{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Multiple Time Series, Pre-trained Models and Covariates\n", "\n", "This notebook serves as a tutorial for:\n", "\n", "* Training a single model on multiple time series\n", "* Using a pre-trained model to obtain forecasts for any time series unseen during training\n", "* Training and using a model using covariates\n", "* Training and using a model using one or several multivariates TimeSeries\n", "\n", "First, some necessary imports:" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "# fix python path if working locally\n", "from utils import fix_pythonpath_if_working_locally\n", "\n", "fix_pythonpath_if_working_locally()\n", "\n", "import logging\n", "\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "import torch\n", "\n", "from darts import concatenate\n", "from darts.dataprocessing.transformers import Scaler\n", "from darts.datasets import AirPassengersDataset, ElectricityDataset, MonthlyMilkDataset\n", "from darts.metrics import mae, mape\n", "from darts.models import (\n", " VARIMA,\n", " BlockRNNModel,\n", " NBEATSModel,\n", " RNNModel,\n", ")\n", "from darts.utils.callbacks import TFMProgressBar\n", "from darts.utils.timeseries_generation import (\n", " datetime_attribute_timeseries,\n", " sine_timeseries,\n", ")\n", "\n", "logging.disable(logging.CRITICAL)\n", "\n", "import warnings\n", "\n", "warnings.filterwarnings(\"ignore\")\n", "\n", "%matplotlib inline\n", "\n", "# for reproducibility\n", "torch.manual_seed(1)\n", "np.random.seed(1)\n", "\n", "\n", "def generate_torch_kwargs():\n", " # run torch models on CPU, and disable progress bars for all model stages except training.\n", " return {\n", " \"pl_trainer_kwargs\": {\n", " \"accelerator\": \"cpu\",\n", " \"callbacks\": [TFMProgressBar(enable_train_bar_only=True)],\n", " }\n", " }" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Read Data\n", "Let's start by reading two time series - one containing the monthly number of air passengers, and another containing the monthly milk production per cow. These time series have not much to do with each other, except that they both have a monthly frequency with a marked yearly periodicity and upward trend, and (completely coincidentaly) they contain values of a comparable order of magnitude." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "series_air = AirPassengersDataset().load()\n", "series_milk = MonthlyMilkDataset().load()\n", "\n", "series_air.plot(label=\"Number of air passengers\")\n", "series_milk.plot(label=\"Pounds of milk produced per cow\")\n", "plt.legend();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Preprocessing\n", "Usually neural networks tend to work better on normalised/standardised data. Here we'll use the `Scaler` class to normalise both of our time series between 0 and 1:" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "scaler_air, scaler_milk = Scaler(), Scaler()\n", "series_air_scaled = scaler_air.fit_transform(series_air)\n", "series_milk_scaled = scaler_milk.fit_transform(series_milk)\n", "\n", "series_air_scaled.plot(label=\"air\")\n", "series_milk_scaled.plot(label=\"milk\")\n", "plt.legend();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Train / Validation split\n", "Let's keep the last 36 months of both series as validation:" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "train_air, val_air = series_air_scaled[:-36], series_air_scaled[-36:]\n", "train_milk, val_milk = series_milk_scaled[:-36], series_milk_scaled[-36:]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Global Forecasting Models\n", "Darts contains many forecasting models, but not all of them can be trained on several time series. The models that support training on multiple series are called *global* models. An exhaustive list of the global models can be found [here](https://unit8co.github.io/darts/README.html#forecasting-models) (bottom of the table) with for example:\n", "\n", "* LinearRegressionModel\n", "* BlockRNNModel\n", "* Temporal Convolutional Networks (TCNModel)\n", "* N-Beats (NBEATSModel)\n", "* TiDEModel\n", "\n", "In the following, we will distinguish two sorts of time series:\n", "\n", "* The **target time series** is the time series we are interested to forecast (given its history)\n", "* A **covariate time series** is a time series which may help in the forecasting of the target series, but that we are not interested in forecasting. It's sometimes also called *external data*.\n", "\n", "**Note**: Static covariates are invariant in time and correspond to additional information associated with the components of the **target time series**. Detailed information about this kind of covariate can be found in the [static covariates notebook](https://unit8co.github.io/darts/examples/15-static-covariates.html).\n", "\n", "We further differentiate covariates series, depending on whether they can be known in advance or not:\n", "\n", "* **Past Covariates** denote time series whose past values are known at prediction time. These are usually things that have to be measured or observed.\n", "* **Future Covariates** denote time series whose future values are already known at prediction time for the span of the forecast horizon. These can for instance represent known future holidays, or weather forecasts. \n", "\n", "Some models use only past covariates, others use only future covariates, and some models might use both. We will dive deeper in this topic in some other notebook, but this [table](https://unit8co.github.io/darts/README.html#forecasting-models) details the covariates supported by each model.\n", "\n", "All of the global models listed above support training on multiple series. In addition, they also all support *multivariate series*. This means that they can seamlessly be used with time series of more than one dimension; the target series can contain one (as is often the case) or several dimensions. A time series with several dimensions is really just a regular time series where the values at each time stamps are vectors instead of scalars.\n", "\n", "As an example, the BlockRNNModel, N-Beats, TCN and Transformer models follow a \"block\" architecture. They contain a neural network that takes chunks of time series in input, and outputs chunks of (predicted) future time series values. The input dimensionality is the number of dimensions (components) of the target series, plus the number of components of all the covariates - stacked together. The output dimensionality is simply the number of dimensions of the target series:\n", "![image1](static/images/global_io_covs.png)\n", "\n", "The `RNNModel` works differently, in a recurrent fashion (which is also why they support future covariates).\n", "The good news is that as a user, we don't have to worry too much about the different model types and input/output dimensionalities. The dimensionalities are automatically inferred for us by the model based on the training data, and the support for past or future covariates is simply handled by the `past_covariates` or `future_covariates` arguments. \n", "\n", "We'll still have to specify two important parameters when building our models:\n", "\n", "* `input_chunk_length`: this is the length of the lookback window of the model; so each output will be computed by the model by reading the previous `input_chunk_length` points.\n", "* `output_chunk_length`: this is the length of the outputs (forecasts) produced by the internal model. However, the `predict()` method of the \"outer\" Darts model (e.g., the one of `NBEATSModel`, `TCNModel`, etc) can be called for a longer time horizon. In these cases, if `predict()` is called for a horizon longer than `output_chunk_length`, the internal model will simply be called repeatedly, feeding on its own previous outputs in an auto-regressive fashion. If `past_covariates` are used it requires these covariates to be known for long enough in advance.\n", "\n", "### Example with one Series\n", "Let's look at a first example. We'll build an N-BEATS model that has a lookback window of 24 points (`input_chunk_length=24`) and predicts the next 12 points (`output_chunk_length=12`). We chose these values so it'll make our model produce successive predictions for one year at a time, looking at the past two years." