diff --git a/Preface.ipynb b/Preface.ipynb index e092f2b..51911de 100644 --- a/Preface.ipynb +++ b/Preface.ipynb @@ -1,7 +1,7 @@ { "metadata": { "name": "", - "signature": "sha256:1271401e3e500309f48f2586d911eb77b92fa00c7c1e66dfa6cb66278cada519" + "signature": "sha256:7debfded1814383cde2b22e0ae56fb73c58b54d6a35757938b396184ae06e906" }, "nbformat": 3, "nbformat_minor": 0, @@ -277,22 +277,23 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "This is a book for programmers that have a need or interest in Kalman filtering. The motivation for this book came out of my desire for a gentle introduction to Kalman filtering. I'm a software engineer that spent almost two decades in the avionics field, and so I have always been 'bumping elbows' with the Kalman filter, but never had the need to implement one myself. As I moved into solving tracking problems with computer vision I needed to start implementing them. There are classic textbooks in the field, such as Grewal and Andrew's excellent *Kalman Filtering*. But sitting down and trying to read these books is a dismal and trying experience if you do not have the background. Typcially the first few chapters fly through several years of undergraduate math, blithely referring you to textbooks on, for example, It\u014d calculus, and presenting an entire semester's worth of statistics in a few brief paragraphs. These books are good textbooks for an upper undergraduate course, and an invaluable reference to researchers and professionals, but the going is truly difficult for the more casual reader. Symbology is introduced without explanation, different texts use different words and variables names for the same concept, and the books are almost devoid of examples or worked problems. I often found myself able to parse the words and comprehend the mathematics of a defition, but had no idea as to what real world phenomena these words and math were attempting to describe. \"But what does that *mean?*\" was my repeated thought.\n", + "This is a book for programmers that have a need or interest in Kalman filtering. The motivation for this book came out of my desire for a gentle introduction to Kalman filtering. I'm a software engineer that spent almost two decades in the avionics field, and so I have always been 'bumping elbows' with the Kalman filter, but never had the need to implement one myself. As I moved into solving tracking problems with computer vision I needed to start implementing them. There are classic textbooks in the field, such as Grewal and Andrew's excellent *Kalman Filtering*. But sitting down and trying to read these books is a dismal and trying experience if you do not have the background. Typcially the first few chapters fly through several years of undergraduate math, blithely referring you to textbooks on, for example, It\u014d calculus, and present an entire semester's worth of statistics in a few brief paragraphs. These books are good textbooks for an upper undergraduate course, and an invaluable reference to researchers and professionals, but the going is truly difficult for the more casual reader. Symbology is introduced without explanation, different texts use different words and variables names for the same concept, and the books are almost devoid of examples or worked problems. I often found myself able to parse the words and comprehend the mathematics of a definition, but had no idea as to what real world phenomena these words and math were attempting to describe. \"But what does that *mean?*\" was my repeated thought.\n", "\n", "However, as I began to finally understand the Kalman filter I realized the underlying concepts are quite straightforward. A few simple probability rules, some intuition about how we integrate disparate knowledge to explain events in our everyday life and the core concepts of the Kalman filter are accessible. Kalman filters have a reputation for difficulty, but shorn of much of the formal terminology the beauty of the subject and of their math became clear to me, and I fell in love with the topic. \n", "\n", - "As I began to understand the math and theory more difficulties itself. A book or paper's author makes some statement of fact and presents a graph as proof. Unfortunately, why the statement is true is not clear to me, nor is the method by which you might make that plot obvious. Or maybe I wonder \"is this true if R=0?\" Or the author provide pseudocode - at such a high level that the implementation is not obvious. Some books offer Matlab code, but I do not have a license to that expensive package. Finally, many books end each chapter with many useful exercises. Exercises which you need to understand, but excercises with no answers. If you are using the book in a classroom, perhaps this is okay, but it is terrible for the independent reader. I loathe that an author witholds information from me, presumably to avoid 'cheating'. \n", - "None of this necessary, from my point of view. Certainly if you are designing a Kalman filter for a aircraft or missile you must be a thorough master of all of the mathematics and topics in a typical Kalman filter textbook. I just want to track an image on a screen, or write some code for my Arduino project. I want to know how the plots in the book are made, and chose different parameters than the author chose. I want to run simulations. I want to inject more noise in the signal and see how a filter performs. \n", + "As I began to understand the math and theory more difficulties presented themselves. For example, a author makes some statement of fact and presents a graph as proof. Unfortunately, why the statement is true is not clear to me, nor is the method by which you might make that plot obvious. Or maybe I wonder \"is this true if R=0?\" Or the author provides pseudocode written at such a high level that the implementation is not obvious. Some books offer Matlab code, but I do not have a license to that expensive package. Finally, many books end each chapter with many useful exercises. Exercises which you need to understand, but excercises with no answers. If you are using the book in a classroom, perhaps this is okay, but it is terrible for the independent reader. I loathe that an author witholds information from me, presumably to avoid 'cheating' by students.\n", + "\n", + "None of this necessary, from my point of view. Certainly if you are designing a Kalman filter for a aircraft or missile you must be a thorough master of all of the mathematics and topics in a typical Kalman filter textbook. In contrast, I just want to track an image on a screen, or perhaps write some code for my Arduino project to filter data from a weather station. I want to know how the plots in the book are made, and chose different parameters than the author chose. I want to run simulations. I want to inject more noise in the signal and see how a filter performs. \n", "\n", "I wrote this book to address all of those needs. This is not the book for you if you program avionics for Boeing or design radars for Ratheon. Go get a degree at Georgia Tech, UW, or the like, because you'll need it for that kind of work. This book is for the hobbiest, the curious, and the working engineer that needs to filter or smooth data. \n", "\n", - "This book is interactive. While you can read it online as static content, I urge you to use it as intended. It is written using IPython Notebook, which allows you to combine text, python, and python output in one place. Every plot, every piece of data in this book is generated from Python that is available to you right inside the notebook. Want to double the value of a parameter. Click on the Python cell, change the parameter's value, and click 'Run'. A new plot or printed output will appear in the book. \n", + "This book is interactive. While you can read it online as static content, I urge you to use it as intended. It is written using IPython Notebook, which allows you to combine text, Python, and Python output in one place. Every plot, every piece of data in this book is generated from Python that is available to you right inside the notebook. Want to double the value of a parameter. Click on the Python cell, change the parameter's value, and click 'Run'. A new plot or printed output will appear in the book. \n", "\n", "This book has exercises, but it also has the answers. I trust you. If you just need an answer, go ahead and read the answer. If you want to internalize this knowledge, try to implement the exercise before you read the answer. \n", "\n", - "This book has supporting libraries for computing statistics, plotting various things related to filters, and for the various filters that we cover. This does require a strong caveat; most code is written for didactic purposes. It is rare that I chose the most efficient solution (which often obscures the intent of the code), and I mostly did not concern myself with numerical stability. This is important to understand - Kalman filters in aircraft are carefully designed and implemented to be numerically stable; the naive implemention is not stable in many cases. If you are serious about Kalman filters this book will not be the last book you need. My intention is to introduce you to the concepts and mathematics, and to get you to the point where the textbooks are approachable.\n", + "This book has supporting libraries for computing statistics, plotting various things related to filters, and for the various filters that we cover. This does require a strong caveat; most of code in the book is written for didactic purposes. It is rare that I chose the most efficient solution (which often obscures the intent of the code), and I mostly did not concern myself with numerical stability. This is important to understand - Kalman filters in aircraft are carefully designed and implemented to be numerically stable; the naive implemention is not stable in many cases. If you are serious about Kalman filters this book will not be the last book you need. My intention is to introduce you to the concepts and mathematics, and to get you to the point where the textbooks are approachable.\n", "\n", - "Finally, this book is free. The cost for the books required to learn Kalman filtering is somewhat prohibitive even for a Silicon Valley engineer like myself; I cannot believe the are within the reach of someone in a depressed economy, or a financially struggling student. I have gained so much from free software like Python, and free books like those from Allen B. Downey [here](http://www.greenteapress.com/). It's time to repay that. So, the book is free, it is hosted on free servers, and it uses free software for all of the code. " + "Finally, this book is free. The cost for the books required to learn Kalman filtering is somewhat prohibitive even for a Silicon Valley engineer like myself; I cannot believe the are within the reach of someone in a depressed economy, or a financially struggling student. I have gained so much from free software like Python, and free books like those from Allen B. Downey [here](http://www.greenteapress.com/)[1]. It's time to repay that. So, the book is free, it is hosted on free servers, and it uses free software for all of the code. " ] }, { @@ -314,7 +315,7 @@ "You may access this book via nbviewer at any by using this address:\n", "http://nbviewer.ipython.org/github/rlabbe/Kalman-Filters-and-Random-Signals-in-Python/blob/master/Introduction.ipynb\n", "\n", - "Finally, you may generate output in a variety of formats. I will not cover how to do that, other than to point you to [IPython nbconvert](http://ipython.org/ipython-doc/rel-1.0.0/interactive/nbconvert.html). You can convert this book into static HTML pages, latex, or PDF. While I don't recommend it particularly, it is useful for those that don't want to program and/or are working offline." + "Finally, you may generate output in a variety of formats. I will not cover how to do that, other than to point you to [IPython nbconvert](http://ipython.org/ipython-doc/rel-1.0.0/interactive/nbconvert.html)[2]. You can convert this book into static HTML pages, latex, or PDF. While I don't recommend it particularly, it is useful for those that don't want to program and/or are working offline." ] }, { @@ -338,7 +339,7 @@ "You will need a recent version of NumPy, SciPy, and Matplotlib installed. I don't really know what the minimal might be. \n", "I have numpy 1.71, SciPy 0.13.0, and Matplotlib 1.3.1 installed on my machines.\n", "\n", - "Personally, I use the Anaconda Python distribution in all of my work, [available here](https://store.continuum.io/cshop/anaconda/). I am not selecting them out of favoritism, I am merely documenting my environment. Should you have trouble running any of the code, perhaps knowing this will help you." + "Personally, I use the Anaconda Python distribution in all of my work, [available here](https://store.continuum.io/cshop/anaconda/)[3]. I am not selecting them out of favoritism, I am merely documenting my environment. Should you have trouble running any of the code, perhaps knowing this will help you." ] }, { @@ -391,6 +392,23 @@ "source": [ "rlabbejr@gmail.com" ] + }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Resources" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "[1] http://www.greenteapress.com/\n", + "[2] http://ipython.org/ipython-doc/rel-1.0.0/interactive/nbconvert.html\n", + "[3] https://store.continuum.io/cshop/anaconda/\n" + ] } ], "metadata": {} diff --git a/g-h_filter.ipynb b/g-h_filter.ipynb index b54fdcb..2b44e60 100644 --- a/g-h_filter.ipynb +++ b/g-h_filter.ipynb @@ -1,7 +1,7 @@ { "metadata": { "name": "", - "signature": "sha256:2a864f60529fef582f39940035399ce8c5b054c28d9216e0503b36798631d661" + "signature": "sha256:42e44e3dc2e264d736fbf0083bcc71c2e0763b6c55775704d7e2394881c8bcab" }, "nbformat": 3, "nbformat_minor": 0, @@ -250,7 +250,7 @@ "output_type": "pyout", "prompt_number": 1, "text": [ - "" + "" ] } ], @@ -285,7 +285,7 @@ "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 \"160lb\", and the second (B) reads \"170lbs\". What can we conclude about your weight?