\n",
"\n",
"show code\n",
"\"\"\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Times Series Analysis"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Forecasting Methods"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Forecasting methods can be generally divided into:\n",
"\n",
"- [Judgmental methods](https://otexts.com/fpp2/judgmental.html)\n",
"\n",
"- Econometric methods\n",
"\n",
"- Time series methods"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Judgmental Forecasts"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Forecasting using judgment is common in practice. In many cases, judgmental forecasting is the only option, such as when there is a complete lack of historical data, or when a new product is being launched, or when a new competitor enters the market, or during completely new and unique market conditions.\n",
"\n",
"Judgmental methods are basically nonquantitative and will not be discussed here. Instead, we will talk about some simple forecasting strategies based on Bayes rule."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Bayes Rule"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Bayes Rule can be simply expressed as\n",
"\n",
"\\begin{align*}\n",
"\\text{posterior} \\propto \\text{likelihood} \\times \\text{prior}\n",
"\\end{align*}\n",
"\n",
"In other words, prediction $\\approx$ observations $\\times$ prior knowledge."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**Example**:\n",
"J. Richard Gott III. took a trip to Europe in 1969 and saw the stark symbol of the Cold War — Berlin Wall which had been built eight years earlier in 1961. A question in his mind is \"how much longer it would continue to divide the East and West?\".\n",
"\n",
"This may sounds like an absurd prediction. Even setting aside the impossibility of forecasting geopolitics, the question seems mathematically impossible: he needs to make a prediction from a single data point. But as ridiculous as this might seem on its face, we make such predictions all the time by necessity.\n",
"\n",
"![wall0](https://media.architecturaldigest.com/photos/56bd1375202b83b31f120f67/16:9/w_1280%2Cc_limit/bridge-of-spies-movie-sets-001.jpg)\n",
"\n",
"- [John Richard Gott III](https://en.wikipedia.org/wiki/J._Richard_Gott) is a professor of astrophysical sciences at Princeton University.\n",
"\n",
"- He is known for developing and advocating two cosmological theories: Time travel and the Doomsday theory. \n",
"\n",
"- Gott first thought of his **\"Copernicus method\"** of lifetime estimation in 1969 when stopping at the Berlin Wall and wondering how long it would stand."
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
" show answer\n",
" "
],
"text/plain": [
""
]
},
"execution_count": 2,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"hide_answer()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Why it is called the Copernican principle (method)?\n",
"\n",
"- In about 1510, the astronomer Nicolaus Copernicus was obsessed by questions: Where are we? Where in the universe is the Earth? Copernicus made a radical imagining at his time that the Earth was not the center of the universe, but, in fact, nowhere special in particular.\n",
"\n",
"- When Gott arrived at the Berlin Wall, he asked himself the same question: Where am I? That is to say, where in the total life span of this artifact have I happened to arrive? In a way, he was asking the temporal version of the spatial question that had proposed by Copernicus four hundred years earlier. Gott decided to take the same step with regard to time.\n",
"\n",
"He made the assumption that the moment when he encountered the Berlin Wall was not special. My visit should be located at some random point between the Wall's beginning and its end. \n",
" ![wall1](https://raw.githubusercontent.com/ming-zhao/Business-Analytics/master/images/belinwall1.png)\n",
" \n",
"We can divide that timeline up into quarters, like so.\n",
" ![wall2](https://raw.githubusercontent.com/ming-zhao/Business-Analytics/master/images/belinwall2.png)\n",
" \n",
"Gott reasoned that his visit, because it was not special in any way, could be located anywhere on that timeline. From the standpoint of probability, that meant there was a 50 percent chance that it was somewhere in the middle portion of the wall's timeline — the middle two quarters, or 50 percent, of its existence.\n",
" ![wall3](https://raw.githubusercontent.com/ming-zhao/Business-Analytics/master/images/belinwall3.png)\n",
" \n",
"When Gott visited in 1969, the Wall had been standing for eight years. If his visit took place at the very beginning of that middle portion of the Wall’s existence, Gott reasoned, that eight years would represent exactly one quarter of the way into its history. That would mean the Wall would exist for another 24 years, coming down in 1993.\n",
" ![wall4](https://raw.githubusercontent.com/ming-zhao/Business-Analytics/master/images/belinwall4.png)\n",
" \n",
"If, on the other hand, his visit happened at the very end of the middle portion, then the eight years would represent exactly three quarters of the way into the Wall’s history. Each quarter would represent just 2.66 years, meaning that the wall could fall as early as 1971.\n",
" ![wall5](https://raw.githubusercontent.com/ming-zhao/Business-Analytics/master/images/belinwall5.png)\n",
" \n",
"So by that logic, there was a 50 percent chance that the Wall would come down between 1971 (2.66, or 8/3 years into the future) and 1993 (24, or 8 x 3 years into the future). In reality, the Wall fell in 1989, well within his predicted range. \n",
" ![wall6](https://raw.githubusercontent.com/ming-zhao/Business-Analytics/master/images/belinwall6.png)\n",
" \n",
"What if we need a single number prediction instead of a range?\n",
"\n",
"Recall that Gott made the assumption that the moment when he encountered the Berlin Wall wasn't special--that it was equally likely to be any moment in the wall's total lifetime. And if any moment was equally likely, then on average his arrival should have come precisely at the halfway point (Why? since it was 50% likely to fall before halfway and 50% likely to fall after). \n",
"\n",
"More generally, unless we know better we can expect to have shown up precisely halfway into the duration of any given phenomenon. And if we assume that we're arriving precisely halfway into the duration, the best guess we can make for how long it will last into the future becomes obvious: exactly as long as it's lasted already. Since Gott saw Berlin Wall eight years after it was built, so his best guess was that it would stand for eight years more.\n",
" ![wall7](https://raw.githubusercontent.com/ming-zhao/Business-Analytics/master/images/belinwall7.png)\n",
" \n",
" $\\blacksquare$ "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**Example**: You arrive at a bus stop in a foreign city and learn, perhaps, that the other tourist standing there has been waiting **7 minutes**. When is the next bus likely to arrive? Is it worthwhile to wait — and if so, how long should you do so before giving up?\n",
"![bus](https://raw.githubusercontent.com/ming-zhao/Business-Analytics/master/images/bus_waiting.png)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**Example**: A friend of yours has been dating somebody for ONE Month and wants your advice: is it too soon to invite him/her along to an upcoming family wedding? The relationship is off to a good start, but how far ahead is it safe to make plans?\n",
"![quest](https://raw.githubusercontent.com/ming-zhao/Business-Analytics/master/images/relationship_quest.png)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"One thing in common for all these examples is that we don’t have much information, or even we have some information, how should we incorporate our information into forecasting. Let’s hold those forecasting questions in mind, and start with some simple math."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**Example**:\n",
"There are two different coins. One is a fair coin with a 50–50 chance of heads and tails; the other is a two-headed coin. I drop them into a bag and then pull one out at random. Then I flip it once: head. Which coin do you think I flipped? \n",
"![coin1](https://raw.githubusercontent.com/ming-zhao/Business-Analytics/master/images/coin1.png)"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
" show answer\n",
" "
],
"text/plain": [
""
]
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"hide_answer()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"There is 100% change to get head for two-headed coin, but only 50% for the normal coin. Thus we can assert confidently that it's exactly twice as probable, that I had pulled out the two headed coin.\n",
"\n",
" $\\blacksquare$ "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Now I show you 9 fair coins and 1 two-headed coin, puts all ten into a bag, draws one at random, and flips it: head. Now what do you suppose? Is it a fair coin or the two-headed one?\n",
"![coin2](https://raw.githubusercontent.com/ming-zhao/Business-Analytics/master/images/coin2.png)"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"scrolled": true
},
"outputs": [
{
"data": {
"text/html": [
"\n",
" show answer\n",
" "
],
"text/plain": [
""
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"hide_answer()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"As before, a fair coin is exactly half as likely to come up heads as a two-headed coin. \n",
"\n",
"But now, a fair coin is also 9 times as likely to have been drawn in the first place.\n",
"\n",
"Its exactly 4.5 times more likely that I am holding a fair coin than the two-headed one.\n",
"\n",
"The number of coins and its probability of showing head are our priors. The outcome of a flip is our observation. We have different predictions when our priors are different.\n",
"\n",
" $\\blacksquare$ "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**Is the Copernican Principle Right?**\n",
"\n",
"After Gott published his conjecture in *Nature*, the journal received a flurry of critical correspondence. And it's easy to see why when we try to apply the rule to some more familiar examples. If you meet a 90-year-old man, the Copernican Principle predicts he will live to 180. Every 6-year-old boy, meanwhile, is predicted to face an early death at the age of 12.\n",
"\n",
"The Copernican Principle is exactly the Bayes Rule by using an uninformative prior. The question is what prior we should use."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**Some simple prediction rules**:\n",
"\n",
"- **Average Rule**: If our prior information follows normal distribution (things that tend toward or cluster around some kind of natural value), we use the distribution's \"natural\" average — its single, specific scale — as your guide.\n",
" - For example, average life span for men in US is 76 years. So, for a 6-year-old boy, the prediction is 77. He gets a tiny edge over the population average of 76 by virtue of having made it through infancy: we know he is not in the distribution's left tail.\n",
" \n",
"- **Multiplicative Rule**: If our prior information shows that the rare events have tremendous impact (power-law distribution),
then multiply the quantity observed so far by some constant factor. \n",
" - For example, movie box-office grosses do not cluster to a \"natural\" center. Instead, most movies don't make much money at all, but the occasional Titanic makes titanic amounts. Income (or money in general) is also follows the power-laws (the rich get richer).\n",
" \n",
" - For the grosses of movies, the multiplier happens to be 1.4. So if you hear a movie has made $6 million so far, you can guess it will make about $8.4 million overall.\n",
" \n",
" - This multiplicative rule is a direct consequence of the fact that power-law distributions do not specify (or you are uninformative on) a natural scale for the phenomenon they are describing. It is possible that a movie that is grossed $6 million is actually a blockbuster in its first hour of release, but it is far more likely to be just a single-digit-millions kind of movie.\n",
" \n",
" \n",
"In summary, something normally distributed that's gone on seemingly too long is bound to end shortly; but the longer something in a power-law distribution has gone on, the longer you can expect it to keep going.\n",
"\n",
"There's a third category of things in life: those that are neither more nor less likely to end just because they have gone on for a while.\n",
"\n",
"- **Additive Rule**: If the prior follows [Erlang distributions](https://en.wikipedia.org/wiki/Erlang_distribution) (e.g. exponential or gamma distributions), then we should always predict that things will go on just a constant amount longer. It is a memoryless prediction.\n",
"\n",
" - Additive rule is suitable for events that are completely independent from one another and the intervals between them thus fall on Erlang distribution.\n",
"\n",
"If you wait for a win at the roulette wheel, what is your strategy?"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
" show answer\n",
" "
],
"text/plain": [
""
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"hide_answer()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Suppose a win at the roulette wheel were characterized by a normal distribution, then the Average Rule would apply: after a run of bad luck, it'd tell you that your number should be coming any second, probably followed by more losing spins. The strategy is to quit after winning.\n",
"\n",
"If, instead, the wait for a win obeyed a power-law distribution, then the Multiplicative Rule would tell you that winning spins follow quickly after one another, but the longer a drought had gone on the longer it would probably continue. The strategy is keep playing for a while after any win, but give up after a losing streak.\n",
"\n",
"If it is a memoryless distribution, then you're stuck. The Additive Rule tells you the chance of a win now is the same as it was an hour ago, and the same as it will be an hour from now. Nothing ever changes. You're not rewarded for sticking it out and ending on a high note; neither is there a tipping point when you should just cut your losses. For a memoryless distribution, there is no right time to quit. This may in part explain these games’ addictiveness.\n",
"\n",
"**In summary**, knowing what distribution you're up against (i.e. having a correct prior knowledge) can make all the difference.\n",
"\n",
" $\\blacksquare$ "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**Small Data is Big Data in Disguise**\n",
"\n",
"Many behavior studies show that the predictions that people had made were extremely close to those produced by Bayes Rule.\n",
"\n",
"The reason we can often make good predictions from a small number of observations — or just a single one — is that our priors are so rich. \n",
"\n",
"Behavior studies show that we actually carry around in our heads surprisingly accurate priors.\n",
"\n",
"However, the challenge has increased with the development of the printing press, the nightly news, and social media. Those innovations allow us to spread information mechanically which may affect our priors.\n",
"\n",
"As sociologist Barry Glassner notes, the murder rate in the United States declined by 20% over the course of the 1990s, yet during that time period the presence of gun violence on American news increased by 600%.\n",
"\n",
"If you want to naturally make good predictions by following your intuitions, without having to think about what kind of prediction rule is appropriate, you need to protect your priors. Counter-intuitively, that might mean turning off the news."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Fitting and Forecasting"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We have 12 data points that are generated from $\\sin(2 \\pi x)$ with some small perturbations."
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"scrolled": true
},
"outputs": [
{
"data": {
"application/vnd.jupyter.widget-view+json": {
"model_id": "5638962bcfad44b9bb9abd37c05fbac8",
"version_major": 2,
"version_minor": 0
},
"text/plain": [
"interactive(children=(Checkbox(value=False, description='Original'), Output()), _dom_classes=('widget-interact…"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"interact(training_data,\n",
" show=widgets.Checkbox(value=False, description='Original', disabled=False));"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Our task is to foresee (forecast) the underlying data pattern, which is $\\sin(2 \\pi x)$, based on given 12 observations. Note\n",
"\n",
"- The function $\\sin(2 \\pi x)$ is the information we are trying to obtain\n",
"\n",
"- The perturbations are noises that we do not want to extract\n",
"\n",
"Remember that we only observe training data without knowing anything about underlying generating function $\\sin(2 \\pi x)$ and perturbations. Suppose we try to interpret the data by polynomial functions with degree 1 (linear regression), 3 and 9."
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"data": {
"application/vnd.jupyter.widget-view+json": {
"model_id": "a85de37d68c2437282fbc9bc39e8aad4",
"version_major": 2,
"version_minor": 0
},
"text/plain": [
"interactive(children=(Checkbox(value=True, description='sin$(2\\\\pi x)$'), Output()), _dom_classes=('widget-int…"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"interact(poly_fit,\n",
" show=widgets.Checkbox(value=True, description='sin$(2\\pi x)$', disabled=False));"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"With knowing the underlying true function $\\sin(2 \\pi x)$, it is clear that\n",
"\n",
"- the linear regression is **under-fitting** because it doesn't explain the up-and-down pattern in the data;\n",
"\n",
"- the polynomial function with degree 9 is **over-fitting** because it focuses too much on noises and does not correctly interpret the pattern in the data;\n",
"\n",
"- the polynomial with degree 3 is the best because it balances the information and noises and extracts the valuable information from the data.\n",
"\n",
"However, is it possible to identify that a polynomial with degree 3 is the best without knowing the underlying true function?\n",
"\n",
"Yes. We can use holdout as follows:\n",
"\n",
"1. choose 3 data points as testing data\n",
"\n",
"2. fit polynomial functions only on the remaining 9 data points\n",
"\n",
"3. find the best fitting function based on the testing data"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"data": {
"application/vnd.jupyter.widget-view+json": {
"model_id": "ec30e1c6b4ff47e0a344d9a1d5b87270",
"version_major": 2,
"version_minor": 0
},
"text/plain": [
"interactive(children=(Checkbox(value=True, description='sin$(2\\\\pi x)$'), Checkbox(value=True, description='Tr…"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"interact(poly_fit_holdout,\n",
" show=widgets.Checkbox(value=True, description='sin$(2\\pi x)$', disabled=False),\n",
" train=widgets.Checkbox(value=True, description='Training Data', disabled=False),\n",
" test=widgets.Checkbox(value=True, description='Testing Data', disabled=False));"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"[Occam's razor](https://en.wikipedia.org/wiki/Occam%27s_razor) the law of parsimony: we generally prefer a simpler model because simpler models track only the most basic underlying patterns and can be more flexible and accurate in forecasting the future!"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Time Series Data"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Time series is a sequence of observations recorded at regular time intervals with many applications such as in demand and sales, number of visitors to a website, stock price, etc. In this section, we focus on two time series datasets that one is the US houses sales and the other is the soft drink sales."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The python package `pandas` is used to read `.cvs` data file. The first 5 rows are shown as below."
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"
"
],
"text/plain": [
" sales year quarter\n",
"date \n",
"2001-03-31 1807.37 2001 Q1\n",
"2001-06-30 2355.32 2001 Q2\n",
"2001-09-30 2591.83 2001 Q3\n",
"2001-12-31 2236.39 2001 Q4\n",
"2002-03-31 1549.14 2002 Q1"
]
},
"execution_count": 10,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"df_drink.head()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"There are univariate and multivariate time series where\n",
"- A univariate time series is a series with a single time-dependent variable, and\n",
"- A Multivariate time series has more than one time-dependent variable. Each variable depends not only on its past values but also has some dependency on other variables. This dependency is used for forecasting future values.\n",
"\n",
"Our datasets are univariate time series. Time series data can be thought of as special cases of panel data. Panel data (or longitudinal data) also involves measurements over time. The difference is that, in addition to time series, it also contains one or more related variables that are measured for the same time periods. \n",
"\n",
"Now, We plot the time series data"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"
"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plot_time_series(df_drink, 'sales', title='Drink Sales')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### White Noise"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"A time series is white noise if the observations are independent and identically distributed with a mean of zero. This means that all observations have the same variance and each value has a zero correlation with all other values in the series. White noise is an important concept in time series analysis and forecasting because:\n",
"\n",
"- Predictability: if the time series is white noise, then, by definition, it is random. We cannot reasonably model it and make predictions.\n",
"\n",
"- Model diagnostics: the series of errors from a time series forecast model should ideally be white noise."
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"
"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"pd.Series(np.random.randn(200)).plot(title='Random White Noise')\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Random Walk"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The series itself is not random. However, its differences - that is, the changes from one period to the next - are random. The random walk model is\n",
"\n",
"$$Y_t = Y_{t-1} + \\mu + e_t$$\n",
"\n",
"and the difference form of random walk model is\n",
"\n",
"$$DY_{t} = Y_t - Y_{t-1} = \\mu + e_t$$\n",
"\n",
"where $\\mu$ is the drift. Apparently, the series tends to trend upward if $\\mu > 0$ or downward if $\\mu < 0$."
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {
"scrolled": false
},
"outputs": [
{
"data": {
"application/vnd.jupyter.widget-view+json": {
"model_id": "d8ca350173a145e2810e9dab58b7a084",
"version_major": 2,
"version_minor": 0
},
"text/plain": [
"interactive(children=(FloatSlider(value=0.0, description='Drift:', max=0.1, min=-0.1, step=0.01), Output()), _…"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"interact(random_walk, drift=widgets.FloatSlider(min=-0.1,max=0.1,step=0.01,value=0,description='Drift:'));"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Seasonal Plot"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The datasets are either a monthly or quarterly time series. They may follows a certain repetitive pattern every year. So, we can plot each year as a separate line in the same plot. This allows us to compare the year-wise patterns side-by-side."
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {
"scrolled": false
},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"
"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"seasonal_plot(df_drink, ['quarter','sales'], title='Drink Sales')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"For house sales, we do not see a clear repetitive pattern in each year. It is also difficult to identify a clear trend among years.\n",
"\n",
"For drink sales, there is a clear pattern repeating every year. It shows a steep increase in drink sales every 2nd quarter. Then, it is falling slightly in the 3rd quarter and so on. As years progress, the drink sales increase overall."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**Boxplot of Seasonal and Trend Distribution**\n",
"\n",
"We can visualize the trend and how it varies each year in a year-wise or month-wise boxplot for house sales, as well as quarter-wise boxplot for drink sales."
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"
"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"boxplot(df_drink, ['quarter','sales'], title='Drink Sales')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Smoothen a Time Series"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Smoothening of a time series may be useful in:\n",
"- Reducing the effect of noise in a signal get a fair approximation of the noise-filtered series.\n",
"- The smoothed version of series can be used as a feature to explain the original series itself.\n",
"- Visualize the underlying trend better\n",
"\n",
"**Moving average smoothing** is certainly the most common smoothening method."
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {},
"outputs": [
{
"data": {
"application/vnd.jupyter.widget-view+json": {
"model_id": "0ed4007e8f4a45048ee69687c419da08",
"version_major": 2,
"version_minor": 0
},
"text/plain": [
"interactive(children=(IntSlider(value=6, description='Span:', max=30, min=3, step=3), Output()), _dom_classes=…"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"interact(moving_average, span=widgets.IntSlider(min=3,max=30,step=3,value=6,description='Span:'));"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"There are other methods such as LOESS smoothing (LOcalized regrESSion) and LOWESS smoothing (LOcally Weighted regrESSion).\n",
"\n",
"LOESS fits multiple regressions in the local neighborhood of each point. It is implemented in the `statsmodels` package, where we can control the degree of smoothing using `frac` argument which specifies the percentage of data points nearby that should be considered to fit a regression model."
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {
"scrolled": false
},
"outputs": [
{
"data": {
"application/vnd.jupyter.widget-view+json": {
"model_id": "9b99df72f07d434eb888a03f1bc8f4df",
"version_major": 2,
"version_minor": 0
},
"text/plain": [
"interactive(children=(FloatSlider(value=0.05, description='Frac:', max=0.3, min=0.05, step=0.05), Output()), _…"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"interact(lowess_smooth, frac=widgets.FloatSlider(min=0.05,max=0.3,step=0.05,value=0.05,description='Frac:'));"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Forecasting with Regression"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Many time series follow a long-term trend except for random variation which can be modeled by regression:\n",
"\n",
"\\begin{equation*}\n",
"Y_t = a + b t + e_t\n",
"\\end{equation*}\n",
"\n",
"**Example**: Monthly US population."
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {
"scrolled": false
},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"
"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"df = pd.read_csv(dataurl+'Regression1.csv', parse_dates=['Month'], header=0, index_col='Month')\n",
"plot_time_series(df, 'Population', freq='', title='')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The plot indicates a clear upward trend with little or no curvature. Therefore, a linear trend is plausible."
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {
"scrolled": false
},
"outputs": [
{
"data": {
"text/html": [
"
\n",
"
OLS Regression Results
\n",
"
\n",
"
Dep. Variable:
Population
R-squared:
0.997
\n",
"
\n",
"
\n",
"
Model:
OLS
Adj. R-squared:
0.997
\n",
"
\n",
"
\n",
"
Method:
Least Squares
F-statistic:
2.467e+05
\n",
"
\n",
"
\n",
"
Date:
Thu, 22 Aug 2019
Prob (F-statistic):
0.00
\n",
"
\n",
"
\n",
"
Time:
10:02:36
Log-Likelihood:
-7011.3
\n",
"
\n",
"
\n",
"
No. Observations:
756
AIC:
1.403e+04
\n",
"
\n",
"
\n",
"
Df Residuals:
754
BIC:
1.404e+04
\n",
"
\n",
"
\n",
"
Df Model:
1
\n",
"
\n",
"
\n",
"
Covariance Type:
nonrobust
\n",
"
\n",
"
\n",
"
\n",
"
\n",
"
coef
std err
t
P>|t|
[0.025
0.975]
\n",
"
\n",
"
\n",
"
Intercept
1.565e+05
188.045
832.084
0.000
1.56e+05
1.57e+05
\n",
"
\n",
"
\n",
"
Time
213.7755
0.430
496.693
0.000
212.931
214.620
\n",
"
\n",
"
\n",
"
\n",
"
\n",
"
Omnibus:
112.704
Durbin-Watson:
0.000
\n",
"
\n",
"
\n",
"
Prob(Omnibus):
0.000
Jarque-Bera (JB):
67.588
\n",
"
\n",
"
\n",
"
Skew:
-0.600
Prob(JB):
2.11e-15
\n",
"
\n",
"
\n",
"
Kurtosis:
2.160
Cond. No.
875.
\n",
"
\n",
"
Warnings: [1] Standard Errors assume that the covariance matrix of the errors is correctly specified."
],
"text/plain": [
"\n",
"\"\"\"\n",
" OLS Regression Results \n",
"==============================================================================\n",
"Dep. Variable: Population R-squared: 0.997\n",
"Model: OLS Adj. R-squared: 0.997\n",
"Method: Least Squares F-statistic: 2.467e+05\n",
"Date: Thu, 22 Aug 2019 Prob (F-statistic): 0.00\n",
"Time: 10:02:36 Log-Likelihood: -7011.3\n",
"No. Observations: 756 AIC: 1.403e+04\n",
"Df Residuals: 754 BIC: 1.404e+04\n",
"Df Model: 1 \n",
"Covariance Type: nonrobust \n",
"==============================================================================\n",
" coef std err t P>|t| [0.025 0.975]\n",
"------------------------------------------------------------------------------\n",
"Intercept 1.565e+05 188.045 832.084 0.000 1.56e+05 1.57e+05\n",
"Time 213.7755 0.430 496.693 0.000 212.931 214.620\n",
"==============================================================================\n",
"Omnibus: 112.704 Durbin-Watson: 0.000\n",
"Prob(Omnibus): 0.000 Jarque-Bera (JB): 67.588\n",
"Skew: -0.600 Prob(JB): 2.11e-15\n",
"Kurtosis: 2.160 Cond. No. 875.\n",
"==============================================================================\n",
"\n",
"Warnings:\n",
"[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n",
"\"\"\""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"\n",
"standard error of estimate:2582.62518\n",
"\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"
"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.subplots(1, 1, figsize=(10,5))\n",
"plt.plot(df_reg.index, df_reg.Sales, df_reg.forecast)\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Exponential Smoothing Forecasts"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Simple Exponential Smoothing\n",
"\n",
"The simple exponential smoothing method is defined by the following two equations, where\n",
"\n",
"- $L_t$, called the level of the series at time $t$, is not observable but can only be estimated. Essentially, it is an estimate of where the series would be at time $t$ if there were no random noise.\n",
"\n",
"- $F_{t+k}$ is the forecast of $Y_{t+k}$ made at time $t$.\n",
"\n",
"\\begin{align}\n",
"L_t &= \\alpha Y_t + (1-\\alpha) L_{t-1} \\tag{1}\\\\\n",
"F_{t+k} &= L_t \\nonumber\n",