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "model_air = NBEATSModel(\n", " input_chunk_length=24,\n", " output_chunk_length=12,\n", " n_epochs=200,\n", " random_state=0,\n", " **generate_torch_kwargs(),\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This model can be used like any other Darts forecasting model, beeing fit on a single time series:" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "f13ab7bf59874aaba64679b11697e3a8", "version_major": 2, "version_minor": 0 }, "text/plain": [ "Training: 0it [00:00, ?it/s]" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "NBEATSModel(generic_architecture=True, num_stacks=30, num_blocks=1, num_layers=4, layer_widths=256, expansion_coefficient_dim=5, trend_polynomial_degree=2, dropout=0.0, activation=ReLU, input_chunk_length=24, output_chunk_length=12, n_epochs=200, random_state=0, pl_trainer_kwargs={'accelerator': 'cpu', 'callbacks': []})" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "model_air.fit(train_air)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And like any other Darts forecasting models, we can then get a forecast by calling `predict()`. Note that below, we are calling `predict()` with a horizon of 36, which is longer than the model internal `output_chunk_length` of 12. That's not a problem here - as explained above, in such a case the internal model will simply be called auto-regressively on its own outputs. In this case, it will be called three times so that the three 12-points outputs make up the final 36-points forecast - but all of this is done transparently behind the scenes." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "MAPE = 8.02%\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pred = model_air.predict(n=36)\n", "\n", "series_air_scaled.plot(label=\"actual\")\n", "pred.plot(label=\"forecast\")\n", "plt.legend()\n", "print(f\"MAPE = {mape(series_air_scaled, pred):.2f}%\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Training Process (behind the scenes)\n", "So what happened when we called `model_air.fit()` above?\n", "\n", "In order to train the internal neural network, Darts first makes a dataset of inputs/outputs examples from the provided time series (in this case: `series_air_scaled`). There are several ways this can be done and Darts contains a few different dataset implementations in the `darts.utils.data` package. \n", "\n", "By default, `NBEATSModel` will instantiate a `darts.utils.data.SequentialTorchTrainingDataset`, which simply builds all the consecutive pairs of input/output sub-sequences (of lengths `input_chunk_length` and `output_chunk_length`) existing in the series).\n", "\n", "For an example series of length 14, with `input_chunk_length=4` and `output_chunk_length=2`, it looks as follows:\n", "![image2](static/images/seq_dataset_one_ts.png)\n", "\n", "For such a dataset, a series of length `N` would result in a \"training set\" of `N - input_chunk_length - output_chunk_length + 1` samples. In the toy example above, we have `N=14`, `input_chunk_length=4` and `output_chunk_length=2`, so the number of samples used for training would be K = 9. In this context, a training *epoch* consists in complete pass (possibly consisting of several mini-batches) over all the samples.\n", "\n", "Note that different models are susceptible to use different datasets by default. For instance, `darts.utils.data.HorizonBasedTorchTrainingDataset` is inspired by the [N-BEATS paper](https://arxiv.org/abs/1905.10437) and produces samples that are \"close\" to the end of the series, possibly even ignoring the beginning of the series.\n", "\n", "If you have the need to control the way training samples are produced from `TimeSeries` instances, you can implement your own training dataset by inheriting the abstract `darts.utils.data.TorchTrainingDataset` class. Darts datasets are inheriting from torch `Dataset`, which means it's easy to implement lazy versions that do not load all data in memory at once. Once you have your own instance of a dataset, you can directly call the `fit_from_dataset()` method, which is supported by all global forecasting models.\n", "\n", "## Training a Model on Multiple Time Series\n", "All this machinery can be seamlessly used with multiple time series. Here's how a sequential dataset with `input_chunk_length=4` and `output_chunk_length=2` looks for two series of lengths N and M:\n", "\n", "![image3](static/images/seq_dataset_multi_ts.png)\n", "\n", "Note a few things here:\n", "\n", "* The different series do not need to have the same length, or even to share the same time stamps.\n", "* In fact, they don't even need to have the same frequency.\n", "* The total number of samples in the training dataset will be the union of all the training samples contained in each series; so a training epoch will now span all samples from all series.\n", "\n", "\n", "### Training on Both Air Traffic and Milk Series\n", "Let's look at another example where we fit another model instance on our two time series (air passengers and milk production). Since using two series of (roughly) the same length (roughly) doubles the training dataset size, we will use half of the number of epochs:" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "model_air_milk = NBEATSModel(\n", " input_chunk_length=24,\n", " output_chunk_length=12,\n", " n_epochs=100,\n", " random_state=0,\n", " **generate_torch_kwargs(),\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Then, fitting the model on two (or more) series is as simple as giving a list of series (instead of a single series) in argument to the `fit()` function:" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "4d958219d6ba4fec91343c20b80482a5", "version_major": 2, "version_minor": 0 }, "text/plain": [ "Training: 0it [00:00, ?it/s]" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "NBEATSModel(generic_architecture=True, num_stacks=30, num_blocks=1, num_layers=4, layer_widths=256, expansion_coefficient_dim=5, trend_polynomial_degree=2, dropout=0.0, activation=ReLU, input_chunk_length=24, output_chunk_length=12, n_epochs=100, random_state=0, pl_trainer_kwargs={'accelerator': 'cpu', 'callbacks': []})" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "model_air_milk.fit([train_air, train_milk])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Producing Forecasts After the End of a Series" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now, importantly, when computing the forecasts we have to specify which time series we want to forecast the future for.\n", "\n", "We didn't have this constraint earlier. When fitting models on one series only, the model remembers this series internally, and if `predict()` is called without the `series` argument, it returns a forecast for the (unique) training series. This does not work anymore as soon as a model is fit on more than one series - in this case the `series` argument of `predict()` becomes mandatory.\n", "\n", "So, let's say we want to predict future of air traffic. In this case we specify `series=train_air` to the `predict()` function in order to say we want to get a forecast for what comes after `train_air`:" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "MAPE = 7.58%\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pred = model_air_milk.predict(n=36, series=train_air)\n", "\n", "series_air_scaled.plot(label=\"actual\")\n", "pred.plot(label=\"forecast\")\n", "plt.legend()\n", "print(f\"MAPE = {mape(series_air_scaled, pred):.2f}%\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Wait... does this mean that milk production helps to predict air traffic??\n", "Well, in this particular instance with this model, it seems to be the case (at least in terms of MAPE error). This is not so weird if you think about it, though. Air traffic is heavily characterized by the yearly seasonality and upward trend. The milk series exhibits these two traits as well, and in this case it's probably helping the model to capture them.\n", "\n", "Note that this points towards the possibility of *pre-training* forecasting models; training models once and for all and later using them to forecast series that are not in the train set.