\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", @@ -297,13 +297,13 @@ "\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 more than 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 measure. 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 probably the answer is somewhere between A and B. \n", "\n", - "In mathematics this concept is formalized as *expected value*, and we will cover it in depth later. For now ask youself what would be the 'usual' thing to happen if we made one million separate readings. Some of the times both scales will read too low, sometimes that will both 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 180lbs. 160lbs is a big error. But if we choose a weight between 160lbs and 170lbs our estimate will be better than 160lbs. The same argument holds if both scales returned a value greater than the actual weight.\n", + "In mathematics this concept is formalized as *expected value*, and we will cover it in depth later. For now ask youself what would be the 'usual' thing to happen if we made one million separate readings. Some of the times both scales will read too low, sometimes that will both 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 just the average of A and B. $\\frac{160+170}{2} = 165$.\n", "\n", "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 just use it instead of B? Can B possibly improve our knowledge over A alone?\n", "\n", - "The answer, perhaps counterintuitively, is yes, it can. Consider this case. We know scale A is accurate to 1 lb. In other words, if we weight 170 lbs, it could report 169,170, or 171 lbs. We know that scale B is accurate to 9 lbs. We do a reading, and A=160, and B=170. What should we estimate our weight to be?\n", + "The answer, perhaps counterintuitively, is yes, it can. Consider this case. We know scale A is accurate to 1 lb. In other words, if we weight 170 lbs, it could report 169, 170, or 171 lbs. We know that scale B is accurate to 9 lbs. We do a reading, and A=160, and B=170. What should we estimate our weight to be?\n", "\n", "Well, if we say 160 lbs we would be wrong, because B can only be 9 pounds off, and 170 lbs - 160 lbs is 10 lbs. 160 is not a possible measurement for B. In fact, the only number that satifies all of the constraints is 161 lbs. That is 1 lb within the reading of A, and 9 lbs within the reading of B. \n", "\n", @@ -313,13 +313,13 @@ "\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. \n", "\n", - "So, 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 1,000,000 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. I will not prove it, but it can be proved that the average of a large number of weighings will be extremely close to my actual weight. Consider a simple case - the scale is accurate to within 1 lb. If I weigh 170, it will return one of 169, 170, and 171. The average of a bunch of 170 is 170, so we can exclude those. What is left is measurements of 169 and 171. But we know there will be as many 169s as there are 171s. The average of those will also be 170, and so the average of all must be 170, my true weight. It's not that hard to extend this to any arbitrary accuracy.\n", + "So, 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 1,000,000 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. I will not prove it, but it can be proved that the average of a large number of weighings will be extremely close to my actual weight. Consider a simple case - the scale is accurate to within 1 lb. If I weigh 170, it will return one of either 169, 170, or 171. The average of a bunch of 170 is 170, so we can exclude those. What is left is measurements of 169 and 171. But we know there will be as many 169s as there are 171s. The average of those will also be 170, and so the average of all must be 170, my true weight. It's not that hard to extend this to any arbitrary accuracy.\n", "\n", - "Okay, great! We have an answer, and phone the UB Thin chain to tell them the good news. As you might expect, their CEO does not share your enthusiam. First, no one has the patience to weigh themselves a million, or even a hundred times. Second, people are far less interested in what they weigh than whether they are actually losing weight or not. \n", + "Okay, great, we have an answer! But it is not a very good answer. No one has the patience to weigh themselves a million, or even a hundred times. \n", "\n", "So, let's play 'what if' again. 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 - bad measurements. 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! The CEO of UB Thin will not be interested in buying this.\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 - bad measurements. 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! \n", "\n", "Shall we give up? No, let's play 'what if'. 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, but it seems pretty likely that my weight held steady.\n", "\n", @@ -330,17 +330,11 @@ "cell_type": "code", "collapsed": false, "input": [ - "%matplotlib inline\n", - "from __future__ import division, print_function\n", - "import matplotlib.pyplot as plt\n", - "import matplotlib.pylab as pylab\n", - "import numpy as np\n", - "\n", - "# make all plots a reasonable size\n", - "pylab.rcParams['figure.figsize'] = 12,6\n", - "\n", - "weights = [158.0, 164.2, 160.3, 159.9, 162.1, 164.6, 169.6, 167.4, 166.4, 171.0]\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", "plt.plot(weights)\n", + "plt.xlabel('day')\n", + "plt.ylabel('weight (lbs)')\n", "plt.show()" ], "language": "python", @@ -349,21 +343,21 @@ { "metadata": {}, "output_type": "display_data", - "png": 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JOZQvzkrZQTmZU1ZmlJMZb+e0vrSR/KoWLpie5NX39QSdU2YCIafeG3hcnZPG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\nZzVYTbA9IkKDuXXhBK5els+ExChmpOj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Pt+0zvx2VrkiLDUP/QA+bqIfb3O7u9pU/l5SUAADmzp2L7pDtITIajQbz5s275obGCRMm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\nAAAASUVORK5CYII=\n", "text": [ - "" + "" ] } ], - "prompt_number": 2 + "prompt_number": 117 }, { "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. Lets look at that in a chart. We can't be sure, but that surely looks like a weight gain, and a signifant weight gain at that. Let's test this assumption with some more plots. It is easier to 'eyeball' data sometimes.\n", + "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. Lets look at that in a chart. We can't be sure, but that surely 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 hypothesis. First, let's assume we held the same weight. To get that number, we agreed that we should just average all the measurements. Let's look at that." + "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 just average all the measurements. Let's look at that." ] }, { @@ -372,8 +366,10 @@ "input": [ "import numpy as np\n", "ave = np.sum(weights) / len(weights)\n", - "plt.plot([0,9], [ave,ave], c='r')\n", + "plt.plot([0,12], [ave,ave], c='r')\n", "plt.plot(weights, c='b')\n", + "plt.xlabel('day')\n", + "plt.ylabel('weight (lbs)')\n", "plt.show()" ], "language": "python", @@ -382,13 +378,13 @@ { "metadata": {}, "output_type": "display_data", - "png": 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+dAOP7t1LuOIKP99/b6Nt22yWLi2keXOdDf416giLiEhc27HDzsKFqWzerP1R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\nl2z3mqkjAEmzgVuBwylj2C+z/ee6qbpH0pHAXcC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3qzwe4Mknw9GmjRPJyXapyyESWllnrr06ct2qVSvce++9UCgUqFKlCgAgOjoa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\nswAAAABJRU5ErkJggg==\n", "text": [ - "" + "" ] } ], - "prompt_number": 3 + "prompt_number": 119 }, { "cell_type": "markdown", @@ -396,7 +392,7 @@ "source": [ "That doesn't look very convincing. \n", "\n", - "Now, let's assume we we gained weight. How much? I don't know, but numpy does! We just 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 squared fit\". Let's not worry about the details of that computation, and just plot the results." + "Now, let's assume we we gained weight. How much? I don't know, but numpy does! We just 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, or why we are writing our own filter if numpy provides one, and just plot the results." ] }, { @@ -406,8 +402,9 @@ "xs = range(len(weights))\n", "line = np.poly1d(np.polyfit(xs, weights, 1))\n", "plt.plot (xs, line(xs), c='r')\n", - "\n", "plt.plot(weights, c='b')\n", + "plt.xlabel('day')\n", + "plt.ylabel('weight (lbs)')\n", "plt.show()" ], "language": "python", @@ -416,13 +413,13 @@ { "metadata": {}, "output_type": "display_data", - "png": 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+iIrgQyjra2rzZguvvOLgmWfcVaml+rC0IywiIknnxRcdVK8e5vrrNTM4Hpl+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\ny0l2Uk72KSt7lJN9yip59lcILwKeAmYnjr3Ak8AvgFeA9on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LwNSpesh5HyAip2DPNRGRQEyapMT162LMnav3dChldvSoBP37B2HIECPi4kxe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\nJeH8+c8R/P3vhdx5pzblERER8aWK9lxrWshZPv/czMmTJrp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"text": [ - "" + "" ] } ], - "prompt_number": 4 + "prompt_number": 120 }, { "cell_type": "markdown", @@ -432,7 +429,7 @@ "\n", "\"But is it impossible?\" pipes up a coworker.\n", "\n", - "Let's try something crazy. Let's assume that somehow I know I am gaining about one lb a day. It doesn't matter how I know that, right now, just assume I know it somehow. Maybe I am eating a 6000 calorie a day diet, which would result in such a weight gain. Maybe there is another way. Let's just see if we can make use of such information if it was available.\n", + "Let's try something crazy. Let's assume that somehow I know I am gaining about one lb a day. It doesn't matter how I know that right now, just assume I know it somehow. Maybe I am eating 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. Let's just 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 just 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:" ] @@ -450,9 +447,9 @@ { "metadata": {}, "output_type": "display_data", - "png": 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GG27ocbd8xYoVGjlypCRp4MCBSk9Pb/+nnqs3MMfWHFdVVdlqPeF2TP5BOp4y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\nb0Jwkb85ZG8W+ZtF/uaQvXM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"text": [ - "" + "" ] } ], @@ -462,7 +459,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "Okay, but what good is this? Sure, we could just assume the 1 lb/day is accurate, and just predict our weight for 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." + "Okay, but what good is this? Sure, we could just assume the 1 lb/day is accurate, and just predict our weight for 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." ] }, { @@ -477,9 +474,9 @@ { "metadata": {}, "output_type": "display_data", - "png": 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RykrqBg2iZr/9YMCA0MNSHNprsbgB2ACsjtlXA7xc/3FTzP4f1R+3EpiZwDEq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\nJEnqOXpVgQzR2dc777yzxccGDx7c+PX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MTP3F75VXVurxx0spjv1EowXy6NGj9dRTT7m2HQ6Hli1bpuzsbL3++uvKysqqdfyTTz6p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\ncvy4nF26NPpeGxNSUCCVlMh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ggw+22WsCAID2jQLZQ05n8xf9qLklt0nu423rXqiXXnpJ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\nKru7uzQaDdLpNJOTk0Oo+vdRz/1/tNt3ux6QLy8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"text": [ - "" + "" ] } ], @@ -495,10 +492,9 @@ "\n", "So what do we do? If we only take data from the measurement than the prediction will not affect the result. If we only take data 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. \n", "\n", - "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 like between 159 and 164.2. \n", + "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 like between 159 (the prediction) and 164.2 (the measurement). \n", "\n", - "Should it be half way? Maybe, but in general it seems like we might know that our prediction is very accurate or very inaccurate. Probably the accuracy of our prediction differs from the accuracy of the scale. Recall what we did when A was much more accurate than B - we scaled the answer to be closer to A than B. Let's look at that in a chart.\n", - "**ESTIMATE AND PREDICTION SHOULD NOT USE THE SAME SYMBOLOGY HAT**" + "Should it be half way? 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 A was much more accurate than B - we scaled the answer to be closer to A than B. Let's look at that in a chart." ] }, { @@ -513,9 +509,9 @@ { "metadata": {}, "output_type": "display_data", - "png": 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/2XsaMWIEc+bMYcKECdx4443k5OTw1ltvkZiYWGMBXNdYvc3LFyNHjmTTpk3s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\nxpEjR+p1Ps9eqPpm5aucnBwAWrZsWeM+y5Yt4/L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LFi1CUlISDh48iMTExAr7f/jhh4iMjIREwjX+GiP2oYnF/MVh9mIxf7GYf8MZMECHo0fv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\n7NgxfPDBB4iMjBQ9PI9jfREBNSxmLxbzF4v5i8P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"text": [ - "" + "" ] } ], @@ -525,38 +521,55 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "Now tet's try a randomly chosen number: $\\frac{6}{10}$. Our estimate will be six tenth the measurement and the rest will be from the prediction. Let's just code that up and see the result. 