"\\end{align}\n",
"\n",
"\n",
"The level $\\alpha \\in [0,1]$. If you want the method to react quickly to movements in the series, you should choose a large $\\alpha$; otherwise a small $\\alpha$.\n",
"\n",
"- If $\\alpha$ is close to 0, observations from the distant past continue to have a large influence on the next forecast. This means that the graph of the forecasts will be relatively smooth.\n",
"\n",
"- If $\\alpha$ is close to 1, only very recent observations have much influence on the next forecast. In this case, forecasts react quickly to sudden changes in the series.\n",
"\n",
"Simple exponential smoothing offers \"flat\" forecasts. That is, all forecasts take the same value, equal to the last level component. Remember that these forecasts will only be suitable if the time series has no trend or seasonal component."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**Why exponential smoothing?**\n",
"\n",
"Note that\n",
"\n",
"\\begin{align}\n",
"L_{t-1} &= \\alpha Y_{t-1} + (1-\\alpha) L_{t-2} \\tag{2} \\\\\n",
"\\end{align}\n",
"\n",
"By substituting equation (2) into equation (1), we get\n",
"\n",
"\\begin{align*}\n",
"L_{t} &= \\alpha Y_{t-1} + (1-\\alpha) \\big( \\alpha Y_{t-1} + (1-\\alpha) L_{t-2} \\big) \\\\\n",
"&= \\alpha Y_{t-1} + \\alpha(1-\\alpha) Y_{t-1} + (1-\\alpha)^2 L_{t-2}\n",
"\\end{align*}\n",
"\n",
"If we substitute recursively into the equation (1), we obtain\n",
"\n",
"\\begin{align*}\n",
"L_{t} &= \\alpha Y_{t-1} + \\alpha(1-\\alpha) Y_{t-1} + \\alpha(1-\\alpha)^2 Y_{t-2} + \\alpha(1-\\alpha)^3 Y_{t-3} + \\cdots\n",
"\\end{align*}\n",
"\n",
"where exponentially decaying weights are assigned to historical data."
]
},
{
"cell_type": "code",
"execution_count": 27,
"metadata": {
"scrolled": false
},
"outputs": [
{
"data": {
"application/vnd.jupyter.widget-view+json": {
"model_id": "2b71f69e967942708aed35e4002ef277",
"version_major": 2,
"version_minor": 0
},
"text/plain": [
"interactive(children=(BoundedIntText(value=12, description='Forecasts:', min=1), BoundedIntText(value=0, descr…"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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\n",
"text/plain": [
"
"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"widgets.interact_manual.opts['manual_name'] = 'Run Forecast'\n",
"interact_manual(ses_forecast,\n",
" forecasts=widgets.BoundedIntText(value=12, min=1, description='Forecasts:', disabled=False),\n",
" holdouts=widgets.BoundedIntText(value=0, min=0, description='Holdouts:', disabled=False),\n",
" level=widgets.BoundedFloatText(value=0.2, min=0, max=1, step=0.05, description='Level:', disabled=False),\n",
" optimized=widgets.Checkbox(value=False, description='Optimize Parameters', disabled=False));\n",
"\n",
"ses_forecast(12,0,0.2,False)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Holt's Model for Trend\n",
"\n",
"Holt extended simple exponential smoothing to allow the forecasting of data with a trend. This method involves a forecast equation and two smoothing equations where one for the level and one for the trend.\n",
"\n",
"Besides the smoothing constant $\\alpha$ for the level, Holt's requires a new smoothing constant $\\beta$ for the trend to control how quickly the method reacts to observed changes in the trend.\n",
"\n",
"- If $\\beta$ is small, the method reacts slowly,\n",
"\n",
"- If $\\beta$ is large, the method reacts more quickly.\n",
"\n",
"Some practitioners suggest using a small value of $\\alpha$ (such as 0.1 to 0.2) and setting $\\beta = \\alpha$. Others suggest using an optimization option to select the optimal smoothing constant."
]
},
{
"cell_type": "code",
"execution_count": 28,
"metadata": {
"scrolled": false
},
"outputs": [
{
"data": {
"image/png": 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fFX+JKIsxF/2c9gcW0pu0A64dDpqBS2af9W/wwEp46XNw7smt2CUiUFRUxIIFC8Z7GJOGSjJEROS4dPceO8McDnq/XiozS1u3RzPlG7tux9n2Jf4Ufy/PL30RTnsnxYH+4DibYa4rd3LdNgAoWwJL/yfsvhO6d56CuxIRGZoCZhEROS7ZOuOhMsyxTEkGeBlmgLbuFA3PfpP0M39FtOJN3NV7G8WhIgCKA4a+TIY5mskw15X7BmaYARbfBFg49OBo35KIyLAUMIuIyHEZSYY5GzBXRhxKTRNLtl5C/a6PsyN1Hre2/hdpiigJeMfkZ5iz164td4invK4ZOaWLILIQjjx0qm5NRKQgBcwiItOU61p2N6aO+7z+Guah28qVhLxguCRoeFPx9yjr3cBdiW/xX+6vONRdmtsHmYA5r0tGSdAQCXm/no4Kyme+CRofBTd53OMWETlRCphFRKapzfuSfPnnXRwZoj3cULIlGYUyzK619MYt4UwwbIxhXeA+9rjn81jPu/mLC8IsnOEDvIVNAEJ5AXN3r6W02OSC6aNeY9abIdUNLc8e15hFRE6GAmYRkWmqs8fLEBfqkzyUZNrmgthCAXNfwmLpD4bpfIU6tvNs31sxBlbNLeJDl0W4dHWQGRXeMfkZ5u4+l9KQkwuYj6qTnvFGMA4c+f3x3KqIyElRwCwiMk1lg9Gu3pEHzLFCC4vk789b5Q+AA78A4MXkW1hQ5yMScqgr93HtRWF8mb7MJfklGb2WSF6G+ajXCFRA1TlwWHXMIjJ2FDCLiExTuYl2PSNf6Ss7Ka/IVzjDnA1ww7mA+ee0Bc+hw85m1dxAwWuGAsbLTFtLNJthDgxRkgEw603Q9hwk2kc8bhGRk6GAWURkmurJK4MYqe68tm+FMsw9+Rnm6B5of5GumncCcMa8ooLXLA4YLNCX9OqjIyFDcaako+DEwtqLwLrQvmnE4xYRORkKmEVEpqn8iXYjlQ2ua8sdejNZ4XwDAuaDvwKgfs2f87dvK2VeXeHFZYsz2eimzjRpl+FLMsBrLwdeQC4iMga0NLaIyDTVM6j38UjkLyySdpMkUhDMSxxnV+crCTpw6AEoX0FR+SJWlA99zSUzi/A5cNcfYwCUFjsE/eCYIQLmktO8iX8KmEVkjCjDLCIyTZ1oDbMBasoK90nO1TA7UWj6I8y+6pjXnFXl4+pzitnT5LW3i4QMxnhZ5p5CNcxOkRc0xxQwi8jYUMAsIjJNZYPRo7pkWBean4RU7Khzunst4ZAhku2THLe4tn8BlJ4+i8+BQOsfvMVFRhAwA1y+JsSSWd4fPUuL+9vNDbX8NpGFyjCLyJhRwCwiMk31JrxAOVuSsetIkr/+Xjs9L38bHroQfl4DT14P6b7cOdE+l9Jik6s77km4vLzfWwBlT2OKWGZZbHPot+AvhdoLRzQWxzF8+E0RrjwrxJzq7MIm3pLZPXGXx7b2DayXDi+A6O7ReBtERI5JAbOIyDTVE7cYvO4UiZRl15EUyUQfRa9+BarWwbzrYN+PvVrkDG8lPofigMMs51Xqn15F6sD9ALTv+j1XNF7IW4K3wqH7vVX5nMKdMQqpijj82Xkl+H39y2r3JCyPbIlz1+M9HGrLW5EwsgD6jkCqd1TeCxGR4ShgFhGZhlJpSyIFlRHv10B3r0tzp8sFgbsoShyENV+Bc74DReXQcH/uvO5el0jIUBIwnBu4h1DvDs7Yfy3vDN3CmXvfQdg9yKV8GXoPjbgcYyglQa8kY/O+BABt+SsShhd4X2N7T+o1RERGQl0yRESmoexkvRkVDm1Rl2ivpbWzh+tD/0Fr8FyqZ1wKxsCsy70Ms7VgDNG+TIY5aFhT9CCdJeeQiCe4KvQ19vM67vH9lLpgMzec/keY956TGmNJwKEtmiSR9H5u7c4LmCMLva/R3VC+/KReR0TkWJRhFhGZhnIBc7lXLxxvfZm3d7+NaqeBZ4Kf9YJl8LLEfUeg/UVc1xLrs14Nc2IXs33baYj8BT9yfsn/67mVWzt/RmNvGfGSZbD878BffFJjLA4a4knIVi63DQiYMxlmTfwTkTGggFlEZBrKtpSrq/Axx9nK4k3nUGN38P3Yt9gcv7j/wNlXAgYOPUAsbrFAJOQQOHIvAPsDV9EQLWej70P02TAdMZtbdORkZZfHrggbqksdWvNLMkIzwFes1nIiMiYUMIuITEM9uQyzw9rAb8Cm+Hz342xw301LV35gWgfVZ0PD/bkVAUuLDabhXhrclRxJnUZXr+XM+YHcKaMWMGeuc8a8ANWlzsAaZmMgPF+dMkRkTChgFhGZhrL9jSsjDsv9T3CEM+mws1k8009XryWRymvhNvsqaH2WRPOLAFT4WqD5CXaYK2nIdK5YPMtPJOQFuOHRDpjnF1EVcQaWZIB6MYvImDlmwGyMud0Y02SM2Zq37VZjzKvGmM3GmF8aYyry9n3WGLPTGLPdGHN53vZ1xpgtmX1fN8aMzhNVRESOW7aGucTXy3zfC2yJe/2Sl83x2sANmGC34H0QrGHuxgt4b/HfsfjFdQC8VnR1rtVbdanD3Jps/+TRycWsnlfEu84rZuVpRVSXOnTEXNJuXiAfWeCVZNiRr1QoInIiRvJUuxO4YtC2h4BV1tozgB3AZwGMMSuAa4GVmXO+ZYzxZc75NvARYEnmn8HXFBGRE9DWnebbD3YftUz1cHriXkAc7n4av0nyavJCfA651fZau/N7Hi+Et7zM/sAVXBy8E1O+DC77E9HQGSS8Bf6ojjjMrfXOHb2SDIcrzirG7zNUlTq4FjpieYF86RJIdnkt7ERETqFjBszW2seBtkHbfm+tzTwmeQaYk/n+auBua23cWrsH2AmcY4yZBZRZa5+23lJNPwTeMVo3ISIynb24J8nG3Un2NqWOfXBGb8JbtCTY9hguPl5LvY6aMofaMi/HMaCOGSBUyw9TP+BbkT2YSx+F2vMpzkzKM0BFxGFeJmDOlmaMpqpMv+gBdczV53hfW58d9dcTEck3Gn83+yDw28z39cCBvH0HM9vqM98P3i4iIidpX7MXKHfG3GMc2a8nbikOGkzTY7QUrSVOKbVlPsrDBp8zqCQDSKYth9pdZtbW5VrOZQPmshJDkc+wZkERN1wSZvHM0W/xXx3xAvkBdcyVa7yVBFsUMIvIqXVSAbMx5nNACrgru6nAYXaY7UNd9yPGmA3GmA3Nzc0nM0QRkSnHtZadh5O5n/c2eeUTHT0jD5h7E5byQAxan6etxGsjV1vm4JhMC7dBAfOh1jRpF+bV9QfD2VrlqlLvq99nuGhFEMc5BRnm0gIZZl8IKs+C1mdG/fVERPKdcMBsjHk/8Fbg+kyZBXiZ49PyDpsDHMpsn1Nge0HW2u9aa9dba9fX1tae6BBFRKakbQeS/O9fdrO9IUlf0nKkPRMwR0ceMCf6Ylzl/yLYFNEyL2CuKfN+JVSXOrTk1zDTn8XOTuyD/gxzVcTHqRYsMkRC5qhAnupzoXUDuCMvRxEROV4nFDAbY64APg283Vrbk7frXuBaY0zQGLMAb3Lfc9baw0C3MebcTHeMG4Bfn+TYRUSmpc6Yl6PYtDfBgZZU7s91I84wd77CtV3ncK79Dix4P4maNwBQl1n1r6bUd1QN877mNCVBkwuqoX9yX3VkbDqUFmwtV/M6SPdA59bCJ4mIjIKRtJX7CfA0sNQYc9AY8yHgG0Ap8JAxZpMx5jsA1tqXgXuAbcCDwMestdk0xUeB7+FNBNxFf92ziIgch1imw8XmvUn2ZcoxZlU6dMQKVLqlE4NO3gePvAm/7eMXkQfgvDuZNyNIVd6kveoyh+5eSzzZf739LSnm1vjI7wiayzCXjlHAPHjxEoCac72vLSrLEJFT55gzM6y17ymw+fvDHP9F4IsFtm8AVh3X6ERE5CjZRUeaOl2efS1ORdgwr9bPa4cHlSU03A+PvwPm/gUs/xR0vQpbboZUlO+l76MsvAaA+io///uGXDt9arL1wt0us6p8pNKWg61p3rg6NODy2Qxz1RhlmKsjDtsbBt1jeAEEa71OGUtuGpNxiMj0o5X+REQmmZ64xZd5eu9tSjOv1k952KEz5pKbUpLshudvgtAMOPhLeHAtPHUdJDvg4vvYHV9JSaDw5LzysHfxzl4vm3u4PU0qDXNrB9Yqz6/zs7Tez6JT0BWjkKpSh96EzfWQBryOHdWvU4ZZRE6psXnKiYjIqInFLVURh4Df0NCWZn6dn1CRIeVCtM9SWmzgpX+CngZ489NQcho0/MbrKFG1Dtc49CXaKR5igZHSTB/l7kzAfKTDK/uorxwYMFeEHT51ddkpvNOBKjOBfHvUHbiaYM25cOg+iLdBsGrMxiMi04cyzCIik0xP3FISNJwx31vGel6tj8pMWURnzPW6Ruz4Tzj9Y96kuJLZsOSvoOYccHz0JSyW/hrkwSLF3rWifV62urvX+1pWMr6/MsIh7/Vj8UG12nWv9742PT7GIxKR6UIBs4jIJNMTdykJGi5aHuTsxQGWzC6ivMQLfjtiadj4txCqhTMHTidp7kxzyz2d/GlbHGBgljZPOJjNMHuBaVePizGnZgW/4xHOvH7P4IC5+nXgK4bGR8ZhVCIyHagkQ0RkkumJWyojPmrLfXzkzRHAK48A8DX8ApqfgHO+C0UDyyU270tyoCXNgZZeYOgMs99nKAkaopmSjO5eSyRkTsmCJMcjO8nwqAyzLwC1FylgFpFTRhlmEZFJJha3uSxwVnnYwU+cuQ3/CBWrYeEHjzpvb1OK8hLDpauDwPDdLUqLTX+GudelrHj8f11k7znWV6Df9Mw3QufL0Ns4xqMSkelAGWYRkUnEWktPgYC5yGdYX/II4eReOPM34By9+t6ephQLZvi59qIwbzu7OFcTXEgk5BDNBKbdPZaykvHNLgOEAgZjCpRkAMx4o/e18VGYf+3YDkxEprzxTxmIiMiIJVKQdqGkQD3x6cGNpPHDjEuP2tcTd2nscJlf5+VJhguW4egMc+kEyDA7xlASMEeXZIDXAaSoDJoeHfuBiciUN/5PQBERGbFssFhSoCXcPGcjTawk7YR45WCyvyczXr9mgAV1I/vDYmlehtkryRj/DDN4E/8KZpgdP9RdDEdUxywio08Bs4jIJJJdtCM8uMOFdZnpbmRvei0Pbuzj3+/tzgXJ4JVjAMyvO7pUo5BIyBDt85bHjifHv6VcVklwiIAZYMYbILoTeg6O7aBEZMqbGE9AEREZkVjfEBnmrh0EbBfb42fx241eF4xD7f0B896mFDMqnCFbyQ0WKTakXWjs9K4xESb9gfdBoeCkP8jrx/ynsRuQiEwLE+MJKCIiI9IzVElG63MA7EmtI+2Cz4HGQQHzSMsxgFzN8qG2dObniVGSURIcooYZoOJM8EegWQGziIwuBcwiIpPIcAFz2olw2F3CpWeGqC1zctnh9qhLR8zmJvyNRHaRkkOtmQzzBCnJCA9XkuH4ofYCrfgnIqNuYjwBRURkRGK5GuajA2ZTvZ53vC7CW9cXM6PCx5EO79i9ufrlE8gwt0+wDHNm0l/+hMYBai/y+jHHW8d2YCIypSlgFhGZRHriFoPXkzgnHYeOTTg153DVumJCRYaZFT6aOtO4rmVPUwqfA3NrRjbhD/oD5GxJxsSpYTa4FvqS/ds27kpwxyNRUmkLdRd5G5ufHJ8BisiUNDGegCIiMiI9cUtx0OCYvIC5/SVwk1B9Tm7TjAqHVBpaoy57m1LUV/so8o88SxzJ9Glu6XIpDpjjOvdUyk5azE78e2xrH9/5XZSnXk3Q0Jb23gMnoLIMERlVCphFRCaRQsti05LJptacm9s0o8LLJh9pT7O3KX1cE/4AgkWGgB8sE6ccA/pLUXrilo27E9z1eA+LZnr3tq85Bb6QFzRr4p+IjCIFzCIik0hP3B494a/pcYgsgpL63KaZmYB5874kvQl73AEz9GeZJ8qEP+if7BiLW147lCToh7+7upSSoGFftu907UXQthFSsXEcqYhMJRPnKSgiIsfUE3cHZpit62VTsz2IM0qLDcUBw4adCWDkC5bki2QyyxNllT/wVvoD74NDS7dLdZkPv88wr9bnZZjBey9sClqeGceRishUooBZRGQS8TLMeS+kldwAACAASURBVI/uzle8jhCDAmZjDDMqHKJ9lqAfZlUef8Bcms0wT5AJf5BXwxx3ae12qS71fp5b6+dga5pk2kLt+WAc1TGLyKiZOE9BERE5ptjgkozmTFA4KGCG/rKMeXV+HOf4s8TZ2uXSCVSSkc2ux/osLV0uNWXe2ObV+ki7mb7RRWVQsUZ1zCIyaibOU1BERIZlraVn8KS/psehuB7CC446Pjvx73j6L+ebiCUZAT/4Ha97R2/CUpPJMM+vzZv4B157uZZnIJ0Yr6GKyBSigFlEZJJIpCDteot3AGCtFzDXvR7M0UHtjArvEX8iE/4gb9LfBCrJMMZQEjTsb/EC4+pS70NBTZlDSdCwtzlv4l+6F9peGK+hisgUMnGegiIiMqxs7+FcSUZ0N/QeKliOAbB6boDLzwqxel7RCb1ef0nGxMkwg3f/DZklu7MZZmMGT/zLLmCisgwROXkKmEVEJomeuLccdDg76a/lKe9r7YUFjw8FDNecV0Kw6MQC3oV1fmZWOCc0YfBUCocckplEcraGGWBerZ+G1jRdPS6E6qBsKTQpYBaRk6eAWURkkohlAuZchrljMzhBKFt2Sl5vTo2fL1xXkSvNmCiy9x8qYsAEyAuWBTHA3U/0eBtqL4LmJ7zWeyIiJ2FiPQVFRGRIPUcFzFugfAU4J1ajPFllJz1Wl/owebXbMyt9vGV9Mc/vTPDS3gRUnw3JDug5MF5DFZEpQgGziMgk0dnjZUrLs23eOjZDxepxHNH4yAbM+eUYWVecFWJ2lY8fP95DKny6t7Fr+1gOT0SmIAXMIiKTRFvUxedk2rz1tUDvYag4Y7yHNeayGfbshL98fp/hjauDtEVduv1LvI0KmEXkJClgFhGZJNqjLhVhx1uEpHOLt3E6ZpgzNdXVZYUnI2ZrrmPUeYuYKGAWkZOkgFlEZJJoj7pURrLlGNmAefpmmKsLZJjz98cSQOlS6FbALCInRwGziMgk0RZ1qQznBczBGgjNGN9BjYOZFT58DsypLpxhzi2fHbdQdroyzCJy0hQwi4hMAtZa2mMuVZH8CX9nFFzhb6pbMMPPf364krryIQLmzEqIPXHrZZh7DkAqNpZDFJEpRgGziMgk0N1rSaXxSjKsCx1bp2X9claRf+gPCiWZhV1ifa63eAlA986xGJaITFEKmEVExllzV5rP/7ST5s70kMe0R72WclURx1sSO90zLeuXRyJUBI7JZJizAbPKMkTkJChgFhEZI109Lrf+qoumQYHxczsSHGxNs6OhD7bdCg9fAj+rhMZHc8e05QfMR/7gbaxcM1ZDn1SMMZQETaYkQ63lROTkKWAWERkjm/cl2XEoxea9yQHbN+1NABA8+EPY9A+Q7PRW79v6r7lj2mNewFxZ4sIrt0LVeqg8a+wGP8mUBI036c9fAiWnqVOGiJwUBcwiImPk1YNeoLy/JZXb1h512duUxuCysO1rXtb4io2w/B+g8RFoexHwMsx+ByItP4foLlj5j9Nywt9IhUOGWNz7kJGKnE6s+VWsteM8KhGZrBQwi4iMAWstrzZkAubm/pKMlzLZ5ddXPkKVux2WfcoLhBf/Jfgj8Oq/AdkezAZn21egbDnMuXrsb2ISCQcdYn1egHwouRgnup3dR5LHOEtEpDD/eA9ARGQ6aOxw6eyxVIQNh9rTxJOWYJFh054kdeUOlwe/QVtPPaVz/pwigEAFLPow7Pg6dL3KZR3lVPp2Qcc+OO+HYJTvGE5J0NDY4QXMjSxjromycfMrLJp15jiPTEQmIz1xRUTGQDa7fNkZIayFhrY0vQkv6/zGWZuo7fsTD8dvork7r7fwqn+G0z8BwTr86XbaAutg7X/AvOvG6S4mj3B20h+wPf0Gb2PDA16rORGR46SAWURkDLzakKIq4rBuUQCA/c0pnt0RJ+1azu+7mXRRLY/Hb+BIe14HjWAVrPsP3Evu54vdD7Np9o9g2f8Ep/CCHdIv2yXDtZa9vfNptEtZ6fsdT29PjPfQRGQSUsAsInKKudayvSHJ0no/1aUO4aBhX3OaR7fGuaT6cYo7/oi78p+IE+Fwx9G9mLt6LGkXKkv1yB6pcMjBAn0JS0fMpTlyJUuLnuLZl5s0+U9EjpueviIip9jh9jTRPsvS+iKMMcyt9fH8zjiH25JcHbgFwvMpWnoTlWFnYIY5Y8CiJTIiJUGvg0hXj6Wrx9JRcSU+klTFHsn1tBYRGaljPn2NMbcbY5qMMVvztlUZYx4yxryW+VqZt++zxpidxpjtxpjL87avM8Zsyez7ujHqhyQi08ORdi9Am1vjlVLMq/UTT8IbwncT6d0EZ9wCvgAzKx2OFMgwb97nlRHMKFcpxkiFMwHzobY0FrA155PyV3Jm0e/oiClgFpHjM5J0xZ3AFYO2fQb4g7V2CfCHzM8YY1YA1wIrM+d8yxiTfcJ/G/gIsCTzz+BriohMSc1dXhBcU+Y9DufW+oiYVv4seDPUXgDzrwdgZqWPI+3pASUDzV1pHnyxj3OWBJhZqYB5pLIZ5oNt3ntfWRogXnM5q/wP0xlNDXeqiMhRjhkwW2sfB9oGbb4a+EHm+x8A78jbfre1Nm6t3QPsBM4xxswCyqy1T1vvN8EP884REZnSmjtdIiFDccAL4laeVsTHZ36egO2Es/9vrkXcrAoffUno7OkPmO95sgefgWvOKxmXsU9W4ZD3Xje0esFxZdjBzHkrZU4LbutzAGxvSPLpH3bwp21x1TWLyLBOtCBuhrX2MEDma11mez1wIO+4g5lt9ZnvB28XEZnyWrrS1Jb1P25LejazqPcuzPK/h4qVue3ZDPLhTB3zriNJNu1J8pb1xVSqfvm4hIPe+3WwNZNhjjiE5l1J2vqItD4AwPZDKdqiLj98LMZ3fhdV0CwiQxrtJ3ChumQ7zPbCFzHmI8aYDcaYDc3NzaM2OBEZyFrLN3/bzZZ9arV1KjV3ublyDAD2/9zLKi//uwHH1WSC6pZMCcf+Fu/reUuDYzPQKSRbktHc6RL0Q3HA4ASr2GvPpS7qBcyt3WnKSwyXrg6ycXeSjpgCZhEp7EQD5sZMmQWZr02Z7QeB0/KOmwMcymyfU2B7Qdba71pr11tr19fW1p7gEEXkWHoTlk17kry4W0sGnypp19IWdQdkmGm4F2ougGD1gGMrww7GQGu3NymtvdvF50BZieZIH6+A31Dk8zIzlRGH7DzzPUVXUJXaCrH9tGY+yCyeVQRALK7JgCJS2IkGzPcC7898/37g13nbrzXGBI0xC/Am9z2XKdvoNsacm+mOcUPeOSIyTmJ9XkbtcIFWZjI62qMuabd/wh+xfdCxGea8/ahj/T5DZdjpD5hjLhVhB0dNhU5INsucX85ypORK75tD99PS7Xp9sTP1ztn/H0REBhtJW7mfAE8DS40xB40xHwK+ArzJGPMa8KbMz1hrXwbuAbYBDwIfs9ZmfxN/FPge3kTAXcBvR/leROQ4RTMBwqFBnRkmG9e1/PSJWK4bxUTSkgl+s+UWNNznfa1/W8Hjq0qdXJ/g9qir2uWTEA55713+e2gjS2l2F2IP3kdHzKVGAbOIjID/WAdYa98zxK5Lhzj+i8AXC2zfAKw6rtGJyCkV7fMCs564pbvXTto//bd0uzy8OU4k5PCW9cWjfv1U2vKbDb28+cxQLggrxLWWVw+mWD7HnysBaO703uNcSUbDb6D0dChbWvAa1RGHnUe8zg7tMZd5tcd8TMsQchnmcP+/s4qIj02JN3NZ4x343B6qS0tyPZtVkiEiQ1HqQmQay8+oTeayjOgpLi3Z25TigRf62Lxv+Frvl/cn+epvutmYVxPe0pXG52SynMluaHx0yOwyQHWpkynjsMown6RwgZKM8rBhe+pCjBvnNN8Wqkt9uQ9BsbgyzCJSmJ7EItNYNC9gPjSJA+ZYJlN+qgLmpkyW+Fh/st/f7L3+09vjuW3NXS5VEQefY+DAL8BNwJyh29BXlzm4Fhpa0yTTA7OjcnwKZZjLSxz2pNcCsND/AtVlDkE/+J2B/z+IiOTTk1hkGov2uRgDwaLJnWHOZgYPt6dx3dEPerJt3rr7hv+TfUNmVbmt+5N097q5c3PlGLu+D6VLvNX9hlAd8SYHvnY4s+CGMswnrFCGuSLs0GVn0MEc5vs2Up3poBEOGXoUMIvIEPQkFpnGYn2WcNAwO7Mk82SVzfwm0/0t2V5tSNIzSjWpzV3edaK9wwdUB1vTzKhwSLvw3GuJ3Lk1ZT7o2gHNf4JFH4Jhul5Ul3qP5Z0KmE9aoUl/5SWZ9zexjsVFL1Dk9/5dlAQd1TCLyJD0JBaZxqJ9lnDIMLPSx6G2yRww9wc6h9rTtHWn+bdfd/PAxr5RuX4uYB4mw5xMWxo70qxfFOC0Gh/P7IjTl7BE+yy15Y6XXTY+WPD+Ia8BXpcMgJ1HvDpolWScuPOXBXn/G8JE8iZqlhUbjIE96bVUmf3Q5y0jEAkZlWSIyJD0JBaZxmJxl0jQYValj84eO2oZ2bEWjVv8mTbHh9vTbN3vBZtbjzFJb6SaO70PE8MFVIfb07gW6qt9nLc0yN6mNN94oBuA2rALe34A9W+F4pnDvlbAbygtNnTELI6B8knauWQiqIo4XLh84CqJjmMoKzbsSa3zNrQ+B0A4ZNRWTkSGpIBZZBrr7rVEig2zq7xoc7LWMcf6LJVhh/ISMyBgbmhL09p9cvfUl7R0ZUoxhguYG1q915lT5ef8pQHWLSoi2mepjlhWNn4c+hph0V+O6DWzZRkVYQfHUcA82srDDvvSZ+Di6w+Yg0YlGSIyJDX4FJnGYn2WubWGWZXZgNll0fAJ0AkpliktqQk4HGhJ09yZ5vTZfnYcSrF1f5KLl1vY+V3o3Aapblj+D1CxckTXzk74Kwkaor39AdXmvQmW1hcRLPIC2oOtafw+qKvwOmLcdHkpuEl46nrY/zNYfTPMvmpEr1ld6mNvU1rlGKdIeYnDfsL0hFYSaXkW8OqdlWEWkaHoaSwyjWVLMmpKHYzpDw4nm1jcJZwpLTnQkqYvCZedEaK61GHLviRsuRk2fAz2/RgO/BIeusDrhzwC2YVH5tf6iMUt1lpau9P85wNR/rC5v0a6oTXN7Eqf1z4OwFp4/mNesHzWbbD6X4ad7Jcvl2HWhL9ToiLzQSRRvt7LMFtv8msyDYmUgmYROZqexiLTVDxpSaS82k3HMZSXGDpiLiS7wE6uP01nM8zZTLnPgeVzilg9r4j04T9gX/4SLPwgXNMGb9kCJfXw6OXQcP8xr51dbnv+DD9pF3oTNteJ4+UD/TXSDW0p6qt9/Sdu/zrs+i9Y8VlY/nfHdT/ZgLkyonKMUyFbF+7UXQTJDjjysJbHFpFhKWAWmaaynSUixV6gUBF2SHQfhl/NhYdfD7ED4zm84xKLewFzthZ78Sw/oYDhzNkx3h+8iUTx6bD+697B4XnwpiehfDU8+W5o3zTstZu7XEqChhnl3rWjfZa2qPfe7TqSojdhifa5dMQs9ZnXp3UDvPhJb4GSM//1uO8nFzCrJOOUWFZfxOJZfsJLr4WSufDS54hkl8c+Rq9tEZme9DQWmaaimcU+IsH+CWZrYv8HUjFofwl+uwaanxrPIQ7JWsvG3Ql6ExbXtfTELZGgFzD7HVgzPwDA0uTPqHAaeari/4I/3H+BQAVc/BsIVMJjb4WehiFfq6XLpbbMoTTzwSLa5y1ZDZB2YXtDks17vUzz3NrMtJAtN0NRBZz3AzDH/5idVenDZL7K6FtaX8Sn31lGUSDk1Za3Pc+M6L2AlscWkcIUMItMU9k/PWf/FD0nuI919k5Y9GG4YiMUlcHzN03I8ozdjSm+/WCUp16N5wKccMghEnK45bpy3rjaayVWtP9HNJmVPN225uiLlMyGi++DZCf88W2QjBZ8rabONDVlvlwv32ivS1vUpThgCPrhhV0JfvFMD/PrfCyt93vZ5UP3w7JPeu/hCagr9/HF68tZNbfohM6X47DgfVC2jBn7/gUfCfViFpGCFDCLTFPZRTgimYB5XezLpPGTWPY5KFsCZ34JOrbAvnvGc5gFPbvDW0XvSEc6L2D27qO2zOe1YuvaAa3P0lh1Hfua0vQmCgRClWfCBT+FjpfgqevAHTjp0XW9euW6Mid3/WyGubrUYWl9Ec/sSNDZY3nPRWEcY2DrF7zM9dJPnNQ91pb7MCOcJCgnwfHDWbdSFHuFa4s/q9ZyIlKQAmaRKch1Ld9/OMquI0Mv3JHNpEWKHehrpr77J/wxfiOddpZ3wLx3Q/kq2PIv4KYGnJtMWb79YDf7W1KDL3vKpdKWDbu8gLmpI52rOQ0HBwWXe/8fGIfQ4utxLbx2aIj3ov4qWPs1aPgNbP/qgF3tMZe0CzXlTu6DRbTPyzBXRhxWZjLAFywLsHCG3/tw0XAvLP3bE84uyziofyupZZ/mkuCdVB353niPRkQmIAXMIlPQofY0z+xIsGFnYshjciUZQQONj2KwbEheTXssk2EzDpzxBejeAdv/g+dfi+eytLsbU2zcneSRzaOz9PTxeOVg0ltwJWRo7HRz95G//DHWhT0/ghmXMm/eXPwOvNowTHB/+sdg9lu92uO8yY6NHd57UVfuozhg8DkQ7fUyzFURh3OWBHj9iiDvel0RbL7Zm0RYcx4s+5tTcOdyKvnO/FdeTl3KiiOfhN7G8R6OiEwwCphFpqA9jV5weKRj6D8vR/tcQkXg9xlo/AOur5S96bPojOWdM+dqmPNO7KbP8Mgjf+DRzd3Q/BT7DncC8NLeBOmOV7xWdGPkudcSlAQNFy4P0hZ16ejJZJhDeRnmffdAbC8s+jABv2HRTD/bG4ZZJtsYr4uGdWHj3+Y2N2WWxK7LlEdEQob2mEu0z1IZcYgEXN4387uUPrQEtn4eFn4ALn0UikpPwZ3LqWR8fh6y/4hDEhofGe/hiMgEo4BZZAra0+QFesMtde31Ls48Ao48glv7elz8/Rlm8ALJc28nEZzHTeEbuei1FfDQBZz/2hlcGvi//KXvnfgeWAH/XQkPng2vfRvSpy7rnExZXtydYN2iALOrfFgL+zL3mivJcFNeGUnFaph7DeB1RTjQkh6+ZVhkAaz6Jzjwczj8EACNnWkCfqgIe9eOBA2B5t9TTBdVEcerV974SYgs9CYQvu528AVP2f3LqdUZOJM4ZSNe1EZEpg8FzCJTUDbD3NrtEk8WnvUf7fPKGojth+hOfLMuJeCHztig4wMVbKr/MUWml0PJBaTXf5f29EyuLflHTvO/zIvlX4CV/wRYeP5/wK8XQNsLp+S+Wrpd4ik4fZafukxf5N2NKYyB4mzAvOdHXhnJGV/ItXRbNseP5RhlGQDLPuX15d38v8Bamjpc6sp93mQ+YGXgMd5n38VnSi9nbu8v4OUvwvz3wWWPQf1bRrySn0xMJcVFHHDOV8AsIkdRwCwyxcSTloa2NLMqvf+9GzsKZ5mjfa5X95v587OZdRnlJc7ADHPGnsQq/qZzN7dFf81GcwNf6Po9Lyx6jHsqN3FX88dwV98Mlz/vlSPYFLz8pVNyb63d3r1UlTrMrPDur6EtTThovKDWTXmlEVVnQ/3bc+ctnOGnJGh4ae/QNd0A+AKw8rPQ+gwceZjGzjR15f2PybPd7xJ1Kyk3TdRvuw6KZ/UviCKTXknQsMteCNGd0HNwvIcjIhOIAmaRKWZfcwpr4bylXmnA4SEC5uxy0hz5AwRroXwllRHHWx57kKYul/Kwl9F98MU+LA41Cy9g1eJaOnss2w4kvezqjEtgwQ1ex4m+lmOONZW2/PjxWC4QPpbsCnvVpQ7hkEM4aLDWC3QAaH0OYvu8pajzsr0+x3DGvCI2702Sdo/RZ3fhjVAyB7vl87R0pXMr/BHdzbzkgzyW+CBfjj6IO+sqOP/H3iIoMiWEg4ZtiQu9H5RlFpE8CphFpphsOcbrlgQwBo60p6GvGbZ8Hg78CqwXMEb7LLX+w3DkIZjxRjAOFeHCAXNzZ5qFM/zMqnTY3+LV9dZX+ThzfoDaModvPxhl6/5M9nbhjeAmYe9dxxzrvuYUj26Ns2nPMBPy8rR2uzjGW5UQoC6TZc62fOPIQ4CBmW866tw1CwLE4padh49RluELworPYlqe5Azf/dRVZALmHd/C4vDH+AfoCZ6O84b7oe6iEY1bJodIyOG1vpXYQKUCZhEZQAGzyBSzpylFTZlDVamPmlKH8JG74b5lXsu0P70THrqA9NYvc5H5Olc1nuN1uFj8EQAqSryA2dr+LKzrWpq7vFrepbO9vsPzav34fYZQwPDpPytjRoWPbzwQZXdjCipWQdV62H3HMcd6qM0Lzpu7Rphh7napCDv4HC9AzmZ/w8Hs5MWHoWodBKuOOnflaUX4fbBpzzHKMgAWfYjeyFpuLPkYc/zbIbobdn2f5rKr6bCzqYzo0TkVhUOGZNrBrblYAbOIDKCnvsgUs6cxzYI6PwAry3ZwWfRDULYUrtwE5/wX9B7Ct/kf+fPim0mUZLbPfCMAFRGHZBp64v0Bc3bxjtpyh9Nne9ddOMOf219e4vDJt5eSdulv3bbwRm/1vJZnhx1rtotHS9fQ3SsaO9K4mQC+LbPCXlZ24l84ZCDZDS3PFMwuA4QChuX1RWzamxzwgaAgX5AXZt9N0hYzd8uVcP9KsCka6/8ewOuQIVNO9i8VvZUXe20JMz25kylLywg/1InI1KSnvsgU0tyVpi3q5gLac8ydJG0A96Jfe8tAL/4wXL2XB5c085muF7GX/QnKTs+dX1HiBQz5ZRlNnf2Ldyw/rYiZFQ5rFhQNeN1Ipp44W2PM/PdAqA7++DZoe3HI8R4rYG6PuvzzTzp5PrMAS2v3oIA5U5IRDhlo+qM34XBW4YAZYM2CIlq6XH6/qW/4FnPAgd7ZfC/+A0yq05tA+NZXcarXAijDPEVl/722Bbx/z3S8BMDDm/u4+e5OkqljfNASkSlLT32RKeS517zA8qyFRZDqZUHPT9iYfBstiYElCtsOByiuXEBpycDAtyITMHTktZbLLd5R5hAJOXzhugoWzxp4HnjBRlt3JggNVMJlj4MvBH+4xMv8FpALmLvTBbO+bVEXa2HX4RRpt3+FvaxsSUYk5Hi9k33FUHP+kO/PukUBFs3w899P9/KpH3Tw1Xu7ePilPlLpo1+7qdMlVno+5poOuPCnUFKfW02wMqxH51RUU+r993TELvc2dGwG4GBrmnhq6I4zIjL16akvMkVYa3l2R4LFs/xUl/pg/8/wpzt4PHHDgAVMkmlv4tvSev9R16goyQbM/dnX5k4Xv68/mB5KVcTpzzCDVwbypie9DhyPXQWd2wYc35e0tHa7lBYb4klvEuJg0UwWeF9zis6Yi2sZkGGeWekjEjLMrvJB48NQ9/phFw4Jhxw+864y/vnPy7hkZZD2mOWnT/bw241HL7bS2JH2Sj6c/veppswhWATz645+72Tyq8r8t9XUE4HwPOjYAvQHysMtBCQiU5sCZpFJprU7TW/i6ODyQGuaw+1pXrck4G3Y9V3cyBJ2pC7gQEv/L/rdR1Ik07Cs/ugscbb7REtem7emzjS1ZU5u8Y6hVEUc2vMC5oMtKVKhOfDG32OdAL2/ezMPPLaRnz3VQ2t32uveAaya642jUFlGtNe7z4OtaZoz+6vyAuZQkeHf3+tnbcdnvYB85puHHWPW3Fo/774wzC3vKWftwiJ+92IvXT39r59Ke8F8tuQjKxJy+M8PV7J8ztHvnUx+Ab+htNh4fykpXw0dW7DW5sqSFDCLTF8KmEUmmS//vIub7+7MtY/Lem5HAp/jlR1w8DfQ/CTO6R9lTrWfHYf627Ztb0hiDLkJfPmK/Ia5tb4BK+I1dbq5yXXDqSp1iMUt8aSlLepyyz1dfO/hGG54AY9W/xI3EeXNDecSefWz3PfUEQ61ecHHGfO8AL/QpKpshjmRwuv1DF72PCsZxTy4Fl79d1h8Eyz56DHHOdg7zy0h5cK9z/fmth1pT+Pa/pKPfEar+U1p1aWO1xe8YjV0bSfaE899QD3cPnzdu4hMXQqYRSa4voTN1dj2JSydPV4t7//5ZRebMyvXudby3GsJVp5WRKmvC56/yfuFv+RjLK33s/NwimTmGq82pJhb46MkWPh//1Vzi9h9JEVP3Gsv19yVprb82I+K3ISpqEtDawoLvLArwbcfjHL3y0u5b+ZG/Iuu58rQ1/mLlmWUvvJ3lPlaWT7HC9xbuo7uj9ydV6bxYqYd3IAOFXvv8lZle/29cM63wV98zHEONrPCx+tXBPnTtjiHM0H8k9vj+BxYOVeZ5OmmutShNep6///YFB2HvVKiIp8yzCLTmQJmkQnu5p928uCLXo1tZ6Zs4M8vKKE87PDIljgAh1rTtMdc1i4KwIt/D32NcO4d4AuwrL6IZNorxejuddndmCpYjpG1am4RroVtB1K0RV0SKagrG0GGORPItkfdXGCxflGATXuSzKz08Y6LF8C5d9B+0fNsTl7Bip7v8NnSqwin9nFl+HtcumM2vHLbgGtGe13KSwwBv5fdi4QMwaJMhtdaeO3bUHEm1L/1+N7UQd52djHBIsNPn+whkbI89WqCtQsDlJfoETndVEd8tHa7uBWrAYg3eZ0yls8porEzjXuslSJFZErSbwORCawn7tLa7dLQ6gWg2YC5vsrHytOK2N2YwnVtroRiTfL7sOt7sPxT3gIeeKUXxnilGE+8EiftwnnLAkO+5sIZfkqChq37Ezz+chwDrDjt2JnWbMDc2u1yuN2bzPehy8Jcc14xn7gqkgt0K09bz0uz7+DW6G8oNS1w31L+rOjTJAjDi39P85a7chn1aJ+ltNjhtBovC50/4Y+WZ7y2X0s+OmAZ7BNRWuzw9rOLeflAktv/EKUnbrl45dCTB2Xqqi5zSKWh278EnCJsxxaMgf/P3n3Hx1Wd+R//nDtFmqZRl2zLcu8FAzbYVNMd63PVKAAAIABJREFUEkpoIQkESCHZzWZTSLKwySbZ3ZDklyybZNmUTYU0SiiBAKGGDgaMMbh3q1m9zmhGU+49vz/uzEiyiiXLlmTpeb9evGTN3Jk5ko301aPnPGfZDBdJE5pC0pYhxGQkgVmIcSw9pq0tFZTbU9Mrgl7F3ClOonHNwRaTHdVxzst5CN/mf4Kp74fl/5l5Dm+WQXmhg23VSV7YEmPhNCfT8gee8uAwFIvKXGyuSPDC1hgnznZRknv4CnOuz0ABrWF78+GUPAdOh+KiEz0UHdILfOGKbPaap/Ja2TNQeBov+X/M982NRIJnkPvexzn4yncg3k44qgl47L5qOKQdY/fPwBmAmR8d0ufycNYuzWJKnoO39yaYkufot8dbTHzpH8qaOx2Qs4isyFby/d0/tElbhhCTkwRmIcax5tTUifSYt/aIXXkN+gzmljpxEIcN/8j1rQu41vgUFJ0OZ9wPRu+K8MJpLvbW2S0W5y7LPuzrLi130RHVRGKadScOrS/Y6VDkeO3DS9KBeSAzi5187mI/K1eeBOe/QFPRJ2kIu7kr+Xt2Js+gvObr8Jfp5HW9jj/bYMahFeZoHVTeD7M+Bi7/kNY3lPV/+EwvAOcuy5LNfZNUQeY3JfbGv9z4VoqDBlPy7NslMAsxOUlgFmIcy1SYO+0NeG0RC6cBvixFYY7BB/0/pqzll+xOnsq+Gf8La/8GTm+f50nPXC4IGJww8/DtFelRbwumOplVMvRKa37A4ECDSSSmBw3MAMtnugl47C9BhUED04J3anL4ceefebTgZXD6OMO6A3+PCnNmQsaWb4M2YeEXhry2oVhU5uL2jwY5S9oxJq302MKWkAX5J5NDDTP89XizDIJelZnuIoSYXCQwCzGONacCc9K0+3nbOy1yvAZKKVT7Ns533sGb8Sv4v8hvKDjxHwasts6b6sKfrbhwRTaGcfjKaa7P4IZzfHz0LN+w1pvvN6hJBYrDBeae0iesZTlhSp7B7q7lWHNuZpHxLMWOCsoKHHz4TC+nzndDeB/s+T+Y+ykIzB3W+oaiOOg47MxpMXF5sww8bkVzyCIaPBOAeY5XAfvfdJ1UmIWYlCQwCzHO/OHFTt5NjYtr7rHBqK3ToiNiT41AW/DGJzEdQe6JfpcpecagEx2yXYof3JDLOUuHXjk9Y1EWU/KHHnqhe7QcDC8wF6fG1p25JIuyAictYYvOsk+iMZgX/jWqYzvnNl5KYNNN8MbNdsvJ0n8b1tqEGCp7FrNFrVpGROcwNfEKYP+brm3t/xh3IcTEJoFZiHGkrtXkxa0xXtthj4trCZtkpToo2jot2iOaoM+w5w83r6d9wf8jrAtZMMiYuDSnQx3zvtx8vx2Ss12Q6xv6axXmOPjcxX4uP8VrH7EdsmhnCpsS72Na62/g6dOgdSPUPAb1z8GCL4BnyrH6MMQklw7MDR2wJ7maYGd3YO5KQFunBGYhJhsJzEIcZV2J7oNGwB7nlj6x7nDSleX0UdbNIYvZJU5A49v/30zteor87Chsug3yV5K/7AbOXJzF2YvHR89teorFlDzHsMP58pluslyKgoBB0oKDLSYvxD+O02wD73RYtxGuaID3vQvL/+NYLF8IwA7MTSGTt3bH2ZU8DVfnTojWUZr6rYls/BNi8pHALMQQWZY+7K9itdbc/ud27nslAkAoanHHoyFeeLcNXvkQVD006OM3HbCPf27ssAhF7YryrBIny51PM/vgbdzs/hAfaF4L0Ro4+Uc4HA4+ttZHWeH4GIGWCczDbOXo9RypTVcVjSY7kmfRePJTcOGr4CsHwwF5y8EYHx+vmJgKAgaxBGyuSDBlwTn2jQ0vZtqMJDALMflIYBZiiP7zzx38dUPXoNdUNZnUtVlsOhBHa83euiRaw9za2+wxaG98Erqa+n1sKGqxty7JjNREiM0VdnguybG4xvtNWo25PNZ1C/74LphxrT1CbpwpCNizmKeNIDAXZAJzElC4ys4HV87RWaAQQ7C03M2CqU5uuSzA6aedBk4/NLxI0KvwZinZ+CfEJCSBWYghiCU01c0m++uTg16XrhC3dWrq2iz21CVZ4XqchZFfQPnVkAjBu7f1+9j3KhJobR/TDJrkjp+w1v0r5jffTomxm4e6vsUjXf/KtpN3w+q7jvJHeHTkeA1uuSzA2UsOP+t5IOkqdWWjHUp82TKxQoyuqfkOvnx5jr03wHDaP5w2vIhSiim5DqkwCzEJSWAWYgiaOuxvkA3tg3+jfHd/nMIc+3+r7dUJjOqHucn7WWrVCljzB3tu8N5fQeNrfR67aX+cPJ/B8hkuPuD7CWdFbuGj3n+hsPJ7VDvOYH1kHQD+vOngGB89y/1ZMM2VOQb7SKTHekXjGo9b4XJIYBZjbMo6aN8GB/9GaZ4hgVmISUgCsxiyulaTxsMExomqod3etNccsjCt/vuYm0MmlU0ma5dkUZhjENj5da5IXEeDOYffmb8DhxuWfgN8M+CVq6CzKvPYmpYkWyoTrJjlQtX8lUtd3+Kt+OXc2r4J8/QHWF94F2AHx6Bv4v9vm27L8Et1WYwH8/4BchbBm5+mLKeTjqimc4gbeYUQE8OIvvMqpb6olNqqlNqilLpHKZWtlMpXSj2jlNqdepvX4/rblFJ7lFI7lVIXjXz5YjT98tkw96Y2s002jakKs2lBS7j/b5TvpdoxTpjp5vTiLayK38Fr8Wv5pXqKqsg0+yJXAM5+DBJhePED0FlJV8ziridrWJH1PFclPwovXU6r+0TuityJ6S3HMeNKsnKmAnZkDngmfohMt2VIYBbjgiMLTv01RKpZ0f4NQDb+CTHZHHFgVkpNA/4ZWKm1Xgo4gGuBW4HntNbzgOdS76OUWpy6fwmwDvipUurIdwaJUZU0NQebTTpjk3P+aGO71e+fe9q0P05prkFpnoMz498kZOVzb+S7LJ/tI5a0+6AByF0KZ/wZ2rfCIzNwPujna8zk0+6rcLe8DEu+xp6FjxHHmwmOuamqst+jcAzhpL7jXXeFeeJX08VxomgNzP8nCup/SZGxTwKzEJPMSL8bOQGPUsoJeIGDwGXA3an77wYuT/35MuBerXVMa70f2AOcMsLXF6Oksd0iaUE8OTkDc0OHSU6qspuuNveUNDW7apMsLXdB7dMEO/7O411fxp+TS1mBPQKtI9ojaE+9CNa9TeWMH/F81w3sKPwPWPs3uLwKTvhPppYWAVCQOjI6z59qxxjkNL+JJBOYJ0E1XRxHltwGhot12T+ltlVaMoSYTI74u6/Wugb4L6ASqAXatdZPAyVa69rUNbVAceoh04CqHk9RnbpNHAdqWuyQOFkDc2O7xbypTpyO/ivMVU0mSRPmlSRh4y3gm0lzyadYOcedCdodkd6fuy7fcu7c8zFe832Peed/HaauA6cXgNI8B9kuKM1NVZi9vSvNE126sh6QCrMYTzxTULOuZ437Htqa68d6NUKIUTSSlow87KrxLGAq4FNKXTfYQ/q5rd/0pZS6WSm1QSm1obGx8UiXKI6imhZ7nFo8McYLGQOmpWkJWxQHHRQGDLvCbCVgy+1Q+zQA+1Lj5hbXfwnat8DKn/DZSwq5Yo2XHI/9v1ko2jtoP/JWhPZOzXVn+/q0WTgdim9cE+SiEz0A5KYCZNA7OSqu+anKulSYxbiz8BZcdDG74//GeiVCiFE0kvLN+cB+rXWj1joBPAScBtQrpaYApN42pK6vBqb3eHwZdgtHH1rrX2itV2qtVxYVFY1gieJoqWmevBXmlpCFaUFRjoOioINwWwP8/QJ47+vw4iVQ+zT76hK8L/Bbsit/A0u+DtMuzjw+vUmvZ0tGLKF5fnOM0xa6mVPa/6l1RUFHZjybL0uR5zMy7R0TXWmuQZaLzMlqQowbwUXU+y/mVH5FbXN0rFcjhBglIwnMlcBqpZRXKaWA84DtwKPADalrbgAeSf35UeBapVSWUmoWMA94cwSvL0bRZG7JaOywg25x0KA4oLg2cQW6aT2s+rk9auqly/lA42qucHwZSs+HZd/q9fhAqp0i1KMlY39DEtOCk+e4h7QGpRTf/miQc5eP3/nLR5Mv2+COG/M4YaZrrJciRB+BpTcTMJrZtP7psV6KEGKUjKSH+Q3gAWAjsDn1XL8AvgdcoJTaDVyQeh+t9VbgfmAb8CTwWa21bDM+DsSTmsZ2C6cBCROsAeYQT1Tpw0qKcgxmZW1huuM9upbdAfM+Dec+jembR9x0sqX0J3D2X8HoXRV1ORQet+pVYd5Tm0QBs0uGXjF2OxWGmjwtClkuhZpEH684fnhnXERS+fA1PExdm3wbE2IyGNGOGq31N7XWC7XWS7XW16cmYDRrrc/TWs9LvW3pcf3tWus5WusFWuu/jXz5YjTUtppoYHqRHQTjk+z7Q2OHhdNh9xHP6noQUzuoC1xh35ldzJalb/Ht8PNkLfoUOPo/EjrHq3pt+ttTm2RqvgOfbGoT4vjjyEZPvZgVrif424bwWK9GCDEK5Lu1OKx0//KsYrsaGk9MrgpzY7tJUY6BAeS3PMC25Frqo/mZ+/fVJXEYUF44cLU44DEym/4sS7OvPjlg77IQYvxzzbySHKOR5v2vYOnJ9TVRiMlIArM4rJoWE6cDphWkKsyTrI+5scOiKMcBzW/hjB5gQ+JyGjq62yv21ScpK+jeoNefHE93S0ZNi0k0rpk3RQKzEMetqRdjKTcnOB4jHJ1cXxOFmIwkMIvDOthiUprrwJMKhPHkGC/oKPn5U2EefWvwXe5aa7vCHDSg4l4w3BxwX0Jjqq9Za01lk8mMosHDb47XIJT6prqnzv4EzpHALMTxyxWgI3g+J7kfo71zgnxRFEIMSAKzOKymDpPioIE7E5jHVzXlzsdDvLYjNqzHaK3ZXBFna2V80OvaOjWxJEzzd0DFH2HKOoK5edSnAnO4SxOJaUoPM/4s4DEId2mSpmZPbZJcn6IwIP/7CXE8i025igKjmkTdK2O9FCHEMSbfscWgtLYP7cgPGLiddmCOjaMe5o6IxXsVCbZWDe9ElfaIJp6E+rbBj7dN74Bf3vhFiLXAsm9QEnRQ32ahtaY+dX/6RL6BpE/7C3fZgXlOqUsmQAhxnDPKryCmvXhr/zTWSxFCHGMSmMWgwl12sCzwOzKBeTxVmKtTGxJbQoMH30M1dtiP64xpwl0DP7ahJcoa1z0EG++DZd+E/JMpyXUQiWnCXToTuEtyB68wp0/727AnTkvYYsl0mS8sxPEuJyeHjYn3U9DyIJhdY70cIcQxJIFZDKolbAfCfL9BVqrldjz1MFc12YtpHmZgbmjvvr6utZ85efF2eOZMztqSy8d9/4QuWA2LbwWgJFVNrm8zqWszcRhQcJj2ipzUkdZ/3RAl4FGsnj+0A0uEEONXlkvxjnUNLqsNah4f6+UIIY4hCcxiUOnKbUGgu4fZ0/IM1DyRuSaWsHtzx0JVkx122yLWsNaQPowEoL79kLBtJeCVq6BpPRvcX+Svxv+gznkCDPsnhnQ1ub7dor7NHjnnMAZvrwikKsyRmOa85dm4nNKOIcREUJ+9lk5VAgd+P9ZLEUIcQxKYxaDSlduePcwzKr8Mr30Y4m0AfP/hDh5cH4FYMyQ6RnV9Vc3paRXQ1jn0KnNju0W+38BhkOlDBojFLTY/8AmoexZO+T8e7vo3avNvAnde5pqCQPfj6tqsw274A3tKBkCWC9YumRzHWwsxGQS8brYZV8HBJyAZGevlCCGOEQnMYlAtYQuXA/zZCrcTvKoNX2yHHYx3/QTL0tS0mNTVN8ETy+HhMth0K3Q1HvO1JZKaulaTWSV2YB1OW0ZDu0lpnkFRjtErMG958t9Zlvw9LxtfJjHzJppCVqYFI81hKIpyDGpbTRrbTUqChw/M2S7I9SnOX54tp/sJMYEEfQbbEmfYv5lq2TDWyxFCHCPynVsMqiVskh8wUErhdipmOTbad3imws4f0hEKYVqwuvPr0FUPpefCtu/DYwth/x/s0u8xcrDFxNJwwky7H3iogVlrTUO7RXHQQUmuI7Nxb/frv+Pk8H+wSV/F71puZVdNEq3739BXkutgZ02SpHX4DX8ASilu/2gul53iGcZHKIQY74Jeg62Rk+13ml4f28UIIY4ZCcxiUC0hiwK//c/E6VDMcW5Ao2D1XXYLxnvfYpXrIU51/IHk/FvgrL/AxZshMB9evx7e+7djtrZ0O8YJM+2JE+kNiofTGdNE49oOzEEH9e0mXTvvYva+j1NlnEbhhXcBiqfftQ81Ke0vMAcdROP2DwOHVqAH4nYqGSUnxAQT9CpakwVY/nnQtH6slyOEOEYkMItB2TOYuwPjXNdbtLsWw5QLYOoHyK36ITf7PkW9OYe66V+3L8pdAhe8AlM/AHt+AdaxGatR1ZQkywlT8x0EPGrIo+UaU5v8inIMSvIMznb+nOy3b2JX8jSMc/7KtEIvxUGDbVX2uvuvMHf/r9NfoBZCTA5Bn/21IJZzql1hPoa/VRNCjB0JzEfDjh/Bqx+Gbf8P2raM9WpGbEtlnPcOxEkkNe0RTX6qwoy2mGG8TYNrlf3+mQ/yxswX+G3kf7iz8080hHtsZjMcMPsGiDVC48vHZJ3VzSZlBU4MpSgIGDSH+hkP14/0hIzioIOp3lauyv4mmxLreLX0YaaV5KOUyrR5BL0Kj7tvVTgdoj1uRcAjVWMhJqtgakNvh+9Uuy2t8wBbKuP87MkQWsKzEBOGBOaROvg32PhFqH3a3uz25Mmw51djvaoRefTNKHc/39lrQgYAHTvxqnZqHafY7zvcHLBW8kbyo9Rbc2lsPySwTr0YHF6o/PNRX6PWmupmk2kFdnAtCBg0D7Elo6HdQmFXmKd2PoJTJXm061bevyo3c82KWXabx0D9yenbS3INabMQYhJLB+YGd+rrYtN63twdZ+O+BJGYBGYhJgoJzCMRrYPXb4DcZXB5NXywForXwpufgne/NtarO2LtEU1HVLN+Vwygu8Kc6s87qFZlrm0JWxTlGPizVa/DQABweu3QXPUQWEOr/g5VKKqJxDRTUiPdCvwOWkLWkCo6jR0muT4Dl1PhqfszDXouZXNOYkp+dzieU+ok16coL+o/MAe9imyXtGMIMdkFU4cS1VmLwOmDptepSe2vCEUlMAsxUUhgHomNX4RkGE6/F5we8JTC2ieg/EOw/Y5Rn0l8NGit6YjYwfeFLXZgzpxi17yeLnKos+Zmrm8J2/OMi4JG5rjpXsqvtn9N2fRqn7te2trF5or4Ea2zPlXNTvcS5wcMEubhv0FpralrMykOGhCtQzW8QM7Ca7n+HH+v6xyG4hvXBPngqd5+n0cpxT++L8Clq2TqhRCTmTdL4XRAW9QB+avQTa9zsMX++tQRHd4JpEKI8UsC85FKhKDqYZjzSQgu7r7dcMCCfwYrBtWPjt36jlAkpklaYCh7mgRAXrrC3PgKtY5VxM3ufzatYYs8v0FxjqNvhRlSbRnZUHFfr5strXng9Sh/3xw7onXWtdqvlW6NSIf6wUbLtXVa/OzJMPvrTWaXOKHyAdAW2XOuxeXo21YR8HQf1tKfRWUuioYwg1kIMXEppQh6DbvQULgGWjdhWPYBJh0RqTALMVFIYD5SNY/Zobj8mr73Fa4GbxlU3j/66xqh9tQX+BNnd296czkURA5C+zYOus4mnrSvSZqajogmP+CgOGjQErZIHHo8tcsPZZdDxT1gdmVubuqwiMY1rUPsOz5UfbuJ04DCQHeFGQYfLffDv4bYXJngyjUeLlvlgn2/heASe6qHEEIcoVyvQXvEgqLTUTrJTKc9r14qzEJMHBKYj1Tl/fbhHUWn9b1PGXaQrn0yc3z08aI91Y5x+kI3Wa4e/cv1fwegNutc4gk7FLd2WmhItWQ40BqaO/r5BjH74xBv7VVxr2hMZp7jSNS3mRQFHRiGXQFOz4oeaFJGJGZxsMXk0lUe1p3owbH5a9C6ERbfekSvL4QQaUGfoq1TQ9FpaBTznetRikx7mxDi+CeB+UgkQvZ0jOlX2eG4P+XX2EelVj8yumsbxJ9e6uTB1yODXpP+Al+Y4+Dq07yctzzbvqPuWcgqIJS9jHhqrHK6OpzvN+yeYLpHtvVSci54y2HfbzI3VTba10Vimq7E8H9tWd9m9pqF7M2yN+E19hfYIdNTOC3fYbdibP8BzP0MzLpu2K8thBA95aQrzO48mo3FLMl+A3+2okM2/QkxYUhgPhI1f021Y1w98DUFp4BvBhz40+it6zB21CTYXp0Y9Jp0hTnoVZy9JJtT52fZg/jrnoWS83C7HJmWjPRBIXl+g+JUL2+/gdVwwOwb7dF7nVUAVDZ2H2bSNsy2DNOyj7buOaFCKcW8KS42VyQykzKefbeLXQftj7e21Q7MZa5dsP4mKDgVTv7RsF5XCCH6MyXPQSSm2VmTYFfiVMrVm+RmW4SkJUOICUMC85GoenDgdow0pexWhLqnoX376K1tEOEuTdthWiDaIxqng96HdXTshGgNlJ6P26m6A3OPCrM/267wbtgb5+VtXX1/FTn7RkDDvt+gtaayycxUpYd6pHVac8jCtPrOSF45101zyOJAg0l9m8l9r0b420a7b/pgq0mOs4O8jVfZ4+7OfAAcWf09vRBCDMsZi7IoCBj87oVOtnatxq3DzM7eKi0ZQkwgEpiHS2tofAVKzx+4HSNt3j/YEyJ2/HB01jYIS2vCXfZ8Zcsa+NeEHRGLoPeQwzjqnrXflp6P2wnxpP18rWELX5Yiy6VQSnHibDf765P87oUID60/pPXDPwumXQLbf0Bbw37CXZoVs+yNhcPtY65vs6vFpbm9P/8rZrlwGHZof3GrPX1jb10Ca8ePWVFzPV/xX4IK74HT77M3ZQohxFHgdiquOc1LQ7vF7uRqAOYY66UlQ4gJRALzcEWqoKvBbrk4nOwimPUx2P87+zFjKBrTaG3n/VDXwF/E2yNWZhB/xsHHwD8b/LPIctn3JZJ2ZTgzcg74+Hl+fnJzHrNKHDT115qx8k4AHBs+A2hOmGmfpjfcSRn1bb1HyqV5swwWl7nYsCfOqzti+LIUp/AbjI1foCjxNi6nglN+ASVrh/V6QghxOCfOdrGozEmrnoblmUGZfl0qzEJMIBKYh6v5TfvtUAIzwIIv2v3Ou3567NY0BD1D8mBtGR0RTY63xz+Lpjeg9imYdSNAZi5xPKkzh5b05DAUhQFH/1Vj3ww44XvktD/D2Vl3M7PYScCjUC0bIbxvyB9LXZuJN0vhz+47I3nlXDctYYtITPOpEzZwrec26n3ruLV9A2/OfQPmfHzIryOEEEOllOLj5/n51AU+jJIzKI69RiJpHtGmZiHE+COBebia3wTDDbnLh3Z9cCFMuxS2fQ/qngPswNrvNIljKNxj80n7IIG5PWKRmw7MWsO7t0FWESz8AnD4wAyQ5zNoDQ9wTPX8f6TKcTbXeW7BvenzXJf9Bd7fdAY8d649fWQI0hMyerWNpKTbMtbkvs7i/dfQwix+2vFzNI7MMdpCCHEs5PoMTpmXBWWXkWU2sNL1CCGpMgsxIUhgHq7mNyFvxfA2jK3+DeTMhxcvgYaXuf/VCHc+HrIDadsW2P0zaHjp2K2Z7lP7oHsSxqGSpt3nnKkw1z0L9c/D0q+DKwCA22nfFYpqIjGdOTCkpzy/fUx1z9dM60oq7mi/h+2+z8KuO1mh/8gmPgydlbBpaDOR69t6T8joyZtl8MXlT3CjugLlKeX5woc5GLLXPjVfArMQYhRMv5Iu72Iuyf5/dHTGx3o1QoijQALzcFgmtLw99HaMtKwCOPdZ8JXDqx8i0hmirs0i8don4Ill8NY/wqsftp//GAlHe7Zk9P8rwvQGlUwP85b/tNso5n46c026wlyX2niX11+FOXVbf73J7+yL05nMwrHqh3D+S/yt5DV+G/0JLPg87P4p1L8w6McRS2haO63MGLs+OitYUPlJjMJT4MLXmFI2BwCXo/tUQCGEOKaUQWjuN5ni2IOj6t6xXo0Q4iiQBDEcHTsgGYb8VcN/bHYxnPobiNayrOunzHO8hqvit3YYXfm/ED0Idc8c/TWnhLvs8Op2DlxhTm9QyfEa9rzkxpdh7s29qunpTX/pSRX9tmQMEpjX74xRmGMwd4oTis/EyFtmH16y+Nv2xsINnwUr2edxaU0d9uumR9L1selWe3rJaX8Cdx7zptobC0vzuk8FFEKIY80x4woqk8soqfo2aGnLEOJ4J4F5OIa74e9QRadB2eWcbv2Y67xfJuKcDif9N8z5lF2F3vfbo7fWQ4S67PnKRTmOAQNz96ElBlT+2b6x/Jpe16RbMupauw8tOVSeLxWYD+mVbg1bbK9Osnq+GyPVf5x+fFtXNpz4A2jfBvvuGvDjaGi3n7PfCnPj61BxLyz6MvimA/bouVyfYnqhtGMIIUZPjtfBc/Gb8cT32a13QojjmgTm4Wh5C1w5dj/ykTrhu7iIMNWxk5eybrcP0XC4YcZHofovEG89euvtIRy18Gcrgj414JSMnqf8UXk/5J0Egbm9runZkqHoDsc9Bb0KQ/WtML+xO4YGVs/vrlinH98StqDsg1C4BjZ/A5Kd/a4xvVmyKKeff7qbvgqeKbDoq5mblFJ85fIcrj7N2+/zCSHEseB0KCqMs+x3Gl4c28UIIUZMAvNwtL5rb/g73IElg0j6F/Bo1628HLuO59re333H7BvBisOBe0a+zn6EuzT+bIOg16A91cPcEbF49t0u/veJEE+9E6UjYt8e0JXQ/AbMuKbP86QDc32bSY5X4XT0bXMwDEXQa/SpML+xK87sEkev+cnplo7WTss+HfHEH0C0Frb/d78fR2OHHfx92Yf8HXQ12AfKzPssuPy97ioOOvAfer0QQhxjZnY5IaNcArMQE4CkiOEI7YKchSN6imhc80TsSzzpvpO2zh5V2LwV9qi6/Xcf9jmqm5PsqU30e/sazw7GAAAgAElEQVSBhv77f8NdmoBHkesz6IhaWFrzv0+EuO/VCHvrkjzwepQ3d8fxZSlc1ffbDyofODAnzP77l9Py/KpXhbmt06K62eTE2e5e1+Ue2u9cdDpMv9Iew9dZ1ed5G9rN/qvL6SkjJecOuCYhhBhNOV6DCnW6/fWpvzGbQojjhgTmoYq1QKwJAiNoxwAiqVFri8vszWiZgKsUzPyI3ScdPjDg4xNJzZ2Ph/n5U+E+c47/8GKEu5/vv5Uh3GXhy7IrzKYFNc0m+xtMLjvFw/c/lsuMIgeujo3c7LkB3v1XO7j6Z/V5nixX95/761/ueV/PwLytyg74i6e7el3ncigCnt7hmpPuACx458t9nreh3aKov/7lhhfB4YWClQOuSQghRlPAY7DbXAOxRnvTuBDiuCWBeahCu+y3RykwL5jmwlD0rgiXX22/TW+468ffN3fRErZoj2jq2rpDZtLUVDYmqW8zsfqpZHR2afypCjPAqztiAKyY6cLlVHxu2ZPc5l/HbF6GRf8CZz7U7+unK8xwmArzIYeXbKtKEPAoygr6ht2SXAd76pLdPwD4ZsDi2+w+6rq/Z65LmPZhKf1OyKh/wQ75hqvvfUIIMQZyvIrN0dPsd6QtQ4jjmgTmoepIBeacBSN6ms6YHXJzfYqp+Y7egdk/G/JX2kGxv8d2WTyxsSsz8WFnTXdbxsFWk4Rpt0ocOmfZsrQdmLNVZsbyG7vi5PoU0wocsPN/CG78MFb+Sjov3AkrvmOPweuHw4D0dLbDVZhjSbsFxdKabdUJFpe5MtMxejpjURYHW0x21PT4XCz6ih2ct347c1Nzh4XW/UzI6GqC9i1QsnbA9QghxGgLegyqYjOxsqdKYBbiOCeBeahCu0A5+m1TGI5oqsLszTIoK3D0qhIDdt9wywYI7+/z2EfejBKNaz5xno98v8GOHoG5Z/BuPOTY7c6YRgP+bCNTYQ53aZZMd6G2fRfe/jyUXY77gmcpKOw/KKcppTKj5QoCA49q6zmLubrJJBTVfdox0k6Z6ybgUTz7blf3jU4PTL8KGl+FZNT+uAaawdyY6l8uXjvo2oUQYjQtLHMCihbPGXZglj5mIY5bEpiHKrTLrgCP8Ff+nZnArMjxGoSiVu9e5PKr7LeHtGW8sj3G81tinLs0i2kFThZMc7KzJplpvzjQYOJI/W3WHxKYw132NX6PPb2iyNjPhVn/y6XxG+Hdr8HM6+CM++2QOgTptoxBK8w9ZjFvHaB/Oc3lVJy9JIvNFYnMgSiAvYHPikPTa0D3DOainEOCev0L4PDY1XkhhBgnZpU4yfcbbO463Z7+k27tE0IcdyQwD1XHzhH3L0N3D7M3S5HjUSRMiPUceOGfZZ8keOAPmWrE9uoEf3ixk8XTnVyVmie8cJqLcJfmYLMdMA80JJk/1YnT6A6WaelT/gLZBi7D4iv+y7ja803yOl+CBV+A1XeB4Rzyx5A+7W/wKRmp+cohi/cOJCgrcGSq2/1ZuzQbw4BfPhPmrT0xkqaG4jPtqn7984A9ISPbBQHPIW0dDS/Y/csOd98nFkKIMWIoxclz3DzXcDoA8ZpnqWgc+CRTIcT4JYF5KLQFod1HJzDH7RP33E6F32N/+kPRQ9oy5nwc2jZnThZ8aH2EgoDBpy/0Z+YeL5hmB9wdNUniSU1Ns8msYieFOQZdzbuhZWPm6cJRO3j7shU0vECeUcNj7l+hrmyAk38IxvBOwXM7FQ4Dcg4Nrj0EvQYK+MubUfbUJVmzYPAwG/QaXH+2j1BU84unO/n9i53gCtg/PNTbG/8a2i2Kgw5Uzz7o8H77c1V6wbA+BiGEGA0r57qpN2cSdZWzd9NTfOeBDjoGOG1VCDF+SWAeikgNmNERb/gDu8LsdduBLx04O6KH9LXN/Ag4fbDnF3TFNRWNJqfMc+PN6v7rKgg4KA4abNwX50BDEkvDjGInS/2bubJjLTy5Ejb/O1hmpsLsz1aw//dYzhxWn/ehI/4Y3E7I9RkYxsCB2elQ5HgVoajmklUeLjgh+7DPe/qiLL57XZD5U53UpCrnlJwDzW/R0tpGVVOy70i5ivvst/3MjBZCiLE2q9hBQcDB2+EzKTdfRmuTffVSZRbieCOBeSjSfWcjORI7JRKz8GbZQTMwUIXZlQMzPgIV97KvugmtYd6Uvv2/V8x6kxNb/4W2527kOs8tLGz/Ly6PXEbECqBnXAubvwXPnoW72d6d7Xd2QdWDGDOupjDP3+f5hiroM5iSd/iq9IUrsrl+rZdLV3l6V4UHYRiKkqDDPioboPRc0Enue/hponHN6QsPqVRX3gcFq8E/c5gfhRBCHHtKKVbPd7PDPAuf0cZM53vsqZPALMTxZuiNq5PZUZrBDHaF2ZeqFKd7cUOHVpgB5t4Me39JfM8fMdTHmF16yF9V9aOcXHElpsdFu5lHtjuCd3sbUVc5P2h7hH9Zvoy8KRfBu7dxatM68gOnkbV9DSTD9ia/EbjxHN+QrrtwxdA2ER4qz28QimoSpsZRsAZTuznLex9Xve/K3hXmjp3QuglO+tERvY4QQoyGS1Z5CM35ADwNa4Kv8FbdqrFekhBimEZUYVZK5SqlHlBK7VBKbVdKrVFK5SulnlFK7U69zetx/W1KqT1KqZ1KqYtGvvxR0rHTPkXOM3XETxWJaTypCrM/e4AKM9gn1uWfzJzm77O8sIrs1EY7tIYD98ArV0P+STiurKV+7QH2nVkPVzSy/5RtNFvlNHRYMPsGuGQv6wM/oNjYDzvuAG85FJ81oo/Bl23gyz52v5zID3SPpAslPPwt9gWWWA9R1PS73hdW3Aeo7gNfhBBiHHIYitzCqRBcwiLXSxxoSNobm4UQfdU8AeF9Y72KPkaaen4MPKm1XgicAGwHbgWe01rPA55LvY9SajFwLbAEWAf8VCk1vN1mY6VjFwTm2cdXj1AkpjMtGVkuRZYTQl39bwBJrPwVyuriRusSqHkMdv8cnloFr30Eck+Ac54Ed5BFZS6Wlrshu5CiPLtXuKHdJBS1qGpz8ab6ND9xvgOn/BLW3AVqfHfipKdvtIQtmkMWj3V9mVDOWtjwWXuDH0CiA/bfbYd/78h/kBFCiGOu5DyK46+jzAhVTebhrxdisql6CF66DN75l7FeSR9HnJyUUjnAWcCvAbTWca11G3AZcHfqsruBy1N/vgy4V2sd01rvB/YApxzp64+qSOWIDyzJPFVM48vqDt4Br0Eo0n+l4UBiCT8MP0gWIXjxEnjrHyDWAqt/Cxe+Bu68Po/J9xs4DNh1MMl3H+zgP+7vYHNlgmyPB+Z+0t5EN871HEnX3GGicRA66ffgCsJz50L9i/DS5dBZCUv/bYxXK4QQQzT9cgwrygmuJ9krfcxC9FZxP7xyDRSsglN/Ndar6WMkPcyzgUbgt0qpE4C3gc8DJVrrWgCtda1SKn103DRgfY/HV6duG/8i1fYhGiNkaU0k3t2SAXYfc78tGcDug0kqzROIXfgezthuCMwFb9mgFWKHoSjKMVi/K06WC6453UtFQ5JlM0d24Mpoyhx6ErZwpH4HkVc4Dc5/CV54Hzy31r5xze+h9LyxWaQQQgxX8dngnc5Z+j5erLuW808Y6wUJMU4c+BO8fj0UngZrn7DHyo4zIwnMTuAk4HNa6zeUUj8m1X4xgP76GfotrSqlbgZuBigvLx/BEo+CRAgS7XZQHaGuuEZreleYsw1aO/sPzHvqkkzJM/DlTQemD/l1SvPsKRP//P4A86ceP0E5Lcul8GcrWsIWhmEf8uJxK3DPgwtfh7c+Y89dnjWyzYtCCDGqlAEzr2P+tu9zf10NMPJRpUIc9/b9Dt64CYrOgrP/Cq4jn+J1LI2kmbUaqNZav5F6/wHsAF2vlJoCkHrb0OP6nqmvDDjY3xNrrX+htV6ptV5ZVFQ0giUeBZEa++1RCMzRePqUv+5P+2AV5qqmJDOKhv8zzUfO9PH1q4PHZVhOy/cbmR7mXicKZhfBmQ/CvM+M3eKEEOJIzboeA5MFyQfkABMh9t0N62+E4nNg7ePjNizDCAKz1roOqFJKpX9EPg/YBjwK3JC67QbgkdSfHwWuVUplKaVmAfOAN4/09UdNpMp+exQCc2f6WGx3d4U5x2OPUNO6d7E9FLVo69SUFQx/X2Sef2hzksezPL9Ba9iiJWRRmDO+NykKIcSQBRcR8Z3Matf9NIUkMItJbN9dsP4mu7Xy7L+C0zvWKxrUSOcwfw74o1LKDewDbsIO4fcrpT4BVAJXA2ittyql7scO1Ungs1rr8b9NOFJtvz0KgTmSDszZ3YHZ71GYll199vZo1ahOnXQ3vXByjsrODxjsOphEa83CaZPzcyCEmJji0z/CjM5beK9hB5QsHevlCDH69v4W3vgElJ4PZz0CziM7t2E0jSiJaK03ASv7uavfnVha69uB20fymqMuHZg9I9+fmAnMWb0rzGAfj+3N6r42HZiPpMI8EeT7jUwLS3ousxBCTATZs6+EHbfgrn8UlklgFpPMcRiWQY7GPrxoNWQXgyPr8NcOYNfBBG/vjXcHZnfvCjNA+JA+5urmJEGvIsc7Of+K8nr0LRcEJucPDUKIiSk7dwbV1jLy2x4b66UIMbr2/ALe+PhxF5ZBAvPhRarBM7J2jEffivLrZ8M0tNtV44EqzD1VN5lMm6TVZYCCXoFZ/pkKISaWvY6LKYqvh66Gw18sxESw83/hzU/D1Ivh7EePq7AMEpgPL1I94v7l+jaThAkvbo2hFGS7e85h7ns8dtLUHGwxmV4weXt38yQwCyEmsHr/B1BoqHl8rJcixLG3/b/h7c9B2WVw5kPgyB7rFQ2bJJHDiVSNKDB3JTRtnXb1OBLTeNwKQ/VtyQj1qDDXt5kkLSgrnLwV5lyfgVLgdoI/e+RHkgshxHiic1fQYpWhqx85/MVCHM+2fhfeuQWmXwVn/HlELa5jSQLzYJKdEG8dUWCub7PbME5f6AZ6H1oC4HLYh3L0rDBnJmRM4pYMh6EIehX5fgOlJDALISaWghwnmxIXQd3TYMbHejlCHH1aw+Z/h3f/FWZ8BE6/B4zj93wICcyDyRxaMvRT9g6VDsznL8+mJNcg4Okb/uzDS7orzFXNJk4DSnInb2AGKC90Un4EB7cIIcR4V5hjsCN5FsqMQstbY70cIY4ureG9r8Pmb8HsG2HN78A4vr+fH9+rP9aOwgzm+jYLBRTnOviniwOYZt/TwINeg4rGJNG4xlCwpSLB1HwHTsfkrqx+Zp2/3/PUhRDieJcfMNidXGO/0/AiFJ0+tgsS4mjRGt75Cuy4A+Z8Ck75uX0s/HHu+P8IjqWjEJjr2kzyAwZup6I018G0fjbyrTsxm6YOizsfD/HTJ0McbDW5ZNXxtXv0WHA51KT/oUEIMTEVBgzCuoBQ1hKof3GslyPE0aE1vP15OyzP++yECcsggXlw0ZEfWlLfZlKSO/ineflMN58438ee2iTbqpJ8bK2PFbPcR/yaQgghxjdvloHHrah1nQZNr4KVHOslCQHA23vjbNp/BH312oK3PgO77oSFX4KVd06YsAzSkjG4zirIKjjiWYFaa+rbTNYsPPyO0FPmZZHlUsQTmlXzjs8dpEIIIYauIGCw1zyd+clfQstGKDxlrJckJjnL0vzxpU7y/cbwCneWCW9+EvbdBYtvgxNuhwm2YX/iRP9jofMA+GYe8cM7opquBJQOcfPeCTPdEpaFEGKSKAgYbI6uBiBU+fwYr0YI2FOXJBTVtIatw1+cZiVh/Q12WF72rQkZlkEC8+BGGJjrWu0JGSXByT3tQgghRF+FOQa724qoM+dwYMvzdCX6bgoXYjS9s89uxeiIahLJIfx7tBLw2kfgwB/toLzsmxMyLIME5oFpDZ0VIwrM9amjsEvz5NMshBCit/OXZ3PVGg/R3LOY43id/XVdY70kMYlprdm4L4EjFVlaOweoMndW2UMRzDi8cg1U/hlO/C9Y8q+jt9gxIEluILFGMKPDCsybK+Js3NfdKF/fauFy9D7mWQghhAAozHFw0Ykepi6+CK/qoHX/q2O9JDGJVTaatIQtVs21e5db+mvLaN0Ejy+Bv0yHh0uh+i9w8v/AoltGebWjT5LcQMIH7Le+GUO6PBKz+NWzndz/aiRzW22bSXHQ0esobCGEEKKnrPL3YeLCXf/XsV6KmMQ27otjKDhnWTYALSE7MD/4eoTHNkSxwhXwwsXgDtoV5dILYM3vYcHnxnLZo0amZAyk84D91j+zz12xhKYpZFIYcJDlssPwM+92EYlpIjFNZ5eFL9ugqinJwmnH7zGQQgghRoErh4asMyiL/g3L+hGGIUUWMfre2Z9g3lQn0wvsfVctYYt4UvP0pi6UjnPqng9Q6IigLngFcpeO8WpHnwTmgaQD8yEV5lDU4vYHOmhO/eQ1p8TJlad5ePbdLvL9Bi1hi4pGk6n50NapmSFHOwshhDiMWPH7mVn1ZQ5W72Rq+cKxXo6YZBo7TGpbTc5a7MXlVAQ8ipawRVWTiaXhpqm/oSiyhZfz7+XMSRiWQVoyBtZ5ANz54MrJ3JQ0NT97Mkx7xOIjZ3q5dJWH+naT7z8cIpaAT5zvA6CyKUlFoz2EfkaxTMgQQggxuJy5lwLQuVfaMsTo21yRAGDZDPu34vl+g9awRUVjkqCqY038e+xzXMjzbevGcpljSsqfAwkfyGz4e+9AnDd2x6luNjnYYvLJ832cOt+el3z2kiz+/FqEPL/B/KkuCgIGFQ0m8SQoYHqhfIqFEEIMLq90LnV6Ad6mx4GvjPVyxCTz3oEEJbkGJalzI/L9BnVtFpX1Ea733wpWjH1lP6B6s0lXQpPtmnxtQ5LmBtJ5AIKL0FpzzysRIjHNjCIH5y7zZsIyQI7X4BPn+zPvzyhyUNmUJJ7UlOY5JuU/KiGEEMOjlKLWczHLo3eiY22orNyxXpKYJLoSmp01icxmP4D8gEFzzVYu1J9hquNdWPYdSvwL0e+FqWhIsmAS7s+Sloz+aJ05tKSh3aKpw+LyUz186dIczl6SPehDy4ucNLRb7KlLMqNI2jGEEEIMjWvGJThUkqrNj4/1UsQksqM6QdKC5TO7Q3CBz+Jz2ZcTsKp4o/ReWHIbs0rsGuu++uRYLXVMSWDuT48ZzFur7L6eJdOH9tNUOiRHYpqZxVLAF0IIMTQLl59JWBfQue/RsV6KmETeq0jgcSvmlnZnlun6TXKNev4Y/S+yZn0QAH+2QUmuIYFZ9JCZwTyTrZUJinIMiod4vHV5j55lqTALIYQYKqfLSXvuOsrjT1PZIKf+idGxsybBgmlOnI7uFtLSyGMktJstiXN7Ff9mlzjZV5dE68l3jLsE5v5EKgBIesrZWZMYcnUZ7J7mPJ+BUrLhTwghxPAULrwUn9HG5g0vjPVSxCSQSGoaO6zM7GUAtCbQ/Fd2JM8k25tDrq87Ks4ucdIR1ZnRupOJBOb+pCrM+8LTiCVhSfnwmtvnTXUyo6j7UBMhhBBiKLLK12Hiwln/BHtqE2O9HDHB1beZaA1T8noE5o7tODr3sjm5rk9r6exU28beSdiWIYG5P50HwJ3H1lovDoNh7wa9/mwfX/hA4NisTQghxMTlyoHiszjR/RS/fKaTzq7JV8kTo+dgqwkcEpir7R76gkWXs3ZpVq/rp+U7cDthf50EZgFQshYWfJHGDouCgIHHPbxKcbZb4cuWT60QQojhc0y/lGK1C3d0D3c/3znWyxETWG2riVJk5i8DUPlnyF/JRafNZWm5u9f1DkPxvpM8zJ0iY+UEQPnVsOzf6IhY5HjlUySEEGIUTbsEgKtnPMc7+xNEYlJlFkdPc8ikI2L/m6pttSjKMXA5U4XB5g3QuhFm3zjg4z+w0sPKue4B75+oJA0Ooj1iEZTALIQQYjT5Z0FwCbOTTwJQ02KO8YLERBGNa25/oINfPxsG7Apzr3aMPT8HhxdmXjdGKxy/JA0Ooj2iCXpl454QQohRNu0SfKFX8Kh2qpskME84VhJeugLe+uyovuzjG6KEoprtNUnaOi3q20xK04E53g4H7oGZHwF3cFTXdTyQwDyAeFITjWtpyRBCCDH6pl2C0klO9jxHVbME5onkodcj7H7yK1D9MOz+KdQ/Pyqv29Bu8ux7XcwtdaI1PL2pC9PqseHvwB/AjMC8z4zKeo43kgYHkO7vkZYMIYQQo67gVMgqZJXnGaqbJt9EgonKsiw6d/6OeW0/gjmfAN8M2PDPdsV5hBrbTULR/vvdW0Imv3muE6cBn77IT0muwYtb7cNxpuY5wErAzh9D/sn2f6IPSYMDaM8EZmnJEEIIMcoMB0x9P3P0M9S3RLCsyXey2oRT+zTJJ07mevc/UGGthJU/gZP+G9q3wO6fj/jpf/RYiPteifS5/e29cb55bztVTUmuW+sj12ewco6beCqjl+Y5YO+vIbQbln5jxOuYqCQwD6A9Yn9xkgqzEEKIMTHjQ2RZrSxQT9PQIZMyjjfhLotXd8T4zXNh3nr7PXjpcsyuEHdHfsx/hR9FG24o+yCUnAfv/Rt0NR3xa8USmoZ2i+p+2nf+/FqEgoCDb30oyOr59lzllXPsKRe5PoVHdcLmb0HRGZkJLaIvSYMDSLdkSA+zEEKIMVF6AUn3FE5z3ysb/44z6WkUd/29kzd3RSjafhPa4eHhwJO8Er+OLiuLaFyDUrDyfyAZgve+nnl8JGbx7oE4+3ucqFfVlOTgABNT6tvs2+vbzV6/jYgnNS0hi5PmuCkKdk/DmFbgYEqeg/ICA7b8B3TVw4rv2+sR/XIe/pLJqT1ioYCAR/7xCCGEGAOGEzX7epZtv4On62tg7qyxXpEYRFunRXPIYnaJg/te6aQ5ZPH5D/gprPwepZUb2V/+B7bsKsRhWJgWhKIabxYQXAzzP2f3EM+9mQd2LuSZTV2kc+85y7IwFPz9vRiLcg/wxRXPgCsIcz5lt+5gj4cDSJrQHLIy4bih3UQDpbm9i39KKb66ej2erV+G7VtgxkegaM1ofaqOSxKYB9Ae0QQ8CochgVkIIcTYcMy5EXZ8n0D9vcBtY7waMZh7Xu5k474E+X6DlrDFxSdlszS3Av3ad9hkXsZTNZfQ2JFk8XQn26qShKJW9wl7y74JB/4Ib3yCzU2PMKM4yAdP9bJ1XzsdO+5mkesFvpu7kQL2wqbUCx74A6z5PfhnUdfWXXmuazMzgbm+zf5teWnPk/wAWjfhf+My8JXDaX+E8g8d60/PcU/6DQYgp/wJIYQYc8FF1DtXMifyeyoakrL5bxyrbDIpL3RQmGOwqMzJJSuz4e3PoQw3+6bfwZ5au73ixFl2/3BHtMffpTsXVt+FbtvMtdZ1nF66g0X1X+Wq+nl83PdZVvlfxlu0hHujt/PW0l12UG7bDE+uhLq/U9tqZn4jnq42A5kgXdwzMMfb4eWrIKsQLnjVnrtsHBKoRR+SCAcgp/wJIYQYD8KlH2WKsZ1fPbSBr/+pnaQpoXm8icY1TR0WJ81285XLc/jSpTk4Dz4MtU/B8v/khIUzAHA7YUm5C4DwoSPgpl1M0+Jfscj1MmdXrIbdP4EpF8F5z+O88iBZ5/+FN41/4N36KTDrOli3ETyl8PyFlLf8nNnFDnI8mmDNT6HyAcDubc71KbJdqd+Wm3F47TroPABn3AfZRaP1KTruSUvGADoimil50o4hhBBibM05+Uqo/iIfmvEMP94/n9pWk+mF8u17PKlptqvHZYWpSm0yChu/BLnLYf5nma0cFAcNCgIGuT67GNerwpyyO+vDPNIZ45qT2shZchNkF2fuM4CF01zsqEmgtUYF5sCFr6NfvY6LD36V/eZWtKeG2e3PwivAkq9R33pLd9uHGYdXr4GDj9kj7YpOP5afkglHSqj90FrTHrHIlQqzEEKIseabDvknM18/AUCVTMwYd2pS0yvKClLhdOePIFIJJ//Y3rypFF+6NMDHz/Pjcig8btXvISO1rSYbzKvxnfjVXmE5bVGZi/aI5mC67cKVQ+OKB3m860vMCt/NDOslHkj8wN4QuPV21kVuYlowbrdhvHQZVD8CJ98J8//xmH0uJir5EbUfnTGNaclIOSGEEOPEtMtwbf4mha56qprLgayxXlHGI29G2FuX5EuX5oz1UsZMdbOJx63I9xsQrYet34Gyy6BkbeaagkB3n3DAowj1U2E+2GJSmusYcODA4ul2bNtelWRavv3n2jbNX7q+xomrL6IilM9Tb8/momVBXJ75nLD5q8xuXQdPhyG0F075Jcz95FH8yCcPSYT9kFP+hBBCjCtll6HQnJHzzFGtMCdNze9f6OS//tKB1kfWG725IjHpq97VzSbT8h0opey5xmaXPdd4ADkeg44BKsxT8gbegFcQsFs7Nh2IY6X+vupS1ebcOefjL10OQH27RXXR5/lZ5G4Cse0Qa4HznpOwPAISmPvRkTrlTyrMQgghxoXcZeCbxQnOv1HdZB5xuO0pltD89MkwL22LsfNgksYjOE3QtDQ1LSZdicm7EVFrTU2zabdjdFbA3l/CnE9CzvwBH9NfhTmWsDcOTs0ffGLFWYuz2FmT5J6XImitqW01CXoV3izDPuYaqG21qG+z2JR4Py1rt8D7t0LxWSP/YCexESdCpZRDKfWOUuqx1Pv5SqlnlFK7U2/zelx7m1Jqj1Jqp1LqopG+9rGSqTD7JDALIYQYB5SCssuYEn8eK9ZOa3jkR2Xf/2qELRUJLjghG4DdB5OHeURf9W0WSZPUf5MzNLeELaJxzbQCB2y5HVCw9GuDPibgMfr0MNe32YeMHC4wX7gim4tOzOaFrTG++rs23twdz8xZLvAbuBx21bm+zcRhQF7xTJmGcRQcjUT4eWB7j/dvBZ7TWs8Dnku9j1JqMXAtsARYB/xUKTUuB/+1d6ZbMiQwCyGEGCdmfgSHjrHS/TBVzSNrgejssli/K8b/b+++4+Oq7ryPf3kM/hgAABmVSURBVM4UadTdJNtyk2TLwjZgcAODwQYHMC2wlCcmBAhkk5Al2UA2S2B3SeChpJBsCEkI4YGlPHRweIAQOiammIBtsHGTuy1XyUVdGk05zx/3yh5jMWpjjUb+vl+veen63DL3/iTr/nTmd8+ZMS6dS0/KIDtgWLsj1OnjVOw+kGQfqb3MW93vRVHmFtjwMIz5DmQOj7tPbqahvtkeNK5264N88UoywJml7+ITM5g7I5Nxw/1MGZPGnEnOHz0ej2FUvo/5y5v5eF0L+bkeTcCWIN3KCI0xw4FzgQdjmi8AHnWXHwUujGl/2lobtNZuBNYB07rz/odLbaMlzQcBf7LPRERExDVgCtHco5mR9ni3a4YXlrfQEoZZx6RjjGHMUB9rd3S+hzn2PJpajtyEOdNUM2L9tWC8ML79GRmzAx6sdQYZaLV9r9MjXJDXfmpmjGH2sQGumZ3NNbOzOXpk2v513z0rm3HD/eypi+4v0ZDu624X6j3AjUDs5wqDrbU7ANyvreOiDAMqYrbb6rb1OvVBZ5Y/Y/RXmYiI9BLG4BnzLUp8S2jYtazLh7HW8u6KZkoGexnpjudcOtRHZU2U6oYo1toO9xbH9jAHj8CEORS27NiwjFtyz8C7532Ydj9kFra7X647K1/sg39bd0coyPPg83Yv9+iX5eH752Tzg3OyuXh6ZreOJQd0OWE2xpwHVFprF3d0lzba2vzfZYz5jjFmkTFmUVVVVVdPscuuPj2b2+bm9fj7ioiIxFV0ORH8DKt+bP8oCZ21eluYXdVRZh0d2N9WOtT5SHXt9hB/fqOBnz1VQ6idmmRrLRV7IvR3n/c5YkoyrIVIkOYWy99efIJvtMwm198Is+dDyTc7dIgct+Sz9cG/msYoK7eGDuop7g5jDMcWpe2vbZbu604P88nAV40xm4CngdONMY8Du4wxQwHcr5Xu9luBETH7Dwe2t3Vga+0D1top1top+fnJKVRP86l3WUREeplAPntyz2WifYY7n9nD8i0tnT7E28uayQ4Ypow+kJyNzPeS7oPnFzaxeH0Le+ujfL4pfk1zTaOlrslSWuj0Uh8RJRnBvfDmDHgmg/ALRVwQvIJw1njSzlvUqZnzctwe5jp3kIEPVgWJRJ0RMKR36nLCbK292Vo73FpbhPMw3zvW2m8ALwFXuZtdBbzoLr8EzDXGpBtjioFS4OMun7mIiMgRaNDEK8nx7GFY+D3u/Ws963d2vPZ4574IyzaFmHV0Ov6YjiGvx1AyxMfe+ijHjPKTl2lYuCYY91it5RilQ52Eua/3MDdWbyPyxkzYuxiOuoF1oaksCdxA9vkLILNzFaa5GW4Pc7Mlai0LVgYpG+ZTzXEvdjiGgfgFcIYxZi1whvtvrLUrgGeBlcBrwHXW2iN7pHMREZFO8gydA74srhzzGnlZhsf/3kAk2rFk9c2lzXi9cFpMOUarqWPSGDbAyzWzs5hWms7nm0NtTt/caov7wN8YN2E2tWtg9z+6cEW9X0vlEkJ/O5Fw3UbszFeoLrubP9Y+wJ7Rd4H30Fi2JyvdYAzUNUVZWRFiT12Umepd7tUSkjBba9+11p7nLu+x1s621pa6X/fGbHentXa0tbbMWvtqIt5bRETkiOLLgMLz8G17gbknB9i6J8Lby5rb3a2uKcrC8iDTx6a3OTHXKeMD3Do3j+yAh+llaUSisGjdl5d8bN0dYVCuh/5ZHgxRjtr4NZg/x5nlrg+xm5/B89YMwlHLL+v+SmXGrP29+qOH+Lp0TI/HOEP5bQ/z3IdN5GQYji9JTP2yHB4aaFhERCTVjLwEglVMyv6IY0b6eemTpnYnDlmwMkgowv6JSuIZMcjH8IFeFpZ/eVnGzuoIQ/t5CaQZJvtfIju4CkLVsO3lTl9Or2SjsPQWzAdz2RQ+htcKFlAROZaVFSE27Azj88LIQV0vocjN8FC+PUxjMMqVs7K6PTqGHF5KmEVERFJN4dngzcBUzOOEsjSCIac+GWBTZZgH3qg/JIFesy3EiEFehrYzk1yrE8amsbEyQlVNGFpqIBJ0RogAotayqzrCkP5evMZyfuBuan1lzoQdGx5J6KX2lIbmKPXNbglKqI7ogotgxR28F/wGrw94hcu+Ukx+rocVFSHW7wxTlO/rVpL71WnO5CN3Xt6P44rVu9zbKWEWERFJNb4sKDwHKuYxcoCTtLXWFH9UHuSTdS37Z6ADZwi4LbsjneoRnVSSRga18Pdz4fl+8EwA5g2Cf3yb2s0LCEVgSD8PbH6WQu9qlmb/BIqvhB2vQdOOxF5vAgVD9pDabGstv325jlufrqG2aj32jZNg2195qvHn7Bp7P9eeMxCPxzB+hJ/VW0Nsrgp3uRyj1aSSNGYfG9CoXClCCbOIiEgqGnUZNO9kcNObpPmgYo9TV7uh0vm6qfLA6BnVDZb6ZsvI/I4neQW+rdzSbw4D6t9xZq+beCcMnQObn6bfh7OYm3ET4+rvhYVXsMNOoNx3kZMw2yhsfDyx15pAT7/fyK1P19DQfCBpXlERYnNVhGBjDZG3zqSldiv31D/LsJOu55KTs/ZPLz1hhJ9gGMJRKOlmwiypRQmziIhIKhp2PgQK8Gx4kGEDvFTsjhCOWCqqnJ7ljTEJ8xZ3CLgRHe1htlH48HL6eXby3/XzqC69Ayb8B5z8BFy0iy0Df8Ds9P9D/vqfwLDzeNz3Co0hD+SWwaDpsP5BiHZ+qu3DzVrLii0hapssL37StL/9tU+b6ZcFtxTdSG50M7+rfZwRE+Zw6viD673Lhvlwc+du9zBLalHCLCIikoq8aVByNWx7mbH9q6jYHXGS5iik+WDjrgMlGRW7IxhgxMAOJnkbHoaqD6if8FvWhGfw6caY0TJ8mbwX+Dn3BZ/HnvgInPIXSO9PsHUc5qP+DerWwMZHE3apiVJVG2VfQ5R+WYZ3lwfZuCvMuh0hyreFuXrkExRUP8fqgbdQUDqTi6dnHLJ/ZrqH0UN8FOR5yGtjpBHpu/TdFhERSVWj/xlshEk8QWPQsniDk9hOK01n577I/tn3tlSFyc/zEEjrQL1scxV8eiMUzKTfhKsY0s/DonUt2JipuHdWR6jO/Qqm5CowhoDfHJjpb8RFMPBEWPZTCDcm/JK7Y812p9f7u2dmkx0w3DWvll++UMeUjDcZt/MGGHoWE866hW+eno3H03asvnl6Ft+bk92Tpy29gBJmERGRVJUzBgafzoiah/EQ5sPVQXIzDJNK/Fhgc5WTIDoP/HWwd3nx9RCug6l/wng8nHRUOmu2h3nq/UaibtK8szrCkH4HyjsCaYbm1oTZGDj+V9C0Hcp/l8ir7bbybSFyMgyjh/j40VdzuOjEDK6ZuIxvZ1yN6TcRZjwHJn5qVJDnZXhHe+qlz1DCLCIiksrGXoe/eTOT/S9T12QpHuyjeLCT0G2qdMb53VMX7Vj98uZnYfOTMOEWyBsHwFnHBzhzYoD5nwd56K0GGoNRqhvswQmz3xw8NXbBKVB4Hqy6u9f0MltrWbM9zNhCH8YYhg/0cfZR+5i+ay6ezEI47VXw5yT7NKWXUsIsIiKSyoZfCLllnJ91D+AkzNkBD/m5HjbuClPhDjc3Mr+dhLlxO3xyLQw8ASbcvL/ZYwyXnpzJP52QwcdrW3jgjQaAL+9hbjX+36FlH2x6MiGX2VUrK0J8sDrI7rooe+ujjC30OyuiIfjgf0GoDk59EQIFST1P6d30mYKIiEgqMx4Y9xOG/uMajva9TXHBPwFQPNjH4vUt+8dnbrckY/ltEGmC6Y+B59Btz5mcQXVjlPmfO7P/Del/IGHOSDOEIhCO2AOTeeSfAv0mwprfw+hvOaUaPaymMcr9r9fT1GIpyHP6CMsK3Wtb9lOo+gBOehL6Tejxc5PUoh5mERGRVFd0Oc2+YZybcQ9FBU4ie8G0DE47Jp2A3zC20EduvFEdQrWw6QkY9XXIHfulm33t5EyOGekn3Qf5eQeOF/A7yXAwtizDGCj7AVQvg8oF3bu+Lnr+w0ZCYcuZxwWoqo2SHTDOTIeN22H1b6H4Kii6LCnnJqlFPcwiIiKpzpuG/+gfMeazf4OmlZB+NAV5Xr52clbH9t/0FIQbYMx34r+Nx/AvZ2dT0xjFHzMtdLqbMDeHLFmxQxeP+roz4saae2HwzM5eVbeUbwvx0ZoWzp0c4MITMpk8Oo1wxOIxxqmttmE45mc9ek6SutTDLCIi0gd4S64A44ON/7dzO1oL6/7slE8MnNbu5j6vYWDOwfXQGe5wdYfUMfsyYMx3Yev/g9q1bR5v3Q6nxjiRwhHLEwsaGJjj4exJznjKJYN9Tv1y005Yd78zK2F2cULfV/ouJcwiIiJ9QSDfmbp60+MQjbS/fau9i2Hfp07vchfrjANpztemLybMAGX/CsYPq3/d5r6vLG7msfkNVDdE21zfFW8ubWbHviiXnZK5v/cbcP44WHozRFucmQtFOkgJs4iISF9RcqUz/nHl/I7vs/Y+8GZC0eVdfttATEnGITKGQMk3sRseoW7vtkNWV+wOE7Xw/qrE9DLvqYvw10VNHFfsZ2JR2sErP/8ZbHgExt/kjGEt0kFKmEVERPqKYeeDP6/jZRlNu5yH/UqugrS8Lr9t6wyCwdCXbDDux9homE9euZto9EBSXdMYpabRYgy8tzJ40LqueuZ9Z9znuTMyD16x9k+w/HZnxI5j7+j2+8iRRQmziIhIX+ENwMhLoWIe1K1vf/u19znlCWXXd+ttW3uY2yzJAMgZwwou5FTPH9nz6X37myt2OzMRzjo6nb31UVZUHJpxV9VE2OJu155lm1r4dGOI86ZkHFxnXf25M4Nh4Tkw9f6kDHEnqU0Js4iISF8y7kYncX5nNjRUfPl24San17XwvLhDyXXElz7052oMRnmw5tesCs8iv/z7TvJqLVuqnFrr86dkkJth+PuKg8syahuj/PKFWu54tpZn3m84eNi6L2gJW556v5Eh/TycMTFmqI5IM3x4OaT1hxMfaXOMaZH2KGEWERHpS3JL4bTXnVn25p/pDBfXlk2PQ7AKxv2o228ZO6zc8wsbuWteDdYeSG43VUZotHn8Ofgkn3i+A+W/g42PsmV3hEG5HnIyPEwrTWPFlhDhiLNfNGp54M16GoOWE8vSeGtZkJ8+VcMHq4JEvlC6EQw5o2Lsro3y9VOzDkyeAvDpvzs9zCc+7DwYKdIFSphFRET6mgGT4ZR5ULvaGQf5i1r2wbJbYMBUKJjV7bfzeQ1+r1OS8VF5kI27Imzdc2Ckjg27whhg5oQsHtx7B+FBp8En19G8ewUjBzmlEyVDfISjsM3d729LminfFubymVlcMzubH1+QQ06G4ZH5Ddz+bC2bq8JEopbPNrZw2zM1fLi6hTnHBxg33H/gxMp/D2v+AGU3QOHZ3b5OOXIpYRYREemLhnzFSRTX3gfbXz143Wc3Ob3L0xJXzxtIM6zeGqKm0en9/WRdy/51G3aFGdLfy9TSNKJ4WTr0Iawvi0uiVzNqgFO3XFTglEpsrHTqlReWB5kwws/JR6UDUDbMz39eksu1Z2VT3xzlrudr+clj1fzx1XoAfnxBDhdPj3nQb8vzsPiHMPwCOP7uhFyjHLmUMIuIiPRVx90FeRNg4VVQs9pp2/kWrHvASaYHTErYWwX8hi27I3gMFBd4WbSuBWst1lo27gpTMtjLyHwvORmGxTvy2V72MMO9qzihzukBH5TjITtg2FQZprYxSmVNlHHDD643NsYweXQat83NY8a4dIoH+/iXOdn878vyKBvm9izbKCy7Fd6/FAaeACc9AR4vIt2hyncREZG+yhtwSjPemgnvnA5FV8Dq30BOKRx7W0LfqnVoudJCHyeUpvPYuw1s2R0h4DfUN1tKhvjwGMPxxWksWBlk/c6TmRX+V87edS98VoAJ1fDtnH1s2DWVLZvPAwYyZmjbaUpWwMMVs74w7Xc07MwouOo3sOcjZya/qfc7sw2KdJMSZhERkb4stwxmvwNvnwarfgWjLoOp94Evq/19O6F1aLnjitKYVOLniQXwwaogwwY6vbujBzspx9dmZDK4n4dXlzTznv+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"text/plain": [
"
"
]
},
"metadata": {
"needs_background": "light"
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"output_type": "display_data"
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{
"data": {
"text/html": [
"\n",
" show code\n",
" "
],
"text/plain": [
""
]
},
"execution_count": 28,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"from statsmodels.tsa.holtwinters import Holt\n",
"\n",
"# df_house.index.freq = 'MS'\n",
"plt.figure(figsize=(12, 6))\n",
"train = df_house.iloc[:, 0]\n",
"train.index = pd.DatetimeIndex(train.index.values, freq=train.index.inferred_freq)\n",
"model = Holt(train).fit(smoothing_level=0.2, smoothing_slope=0.2, optimized=False)\n",
"pred = model.predict(start=train.index[0], end=train.index[-1] + 12*train.index.freq)\n",
"\n",
"plt.plot(train.index, train, label='Train', c='cornflowerblue')\n",
"plt.plot(pred.index, pred, label='Holt\\'s', c='orange')\n",
"plt.legend(loc='best')\n",
"plt.title('House Sales')\n",
"plt.show()\n",
"\n",
"toggle()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**Damped Trend Methods**\n",
"\n",
"The forecasts generated by Holt's linear method display a constant trend (increasing or decreasing) indefinitely into the future. Empirical evidence indicates that these methods tend to over-forecast, especially for longer forecast horizons. Motivated by this observation, Gardner \\& McKenzie introduced a parameter that \"dampens\" the trend to a flat line some time in the future. Methods that include a damped trend have proven to be very successful, and are arguably the most popular individual methods when forecasts are required automatically for many series.\n",
"\n",
"```python\n",
"Holt(train, exponential=False, damped=True).fit(...,damping_slope=)\n",
"```\n",
"\n",
"In practice, the damping factor is rarely less than 0.8 as the damping has a very strong effect for smaller values. The damping factor close to 1 will mean that a damped model is not able to be distinguished from a non-damped model. For these reasons, we usually restrict the damping factor to a minimum of 0.8 and a maximum of 0.98."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Winters' Exponential Smoothing Model\n",
"\n",
"The Holt-Winters seasonal method comprises the forecast equation and three smoothing equations: one for the level, one for the trend, and one for the seasonal component.\n",
"\n",
"We use $m$ to denote the frequency of the seasonality, i.e., the number of seasons in a year. For example, for quarterly data $m = 4$, and for monthly data $m=12$. There are two variations to this method that differ in the nature of the seasonal component. \n",
"\n",
"- The additive method is preferred when the seasonal variations are roughly constant through the series. With the additive method, the seasonal component is expressed in absolute terms in the scale of the observed series, and in the level equation the series is seasonally adjusted by subtracting the seasonal component. Within each year, the seasonal component will add up to approximately zero.\n",
"\n",
"- The multiplicative method is preferred when the seasonal variations are changing proportional to the level of the series. With the multiplicative method, the seasonal component is expressed in relative terms (percentages), and the series is seasonally adjusted by dividing through by the seasonal component. Within each year, the seasonal component will sum up to approximately $m$ (average to 1)."
]
},
{
"cell_type": "code",
"execution_count": 29,
"metadata": {
"scrolled": false
},
"outputs": [
{
"data": {
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\n",
"text/plain": [
"
"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"text/html": [
"\n",
" show code\n",
" "
],
"text/plain": [
""
]
},
"execution_count": 29,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"from statsmodels.tsa.holtwinters import ExponentialSmoothing\n",
"\n",
"plt.figure(figsize=(12, 6))\n",
"train, test = df_drink.iloc[:-8, 0], df_drink.iloc[-8:,0]\n",
"train.index = pd.DatetimeIndex(train.index.values, freq=train.index.inferred_freq)\n",
"\n",
"model = ExponentialSmoothing(train, seasonal='mul', seasonal_periods=4).fit(smoothing_level=0.2, \n",
" smoothing_slope=0.2,\n",
" smoothing_seasonal=0.4,\n",
" optimized=False)\n",
"pred = model.predict(start=train.index[0], end=test.index[-1] + 4*train.index.freq)\n",
"\n",
"plt.plot(train.index, train, label='Train', c='cornflowerblue')\n",
"plt.plot(test.index, test, label='Holdouts', c='fuchsia')\n",
"plt.plot(pred.index, pred, label='Winters\\'', c='orange')\n",
"plt.legend(loc='best')\n",
"plt.title('Drink Sales')\n",
"plt.show()\n",
"\n",
"toggle()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**Holt-Winters' damped method**\n",
"\n",
"Damping is possible with both additive and multiplicative Holt-Winters' methods. A method that often provides accurate and robust forecasts for seasonal data is the Holt-Winters method with a damped trend and multiplicative seasonality"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Stationarity"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"A time series is stationary if the values of the series is not a function of time. Therefore, A stationary time series has constant mean and variance. More importantly, the correlation of the series with its previous values (lags) is also constant. The correlation is called **Autocorrelation**.\n",
"\n",
"The mean of the series should not be a function of time. The red graph below is not stationary because the mean increases over time.\n",
"\n",
"![](https://raw.githubusercontent.com/ming-zhao/Business-Analytics/master/images/stationary1.png)\n",
"\n",
"The variance of the series should not be a function of time. This property is known as homoscedasticity. Notice in the red graph the varying spread of data over time.\n",
"\n",
"![](https://raw.githubusercontent.com/ming-zhao/Business-Analytics/master/images/stationary2.png)\n",
"\n",
"Finally, the covariance of the $i$th time and the $(i + m)$th time should not be a function of time. In the following graph, we notice the spread becomes closer as the time increases. Hence, the covariance is not constant with time for the ‘red series’.\n",
"![](https://raw.githubusercontent.com/ming-zhao/Business-Analytics/master/images/stationary3.png)\n",
"\n",
"For example, white noise is a stationary series. However, random walk is always non-stationary because of its variance depends on time."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**How to Make a Time Series Stationary?**\n",
"\n",
"It is possible to make nearly any time series stationary by applying a suitable transformation. The first step in the forecasting process is typically to do some transformation to convert a non-stationary series to stationary. The transformation includes\n",
"1. Differencing the Series (once or more)\n",
"2. Take the log of the series\n",
"3. Take the nth root of the series\n",
"4. Combination of the above\n",
"\n",
"The most common and convenient method to stationarize a series is by differencing. Let $Y_t$ be the value at time $t$, the fist difference of $Y$ is $Y_t - Y_{t-1}$, i.e., subtracting the next value by the current value. If the first difference does not make a series stationary, we can apply the second differencing, and so on."
]
},
{
"cell_type": "code",
"execution_count": 30,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Y = [1, 5, 8, 3, 15, 20]\n",
"First differencing is [ 4 3 -5 12 5], Second differencing is [-1 -8 17 -7]\n"
]
},
{
"data": {
"text/html": [
"\n",
" show code\n",
" "
],
"text/plain": [
""
]
},
"execution_count": 30,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"Y = [1, 5, 8, 3, 15, 20]\n",
"print('Y = {}\\nFirst differencing is {}, Second differencing is {}'.format(Y, np.diff(Y,1), np.diff(Y,2)))\n",
"toggle()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**Why does a Stationary Series Matter?**\n",
"\n",
"- Most statistical forecasting methods are designed to work on a stationary time series.\n",
"- Forecasting a stationary series is relatively easy and the forecasts are more reliable.\n",
"- An important reason is, autoregressive forecasting models are essentially linear regression models that utilize the lag(s) of the series itself as predictors.\n",
"\n",
"We know that linear regression works best if the predictors ($X$ variables) are not correlated against each other. So, stationarizing the series solves this problem since it removes any persistent autocorrelation, thereby making the predictors(lags of the series) in the forecasting models nearly independent."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**Test for Stationarity**\n",
"\n",
"The most commonly used is the Augmented Dickey Fuller (ADF) test, where the null hypothesis is the time series possesses a unit root and is non-stationary. So, if the P-Value in ADH test is less than the significance level (for example 5%), we reject the null hypothesis.\n",
"\n",
"The KPSS test, on the other hand, is used to test for trend stationarity. If $Y_t$ is a trend-stationary process, then \n",
"\n",
"$$Y_t = \\mu_t + e_t$$\n",
"\n",
"where:\n",
"- $\\mu_t$ is a deterministic mean trend,\n",
"- $e_t$ is a stationary stochastic process with mean zero.\n",
"\n",
"For the KPSS test, the null hypothesis and the P-Value interpretation is just the opposite of ADH test. The below code implements these two tests using `statsmodels` package in python."
]
},
{
"cell_type": "code",
"execution_count": 31,
"metadata": {
"scrolled": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Test on House Sales:\n",
"\n",
"ADF Statistic \t: -1.72092\n",
"p-value \t: 0.42037\n",
"Critial Values \t:\n",
"\t1.0% \t: -3.45375\n",
"\t5.0% \t: -2.87184\n",
"\t10.0% \t: -2.57226\n",
"\n",
"H0: The time series is non-stationary\n",
"We do not reject the null hypothesis.\n",
"\n",
"KPSS Statistic \t: 0.50769\n",
"p-value \t: 0.03993\n",
"Critial Values \t:\n",
"\t10.0%\t: 0.34700\n",
"\t5.0%\t: 0.46300\n",
"\t2.5%\t: 0.57400\n",
"\t1.0%\t: 0.73900\n",
"\n",
"H0: The time series is stationary\n",
"We reject the null hypothesis at 5% level.\n"
]
}
],
"source": [
"stationarity_test(df_house.sales, title='House Sales')"
]
},
{
"cell_type": "code",
"execution_count": 32,
"metadata": {
"scrolled": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Test on Drink Sales:\n",
"\n",
"ADF Statistic \t: -0.83875\n",
"p-value \t: 0.80747\n",
"Critial Values \t:\n",
"\t1.0% \t: -3.55527\n",
"\t5.0% \t: -2.91573\n",
"\t10.0% \t: -2.59567\n",
"\n",
"H0: The time series is non-stationary\n",
"We do not reject the null hypothesis.\n",
"\n",
"KPSS Statistic \t: 0.62519\n",
"p-value \t: 0.02035\n",
"Critial Values \t:\n",
"\t10.0%\t: 0.34700\n",
"\t5.0%\t: 0.46300\n",
"\t2.5%\t: 0.57400\n",
"\t1.0%\t: 0.73900\n",
"\n",
"H0: The time series is stationary\n",
"We reject the null hypothesis at 5% level.\n"
]
}
],
"source": [
"stationarity_test(df_drink.sales, title='Drink Sales')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Forecastability"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**Estimate the Forecastability**\n",
"\n",
"The more regular and repeatable patterns a time series has, the easier it is to forecast. \n",
"\n",
"The **Approximate Entropy** can be used to quantify the regularity and unpredictability of fluctuations in a time series. The higher the approximate entropy, the more difficult it is to forecast it.\n",
"\n",
"A better alternate is the **Sample Entropy**. Sample Entropy is similar to approximate entropy but is more consistent in estimating the complexity even for smaller time series. For example, a random time series with fewer data points can have a lower approximate entropy than a more regular time series, whereas, a longer random time series will have a higher approximate entropy."
]
},
{
"cell_type": "code",
"execution_count": 33,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"House data\t: 0.53\n",
"Drink data\t: 0.55\n",
"small size random integer\t: 0.21\n",
"large size random integer\t: 0.70\n"
]
},
{
"data": {
"text/html": [
"\n",
" show code\n",
" "
],
"text/plain": [
""
]
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"execution_count": 33,
"metadata": {},
"output_type": "execute_result"
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],
"source": [
"# https://en.wikipedia.org/wiki/Approximate_entropy\n",
"rand_small = np.random.randint(0, 100, size=50)\n",
"rand_big = np.random.randint(0, 100, size=150)\n",
"\n",
"def ApproxEntropy(U, m, r):\n",
" \"\"\"Compute Aproximate entropy\"\"\"\n",
" def _maxdist(x_i, x_j):\n",
" return max([abs(ua - va) for ua, va in zip(x_i, x_j)])\n",
"\n",
" def _phi(m):\n",
" x = [[U[j] for j in range(i, i + m - 1 + 1)] for i in range(N - m + 1)]\n",
" C = [len([1 for x_j in x if _maxdist(x_i, x_j) <= r]) / (N - m + 1.0) for x_i in x]\n",
" return (N - m + 1.0)**(-1) * sum(np.log(C))\n",
"\n",
" N = len(U)\n",
" return abs(_phi(m+1) - _phi(m))\n",
"\n",
"print(\"House data\\t: {:.2f}\".format(ApproxEntropy(df_house.sales, m=2, r=0.2*np.std(df_house.sales))))\n",
"print(\"Drink data\\t: {:.2f}\".format(ApproxEntropy(df_drink.sales, m=2, r=0.2*np.std(df_drink.sales))))\n",
"print(\"small size random integer\\t: {:.2f}\".format(ApproxEntropy(rand_small, m=2, r=0.2*np.std(rand_small))))\n",
"print(\"large size random integer\\t: {:.2f}\".format(ApproxEntropy(rand_big, m=2, r=0.2*np.std(rand_big))))\n",
"\n",
"toggle()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The random data should be more difficult to forecast. However, small size data can have small approximate entropy."
