLkHs4YE2ufAP/wA+/fDRx/Z/n7cOPscXwghRINR6TGzo0ePZubMmTz77LOlti1btox169axb98+PvjgA5YsWaLMQlyeoKAgZernkuLi4pQnsdHR0cyfP589e/ZgMBjo378/r7zyCtOmTbtl+ZVZmkdNY2YzMzOVJZWKTw8uGi6Jed2SlJSkzD68a9cuCgsL6dOnjzL+dcCAAdVqjyTe6lLReOuOJ/H3H45jscBTozszb3KPm762Rr30Erz/vvXnNWvgoYfsc9wGTK5xdZF4q4va4l2VvKzSyWzjxo3R6/WMK+MO6i+//IJGoyEnJ4fdu3czefJkCgoKKlO83ak9mRVC2JfFYuHEiRNK9+HIyEhcXFwYNWoUGo0GjUZTao1DIWrSzpNXePybSExmCw8OCeR1ba8yZyatFd9+C7NmWX9+7DH47DP7HFcIIUSdZ5cJoHx8fNi9e3eZyeyuXbuUuwZ5eXnKjMFCCKFmBoOBPXv2KBM4JSQk0KRJE6ZMmcILL7zAlClTbBY4F6K2/HYhlae+O4rJbGH6bW1ZpLFjIgvwwANw6JB1jOxf/2q/4wohhGiQKp3M3n///bzzzjtYLBbuvvtuWrVqxZUrV/jhhx94//33+dvf/gZAZGQkPXv2rPEKCyFEfZCRkcGWLVvQ6/Vs3ryZjIwM2rVrp3QfHj16dI3O+C5EeY4lpjN3zREKjWYmBLfivbv64uxci4lsXp41cS05j0XJsbJCCCFEFVW6m3FhYSFz5szh+++/t7mba7FYuO+++/jqq69wc3Nj586d+Pj4MGjQoBqvdE1SezfjgoICpS++x/8WqRcNm8S89iQmJirdhyMiIjAajdx2223KBE79+/e371MwJN5qc7N4n76cyb2fHSQjz8AdXVqwavZAPN2qt1D9LZ09C3ffDadPw4EDEBJSe8dSObnG1UXirS5qi7ddxswWOXXqFL/++itpaWm0aNGCkSNHEhwcXJWiHErtyWxUVJQy5Xe/fv0cXR1hBxLzmmOxWDh27JiSwB4/fhw3NzdGjx6NVqslLCyMDh06OLSOEm91KSve8ak53PXpAVKzCwjp0JSvHxlMY49Kd8yqnJdfhnfftf7cpw8cPw4q+Vy1N7nG1UXirS5qi7ddxswW6dmzp3QjFkKoTmFhIREREcr410uXLuHr60toaCjz589n8uTJ+Pr6OrqaQgCQfCOPB1YeIjW7gJ5tfFg9Z1DtJ7IAixfD7t2QlQXffSeJrBBCiFphh080UZc1a9YMo9GIq6v8KaiFxLzy0tPT2bx5M3q9ni1btpCVlUVgYCAzZsxAq9UyYsQI3NzcHF3NMkm81cNkthCf68bVLDMtm7jROjOfWasOkXQjj05+jfnvw4Pw9aqlv1OTCVyKdVt2d4cNG8DHB7y9a+eYApBrXG0k3uoi8S5fhboZu7i4cODAAQYNGoSzs/Mtx3w5OTlhNBprtJK1Se3djIUQZYuLi1O6D+/ZsweTycTtt9+ujH/t06eP3ce/CnEzW6NTWBR+kpSMfOV3rs5OGM0WAnw9WffkMNo2bVQ7B//uO+uT2L17odg67kIIIURl1Fo341dffZV27dopP8sXOCFEQ2M2m4mMjFS6D//xxx+4u7szbtw4VqxYQVhYGG3btnV0NYUoZWt0Ck9+c5SSd6aNZutvHhvVqfYS2WXL4O9/t/48ezaEh0uXYiGEEHZT5QmgGgp5MiuEeuXn57Nr1y70ej3h4eEkJyfTvHlzQkND0Wg0TJo0SdbLFnWayWxh+Du7bJ7IltTG15N9L4/FpTaW4UlOtq4Ze+0azJkDn34KKphxUwghRM2z6wRQQghRH6WmprJ582Z0Oh3btm0jJyeHTp06ce+996LVarnjjjtkbIqoNw7HXb9lIguQkpHP4bjrDO3couYrEBAA334LSUnWZFYIIYSwoyp9Yzt9+jSLFi0iIiKCtLQ0Dh48SEhICIsWLWLkyJGMGTOmpuspasm5c+eUgeVdu3Z1dHWEHagx5ufPn1e6D+/btw+z2czgwYN55ZVX0Gg0BAcHN9jhE2qMt5pczrx1IlvkalbFXndLeXnwn/9YuxUXv+EzYUL1yxZVJte4uki81UXiXb5KJ7PHjx9nxIgRNGnShNGjR7N27VplW3Z2Np9++qkks/VIbm6usn6VUAc1xNxsNnPo0CFlAqdTp07h6enJ+PHj+fTTTwkLC6N169aOrqZdqCHeamQ0mQk/kcx7W89U6PUtm3hW74CnT8M998Aff0BGhnXCJ1EnyDWuLhJvdZF4l6/Syez8+fPp27cvO3bswN3dnR9++EHZNmjQINavX1+jFRRCiIrIy8tj586d6HQ6Nm7cyJUrV/Dz82PatGm8+eabTJgwgcaNGzu6mkJUS6HRzM/HLvFxxAUS0nIBcIJSkz8VcQJa+3oyqGPz6h34+nU4edL684cfwrPPQsuW1StTCCGEqKZKJ7P79+/nm2++wcvLC5PJZLOtVatWXL58ucYqJ2pfv379HF0FYWcNKeZXr15l48aN6PV6tm/fTl5eHt26deOhhx5Co9EwdOhQXIqvfalCDSneapZvMLEu8hKfRlwg6UYeAM0bu/PI8I4E+HrywtoowDapLeo4/1pYcPUnfxo2DN58E/77X1i7VhLZOkSucXWReKuLxLt8lU5mLRYL7u7uZW5LT0/HQ2YxFELUojNnzqDT6dDpdBw4cACAYcOGsXDhQrRaLd27d3dwDYWoOXmFJr47nMjney5wJbMAAP8mHjw+shP3D+6Al7v1Y7yRu0updWZb+3ryWlgwk3u3qfyBr10Df3/b3730kvWJbKNaWuZHCCGEqKRKJ7N9+/bl559/ZsqUKaW2bd26lQEDBtRIxYQQAsBkMnHgwAFl/OvZs2dp1KgREydOZNWqVYSGhtJSnhKJBia7wMjXBxJYuTeWtJxCwLrEzhOjOnPvwPZ4utn2OJjcuw0TgltzOO46V7PyadnE2rW4Sk9kv/4annzS+v/p0//8vbOzJLJCCCHqlEons3/729+4//77ady4MQ8++CAAiYmJ7Nq1iy+//JIff/yxxisphFCXnJwcduzYoYx/TU1NpVWrVoSFhbFkyRLGjRuHl5eXo6spRI3LyDOw5rd4vtwfx41cAwDtmzfiqdFdmBnSDnfXm6+15+LsVP3ld3btgocesv7817/CbbdBUFD1yhRCCCFqiZPFYrnZvBE39eabb7Jw4UJMJhMWiwUnJydcXV1ZtGgR8+fPr4161pqqLM7bkKSmpmI2m3F2dsbPz8/R1RF2UFdjfvnyZcLDw9Hr9ezcuZP8/HyCg4PRaDRotVoGDRqkmuuyJtXVeAtb13MK+XJfHGt+iyerwAhAJ7/GPDWmC9r+Abi5VOxvv9rxtljg3nth3Tp4+GFYvhzkxlGdJte4uki81UVt8a5KXlaldWYXLFjAQw89xLZt25QZQydNmkRgYGBVihMOlJSUpEz5rYaLRNSdmFssFk6ePKl0Hz506BDOzs4MHz6cN954A41GI2uq1YC6Em9RtqtZ+azcG8c3BxPILbROqtitlTfPjO1KaJ82le4mXO14OznBF1/AXXdZl+IRdZ5c4+oi8VYXiXf5qpTMArRr145HHnmkJusihGjgjEYj+/fvR6fTodfruXDhAo0bN7iuQt8AACAASURBVGbSpEmsWbOGqVOnSmMtVOFyRj6f/nqB/zucSIHRDECvAB+eHduVicGtcK7u7MMVkZtrndTpueegR48/f+/rK4msEEKIeqHSyezAgQOZMGEC48aNY/jw4TJ7cT3XoUMHpfuCUAd7xzwrK4tt27ah1+vZtGkT169fp02bNmg0Gj766CPGjh2Lp6enXeqiRnKN1y0Xr+fyya8X+PHIJQpN1iS2f/umPDeuC2O6t8TJqXpJbIXjnZAAoaEQEwN798KhQ9KduJ6Sa1xdJN7qIvEuX6XHzGo0Gvbs2UNmZiaenp7ccccdjB8/nvHjx9fLmYzVPmZWiNqQlJREeHg4Op2OXbt2UVhYSJ8+fZTxrwMGDJBrTKhKXGoOH+8+z8/HkjCarR+7gzo257mxXbmjS4tqJ7GVlpsLgwZZk9nGjWH7dutaskIIIYSDVCUvq9IEUCaTiUOHDrFz505++eUXDh48iNFopFmzZowdO5a1a9dWvvYOIsmsENVnsVj4448/lO7DR44cwcXFhZEjR6LVagkLC6NTp06OrqZQiYKCAk6dOkVhYSGdO3emRYtqzvBbDeeuZLFi93nCo5L5Xw7LiK5+PDOmC4M7Oa5eAJw6ZZ3kafVq227GQgghhAPYLZkt6fDhw7z66qts374dJycnTCZTdYu0G0lmhagag8HAnj170Ov16PV64uPjadKkCVOmTEGj0TB16lSaNWvm6GoKFcnKyuLf//43K1euJC0tDQBXV1dmzJjBokWL6GHHhC0mOYMVu86zNeYyRZ+y43q05OmxXQjp4IDr4tQpaNsWfHxsf2+xWCd9EkIIIRzMbsns5cuX2blzJzt27OCXX34hJSWF9u3bM27cOMaPH899991X+do7iNqT2eI3HlxcXBxYE2Ev1Yl5RkYGW7duRafTsXnzZjIyMmjXrp3SfXjUqFEyjr6OUcs1npGRwdixYzl69GiZ2318fNixYweDBg2q1Xocv3iDFbvOsfPUVeV3k3u15pmxXejd1rdWjw03ifeaNfDUUzBtGnz/vSSvDYxarnFhJfFWF7XF2y7JbJ8+fTh58iTNmjVj9OjRjB8/nnHjxlVrCY2srCwWL17M8ePHOXbsGKmpqbz22mssXLiw1GsNBgPLly9n9erVnD9/Hg8PD4KDg1myZAnD/jfeJzIyki+//JI9e/YQHx+Pl5cXffr0YcGCBYwdO9amPLUns1FRUcqU3/369XN0dYQdVDbmiYmJyvjXiIgIDAYD/fv3R6vVotFouO222+w/3k9UmFqu8YcffpjVq1cD4ObmRlhYGM2bN0en03Ht2jXAOgt/0edGTfs9/jof/XKOvedSAXB2gml9A3h6TBe6t25S48ezcfEi/O8cz549i9FoxNXVlW7dukF6OkyfDkWfc998Aw88ULv1EXallmtcWEm81UVt8bbLOrMxMTE0atSIu+66i8mTJzN27Fh8SnZbqqS0tDQ+//xz+vXrx5133snKlSvLfJ3JZGL69Ons27ePefPmMWzYMHJycoiMjCQnJ0d53f/93/9x+PBhHn74Yfr160dOTg6ffvop48aNY82aNTz00EPVqq8QDZnFYuH48ePK+Ndjx47h6urKmDFjWLp0KRqNhg4dOji6mkIorl27xrfffgtYP/QOHDhAr169APjggw+YOHEiBw4c4NKlS6xfv57777+/Ro5rsVj47UIaH/1yjkNx1wFwcXbizv5teXpMZzr5e9fIcW6poAAGDoQrVwDoVtZrmja1/n/uXJgxo/brJIQQQthJpZPZI0eOsHPnTnbu3Mn999+P0Wjk9ttvZ8KECUyYMIGhQ4dW+jF4YGAg6enpODk5kZqaetNkdvny5WzZsoX9+/czZMgQ5fehoaE2r5s3bx5Lliyx+d3UqVMJCQnh9ddfl2S2mCZNmih38YU6lBXzwsJCIiIilPGvFy9exNfXl6lTp/Lyyy8zefJkfH1rv4ukqHlquMZ/+eUXCgsLAXj00UeVRBbA29ubxYsXM378eAC2bNlS7WTWYrEQcfYay385x9HEGwC4uThx14D2PDmqMx1a2HGJG3d36NDB+mTWbC693dkZunaFjz+G22+3X72E3ajhGhd/kniri8S7fJV+Z0JCQggJCWHevHkUFBSwb98+duzYwcaNG3njjTfw9vYmIyOjUmVWtIvismXLGDlypE0iW5aWLVuW+p2LiwsDBgxQ7t4LK5lhVn2KYp6ens53332HTqdjy5YtZGVlERgYyPTp09FoNIwcORI3NzcH11ZUlxqu8eJdksoa8tKt25/PKzMzM6t8HLPZwo5TV1ix6zx/JFk/59xdnblvYHseH9WZgKaNqlx2lTk5weLFMHly2dvNZut2SWQbLDVc4+JPEm91kXiXr1pp/uXLl4mPjychIYGLFy9isVhsuvvWpIsXLxIfH09YWBgLFixg1apVpKWl0b17d+bNm8fs2bNvub/RaGTv3r02d+xvJiYmhsDAQJvu0wUFBZw+fRqAZs2alepmee7cOXJzcwFK9WlPTU0lKSkJsC5+XHyGV5PJRHR0NGC9+1LyjzYuLk758tWrVy+bOzM3btwgISEBgICAAPz9/W32PXHiBBaLhUaNGtl8mQPr+3n9urVbXPfu3fH09FS2ZWdnc+HCBcB6Y6BNmzY2+548eVLpvx8cHGyzLSUlhatXrROfdO7cGW/vP7vZ5efnc+bMGQCaN29O+/btbfY9e/YseXl5ODk50bdvX5tt165dIzk5GbA+yW9a1G0Oa2xjYmIA6yQvHTt2tNk3NjZW+bLbu3dvm54D6enpJCYmAtC2bVv8/Pxs9o2KigLAy8ur1JfkxMRE0tPTAejRo4fNOLzMzEzi4uIAaNWqFa1bt7bZNyYmBqPRiIeHR6kZVpOTk5Uxfl26dKFx48bKttzcXM6dOwdAixYtaNeunc2+Z86cIT8/HxcXF3r37m2z7erVqxw5coSIiAgOHTrEb7/9htFoZMCAAbzwwgv06tWLrl270rRpU4KCgmz2vXDhAtnZ2YB13HzxsQtpaWlcunQJsI5JLL4Mitls5o8//gCsT8g6d+5sU258fLxy86tnz564u7sr2zIyMoiPjwegTZs2pW5SRUdHYzKZ8PT0pHv37jbbLl26pMxm27VrV7y8/nxSlpOTw/nz5wHw9/cnICDAZt/Tp09TUFCAq6trqfbi8uXLXPlfd86OHTtKG0HdaCOKv9c//PAD9913n00bER4ervxc1gzb5bURcfEJHLiUx89n8jifmgdAIzcXZg3pwLAW+TRvZCLn2iVo6qA2YuJEa1fj33+3eZ3FxQWnkBCYOFH5XXltREpKCgBBQUE2vTEKCws5deoUAL6+vtJGSBtRr9oIkO8RRar7PULaCGkjiqutNqIyKp3Mrl+/XulmHBsbi8VioVu3btxzzz2MGzeu1ARLNaUoQGvWrKFdu3asWLECX19fvvjiC+bMmUNhYSFz58696f4LFy7k/PnzbNiwodxjGY1GSs6LZbFYMBgMyvay9inaXpLZbFa2mcvoBlbRckvWqXi5ZS2HZDAYsFgsZT5dM5lM1Sr3ZudavNyS51r8PSyr3KJzLetJfUXLrSuxKe9cDQYDRqOxzAHtt4pNRco1GAzKNrPZTGRkJHq9nvXr13Pq1Cnc3NwYOXIkH330EWFhYbRr147CwkJOnDiB0fj/2Tvv+Ciq7YF/N72QAikkEFKIlIRQpRfpHRJAVPQhBOT5xAZPfCCIAsIDRX2KKFioiiKCP6U3qdJFMJQAUhISSAgpJIT03Z3fH5Od7GY3lYSUvd/PZz+ZzL1z5945O3fnzDn3HHWZZV7aa2jqeP2xFqaksebm5qLVak0ua6iIa2gqNl5p260u30NzmSP69OmDl5cXd+7c4dChQyxatIjZs2fj4ODAli1bmD17tlI3NDS0yHaN9mu0bD2fwFe/3+F2utyfOrZWjO/qx8RuAbjVseX06dPk5WkfzRyh0cCuXTivX49VTg4xM2bI7RZhnVVpNPJ+vetVeI7QpziZ644trr9ijhBzRFnaFc8RNeM5orTt6o4tqV1TiDnCuN3q8j2sqjmiLJRZmX3qqafw9vamb9++zJ49m379+tGwYcOH6kRp0AkmOzubHTt24OfnB0D//v1p37497733XpHK7IoVK/jvf//LtGnTCAsLK/FcVlZWRhOhSqVSBGXKb93KyqpIl0wLCwulzNSkU9p2C/dJv11TN6K1tTWSJJls19LS8qHa1f9bVLuFx6p/DU21qxurqR+h0rZbXWRT0lh14yzpGpan3czMTP744w++/vprtm7dSlxcHHXr1qVv375MnDiRrl270qJFC6M1sCW1+7DXsKSxFqaksdrY2KDRaCrlGmq12jLfN9Xxe2guc4S1tTXTpk3jP//5DwCLFy/mk08+wdbWVrEEADzxxBO0bdu2yHZ15Kq1/N+ZWyw7eJ2YFPktuKO1in90aMAr/Vrg4lBQ95HPEeHh1ElKwt7BgTvTpxe0O2AAtGyJdPEiKq0WycKCvJYtsdGzyura1Wg0Js9ZnMz1xyrmCDFH6OrXlDmiLO1WF9lU5XOEmCPEHGGq3Uc5R5SFMqfmiYyMNHIJqUiSkpLw8PAwSs1z5coVmjdvTqtWrRSXDR2zZs1i0aJFJCQkGLkQrF69mkmTJjFp0iS+/PJLo4tp7ql5oqKilIXlhd1qBDWH5ORktm/fzpYtW9i9ezcPHjygcePGSvqc7t27KxONkLl5YS7yliSJ9957z2RKN4C+ffvyyy+/4ORUdJqc7DwNG0/H8uWhG9xOld2J6znaMKlHAM939sPJ7hGsIZckiIiArVvB3h7efNOwPDxczhtrawtHjhiuhd2929A6u2sXDBxY+X0WVCnmco8LZIS8zQtzk/cjSc1TmYpscQQGBhr4q+uj08cLD1SnyI4fP96kIiuQ12To1q0IahbXrl1jy5YtbN68mSNHjqDVaunUqRMzZ84kLCyM4OBgk995IXPzwlzkrVKpmDNnDiNHjmTZsmUcPnyY3NxcgoKC+Oc//8nQoUOLfPublavh+5M3+frwDe6m5wDg4WTLv55ozHOdfHGweYRRJDMzoXNnOeWOjw9Mm2bgJsyrr8KIEdC/P+itgwNgwAAyW7TA4eJF+W8hq6ygdmIu97hARsjbvBDyLpkaE+fZysqKsLAwNm3aRHR0tLKwXJIkdu3aRWBgoMGi+zVr1jBp0iTGjh3LihUrhCIrqPFotVpOnTql5H+NjIzE1taWfv368eWXXzJs2LCHWkAvENQGWrVqxZdfflmqug9y1Hx7PJqVv0eRnCGn9mngYsdLvQJ5un0j7KwfzvWpWBISYPt2cHCAMWMK9js6Qu/eslX11i2IjAT9ACLt2xcdmVilIv6112jwwQfEv/YageJ3TyAQCAS1nDK7GVcWO3fuJCMjg/T0dCZOnMhTTz3F008/Dcg5Yh0cHLh+/Trt27enfv36zJ07F2dnZ1asWMGvv/7KTz/9xOjRowHYuHEjY8aMoU2bNixdutTIYtu2bVslYpy5uxnrgl2pVCqRw6oakpWVxb59+9i8eTNbt24lISEBd3d3hg0bRmhoKAMGDDCIUlgahMzNgNhYOe8o+fIGVOitlfH0lK1+tRSNVuJUVAp307PxdLKjY0A9LC0KFLu0rDzWHI1m1dEo0rLkABS+9Rx4uVcgo9r5YGNVyfN/UhLUry+nzWnTBs6eNSzfvh2io2HYMMiPD1FaxP1tfgiZmxdC3uaFucm7PHpZtVFm/f39ldDPhYmKilIssRcuXOCtt97i8OHD5OXl0aZNG95++22GDRum1A8PD2ft2rVFnku/PXNXZgXVj7t37yrrX/fs2UNmZiZNmjQhLCyMsLAwunTp8tCL5QW1mJwcWQHKD/1vEi8vWVnSSwNRW9h1IZ55WyOJT8tW9nm72DFneDAdA9xYeeQG3x67SXqOHNGxsYcjr/R6jLA2DbCyrOB5PycHDh4EOzvo2dOwrH17+PNPeTsmBgqlGBEIBAKBwNyo0cpsVSGUWUF14MqVK8r612PHjgHQpUsXJYBT4RxyAkGRSBJ06iQrSibC82NhAY8/DidPGq7FrAXsuhDP5HVnKOpHzcbKgly1fE2a1Xfi1T6PMaSlt4HVtsKIiZHdgx88kCMN795tWL5iBURFwfDh0LGjLBeBQCAQCMwYocyWA6HMCqoCjUbDiRMnlPWvV65cwd7engEDBhAaGsqwYcOMInMLBKWmcFTbwtTCKLcarUT3D/YbWGRN0aKBE6/1acqA4PpYVIQSK0lw8aKsjOoHSJQk2UIeGws2NrJrcTGRlAUCgcAUGo2G5ORkcnJyqrorAkGF4eHhgZ2dndH+RxLNWFC7SE1NRavVYmFhgaura1V3p1aTkZHB3r172bJlC9u2bSMxMRFPT0+GDx/Ohx9+SN++fYuM2F2RCJnXQjQauHoVrl2TXYcHDIAOHeDMGblMn5AQuVz/WJWqxlsGT0Ull6jIAsweGkyXQPcS65WKq1flaxkdDWPHwnffFZSpVDB+vGyhDQ2FRxSJUtzf5oeQee0lKyuLxMRE3N3d8fDwQKVSoVarlXJzWENp7tRGeWs0Gm7fvo2np6dJhbas1I6rIig3N2/eVEJ+ix/BiufOnTts27aNzZs389tvv5GdnU1QUBATJ04kLCyMjh07PvL1r0LmNZTMTPj7b1lhDQkBfdfzzEwICpK3e/SQ07bMn2/aOvvvfxu6Fx87Bv36ga8vTJ0Kr7xiWD8pCerVq1bKriRJxKRkcjHuPhdup3Eh7j5nb6aU6lhd6p0yk5gIajXoRwz384PkZHl7xw65XP9hY/788p3rIRD3t/khZF57SUlJwdvb2yAtS25urlkFBDJ3aqO8LS0tadiwIXFxcTSqgHgRteOqCATVBEmSuHTpkuI+fPLkSVQqFd26dWPBggWEhobSpEmTqu6moLqSnFxgYR09Wg4cpGPr1oIULu+/b6jMOjnJEYrv3pWPBcU6K/35JyqtVolozHPPGZ4zOhpyc+Xj8vIMyyQJGjeWy3v2NF73efu27ELr7l5p6281WokbiQ+4EJfGhdv3uRiXxsW4+6Rnq0s+2ASeTmV8C3zpEkyaBMePyy8CPv64oMzGRl7zeveu/Dcvz1CZFQgEgodAq9WK/KKCWklFGnLEr66Z06BBAzQajYiO+xCo1WqOHj2qBHC6fv06jo6ODBw4kNWrVzN06FCDHMhVjZB5FXPrlqw4ZmTA0KGGZf/+d4Graps2sgVWR2BgwbZOYdXnpZdk5fOxx+S/KhXMn48q3zqrAvj5Z0MFGWT315Yt5WBE+VHeFe7dA93aFVPBpN58E378Uc6VeuECBAQUlCUlwc2bcpv16pVK2c1Ra7ia8ICL+Yrrhbg0LsXfJzvP+Nw2lhY093aiRQNnWjRwIcjbmVe+/5OE+zkmA0CpAC8XOU1PkeTmyp86dQr2eXnJwbIkSX6hoK/MAqxbV60CaYn72/wQMjcvhHJrXgh5l4xQZs0cDw+Pqu5CjSQ9PZ09e/awefNmtm/frrgCDR8+nM8++4w+ffpUyDqAykDIvJJRq2XF8Pp1WRFq08awvHVrSEmR3XoLpyPTV1ivXzdUZps0gQkT5Dpduxqfd9484326tbN//CH/HTnSuM6YMfJHkuSPPpmZMGSIbL3VuTHrEx1dUE/f/RZkK+7YsfL2p5/ClCkGxTk//8J1ezcirF05myZxMe4+fyekk6cxVkUdbCwJ9nYmpKGLorw2qV8H60KpdN7v6MpH644CGCi0OlVzWr/upiMXX7oEc+bIfZ41C2bMKCirWxe6dy+wvubmyhZZpfHqo8iCuL/NESFz80IoN+aFkHfJCGVWICglcXFxbNmyhS1btrBv3z5yc3MJCQlh8uTJhIaG0r59exEFu7oRGyuvdSwKT0/w8Sl7u5mZcOOGbCHt1g30HyZPn4YuXeTtyZNh2TLDYwMDZWU2NlbOQ6qf67VHD/mYwEDDyLgALi6walXZ+qlSwcKF8Prr8t/iFC+Vyrjcxwe2by/6mN69wdVVtjIXfnkTFaVsZtRvQMT1JC7muwlHX7vNr++MIhi459eKmWMWKnVd7K159l4kgc7WuLVshl+PDvh7OpecPicnh15jh9GruPy6u73kfllbg74Vy8YGNm6Ut7duNVRmQb4Gjo7Fn18gEAgEAsEjRyizAkERSJLE+fPnFQX2jz/+wNLSkieeeIIPPviA0NBQGjduXNXdFBRFTo5sjSxOufHykq2L+gqljnv3ZOtofLxskdNn0SJYsEDe3roVhg0rKCvJHfiZZ2RLX2CgcaThPn3kT0XSrx9ERlZsmzoWLjTalZiew8W4NB5YeuHSayR2t24y87ckrv11UqnTIuGGsq1p5MdrfR6jRQMXQho609DVHlX3eXJgKpBfHOgrsmfOyOtX/f3l/Ky6Fwk2NrK1OzHRtEu0SiVbnlu0gLffhokTC8oCA2XL85078rZWaxjwSiiyAoFAUKGsWbOGCRMmFFl+4MABevXqVWI7cXFxfP3114wYMYI2hTyh5s6dy7x586iKLKSRkZH89NNPhIeH4194CY+gQhHKrECgR15eHr///rsSwCk6Opo6deowePBgpkyZwuDBg6lXr5g1d4LqQ0nKjYUF1K8Pp07JdTt1Mizv2xfOnpUteFlZhqlVCrsD6+PuLrvX+vjA448bn3fatPKPqRohSRJxadlcuJ3GxdtyUKYLcWkk3NdFC/aGTi9A/mX1qWtPSL7C2k7VgAc+c6gTF8sTffrwxIBmho3rrLpeXmBvb1i2cyfMni1vb9oETz4pb6tUMHMmjBpVVIcLXmxs22aozOrabdhQBHASCAS1Ho1W4lRUCnfTs/F0kmMJlOj9UkmsXr2a5voBDfMJLuydVARxcXHMmzcPf39/I2V20qRJDCou53olEhkZybx58+jVq5dQZisZ8att5pw7d04J6d+qVauq7k6VcP/+fXbt2sXmzZvZsWMHqamp+Pj4EBoaSmhoKL169cLWlOWuhmI2Ms8PgGQyPQ3ICm5EBDzxhLwutLA7bWCgrMxqNPLa1sceKyhr2xaef970+lWVyjDfaBWi0Ur8uO8PEh/k4lHHhjF9O5TrgUWrlYhOzuBCXH404fzgTKmZeUZ1VSpo7O6orG8NaeBCcANnXB1sDCv2blv0Cd9/X1ZoTbnt69bpgnHAKv0AVPpYWsoyi46WLe5qdUGQLB1+fkX3pwZhNve3QEHI3LzIzMxUUrWUJzf9rgvxzNsaaZCX29vFjjnDgxkU4l3MkZVDSEgI7du3r5S2fXx88CnPUqJqxMPK2xwQyqyZI0mS8jEnYmNjFffhAwcOkJeXR5s2bXj99dcJCwujbdu2qKpZYJeKwqxkPmAAtG8Pf/5pGNxIp9xcvChbXU25Aw8cKAf/CQyUU9/o07o1fPtt5fb9ITH1wPL56f0lPrDkabRcT3wgRxO+ncbFuDQi4+6TkasxqmtloaJpfTmicEhD2era3MsZR9uH/GkZN67ospdfltckR0cbvmAA44BaOjQa2S3c1RWaNZP/1lLM6v4WAELmgtKz60I8k9edMYr4fictm8nrzrB8bLsqUWiLY+PGjXz00UdcvnyZvLw8vLy86NWrF6tWreLgwYP07t0bgAkTJihuy3PmzGHu3Lkm3Yz9/f0JCQnhpZde4p133uHy5cv4+/vz4YcfMmzYMNasWcMHH3xATEwMLVq0YNmyZQbK9unTp/noo484ceIECQkJ1K9fny5duvD+++/jl/9SVN+FWtc/kK3Q4eHhAPz2228sWrSIP/74A7VaTdu2bXnvvffo27evUj8xMZEZM2awZ88eEhMTcXZ2pmnTpsybN49+/fpVzgWvgQhl1syxt7fH2tq61iRiLgpJkvjrr7+U9Dlnz57FysqKXr168b///Y/hw4crk1Btx1xkDsiWt9at5aBM+uiUm82bZbdSU5F6J02SPzWQ0j6wZOdpuHInnQv5uVsv3k7j0p10ctXGbtl21hY093ImpKFsbW3RwIWmXnWwtXrE6UDatpU/pujRA/bsgX/+Uw6wpdXKLy7atZNfbNTSF1T6mNX9LQCEzM0NCwsLJEkiK08LuaXPt63RSszZctFk6jJdHvK5WyLp9ph7qT14HGwe/jun0WhQqw3HoVKpsLS05Pjx4zzzzDM888wzzJ07Fzs7O27evMn+/fsBaNeuHatXr2bChAnMnj2bofnp7kqyxkZERDBz5kzefvttXFxcmDdvHqNGjWLmzJns27ePhQsXolKpmDFjBsOGDSMqKgr7/CUv0dHRNGvWjDFjxlCvXj3i4+NZvnw5HTp0IDIyEnd3d4YOHcrChQuZNWsWX3zxBe3atQMgMH+J0rp16xg3bhxhYWGsXbsWa2trvvrqKwYOHMju3bsVhfb555/nzJkzzJkzh6ZNm5KZmcmZM2dITk5+6Otem1BJZv4qT6vVkq7Lo5iPk5OTiEpbC8jNzeXQoUPK+tfY2FicnZ0ZMmQIYWFhDBo0CNdabKERACkp5DYOxCYtVdmlVlnwd4MmxOzcz6CWDaqwc5WDRivR/YP9BhbZwthbW+Jbz55riRlotMY/AU62VgQ3KEiFE9LQhcbujlhZ1pB5cfduQ/fyXbtkS7tAIBDUIGJjY2nUqJHJMv+3iok0/4iIfn9oyZWKoLgAUJaWlqjVaj7++GPefPNNUlNTcXFxMVn39OnTdOjQwcDqqaMoy+zdu3e5evUqDRs2BGTltk2bNnh7e3Pt2jXFnXfz5s2MGDGCLVu2MLxwIMh8NBoN2dnZ1K9fn4ULF/L6668DsGnTJp566imjQFaZmZk0atSIbt26sWXLFmW/VqulXbt22NracvKkHDDRycmJSZMm8cknnxRzJWsupr7f5dHLxGs8Qa0iNTWVHTt2sGXLFnbu3Mn9+/fx9fVlxIgRhIWF0aNHD2xswEKjAAAAIABJREFUbEpuSFAr2BWXw4dPLWL9DzPxzJQVWitJywddn+Pw92dZPlZVrVyqtFqJXI2W7DwN2Xny3xy17n+9bbWWHP2/emXRSZnFKrIAWXkariQ8AKCeo43B+taQhs40quuARRUFA6kQCufXHTCgqnskEAgEAhN8++23BBXyjtIt8+rQoQMATz/9NC+88ALdunVTFNCHoU2bNgbt6M7fq1cvg3Wpuv039ZawPHjwgPnz5/Pzzz8THR2NRi8rwaVLl0o897Fjx0hJSWH8+PFGFulBgwaxePFiMjIycHR0pGPHjqxZswY3Nzf69evH448/LvLOmkAos4IaT3R0tOI+fPjwYdRqNY8//jjTpk0jLCyMVq1a1dr1r4Ki0Wglec2oWyP6TVrOdz+9S+s7V4nwasKhgHaogHlbI+kf7GXSpUqt0ZJtSpHM05Kj1pBjQtmUlUst2WrDY3Lyj9EpqNm64/P36RRTU+69lcU/ewQwsXsAXs52te/+KEt+XYFAIKiBRL5XNm+TU1EphK/+o8R6ayZ0oGPAo8vaEBQUVGQAqCeeeIJff/2Vzz77jHHjxpGTk0OLFi14++23efbZZ8t9zsJZKXRGjqL2Z2cXvCB+7rnn2LdvH++88w4dOnTA2dkZlUrFkCFDyMrKKvHcCflR9UePHl1knZSUFBwdHdmwYQMLFixgxYoVvPPOO9SpU4eRI0eyePFivLy8SjdYM0Aos4Iah1ar5cyZM4r78Llz57C2tqZPnz589tlnDB8+vMZHrxM8BGo1WFlxKipFsVDet3dicc/xzP3tKxb3HA8qFRIQn5ZN748OYmWhMrJ8mnK/fZRYWaiws7bE1spC/mttga2VJXbWFthZyf/b6f7Xq5f4IIf/O3O7xPb7NK+Pt4t9ifVqLJWZX1cgEAiqmLKuV+3RxANvFzvupGWbXDerArxc7OjRxKPK0vSYIiwsjLCwMHJycjhx4gSLFi3iueeew9/fny5dujzSvqSlpbFt2zbmzJnDW2+9pezPyckhJSWlVG24u7sDsHTpUjp37myyTv369ZW6n376KZ9++ikxMTFs2bKFt956i7t377Jr166HHE3tQSizZk5sbCwajQZLS8si12VUB3Jycti/f78SgTguLo66desydOhQZs+ezcCBA3F2dq7qbtYIaorMy0NSYipWgwYS0a4nC4MN1/Ic9W9D/0nLjY6JSckssV0bKwvs8pVFfcXRTk/BtNXfb2VYZuoYW+uCugXbcjt2VhblXp+q0Uocv55c4gPLo3zzLnh01Ob7W2AaIXPzIjc3V0nVUpZlU5YWKuYMD2byujOowOD3Qae6zhkeXK0UWX1sbW3p2bMnrq6u7N69m7Nnz9KlSxcldWJprKIPi0qlQpIko3SNK1asMHA31vXXVL+6deuGq6srkZGRvPrqqyWeUydvLy8vXn31Vfbt28fRo0cfciS1C6HMmjkpKSlKfrrq9iOYnJzMjh072Lx5M7t37+bBgwcEBATw9NNPExYWRrdu3cTagXJQnWVeFjJz1Vy4fZ+I2FT+ik0l4mYKM7+dy9Arp+h55hQRXWK48sTzJbYzc3Bz2vrWLVL5tLG0qFHrR2v6A4vg4agt97eg9AiZmxdqtbpcyizAoBBvlo9tZ5S2zasK88xeuHDBaO0oyJF/ly5dyq1bt+jbty8+Pj6kpqayZMkSrK2t6dmzp1LP3t6e77//nqCgIOrUqUODBg1o0KDiAzw6OzvzxBNP8OGHH+Lu7o6/vz+HDh1i5cqVRgFFQ0JCAPj6669xcnLCzs6OgIAA3NzcWLp0KePHjyclJYXRo0fj6elJYmIiERERJCYmsnz5ctLS0ujduzejR4+madOmODk5cf78eXbt2sWoUaMqfGw1GaHMCqoV169fV9yHjxw5gkajoWPHjsycOZPQ0FBatGhR+9b3CUpErdFy9e4DImJTibiVytmYVP5OSMfAE1iSuOLpz9ArR8m2cyDgxedxu2VDyoPcYi2Uk3o0rnWKXXV8YBEIBAJB1TMoxJv+wV6cikrhbno2nk6yp05V/Q4WFdH4m2++oVOnTpw+fZoZM2aQmJiIq6sr7du3Z//+/bRo0QIABwcHVq1axbx58xgwYAB5eXlKntnK4IcffmDKlClMnz4dtVpNt27d2Lt3r5IWSEdAQACffvopS5YsoVevXmg0GiXi8tixY/H19WXx4sX861//Ij09HU9PT9q0aaNEZLazs6NTp06sX7+emJgY8vLy8PX1ZcaMGUyfPr1SxlZTEal5zDw1T3Z2tvKGz87O7pGfX6vVcurUKSWAU2RkJLa2tvTr14/Q0FCGDx+Ot7d48K5IqlrmJSFJErdTs4iITSPiVip/xaRy/nYaWXkao7r1nW1p08iV1o1caePjSksfF5w2/ghubjBkCNsjbvPK+rP5SfQMf6hVUC0TxFckGq3EkSt3SEzPxsPJju7NTAe7EtQeqvv9Lah4hMxrL0WlLtFhLs+q5kxtlrdIzSOoEKrihy8rK4t9+/axefNmtm7dSkJCAm5ubgwbNowFCxbQv39/6tSp88j7ZS5Ut4edtMw8Im6lKlbXv2LTSHqQY1Svjq0VrXxcaN3IldY+rrRp5IqXi4mxPC+7FqemprLolWe4m6ilXt8XsXL2UKqo7yfS3eEOA1sMqbRxVQcsLVT0DKq9yrrAmOp2fwsqHyFz86K2KTSC4hHyLhmhzAoeCYmJiWzfvp3NmzezZ88eMjMzadKkCc8//zyhoaF07doVS0vLqu6moJLJUWuIjLufr7imERGbyo2kDKN6VhYqmns7yVbXfMW1sUcdY6viX3+BkxMEBhrsliSJMWPGKEESbl89iVfLbuRa2pORFE/OrYtskLR0amjLv//970obr0AgEAgEAoGg8hBuxmbuZlyZ/P3338r612PHjiFJEl26dCE0NJTQ0FCaN28u1r/WYrRaiRtJGYrFNSI2lcj4++RpjKccPzcHRXFt3ciVFg2csbMu4eXGzZvQuTNoNLB1K3TqpBSdOnWKTvn/u7u78/3339O/f39ycnJYtmwZ06ZNA8DT05OYmBijyIQCgUAgEFQ1ptwwBYLagnAzFlQIDx48QKvVYmFh8dCuvRqNhhMnTijrX69cuYK9vT39+/fnm2++YejQoUruLEHVUZEy1+fu/Ww5qvCtVGW9a3q2cYTCeo42eoqrC619XKnrWLaIjAC8+SbcuSNvv/MO7N6trItdt26dUu39999nwIABgOyO98Ybb3DixAk2btzI3bt32bt3L8OGDSv7+WsIlSVvQfVEyNv8EDI3L/RTwAiPttqPkHfJCGXWzLl+/boS0r9169ZlPj4zM5O9e/eyefNmtm3bRmJiIh4eHgwfPpzFixfTr18/HBwcKqHngvLysDIHyMhRc+5WWsFa19hU4vSi5uqwtbKgZUOXgiBNjVzxqWtfMRb5r7+GpCS4fRvWrzcI8HTr1i1lu3///kaH9u/fn40bNwJw+/bth+9LNaYi5C2oOQh5mx9C5uZFTk6OEvBLPF/VfoS8S6ZaKLPp6enMnz+fv/76i7Nnz5KUlFRkWO28vDyWLl3K6tWruXbtGra2tgQHB/PRRx/RtWtXg3oLFy5k9erVxMfHExAQwCuvvMJrr732CEdWvdFoJc4nZJP0IBf3OhpCtFKpIp0mJCSwdetWtmzZwt69e8nOzqZ58+ZMnDiR0NBQOnXqJN4eVVPKI/M8jZa/E9Jlq2usbHW9erdQWhxkXbKppxOtG7nQplFdWjdyoWl9J6wtK8llv25d2RqbmChHL9bDxcVF2b548SK+vr4G5RcvXlS2nZ2dK6d/AoFAIBAIBIJKpVoos8nJyXz99de0bt2aESNGsGLFCpP1NBoNI0eO5MiRI0yfPp2uXbuSkZHBn3/+SUaGYRCZl19+me+++4758+fToUMHdu/ezZQpU0hPT2fWrFmPYljVml0X4o1yUH7x536TOSglSeLSpUuK+/DJkydRqVR069aN+fPnExoaStOmTR/1EARlpDQylySJW/eyOBtbYHG9EJdGdp7WqL0GLnaKtbV1I1dCGrpQx7aSpxRJMkyxY2MDDRsaVRs+fDhr1qwB4O2336ZTp07Uq1cPgDNnzihzjK2trUnLbW0hISGBS5cuodVqlZx8gtqNp6cnGo1GvFA0I4TMzQsrq2rx6C54RAh5l0y1CACl64JKpSIpKQkPDw+TltlPP/2UadOmcfToUTp37lxkexcvXqRly5b897//ZebMmcr+F198kXXr1nHr1i3lwdYcA0DtuhDP5HVnKCx4nYqwfGw7+jX34NixY0oAp2vXruHg4MDAgQMJCwtjyJAheHh4FG5aUE0pTuYSMKyVNxk5aiJupZGSkWt0vJOdlbLGtU2jurT2ccHT+RGng1i7Fn77DVasgBICNqnVapo1a8aNGzcA2fo6ZMgQ7t27x969e5W8bZMmTeKbb76p9K4/aqKiopg+fTq//PKLst7G0tKSESNG8MEHHxBYKPqzQCAQCKofIgCUoDZTqwJAlXb93JIlS3jiiSeKVWQBfv31VyRJYsKECQb7J0yYwDfffMOuXbt47rnnyt3fmoxGKzFva6SRUgOgyc0iO+oMz49bghRzhuTkZLy8vAgNDeXTTz+lb9++Ip9dDaQ4mev2bTsXr+yztlQR7O1ckM/V15UAN0csSuGCXmns2weTJoFaDbGxsHMn2NsXWd3KyopffvmFvn37kpSUxP379/nxxx8N6nTp0oVPPvmksnv+yLly5Qo9evQgMTHRYL9Go+Hnn3/m0KFDHD58mKCgoCrqoUAgEAgEAkHFUC2U2dIQGxtLdHQ0w4cPZ9asWaxcuZLk5GSaNWvG9OnTGT9+vFL3woULeHh44OXlZdBGq1atlPLiuHjxIn5+fgZr6XJycrh8+TIAdevWNVqDd/XqVTIzMwGMAjAkJSUpQWZ8fX2pW7euUqbRaJT+ODk50bhxY4Njo6KiuH//PgAtWrQwcDdITU3l5s2bADRo0MDIUnru3DkkScLe3l5xAz4VlWLgZgqQceUoD87tIftmBGjUWLv7Mbj/MJ4a2o/evXvTsJAbZ2RkpBJsIjg42KAsPj6eu3fvAhAYGGgQWTE7O5srV64AUK9ePaO3MX///TdZWVmoVCpFVjoSExOJi4sDwM/PD1dXV6VMrVYrayCdnZ0JCAgwOPbGjRvKW56QkBADV6x79+4RExMDQMOGDXF3dzc4NiIiAgAHBweaNGliUBYTE8O9e/cAaN68uUF6l/v37xMVFQVA/fr1jb6LFy9eRK1WY2trS/PmzQ3K4uLiFEXksccew9HRUSnLzMzk6tWrALi5ueHj42Nw7JUrV8jOzsbS0pKQkBDAtMxNMbSpI738HWnt50bTQMPv4fXr13nw4AEALVu2NHhDlpycrARc8vHxwU1v/apWq+X8+fMA1KlTx8giGB0dTVpaGgBBQUHY2BRENU5LSyM6OhoAv1u3cLWykpXZFi3Azo4LFy6g0Wiws7OjWbNmBu3eunULSZL49ttv2bBhAz/99BNZWVkAeHt7M2rUKMaOHcv9+/eNon9evnyZnJwcrKysjFxz79y5Q0JCAgABAQHVbo4IDg5m7NixyvfH3d2d/v37o1Kp2LNnD0lJSSQlJfGPf/yDP//8k/PnzxvNETpiY2NJSUkBoFmzZgYvsh48eMD169cB2cXR29twaYKYI2Rqyhyh4+7du8THyy+2/P39Ddae5+bmcunSJUBek+7v729wbFXPEd7e3nh6ehocW9IckZycDECTJk0MAqtkZGRw7do1ADw8PGjQoIHBsTV5jqiI5wgdYo6Qqcw5Ij09nczMTKytrbG2tjY4NisrSwkMZF/o5W5ubi5qtZxNwNbW1qC/Go2GnJwcQH7xq39PgXyNtVqtyXbz8vLIy8sDwMbGxuC7pNVqyc6WnzUsLS2NUt7p2gWwtzcMBKlWq8nNzTXZriRJyu+3hYWFkVElJydH8UCys7MzmHv02y3uGppq92GuYXGy0b+GhdstyzUsHAyqONnoX0NT7epfw+JkY+oa6uaskq5hYdloNBrS09OJiIgwOUeUhRqjzOom8bVr1+Lj48Pnn3+Oi4sL33zzDeHh4eTm5vLPf/4TkH84dW7E+jg6OmJjY6P8gBWFWq2msPe1JEnKl0QnmMLH6MoLo9VqlTLdl1Cf0rZbuE/67eqH7tZvV5Ikgy/e3XRjpSbvbhSSOpe6PSdg/1hHrOt607ujM8197Y3OqWu3qLFqNJoix6p/DU31VzdWU5b60rZbXWRT0ljz8vJQq9Um3Sb0x1qedvPy8tBoNEiSxPEbySzcfsmonimauFoS4KzC0oQNtziZl/Yamjpef6yF0R9r1oABuB48CF9+CUuWgEpFbm4uWq3W5DoxXbseHh588cUXfPHFF9y8eRNra2s8PT2Vh/3irqGp735pZVNV38Pjx49z+vRpQH643LFjh/Kw+e677zJixAguX77M2bNnOXLkCA4ODkZzRGnGWpq5R8wR1X+OKEu7umNLatcUj2KOMNWn0swRunbK0m5NniMq4jlCh5gjUNqqrDlC/1OYovbrl5dUVly7D3PO0hy7Zs0aAw9KS0tL6tevT79+/Vi4cKGBIaUs7Za2TwcPHqR3797s2LGDXr16ARAeHs7BgweJjo4u0/VdtmwZDg4OhIeHG/Tp5s2bBAcHs3r1aqOy4sZT3DkrU+a67cL3T0XJ3FR5Ub9HZaHGKLO6CSI7O5sdO3bg5+cHyCk22rdvz3vvvacos1C863JJbs1WVlZGdVQqlTKZm1qMbWVlZXKyB/ltha7M1INJadst3Cf9dk39WFtbWyNJkkG7nk7GbsIu3f+Ba6G2D8fm4F/PjoZFtKv/Vx9LS8six6p/DU31VzdWU/IpbbvVRTYljVU3zpKuYXnazc5V8/utbGb/foTI+PtGdYrCvY4N1tbWRbb7sNewpLEWxmisnTrJn3xsbGzQaDSluoYODg7K2/+MjIwSr6FWqzUp89LKpqq+h/v27VP2/+c//6FevXrcu3cPSZLIyclh+vTpTJw4EYC9e/cyevRoozmiNGMtzdyj/7eodsUcUfFzhM7aq1Kpimy3qGBBxbWrO7a4/lb5HFGIsswRZWm3us0ROmuvSqV6JM8ROsQcgdJWZc0R+h8dOqufTuko6pnW5P7YWLhzB4t8S5uFlRXoj8vTE5W7e5HtFnc+/XOW5djVq1fz2GOPkZ6eztGjR/noo4/4/fffOX/+vOJ1Up52S9Onwse/8847TJkypUztgqzMuru7Kwqrrszb25vjx48beJzot1vUePTRt/KWpU9FlZV0DUvTp/K0W9SxRT13loVqEQBKn6ICQF25coXmzZvTqlUrxWVDx6xZs1i0aBEJCQl4enry7LPPsm/fPsVNRUdGRgZ16tRh5syZLFy4EDC/AFAarUT3D/ZzJy3b5BrKwnQMqMeErv70D66PVWWlWBFUCCkZuXx/4ibfnrhJYrrs/mJnbcHItg3ZG5lA8oNckzJXAV4udhyZ0adUqZkeCWo1nDsH7dpVdU9qFDNmzGDx4sUA7N69mwEDBhAREaG48yUlJdGvXz8A3nzzTT788MOq7K6gEtCXt8g5ah4ImddeTAXIyczMLF/e0Zwc8PODfDd4k3h5QXR0iUEWKwKdZfaPP/6gffv2yv53332X+fPns27dOv7xj38YHZeVlYWdnd1D56vXWWYPHDigWGbLS0hICO7u7hw8ePCh2jFFueVdA6ioAFA1RjsJDAwsUog6fVw30JYtW5KYmMidO3cM6unW5RReJ2ROWFqomDNctlAVngZU+Z//DGzKsFbeWFqoOBWVwuTvz/DE4gMsP3ideyYi3QqqlqsJ6cz8v3N0WbSPj/f+TWJ6DvWdbZk+qBnH3+rLolGtWDBC/s6bkjnAnOHB1UeRlSSYMgU6d4Zvv63q3tQo9NfK/fLLL0CBxcza2lrZBxitCRPUDvTlLTAPhMzNi9JY6ExiYwO+vlCUUmBhAY0ayfWqEF2Q15s3b7JmzRol5sPEiRPx8PDAwcFBWa969epVnnvuOTw9PbG1tSUoKIgvvvjCqM3Lly8zaNAgHBwccHd356WXXjJSmEB2My4cD0Cr1bJ06VLatGmDvb09rq6udO7cmS1btgByfIGLFy9y6NAhRS66NqKjo1GpVEqqQB1Hjhyhb9++ODk54eDgQNeuXdm+fbtBHd3YDx8+zNSpU/H19cXNzY1Ro0Ypa7917N+/n169euHm5oa9vT2+vr48+eSTynrW2k6NUWatrKwICwvj0qVLSsAHkBXZXbt2ERgYqCy6DwsLQ6VSsXbtWoM21qxZg729PYMGDXqUXa92DArxZvnYdni5GLoce7nYsXxsO17p3YTPn2vHkRm9ebX3Y7g52hCXls0Huy7TedE+3vr5HJfK4L4qqHgkSeLQ34mMW3WK/p8cZv2pWHLUWlo2dOHTZ9rw+/Q+vNzrMeo6yj9KJcm8cG7hKuX//g+WLYO8PDmCcX5wEkHJPP3000qwia+++opFixbRsGFD/P392bp1K8uXLwfkQAxjxoypyq4KKong4GBat25tFFRHUHsRMjcv7O3tcXBwMAosVCIqFcyfDybW9QLy/vnzDXO5VwH6wdd0TJw4EWtra7777js2bdqEtbU1kZGRdOjQgQsXLvDxxx+zbds2hg4dyuuvv868efOUYxMSEujZsycXLlxg2bJlfPfddzx48IBXX321VP0JDw9nypQpdOjQgQ0bNvDjjz8SGhqq6CK//PILjRs3pm3bthw/fpzjx48bvDguzKFDh+jTpw9paWmsXLmS9evX4+TkxPDhw9mwYYNR/VdeeQV7e3t++OEHFi9ezMGDBxk7dqxSHh0dzdChQ7GxsWHVqlXs2rWL999/H0dHRyVwU61Hqibs2LFD2rhxo7Rq1SoJkJ566ilp48aN0saNG6WMjAxJkiTp2rVrkqurq9SsWTNp/fr10vbt26WRI0dKKpVK2rhxo0F7kyZNkmxtbaUPP/xQOnjwoDRr1ixJpVJJ//3vfw3qaTQaKTU11eCj0Wge2birErVGKx27liT9evaWdOxakqTWaE3Wy8pVSxtPx0pDlhyW/GZsUz7PfHVM2nk+XspTm8f1qg5k5aqlH07elPp9fFCRg/9b26QXv/1DOnkjWdJqTctQR2llXqXk5UnSyy9LEkjS2rVV3Zsax7x58yTkrEtFft59992q7qZAIBAISiAmJqbowo8/lqSGDeXPgQOGZTduFJS9+mrBfq1Wkjp0kH9f9T+WlvJ+rVaSVq8uOPbnnw3bvX+/oOy55x5qbKtXr5YA6cSJE1JeXp6Unp4ubdu2TfLw8JCcnJykO3fuKHXGjRtndPzAgQMlHx8fKS0tzWD/q6++KtnZ2UkpKSmSJEnSjBkzJJVKJf31118G9fr37y8B0gG9azd+/HjJz89P+f/w4cMSIL399tvFjqVFixZSz549jfZHRUVJgLR69WplX+fOnSVPT08pPT1d2adWq6WQkBDJx8dHeY7Tjf3ll182aHPx4sUSIMXHx0uSJEmbNm2SAKPx1QRMfb/Lo5dVmwBQkydPVsLDA2zcuJGNGzcCckALf39/AgMD+f3333nrrbd48cUXycvLo02bNmzZsoVhw4YZtLds2TIaNmzI0qVLuXPnDv7+/ixZsoTXXnvtkY6rOmNpoaJLoFuJ9eysLRn9uA9PtmvInzfvsfpYNLsu3OHEjRRO3Eihoas947r48UyHRrg6VK17Sm3lbno23x2/yfcnY0jJd/V2tLHk6Q6NmNA1AF+30q2jKK3MqxQrK/j8cxg7Frp0qere1Dhmz55NWloa//vf/0yWT506lTlz5jziXgkEAoGgQrl/H/IzfZDvdqug0RSU5af+AQqss4U9FDWaAqtsRkbBsYXdVCWpoCwpqUKGoXMr1tGyZUuWL19O/fr1lX1PPvmkQZ3s7Gz27dvH5MmTcXBwMIgUPWTIED7//HNOnDjB4MGDOXDgAC1atDBaT/7cc8+xd+/eYvu2c+dOQLaOVgQZGRmcPHmSyZMnG6ScsrS05Pnnn2fGjBlKjCAdoaGhBm3oUk7dvHkTLy8v2rRpg42NDS+++CIvv/wyPXr0MErPVdupNsqsvutwcYSEhLBt27YS61lbWzN37lyDIFKCh0OlUtHevx7t/esRn5bFuhM3+eFkDLdTs1i08zKf/PY3I9s2ZHxXf5p7OZfcoKBELsalsfJIFFsj4sjTyGvDG7raM6GbP093aISzXS1dI6VSCUW2nFhYWPDxxx8THh7O119/raTqefzxx3nxxReNci8KBAKBoAbi7Ay69DWFAzZZWhaU6eUkBmDAAHBxgfz8zVhaysEWBwyQ/3d0LDi2cKwalaqgrFA+3fLy7bffEhQUhJWVFfXr1zeZb7TwvuTkZNRqNUuXLmXp0qUm203KV7aTk5NNxogonNvbFImJiVhaWpaqbmnQZRcwNUZdPuvC6UP183IDSo5YXd7YwMBAfvvtNxYvXswrr7xCRkYGjRs35vXXX1ciM9d2qo0yK6ga4uPjlTQNZUlY7O1iz38GNue1Pk3YEhHHmqPRRMbfZ/2pWNafiqVLYzfCu/nTL6h+9QksVEPQaiX2X77LyiNRHL9RMKk97leXF7oHMOAhI0uXV+aVRlISvP46fPIJ6L2JFTwcLVu2ZOnSpdVP3oJKRcjb/BAyNy+UdZCvvorNG2+YrhQQALdumS5TqWDDhgLrrL5VFiA8XP6Ywsmp6HbLSVBQkEE0Y1MUDnZVt25dxZpZlNVUp8C6ubkZBYQFTO4rjIeHBxqNhjt37lTIvVW3bl0sLCyIj483KtMFdXIv9JIgLy9PkblNEcG5evToQY8ePdBoNJw+fZqlS5cydepU6tevbxbxMWpMAChB5XD37l3u3LljlMaotNhZW/J0+0Zsf707P/2rC0NbylGF+z5bAAAgAElEQVSQj99I5l/f/UnPDw/w9eHrpGWaTjYuKCAjR823x6Pp+79DTPr2NMdvJGNpoWJ46wb8+ko3fp7clSEtvR86RdLDyrxCyc6GESNg/Xo5evGVK1Xdo1pHtZK3oNIR8jY/hMzNC7VaTV5enoFrbZkZMAA6dJC3O3QosMrWEBwcHOjduzdnz56lVatWtG/f3uijs2j27t2bixcvGqX1/OGHH0o8z+DBgwGU4IlFYWtrq1hKi8PR0ZFOnTrxf//3fwb1tVot69atw8fHh6ZNmxoco9FoSi1vS0tLOnXqpER0PnPmTInH1AaEZVZQIahUKjoG1KNjQD3iUmUX5PWnYrh1L4uFOy7zyd6rjGzXkPCu/jSt71TV3a1WxKVmsfZ4NOtPxnA/W56snOyseK6jL+O6+tPQtYwRC2sSt28XRCvOzoayRmcUCAQCgUBQNlQqWLhQ9opauLDKIxiXhyVLltC9e3d69OjB5MmT8ff3Jz09nWvXrrF161b2798PyHEiVq1axdChQ1mwYAH169fn+++/5/LlyyWeo0ePHjz//PMsWLCAhIQEhg0bhq2tLWfPnsXBwUGJw9OyZUt+/PFHNmzYQOPGjbGzs6Nly5Ym21y0aBH9+/end+/evPnmm9jY2LBs2TIuXLjA+vXry5xy6csvv2T//v0MHToUX19fsrOzWbVqFYCSV762I5RZMycwMBCtVltsMuKy0sDVnumDmvN63yZs+SuOVUejuHwnnR9OxvDDyRi6PeZGeNcA+jT3NGsX5L9iU1l5JIod5+PRaOX1sP5uDkzoFsDox31wtK2c27MyZP4QnYGTJ+GZZ2DJEjkHnqBCqVbyFlQ6Qt7mh5C5eWFbeH1seenXDyIjK6atKiA4OJgzZ84wf/58Zs+ezd27d3F1daVJkyYMGTJEqefl5cWhQ4eYMmWKEjBq5MiRfP7554SFhZV4njVr1tCuXTtWrlyppPgMDg5m1qxZSp158+YRHx/PP//5T9LT0/Hz8ysyFlDPnj3Zv38/c+bMITw8HK1WS+vWrU0GswU5BpCdnZ2JlmTatGnDnj17mDNnDnfu3KFOnTqEhISwZcsWBtQwi3t5UUmSJFV1J6oSrVZrlDjZyclJ/ChUIJIkcSoqhTXHotl98Q75ehuN6tkzrrM/T7dvhItDLQ1kVAi1RsueyARWHoniz5sFEQY7N67HC90b07e5JxbmqOBLUo18MywQCAQCQWURGxtLo0aNqrobAkGlYOr7XR69TCizQpl9pNy6l8m6EzH8+EcMqfnraO2tLRmV74LcpJa6IN/PzuOnP2JZfTSa26nyOglrS3k97MRuAYQ0dKniHj5CYmKEBVYgEAgEghIQyqygNiOU2QpCKLNVQ1auhs1/3WbNsWgu3ym4/t0fcye8qz+9K8sFOTYWEhOLLvf0BB+fCjtdTHImq49FsfH0LR7kyOth6zpYM7azH8939sPTuWjXkVrJ2bPQowf861/w4Ycg7jOBQCAQCEwilFlBbUYosxWEuSuz2dnZSJKESqUq1ie/spAkiRM3Ulh7LJo9kQUuyL71HBjXxY+n2jfCxb6CXJBzcsDPDxISiq7j5QXR0cY528qAJEn8EX2PlUdusDcyQRnTY551mNgtgFHtGmJnbVnu9h+WKpP5/fvQvDnoQtJ/8glMnfrozm+mVPU9Lni0CHmbH0LmtZeiHvZ1mMuzqjlTm+VdUcqsCABl5ly5coW8vDysra1p3br1Iz+/SqWiS6AbXQLduHUvk+9O3OTHU7HEpGSyYPsl/rf3b55s58P4rn485vmQLsg2NrJ7a2Ii6E0OChYW0KiRXK8c5Gm0bD8Xz6qjUZy7labsf6KpBxO7+dOzqUeZo9RVBlUmc2dnmDsXXn4ZOnWCl156dOc2Y6r6Hhc8WoS8zQ8hc/NC/+WFg4NDVXdHUMkIeZeMUGYF1Qafug7MHBzE1L5N+fWv26w5Gs2VhHS+O3GT707cpEeTfBfkZuUMkqRSyYnBdYnCC6PVGiYOLyWpmbn8cCqGb4/d5M79bABsrCwY1bYhE7sHiFRE+rz4ohzBuHVrEBYEgUAgEAgEAsFDIJRZM6devXpoNBosLavO7bUw9jaWPNvRlzEdGnH8RjJrjkbz26UEfr+axO9Xk/Bzc2BcF3+eau+Ds10ZXZB1icLPnAGNpmC/pSW0a1emxOHXEx+w+mgUP/95m6w8uS33OraM6+LHPzr54langsLnVzBVLvO+favmvGZKlctb8EgR8jY/hMzNCysrK8VSJ6j9CHmXjFgza+ZrZmsKsSk6F+QY7mfLgZQcbCwZ/bgP47r485hnndI3tnu3aevsrl0wcGCxh0qSxLHryaw8EsX+y3eV/UHezrzQPYDhrb2xtRIPFApLlsgBn9q1q+qeCAQCgUBQoxABoAS1GREAqoIQymzNIjNXzS9nZRfkq3cfKPufaOrBhK7yutQSXZAlCTp2hNOnC/aFhMC5c0W6GOeoNWz+K45VR6KU6MsqFfRt7snE7gF0aewm3poV5rvvYNw4cHSEn34CvSTmAoFAIBAIikcos4LajAgAJTBLHGys+EcnP57r6Mux68msOSa7IB/+O5HDfyfi7+bA+K7+jH7cB6eiXJBVKliwwNA6+9FHhopsTAzUq0cS1qw7cZN1J26S9CAXkPPiPtXehwndAghwd6zE0dZgJAlWrZK3MzLg4kWhzAoEAoFAIBAIKhRhmRWW2RpPTHIm352I5sc/YknPd0F21Lkgd/Un0MPYBVmj0ZLVtj11zp/lQcu22J89jaVlgcwzevZBGxHBJ52e4dtWA1FbWuHlbEd4N3+e7eCLi0MFpQuqzWRlyZZZd3dYtqzMgbUEAoFAIDBnhGVWUJsRbsYVhLkrs3///TdqtRorKyuaNm1a1d15KDJy8l2Qj0VzTc8FuWdTD8K7+dOzieyCvOtCPPO2RtI44gRzf/uKuf3+xY3WnXlnaDD2tpac+GoDMz95HYCbrl68MecHxvVqypCW3lhb1vzvxSOVuVYrf6yEE0hVUZvucUHJCHmbH0LmtRdTD/sir7B5UZvlLdyMBRVCVlaWkp+upuNoa8XYznIk4aPXkllzLIp9l+9y6O9EDv2dSIC7Ix3867Lx9C0kIN6/Df0nLZcPTsvm5R/OAOCXYUfL5j0Ydvl3NHPnsen1XrVqPWylyTwzE6yt5Y8OCwv5I6gyatM9LigZIW/zQ8jcvNBqtbUuuu1nn33GlClTaNGiBRcuXChXGwsXLiQ4OJgRI0ZUcO+MmTt3LvPmzeNR2ANro7wrGvGUaeaoVCrlU1tQqVR0b+LOivEdOPhmL17oHoCTrRVRSRn8lK/IFnks0GdYV1of3QURETR+bZLhtUlNhWHD4MiRyh5GpVEpMtdoYMwYGD4c7t+vuHYFD01tvMcFRSPkbX4ImQtqOqvyY2xcvHiRkydPlquNhQsX8uuvv1ZktwQ1BGGZNXNatWpV1V2oVPzcHHlnWDBv9G/Kx3uusOpodLH1JWBAsBeN6jlAPRPXZvFi2L5d/nzyCUydWin9rkwqReb/+Q9s3SpvDx8OBw+KNbLVhNp+jwsMEfI2P4TMzQsHB4eq7kKFcvr0aSIiIhg6dCjbt29n5cqVdOrUqaq7VW2obfKuDIRlVmAWONpa0bqRa6nq3k3PNl2g1cKePfK2jQ2MHFlBvasFjBwJdevKa2PffVcosgKBQCAQCEpk5cqVALz//vt07dqVH3/8kczMTIM6OTk5vPfeewQFBWFnZ4ebmxu9e/fm2LFjgOydkJGRwdq1axUvhV69egGyS7Apr4U1a9agUqmIjo5W9m3YsIEBAwbg7e2Nvb09QUFBvPXWW2RkZFTO4AUVgrDMCswGT6fSLZwvsp6FBZw4IedPjY8HPz/D8kuXZIXOy+she1oD6dEDjh+Xc/X27VvVvREIBAKBoFYTHx9PfHx8lfbB29sbb2/vch+flZXF+vXr6dChAyEhIUycOJFJkyaxceNGxo8fD4BarWbw4MH8/vvvTJ06lT59+qBWqzlx4gQxMTF07dqV48eP06dPH3r37s0777wDgLOzc5n7c/XqVYYMGcLUqVNxdHTk8uXLfPDBB5w6dYr9+/eXe5yCykUoswKzoWNAPbxd7LiTlm1y3awK8HKxo2NAvaIbsbKCCROM90sSTJwI58/Dv/8Nb78NtSzqXIk0ayZ/BAKBQCAQVCpfffUV8+bNq9I+zJkzh7lz55b7+E2bNpGWlsYLL7wAwDPPPMPUqVNZuXKlosyuX7+eAwcO8M033zBp0iTl2OHDhyvbnTt3xsLCAg8PDzp37lzu/syePVvZliSJbt26ERQURM+ePTl37pxw6a+mCGXWzElMTESj0WBpaYmHh0dVd6dSsbRQMWd4MJPXnUEFBgqtzgFlzvBgLC3K4SK7ZYtstQX45Rd4iMm9sqkQmV+/Dn/9BU8+WbGdE1Q45nSPC4S8zREhc/MiLy8PgIkTJxIaGlqlfXkYqyzILsb29vaMGTMGgDp16vDUU0+xevVqrl69SpMmTdi5cyd2dnZMnDixIrpcLDdu3GD27Nns37+fu3fvGkQrvnTpUpUoszp5AyJieREIZdbMiYuLU0L6m8OP4KAQb5aPbce8rZHEpxWsjfVysWPO8GAGhZRzYu7cGV57Db78EhYuBEvLCupxxfPQMk9OhiFD4O+/4YMP5OBPYo1stcXc7nFzR8jb/BAyNy/y8vKQJAl3d3d8fX2rujvl5tq1axw+fJgnn3wSSZJITU0FYPTo0axevZpVq1axaNEiEhMTadCgQbF5RiuCBw8e0KNHD+zs7FiwYAFNmzbFwcGB2NhYRo0aRVZWVqWevyh08lapVEKZLQKhzArMjkEh3vRq4sbBi7fI0FrSoG4dOgbUK59FVkf9+vDZZ7Ji5+NjWJaQAEOHwsyZMGpUzVf8Vq+WFVmAtWvhlVfA0bFq+yQQCAQCgaDGsGrVKiRJYtOmTWzatMmofO3atSxYsAAPDw+OHDmCVqstl0Jrl7/kKycnB1tbW2V/UlKSQb39+/cTFxfHwYMH6dmzp7Jfp2QLqi/VIppxeno606dPZ8CAAXh4eKBSqUz64IeHhxvkU9N9mjdvblT32rVrPP/88/j6+mJvb09gYCBvvPEGycnJj2BENQc/Pz8aN26MX+FgRrWUc+fOMW7cOOq6ujD48UCe6RzIon9P4PfDhyrmBI0aGSur//0v/PknjB4tp/apYh5a5tOmwfz54O0NO3YIRbaaY273uLkj5G1+CJmbFzY2Ntja2mJjY1PVXSk3Go2GtWvXEhgYyIEDB4w+06ZNIz4+np07dzJ48GCys7NZs2ZNsW3a2tqatJ76+/sD8vOfPlt16QTz0UU81ld4QV6bXJXUBnlXNtXCMpucnMzXX39N69atGTFiBCtWrCiyrr29vVFEMXt7e4P/ExMT6dy5M87OzsyfPx9fX1/Onj3LnDlzOHDgAH/++WeluyvUFFxdS5eupjbwyy+/MGbMGHJzc5V9Go2GrVu3snXrVj7++GPeeOONij2pVguRkfK2oyOEh1ds++XgoWWuUsHs2fDqq2BG35+aijnd4wIhb3NEyNy8sLKqFo/uD8XOnTuJi4vjgw8+UFLo6BMSEsLnn3/OypUr2bhxI6tXr+all17iypUr9O7dG61Wy8mTJwkKClLW27Zs2ZKDBw+ydetWvL29cXJyolmzZgwZMoR69erxwgsv8N5772FlZcWaNWuIjY01OGfXrl2pW7cuL730EnPmzMHa2prvv/+eiIiIR3FJiqQ2yLuyqRZXyM/Pj3v37qFSqUhKSipWmbWwsCgxUtnmzZtJTk5mw4YN9M1PE9K7d29ycnKYNWsWERERtG3btkLHIKjeXLt2jWeffVZRZOvWrUvHjh05f/48cXFxAEybNo1WrVrRr1+/ijuxhQXs3Qs7d0JsrOyOrM+pU+DiUv2jAKvVciRnfcQDlEAgEAgEgjKycuVKbGxsmGAqOwTg7u7OyJEj2bRpE8nJyezYsYNFixaxfv16Pv30U5ycnGjdujWDBg1SjlmyZAmvvPIKY8aMITMzk549e3Lw4EGcnZ3ZtWsXU6dOZezYsbi6ujJp0iQGDx5sEB3Zzc2N7du3M23aNMaOHYujoyNhYWFs2LCBdu3aVfo1EZQflaQfqqsakJSUhIeHh8lw3+Hh4WzatIkHDx4U28batWsJDw/njz/+oH379sr+5cuX8/LLLxMZGUlQUBAAWq2W9PR0g+OdnJyE5baWMWXKFD777DNADv2+atUqHBwcUKvVvPvuuyxatAiAgQMHsmvXrkfTKY0G2rSR89NOnAiffgoODo/m3GVh50548005YnNgYFX3RiAQCAQCsyA2NpZGjRpVdTcEgkrB1Pe7PHpZtbDM/n979x4XVZn/AfwzA8NdkZsimKCogTewXc1Kw0wkQRRF1EhT2f1VXjJbfxpeViCoWAvXtvKyabmZYiZmqWtbiVq7P3UpEMO7gIKoyN3hDjPn9wfOiWEGQbkMw/m8X695Kec555nvOd+ZM/PMOc/zPIjKyko4OzsjPz8fvXv3RnBwMN58803Y2/82N2hwcDD69u2L5cuXY9OmTXBzc0NKSgri4uIQFBQkNmSbcu7cObi5uWlNuFxdXY2LFy8CqL+q13gEuStXrqCiogIA4O3trVVWUFCA3NxcAEDfvn1hZ2cnlqlUKqSnpwOoT1b//v21ts3KysLdu3cBAEOGDNG63aCkpATXr18HALi4uOiMYnj27FkIggBLS0sMGjRIqywnJwdFRUUAgP79+8PS0lKsu6ysDBkZGQCAnj176gy9fv78eXHkxMGDB2uV3bp1C3fu3AEAeHh4wMbGRiyrqqrCpUuXAAD29vY6L+DLly+jsrISMplMZ/jz/Px88Qqqm5ub1m1VdXV1OHfuHID6SbL79euntW1mZiYSEhIA1PeF2Lx5M6zuNRqVSiVmzJiBHTt24NatW/jXv/6Fu3fvirnX3F5iZWWFgQMHatWbnZ2N4uJiAICnp6dWP4u7d+8iKysLANCrVy84OztrbXvu3DnYfPMN3O7lHmlpwL3b5W/evIn8/HwAwIABA2DdoE9qRUUFrly5AqD+V8Q+jQabunTpEqqqqmBiYoKhQ4dqld25c0ecYP2RRx5B9+7dxZzX1NTgwoULAABbW1uxjwnS0oCZM4GyMtSNHIkrO3fi0UmTtE4qhYWFuHHjBgCgT58+cHBwEMvUajV+/fVXAPVD7ns0agxfu3YNpaWlAAAvLy+tPiGlpaW4du0agPrh/3v27Km1bXp6OlQqFSwsLPBooyvbN27cEPvHDxw4UMw3AJSXl+Pq1asAACcnJ7i4uGhte/HiRVRXV8PU1BRDhgzRKrt9+zby8vIAAP369TOqc4S+12FLzxGPPvqoOIgG0DXPEZoPz6FDh8KkwWjkxcXFyM7OBgC4urrC0dFRa9v2PEfU1dXB3NxcZ1yI+50jlEolMjMzAbTuHOHu7g5bW1uxrMlzxD0ZGRniD83Dhg3jOQIdd45oWK+hvkfwHNE+5wilUomKigooFApxJFtBECAIAqqrq8VRbht3t6upqUFdXR2A+u89DeNVqVSorq4GUH8La+O+mFVVVVCr1Xrrra2tFaeKMTMz03otqdVqVFXVzxJhYmKi0/dUUy9Q3z1Q1mB8kbq6OvHOucb1CoIg9oWVy+VarzOg/vWvUqkA1A/21PDc07DehsdQo7KyEoIg6K23NcdQU29zx7BxvfqOoSbfMpkM1dXV4jG0anTx4365aXgM9eWm4TG8X270HUPNOau5Y9g4NyqVCkqlEmlpaXrPEQ/CqBqz3t7e8Pb2Fj+AT5w4gb/+9a84evQokpOTxROera0tTp06hZCQEK0P69DQUOzcubPZ56mrq0PjC9aCIIgvEk1iGm/TcC6ohtRqtVimeRE21NJ6G8fUsF7Ni7BxvYIg6B3KW6VSidteunQJCoVC/PBsSb1N7WvDehvva8NjqK9ezb7K9Iz229J6mzqGmi9DAwYM0PoSoFaroVar4enpKX6JKykpEb+APGxumtvX2tpaFD71FMyXLIHzZ58B77wjDhwl7qtK9VD11tbW6i1reAwzMzO1ct5wX7W27dED6NsXOH8ed0eMQLmeaR9a+vrW95ppGFNjze1rTU0N1Gq11geBvnof9hjqu2mlpfV2xnPEzZs3dRpMLT1HPMy5x9jOER2dm5a8Duvq6vT+Gn2/3GRkZIixtOYcoe/1/7A55zlCt962fB1euHBBrM9Q3yN4jmifc0TDh4amodSc+62jKdO3jr7nbFzWmnqb2q65bR+m3ua21eSrNfU2VdbafdVo2DCWyWStiul+z9mwvPH7pz1yrilv6vPoQRhVY/b111/X+tvPzw8jRozAjBkz8PHHH4vlxcXFmDp1KioqKrBr1y488sgjSE9PR0xMDKZMmYLDhw/ft0O1qampTiIbzu+kb1tTU9Mm53+Sy+Vimb4vJi2tt3FMDevV92GtUCggCILeek1MTKBQKPSenFtSb8N/9dWrqaehhsdQX72afdX3IdTSeps6hg4ODrh16xYuX76MO3fuiL/ga+rSXPmSy+VaV/kfNjfN7atCoUCdrS1KFi+Gc2xsfb/ZBvtqVVAAjz/8of723sWLgXu/+rWkXpVKpbfsfjlvuK9a27q5Af/5D0r+9CfcePllKBr9mge0/PXd3Oulseb21czMDCqVqtl6HyY3arX6vu+b5urtTOeIhvHpq7e5c0RT9Xa1c0RH56Ylr8Om5hW8X24ar6ev3ubOEU3V21y8rT2GPEc8/OuwYR33q7c9vkc8bL0N/22qXqmfIxo+9GmurCmaMn3r3O857/d8La23qe2a2/Zh6m1uW7lcrrfx9iD1PuhztnRfm6q3M8bUknqb2lahUOh9Lz8Io+ozq49arUb37t0RGBiIL774AgAQERGBDRs24Pr161qXrY8dO4bx48djx44dmDdvnri9lPvMZmVloa6uDqampjq31XQlK1euxLvvvgsACAgIwGeffQYHBwdUVFTgf//3f7F582YAwJQpU/D1118bMtR64eH187kCwNtv189R20akknOqx3xLC/MtPcx516WvT2HD24sb3y5KXU9Xzrdk+8zqo7nfXePMmTNwdXXVuf965MiRAH67CkeQzAffkiVLsHnzZpSVleGf//wnXF1dMXz4cFy6dEnsSySXy7FixQoDR4r66Xzu9UFAjx7AK6+0afX3zbkgAAcOAMHBuvPlklGSynuc6jHf0sOcS0tXa9DQ/THfzTP6y4/79u1DRUWF1nQ9Li4uuHHjhjhYgsbJkycBQGdADOr6+vbti6+++kocKKW6uhrJyclaDdmPP/4YY8aMMWSYuBcMsGdP/bQ9f/870KCPLwDg6FHg//6vfZ777beB6dOBOXOAe4MbEBERERF1Rp3mNuMjR46gvLwcSqUS4eHhCA0NxcyZMwHU3xaan5+PsLAwzJ49GwMGDIBMJsOJEyewceNGeHh44PTp02JD5ZdffsGTTz4JDw8PREREiH1mY2NjIZPJkJ6eLo42J/XbjKUmKysLf/vb37Br1y7k5+eje/fumD59Ol577TX4+PgYOrzm1dQAXl5AZiYwZQqQkNB20/lcvlxft2YAi+++A/z82qZuIiIieiCcmoe6sra6zbjTNGbd3d3F4eEby8rKgq2tLf7whz8gNTUVeXl5UKlUcHNzw7Rp07B69WqtKQQAIDU1FTExMUhOTkZ+fj5cXV0xfvx4rFu3TuvAsTErXU0NgtKp/eMfwPz59f8fPx744Ye2vR34wAEgLAyIigJWrmy7eomIiOiBsDFLXVmXa8waitQbs5mZmeLAEY3npqNOqK6ufmCo6Ghg/35g1Cjt8oqKZq/UNpvzzEygXz/2me0i+B6XFuZbepjzrosDQFFXzndbNWal0WKjJimVSnFibjICpqbA//wPkJWl25C9dAlwda2/qnqvL7A+WjnX91tW//5syHYhfI9LC/MtPcy5tKhUKvFBXR/z3Tw2ZomMkb757tauBUpK6q/abtmiXZaTA6SkACkpsLxwAVYXL8LqzBngySfr171xo2PiJiIiIsnbsWOHOA/p8ePHdcoFQRDHyBk3blyHx0e/uXnzJqKionDmzBlDh6JXl5iahx7e0KFDDR0CtQW1GujVq/7KrYMDsHjxb2XV1cDIkUBeHgBgUONtT50CIiLqy7vYLSzE97jUMN/Sw5xLi6WlZau2V6vV+O9//4ucnBx069YNY8aMgY2NTRtF9+C6deuG7du36zRYT5w4gYyMDHTr1s0wgXUSrc13W7h58yaio6Ph7u7eKQdL5ZVZiTMxMREfZMTkcuDDD4GLF4GdO4F7I3sDAMzMABub+9863KdP/XrU5fA9Li3Mt/Qw59KiuZope4juQAkJCfDy8sITTzyBmTNnYtKkSXBxccHy5ctRWVnZDtE2b9asWUhMTBSnStTYvn07nnjiCfTt29cgcbWVyspKtGZ4otbkWyrYmCXqSjw8dKfTqaoCiov194/ViI9nP1kiIqIuKj4+HmFhYbh8+bLWcqVSiQ0bNuC5555DVVVVh8f1/PPPA6hvaGuUlpYiMTER4eHhOuvX1NQgNjYWnp6eMDc3h5OTExYsWID8/Hyt9b744gtMnDgRvXv3hqWlJby8vBAREYHy8nKt9TIzMzF79my4uLjA3NwcvXr1wrPPPqt1S61MJkNUVJROLO7u7pivmWECv906/d133yE8PBxOTk6wsrJCdXU1AODKlSsICwtDz549YW5uDi8vL3z00UdadR4/fhwymQy7d+/GG2+8gd69e8PGxgZBQUHIy8uDUqnESy+9BEdHRzg6OmLBggUoKyvTqkMQBGzatAk+Pj6wtLSEnZ0dZsyYgczMTK31xo0bh6FDhyI5ORljx46FlZUV+vfvj7i4OKjvTdN4/PhxjBw5EiU2++sAABrmSURBVACwYMECsWGtOR4tOX7tjY1Zoq5u716gqEh/mYlJ/S3IEyd2bExERETUIc6dO4cVK1aIf/v6+iIuLg4LFiyA2b27sn788Ue8++67HR5b9+7dMWPGDHzyySfisoSEBMjlcsyaNUtrXbVajalTpyIuLg5hYWE4fPgw4uLi8P3332PcuHFaV5evXLmCgIAAbN++Hd9++y2WLVuGvXv3IigoSKvOgIAA/PLLL1i/fj2+//57bN68GSNGjEBJSclD71N4eDgUCgV27tyJffv2QaFQ4Pz58xg5ciTS09MRHx+PQ4cOITAwEEuXLkV0dLROHatXr8adO3ewY8cOxMfH4/jx43j++ecREhICW1tbJCQkYOXKldi5cydWr16tte3LL7+MZcuWYcKECThw4AA2bdqEc+fO4cknn0TevS5nGrdv38YLL7yAOXPm4JtvvsGkSZOwatUqfP755wCAxx57DJ9++ikAYO3atTh58iROnjyJP/7xj+12/B6YIHEqlUooKSnReqhUKkOH1WGKioqEgoICoaioyNChUHtRqwXh668FoV8/Qai/Pqv9+PZbQ0dI7YjvcWlhvqWHOe+6srOzdZbV1taKj5ZatGiRAEAAILzxxhtaZadOnRLkcrkAQOjdu7dQU1PT6rhb4tNPPxUACMnJycKxY8cEAEJ6erogCIIwcuRIYf78+YIgCMKQIUMEX19fQRAEISEhQQAgJCYmatWVnJwsABA2bdqk97nUarVQW1srnDhxQgAgpKWlCYIgCAUFBQIAYePGjfeNFYAQGRmps9zNzU2YN2+ezj69+OKLOuv6+/sLffr0EUpLS7WWL1myRLCwsBDfv5pjERQUJAjCb/leunSpAEBYunSp1vbBwcGCvb29+PfJkycFAEJ8fLzWejk5OYKlpaWwcuVKcZmvr68AQDh9+rTWuoMHDxb8/f3FvzXH99NPP9Var6XHryn6Xt8P0y7jlVmJy87ORlZWFrKzsw0dCrUXmQyYMgW4ehUYORLCvbm6BLmcV2UlgO9xaWG+pYc5l5aamhpUV1ejpqamxdskJSUBABQKBVatWqVV9vjjj2PSpEkAgFu3buHSpUttF2wL+fr6wsPDA5988gl+/fVXJCcn673F+NChQ+jRoweCgoJQV1cnPnx8fODs7Kw1KnJmZibCwsLg7OwMExMTKBQK+Pr6AgAuXLgAALC3t4eHhwfeffddbNiwAampqeLtta0REhKi9XdVVRWOHj2KadOmwcrKSiv2gIAAVFVV4dSpU1rbTJ48GcBv+R44cCAAIDAwUGs9Ly8vFBUVibcaHzp0CDKZDHPmzNF6HmdnZ3h7e+uMHO3s7IxRjaZ6HD58OK5fv97sfrbX8XtQbMwSSYVcDsTEQHbvRCNTq4GYGPaVJSIi6sI0t99aWVmhe/fuOuW9e/cW/2+IfrMymQwLFizA559/ji1btmDQoEEYO3asznp5eXkoKSmBmZkZFAqF1uP27dsoKCgAAJSVlWHs2LE4ffo0YmNjcfz4cSQnJ2P//v0AfjseMpkMR48ehb+/P9avX4/HHnsMTk5OWLp0aavmbW54PAGgsLAQdXV1+OCDD3TiDggIAAAxdg17e3utvxX3pmRsvFxzm7gmb3l5eRAEAb169dJ5rlOnTuk8j4ODg0785ubmLRoQrL2O34Pi1DwS5+rqCrVaDbmcv2tIwsSJqPXxgeLMmfp/eVW2y+N7XFqYb+lhzqVFoW+e+WYMGjQI169fR2lpKX744Qf4NRgosqKiAgcPHgRQPzK2u7t7W4X6QObPn49169Zhy5YteOutt/Su4+joCAcHB3z77bd6yzXT+CQlJeHmzZs4fvy4eDUWgN5+nG5ubti+fTsA4PLly9i7dy+ioqJQU1ODLVu2AKhv3GkGcWqosLBQbxyNRx62s7ODiYkJ5s6di8UNp05soF+/fnqXa/JtatqyJpujoyNkMhl++uknmOuZblHfstZoyfFrb2zMSpyjo6OhQ6COJJNB8e67wNKl9f/yqmyXx/e4tDDf0sOcS8vDNGbDw8Px/fffAwBefPFFbNy4EYGBgbh48SJWrVolDgoUHBxssNeTq6srVqxYgYsXL2LevHl615k8eTL27NkDlUqFxx9/vMm6NI3Jxg23rVu33jeGQYMGYe3atUhMTERKSoq43N3dHWfPntVaNykpSWcU4aZYWVnhmWeeQWpqKoYPHy5eTW0JTb5bOvXW5MmTERcXh9zcXMycObPFz3M/muPY3NXapo5fe2NjlkhqJkwAzp83dBRERETUAUJCQvD444/j9OnTuH37NmbPnq2zjpWVFSIjIw0Q3W/i4uLuWz579mzs2rULAQEBeO211zBq1CgoFArcuHEDx44dw9SpUzFt2jQ8+eSTsLOzwyuvvILIyEgoFArs2rULaWlpWvWdPXsWS5YsQWhoKAYOHAgzMzMkJSXh7NmziIiIENebO3cu/vznP2PdunXw9fXF+fPn8eGHH8LW1rbF+/b+++9jzJgxGDt2LBYuXAh3d3colUpcvXoVBw8eFPs1t9ZTTz2Fl156CQsWLMDPP/+Mp59+GtbW1rh16xb+/e9/Y9iwYVi4cOED1enh4QFLS0vs2rULXl5esLGxgYuLCwoKClp0/NobG7NERERERF2UQqHAoUOHMH36dPz000865Q4ODkhMTMSwYcMMEF3LmZiY4JtvvsH777+PnTt34p133oGpqSn69OkDX19fMX4HBwccPnwYy5cvx5w5c2BtbY2pU6fiiy++wGOPPSbW5+zsDA8PD2zatAk5OTmQyWTo378/4uPj8eqrr4rrrVixAnfv3sWOHTvw3nvvYdSoUdi7dy+mTp3a4tgHDx6MlJQUxMTEYO3atbhz5w569OiBgQMHiv1m28rWrVsxevRobN26FZs2bYJarYaLiwueeuopncGeWsLKygqffPIJoqOjMXHiRNTW1iIyMhKLFi1q0fFrbzJBEIQOe7ZOSK1W63RS7tatG/ueEBEREZHB5OTk4JFHHmmz+tRqNZKSkvDZZ58hOzsb3bp1Q2BgIObMmQMbG5s2ex6iltD3+n6YdhmvzEpcWloaamtroVAo4O3tbehwqAMw59LCfEsL8y09zLm0VFRUQBAEyGQyWFlZPdC2crkcEyZMwIQJE9opOmprrcm3VPDyIxERERERERkdXpmVOM3kzS0d8puMH3MuLcy3tDDf0sOcS4tcLhev1FHXx3w3j31m2WeWiIiIiDqZtu4zS9SZtFWfWbbYiIiIiIiIyOiwMUtERERERERGh41ZIiIiIqJORi6Xo7a21tBhELU5lUrVZnVxtACJy87OFgeO6Nu3r6HDoQ7AnEsL8y0tzLf0MOddl729PW7dugVHR0dYWlpCJpOhurpaLDc3NzdgdNQRumK+VSoVcnNz0bNnzzapj41ZiSsuLhbnp+OHoDQw59LCfEsL8y09zHnXZWlpCVdXVxQWFqKwsBAAoFQqxdFtu3XrZuAIqb111Xz37NkTFhYWbVIXG7NERERERJ2QiYmJ1hWstLQ08ccLjnTc9THfzePUPBKfmqe6ulr8xaer3L5A98ecSwvzLS3Mt/Qw59LCfEuL1PJttFPzKJVKrFy5EhMnToSTkxNkMhmioqJ01ps/fz5kMpnOw9PTU2+96enpCA0NhZOTE8zNzeHu7o5Fixa1894YF3Nzc1hYWEjiDUL1mHNpYb6lhfmWHuZcWphvaWG+m9cpbjMuLCzE3//+d3h7eyM4OBjbtm1rcl1LS0skJSXpLGvs2LFjCAwMxNixY7FlyxY4OjoiOzsbqampbR4/ERERERERdaxO0Zh1c3NDcXExZDIZCgoK7tuYlcvlGD169H3rq6iowAsvvIDx48fj4MGDkMlkYtncuXPbLG4iIiIiIiIyjE7RmG3Y2GwLX375JW7duoUVK1Y0W7e+LsNqtbpN4+nMGt6X3pVGSaOmMefSwnxLC/MtPcy5tDDf0iK1fOtrgzU3vFOnaMw+iMrKSjg7OyM/Px+9e/dGcHAw3nzzTdjb24vr/PjjjwDq5zEaM2YM/vvf/8La2hrPPfcc4uPj4eLiIq6r7wCVl5e3/450Qo07XFPXx5xLC/MtLcy39DDn0sJ8S4tU892lGrPe3t7w9vbG0KFDAQAnTpzAX//6Vxw9ehTJycmwsbEBAOTm5gIAQkJC8NJLLyEmJgaXL1/GmjVr4Ovri7S0NFhZWRlsP4iIiIiIiKh1jKox+/rrr2v97efnhxEjRmDGjBn4+OOPxXLNJepZs2bhL3/5CwDgmWeegbOzM4KDg7F792788Y9/7NjgiYiIiIiIqM10iql5WmPatGmwtrbGqVOnxGUODg4AAH9/f611/f39IZPJkJKS0qExEhERERERUdsyqiuzTREEQWsy3eHDh2PPnj1Nrt9wXblcDmtra61yzfy1RERERERE1P4EQdDpI9uw3aaP0Tdm9+3bh4qKCq3peqZNm4Y1a9bgyJEjmDZtmrj8yJEjEARBa125XN7sQSIiIiIiIqLOpdM0Zo8cOYLy8nJxpK7z589j3759AICAgADk5+cjLCwMs2fPxoABAyCTyXDixAls3LgRQ4YM0eoD6+npicWLF2PTpk3o1q0bJk2ahMuXL2Pt2rUYMWIEZs6caZB9JCIiIiIiorbRaS5JLly4EKGhoQgPDwdQP1dsaGgoQkNDcefOHXTv3h29evXChg0bEBISgqlTpyIxMRFLly7Ff/7zH51bhTdu3Ii3334b33zzDQICAhAbG4vZs2cjKSkJZmZmhtjFTqWsrAzLli2Di4sLLCws4OPjc99bs8m4JSUlITw8HJ6enrC2toarqyumTp2KX375xdChUQfZtm0bZDKZOOo7dT3//ve/ERAQADs7O1haWmLgwIGIiYkxdFjUDlJTUxEcHAwXFxdYWVnB09MTb775JioqKgwdGrWSUqnEypUrMXHiRDg5OUEmkyEqKkrvuikpKZgwYQJsbGzQo0cPTJ8+HZmZmR0bMLVKS/KtUqmwYcMGPPfcc+jTpw+srKzg5eWFiIgIlJSUGCbwTkQmNDd5D3VJEydORHJyMuLi4jBo0CDs3r0b27Ztw65duxAWFmbo8KiNhYaGorCwEKGhoRg8eDDy8/MRHx+Pn3/+Gf/6178wfvx4Q4dI7Sg3NxdDhgyBtbU1SktLUVZWZuiQqI3t3r0bc+fOxcyZMxEWFgYbGxtkZGTg5s2bWLdunaHDozZ0/vx5/O53v8Ojjz6K1atXw9HRET/++CNiY2MRGBiIr7/+2tAhUitcu3YNPj4+8Pb2xqBBg7Bt2zZERkbqNHAuXryIUaNGwcfHBxEREaiqqsK6detQXFyMM2fOwMnJyTA7QA+kJfkuKyuDi4sLnn/+efj5+cHR0REpKSmIjY1F79698fPPP8PS0tJwO2FoAknO4cOHBQDC7t27tZb7+fkJLi4uQl1dnYEio/aSl5ens0ypVAq9evUSnn32WQNERB1p8uTJQlBQkDBv3jzB2tra0OFQG7tx44ZgbW0tLFy40NChUAdYs2aNAEC4evWq1vKXXnpJACAUFRUZKDJqC2q1WlCr1YIgCEJ+fr4AQIiMjNRZLzQ0VHB0dBRKS0vFZdeuXRMUCoWwcuXKjgqXWqkl+a6rqxMKCgp0tv3yyy8FAMLOnTs7ItROq9PcZkwd56uvvoKNjQ1CQ0O1li9YsAA3b97E6dOnDRQZtZeePXvqLLOxscHgwYORk5NjgIioo3z++ec4ceIENm3aZOhQqJ1s27YN5eXleOONNwwdCnUAhUIBALC1tdVa3qNHD8jlcnalMnItmVGjrq4Ohw4dQkhICLp37y4ud3NzwzPPPIOvvvqqvcOkNtKSfJuYmIjTjjY0atQoAJD89zg2ZiUoPT0dXl5eMDXVHv9r+PDhYjl1faWlpUhJScGQIUMMHQq1kzt37mDZsmWIi4tDnz59DB0OtZMff/wR9vb2uHjxInx8fGBqaoqePXvilVdewd27dw0dHrWxefPmoUePHli4cCEyMzOhVCpx6NAhbN26FYsXL9YZQ4S6noyMDFRWVorf2xoaPnw4rl69iqqqKgNERh0pKSkJACT/PY6NWQkqLCyEvb29znLNssLCwo4OiQxg8eLFKC8vx5o1awwdCrWTRYsW4dFHH8XChQsNHQq1o9zcXFRUVCA0NBSzZs3CDz/8gBUrVuCzzz5DQECAzpx9ZNzc3d1x8uRJpKenw8PDA927d0dQUBDmzZuH999/39DhUQfQfE9r6rucIAgoLi7u6LCoA+Xm5iIiIgK///3vMXnyZEOHY1CdZmoe6lj3u6WhudsdyPj9+c9/xq5du/DBBx/gd7/7naHDoXaQmJiIgwcPIjU1le/pLk6tVqOqqgqRkZGIiIgAAIwbNw5mZmZYtmwZjh49igkTJhg4Smor165dQ1BQEHr16oV9+/bByckJp0+fRmxsLMrKyrB9+3ZDh0gdhN/lpKmoqEj8ofKLL76AXC7ta5NszEqQg4OD3quvRUVFAPT/0kddR3R0NGJjY/HWW29hyZIlhg6H2kFZWRkWL16MV199FS4uLuLQ/TU1NQCAkpISKBQK3o7YRTg4OODKlSvw9/fXWj5p0iQsW7ZMnL6DuoaIiAjcvXsXZ86cEd/DTz/9NBwdHREeHo4XX3wRvr6+Bo6S2pOm/2RT3+VkMhl69OjR0WFRByguLoafnx9yc3ORlJSE/v37Gzokg5N2U16ihg0bhgsXLqCurk5r+a+//goAGDp0qCHCog4QHR2NqKgoREVFYfXq1YYOh9pJQUEB8vLyEB8fDzs7O/GRkJCA8vJy2NnZ4YUXXjB0mNRG9PWbAyDeXiz1X+27mjNnzmDw4ME6P0aNHDkSAMe9kAIPDw9YWlqK39sa+vXXXzFgwABYWFgYIDJqT8XFxZgwYQKysrLw/fffN3nulxp+wknQtGnTUFZWhsTERK3l//jHP+Di4oLHH3/cQJFRe4qJiUFUVBTWrl2LyMhIQ4dD7cjZ2RnHjh3Tefj7+8PCwgLHjh1DbGysocOkNhISEgIAOHLkiNbyf/7znwCA0aNHd3hM1H5cXFxw7tw5nfmiT548CQAc7E0CTE1NERQUhP3790OpVIrLs7OzcezYMUyfPt2A0VF70DRkMzMz8d1332HEiBGGDqnT4G3GEjRp0iT4+flh4cKFuHv3LgYMGICEhAR8++23+Pzzz2FiYmLoEKmNxcfHY926dXjuuecQGBiIU6dOaZXzy27XYmFhgXHjxuks37FjB0xMTPSWkfGaOHEigoKC8Oabb0KtVmP06NH4+eefER0djcmTJ2PMmDGGDpHa0LJlyxAcHAw/Pz+8/vrrcHR0xKlTp/DOO+9g8ODBmDRpkqFDpFY6cuQIysvLxYbq+fPnsW/fPgBAQEAArKysEB0djZEjR2Ly5MmIiIhAVVUV1q1bB0dHRyxfvtyQ4dMDai7fMpkM/v7+SE1NxcaNG1FXV6f1Pc7JyQkeHh4Gib0zkAkc5lCSysrKsGbNGuzduxdFRUXw9PTEqlWrMHv2bEOHRu1g3LhxOHHiRJPlPA1Iw/z587Fv3z6dKzpk/CorKxEdHY3du3fj1q1bcHFxwQsvvIDIyEiYm5sbOjxqY8eOHUNcXBzOnj2L0tJSPPLIIwgKCsKqVav0zkdJxsXd3R3Xr1/XW5aVlQV3d3cAwC+//II33ngDJ0+ehKmpKcaPH4/33ntP0g0bY9RcvgGgX79+TW4/b9487Nixoz1CMwpszBIREREREZHRYZ9ZIiIiIiIiMjpszBIREREREZHRYWOWiIiIiIiIjA4bs0RERERERGR02JglIiIiIiIio8PGLBERERERERkdNmaJiIiIiIjI6LAxS0REZGSioqIgk8kMHQYREZFBsTFLRERERERERoeNWSIiIiIiIjI6bMwSERF1YocPH4aPjw/Mzc3Rr18/vPfeezrrfPTRR3j66afRs2dPWFtbY9iwYVi/fj1qa2vFdWJiYmBqaoqcnByd7cPDw+Hg4ICqqqp23RciIqK2ZGroAIiIiEi/o0ePYurUqXjiiSewZ88eqFQqrF+/Hnl5eVrrZWRkICwsDP369YOZmRnS0tLw1ltv4eLFi/jkk08AAC+//DLeeustbN26FbGxseK2RUVF2LNnD5YsWQILC4sO3T8iIqLWkAmCIBg6CCIiItI1evRo5OTkICMjQ2xoKpVKuLu7o6ioCPo+wtVqNdRqNRISErBgwQLk5+fDzs4OADB//nwcOXIEOTk5MDMzAwCsX78eq1atQkZGBtzd3Tts34iIiFqLtxkTERF1QuXl5UhOTsb06dO1rph269YNQUFBWuumpqZiypQpcHBwgImJCRQKBV588UWoVCpcvnxZXO+1117DnTt38OWXXwKob/hu3rwZgYGBbMgSEZHRYWOWiIioEyouLoZarYazs7NOWcNl2dnZGDt2LHJzc/H+++/jp59+QnJyMj766CMAQGVlpbjuiBEjMHbsWLHs0KFDuHbtGpYsWdLOe0NERNT22GeWiIioE7Kzs4NMJsPt27d1yhouO3DgAMrLy7F//364ubmJy8+cOaO33qVLlyI0NBQpKSn48MMPMWjQIPj5+bX9DhAREbUzXpklIiLqhKytrTFq1Cjs379fa5RhpVKJgwcPin/LZDIAgLm5ubhMEAR8/PHHeuudNm0a+vbti+XLl+OHH37AokWLxDqIiIiMCRuzREREnVRMTAxu374NPz8/HDhwAImJiXj22WdhbW0truPn5wczMzM8//zzOHLkCL766iv4+/ujuLhYb50mJiZYvHgxjh8/DisrK8yfP7+D9oaIiKhtsTFLRETUSWkasXfv3sWsWbPwpz/9CSEhIQgPDxfX8fT0RGJiIoqLizF9+nS8+uqr8PHxwd/+9rcm6501axYAYO7cubC1tW33/SAiImoPnJqHiIhIYj744AMsXboU6enpGDJkiKHDISIieihszBIREUlEamoqsrKy8PLLL+Opp57CgQMHDB0SERHRQ2NjloiISCLc3d1x+/ZtjB07Fjt37tQ77Q8REZGxYGOWiIiIiIiIjA4HgCIiIiIiIiKjw8YsERERERERGR02ZomIiIiIiMjosDFLRERERERERoeNWSIiIiIiIjI6bMwSERERERGR0WFjloiIiIiIiIwOG7NERERERERkdNiYJSIiIiIiIqPz//PZDbf5wR5qAAAAAElFTkSuQmCC\n", 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" ] }, "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, [160, 172])" ] }, { "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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PT0efPn2wZMkSLFiwoN37+eyzz/Dss88CAHr16oXs7GzU1NQgMjISBw4c0A30bmhoQHh4OPr164f169cb5RyIiIjaSh7fOIqYrJ6HhwfCwsLQ0NCgN26nrYYPH45u3bohNTUVaWlpcHV1xUMPPYRVq1bpzaWTlZUFrVaLBQsW6AZ/ExERdTa27BAREZFV65THRRARERFJhckOERERWTUmO0RERGTVmOwQERGRVWOyY2FEUURaWlqzMxkTERGRPiY7FkSr1WLXrl3Ytm0bjh49KnU4REREFqFdz8aiztf4TKzGh5SeOHECjo6OiIiIkDgyIiIi88aWHQuh0WhQWVmpV3bgwAHdQzyJiIioaUx2LIRKpUJcXJzeDMUAsGPHDuTm5koUFRERkfljsmNBnJ2dERcXB3t7e12ZVqtFYmIiioqKJIyMiIjIfDHZsTCenp6YOHEiZLL//dep1Wps3rzZoJuLiIiImOxYpICAAEyYMEGvrLq6Gps2bUJtba1EUREREZknJjsWKjg4GKNGjdIrKy0tRWJiIhoaGiSKioiIyPww2bFgERERGDRokF7Z1atXsX37dmi1WomiIiIiMi9MdizcsGHD0KtXL72yzMxM7Nu3j7MsExERgcmOxRMEAVFRUejWrZte+blz55CSkiJRVEREROaDyY4VkMlkiI6Oho+Pj175sWPHcPbsWYmiIiIiMg9MdqyEnZ0dYmNj4erqqle+b98+ZGRkSBMUERGRGWCyY0UcHBwQFxcHBwcHXZkoiti+fTvy8vIkjIyIiEg6THasjKurKyZNmgQ7OztdmUajQWJiIkpKSiSMjIiISBpMdqyQt7c3br/9dr1Zluvq6rB582ZUVVVJGBkREVHnY7Jjpbp27Yrx48frlVVWVmLz5s2oq6uTJigiIiIJMNmxYqGhoRgxYoReWXFxMZKSkjjLMhER2QwmO1ZuwIAB6N+/v17ZlStXsHPnTs6yTERENoHJjg0YMWIEQkJC9MrS09Nx8OBBzrJMRERWj8mODRAEAePHj0dgYKBe+enTp/Hnn39KFBUREVHnYLJjI+RyOW6//XZ4eXnplR85cgQXLlyQKCoiIiLTY7JjQ+zt7TFp0iS4uLjole/evRtZWVkSRUVERGRaTHZsjKOjIyZNmgSVSqUrE0UR27ZtQ35+voSRERERmQaTHRvk7u6O2NhYKBQKXVlDQwO2bNmCsrIyCSMjIiIyPiY7NsrX1xfR0dEQBEFXVltbi02bNqG6ulrCyIiIiIyLyY4N6969O6KiovTKKioqsHnzZtTX10sUFRERkXEx2bFxvXv3xrBhw/TKioqKsHXrVmg0GomiIiIiMh4mO4RBgwahb9++emU5OTnYvXs3Jx0kIiKLx2SHIAgCRo0ahaCgIL3y1NRUHD58WJqgiIjIrGm1WgwcOBBxcXEmPU5qaioUCgWWLl3a7n0w2SEAgEwmw4QJE+Dv769XfvLkSZw8eVKiqIioM2RkZEAQBAiCgMDAwGa7sE+dOqVbLzw8vJOjJGPbtWsXBEFAfHx8u7ZPSEjAyZMn2719a4WGhuKhhx5CfHw8ysvL27UPJjuko1AoMHHiRHh4eOiVHzp0CKmpqRJFRUSdRaFQIDc3F4mJiU0u/+abb/SmrCDbpdFosHjxYowbNw6RkZEmP95LL72EgoICfPrpp+3anskO6VEqlZg0aRKcnJz0ynft2oWcnByJoiKizjBq1Ci4ublh5cqVBsvq6+vx/fffm7zLgizDpk2bkJWVhYcffrhTjhcREYGBAwfi66+/hlarbfP2THbIgLOzM+Li4qBUKnVlWq0WSUlJKCwslDAyIjIlBwcHzJgxAxs3bjSo6xs2bEBhYSFmzZrV7PZ79uzB5MmT4e3tDaVSibCwMLz22msGc3fV19fjs88+Q0xMDLp16walUglfX1/cfffdOH78eJP7/vXXXzFu3Dj4+vpCpVKhW7duiI2Nxbp163TrJCQkQBAEJCQkGGzfXJfN9eUHDx5ETEwM3N3d9eYga8u5Xb+/AwcO4NZbb4WLiwt8fHzw5JNPoqamBgCwZcsWjB49Gk5OTujSpQtefvnlZrsPW3Ps64+bkpKCmJgYuLi4wM3NDdOmTUNGRobePuPj43HrrbcCABYvXqzrnhQEwWDdpjS+1/fcc49eeVBQkN6+mno19f/TGtOnT0dWVha2b9/e5m2Z7FCTPDw8EBMTA7lcritTq9XYvHlzu/tMicj8zZ49W9eKc72VK1fC19cXd955Z5PbffXVVxg/fjwOHDiAO++8E88++ywCAwPx1ltv4fbbb9ebu6u4uBjPPfcc6urqEBcXh+effx7jx4/Hpk2bMGrUKBw9elRv319++SXuvfdeXLx4EdOmTcMLL7yA6OhoZGdn6yU7HXHgwAGMGzcOADB37lzMmDGjXefW6PDhw7jtttvg5uaGefPmoXv37vjyyy/x2GOP4eeff8bdd9+Nbt26Yd68eXB3d8d7772Hd999t0PvKwAkJydj7NixUCgUmDdvHoYOHYp169YhOjoatbW1uvXGjx+PRx55BAAwbtw4LFq0SPdyd3dv8b0SRRG7du1CeHj4Tdc1ppEjRwIAduzY0faNRaIWpKeni8uXLxeXLVume61Zs0asrq6WOjQiMpL09HQRgBgTEyOKoij269dPHDBggG755cuXRblcLr744ouiKIoiALF379665adPnxYVCoV4yy23iEVFRXr7fuedd0QA4gcffKArq62tFS9fvmwQx19//SU6OzuL0dHReuWDBw8W7e3txfz8fINtCgsLdX//9ttvRQDit99+a7Dezp07RQDiokWLmiwHIH7zzTcG27X13K7f37p163Tl9fX14oABA0RBEERvb2/xyJEjumXl5eWir6+v6OXlJarV6nYd+/rjrlmzRm/dhx9+WAQg/vjjj616T27m9OnTIgDxoYceMli2fPly8f3339d79ejRQxebQqEQDxw40KbjNSovLxcBiFFRUW3eli071KKgoCCMHj1ar6ysrAxbtmyBWq2WKCoiMqVZs2bh5MmTOHbsGIBrXRYajQazZ89ucv1ly5ahoaEBn376KTw9PfWWLViwAD4+Pvjxxx91ZUqlEoGBgQb76devH2699Vbs2bPH4PvFzs4OdnZ2Btt4eXm1+fyacssttzR5fm09t0bjx4/HlClTdP+2s7PDvffeC1EUMXnyZL3JXF1cXHDnnXeiqKgIly9f7tCxo6Ki9FqlAOjO68YWs/ZqjLFLly4Gyx577DHMnz9f96qtrUVmZqZu+YoVK3QtNMD/ur1ac0eXi4sLVCqV3nvUWhxWTzfVt29fVFdXIyUlRVdWUFCAbdu2ISYmBjIZc2Yia/Lwww/jlVdewcqVKzFkyBAkJCRg+PDhBpOPNjp06BCAa+NQtm3bZrDczs4O586d0ys7ceIE3nvvPezbtw95eXkGyU1hYaFuKozp06dj4cKFiIiIwP3334/x48djzJgxRu1Cae6OovacG3AtebpR4/kMGjSo2WU5OTm6Oc/ac+zBgwcbrNe1a1cAQGlpqcGy9igqKgIAgzt3b7RixQq8/vrrun//61//0nWdtZenp2e7xo4y2aFWGTJkCKqrq/UqVnZ2Nvbs2YNx48YZDOYjIsvl6+uLuLg4/Pjjj7jrrruQmpqK+fPnN7t+cXExAOCtt95q1f4PHDiACRMmAAAmTpyIsLAwODs7QxAErFu3Dn/++Sfq6up06y9YsABeXl746quv8NFHH+HDDz+EQqFAXFwc/v3vf6Nnz54dONtrmmqlANp+bo1cXV0Nyhpv229p2fVJX3uO7ebm1uy+jfUIIAcHBwDQDbZuyrp16/D444/r/v38889jwYIFHT52TU0NHB0d27wdL8mpVQRBwJgxY9C9e3e98gsXLiA5OVmiqIjIVGbPno2SkhI8+uijcHBwwAMPPNDsuo0/3uXl5RBFsdlXo7feegt1dXXYvn07NmzYgA8//BCLFy9GfHw8/Pz8DPYvCALmzJmD5ORkFBQU4Pfff8fdd9+NDRs24I477tD9iDe2Mjc0NBjso6ysrMXzbe6Cra3nZkxSHrslPj4+AP6XjN1o7969eOCBB3T/Lw8++CA+/PDDVu17x44dUKlUEAQBixYt0lum1WpRVlamO35bMNmhVpPJZIiOjoavr69e+fHjx3H69GmJoiIiU4iLi4Ofnx9ycnJwzz33NNka0Wj48OEA/tftcjOXLl2Cp6enwXjAG7vLm+Ll5YWpU6di7dq1mDBhAs6ePaub9LSxW6WpOcGau6X9Ztp6bsZk6mM33m3b1haffv36QSaT4eLFiwbLTp06hbvuukt359fEiRN1t6nfzJEjRzBlyhTU1dXh1VdfxeLFi/WWX7x4EVqtFv37929TvACTHWojhUKB2NhYg6bS/fv3Iz09XaKoiMjYFAoFNmzYgN9///2m3ShPPvkkFAoFnnnmGWRnZxssLy0t1Us2evTogZKSEr2LJI1Gg/nz56OgoMBg+8TERIPWGrVarWtZaOxWGTx4MARBwJo1a/Rus7548SI++eSTVpx1x8/NmEx97MZBz20d8Ovu7o4BAwYgOTlZr2WpvLwcMTExurFBdnZ2GDVqFD755BN88MEHuldTF8dnzpxBXFwcKisrsXDhQrz55psG6zQ+q7FxioC24JgdajOVSoW4uDisX79eb1KrHTt2IC4uzuD5WkRkmYYNG6Z311BzIiIisHTpUjzxxBPo3bs34uLiEBISgvLycqSlpWH37t2YOXMmvvrqKwDAM888g6SkJIwZMwbTp0+HSqXSzdI+fvx47Nq1S2//M2bMgKOjI8aMGYMePXpArVZj69atOHPmDGbMmKHrXg8MDMSMGTOwZs0aDBkyBLGxscjPz8fvv/+O2NhY/Prrr21+D9p6bsZk6mOHh4cjICAAa9asgaOjI7p27QpBEPDEE080OfbnelOnTkV8fDyOHj2qG9xdXFyMK1eu6NZRq9VN3mXl7e2Nfv366ZX9/PPPAK51eb3zzjtNHnPr1q2Qy+XNzvXUErbsULu4uLhg0qRJereCajQaJCYmNtuPS7ZDFEWo1WrU1NSgvr4eDQ0N0Gq1kowvoM7x2GOP4eDBg5gyZQoOHjyIjz/+GL/88gsKCwvx/PPP47nnntOte+edd+KXX35BcHAwVq9ejR9++AHh4eE4cuQIevToYbDvd955B8OGDcORI0fw+eefY/Xq1XBxccGyZcuwevVqvXW/+eYbPPPMMygqKsIXX3yBkydPYvny5Xj66ac75dyMzZTHlsvl+O233zB8+HD85z//wT//+U+88sorKCkpuem2c+bMgVwuN3j/26vxEUX//e9/m3z4dHV1NdatW4fJkycjICCgzfsXRH77UAfk5uZi06ZNes8qcXJywpQpU+Ds7CxhZGQKtbW1KCkpQWlpKWpra1FXV6f7s/HV+O/mnl8jk8l0L7lcDplMBgcHBzg7O8PJyUnvT2dnZzg6OnJ6AyIz9OCDDyIpKQmZmZkGz1NsraCgIGRmZuKVV17BgQMHsHv3bvj7++PgwYN6ie/KlSvx6KOPYvfu3YiKimrzcZjsUIddunTJ4Fkl7u7uuOuuu6BSqSSKitpLFEVUV1ejtLQUJSUluuSmpKREbxxEZxEEAY6OjnB1dYW3tzd8fHzg6+sLFxcXTnlAJKH09HT06dMHS5Ysafdt5Y3JzqJFi/CPf/wDo0ePxtmzZ9G7d2/s27cP3t7eaGhoQHh4OPr164f169e36zgcs0MdFhISgpqaGhw4cEBXVlpaisTERNxxxx26OR7IPGm1WhQUFCA3Nxe5ubkoKCho8lk/UhFFEVVVVaiqqtIbD6BUKvWSH29vbzg5OTEBIuokPXv2xKpVq4z2gGgPDw9s2rQJI0eOxPnz53HnnXdi+/btKCgowN/+9rcOPWGdLTtkNIcPH8aff/6pVxYUFITo6Gh2Q5gRrVaLoqIiXXLT1Oy1lsrR0RGBgYHo3r07unXrBnt7e6lDIiIzwGSHjEb8/0/CvXHuhT59+mDMmDG84pZQVVUV0tPTkZOTgytXrphVy42pCIIAf39/dO/eHd27d+/UpzMTkXlhskNGpdVqsWXLFoN5G4YOHdrkM1vIdKOeYWQAACAASURBVGpra5Geno7U1FS97h9Tsbe3h0qlglKphFKphEqlgkKhgFarbfal0WjQ0NCA6urqFqeeNwY3Nzd0794dPXr0gJ+fH1sbiWwIkx0yOrVajT/++MNgcrCoqCiEh4dLFJVtUKvVyMjIwKVLl5CdnW20W70FQYC7uzvc3d3h4eEBDw8PODs765Iae3v7DicPjUlPZWUlqqqq9P6srKxESUmJ0c5HqVQiLCwM4eHhBk+TJiLrw2SHTKKmpgbr169HeXm5rkwQBEycOLHJeTSo/TQaDbKzs5GamorMzMwOP+zPzc0N3t7e8PDw0CU3bm5ukreENDQ0oKioCAUFBSgoKEBhYWGr5gO5GV9fX4SHhyM4OJhjfIisFJMdMpny8nKsX79er3uicfbL5p4wTK1XU1ODs2fP4vTp0x3qAnJ2dkZAQIDuZUnzI6nVahQWFqKgoAD5+fnIycnRe1p2WygUCoSEhCA8PBy+vr4cY2aDamtrUV5ebvD8P7J8THbIpAoKCrBx40a959oolUpMmTKFA0bbqbi4GKdOnUJqamq7WnEcHR31khtrmq9Gq9UiPz8fWVlZyMzMbHfLj4eHB3r37o3evXtDqVQaOUoyR+Xl5di8eTOqq6sxZcoUdm9aGSY7ZHKXL1/G5s2b9cZbODs7Y8qUKe2eddPWiKKI7OxsnDp1qsknOt+Mi4sLQkJCEBISAk9PT6tJbm6moqICWVlZyMrKQk5OTrOzOjfHzs4O/fr1Q//+/XUPmyTrc/XqVSQmJuomzXR2dsbUqVPh6OgocWRkLEx2qFNcvHgRO3fu1Cvz9PTEXXfdxXESLVCr1bhw4QL++usvlJWVtWlbBwcHBAcHIzQ0lN0yuPZe5uTk4OLFi8jMzGxT4iOXy9GnTx8MHDiQCbqVSUtLw86dOw1aSXkHqXVhskOd5s8//8Thw4f1yvz9/REXFwe5XC5RVOapoaEBp0+fxokTJ9o0BsXe3h5BQUEIDQ1FQECA5IOKzVVNTQ0uXryIc+fOobS0tNXbyWQy9OrVC4MGDYKrq6sJIyRTE0URJ0+eNPhOAoDBgwdjyJAhNn+BYE2Y7FCnEUURBw8exF9//aVXHhwcjNtuu41fLLg25uT8+fM4duwYqqurW72dn58fIiIi0KNHDyaObSCKIq5evYpz584hLS1Nb2xZSwRBQEhICG655RZ4eHiYOEoyNq1Wi/379+Ps2bN65TKZDFFRUejVq5dEkZGpMNmhTiWKIrZv3460tDS98oiICIwcOdJmEx5RFJGeno6jR4+2uruq8Qe3f//+8PHxMXGE1q++vh6XLl3CuXPnDOaIaklwcDAiIyPZ0mMh6uvrsX37dmRnZ+uV29vbY+LEiQgICJAoMjIlJjvU6TQaDTZv3ozc3Fy98sjISAwaNEiiqKQhiiJycnJw5MiRVj9MT6lUok+fPujXrx/Hj5hIXl4ejh8/bvCD2ByZTIYBAwZg0KBBHINmxiorK5GYmIiioiK9chcXF8TGxrKVzoox2SFJ1NfXY+PGjQZfOuPHj7eZJuT8/HwcOXLEIOlrjru7O/r374+wsDA+Sb6TFBYW4vjx40hPT2/V+g4ODoiMjESvXr1stpXSXBUWFmLLli0G3cM+Pj6IiYnhnVdWjskOSaa6uhrr1q1DZWWlrkwQBMTGxqJbt24SRmZa1dXVOHjwIC5dutSq9b29vTF06FB069aNP6ASKSkpwYkTJ5CamtqqR1Z4e3tj1KhR8PPz64To6GaysrKwfft2qNVqvfKgoCBMmDCBFw82gMkOSaq0tBTr16/Xu+NIoVBg8uTJVjcORRRFnD17FkeOHGnVU8fd3NwwdOhQBAcHM8kxE+Xl5fjzzz9x/vz5Vt26HhwcjOHDh8PFxaUToqOmnDlzBvv37zdIUgcMGIDIyEjesWgjmOyQ5K5evYo//vhDb54LlUqFKVOmwM3NDcC1W4UVCgXs7OykCrNDiouLsXfvXly9evWm6zo6OmLIkCHo3bs3v4jNVFVVFVJSUnDu3LmbtvTI5XLdeJ6mPr8ajQZlZWWcsdfIRFHE4cOHcfLkSb1yQRAwatQo9OvXT6LISApMdsgsZGZmIikpSe+Hw8XFBVOmTEFDQwM2bdqEUaNGoXv37hJG2XZqtRopKSk4efLkTX8U7e3tMWjQIERERLBZ3UIUFRXh4MGDrRp35eLigrFjx6Jr16565Y3jtqZMmcIWPCNpaGjAjh07kJGRoVeuUCgQHR1tcd8j1HFMdshsnDt3Dnv27NEr8/T0RE1NDWpqahAREYFRo0ZJFF3bZWVlYf/+/aioqGhxPblcjv79+2PgwIF8DpMFEkURmZmZOHToEMrLy2+6fq9evTBixAioVCrk5+dj/fr1EEUR0dHRCA4O7oSIrVt1dTWSkpKQn5+vV+7o6IjY2Fh4e3tLFBlJickOmZWUlBQkJyc3uczd3R3Tp0/v5IjarqqqCgcPHjSYS6gpwcHBGDlyJG8htwIajQZ//fUXUlJSDAbC3sjBwQEjRozAiRMndA8rdXFxwfTp0zkpZAeUlJRgy5YtBhcYnp6eiI2NhbOzs0SRkdSY7JBZEUUR+/fvx5kzZ5pc/uCDD5r1F1Zqair27dt30wHILi4uGD16NJvTrVB1dTWSk5Nx7ty5Nm87YsQIDBgwwARRWb/c3FwkJSUZ1L1u3brhtttu4/xHNo4DA8isCILQ4p0r2dnZ6NOnTydG1Dr19fXYt28fUlNTW1xPEAQMGDAAQ4YM4bgcK+Xo6IioqCj07dsX+/fvb9Wg9EbHjx9Hr169oFKpTBih9blw4QL27NljcIdcnz59MHr0aA70J7bskPkQRRGHDh3CqVOnml0nODgY0dHRnRjVzV29ehU7duy46dgcX19fjB07Fl5eXp0UGUmtcbqBw4cP37Rrq1H//v0xcuRIE0dmHURRxLFjx5CSkmKwbPjw4RgwYAAHfRMAtuyQGRFFET4+PggICGj27pacnBxotVqzuFLTarU4ceIEjh071uKdVvb29oiMjESfPn34xWtjBEFA37590b17d+zbtw9ZWVk33eb06dOIiIjg3Dw3odFosGfPHly8eFGvXC6X49Zbb+Vgb9LDlh0yS2VlZTh37hwuXLiAmpoavWVTp06Fr6+vRJFdU1FRgZ07dyIvL6/F9YKDgzFq1ChORU8QRREpKSk4duzYTdft3bs3xo0b1wlRWaa6ujokJSXhypUreuUqlQoxMTHo0qWLRJGRuWKyQ2ZNq9UiMzMTZ8+exeXLlwEAQ4cOxeDBgyWLqTWDkO3t7TF27FiEhIR0YmRkzjQaDX777Tfd3VctEQQB06dP102qSf9TXl6OzZs3o6ysTK/czc0NkyZN4tPnqUnsxiKzJpPJ0LNnT/Ts2RMVFRU4f/58q34sTKG+vh4HDhzAhQsXWlzPz88Pt956K7shSE9KSkqrP7uNY1EmTJhg4qgsy9WrV5GYmIja2lq9cn9/f9x+++0c2E3NYssOWRxRFDt97EtJSQmSkpIMriavJwgChgwZgkGDBpnFmCIyH4WFhfj9999b9RDR6913333w8PAwUVTmq6k6npaWhp07d+o9VgYAQkNDMW7cOM5PRC1iskN0E2lpadi1axcaGhqaXcfFxQUTJkzgWAFqklarRVVVFSoqKpp8VVVVNbmdOd592BmOHz+Obt26wdvbG6Io4uTJkzh8+LDBeoMHD8aQIUM48J9uit1YJBm1Wt3iS6vVQhRF3UsQBN1LJpPBzs5O97K3t9f7uzGu8rRaLY4cOWLwIMEbhYWFYfTo0Zy0jJolk8ng4uLSbNdmfX09iouLUVxcjKKiIt3f09LSUFhY2KZHHKjVatTX1zdbr66vUzfWK7lcrlevbqxjndF6otFocOrUKZw+fRp33XUX/vzzT5w9e1ZvHUEQMG7cOPTq1cvk8ZB1YMsOdYr6+npUV1frXlVVVS22lHSUvb09HB0d4ejoCCcnJzg6OrZpEj+tVotNmza1+IBHOzs7jB07FqGhocYImUiPKIqoqKiAKIrNDlSuq6vTq1fV1dUmrVdKpdKgXhk7Abp48SJ27twJ4Npt5Dd2W9nb2+P2229HYGCgUY9L1o0tO2QSdXV1KC0t1TXRm/ILuCn19fWor69HaWmprqwxAXJzc4Obmxvs7Oya3V4mk8HPz6/ZZMfHxwfR0dEchEwmIwiCwZ1FNTU1KCsrQ0VFhckTm6bU1dWhrq5Ob6C1UqmEk5MTXF1d4ebm1uGZwa9/VMyNiY6LiwtiY2NtchwTdQyTHTIKURRRVVWFsrIylJaWGtwtYQ5uTICcnJzg5uYGd3d3ODg4GKw/ZMgQFBcXIyMjQ6+8T58+GDVqFAdEksmJoojKykqUlpairKwMdXV1UodkoDEBKi4uBgA4OzvD3d0dbm5ubb47qrCwsNnHa/j4+CAmJoZzVlG7sBuLOqSyshKFhYUoKyvr9KtMY7K3t4e7uzu8vb31Ep/6+nqsX78eJSUlkMvlGDNmDHr37i1hpGTtGruvioqKUFZWZtC6YUmUSiU8PDzg7e0NpVJ50/X37NnT7ANUpZ5fiywbkx1qM41Gg+LiYhQUFBjMbmwNnJ2d4ePjAw8PDwiCgLKyMmzbtg1RUVHw8fGROjyyUg0NDSgqKkJBQYFZtuB0lKurK3x8fODm5tbk3VN1dXVYvXp1i8ndbbfdxok6qV2Y7FCr1dTUoKCgAEVFRQZPF7ZGCoUC3t7e8PHxgZ2dHW9vJZOoqqpCQUEBiouL2zwPjyWyt7eHt7c3vL299cbNnTp1CgcPHmxyG7lcDj8/P3Tr1g39+/dnXaQ2Y7JDN1VZWYnc3NybPtXbmnl4eCAgIIAztJLRlJeXIzc3t9k5dqydIAjw9PREQEAA7Ozs8NNPP+km7ZTJZOjSpQsCAgIQEBAAX19fjpGjDmGyQ82qqalBTk5Oi7MG2xovLy8EBARwTh1qt6qqKuTk5Nj0xcP1GufNyszMRGBgoC656ehdXUTXY7JDBurr65Gbm4uioiKpQzFLgiDA19cXfn5+/EKmVqutrUVOTo7edAh0jSiKkMvl6NKlC7p06cJWHDI6Jjuk09DQgCtXrqCgoMAmxg501PVfznwWFjVHrVYjNzcXhYWFUodiERQKBfz9/eHj48OxOWQ0THYIAFBWVobMzEyo1WqpQ7E4KpUKQUFBcHJykjoUMjNFRUXIzs626NvHpeLk5ISgoCCOkyOjYLJj4xoaGnD58mV2WRmBn58f/P392cpDUKvVyMzM5Hi3DhIEAQEBAejSpQtbeahDmOzYMLbmGB9beai4uBhZWVlszTEitvJQRzHZsUEajQbZ2dlszTEhPz8/BAQE8GrUhqjVamRlZXEAsomwlYc6gsmOjamtrcWlS5fM8tlV1sbZ2RkhISG8Y8sGVFdXIzU1la2kncDNzQ09e/bkHVvUJkx2bEh5eTnS0tLYvN6J7O3tERISwocXWrHGh8Xyq7TzqFQqhIaGtup5W0QAkx2bcfXqVVy+fFnqMGySTCZDUFAQPDw8pA6FjEgUReTm5iIvL0/qUGySXC5HcHAwXF1dpQ6FLACTHSun1WqRlZXF8TlmwN/fH/7+/hxvYAU0Gg3S09N5t5UZ6NatG3x9faUOg8wckx0r1tDQgNTUVJt99o45cnd3R8+ePXl7ugWrr6/HxYsXOe7NjHh7e6N79+68kKBmMdmxUmq1GhcvXkRNTY3UodANXF1dERISwoTHAtXV1eHChQuor6+XOhS6gaenJ4KCgpjwUJOY7FghtVqNCxcu8MrTjLm4uCAkJIR3lFiQ2tpaXLhwgXdcmTEPDw/07NmTCQ8Z4KWllVGr1Th//jwTHTNXUVGB1NRUaLVaqUOhVmhs0WGiY95KSkqQlpbGO+PIAJMdK9LQ0IALFy6grq5O6lCoFSorK3Hp0iUmPGaOiY5lKS0tRXp6OhMe0sNkx0poNBp2XVmgxrmP+MVsnhrHvnGMjmUpKSlBZmam1GGQGWGyYwVEUURaWhoHI1uosrIyZGdnSx0G3UCr1SI1NZUtpRaqqKgIV65ckToMMhNMdqxATk4OysvLpQ6DOqCgoAAFBQVSh0HXyczMRHV1tdRhUAfk5ubyWWUEgMmOxSsqKsLVq1elDoOMIDs7GxUVFVKHQQDy8vJQXFwsdRhkBOnp6Wz1JiY7lqyqqor90laksTuS40OkVVZWhpycHKnDICNp7I5saGiQOhSSEJMdC1VfX49Lly5xYKuVaZz1mg9rlUZtbS3S0tKkDoOMrL6+njcC2DgmOxaosQWAt8Jap5qaGrbYSUCj0XDuIytWUVHBhyHbMCY7FigvL4/Pu7JyJSUlKCkpkToMm5KTk8M7r6xcfn4+x8XZKCY7Fqampoa3U9qIrKwstt51koqKCt4NZyMyMzPZemeDmOxYEFEUkZGRwX5nG9HQ0MD5dzqBRqNBRkaG1GFQJ6mrq+MAdBvEZMeC5OXlcd4PG8PuLNPLycnhHXA2ht1ZtofJjoVg95XtYneW6bD7ynaxO8u2MNmxAOy+sm3szjINrVbL7isbxu4s28JkxwKUlJSw+8rGlZSU8A48IysoKGD3lY0rKCjgHXg2gsmOmRNFkVcfBAD8HBiRRqNhtzBBFEXk5uZKHQZ1AiY7Zo5Xn9SooqKCD3w1kry8PM5STQCA4uJitpzbACY7ZoxXn3SjnJwcjt3qILVajfz8fKnDIDPCVlPrx2THjOXn5/PhdaSnurqat6J30JUrV3gXDukpLy/nrehWjsmOmWpoaEBeXp7UYZAZys3NZetOO9XV1aGwsFDqMMgMsXXHujHZMVP5+fm8+qQm1dXVsXWnnfLy8pgoUpOqqqrYumPFmOyYIVEUefVJLeJEeG2n0WhQXFwsdRhkxlivrBeTHTNUWlrKGXOpRZWVlaipqZE6DItSVFTE1lJqEb97rReTHTPEqwtqDd5R1DasV3Qzoijyc2KlmOyYmdraWvYbU6sUFxdzrphWqqioQG1trdRhkAUoLCzkuC4rxGTHzPCqglpLq9WiqKhI6jAsAusVtZZarUZpaanUYZCRMdkxI/zxorbij/jN8ceL2or1yvow2TEj5eXl7JagNqmtreVA5ZsoLS1ltwS1SUVFBSd0tTJMdswIrz6pPcrKyqQOwayxXlF7sF5ZFyY7ZkIURVYuahf+mDdPo9FwwD+1C+uVdWGyYyaqqqrYbErtUlVVxblBmlFeXs4uLGqX8vJyzstkRZjsmAleRVBHsFWwaXxfqL20Wi1bBa0Ikx0zwS9l6ggmy4bYNUwdxXplPZjsmIG6ujpOeEYdUlFRwSb3G7BrmDqKybL1YLJjBiorK6UOgSycVqvlLeg3YL2ijlKr1aivr5c6DDICJjtmoLq6WuoQyApUVVVJHYJZYb0iY2C9sg5MdswAv5TJGPg50sf3g4yBnyPrwGRHYqIoWmxl2rhxI4YOHap7DR8+HHFxcVi8eHGnPJE7OTkZQ4cORXJysq4sPj4ekydPbvO+fv75Z2zcuNGY4XU6S/0cmYJGo0FdXZ3UYbTZsmXLMHTo0GYHxk6fPh1z58412vHaW18A66gzrcF6ZR0UUgdg62pray1+YOmiRYsQFBSEuro6pKSkICEhASkpKVizZg0cHBw6NZY5c+bg/vvvb/N2P//8M9zd3dv9xW8OampqoNVqIZPxGoY/UKZnDXWmNfhZsg5MdiRmDRUpJCQEffv2BQAMHToUWq0WK1aswK5duzBp0iSD9Wtra6FUKiEIgtFj6dq1q9H3aUlqamrg5OQkdRiS4zgLMpaGhgbU19fD3t5e6lCoA5jsSMwakp0bRUREAACuXLmCjRs3YvHixfj888+RmJiIvXv3orS0FPv374dSqURWVhaWLVuGI0eOoLKyEoGBgZg+fTqmT5+ut8+MjAx8+OGHSElJgUqlwm233YYxY8YYHDs+Ph7Hjh3Ta17XarX46aefsGHDBmRmZsLOzg5BQUGYNWsWxo0bh8mTJ+PKlSsAriVrAODv72+RTfRVVVVMdmCd9epGycnJePzxx7FkyRKcO3cOiYmJqKysRL9+/fDCCy8gPDxcb/2NGzfi22+/xZUrVxAYGIiZM2c2ud/ly5dj//79yM7OhkajQdeuXXHfffdhypQpuguUm9WZyspKrFixAjt27EB+fj48PDwQHR2NJ598stNbe42hqqqKyY6FY7IjMUscV3Azly9fBgB4eHjoypYsWYLRo0djyZIlqKmpgUKhQFpaGmbPng0/Pz8899xz8PLywqFDh/DBBx+gtLRUNzahqKgIc+fOhUKhwMKFC+Hp6YktW7bgvffea1U88fHx2Lx5M6ZMmYJ58+bBzs4O586d031Zv//++3j55Zfh7OyMhQsXAgDs7OyM+ZZ0Gmv8PLWHLb0PX3zxBcLDw/Haa6+hsrISy5cvx7x58/D999/rWjobLzrGjRuH559/XrdefX29QbfnlStXcPfdd8PPzw8AcOrUKbz//vsoKCjAY489BqDlOlNbW4u5c+ciPz8fs2bNQlhYGNLS0vDVV18hNTUVS5cuNUmrrinZ0ufJWjHZkZg1zOGg1Wp1Tb0pKSn45ptv4OTkhKioKBw4cAAAMGzYMLz66qt623388cdwcnLCihUr4OzsDAAYMWIE6uvrsWrVKtx///1wdXXFDz/8gJKSEnz//ffo1asXAGD06NF46qmnkJeX12Jsx48fx6ZNmzB79mw8+eSTuvJRo0bp/h4eHg6lUgknJyf079/fKO+JVPiMrGts6X3w8PDABx98oEsgBg0ahGnTpiEhIQGvvfYatFotli5divDw8CbX8/Hx0dvfokWLdH/XarUYMmQIAODHH3/EnDlzIAhCi3VmzZo1SE1NRUJCgq57OzIyEj4+Pnj55Zdx4MABjB492mTvhynY0ufJWjHZkZg1VKIbm8NDQ0OxcOFCeHl56comTJigt05dXR2OHDmCe++9FyqVSm+m29GjR+Onn37CqVOnMHr0aCQnJyM4OFiX6DSKjY3F4cOHW4ytMdm6sVvMWlnD56mjRFG0qfchNjZWr6XE398fAwYM0N2lmJmZiYKCAjz00ENNrtfYwtno6NGj+Pbbb3H69GmDsU/FxcV69bope/fuRUhICHr16qVXr0eOHAlBEHDs2DEmO9TpmOxISBRFq5jOfvHixejZsyfkcjm8vLzg7e1tsM6NZWVlZdBoNFi7di3Wrl3b5H4bb78tKytDQECAwfKbfekCQElJiS4uW8AvZVh0nZLL5QCu3TrfFI1GA4VC/2u7qc+2l5cXLl68COB/jzxobr3rk52//voLTz/9NIYMGYLXXnsNvr6+sLOzw65du7By5cpWdecUFxcjOzsbI0aMaHK5JT5vivXK8jHZkZC1VKCePXvqmqubc2MfvaurK+RyOeLi4nDfffc1uU1jguPm5oaioiKD5U2V3cjDwwMajQZFRUVNJmHWxlo+Ux1hye9BY0JSUFBgkJyIoojCwkKDutZc3XBzcwMA3Z+tqUNJSUlQKBT4+OOPoVQqdeW7du1q9Tm4u7tDqVTijTfeaHa5pbHkzxRdwwk5JGTLFUilUmHIkCE4f/48wsLC0LdvX4NX45fi0KFDkZaWhgsXLujtY8uWLTc9TuPYnF9++aXF9ezt7a1iEKJWq222VcBWWPI4uGHDhkEQBCQlJRksO3DgAKqqqhAZGalXnpiYCFEUdf++cuUKTp48qRtr06NHD3h7eze73vUEQYBcLte1MAHXBhxv2rTJIJ7m6syYMWNw+fJluLm5NVmvm2qlNXe2/F1tLdiyIyFbr0Dz58/HnDlzMGfOHNx7773w9/dHdXU1srOzsXfvXnz11VcAgAceeAAbNmzAc889hyeeeEJ3N1ZGRsZNj3HLLbcgLi4O33zzDYqKijB27FjY29vj3LlzUKlUugkIQ0NDkZSUhKSkJAQGBkKpVCI0NNSUp28yarVa78fK1lhyveratSumT5+O//znP6ioqMDo0aOhUqlw+vRprFq1Cn379kVsbKzeNsXFxZg/fz6mTZuGyspKLFu2DEqlErNmzQIAyGQyPP7443jzzTd161VUVGD58uUGrUdjxozB999/j1dffRXTpk1DWVkZVq9e3eRt183VmQcffBA7duzA3Llz8cADDyAsLAyiKCIvLw+HDh3C3/72N930FJai8SLCluuVpWOyIyFLHltgDMHBwVi9ejVWrFiBL7/8EsXFxXBxcUG3bt30BjB6e3tj+fLl+OCDD/Duu+9CpVJh/PjxWLBgAV588cWbHic+Ph7h4eFYv349/vjjDyiVSgQHB+t+DABg3rx5KCwsxFtvvYWqqiqLnWcH4OfK0s9//vz56NmzJzZs2IDNmzdDo9HA398f9913Hx599FGDaRGeeuopnDlzBosXL0ZVVRX69euHt99+W2+CzalTpwIAvvvuO7z00kvw9/fHrFmzkJKSgmPHjunWGzZsGN544w2sWrUKL7zwAnx8fDBt2jR4eHjg//7v//SO21ydcXBwwIoVK5CQkIDff/8dubm5UCqV8PPzQ2RkJPz9/U347plOQ0MDkx0LJojXt2tSpyooKEBWVpbUYZCV6dWrF1xcXKQOQzK5ubkGdxhZo8ZJBd99911ER0dLHY7V69evH1QqldRhUDtxzI6EmGeSKdj658rWz59Mg58ry8Zkh8jK8EuZyPhYrywbx+wQEVmgoUOH6iYOJKKWsWWHyMpY2nOHiCwB65VlY8uOhGyl8vz1119ISEjA2bNndXdcBQYGYsCAAXj++ecBAD///DNUKhUmT54scbSWz1Y+V82xlfNnvepctvK5slZMdiRkC5Vn3759eOGFFzBkyBA8++yz8Pb2RmFhIc6ePYukpCS9L2V3d3d+KRuBLXyuWmIL58961fls4XNlzZjsSOjGZ9xYo++++w4BAQH47LPP9M43JiYGzz77rISRWS9b+Fy1xBbOnTYcJgAAIABJREFUn/Wq89nC58qa8X9PQjdODmaNSktL4e7u3uQXhUx2bcjY5MmTdfOiDB06FAD0JvWrrKzEihUrsGPHDuTn58PDwwPR0dF48skn4eDgoNvf0KFDcd999yE0NBTff/89rly5gq5du2LOnDmIiYkx9amaDVv4XLXEFs6f9apzyWQyTiho4ZjsSMgWvpQHDBiAdevW4f3338ekSZMQHh5u8AX9/vvv4+WXX4azszMWLlwI4H/vTW1tLebOnYv8/HzMmjULYWFhSEtLw1dffYXU1FQsXbpUr3l5z549OHbsGObNmwcHBwf88ssvePXVVyGXy21i4jV+KaPJRxtYG9arzmUL39XWjsmOhGyhAj399NPIyMjA2rVrsXbtWigUCvTt2xdRUVGYPn06HB0dER4eDqVSCScnJ/Tv319v+zVr1iA1NRUJCQm6pz1HRkbCx8cHL7/8Mg4cOKD3aInS0lJ89913umf+jB49GjNmzMAXX3zBL2UbYQvvAetV57KFz5S1463nEhIEwer7gd3d3bFixQp89913ePrppzFu3DhkZWXh888/x/3334/S0tIWt9+7dy9CQkLQq1cvNDQ06F4jR46EIAh6z/UBrn1hX/9wQ7lcjttvvx3Z2dm4evWqSc7RnPBL2TbGVrBedS7WK8tn/d8KZs7Ozs7iH1zYGn379tVdQTY0NODTTz/FDz/8gFWrVuEf//hHs9sVFxcjOzsbI0aMaHL5jV/qNz7F+fqysrIydOnSpb2nYBH4pXztIsLOzs6in37eWqxXnYP1yvIx2ZGYvb09ampqpA6jUykUCsydOxc//PADLl261OK67u7uUCqVeOONN5pdfr2ioiKDdRrL3Nzc2hmx5eCX8jW2kuxcj/XKdFivLB+THYkplUqpQzCpwsJCeHt7G5Snp6cDAHx8fABcS/rq6uoM1hszZgy+/fZbuLm5ITAw8KbHO3LkCIqKinRXnRqNBlu3bkXXrl2t/uoTsP7PU2splUpUV1dLHYbJsF51LtYry8dkR2KOjo5Sh2BSTz/9NHx9fREVFYWgoCBotVpcuHABq1evhqOjIx544AEAQGhoKJKSkpCUlITAwEAolUqEhobiwQcfxI4dOzB37lw88MADCAsLgyiKyMvLw6FDh/C3v/0NERERuuO5u7vjiSeewKOPPqq7ayQjIwNvv/22VG9Bp3JycpI6BLPg6OiIkpISqcMwGdarzsV6ZfkEkY9ylVRNTQ3OnDkjdRgms3XrVuzevRtnzpxBYWEh6uvr4e3tjcGDB2PWrFno2bMnAODKlSt46623cOrUKVRVVenNB1JTU4OEhARs27YNubm5UCqV8PPzQ2RkJB555BHd1WbjfCAhISFYvXo18vLydPOBxMbGSvYedKZbbrlFN8+KLauoqMCFCxekDsNkWK86j0KhwMCBA6UOgzqIyY7ERFHEiRMnoNVqpQ7F4jV+Kb/88stShyIJBwcH3WBVW6fRaHDixAmpw7AKtl6vXF1dERYWJnUY1EG8BJSYIAhW35VFnYOfo/+Ry+UcZ0FGwXplHZjsmAFWJjIGfo708f0gY+DnyDpwgLIZYGUyjuTkZKlDkBQHUeqz9kHKnYX1ivXKGrBlxww4OztLHQJZOJlMpvfwRmK9oo6zs7OziWet2QImO2ZAqVRCpVJJHQZZMBcXF96FdQMnJyebeHQEmY4tTJhoK/jtaCZYqagjbpzxlq4N/me9oo5gvbIeTHbMBCsVdQR/1JvG94XaSyaTwcXFReowyEiY7JgJNrlTezk5OfHZPc1wdXWFIAhSh0EWyNXVlV3DVoT/k2aCTe7UXmwVbJ5cLufVObUL65V1YbJjRli5qD2YJLeM9Yrag/XKujDZMSOurq6Qy+VSh0EWRKVS8Zbzm3B3d2dXFrWJi4sLhxVYGSY7ZkQmk+kevkfUGj4+PlKHYPbs7OzYukNtwnplfZjsmBlWMmotJsetx3pFrcXk2Dox2TEzKpWKAyqpVTw9Pdnt2UouLi6cuJNaxdvbm92eVojJjhniVSi1hq+vr9QhWBTWK7oZQRD4ObFSTHbMkLu7O+dNoRY5OztzYHIbeXl5cd4UahG/e60Xa74ZEgQB3t7eUodBZoxXn20nl8vh6ekpdRhkxlivrBeTHTPl6+vLq1BqklKphIeHh9RhWCQ/Pz+Ox6AmOTk5cbykFeOvqZlSKBTw8/OTOgwyQwEBAfzBbielUslWU2pSYGCg1CGQCTHZMWO+vr6c2Ir0ODo6slWng/z9/dlqSnpcXV3ZqmPlWOPNmFwuh7+/v9RhkBkJDAxkq04H2dnZ8U420sNWHevHZMfM+fj4wN7eXuowyAy4uLjA1dVV6jCsgp+fH+coIgDX5qtydHSUOgwyMSY7Zk4QBF51EABefRoTW00JuPb9GhAQIHUY1AmY7FgADw8PXnnYOA8PDzg5OUkdhlVhqyn5+PhAqVRKHQZ1AiY7FkAQBAQFBXGsho1SKBTo1q2b1GFYHZlMhqCgIKnDIIkolUq2ltoQJjsWwsHBgc3uNqp79+6c1dVEXFxcOJGcjerRowfvyrMh/J+2IH5+fuzOsjEeHh681dzEAgMD2Z1lY3x9fXmruY1hsmNB2J1lW9h91Tnkcjm7s2wIu69sE5MdC8PuLNvB7qvOw+4s28HuK9vE/3EL5Pf/2rv3oLiqww/g37vLPmBhF9hdYIEEluWRByaERKMmmsQXmmoS2/FRzTRa7dToaB2nWmucRjuNtrF1rKOodaq106m1tTXTjs3DGPKePEkiCYnhnfAKBLIssMAuu+f3R35sQ3gtsLC7l+9nZgfZe/bcc6/Z5bvnnHtuUhKvzJE5Dl9NvpSUFF6ZI3Mcvpq6GHbCkCRJyMjI4Ld+mYqMjOSwShAolUpkZmbyW79MxcTEIDU1NdjNoCDhuzpMqdVq2Gw2zt+RmYiICP7BDSKtVouMjIxgN4MCTK1WIyMjg5+XUxg/UcOYTqdDWlpasJtBASJJEmw2G68MCjKDwcAJrDKiUCiQmZnJmypPcQw7Yc5oNCIxMTHYzaAAmD59OqKjo4PdDMLleXHx8fHBbgYFgNVqRWRkZLCbQUHGsCMDKSkpvEFkmDObzTCZTMFuBl0hLS2N61qFueTkZMTGxga7GRQCGHZkoG/CMj+Yw5PBYOB6OiGob/iDV2iFJ6PRyGU6yIdhRyaUSiWysrKg1WqD3RQaBb1ez4mTIUylUiErK4vzqMJMXFwc5zNSPww7MhIREYHs7GwGnjARHR0Nm83GK69CnEajQXZ2Npd6CBOxsbGwWq38AkH98FNWZlQqFQNPGIiJieEl5mGkL/Cwhye0xcXFsaeUBiUJIUSwG0GB53a7UVZWhq6urmA3ha6i1+vZoxOmenp6cPbsWbhcrmA3ha4SHx/PewfSkBh2ZKy3txfl5eXo7OwMdlPo//V1sTPohC+Xy4WysjJ0d3cHuyn0/0wmE6ZPn86gQ0Ni2JE5r9eLc+fOoaWlJdhNmfIsFgssFgs/kGXA4/GgqqoKbW1twW7KlDdt2jQkJCQEuxkU4hh2pogLFy6gtrY22M2YkhQKBdLT03ljT5kRQqC+vh6NjY3BbsqUpFQqYbPZeGNP8gvDzhTicDhQWVkJj8cT7KZMGX33MOMaSPLV2tqKmpoaeL3eYDdlytBqtVwDiUaFYWeK6e7uRkVFBecbTIK+S8t5Tx75czqdKC8vh9vtDnZTZM9gMMBqtUKpVAa7KRRGGHamII/Hg/Pnz3MezwRKSkpCcnIy5+dMIW63G+fOnYPdbg92U2RJkiQkJycjMTGR7ysaNYadKaytrQ01NTX8NhpAWq0W6enp0Ol0wW4KBUlrayvOnTvH4eIA0ul0SE9P5/phNGYMO1Ncb28vamtr2csTAElJSbBYLLysnNjLEyDszaFAYdghAOzlGQ/25tBQ2MszduzNoUBi2CGf3t5eNDQ0oLm5GfxnMTKlUonExEQkJiayN4eG5Ha7UV9fj4sXLwa7KWEhIiICFosFZrOZvTkUMAw7NIDL5UJ9fT2HtoYgSRISEhKQlJTEK63Ib93d3airq+PQ1hAUCgWSkpKQkJDAK60o4Bh2aEhdXV2or6/nh/MVTCYTLBYLbwhJY9bZ2Ym6ujq0t7cHuykhQZIkmM1mWCwWfnmgCcOwQyPq6OhAfX39lP5wjouLQ3JyMucPUMA4HA7U19dP2XvXSZKE+Ph4JCcn88sDTTiGHfJbV1cXmpub0dLSMiVWi42IiIDJZILZbOaHMU0Yp9OJpqYmtLa2Tom5cmq1GiaTCSaTCSqVKtjNoSmCYYdGzePxoLW1Fc3Nzejq6gp2cwIuOjoaZrMZcXFxnCBJk6a3txctLS1obm5GT09PsJsTcHq9HmazGQaDge8rmnQMOzQuHR0daGlpgd1uR29vb7CbM2ZqtRqxsbEwmUyIjIwMdnNoChNCoL29HS0tLWhrawvry9a1Wq3vfcX7WFEwMexQQAgh4HQ6YbfbYbfbw+LeWzqdDgaDAbGxsUMGHIfDgX379vmGs8xmM9fToUnR0NCAuLg4uN1u2O12tLW1hUWPT3R0NGJjY2EwGDjHjUIGww5NiJ6eHrS1tcHhcMDpdIbEYoVqtRo6nQ56vR4Gg8Hv+QJbtmzBuXPnfL9HRUX5wo/RaERsbCxiYmJ4uSwFhBACx44dw9GjRzFt2jQUFBT4hn26u7tht9vR3t4Op9MZEr2pGo2m3/uKV1RRKGLYoUnhdrvR2dkJp9Ppe0xkAFKr1YiKioJOp0NUVBSioqLG/CHc1NSETZs2DVtGkiTExMT4eooMBgMSExNhNBrHtE+amrq6ulBUVITa2lrfcwsWLEB+fv6g5V0u14D31UQGII1GM+B9xZBP4YBhh4Kmt7cXLpcLbrd70IfX64UQot8VKpIkQZIkKBQKqFQqqNVqqFSqfg+1Wh3wD+Avv/wSdXV1fpeXJAkrV65EQkJCQNtB8tXQ0ICvv/4aTqdzwLbly5cjNTXVr3qufh9d/R7re08N9r5SKpUD3k8T+b4imiwMO0R+aGhowH/+8x+/yw/3bZzoSh6PB0ePHsWJEyeGvPRco9HgvvvuQ1RU1CS3jkgeOLhK5AeLxQKLxYKGhoYRyyYkJCAvL28SWkXhrqWlBUVFRWhtbR2yjCRJmDt3Lq8SJBoHhh0KaV1dXf3mL1it1qBNgJw3b55fYUetVqO7u5vfwmlIXq8XJ06cwNGjR4ddoFOn0+HWW29FUlLSJLaOSH4Ydiik2e12FBUV+X5PSUkJWthJSUlBYmIiLly4MGy52tpa/OMf/8BNN92EjIyMSWodhYu2tjYUFRWhqalp2HKpqalYtmwZe3SIAkAR7AYQhQtJknDdddf5Vbanpwfbt2/H9u3bw2LNIZp4QgicPHkSn3/++bBBR6FQ4LrrrsNdd93FoEMUIOzZIRoFi8WCadOm4fz5836Vr6ysRENDA2644QbYbDYukz9FdXR0YNeuXSNe0RcfH49ly5ZxyQKiAGPYIRqla6+9dkDY0Wg0Q65u29XVhR07duDMmTNYtGgR4uLiJqOZFAK8Xi9KS0tx+PDhYdeV6puEPH/+fF7eTTQBGHaIRslkMiEjIwOVlZUAgJkzZ2LBggXYu3cvqqqqhnxdfX09/vnPf2LOnDmYN28e7/gsc/X19di/f/+wV1oBl2+QuWzZMiQmJk5Sy4imHoYdojFYsGABqqqqoNfrcf3110OlUuG2225DRUUF9u3bN2Qvj9frxfHjx1FeXo4bb7wRaWlpHNqSmY6ODhw8eBAVFRUjlp01axYWLlzI4Es0wRh2iMYgNjYWM2bMQE5Oju8PlSRJyMzMRHJyMnbv3t3vflpX6+jowLZt2zBt2jQsWrQIer1+sppOE8Tj8aCkpATFxcUj3rJBp9NhyZIlfq+KTETjwxWUKaRdvXLx6tWrQ2b9Gq/XC4Vi8AsahRCoqqrC/v37B13+/0pKpRJ5eXmYO3cub6IYps6fP4/9+/ejra1txLJZWVm48cYbodFoJqFlRASwZ4dozIYKOsDlXp6MjAykpqaiuLgYJSUlQ94KoO92AadPn8a8efMwY8YMTlINE3a7HQcPHkRNTc2IZQ0GAxYtWsTeHKIgYNghmkBqtRrXX389srOzsXfvXjQ2Ng5Z1ul0Yt++fThx4gTy8/ORnZ09bKCi4LHb7SguLkZ5efmIZVUqFfLz85Gbm8sQSxQkDDtEkyA+Ph733HMPysrKcPDgQXR1dQ1ZtqOjA7t378bx48cxf/582Gw2hp4QMZqQAwCZmZlYuHAhdDrdBLeMiIbDsEM0SSRJQnZ2NtLS0nD48GGUlpYOW97hcKCoqAjHjh3DggULYLVaeeVWkIw25BiNRixatIj3tCIKEQw7RJNMo9Fg8eLFyMnJwb59+0a8R5Ldbsf27dthNBoxb948pKens6dnkow25Gg0GixYsAAzZ87k/yOiEMKwQxQkZrMZK1euRE1NDY4cOTLi4nMtLS3Yvn07dDodZs6ciRkzZoTMlWlyIoRAXV0dSktLUV1d7ddrJEnCjBkzcO2110Kr1U5sA4lo1Bh2iIJIkiSkp6cjLS0NlZWVOHLkyIiXL3d2duLIkSMoLi5GRkYGZs+ejYSEBA5xjVN3dze+/fZbnD59Gg6Hw6/XSJKEnJwc5OXlca0kohDGsEMUAiRJgs1mg9VqRXl5OY4ePYr29vZhX+P1elFeXo7y8nKYTCbMnj0bNpuNa/WMghACFy5cQGlpKaqqquDxePx6HUMOUXjhooIU0kJ5UcGJ5PV68e2336K4uBidnZ1+v06j0SA7Oxs2mw1ms5m9PUNwuVwoKyvD6dOnRxw+vBJDDlF44ldAohCkUCgwc+ZMZGVl4cyZMzhx4oRfoaenpwclJSUoKSmBTqdDRkYGMjIyOMyFy3efr6mpQXV1Nerq6vzuxQEYcojCHcMOUQiLiIhAbm4uZs2ahZqaGpw8eRINDQ1+vbazs7Nf8LFarcjIyEBiYuKUCT4OhwPV1dWorq7GhQsXhlzFeigqlQrZ2dm45pprGHKIwhjDDlEYUCgUsFqtsFqtaG1txalTp1BWVjbiDSf7dHZ24uTJkzh58iSioqKQnp4Oi8UCi8Uiq2FBr9eL1tZWXw9OS0vLmOoxmUyYNWsWbDYb70hOJAOcs0MhbarO2fFHT08Pzp49i9LSUr9uQDkUvV6PpKQk38NgMIRNz09PTw8uXLiApqYm30+32z2mupRKJTIzMzFr1iyYzeYAt5SIgok9O0RhSqPR4JprrkFubi5qa2tx6tQpnD9/ftRDNQ6HAw6HA2fPngUAREZG+oJPXFwcDAYDdDpd0BfJ6+3thcPhQFNTExobG9HU1AS73T7ueuPi4nzzo3gnciJ5YtghCnOSJGHatGmYNm0aenp6UF1djaqqKtTW1sLr9Y66vq6uLlRVVaGqqsr3nEKhgF6vh8Fg6PfQ6/WIjIwMyA0uhRBwOp1ob2+Hw+Ho97O9vX1UV6WNRKfTIS0tDTabDUlJSWHTk0VEY8OwQyQjGo0GOTk5yMnJQU9PD2pqalBZWTnm4NPH6/XCbrcP2ZOiVCqhUqmgUqmgVqv7/VSpVFAoFOjt7YXb7UZvb++gD5fLNaorpEbLYDDAarUiPT2dl+UTTTEMO0Qy1bfmTnZ2NlwuV7/gE+hQ4fF44PF40N3dHdB6x8tsNiM9PR1WqxWxsbHBbg4RBQnDDtEUoFarkZWVhaysLHg8HjQ3N6OxsRENDQ24cOECXC5XsJsYEAaDAQkJCUhMTMT06dMRHR0d7CYRUQhg2CGaYpRKpW8Ccl5eHrxeLy5duoSGhgY0NjaisbERTqcz2M0cUUREBBISEnzhJjExkTfhJKJBMewQTXEKhQJGoxFGoxG5ubkQQqC9vR2tra1oa2vzPRwOR0AnCftLqVQiJibG94iPj0dCQgLi4+ODfoUYEYUHhh0i6keSJOj1+kFXDHa73XA4HL4A1N7eDpfLBbfbDZfL5fvvvt8HuwxekiREREQMeKhUKkRHRyMmJgZ6vd73MzIykpOJiWhcGHaIyG8qlcrXCzQSIQQ8Ho9vPlBfqGFvDBFNNoYdIpoQV/bgEBEFE79iERERkawx7BAREZGsMewQERGRrDHsEBERkawx7BAREZGsMewQERGRrDHsEBERkawx7BAREZGsSWKw9dyJguzkyZOoqKiAy+XCpUuXfM+bzWYoFArMnTsX6enpwWsgERGFDfbsUEiaPn06mpqa+gUdAGhubkZbWxtSUlKC1DIiIgo3DDsUkvR6PXJycgbdNmfOHKhUqkluERERhSuGHQpZeXl5A+52rdVqMXv27CC1iIiIwhHDDoWswXp32KtDRESjxbBDIe3K3h326hAR0Vgw7FBIu7J3h706REQ0Fgw7FPLy8vIQFRXFXh0iIhoTrrNDYeHSpUuIi4sLdjOIiCgMMewQERGRrHEYi4iIiGQtItgNIKKxq6+vxx/+8AcAwJ133onrr78+yC0iIgo9HMYiCmN33nkntm7dCoVCAYvFgpKSEs5tIiK6CoexKCRVV1dDkiQ88sgjwW5KUHi9XsydOxfLly8fskxhYSG2bt2KtWvX4i9/+Qvq6+uxdu3aMe2vvLwcERERKCwsHGuTiYhCFsPOODmdTrz22mvIz89HdHQ0tFotUlNTcdNNN+HnP/85KioqfGV37twJSZLwyiuvjHu/gaxrOH2hY7hHXl7emOqerGMIhMlu65/+9Cd88803Q+6vrKwMzz//PL73ve/hnXfewfe//328+eab+Oyzz/DXv/511PvLzMzEww8/jFdeeQUOh2OcrSciCi2cszMO7e3tWLx4Mb755htkZmZi9erViI2Nxfnz53Hq1Cn8+te/hs1mg81mC3ZTx81ms2H16tWDbktKSgr4/lJSUnD69GkYDIaA1x3qPB4PXn31VSxZsgTXXXfdoGWysrLQ2dnZ77lnn30Wzz777Jj3+/zzz+PPf/4z3n77bbz88stjroeIKNQw7IzDW2+9hW+++QaPPfYYPvzwwwE3rayqqkJPT0+QWhdYmZmZk9oDo1KpMGPGjEnbXyj573//i3PnzuEXv/jFpO43NzcXc+fOxYcffoiXXnoJCgU7folIJgSN2V133SUAiGPHjo1Ydv369QLAoI+qqirR09Mj3n77bXHHHXeI1NRUoVarhdlsFvfee68oLi4eVV1X2rVrl7j77ruF0WgUarVaZGZminXr1onOzk6/jrGqqkoAEAUFBX6fl88//1zcfPPNwmw2C41GI1JTU0VBQYH44osv/D6Gvv2uWbOmX91FRUUCgFi/fr3Yt2+fWLp0qYiOjhYmk0msXbtWOJ1OIYQQmzdvFjfeeKOIiooSCQkJ4oUXXhC9vb396vL3nE/m+RZCiO9+97tCkiRx6dKlfs8fO3ZMaDQa374LCwt927q6ukROTo5v29133+33/q60YcMGAUBs27ZtTK8nIgpF7NkZh/j4eACXJ3eONG9l6dKlqK6uxieffIIlS5Zg6dKlvm2xsbFobW3Fs88+i5tuugnLly9HXFwcKisr8e9//xubN2/G7t27ce211/pVV5/3338fTz75JOLi4nDPPffAbDbj8OHD2LBhA4qKilBUVAS1Wh24EwLgvffew5NPPgmLxYJ7770XRqMRDQ0NOHToEDZt2oRVq1b5dQx2u33Y/Rw8eBC/+c1vUFBQgB//+McoKirCe++9B4fDgZUrV2LNmjVYsWIFFi5ciC+//BIbN26EXq/HunXrfHX4e84n83wLIbBz507MmDGjX93A5dtmvP7663juuecAAC+88ALuuusupKenY926dfj2228BXB5W/Oijj4bdz1BuuOEGAMCOHTtw++23j6kOIqKQE+y0Fc42bdokAAi9Xi9+9rOfia+//lq0trYOWf7KXomrdXd3i9ra2gHPnzx5UkRHR4vbbrvN77qEEOLUqVMiIiJCzJs3T7S0tPTb9vrrrwsA4re//e2Ix9jXw2Kz2cT69esHfWzevNlXPj8/X6jVatHU1DSgrosXL/p9DCP17AAQmzZt8j3vcrnEnDlzhCRJwmQyiUOHDvm2ORwOkZCQIIxGo3C73b7nR3POJ+t8nzp1SgAQDz/88KDbvV6vKCgo8J2DZcuWiT179giFQiEACEmSxNatW0fcz1AcDocAIG6++eYx10FEFGoYdsZp48aNIjo6ut/Qhs1mE0899ZQ4e/Zsv7Ij/cEcyj333CPUarVwuVx+1/XMM88IAGLPnj0Dtnk8HmE2m8X8+fNH3Hdf6Bju8ZOf/MRXPj8/X+h0ugFDMIMZT9hZunTpgNf88pe/FADEo48+OmDbD3/4w0GHnYZy9TmfrPO9detWAUA899xzQ5ZpbGwUCQkJvvN/5b+/4V7nL61WKzIyMsZdDxFRqOAw1jg9//zzeOKJJ7Blyxbs378fR44cwcGDB/Huu+/ij3/8Iz777DOsWLHCr7qOHz+OjRs3Yu/evWhsbITb7e63/eLFi7BYLH7VdeDAAQDAli1bsH379gHbVSoVzpw541ddAFBQUIAtW7aMWO7+++/Hiy++iNzcXDz44INYunQpFi9ePGBIZrzmzZs34Lm+czPYkGLftrq6OqSnp/ueD9Q5D9T5bmlpAYBhFwZMTEzExx9/jO985zsAgI6ODgCXz8nrr78+oHx6ejpqamqwfv16vyaZx8fH4+LFiyOWIyIKFww7ARATE4P77rsP9913HwCgra0NL730EgoLC/HYY4+hrq5uxLka+/fvxy233AIAuOOOO5CVlYXo6GhIkoRNmzbhxIkTo7qyq7W1FQCwYcOGMR7V2LzwwgswGo14//338eabb+J3v/sdIiIisHz5crz11luwWq0B2Y9erx/wXERExIjbrgwzgTzngTrfkZGRAICurq5hyxUUFCArKwtlZWW+5370ox8FZA5WV1cXoqKixl0PEVGoYNiZAAZMKwHQAAAGsklEQVSDAe+88w6+/PJL1NTUoKSkBPPnzx/2NRs2bEBPTw/27t2LRYsW9dt24MABnDhxYlRt6PuD73A4EBMTM7oDGAdJkvD444/j8ccfR0tLC/bs2YNPP/0Uf//731FWVoaSkhIolcpJa89wAnnOA3W+zWYzgP+Fp6G89tpr/YIOALz88stYsWIFUlJSxrx/r9eLtrY2zJ49e8x1EBGFGi6kMUEkSRrw7bjvj7zH4xlQvqKiAvHx8QP+6DqdThQXFw8oP1xdALBw4UIA/xteCQaj0YhVq1bhs88+wy233ILTp0+jvLzct32kY5hooznnk3W+Z8+eDYVCMSDIXOnAgQP45S9/6fu9bz2i1tZW/OAHP4AY4XZ3O3bsgFarhSRJWL9+fb9tZWVl8Hq9uOaaa8ZxFEREoYVhZxw++OADHD58eNBt//rXv3DmzBnExsYiNzcXwP8uVa+trR1QPi0tDZcuXcKpU6d8z3k8Hvz0pz9Fc3PzgPLD1QUATz75JCIiIvD000/j/PnzA7bb7XYcO3ZshCMcva1bt6K3t7ffc26329dT0TdMA4x8DBNtNOd8ss53bGws5syZgyNHjgwaWtrb2/Hwww/7zvETTzyBrVu3+nqWduzYgTfeeGPI+g8dOoSVK1eip6cH69atw6uvvtpv+8GDBwEAS5YsGbGtREThgsNY47B582Y88cQTyMzMxKJFi5CcnIyOjg4cP34ce/bsgUKhQGFhITQaDYDL38CTk5Pxt7/9DVFRUUhNTYUkSVi7di2efvppbNu2DYsXL8b9998PrVaLnTt3oq6uDkuXLsXOnTv77Xu4ugwGA3Jzc1FYWIi1a9ciJycHy5cvh81mg8PhQGVlJXbt2oVHHnkE77//vl/HWl5ePuzk1r5tDzzwAKKiorB48WKkpaXB7Xbjq6++QmlpKR544AFMnz7dr2OYDKM555N5vletWoVXXnkFhw8fHnC7iKeeegqVlZUAgIyMDLzxxhuIjo7G73//ezz66KMALg9n3XrrrQOGTktLS/HOO++go6MDL774In71q18N2PdXX30FpVKJu+++e7Snk4godAX7crBwdubMGbFx40Zx++23C6vVKrRardBqtcJms4k1a9aII0eODHjNgQMHxJIlS0RMTMyAVXg///xzkZ+fL6KiooTJZBL333+/qKioEGvWrBn0sunh6upz6NAh8eCDD4rk5GShUqmEyWQS+fn54sUXXxSnT58e8Rj9ufT8yn9GhYWFYsWKFSItLU1otVphNBrFwoULxQcffNBvjZuRjsGfFZSv9vHHHwsA4uOPPx6wrW8V5KKion7Pj+acT8b5FkKI2tpaoVQqxdNPP93v+U8//dS3X4VCIXbv3t1v+6pVq3zbs7OzRUdHhxBCiLS0tH7/rx566KFB99vZ2Smio6PFqlWr/GonEVG4kIQYYYCfiCbdQw89hG3btqGmpgY6nW5cdfVdeq7T6dDZ2QmDwYDdu3djzpw5/cp99NFHeOyxx7Br1y7cfPPN49onEVEo4ZwdohC0YcMGdHR04N133w1Ync888wyWLFmCtrY23HnnnaipqfFt6+3txWuvvYYVK1Yw6BCR7DDsEIUgq9WKTz75ZNy9OldSq9X44osvMHPmTDQ0NKCgoMC3eGBtbS1Wr16NN998M2D7IyIKFRzGIpK5q1dQrq6uxg033IDGxkYsXLgQX3/9dUBDFRFRqGHYISIiIlnjMBYRERHJGsMOERERyRrDDhEREckaww4RERHJGsMOERERyRrDDhEREckaww4RERHJGsMOERERyRrDDhEREckaww4RERHJGsMOERERyRrDDhEREckaww4RERHJGsMOERERyRrDDhEREckaww4RERHJGsMOERERyRrDDhEREckaww4RERHJGsMOERERyRrDDhEREckaww4RERHJGsMOERERyRrDDhEREckaww4RERHJGsMOERERyRrDDhEREckaww4RERHJGsMOERERyRrDDhEREckaww4RERHJGsMOERERyRrDDhEREckaww4RERHJGsMOERERyRrDDhEREckaww4RERHJGsMOERERyRrDDhEREckaww4RERHJGsMOERERyRrDDhEREckaww4RERHJGsMOERERyRrDDhEREckaww4RERHJGsMOERERyRrDDhEREckaww4RERHJGsMOERERyRrDDhEREckaww4RERHJGsMOERERyRrDDhEREckaww4RERHJGsMOERERyRrDDhEREckaww4RERHJGsMOERERyRrDDhEREcna/wF+6qtaOZqhswAAAABJRU5ErkJggg==\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)\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": [ "from kf_book.gh_internal import plot_g_h_results\n", "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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Htex1Y9u3b6e6upqMjAwmTZrUrHzHjh3ExMS0pZlCXFZWVpaypL78YRdtITEkzCUxJMwlMSTMZakY0ukNbD6ez0c7Uzhz3rTdjYOdDffdEMRvx4cT5Oly2fPLy8vp2VOdwNbW1nL8+HHA9LS0cZLq5OREfn5+i4sGCevTpk+pYQ+jKwkKCrriMsWvv/76ZRddEkIIIYQQQnQNNfV61h/JYcnuVLKLqwHo4WjHQ2NDeDQ6DJ+el5/2t3HjRhYvXsyuXbtISkpS7fd56623Ymtry4gRI5rt0Qotr5YrrJN8UqLbCggIUIa3CNEWEkPCXBJDwlwSQ8Jc1yqGymvqWROfxbK96RSW1wLg5erAozeGMWdMCO7OzbdraaldqampbN++HYDvvvtOlaT6+vpSUFCAp6dnB16JuBYkSRXdlre3t6WbIDo5iSFhLokhYS6JIWGujo6h4so6lsels3JfBmU1OgD83Z347fhw7hsZjLND8303t27dyqpVq/jxxx85deoUXl5eStn06dN58cUXCQkJaXE3EElQuwZJUoUQQgghhOiGsrOzSU9Px8XFhaFDh7brFpB5F6r5dE8aXxzMprreNP0v3MeVpyZEMGNYAA52l35y+/PPP7N27VrAlLDOnj1bKevfvz8nTpxgwIABbdqKRnQOMjZECCGEEEKIbiQuLo4pU6YQHBzMhAkTGDlyJMHBwbzxxhvU1taaVXdaYQUvbkhkwj92sDwug+p6PdcFuLN49vVs++ME7rkhCAc7G/bu3csf//hHhg8f3uxnxsbGAuDm5oZWq1WVaTQaBg4cKAlqF6cxGhu2yO0cDAaDsvVNg549e8pcDCGEEEIIIa7gq6++4t5770Wn07VYPmnSJL7//nscHS+/gFFTSbmlfLQzhS1J52jILsaEe/J0TCQ39fVullQ+8sgjrFy5EoAffviBqVOnKmU6nY7du3dz0003YW/ffK6qsA4dmZdJkiq6rcTERGXJ9aioKEs3R3RCEkPCXBJDwlwSQ+JqnD9/nvDwcKqqqgAIDw9nzJgx5ObmsmfPHgwGAwCvvPIKCxcuvGJ9RqORg+nF/HdnKrvPFCrHbx7oy1MxkThV5LFp0yYOHjzIxo0bVYnqhg0buOeee7C1teVf//oXzz33XDtfrehoHZmXyZxUIYQQQgjR5VRWVnL48GGqq6uJiIigb9++lm6SxS1btkxJUO+55x7Wrl1LcnIy9fX1JCcn89hjj6HX61m8eDEvv/wyTk5OLdZjNBrZcbqA/+5I5UhmCQA2Grgjyp8nYyIY0McNgNtum82WLVsA0xcqw4YNU+qYOnUqX3zxBdOmTcPDw6MjL1t0QvL4UXRbLi4uuLq64uJy+c2ihbgUiSFhLokhYS6JoeYqKip44YUX8Pf3JyYmhltvvZV+/fpx0003sWvXLks3z6IaEkaAv/3tb9jZ2SkxNG7cOO68804AioqKOHLkSLPzdXoD3xzL5dYP9vDoisMcySzB3lbDCPcqptTG8e/7hysJKlycWwqwd+9eVV1ubm7cd999kqCKFsmTVNFtyTeqwlwSQ8JcEkPCXBJDahUVFUyePJmDBw82K9u7dy+TJ0/myy+/VJKx7qayshIAGxsbQkJCAHUMRUREKP+uqKhQ/l2r0/O/I7l8sjuVzCLTk1hXB1vmjAlh/dtPs3HfTgD+8sIzBAQEKOfNmDEDvV7P7bffTnh4eEddluiC5EmqEEIIIYToEl555RUlQXVwcGDOnDnMnz+fAQMGAKDX6/nNb35DYWHh5arpshoSU4PBwPfff68qMxqNbN68WfXaylodn+5O46a//cyCr34hs6iKXi72PD+lH/vmT+al2wYyY2qMcs7WrVtVdQYEBPDss89KgiqumiycJIQQQgghOr3y8nICAgIoLy/H0dGRgwcPMnToUMCUnD7wwAOsX78egHfffZc///nPlmyuRXz99dfMmjULMCWQS5cuZdq0aZw/f55XXnmFZcuWATAyOoYHXvuEFfsyKK2uB0BXrqXyyCZOf/8Zvp7uSp3Jycl88cUXxMbGMnLkSLkn70Zkdd9GJEkVQgghhBBNbd++nSlTpgCm7U2WL1+uKj9z5gz9+/cHYPLkyWzfvv2at9HS9Ho90dHRxMfHK8ecnZ2prq4GwLaHF24jZ+Izdha1elN5mLcrPbP38+2HfwGDjo0bNyqJrujeZHVfITpAVlYWOp0OOzs7goODLd0c0QlJDAlzSQwJc0kMXdSwai1cHNbaWONjjV/bndja2rJp0yZiY2M5dOgQANXV1dh5+OE2+i56DJmMxs6eWj0M8nPjmYmR3DKkD3v3aPCreZTY2FgmT55s4asQ3YEkqaLbKikpUfaW6+5/2EXbSAwJc0kMCXNJDF3UeN7j119/zWuvvabal/Orr75S/h0WFnZN22ZNKioq+Pvf/45Wq+WjzzeR5hgJQcNBY3r6VZP1C3+5ZwxPzbxRef8mTJjAhAkTLNls0c3IGFkhhBBCCNHpDRkyhBtuuAEw7ck5d+5csrOz0el0rF+/nmeffVZ57aOPPmqpZlpMfX09UVFRRERE8MSCd9lcHkxa3/sgeARobAixLycycxNvT/bh/glDVQm+ENeazEkV3VZtbS1GoxGNRoOjo6OlmyM6IYkhYS6JIWEuiSG1H374gVtvvZXL3d5OnjyZbdu2dekkrKSkhPPnzyurGoNp9d5RMx8ju+cAnAIHA2CjgVsH9+aJG0MY6OcmMSSuiiyc1IgkqUIIIYQQ4lJWr17N448/Tm1tbbOySZMm8b///Q8PDw8LtKzjVVZWEhsby549exg7dix79uxBpzfw3S/5LN6ZyqlzpntoGwzcMcSXebcMIdTb1cKtFp2VJKmNSJIqhBBCCCEuJy8vj08//ZTt27dTXV1NREQEjz76KFOmTOky94z19fUUFxfTu3dv1fGBAwdy6tQpbOwd+WjLUdYcOU9WsWmhKFcHW+aMCeGxG8PwdXOyRLNFFyJJaiOSpAohhBBCiO6quLiYp556iq1btzJ58mQ2btyoKv/jiy/xTXIx9kOmUasxDd/1dHVg7rhQfjM2FHcXe0s0W3RBkqQ2IkmqaC9lZWXKPB43NzdLN0d0QhJDwlwSQ8JcEkNdm9FopKamBmdnZ+WYXq/Hz8+PwsJCXF1dKSoqwtHREW1FLcvj0vl/+zMpr9EB4O/uxBPjw7l/ZDDODrYt/gyJIdFWsk+qEB0gPT1dWbY/KirK0s0RnZDEkDCXxJAwl8RQ11RYWMjChQvZvHkzU6dO5eOPP1bKbG1tue2229i0aRO33norJ7PO89WJMtYdzqam3gBAhI8rT8VEMmOYP/a2l08YJIaENZIkVQghhBBCCAtqeJLZwMXFhSVLllBbW8vmzZublb/33nv8+a//5tM9Gdy1PAm9wTQwMirQnadiIpk6qDc2Nl139WLR9UmSKrqt3r17o9frsbVtefiLEFciMSTMJTEkzCUx1HkVFhby8ccfs3nzZm655RbeeOMNpczV1ZVJkyaxfft2Bg4cSElJCZ6engAkZJXw0c40tp04r7z+xkhvnoqJYFyE11VvrSMxJKyRzEkVQgghhBDiGsvLyyMgIACAYcOGkZCQoCpPS0vD29sbNzc3jEYje1O0fLQjlf1pRQBoNDBtUB+eiokgKqhrbqkjrJvMSRVCCCGEEKKTKS4uZv369WzevJk77riDJ554Qinz9/dnxIgRHDlyBKPRSFVVFS4uLkp5eHg4eoOR73/d4/SX3FIA7Gw0zBwewJMTwon07XnNr0mIa0GSVCGEEEIIITpATk4OTz75JAB1dXWqJBXg448/xtfXl+DgYNXxOp2BrxNy+Xh3KmmFlQA42dvwwKhgHr8pnAAPZ4ToymS4rxBCCCGEEG1UUVHBtm3b2Lx5M7NmzSI2NlYpMxqNhIaGkpWVRWhoKGfPnsXO7tLPiKrqdHx+MJule9LIL60BwM3JjkfGhfJIdBierg4dfj1CtJZVDfctLy9n4cKFHDt2jISEBLRaLa+99hqvv/666nWXm7Tdv39/Tp06pTq2aNEi/vvf/5Keno6/vz+PPPIICxYswN5eNhwWHSM5OVlZcn3w4MGWbo7ohCSGhLkkhoS5JIYs78CBA9x5552A6Wlp4yRVo9Hw0Ucf0adPH4YPH37Jm/cLVXWs2JfBin0ZXKiqB8C3pyOP3xTGg6ND6OHYcYMfJYaENbrqiC8qKmLJkiVERUUxc+ZMli5d2uLr9u/f3+xYfHw88+bNY9asWarjb7/9Nq+++irz589n6tSpHDp0iFdeeYXc3FyWLFlytU0UolV0Oh06ne6qV8ETooHEkDCXxJAwl8TQtaHX6zlw4IDytHTUqFFK2fjx4+nZsyfl5eXs2rWr2XYxt99++yXrPVdaw9I9aaw9mEVVnR6AEC8Xfjc+grtGBOBo1/Er7koMCWt01UlqSEgIJSUlaDQatFrtJZPUMWPGNDv2ySefoNFoeOyxx5RjRUVFvPXWWzzxxBP89a9/BSAmJob6+npeeeUV5s2bx6BBg662mUJckaOjIzY2NvK0XrSZxJAwl8SQMJfE0LWxfv16HnjgAcD0tLRxkurg4MC//vUvAgMDmThxYquSvXRtJZ/sSmXj0Vzq9AYABvq58XRMBLdd54ftNdzjVGJIWCOz5qRqtVp8fHxaHO7bVHl5OX5+fowcOZIdO3Yox9esWcOcOXPYv3+/KrHNz8/H39+ft99+mwULFijHZU6qEEIIIYToCGfPnmXz5s1Mnz6dyMhI5XhxcTG+vr7o9foWp621VlJuKYt3pvJ9Uj4Nd+CjQj15amIEMf185Gmm6FSsak5qW33xxRdUVlby+OOPq44nJSUBcN1116mO+/n54e3trZRfTnJyMiEhIbi5uSnHamtrlQ6kV69ezVZNO3v2LFVVVQBERUWpyrRaLbm5uQAEBwfTq1cvpUyv1ytt6tmzJ+Hh4apz09PTKSsrA2Dw4MGqyfEXLlwgMzMTMC077uPjozr3+PHjGI1GnJ2d6devn6osOzub4uJiwDSn18nJSSmrqKggNTUVAF9fX/z8/FTnnjhxQplr0PSpdH5+PgUFBQBERETQo0cPpaympobTp08D4OnpSVBQkOrcM2fOUF1djUajYejQoaqywsJC8vLyANPTdw+Pi/t36XQ6kpOTAXBzcyMsLEx1blpamhLwQ4YMUW0uXVJSQlZWFgABAQF4e3urzk1MTATAxcWFvn37qsqysrIoKSkBYMCAATg6OiplZWVlpKenA6ZNrfv06aM6Nzk5GZ1Oh6OjIwMGDFCV5eXlUVhYCEBkZCSurq5KWVVVFWfPngXAy8uLwMBA1bmnT5+mpqYGW1tbhgwZoiorKCggPz8fgNDQUNzd3ZWyuro6Tp48CYC7uzuhoaGqc1NTU6moqABMv1uNO4uioiJycnIACAwMxMvLSykzGAz88ssvAPTo0YOIiAhVvRkZGZSWmpbAHzhwIA4OFxdwKC0tJSMjAzD9/vr6+qrOTUpKQq/X4+TkRP/+/VVlOTk5FBWZ9n3r27evagn+yspKUlJSAPDx8cHf31917qlTp6itrcXOzq7ZXJpz585x/rxps/OwsDDpI5A+QvoIE+kjTKSPMJE+wmTZsmXKfWpubi7//Oc/lTJPT0+eeeYZvL29ufHGG6mtrW11H2E0Glm34yjrjpeQcK5WOT55gC9PxUTg71BDYWE+x4/nSx8hfUSn7CM6wjVLUpctW4aHhwd33XWX6nhRURGOjo6qX8gGnp6eSsBdjk6no+kDYaPRSH19vVLe0jkN5U0ZDAalzGAwNCtvbb1N29S4Xr1e32K9RqOxxeEWer3erHovda2N6216rY3fw5bqbbjWlr71a2291vLZXOla6+vr0el0LX4zdLnPpjX11tfXt1h2uXobzr1SvS1p7XvY0vmN29TUla61rq4Og8Ggulloqd62voctvUetrdda4lD6iOb1WstnI31E83qlj5A+omm9naWPKCwsZN++fdx9992qJDUmJkb5d+NRfw2ee+455Sa+NXFoMBj5+VQBH+1M4WjWBQBsNDA9yp8nJ0Qw0M+U8GRnZ0sfgfQRTdvUmnqtpY/oCNckSU1OTiY+Pp5nnnlGlZU3uNzQhma+4m0AACAASURBVNYMe7Czs2v2Oo1Go3wALS31bWdnd8mx943H5bd0w9Haepu2qXG9Lf2C2dvbYzQaW6zX1tbWrHob//+l6m16rY3fw5bqbbjWlj6j1tZrLZ/Nla614Tqv9B62pV69Xt9i2eXqbTj3cvWa+x5e6VqbutK1Ojg4oNfrO+Q9NBgMV/17Y41xKH1E83qt5bORPqJ5vdJHSB/RtN7O0EesXLmS//u//8NgMODu7q56MhwREUFsbCyRkZFMnTr1svVeLl6MGhu+Ssjh451pnD5veqJrbwOTw125L8qLiSPVowelj0Bpo/QRF9vUmnqtpY/oCNdkTurzzz/P+++/T0JCAsOGDVOVvfTSS7z77rtUVlaqHs2D6ZH8lClTWLt2rXJM5qSK9pKXl6d07E2HfgjRGhJDoq20Wi2ff/45v/zyC05OTsTExDBr1iyZjyaumvRDLautrWX37t1ER0er7i/379/PuHHjAJg1axYbN25st59ZU69n/eFsPtmdRk5JNQA9HO2YMyaER28Mxbdn8wc11kBiSLRVp56TWldXx6pVqxgxYkSzBBUuzkX95ZdfGD16tHL83LlzaLXaZuPrhWgvhYWFyhwb6ZRFW0gMiaul1+t59dVX+de//kVdXZ1yfNGiRURFRbF27VpZ0V5cFemHmlu8eDEvvvgiFRUVfPvtt6p9S0eNGkV0dDRjx45l5syZ7fLzymrqWX0gk8/2ZqCtMM059XJ14NEbw5gzJgR3Z+teNVdiSFijDk9SN23ahFar5c0332yx/JZbbsHJyYkVK1aoktQVK1ag0WjarQMRQgghLG3evHl8+OGHLZYlJiYyYcIE4uPjmy2UIYRozmg0cvz48WYL+/j7+yuL/mzevFmVpNra2rJ37952+fmF5bV8FpfO6v2ZlNea5g4GeDjz2/Hh3HtDEM4O12ZYpBBdUZuS1C1btlBZWak83j1x4gQbNmwA4LbbblMNq1i2bBnOzs48+OCDLdbl6enJK6+8wquvvoqnpydTp07l0KFDvP766zz++OPyjbLoMJGRkc023BbiakgMiauRkJCgJKi2trY8++yzTJ06laysLN5//31Onz6NVqvlpZdeYt26dRZurWU1LDizcn8GOSXV3DKkDw+OCibI0+WK53Y33bUf+uSTT3jrrbfIyckhPj5etW/pzTffTGBgIJMmTWLGjBnt/rOzi6tYsjuNLw9nU6szLXrT17cHT8VEMD3KH3vbzjUFrbvGkLBubZqTGhoaqixv3FR6erqyjHV2djahoaHMmTOHlStXXrbO//znP/z3v/8lIyODPn36MHfuXF5++eVmE45lTqoQQojO6He/+x1LliwB4J///CcvvPCCUnbhwgX69u2LVqvFzs6O3NzcZtsvdAcVtTo2HM5mxb4MMoqqVGUaDUzo58Ps0SFMGuCLrY3cUHcX58+fp3fv3qpjS5cu5YknngDglVdeYeHCharyjki6Tp8r5+NdqWxKzENvMN0+Dwvy4OmYCG4e2BsbiUnRzXRkXmbWwkmWIEmqEEKIzmjkyJEcPnwYgPLyctV+kgB/+MMfWLRoEQDbtm3j5ptvvuZttJSsoipW7s/gy0PZyrBJNyc7HhgVzOAAd9YfzmbPWa3yen93J+4fFcx9I4Po7Wadi9EI8y1fvpwPP/yQo0ePkpaWptoPNS8vj4iICGJiYnjssce4++67O6wdRzJLWLwzhe0nC5RjN/X15qmYCMaGe8kTSNFtdeqFk4QQQgihXtK/pX3xGu891x1ueo1GI/HpxXy2N51tJ8/T8JV5uI8rc6PDuOv6AFwcTLcpd0T5k6Gt5PODWXx5OJu80hre23aGD346y9RBvZk9OoRxEV7yJKsTq62txdHRUXUsPz+fo0ePAqa5pc8++6xS5u/vT3FxMc7Ozh3SHqPRyO6zWj7akUJ8umlvVI0Gbh3Sh6cmRHJdoHuH/FwhhIk8SRXdVlVVlTIcqOn2R0K0hsSQuBpPP/00ixcvBuCdd95h/vz5SgwVFxczbNgwiouLsbe3Jzc3Fx8fHwu3uGPU1Ov5NjGPz+IyOJlfphwf38+HudGhTOjrc9lks6Zez9akc6yJz+RQRolyPMzblQdHBXP3iEB6uTp06DVYk87eD33xxResXLmSvXv3kp2djYeHh1J2/PhxoqKiGDFiBPPmzWPOnDkd3h69wcjWpHMs3pVCUq4pPu1tNcwaHsDvJkQQ4dPjCjV0Pp09hoTlyHDfRiRJFe0lMTFRWXI9KirK0s0RnZDEkLgaDTfcYNoY/YknnmDo0KHk5OSwevVqsrOzAXjggQdU+4N3FQXlNaw+kMWaA5kUVZq233Gyt+Gu6wOZGx1KpG/Pq67z9Lly1sRnsvFoLhW/DhN2sLPh9uv8mDMmmOuDe3X5p9KdqR9qaZ7ovHnz+OCDDwBTwnrfffepXp+fn39NtkWp1en56mgun+xOI11bCYCzvS0PjArm8ZvC8PfomCe21qAzxZCwLjLcVwghhOjkhg4dyvPPP897772HwWDgk08+afaa3r17884771igdR3nl5xSlsel8+3xPOr1pu/F/dydeHhcKPePDMLDpe1PPfv36cmbM4bw51sG8G1iHqvjM0nKLeOrhFy+SshlQJ+ezB4Twsxh/vR0su69KruyzZs3s379evbt28eJEydUi2LGxsbywQcfEBgYSHV1teo8jUbT4QlqZa2Ozw9msXRPOufKagBwd7bnkXGhPDwuFM9u9FReCGsiT1JFt5WTk4Ner8fW1pbAwEBLN0d0QhJD4moZDAbeeust/va3v1FVpV69dvTo0axatYq+fftaqHXtR6c3sO3EeT6LS1cNyR0R0ou50aFMG9ynQ7bpMBqNHM8pZU18JpsS86ipN839dXGwZcawAOaMCWawf9eaS9gZ+qEHH3yQzz//HICff/6ZiRMnKmV1dXWcOHGCqKioa/rUu6SyjhX7Mli5P4MLVfUA9HZz5ImbwnlgVDCujt3nOU5niCFhnWS4byOSpAohhOjsSktLWb9+PWlpabi6ujJlyhTVPo+dVWlVPesOZ7FyXya5F0xPxexsNMQO9WNudBhRQR5XqKF927IxIYc18VmkFFQox4cFeTB7dDDTo/xxsre9Zu3p6vbu3cs333xDYmIiP/zwgyrh/Pzzz3nwwQfp0aMH//nPf5g7d67F2plfWs2nu9P5/GAW1fWmxcrCvF353fhwZl0fgKOdxIQQrSVJaiOSpAohhBDWJbWwghVxGWw4kqPc+Hu6OjB7dDBzxoRYdJuYhlWE18RnsTUpXxly7OZkx90jgnhwdDCRvl1vMZxrbcqUKWzfvh2ApKQkBg8erJSVlpZy8OBBxo8f32wF32slrbCCj3el8lVCrhIDg/3deDomkluG9JF9d4VoA0lSG5EkVQghhLA8o9HInrNaPotLZ+fpQuX4gD49mRsdyoxhAVb3pLKwvJb1R7JZG59FTsnF+Y9jw72YPSaYqYP64GAn9xOXcvLkSb799lvS0tL4+OOPVWUffPAB8+bNw8bGhuXLl/Ob3/zGQq28qLpOz6GMYr44lMWWpHPKNkejwzx5emIk4/t6d/mFtYToSJKkNiJJqhBCCGE51XV6NibksDwuQxlGq9HA5AG9eTQ6lLERXlZ/428wGNl1tpA1B7L4+dR5DL/eCXn3cOS+kYHcPzKYIE/ZiqOpqKgojh8/Dpj2MO3Tp49SlpOTw65du7jlllvw8vKySPvq9QaO51wgLqWIuBQtCVkXqNNf3JP45oG+PBUTyYiQXhZpnxBdjSSpjUiSKtrL6dOnlSXX+/fvb+nmiE5IYkiYqzPFUN6Fav7f/kw+P5hFabVpoRlXB1vuHRnEw2NDCfV2tXAL2ybvQjVfHMzii0PZFJTXAqake2J/X2aPDiamv69VDwVt7xgqKChgy5Yt5OfnM3/+fFXZyy+/zF//+lfANM/0/vvvN/vnmcNoNHL6fDlxKUXsS9ESn16sbEXUwN/d6dc9eMPo3+fqtznqDjpTPySsi2xBI0QHqKmpob6+Hr1eb+mmiE5KYkiYy9pjyGg0cjTrAp/FpbM16Rz6Xx85Bnu68PC4UO65IRC3Tr61i7+HM89P7c+zk/vy08nzrD6Qxd4ULT+fKuDnUwUEeDjzwKgg7h0ZhG9Py82tvZT2jCGj0ciIESPIycnBycmJP/zhD7i4XHyi/MADD+Dt7c3tt99Ov379zP55bZFdXEVcipa41CL2p2rRVtSpyj1c7BkX4cW4CG+iI70J9XKx+if7lmbt/ZDoniRJFd2Wra2tsuS6EG0hMSTMZa0xVKczsCUpn8/iMkjMvqAcHxvuxdzoUCYP7G3VTxfbwt7WhluG+HHLED/StZWsjc9k/ZEcci9U888fz/Dv7WeZOrg3c0aHWNWQ5rbEUE1NDTt27KCoqIg5c+YoxzUaDbfeeiuffvopNTU1/Pzzz8TGxirlQ4YMYciQIe3a/ispqqhlX2oR+1K1xKUUkVWs3rrJ2d6WkWGeREd4ER3pzSA/N2y6WGx2NGvth0T3JsN9hRBCCAFAcWUda+MzWXUgk/NlpqGvDnY2zIjyZ250GIP83Szcwmurpl7PlqR8Vh/I4kjmxf1ew71deXB0MHePCMTDxcGCLbx6er0ef39/CgoK8PX1JT8/X3UPtWvXLrZu3UpsbCxjxoy55olLZa2Og+nFytPSk/llqnJbGw3DgjyIjvBiXKQ3w4M9ZNsYISxE5qQ2IkmqEEII0b5OnytneVw6XyXkUqszLTTj09ORh8aE8ODoYLx7WGbbEGtyMr+MtfFZfJWQq8x7dLCzIXaoH7NHh3B9sIfVPF0F0/1SQkICJSUl3HzzzaqymTNn8s033wAQHx9v