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)." + "Now let's try a randomly chosen number: $\\frac{4}{10}$. 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", + "$$ \\verb,new estimate, = \\verb,prediction, + \\frac{4}{10}(\\verb,measurement, - \\verb,prediction,)\n", + "$$\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 just code that up and see the result 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)." ] }, { "cell_type": "code", "collapsed": false, "input": [ - "w = 160\n", - "gain_rate = 1\n", - "time_step = 1\n", - "scale_factor = 6/10\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", - "# store the filtered results\n", - "estimates = []\n", + "time_step = 1 # day\n", + "scale_factor = 4/10\n", "\n", - "# most filter literature uses 'z' for measurements\n", - "for z in weights: \n", - " # predict new position\n", - " w = w + gain_rate * time_step\n", - " \n", - " # update filter \n", - " w = w * (1-scale_factor) + z * scale_factor\n", - " estimates.append(w)\n", + "def predict_using_gain_guess(weight, gain_rate): \n", + " # store the filtered results\n", + " estimates = []\n", "\n", - " \n", - "plt.xlim([0,10])\n", + " # most filter literature uses 'z' for measurements\n", + " for z in weights: \n", + " # predict new position\n", + " prediction = weight + gain_rate * time_step\n", "\n", - "p1, = plt.plot (estimates, 'b--')\n", - "p2, = plt.plot(weights, c='r')\n", - "p3, = plt.plot([0,9],[160,170],c='g')\n", - "plt.legend([p1,p2,p3], ['filter', 'measurements', 'actual'], 2)\n", - "plt.show()" + " # update filter \n", + " weight = prediction + scale_factor * (z - prediction)\n", + "\n", + " # save for plotting\n", + " estimates.append(weight)\n", + "\n", + "\n", + " # plot results\n", + " n = len(weights)\n", + " plt.xlim([1, n])\n", + "\n", + " p1, = plt.plot (range(1, n+1), estimates, 'b--')\n", + " p2, = plt.plot(range(1, n+1), weights, c='r')\n", + " p3, = plt.plot([1, n],[160, 160+n],c='g')\n", + " plt.legend([p1, p2, p3], ['filter', 'measurements', 'actual'], 2)\n", + " plt.xlabel('day')\n", + " plt.ylabel('weight (lbs)')\n", + " plt.show()\n", + "\n", + "predict_using_gain_guess (weight=160, gain_rate=1)" ], "language": "python", "metadata": {}, @@ -564,53 +577,106 @@ { "metadata": {}, "output_type": "display_data", - "png": 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m7DUXxCWdFydOWLj33grcVXELXTK+IPvll0r0/lI8NFIsIiIlxnLiBL4ffkjy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\nIzohmgV7FhBaJZSIsAh61O+Br5fvZc/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56KEYWrRwMW9ergpiEREDaRr4ChY5bRpFQ4ZA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bc/nyZYuPbd++nf79+wPw008/0axZM4KDgwGoV68ep06dIjQ01BZhCiGEEMJN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"text": [ - "" + "" ] } ], - "prompt_number": 8 + "prompt_number": 116 }, { "cell_type": "markdown", "metadata": {}, "source": [ - "That is pretty good! The blue dots, showing our 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. This may strike you as silly; of course the data will look good if we assume the conclusion, that our weight gain is around 1 lb.\n", + "That is pretty good! The blue dots, showing our 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", - "But, what if? What if instead of just leaving the weight gain at 1 lb, we compute it from our estimate. In other words, our first estimate is 162.28. We started at 158; this implies a weight gain not of 1, but 4.28 lbs. Can we use this information somehow? It kind of 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", - "So, should we just set the new gain/day to 4.28 lbs? Hmm, sounds like our same problem again. We have two numbers (the gain/day for yesterday and for today), and want to combine them somehow to get tomorrow's gain. Let's use our same tool, and the only tool we have so far - take a combination of the two. This time I will use another arbitrarily chosen number, $\\frac{2}{3}$." + "This 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 see what happens if I predict that there is no weight gain." ] }, { "cell_type": "code", "collapsed": false, "input": [ - "import numpy.random as random\n", - "w = 160\n", - "gain_rate = 1\n", - "time_step = 1\n", - "weight_scale = 6/10\n", - "gain_scale = 2/3\n", + "predict_using_gain_guess (weight=160, gain_rate=0)" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "metadata": {}, + "output_type": "display_data", + "png": 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Vfg0QERFJRH4+1J9/Du/kZJg6dULJ5Mkw3/Hcl71kZ2dXazIFUR9oPHfuHEpKSioV1jk5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+ "text": [ + "" + ] + }, + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "[159.2, 161.2, 160.84, 160.464, 161.1184, 162.51104, 165.346624, 166.1679744, 166.26078464, 168.156470784, 169.3738824704, 170.66432948224]\n" + ] + } + ], + "prompt_number": 113 + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Clearly a filter that requires us to correctly guess a rate of change is not very useful. \n", + "Even if our initial guess was useful, the filter will fail as soon as that rate of change changes. If I stop overeating the filter will have extremely difficulty in adjusting to that change. \n", "\n", + "But, 'what if'? What if instead of just 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", + "So, should we just set the new gain/day to 4.4 lbs? Hmm, sounds like our same problem again. Yesterday we though the weight gain was 1 lb, today we think it is 4.4 lbs. We have two numbers, and want to combine them somehow. 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", + "$$ \\verb,new gain, = \\verb,old gain, + \\frac{1}{3}\\frac{\\verb,measurement, - \\verb,predicted weight,}{\\verb,1 day,}\n", + "$$" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "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 = []\n", "\n", "for z in weights:\n", " # prediction step\n", - " w_prediction = w + gain_rate*time_step\n", + " weight = weight + gain_rate*time_step\n", " gain_rate = gain_rate\n", " \n", - " # update step\n", - " gain_rate = gain_rate * 1-gain_scale + ((z - w) * gain_scale/time_step)\n", - " w = w_prediction * (1-weight_scale) + (z * weight_scale)\n", + " # update step \n", + " residual = z - weight\n", " \n", - " estimates.append(w)\n", + " gain_rate = gain_rate + gain_scale * (residual/time_step)\n", + " weight = weight + weight_scale * residual\n", + " \n", + " estimates.append(weight)\n", "\n", - "p1, = plt.plot (estimates, 'b--')\n", - "p2, = plt.plot(weights, c='r')\n", - "p3, = plt.plot([0,9],[160,170],c='g')\n", - "plt.legend([p1,p2,p3], ['filter', 'measurements', 'actual'], 2)\n", + "# plot results\n", + "n = len(weights)\n", + "plt.xlim([1, n])\n", + " \n", + "p1, = plt.plot (range(1, n+1), estimates, 'b--')\n", + "p2, = plt.plot(range(1, n+1), weights, c='r')\n", + "p3, = plt.plot([1 ,n], [160,160+n], c='g')\n", + "plt.legend([p1, p2, p3], ['filter', 'measurements', 'actual'], 2)\n", + "plt.xlabel('day')\n", + "plt.ylabel('weight (lbs)')\n", "plt.show()" ], "language": "python", @@ -619,25 +685,25 @@ { "metadata": {}, "output_type": "display_data", - "png": 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ZO3UideNGfNetI+TRRzEdO+bwczjbf/6TzuDBfw2Cy/I1VZDz5vN8tO8jOi7v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\ncpctK9fjNOnNBuEwaX/+M+GkJPKmTnX8SGIsBAKQWMo5nEO/qDlB4rv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atQqdTsfQoUPJyMi45nzScy2EEEIIe/OfNg1VdjaFS5Y45XrW2j5iI2JlddrN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\nyM+fh+2xx1x6XkEADhxQ4P77HTd93BW5rqrGPirK3rUrLEOGQDthAoy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"text": [ - "" + "" ] } ], - "prompt_number": 9 + "prompt_number": 115 }, { "cell_type": "markdown", "metadata": {}, "source": [ - "I think this is starting to look really good. We used no methodology for choosing our scaling factors of $\\frac{6}{10}$ and $\\frac{2}{3}$ (actually, they are not particularly good choices for this problem), and we 'luckily' choose 1 lb/day as our initial guess for the weight gain, but otherwise all of the reasoning followed from very reasonable assumptions.\n", + "I think this is starting to look really good. 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), and we 'luckily' choose 1 lb/day as our initial guess for the weight gain, but otherwise all of the reasoning followed from very reasonable assumptions.\n", "\n", "One final point before we go on. In the prediction step I wrote the line\n", "\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 next value for **all** state variables, both *weight* and *gain_rate*. In this case we are assuming that the the gain does not vary, but when we generalize this algorithm we will remove that assumption. " + "This obviously has no effect, and can be removed. I wrote this to emphasize that in the prediction step you need to predict next value for **all** variables, both *weight* and *gain_rate*. In this case we are assuming that the the gain does not vary, but when we generalize this algorithm we will remove that assumption. " ] }, { @@ -686,7 +752,7 @@ "output_type": "display_data", "png": 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Ro0c3+JjVpk2bhi1btuDo0aNmpa8KCgowb948AMDHH3+MoKAgrFixAqWlpfD3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\nuXOxYMECi1gmT56M33//HU8++STKy8sxa9Ysea7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Y+RcIUQ6HQ3l5eT2ub2xs1LFjxxQf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\n2t38ut1JSEhQQUGBCgoKOFcViHCEVgARKyoqSiNGjNCIESPU1tamQ4c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Ke4p3ALcD/3fyQFpoJyIS4pxOEtq1o2DSJFydO5sdTXByOrGNGkXkhg3kORx4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\n5YUKnM4vaTRia9IEW5MmWG49oIwWzGVtuWaZd1Q4I3khnJG8EK5wr6J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5WN51OQ4OO4jRzUf7bEHszvtF4OLFcLRowW29K4EyrT5hsViQlZWFLVu2ICQk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\nb3dvpaMsfTw8bk/T1qMHpjZtsNavD8j8kg5XxMs1O4vkhbBH8kLYI3k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PD44fP87mzZuZ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\nrkJggg==\n", "text": [ - "" + "" ] } ], "prompt_number": 11 }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Note that I rewrote the equations somewhat:\n", - "\n", - "$$\\begin{aligned}\n", - "\\hat{x}_t &= gz + \\hat{x}_{t-1} (1-g) \\\\\n", - "&= gz + \\hat{x}_{t-1} - g\\hat{x}_{t-1} \\\\\n", - "&= \\hat{x}_{t-1} + g*(z-\\hat{x}_{t-1}) \\\\\n", - "&= \\hat{x}_{t-1} + g*residual\n", - "\\end{aligned}\n", - "$$\n", - "\n", - "I'll let you decide which form of the equation is more expressive. One form explicitly uses $g$ and $(1-g)$ to compute the point between the two values, the other finds the difference between the points, and adds a fraction of that to the first value. Both are computing the same thing. You'll see both forms in the literature, so I have used both to expose you to them.\n", - "\n", - "**author's note: I think residual form is clearer. recast development to use this form**" - ] - }, { "cell_type": "heading", "level": 2, @@ -836,9 +883,9 @@ "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 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 $k$ and bases it on the number of state variables there are in $\\mathbf{x}$. 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", + "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 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 $k$. 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. Eli Brookner's book mentioned in the previous paragraph is an excellent resource for that topic, if it interests you. 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 will be making a number of carefully considered choices to optimize it's performance, and those choices indirectly affect g and h. Don't worry if this is not too clear right now, it will be much clearer later after we develop the Kalman filter theory.\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. Eli Brookner's book *Tracking and Kalman Filtering Made Easy* is an excellent resource for that topic, if it interests you. 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 will be making a number of carefully considered choices to optimize it's performance, and those choices indirectly affect g and h. Don't worry if this is not too clear right now, it will be much clearer later after we develop the Kalman filter theory.