]
},
{
"cell_type": "code",
"execution_count": 34,
"metadata": {
"scrolled": true
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"House sales data\t: 0.44\n",
"Drink sales data\t: 1.03\n",
"small size random integer\t: 2.30\n",
"large size random integer\t: 2.41\n"
]
},
{
"data": {
"text/html": [
"\n",
" show code\n",
" "
],
"text/plain": [
""
]
},
"execution_count": 34,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# https://en.wikipedia.org/wiki/Sample_entropy\n",
"def SampleEntropy(U, m, r):\n",
" \"\"\"Compute Sample entropy\"\"\"\n",
" def _maxdist(x_i, x_j):\n",
" return max([abs(ua - va) for ua, va in zip(x_i, x_j)])\n",
"\n",
" def _phi(m):\n",
" x = [[U[j] for j in range(i, i + m - 1 + 1)] for i in range(N - m + 1)]\n",
" C = [len([1 for j in range(len(x)) if i != j and _maxdist(x[i], x[j]) <= r]) for i in range(len(x))]\n",
" return sum(C)\n",
"\n",
" N = len(U)\n",
" return -np.log(_phi(m+1) / _phi(m))\n",
"\n",
"print(\"House sales data\\t: {:.2f}\".format(SampleEntropy(df_house.sales, m=2, r=0.2*np.std(df_house.sales))))\n",
"print(\"Drink sales data\\t: {:.2f}\".format(SampleEntropy(df_drink.sales, m=2, r=0.2*np.std(df_drink.sales))))\n",
"print(\"small size random integer\\t: {:.2f}\".format(SampleEntropy(rand_small, m=2, r=0.2*np.std(rand_small))))\n",
"print(\"large size random integer\\t: {:.2f}\".format(SampleEntropy(rand_big, m=2, r=0.2*np.std(rand_big))))\n",
"\n",
"toggle()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Sample Entropy handles the problem nicely and shows that random data is difficult to forecast."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**Granger Causality Test**\n",
"\n",
"Granger causality test is used to determine if one time series will be useful to forecast another. The idea is that if $X$ causes $Y$, then the forecast of $Y$ based on previous values of $Y$ **AND** the previous values of $X$ should outperform the forecast of $Y$ based on previous values of $Y$ alone.\n",
"\n",
"Therefore, Granger causality should not be used to test if a lag of $Y$ causes $Y$. Instead, it is generally used on exogenous (not $Y$ lag) variables only.\n",
"\n",
"The null hypothesis is: the series in the second column does not Granger cause the series in the first. If the P-Values are less than a significance level (for example 5%) then you reject the null hypothesis and conclude that the said lag of $X$ is indeed useful. The second argument maxlag says till how many lags of $Y$ should be included in the test."
]
},
{
"cell_type": "code",
"execution_count": 35,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"\n",
"Granger Causality\n",
"number of lags (no zero) 1\n",
"ssr based F test: F=0.1690 , p=0.6813 , df_denom=290, df_num=1\n",
"ssr based chi2 test: chi2=0.1708 , p=0.6794 , df=1\n",
"likelihood ratio test: chi2=0.1707 , p=0.6795 , df=1\n",
"parameter F test: F=0.1690 , p=0.6813 , df_denom=290, df_num=1\n",
"\n",
"Granger Causality\n",
"number of lags (no zero) 2\n",
"ssr based F test: F=0.6936 , p=0.5006 , df_denom=287, df_num=2\n",
"ssr based chi2 test: chi2=1.4115 , p=0.4938 , df=2\n",
"likelihood ratio test: chi2=1.4081 , p=0.4946 , df=2\n",
"parameter F test: F=0.6936 , p=0.5006 , df_denom=287, df_num=2\n"
]
},
{
"data": {
"text/html": [
"\n",
" show code\n",
" "
],
"text/plain": [
""
]
},
"execution_count": 35,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# https://en.wikipedia.org/wiki/Granger_causality\n",
"from statsmodels.tsa.stattools import grangercausalitytests\n",
"\n",
"df_house['m'] = df_house.index.month\n",
"# The values are in the first column and the predictor (X) is in the second column.\n",
"_ = grangercausalitytests(df_house[['sales', 'm']], maxlag=2)\n",
"toggle()"
]
},
{
"cell_type": "code",
"execution_count": 36,
"metadata": {
"scrolled": true
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"\n",
"Granger Causality\n",
"number of lags (no zero) 1\n",
"ssr based F test: F=74.3208 , p=0.0000 , df_denom=60, df_num=1\n",
"ssr based chi2 test: chi2=78.0368 , p=0.0000 , df=1\n",
"likelihood ratio test: chi2=50.7708 , p=0.0000 , df=1\n",
"parameter F test: F=74.3208 , p=0.0000 , df_denom=60, df_num=1\n",
"\n",
"Granger Causality\n",
"number of lags (no zero) 2\n",
"ssr based F test: F=108.5323, p=0.0000 , df_denom=57, df_num=2\n",
"ssr based chi2 test: chi2=236.1053, p=0.0000 , df=2\n",
"likelihood ratio test: chi2=97.3594 , p=0.0000 , df=2\n",
"parameter F test: F=108.5323, p=0.0000 , df_denom=57, df_num=2\n"
]
},
{
"data": {
"text/html": [
"\n",
" show code\n",
" "
],
"text/plain": [
""
]
},
"execution_count": 36,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"df_drink['q'] = df_drink.index.quarter\n",
"_ = grangercausalitytests(df_drink[['sales', 'q']], maxlag=2)\n",
"toggle()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"For the drink sales data, the P-Values are 0 for all tests. So the quarter indeed can be used to forecast drink sales."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Components of Time Series"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Depending on the nature of the trend and seasonality, we have\n",
"\n",
"- Additive Model:\n",
"$$\n",
"\\text{Data = Seasonal effect + Trend-Cyclical + Residual}\n",
"$$\n",
"\n",
"- Multiplicative Model:\n",
"$$\n",
"\\text{Data = Seasonal effect $\\times$ Trend-Cyclical $\\times$ Residual}\n",
"$$\n",
"\n",
"Note a multiplicative model is additive after a logrithmic transform because\n",
"\n",
"$$\\log(\\text{Data}) = \\log(\\text{Seasonal effect}) + \\log(\\text{Trend-Cyclical}) + \\log(\\text{Residual})$$\n",
"\n",
"Besides trend, seasonality and error, another aspect to consider is the cyclic behaviour. It happens when the rise and fall pattern in the series does not happen in fixed calendar-based intervals. Care should be taken to not confuse ‘cyclic’ effect with ‘seasonal’ effect."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Cyclic vs Seasonal Pattern"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"A **seasonal** pattern exists when a series is influenced by seasonal factors (e.g., the quarter of the year, the month, or day of the week). Seasonality is always of a fixed and known period. \n",
"\n",
"A seasonal behavior is very strictly regular, meaning there is a precise amount of time between the peaks and troughs of the data. For instance temperature would have a seasonal behavior. The coldest day of the year and the warmest day of the year may move (because of factors other than time than influence the data) but you will never see drift over time where eventually winter comes in June in the northern hemisphere.\n",
"\n",
"A **cyclic** pattern exists when data exhibit rises and falls that are not of fixed period. \n",
"\n",
"Cyclical behavior on the other hand can drift over time because the time between periods isn't precise. For example, the stock market tends to cycle between periods of high and low values, but there is no set amount of time between those fluctuations.\n",
"\n",
"Some examples about cyclic vs seasonal pattern:"
]
},
{
"cell_type": "code",
"execution_count": 37,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
" show answer\n",
" "
],
"text/plain": [
""
]
},
"execution_count": 37,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"hide_answer()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Series can show both cyclical and seasonal behavior. \n",
"\n",
"Considering the home prices, there is a cyclical effect due to the market, but there is also a seasonal effect because most people would rather move in the summer when their kids are between grades of school. \n",
" \n",
"You can also have multiple seasonal (or cyclical) effects. \n",
"\n",
"For example, people tend to try and make positive behavioral changes on the \"1st\" of something, so you see spikes in gym attendance of course on the 1st of the year, but also the first of each month and each week, so gym attendance has yearly, monthly, and weekly seasonality. \n",
" \n",
"When you are looking for a second seasonal pattern or a cyclical pattern in seasonal data, it can help to take a moving average at the higher seasonal frequency to remove those seasonal effects. For instance, if you take a moving average of the housing data with a window size of 12 you will see the cyclical pattern more clearly. This only works though to remove a higher frequency pattern from a lower frequency one.\n",
"\n",
"Seasonal behavior does not have to happen only on sub-year time units. \n",
"\n",
"For example, the sun goes through what are called \"solar cycles\" which are periods of time where it puts out more or less heat. This behavior shows a seasonality of almost exactly 11 years, so a yearly time series of the heat put out by the sun would have a seasonality of 11.\n",
"\n",
"In many cases the difference in seasonal vs cyclical behavior can be known or measured with reasonable accuracy by looking at the regularity of the peaks in your data and looking for a drift the timing peaks from the mean distance between them. \n",
"\n",
"A series with strong seasonality will show clear peaks in the partial auto-correlation function as well as the auto-correlation function, whereas a cyclical series will only have the strong peaks in the auto-correlation function. \n",
"\n",
"However if you don't have enough data to determine this or if the data is very noisy making the measurements difficult, the best way to determine if a behavior is cyclical or seasonal can be thinking about the cause of the fluctuation in the data. \n",
"\n",
"If the cause is dependent directly on time then the data are likely seasonal (ex. it takes ~365.25 days for the earth to travel around the sun, the position of the earth around the sun effects temperature, therefore temperature shows a yearly seasonal pattern). \n",
"\n",
"If on the other hand, the cause is based on previous values of the series rather than directly on time, the series is likely cyclical (ex. when the value of stocks go up, it gives confidence in the market, so more people invest making prices go up, and vice versa, therefore stocks show a cyclical pattern).\n",
"\n",
"The class of exponential smoothing allows for seasonality but not cyclicity. The class of ARMA models can handle both seasonality and cyclic behavior, but long-period cyclicity is not handled very well in the ARMA framework.\n",
"\n",
" $\\blacksquare$ "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Decompose a Time Series"
]
},
{
"cell_type": "code",
"execution_count": 38,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Multiplicative Model\t: Observed 401.000 = (Seasonal 479.897 * Trend 0.996 * Resid 0.839)\n",
"Additive Model\t\t: Observed 401.000 = (Seasonal 479.897 + Trend -5.321 + Resid -73.576)\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"
"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"decomp(df_drink.sales)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Detrend a Time Series"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"There are multiple approaches to remove the trend component from a time series:\n",
"\n",
"1. Subtract the line of best fit from the time series. The line of best fit may be obtained from a linear regression model with the time steps as the predictor. For more complex trends, we can also add quadratic terms $x^2$ in the model.\n",
"2. Subtract the trend component obtained from time series decomposition we saw earlier.\n",
"3. Subtract the mean\n",
"\n",
"We implement the first two methods. It is clear that the line of best fit is not enough to detrend the data."
]
},
{
"cell_type": "code",
"execution_count": 40,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"
"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"detrend(df_drink['sales'])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Deseasonalize a Time Series"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"There are multiple approaches to deseasonalize a time series:\n",
"1. Take a moving average with length as the seasonal window. This will smoothen in series in the process.\n",
"2. Seasonal difference the series (subtract the value of previous season from the current value)\n",
"3. Divide the series by the seasonal index obtained from STL decomposition\n",
"\n",
"If dividing by the seasonal index does not work well, try taking a log of the series and then do the deseasonalizing. You can later restore to the original scale by taking an exponential."
]
},
{
"cell_type": "code",
"execution_count": 42,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"
"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"deseasonalize(df_drink.sales, model='multiplicative', title='Drink Sales')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Test for Seasonality"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The common way is to plot the series and check for repeatable patterns in fixed time intervals. However, if you want a more definitive inspection of the seasonality, use the Autocorrelation Function (ACF) plot. Strong patterns in real word datasets is hardly noticed and can get distorted by any noise, so you need a careful eye to capture these patterns.\n",
"\n",
"Alternately, if you want a statistical test, the Canova-Hansen test for seasonal differences can determine if seasonal differencing is required to stationarize the series."
]
},
{
"cell_type": "code",
"execution_count": 44,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"
"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plot_autocorr(df_drink.sales,'Drink Sales')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Missing Values in a Time Series"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"When the time series have missing dates or times, the data was not captured or available for those periods. We may need to fill up those periods with a reasonable value. It is typically not a good idea to replace missing values with the mean of the series, especially if the series is not stationary.\n",
"\n",
"Depending on the nature of the series, there are a few approaches are available:\n",
"\n",
"- Forward Fill\n",
"- Backward Fill\n",
"- Linear Interpolation\n",
"- Quadratic interpolation\n",
"- Mean of nearest neighbors\n",
"- Mean of seasonal couterparts\n",
"\n",
"In the demonstration, we manually introduce missing values to the time series and impute it with above approaches. Since the original non-missing values are known, we can measure the imputation performance by calculating the mean squared error (MSE) of the imputed against the actual values.\n",
"\n",
"More interesting approaches can be considered:\n",
"\n",
"- If explanatory variables are available, we can use a prediction model such as the random forest or k-Nearest Neighbors to predict missing values.\n",
"- If past observations are enough, we can forecast the missing values.\n",
"- If future observations are enough, we can backcast the missing values\n",
"- We can also forecast the counterparts from previous cycles."
]
},
{
"cell_type": "code",
"execution_count": 46,
"metadata": {
"scrolled": false
},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"
"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"text/html": [
"\n",
" show code\n",
" "
],
"text/plain": [
""
]
},
"execution_count": 46,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"from scipy.interpolate import interp1d\n",
"from sklearn.metrics import mean_squared_error\n",
"\n",
"dataurl = 'https://raw.githubusercontent.com/ming-zhao/Business-Analytics/master/data/time_series/'\n",
"\n",
"# for easy demonstration, we only consider 100 observations\n",
"df_orig = pd.read_csv(dataurl+'house_sales.csv', parse_dates=['date'], index_col='date').head(100)\n",
"\n",
"df_missing = pd.read_csv(dataurl+'house_sales_missing.csv', parse_dates=['date'], index_col='date')\n",
"\n",
"fig, axes = plt.subplots(7, 1, sharex=True, figsize=(12, 15))\n",
"plt.rcParams.update({'xtick.bottom' : False})\n",
"\n",
"## 1. Actual -------------------------------\n",
"df_orig.plot(y=\"sales\", title='Actual', ax=axes[0], label='Actual', color='red', style=\".-\")\n",
"df_missing.plot(y=\"sales\", title='Actual', ax=axes[0], label='Actual', color='green', style=\".-\")\n",
"axes[0].legend([\"Missing Data\", \"Available Data\"])\n",
"\n",
"## 2. Forward Fill --------------------------\n",
"df_ffill = df_missing.ffill()\n",
"error = np.round(mean_squared_error(df_orig['sales'], df_ffill['sales']), 2)\n",
"df_ffill['sales'].plot(title='Forward Fill (MSE: ' + str(error) +\")\", \n",
" ax=axes[1], label='Forward Fill', style=\".-\")\n",
"## 3. Backward Fill -------------------------\n",
"df_bfill = df_missing.bfill()\n",
"error = np.round(mean_squared_error(df_orig['sales'], df_bfill['sales']), 2)\n",
"df_bfill['sales'].plot(title=\"Backward Fill (MSE: \" + str(error) +\")\", \n",
" ax=axes[2], label='Back Fill', color='firebrick', style=\".-\")\n",
"\n",
"## 4. Linear Interpolation ------------------\n",
"df_missing['rownum'] = np.arange(df_missing.shape[0])\n",
"df_nona = df_missing.dropna(subset = ['sales'])\n",
"f = interp1d(df_nona['rownum'], df_nona['sales'])\n",
"df_missing['linear_fill'] = f(df_missing['rownum'])\n",
"error = np.round(mean_squared_error(df_orig['sales'], df_missing['linear_fill']), 2)\n",
"df_missing['linear_fill'].plot(title=\"Linear Fill (MSE: \" + str(error) +\")\", \n",
" ax=axes[3], label='Cubic Fill', color='brown', style=\".-\")\n",
"\n",
"## 5. Cubic Interpolation --------------------\n",
"f2 = interp1d(df_nona['rownum'], df_nona['sales'], kind='cubic')\n",
"df_missing['cubic_fill'] = f2(df_missing['rownum'])\n",
"error = np.round(mean_squared_error(df_orig['sales'], df_missing['cubic_fill']), 2)\n",
"df_missing['cubic_fill'].plot(title=\"Cubic Fill (MSE: \" + str(error) +\")\", \n",
" ax=axes[4], label='Cubic Fill', color='red', style=\".-\")\n",
"\n",
"# Interpolation References:\n",
"# https://docs.scipy.org/doc/scipy/reference/tutorial/interpolate.html\n",
"# https://docs.scipy.org/doc/scipy/reference/interpolate.html\n",
"\n",
"## 6. Mean of 'n' Nearest Past Neighbors ------\n",
"def knn_mean(ts, n):\n",
" out = np.copy(ts)\n",
" for i, val in enumerate(ts):\n",
" if np.isnan(val):\n",
" n_by_2 = np.ceil(n/2)\n",
" lower = np.max([0, int(i-n_by_2)])\n",
" upper = np.min([len(ts)+1, int(i+n_by_2)])\n",
" ts_near = np.concatenate([ts[lower:i], ts[i:upper]])\n",
" out[i] = np.nanmean(ts_near)\n",
" return out\n",
"\n",
"df_missing['knn_mean'] = knn_mean(df_missing['sales'].values, 8)\n",
"error = np.round(mean_squared_error(df_orig['sales'], df_missing['knn_mean']), 2)\n",
"df_missing['knn_mean'].plot(title=\"KNN Mean (MSE: \" + str(error) +\")\", \n",
" ax=axes[5], label='KNN Mean', color='tomato', alpha=0.5, style=\".-\")\n",
"\n",
"# 7. Seasonal Mean ----------------------------\n",
"def seasonal_mean(ts, n, lr=0.7):\n",
" \"\"\"\n",
" Compute the mean of corresponding seasonal periods\n",
" ts: 1D array-like of the time series\n",
" n: Seasonal window length of the time series\n",
" \"\"\"\n",
" out = np.copy(ts)\n",
" for i, val in enumerate(ts):\n",
" if np.isnan(val):\n",
" ts_seas = ts[i-1::-n] # previous seasons only\n",
" out[i] = out[i-1]\n",
" if ~ts_seas.isnull().all():\n",
" if np.isnan(np.nanmean(ts_seas)):\n",
" ts_seas = np.concatenate([ts[i-1::-n], ts[i::n]]) # previous and forward\n",
" out[i] = np.nanmean(ts_seas) * lr\n",
" return out\n",
"\n",
"df_missing['seasonal_mean'] = seasonal_mean(df_missing['sales'], n=6, lr=1.25)\n",
"error = np.round(mean_squared_error(df_orig['sales'], df_missing['seasonal_mean']), 2)\n",
"df_missing['seasonal_mean'].plot(title=\"Seasonal Mean (MSE: {:.2f})\".format(error), \n",
" ax=axes[6], label='Seasonal Mean', color='blue', alpha=0.5, style=\".-\")\n",
"plt.show()\n",
"toggle()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Autocorrelation and Partial Autocorrelation"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We can calculate the correlation for time series observations with observations in previous time steps, called lags. Because the correlation of the time series observations is calculated with values of the same series at previous times, this is called a serial correlation, or an **autocorrelation**. If a series is significantly autocorrelated, then the previous values of the series (lags) may be helpful in predicting the current value."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"A **partial autocorrelation** is a summary of the relationship between an observation in a time series with observations at prior time steps with the relationships of intervening observations removed (i.e., excluding the correlation contributions from the intermediate lags). The partial autocorrelation at lag $k$ is the correlation that results after removing the effect of any correlations due to the terms at shorter lags.\n",
"\n",
"The partial autocorrelation of lag (k) of a series is the coefficient of that lag in the autoregression equation of Y. The autoregressive equation of Y is nothing but the linear regression of Y with its own lags as predictors. For example, let $Y_t$ be the current value, then the partial autocorrelation of lag 3 ($Y_{t-3}$) is the coefficient $\\alpha_3$ in the following equation:\n",
"\n",
"$$Y_t = \\alpha_0 + \\alpha_1 Y_{t-1} + \\alpha_2 Y_{t-2} + \\alpha_3 Y_{t-3}$$"
]
},
{
"cell_type": "code",
"execution_count": 47,
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
"
"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plot_acf_pacf(df_drink.sales, 50, 30)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"A Lag plot is a scatter plot of a time series against a lag of itself. It is normally used to check for autocorrelation. If there is any pattern existing in the series (such as house sales with lag 1 and drink sales with lag 4), the series is autocorrelated. If there is no pattern, the series is likely to be random white noise.\n",
"\n",
"As shown in the figures, points get wide and scattered with increasing lag which indicates lesser correlation."
]
},
{
"cell_type": "code",
"execution_count": 49,
"metadata": {
"scrolled": false
},
"outputs": [
{
"data": {
"application/vnd.jupyter.widget-view+json": {
"model_id": "2bb19e14d07d42c485728f27008d6ef6",
"version_major": 2,
"version_minor": 0
},
"text/plain": [
"interactive(children=(IntSlider(value=1, description='House Lag:', max=43, min=1, step=3), IntSlider(value=1, …"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"application/vnd.jupyter.widget-view+json": {
"model_id": "94a591170ade4dfc91929ccc80e0ebc6",
"version_major": 2,
"version_minor": 0
},
"text/plain": [
"interactive(children=(IntSlider(value=1, description='White Noise Lag:', max=43, min=1, step=3, style=SliderSt…"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"interact(house_drink_lag, \n",
" house_lag=widgets.IntSlider(min=1,max=43,step=3,value=1,description='House Lag:'),\n",
" drink_lag=widgets.IntSlider(min=1,max=43,step=3,value=1,description='Drink Lag:'));\n",
" \n",
"interact(noise_rndwalk_lag, \n",
" noise_lag=widgets.IntSlider(min=1,max=43,step=3,value=1,description='White Noise Lag:',\n",
" style = {'description_width': 'initial'}),\n",
" rndwalk_lag=widgets.IntSlider(min=1,max=43,step=3,value=1,description='Random Walk Lag:',\n",
" style = {'description_width': 'initial'}));"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## ARIMA Models"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"ARIMA is an acronym that stands for **AutoRegressive Integrated Moving Average**. It is a forecasting algorithm based on the idea that the information in the past values of the time series (i.e. its own lags and the lagged forecast errors) can alone be used to predict the future values.\n",
"\n",
"Any **non-seasonal** time series that exhibits patterns and is not a random white noise can be modeled with ARIMA models.\n",
"\n",
"The acronym ARIMA is descriptive, capturing the key aspects of the model itself. Briefly, they are:\n",
"\n",
"- AR: Autoregression. A model that uses the dependent relationship between an observation and some number of lagged observations. An autoregressive model of order $p$ (AR(p)) can be written as\n",
"\n",
"$$Y_{t} = c + \\phi_{1}Y_{t-1} + \\phi_{2}Y_{t-2} + \\dots + \\phi_{p}Y_{t-p} + e_{t},$$\n",
"\n",
"- I: Integrated. The use of differencing of raw observations (e.g. subtracting an observation from an observation at the previous time step) in order to make the time series stationary.\n",
"\n",
"- MA: Moving Average. A model that uses the dependency between an observation and a residual error from a moving average model applied to lagged observations. An moving average model of order $q$ (MA(q)) can be written as\n",
"\n",
"$$Y_{t} = c + e_t + \\theta_{1}e_{t-1} + \\theta_{2}e_{t-2} + \\dots + \\theta_{q}e_{t-q}.$$\n",
"\n",
"Each of these components are explicitly specified in the model as a parameter. A standard notation is used of ARIMA(p,d,q) where the parameters are substituted with integer values to quickly indicate the specific ARIMA model being used. The parameters of the ARIMA model are defined as follows:\n",
"\n",
"- $d$ is the number of differencing required to make the time series stationary\n",
"- $p$ is the number of lag observations included in the model, i.e., the order of the AR term\n",
"- $q$ is The size of the moving average window, i.e., the order of the MA term\n",
"\n",
"The ARIMA(p,d,q) model can be written as\n",
"\n",
"\\begin{equation}\n",
"Y^\\prime_{t} = c + \\phi_{1}Y^\\prime_{t-1} + \\cdots + \\phi_{p}Y^\\prime_{t-p} + \\theta_{1}e_{t-1} + \\cdots + \\theta_{q}e_{t-q} + e_{t},\n",
"\\end{equation}\n",
"\n",
"where $Y^\\prime_{t}$ is the differenced series (it may have been differenced more than once). The ARIMA$(p,d,q)$ model in words:\n",
"\n",
" \n",
"
\n",
"predicted $Y_t$ = Constant + Linear combination Lags of $Y$ (upto $p$ lags) + Linear Combination of Lagged forecast errors (upto $q$ lags)\n",
"
\n",
"\n",
"The objective, therefore, is to identify the values of p, d and q. A value of 0 can be used for a parameter, which indicates to not use that element of the model. This way, the ARIMA model can be configured to perform the function of an ARMA model, and even a simple AR, I, or MA model.\n",
"\n",
"**How to make a series stationary?**\n",
"\n",
"The most common approach is to difference it. That is, subtract the previous value from the current value. Sometimes, depending on the complexity of the series, more than one differencing may be needed.\n",
"\n",
"The value of $d$, therefore, is the **minimum** number of differencing needed to make the series stationary. And if the time series is already stationary, then $d = 0$.\n",
"\n",
"**Why make the time series stationary?**\n",
"\n",
"Because, term \"Auto Regressive\" in ARIMA means it is a linear regression model that uses its own lags as predictors. Linear regression models work best when the predictors are not correlated and are independent of each other. So we take differences to remove trend and seasonal structures that negatively affect the regression model."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Identify the Order of Differencing"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The right order of differencing is the minimum differencing required to get a near-stationary series which roams around a defined mean and the ACF plot reaches to zero fairly quick. If the autocorrelations are positive for many number of lags (10 or more), then the series needs further differencing. On the other hand, if the lag 1 autocorrelation itself is too negative, then the series is probably over-differenced. If we can't really decide between different orders of differencing, then go with the order that gives the least standard deviation in the differenced series."
]
},
{
"cell_type": "code",
"execution_count": 50,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Standard deviation original series: 279.720\n",
"Standard deviation 1st differencing: 48.344\n",
"Standard deviation 2st differencing: 57.802\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"
"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"differencing(df_drink, 'sales', title='Drink Sales')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Recall that ADF test shows that the house sales data is not stationary. On looking at the autocorrelation plot for the first differencing the lag goes into the negative zone, which indicates that the series might have been over differenced. We tentatively fix the order of differencing as $d=1$ even though the series is a bit overdifferenced."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Identify the Order of the MA and AR Terms"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"- If the ACF of the differenced series displays a sharp cutoff and/or the lag-1 autocorrelation is negative - i.e., if the series appears slightly \"overdifferenced\" - then consider adding an MA term to the model. The lag at which the ACF cuts off is the indicated number of MA terms. \n",
"\n",
"- If the PACF of the differenced series displays a sharp cutoff and/or the lag-1 autocorrelation is positive - i.e., if the series appears slightly \"underdifferenced\" - then consider adding an AR term to the model. The lag at which the PACF cuts off is the indicated number of AR terms.\n"
]
},
{
"cell_type": "code",
"execution_count": 52,
"metadata": {
"scrolled": false
},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"
"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"text/html": [
"\n",
" show code\n",
" "
],
"text/plain": [
""
]
},
"execution_count": 52,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"from statsmodels.graphics.tsaplots import plot_acf, plot_pacf\n",
"plt.rcParams.update({'figure.figsize':(9,3), 'figure.dpi':120})\n",
"\n",
"fig, axes = plt.subplots(1, 2)\n",
"plot_acf(df_house.sales.diff().dropna(), lags=30, ax=axes[0])\n",
"plot_pacf(df_house.sales.diff().dropna(), lags=30, ax=axes[1])\n",
"plt.show()\n",
"toggle()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The single negative spike at lag 1 in the ACF is an MA(1) signature, according to rule above. Thus, if we were to use 1 nonseasonal differences, we would also want to include an MA(1) term, yielding an ARIMA(0,1,1) model. \n",
"\n",
"In most cases, the best model turns out a model that uses either only AR terms or only MA terms, although in some cases a \"mixed\" model with both AR and MA terms may provide the best fit to the data. However, care must be exercised when fitting mixed models. It is possible for an AR term and an MA term to cancel each other's effects, even though both may appear significant in the model (as judged by the t-statistics of their coefficients)."
]
},
{
"cell_type": "code",
"execution_count": 53,
"metadata": {},
"outputs": [
{
"data": {
"application/vnd.jupyter.widget-view+json": {
"model_id": "16a8ca0c8e2d4347a9607fab9b012b90",
"version_major": 2,
"version_minor": 0
},
"text/plain": [
"interactive(children=(BoundedIntText(value=0, description='p:'), BoundedIntText(value=1, description='d:', max…"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/html": [
"
"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"widgets.interact_manual.opts['manual_name'] = 'Run ARIMA'\n",
"interact_manual(arima_,\n",
" p=widgets.BoundedIntText(value=0, min=0, step=1, description='p:', disabled=False),\n",
" d=widgets.BoundedIntText(value=1, min=0, max=2, step=1, description='d:', disabled=False),\n",
" q=widgets.BoundedIntText(value=1, min=0, step=1, description='q:', disabled=False));\n",
"\n",
"arima_(0, 1, 1)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The table in the middle is the coefficients table where the values under `coef` are the weights of the respective terms. Ideally, we expect to have the P-Value in `P>|z|` column is less than 0.05 for the respective `coef` to be significant.\n",
"\n",
"The setting `dynamic=False` in `plot_predict` uses the in-sample lagged values for prediction. The model gets trained up until the previous value to make the next prediction. This setting can make the fitted forecast and actuals look artificially good. Hence, we seem to have a decent ARIMA model. But is that the best? Can't say that at this point because we haven't actually forecasted into the future and compared the forecast with the actual performance. The real validation you need now is the Out-of-Sample cross-validation."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Identify the Optimal ARIMA Model"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We create the training and testing datasets by splitting the time series into two contiguous parts in approximately 75:25 ratio or a reasonable proportion based on time frequency of series."
]
},
{
"cell_type": "code",
"execution_count": 54,
"metadata": {
"scrolled": false
},
"outputs": [
{
"data": {
"application/vnd.jupyter.widget-view+json": {
"model_id": "d428bf7f0b554a9da3e7b8f46d6317db",
"version_major": 2,
"version_minor": 0
},
"text/plain": [
"interactive(children=(BoundedIntText(value=0, description='p:'), BoundedIntText(value=1, description='d:', max…"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/html": [
"
"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"from statsmodels.tsa.arima_model import ARIMA\n",
"\n",
"arima_house = pm.auto_arima(df_house.sales, \n",
" start_p=0, start_q=0,\n",
" test='adf', # use adftest to find optimal 'd'\n",
" max_p=4, max_q=4, # maximum p and q\n",
" m=12, # 12 for monthly data\n",
" d=None, # let model determine 'd' differencing\n",
" seasonal=False, # No Seasonality\n",
" #start_P=0, # order of the auto-regressive portion of the seasonal model\n",
" #D=0, # order of the seasonal differencing\n",
" #start_Q=0, # order of the moving-average portion of the seasonal model\n",
" trace=True,\n",
" error_action='ignore', \n",
" suppress_warnings=True, \n",
" stepwise=True)\n",
"\n",
"display(arima_house.summary())\n",
"_ = arima_house.plot_diagnostics(figsize=(10,7));\n",
"toggle()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We can review the residual plots. \n",
"\n",
"- Standardized resitual: The residual errors seem to fluctuate around a mean of zero and have a uniform variance.\n",
"\n",
"- Histogram plus estimated density: The density plot suggests normal distribution with mean zero.\n",
"\n",
"- Normal Q-Q: All the dots should fall perfectly in line with the red line. Any significant deviations would imply the distribution is skewed.\n",
"\n",
"- Correlogram: The Correlogram (ACF plot) shows the residual errors are not autocorrelated. Any autocorrelation would imply that there is some pattern in the residual errors which are not explained in the model."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**ARIMA forecast**"
]
},
{
"cell_type": "code",
"execution_count": 56,
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
"
"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"text/html": [
"\n",
" show code\n",
" "
],
"text/plain": [
""
]
},
"execution_count": 56,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Forecast\n",
"n_periods = 24\n",
"fc, conf = arima_house.predict(n_periods=n_periods, return_conf_int=True)\n",
"index_of_fc = pd.period_range(df_house.index[-1], freq='M', periods=n_periods+1)[1:].astype('datetime64[ns]') \n",
"\n",
"# make series for plotting purpose\n",
"fc_series = pd.Series(fc, index=index_of_fc)\n",
"lower_series = pd.Series(conf[:, 0], index=index_of_fc)\n",
"upper_series = pd.Series(conf[:, 1], index=index_of_fc)\n",
"\n",
"# Plot\n",
"plt.plot(df_house.sales)\n",
"plt.plot(fc_series, color='darkgreen')\n",
"plt.fill_between(lower_series.index, \n",
" lower_series, \n",
" upper_series, \n",
" color='k', alpha=.15)\n",
"\n",
"plt.title(\"Final Forecast of House Sales\")\n",
"plt.show()\n",
"\n",
"toggle()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**ARIMA vs Exponential Smoothing Models**\n",
"\n",
"While linear exponential smoothing models are all special cases of ARIMA models, the non-linear exponential smoothing models have no equivalent ARIMA counterparts. On the other hand, there are also many ARIMA models that have no exponential smoothing counterparts. In particular, all exponential smoothing models are non-stationary, while some ARIMA models are stationary."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Seasonal ARIMA (SARIMA) Models"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The ARIMA model does not support seasonality. If the time series data has defined seasonality, then we need to perform seasonal differencing and SARIMA models.\n",
"\n",
"Seasonal differencing is similar to regular differencing, but, instead of subtracting consecutive terms, we subtract the value from previous season.\n",
"\n",
"The model is represented as SARIMA$(p,d,q)x(P,D,Q)$, where\n",
"- $D$ is the order of seasonal differencing\n",
"- $P$ is the order of seasonal autoregression (SAR)\n",
"- $Q$ is the order of seasonal moving average (SMA)\n",
"- $x$ is the frequency of the time series."