\n", "With our toy model we can really forecast the future values of any other series, even series never seen during training. For the sake of example, let's say we want to forecast the future of some arbitrary sine wave series:" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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MmACDwYDVq1cD8C5MvGnTJhQXF+N3v/sdhg8fjnnz5sHhcISMbARDp9Nh7dq1mDBhAubNm4fBgwfjuuuuw6FDh9C7d28YDAYcP34cv/nNbzB48GDMmjULU6dOFRQ663Q6QVF0JLDt79+/P6666iqccsopAe1/7bXX0NzcjDPOOAM33HAD7rzzTsGDQaTcdNNNcDqd8s+kL+kAbg0Q63wJV111FTd/RU1NDff67t27uddvvPFGkVsrPnz9//3vf7m2P/zww9w+Bw4c4F6/7rrrZGxt9Dz//PNc2//5z38K3jvvvPO49zo7O2VqYfS8/PLLXLuXL18ueG/8+PHce3a7PexxlDRPyj/+8Q+u3cuWLRO8N2nSJO695uZm0c6pJP2JRm3aPR4PM3jwYGbp0qWiHE9u/QcPHmSMRiOzf/9+Wc4fif6vv/6aMRqNTH19fQJbFghFYiRC61ELrWsChFEMNemKJGrhv5/S4bfV/6lRrZoIcWhoaMBf//pXHDlyBHPnzpW7OaKwfv163HLLLYoc6dnV1YUDBw5g0aJFmDVrFnr37i1re6iwVyLYHH5GRgbMZjP3em5uLvR6PTwej+pqLULVJWRkZHCjAtSmKdToJCCw1qdfv34Ja1c8hNPE/3dTU5Nqhvjzv1c9aVLijZ+Qjt69eyM/Px//+Mc/uDo2tXPbbbfJ3YSQ/Otf/8JNN92EkSNH4o033pC7OWRipCLYUGTAWxCVn5+PhoYG1XX44Yore/XqhdraWtVpChe1UGvBMkViiGSCoTqohMKO6lIKlE6SgO7ubm4xwWCLgvGLK9X0A4y0uJI/h4PS0XqHrxVNkUZi1KSJIIj4IRMjAfxwfrCqb/Y1h8MBm82WsHbFS6hIDP/fbrc7YDVoJcN2eunp6QHDDPmdoxojMSkpKcjKyhK8p9YOn/37a0kTQRDxQyZGAsKFvgH13nTZthqNxoD1kdSuKVzEjL+fGmDbmp+fz02bzqJ2Tb169dKMJoIg4odMjASEC30D6q21YNtaUFAQ0JGoUZPb7ebWGPKfTwVQpyaGNxtvME1q7PD5mrRkNgmCiB8yMRIQLu0CqDNNwfDWTeqpI1GLphMnTnA1SVrR1N7ezq2BopUOv6WlBS6XC4C2IpsEQcQPmRgJCFdYCQhvxGq56ba1taG7uxtA+DofQD2aerpOeXl5XMRJS5qC7atkeops5uTkcOvbqEUTQRDiQCZGAnqKxKgxTaFFTeHmUwG8tT9qWz+pJ02pqanc9ONqWdiypxozvV7PmTO1aEomGIbBLbfcwi1A+v3338vdJEJDkImRgJ6ehtUY/k5GTYB3ckL/fZVMJJrUtn5ST5EY/utq0ZRMrF+/HitXrsRHH32Euro6jBgxQu4mxURpaSmee+45uZtB+EEmRgK0GLXQoqZIOnz2Cd9ms8FutyekXfEQjYlpbm7mUoRKpqfvHuDTZLfbVXGdkonKykr06dMH5557LgoLC2E0RjfHKsMwXE0UQfhDJkYCwq0iDGgzaqFFTYAvEuO/v1KJxsQA4EZnKZme0kmAOr9/ycCcOXPw//7f/0NNTQ10Oh1KS0vR1dXFrZxsNptx3nnnYdu2bdxnvvrqK+h0OnzyyScYM2YMUlNTsXnzZjAMg6eeegplZWWwWCw4/fTT8e677wrOt3v3blx66aXIzMxERkYGxo8fj8rKSgDAtm3bMHnyZOTn5yMrKwvnn38+du7cKfj8kiVL0L9/f1gsFpxzzjm46667AAATJ05EdXU17rnnHuh0uoDRmYR8kImRAPbJMTs7GyaTKeD97Oxs7mlEjVGLYB1Jeno60tLSAKhTU0+RGEAduqI1MWro8KNJJwHq0JQsPP/883j44YfRr18/1NXVYdu2bXjggQfwn//8B6+//jp27tyJ8vJyXHLJJThx4oTgsw888AAef/xx/PLLLzjttNPw5z//GStWrMDf//537N69G/fccw+uv/56bNy4EQBw5MgRTJgwAWazGRs2bMCOHTswb948LorT3t6OG2+8EZs3b8a3336LQYMGYdq0aWhvbwcAvPvuu3j22WexbNky7Nu3D8uWLeNSX++99x769euHhx9+GHV1dairq0vgX5EIB62dJAGh1k1i0ev1yM/PR319vSo6RiDyjqS6ulo1mnqKmAHCSIwadEWiSW0dPkViQjPmZg/qT/S8X9QwgNtdBIMBgE64jEhhLrB9eWTPv1lZWcjIyIDBYEBhYSFsNhv+/ve/Y+XKlZg6dSoAYPny5fjss8/w6quv4v777+c++/DDD2Py5MkAvOncv/71r9iwYQPGjh0LACgrK8PXX3+NZcuW4fzzz8eLL76IrKwsrF69GikpKQCAwYMHc8e78MILBW1btmwZcnJysHHjRlx22WWoqalBYWEhJk2aBIPBAIZhUFJSAsB7HzAYDMjIyEBhYWEUf0hCasjEiExXVxfa2toAhO7sAe/NuL6+nls/SenhyUg6kl69eqG6uhrHjx+H2+2GwWBIVPNiItpIjBo6R4rEqEOTWNSfAI5IJlf87qGyshLd3d0YN24c91pKSgrOOuss/PLLL4J9x4wZw23v2bMHnZ2dnKlhcTqdOOOMMwAA33//PcaPH88ZGH8aGhqwePFibNiwAceOHYPb7YbdbkdNTQ0AYObMmXjuuedQVlaGSy65BGPGjMG8efOCRtMJ5UAmRmQi6ez57zmdTrS1tQWsB6M0IjUxgLcQ7/jx42H1KwH+GkPssGN/1JpO0ul0grbz4Udo1NDhs200m82wWq1B91GbJrEozO15n5hgALfbBYPBCPg9X8VzTnZySf+HtmAPcunp6dw2u6jsxx9/jKKiIsF+qampABCw9pk/c+bMQWNjI5577jmUlJQgNTUVY8eO5SaHLC4uxr59+/DZZ5/hs88+w+LFi/HPf/4TGzduDGmMCPkhEyMykZoY/ydHtZgYk8mEjIyMoPv4a1K6iWHnFAm2jAKL2iIxrCY2/B0M/nVSw7wq/PRsqOukNk1iEWlaJ1o8Hg+qq4+gpKSEm0hQDMrLy2EymfD111/j17/+NQCgu7sb27dvx9133x3yc8OGDUNqaipqampw/vnnB93ntNNOw+uvv47u7u6gpmPz5s146aWXMG3aNABAbW1twHfFYrHg8ssvx2WXXYYrrrgCkyZNwk8//YRRo0bBZDLB7XbHqJyQCirsFZlIQt+A+oYkR9KRqElTT+vxsKg1EhNOk5pSLx6PR2A2Q6EmTclMeno6fvvb3+L+++/H+vXrsWfPHtx8882w2+246aabQn4uIyMDv//973HPPffg9ddfR2VlJXbt2oUXX3wRr7/+OgDgjjvuQFtbG6677jps374dFRUVeOONN7Bv3z4AXgP1xhtv4JdffsF3332H2bNnC6I3K1euxKuvvoqff/4ZVVVVeP/992GxWLi6mNLSUmzatAlHjhxJKqOsdMjEiEyskRglo8WOhL+MQjhNahpi3dnZiY6ODgDauU4nTpzgUgla+T0lO0888QSuvvpq3HDDDRg1ahQOHDiATz75hJsdOxSPPPIIFi9ejMcffxynnHIKLrnkEqxZswYDBgwA4H3g2LBhAzo6OnD++edj9OjRWL58OReVee2119Dc3IwzzjgDN9xwAzfMmyU7OxvLly/HuHHjMHLkSHzzzTf48MMPuQeZhx9+GIcOHcLAgQPD/r6IxELpJJHRYiSmra0t7AJ8LGrSFEkBLOC9sen1eng8Hs1oUlOHH+nvKVlrYtTA3XffLUgVmc1mvPDCC3jhhReC7j9x4kSudoaPTqfDnXfeiTvvvDPkuU477TR88sknQd8744wzBPPRAMA111zDbV9xxRW44oorALDptGouCgMA55xzDn744YeQ5ybkgSIxIhPJ7KKAulZI5k+IFmnnqHRNkQxFBnzD4QHtaEpPT+fC6Erv8CONbKakpCA7OzvgMwRBaBsyMSIT6dOwmlZ95puYSCMxStcU6XUCfLrY4fBKJRpNallrKNJIDP99pWsiCEI8yMSITKSRGDWlXiKNxKhJUywmhl9zokRiMTHHjx/nak6USKSRGMCnqbW1lRs2SxCEtpHMxDQ3N+Ouu+7CuHHjcNVVV2Hr1q1B95s1axbGjx/P/XfmmWfizTffBABs374dZ555puD9Xbt2SdVkUYhkng5AXXUJ/OnAtVJcGU2Hr5Z6i1hMjNvtRnNzs6TtiodIHwqA5B1mTRDJjGSFvU8++SQKCgrwxRdf4Ntvv8WCBQvwwQcfBEwq9s4773DbLS0tmDp1qmAegP79++M///mPVM0UHfamm5ubG3a11szMTJhMJjidTsVHLSJNJ5nNZmRkZKC9vV3xmvidXKSRGMB7fcvKyiRrVzxEo4lvzJqamsIabjmJ1Ww2NTWhb9++krWLIAhlIImJsdvt2LhxI9asWQOz2YyJEydi1apV2LRpEy677LKQn/v8888xdOhQFBcXR31Op9MZEEI2Go1xTxnNhtojDbmzN91evXr1+JmCggIcOXIEjY2Nig3pezweQSQmLy8vbFsLCgrQ3t6uaE2A8Ak/lCb2NX7neOzYMcXqikQTi7+mQYMGBewT7XdfCo4dO8Zt5+fnR6Up3nYrQb9cJLN2gPQrQX+kkyxKYmJqampgtVoFN5VBgwahqqoq7OfWrVuHKVOmCF6rq6vD5MmTYbVaMW3aNMybNy/oTKQrVqzA8uXLBa/NnDkTs2bNikOJj9ra2h73cTgcXM1ERkYGqqurw+6fnZ3NmZiDBw+KOjOmmPAjMd3d3WF1sTMPnzhxAgcOHFDsdN3seimAt9YlnCZ+RI1dUVeJ8DV1dXVFrGnPnj1hHxwi+e5LxeHDh7lth8MRVhP/vvDLL7+gvLxclDbIqV9uklk7QPrl1M/O/9MTkpgYh8MhWPcC8A7rDFcUefToUezevRtPP/0091ppaSneeust9O/fH4cOHcKCBQuQlpaG2bNnB3x+7ty5Aa+LFYmpra1FcXFxjyaDf4MtLi4WzDEQjL59+2L37t1wuVzIysoSTKymFDwej8DEjBw5MuT6NQBQVFTE1S2lp6ejT58+krcxFmw2GwCv2z/ttNOCGmP22vNXwvV4PD1eV7lgNQHe68SuKRMM/8hLME3RfPelgl1MNT09HUOHDg27L/86AcE1RYMS9MtFMmsHSL+a9EtiYiwWi+CGCnhvsOEW6Fq/fj3OOussQUeen5/PRXPKyspw00034d133w1qYkwmk6Srjer1+h4vJr+z7927d4/79+7dW/DZcHN7yAmbTrJYLMjIyAi74ra/Jv/F2pQCm/bLzc3tMVrE19TU1KTYHzWrKSMjo8fF8PyvUzhNkXz3pYK/3EU0vycxr5Oc+uUmmbUDpF8N+iVpXf/+/dHR0SEoNKyoqAhbELl+/XpMnTo17HGV/seMZk4LQD1DkllzFm6hRBa1aIpkjSEWLWpSw0gyl8vFGWitaCIIQlwkcQVpaWmYMGECli1bhs7OTmzcuBGVlZWYMGFC0P337duHuro6TJw4UfD69u3bUV9fD8Cb73/11Vdx3nnnSdFkUYhmTgtAHTdd/hBcrWiy2+2w2+0AtNM5dnd3c9dJK5qOHz/OTS6ole8eQRDiIlloY8GCBTh27BguuugiPP/883j88ceRmZmJdevWBRTbrl+/Hueff35ACHzv3r2YO3cuzjvvPNxxxx2YOHFi0FSSUtBiJCbSBfhY1KApmmG7gLcAmy2EVaqmSCckDLaPUjv8aK+TWubzIQhCPCSbJyYnJyfoAl9Tp04NSBvdddddQY9x/fXX4/rrr5ekfVKgxUhMtMZMDZqimU8F8E5cWFBQgLq6Os1oysrKgtFohMvlUuzEcNFMdAd4I8BpaWmw2+2K1UQQhLgou8hEZWgxEhOtMVObpkiuE+DT1dDQoMj1k6LVpNPpuMiFUo1ZLNeJ1k8iiOSCTIyIRPvkqIZVn+OJxChVUzydY3d3N1pbWyVpVzzE2+Er0ZhF+3sC1LMmFEEQ4kAmRkTYjkSv10c054saVn3mh+W1kiLjtyvSYe1Kv1axaGKvVVdXlyIXtow2Cgj4NPnPNE0QhDYhEyMi7JNjfn5+RMPB09PTYTabBZ9VGtFGYkwmEzdrr1I1xRO1AJSpK15NSjRm0X73/PdToiaCIMSFTIxIMAwjWDcpEnQ6HbevUm+4sTwNq0lTtDUx/p9XClo3MdFGYgBlaiIIQlzIxIiEzWaDw+EAEHknAvhuzk1NTYrM4cfSkbD7tba2oqurS5J2xUO8JoYiMYlBi5oIghAXMjEiEUvEAlB+Dj/ejkSJQ13jqR/x/7xS0GKHz5rFzMzMsOtA8VG6JoIgxIVMjEjEErHw31fJT/hWq7XH9XhYlK6JNVZZWVkRr7elFk1mszlg8dVQqMVsxvJQAChTE0EQ4kImRiRiKUL031eJnSPbJi1pimaNIRY1aeppfSsWJc9wG+0yCixK1kQQhPiQiRGJWNNJSi4Y5S/ApxVN3d3daGlpARBb7RKgPE0ej4eLOsRqzJSmKdqh/SxK1kQQhPiQiREJLUZi+B1JpLUjgDY1ZWRkcKknpWlqaWmB2+0GEPt1UlqHL8bvSWmaCIIQHzIxIqHFSIzWNUXTOSp5OHysmvLy8rjUk9I0xVpjlpmZiZSUFADK00QQhPiQiRGJWJ8clVwwqsVi5Vg7fEA4/42ShsPHqslgMHAzSyutw4/HbNL6SclD1VEGi1/14IcDyls2g0gMZGJEIt4h1v7HUAJaDOnHY2LY/d1uN1dXowTE0KS06xSrgQaUvyYUIR7XP8LgkdeBmYvpOicrZGJEgr3pGo1GZGdnR/w5JdePxNo58usytKIJUG6ESQwT09HRgc7OTlHbFQ+xPhQAwsU629raRG0XoRwOHmWwZbd3u+Iw0GEnI5OMkIkRCf5Q5EiHuAJAWloaN6+HkjpGIPZIjNFo5NIUStPEL+yNtcMHlKVLLE1Kmlcl1u+e//5K0kSIy/ubhf+uVc5PkkggZGJEIJZ1k/iooWA0Wl1q0BRPJEZJusSIxPgfR27EiMT4H4fQFu9vFkZeasjEJCVkYkSgra0NTqcTQPSdCP8zx48fh8vlErVt8SDG03BHRwe3ppQSiGXJARalRmLi0aTUyeH4f1+taCLEo/44g//9JHyt5pg8bSHkhUyMCMTz1Oj/mePHj4vSJjGgqIUQLWpSatSCbUtOTg43ZDpSlKqJEI8Pvwb8a7ZrjlFNTDJCJkYE4hlJ4f8ZJT3hs22xWq0RL8DHolRNbKdmsVgiXmOIRemaDAZDVEXlgHI7fPbvG8vvSamaCPHwTyUBFIlJVsjEiEA8aRf/zyipc2TbkpeXF/VnlaoplnWTWJSuKT8/H3p9dD9pJXb4XV1d3KiieK+TUjQR4tHSzuCLHd7t3rm+16kmJjkhEyMCYqaTlNI5Op1OtLa2Aoi+JgFQpiaPx8Ol62LpHJWoiV9UrpUOP97fkxI1EeLx0RbA5V1lA7+6CMiyercpEpOckIkRAXa1XQDc0OJo4H9GKZOo8TVlZWVF/Xm+Jv6x5KStrY2baTeW65Sens6tn6SU69TZ2Ymuri4A8X/3lHKd2EVHAe1oIsTjvY2+VNJVE3Qo6e3drm0APB6qi0k2yMSIQHt7O7edkZER9ef5n+EfS0747bBarVF/nq+po6NDlDbFC19TZmZmTMdg/xZa0cT/jFK+e/y/bSy/JyVqIsTB3slg/Vbvdq8c4NwRQP+TJqbbBRw7EfqzhDYhEyMC/JtuvB2+Um66/HZEWwALKF9TLJ0joGwTE4sm/vdVK9fJbDbDYDAEHItQP59sBRzewCOuOA8wGHToz8s4Ul1M8kEmRgS0GInhT9euFWPG1xSriWE/pxQTw9cUSyTGaDTCYrEEHEtO4v096XQ67nNK0USIw3ubfOmiKyd4Z0bv39s3QzrVxSQfZGJEQOuRGC1qijedZLPZFLGStRjRJfZvocTrpBVNRPw4uxl89I13OzMduHCUd5tNJwFkYpIRMjEiEG8OX+kdPqWTfPANnd1uj7tN8SKGJvZzWrpOStNExM9Xu4CWk7fa6ecCphQ2EuPbhya8Sz7IxIiAFqMW/DC8VkyMGOkk/vVVQkop3nQSAEHqhfGfBlUGxDQxNpsNbrdblHYR8iJIJY33pZCoJia5IRMjAmxnlpKSEvXMtoA2iyvT0tK41byVqCnedBKgDBMjZurF5XJxw7XlRExNgDKuk5ScaGPQ0i6/+ZQSt5vBB197t80mYMrZvvf65AEn67hRXZ/4thHyQiZGBNibbixRGAAwmUzc/CNK7PBjicTodDru76FETVqJxIgZtfA/nlzEG9kElKdJKrbuYZA/ncHQGxjsrdaukdm53zd8esrZQLrFF4kxGnUoOjkfJ0Vikg8yMSLAdmaxdiL8zyrlhhtvOglQtiatmBgx00n+x5MLsY2ZEjRJxeoNDBjG28HPeZyB261NI7Njv2/7wlG6gPfZupjjrYDNoc2/AREcMjEiEG8kBlDe0F0xn4aVYmIonRQcpU0Op0VNUnGozrf93R5g6dvytUVKvq/wGZMzBgW+z6+LqaVoTFJBJiZOPB4PbDYbAG1FYsQ0MR0dHZopGNWiiVFa6iXe0X7+n1OCJqk46FcDsuhVBnsOyf9bE5vvD/i2TxsY+H6yDrP+voLBm58ycLm0d80jRTIT09zcjLvuugvjxo3DVVddha1btwbdb8mSJRg7dizGjx+P8ePHY9asWYL316xZg2nTpuH888/HQw89hO7ubqmaHBN2u53roMWIxHR2dsLlconStngQM53EMIwihiNTOik4Sku9xFuPBShPk1TwIzEA4OwGbnxMW52a283gx0rv9sAiIDM9WDqJN+FdkkRiKmoZnPs7Bjc8yuCRf2rnekeLZCbmySefREFBAb744gvceeedWLBgQcibya233orNmzdj8+bNeOedd7jXDxw4gGeffRbPPPMMPv74Yxw9ehSvvvqqVE2OiXgnumNR2pOj2B2J0jRROsmH0lIv/PSsXh/bLUppmqSgpZ3h5k0ZOxwY2t+7vX0v8PRq+dolNhWHfUsNjCwPvk8yzhWzZAXD/V1WroMiot1yIImJsdvt2LhxI2677TaYzWZMnDgRAwcOxKZNm6I6zvr16zF58mQMGzYMVqsV8+fPx7p166RocsyI0Yn4f1YJN122DampqdzIqWhRqiadThezMdOiiVHqddLS70kKDvKiMKeUACsX6sB6vgdfY/BzlTY6NX4q6YxBgVEYANxK1kBypJN+rmLwry98/645BuzaH3p/LWOU4qA1NTWwWq3Iz8/nXhs0aBCqqqqC7v/GG2/gjTfeQElJCe644w6MGuWdT7qqqgpjx44VHOPIkSPo7OyE2WwWHMPpdMLpdApeMxqNMXfALOzU8qGmmPdPu8Q6FT2/c2xtbZV9SntWF9sZxNIepWqyWq1gGKbHJ5dg1z4tLY3bbm9vV4ym1NRUGI3GmNrDN3T869TTd18q+CYm1nOH0hQNcumPlCqeiSkpBM4cyuD31wJP/cu7ovOcxxj87yUGKTHc5ZWknd85nzaQgccT+LvtV+DbrjkWf7uVpD8Yi18D/G9f721iMHKQOMZVCfojjcJKYmIcDkfAk256enrQJ9frrrsO9957LywWCz7//HPcc889ePvtt1FYWBhwHLZTdDgcASZmxYoVWL58ueC1mTNnBtTYxEptbW3Q1w8c8D0mMAyD6urquM9VUVERV2pKDFpbWwH4Ou1Q+sPBNwkHDhxAXl6eOI2LkZaWFgDe72I014mvnf8dPnr0qCjXOx6am5sBRK+JT2dnJ7ddW1sbcJxYrn2sMAzDmRiTyRSzJofDwW0fPnw4ruuUSP3RsHNPBoBcAECGsQnV1TbMvRB4f2MfVBw1Ycd+4Pl/NWHmBFvM51CC9i0/9QLgXaQ033wY1dXBZ2DOSCtGu12PqiPdqK4+Ksq5laDfn58OmvD+pj4AgLwMN0506MEwOrzzhRM3Tarr4dPRIaf+AQMGRLSfJCbGYrFwI3ZYbDYbt1oun6FDh3LbU6dOxdq1a/Hdd99hxowZAcdhO5Bgx5k7dy5mz54teE2sSExtbS2Ki4uDOsPdu3dz23379kVJSUlM5+nbty+3nZ6eHvNxxIL9u2dnZwNASP3hKCoq4rbT0tJk18QWF2dnZ0fUlmDXnp+a0Ov1smtiO+usrKyY2zJwoG+4h8Fg4I7T03dfChwOB7dMQH5+fsyaGhsbue1Yr5Mc+qOh1ec9MebUfJSUeCPfz94FXPYH7+tHW32vR4NStDMMsPewdzs/CzhrZD/ogmeUUFoI/FQF1DWnoLi4BPE0Wyn6g/G7l3zbS+YZ8NbnwJbdQMVRE7r0JRhcHP85lKzfH0lMTP/+/dHR0YGmpiYupVRRUYEZM2b0+Fkd7xtaVlYmiHRUVFSgqKgoIAoDCGe9lQK9Xh/0YvJNVmZmZswXnJ/Dt9lssn5xurq6uNQcWyAZSn84lKTJ4/EIJiWMpi187fyCUbk1Ab50UjzfvaysLG67vb094DixXPtY4f+e4ins7UlTNCRSfzRUH/OF+sv66qDXe++d5UUMAG8U9Hhb5GH5YMitva6JQWOLV8vIQYDBELot/Xt78FOVd4RWU6sOhXkh3E4UyK3fn//9xGD9d96/R//ewM3Tdeh0Alt2e1/78Gsd/jA7ft0sStMfDElal5aWhgkTJmDZsmXo7OzExo0bUVlZiQkTJgTs+8UXX8DhcMDlcuHTTz/FDz/8gDPPPBMAMGXKFHz++efYu3cvOjo68Nprr2Hq1KlSNDlmpBidJHfBqBaLlW02G5feinVkEqCsda74dWDxXCcljeQR67unJE1SwRb2mlK86wex5Pv8G5paE9smseEX9YYamcSSDHPFLHrFl6JffKMOqSYdruR1q+9v1kYxdzRIZrEWLFiAY8eO4aKLLsLzzz+Pxx9/HJmZmVi3bp2gTuWtt97ClClTMGnSJKxatQpPP/00l1opLy/H3XffjXvuuQfTpk1D7969MW/ePKmaHBNa7PBJU2iUNDqJrlNolKRJChiGwaGTE92V9AYXhQGAbCu4VMpxTZmY8BGG/r20PVfMhh0Mvtzl3S4vAn4zxbs9sEiHU8u829/tAY40JpeRkSSdBAA5OTl44YUXAl6fOnWqIJrS07wv06dPx/Tp00Vvn1hocZ4YMSaF8/+sVjr81NRUGAwGuN1u2TWJMdEdoKyJ4cSYrRfw1pXpdDowDCO7JiloagVsJ2uXB/QRvmcw6JCTweB4qwYiMbzlBkYGWW6Aj5YjMQzD4M+8KMySuTqkGH2m7coJ3nogAPjwa+B3Vya6hfKh7GSXCtDik6MYk8IBytIkVofPX51bbhMj1nfPZDIhNTU14JhyIJYmnU6nuKU8xOQgb/CNv4kBfCkl1ZuYk5GYVBMwpIeCVS1PeLfuW2/xLgAMKwWuu0j4/lUTfIbmvU3a0t4TZGLiRIuRGK0bs3g0AdCcieF/XkvXSSmapOAQb82k0sLANAtrYtrtgLNbnZ1ah51BxcmRSaeWAUZjD+kkjUZiGIbBold91/DheToYDMK/xWkDfWb2q++BE23qvOaxQCYmTsQKf2uxw9eiJkA5Jkas6BLg+5vInXqRwsTIrUkK+LP1BovE5PG+Dmqti/mpyjehW7CVq/3pm+erBarWkIn5YDOw8+SEf2cMgqCQl0Wn0+HK8d5ttxv46JvEtU9uyMTEiRirPQPK6vClqIlRkqZ4O3y+iZFzvRIxO3z2byL3dZJCk9zXSQoO1fv0hEsnAepNKUVT1At4IzVFJ6fE0UokxuNhsJgfhblJJyji5nMlL6WUTKOUyMTECUViQqNFTYDPxHg8HsFst4lGiqgFf44gOZBCE8MwAZNvqh1+JKZUqyaGX9Tbw/BqFjal1NQK2DvV35G/8yXw80Hv9tnDgEvHht537HCgV453+5Ot2tAfCWRi4kSM1Z4BZc0/IlZHYjabg850KwdSdI6AvCklKdJJgLzXSqzIJqCsUVdiw5qYNDNQkB34fn6276n8uEqls5EYnQ44dWD4fVn4dTG1Kh9m7XIxWLLCZ0QeuUknmAzWH4NBhyvO8247urxGJhkgExMnbCeWnp4e18yGRqORm4lY7g5fzJE8SimulCKdBMhrYqRIvfgfN9FoUZPYeDwMV/NRWoigHRu/JkaNkRiXi8GPld7t8iIgIy2yWWj79/Jtqz2l9NbnwL4a7/b404BJY3r+zJVJOEqJTEycsDdHMRZsZG/acheManGEiBTpJEA7JkaJkRitaBKb+hNA18mMX7B6GMAvndQieZNEZ/9hoPOkxp7mh+FTwhuppWYT0+1i8NBKnwl5dH74KAzLhaOA9JNLC37zs1StUxZkYuKE7cTENDFy33DJxIRHKSZGqnSSnKkXqUyMltJJPY1MAoQm5rgKh9t+X+HbjqSol0UwzLpBfbpZVq4Dqk7OBTRpDDBhZGR/A1OKDiUn/wb1J6C5gvZgkImJE/amG+8Nl38MuTt8KTpHm80Gj8fTw97SQemk8Cgl9SJWoTygHE1ic4hf1BtkjhgAyFN5Ye/3B6Iv6gW0kU7qcjJ45HVhLUw0FOZ6/2/vBDocYrZMmZCJiQP+AnxiRmL4x5UDqZ6G5RwhosVIjBZTL+y59Xo90tLS4jqWUjSJTbSRGFWaGH4kJop0khYmvFu+xleUfOlY4JzhsZkYAKg/LmLDFAqZmDgQ86nR/xhK6EiMRiM3HX2sKE0TEL/hVIqJ0XI6yWq1RlQDEA6laBKbnuaIAYSLQKrNxDAMw41MKsgWrtDdE1lWHTJPDhJVq4l55m3h7LzRIjAxJ8RokbIhExMHYi05wKKUDp+94WdmZorakShBU3p6OgwGQ1zHUoqJEdNsKiX1ImZ6VimaxKanOWIA73Db3JN/QrXN2Ft3HGhs8W6PLA8++iocbEqpttE7kktNdNgZVJ9cUmLscGDUkBhMTJ7vM2RiiLCIGc73P4ZWOhItalKaicnIyNCM2dTid09sWBOTZQVyMkJfd7YuRm2RGH4qKZLlBvxhU0pdTp8ZUgtHeemfUAa1JygSQ0SMViMxWuxItGhi+BGzeFFC6oVhGO7vKfZ3TyvpJJeL4eolSgvD76vWRSAFyw0Mit6c9yvwbR9tEqFBCYTfXnYJhWgRmhj1XPdYIRMTB2JHYpQwa6/L5YLD4S1pF6NzVIImhmFE7fCVYmK0lnqx2+3cCDYxHgqUoElsjjQBLrd3O1Q9DItgmLWKojE/H/R1vKdFOFMvn2zeV6fNLkKDEgjfxPTNjy26SoW9RMRIGYmRq3PUYorM4XBwnaNWIjF8s6mV66TF757YHKr3bfdkYtQ6ay9/CPnAvtF/PjPd1/m3yjtvaNQITEwUBc18Cnmfo3QSERYt3nRJU88owcTwz6uVdJKU3z2tpJMORjBHDIvShlmv/47BynUMXK7wKQ7WqBXmAubU6KMRmbwl7FQXiTnu+9v0jTGdlJcJsGMXksHEGOVugJrRYk2MmMN2AW1qUoKJ4WvSSjpJi+lZsTlY1/PwahbvIpDe/eVeBPKXQwym3u9ti16nw2+mBN+vy8mg7mQKpKSHmp9QZPKmF2pT2eLlRxp927GaGL1eh945DI42JYeJoUhMHFDUome0qEkJnaPYmlJTU2E0GgOOnUjE1mQwGLiV5bViYg5FMNEdi5IiMTv3+7a/+Tl0JIa/8nRJ75C7hSWLXxOjMhPDH50Uq4kBfHUxx5rVN8w8WsjExIEWIzFSmhit1PlYLBZuSLMSNIkRXeKvOC5X6kXsySP5x9FmOin8voKamBZJmhMx/IhA5dHQ+1XzJqgTJRJjV1cHztbE5GQAlhhSaSysiXG75Y/CSQ2ZmDjQYtSC0kk9o9fruSd8raSTAN/fRisGGpBfk9iw9SL5WYA1LZqaGHk7c/5Q38ojofeLZF2onuDXxKipsJdhGM7ExBOFAZJrhBKZmDigSEzPaFET4LveSojEiB210NJ14mtS+4q+zm4Gh0/WTEQyEVp+tm9b7qfxOl5HWtMAdIco7q0+5ns95kiMSgt7WzqAzpNL5sU6MoklmUYokYmJAy2unUQmJjKUZGLEiC4Bvr+N3W6Hy+US5ZjRIKWJcbvd3JB0tVJzDGB9WE/1MICyhljzO1K3G9zU+v7wX4+1Jkathb1iFPWyFOYmz9IDZGLiQMxFBQFldPiUTooMuU2MlOkkQB5dUqaT/I+vRgRzxEQQpVDSIpB1fimNUHUxYtTEZKl0sjvBbL0FofeLhGRaeoBMTByIHYlh6yz8j51IxO5ITCaT5ka9AD4T093dDafTKcoxo0HKqIX/8ROF2A8FgPyaxES48GPP9SJKWgTSvyMNVRfDGrWcDCCjh5qfUJhNgPHkPClqisQIRiblxbcWmrAmRt1p1J4gExMH/FWETSZT3MczGAxIS0sTHDvRiN058ke9aEUTIP9cMVKmkwB5RvNIbczUPkIpmjliWPIVsAhkl5PBCb8/feWRwI7V5eLV/MQYhQG89xy2LqZVTSZGsORAfMfim5hjzfEdS+mQiYkDtvOyWq1xryLMIneHL0XqRYua5DYxUqeT5I7EaEWTmESz5ABLHm8RyC6nPE/kwTrRYOmko8e99TJA7KkkFrYuRlWRmKb4Z+tlocJeIiLEXICPRe4On0a9RIbcJkbr6SStaBITfjop0qJXwSKQMgWi/OthgODpJDGKelnYSIyaamKOiLBuEovVAqSZvdtkYoiQ8CMxYiH3kFApOxKHw6GZUS9KMjGUTgqN3JrEgmEY7K/1bvfJi3xNISWsZB1snpKqOgTc3/iRppIY54hhyTppYrqc8kWgooVNJ+l0wkhKLOh0Oi6lRCaGCArDMFznJUUkxuVyoaurS7TjRgp7o9fr9Vx9Trzw/z42W+Lju1KkXuSeiViL6ST272gwGGA2m0U5ptyaxGLPIXB1JaOHRP45JQyzDtaJ2jsDzQ0/EhNPTQwgnCumXSXRGNbE9MoBUozxlyf0zvH+/3ird44hrUImJkbsdjv3JCFFJAaQN6SfkZEhep0P//iJhD2n2WxGSkqKKMdUSiRGKrNJ3z1l8dUu3/bEkZH/bbyLQHqRy8TU8UbHlPX1ve5fFyOY6E6kdBKgjuJej4dB3UmzF28qiYVf3Nug4eJeMjExIkXo2/9YcnckYqFFTUoxMVJ1+HKmk6T67qk5nbTxB18Hf/7IyD+nhJoYfiTmvFN92/51MYKaGJEKewF1FPc2tviKmuMt6mVJluJeMjExIvaSAyxyd/jsjV6sOgtAm5rkNjGsJjE7fLlTL1KYGLk1iQHDMNj4vXc7Mx0YWR75Z5WwCCS/sHfcqT7DXXk0eE1MugXIjfOnqralB8QcXs2SLLP2komJES1GYjweD1ezohVN/HNqNRIjFnJ/96SsMQPUa2L2VvvSAeedChijqJdQwiKQbAeq0wFjh/te50diPB4GNQ3e7dJCxB1dzEr3fV4NkRgxRyaxJMusvZKZmObmZtx1110YN24crrrqKmzdujXofn/9618xY8YMTJgwATfccAN27tzJvbd9+3aceeaZGD9+PPffrl27gh4n0UgViZGzcxR7BmIWvqZEdyRdXV3o7u4GoB0Tw+/wpYqYJTr1wi/4liqyqdZ00sYffNsTz4iuc+cvAhmqJqazi5F0JCQbicnPAgb185oZQFgT09DsHUkExF8PA/hFYlRgYoRLDoiTHk6WlayNUh34ySefREFBAb744gt8++23WLBgAT744IOAm67VasXf/vY3FBUVYcOGDfj973+PNWvWcFPw9+/fH//5z3+kambMaDESI8WkcIA2NWnRbMqZepHq96SFdNJXu3j1MKdH99meamI+2crgioUMxgwFNr4A6PXidKAsDMNwUQB2aHhRvndmXn4kRow1k/jwa2LUUNgr5kR3LMJIDANA3GurFCQxMXa7HRs3bsSaNWtgNpsxceJErFq1Cps2bcJll10m2PeWW27htidNmoSlS5eipqYGp5xySlTndDqdAWvYiLEcgMfjEfyfhd85pqenB7wfK/z1k1pbW0U7biS0tvoe1axWKzweT0j90cDX1NbWJrumSAmnnT8iqL29XTWawsG/TnxNidCWaE2RkEj9oWAYcPUwVgswspyBxxN51CQzzbsIpMfjrYnx1/Li+0CnE/j6R+CXaganlHiPLZb2461A98mpoXrneo83sC9wuNEbGWpp9yAzHajiRWX694r/vFa+iemI7m8GJP7a89NJhbnRtzcYvXJ823XHo9OihO++Xh9ZokgSE1NTUwOr1Yr8fJ+lHDRoEKqqqsJ+7ujRo2hra0NxcTH3Wl1dHSZPngyr1Ypp06Zh3rx5MBgMAZ9dsWIFli9fLnht5syZmDVrVpxqvNTW1gr+fejQIW7b6XSiurpalPPw54apqakR7biRUFFRIfg3/9z++qOhs7OT2060pv3793PbOp0upnMH087vdI8dO5ZQTZWVldy2wWAQ7dwMw0Cv18Pj8aCxsZHTHc+1jxT+dQIg6t8zNTUVXV1daGpqEu36J4qqOiPqTxQBAEaXO3DkSEPUx8hO74cT7QbUH3ehulo4JGjH3iKw3UBFZR3SIHwQjFf7/sMpALzjqjNTO1BdfRwFmXkAvJHMr3ccxfCSbvywNxOAt9dNNzaiujq+alxHuxmANy9VW9eK6uqWmI6TqGtfWVsAwOu83I5aVFfHbx66ugGgBABQXdeJan64K0Lk/O4PGDAgov0kMTEOh0PwBAR4n4jChd1dLheWLFmCG264gQvVl5aW4q233kL//v1x6NAhLFiwAGlpaZg9e3bA5+fOnRvwuliRmNraWhQXFwucIX8yrv79+6OkpCSu87DwL1xKSopox40EvokpKipCSUlJSP3RUFZWxm0bjcaEaqqpqeG2+/btG9W5w2nnzzfDMExCNR075rsZFRYWinpuq9WKtrY2OJ1OFBcXx33tI4X/gBPtdeqJrKwsNDQ0oKurS7Trnyg++dG3PWWsJaa/S68c4EQ70GoX/vZOtAlXTrZm9wH7tljaKxp92wOLrSgpseL0wcC7m72v2T19UVICtPG80+jhBYj38jc6fNs6YxZKSrJC7xyERF/75pMpL6MBGDWiGGKdMicDaG4HWmxm1X33I0USE2OxWAJmZrXZbLBYLEH3ZxgGS5YsQU5OjiC9lJ+fz0VzysrKcNNNN+Hdd98NamJMJpMoK0mHQq/XCy4m35BlZWWJdqGzsnw/to6OjoR+gfjXLDMzU3Buf/3RwNdks9kUoylSgmnn11qoUVMoMjMz0dbWhvb2du648Vz7SLHbfU/eYmvKyMhAQ0ODQFM0JEJ/KDb94Hsin3iGLqaalbws7zHa7UC3S4dUk/cYP1UxAHxpC0dX4PHj1d7Q4jtH33zv8cv7+V47WOd9reaYT+eAPrHp5JOd4TtHuyPy1IQ/Yl37nyoZzHmcwTnDgL/dowsYfXX0uFd/nzzAaBTvu1aY60FzO1DfHNvfQM7vfqRI0rr+/fujo6MDTU2+RF9FRYXgiZzPU089hcbGRjzyyCNh/2BK+mNqcZ4YLRYrS6XJv9YikUixbhIL+zdK9Egeqa4T/3hqG53Enx8m3RLdcgN8QhX3fn9AuJ+tE6LDHxXDFpoOFMza6zUa7BwxphRv7Uy8CAp7Ez8DQgBPvsVg537gpQ+Abb8I3+t2MdwQerGKelnYv7nNAXTYtbn0gCSuIC0tDRMmTMCyZcvQ2dmJjRs3orKyEhMmTAjYd9myZfjhhx+wdOnSgEjK9u3bUV/v/XbX1NTg1VdfxXnnnSdFk6NGix0+jU6KHIPBwEUWEz06SYp1k/yP19HRkdCiPilNDHvdu7u7ZVmPLFYOHPYNvR03Ivb1dEItAvl9hbBT63BAdPhLDvQ5Of/JwCLf+5VHvGaNna23fy9xRkgpbbK7rTzj8tX3wvf4Rk+sOWJYkmHWXslCGwsWLMCxY8dw0UUX4fnnn8fjjz+OzMxMrFu3TlBsu3z5chw6dAhTp07l5oJZt24dAGDv3r2YO3cuzjvvPNxxxx2YOHFi0FSSHFAkJnK0qAnwXfdEm5hEdPhAYhfrTEQkxv88Siee+WH4CCe8823/UCnczyaBieF3nGyHmpupQ/bJW2blUW/NBmugSvuIc15LKsCO/5B7npiWdgYVh33/5g+ZB4R1SVJFYgDtmhjJ5onJycnBCy+8EPD61KlTMXXqVO7f27dvD3mM66+/Htdff70k7YuXRJgYrXSOck52J7WJaWxslPU6SZVOAhKbfkmUiWlraxOMmlQyG7+PfX4YPnlZOrD1IayJcXYz2HNIuJ8U6ST+kgN9eFGBgUXAjn1AbQMEHbwYE90B3pGIWekMTrTJb2J2CgfeYfOPgMvFcDMvH+EVP/fNF3cuF+/SA95rr1UTo5wiE5Uh1U3Xf/6RRCJV6oVfdK2l+hG5IjGJSCcBib1W/HOJ+VAAqHPCO4ZhuJWr08zAmKGxHytYJGbPId/8LSwdDvFrJtiOM83sneeGha2L8Xh88+AAQEmheJ04Wxcjdzpp+z7hvzscQmMjmK1XykiMRmftJRMTI/yOy384eTzo9XruJq6lqAV7PDmNmVTppM7OTrhcrh72Fo9EpZPkMjFaMWbxcLDOOyEc4K2HMaWIk05ia2L8i3oBadJJbCSmMFe4HhK/LmbDTp95EisSA/jqYuSOxOzYF2gOv+StnnOUVzckbTqJCnsJHuzNMC0tLejke/EgV4evRROTiJoYQL76EUon9Ywa10/6itfJnT8yvuiEYCXrk4tA+hf1AuKnkzq7GLScfNbjp5IAYGBfn6bNvLlwSkVYcoCFNTGdTm/6TC7YSAx/cO1XvFShFCtYs1BhLxESNhIjdugbUEaHL1XnqCVNcq2fpPV0klaiS/HAr4eZeEZ8xwq2CGTQSIzIJkZQ1Os3bJofibHzzivGukks/GHWckVjTrQx3JIK5wzzmbmvf/QOrQYkNjFJUNhLJiZG2Juh2Ddc/jHb29slXV3WH//1oMSE1cRfVToRJCKdBCTWxGixw6d0khB2GK4lFTgzjnoYIHCeGIZhOBOT5pt4XPQh1vxOMzASE7i/wSBuTUgW7/lSrrqYHbx6mDFDfIaUXxfDjk4ym8CN2hKLvEzfKC0yMYSARERiPB4PHA4JEtUhYG/wVqtV9IkF5X7CT0lJQWpqqqjHVoKJEfv7p8XrpLZ00qE6BjUnV5Y4N856GMDbMbI/56ZWoLreNwHc2bx1dsWuieGPTPKOkvFRVACk+k2wXpQPbsSOGCghEsMv6h0zVIeJvNQgmzJkRycVFSBgJt94MRh06JXt3SYTQ3DwJ82SMhIDyNORiJ12AeQbOi6lJrnTSVoym+zfT4rfk9rSSd/u8W1POD3+Tk2v1yH35J+1qUWYSho7wrctZTrJPxKj1+swwC91JGY9DOA34Z1cJmavL5LOj8QA3roYe6evbkjsie5Y2JTSsRMQZXVspUEmJgakmiOGRa6OhO0ctWTMpNQkdyRGSx1+ItKz/PMomd0HfR3NyHJxjsmmlJpahUW9owbpuJSS+Okk33n8a2IAYV0MIG49DABkpvkMYKtMJmbHyZSR1QIMLgYG9RPWxdTwFpYWux6Ghf3bu9zeRT+1BpmYGJAyf+9/zER1jgzDSPo0LHd0SYsmRuqImRyjk6T+7qkhnbT7oG97+IDQ+0UDW9zb4QC+402BP3KQb/4WsSMxoSa6Y/GvixFzeDUgfySmscW3nMKowd7Ujk6nE9TFrPnGt79kJkbjI5TIxMSAFiMxdrudWytH6s4xUZq6u7vR2em9M2slRcYwjOaiFm63m1vFWkvRpVj5+aSJsaQCA0Sahp8/zHrTyeUMMtK8x08/GYkRuyYm2OKPfAYWCVNlYk50BwBZMq+fxC/q5S/eeQFvCYm3PufNEZMnrn4WrY9QIhMTA1JHYuSYpl/KUTyAPJoSeZ0SZWL4ZlMrHX4iHwqUHonp7GJQeXJI7ikl4iyGCAhHKLFDmk8v9x6fMzFiR2JOdpg6HVCQHfh+QDpJY5GY7Xt922OG+K7jxJG+17+v8G0XFUjTDn5RNZkYAoA2IzGJTJFpRZMcJkbKeW8AeTp8LX73YmVvjXcqfkC8VBIgNDEsbL2N9eQoHkcX4HaLV/jJRmJ65QQfdeSfTpK0sNee+ILW7byZevnLRpT3C546kromBvAW92oNMjExoMWbbiI7R61oksPEJDJiJocxk0JTamqqbGt3RYugHqZUvPRCflbgsUaWe19L580VY+8S53weD8M99QdLJQHeVBZ/RHFxL3HOzcIfYt2auJI1DnZ4dWY6UM6LOul0OkE0hkWq0Um9Nb70AJmYGNBiJEbqzlGLmrTY4cuxdpfUmvjHVXo6afchXycjZiQmL1gkZpD3/3wTI1ZdzIk272gYIHhRLwCkmnRc515aCJhTxa0JyZSxJqb+OMPN/zJ6cGBacOIZgVpD/Z3ihWpiiAC0HokhTZEht4mRIroEJL7DT6SJUVckRrzj+qeTDAbf8fmrS4s1zFo40V3o/V64S4dLzgL+727xi1qzZKyJ2cFbpTrYCuT+kZjMdMCaRoW9sWCUuwFqRIuRGEonRY8W00nscevq6jRjNgHf9Ve8iTnk/X+aWdx5U/xNzCn9fZGPdJ6JEau4N9xEd3ymnK3DlLOl6bzlLOzlF/WOHhyor7yft5CXm61XonoYwPt3MJu8C2HyR4xpBYrExIAWoxaJTCdppcOXOxKTiA4/EWt38f92UkdiOjs7E7p2VzTYO32LBQ4rFW9kEhCYTmJTSYA06STh4o/SmJSesKT61g1KdDopVFEvi39djFRFvey52GiMfyTG7WZkXeFbDMjExIDWIzFaMWZSa+IvkqmV6BKQ+LW7EplO8j+fkthbDbCeUcxUEhAYiWGLegGhiZEinSRVrUdP6HQ6rrg3kYW9DMNwkZhsK1AWZLFLQFgXI6WJAXwT3jW1Al1OBl/tYjD/SQ9yL2PQewYjmMVZbVA6KQakXIAPkCdqQemk6DGZTDCZTHA6nZqJLvkf12aTPg6fyOgSe77c3DCFGjLBppIAYPgAcaMX7CKQ7PBtfiTGatEB8HZi4qWTwi85kCgy04Hm9sRGYo42+SIeY4aGXtRx6tnetKG9Exg7XNpoFf8alM5iAiIyb29gMHKQPBGzeCETEwNSh7+1mE7S4gR+gFfXiRMnNJlOAhJjohMdiVHqCCX+mkliR2K8i0AyaGr1/vv0gb73pKiJibSwV2rY4t5E1sTwZ+odMyT0fkUFOnzzElB1FJh+rrRt6qm491C9tOeXEkonxYDU6SSLxcKtTqyV1IvRaITZbA44l5QkonNkr79WImZA4iOBUkc2AXWkk4SRGPGPP6LMd+z87ODpJClqYuRKJwG+4t5OJxJW+yGohxkSPrpxerkOV07QBZ0MUExG8CJ7BgNw6VjgjT/7XjtYJ+npJYUiMTEgdeeo0+lgtVrR1tammdQL4P1bdXZ2akpTok0MpZNiQw3rJ7HDq60WoL/IU/ADwCsP6PDmp8DMC4SvSznEOt0i3dDhSOBPeNduDz5fjtgIRiaFicQkkvmXAS63DqYU4OrzgV453mvyh5cZHG1SdySGTEwMsB2WwWBAamqqJOfIyMhIqIlJVOfY2NioKU2sibHZbPB4PFwETSoS3eFrxcQoPZ1kczDc0/Cw0tB1FPEwsEiHB+cGvi7lEOs+Mpce8YdZt9oSY2LYBTxzMsQdJh8PqSYd7poZ+HppobeG59gJwNHFwCLyhIOJgNJJMcBfRViKmw17bP65pCaRIX0tppMAcCsxS0mi00mJuFY0Ogn4pdq3LUUqKRzCdFL8KRdHF8ONBiqUMZUECCMxiaiL6XIyOHxy7pfyImnMqJjw16s6pNKUEpmYGGAjMVJ19oDvptvR0ZGQuTrYG3taWhqMRmkCdKym7u5udHWJtEhLGFhNBoMBFoulh71jI9FzxfCjCImoH9FKJEbp6SSp1kyKBLHTSfwJ1eSshwESP+FdzTHfMPkBfaQ/X7zw26jWlBKZmBjgR2Kkgj02wzAJ6UjYzjERmoDEdCR8TVI9ESXaxLB/N4vFIpnZlCudlJqaipSUFEnOoYR0UmcXg//9FHxyManWTIoEQSRGhHSSUkYmAUBWuu93n4hh1vwC2VDzwyiJ0j6+vw+ZmCSBYZiERmKAxIb0E2ViEtnhS6lJLhMjVSoJSPx1Ys+hJQMdjEv/wOC82xnc+FgQEyPRmkmRIHZNjHBkkrzplERHYqp4JmZAH2WnkgBhOulgnTonvCMTEyV2u51L72ilw2cYJuGdYyKNmZSa5EonaeW7ByTGbMqdTrJ3Mtiw07u9+gvg293CDoMdXp2ZDvTrldi2iZ5OEiw5EP/x4sG/sFdqDh71XVdKJyUGMjFRIvUcMSyJ7PA7OzvhcrkCzis2idTkdru5VIhWIjF8s5moDj+R6aREfffkSCdVHBb+e9Grvs6uw86g+mQHItXIpHCIPU+MUmbrBRJf2HuQZwTUkE4q7gWwXzcq7E0SElGE6H9sqTt8LWpKxKKCQGJNTFdXF2c2tZJOcrlc6OzsDDiv2MidTtpXI/z359uBr3Z5O/s9h3yvJzqVBACmFN9CiWKkkxpbfNu9cuI/XjwI0kl26dMl7AKeer00c/2IjSlFx62grdYJ78jEREmiIjGJnKY/EcN2Ae1rkrrDT8S8N/7HljoSk4ih/YD86aR9tYGvLXqVAcMwkq6ZFAk6nY6LxohhYtilDYDAhScTTVYPNTE79jFY+A8PDhwWx+CwRqBfAZAi8Sy8YsGmlJpavVFBtUEmJkq0GLWQo3PUiqZEmphEGTO5TIyU18lsNsNwMtwgRzppX42vc8g9eem+/hH4dJu0ayZFClsXI0ZNDD8SU5Ad//HiIVxhL8MwmPUgg8ffBO54Lv7Ou7WDwYmTXy01pJJYSnl1MdXH5GtHrJCJiRIt1sRo0ZglSpNcJkZKTUajkZtXRyvXSafTJXyyRT5sJEanA577f74n9D+/wnAzvAKJH17NwkViRDAxbCTGkgqkmWUencSrifEv7D3e6kv/HDgS/7kOCkYmxX+8RCGY8E6Fxb1kYqJE6x2+VkYnyaFJK+kk/vG1EokBfN+DRJsYhmGw/6SJKS0EZk8GTi/3/nv7XuDzHd7tLCvQNz+hTeNgh1mLmU6SO5UEhI/E7Oel+MQwbwdVNryahd/Wg0dlbEiMSGZimpubcdddd2HcuHG46qqrsHXr1qD7dXZ2YtGiRZgwYQIuvfRSrF+/XvD+mjVrMG3aNJx//vl46KGH0N3dLVWTI0KLkRhKJ8WOFtNJ/ONrycSwx090OunYCV8HOqQ/oNfr8MhNvo7D7fb+f3ipfNPUs+mkbld8qz17PIyiTEya2Ve07D/Z3X7eiDEx0mjaiMREd+1bOxjZ62gkMzFPPvkkCgoK8MUXX+DOO+/EggULgt48li1bhtbWVqxduxaPPfYYnnjiCVRXexcSOXDgAJ599lk888wz+Pjjj3H06FG8+uqrUjU5IrQeiSFN0aHFdBL/+FIveyGHJrvdDjfrHBIAv6h3cD/v/y87FzjrFOF+cqWSAPFm7W21+UyZ3PUwgNcUsikl/0gMv07J1om4v+dVvDliylRrYiL/3N5qBmffxmDuE0xClsYJhSTzltvtdmzcuBFr1qyB2WzGxIkTsWrVKmzatAmXXXaZYN+1a9di6dKlsFqtOP300zFhwgR8+umnuPnmm7F+/XpMnjwZw4YNAwDMnz8fjz76KG677baAczqdTjidTqE4oxEmkykuLR6PR/B//k03LS2Ne11s0tN9cdC2tjbJzsMen39e/rn89ceDUjRFSiTa09J8SXepNbW0tHDbsWqKFLbDd7lccDgcAp1i0trqG8pitVoTook9b3Z2dtj9xfru8xd3HFzsO97DNwFTfu97b1iJOL+zWEjjmZh2G4MMS2zaG5p923lZ8unhk5kGNLd7TQy/PXxzyTDexS/TzN7OOJZrz5+tt6SQgcejjpE+RfmAQQ+4Pd5oksfj6VH/B5uBOY8D7Xbv9AFLVzO491px9er1kcVYJDExNTU1sFqtyM/3JXgHDRqEqqoqwX5tbW04fvw4ysvLudcGDx6M3bt3AwCqqqowduxYwTGOHDmCzs5OmM1mwbFWrFiB5cuXC16bOXMmZs2aJYqm2lrvN/7wYV8M0mazcVEjseF3wvX19