{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Forecasting I: univariate, heavy tailed\n", "\n", "This tutorial introduces the [pyro.contrib.forecast](http://docs.pyro.ai/en/latest/contrib.forecast.html) module, a framework for forecasting with Pyro models. This tutorial covers only univariate models and simple likelihoods. This tutorial assumes the reader is already familiar with [SVI](http://pyro.ai/examples/svi_part_ii.html) and [tensor shapes](http://pyro.ai/examples/tensor_shapes.html).\n", "\n", "See also:\n", "\n", "- [Forecasting II: state space models](http://pyro.ai/examples/forecasting_ii.html)\n", "- [Forecasting III: hierarchical models](http://pyro.ai/examples/forecasting_iii.html)\n", "\n", "#### Summary\n", "\n", "- To create a forecasting model:\n", " 1. Create a subclass of the [ForecastingModel](http://docs.pyro.ai/en/latest/contrib.forecast.html#pyro.contrib.forecast.forecaster.ForecastingModel) class.\n", " 2. Implement the [.model(zero_data, covariates)](http://docs.pyro.ai/en/latest/contrib.forecast.html#pyro.contrib.forecast.forecaster.ForecastingModel.model) method using standard Pyro syntax.\n", " 3. Sample all time-local variables inside the [self.time_plate](http://docs.pyro.ai/en/latest/contrib.forecast.html#pyro.contrib.forecast.forecaster.ForecastingModel.time_plate) context.\n", " 4. Finally call the [.predict(noise_dist, prediction)](http://docs.pyro.ai/en/latest/contrib.forecast.html#pyro.contrib.forecast.forecaster.ForecastingModel.predict) method.\n", "- To train a forecasting model, create a [Forecaster](http://docs.pyro.ai/en/latest/contrib.forecast.html#pyro.contrib.forecast.forecaster.Forecaster) object.\n", " - Training can be flaky, you'll need to tune hyperparameters and randomly restart.\n", " - Reparameterization can help learning, e.g. [LocScaleReparam](http://docs.pyro.ai/en/latest/infer.reparam.html#pyro.infer.reparam.loc_scale.LocScaleReparam).\n", "- To forecast the future, draw samples from a `Forecaster` object conditioned on data and covariates.\n", "- To model seasonality, use helpers [periodic_features()](http://docs.pyro.ai/en/latest/ops.html#pyro.ops.tensor_utils.periodic_features), [periodic_repeat()](http://docs.pyro.ai/en/latest/ops.html#pyro.ops.tensor_utils.periodic_repeat), and [periodic_cumsum()](http://docs.pyro.ai/en/latest/ops.html#pyro.ops.tensor_utils.periodic_cumsum).\n", "- To model heavy-tailed data, use [Stable](http://docs.pyro.ai/en/latest/distributions.html#stable) distributions and [StableReparam](http://docs.pyro.ai/en/latest/infer.reparam.html#pyro.infer.reparam.stable.StableReparam).\n", "- To evaluate results, use the [backtest()](http://docs.pyro.ai/en/latest/contrib.forecast.html#pyro.contrib.forecast.evaluate.eval_crps) helper or low-level loss functions." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import torch\n", "import pyro\n", "import pyro.distributions as dist\n", "import pyro.poutine as poutine\n", "from pyro.contrib.examples.bart import load_bart_od\n", "from pyro.contrib.forecast import ForecastingModel, Forecaster, backtest, eval_crps\n", "from pyro.infer.reparam import LocScaleReparam, StableReparam\n", "from pyro.ops.tensor_utils import periodic_cumsum, periodic_repeat, periodic_features\n", "from pyro.ops.stats import quantile\n", "import matplotlib.pyplot as plt\n", "\n", "%matplotlib inline\n", "assert pyro.__version__.startswith('1.9.0')\n", "pyro.set_rng_seed(20200221)" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "dict_keys(['stations', 'start_date', 'counts'])\n", "torch.Size([78888, 50, 50])\n", "12TH 16TH 19TH 24TH ANTC ASHB BALB BAYF BERY CAST CIVC COLM COLS CONC DALY DBRK DELN DUBL EMBR FRMT FTVL GLEN HAYW LAFY LAKE MCAR MLBR MLPT MONT NBRK NCON OAKL ORIN PCTR PHIL PITT PLZA POWL RICH ROCK SANL SBRN SFIA SHAY SSAN UCTY WARM WCRK WDUB WOAK\n" ] } ], "source": [ "dataset = load_bart_od()\n", "print(dataset.keys())\n", "print(dataset[\"counts\"].shape)\n", "print(\" \".join(dataset[\"stations\"]))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Intro to Pyro's forecasting framework\n", "\n", "Pyro's forecasting framework consists of:\n", "- a [ForecastingModel](http://docs.pyro.ai/en/latest/contrib.forecast.html#pyro.contrib.forecast.forecaster.ForecastingModel) base class, whose ``.model()`` method can be implemented for custom forecasting models,\n", "- a [Forecaster](http://docs.pyro.ai/en/latest/contrib.forecast.html#pyro.contrib.forecast.forecaster.Forecaster) class that trains and forecasts using ``ForecastingModel``s, and\n", "- a [backtest()](http://docs.pyro.ai/en/latest/contrib.forecast.html#pyro.contrib.forecast.evaluate.backtest) helper to evaluate models on a number of metrics.\n", "\n", "Consider a simple univariate dataset, say weekly [BART train](https://www.bart.gov/about/reports/ridership) ridership aggregated over all stations in the network. This data roughly logarithmic, so we log-transform for modeling." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "T, O, D = dataset[\"counts\"].shape\n", "data = dataset[\"counts\"][:T // (24 * 7) * 24 * 7].reshape(T // (24 * 7), -1).sum(-1).log()\n", "data = data.unsqueeze(-1)\n", "plt.figure(figsize=(9, 3))\n", "plt.plot(data)\n", "plt.title(\"Total weekly ridership\")\n", "plt.ylabel(\"log(# rides)\")\n", "plt.xlabel(\"Week after 2011-01-01\")\n", "plt.xlim(0, len(data));" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's start with a simple log-linear regression model, with no trend or seasonality. Note that while this example is univariate, Pyro's forecasting framework is multivariate, so we'll often need to reshape using `.unsqueeze(-1)`, `.expand([1])`, and `.to_event(1)`." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "# First we need some boilerplate to create a class and define a .model() method.\n", "class Model1(ForecastingModel):\n", " # We then implement the .model() method. Since this is a generative model, it shouldn't\n", " # look at data; however it is convenient to see the shape of data we're supposed to\n", " # generate, so this inputs a zeros_like(data) tensor instead of the actual data.\n", " def model(self, zero_data, covariates):\n", " data_dim = zero_data.size(-1) # Should be 1 in this univariate tutorial.\n", " feature_dim = covariates.size(-1)\n", "\n", " # The first part of the model is a probabilistic program to create a prediction.\n", " # We use the zero_data as a template for the shape of the prediction.\n", " bias = pyro.sample(\"bias\", dist.Normal(0, 10).expand([data_dim]).to_event(1))\n", " weight = pyro.sample(\"weight\", dist.Normal(0, 0.1).expand([feature_dim]).to_event(1))\n", " prediction = bias + (weight * covariates).sum(-1, keepdim=True)\n", " # The prediction should have the same shape as zero_data (duration, obs_dim),\n", " # but may have additional sample dimensions on the left.\n", " assert prediction.shape[-2:] == zero_data.shape\n", "\n", " # The next part of the model creates a likelihood or noise distribution.\n", " # Again we'll be Bayesian and write this as a probabilistic program with\n", " # priors over parameters.\n", " noise_scale = pyro.sample(\"noise_scale\", dist.LogNormal(-5, 5).expand([1]).to_event(1))\n", " noise_dist = dist.Normal(0, noise_scale)\n", "\n", " # The final step is to call the .predict() method.\n", " self.predict(noise_dist, prediction)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can now train this model by creating a [Forecaster](http://docs.pyro.ai/en/latest/contrib.forecast.html#pyro.contrib.forecast.forecaster.Forecaster) object. We'll split the data into `[T0,T1)` for training and `[T1,T2)` for testing." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "T0 = 0 # begining\n", "T2 = data.size(-2) # end\n", "T1 = T2 - 52 # train/test split" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "INFO \t step 0 loss = 484401\n", "INFO \t step 100 loss = 0.609042\n", "INFO \t step 200 loss = -0.535144\n", "INFO \t step 300 loss = -0.605789\n", "INFO \t step 400 loss = -0.59744\n", "INFO \t step 500 loss = -0.596203\n", "INFO \t step 600 loss = -0.614217\n", "INFO \t step 700 loss = -0.612415\n", "INFO \t step 800 loss = -0.613236\n", "INFO \t step 900 loss = -0.59879\n", "INFO \t step 1000 loss = -0.601271\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "CPU times: user 4.37 s, sys: 30.4 ms, total: 4.4 s\n", "Wall time: 4.4 s\n" ] } ], "source": [ "%%time\n", "pyro.set_rng_seed(1)\n", "pyro.clear_param_store()\n", "time = torch.arange(float(T2)) / 365\n", "covariates = torch.stack([time], dim=-1)\n", "forecaster = Forecaster(Model1(), data[:T1], covariates[:T1], learning_rate=0.1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Next we can evaluate by drawing posterior samples from the forecaster, passing in full covariates but only partial data. We'll use Pyro's [quantile()](http://docs.pyro.ai/en/latest/ops.html#pyro.ops.stats.quantile) function to plot median and an 80% confidence interval. To evaluate fit we'll use [eval_crps()](http://docs.pyro.ai/en/latest/contrib.forecast.html#pyro.contrib.forecast.evaluate.eval_crps) to compute [Continuous Ranked Probability Score](https://www.stat.washington.edu/raftery/Research/PDF/Gneiting2007jasa.pdf); this is an good metric to assess distributional fit of a heavy-tailed distribution." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "torch.Size([1000, 52, 1]) torch.Size([52])\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "samples = forecaster(data[:T1], covariates, num_samples=1000)\n", "p10, p50, p90 = quantile(samples, (0.1, 0.5, 0.9)).squeeze(-1)\n", "crps = eval_crps(samples, data[T1:])\n", "print(samples.shape, p10.shape)\n", "\n", "plt.figure(figsize=(9, 3))\n", "plt.fill_between(torch.arange(T1, T2), p10, p90, color=\"red\", alpha=0.3)\n", "plt.plot(torch.arange(T1, T2), p50, 'r-', label='forecast')\n", "plt.plot(data, 'k-', label='truth')\n", "plt.title(\"Total weekly ridership (CRPS = {:0.3g})\".format(crps))\n", "plt.ylabel(\"log(# rides)\")\n", "plt.xlabel(\"Week after 2011-01-01\")\n", "plt.xlim(0, None)\n", "plt.legend(loc=\"best\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Zooming in to just the forecasted region, we see this model ignores seasonal behavior." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(9, 3))\n", "plt.fill_between(torch.arange(T1, T2), p10, p90, color=\"red\", alpha=0.3)\n", "plt.plot(torch.arange(T1, T2), p50, 'r-', label='forecast')\n", "plt.plot(torch.arange(T1, T2), data[T1:], 'k-', label='truth')\n", "plt.title(\"Total weekly ridership (CRPS = {:0.3g})\".format(crps))\n", "plt.ylabel(\"log(# rides)\")\n", "plt.xlabel(\"Week after 2011-01-01\")\n", "plt.xlim(T1, None)\n", "plt.legend(loc=\"best\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We could add a yearly seasonal component simply by adding new covariates (note we've already taken care in the model to handle `feature_dim > 1`)." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "INFO \t step 0 loss = 53174.4\n", "INFO \t step 100 loss = 0.519148\n", "INFO \t step 200 loss = -0.0264822\n", "INFO \t step 300 loss = -0.314983\n", "INFO \t step 400 loss = -0.413243\n", "INFO \t step 500 loss = -0.487756\n", "INFO \t step 600 loss = -0.472516\n", "INFO \t step 700 loss = -0.595866\n", "INFO \t step 800 loss = -0.500985\n", "INFO \t step 900 loss = -0.558623\n", "INFO \t step 1000 loss = -0.589603\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "CPU times: user 4.5 s, sys: 34.3 ms, total: 4.53 s\n", "Wall time: 4.54 s\n" ] } ], "source": [ "%%time\n", "pyro.set_rng_seed(1)\n", "pyro.clear_param_store()\n", "time = torch.arange(float(T2)) / 365\n", "covariates = torch.cat([time.unsqueeze(-1),\n", " periodic_features(T2, 365.25 / 7)], dim=-1)\n", "forecaster = Forecaster(Model1(), data[:T1], covariates[:T1], learning_rate=0.1)" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "samples = forecaster(data[:T1], covariates, num_samples=1000)\n", "p10, p50, p90 = quantile(samples, (0.1, 0.5, 0.9)).squeeze(-1)\n", "crps = eval_crps(samples, data[T1:])\n", "\n", "plt.figure(figsize=(9, 3))\n", "plt.fill_between(torch.arange(T1, T2), p10, p90, color=\"red\", alpha=0.3)\n", "plt.plot(torch.arange(T1, T2), p50, 'r-', label='forecast')\n", "plt.plot(data, 'k-', label='truth')\n", "plt.title(\"Total weekly ridership (CRPS = {:0.3g})\".format(crps))\n", "plt.ylabel(\"log(# rides)\")\n", "plt.xlabel(\"Week after 2011-01-01\")\n", "plt.xlim(0, None)\n", "plt.legend(loc=\"best\");" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(9, 3))\n", "plt.fill_between(torch.arange(T1, T2), p10, p90, color=\"red\", alpha=0.3)\n", "plt.plot(torch.arange(T1, T2), p50, 'r-', label='forecast')\n", "plt.plot(torch.arange(T1, T2), data[T1:], 'k-', label='truth')\n", "plt.title(\"Total weekly ridership (CRPS = {:0.3g})\".format(crps))\n", "plt.ylabel(\"log(# rides)\")\n", "plt.xlabel(\"Week after 2011-01-01\")\n", "plt.xlim(T1, None)\n", "plt.legend(loc=\"best\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Time-local random variables: `self.time_plate`\n", "\n", "So far we've seen the ``ForecastingModel.model()`` method and ``self.predict()``. The last piece of forecasting-specific syntax is the ``self.time_plate`` context for time-local variables. To see how this works, consider changing our global linear trend model above to a local level model. Note the [poutine.reparam()](http://docs.pyro.ai/en/latest/poutine.html#pyro.poutine.handlers.reparam) handler is a general Pyro inference trick, not specific to forecasting." ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [], "source": [ "class Model2(ForecastingModel):\n", " def model(self, zero_data, covariates):\n", " data_dim = zero_data.size(-1)\n", " feature_dim = covariates.size(-1)\n", " bias = pyro.sample(\"bias\", dist.Normal(0, 10).expand([data_dim]).to_event(1))\n", " weight = pyro.sample(\"weight\", dist.Normal(0, 0.1).expand([feature_dim]).to_event(1))\n", "\n", " # We'll sample a time-global scale parameter outside the time plate,\n", " # then time-local iid noise inside the time plate.\n", " drift_scale = pyro.sample(\"drift_scale\",\n", " dist.LogNormal(-20, 5).expand([1]).to_event(1))\n", " with self.time_plate:\n", " # We'll use a reparameterizer to improve variational fit. The model would still be\n", " # correct if you removed this context manager, but the fit appears to be worse.\n", " with poutine.reparam(config={\"drift\": LocScaleReparam()}):\n", " drift = pyro.sample(\"drift\", dist.Normal(zero_data, drift_scale).to_event(1))\n", "\n", " # After we sample the iid \"drift\" noise we can combine it in any time-dependent way.\n", " # It is important to keep everything inside the plate independent and apply dependent\n", " # transforms outside the plate.\n", " motion = drift.cumsum(-2) # A Brownian motion.\n", " \n", " # The prediction now includes three terms.\n", " prediction = motion + bias + (weight * covariates).sum(-1, keepdim=True)\n", " assert prediction.shape[-2:] == zero_data.shape\n", " \n", " # Construct the noise distribution and predict.\n", " noise_scale = pyro.sample(\"noise_scale\", dist.LogNormal(-5, 5).expand([1]).to_event(1))\n", " noise_dist = dist.Normal(0, noise_scale)\n", " self.predict(noise_dist, prediction) " ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "INFO \t step 0 loss = 1.73259e+09\n", "INFO \t step 100 loss = 0.935019\n", "INFO \t step 200 loss = -0.0290582\n", "INFO \t step 300 loss = -0.193718\n", "INFO \t step 400 loss = -0.292689\n", "INFO \t step 500 loss = -0.411964\n", "INFO \t step 600 loss = -0.291355\n", "INFO \t step 700 loss = -0.414344\n", "INFO \t step 800 loss = -0.472016\n", "INFO \t step 900 loss = -0.480997\n", "INFO \t step 1000 loss = -0.540629\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "CPU times: user 9.47 s, sys: 56.4 ms, total: 9.52 s\n", "Wall time: 9.54 s\n" ] } ], "source": [ "%%time\n", "pyro.set_rng_seed(1)\n", "pyro.clear_param_store()\n", "time = torch.arange(float(T2)) / 365\n", "covariates = periodic_features(T2, 365.25 / 7)\n", "forecaster = Forecaster(Model2(), data[:T1], covariates[:T1], learning_rate=0.1,\n", " time_reparam=\"dct\",\n", " )" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "samples = forecaster(data[:T1], covariates, num_samples=1000)\n", "p10, p50, p90 = quantile(samples, (0.1, 0.5, 0.9)).squeeze(-1)\n", "crps = eval_crps(samples, data[T1:])\n", "\n", "plt.figure(figsize=(9, 3))\n", "plt.fill_between(torch.arange(T1, T2), p10, p90, color=\"red\", alpha=0.3)\n", "plt.plot(torch.arange(T1, T2), p50, 'r-', label='forecast')\n", "plt.plot(data, 'k-', label='truth')\n", "plt.title(\"Total weekly ridership (CRPS = {:0.3g})\".format(crps))\n", "plt.ylabel(\"log(# rides)\")\n", "plt.xlabel(\"Week after 2011-01-01\")\n", "plt.xlim(0, None)\n", "plt.legend(loc=\"best\");" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "image/png": 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jxmjcuLFGx6AKAwMDpXkNhYWFJf+vaF0Aaq2/bds2pKamYtWqVWrvW+/evQFQTtPw4cPRqlUrGBsbq9U7RBUMw9RaLxYOjjcBTnng4OCoUebOnYt9+/ZhwYIF6NKlC8zMzMDj8TBu3DiVibsV4ePjA319fVy/fh0uLi6wtbVFs2bN4Ofnhx9++AFFRUW4ceNGKes0+zsHDx5UKlyySZrscosXL1Zp2W/atGmpv0eNGlWSR7Bu3Tq1jmHAgAGws7PDb7/9hh49euC3336Dvb19SfJmZVQkvFUFdc8Pi56entKSsFu2bMGHH36IY8eO4fz585g3bx7WrVuHwMDAUsqGQCBQuh9lBXttwuYWlFVQmjdvDoB6LGiCh4dHyfUaOnQoBAIBli1bht69eyuN9+/Rowesra3V2rauri46duyIjh07olmzZpgyZQoOHz6Mr776SuU6ubm5yM3NrXTbAoEANjY2FS7TqFEjpSVO2e8Uy6IqW1dx2bLrW1paQk9PD1lZWfj2228xZ84cZGdnl3iAcnNzwTAMoqOjYWhoWGGyeJMmTdCuXTscOnSoWspDRkaG2teGg4ODUx44ODgqwNXVFRcvXkROTk4p78OzZ89K/s+iynL3zz//YPLkydiyZUvJd4WFheWSaNVFV1cXvr6+uHHjBlxcXEqq3Pj5+aGoqAiHDh1CUlJSqWRp1spra2tboYDOWm6FQqHagvzcuXPRtGlTfPnllzAzM8OyZcsqXUcgEGDChAnYv38/NmzYgKNHj2L69Okqheqq4urqWuJVUKRsJSh1z486eHt7w9vbG1988QVu376Nbt264ccff8S3335bre2ysN4hxfuNTeBlq+8ow8XFBQYGBiXVjViaNWsGT09PHDt2DDt27FDaoEwdVqxYgZ9//hlffPFFucpR1YFVRCrqVwAAmzdvVsuC7+rqWmmlMzYEUCqVllIS79y5A0NDwxJPjzIcHR1hY2OjtPP63bt3S5L7MzIykJubi40bN2Ljxo3llnV3d8fw4cMrbTxZUFBQafWnyoiKilJZAY2Dg6M8XM4DBweHStgmWN99912p77dt2wYej4dBgwaVfGdkZKRUIRAIBOUsyrt27aowxKMy/Pz8cOfOHVy5cqVEebC2tkaLFi2wYcOGkmVYBgwYAFNTU6xduxYikajc9tjOt7a2tujVqxd++uknpcKaqg65K1euxOLFi7F8+XLs3r1brWOYNGkSMjIyMHPmTOTm5qpVZUlTBg8ejMDAQNy9e7fku5SUlHJx7+qen4rIzs6GWCwu9Z23tzf4fH61hTtFEhISSlW9ys7Oxq+//oq2bdtWGLIkFArh4+OjVKhdtWoV0tLS8NFHH5U7BgA4f/48Tp48WeF+mZubY+bMmTh37hxCQkLUPyAZV65cUep5OX36NIDyoWZl0WbOw5gxY5CUlFSqBG5qaioOHz4Mf3//UvkMkZGR5crTjh49GidPnkRsbGzJd5cuXUJ4eDjGjh0LgJ61I0eOlHv17t0b+vr6OHLkCJYvXw6AqnspC2m7e/cuwsLClHp61CUrKwuRkZHo2rVrlbfBwfG2wXkeODg4VOLv74/evXtjxYoViI6ORps2bXD+/HkcO3YMCxYsKBW33aFDB1y8eBFbt26Fg4MD3N3d0alTJwwdOhQHDx6EmZkZvLy8EBAQgIsXL5aEkVQFPz8/rFmzBrGxsaWUhB49euCnn36Cm5tbqTAZU1NT7N69G5MmTUL79u0xbtw42NjY4NWrVzh16hS6detWoiB9//336N69O7y9vTF9+nQ0btwYSUlJCAgIQFxcHEJDQ5Xu06ZNm5CVlYWPP/4YJiYmlSoD7dq1Q6tWrXD48GG0aNGiXAlRbfDZZ5/h4MGDGDhwIObPnw8jIyPs2bMHrq6uePjwYclympwfVVy+fBmffPIJxo4di2bNmkEsFuPgwYMQCAQYPXq01o6pWbNmmDZtGoKCgmBnZ4dffvkFSUlJ2LdvX6XrDh8+HCtWrEB2dnapPI733nsPYWFhWLNmDR48eIDx48eXdJg+e/YsLl26hN9//73S7c+fPx/bt2/H+vXr8eeff2p0XHPnzkV+fj5GjhyJ5s2bo7i4GLdv38Zff/0FNze3krKkqtBmzsOYMWPQuXNnTJkyBU+ePCnpMC2RSMp5N9gyqYrejM8//xyHDx9G7969MX/+fOTm5mLTpk3w9vYuOQ5DQ0Ol3eiPHj2Ku3fvlvpfbm4unJ2d8d5776Fly5YwMjJCWFgY9u3bBzMzs3L5SSdOnCh5TkUiER4+fFji+Ro2bBhat25dsuzFixfBMAyGDx9e5fPFwfHWUTdFnjg4OOojyjpM5+TkMAsXLmQcHBwYoVDIeHh4MJs2bSrp4Mry7NkzpkePHoyBgQEDoKQ8YkZGBjNlyhTG2tqaMTY2ZgYMGMA8e/asXFlRTTpMZ2dnMwKBgDExMWHEYnHJ97/99hsDgJk0aZLS9a5cucIMGDCAMTMzY/T19ZkmTZowH374IXPv3r1Sy0VGRjIffPABY29vzwiFQsbR0ZEZOnQo888//5Qso6zDtEQiYcaPH8/o6OgwR48eZRim4g7TGzduZAAwa9eurfSYWVxdXZkhQ4ao/F/ZspQPHz5kevbsyejr6zOOjo7M6tWrmb179yrtMK3O+VFVSvPly5fM1KlTmSZNmjD6+vqMpaUl07t3b+bixYulloOKDtNl911VqdYhQ4Yw586dY1q3bs3o6ekxzZs3r7Q8LEtSUhKjo6PDHDx4UOn/L126xAwfPpyxtbVldHR0GBsbG8bf37+k5C/DqO4wzfLhhx8yAoGgpBStqg7TZTlz5gwzdepUpnnz5oyxsTGjq6vLNG3alJk7d26td5hmGIZJT09npk2bxlhZWTGGhoZMz549lXZTd3V1VVr+9dGjR0z//v0ZQ0NDxtzcnJk4cSKTmJhY6e8qu7+KioqY+fPnM61bt2ZMTU0ZoVDIuLq6MtOmTVPaJZ0tJ6zstW/fvlLLvvfee0z37t0r3S8ODg45PIapwQw1Dg4ODg6V7NixAwsXLkR0dLTSCkQcpXFzc0OrVq0qDSGqiGnTpiE8PLykMhfH20tiYiLc3d3x559/cp4HDg4N4HIeODg4OOoAhmGwd+9e9OzZk1McapGvvvoKQUFBXEdhDmzfvh3e3t6c4sDBoSFczgMHBwdHLZKXl4fjx4/jypUrCAsLw7Fjx+p6l94qXFxcSvoNcLzdrF+/vq53gYOjQcIpDxwcHBy1SEpKCiZMmABzc3N8/vnnGDZsWF3vEgcHBwcHh9pwOQ8cHBwcHBwcHBwcHGrB5TxwcHBwcHBwcHBwcKgFpzxwcHBwcHBwcHBwcKgFl/OgBKlUioSEBJiYmIDH49X17nBwcHBwcHBwcHBoBYZhkJOTAwcHB/D5mvsROOVBCQkJCXB2dq7r3eDg4ODg4ODg4OCoEWJjY+Hk5KTxepzyoAQTExMAdFJNTU3reG84ODg4ODg4ODg4tEN2djacnZ1L5F1N4ZQHJbChSqamppzywMHBwcHBwcHB8cZR1dB8LmGag4ODg4ODg4ODg0MtOOWBg4ODg4ODg4ODg0MtOOWBg4ODg4ODg4ODg0MtuJyHKsIwDMRiMSQSSV3vCocShEIhBAJBXe8GBwcHBwcHB8cbBac8VIHi4mK8fv0a+fn5db0rHCrg8XhwcnKCsbFxXe8KBwcHBwcHB8cbA6c8aIhUKkVUVBQEAgEcHBygq6vLNZKrZzAMg5SUFMTFxcHDw4PzQHBwcHBwcHBwaAlOedCQ4uJiSKVSODs7w9DQsK53h0MFNjY2iI6Ohkgk4pQHDg4ODg4ODg4twSVMV5GqtPPmqD04bxAHBwcHB8dbyt27wIsXdb0Xbyyc54GDg4ODg4ODg+PNgGGAiAh6d3ICDAzqeo/eODjzOQcHBwcHBwcHx5tBfj6Qlwe8egU8eVLXe/NGwikPbxEMw2DGjBmwtLQEj8dDSEhIXe8SBwcHBwcHB4f2yMkBCgoACwsgNBTIyqrrPXrj4JSHt4izZ89i//79OHnyJF6/fo1WrVrV9S5VCTc3N2zfvr2ud4ODg4ODg4OjvpGdDYhEgIMDkJYGPHxYc79VWEi/9ZbBKQ9vEZGRkWjUqBG6du0Ke3t76OholvLCNsbj4ODg4ODg4KiX5OTQO48H2NkBjx4BSUna/53iYuD8eeDpU+1vu57DKQ/agGEovq62Xwyj9i5++OGHmDt3Ll69egUejwc3NzcUFRVh3rx5sLW1hb6+Prp3746goKCSda5evQoej4czZ86gQ4cO0NPTw82bNyGVSrFu3Tq4u7vDwMAAbdq0wT///FPq9x4/foyhQ4fC1NQUJiYm8PPzQ2RkJAAgKCgI/fr1g7W1NczMzNCzZ08EBwcrnE4GX3/9NVxcXKCnpwcHBwfMmzcPANCrVy/ExMRg4cKF4PF4XFUlDg4ODg4ODjkpKYCuLn22sKAciJAQjWQmtXjwAHj8WK6svEVw1Za0QX4+UBedjHNzASMjtRbdsWMHmjRpgj179iAoKAgCgQCfffYZ/v33Xxw4cACurq7YuHEjBgwYgIiICFhaWpasu2zZMmzevBmNGzeGhYUF1q1bh99++w0//vgjPDw8cP36dbz//vuwsbFBz549ER8fjx49eqBXr164fPkyTE1NcevWrRKvRU5ODiZPnoxdu3aBYRhs2bIFgwcPxosXL2BiYoJ///0X27Ztw59//omWLVsiMTERoaGhAID//vsPbdq0wYwZMzB9+nTtn1MODg4ODg6OholUSsqDYoUlR0fg+XOgeXPA1VU7vxMbCwQHk0LyFuZUcMrDW4KZmRlMTEwgEAhgb2+PvLw87N69G/v378egQYMAAD///DMuXLiAvXv3YsmSJSXrfvPNN+jXrx8AoKioCGvXrsXFixfRpUsXAEDjxo1x8+ZN/PTTT+jZsye+//57mJmZ4c8//4RQKAQANGvWrGR7ffr0KbVve/bsgbm5Oa5du4ahQ4fi1atXsLe3R9++fSEUCuHi4gJfX18AgKWlJQQCAUxMTGBvb19zJ4yDg4ODo2EhlQKJifSuowMIBMrf+XwKaeF488jLI4OuiYn8OyMjEvIfPCBFQsOQ7XIUFAABARS2ZGPDKQ8cVcTQkLwAdfG7VSQyMhIikQjdunUr+U4oFMLX1xdPy8Tv+fj4lHyOiIhAfn5+iTLBUlxcjHbt2gEAQkJC4OfnV6I4lCUpKQlffPEFrl69iuTkZEgkEuTn5+PVq1cAgLFjx2L79u1o3LgxBg4ciMGDB8Pf31/jHA0ODg4OjrcAhgHi46myTmQkIJGQgiAQKH/n8wGhkEJbdHXJSt2yJdCoUV0fCUd1yc4m4d7WtvT3jo7Ay5d0f3h6Vn37DAPcvw9ERwMeHqQ4sEnTKmSeNxFOGtMGPJ7a4UMNESOFY8uVKUmnTp2Co6NjqeX09PQAAAaVNGSZPHky0tLSsGPHDri6ukJPTw9dunRBcXExAMDZ2RnPnz/HxYsXceHCBcyZMwebNm3CtWvXVCokHBwcHBxvIUlJVE3n+XMS4BwdAT09UiCkUvm74mexGCgqkn9XUABERQHdu1NoS0P3SiQlAWZmgL5+Xe9J7ZOTQ9e0rLFRT4/OR3AwhS5V9dxERdE2WA+Gnp5cYXmL5BNOeXhLadKkCXR1dXHr1i24ymIARSIRgoKCsGDBApXreXl5QU9PD69evULPnj2VLtO6dWscOHAAIpFIqbB/69Yt/PDDDxg8eDAAIDY2FqmpqaWWMTAwgL+/P/z9/fHxxx+jefPmCAsLQ/v27aGrqwuJRFLFI+fg4ODgaPBkZJDS8OQJhak4OJTOPeRrWA/m9Wvg3DkgPR3o2FGecNvQSE8Hzpyh89GnT/VDdBoa2dmq/9eoEXkenj8H2rTRfNs5ORSuJBAApqb0na4uKaKFhfLv3gLesruKg8XIyAizZ8/GkiVLYGlpCRcXF2zcuBH5+fmYNm2ayvVMTEywePFiLFy4EFKpFN27d0dWVhZu3boFU1NTTJ48GZ988gl27dqFcePGYfny5TAzM0NgYCB8fX3h6ekJDw8PHDx4ED4+PsjOzsaSJUtKeSv2798PiUSCTp06wdDQEL/99hsMDAxKlBw3Nzdcv34d48aNg56eHqytrWv8fL0xZGZSnGZZly5HxWRk0MTh4lLXe8LB8XaTk0MKQ1gYPZf29oCTU/W326gRCZ63b9N2/fzIet+QYBiyiicnU38DExOgc+eG70nRhJQU1V4FHR26psHBgLu7ZsK+VAoEBQEJCRSuxCIUkieroKB6+93A4Eq1vsWsX78eo0ePxqRJk9C+fXtERETg3LlzsLCwqHC91atXY+XKlVi3bh1atGiBgQMH4tSpU3B3dwcAWFlZ4fLly8jNzUXPnj3RoUMH/PzzzyVeiL179yIjIwPt27fHpEmTSsrFspibm+Pnn39Gt27d0Lp1a1y8eBEnTpyAlZUVAErgjo6ORpMmTWBjY1NDZ+cNpLgYuHwZ+Pdf4NKlmql7/SZSVARcuULnri5ymzg4OEg4e/CAxq/r10kQ9PQEzM219xumpiRUPnsGnDxJFXUaEq9ekWLl7Ez9De7cob/fFiQSIDW1dKWlstja0jKPH2u27RcvyNPl5ESeBxYej5S2t0x54DGMtgvfNnyys7NhZmaGrKwsmJbRTAsLCxEVFQV3d3fov43xhA0E7jopITiYBGAbGxo8DQ2BZs0oUZCrXKWawEDg5k2yPL3zDtChQ13vUd3AMOSarySniYNDqxQXAxERpDgkJJCyYGureViSJkilJIjr6gJdu9IYWZO/pw1EIuDECSAujhQggCpPSSTA4MHa95qKROT9cXEB6ov3PysL+OMP8i5UVD4/PZ3GslGjaD6sjIwM4PhxUhDK5HoCAMLDaW5o27bKu17bVCTnqkM9fxo4ODi0QkoKVYiwtKRXs2ZkZQsJAf77jzwRiYl1vZeaU1xMpflqiuhoOm+2toCVFVVzeQsbAgGge+XMGRJGODhqg8hI4Ngxuu9ycihcxN6+5gV5Ph9wcyPvxsWLwI0bJGzWZ54/p2pCisKtvT0J+VeukMFIWxQWAteu0bwha/5aL8jJIQG/MgOHpSUtGxpaeeM4iYQ8OCkpqqtx8flvnVeaUx44ON50JBKK1czKKm1lMTUlJcLMrOEqEYGBFF5QUZJcVcnNpeQ4qZS6lFpbUxzx8+fa/636TmwsnevERMqb4eCoaeLigPPnKbzS3Z2EYsVwkdrA1pYE8Dt3gLNnyWJdH8nOJiOHqWn5RG9XVxq3rl7VjqElL4/mieBgqjT08mX9MShkZ9N4rc594uhI4WlxcRUv9+QJhTi5uKhWWnV1a2YOqsdwygMHx5tOeDgNkqo6aypTIi5erP9KREoKDeyRkTQxatMyKJWSwBAXR/HDAE0clpYU9/o2eR+ys8nyKhKRVS8tra73iONNRyQC7t2jfCNX17otgWlsDDRtSuPMyZNUqrO+8fAhKVl2duX/x+OR8hUVJX+Oq0pWFlWkevIEaNyYFKu0tPozJmRlqZ8cbmxMSk9IiGrlJyWF5gFT04q9Gbq6b12jOE554OB4k8nOBu7epT4kleV+KCoRDx/WfyUiLIysYJ6e5A24eZOqXmiD58/pHDg7l7ZiWVuT+/9t8T6IxVR9Jj6eLG88Hk2oHPWP3FyykL54QWVHs7Prj0VYU8LDKc+BVdzrGqGQFIicHAqhCg6uP+f29WsaCxs1Um0Z19GhMKywMBKGpVLNfyclhRSHly+BJk3I62BgQAaF+jJHJCdr1r/BwYHus5cvy/9PJCJva3a2cqVMEV1dOg/VUcwaGFypVg6OshQXU93w/HyyZltbN8z6zWwnzORkUgrUxdSUXtnZFBMaHg60a1e/Sv69fk3eFHt7GrhdXMiCZGRU/f1MS6NwJUPD8s0f+Xy6Hx4+lOeN1DUFBRROoSyRr7o8eAA8ekSCh0BA1rpXr4AuXep/AunbglRKCkNQED0XfD4Ji/r69DI3p3BFExO6fkZG9G5gUH+eZ0Wys8nrYGJSv3ot8Pk0zrAhQOnpQLdudVtAQCKhMb6goPJytfr6JCwHBZGByNtb/d9JSKBiG8nJpEQpGlQMDCg3rHXrKh2C1hCLKbFZk+uhr0/32IMHdG1ljW4ByBsPurtX/pywYUtvUaM4TnngePsoKqKHnFUQCgrIgp2ZSYNPQQEtU1RElgRXV2DAgIZX8zsqiixNTk5VE/RYJSIjgyYca+vS9a3rCoah4yoslFsmDQ3lscnGxppNjIqIRKQ4ZGSoPlYrK3komK9v1X5HW0ilwK1bZD3z86OqMNoiKoq8VjY2cmueiQm557OztVsik6NqpKWRoP3kCV0jDw8S7EQiej4KC8lrFBkpTwzV1SUBy9CQwvBsbEjwqy9CT0iI5gaP2sTKis5fcDCd3969yxsZaovISFIc1fXQmJrSvHbzJo2TbFWmioiOJsUhO5s8DmXnEnNzuaerLo0pbLK0paVm6zVqRGNdeLh83khIkM956iiwbKO4goL6YVCqBTjlgePtIDOTBM64uNLKgVhMVgUejwYAPT16t7CgzzweCWaXLwP9+9fdJKEpBQUk+PF4FZesUwcLC1Kubt2igVnWb6POiI8ni1DZyhdmZvKJ0ciIYnI1hbU2ubqqtjbx+XQOHj0Cmjev28kiPJzua11dSmIUiahzanUtyhkZdB6B0pOxoSFNrGlpnPJQl4hEpDAEBdHY5uxM14ZFKKSXiUnp9RiGPKuFhfRMp6fTfWxoCLRoUauHoJT4eNqfikJw6gOGhjS+PHlCCnyfPtUfZzWloIAURz09zUJ1bGzIe3jtGo2TFTUMff6cvCxiMR2vsnHFxITClpKS6ofyoGlpdvY5YRvH6eiQAamwUH1vLtsorr5X5NIi9fjp5ODQAkVFNCj8+y9ZpXNzaXCwsCAB0dOTLFweHvS3vT0JS0ZGtJxAQINmRASVu2sog0NICE0Q2ooZdnSkWP+bN+mc1hVSKYVSicXKJ2tbW1rm6lXN43Dj40nhsrIq7b5WhpUVnY9nzzT7DW2SkUExuYaG5HI3MaHjvn+/ajHNLMXFpCgmJZUPheDzubyHuiY+Hjh1Crhwgf5u1qy04lARPB7d22ZmNNa5utJYFxJSt881QM/0/ft0/zUEL6+eHoXwPH9OVaFqu9rOo0d0Lzg4aL6uszMpjlevKi/+wDBkSGHvMTbfSRl8Ps2T8fGa74c2yc6m/a6K0mlnR+Pd48cUwhQZqVlfjLewURynPHCURiqlOEqRSG6Zb4h9BBmGjuHCBfIaADTJ2tuT4sAqB+ogFJIC8fQpdTYtLq65/dYG8fEkDNjba6+0IVuxIzycrF11dU+8ekWKXEUTprMzTSRXrqhfAaOggBKDi4rU86ywuQ9hYXVToo+tPZ6aKvfAWFvTvX3jBilBVVEg2DyZp08pz0HZRGxoSKVbG+K40JDJzyeL6PHjFEri7k5CT3W9TPb28tCmuoRNkq4sdr8+IRRSKM/LlzTX1FYZ49RUGuOtras2xvN4NKfFxNB4oTinSaXk0bp8mZ51dZQTMzO6J+tSAc3MrLq3is8nw9PDh2RsbNRI8zA+tonmWwKnPLxNMAwNDGKx3HWdn0/W+KwsskQovjIy6D0ri4SrSqpLXL16FTweD5l1WQeedcuzLszsbLIO2dpWb5LV1SVhKjSUrLLaquqjbUQiEhyLikiQ1Ca6ujSR3LtHcba1jURCgztQsaWVx6NrFR9PrvnKrEEMQ5NldLTqcrbKsLKi8J2nT9VfR1s8eUKvsuFVbAz77dv00vQ+jYigc2Fvr9r7YmJC48LbVK62LmEYebO0GzfI8NGkifaSiXV05N6HuhJ+cnJoXDEyqtzrV99gFYioKPJA1HQvCIYh63hWVvVCSAUCUkAfP5b3sxGJaH67cUM+lqiDuTkJ78nJVd+f6qJppaWyWFrKG71VJSRTIHirGsXVqfJw/fp1+Pv7w8HBATweD0ePHlW57KxZs8Dj8bB9+/YKtymRSLBy5Uq4u7vDwMAATZo0werVq8G8zVYykQjIzkav7t2xYPZsuWKQmUnCdW4uTRqscsDn08Skr08PRFGRXLnIygIKC9GrZ08sWLCgLo+qPGIxTUKZmaRA6OiQBUFb1nd9fbJq379P4SLVCQ2pKR4/JitYTZU4NDWlyf3mTe12LFWH6GgSotSJQ2XDzZ49q7yEa2QkTcYODup7owC59+HRo9r1PijWHlc2WZqZkUU6MJCOXd3ygampJDgIhRVPnkZGFC9fX2q7v8lkZZEF+ORJGn+bNdO+UQAgZfH167rzPoSGUtiIvX3d/H510dEhI9WrV1TOtCbHxpgYMlg4Olbf66SnR9u5f5/GwGvXaGxp1Eiz+4yN+a+rkq3FxTTvV6fyFY9H11CTcCVF3rJeD3WaMJ2Xl4c2bdpg6tSpGDVqlMrljhw5gsDAQDio4T7bsGEDdu/ejQMHDqBly5a4d+8epkyZAjMzM8ybN0+bu1//kUjI6lrWa6CjI08SVoBhGEgkEugoCtsCgVz4ZhOCCgrk3ouiIho46jK5TSKRe1EkEtqfmirxZ2REA+vdu/QbHTvWn3KHqalkvTM3r9kShw4O5Hm4eRMYNKh2LIViMVlGBQL1f08oJMv8w4eUH6GshGtWFlnohcKqJftZW1PM89OnQKdOmq+vKWw1qOzsiitfmZrSMxkURM+En1/F90RhIV3PtLTKK2oJBGT9TEtTr1pLbcDmqwgE9IyyFmxd3dIvxe+EQrofWIurSERjWnFx6c/s32zpZj6fqmzVZHKoVEr3VFAQKYtOTjWbkKujQ9t/8ICs6NWx4GpKQgKF/9nb1+8k6coQCEj4fPmSFIh+/SpORq4KxcU0xgPaux9MTOR5TkVFJDyrm0NTdjsvXwIdOtT+dWQjDdT1lNQEb1mX6TpVHgYNGoRBgwZVuEx8fDzmzp2Lc+fOYciQIZVu8/bt2xg+fHjJsm5ubvjjjz9w9+5dreyzMhiGQX5+fo1tXxWGhobgKRNc2di7/Hya9HR08OGiRbh2+zau3b6NHXv2AAD2ff89pnz8MU7//Te+WLMGYU+e4Px//2H/778jMysLRw8dKtnkguXLERIWhqsnT+LDOXPk29q9GwAQ9ehRiYXz/v37WLp0KZ48eYK2bdti37598PT01P4JkEppsFM4zpJJryYb+Jia0vZv36YBo23bmvstdZFIaFLJzKz5EoeK+Q/W1lTrvKYVqMhIsrhpElYE0CRoZ0fWNCOj0rXIJRKyziclVf2c8XilKy/VdKLnw4d03tUR2o2NSRAIDiblq2dP5UIhw5Dg/eIFCY7qXEs278HHR/Nj0DYZGZTfkpxMlkeRSHmulo6O/CUUyt/Z5UUiuifEYuXrCwS0Tn4+/eY772heFlIdRCIaW+7fp2vYrFntCGN2dnQPvHhR9VLHmsImSRcWNqxcB1UIBPIciPPn6R4pWxWuOjx/Th7YqlSSqwgrK9p3Q8OqG57MzcmAlZZW+0J8djbJAnUZ8qbYKK6+lD2uQep1qVapVIpJkyZhyZIlaKlm/fKuXbtiz549CA8PR7NmzRAaGoqbN29i69atKtcpKipCkUKiT7aG2mN+fj6Ma7tMG4Dc3FwYlS0dyjY4Yy1ksnKjO9atQ3hEBFp5eeGb5csBAI9llWKWrVqFzatXo7GbGyzUiPUrta1lywCxGDbm5oiWdd1d8fnn2LJlC2xsbDBr1ixMnToVt27d0uqxo7iYQieKikodZ61hYUGCxo0bNGh4edXebyvjxQuyVFZUFUObCIVyd7eNDVWtqimKiymsgbUaa4qZGW2DrW3OTrxPnlCYl6tr9YQz1vvw7FnNeh/i4zWrPQ6QMODmRkqHRAL06lXeqvj8OSkYDg7qT3omJiQo5OXVbfniggJ5ZS0PD9XXkWHkSoHiq6hIrhSwYZpCIb2r2pZEQsrs2bMkHFbWfVbT47l+na6Xo2P5Uqs1iUBAhpHQULKg10bzsxcvSBnW1ChQn+HzaYxhcyD69tVOA8fsbBpvzcxqRjitbullQ0OSPZKSal95yMmpeqUlbfGWNYqr18rDhg0boKOjo1G40bJly5CdnY3mzZtDIBBAIpFgzZo1mDhxosp11q1bh1WrVmljl+sOsVgeosQwdCMrPEhmZmbQ1dWFoYEB7GWT3TNZ0us3n3+Ofr17q/1TpbalGKMqixdfs3w5evr5AXw+li1bhiFDhqCwsBD62nKFSyQ0WIjFta80KGJtTftw7Rqd76ZN62Y/srPJcmxgULvdTk1NKV+G7f9QUxNGRATFElfH2mZjQz0+rl6lSY7HI6+DqWn1zxmPJ6+8VFPeh8JC2l9Nao+z6OvLEyMlEmpqxRo7kpJIqTIw0CwMx9iYwmnS0upOeRCLSXl/8YKevYoEBx5P3vuguiiGp5w9q13h8OpVeZ+RuuhcrOh9qOmOwbm5JAw3xCTpymAViOhoCmHq27fqsfQsISH0zNXX5nkAjTXR0UCrVrX7uxkZ2sttrCpvWaO4eqs83L9/Hzt27EBwcLDy0BwV/P333zh06BB+//13tGzZEiEhIViwYAEcHBwwefJkpessX74cixYtKvk7OzsbzhoknBoaGiK3DrLsDQ0NKXSHDVESi+VWMw3w0VbYjWzybt20KT1EBgZoJHPZJicnw6W6gycL6xqszbhcVdjbk1B65QoNHto6RnVhGLIaVyf0pjo0akTC/Y0bwODB2r8mhYUUh21sXH3Bz9GRBL4rV0hYycnRXsdsKyvyPDx9SrkV2iY4mPa9SZOqra+nJ08gF4lImBEKSXFgK5JpgkBAY09aWu3f8wDd9/fukYXe1bX2LX18Pl2LmBhSIPr0qV7+R2oqJUbHxNB268pyKRCQ8hsSQvdEVWLf1SU0lPIdatJrWZewVd9iYuQhTFW9RxISGkbzPLbbdE5O7XrN2JDFuoQNgXxLyrXWW+Xhxo0b5QROiUSCTz/9FNu3b0d0dLTS9ZYsWYJly5Zh3LhxAABvb2/ExMRg3bp1KpUHPT096FXD8sHj8cqHD9U0bEnSvDx6FwiqLLiV3Xc+n1+uOpVI3YotAIT6+rRfurolip9UW5WJ2MRFTari1DROTmRtuXQJGDhQuzGulREdLQ9xqItJhZ0gIyPJ++Hnp11PUHg4TUba8Oqw+xoRQYKvNj1FPB55N9jcB212X46JIQXK3r56QqWubul4bAsL+ty0adWumb4+Kc7t2lV9n6rKkyfkibGzq1kBtyLY++nVKzqfvXpVTRCOjyeFNimJlNm6tqDa2srDiWoqn+v1axq3GnqSdGUo3iMXLpCSqem4I5GQ8aCoqP43zzM1JUE+Kan2lIfCQjKA1LXywI6hb0mjuHokgZVm0qRJ6Nu3b6nvBgwYgEmTJmHKlCkq18vPzwe/zGAkEAi0J7zWBxQrfwBqh+7o6upCokYisY2VFR6VqV0fEhYGoYLgUuG22LJt2n6IGIaUEqm0ZqsJVQVXVxLELl0CBgyonZjPggKKgQdq18pTFqGQ4uWDg0nwaN5cO9vNyyMLqKmp9gQqgYAENLYqlzZhvQ/PnmnP+5CXR8mzEol2FBKhkISXiAiKyXZyqroibmJCgkJBQe1O3K9ekcfEyEi7SlpVcXEhy/DFi2TIadVKfWUsIoJClfLzKw+9qi0EAjqvoaH0rGjbMCaRULhSQcGbkSStDi4upGifO0dGFn19erGhpmz1LzaRX1dXntCflESKXF14+DSFz6dXfHzthfGylZYUQ4Vu3ACOHAEWLKj988YpDzVPbm4uIiIiSv6OiopCSEgILC0t4eLiAqsyDVCEQiHs7e1LVe555513MHLkSHzyyScAAH9/f6xZswYuLi5o2bIlHjx4gK1bt2Lq1Km1c1A1TXExadlicbm8hspwc3HBnfv3Ef3qFYyNjFQqVH169MCmXbvw659/okvHjvjt77/x6OlTtFOIgS27LcuyNaHZqiQaeCwqpaiIXvVNcQDkFYgiI0mB6N+/ZiqxsIhEpDjExNRdroUibP7D7dskRGtDeXr+XG6N1SbsBKdteDxSnrTlfWCb18XFafccsAqUSFS9WHNjYxLk09JqTwhMTSVhu7iYLLr1BQcHike/coX2rV27iu8xhqEclOvX5WNHfcLWlgTW58+B9u21u23Wq9EQhGFt4uREpaHz8mgOZyt7SSRkECurcLKJ/AxDCkZDyQthu0136VI7c3VOTvlKSydPkmL+00/At9/WXl4kn0/X9y2gTs0c9+7dQ7t27dBO5vZetGgR2rVrhy+//FLtbURGRiJVoSHLrl27MGbMGMyZMwctWrTA4sWLMXPmTKxevVrr+1/riET0oEgkZLXQUABa/MknEAgE8OrcGTZNm+JVXJzS5Qa88w5WLlmCz776Ch379EFObi4+kIWBqb0tHR15PoY2kErpoeTx6od1Thlsklx8PHDmDAl9NUFeHikod+5QuFJ9CeFq1IhKxd64Uf3rnpNDXgdLy7oP49AES0tK3tNG1+mICLL+Ojpq/xywFcqqA+thrK1mcXl5VJwgNbV+Cp42NiQ4Xb9Oz6Yqz6xEQtbnixfpGtRH6zufT2FtDx9qt2tuXh7lqjQkYVibmJlRqJajI93DjRuTIu/pSTlr7MvDg7zZ9vYUmlcf7xFVmJnRGFhb3abZ6pisgsAwZNQAqIjFgwe1sx/AW9Uojse81a2XlZOdnQ0zMzNkZWXBtEzWfGFhIaKiouDu7q696kHqIBbTQ1JcXD8ShdWBbb5kZlb9fc7LI4FSzRCtwuJiRMXGwj05GfoVdReuCaRS8gjo6VEOQIsW2rN8pKWR5TUykqyV9e1eEIlI6O3UCejRo+rHfecOCWG1VeNem6Sl0fM6enTVuwFnZQHHj5PgVp8Fh+ho8nxV0q+n2ohEpDCHhdHv1ReFWRlZWVQ6tmNHoGvX0uFxxcXU5O/ePVI2aqJbtLaQSslD0KcPNf7SBgEBZFxo1qxhGQU4NCM8nPrK1EYfmMuXaVxgq/GlpADTpsn/7+4ObNtWO/NIYiKF+U2YUPO/VU0qknPVoYHNym8pbGnS4uKGZa3h80l4zM+niaiqKCZJ15duzhXB59OAxedTIuXt29oJ34qLI49GdDRZpuqb4gCQoOTkRNae4GAgPb18s63KyMykycDauuEpDkD1vQ9SKSlPiYkUDlOfMTGh5FeFPjlahz0fYWEUqlSfFQeAjCWOjhRydu2a3AuXn09hTXfv0nWtz4oDQM+epSV5v3Jyqr+9xETyJtrb15ziEBlJyslbYv2ttxgZUQ5gTeeaMgyFtirmXLHFdGxtqZhCVBTdE7WBri4978XFtfN7dUg9H4U5IJWWjulrCMKzIkKhvPZxVRLvGIYmXTZUqyFhb0/eotu36b1796olNjMMxR5fv07nsr4kVqrCxIQGUFZQatSIqvw4OJAwUtk9/PgxCd8NtYQjW3np8WPyOmkqJD57RnkTLi71+zoDdK3j40lJrKkqY48ekSDu4NBwxgDF7t7FxZQ3EBhI8f5ubg3nOKytyYr89Cng61v17RQU1GyStFgMHDoE/PefvFlYixZUuKBTJxqLOWoPttt0ejrdQzVFQQFFJShTHpo3p2fwt9/o3ijrBdQGDx6Qh3jmTLrH2LClwsL6mZupRTjloT7DKg7sjdjQFAeA9lkgIAVAT09zq2FxccN+EE1N6bgfPSIFomdPzSYyiYQGqNu3aTv1KUm0ImxsaNLIzSXhMiKClEc7O1J+GjWixOqywnFqKp0rO7uGeb+zWFqSwhcURPcA64UD6J19sX+z7wwj72tRVyVINUFXl7xqaWk1ozxERVETQjOzhtd4ycCAQikePSKre3p63fZwqAp8Pj2nbANETa8BG39+5w4JdTWRGP76NbB5MylmACmZCQmkvD9+DOzdS+Nm5870cndv2GNLQ8DIiDzlSUk1qzzk5JBsoWigiYmhd1dXwN8fOHWKnr9z54ChQ7X322lpwMaNpLxcvQqMG0fjYXHxW9EojlMe6itsWdKCAo2rKtU7hEJ5IzsTE/UHbjZJGmjYx6+nR2FG0dFUBaJHD/q7svNQVEQxwsHBNIHXZPWmmoDHo+vNeltyc2kQj4wkwdjWls5Do0akbPD5JGjl5NT/cJ3K4PHIwvroEf2tKnSLVRgUP+vp1c+EYFXo6JAAp+2ussnJFPYjldZO6eOaQE+PlOW0NHpviHH+1takCD99SlZ8dcnPp7ErJISuoYeH9kPOrlwBfvyR5kljY+CTT8jCnJxMCktgICkQ0dH0+vNPGnc6dSJFwsurYV6ThoCuLgnyLVvW3G+weaCKxkVWeWA9fOPGAbt3A3/9Rfk72jDKMAzw/fdy+SQlhd7ZRnFvQblWTnmoIjWaZ84qDnl5dDM2ZMGZhVUg9PXV9yKwsYNVyPMouTr1pR6AQEBWx4QE6kibkUFJiKom05wcEpyePAGcnWlibOgYG8uPIy+PvAzR0TSY29iQpejp0zcnxMDYWPtlZusjbOiSSKQ9q3pODlnz0tPrRyni6iAUNux7mscjBYL1PlTWqIxhyGN05w5Znxs10n5zs/x8EgivXaO/W7YEFi2SK5m2tmR19vcnAfPePVIkgoNJsThxgl4mJpTY3qtXzTXEe1sxN6f5Lje35uavnJzSRjiRSF7l0NWV3vv1A44do305dgwYP776v3vhAt1TLGzFT3Zf3oIu02+AVFq7sI3S8vPza+YH2Bh/VnF4U6wiAoFcKVJHoBeLaVmBoEou5mKxGGAYCOqL8sDi4ECD6o0bVCVCWU3olBRKjH76lMIe3gTFoSxGRmSZb96cBJP0dDonDaGLKkdpTE1pEk9P1872iospvycmhu5/LsSk7rGyUq8IQG4uXbuTJ8nb4uGh/ef5+XNq/nXtGhnWJk6kWv6qvFOmpmRx/vxzin1fsQJ45x1SHHJyaBz+8kva5zcBkUhevrQuMTWl+P+kpJr7jbS00gaL+HgK9WUNUgAZ6N5/nz4fPUoFOapDUhKFwgHyalIK7QIAcJ4HjvIIBAKYm5sjWVbD2NDQEDxtTm6FhTQACwT0EKjREbrBwDB0bDxexQmDrJJRWEheBw0rF0gZBikZGTAsKIBOfewsbmFBxx8SIs+DYAe66GiaFNmJ901RHivC0LBhxPdzKId9RtPSKFelurx4QUnj7u5vx/3fEGCLAISFUSGDskUAGIbCEe/cIQHOyUn7Xe8lEkqI/v13+mxrC3z6KSVGq4ueHoUsdepE23j6lPptXL4M7NlDguiAAdrd79qEYUiRCgsDPvtMe53uqwJr+IuPJ6+7tmEYMrQpJkuzIUsuLqWNDl27kgczIgI4fBiYPr1qvymVAjt3knLQogUwdSp5IFJSaH/YHE9tVCer53DKQxWwl7mgk7XdBEUkkru73tRJUyKhuHdDQ9XhWGIxeV+q6HUAAL5YDJfsbNRbm6WBASkHUVGU0OXnR9f++nUaoJo21b7FlY357dmTun9ycGgLgYDCQby8qredoiJqTGZo2LDKUr8NsEUAnjwBunWTf8+GBYWFkZW3Jno4pKUBW7fSbwA0Xs6eXT2vrEBAeTotW5KV/OhR4IcfKKy2d2+t7HatExgob4q2eTOwZk3dVq1T7Dat7UIBeXlkjFSs4shWWipbWITPByZPBlauJK++v3/VQglPn6Z7UE8PmD+fPHIAzd15eXQ/CoWc8sChHB6Ph0aNGsHW1hYitn4/w5DFjM+XJ4kaGKgvACYkUGUWqVQ71rv6ikRC1gEfH6BNm/L/F4koCS4xkWL9qwLDQFciqf8xeTo6pCTExVEehEhEg09NXH+JhCbf6Giq3OTnB8yYwYUIcWgHExMgNpYU/+okxUZF0VjINnziqD/weGTtZ0sQm5uTJffuXUqYd3KqmRDLO3fI2puTQx7bGTMo7EgLxhWxRIITd+8i29UVkwYNAv/MGWDHDlIgFBWkhoBIBOzbR59NTUmpW72aKgLVVQEKc3Oa35KTqfeJNsnJIQ+AYjUnxWTpsrRpQ3ktISEUvvbpp5r9XkICsH8/ff7wQ/k5Zc91Sgrd/29Jl2lOeagGAoEAAtbCkpZGQllODmmeRkYkmLElKc3M6EEyNCw/6L1+TRbn3FxK8qntjsi1jZERPcCNG5ePU42IoLri7u5v/nkA6F5wdqZ4YoGg5sq7XbxIioOeHk0yN26QhXfmTJokG2Jc+cuXNNEPG0bCRE2Sm1uxt+xtx9iY4n4zMqpeGUkkontSX7/+N4J7W7GwIO/Dw4c0Pj96RGNKTXSCLyoiYfj0afq7SRNg8WKtCKGp2dn43/nz+OH0acTK4tUP+/jgt549YX7tGlntdXUpmbqhwJYktbAAtm8nxSEiAli1Cti0Sbtzi0QCHDhAXo4vv1T9zLOlnJOSakZ5EItLezRYzwObLF2WyZNJ9rh+HRg1Sv3SwRIJndPiYlJCBg2S/8/ampSH1FTanmKjuIZaYl4NuBFaW8TF0c3cvLm8I3JGBsX7SaUkGLIKBdssy8yMhLbLlymJ522xtllZkYIQHEyVENhJJzubGgmZmr7RD51SarLbbH4+NcoBgEmTKLRkxw6y0mzcSC7lWbPqf8dbRRiGYpSjooDvviNvjbZLhbJcugTs2gUMHEjn6W0kLY2svx07Kq+VbmhIE2Z6etWVh6goGkcbSi+TtxEej5614GASqJyd1Wr+ueqPP3D6/n2IJRKIxGKIpVKIJRL5q+zfEgnExcWwAeAPYESXLug9fz70qpkbFRoVhV0nT+LQtWsolOXS2ZiZIaegAKfu3YNvo0Y42qEDvO7fB9atozCXdu2q9Zu1QnY2lSIFKDnYwoL2fckSMk5++y0pE9oIBSwqArZsoRApgMbHceNUL29kRPkw7dpp10hVNik8N1eeuKxKeWjShLzuN24Av/4KfPWVer919CjlYRkYAPPmlVaUra3JkMWWa2U9D2yZ/TcUTnnQBhIJWWNYl61QSIqBYkiIKoVCX5++b9KkYVp/q4qTEz2MHh5ypSkkhNybzZrV6a69cRw+TIOZoyMweDBZdbdupe8PH6ZeEo8eURJZz54N4z68f59irwF6/jZsoGPSdj+AR4+onrdUSqFlgwc3rB4M2kAiIUvs48dkyRw8WLmVmccjC2NVYqzFYool1tVtWE3U3kYsLOgaqemJe5mYiK//+KNKP5UA4CcAPwUEwCQkBIN9fDCiUycM6tABZmooLQCFJh27cwe7Tp7ENbbvCoD2TZpgvr8/3u3eHU9iYzFy7Vq8eP0anTIycKBZM4wKD6ecga+/rjnDhLb44w+KuXd3p8pSAF2nr7+mxOlnz0jgX7q0evko2dmkiDx7Jv/u7t2KlQe223RGBrIEAoSGhsLPz6/6hWZSUkorQ69e0bu1dcXhcxMnUpTI/fs05nh7V/w7r15RmBMAfPRR+TmG/ZtVXBQbxb3BYcGc8qANkpLIXVhRh1VVCkVhIa33toVDsOFb9++TIpGSQoLa23guapLERKptDVBlCDYcRCgEJkygahw7dpDVd+tW4OZNSkRkE8HqI1IpcPAgfR48mCqmREUBa9cC69drL9E2IYGsj2KxfEL47Tcq+fg2cegQKQ4AeVfj4pQrUCYm9D+pVPNnOCaGXm+bYtZQ0SC34Y/r1wEAXZo3x8r33oMOnw+hjg50BALo8Pn0rvgSiSD88ksIsrLwuH9/HOXzcezuXbxOT8dfN27grxs3INTRQR9vb4zo3BnDfH3hoGS8SsvOxv8uXMD3p06VhCYJ+HyM6dYN84YORZfmzUsE2PZNmuDe1q0Yt2kTLj98iNHh4VjRqBFWvX4NwerVFPrTvLkWTlwNEBdHScAAjfGKyoGTE5WmXbmSPAW//EICcBnBXSyRICUrC40qakSalETKSHw8eRM+/pg81xER5JlUNWcYGQHx8Uh69Ajdp01DREQEzp07h/79+1f9mKVSEtYVKy2pSpYui4MDVdQ6fZpCrzZtAng8MAyDuNRUOFlbyxUbsRjYto3efXyAvn3Lb4/NuVBsFCcWv/G9HjgpTRu8ekWCRUXlR5UhFNKE+7YKy05OJDA8fkxucK7Gv/bZv58GsrZt5TWpFWncmCxSEyeSYnH3LnVpvXSp/jTYK8vNm6QsGBiQArRiBYW6RUaSl0Ab+52bS27+nBzyjq1fT89pYCCF3L0t3LsH/PMPfWafTVaRKIuJCXm4NK2jLpXKK/VwFZaqBsPQs3vsGHkSIyPp3q3jZ5hhGBySNXKbMWAABnXogH7t2qGXtze6e3mhc/Pm8PHwQNvGjdHK1RXNnZzQNCAArllZcLK3x4CZM7F7zhzE/fILAjdtwrLRo9HcyQkisRjnHjzA7N274ThlCjovXoz1//yDZ3FxeBgVhenffQenqVOx7MABxKamwtrUFCvefRfR//sf/lyyBF1btChn+bYxM8O5VauwaPhwAMCa16/hb2KCjIICUh4iI2v9/KnFvn30DPn6Ki9C0rIlsHAhfT5xQm5MkpGYkQGfRYvgOGUKvj91SvlvREaSByM+noTlDRuA7t3lUQKKDdPKwuMhQyxG/w8/REREBAAgJCREw4MsQ24uRWwoUx5UhSwp8t57NNaEhwMBAWAYBu9v3QqXadMwfM0avGIVgcOH6djZ7uXKvCVlPQ88Hj13b3ivB87zUF2KiugGNDev6z1peLDemAcPSODgrI7a5dEjcs/y+cC0aarDkXR0aDDt1Ini2iMiyBtx8yYwZ472Q4Gqg1gsdyGPHElKg6kpTWxffkldiZs0AWQCQJV/Y8MG+US5YgXlKPXqRflJBw+SYvGmk5KCpC1bcB9AkIcHHhcW4t2sLIx58qR0wiCLoSFZQdPS6Hypy6tXNPFrO6HybSEri5RmNgZdEQMDen5tbUu/2O/MzWs0TPFhdDSexsZCTyjESHV6DqSlAUeO0OcPPigJYePz+ejk6YlOnp5YN3kynsXF4didOzgSEIA74eElr+W//lpqc23d3TF/2DCM8/ODvhrx5zoCAbZMm4YOTZvio127cCYnBx2FQhzNy0OrL78k76Y6wmltERJCVRoFAmDKFNXL+fmRcLtvH3kfrK2B7t0Rk5yMvitXIuL1awDAJz/9BJFYjAWK4+eDB2Q8KSigY//6a7mXoWNHkn+CglT2x8gtKMCQvXvxMCqq5LtoVtCvKmylJVtb+XdspSV1ro+FBTBiBOWJHDyIXSkp+F2m5J64exeXHz7EN/37Y97JkyQkz5qlekxjPQ9lG8W94Z4HTnmoLgkJNODVpwGlIWFrS8KqqWndWx2Liuh6xsfLX7m5VKGhoV1fiQT43//o84AB6u2/mxu5cI8epUZM9++TtWXqVKB///qRC3HxIiUAmplRlSWW1q1pP//3P5og3dyUW+Eqg03EDg0lT+IXX8gnjfHjqUpHaCi9qrL9ekxadjbuR0bi3osX9Lp/H7FsxbMXLwAAlwGMfPwYSqOmeTxSVFNTyVujDlIpKbmA5p5bDrL47txJxhcdHaB9e/qcnEzvBQWknLHx4GXR1aVE1mXLaqS3ECuQDe3YUb0chUOHaBxu3rzCUqnNnZzQ3MkJS0ePRkJaGo7fvYujgYG4HBYGqVSKUV26YJ6/P7op8TCow4SePeHl7IyRa9ciMjkZnXk87MvJwdiVKymUsT4ouhKJvNPx4MGV79OIEXRfnDoFbNuGcIkEfWWeGVdbWwzu0AG7z5zBwr17IZJIsGTUKCqbvnMn/Za3N4VsKl5HX1+6ZiEhdN3KzOFFIhFGrl2LgIgIWBgYYNK772LngQPaUR4kEnkYLsPI73F15+qRI4EzZxAQH49PZSVuPxs1CrefPcPNJ0/w6fHjOAhgT+vW6Ojnp3o7rHEtLU0esvkWNIrjlIfqwmrTXJJf1eDzazdBWiqlhzwujpQDRWWB7RJZlvBwShKrJJZSIpFg05Ej+PPGDXz53nsY1bVrzRyDOly+TBUgjIwotEddBAJg9GiaFHbupEIA339PCt6cOWAAFBQXI7+oCHmFhaXfi4pK/i4oLoaAz4dQIIBQRwe6Ojoln4UCAXSFwlJ/C3V0oC8UwtHKSrWFsKiImtwBwJgx5btS+/uTi/nKFYrF3bpV854ZJ09SYjSPByxaVLoCmp0dVVw6eZK8D61b1w+Fqgpk5+fjfkQE7sleQS9eICopqdxyPADNGzWCT/PmOH7nDtLy8xGYmopuKSnKPVJGRjSJd+6s3rmJj6f7tKJ8MY7yFBWRBZmNdXdxKX+/FhXRmJacTK+yn9PSKNz2zh3yMvbsqdVdlEqlJfkOE3r0qHyFqCgKlwTIEKDms+VgZYVZgwZh1qBByMnPh0QqhbkW+k20bdy4JA/iYmgo3gWwLDMT337xBQTr1lWtyZg2uXSJrO3GxhUnLLPweJTvkJaG0MBA9N+6FckMA09HR1xcvRqOVlawMTPDN3/+ic/274coNBSfsw3nevSgpmhl5Rw3N7K8p6ZS+V6F0rZiiQTjZefOSF8fZz76CNmNG2tHeSjbRyE1lRLGBQIKh1YHQ0Ok+vvj3UOHIJZKMbZLF6yfPBkMw2DfN99gSXAwQgB0CgvDx3v2YM2kSTBVVu3L0pLkGLGYFHZLy7eiURynPFSH3Fya+DRx0dcBBUVFSMrMhNub3HyuIjIzSSAMCCBloahI9bLGxmTBYV8BASQ4f/FFhQpEXGoqJm3bhquyDqhjNmzAxg8/xKcjRlS/qoSmKJZmfe+9klj1vMJCnLp3D+k5OciXCfoVvsRi5JuZIT8rC/nnziHv4kXkSyQ1uus8Hg/O1tZo2qgRPBwc6L1RIzR1cECTO3egn55Ok5WysBkej8KsYmPpmq1dS0qEuh6t+/fllrzJk0kALsvYseT9CA+nMJG67tQdE0NKkqcnhaZVcqx3w8Ox6+RJ/HXzJkRK+qh4ODjAx9wcPk+ewAdAu08/hYlMqJyweTP+uH4dJwB0e/yYwrjKYmJCz1t2duX5SwxD+RMSSXlF8C0mOz8fv1+7hsSMDFiZmsLKxKT0KyUFJt9/D15CAq0wbBiF+JRVuvX0SJCSCVPFIhEy8/KQlZ+PrLw8ZGZlIeviRbS4fRtef/5JMexa9D7cfPIEsampMDU0xGBl+VaKMAwpQwxD+1HF5GQTLd9HVqamOPP11/j811+x6cgRrAcQnJaGPz7/HJYbN5ZuUKaCvMJCJGVmIjkzE2KpFG62tnCwtAS/OrmOZcd4ExP11hMIEDB0KAbfvYtMqRRtdXRwbtky2MqOY9WECRDy+Vj5++9Y8eABRAC+HDECvA8/VF1hzdeXko/v3i1RHqRSKaZ/9x2OBAZCV0cHx1asQCc7O7yQCf0xMTFgGKbqc2NKSmlPJauMODmpbciVSCSY+OgR4gA0A/A/NzfweDzwnj3DtJAQ+AP4tFUr/PboEb47dQr/BQRg54wZGNWlS+n9FghIBkxNpZel5VvRKI5THqpDXBzdIE2b1vWeVMiodetwNjgY/dq2xZpJk9BR3ZCChk5UFHD8OHDtWumGcwIBWY0UlQQnJ3o3NS1t8Ro0iGLpWQVizZpybtH/bt/GR999h4zcXBjp66NvmzY4ducOluzbh4jXr/HdzJnQqYGQAJX8+y+VBG7UCBgyBABw++lTfLBtGyITE6u+3TKKg76uLgz19GCkpwdD2ctIXx+Genow0NWFRCqFSCyGSFbbXSSRoFgsVvkd69F4lZKCVykpuPzwYanf4wFwAtBUXx8eP/9comC0b9IEzmyFDD09YPlyssJGRZH3ZPHiyq2YbM8LqZQqaowcqXw5CwsS1v7+myZvX98aCfdQC7aDbHIyHeuLF3TsinHAIKHx8K1b2HXyJO4oJHu72tqiY9Om8PHwgE/TpujQpAnMc3PlyZXDh5eyRvt37Ig/rl/HcQDrnzxRrjwYGVFYWVpa5crD69f0XFXDgiuRSHAyKAi/XLyIvKIiOFlZwcnauty7lYlJ9ZX44mJSTK2saiTHLSIhAbtOncK+ixeRU0mypRCAJY8HK2trWEVEwGrz5pJjzJIpCJl5eaU+s30NymIIIDI+HvbXrwO9e2vteH6XeR1Gd+lSeb5BcDCFAurokCJUj9ARCLBxyhR0aNoUU3fswPniYvikpuJ/n34KnbFjkWRuTspBVhaSMjNLXuzfeUpi33V1dOBmZwd3W1s0treHu52d/N3OrnLPyb//kpLu4EAhS2pyKTQUw9esQZ5Uiq5CIU6JRDDfsYMMLfr6QFERvnj5EkIAywB8DUCkq4vVPB5UPj0dO5LyEBQEMAwYAAv37sX+S5cg4PPx12ef4Z02bYCiIrjIrPH5+flITU2FTVXy6SQS1ZWWNAgvXnP4MM6HhsJARwf/iMUwPX6c+k5t3w5IpbDt3RsHFy7E5JAQzN69GxGvX2PM+vUY2rEjvps5E66K4yzrfUlJoUgKPb03vlEcpzxUFYahiU8orNfVkm4/fYqzwcEAgAshIbgQEoIRnTtj9cSJaNXQ4vjVQSKhOODjx6mCC4uHBwnSnp4UfqJuB1tjY+Cbb+QKxIoVJQpEXmEhFu3diz3nzgEAOjRtij8WL0bTRo2w88QJLNy7Fz+dPYvopCT8vXSpcpentklKopwFAJgyBUUAvj5wABuPHIFUKoWjlRU6NWtWIuyr8zLQ1YXR9eswPH4cRgAMZ86EwcCB8u7qWoJhGKRmZ+NFQgIiXr+Wv79+jRcxMcgWiRALIDYuDlfi4kqt62Bpic6enujs6YkuzZujw6JFMPjmG2oG1LSpamUAoEl49WqKD2/VikrVViRojhhBk2VsLCVo13R3a2WIRJTEmJxMykJBAYVsLVxIjaHatsXr9HT8dPYsfjx7FkmyCki6OjoY5+eHuUOHwqesEUEkovs8L4+ekzJC3MAOHSDg8fCUYRAZGoomyvaLHQtTUytuesl6HYqLNSr7yZKRm4u9sjKc0cnJlS6vJxQqVSwa29vDy9kZLjY2pS3B+fkkkLx8Sec1MpKut0RCStGGDSS4VROGYXApNBQ7TpzAqXv3wMjCJps7OaFHy5ZIz8lBWk4O0jIykJaYiDSxGIUARACSGAZJKSnyEpFqYmxgAHMjI5gZGiIpMxOp2dnYDWDV339TeIoWnmtWYQUof6BCJBLyOgAUeljX4UAqeM/PDy2cnDDy22/xMiUF72RkUH6UGujr6sLO3BwCPh+vUlJQLBYjPD4e4fHxSpc3NzIqUShaubhgSt++cmE1OVk+xn/4odqW9uN37mDshg0oFovRr21bHJkyBUYrV9K8tnEjNT9buxZ49gxLdXSg6+eHRVeuYM3ff0MkFmP95MnKFXBvb1I80tOByEisunsXO0+cAADsmz8fI1gPrp4e9KRSONjYICElBdHR0VVTHthkaUUFXpNkaQAXHjwo6T3y45w58D52jLaxeDEdh5UV9T0C0LdtWzzcuRNrDx/Ghv/+w8mgIEqonjAB84cNI8OgjQ31vmCTpoVCGkPe4EZxPIapr/UY647s7GyYmZkhKysLpqpauqelkfXRzEx9l2EdMPzLL3E8JAQjDQ1hKhDgYE4OpCAr7gRbW3zdtCmampuTpqyrK3/p6dGAYGJCL2Njssqr2Rio1snPpzj/48eptwFA+9m1K1mKPT2rF5+emytXIMzMEDJrFsYfOoRnMiH2s1GjsHriROgqDOTHAgMxYcsW5BcVwdvVFSe//BIuNV25aONGil9u3RoPp03DpG3b8FBmlfmgd2/snDFD7eZKpWAYKvt65Aid188+o3NbG2Rmgpk+HWlFRXgxaRIirK1LFItncXF4GB0NiVRaahUdgQBtLC3RJSUFnXk8dJ43D4379Ck/+RUXk0fp2TPy1GzaRPd5Zfz7L9UIt7UFdu+u/ZynH36gUDwDA9pnfX1g/XowERG4w+Nhl7s7Dr96VRKa5GBpidmDBmHGgAGwVWU137OH8jlMTMj6puRe7bN0Ka48fYptABb89pvycxUXR+dl1CjVz1xiIvDffyQAaDB+PoqJwa6TJ3HwyhUUyCzpliYmmN6/P7ycnRGfloa4tDTEpaaWvCerET5gKBSihakpvAQCtCgshFd2NrwANAZKJ4cLBCTs2tuTAlHFruz5RUX47coV7Dx5Eo8VkpkH+/hgvr8/+rVtS/cqwwAXLlA4XUEBYGiI/KlTkda2LdJyc0mxyMlBWnY20nJywDAMzI2NYWZoCDNDw3KfTQ0MSin9f9+8ifc2boQNj4dXDAP9hQu14n04GRQE/9WrYWdujvh9+yo2NJw9S/eziQnw009VUiZrk/ScHMzYvh2XHzyAtVgMOwB2fD7sPDxg27Yt7CwtYWduDlszM9iZm8PO3BzGBgYlY49YIkF8WhpeJiYiKikJL5OS6F32d5KSUsd8Ph8jOnXCfH9/+J05A96NGyS0f/utWvPa79eu4YNt2yCRSjGyc2f8sWQJ9IRCGve++ILGQQMDuseMjMhI1qoVdp08iXkyBWnh8OHYMnWqcgVi7VogMBDb2rXDIlmexK4ZM/BJ2W70sbHounMnAp4/x99//42xY8dqdO7ZbeDwYTJOsPfV3Lkk/K9cWSrvQhlxqalot2ABUrOzMb1/f+z55BPymihW0Pv6ayo+UIansbGY+f33uCFrUNrG3R0/zZmDTrdv09w4fDiFj4pENA6++269VYbVknMrgPM8VJXYWLLQqZucU9skJuLJ/v04HhICHoC1+floDmApgC8B/APgUHIy/kxOxlQAKwE4q7NdPp8GF1NTGuRZ5YJ92dmR9aq2FIzERKoeceECkJ+PAgCpBgZI7dIFae3aIZXHQ2pEBFKDgyGSSNDb2xs9W7WCUF3PA4vMAyFduRI7IyOxdMMGFANoZGmJXxcsQN+2bcutMrxzZ1xftw5DV69GWEwMOi1ejJMrV6JDTYW5PXkC3LwJCY+HLW5uWPnppygWi2Ftaoqf5sypXgI3j0dWrpwcivnfvBn46qvaqTh0+DB4RUWwbtoU1mPGoEuZySu/qAj3IyIQ+Pw5Ap8/R8Dz53idno77KSm4D+A7hgF27IDNL7+gc4sW6NysGYZ07IjWrq7gffcdTaBGRjTxqDuIDh1KNdOTk4Fz5+hvLZBfVASRWAwjfX3VoW6nT8uTuhcvBlxcUCQS4e+BA7HzwAHcy8khizmAbp6emDtsGEZ16VLxPX/zJikOALBggcryvP5du+LK06c4AWDB06dU3rcspqZkXMnNVa0YPH1KCr9z5aOOWCLBibt3sfPkyZKcIoAm7rlDhmBCz54wqCDXo0gkwuv4eMRFRCAuJgZxr18jLiUFsZmZeJGdjecSCfJFItxPS8P9Muvq8XhoZmoKL0dHeHl4wMvZGY3/+AOOiYmw+eYb8NeuLR0+UQmxKSn4/vRp/Hz+PNJlIRxG+vqY8s47mDt0KJopVswpW4JVVq/f0NYWhgCcy4SnVYVRXbrA2doasamp+B3A1D//1Ir3ga2yNM7Pr2LFIT9fXnp53Lh6rzgApKz+s3Il/fHiBSk84eFUXCI3l5KSO3RQub6OQABXW1u42tpCmZqWV1iI6ORkvExMxMvERJwICsKl0FD8FxCA/wIC0BbAfADjJk2CvhqKw49nzmDOjz+CYRhM6t0bv8ybJx9bmjenMWTdOlIcrK1JcJaVTZ87dCiEAgFm796NbceOQSQWY+eMGeUVCF9f/BIYWKI4fPv+++UVBwAwN4ebiQkCQHkPVYLtX8IeAyuoA5V6HkRiMd7buBGp2dlo17gxds6YQf/w8aHn6/FjKoqhRHEAgBbOzri6di32X7qExfv2ITQqCl0++wy3/P3RBZB7AXV05E2A31A4z4MSKtXIJBKyPKal1T/lISGBtPIrVzBFKsV+ACPNzPDf7NlkHS0uBoqKEBwfjy8CAnBG9tDp8fmY7eKC5c7OsAXk7dVzcmhAzMlR/0GYMUNrwpQynr56hZ9+/x3Jz58jNS0NqQDSAKTyeMhX43Y2MzLC4A4dMKJzZwxs317tcKKkjAx8uHUrzoaGAgCG6ehg7+rVsG7ZssL1XqWkYOg33yAsJgaGenr4/dNPMVydmueaIJUCixcjMiICk83NcUtmvfL39cXPH38MuypaSMshkZDFNTCQhKZvv1W/LGdVSE6mGttiMTVqateu0lUYhkFsaiopEk+eIPDiRQQXFqJsxHdzU1OMy87GOB4PnqtWUSM9TThzhrwOZmZktddAiFTGvRcv0H3ZMhSJRAAoxMjYwABGslwSY319GInFMIqOhjEAo6ZNYeTpCYZhcPjWrRILu55AgPFSKeYyDNo7O5MVsaIQm4QECncqKKBKW5Mnq1w0IiEBHrNmQQdAypAhMJ85s/xCEgkpL6NGKS8wkJJC46excYV5EWnZ2RSadPp0SdMmAZ+PkZ07Y+7QofBr2VIuxIhEFLJX9pWcTO8VVD4RA3hpbY0nVlZ4YmCAJxIJnubk4GlCQol3Qxk6ABoJhXB0d4ejtTUcrazgYGkJR0tLOFpZlfxtpK+P20+fYseJE/gvIKDES+ZuZ4e5Q4diat++5b2B9+9TrxW2BOvEiRQuVwP5NZv++w+f7d8Pbz4foVIpeAsWAH36VHl7uQUFsPvgA+QXFeHuli0V59j99ht58B0cgF27GmbVQqmUKrzt3y9Pku3UiSzQWrI6l3jczp9HgWyOszEzw6yBAzFr4EClHbYBYOO//2LpgQMAgDmDB2PXjBnKE7Vv3qR7buJEpUnge8+fx/TvvwfDMJg5cCB+mDWr1Hb+OX8e7333HaQAFg8ciI2zZyv3UDAMPt++HeuuXMHHH3+M7777TvOTcfs2zT/sfRUdTSFXhobAH39U6In5dO9ebD12DGZGRri/dSuaKFZ5y8ig3JsePdS6D5MzMzFq3TrcevoUX3Xvjq9v3qR8h82baYHwcMpHadFC82OsBarreeCUByVUelLj42nya9So/tQmj4sjpeHaNUAqRSzI5S4GELhpEzp5eipd7eaTJ1hx8CCuy7rGGunrY8GwYVg8YkT5pC2RSK5MZGfL39nv4uKo7F8Nup/FEgnafPABnlQgDAh1dGBtagprExN6l1UsKRSJcPrevVJhDEIdHfTx9saIzp0xzNdX5SB89v59TN6+HclZWdAXCrHVzAyzUlPBMzOjHIhKGtxl5+fj3Q0bcO7BA/B4PGydOhXzhw3TWiUm5uJF/LxzJxYByANgYmCAHdOn48N33tF+tafiYsoDefiQrvX69WpZkKvEjh1UklADF3050tJQtHAhHmRmItDNDVft7HD23j0UKSSAt3V3x7gePfBe9+7qVyUTi6m6U2Ii8P775KKuBsO+/RYn7t6t8vpO1taYPXAgpg8YAJuEBLouGRk0qS5aRMndZSkuphyJqCjAy4vu5UoEVK8PP8TT9HT8YW+Pcapivp8/JwFUmQXv+nWqzKJiTHry6hW2HT+O365eLUnytTIxwYwBAzB70CA4l/WKsKWUK+tszXpGbW3p3c6OjD+NGysdq6RSKWKSk/EkNrbk9TQ2FjEpKUjKzIS6U6eRvn6ppNne3t6Y7++PoR07lrfKMwwJ06w1XlkJVi2TmZsLp6lTkVdYiAsA+jZqRGFEVVRUfr92DRO3bEHTRo0Q/uOPqseflBTKLyoupv4B2jao1DZ5eVRK+sQJUiiEQlKgx4zRTg+jGzeQtmkT/qejg+9NTRGbng6APBnvdu+O+f7+8JWVPWcYBl/89hvWHj4MAFg+ZgzWTJpUrbng18uXMWXnTkilUkzt2xd7Pv4YAoEA54KD4f/ttxCJxfgIwJ7Zs8FTVg1Pxp5//sHMX3/FkHfewcmLFzXfkaNHqdgCa7i9epUqzrVoQYYtFfx3+zZGr19Pm/j8c60Y8L76/Xd88+efmN21K364fZvCGGXKWoVjYD2AUx5qgEpPakAAab+12Z9AFa9e0WRz44a8R4GPDxYZGGDbjRvo2aoVrq5dW+EmGIbBhZAQrDh4EPdk7ePNjYzw6YgReL9XL/WFKYmEakG/ekVWsqlTq3Fgytl76BA++usvWABY6ekJ606dYO3uXqIsWJmawkQhvrT8LkpwJzwcx+7cwdE7d8olrHX08MCITp0wvHNneDk7o1gsxrIDB7D9+HEAgLerK/5YsgQtLSwozOXlS7KeqqFAiCUSfPLTT/jp7FkAwMeDB2P79OnVrsT0OiEBH82di9Myi3XPVq2wf/78mi3Nm59Px//iBVmqNmzQfifq2FiKZZVKKZejiuUbAVCYzIoVJPD37Yvsa9dwTCTCH7a2uJCWBrGCItGleXOM8/PD2G7d0KiyMszXrgFbtlDY0549Vc5/ehobC6+PPwaPx8PDnTvRyMICebKeGbmFhcjLzETe7t3IS01Frp0d8oYMQZ5YXNJTo7OnJ0Z07lz6XkpPp+vy9Cn9PW4cvRQtj2zuhJkZ5TmoUJ4VWfr999h47hwm8Hg49Ndfyg0osbFkTR4xovT36enAP//QOkq8YeHx8Wg7f36Jxb+tuzvm+ftjnJ+f8tCkZ88ozCI/n7bJKgXsS1FR0GLBApFYjMSrVxG/axcSGAbxbdsivkkTxKelISE9HfFpaYhPT0eurGqSvq4uJvbsiXlDh6K1u7vyjRYVyTu7A1TpberUWmmeOfenn/DdqVMYrKODU2IxjeNVLAQw9JtvcOrePXw5bhxWVdRjZts2sth7eVHYTAPtmVKOV6+An3+m6lEAjYtTp1KOWFWPsbiYDBXJycCECRCPHYsjAQHYefIkbsri7wGgs6cn5vv749bTp/ju1CkAwPrJk7F09OjqHhUAUgwnbdsGqVSKSb1746N+/TDw669RUFyMd11d8XtMDAQ+PpQfqIJzwcEY+PXXaOnsjEfPn2vmsRWJ5Io1O1YdOEDG3IED6Rwp4UVCAnwWLUJ2fj6WjByJjRV149aA706exNw9ezC6Y0f8ExRE1/eff0hxjIwkxUGdHid1AKc81AAVnlS2UZVYXK4kYq0SFUWt1QMC5EpDp07Ae+8h3c4OLtOmIa+wEGe++goDK4i/VIRhGBwNDMTKQ4dKJfG1dXfHyC5dMLJzZ7Ryda3YenH/PoWX6OhQvK4Wmz/lFxbCY8IEJIjF2Nq4MRZu317tbT6Li8OxO3dw7M4dBD5/Xsqa2MTeHrpCIZ7GxgKg+M+NH34oLzuYk6OxAsEwDLYcPYrP9u8HwzAY7OODPxcvrnJ98sM3b2LW9u1ILy6GHoC1kydjwciR1ashri7Z2VQaNDaWytyuW6fdEpbr15OS3qkTCf7VhU3MZPHxAVasQGpeHv67fRt/3riBq48eldwDPB4PvVq1wjg/P4zu2hVWygZYqZRyBKKjycr44YdV2rVpO3fil4sXMbJzZ/z3+eel/ymR0Lm9e5dqiG/ZopaQD4Am2717KU+CPeZFi8jSzlrseDwSwNUICQOAm48fw2/5cpgDSP76awiVWdYyMkjgGT++dEfagAASjlUUMGDDCth45Ao7BD9+TB4wtkrWypXVDh3TmAsXKNwGAGbOLCmNzJKTn4+E9HTYmZtXXH4zJYXGj5cvaeycOZM6w9cSLxIS4Dl7NhiGwTMAnvb2FJKnoWEjNTsbjSZPhlgiwdMffkBzVWG9bGUwgO7nN618OMPQvb53rzwOvnVrCmVSpTxWxD//AL/+Ss/9jz+WUijvR0Rg54kT+PPGDRQrlCTn8Xj4fuZMzNaglKs6HL55E+M3b4ZEKgWPxwPDMBjUoQOOTpwI3UWLqODKoUMqld7ncXFoPmcOjHV1kX3hAnh+fuorVenpJH9ZWcmNAd98QxUWZ81SWra2oKgInZcswcPoaPh5eeHSt99qnvOoArbggJ+XF66/eEHj7Z49FK4WG0seeX9/rfyWtqmu8lAPy+bUc+LjKdehrhrDxcZSZYP580mwYhiyaGzfTgJW06b44fRp5BUWoo27OwZo4DLj8XgY2aULQnfswG+LFqGXtzf4fD5CoqLw1e+/o/W8efCYOROLf/kFt548gbRMhRsAlCjWrh0pV6z7Tkts374dCWIx3Hg8zFm2TCvbbO7khKWjR+P2xo1I2L8fez7+GIN9fKAnFCIyMRFPY2NhbWqKEytXYueMGaXrlZuYUIWGxo0p1nXFCrI6VQCPx8PikSPxz9KlMNDVxel79+C3fDni2BJvCjAMg4KiIiRnZiIiIQHBkZG4GhaGE3fv4tDVq5iweTPe3bgR6cXFaAfg/rRpWDR6dO0oDgAlxq5aRZa1+Hj6nJ+vnW2/eEH3N49HIUHaYOBAegGUWLd4MSAQwNrUFDMGDsTlNWsQv28fdkyfji7Nm4NhGFwJC8PMH36A/eTJ+JHt5qsInw9MmkSfT56ksUFDEtLScPDqVQBUtaschw6R4iAUUniHuooDQOvMmiXvDnvvHikPt2/LFan33lNbcQDIM2Olo4NMALdktfzLYWJCyrUstAIAPSOPH9P9okRYKBaJ8OuVKwCoWVV3Ly/VikNYGCk8BQUklH35Ze0rDgDVhWet63v20HlVwMTQEJ5OThUrDk+f0jV5+ZKeqdWra1VxAKg54FBZlZoduroUiie7Fppw+OZNiCUStG/SRLXiwDaEA6iPyJumOAB0f3ftSs/YuHH07D18SM/h1KmkMJ05QxWClM2jimRkUEgyQOWTywjlHZo2xYGFC/Fq716smjAB9hYWEOro4NcFC7SuOADA2O7dcXjpUgh1dMAwDLp7eeGfZcug26QJGVSLi4GQEJXrsxUHc4uLkX7rFimS6sLmXiprEKciWfqTn37Cw+ho2JqZ4c8lS7SmOACArSxnKzkrS54roliulU3ufgPhqi1pSlQUDQxavAHV5sULeR12Ho86cb77bqmHJr+oCDtkNZY/GzWqSjGOAoEAE3v1wsRevZCanY0Td+/iSGAgzj94gMjERGw5ehRbjh6Fnbk5hnfqhBGdO6NP69ZU+g2gwZFVbp48Ibd0NUl5/RrrZRPzmu7doVcD5c/sLSwwfcAATB8wALkFBTj34AFikpMxvkcP1eErrALBeiDYPhCVeCBGde2Kq9bW8F+9GqFRUeiwcCE8HByQnZ+PnIICZBcUIDs/v1Q4jTIEAD4H8IWXF3SHDavagVcHa2uy/CxbRpPAt99SFabqhlocPEjvvXpp1PinUmbOpNhqT0+lYSyNLC0xz98f8/z9qT/HzZv44/p1hERF4dNffsHwTp3K3ws+PhRS9ewZhRDOnq3RLu04cQIisRh+Xl7oXDY069o1sjoCFMJV1VDJd96h87huHQmGsthftG5NyoMGCAQCDGncGL+Gh+NEWBh6KVtIR4c8Jmlp8nyY589JEFKR63AiKIgs15aWGFSRtzQkhO6z4mJSej7/vFZCe1Ty3nukJJ09S0Khubn6Y97FiyRgisWUXP7FF3Xm0V44bBhO3L2LA1IpvgVg+fff9PxpMNexjeEmVBSqERREyp9QKFe831T09Ei57NMH2LePjACpqfRcyypSwcSE4vW9vOjVpEnphN0//iAluWnTUk0by2JnYYEvx43D8jFjkFtYCIsarFw1sksXXPzmG1x6+BCLhg+HIfv8dexI1Q+DgpRXYgNgoKcHewsLJGZkIDorC1aBgWRQqKypJCAXxlkDWW6uXFhXMk/8cuECfrl4EXw+H38uWaIyp7GqlFIe3N0pF4P1NCk2iqvL8amG4DwPmpCTQ8qDlm9AtXj+nATUvDwSVL77jhIdyzww+y5eRGp2NtxsbfFu9+7V/llrU1NM6dsXx7/4Aqm//YbDS5diYs+eMDMyQlJmJvacO4fBq1bBdtIkjN+0CccCA8G4uJBFDiALU2WWFTVYvX49cgC0Fwoxbt68am+vMowNDDC6a1csGjGi8rh3VoFwd5d7IKKiKv0N32bNcGfzZng5OyM5Kwu3nj5FWEwMopOTkZ6TU0pxMDEwgIOlJZo7OcG3WTO806YNxrVpg1sAvuHxoDt9et3FDDs6khXYwAB49Ij6DlSi9FTIw4ckIOroUNiLNhEIKA5VjV4XbnZ2+Gz0aARv344uzZsjv6gIq/78s/yCPJ68odr58zSBqElWXh5+lOXAfFY2LvnFC3lIzOjRyjs6a0LTphRnzpbXtbAAPv20Somx/t26AQBOpKaqvtb6+vISijk5dG9YWam8T/deuAAAmNy7t+o8oOBgueIgCzur84mZxyOl1NeXwhZWr67UAwmJhEJadu4kxaFLF8pPqcNQ2F7e3mjt5oZ8sRg/6+tr7H2ISU7GzSdPwOPx8J6fn/KFxGISogHqv1OXob+1ib09hXj+8QfdH+PG0XOop0fPxt27VK3ps89ozFuxgjyOly/TmAJQyJMaXmWhjk6NKg4sPVq1wqoJE0pXCmOLMgQFVTjvu8muezTD0H0WGKjenJGRUXr8YJ8za+tyRQ9Co6Lw8U8/AQC+mTABvVu3rnz7GsL2zMnIzYWIlQtZZUZXl8Lc39ByrZznQRPi4qiiR227WZ89I2tuQQHVIlbhohdLJNh85AgAYPHIkdVOxC2LsYEBxnTrhjHduqFYJMLVR49wJCAAR+/cQWJGBv68cQN/3riBTVOmYPGECVRVJTyckrkr6zJaARH37mG3TBjfNGEC+HUtLChD0QMRFQUsXUphMcoq3CjgZmeHO5s3UxUmAKaGhjAxMICpoWHJZ2N9/fKhSFIpTTQA0LcvWavqkiZN6Ni//pomwp07yfukaQgVw1BsLwD0718vGuzweDxsmDwZPZYvx//On8fCYcPgWTYko1UrUkqCg4HffyehXA32nDuH7Px8eDk7Y7CitT09nTxYrJCsrdAtU1O6RoGBpExUsYRv/379INy3Dy8YBs8DA+EpUyZKYWJCCZ6FhTQOpKWp9JzEpqTgbHAwAGAqa3goS1AQeU7EYnquli6tP6U9BQIy5qxcKU/i3rhRadlL5OaSgi2ria80kb0O4PF4WDh8OKbs2IFdfD4WARD+/Tc1jVPD+/DnjRsAqGCDk7LjBqgnSnw8WZmr0iCsoaOvT0oDq8CLxeSxfvyYvPRPnpAyERZGL5auXWnur++0akWySUYGeaJVyEqutrYIfP4c0SkpFOr86BEVWPD2rnj7ycmlPcZsyFKZktBZeXkYs349CouLMahDBywfM6bqx1QBlsbG4PP5kEqlSDUxQSNA7nnQ1SVjQkGBel6VBkaVRiuRSITY2Fg8f/4c6YoxrW8yDEOWQD292h3knzyRKw7e3vRZRWzv4Zs3EZ2cXOItqEl0hUL0b9cOu+fMQfy+fbi9cSNmyOJ0l//6K+6mpJC1FCBhsKioaj/EMFixYwfEAAaam6OPlqpG1AimpiTwtW5NAtOaNdR1spKYR9bLMaprV/Rt2xadPD3RwtkZjlZWMDU0VK44/PUXCWQGBtoTLKtLq1ak0PD5ZLGcNQv43/+o6ohCIl+F3LlDx6Wnp3E4TU3i17Il/H19IZFKseK335QvxIZgXL8un9QqoFgkKqnitVgxyb24mPKa0tMp5EeWm6E1BAKgWzeqQFRFTI2N0UuWZHfi8mXlC5mYUFJ9bCwJB+bmKsfO/ZcugWEY9GjZEh7KelIEBsoVhy5d6pfiwKKnR2FHjo5kfVy1ihQFReLiSMl48ICWX7qUwlrqWHFgGd+jB3WFzs/HP4aG1CND1fUtA9sYTmXIUl4eWd4Bsq5rsfpVg0VHhxTqkSPJ23DwIEUVzJlDnkZbW1JAq1iIodYRCuX5UxWUnWY9DzEpKTSHmZnRM56UpHrbRUXk2VeUf1TkO3z1+++IeP0aLtbWOLhwYY3lAfL5fNjIxsFkdr9YzwPbKE5Wce1NQ+0zmpOTg927d6Nnz54wNTWFm5sbWrRoARsbG7i6umL69OkICgqqyX2tW9LSyGKiyqJSRSosdvX4cfmkQBV9JRiGwYb//gMAzBs6VB6DWAvw+Xx0ad4cP86Zg7HdukEskWDcpk3I6tuXzldKCiATkjTl7uHD+DsrCzwAG+bP1+6O1wTGxnTNBgwgpWHfPgo9kZVRrTYpKWTdZCfhceOqbD2uEXx9qfoQm3R5/Djt7/vvkyX2yhUSKJUhkVDTKIAqVNSn4wKwdtIk8Pl8/Hv7NgKfPSu/QJMmlIfEMPLjqIDfr19HQno6HCwtMYH1zDEMVSkLD6d7acWKeitkDZPlZxxXdi4AEiTEYgq5TE5WWcpXKpXiF1m992nKvA63b1NIj1hMSs+SJfVPcWBhPTsWFpQMu26d/Nm/f5/2PT6ezsWGDXQ89Qg9oRBzZEm22wwNwQCUx1PJ+PUoJgYPo6Mh1NHBaFWd7P/5h559J6daTwhvMPD5lC83cCAl0f/vfxT6Ww88sGojS7xXR3mITk6mL+zsyONy65ZqQ2NODslCisoD26W6jPJwWzYmbejXD1ZVLJ+tLras8sAWU2GVBza86g0NW1JLedi6dSvc3Nywb98+9O3bF0ePHkVISAjCw8MREBCAr776CmKxGP3798fAgQPx4sWLmt7v2icujqxIWoglLBaJ8Ovly2g9dy7sPvhAuSDCVhMpLCQX58qVFcb2ngsORmhUFIz09fFxmXKBtQWPx8PPn3wCdzs7RCUlYfrPP4NhrbH//EOuTA1g8vPxmSzGfHLjxmitZsnZOkdHhyxHH31Ek8HFi+QxUiU0q8u1a9RJMyyM7oWPPy5fR78+0KsXeZuWLaNEXTMzqsJ08ybF3H/wAf3v338pZpVVoK9fp7+NjKjsaT2jlasrJvfuDQBYeuCAcsV/4kS65nfvyvsrKEEqlWKTTNlfMGwYFRtgGOC//0jB4vPJKl1RZ+g6xl/WhfhWTg7SFBovloJVIs3MVHpProSFITo5GaaGhhhTVpi+cYOUTomEQh8XL66bYhWaYGcn9xCHhdE9f+QIhTXm5VFS7JYtNdr4rTrMGjgQekIhglJTEWBsTIpfJd6HP2SJ0oPat4elMmEtKUluQJoypUY6ZXPUE3x8SHCOipKH8JShRHlQ9DS4uVGokyx8sRxlKy0xjDznQUF5YBgGz2X9m7ybN5cL8zWBVApbmdKQzN7TZY/5bfY8BAUF4fr167h79y5WrlyJAQMGwNvbG02bNoWvry+mTp2Kffv2ITExESNGjMANWezjG4NEQtazamqw2fn52HLkCBrPmIHJ27cjLCYGKVlZGLRqFUIVE2xDQ8nlXVRELsAvvqg0KZD1OswYMED54F1LmBkZ4c8lS6AjEODwrVvYU1hIsdUFBXJruZqc2rkT18Ri6AP4ho3vbyjweJQQyNaef/SIBB82gVQTcnOp5f2WLSR8NGtGzaQGDKi/jZUMDSlOd/58Ktm7cSNVBnNzo7CrJ0/o+08+AWbMoKZKbPOf0aNrpDu5Nlg1YQL0hEJcf/wYZ+7fL7+AoyPloAAUglBWwcjNBSIjcfq33/AkNhamOjqYERpK5+G99+TljT/6SB4XXU9x7dgR3jwepADOqOoUa2FBk2kFibFsovSEHj1Ke0yvXqV7XiqluPsFCxqO0Nm4MVWB0tEhpXnfPjqOfv1IidBmPxQtY2tujokyT9g21tN++LBK7wPDMPKQJWW5bUVF9HyLRORB9/Gpkf3mqCeYmckrqqmIRnFV8DyUGGGEQvKw3L+vPOyTNb6xc15qKs2HAoG82zSA5MxMZOfng8fjoWnXrrScFoq2KCUpCbayROlk9jfy8uQKg0BASs8biFrKwx9//IGWaiTr6OnpYdasWZiqZmfh69evw9/fHw4ODuDxeDh69KjKZWfNmgUej4ftajQGi4+Px/vvvw8rKysYGBjA29sb9+7dU2uflJKYSJaTKoYsvU5Px/IDB+AybRoW79uH+LQ02FtYYO2kSejavDky8/LQ/8sv8TwujqrMrF5Ncc8dOqhVTeTO8+e4GhYGHYEAC+uiXGcZfJs1wzpZ9ZkFe/cijPWEnD9feRUSGeKYGCyVlWad37UrnOuxBbZCOnSg5EhbW7qP2HhndXn4kLwN16+TNXr8eAp3aEjng8+nCmHvv0+J1Hv3Uj5E+/YkXCUlASdOkIXTwqLeNtUBAGcbG8wbOhQAsOzAAUiUVQhh67o/ekRKHtuXZfx4im9fuBAbZeVXZ4nFMHvwgJ6LwkI6VyNHlms2Vi8RCjFMNiaeuHVL+TLm5pQLo0Loz8jNxX8BAQDKhCxdukQWe1bgnjev4SgOLG3a0HUH6LrOmEFKYn0NuVJggWwe+S8mBjGmpvRsXrqkdNnA588RnZwMYwMD+CsWiGAYCkOZM4c8cTweeR3qq8GDQ3soVl1SAqs85BQUIDMvT/4Pc3O6b27fLi90Z2aWHgNYBcPJqdQzFZ6QAABws7GBXqdONPey4VHaRCwGsrNhIzuW5Px8eRU/xYpL1Y04qKdU2/+bnZ2Ny5cvw9PTEy1atNBo3by8PLRp0wZTp07FqArCFI4cOYLAwEA4qCEwZWRkoFu3bujduzfOnDkDGxsbvHjxAhbViZ9+9YqsJhrmETyPi8Pmo0fx6+XLJZ0fPR0dsWTkSLzfuzf0hELMHjQIfb74Ag9evkTfZctws6AAriIRWWeWL1drotnw778AgIk9e8JZRVxxbbNo+HBcfvgQZ+7fx7v//ot7vr4wunuX4je//rrilRkGBzZtwhMAlgIBln3ySW3scs3h4kIW1LVrKZRl1Spg+vSKBUSRiCzXx47RYNqoEcXAqqiR36CwsaFOoIMHk4UmNJQmmfBwCvupj9W0FFg2Zgx+Pn8eYTExOHTtGj6Qhe+UYG1Nx3bsmNJwj0AjI9zIy4OQx8P8QYPIG2NrS+EuNjY04TQQ/Fu3xppLl3AmKgrFIhF0NRSMD129iiKRCK3d3NChaVP68vx5yvtgGIr9njWr3iQUa0zPnnRd9fXLVYSpz3i7uaFvmza4GBqKXa6u2BwWRt6Hd94pNyexXoeRnTvLPUevXpG3ITSU/raxoetYk1XhpFLycmVm0v1iZCR/1fdQtzcNX18KXX34sHxTNwCGenqwNTNDclYWopOSSpeWdXamueDOHeqPwT77SUlqJUuzIUvNXF0pWqR1a1J8bWy0a4BISACcnWEr6xhe0iguL4/uQ2dnufLAMG+c0qzxE/Xuu++iR48e+OSTT1BQUAAfHx9ER0eDYRj8+eefGK1BNZxBgwZh0KBBFS4THx+PuXPn4ty5cxiihjVuw4YNcHZ2xj62ljQA90rawRcVFaFIIUknW1FTLCqiG1kDN3PAs2fY+N9/OHbnTolLrkvz5lg6ahT8fX1LZf6bGxvj3KpV6LFwIZ6lpuIdADfatkUjNRWH53FxOHrnDgAV3WnrCD6fjwMLFqDt/Pl4FheHeS4u2KujQ/GMwcFkdVZB3vXr+FLmofhi5MiKu7M2FMzMqD79d99RTPtPP1EVmunTyw9o0dGkbLDJYAMGUOO9uuigW9MYGFDTts6d63pP1MbSxATLx4zB0gMHsPLQIbzbvXvpzuOAvD8Fny9XDGxtAVtbbNq2DQgIwPt9+sBh1qzaPwAt0rF7d9hduoQkiQTXHz9G37ZtNVqfDVma1q8fNbSMjJQrDkOGkLW+oU+6ZRv/NRAWDBuGi6Gh+DkiAl9ZWMAkJYWEMLZLOwCRWIy/bt4EIKuyxFZUOnmShHmhkMIQR4+uOaOARELCWlYWCYg9epBVOD6eFImUFNoXHR1SJIyNadxpqAppQ8DZmca8pCSKplAyvrvZ2ZHykJyMdopKpUBACkFYGHnYvbzIyJSTo1aydLhMefBky0I3b05e4KQk7Xnsi4pKmlTaymSV5MxMuv9iYsr3engDG8Vp/PRcv34dfrIGMEeOHAHDMMjMzMTOnTvx7bffanXnpFIpJk2ahCVLlqgVNgUAx48fh4+PD8aOHQtbW1u0a9cOP//8c4XrrFu3DmZmZiUvZ7YjKkADUFoaUEmjMKlUihN378Jv2TJ0/ewzHA0MBMMwGObri5vr1+P2xo0Y3rmz0pJhNuHhuJiRAXcAkQD6p6cjTc0km02yazDM1xdelXQ1rm1szMxw6NNPwefz8cvt2/idjeHet091Q5iiImz/8UckAHAzMsIcbTcJq0uEQorbZhuKnT5N3ZnZco5SKXD0KHkYYmJI4VixghKj30TFoQEzd+hQOFpZ4VVKCr4/dar8AoaG1NRpyhQSgn18ABcXhKel4UhgIAAqz9rQ4bdoAdakc0KWNKsuwZGRCImKgq6OTkmMPY4eJcWhS5c3Q3FowAzq0AGejo7ILijAfjaqoEzlpUuhoUjJyoKNmRneSUsj78Lx4zSWde5MiuCECTUjOInFZP2NiKDt9+0LjBlDVu+uXenz+PH03r8/9UnQ05P3IAgPJw9JWlrVS4lzKIfHk4cuqai6VK7ikiKGhqToBQSQIJ6TQ0U3FCvPscpDGY/ec1leYTPWS29oCLRtSx4AdUuGV0ZcHHnRmjSBbaNGAIDkjAx5aHtZ5eENTJrWWHnIysqCpUyQPnv2LEaPHg1DQ0MMGTJE61WWNmzYAB0dHczToKPwy5cvsXv3bnh4eODcuXOYPXs25s2bhwNsIqISli9fjqysrJJXbGys4gbpQajE7TlxyxYM+/Zb3HzyBEIdHUzt2xdPvv8ex774At28vFSvePcusG4dHCUSXGzfHg6Wlnj06hUGfv01svPzK/zN+LQ0/CrrALq0nvY/6OXtjZXvvgsAmPn4MV4YGdFDryLBMuW337BBFgO59qOPqArNmwSPR5PZ8uU0kT14QL0RHj2iUry//EIDXMeOlB/QqVNd7zGHEgz09PDNhAkAgDWHDyOzbD1/FWw5ehQMw8C/Hir7VcLQEMNkZSRPBAVVXHq6DKzXYWSXLrAyNaUJV2bFxrvvcopDHcPn8zFfln+04+VLSCws6BopjN2/yxTGd3k8CL/7jqz/jo4Umvn55zVTYlQkIuHt5UsSMAcMoDG1bdvSneN5PPIyODtTj6S+fUmRee89qlLXqxeFlEqltL2qFLOor+Tnq9exuSZhS7beu6c0YdlVFmIdoyofwd6ePEcBAdTzpqhIHtLJ3gOAas+DYsO5Zs3I65CYWOXDKSE3l7xWbdsCAgFsZcnaJWFLQPlGcW9guVaNw5acnZ0REBAAS0tLnD17Fn/KSmlmZGRAX0UPgqpw//597NixA8HBweTOVhOpVAofHx+sXbsWANCuXTs8evQIP/74IyZPnqx0HT09Pegps4zk5FAICdt2XAViiQRHZUl/C1xcsMTNDQ4CASWBAjSIscfAfubxSEi8cKGkfnnjTz/FhYQE9Pz8c9yLiID/6tU48/XXKns2bD9+HCKxGN29vNBVw3yT2mTle+/h6qNHuPboEcZZWeF2Xh70fvsN8PMrbUl4/RqrT5xADoAO9vZ4T1YW842kSxdg/XoKZYqLo4kWIIVi2rT6XUmJAwDwQZ8+2HL0KJ7ExmLDv/9inYrxhSUxIwMHZDkQ9SnEsLr0bdcOemfOICorC49fvUKrMpO5MgqKinBIFis/ja1OdeoUCTze3nXfMZ0DAN3jK377DZGJiTjZvz+Gnz9PuQ99+yI/IwNHZMrDhMxM8o6OGwcMHVozSeEiEfD6NVlxHR0pPKlJE5W9j5QiEFAUARtJ0KEDCaUxMVTd69UrUigaMvn5dBwCAVU6rKt5pGVLmt8zM6nBbpl8PTdZk0qlngeA9tvNjSpdsjkD7LHEx9NYYWhYqn+MWCJBpKz8azPFanX6+iTsnzlD91F17s+EBBqjZBEqto6OAICUnBz5vrCeB6HwjW0Up7HnYcGCBZg4cSKcnJzQqFEj9OrVCwCFM3lX1lpcA27cuIHk5GS4uLhAR0cHOjo6iImJwaeffgq3ChLPGjVqBK8ylv4WLVrglZpVfkqRkECWlEpai0e8eoVCsRiGALa8egWH69eBc+eAs2fpdeYMhaicPk0T5MmTpFicOUOKg59fSf1yLxcXnFu1CqaGhrj++DFGr1uHYiUl8jJzc/HT2bMAgGX11OvAIhAIcOjTT2FlYoLgtDR8ZmRE51VWXpYl4vvvsVtmodj48cc11hWy3tCkCZVgZRNFPTyA7dsppphTHOoXDFPO5a0jEJRUFdt+4gTi09Iq3MSukydRJBKhs6cnutVjZV9TjNq0wTuyzycqaAylyH8BAcjKy4OrrS3eadOGJlfZeIbhw2tmRzk0xkhfHzNkDd22xcWRIS01Fdi8GSc//hi5EgncAHTp2RP44QeqFKZtxaGoiIx40dEknA0dSjkULVtqpjioQk+PLNP9+tHnmJjyJZYbCgxDuXReXpSnKas8VCcodptWUnWpwrAlFl1duubR0aWjPxSTpRXmyuikJIgkEhjo6cGprBHDw4ME/up4HzIyyLvVtm3J79rKvGt5RUXIkzWMK9db4g1UHjT2PMyZMwe+vr6IjY1Fv379SgS8xo0bazXnYdKkSejLWqRkDBgwAJMmTcKUKVNUrtetWzc8f/681Hfh4eFwVcMaVo7ISLp5KxFiQ2WhQ94CAfjjxpUeeBhG/reyz3Z25E5VSJpt36QJTn/5Jfp/9RXOBgdjwpYtJb0TWHafOYOcggK0cnXF4AZQN9vRygoHFizA0NWrsTMvD30ADD96lCzsNjZAUBBWPHwIMYBBLVuiTz2vca81rKyo9GpkJCkRXFWQ+klEBFmQPD1LPav+vr7o7uWFm0+e4Os//sDPKiqD5eTn44fTpwGQ10ETb2q9obCQrIhlQ1FatIA/gNMATgQGYvnYsZVuig1ZmvLOOzSHXLpEybYODlwfgHrGJ0OGYMvRo7j25AkejB6Ndv/+CwQE4HfZ/8f36gXeokXa/2GplAR5sZiERG9vwN295krduruTAnHpEv1uGcG0QcCWu+7ShQTYs2fVMoDWGL6+VK737l0q1a2AWsoDQF6i4uLSvX9UJUvLlCUPF5fyxkddXSqffPo0bU/TqnYMQ0nXXbqU6ltjbGwMfV1dFBYXI0VXF0YAhS0pVljiwpYIHx8ftG7dGlFRUWjSpAl0dHTUqoRUltzcXERERJT8HRUVhZCQEFhaWsLFxQVWZcKFhEIh7O3t4ang/nrnnXcwcuRIfCKbtBcuXIiuXbti7dq1ePfdd3H37l3s2bMHe/bs0fxAExKoRGYlPJRp1a2dnSmeUgt08/LC0c8/x9DVq/Hv7duY/t132Dt3Lvh8PgqKirBd1q2zIQkiQzp2xKLhw7H12DFMEQgQWlwM54MHgU8+wZ3vv8ffAHgANsycWde7WrsIhbVXkSUujqwgFhb0ami188uSm0uWyUpCC6tFYiJgakrXKSWllPDM4/GwYfJkdFu6FL9cvIhFw4ejhWLBBRl7L1xAZl4emjk6YphiLfyGglRK1j4ej861ogBnYYGh9vaYnZiIwBcvkJyZCdsKqtNFvn6NK2Fh4PF4mNK3L4UfsN2Hhw3jquDUM5ysrTG2Wzf8cf06tqel4YC7OzJSUnA6Px+QSjGhpjzfaWlk5e3Zk8JXasOw4upKydUXL1KHZHf3hqNAiESkKPTtSwI3m6Ny6xZ5aOqi2k+HDvQ8R0eTYqMgdLO9HrLy8pCZm1txVcWyBgtVydJsmVZVYY9NmlBY2uvX5RSPSklJobGvTIQNj8eDraUlXiUmIlkggBtAyklODs0bb2ijOI1H6fz8fEybNg2GhoZo2bJlSTjQ3LlzsX79eo22de/ePbRr1w7tZK6tRYsWoV27dvjyyy/V3kZkZCRSFVxEHTt2xJEjR/DHH3+gVatWWL16NbZv346JEydqtG8AyBJWWZnQ3Fw8lGm7bbRsMevXrh3++uwzCPh87L90CQv+9z8wDIMDly8jOSsLLjY2GCerfNVQWPfBB+jo4YEMiQTjAYivXgWzbRs+S08HAEzu2RPeDageeoMiL0/e5ZVhyJoeFSWv9tTQYBMds7PJnVwT5OfTwN+5M523zMxyiYhdW7TAiM6dIZVK8fnBg+U2IRKLsfXYMQDA4hEjIGiICltCAnlJLSyU3i9O3t5oD4ABcKqShpy/yBJu+7VtCxeZ1xGJiVSTvWzPDI56Ads07o+bN/H6iy/w7+TJEEml8HZ1VSvHRWOkUlIe2rSpfY+skxMpEObmlJRdU92Jtc2rV6TssGHbPB558Vq0IOFd28dRVAQ8e0bXSRWmpnLDWJnQJSN9fVjLwnxi2ARjdVHR4yFcJo96qjLGCYV0T4lEmlXYkkgoabtNG6VenJIu03l58rL+iknTb2CjOI2Vh+XLlyM0NBRXr14tlSDdt29f/PXXXxptq1evXmAYptxr//79SpePjo7GggULyn33dZmmY0OHDkVYWBgKCwvx9OlTTJ8+XaP9KkGd/gK3byNUForUuoLeBVVlROfO2D9/Png8HnadPInPf/0Vm48cAQB8OmIEhA0szEVXKMSfS5bA1NAQtwB8DeDUrVu4DkBfRwffsGVMObRPfDwN5O+8Qx6yoUPJcpOeTklpiYmlyjDWe1hLVvv29FnbcaUSCU3IrVvThNysGf2ekolu7aRJ4PP5OBoYiNtPn5b63183biA2NRV25uaY1BCLAOTmkiWtSxcKMVRmRfPyAtsXvKK8B7FEgv2yTsUlHaWPHqX3gQO1E8P+tpKdTeVH2RKkKSl07bRQdce3WTN0bd4cIrEYu8+fL6myNIEtsattUlLoXqurHhkODhRSa23dMBSIrCwSjH19S3sFdXWB7t3Jcq9YRbK6FBXReXF1rVh5AORVl5SMCyWhS7IkZ7XIzZXnFJRtEMeWaW3VSvX6jRvTvPf6tfq/mZhIUSgqKmfayhKlkzMzlVdcYhvFvUForDwcPXoU3333Hbp3714qXKZly5aIjIzU6s7VOWpMZBmXLoF9JFtX0oyuqrzfuzd2z54NAFj/77+ITEyElYmJfPJtYDS2t8eejz8GAKwFwAYpLRg+vN50yH7jyMggZZhN9DIyoonZ3x8YO5Yql+jrk0UnMpImo/o82Ekk5AVo25a8At7e5MrWZnnCV6+oqkunTvKOtW3aKPU+tHB2xlRZjtZn+/eXlCxlGAYbZYUB5g0dWr6ZXH1HIiGhg7UAOzkpV9IUlIfzDx6gsLhY6ebOBQcjIT0dViYmGN6pE1VhefKELMuDB9fccbzp5OaSMNShAxXgcHOjcInMTBLywsPpXMfFkbGgoEDj53uhLJF918mTuProEQDUjOebtfK2bq2eAa+msLcnD4StLY2JdV36VBUSCV37Nm3o+SyLuTkpEHx+5YK+OhQU0D3VunVJuVKoeN4ByPs9hIWRJ1cBtfMeFGFDlqyty90f4TKFwLMi5UEgoHMlkaiXiyAS0fPVvr3Kfks2rPKQkVG+4pJio7g3CI2Vh5SUFNgqxK2x5OXlNZjYe62RkoKHMiujq5UVzBRrTGuZmQMHYpNCovgnQ4bAqAFb6d7z88P0/v3BAEgAYGlkVG97VTR4pFJK9GrdulTMKQBSJGxtaYB/912qdNOiBYU4PX9O3or62EDp9WuyDjZrRoJnt25khYqK0o7Sk5FBk0y3bhROw1KB9+Hr8eOhr6uLW0+flljfzwUHIywmBkb6+pjdEIXj2FiqUOLjQ/eKhQUJIWUFKXt7tLewgAOo6sjVsDClm2MTpSf17k09XGThXPDzq9m8lTeZ3Fx6Tjt2pPPo60uNCd9/X94kbeBA+t7OTt6R+cULUiqio9USjEd07gxXW1tk5uWBYRh0a9GipNymVklOpv0sU9qzTrC1JQ9Eo0b1V4F4/Zr2r6Lu7m5uZARJTS0nwGtEfj4J723bAr1703atrCoOG3VyIkVMLKZu04q7Jbt/NApbUpHvkFtQgPjMTACAh4dHxdtwc6P8B1mORIXExVE4WAXbZCsuJaenK/c8vIGN4jRWHnx8fHBKoaMqqzD873//Q5cuXbS3Zw2Ba9fwUPaxTS3UJV88ciS2f/QRRnTuXBKD2pDZPn16Sbzsl+PHV5wwVZtIpXJLXmQkCd4NmaQkmgQrssYAlFDXpAlNlmPHyuN+4+LkMab1AZGIJrF27eSWIGNj8p6YmGjmjlZGcTGdMx+f8kl1bLdSJd4HRysrLJA11Vr+668QSyQlXocZAwbAor7c3+qSlUXvnTvLLXyWluSBKSuA8HjgtWwpD11SUpoxKSOj5Ptp/frR5Mo2hePKs1aN/Hx6Pn18SNFVzKcRCOj5dXGhsqbduwOjRgETJ1LY4siRlFxrZaVWSU8dgQBzFQqj1EjIkkRC913Zhm91ibU1jYnOzpQnpq0uxdqgoICs5x07Vu6laduWDEivXlVNCcrNpXXbt6cGe3p6JBg3biwfK5Sh2G26zLjANorTKGxJRb7DC9k9bG1hUdLIWCV8Pp0LPr9iZaqggOSBdu0qrPJV0mVaMWxJ0fNQXMwpD2vXrsXnn3+O2bNnQywWY8eOHejfvz/27duHNWvW1MQ+1k8YBrhyBaGyP1vXUpLv/GHDcOTzz+uPoF0NDPX0cGXNGhxbsQLz/P0rX6GmEInIchIbS9b2iAgaDE1MyL0pFtOg2RARiShGvX370hb0yrC0pGMfM4Yq4Bga1p8OrAkJJBCVtQTZ25OAVFhY8WRWEQxD3ovmzeU1ysvi4aHS+7B09GhYGBvjSWws5v/8M66EhUFHIGh4yr5YTOe5ffvSFj5TUxJI1ch7KNtt+uDVqxBLJPBt1oyMBidP0sTcujUJIByawTYD69CBFAd189/09EjAadyYnvH27UmwUSOs4qP+/WFlYgJTQ0OM7datmgeghKQksqI3a6b9bVcHS0sypri5kUGpvigQsbE0VlVmaQdImezalYRuTY1BOTly71aPHqXLnDo5kRBeUb6cYrdpBcWl0kZxylBVplU2P3mqa8h1dqbzVpHiHBdHy1Qi39k6OACQKQ/KGsWJxW9cuVaNlYfu3bsjJCQEYrEY3t7eOH/+PGxtbREQEIAOHTrUxD7WT6KigNhYPJR5XtrUUL7Dm461qSmGdepUuyFvBQUk+LGxwK9e0cDn4EAWlZEjqVPqe++Ra7Z/f3k+QH3OA1BGfDwJ2lUNAdDRISGjZ08S9DStiqFtioroWrVtq9wS5OlJVq7Xr6sWbvX6NQkKXbqorgNegffB3NgYK2R9Dti+DuN79KCqQg2JmBhy1bdvX7pUJY9HwkJeXvl1vLzQB4AhgNjUVIRGRZX8i2GYkpClaX37kuB77hz9k/M6aE5hoTx8pHv36vU+aNqUrrUa3gczIyMEb9+OB9u3w0bbvQPEYrJut22rMra8TjE3pz4QjRvL+77UJampZBDy8VG/vLGxMd0vhobqN0vLzqZ7w9dX+b1mb0/hjLKQIaW0bEmepKwsCpeToXHOA8PIDXllk6VlClEzdZPs+XzKlRMKlVcczM4mRbtt20rPr61MCUrOzi4ftsTyhnkeqlSqp0mTJvj555+1vS8Ni6tXIQHwiMcDGKbWPA8cVSQ3l6xaYjFNTCYmVDnB3p6ERUtL1RNW48YkSF66RFanxo0bRi36/HwSbtu317whTlmaNqVzeOUKDahsJ83aJi6OQqtUWarZ8oQZGcDjx2Q1Urc0am4uDfA9e8onAFV4eFD8bpm+DwDw8ZAh2HHiBGJllqclI0eq9/tVpaiIhPnKXPXqkp5O17hLF+XPhLU1KZKKTZAAwNUVBoaG6Jefj2Mg70Nb2XUKePYMz+LiYKinh3E9elAd/fx8Skh/m4xO2qCoiIxXbdqUtwJXBR0d8rLFxtI1MTSscPEaU4QTE8mA07RpzWxfG5iZkQLB55MQ7O5eN/0TRCJSHvr0kVu61cXBgTxV58/TmFdRFENmJuWgdOlC4YvKxlI9PRqP791TvS86OjQP3bhBVZdkAj4btpSRm4vs/HyYVnLvITWVxjqBoFxyeInnoWXLirehiKMjebkePSrtvWEYeQECR8dKN8PmAafk5MjPQXo6zb/sOXsbPQ/Z2dlqv94KJBLg+nVEACiQSmGgq4smZZuY1CeKi8nKHh1Ng0F9LzunLRiGqks8f07CpKcnVRd6911gwgSaBLy9aXCozNLl5ERJh/b29S/uVRXx8TQwassr1rq13KpfF1aU/HyatNu0qVghEArJQubkpL57nq0q1LateiETFXgf9HV1sX7yZADA8E6darZviUhEgmRhoXbuS5GIFKIOHZRXbgHkinbZe0AgKOk2DZTOe2C9DmO7dYOpnp68Kdzw4Q1DEa8vsIqDtzcpudoSXF1dSXhSJ4G0JmDzmNq0qf/lek1MaO5g+ydoo4KRpsTHUyhNZXlsqmjRgoT52FjVHpSMDBLWu3cn5aGiMZdtjFnR+MOGLimMCyaGhrCUhdPGqON9YMdzJ6dyHpDnMs9ZM0287DwePUv6+qV7MaSnk6LYurVam2GVh+ScHDBmZnSupFJ5Ivkb2ChOLc+Dubm52mElkvpYjUDbhIUB6el4qK8PFBbC282t/jZ+ysggi3vz5vSgvH5NlgQej9yw5ubVc3krIpXS5KanV7cCgVhMAlBWFrlTO3eWx6lXJzzKzo4S5y5flnsgtHXutE1WFgl47dpp71rw+aQ85OWR1b1p09o9/vh48hYp6eBcDlNTssqeOkUWzcqU+5gYmox9fdU/Xx4eQGioUu/DhJ490dLFBU3V6FBfZSQSug89PUnoCgoia6iLS9WTTaOj6bpWVLnFwoIEqLy88lZqLy8MuX8fABD04gUS0tJgYmCAv2SJ0dP69QPu3KExyMSEwgLrKyKR/FVcLP8MkPBS22M+awRq2ZLCK7UpZPP5dM2jokiIqm3P4uvXdE7rs9dBESMjmgvs7em5i4qi56427glWCPX1rbryyOdT9aW0NNp3D4/Sc2NaGhlG/PxIyahsTGzUiGQJxYThsrDdpmNiSo3Jbra2SM/JQXRycuWGFhXJ0gzDIFwWJtRM03yZRo1IPgoOpvueDc/VoAIcW6pVLJUis7AQFlZWNMalpND50NOrOKyrAaKW8nDlypWSz9HR0Vi2bBk+/PDDkupKAQEBOHDgANatW1cze1nfuHoVABDq6AhERtbPkCWplKwKPB4JUe3akXs7J4ce3Ph4ehBfvSJh28SEHv7K3IYsrKWIfUkk9Fu6uvTbdZEDUlhIilJREQn6vr4k4GtzImQT565eJY9GXbmtK4J1uXbqRAOjNmGt+vn5ZOn28KgdRZGNP2UrZKiDoyO55y9cqFggSk2l+7ZrV/Xvf4CWbdOGtm9jU05wqNE8KKlU3qSpVy86NhsbIDCQFDtTU3oGNCElhUIYOneuOBRGR4dCHx4/Lh+m0LIl7AF0EghwRyLBqXv3wOfxkFdYiGaOjuju5QUsXUrLDhpUN88Ow9D4VVhIAjmrGBQXl85p0tGh+11Xl95NTen8ZGfTuW/SpPaMJCIRKYotWpDCVRM5AWwTrPv3a1d5KC6mMbtNm+qHYNUmQiGFSNrZAbdukeLu5FSzvSmkUnnisotL9balr0+yQXY2bZP1NKakkJzQs6e8L5A622rcGHjwQLXyYGJCim9YGLB/P40DPB7cbG0RHBmpXt6DimTp5MxMZBcWgsfjoWlVFNBWrSj/MTOTxgV1qhMqoKenBzMTE2Tl5CA5MxMW1takPCgmTefklA/1bMCopTz0VCjJ9s0332Dr1q0YP358yXfDhg2Dt7c39uzZg8kyd/0bS1EREBAAAHgoG+ja1DfloaCAHrJGjUh4UhRiTEzo5eFBx5KcTMrEy5d0oxcU0ITOWhcBephYJYGN29PRIeGJ3ZalJbn58vJImCosrD33c3Y2HQefT1bpli3JilxTgompKZU4FAopVtLFRTOhs6ZJSSGLSZs2NbN9Q0MSWPPzyWrVuHHND4ivX5MFTFNlyMuLXNCBgXQ/lhVOiorIytanj+ownYpgvQ/JydpX1FTBVoT6f3t3Ht9Ulf8N/JM0aVpK05LupRuUAqWFsooFh5ZFFhkQfjyPI8MwiCvKjtswo6L8RtEZHRFlxHFcnpnBF6OO4IpMRxFZCrKKirbAFAp0p/ueNvf54+SmTZu2SZs0Sz/v1ysv6M1tcpKe3JzvWb4nNFTsFi439OS/S2gocOSIaGzKm4V1paFBvE8zZnQ9SgOIc779tv3xhARArcY8vR7HIKYulRinA9w5YwYUWVnATz+J60ertJ9219wsXlPrW+vgQK0W1weNRly7/P3F+9ivn6gnGo34t/X/5UDh+nVg717R+dIbWaLkwGHoUFFPHXWtkadwnD8vXmNv7buRny+uob2Q7twhoqPFdNhvvhGficpKcS1wxDWxoEB8vtsmMuiu4GDRRti7V8xSkFOKTpsmGs+2PEd0tAg8W8/zb+uOO0TQcOSIeM5bbrFtl+kO9njIMiZniIuOhqY73/uhoSIw/+Yb8ZpnzrQ5CAwNDhbBQ2kphnW0UVxDg+tPy7OSzQumMzMzsWPHjnbHx48fj7vvvtsuhXJpx46JD1dYGL41VgyXGnkoLhYXgVGjxDzFznqQNBrxgY+OFkOK16+LnvtLl8QFvbBQfJB8fcUtNlZ8yAICxOPKX7atLzDNzSIQuXjRsV8GBoNo7Fy/LoaQk5LE0KOcNs7R+vUTF1i1WvT0RkbalgrVUZqaWhqB9s6G0lpgoOgB3bvXvNfKEcrKxHs7cqTtX5hyjvHycjFS1HqkxGAQdX3ECKvntrbTevQhNLR3pi1cuSI+e9Ont2/gKZXiS1+nE3soZGeLz21nDU5JEl/Kw4db39s2YIB4rXq9+dQ1tRpISMC8c+fwGIDPT52CvqkJXkollk2bBsiJNtLSxGPYS12dyAjT1CT+5kplS8O/f39xjZP3qOjXT9z8/MR1zda/WVCQqPuffy4W8Duy7jc1tVxLp093/N4HwcHic3boUMuGgI4kB3UpKa47BdQafn6iTkdEiIbx+fPic2fPDiw5McLPfmbfkaEhQ8Q18uuvxeuYNk18n9qq9dSljgLPhARg2TLgjTeAv/4VGDYMscbgocuN4vT6lnThbdpc2cagYpi1mZYsSU4W3xFabbeyE4aEhOB8Tg6Krl+3vFFcTU3vdqo6mM3BQ3R0NF5//XX84Q9/MDv+17/+FdHWzEV2d8YpS+WTJiF3924ALhI8NDWJBoCvr/iSGTnSti9FpVJMQQgJER+iykpR8VWqll45a/KIy1u/5+RYlbmjWwwGcXHW6USvyZAhtmecsAeNRnxheHuLea/NzeLi6Ux5eaIxk5jo+OeKiBCv//PPRV1xxN9AkkQQO2lS9x9foxFfuBUVLSlIAfFehYSIINvaHPmW9OboQ36+KOu0aZ0/V2Sk6NnPzATOnhX1sqP3r7BQNBRteR/k3vrq6vZBwIgRGHnuHGJ8fJBrHKmcO348whsbRcMKsG961poaEVAlJ4v3RA4O5ADBESOQAweKUZ5//1u8f47YaVle0zJokOgM6K3OiaQk4McfxWfaEa+rtbw80RD0hFTnSqUIwENCxOfup59EI9JeIzi5uWL0yd57YCgUovOwrq4l+1B39OsnRpB++KHz1zx/vpi69M03wB/+gLglSwBYka716lXxmfDzazc1KuvKFQA2pGm1JChIXAMDArp1zTCla71+vf1eD603inN2G8FObO5WePHFF/Hyyy9j5MiRuPvuu3H33Xdj1KhRePnll/Hiiy86ooyuo6JCLKoBcNYYMMSEhDh/w7bqajH/fOBAMXw6enTPe0C1WtHbFRsrGgq2NK6io8UFyFGZOwoLxYdzwQLxYXdmDn21WgQwN90kLhTOyLwhk3vxxo3rvd6N+PiWhrkjsq2VlIj6192sIrLAQDG/V60WjaLKSvFeTZrU8x5wefShoqJ7O7daq6RE/I3T0rrctAhASy/ijBktU1/alq+2VszFnTjRtkaOr6/43FnKIJKUBAWA+a16re+eObNlU7jRo60rvzUqK0WjYsIE8TrlbFlRUaLeOHJNhVz3a2pasqrYizziEBMjXldvrkHQasUaubIyx9bn+nrx+CkpPQveXU1QkFhMnZ4uGos5OT1/H0tLxXVm/HjHvFdqtRhN62lgEhcnXmtnGR0VCmDtWhEA5Ocj7ssvAVgxbUmeshQT024EOjs/HwAwrLv7GclGjuz2WpJQ43RPi7tMq9XiGuxBez3YHDzccsstyM7Oxrx581BaWorS0lLMmzcP2dnZuOWWWxxRRtdx8KD4UCQk4KxxkySnbg4nSaLnprBQfHnOnSt6HJ1NoRDTQDQa+6cna2wUDYZx4+yX176nvLzEsG96uiibtZvv2NvVq2IUprfnDo8cKV5/QYFojNpLc7O4+Kak2GcKVkyMCPTKy0VgO3as/bK7DB0qemlt2SnVFuXlLdlPbOldUyrFZ/HnPxfrFM6fb/kbyUkV5Cl/toqKsvxlaMzsttD4PJE6HeYkJopeesB+ow5yJrnU1J5vlNZdSUni+YuLLW801R1yZ1BMjEgJ6oyeyuHDxXeJsVHmEHl5Ys2IK4zc25u8mPrnPxfTGc+f7379aG4W15UxY6xbj+RMERHiWl1R0fl5/v7Aww8DSiVijR2y16uqUN1Z47qDxdIAkGW87tqcacmOTCMPrYOH1lOxFAqP2uuhWyFsdHQ0nnnmGXuXxfUZpywhPR3fGlOGOW3KUmOjmK89YIDoiRw61LXypUdEiHmDZ850f3djS+QGsj0f0x4UCtHrqdEABw44fi50W1VV4gtrzJjeTyGpUIie69pa8feOj7dPQ66oSDTI7TkFKzlZ9OKVloqA216LGn19xd9/3z77r32QNzi86abuL4IfOFA0ZI4cEYv8AwPFKEZISMebP3VFnhPfdoGknx8QF4dpOTl45+c/x4ibb4bqyy9FoBEdLYK2niopEQ2Um26ybYdde5M3JayrE1MXY2O7P+onZ0mrqxN184YbnJeIwddX/J0++0x819g7C5LcSBw1qvevV73J0mLqgICWhfuW/pVvstJS8TjdXZfVm+T1RT/+2PWIbmIisHQpAv7f/8MAAGUQ6x6SOur572CxdFNDAy4aR/ydGjzIez1UVLTMhqioaElfD3jUyINVwcPZs2eRnJwMpVKJs2fPdnruKHeo4N2RlycWHyqVwE034eyBAwCcFDyUl4te3mHDxLSLrnbDdQZ59OH8eVFee/SeVVSIIdsJE1xzcZ1CIRbfajRiJ+acHNGYcHTDRpJET/r48VbthukQKpVoyNXUiF7TIUN61ihoahJ/71mz7LtIVKkUvfd6vf2ndsm7Tttz7UN9fcu0nJ4GO/37i/VQoaEi+1RDg/i5u6M68gLk2tr28/GTkoCcHCyWJNGD/vTT4vitt/Y8YCsoEF/C6ekimHJ26kOlUlyH6+tFA7E7+5+4YmfQkCGioXbtmv3XJOTlice30IvscVovpj56VHwftq6zCkXLz63/lf+v04kA3xHpeR0hNlZ0UBgMXdfhhQuB775D7KlTKANw6erVjoMHeY+HNm2uS5cvo8lggK+vL6J6s8OujdYbxaF/f9EOkLP5RUaK70N7jU66AKuCh9GjR6OgoAChoaEYPXo0FAoFpNaRsZFCofDcTeLkUYcxY9Cs1eJ7YxTc62la5fna8uYtrpwXOzRUNKa/+UY0UHryJW8wiC+c1FTnNZCtFR8vGqb797dsJufI3rXr10Wjw9kNKV/flnm+chrL7panoECM3DiiJ8nLyzF/D3uPPsgNylGjROPUHmX28hJlDA4W9aYn07a02pbsKm2DhxEjxBqHc+fE4tGiInENaJX2u1vkbCszZojncBVqtVhT09DQktXL2r+X3Bk0dKiYVucqnUHySOaVK+Izba/Gq7xTvC17trg7eTF1TIzouJCDg7bBgqVjSqV7rQmRMw9WVXXdMaFUAuvXI+7OO3FGr8elDz4Q17q2qqtb1g+0CS6yjEFFQkIClE6sT3LwUFxdLf5uwcEi8C4uFu+Jh20UZ1WNzMnJMe2gl2PMp9unSJLZlKWLBQWobWiAr7e3Y3eQbauoSPTsTpvWvbSVzjBypBixKS3tWdaJggIxhaWznW9dycCBwOzZYjfq8+dFQ9oRgZ68LiA93TXWgMgpXD/7TAROYWGiF8aWuipnpZg61f3S2iUkiOxGPR19aGoSKY+HDxeNUnvXnaionk+rUyjEY1hKjCA37C9dAv75T/H/nmwKJ0ki24y3t7j+ueJOxHLwXF9v3SZyBoMIhgwGMWo3bpzrdQbFxYn3+vx5+73neXli1NyJvcRO40r7ATmKViu+/y5etG5UMyAAcTfcABw+jEvZ2eI7c9o083PkKUvBwe32X8g2dij0eLF0D5lGHuTRhZAQcW300I3irArTYmNjoVAooNfr8dRTT8FgMCA2NtbizSNlZYnGq48PMHEizhoj3eTYWHj11nxNeah+2jTRY+MulU/OlFNU1HkGhs7I+a0nTHCNvRSsFRwsAojhw8WF1BHzHQsKRCO1O3m5HSU8XPQMx8eLqUdZWaLhZ+2Q7bVrYujbHTeN8vUVn8+eZF6Sd48eNEg0Rl15ukJwsChv25FonU7UA3kPCbVaBA/dYTCIKYD9+olpbK4YOMi0WhH0BgeLOt+R+nrRqRIQIBJddLWrt7MolaLDRm749FR1tehF70ujDn3RoEHtd2zvRJxxXdtlANixo2WEUdbBegcAyDImKHHmegegJXi4XluLpvp6y3s9yBvFeQCbPr1qtRr/+te/HFUW1yWPOqSmAj4++NY4+tJr6x0KCsQHUd710d0kJbVMk+iOK1dEj66TLw7dotWKjCmjR4vGhD2zTzU2iqBq3DjX69GKiRELBX/xCxFARUaK7Dg//SS+GDrKylRf35LO0xXXtVgjIUEEdNbsmNqWvHt0eLj4vLt6sKzTieDGUhaR1gFtenr3UuLKex3odKIeuUMHVUiI+Nv5+rZvBAGiJ/LyZTEqO29e7+zQ3hMDB4oOkLy8nj9Wfr64jrv61FPqmdZTl6wgbxR3Sb6WPPeceSNbXu/Q9vMvScg2Ns6dHTzodDrTtKmS0tL26Vo1mpZRdQ9gc+i/YMEC7NmzxwFFcVFNTSJFKyC+AAHTyEOvpGmVd02dPt215vjaQqsVPU0lJbaPPpSViREfR+W37g0+PqI38sYbRSDY070gJEnMnZQ3kHLVnliFQjT6Ro4Ue3Lcdhswc6ZoXJWUtAQSrS+m166JEQd33jRKHn2orOx49EGvF1+sxcXiPbh4UfREnz8vGtnTp7vGNLSuDBjQsllcW62vV91JzyoHDhERYsTBFdJQWysqSqzvMBhaeh6bm8WIkrxQ3dG7wNuLQiHWU/n792w/i6oq0YBylym31H2BgeLzWlpq1elxcvCgUonPxOXLYhdqWUdpWuvqkGVsnDt72pKXlxeCjFOzi1pvmtp62lJjo8eka7W5NZaQkIDNmzfj8OHDGDduHPzaZEJZs2aN3QrnEk6fFhe9AQNMqdJ6LU2rPJd4+nT37HVvLTFR7DxZVGR9rurm5pbdhXtzbYkjqNXidfj6AocPi8ajrTm7m5tFQ6S8XARk48aJL3V36KGXF5AFB4vGQ0mJqN/nz4u/cUODeG+USvGa3H1Kg7z24erVlp75hoaWNIze3qIhpdGIuq3Tib+pn59YG+QOgQMgAvqICLEwuu1mjRMmiDUvKSm2b7wkb2o3aJDoxXeX96O1hAQRGH/5pfjslpeLxs/kye7X8x4SIka9jxwRDUNbG//NzWLUISXF/a/lZJ3Bg8WUVSvm+MvBQ3FVFWoeewx+Tz8NfP65+K646aYOpy1Vl5Uhz7inhLNHHgAxdam4uBhFZWXtpy152EZxNgcPb7zxBgIDA3Hy5EmcPHnS7D6FQuF5wcP+/eLfKVMALy9U1NTgsnFDEocGD1evigbUtGniS8jd+fmJqSgZGeKLyJq1Ivn54ovGXRZJd0WpFBmy+vUTe0Hk5oqc2F19EdfXiwZ2fb3I4jN1qrgwu2ODChDvQ2iouKWkiIDy2jXR8x4UJN4Td+frK17bN9+IQCE0VLy2/v3FZ0G+9evn/nnuw8NFitK2AgOB11+3/fHkwCEhQVz/enN3ZXsbOVI0Fk6dEqOnN9xg39TDvSk5WTQGi4tFfe5Kba1Y+yOPSgUHu9d6PeqZiAhR16uru5x+Gdi/PwL8/FBRU4PciAgk/t//C7z7LvDKK+LzX1srrpNtgu7zxqAiJCQEA7ozLdLOQkND8cMPP4jgQZ4RII88AKLu99XgoU9lW6qtFV/+QLspS9HBwRjQZtW/3eTmiih1+nT3XDTakWHDRP7n/PyuM23U17dk3HHXL1tLFAoxCuPrK3okc3JEb0rbnnZJEl+8xcXiohkdLaaBxMW5XwaiziiVovEZHi6CRA/JRAFAzPmX0/a6+0hKZ3Q6MQKh19tnFCw/X4w43Hyz+3/25U3kYmLEKIw714OAABEQf/GFCITbBr16vZiqV1Eh/u/rK0bsk5PF5zs0tF2mHPJgAwaIv3tenlVrt+JCQ/FtTg4uFRUhcfFi0VY4dw549llxQlRUu+tLlnFNkSuMOgCtMi61HnmoqxNrE+VrWV+dttSnnDkj5qhFR4ueXrQEDxZHHZqbxZdDTxo/ly+Lxsb06e4979sSHx+RN/yzz7puaFy5IqZqecKoiyVxccAtt7Skco2PFw0weWpSWVnLl7W8wNCdGx7WcPce+LaUStdbyO4IOl3Luoee9v41N4sv2+Rk9w8cZF5enjNVJzFR7B5cUCDmtFdXi2Chpka8zoAAcc7AgSJY0Ok873NN1lEoxPfahQtWnR4bEiKCh8JCUWceeghYu7Zl0bWFZAnZxlkgLhc8VFaK9o68aLy4WFzPvLzsmzTFiRg8dEYedUhLMwUEHS6WbmoSC0DVatEI1GrFhdTa9HuSJDIK+PmJhXTukFWkO4YMEb1w+fkdz4MuLRWNrvHjPfuLJzxcpK/cv19cYOW58XK2FneemkR9h6+v6GW7erXnwUNJiaj/nnr9c3f9+okOoL17RaeHn5/420+Y0DIV0ZNGRqln5KlLrXveOxAXFgYAuGQMCBAcDKxfD2zeLH5ue03Q65FlTD7i7MXSsnZ7PQQHi2ChpER0GGo0Itj2AAweOpOdLf5ttStqh2lay8tFY/CGG8T89NxcMY+7sVFcTLVacbPUGJZzoffvLwIHWxcXuhNvbzE95ZNPxALStptGNTeLOfA/+5ntC4rd0YABIpPMgQMicPDEqUnk+aKiRGOyJyRJjLhNnerae1v0dUOHimtV//4iWOjOAmrqG4KCRB2Re947IS+aviwvMAZEB+KyZSJYbbvzdG0tso3rCVxt5KG4pkYcCAkRU5PldQ/e3mJqnwdMz2Xw0JURI8RcVQAGgwHfGRfotBt5KCsT2W+SksStsVFUmOJiEUgUFoo0fZIkLrpyZhVAVK7AQDFVqS/sujl4sGggX73afmpWXp4YDjdmtuoT/PxEDnvA86cmkWfS6UTdNRi6X4crK8V10ThFlFyUWi2+64i6olSK2QZWrJU1pWttuz/OokXi1oZUU2OatuSSIw96veWMS42NouPUzTsIGTx0xbhQGgAuFhSgtqEBPt7eGNJ6DmtTk/i39YiBt7doBEdGinnrNTWiAhUWilGG69dFQ1mvF0N7N9/sXnnMe0Klatk0rb6+5UNUVyc+VBMm9I254q0xaCB3ptO1TE/o7sZ2RUWi04BT9Yg8R0SE+D6vre30e920UZw8bakLhYWFqKyrg1KpRLyLJJYxBQ81NebBQ+uN4mpqRFunLwYPu3btwvz589HP0xt4Xl4ix7CRvN4hOSYGqtbTj8rKxPSTzhbFyakZ4+JE47i8XAQTpaWi970vTNFpLS5O9EhcuNCSUerKFTHS46qbnhGRZVqtGD0tL+9e8FBfL663LtKDSER2EhIibvJaxg7IIw+F5eWoa2iAb9spzW1kFxSI34uLg6aLc3uLKXioqhIdoW03ivP2Fsc9IONSt7o7H3jgAZQY34zW//c4yclmqeU6Xe8gp2S0hlIpeteGDQNSU/te4ACI92DUKPFvTY0YienfXwyHsxeeyL0oFGLKpTzX11ZFRSKrXV8ZfSXqK5RK0T6ytAt9KwP694e/ca1Tbut1D5YYDKadpV1lvQPQEjxUNzSgtqqq/bQlOaOiB+z1YHUrLT4+HsuWLcNf/vIXNDU1QWFc7PGPf/wDlZWVDiugU91wg9mPFjMt6fXiX09e5Owo0dEigLp6VXy4xoyxbvMhInI9wcFizYMk2fZ78pfpiBGenV2NqK+KjBRTdjrpcVcoFC3rHrqaulRfj+yyMgCuFTz4+/vD25hhs7iszHzkwWBoObEvBQ9///vfkZSUhE8++QS1tbVITU3FvffeC71ejzLjH9HjJCeb/Whx5KG8XIwieEoe796kUIgdWH19Ra/lyJHOLhERdZdO15Ju2BZMz0rk2UJDRedCaWmnp7VL19qR2lrTyIOrLJYGRABkmrpUWiquiQqFWBfbOkVrX5q2NGnSJDzyyCP46KOP4O/vj1dffRWxsbFobm7GpEmTkJiYiPvuu8+mJ//6668xb948REZGQqFQYM+ePR2eu2LFCigUCmzdutXqx3/22WehUCiwbt06m8pl0moTs4qaGlOFbhc8DB7cPuUoWSciQozwTJ7M9IxE7mzAgJbN4qwlp2cdMYKffyJP5eUl1jJ2sUFarLGnvl3GpbZqa5FtnArkSiMPQKt1DxUVYpqSvPeNPL1fpRKZ5dyc1cHD5MmT8Zvf/AYfffQRDAYDRo8ejd/97nfQaDQ4ffo0XnvtNURHR9v05DU1NUhJScH27ds7PW/37t04evQoIm2YD3v8+HG89tprGGWnlJ9yitao4GDo5AWBer2IKjllqfsUCrGAnO8hkXtTqURngC07qMrpWV0kWwoROUhkZMuC4Q5Y3OvBgqbaWlw0Lph2pZEHwMJGcfLUJfk1eXt7xEZxVgcP69evh16vx5YtW1BdXY25c+fi8ccfR3NzM9RqNaZMmYLHHnvMpiefM2cOfv/732PhwoUdnnPt2jWsXr0aO3fuhLrVSEBnqqursWTJErz++usY0NMdT43k9Q6cskRE1IHw8JZ1YNYoKhKBA9OzEnm2sDCxaVwn09ytnbaUc/06mpqb4evri4EDB9q1mD1lcZdpwDx4qKqyfW2Yi7E6ePg//+f/4IUXXkBmZia0Wi3Wrl2L0tJS6PV6pKSkYOrUqdi0aZNdC2cwGLB06VI8/PDDSEpKsvr3Vq5ciblz52LGjBlWnd/Q0IDKykqzW1umxdJtg4f4eE5ZIiICRBCgUlkXQMjpWV1s2gEROYBKJdpLnUzZsWrBdGOjabF0QkIClC6WndEUPNTWWt7rQR596WQExh10+12/+eabsX37dvj4+CAjIwP33Xcfiqzc3MNazz33HFQqFdasWWP17+zatQunTp3Cli1brP6dLVu2ICAgwHSzNP2q3WJpvV6kILNxqhYRkcfS6axf9yCnZ3WxnkMicpCBA0WHQWOjxbvljeLyS0tR38E5qK1FljF4cLUpS0BL8FBcWytep6W9HvR6t8+41K3g4c9//jOC5WgKQEREBG6//Xa8+uqrdivYyZMn8dJLL+Htt982pYXtypUrV7B27Vrs3LkTPjbs3rdx40ZUVFSYbleuXDG732AwmNY8mNK0lpVxyhIRUWu+vqKnrat1D0zPStT3hIeLqUvXr1u8O8jfH37GtluHez3U1rpkmlaZ2chDY6PlaUsNDX0zeFi8eLFpd+lz584h1gEp9g4ePIiioiLExMRApVJBpVLh8uXLePDBBxHXdpM2o5MnT6KoqAhjx441/c6BAwewbds2qFQqNDc3W/w9jUYDrVZrdmvtvwUFqKmvh0atRoK8aFuesmTM6UtERBBpl7v6YmR6VqK+R60Wm8NWVlq8RrTe6+FyRzNZ6upcMk2rzGyXaUsjD/JGcW6erlXV0wewNcOStZYuXdpuzcKsWbOwdOlSLF++3OLvTJ8+Hd99953ZseXLl2P48OF49NFH4dXNHi55vUNybCxUXl5iyMnLi1OWiIja0unElE6DoePd4svKgPR0pmcl6muSkoD8fOC778R6pzbXiLjQUPyQm9vxuofmZmTn5QFw8ZGH6mrzkYeyMrHfg8rY7HbzkQergoddu3bh9ttvt+oBr1y5gtzcXEyePLnLc6urq3HhwgXTzzk5OThz5gx0Oh1iYmIQFBRkdr5arUZ4eLhZtDl9+nQsXLgQq1atgr+/P5LbbOzm5+eHoKCgdsdt8a2caUnuJZM3/wgP7/ZjEhF5JJ0O8PMDamrE+oe2KiqYnpWor1KpgNRUMY3n2rV2nbCxnS2aNhhQ3diIPON9rhg8hBhHGooqKiA1NEAxcKB4zU1NYrqWMaNUR+s+3IVV05ZeffVVJCYm4g9/+AN+/PHHdvdXVFTgs88+wy9/+UuMHTsW1zuYz9bWiRMnMGbMGIwZMwYAsGHDBowZMwZPPPGE1S/g4sWLKJGHgxzElGlJXu9QUQEkJHDKEhFRW1otEBDQ8boHpmcl6tsCAkQA0dTULvtSpxmX6uqQbTw/JCTEbqn47UkOHvRNTaioqREjK20zLnkAq0YeDhw4gI8++ggvv/wyNm7cCD8/P4SFhcHHxwdlZWUoKChAcHAw7rjjDnz//fcIkyOrLqSnp0OyIdftJWMjvqtjrX311VdWP35HzDItNTaKKUtRUT1+XCIij6NQiOujcWqBGaZnJSJAdCCMHQtkZorpi8Z9vDpd81Bbi+zycgCuOeoAAL6+vvD390dVVRWKqqsRCIh1DwUFfS94AID58+dj/vz5KCkpwaFDh3D58mXU1dUhODjYNHrgavl27aGythY5xq3SR8XFiSlLwcGcskRE1JGQEMubIDE9KxEBopNh/HigsBC4fBkYMgRAFxvF1dYiyzjy4IqLpWWhoaGm4GGoJLXPuOQBbF4wHRwcjAULFjigKK7pe2OK1oFBQQjSasVCn+RkU5RMRERt6HSAj49YFCgvipbTsyYmMj0rEYlrxOTJYi1AUREQGmoaecgrLUWDXg9N67ZWQwOyS0sBuO7IAyCCh4sXL6Kork5MzfLAaUueN1RgZ+2mLKlUnLJERNSZAQPabxYnp2ftINU2EfVB4eHAjTeKtaR1dQjWauHr7Q1JknDFQk991tWrAFx/5AFotddD23StHsDm4GHAgAHQ6XTtbkFBQRg4cCDS0tLw1ltvOaKsTmFaLM0pS0RE1lGpxAaarRdNl5WJTeGYnpWIWktKErfLl6GQJNPUpcutg4eGBkhqNbKNbTJXH3kAIEYeLG0U5wFsDh6eeOIJKJVKzJ07F0899RSeeuopzJ07F0qlEitXrsTQoUNx//334/XXX3dEeXudKU1rXJzICjBkCKcsERF1JTxc7IkDMD0rEXXMy0tkX4qIAK5ebcm4ZFxvCgCorUVhUxOqqquhVCoR78LXEjl4KK6rE7tJe+C0JZvXPBw6dAi///3vsWLFCrPjr732Gv7973/jX//6F0aNGoVt27bhnnvusVtBncFgMOA745qHlIEDRcotTlkiIuqaTidGIPR6MZ951CimZyUiy7RaYNIk4NNPERcYCKDNoum6OmQZRzLj4uKg0WicUEjrmE1b0utbpi1VVbn9ztIym0ce9u3b127nZ0Bs1rZv3z4AwC233IL//ve/PS+dk126fh3VdXXQqNUY6uvLKUtERNbS6cS6h+vXRceLC08zICIXMGgQMHYsYo17aJkFD7W1yK6pAeDaU5YAC7tM+/m1TNf0kNEHm4MHnU6Hjz/+uN3xjz/+GDpjr1JNTQ38Le0s6mZ+uHYNAJAUEwNVdbWYsqSyebCGiKjvkTtcrl4FYmKYnpWIOmdM3xqXmAigzV4PBgOyjD+78mJpoNUu05WVItuSOCj+9ZB1Dza3hB9//HHcf//92L9/P2644QYAwPHjx/HZZ59hx44dAICMjAykpaXZt6RO8L1xVf+o6GixzoFTloiIrBcVBZw/z/SsRGQdjQZxM2YAf/oTLhUUiGPNzYBCgWxjh67bjDyUlYmACBAdKbm5YuTBz8+JpbMPm4OHe+65ByNGjMArr7yCDz74AICIAg8cOIBJkyYBAB588EH7ltJJvjdW1FEhIeIPb+XO2UREBCAoSExFYHpWIrJS3NixAIBrZWVorKyEt1IJ+Pkh27gG1dVHHuTg4Xp5OZqam6Fqu1FcbKwTS2cf3ZqDM3nyZEyePNneZXE58rSlFJ1OzNfllCUiIuvFxIjheqZnJSIrhYaGwsfHB/X19bj63XcYHB8Pvbc3Lhr33XL1kYegoCAoFApIkoTrjY0Ia2ryuL0eutUabm5uxp49e/Djjz8CAJKSkjB//nx4ediwdI7xjzyK83WJiGxn7DEkIrKWQqFAbGwssrKycNnLC4OvXsWl2Fg0NTXB19cXA128PaZSqRAUFISSkhIUNTQgrHW61r665uHChQu45ZZbcO3aNdPQ0ZYtWxAdHY1PP/3UpXPvdkdkQACCBw0CjMNQREREROQ4cXFxyMrKwqWAAMDfH1mVlQDEqINSaXOun14XGhoqgoe6OpGu1cP2erD5L7BmzRrEx8fjypUrOHXqFE6dOoXc3FwMGjQIa9ascUQZnWpUeDizLBERERH1kjjjOqlLNTXAlCnIbhU8uAPToun6erFRXOtpS5LkxJLZh80t4gMHDuDo0aOmtKyAmN/17LPPeuQ6iJSoKE5ZIiIiIuolpuDh0iUgKQlZ27YBcP3F0jLTLtN6vdjrQd4jrKEBqK11Ysnsw+aRB41GgyrjLn+tVVdXw9u4sYcnGTV8OLMsEREREfWSWGNGosvGDEvZ2dkA3HDkQZ625O0NBASIO8vLnVcwO7E5ePj5z3+Oe++9F8eOHYMkSZAkCUePHsWKFSswf/58R5TRqVJ+9jPmJyciIiLqJWYjD3Dj4KG6WuxTAbRMXeqLwcO2bdsQHx+P1NRU+Pj4wMfHB5MnT8aQIUPw0ksvOaKMTqNWKjE0NdXZxSAiIiLqM+Tg4erVqygrK0NeXh4A9wkezHaZlsmLpj0geLB5zUNgYCA+/PBDnD9/Hj/99BMAIDExEUOGDLF74Zxt+MCBUHO9AxEREVGvCQsLg0ajQUNDA/bv3w9ANMgHDBjg5JJZp90u0603iuuLwYMsISEBCQkJ9iyLy0keMYJTloiIiIh6kVKpRExMDM6fP49///vfANxnsTTQKngoLRXZOvV6j5q2ZFXwsGHDBqsf8E9/+lO3C+NqkseNc3YRiIiIiPqcuLg4nD9/Hvv27QPgPlOWgFbBw/XrYrF0Y2PfG3k4ffq0VQ+mUCh6VBhXkzxxorOLQERERNTntF007Y4jD1VVVagD4NsXgwd5vllfk5yc7OwiEBEREfU5cvAgc6eRh4CAAKjVauj1ehQ3NiLGy6tl2lJFRUsGJjfl+nt8O1GwHCUSERERUa9x5+BBoVC0TF0yGMS0pQEDAKUSMBiA69edXMKeYfBARERERC5F3igOEAuo4+PjnVga25mCB71eLJj28gJ0OnFnQYETS9ZzDB6IiIiIyKW0HnmIi4uDRqNxXmG6QQ4eiuvq2m8UV1jopFLZB4MHIiIiInIpERERUKvVANxrsbTMNPJQVdVyUJ4Oz5EHIiIiIiL7USqVpqlL7rTeQWYKHuRdpiUJCAsDAgLExnFurNubxBEREREROcrgwYNx4cIFDB8+3NlFsVmIcYpSUVkZoFaLdQ+//jVw443AtGlOLl3PMHggIiIiIpezadMmDBo0CLfffruzi2Iz08hDWRmg0YiMS97eTi6VfTB4ICIiIiKXM2nSJEyaNMnZxegWs12m1WoRPHgIrnkgIiIiIrIjU/BQXAz4+jJ4ICIiIiIiy0zBQ1ERJH9/Bg9ERERERGSZvGC6sbERlSoVgwd7+frrrzFv3jxERkZCoVBgz549HZ67YsUKKBQKbN26tdPH3LJlCyZMmAB/f3+EhoZiwYIFyMrKsm/BiYiIiIg60K9fP/Tv3x8AUNTQABgMTi6R/Tg1eKipqUFKSgq2b9/e6Xm7d+/G0aNHERkZ2eVjHjhwACtXrsTRo0eRkZEBvV6PmTNnoqamxl7FJiIiIiLqlGnqkoe1QZ2abWnOnDmYM2dOp+dcu3YNq1evxr59+zB37twuH/Pzzz83+/ntt99GaGgoTp48iSlTpvSovERERERE1ggNDcV///tfFFdXi43hJMnZRbILl07VajAYsHTpUjz88MNISkrq1mNUVFQAAHQ6XYfnNDQ0oKGhwfRzpbwbIBERERFRN5jtMu3tLTaK8wAuvWD6ueeeg0qlwpo1a7r1+waDAevWrcPkyZORnJzc4XlbtmxBQECA6RYdHd3dIhMRERERtewyXVHRslGcB3DZ4OHkyZN46aWX8Pbbb0OhUHTrMVauXInvv/8eu3bt6vS8jRs3oqKiwnS7cuVKt56PiIiIiAhos8u0tzeDB0c7ePAgioqKEBMTA5VKBZVKhcuXL+PBBx9EXFxcl7+/atUqfPLJJ9i/fz+ioqI6PVej0UCr1ZrdiIiIiIi6yxQ8lJQAPj4eEzy47JqHpUuXYsaMGWbHZs2ahaVLl2L58uUd/p4kSVi9ejV2796Nr776CoMGDXJ0UYmIiIiIzLTeKA4BAUBpqZNLZB9ODR6qq6tx4cIF0885OTk4c+YMdDodYmJiEBQUZHa+Wq1GeHg4hg0bZjo2ffp0LFy4EKtWrQIgpiq98847+PDDD+Hv74+CggIAQEBAAHx9fXvhVRERERFRX2cWPGi1HHmwhxMnTmDq1Kmmnzds2AAAWLZsGd5++22rHuPixYsoKSkx/fzqq68CANLT083Oe+utt3DHHXf0qLxERERERNYwCx769/eYjeKcGjykp6dDsiHn7aVLl7o8ZsvjERERERE5ghw8lJSUoFmthpeTy2MvLrtgmoiIiIjIXQUHBwMQHdvX6+s9ZqM4Bg9ERERERHamUqlM63eLa2oAtdojNopj8EBERERE5ACeuMs0gwciIiIiIgcw22Xa29sjFk0zeCAiIiIicgDTyENpqdgozgMweCAiIiIicoB2G8V5AAYPREREREQOYBY8BAY6tzB2wuCBiIiIiMgBzIKHfv0AlVO3WLMLBg9ERERERA5gFjz4+gIajZNL1HMMHoiIiIiIHKBd8KBWO7lEPcfggYiIiIjIAcyCBx8fjjwQEREREZFlcvBQWVmJBqWSIw9ERERERGRZYGAgVMZF0sVVVRx5ICIiIiIiyxQKRcvUpbIykXHJzTF4ICIiIiJykJCQEADGdQ/+/k4uTc8xeCAiIiIichCzRdODBgFBQU4uUc+4/04VREREREQuyix4SEhwcml6jiMPREREREQOYhY8eAAGD0REREREDsLggYiIiIiIrMLggYiIiIiIrMLggYiIiIiIrMLggYiIiIiIrNI6eJAkycml6TkGD0REREREDiJvEtfQ0IDq6monl6bnGDwQERERETmIn58f+vXrB8Azpi4xeCAiIiIiciBPWvfA4IGIiIiIyIEYPBARERERkVUYPBARERERkVUYPBARERERkVUYPBARERERkVUYPBARERERkVUYPBARERERkVUYPNjJ119/jXnz5iEyMhIKhQJ79uzp8NwVK1ZAoVBg69atXT7u9u3bERcXBx8fH0ycOBHffPON/QpNRERERGQDOXgoLi52ckl6zqnBQ01NDVJSUrB9+/ZOz9u9ezeOHj2KyMjILh/zn//8JzZs2IBNmzbh1KlTSElJwaxZszwi0iMiIiIi9xMSEgJABA8Gg8HJpekZpwYPc+bMwe9//3ssXLiww3OuXbuG1atXY+fOnVCr1V0+5p/+9Cfcc889WL58OUaMGIEdO3agX79+ePPNN+1ZdCIiIiIiqwQHBwMADAYDSktLnVyannHpNQ8GgwFLly7Fww8/jKSkpC7Pb2xsxMmTJzFjxgzTMaVSiRkzZiAzM7PD32toaEBlZaXZjYiIiIjIHry9vTFgwAAA7r/uwaWDh+eeew4qlQpr1qyx6vySkhI0NzcjLCzM7HhYWBgKCgo6/L0tW7YgICDAdIuOju5RuYmIiIiIWvOURdMuGzycPHkSL730Et5++20oFAqHPtfGjRtRUVFhul25csWhz0dEREREfQuDBwc7ePAgioqKEBMTA5VKBZVKhcuXL+PBBx9EXFycxd8JDg6Gl5cXCgsLzY4XFhYiPDy8w+fSaDTQarVmNyIiIiIie2Hw4GBLly7F2bNncebMGdMtMjISDz/8MPbt22fxd7y9vTFu3Dh88cUXpmMGgwFffPEFUlNTe6voRERERERmPCV4UDnzyaurq3HhwgXTzzk5OThz5gx0Oh1iYmIQFBRkdr5arUZ4eDiGDRtmOjZ9+nQsXLgQq1atAgBs2LABy5Ytw/jx43HDDTdg69atqKmpwfLly3vnRRERERERtfHAAw9g0aJFZu1Yd+TU4OHEiROYOnWq6ecNGzYAAJYtW4a3337bqse4ePEiSkpKTD//4he/QHFxMZ544gkUFBRg9OjR+Pzzz9stoiYiIiIi6i3JyclITk52djF6TCFJkuTsQriayspKBAQEoKKigusfiIiIiMhj9LSd67JrHoiIiIiIyLUweCAiIiIiIqsweCAiIiIiIqsweCAiIiIiIqsweCAiIiIiIqsweCAiIiIiIqs4dZ8HVyVnr62srHRySYiIiIiI7Edu33Z3twYGDxZUVVUBAKKjo51cEiIiIiIi+6uqqkJAQIDNv8dN4iwwGAzIy8uDv78/FAqFs4tjprKyEtHR0bhy5Qo3sOvDWA9IxrpAAOsBCawHBHRdDyRJQlVVFSIjI6FU2r6CgSMPFiiVSkRFRTm7GJ3SarW8MBDrAZmwLhDAekAC6wEBndeD7ow4yLhgmoiIiIiIrMLggYiIiIiIrMLgwc1oNBps2rQJGo3G2UUhJ2I9IBnrAgGsBySwHhDg+HrABdNERERERGQVjjwQEREREZFVGDwQEREREZFVGDwQEREREZFVGDwQEREREZFVGDy4oGeffRYKhQLr1q0DAJSWlmL16tUYNmwYfH19ERMTgzVr1qCiosLs93JzczF37lz069cPoaGhePjhh9HU1OSEV0D20LYeAMB9992H+Ph4+Pr6IiQkBLfeeit++ukns99jPfAsluqBTJIkzJkzBwqFAnv27DG7j/XA81iqC+np6VAoFGa3FStWmP0e64Jn6eiakJmZiWnTpsHPzw9arRZTpkxBXV2d6f7S0lIsWbIEWq0WgYGBuOuuu1BdXd3LpSd7aVsPLl261O5aIN/ee+890+/Z43rAHaZdzPHjx/Haa69h1KhRpmN5eXnIy8vD888/jxEjRuDy5ctYsWIF8vLy8P777wMAmpubMXfuXISHh+PIkSPIz8/Hr3/9a6jVajzzzDPOejnUTZbqAQCMGzcOS5YsQUxMDEpLS/Hkk09i5syZyMnJgZeXF+uBh+moHsi2bt0KhULR7jjrgefprC7cc8892Lx5s+nnfv36mf7PuuBZOqoHmZmZmD17NjZu3IiXX34ZKpUK3377LZTKlj7iJUuWID8/HxkZGdDr9Vi+fDnuvfdevPPOO739MqiHLNWD6Oho5Ofnm533l7/8BX/84x8xZ84cAHa8HkjkMqqqqqSEhAQpIyNDSktLk9auXdvhue+++67k7e0t6fV6SZIk6bPPPpOUSqVUUFBgOufVV1+VtFqt1NDQ4Oiikx3ZUg++/fZbCYB04cIFSZJYDzxJV/Xg9OnT0sCBA6X8/HwJgLR7927TfawHnqWzutDVNYJ1wXN0Vg8mTpwoPfbYYx3+7rlz5yQA0vHjx03H9u7dKykUCunatWuOLDbZmS1thNGjR0t33nmn6Wd7XQ84bcmFrFy5EnPnzsWMGTO6PLeiogJarRYqlRg8yszMxMiRIxEWFmY6Z9asWaisrMQPP/zgsDKT/VlbD2pqavDWW29h0KBBiI6OBsB64Ek6qwe1tbX45S9/ie3btyM8PLzd/awHnqWra8LOnTsRHByM5ORkbNy4EbW1tab7WBc8R0f1oKioCMeOHUNoaCgmTZqEsLAwpKWl4dChQ6ZzMjMzERgYiPHjx5uOzZgxA0qlEseOHeu110A9Z20b4eTJkzhz5gzuuusu0zF7XQ84bclF7Nq1C6dOncLx48e7PLekpAT/+7//i3vvvdd0rKCgwKwyADD9XFBQYN/CksNYUw/+/Oc/45FHHkFNTQ2GDRuGjIwMeHt7A2A98BRd1YP169dj0qRJuPXWWy3ez3rgObqqC7/85S8RGxuLyMhInD17Fo8++iiysrLwwQcfAGBd8BSd1YP//ve/AIAnn3wSzz//PEaPHo2//e1vmD59Or7//nskJCSgoKAAoaGhZr+nUqmg0+lYD9yILW3FN954A4mJiZg0aZLpmL2uBwweXMCVK1ewdu1aZGRkwMfHp9NzKysrMXfuXIwYMQJPPvlk7xSQeoW19WDJkiW4+eabkZ+fj+effx633XYbDh8+3GXdIffQVT346KOP8OWXX+L06dNOKB31JmuuCa07kUaOHImIiAhMnz4dFy9eRHx8fG8VlRyoq3pgMBgAiIQay5cvBwCMGTMGX3zxBd58801s2bKlV8tLjmFLW7Gurg7vvPMOHn/8cYeUhdOWXMDJkydRVFSEsWPHQqVSQaVS4cCBA9i2bRtUKhWam5sBAFVVVZg9ezb8/f2xe/duqNVq02OEh4ejsLDQ7HHlny1NayDXY209CAgIQEJCAqZMmYL3338fP/30E3bv3g2A9cATdFUPMjIycPHiRQQGBpruB4BFixYhPT0dAOuBp7D2mtDaxIkTAQAXLlwAwLrgCbqqB3LP8YgRI8x+LzExEbm5uQDE37qoqMjs/qamJpSWlrIeuAlbrgfvv/8+amtr8etf/9rsMex1PeDIgwuYPn06vvvuO7Njy5cvx/Dhw/Hoo4/Cy8sLlZWVmDVrFjQaDT766KN2UWdqaiqefvppFBUVmYYmMzIyoNVq211QyDVZUw/akiQJkiShoaEBAOuBJ+iqHgQHB+O+++4zu3/kyJF48cUXMW/ePACsB56iO9eEM2fOAAAiIiIAsC54gq7qweDBgxEZGYmsrCyzc7Kzs01ZdlJTU1FeXo6TJ09i3LhxAIAvv/wSBoPBFHCSa7PlevDGG29g/vz5CAkJMTvfbteDbiz0pl7QegV9RUWFNHHiRGnkyJHShQsXpPz8fNOtqalJkiRJampqkpKTk6WZM2dKZ86ckT7//HMpJCRE2rhxoxNfBfVU63pw8eJF6ZlnnpFOnDghXb58WTp8+LA0b948SafTSYWFhZIksR54qq4yaqBNtiXWA8/Vui5cuHBB2rx5s3TixAkpJydH+vDDD6XBgwdLU6ZMMZ3PuuCZ2l4TXnzxRUmr1UrvvfeedP78eemxxx6TfHx8TJn4JEmSZs+eLY0ZM0Y6duyYdOjQISkhIUFavHixE0pP9mLpu+H8+fOSQqGQ9u7d2+58e10POPLgBk6dOmXKhjBkyBCz+3JychAXFwcvLy988sknuP/++5Gamgo/Pz8sW7bMLPc3uTcfHx8cPHgQW7duRVlZGcLCwjBlyhQcOXLE1IPAekAA60Ff4e3tjf/85z/YunUrampqEB0djUWLFuGxxx4zncO60DesW7cO9fX1WL9+PUpLS5GSkoKMjAyzdS87d+7EqlWrMH36dCiVSixatAjbtm1zYqnJEd58801ERUVh5syZ7e6z1/VAIUmSZK8CExERERGR5+KCaSIiIiIisgqDByIiIiIisgqDByIiIiIisgqDByIiIiIisgqDByIiIiIisgqDByIiIiIisgqDByIiIiIisgqDByIiIiIisgqDByIiN5eeno5169bZ/XGffPJJhIWFQaFQYM+ePXZ/fCIicj8MHoiI7GDHjh3w9/dHU1OT6Vh1dTXUajXS09PNzv3qq6+gUChw8eLFXi6l9X788Uc89dRTeO2115Cfn485c+YgLi4OW7duddhzbtmyBRMmTIC/vz9CQ0OxYMECZGVlmZ1TX1+PlStXIigoCP3798eiRYtQWFhods6aNWswbtw4aDQajB49ut3z1NfX44477sDIkSOhUqmwYMECq8v43nvvYfjw4fDx8cHIkSPx2Wefmd3/wQcfYObMmQgKCoJCocCZM2esetzS0lIsWbIEWq0WgYGBuOuuu1BdXW2XMhMR2RODByIiO5g6dSqqq6tx4sQJ07GDBw8iPDwcx44dQ319ven4/v37ERMTg/j4eGcU1SpyYHPrrbciPDwcGo3Gbo/d2Nho8fiBAwewcuVKHD16FBkZGdDr9Zg5cyZqampM56xfvx4ff/wx3nvvPRw4cAB5eXn4n//5n3aPdeedd+IXv/iFxedpbm6Gr68v1qxZgxkzZlhd7iNHjmDx4sW46667cPr0aSxYsAALFizA999/bzqnpqYGN910E5577jmrHxcAlixZgh9++AEZGRn45JNP8PXXX+Pee+/tcZmJiOxOIiIiu4iIiJC2bNli+vmRRx6RVq5cKSUmJkr79+83HZ8yZYq0bNkySZIkqbm5WXrmmWekuLg4ycfHRxo1apT03nvvmT3ud999J82ePVvy8/OTQkNDpV/96ldScXGx6f60tDRp7dq1pp8/+eQTSavVSv/4xz8slrOpqUm68847Tc85dOhQaevWrab7N23aJAEwu6WlpbU7Jjt48KB00003ST4+PlJUVJS0evVqqbq62nR/bGystHnzZmnp0qWSv7+/6bV3paioSAIgHThwQJIkSSovL5fUarXZ+/Pjjz9KAKTMzMx2v79p0yYpJSWl0+dYtmyZdOutt1pVnttuu02aO3eu2bGJEydK9913X7tzc3JyJADS6dOnu3zcc+fOSQCk48ePm47t3btXUigU0rVr13pUZiIie+PIAxGRnUydOhX79+83/bx//36kp6cjLS3NdLyurg7Hjh3D1KlTAYipOn/729+wY8cO/PDDD1i/fj1+9atf4cCBAwCA8vJyTJs2DWPGjMGJEyfw+eefo7CwELfddpvFMrzzzjtYvHgxdu7ciSVLllg8x2AwICoqCu+99x7OnTuHJ554Ar/97W/x7rvvAgAeeughvPXWWwCA/Px85Ofn44MPPkBUVBQ2b95sOgaIEYrZs2dj0aJFOHv2LP75z3/i0KFDWLVqldlzPv/880hJScHp06fx+OOPW/V+VlRUAAB0Oh0A4OTJk9Dr9WY978OHD0dMTAwyMzOtesyeyMzMbNfrP2vWrB4/d2ZmJgIDAzF+/HjTsRkzZkCpVOLYsWM9emwiIntTObsARESeYurUqVi3bh2amppQV1eH06dPIy0tDXq9Hjt27AAgGooNDQ2YOnUqGhoa8Mwzz+A///kPUlNTAQCDBw/GoUOH8NprryEtLQ2vvPIKxowZg2eeecb0PG+++Saio6ORnZ2NoUOHmo5v374dv/vd7/Dxxx8jLS2tw3Kq1Wo89dRTpp8HDRqEzMxMvPvuu7jtttvQv39/BAYGAgDCw8NN53l5ecHf39/s2JYtW7BkyRLTgu2EhARs27YNaWlpePXVV+Hj4wMAmDZtGh588EGr30uDwYB169Zh8uTJSE5OBgAUFBTA29vbVDZZWFgYCgoKrH7s7iooKEBYWJjdn7ugoAChoaFmx1QqFXQ6Xa+8LiIiWzB4ICKyk/T0dNTU1OD48eMoKyvD0KFDERISgrS0NCxfvhz19fX46quvMHjwYMTExOCHH35AbW0tbr75ZrPHaWxsxJgxYwAA3377Lfbv34/+/fu3e76LFy+agof3338fRUVFOHz4MCZMmNBlWbdv344333wTubm5qKurQ2Njo8XFxV359ttvcfbsWezcudN0TJIkGAwG5OTkIDExEQDMetWtsXLlSnz//fc4dOiQzWXqqdzcXIwYMcL0829/+1v89re/tctjr1ixAv/4xz9MP7deFE1E5A4YPBAR2cmQIUMQFRWF/fv3o6yszNT7HxkZiejoaBw5cgT79+/HtGnTALQ0HD/99FMMHDjQ7LHkBcrV1dWYN2+exQW4ERERpv+PGTMGp06dwptvvonx48dDoVB0WM5du3bhoYcewgsvvIDU1FT4+/vjj3/8Y7emyFRXV+O+++7DmjVr2t0XExNj+r+fn5/Vj7lq1SrTouGoqCjT8fDwcDQ2NqK8vNxs9KGwsNBsNKSnIiMjzbIkydOmwsPD22V2svW5N2/ejIceesjsWHh4OIqKisyONTU1obS01K6vi4jIHhg8EBHZ0dSpU/HVV1+hrKwMDz/8sOn4lClTsHfvXnzzzTe4//77AQAjRoyARqNBbm5uh9OMxo4di3/961+Ii4uDStXxJTs+Ph4vvPAC0tPT4eXlhVdeeaXDcw8fPoxJkybhgQceMB2zJm2st7c3mpub25Xv3LlzGDJkSJe/3xVJkrB69Wrs3r0bX331FQYNGmR2/7hx46BWq/HFF19g0aJFAICsrCzk5uaapn3Zg0qlsvh6UlNT8cUXX5jtqZGRkWHTc4eGhrabopSamory8nKcPHkS48aNAwB8+eWXMBgMmDhxYvdeBBGRgzB4ICKyo6lTp2LlypXQ6/VmAUFaWhpWrVqFxsZG02Jpf39/PPTQQ1i/fj0MBgNuuukmVFRU4PDhw9BqtVi2bBlWrlyJ119/HYsXL8YjjzwCnU6HCxcuYNeuXfjrX/8KLy8v03MMHTrUtEhbpVJ1uCdDQkIC/va3v2Hfvn0YNGgQ/v73v+P48ePtGuttxcXF4euvv8btt98OjUaD4OBgPProo7jxxhuxatUq3H333fDz88O5c+eQkZHRaQBjycqVK/HOO+/gww8/hL+/v2m+f0BAAHx9fREQEIC77roLGzZsgE6ng1arxerVq5Gamoobb7zR9DgXLlxAdXU1CgoKUFdXZxpFGDFiBLy9vQEA586dQ2NjI0pLS1FVVWU6p7OpW2vXrkVaWhpeeOEFzJ07F7t27cKJEyfwl7/8xXROaWkpcnNzkZeXBwCmfSrCw8M7HEVITEzE7Nmzcc8992DHjh3Q6/VYtWoVbr/9dkRGRprO606ZiYjsztnpnoiIPImconP48OFmxy9duiQBkIYNG2Z23GAwSFu3bpWGDRsmqdVqKSQkRJo1a5YpPakkSVJ2dra0cOFCKTAwUPL19ZWGDx8urVu3TjIYDJIktU/Veu7cOSk0NFTasGGDxTLW19dLd9xxhxQQECAFBgZK999/v/Sb3/zGLK3p7t27pbZfEZmZmdKoUaMkjUZjdt8333wj3XzzzVL//v0lPz8/adSoUdLTTz9tuj82NlZ68cUXu3zv0CYVrHx76623TOfU1dVJDzzwgDRgwACpX79+0sKFC6X8/Hyzx7GUVhaAlJOTY1YmS+d05d1335WGDh0qeXt7S0lJSdKnn35qdv9bb71l8XE3bdrU6eNev35dWrx4sdS/f39Jq9VKy5cvl6qqqszO6W6ZiYjsSSFJktQbQQoREREREbk37vNARERERERWYfBARERERERWYfBARERERERWYfBARERERERWYfBARERERERWYfBARERERERWYfBARERERERWYfBARERERERWYfBARERERERWYfBARERERERWYfBARERERERW+f9pGWriVqj8mwAAAABJRU5ErkJggg==\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(9, 3))\n", "plt.fill_between(torch.arange(T1, T2), p10, p90, color=\"red\", alpha=0.3)\n", "plt.plot(torch.arange(T1, T2), p50, 'r-', label='forecast')\n", "plt.plot(torch.arange(T1, T2), data[T1:], 'k-', label='truth')\n", "plt.title(\"Total weekly ridership (CRPS = {:0.3g})\".format(crps))\n", "plt.ylabel(\"log(# rides)\")\n", "plt.xlabel(\"Week after 2011-01-01\")\n", "plt.xlim(T1, None)\n", "plt.legend(loc=\"best\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Heavy-tailed noise\n", "\n", "Our final univariate model will generalize from Gaussian noise to heavy-tailed [Stable](http://docs.pyro.ai/en/latest/distributions.html#stable) noise. The only difference is the `noise_dist` which now takes two new parameters: `stability` determines tail weight and `skew` determines the relative size of positive versus negative spikes.