]
},
{
"cell_type": "code",
"execution_count": 57,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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dg4wx4SLyOTDGNiO0GGsmoy3wCtbs0beZ7UXkN6y1MluBU1gpa89jFT84aGv2PdZC/nki8jFWWtZzXJ7G9ydW5brvROQjW7unsNLDisNORDL3OXIGamNtFDsA2Gd7LEn/B/QANojIJKyUQResgPEu4MkcG9PmZiJwH7BGRCZgzUjZ2cZ+B/CpMWZzIcc1GquK3WYR+QCrylw1rFm0EdnXMBXR/4BRwDci8rqt/178EwhnFLN/pZS6pmmApJRS166RWDM/j2OtLXLACngmA+8YY1KytV2J9UZ+ONbsUjRWoPN2ZuEBY0yEiPTBSr2bj7XmZjxQBRib2ZExJlRE7sMqGb4AK2XrW1vb4mzEWgGrHDdYwd4pYCfWzNTcHM+n2IwxJ2wV3t4AxmCltV3AKg2+FMh3VskYEy8it2IFpU8AdWxjP4I1gxdZhHHtFJF2wJtYa8c8sP69VmAFpsViG3NXrODuI6wZwT+wyqgvBs4V9x5KKXUtk0u3Z1BKKaXUjUhEXsUKemsXYOZMKaWuWzqDpJRSSt1gRORZ27ehWJvLdsVKp/xGgyOl1I1OAySllFLqxpOAtQ4pAGu91xHgQ6wZJKWUuqFpip1SSimllFJK2diV9QCUUkoppZRSqrzQAEkppZRSSimlbDRAUkoppZRSSimb67ZIg21X9xpYe1oopZRSSimlbmwewHGTTxGG6zZAwgqOtFSpUkoppZRSKpMfcOxKDa7nAOkCQFRUFJ6enmU9FqWUUkoppVQZOX/+PLVq1YICZJddzwESAJ6enhogKaWUUkoppQpEizQopZRSSimllI0GSEoppZRSSillU+gASURqisg3IhIrIgkiskNEWmc7LyIyTkSOi0iiiKwSkSY5+nAWkc9E5LSIxIvIryLil6NNRRGZIyJxtq85IuJd9KeqlFJKKaWUUldWqDVIIlIRWA+sBHoBMUA94Fy2Zi8Bo4FHgQPA68CfItLQGJO5KGoicA/wIBALfAosEpHWxph0W5tvsapM9LT9/BUwx3ZdiUlPTyc1NbUku1TqqnBycsLOTieBlVJKKVV0F5JSWbonmg51fahVybWsh1MuSD5lwC9tLPIB0MkYc2se5wU4Dkw0xnxoO+YMnAReNsZ8KSJewClgsDHme1ubGkAUcJcxZpmINAL2Ah2MMZttbToAG4EgY8z+AozVE4iLi4vLtUiDMYbo6GjOnTt3+cVKXQPs7OyoU6cOTk5OZT0UpZRSSl2jXl+4m282HUEEujasyuCO/tzWoAp2dlLWQytR58+fx8vLC8DLGHP+Sm0LW8XuXmCZiPwI3I5VQ3yKMWaa7XwdwBf4I/MCY0yyiKwGbga+BFoDjjnaHBeRPbY2y4COQFxmcGRrs0lE4mxtLguQbIGYc7ZDHld6IpnBUdWqVXF1dcWK7ZS6NmRkZHD8+HFOnDhB7dq19fdXKaWUUoWWkWFYuuckAMbA8tAYlofGEODjyiMd/HmgTS28KjiW8SivvsIGSHWBp4DxwHtAO2CSiCQbY77GCo7AmjHK7iTgb/veF0gxxpzNpY1vtjYxudw/JlubnP4DjC3Ik0hPT88Kjnx8fApyiVLlTpUqVTh+/DhpaWk4Ot54f7yUUkopVTzbo85x+mIyHs4OzH/qZuYFH2H+1qNExibwzu/7+PSPA/RtWYPBHQJoXOPG2TansAsY7IBtxphXjTHbjTFfAtOwgqbscubtSS7HcsrZJrf2V+rnfcAr25dfHu2y1hy5umqepbp2ZabWpaen59NSKaWUUupyf+615jQ6B1Wloa8HY+9pwqZXu/Fuv6YE+XqQmJrOd1uiuGvSWh6YuoHfdh4nJS2jjEdd+go7g3QCa21QdvuA+2zfR9sefW1tM1Xln1mlaMBJRCrmmEWqCmzI1qZaLvevwuWzU4CVygckZ/5ckJQjTUtS1zL9/VVKKaVUcfy513rr3qPxP2+73ZwdGNTen4fb1WZLxBm+3nSYZXuiCY48S3DkWap4ODPmzoYMaFOrrIZd6gobIK0HGuY4Fggctn0fgRXc9AC2A4iIE9Z6pZdtbUKAVFubH2xtqgNNsSrggVWMwUtE2hljttjatMeaGcoMolQRREZGUqdOHbZv385NN91UoGtmz57N888/X6IFLYoyjpIUEBDA888/z/PPP3/V762UUkqp69OeY3EMnrGZhJR0XBztcXG0o4KjPS6O9jg72lPB0c467mBPBSfr/G0NqtCrWfWrPtbwUxcJPxWPo73QuWGVy86LCO3r+tC+rg8nzyfx7eYjfLvlCKcuJPPS/F0cjo3nxTsaXpcf2BY2xW4C0EFEXhWR+iLyMPAEMBnAWCXxJgKvikg/EWkKzAYSsMp2Y4yJA2YAn4pINxFpCXwD7Ab+srXZBywFpolIB1sFu2nAooJUsLveRUVF8fjjj1OjRg2cnJzw9/dn5MiRxMbG5nttrVq1OHHiBE2bNi3w/QYOHMiBAweKM+QiOXToEA899BA1atTAxcUFPz8/+vTpUyJjCQ4O5oknniiBUSqllFJKWWaui+BsQirJaRnEJaZy8nwykbEJhEZfYGfUOTYdOsOq/adY+nc0P28/xndbonjm223sjLr6VZUz0+s61PXB0+XKa5mrebowqkcg61/uynPdGgAweWU4L/y487pMuSvUDJIxJlhE+mGt9/k/rBmj540xc7M1+wioAEwBKgKbgTuy7YEEMApIw5pBqgAsBx7NtgcSwCBgEv9Uu/sVeLYw470eHTp0iI4dOxIYGMh3331HnTp1+PvvvxkzZgxLlixh06ZNVKpUKddrU1JScHJywtc3rzoXuatQoQIVKlQoieEXWEpKCj169CAoKIgFCxZQvXp1jh49yuLFi4mLiytWv05OTlSpcvknJUoppZRSRXUhKZXFe6wVJtOHtCGgshtJqem2rwwSs77/59iqAzGsD4vlpfm7+PXfnXB2sL9q480MkLKn1+XHycGO0T0C8fOuwH9+3s2Cbcc4dSGZKYNa4ZFPkHVNMcZcl1+AJ2Di4uJMTomJiWbv3r0mMTHxsnPlXc+ePY2fn59JSEi45PiJEyeMq6urefLJJ7OO+fv7m7ffftsMHTrUeHp6miFDhpiIiAgDmO3bt2e1++WXX0z9+vWNi4uL6dy5s5k9e7YBzNmzZ40xxsyaNct4eXlltR87dqxp0aKF+frrr42/v7/x9PQ0AwcONOfPn89qs2TJEtOpUyfj5eVlKlWqZO6++24TFhaWdT63cWS3fft2A5jIyMgrvh5Hjx41AwYMMN7e3qZSpUrm3nvvNREREVnnhw4davr06WPee+89U716dePv75/12kyYMCGr3blz58y//vUvU6VKFePh4WG6dOliduzYkXV+x44dpnPnzsbd3d14eHiYVq1ameDg4CuOrbRdy7/HSiml1PXm+y1HjP/Li0yXT1aajIyMAl0TezHZtHrrD+P/8iLz6bLQUh7hP2LOJ5mAVxYZ/5cXmWNnE/K/IBcrQk+aRm8sMf4vLzK9Jq4x0XHl+/1IXFycwSr25mnyiSMKm2J33TLGkJCSViZfpoCb9Z45c4Zly5bx9NNPXzaj4+vry6BBg/j+++8v6e/jjz+madOmhISE8MYbb1zWZ2RkJPfffz99+/Zlx44djBgxgtdeey3fsYSHh7Nw4UIWLVrEokWLWL16NR988EHW+fj4eEaPHk1wcDDLly/Hzs6Ofv36kZFRsGnYKlWqYGdnx/z58/Os0paQkECXLl1wd3dnzZo1rFu3Dnd3d3r27ElKSkpWu+XLl7Nv3z7+/PNPFi1adFk/xhjuvvtuoqOjWbx4MSEhIbRq1Ypu3bpx5swZAAYNGoSfnx/BwcGEhITwyiuvaGltpZRSSmWZv+0oAPe39ivwupxKbk681cda9jBlVTh/Hy96lkxhrAg9iTHQtKYnNbyLliXUpWFV5j3RgcruTuw9cZ7+UzYQFnMh/wuvAYUt0nDdSkxNp/H/LSuTe+99605cnfL/pzh48CDGGBo1apTr+UaNGnH27FlOnTpF1apVAejatSsvvvhiVpvIyMhLrpk6dSoNGzbk448/BqBhw4bs2bOHd99994pjycjIYPbs2Xh4WPvxDh48mOXLl2ddd999913SfsaMGVStWpW9e/cWaP1TzZo1mTRpEi+99BJvvvkmbdq0oUuXLgwaNIi6desCMG/ePOzs7Jg+fXrWH6JZs2bh7e3NqlWruOOOOwBwc3Nj+vTpWWWxc1q5ciW7d+8mJiYGZ2drr+FPPvmEhQsXMn/+fJ544gmOHDnCmDFjCAoKAqBBgwb5PgellFJKFZ0xhrmbj5CQksaD7Wrnu06mLB2OjWdLxBnsBPq3zHOnmVzd1cyXnk18Wfp3NGN+3MUvz3bC0b505zCy0usaFW7ZRU7N/bxZ8FQnhs7aQsTpeO77YiPTh7ahbUDuyz2uFTqDdB3JnDnK/qlFmzZtrnjN/v37adu27SXH2rVrl++9AgICsoIjgOrVqxMT88/evuHh4Tz88MPUrVsXT09P6tSpA8CRI0fyfyI2zzzzDNHR0XzzzTd07NiRH3/8kSZNmvDnn38CEBISQlhYGB4eHri7u+Pu7k6lSpVISkoiPDw8q59mzZrlGRxl9nPx4kV8fHyy+nF3dyciIiKrn9GjRzN8+HC6d+/OBx98cEn/SimllCp5O6LO8frCPby3OJRbP1zJ5JVhxCenlfWwcvXTtmMA3NKgCr5eLoW6VkR4u29TvF0d2XviPFNXle57jISUNNYePA3AHU0Kvv4oL7V9XPnpqZtpVdubuMRUBk3fzJLdJ/K/sBzTGSSbCo727H3rzjK7d0HUr18fEWHv3r307dv3svOhoaFUrFiRypUrZx1zc3O7Yp/GmMumgQuS8pczvUxELkmfu+eee6hVqxbTpk2jRo0aZGRk0LRp00tS3wrCw8ODe++9l3vvvZd33nmHO++8k3feeYcePXqQkZFB69atmTt37mXXZS/CkN9rkJGRQfXq1Vm1atVl57y9vQEYN24cDz/8ML///jtLlixh7NixzJs3j379+hXq+SillFKqYOZstHaRcbK3Iy4xlY+X7WfmugievL0ej3Twp4LT1StocCUZGYafQqz0uvta1SxSH1U8nBl3TxOe/34Hk1Yc5M6mvgRW88j/wiJYe/A0yWkZ+FWsQJBvydyjkpsTc4d3YOS87fyx9yRPf7uNN+5uzLBb6pRI/1ebziDZiAiuTg5l8lXQPFUfHx969OjBlClTSExMvORcdHQ0c+fOZeDAgYWqRx8UFERwcPAlx7Zu3Vrg63MTGxvLvn37eP311+nWrVtW6l9xiQhBQUHEx8cD0KpVKw4ePEjVqlWpX7/+JV9eXl4F7rdVq1ZER0fj4OBwWT/Zg83AwEBGjRrFH3/8Qf/+/Zk1a1axn5NSSimlLhd7MZlFu6xZiO+e6MCEgS0I8HElNj6Fdxfv47aPVzJ7fQTJabmvU76aNkXEcuxcIh7ODtzZpOgpa31uqkG3oKqkphvG/LiTtPTSKZ+dvXpdSe5hVMHJni8eac3gDv4YA28t2su7v+8lI6Nga+3LEw2QrjGff/45ycnJ3HnnnaxZs4aoqCiWLl1Kjx49qFmzZr5rh3IaMWIEoaGhvPzyyxw4cIAffviB2bNnAxT5P5qKFSvi4+PDV199RVhYGCtWrGD06NGF6mPHjh306dOH+fPns3fvXsLCwpgxYwYzZ86kT58+gFU4oXLlyvTp04e1a9cSERHB6tWrGTlyJEePHi3wvbp3707Hjh3p27cvy5YtIzIykg0bNvD666+zdetWEhMTefbZZ1m1ahWHDx9m/fr1BAcH57kWTCmllFLF88PWo6SkZ9CsphetanvTr6Uff42+nY/ua05N7wqcupDMuN/20vnjVczdfLhM9+KZb5s96t2iBi4FzArKjYjwbr9meLg4sPNoHNPXRZTUELOkZxhWhFpLIgpT3rug7O2Et/o04eWe1prtaWsjGPn9jnIRyBaGBkjXmAYNGrB161bq1avHwIEDqVevHk888QRdunRh48aNee6BlJc6deowf/58FixYQPPmzfniiy+yqthlFiwoLDs7O+bNm0dISAhNmzZl1KhRWUUgCsrPz4+AgADefPNN2rdvT5dpC3MAACAASURBVKtWrfjvf//Lm2++mTU+V1dX1qxZQ+3atenfvz+NGjVi2LBhJCYm4unpWeB7iQiLFy/mtttuY9iwYQQGBvLggw8SGRlJtWrVsLe3JzY2liFDhhAYGMiAAQPo1asXb775ZqGek1JKKaXyl55h+GaTlV43uKN/1ge2DvZ2DGhbi5Uvduadvk3x9XThRFwSr/28h66fruKHrVGlNuuSl4vJaSzZHQ1Y1euKy9fLhTd6NwZg/J8HCIu5WOw+sws5fJYz8Sl4VXCkXSkVUhARnupcj4kDb8LRXvjj72gOnizZ51HapKAlpq81IuIJxMXFxV32ZjkpKYmIiAjq1KmDi0vhFtLdCN59912mTp1KVFRUWQ9FXYH+HiulricnzydRyc2p1Kt3qfJv+b6TPP6/rXhVcGTTf7rludYoKTWdbzcfYcqqcE5fTAagbmU33unblJvrV871mpL249YoxszfRd3Kbix/4fYSSVkzxjB0VjBrDpyiVW1vfnzyZuztSiYV7t3f9zJtbQT9WtZkwsCbSqTPK1kfdpqLyWnFSj0sKefPn89cguFljDl/pbb6V0gxZcoUgoODOXToEHPmzOHjjz9m6NChZT0spZRSN4itkWe49cOV9Bi/msOx8WU9nOvWuYQUNoSfLvD+i2Xla1txhgFt/K5YiMHF0Z5ht9Rh7Utd+E+vICq6OnLodDwPT9/MmB93ci6hcIWhiiIzve6+Qux9lB8R4f3+zXB3dmDbkXPM3hBZIv0aYy5Zf3Q1dKpfuVwER4WlAZLi4MGD9OnTh8aNG/P222/zwgsvMG7cuLIellJKqRvEhL8OkJKeQWRsAv2nbGBH1LmyHtJ1Jyk1nf5fbODhaZv5z4LdpJfThfOHY+NZfeAUAIPa+xfomgpO9oy4vR5rXurCkI7+iMCPIUfpPn41v+48XmoB4ZHYBDZHnEEE+hexel1eanpX4D93Wet4Pl4WSuTp4n9wEBZzkcjYBJzs7bgtsEr+F9zANEBSTJgwgePHj5OUlMSBAwd44403cHDQCvBKKaVK3/YjZ1kfFouDnRDk60FsfAoPfrUx65NuVTIm/HWAQ6esN9nzgqN4/vsdpF7l9ToFkbn26PbAKgRUvvI2HTl5uDjyVp+mzH+yIw2qunP6YgrPfbedYbODOXYuMf8OCumnbdbs0S31K1Pdq0KJ9/9Q29p0rOtDUmoGL/+0q9jV4P6w/Td1c30f3J31fd6VaICklFJKXUeMMfz7u+10H7+aD5eG8vfxuHKdUjV5pbUpZt+WNfnpqZu5PbAKSakZjJizlTkbI8t0bNeLHVHnmLbmEACP3hyAo73w287jPPVNCEmp5ae6WFJqOj9stYKOIR0LNnuUm9b+lfj9uVsZ3SMQJ3s7Vu4/RY/xq5m5LqLEZs4yMkxWgFQSxRlyY2cnfHhfcyo42rM54gxzNx8uVn9XO73uWqYBklJKKXUdCTl8lt92Hics5iJfrArn7knr6Pbpasb/sZ+DJy+U9fAuERp9nr/2nUQEnupcDzdnB6YPbcPANrXIMPDGL3/zwZLQcrmPStSZBJ6Zu42Jfx3gQDl7XbNLTkvnpfk7yTDWPjvj7m3CV4Pb4Oxgx1/7Ynj8f8HEJ6eV9TAB+HXnceISU6npXYHODasWqy8nBzue69aAxSNvpV1AJRJS0nlr0V76f7GBfSeuuD6/QDZHnOHoWWvvozsal94am9o+rrzcsyEA7y8JJepMQpH6iTmflJW62r2RBkj50QBJKaWUuo7MsaUodarvQ88mvjg72HHodDyTVoTRY8Ia7pywhs+WHySiBNY0FFfm7NFdzapTr4o7AI72dnxwXzNG9wgEYOrqcEb9UP72URn769/8vvsEE/86yB0T1tB9/GrG/3mA0Ojz5WrGbvKKMA6cvIiPmxNj72kCQJegqsx+rB1uTvasD4tl8IzNxCWmlvFI/0mve6SDf4lVbatf1Z15T3Tg3X5N8XB2YGfUOe75bB0fLQ0t1uzZP3sfVb9iIYmSMKRjAG0DKpKQks5/Fuwu0u/XX/usvY9a1PKmmqdWvs2PBkhKKaXUdeL0xeSsPVn+06sRUwe3JuSNHkwceBPdG1XF0V7Yf/ICn/55gC6frOLuSWv5YlV4kT+VLo6I0/H8vus4AM90rn/JORHhuW4N+OSBFjjYCb/sOM7QmVvKxZt4gG1HzrIiNAZ7O6Fzwyo42dsRFnORScsP0nPiWrqNX80ny/az93jZBkt/H49jyiorCH2rT1MquTllnetYz4dvhrfHq4Ij246c46GvNhFrK5VdFnZEnWPX0Tic7O0Y0KZkU9bs7IRB7f3564Xb6dnEl7QMw5RV4fScuIa9xws/mxSfnMaSPSeA0kuvy87OTvjo/hY4O9ixLuw0E/86WOg+/thr/V24Q9PrCkQDJKWUUuo68cPWKFLSM2hRy5umNb0AcHd2oG/Lmkwf2patr/Xgo/ubc1tgFezthL+Pn+fDpaF0/mQVC7cfu6pj/WJVGBkGugVVpXGN3Df3vr+1H7Mea4u7swObDp3hgakbSmWxfWGN/+MAAPe1qsnsx9qx9Y3uTBjYgu6NquFkb8ehU/F8vjKMuyatpeunq/loaSh7jl3dtWCp6Rm8NH8XaRmGXk19ubt59cvatKxdkXlPdKCyuxN7T5xnwJcbiY5LumpjzG6OrbR37+bV8XEv2kb1+anm6cLUwa35cnBrqnk6ExmbwCMzNhc6RXLJnmgSUtKpU9mNVrUrlspYc6pT2Y23+zQF4L/LDxbqv9eLyWlsCIsFNEAqKC1hoZRSSl0H0jMM324+AsAj7Wvn2sbL1ZEBbWoxoE0tzsSnsHRPNAu2HWXr4bOMmb+TKh7OdLoKG2weO5fIgm3WG7xnuta/YttbG1Th+xEdeGxWMAdOXqT/lPXMerRdnkFVadt0KJZ1YadxtBf+3bUBAJ4ujvRr6Ue/ln5cSEplRWgMv+86waoDp4g4Hc+UVeFMWRWOk4MdVdydqezhTBV3Jyq7O1PFw/mSx8ruTlTxcMbd2aFY++p8teYQfx8/j7erI2/2aZJnu0bVPfl+REcemb6Z8FPxPPDlBr4d3oFalVyLfO/COhOfwm+22cTBxSjOUFB3NvGlQ10fhszYzM6jcQyavpkfRnSkTgGr5s0PiQKsALmk9j4qiAFtaxF++iJfrj7ES/N34VexAm0CKuV73ZoDp0hJzyDAx5X6Vd2vwkivfTqDpIpMRFi4cGGp9BUaGkqHDh1wcXHhpptuyvNYeVaSr49SSuVn9YEYjp5NxKuCI/e0qJFv+0puTjzcvjY/jOjI3c2rk5pueHJOSIksYM/PV6vDScsw3FzPp0CfwDep4cXPz3QisJo7J88nM+DLjaw9eKrUx5mTMSZr9mhg21q5BhEeLo70uakmXw1pw7Y3ejDpoZZZa8FS0jI4di6RnVHn+GtfDPOCo/hsRRhjf/2bp+duY8CXG+n66WqajfuDrp+uLvJ+UAdOXuC/tjSssfc0pqrHldec1Kvizg8jOuLv40rUmUTun7qBsJirV3jix61RpKRl0LSmJzfV8r4q9/Sq4Mj/hrUjyNeDUxeSGTRtU4FSTaPOJLDpkLX3Ub9WpZ9el9PLdwbRs4kvKekZPDEnpEAbK2evXnc1A7prmQZI15jOnTvz/PPPX3Z84cKF5e6X/tFHH0VEEBEcHR2pVq0aPXr0YObMmWRkXLr3wokTJ+jVq1fWz2PHjsXNzY39+/ezfPnyPI+VZzmfk1JKlaZvNlmzRw+09sPFseCLxu3shE8faEG7OpW4kJzGY7OCOV6KaWynLiQzL9j6BP7ZLleePcqupncFfnzyZjrUrcTF5DSGztzC+4v3XdUy1evCTrMl8gxODnY826VBvu3dnR24t0UNpg5uza5xd7D2pS78/PTNTBvShvf6WYUoBnfwp1dTX9r4VyTAxxU324L/iNPxPDB1A99sOlyo1Lz0DMOY+btISc+ga1BV+t5UsA1Ma1Vy5ccRHbMFoZvYcyyuwPctqvQMwze28tVDOgRc1fcy3q5OfDO8PfWquHE8LolB0zfnm2KYWdq7U73K1PQu+b2P8mNnJ0wYeBPN/bw4E5/CsNnBxCXkvTYvNT2DFaFWgYYepVht73qjAZIqVT179uTEiRNERkayZMkSunTpwsiRI+nduzdpaf+UFfX19cXZ+Z+c4/DwcG655Rb8/f3x8fHJ81hhpaSkFO8JFULO56SUUqUl6kwCK/dbb4IGdSh8ipKLoz3TBrehflV3os8n8eis0iuIMGNdBMlpGbSs7U3HeoX7W575qf+ANn5kGPhyzSHu+Wwdu4+W/ht5Ywyf2GaPHmnvj69X4SqBOTvYU6uSKy1rV6RH42o83L42z3VrwNt9m/LFI62Z/9TNrBrThb/f6sn2N3pwZ5NqpKYbXl+4hxd+3EliSsECwZnrItgZdQ4PZwfe7de0UAFHVU8X5j3RkWY1rTffD03bxNcbIzmXUHr/71xz4BRRZwo+81nSKrs78+2/OuDv48qRMwk8PH0Tpy7kXqziaux9VBAVnOyZPqQN1b1cCD8Vz1NzQ/Lc9Dc48gxxialUcnOitf/VWS91PdAA6Tq1c+dOunTpgoeHB56enrRu3ZqtW7cCMG7cuMtS1CZOnEhAQEDWz8HBwfTo0YPKlSvj5eXF7bffzrZt2wo9DmdnZ3x9falZsyatWrXi1Vdf5ZdffmHJkiXMnj07q132dDQRISQkhLfeegsRYdy4cbkeAzh27BgDBw6kYsWK+Pj40KdPHyIjI7P6ffTRR+nbty/vv/8+NWrUIDDQKhubkpLCSy+9RM2aNXFzc6N9+/asWrUq67rZs2fj7e3NsmXLaNSoEe7u7lnBXnYzZ86kSZMmODs7U716dZ599tlcn1NkZCQiwoIFC+jSpQuurq60aNGCjRs3XtLftGnTqFWrFq6urvTr14/x48fj7X110g2UUteub7ccwRi4tUHlAq+jyMnL1Qo+qno4c+DkRZ74emuJl9aOS0jNKuX8bJf6RZotcHaw56P7WzBtSBsquztzMOYifaesZ/wf+0lJy/1NYklYERrDzqhzVHC056nO9UrtPgAV3ZyY+khr/tMrCDuBBduO0W/K+nzTqSJOx/PJH/sBeO3uRlT3KvwMRyU3J+b+qz1tAypyISmN//vlb9q9u5ynvgnhr70n83wjXlRfb4wErJnP0i6XnZdqni7MHd6eGl4uHDoVz+AZmzkbf3lQuCXyDFFnEnF3duDOJmU7G1PV04UZQ9vi5mTPhvBY3li4J9eZxsz0uq5BVUusdPqNQAOkTMZASnzZfJVCVZtBgwbh5+dHcHAwISEhvPLKKzg6Ohb4+gsXLjB06FDWrl3Lpk2baNCgAXfddRcXLhQ/J7lr1660aNGCBQsW5Hr+xIkTNGnShBdeeIETJ07w4osv5nosISGBLl264O7uzpo1a1i3bl1WIJN9pmj58uXs27ePP//8k0WLFgHw2GOPsX79eubNm8euXbt44IEH6NmzJwcP/lM6MyEhgU8++YQ5c+awZs0ajhw5wosvvph1/osvvuCZZ57hiSeeYPfu3fz666/Ur3/ldJHXXnuNF198kR07dhAYGMhDDz2UNZO2fv16nnzySUaOHMmOHTvo0aMH7777bpFfZ6XUjSE5LZ0fbClrjxRh9ii7mt4VsqrGbY44w4s/7irRTVpnb4jkYnIaQb4edA0q3kagPRpX449Rt9G7eXXSMwyTVoTRd/L6UllDlZFh+NQ2ezT05gCqeJR+doCIMOL2enwzvD2V3Z0Ijb5A78/W8ZftDW9uY3x5/i6S0zLoVN+HgW1rFfneni6OzHm8PW/0bkyj6p6kpGewZE80w7/eSof3lvPWb3v5+3jxZ+2OxCaw6oC1lqwoM58lya+iK9/+qwNVPZwJjb7AkJlbOJ906Sxq1t5HzUt/76OCaFzDk88ebomdwLzgKKatPXTJeWPMJeuPVMFpFbtMqQnw3tWf2gXg1ePgVLRP/PJy5MgRxowZQ1BQEAANGuSfK51d165dL/n5yy+/pGLFiqxevZrevXsXe3xBQUHs2rUr13O+vr44ODjg7u6Or6/1CY27u/tlx2bOnImdnR3Tp0/P+hRy1qxZeHt7s2rVKu644w4A3NzcmD59Ok5O1v4P4eHhfPfddxw9epQaNax/8xdffJGlS5cya9Ys3nvvPQBSU1OZOnUq9epZnxQ+++yzvPXWW1njfOedd3jhhRcYOXJk1rG2bdte8Xm/+OKL3H333QC8+eabNGnShLCwMIKCgvjss8/o1atXVhAWGBjIhg0bsoI6pVT5Fxp9nuX7YujZ1Ddr49PStnRPNLHxKVT3cqFbMYMOsAoifPFIKx6bFcxvO49Tw8uF/9zVqNj9xienMWtDBADPFHH2KKdKbk58/nArejY9zhsL97D3xHnu/Xwdz3cPZMRtdXGwL5nPgZf+Hc3eE+dxd3ZgxG11S6TPgrq5XmUW/ftWnp4bwrYj5xj+9Vae6VKP0T0aXjIj8M3mw2yJPIOrkz0f9G9e7NfXxdGex2+pw+O31GHv8fP8tO0ov+w4xumLKcxcH8HM9REE+Xpwf2s/+txUs0hB49zNhzEGbgusUuSZz5IUUNmNucPbM/CrTew+Fsdjs4L5elg73JwdiE9OY/Huq7f3UUF1DarGG70b8+Zve3l/SSj+Pm5Zs1uh0Rc4ejYRZwc7bm1Q+tUpryc6g3SdGj16NMOHD6d79+588MEHhIeHF+r6mJgYnnzySQIDA/Hy8sLLy4uLFy9y5MiREhmfMabYf7xDQkIICwvDw8MDd3d33N3dqVSpEklJSZc832bNmmUFRwDbtm3DGENgYGDWde7u7qxevfqS61xdXbOCI4Dq1asTE2Pl+MfExHD8+HG6detWqDE3b978kv4y+wLYv38/7dq1u6R9zp+VUuVPXGIqczYd5t7P19Fz4lo+XrafAVM3cujUxaty/8yUtYfa1S6xgODWBlX46H7r79WXaw4xe31Esfucu/kw5xJSqVvZjbuaXb4nT3H0bl6DP0bdTo/G1rqdj5ft576pG0ukElt6hmHCn9bs0bBb6lAx22arV4uvl7U26NGbAwCYvDKcoTO3ZG3sGnUmgQ+WhALwcs+gEi/R3biGJ2/0bszG/3RjxtA23NXMFyd7O0KjL/DO7/vo8P5yhs0OZumeaNIKmIKXlJrO91utmc8hZTx7lF2Dah7Mebwdni4OhBw+y/D/bSUpNZ2ltr2PAnxcy91ankdvDmBIR3+Mgefn7chak5c5e3Rrg8q4OumcSGHoq5XJ0dWaySmrexeQp6cncXGXT2ufO3cOT89/9oQYN24cDz/8ML///jtLlixh7NixzJs3j379+mFnZ3dZnmpq6qXTyI8++iinTp1i4sSJ+Pv74+zsTMeOHUusyMG+ffuoU6dOsfrIyMigdevWzJ0797JzVapUyfreze3ST6UyMjKwt7cnJCQEe/tLp8jd3f/5xDdnSqKIZL1uFSoUrXJN9j4zA8TMin65BY1luQO7UipvGRmGjYdi+WFrFEv3RJNsW/viaC9UcnPi5PlkBs/YwvynOhZpHUhBhUafJzjyLA52woPFSKnKTf9WfpyIS+LjZft5c9FefL1c6Nm0aIFNUmo609ZaQdaTneuVylqIKh7OfDW4NT9vP8bYX/9mZ9Q57pq0jjF3NGTYLXWKfM/fdh7nYMxFvCo48vgtxfv/VnE4Odgx7t4mtKztzSs/7WZd2Gnu+Wwdkwe14pM/9pOQkk7bgIoMLsVgw9Hejm6NqtGtUTXOJaTw264T/BRylB1R51gRGsOK0BhqeLkwqIM/D7atdcUNXxftOsG5hFRqelegSwnMfJakJjW8+Prx9jwyfTMbD8UyYk4ICSlWOvx9rfzKXdVgEeH/ejfmcGwCqw+c4vH/BfPLs500va4YNEDKJFLiaW6lISgoiCVLllx2PDg4mIYNG15yLDAwkMDAQEaNGsVDDz3ErFmz6NevH1WqVCE6OvqSN+Q7duy45Nq1a9cyZcoU7rrrLgCioqI4ffp0iTyHFStWsHv3bkaNGlWsflq1asX3339P1apVLwkO89OyZUvS09OJiYnh1ltvLdK9PTw8CAgIYPny5XTp0qVIfeQUFBTEli1bLjmWWVhDKVU+HD2bwE8hx/gxJIqjZ/8phR1YzZ0BbWrRr2VNDFgzSKfjGTxjCz+M6EilUpp1yJw9uqNJNap6Fq6qWkE83bkex84l8u3mI4yct4O5w50LtDFlTj9ujeLUhWRqelegX8uClZ0uChGhfys/Otbz4eWfdrPmwCneXbyPP/ZGM/HBloUuy5yWnsHEv6zZoyduq4tXhYKv5S0tfW6qSZCvJ099E8Kh0/H0/2IDxoCzgx0f3d8Cu6u0EN/b1YnBHfwZ3MGf8FMX+XHrUX7YGsVxW1D9378O0rtFdYZ2DKBFLnsbzdkYCcCgDrXLZfGAm2p5M+uxtgyZsYXVtnVSItC/HKXXZedgb8fnD7fk/i82sv/khayNf0WsNDxVOJpid415+umnCQ8P55lnnmHnzp0cOHCAyZMnM2PGDMaMGQNAYmIizz77LKtWreLw4cOsX7+e4OBgGjWycsg7d+7MqVOn+OijjwgPD2fy5MmXBV3169dnzpw57Nu3j82bNzNo0KAizZokJycTHR3NsWPH2LZtG++99x59+vShd+/eDBkypFivxaBBg6hcuTJ9+vRh7dq1REREsHr1akaOHMnRo0fzvC4wMJBBgwYxZMgQFixYQEREBMHBwXz44YcsXry4wPcfN24cn376KZMmTeLgwYNs27aNzz77rMjP59///jeLFy9m/PjxHDx4kC+//JIlS5aUu0+qlLrRpGcYft15nMEzNnPrRyuZ8NcBjp5NxMPZgUHta/PLM51Y9vxtDL+1Lj7uzlR2d+brx9tR3cuFsJiLPDprCxeT0/K/USFdTE7j523HgOIXZ8iLiPDWvU3o3qgqyWkZDP96K+GFTB1MTc9g6mpr8fiI2+viWEJpgFdS3asC/3usLe/3b4abkz3BkWfpPWltoTeXXbDtGJGxCVRyc8pKbysPGvp68MuznbizSbWsOk8v3tGwzNbx1Kviziu9gtjwSlc+faAFzf28SEnPYMG2Y/SZvJ4+k9ezYNvRrKqIO6POsfNoHE72dgxsU7IznyWpbUAlpg1pg5OD9Tt7cz2fMtn7qKA8XByZ8WgbKrs7EX7KqnjYunbFq1JU5HqjAdI1JiAggLVr1xIeHs4dd9xB27ZtmT17NrNnz+aBBx4AwN7entjYWIYMGUJgYCADBgygV69evPnmmwA0atSIKVOmMHnyZFq0aMGWLVsuqc4GVgGEs2fP0rJlSwYPHsxzzz1H1aqFnwJfunQp1atXJyAggJ49e7Jy5UomTZrEL7/8cll6W2G5urqyZs0aateuTf/+/WnUqBHDhg0jMTEx3xmlWbNmMWTIEF544QUaNmzIvffey+bNm6lVq+B/qIcOHcrEiROZMmUKTZo0oXfv3pdUwSusTp06MXXqVMaPH0+LFi1YunQpo0aNwsWl5D8VVkoV3NuL9vLcd9tZe/A0xkDHuj5MGNiCLa91591+zWhRy/uyDzL8Kroy5/H2VHJzYtfROP5lW8dQkn7efoz4lHTqVXGjY92i7Q1XEA72dkx6qCUtanlzLiGVoTO3sD/6QoFTgBduP8axc4lUdndmwFV8MywiPNSuNktG3kbTmp6cTUhlyMwtfL7iYIEq86WkZfDf5dbf9Kdur4ebc/lKuvFwcWTqI635oH8zxtxppRGWNRdHe+5r7cevz97Cwmc60b9lTZzs7dgZdY7RP+zk5vdX8PGyUL5YZa33vbt59Sum4ZUHtzSozLQhbWgbUJFR3QPLejj58qvoyrQhbXC2BXWaXlc0cr2ucRARTyAuLi7usjfLSUlJREREUKdOHX3zqcq1f/3rX4SGhrJ27drLzunvsVKl7/TFZG5+fwUp6RmMuL0ug9r5U9un4OtGdx+N46Fpm7iYnEaPxtX4YlCrEimkYIyh13/XEhp9gbH3NOaxTqX/5jj2YjL3fbGByNgEAOpUdqN7o6p0b1SN1v4Vc31e6RmGHhNWc+hUPP/pFcSI20t3/6C8JKWmM+7Xv5lnK4feNagqEwbchJdr3ilzczYd5o2Fe6jq4czqMV3KRVnna9Hpi8l8HxzFN5sOcyIu6ZJzC56+mVa1y1fBg+vF+rDTLNp1glfvCsLDpexTQ8uD8+fP4+XlBeBljLnifgA6g6RUOfLJJ5+wc+dOwsLC+Oyzz/jf//7H0KFDy3pYSt2w5m05Qkp6Bi38vHilZ1ChgiOAZn5eWSk6f+49ycs/7S6RfYW2Hj5LaPQFKjja07/V1VkT4ePuzNfD2tO5YRUc7YWI0/FMWxvBwK820ebdvxj9/Q4W7z5xSTrh0j3RHDoVj1cFxzLd58bF0Z4P7mvOR/c1x8nBjhWhMfT+fC17juW+l09Sajqfr7Bmj57pUl+Do2Ko7O7MM13qs/alLkx9pFXWbGf7OpVomcvaJFUyOtWvzPv9m2lwVETla75YqRvcli1b+Oijj7hw4QJ169Zl0qRJDB8+vKyHpdQNKTU9gzm2IgiPdgoo8nrAjvV8mPxwK578JoSfth3Fq4Ijb/RuVKz1hZnFGfrcVOOqFg6o7ePK7MfacSEplbUHT/PX3pOs2B/DuYRUFmw/xoLtx3Cyt6N93Ur0aFyNbzdbW0M81ikA93KQojagbS0a1/DkqbkhRJ1JpP8XG3inT1MG5KgAOHfzEU6eT6aGlwsPtiu/a2SuJQ72dvRsWp2eTasTcyEJTxdHXWOryq2y/2ullMryww8/lPUQlFI2S/dEc/J8MpXdnYu9b0+PxtX4+P7mjP5hJzPXR1DR1ZF/dyvcBt6ZTl9MztqwsrSKM+THw8WRu5pV565m1UlLzyDk8Fn+2neSH5PdUwAAIABJREFUP/eeJDI2gbUHT7P2oFX51M3JvlwVOGha04tFz97KqB92sCI0hpd+2sW2I2cZd28TXBztSUhJ44tVYQD8u1sDnB109qikVfXQtHBVvmmApJRSSuVi9oZIAAa1r10ib5L7t/LjXEIqby3ay6d/HsDL1ZEhHQMK3c8P/8/eeYdHVWZ//HPTE1JIII1OAlJC74hIUUFRVASx74oN21rWXV3d5m9Xt+jquvauu4oFsWAFRAXpvYXeExJSIL1PZu7vjzPDJCE9mRI4n+eZZ27uvHdyMrlz73vec873bEzFYjUZ3LU9AzpHtNiuluLn68PohA6MTujAY9P6cTC7mKW7M/lhdyabU/L41QW9aR/i/uaq9RER4s+bvxjBy8sO8Mz3+/hoQyrJ6fm8csNwvt5+nBNFFXSLCmGWl0o6K4riWtRBUhRFUZQa7DiWz6ajufj7Gtwwulurve8t5/Ukv9TCf37Yz58W7iQ8yJ8rm9AXyGozmbdW0tZc2RC0uRiGQa+YUHrFhHLnhMRaG2B7Cz4+BvdO7s3gru2578MtJKcVcNkLK0+p891/QW+3SJIriuJ9nNXf/DNVwU85O9DzV1FchyN6dOnA+FZvwPrAhb1PpZw99Mk2Ptt8jIpKW6OOXb4vi7S8UiKC/blsUMvS/tyBtzpHVRnfO5qv7xvP4K7tyS+1UFBWSWJ0uyY5roqinFm0yEEyDONRwzBMwzCeq7LPMAzjccMw0g3DKDUMY5lhGEk1jgs0DOMFwzBOGIZRbBjGl4ZhdKkxJtIwjPcMw8i3P94zDKNV5E78/aWgtaSkpDXeTlE8QkVFBUCL+0kpilKdE0XlfLUtHYCbXSCfbRgGf7qsPzOGdsZqM/n1/G0Mf+J7Hvx4K4uSj1NSUXdT2fft0aPZI7oQ5K/f/daic/tg5s8dw83n9qBjaCCPX56Er4/3O3eKoriGZqfYGYYxErgD2F7jpYeBXwM3A/uAPwDfG4bRxzTNQvuY54DpwLXASeAZ4GvDMIabpunopPcB0AW42P7z68B79uNahK+vL+3btycrKwuQhqNtYZVLURzYbDays7MJCQnBz08zZRWlNflwnUh7D+naniEukiH28TF4atYgYsID+XRTGieKyvl8Sxqfb0kjyN+H83tHc/GAOC7oG3uqV09qTgk/7ZX71vWjvS+9rq0T6OfL45cn8fjlSQ0PVhTljKZZMyvDMEKBecDtiAPk2G8ADwBPmqb5mX3fL4FM4HrgNcMwIoBbgZtM01xqH3MjkApcCCw2DKMf4hiNMU1znX3M7cAau6O1tzl2VyUuLg7glJOkKG0NHx8funXrps69orQiVaW954zr4dLf5e/rw6OX9OPhqX3ZkpLL4p0ZLNqZQWpOKUt2ZbJkVyZ+PgZjEjowdUAce44XYJowvndHenZs51LbFEVRzmaau/T8EvCNaZpLDcP4Q5X9PYE4YIljh2ma5YZhLAfOBV4DhgP+NcakG4aRbB+zGBgL5DucI/uYtYZh5NvHnOYgGYYRCARW2RVW3x9gGAbx8fHExMRgsVga+WcrivcQEBCAj89ZXUaoKK3Od8kZZBWWEx0WyCUD3FPj4+tjMKJHFCN6RPHYtH7sOl7A4p2ZLE7OYG9mISsPnGDlgROnxntK2ltRFOVsockOkmEY1yJOzohaXo6zP2fW2J8JdK8ypsI0zdxaxsRVGVNbaCerypiaPAr8uW7La8fX11drOBRFUdxEYZmFV5cfpF98ONMGxOPjZXUe7646DMCNo7sT4Of+BQjDMEjqFEFSpwh+fdE5HD5RzOKdGSzemcGWlDx6x4RyQd8Yt9ulKIpyNtEkB8kwjK7Af4AppmmW1TO0pryWUcu+096+xpjaxtf3Pn8Hnq3ycxhwrIHfqSiKoriRv3y1i082yaW5f/xBfju1DxP7RHtFqui21Dw2p+Th72tw3eiunjYHgJ4d23HnhETunJBITnEFwf6++Kn0tKIoiktp6lV2OBADbDIMo9IwjEpgAnCffdsROaoZ5Ymp8loGEGAYRmQDY2Jr+f3RnB6dAiSVzzTNAscDKKxtnKIoiuIZVu4/wSebjmEYEBrox67jBcx5dwOzX1vDhiM5njaP/9qlvS8b1ImYsNaV9m4NotoFEBygGQ+KoiiupqkO0g/AQGBIlcdGRLBhCHAIcW4uchxgGEYA4kSttu/aBFhqjIkHBlQZswaIMAxjVJUxo4GIKmMURVGUNkJphZXHPt8BSIPTFQ9PYu75CQT6+bDhSC5Xv7qGm99Zz870fI/Yl1VYxlfb7dLe9h5FiqIoytlJk1Ls7DLdyVX3GYZRDJw0TTPZ/vNzwGOGYewH9gOPASWIbDemaeYbhvEW8IxhGCeBHOBfwA5gqX3MbsMwFgFvGIYx1/6rXge+bg0FO0VRFMW9PLd0Hyk5JcRHBPHbqX0IC/Ln0Wn9mDOuJ8//uJ+PN6SybG82y/Zmc9mgeB6a0setSm0frkvFYjUZ2q09g10k7a0oiqK0DVyRyPwU0ufoZSS61BmpWaqa8vYg8AUwH1iFOFDTq/RAArgBcZqW2B/bgZtcYK+iKIriQpLT8nljxSEAnrhyAGFB/qdei4sI4m8zBrL01xO4fHAnAL7efpwLn13Oo59t53h+qcvtq6i08f46kfbW6JGiKIpimGZD2gltE8MwwoH8/Px8wsPDPW2OoihKq1NYZuHueZvJK7HQOyaUxJhQeseE0ismlG5RIV5RzF9ptXHFS6vYmV7AZYPiefH6YfWO35VewL+W7OXHPSJkGuDnw9XDuzB9cCdG9ojC1wWqdwu3pnH/R1uJCQtk5SOTPaJepyiKoriWgoICIiIiACLsegV10tw+SIqiKIqHeW7pflbsl/44O9Kq1+4E+PrQs2M7etVwnBKi2xHo575C/7dWHmZnegERwf78eXpSg+P7dwrn7ZtHsuFIDk8v2sv6IznMW5fCvHUpRIcFcnFSHNMGxjOqZ+s5S++sOgJIfyF1jhRFURSNICmKorRB9mQUcOnzK7HaTB65uC9Wm439WUUcyCriYHYRZRZbrce1D/Hn99P6MWt4F5dLax85UczU536mvNLG07MGcfWIpklnm6bJ6oMn+XxLGkt2ZlBQVnnqtY6hgVw8IJZpA+MZ3bNDs52lLSm5zHh5NQG+Pqz63WSiwwIbPkhRFEVpczQlgqQOkqIoShvDNE2ueW0t64/kcHFSHK/eNLza6zabSVpeKQfsDtOBrCIOZBexP7PwlJMxvndH/jZjIF2jQlxm4w1vrmP1wZOM69WB928d3SKHrKLSxqqDJ/h2+3GW7Mokv9Ry6rWOoQFMTYrjUntkqSmphQ98tIUvtqZz1bDOPDt7SLPtUxRFUbwbdZBQB0lRlDOXz7cc48GPtxHk78MPD02kc/vgRh1XabXx5srD/Pv7fZRX2ggJ8OXhqX34xdge+LRybc/8jak8vGA7gX4+LHnwfLp3aD1FOovVxqoDJ/h2hzhLeSVOZ6lDuwAuHhDHpYMajixlFZYx7h8/YrGafHXveQzsEtFqNiqKoijehTpIqIOkKMqZSX6phQueWc6JonJ+O7UP90zq1eT3OJRdxO8+3cF6e3PW4d0j+efMgfSKCWsVG7MKy7jo2Z/JL7Xw6CV9mTshsVXetzYsVhurD57k2+3HWbwro5qz1DE0kEvszlJtAg/PLd3Hc0v3M7x7JJ/eda7LbFQURVE8jzpIqIOkKMqZyeNf7uTd1UdIiG7HovvPb7aogM1mMm99Cv/4djfFFVYCfH24/8Le3HF+Av4tVL+754PNfLP9OEmdwll4zzi3qelZrDbWHDzJN9uPs2hnRrU0vOiwQKYNiOPSQZ0Y0T2SSpvJuf/4kRNF5bxw3VCm2yXGFUVRlDMTdZBQB0lRlDOPXekFXPbCCmwmvHfrKMb3jm7xe6bllfL7z3ewbG82AP3jw3lq1iAGdG5eutn3uzK5/X8b8fUxWHjPuGa/T0txpOF9s/04i2sIPMSEBZLUKZyf9mYTGy7S3i11ChVFURTvRh0k1EFSFOXMwmYzufq1NWw6msulA+N56Yb6+wk1BdM0Wbg1nf/7aie5JRZ8fQzuOD+B+y/oTZB/4yXBC8ssXPTsz2QUlDF3QgKPXtKv1WxsCQ6BB4ezVFjFWfrNlHO4d3JvD1qnKIqiuAN1kFAHSVGUM4tPNqby2wXbCQnw5YeHJhAf0ThhhqZwoqicx7/cydfbjwPQo0MI0wbGM7x7JMO6RRLZLqDe4/+0MJn/rTlK9w4hLLr/fIID3NdvqbGUV1pZdeAEX28/TnF5JU/NGkxEsL+nzVIURVFcjDpIqIOkKMqZQ36JhcnPLONkcYXLRQ8AluzM4A9fJJNVWF5tf0J0O4Z3i2RY90iGd4+kV3ToKfW7jUdyuPq1NZgmzLttNON6dXSpjYqiKIrSFJriIPm5xyRFUZS2S1F5JZkFZVUe5WQWlFFmsTFreBeGd4906e9/5vu9nCyuoFdMKHPG9XTp7wKYkhTHmMQOfLfjOJuO5rI5JY8DWUUcyi7mUHYxn2w6BkBYkB/Dukl06cttaZgmXD28izpHiqIoSptGI0iKoih2ktPy+XJb+ilHKMvuCBVXWOs9bmpSLA9f3JfE6FCX2HT5iyuxmfDB7aM5N9EzzkdeSQVbUvLYdDSXTUdz2XYsj5Ian0vH0ACW/noC7UPqT8VTFEVRFHejESRFUZQmkpyWz6xXV1NmsdX6eligHzHhgcSGBxEXHkRMeBDZheV8vuUYi3dmsnR3FrNHdOWBC3sTGx7UKjbZbCZ/+CIZmwmXD+7kMecIoH1IAJP6xjCpbwwgTWf3ZBSyOUUcpkPZxfxmah91jhRFUZQ2j0aQFEU568ksKOOKF1eRUVDGiO6RTE2KO+UMxYYHERMWSLvA2teT9mcW8tTivXy/KxOAIH8fbjsvgTsmJBAe1LLi/483pPDIpztoF+DLj7+Z2GqOl6IoiqKcbahIA+ogKYrSOEorrFzz+hq2H8unV0won919brMcmw1HcvjHd3vYdDQXgMgQf+6d3Jsbx3Qj0K/pam65xRVMfmYZuSUW/nBpP24bn9Dk91AURVEURWiKg6Sd8RRFOWsxTZPfLNjG9mP5RIb489YvRzQ76jOyRxQL7hzL6zcNJzG6HbklFv769S4ueGY5X2xJw2Zr2mLU00v2kltioU9sGL88t0ezbFIURVEUpeloBElRlLOW55bu47ml+/H3NXj/1tGMTujQKu9babWxYNMx/r10H5kFIpXdLz6cSwbEERchNUxxEZK+Fx7kh2EY1Y7flprHlS+vwjTh4zvGtJpdiqIoinK2oiINiqIoDfDVtnSeW7ofgCeuHNCqToifrw/XjurGFUM6887qw7yy7CC7jxew+/jp1+OQAF/i7LVOcRHy+GlPFqYJM4Z2VudIURRFUdyMRpAURXEJP+7J5B/f7SEi2J/4iGA6tQ+mU/sgOkUEE98+iM7tg4kI9j8teuIOtqXmMfu1NZRX2rh9fE9+f2l/l/6+3OIKPt6YyuHsYjLsEuLH88vIL7XUeUxYoB8//GYCMWEqzKAoiqIoLUUjSIqieJQDWYX86oMtVfoH5dY6LtjfV5ym9sF0ighmWPf2XNAvlo6hgS6z7Xh+Kbf/byPllTYm943hd5f0c9nvchDZLoA7JySetr+0wkpGQRkZ+WVkFJSSkS99l7KLypk5rLM6R4qiKIriATSCpChKq1JYZuHKl1ZxMLuY0T2juGlsd9LzSknPKyM9r5Tj+fJ8srii1uMNA0Z0j2RK/zimJMXSvUO7VrOtpKKS2a+tITmtgD6xYSy4ayxhLZTiVhRFURTF+1GZb9RBUhRPYJomd72/mUU7M4gLD+Lr+86rMxpUZrGSYXeW0vPLOHqymGV7s9mRll9tXJ/YMKYmxTIlKY6kTuHNTsmz2Uzu+WAz3yVn0KFdAF/cM46uUSHNei9FURRFUdoW6iChDpKieIJXlh3kn4v2EODrw8dzxzC0W2ST3yM9r5Tvd2WyZFcGaw/lYK0ij90pIogpSXFM6R/LyJ5R+Ps2vlPBM0v28sKPBwjw9eGD20czokdUk21TFEVRFKVtog4S6iApirtZuf8Ev3h7HTYTnpwxgBtGd2/xe+aVVPDT3iwWJ2eyfF82pRbrqdcC/HxIjA6lT2wovWPD6BMbxjmxYXSJDMbHp3qUaeHWNO7/aCsAz1w9mJnDu7TYNkVRFEVR2g7qIHHmO0imabJsbzbvrj5CQnQ7fju1DyEBqrmheIZjuSVMf2EluSUWZo/owj9nDmp1dboyi5WV+0+wZFcGS3dnkVNHDVOwvy+9Y0PpHRNGn7hQ2gcH8IeFyVRU2rhrYiKPXNy3Ve1SFEVRFMX7UQeJM9dBstlMFu3M4KWfDrAz3fm/TYxux/PXDSWpU4QHrVPORsosVq5+dQ070vIZ2DmCT+4cS5C/r0t/p81mciy3lL2Zhew79SjiYHYRFZW2Wo+Z0j+WV28cflp0SVEURVGUMx91kDjzHCSL1caXW9N5edkBDmYXA9JgcuawLizZlUFmQTkBvj48cklfbhnXwyO9ZZSzD9M0eeTT7czfeIzIEH+++tV5dIn0nPBBpdXG0ZwS9mcWsjejiH1ZhezPLCQ+IpiXbxhGu0CNsiqKoijK2Yg6SJw5DlKZxconm47x2vKDHMstBSA8yI+bx/Vkzrk9iGwXQE5xBQ8v2M7S3ZkATOwTzdOzBhMd5rpeMooC8MG6FB77fAc+BvzvltGc17ujp01SFEVRFEU5DXWQaPsOUnF5JR+sS+GNFYfIKiwHoGNoALeel8CNY7qd1rvFNE3eX5fCE1/vorzSRsfQQJ6ZPZgJ50R7wnyv52RROSa4tCFpa1JeaeWtlYcJC/JnSv9YYsM930B0S0ous19bg8Vq8sjFfblr4umNUBVFURRFUbwBdZBouw5SmcXKGz8f4q1Vh8krsQAQHxHE3PMTuGZkN4ID6q/t2JtRyH0fbmFvZiEAt53Xk99e3IdAP9fWhLQltqXmccOb6yipqGRinxiuGdmVyX1jmiQZ7U7KLFbueG8TP+/LPrVvWLf2XDwgjqlJca3aSLWxZBeWM/2FlWQUlHFxUhyv3DhM0zoVRVEURfFa1EGibTpIVpvJXe9vYskuSZXr0SGEuyYmMmNoFwL8Gj95L7NY+fu3u/nvmqMAJHUK5/nrhpIYHeoSu9sS+zILmf3amlPOp4OOoYHMGt6Fa0Z2pWdH9zscdVFSUcmt725kzaGTBPv7ck5cGNtS86qN6RcfztSkWC4eEEef2DCXOyqVVhs3vrWOtYdySIxuxxf3jDstoqkoiqIoiuJNqINE23OQTNPkTwt38t7aowT4+fCPqwZy+eBO+LUgqrF0Vya/XbCN3BILwf6+/Hl6f64Z2fWsXelPOVnCrFdXk1VYzpCu7XniygF8vf04CzYd40RR+alxo3tGce2orlwyIN7lamz1UVhmYc47G9h4NJfQQD/emTOSkT2iyMgvY8muDBbvPL2Rao8OIUy1R5aGdGnvEsW2J7/ZxRsrDtMuwJeF955Hrxh1vBVFURRF8W7UQaLtOUgv/XSApxfvxTDgpeuHMW1gfKu8b2ZBGQ/N38bKAycAuGxQPP++ZojXppO5isyCMma9uprUnFL6xIbx8dwxtA8JAEQh8Mc9WXy8IZVle7Nw+BthQX7MGNqZa0Z2dbt8en6JhV+8s55tqXmEB/nxv1tHM6Rr+9PG5RZXsHR3Jot3ZvLz/uxqEtdB/j5EhQQQ2S6AyFPP/rQPCSAqxN+5PySAkEBfSiusFJZVUlxeSVGVR3F55an9uSWWU2Igr944jIsHtM55qiiKoiiK4krUQaJtOUifbjrGQ59sA+DP0/szZ1zPVn1/m83kjRWHeHrxXiptJvdf0JsHLzqnVX+HN5NbXMHs19awP6uI7h1C+GTuWGLqEDlIzytlwaZjfLwhlbS80lP7kzqFc3FSHBclxbo8jS2nuIKb3lrHzvQCIkP8ee/W0Qzo3LCDVlxeybK92SzamcFPe7IoKq90mY13Tkjkd5dow1VFURRFUdoGLnOQDMN4FLgK6AuUAquBR0zT3FtljAH8GbgDiATWAfeYprmzyphA4F/AdUAw8ANwt2max6qMiQSeBy637/oS+JVpmtULMOq2tU04SD/vy+aWdzdQaTOZe34Cj07r57Lf9eW2dO77cAu+Pgaf3DmWYd0iXfa7vIXCMgs3vLmO7cfyiQsP4pM7x9I1quE+PTabyaqDJ/hoQypLdmZgsTq/J12jgrmwXywX9YtlZM+oVo3GZReWc+Ob69ibWUjH0ADev200feOafv5WVNrIyC8jt6SCnJIKcosryC2x2J/tj2LLqe2Scishgb6EBvoRGuRPqH27XaAfYfbn0CA/QgP96BYVwoRzos/aVE1FURRFUdoernSQFgEfARsAP+BJYCDQ3zTNYvuYR4DfAzcD+4A/AOcDfUzTLLSPeQWYbh9zEngGiAKGm6ZptY/5DuiCOFoArwNHTNOc3khbvd5BSk7L55rX1lBcYeWKIZ349+whLqkZqcoDH23hi63pdO8Qwrf3jW+VxpmLko+zcGs6cRFBdI0MoVtUCF2jQugaFUxIgOcac5ZZrNz8znrWHsohMsSfT+4cS6+YsCa/T05xBUt2ZvD9rkxWHjhBeZU0tvAgPyb3jeHC/rFMOCe6RWIFGfllXP/mWg5lFxMTFsgHt4/R+h5FURRFUZRWwG0pdoZhRANZwATTNH+2R4/SgedM0/ynfUwgkIlEml4zDCMCyAZuMk3zY/uYTkAqMM00zcWGYfQDdgFjTNNcZx8zBlgD9K0asarHNq92kFJzSpjx8mpOFJVzbmIH3p0zqklKdc0lv9TCtP+sIC2vlGtHduUfMwe16P2qRsBqo2NogDhLpxynYLpEhhAW5EdIgC9B/r6EBPgR7O9LkL9Pq0UlLFYbd72/iaW7swgN9OPD28cwsEvL64hKKipZsf8ES3dl8sOeLHKKK0695u9rMCahAxf1j2VsQgcSo0Mb7fAeyy3h+jfWkZJTQuf2wcy7bTQ9vEhNT1EURVEUpS3jTgepF7AfGGiaZrJhGAnAQWCYaZpbqoxbCOSZpvlLwzAmIyl1UaZp5lYZsw34wjTNPxuGcQvwrGma7Wv8vjzgQdM032mEbV7rIOUUVzDrldUcOlFM37gw5t85lnA3yiSvPXSS695Yi2nC6zcNZ0pSXLPeZ1d6AbNfW0NReSUX9I0hMSaU1JwSUnNLSDlZQkFZ02tggv19qzhO8ugbF86UpFjG9erYKFU5m83kwflbWbg1nUA/H/53yyhGJ3Rozp9YL1abyZaUXL7flcn3uzM5lF1c7fWIYH+Gd49kePdIRnSPZHDX9rXaf/RkMde/sY60vFK6RYXwwe2j6RLZcBqgoiiKoiiK0jia4iA1O//JHi16Flhpmmayfbdjpp1ZY3gm0L3KmIqqzlGVMXFVxmTV8muzqoypaU8gEFhlV9NzqdxAaYWV2/67gUMniuncPpj/3jLKrc4RwJiEDtxxfgKvLT/E7z7bwZBu7YkJq120oC7S80qZ8+56isorGZvQgVduHH5aBCy/xEJqbonTacopITWnlLS8UkrKKymxWCmpsFZTXiu1WCm1WKu9z7Zj+Xy8MZWQAF8mnBPNlKRYJveJJSLk9M/NNE3+9GUyC7em4+dj8OqNw13iHAH4+hiM6BHFiB5RPDqtHwezi1i6K5Nle7PZkppLfqmFH/dk8eMeOZX9fQ0GdI5gRPdIhnePYkSPSPJLLVz/xloyC8pJ6NiOebePJj4i2CX2KoqiKIqiKA3TkgKRF4FBwHm1vFYzLGXUsq8mNcfUNr6+93kUEYfwWqw2k/s+2sLmFJFufnfOSGLrUFNzNb++6Bx+3neC3ccLeGTBdt6+eWSj09sK7P15MgvK6R0Tyqs3ne4cAUSE+BMREtGgApvVZopjVCGPEkvlqe2CMgtrDp5kya5MjueX8V1yBt8lZ+DrYzAmIYop/eO4qH8sndqLU/H04r28vzYFw4B/XzOESX1jmv7hNJPE6FASJ4Qyd0IiFquNXekFbDyay8YjOWw8mkt2YTlbUvLYkpLHGysOAxDg60OF1UbvmFDm3T66yY6qoiiKoiiK0ro0K8XOMIwXgCuB803TPFxlv8dS7OqIIB3zlhQ70zT548Jk3l+bQoCfD+/fOppRPaM8atO+zEIue2ElFZU2/nrlAG4a073BYyoqbcx5dz2rDpwkJiyQz+8ZR+f2ro94mKZJcloBS3ZlsGRnJnszC6u9PrBzBAnR7Vi4NR2Av80YyPWju7ncrsZimiapOaVsPJrDhiO5bDqaw77MIgD6xYfz/q2j6BAa2MC7KIqiKIqiKM3BlSp2BvACMAOYaJrm/lpeTwf+bZrmU/Z9AUhqXE2RhhtN05xvHxMPHON0kYbRpmmut48ZDayljYo0VG0E+/L1w7iklRrBtpS3Vx7mL1/vIsjfh2/uG09idN2qaaZp8tAn2/hscxohAb7Mnzu2Uf15XMHRk8V8vyuTJTsz2XA0h6qn8aOX9GXuhESP2NUU8kss7M4oYFCXCI+q/SmKoiiKopzpuNJBehm4HrgCqOqk5JumWWof8wiS7jYHEXB4DJjI6TLflyEy3zlIT6QOnC7z3QmYa/8drwNH26LM94JNx/iNvRHs49P7c3MrN4JtCTabyS/fWc+K/ScY2DmCz+4+t86+Ps8u2cvzPx7A18fgzV+OYFIf96Wv1ceJonJ+3J3F8n3ZDOseya3nec/nqyiKoiiKongeVzpIdQ2eY5rmu/Yxjkaxc6neKNYh5IBhGEHA04izVbVRbGqVMVGc3ij23rbWKNY0Te6et5nvkjOYOyGBRy9xXSPY5pKRX8bU534mv9TCvZN68ZupfU4b8/GGFB75dAcAf79qINeN8p70NUVRFEVRFEWpD7fJfHvHHxx5AAAgAElEQVQz3uIgAVRabXy+JY2Zw7q4vBFsc/l2x3HunrcZHwPmzx3LiB7O+qjl9l5HVptZpwOlKIqiKIqiKN5KUxwk13cmVfDz9eHqEV291jkCmDYwnquGdcZmwoPzt1JYZgFgZ3o+d7+/CavN5KqhnXloyjketlRRFEVRFEVRXIc6SMop/u/yJLpEBpOaU8pfvtpFWl4pc97ZQHGFlbEJHfjHzEGNlgJXFEVRFEVRlLaIOkjKKcKC/Hl29hAMAz7ZdIyrXl5FVmE558TW3etIURRFURRFacPkH4Mlf4TiE562xGvQGa9SjVE9o7jLLpGdWVBOTFgg78wZRUSwv4ctUxRFURRFUVqdn/4Gq5+H5U952hKvQR0k5TQeuPAczk3sQHRYIG/fPNItjWAVRVEURVEUD5CyRp4PLPWsHV6EdqdUTiPAz4d5t42m0mbW2RNJURRFURRFaeMUZUPOIdnOOQi5RyCyhyct8gp09qvUimEY6hwpiqIoiqKcyRxbX/3ngz96xg4vQ2fAiqIoiqIoinI2krpOnn0D5PnAD56zxYtQB0lRFEVRFEVRWotjm6Ci2NNWNI5UewRp2C/k+fDPYK30nD1egjpIiqIoiqIoitIa7PoS3pwMX93vaUsaprIC0jbL9qg7IDgSygsgbaNn7fIC1EFSFEVRFEVRlNZg95fyvPMLKD7pWVsaImM7WMshOAo6ngMJk2S/ptmpg6QoiqIoZxy7FsLGdzxthaK0nJMHIfeop61oHDYbHFpm37ZA8gKPmtMgjvqjrqPBMKDXBfKzCjWog6QoiqIo9ZKXCuteh8pyT1vSOIqy4JM58PUDkLbJ09YoSvMpyoJXx8Mbk6GixNPWNEzWTijOdv68dZ7nbGkMpxykUfLsiCClb4aSHM/Y5CWog6QoiqIo9fHlvfDdb+HHJzxtSePYsQBMq2xv+9iztihKS0j+FCzFUHIC9i3ytDUN44i8dBkJPv5wfBtk7vSsTXVhmk6Bhq6j5TmiM0T3A7NKJOwsRR0kRVEURamLvBQ4tFy2178BhRmetacxbP/IuZ28AKwWz9miKC1h+3zndvKnnrOjsRz8SZ4HzIRzpsr21g88Z0995KdC4XHw8YNOQ537Nc0OUAdJURRFUepm28eAKduVpfDzvzxqToNk7ZZVax9/COkAJSfhwFJPW9UwZQXw2VyJfikKSO1R+mbnz/u/h7J8z9nTEJYySFkj2wmTYMgNsr19vnfKZjuiR3GDICDEuT/RnmZ38EeJMp2lqIOkKIqiKLVhms4agqE3yvOmd727YHybPXrUewoMuqb6Pm9m/esS+fr2N20n4mWakLUHbFZPW3JmsuMTeU68ADr2EbW13V971qb6SFkDlWUQFg/RfaD3RRDSEYqz4KAXqsJVFWioSvdx4BcEBWmQvdf9dnkJ6iApiqIoSm2krIHcwxAQCpc8BQkTRZlq+T89bVnt2KzOSeXga+UBsPc7KM3znF0NYa10Ku6V5jpTGr2dLe/Dy6Ph+z952pIzD9N0ptcNmg0DZ8m2N6fZHbKn1yVMEkU4X3+xHbxTrKGmQIMD/2Dofq5sn8VpduogKYqiKEptOCY1SVdCQDuYbJ8Ib/sQsvd5zq66OLJCVn2D2kv9Q9wgKbi2lsOuLzxtXd3sWwQFx5w/7/zMc7Y0hQ1v2J/fOusVv1qd9M2QcxD8gqHvpVLTAyIcUHzCo6bVicOZcKSoAQy5Xp73fudd50h5EWQky3bNCBJA4mR59sbIl5tQB0lRFEVRalJRLI0ewVlL0GU49JkmCk/L/uY52+rCoViXNAP8AmUVe/A11V/zRta/Ls/d7KvWu7/2fkn1zF1S6wVSm7ZJe061KtvtkdC+0yAwDDokQvwQUWf0Rme/KBsydsh2wkTn/riBEDsQrBXeFf1K3yyfZXgXUa6rSaJdqOHIKqmtOgtRB0lRFKWtUpAOz/SD92ZIg0Kl9dj9FVQUQWRP6DbWuX/S7wEDdn7unCB7AxXF0hwWYPB1zv0DZwMGpKyG3COesKx+svfB4eVg+MCVL0NoHJTne39qj0MpMDhKnte9DpUVnrPnTMJa6XQmBs527nek2e3wIkfDwWF7WmjsQAiNqf6aI4rkTWp2daXXOYjpJ7VUlaVO4YmzDHWQFEVR2io//AUK02Uy2VbSkjKS4blBsPI5T1tSP470uiE3SCTGQdwAZ7rPj0+636662PON9IuJ7Fl90hPRGXqeL9tVJZO9hQ1vyvM5F0NUT0lnBEj24vPZZnV+lpf+S5y6ogxxmr2drN2w8W3vXlA58rMIGwRHOSWnAZKukueU1ZB/rPZjPYVD3jtx4umvDbxapLTTN4uohzdQs/9RTQzjrE+zUwdJURSlLZK2WWphHCz9P+9PhTBN+Pa3kHcUlv0dirI8bVHt5B6Fwz8DhlPooCqTHgPDF/YvhpR1bjevVhxKdYOuqe7QgfNv2PaRd8n2lhc6V9VH3S7Pjknw3m/BUuoZuxri8HLpHxMcCX0vc9q+5kXv+nxrYrPCh9fB1w/C1vc9bU3dONLrkq4UoQMHEZ2daZje5IyaZnWBhpqERouqJMA2L4gi2WxVHKQ6IkjgdJAOeHk010Wog6QoitLWME1Y/Jhs978CwjpBfoqzlsNb2fO1rP6CyOGuecmz9tSFw9noeT6073r66x0SYai9LunHv3p+UlyY4ZygOWqOqtJvOviHSNH7sY3uta0+tn8MFYXQoRf0nCj7uoyEiK6S3rj/e4+aVyeO82PATKn1GnGLiAlkbIejqzxrW33sWyyqjCBRJG/EUirprVA9vc7BQHv01pv6ZZ3YJ+IovoFO9beaONLsts/3vCz8yf1QlifnbNzAusclTAIMyNrZNhpktzLqICmK4hqOb4eF957VfRRcxq6FkhfuFwxT/w4X/FH2//wv71JKqkplhVMO2VHTs+FN77PXZqueXlcX5z8MvgGiHHdomVtMq5Mdn4hwRNfREJVw+uuBYRLpAGftjKcxTVhvT68beRv42KcjPj7ONDtvTBstL3RO4B21XiFRMMS+7a1OP8Dal53b6VskCu1t7P1OnOaIbrWnf/W/UqK3x7dKI1lvwJFe132sSGTXRu+pkjJYeNw53lM46o86D68eoatJuw7QaYhse3tNoAtQB8nbMM221724rMApF6koAHmp8P5VsOU9+OAamVR4O6YJP/wV/nu52O+tWMqcjsa4+yTtZNA1shJYng/Ln/KsfXWx4U3IOQTtYuD6+RA7QKIE3hb1SlkjKYABYRJ5qYv2XSVyAJ6PIjkU6gbVEj1y4IgsJX/qHWICR1ZC9m7wb1ddVAKcaXb7Fov4hDex+yuwlEjUq/Nw5/4xd8vz3u+8Z+JelYxkceYNX+gxXvZ5YxTJ0cdr4Cyn01yVdh2dKnHeogpXX3qdA78AqUUCz/dEakigoSoONbsDZ18dkjpI3sb2+aJINW+WdyoO1caCW+DVcbD+DU9b0ngOLYejZ6cyi8upKIGProfibPk59zB885BnbWoMW+fBin9JfcF7M7y318a6V2UCHxYP4+6XfT6+MOUJ2d7whvdN0EpynM1VJ/8egsJhvP2cWPuKdznQjpqYATMgIKT+seMfktS1tE1SM+MJMpIhc4dEs5Jm1D2u50QREyjNhf1L3GZenTh6CA2aDcHtq7/WaShE9hBHZN8it5tWL466v8HXVq/16thbogSYck57G+vsNvW/3K7EiDgY3tRAuCTHmVY5qJb0Ogen1OwWeH4x2WoRZx+q9z+qDUea3Z5vPPu5NyTQUBWHSMahn7xb2MMFqIPkbZTmyo3uwFJ4eSysel4kL72VkwfhgP2Ctuh3cHS1Z+1pDAd/gv9dAe9eKhObtkLaJu9LR6qJacLCuyUXP6QDXPWmyPdu/9iZt++NZO8T8QCQtLWT++H9mRId9SaKsiWNDuCCP0nzUgcJE6UQ2FYJSx/3gHH18PO/JOc9pj8MvUn29b8COvSW/Rve8qx9DsqLnMXf9aXXOQiNgdF3yvaPT3pmAuFImTtnqqR61YWvn3Ni6ek0u/w06XUEToGDqhiGM4rkTWp2ealweIVs1xatG2uPIm2dJ/dyb6Eo2yl8MOZu6DZGvouWEu9SNty1EGwWkcqO6Vf3uL6XSr3Pib2Q6eHslWMbJBIe0lHsro/4wfK5W8s9lz5akiM1UyD1fg3RZaRE00tOQoYXtTVwA+ogeRtj7oS7VkP38+Ti9f0f4Y1J3pkrDJJCBSJhaauE+b+U3izeSvEJ+HwuYEqTtM/mSsTD21n3OrwxGV4Z573KXyARmJ2fy/lwzfsw6GqY+Ki89vWvvS+yAZKytmCOfN96ToC5y8W5O75VImHepAz305OSnx8/BAbVoq520V/EId39JaSsdb99tXHyoDONbspfJdoF8jz+17K95kXvUCzb/aVIZUclNG51FSTNMTBCCpndPemxWZ0T39rOh5o41Oz2LvLsYsumd+X6230cxCbVPmaA3UHa/733LFTsmA+YkqLWvtvpr/ecIKmjlhL5G72FTe/IpLzTMJnwGoYzPXTjW56Pwjioml5XH0ER0Psi2fZ0mp2jNidhYu0pgVUxjCo9kT6sf6yrOLZBnjv0lhqjhvD1d7YJOMvS7NRB8kY69oabv4bLX4Sg9rIa/+YFsOgxWeH0FqwWZzrK5S9CTJL0Lpj/C+/sgm6a8MVdUJQJHc+RFKWT+71vtb0mB36Q6BxIz5sFt3hnVHHPN/CjPc3r0mecaj7jH7I7/MXiiHjbubHkD7IKGdIRrnodovvAjZ/KqtmRFd7zeWfuhM3/le2L/177zTimHwz7hWwv/r13THyWPi6rwr0ulEdVBl4tE83ibNj8P4+YVw3H9WzI9adLZddFcCSM+5Vs//SkXBfdxaFl0n8nONIpI1wfcQNlAm+zeE4mubLC6TyMvK3ucbEDZBJnLZe6Hk9jms4oeG3S7yDnjKMWad3r7j0X6qKywtlraszdzvN60GxJD83e4x2NQPNS7QqARsMOEjjHJH/q2evcqf5HDaTXORg4W+rAjq2HE/tdZ1ddnKo/auQCEEAvRz8kD4tLuBl1kLwVw4BhN8G9G2DALFEoWvsSvDxGCle9gf1LxNloFy1yp9e+Lys7xzbAd4942rrTWfeq2OwbCLPegStelP3rX/NehZbsffDJHFltPecSCAiVSfsP/+dpy6qTuRM+u0O2R82F4Tc7X/PxFccjOBKOb5Pmpt7C7q+ctRAzXoOwONnuNBSu+1DOlb3fwFf3efYmbJp2h8cG/S6vW0oWYOJjUviettHzvUKOrpGojOHjrJGqiq8/jHtAtlf9x7PiAblH5LuF0bhoTFVG3yUOds4hp5PlDrbbxRkGzJQi8MbgSA1zHOtudn8pC2mhcfWLYBiGM4rkDWp26ZslNckvWL6DdTFwlgiRFKbDzi/cZ19d7Pxc7tNh8ZLW6iAowulkeINYQ7Jdtrv7OIjo0vD43lPlfpiX4oyKuJvSXDkvoH6BhqqExToXitx5rXDQmP5HNXH0Q0pd6131oi5GHSRvJzQGZr0FN3wqK635qfDBbPjkZijM9KxtjhXfwdfJzTkqAWa+BRgS0veGFWEHx7c5lb+mPglxA+Qi5VjB/OIe78oZB0mB+fAaUSbrOgZm/xeusEvIrn7eO26+AMUn4cNrJQ+75wSY+rfTx0R0hivsErNrXvSO/iZ5qSJDDnDur6B3jehGz/Fw9Tuy2rd1nkSaPOUk7V8iRbK+AZJGVx9hsXCe3elY+rjnInY2GyyxF4MP+0XdNQVDbpDJckFa9ca37sYRHUiYUHvvo/oIDHWmCy5/yj1pmeVFTrnppjh0A68WhzV1nWdSXh1iPiPm1C8xDM46pAM/eP767Dg/+k0XkZG68At01lWtfcnzCytr7feMkbed7kQ70ux2LfS8KM2pVNGrGzc+IAT6TJNtT6XZHV4hi1Ydz5F7XGM51RPpY/f2RLJanHXXTYkgRSVAZE8po3DU4J0FqIPUVuh9Idy9ViZyho+sCr00UlIVPFEYnJ/mVEJypPSA5AU7FHK+eQiOeYEIQnmRPU2qAvpcWj2t46K/QFSirPY5ivS9AasFPvmlrEhHdJN6Hr9A6Q9yrj2dZ+E9nu8xZLVISmVeilxAr35XisFro+80GGWPMn1+p2cbz1kr4dPbRCCg0zCY/Kfax/W91BlpXPMirHzWfTY6sFokegQiCBDVs+Fjxt4jK8Z5Rz2nLpn8qdyMA0Kd14Ta8A+SOh6Qz9cT6Yw2W5X0uhub9x4jboXwzlBwTBaIXI1DbjoqEbqMaPxx4fFOmWR3F+gf3y6r0D5+1aPMdRHTV4rabRanqIMnqKxwNiatK72uKiNuAb8g6TXkyfS1lLWyOOgXBMPnnP56p6Fy/bNWwJb33W+fg8ydUsPn4189ytUQjgjYzs8903y1MfLetdHnEimfKEgT1VR3kZks14ygCHHqmoJDzc5bs21cgDpIbYmAdpKmcvtPUqRdlg9f3S+F5O6eVGz9QFZOuo+TmqmqjH9IHBFrBcy/SRR0PMmiR+DkAQjrJJPdqrUFAe0k/cvwlQJRb1BMMk347mE4/LOkSl33IYRGO1+/4HEpEq4ogo9v9GzI+7tH4OhKqde57sP6VbQALvqr1BaU2MUyPCUbuvwfMlELDIdZb9efnjTkepjypGz/8BfY6IbJb1U2vi21ciEd4fzfNO6YgHYw+Q+y/fNT7i/It5Q600DPe0Ai4fUx/GYRxsg94pl0qpTV4kwGhotT3Bz8g+B8+yLLimdc379ne5V6mMbWSzlwRJy2f+TeCIcjnbXf5c501oZI8oI0u/1LoDRHIp0JExse366jM5XRk41jHdLeg2bXXZDviCJtesdz12OHOEPvKZKK3VgSJomjUZTplNp2Jw5nwZGC1lj8Ap3OnTvFGhzpdV1GNSwoURPH33jw7BFqUAepLdJpCNz2g6Qy+QXBvu9g8aPu+/02G2yxp89VjR458PGBGa9KgW1BmqQDeqpYdccC+8qYATPfqH0C32WEsyfL1w9CwXG3mnga69+w54QbMPNNSQesiq+fTOrDOklO/Bd3eyaNY8ObooDk+Gzrk2V14B8ktvuHSIH5qudcbeXpHFrulMqe/lzjIjLn3lv9HHFXbU9pLiz7u2xPekxW/hrL4OvEGS3Ld/697mLtK5IOHN4ZxtzT8PiAds7i9hXPuH+itsXeuDGpEb2P6mPojRJJLc527cQ4P03OY6i/X0xd9LtMFl9yjziLtl1Naa4zjao2ae+6cNQhHVruuTQwR+rnoNlOFcaGcJzPe76RTAB3k5fiTMEcfVfd4wbMFBXG3CPOiIg7sdmc0bnGptc58AtwRpwcNUzuIuewfGY+ftBjXNOPd6TZ7f5KrtHuoDkCDQ56jJe/NeeQ/O1nAV7vIBmGcbdhGIcNwygzDGOTYRjjPW2TV+DrJ2k0M+3qNOtfd18vkcPL5eIbGFF3sWpQOFw7T9Jrjq501v+4k9wjMpkFWdntcV7dYyc8bI/K5Unqmqfyxqsq1l34uKSl1UZojNQk+fhL0fPqF9xloXB4hVOI44I/ScpAY4nuA5fYm4b++ASkurHAtviEXUzClH48A2Y2/tjJf7SnqZjw6e3ukTxd/pRMLKP7wbBfNu1YH1+R1Qa5PrhrklaUDSvsqYgX/LnxDseo2+Wakr0H9rgxnaq8SGowoHG9j+rD179K5O5pyNzVsverix2fACZ0O1caqjaVgHbSMBTc159s6wdQWSpOe7exjT+uQyLEDRKhmt1fus6+uijJcQojDb6u8cfF9LUX45uw9lWXmFYv61+XLI+eEyC2f93jAkJgiP3v8oRYQ+paWUwJCINzLm768Y5r+K4v3Svy4nAmu4yCwLCmH99pGHTsI98Jd9UTN0egwUFQuNOxOkvS7LzaQTIM4xrgOeBJYCiwAvjOMIxaGhCcpfSbLhM3kBqaQ27IZ3VIDQ+6uv7JT3QfiSQBrH3ZuXroDqwWqTEpL5Av9YQGVPV8/SXVzjdQQsgbPdC4sqpi3eDrYNz99Y/vOkrkngGW/llS8txB7hGpO7JVSsH3eQ82/T2G3iSpM6YVPr3FPStoNpvUPhVlyI3J4aQ1FsMQ+fKkq6Qm4uMbXevcnTjg7B809cm6a7vqI3GyTNJsFljqJuXDZX+XXk2dhsr50ViCImC0vUbt56fdt0ixa6FI0Hfo1byJQ00GzBSFLWuFpJG29qStmtx0Lc1KG4sjBWznZ64XlbDZnLVwI29rekrgAA82jU3+VL4/cYPqdzRqY6w9errlfSjNa33b6qK8CDbZszwckaz6cNQn7f1OopPuxFEH1/9y8A9u+vE9zpPUx7I8907cmyrvXZOqPZHcIU6TnyaOqOEDnYc37z0cf6s6SF7Br4G3TNN80zTN3aZpPgCkAvXEi89Cxj8k2vqmVSaurlQmKj7pLJZtzIp2v+kw3l438eWvpEjXHSz7u0h/BkZIlK0xk8voPhK1AVjyR/cqPNVUrJv+n8ZNIkbeJs6UaRPnytU3t+KT8OF1ko/faShc/kLTJzsgx0x/TpQZ81LgqwdcPyFe+zIc+F6c4KvfkVX0puLjK3LgiZOl2HXeLDiyqvVtBWkSbauUvHxHgWxzcDSP3fWFcwXRVWTvdfa4mfJk0/PcR98lqV8Z2+HA0lY3r1aa0/uoPgwDLn9eaikytouz15pkbIfs3XIe97+y+e/T83xJ0y3Lh/0ubh1x8EfIPSzX4+akBCbNkOejq9yv3nrKGW1C9MhBwiQRmbAUOxcW3cG2D+VeEpXQuP5YMX2lV51pdTZ/dweVFXJdgqYtplTFx9d5frgrzc5mdYorNFWgoSqDrpFrc8oa1883jtmv/bEDRHWzOSTa70OHlntHjy8X47UOkmEYAcBwYEmNl5YApzUBMQwj0DCMcMcDaEbMs41iGDJR7TxCVlE+uMZ1q1XbP5LVtPghED+occdMekxWsStLZdW9sQXjNqtMyJsqQHFouTPF5/L/1N7xvC5G3ykTB0uJpGK5Q/yiLsW6xmAYcOmzEDtQhA9a2qS3skIu1Ad/lHSL7/8sNWSvT4R/9oSnEyBrF4TGwrUfNG/Fz0FQBMx8WwQydn7mWhWltM3OhsAX/w1ik5r/Xn4B8j/qMlK+b+9Ok1TO1oyCHVoOe7+Vz6a2/kFNITbJmTrm6uaxS/4ok6y+lzUvL79dB5F/BvdEkXIOSwpwc3of1UdYHFz2b9le8Uzrqnlus/cv6nMJBLdv/vv4+DprPra5uCeSIxI69IbmLUxE9pD7m2lzpkO6gxP7pZ+Y4du45qU18UTjWJtNev6BLDg0dpHC8b3b9F/3iT4dtMu3h8bKfbe5ONLs9nwLFSWtY1t9pG+R631QhCwUNpfweKf4gatTXU+l1zWj/shB/BAIjpIMgWMbW8cuL8ZrHSSgI+AL1FwuygRqk795FMiv8jjmUuu8Df8gmbCGdxbFqwVzWv8iZ5py8YTaxRnqwsdXojiRPUQp6tNbJZJ0YKkouKz6j0zcPrsD/nclvDIOnu4Nf+0oE/J/9pCoxbrXJe2ovklT8UlnjcmwXzpXlhptq4/06wkMlxvjyn837fim0pBiXWMICIFr3pOLddpGWPxY444rzZUbyuLfw7uXwb8HwJOx8MIweG+GTPpXPSeCBOlbJGoEUoR+7YcQ3qlpdtZG15Ew2S4B/d3DkrLW2gX6ZQUi826zSERzxK0tf8+AdnDjZ84o6sa34aXRUpDdUiylzv/hyFslstlSJv1ehDGOrXfdBPPgTxKJ8PGDC1uQznfuryQ6krrO9cpUjklJ4qSm9TFpDEkz7E2+rZJqZylt+XtaK52KX42Rm24Ih1O4f7FcO11B7hFnS4iqLRaaiieaxjrOj14XNqzEWBcDr5Zm6gXHGvfds1lFmnvdayIe0lSn6sBSUW0NDHfWFjWGftNFKbMwHfYtatrvbC6O9LoBMxsvflEbXUZA++4SqXOH7Y70up7nNy/1uSqONLst70lqpKtoiUCDAx+fKml2Z76aXQv/s26h5mzYqGUfwN+Bqk1KwjjbnKSwWJlgv32xRAAWPwbTnmq9909dDyf2ykSrqeHw4Ei4Zh68dZHY1pQc1opCWU3f+638HNFVpFYTJ0HPiU75UtOEhXc7a0wu/kfTbHTQvitMe1omNcv/IT2oWrJKVB8NKdY1lqiecNWb8MHVoi7XecTpN8eiLElRObpaHpk7qfWr5BcMkd3lhhPZQ7Yje9h/7t68gtT6GPegREwOL4e3LpQbe9wgUWuMHyyrVh0SG38DrSiBnIOy+nvyoEwYcg/LedPclMDaCAqXVKqBs0RuP+eQSO73vwIueVq+j02hKEv+dxvehJKT4vBObCV1yvB4OPc+OZ+//6Oc483NQ68Nm1Ua6YJMgjv2av57hcXBsJvkc/j5aWnY6wqq9T5qoThDXUx7Wr5zJ/dLDdglzbwmOTj0ExRniSR6rwsbHt8Qsf3lu5axXRyPpqjLNZYNbwGmrJR3SGz++/S/Uu5pKWsklbi1Hdqa2GzSyBNa5oz6B8l3YtnfRdlwwMzq16DKcolwp6yGo2tkIlte4Hx9wxuS1tvYhRKHtPewXzTtWu0XKCqMq56Te1K/yxp/bHMoL5SaJ2h+ep0Dw5DPdeWzUjPmcKZdRXP7H9VGn0slcyQ/Ra7Nl7lgUdZSKk43tLzOMvEC+YwP/OAUpDlD8WYH6QRg5fRoUQynR5UwTbMcOJVbZLTWJKitET9YLqbzb4L1r0lusaPPQUvZbC/6TJpRfyfxuogbAFe+IrVIfkGyItcu2vl8ajtGoijtYkSWO3OnXJAO/iQ3j/xUWW3Z8h5gyN+cOEnSL/YtktXnWW+1TK530DUSDdj9JXw2F+Yub1w6maVUlNJKTkrKW0mObJ/ad9K+z/5zsb1H1IWP161Y11jOmQITfieT4K/tvWdKTsoq/NHVMkmrSVzoHnEAACAASURBVIfe0P1c6DZGGk5G9pDj3Pn98fERgYwv7pbJZHmBpD0drRI9CAiFuIH21M7B4jz5BYkDdHK/rJg6HKKCWtZFDF+Y+VbTemw0lp7nw12rYfk/YdXzskp8aJnU4Ay9seHPMnOXdLvfPl8K+0FumJc+03BfqaZw7q/kO5yXAm9MlhvdhIflf99cTFO+m6tflCaEQRENC6I0hnH3Sy3T4eUSVew6suXvWZOjK2VS0pLeRw0REgWXvwjzZsrEtc8lkDCh+e/niGgMmCXCMq3B4GvFQdr2Ues7SJZSZ02Lo0l0c4noLOp3KWukbsUhgOAqjq6Se01gRNNUOmtjxK2S9p2+2al+6XCI0jaBtUZadECYnPNpmyR6/9r5ogg5+s76U+aydsvio+HTvP/l8Jslo+PgD5J+2pgWCM1l99eSdt+hV+ssQDocpP1LpMSgJemn9VFe5ExXa65AQ1X8g6Q/4/8utzum05veV6kh0rdIPWtoXNNKDmrDYVv6FpnLtOY9ysvwWgfJNM0KwzA2ARcBVZuOXAS4MQm5DdL/cpj0B/jpCVG269CrZfm9IGlKjtSGpqTX1STpSnk0hc7D5DH+IWm+eHSN02HK2gnHt8rDwZQnZDLdEgwDLntOOpGf2CvS232ni2NTnC0OT/GJ03+2NKM55IhbG1asaywTHpGb8P4l8H7NVTRD6lG6jxOnqPu5zU8baW3C4uCmzySdJHuvrHYd3yrPGTukKW7KmsZ3pQ+OFOevQy+JZvS6qPE1c83BP1ic3KQZdjGSbfDlvbBjvghuRCVUH2+aMpFZ81L1VIXOI6TnUt/pLU/dqElgKNzyHSz7hzhjB3+QR4/xct70OK/xjnFFsUyo170m3w8HU55onRtm+26S/rX1fVjxL7i+jhoZ05S03ePbnI/8Y7JYYpqA6Xx2jHfsc9SMDbiqZbV0DdH7QlEJ2/SOtBC4a1XT+lk5OLzCKX/eEvW6mgyYJbVjaRtl0tNa0XKrRe4/pbni8DdGLKAhkq6Sa0DyZ653kBzOaNKVLT8/QqNFnGLLe+Is16RdtDh/juty7ACJmBekw8J75Xu6+FHJorjiJYnk14aj9qjPtObJv0f1FEGYA0vlfL3oL40/1maT40pzJMskIESe/UMkJdk/RD7HgHbgGyDXRhCBqdZYkItNgui+9jYB30i9mys4ukrStdt3P/263lwSJsDI2yVauPBXcPfq5l0j6uJUet2oln/W4fEiPJK1S+ZhTWmV0cYwTE/1e2kEdpnv94A7gTXAHcDtQJJpmkcbODYcyM/Pzyc8vBnRjraOaYrMdfIC6TR9+48tS2/Y+LbUpHTsA/esc2+EoT4KM2S1/uBPsiLX83xZsW0t+/Ythg+aqLrk4y+d1EM6yGQxxLHdwb4/yvlzaGzrOyklOfD2VImmxA+WG26P8yT3uC2u9tis0hD3+DZItzvDx7fLiliHRPvD4QzZnz35d1orRTHvp7/JCqlfMEx6VBqm2uw1JGteEiUykNXeftNh7L2tIzPdGHIOSX3d1g/EJpAJ2vm/lRXCur4/uUckLXTLe04HIyBUUtRG3dGy1LqanDgAL40UZ2fuCpkAnTzodJ4ztst2S8QxDB+4/SeJSLqS8iJ4dZx8fkNugCtfbvyxpglrXhTBFNMqCxw3f9O61+APr5PJd0CYtGZoaXpVaZ4IzxxaBhhw1RtNbwJaG4WZ8GxfOSfu3163o9BSKkrgX71lYWbOIujehL5NdZG9F14dL9Gi9t3tkfux8v/skFj3/9M05f675A8iHhQQJkIzQ2+qfkxJDjzbDyrL4OZvmyeSAuJcfHS93J9+vbtxgkFH18CiR5xpXA1h+Mq5DPCrzS2bm1Rl+dOyMJw4GW5yUTPv7x4RR3T4HFFibS0qiuGVc+UaMfRGcYRbC8f3e8qTsgDXUhb/Xq5J3cdJ9Ku1HEU3UFBQQEREBECEaZoF9Y31agcJpFEs8DAQDyQDD5qm2WDDl7PeQQJJb3j3UgnTdzwHbv2++WHn1yfK6mJrfcHaEj8+IWISwZHi4LTrKE6PY7tddPWfA8M970BaLfJoSZqhN+MQcmiqjLQ7yTkktUmO/lQxSVI/4kirDAiVaOzouc1b7W0N8lKl5mDz/5zpfZ2Hw/kPwzlT5Tw2TTiyQqJFe7+VySnITXHUXCkybk7KbWNYcIvku4fGipNRW4TWN0BWNOMHy6NDoghFYNi/h/bvomO76r7QGNdNsmtydA28cwlgishJY1Jqywsl6uQo7h90rdQotPb3uihbHJqjdsn68Q+JsEdzCudzj8C82fZ61XaS7tzSFLWqvHuZnI8X/h+c90DrvW9Vtn8Cn90mjsz921rveu5ow9Cc+qmcQ/D5XdJYFaSp6vTnnbWOK56FH/5Pasrm/tx8m62V8J9BUJAmacn1qfflpUoPvuRP5efAcLl+WErlu1pRIk6dpUS2bTUEJxImwS9asUnqyYMiMmTYpb/bd5VodPtu8r+M6CopbS3hxVFybs/+n9SbtiZHV8M70wATrp8v1+CWYprwdKKk29+6tHXSldM2wZsXiZNr+MjnMO4B1y80tQJnlIPUXNRBslOYIfUGBWlSc3D9/Kan7hzfDq+Nl8jIQ3vECVAUpWFME7bOk+JyR6QjvAuMuVOco9ZMo2gJBcdh9fOw8R2JeoGkqSbNgB2fSiqrg8TJUgvR6yLXO6iZO0XV0pEi5xdsr0Ub7HxE9xXp9bbAkj/K59wuGu5eW/+1NHsffHyDRE99/KUpdHOarDYWqwW+/5NEP0HuFzPfbFo0NnW9rFaXnJAeS9d/JP+j1sSRzRA/WBwBV/DeVZLWNuF3Ev31FmxWWP0C/PSkLGgER8Flz4qs/nODRIHuylebpl5XG8v+Ccv+JhGCOd+e/npFidQqrfqP/XphyPVs8h/rV2G1WpzOUmWppF62dirx2xfXn4odGlvFaeomi1PnXCxp3g2Rnwb/7i9OwcOHXFPTuugxqUkNjYO717Q8G8LhNPoGwqOpjW8h0hApa6WFgUOhEsThPe8B6DnB84vEdaAOEuogVSN9q1w0KkslDeaSp5p28n77W+lj0f9KmO3GZneKcqZQmCnfodj+0O+K1p8UtBZFWZI6sf7N6tEa/xBplDl6buvIjjeFwyukFiN+sKRQtkQO2NNYyuCNSZK/3286zH6v9mvxroUiWlJRBGHxslrtrvTL7Z9IHV1lqay6X/N+4+r3diwQm63lEsW4/uPWaQVQk+KTkv5mWutOz6qsEKc+fYvzkZ9mT2uOqS4GFBpbXRjItMHzQ+T5vi3emT6UuVNUVjN2yM+dhsrf2C4GHkxu+SS4IF3aPphWceRj+sl+05Ro0fd/dorhdDtX1Blb2xFuLqV5Iu6SlyqCNKceR+X7VBuGr0Rrhv1CFn7quj5vmSdKuZ2HS9mCK7CUSirmyf0iFnXV6y17v60fwBd3SQP6W13QEDojWRzl5E+daZPxQ+C8B+Ua52XXa3WQUAfpNHYtlCaiICuDV7zYuJuXpRSe6SOr3zd93vrqKoqieB8lORJJOLZBJgxDb3SdKtTZxvFtEtW3VcKM16sLLlgrJU1q9fPyc4/xMOtt94upZOyAj26QSaVfsAiN1CUMYZoix/7Tk/Jzn2lScxQY6jr73pshIieT/yBtArL3VHeGMpOdKaPNxVUTytaisgJ+fkpW8R1prxMfhYm/a533//hG2P2VpNFOe0o+1+9+50zxi+gqIg5JM7w2WlAN0xTBkGpOU4qIGh3b4BwXGidpw0NvPN35XnCr1HWf/1vXSlwf2ygtUUybtEdpSU3gV3ZF0HPvgyl/bTUTTyP3qCyubX7PmYUQlSjqqYOva3lqYyuhDhLqINXKxndEja2yTIQbLn2m4e7g2z6Gz++QUPj927y75kNRFKUt8PPTUtsYGCFpNBGdpQ5owRyprwGZWFzwuOeijSU58NntokwGklY55Ynq8uKV5fDlfbDdrvg29l6ZNLt61Xjze6ISGRAqaWeOCVlVgiMlsuJ4RPaUCXJxlkRKi7JqbGfLs6NOZtbbbUOh69hGUbqrKJaoRlMbjdfFwR/FEQ0MF2XcLfMAUxzm8b+W89OV6o/uJHuv1GFu+1BqdRz0GC9RpX7TJUXtX70lfbQlIhiNZenjIqTTLvr/2bvvuKyqP4Djn8MGmaIILtx7hVvLnKlZ7tQ0y6xfZuunlVqZqU21+tk0m9qwoWZmuMqBewCKeyIoDlBB2fs5vz/uAwGyp+P7fr2el3Dvueeee+HB+33OOd8Dz+z5d73HolrQ2eixLmmgVVjxV43REnu/Mt5vYPTSdnzaGCJcVvNVC0kCJCRAytPl40bXfEZa7OZD819vZdEAY72QHtONNVOEEEKUTHqakWnyQoAxbr/Ha7D0MWMOiY2jkcGqqMshlAVTurHA6db3je9rd4GHFhuJAeIjjV6GczuNIUoDPii9NfcKkngN/tfMmM8CxkO8V+t/g6EaPsbwwKL2bGT0MqSnFn2h54pmSi/dwNRkMuauXAv5d1vLh4zlDFxqlt55biZpKXByrREsnd5I5txHOxdjYebDvxuJR6aFlv28x7Rk+PJeI9tpcac3JF6HuXUADS+fKt+e6OQ4I9vpzs+M4ZjKwhgSW5ZraxWCBEhIgJSv9FTY+oHxn55ON7qUB31urNeR1dXT8Flb4xd70uGyX7lcCCHuFFdPGXMNMia5o41soyN/Kv95XgU5vtpYMDsl1pgTdd/bRg/YtRAjOHlosbF+Tnm6sM/I7ObVxpgnJKMbSl/g9/DXC0bQ2W8u1O5Y0S0qP9fDjPk7+380FgzO0LAvjFlaPm24uB++7mU8pxWnR/P0BvhpmNF7+t+ggsuXhfRUY35i5Cno9UbFtCELCZCQAKlQLgQa/+lFnjK+bzce+rz179jxf94wJt+V5x8EIYS4U+z5Etaae+abDTI+qLJ1qtg25eXqKWNeUtaFgV1rG5lRMybxi9tPbIQxzOtODUBN6cZ6Xvt/NLI0Dvy0fD8M2PwubJlrDBl9Zk/hezZNJiN76p4vjOUBhn5Ztu28RUiAhARIhZaSYEwKzliB260uDPnSGKLwv6bGuOzyGrsqhBB3EpPJSIZh72ZMDL/ZJ7snxxqZ6o6tgprtYdTP5Z9AQog7SVoKfNPTSJzSeACMWpL/34nLx+Dgb0Y2yoxMgw/ML7/hrzc5CZCQAKnIzvgZ//HFXDCG1DXoA6fWG2lDXzyafWKuEEKIO5PWxqR29wY3b7p6IW4nEUeM+UimVOMD7Najsu+PuWRk1zv427+p38EY/tpiqDEk9mbtmS5nEiAhAVKxJF43stwd+OXfbXdPNiZlCiGEEEKI8rf1A9j0lpH58tndRjKX475GUHRmC5kJJSysoeF90GqEsbbT7ZJpsJRIgIQESCVydBX4TjIm103YWuFZR4QQQggh7ljpacbaSBf3GRka4y5nT29fq5MRFDUfkndWYiEBEkiAVGIpCUYK1UpVKrolQgghhBB3tisnjMyX6cnG9+4NodVIYz1L+SC7UIoSIMkAYpE7GwfjJYQQQgghKlbVxkZilLDd0GSAkeL+Zk/scguTAEkIIYQQQoibXcPeN65ZKcrEHZrYXgghhBBCCCFuJAGSEEIIIYQQQphJgCSEEEIIIYQQZhIgCSGEEEIIIYTZbZ+kISYm3yx+QgghhBBCiNtcUWKC23kdpBrA+YpuhxBCCCGEEOKmUVNrfSG/ArdzgKSA6kBsRbdFCCGEEEIIUeGcgIu6gADotg2QhBBCCCGEEKKoJEmDEEIIIYQQQphJgCSEEEIIIYQQZhIgCSGEEEIIIYSZBEhCCCGEEEIIYSYBkhBCCCGEEEKYSYAkhBBCCCGEEGYSIAkhhBBCCCGEmQRIQgghhBBCCGEmAZIQQgghhBBCmEmAJIQQQgghhBBmEiAJIYQQQgghhJkESEIIIYQQQghhJgGSEEJUIKVUR6XUH0qpc0qpZKVUhFJql1Lqw4puW0VSSi1WSoUWspzO8opXSoUqpVYppR5XStnmcoyfUsovx7Y6SqnVSqkocz0fmbffpZTaopSKNm+fVFrXWBGUUt3N19G9otsihBA3K6uKboAQQtyplFIDgFWAHzAVuAR4Ae2AUcBLFda4W0si0NP8tT1QC+gPfA28pJTqp7U+n6X8M7nUMR/oCIwHwjF+FgDfAZUwfh7XgNDSbnw52wd0Bo5WdEOEEOJmpbTWFd0GIYS4IymltgA1gCZa67Qc+yy01qaKaVnFU0otBrprresUotxwrbVjLvvuA3yBfVrrTgXUcwo4pbW+P8f2VOBrrXVuQVWRKaUsASutdXJp1CeEEKL0yRA7IYSoOO7A1ZzBEUBuwZFSaqR5+F28UipOKbVeKXVXjjLtlFK/moeZJZr//UUp5Z2jnINS6gOlVIhSKsk8tCxAKfVwjnIDzedMUErFKqX+UUp1zlFmlnnYVnPzuaLNQwW/U0q55Cj7rFJqq1Lqsvk6DimlpiqlrItx//Kltf4boxepo1KqW5Y2ZA6xyxhyBjQA+mcZqjfOvN0KmJixPUsdnkqpL5VS55VSKeb7OFMpZZWlTB3zcVOVUq8rpUKAZKCHeb9zlp9BilLqglLqI6VUpRz3TCulPlNKjVVKHTP/LA4opR7Iec1KqSbmn0GEecjmOaXUDxlDDXMbYmcephinlGqglFpj/jpMKfVhziGKSqmaSqnl5t+F60qpJUqp9hn3rJg/KiGEuKlIgCSEEBVnF8bD+yfKmIuUZ5CglHoN+AVjaNQIYCzgBGxTSjXLUrQOcAKYBPQFpmEM2/NXSlXJUu5/wETgE6Cfub5lGEFbxjlHA38CMcDDwBOAG+CnlLo7l2b+DpwEhgFzgNEYQ9eyqg/8bD7fA8C3wBTgy7yuvYRWmf/tlsf+jCFn4cAO89edgbXmfwGWZ9mOUsoT2Itxf9/EGM73LfAqRkCW0wsYQwBfNpc9rpRyALYAj2H8DPoDc4FxwCqllMpRxwDgOeANjPsbBfyhlKqXUUAp1RrwBzqZy/U3t8kWsMnj+jNYY9yrjcAgjKGFkzF+fzLqrwRsxgjwpmH8HkYAvxVQtxBC3Fq01vKSl7zkJa8KeGEEI9sAbX6lYDykvwI4ZilXC0gFPslxvCPGXJnf8jmHJcYcmjjghSzbDwF/5HOcBXABOAhY5DhnBLAjy7ZZ5vZPyVHH5xjzg1Q+57DCCJbSALcs+xYDoYW4h