0T1663QGjmVfMCWlKVqOZV9AZ1Dfmg7o05PoSG+iI70YFeZFD0cZCCiENZAktRFJUoUQQgjzGQxGfj5VwPJ96cSlFCnHrwtw59EbQ7n9On/ZjqUFFbU6Nh3LY/WBTE40eso30M+N2aODmTk8wOJJVHV1NX379iU3N5fBgweTlJSkKv/yyy/54YcfiI2NZerUqbi6XrtFrwwGIyfyy5Thu4cyiqmqU8+FDPJ0JjrCm3GR3oyL8JIvSYSwUpKkNiJJqhBCCNF2FbU61h/OZuW+DDKKTPP7bDRwy5A+PBodxoiQXlb1RNBaGY1GjmVfYE18Ft8m5ilPoF0dbJk5PIDZo0OuyfDorKwsSkpKiIqKUh0fN24c+/fvByAtLY2wsLAOb0tLjEYjmUVVxKVq2ZdimltaUlWveo2XqwNjf51TGh3hTbCXbP8jRGcgSWojkqSK9lJQUKAsFODr62vp5ohOSGJImOtaxlBWURUr92fw5aFsyn8drurmZMcDo4J5aGwIgb0kMWir0qp6NhzNYU18JmmFlcrx64M9mD06hNuH+uFk377zJktKSoiJieH48eOMGzeOr776ShVD//73v/npp5+IjY3lvvvuw8PDo11//uUUlNewP7WIvWe17EstIvdCtarc1cGW0eFejPs1Me3fu6csdmRB8rdMtJUkqY1IkiraS2JiorIvWNNvoIVoDYkhYa6OjiGj0Uh8ejGf7U1n28nzNPzFD/dxZW50GHddH4CLg8zvay9Go5EDacWsjs/kh6RzytxKDxd77r4+kAdHBxPu0+Oq6y0rK+PChQsEBwerfla/fv1ISUnB1taWHTt2cNNNN7XbtVxV+2rqiU8zLXa0L1XLmfMVqnJ7Ww3Dg3sRHWGaVxoV5IG9rdy3WQv5WybaSvZJFUIIIUSr1dTr2ZSYx/K4DNXqqOP7+fBodCjj+/rIk6sOoNFoGBvhxdgILwrKa1h/OIe18VnkXqhm6d50lu5NZ1yEF3PGhDBlUO8rJmrnzp3joYceYteuXcyaNYt169apftb06dPZtm0b0dHRXMtnDjX1eo5mlbAvpYi4VC3Hc0qVPXRNbYNBfm5E/zqndFSYp3wZIoS4KvIkVXRbpaWlGI1GNBoN7u7ulm6O6IQkhoS52juGCsprWH0gizUHMimqrANM+0jeeX0Ac6NDifTtafbPEFdHbzCy+0whqw9k8vPpAuVptk9PR+67IYgHRgcT4OGMTqejoqJCNSxXp9Ph6+tLSUkJbm5uaLVa7O3tlfKGe6KO7of0BiPJeaXEpRQRl6LlUEaxMge3QZi3qzJ8d2y4F71cO9fWPN2Z/C0TbSXDfRuRJFUIIYRQ+yWnlOVx6Xx7PI96venPur+7E78ZF8r9I4M63V6eXVVOSRXrDmXzxaFsCstN+9DaaMC9KpfcnZ9z7/ghfLhokeqc2bNnExcXx/Tp03nzzTfp1atXh7fTaDSSpq1UtoU5kFZMabV6sSOfno7KXqXRkd4EeDh3eLuEENZFktRGJEkVQgghQKc3sO3EeT6LS+dQRolyfERILx6NDmPa4N7Yybw/q2I0GtHpdGBjy7YT51kTn6na/ofKIv40ayz3jQzGp6dp25XKykpcXFw6fMXlc6U1pqT011V4z5XVqMp7OtoxOtyL6Egvboz0JtK3h6wCLUQ3J0lqI5KkCiGE6M5Kq+pZdziLlfsylVVT7Ww0xA71Y250GFFB124VV9E62dnZvPfee3z77bc8/PDDvPrqq0pZamEFd7/4PkXu/bBxMi2qZGejYdqQPsweHczYcK8OSQZLq+rZn1b0636lWlIbrUoM4GBnww0hvZR5pdcFuMuXHkIIFUlSG5EkVbSXuro65d8ODjIUTlw9iSFhrquJodTCClbEZbDhSA7V9XoAPF0dmD06mDljQujt5tShbRVtl5WVRUhICACjRo0iPj5eVZ6Xl0dPD0+2ndKy+kAmR7MuKGXhPq7MHh3C3dcH4u5iT1OtjaGaej2HM0qI+zUpTcotpdFaR9ho4LoAd9Pw3Qhvbgjt1e7b5gjrJH/LRFtJktqIJKmivciS68JcEkPCXFeKIaPRyJ6zWj6LS2fn6ULl+IA+PXk0Oow7hvlLImEl8vLyWLlyJZs3b+aRRx7hiSeeUJUPGzaMpKQkxo8fz9atWy+bDJzIK2NNfCZfJ+RSWWf6QsLRzobpUf7MHh3MsCAP5enqpWJIpzdwPLeUfSla4lKKOJJVQl2TxY4ifFyJ/nVO6ZgwrxaTYNH1yd8y0VayBY0QQgjRjVTX6dmYkMPyuAxSCkx7Tmo0MHlAbx69MbTDhoCKtjt37hwLFiwAoFevXs2S1FWrVhEUFKRavfdSBvm78fas63jptoF8cyyX1QeyOJlfxoYjOWw4ksNgfzdmjw5hxjB/5Ryj0ciZ8+W/LnZURHxaEeW1OlW9fdycfk1KvRgX4U0fd3n6LoSwTvIkVXRbGRkZ6PV6bG1tCQ0NtXRzRCckMSTM1TSG8i5U8//2Z/L5wSxlNdUejnbcc0Mgj4wLJcTL1cIt7t60Wi3ffPMNmzdv5vHHH+f2229XyoxGI4GBgeTl5XHDDTcQHx/fbvcmRqORhOwLrDmQxebjecr2Lz0c7ZgY3pOqej0JeVUUV6mTUndne8b+utjRuEhvwr1d5csN0Yz8LRNtZVXDfcvLy1m4cCHHjh0jISEBrVbLa6+9xuuvv97stfX19SxatIjly5eTkpKCo6MjgwYN4p///Cfjxo1TXpeSksIbb7zBrl27KCwsxN/fnxkzZvDyyy/j5eWlqlOSVCGEEF2J0WjkaNYFPotLZ2vSOfS/ThQM9nThkXGh3HNDID2dZBimNdi6dSu33norAHPnzuWzzz5Tlf/888+EhoYSHh7eYW24UFXHhiM5rI3PIk2rXuzIyd6GkaGepqelEd4M8nfD1kaSUiFEx7Cq4b5FRUUsWbKEqKgoZs6cydKlS1t8nV6vZ9asWezdu5cXX3yRcePGUVlZyZEjR6isvNipFhYWMmbMGNzc3Fi4cCHBwcEkJCTw2muvsWPHDo4cOSIJqBBCiC7HaDTy/S/nWLInjcTsiwvljA334tEbw5g0wFcSDAuoqqrip59+Up6Wjhw5UimLiYnB1dWVyspKDh8+3OzcSZMmdXj7PFwcePymcB67MYz9qUVs/iUfL1cHxkV4c32IB452MkdZCNH5XXWSGhISQklJCRqNBq1We8kkddGiRWzZsoW4uDjGjBmjHG88NAbgm2++oaioiHXr1jF58mQAJk6cSG1tLQsWLCAxMZHhw4dfbTOFEEIIq7Y8LoM3N58ATNt9zBzmz9zoMAb6uVm4Zd3bhg0bePjhhwHT3NLGSaqTkxOffPIJkZGRquOWoNFoGBfpzbhIb4u2QwghOsJVJ6mtncvwwQcfMH78eFWC2hJ7e9MQJnd3d9XxhoUFnJxkUr8QQoiu5UhmCX/9/iQAj90YxtMxEXj1cLRwq7oPg8HAoUOHlJV4IyIilLLbbrsNjUaD0Whk27ZtvPvuu6pzZ8+efa2bK4QQ3U6HrO6bnZ1NRkYG06dPZ8GCBSxbtoyioiL69+/Piy++qHxDCTBz5kyCg4N54YUX+OijjwgJCeHo0aO8++67TJ8+nYEDB17x5yUnJxMSEoKb28Vvn2trazl16hRg+iY0ODhYdc7Zs2epqqoCaLbctlarJTc3F4Dg4GB69eqllOn1epKSkgDTmOum807S09MpKysDYPDgwdjZXXyLL1y4QGZmJgD+/v74+Piozj1+/DhGoxFnZ2f69eunKsvOzqa4uBiA/v37q5L3iooKUlNTAfD19cXPz0917okTJ5SlxQcNGqQqy8/Pp6CgAICIiAh69OihlNXU1HD69GkAPD09CQoKUp175swZqqur0Wg0DB06VFVWWFhIXl4eYHr63ng1Q51OR3JyMgBubm6EhYWpzk1LS1PGtw8ZMgRb24tDl0pKSsjKygIgICAAb2/1N8iJiYkAuLi40LdvX1VZVlYWJSUlAAwYMICcnBzlffHx8SE9PR2A3r1706dPH9W5ycnJ6HQ6HB0dGTBggKosLy+PwkLT1hCRkZG4ul5c2KSqqoqzZ88C4OXlRWBgoOrc06dPU1NTg62tLUOGDFGVFRQUkJ+fD0BoaKjqi5y6ujpOnjTd4Lq7uzdb6CA1NZWKCtOKoNddd51qyHxRURE5OTkABAYGquZ9GwwGfvnlFwB69OihunED0+IKpaWlAAwcOFC1hUJpaSkZGRkA+Pn54evrqzo3KSkJvV6Pk5MT/fv3V5Xl5ORQVFQEQN++fXFxcVHKKisrSUlJAcDHxwd/f3/VuadOnaK2thY7OzsGDx6sKjt37hznz58HICwsrN37iIaYcHZ2Vt4r6SMu6ux9hKPjxaSxrKys3fqIGqMdv197FJ3ByISwHtzap4qM00lU9+4tfcQ16iM+/PBDnnvuOQCqq6t56KGHlD7C29ubv/71r/Tr1w9/f38SExOt+j4iNTVV+f2trKyUPoLO30dc6/sIjUaDg4MD9vb2yu90d+8jGnT0fQR0jVyjI3RIktrwpq9cuZLAwEA+/PBD3N3d+fTTT3nkkUeoq6tTlmZ3d3fnwIED3HXXXapfrnvuuYdVq1a16ufpdDqarv9kNBqpr69Xyls6p6G8KYPBoJQZDIZm5a2tt2mbGter1+tbrNdoNCpPlxvT6/Vm1Xupa21cb9NrbfwetlRvw7W29HS9tfVa8rOpqKhQ/uh6e3tf8T3U6XQtzo++3Gdzpfew4bNpqexy9Ta+1qv9zFv7HrZ0fuM2NXWla62rq8NgMKhuFlqqt63vYUvvUWvrNScOa2pqmrVL+giTzt5HXKpN5vQROr2BeeuPkV9aQ7iPK09e3xMwYDQapY/ogD4iLS2NFStWcPPNN6uSkWnTpin/3rlzJ/fff7+q3vnz51NTU0NSUpLy2TZlLfcRjf+WNdwPSR/RefsIS9xHaDQa6urqVHHTXfqIhnZa8j6iK+QaHaFDktSGN7umpobvv/+ekJAQAKZMmcINN9zAm2++qSSpJSUlzJgxg6qqKtasWUNQUBBJSUksXLiQO+64g++++071DUGLF2Fn16yD02g0ygfQ0vl2dnYtfkAANjY2SllLnUlr623apsb1tvQLZm9vj9FobLFeW1tbs+pt/P+XqrfptTZ+D1uqt+FaW/rj0tp6reWzudK1Nlznld7DttTbsOz71dTbcO7l6jX3PbzStTZ1pWt1cHBAr9d3yHtoMBiu+vemPeLwUn98pI8wkT4C5fUNx5fEZbHnrBYnexsWzx5B9blUdL9uJyJ9RPv2EX//+9/585//DJiets2YMUMp69evH7/73e/o168fQ4cObTFOrTEOpY9oXq+1fDad+T5Cr9c3S0q6Qx/RuL2Wuo9o+HdLbWpNvdbSR3QEs/ZJ1Wq1+Pj4NNuC5vTp0wwYMIChQ4cqwyYaLFiwgHfeeYfz58/j6+vL/Pnzee+998jMzFQ9Ot6xYweTJk1ixYoVquHBsgWNaC+Nv7mS+BFtITEkrsaes4X85rODGI3w3r1R3Hl9oMRQO7hw4QI//PADM2fOVA2/3LNnD+PHjwfg3nvvZd26dZZqYoeSGBLmkhgSbWVVW9C0RkREhGoseGMNOXFD448dO0ZAQECzsc0Nq+Y1jMkWor1JRyzMJTEkWiu/tJrnvjiG0QgPjArmzutN88okhszz7rvv8sorr6DX69m6datqGO/YsWOZNm0aEyZM4I477rBgKzuWxJAwl8SQsEYdEpV2dnbMmDGDkydPKhOgwZSgbt26lYiICGVuiL+/Pzk5Oco81gb79+8HaDZBXAghhOhM6vUGfr82geLKOgb7u/Ha9EFXPkmo1NfXs2vXrmZDEvv27avMj9q8ebOqzM7Ojq1bt/LSSy81WwxFCCGEdWvTk9QtW7ZQWVmpPN49ceIEGzZsAExLt7u4uLBw4UK2bNnCLbfcwuuvv46bmxtLly4lMTGRL7/8UqnrmWeeYc2aNUyZMoX58+crc1LfeustevfuLUu9CyGE6NT+tuUURzJL6Olkx0ezr8fJ/trM5+kq/v73v/P2229TVlbGeQkevQAAIABJREFU0aNHVXunT5kyhYEDBzJt2jTuueceC7ZSCCFEe2rTnNTQ0FBleeOm0tPTlaXuk5KSmD9/Prt376a+vp5hw4bx8ssvExsbqzonISGBhQsXcujQIQoLCwkICGDSpEn85S9/abZcucxJFe2lqKgIg8GAjY2Navl0IVpLYkhcydakfJ5cfRSAJQ+NYOpg9bYUEkMXGY1GUlJS6Nu3Lz/99BOLFi1i+/btVFVVKU9QFyxYwNtvv23hlloXiSFhLokh0VYdmZeZtXCSJUiSKtpLYmKismx/0/2rhGgNiSFxORnaSqYv2kt5rY7fjg9nwW3N9/2WGDJ5//33+c9//kNGRgZPPvkkH3/8cYuv8/X1JS4ujsjIyGvcQuslMSTMJTEk2qoj8zLJ7IQQQoh2VlOv56k1Rymv1TEytBf/N63/lU/qJkpLS5sdKysrU9awaJyg+vj4cN111yn/XVBQQGxsLHV1dR3eTiGEEJYjSarotgIDAwkJCZHFuUSbSQyJS3ntm2RO5pfh3cOBDx+8Hnvblv/cdqcYWrx4MaNHj6ZPnz7NvnmfPn069vb2ODk5Kcfef/998vLyOH78OKdPn2bgQNOT6NOnT/PVV19d07Zbs+4UQ6JjSAwJayRJqui2vLy88PHxkfkXos0khkRL1h/OZt3hbDQa+OD+4fR2c7rka7tqDDWsuNtYcnIyBw8epKamhm3btqnKhg8fzpYtW6ipqQFMCyLNmzdP2XC+X79+fPjhh8rr165d24Gt71y6agyJa0diSFgjSVKFEEKIdnIyv4xXvzHt7/38zf2IjvS2cIuurVWrVjF9+nRCQ0ObJaoNiyYOHTq02XkajYaKigrlv2+66aZmr5kwYYLy74KCgvZqshBCCCvUpi1ohBBCCKFWXlPP02uOUlNvIKa/D89M7H6L+3z77bfKfqX79+/nxhtvVMomTpxIZmYmwcHBLZ7r6emp/PvIkSPNyg8fPqz8u1evXu3VZCGEEFZInqSKbstgMCj/E6ItJIZEA6PRyPz//UK6thJ/dyfev3cYNjaaK57XGWNo06ZNPPbYY4wfP75ZWcPTUj8/P86fP68qc3R0vGSCCjBmzBj8/PwA+Oabb/jyyy+VrWcKCwt57rnnlNfeddddZl9HV9EZY0hYF4khYY1kCxrRbcmS68JcEkOiwfK4dN749gT2thrW/W4s1we37klfZ4yhmJgYdu3aBcCpU6fo3//iysWlpaWkpKQwfPjwNv1d/sc//sGLL76o/PfgwYMJDAxk9+7dVFdXAxAQEMCZM2dwcXEx80q6hs4YQ8K6SAyJtpItaIQQQggrdTSrhLe/OwnAy7cNbHWCaq2MRiNxcXG89NJLzJ07t1l5w9NSZ2dnkpOTVWXu7u6MGDGizTcoL7zwAnPmzFH+Ozk5mR9++EFJUL28vNi0aZMkqEII0cXJnFTRbfXo0UP55lCItpAYEsWVdfx+zVF0BiO3X+fHw+NCr+p8a4whjUbDE088wcmTJ7GxseEf//gH3t4XF4C6//77GTRoEBMnTsTZ2bldf7aNjQ0rV65k2rRpLFq0iIMHDwKm5Pfhhx/mhRdeuOyQ4e7IGmNIdC4SQ8IayXBfIYQQog0MBiOPrDjE7jOFhHu78s3vo+np9P/Zu+/4qKr08eOfSSa9kV4hgUAIIXRQpIiKICURUFFUXF3sui7uovwQLAj2FYSVrxUX3RV1AREhil0URUQhBJJAgJCQBilDSMikTP39kc01lwRIn0nyvF8vXsY59545M/PMmfvcc+85necg7+jRo2zbto3y8nKWLl2qKvt//+//8dJLL6HRaNi6dasyetrRysvLqaqqwt/fX1mORgghhH1oz7xMklQhhBCiBf757VFWfn0EVycHtjw4ltgQb1s3qcksFguhoaEUFRXh4eFBSUkJrq5/rOeamprK3r17mTp1KkFBQTZsqRBCCHsl96QKIYQQduSnoyW88s0RAJ6ZOchuE1SdTsf69etZu3at6nEHBwemTZsGgF6v5+eff1aVx8fHc/vtt0uCKoQQwiZkJFUIIYRohlNl1Uz/5050egNzRvXkhesH27pJjaqpqcHf3x+9Xk9YWBh5eXloNH8si/PDDz+wZ88eEhISiI2NVZUJIYQQFyOX+9YjSapoK9nZ2ZjNZhwdHYmKirJ1c0QnJDHU/RjNFm5+aze/nyglLtSbzQ+MwdXJscX1tUUM1dTU8OOPP2IwGJg+fbqqbPr06Xz++ecA/P7774wYMaLFbRX2Sfoh0VoSQ6Kl2jMvk1kIRLdVVlYms9mJVpEY6n7+8WUGv58oxctFy+tzh7cqQYXWx1B5eTk9e/akvLycIUOGNEhS77jjDuLi4khISGDwYPsc8RWtI/2QaC2JIWGPJEkVQgghmuCL1FO89eNxAP4xewiR/h4d9txWq5UDBw5gMBgYNWqU8ri3tzcxMTH8/vvvpKSkkJubS8+ePZXy2bNnM3v27A5rpxBCCNEWJEkV3daAAQNs3QTRyUkMdR8ndHoe3ZgCwN3jezMlPqRN6m1KDJ06dYpLLrmE3NxcJk2axFdffaUqnzt3rjJa6ufn1ybtEp2H9EOitSSGhD2Se1KFEEKIC6g2mrnutV2knyxnZKQvH94zGifH9vnNKSgooKqqiujoaOUxq9VKVFQUOTk5ODk5odPp8PLyapfnF53L6dOnyc3Nxd3dnejoaDkWEkJ0KFmCRgghhLCRp7elkX6yHH8PZ9bcMrxdEtTs7GxGjBhBeHg4Tz31lKpMo9Ewe/ZspkyZwiuvvNLmzy06n/3793P99dcTFBTE0KFDiYmJoV+/frzyyiuYTCZbN08IIVpNRlKFEEKI89i0N49HNqag0cB/5l3KuH4Bra5Tr9dTWVlJYGCg8pjBYCAwMJDy8nJ8fX0pKipCq5U7ckRDX331FTNmzKC6urrR8muvvZZNmzbJJDhCiHYnI6lCtIOysjLOnDlDWVmZrZsiOimJoa7t8KlyHt9yEICHJ8a0OkE9duwYU6dOxd/fn+effx74I4aqqqqYMmUKI0aM4K9//et5ExDRvel0OmbPnq3ER0hICLfccgvjx49Xttm6dSsvvviirZooOiH5LRP2SEZSRbeVkpKiTLk+ZMgQWzdHdEISQ11XRY2Ja1/9ieMlei6PCeTdO0bh4KBp8v5ms5mamhrc3d2Vx0pLSwkMDMRsNtO3b1+OHDnCgQMHlBiKi4uT0S9xQS+//DKPPvooULsG7qZNm8jIyMBoNPL777/zwAMPYLVaCQ4OJicnB2dnZxu3WHQG8lsmWkpGUoUQQogOYrVa+X8fH+B4iZ5QH1dW3TS0yQnq0aNHuf322wkJCWH16tWqMl9fX8aNG0dERARXX301NTU1qnJJUMXFbNu2Tfl75cqVuLq6Kv9/2WWXMWPGDAAKCwvZu3dvh7dPCCHaitzwIrqt0NBQzGYzjo6Otm6K6KQkhrqm93Zl89mBk2gdNKy5ZTh+HucfjbJYLKozxg4ODvz73/8GICkpiccee0y1/ebNm/H19UWjqU16JYZEc9SNWDg4ONCvXz9AHUMDBgxgy5YtAJSXl9usnaJzkX5I2CMZSRXdVlBQEKGhoQQFBdm6KaKTkhjqepJzSnn280MALJ42gBGRvg22yczM5JFHHiE2NpZ169apyqKjoxkwYACenp6EhYVhNptV5X5+fkqCChJDonnCw8OB2pMj33zzDfBHDAUGBvLll18q20ZERNikjaLzkX5I2CNJUoUQQgigVG/gwfX7MJqtTBsUwp/HRjW6XXFxMStWrCAjI4OkpKQG5Vu3bqWkpISNGzfKyIRoU7fddpvy97333ssvv/wC1E58s2DBAvbt2wfAsGHDiIuLs0kbhRCiLTQ7ST179iwLFy5k8uTJBAYGotFoWLp0aaPbGo1GVq5cyaBBg3Bzc6NHjx6MGTOGXbt2Ndg2NTWV2bNnExgYiIuLC1FRUTzwwAPNfkFCCCFEc1ksVv62YT8FZdX0DvDgr6P9efnll7n88sv57LPPVNtecsklBAYG4uDgQFVVFefOP9i3b19cXFw6svmim5g1axaDBw8GICsrizFjxhAcHExgYKBqDd2nnnpKNWIvhBCdTbPvSdXpdLz11lsMGTKEmTNnsnbt2ka3M5vNzJo1i59++omFCxcyZswY9Ho9e/fuRa/Xq7b9/vvvmT59OuPHj+eNN94gICCAnJwckpOTW/aqhBBCiGZ4bccxdmQU46J14LVbh3Pktx0sXLgQgAEDBjB9+nRlWwcHBz799FNiYmLw9/e3VZNFN+Tk5MRnn33GlClTSEtLA6CoqEgpd3BwYPXq1coESkII0Vk1ewmaus01Gg0lJSUEBgby1FNPNRhNXbVqFQsWLODnn39m9OjR562vsrKSvn37Mnz4cLZt23bRM3+yBI1oK6mpqRgMBpydnYmPj7d1c0QnJDHUuZWUlPDZZ5/xwbd7ORp2DRbgHzcMZvbInlRWVuLv7091dTVXXHEF33//fbu0QWJItERVVRUffvgh69at48iRI7i6unLZZZfx5JNPymW+otmkHxIt1Z55WbNHUpt6+cjq1au5/PLLL5igAmzcuJGTJ0/y6KOPyqUpokOZzWYsFkuDiU2EaCqJoc7t008/5d6HFxJ6x2ocgZtG9mT2yJ4AuLu7s379euLj44mJiWm3NkgMiZZwc3Nj3rx5zJs3T7XGpSSooiWkHxL2qF2WoMnNzSU7O5vExEQWL17MO++8g06no3///ixcuJDbb79d2fbHH38Ear8g48aNY8+ePXh4eDBlyhRWrFhBWFjYRZ8vLS2NyMhIvL29lcdqamo4fPgwULs2Xa9evVT7HD16lMrKSoAGCxeXlJSQn58PQK9evfD1/WN2R7PZTGpqKlB7pqBPnz6qfbOyspRp3wcOHIhW+8dbfObMGU6cOAFAWFgYgYGBqn0PHDiA1WrFzc2twUFRbm4up0+fBqB///6qtdEqKirIzMwE/pihrb709PTz/oCdPHlSuVQoOjoaT09Ppay6upqMjAygdkbKnj17qvY9cuQIVVVVaDQa5R6ZOsXFxRQUFAAQGRlJjx49lDKTyaRcpuTt7U3v3r1V+x4/flw5KxMfH6+aeKS0tJScnBygdpbDgIAA1b4pKSlA7QFm3fT8dXJycigtLQUgNjYWV1dXHB0dcXJyory8nKysLACCg4MJCQlR7ZuWlobJZMLFxYXY2FhVWUFBAcXFxUDtvWgeHh5KWWVlJUePHgXA39+/wWyLGRkZVFdX4+jo2ODsZVFRESdPngQgKioKHx8fpcxgMHDoUO0MpD4+PkRFRan2zczMpKKiAoBBgwapzmjpdDry8vKA2tkf61+uaLFYOHjwIACenp5ER0er6s3OzqasrAyovQSy/kLxZWVlZGdnAzQ6S2BqaipmsxlXV1f69++vKsvLy0On0wHQr18/3N3dlTK9Xs+xY8cACAwMbNAnHD58mJqaGrRaLQMHDlSVnTp1isLCQgB69+7d5n2EyWTCyclJ9X2UPuIP9tBHeHp68v3335OUlMSjjz6qxK+7uzuTr5lKwLU6HD18cdIXcdfwgUofEhsby3XXXafU2159hJOTE0ajEZPJRF5envQRXayPgPY/jqj/WyZ9RK2OOo6of+95Zz6OAHB1dVWt1Sx9RK2u0EfU1159RHtolyS17k1/7733iIiIYM2aNfj4+PD2229zxx13YDAYuPvuu1XbXn/99dxzzz0sX76cI0eOsGTJEiZMmEBKSooq0BpjMpkaTFxhtVoxGo1KeWP71JWfy2KxKGUWi6VBeVPrPbdN9ett7GyV0WjEarU2uqC72WxuVb3ne6316z33tdZ/Dxurt+61NjYC3tR6bfnZ1O/gysrKLvoemkymRi9fuNBnc7H3sO6zaazsQvXWf63N/cyb+h42tn/9Np3rYq/VYDBgsVgane20Ld7Dxt6jptbbmjg89we6rk1NqVf6iPbvI1atWqWsVdq/f3/GjBmj1PH+gTJcew7ETQvbHr8eB31Jq+KwJX1EZGQkhw4dwmq1Sh/RRfuI9j6OqP9btnfvXukjsM1n0159REccR/j6+jZIJqWPaF699hKHtjqOaA/tkqTWvdnV1dV8/vnnREZGAjBp0iRGjhzJsmXLlCS1btubbrqJF198EYArr7ySkJAQZs6cyQcffMBdd9114Reh1Tbo4DQajfIB1D/DUH+fxj4gqJ14oK6ssc6kqfWe26b69Tb2BXNycsJqtTZab91Z0pbWW/+/56v33Nda/z1srN6619rYj0tT67WXz+Zir7XudV7sPWxJvedbQPtC9dbte6F6W/seXuy1nutir9XZ2Rmz2dwu76HFYmn298Ye41D6iIb1NuWzsVgsJCcnk5SUxJ/+9CdVvdOnT1eS1O3btzNhwgQA9uRX8+aPtaM0r8wZTt9gb3JyzkgfgfQRjdUrfUTn7iPqk+MI9b4Xqlf6COkjmlpve2j2xEn1nW/ipIyMDGJjYxk8eLBy2USdxYsX8/zzz1NYWEhQUBA333wzH330EZs3b2bWrFnKdtXV1bi7u3Pffffx2muvKY/LxElCCCHqW7JkCc899xwAH374IXPmzFHKrFYrjzzyCOPGjWPSpEl4enqSo6tk+qs7OVtt4s5xvXkiQe7jE0IIIZqrPfOydsnsoqOjz3uJbl1OXNf4c+9BOJckn0IIIaD2frA33ngDg8Ggevyqq65S/k5KSlKVaTQaVqxYwaxZs/D09KTaaOb+9Xs5W21iRKQvi6aq7w0TQgghhO21Swao1WqZMWMGhw4dUm6AhtoE9YsvviA6Olq5UX3WrFloNBq2b9+uqmP79u1YrdaLzg4sREvl5eVx4sQJ5eZ/IZpLYqjjLFq0iMjISO6//35++uknVdn48eO54YYbePPNN3nhhRcuWM/T29JJKyjHz8OZNbcMw8nRtidCJYZEa0kMidaSGBL2qEX3pG7fvh29Xq8M76anp7Np0yYApk2bhru7O8uXL2f79u1MmTKFpUuX4u3tzdq1a0lJSWHDhg1KXbGxsTz44IO89tpreHl5MXXqVI4cOcLjjz/OsGHDuPHGG9vgZQrRkE6nU2YrPHe2PCGaQmKo7ZWXl7Njxw4SExNV98QMHTpU+TspKUk1eurs7MzGjRsvWvfmfXl8uCcHjQZWzxlKqI9b2za+BSSGRGtJDInWkhgS9qhFSer999+vTG8MtWud1h0gZGVlERUVRXR0NDt37mTRokXcc889GI1Ghg4dytatW0lISFDVt2rVKiIiIli7di2vvvoqAQEBzJkzh+eee041NbUQQoiu67HHHmPFihUYjUYOHjyoWk7hmmuuYfTo0UybNk01f0FTZZw6y5JPaqf0nz+xH+P7BV5kDyGEEELYSqsmTrIFmThJtJXKykqsVisajeaiyxwJ0RiJoZYxmUykpKQwYsQI1eP//Oc/mT9/PgDPPfecMitva1XUmLh2zU8cL9Yzvl8A7/75EhwdGs50aQsSQ6K1JIZEa0kMiZbqdBMnCdEZuLu74+HhIR2yaDGJoeZ74oknCAoKYuTIkcoi83WmT59OZGQkf/nLX7jyyivb5PmsViuPbT7I8WI9Id6urLppqN0kqCAxJFpPYki0lsSQsEftsk6qEEKI7s1qtVJQUEB4eHiDx0tLSwH4/PPPufPOO5Wy6OhosrKyGl3Pr6X+s/sE21IK0Dpo+L9bh+Hv6dJmdQshhBCifchIqhBCiDb13HPPERMTQ3R0NHq9XlWWkJCAt7c3N954I9HR0Q32bcsEdX/uGZYnpQPw2LQBjIj0a7O6hRBCCNF+ZCRVdFt6vV65B8PDw8PWzRGdkMQQVFVV4eamniU3OzubY8eOAfDdd9+RmJiolF1yySWUlJTg5OTUru0q1Rt4cP0+jGYrU+NDmDc2ql2fr6UkhkRrSQyJ1pIYEvZIRlJFt3Xs2DEOHz6sHEwL0VzdOYZWr17N2LFj6dOnDxaLRVWWmJiIo6MjV1xxBa6urqoyBweHdk9QLRYrf9+wn/wzVUT5u/PiDYPbdIS2LXXnGBJtQ2JItJbEkLBHMpIqhBDigurOsNe3Y8cOdu3aBcBvv/3GpZdeqpRNnjyZkpISevTo0aHtrPP6D5l8n1GMi9aB124dgbdr+ybFQgghhGhbkqSKbiswMBCz2Yyjo6OtmyI6qa4eQ++++y6ffvopBQUF/Prrr6qyhIQEtmzZQlxcHGfOnFGVubi44OJimwmKdmWWsOKrDACWz4gnLszbJu1oqq4eQ6L9SQyJ1pIYEvZI1kkVQgjRqLFjxyqjpZmZmfTp00cpKysrQ6fTqR6ztcLyaqb/cyclFQZmj4jgH7OH2LpJQgghRJcl66QKIYRoc1arlW3btnHvvfdyyy23NChPSEgAICgoiMzMTFWZj4+PXSWoJrOFhz5IpqTCQGyIF8tmxNu6SUIIIYRoIRlJFUKIbiwmJoajR4/i6OhIcXExvr6+Sll+fj55eXmMGjXK7vvY57cf4s0fjuPpomXbQ+PoHSAzVAohhBDtSUZShRBCtIjFYuHXX3/liSeeYPHixQ3K60ZLnZycSElJUZWFh4dz6aWX2n2C+nV6IW/+cByAl24YLAmqEEII0cnJSKrotg4fPozRaMTJyYnY2FhbN0d0Qp0hhkwmE8HBwZw+fRpvb2+Ki4txdnZWytPT08nMzGTixIm4u7vbsKUtk6OrJOHVnZRXm5g3tjdPJsbZuknN0hliSNg3iSHRWhJDoqVkJFWIdlBTU6P8E6Il7CmGsrKyePXVV3nttddUj2u1WqZOnQpAeXk5+/btU5XHxcWRmJjYKRPUaqOZBz7YS3m1iWG9erBoauc7uLKnGBKdk8SQaC2JIWGPZAka0W1ptVqsVitarXwNRMvYSwzp9XpiY2MxGAxERkZy//33q9Y1vffee7niiiuYPn06oaGhNmxp21qelE5qfjm+7k783y3DcdZ2vvOu9hJDovOSGBKtJTEk7JFc7iuEEJ3EmTNn+OKLL3BxcWHWrFmqsmuuuYavvvoKgNTUVAYOHGiLJgK1swb/9NNPfPPNN1RVVREdHc1NN91Ejx492uw5PknO42//TUGjgXf/fAkTYgLbrG4hhBBCXFx75mWSpAohRCdQUlJCaGgoJpOJUaNGsWfPHlX55s2bycjIICEhgfj4eNVIakdKS0tj7ty57N+/X/W4u7s7jz32GEuWLGl1244UnmXGmp+pMpr568R+/H1STKvqE0IIIUTzSZJajySpQoiuzGg0snPnTlxcXBg7dqyqbNiwYUryV1BQYHeX7h47dozRo0ej0+nOu83ChQt58cUXW/wc+hoT1675icxiPeP6BvDevEtwdLBNQi6EEEJ0ZzJxkhBCdAMnTpwgMDCQiRMn8txzzzUov/POO3n44Yf55ptvCAgIsEELL+zRRx9VEtS4uDjWrVvHV199xX333aeMnr700kscOnSoRfVbrVYWbT5IZrGeEG9XVs8ZKgmqEEII0QXJSKrotk6dOoXZbMbR0ZGQkBBbN0d0Qi2NIavVSnp6Oo6Ojqrp/q1WKxERERQUFODi4oJOp8PDo3Os+Zmfn0+vXr2wWCyEhISQkZGBt7e3Ur58+XKefPJJAObPn8+qVaua/Rz/+SWbJz5Nw9FBw3/vGc3IKL+2ar7NSD8kWktiSLSWxJBoKRlJFaIdFBYWcvLkSQoLC23dFNFJtSSGDh8+THR0NPHx8Q0ue9VoNMydO5dbbrmFdevW4ejo2NZNbjcpKSlYLBYAbr31VlWCCvDAAw8of+/du7f59eeeYXlS7QjsY1Nju0SCCtIPidaTGBKtJTEk7JHMNS2EEO2ksLAQi8Wiunc0KiqKoqIiAD777DMsFovqjGNr7tfsqs5UGnhg/T4MZgvXDAzmznG9bd0kIYQQQrQjSVJFt9W7d2+sVqvNZkEVnd/5YujgwYPcdddd7Nmzp8FEQa6uriQkJKDT6UhISMBgMODq6trRTW9zQ4YMwcHBAYvFwvr163nyySdVo6mvv/668veIESOaXK/FYuXvG1LIP1NFpL87/5g9pEt9Z6UfEq0lMSRaS2JI2CO5J7WLMZlMbNu2TbU+4Z/+9Cd69uxp66YJ0SVVVVVhMpnw8vJSHispKSE4OBiLxUJcXBxpaWmqfbrqwcCsWbPYsmULUDtx0iOPPEJERASbN2/mzTffpO7nJj09nQEDBjSpztd2HOOlLzJw1jrwyQNjGBjm027tF0IIIUTTyRI09UiSen67d+9mzpw5nDhxQvW4g4MDf/nLX1ixYgVarQyeC9EWDhw4wJIlS/j2229Zvnw5CxYsUJWPGzeOs2fPkpiYyNKlS7vFd+/YsWNceumlnD59+rzbPProo7z00ktNqu+XTB23rt2NxQovXj+Im0b1aqumCiGEEKKVJEmtR5LUxh04cICxY8dSUVFx3m3uuece3nzzzQ5slRBdg8ViwWw24+TkpDx25MgR+vfvD8CECRPYsWOHap+qqirc3Nw6spl2IS0tjblz5yrrudZxd3fnscceY8mSJU0aRS4qr2baP3+ipKKG64dH8PLswV1y9FkIIYTorGR2X3FRCxcuVBLU0aNHs23bNvbt28fjjz+uHFi/9dZbJCcn27KZdqWmpobq6mpqamps3RRhpw4ePMidd95JWFgYH330kaosJiaGvn37EhISQv/+/Tn3fF93TFABBg4cyL59+9i5cydPPvkkjz76KG+88Qb5+fk8/vjjTUo0TWYLD32YTElFDbEhXjwzM77LJqjSD4nWkhgSrSUxJOxR17/+rBvIzs7myy+/BKBXr1589913ygHysGHD8PPz4+9//ztQm6jWn8CkOzt8+DBGoxEnJyeGDBli6+YIO3DuvaJlZWX861//AmDbtm3cdtttqu1fe+01fHx8cHFx6bJJVEtoNBrGjRvHuHHjWrT/iq+P8GvWaTxdtLxUrJLvAAAgAElEQVR263DcnDvPUjzNJf2QaC2JIdFaEkPCHjV7JPXs2bMsXLiQyZMnExgYiEajYenSpY1uazQaWblyJYMGDcLNzY0ePXowZswYdu3add76v/nmGzQaDRqNhpKSkuY2r1tKTU1V/r755psbjODMmzdP+fvAgQMd1i4hOoOMjAwWLVpEfHy8crKnzujRo/Hz88PNzQ0XF5cG+wYFBXX7Ww3a2reHCnl9RyYAL14/mD6BnjZukRBCCCE6WrNHUnU6HW+99RZDhgxh5syZrF27ttHtzGYzs2bN4qeffmLhwoWMGTMGvV7P3r170ev1je5TUVHB3XffTVhYGAUFBc1tWrfl6PjHKENVVVWD8vqP1d+2u/P19cVkMnWLCW3E+aWlpSlLxCQlJTFlyhSlTKvV8t133xETE9Po5bsSQ20r93Qlf/tv7b2sd4yJYvrg0Ivs0flJDInWkhgSrSUxJOxRs6MxMjKS0tJSZaTzfEnqq6++yvbt2/n5558ZPXq08vj06dPPW/eiRYvw9fVl+vTpPPPMM81tWrc1YsQItFotJpOJ999/nyVLlhAUFKSUr1y5Uvn7sssus0UT7VKvXjJTaHdx4sQJPv74Y5KSklixYgXDhg1TyiZNmoSzszNGo5GioqIG+17o0ieJobZTYzLzwPp9lFebGNqzB4unNW2Jms5OYki0lsSQaC2JIWGPmp2kNvW+q9WrV3P55ZerEtQL2blzJ2+99Ra7d+9m69atzW1WtxYUFMQNN9zARx99xOnTpxk5ciQPPfQQERERfPzxx3z88cdA7VI09957r41bK0TH2759u7JEzLZt21RJqpeXF1u3bmXYsGGqkzuiYy1PSudgfhm+7k78363DcdbKZdRCCCFEd9Uu4/q5ublkZ2eTmJjI4sWLeeedd9DpdPTv35+FCxdy++23q7avqqrizjvv5OGHH2b48OHNTlLT0tKIjIzE29tbeaympobDhw8DtZcxnHuW6OjRo1RWVgINR0pKSkrIz88Has8u+fr6KmVms1m5B9TLy4s+ffqo9s3KyqK8vByoneWy/qUTZ86cUdYwDQsLIzAwULXvgQMHsFqtuLm5ERMToyrLzc1V1h7s378/rq6uSllFRQV//vOf+e677ygqKiI3N5eFCxc2eJ/++te/NmjvyZMnldGj6OhoPD3/uP+rurqajIwMAPz8/OjZs6dq3yNHjlBVVYVGo2Hw4MGqsuLiYuWS7cjISHr06KGUmUwm0tLSAPD29qZ3796qfY8fP65MZx0fH6+6RLm0tJScnBwAwsPDCQgIUO2bkpIC1C530a9fP1VZTk4OpaWlAMTGxqruMSwvLycrKwuA4OBgQkJCVPumpaVhMplwcXEhNjZWVVZQUEBxcTEAffv2xcPDQymrrKzk6NGjAPj7+xMREaHaNyMjg+rqahwdHYmPj1eVFRUVcfLkSQCioqLw8fFRygwGA4cOHQLAx8eHqKgo1b6ZmZnKbM+DBg1S3Tep0+nIy8sDICIiAn9/f6XMYrFw8OBBADw9PYmOjlbVm52dTVlZGQADBgzA2dlZKSsrKyM7OxuA0NDQBglfamoqZrMZV1dXZemWOnl5eeh0OgD69euHu7u7UqbX6zl27BgAgYGBhIWFqfY9fPgwNTU16PV6srKySEpK4qWXXqJnz56cOnWKwsJCVdzXzXBdv48YMGBAg/Z2tT4iM7P2Ps+goCBCQ9WX0aanpyuTZsTFxanKOqKPSKtw5/3dOWg08MpNQwn2dFK+y9JHSB8BbdNHaLVaBg4cqCqr6yMAevfu3a2PI+y5j5DjCOkjQPqIOvbYR7SHdklS69709957j4iICNasWYOPjw9vv/02d9xxBwaDgbvvvlvZ/oknnsBsNvP000+36PlMJlOD5R+sVitGo1Epb2yfuvJzWSwWpcxisTQob2q957apfr1ms7nReq1Wq2otxjpms/mC9fr5+fH222/z8ssvs3PnTlW5r68v9957L3PmzLlgvee+1vrvYWPtrXutjY2uN7Vee/lsLvZajUYjJpOp0UlyLvTZNKVeo9HYaNmF6q3b92L1Nqap72Fj+9dv07ku9loNBgMWi6XR+6Lb4j38z3/+wxtvvAHUrlt63333KfX6+fnxz3/+k6uvvlo5OLDHOGzPPqKl8dLefURuuYnl39ceiD50ZV+u6B+kao+9fDbSRzSst7P1EY29R02t117isDv2ERer114+G+kjGtYrfUT36SPaQ7skqXVvdnV1NZ9//jmRkZFA7b1fI0eOZNmyZUqSumfPHlatWsUXX3zR4nUFtVptgw5Oo9EoH0BjN4JrtdpGPyCovSy2rqyxzqSp9Z7bpvr1NvYFc3Jywmq1Nlqvo6PjReuNjIzkv//9L6WlpXz77bdUVVURHR1NdHS06v04X73nvtb6+zTW3rrX2tiPS1PrteVnc/ToUWWigODg4It+Nk15Dy8Uh+er12w2N1p2oXrrv9bz1dva9/Bir/VcF3utzs7OmM3mVr2HJpOJr7/+mqSkJJ555hm8vLxwcnLCYrEwceJEJUn99ttvue+++1T13n777aozoG0RhyaTiYKCAk6fPq06426vfcSF6q3/3/PV29Z9hAlHVuzWUWW0MLavP/OvjmlQr7303035Lrekj8jNzVUekz6i9X3E+V6rxWJp9vfGHuOwse9y/d+yrtZH2PtxxPna1NmOI/R6PYcOHUKr1Sq/ZdJHNK9ee4lDWx1HtAeNtbHTBk1UUlJCYGAgTz31lGoZmoyMDGJjYxk8eLBy2USdxYsX8/zzz1NYWEhQUBDx8fHExcXx1ltvKdu88MILvPjii2RmZhIYGIiXl5dSZrFYlEs46nh5eckyEKLZUlJSlMuXZF2wzuHhhx9m9erVAHz88cdcd911SpnVamXp0qVcddVVjB07tkNmKZQYajmr1crf/rufLfsLCPZ24bO/jifAs+EyP12dxJBoLYkh0VoSQ6Kl2jMva5fMLjo6WnUteH11OXFd49PS0ti4cSO+vr7Kv7rlIKKjoxk/fnx7NFEIYaesVispKSm88MILDS5zmTp1qvJ3UlKSqkyj0fD0008zYcIEmUa/E1j/aw5b9hfg6KBhzS3Du2WCKoQQQojGtcuRnFarZcaMGWzatIns7GzlZmyr1coXX3xBdHS0cqP6999/32D/d999l/fee48tW7YQHh7eHk0UQs4W2qn777+fN998E4CxY8eqTlRNmDCBefPmMWXKFCZPnmyrJiokhlrmQN4Zlm1LB2DRlFhGRfnZuEW2IzEkWktiSLSWxJCwRy1KUrdv345er1eGd9PT09m0aRMA06ZNw93dneXLl7N9+3amTJnC0qVL8fb2Zu3ataSkpLBhwwalriuuuKJB/Tt27ABqD1DPnXVNCNE1FBQU8N1333Hrrbeq7n0YO3askqQmJSWpklRXV1feeeedDm+raDtllUYeWL8Pg9nC5Lhg7hrf++I7CSGEEKJbaVGSev/99yvTGwNs3LiRjRs3ArXTIkdFRREdHc3OnTtZtGgR99xzD0ajkaFDh7J161YSEhLapvVCiE7pvvvuUxLRUaNGqaaSnzp1KlOnTiUhIUH6ii7GYrHy9w37ySutopefO/+YPaTJa28LIYQQovto1cRJtiATJwnReVRUVPD77783uGJixYoVPPLIIwC8/PLLLFiwwAatEx3t9R2ZvPjFYZy1Dmy+fwzx4T4X30kIIYQQdqk98zKZXUR0WyUlJVgsFhwcHOSy8nbwl7/8hbVr12IwGCgsLFQtKJ2YmMj69etJTExUTYbU2UgMNd3u4zr+8WXtoudPXztQEtT/kRgSrSUxJFpLYkjYI0lSRbeVn5+vTLkunXLLmc1mjh49SmxsrOpxT09PampqgNr72P/0pz8pZTExMezbt69D29keJIaapuhsNQ99mIzFCtcND2fOqJ62bpLdkBgSrSUxJFpLYkjYI7lGVgjRYgsWLCAkJIQRI0ZQXV2tKktISCAiIoL77ruPuLg4G7VQ2JrJbOGvHyZTfLaG/sFePDMzXu5DFUIIIcQFyUiq6LZ69eqlXN4iLu706dP4+amXCiktLaWkpASonZV7ypQpStnYsWPJycnp0gmJxNDFrfz6CLuPn8bD2ZHX5g7H3Vl+duqTGBKtJTEkWktiSNgjOVoQ3Zavr6+tm9ApPPnkk2zYsIHy8nLy8vJUP2IJCQls3LiRyZMn4+OjvsewKyendSSGLuyL1FO8tiMTgBeuH0x0oKeNW2R/JIZEa0kMidaSGBL2SJJUIYTCZDKh1aq7hX379pGRkQFAcnIyI0aMUMoSEhIoKSnBxcWlQ9sp7FtZlZEXth/mwz05ANwxJorEIWE2bpUQQgghOgsZ1xeim7NaraxYsYIJEyZw6aWXNihPSEjAwcGBcePGUVVVpSpzdnaWBFUorFYrnx88ydUrf1AS1Fsu7cXiaQNs3DIhhBBCdCayTqrotsxms/K3o6OjDVtie5dccgm//fYbACdOnKBXr15KWXl5OUajEX9/f1s1z25JDP2h4EwVT36axjeHCgHoE+jB87MGcWkfiZsLkRgSrSUxJFpLYki0lKyTKkQ7SE1NVaZcHzJkiK2b067MZjPvv/8+SUlJWCwWPv74Y1V5QkICv/32GzExMeTl5amSVG9v745ubqfRnWLofMwWK+/vPsFLXxxGbzDj5Kjh/iv68uCV0bho5WDnYiSGRGtJDInWkhgS9kiSVCG6AQcHB5566ilOnDiBk5MT5eXlquTz7rvvZs6cOcTExNiwlaKzOXyqnMc2HyQ55wwAIyJ9eeG6QfQL9rJxy4QQQgjRmUmSKrotLy+vRicK6qxMJhNff/01SUlJuLm58fLLLytlGo2GxMRE1qxZg7e3N4cPH+aSSy5RykNDQwkNDbVFszu1rhZDTVVtNLPmu2O88UMmJosVLxctC6fGcuslvXBw6PqzOrel7hpDou1IDInWkhgS9kjuSRWiizAajQQEBFBeXo6vry9FRUWqH5zDhw+j0+kYPXq03HMiWmxXZglLPkklq0QPwDUDg3n62nhCfFxt3DIhhBBCdCS5J1UIAdR2BsnJySQlJdGjRw/mz5+vlDk5OTFlyhQ2bNiAXq/n0KFDDBo0SCmPjY21RZNFF3Gm0sBznx9iw+95AAR7u/D0tfFMiQ+xccuEEEII0dXISKoQnciZM2cICAjAbDYTHR3N0aNH0Wj+uLxy165dFBYWMmnSJDw9PW3YUtFVWK1Wth04ybJtaZRUGACYO7oXC6fE4u3qZOPWCSGEEMJW2jMvkyRVCDuUk5PDZ599RkBAALNnz1aVXXnllezYsQOAzMxM+vTpY4MWiu4gr7SSJ7ak8n1GMQD9gjx5/rpBjIzys3HLhBBCCGFrkqTWI0mqaCtZWVnKRAG9e/e2dXMUeXl59OzZE4DLLruMXbt2qcq3bNlCYWEh06dPJyIiwhZNFP9jrzHUWmaLlXd3ZbPiqwwqDWacHR148Mq+3HdFH1lWpo111RgSHUdiSLSWxJBoKbknVYh2UF5erqwLZqvn/+qrrwgMDGTChAnK4xEREcTFxZGens7u3bspLi4mMDBQKZ85c6YtmisaYesYag/pBeUs2nyAA3llAFwS5cdz1w2ib5BcPt4eumIMiY4lMSRaS2JI2CNJUoWwgcOHDzN48GCMRiMzZsxQJakADz30EMXFxSQkJBAQEGCjVorupNpoZtU3R3l753HMFiterloWTxvATSN7yrIyQgghhOhQcrmv6LZMJhNWqxWNRtNua4OZTCZ27dqFn58f8fHxyuMWi4XQ0FCKiopwd3dHp9Ph6ipLeHQ2HRFDHeGnoyUs2XKQE7pKAKYNCmFp4kCCvCUm21tXiSFhOxJDorUkhkRLyeW+QrSD9u6Ik5OTmThxIqWlpdx999289dZbSpmDgwN33XUX5eXlJCQkyLqlnVRn/zEv1Rt45rNDfLyvdlmZUB9Xls2IZ1JcsI1b1n109hgSticxJFpLYkjYIxlJFaKVrFYrR44cwcPDQzWRUWVlJf7+/lRXVxMaGkpeXp7EqbALVquVT/cXsCwpndN6AxoN3H5ZFI9c0x9PFzlYEUIIIcTFyUiqEHbq119/Ze7cuRw7dowlS5bwzDPPKGXu7u5cd911mEwmEhISMJvNkqQKm8s9XcmSLan8eKR2WZn+wV48f/0ghvfytXHLhBBCCCFqyUiq6LbOnDmDxWLBwcGBHj16XHT7kpIStFqtattTp04RGhoKwODBg0lJSWm39gr709wYsiWT2cK6n7NZ+fURqoxmnLUOzJ/Yj3su74OTo/SfttKZYkjYJ4kh0VoSQ6KlZCRViHZw4sQJZcr1C3XKv/zyC4888gi//PILr7zyCvPnz1fKQkJCGDNmDM7OziQmJiqdvOj66i7ztlqtuLq62vUPe2p+GYs2HyA1vxyAy/r489x1g+gd4GHjlomm9kNCnI/EkGgtiSFhjyRJFaKe6upqNBoNLi4uymNeXl7s2rULgKSkJFWSCvDjjz/KxEfdSGFhIatXr+bdd9/l5MmTODo6cumll/L4448zdepUWzdPpdJgYtU3R3nnpyzMFis+bk4smTaA2SMj0GhkWRkhhBBC2CdJUkW3FRYWhtlsxtHRkd27d/Piiy/y9ddf8/bbb3PzzTcr2w0cOJCoqCg8PDwYPXp0g3okQe0+Dh48yKRJkygsLFQeM5vN7Nq1i2nTpvH3v/+dl19+2S4SwB+OFLPkk4PklVYBkDgkjCcT4gj0crnInqIj1e+HhGgJiSHRWhJDwh41+7rEs2fPsnDhQiZPnkxgYCAajYalS5c2uq3RaGTlypUMGjQINzc3evTowZgxY5RRKYC9e/fy4IMPMmjQILy8vAgODubqq6/mu+++a/GLEuJCrFYrFouFwMBAQkJCCAwMpLKyki1btqDX60lKSlJtr9FoSE5OJjU1leXLl9uo1cLWKisrmT59upKgarVaLrvsMtWMzitXruSdd96xVRMB0FXU8PBHydz+rz3klVYR3sONdXeM4tWbh0mCaofq90NCtITEkGgtiSFhj5qdpOp0Ot566y1qamqYOXPmebczm83MmjWLZcuWcfPNN7N9+3bWr1/PlClT0Ov1ynYffvghe/bsYd68eXz66aesXbsWFxcXJk6cyL///e+WvSohGrF3717uvfdeIiIi+P7771Vl48ePx9vbm6CgIIKDG64RKfdoiA8++IDc3FwARowYQVZWFrt27SI7O5tXX31V2e7FF1/EYrF0ePusViub9uYxceUPbNlfgIMG5o3tzVd/u5wrY4M6vD1CCCGEEC3V7Nl96zbXaDSUlJQQGBjIU0891WA0ddWqVSxYsICff/650Usk6xQVFREUpD6AMpvNDB8+HL1ez7Fjx1RlMruvaK4ak5nTegMfbk5iybLncXT34cqpiVx5TQJxoV5cGRuEi9aRzMxMevfuLbEkGjV58mS+/vprAPbs2cOoUaNU5VdddZVy8uP3339nxIgRHda2Ezo9iz85yM/HdAAMCPXmhesGMaSnnFwRQgghRPuwq9l9m3qv1erVq7n88ssvmKACDRJUqL3Hb8SIEaxfv765zRPdQKXBhK7CwGl97T+d3sBpfQ06vYHjeUWkH8/lVOlZAiN6U2HUUFFj+t+e7gTfVHu57kHg4LdHAfB21TJ9cCgzh4bTG9vfSyjsU3Fx7bqiDg4ODRJUgDFjxihJaklJSYe0yWi2sHZnFqu+OUKNyYKL1oGHr47hrvG9ZVkZIYQQQnRa7TJxUm5uLtnZ2SQmJrJ48WLeeecddDod/fv3Z+HChdx+++0X3N9kMrFz504GDhzYpOdLS0sjMjISb29v5bGamhoOHz4MgK+vL7169VLtc/ToUSorKwEYMmSIqqykpIT8/HwAevXqha/vH4vcm81mUlNTgdozBX369FHtm5WVRXl57TIPAwcORKv94y0+c+YMJ06cAGpvUj/32v8DBw5gtVpxc3MjJiZGVZabm8vp06cB6N+/P66urkpZRUUFmZmZQG3SX7duZ5309HRlavG4uDhV2cmTJykqKgIgOjoaT09Ppay6upqMjAwA/Pz86Nmzp2rfI0eOUFVVhUajYfDgwaqy4uJiCgoKAIiMjFRdLmsymUhLSwNq38OAsJ6crqhLNg1kZOdTWKanvNqCxs2b0krjHwlpRQ3VpotdSukLPXw5VWFWHtE6aPB2dURrribQy5XIEH8MlRUkn6xCV2Xiwz25fLgnlyAPR6bGBXLb+Bj6Bnkp+6elpWEymXBxcSE2Nlb1bAUFBUoC07dvXzw8/ljWo7KykqNHa5Nhf39/1f2LABkZGVRXV+Po6Eh8fLyqrKioiJMnTwIQFRWFj4+PUmYwGDh06BAAPj4+REVFqfbNzMykoqICgEGDBqnOaOl0OvLy8gCIiIjA399fKbNYLBw8eBAAT09PoqOjVfVmZ2dTVlYGwIABA3B2dlbKysrKyM7OBiA0NLTBCajU1FTMZjOurq70799fVZaXl4dOVzsK2K9fP9zd3ZWy+ldUBAYGEhYWptr38OHD1NTUoNVqG/QZp06dUu4h7d27d6v6iICAAOU9+vbbbwkICMBoNALg7OzM7t27lX11Oh0pKSnt2kdUuQWxaPNBDp2srWtEhCd3D/Uk1KsCs9GAk2PX6CO8vb3p3bu3at/jx48rZ27j4+NVk32UlpaSk5MDQHh4uPK51alby9jd3Z1+/fqpynJycigtLQUgNjZWNct3eXk5WVlZAAQHBxMSEqLat6V9xP79+zGZak+khYSESB/RifuI+jryOOLAgQPK9xfodscRXb2P6IjjCLPZjNVqxcnJSfkcpI+o1RX6iPraK9doD+2SpNa96e+99x4RERGsWbMGHx8f3n77be644w4MBgN33333efdfunQpx44dY8uWLU16PpPJxLlXLVutVuUAsu4A4Nx96srPZbFYlLLG7i1rar3ntql+vWazucG+RqNR6STOZTabW1Xv+V5r/XrPfa3138PG6q17rfVH1y0WK2eqjBwrruBogZ7yGgu/lhRQTbEy6qk7W02+rpzyGgtnDRZMlkONtq1WRaOPOljNaAx6oiOCCe7hgb+HM34eLhTmHOPfb7+GubKMaVeN56XlT+Lv4YK3m5asrCzlyxcfH09GRgY1Bg8ySi3sLXHkq/QiivRm3vvtFO/9dopB4T7MHBZO4pBQjEYjJpOp0csXLvTZXOw9rPtsGiu7UL11+16s3sY0Nb4b279+m851sddqMBiwWCyNzh7YFu9hY+9RU+ttSh8xe/ZsvvnmGwAeffRRnnvuOQICArBYLGzcuJFvv/0WgD59+tC3b18lZi5Ub0u+y5VGM+v2l7P18FEsVujh7sQT0+MY7mdEp9M1+l7YUx/R3Hrtpf9uShy2pI84d7vG6pU+onP0EfV15HGE1WpV/tUdD3Xm44jm1msvn0179REdcRyh0WiUGDq33sZIH9GwXnuJQ1vlGu2hXZLUuje7urqazz//nMjISAAmTZrEyJEjWbZs2XmT1LVr1/Lss8+yYMECZsyY0aTn02q1DTo4jUajfAD1zzDU36exDwhqL+erK2usM2lqvee2qX69jX3BnJycsFqtjdbr6OjYqnrr//d89Z77WjUaDQ6OWsprLFScMVBwrEQZ7dTpDRzPP81pvYHyGgs1P/zAab2B0koDlgbf8bIGz3suD2dH/DxrE003jQl3Rws+Lg7ERIUT4OmC///KtKYqVj6/jHVvvwHAY2+/zV133qXUk5JiJFJ/FWPHjmXs2LGq5zj3s3Fzc8PJyYlLfbTMGB3CLf21/FZQxS8nzezOLudgfhkH88t49rN0hoa6MqGXGxOi3TnXhT6b+nF4vs/mfNO+X6jeun0vVG9r4/ti8XKui71WZ2dnzGbzRettyXtosVia/b1pbh9x6623smzZMvLz80lOTubaa68lPj6ewsJC5Ww/wIIFC5Sz623dR6QUmXj9t1KKK2t/IGYODeOJhDj8PV3Izc21SR9xoXrrXmtj8dvUeu2l/25KHNbfpr4LxaGLi4vygy99ROfuI+rryOOIut8yrVZLdXW13R1HSB/xR70t6SM64jii7u/6r1n6iObVay9xaKtcoz00e+Kk+s43cVJGRgaxsbEMHjxYuWyizuLFi3n++ecpLCxsMIy/bt067rrrLu666y7eeOONRr9QMnFS69RNItTYPZ2NPV5W1fgZoIvxdtXi7+mCn4czfh7O/xvp/N/f/0s46z/m6qQO+NLSUr788ks+//xzXn/9ddWlL7/++qtyr/O8efPaZcmP03oDnx0oYHNyPsk5Z5TH3Z0duWZgCDOHhTM22h+t3PfXrezfv5/Jkycrl2Wd66GHHmL16tVtvk5q8dkaliWlsy2lNhmO8HXj2VmDmBAjywUIIYQQwjbsauKkpoiOjlZdC15fXU58buPrEtTbb7/9vAmqaLrvM4rYfvAkunr3ep7WG+pNItR0Gg34ujs3SDiVJNPTRfWYr4dzqydteeyxx3jzzTcBuOGGG7j22muVslGjRvGPf/yDa665psH9F23Fz8OZ2y6L4rbLosgu0bNlfz6fJOdzQlfJJ8m1fwd6uXDtkDBmDQtnYJi3xGw3MHToUPbv38+qVatYt24dJSUlODg4cMUVVzB//nwSExPbNA6sVisbf8/j2c8PUVZlxEEDd43vw8NX98PduV26byGEEEIIm2uXkVSAW265hU2bNnHkyBFlwgar1crw4cM5e/asammZd999lzvvvJO5c+eybt26C2bfMpJ6YZUGE8uTDvHhnpzzbqN10FxwVLMu0ax7rIe7M44ObZ+AGY1GfvrpJ77++muWL1+uunwgKSmJxMREAO6//35ee+21Nn/+5rJarSTnnmFLcj7bUgoorfxjlLlfkCczh4UzY2gYEb6Nn6ARXYvVaqWiogJXV9fzXs7TGlklenO0/VQAACAASURBVB7bfIDdx/93H3W4Ny9cN5j4cJ+L7CmEEEII0f7aMy9rUZK6fft29Ho9Z8+eZd68ecyePZsbb7wRgGnTpuHu7k5mZiYjR44kODiYpUuX4u3tzdq1a9myZQsbNmzghhtuAGDjxo3MmTOHoUOH8uqrrzZ4UcOGDVPNniZJ6vkdzCtj/kfJHC/Ro9HALZf0YlC4jyoZ9fNwxtu14T28tnDLLbfw4YcfAvDLL7+oliuqrKzk8ccfZ/r06YwfP141+5s9MJgs/HikmE/25/N1eiGGejMOX9rbj1nDwpk6KBQft7ZPXkTXZjBZeHvncVZ/exSDyYKbkyN/nxTDn8dGyeXlQgghhLAbdpekRkVFKdMbnysrK0sZOU1NTWXRokX8+OOPGI1Ghg4dypIlS0hISFC2v+OOO3jvvffO+1z16wNJUhtjtlh588dMVn51BJPFSoi3KytvHMKYvgEX37mdWa1W0tPT2blzJ/fdd5+q7F//+hd33nknUHuv8rPPPtuhbcvNzVUmGzh3WvzmKK828sXBU3ySnM/uLB113yhnrQMTY4OYNSycK/oH4aztvjHaVbVVDNVJzill0ccHySis7eMujwnk2Znx9PST0fmuqq1jSHQ/EkOitSSGREvZXZJqS5KkqhWcqeJv/93Pr1m1lwROjQ/h+esG0cPdPkYeZ8+ezaZNmwA4duyYar2swsJC/va3v5GYmMiUKVNUa0R1hJSUFGXdt3PXr2qpgjNVfLq/gE+S8zhS+MfyOT3cnZg+KJTrhoczvJevXYxki9ZrqxiqqDHx8pcZvPdLNlZr7T3RTybEMWNomMRKF9ce/ZDoXiSGRGtJDImW6nQTJ4mOsS2lgCWfHKS82oS7syNLrx3I7BERNjmoLSws5LffflONkgOMGDFCSVKTkpKYP3++UhYcHMwHH3zQoe1sb2E93Lj/imjum9CHQyfP8klyHp/uL6DobA3rf81h/a859PJzZ+bQMGYOC6dPoOfFKxVd2tfphTz5aSony6oBuH54BI9PH4Cvh32caBJCCCGE6GgyktoJna028tTWNDbvywdgSM8erL5pKFEBHhfZs33cfPPNfPTRRzg6OlJcXKwaEU1PT2f+/PkkJCQwa9YsevXqZZM2NqZuPTmNRoOrq2u7PY/ZYuWXTB2fJOfzRepJ9IY/FkEe0rMHs4aGkTAkjABPlwvUIuxRa2KoqLyapdvS+PzgKQB6+bnz3KxBjOtn+8v0RcfpqH5IdF0SQ6K1JIZES8nlvvV09yR174lS/vbf/eScrsRBA3+5si8PTezX6iVfmqKqqor09HRGjBihenzBggWsXLkSgA8++ICbb7653dvSWVUaTHydXsiW5Hx+PFqC2VL79XN00DAhJpCZw8KZNCAYN+eOWShZdDyLxcpHv+Xy/PZDnK024eig4e7xfZg/sZ987kIIIYToNCRJrae7Jqkms4U13x/j1e+OYbZYCe/hxqo5QxkV5dchz3/HHXewYcMGtFotJSUlqtl2d+zYoawROXfuXGJjYzukTZ1d8dkakg4UsCU5n5S8MuVxTxctU+JDmDUsnNF9/Ntl+R9hG8eKKli8+SB7smvvIR8S4cPz1w0mLszbxi0TQgghhGgeSVLr6Y5Jao6ukof/m8y+nDMAzBwaxrKZ8Xi7tv3yJhaLhfz8/Aazu9122228//77AHzzzTdMnDixzZ+7OztWVMGn+/P5JDmfvNIq5fEQb1dm/O/+1QGhksh0VgaThdd3ZPJ/3x/DYLbg7uzIgsn9uWNMlJyEEEIIIUSnJElqPd0pSbVarWzel89TW9OoqDHh5aLlmVnxzBga3i7P9eCDD7J582ZcXFzIzs5WTcC0YcMG5d7Shx56iMGDB7d5GzpaRUUFFosFBwcHPD3tYwIjq9XK7ydK+SQ5n88OnKSsyqiUxYZ4MWtYONcODSPUx82GrRR1mhJDv2ef5rHNBzlaVDvb85X9A1k+M54IX1lWRthnPyQ6F4kh0VoSQ6KlJEmtp7skqWWVRpZsOUjSgZMAjIryZeWNQ9tsvUS9Xo+Hh3qipSlTpvDll18CcODAAQYNGqSUmUwmHBwcutT7bO9TrteYzOzIKOaTffl8d7gIg9kCgEYDl/XxZ+awcKbGh+DVDiPqomkuFEPl1UZe+uIw7+/OASDA05mnEgeSMDhUlpURCnvvh4T9kxiyL9XV1RQXF9u6Gc1y9uxZZeIkLy8vWzdH2JnAwMDzTqglS9B0M7uP6/j7f/dTUFaNo4OGv13dj/uv6NvqywItFgtLlixh27ZtuLm58dtvv6nKExIS+PHHH5k0aRImk0lVptVKqHQ0F60j1wwM4ZqBIZRVGvk89SSf7MtnT/ZpdmXq2JWp44ktqUyKC2bWsHAujwnskAm0xMV9kXqKp7amUlheA8CNIyNYPG2A3axfLIQQou1VV1dTVFREeHg4jo6dZyK8yspKJUl1d5erfMQfzGYz+fn5BAUFdfjMzzKSakcMJgurvjnC6z9kYrVCpL87q+cMY2jPHi2qr+7SjfqGDx9OcnIyAPn5+YSFhSller0eBwcH3Ny6x6WkJ0+exGw24+joSGhoqK2b02S5pyvZmlLA5n15ZBbrlcf9PJxJHBzKzGHhDO3ZQ0brOsC5MXSqrJqntqbyZVohAL0DPHh2VjxjomVZGdG4ztoPCfshMWQ/cnNzCQsL61QJKoDBYFD+rj8xphBQm6gWFBQ0mK8GZCS1W8gsruDhj/ZzML92ltebRvbkycQ4PFya9xEZDAbWrFlDUlISXl5efPrpp6ryhIQE9u/fz6WXXkpRUZEqST338t+urrP+mPf0c+fBK/vywBXRpOaX80lyPltTCiipqOG9X07w3i8n6B3gwcyh4cwcFkakf/f6XDtSXQxZLFb+s/sEL20/zNkaE1oHDfdNiOYvV/XF1alzHayIjtVZ+yFhPySG7EtnS1BBElNxYbaKaRlJtTGrtXbNxGXb0qkymvFxc+KF6wYxdVDLfnSsVis9e/YkPz8fFxcXdDqdKvksKioCICgoqE3aL+yDyWzh50wdn+zL48u0QqqMZqVseK8ezBoWTsLgMHw95IeorR0tPMuizQfZe6IUgKE9e/DC9YOIDZHZmIUQojvJzc1tdLRJiM7ufLEtI6ld1Gm9gUUfH+Cr9NpLA8dE+7PixiEXnbm1pqaGTZs2kZSURFBQEKtXr1bKNBoNCQkJvPnmm4SHh5OVlUV8fLxSLslp16R1dGBCTCATYgLR15j4Kv0Um/fl8/OxEvblnGFfzhme3pbOFf2DmDUsnIkDgmSErwksFisVBhMV1SYqakycrTZyVvnbRGZRBe/9ko3RbMXD2ZGFU2KZOzpSlpUR/7+9+45r6ur/AP4JSdhLAQcgoKCCImhb1OLAukUozsdRW8H6s2qHVh8RJ4hYR2urj9aqdaBWqVYf+yiO1oUVq9atiANUFEHZGwIZ9/dHmttcEmbAJPh9v155Kffce3LuzclJvrlnEEIIIUQDdCdVSy4kZWHugdvILCqHkM9D6BB3fNy7LQxq8eW2vLwcNjY2KCkpgZ2dHV6+fMm5FZ+cnAyxWAx3d3cal/iGyywU4cjtdBy+mYZ76YXsdgsjAfy7yMev9mjbvFb1Tp8wDIPSCiknsFQEl8UiCQpFYvb/bND5977FSkFocbmk5icDMNCjJSKDOsPe+s0Yz00IIUQV3UklTZU27qRSkPqaicRSfP3bQ2yPfwoAcGthjnXjusLTwYqzn1gsRlxcHGJjY+Hk5IS5c+dy0keNGoXDhw/D2toaV69ehZub22s7h6YiMTGRnba/U6dO2i5Oo3uUUYRfb6bhf7fSkZZfxm63tzJGUDcHjOzmgA4ttTv1PMMwEIllKCoXcwNI0d8BZLn6bdx95dtkDdiyCQx4sDAWwMJYCHMjAcyNBbA0FkBaXoIe9sbo09YCnTt3brgnJG+MN60dIg2P6pDu0NcgtaysjJ3dt6bJM//zn/9g1qxZ6Ny5MxISEur9nF999RU6deqEESNG1DuP2oqIiMCyZcug7ZAnODgYcXFxSElJqfOxinPIysqCrW31kzE2xrWl7r5N3KOMInwRcxMPXslfzA97OmOhvwdMDFW7XRYWFmLo0KGQyWTw8PBQCVLDwsIwa9Ys+Pr6QiikdTLrQywWQywWa7sYr02HlhYIHeqOfw/uiL9ScvHrzTQcu/sS6QUi/BD3GD/EPUan1pYY9ZYD3ve2RwvLuk01Xi6RygPFv4PFQjV3JVWCTZHSHcy/g01JA0aXBjywgaU8yBT8/X8hzI0FsDD6Z5u5sVC+j1K64jgjgYHaXgmK9QkrL9lESG29ae0QaXhUh4imGIapdQC3Y8cOAMC9e/dw5coV9OjRo17P+dVXX2HMmDGvJUjVFUuWLMGsWbMa/XmayrWlIPU1YBgGu/5MwcoTD1AukcHGzBBrxnihv3sL3LlzB7GxsXB1dcX48ePZY2xsbODr64v4+HgkJSXh5cuXnBn8unfvro1TaVIUwf2bFuQbGPDQs50NerazQcT7nXH2QSYO30xD3MNMJL4sROKxQnx1/D56udnCr4MdKqQyTrApDzi5YzOLRRJUSGUNVkYeDzA3/DuAVHMH09xIAHMj4T/plQJLy7+3mwj5jdrl/U2tQ6ThUB0imqI6RDSl+Jys6fPy2rVruH37NoYPH45jx45h+/bt9Q5S30Surq7aLoJeoe6+jSyrqBzzDt5G3MMsAEC/jnb4eow37CyMkJycjPbt2wMA/Pz8EBcXxzn22LFjKC0txeDBg2FlZVU5a0IaVF5JBWLvvsSvN9PYmWrrw8yQzwksVe5gcrb9fUfz70BTcZypkN/kxskSQghp2vS1u29tzZgxA5s3b8bdu3fxySef4O7du3j16hVMTU05+5WXl2P16tWIiYnB06dPYWZmBi8vL6xYsQK+vr5qg2HF9+CquuZGR0cjJCQET58+hYuLCwBg//792L59O+7evYv8/Hy4uLggKCgIS5Ys4axsUZvuvseOHUNAQAD++usv+Pj4AAAOHTqEMWPGwN/fH8eOHWP39fLyQvv27XHo0CEA8ptRP/zwA7Zu3YqHDx/C2NgYAwYMwJo1a9CuXTv2OHXdffPz8zF37lwcPnwYFRUV8PPzw4YNG+Dq6orw8HBERERwziEhIQFRUVE4fvw4jI2NMXz4cHz33XdsnFDdtdUEdfdtYs7cz0DowTvIKakAn8dgfEdDRE32YSuQm5sbOnTogEePHiE+Ph4FBQWcYHT48OHaKjp5AzUzM8SHPZ3xYU9nPMspwa830/HgVSHMjATVBpbKdzDNjQQ0sy0hhBDSxJSVlSEmJgY+Pj7w9PTElClTMHXqVPzyyy+YPHkyu59EIsGwYcNw4cIFzJ49G/3794dEIsHly5fx/Plz+Pr64tKlS+jfvz/ee+89LFmyBABgaVn3ZduSkpLg7++P2bNnw8zMDA8ePMDq1avx119/4ezZs3XKy8/PD0KhEKdPn2aD1NOnT8PExATnz59nx31nZmYiISEBM2bMYI/95JNPEB0djS+++AKrV69Gbm4uIiMj4evri9u3b6Nly5Zqn1MmkyEwMBDXrl1DREQE3nrrLVy6dAlDhw6tspyjR4/GuHHj8PHHH+Pu3btYsGABgH+6YTfUtdUJjJ6RSqVMfn4+5yGVSrVdLI7Scgmz+PBdxnl+LOM8P5ZpHbKBEdo6M2PGjFHZd9u2bczGjRuZlJQULZSUEEIIIYQ0hOfPn6vdvnbtWsbBwYFxcHBgzp07x0l78uQJm/bZZ5+pHBsYGMimV7Zz50427dChQ5y0wsJCNm3ixIn1P6m/7d69mwHAbN68mWEYhikqKmLMzc2ZPn36qN3vxx9/rDY/MzMzZvLkySrbw8PDGXXhyc6dOxkAzNOnT9XmJ5PJGLFYzJw/f54BwNy+fbvGPCvr3bs3079/f/ZvNzc3Zt68eYyBgQFz/vx5hmEYZu/evQwA5tGjRwzDMMylS5cYAMzatWs5eaWmpjImJiZMaGgou23y5MmMs7Mz+/exY8cYAMwPP/zAOXblypUMACY8PFzlHNasWcPZd+bMmYyxsTEjk8nYbVVdW01UVbcbMy7TzT6yeqikpAS//vorDsddReDGeOy5/AwAMKWXM8pjoyDOfobffvsNFRUVnOM+/vhjfPrpp3B2dtZGsQkhhBBCSCMqLCxEWloa0tLSUF5ezkmTSqVsWl6e6lCbrKwsNr2ykpISNq20tJSTxjAMm5adna3xOWzfvh0mJibs/Cnm5uYYO3YsLly4gKSkJHa/EydOwNjYGFOmTNH4OWvy5MkTTJw4Ea1atQKfz4dQKISfnx8A4P79+3XOb8CAAbh48SLKysrw7NkzJCcnY/z48ejatStOnToFQH531cnJiR2uFxsbCx6Ph0mTJkEikbCPVq1awdvbu9putufPnwcA/Otf/+JsnzBhQpXHvP/++5y/vby8IBKJkJmZWefz1XXU3bcBXLx4EQMGDISR9zA07xcChmeAFhZG+GasN/p2sINs5nQwDIPAwEAIBHTJtU0qleKPP/7AjRs3YGRkhD59+sDb21vbxSJ66OXLl5BKpeDz+ZyJzQipLapDRFNUh3SfpaUlHBwcAABGRkacND6fz6Y1a9ZM5Vg7Ozs2vTIzMzM2rfK4UB6Px6bVtGSJ8g0UQ0NDlfTk5GT88ccfGD16NBiGQX5+PgBgzJgx2LlzJ3bs2IGVK1cCkAfV9vb2jT5XTHFxMfr06QNjY2NERUWhQ4cOMDU1RWpqKkaNGoWysrKaM6lk4MCBWLZsGeLj4/Hs2TPY2tqiW7duGDhwIE6fPo3ly5fjzJkzGDhwIHtMRkYGGIapskuv8pjUynJyciAQCNC8eXPO9qryAuQTqypT1Kf6nK+uo4ipDqRSKa5cuQJHR0c4OTmx21u1dUezUUtg5OQNBsCgTi2xerQXmpvJ3+iKQc9E+/bt24fFixfj6dOn7DaBQIBx48Zh/fr1Km9+QqqTmZnJjlOhL4ekPqgOEU1RHdJ9c+bMwZw5c9SmtW3bFi9evKjy2CNHjlSZFhwcjODgYLVpFhYW1earTCKRsOukqgtSd+zYAYZhcPDgQRw8eFAlfdeuXYiKigKfz4ednR3i4+Mhk8nqFagaG8uXvysvL+cE9JXvBp89exbp6emIi4tj754CYAPo+ujRowfMzc1x+vRppKSkYMCAAeDxeBgwYADWrl2Lq1ev4vnz55wg1dbWFjweDxcuXFD5AQJQ/VFCmY2NDSQSCXJzczmB6qtXr+p9Dk0JdfetpXPnzqFVq1bo1asXdu7cyW4/cfclRv14HUZO3uAzEkx0AzZ/0I0NUInu+M9//oMPPviAE6AC8sZ579696Nu3L3Jzc7VUOkIIIYQQ3SKVSrFr1y64urri3LlzKo+5c+fi5cuXOHHiBABg2LBhEIlEiI6OrjZfIyMjtXf/FDP33rlzh7P96NGjnL8Vk5BWDgK3bNlSl9PjEAqF6Nu3L06dOoWzZ89i0KBBAIA+ffpAIBBg8eLFbNCqEBAQwHatfuedd1QeXbp0qfL5FMH1/v37Odt//vnnep8DUPW11Td0J1WN5ORkNG/enPOrRocOHdhfcWJjY/HvsEVYdvQeDlyT/0rVxcEK68Z3hauduVbKTKr39OlTzq+YAwcOxLBhw/Ds2TPs3r0b+fn5SExMxJIlS/D9999rsaREn7i6utb712JCAKpDRHNUh4imqrvbd+LECaSnp2P16tXo16+fSrqnpyc2btyI7du3IyAgABMmTMDOnTsxffp0PHz4EO+99x5kMhmuXLkCDw8Pdkxrly5dEBcXh6NHj6J169awsLBAx44d4e/vj+bNm+Pjjz9GZGQkBAIBoqOjkZqaynleX19fNGvWDNOnT0d4eDiEQiH27t2L27dva3QtBgwYgLlz5wIAe8fUxMQEvr6++P333+Hl5YUWLVqw+/fq1QvTpk1DSEgIrl27hr59+8LMzAwvX75EfHw8unTpwpkJWNnQoUPRq1cvzJ07F4WFhXj77bdx6dIl7N69GwDq/Z6u6trqG2rRlJw+fRoeHh5o3769yq8aDg4O6Nu3L0aNGoWgKbMw/D8XcODaC/B4wMx+rjg0w5cCVB22efNmSKVSAMCsWbNw6tQpzJkzB+vXr8e1a9fYsRy7du1CYWGhNotK9Ii5uTksLS1hbk7vfVI/VIeIpqgOEU3x+Xz2Udn27dthaGiIkJAQtcfa2tpi5MiRiI2NRUZGBgQCAY4fP44FCxbg8OHDCAoKwkcffYT4+HjOJKHr169H+/btMX78ePj4+OCTTz4BIB+/e/LkSVhYWGDSpEmYPn06PD09sWjRIs7z2tjY4NixYzA1NcWkSZMwZcoUmJubq3x/rytFYNq+fXtOeRXblbv6KmzZsgUbN27EH3/8gfHjx2P48OFYunQpSkpK0L179yqfy8DAAEePHsX48eOxatUqBAUF4cKFC/jpp58AANbW1vU6h6qurb7hMUw1K9vqoIZaNDYvLw8mJiZs33cAuHXrFrp16wYAKgv3AoBEKsPm84/x3ekkSGUM7K2M8e24rujZjsYx6rp3330Xly9fBiAf5K78KxgATJkyhe3GXXl8AyGEEEJITVJTU9GmTRttF4PouX379uGDDz7AxYsX4evrq+3iAKi6bjdUXKbOG9fd98yZM4iMjMTFixexf/9+jB49mk3z9vaGs7Mz2rRpg8GDB3OOe5FXii/338LVFPn04AFerbFiRBdYmQpfa/lJ/ShmruPxeGp/mVLu2l15enhCCCGEEEIaWkxMDNLS0tClSxcYGBjg8uXL+Prrr9G3b1+dCVC1pc5hblFREUJDQzF48GDY2dmBx+NVOXutWCzGt99+iy5dusDExATW1tbw9fXFn3/+qbLfsmXL4OLiAiMjI7i7u2PDhg31OiFlFRUVbBdPBcXyI1KpVO0g7IcPH+LChQuYNWsWu/1/t9IwbN0FXE3Jg7mRAN/+yxsbJnSjAFWPeHh4AJCvGxYTEwMAEIlEKCsrQ0FBAWe2On3st0+0Q1GHRCKRtotC9BTVIaIpqkNEUzKZjH2Q18vCwgI///wzxo0bB39/f/z4448IDg5WiVHeRHW+k5qTk4OtW7fC29sbI0aMwLZt29TuJ5VKMXLkSMTHxyM0NBS+vr4oKSnB9evXUVJSwtl35syZ2LNnD5YvXw4fHx/89ttvmDVrFoqKirBw4cI6n9T58+exceNG/Pbbb4iNjUXfvn3ZND8/P5ibm8Pe3p5diFeZ8uDxQpEYS39NwK+30gEAbzlZY924bnCyMVU5jui2qVOnYu/evQCAzz//HEVFRejQoQNSU1Px448/4tmzZwCAIUOGcMYgvKkSExNx+vRplJWVwc3NDQEBAdVOrPCmevjwIbv0A621S+qD6hDRFNUhoimRSMQuQVN5vVXSuAICAhAQEKDtYuikOgepzs7OyMvLA4/HQ3Z2dpVB6oYNG3DixAlcvHgRPXv2ZLcPHz6cs9+9e/ewfft2rFixAvPmzQMA9OvXDzk5OYiKisL06dNVFrmtrPKw2tTUVPbOWOUg1cjICElJSWjVqlW1eV5NycXsn28hLb8MBjzgiwHt8dl7bhDwaa4pfeTn54egoCD873//Q1FRET7//HOVfUxMTLBixQotlE53pKSkYOrUqThz5gxnu62tLSIjI6ucoY4QQgghhJCGUueIi8fjsWsTVWf9+vXo27cvJ0BV59dffwXDMCqzhoWEhKCsrAwnT56s8bkeP37M+XvYsGEwMDCAjY2N2kWJqwtQxVIZ1v7+EOO2XEJafhnaNDfBL9PfxeyBHShA1WM8Hg/79u3D2LFj1abb2dkhNjYWb7/99msume548eIFevfurRKgAvJFtGfOnImVK1dqoWS6q3nz5rC1ta3xhzRCqkJ1iGiK6hDRlEAgYB+E6IpGqY2pqalISUlBYGAgFi5ciO3btyMnJwcdO3ZEaGgoJk+ezO6bkJAAOzs7lcDRy8uLTa/J7t27ERoaCktLSwDyaamvXLkCAwMD8Pl8PH/+HE5OTpxjkpKSUFpaCgBs95iU7BLM2n8Lt1PzAQDvuZgicoQn2rT6p+GXSqVsmSwsLNCuXTtOvk+fPmWXMOncuTPnDZ+fn892K7W3t4ednR3n2Dt37oBhGJiYmKBDhw6ctNTUVOTm5gKQj5lUnpW4uLiYDdRbtGiB1q1bc45NTExkuwJ16tSJk/by5UtkZmYCkK+1pjyFvUgkwsOHDwHIPwQrz+r16NEjlJWVgcfjsa+XQlZWFtLT5d2knZ2dOZMVSSQS3Lt3D4B8qvG2bdtyjn3y5Ak7U5inpydnSvS8vDw8f/4cgHxZIFtbW86xivWxTE1NVbpzZ2dnY9GiRRg9ejTi4+Px7NkzmJmZYdCgQfD390dGRgZu376Nli1bqtTHe/fuQSKRsGOmlaWnpyMrKwsA4ObmBjMzMzattLQUSUlJAOT10tHRkXPsw4cPIRKJwOfz4enpyUnLzMzEy5cvAcgXt7aysmLTKioqcP/+fQCAlZUVu/i1wuPHj1FcXAwA7GB8hZycHLx4IV/f19HRETY28tmp582bh7S0NADyH3KCg4Ph7e2NQ4cOsT0TFi9eDC8vLzg6OsLDw4PzI1BBQQFSUlIAAK1bt1aZQTkhIQFSqRTGxsYq435fvHiBnJwcAPJp35W7G5WUlCA5ORmA/McEe3t7zrEPHjxAeXk5BAIBOnfuzEl79eoVMjIyAABt27Zl2whAPkHWgwcPAADNmjWrVRuhkJ2dzV4rJycnNGvWjE2jNuIf+tZGPH/+HHl58snx3N3ducM/Cgvx9OlTAGjQNsLGxoZtI3g8nk63EYB87Nrdu3cByJc+cXV15eSbkpKCgoICAKA24jW1EcrvO2oj5LTVRhQVFaG0tBRCoRBCIXfekrKyMrZLrYmJCSetoqICSZcZXgAAIABJREFUEokEgLzHn3J5pVIpO6GjQCBQufkiEokgk8nU5isWiyEWiwEAhoaGnLokk8nYccx8Pl9lSI8iX0De00z5BpVEImEnpKycL8MwKCsrAyBfYkW5ngHy95VivhhjY2NO26Ocb3XXUF2+mlzD6l4b5WtYOd+6XMPK3aire22Ur6G6fJWvYXWvjbprqGizarqGlV8bqVTKvjfUtRGNoVGCVEXDvGvXLjg6OmLjxo2wsrJiBwNXVFTg//7v/wDIPwzV/fpnZmYGQ0ND9kOpOnl5eSpdfj09PZGQkACZTMZecGUSiYStHAzD4JfrLxBx5B5KK6QwN+Lj/7qao1cbY5gKVe+eKo6rTb7KZDIZm1Z5QidFvgzDqFQoxf6a5KtIry7fygPmGYapNl/Fuaq7s17bfGu6hpUpn6u6Af61ydfV1RVBQUGcN2dBQUGN11AikaidUru616ama6h4bdSlVZev8rnW9TVXdw0zMzPZQNTKygq7d+9GmzZt4O7ujvHjx2P+/PlYs2YNZDIZDhw4oLa7dE3nWlFRAZlMpnYdtoa4huquUW3z1UY9VFcmaiNU89WV16Y29bAptxHq8lV3vHKZKqM2glum2uRLbYR+tRHKj8qq2q6cXlNadflq8px1PVY5rapj65NvTccqXq/GuL6anmtd863NsdU9p3J65fdPY73m1b2XG0OjBKmKSiQSiXD8+HF2IppBgwbhnXfeQWRkJBukAqi2+3BtuhZPnz5dZT8ej8c20uq6LwgEAgiFQhSVy/Dpvhs4fvcVAKBH2+ZYMsgJ0qJsAFD7haM2+aoru4GBAZum7kNYKBSCYRi1+fL5fI3yVf63qnwrn6vyNVSXr+Jc1b1Gtc23pmtYmfK5NuRrU9O5Ks6zpmtYn3ylUqnatOryVRxbXb51uYbXr19nP5D9/f3RokULzvFffvkl1qxZA0B+t0Nd3jWdq6GhIaRSaaNcQ5lMVuf3jS7WQ2ojVPPVldfmTW8j1OVb07lWRm0Et0y1yZfaCP1qI5QflSm2VfW9tjbfhavKt7rn1DTfqo6r6dj65FvTsQYGBmqDsrrkW9fnrO25VpWvLpapNvmqS6vuvdwYeEx14XYNsrOzYWdnh/DwcM4yNA8fPoS7uzu8vLzYW8MKCxcuxMqVK5GRkYEWLVpgwoQJOHPmDNtVRKGkpATm5uZYsGABvvrqK3Z7Qy4a+2dyNuYcuI1XhSIIDHiYM7gDPunrCr5BzYExIU1JbGwsAgMDAQDz58/HqlWrOOkFBQVsVytfX19cvHjxtZeREEII0WWpqakqXZoJaQqqqtsNGZdV1igzAbm6ulY5hbUiJlYUvkuXLsjKysKrV684+ynGvFQeg9MQKiQyrDx+Hx9sv4JXhSK0szXDf2f6YmY/NwpQ3yCPHj1CYmIiHj16pO2iaJ3y+ywmJoYdC6GwY8cO9v+0xME/qA4RTVEdIpqiOkQ0RWvtEl3UKEGqQCBAUFAQ7t+/z06SAMgD1JMnT8LV1ZUdqB4UFAQej4ddu3Zx8oiOjoaJiQmGDh3aoGVLzizCyE0XseWPJ2AYYEJ3J8R+0RtejtY1H0yalLKyMpSWlqoEZG8iFxcXDBkyBIB8Yoj+/fvjyJEjuHHjBhYvXoz58+ez+yp31X/TUR0imqI6RDRFdYhoSiaTsQ9CdEW9xqSeOHECJSUl7O3dxMREdtIVf39/mJqaYvny5Thx4gSGDh2KiIgIWFpaYtu2bbh9+zYOHDjA5tW5c2d8/PHHCA8PB5/Ph4+PD37//Xds3boVUVFRDTalOsMw2HvlOaKOJUIklqGZqRCrRnthSOfq10slTVd14zjeRF9//TUuXryI4uJiXL58GUFBQSr7TJs2Dd26ddNC6XQT1SGiKapDRFNUh8jrEB0drbJcpMLcuXPxzTffwNHREUOHDsW2bdsAAMnJyWjfvj327NmDSZMmAQDi4+Nx+vRpzJkzhzObNiGV1StInTFjBjsFOgD88ssv+OWXXwDIp053cXGBq6srLly4gLCwMEybNg1isRhdu3bFkSNHEBAQwMlv06ZNcHBwwIYNG/Dq1Su4uLhg/fr1amcQrY/s4nKEHbqD0/fl4177tLfFN2O90dLSuIYjSVNWebr7N12XLl1w6tQpTJgwgdMDApAPkv/ss8/wzTffaKdwOorqENEU1SGiKapDRFNVDdFTZ+fOnSrLbCmWfTp69ChnKSx14uPjsWzZMkydOpWCVFKtegWplb/AVsXT0xOxsbE17icUChEREcGZfKmhxD3MxL9/uYPs4nIY8g0QOrQjpvRqCwMae0qIip49eyIpKQmxsbE4ffo0ysrK4Orqio8++khl/UZCCCGEvFk8PT3xzjvvqE3TZk+r0tLSOgXbRPc1yhI0ukAklmLViQeI/jMFANChpTnWjeuGTvb0qw0h1REIBBgxYgRGjBih7aIQQggheq+0QnXNVW0wNWzcr/2Vu/tWtnjxYqxYsQIAODPFXrhwAb179wYgn7xx/fr1uHPnDvh8Pnr16oXVq1dzJm2cNGkSYmNjcf78efz73//G5cuX4e3tjfj4+EY8O/K6Nckg9cGrQsyKuYWHGfIxs8G+Lggb5g5j4etZ14cQQgghhBAA6LT0N20XAQCQsmq4xnlIpVJ2XXUFdWvKqjN9+nTk5eVh06ZNOHLkCOzs7ADI56cBgMjISERERGDq1KlYsmQJysvLsWbNGvTu3RvXrl1Dx44d2bxEIhGCgoIwY8YMLFiwAFKpVONzI7qlSQWpMhmDnX+mYPWJB6iQymBrboivx3jjPfcW2i4a0UFZWVmQSqXg8/lsQ0lIXVAdIpqiOkQ0RXWIaEosFrP/FwqF1e7bs2dPtcfXJlB1dHRk76B269aNM4woJSUFkZGRmD17Nr799lt2+6BBg+Dm5obIyEjs3buX3V5eXo7ly5fjww8/rPF5iX5qMkFqZqEIc3+5jQtJ2QCAAe4tsHqMF2zNjbRcMqKr0tPTIRaLIRQK6YOd1AvVIaIpqkNEU1SHdF9i5BBtF6FaYrEYDMOAx+PVGKTu3r0bHh4enG21vZNanZMnT0IqleKjjz7i3Kk1MTFBnz59EBcXp3LMqFGjNH5eoruaRJAa9zATc3+5g7xSMYwEBlgc0AmTejjRdOyEEEIIIUSrGnss6Ovk4eFR5cRJmsjIyABQ9eRLhoaGnL8tLS1hZmbW4OUguqNJvGvmHriNvDIJOrW2xH8mdIVbCwttF4noAWdnZ8hkMhgYGGi7KERPUR0imqI6RDRFdYhoqnIAqA22trYAgF9//RUODg4q6ZVvPNGNqKavSQSpADCtbzvMHdwBRgKaHInUjrW1tbaLQPQc1SGiKapDRFNUh4imGqK7bm0ZGcmH4ZWVlXG2Dx06FHw+H48fP0ZQUNBrKw/RXU0iSP1h0tvo6Wqr7WIQQgghhBBCqtClSxcAwLp16zBp0iQIhUK4u7vD1dUV4eHhCAsLQ3JyMoYMGQJra2u8evUKf/31F6ysrLB06VItl568Tk0iSO3etrm2i0AIIYQQQgipxoABAxAaGoo9e/Zg8+bNkMlk7DqpS5YsgaenJ9avX4+9e/eivLwcrVu3ho+PDwICArRddPKa8RiGYbRdiLqQyWQoKiribLOwsKCxGKTOJBIJO5vd6+zqQpoOqkNEU1SHiKaoDumO1NRUdokVfcIwDFuHaKwnUaequt2YcRm1ZuSNde/ePXbafm9vb20Xh+ghqkNEU1SHiKaoDhFNlZWVsUGqqamptotDCACAbj8SQgghhBBCCNEZdCeVvLEsLS0hkUioexSpN6pDRFNUh4imqA4RTfH5fPZOKiG6glo08sZq27attotA9BzVIaIpqkNEU1SHiKYUy8IQokuouy8hhBBCCCGEEJ1BQSohhBBCCCGEEJ1BQSohhBBCCCGEEJ1BY1LJG+vJkyfsZBPt2rXTdnGIHqI6RDRFdYhoiuoQ0VR5eTk7cRKNTyW6goJU8sYqKipi15YjpD6oDhFNUR0imqI6RDQllUppdl+ic6i7LyGEEEIIIYQQnUF3Uskby9PTU9tFIHqO6hDRFNUhoimqQ0RTJiYmNe4THR2NkJAQAMC5c+fQr18/TjrDMGjfvj0eP34MPz8/xMXFNUJJSW2kp6dj69atGDFiBLp27art4tQb3Uklbyw+n88+CKkPqkNEU1SHiKaoDjVdKSkpWLhwIfz8/NCrVy9MmzYNV69ebfDn4fF47KMmFhYW2L59u8r28+fP4/Hjx7CwsGjw8pG6SU9Px7Jly3Dr1i1tF0UjFKQSQgghhBCiQ7777ju4ublh5cqV+OOPP/Dnn3/ixx9/RPfu3REcHAyxWKyVco0bNw6HDh1CYWEhZ/v27dvx7rvvwsnJSSvlaihlZWVgGEbbxSCgIJUQQgghhBCdER0djTlz5kAqlapN37VrFz7//PPXXCq5CRMmAABiYmLYbQUFBTh06BCmTJmisn9FRQWioqLg7u4OIyMj2NnZISQkBFlZWZz99u/fj8GDB6N169YwMTGBh4cHwsLCUFJSwtnvyZMnGD9+POzt7WFkZISWLVtiwIABnLuGPB4PERERKmVxcXFBcHAw+3d0dDR4PB5+//13TJkyBXZ2djA1NUV5eTkAICkpCRMnTkSLFi1gZGQEDw8PfP/995w84+LiwOPxsG/fPsyfPx+tW7eGubk5AgMDkZGRgaKiIkybNg22trawtbVFSEgIiouLOXkwDINNmzaha9euMDExQbNmzTBmzBg8efKEs1+/fv3g6emJq1evok+fPjA1NUW7du2watUqyGQytjw+Pj4AgJCQEPYOueJ61Ob66QoKUskbKy8vDzk5OcjLy9N2UYieojpENEV1iGiK6lDTIhaLsWjRIvbv2bNnIy0tDYWFhdi4cSO7RMzWrVvx+PHjBnlOiUTCPmpiaWmJMWPGYMeOHey2mJgYGBgYYNy4cZx9ZTIZgoKCsGrVKkycOBHHjh3DqlWrcOrUKfTr1w9lZWXsvklJSfD398f27dtx8uRJzJ49GwcOHEBgYCAnT39/f1y/fh1r1qzBqVOn8MMPP6Bbt27Iz8+v9/lPmTIFQqEQe/bswcGDByEUCpGYmAgfHx8kJCRg7dq1iI2NxfDhw/HFF19g2bJlKnksXLgQmZmZiI6Oxtq1axEXF4cJEyZg9OjRsLKyQkxMDEJDQ7Fnzx4sXLiQc+wnn3yC2bNnY+DAgfj111+xadMm3Lt3D76+vsjIyODs++rVK3zwwQeYNGkSjhw5gmHDhmHBggX46aefAABvvfUWdu7cCQBYvHgxLl26hEuXLmHq1KmNdv0aDaNnpFIpk5+fz3lIpVJtF4vooVu3bjFXr15lbt26pe2iED1FdYhoiuoQ0RTVId3x/PlzjfOIjY1lADAAmICAAJX0qKgoNn3x4sUaPx/DMExJSQlTXFzMlJSUVLnPzp07GQDM1atXmXPnzjEAmISEBIZhGMbHx4cJDg5mGIZhOnfuzPj5+TEMwzAxMTEMAObQoUOcvK5evcoAYDZt2qT2uWQyGSMWi5nz588zAJjbt28zDMMw2dnZDABm3bp11Z4PACY8PFxlu7OzMzN58mSVc/roo49U9h0yZAjj6OjIFBQUcLZ/9tlnjLGxMZObm8swDMNei8DAQM5+s2fPZgAwX3zxBWf7iBEjmObNm7N/X7p0iQHArF27lrNfamoqY2JiwoSGhrLb/Pz8GADMlStXOPt26tSJGTJkCPu34vru3LmTs19tr586VdXtxozLmsSd1BcvXmi7CIQQQgghhGhE+e7oqFGjVNKVtzXUndS68vPzg6urK3bs2IG7d+/i6tWrarv6xsbGwtraGoGBgZy7tV27dkWrVq04MwA/efIEEydORKtWrcDn8yEUCuHn5wcAuH//PgCgefPmcHV1xddff41vv/0WN2/eZLu5amL06NGcv0UiEc6cOYORI0fC1NSUU3Z/f3+IRCJcvnyZc0xAQADnbw8PDwDA8OHDVbbn5uayXX5jY2PB4/EwadIkzvO0atUK3t7eKrMkt2rVCt27d+ds8/LywrNnz2o8z8a6fo2lzkFqUVERQkNDMXjwYNjZ2VXZ7zs4OJgzW5ji4e7urrJvcnIyPvzwQzg5OcHExASurq6YM2cOcnJyalWmHj16YNeuXXU9FfKGc3BwgJOTExwcHLRdFKKnqA4RTVEdIpqiOtS0KC8Ho+4mjPK22iwdUxtCoRCGhoYQCoW12p/H4yEkJAQ//fQTNm/ejA4dOqBPnz4q+2VkZCA/P5/NW/nx6tUrZGdnAwCKi4vRp08fXLlyBVFRUYiLi8PVq1fx3//+FwDYbsE8Hg9nzpzBkCFDsGbNGrz11luws7PDF198gaKionqff+vWrTl/5+TkQCKRYMOGDSrl9vf3BwC27ArNmzfn/G1oaFjtdpFIxF4jhmHQsmVLlee6fPmyyvPY2NiolN/IyIjTdboqjXX9Gkud10nNycnB1q1b4e3tjREjRmDbtm1V7mtiYoKzZ8+qbFOWlZWFnj17wtLSEsuXL4eTkxNu3ryJ8PBwnDt3DtevX4eBQfWxtFgsRkhICFq3bo3BgwfX9ZTIG8rW1lbbRSB6juoQ0RTVIaIpqkNNS//+/dn/b9q0CVOnTmWDqPLyckRFRbHpAwcObJDnrG1wqiw4OBhLly7F5s2bsWLFCrX72NrawsbGBidPnlSbrliu5uzZs0hPT0dcXBx79xSA2nGSzs7O7BI4jx49woEDBxAREYGKigps3rwZgDxoU0x+pKyqm1+Vl95p1qwZ+Hw+PvzwQ3z66adqj2nbtq3a7XVla2sLHo+HCxcusOONlanbponaXD9dUecg1dnZGXl5eeDxeMjOzq42SDUwMEDPnj2rze9///sfcnJysH//fgwYMAAA8N5776G8vBwLFy7E7du30a1btxrLxTAMwsPDKUglhBBCCCF6ydXVFQEBAYiNjcWrV6/g4eGBSZMmwdLSEjExMUhJSQEA2Nvbq+0O/Lo4ODhg3rx5ePDgASZPnqx2n4CAAPz888+QSqXo0aNHlXkpgsTKAdmWLVuqLUOHDh2wePFiHDp0CDdu3GC3u7i44M6dO5x9z549qzKrblVMTU3x3nvv4ebNm/Dy8mLvfjaGgIAArFq1CmlpafjXv/7VIHkqrmNNd1erun66os5Bam0W+q0Lxa83VlZWnO3W1tYAAGNj4xrz8PDwQHx8PC5fvowHDx6o7VJMCCGEEEKIrtu8eTN69eqFZ8+eoaCgQGXZExMTE8TExDT4Xba6WrVqVbXp48ePx969e+Hv749Zs2ahe/fuEAqFePHiBc6dO4egoCCMHDkSvr6+aNasGaZPn47w8HAIhULs3bsXt2/f5uR3584dfPbZZxg7dizat28PQ0NDnD17Fnfu3EFYWBi734cffoglS5Zg6dKl8PPzQ2JiIjZu3KgSa1Rn/fr16N27N/r06YMZM2bAxcUFRUVFSE5OxtGjR1V6itZXr169MG3aNISEhODatWvo27cvzMzM8PLlS8THx6NLly6YMWNGnfJ0dXWFiYkJ9u7dCw8PD5ibm8Pe3h7Z2dm1un66os5Bal2UlZWhVatWyMrKQuvWrTFixAhERkZy+mePGDECTk5OmDt3LjZt2gRnZ2fcuHEDq1atQmBgIDvwuDrdunVDfHw8AODZs2dwd3dHeXk5Hjx4AEB+277y4sJJSUkoLS0FAHh7e3PSsrOzkZaWBgBwcnJCs2bN2DSpVIqEhAQA8m4K7dq14xz79OlTdoHjzp07QyD45xLn5+ezA5vt7e1hZ2fHOfbOnTtgGAYmJibo0KEDJy01NRW5ubkAgI4dO3KC9+LiYnbwfIsWLVT61icmJkIsFkMoFKJTp06ctJcvXyIzMxOAvFKbm5uzaSKRCA8fPgQg71Pfpk0bzrGPHj1CWVkZeDwevLy8OGlZWVlIT08HIL/7rvjRAZBPdX7v3j0A8qnMK3eZePLkCds33tPTE3w+n03Ly8vD8+fPAch/xavczUnRoJmamqJ9+/actOfPn7NT9CvW61IoLCzE06dPAQAtW7ZEq1atOMfeu3cPEokERkZGKj+CpKens+t9ubm5wczMjE0rLS1FUlISAPk4AkdHR86xDx8+hEgkAp/Ph6enJyctMzMTL1++BCD/VVC5ca2oqGAnErCysoKLiwvn2MePH7O/GHbp0oXTZT4nJ4cd0+Lo6MgZ3yCTyXD37l0AgLm5OVxdXTn5pqSkoKCgAID8xyHlXxcLCgrYX3hbt26NFi1acI5NSEiAVCqFsbExOnbsyEl78eIF2w2nffv2MDU1ZdNKSkqQnJwMALCzs4O9vT3n2AcPHqC8vBwCgQCdO3fmpL169Yqdvr1t27awtLRk06iN+Ae1EXLURshRGyFHbcQ/qI2Qq6mNKCoqQmlpKTumUFlZWRkYhgGPx1MZ+lZRUcEu/2JkZAQHBwdcvnwZoaGh2L9/PyoqKth9Bw4ciNWrV+Ott94CIL/GMplMbb5isRhisRiAfCykcl2SyWTsuEg+n68S8CryBVSH6kkkErZMlfNV5F1aWgoDAwMcOXIE69evx549e7By5UoIBAI4ODigd+/e7PvRxsYGx44dw5w5czBp0iSYmpri/fffx/79+9nzBORtmbOzM77//nu8ePECPB4P7dq1w9q1a/HJJ5+w78c5c+agsLAQ0dHR+Oabb+Dj44Ndu3Zh3LhxaicKEolEKC0t5VzDTp064caNG1i2bBkWLVqErKwsWFtbo3379uy4VOVrqLjOVeWt3GYp9leU9/vvv0fPnj2xZcsWbNq0CTKZDK1bt0bPnj3RtWtXlTzLy8vZNXTVvTYA8MMPP2DlypUYPHgwxGIxwsPDMXPmzCqv3+eff86ph8bGxpzPBalUyr431LURjaHRglRvb294e3uzH6rnz5/Hd999hzNnzuDq1atsI2ZlZYXLly9j9OjRnA/gsWPHYs+ePbV6LsUHAQA2X4Zh2Aqjbt0niURSZYWSyWRsmrrKXNt8GYapMl91CzSLxWIwDKN2bIBUKtUo36rOVTnfyueqfA3V5as4V3V312ubrzZfm9u3b7Mfui4uLjVeQ4lEonZ8dHWvTU3XUPHaqEurLl/lc63ra17ba6jueOUyVVbTuVZUVEAmk3G+LKjLt77XUN01qm2+mtTDx48fQygUcr6kUhshp+9tRFVlasg24tGjR2xZqI1omm1EY3+PUP4sk0gk1EZAe22E8qOyqrYrpytr1aoVdu/eja+//hqXLl2CRCJB586dVW7eNMRzKmaU5fF4bDBV+djg4GAEBwcDAOf9VDn/u3fvorS0lD1eIBBg7ty5mDt3LgB50KYuwHr33Xdx4cIFdiypYjIn5fxtbW2xefNmGBgYqARn5eXlnEB/9erVWL16NQB5XRKJREhMTOS8NxTnpChvZS4uLtiyZQv7mhsZGakE5H369EFxcbHK9uDgYDYoVs47IiICEREREIvFnB8fQkJCEBISwl5TRQCr3B4qZvoViUSc6x8dHc15boZhMGbMGEycOFGlLVCMO1V3DRXthzo1vZcbQ6MFqV9++SXn70GDBqFbt24YM2YMfvzxRzY9Ly8PQUFBKC0txd69e9GmTRskJCRg+fLleP/993Hs2DGVF74yxV1UGxsbvP322wDk3ZIVL4y64wUCQZUDxQ0MDNg0dV84aptv5UZXOV91H8JCoZB9Q1emmI67vvkq/1tVvpXPVfkaqstXca7qPlxqm6+uvDY1naviPGu6hvXJVyqVqk2rLl/FsdXlq+k1rOlcK6vpXA0NDSGVShvlGspksjq/bxqiHlb1JYjaCDlqI8DuX917WXk/dflSG6G/bYTi/+rKVJt8qY3QrzZC+VGZYltVbUBV221tbdn5VtSVqabnrK7NUaSpC0yqO1Y5ra7nWtsyqdvHwMCAvRtd33zr+py1Pdeq8tXFMtUmX3Vp1b2XGwOPqe4nlhpkZ2fDzs4O4eHhapehqUwmk8HS0hLDhw/H/v37AQBhYWH49ttv8ezZM86t43PnzqF///6Ijo7mDMiWyWQq0yS7uroiJycHixcvxvLly+t7OuQNk5SUBIlEAoFAoNKlh5DaoDpENEV1iGiK6pDuSE1NVenSrA8Ud+Z4PF6t5oIhb56q6ra6uMzCwqLGlVlqo1HHpKrDMAyn4Ldu3YKDg4NK32YfHx8AYMdt1KR///5YvHhxwxWUNHn0YU40RXWIaIrqENEU1SGiKQpMiS7SPMytg4MHD6K0tJSzLI29vT1evHjBGVcKAJcuXQIAlUkk1Jk3bx6OHz+u9VnOCCGEEEIIIYRopl7dfU+cOIGSkhIUFRVhypQpGDt2LLu2j7+/P7KysjBx4kSMHz8ebm5u4PF4OH/+PNatWwdXV1dcuXKFnd3w+vXr8PX1haurK8LCwtgxqVFRUeDxeEhISODMvNaYt5UJIYQQQgipD33t7ktITbTR3bdeQaqLiws7BXplT58+hZWVFT7++GPcvHkTGRkZkEqlcHZ2xsiRI7Fw4UKVdYpu3ryJ5cuX4+rVq8jKyoKDgwP69++PpUuXqlwQClIJIYQQQoiuSU1NhaOjY7UT1xCibxiGwYsXL/QjSNUmClJJQ3n+/Dk72UTl9e8IqQ2qQ0RTVIeIpqgO6Y7MzEyYm5urrImp6xTLvgCgoXNERWlpKYqLi1XWtgYaNy6jyI68sfLy8pCbm8suzE1IXVEdIpqiOkQ0RXVId9jY2CA7O7vK5cl0lVQqhUQieW3rXxL9IRaLkZ2dDRsbm9f+3K99dl9CCCGEEEKaGj6fDzs7O2RmZkImk2m7OLVWVFTELkFjYWGh7eIQHWJgYAA7O7vXtjaqMuruS95Y5eXlbKNM3VtIfVAdIpqiOkQ0RXWIaIrqEKmvJrVOKiG6ghpioimqQ0RTVIeIpqgOEU1RHSK6iG4/EkIIIYQQQgjRGRSkEkKXGliXAAAJ7ElEQVQIIYQQQgjRGXrX3VfdEFp9GpxOdIdyH3qaKIDUB9UhoimqQ0RTVIeIpqgOkfpSF4M11HRHejdxkkQiQUlJibaLQQghhBBCCCFEiZmZGQQCze+DUndfQgghhBBCCCE6g4JUQgghhBBCCCE6g4JUQgghhBBCCCE6Q+/GpMpkMpVBujweDzweT0slIoQQQgghhJA3C8MwKhMlGRgYwMBA8/ugehekEkIIIYQQQghpuqi7LyGEEEIIIYQQnUFBKiGEEEIIIYQQnaF3QWpxcTFmz54Ne3t7GBsbo2vXrvj555+1XSyiJ86ePYspU6bA3d0dZmZmcHBwQFBQEK5fv67tohE9tW3bNvB4PJibm2u7KETPxMfHw9/fH82aNYOJiQnat2+P5cuXa7tYRE/cvHkTI0aMgL29PUxNTeHu7o7IyEiUlpZqu2hExxQVFSE0NBSDBw+GnZ0deDweIiIi1O5748YNDBw4EObm5rC2tsaoUaPw5MmT11tgonNqU4ekUim+/fZbDB06FI6OjjA1NYWHhwfCwsKQn59f5+fUuyB11KhR2LVrF8LDw3HixAn4+PhgwoQJ2Ldvn7aLRvTADz/8gJSUFMyaNQvHjx/H+vXrkZmZiZ49e+Ls2bPaLh7RM2lpafj3v/8Ne3t7bReF6Jl9+/bBz88PVlZW2L17N44fP4758+erTEBBiDqJiYnw9fVFSkoK1q1bh9jYWIwfPx6RkZGYMGGCtotHdExOTg62bt2K8vJyjBgxosr9Hjx4gH79+qGiogIHDhzAjh078OjRI/Tp0wdZWVmvscRE19SmDpWVlSEiIgLOzs5Yt24djh8/jv/7v//D1q1b0atXL5SVldXtSRk9cuzYMQYAs2/fPs72QYMGMfb29oxEItFSyYi+yMjIUNlWVFTEtGzZkhkwYIAWSkT0WUBAABMYGMhMnjyZMTMz03ZxiJ548eIFY2ZmxsyYMUPbRSF6atGiRQwAJjk5mbN92rRpDAAmNzdXSyUjukgmkzEymYxhGIbJyspiADDh4eEq+40dO5axtbVlCgoK2G0pKSmMUChkQkNDX1dxiQ6qTR2SSCRMdna2yrG//PILA4DZs2dPnZ5Tr+6kHj58GObm5hg7dixne0hICNLT03HlyhUtlYzoixYtWqhsMzc3R6dOnZCamqqFEhF99dNPP+H8+fPYtGmTtotC9My2bdtQUlKC+fPna7soRE8JhUIAgJWVFWe7tbU1DAwMYGhoqI1iER1Vm6UaJRIJYmNjMXr0aFhaWrLbnZ2d8d577+Hw4cONXUyiw2pTh/h8PmxsbFS2d+/eHQDq/D1br4LUhIQEeHh4QCAQcLZ7eXmx6YTUVUFBAW7cuIHOnTtruyhET2RmZmL27NlYtWoVHB0dtV0comf++OMPNG/eHA8ePEDXrl0hEAjQokULTJ8+HYWFhdouHtEDkydPhrW1NWbMmIEnT56gqKgIsbGx2LJlCz799FOYmZlpu4hEzzx+/BhlZWXsd2plXl5eSE5Ohkgk0kLJiL5TDKer6/dsvQpSc3Jy0Lx5c5Xtim05OTmvu0ikCfj0009RUlKCRYsWabsoRE/MnDkTHTt2xIwZM7RdFKKH0tLSUFpairFjx2LcuHE4ffo05s2bh927d8Pf35/GpZIaubi44NKlS0hISICrqyssLS0RGBiIyZMnY/369douHtFDiu/QVX3PZhgGeXl5r7tYRM+lpaUhLCwM77zzDgICAup0rKDmXXRLdbeaa7oNTUhlS5Yswd69e7Fhwwa8/fbb2i4O0QOHDh3C0aNHcfPmTWpzSL3IZDKIRCKEh4cjLCwMANCvXz8YGhpi9uzZOHPmDAYOHKjlUhJdlpKSgsDAQLRs2RIHDx6EnZ0drly5gqioKBQXF2P79u3aLiLRU/Q9mzSU3Nxc9ofX/fv3w8CgbvdG9SpItbGxUXu3NDc3F4D6X38IqcqyZcsQFRWFFStW4LPPPtN2cYgeKC4uxqefforPP/8c9vb27JTqFRUVAID8/HwIhULqakeqZWNjg6SkJAwZMoSzfdiwYZg9eza7BAQhVQkLC0NhYSFu3brFtjd9+/aFra0tpkyZgo8++gh+fn5aLiXRJ4qxhFV9z+bxeLC2tn7dxSJ6Ki8vD4MGDUJaWhrOnj2Ldu3a1TkPveru26VLF9y/fx8SiYSz/e7duwAAT09PbRSL6KFly5YhIiICERERWLhwobaLQ/REdnY2MjIysHbtWjRr1ox9xMTEoKSkBM2aNcMHH3yg7WISHaduzBcAtptvXX9tJm+eW7duoVOnTio/iPn4+ACgOTpI3bm6usLExIT9Tq3s7t27cHNzg7GxsRZKRvRNXl4eBg4ciKdPn+LUqVNVfubVRK8+CUeOHIni4mIcOnSIs33Xrl2wt7dHjx49tFQyok+WL1+OiIgILF68GOHh4douDtEjrVq1wrlz51QeQ4YMgbGxMc6dO4eoqChtF5PouNGjRwMATpw4wdl+/PhxAEDPnj1fe5mIfrG3t8e9e/dQXFzM2X7p0iUAoAndSJ0JBAIEBgbiv//9L4qKitjtz58/x7lz5zBq1Cgtlo7oC0WA+uTJE/z+++/o1q1bvfPSq+6+w4YNw6BBgzBjxgwUFhbCzc0NMTExOHnyJH766Sfw+XxtF5HouLVr12Lp0qUYOnQohg8fjsuXL3PS6cshqY6xsTH69eunsj06Ohp8Pl9tGiGVDR48GIGBgYiMjIRMJkPPnj1x7do1LFu2DAEBAejdu7e2i0h03OzZszFixAgMGjQIX375JWxtbXH58mWsXLkSnTp1wrBhw7RdRKJjTpw4gZKSEjYATUxMxMGDBwEA/v7+MDU1xbJly+Dj44OAgACEhYVBJBJh6dKlsLW1xdy5c7VZfKIDaqpDPB4PQ4YMwc2bN7Fu3TpIJBLO92w7Ozu4urrW+vl4jJ5NI1hcXIxFixbhwIEDyM3Nhbu7OxYsWIDx48dru2hED/Tr1w/nz5+vMl3P3g5ERwQHB+PgwYMqdzUIqUpZWRmWLVuGffv24eXLl7C3t8cHH3yA8PBwGBkZabt4RA+cO3cOq1atwp07d1BQUIA2bdogMDAQCxYsULtWIXmzubi44NmzZ2rTnj59ChcXFwDA9evXMX/+fFy6dAkCgQD9+/fHN998U6fggjRNNdUhAGjbtm2Vx0+ePBnR0dG1fj69C1IJIYQQQgghhDRdejUmlRBCCCGEEEJI00ZBKiGEEEIIIYQQnUFBKiGEEEIIIYQQnUFBKiGEEEIIIYQQnUFBKiGEEEIIIYQQnUFBKiGEEEIIIYQQnUFBKiGEEEIIIYQQnUFBKiGEEEIIIYQQnUFBKiGEEEIIIYQQnUFBKiGEEEIIIYQQnUFBKiGEEEIIIYQQnfH/ySl0oAlwuMYAAAAASUVORK5CYII=\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "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", 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" ] }, "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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\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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\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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65ZpMJjQajc02g8HQqnIbeq11yz33tdaNYX3l1r5WlUp13uW2l/emqdeq0+nQ6/X19o9s7L1pTrk6na7ebY2VW3tsU+XWp7kxrO/4unU6V1OvtaamBqPRWO+KlfaIYX0xam657eVzKG2Ebbnt5b2RNsK2XGkj6v8cGk1Gfs02rzY8zHuYJYbxwfFsydzC/sL9xHjFNKtcaSMunDaivudrK+edDMyfP58XX3yRhQsX8sgjj9S7T3FxMRMmTCA7O5tNmzbZZL8NueOOO/jxxx/5888/mTRpUpP7Ozs723yQVCqV5ctQN6uue0x9XxYAtVpt2Vbfm9bccs+tU91y62vsNBoNJpOp3nKdnJxaVW7dfxsqt/a1JiYmotPprF5LfeXWbq/vS1xfubXa43tTt04NxbDuPnU19t6cW25tbDUaDfHx8Wg0GgwGQ73P2Vi5dV9rQ/VtbQybeq3naiqGLi4uGAyGVsewvvrWNu5//vmnJbYtKbe9fA7baxtRKzU1lcGDB1v+39R7I20Elv0bKrf2rkBj5UobcX5tRG17W7u9pd+b8/0cJuYnkleVh5vajaEBQy0xjAsyX/neX7Cfu/zvala57bWNqPu3rEuXLs36Lksb0XgbUd/ztRWV6TyWw5s/fz7z5s1j3rx5PP/88/XuU1xczBVXXEF6ejq//vqr1R+Qpnz11Vf87W9/IyEhgauuuspqm9FotNz6qeXt7S0j2u3o3BNWYT8SW+VIbJUjsVWOxFY5jortiztfZGXKSq7rfR0LRy60PF6hq+DSLy/FhIlNN28i2KPpng/tlXxu7c+R57ctTkMWLFjAvHnzmDt3bpOJQFpaGhs3bmxRIgDw+eefo9FoGux6JJTl4eGBXq93aJbaWUlslSOxVY7EVjkSW+U4IrZ6o56NxzcCcHXPq622eWo8ifKP4mjxUZIKkhjffXyb1cve5HPbubToXVy0aBHPPfccEydO5JprrmHnzp1W24cPH45Wq+Wqq67ir7/+4o033kCv11vtFxwcbBlw9Nprr3Hw4EHGjx9PeHi4ZQDxhg0bmDdvnkxd5SDnDpgR9iOxVY7EVjkSW+VIbJXjiNjuyt1FUVURAW4BXNL1EpvtcUFx5mQgv2MnA/K57VxalAysXbsWgISEBBISEmy2m0wmTp06xe7duwGYM2eOzT533303y5YtA8wjsdesWcNPP/1EcXEx7u7uDBo0iBUrVnDbbbe19LUIIYQQQjhM7doCV/a4Eme17SlWXHAc3x39rtMsPiY6hxYlA1u2bGlyn8jIyHpH7Ndn8uTJTJ48uSVVEEIIIYRod6r0Vfx6wjyL0NW9rq53n9pBxAcKD6A36utNGIRoazLqVgghhBCilbZlbaNCV0FXz67EB9c/qLaXXy+8NF5o9VpSS1LbuIZC1E9SUmHjxIkTloFBjloAo7OS2CpHYqscia1yJLbKaevY/pz+MwCTek5Crar/WqtapWZg0EB25e4iMT+RfgH96t2vvZPPbecidwaEjeLiYoqKiiyr7An7kdgqR2KrHImtciS2ymnL2JbVlLEtaxtgO4vQuWq7CnXkcQPyue1cJBkQQgghhGiFX0/8So2xht6+venr37fRfWu7EO0v2N8WVROiSdJNSNiIjo7GZDLVuyKgaB2JrXIktsqR2CpHYquctoxt3S5CTT1fbHAsAGmlaZyuOY2Pi4/i9bM3+dx2LpIMCBuurq6OrkKnJbFVjsRWORJb5UhsldNWsS3QFrAz17yeUlNdhAAC3AII9wonqzyL5PxkLgu7TOkq2p18bjsX6SYkhBBCCHGeNmRswGgyEhsUS4RPRLOOiQs+M26goOOOGxCdh9wZEEIIIUSrZGZm8vHHH5OUlIRarWb48OHcc889BAYGOrpqiqtdaGxSz0nNPiYuOI516es69CBi0XlIMiBsnD592tIX0Men4/VlbM8ktsqR2CpHYqucjh5bk8nE/PnzefHFFzEYDJbHv/32W+bOnctbb73FzJkzHVK3tohtVlkWifmJqFAxMXJis4+rnVFof8H+Dtn3vqN/boU1SQaEjfT0dHQ6HRqNhvj4+hdOEedHYqscia1yJLbK6eixfemll5g/f36926qqqrj//vvx8PDg9ttvb+OatU1sEzISALg49GKCPYKbfVx0QDQuahdKqkvILMuku0/Hmqu/o39uhTUZMyCEEEJ0QJs3b2bq1KmEhIQQGBjIyJEjWbZsGTU1NW3y/AUFBbzwwgsAqFQq/vWvf5GSkkJiYiLTp0+37Pf444+j0+napE5trbaL0NW9mh44XJfGSUN0YDQAifmJdq+XEC0hdwaEjZCQEAwGA05OTo6uSqcjsVWOxFY5ElvlnE9sTSYTs2fP5p133rF6fPv27Wzfvp0lS5bw888/ExAQYO/qWlm+fLkl8Zg1axavvPKKZdtHH31EXl4eP/30E7m5uaxbt44pU6YoWp9zKf25PVp8lKPFR3FWOzO++/gWHx8XFEdSfhJJ+UlM7j1ZgRoqR9qEzkWSAWEjNDTU0VXotCS2ypHYKkdiq5zzie1rr71mlQj4+fnh6elJdnY2AH/88Qe33norGzZsULQv+sGDBy2/n9sNSKVScfvtt/PTTz9Z9m3rZEDpz23t2gKjwkbh6+rb4uPjg+NZfmh5h1x8TNqEzkW6CQkhhBAdRFVVFa+++qrl/2+//TZ5eXlkZmayefNmunTpAsAvv/zCrl27FK2Li4uL5ffi4mKb7UVFRfXu2xmYTKazXYSasbZAfWoXH0spSqFKX2W3ugnRUpIMCCEcJiUlhTfeeIMFCxawbNkySktLHV0lIdq1DRs2UFhYCMBtt93GrFmz0Gg0qFQqxo4dy7///W/LvsuXL1e0LqNHj7b8/tprr6HX6y3/Ly8vZ/HixfXu2xkkFSSRXZ6Nu7M7YyLG1L9TaRbk7Gvwp5veRKBbIHqTnkNFh9r2BQhRh3QTEkK0uZMnT3LfffdZuhDUeuSRR/jnP//J888/j1ot1yqEOFdtVyCA8eNt+6lfccUVlt9zc3MVrcv1119Pt27dyMnJYfPmzQwZMoS7776bqqoqPvzwQ9LT0wEYNmwYw4YNU7Quba22i9C47uNwd3a33UFfDR9cDhV5DZah8upC3OCr2Jy1laT8JAZ3GaxUdYVolCQDwsaBAwcsU4YNHDjQ0dXpVCS2UFhYyOjRozl69KjNtoqKCl544QVOnTrFe++916JyJbbKkdgqp6Wx9fPzs/y+f79tX/OkpLOLWPn6trwfe0u4uLjw6aefcs0111BTU8OR00d4p+QddEU6MjMyLfX96KOPFK1HQ5T63OqNehLSzVOKNthFyMkFfMOgogAw1rODGnzCiAuOtyQDHYm0CZ2LXHoTNvR6veVH2JfEFhYsWGBJBEJCQnjllVdYtWoVDzzwgOVuwPvvv8/vv//eonIltsqR2CqnpbG98sorcXV1BWDp0qVW4wLy8vJ45plnLP9viwG7V1xxBRt/2Uj8vfH0mtsLj94e+A7zxWeoD5dffjnbt28nNjZW8XrUR6nP7e6TuymsKsTP1Y9Lu11a/04qFYybS/2JAObHx80lLtg8R39SQcdKBqRN6FzkzoCw4erqilqtRqPROLoqnc6FHlutVsuyZcsAcHNzY+fOnURGRgLmE5eYmBhmz54NwHvvvcfIkSObXfaFHlslSWyV09LYBgYGcs899/D++++j1Wq59NJLGTNmDP7+/qxfv57KykoA+vTpwzXXXKNk1QEo1BbyZfWXGEYZUKPGx+TDadVpLvnnJay7eR3OasedZij1ua3tIjShxwQ06kbK7j0eug2G3EQw1UkKVE7QNQ56j2egvhK1Ss3JipPkVebRxaOLXeuqFGkTOheVyWQyOboSLWE0GikrK7N6zNvbW/oXC9EBJCYmMmjQIABuueUWVq5cabW9qqqKgIAAtFotUVFR9XYlEuJCV1FRwcSJExu8exYSEsKmTZsYMGCAovXYkbODp39/mgJtAa5Orvxr2L+4uufVXP391RRXF/PCZS9wQ58bFK1DW6sx1DB25VjKdGV8ctUnDA0d2vgBh9fBV3+zffyO7yDKPL7jxjU3crT4KG+MfYPxPVq+XoHoHBx5fitn0EKINmM0nr06Vt9Ug87OzpaGr+6+QoizPD092bhxIy+//DI9evSwPO7l5cVDDz3En3/+qWgioDPqeGPPGzyw8QEKtAVE+UWx4poV3NLvFrxcvLg39l4AliQuocbQNqsht5Xfsn+jTFdGiEcIF4Vc1PQBRxLOeUBlvlvQ++xJf1xQHACJBbISsXAMSQaEEG0mKioKd3fzzBurV68mPz/favvKlSupqKgAID4+vs3rJ0RH4ebmxhNPPEFaWhoZGRkcPXqU/Px83n33XcLDwxV73qyyLO5JuIePkj/ChImb+97Ml9d8SR//PpZ9bu13K108upBbkcs3R75RrC6OsC7NvLbAxMiJqFVNnELt/xb2fnrOgyYY/bh5TMEZ8WfGDezP73iLj4nOQZIBIUSb8fb2Ztq0aQCUlZUxatQoli9fzu7du3nhhReYOXOmZd/777/fUdUUosNQq9X06NGDqKgo3NzcFH2uhIwEbl57M0n5SXi7eLNozCKeu/Q5m6k13ZzdeDD+QQA+SPqASl2lovVqKxW6CrZmbQXg6l5NLDRWmApr55h/H/UYdB10dluO9R2A2CDzAOsDhQfQG2VArmh7MmZA2MjJycFgMODk5ES3bt0cXZ1ORWILWVlZDBs2jJMnTza4zw033MB3332Hqs7Vs6ZIbJUjsVVOR4htpa6SV3e/yndHvwNgUPAgXhn9Ct28Gq6vzqhjyqopZJZlMueiOdwXe19bVdfC3rFdm7qWp39/mkifSNZcv6bh9klXBR9NgJNJ0P0yuHstZPwGqx6CslxwdofZe8xTjwJGk5ERK0ZQrivnm8nfEB0Q3eq6Kq0jfG47GhkzINqV/Px8Tp06ZdOFQ7SexBbCw8PZtm2bZSBxXSqVivvuu48VK1a0KBEAia2SJLbKae+xTSlK4bafbuO7o9+hQsXM2Jl8MvGTRhMBAI1aw8ODHgbg4+SPKa1u+9XF7R3bdenmLkJX97y68fZp47PmRMA9AG76EJycoffl8H+HoPuloNfCry9Ydler1MQExQB0mPUG2vvnVrSMJANCiDbXp08f9u7dy+bNm3nsscd44IEHePHFF0lLS2Pp0qWWedSFEI5hMplYcXgF036aRnppOsHuwSy9cimPXvRos6cLnRQ5iSi/KMpqyvj0wLl95zuWoqoiduTsAGBSz0kN73hwDfzxgfn3G963XP0HzOMErlpo/j3pK8jeY9lU21WooyQDonORdQaEjaioKEwmU4uvzIqmSWzPUqlUjB07lrFjx9qlPImtciS2ymmPsS2tLuW57c+xKXMTAKPDR7NgxAIC3AJaVI6T2onZg2czZ/Mclh9azrT+0whyD1KiyvWyZ2w3ZmzEYDIwIHAAkb6R9e9UnAGrHzH/ftmj0PdK233ChkDcbeZkIOFpmJEAKpVlEHFHWXysPX5uxfmTOwPChqenJ15eXnh6ejq6Kp2OxFY5ElvlSGyV095iu+fUHm5acxObMjehUWt4YtgTvD3u7RYnArUuj7ic2KBYtHotH+3/yM61bZw9Y1u3i1C99DXw7QyoLoXwYTD+uYYLG/+cedxA5k44uAqA2GDznYH00nRO15xudX2V1t4+t6J1WpQMbNq0iRkzZhAdHY2npydhYWFMmTKFPXv22Oy7d+9errjiCry8vPDz8+PGG28kLS2t3nIXL15MdHQ0rq6u9OzZk/nz56PT6c7vFQkhhBCiRQxGA0v2LWHG+hmcqjxFD58eLL96OXcMuKNVV39VKhWzB5tXFV+ZspLc8lx7VbnN5JbnsjdvLypUXBV5Vf07/Trf3O3HzRemfgxOjazM6xsGI87MNLTxOdBVEeAWQIR3BADJ+cl2fgVCNK5FycCSJUvIyMhgzpw5rFu3jjfffJO8vDyGDx/Opk2bLPsdPnyYsWPHUlNTw9dff83HH3/MkSNHGDVqlM1gk4ULFzJnzhxuvPFG1q9fz8MPP8xLL73ErFmz7PMKhRDt2tt/vc3or0aTUpTi6KoIcUE6WXGSezfcy6kWxdwAACAASURBVLuJ72I0Gbmu93WsvHYlAwLts3DZ8K7DuTj0YnRGHe8lvWeXMttSQoZ54bAhIUMI9Qy13SHlZ9jxtvn3Ke+CX/emCx3xKHh3g5ITsGsJcHbcgCw+Jtpai6YWzcvLo0uXLlaPlZeXExUVRUxMDL/88gsAt9xyC5s3byY1NRUfHx8Ajh8/Tp8+ffjHP/7BK6+8AkBhYSHh4eHcddddvP/++5YyX3rpJebOnUtycrLNKooytajyKisrLX0BPTw8HF2dTkVia21b1jZm/WpO/K/rfR0LRy4877IktsqR2CrH0bHddGITz/3vOUqrS/Fw9uDZS5/l2l7X2v159uXt486f78RJ5cQPU36gp29Puz/HuewV25vX3szhosM8O/xZbul3i/XG0ix4byRoi+GSh2DSy80vOPEr+OEBcPGGR/fyReZGXv7jZUaFjeLdK9497/q2BUd/bjujDjO16LmJAJiXPx8wYACZmZkA6PV6fvzxR2666SZLIgDQo0cPLr/8cn744QfLYwkJCVRVVTF9+nSrMqdPn47JZGLVqlUtejHCPo4ePcqhQ4c4evSoo6vS6UhszyrQFvDs9mct/994fGOrFieS2CpHYqscR8W22lDNS7teYs7mOZRWlzIgcADfTP5GkUQAYFCXQYwNH4vBZODdfW1zomuP2KaVpnG46DDOKmeu7HHOgGCDDr6915wIdB0EE+a3rPDYW6DbYKgpg80LrQYRt/cloKRN6FxaPZtQaWkpe/fuZdy4cQCkpqai1WqJi4uz2TcuLo6NGzdSVVWFm5sbycnmfnGxsbFW+3Xt2pWgoCDL9qYcOHCAHj16WCUf1dXVHD58GAB/f3+6d7e+bXf06FEqK80nHvHx8VbbCgoKyM7OBqB79+74+/tbthkMBku9vL296dWrl9Wx6enpnD5tHvwzcOBAnJ3PhrikpITjx48D0K1bN4KDg62OTUoyNwDu7u707dvXaltmZiZFRUUA9OvXz2qlyfLyclJTUwFzwta1a1erYw8ePIhOp0Oj0djcacnNzSUvLw+A3r174+XlZdlmMplITDTfrgwICCAiIsLq2CNHjqDValGpVDbvd35+Pjk5OYA5EfTz87Ns0+v1HDhwAAAfHx969rS+QpSWlmbJjmNiYnBycrJsKy4u5sSJEwCEhYURFGQ9M0VtfT08POjTp4/VthMnTlBcXAxgGaNS6/Tp06SnpwMQEhJCaKj1reADBw6g1+txdXUlOtp6QZicnBxL97eoqCirAVWVlZWWxjIwMJBzpaSkUFVVhZOTEzExMVbb8vLyyM0196+NjIzE19fXsq2mpoZDhw4B4OvrS2RkpNWxqamplJeXA+bvV90rC4WFhWRlZQHmOf/r1stoNLJ//37AnOj37t3bqtyMjAxKS83zhffv3x8XFxfLttLSUjIyMgDzd/jciwfJyckYDAbc3Nzo27cvz25/lqKqIvr496GiqoIcbQ4f/fYR9w6/1+pKU0VFBceOHQMgODjYZoGbw4cPU11dXe84o5MnT3Lq1CkAevbsKW0E59dG1MbWaDRabauqqiIlxdy9S9qI82sjak/6dDodWVlZhIeHWx2rRBuRVprGnI1zyKjIAOCuAXfx94v+juZMP3el2oh7+tzDlqwtJGQkcGPYjVwadanVsXXbiH79+llty8rKorCwEDBPTdySNkKv15OYmIizszMDBw602tZUG7FsxzIABgcMxs/Nz+rYou8fJyBzJwZnT5xu/gScz35eCgoK2HfkOKerjYSGhlqVazAYzD0nXNX0j51NWM4M2PsZ/YZMx0XtQml1KRt2byDUNbTDtBENnUdIG3FWU21EYWGhzd+httLqZGDWrFlUVFTwzDPPAFi+rAEBtjMPBAQEYDKZKC4upmvXrhQWFuLq6lrvaPSAgABLWU3R6/U2WbTJZLL8AdPrbZf31uv1DQ5SNhqNDf7xA5pd7rl1qluuwWCot1yTyYRGYzvwyGAwtKrchl5r3XJrX2tgYCAGgwGj0Wh5D+ort/a11je4rL5ya7XH96ZunRqKoV6vr/d2XWPvzbnl1sa2tmGqfW/qe87Gyq37Wlv6njc3hvUdX7dO52oqhjU1NRiNRpycnPjy8Jf8nv07rk6uvDrqVX7Y/wOfpX/GtsJtzDDNaFG5ta9VpVIRFBRk1eg3971pL5/D9tpG1Kp7QlP7PI2VK20Elv0bKtfX17fRdtaebYTJZGLVsVX8+49/o9Vr8Xby5r6w+7hnyD1W9Vaqjejt05tLfC9hV+kuPkr5yCYZqNtGtOS1NvTe1La3RUVFlu9OS8o1Go1sL94OwKigUdYHHvuFgAOfAJAR93/0DrBO+nNKtDz040l0RoC8+sKBRg2fTI0mbMD1cHAVmo3P0T+4P4n5iaScTiHQL7DdthF1/5Y197ssbUTjbUR9z9dWWpUMPPvss3zxxRcsXryYIUOGWG1rbPaButuau19jnJ2dbfZVqVSWL0PdrLruMfV9WQDUarVlW31vWnPLPbdOdcutr7HTaDSYTKZ6y3VycmpVuXX/bajc2tdae2WqqqrKcgWzvnJrX2t971N95dZqj+9N3To1FMO6+9TV2HtzbrnnXvXTaDRWyUFzy637Whuqb2tj2NRrPVdTMXRxccFgMJCjy+H1v14H4J9D/0mUfxRXdLuCz9M/53DlYXIrc4nyjGp2uRqNBqPRiLOzMz169GiwvtJGtL6NCAkJsdrW1HsjbQSW/RsqNyQkpNF21l5tRFlNGQt2LODnjJ8BiPeL576w+/DX+Nscp2QbcXO3m9lduptdBbvYl7ePQV3OrkRe20a0tp2tVdvearVaqqurW/y9OVxymLyaPFxULlzW5bKzG07nwvcPAFDQcwrlPSbYlHu62ngmEWiYzgjleszdi1LWQfpW4kJvJxHIqM5gjGZMu20j6v4ty83NbdZ3WdqIxtuI+p6vrbRoAHFd8+fPZ968eSxcuJCnn37a8nhKSgrR0dG88847PPzww1bHPP744yxatIjKykrc3Nx46qmnePnll6moqLAZgBIcHMyECRP48ssvrR6XAcRCdFxV+ir+9tPfOFZyjNHho3l73NuWBnXmhpnszN3Jw/EP89CghxxcUyE6j/35+3l82+Nkl2fjrHLmkcGPMD1mOmqVY/5uzvvfPL47+h1DQ4by8VUft9uFq17d/SqfH/ycSZGTeHXMq+YHjQb4bApk/AYhMXDfr6Bxszk2ObuUaxf/3uRz/Dh7JDFhvrDxedj+BgkhPXncw7y42cprV9r7JYl2rMMMIK5VmwjMmzfPKhEAc38xd3d3S5/Cuvbv309UVJSln1rtWIFz9z158iQFBQU2/SOFEB3b63te51jJMQLdAnnhshesTgKmRE0BYHXqaoymJi6pCSGaZDQZ+Tj5Y+76+S6yy7MJ8wpj2aRl3Bt7r8MSAYAH4x9Eo9bw56k/2ZG7w2H1aIzBaGB9+noAJvWcdHbD1lfNiYDGE25eVm8i0BIF5dXmX0b9EzyDiSs092U/UnSEKn1Vq8oWorla3BosWLCAefPmMXfuXJ5//nmb7c7OzkyePJnvv//eKsM5ceIEmzdv5sYbb7Q8NnHiRNzc3Fi2bJlVGcuWLUOlUnH99de3tHpCiHZqW9Y2VhxeAcCLI18k0N16QPX47uPx1HiSXZ7N3lN7HVFFITqNAm0BD258kP/u+S96k56rIq/i68lfW2ascaRQz1Bu7XcrAG/tfatdzpyz59Qe8rR5eLt4MyJshPnBtK2w1Tw1Otf+F4L61HtsZlElS7Yca9bz3PPJbi556Rdmfn2Ezd3up6veQJDBiN6k51DRIXu8FCGa5DRv3rx5zd150aJFPPXUU0ycOJGZM2eSlZVl9VPbhyw2NpZ3332XzZs3ExoaSnJyMjNnzkSlUvHZZ59ZBgy7u7ujUql47bXXqKmpwdnZmW+//ZbnnnuO6dOnM2PGDJs6mEwmampqrB5zdXVtt7cZO6KUlBROnjxJcXGxzSh70ToXamwLtAU8+MuDaPVa7uh/B9P6T7PZR6PWkFmWyaGiQ6hUKsZ1H9ei57hQY9sWJLbKUSK227O388DGBzhachQ3JzeevfRZHh38KG7OrbuKbU/9A/qzMmUlORU59AvoRy/fXk0f1EKtie3S/Us5VHSIyb0mM77HeCjPh8+vh5pyGHwHjPmXzTHJ2aUs+OkQT/+wnyOnypv1PCqgvNpAWn4Fa/OCuEq9mxNuVWS4aEjOcENbFo4R8Pdwwdmp/XSHljbB/hx5ftui0Qpr164FzOsDJCQk2Gyvze6jo6PZsmULTzzxBFOnTsXZ2Zlx48bxn//8x2YarGeeeQZvb2/eeecd/vOf/xAaGsqTTz5pmZ1ItL2qqqoGZ68QrXMhxtZkMlmmEe3r35e/D/l7g/tO6T2F749+z4aMDTx18VN4aJq/mM2FGNu2IrFVjj1jqzPoeOuvt1h2YBkAff378tro1+jlZ/8T7dYKdA/kzgF38kHSB7z919uMDR+Lk9p20GVrnG9sdQYdG49vBM50ETIa4Yf7ofwUBEfDpFct+5pMJrYfK+T9ban8drTA8vjg7n78daKkyef65sFLMQGJmSXsyyzhg+P3EVe9iM2eHpwo2s28/eY7Oc5qFf27+hAX7kt8hB+DIvzoHeyFk7rpE8XsEi3FFTUNbvf3dCHMz73JcuqSNqFzaVEysGXLlmbvO2TIEMuKxE159NFHefTRR1tSFaGg2qnC6hsNL1rnQoxt3WlEXxn1Cq5Org3uO7jLYCK8I8gsy+TXE78yuffkZj/PhRjbtiKxVY69Ypt5OpN/bfsXyYXmNS5u63cbjw17rNHvm6PdPfBuVhxewbGSY6xLX9ei73tznG9st+ds53TNaYLdgxkaMhS2/xdSN4Gzu3mcgIsneoORdckneX9rKgdyzswGpVZxbVxXHhjdG6PJ1KwBxG4aJ2LCfBkWWTsd+0X877MNYMrE2yuduOguJGaWUFhRw/7sUvZnl/LFLvO4Ak8X87GDIvyIC/cjPsKXMD93qyvJ2SVaxv1nC9X6hsdhuTqr2fTY2BYlBNImdC6Om8dItFsycFs5F1psjxQf4fU/racRbYxKpWJK7ym8ve9tVh9b3aKTgwsttm1JYqsce8R284nNPPX7U1ToKvBx8eGFES8wvvt4O9ROWT4uPsyImcGbe9/k3X3vMjFyomXhM3s439iuS18HwFWRV+GU+QdsWmjecPVraP368s2ODJb+lkZmkRYAd40Ttw6L4N6RPYkIMN/NzC7R4uqsbvIk3N/TxebxQVe+jDphGgVqAyuHZRN89xSyS7QkZpaSmFVCYmYJ+7NLqagxsCu9iF3pRZZjg7xczInBmeTAxanxOgBU640UV9S0KBmQNqFzOe+pRR1FphYVomOoO43omPAxLB63uFl9H3PKc7jqu6sAWH/Terp5dWviCCEuXDqDjjFfj6GspoyLulzEK6NfIdQztOkD24lKXSVXf381hVWFPDv8WW7pd4vD6zP267Fo9VpWjHuPmK/vg7IcqvtPZUnAv/h0x3GKK80LSwV4unDPZZHcObxHvSf1remec9MXl3FEX8YbVW6Mn7kTzulCZTCaOJZXTmJmiTlByCrhcG4ZeuP5ndJZpjgVDuPI81u5MyCEUETdaUTnXza/2YOgunl145LQS9h1chdrUtfwYPyDCtdUiI7rz1N/UlZTRoBbAB9d9RHO6o71Z91D48H9cffz7z/+zfuJ73Nd7+scOtB5S+YWtHotEd4RDNz6BpTlUOAawVXJ11CoM88QFBHgzv2jejF1SATuLg13kwnzc29xX/xacd3HciRtLYlVeYzf+xkMnW613Umtol+oN/1CvbllWAQAVToDB3NPmxOEzBISs0pJL6ho1vNtOHCS01U6Ivw96OrrpthgZSXGL4jW61ithhCiQ6g7jejCkQttphFtypSoKZZk4IG4B2S2MCEasDVrKwBjI8Z2uESg1tS+U/n0wKfkVOSwMmUldw+822F1qe0iNMrgh+rYT1SbNNx5+mEKTa7EhPnw4JjeTBwYqvjMPnGhw/g2bS1Jri6weSHE3ARuPo0e46Zx4qLu/lzU/eyq0jtTC7lt6c4mn++tTcd4a5M52XFWq+jq50aEv4f5J8CdiAAPws/8Hux1fjPcKDV+oTPILtFSWlFDmJdjnr9jthxCUXl5eZaBQV26dHF0dTqVCyG2BdoCnt3+LAB39L/j7BzdLTC++3g8nD3ILMvkr7y/uCjkoiaPuRBi6ygSW+W0JrYmk4ktmVsAGBs+1v6VayMuTi48GP8gz/3vOT7c/yE39bkJL5fWnxW1NLYlVSX8nr0dgBtTzBOgvKC/k6CoIXwxpjeX9Q5sswsTccFxABx0c0N/8gTOvy2CCfNbXI6XW/NO8wZH+FFcWUN2iRadwURmkfbMmIhCm33dNGq6ervQ1ceFbr5u9A0LOJM0mJMHX4/6x30UV9QoMn6ho6tNkjw0arb8fbhD6iDJgLCRm5uLTqdDo9HIH3476+yxNZqMzN0+t1nTiDbGQ+PBlZFXsurYKlanrm5WMtDZY+tIElvltCa2R0uOkl2ejauTK8O7OeYkAoDSLKgoaHi7ZzD4hjVaxOTek/k4+WMyTmfw+cHPeWjQQ62uVnNjqzcY+Tn5JP/Z8SkGdz29qo3001fzl/dYpt32PAPD/Fpdl5bq6dsTL40X5bpyjrloiN75rrmrkH+kIs+34PoYYsJ8MRpNnCqrOpMMVJJZXGn+vbiSrKJKck9XUaUzkl5URXpRFXAaEvOsyvJ2cz57R6E2SQhwp6pGpiGtT22S5KFx3NhXSQaEEHbz5aEv2Z69HVcnV14d/WqrpjWc0nsKq46tYn3Gep68+EncnS+cK0VCNMfWTHMXoeFdhzvu+6Gvhg8uh4q8hvfx6gJ/TwbnhtsDZ7Uzjwx+hMe2PsanBz/ltujb8Hfzb3B/e9DWGPh2TyZLf0vnRFEl7t134gxMqShF79ODwQ9/Bm6OGVSrVqmJCYphZ+5OksJiiE7/CzY+D7d8quzzqlV09XWnq687F/cMsNleozeSU6Jl655kckqrKayCao03mUWVZBVXUlBeQ1mVnoO5pzmYe/q86lBercdkMil+F0bGL5wlyUArFBQUsHr1ak6dOkVgYCDXXXcdXbt2dXS1Wi0yMrJNvogXos4c25SiFF7fY55G9LGhj9Hbr3eryrso5CLCvcLJKs/i1xO/cm2vaxvdvzPH1tEktsppTWwtXYQixtq3Ui3h5GK+6l9RANTXBUQNPmHm/ZowoccE+gf051DRIT5O/ph/Dv1ni6tT9wRP6xaEydWEXqUiObsUMJ/geWic+GzHcT7dkUHRmX39fSoxeKZhAiZV1uB8zzKHJQK14oLjzMlAtxhuyUiEg6vg+A7ocWmzy/D3dDnvKU7r4+KsJjLIE//h0ZbPra/v2ThV1ujJKj5zV6GoksxiLVln7i5kFFZQ2Yy7A7d9sBMXJzXB3q4EebsS7OVKsPeZHy+XOr+7Eezt2ugg7oa01fgFk8mEVmegqKKGkkodRRU1FFfWUFxRQ3GljuLKmmYP8laSJAPnobq6mscee4ylS5dSXV1tefyRRx7hzjvvZPHixXh6ejqwhq1T94st7KuzxrZKX8UT255AZ9QxJnwMt/a7tdVlqlVqrou6jnf3vcvqY6ubTAY6a2zbA4mtcs43tgXaApIKkgAYEz7GnlVqGZUKxs2F5Tc1sIPRvL0ZyY5apWb24Nk8/OvDrDi8gjsH3EkXj+Z3nWrOCZ6TCpzrzL0fEeDOzFG90Bm+5I1UuKiqiq7j50NY010TlRYfbF59OKniBAy+E/Z+Cuufgvs2QTOnmwzzc2fTY2PtfgW8oc+th4szfUO86RvibbMtObu0WQuxAdQYjGSXaMku0Ta5r5erM0FWScLZ5CGozu+Bnq64OJvjdj7jF0wmExU1hjMn8jVWJ/gllTUUVdZQXKGz3lZZQ00Tz9MedIpkQK/X4+LSvKy2tQwGA1OnTuXHH3+stx6ffPIJqampbNiwAVfX9rvyoxD29Pqe10ktTW3xNKJNua63ORnYlbuL3PJcunp1/DtvQtjDtqxtAMQExhDsEezQumQHXoZ/UBzuBftRcXaeexMqqgIHUBR4GY2PGDhrZNhILupyEXvz9vJB0gfMHT632fVozgmewQQGvZGB3cwzA02KCcVZV85tX6wAZ5jk2QsuaR/TGccEmRf2Si9Np3Tyf/FN/h5y/oL9X0P8bc0upzVTnDrCdw9dSoiPG/ll1eaf8moKymrIL6+yeiy/rJoqnZHyaj3l1XoyCiubLNvfQ0OwtytumubdTXjq+yRq9Cbz1fzKGnSG81vHwcVJjb+nBn8PF/w9XAjwdMHPQ0OApwtanYEPf0s/r3LtpVMkAxdffDHvv/8+l1xyieLP9dVXX1kSAVdXVx5++GFGjhzJ7t27Wbx4MRUVFWzbto0PPviA2bNnK14fIRyttdOINibMK4xhocPYfXI3a9PWcn/c/XYrW4iObHPmZsDBXYQwX42/YtFm3lcZGe1kfaKkwoS6IIWt/72LcdPnE9pzYJPlqVQqZg+ezfT10/nuyHfcPfBuIrwj7FrnBVNiuGN4d/NFC5OJ46sf4IAzOJlMXHnNkmbdxWgLAW4BRHhHkFmWSbL2JCNG/R/8Oh9+mQf9J4NLx+2B0BhXZyfC/c1TmTam9kq9JUEoqya/rKpO8nD28YLyavRG05muObpm12V/tu24B1dnNQGe5pP62hN888m9CwEeGvxrt9XZ7uHi1OBFsuTsUkkG7CErK4srrriCHTt2KL5E9pIlSyy/f/PNN0yePBmAG2+8kWuvvZaRI0da9uuoyUBNzdnbiW11x+VC0dlia49pRJsypfcUdp/czZrUNcyMndlgg9rZYtueSGyVcz6xrdJXsTPHPHe8o5OBktPlvKZ6k9FOyZhM5rsBapUJg0lFNRo8VDVMU23E9OkvEH0NXPoIdB/e6An30NChjOg2gu0523njz7d5aOBciirq9Lc+0+e6qE6XjOLKGvLLqhsss67B3f3OtiN7lrEu93fw92N4YCwB/r3sERa7iQuOI7Msk6SCJEYMfxj2fAIlJ2D7W3D5Uw6r1/l8bu09fkGlUuHl6oyXqzM9gxpPjIxGEyVanSUx2Hu8mEUbjzT5HI9f1Y/4cD/LVXx/D5fzGqPQ3nWKZACgvLycp556irVr1yr2HCaTiV27dgHQq1cvrr3Wug/ziBEjGDJkCHv27OHQoUOUlpZ2yL62hw4dskzHFh8f7+jqdCqdKbb2mka0KRN6TGDhroUcP32cxPxEBnUZVO9+nSm27Y3EVjnnE9tdubuoMlTR1bMrff37KlzDRui0dN94PwOddlFjcmKJ/jrmaH4AwEll4sGaf6DDmfuc1jHe6S84/CMc/pGKoHiO9ZnBEb8xFFYZz5zYW/fDLtQPg67bWX/8Z37Y3A9jTYj9638yGVPCk6wLMc9adPWAv9n/OVopNiiWn9J+Iik/CTRucMV8+HY6bH8TLrqrySlblXI+n1ulxi80h1qtIsDTfAW/H974umualQyM6RtMTJiy53G1SZIjdYpkoGvXrhQWFvLTTz+RnZ1NWJgyXw6TyYTRaM5o3dzc6r1C6e5+9kNsMMicuqLzsuc0oo3x0HgwoccE1qSuYdWxVQ0mA0JcKOp2EXLYDE/VZbDib3hn/obW5MIDun+wzRjHWKdE4tVpJBp7sc0YB6jYYRxIlD6be53WcaPT73gWJBJfMIcAYzAfGybytWEsFZx7AhiKm2cMGp9kPEN/IajyfvzPXJ31O9Mtw9w942w3jfzyah5avreZ9S+Hb+7hsNpAhosGVydXxkWMs3eUWq12EPH+gv3m2XsG3gC73ofMnfDrC3Dj+w6uYct0tPELbaE2SSptJElSWqdIBqZMmUJycjImk4mDBw8qlgyo1WpiY2NJTEzk4MGD7Ny5k+HDzy70cujQIbZvN69eGBERgb+/snMkK8XX19eyaqOwr84S21ZPI9rCRYquj7qeNalrLGsOuDm72RzSWWLbHklsldPS2BpNRrZmmdcXcNiqw5VF8MVUyN6DXuPFXeX/x25TNACv6m9lnvNnvKq/FTibqBwzhfGUfibvO/2Nu51/5SbDz0So83le/TlPuP3AgW43kdnnTtwCwi0n96WGXtz7y20YPfez+JYgy4DahtROH9os6x6DwqP8HGJuZ0aHj7bLqsf21s+/Hy5qF0qrSzlRdoIePj1g4kuwdBwkfQWX3A9hQ9q8XtIm2FeYnztdfVwpKytzyPN3imSgouLsHK3Ozsq+pPvvv59Zs2YBMHnyZJ5//nlGjRrF7t27mTdvHiaTybJfR52TOzIy0tFV6LQ6Q2zrTiM6Nnxsy6cRPY9FioaEDCHMK4zs8mw2ndjE1b2utjmkM8S2vZLYKqelsT1YeJACbQGeGk+Ghg5VplKNKc/D+Nn1qPMOUK725o7KJ9hnOtvPfrsxlgk1r9kc9tmMYQzvFXRmasdboaYSElfAjndwK0plSOanDMn+AmKmwmWPQEgs0J9re13LmtQ1LP5rMe9PsM9VcL8j30DiCowqNev8g6C6mGt6XmOXsu1N46Shf2B/EvMTScpPMicDYUMg7jZzMpDwNMxIaPNBzx29TbD3+IWOrlMkAz/8YO6j6ObmxqBBynYhmDFjBp988gl//vknBQUF9Q4Sjo6O5tFHH1W0HkI4yqI/F5FamkqQexDzR5zHNKLnsUiRWqVmcu/JvJf4HqtTV9ebDAhxIajtIjSi2whcmrGQl70YjSYSDyQTvvZvBNdkkmfy4w7tUxwxNW+mn4A6c7wD4OIBw+6FIdPhSAL8bzGc+J/5BDfpK+g1Fi6dzUNxD7IufR3/y/kfu0/uZljosAafozkneAOcc+h2ZtKDv4bfy6mT6/HSeDEyfGSzXocjxAXHkZifhbNkjwAAIABJREFUSGJ+IpN7myctYfxzcHC1ubvQwVUw8AbHVrKDceT4hfaoUyQD5eXlANx+++2Kd81xc3Nj/fr13HHHHfz8888220ePHs1XX32Fj4+PovUQwhG2Zm7lq5SvAFg4YiEBbrbL1TfpPBcpuq7XdbyX+B47cnZwsuIkoZ6hLX9uITq4tl51+MipMlb9lc2fe/fwevVzBKsKyDIF8Q+XeVx+yVBmh/kye8Vf5/8EajVEX23+yd4D/3vbfJKbtgXSthAe3J+buseysugv3tr7Fp9N+qzBCxBNneCp9Fr6rnkBdaEWeo1lnY8PnITx3ccrNubJHuKC4wDzuAEL3zAYMQe2vgwbn4O+k8wDjEWzyfiFszpFMgDm2X1eeumlNnmugIAA1q1bR2JiIitXriSnMIcuvl2YOnUqF198cZvUQYi2Vnca0TsH3MllYZedf2G9x0O3wZCbBKY6A+1VTtA1zrz9HBE+EQwJGcKeU3v4Me1H7ou97/yfX4gOKKc8hyPFR1Cr1IwKG6XY85w6XcWafTn88Fc2B3NP00eVxXKXlwhRlZDvEs7Ja1bwVWwsTmoV2SVa+3W3CBsCN38Cxcdh13uw9zPIP8QDRSmsjghjX/4+fktbx+jeDXfpafQEb81cKDwMnl3QTXmXDT+bF+5q73ca44PMg4iPFB1Bq9fi7nzm9Y141LwqcckJ2LUERv7DgbUUHVmnSAauvPJK/vOf/9ClS/OXLbeH+Ph4fjP+xtqktTx58ZNc3L9zJAKpqamWKcN6927hwFDRqI4aW6PJyNzf51JcXWyeRvSiVk4jqlLB6Mfhq2nWj5sMMOqxBvu/Tuk9hT2n9rD62GrujbnX6gphR41tRyCxVU5LYlt7V2Bwl8H4ufnZtR5lVToSkk+yel8O21MLODP8jXindJa7voK38TTGLgMIvnMVwd5np/lUpLuFfw+Y+G8Y8wTs/ZTgne/xt9IyPvHz4a1NjzHy0CbUlz4MgY3Hyyq2FXvNyQUquGkpO8vSKKkuIcAtgItD2/ff7lDPUILcgyjQFnCo8BAXhVxk3uDiCeOfh1UPwrZFMOh283irNiBtQufSKZKB5cuXo1a3/RytH+7/kPeTzAOaVqasZFr0tA47aLiu8vJyy5dc2FdHje2Xh75ke87ZaURb3Ve5phJ2vFv/ti3/Nt81qGf+7Csjr+Tff/ybjNMZJBUkWabdg44b245AYquclsTW0kXITrMI6QxGth3J54e/stl48JTV1f2hPfyZGXmKK/96GVVNGYQNQX37t+Bh2zVQse4W7n7mrjCXPMSMxC/4Zv/rpLg4s+HQl0z88yPzImaXzYaIS85eQKgzU5kh6whGvR51TSHsWWjefsmD5i5Cv5kX7JoYORFndfs+FVKpVMQFxbEpcxP7C/afTQYA4m6FP96HnL9g80KY/Gab1EnahM6lfX8D2rEvDn3Bm3vNXzoVKtJL0zlSfIR+Af0cXDMh7KvV04ieS1dlviNw/Hdwdge99uw2V184lQwfjoe/fQXdrCcE8NR4ckX3K1ibtpbVx1ZbJQNCdGblNeXsPrUbaN14AZPJxN4TJazel82PSbkU1bmi3yvYkxsGhTFlUBjdS3bCiofM388eI2HaV+Dq3dqXcX6cXfAbMp27nKp4N/Fd3unSjSvSj+F8ZhEzwoaak4I+V1rNVFbvcmzJ36G9/Ck2ndgEwKSek9rudbRCXLA5GUjMT7TeoFbDVS/BJ5PMdz4uvh9CBjqmkqLDkmTgPPxw9Ade/uNlAB6Mf5AjRUfYlLmJ9RnrO0UyEBsb6+gqdFodLbatnkb0XPpqWHkHpG0GjSfc8R2sf8p8VavbYJi6DFbcBvmHzH/cbvrQfPWvjilRU1ibtpaE9AT+NexfljUHOlpsOxKJrXKaG9vtOdvRG/VE+kQS6RtJdom2RV1z0vLLWbUvh9X7sjleWGl5PMjLleviu3H94G7Ehvma724f+tG8yq2hBqImwC2fmWf/cbC7Bt7FisMr+H/2zjs8qqLtw/fZ9N57QhICgQABQlOw0IsUQQV7Q0UBK3yW19eGYnvtqChSREWwAEonIL1KJ5ACIb2S3kjf3fP9MWlLNpUku4G9r2uvLeecObOzZ+fMM/M8vyehPI/NUz7irpRIOPcHpJ6EtY+BXZcqFTIJkLWUIIGdF/vTj1KiLMHL2qvTTChUBxGfyzpXf6PvMOg1VQRe7/gvPLKh3aVGDX1C26PLRLUGY6CFhMaHsuDoAkAEUc7tN5fQhFD2JO8hNCGU50Oe7/SuQrpwubpR6Gxte80yonVRVsCfj0HMP2JF4KE/wXeo8Hnd/pp4dvSDJ3fA2schdg/8/hCM/wBunltzcxvsPhgPKw/Si9PZl7yPCf4TgM7Xtp0JQ9u2H81t27oqQqn5pYz6bF+TQbvr5wzjZEIuf59NIyw5v2abpakR43u7My3Ei1sCnDA2qlOHc3/C37NF/E7QnXDPCjDWD611KxMrngx+ks9OfsZ38X8z6a6tmI56C04sgxPLoSCpiRJkGPUm2+M3A2JVoLPcr3s79UYhKcgoySCjOAM3KzfNHca8Cxe3CxWm6B3QY0K71sfQJ7Qtv/zyC59//jkHDhzQyfkNv2YL2Je8j9cPvo5aVjM9cDqvDHoFSZIY7j0ccyNzkouSicyN1HU1DegZpaWlLFu2jGHDhuHu7k7Xrl2ZM2cO4eHhuq5ao7SJjGg1qkox0xi9HYzNhcuBX5Wud8BIeO64eAYwt4MH18KgJwBZzHRtnQ8qJVCbcwBgQ+yG1tfJgIFOglKt5GDqQUAYA3nFFY0aAgDlSjV3fnuIBZsjCUvOx0ghMaKHC4vu78/JN8fw5X39GR7oomkInPwR/npaGAL9HoTpK/XGEKjmvh734WrpyuXiy6yNXgs2bkKKeF4kTPocHLpqP1AyAs8QCn0G17RlZ3ERArA0saS7fXfgKonRahz94eY54vXON0Wfa6BT8MUXX/DYY4+RmpqqszoYjIFm8m/6v/zfvv9DKSuZ6D+RN296s2ZGwdLEktu9bwdgR/wOXVbTgJ6RnJzMwIEDefrppzl69CgZGRnEx8ezZMkS+vbty9dff63rKmqlTWVEVUr4a5bw7TUyhftXi4RCjWFkDJO+EL6wSGKQsmYGlBUAQlUI4GjaUTKKM1pfNwMGOgFnM89SUF6AvZl9i9xa1DL087bjnSm9+Pf10fw0cwhT+3thaarFKeDw17BlHiDD4FkwdbH4H+oZ5sbmzO43G4Cl55ZSUlnl8mRqCYOfgudPwu2v1T9QVsGoN9mdtIdKdSXd7LsR6KA1qkBvCXYRrjlaXYVAKLFZOkPOJTixogNrZqC1xMbG8sorr+i6GgZjoDmcyTzDC3teoEJdwSifUbx/6/sYKYw09ql2VdiRsANZ1uar2HnIyckhKyuLnJwcXVelU1NZWcmkSZOIioqq+czNzQ0zM5HcRpZlXnzxxZoM2vpCXRnRHg49rk1GVK2CDXMg4m9QmMB9v0K3Mc07VpJg6LPCeDCxFG5DK8ZDXiJdbLswwHUAalnNlrgtgOG6bU8Mbdt+NKdtq12EbvO6rUXKN0seHsDG525l5i3+uNg0kFRLlmHvh/CPMP65dR5M/FQEpuop07pNw8fGh9yyXFZHrdbcqDCCka+DZwiyJL6DLClETFLAaLbFbwNgor9+5xbQRl/nqriB7AaMAXNbGPWGeL3vIyjJbbe6GPqEtuGHH35ArRarfHPmzNFZPfT3364nROZEMnfXXEqVpQzzHManwz/FRFFfSus2r9uwNLYkrTit4T9qJyElJYXExERSUlJ0XZVOzV9//cX582I5NyAggGPHjrFjxw5CQ0N59NFHa/Z777339MqAXB21ukZG9H+3/6/1MqJqNWx6Hs7/CQpjuPdnCBzf8nJ6ToKZ28DaXQQWLx8NKaeY2k2sDmyK3YQsy4brth0xtG370Zy23Z+yH6h1EdpyLq1ZZXs7NBH0K8uw4w3Y/z/xftRbMGZBuwefXismChPm9p8LwMrwlRSUF2juUJXlXJLFIEuSRVbz7LIcjl8+DnQuF6FqqleFIrIjUKqV2ncKeRRce0FZPuz/pN3qYugT2oaDBw/WvH7hhRd0Vo8WGwNFRUW8+uqrjBs3DhcXFyRJYsGCBfX2kySpwUfPnj2bte/HH3/c6i/WFsTkxfDMP89wpfIKA1wH8NXIrxocGJkbm9fIvYXGh3ZgLQ3oK7/++mvN6x9++KEmO7W1tTXz5s1j0KBBAJw9e5aIiAid1PFqLuZe5MtTXwLwyqBXWi8jqlbDlhfh7Grhqzv9x3qqQC3CMwRm7QG3YCjOgp8mMq60AnMjc+IK4gjP1u/4CwMGWkt8QTwJhQkYSSb8ecCSIR/uYsn+uGsvWK2CzS/Av4vF+wn/g9tfvvZyO4g7/O6gm303iiqL+Dni5/o7BIymxF6MNUrse0LAaHYk7EAtq+nr0hdvG+8OrvG142fnh42JDWWqMi7lXdK+k5GxEF0AEVid3cB+BvSCykoR2yFJEjY2OpLupRXGQE5ODkuXLqW8vJxp06Y1uN/Ro0frPb766isA7rrrrnr7T58+vd7+dWdPO5qkwiSe/udp8svz6e3Um8WjF9emAG+ACX7CVWhn4k7UcuPBXfqMt7c3vr6+eHt3vs5Sn6ieMVEoFIwaNQqobVsfHx/GjRtXs68uA4eq0ZAR9RnBvT3ubV1BsgzbXhaa15IC7l4qZO+uFTsveGI7dB8PyjKs/3qG0RYiMdnG2I2G67YdMbRt+9FY20amFfLmzj8AKC/yY1dkAZUqma7OVtd2UlWlCBSu/o/e+S3cPPvayuxgjBRGPB/yPAC/Rv1Kdmm25g6ShHL4f1E6BKAc/l+QJLbFdV4XIRDiCX2c+wANBBFXEzBK9JNqpQgmbgcMfULbEBQUBAi34fXr1+usHi2ODvL19SUvLw9JksjOzmb58uVa97v55pvrffbDDz8gSRJPPvlkvW1ubm5aj9EFl4sv89TOp8gqzaK7Q3d+GPsD1qbWTR53i9ct2JjYkFmSyZnMMwx0G9gBtW17nJycdF2F6wI7OzsA1Go10dHR9OjRQ6Nt664G2Nradnj9ruazk5/VyogOa6WMqCxD6OtwcgUgwbTvIXh621XSzAYe+E0oDB1bwtRLR9jq4ca2+G28MvgVzIwa8Is20GI0dexrbxXpqcIl42odewOt4+r+NvtKORvPprH+VAqR6YVY+B7G2BLMK4N56FZ/7hnojUotM/mbQ607YWWZUPa6uE247929DPrc3QbfpOMZ6TOSYOdgzmefZ/n55fxnyH80ttuGTIWQqdgCyUXJnMs+h0JSMN6vFe6KekJfl74cTT9KWFZY4xM2496H2N0QHQqxe2vV2toIwzihbZg1a1aNF8Hrr7/O5MmTdVKPFhsDrdXkLSoqYu3atQwfPpxu3bq1qoyOILs0m6d2PkV6cTq+tr4sHbsUOzO7Zh1ramTKyC4j2RS7idD40E5rDBhoG6ZMmcL+/cLXd/78+axbtw4LCzF4Cg0NZdOmTQC4u7vXuAzpin3J+/jjopiB/ODWVsqIyrIIQjz2vXh/5zfQ7/42rGUVCiO443/gGMCQ0NdwVyq5TBH7YrcyPrBzDmr0jebq2O95eYTBIGgDKpRq9lzIZN2pFPZdzESpFjFEpialGFsmArDxiafpYitWwlLzSzEzVjT5+zhYXeXWWn5FZP+O3w9GZnDfqtbF8egJkiTxwoAXmLVzFn9e/JNHez2Kp7Wn1n23x28HYIj7EJwtnDuymm1Ko8nH6uISCIOehOM/iLiQ2QdF32lAr7jtttu4++67+euvvygpKWn6gHaiw3TDfv/9d4qLi3nqqae0bl+zZg0rVqxArVbTp08fnnvuOWbOnNmssiMiIvD19dWYXS0vL+fChQsAODg40KVLF41jLl26VNPw/fqJoJz8snxm7ZxFYmEizibOzPeej1GZEdS516lUqhp9eBsbG7p21dQ0DrEIYROb2B67nZcHvIyZae1MZX5+PomJomP39PTExcVF49hz584hyzIWFhYEBmpKniUnJ5ObK5QBevTogbm5ec22K1euEBsbC4CrqyseHh4ax0ZGRlJZWYmJiQm9evXS2Jaenk5mpkjdHhAQgLV17QpIWVkZFy9eBMDR0REfHx+NY6OjoyktLUWSJPr27auxLSsri7Q0EeTm6+uLvb19zTalUlkzK25ra4u/v7/GsXFxcRQVFQHQp08fjIxqO7C8vDySkkRiGS8vL5ydNTv1sDCRqt3S0pLu3btrbEtKSiIvLw+Anj171qj6ABQWFhIfHw+IVSp3d3eNYyMiIlAqlZiZmdWLeUlLSyMrKwuAbt26YWUllvBnzpzJwoULKSgoYNu2bXTp0oU77riDxMREjcQi06dP5+LFi/Tp00ej3MzMTNLT0wHw8/OrWWkAqKioqFEpsrOzw8/PT+PY2NhYrly5AohMkXUTxGRmZrJt2zby8vLo1q0bg4YP4u3DbwPwSNAjWGVZEZYVhrW1NQEBmjEDCQkJFBSImeGgoCBMTasGG7JM2bY3MD8h/I8Lh7+H7YBHNI4NDw9HpVJhbm5Ojx6ambpTUlJqVCm6d++OpWVt4GNxcTExMTEAuLi44OlZdbO/6WmMHPyYtGMOK2yN+Xv/O4x37g+Otf/Jy5cvk5EhpEf9/f2vuY+oJjs7u8a1q0uXLjg4ONRsa6qPiI+Pp7CwEIDevXtjbFzbDetLH9FcHfvLuUVkJ0YDhj6ipX2ELMuEpxby+/F4Np1Np6iitr37edtxz0BvTOxO8+EJmS7mXShMyoM+whjwsrdgz8sjiE2+THa2cI/x9PTU6L+tTSA7MZrsxKo+ws0e1twLycfAxIrUEV+QXeoOYWH1+oicnJwaN0dvb2+NWWC1Wl0jjNCiPgIoKCggISEBAA8PD1xdXTWObU0fcbPHzQxyGcTJrJN8uPdD/jvwv7V9RBUXLlzg7yih2na1i1Bn6yO6mIg6JBQmEJcWR1dPzWM1+ogR/xEZmjMj4PQvJLuNMYwj0K8+QpIkVq9ezYMPPqizhGPQgcbAihUrsLe355577qm37cEHH2TSpEn4+PiQmZnJihUreOKJJ4iLi2PhwoVNlq1UKuupsciyXBOYoVTWj7pXKpU12wGuVFxh9q7ZxOTH4GTmxMs+L2Mr2dZIPtWlsXJ7W/fGysiKAmUBJzNOcovPLTXb1Gp1zbHa0k5XVlYiyzImJvXVilQqVc2xV3/X5pRb97s2VG71d61+rrtNW7nVbahttUhbudW09LepS93v2tLfpm65jV0vDbWhUqnUmnWxod/G0dGRVatWMWPGDMrLy8nOzmbVqlUax44aNYqHHnqIiooKrqax37zud23uby7LMt9//z0fffRRrQKEBIGvB2IaaEoPhx68EPIC4WHhGuU3VCcN9n1cYwgk9n4e0573crXjU0VFBWq1WqNTbs53bfS3CRxHSMp/IPlrjprIZP44Fufpq1D4DWtRufpyHepjH9EYMo1fh4Y+gpr9q4/NKipn9anLrD+VysWMopp9HMwVTOjpyBMje9HdTQQSzt8n8pD0t+lfr4/wsrdAUWqOZblo225uVtjba04YZCdVfZfibPj5Ebh8TiT1e2g9RcU2VFZNGFxNc9uwRX0ETbdha/uIZ3o/w8l9JzmQe4CHCh+qMQaq6x5bGEtKWQrGkjGjfUc3u1x9vA5tTWxxNXUlsyKTiNyIesaARh9h6QjDX4Mdr8PeD1BPHdxmfUTd79Tc/7Khj9DeR5ibm7No0SJOnDihtb4dQYcYAxERERw7doxnn31WwxKtZvVqTZ3ge+65hylTpvDxxx/zwgsv1JsduxpjY+N6F5IkSTU3zLpWdd1jqreXKkt5dvezROREYG9mz2c3fYZJodimrWNvrFxzU3MG2w1mX+4+/kn6R8MYUCgUNcdq6+xMTEyQZVlruUZGRjXHXv1dm1Nu3eeGyq3+rufPn6eyslKjjbSVW71d259YW7nVtOS3uZq637Wlv03dchu7Xhpqw7r71KWx32b06NGsWrWKZcuWsXfv3prOxcfHh5dffpnRo0ejVCq1nrOxcut+14bqW7eusiwzb948Fi1apLGf01gnTANNUVeoUWxXYDLJpNnXSw0HPoX9QvkrNfg58rvNwENLnUxNTVGpVC1uw6Z+GzfP2wjM3kx0aTzbFOU8+sudIlah74xml6sv16Gu+wgjY2MuXi5i6/n0evtoY+2pVLqYV+JtY4y9U/1r1NBHCJSyxPH0SnbHl3A2/SiqqjGEqbGCIZ5m3O5jRj83U7w8PfCuMgQqVBUcTj0MwCCHQRoz7NU0p48wLs3Ga+fLUBAnElI9ugHcgzGJjb3mNmx2H1FFU23Y2j4i2DmYENsQzhSeYXXCaob2HArU3ssOZgn5xhC7EGxNbZtdrj5ehwqFgm5W3cisyORi4UWmMKVeuRp9xOCn4MRyyI3FIfxH8gMea7DclowjqtvWxMQEV1fXZv2XDeOIxscRV69CdCSSfA0C59nZ2bi4uPDOO+9olRetZv78+Xz55ZecOXOG/v37N6vsP/74g/vvv59t27Zxxx21esBqtbpm6acaGxsbrT9oc6hQVfD8nuc5knYEaxNrVoxfQS+nXk0f2AhH047y9D9PY29mz55792jNS6DPhIWF1fzJr176NNB68vPz2bVrF8bGxvj6+hISEtJh5w4NDdX4H02YMIE+I/sQ6hwKRpD2cxq5e3NZs2YNDzzwQPMLPrwI/hEuRox5F269hgRl18C66HW8e/Rd/NXGbEyMQwIY8V8Y/qrea6brknKlivMpBRxPyOVkQh4nE3IpLGtAv7wJJAm8HSwIcLGu87AiwNUaJyvTVsebwdXBzPXpqGDmltRDlmXOJuez/nQKm86mabTrgC723DPQm8nBniRcitTa3x5OPczsXbNxsXBh14xdKKRW3OPyEuCXqeLZ1gse3QjOuhtwtCcXcy8yfbMQK1g7ZS09HXsSFhZGRUUFr156lezKbD4b/lmnDh6uZk3UGj46/hG3et3K92O+b/qAU6tg83MiYPy+X8FG0wUIKxeh1tYCDOOEtqetx7ctod1XBioqKli1ahUDBw5stiEAtcsv7dkIlepKXtn/CkfSjmBhbMH3Y76/ZkMAYLD7YBzNHckty+V4+nFu8bql6YP0CGtr65o/uYG2w97enpCQEJ207TfffFP7+ttvmProVJ7f/TwUQHepO+F7w2v2a7YxcPS7WkNg5Js6MwQAxvuN56NjHxFPBcd6TuPmCxtg34eQGysCmY0NKkMABaWVnE7M40RCLicScglLKaDiqtgAS1MjAl1tOJuS32R5Y4JcyS2uICbzCoVlSpJzS0nOLWXfxSyN/ewsTIRh4GJNgGutoeDjaImJUeN9vL4EMze3Hn88PZQjcdmsP5VCbFZxzTYPO3PuHuDF3QO8CXCp49vfQH9bnXV4uM/w1hkCWdHCEChKAwc/eHQTOPi2vJxOQg/HHtzhfwfb47fzzZlvWDx6MdbW1oTnhpNdmY2lsSXDvYfrupptQnXysXNZIj6gUUNbWQ573hWv1Ur4TYuog7UrvBTeon7SME64vmh3Y2DTpk1kZ2fz3nvvtei4VatWYWJiwsCB7aPIo1KrePPQm+xJ3oOpwpSvR31Nf9fmGyuNYawwZqzvWP64+AehCaGdzhi4OiDMQNvR0W2rltUkFSZxrOAYbve6YRdox2+Ov/HDXz8A4GzhzLIpy4j6KIoLFy5w9OhRiouLa4KgG+T4MuGHCsIndfgr7fxNGsfG1IbRvqPZHr+d3X6B3NztK9j6fyJ4Lj8Z7l8t/GdvMNLySzlRNet/IiGXixlFXL0W7GxtyiBfRwb7OzLYz4EgD1suXi5qlnTlS2MC6eNlhyzL5BRXEJt5hdisYmKzrtQ8UvJKhRGSlM/pJE0Dw8RIwtfJigAXK7petZpgay4GGc0NZs4rrmhXY6C59bjru8NUN7G5iYIJvd2ZPtCHoQFOGCnqD9q09QmyLLMvZR8g5DNbTPo5WHUXlGSDS094ZAPYejR9XCfn2f7PsjNhJwdSDnAm8wwhASH8kS1U0kZ3GY25cX035c5IoEMgpgpTCisKSSxMxM/Or+GdjUzBzhuKswFtjiAKsWrUwkzzhnHC9UWrjIHt27dTXFxcs5wRGRnJunXrAJg4caKGEsiKFSuwsLDgwQcf1FrWp59+SmRkJKNHj8bb27smgHjnzp0sWLCgXpR3WyDLMgv/Xci2+G0YS8Z8PuJzbvZo2xwH4/3G88fFP9idtJu3b34bEyOD9WygfVGpVSQUJhCZE0lUbhSROZFcyL1AcWUxHrNqBwKFFYUYK4wJcgzitSGv4WThhJeXV41qRllZWePGwMmVIqkYwK3zYMTr7fm1ms20gGlsj9/O9oTtvDJjD6YOvvDnY5B0BJaPhgfXgrP+yhrDtbnDqNUylzKvVA3+czmRkEdqfmm9/fydrRjk61A1+HfEz8nymlx4QPjKOlub4Wxtxk1dNfXHyypVxGdXGQiZ4jkuW7wurVQRk3mFmMwrQIbGcS42ZgS4WOFg2bJBijZkWUaWxVBIlmXUMsjINYaRXOd99T4yIKtrPy8obV6AtQwM9nNg+kBvJgZ7YGPe8r7/Yt5FLhdfxtzInCHuQ7TvVJBSNcC7iowI2P4qVFwBj37w8N9gdWNowvva+jKt2zTWX1rPotOLWD5uOTsSdgAwsWvnTDSmDRMjE3o59eJs1lnOZ59v3BiQJBj1JvxaX7xFoBbbDe6UNzStMgbmzJlTI38HsHbtWtauXQsISaxqmcPk5GR27tzJww8/rCGLWJeePXuyadMmtm7dSl5eHhYWFvTv35/ffvuN++9ve41yWZb59OSnrL+0HoWk4KPbPmKEz4g2P88A1wG4WLiQVZrFkbQjDPe5PpYnDegHSrWS2PxYonKjiMrLzrgPAAAgAElEQVQRA/+LeRcpVdYf/JkZmVGSWEL+xXzKksr4/avfGRk8ssZAvXz5MocOiVlgR0dHDfm2epz5FbZUuQMNfQ5Gv6M3N5GbPG7C1dKVzJJM9qfsZ2zAWHjyH1gzA3LjhEFw/2rwu1XXVdVKS91hypUqwlMLOB4vfP1PJubVG7AaKSR6e9qKmX8/Bwb5OeJi07QrgIOVaet07LVgbmJEkIctQR6agZtqtczlwrIqI0FzRSGjsJysIvFoLtMWi2BbjcF8qyPiWs/SRwYyrrd70zs2QrWL0FDPodpns5XlsHQkFGc2XIjCBB5ad8MYAtXM7jebTbGbOJVxikWnF5FblouDmQM3edyk66q1KX1d+nI26yxhWWFMCZjS+M4Bo8EzBNLDhIVbjaQQBmPA6IaPNXBD0CpjoFonuCl8fHy0yivVZcqUKUyZ0sSF3IZ8F/YdqyKFvOOCoQuY4D+hXc5jpDBinN84VketJjQh1GAMGGg1FaoKYvJjagb9UblRROdFU66qP1CyMLagp2NPghyD6OXUiyCnILradeXjDz/mrVVvATDvoXl8/fXX3H777Rw7dox58+ZRXi7Kevzxx7WqIAAQ9gdsfE68vmm2yHCpJ4YAiP/clK5TWBG+go0xGxnrOxZce8JTu0WipZQT8Ms0uPNr6K99pVKXNNcNZdGuaBKySzibkl/P39/CxIgBvvZVg39HQrrYY2XW8m7ey96C/c9050ru5Qb3sXL0wOMa3HIUCglPews87S24rbumYlxRWSVxVcbBv3E5/HkypcnyqhN16RrPNnBVqjYGGnQRMjIVAZ/F2UAD14xbLxEYeoPhbuXOfT3u49eoX/kp4icAxvmN63RCHk0R7BIMNCP5GDS8OiCrIXCCXvXjNzLaJvM6ig7LM6APrAxfyZKwJQD8Z8h/uKv7Xe16vgl+E1gdtZo9SXsoU5Z1Gn/FhIQEVCoVRkZG9ZJZGbg2mmrbMmUZl/Iuabj6XMq/hFJdX+HF2sSano49awb9vRx74Wvri5GWLJNz585l2bJlJCUlERkZyZgxY+rt4+Liwvz587VXPHw9bJgNyCKr5YSP9e4GkpCQQIipUGg6lHqI7NJskWnU2hUe2wwb5kDE3+I5JxZGvgEdoNLQ1tQdGDtZmTLYz5FBfg4M9nOkl6dtkwG5zUJZjvvvdzQ+89yKoMPmYmNuQj8fe/r52BPoZtMsY2Dl44Pp6WGDhIQkIRSlJJCQUEjClUmCqm1ih+r9FJJU83n1ZV33vUKSiEgt4M6q1Ye25Oo+IaM4g4icCCQkbvO+TftBTbp+AKPf1rv/aEfxVPBTrL+0vmZwFWLRccptHUU/ZxFEfCnvEqXKUiyMmzBCa1YHzoFcZ5J230fC5Wz8h2B+dXaYhjGME9qeH8N/5NGAR3Vy7hvGGPj9wu98ceoLAF4c8CIPBT3U7ufs69IXDysP0ovTOZR6iDG+9Qdg+khBQYFBJaCdqNu2JZUlROdFE5ETQVROFFG5UcTmx6KS66+m2Zraagz6ezn1wtvGu9kqI46OjuzatYvJkycTHR1db7uPjw+bN2/Gy0uLvFzkRlg/S8wihTwCEz/Ty0FGQUEBVpVWdLPsRkxJDFvjtvJYb6GpjYkF3POjyE588HM4+JlwHZr2ndimQ2RZJr2gjKOxOc3af0yQK+N6uTPIzwF/Z6tr9vfXWieFCenFCtzUstagVxkJqRVBh+2Ji40ZHnbt91sqtLRDW3B1f7s/ZT8gZn6dLRqJmWvQ9cMIPPre0K4fThZOPNLrEZaeW4qjiSOesmfTB3Uy3K3ca1yRo3KiGOA2oPEDtBmQQVMgagucWQVx+0V/6N+AAXoVhnFC23I+6zxro9cajIH2ZGPMRj449gEAs4Jn8VTwUx1yXoWkYLzfeH6K+InQhNBOYwwYaB9kWeZQ7iHCCsJILEsk/Ww6shZ1B0dzR41Bf5BTEJ5Wntc86OvevTvnz59nw4YN/Pbbb2RmZuLo6MiMGTOYMWMGFhZaBlIXtsG6J8RMUr8HYMrXej+bfpvjbcSUxLAhZgOP9nq0tt0UCjFb6hgAm1+EiL+gIBnu/w2sO8adQpaFn/z5lALCUws4lyqes680HDR8NdUKPu3Jq6+9xrm/Y9nxsPZAcgmZzD7P4KqHRmFnp9oYaFJFSJJELo01MzQ/l1WGgFDgyT5PkpKeQm/L3q2TZtVzJEki2DmYPcl7OJd1rmljAGoNyLQz4vneVZB4RKz65ifBz5Ph5rmin9TxJMmNRKWqkrePvF0vo3FHct0bAzsTdvL2EaGF/lDQQzwf8nyHnn+C3wR+iviJAykHKKkswdLEsumDdExQUJCuq3Bdsv7SepYkLdH4zNXCVQz8nXoR5BhEkFMQbpZu7TLbCyLD57333su9997b9M7RO+HPR4U2dfAMmLpYrw2B6uvWr8KP1WmrRZxFblT93CEhD4F9F/jjYRFHsPR2GP+R0GLXRisS8lSTUVjGuZQCzqcWcD4ln/OphWRfqR/rYaSQ8HG0JCG7WEspHYAsC1eB9DAywv5heOoy5k3VPhhQqmVOp6tYtHgzq4e1IEFdK2nLYGZ9rEfd/raksoR/0/4FaJ4mfmaU5nvDqkANliaWLByzUNfVaFf6uvQVxkB2M+IGQBiIo9+B7a/Vij/43QJzjsCON+D0z/DvdxCzC+76AbwaNjAM44S2Y0X4CmLyY/C10V0ekOvaGDiQcoDXDr6GWlZzV7e7eHXwq+02yGqIXk698Lb2JuVKCgdSDrRbwHJboi3tvYFro1xVXhOvMjVgKuP8xtHLqVfjbgC6JGa3GCyrK6HXNJi2BLTEIugT1dets6kzo7qMIjQhlI0xG7UnEvS/DZ7aBb9Oh/wEWPtYg+WqLF0wmh/RpG98Zp2Bf/WsvzY1HCOFRHdXa4K97OjrbUcfLzuCPGyJybzSLG3/a0athrx4SD8rXEzSw4QfcWkuAG7A5ECx9K8Grjb/jBUSb+0tZ2/SOhYt+rpd5J/r4mVvwZ6XR+g8A3F71aNuf3sw6SAV6gq8rL3oZt+EDG5WNOz9QPMzw6qABtf7vayvS1+gmUHE1QSMhOeOa35mZiOEFXpOgk3PQ3Y0LB8Dt78Ct78MWqTRr/e27Shi82P54ZzI+/OC/906q8d1awwcTz/O/H3zUaqVTPCbwDtD39HJUqEkSUzwn8Dy88sJTQjtFMaAgbZnXfQ6MkoycLV05a2hb2FmpMcZceP2C/UdVTn0nAz3LAejztVVTO02ldCEULbFb+PlQS9rz/Ph3J30e7dg+8NArCTtEpZqWSKi2AanIhVeDrWfZxaViQF/tbtPSgGZWgb+Cgm6u9oQ7G1HsJcdwd529PKwxdxEu2HlQQ6OUmGD3ytHbn6AHwAqJeRcqjPorxr4VxTV31dhDK5BbDqRxI7zlzmdrmbHmWRs/3pAwy89X2XBzthCQEVYWBijR7f/LLSXvUW7D/b1oR77k2tdhBqduFKrYONc8R/tOgrK8mpdPwyrAjcMvZ2EC1RGSQYZxRm4WbldW4GB42HuvyJhY8RfsP9jiA4VqwSuPdum0gZqUKlVvH3kbZRqJcPLVYzeuZArsxsRBWhHOtcdvpmEZYXx3J7nKFeVM8J7BB/e9qFWhZWOYoKfMAYOphzkSsUVrE2tmz7IwHVDqbKU5eeXA/BM32f02xBIOCzS1SvLhOTc9JVaZ4X0naEeQ2uC6w6kHGC0r/YBUo5syxuVz/Oj6WdatyskmT8qRhB8JpwspQ1h6cWEpxZwubBMy77QzdWaYC97gr1sCfa2p5eHLRamzet7HMxkNpu9ibNU0OA+WbIdFWZ3at+oLBduI9WD/svn4HI4aJOrMzYHt95CY7z64doLjM1YuGIwJ08mi+9kblMv6NBWUcpIPyP2Jqh06uN6vaFSq2riBZqUoj76rXBxM7OFqd9A9iVN1w8DNwSWJpZ0t+/OxbyLnM8+f+3GAIhM7TNWilWCrf8nVhB/uB1GvyXiCfR8hbgz8fvF3zmXdQ4rEyveLDdBIk1ndbnujIELuReYs2sOpcpSbvK4ic9GfKZzfeFAh0D8bP1IKExgb/LephOE6JiCggJkWUaSpAaTxRloPn9e/JPs0my8rL0Y5TqK/Px8/WzbpGOwegZUlkC3MXDvL2DceZaCr75uJwdMZmX4SjbEbmjQGADYow4hTN2VYCkehVR/cPuB6Y9w4EcACmVLcmQb8kxtKDd1RGHljKWDK/bOHri6e2JmawyWSrAErIzBpPmrkV5OdlS4+yNnhCFpCSyXkbBz98fUyQ4qSkSm2bquPplRwq3rakytwb2v5sDfObDB1Z4BAwZw8uRJAJYtW8a8l16i0i0Y44zzqM3sMSrPZ/XdFgxaUUZwcHCzv58B7VRftxF5EeSW5WJjYsNAt4ENH5B1EfZUuQeN/xDsvMXjatcPAzfEvayvS18u5l3kXNa5thUpCZ4OvrfApudEDMHON+HidqE45OB3Q7Rte5J6JZVFpxcBMH/gfNyNHFGvn6Wz+lxXxkBcQRzP/PMMRRVFhLiG8PXIr/ViFrbaVWhJ2BJ2JOzQe2MgISGhRjKsX79+uq5Op6a4spgV51cAYlUgNSlVt21bkFKVqOgqMqNgy3xQlkDXEXDfr+2iH19Nan5pm/teX33dTg2YysrwlRxKOUR2STbG2JKaX0pafhlp+aWk5ZcSmVYISHyunMEvpv+rX0+1E2ZSJQ7SFYxQYyuVYCuV4E8GKIGCqkdCA5UyMgNLJ5EF1tIJLJ2r3lc9a7x2xnT0G/XVYaqQkDG1tIPvhkL2RU05yWrM7TUH/R79hZxqCwK/n3nmGZYuXQrAa++8xi7VLtKci5js6E76uhJe7K0i2M2I7U/54OaipzEvnYjq63Zr1lYAbvW6teEJLJVS5MlQlUO3sRDycAfWtPNxI9zLgp2DWRu9lrCssLYv3NZDZLE+9ZMIME48DN/fAuM/JMGoH5VK5XXdtu2FLMu8d/Q9SpWlDHQbyPTA6YAE7rqbXLlujIHkomRm7ZhFblkuQY5BLB69WK+Ueyb4CWPgcNphCsoLsDMzWNI3Amui1pBXnkcXmy5MCZhCxPkI3VVGWQ5LRzaeSEphAtN/aldZudT8UkZ9tq9JVZY9L49otkFQoVRz+YqS9IIK8ioqOJB9ibSCUixlf0qIZ/j3X1KcNazB4w+o+xKm7kpvKQFjSY1SVhAh+zG1YiEgseXZofRxlKEkB0qyhUFV/bokt+p91WfFVZ8ry8SgrShNPJqLZKSZFKgu8ftrX1u5iMF+3cG/fZdrdhMZMGAAs+fM5s/oP3Gd5kqSTRIAf1kZc/F0OoejZE4+bU1f6xw4+AUMf+WazmdAcKbwDNCEi9DRbyD1FJjZwZRFBpcgA/RzEQPxyJxIlGolxoo2HtZJEgyaKSaJNsyFpCOw+QX83YYSHzwPTNzb9nw3AJtiN3Ek7QimClMWDF0g4lnLi8BGd/kwrgtjILMkk1k7Z5FZmkmAXQA/jP0BG1MbXVdLgwD7ALrZdyMmP4Y9SXvaPfvxteDh4VGTWdBA6ymsKGRlxEoA5vSfg7HCWLdta2QqJDKLsxE6MVpw6wUW9u1ajbziikYNAYBypZq84gq87C2QZZnc4grS8suqZvbFI72g9n3WlXI03dfzADBx6Iu5ezyy9QnIGoaztSme9hZ42lngaW+BJMmsOJTA1asDxpKazytnUJXHVvjJWtmJGX4Cm/dFK4rrGA1Vj3pGQx3joixfHNeQIeA9RLhvVQ/8bdzbZTB4KPUQaePS8LxJ3JjKUstQmCgwdTXFdpAtpnk+5A17GKsT78O+D8F3mJAnNNAqPDw8SClKIaUsBSPJiFu9btW+Y+YF2PuheD3hw1bL3d5I3Aj3Mj87P2xMbCiqLOJS3iWCnNpJ8tPRHx7fAkcXw56F2GYcJTg/kqLh7wGGlYHmkl2azScnPgFgbv+5+Nn6wvl1YuVFVQGj669QdwTXhTEwf998Uq+k4mPjw7Jxy3Awd2j6IB0wwW8C3579lh0JO/TaGHB1ddV1Fa4LVkWuoqiiiAC7AO7wuwPQcdtqy0B5NaPf1pvZxjf/DqewrJLU/NImjQcQqwle9mKQ72lvjqe9BQ7W/nwVvQ3M09k4349+rr01jglPLagyBmpXB/op4ghTd+WAuu+1fQFTK/FwaKZ2tEop5D2Ls0V+h9wYof8vKcTg/8md7frbxObH8unJTzmcehgAezN7Huv2GEX5Rewv3k8ssQyfPZy/7vtLKN1UxEHYGlj/JMw+JNydDLQYV1dXdmbvBGCg20Dtq8Y17kEV0H0c9H+og2vZObkR7mUKSUGwSzBH0o5wLutc+xkDICZFbnlBTEr8/QyKy+ew2/kipB0QmektHdvv3NcJHx37iMKKQoIcg3jMeQj8NBkSqySl3fvrrF7XhTGQXJSMu5U7y8ctx8WyYzKJtoYJ/sIY+Df9X/LK8vTWaDFw7eSX5bMqchUgVgV0qWalQXUGyjpSkYBeJis6m5Kv8d7VxgzPKmnH6sF+7Sy/OY5WplrlGM+VjWRn4k5CE7bUMwY0kfhEeR8LjH/hE+V91KwKdBRGxmDtKh53fFxrtMnqdtWOzyvL47uz37E2ei0qWYWxwpgHez7IM/2ewdbUFgbBA8UPMG7dOGLKY0gvTsfT2hMmfQapJ4Um+d/PwINr9TopnT6zL3kf0EiisSOLIO20wT3IgFaCnauMgexz3Md97X9Ct17w1G448Ckc/BzC1wsluqnfQvex7X/+TsrupN3sTNyJkWTEu7hgvHS4WAk2toDb/g+GPgelzc9G35ZcF8aAg5kDX4/+Wtyg9BhfW1+CHIOIyo1iV9IuZgRqDxQ00Pn5KeIniiuL6eHQg7G+etQ55sYJd6Grg087MFlRc+Uo543pzhB/J7zsLXCzM8PMuHUG1dRuU9mZuJOtcVuZP3C+Rs6Bq7PKHlYHM7biU43jOyK7bT2qjbZ21I6vVFXy24XfWHJuCUVVeQdG+Yxi/qD5+Npqrma4W7kzyH0QJy6fYFv8Np4Kfkqsesz4CZaNEmojRxbBrfPavJ7XO4UVhZzKOAWI/AL1yIiEfR+L13d8DLb6fZ8z0PG0KvnYtWJsCqPeEBLUfz8j8pmsng4DZ8K498HMIKFel8KKQj74V6iAzSwuJyjuV7Gh52SY8JGI91KrAYMx0Go+H/k5fnZ+uq5GsxjvN56o3Ch2xO8wGAPXKTmlOay5sAaAZ/s/q5Nkd/UozYP9n8LxpXXkJyVA7tBVgRMJuby7qXlB1KOD3Ojjde2B9sM8h+Fs4Ux2aTYHUw8yqsuomm36kt22HpIkNOPbQTtelmX2Ju/li1NfkFiYCEAPhx68OvhVhngMafC4Sf6TOHH5BFvjtvJknyfFKoxbb7jjE9j8AuxeCF2GQpeb26yuNwKHUw+jlJUE2AXgY+ujuVGlrEouVgHdx0O/B3RTyU6ISqWioKAACwsLLCx0n7CuPenrLIyBhMKEjhco8R4IzxyA3e/Bse/h1EqI2yuy1vsO7bh66DlfHHiTrNIs/CoqmZ2ZDo4BMPET4XKlB+jBKOXaCbAL0HUVms14v/EAnMg4QXapFolHPSA8PJzTp08THh6u66p0SlaEr6BUWUofpz6M8Bmhsa3D21ZVCf8uga9D4N/FwhDoNgYmfwXVWvYdsCpwLiWfR388zowlRwlPazjD7rXQUNsaK4yZ3HUyABtjNtY7zsvegj5edg0+dJb5NmCk0I4P0DJb3Eou5l5k1s5ZvLj3RRILE3Eyd+LdYe/yx+Q/GjUEwsPDcS1wxVgyJiY/hui86NqNAx6F4BniOlr3hFBXMtBsNpzfAEBvcy0ubIe/EqtD5gb3oOaSnJzMSy+9hLOzM05OTlhaWjJw4EDWr19/3SbJsze3p4tNFwDOZ5/vkHNq9LemlmLV6tFNYOcDeQmw8g7Y+RZU1k/QeENRVsCxjU+xPnUvAAvyizEb9TbMPao3hgBcJ8ZAZ8Lbxptg52DUspp/Ev/RdXW0olKpUKvVqFQNqJoYaJDMkkz+vPgnAM+FPFfPh73D2laW4cI2+O5mCH1NrAy4BMFD6+Hh9TDwceF+Au3mhgJw4XIhT/9ykju/PcyB6CyMFRIT+rSPFF1jbXtngMjaeyDlALllN95gNbs0mwVHFnDvlns5dvkYpgpTngp+iq13b+Xu7nc3GdOiUqmwkCwIsRXXzNa4rbUbJQkmfwlO3aAwVQS6XqeDrramUl3J2YKzAPS3vSp4sK570IT/Cc13A41y6tQp+vfvz6JFi8jPr405On36NNOnT2fu3LnXrUFQ7Sp0PqtjjAGt/W3X4TDnMPR/GJDhyNewdISIUbvRkGU4+xul3wxiQZYIEL7PyImBs46I+IB2zOPTGgzGgA6oXh0IjQ/VcU20Y25uXvMw0DKWnVtGuaqcENcQhnnW17XvkLZND4Ofp8DvD0BOjNCjn/yVUHzpXjUTUe2G4tyjzd1QAOKyrvDCb2e4Y9FBdkZmoJDg7gFe7Pm/Ebw1uRdmxo13Pa3x02+sbbs7dKe3U2+UspLt8dtbVG5nplxVzorzK5j892TWX1qPWlYz3m88m+7axIsDXsTKxKpZ5VS363A3EeC6NX4rKnWdQYCZjYgfMDKD6FAhP2igSc5knKFEXYKtsS29HeusDKgqhVGlrhQ+2f3u110lOwlXrlxhypQp5OYKY9/c3JyhQ4fSpUuXmn2WLFnCd999p6sqtivVxkBYdscMvBvsb83tYNpiuP83ce/JihJxRfs/FW5vNwKXz8OPE2DDbBabVZBiYoKbqT0v3bsF7H2aPl4HSHInM5PVajVFRUUan9nY2KDoRCoWl4svM3bdWCQk/pn+D25WbrqukoE2IO1KGpP+noRSrWTFuBWNul20C4XpsOd9OLsakMXAbOizIqjT3LZDqpCcW8LXuy+x/nQK6qqeZVJfD+aN6U4319rcH+2Rgbgp1kSt4aPjHxHkGMSfU/5s07L1DVmW2Zm4ky9PfUnqlVQAejv15tXBrzLAbUCryy1XlTPyz5EUVRRpv8ZPrICt80FhDE/sAO9B1/I1rnv+d/x//Br1K1MDpvL+re/Xbtj/Kex9X2SUnvuvYVWgGSxZsoQ5c+YAMHToUDZs2ICrqyuyLLNy5UqefPJJAPz9/bl06dJ1l3sgIjuC+7fej62pLYfuP6RVWa3DKc6GLS9B1Gbx3msgjHlXTB40hJVL582hUZoPez+AE8tBVhNuactDbg6okVk8ejG3e9/e6OG6HN9eFwHEnQ13K3dCXEM4k3mGnYk7eaTXI7qukoE2YOm5pSjVSoa4D+lYQ6CiGI58A4cXQWWJ+KzPdBjzjlAo6AAyCsv4dk8Mv59IolIlrIAxQa7MGxtIb8/6wWxeVRKhHclE/4l8evJTonKjuJh7kR6OPTr0/B1FRE4Enxz/hNOZpwFwtXTlpQEvManrpGsOZjczMmOc7zjWX1rPlrgt9a/zQU9A/AGI3ABrZ8LsA2BhkFDWhizLNZKiGipCl8Nhf1XioTs+MRgCzWTdunU1rxcvXlyTY0CSJJ544gl+//13/vnnH+Lj4zl9+jSDBw/WVVXbhUCHQMyMzCisKCSxMFE/RFWsnOHeVXDuT9j2isie/fPkxo+xdoWXwvXOjaZR1GoI+w3+eVskkQQqe03lbZM81IUJTPSf2KQhoGs6z3T6dUaNq1CCfroKGWgZyYXJbIgRgYDPhTzXMSdVq+HsGvhmIOz7SBgC3kPgyV0wfUWHGAI5V8r5YGskt3+yl1X/JlKpkrmtuzN/zx3G8scGazUEdIW9uX3NoGtjbP1A4s5OZkkmbxx6g/u33M/pzNOYG5kzp98cNk/bzJSAKW2majWp6yQA/kn8h3JVueZGSYI7vwYHPyhIgo3PGeIHGiCuII6UKymYKkwZ6lmlulLXPajHROh7r24r2YnIyckBQKFQ0L9//eRNQ4bUGq7VrkTXEyZGJvRy6gXAuewOlBhtCkmCfveJgFn/EU3srABbLyF/3VlID4MfxwvVr5JscA6ERzbwY49buFSYgIOZA68NeU3XtWwSgzGgI8b5jkNC4lzWOdKupOm6OgaukSXnlqCSVdzidQshriHtf8L4g7BshBg4FKWLgf/0lSJLrU/7z3gVlFTy2Y6L3PbJXpYdjKdcqWaQrwO/P30zq568iZAu+jkbPDVgKiACYCtrJFY7N6XKUr4P+57Jf09mU+wmACZ3nczmuzYzt/9cLE0s2/R8A90G4mbpxpXKKxxIOVB/B3O7qvgBU7iwBY790Kbnv17YmyzURYZ4DKn9jQ59CZfPCfegyV8a1INaQPVKgFqt5vjx4/W2Hzp0qOa1i4v+Jie9FoKdg4EOzjfQXOy84NENMHhWIzu1b4LFNqU0D7b+nwiQTjkOJlYw9j2YfZhYpy78cE70e68NeQ1Hc/3PzGxwE9IRLpYuNUl8diTsYGafmbquUg0pKSmoVCqMjIzw9vbWdXX0nriCOLbEbQHguf6Nrwpcc9vmxIqlyAvifJjZCmWCm2aDSfsHfF8pV/LT4XiWHoijsEwEgwV72fF/4wIZHuiiUz/V5rTtMK9hOJo7kluWy+HUw/WkX3WNWq1mw4YNLF26lHPnzqFQKLj55puZM2cOo0aN0mhftaxmW/w2vjr1FRklGQD0d+nPq4NfJdgluE3rdXXbTuw6kZXhK9kSu0V7Uj3PEJF4aPursPNN8BkCXq2PVbgeqXYR6m/dn8TERMzzL+G2/xOxceKnYNM+qlvXK/fddx87d+4EYPbs2fz9998YGxtTXl7OL7/8wv79+wEIDAzUunJwPdCRycdadS+TJHFtJx6GzMj6281sIeUUIIn4Agv7Nq1zm6BWi7i8Xe9AiViNos89or+z9USlVvHOkXeoVFdyu/ftTPSfqNv6NhODMdBaClJEcExDNCMIZoLfBE5cPkFoQqheGQM5OTlUVr1qNYYAACAASURBVFZiYmJiMAaawfdnv0ctqxnpM5I+zn0a3bfVbVuSK1K/H18KaqVIFDZoJox4XfhltjNllSpWHU3k+/2x5FYF/vZws2H+uEDG9XLTi2C15rSticKEyV0n80vkL2yM2ahXxkBJSQl33303O3bs0Ph8/fr1rF+/npkzZ7Js2TKMjIw4m3mWT098WuMO4GnlybyB8xjvN75dfour23Zy18msDF/JwdSDDSc5GvI0JBwUwYPrZorEROb64zamS3JKc2oGbN2NupOdkU6vw/8R7kE9J4u8DQZaxAMPPMB7771HYmIiZ8+epVu3bvTo0YOMjIwaFyKA//znP51KcKQl9HPpB0B0XjSlylIsjNsvLqvV9zJJgnEL4dd76m8rL4R9H9a+dw4Er0FCiMB7ELj2BiMdDlvTzsDWlyH1pHjv0lMYN/618QC/X/ydsKwwrEyseOvmt/Ti3tgcDMZAa1CWw9KRUJzZ8D7NCIIZ4zuGD499SGROJEmFSXSx7ZhgTwNtx8XcizVxH8/2f7btT6CsEMoE+/8HZVW62d3HwdiF4Nqz7c93FRVKNX+cSOKbPTFkFgn/cH9nK14a053JfT0xUnSOjq4udwbcyS+Rv7AvZR/5ZfnYm+vH7NOsWbM0DAEnJycqKyspLBRJ2lauXIl9F3uMRxqzPUHIo1oaWzKr7yweDnoYc+OOkwIOdAiku0N3LuVdYmfiTu3Z1CUJ7vxW+NTmJcCmF4T7UCe5ObYnB1IOICMT5BiEk6kTzhErsCi4JIKtJ31haKNWYGFhwdatWxk7dizp6emoVCoiIzVnn1977TUef/xx3VSwA3CzdMPFwoWs0iwicyIZ6DZQ11XSTsBosXqYfk4kK5SMRJ6SgY+LIOPUk6LPyI4Wj7A14jhjC/DsLwyDaiPB1qv9/y8lubBnIZxcCchgag0j/iNW5I1ManZLu5LGotOLAJg3YB7uVp1ndc9gDLQGI1Mx61+cDai17NC8IBhHc0eGuA/haPpRdiTsYFbfxnzpOo7u3bsjy3KnsWh1yXdnhWb1ON9xzVKnaXbbyjJc2Ar/vAW5ceIz115iKbJb+yQIq4tSpeavM6ks2nWJ1PxSQCgAvTimO3eHeGFspH8za81t2x6OPQhyDCIqN4pt8dt4MOjBDqphw0RHR7Nmjbjh2djYsGrVKqZMmYJKpeLnn39mzotzcJzgyA6vHSgSFEhITOs2jedDnsfFsv39n7W17ST/SXyV9xVb47ZqNwZALPNP/wl+HCcUhk6ugMFPtXt99Z26KkKBtuWYx6wWGyZ+BjYGqenW0rt3b8LCwli8eDErV64kKSkJMzMzRo0axfz58xkzRn8yvrYHkiTR16Uvu5N2cz7rfLsaA9c0TpAkERtQvTogq2DCh5oZea9k1RoGKScg9bRYOUg6Kh7V2HgIl6JqA8EzBMysm1ePpjw8LJ0gdjfsehdKq4LOg2eIybirVL5kWea9o+9RqixlgOsAZvToXKt7BmOgNVx9Idej+UEwE/wncDT9KKEJoXpjDFhatm3A4fVKRE4Ee5L3ICExt//cZh3TrLZNOws73oDEqoA3KxdxPYU8Ak1kim2KpvT97SxMOJ2Ux1e7LhGfXQyAq40Zz4/qxr2DfTAz1l9t7pZct1O7TSXqeBQbYzfqhTFQbQgAvPnmm0ydKgKdkcBpuBPBXwVTaSoCnn3w4fPJnxPkFNRh9dPWtpO6TuKr019xKuMU6VfS8bBuQALTu0pbfOcbEPpfoXjl0beda6y/lKvKOZouBjMjPG/BYv1c4frXc7LwPTZwTbi4uLBgwQIWLFiASqVCoVDcUBNb1cZAeysKXfM4oXp1IO2MeA64apLL2gV6TBAPEL76OZcgpdo4OCmydBelixi66jg6SSEmzqoNBO/Bwt3o6ntnczw8FMbivwmizImfgt+tWnfdHLeZw2mHMVWYsmDYgjZTb+soWmwMFBUVsXDhQs6ePcuZM2fIzs7mnXfeYcGCBRr7Pf744/z888/1ju/RowcXLlzQ+KyyspIPP/yQlStXkp6ejr+/P88++yzPP/98S6vXcdRcyGeBOtJ5kpG40V19YTfA6C6jWXh0IdF50cQVxNHVrmv71NdAm7P4jMiyOqnrJALsA669wMI02L1Q6BUjg7F5bdKwxpK0NJPU/FJGfbaPcqW21SyBRO3V7GhlypzhATx8sy8WpvprBLSGif4T+ezkZ0TmRBKdF02gQ6BO65OSklLzeuzYsahlNcfSj/HlqS+Jyo0CUyjPKOfyH5e5/577O9QQaAh3K3cGuQ3iZMZJtsZv5angRmb8hz4LCYcgejusfRye2d8m13Rn5Fj6MUqVpbhZutEzfAtknAcLR4N6UDtwvSUWaw7VikJhWR2TibjVSBKMfge2vyaem7r2FQpw6SEeIQ+JzyqKhRtiyglhJKSegsJUyAgXj9NVY1BTG/AKqXItGiyMhOq4zgY9PBCGgIk1jHoDhszScAmqS3ZpNv87LnKDzOk/B387/1Y0iG5psTGQk5PD0qVL6devH9OmTWP58uUN7mthYcGePXvqfXY1c+fOZdWqVSxcuJDBgwezY8cOXnzxRYqKivjvf//b0ip2DJIkLqy0M5qfy6oWSWPZmdkxzGsYB1IOsCN+B3P6z2mHyhpoa85mnuVg6kGMJCPm9GviN2tqKdLEEsLXweGvQSlccgi+F0a/3aapy/OKKxo1BEAYApamRswdEcDjt/hjbXZ9Lh46mDsw3Hs4u5N2sylmEy8Pflmn9bGzE4G1Zt5mLD6/mKTYJNKL0wGwNrEmIDOANW+sQVbK2M3UnyDcyV0nC2MgbitP9nmy4RlYSYJp38GS2yA3Fja/BPcsvyEHv9UuQiMc+yAd+lx8OOkzEWdmwMA10tupNwpJQWZJJpeLL+u333rASHiuvgxsszG1At9h4lFNYVqVYXBSKBOlnYGKIpEMMb6OFLJdF7D3pkFDAERg8N3LmlT2+vj4xxRWFNLTsSeP9X6s9d9Hh7T4Tu/r60teXh6SJJGdnd2oMVAti9cYERERrFixgg8++IBXXnkFgBEjRpCTk8P777/P7NmzcXTUQ43W1NNw6qeqN3XnU4Hwv8D3FjBpXiT/BL8JHEg5QGhCKLP7zdb5kmZxcXGNL6CVlZVO66KvfHv2W0AEozYa+N2cpUhJAXJVh+RzM4z/ULhW6IgfHxvMzQFOOjt/a2npdXtnwJ3sTtrNlrgtvDTwJYwVujF80q+kYzHcgm4O3TD3MeeYfAyKhREwJWAKoy1HM2nkJGSl+G6TJk3q8Do21LZj/cbywbEPiMmPITovuvG4GUtHmP4jrLxDGL/+t4mAwRsIWZbZnywkLkfEHAW1EmXgJMp8xyEVFxv62zbmRryXWZpYEugQyIXcC5zPPt9uxoDetq2tJ/S6UzwAVErIitI0ELIuiKSIBUkNl+PUHR7d1OSExZ6kPexI2IGRZMS7w97FRKF99UDfabFTkyRJbTpY3bBhA7IsM3OmprTmzJkzKS0tJTRUDzP0lubB2seEDJz3EDQMASShQbtibG3gZxOM9BmJqcKUuII4LuVfapcqt4SYmBguXLhATEyMrquil5y4fIJj6ccwVhjzTL9nGt+5Oti8sb+arBazFDN+hidCdWoIAFibd87VgJZet7d534ajuSM5ZTkcSTvSzrXTpKC8gLXRa3k89HHGrR/HxryNmPuYo65UU3iqkIxlGXhu9OTo+0e5dcCtNdKId911F/7+Hb8E3VDb2pracru3kNXbGre16YK63CRWvEC4B2REtHVV9ZrI3EgySzOxkIwZfPkC/8/eWYdHca0N/LcaN2JEiBIsBNfiTgkUCtRuhXpLqbe38rW9pULl1uitUSrQUscpobi2SCFQIEgIRIi7y2Zlvj+GbLLJxrPR+T1PniQ7M2feeffs2fOe8wq2rkT3fJCL0dHSeGsBuup3WWsUH+swulUooXuYmIp77mew5Ci8cBXu2gyTXxE9PMxx/Tv1GgIF5QUsO7oMgEWhi4wVoDsiFv3WLy0tpXv37mRmZuLl5cW8efN4/fXXTVb6o6KicHd3p3t3U+t1wIABxuP1ce7cOfz9/XF0dDS+ptFojLEJLi4u+PmZrt7GxMRQUlICwMCBA02OZWVlkZycDICfnx8uLpXVVPU6HUXf34FT3lW09j6o/vUb/HCjMQgmNfQh3A68gCrtLMKXE5DN+wL6zgYgLy+PhIQEALy9vY1VEO3V9oz1GcvexL18f+x77gq6i169TH2YExMTjSXUe/fujbV1ZRrBoqIirly5AohVGL28TAP5zp8/b8wH3K+faWdNTU0lI0NctQ4ODsbevjIKXxAETp8W/Q67detGjx6mLiuXLl2itLRUzGAwwDQgMDMzk5QUsbKyv78/zs6V6Rt1Oh3nzomTAEdHxxqTm9jYWAoLCwHo37+/id9nbm4uV6+K1ryPjw9ubqY59ivktbW1JSQkxOTY1atXyc3NBaBPnz5YWVWmfS0oKCAuLg4AT0/PGv3x3Llz6HQ61Go1n8aLuwILQhbgY+9DSkoKmZmZAPTs2dNklaSktJS0gNsJqu5OVoVs/3DShjxLaKhpUaaMjAxSU0VXkYCAAKMrCUB5eTkXLlwARBeTgIAAk2uvXLlCUVERAL37hrL/Uhbf/hlXqwxVuXTpEvosNfb29gQHm8ZCxMfHk5+fD0Dfvn1RqyszZuXn5xMfHw+Al5eXsSJoBVFRUej1eqytrend23QFOSkpyTjhDQkJMQlOKy4uNn7huLu74+3tbXLtxYsX0Wg0aLU1KwqnpaWRni4W5AoMDDQZIwxaAyMcRrC9bDs/nfnJOKmtoMljhF5vHLccHBwIChLjgMp0ZexP2s/aqLVE5kSiF/TGa4Z5DmOEwwiW3bWM5Fix3Q1sMLlnWFgYTzzxBKdPn8bGxqZVx4gK3RoMplvqZWVl9Jf3Zw+iu9WTQ580CZwzO0Zc97gYP3B5F2VrbiVm0kp6BPftNGOElZUVffqYpv2tGCPWp64HYExRIVYCMOt9tDpn0OnQarUkJSXVyNkeHR1NWVkZCoWC/v1N65i01BgRFhZmkns/OzvbGMfi6+uLq2vlTqHBYODs2bMAHWaM0Ol0nD59GqVSSWhoqMmxusYIi80jahkjKoiLizOmFA4NDUWprJyq1TaPqODMmTO4lIr3qm4MtMU8oqysjOjoaKAdzSNK9VwtdAGnafjMW4TbxpvE2APBADIFJU4hxBS5YRsTU+cYsb5gPRmlGfg7+rN44OJmjxHZ2dk1+lhrYTFjYODAgQwcONA4eB04cICPPvqIPXv2cPz4cWNnyc7ONusGZGdnh1qtNikWUhs6nQ5BEExeEwTB+AWm0+nMXmNu8gDiYFfbl5/s2Oc4pf6JQa4iZezb+Nu6mATBFBl8yRi3gqCTb+KQGwW/3i5++U151aRdvV5v0u7MwJnsTdzLkdwj3Ka9rYZMer3eeG31Z62rXRADtGt71qrtVjyru7s7er0eg8FgnOSaa7dCh+Z2isy1W4Gl3puKZ21Iu3X1l9p0qNPpiCqK4mTGSdRyNQ+EPVDjWc21m+MyCE+n3tjmX0JWbRep1Kkncf2fQl7zlnW2W/VZzclbXl5OdEYJ+xJKObp5L7kl5vVpDlFPMrPvQVWZqlOfDsvLyzEYDGaD+urTYUP6t1wux93d3aT9+tod7Tia7ZnbOZZ1rEbxrJbohxqthsMph4mIjWDP1T0Ua4uN5/Sw7sH8PvOZ3XO2cSt/wu8TWLp0Kdu2baO4WDzX3d2dBx54gOeff56YmBjjF3JjdNjcMaKCql/GFfcJtQnFRm5DtiabE2knGOE1wnjc7Bghl8ONK9B/Nhrroqt4nfoAQ+DKGu121DHCXEGrivfmZJ5YrGhiSQn0mwv95+McH09WVlad7Wq1WrPHmjNG1PWeN1SH7X2MqPguy8rKQqvVmtVRQ9ttL/2wIZ/lAKsAAM5nn0dr0BpdV1pyjKjQrUKhaPD3fbucRwhCjTSnSb3uRqvT1dnuheILbIzfCMDS0UuxVlqjETT16rCuMcLc/VoLixkDTz31lMn/06ZNY/DgwSxcuJCvvvrK5HhdbkcNcUlSKpU1zpPJZMYvzKpWddVrzH2hghjrUHHM5E27egzZntcASAl7DL2HuBVXNQhGGRcHjt7Ejv8fYWnrkB/7HA7/D5IjUUz/yNhu9cFugu8E1DI1GeUZJGoSCcV09UKhUBivrf6sVeU1N4hWHDP3vFXbrXjWilWVsrIy8vLyam23Qofm3iNz7VZgkffmGg1tt67+UpcO18WvA+Dm3jfjaedZ41nNtqtWk99jMnb50dVaFcga/CgqtdrsPetqt6pMVa/NLNSw+Z9kfjySTFyOxvi6h4MV40LcWX8yqUY71anQU339pTr16VCtVqPX6+tttynvjcFgQKlU1lh1qq/dYIdg/Kz9uFp2lT/i/uDWPrcajze1HwqCQKI2kcO5hzl26Ri52lzjMW87b67rdh3DbIfha+NbY9XP29ubl156iWeffRadToebmxuBgYEmn2FBEMz279YYI6qvQspkMmytbBnpPJL9OfuJiIswMQZqHSPs3CicsRynjXfglrSLkgvrYcwDJu12xDGi6jlVUSgUFAgFJGgSkQkC4wQbsbgY4ipsxUp6be1WTLrMtdvYMaLqsebqsL2PERXfZcXFxWg0mkZ/btpjP2zIZ9lX4YutwpYSfQkxuTFG95WWHCOq7r6kpqY26Pu+3c4jqqU5LfUejUomq7Vdg8LA6pTVANzc62aGdR/WoGetb4wwd7/WQiaYM5UbSFZWFu7u7mZTi5rDYDDg6OhIeHg4v/76KyCWEN+zZ49xi6mC4uJi7O3tefHFF3nrrbdM2qjY+qnAwcHB8uXFi7Phy3Fi2qr+C2DBNw3LhHF+M2xaIkaz23nATatqzVP7zP5n2Jmwk3v638PTQ59u4QeQaC4HEg/w6N5HsVHasG3+Ntxs3Oq/CMTtx1XhYh+ooCIF7QP7mp1RRaPTs/dCButPJrEvOhO9QfxIq5VypvfzZOFQX8b2dONiWiGzP/mz3va2PjaW/j7tJ2ONpVlzfg3/Pf5f+rv25+fZPze5nasFV4mIi2Bb7DbiC+KNrztZOTHDfwbhQeEM8hjU4fJPN4Tjace5d8e92Kvs2X/LfqwUtVdeN+Hge7D3TTGj1gP7WqWqdlvxy9H3WBb9PYPLyvh+7HsQOq+tRZLoxDy06yEOpxzm5ZEvc0ufW9panPbPlX2ih8f174oLvHXwwYkPWH1uNZ62nmyauwl7dQOLnNVDm81vaYOiY4IgmDxYWFgYv/zyC2lpaSb+VRU+idV9JNsEgwE2PigaAq49Yc7HDZ/A9ZsLHqHw252QcR6+myMG0I15skYbMwNnsjNhJzvidvDUkKfaPKuQRCUGwWDMIHRrn1sbbghkXYY180VDwKOf2Aeg0SloqyMIAlHJBayLTGTz6RTyqrgBDfZzZsEQX+YM8MbJtnIFwsVOjZVSXmd6USulHBe7uitndzZmBc7iwxMfEpUdxZW8K42qGZFdms32+O1si91mUuTHWmHNxB4TCQ8KZ4z3GFS15KfuLAz1HIqnrSfpJekcTDrINP9pDbtw7DMQ/xfE7hPrDzywF9SdsOihTsP+cz+CEiY6BEuGgITFGeA+gMMphzmTdYZbkIyBemlgmtNzWef4/vz3ALwy6pUWMwTamlY1BtatW0dJSYlJutG5c+fy8ssv89133/H8888bX1+9ejU2NjbMnDmzNUU0z58fwuXdYhGom79vfLEct55w/27Y+jSc+QV2L4XEv2HeF2BT6YM7zmcctkpbUopTOJN1hoHuA2tvU6JV2XN1DxdzLmKrtOWe0HvqvwAgPxnWzIOSLOg+ABb9Lv5fW8XFBpBRWMbmUymsi0wiOr1yBcHT0Yr5Q3xZMMSXnh7mBycfZxv2PjuxzgrELnZqfJwblhK3s+Bq48o433HsS9zH5iub692VK9GWsOfqHiLiIjiactQYCCyXyRnlNYrwoHCm+E3BTtWO0u1ZGLlMzqygWayKWkVEbETDjQG5HOavhBVjxfR/f/xbzPjRySje9yZ/K3SAjImTlrW1OBJdgNbIKNTV0Oq1vHL4FQyCgesDr2dCjwltLVKL0SRj4I8//qC4uNi4nXH+/HnWrRN9qWfNmkVmZib/+te/uPXWW+nZsycymYwDBw6wfPlyQkNDuf/+ykqVoaGh3Hfffbz66qsoFAqGDx/Ozp07WblyJW+++Wbb1xiIOwT7rg3e4R+AZ2jd59eG2g5uXAF+o+CP5yB6G6ycIBoXXuKk31opriZui9vG9rjtbWYMXLx40RikWD3ivSuiN+j5/J/PAbiz3524WLvUcwWiW9maGyE/UdxNumMD2Dhztde9eBS+T0ave/Fr4K6ARqdnz4UM1kcmsf+SqRvQjNDuRjcghbz+9nycbTrtZL85/XZu8Fz2Je5j65WtPD748Ro1B7QGLYeTxUDgfYn7KNOXGY+FuYURHhTOjIAZDd8x6mA0RLfhgeGsilrFwaSDNYKx68TeQyxA9v1cOPUDBIyHgZ1oJTP5JIf/+Qathyt+Vq4EdjfNGiaNt5ajK+t2gJuYmSe+IL5xn8cG0hV1+23Ut8TkxuBs5cwLI15oa3FalCYZA4sXLzamtgJYu3Yta9euBcSUWE5OTnh6evLhhx+Snp6OXq/H39+fxx9/nP/7v/+rUaDi888/x8fHh08++YS0tDQCAgL4+OOPeeyxx5rxaC1AYTqsv09MNzXodhh8R/Pak8nEXLfeg+C3uyA3Hr6eJlafHHIXIBYg2xa3jZ0JO/n38H+3iX9xRZpGcxkQuiI74ndwOe8yDmoH7gq9q/4LNIXw40LIigZHH7hzI9iLgZe5LgPJmPAtKpWKuhKICYLA2eR81kUmsfmfFPJLK92Ahvg5s2CoL7MHeONk07ndTxpDc/rteN/xOFs5k1mayZGUI4zzHYcgCPyT+Q8RsRHsiN9BnibPeL6/oz/hgeHMCpqFv6N/Sz5Gu6Qhuu3drTchLiHE5MawK2EXC3stbPgNAsfDhOdh/9uw9SnwGQJuIfVf197RaWDTYvbbiDEUE4PDa7h/SuOt5ejKunW2dsbf0Z+EggTOZp1lrI/5WMWm0tV0G5sXy5dnvgTg+RHP0826HRbDbQZNMgYq8gTXxYYNG+o9pwKVSsXSpUsbFITcahj0oiFQlC76es96v+Xa9h4MDx6AjQ9DzA7Y8hhcPQbh7zPGZwwOKgcySjI4lXGKoZ6tX4BKqVTWmrGkq6Ez6Pj8tLgrsKjfIhzVjvVcoIFfboeUk2DTDe7cSDLu5CaL2ULi8/XodAaUSj2Ka69Vdc3JKChj0z/JrItM4lJ6kbHZ7o7WzB/iw4KhvgS7dw4fxZamOf1WpVARHhTOjxd+5IcLP3Aq4xTb4raRXJRsPMfV2pXrA68nPCicUNfQLhXT01DdhgeGszx3OVtjtzbOGAAY/2+x/kD8ITF+4P7dDa7i3m7Z/zb6zIsc9BezXE3sMbHGKdJ4azm6um7D3MJIKEjgTOaZFjcGupJuDYKBVw+/itagZazPWMIDW78KvKVpVjahtqDVoq33LoOD/wWVHTy4H9x71XdF4zEY4K+PxGwaggE8w+Dm73jpwrdsubKFW3vfykujXmr5+0o0mE2XN/HKX6/gbOXM9gXb6/YD1+tg3d1w4XdQ28OiLSTb9WPy+/vrDNpVK+X8Z3Y/9l7M4EAVNyCrKm5AYxroBiTRdC5kX+DmrTebvGartGWq/1TCA8MZ4TWihvuQhCmpRalMXz8dgJ0LduJl71XPFdUoTBPjB4ozYeg9MGe5BaRsJZIi4ZupnFSrWOTtiaPakf237DfmfJeQsDQ/X/yZt469xRifMayYuqKtxemw/HThJ97++21slbZsmrup8eNaA2nLbEKdL8ddS3B5t5jyDsTMQZYwBEAMnhv3DNy5CWzdIP0srJzITIW4/bQrYRd6g5lqVBKtglavZcVpcQC9t/+9dRsCggBbnxQNAYUabv0RfIaSW1xepyEAUK4z8PKmKPZezEBvEBjq78Lb88M4/vJU/nfbYMb3cpcMgVagT7c+jPQaiVKuZGKPibw3/j3237KfZWOXcZ3PdZIh0AC87L0Y5inm3N4Wt63xDTh0FwOKkUHkKoha37ICthbaMti0GAQD+/3F2K9xvuMkQ0CiVRngLsYNnM08i0HoGu48LU1KUQrLT4qLEk8NfcpihkBbI327VSc/GTY8CAgw7F4YcJPl7xk0AR4+BGvvgcSjjNrxOk5BwWSXZXMi/QQjvUZaXgaJGmy8vJHkomRcrV1NilGZZdd/4NQakMlh4bcQNLFR93KzV3PL8B4sGOJLkOQG1CbIZDK+nPolekGPWtG10qu2JOFB4ZxIP8HW2K3cF3Zf4xsIniwukhx6H7Y8AV6DwLXh6V7bBfvfFmOG7DzYb60GLUz0ndjWUkl0MXq59MJKYUVBeQEJBQkEOgW2tUgdCkEQeP3o65TqShniMYSbe99c/0UdFGlnoCp6Lay7F0qyxVSQM95uvXs7esPdW2H0o6iAqQVi1dLtlza2ngwSRjR6DSvPrATg/rD7sVHW4bv850dilWmAOf+DvnMafb9vFg3n3zP6SIZAG6OQKyRDoJlM85+GSq7ict5lonOqV91uIBNfBL/rxPoca+8WV9o7CkknjONB/NSXiCu8ilKmZIzPmDYWTKKroZKrjNWHz2adbWNpOh5bY7fyV/JfqOVqll63tFMWjKyg8z5ZU9jzOiQeBStHuPk7UFm37v0VKpixDG7+nhka0W98d+xWtFf2t6oYaWlpJCcnk5aW1qr3bU+su7SO9JJ0PGw9uKl3HbtDkavFuhEA09+EIXcaD5WW69kR1TAdSm5AzUfqt5ajMbp1snJivO94ACJiI5p2Q4USFn4jBuGnnYFdrzSto69hlwAAIABJREFUndaminsQYTdzQC1+rod1H4aD2nx9GqnfWg5Jt5UpRlu63kBn1212aTbvHn8XgIcHPtzpd1UkN6EKLm6rXN2d+xl0C2o7WfrNZbhbH7ptu4kcOfy97lbGjHkerntCjDOwMOnp6cb8wVWrQncVSnWlfHXmKwAeGvAQVgor8yee2ySmQQQY+zRcJ6bCTcwp4YejCfx6ItGkMrCEZenq/daSNFa34UHh7Lm6h21x23hy6JNNW1Fz9BbjB35cCH+vBCdfCKylyI+dOzj5NP4eLc2+ZZB1Cew94fp32X/wGcB8FqEKpH5rOSTdVsYNtLQx0Fl0W1RUxG+//caZM2eQy+WMGjWKefPm8c7f75Cvyae3S2/u7n93W4tpcSRjAMR8/5seFv8e9Qj0u6FNxQFQevRmWsh8fr28nu12NowxVi3+HGwaUPRKosn8evFXssuy8bH34caeN5o/6cpeWH+/uAI49B6Eya9w+HIWqw/Hs+dCOtcSAuHpaEV6gab1hJeQaAeM9x2Pg8qB9JJ0ItMjGd59eNMaCpkGo5fAkc/EuJzasPeAJ6NAWYvh3hokHocjn4p/z15OnlzOqYxTQN3GgISEJakwBi7lXqJUV1q3y2sX4+uvv+bZZ58lPz/f5HW/SX44LnJELpPz2pjXukTgv2QM6DSiT2pZPvgMg6mvtbVERmYEh/Pr5fXscXLlP7lFqKK3wZcT4JY1xqrFliAwMBBBELpUHvUKirXFfBv1LSDuCqgUZgaBpBPwyx1g0KLrO49f3R5n9fJDxGRU1gUY29ONRdcF4OFgxdzP/mot8bs0XbnfWprG6tZKYcW0gGlsiNnA1titTTcGAKYshROrQVtcywlysbhfW8Z6aEsr3YMG3AJ9ZnHoyu/oBT0hLiH42Ne+ayH1W8sh6RY8bT3xsPEgozSD89nnW6x2UUfX7VdffcWDDz5Y43W5jRybG0SDabzNeEJdQ1tbtDZBihnY+TKknBJX229aDcr2Ezw4xGMI7jbuFBo0HL7hXXD2g7wEsWpx5HdiOksL4OjoiJOTE46O9RTY6oT8dOEncjW5+Dn4MSfYTCBwxgX4YQFoi7niOJLhF27mpc0XiMkowlat4M5R/ux+ejw/3D+Saf08cXOwwkpZ98fMSinHxa799LuOSlfut5amKbqdHTQbgF3xu9Dom7E7plRD+Id1nGCAyS+LFd7bin3LIDtGdA+a+Q4AB5IOAPVnEZL6reWQdCtmSbOEq1BH1m1BQQFPP/208f/bbruN3bt3s3XrVoY9PQyViwpNmoZtL2/rMhWWu/bOQNQG0RcV4MYvwblH28pTDYVcwfSA6fx44Ue2F8QwoWrV4t8fh8RjMPYpKK9txYz240vbASgoL2DVuVUALB60uEZeeUN2HNpVc7Eqy+OkoSe3ZzxEKRDgastdowNYOMwXR2vTnQQfZxv2PjuR3OLyWu9btQKxhERnYajnUDxtPUkvSedg0kGm+U9remMDb4GD70JObLUDMnD0gqJMuLJPrFNg7yku7ljCOMhPguIs09fSouDwJ+LfU/4Dtt3Q6rX8mfwnILkISbQ9Ye5h7L66W8oodI2ff/6ZoiJxJ/+OO+5gzZo1ABxPO05JVgkAyauSKblUwu7du5k+fXqbydpadF1jIOsybHlc/HvsU9BrRtvKUwszA2by44Uf2Ze4D811S7G67ZfKqsX//AhnfoG6CpO1B1/aDsKa82soLC8k2CmY6wOuN75eWKYl4vA/jDt0Bz5COhcNPbin/DlG9u7BousCmBDijryObEA+zjbSZF+iyyGXyZkVOItV51YRERvRPGNAJoNZ74m7ciYIUJBSGfNlvLlKNAocPMXfFT8OnmDfvfJvO4+G7wbrNLByEhRn1H7Ontcg7CaOZ0RSrC3G1dqV/m79G/WoEhItTUVGodOZp9tYkvbBqVOnjH9XuAqV6kpZengpAAMZSFR0lPFcyRjorGhLYe0iMYe133Uw6eW2lqhWBrgPoLtdd9KK0/gz6U+m+E8RC/L4DLtWEyGrjqub5kur0WiMvoBWVl3DiMgry2PNeXF14JFBj6CQK7icUcT3R+LZGRnNt7yGjzyNJMGDiIGfsmnCcALd6qhIXAtdUbethaRby9FU3YYHhbPq3CoOJh0kX5OPk5VT04UIngLegyH1tOibj0zc+QycIE7Qi9LFn9JcMGihIEn8qQ+bbjUNh4odhqpGhNpB3GUtzgLMuQ7IjOPtgcRrLkI9JtabSUnqt5ZD0q1IP9d+KGQKMkoySCtOo7td87P/dGTdVo1z0Ol0GAQD/zv5P64WXsXDxoPrCq/jR36scW5npmsaA388B+lRYOsmVotVtF81yGVyZvjP4Lvz37E9frtoDEBl1eLvb4Ssi7Vc3TRf2osXLxpThg0caLlAZUsiCAL79u1j5cqVJinDFi9ezNChNQOoVp1bRbG2mF4uvZGVhHHnN8c4FJOFNRrWqN+hnzyBUrUrLvdE8IxXrybL1Rl0216RdGs5mqrb3t1609O5J5fzLrMrYRcLey1suhAymTieGXcHBLjxC+g51fQ8nQaKqhgHhWnX/r/2uzCt8phBB6U54k/mhbrvr7QBKwfMGwLX5Jn8MgKwP3E/ABN8a0mFWgWp31oOSbcitipbQlxCuJhzkbNZZ1vEGOjIuh0xYgQrVqxA6azktR2vYZNjQ1KRuHDw4vAXefHmF03O7Qq031mwpfjnZzj5PSCDBV+L/qbtnJmBM/nu/HccSDpAibYEW5WteMDRWzQIPgqtuXUtU4DXAHE1rYtRXl7OnXfeyW+//Wby+rlz5/jmm2946qmn+OCDD4wWf1ZpFj9d+AmA5LjxPHD4JAAqmY7fnFcwoPQSgpUjNvdsge5NNwQkJLois4Nms/zkciJiI5pnDEDl7kDKKfG3ufFNaSXGf9UXA2YwiLsIRenVDIXqhkMGaPJBVyr+mKPKeHsp9xIpxSlYKawY5T2qec8rIdFCDHAbwMWci5zJPNM8l70Ojs6gw3ucN8HPBmPd15psRTYUgRo1I2Ujefm2lzlx4gQAffv2ZcKE+g36zkDXMgYyLkDEtQjyiS9A8KS2laeBhLqG4mvvS1JREgeTDzIzYGblQaVaXB2r7ksr6JucYcPFxQWdTodS2TG7x6OPPsr6P/ah9gwGQKVSYTAY0OvF2IrPftqCtas3b730LNFphTy377+U6cvQl/qSlhqEo7WSW4f78kTBe9hFHwOlDbLb10L35vv+dnTdtmck3VqO5uh2VuAslp9czon0E6QWpeJl34wFGJkMprwKfzwv/m7OFr5cDnau4o9nv7rPLS+5ZjRkwOWdcPB90+NVxtuKLEKjvUY3KKe71G8th6TbSga4D+C3S7+1WEahjqbbxIJENl7eyKbLm8gszcSmv/jZLL5UTO7BXPL/zudk+Unj+Wq1mi+//FJyE+p0aIrgt0WgLYGgiTD+320tUYORyWTMDJzJ12e/ZkfcDlNjAMz40gIKFTgHNOl+fn5+zRO4DYmPj2fVr5vxfvBL5HUEBv6Yp+Pcp4c4k5aIXfAuZHLw0M3lofkDmDfQG5vdL0D0RpArxboOfi2zwteRddvekXRrOZqjWy97L4Z6DiUyPZJtcdu4L+y+5gkTPAke/bt5bTQWtS10CxR/eoyAy3sg9YxoBFTbhTW6CPVo2Iqi1G8th6TbSsLcwwA4n30erUHb7EJaHUG3Gr2GvVf3sj5mPcdSjxlfd7Fy4YbgG7CLs+ONVW+Ql5pncl1ISAhff/0148aNa22R24yuYQwIAmx9CrKixUwS878GuaKtpWoUMwNEY+BQ8iGKtcXYqaoEr9bwpQX0Wlg1E+7cCN3DWl/gNuKHH35AbuNQpyEAIFMoOZ1UgHX3fcjkOno69mf9nQ8il8th31tw/CtAJqacDem6W6oSEi3B7KDZRKZHEhEX0XxjoK2pPt5W2RXILMk0pm9sSLyAhERrEeAYgIPagcLyQmJyY+jnWs9uWAcmJjeGDTEb+D32d/I1YnVhGTJGe49mfsh8JveYLBYUHQ7333g/ERERnD59GrlczujRo5k8ebI4F+hCdA1j4OR3cPY3cQVn4bdg797WEjWaXi69CHAMIL4gnn2J+4wFfYxU9aX1DAMEMUh6VTjc/luLrWy3dxISEhp8bpB1LLndTqAT4MVRT4kf/qMr4MC74gmz3oOwZvo4S0hIMM1/Gm8de4uY3Biic6Lp3a13W4vUPGqJXTiYdBCAMLcw3G073veMROdFLpMzwG0Af6X8xZnMM53OGCjRlrA9fjvrY9abuEJ52npyY8iNzOs5z2wlcJVKxbx585g3b15ritvu6PymT+oZ2Pac+PeUVyBgTNvK00QqXIUAdsTtMHeC6EPr1humvwF3R4DfaDHw7ft5cHl3K0vcNtjZ26Ps5tugc226/4lO0DGy+0hGeI2A07/A9ufFg5NeghEPWFBSCYmug5OVE+N9xwMQERfRxtK0AFXH2yqxC43JIiQh0dpUuAp1luJjgiBwNvMsSw8vZdJvk3j18KucyTyDUqZkit8UPpvyGTsW7GDJoCVmDQGJSmSCIAhtLURjMBgMFBYWmrzm4OBgfkunLB9WThSrVobMgNt+EYPGOihX8q4wb/M8lHIlB245gKO6njLg5SXw252iISBXwYKvIPTGeu8TExNjDAwKCQlpIektg8EgcDGtkCOx2Ry5ks3hmHRKdPVfJ1Nl4djzQwwYWHP9GgblpsIvt4tb/iMXw8y3LVLBtCPptqMh6dZytIRudyXs4un9T+Np68nOhTvrzb/f0SjVlTLul3Fo9BrWzVnX4N0Pqd9aDkm3phxKOsQjex4hwDGA32/8vVlttaVu8zX5bI3dyvqY9cTkxhhf93f0Z37IfG4IvgE3G7dWlaklaNT8toXpvG5CggBbHhMNAacecOOKDm0IAAQ7Bxtzdu+9upd5PevZ1lLbwq0/w8aH4NwGsUhZWQEMXVTnZSUlJcb8we0Ng0HgUkYhR65kczQ2m2NxOeSVaE1P0mpAVXcRFCu3PRgwMMZnDINKimHt3aIhMOBWmPGWRQwBaN+67ehIurUcLaHb8b7jcVA5kF6STmR6JMO7D29BCdueY6nH0Og1eNt508ul4SmIpX5rOSTdmhLmJu4MxBfEN7sIYGvr1iAYOJF2gvUx69mdsJtyQzkAVgorpvlPY37IfIZ5Dusy2X9ams5rDPy9Es5vFlfEb1oNtt3aWqIWYWbATD7951O2x2+v3xgAMfXogq/B2hEiV8Pvj4s7JmMet7isLYEgCFzOKDKu/B+LyyGnuNzkHFu1guEB3Rgd7MroIFdiY6/w1B9ptbYpV2egdPoHgEd9p8PPt4KuDHpdD3M/7fBGo0TjiYyM5PPPP+fQoUPodDr69u3L/fffzw033IBC0bGSDbRXrBRWTAuYxoaYDUTERnQ6Y6BqFiFpQiLRHnG2dsbf0Z+EggTmb5lPD4ce+Nj74G3vjbedt/F3d7vuYoBtOyCzJJPNVzazIWYDiYWJxtd7ufRiQcgCwoPCm1fZXALorG5CSZHw7QyxJP3Md2DU4laW0nIkFCQwe+NslDIl+27eh7O1c8MuFATYvRT+Wi7+P+4ZmPyKxVbAm4ogCFzJLOZI7LWV/9hssopMJ/82KgXDAlwYHezKqCBXwnycUCkq3/+o5Hxmf/Jnrfew9vkJleMZhjsP4dvoP6EkC/zHwB3rQVV/XnCJzoMgCLz88su89dZbZo9PnjyZTZs24eDg0MqSdU7+Tv2b+3beh4PKgX237MNKUfcOXkfBIBiY/Ntkssuy+XLal1znfV1biyQhYZbP/vmMFadX1HmODBnutu742PvgZecl/rb3wsdO/O1l54W10tpiMuoMOg6nHGbdpXUcTDqIXhBrBNmp7JgVOIsFIQvo59qv0xndkptQS1KSI7p8GLTQdw6MfLitJWpR/B396dutLxdyLrD76m5Ge4STW22lvCoudmp8nG3ESf+018DaCfa8Boc+EHcIrn+vxVbCk/NKGyZLFQRBID67hCNXso0GQGahxuQca5WcYf7dGBUkrv6H+TijVtYus4udGiulHI3OUOOY3CoVlaOYaeDZuOOiIeA1EG77WTIEuiCfffaZiSFgZWWFlZUVBQUFAOzdu5c77riDzZs3t5WInYph3YfhaetJekk6h5IOMdV/aluL1CSSkpLYsWMHhYWF9OjRA/+R/mSXZWOnsmO4Z+fa8ZDoXCwZtISbe91MclEyKUUppBSniL+r/K3Ra8goySCjJINTnDLbjpuNm3E3oaqhUGFA2Kps65QjKirKZCd28uTJpBSnGAuDZZRkGM8d5D6I+SHzmREwo952JZpG59oZMBjgl9vg0nZwCYCHDoqT307GN2e/YfnJ5QxyG87fR24yO+mtwEopZ++zE00n4ce/gYhnAAHCboZ5n4tFyppBcl4pk9/fX68se56ZgN4gGH3+j8bmkFZQZnKeWilnqJ+48j862JUBvk5YKRvnqlGbYfLB6Rc5kXmIaeVyPkyOB9eecM/2DpluVqJ5lJeX4+fnR3p6OgDLli3jiSeewMbGht9//527776bvDyxGM2JEycYOnRoW4rbafjwxIesOreKKX5TWD5peVuL0yhycnJYsmQJa9euNVY0B/C/3R+HaQ5M95/OBxM/aEMJJSSahyAI5JTlkFKUQnJxMqlFqSQXJZNanCq+VpRMqa603nZcrFxMjIMKF6TyrHLefO5N/twj7t7LlDIcBjvgc70PiqDK73lnK2duCL6B+SHzCXYOttjztieknYGW4sgnoiGgsIKbvuuUhgDAjIAZLD+5nNNZkZQL04HaXRg0OgO5xeWmxsDw+0TdbHxIrL+gKRDjKpqxMp5bXF6nIVAhy7zP/qrh9qNWyBns52x0+xnUwxlrVfP8tH2cbWrsQpzLPseJzEPIBXg0IwkcfeDOTZIh0EXZtWuX0RC48cYb+b//+z/jsblz5/LWW2/xyCOPALBmzRrJGGghwoPCWXVuFQeTDjY7iLE1yc/PZ+LEiZw9WzMto6qPuJiS+mcqTGxlwSQkWhCZTIarjSuuNq7GVKRVEQSBfE1+jR2F5CLRcEgpSqFQW0iuJpdcTS7ns8/XvMmd0Hd+X8qzylF1U6F0qJyKBsgCWDJ+CZN7TEatqLt4qETL0XmMgYQjsPs18e/r3wHvQW0rjwXxdfAlzC2Ms1lnUTpGoc0dXef5xRodeSXl6AwCeoOAziBg8JmFata3ePzxAPJL2yn+dh5x076mXGlPTk4eWr0eAzLsHRzRGwzo9FWuFQST//UGA4k5JQ2SPauoHJVCxuAeLowK6saoYFeG+Lk0e/Jfg/wkKM4yeenTk/8FYFZxMUEKe7E6s3OPlr1vPWRlZWEwGJDL5bi5dbzUZ+2Zxuo2MbEyGO3666+vcXzWrFlmz+2KtGS/7eXSy5gVbXfCbhb0WlD/Re2AZcuWGQ0BFxcXlixZQu/evdm8bzMXe1xE0Av89s5vPDn9SUaMGNHgdqUxwXJIum15ZDIZztbO6Ip0uNm4MchuUA3dFpQXGA2DqkbD/lP7KVOXoXRQorBTYGMnLtjJimWk70kn92Au8WXx/JD0g2QItDKNNgYKCwt54403+Oeffzh16hRZWVm8+uqrLF261HiOXq/n448/ZufOnURFRZGTk4O/vz9z587lhRdewNnZNOi1tiCQt99+mxdeeKF+oUpyYN09YmrIsJtg6D2NfawOx3jvqaIx4HCmXmPglpVHazmiZITsOb5Wv49j6lEMq+dwX/nz5FJP/YJm8Mbc/iwc6ouN2oIZWnQaWDkJiit9Dv+xUvOnd3cUgsDi3HxQOYquZK1McnKyMR2b9OXUsjRWt1WDgqOjo2scv3jxotlzuyIt2W9lMhnhQeF8fPJjtsZu7RDGgEaj4ZtvvgFArVZz5MgRevcW6wjIhsp45+93KIkpQV+s54svvmiUMSCNCZZD0q3lqEu3jmpHHLs5mtTauHjxIssni26B/iH+bNyzkUJZIWqFmqEeQ7nz4J38mvUrWrSsWbOGRx99tFWfp6vTaGMgOzublStXMnDgQObNm8fXX39d45zS0lKWLl3Kbbfdxv3334+bmxsnT57kzTff5Pfff+fEiRPY2Ji6cCxcuJBnnnnG5DU/P7+GCRXxNBSmglsvmL283WXIaSp6g0BSbglXMou4klEs/s4s4kpmMbkaK+xDQGEbj0xZgKBr2AReIZehkMtQXvsdIx/AYtlrfKp/kwHyODbavMkTipfIlndDIZNjb2djPFcplxuvr9qGUiGjsEzHoZiseu8/2M/ZsoYAgEINTj7XdgZE16VPXUQD9IaiYvx0evDwF8+T6LJMmzYNlUqFVqtl5cqV3H333fTv3x8QXUJeeeUV47lVdwkkmk94oGgMnEg/QWpRKl72Xm0tUp1ER0eTk5MDwJw5c4yGAFSmFC05K+6O/vXXX60un4REe+fw4cPGvx+8+0EG9xhscvzZZ5/l119/BcTPkGQMtC6NNgb8/f3Jzc1FJpORlZVl1hiwsbEhLi4OV1dX42sTJ07Ez8+Pm266ifXr13PHHXeYXOPp6cmoUaOa8AhA/CExTuD698DKvmltNJKmZM6pjWKNjrisa5P9DHGyfyWziNisYspr9cN3RqYJBKu4a7sDY2ttf8Mjoxno64JcVvsuDJmTYM08AgqS2GDzJgXz1kC3IFxcXBr0DFHJ+RyKqT2dZ6sik8Hkl+EHccXxuLUVx2ysUQoCD+XlA4J4vA2MRj8/P+O2tUTL0ljdenh4cPvtt7N69WoKCwsZPHgw4eHhuLi4sGXLFuPkz9/fnxtvrL9yd2empfutl70XQz2HEpkeyba4bdwXdl+LtGspdLrKsub29pXfMYXlhZxIPwFA+YXyGuc2BGlMsBySbi1HY3Vb9XNhbqe16muN/QxJNJ9GGwMNyeuqUChMDIEKKrZOLeJ/q9fAxgfgyShQWjZ3dUMz51TN4iMIApmFGi5nVK7uV0z+U/LL6mwn0M2OYA97errbE+xhT7C7HYFudnwemcZ3l5ajcqzbGFArFCjk9bxv7r3g3u3w/TwUOVdw2XCr6FNPw4yBdof3EHDwQihM5VMXMUBxQWERPnrAezAET2kTsRpqXEk0nqbodvny5Zw5c4aTJ0+i0+lqpBB1dnZm/fr1Xb6CqSX6bXhQOJHpkUTERbR7YyA4OBgrKys0Gg2bN28mNzcXFxcX/kr5C51Bh6vMlajYKADj7lJDkcYEyyHp1nI0VrdVPxdr1qxhyZIlJobEd999Z/ZcidahVQOI9+7dC0BoaGiNYz/99BPffPMNBoOB/v378+ijj3LPPY3x/ZeL2WFawfWjoZlzvjxwhSKNjiuZxcRmFFGoqd3adbNXE+RuT7C7ONmvmPx7O9vUOpEf6TmR1dEfo7C9ikyZi6Br5sDn7CcaBGvmQ/pZWD0Lbl8HPRru/9rmFKTC0c/gxCooL+KAjQ0nra1RGwQeyCsQ40raaFdAov3h5OTE/v37efvtt/nqq6/IyhJd3dRqNQsXLuS1116jZ8+ebSxl52S6/3TePvY2MbkxROdEm/gXtzecnJy45ZZb+P7778nLy2PSpEm89tpr7FDsACB2V6zx3AceeKCtxJSQaLeMHj2a0NBQzp07x/Hjx5k7dy7//ve/cXFxYc2aNXzwgZiSVy6XN3LuJ9EStJoxkJyczAsvvMCwYcOYPXu2ybF//etfhIeH06NHDzIyMvjmm2+49957iY2N5Y033mjgHQwmkzyNRmMMAHRxcakRfxATE0NJiejjOXDgQJNjWVlZJCcnA+JWWFULWK/Xc+nSpQZJ9P2RBJP/5TLobq/Ex1FJHy9nwvw9CPawI9jdHmdbNWfOnEEQDNjY6OjVy8Pk2sTERKPbQu/evbG2tiaomzdCaSAy21iUjmfQ5kyoIYOVUk5WcgKnswRUKhX9+vUzOZ6amkpGhhhoGxwcjL29B9y9FX66BRKPol89h/iRb6LuO5MePUwz71y6dInS0lIxFZlfSK2FvqrK4mKnRqfTce7cOQAcHR0JDAw0OS82NtaYa7d///4oFJUxBrm5uVy9ehUAHx+fysCl7Cvw18cY/vkJuUELgNajHx9YFwFwe0EhHgaBEuc+xBS50UejwcqqcgepoKCAuLg4QHRZ6969u4lM586dQ6fTYWVlRZ8+fUyOpaSkkJmZCUDPnj2xs7MzHispKSEmJgYAV1dXfH19Ta6Njo6mrKwMhUJRYzUkIyOD1NRUAAICAnByqkzBWF5ezoULFwBxohIQEGBy7ZUrVygqEp89LCzMZAUmOzubpKQkAHx9fU128QwGgzFjir29PcHBpvmd4+Pjyc/PB6Bv376o1ZXGd35+PvHx8QB4eXnh4WHah6OiotDr9VhbW5v4XINYxCk7OxuAkJAQbG0rC8sUFxdz+fJlANzd3fH29ja59uLFi2g0GpRKZY2FhrS0NGP60MDAQBwdK2Nrqo4RDz/8MEuXLiU6OhqtVktQUBCZmZkUFxdz+vTpRo8RUVHiKrGDgwNBQUEm18bFxRmLmoWGhqJUVg7DeXl5JCSI44a3tzfu7qZpb8UxQsDGxoZevXqZHDM3RlRQVFTElStXANE9ysvL1Ef//PnzxmDA+seISjeZsrIyY/B1t27d6hwjBgwYYHKsvKCcAQ4DiMyPZMOFDbw45kXjMYuMEdc4ffo0ALa2toSEhJgcu3r1Krm5uQD06dPHZIx45pln2LJlC3l5eZw+fZp58+fR5399UNoryT4m9t0xY8bU+MyANEZU0JHHiJaeR3TFMeLFF19k0aJF6PV6tm7dytatW6nO888/b9RzZmYmKSkpgOiuWTX5THscI5o7j8jOzm54rGwL0yrGQE5ODrNmzUIQBH799dcaPmY//vijyf8LFixgzpw5vPPOOzz++OM1Ont1BOToPAegrOL6IQgCWq04KTSxmt3OAAAgAElEQVTnf6bT6YzHq2MwGIzHDIaak9uG+rNNDHFjeJCruNLvbo+DTEPS1XgAfH19anQUrVaLIAhmXRL0er1Rpoo6cT7ONjwx6iY+OfMugb7nuX/wjbi6uuLp6Wm8zsVOTVbCpVqftWq7Fc+qVzvAv9Yi/Honyvj9BB55gSw10MN0xatChzKZDB9nG/Y+O9EYR5GVnU3GtQHWx8cHJycnYxyFVqttufcm9TT8uRzObwLBgBwo7Naf3NB7OextS/zfb+Gi1/NAXj4yQSCp191odTqq19qr2l+qFhOqQKvVotPpzPpHmntvamu3atsKhcKoC3P3rKvdCpnqkrep/bvimLnrq8pUnfp0WF5ejsFgMBmUzbXblPem4rNTcbziHg1tV6fToVarCQurzKudmprabB3W17+ry1S13dqetTFjRGPabcgYUf156ntvqo4R5tod5TiKyPxIdiXt4nnheeQyeY12W3r8bup74+/vzxdffMHzzz/P1atXsQ2xRWmvRFeoo+RyCdOnT+fll19u9Ge56rG63htpjGj8GFHxd3l5ufGz09R220s/bC9jRHU91/asVXU4ZswY1q9fz7333ms0SipQKBS88MILvP76641ut728N82dR7RlrITFjYHc3FymTZtGcnIye/furWEB18Ydd9zB1q1bOXHihNkc4FWRYaBszL9RVvnCkclkxg9DVau6AqVSWasfsFwuNx6r/qYJgsCZjIa9YU9OC2GQXzfj/3l5emO75gY7lUqFIAhm5VUoFMZrq36xLuw7i8/Pvk+qNgEnpwL6eQXg5WVaxCc/RWVsv652K541KipKXAEY8DL+WhnOyftwP/AcOFrDkDuN11bosEKeqoW+MtXluAiiVe7v7Yizc6VMzX5vlErssk/jvPU1uHqw8mDIDC53n0Ox2wAEtcDnpx8HYLHBEQchGY1bKKXeo1HJZDUmJ1Vlqu29qXpObTqsr12jblUqBg4ciEqlQq/Xm71nXe1WyFSXvE3p31Xbre9Zq1OfDtVqNXq9vtk6NCdvxeB+6tQpo24b025LjhEVMjWk3eoyVW23pcaIhrZb9Xf1diuIi4tj8ODKLCD1vTfVx4jq7Q51GYptsi2ZZZlEpkcyvPvwGu22l/dGJpPRt29fNm7cyNmzZ/k+43syyMBf78+6s+sAcaLQ2P5dsRpbcZ45eaUxomljRMV4W3G8sZ+b9tgP28sYUfW7zMPDo9Znrf7ezJ07l8TERH755RcOHTpkXA2fN28eU6dOrVXeutptL+9Nc+cR5u7XWsgEc6ZyA8nKysLd3b1GnYEKcnNzmTp1KnFxcezZs8fkS6Q+fvnlF2677Ta2b9/OjBkzjK+bLde86U7kd222uB/42aR8Xvv9HCcScht0/tbHxtLfx/LVNR/c+SBHUo/w+ODHeWBA8/1VT58+XTlhDesPW5+Ek9+LB6cvg+vaKOWXwQAxO+DQh5D0t/iaTA79F8CYJ6F75Rb6R5Ef8W3UtwQ4BrCh/xOodvwfXP8uBE9qG9mvYaLbatvKEs1D0q3lsKRu//PXf9h4eSMLQhaw9LqlLdq2JdAb9Lx7/F1+vvgzAJ9P+ZxxvuOa3J7Uby2HpFvLIem25TE7v3VwaJVsWBYzQyoMgdjYWHbt2tUoQwDEaHOVSsXQoUPrP3ns0xY1BDILNby/I5rfIhMRBOr1jW9tZgbO5EjqEbbHb28RY8DBwQGdTidaqXIFzPkfWDvD4f/BzpegLA8mvdR6Qbh6LURtgD8/gkzRBxaFFQy+Ha57HLqZ+gomFyXzw/kfAHh66NOo/CZByNTqrbYJJrqVaFEk3VoOS+p2dtBsNl7eyM74nbw48kWsFJbNBtccNHoNLx56kV0Ju5Ah47nhzzXLEACp31oSSbeWQ9Jt56JJ7+Iff/xBcXGx0YI5f/4869aJ26SzZs1CJpMxY8YMTp06xfLly9HpdBw9WlkF193d3Rh09N5773H+/HmmTJmCr6+vMYB4586dLF26tGFVAwOaNxjXRrnOwHeH4/nfnhhjJqB5g7yZN9iHu1cdt8g9m8IUvym8ceQNLuVeIjY/liCnhrli1UYNVy6ZDKa9DjbOsOd1OPgelOXDzHfBkharthRO/SAaIXlisA9qBxh+H4x6BBw8zV728cmPKTeUM7z7cCb2mGg5+ZpAQ93kJBqPpFvLYUndDus+DA9bDzJKMjiUdIip/u3DcK9OQXkBj+99nMj0SFRyFW+NfYuZgTOb3a7Uby2HpFvLIem2c9EkY2Dx4sXGaHaAtWvXsnbtWgBjJPXx4+Jk+Yknnqhx/aJFi1i9ejUgRmNv2bKFiIgIcnNzsbGxYdCgQfz888/ceuutDRPIAivUey+m88bWC8RlFQMwwNeJV+f0Y6h/N5LzShucOac1cLJyYrT3aA4lH2JH3A4WD1rc8jeRyWDcM2DtBBHPwt8rRYNg7megaOEc7KV5cPxrOPoFlFyramznDqMWw7D7RKOkFs5mnuWPuD+QIePZYc82qC6GhIRE2yGXyQkPDGfVuVVExEa0S2MgvTidh3c/zOW8y9ip7Ph40seM9BrZ1mJJSEhItAjNihloCyztU3U5o4g3I86zP1pMA+dmb8XzM3uzYIgv8ir5/luyAnFLsOXKFl768yWCnILYNHeTZSfBZ9bCxofEnP29Z8HCVaCyrv+6+ihMF2sEHP8Wyq+9x85+oivQ4DtAVbc+BUHg7u13czLjJDcE38CyscuaL5OEhITFic6JZuHvC1HJVey7eR9OVpaPtWoosXmxPLT7IdKK03C3ceeLqV+065oIEhISHZNOGTPQ0cgv1fLJnhhWH45HZxBQKWTcOzaQRyf1xMG65sp31cw57YFJPSahkquIzY/lUu4ly35ZDbgJrBxg7SKI3gY/LoTbfhZfawo5sfDX/+Cfn8RK0gAe/WDsUxA6HxQN66Z7ru7hZMZJrBXWPDb4sabJIiEh0er0culFT+eeXM67zO6E3SzotaCtRQLgn4x/WLJnCQXlBQQ4BrBi2gp87H3aWiwJCQmJFqXLGwN6g8BvJxJ5f0c02ddW+qf29eCl8H4EutnVc3X7wUHtwMQeE9mVsIv3jr/HV9O/avLuQFxcnDEwqHohDyO9Z8Id6+GnWyH+EHw3B25fD3au5s83R9pZsUbAuQ0gXHO58h0B456GkBmNikfQ6rV8FPkRAHeF3kV3u+71XNE2NEi3Ek1C0q3lsLRuZTIZ4UHhfHzyYyLiItqFMbD36l6eO/gcGr2GAW4D+HTKp7hYN7PKuxmkfms5JN1aDkm3nYsubQz8HZfDa7+f41yKWOmvp4c9r8zux4RedRc5a688NeQpDiUd4ljaMdZeWsvNvW9uUjsFBQXGlGF1EjAW7v4d1syHlFPwzTQxfaddLfqzcwcnH0g4LGYGitlZeaznNHEnwP+6JsWA/BL9C1cLr+Jq7cq9/e9t9PWtRYN1K9FoJN1ajtbQ7azAWXx88mOOpx0nrTitTQ36tZfW8ubRNzEIBsb7jue98e9hq7Kt/8ImIPVbyyHp1nJIuu1cdEljIDmvlLe3XWDrGbGMu4O1kqem9uLO0f6oFJb3zbIUPRx78MSQJ3j3+Lt8cOIDxvqMxdveu/4Lm4P3YLh3O3w3F3KuiC5DtWHtBG69TWsE9JsnGgFeA5osQr4mnxWnVwCwZPAS7FQdZ0dHQkJCxNvem6GeQ4lMj2Rb3LY2MeoFQWDF6RV8fvpzAG7seSP/Gf0flPIu+VUpISHRRehSAcSl5Xq+PHiFFQeuUKY1IJPBbSP8eGZaL1zt229u68ZgEAzcs/0eTmacZLTXaL6c9mWj3YV0Oh2CICCTyRqeQzgnHj4bDvrag6qNKNQw6F9iYLBrcKNkM8d/j/+XNefX0NO5J2vnrG3XX9xN0q1Eg5B0azlaS7drL63l9SOvE+ISwoYbNljsPubQGXQsO7aMdZfENNkPDXiIJYOWWDwjmdRvLYekW8sh6bblacsA4i5hDAiCQMTZVN7edpHkvFIARgR249U5/Qj1bj9ZK1qKhIIEFmxZgEavYenopa3nf3t2Hay/r/bjSmsY8SCMXgIOLeMCkFiQyA2bb0Bn0PHF1C8Y6zO2RdqVkJBoffI1+Uz8bSI6g471N6ynl0uvVrlvqa6U5w4+x/7E/ciQ8dLIl7ilzy2tcm8JCQkJaFtjoOP6xDSQqOR8bvnyKI/+dIrkvFJ8nG347F9D+PXBUZ3SEADwd/Q3ZtN5/8T7pBWntc6N+y+A7rW4+zh4wdMXYPobLWYIAHx08iN0Bh3XeV8nGQISEh0cJysnxvuMByAiNqJV7pmvyefBnQ+yP3E/armaDyd+KBkCEhISXYpOuzOQXaTh/Z2X+OX4VQQBrFVyFk/oyYPjg7BRK1pT5DZBb9CzaPsiTmeeZozPGL6Y8kXrFOC6vBt+MLMTccd66NmyxYROZZzirj/uQi6Ts3bO2lZbRZSQkLAcO+N38syBZ+hu150dC3Ygl1luzSq1KJWHdz9MbH4sDmoHPpn8CUM9h1rsfhKNo7S0lJycHAyG2gt8Skh0FORyOd26dcPGxnxaeqnOQAui1Rv4/kgCy3dforBMB8Ccgd68eH0fvNtRXQBLo5AreH3M69y05Sb+Sv6LzVc2M6/nvAZdm5eXh8FgQC6X4+xce7VfswRPEYOKU8+IRclkCjE4OHhKE56idgRB4P3j7wNikF9HMQSapVuJOpF0azlaU7cTekzAXmVPWnEakemRDO8+3CL3uZR7icW7FpNRmoGnrScrpq6gp0tPi9yrLqR+ax69Xk9mZiZeXl5Nzlij0+mMf0t+7S2LpNvGo9VqSU1NxcfHB4WifS1Kd4p38GJqIQYgOq2Az/df4UpmMQCh3o68OieUEYHd2lbANiLIKYhHBz/Kh5Ef8t+//8tor9F42nnWe11CQoIxZVijv5xkMpj8cuXugKAX/2/hXYnt8ds5k3UGG6UNSwYtadG2LUmzdCtRJ5JuLUdr6tZKYcU0/2lsvLyRiNgIixgDx9OO88TeJyjUFhLsFMyKaSvaLJWp1G/Nk52djZubW7NSV5aXl0tBrhZC0m3jUalUuLm5kZ2djYeHR1uLY0KniBm4/eujzP7kT55Ze4YrmcW42ql5Z34YWx4d22UNgQru6ncXYW5hFGoLef3o67SKV1jF7gCIv1t4V0Cj17A8cjkA9/S/B3fbjlkXQkJCwjyzg2YDsDNhJ+UNyVDWCHbG7+ShXQ9RqC1kiMcQvrv+u3ZbpLAro9FoanWnkJDoqNjY2KDRaNpajBp0OnNu3iBvXp/XH0drqRAGiO5Cb4x5g5t+v4mDSQfZGruVOcFz6rzG29sbvV7f9G0smQymvAp/PC/+buFdgZ8u/ERKcQoeNh4s6reoRdu2NM3WrUStSLq1HK2t22Hdh+Fh60FGSQaHkg4xxb9lFhR+uvAT7/z9DgICU/ym8M64d7BWWrdI201F6re109w4N6kgluWQdNs0WiV2swl0OmPg/nFBkiFQjWDnYB4Z9Agfn/yYt/9+m1Feo+pcTXd3b4GV9uBJ8OjfzW+nGrlluXx15isAHhvymMWqglqKFtGthFkk3VqO1tatXCZnVuAsVp9bzdbYrc02BgRB4JNTn/DVWXHsuKX3Lbw44kUU8rafgEv91nJIE1bLIem2c9Ep3IQk6ufu0LsJdQ2lsLwV3YUswBenv6BQW0ifbn24IfiGthZHQkLCQlS4Ch1IOkBBeUGT29EatLzy1ytGQ+CxwY/x0siX2oUhICEhIdEekIyBLoJSruSNMW+glCvZ///t3XdcU9f/P/BXCGFvARkOFAeKghOrVsGCowLfKmqt1oX6sXVU6XBULWqr1ra4WrXa1pZ+1DqKq7W4B13aD2pVEBWKIiggMkQ2Gef3B7/cJiSBALkkwPv5eOSh3HvuybnvXA45956RcQmxD2L1XaQ6e1D4AD/e+xEA8F6/93idcpAQol9d7Lugk10niGVinE07W688SsWlWHhhIY6nHodQIMSaQWswx2eOwT6qJ4QQfaBvUy1IZ/vOeNPnTQDAx//7GLlluXouUd1surYJEiaBfxt/DHAdoO/iEEJ4JBAIENwxGADwy4O6L0CWX56PWadn4ffHv8NMaIatw7YirHOYrotJmoDHz8qQ+LhQ4+vxszJ9F1HnDhw4gF69esHMzAxubm6IiIhAcXGxVsdu2bIFYWFh6NChAwQCAQICAvgtLNG7ZjdmgNRsZs+ZOJ9+Hnfy72DdlXXYFLBJ5S7ZrVu3uKnufHw0rCjcyOKz43Ep4xKEAiHe6fuOvotTb4YY2+aCYssffcV2dIfR2Hp9K65mX0V2SbbWs/5kFGVg7rm5ePj8IexM7bAtcBt8nXx5Lm390HXLn9LSUjx+VobgHf9DpUTzwmWmxka48F4A3JvJWkT79u3DlClTMHv2bGzevBnJyclYunQpkpKScObMmVqP37lzJywtLfHSSy/h559/VpumtLSUm1rUwqJpjd0jqujJQAsjMhJVdRcSGONc+jmcfnhaJQ1jjHsZAhmT4bP4zwAA47uMR0e7jnouUf0ZWmybE4otf/QVWzcrN/Rx7gMGpnXXxjt5dzA1dioePn8IN0s3/Pfl/xpsQwCg65Zvz0rFNTYEAKBCIkNBiW6nsNUXqVSKxYsXY8SIEfj6668xbNgwvPHGG9ixYwfOnj2LkydP1ppHUlISrl27ht27dxvcfPiEH82qMWBqbAR7SxN9F8PgdXXoijk+cwAA66+sR15ZntJ+c3NzWFhYGMwcz7/c/wV38u/AUmSJub5z9V2cBjG02DYnFFv+6DO2IZ5VA4l/uV97V6HLmZcx49QM5JXnoat9V+wZvQcdbDvwXcQGoeu2bkorJVq/yiUMFVLtGlnlYmmd8m6o48ePw8fHB6ampujYsSO2bt2K1atXN3g8y5UrV5CVlYXw8HCl7RMmTICVlRUOHTqE58+fo7y8XGMeRka1fzU0MjLiXqTpaxbdhPbNfgEyAPaWJs3mMR/fZvecjfPp53Gv4B7W/7UeGwM2cvu6dOmix5IpK5OUYev1rQCqytzKvJWeS9QwhhTb5oZiyx99xnZE+xFY/9d6JBckI7kgGV3s1Zfll/u/YOUfKyGRSeDn4octw7bA2sS6kUtbd3Td1k33SNWn2bowfuflOqVP2xBc7/c6deoUwsLCMHToUBw8eBASiQRRUVF48uSJUjqpVKrVEyPFL+WJiYkAoNTlTCaTITc3F+3atcO1a9eQnJwMALC0tISbmxtsbW3rfA5mZvpdn4PoVrNo0nm5WqOHuy01BOpAJPy3u9CZh2dwJq32foT6sCdpD56UPoGrpSumdp+q7+IQQhqZrakthroPBaD56cD3t7/Hst+WQSKTYKTHSHwZ9GWTaAiQlikyMhLu7u44ffo0xowZg/Hjx+PcuXMoKipSShcYGAiRSFTra+bMmdwxeXlVT/odHBwAVDUEUlNT8fjxY9jY2KCwsJBLW1JSgpSUFDx9+rQRzpoYsmbxZIDUT7dW3TCr5yzsurUL6/5ah/4u/WFvZq/vYnFyy3KxO2E3AGBRn0UwFZrquUSEEH0I7hiMCxkXEPsgFov6LOKmFZYxGTZd3YTvk74HAEzpNgWL+y+maYebsaQPR9YtfeZzre76x7w5EN3dbOpbLK2VlJTg6tWrWLBgAUxM/u3WbGVlhdDQUERHR3Pbdu3apdJAUMfR0VFlm7y7UU5OjlIDwNjYGC4uLigsLERZWdUsSg8fPoS1tTXd7W/BqDHQwr3h8wbOp5/HP8/+wcf/+xifDv1U30XibL+xHaWSUni38sbLHV7Wd3EIIXri39YfViIrZJdk49qTa+jv0h9iqRgr/1jJDSx+p+87mOE9g9YQaOYsTOr2tcVMpN3icmYiYZ3zro+CggIwxtC6dWuVfdW3derUSetuQnKtWlV1pc3Ly4OzszNycnK4fRUVFWjdujXatGkDd3d3pKenc08Fnj59irZt29brnEjTR7dPmomysjJcunQJP//8M27cuKH1zBQioQhrB6+FUCDEyQcncT79PDIyMpCWloaMjAyeS61ZSkEKjqQcAYBmdafPEGLbXFFs+aPv2JoKTTG8/XAAVV2FiiuLMe/8PMQ+iIWxwBjrX1yP8B7hTbIhoO/YNmeVlZWorDSsWYLs7e0hEAhUxgcAQHZ2ttLP9ekm1LNnTwBAQkICysvLufO3sLBASkoKevToAaDqyYG7uzt3nOLTA21UVlaioqLC4OJL6oeeDDRxFRUV+Oijj/Dll18iPz+f296zZ0+sWbMGY8eOrTUPb0dvhPcIxzcJ3+Cjyx9hXad1MGWmEIlEertTsOnaJsiYDIHtAtG3dV+9lIEP+fn53JzidBdGtyi2/DGE2AZ3DMbRf47izMMzSMpLwp38OzA3NsfmgM0Y7D5YL2XSBUOIbXMlkUhgbWoEE2OjWtcZaKyZCC0tLdGvXz8cO3YMUVFRXFeh4uJinDhxQiltfboJDRgwAK6uroiOjkZISAi3/fz58yguLkZY2L8L7wmFQgiFQkilUshkNU+/Wp1EIuHWGVDs7kSaJmoMNGGVlZUIDQ3F2bNnVfYlJCQgLCwMn3/+Od56661a85rrOxcX0y8itTAVex7vwWy32XwUWSt/Zv6J3x//DmOBMd7u+7beykEIMRz9WveDs4UzckpzcCf/DhzMHLAjcAe8Hb31XTRiwNxszRA7fwDKZZq7CzX2TIQffvghgoODMXLkSCxatAhSqRSfffYZrKyslG7qde3atc55C4VCfPrpp5g6dSoiIiLQr18/pKen44svvkBQUBBGjRrFpT116hRCQ0Mxa9YsvPPOv4t5Xr16FWlpaQCA58+fgzGGmJgYAED//v3Rvn37ep45MVTUGGjCNm7cyDUEjI2NMX78eHh5eSE2Nhb/+9//AAAREREYPnw4vLy8aszLRGiCjwZ/hCknp+CPgj8Q5h3GzeDRmKQyKaKuRgEAXvN6De1tmlel07VrV+5uCtEtii1/DCG2QiMhQjqG4NvEb9HWui12Bu1EO5t2eiuPrhhCbJsr+YDYjubmBjUf/qhRo3D48GFERkZi4sSJcHFxwbx585CZmYk9e/Y0OP8pU6ZAKBRiw4YN+P7772FjY4PRo0fj/fffR0VFBUxMTFBUVISsrCxu+lL5WAMA2LZtG77//nulPCdMmAAA+O677zBjxgwabNzMCFgTW/ZQJpOpPDaztrY2qF/0xiCRSODh4YHHjx9DIBAgLi4OQ4YMAVC1ouU777yDLVu2AADeeustfP7551rlu+naJnyX+B2czJ1w9JWjsDWt+/zDDXEk5QhW/bkK1ibWiB0bCzszu0Z9f0KI4SoVl+LMwzPwb+NvUDOfEd3LyMhoUd2mxGIxevXqBXd3d5w5o7upvktKSnD37l2lcYQCgUDpZ3Nzc3Tr1q3FfY/SF03Xtj6/39b5HYqKirBkyRKMGDECTk5OEAgEWL16tdq0169fR1BQEKysrGBnZ4ewsDDcv39fbdovvvgCXl5eMDU1RYcOHbBmzRqIxeK6Fq/FSE5OxuPHjwEAI0eO5BoCQNUvemRkJIyNqx78nDt3Tut85/eajw62HfC07Ck+jW/cmYVKxaX44u8vAFTNckQNAUKIIguRBcZ0GkMNAdLkzZo1CwcOHEBcXBwOHjyIESNG4M6dO1iyZIlO38fS0hKenp5KXyirNwQ6d+5MDYEWrs6ffl5eHr766itUVFRgzJgxGtPdvXsXAQEBqKysxKFDh/Dtt98iOTkZQ4YMUVngYt26dVi0aBHCwsJw+vRpzJs3D+vXr8f8+fPrfkYtRGlpKff/Nm3aqOy3s7ODlZUVAHBzCWvDVGiKDwd9CAEE+Cn1J/z66NeGF1ZL393+DrlluWhj1QaTvCY12vsSQgghjamoqAjvvfceRowYgVmzZkEqlSI2NhZBQUE6fy87Ozv07NkT7u7usLKygrm5OWxtbdGxY0d069aNBgCTuo8ZaN++PQoKCiAQCJCbm4tvvvlGbbrIyEiYmprixIkTsLGpWsijb9++6Ny5M6KiovDJJ58AqGpcrF27Fv/5z3+wfv16AEBAQADEYjFWrlyJiIgIdO/evb7n12y1b98eRkZGkMlkiI2NRXl5uVIfvkuXLuHZs2cAgI4dO9Yp704WnfBap9ew/5/9WHN5DY69coz31TyflDxBdGI0ACCibwRMhM2zciouLoZMJoORkRHXWCO6QbHlD8WWPxRb/kilUu7/QqF26w00lkOHDjXq+4lEIri6usLV1VUn+RlybEnd1fnJgEAgqHWgk0QiwYkTJzBu3DiuIQBUfYEdNmwYjh49ym07deoUysvLER4erpRHeHg4GGM4duxYXYvYIjg5OSE0NBQAkJmZiXHjxiEpKQkSiQQ//fQTpk2bxqVVnINYG6mpqQgQBcDF1AU5pTncgF4+bbuxDeXScvRy6oUR7Ufw/n76kpqaiuTkZKSmpuq7KM0OxZY/FFv+UGz5U1FRgfLyclRUVOi7KM0OxbZ54WU2odTUVJSVlcHHx0dln4+PD86ePcvdyU5MTATw70IZcq6urnB0dOT21+T27dto3769UsOjoqICd+/eBVC1yEe7dsqzTqSkpHBdbXx9fZX25ebmcv3x27VrB3v7f/unSqVSrkzW1tYqd90fPHiA58+fAwC8vb25fvsA8OzZMzx8+BAA4ObmBicnJ6Vjb926BcYYzM3N0aVLF6V9GRkZ3JRjXbt2hZmZGVatWoXTp0+jvLwcsbGxiI2NVYlNnz594O3tjZs3b0IkEqk8ZcnKyuJWKPT09OTuTJkYmWB2m9lYl7oOR1KOoLdFb4zppdwtLDk5GWVlZRAIBCqf9dOnT5GZmQmgqhFoZ/dv/3+JRILbt28DAGxsbFBhW4Hj/xwHALzX/z08ePCAG0TTo0cPpbsOBQUFSE9PBwC4u7urLMN+8+ZNAFULrApa+xcAACAASURBVHTu3FlpX3p6OgoKCgCAG58i9/z5czx48ABA1SqQLi4uSsfevn0bEokEpqamKjMzZWZmcl3fOnXqBEtLS25faWkpUlJSAEBptga5e/fuoby8HEKhkFsMRi4nJwdZWVkAAA8PD9ja/juYu7KyEnfu3AEA2NrawsPDQ+nY1NRUFBcXA6j63VLsD5qXl4dHjx4BqOpiplgumUyGhIQEAICVlRU8PT2V8k1LS+MWp6n+eLmwsJCbjs7V1RXOzs5KxyYmJkIqlcLMzExlyrxHjx4hLy8PANC5c2dYWFhw+0pKSvDPP/8AqGoEu7m5KR179+5dVFRUqB1jlJ2dzS3u06FDhxZXR8gVFxdzXzadnZ1V7g4mJSVxc92rqyPksa0+F3l5eTnu3bsHAHBwcFAZFKerOqJDhw5Kx96/f7/Z1BHy/ttisRiPHj1S6fbZUusIxTpAfj4SiQQAYGpqqvSZS6VS7kupsbGxSrcXxhhKS0shEAhgbq48hahYLOau7+r5ymQylJeXA6i6+614PQBV17/8d6J6eRXzNTExUfo9Z4xx3XfV5VtRUcHdeTc3N1e6ASuRSLiFvuSLjimS11lGRkYqM/4oxtDMzEzpM68thmVlZdysV9VjWNNnoxhDdfk2tRgq5ltTDNXlK49hSUkJqsvMzEReXp7K36HGwktjQP5H3cHBQWWfg4MDGGMoKCiAq6sr8vLyYGpqqlQ5KqaV51UT+eIXihhj3EUkv0irH6NpgLJMJtP4xw+A1vlWL5NivoqP2BTzZYypXEDy9NXz7d27N3766SdMmDBB7eqB/fv3x88//4zs7GyN56qYr/xcnZ2dIZVK4SxzxvCC4TiTfwZb725FUPcgWJn8+xhbfq7qnhSpy1dO8bMRi8WIuhoFBoZRHqPg6+SL5ILkRv9sFMuk6bORSCRqB1mp+2w05SuPrbyylFd26t6zpnwVz1VTeRsaQ3XHK5aputpiWFlZCZlMpvaRcl1iqK68YrEYRkZGcHZ2VvmSoE2+zbWOqEu+NdURcoqNHvn71JSvLuoIQ/ls+Koj7O3tuYZCTZ9NS68jGGNqz1Fxf3XyL4/qviOoy1ddmtres65lqr5P03sq7q/++6OLfOtTXsX9il/M9VEmbT43Pj4bXZRJ3T6pVKq2TmosvK4zUFN3IsV92qbTxNjYWCWdQCDg/mBWv2jl29T9QQWqWoPyfeoqdm3zrV4mxXzVVXYikQiMMbX5CoVCtfkOHz4cCQkJ2Lp1K37//XeIxWJ07NgR06ZNw+jRoyEUCrkGlbrzVcxXfq7yu4bl5eWY2GYibhTfQE5FDjZe24hVA1epnKu6z0hdvnKKn82N5zfwV9ZfEBmJsKjPIpUYVsfXZ6NYJk2fjWIaTedaW77V78iKRCKlxoG2+Sqeq6byNjSGtZ1rdbXF0MTEBFKptMExVFdemUwGY2Njlbuq2ubbnOsIbfNV/FdTvtXvstf22eiijjCUz4avOsLJyYkb36UpX6ojau+irG6f/C60vOGhLo1ivpr21/Se9f3+Utt7NqRM2uTb0PIq3uGvrKxs9DJpEyM+PpuGlknTPqFQqLZOaiwNWmcgNzcXTk5OWLVqldL0ovfu3YOXlxe2b9+OefPmKR2zePFibNy4EaWlpTAzM8P777+PDRs2oKSkROURkZOTE4YPH44ffviB20brDDS+q9lXEX66akzHV8O/wkC3gTrJVyKTYNxP43C/8D5meM/Au/3e1Um+hBBCmraWts4AaTmaxToD2vD09IS5uTnXr1BRQkICOnXqxPXDko8VqJ42Ozsbubm5Kn0kSePr59KPm+pz9Z+rUSJW7e9WH0dSjuB+4X3YmdrhPz7/0UmehBBCCCFEe7w0BoyNjREaGoojR44otXLS09Nx8eJFhIWFcdtGjRoFMzMzREdHK+URHR0NgUBQ41oGpPFE9ImAu5U7Mksysfna5gbnV1xZjO03tgMA3vR9EzYmNrUcQQghhBBCdK1ejYGTJ08iJiYGP//8M4CqmShiYmIQExPDjcJes2YNSktLERISgpMnT+Lo0aMIDg6Go6Mj3n333+4gDg4OWLlyJXbt2oUVK1YgLi4OUVFRWL16NWbPnk1rDOhBUlISbt68iaSkJG6bhcgCHw76EABw8N5B/C/rfw16j92Ju5Ffng8PGw+82vXVBuXVlKiLLdENii1/KLb8odjyp6ysDKWlpXVaeLO5OHDgAHr16gUzMzO4ubkhIiKCmz2qLpKSkmBqagqBQICrV69y21tybJujeo1WmDt3Ljf9HQD8+OOP+PHHHwFUTZvn4eEBLy8vXLp0CUuXLsX48eNhbGyMl156CVFRUSrT5a1YsQLW1tbYvn07oqKi4OLigmXLlmHFihUNODVSX5pmmfBz9cPErhNx8N5BRP4ZiSP/dwQWIgs1OdQsqzgLe5L2AADe7vs2REbqB5s1RzXN4EEahmLLH4otfyi2/JHP3CJ4/hgoqKF7q6UTYOveeAXj2b59+zBlyhTMnj0bmzdvRnJyMpYuXYqkpCScOXNG63ykUilmzpwJR0dHbhpgudpm6yFNS70aA/J5gmvTt29fnDt3Tqu0CxcuxMKFC+tTHKJjNc0U8Xbft/Hbo9/wuPgxtl7fivcHvF/n/Lf+vRUV0gr0a90Pw9oOa3B5m5KaYksahmLLH4otfyi2/BEIBICkAmb/fRkofao5oZUzEJEIGJtqTtNESKVSLF68GCNGjMDXX38NABg2bBisra3x+uuv4+TJk3j55Ze1ymvz5s149OgRli5dikWLFintq23GHdK06G8eI2KwauqaZSmyxOpBqzHn7Bz8cPcHBLUPQn+X/lrnnZibiF/u/wIAeK/fey2uIqFub/yh2PKHYssfii1/zM3NATMzwK4NUJoHQHXNBMAIsHEHhCZq9vHn+PHj+OCDD3Dv3j24u7tj0aJFKCgowJo1axp0x/3KlSvIysrCpk2blLZPmDABb7zxBo4ePapVYyAlJQWRkZE4cOAAt5ihouoLj5GmjebjJHU20G0gxncZDwBY9ecqlEm06zPIGEPU1SgAQEjHEHg7evNWRkIIIc1QZUndXuJSYOhiqG8IoGr70MVV6eqSbwOcOnUKYWFhaNWqFQ4ePIhPP/0U+/fvx/fff6+UTr4QVW0vxYXh5KufV1/xWyQSwcvLi9tfE8YYZs+ejZCQEPzf//1fg86VNA30ZIDUy7t938Xvj39HRlEGPr/+OZb6La31mAsZF3DtyTWYCk25BcYIIYQQra13032eBybX/ZjVhfV+u8jISLi7u+P06dPc4l2jRo2Ch4eHUrrAwEDExcXVmt/06dO5GRnli4w6ODiopHNwcNCqm/f27duRkJCAQ4cO1ZqWNA/UGCD1YmVihdUDV+PNc29i3519GOExAr2de2tML5aKuSlJp3WfBhdLl8YqKiGEEGIQSkpKcPXqVSxYsEBpFV8rKyuEhoYqTbO+a9culUWo1Km+MjhQ99Vz5R4+fIj3338fW7ZsQevWrWt9b9I8UGOAqMjKyoJUKoVQKISrq6vGdIPdB2Nsp7E4+s9RfPDHB4gJjYGZsZnatIeSD+Hh84dwMHPArJ6z+Cq6wdM2tqTuKLb8odjyh2JbR8sza0/z/1VWVnL/NxGJgOjRQHYiwKSAQAi49ABmxAKNOHatoKAAjDG1X7Srb+vUqZNW4wcUV6ht1aoVgKonBNXzy8/PV/vEQNH8+fPRo0cPjBs3Ds+ePQMAbsr44uJiFBYWwtbWVjm2Jo073oLoHo0ZICpycnKQnZ2NnJycWtO+1/89OFs44+Hzh9j29za1aQorCvHlzS8BAPN7zYelyFKn5W1K6hJbUjcUW/5QbPlDsa0jE0utXxIjU4gFJpAYmQKmVkBgZFVDAKj6NzCyansd8uRe9WRvbw+BQIAnT56o7MvOzlb6OTAwECKRqNbXzJkzuWN69uwJAEhISFDKSyKR4O7du+jRo0eN5UtMTMSVK1dgb2/PvebPnw+galai9u3bc/mJxWJIJJK6B4EYHHoyQBrExsQGqwauwvzz87Hnzh4EtQ9CL+deSmm+vvU1CisK4WnribDOYRpyIoQQ9WQyGc6dO4cDBw7gyZMncHR0xLhx4xAcHAyhUKjv4pGmwjMQcOsNZP5d9a9nYKMXwdLSEv369cOxY8cQFRXF3VUvLi7GiRMnlNLWp5vQgAED4OrqiujoaEycOJHbHhMTg+LiYoSF1fw3+MCBAygvL1fadurUKXzyySfYuXMnvL1p4o/mSMCa2KoRMplM5ZfD2tpa6TEZaZji4mLIZDIYGRnByspKq2NW/L4CP6X+BA8bD/wY+iPXXSijKAOvHHsFYpkY2wO3Y2iboXwW3eDVJ7ZEOxRb/ugzto8ePcKYMWNw7do1lX3dunXD8ePH0blz50Ytky7RdateRkYG2rZt26A8pFIp93+u0Zh6ETi5FHj5E8BTP+vcnDp1CsHBwRg6dCgWLVoEqVSKzz77DNnZ2UhPT1eaHag+9u7di6lTp2LOnDmYNGkSUlJSsGTJEvTv319p0bG4uDgEBgYiMjISkZGRGvOLjo5GeHg44uPj0a9fPwAaYku0ouna1uf3W3oyQFTU5w/Skv5LcDnzMtKep2HHzR14p+87AICt17dCLBPjBdcXMMR9iK6L2uTQH3v+UGz5o6/YFhUVISgoCPfu3VO7/86dOwgMDMS1a9dUVrZvKui65Y/aL6mew4AF/2v8wigYNWoUDh8+jMjISEycOBEuLi6YN28eMjMzsWfPngbnP2XKFAiFQmzYsAHR0dFwcHDAtGnTsG7dOqV0jDFIpdJ6NT6oAdC80JMBojOXMi7hrQtvwUhghL0v74WUSTH15FQIIMCPoT+iq0NXfReRENKEREVFYfHixQAADw8PREVF4cUXX0R8fDyWLFmCO3fuAACWL1+u8kWHNG26eDLQlIjFYvTq1Qvu7u5Kd+9J82OITwaoMUB06v3f3seJ+yfgaesJS5ElbuXewthOY/Hh4A/1XTRCSBPj5eXFPRVITExU6q+cnp4OT09PSCQSODs7Iysri/4ONCPNvTEwa9YsDB8+HK6ursjOzsbOnTsRFxeHM2fOICgoSN/FIzwyxMYAdRMiKsrLy8EYg0AggJmZ+qlCNVnmtwyXMy8jtTAVAGBubI4FvRfwUcwmqSGxJTWj2PJHH7GVyWRcQ8DX11dl4GK7du0wZMgQXLx4ETk5OSgoKOCmVWxK6Lrlj2L3F0NrKBYVFeG9997D06dPIRKJ0KdPH8TGxjaZhoAhx5bUHTUGiIp79+5BLBZDJBLB19e3Tsfamtrig4EfIOJiBAAg3DsczhbOfBSzSWpIbEnNKLb80UdsBQIBTExMUFlZifz8fG6QraLc3Fzu/6ampo1SLl2j65Y/ig0tCwsLfRdHSVNf3deQY0vqjppzROcC2wVijs8cBLULwnTv6fouDiGkCRIIBBg6tGr2sYyMDOzdu1dp/4kTJ7i51Pv06UMDcQkhpJ7oyQBR4eDgwK2IWV9v9X5LhyVqPnQRW6IexZY/+ort/Pnzce7cOQDAjBkzcOrUKW4AsWLjYMGCptsVka5b/hgbG3N3r4luUWybFxpATAghxCAxxjBz5kxER0drTDNmzBjExMTQl+lmprkPICYtlyEOIKZv0IQQQgySQCDA7t27sXbtWpXBwTY2Nli2bBkOHTpEDQFCCGkAejJACCHE4JWXl+P8+fPIycmBg4MDgoKCYGlpqe9iEZ7QkwHSXBnikwEaM0AIIcTgmZmZITg4WN/FIISQZocaA0RFcnIyJBIJjI2N0aVLF30Xp1mh2PKHYssfii1/KLb8oTUc+EOxbV6oMUBUlJWVcfNeE92i2PKHYssfii1/KLb8kclkNOMNTyi2zQt1tCcqBAIB9yK6RbHlD8WWPxRb/lBsCR8OHDiAXr16wczMDG5uboiIiEBxcbFWx2ZnZ2PBggXo2LEjzM3N0b59e8yaNQvp6ek8l5roCw0gJjollUoRGxuL3377DWKxGN27d8fEiRNhY2Oj76IRQghpImgAcf3t27cPU6ZMwezZszF58mQkJydj6dKl8PPzw5kzZ2o8tqKiAj179kRBQQHWrFmD7t274969e1i1ahWMjY1x584dWFtbN9KZNE80gJg0a7/++iumT5+OtLQ0pe3vvPMO1q5di4ULF9LdL0IIIYQnUqkUixcvxogRI/D1118DAIYNGwZra2u8/vrrOHnyJF5++WWNx//2229ISUnBN998g1mzZgEAAgICYGNjg8mTJ+PcuXMYO3Zso5wLaTx0O53oxJUrVzBy5EiVhgAAFBcXIyIiAlFRUY1fMEIIIc1GqbjUIF4Ndfz4cfj4+MDU1BQdO3bE1q1bsXr16gbfMLty5QqysrIQHh6utH3ChAmwsrLC0aNHazxePnbF1tZWabudnR0A0GDhZoqeDJAGY4xhwYIFKC8vBwAMGjQI77zzDuzs7LB3715u9dAVK1Zg6tSpcHFx0WNpCSGENFUDfhig7yIAABKmJ9T72FOnTiEsLAxDhw7FwYMHIZFIEBUVhSdPniilk0ql0KYnt5GREdeVJDExEQDg4+OjlEYkEsHLy4vbr8ngwYPRt29frF69Gu3bt0e3bt2QnJyM5cuXo0+fPggKCqrLqZImghoDRMXTp08hlUohFArh5ORUa/rr16/j2rVrAIAePXrg4sWLMDExAQAEBgbCysoK27Ztg1gsRnR0NJYtW8Zr+Q1ZXWNLtEex5Q/Flj8U25YnMjIS7u7uOH36NPe3ctSoUfDw8FBKFxgYiLi4uFrzmz59OnfTLS8vDwDg4OCgks7BwUHt03tFxsbGuHjxIl5//XX4+flx2wMCAnD48GHuyYFYLOb20UxYTR81BoiKzMxMbqo7bRsDcjNnzuQqN7k33ngD27ZtU0nbEtU1tkR7FFv+UGz5Q7Gtm78m/6V12rKyMm76S3Nzcx5Lpb2SkhJcvXoVCxYsUPpbaWVlhdDQUO5LPQDs2rVLZUCpOo6OjirbNHU3qq0bklgsxsSJE5GYmIivv/4aXbt2xYMHD7B27VoMHz4cFy5cgK2tLcRiMRdbagw0fbw1BmbMmIHvv/9e4/7Lly/jhRde0Jiua9euuHv3Ll/FIzqkWLlIpVKV/YrbaAAxIYSQ+rIQWWifWAzuC2udjuNRQUEBGGNo3bq1yr7q2zp16qR1NyG5Vq1aAah6QlA9v/z8fLVPDBTt3r0bJ0+eRHx8PPr16wcAGDJkCF588UV4enpiy5YtWLVqVa1lIk0Lb42BDz74AG+++abK9tDQUJiamqJ///7cNnNzc1y4cEEpnaG04lui9u3bQyaTaT2dleJn+c0332DBggVKg4y2b9+uNm1LVNfYEu1RbPlDseUPxZY/1Z9SGwJ7e3sIBAKV8QFA1fz+iurTTahnz54AgISEBHTv3p1LI5FIcPfuXUyaNKnGvG7cuAGhUIg+ffoobe/YsSNatWrFjTkwxNiS+uOtMeDp6QlPT0+lbXFxccjNzcXKlSshFAq57UZGRnjhhRf4KgqpI/msAdry9fXFwIEDcfnyZdy7dw8DBw7EokWLYG9vj7179yImJgYAYGpqihkzZvBQ4qajrrEl2qPY8odiyx+KLX+MjQ2vJ7SlpSX69euHY8eOISoqivtSXVxcjBMnTiilrU83oQEDBsDV1RXR0dGYOHEitz0mJgbFxcUICwurMS83NzdIpVLEx8djwIB/B2snJycjLy8Pbdq0AWCYsSX116iLjk2bNg179+5FamoqOnToAKCqO5H8ItUGLTpmmP7++28MGTIEJSUlGtNs27YN8+fPb8RSEUIIaYqa86Jjp06dQnBwMIYOHYpFixZBKpXis88+Q3Z2NtLT0yGTyRqU/969ezF16lTMmTMHkyZNQkpKCpYsWYL+/fsrLToWFxeHwMBAREZGIjIyEkBV3H18fGBpaYmVK1eia9euuH//PtavX48nT57g2rVr6Nq1a4PK19K16EXHCgsLERMTg8DAQK4hIFdWVgYXFxc8ffoUrq6uGDNmDD788MNa+7bJ3b59G+3bt1da5baiooIbc2Bvb4927dopHZOSkoLS0qq5gn19fZX25ebm4vHjxwCAdu3awd7entsnlUq5x2TW1tbo2LGj0rEPHjzA8+fPAQDe3t5Krednz57h4cOHAKpa39UHi926dQuMMZibm6NLly5K+zIyMpCfnw+gajyFYjec4uJipKamAgCcnZ3h6uqqdGxSUhI3QE3xsSEAZGVlIScnB0DV0xwrKytuX3l5Oe7duwegahaC6hdvcnIyysrKIBAI0Lt3b1y4cAHh4eFISkpSSmdvb4/PPvuMW8BEIpHg9u3bAAAbGxuV6+H+/fvcL0SPHj2UniIVFBRwS6K7u7urDJy6efMmAMDCwgKdO3dW2peeno6CggIAgJeXF0xNTbl9z58/x4MHDwBU9dusPv3p7du3IZFIYGpqCi8vL6V9mZmZePr0KYCqPp6WlpbcvtLSUqSkpACo6sspv6sid+/ePZSXl0MoFKJHjx5K+3JycpCVlQUA8PDwUJr3ubKyEnfu3AFQNR909VkoUlNTuQZ2z549lSqTvLw8PHr0CADQpk0bro8pUFUZJSRUTZlnZWWl8nQvLS0NhYWFAIBu3bopPSouLCzkZqpwdXWFs7Oz0rGJiYmQSqUwMzNT+WPy6NEjbhaMzp07w8Li3/69JSUl+OeffwAATk5OcHNzUzr27t27qKiogLGxMby9vZX2ZWdnc4/jO3ToQHUE9FdHVJ/q8OnTp8jMzARQ1VVG8Q451RH/aql1hGIdID8fiUQCoOops+JnLpVKUVFRAaDqjnX1Liw1DSQWi8XczDjV85XJZNyU2UKhUOl6AKquf/kX9+rlVczXxMRE6fd85MiR+OGHH/DRRx9h4sSJcHFxwbx585CZmYk9e/agoqKCG2tnbm6uNNZOIpGgsrISQNUsPtUH75aWliIsLAxSqRSbNm1CdHQ0HBwcMG3aNKxatYqr08zMzMAYg1QqhUwm42LYqlUr/PHHH9iwYQM++eQTZGVloXXr1vDz88OyZctU6snaPhvFGKr7bOobQ8YYysrKNH42DY0hUNVrpfq6Cor5mpmZKf3eKF6H6vKVX4fqbppmZmYiLy9PbXwbQ6M1Bvbv34+ysjLuC6Gcr68vfH19uUouLi4Omzdvxvnz5xEfH6/0h0cTiUSiMsiGMcZdRPKLtPoxilNjKZLJZNw+dS10bfOtXibFfNUNtJWPzlc3Ml8qlTYoX03nqpiv/Fzl8VQ8Tl2+8nOV/5L5+fkhMTERcXFxiI2NRX5+Pjp06IDw8HClL3CG+NkolklTDCUSidoWek2fTfV85bEVCAQwNjbmYqxp4LWmfBXPta6fubYxVHe8Ypmqqy2GlZWVkMlkSn8o1OVbn89GLBZz5yWPbV3yNZTr0NDriOppavtsqtcRmvKtHkND/Gz4qiMU37Omz6al1xGMsRoH06rbJz+mpmMV92nKo6b3rGuZ5EJCQhASEgKhUAgzMzOIxWL06tUL/fr1UylT9d8fbd7z1VdfxfTp05X2VVRUKF33AQEBXHrFNQ06deqE//73v0rHlpaWqpRLsWzalKmmz6i2Y2s6Tpf51lZeXZRJ3T759wN9abTGwO7du9GqVSuVZazffvttpZ+HDx+O3r17Y/z48fj6669V9qtjbGys8suiON2Vur5txsbGGqfDMjIy4vapq9i1zbd6mRTzVVfZiUQiMMbU5isUChuUr+K/mvKVn+vt27chFouVzkVdvvL9iuURCAQICAiAt7c3d9evemvfED8bxTJpiqGmKdRq+myq5yuPrUgkgq+vL0QiETfHeF3yVTxXTeVtaAxrO9fqaouhiYkJpFJpg2OorrzyLy83b97kYluXfA3lOjTUOkIuLS1N6SlIbZ+NujpCXXmrx9AQPxu+6oj79+8rpVOXL9URVcfWNBudun3yO7E1Ha+4XdP+mt6zrmWSmzdvHl566SW4ubkhPz8fO3fuxJ07d7B169YGl6mm4+pb3ur5Kj5tUfcdjO8yaRMjXZ2rLsukaZ9QKNTrOIxGGTNw69Yt+Pr6YtGiRdiyZUut6WUyGWxsbBAcHIyDBw+q7KMxA/y6efOm0hdWojsUW/5QbPlDseUPxVY9XYwZkN/NFggEKjel9O3VV1/Fn3/+iadPn0IkEqFPnz5Yvnw5Ro0ape+iacWQY2voWuyYgd27dwMAZs+erfUxjDH6gq8nNjY2kEgkNFsADyi2/KHY8odiyx+KLX+EQqHabjaG4NChQ/ouQoMYcmxJ3fFe+1RUVGDv3r3w8/NTGfykSUxMDEpLS2m6UT2pPliP6A7Flj8UW/5QbPlDseVP9UGlRHcots0L742BY8eOIT8/X+1TgYcPH2Ly5Ml47bXX0KlTJwgEAsTFxWHLli3w9vau05MEQgghhBBCSN3w3hjYvXs3LC0t8dprr6nss7GxQevWrbFp0yY8efIEUqkU7du3x8KFC7F8+XKl6dcIIYQQQgghusV7Y0BxgYvq7O3tceTIEb6LQAghhBBCCFGDRiwRFffv3+cGtFVfMIk0DMWWPxRb/lBs+UOx5U9FRQU3yJX6uOsWxbZ5ocYAUVFUVMRNdUd0i2LLH4otfyi2/KHY8ke+kBbNeKN7FNvmhebuJIQQQgghpIVqlEXHdIkWHeOf4jLx6laJJPVHseUPxZY/FFv+UGzV08WiY4pfbwzpDnZ0dDTCw8MBABcvXkRAQIDSfsYYOnfujNTUVPj7++PSpUuNX8haGGpsdS0zMxNfffUVxowZg169eukkT0NcdIy+QRMVQqGQexHdotjyh2LLH4otfyi2/BEIBNwrLS0Ny5cvh7+/PwYPHow5c+YgPj5er+WztrbmFmVVFBcXh9TUVFhbW+uhVNpRjG1zlpmZiTVr1uDGjRv6LgqvqDFASSzWbAAAGYpJREFUCCGEkGZr8+bN6NSpEz7++GP8+uuv+PPPP/H111/Dz88PM2bMgFgs1ku5Jk6ciMOHD+P58+dK23fv3o2BAweiXbt2eimXrpSVlaGJdT5psagxQAghhJBmKTo6Gu+8845SdyxF33//Pd56661GLlWVSZMmAQD279/PbSssLMThw4cxc+ZMlfSVlZVYu3YtvLy8YGpqCicnJ4SHh+Pp06dK6Q4ePIgRI0bA1dUV5ubm6NatG5YtW4aSkhKldPfv38drr70GNzc3mJqaonXr1ggMDFS6Cy4QCLB69WqVsnh4eGDGjBncz9HR0RAIBDhz5gxmzpwJJycnWFhYoKKiAgCQkpKCyZMnw9nZGaampujWrRu2b9+ulOelS5cgEAjwww8/YOnSpXB1dYWVlRVCQ0Px5MkTFBUVYc6cOXB0dISjoyPCw8NRXFyslAdjDDt27ECvXr1gbm4Oe3t7jB8/Hvfv31dKFxAQgB49eiA+Ph5DhgyBhYUFOnbsiA0bNkAmk3Hl6d+/PwAgPDycexIij4c28WsqqDFAVBQUFCAvLw8FBQX6LkqzQ7HlD8WWPxRb/lBs+VNWVoYVK1ZwP0dERODx48d4/vw5tm3bxk2J+dVXXyE1NbXRy2djY4Px48fj22+/5bbt378fRkZGmDhxolJamUyGV155BRs2bMDkyZPxyy+/YMOGDTh79iwCAgJQVlbGpU1JScHo0aOxe/dunDp1ChERETh06BBCQ0OV8hw9ejSuXbuGTz/9FGfPnsWXX36J3r1749mzZ1qVXyaTQSKRKG2bOXMmRCIR9uzZg5iYGIhEIiQlJaF///5ITEzExo0bceLECQQHB2PhwoVYs2aNSr7Lly9HTk4OoqOjsXHjRly6dAmTJk3CuHHjYGtri/3792PJkiXYs2cPli9frnTsG2+8gYiICAQFBeHYsWPYsWMHbt++jUGDBuHJkydKabOzs/H6669jypQp+Omnn/Dyyy/j/fffx969ewEAffr0wXfffQcAWLlyJS5fvozLly9j9uzZOomfQWFNjFQqZc+ePVN6SaVSfRerWblx4waLj49nN27c0HdRmh2KLX8otvyh2PKHYqteenp6g/M4fPgwA8AAsJCQEJX9a9eu5favXLmywe+nre+++44BYPHx8ezixYsMAEtMTGSMMda/f382Y8YMxhhj3t7ezN/fnzHG2P79+xkAdvjwYaW84uPjGQC2Y8cOte8lk8mYWCxmcXFxDAC7efMmY4yx3NxcBoBt2bKlxrICYKtWrVLZ3q5dO/b666+zkpISpXOaNm2aStqRI0eyNm3asMLCQqXtCxYsYGZmZiw/P58xxrhYhIaGKqWLiIhgANjChQuVto8ZM4Y5ODhwP1++fJkBYBs3blRKl5GRwczNzdmSJUu4bf7+/gwA++uvv5TSdu/enY0cOZL7WR7f7777TimdtvFTR9O1rc/vt/RkgBBCCCHNjmLXkLCwMJX9itv08WQAAPz9/eHp6Ylvv/0WCQkJiI+PV9tF6MSJE7Czs0NoaCgkEgn36tWrF1xcXJRmHLp//z4mT54MFxcXCIVCiEQi+Pv7AwDu3LkDAHBwcICnpyc+++wzbNq0CX///TfXPaYhxo0bp/RzeXk5zp8/j7Fjx8LCwkKp7KNHj0Z5eTmuXLmidExISIjSz926dQMABAcHq2zPz8/nugqdOHECAoEAU6ZMUXofFxcX+Pr6qszK5OLiAj8/P6VtPj4+ePjwYa3nyVf89IUWHSMq3N3dIZPJaLpWHlBs+UOx5Q/Flj8UW/5YWVlx/3/06JHKfsVt5ubmjVKm6gQCAcLDw/H555+jvLwcXbp0wZAhQ1TSPXnyBM+ePYOJiYnafHJzcwEAxcXFGDJkCMzMzLB27Vp06dIFFhYWyMjIQFhYGNedSCAQ4Pz58/jwww/x6aef4t1334WDgwNef/11rFu3rtaZjAQCAYyMjFQWy3N1dVX6OS8vDxKJBF988QW++OKLGssu5+DgoPSz/Jw1bS8vL4eVlRWePHkCxhhat26t9n2qr/DdqlUrlTSmpqZKXa40aWj8DA01BogKR0dHfReh2aLY8odiyx+KLX8otvwZPnw49/8dO3Zg9uzZ3JfViooKrF27ltsfFBTU6OWTmzFjBiIjI7Fz506sW7dObRpHR0e0atUKp06dUrtf/uXzwoULyMzMxKVLl7inAQDU9mNv3749N7VpcnIyDh06hNWrV6OyshI7d+4EUPXlWD4IWFFeXp7axkD1qUbt7e0hFAoxdepUzJ8/X23ZO3TooHZ7XTk6OkIgEOC3337jxoMoUretIbSJX1NBjQFCCCGENDuenp4ICQnBiRMnkJ2djW7dumHKlCmwsbHB/v37kZaWBgBwc3NT242osbi7u2Px4sW4e/cupk+frjZNSEgIDhw4AKlUigEDBmjMS/5lvPoX3127dtVYhi5dumDlypU4fPgwrl+/zm338PDArVu3lNJeuHBBZRYfTSwsLDBs2DD8/fff8PHx0fhkQxdCQkKwYcMGPH78GK+++qpO8pTHsbanBZri11RQY4AQQgghzdLOnTsxePBgPHz4EIWFhSrTWZqbm2P//v06v2tcVxs2bKhx/2uvvYZ9+/Zh9OjRWLRoEfz8/CASifDo0SNcvHgRr7zyCsaOHYtBgwbB3t4eb775JlatWgWRSIR9+/bh5s2bSvndunULCxYswIQJE9C5c2eYmJjgwoULuHXrFpYtW8almzp1Kj744ANERkbC398fSUlJ2LZtG2xtbbU+t61bt+LFF1/EkCFDMHfuXHh4eKCoqAj//PMPfv75Z1y4cKFuwdJAvphceHg4rl69iqFDh8LS0hJZWVn4/fff0bNnT8ydO7dOeXp6esLc3Bz79u1Dt27dYGVlBTc3N+Tm5moVv6aCGgOEEEIIaZbc3d1x5coVLFmyBAcPHkRlZSW3LygoCJ988gn69OmjxxJqRygU4qeffsLWrVuxZ88efPzxxzA2NkabNm3g7++Pnj17AqjqB//LL7/g3XffxZQpU2BpaYlXXnkFBw8eVDpPFxcXeHp6YseOHcjIyIBAIEDHjh2xceNGpXUXFi9ejOfPnyM6OhpRUVHw8/PDoUOH8Morr2hd9u7du+P69ev46KOPsHLlSuTk5MDOzg6dO3fG6NGjdRckVD0BeeGFF7Br1y7s2LEDMpkMbm5uGDx4sMpgYW1YWFjg22+/xZo1azBixAiIxWKsWrUK8+bN0yp+TYWAsaa1PJxMJkNRUZHSNmtraxp8pUM3b96EWCyGSCSCr6+vvovTrFBs+UOx5Q/Flj8UW/UyMjLQtm3bBuVRWloKxhgEAgEsLCyQm5uLq1evQiKRoHv37ioDSon2qseWaE/Tta3P77f0ZIAQQgghzZ6joyNGjRql72IQYnCoMUBUyOcCNjamy0PXKLb8odjyh2LLH4otf4yMjLi710S3KLbNC3UTIoQQQohB0UU3IUIMkSF2E6Jv0IQQQgghhLRQ1BgghBBCCCGkhaLGACGEEEIMThPrxUxIrQz1mqYRS0RFeno6N6CtXbt2+i5Os0Kx5Q/Flj8UW/5QbNUzNTVFWVlZg6atrKioUMqP6A7Ftn7KysoMMl70ZICoKCgoQH5+PgoKCvRdlGaHYssfii1/KLb8odiq16pVK+Tm5kIsFtc7D6lUColEAqlUqsOSEYBiWx9isRi5ublo1aqVvouigp4MEEIIIcSgCIVCODk5IScnBzKZrF55FBUVcdNfWltb67iELRvFtu6MjIzg5OQEoVCo76KooKlFiYqKigrul9wQH2c1ZRRb/lBs+UOx5Q/Flj8UW/5QbHWPViAmBoV+sflDseUPxZY/FFv+UGz5Q7HlD8W2eeGtuXHp0iUIBAK1rytXriilPXfuHAYOHAgLCws4OjpixowZyMnJ4atohBBCCCGEEDTCk4H169dj2LBhStt69OjB/T8uLg4vv/wygoODcfz4ceTk5GDp0qUIDAzE1atXqfVJCCGEEEIIT3hvDHTu3BkvvPCCxv2LFy9Gly5dEBMTA2PjquJ06NABgwcPxrfffou5c+cqpVc3xKG+g4uIeop91mhgkG5RbPlDseUPxZY/FFv+UGz5Q7HVPXXfZRtrWK9exww8fvwY8fHx+Pjjj7mGAAAMGjQIXbp0wdGjR7VqDJSUlPBe1paq+mAWojsUW/5QbPlDseUPxZY/FFv+UGz501iNAd6HKM+fPx/GxsawsbHByJEj8fvvv3P7EhMTAQA+Pj4qx/n4+HD7CSGEEEIIIbrHW2PA1tYWixYtwq5du3Dx4kVs3boVGRkZCAgIwOnTpwEAeXl5AAAHBweV4x0cHLj9hBBCCCGEEN3jrZtQ79690bt3b+7nIUOGYOzYsejZsyeWLFmCkSNHcvsEAoHaPDRtJ4QQQgghhDRco44ZsLOzQ0hICHbu3ImysjJuSWZ1TwDy8/PVPjEwMjKCpaWl0jb5lKWEEEIIIYQ0NYwxlTECjbWgbqMPIJafqEAg4KYYTUhIwOjRo5XSJSQkKE1BKmdkZESrDRNCCCGEEKIDjfqtuqCgACdOnECvXr1gZmYGd3d3+Pn5Ye/evZBKpVy6K1eu4N69ewgLC2vM4hFCCCGEENKiCBhP8xZNnjwZ7dq1Q79+/eDo6IiUlBRs3LgRqampOHnyJIKCggBUrVQ8fPhwhIaGYt68ecjJycGyZctga2tLi44RQgghhBDCI96eDPj4+OD06dOYPXs2goKCsGLFCnTv3h1//vknjIyMMHPmTHh5eSE4OBg2Nja4dOkSQkJC8NZbb2HYsGE4f/48TE1Ncf36dQQFBcHKygp2dnYICwvD/fv3tS7HuXPnMHDgQFhYWMDR0REzZsxATk4OX6etdxcuXOBia2lpCXd3d7zyyiu4du0al0YqlWLTpk0YNWoU2rRpAwsLC3Tr1g3Lli3Ds2fPtHqfgIAAbqyG4mvUqFF8nZreaRNbAJgxY4ba2Hh5eWn9XgcOHOCeoLm5uSEiIgLFxcW6PiWDoW1s1cW1LvFtidftjRs3EBwcjHbt2sHc3BwODg4YOHAg9u7dq5KW6tu60ya+VOfWj7bXLtW5dadtbKnObbhvvvkGAoEAVlZWKvsMpc7lbczAsmXLsGzZMrX7JkyYgLy8PCxatAjdu3fH06dPsXHjRly9ehU//vgjXnrpJQDA3bt3ERAQgF69euHQoUMoLy9HZGQkhgwZghs3bsDJyanGMsTFxeHll19GcHAwjh8/jpycHCxduhSBgYHN9qnDl19+qTa2L7zwAk6fPo2XXnoJZWVlWL16NSZNmoTZs2fD0dER169fx9q1a/Hzzz/j6tWrMDc3r/W9OnbsiH379ilts7Oz4+vU9E6b2MqZm5vjwoULSsdrE1MA2LdvH6ZMmYLZs2dj8+bNSE5OxtKlS5GUlIQzZ87o9JwMhbaxvXz5ssqxf/31FyIiIjB27Fit3qulXbfPnj1D27ZtMWnSJLi7u6OkpAT79u3D1KlTkZaWhpUrVwKg+ra+tIkv1bn1o+21C1CdW1faxpbq3IZ5/Pgx3nvvPbi5uaGwsFBpn0HVuUwPnjx5orKtqKiItW7dmgUGBnLbJkyYwBwdHVlhYSG3LS0tjYlEIrZkyZJa36d///6se/fuTCwWc9v++OMPBoDt2LGjgWdhmLSJrUQiYbm5uSrpfvzxRwaA7dmzp9b38ff3Z97e3g0vcBOi7XU7ffp0ZmlpWa/3kEgkzNXVlY0YMUJp+759+xgAFhsbW698DZ22sVVnxowZTCAQsJSUlFrfpyVet5oMGDCAtW3blvuZ6lvdUowv1bm6Vf3apTpXd6rHVh2qc7UXEhLCQkND1V6jhlTn6mVaHmdnZ5VtVlZW6N69OzIyMgAAEokEJ06cwLhx42BjY8Ola9++PYYNG4ajR4/W+B6PHz9GfHw8pk6dCmPjfx+ADBo0CF26dKn1+KZKm9gKhUJuWldFfn5+AMClI8q0iW1DXblyBVlZWQgPD1faPmHCBFhZWbXo61adoqIi/Pjjj/D390enTp34LGKz4+joyNWNVN/qnmJ8qc7VLcXYNlRLrXM1qS22VOdqb+/evYiLi8OOHTtU9hlanWswc3QWFhbi+vXr8Pb2BgCkpqairKwMPj4+Kml9fHzwzz//oLy8XGN+iYmJXFp1x8v3twTVY6uJ/BFrbenkUlNT4eDgAGNjY3h6emLFihUoKytrcHmbEk2xLSsrg4uLC4RCIdq0aYMFCxYgPz+/1vw0XbcikQheXl503VZz4MABlJSUYPbs2Vrn21KvW5lMBolEgqdPn2LHjh04ffo0li5dCoDqW12oKb6aUJ2rHW1iS3Vu/dT1uqU6Vzs5OTmIiIjAhg0b0KZNG5X9hlbnNvo6A5rMnz8fJSUlWLFiBYB/FyJTt/CYg4MDGGMoKCiAq6ur2vxqO17dQmfNVfXYqvP48WMsW7YM/fr1Q0hISK15vvjii5g4cSK8vLxQVlaGkydP4tNPP8Xvv/+Oixcvtpi1INTF1tfXF76+vtw6GXFxcdi8eTPOnz+P+Ph4tYOI5Gq7btPS0nR7AgZMm+t29+7dsLOzw7hx47TKsyVft/PmzcOuXbsAACYmJvj888/xxhtvAKD6Vhdqiq86VOdqr7bYUp1bf3W9bqnO1c68efPQtWtXzJ07V+1+g6tz69SpiCcrV65kANgXX3zBbZP3ezpw4IBK+vXr1zMALCsrS2Oe8v5+V65cUdk3Z84cZmpqqpvCGzh1sa0uLy+P+fj4MGdnZ5aamlrv94qKimIA2JEjR+qdR1OiTWzlYmJiGAC2adOmGtOtW7eOAWDZ2dkq+0aMGMG6du1a7/I2JdrENjExkQFg8+fPb9B7tZTr9uHDhyw+Pp798ssv7M0332RGRkbss88+Y4xRfasLNcW3Oqpz66YusZWjOlc7dYkt1bnaiYmJYSYmJuz27dvctupjBgytztV7Y2D16tUMAFu3bp3S9rt37zIAbPv27SrHvPfee0wgELCysjKN+Z46dYoBYL/88ovKvvHjxzNXV9eGF97AaYqtovz8fNanTx/WqlUrdvPmzQa9X3Z2NgOg1cCXpk6b2CqSSqXM0tKSvfrqqzWm27lzJwOgVInI9evXjw0cOLBe5W1KtI3t22+/zQCwv//+u0Hv15KuW0VvvvkmMzY2Zjk5OVTf8kAxvoqozm04TbFVRHVu/dQUW6pzayef+OLdd99lBQUF3GvSpEnM0tKSFRQUsOLiYoOrc/X6fGbNmjVYvXo1Vq9ejeXLlyvt8/T0hLm5ORISElSOS0hIQKdOnWBmZqYxb/njQk3Hy/c3VzXFVq6goABBQUF48OABzp49q7bvWX0018d+ctrEVh3GWK2x6dmzJwDV61YikeDu3bt03f5/lZWV2LNnD/r27YtevXrp5L2b+3VbnZ+fHyQSCe7fv0/1LQ8U4ytHda5uqIutOlTn1p2m2FKdq53c3Fw8efIEGzduhL29Pffav38/SkpKYG9vj9dff93w6tw6NR106MMPP2QA2MqVKzWmefXVV5mzszN7/vw5t+3hw4fMxMSELV26tNb38PPzYz169GASiYTbdvnyZQaAffnllw07AQOmTWzld6fs7OxYfHy8Tt73k08+YQDYsWPHdJKfIdImtuocPHiQAWBbtmypMZ18mrtRo0Ypbd+/fz8DwE6ePFnnMjcVdYmtfEpGXUxZ2RKuW3WmTp3KjIyMuDuAVN/qVvX4Up2rO9Vjqw7VufWjKbZU52qnrKyMXbx4UeU1cuRIZmZmxi5evMgSEhIYY4ZV5+qlMSDvLzZq1Ch2+fJllZfcnTt3mJWVFRs6dCiLjY1lR44cYT169GBubm4qF6pQKGQvvfSS0raLFy8yY2NjNnbsWHb27Fm2b98+1rZtW9ajRw9WXl7eKOfa2LSJbWlpKevfvz8TCARs69atKmn++ecfpTyrx/bXX39lI0eOZDt37mRnzpxhP/30E5s7dy6XTiqVNuo5NxZtYpuWlsYGDRrEPv/8cxYbG8tOnjzJli1bxszMzJi3tzcrLi7m8ktLS2NCoZDNnDlT6X327NnDALA5c+awixcvsq+++orZ2dmx4cOHN+r5NiZt6wS5UaNGMXNzc/bs2TONedJ1W+U///kPe/fdd9nBgwfZpUuXWExMDJs4cSIDwBYvXsylo/q2frSJL9W59aNNbKnOrR9t6wU5qnMbRt06A4ZU5+qlMeDv788AaHwpunr1KgsMDGQWFhbMxsaGjRkzRqXiZIwxAMzf319l+5kzZ9gLL7zAzMzMmIODA5s2bZraBY6aC21i++DBgxrTTJ8+XSnP6rFNSUlho0ePZu7u7szU1JSZmZmxnj17snXr1jXrP/raxDY/P5+NHTuWeXh4MHNzc2ZiYsI6d+7MlixZolKJyj+H6vFmjLEffviB+fj4MBMTE+bi4sIWLlzIioqKGuM09aIudUJ6ejozMjJi06ZNqzFPum6rfPvtt2zIkCHM0dGRGRsbMzs7O+bv7692oSuqb+tOm/hSnVs/2sSW6tz6qUu9QHVuw2laGM9Q6lzB/38TQgghhBBCSAvT/EZvEEIIIYQQQrRCjQFCCCGEEEJaKGoMEEIIIYQQ0kJRY4AQQgghhJAWihoDhBBCCCGEtFDUGCCEEEIIIaSFosYAIYQQQgghLRQ1BgghhBBCCGmhqDFACCGEEEJIC0WNAUIIIYQQQlooagwQQgghhBDSQv0/i1LKtl/xOoMAAAAASUVORK5CYII=\n", "text/plain": [ "
" ] }, "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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\n", 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" ] }, "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": "d30928964c1446b1a669d25959ed0b49", "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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\n", "text/plain": [ "
" ] }, "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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\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. 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