\n", "\n", "However, 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." ] @@ -855,7 +902,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "Now let's write a function that generates noisy data for us. Recall from chapter 0 that we model a noisy signal as the signal plus white noise 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()*" + "Now let's write a function that generates noisy data for us. Recall from chapter 0 that we model a noisy signal as the signal plus white noise 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()`." ] }, { @@ -894,9 +941,9 @@ { "metadata": {}, "output_type": "display_data", - "png": 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dHbH5BWjSJKzmNwI998xN+SUXNcAiIsnOMHA9/zxpvXpR/NBDFI0bxxdr0rnm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\nD6YCWILSWjZ3KTu3KT93KTt5kISEBHr16kWfPn0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vFTGbEza/gUCAgQMHMnToUP74xz+ye/du9uzZc/j5PXv2UK1ataO+tm/fvtSs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\nWmnfPpOzz47Qt28hrWp+SfrIEdi++Qb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"text": [ - "" + "" ] } ], @@ -914,7 +961,7 @@ "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 you initial guess for x to be 100." + "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 you initial guess for x to be 100." ] }, { @@ -950,9 +997,9 @@ { "metadata": {}, "output_type": "display_data", - "png": 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sEu64A8f27Tj37CHxuuvANMn++GOszp1j/RGkjmkEWeKCagrFjuJC7CguYsv1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\n507S0tK8Pua6QBJkHyhZXlHMOmoU+u++g0K3EgSHA0NSUqn642JKx47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CXFniQsKDEmQREZEKZklOxrJ/P/4WLXLOGVWqEKhRo1xf1LMcOoT9668Lb2QY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\nwxsRgatjR2xbthi/2esl+MEH8TRrRs7TT5931dbdvj2Om24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wT9IoIfb0GGY5G00OBHjF2QvTA4WdO61ZNQAgEEDiyScrLiiUSJEIWTUIQoa8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\nQEZGBsOHD2f+/PkcOHAgdE632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OI6y9HfnLloEdPKi+jXzhpRWHGYVYUQGxJTPNgQ0NHH71Kx3WC6tV8sB3dWHq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\nSB7OhCbBU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"text": [ - "" + "" ] } ], @@ -1027,7 +1074,7 @@ "source": [ "This doesn't look so wonderful to me. We can see that perhaps the filtered signal varies less than the noisey 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 with no noise 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 existance of the multitude of chapters beyond this one should suggest that we can do much better than this." + "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 existance of the multitude of chapters beyond this one should suggest that we can do much better than this suggests." ] }, { @@ -1087,9 +1134,9 @@ { "metadata": {}, "output_type": "display_data", - "png": 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5eTYWLPBwxhkhs0OSKKJLwIiEmd0nJ3Ikys/oZtu+neTrriNu8mQ8c+bgHTQo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\nSAdWAacBzwAtgXhgKTAHcJc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v4Ovc2eiITGf7dgtDhyZxyilBVqwopWnToNEhickdt5ViypQp3HbbbZXjvXv3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\n8RET03BfLyrzU8JCOOSmxWLBYrEYHYY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HGPy93R3DKTrKbmp//zaZTGiaRnV1NUCn8vl8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\nEAKQYCyEEEIIIQQgwVgIIYQQQggA/g9DBFAXk14UvQAAAABJRU5ErkJggg==\n", "text": [ - "" + "" ] } ], @@ -1119,7 +1166,7 @@ "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 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 $g = 0.1\\mbox{, } 0.5,\\mbox{ and } 0.9$." + "Now, let the `noise_factor=50` and `dx=5`. Plot the results of $g = 0.1\\mbox{, } 0.5,\\mbox{ and } 0.9$." ] }, { @@ -1162,25 +1209,25 @@ { "metadata": {}, "output_type": "display_data", - "png": 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Wcj3nsNpt9wKdDZzTgWLgrvrX1wD5wHbgkib3BbsuIiIiXcDz3ntU//CHGD4f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\nkeefT+LVVyuYPDlI0xTAGj0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H9iG3u1UzFSd1V1zRbuBsFBeT9MQTVD36aKe/Fok+OzMT\nt3acpQMUOEtcUy5rz5WwZAmu3bsxjhwJ+7O9al3Ydsd+uLDb33GNB5HIb16xws2556Zz6aWbueii\nEJKbw+SfOROjrAyzjc6GKQ88QO2Xv4w1blzEx5fOcfp+YQ0ahJmfr8BZwqbAWURiwvPaawAYhw/H\neCbxzfPf/5J6883hfaimhj6TJwfSIMLg/uADXKtXhzdWJ0WiosYpp/h4771yLrlkT2Qm1ZJpUnf5\n5UF3nd3vv49r/XpqvvOd6IwvEWdnZmJYFrZSNSRMCpwlrimXtYcqK8OzfDm+yZMxOxA496Z1Ye7c\niefdd6GiIuTPuHNzMUtLce3eHdZYCX/5C6nf+Q5YVrjT7LBwdpyLigzHzfeMDBgxworqumhM12i5\nk19bS8o991D98MOQkhK18aXjHHOc60vQacdZwqXAWUS6nOedd/CdcQbW6NEYhw7FejpxzSwqwqit\nxfP++yF/JmHxYmzDwCwoCGssV0EBRnExnldfDXOWHWfu3Yu/jR1ny4KlS9186UupzJuXQX5+bP63\n5Z8xA2pqcG3Z0ux60m9+g3/cOLwLFsRkXtIxtgJn6SAFzhLXelUuay+S8Oqr1F12GfbAgcpxbodZ\nVIR33jw8ixeH9gHLwvPWW3jPPz/swNksLKT6xz8m+dFHwR/iAbtOCrbjfPiwwZNPJnLaaRk89FAy\nCxZ42bjxOCefHHw3PKrrwjBa1XQ2CwtJfOqpwG6zxC3HHOf6DpQKnCVcCpxFpGtVVOB5/328F12E\nNWAApnac22Tu20ftLbfgeeedkIJZ14YN2Glp+M47L7zAuaoK4/hx6q6/Hjstrct2nYMFznl5brZv\nd/Hss5UsW1bOjTfWkZraJVMKqm7hQhL+/e/GdI3k++6j9hvfwBo5MrYTk7BZQ4bgmzqVmC8q6XYU\nOEtc6025rL2F5+238Z1+Ona/ftgDBnRox7k3rQuzqCiQ1jJoEK61a9u937N4Md4FC7BGjsQVRuBs\nFhYGDumZJtXf+17X7DrX1WEcPow9eHCrty6/3MtvflPFaaf5Q67uFu114Z82DSwL16ef4nnrLVw7\ndlDzzW9GdUzpPMd1kZ5OeRjpTyINFDiLSJdKeO016i6/HABr4EDtOLelogKjtha7f3+8F15IwpIl\n7X7E89Zb1F14If4RIzALC0MeylVQ0Lhz6vvc57AzMsJqNd0RZnExVlYWuN1RHSdiDCOw6/zXv5J8\n771U/exnkJgY61mJSBdS4CxxrTflsvYKlZV4li3De9FFAIEd5w5U1egt68Lctw9r6NBAfu2CBe3m\nORtFRZjFxfhnzsQaORJz796QK2SYBQX4G1IODIPqe++N+q5zQ5rG1q2R+V9RV6wL78KFJD37LP7p\n0/Gde27Ux5PO6y3fL6RrKHAWkS7jWboU34wZ2AMGAB0PnHuLxsAZ8E+fjnH8OOauXUHvT1iyBO/5\n54PLBSkp2BkZGPv3hzbWnj3NcnV9556L3a8fnn//u3NfRFsK9vLxkVHcfHMatbXRGyaS/FOmUPvl\nL1P10EOxnoqIxIACZ4lrvSmXtTdIePXVxjQNIHA4UHWcgzKLihoDZ0wT7+c/j6eNdI2G/OYG1ogR\nIR8QNAsLmx9yM4xArvNjj0Vl17myEv7z5AG2Vo5k8eLyiGQ8dMm6MAyqHn9cjTO6kd7y/UK6hgJn\n6Z66qFSWRFBVFZ5338V78cWNlxp3nLtJe+iuZu7b16zihPfCC4MHzmVluNeswdskfSCcA4Lmnj1Y\no0Y1u+Y75xzs/v1J+Oc/23+AbUNZGUc/2cvHL2zho4c/wvPGGxhFRc1u27rV5LTTMpg6tQ/DrAKu\n+PYg+vfXv38R6R4UOEtcC5abln7++Zg7dnTxbKQzPO++iy8nB3vgwBMXk5IgIQHKy8N6Vm/JWWy2\n4wx4587F/cknGMeOtbrXs2wZvlmzID298Zp/5MjQdpxtG1dh4Ykc5wb1uc5Jjz1Gq5Z9to17xQo8\nX70d99CJZAwYhGf0KSR87hJGPPB1Jv7tYRJffJH0yy9v1vp79GiLv/+9guXLy5gzfA/GqM61226q\nt6wLCY/WhUSSAmfpfmwb144dmHv2xHomEoaGpictdTRdozcwi4ub1zhOScF79tm4ly5tda9nyRLq\nLryw2bVQUzWMI0ew3e5A7+oWfHPn4hs4iP2/+Ffg3uJikn7xCzJmziTl//v/sE+ZxLNfzeNffznA\nno17STm0gQFFy+m/8TUq/vEPfHPnknrXXY1/q5CUBGPHWgwdaofVbltEJB50kxpA0ls55qaVl2NU\nVmIWF3f9hKRjqqtxL11K1U9/2uote8CAQNvt0aNDfly3y1n0+3GtX49n+XJqb7gBOysrpI+13HEG\n8F5wAQmLF+O96qoTF30+PO+8Q/X//m+ze61RozBfeaX9cVqkabz6qodNm1xs2+Zi61YXE4r+j+fW\nL2xuGJUAACAASURBVCJp1b9IXLcK7+WXU/nb3+I/7TQwDL7S+MnWKRdVP/kJGfPnk/DXv1J3/fUn\n3rAjHzh3u3UhXULrQiJJgbN0O2Z9zqRZUhLjmUioPO+9h3/qVOxBg1q9Zw8YgHnkCD0ta904dgz3\nu+/ieecdPO++G/ja6+qwhg+n7ppr2n+AbTerqtHAe8EFJP/wh1BXF0hzAdyrV2MNG4bd4l4rxFQN\ns6AAa8SIxtcrVrjp29fmyivrmDTJz9gx00l79EqsMWM4/offhddtLSWFit/9jvTLLsN32mlYEycC\nYBw6hJ2Sos5tItKtKHCWuJaXl9dqt6Bhp9ksLY3FlKLG/cEHeN54g+rHHov1VCLO89preJtU02jK\nGjgwsOMcBqd10dXMggKMkhLMY8cwjh3DOHo08PuxY7g2bcL96ad4zzoL7+c/T83992MNH07SI4+E\nnJtvHD6MnZzcKrC0s7Kwxo3D/dFH+ObNAwLVNA7MupAHv5fM9dfXMXVq4McQa+hQzAMHOLrfy4t/\nTeeqq+oYPjxQ17mqCqqqDAYOtAPNT5rsOP/sZ9UtZ0PN/fd37A8KsCZNovp//5fURYsof/ttSE4O\n7DYPj1x+M8THupD4o3UhkaTAWbodc9++QMe5nrTjbFkk/+//Yvh8tAxZur2aGjxvv031j3/s+Lbd\nv3+3q+Xs2rSJ9Isvxn/SSVj9+gXah/fpg92vH9bYsXjPPx/fWWdBcnKzz/nHjSPhzTdDGqOtNAbv\nhRcGSs/NnccHH7iZ+cJb3JTwN6Z9xSYrq0nDE7cba/Bg/LuL2Lt3Mueck86kSX7GjLF44w0P991X\nw1e/WotZUIDv1FM7/OcRirobb8TzwQck/+AHVD/2GObevcpvFpFuR4GzxDWnXQKzuBjfaac1pmz0\nBJ5//QvD68U4cCDWU4k4z/vv4588OWherzVwYNiHA2O9e+R5/XVqb7op6A8DwVjjxmF+9llI9zql\naTSoW7AA1xXXc9K/nuK0jO3M91Txp01jSE6paT3myJEMrt7DE0+M5uGHYelSDzt3mixfXs2wYYGc\nZLOgAMvh4GZEGQaVv/wlGfPm4Xv99agcDIz1upD4pHUhkaSqGtLtmPv24Z8xo+ekatTVkfzTn1L1\n6KMYlZV0mxZqIfK89hreNoKyxsOB3YjnzTepq28bHqqyMvhv/kSMz3aF1ga7sIj86hHcd19yq7es\nSZNISrT58NlV/OPGV/BcuYDkFMPxMU0rayQmwsUXe7njjtrGoBnqA+eWpeiiISODyueeI+Wuu3Cv\nXKkdZxHpdhQ4S1xzqr9pFhfjmzoV4/jxHhFkJv7pT1hjxuCbOxd74ECMgwdjPaXIsSw8S5fibVEm\nramOtN2OZV1Ws6AA88AB/DNntnuvzwcvvpjAVVelccopfXnu75kcrOvDXde1rsPcoKYGfv/7BP7y\nyEFyC0Zy/vne1jcZBr6LFjBs/WI8S5Y06xbYkjVqFGZhYZuTNIuLI55vHIz/tNOo+eY3SXjjjajk\nOIu0pHUhkaTAWbqdhm5q9qBBmPv3x3o6nVNZSdLjj1P9wAMAWIMH95yddMD18cfY/fu3GSCFW8c5\n8dlnyVy/PhLT6xDPm2/iveACcLnavdflgq1bXVx/fS2bNx/jn/+sYMDsMdx/9WbH+3//+wRycvrw\nzjseLpu+m/+5fxDnnedzvNe7YAEJf/877s2b8bXxV9H+droHmsXF2JmZjRU6ukLtN79Jzde/ji8n\np8vGFBGJBAXOEtda5abZdmB3bOhQrOxsjG5eyznpmWfwnXEG/vqDWdagQZixzHO2bdKuuQbXxo0R\neZxn6VK88+e3PeTAgWHtOLuXLWNaWzuoUeZZvBhvkzQNy4J161yUlLROlTCMQIWKK67wNjb0s8aP\nI7ss3/HZ/fvbvPxyBX/7WyWZ1a1rODflO/NMzNJSvPPmBbqKBNFeExSzoKB1x8BoM02qf/pTbOU4\nSxfQupBI0uFA6V7KywPRSEZG4+5sd63/axw5QuJTT1H+1luN1+xBg2J6QNCdl4dn6VJ806bhnzq1\n08/zLF1KdTtlzOwBAzDDyHE2i4tjtitvHDmCe8MGjpwxj+VL3bz5ZgJLlnhIT7d5/PEqsrOdd4eb\n8o8dG/SA4MKFJ9Iy2j08l5BA7Re/iO/ss9scr71azuaePV2T3ywi0gNox1niWsvcNLOoCGvIEACs\nIUO6dUm6pF/9Cu9ll2GNHdt4zcrKimn6SeJTT1F3xRV4li3r9LOMw4dx5efjO+MMx/f37jW5664U\nlq7pH8hVDzFf3dxXjLlpM1R3feE+z9tvUzjhHE6aPpif/zyZUaP8vPZaOatWlTFnTvtBM4A1fjyu\n9ipreL2BOs6DB7d5W/Ujj+C9+OI277EHDcKoqoKKCsf3zcLCHhM4K5dVnGhdSCQpcJZupSFNA8DK\nzu62gbOxbx8Jf/4z1Xff3ey6HcPA2fzsM9zr1lH1xBO4tm/HOHq0U89zL1uGd86cQCkHB08/nUhC\ngs0DP0jlkD2QZa+UtVlsYuNGF/feaeA9Us4n/ql8ZfpOx/t8PsjPN4PFiSGxbfA7/FWG5803Sbj6\nIj78sIwlS8q5445axo0LoUJGE/6xYzF3Os+9gVlaij1wILgj8JeChoE1fHjQA4KuFu22RUQkOKVq\nSFxr1TVw377GHWc7Oxtjs/Mhq3iX/Oij1N14I3Z2drPr1qBBuCOw29sRiU8/Te1NN2H36YNv9mzc\ny5cH7fYXivbymx96qBrDAMuqxpzen7//uozn3hzFX/9a2ereL34xlS1bXNxx8TaMoYM5+YLpPJ+d\nC5zS6t4jRwxuuCGNfftMEhJshgyxGTLk/2/vzuOjqq/Gj3/unSULJMEkJGyGLUFUkE1QwYVNrQiu\nHbdaqdqfG/q441q1da/a2ipaq4+1tuBTp4oWqbKKGpE1sgjKEoUAYUkQyUKSWe79/XFnwiS5M5lJ\nbpJJct6vFy+cO3fu3IQjnHznfM/ROO44P0880XCVuqhI5bzzUvB4oKZGwes1pln376+xZk3Z0ROr\nqowBHi++SGK63uA60dL69jV+4KupCftDhRLYAGsVLbBBUDvhhAbPqTt34g8Zt92eSS2rMCNxIawk\nibNoV9Ti4qOlGj16tMsVZ3XrVhzz51O2Zk2D57Q26hSi/Pgjzvfeo2zFCgC8Eyfi+PTTpifOmoZj\n6dKIY5qVwF46VYWu/TN4/fZd7Dou1/Tcp56qom9fDefy71HW98Z/8ihSFi2iYYoNWVk6q1aVoevw\n008KxcUqe/YoVFeb9znu1Utj4cIyEhLA6dRxOIwGE/WbZjg++wzfsGHo6enRfAfCcziMFeAffkAb\nPNj0FHV35I2BsfL364e6Y4f5e9Ubty2EECI8KdUQca1BjXPINLX2WqqR9NRTVN96K3q3bg2e03v0\naJPNgQl//zveKVNqp/t5J0wwVr71pq2s2tatq9OGrrHL6OnpqD8epFcv8xP799dQ1UDrtF69WAnY\nGmlJpyhwzDE6J57o55xzfFxwgUk/ZIxqiN69dTIzdVJTjSnZZp3mHPPnR+xHHQt/bm7EOmfV6hXn\ncJ01KitRKirCTnVsb6SWVZiRuBBWksRZtCumK85NTO7ahNeL45NPqPl//8/0aa17d6MdXWt+TR4P\nCW+8Qc3NNx+9j0GDUPz+qMdD1xdaprF4sZ0LL+xqWjNc+36ZmVF11lACf/6VvXqh/PRT600c9Ptx\nLFhQpw1dc2iN1DlbveKs9e1rWuOs7txpJOiK+Wq8EEKIuiRxFnHNtMY5mFCkpIDNhlJWZvLK+KTu\n3o2WnQ1dupifkJwMTqcxFbGVOD/4AH9eHv4hIfXCioJ3woQmd9dwLFrElgHncOmlXZk5M5l7762O\nOC8k2umBwR+cTj/zTPwjRmBfu7ZJ9xcr2+rVaNnZlnWf8OfmYtu2Lezzjbaii5EWZgiKraioQ5Vp\nSC2rMCNxIawkibNoP0KGnwS1tyEoahQdDLTsbJTWqnPWdRJeeYXqW25p8FRtuUaMigoO4Vm/lWm/\nP4cpU7ysWFHGGWdEbtWmRzk9MPQTB9+oUdhaKXF2zp9v2WozgJabiy3SinPoD4gW8AdXnOt9ktEm\nw0+EEKIdk8RZxLU6tWkhw0+C2lsvZ3XnzkZXLVuzl7N9+XKUqip8Jt0vfOPH41i+3GgxEYMjHyxj\nZ/8z+HJNNddfXxPVJGctIyOqsovgD075+fn4R41qnRVnXTfGbDfSLzkW/tzciGUwVq84k5qK7nA0\nWNXvaMNPpJZVmJG4EFZqauLcG8gHvgHWAsF/dS8DtgJbgKkh54c7LkTUQoefBLW3DYLR9MxtzemB\nCa+8QvVNNxmtLerfR3o6/rw87KtXm77Wa77XjpEHFpBz40S6do3+PvTMTJQff2z0vNB2hL6RI40N\ngpGaP1tA/e478HrxDx1q2TX1rCyUmhrzXtkVFSg1Nc3v3lGPZtJZoyMNPxFCiNbQ1MTZC9yM0UT1\nYuAtwAE8A4zDSKRfDJzrDHNciEaF1qbVL9MAasdutxfqjh2NfjTeWi3p1MJC7KtW4bn88rDneCdM\nwL50KboOO3eqfPCBg4cfTuLcc1MYOLBbwyEjgTZ0ZivYkWjRjN2uqUH56Sf07t05/fTT0bOy0FNT\nUb//Pqb3ipXz44+NMg0rN9ApCv68PNNV59oyDYs37Jl11uhow0+kllWYkbgQVmpq4nwA2Bj47yKM\n5Pg0YBNQAuwK/BoGnBLmuOhE1G3bmt0pInS1MUjv2ROlHa04q1FsxtJ69DA6a7SwhNdeo2b6dGND\nYhi+wAbBiRNTmDIlBbfbSUaGzsMPV7F5808NVpVr29DFOFAjms2B6r59xsbKkF2GrVGu4fjvfy1r\nQxfKP3CgaUs6q+ubg7S+fbGFdtbQddSiog4z/EQIIVqDFTXO52KUa2QBe4EbARewD+gJZIc5LjqL\nI0dIPfNMbOvWxfzS0Nq00I1hQe2tVCOazYF6VlaLbw5UDh3C6XZTc/31dY776u3h8518MrbCQua9\n+QObNh1m9uxK7ryzmjPO8JmWYjQ2LTAcPT3dKFuIUHYR7OEMR+OipTcIKsXFqD/8gG/sWMuvreXm\nmraks7oVXZC/b986K85KaSm601lnz0B7J7WswozEhbBScycH9gCeBy4ARgWOvRb4/ZJ654YeN116\nvOWWW8gJrH6kpaUxdOjQ2o9YgoEvj9vfY/uKFSg1Nex77TW6/+UvMb0+KD8/n2EFBWRMm1bn+bMC\npRrx9PWGe+yoqOBcnw89PT3i+VpWFmVbtrAiP7/F7mfPU09RMWIEXQIjv997by1vvDGEM89M44EH\nquuc7x03jgPv/JV1Z57Z6PXPW7yYqgcfjP3+Vq7k3MREoxQjzPen12efMTSQOG/caHzgddaoUSTP\nndtif34Tt27FO3ky+StXWn79Xj4fQwMt6UKfV/fsYYemsdXiP//u5eWMCiTO+fn5dNuyhdMCP8TF\nw/8fVjwOipf7kcfx8Tj490W83I88bru/H/Lz8ykKfPL261//mqZoThFdIrAIeBxYiFHDfD8wLfD8\np8DtQEqY4xtCL7Z48WJ95MiRzbgdEa+SHn0U26ZNqHv3Uvbll02+TtdLLqH6llvq1M8qe/aQevbZ\nHN682YpbbVG29etJvvVWyr/4IvJ533xDlxtvbNb3qjFdL7iAmhkzqBh/Li+/nMirryZw88013Hpr\nNQkJdc9NeP11bOvXc+TllyNeU/nxR9JGjOCnrVtpcJEopI4eTcXs2WiDBpk+n/DnP6OWlFD1+ONH\nDx45QrdBg/hp+3ZITIz5PQHQdZSDB1FKSlCDv5eWopSU4PzwQ6oefLDpo8cjsG3YQPItt1BeL+lL\nnjED36mn4vnlLy19P3XbNrpefjllgYmLjvfew/nRR1T+7W+Wvo8QQrQHBQUFTJ48OeY82N7E91OA\nvwFzMJJmgNXAiUB3jKS6D0Zy7AxzXHQS9mXLqHrmGbpcey3q99+jDRjQpOuYbQ7Us7ON2lifz5id\nHMeiKdOAVujjXFaGfd06PmYCd5+RSm6unyVLyunb17xMwjthAokvvmjUqEfYsGb/9FO848Y1KWmG\nQJ1zhM4aanFxww4QycnGMJGNG/GPHt2k9026914S3G60Hj3QundHz8ys/b361lst7d8cyj9gALYf\nfjDKU0K6mpjFuRW0Y49FLS4Gvx9sNmw7d3aojYFCCNEamlrjPA64FLgB+BooADIwVpa/BJYAdwTO\n9YQ5LjoBpbQU244d+E4+Ge/Pfobjv/+N6fW1H7GYDD8BwG43Eq7WGhjSDNH0cIZAvW9ZWcz9k6Pl\n+PRTfKecwmerU/nd76qYM6cybNIMxnho3eEw2rJFuu6iRU2qb659n0Y6a4TWuId+9OYfORJ7YBU1\nVrYNG3DOn89PGzdStnIlFR99ROVbb1H13HNU33efserrcDTp2o3q2hW9WzfUPXvqHLa8h3NQYqIx\naCYwMKgjDj+pX7IhBEhcCGs1NXHOx1hJHhH4NRJjA+C7wKDAr/kh54c7Ljo4++efG6uQDgee88/H\n8fHHTbtQebnxu8lGpvbSki7q1l82m9HXuKSkRe7DsWgR3rPP5uGHq/nZz8I0Yw6lKLXdNcJqYhu6\nUHojQ1DMNodCMzYI6jpJDz5I1X33tdkGOX9urtFxJuSeWqqrBtTdIBjtD3JCCCGOksmBokU5PvsM\n3/jxAPjOOAP7N9/ElBAGi/vNhp8EtZfOGtH0cA7SsrKa3ZLO54O1a2288kpI6YSm4ViyJOaVYW8j\nibNt7Vr0Y46JuQ1dKD0jA7WxUo1ADATjAozEuSkt6Rz/+Q/K4cOW1xLHov7obeXgQfSkJOjSpWXe\nr4MnzqFxIUSQxIWwkiTOouXoOvZly/CedZbxODHRSMAWLIj5UpHqPttN4hxDTanehLHb1dUwfXoX\nzj47hRNPTKN3727cfHMX/P6jLbRtGzagp6TEXGfuO/NM7CtXGm9S700T/vQnul55JdU33xzTNeuL\nOHbb6zWSyh49Gr4uL8/YzNdIH+g6qqtJevRRqp56qk5f6NbmHziwzhCUFivTCKgdguLzoe7d26Lv\nJYQQHZEkzqLFqD/8gOLz1emS4D3//JjqnIO1aWbDT4L0Hj1Q4r1Uw+83voZjj43qdC3Qy3nOHCef\nfOJg3z6FXbtU5s1z8PjjiabjrhMS4OKLPTz55BEWLChj9+6fWLWqjNtuq6nd0xcs04iV3q0b/sGD\njeQZQNdxvP8+qaeein3NGso/+QTPr34V83XrvEdmZtjkV9m/H71799okt07Nos2Gb8QIY/x2lBJf\neQX/SSfhO+OMZt1zc/nz8uoMQWnJMg04uuKs7tmDlpUFTmeLvVdbkFpWYUbiQlgpvtsQiHbN/tln\nxmpzSCcG79lnk3z33VBZGdPH0eHqW8FYcba3YOs2K6jFxeiZmaYt07ZvV3nuuUReeeVI7eKnlp2N\neuAAJU6F995zsm5dMk4nDB/uY/hwP9XVDfesKQpcdFHkmmXHokVUPfhgk76GYLmGnpRE8sMPg8fD\nkZdfxmfRx6BaRgZqmMQ5UqkOHC3X8EXxQ4Gybx8Js2ZRvnhxk+/VKlprrzj37Ytt506jw0sHK9MQ\nQojWIImzaDGOZcsatPLSu3XDN2oUjk8/xTt1aqPXqK1x3rMH35gxpue0h1INdccO/CZlGmvX2rj6\n6q48+GBVnYoBPTsbdetWbn+uhttvr7HkHpSDB7Ft2YLvtNOa9HrvhAmk/PznON1uqh5+GM/ll9dp\no9ZckcZu1//BqX7Non/kSBLeeiuq90l6/HE8v/wlWv/+Tb5Xq2g5OUYte1UVJCW1+Iqzv29f1KKi\nDlnfDFLLKsxJXAgrSamGaBl+P/b8/KP1zSG8U6bE3JausRXnYIuteGW2wrdokZ0rrujKH/94hF/+\nsm7rOS0rK+Ya58Y4li7Fe8YZTe6z7B89msoXX+TwqlV4rrzS0qQZjFKNcO3oIv35Q6CzRkHB0WLu\nMGxff43j00+puuuuZt2rZex2I3n+4Qeg5Vec9Z49UQ4dwrZlS4dMnIUQoqVJ4ixahG3DBvTsbNPN\nXJ7zzsOxcKHR9qERtTXOETYH6j17xn07uvorfO+84+TWW7swe3aFaUs4rQmbAxvjWLiwSfXNtWw2\nvD//ect1fEhPDzsApX7iXL9mUe/RA5KTaxNQU7pO8oMPUvXAA23Wfs5MaJ1zS684Y7Oh9e6N/csv\nO+TwE6llFWYkLoSVJHEWLcIR2k2jHr1PH7ScHOwrVkR3sXDDT4JPp6UZSXhFRVNvt8WF9nDWddiw\nwcZ//lPOmDF+0/P1rCyUZrajq8Pvx750abMGlLS4Ll2Mb05lZYOnopmm5xs5MmJbOsfcuXDkCJ6r\nrmr2rVpJGzjwaOLcwivOYJSH2DZuxN+M1oFCCNFZSeIsWoQ9pH+zGe+UKTjmNz4L5/TTT484/AQA\nRYn7OufQHs6KAk8/XcVxx0WY1hcs1Wik9CBatjVr0Hr1Qm/J1czmUhSjl7NJnXNjNc4QYRCKrqNu\n307SY49R9fTTbdp+zow/Nxe1sNBouVdaavopjZW0vn1RdL1DlmpILaswI3EhrCSJs7DekSPYCwrw\njh0b9hRPsM45isSwsY4KEP/TA2Pp4QxA165gtx/9oaGZHIsXN69Mo5VoYTYIRlPC4D/55KMrzmVl\nOObPJ/muu0gdMYKUCy/Ec9VV+CLEZFvRcnOxbduGum+f0XLP3rJ7tv19+6InJqJnZ7fo+wghREck\nibOwnH3lSnxDhkBKSthztOOPB5sN2zffRLxWfn5+VB/T63G64qzrUL6nDOXIEfSsrJhea+UGQcfC\nhXjPOceSa7Uk07HbPp+xEhuS6JnVLPpOOgnb5s10nTqVbkOGkPC//4t/wAAq5szh8DffUH3//S19\n+00SXHFWWrq+OUDr29eY8BjSJrKjkFpWYUbiQlhJ2tEJyzk++wxfmPrmWopS213DP3RoxFMjDT8J\n0nr2RImzxLmiAu66K5n+Zdt5um/fmBOVYC9nLS+vWfehFBej7tqF/+STm3Wd1qBlZjYYu63s34+e\nkdGwcXV9Xbty5Pe/R8vKwjduHCQnt+CdWkfPzDRq0DdsaJVJfr5x46j+n/9p8fcRQoiOSFacheVq\nB580IpopgqeffnqjrcigZXs5KzGs+u7YobJmjY2FC+1MmpRKYiLcd9kW0x7OjdGzsiyZiOhYsgTf\nhAktXgJgBT09vcGKs9mff7iaRc8vfmEMQWknSTNg1Ojn5mL/7LNWWXHWs7LiboOkVaSWVZiRuBBW\nksRZWEo5eBD1hx/wjxrV6Lm+MWNQ9+5FLSqKeF40pRpajx4tkjgrxcWkDRmC/fPPAaP0YtMmG3v2\nmK8e/+lPidx/fzIvvZTInXdW8+c/HyFpb9OmtAVXnJurqWO224LZ2O1ofnBq7/y5uTi++KJVVpyF\nEEI0nSTOwlL2zz83NmA19rE6GH2Bzzkn4qpzfn5+1KUaLZE429euRevVC/v1t/D03ZWMGpXKL37R\nhW+/Ne/M8Mc/HmHx4nLmzavgiiuMoSYxbwwM0LOyokqc1c2bjclzZjwe7J9/jnfSpJjfvy2Yjd02\nS5w7Ws2ilpuLUlHRKivOHVlHiwthDYkLYSVJnIWloqpvDuE9/3wc//lPxHOi2hzYq1eLJM7FH6zj\nhR+v5x3lKq79/Abe/nsFX39dxuTJjQ9vCQrt4RwLLTu78TIRTSNlyhTSRo/G+fe/NxgqY1+xAi03\n1+jW0A6Yjd2O5gen9s4/cCCArDgLIUSck8RZWCra+uYg7+TJ2IqKsG3YYPr86ePGRVeqkZ1tDAzR\nwvdGboo+e1Zz/m+HcPE395CXtp9RX/0l5mYE6s6dTRo2EU1XDfW779AzM6l46y2cc+eSetppON5/\nv/b70J7KNMB87LbZn39Hq1kMbgCVFefm6WhxIawhcSGsJImzsIy6YwdKTQ3accdF/yKHg+obbiDh\nlVfMn29s+ElQQgJ6amrDVmbN4feTtHkdvS8eAU4nla+/TuJzzzXaQq8OTUMtKmpSjbMe/GEgAvvq\n1fjGjMF/8slUfPABR557jsRZs0iZMAH7okXtLnE2G7sdzQ9O7Z1/wAB8I0ca3UOEEELELUmchWXs\nwTHbMS7JeqZPx7FwIUpxcYPn1s+bF/XH9NHWORcXK6xYYePjjx3Mnu3kpZcSePDBJFaurFu3rG7Z\ngpaVhX7MMcb1+/en6skn6XL99aZjoc0oe/eid+vWpC4PWhQ1zvbVq/GNHl372Dd+POWLF1N9zz0k\n/+Y3KD/9hH/48Jjfu63omZkNfvhRiovRO3iNM8nJlC9e3CF7K7emDhcXwhISF8JKkjgLy9hXr8Z3\n6qkxv05PS8Nz2WUkvPFGg+cSS0ujXm2MdgjKP/6RwCOPJPP2206WL7ezf79K9+463bvXnWJoLyjA\nV687iOeyy/CNHEnyQw9FdU+2nTubPNpY794d5dChBnXLde5x9Wr8IYkzYPTInjaNsvx8ypYuBbX9\n/G+ud+uGUl4OXq9xwO9H3b8frYXHUAshhBDRiP/GrqLdUIuL0Y49tkmvrbnpJlImT6b6rruMcdMB\nQ7t1i37FuUePiH2P7UuXohw6xH33Xcp991U3ej372rX4R45scPzI739P6oQJOD74AO9FF0W8hrpj\nR5N6OANgsxl9jUtK0Hv2bPC0cugQ6t69+I8/3vz1dnuDldq4Z7MZyfOhQ0Yf6wMHjBV/p7POaVKz\nKMxIXAgzEhfCSu1nKUrEPXXvXjSTBC8aWr9++MaNI+Gdd+peM4YevlrPnqjFxVRXw//+bwIXXtgV\nvz/wpN9P8gMPkDhrVtT3ZDNZcQYgJYXK118neeZM1F27Il5D3dG0Hs5Bkco1bGvW4Bs5EmzmrfHa\nq9Cx252hh7MQQoj2QxJnYRll3z7TldFoVd9yCwmvvsrRbBdKvv46qlINTYPt1b35+qMSRo5MSHZC\nIwAAIABJREFUY8kSOw8/XFWbUzrmzUNPScFWWIhSUtL4zRw5gq2wEP+QIaZP+0eMoHrGDJJmzox4\nGbWoqEmt6IIibRC0r1pVp765o9AyM2t7OYdLnKVmUZiRuBBmJC6ElSRxFtaorETxetHT0pp8Cf+Y\nMegZGTg+/rj2WFJpaVQrjr/6VRdmvd+PjJo9zJ1bzpw5lYweHUjAdZ3EF16gauZMvGecgWPZskav\nZ9uwAf/gwZCYGPacmhtuwF5QgLp1a/jrNLGHc5CWlYUapvzEvmYNvjFjmnzteKWnp9f2cu4MHTWE\nEEK0H5I4C0uo+/YZG7ia0xVAUaieMaNOa7r0I0eiSpxeeaWS38/uxsCkYo47rm4vZ8eCBaCq+M4+\nG++kSdiXLm30evZgGUQkSUnUTJ9Owl//GvYUdedO/M0p1Qg3dtvvx15QgP/kk5t87XilR7HiLDWL\nwozEhTAjcSGsJImzsERt4txM3qlTUffswbZ2Leh61CuOXbuGaUen6yQ+/zzVd98NioJv4kQcS5c2\nOijFXlCA36y+uZ6a667D+d57RveL+o4cQfnpJ/RmfF+CG+Tqs333HVqPHrWt8joSrV6Nc7vb4CiE\nEKLDksRZWELZu7dZ9c217HZqbryRxFdegfJyfH5/neEn69fbWLTIvBmMnpGBUlkJVVVHL7dsGUpF\nBd6pUwHQ+vZFT0vDtnFjxNuwrV1rvjGw/nv26IH3vPNwvv12g+fUnTvRcnKa1Q5Oy842LdWwrVqF\nrwOuNkPgzzEwBEUJM25bahaFGYkLYUbiQlhJEmdhCXXvXst67dZcfTX2Zcuwr1xJdWZm7fGyMrj2\n2i5UVIQpB1EUI9EMGVOd+MILxmpzSPLqDa46h6EcOIBSVoY2YEB093vjjSS+/vrR3sMBzenhHKSH\nKdWoP/ikI9FCxm5LVw0hhBDxRBLnOOP8179wvvlmW99GzKwq1QAgNRXPVVeR9NvfkpibC4Cuw+23\nd2HiRC8XX+wN+9LQISj25ctRi4vxXHxxnXO8kyZhX7Ik7DXsBQVG/+YoV4r9w4bh79cPx7x5dY43\nq4dzgBamVCM4arsj0jMyjM2BmmbElcknGVKzKMxIXAgzEhfCSpI4tyD1u++MjC8Gtq+/xrlgQQvd\nUctpTg9nM9U33ohty5ba1cY330zg++9VnniiKuLrtJ49a0d3J77wAtV33AH2uqUdvrFjsW/YYCxh\nm7CtXdv4xsB6am6+mcRXX61zrLk9nMG8j7Ny8CDqgQNoxx3XrGvHq2DirJSWoqemRuxsIoQQQrQm\nSZxbSmUlqZMmoW7fHtPL1AMHsG3Y0EI31XKa28O5Pr1PH7wXXcQPus6GDTaeeSaRN9+sbDSH0nr0\nQN27F1tBAbatW/FccUXDk7p0wTdqFI4vvjC9hn3t2pi7VXh/9jOUgwexrV5de0zdubNZregASEkx\nfvgqLz96f2vWGPXXHWzwSZCWkYF68GDEMg2pWRRmJC6EGYkLYSVJnFuIY8kSlKqqOvW20VBKSlD3\n70ep3x0izllZ4xxU+eKLFF58MTU18OKLRxg4MHInDAh01ti3j8Q//IHq//mfBqOag7yTJuEwK9fQ\nNGxffx3zijM2GzU33EDiX/5y9JAVibOiNFh1tnXg+mY4uuKshtkYKIQQQrQVSZxbiHPePHS7PezU\nt3DUAwfQevY0SgnaC123tsY5qEsXxk6axOjRfs4/P3xdcyitVy9jY+HatdRcfXXY87wTJxr9nOuV\n0qiFhehpaejdu8d8uzVXXWV08di92/ieFBXhz8mJ+Tr16fUS5468MRAwSjMSEoyWe2ESZ6lZFGYk\nLoQZiQthJUmcW0JNDfZFi/Cef7758IoIlJISvJMnY1u3roVuznrKTz+hJyZCcnJb3wp6z57YN2+m\n+pZbICkp7Hna8cejeL0NSmnsa9caGwObIjUVz+WXk/jGGygHDqAnJxulFs2kZWejBD+58Pmwf/11\nhxx8EkrLyMC2YYP0cBZCCBFXJHFuAfbPPsN/wgn4hw6NbcW5psboOTx+fLuqc7ashzOwf79CZeXR\nx7HWpvn79kXLyqLm2msjn6gopuUatoKCqPo3h1Nz4404//lPbJs2NXtjYFBoiz3b5s1ovXqhd+tm\nybXjlZ6RgW3jxrDDb6RmUZiRuBBmJC6ElSRxbgHO//wH77RpaN27x7TirJSUoGdm4h8xAns7WnG2\nor551y6VmTOTOO20VNasMR9wEg29Tx8Ob9hgjBJshFk/Z3uUg0/C0fr2xTd2LEnPPmtZ4hw6PbDD\nl2kE6BkZ2HbskBpnIYQQcUUSZ6t5vTg++QTPtGnGSmEMibNaUoKWlWUkXEeOxFwf3VbC9dqNxv79\nCrfemsz48Sl06QIrVpRx1lm+2uebVJsWZkNgfb7x47GvWAHV1caB6mps332H/6STYn/PEDU334x9\n9epm93AO0rKyjq44d+D+zaG0wOAbqXEWsZC4EGYkLoSVJHG2mP3LL9H69UPv06fOSmE0lJISY1Oa\nouAfNqzdlGs0tYfzwYMKEyemkpmps3ZtGY8+WkVWVmx9r5tD79YN/wknYP/qKwBsGzfiz81tdq22\n79RT8Q0fjta/vxW3abTYCyTOnWbFOT0dwNLe4EIIIURzNSdxfh7YB2wMOXYZsBXYAkyN4niH4/jo\nIzzTpgEYpRolJVG/Vj1wAC0rCwD/SSdhX7++Re7Rasq+fehNKNXIyNCZO7ecxx6rols384S5pWvT\nvBMn1tY52wsK8DejTKOWolDxr3/hufTS5l+Lo6UaSkkJyo8/og0aZMl145mWmYl2zDFhf4iRmkVh\nRuJCmJG4EFZqTuL8HnB+yGMn8AwwDpgMvNjI8Y5H03DOn493qvGzgd69O0ppKWiN9x8Go1Qj2AbN\nN2wYtnaSODenxnnQoOi+Ny0ldINgUyYGhqN3727ZxLtgH2f76tVGYh/lKPD2TM/ICLsxUAghhGgr\nzfkX+CvgYMjjU4BNQAmwK/BrWITjHY5t1Sq0jAy0gQONA04nekoKyo8/RvV6Zf9+tEDi7G/LxFnT\nSL7ttugT/mbUODempWvT/MOHGyu5u3djb2ZHjZaid++OcvAg9hUrOkWZBoA2YAD+IUPCPi81i8KM\nxIUwI3EhrGTl0lUPYC9wI+DCKOPoCWSHOd7hBLtphIqlzlktKUEPlGpoAwagHjoUddJtJeXAARJm\nz0bdsyeq8xsbfqLr8OyziWzYEIcjom02fOPH43z/faNUJh7LIBwO9G7dcCxY0GkSZ9/YsRx55ZW2\nvg0hhBCijpb4zPc1wN3I8dbbAdZadL1OfXNQ/XHJkSiBrhoAqCq+k05qkw2C6q5dxu/btjV+ss+H\nUlqKnp0d9pRnn03k448d9OgRe1lGa9SmeSdNIvHll/GNGAG2OEzuCcTR9u34Ovjgk2hJzaIwI3Eh\nzEhcCCs1vWFuQ8XUXUnuETiWYnJ8r9kFbrnlFnICI4rT0tIYOnRo7UcswcCP18cb33qLkbqOdvzx\ndZ4/J5A4R3O98Tt31pZq5Ofnc0L37vRcvx7f+PGt+vWou3cDsHPBAnpPnBjx/DMGDkRPTyd/xQrT\n57dtm4jb7eSxxxazdauHrKzY7ieoJb9e74QJdJkxg8KsLDJb4f2a8viQ00lCTg6kpsbF/bT1440b\nN8bV/cjj+HgcFC/3I4/j47H8fSGPg/Lz8ykqKgLg17/+NU2hNOlVR/UD5gFDMTYBfodR05wILAXy\nIhyvY/HixfpIizZmtYXE3/0OFIXq3/ymzvGkhx9Gy86m5rbbGr1G2sCBlK1ciR7oYet8910cn3xC\n5Ztvtsg9h5Pw0kskPfssNVdeSdVzz0U811ZQQPLdd1P+6acNnvvoIwczZyYzf345/fu37SbAxqSM\nH0/1zJl4p0xp61sxlXzLLeB0cuTFjru3VgghhGgtBQUFTJ48OeY82N6M95wFXAxkYmz4uwW4H/gy\n8Pwdgd89YY53HLqOc948Kv/61wZPaVlZ0bWk83hQystr+9cC+E46icRnn7XyTqOi7t6Nb+xYbNu3\nN35umI2BBw8qzJyZzDvvVMR90gxQ8f77cT3G2jttmtGeTQghhBBtpjk1zjOAXhgrysdirDy/CwwK\n/Jofcm644x2C+u234PHgHz68wXPRbg5USkrQMzLqtBrT8vJQDxxAOXzY0vttjLp7N94JE7Bt3dro\nueF6OGdk6CxfXsawYf5m3Uv9j2Bbip6eHtdt3rznnYf/1FPb+jbiRmvFhWhfJC6EGYkLYaX4zRTa\nEee8eUbvZqXhin/ouORI1NCNgUE2G/4TT2z1DYLqrl34Tj0V5aefoKIi8rkRejiHG2oihBBCCNEe\nSeJsAce8eQ26aQTpWVkoUZRqKCHDT0L5hg9v9X7O6u7daDk5+AcMwFZYGPncJo7bjlawuF+IUBIX\nwozEhTAjcSGs1OkS56RHHsH5zjuWXU8tLET98Uf8Y8aYPh9tO7rQcduh/K3dkq68HMXjQU9PR8vN\nbbQlXbCHc2VlK92fEEIIIUQb6XSJs33ZMpIeeABl3z5Lruf46CM8558ftj5Wz8gwSh58vojXibTi\nbG/FFWd1925j1LGi4M/Lw9ZY4rx3L4s253DqqWmUlVl/P1KbJsxIXAgzEhfCjMSFsFLnSpw1Ddv3\n3+O5/HKSH3jAkkvav/oK35lnhj/BZkNPT0cpLY14HTVk3HYobdAgY4JfeXlzbzUq6u7daMcea7x3\nXl7Ezho1NVD1/X6eeqs/c+ZUBFsMCyGEEEJ0SJ0qcVaKi9FTUqh67DFsGzdiX7iweRfUdezr1hkT\n5yKIplwjdNx2HXY7/uOPx/7NN82506ipu3ej9elDaamCd0D4Uo2iIpWLf2bH6a3kvWUOhg5tXveM\ncKQ2TZiRuBBmJC6EGYkLYaVOlTjbtm/Hn5sLSUkceeEFku+9t9GuEZEoxcWg6+i9e0c8T8/KQmmk\ns4Zi1lUjwDdsWKttECxZs5t3lg9kxIg0jrvgZPQt34NWtw9zTQ1cdFFXrp5UhK1PNqlpzZ2jI4QQ\nQggR/zpX4lxYiDZwIAC+s87CN3YsSc880+Tr2detM3o3m7ShCxXNEJRwmwMB/IHEef9+hWXL7Pz7\n3w5eeSWB3/42iVtvTeaNNxJMX/fhhw7GjEll2rSuvPxyAt9/H/6P+8ABhauu6kLB3H10H9WLbdt+\nYtW3fpT0NOMHhBAJCfDpp+X8cnKRaQ9nK0ltmjAjcSHMSFwIMxIXwkqdKnFWt20zVpwDqh5/HKfb\n3eTVXFsUZRoQ3RCUcJsDwUic7evXs3mzjT/+MZGPP3ZSVKSSkqJzyik+Ro4033g4fryP2bMruO22\narZvtzFlSgpjx6ayaFHDgZHduumce66XqSf9wJlX9yAxEVJTQR+UazoIJS1NRy0uDtvDWQghhBCi\no2nOyO12x1ZYiG/ChNrHemYmVY8+SvKdd1K+cCHYY/t22AsKqLnhhkbP07KyUHftCn+C14tSVoae\nno6uQ2GhSm7u0fII/+DBqDt3MuGUMiZ8GLk7R6i0NJ20NJ28PI1zzvGhabB2rY309IaDSZxOmD7d\ng/35XVQFNgcCaLm52LZvxzdxYoPXhBu3bSWpTRNmJC6EGYkLYUbiQlipc604b9+OP1CqEeS58kr0\nrl1JeP312C6m68aK87BhjZ7aWKmGUlKCnp5OWaUNl6sr11zTtW73OqcT/3HHYWvmBkFVhdGj/Qwc\nqJmf4POhHDhQJxn25+Whhums0RqJsxBCCCFEvOg8iXN1tZHo9e1b97iicOSFF0h84QWU3bujvpxa\nVASJiVHV+DZWqqGWlFBzTBZTp6bQt6/G55+XNVj89g8bhr2FB6Goe/ca5SIOx9H3zc0N28tZ3bsX\nvYUTZ6lNE2YkLoQZiQthRuJCWKnTJM7qDz+g5eTUSQqDtLw8am64geT77ov6eravv46qvhkCK84R\numrsWlPKqh09ufRSD88/f8S0YsQ3bBi2deuivr+mCLaiC6VFGIKiBKYGCiGEEEJ0Bp0mcbaZlGmE\nqr79duxff41aWBjV9Wo7akRBz8pCCVOq4ffDnD8epteITG6/vSZsg47WGL2t7tp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TT3o+AEWBaft2KAb9m1vraE9psagI2tChAU8o1czMtjPOmobwJ59E+LPPomb1\navtWhz5qr7NGsOqbASbOREREPYJ44gQifv97oKFtJ4hQJZaWdrhUw0h9PTBpkoKdO6uxb181Xng3\nBpGSBZkJZ1xeY165EtZbbkHDQw/B9NVXkPbs8ehZ8s6d0FJT7bXB7dCGDu3QAkGpuBhqAOubm2mt\nE+e6OkT97GcwbduGms8/h5aV1bH7t1OqIRUXB6W+GWDiTCGONYtkhHFBRhgX7jUvPHO3qCvUSH6Y\ncTaKi6wsDQsXWtCnT1M9sSDYFwi6mO0VvvsO0sGDsF1/PRAbi4ZlyxD5yCP2Wg83hMpKRC5ciIaH\nH/ZorO7G4AnTpk1QR4/2+XpPOZdqCKdOIWbWLOjR0ahZtcovZSLtJc7i0aOccSYiIqLAkUpKAADi\nGdezqqEmUDPORtSMDJdlEuaPP4Zt+nQgPBwAYL39dkDXYf7gA9c3bGxE9J13wjp3Lmy33OLRGDrS\nkk48cgTy5s2w3HGHT9d7Q+vfH+KZM5B27EDslCmwzZqF+tdeQ4sdXzpy/7S09mucmTgTtcWaRTLC\nuCAjjAv3xKbEWaiqCvJIPCOcOwfBZuvwDKanceEuaW0u03AQRdQ/+6y91rm6uu0Fuo7IBx6AlpqK\nxl/9yuOxdqQlXcTzz6Nx4UIgNtan670iSVAHD0bMj3+M+qefRuODD/q1rtox42zUYUTX7Zu8BLJz\niBtMnImIiHoAqbgYWkJCl5lxFktL/dI5YdWqwXjnHXO756lDhxqWSQjl5RCLi6Fcc03L88eNg+26\n6xDxwgttrgl/5RVIRUWo+9OfvFokpw0YAPH0aa/r0MX8fMi5ubAsWODVdR3RuGQJaj75BLabb/b/\nzaOjoZvNEM6da/OWcOYMdFmG3ru3/5/rASbOFNJYs0hGGBdkhHHhnlhcDGXixC4z4yx2sBWd1Qo8\n/ngEtmzJwg03tL+RtatezuZVq2CbMQMwt02+G5Ytg/m991ok3KY1axD217+i9t13gchI7wYty/Yy\niNJSry6LeO45NP7iF0B0tHfP6wDbLbdAHTs2YPd31VkjmB01ACbORERE3V9DA8SqKqjZ2RC7yOJA\n6ehR+4yzD/LzRdx4YwyKi0WsW1eDtLT2NxXRBg+GWFYG2Fom2eZVq1qWaTjRk5PR+MADiFy61F5C\ncOAAIh98ELXLl0Pv29ensavtbC7SmnToEOTt22H5r//y6XmhytUCQcnLLcX9jYkzhTTWLJIRxgUZ\nYVy4Jpb7jzQ4AAAgAElEQVSWQhswAFpyMgQ/lmoEcvba1xnnVatMuOmmGNx1lwX/+lcd8vO3eHZh\nWJh9441jxy6O4dgxiGVlUNzs+me5916IZWUwL1+OqJ/+FPXPPw81O9vrcTfzdoFg+LPPonHRIvsW\nh92I7iJx9sdukh3RocS5trYWV111Ff72t78BANatW4epU6di6tSp2Lhxo+M8V8eJiIgo8Jpn6bSk\nJIj+SnYbGhCXne3zYrb2SD4mSNnZKj77rAbz51u9Lo/WWm1AYlq1CrZZswBZdn2R2Yz6p59G1AMP\nwHrnnbDNnu31mJ15s0BQOngQ8u7dsNx9d4eeGYpclWoEs4czALiJhPa98cYbGDlyJARBgNVqxYsv\nvogVK1bAYrFg3rx5mDx5ssvjRJ5gzSIZYVyQEcaFa1JTXaiemOi3Ps7ynj0Q6uthWrsWlsWL/XJP\nZ2JpqU89nAcMaNlb2Zu4aN1H2bxyJRqefrrd65QbbkDNmjVQLr/c84G6GsPQoQj7v//z6NzwZ59F\n4333eV9L3QVoqakwHT7c5rhUUhK0jhpAB2acjx49irNnz2LkyJHQdR0HDhxARkYG4uPj0bdvX6Sk\npODIkSMujxMREVHnEJtm6fTERL+VV8i5uVCys2Fes8Yv92uhuhpCXR30lBT/39sN5y2vxeJiiFVV\nHifDyhVX+KUlm9bcT9qoFZsTaf9+yHv3wvKzn3X4maFIS02F0LpUQ9MgHjvW4U1xOsLnxPmll17C\nfffd53h95swZJCUl4f3338f69euRlJSEyspKl8eJPMGaRTLCuCAjjAvXmvveOtrRtZOUeULetg2N\nDz0EsaQEQkWFH0Z5kVRaCnXgwHYT0W++kVqv5WvDm7jQMjMdibN55UpYb7oJkCSPr/cHPT4euskE\noZ1cKfzZZ9G4eDEQEdFJI+tcRqUaQkUF9F69OrV7SGs+Jc5fffUVBg4ciL59+0Jv9X++OXPmYPr0\n6W2ucT4u+LFJNhERUY+jKEBjo8eniyUl9k4EUVH2RLC2tmPPt1gg79sH25VXwjZlCszr13fsfq14\nsgBs714JP/lJNI4f91+fA0cvZ12H+aOPXHbTCLTWtdatSXl5kPfvh2XevE4cVefS+vaFWFkJqKrj\nWLDrmwEfa5wPHDiAzz77DF9++SXOnTsHURTxk5/8BFVOX/9UVVWhT58+qKura3M8KSnJ8L4LFy5E\n//79AQBxcXEYNWqUozap+S9GvuZrvubr5mOhMh6+5uvOfj1wzRpk1tej/g9/aPf8nevW4frGRuhN\nn7310dHI+/RT5Nx2m8/Pjz90CJdlZACxsTg4ZAgGvPsu5KZ2aP74+YZu3IhBTYmz0fvnzpmxdOkU\nvPRSPb77bjO++84/vy/0pCQoNhvy33gDE2troY4fH5T/fcfExCChuBi46irD9yc88QTkBx8EwsND\nIh4D9Vrv3Ru716xBY0ICrrrqKohHj6IiMhIHfPj93/zfy8rKAAALfNwsRigoKOjQ9zV/+tOfEBUV\nhZ/+9KeYNm2aYxHg/Pnz8dlnn8FqtWL69Oltjrd24sQJ5OTkdGQoREREPULkAw9A3r4d1Tt3tnuu\n9M03iHzkEdR8+SUAIOaGG1D/zDNQx4/3+fnhzz8PoboaDU8+CdTVodcll+DCgQP2r9H9IHLRIijj\nx8M6f36b92w2YPbsaFxxhYLHHvN81t1TMVOmQI+IgDpmjP3nC4KwP/wB4unTbRYmCmfPIvzFF2Fa\nswbVu3YBYWFBGV9nibnhBtT/7ndQJ0wAAEQsXQqtb19YnEqFfZWXl4f09HSvr/Pb9xsmkwlLlizB\n3Llz8bOf/QxLly4FAJjNZsPjRJ5w/kuRqBnjgoz0pLgQi4rsX+VXV7d7buuvt7WkpA5vuy1v2wal\neUY3Kgq2q6+GyWBSzFdiaanLUo3HHotATIyORx/1LGn2Ni7UzEyYcnODVqYBNJVqOLekq69H+Msv\nI3bCBMBiQc1nn3X7pBlouwlKsDtqAB1sRwcAixYtcvz3GTNmYMaMGW3OcXWciIiIvCcVFUEdPBhy\nXh6Ua691e27rLYo73FnDaoW8Zw/qJk50HLLNnAnTmjWw/vjHvt/XieSiFZ3NZl/X+Oab9RADtIWb\nNnQo1IEDO7SJSUc5ejkrCszvvouI55+HMmECajZsCHri2JlaJ85iB3aT9JcOJ85EgeRco0bUjHFB\nRnpKXAjnzkFobIT1xz+GvGdPu4mzVFwM66xZjtd6YmKHtt2W9u6FOngw9Lg4xzHbtGmIfPRRoKGh\n410e6uognD8PvV+/Nm+ZTMDzzzd4dTtv48I6cybUzEy/tJbzlTZwIMSKCsReeSW0lBTULl8OtQeW\ns2qpqRBPnLC/sNkglpdDGzgwqGNi4kxERNSFiEVFUDMzoYwbB/O//93++a2+3tYSEw23MvaUaetW\ne89iJ3p8PJQxY2DauBG2Dn7DLB07Bm3AAARsSrkdWmYmtMzMoDzbwWxG46JFUCZOhHLddUFN4oNJ\nS0uD3FTHLx4/Dq1v36CXqAQnKok81JNqFslzjAsy0lPiQioqgpqRAfXSSyHv2eO+J7OmQWr19bae\nlAShAzXO8tatF+ubndhmzoRp7Vqf79vM31/Hd9W4aHzsMSjXX99jk2agZamGJy0KOwMTZyIioi5E\nKiqClpEBLS0NANpsEuFMqKiwl1TExDiOaYmJEH2tcbbZIH/zjeFuetaZM2H69FN7j+kOEEtLoTXV\nN+flSair69DtqAvTUlMd8S0VF9t7kQcZE2cKaT2lZpG8w7ggIz0lLsSmGWcIApScHEh79rg812jD\nCD0xEYKPNc7S/v1QBwyA3rt3m/f0tDRo/ftD3r7dp3s7ntE047x+vQlz5kTjyJGO7dzXU+KiO9KT\nkyFcuABYLPaOGkHe/ARg4kxERNSlNJdqAIA6bpy9XMPVuQbtu7TERJ/b0clbt0K58kqX7/ujXEMs\nLcXnRzPxy19G4oMPajFunNr+RdQ9iSK0lBSIFRUh0VEDYOJMIa6r1qZRYDEuyEiPiAubDeKJE45S\nBmXcOLczzqKrGeczZwBN8/rxRgsDnVlnzoR57Vr3dddu6DpQt78UL6y6BKtX1yA7u+NJc4+Ii26s\nuVxDKi4OiVZ8TJyJiIiCRdcRuXgxBDd1ys7E0lJoqamOzgJqdjbkgwdd1hUbbhhhNkOPirJ/Be4N\nRYG8c6fbxFkbNgx6eDikffu8u3eTj/6pIqKmCm+t74WhQ71P7Kn70dLSIJaUQPj+e0ddfzAxcaaQ\nxto0MsK4ICNdMS6knTsRtnw5TJs3e3a+U5kGAOhxcdD69YOUn294vtGMM+A06+zNWA8ehJaaCj0x\n0fVJguBRuca5c8adImaPKYI4MB190ztW1+ysK8YFXaSlpsK0ZQu0/v0ByX9x4SsmzkREREES/vrr\nULOyIOXleXS+2NRRw5ly6aXG5RoWC8RTpww3jNB9qHOWc3Nhc1Pf3Mw6cybMa9Y4XldXA5s3y3jl\nlTDMmxeFkSPjMGVKjGE1R3h5KTC07Y6B1HPpqamQN28OiY4aABNnCnGsTSMjjAsy0tXiQjx6FPL2\n7aj/3e8ge5g4t55xBgA1J8dwgaB47Jj9q22Tqc17WlKS19tuy9u2uS3TcIxn3DgI1dX27h8qMG5c\nHJ55JgJVVSJuvtmK1atr8M031YbticWjRw232u6IrhYX1JKWlgbx++9DoqMGwJ0DiYiIgiLszTdh\nmTcPymWXQSosBBobgfBwt9dIhYWw3Hlni2PKuHEI++tf255bUmJYpgEAekKCdy3pVBXyjh2of/VV\nw7fLywX06qUjOhqAKMI6YwZM69ZBW7wYBQUXPN4EUCwtDf6ufRRStNRUAAiJjhoAZ5wpxLE2jYww\nLshIV4oL4fx5mFesgGXBAiAiAmpGBqSDB91fpOsQi4vblGqoI0ZALCsDampaHBeLi13O0nm7CYp0\n6BD0Pn2g9+njONbQALz8cjiuvTYG114bi2+/vVh/arvlFoS/+SbkjRu92jlbKinxe4LUleKC2mpO\nnEOhowbAxJmIiKjTmd95B7Zp06D37QugqdyinXINoaoKkCToCQkt3zCZoI4YAblVJwt3O615u+12\n6/7NO3ZImDQpFvv3S3j66QYcOXIBEydebB2nXHkl6v74R0Tdfz8if/nLNkl9m5/t7FlEPP44pAMH\noI4Y4fG4qPvTe/WCFh/PGmciT7A2jYwwLshIl4kLqxXhf/kLLAsXOg4pOTntLhCUDBYGOq436Ocs\nGrWia+LtjLO8datjYWBJiYj/+q9o/PrXDXjnnTpceaUC2aDwU7n+elzYuhWw2RB71VWQv/667Ul1\ndQh/6SXEXnYZYLGgets2xx8T/tJl4oKMCQIu5OVBT04O9kgAMHEmIiLqVOZVq6BmZkIdOdJxTPFg\nxlk0WBjouH7cuDbXu61x9mbbbU2DvH27Y2HgkCEadu++gB/8wNb+tbGxqP/jH1H/wguI+sUvEPHw\nw0BtLWCzwfzOO4ibMAHSoUOo+fRTNDz/fMgkRxRiYmODPQIHJs4U0libRkYYF2SkS8SFriPstdfQ\n6DTbDABaZibE06chnDvn8lKpsNDl19Vttt6uroZQV9di9lbTgI0bZZw/L3g14yzl50OPj29xr4gI\njy51UKZMQfXWrRDq6xF79dWIveIKmD/+GLX//Cfq/vpXaAFc+NUl4oK6DHbVICIi6iRybi6ExkYo\n11/f8g1JgjJ2LKS9e6Fcd53htVJREZRJkwzf0wYMAKxWCCdPQk9NvbjIrqnnW2Mj8POfR+HAAQmv\nvFKPSVnua5zLykR88YWM8+dFPBrtfpttT+lxcah/7TVHyYZyzTUdvidRZ+OMM4U01qaREcYFGekK\ncRH22mto/PnPYdRqor0FgmJxsctSDQhCi3INyamjxrlzAm69NRqCAGzdWo2rr1agx8fbt9xWLy7o\n27JFxuOPR2DixFjccEMMvvlGRmamCnnXLigTJ3bgp25JueaaTk2au0JcUNfBxJmIug3z3/8O2Dyo\nuyQKArGwEPLevbDefrvh+24XCDY0QDx92j6z7ILzRihiU0eNEydETJ8eg5wcFW+/XXexTbQkQY+L\ng3D2LAB72fGzz4YjNlbH66/X4ciRC/jzn+vxgx/Y7LXVWVk+/9xE3QkTZwpprE0jI4Zx0diIyIce\nglhc3PkDopAQ6r8vwt94A5af/cxlgbBjgaDBXtTS0aP2pNmofUXz9U6dNaSmjhpbtsj42c8sePLJ\nhjaT3HpiomP3wOhoYM2aWvzqV43IyVEvnqtpbhcZdgWhHhfUtbDGmYi6BamwEIKqQiwvh3bJJcEe\nDlELwpkzMK1cieqdO12eo6emAoJgr1NOS2vxnlhY6LpMo4makwN5/35AVSE2Jbs/GWd1eb6WlATx\nzBlo7sZdUQE9Li6kuhoQBRNnnCmksTaNjBjFhXT4MABALC/v7OFQiPD294W8bRsi77svQKNpKfy5\n52CbNavFznttCIJ91rlVP2bAvjCwvcRZ790bWnIyxIIC+4xzO7PEekKCY8bZFcmDhD3U8XOE/Ikz\nzkTULUiHD0OPiWHiTB4zbdgA0/r19tKIpu4TgRD2+uswbd6MmvXr2z23eYGg7eabWxyXiopga9WJ\nQ9eBwkIR27bJ2LrVhL59Nbw4bhzMa9dCDw+H3quX22dpSUkQ2+nlLBUVhcyObUShgDPOFNJYm0ZG\njOJCys+HbfJkiCdOBGFEFAq8/X0hb9sG4fx5iMeOBWZAAEz/+Q/CX38dNf/+N/Tevds939UCQeeO\nGqoKvPhiOIYNi8OcOdHYvVvG5Mk23HOPBWpODswffuhRsutc4+yKWFzscrfCroKfI+RPTJyJqFuQ\nDh+G7cYbOeNMnqmuhlRQANuUKW22qvYX+euvEfnoo6j58MM2NcuuqNnZjjplB02D5JQ419YKKCgQ\nsWFDDfburcZrr9Xjjjus6N9fsy8Q9KBMA7hY4+wOZ5yJWmLiTCGNtWlkpHVcCOfPQ6ipgXL55ZA4\n49xjefP7Qt65E0p2NpTLLzesKe4o6eBBRN1zD+r+7/+gDR/u8XV6r17QUlIgFhQ4jgkVFdBjYhwL\n9OLidLz1Vj0GD267rE8dORK62ezZjHNCgttNUAB74qxlZno8/lDEzxHyJybORNTlSYcPQ83Kgpaa\nCqGyElCUYA+JQpxp61YoV17ZdqtqD5j/8Q/IX33lsme4WFaG6DlzUP/881CuvNLrsSmtNkLxatY3\nLAzqmDEeJbt6ezPONTUQLlyAlprq2bOJegAmzhTSWJtGRlrHhXT4MNThwwGzGXpiIsRTp4I0Mgom\nb35fyLm5UK66CsqYMfaOLFbXbducCefPI/LxxxHx+98jLisLkQsXwrRuHdDQYH//++8RfdttaFy8\nuM0CP0857yB4+rQAPb/Iqzrj2nffhe3GG9s9T0tMdDvj7Ni222CXw66EnyPkT137/w1ERLAvDFSb\nvg7X0tJY50zu1dRAKiiAMm4cEB0NddAgSN9+69Gl8rZtUCZMQM1nn6F682ao2dkIe+MN9MrKQtRd\ndyH6xz+G9Qc/gOXee70e1smTAj791IR/l03E6TX7cMcdUZg0KRZVuSVetYTTk5IASfLoPHeLA6Ui\n7xJ2op6AiTOFNNamkZHWceGYcQagpaezs0YP5envC3nnTihjx6J5/2m1VWmE22s3b4Zt0iQA9g1L\nLPfcg9pPPsGFPXtgmzwZ1tmz0bhsmU/j//RTE95+Owzb6sYg5UIh7vjhBaxbV4P+DYHppazHxUFo\naHA52y4WFnaLhYH8HCF/YuJMRF2brkPMz4fatFsgZ5ypPc31zc2ct6pu99rNm6FcfXWb43piIqzz\n5sFy330+94S++24rVqyoxTMv6xBHDsOstD0YMkSDVFgYmAV6guB2gaBUXAy1iy8MJPI3Js4U0lib\nRkac40I4eRKIiICekACgZ804m995B9LevcEeRsjw9PdFc31zM+XSSz1aIChUVkI4dQrq6NE+j1HX\ngf/8x4TqavfnORYI1tRAOH8+YAv0tMRElwsExW5SqsHPEfInJs5E1KVJhw87ZpuBnjXjHPbee5C3\nbAn2MLqW2lpIR47Y65ubaMOGQfzuOwjnz7u9VN6yxT5T7UH9sJFjx0Tcdls0Xn01HGfOuP/4bS4f\nkYqLoQ4ZErAFei633VZVSKWl9mcTkQMTZwpprE0jI85x4bwwEADUnjLjrOuQjhyBdPx4sEcSMjz5\nfSHv3AllzBggIuLiQUmyd9dop87ZtGWLYZlGe777TsDTT4fjhhticM01Nnz5ZY1hD2ZnzTsIBnqB\nnqttt8Xycujx8UBUVMCe3Vn4OUL+xMSZiLo054WBQNOM88mT9u/EuzGxvBxCbW1At4vujuRW9c3N\nPOnnLG/ZApuXifPJkwIuvzwW584J+OKLGtx/vwUmU/vXaRkZEM+cgbRrV0AWBjZzte12d1kYSORv\nTJwppLE2jYw4x0XrUg3ExgKiCOHcuSCMrPOI+fnQUlMhlpUFeyghw5PfF6ZW9c3Nmmd4XRFPnIBQ\nWwvNOdY8kJqq48CBC3jhhQYMHOh+lrnlA0Uo2dkwf/RRYBNnF5ugdKeFgfwcIX9i4kxEXZfNZt+k\nYdiwFofV9PRuX+csHTkC69Sp9p9TVYM9nK6hthZSfj6USy9t85bSPOPs4psKublMw0XHjCNHRJSX\nG78XE+PbcJWcHIjnzwe2VMNFjbNUVASNM85EbTBxppDG2jQy0hwXYnGxvdtAZGSL97W0tG5f5yzl\n50MdOxZ6794QQnSnRPHYMUgHD3ba89r7fSHv2gVl9OiW9c1N9NRUwGRyOYNvVKZRVibilVfCcPXV\nMbj11hgcPCj7PngDak6O/T8DuEBPT0qCYFTjXFwc0JnuzsTPEfInnxLnc+fO4dZbb8XNN9+Mm266\nCevWrQMArFu3DlOnTsXUqVOxceNGx/mujhMRdYTk1L/ZmdYTZpybfnZtwABIIVquYf7nPxE9e3bI\nlJO4qm9upuTkQNq9u+0bum7v39y08cmBAxKmTYvB9dfHoKxMwu9/34CDBy9g+nSbX8erTJgA25Qp\nAV2gpyUmQnQx49xdEmcif/Lpz+OYmBi8++67iIiIwLlz5zBjxgxMmTIFL774IlasWAGLxYJ58+Zh\n8uTJsFqthseJPMHatK5B3rQJ0uHDsCxc2CnPa46L1h01mnX7GWdVtSc2w4ZBHTDAvkDwiiuCPao2\nxKoqaP37I2rePNSsX2840+tP7f2+MG3dioZHH3X5vjJuHOS8PNhuvbXFcbG4GLokQRs4EADQp4+G\nJUsacO21ikcL/Xyl9+mD2g8+CNwD0LQ4sHWNc3U1hNpa6P36BfTZnYWfI+RPPs04y7KMiKZfgDU1\nNTCbzdi/fz8yMjIQHx+Pvn37IiUlBUeOHMGBAwcMjxNR9yFv2RKUfsJtFgY26e69nMXSUmh9+gDR\n0dD694cYoi3phKoqNC5ZAi0jA5FLlgS300ldHaRDh6CMH+/ylNadNaqr7UNuXd+ckqJjypTAJs2d\nxWgDFKmoyN5Rw8cdEIm6M59rnOvq6jBr1izMmjULjz/+OM6cOYOkpCS8//77WL9+PZKSklBZWeny\nOJEnWJvWNUhFRRBPn+605zXHRetWdM26e+LsXKKiDRwYMqUQrYmVldCSklD3yiuQDhxA2F//GtDn\nuft9Ie/aBWXUqDb18M1efz0MDyy/HMqebzH/J2bccks0xoyJQ36+2KJMo9uJjgY0DaircxzqbgsD\n+TlC/uTzSoaoqCisXr0aJSUl+J//+R8sWrQIADBnzhwAwOeff97ifOfjgou/YhcuXIj+/fsDAOLi\n4jBq1CjHVyzNgc/XPet1s1AZD18bv7bs3w/Z6YM30M87ePAgpPp6TK+shDZ4cJv3d373Ha4+erTT\nxtPZr8s//RRSdDQSAWgDBqDutdewNTc3ZMbX/HpGVRX0Pn2Qu3cvIhcvxuTHHoMyciS+VpSAPK+Z\n0fvDPvgA6U31zUbvNzQkY+ykEajfNgBT+32EqvQMvPlmFvokqsDGjdg2ezYudXP/LvtaENAQE4M9\nGzZgXFOJSsXGjVDDwpDcTX7eg00LVENlPHwdvHwiNzcXZU0TDQsWLIAvhIKCgg5/dzZ//nzcd999\nePvtt/HGG28AAO6880489thjqKurw1/+8pc2x7Oyslrc48SJE8hpWkFMRF2IoqBX//6AquJ8RYXP\n2xF7S9q9G5EPP4waowXHqopeqak4f+wYEB7eKePpTFF33w3b9Omw/uhHEMrLETt1Ki4cOhTsYbXR\nKy0N548csc9qApA//xxRDzyA6i+/hJ6S0qljiZk+HcfvehSbzddj9mzXi/gi77sPSnY2rHffDQCQ\nvv0WUXffjepduzprqJ0u5rrrUP/881CbtiGPmjcP1ltuge2WW4I8MqLAycvLQ3p6utfX+VSqcfr0\naZxr2lygqqoKpaWlGDRoEIqKinD27FmcOnUKp0+fRlZWFkaNGmV4nIi6B7GsDFpSEvTYWMO2VoHi\nqkzD/qYErW9f+w6C3ZBzqYbety+Es2eBhoYO39f8zjswv/deh+8DAKittf9nU9IMAMqUKbDMn4/o\nu+4CrNYWpyuKfZe9b76RUFHh39raquMNUPZ8i2seuQ5Hj7r/w05pVecsb97s0zbbXYneqs5ZKi4O\naO9ooq5M9uWiU6dOYdmyZY7XjzzyCBISErBkyRLMnTsXALB06VIAgNlsNjxO5Ilcp6+fKTSJTR+y\nwnffQTx9GmqfPgF/Zm5uLqYcPgzVzR/hzXXOWgB74AaFxQLx+PGL2yFLkn0HwRMnoHVwp7fwt96C\nWF4O5YorHB0kAKCgQMTatWb86EdWpKd7tvudWFUFLSmpzfHGhx6CtG8fIpYtw+tZL+O998JQUSHi\nzBkBCQk6+vXT8PDDjejXz/vWbq1/XyxcGIlvvpGRdXIPXkkcja++VpGUpLi9hzpuHMKbviEF7AsD\nrbff7vVYuhItKeliZw1VhXjsGNTBg4M7KD/i5wj5k0+J89ixY7F69eo2x2fMmIEZM2Z4fJyIuj6p\nsBDq0KGQdB3Cd98Bo0Z1znPz8+09bl3Q0tO7ZUs6saQEWnp6ixIUbcAAiMePdyhxFo8fh3DmDBp+\n+UtEPvggaj/6yNFVobpaQFmZiOuui8GyZQ24805ruw0XhMpK6ElJUBTg/HkBiYlNVYGiiLo33kDs\n9ddjVvJyDH/qJ0hN1ZCcrLfbpWLhwkhUVYmorRVQWwvU1gqoqRGwcmUtRo1qu3vivHkWLF7ciBEf\nbIAsXo7GpPYrE9VLLrF/U1FdDURGwrRtG+r/+Md2r+vKnFvSNX+D5GoRJVFP51PiTNRZOEsQ+qTi\nYiijR0Ooqem0zhpXXXklpLvucl2qAdhnYbthZw2jTV+0AQMgHT8O93Oprp05I6Do0S8RHjkD2YsW\nwfzJJzD/85+w/vSnAIDx41WMH1+Pe+8V8YtfROGTT8x49dU6pKYaJ6K6DpRs+x5KRV/cMDQOd9xh\nxdNPO5WSxMai9u9/x5Cbb0by9VlQ08Z4NM777mvEiRMioqOBmBgd0dE6YmJ09O5tH0fr3xcTJ9qT\n6fAdW9H48MOe/WPIMpRRoyDn5UGPioLavz/0xETPru2itIQEiE3drsSiom5XpsHPEfInbrlNRB0i\nNrWu0pKTOy1xFqqqAE1zu8AsoDPO1dWI+O1vA3Pvdkj5+W1KVNSmGWdv6Dqwe7eEn/88EuPHxyJ9\n33ok3T0FkGXU/+EPiHjiiTZbeQ8fruGzz2owYYKC+fOj27RltliA5cvNmDw5Bv95/QKkfon45pvq\nlklzE234cNQ/9xyi5s/3uDb+kks03HijgiuuUDBqlIpBgzQkJupu16PK27dDKiiAMmGCR88Amvo5\n5+XBtGVL921D58R52+3mb5CIyBgTZwpprdtMUeiRiouhZmRAT06G0EmJc/6HH9pnm93UC2hpaQFb\nHLF2CN4AACAASURBVGjKzUXYa68BNv9usewJ6cgRwxlnbxPnefOicO+9URg+XEXe1ycxsnYn0u6y\nJ4nqyJGwzJ+PyF/9qs2mJSYT8KtfNWLt2hrDf/4tW2Q8/ngDlv5XGS65Jh5JbsojbLfcAtvNNyNq\nwQL76sAOav37Qjp4EFHz56Pur3/1attqZdw4SHv22Dc+6QGJs/O221JxMdQO1sqHGn6OkD+xVIOI\nfCacPw+hoQF6Sgq05GTIW7d2ynNjjx833DHQWSBnnOUdOyAoCsRjxzr9a21XpRpn95Th3vlRSEjQ\nkZCgISZGR1WViJtusmL8+Lb1v08+2YD+/TWIImD65Cv7jnoxMY73Gx96CLGTJsH08cewzZ7d5vqw\nsLZjCwsD3nqrHgAgbqiCNmxYuz9Pw7JliP7RjxDx1FNo+M1v2j3fU2JJCaJvvx31L7wA5dprvbpW\nHTcO8sMPQ7BYUHv55X4bU6hqUeNcVASt1ZbjRHQRZ5wppLE2LbSJRUVQMzIAQYDeiaUaQxsa3NY3\nA001zhUV9l3R/Ezevh1a796Qior8fm+36uognjoFrVXHA23gQCRWH8Mtsy0YOVKB2QxUVopITNQQ\nF2c84ztwoD1pBgDTp5/CNm1ayxPCwlD3xz8i8tFH7e3uvNS8a2C7ZBl1b78N08qVMK1a5fVznDX/\nvhAqKhB9661oeOQR2G66yev7aGlpgCRBHTYMiI3t0Ji6Ai0pqeWMczcr1eDnCPkTZ5yJyGdSUZHj\nQ1brxFINKT8fljvvdH9SZCT0mBh7dwd/brZRXw/pyBFYbr8dYnGx/+7rAcu+QpRHZaKmyoS+fS8m\nxHqvXpBEHbdcWwW9d2/vbqqqMH3+ORr/93/bvjVhAqyzZyPi8cdR//rrXt1WbNo10BN6QgLq/vEP\nRN92G2qGDYPWzrcJ7ghnzyLm1lthuftuWOfN8/EmApRx49y2O+xO9IQECN9/D+HcOcc3SERkjDPO\nFNJYmxbaRKeNErTkZPvK/NYrxvxN0wCDcgXDU5t6OfuTvGcP1OHDoY4aBamw0K/3dufgQQkvLziG\n4zHDERvb6t9YEHxaIAgA0p490JOSoPXvb/h+w2OPQd62DfIXX3h1X8FFH2dX1DFj0PDEE4ieNw/C\nhQtePavZ9s8/R/Ttt8M2dSos99/v0z2aNfz617Dce2+H7tFlREQAZjOkPXsc3yB1J/wcIX9i4kxE\nPnOecUZUFCDLEKqrA/pM8dgxWGNjPfoKXUtL83uds7x9O5SJE6FlZHRKqYauA3/5SxhuvTUad4ze\nh3F3Zhiuc9MGDvQpcTZ99hmsU6e6PiE6GvUvv4zIX/4SqK/3+L5iZaXHM87NrHPnwjZ5MiIXLfLq\nOgCAxYLxzzwDdfhwNPz6195f34qWmQk9ObnD9+kqtMREyDt22BNnInKJiTOFNNamhTapqKjFCnwt\nJcW+CUogn3n4MOSxYz06NyAzzjt2QLn8cqgZGRCLigI6w66qwLBhcfjwQzM2bKjBJdphlzPtWv/+\nviXOGzbA5i5xBqBMngy9d29IR454dtOGBsBmg+5DfXDDU0/ZF196+b9bxLJliEtLQ/1LL3W7GdPO\noCcm2mv3u2HizM8R8icmzkTkG0Wx71Y3aJDjUGf0cpYOH253YaBjPOnp/k2cFQXy7t1QJkxwbIrh\naQ9iI+fOCVi3zoSlSyNw9mzbZE+SgF27qvH55zUYPFgz7KjRrHkTFG+IJ07Yt0m/9NJ2z9XS0z1u\n7yeeOWP/9/ElgTWbYZsyBeYNGzy/xmqF+d//Rv1zz8FtU2dySUtKgpyX1+0WBhL5GxNnCmmsTQtd\n4vHj0FJS7PWRTTqjs4Z04AAOt7c3cxN/zzhL334LLS0Nenw8IAjQhg71ulxj40YZjzwSgUmTYjBm\nTBz+9rcwt72Oe/WyvydcuADhwgX7dtsGVB9KNUyffmrfttyDZNObf0uhshKal2UazmzTpsG0bp3H\n58tbtkDLyMCWTl6s2Z3oiYkQLJZuWarBzxHyJ3bVICKfSE07BjrTkpMDW6qh65B37cLZ227D4PbP\n9nsvZ3n7dihOfX3VjAyIhYWAF71+8/Ml9O2r4cUX6zF2rAoP/waAmJ9vb48mGs93+FKqYdqwof3u\nJM3392ILc9HLhYGt2a67DlGLFgHV1R7VspvXrYN15kyfn0f2GmddENq0OiSilpg4U0hjbVrocvRw\ndhLoUg2xtBQIC8OlBhtyGPH3jLO8fTtss2Y5XquZmbAcLEHeHgmKAqiqAEUBjh4V0a+ffXvo1hYu\ntPj0bKMdA51p/fvbf1ZV9axcobYW8q5dqP3b3zx6vpaaCnnPHo/OFSoroXcgcUZ0NJSJE2H68kvY\nbrmlnYFpMK1fj8bVq3HVkCG+P7OH0xMToQ0YAISHB3sofsfPEfInJs5E5BOpqAhKdnaLY3pKCsSD\nBwP2THnnTigTJnh8vp6QAMFiAWpqWuyK5xNdh7xzJ+p/9zvHIW3oUNSt3IH/3RcJSQJkWYcsA/36\naZg719qx57Ui5ee77yscEQG9d28Ip05BT0tr936mTZugjBvn8QYf3vwRIlZVdahUAwCs06fbFy62\nkzhLu3dD79ULGpPmDtFSUuzfaBCRW6xxppDG2rTQ5dzDuVmgN0GRd+2CMmGC53EhCH6bdRZLSgCz\nuUVSqmZkoF9NIb74ogafflqDtWtr8fHHtfjzn+sxaVLb2eaOcLcwsJnWvz+ksjKP7me4W6C7e6em\nerw4UKiqciye9JXtxhth+uILwGZze5557VpHmQZ/X/jO9oMfoP6114I9jIBgXJA/MXEmIp+06OHc\nJNClGs2Jszf8kTgrCvDp/9uDk4OvaHnvQYPs23pbfCu/8EZ7pRqAFwsENQ2mzz9vtw2dMz0lxb71\ntgc/q9jBxYEAoKemQhswAPLOnW5O0mFauxa2H/ygQ88iACaTfdErEbnFxJlCGmvTQtP/Z+++w6Mq\n0/6Bf0+ZmTQSSnpgEkooQiChCCJdBEHRFVcFxbb4rgq4ulZsiF1s2Ne6orsgCy5KEwGRUJZOSOih\nJyE9tPSZOeX942SGSebMzJnJJDMh9+e69vr95sw5zzwJzxvvPLmf+2bOnwdjMjk0iJBjY8E20eFA\n5tIlsHl5EPv08WhdNDZwPnOGxcSJbRCeuR386MH139TplNziU6e8Hl8LprQUEAS3rZAloxHsmTNu\nx+MyMiC3awcpKUn7JDgOUmws2MJCt7cypaWNy3GuY7nhBujWrHH6PnvkCGA2Q+zbFwD9vCDqaF0Q\nX6LAmRDiMdba+KRBnV45IkL507oHHea04vbsgZCaCs1lKOp4W1mjqgpYsECP669vg1tvNeP64C0I\nGTfE4T7Ri5J0nrKlabipiywlJYHVkKrhaZqGbXyNlTXYkpJGVdWwstTlOTtrMqNfvRqWiROp4Qkh\npNlQ4EwCGuWmBSbuxAn1RgkMAyk6uknSNewPBnqyLrzdcb7lljZYtUqPn3+uxIxbc8BcuABJ5XCe\nlJwMronrB2vJbwbqmqBo2HHWrV3rus22s/E7dtSU58yUlnrcbluN2KcPYLGAddKxUPfrr/XSNOjn\nBVFD64L4EgXOhBCPcSoHA63kJjogyO/e7XF+M6AEe5wXO85r1lTgp58q0aePqLTZHjxYtYayrfV2\nE+KOHFEN2h3mkpjodseZOXsWbEEBxEGDPJ6Hpl9CzGYwVVWQ27XzeHwHDAPLhAmqXQTZvDywZ89C\nGOL4VwBCCGkqFDiTgEa5aYGJVTkYaCXFxPg+z1kQwO/dawv2PMpxbtB2WxSBffs4fPyxAXfcEYaP\nPjKoPmefEcLv2FGv8Ym9Zk3VcEOOi1MO8NXWOr3HsHixUovai9bUsobKGkxZGeQOHZw2avGUszxn\n3erVyuFG/nJVVfp5QdTQuiC+RIEzIcRjnErzEyspNtbnqRrckSOQ4uO92sWU4uLAlJTgQIaEu+4K\nRbduEXjkkVDk5bGYNs2Ee+5xX2/ZtuOsNn5yshI4O8nDbTRZVipqaNhxBscpecjOdp0FAYYFC2B6\n8EGvpqJlx7mxXQMbEq69FuyxYw5/xaBqGoQQf6DAmQQ0yk0LQBYL2Nxcp6155ehon6dqNCxD59G6\n0OshR0YiylKA224zY8eOcuzYUY53363BzTdb0L69m4C3vBzcyZMQU1NV35bbt4dsMHj3NZvN4A4e\nhH7xYgS9/Tb0CxaAT09XKmPU1S9m8vMhh4Qou7gauGq9rVuzBqLRCLF3b8/nCm2HAxvdNbAhvR7C\nmDHQrVt3+TPKysDv3w/LyJH1bqWfF0QNrQviS9Q5kBDiETYnB1JcnNPWvFJMDPgdO3z6mdzOnRBG\njPD6ealjR3QUc3Hbbe476jXE794NoV8/wKCe0gFcTtcQ3JSLY7OzoVu7FtyhQ8r/Tp2CZDRC7NMH\nYufO4DMywC5bBvbMGaUyRXw85PBwbbvNdaSkJHC5uVBrv2L49luYpk/XPJbD2BoOB/qia2BDlgkT\noPvlF5jvuQcAlI6Co0YBwcE+/RxCCHGHAmcS0Cg3LfBwx49DcpLfDNSlavg4x5nftQu1Tz1le+1s\nXZw8yWL+/CDcdZcZQ4deDh0b5jl79Nku8ptt4ycngz1xAhg+3PlNsoywu++GMHw4hBEjYHrkEaXF\nsbPgz2xWDsCdOaP8oqKRmJioWsuZzc4Gl52t5Dd7SY6IUFJSysudtur2VQ1ne5axYxHy5JNKmcOQ\nECVNY/Jkh/vo5wVRQ+uC+BKlahBCPMK6yG8G6qpqlJT47POYwkIwlZVOq3hYHTvG4oYb2qBTJwm9\neon13pM6dvSqljNQFzi7qdwgJieDO3bM5T3c4cOAIKD6gw9gvvtuJfXD1Y6pXg+pa1cI110H6aqr\nNM9XSkxUTdUw/POfME2bBuj1msdywDCQ4uNd/hLiqxrO9uR27SCkpkK3eTNQWQnd//4Hy7hxPv0M\nQgjRggJnEtAoNy3wuDoYCPi+7Ta/ezeEQYPqNblouC5MJuD//i8UL7xQg2efrUW7dvXzlr3ecTaZ\nwGdmKp/vgti9u9vKGroVK5TDbE3crEM1cK6shH7pUpjuv7/x47tJ12iKHWegrrrGr79Ct2EDhEGD\nlN3vBujnBVFD64L4EgXOhBCPuKrhDAByZCSYixdth9sai9+5E6Kb+s2vvBKMxEQJ992nXiHD2x1n\nLjMTYteuTtMSbON366akarigX7UK5kakSWilFjjrly6FMGwY5ISExo/vprKGr6tqWFkmTIBu7Vro\nV66EmappEEL8hAJnEtAoNy3wuKrhDADgOCV49lG6RsOKGkD9dVFeDmRk8Pjoo2qnm7lC377g9u0D\n4+GuM79zp6YGG5LRCLakxGmrcfbECTAXLnjVdMRTcrt2YGRZ+eUFAGQZQd9806hDgfbcVdZgS0p8\n0jXQ4XM7d4bcoYOyc++kXTj9vCBqaF0QX6LAmRCiGXPuHCAIbgMjn6Vr1NSAO3IEQlqa01vCw5Uu\nfw3TM+zJcXEw/eUvCH71VY8+nt+2TVtnOp5XqlmcOqX6tm7VKphvvNFnTUFcYph6BwT57dsBQWhU\nVRJ7WlI1mmLHGQDMEyZATE2F7MFhSUII8SUKnElAo9y0wMJaK2q4ydP1VeDMZWUppdhCQupdb7gu\ntKQN1z7+OHTbtoHbuVPTZ/Pbt4PPyoIwapSm+8Vu3cA6OSCoX7myWZt12KdrGKy7zT7KrXaZqiEI\nYC5e1Fxz2lOmRx9F1aefOn2ffl4QNbQuiC9R4EwI0Yw7cQJi9+5u75NjYnzSBIXftcvtwTzNQkNR\nM2cOQp5/HpAk1/dWVCBkxgxUz58PuW1bTcOL3buDU8lzZs6eBZuTA+Haa72ZtVesgTNTVAQ+PR2m\nKVN8N7aLttvM+fPK94tvmkqnctu2kDSsP0IIaSoUOJOARrlpgcVdDWcrKSbGJ7Wc+Z07HfKbAe/X\nhfnPfwY4DvrFi13eF/LCCxCGD3eaS6vG1nq7Af3Klco4TRRMqs4lMRFcTg4M338Py623uj3c6NHY\n8fFgCwsBUXR4j22iihpa0c8LoobWBfElCpwJIZqxJ064LEVnJcXGNj5VQ5ZVDwZWVgIff2xwu2ms\nimVR/dZbCH79deVUoQrdmjXgt2xB9RtveDS02K0bWJXAWbdqFcw33+zFZL0nJiWBPXkShh9+QK2P\nDgXaBAVBjohQPfzJlJT4vGsgIYQEEgqcSUCj3LTAwrmrqFHHF6ka7KlTSpBmV0KtpgZ46KFQbNlS\n5vU5O3HAAFhGj0bw/PkO7zFlZQh58klUf/450KaNZ+MmJ4M7ebJeGghTXAzu8GEII0d6N1kvSUYj\n+C1bICYledQ8RfP4Tg4INlUpOq3o5wVRQ+uC+BIFzoQQbSwWsHl5kLp0cXurLw4H8rt2QRg82Pa6\npITBzTe3QViYjBkzDjRq7JqXXoL+X/8Ce/r05YuyjJC//x3mO+5w22JbVXg45DZtwBQU2C7p1qyB\nMHYsYDA0ar6ekoxGMLLssxJ0DuM7KUnHlJT4NVWDEEKaGgXOJKBRblrg4I4dg2Q0agoCpdjYRuc4\n26dpHD3KYty4NhgzxoIvvqjG6NFDGzW2HBuL2lmzEDxnju2aftEisGfOoOa557weV2yQ56xfscI/\nzTqCg1H91ltNVsnDWeDMlpb6NVWDfl4QNbQuiC9R4EwI0YTLyoLQr5+me+XoaDBlZe6rV7hgfzDw\npZdCMHt2LZ57rtZnHatNDz8M7tAh8OnpYHNzETx3Lqq/+KJRu8NSt262yhrMhQvg9+yBZexY30zY\nQ6aHHgL0+iYZ21mqRlO12yaEkEBBgTMJaJSb1jhMSYlSDi0vD2xuLticHLCnTyv5w7W1Ho3FZWVB\n1Bg4Q69X0hbOnfNi1gBz6RLYs2ch9u4NAFi8uBJTplxup+2TdREUhJrXXkPI888jZMYM1D76qO3z\nvCUmJ9sOCOp++w2WkSOB0NDGzzXAOM1xLimhHGcScGhdEF/yKnAuLi7G1KlTcdNNN2Hy5MnYtm0b\nAODXX3/F+PHjMX78eGzcuNF2v7PrhJCmwx49ioiUFITfcAPCbrwRYZMmIeyWWxB2221oc8MNnnfR\ny8zUHjhDOSDobZ6zbuVKCP37AzodAIDjvBrGLcvEiZBiYgBZhmnmzEaPZ5+qoVu1CpZJkxo9ZiBy\nVsuZdpwJIVc6rwqL8jyPuXPnokePHigoKMCUKVOwYcMGvP/++1i6dClMJhPuvfdejB49GmazWfU6\nIVpQbpr3uJwcCKNGofI//3F4j9++HcEvvaR9MEFQqkP07av5ESk6GkxREdCnjycfg9rdh5Hwyiuo\nXLbM6X0+WxcMg6oFCyAzjE+ic1st54oK6LZsUapzXIGcdQ/0d1UN+nlB1NC6IL7kVeDcoUMHdKhr\nqRofHw+LxYLMzEwkJyejffv2AIDY2FgcPXoUlZWVqtd79uzpoy+BEKKGyc+HFB+v+p7Qrx+4o0eV\n+m7BwW7HYo8dgxQb61EjDU9qOVdXA4sWGfDDx9VIr7wXNfPehJiSovmzGkOOiPDZWFLHjmAuXID+\nl18gDB7s07EDiRwdDebSJSXdJyhIuShJYMrKaMeZEHJFa3SO85YtW9C7d2+cO3cOUVFRWLx4Mdas\nWYOoqCiUlJSgrKxM9TohWlBumvfY/HxIdjWQ6wkJUVpEZ2VpGov3JL+5jpZUjYsXGbz3XhD694/A\n5o0M/oi7C6F3Xg/z7be7fC5g1wXLQuzaFUGffALzFZqmAQBgWUhxcWDtSu8xFy5ADgtrsgOJWgTs\nuiB+ReuC+FKjesCWlpbinXfeweeff45Dhw4BAKZMmQIAWL9+fb177a8zTo7Fz5gxA0ajEQAQERGB\nlJQU259YrAufXreu11aBMp+W9Dpt3z60qwtA1d7vk5CAmD17IA4Z4na84jVrUBMVBev+tZbP71xV\nhW51BxDV3rdYGMyaNRGjRlkwZ84mXL/5C7Qtr0blq6+6Hf/AgQN+//46ey116wbdihXY2qEDrD0P\nA2l+vnp9TZs2MJw9C6lLF2zduhVhubkYUbfbTD8v6HUgvQ7knxf0unl/PmzduhW5ubkAgAcffBDe\nYLKzs2VvHjSZTHjggQcwY8YMDBs2DHv37sXXX3+NL774AgBwzz334IUXXkBVVZXq9YapGnl5eejf\nv79XXwQhxFHYpEmoffppCCNGqL6vX7oUulWrUPX9927HanPDDah54QUIw4dr/nzdsmXQr1iBqgUL\nnN5TWQmEhQG61asRMns2yv/4o8X/qT/orbfAb9+OyhUr/D2VJhXy8MMQRoyA+a67AAD8li0Ieucd\nVK5c6eeZEUKIexkZGejUqZPHz/HefJgsy3juuedw00032SL6lJQUHD9+HOfPn4fJZEJxcTF69uwJ\ns9msep0Q0rTYggLnqRoAhIEDETx3rvuBRBHcoUMQPTgYCChNRoSzxVi+XIfYWAmDB4sO94SFKfnT\nIY8/jsrFi1t80AwA5rvvbrLGI4GkYUk66hpICGkNvMpx3rt3L9atW4clS5bgT3/6E2699VZcvHgR\nTz75JKZOnYr7778fzz//PABAr9erXidEi4Z/giUaybISOMfFOb1FSkoCLBYwKmXF7LHHj0OKjtZ0\n0K2oiMG//63HrFkh+NMjXVGcWYqFCw2orHTStaS8HGH33IOal1+GOGCA2/GtAnldSEZjsx1s9KeG\nlTX83TUQCOx1QfyH1gXxJa92nAcOHIiDBw86XJ84cSImTpyo+TohpGkwZWWQQ0OBkBAXNzEQBg4E\nv3s3LC52pj05GHj0KIfNm3kMGSJg6P1tkHRLIZb8pwKq7f5kGaGzZkEYNgzmadM0jU8Ch5SQANYu\nLYNqOBNCWgOvAmdCmos1Fai1C37mGYgpKTDfc4+m+11W1LAjDhyotIX+05+c3sNlZkJITdX0uaNG\nCRg1Sqh7FaLURq6oUC1jx//xB7jsbJR/842mse3RuvC/hk1Q2JISCIMG+XFGtC6IOloXxJeo5TYh\nAY4pKoLhhx/AqfyVxxmtgbMwaBD43btd3uNRq+0GpJgYsEVFjm/IMoLffhs1zz7r1/JlxHu2HGdZ\nOV/OlJZC9nOqBiGENDUKnElAo9w0wPDNN5A6dgR35ozmZ9iCAqfNT+wJaWngDh0CTCb1G0QR/MGD\nqoGzLAOi43m/eiQntZz5DRvAVFbCcsstbueohtZFAAgPB1hWaYQC/3cNBGhdEHW0LogvUeBMSCCr\nrITh++9R89prYD0JnPPzIWvYcUZYGMQuXZzuZrMnTkCKjITctq3De19/bcALL7juOijHxIBpGDhb\nd5ufecYnba6J/9gfEGRLSmjHmRByxaPAmQS01p6bZli4EMK118IyciTYvDxAkjQ9pzVVA6jLc3aS\nruHsYODu3Rzeey8IDz/sZKe6jlqqBv/772BqarzebQZoXQQKW+Asy2DKyiBFRvp1PrQuiBpaF8SX\nKHAmJFAJAgz/+AdqZ80CQkIgh4eDUcsXVsF4EDgLdQcE1XBZWQ4HA8+fZzB9eig+/LAaSUmuA3kp\nNrZ+qob9bjNLP35aOusBQaa8HNDpgGDXf4EghJCWjv7LRQKav3PTmAsX0Gb0aNsBqOakW7kSUnw8\nxIEDAQBSYiK4nBxNz2rNcQaUA4Kci8DZvvGJJAEPPRSKP/3JgokTLW7HbpiqoVu3DjCbYZk0SdPc\nnPH3uiAK644zU1Li9xrOAK0Loo7WBfElCpwJcYHfsAF8VhaYkpLm/WBZRtBnn8E0a5btkpiUpC3P\nWZLAFhVpDpylrl3BlJc75iJLEvj9++ulavznP3pUVQEvvVSjbWz7w4GyjKB581BLu81XDCkhAezZ\ns2DLyqiGMyGkVaD/epGA5u/cNP3atQAA9vTpZv1cfvt2MOXlsNxwg+2alJioKXBmSkqULn8Gg7YP\nY1mIAwY4pGuwJ09Cat8ecvv2tmt33GHGokVV0Om0DW2f46z77TdAEGC58UZtD7vg73VBFFLHjmDy\n85Ud5wAInGldEDW0LogvUeBM/Iq5cAH6xYv9PQ11ggB+wwZYhg3zqBScO/zvvzsv/1bH8OmnqJ0x\no97OrJSUBFZDqoYnBwOt1Oo5q9Vv5jigbVvtaSu2VA3rbvOzz9Ju8xXEmqoRCO22CSGkOdB/wYhf\n6davR9D8+U7f92duGr9rF6TERAhDhvhsx5nNzUXYnXeizY03KlUy1O7JzgafkQHznXfWuy4lJWkK\n4L0KnAcOdMhz5jMzIWrsGOiM3K4dmNpa6JYtA2QZlokTGzWeFeUsBgYpLg5scTGYoqKASNWgdUHU\n0LogvkSBM/Erbs8esIWF/p6GKt3atbCMHw+pc2efBc66FStgvvtumP/0J7QZO1bZfW4g6PPPYfrL\nXxwqFIiJidp2nD04GGglDBwIPisLEJR22UVFDE4tPYALXRoXOINhIEVHI2TOHGW3mWEaNx4JLHo9\n5A4dwB84QDvOhJBWgQJn4lf87t1gKiuBykrV9/2Zm6b77TdYxo+H2LkzOB8FzvqVK2G+5RaYZs1C\n1XffIfSxxxD09tu2FnxMcTF0K1bANH26w7NyXByYixeB6mqXn+HNjjPCwyF17IiLmw9j4UI9Ro8M\nQ+dLWdAN8a7Vtj05JgZSdDQsEyY0eiwrylkMHFJCArh9+wJix5nWBVFD64L4EgXOxH+qq8EdP277\nc28gYU+dAlNeDrFfP2XH2Qc5zkx+PtgTJyCMGAEAEIYORfkff4DfuhVhd9wB5tw5GL75BubbboPc\noYPKpFhIRqPbXWdvAufVq3X4b/5QfHbPQaxcqcPStw9AHxMBPqa9+4fdsIwYgZqXX6bd5iuUlJAA\ntqwsIA4HEkJIU6PAmfgNn5UFsVcvJQXBSWMPf+Wm6datg+X66wGWhRwdDaa2Figvb9SY+lWrlCoZ\ndiUp5JgYVP7yC8SUFLQZPRqG776D6ZFHnI6hpZazN4Fzv34C+s9MwxuTtmDx4iqkSXtVOwZ6p2Oh\nwgAAIABJREFUo/allyCMGuWTsawoZzFwSB07AkBAtNumdUHU0LogvkSBM/EbbvduCAMHQo6N1dwR\nr7lY85sBAAwDMTGx0ZU1dCtWwHLzzY5v8Dxq5s5FzVtvwTR9OqSuXZ2OoaWWM5ufD9lJjvPZs4xq\nL5eOHWVETeoPfo9SWcNZq21CGrL+kkY7zoSQ1oACZ+I3/J49EAYOVNoyOzkg6JfctPJy8Hv3wjJy\npO1SYw8IMkVF4A4fhsXFzqvlxhtR+9xzLsdxW8tZEMCUlkKKi3N46z//0WP06HAcOsSpj92jB9jS\nUjDnzimttgM4cKacxcAhdewIOSQECAvz91RoXRBVtC6IL1HgTPxDlsHv3g3x6quVwDmAcpx16ekQ\nrr66XiAgae3a54R+9WpYxo3T3pTECXe1nJniYiU/2i4dpLwceOihEMyfH4RffqlEnz6i+sMcB6F/\nf/C7dys1nBtZio60DlKnTrTbTAhpNShwJn7Bnj0LoG63KjY2oHKcdWvX1uvYB6DRlTWcpml4yF0t\nZzY/v14pur17OYweHY6QEOCPP8rRu7eToLmOMHAg9EuXAm3aQI6MbPR8mwrlLAYOsW9fVC5c6O9p\nAKB1QdTRuiC+RIEz8QtrfjMYBlIg5TiLInTr1yu7w3Yas+PMlJWBy8qCZcyYxk/PaASbmwvVRGXU\nPxgoy8AHHwTh5ZdrMH9+NUJC3I8vXH01dCtXQqDdZqIVy0K66ip/z4IQQpoF7+8JkNaJ37MHwqBB\nAKCkajgJnJs7N43LyIAcFQXJaKx3vTE5zrrVqyGMGePQ0MQrbdpADg0FU1ICOSbG4W37HWeGARYu\nrPJoeHHAADCCEPAHAylnkaihdUHU0LogvkQ7zsQv+N27IQ4cCMB14NzcdOvWwWytpmFH6thRycM2\nmTweU79iBcw+SNOwzcXFAUG2oMDz5id25PbtIXbrRjvOhBBCiAoKnEnzM5nAHTlyuWpDmzZKXkFF\nhcOtzZ2bplu71iFNQ3lDByk+XkmT8ABz/jz43bthGTvWRzOsy3NucEBQloGaGi+7BjZQ+dNPyg55\nAKOcRaKG1gVRQ+uC+BIFzqTZcfv3Q0xOBkJDlQt1ec7+3nVmzp4FW1AAsS6FpCFv8px1a9YoJeh8\nWKpLTEpC6c5cFBczEEWlasb06aF4/fVgnwTOktEIsPSjgRBCCGmI/uvoB8yFCzB8+qm/p+E3vPVg\noB1ngXNz5qbp1q9XdoY59TrHYpcuHlfW0K9YAfMtt/hiejbmhERk/ZyHESPCER/fFr17t0VEhIwX\nX6xRUjWcND+5klDOIlFD64KooXVBfIkCZz/gdu+G4auv/D0Nv+H37LHlN1u5KknXXOp1C1QhJSV5\ndkCwvBz8jh1K624vrF6tw/ff6x2us92SMLHXCWRnX0Je3kVkZFzC/PnVCObMYM6dgxwb69XnEUII\nIcQ1Cpz9gDt2DGxZmdOSYlc6rq5joD0pJka1JF2z5aZVV0O3bZvL3F6pc2ePUjX0v/0Gy7XXAuHh\nHk3l0iUGM2aEYM6cYPTo4Vh3WbSr5azXA1FRyjpii4shR0UB/JVfLIdyFokaWhdEDa0L4ksUOPsB\nd+wYmNpaoLLS31NpdkxhIZjqakhdutS77mmOM79hg1cVLpzRbd4MIS0NckSE03s8bYLiTdOT9HQe\nw4aFIyRExqZN5RgyxDFwluPiwJw/D9TW1rvO+CC/mRBCCCHOUeDsB9zx4wAA9tw5P8+k+fHW3WaG\nqXddiovzKMc59G9/A5+R4bN5Oa2mYUdKTFSqakiS+wErKqDbvNmhA6Ern3xiwKxZofjwwyq8916N\n8/OEHKeUx2tQ4aNh18ArGeUsEjW0LogaWhfElyhwbm6yDPbYMYhGI5jSUn/PptnZ12+2J3vSPbC6\nGmxhocel4VzhMjMhDBni+qbQUMgREWAKC92Op1u3DsKQIZDbttU8h9tuM2Pnzku47jrB7b1SYiLY\nBiXpfFFRgxBCCCHOUeDczJhz5wBJgtirl5Ln3Mpwdh0D7TlL1VDLTbPmGfsycGZzcyElJrq9T0pK\n0pSuoV+9GuabbvJoDvHxsq1Cnzv2ec5WjW1+0pJQziJRQ+uCqKF1QXyJAudmxh07Bql7d8iRka1v\nx9liAX/gAIS0NIe3pJgYpTOfhgOT1sC14Y6r18rLwZhMkDt0cHurqKX1tiiC37RJtenJ8eMspk0L\nRW5u4/5PT617IO04E0IIIU2LAudmxh47BjE5GVJUVIvccWbOnoVu+XKvnuUOHlSaa6hVmWjTRmm6\n0aB7oFpuGnv6NMSePcHm5Xk1D4fxzp6F1KmTQ961Gi1NULj9+yFHRUG2yzeurAReeSUYEye2wTXX\nCIiJ0ZAn7W4erThVg3IWiRpaF0QNrQviS1dk4MweOQLdf//r72mo4o4dg2jdcW6BgbNu3ToEz53r\n1bO8kzQNKyk2FqyG/GHu9GlYRo70WaoGl5urBPQaSBoqa+jS05VugVA20H/+WYchQyJQWMhgy5Zy\nzJxpgsHQuDmrBfCt6XAgIYQQ4g9XZOCsX74chn/+09/TUMUdP66kakRFtcjAmTt6FFxOjsetpwH1\n+s321PKcVXOcT5+GMHy4EmQL7g/SucPm5EDUGDiLGmo58+npEEaPBgAUFDD47LMgfP11Fb74ohqx\nsb6p3S0mJoLLybmc2mIygbl4EXJ0tE/GD3SUs0jU0LogamhdEF+6IgNnLisL3LFj/p6GKrZux1mK\njATbAnOcuexsSHFx4NPTPX5WrdW2PTkmRlMtZ/bMGWXXvkMHTTvUbsfLzVVSNTSQ3OU4V1eDz8iA\nZehQAEBCgoz16ytwzTWND/DrCQ+HbDDYfvliCwshxcY6bRdOCCGEkMa78gJnWQafmQnm0iWlgkUg\nqa4GW1oKyWhssaka3NGjME2fDt2mTR49x5SWgjl/HlL37k7vkWJjwRQX17vmkJtmsSjVI4xGiCol\n2bzB5uVpqqgBAHL79mAkCcyFC7Zr1dXAqlU67NnDgd+2DUJKipKzXUdD6rRX7NM1WlN+M0A5i0Qd\nrQuihtYF8aUrLnBm6v58L6amBtyuM3fiBKTOnQGeV3acW1jgzJw7B5hMMN15J/gtW7Q1AqnD790L\nccAA5QCgE1pynNm8PGVnVa+HZDT6JM+Z9SDHGQyD8ujO+PDRQsyeHYx77glFr15t8c03BpSXM9Cl\np0Ooy29uava1nNn8/HqHEQkhhBDie14HzvPmzcO1116LSZMm2a79+uuvGD9+PMaPH4+NGze6vd4U\n+KwsiKmpELt3B5ud3aSf5Sn2+HGIyckAALlDB6VtsgfBp79xx45B6tEDckIC5A4dwB04oP1ZN2ka\ngLYcZ/bUKeWXDwBSp05NFjhLEvDTTzrVfx4xsTMGdTiOpCQJN91kwb59l/DLL5UYM0YAb3cwsKnZ\n13JubTvOlLNI1NC6IGpoXRBf8jpwHjduHL788kvba7PZjPfffx8//vgjFixYgDfffNPl9abC7dsH\noS5wDrgd5+xsiNZUBb0ecmgomEuX/DYf9sQJoKZG+/1Hj0Ls0QMAYBk1CrwH6RruKmoAgOyk7bY9\n7syZy4GztQV2Y5SXg7FYILdvb7tUVMTgttvC8O23QSgvd8yzCElJwhjjCTz8sAl33mlG+/bKAT2m\nuBhsfj7E/v0bNyeN7Gs5M60scCaEEEL8wevAOS0tDW3t2gnv378fycnJaN++PeLi4hAbG4ujR486\nvd5U+MxMiKmpkHr0CLzA+fjxy4Ez4PcmKCFPPw39smWa7+eys22BszByJHRaDwhWVCj/Lu52nGNi\n3OY4MydP4UBNN0yaFIaPVySjPCsPZrPmL8EBl5dXr4bz2rU6jB4djiFDBKxcWYG2bR2rYIhJSWBP\nnXK4rtu8GcKwYQDPez8hD9jXcm5NXQMBylkk6mhdEDW0Logv+SzHubS0FFFRUVi8eDHWrFmDqKgo\nlJSUoKysTPV6k5BlcFlZl3ecAyxVw9o10Mrfec5sfj64rCzN93NHj0Ls2RMAYBk2DPyePUBtrdvn\n9L/8Asvw4ZDtftFSI1mrarjoHnhhTw4W7eyBv/zFhLAUI4STeejVKwK//+5dsMrm5kI0GmE2A7Nn\nB+Ppp4Pxz39W4dlna53Gv5KTknR8M+Y3A3Xtv1tpqgYhhBDiDz4/HDhlyhRMmDDB5XWmicoMMPn5\nAMNAjo+HZDQqOcSVlU3yWR4TRaXjXdeutkt+3XGWZbCFheD37dP8iP2OM8LDIfbsCX7XLrfP6X/8\nEea77nL6/ldfGfC3v4Xg2/90gMDqUVt0OX2lYW5aTMVJvPxDLG691YJpsyMRKxdi84ZzGDBA1Px1\n2LPmN3Mc0K6djM2b3ZeOkzp3tgWsNrJcr/FJc5Di45X1YzK1uuYnlLNI1NC6IGpoXRBf8tnflKOj\no1FqFwSWlpYiOjoaVVVVDtejoqJUx5gxYwaMdYe0IiIikJKSYvsTi3Xhu3odu307Uvv1AxgGW7dv\nx4jYWCU9Ii1N0/NevR4wAOB5bN250+X9Gf/9L64JDwdCQ23vpwgCoupK5jXZ/Jy83rF2LcZZLOCO\nHAEsFrfz37lmDa4rL4dct6u5detW9OjSBZ02bYIwYoTTzxsRFwfu5Emkh4RA3rpVdfwRIyw4c+YE\n1q+PwGQxHrf3r8K52A546KED6NMHl++XJNyUmwupc5Lt+YkxMeiEs9h86KzD50sSsGPHWEyaZMa5\nc5tV53d9XQ3n7du34tprgbZt3X//pPh4yGVl2LZhA4Zedx0AIPPHHzFYFCF16dKs/54TExLAHTsG\nuaICW44exbC6BijNvZ6a+/WBuoOpgTIfeh0Yr60CZT70OjBe088Lem21detW5NadjXrwwQfhDSY7\nO9vrVmZnz57FI488gpUrV8JsNmPChAlYunQpTCYT7rvvPqxbt87p9Yby8vLQv5GHqoLeeANgWdQ+\n9xwAIPTBB2G5/nqY77yzUeO6EvLkk5Di4lD71FMu79OtXQvD11+j8qefLs/3zTcBjkPts8822fyc\nYY8cQdj99wMMg6pvvoFojVCd4HbsQMhLL6Fi/XrbNf5//0PwnDmo2LDB6XNBr78OpqYGNW+8oWle\nYbfcgoqZj2N/zFgkJEiIjLy8PJn8fISPHYtLR45cvn/SJNQ+/TSEESMcxqqqAt57LxhLlugREyPh\nzjvNMBhkiCKD6dNNAIDQe+6B+c9/huWWWzTNzyp88GBULlgAqVcvAIDhiy/AHTmC6o8+8micxgqb\nPBmW8eNh+PJLlGdkNOtnE0IIIS1VRkYGOmlsfmbP61SNV155BVOmTMHp06cxcuRIbN26FU8++SSm\nTp2K+++/H88//zwAQK/Xq15vCvy+fRDT0myvxe7dwTbxAUEuIwO6335zex9rX1Gjjj/bbrMFBZDi\n4yGkpYHTkK5hn99sJQwcCO748XrNQOoRRRgWL3aZptGQFBsLw/li9Osn1guaAYA7fRpiXUUN2/1G\no9MmKKGhwMsv12D//kt48cUaZGRw2LhRh549L6d1sLm5mpuf1Ptcu/xiAM1ahq7hPPht2yi/mRBC\nCGkGvLcPvvzyy3j55Zcdrk+cOFH1mtp1n5JlcJmZEPr1s10Su3eH/r//bbrPNJuVP5PrdGBKSiDX\n/ZlcDXf8OIQBA+pdkyIjwf/vf003PxfYwkJI8fEQU1LAZ2bCfM89Lu/n7ErR2RgMEAYPBr9lCyw3\n3+zwDL9pE6SoKIi9ewMAdu3i8O67wVi8uNJpZ2g5NhaMXUm6rVsvp3ewp0/bStFZaanlzHHAmDEC\nxowRHN7zqPmJHdG+9bbZDN327aj+/HOPx2ksMSkJQatWwTJ6dLN/tj/ZrwtCrGhdEDW0LogvXTGd\nA9m8PKU2clyc7VpT13Lmjh6FlJgIYdQo6H7/3fW9DSpqAHU7zn5qC27bcU5NBZeZ6fb+egcD7VhG\njnTafttQdyhQFIF//1uPadPC8Ne/1joNmgH1Jii2OasFzomJyr+9F5hLl8CIIuR27Tx+1r7dNb9n\nD8SuXevVgm4uUmIi2LIy2nEmhBBCmsEVEzhzmZkQUlPrXZO6dlV2IxtT6NfVZ+7fD6FvX1jGjYNO\nJW/bRpbrdQ20zS8yEqyfqmqwhYWQ4uIgpqSAO3rU7feIy86GWJfPa09w0giFuXQJ3Lr1mF90F/r3\nD8eCBQYsX16B66933PW117Dttv0ugbNUDc5JqoY7bIMazp6QOncGV7fjzG/c6Jc0DUAJ4AHYDm22\nFrR7RNTQuiBqaF0QX7qiAmexQeAMgwFSx46qzSp88pn790Ps2xeWsWPBp6c7DT6Z0lKlTF5kZL3r\ncmSkX3Oc5fh4IDQUUmKiUl3DCebiRTCVlarBmXjVVWDKyx3SJXQ//4zC3mNw7FwUvv++Cr//XoFe\nvdy3F5djY8E2aIJim/Pp07ZA0UoyGr3uHmit4ewN0W7HWbdpU7PWb7Zn/X7QjjMhhBDS9K6YwJmv\na7XdUFOma/BZWRD79YMcHQ2pWzfwO3ao3scdPw4pOdlhZ1Nu1w5MeTkguN6FbQpM3Y4zALcHBG0H\nG1V2ZmtMLM6ljnTYdTYsXIiIx6fgww+rkZqqvcaypJLjDEDJYT992lbuzXZ/XJyS7mIyaf4MK2/z\nm4HLKSLM+fPgjh6FMHiwV+M0lhwRAalt21YXODcsP0YIQOuCqKN1QXzpygic6zoGinYHA62kpgqc\nRRHc4cMQUlIAwGW6BnvsmENFDQAAxynBsx/ynK05zgAgpqaCd9FB0P5gYHY2i9dfD8K0aaEYODAc\nXbu2xceHxoFLvxw4s9nZYM+ehTBmjMfzctY9kDl/HjLLOuYj8zykuDiwZ896/FlsXQ1nrwQFQY6M\nhH7xYghXXw0YDN6N4wNVX3+tmkZDCCGEEN+6IgJnNicHCAmBHBPj8F5TlaRjT5yAFB0NhIcDqAuc\n7Woc2+OOHXPIb7aSIyObP3CurVVSLzp0AAAI/fq5PCBoPRgoy8CTT4ZAloHbbzdj4cJK5ORcxFO/\nDYF+y2ZAUlIxDD/+CPMdd8Bpz2pXQkIgBwfbStzZKmqcOuWw22wlJSZ6la7B5uV5veMMKJU1DAsW\n+C2/2Uq47jrvvtctGOUsEjW0LogaWhfEl66I/9pyTtI0ACVwNnz5pe8/88ABiHW7zQAg9u2r5Pqq\nVH7gjh1zKBeWn88gPV2HB8KVA4Lus399hy0shBQbC7DK701inz7KrrzJpLpzyh09Csvo0WAYYOXK\nSoeMDalTJ8jh4eAOH4bYsyf0S5agYtkyr+cnx8SAKSqqV6WCO3PGIb/Z/vOd1XJ2xdsazrbPTUqC\n7n//g9DKSsERQgghrdUVsePMZ2U5HgysIyYngztxwrYb6tPPtE8NYVlYxo5VTddgrTnOdioqGKxf\nr8Nve+Pw5uOVePvtIGRkcL6epiq2sLBe2T6EhEDs0gXc4cOq93PZ2ZDqUjWcFaAQRo4En54OfuNG\nSPHxkBo0S/GEFBdnK0lnzU1jT52C6GzH2Wj0qiQdm5PTqB1nqXNnSNHREK+6yusxiHcoZ5GooXVB\n1NC6IL50RQTOaqXobMLDIbdt61UOrMvPrCtFZ88ybhx0a9fWv7GyUqmz2yBA69lTwoIFVZhwX1vc\ndX0+qqoYzJgRinnzgnw6TzWMXX4zAMyYEYKNFYOw6InDePDBUPz1ryG4995QVFTU1TouL4fUsaPL\nMa31nA2LFsF0992Nmp9aLWfW1Y5zYiI4D1M1mEuXwEgS5LZtvZ0mhEGDYLrrLq/K2RFCCCGk5Wn5\nqRp1HQOd7TgDdXnO2dmN2l10+My6UnT2LKNGIXTmTKCyEggLAwBwJ08qO6VOun4wMZHoVluC116s\nwWuv1TgtsPH220HYto2HXq8U4bBYAIuFwWOP1eLGGy0eTZ8tKLBV1ACASZMsCOP7YvSZ3eAn3A9J\nYhAUJMNgANjMuooarOvfsYQRIxA6axZklkX1/Pkezach2S5wtuamcadOOe1uKBqNMHiYqmErRdeI\noFcYPhzC8OFeP0+8RzmLRA2tC6KG1gXxpRYfOLOnT0MOD3eokWxP7N4dXHY2hOuv981n5uYqh9ii\nouq/0aYNhAEDoNu0CZYbbwSg5DefMvTEmd0cBg1yLMsmRUaCtzuY5+yM1/33mzBkiACLBdDplP/x\nvIzOndVzOw4d4tCzp2iL1y9cYHD2LIuUFFEJnO1+iZgwwQIuOgUhT3yH6NvqB+HOOgY2JLdtC7F7\nd0hJSY3axQXqdpxPnqx3jT1zxqH5ie3+Tp08TtVoTCk6QgghhLROLT5Vg9u3z+VuMwCIPXr4tCQd\nl5XlkKZh1bAs3d6Fp/DryavQvr2ser/WJiixsTJGjRJw/fUCRo0ScO21AgYPFhEd7TiuJAFPPx2M\n1NQIvP12EN5+OwiDBoVj7VodgMtdA+2JvXsrueA1NfW/1qNHIWrMV6557jnUPP20pntdsZWkQ11u\nWkWFUgUkNlb1fjkuDszFiw5zd4UC55aNchaJGloXRA2tC+JLLT5w5t2kaQC+r+XMHTjgkKZhZRk3\nDrrff0f+WWD27GBUZxzHbS8moWtX9Z3hpmi7zbLAr79WYtGiSly4wKCggMX69RV46qla5f0GOc4A\ngKAgiN26gTt0qN5l+4OB7gjXXaf5Xlca5jjbKmo4S6tgWUgJCR7tOjeqhjMhhBBCWqUWHzhzWVnO\nDwbWsdVyltV3fT3lUFHDjtS1K0qrQzHz2lOormYwOu4wIgar13AGADkqqsnabqekiJg3rwYff1xd\nL6WDLSxU2m03IKam1ksbATzbcfYVOS7O1j1w2LBhYE+fdpqmYSV16uRRLefG1nAm/kU5i0QNrQui\nhtYF8aWWneMsSS5L0VnJkZEAw4ApLYUcHd3oj1WrqGGPnXQ9VsX9F8LTRuiNZ1DdtavTe6WoKJ/v\nOLskimBKSyGpNIsR0tLA79lz+UJ5OZiLF5t9Z1aKiQFbXKzknLCsam1sh2c8bIJCqRqEEEII8VSL\n3nFmT56E1L59vUYZqhjGZ+kaTFERIAiQExJw/rx66kDQ5OsR/Mc6pU5wdDQQEuJ8wDZtALMZqK1t\n9Ny0YEpKlLbVer3De2KDDoJctraKGj4XFAQ5NBTM+fPYunUrOC07zkajRyXpGtv8hPgX5SwSNbQu\niBpaF8SXWnTgzLlImWjIV623uf37IaSk4L33g3HddW1gMjneIwwdCvb4cfDbtkHq3t31gAwDuUOH\nJkvXaEg1v7mOeNVV4E6fBqqrAWivqNEU5NhYZdcZSuUUZzWcrUSjUfOOM3PpEhhZhhwR0dhpEkII\nIaQVadGBM79vH4S0NE33im52nJnz5xF2441g3KRNVP/vAJaeGIhNm3isXl2h1qEa0OshjBiBoC++\ngJjsPL/ZSoqKAttcgbNKRQ0bg0GpQHLwIAD/Bs5SbCyYwkJbjrPkpGug7X4PAmc2J6fRNZyJf1HO\nIlFD64KooXVBfKlFB87uGp/Ys9Zydib41VfBHT4Mw1dfOb1n7Vod9nx1COzAfvjll0rExzs/bGgZ\nNw7ckSNKqoMbcmSk24DdV1ztOAP1DwhyR482qnV2Y9jabptMYEtK3HYu9ChwpvxmQgghhHih5QbO\n5eXgDxzQnKohuajlzO3eDd369ahcvhyG774Dyssd7ikrY/Dyy8EYHZGBiS/0dNYI0MZS12zFbaoG\n6krSnTvn/ovwAbawELKzHWcAgl2eM+vnHWe2qAiZP/+sBM3OOsPUkWNiwFRWAlVVbsemUnQtH+Us\nEjW0LogaWhfEl1pk4MxlZCB81CiYpk3T3KVO6tgRzKVLjkGxICDkqadQ/eqrEPv2hTBqFAzff+/w\nfGSkjG2rchBcfd5t2gCgBHI1L74IISXF/b3NuOPMuNtxTktTdpwrKsCeP++3nVk5JgZMcTFCCgvd\n5jcDUA6AaixJRzvOhBBCCPFGywqcZRmGzz5D2JQpqJk7FzVvvqn9WZaFmJwM7vjxepcN334LuW1b\nFI64DfPmBWF69mzI87+A2qk//SHlYKDWKhO1TzwBhIW5vS9gcpwBiD17gs3NBb9vH8Ru3eB2a72J\nWHecU4KDIWr4RQXQ3nqbaji3fJSzSNTQuiBqaF0QX2oxgTNz7hxCp06F/pdfULF+PSw33+zxGA0P\nCDJFRTC8+x7md/0Ig4dEoLiYxeTXeoJL7QX9kiUOz3NZWRA17CB7SmvbbV9wl+MMvR5iz57Q//ST\n39I0gLrAubAQrLVroJZnEhM1laSjHWdCCCGEeKNFBM78tm0IHzUKUo8eqPj1V6/r7zas5Sz9fQ4+\nrvk/ZJmvwsaNFfjgg2qMGiXA8sTjCPrkE0AU68/Dg5xqj+bVXE1QZNntjjMACKmp0P/yi98OBgJK\n90C2qAiX9u512/zESjQawebkuBlYBkc1nFs8ylkkamhdEDW0LogvBXzgbPjmG4ROn46qDz5AzSuv\nADqd12PZ13LmN21CxOGdGP373/Dpp9UwGi+3pBauvRZyRAR0q1fXe57bvx+ii46B3pI7dADTDIcD\nmYsXIet0btNHxNRUMJWV/t1xjo4GU1qK0IICt81PbM9oyHFmLl2CzDBUw5kQQgghHgv8wPnTT1G5\nZAmEuioV3pJlu1QNkwkhzzyDmrffRmKvIMebGQa1jz2GoI8/Vh4EgMpKsGfPaiov5/HcoqKa5XAg\n46aihpW1xJ/oxx1nGAyQ27RBaHGx5t1hLW23KU3jykA5i0QNrQuihtYF8aWADpyZc+fAXrgAsXdv\nr543mYBly3S49dYwfPSRAVKXLmDPnkXQBx9A7NoVlgkTnD5rmTgRTEUF+C1bAADcwYMQe/Vq1I63\nM1KHDsrhQNl5XWhfYPPz3aZpAIDYowfMkyb5PZ1Bio2FHBsLBAdru19DLWcKnAkhhBDirYAOnLnM\nTAj9+mmuYmFVVsZgzpxgpKRE4IcfDLjnHhMeecQE6HSQjEYEff45at56y/UgLIvav/0wdwQ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p+NN79qR82TJqFy8O6zihIImzEEII0QVYN2zA/sEH2P/1r/AOVFWFdeNGXHPm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\nA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3wHr+JYh5edCqW+55So+MhFBVBZSWAgAsFgHffWdCZqaIvLyLY+SMMxEREZET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BAP6pEV56NHjyI1NRV9+/ZFTEwMdDod8vLy1AdUWgpotVffRja0VdboJM9Z++mnEDMyIA8Zovq+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\nJ+LJ0Nbd3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LnM07d1ISs5jla80+G8NVkjgLIYQQYsQEffABpkOH/D2NUc28Zw/1sbNYuCYUxdlOxCEh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\npDoWnD9LnId4oW4kqUVFaJ6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cCCGEQK2oIGRmivOkGUBRYPUK/mv9JmwFCzDv2XP2S62o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cItqSBt6K7hw9Npamjz4a+MHAz9hTU5lqzePoEecppFpejuO8Lfdcnk94OI62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\n7s9CFnV6CE0Tf0FwcN8JVMZ7TpVQJCICw088gfAf/Qg9XRK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YEdMzPRdeGRUx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\n3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aOeGERuCfKxdsb+7cYq6/vhsDB7YwaFAzgwen16YdMKCFHj26sOAMvf12Ec88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\n/DxwEvCPzQ+YNm1aatSoURn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TWr06R7t2HdfSpbmWN8F2zi4ckJ89VfjNcnbg2LtXjiNHVJyaanUpgJGqVZNG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\nRb0Yiwgm5qTMRn5mIz9zkZ3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AAKA7ys/PV0ZGRlDXdtsZ4bJ12/RFwliKYAAAALSo2xbC7CgXPHqlzEZ+5iI7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\nWHaWAwAAAKIdM8IAAACwJAphAAAAWFL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PcOSGDQovK1PjQw/1yfMBAAAgdPTZfYQzMzP10Ucfqba2Vk1NTTp48KBXE9zX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\nP3ORndnID905ePCgTpw4ofH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yQuyg1R5EROogdsEC4u+/n9yXXsJ35pmH3dfng6lT43j+eQ/Tp+fxpz817pPa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\nbxpwAMgA1gOjbIsoQLs37KKgZ38OtDm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MVvXqZ5rliy5yqnp1h6pVO/8PIOUFM78AAMDQp59atGWLRbt2nVnJ/fXXIIWFObViRYau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\n13+vuUMt33tIJrPJ3yUBAACUOa7O/LL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Me+XKGhvfjRsd3H9/fJCLaz4iLhcSFMqFWEHNr4hIPdn27yd56FCIicGzZAm0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\nTqefxET44w87W7fayM214Xb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+X4mnooy7WK2y3Huv9vbpoyNdu6rTfyvcrVu3avr069S9e5CmTMnUF1/4RryM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\nfLkaT5+uI0uXq03P67wdDgAAQJVDz68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fLzzeYNasWSxduhSA/v37Ux1be+vuEcANQO/K4zeAq4APAs49FrgTOLzyeBww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\njBhRsC1bGm9RXZ4NU80xFwpiLhSkLuZ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FjNAXpSvzj1xtfHiujtfpoAYThsnU/kad3L5Dua++WmaHYokVYwAAABRRwO+/K2Nciiql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\nxldVVcXgwYO9xyEhId6/W61WHA7HA4/V1xp2Yez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BXrXKpZISNr/oqxdfTNWSJawLDAAAklvcNMAtLYEZYBrgvouFdYHJbsGEuoAJdQET6gJ2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\n04X8fGnAgD4PLRHqItZ5vdK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A7WexcDwyAAAIvIAOwLfeyvYP8PZb2a1p01zaudOq//3PFqSKEA7I9MEMfQEz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\nlaX6vn1ldOumhD3DbFk7crR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oowQVFTm0b59T+/Y5VFLi0L59Dl13XQUXo8QQv5/NqGxRXW1c5aBXfqEuWr1X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\nWhF2002pOv/8qpjZIvnLL52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ZZ1e9NuSK8TZNb2nIUd6tFGnduv2Ki+vk0x8Dmh4ywKhk5067li1zas6cQn8P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\nlKP1eCqvQ1txK9xevapsjau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"text": [ - "" + "" ] } ], "prompt_number": 24 }, + { + "cell_type": "heading", + "level": 2, + "metadata": {}, + "source": [ + "Final Thoughts" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Near the beginning of the chapter I used `numpy.polyfit()` to fit a straight line to the weight measurements. It fits a n-th degree polynomial to the data using a 'least squared fit'. How does this differ from the g-h filter?\n", + "\n", + "Well, it depends. We will eventually learn that the Kalman filter is optimal from a least squared fit perspective. However, `polyfit()` fits a polynomial to the data, not an arbitrary curve, by minimizing the value of this formula:\n", + "$$E = \\sum_{j=0}^k |p(x_j) - y_j|^2$$\n", + "\n", + "I assumed that my weight gain was constant at 1 lb/day, and so when I tried to fit a polynomial of $n=1$, which is a line, the result very closely matched the actual weight gain. But, of course, no one consistantly only gains or loses weight. We flucuate. Using 'polyfit()' for a longer series of data would yield poor results. In contrast, the g-h filter reacts to changes in the rate - the $h$ term controls how quickly the filter reacts to these changes. If we gain weight, hold steady for awhile, then lose weight, the filter will track that change automatically. 'polyfit()' would not be able to do that unless the gain and loss could be well represented by a polynomial.\n", + "\n", + "Another advantage of this form of filter, even if the data fits a *n*-degree polynomial, is that it is *recursive*. That is, we can compute the estimate for this time period knowing nothing more than the estimate and rate from the last time period. In contrast, if you dig into the implementation for `polyfit()` you will see that it needs all of the data before it can produce an answer. Therefore algorithms like `polyfit()` are not well suited for real-time data filtering. In the 60's when the Kalman filter was developed computers were very slow and had extremely limited memory. They were utterly unable to store, for example, thousands of readings from an aircraft's inertial navigation system, nor could they process all of that data in the short period of time needed to provide accurate and up-to-date navigation information. The Kalman filter only needs to store the last estimate and a few related parameters, and requires only a relatively small number of computations to generate the next estimate. Today we have so much memory and processing power that this advantage is somewhat less important, but at the time the Kalman filter was a major breakthrough not just because of the mathematical properties, but because it could (barely) run on the hardware of the day. \n", + "\n", + "This subject is much deeper than this short discussion suggests. We will consider these topics many more times throughout the book." + ] + }, { "cell_type": "heading", "level": 2, @@ -1362,7 +1433,7 @@ "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 direcly when designing Kalman filters. Furthermore, due to your choices $g$ and $h$ will vary at every time step in a very non-obvious manner. " + "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 direcly when designing Kalman filters. Furthermore, $g$ and $h$ will vary at every time step in a very non-obvious manner. " ] }, { @@ -1377,8 +1448,7 @@ "metadata": {}, "source": [ "missing: properties - recursive - markov - random variable\n", - "should we fit bayes into here, or just leave to the next chapter\n", - "chart showing recursive loop\n" + "should we fit bayes into here, or just leave to the next chapter" ] } ], diff --git a/gh_internal.py b/gh_internal.py index 26d84a0..e74a1cd 100644 --- a/gh_internal.py +++ b/gh_internal.py @@ -77,6 +77,8 @@ def plot_estimate_chart_1(): arrowprops=dict(arrowstyle='->', ec='r',shrinkA=6, lw=3,shrinkB=5)) plt.scatter ([0], [158], c='b') plt.scatter ([1], [159], c='r') + plt.xlabel('day') + plt.ylabel('weight (lbs)') plt.show() @@ -88,9 +90,11 @@ def plot_estimate_chart_2(): plt.scatter ([0], [158.0], c='k',s=128) plt.scatter ([1], [164.2], c='b',s=128) plt.scatter ([1], [159], c='r', s=128) - plt.text (1.0, 158.8, "prediction ($\hat{x}_{t})$", ha='center',va='top',fontsize=18,color='red') + plt.text (1.0, 158.8, "prediction ($x_t)$", ha='center',va='top',fontsize=18,color='red') plt.text (1.0, 164.4, "measurement ($z$)",ha='center',va='bottom',fontsize=18,color='blue') plt.text (0, 157.8, "estimate ($\hat{x}_{t-1}$)", ha='center', va='top',fontsize=18) + plt.xlabel('day') + plt.ylabel('weight (lbs)') plt.show() def plot_estimate_chart_3(): @@ -107,10 +111,12 @@ def plot_estimate_chart_3(): plt.scatter ([0,1], [158.0,est_y], c='k',s=128) plt.scatter ([1], [164.2], c='b',s=128) plt.scatter ([1], [159], c='r', s=128) - plt.text (1.0, 158.8, "prediction ($\hat{x}_{t})$", ha='center',va='top',fontsize=18,color='red') + plt.text (1.0, 158.8, "prediction ($x_t)$", ha='center',va='top',fontsize=18,color='red') plt.text (1.0, 164.4, "measurement ($z$)",ha='center',va='bottom',fontsize=18,color='blue') plt.text (0, 157.8, "estimate ($\hat{x}_{t-1}$)", ha='center', va='top',fontsize=18) plt.text (0.95, est_y, "new estimate ($\hat{x}_{t}$)", ha='right', va='center',fontsize=18) + plt.xlabel('day') + plt.ylabel('weight (lbs)') plt.show()