4uBuHz2NzG3bUGWbX6AX45yoYBvLsdr4LMc2xYCsUDtHNtfMpdvZv6+jvn704B1jrKvAOlAuxzbh5mP6Z+jDeGAU5Zt1czHv5Jl20aMeVJV87kf3c31dc9xDzXwUI6yq4HjWb5/xlyuXy73QwPjKvo9JS95yUtepfGSHiQhhKggWutIrfU9QHuMB+Y/gUbAe8ChLD0+fTECiR+UUlYZLyAJoxeie0adSilHpdRcpdRppVQaRuARhxEkNc1y+r0YQ8rmmIdd2edoXmOgOvCjzjLcT2sdh9FT1MncC5LVqhzfHwTsAI8s7btLGRnmIjEe8FOBHzACuUYF3LLiyNkTUxoewOhJuZjj57HWvP/eHOVXaa1Tc6njMBCUo471mAOYHOU3a61jM77RWkcAlwFvMIZMms+7VGt9pRjXpIG/cmw7mFG/2b1ArNZ6XY5yvxTjfEIIcdOSLHZCCFHBtNYBQACAeZjdXIzhTVPNr2rmov55VJF1vtLPQC/gLXP5GIyH3zUYGd4yvACcB0ZiDJdKUkqtx+gFOsW/Q+0ucaOLGL0/bkBClu2ROcplJCKwN19bbYwesxPAfzF6bZKADhi9TTmDtNKQ8YB/sRTrrAY8iBHc5aZKju9zu4fVMOY9FbaOnPcWjPubcc/cMILM87mUK4wErXVSLvXbZfneHaP3MKfctgkhxC1LAiQhhLiJaK1TlVKzMQKkFubNV83/DgfO5nWsOSHCA8BsrfWcLNttgco5zhMPzARmKqWqYcxXmYPRi9CEfx/IvXI5VXWMoOxakS4OBmP0ZA3VWmdeh1KqTRHrKYqB5n/9SrHOqxi9K9Pz2J8zGMstXexVjOGH4/M5R1FEYfTI1SzicUURiRHM5uRZhucUQohyJwGSEEJUEKWUl9Y6t96FjKFwGQ/a6zGGytXXWv+eT5UaY0hZzhTST2L0LuR+kDFca7F5kv8k83CtExhzkEYrpT7QWmtzmythzJPZpbVOyKvOfNpH1vaZkxH8p4j1FIpSqg/Gte/UWm8vxap9gfuBYK11UYPErHW8BkRqrUNK2iCtdaIy0sY/pJSarrUuaoBVGFuAEUqp/lrrtVm2jyqDcwkhRIWRAEkIISrOeqXUeYxem+MYw9baYEz2jwM+BtBahyql3gDeMWctW4fRe1MN4xP9eK31TK11jFJqKzBFKXUVYwjbvRjZ565nPbFSag/GQ/pBc11NMZIlZAY+SqmpwBLAVyn1JUY2tCmAK8acqaL6ByMRxS9KqXkYw7cmYgwPKwkLpVTGOke2QG2MHrERwDHzv6XpDaAPsFMp9QlGMGmHkZThfuBpnX1h2tx8hBFoblVKzcecDMPc9vuAD7XWe4rYrheB7cAepdQcjOQQ1TB60SZkncNUTN9j9Gz+pJR63Vx/f4w5cpB9qKcQQtyyJEASQoiK8zZGSuXJGEPZbDHmq2wA3tNaH8soqLV+Tyl1FGPuzsPmsuEY84wWZqlzNEZgNQ/jb/wOjIf51TnOvQnjwXky4IDRW/QD8E6Wc/6slIrHSBX9G8YQrt1AD631zqJerNb6uFJqmPm6V2AM2foZI+X42vyOLYA9Rsp0MIatXQEOYPRMLdFap5Sg7htorS8ppdoBMzACxpoYWe1C+Dd4LaiOeKXUPRiB5lNAXXPbz2H8/EOL0a4DSqkOwGyMRB9OGL8jmzAC0xIxt7knRnA3D6NH8G+M7HZryBGECyHErUqZR00IIYQQQhSZeY2utzHSnhc3SYQQQtw0pAdJCCGEEIWilHrO/OVxjMVle2JkRPxJgiMhxO1CAiQhhBBCFFYCxrDMOhjDPM9hpKV/uwLbJIQQpUqG2AkhhBBCCCGEmUVFN0AIIYQQQgghbhYSIAkhhBBCCCGEmQRIQgghhBBCCGF22yZpMK/OXh1jbQohhBBCCCHEnc0JuKgLSMJw2wZIGMGRpBwVQgghhBBCZKiJsTh6nm7nACkWICwsDGdn54puixBCCCGEEKKCxMTEUKtWLSjE6LLbOUACwNnZWQIkIYQQQgghRKFIkgYhhBBCCCGEMJMASQghhBBCCCHMihwgKaVqKKV+UkpFKqUSlFJBSqm2WfYrpdQspdRFpVSiUspPKdU8Rx22SqlPlVJXlVLxSqlVSqmaOcq4KaV+VEpFm18/KqVci3+pQgghhBBCCJG/Is1BUkq5ATuAzUB/4DJQH7iepdhU4EVgHHASeB34RynVWGudMSnqI+BBYBQQCXwI+Cql2mqt081lfsbIMtHP/P1XwI/m40qF1pq0tDTS09MLLizEHcbS0hIrKyuMjPlCCCGEuB1FxiWzLPA8Xeq706qm9EUAqALSgGcvrNQcoKvW+p489ivgIvCR1nqueZstEAFM01p/qZRyAa4AY7XWv5nLVAfCgPu11uuVUk2Bo0AnrfUec5lOwC6gidb6RCHa6gxER0dH55qkISUlhUuXLpGQkFDo6xfiTuPg4ICXlxc2NjYV3RQhhBBClIEpyw6wLNBYGaettxvjutShXwtPrC1vr5k4MTExuLi4ALhorWPyK1vULHYDgfVKqWXAvRg5xBdorb82768LeAJ/ZxygtU5WSm0BugBfAm0B6xxlLiqlDpvLrAc6A9EZwZG5zG6lVLS5zA0BkjkQs82yySmvizCZTISEhGBpaUn16tWxsbGRT8mFyEJrTUpKCleuXCEkJISGDRtiYXF7/aEUQggh7nTpJs3G45cBUAoCz14j8Ow1PJ3tGNvZm4c71KZypTvvQ9KiBkj1gInA/4B3gQ7AJ0qpZK31DxjBERg9RllFAN7mrz2BFK31tVzKeGYpczmX81/OUianV4GZhbmIlJQUTCYTtWrVwsHBoTCHCHHHsbe3x9ramrNnz5KSkoKdnV1FN0kIIYQQpSgo7BpR8Sk421mxfnI3ft0bxpI9ZwmPSeL99Sf4ZOMpBrepwbiudWjqdecsm1PUj4QtgH1a69e01vu11l8CX2METVnlHLenctmWU84yuZXPr573AJcsr5p5lMskn4gLkT95jwghhBC3rw3HjP6I7o098HKxZ3KfRux4pSf/G9GaljVcSE4z8VtAGP0/3saor3ax/kg46abCT8+5VRW1B+kSxtygrI4Bw8xfh5v/9TSXzeDBv71K4YCNUsotRy+SB7AzS5lquZy/Kjf2TgHGUD4gOeN7GTInhBBCCCFE3jYeMx6rezX1yNxma2XJUJ+aDLmrBoFnr7FoZyjrDoez+0wUu89EUdPNnlf6N+GBVtUrqtllrqgB0g6gcY5tjYCz5q9DMIKbPsB+AKWUDcZ8pWnmMoFAqrnMUnMZL6AFRgY8MJIxuCilOmit95rLdMToGcoIokQxhIaGUrduXfbv30+bNm0KdczixYuZNGkS169fL7hwGbajNNWpU4dJkyYxadKkcj+3EEIIIW5Ppy/H8dQPASSkpGNnbYGdtSV21pbYW1tiZ22BvY0ldlaW2Jn/tbexoGuDKnSpX6Xc2xoWlcDJiDgsLRTdG3ncsF8pRbs6lWlXpzIXryfy4+6z/LL3HOevJfLcz/sJj07iyXvqlXu7y0NRA6T5wE6l1GsYwU0H4CnzC621Vkp9BLymlDoFnAJeAxIw0najtY5WSn0LfKiUigSigA+AQ8AGc5ljSql1wNdKqQnmc38F+BYmg93tLiwsjFmzZrF27VquXr2Kl5cXgwcP5o033sDd3T3fY2vVqsWlS5eoUqXwb8SRI0dy//33l7TZRXbmbyeVpAAAIABJREFUzBmmT5/Oli1biIqKokqVKrRt25b333+fRo0alahuf39/KlWqVEotFUIIIYSAb7eHcOZqfJGO+XprCGv+ew8NPBzLqFW522DuPWpfxw0XB+t8y1Z3tWdavyb8t1dD5q47zqIdoby9+hhX41KY1q/xbTdyq0gBktbaXyk1BGO+zxsYPUaTtNZLshSbB9gDCwA3YA9wX5Y1kAAmA2kYQZY9sBEYl2UNJIAxwCf8m+1uFfBcUdp7Ozpz5gydO3emUaNG/PLLL9StW5cjR44wZcoU1q5dy+7du6lcuXKux6akpGBjY4OnZ155LnJnb2+Pvb19aTS/0FJSUujTpw9NmjRhxYoVeHl5cf78edasWUN0dHSJ6rWxsaFq1aql2FohhBBC3OmSUtNZffAiAPOGt6JelUokpqaTmJJOUpqJpJR0ktLM36eaSExNZ2fwVQ6ej+a1FYf49alOWFiUX6CxyZy9rnfT3Ga15M7O2pI3HmhGVSdb5q07wcItwUTFJ/PukJZY3U5pwbXWt+ULcAZ0dHS0zikxMVEfPXpUJyYm3rDvZtevXz9ds2ZNnZCQkG37pUuXtIODg3766aczt3l7e+u33npLP/bYY9rZ2Vk/+uijOiQkRAN6//79meX+/PNP3aBBA21nZ6e7d++uFy9erAF97do1rbXWixYt0i4uLpnlZ86cqVu3bq1/+OEH7e3trZ2dnfXIkSN1TExMZpm1a9fqrl27ahcXF125cmU9YMAAffr06cz9ubUjq/3792tAh4aG5ns/zp8/r0eMGKFdXV115cqV9cCBA3VISEjm/scee0wPGjRIv/vuu9rLy0t7e3tn3pv58+dnlrt+/br+z3/+o6tWraqdnJx0jx49dFBQUOb+oKAg3b17d+3o6KidnJy0j4+P9vf3z7dtt4Nb+b0ihBBClKfVBy9q72m+utO7G3R6uqlQx4RFxeumM9Zq72m++qfd+T/zlKaYxBTd4LXV2nuarw6+HFusOn7de1bXfcVXe0/z1U8s9teJKWml3MrSFR0drTGSvTnrAuKI2yjUKxmtNQkpaRXy0oVcrDcqKor169fzzDPP3NCj4+npyZgxY/jtt9+y1ff+++/TokULAgMDmTFjxg11hoaGMnz4cAYPHkxQUBATJkxg+vTpBbYlODiYlStX4uvri6+vL1u2bGHOnDmZ++Pj43nxxRfx9/dn48aNWFhYMGTIEEwmU6GutWrVqlhYWLB8+XLS09NzLZOQkECPHj1wdHRk69atbN++HUdHR/r160dKSkpmuY0bN3Ls2DH++ecffH19b6hHa82AAQMIDw9nzZo1BAYG4uPjQ69evYiKigJgzJgx1KxZE39/fwIDA3nllVewts6/O1oIIYQQd44V+y4AMKhNjUL3BNV0c2BKX2N6/5w1xwmPTiqz9mW17dRVUtM19apUol7V4g3tG9m+NgsfaYuNlQUbjkXw6Ld7iU5MLeWWVoyizkG6bSWmptPsjfUVcu6jb/bFwabgH8WpU6fQWtO0adNc9zdt2pRr165x5coVPDyMyXY9e/bk5ZdfziwTGhqa7ZiFCxfSuHFj3n//fQAaN27M4cOHeeedd/Jti8lkYvHixTg5Gevxjh07lo0bN2YeN2zYsGzlv/32Wzw8PDh69CgtWrQo8Fpr1KjBJ598wtSpU5k9ezbt2rWjR48ejBkzhnr1jAmBv/76KxYWFnzzzTeZY18XLVqEq6srfn5+3HfffQBUqlSJb775Bhub3Bc627x5M4cOHeLy5cvY2hprDX/wwQesXLmS5cuX89RTT3Hu3DmmTJlCkyZNAGjYsGGB1yCEEEKIkjl0PppUkwmf2m4V3ZR8RcWn4HfCGLI21KdGkY59tHMd/gy6SFDYdWb8eZivxrYt8zk9G3LJXlcc9zX35MfxHXjyhwD2hkYx8std/DC+Ax7Ot/baidKDdBvJ6DnK+qZq165dvsecOHGC9u3bZ9vWoUOHAs9Vp06dzOAIwMvLi8uX/13bNzg4mNGjR1OvXj2cnZ2pW7cuAOfOnSv4QsyeffZZwsPD+emnn+jcuTPLli2jefPm/PPPPwAEBgZy+vRpnJyccHR0xNHRkcqVK5OUlERwcHBmPS1btswzOMqoJy4uDnd398x6HB0dCQkJyaznxRdf5Mknn6R3797MmTMnW/1CCCGEKH1hUQkM+2InQxfsZPTXu9l/7lrBB1UQ34MXSTNpmld3plE1p4IPyMLSQjFnWEusLBT/HI1g3eHwgg8qgXSTxu/EFQB6FWH+UV461nNn6YTOVHWy5Xh4LEO/2ElIERNV3GykB8nM3tqSo2/2rbBzF0aDBg1QSnH06FEGDx58w/7jx4/j5uaWLUNdQZnatNY3fEpRmCF/OYeXKaWyDZ978MEHqVWrFl9//TXVq1fHZDLRokWLbEPfCsPJyYmBAwcycOBA3n77bfr27cvbb79Nnz59MJlMtG3bliVLltxwXNYkDAXdA5PJhJeXF35+fjfsc3V1BWDWrFmMHj2a1atXs3btWmbOnMmvv/7KkCFDinQ9QgghhCicX/3PkZJuPFvsDI5kyIKd3NesGi/3bVzkIKSsZQyvG3JX0XqPMjTxdGZi9/p8uuk0b6w6QpcGVXCxL5uh/EFh14iKT8HZzoq23qXTM9fUy5kVE7sw9ts9hEYmMPyLnXw/vgMtariUSv3lTXqQzJRSONhYVcirsN2o7u7u9OnThwULFpCYmJhtX3h4OEuWLGHkyJFF6pZt0qQJ/v7+2bYFBAQU+vjcREZGcuzYMV5//XV69eqVOfSvpJRSNGnShPh441MJHx8fTp06hYeHBw0aNMj2cnEp/BvSx8eH8PBwrKysbqgna7DZqFEjJk+ezN9//83QoUNZtGhRia9JCCGEEDdKTTfxm/95AGY80IzhbWtioeDvoxH0/WgrLy4NIiwqoYJbaThzJY6gsOtYKBjYpviLpz7bowH1qlbiSmwyc9YeK8UWZrfhmDHip3tjD6xLMfNcrcoOLHu6C82rOxMZn8Kor3az8/TVUqu/PEmAdIv57LPPSE5Opm/fvmzdupWwsDDWrVtHnz59qFGjRoFzh3KaMGECx48fZ9q0aZw8eZKlS5eyePFigGKPf3Vzc8Pd3Z2vvvqK06dPs2nTJl588cUi1REUFMSgQYNYvnw5R48e5fTp03z77bd89913DBo0CDASJ1SpUoVBgwaxbds2QkJC2LJlC//97385f/58oc/Vu3dvOnfuzODBg1m/fj2hoaHs3LmT119/nYCAABITE3nuuefw8/Pj7Nmz7NixA39//zznggkhhBCiZP45GsHVuGSqOtnyaGdvPnioNesndaNfc0+0Nnpsen7ox8w/D3MlNrlC27pyv9F7dE/Dqng4FX/ujZ21JXOGtgLgl71h7AqOLJX25bSxlOYf5aaqky2/PtWJLvXdiUtOY9wif9YculTq5ylrEiDdYho2bEhAQAD169dn5MiR1K9fn6eeeooePXqwa9euPNdAykvdunVZvnw5K1asoFWrVnzxxReZWewyEhYUlYWFBb/++iuBgYG0aNGCyZMnZyaBKKyaNWtSp04dZs+eTceOHfHx8eHjjz9m9uzZme1zcHBg69at1K5dm6FDh9K0aVPGjx9PYmIizs7OhT6XUoo1a9bQrVs3xo8fT6NGjRg1ahShoaFUq1YNS0tLIiMjefTRR2nUqBEjRoygf//+zJ49u0jXJIQQQojCWbLnLAAj29XK7OVoWM2JhWPb8uezXbm7QRVS0zXf7zpLt3mbeX/98QrJoKa15o8gI0AqanKG3HSoW5kxHWsD8Nofh0hKzT2Tb3GFRSVwMiIOSwtF90alHyABONlZs+jx9tzf0pOUdBPP/rzvpp4/lhtV2BTTtxqllDMQHR0dfcPDclJSEiEhIdStWxc7u1s7y0ZZeOedd1i4cCFhYWEV3RRRweS9IoQQoryFXI2nxwd+KAXbpvagpptDruV2nr7K3PUnOBB2HQAXe2smdq/P+K51sbEqnz4A/9AoHlq4C0dbK/yn98bepnDzyvMTk5RKn/9tISImmWd71GdK3yal0FLD4h0hzPrrKB3rVua3CZ1Lrd7cpJs0b/x5mHST5r2hLcs8M19BYmJiMqZguGitY/IrKz1IggULFuDv78+ZM2f48ccfef/993nssccqullCCCHuENcTUnhisT8LtwQXem1Acfv6Za+R8bZ7o6p5BkcAXRpUYeUzXfhybFsaejgSnZjKnLXHGfjZdg6djy6XtmYkZ+jXwrNUgiMAZztr3hxkLIny5ZYzHL2Y77N8kWw8bsw/6l0K2esKYmmheHtwC94ZUvHBUVFJgCQ4deoUgwYNolmzZrz11lu89NJLzJo1q6KbJYQQ4g7x9bYzbDx+mTlrj/PaH8YnzqL0feEXzAOfbsvscbkZJaelsyzAGMEyuqN3geWVUvRt7sm6Sd14f3grKley4Xh4LIMX7GDeuuOlPkQtq6TUdHwPXgRgaDGz1+Wlb3NP+rfwJM2keWXFwVJ5T8QmpbL7jDGvqSzmH+VGKYVlIRfNvZlIgCSYP38+Fy9eJCkpiZMnTzJjxgysrCQDvBBCiLIXl5zGj7vOZn7/y95zPLMksEwfbO9E/qFRzF13nMMXYnjkmz0Enr0554SsOxzOtYRUvFzs6NG4asEHmFlaKB5qV4t/JnfjgVZepJs0C/yCGfDJNgLPRpVJWzcdv0xsUhpeLnZ0qude6vXPHtgcJzsrDp6PZtGOkBLXt+3UVVLTNfWqVKJeVcdSaOHtSwIkIYQQ4jZz5GI06w6Hk5CSVtFNKdAve84Rk5RG/aqVWDDGBxtLC9YfieDR7/ZWyKT721FyWjqv/H4QgEo2lsQmp/Hot3vYG1I2gUNJLNljDK8b2b4WVsVIQe3uaMtno334cmxbqjrZEnwlnuELd/HmX0dL/f2QMbxuUJsaWJRBL4mHsx3T7zcy5n7498kSpzXfaE7v3bNJ+fQe3cokQBJCCCFuIzFJqYz8cjdP/xRI27c28MIv+9l4LIKUNFPBB5ez5LR0vtl+BoAJ3epzf0svfniiA062VuwNiWLkl7uIiEmq4Fbm7VJ0IqnpN999zenzzcEEX4mniqMNG166l64N3IlPSeex7/ayM/jmWafmVEQse0OisLRQjGpfu0R19W3uyYbJ9zK8bU20hu92hNDvo22ldr1R8Sn4nTACjtLIXpeXke1r0bFuZRJT05m+8nCx5+ilmzSbze3tVQ7zj251EiAJIYQQt5E/918gLjkNpSAxNZ1VBy7yxPcBdHh3A6/9cYg9ZyIx3SRzfP7cf5GImGSqOdsy6C5jgc1O9dz5bUJnqjrZcjw8lqELdnLmSlwFt/RGywLC6PzeJjq+u5HX/jjEzuCrN+XcqZMRsXzhdxqAWQOb4+Viz7ePtadbo6okpqbz+CJ/tp68UsGtNPxsTs7Qs4kHni4lz5zq4mDNBw+1ZvHj7anuYse5qARGf72H6X8cIjapZL2TvgcvkmbSNK/uTKNqTiVua16UUrw3tCU2VhZsPXmFleaU4kUVFHaNqPgUnO2saFfHrZRbefuRAEkIIYS4TWitM4cozRjQjJXPduXxrnWo4mjL9YRUft5zjpFf7abr3E28u+YYhy9EV1jWOJNJs3BrMABP3l0PW6t/M4A1q+7MioldqFulEheuJzJ84S6CbqLEAslp6Xz490nA6En4ec85Rn+9h07vbWTmn4fxD426KYJQk0nz6opDpKZrejXxYEBLL8BYkPSrsW3p1cSD5DQTT34fwKbjERXa1qTUdH4PNBZ5z1gHqLR0b+zB+sndMutdsuccfedvzewBKo6M4XVDSjk5Q27qVXXkv70aAvDmX0eL1au6wTy8rntjj8x1pUTe5A4JIYQQt4mgsOscD4/F1sqCYT41aVPLlZkPNmfPa71Y8mRHRrSriZOdFZeik/hq6xke+HQ7vf+3hc83nyY5rXyTIvx9NIIzV+JxtrPi4VweiGtVdmD5051pVdOFqPgURn+9my03SU/HUv8wwmOS8HS2Y/Hj7RnZrhYu9tZciU3m+11neWjhLrrO3cRbvkfZf+5ahQWhS/acJfDsNSrZWPLW4BbZUi3bWVvyxSNt6du8GinpJib8GMjfR8IrpJ0AvgcvEZOURk03e7o1LHxyhsJysrPmnSEt+fk/Hald2YGL0UmMW+TP55tPF7muM1fiCAq7joWCgW2ql3pbc/NUt3o083LmWkIqT/0QUOQkJpuOZQyvk/lHhSEBkhBCCHGbyFg/ZkArL1wcrDO3W1ooujaowrzhrfGf3puFj7RlQEsvbK0sCL4Sz/vrT/DysoPl1uuhteaLLUbv0djO3jja5p451d3Rlp//04l7GlYhISWdJxb7s3J/8YYYlZbktHQW+Bltf6ZHfbo39mDu8Fb4T+/NonHtGepTAydbIwj9dnsIQxbs5J55m3lv7TE2HI3gQNh1Ll5PLPM5YZeiE5m77gQAU/s1obqr/Q1lbKws+Gy0DwNaeZGarnlmyT7WHLpUpu3Ky5I9RibDhzvULpOEBxm61K/Cukn3MK5LHQDeX3+C73eGFqmOjN/Bbo2q4uFUPouoW1tasPCRtrg5WHPgfDTTfj9Y6MA7LCqBExGxWFooujeSAKkwJJezuGnVqVOHSZMmMWnSpFKvKzw8nLFjx7Jz506sra25fv16rttuZqV5f4QQt76YpFT+OmA83I7ukPcQJTtrS/q18KRfC09ik1JZdeAiM/88wl8HLlLH3YGX7mtc5m3dfSaKA2HXsbWyYFyXuvmWdbS14tvH2vPysgOsOnCRSb8FcTUumSfvqVfm7czN0oDzXIo2eo9GtKuVud3GyoIeTTzo0cSDpNR0tpy8gu/BS2w8FsH5a4l8ueUMX3ImW12uDtZUdbSlqpMtHk7GvxmvFtVdaFjMuS1aa2asPEJcchp31XblkU55rydkbWnBxyPbYG2hWBl0ked/2U9quolBbcp+6FiGoxdj2H/uOlYWiofa1Szz8znYWDFrYHOc7a35ZOMpZq46grO9FUPuKvjcWmv+CCq/4XVZ1XZ3YMGYtoz9dg9/Bl2kUTUnnu3RoMDjNh4zhk+283bL9sGJyJsESLeYy5cvM2PGDNauXUtERARubm60bt2aWbNm0blz54puXrmaNWsWs2fPBsDS0hJXV1eaNWvG0KFDmThxIra2tpll/f39qVSpUub38+fP59KlSwQFBeHi4pLntptZzmsSQtzZ/tx/gcTUdBp6ONLWu3CTsJ3srBnT0RtrSwumLj/Ip5tOU7uyAw9lefAvCwvNvUcPtatJVSfbAkobwcdHI9vg7mjDoh2hvL36GBExSUzt16Rc51Mkp6WzwDwk65ke9bGztsy1nJ21JX2be9K3uSeJKelsOn6ZdUfCORsZz5XYZK7EJpNm0lxPSOV6QiqnLt+YhEIpmNK3MRPvrZ9taFxhrD0czoZjEVhbKuYMbVXgQp1WlhZ8OKINVpYWLA88z+TfgkhN1wxvW/bBCsDPe43eo77NPcutRwZgcu+GxCSmsnhnKC8vO4ijrTV9muWf4S3g7DXCohJxtLXivmae5dTSf3Wu786sgc15feVhPvj7BA09HLmvef7t2HjcGF7XW7LXFZoESLeYYcOGkZqayvfff0+9evWIiIhg48aNREXdfGsZlIfmzZuzYcMGTCYTkZGR+Pn58fbbb/Pjjz/i5+eHk5Px6VvVqtnHMwcHB9O2bVsaNmyY77aiSk1Nxdq6fD6dyXlNQog7V9bkDKM71i7yA/WIdrU4F5nAZ5tP8+qKQ9RwtadLgypl0VSOXoxhy8krWCh46p76hT7OwkLxxgPN8HCyY+6643y9LYS9odeYP6J1uS16mdF7VM3ZNlvvUX7sbSwZ0MqLAa28MreZTJroxFSuxCVnBkyXY5Myvw67lkjg2WvMW3eCIxdimDe8FZXyGIaYU3RCKjNXHQFg4r31aexZuF4oSwvFvGGtsLZU/LI3jCnLD5CWbmJUPr2RpSE+OY2V+y8Cxu9ueVLK+J2KSUplxb4LPPvzPhY/3p4u9fP+3V+xz0gk0a+FJ/Y2uQfIZe2RTt6cjIjlh11nmfRbECue6UITT+dcy8YmpbL7TCQg84+KQuYg3UKuX7/O9u3bmTt3Lj169MDb25sOHTrw6quvMmDAgMxy0dHRPPXUU3h4eODs7EzPnj05cOBA5v7g4GAGDRpEtWrVcHR0pH379mzYsCHbuRYsWEDDhg2xs7OjWrVqDB8+PHNfcnIyL7zwAh4eHtjZ2XH33Xfj7++fud/Pzw+lFBs3bqRdu3Y4ODjQpUsXTpw4UaQ2FIaVlRWenp5Ur16dli1b8vzzz7NlyxYOHz7M3LlzM8vVqVOHjz76KPPr33//nR9++AGlFOPGjct1W2Hu5axZs2jTpg3fffcd9erVw9bWFq01WmvmzZtHvXr1sLe3p3Xr1ixfvrxI9whg1apVtGvXDjs7O6pUqcLQoUNzvSYw/tB/8803DBkyBAcHBxo2bMiqVatuqK9hw4bY29vTo0cPvv/+e5RSN/1wQiFE/rImZxhaiGFCuXmxTyMebF2dNJPm6Z8COZ1Lr0ZpyOg9GtCqOrXdHYp0rFKKid3r89nou3C2s+JA2HXu/2QbP+4+W+aJELL1HnVvkGfvUWFYWCjcKtnQqJoTXRtUYfBdNXiqW32mD2jGR6Pu4veJXXh3SEusLRWrD11i6IKdnI2ML1Tdc9Yd40psMvWqVuKZQgy/ytmudwa35NHO3mgNr6w4xAu/7GfH6atlNj9t1YGLxCWnUcfdgc713MvkHPmxMAeGfZpVIyXNxH++D+BAHhkTk1LT8T1oDGMdWs7D63Ka8UAzutR3JyElnSe/DyAyLjnXcttPXSU1XVO3SqVy+yDhdiABkpnWmviU+Ap5FfaPuqOjI46OjqxcuZLk5NzfCFprBgwYQHh4OGvWrCEwMBAfHx969eqV2csUFxfH/fffz4YNG9i/fz99+/blwQcf5Nw549PHgIAAXnjhBd58801OnDjBunXr6NatW+Y5pk6dyu+//87333/Pvn37aNCgAX379r2hF2v69Ol8+OGHBAQEYGVlxfjx4zP3FdSGkmjSpAn9+/dnxYoVue739/enX79+jBgxgkuXLvHxxx/nuq0w9xLg9OnTLF26lN9//52goCAAXn/9dRYtWsQXX3zBkSNHmDx5Mo888ghbtmwp9D1avXo1Q4cOZcCAAezfvz8zmMrP7NmzGTFiBAcPHuT+++9nzJgxmW0NDQ1l+PDhDB48mKCgICZMmMD06dOLdY+FEDeXvJIzFIWFheL94a1o6+1GTFIajy/em+dDV3GFRSXge9DoLZjQrfhziB5oVZ11k7rRpb47SakmZqw8zOOL/bkcW3aLyi7L0ns0sn3ZDkEEozfl16c6UdXJlhMRsTz46fYCs/jtPhPJL3vDAJgztFWxgjgLC8Xsgc158m5jbtiqAxcZ880e7pm3mY82nOT8tYSiX0w+fs7S81mWyRnyY2VpwacP30WX+uYFdBft5VRE7A3lNh2/TGxSGl4udnSqgGAuK2tLCxaM8cHb3YHz1xKZ+NO+XBN/ZKT37tVEeo+KJOPT7tvtBTgDOjo6WueUmJiojx49qhMTEzO3xSXHaWZRIa+45Lgb2piX5cuXazc3N21nZ6e7dOmiX331VX3gwIHM/Rs3btTOzs46KSkp23H169fXX375ZZ71NmvWTH/66adaa61///137ezsrGNiYm4oFxcXp62trfWSJUsyt6WkpOjq1avrefPmaa213rx5swb0hg0bMsusXr1aA9nueX5t0Fprb29vPX/+/DzLz5w5U7du3TrXfdOmTdP29vZ51jVo0CD92GOPZTsm57bC3MuZM2dqa2trffny5cz9cXFx2s7OTu/cuTPbcU888YR++OGHtdaFu0edO3fWY8aMyfP6c14ToF9//fVs7VBK6bVr12bekxYtWmSrY/r06RrQ165dy/Ucub1XhBA3l+jEFN3k9bXae5qv9g+JLHF9V2OT9D1zN2nvab56yOfbdWJKWim00jBj5SHtPc1XP/LN7lKpLz3dpL/ZdkY3nL5Ge0/z1W1mr9drD10slbqzSkpN053f3aC9p/nqRdvPlHr9+QmPTtSDP9+uvaf56rqv+OoFm09rk8l0Q7nElDTd4/3N2nuar351xcFSOXfQuWv6tRUHdYs31mnvab7ae5qvrvOKrx7z9W69cv/5Ev9uHAi7pr2n+eqGr63RkXHJpdLmkohNStUDPzPudYd3/tHnIuOz7X9isb/2nuar31tzrIJaeKNTETGZP59pyw9k+91ISzfpu978W3tP89U7T1+twFbeHKKjozWgAWddQBwhPUi3mGHDhnHx4kVWrVpF37598fPzw8fHh8WLFwMQGBhIXFwc7u7umT1Ojo6OhISEEBxsDGuIj49n6tSpNGvWDFdXVxwdHTl+/Hhm702fPn3w9vamXr16jB07liVLlpCQYHxiFBwcTGpqKl27ds1sk7W1NR06dODYsWPZ2tqqVavMr728jLHXly9fLlQbSkprXeQx+DkV5l4CeHt7Z5sPdPToUZKSkujTp0+243744Ydsx0H+9ygoKIhevXoVqc1Z66tUqRJOTk6Z9Z04cYL27dtnK9+hQ4ci1S+EyFtquom/j4QzbflB9oaU37zQ4iRnyI+7oy2LHm+Pi701+85d56VlB0pleNXVuGR+8zd6NyZ2L/zco/xYWCieuLsuvs/fnblGzNM/7ePlZQeITUotlXOA0Xt0MToJDyfbMp+Tk1M1Zzt+faoTo9rXwqRh7rrjPPfzfuKT07KV+2zTac5cjcfDyZZX+jcplXO3ruXKO0Nasnd6bz4a2YauDdzRGrafvsp/fw2iwzsbmLHyMIfOF2/B4Yzeo/4tPalcyaZU2lwSjrZWLB7XnkbVHImISeaRb/ec0PAfAAAgAElEQVRw2bwoa1R8SubCskN9KnZ4XVYNPJz4ZPRdWCj41T+MxVlSlgeFXSMqPgVnOyva1Sn534Y7iSRpMHOwdiDu1bIZb12YcxeFnZ0dffr0oU+fPrzxxhs8+eSTzJw5k3HjxmEymfDy8sLPz++G41xdXQGYMmUK69ev54MPPqBBgwbY29szfPhwUlJSAHBycmLfvn34+fnx999/88YbbzBr1iz8/f0z/wDmDD5yC0iyJivI2GcymQrVhpI6duwYdevmnzq2IIW5l8ANmeQyrnH16tXUqJH9j2jWzHqQ/z2yt79xzYqC5EwQoZTKrC+3n1Fx/kMTQmR3LjKB3wLOsSzgPJdjjSFpqw5c5JenOtGmlmsBR5eMLmFyhrzUr+rIwkfa8uh3e1h98BLelR2Y2q9kD93f7wwlOc1E65oupT7XpFE1J1Y+25X5G06ycEswywPPs/tMJP8b0YYOdSuXqO6UNFOWuUd5Z64rS7ZWlswZ1oqWNV2YteoIqw9dIvhKHF+ObYu3eyWOh8dkzu16c1BznO1KN1mQvY0lg++qweC7ahAWlcDywPMsDzzPheuJ/Lj7LD/uPksTTyce7lCbYW1r5rmuVVYx5hTzkH9a+vLmVsmGH5/oyEMLd3E2MoFHv9vLr091wvfgRdJMmubVnWlUzPTrZaVHYw9e7d+Ud9Yc4y3fo9Sv6ki3RlXZaB5ed29jj3LN9ng7kADJTClFJZtbM2Vys2bNWLlyJQA+Pj6Eh4djZWVFnTp1ci2/bds2xo0bx5AhQwBjPlBoaGi2MlZWVvTu3ZvevXszc+ZMXF1d2bRpE3379sXGxobt27czevRowMjcFhAQUKT1eArThuI6fvw469at49VXXy1RPYW5l7lp1qwZtra2nDt3jnvvvbfY52/VqhUbN27k8ccfL3YdWTVp0oQ1a9Zk2xYQEFAqdQtxp0lJM/H30XB+3RvG9tNXM7e7V7LBw9mOY5diGL/Yn+VPdy7TidGlkZwhL53ruzNnaCteWnaABX7BeLs7MLJ98R5k45LT+GGXkcr56WKkrS4MGysLpvVrQo/GHry4NIjz1xIZ+dUunr63PpN7N8LGqngPiMsCwyqs9yinMR29aVzNiad/2sfx8FgGfraDj0a14aMNp0gzafo2r0a/Fl4FV1QCtSo7MLlPI/7bqyE7gyNZGhDGuiPhHA+PZeaqI3yw/gQj2tfisc518k3C8ef+CySkpNPAw7HEQWxpq+Zsx09PdGT4wp0cD4/l8cX+pKYbHzaW99pHhfXkPXU5ERHL8sDzPPvzPlY+2zUzQOot2euKTAKkW0hkZCQPPfQQ48ePp1WrVjg5OREQEMC8efMYNGgQAL1796Zz584MHjyYuXPn0rhxYy5evMiaNWsYPHgw7dq1o0GDBqxYsYIHH3wQpRQzZszI7GUA8PX15cyZM3Tr1g03NzfWrFmDyWSicePGVKpUiYkTJzJlyhQqV65M7dq1mTdvHgkJCTzxxBOFvpaC2lBYaWlphIeH35Dmu02bNkyZMqXI9WVVmHuZGycnJ15++WUmT56MyWTi7rvvJiYmhp07d+Lo6Mhjjz1WqPPPnDmTXr16Ub9+fUaNGkVaWhpr165l6tSpxbqeCRMm8L///Y9p06bxxBNPEBQUlDk0syweVoS4HQVfiePXvef4fd8FouKNHm+l4O4GVXi4Q216N61GarqJh7/ezcHz0Tz63V5WTOyCh3PZrO1SGskZ8jOsbU3ORsbzyabTTP/jMDXdHOhajPTfv+49R3RiKvWqVCpwzZaS6lC3Mmv/ew9v/nWUZYHn+cIvmC0nrvD5GB/qVinaB6EpaSY+32T0Hk2soN6jnNrVqYzv83fz9E+BBIVd5/FFRhZZJ1sr3hzUotzaYWGhuLthFe5uWIXohFRWBl3g+52hnLkaz7fbQ/huRwi9m1ZjfNe6dKpXOdv/M9l6PjuUXs9naart7sCPT3RkxJe72H/OyGpnoWBgm+oV3LLcKaV4Z0gLQq7GE3j2Go9+u5cL1xOxtFB0byQBUlFJf9stxNHRkY4dOzJ//ny6detGixYtmDFjBv/5z3/47LPPAOMNsmbNGrp168b48eNp1KgRo0aNIjQ0lGrVjAXC5s+fj5ubG126dOHBBx+kb9+++Pj4ZJ7H1dWVFStW0LNnT5o2bcrChQv55ZdfaN68OQBz5sxh2LBhjB07Fh8fH06fPs369etxcyv8+NaC2lBYR44cwcvLi9q1a9O9e3eWLl3Kq6++yrZt23B0LNmntoW5l3l56623eOONN3jvvfdo2rQpffv25a+//irSsL/u3buzbNkyVq1aRZs2bejZsyd79uwp9vXUrVuX5cuXs2LFClq1asUXX3yRmcUu59A/IcS/0tJN/LH/PCMW7qLXh1v4elsIUfEpVHO25fmeDdg6pQc/PtGR+1t6YWNlQSVbK74b15465uxSjy3yJ6YU58NkiElK5a8DRsrhshyiNLlPIwa1+Tf9d27ZvfKTkmbim20hADzVrV6Bi5aWBic7a95/qDULH2lL5Uo2HL0Uw8DPtrPZPIeksLL2Hj18Ew0D83Sx47cJnRiZZS2maf2bUK2MAvGCuDhY81iXOmx48V4WPd6ebo2qojX8czSCh7/eTf+Pt7HUP4yk1HQA9p37t+dzmE/5LEZbHI09nVj8eHsczOsddWtUtVwXsi0qWytLFj7Sluoudly4nghAO2+3Mvnw5Hanbtc5CEopZyA6OjoaZ+fsi2clJSUREhJC3bp1sbO7eX/RhShr77zzDgsXLiQsLCzX/fJeEQJm/nmY783DwyyUMd5/VIfa9GhcFat8xvWfi0xg6Bc7uRqXTKd6lVn8eIdS7YH4cVcoM/48QkMPR/6e3K1MP4VPSk1n7Ld78A+9Rk03e74f34H6hRw6uCwgjCnLD+LhZMu2aT2wtSrfXpiImCSeWbKPwLPXUApe6tOIZ3s0KPB+paSZ6PGBHxeuJzLzwWY83rVk81rLgtaa1YcucSU2mcc616mwNNm5OX05lkU7Qlmxz0giAlC5kg2jO9Tm1OVY1h+JYJhPTT4c0bqCW1qwPWci+dwvmJfva0SrmmU7r7A0HL4QzUMLd5GYms70+5vynxKk1L+dxMTE4OLiAuCitY7Jr6wESPLQJ+4gCxYsoH379ri7u7Njxw6ef/55nnvuOd5+++1cy8t7RdzpouJT6PTeRlLSTDzboz6PdPLGy6XwCVQOX4hm1Fe7iUtO4/6Wnnz6sE+p9KBoren/8TZj3kc5PbxHxacwZMEOzkYaWU0bV3Oib/Nq3Nfck+bVnXMNOEwmTZ/5Wwi+Es+r/Zsw4d7SyV5XVClpJmb/dSRzWFe/5p58MKJ1vskEft5zjtf+OISHky1bp/a4KYbX3YqiE1L51f8cP+w6m9mrkWHFM13wqS3Z1crCruBI1h6+xNR+TQqVNONOUJQASYbYCXEHOXXqFIMGDaJZs2a89dZbvPTSS8yaNauimyXETWtpQBgpaSZa1HDm5fsaFyk4AmhRw4WvxrbFxtKCNYfCmf3XkVLJHlmWyRnyUrmSDT+M78A9DatgaaE4ERHLJ5tO88Cn27l77mZmrTrCzuCrpKX/O590w7EIgq/E42RnxeiOFTdEzcbKgneGtGTO0JbYWFqw7kg4Qz7fQcjV+FzLp6SZ+Nycue7pe2+OuUe3KhcHaybcW58tU7rzxRgfOtQxEjK083bjrjLO8ngn61zfnTcHtZDgqJikB0k+FRciT/JeEXeydJPm3vc3c/5aIvOGtWJE+1oFH5QH34MXef6X/WgNL9/XiOd6NixR26YuP8DSgPMM9anB/0a0KVFdxXE9IYXNJy6z/nAEW05eyRxCBeDqYE3PJh70be7Jwi3B7D93nYnd6zOthGnCS8u+c9eY+FMgETHJONlZ8fGoNvRskn1eaUbvUVUnW7ZJ71Gpu3A9EVd7ayrJw7soR0XpQZLfTCGEECIXW05e5vy1RFzsrXmwdckyVz3QqjpXY5OZ9ddRPvj7JB5OdsUOuMorOUN+XB1sGHJXTYbcVZOk1HS2n7rK30fD2XDsMlHxKazYd4EV+y4ARu/N413rVEg7c+NT242/nr+bZ37aR8DZazzxfQAv9jbmJVlYqGy9RxOl96hM1HAt+jp/QpQnCZCEEEKIXGSs2/NQ25rY25T8IXlc17pcjk1mgV8wr/5xCHdHG3o1zT8jZm7+3G9Mem/o4Uhb74qfv2FnbUnvZtXo3awa6SZNQGgUfx+NYP2RcM5fS2Rclzo3XeYvDyc7fv5PJ970PcJPu8/x4T8nOXQhmg9HtMb34CUuXE+kqpNthQ4LFEJUnDs6QLpdhxcKUVrkPSLuVGcj49ly8goAj3TyLrV6p/RtzJXYZJaZF3Nc8mSnIgU52daP6XjzrR9jaaHoWM+djvXceX1AU67EJVOl0s25jICNlQVvD25JyxouzFh5hL+PRjD48x0kphjDBWXukRB3rjsySYO1tZEPPiEhoYJbIsTNLeM9kvGeEeJOsWTPObSGextVpU4RFxfNj1KK94a2pGcTD5JSTYxf7F+kdYUqIjlDcSml8HCyu6lST+dmZPvaLH26M57OdgRfiedidBJVnWwZI71HQtyxStSDpJR6FXgX+FhrPcm8TQEzgacAN2AP8KzW+kiW42yBD4CHAXtgI/CM1vp8ljJuwCfAQPOmVcDzWuvrJWkzgKWlJa6urly+bCwY5+DgcNN9CidERdJak5CQwOXLl3F1dcXSUj5FFXeOpNR0lgYYa4ONLcXeowxWlhZ8NvouRn+9h6Cw6/T/eBud67tzf0sv7mtWDXfHvHtcftlr9B4NaOUliz+Woja1XPnr+bt5dsk+9oZG8WKfRtJ7JMQdrNhZ7JRS7YGlQAywOUuANA2YDowDTgKvA92AxlrrWHOZL4AHzWUigQ+BykBbrXW6ucxaoCZGoAXwFRCqtX6wkO3LM4sdGA+A4eHhXL9e4nhLiNuWq6srnp6e8gGCuKMsDQhj6vKD1HC1Z+vUHqWyblFursWnMOHHQPaGRmVus1DQqZ47/Vt60bd5tWxzd2KSUun4zkYSU9NZ/nRn2pnTJYvSYzL9n737jm+62v84/vqme9OW0kFLy957rzJkKLLFgYhyVVCRIaJXvRfXz4nr4kBF1KsgCg72KiBXZJdZyiyrLZ3QvZs0Ob8/UmLLks6U8nk+Hnkk+ebkm5PQ0ry/53w/R5GUVUCAFBEQotap8oViNU1zBQ4CUzEHoMNKqWeKR48SgHlKqbnFbR2AZOAFpdQCTdM8gEvARKXUsuI2AcAFYJhSKkzTtJbAcaCHUmpvcZsewG6ghVLq1E308YYB6TKj0YjBYCjzZyBEbWdnZycjR+K2o5Ri5Gc7iYzP5IU7W/BU/6pf2PR8Si4bjiayITKJyPhMy3ZNg64hXgxr48edbfzZfDyJl1cdo2k9VzbNCpUDF0IIUQbVUeZ7PrBOKbVF07Q5JbY3BPyATZc3KKUKNU3bBvQCFgCdAbsr2iRomna0uE0Y0BPIvByOitvs0TQts7jNVQGpOIiVnJfgdjNvxMbGRr4ECiGEACAiLpPI+EzsbXTc16V6zvFpWNeFqf2bMLV/Ey6k5ZnD0tEkDsVmEH4+jfDzaby25jhOxVO+amJxBiGEqE3KHJA0TXsAc8jpco2H/Yqvk6/YngwEl2ijV0qlX6ONX4k2F6+x/4sl2lzpJcznPgkhhKjBzlzMxs/DqUau8L5odzQAw9v53/BcoKoS5OXMlNDGTAltTEJGPhuPJrHhaCL7Y9LJNxhxtKv5xRmEEOJWV6a/TpqmBQEfA0OUUgU3aHrlvD3tGtuu2v0Vba7V/kb7eQf4qMR9NyDuOm2FEEJYwW8H4pj9SwSeznZMH9iUCT0a4GBbM0bx03L1rD1iXoB1Ys/KL85QVgF1nHi0T0Me7dOQ5KwC/nfyIo3ruUpxBiGEqGJlLfPdGagHHNA0rUjTtCKgHzCj+PblkaMrR3nqlXgsCbAvrlJ3ozbXWj3Ph6tHpwDzVD6lVNblC3DzdVOFEEJUudScQt5YdxyA9DwD/7f2OIM+2saqw/GYTNZfc2vZvgvoi0y0re9Bh6A61u5OKb7ujjzQrQFdpTCDEEJUubIGpN+BtkCHEpf9wJLi2+cwh5vBl5+gaZo95hC1q3jTAcBwRRt/oE2JNrsBD03TupVo0x3wKNFGCCHELeTt9SfJyDPQws+Nt8a0wcfNgQtp+cxcepiR83ew43SK1fpmNCmW7I0BzKW95RwfIYS4fZVpil1xme6jJbdpmpYLpCqljhbfnwf8S9O008Bp4F9AHvBj8T4yNU37BvhQ07RUIA3zmkiRwJbiNic0TdsILNQ07Ynil/oKWHszFeyEEELULLvPpvLbwTg0Dd4e25ZODTwZ07E+32w/z4I/z3E0PouHvtlL36Z1efGuFrQO8KjW/v1x6iJx6fl4ONkxon1Atb62EEKImqWsI0g34z1gHvA55tGl+pjPWSo55W0WsBLzOko7MQeoEZfXQCo2AXNo2lR8OQJMrIL+CiGEqEKFRUb+vTISgAe7NaBTA/MMa2d7W6bf0ZRtz/dnUq8Q7Gw0tp9OYfinO5i17DAX0vKqrY+LdptHj+7rEoiTfc04J0oIIYR1lHuh2JruZtdBEkKIW1lkXCbZhQaa1nOjrqt9jZwa9snvp/locxR1XR34fXY/PJyuXWQgJjWX98NOWQol2NvoeLhnME8PaIKni32V9S8mNZd+7/8BwLbn+xPs7VJlryWEEMI6qmMdJCGEEFa2PzqNexfs5vJxLk9nO5r6utG0nivNiq+b+lo3OJ1PyeWz/50B4JURra4bjgCCvV347MFOTAnN4N0NJ9l1NpWvd5xn0e4YQpv5MKK9P4Na+uJSyeXBf9hjHj3q18xHwpEQQggZQRJCiFuR0aQY+dkOjiVk4eFkR1aBgev9d17H2Y5m9dxo4utK1xBPRravj42u6gOTUoqJ34Sz40wKfZvWZdGj3W46qCml2BZ1iffDTnEs4a8DfQ62Ou5oWY/h7QIY2KIejnYVmw6XrzfS453fycw38M0jXbij5bUKqAohhLjVlWUESQKSEELcgn4Kj+Wl5ZG4Odryv+f64+pgy5mLOZy5mENUcjanL+ZwOjmb2LQ8rqyg3TXEk/fHtSekbtWOlqw6HM/MpYdxsNWxaVZouUdnTiVls/ZIAmsiEohO/eu8JBd7Gwa18mVEuwD6NqtbrvWUft53gX/+doRATye2PT+gWoKjEEKI6icBCQlIQojaKzPPwIAP/yAtV88rw1vxaJ+G121bYDBy9pI5OB1PzOKH3THk6o042un459AWTOoVgq4KQkFmnoE7PvqDlBw9zw1pxrSBTSu8T6UUxxKyWHMkgbURicRn5Fsec3O0ZWhrP0a0D6B3Y29sbf6+BpFSihGf7eBofBYv3NmCp/o3rnAfhRBC1EwSkJCAJISovV5bfYzvdkXTtJ4r62f2xe4mwsBlcel5vPDbEXaeSQWgW4gX741rV+mjSS8tj+Sn8Fia1HNl/Yy+2NtWbtFUpRSHLmSwJiKBdUcSuZhdaHnMy8WeYW39GNEugK4hXtcNgIdi0xnz+S7sbXXseekOvKqwEIQQQgjrkoCEBCQhRO10KimbYZ9sx2hSLH6sG32b+pR5H0opluyN5Z31JyyjSS/e2YKHe1bOaNKBmDTu+WI3AMum9KB7I+8K7/NGjCbFvug01h5JYH1kEmm5estjfu6ODG/nz8gOAbSt71HqHKhnlx1m+aF4xnaqz0f3dajSPgohhLAuCUhIQBJC1D5KKR76Zi87z6QytLUvCyZ2qdD+LqSZR5N2nTWPJnVv6MX749rTwNu53Ps0GE0M/2QHp5KzubdzIO/f275CfSyrIqOJnWdTWRORQNjRJLILiyyPhXg7M6J9ACPbB+Dt6kCPt39HbzSx8unedAiqU639FEIIUb0kICEBSQhR+2w8msiTPxzE3lbH78/2I8ir/EHmMpNJsSTcPJqUpzfiZGfDi3e1YGKP4HKNJn257SzvbjiJp7Mdv8/ub9VpawUGI9uiLrE6IoHfTyRTYDBZHqvrak9Kjp629T1YPa13jVw/SgghROWRdZCEEKKWKTAYeWPtCQCeDG1UKeEIQKfTmNgjmP7NfHj+1wj2nEvj1dXH2HA0kffuKdto0oW0POZtiQLgX8NaWv2cHkc7G4a29mNoaz9yC4vYciKZNREJbIu6REqOeRrexJ7BEo6EEEKUIiNIQghxC/h4y2n+syUKfw9Hfp/dD2f7yj++ZTIpftgbwzvrT5JvMJ+b1KORN12CPekS4kX7wDo42V+7lLZSise+38/Wkxfp3tCLpVN61NjgkZGnJ+xYEtkFRfyjd0Mp7S2EELcBmWKHBCQhRO0Rn5HPHR/+QYHBxKfjOzKifUCVvl5sah7P/xrB3vNppbbb6jTa1Pega4gnnYO96BLiSV1XBwA2RCby1JKD2NlobJgZSpN6rlXaRyGEEKIsZIqdEEJUAqUUWQVFJGcVkJxVQFJm8XVWAUmZhRQWGbm3SxAj2vlX6WjJ2+tPUGAw0a2hF8Pb+VfZ61zWwNuZpVN6cDQ+i/0xaeyPTmdfdBoXsws5fCGDwxcyWLj9PAAN67rQOdiT7acvAfBkv8YSjoQQQtzSZARJCCGK7Tidwq8HLpCUVUByViFJmQXkG4x/+7wOQXWYc3dLuoR4VXqfdp9NZfzCPeg0WDu9L60CrPP/mVKKuPR89kWnsT8mnf3RaUQl55RqE+ztTNgzoTjaXXsanhBCCGEtMsUOCUhCiLIJP5/Ggwv3UGS6+v9EDyc7fN0d8HV3xM/dET8PR3zdHbmYXcjX28+RpzeHqLva+PHCnS0qbdHVIqOJ4Z/u4GRSNhN7BPPG6DaVst/KkpGn52BsOvuj0zl7KYdpA5rSNtDD2t0SQgghriIBCQlIQoibF5+Rz8hPd5Caq2dgi3qM6hBgCUO+7o7XLUwAcDG7gP9sPs2yfbGYFNjZaEzsEcL0gU3wrGAVt0W7o3ll1THqONvxv9n9K7w/IYQQ4nYlAQkJSEKIm5OvNzLuy10cS8iidYA7vz7Z64aB6HpOJWXzzoYT/HHKfC6Ou6Mt0wc25eFewTjYln1/6bl6+n/wB5n5Bt4Y1ZqJPUPKvA8hhBBCmJUlIOmqp0tCCFHzKKX4529HOJaQhbeLPV893KVc4QiguZ8b3/2jG4sf60YLPzeyCop4a/0JBn20jbVHEijrwagPN58iM99ACz83xndrUK4+CSGEEKLsZARJCHHb+uKPs8zdeBJbncaSx7vTvZF3pezXaFL8djCOD8JOcTG7EICODeowol0A/h7mc5j8PZzwcXO45ho8xxIyGfHpDkwKlk7pQY9K6pcQQghxu5Iy30II8Tf+d/Ii74WdBOC1ka0rLRwB2Og07usSxPB2/iz88zwL/jzLodgMDsVmXNXO183BEpjM146sPZKIScHwdv4SjoQQQohqJiNIQogqcSAmnXlbonB3siOwjhMBdZyoX+La3cm2StcOupGzl3IYPX8n2QVFPNi9AW+PaVulr3cxq4DFe2I4l5JLYka+eT2l7EKM16iYd5mjnY6ts/sTUMepSvsmhBBC3A5kBEkIYVXJWQU8sXg/KTn667ZxdbAloI5jqeDUOdiTriFe15x2VlmyCgxMXrSf7IIiuoZ48tqI1lX2WpfVc3dk9pDmpbYZTYqUnEISMwtIzMgnMdO8AG1iZgEp2YXc3zVIwpEQQghhBRKQhBCVqshoYvqPh0jJ0dPCz41xnQNJyCggISOf+Ix8EjLySc3Vk1NYRFRyzlWLjXq72DOktS93tvGnZyNv7G0rr5aM0aR4Zulhzl3Kxd/Dkc8ndK7U/ZeFjU7Dt7iMeIegOlbpgxBCCCGuJgFJCFGp3t90ivDoNFwdbPnioc40vMaiqfl6IwmZ+cSn51uC0/mUXLafTiE1V89P4Rf4KfwC7o62DGrpy9A2fvRr5oOjXfkqzF324aZTbD15EQdbHV9N7IKPm0OF9ieEEEKI2kcCkhCi0mw+nsyCbecAeG9cu2uGIwAnexsa+7jS2Me11HaD0cSec6lsPJpE2LFkUnIKWX4onuWH4nGys2FACx/ubOPPgOY+uDnalalvayIS+PyPs5a+tQ30KMc7FEIIIURtJ0UahBCVIjY1j+GfbieroIhHezfklRGtKrQ/o0lxMDadDZFJhB1LIj4j3/KYvY2OzsGetPB3o4WfG8393Gnm64qz/bWP+RxLyOSeL3ZRYDDxRL9GvHRXywr1TQghhBC3lrIUaZCAdAvLzDew/GAcDeu60L95PWt3R9zGCgxGxn25i6PxWXRsUIdlU3pW6rk9Siki4zPZeDSJjUeTOJeSe1UbTYMgT2ea+10OTeZrd0c7xny+i/iMfPo18+HbSV2rtAiEEEIIIWoeCUjU7oCUmWfg253n+XbnebILigB4pGcwLw1rWeFzNIQoj3+viGTJ3lg8ne1YN6NvlVZfU0px5mIOh2IzOJWczamkbE4mZZOSU3jD5zWs68LKp3vj4VS2qXlCCCGEuPVJme9aKj1Xz7c7z/PdzmiyC83BKNDTibj0fL7fHcP+mHQ+e7DTdc/7EKIqrDwUz5K9sWgazHugY5WXptY0jaa+bjT1dSu1PTWn0BKYLoemqORs8vRG3B1tWfhwZwlHQgghhPhbMoJ0C0jL1fP19nN8vyuaXL0RgBZ+bsy4oyl3tvbjz9OXePbnCNJy9bjY2/D22LaM6lDfyr0Wt4PTydmM/Gwn+QYjM+5oyrODm1m7S6WYTIr4jHxcHGzxcrG3dneEEEIIYSUyxY7aEZBScgpZuP0ci3fHkFccjFr6uzPzjiYMaeWHrsR5FEmZBcxYeojw82kAPNA1iFdHtMbJXqbc1RYpOYW42NvWmH/T3MIiRs3fyZmLOfRpUpfvH+0m5/YIIaaiRywAACAASURBVIQQokaSgMStHZAuZhfw1bZz/LA3hgKDCYA29d2ZMbApg1v5omnX/hJaZDTxydYzfLr1NEpBM19X5j/Y6aqpSLe7wiIjr646Rq7eyL2dA+nTpG6psFkTrYlIYNayw9jaaAxoXo+72vozsEU9XB2sM0tWKcXMpYdZHZGAr7sD62b0pa6rrCkkhBBCiJpJAhK3bkDacjyZaT8dtASjdoEezLyjKQNb1LtuMLrSzjMpPLPsMJeyC3G00/F/o9pwb+fAm35+bWY0KWb8dIh1kYmWbQ28nHmgWxD3dg6qkQuHrolI4JllhzGaSv+uOtjq6NfMh2Ft/bmjZb0yrwtUEYv3xPDyyqPY6DSWTelBlxCvanttIYQQQoiykoDErRmQjsRlcP+CPeQbjLQP9OCZQc3o39ynXMHmUnYhs5YdZseZFADGdqzPG6Pb4GKlEYeaQCnFK6uOsXhPDHY2GiPb12fT8SRLJUA7G40hrfx4sHsDejbyrhGjSmsiEpi59BAmBfd2DuThniFsOJrI+shEolPzLO3sbXSENqvLXW38GdTKt0qLERyJy2DcF7vRG03Mubslj/dtVGWvJYQQQghRGSQgcesFpLj0PEbP30VKTiGhzXz49pEu2NpUbB0Zk0nxxbazfLjpFCYFjeq68NmDnWgVUPM/j6rw8ZbT/GdLFJoGn47vyPB2AeTrjaw5ksCPe2M5fCHD0jbE25nx3RowrnMg3laaOrY6IoFnSoSjufe0s4Q2pRQnk7LZEJnIushEzl76a10gOxuN3k3q0rtxXbxd7fF0scfL2R4vF/PF2d6mTKFbKUVhkYnsgiLScvU89v0+4tLzGdraly8f6iwjk0IIIYSo8SQgcWsFpMx8A/d+uYuo5Bxa+Lnxy5M9K3W6VPj5NGb8dIikrAKc7GxYNa03zW6z85J+2BPDnJVHAfi/Ua15uGfIVW2OJ2TxY3gMKw8lkFNcRt3eRsfQNn6M7xpE90be1VaE4Ebh6FqikrNZH5nIhsgkTiVn33Df9rY6vJyLg5OLHZ7O9rjY25KrLyKnsIicAvN1dvF1bmERRVdM7wv2dmb1tD5SNlsIIYQQtwQJSNw6AUlfZOIf34Wz80wqvu4OrHy6N/4elb+OTFqunicXHyA8Oo229T1YPrUXdhUcobpVbIhMZOqPB1EKZgxswrNDmt+wfW5hEWsiEvgxPJYjcZmW7d4u9gxq6cuQ1r70blK3yhblXXU4nlnLDmNScF+XQN4de+NwdKUzF3PYeDSRqOQc0vP0pOXqSc/Vk5qrp7DIVO5+aRq42tvSwNuZD+5tT0v/mvt7JYQQQghRUpUFJE3TXgLGAi2AfGAX8IJS6lSJNhrwKjAF8AT2Ak8rpY6VaOMAfACMB5yA34GpSqm4Em08gU+AkcWbVgPTlVJ/zYO6cV9rfEBSSvHPX4/wy4E4nO1t+PmJnrSp71Flr5ecVcCQ//xJZr6BWYOaMXNQ00rZr8mkyNEX4eZgW+OmW+06m8Kkb/ehN5oY360Bb49pU6Y+Ho3PZMneWNZHJpKZb7Bsd7G3oX/zegxp7cvAFpVXIKFkOLq/SxDvjG1bqedC5euNpOXpScvRk5ZnDk5puXry9EW4ONji6mCLm6Mtrg52uDra4upgY7ntbGdTI87LEkIIIYQoq6oMSBuBpcA+wBZ4C2gLtFJK5Ra3eQH4NzAJiALmAKFAc6VUdnGbL4ARxW1SgQ8BL6CzUspY3GYDEIg5aAF8BUQrpUbcZF9rfED6bOtpPtgUhU6Dbx7pyoAW9ar8NVcdjmfm0sPY6jRWTO1N28CKBTKjSTF1yQHCjiXj6mBLkJczwV7ONPB2poHXX5f6nk7VPmJ1ND6TB77aQ05hEXe29mP+hE7lniJnMJoIP59G2LEkNh1LJimrwPKYnY1Gr8Z1Gdraj8GtfMtdCa+qw5EQQgghxO2q2qbYaZrmA1wE+iml/iwePUoA5iml5ha3cQCSMY80LdA0zQO4BExUSi0rbhMAXACGKaXCNE1rCRwHeiil9ha36QHsBlqUHLG6Qd9qdEC6HFQA3hjVmonXOCemKiilePrHg6yPTKKZryurp/Wp0FSx/1tznG93nv/bdjoNAuo4EeztTJCnM26OtjjZ2+Jsb4OzvQ1OdjY4F993sty3wdnBFl83hzIXrIhJzeWeL3aTklNIj0ZefPePbpU2Jc5kUhyJzyTsWBJhx5I4V6JAgqZB5wae9GpSl24hXnRsUOemKgeWDEcPdA3i7TESjoQQQgghKkt1BqQmwGmgrVLqqKZpjYCzQCel1KES7VYBGUqpRzRNG4h5Sp2XUiq9RJsIYKVS6lVN0x4FPlJK1bni9TKAWUqp/16jLw5AyUP3bkBcTQxI4efTeOjrveiNJh7v05A5w1tV6+un5hQydN6fpOToeSK0ES8Na1mu/VxeCwdg3v0daFPfgwtpecSk5hKblk9sWi6xaXnEpuVZ1nUqjzrOdgxu6cudbfzo07QuDrY3DjoXswsY98VuYtPyaOnvzrIneuBehWsEnbmYTdixZMKOJZU6ZwnARqfRJsCdLiFedA3xomuI51VV8VYeiufZn83haHy3IN4aLeFICCGEEKIyVUtAKh4tWgV4KqX6Fm/rBewE6iulEkq0/QoIVkoN1TTtQeC/SimHK/a3CTivlHpC07R/AZOUUs2uaBNV/Nx3rtGf1zCf+1RKTQtI5y7lMPaLXWTkGRja2pcvJnS2ypfhzceTmbxoP5oGvzzRs8wLfW6LusSj3+3DaFI8P7Q5Tw9oct22SikuZRcSk5ZHbGoecen55OqLyNMXkac3UmAwkqc3X/L1RvL0ReZrg5HcwiIMxr9+Rl0dbBnQoh53tvajf3Ofq0ZnsgoMPLBgD8cTs2jg5cyvT/Wknptj2T6cCkjIyOd/py6y73wa+6LTic/Iv6pNYx8XujU0B6Y8vZFXVh2VcCSEEEIIUYXKEpAqsmroZ0A7oM81HrsydWnX2HalK9tcq/2N9vMO8FGJ+25A3HXaWkVqTiH/+G4fGXkG2gfVYd79Ha32ZXhwK1/u6RTIbwfjmP1LBBtm9sXZ/uZ+HKKSs5m25CBGk+KeToFM7d/4hu01TaOeuyP13B3pWsYgVmQ0ER6dRtjRJDYeSyI5q5A1EQmsiUjAwVZHaDMf7mztx6CWvjjY6ZiyaD/HE7Oo62rP4se6VWs4AvM0wgndg5nQPRiA+Ix89kenEX4+jX3RaUQl53D2Ui5nL+XyU/gFy/PGd2vAW6PbSDgSQgghhLCycgUkTdM+xVxdLrRk5TkgqfjaD0gssb0e5vOQLrex1zTNs+QUu+I2u0q08b3GS/uU2E8pSqlCoLBEH2/uzVSTAoORKYsPEJOaR6CnE18/3AUn+6opE32zXhnRil1nU4hJzeOd9Sd5Y3Sbv33OpexC/vHffWQXFtGtoRfvjG1bpZ+1rY2OXo3r0qtxXV4d0ZrDcRmEHU1iw9EkYtPy2Hw8mc3Hk7HVaQTUcSI2LQ9XB1u++0c3gr1dqqxfN6t+HSfqd6jPqA71AUjP1bM/Jp19xaHpeEIW47sF8eqI1hKOhBBCCCFqgLJWsdOAT4ExQH+l1OlrPJ4A/Ecp9V7xNnvMhRyuLNLwkFLq5+I2/phHe64s0tBdKRVe3KY7sIdbsEiDyaSYvvQQ644k4u5oy/KpvWhSr2Ys1LrjdAoPfbMXgMWPdaNvU5/rti0wGBm/cA+HYjMI8XZmxdTeeLrYV1dXS1FKcSIxm43Hkixr/oB5YdfvHu1Kr8Z1rdIvIYQQQghR81Rlme/PgQeBUUDJkJKplMovbvMC8BLwD8wFHP4F9OfqMt/DMZf5TsO8JpI3V5f5DgCeKH6Nr4CYW7HM99yNJ/nij7PY2Wh8/2i3Gvfl/eWVR1m8JwZ/D0fCZoVes6CByaSYsfQQa48k4uFkx4qpvWjk42qF3l7b2Us5/HHqEu0CPco8jU8IIYQQQtRuVXkO0lPF139csf0fwHfFt9/DvPjr5/y1UOyQy+Go2CygCPiZvxaKnXQ5HBWbgHmh2E3F91cD08rYX6tTSnF54tQ7Y9vVuHAE8NKwFvx5+hIxqXm8vvo4H97X/qo287ZEsfZIInY2Ggsmdq5R4QigsY8rjWtYn4QQQgghxK2nQmW+a7KaNIIE5kVL29Sv2KKsVWl/dBr3LtiNUvDVxM4Mae1neey3A+ZCDgDvj2vHvV2CrNVNIYQQQgghyqwsI0hlW31TlFtNDkcAXUK8mNK3EQD/WhFJWq4egL3nUnlx+REApvZvLOFICCGEEELUahKQhMWswc1o5utKSo6eOSsjiU7J5YkfDmAwKoa19eO5Ic2t3UUhhBBCCCGqlEyxE6Ucjc9k9PydFJkUXi72pOXqaR/owdIpPa1ellwIIYQQQojykCl2otza1Pdg+sCmAKTl6qlfx4mFj1h/zSYhhBBCCCGqgwQkcZWpAxrTt2ld/Nwd+WZSF+q5OVq7S0IIIYQQQlQLmWInrkkphdGksLWRDC2EEEIIIW5tVbkOkrhNaJqGrY329w2FEEIIIYSoRWR4QAghhBBCCCGKSUASQgghhBBCiGISkIQQQgghhBCimAQkIYQQQgghhCgmAUkIIYQQQgghiklAEkIIIYQQQohiEpCEEEIIIYQQopgEJCGEEEIIIYQoJgFJCCGEqEQmZbJ2F4QQQlSABCQhhBCikiyKWITXXC8mrphIjj7H2t0RQghRDhKQhBBCiErw6d5PeWTlI2QWZvLDkR/ourArxy8dt3a3hBBClJEEJCGEEKIClFK8+eebzNg4A4CH2j1EgFsAJ1NO0nVhV36M/NHKPRRCCFEWEpCEEEKIclJK8fzm53n5fy8D8Fq/11g0ehGHnjjEHQ3vIM+Qx4TlE3h63dMUFhVaubdCCCFuhgQkIYQQohyMJiOT10zmw90fAjBv6Dxe7f8qmqZRz6UeYQ+FMafvHAA+3/85ff7bh+iMaCv2WAghxM2QgCSEEEKUkd6oZ/xv4/nm0DfoNB3/HfVfZvaYWaqNjc6GNwa+wfoH1+Pl5MX+hP10WtCJdVHrrNRrIYQQN0MCkhBCCFEGeYY8Ri0dxS/Hf8FOZ8cv9/7CpA6Trtv+rqZ3cXDKQboGdCW9IJ3hPw1nztY5GE3G6uu0EEKIm6YppazdhyqhaZo7kJmZmYm7u7u1uyOEEKIWyCzIZPhPw9kRuwNnO2dW3L+CIY2H3NRzC4sKmb1pNvP3zQdgYMOB/HTPT9RzqVeuviilSC9IJyE74ZqXYI9gXuv/Gh6OHuXavxBC1CZZWVl4eHgAeCilsm7UVgKSEEIIcRMu5V5i6A9DOZR0CA8HD9ZPWE+voF5l3s9PkT8xec1kcg25BLgF8Hyv59HQKDIVYTAZzNdGwzVvp+WnlQpBhcYbF35o5NmIZeOW0SWgS3nfthBC1AoSkJCAJIQQovLEZcUxePFgTqactBRg6ODXodz7O37pOON+HseJlBMV7pu3kzcBbgGlLnWd6/Lx3o+JzojGTmfH+4PfZ0b3GWiaVuHXE0KIW5EEJCQgCXGryNHncCDhAIeTDhPgFkBocCi+rr7W7tYt43TqaWx0NjTybGTtrtRaUalRDFk8hJjMGILcg9jy8BaaeTer8H5z9Dm8+eebnEk7g63OFjsbO+x0dubbOjvsbP66ffnxOo51SgUhP1c/HG0dr7n/jIIMHlv9GMtPLAdgdIvRfDvyWzydPCvcdyFqKqWUHAgQ1yQBCQlIQtREeqOeyORI9iXsIzw+nPD4cE6knMCkTKXaNfduTmhwKP2C+xEaHEqQR5CVelwzKaX4X/T/eHv72/x+/nfAPJVqcKPBDG40mIENB8qX4EqyLmodE5ZPILMwk2bezdg8cTMNPBpYu1s3TSnF/H3zmb1pNnqjnmCPYJaNW0b3wO7W7poQlaagqIAlR5bwnz3/ISo1it4NejOk0RCGNB5CR/+O6DSpSSYkIAESkISwNqUUZ9LOsDd+L/vi9xGeEM6hxEPXPGciyD2Ijv4dicmI4UjyERSl/18KqRNiCUv9gvvRyLPRbXmEUCnF2qi1vL3jbfbE7QHARrNBp+kwmAyWdjpNR9eArgxuNJghjYfQI7AHdjZ21ur2LcmkTLyx7Q1e2/YaAL2CerH8vuW37OjmgYQD3P/r/ZxNP4utzpZ373iXZ3s+e1v+HonaIyUvhS/2fcFn+z7jYu7Fa7bxdvJmcOPBDGk0hMGNBxPoHljNvby+7MJsvo/4ngYeDRjZfKS1u1PrSUBCApIQ1mA0Gdl5YSerTq5i5amVnEs/d1WbOo516Fa/G90CutGtfje61u+Kn6uf5fH0/HR2xO7gz5g/2RazjYOJBzGq0uWQ67vVp29wX3oF9qJ3g960822Hrc62yt+ftRhNRn4+9jPv7HiHyIuRADjYOPB4p8d5rtdz1HWuy7bobWw6u4nN5zZfdV6Lq70r/UP6M6TREPo06ENwnWA8HT3ly/F1ZBRkMHHFRNZGrQVgWtdpfDj0Q+xt7K3cs4rJLMhkytop/HzsZwCGNxvOd6O+w9vZ28o9E6JsolKj+M/u//B9xPfkF+UD5gNtM7vPZGiToWyP2c6mc5v4/dzvZOuzSz23lU8ry+hSaHAoLvYu1d7/jIIMPtn7CfP2zCO9IB2Atwa+xUt9XpL/l6uQBCQkIAlRXfIMeWw+u5mVp1ayNmotKXkplsfsbezp7N/ZHIjqd6NrQFeaeDUp0x+A7MJsdl3YZQlM4fHhpUZLAFzsXOge2J3eQb3pFdSLnoE9q6S0cZ4hj33x+9gdt5vdcbs5k3aGdr7t6B3Umz4N+tC2XltsdDaV9nqFRYUsPrKYuTvncibtDGAOO1O7TGVWz1mlgmVJcVlxbD67mc3nzJeS/yaXOds5E+geSJB7EEEeQeZr9yDztuL7t2N56MjkSMb+PJYzaWdwtHXky7u/5JEOj1i7W5VGKcWCAwt4ZuMzFBoLCXIPYum4peWqxieqjlKKtPw0TMqEQmFSJvNtpUptu3y/rnPdWv/7qpTiz5g/+WjPR6w5tcYy06Czf2dm95zNuFbjrhopNxgNhMeHs+nsJjad20R4fHipKd0ONg7M6jGLV/q9gpOdU5W/h9S8VObtmccn4Z+QVWj+fh7gFkBCdgIA07tNZ96d82rVlMAcfQ4xGTG0rtfa2l2RgAQSkG5HBqMBvVGPs52zHIGpYpdyL7E2ai2rTq1i09lNliN4AJ6OnoxoPoJRzUcxpPEQXO1dK/W18w357Inbw84LO9l5YSe7L+wmszCzVBsNjTb12tArqBe9g3rT1rctPs4+eDt7X/eE9isppYjJjGHXhV3svmAORBHJERSZiq77HDd7N3oF9aJPgz70adCHbvW74WznXOb3mKvP5euDX/P+rveJz44HwMvJi2e6P8O0btPKdH6RSZmISIqwjC5FJEdcMzBd7/0E1wkmpE4IIR4hhNQJ+et+nRC8nbxr1e/a0qNLeWz1Y+QZ8gj2CGb5/cvp5N/J2t2qEhFJEdz3631EpUZho9nwcujL9ArqhbuDOx6OHrg7uOPu4I6LnUut+je+FYSdCWPGxhlEpUbd9HPsdHaMbzuemd1n1rqfWYPRwK/Hf+WjPR+xP2G/ZfuIZiOY3XM2ocGhN/0zmp6fztbzW9l0dhNhZ8OIyYwBoIlXExYMX8DAhgOr5D1cyr3Eh7s/ZP6++eTocwBo7dOaOaFzuLfVvXwW/hnPhD0DwP2t7+f70d/jYOtQJX2pTmFnwpiydgo6TUfkU5GV/n2grCQgIQHpdrM/YT8jfxpJYk4ijraOeDt5U9e5ruVy1X1nb5p7Nye4TrC1u35LUEpxMuUk606vY03UGnbE7ih1FC7YI5jRLUYzqvko+gb3rdbpbiZl4tjFY+y6sMsSmq41te8yV3vXUj8P3s7e1HX663auPtcyQpSUk3TV8wPcAugZ2JNeQb1o5t2Mw0mH2RG7g10Xdl01lcNWZ0sn/070CepDr6BeONo6kl6QTkZBBun5xdcFV1znp3Mx96IldPq7+vNcr+eY0nlKpf1xyTfkE58dz4XMC1zIumC5jsuKs9y/PO3jRpztnC1hKdgjmPpu9QlwC8Dfzd987eqPt7N3jT8aWmQq4sUtL/Lh7g8BGNxoMD/d81Otn3qWXZjNU+ueYknkkuu20Wk6S1jycDAHJzcHN8D8uRlNRopMRZaLUZW+D9AnqA8T2k2gX3C/Sh1hrW1iM2OZFTbLUnWwJA0NnaZD04qvS9zX0Mg15Fra9m3Ql2d6PMOo5qNu+c/7TNoZhv84nFOppwBwtHXkkfaPMKvHLJrXbV6hfSulWH1qNU+vf9pyIOrRDo/y/pD38XLyqnDfARKzE/lg1wd8eeBL8gx5ALT3bc/LoS8zpuWYUv83Lj26lIdXPIzBZOCOhnew4v4Vlt+1W01afhrPhj3L9xHfA+bziNeOX2v1USQJSEhAup1EZ0TT4+seJOcml/m5jT0bM7jRYAY1GiSVv65QWFTItphtrItax9rTa68KHR38OjC6+WhGtRhFe9/2Neooc1JOkjkwxe5kV9wuzqefJyUv5apzmf6Orc6Wjn4dLYGoZ1BPgtyDrvlejSYjkRcj2RG7gx2xO9geu90ybaI8Gnk24oXeL/BI+0esciQxV59LbGYsMZkxxGTEEJ0RTUym+To6I5rEnMSb2o+dzg5/N3/8Xf8KTfXd6zOw4UC61+9u9Z+bi7kXuf/X+/kj+g8AXuz9Im8OfPOW/2J5s5RSLIpYxLeHvyWjIIPMgkyyCrPIKswq8+/L3wlwC2B8m/E82PZBOvp1tPq/fU2hN+r5aPdHvPHnG+QZ8rDRbJjZfSav9HsFdwf3m/qcwuPD+Xjvx/x87GdLMA32CGZ6t+k81ukx6jjWqeq3UekOJh7kriV3cTH3Ij7OPkzrNo2nujyFj4tPpb5OVmEWL215iS/2f4FCUc+lHp/c+Qn3tb6v3D+jcVlxvLfzPRYeXEhBUQEAXQK68HLoy4xoNuK6+918djNjlo0h15BLJ/9ObJiwgXou9cr93m6WUoqswqyb/nm7keUnljN13VSSc5PR0JjRfQZvDnzT6qNHIAEJkIB0u0jPT6f3t705kXKC9r7t2TBhA4XGQlLyUkjNSyUlL8VySc3/6/6lvEucTDlZarqUTtPR2b+zJTD1CupVK4a4yyIxO5H1p9ez9vRaNp/dXOqopL2NPf1D+nN307sZ2XwkIXVCrNfRclBKkVmY+bc/GzpNR7f63egZ2JMuAV3KPS/98hS9y4EpPD4cnabD08mTOo518HS84rrEdk8nTxp7Nq7RX9ILigq4kHmhVHBKzE4kISeBhOwEErMTuZR36Yb7aO7dnEkdJjGx3UTqu9cvd18u5l5k5cmV/HbiN06nnibALYBA90DLOVaXz6sKdA/E18XX8rmGx4dzz8/3EJcVh6u9K9+N+o57Wt1T7n7UJkop8gx5lrCUWfhXcMouzEbTNGw0G2x1ttjqbLHR/XXbVmdreSxHn8OKkyv45fgvZBRkWPbfom4LJrSdwINtH7yt1/Dacm4L09ZPs4yQhAaHMn/YfNrUa1Ou/SVkJ/D5vs/5cv+XpOanAuZzNCd1mMSM7jMqZf2u6vD7ud8ZvWw0OfocOvh1YMOEDdc957Ky7Lqwi8lrJnP80nEA7m56N5/f/flNlfU3KRMHEw8SdiaMsLNh7I7bbfl+0TOwJ6/0e4WhjYfeVPjYn7Cfu5bcRUpeCk28mhD2UFiV/o4cSjzEzI0z2R67ndY+rXm80+NMbDexzCPoSTlJTFs/jd9O/AaYf8e/GflNjTq/UQISEpBuB4VFhdy55E7+iP6DQPdA9jy2p0xfsrILs9kWs81yMvuVlb+c7ZwJDQ5lUMNBDG48mLb12ta6I54FRQXsi9/H7+d/Z23UWg4kHij1uJ+rH3c3vZvhzYYzqNGgGnEESNw69EY9STlJ5uCUXRycchKJSo1ibdRayzRCnaZjSOMhTGo/iVEtRt3UeWKJ2YmsOLmCX4//yraYbVetpXU9tjpbAtwCqO9WnwOJB9Ab9TT3bs6K+1fQ0qdlhd6vuL7CokI2nNnAksglrDm1plS5/56BPZnQdgL3tb6v0kcHaqq4rDieDXuWX47/AoCviy8fDPmACW0nVMrfmXxDPksil/Dx3o85evGoZfuwpsOY1WMWgxoNqvBrVJWfj/3MQ8sfwmAyMCBkACsfWIm7Q/V8jyssKmTuzrm8tf0t9EY9rvauvD3wbaZ2nXrVAauE7ATLuUybz262BNLLQoNDeSX0FQY2HFjmf9Oo1CiG/jCU6IxofF182fjQRjr4dajw+yspJS+FOVvn8NWBr65aWsPBxoGxLccyudNk+of0v2H/L49CzwqbRXpBOrY6W17o/QJzQufc9Dm/1aVWBSRN06YCzwP+wDHgGaXU9pt4ngSkWkwpxcQVE1kSuQQ3ezd2PLqDdr7tKrTP+Kx4tpzbwpbzW9hybstV55/4ufpZ1pUZ1GhQlR/NqgoZBRnsurCL7THb2R67nX0J+9Ab9aXadA3oyvBmw7m76d2ywJ6oMlmFWfxy7Be+i/iOHbE7LNvrONZhfJvxTOowia4BXUv9Yb6QeYHlJ5bz64lf2Rm7s9Qf9c7+nRnXahw9A3tyMfei5XyqktcJ2QlXBalRzUexaMyiavsCJszlxpefWM6SyCVsPb/V8u9oo9kwvu143hzwZq09P1Rv1PPxno95fdvr5Bpy0Wk6pnebzuv9X6+SKnRKKbae38q8vfMsZesBRrcYzWd3fVahkduq8OneT5m5cSYKxbhW4/hhzA9Wmclx4tIJJq+ZzM4LOwHoXr8784fNJy0/jbCz5lGiksETzEVt7mh0h6WEeGOvxhXqQ2J2IncuuZMjyUdws3dj1QOrGNBwQIX2CeZzB7/Y9wWv/PGKZVT3gTYPMKfvHLbFbGPhwYUcTjpsad/EMW800AAAFHZJREFUqwmPd3ycSR0mXbUOXExGDE+sfYKws2EAdPLvxDcjv6n0MFdZak1A0jTtfmAxMBXYCTwBPA60UkrF/s1zJSDVYnO2zuGt7W9hq7Nl/YPrGdx4cKXuXynF0YtH2XJuC5vPbWZbzDbLCZaXtfdtbwlMfRr0KddULKPJWKXTqBKyE8znwxQHomstwurr4ktocCh3NbmLu5redUsGP3FrO516mu8jvuf7iO+Jy4qzbG/l04pJ7SehaRq/Hv+VvfF7Sz2vR2APxrUcx9iWY2no2fBvX6fIVERSThJxWXHEZcXhYufC0CZD5SCAFSVkJ7D06FKWRC7hYOJB4K/Syy/2ebHCoSEiKYL3dr3H6dTTTGg7gcmdJ5ersmRl2Hp+K9PWT7PMVugV1IvPh31Oe7/21fL6p1NP8/Hej1lwYAFFpiLc7N14d9C7PNnlSav/DiilePl/L/PW9rcAeLrr03x858dWnWZsUia+OvAVL2x5wVKSuyQNjS4BXRjaeGiVLcidWZDJqKWj2BazDXsbe5aMXcK4VuPKvb+t57cyc+NMS7hr79ueT+76hNDgUEsbpRQHEg+w8MBCfjz6o6Xqnq3OllHNRzG502TuaHQHC/Yv4MXfXyRHn4ODjQOv93+d2b1m1+g1CWtTQNoLHFRKPVVi2wlgpVLqpb95rgSkWurrg18zec1kAP476r9M6jCpyl+zsKiQXRd2WdZSuPyH/DJHW0dCg0MZ0mgI/UL6UWQqMp/rlHvJcs5Tqevi7ZmFmbjZuxHgFvBX9S/XAMv9ktsv/1EvKCogLT+N1LxUUvNTSc1LNd8vvp2ab74cvXj0mtXcmng1oW+DvvRt0Jc+DfqUeV0iIaqK0WRk6/mtfBfxHctPLLec3HyZhkafBn0Y12ocY1qMIcgjyEo9FVVhf8J+nt/8vKVgRl3nurzW7zWmdJ5Spi+el9fLeXfnu2w8s7HUY/Vc6vFcz+d4qutT1TZl+EzaGf65+Z+sOLkCAB9nH94f/D4T20+0SjCJTI5k8prJlgMOvYJ6sXDEQlr5tKr2voD5wMWTa5/km0PfAPDGgDf4d99/15i/S/FZ8UzfMJ0VJ1dQ360+QxoPYWjjoQxqNKhaKl0WFBUwYfkElp9YjobG3EFzGdViFA3rNLzp34vojGhmb5ptqZDo7eTNmwPfZHKnyTcMoTn6HJYdXcbCgwtLHaBys3ezVG3t06APX4/4usJVBatDrQhImqbZA3nAvUqpFSW2fwx0UEr1+5vnS0CqhcLOhHH3j3djVEZeCX2F1we8bpV+XMq9xJZzW9h0bhObzm6qULWym+Xh4IHBZLhqJOtGdJqO9r7tzYEouC+9g3rj7+Zfhb0UonJkFmTy87Gf+enoT9jobBjTYgxjWoyRn99aTinF2qi1PL/5eUvhgubezXlv8Hs3rP4F5iP+q0+tZu7OueyJ2wOY/w+8r/V9dK/fnY/3fkx0RjRgXldsVo9ZTO82vcoWWM0oyODNP9/kk72fYDAZ0Gk6nuryFG8MeMPqFVONJiPz983nX7//i1xDLnY6O17q8xL/6vuvap3Slm/I54HfHmD1qdXoNB1f3v0lkztPrrbXL4tcfa7V1lk0mow8vf5pFhxYYNlmq7OlsWdjmnk3o7l3c5rXbW65Xc+lHpqmkWfIY+6Ouby36z0Kigqw0Wx4qstTvD7g9TKXMj+SfISFBxbyQ+QPZBRk4Grvyrt3vMtTXZ+y+gjkzaotASkAiAd6K6V2ldj+L+ARpVTzK9o7ACV/q92AOAlItcfhpMP0/W9fcvQ5PNz+Yb4b9V2NOMKklOL4peOWhTjD48NxtXelrnNdfFx88HH2Md++fO3y131PJ08yCjIsJ7Bfrv51uRJYQnYC8VnxpRZiBfMffS8nL7ydvPF29i51fXl7SJ0Qegb1lHMrhBC3HIPRwNcHv+bVP161VEPsH9KfDwZ/QOeAzqXa6o16foz8kbk753Iy5SRgnqb3aMdHea7Xc5YKYAajgSWRS3h7+9ucTjsNmA88zew+k5k9Zlba2jdFpiK+OvAVr/7xqmVR5qGNh/LhkA+tvg7MlWIzY3l6/dOW85Na1G3BwhEL6dOgT5W/dnp+OiOXjmRH7A4cbBxYOm4po1uMrvLXvVUppZi3Zx7fR3zP6bTTNzxY6uHgQTPvZiTmJFqmLQ8IGcDHd35MW9+2FepHviGfLee20NG/I4HugRXaV3WrbQGpl1Jqd4nt/wYmKqVaXNH+NeDVK/cjAal2uJB5gR7f9CAhO4GBDQeyYcIG7G3srd2tanF5fYLEnETsdHZ4O3vj7uB+yxyxEUKI8sosyGTuzrn8Z89/LFMuH2r3EG8NfAsvJy++Pvg1H+7+0PIl0MPBg6e7Ps2M7jOuOqH8siJTET8f+5m3tr9lKensau/KtK7TmNVzVoXWndl4ZiOzN8227Ldl3ZZ8OORD7mp6V7n3WdWUUvxy/BdmbJhhWU/wic5P8O6gd6ts/aT4rHiG/jCUY5eO4eHgwerxq0udByNuzKRMxGfFE5UaxanUU5xKOUVUWhSnUk4RnRFd6lzjBh4N+GjIR4xtObZGHFS2ptoSkMo0xU5GkGqvzIJM+v63L5EXI2nt05odj+64JRe9E0IIUT6xmbHM2TqHxUcWA+YRImc7Z9IL0gFzldFnezzLE12euOlRc5MysfzEct78800ikiMAcLJ1YnKnyfQN7ksTryY09myMm4Pb3+7r+KXjzN4023LOk7eTN6/3f73M509ZU3p+Ov/c/E++PvQ1AP6u/nx616eV+sX6fPp5Fh9ZzJf7vyQxJxF/V3/CHgqr8KiG+EtBUQFn085yKvUUBUUFjG4x2mqFSWqaWhGQwFKk4YBSamqJbceBVVKk4fZgMBoY9uMwtpzbgr+rP3se33NTi7YJIYSofQ4kHOC5zc9ZCjk09WrK872eZ2L7ieVec0UpxZqoNbzx5xvsT9h/1eO+Lr408WpyzUuRqYhX//cqCw4swKiM2OnsmN5tOnNC51j9PKPy+iP6D6asmWKZhhhSJ4RhTYYxrOkwBjQcUOYv25kFmfxy/BcWRSxie+xfq7Q0927Oxoc23nKLjotbV20KSJfLfD8J7AamAJOB1kqpmL95rgSkW5zRZOTxNY/z3eHvcLFzYfs/ttPRv6O1uyWEEMKKlFJsPreZgqIC7m56d6WVglZKEXY2jB8jf+R02mnOpJ2xnEN0PTaaDUZlBGBMizHMHTSXpt5NK6U/1lRQVMCbf77JB7s+KLWor4ONA/1D+jOsqTkwNfFqcs3nF5mK2HR2E4siFrHq1CrL9EgNjUGNBvFw+4cZ23KsjGyIalVrAhJYFor9J+aFYo8Cs5RSf97E8yQgVcBXB74iqzALg9GAwWTAYDRQZCq6+rbJfNvT0ZPZPWdX2uJ+0RnRPLziYbbHbsdGs2H1+NUMazqsUvYthBBC3IyMggzOpp3lTNoZ8yX9jOX25cXEO/p15KOhH9E/pL91O1sFcvW5bD2/lQ1nNrDu9DpiM0svQdnUq6klLIUGh3Iy5SSLIhbxY+SPlvOZwLym2SPtH2FC2wk1bnFacfuoVQGpvCQgVYz/h/6W//xvlrOdM28MeIMZ3WeUe6EwpRSLjyxm2vppZOuzcbV35esRX3N/m/vLtT8hhBCiKuToc7iYe5GQOiG3RdEcpRQnUk6w/vR6NpzZwJ8xf1JkKrI8bqezw2AyWO77OPvwYNsHebj9w3T063jbFwgQ1icBCQlIFTV9/XSy9FnYarbY2dhhq7PFTmd33durTq2yzC3u5N+Jr4Z/dVUp1r+Tlp/Gk2uf5JfjvwDQO6g3i8YsspRoFUIIIUTNkFWYxe/nfmf96fWsP7OehOwE7G3sGdV8FA+3f5ihjYfeMgUqxO1BAhISkKqbSZn49tC3PL/5eTIKMtBpOqZ3m84bA964qQpAm89uZtKqSSRkJ2Crs+X1/q/zQu8XKm1uuRBCCCGqhlKKM2ln8HHxkSqzosaSgIQEJGtJzklmVtgsfjr6EwBB7kF8NuwzRjYfec32+YZ8XtzyIp+EfwKYq9r8MPYHugR0qbY+CyGEEEKI2k0CEhKQrG3jmY1MXTeV8xnnARjbciyf3PlJqZMzDycdZsLyCZYF9Z7u+jTvDX5PqtoIIYQQQohKVZaAVPvPKhRWcWeTOzk69ah5mpxmw/ITy2k5vyXzw+djMBqYu2Mu3RZ24/il4/i6+LLuwXV8NuwzCUdCCCGEEMKqZARJVLmIpAimrJ1CeHw4AF5OXqTlpwEwusVovhr+FT4uPtbsohBCCCGEqMVkBEnUKO392rPr0V18etenuNm7kZafhqu9K9+M/Ibl9y2XcCSEEEIIIWoMGUES1So+K55lx5YxusVoKd8thBBCCCGqhRRpQAKSEEIIIYQQwkym2AkhhBBCCCFEOUhAEkIIIYQQQohiEpCEEEIIIYQQopgEJCGEEEIIIYQoZmvtDlS1rKwbnoMlhBBCCCGEqOXKkglqcxW7+kCctfshhBBCCCGEqDEClVLxN2pQmwOSBgQA2dbuixBCCCGEEMLq3IAE9TcBqNYGJCGEEEIIIYQoKynSIIQQQgghhBDFJCAJIYQQQgghRDEJSEIIIYQQQghRTAKSEEIIIYQQQhSTgCSEEEIIIYQQxSQgCSGEEEIIIUQxCUhCCCGEEEIIUUwCkhBCCCGEEEIUk4B0C9E07SVN0/ZpmpatadpFTdNWaprW/Io2mqZpr2malqBpWr6maX9omtb6ijYOmqZ9qmlaiqZpuZqmrdY0LbDE4yGapn2jadr54n2c1TTtdU3T7KvrvVpTdX3O12h7WNM0pWlah6p8fzVBdX/GmqbdrWna3uL9pGiatryq32NNUJ2fs6ZpzTRNW1XcJkvTtJ2apg2ojvdpTZX4GU8p3p5V/P9AnWu8lqemaYs1Tcssviy+VrvaqLo+Z+02/vtXnT/LJdreVn/7oPo/Z+02/ftXURKQbi39gPlAD2AwYAts0jTNpUSbfwLPAtOArkASsFnTNLcSbeYBY4AHgD6AK7BW0zSb4sdbYP7ZeAJoDcwCngTerpq3VeNU1+dc0ntAQiW/j5qs2j5jTdPuARYD/wXa8//t3F+IFWUYx/HvQ2pl2OaSua0UW0FSSW1ZaYVRiqUhQUHYTaUkBYHdhRfdeFF0UXSjlJEXBeFNeCVhf4gSKgtc+4PURaFE0q5SuhpYWvl08b6HnYaz6+7OmZkzM78PDMfznvfMO+/P2X3OzM4ZuAvYkc+0uk6R+/J7cf3LgcXAN7FPXw7z6iadyng28D4T/57dAQwCq+IySNi3m6ConJtc/4rcl1uaVvugwJwbXv+ycXctFV2AeYADd8fnBgwDmxJ9zgdGgafj8x7gDLA20acf+Be4f4KxngMOlj3nOuYMrAZ+AK6P4wyWPee6ZEwoPIeBJ8ueYzcsOeZ8aVzvskSfObFtRdnz7vaMU++/J77/klT7dbF9SaJtaWxbWPa865LzOGM1sv7lnbFqX745q/5lW/QXpGrriY/H4uNVQB/wYauDu58G9gB3xqbFwMxUn1+BA4k+4411bILX6yy3nM1sPvAm8BhwKp/Nr4S8Mr4FWACcNbOvzWzYzHanL1VokLxy/p3wQedxM7vIzGYQzsAfAYZymUn3mk7Gk3EHcMLdv0qs50vgxBTXUxd55TzeWE2sf7llrNr3P3nlrPqXgQ6QKsrMDHgV+MzdD8Tm1qUsR1LdjyRe6wPOuPvxCfqkx7oG2Ahsy7rdVZNnznHdbwHb3H1fhze9MnLel6+Oj5uBF4A1wHFgj5n1dmQCFZFnzh5OV64Ebgb+AP4iXJq0yt1HOzmPbpYh48noA462aT86xfVUXs45p8dqZP3LM2PVvjE578uqfxnMKHsDZNq2AjcSvg+Q5qnn1qYtrW0fM+snXOP6rrtvn8Z2Vl2eOW8ELgZeyrKBNZBnxq2TQC+6+04AM1tPuOzgEeCN6WxwReWWcyzyrxE+rC8D/gQ2EL6DdJu7D2fY7irpdMbnWsd011N1eecc3tjs+pdnxqp9Y/LMWfUvA/0FqYLMbAvwIHCvux9OvDQSH9NnGC5j7EzECDDLzOZO0Kc1Tj/wCbAXeKoDm14pBeS8nPAdgtNm9g/wU2zfZ2Zvd2AKXa+AjFsfzL9vvRgvVTgIXJlt66ujoH15DfCou3/u7vvd/RnCgdITHZpGV8uY8WSMAPPbtM+b4noqrYCcW+M0tv4VkHHjax8UkrPqXwY6QKqQeNvHrcDDwHJ3P5Tqcojwg7Uy8Z5ZhDumfBGbhoC/U30uBxYl+mBmC4BPgf3Aenc/2+n5dKsCc36WcFeZwbg8ENvXAs93cEpdp8CMh4DTwMJEn5nAAPBz52bUnQrMeXZ8TP+eOEvN60yHMp6MvUCPmd2eWM8SwvcXprKeSiow58bWvwIzbmztg0JzbnT9y6zsu0RomfxCuIRllPBD0pdYLkz02RT7PET4ALODcAvNOYk+rwO/ACsI3xn4mHBL3vPi6/3Aj7F9QXKssjOoU85txh2gIXfyKTJjwi2qDwP3EQrFdsJZuLll51CXnAl3sfsN2En44HMt8DLh7nc3lZ1DRTLuI3xY3BB/DyyLz3sTfXYD3xLOvi8FvgN2lZ1BnXKmwfWvyH05Ne4ADal9RedMg+tf5v+nsjdAyxT+s8IPQLtlXaKPEb6QN0z4ovQeYFFqPRcAWwh3njoF7AKuSLy+bryxys6gTjm3GbcxRaLIjAl3YHslFoWTwEfADWVnUMOcbwU+iH1OEv7isbrsDCqU8eZJrKcXeCfmezL++5y3qa7DUlTONLj+Fbkvp/oP0JDaV3TONLj+ZV0sBigiIiIiItJ4tb42XEREREREZCp0gCQiIiIiIhLpAElERERERCTSAZKIiIiIiEikAyQREREREZFIB0giIiIiIiKRDpBEREREREQiHSCJiIiIiIhEOkASERERERGJdIAkIiIiIiIS6QBJREREREQk0gGSiIiIiIhI9B8o493ewus9KAAAAABJRU5ErkJggg==\n",
"text/plain": [
"
"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"sarima_forcast(sarima_drink, df_drink, 'sales', forecast_periods=24, freq='quarter')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**SARIMAX Model with Exogenous Variable**\n",
"\n",
"We have a SARIMA model if there is an external predictor, also called, \"exogenous variable\" built into SARIMA models. The only requirement to use an exogenous variable is that we need to know the value of the variable during the forecast period as well.\n",
"\n",
"For the sake of demonstration, we use the seasonal index from the classical seasonal decomposition on the latest 3 years of data even though SARIMA already modeling the seasonality. \n",
"\n",
"The seasonal index is a good exogenous variable for demonstration purpose because it repeats every frequency cycle, 4 quarters in this case. So, we always know what values the seasonal index will hold for the future forecasts."
]
},
{
"cell_type": "code",
"execution_count": 62,
"metadata": {
"scrolled": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Fit ARIMA: order=(1, 1, 1) seasonal_order=(0, 1, 1, 12); AIC=727.512, BIC=739.103, Fit time=0.645 seconds\n",
"Fit ARIMA: order=(0, 1, 0) seasonal_order=(0, 1, 0, 12); AIC=730.208, BIC=736.003, Fit time=0.011 seconds\n",
"Fit ARIMA: order=(1, 1, 0) seasonal_order=(1, 1, 0, 12); AIC=726.724, BIC=736.383, Fit time=0.260 seconds\n",
"Fit ARIMA: order=(0, 1, 1) seasonal_order=(0, 1, 1, 12); AIC=728.526, BIC=738.185, Fit time=0.291 seconds\n",
"Fit ARIMA: order=(1, 1, 0) seasonal_order=(0, 1, 0, 12); AIC=732.167, BIC=739.895, Fit time=0.032 seconds\n",
"Fit ARIMA: order=(1, 1, 0) seasonal_order=(2, 1, 0, 12); AIC=728.721, BIC=740.312, Fit time=0.606 seconds\n",
"Fit ARIMA: order=(1, 1, 0) seasonal_order=(1, 1, 1, 12); AIC=728.716, BIC=740.307, Fit time=0.944 seconds\n",
"Fit ARIMA: order=(1, 1, 0) seasonal_order=(2, 1, 1, 12); AIC=728.386, BIC=741.909, Fit time=2.311 seconds\n",
"Fit ARIMA: order=(0, 1, 0) seasonal_order=(1, 1, 0, 12); AIC=724.737, BIC=732.464, Fit time=0.335 seconds\n",
"Fit ARIMA: order=(0, 1, 1) seasonal_order=(1, 1, 0, 12); AIC=726.630, BIC=736.289, Fit time=0.402 seconds\n",
"Fit ARIMA: order=(1, 1, 1) seasonal_order=(1, 1, 0, 12); AIC=728.310, BIC=739.901, Fit time=0.494 seconds\n",
"Fit ARIMA: order=(0, 1, 0) seasonal_order=(2, 1, 0, 12); AIC=726.737, BIC=736.396, Fit time=0.536 seconds\n",
"Fit ARIMA: order=(0, 1, 0) seasonal_order=(1, 1, 1, 12); AIC=726.735, BIC=736.394, Fit time=0.690 seconds\n",
"Fit ARIMA: order=(0, 1, 0) seasonal_order=(2, 1, 1, 12); AIC=726.401, BIC=737.992, Fit time=1.486 seconds\n",
"Total fit time: 9.059 seconds\n"
]
},
{
"data": {
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