\n", "\n", "The [Stable distribution](https://en.wikipedia.org/wiki/Stable_distribution) is a natural heavy-tailed generalization of the Normal distribution, but it is difficult to work with due to its intractible density function. Pyro implements auxiliary variable methods for working with Stable distributions. To inform Pyro to use those auxiliary variable methods, we wrap the final line in [poutine.reparam()](http://docs.pyro.ai/en/latest/poutine.html#pyro.poutine.handlers.reparam) effect handler that applies the [StableReparam](http://docs.pyro.ai/en/latest/infer.reparam.html#pyro.infer.reparam.stable.StableReparam) transform to the implicit observe site named \"residual\". You can use Stable distributions for other sites by specifying `config={\"my_site_name\": StableReparam()}`." ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [], "source": [ "class Model3(ForecastingModel):\n", " def model(self, zero_data, covariates):\n", " data_dim = zero_data.size(-1)\n", " feature_dim = covariates.size(-1)\n", " bias = pyro.sample(\"bias\", dist.Normal(0, 10).expand([data_dim]).to_event(1))\n", " weight = pyro.sample(\"weight\", dist.Normal(0, 0.1).expand([feature_dim]).to_event(1))\n", "\n", " drift_scale = pyro.sample(\"drift_scale\", dist.LogNormal(-20, 5).expand([1]).to_event(1))\n", " with self.time_plate:\n", " with poutine.reparam(config={\"drift\": LocScaleReparam()}):\n", " drift = pyro.sample(\"drift\", dist.Normal(zero_data, drift_scale).to_event(1))\n", " motion = drift.cumsum(-2) # A Brownian motion.\n", " \n", " prediction = motion + bias + (weight * covariates).sum(-1, keepdim=True)\n", " assert prediction.shape[-2:] == zero_data.shape\n", "\n", " # The next part of the model creates a likelihood or noise distribution.\n", " # Again we'll be Bayesian and write this as a probabilistic program with\n", " # priors over parameters.\n", " stability = pyro.sample(\"noise_stability\", dist.Uniform(1, 2).expand([1]).to_event(1))\n", " skew = pyro.sample(\"noise_skew\", dist.Uniform(-1, 1).expand([1]).to_event(1))\n", " scale = pyro.sample(\"noise_scale\", dist.LogNormal(-5, 5).expand([1]).to_event(1))\n", " noise_dist = dist.Stable(stability, skew, scale)\n", "\n", " # We need to use a reparameterizer to handle the Stable distribution.\n", " # Note \"residual\" is the name of Pyro's internal sample site in self.predict().\n", " with poutine.reparam(config={\"residual\": StableReparam()}):\n", " self.predict(noise_dist, prediction) " ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "INFO \t step 0 loss = 5.92061e+07\n", "INFO \t step 100 loss = 13.6553\n", "INFO \t step 200 loss = 3.18891\n", "INFO \t step 300 loss = 0.884046\n", "INFO \t step 400 loss = 0.27383\n", "INFO \t step 500 loss = -0.0354842\n", "INFO \t step 600 loss = -0.211247\n", "INFO \t step 700 loss = -0.311198\n", "INFO \t step 800 loss = -0.259799\n", "INFO \t step 900 loss = -0.326406\n", "INFO \t step 1000 loss = -0.306335\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "bias = 14.64\n", "drift_scale = 3.234e-08\n", "noise_stability = 1.937\n", "noise_skew = 0.004095\n", "noise_scale = 0.06038\n", "CPU times: user 19.5 s, sys: 103 ms, total: 19.6 s\n", "Wall time: 19.7 s\n" ] } ], "source": [ "%%time\n", "pyro.set_rng_seed(2)\n", "pyro.clear_param_store()\n", "time = torch.arange(float(T2)) / 365\n", "covariates = periodic_features(T2, 365.25 / 7)\n", "forecaster = Forecaster(Model3(), data[:T1], covariates[:T1], learning_rate=0.1,\n", " time_reparam=\"dct\")\n", "for name, value in forecaster.guide.median().items():\n", " if value.numel() == 1:\n", " print(\"{} = {:0.4g}\".format(name, value.item()))" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "samples = forecaster(data[:T1], covariates, num_samples=1000)\n", "p10, p50, p90 = quantile(samples, (0.1, 0.5, 0.9)).squeeze(-1)\n", "crps = eval_crps(samples, data[T1:])\n", "\n", "plt.figure(figsize=(9, 3))\n", "plt.fill_between(torch.arange(T1, T2), p10, p90, color=\"red\", alpha=0.3)\n", "plt.plot(torch.arange(T1, T2), p50, 'r-', label='forecast')\n", "plt.plot(data, 'k-', label='truth')\n", "plt.title(\"Total weekly ridership (CRPS = {:0.3g})\".format(crps))\n", "plt.ylabel(\"log(# rides)\")\n", "plt.xlabel(\"Week after 2011-01-01\")\n", "plt.xlim(0, None)\n", "plt.legend(loc=\"best\");" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(9, 3))\n", "plt.fill_between(torch.arange(T1, T2), p10, p90, color=\"red\", alpha=0.3)\n", "plt.plot(torch.arange(T1, T2), p50, 'r-', label='forecast')\n", "plt.plot(torch.arange(T1, T2), data[T1:], 'k-', label='truth')\n", "plt.title(\"Total weekly ridership (CRPS = {:0.3g})\".format(crps))\n", "plt.ylabel(\"log(# rides)\")\n", "plt.xlabel(\"Week after 2011-01-01\")\n", "plt.xlim(T1, None)\n", "plt.legend(loc=\"best\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Backtesting\n", "\n", "To compare our Gaussian `Model2` and Stable `Model3` we'll use a simple [backtesting()](http://docs.pyro.ai/en/latest/contrib.forecast.html#pyro.contrib.forecast.evaluate.backtest) helper. This helper by default evaluates three metrics: [CRPS](http://docs.pyro.ai/en/latest/contrib.forecast.html#pyro.contrib.forecast.evaluate.eval_crps) assesses distributional accuracy of heavy-tailed data, [MAE](http://docs.pyro.ai/en/latest/contrib.forecast.html#pyro.contrib.forecast.evaluate.eval_mae) assesses point accuracy of heavy-tailed data, and [RMSE](http://docs.pyro.ai/en/latest/contrib.forecast.html#pyro.contrib.forecast.evaluate.eval_rmse) assesses accuracy of Normal-tailed data. The one nuance here is to set `warm_start=True` to reduce the need for random restarts." ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "INFO \t Training on window [0:104], testing on window [104:156]\n", "INFO \t step 0 loss = 3543.21\n", "INFO \t step 1000 loss = 0.140962\n", "INFO \t Training on window [0:130], testing on window [130:182]\n", "INFO \t step 0 loss = 0.27281\n", "INFO \t step 1000 loss = -0.227765\n", "INFO \t Training on window [0:156], testing on window [156:208]\n", "INFO \t step 0 loss = 0.622017\n", "INFO \t step 1000 loss = -0.0232647\n", "INFO \t Training on window [0:182], testing on window [182:234]\n", "INFO \t step 0 loss = 0.181045\n", "INFO \t step 1000 loss = -0.104492\n", "INFO \t Training on window [0:208], testing on window [208:260]\n", "INFO \t step 0 loss = 0.160061\n", "INFO \t step 1000 loss = -0.184363\n", "INFO \t Training on window [0:234], testing on window [234:286]\n", "INFO \t step 0 loss = 0.0414903\n", "INFO \t step 1000 loss = -0.207943\n", "INFO \t Training on window [0:260], testing on window [260:312]\n", "INFO \t step 0 loss = -0.00223408\n", "INFO \t step 1000 loss = -0.256718\n", "INFO \t Training on window [0:286], testing on window [286:338]\n", "INFO \t step 0 loss = -0.0552213\n", "INFO \t step 1000 loss = -0.277793\n", "INFO \t Training on window [0:312], testing on window [312:364]\n", "INFO \t step 0 loss = -0.141342\n", "INFO \t step 1000 loss = -0.36945\n", "INFO \t Training on window [0:338], testing on window [338:390]\n", "INFO \t step 0 loss = -0.148779\n", "INFO \t step 1000 loss = -0.332914\n", "INFO \t Training on window [0:364], testing on window [364:416]\n", "INFO \t step 0 loss = -0.27899\n", "INFO \t step 1000 loss = -0.462222\n", "INFO \t Training on window [0:390], testing on window [390:442]\n", "INFO \t step 0 loss = -0.328539\n", "INFO \t step 1000 loss = -0.463518\n", "INFO \t Training on window [0:416], testing on window [416:468]\n", "INFO \t step 0 loss = -0.400719\n", "INFO \t step 1000 loss = -0.494253\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "CPU times: user 1min 57s, sys: 502 ms, total: 1min 57s\n", "Wall time: 1min 57s\n" ] } ], "source": [ "%%time\n", "pyro.set_rng_seed(1)\n", "pyro.clear_param_store()\n", "windows2 = backtest(data, covariates, Model2,\n", " min_train_window=104, test_window=52, stride=26,\n", " forecaster_options={\"learning_rate\": 0.1, \"time_reparam\": \"dct\",\n", " \"log_every\": 1000, \"warm_start\": True})" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "INFO \t Training on window [0:104], testing on window [104:156]\n", "INFO \t step 0 loss = 1852.88\n", "INFO \t step 1000 loss = 0.533988\n", "INFO \t Training on window [0:130], testing on window [130:182]\n", "INFO \t step 0 loss = 2.60906\n", "INFO \t step 1000 loss = 0.0715323\n", "INFO \t Training on window [0:156], testing on window [156:208]\n", "INFO \t step 0 loss = 2.60063\n", "INFO \t step 1000 loss = 0.110426\n", "INFO \t Training on window [0:182], testing on window [182:234]\n", "INFO \t step 0 loss = 1.99784\n", "INFO \t step 1000 loss = 0.020393\n", "INFO \t Training on window [0:208], testing on window [208:260]\n", "INFO \t step 0 loss = 1.63004\n", "INFO \t step 1000 loss = -0.0936131\n", "INFO \t Training on window [0:234], testing on window [234:286]\n", "INFO \t step 0 loss = 1.33227\n", "INFO \t step 1000 loss = -0.114948\n", "INFO \t Training on window [0:260], testing on window [260:312]\n", "INFO \t step 0 loss = 1.19163\n", "INFO \t step 1000 loss = -0.193086\n", "INFO \t Training on window [0:286], testing on window [286:338]\n", "INFO \t step 0 loss = 1.01131\n", "INFO \t step 1000 loss = -0.242592\n", "INFO \t Training on window [0:312], testing on window [312:364]\n", "INFO \t step 0 loss = 0.983859\n", "INFO \t step 1000 loss = -0.279851\n", "INFO \t Training on window [0:338], testing on window [338:390]\n", "INFO \t step 0 loss = 0.560554\n", "INFO \t step 1000 loss = -0.209488\n", "INFO \t Training on window [0:364], testing on window [364:416]\n", "INFO \t step 0 loss = 0.716816\n", "INFO \t step 1000 loss = -0.369162\n", "INFO \t Training on window [0:390], testing on window [390:442]\n", "INFO \t step 0 loss = 0.391474\n", "INFO \t step 1000 loss = -0.45527\n", "INFO \t Training on window [0:416], testing on window [416:468]\n", "INFO \t step 0 loss = 0.37326\n", "INFO \t step 1000 loss = -0.508014\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "CPU times: user 4min 1s, sys: 960 ms, total: 4min 2s\n", "Wall time: 4min 2s\n" ] } ], "source": [ "%%time\n", "pyro.set_rng_seed(1)\n", "pyro.clear_param_store()\n", "windows3 = backtest(data, covariates, Model3,\n", " min_train_window=104, test_window=52, stride=26,\n", " forecaster_options={\"learning_rate\": 0.1, \"time_reparam\": \"dct\",\n", " \"log_every\": 1000, \"warm_start\": True})" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(3, figsize=(8, 6), sharex=True)\n", "axes[0].set_title(\"Gaussian versus Stable accuracy over {} windows\".format(len(windows2)))\n", "axes[0].plot([w[\"crps\"] for w in windows2], \"b<\", label=\"Gaussian\")\n", "axes[0].plot([w[\"crps\"] for w in windows3], \"r>\", label=\"Stable\")\n", "axes[0].set_ylabel(\"CRPS\")\n", "axes[1].plot([w[\"mae\"] for w in windows2], \"b<\", label=\"Gaussian\")\n", "axes[1].plot([w[\"mae\"] for w in windows3], \"r>\", label=\"Stable\")\n", "axes[1].set_ylabel(\"MAE\")\n", "axes[2].plot([w[\"rmse\"] for w in windows2], \"b<\", label=\"Gaussian\")\n", "axes[2].plot([w[\"rmse\"] for w in windows3], \"r>\", label=\"Stable\")\n", "axes[2].set_ylabel(\"RMSE\")\n", "axes[0].legend(loc=\"best\")\n", "plt.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note that RMSE is a poor metric for evaluating heavy-tailed data. Our stable model has such heavy tails that its variance is infinite, so we cannot expect RMSE to converge, hence occasional outlying points." ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.7.0" } }, "nbformat": 4, "nbformat_minor": 4 }