ZKdB/BpA7zpvWDn4u8TK/wOq6GhQVJNNTW+iTm6urriOlc47c3Nvru21Jr47YhXU0/w12Xau3cv8vKkWclPzOvUE+zoJMCrqU+fyB6X4/3ub9+dA8CbnssyHUN1tTfUMSgfOGtIb2zd572XFaT73ks0OnceAG9UcX/lEbgd3vmIotX+8wETAO/fNVXXhurq5vAfSADmlD4ATGi1eVBd7dOzu8r7OsveilrkZQo77Wj0V9R4j5ea4kFXey2qpZ/sWjQKc4twpMmIqiNuVFf7+jh//R4P8Nz7Wfjbf7O514YWO3FmWSOqq12itmnAgMhCk5KYGIfDIXjqBrxPjv7hdrvdDoPBIDAk6enpsNvtQY/Dhu4dDkeAiZk7dy5mz54teE2sSExtbS2Ki4uh1+tx7733Yvr06ejo6MDEiRNRUFAQ1/FDwX/y9Xg8KCkpkeQ8gPDmPnDgQMG5/PXHQ06Ob+Yrt9stqSZ+J1xWVhbTuSLRXljoi8WqQVOk9Orlm/s+IyNDsnPxF3wsLS2VVFPv3r7Zx7Kysno8l1jf/boW3/aEMb0Fywq8sgC47iFgYBEw6+Le4P0UE0ovXkFxVm4Riotj0/4Dr86krDgTJSXS1m5FQn42sO8w0OnUo29RCVKM3s7YfzhxTn4xSk762mivPcMAh5u822V99Sgtle57LAXlRcCRJqDFZkBOfgmslkD9Le3A9X8B1n3r+9y1FwLL7zch3VIkU8slMjEWiyWgINBms3HDNlnS0tLgdrsFkRWbzcZ14P7HYU2Q/3EAwGQyxW1YwqHX66HX6zF48GAMHjxYsvOw8EPdHR0dcRuIcPDNZVZWVtBzsfrjwX/CMbk1RUo47RaLBSaTCU6nU3JN/FRmvJp6wn/pAanOxb9O2dnZitQU73d/f6336T7dAhT31gmKd08dCOz+Z8yHFg2rxReBcHTpOL3Raj/RxgDwphUKcnTQ6+UfpZOZ7tPW4dAhL0uH2gYGXX4FzF7dwvZGqr+uiUGn03u8AX0iT4UohQF9Pdj4g3e7pkGHEQOE17+phcG5v2O45TP0euCp23S491r5itFZJPlL9+/fHx0dHWhqauJeq6ioQFlZmWC/zMxM5OXl4cCBA9xr+/fv5/YrKysTvFdRUYGioqKAKIwWSU1N5Z5SpR5NkahZU/V6PXd8rWgCEjfqRY7RSf7nFZtEDhtP5IzRLM5uhltPZ3A/+W/4oRCrsFdJs/WyZPF+/mxx7/4gWaJ4RiipdWQSS2mh73sZbA2lF/7jMzB5WcCnS3W47zqdIr7PkpiYtLQ0TJgwAcuWLUNnZyc2btyIyspKTJgwIWDfadOm4ZVXXoHNZsNPP/2ETZs2YfLkyQCAKVOm4PPPP8fevXvR0dGB1157DVOnTpWiyYokUZNzyTFChDRFjxyaAGnNmVyaEmViqo76RusM6Z+QU8aE1eLrjOLpzBtbfNENpZgYwSKQJ4dZ+69lBcRn3vgmpqyv/B17tPQ0Qumz7b7tr/+mw0WjlaNRspjXggULcOzYMVx00UV4/vnn8fjjjyMzMxPr1q0TFNveeuutsFqtmDJlChYsWIAFCxagtLQUAFBeXo67774b99xzD6ZNm4bevXtj3rx5UjVZcSRqci4tTjimRU1yTHYHSKsrkdElOUwMv7McUpyQU8ZEOi9DL1YkRglDrIHgE97tD7JWUoc94KWIqVJ5JIbf5oN1wr9Nm43Btr3e7VNKgKElyjEwgEQ1MYC3iPOFF14IeH3q1KmCaIrZbMajjz4a8jjTp0/H9OnTJWmj0kl0msJoNCI1NVXSc/GjFgzDSBaOlCOd1NXVBafTKVltlhzGzP+8YqNFY8ZHMEdMsbJu/nwE6aQ4IjFKTCdlpuvA1um0hkknxReJ8XX8ajQx/PWT/CMxG7/3RRMvGp2wJkWMuqqPkgz2ptvZ2QmXS9zha3zYG3pGRobkOU5WE8Mwks4Gy2pKS0sTjL6SgkRHLVJTUyUtYgfkicT4j2gUG3kiMb7OTdnpJN92POkkvonJlX9gEgC/dBLVxASlKB8wnrxN+puYz7f7vsNKSiOxkIlRMIl6GuabGKkhTbHDRi0SoSnRJiYjI0PyER3yR2IScsqYEKaTYp+0jF3BOicDSDEqo8MTFPbagS4nE7TuI55IDLuQZG4mkGVVhu5oMBh06H9yBoKDfoW9X+z0/l+vByaOTGizIoJMjIJJdHFlojtH0hQdrCapa0f8z0HGLHbYmpi++UBGmnI7N7HTSUpJJQGBkZjKo955XQChwYk1EtPtYnC40butxigMC1vc29rhnRMGAOqPA7tPrrI+ZgiQnaG87zCZGAWTiJuu2+3mJhfUSkfCMIxsJkYr0SWtm02p17kCvHOmsJ26kot6AXHSSd0uBq0n/6yKMjGCwl5GkEo6Y5Bv2+aILQJVc8w7eR6gDRMD+FJKG3b5XlNiPQxAJkbRJOJpmF+XopXUi9Pp5GqItKSpq6sLgHaMGd9sJiK6lOhIjGBkkoLrYQBx5olpavFtK2VkEiCMxLTahNdlFM/ExGre2FQSoK6FH/0Z0McXZWHnNvpih+99JdbDAGRiFE0inoYTOeLF/xykKXISrSlRBppd/VYrxowPvx5miIJHJgHiDLFW4sgkIHCI9f5aX8TljMG+6xKrbkFRrwrniGHhj1Cqrvem3DacrIdJNQHnjpCnXT0h2RBrIn4ScdNN5FBkgDTFSiLnUwESrykRJibRM/byO0slF/UCwnRSrDUxSjUxWXwTYxe28wwRIjFqH17N4p9Oqm4woubk+lLnnQpYUpVp0CgSo2AS8TSsxSd8LWpK5HwqgHAtMq0Ys5SUFG4eJEonCeGnk2LtzAUmJls5HV5gJMa73ScPKMz1vReredNOOsm3fbAO+N9u35dCqakkgEyMotFimoI0xUaiNQHSz0ScaGPGP08i00mmFOFTrhIxGHRIPTn1UKxpFXZ4NaCsmpg0s3d4MOAtwm1o9m4P6S9OQTObTtLpwA1TViN98oCUk7mZ6nrgmz08EzNKpkZFAJkYBaPFkD5pio1ERy0A6WeMlsOYJcrEuN0MDhzxbpcXeU2C0mGjMVqridHpdFxxL3tNAO+CnKYU3yRv8dbEFOUDqSblX+dQ6PU6lPDmivn2F+8XIssKjB4iY8N6gEyMgqHUS2xoUZMWoxZyGjOpTUz1MaDL6d1W+vBqFjYqEXs6SXmLP7JkBpkMenCxdxXm9Dh0t9t9w+jL+sbePqXAppQ6HEBzh9fdXXCGsk04mRgFo8U0BWmKDTnTSeyaUGIjpzHr6upCd3e3ZOdRUz0MCxeJEaEmRknpJEBY3MvCFluz5i2WSIzalxvwpzSIhotGKdfAAGRiFA2lXmJD65oSFbWQejSPnOkk//OLjdDEKLsTYEnndeZMDPO+8Wti1BGJ8f6fNW+xRGIO8op6+fOsqJXSwkANSp3kjoVMjIKh1EtsaFGTnFELQHoTk+h0EiDtrL37+MOr+0l2GlFhIxIMAzi6ov88G4kxGoKbBjnhT3gHAAaDL3LCRWIc4OYtipQqXiRGS+kklj55wNASedoSKWRiFIwW0xT8p3utaDKbzdxK2VrRBEhvzrRozFj4U9urLZ0ExJZaYWfszc/yFtMqCX9TNaAQMKV428jqdrkBZ5QZRq3MEcPiP4ruotHKu5b+kIlRMBaLhVvZV6obLv9pNBEdidFohMXiffTRiiadTqfpIlhAGnOm6XTSSROTlwXkZSm7E2CJZxFIhmHQeDISo7R6GCDQxPCNpTWO2Yo1VxPjZ2IuVPDQahYyMQpGp9NJPldHome3BaSff0SLmrQYtdBinQ8AdNgZHDm5qrFaRiYB8XXmNodvNJbS6mGAwMJe/gzK6XHMFcOamFSTN/WidgrzALPJ928lzw/DQiZG4Wh5rg7SFDmUThKHRERi1JhKAuLrzIWz9YrSHFHJTBdGwwbz1rKKdcI7hmE4E1Na6J1nRe3odDqcM9y7fdqALvTrJW97IoHWTlI4iUxTyDH/CMMwoudc5dTkcDjgcrlgNIr705I7akHppMixdQJD+wOVR5W/8COfgJqYKIpzBcOrFRiJ8S/s5Rdbx5pGa2gG7CcjVlpIJbG8+WcdPtjMYGT/RgDKr0onE6Nw2A7LZrPB7XZzBaRiwd7I+WvlSA2rye12o7Ozk6uREQt+55SenphhEnxj0dHRgezsbFGPz5oIo9HIrf8jNYlMJ2nJxIw/XYdf3tTB5WLgdElyCklIN+sAeAtVo00nCYZXZ4vVIvHwr4nhp5NijcRU8mb/1ZKJKSrQ4bdXMKiudsvdlIigdJLCkXpIKHsjT1Qn4n8uKZ/wrVYrVxgtNYnSlJGRkbDRAolKJ6WlpYluzkORqMJeADAadUgzqycSE886QsIlB5SnmR+JSTMDffN9/063+NobjXn7do9ve8QA5WlOFsjEKJxEPQ3LZWJIU2Swx0xUKglIrDFLFIk0MWqDXxMT7egkpa6bxJLFq+8f1E9YvxKredv0g2949YTT42kdEQ9kYhSO1E/DcnQkpCl6WBOhpQ5fbmMm5WR3aoRfG2KPOp3k69AVOcSaF4nxHzEWS02Mx8Ng84/e7dxMYFhpXM0j4oBMjMKR8mnY5XKhs7Mz4DxSI6UmhmFkf8KX4jo5HI6A80iNlMaMYRhNGjM1E88Qa6VHYk4dCBTmerevGC9M/cQSidlzCDhx8mc+/jRtjExSK1TYq3CkvOnKUVjpfy6xNTkcDng8noDzSI2UmvgRA62kkzo7O+F2uwPOIzVkYkIT1xDrFt+2Ek2MJVWHvW8CdceBoSVCwxHLTMWbfvBtTzidDIyckIlROFI+DctlYkhTdGjRbMoxZBwgExOOeJYdUHokBgCyrDpBbQyLlZdq6nAwAHo2JVQPoxwonaRwpHwaTvT0/MHORZp6Ro5J4QDvmlDsfDdid/hyaUrEjL1qxRpHYS87xNpqAcyp6opMRFsTwzAMF4mxWoCR5dK0i4gMMjEKJ1FPw4manh8gTdEiV9RCp9Nx8+yIbczkii4ZDAbJ1+5SK/zOPNYh1kqNwoQj2pqYyiPetBQAjDvVO5SekA8yMQpHi2kK0hQdcmkCfJMFasWYAdLPgq1W0mMs7HW7GZw4+adU4kR3PRFtGo3qYZQFmRiFI2WaQgm1FqSpZ+RKvQC+aJZW0kn885GJEcKPSEQzxLq5HThZS6/IJQd6QlgT0/P+VA+jLMjEKBwanRQdWteU6KgFa2LsdjtcLvHm0JczukQmJjiWVICdDDqadJLSF3/siVgjMakm4Myh0rSJiBwyMQpHi2kK0hQdSkgnAeJODqeEdFJ3dze6uroSem4lo9PpkHayQ48mnaSGkUnhiMa8HW7wrVx9zjAg1UTpJLkhE6NwKPUSHVrUpIR0EiCuOVNCOgmgWXv9YaMS0YxOEqxgna2+Tl2n00Wsm52lF6BUklIgE6NwKPUSHXJpSk9P5xZm1FI6iR+JEdOcKSGd5N8OwlcXE00kRrCCtQojMYBPd0+RGGE9jPoMmxYRfbK73bt349FHH0VNTQ2GDx+Ohx56CH36BK5TfuLECTz11FPYuXMnXC4XTj/9dPzhD39AYWEhAGDZsmV47bXXYDKZuM9s3rxZ7OYqHrZz5E+nLxZydSQmkwmpqano6urSjCadToeMjAy0tbVpRhMgXSRGCekk/3YQvkhMzDUxKjUx6RGaN7YexmgAxg6Xtk1EZIgaiXE6nXjggQdw3XXXYcOGDRgxYgQWL14cdF+Hw4GRI0finXfewSeffIJ+/frhoYceEuwzY8YMbN68mfsvGdHr9VxHopXUC/98pKlnKJ0kLmRiQsN25p1OwO2J7DNNCl/8MRIiicQ0tjDYc8i7PXoIkG6hSIwSEDUSs2PHDlgsFsyYMQMAcPPNN2PSpEmoq6sLiMYUFRXhuuuu4/49c+ZMXH/99TGf2+l0wul0Cl4zGo2CSE4ssOvwsP+Xg4yMDLS3t6O9vV3UdvA7kvT09KDHlkp/ZmYmmpqaZNEUKdFqz8zMxJEjRyTVZLVaE/Zd9Hg8gnRSS0uLaOeWSxN7PpbW1taQ51bCbz/R8EfqOLp0EWlvaPFt52Yw8HiYkPsqFVa3sxvocnpg0Adee/78MONP0/b3Qgnffb0+shiLqCamqqoK5eW+OZgtFgv69euHqqqqoCklPj/++CPKysoEr3366af4/PPPUVhYiPnz5+PCCy8M+fkVK1Zg+fLlgtdmzpyJWbNmxaAkkNraWlGOEwvsDKOtra2orq4W7bhNTU3cdnNzc9gvrNj6U1NTAXifhMXU1NjYyG23tLSIcuxItbOGuaOjAwcPHoz4R9gTfE3Nzc0JHVHDNzGHDh0S7Vo1NDRw2y0tLaIcM1K6u7u57aqqqh41yfnbTzR6pgCAd+IUe5c+Iu219b0AeO9RjvZaVFerr3M3wKdh7/4aZKZ7jRhf/8ebcwB4U59DChtQXR3ltMYqRM7v/oABAyLaT1QT43A4BDc9wHsTdDjCX+z6+nr83//9Hx5++GHutcmTJ+Pqq69GdnY2tm/fztXLDBs2LOgx5s6di9mzZwteEysSU1tbi+LiYtE6pWjJzc1FZWUlbDYb+vfvzxWQxgt/3o9hw4Zx6+TwkUp/Xl4eAG8ErbCwkDM18cKujAwAp5xySsD3MRqi1Z6fn89t5+XliVbrwXa6er0eQ4cOFe3694TH4xFELVJTU1FSUiLKsf2/eykpKaIcNxKKi4u5bbPZHFKTEn77iSY/17dt79JFpN1+MgCu0wGnnVIMg0HCBkpEXo5vO7egP/rkBV77Hw5539fpgCsv6oWcxGZBE4qavvtRmZjbb78du3btCvrevHnzYLFYYLPZBK/bbDYukhCM1tZW3HnnnZg7dy7OPvts7nV+VOacc87BJZdcgk2bNoU0MSaTKW7DEg69Xi/bxWRz+AzDwOFwiLYmEFsPYDabe/zbia2f38H39B2JBlYTW0skRocfqXZ/TdnZ2XGfG/BpysjIgCHBPYR/TYxY3wH+d08sAxspWVm+6lObzdajJjl/+4kmw+KLoji6dBFpb2r1fiYvE0hJUeffKSPNp9t+Ujfgu/ZtNgbfH/BGZ04tA/Ky1KkzWtTw3Y/KxLz44oth39+yZQvef/997t8OhwOHDx8OSBOx2O123HXXXTj//PMF9THBUPofUkr8J1IT28QkurDS/5zt7e2CKEY8sJrEMjDRIFXBqJzXiR/J0oomKuwNjXD9pMjuuewQa7WOTAJ6Xsn6YJ1vaYXRQxLTJiIyRHUGo0ePhsPhwJo1a+B0OvHqq69i2LBhQethuru7cf/996OsrAy33357wPsbN25ER0cHPB4Ptm3bhnXr1mHcuHFiNlc1SDWRmlI6EtIUHvZYcmiSenSS3NeJTIwQ/8LenujsYrgRPWpccoClp5Ws+cPIe+cEvk/Ih6g1MSaTCU899RQeeeQRPPHEExg2bJigzuWxxx4DACxcuBA//vgjvvvuO5jNZnz22WfcPv/+979RWFiI9evX46GHHoLL5ULfvn3xpz/9CaeeeqqYzVUNUk1pL2eHT5oiw+PxcLPKJno+FUD6ye7k0EQz9oYm3awD4E2b2CMwMcd5Xwk1Lv7I0tP6SU0tvu38LBparSREn+xu+PDhWL16ddD3Fi5cyG2PHj0a27dvD3mcxx9/XOymqRYpnhz5Q9K18jTMMAzXKWlFE7/GTCuRmK6uLs1997QCPyLh6Oo5UK/2xR9ZrBafeQsWieHPSqzWuXC0SvIWmqgIKdIUck4K539OsTTZbDYwDBNw/EQhhSY5J4UDpDExSvrukYkRIqiJ8YvEMAyDI43CeWC0sOQA4F8LFPh+U6tPs5p1ahEyMSpAijSF3B0JaYoMOafnB7xzFLFF9VIYaLnTSWRihISriVn8KoN+VzOY8nsG3S5vpy5cckC9aRZBTYw98H0tLK2gVcjEqAApbrpyd/ikKTLk1qTT6bhojFY0STXiSgvwO3M7L53EMAyW/de7/dl2YNErJ01Mi29/NadZeqqJoXSSciETowKkTieJNWQ7GkhTZMidTuKfV6wOX25Ner2eMzJkYoSkC0yML7JysE7YkT/5FvDZNgaNGkmzCEcnBS6boJXaHy1CJkYFSJGm4I/K0ErqRYua5E698M+rlXQSIL4x0wr8iAQ/ErPl58B9b/gLg90Hff9Ws4npqSaGNXCpJqHhIeSHTIwK0GKagjRFhtya+Odl522KFyVpIhMjRDg6yReJ+XaPLzrRv7f3/8dOAP/Z6NtfzWmWSOeJyc9CwifRJMJDJkYF0OikyNCiJrlTL/7n9V9WJBaUpKm9vZ0b0Ub414bwTYz3/zod8NlfdeidiwBUHYkJM2MvwzACE0MoCzIxKoBG8kSG1jXJnXoBxDFnStLkdrvR2Rkkf5CkpAeZJ8bRxeD7Cu9rw0qBwcU6/HOhMBqRahJ+Vm2Ei8S02YDuk+uVqjnapFXIxKgALaYptKhJi3Oq+J9XDF1K00Sz9vqwBins3bEPcJ1cHP6ck+vvXnyWDg/8yrev2tMs4WpiaHi1siETowL4naNWUi+pqakwGr0TRmtFE3/Ui1bTSWKYGC1q0gqmFB2MJxdKZ2tituz2vX/OcJ9RefRmHS44w7t9xXmJaqE0pPEWUvePxJCJUTaiLztAiI/BYEB6ejpsNptmnvB1Oh0yMzNx4sQJzWgCvOkRqa6T3KOTAO2lkwAyMf6kW4DWDsB2Mp307W5fzdDY4b79Uow6fP4ssK8GGNI/0a0UF4NBhzQzA3tnYE2McI4Y9UabtApFYlSC2KMplNDhk6aeUZImQJvpJDIxQtgiV0eXDgzji8RkpgOnlAj31et1OKVUB71e/Z07q5siMeqCTIxKYG+6Wkm98M+rRU1ijXrRYupFi5q0BFsXY+/SobYBqDvu/ffZp0ATZiUUrG7/mhitrA+lVcjEqAQ27C5W5yj37LaAT1NnZydcLlfcx1OSJo/HA7s9yCIsUaIETVocnSRFEbZWYCMS9i69Xz2MPO1JFCEjMS2++y2NTlIeZGJUgthDQpXWOVKaIjjsMaxWK7cQY6KRSlNKSgpSU1N72FsaKBITGnakjsutw+Yffa+fM0y7URgAsKZ5/+/oAtxu3+uUTlI2ZGJUgthPw+yw0rS0NBgMhriPFwtSaTIYDDCbzT3sLQ1ia2KPIZcp8z+3mOkkLWnSEvxh1l/s8G2fPSzxbUkkwiUXfNu0+KOyIROjEsSeSI09hpwdiZSa5JqzQipNcqVd/M8tZjpJTk1kYkLD78z313r/P7gYyMvSeCSGP1cML6XEj8TkUSRGcZCJUQlShfS19DSsNU0Mw2hOE/8YWtKkJdKDBDHHarweBhDq7ghiYrKs3mHlhLIgE6MSxExTKLFzFPMJXyua7HY7t+CiUjTF2+G7XC44HI6A4yYamrE3NMFWaeZPcqdVrCFm7WXTSQUUhVEkZGJUgphpiq6uLm40kFbSSR6Ph1ucUCualDCKx//c8RozpWiiSExogq2BdI7G62EAoW42EtPtAlpOetz87IQ3iYgAMjEqQcybrhJG8fifO15N/KdprWhSynUScziyUjSRiQlNulkYdUm3ACMGyNSYBBIsEnOC59lpZJIyIROjEsRMUyixIyFNgShhUjhAuCZUvB2+UjSRiQmNf03MmUMBYxLUgvDNGxuJoZFJyodMjEqQKk2hxdSLFjXJmXrhn18r6aS0tDRu3h0yMULY+VJYkqGoFwgeiaE5YpQPmRiVoMU0BWkKj1I08c+vFU06nY5Lk5GJEeIfidH6JHcswWpiGnkmhhZ/VCZkYlSCVKkXuWbrBUhTTygl9cI/f7zLXihJE5mY4ASYmCSMxNhPmhiKxCgfMjEqQcw0hVKKYElTeJSSeuGfP941oZSkSewVx7UCvzMv6wv0ykmOCESweWKOk4lRPGRiVIIW0xSkKTxK0eR//nh0KVFTR0eHKIuqaoXMdN+21pca4BOsJoYKe5UPmRiVoPWRPFrp8MXUpKTUi5ZNjFgrjmuF0UOAUYOBtFQPfneF3K1JHMEiMZROUj5GuRtARIYWO3x2hIjH49GMMTMajbBYLHA4HJoZyeN//nh08T8rtyb/WXvZYeTJTopRh+9eZlB5sBaDBpbI3ZyEwR+VRaOT1ANFYlRCSkoKtzKzVkyMTqfT3KgX/vm1qAnQXiQGoLoYf/R6wJRkj7hBIzEt3v8bDd61kwjlQSZGRbA3Xa1ELfjn12KHT+mkQJR4nQAyMUT4eWLys7wPXYTyIBOjItjwu5Y6fCkmUVOSpngKRimdJC1kYgg+/EiMzQEwDG/xx2w5WkREApkYFaHlqIXNZuNWbI4FJWpyuVzo6uqK+ThKmfsGoEgMoX2MRh1STd5tmwOwd+nQ1e39N9XDKBcyMSqCvek6nU7ROkcldST8uV6iRama4ukc2aiFxWKB0ShvgYLYJkav18NiCbJccgIhE0P4w0ZjOhxAc7uve6QVrJWL6CZm9+7d+NWvfoVx48bhlltuQV1dXch9p0+fjnHjxmH8+PEYP348HnvsMe49j8eDpUuXYuLEibj44ouxatUqsZuqOsSaSI3/2bS0tDB7So9YaQolRS3E1iR32sW/DWKkkzIzM2WvMRBzdW5CG7B1MbZO4Hi7gXu9gCIxikXUxzun04kHHngAt9xyC6ZMmYJly5Zh8eLFWL58ecjPvPzyyzj11FMDXv/Pf/6DnTt34r333kNbWxtuvfVWDB48GGeeeaaYTVYV/k+O+fn5MR2HvWFbrVZuETy5EPsJPyUlBampqXG3Kx7E1iR3ZMm/DaSJ0CoUiVEfopqYHTt2wGKxYMaMGQCAm2++GZMmTUJdXR369OkT1bHWrl2LG2+8Ebm5ucjNzcWVV16JtWvXhjQxTqcTTqdT8JrRaITJZIpNzEnYOo146jXEgv/k2NLSEnOb2LRNRkZGj8eQWj9fU2tra0I0RUqs2sXQxDAMF7UQU1M08PXz51Bpa2uLuT18EyP3b6onTUr67SeaZNXui8QwOMGLxORlJtffQgnXP9IHbFFNTFVVFcrLy7l/WywW9OvXD1VVVSFNzO9//3swDIPTTjsN9913H7ef/7EGDRqELVu2hDz3ihUrAiI+M2fOxKxZs+KRxFFbWyvKccSioqIC2dnZMX22tdU7btBsNqO6ujqiz0ilnz96p6KiAr17947pOC0tLQC837lINUVKtNr5P/wDBw6gf//+UZ+zq6sLLpcLAGAymUTXFA21tbWCFFJ9fX1M7fF4PJzZTE1NlVUT4C0mZzly5EjI9ijtt59Ikk27Ab0BmMEwOtSd8JkYdDeiujr5ZnWW8/oPGDAgov1ENTEOhyNg1sv09HQ4HI6g+z/66KMYOnQouru78fLLL+O+++7DqlWroNPpAo4V7jgAMHfuXMyePVvwmliRmNraWhQXF8ueeikqKuK209PTUVIS/WyaDMNwN+/c3NwejyG1/n79+nHbaWlpMWkCwE0bn5OTE/Mx/IlVe3FxMbdtsVhiak9jYyO3nZ+fL5qmaODr59fEuN3umNrDN0J5eXmyaOLT3NzMbev1+oD2KOm3n2iSVXtejm/7cJOvexw6sAAyf10Tipquf1Qm5vbbb8euXbuCvjdv3jxYLBbB0w3gfdoJNQrh9NNPB+B9KrvnnnswceJEHDlyBP369Qs4VrjjAN6n1XgNSzj0er3sF5PfkXR0dMTUHrvdzkUKMjIyIj6GVPr5mmw2W0zncLlcnMGNRlOkRKtdDE38kVqZmZmyfvf0ej2ysnyVjbF+9/i/Z7k1AYhYkxJ++3KRbNqtFl8UlW9ieufqoNcn32R3arj+UZmYF198Mez7W7Zswfvvv8/92+Fw4PDhwygrK+vx2DqdTjBaoaysDAcOHOA+W1FREdFxtIwYo5OUNBQZEGfUC7/D14omJU10B4izJpSSJroDqLCXCIQ/ay/fxNA8McpFVIs1evRoOBwOrFmzBk6nE6+++iqGDRsWtB6mvr4eP/74I/cU/fzzz6OwsBB9+/YFAEydOhVvvPEGmpubUV1djQ8++ABTp04Vs7mqQ4ybrtJMDGkKjtI0AfFPtqg0TWRiCH/4s/bWHScTowZErYkxmUx46qmn8Mgjj+CJJ57AsGHD8PDDD3Pvs/PALFy4EDabDX/5y19w5MgRmM1mnHbaafjrX//Kha6uueYa1NbW4sorr0RKSgpuvPFGnHXWWWI2V3Xwb7piPOFrpSPRoiYlrZvEkpGRgYaGBs1cJ7PZDIPBALfbTSaGACBcydrp8mYGMtKAVFPypZLUgujTgA4fPhyrV68O+t7ChQu57YEDB+Ltt98OeRy9Xo/77rsP9913n9hNVC2UTgqO1jUpIfUCBK4JFe1kdUpLJ7GrqLe0tJCJIQAA6WYdAOF6ZxSFUTbKrtghBIgdtZB7ZluANIVCacYMiH9NKCVqYr8vZGIIQFgTw0ImRtmQiVERlE4KjhY1KTWdxBKLLqVdJ0C8RVUJbcCviWGhFayVDZkYFUHppOAoTZPYZlMJqRcg/multHQS4LtWHR0dSTUjKxEcisSoDzIxKkKMJ3ylDUfmT2ioFU2pqancnEVaMZuAtiMxAALmuCKSj/QgJoYiMcqGTIyKSE1NRUpKCgDtRC30en3cdQlK0wRobzgyoH0TwzfDRHISPBJDI5OUDJkYlcGG4bXUOfJHvcSCFjUpMfWi5XQSQHUxRPCaGFrBWtmQiVEZWn7CJ00+lKwJ0GYkhkwMESwSU0A1MYqGTIzKYG+6Wopa8Dt8/qrWkaJkTV1dXXA6nVF/XsmaADIxLCtXrsTVV1+NW2+9Ffv37xezaYQMBKuJoUiMsiETozLYMHxnZye6u7uj/rwSOxJWE8MwMdUlKFkTEF/qReqFTaOBr6m1tTXqz7OadDpdwGr3chHvSLLt27fjvffewz/+8Q+0tLSI2DJCDmh0kvogE6My8vLyuO3jx49H/fmmpiZuOycnJ8yeiSM3N5fbjlcT/+8jJ2JpUooeQPh9aW5ujvrzrKacnBzFrIwr5u8pPz9flDYR8kHzxKgPZdxJiIgpKCjgthsaGqL+PPuZ7OxsxTzh8zXxO4VIYTVZLBbFPOHHo4lhGDQ2NgYcR274nXQs10mJmuL9PfH/DkrSRcSGKQUwGnz/NuiBbPknASfCQCZGZfTq1YvbZjuFaGA/wz+O3PBv/qTJO9SXraNRUscYT9Siq6uLS/spSVO8vyfWxJhMJkUseUHEh06nE6SU8rIAvZ6GWCsZMjEqI54nx66uLi7vr6SOJJ4O3+12cx2JVjTx91eSpngiMUqNWMQbiWGvVX5+ftQLYhLKhF/cS/UwyodMjMqI58mRv7+Sohb8zjFaTSdOnOBGNGlFE39/JdVZpKWlwWz2Fg1EG4lRqqZ4fk8Mw3DmTEmaiPiwkolRFWRiVEY8T478/ZX6NBxtR6JFTUqNxAC+zjraSIxSNWVnZ8Ng8BZBRPt74qf9yMRoB35xL5kY5UMmRmXwnxyjvekqNRIjVoevRU1K6vABX13M8ePHo5rTR6ma9Ho9155of080MkmbUCRGXZCJURnxhL/5N2mtdPha1KTUDh/wddbd3d1RTQ6nZE3s96axsTEqY6bUOh8iPigSoy7IxKgM/hOfVtJJ8dSPKFUTP02hJRMT6wglJWti28MfQRUJFInRJtY03zbNEaN8yMSoDJPJhOzsbADaSb2kpKRwmuKptVCSJr1er7n6ESD2EUpK1hRrdFOpxcpEfPAjMXkUiVE8ZGJUSKw5fKVGLQBfe7QSiQGEmrSSpog1EqNkTbEWy1MkRpvwa2IoEqN8yMSoEPbJsbW1NarFBZUatQB8HYkWNXV2dsJms0X8OVaTTqcTLF+gBMSIxCitw481EkMmRpucPcw734/Z5MEZg2RuDNEjRrkbQESPf9FoUVFRRJ9jnzJ1Op2i1uQBAjvHvn37RvQ5JUdi/Gt9Ip3Rle1Ic3NzuboapRBvTYzVauXmmlEKsY74U3J0iYidX08CeucA+u46FGRHdm8l5IMiMSok1psuv3M0GpXlX2MdzcPvHC2WIEvQyki8mpTYMcYbiVGiJkonEXz0eh0uGg2U9XHJ3RQiAsjEqJBYw9/sDVppaRcg9g5fa5o6OzvR0dER8HmlEEskxu1248SJEwCUqUmMwl6lRTYJIlkgE6NCYnlytNvtXF2GEjuSWDr87u5uRXeOsWhS8igeQBhxiNTE8CfGU6KmeCMxSkyREUSyQCZGhcTy5KjkAlggtg6f34lqRZPSTQw/4hBpOknpmuIt7KVUEkHIB5kYFRLLk6OSC2ABYZsi7Ry1qEnpHb7VaoXJZAIQeSRG6ZoyMzORkpICIPLfEz9FRiaGIOSDTIwKiaWwV4uRGK1rUmKHzx/ZphVjptPpuO9PpL+nlpYWeDweAMrURBDJApkYFRJL56jUNYZYSJMXNQzbZSMPkS4CqQZN0a6fRCOTCEIZkIlRIbGsn6T0p+FY1k9Suib+RHWxaFJq58hGYjo7O2G323vcXw2a2O+Py+VCS0tLj/urQRNBJANkYlSI0WjkOhKtRC3S0tKQluZdeU0rmlJSUpCTkwNAO8YMiH6Ekho0RVvcS5EYglAGZGJUSrTrJym9CBaIfv0kLWpSQ4cf7QglNWiKtlieTAxBKAMyMSqFfXLs6OiAw+HocX+lF8ECvo7k+PHjcLvdPe6vJk3t7e3o6urqcX81pCkoEqOOOh+CSAbIxKiUaItG2adLvV6vuEUFWVhNDMOgubm5x/35T8xK7fCjHWbNXsvMzEykpqZK1q54iDUSk5qaGvH6UYmGIjEEoU5EX0Bn9+7dePTRR1FTU4Phw4fjoYceQp8+fQL2q6+vx8yZM7l/MwyDzs5OvPHGGzjllFOwbNkyvPbaa9ycFACwefNmsZurWvyHWffv3z/s/mxHkp+fD71emd7V35j11DmwmrKyshTb4Ue7WKeS1xhiiTUSU1BQAJ1OJ1m74iHaaQvIxBCEMhC1N3M6nXjggQdw3XXXYcOGDRgxYgQWL14cdN/CwkJs3ryZ++8vf/kLCgsLMXToUG6fGTNmCPYhfEQT/mYYRtFrDLHEGl3Siqbu7m4uAqVkExNNJIZhGG4fJWuKNp2khrQfQSQDokZiduzYAYvFghkzZgAAbr75ZkyaNAl1dXVBozF81q9fjylTpsT8pOZ0OuF0OgWvGY1GQSQnFtgJrdj/KwX+jbO+vj5s+zo6OtDZ2QnA25FEoyWR+vmajh07FvacTqcTra2tAKLXFCliaI9Gk3/HKPd3LpR+dsQV4DUx4drZ3NwMl8u7GrASNIWCb8zY6xTu+rPGTKfTISsrS7G6YkWp971EQfrl1x9pxkBUE1NVVYXy8nLu3xaLBf369UNVVVVYE2Oz2bBp0ya8/vrrgtc//fRTfP755ygsLMT8+fNx4YUXhjzGihUrsHz5csFrM2fOxKxZs2JUI6S2tlaU44gF3+xVVFSguro65L41NTXcdnp6eth9Q5Fo/fv27Qvbzvr6em7barXGpClSxNK+f//+sO3ct28ft202myXVFA3++vkFytXV1WHbefDgQW7bYrEoRpM/rMkHvHr57Qx2/dnvX1ZWFo4cOSJ9A2VCafe9REP65dM/YMCAiPYT1cQ4HA6kp6cLXktPT+9x9MyXX36J/v37CwzQ5MmTcfXVVyM7Oxvbt2/HH/7wBxQWFmLYsGFBjzF37lzMnj1b8JpYkZja2loUFxcrqpbklFNO4ba7u7tRUlISct+6ujpuu6SkJOy+/iRSPz+V6PF4wraTXbcGAPr37x+VpkgRQztfk9vtDtvOqqoqbnvAgAGSaIqGUPqzsrK47c7OzrDt5HfwpaWlsmsKBcMwMJvN6OzsRHt7O0pKSsJef3ZCvN69eytWUzwo9b6XKEi/evRHZWJuv/127Nq1K+h78+bNg8Vigc1mE7xus9lgsVjCHnfdunWYMmWK4LWysjJu+5xzzsEll1yCTZs2hTQxJpMpbsMSDr1er6iLWVhYyG03NjaGbRu/+LJ3794x6UiE/t69e3PbTU1NkmuKlHi0x6qpV69eivm++evPycmBwWCA2+3G8ePHVakpGL169UJNTQ0aGhoE7fTX73Q60dbWBkDZhfJioLT7XqIh/crXH5WJefHFF8O+v2XLFrz//vvcvx0OBw4fPiwwJP40NTVhx44dWLRoUdhjK/0PmWiiKRhVw6RwAGlSw3wqgG8RyIaGhh5HJ6lFE+BtX01NTY91PjQyiSCUg6jOYPTo0XA4HFizZg2cTideffVVDBs2LGw9zKefforTTjtNEFkAgI0bN6KjowMejwfbtm3DunXrMG7cODGbq2pyc3M5Y9fTkFA1TAoHRDenitY1Kb3DZztvLWliv0cej0eQrvSHTAxBKAdRTYzJZMJTTz2FVatW4YILLsAPP/yAhx9+mHv/sccew2OPPSb4zPr16zF16tSAY61fvx6XX345Jk6ciKVLl+JPf/oTTj31VDGbq2oMBgN3A40maqHkDj8zMxMpKSkAtKPJbDZzE7xpJRID+Ebz2O32sDVvatIU6TBrMjEEoRxEn+xu+PDhWL16ddD3Fi5cGPDaP//5z6D7Pv7446K2S4sUFBSgoaEhqkiMkjsSnU6HgoICHD16VFMdfkFBATo6OjSlyX/Cu379+gXdT02a/GftHTJkSND9aMkBglAOVGiiYtgnR4fDEVBQzUctUQtAuGAiwzAh91OjphMnToRdE0pNHT5/XpVwdTFq0kSRGIJQH2RiVEyk672wN2Sj0Yjs7GypmxUXbKfQ3d3NjQAJBr+T4XeoSoTVxDBM2A6f7RzNZjPS0tIS0rZY4Xfe4epi2PcMBoPiv3uR/p7IxBCEciATo2IiXe+FfU/Ja9ewRDqah9WUm5vL1dEolUg1qWGNIZZoIzF5eXmKH2EY6e+JlhwgCOWg7LsKEZZIOkf+uklKD+cD0ZsYrWjyeDyqWGOIJdJIjBoWtGSJ9LtHkRiCUA5kYlRMJE+ObW1t6O7uDthfqUQyJNnhcKCjowOAdjS1tLRw9TJq6PAjicTYbDZu5JIaNEUaiSETQxDKgUyMiomkEFFNBbBAZE/DapkjhiVaTWro8COJxKhNU7SRmJSUFGRmZkreLoIgQkMmRsVEUoioxY6ENMlPJJEYtWlKS0vj1n6LJBKTn5+v+NolgtA6ZGJUTCThby1GYrSoSW0dvhYjMYDv+xTq98QwDKeLUkkEIT9kYlSMFjtH0qQOTdnZ2dxoI61EYgDhnD4ulyvgfZvNhq6uLgBkYghCCZCJUTHZ2dkwGr2TLmslEsPvGLQSiYlEk9qG7er1euTm5gKILBKjBk2A7/sUak4fKuolCGVBJkbF6PX6HtdPUstqzyy5ublcnYFWNGVkZMBkMgEIrUmNU9mzdTGhIjFq1NRT1EyNmghCy5CJUTn8HH6wafrVNpLHYDBwnaNWRiexa0IB2kknAb5IRHt7O5xOZ8D7atTUU50ZRWIIQlmQiVE57E3X6XSivb094H21pV4AX4cXKk2hdk09mU21dPg9jVBSo6aepi0gE0MQyoJMjMrpaZg1eyM2mUzIyMhIWLvigdXEnyyND6tJp9NxdRlKh9XkcrnQ2toa8L6a1rdi6WmEkprWt2LpKZ2kxjofgtAyZGJUTk/hb/a1Xr16qWZOi546ElZTfn4+DAZDwtoVD5F2jmqaeyTSSExOTo7i17dioXQSQagLMjEqJ1znqLb1eFgi7fC1ook/94iaNPE78XAmRk2aoinsJRNDEPJDJkblhHtybGlp4ea6UEvtCBC+I7HZbLDb7QC0o6mjo4Obe0RNHT4/EuOfTurq6kJbWxsAdWmKJhKjJl0EoVXIxKiccJ2jGgtggfDzqmhRk1rrLMJFYtQasehpsU7+a2qp8yEILUMmRuWEe3JU4+gQILwx06ImtT7dh4vEqFVTamoqt6hjuEL59PR0WCyWhLaNIIhAyMSonHAmRq1RCy1Gl7RozMJFYtSqCQi/fhJ/8UeCIOSHTIzK0WLnGC6kT5qUQ7hIjFo1Ab72trS0CCbx83g8nFkjE0MQyoBMjMrJzMzkprSnSIxy0aLZzMnJ4YaDazESAwDNzc3cdktLCzweDwD1aSIIrUImRuWEm9JerR1JpEWwatKUk5PDzWmjFU38ifm0GIkBvKtZs6i1WJkgtAyZGA3APjk2NjYKprRXa9TCZDIhKysLgHYiMXq9PuSaUGru8NnOXKuRGL5xIRNDEMqDTIwGYG+6LpcLLS0t3Otq7fABhIwuaVGTmjt81pjx5yQC1K2J/73iR2LUOhSeILQMmRgNEGr9JPama7FYkJ6envB2xQPbSbS0tKC7u5t7ndVkMBhUs8YQC6vJ4XDAZrNxr/M7R7WsBcXC78y10uHzf0/8CBNFYghCeZCJ0QChhlnz101SG6FG87CaCgoKoNer6+sbqriX3c7NzYXRaEx4u+Ih1AglNc+nwv+9kIkhCGWjrjsmERR+5/iPf/wDmzdvBuC7AastnA8I2/zkk08GzN2hdk1Lly5Fnz59AAB1dXUB76sFfmf+wgsvoH///gCAw4cPA1CnJn6bv/nmGzz++OPQ6XT45JNPgu5DEIR8kInRAPwnxzfffDPs+2qB30k8//zzAe+rXdPf/va3sO+rBX4kZtmyZQHvq1ET/7v1ww8/4IcffgjYhyIxBKEM1BWPJ4JywQUXhE1DXHLJJQlsjTj01GbSpAwuvvjisO+rUVPv3r1x2mmnhXy/tLQUgwYNSmCLCIIIBUViNMCAAQNw6NAh7NixI+C9vn37YvTo0TK0Kj4uuOAC7N27F/v27Qt4r7CwEGeeeaYMrYqPc889FxUVFdizZ0/Ae7169cLZZ58tQ6viY/To0aisrMTPP/8c8F5+fj7Gjh0rQ6viQ6/XY8uWLfjyyy9x9OhRQf2VwWDA+PHjkZKSInMrCYIAyMRohqKiIhQVFcndDFEZMmQIhgwZInczRKW8vBzl5eVyN0NUysrKUFZWJnczRCUtLQ1Tp05FdXU1SkpKVFdEThDJAv0yCYIgCIJQJWRiCIIgCIJQJaKaGJfLhfvvvx9Tp07FmDFjAtZT8efw4cOYN28exo0bh9mzZ2P//v3cex6PB0uXLsXEiRNx8cUXY9WqVWI2lSAIgiAIlSN6JGbUqFF46qmnItp34cKFOOecc7BhwwZcfvnluP/++7mpy//zn/9g586deO+99/CPf/wD//znP7Ft2zaxm0sQBEEQhEoR1cQYjUb86le/wqmnntrjvocOHUJ1dTXmzp2L1NRUXHvttXC73fjxxx8BAGvXrsWNN96I3NxclJaW4sorr8TatWvFbC5BEARBECpGttFJBw8eRElJiWCo4qBBg1BVVYVRo0ahqqpKMIpj0KBB2LJlS8jjOZ1OOJ1OwWtGoxEmkymudno8HsH/k41k1p/M2gHSn8z6k1k7QPqVoD/SEYGymRi73Q6r1Sp4LT09HXa7HYB3kTz+ooXp6elwOBwhj7dixQosX75c8NrMmTMxa9YsUdpbW1srynHUSjLrT2btAOlPZv3JrB0g/XLqHzBgQET7RWVibr/9duzatSvoe/PmzcP8+fMjPlZaWho6OjoEr9lsNqSlpQHwrrzMX+nXZrOFXUhu7ty5mD17tuA1sSIxtbW1KC4uTsq5IpJZfzJrB0h/MutPZu0A6VeT/qhMzIsvvijaiQcMGIDq6mq4XC5uyvyKigrccMMNALwTaB04cICbRKuioiLshFomkyluwxIOvV6v+IspJcmsP5m1A6Q/mfUns3aA9KtBv+itczqd6OrqAgB0d3dz2/6UlpaipKQEK1euhNPpxL///W8YDAZuzZKpU6fijTfeQHNzM6qrq/HBBx9g6tSpYjeXIAiCIAiVInpNzNVXX426ujoAwPTp0wEA27dvBwA89thjALxDqwHgL3/5Cx588EGsWLECJSUleOqpp7iozDXXXIPa2lpceeWVSElJwY033oizzjpL7OYSBEEQBKFSdAzDMHI3Qsl4PJ6kXj8lmfUns3aA9Cez/mTWDpB+NelXdusIgiAIgiBCQCaGIAiCIAhVQukkgiAIgiBUCUViCIIgCIJQJWRiCIIgCIJQJWRiCIIgCIJQJWRiCIIgCIJQJWRiCIIgCIJQJWRiCIIgCIJQJWRiCIIgCIJQJWRiCIIgCIJQJWRiCIIgCIJQJWRiCIIgCIJQJWRiCIIgCIJQJWRiCIJISlwuFwAgWZeP6+zsBJC8+ltbW+VugqxUV1ejqalJ7mbETdKamLq6Orz55pv43//+J3dTZKGlpQW1tbVyN0M2jh07hrVr12Lv3r1yN0UW6uvrsXLlSmzcuBFOp1Pu5iQMhmFgs9mwaNEivPfeewAAnU4nc6sSS319PX7729/i2WefBZCc+u+44w488cQTaGlpkbs5Cae+vh533nknfvOb36CxsVHu5sRNUpkY9olj7dq1uPbaa7Fv3z48/vjjeOKJJ/Dzzz/L3LrE8eqrr2LatGl4++23uaeRZHoae/HFFzFr1ixs2rQJd911F1555RV4PB65m5Uwnn/+eVx33XWor6/H3//+dyxduhTt7e1yNysh6HQ6NDU1YcOGDdi+fTv27dsHIHm+/8899xyuvfZaDBgwAH/84x/lbk7C2bdvH2699VYUFxfj7rvvRkZGBoDkuf5Lly7Ftddei4EDByIzMxOVlZUA1K3fKHcDEgn7xLFjxw7ceuutmD17NioqKvDee+/h7bffRklJCfel1irffPMNqqqqMH36dLS2tmLHjh248MILk+Zp7IMPPsDu3bvx9ttvo7CwEN9++y0WL16MmTNnIisrS+7mSc5HH32ExsZGvPnmm+jXrx+++uorvPTSS0lz/QHg0KFDGDhwIIqLi/Hpp59iyJAhSaF/1apVWLduHR599FGMHz8egDelZjQmTzewbds2nHPOOfjDH/4AAGhqakJ+fn5SXP8FCxagra0Nb731FoqKimA0GrF7925cdtllqtafFJGY7u5ubvvEiRNoaGhAUVERGIbBoEGDcPHFF8PlcuHf//63jK2UDr7+srIyXHfddbj77rthtVqxa9cuHDlyBIC63Xg4+PpPOeUUXHrppSgsLITT6cQ555yDXr16YefOnTK2UFr4+seNG4cFCxagX79+2LlzJ/7617/C5XJh//79MrZQOvja2RqYoqIijBgxAv369cPhw4exefNmANBkNI6vf/To0TjrrLPQ2dmJrVu34u6778azzz6LN954Q5PagcDr39raiuHDh2Pv3r2YPXs2Fi9ejEcffRTbt2+XsZXSwde/YMECvPTSSygqKgLgrYlyu90A1P3d17QFb2lpwVNPPQWGYTB8+HBcc801yM3NBcMw2LZtGyZOnAgAGDFiBCorK/Hdd9/h6NGj6Nu3r7wNF4lg+gsLC1FYWAgAmDRpEt5++21s3boVV155pardeDD4+ocNG4aZM2diyJAhGDJkCADAZDKho6MDHo8HAwYMkLm14hPs+ufk5ADwRiPeeustXHrppTjvvPPw1VdfYefOnZg+fTp69+4tc8vjx1/7zJkzkZqaCgDYs2cP3G43LrnkEhw6dAg7d+7EoEGDkJKSgry8PJlbLg7BvvtDhw7FkCFDsGzZMrS1teFXv/oVrFYrVq1aBbfbjSuvvFIz0chg332z2Yz6+nocO3YMFRUVmD59Os4++2y89dZbWLVqFbKzs1FeXi5300Uh2Pc/OzsbAOB0OmEymTBmzBg8/PDDWLhwIfR69cYz1NvyHujo6MCdd96JlJQUjBs3Dp999hkXQrztttvw7rvvckVdKSkpGDx4MADtVKwH079w4ULYbDZun9GjR6OsrAw//fST5mqC/PV//vnnAv0ejwcMw6CpqQmpqamwWCyqfhrxp6frX1JSgqeeegq33norhg8fjrPPPhsHDhzAL7/8InPL4yeY9j/+8Y/o6OgAAJSWlkKv1yMtLQ1jxozBli1bMHv2bHz77bcyt1wcgn33FyxYAIZhcMUVV2DGjBlYtWoV5s6di5kzZ+Lee+/Fjz/+qJm6qHD3/ptuugnr1q3D7t27cc0112DAgAGYP38+evXqhR07dsjccnEI9f232+0AvA9vgDcqP2jQIOzatUvO5saNZk3MgQMHYDQa8dBDD+Gyyy7Dyy+/zI1IGjp0KCZMmIDFixdz+48YMQI//PCDoJNXM8H0Hz58GB9++KFA4yWXXAKHw8F1Xr/88osmKvZ70q/X66HT6bB3716kpKSgd+/e0Ov12Lt3b1Lo1+l00Ov16OrqAgCcfvrp+Omnn7hht2omnHa32426ujoAwI8//ohnn30WDocDp556Ks4880yZWy4OwfQfPXoUq1atQmpqKmbOnIn8/HzuWo8cORI7duzQxHBbIPy9v1+/fpgxYwaam5u5/Xv37o3a2lqkpKQAUH9aPdT3/4MPPhDc+/V6PWw2G1cTpVbdmjExx44dQ0NDA/fv7OxsHDlyhOuQLBYLfvOb32Dz5s2oqqrCwoULsXv3bqxYsQL19fU4cOAASkpKuFSL2ohG/8GDBwGAS6Ocf/75+PzzzzFx4kQ88sgjXO2AmohFP+D9wU+bNg3Hjh3DrFmz8OSTTyaVfn6KpaioSJXh9Ei1b9q0CQcOHMCAAQPw7rvv4k9/+hNuueUWPPTQQ0hJScE333wjk4L4iFT/119/jX379sFsNkOn08FsNgMAfv75Z4waNUq1KdVovvuVlZW444470N7ejpUrV+Lw4cM4evQoOjs7UVxcDEB9Q85j/e0XFRXBYrFg06ZNiW6yqKjexHR3d+OPf/wj5s6di9///vd45ZVXUF9fj8LCQpx22mlYs2YNty9bhb1hwwbk5ORg0aJFqKysxAMPPIBbbrkF48ePR79+/WRUEz3R6mcYBlu2bAHg/bG6XC7897//xe7du3HTTTfhrbfeQn5+vlxyoiYe/Q6HA/v378fSpUsxa9YsXHzxxVixYkXS6G9sbMQHH3yARYsW4e6778ZFF12kKhMTy2//66+/RlFREZ5++mm89dZbmDJlCkaOHImbb74ZV1xxhXxiYiBa/QC4a9/S0oLPPvsMixYtwqJFizBhwgTV1cPEcv2//PJLZGdn48EHH8SRI0ewePFi3HDDDZgwYYLqInHx/PbZB7WhQ4eitbUVLpdLdeaNRfUmZv369Whra8N///tfXH/99aitrcXTTz8Ns9mMU089Fb/88gsOHTrE7X/11Vdj7dq1AICJEyfi0UcfxcKFC7Fu3Tr85je/kUlF7MSi/6OPPgLgNTGfffYZ+vXrh/Xr1+OGG26QSUXsxKPfYrGgoaEBF110EdatW4f58+fLpCJ24tFfUFCA6upqWK1WrFmzBtdee61MKmIjWu1XXXUV1qxZg/T0dEycOBEZGRlcHRRbE6cm4rn22dnZ2LJlC4xGIz788ENceeWVMqmInXju/ePHj8eDDz6IP/3pT/j4448xZ84ceUTEQTzXn00hTZ48Gffdd5+qh9mr0sTwh40dOHAAOTk5MBqNmDx5MubPn4+KigqsXbsWl156KUwmE1avXs3tn5GRgfLyctjtdoEbtVgsCdcRK/HqHzhwIFfkePHFF2PhwoWwWq0J1xErYuhva2sDAKxcuRJLlixBWlpawnXEipjX//bbb8cf/vAH1Vz/eLRnZmairKwMDoeDy/+rbVSGmNd+wYIFePDBB1Vz7QHx7/0DBw7k0mpqQIzr73A4uKHVp556KpdSViuq+gXX1NTg3nvvxSOPPIL/+7//A+C9MRUWFqKjowM6nQ7FxcWYN28eXnrpJeTm5uKKK67ADz/8gEcffRTbtm3jxsmnpaWpzn2KqZ+9cRkMBjklRYWY+jMzMwFAVTcwKa6/Wn4DYmq3WCyqC51Lce3ZUSpqgO794n7/1XTf7wnVmJj3338ft956K8rKynDhhRfik08+wfLlyzFq1Ch89913gjUgLrjgAhQXF+PDDz/EyJEj8eCDDyIlJQUvvfQSRo8ejfvuu09GJbFB+kl/supPZu0A6Sf9ya2/J1RjR+vq6nDbbbdhxowZALzD4u6++27cfPPNyMjIwMcff4wbb7wRGRkZMBqNKCgogMPhgMfjwdChQzF06FB0d3dzw+jUBukn/cmqP5m1A6Sf9Ce3/p5QTSTm6quvxvnnnw/AW1nd1dWF/v37A/BOYLR161ZuRd709HS0trYiMzNTkPNW80Uk/aQ/WfUns3aA9JP+5NbfE6qJxLBToXs8HhiNRnR1dSElJQUejwejR4/G5ZdfjrVr1+LTTz+Fy+XC0aNHMWzYMJlbLR6kn/QDyak/mbUDpJ/0J7f+nlCNiWFh3eW3336LkpIS7t9XXXUVzjvvPPzvf/9De3u7KofMRQLpJ/1AcupPZu0A6Sf9ya0/FKozMW63GwaDAQcPHsQ111wDAHjnnXfQ0dGBefPm4eqrr5a5hdJC+kl/supPZu0A6Sf9ya0/FKqpiWExGAxwOp3weDyora3F/Pnz8frrr2PEiBFyNy0hkH7Sn6z6k1k7QPpJf3LrD4XqIjEAUFVVhS1btmDfvn2YPXu2KmfajQfST/qTVX8yawdIP+lPbv3B0DEqXLrS5XLh7bffxjXXXKP62QZjgfST/mTVn8zaAdJP+pNbfzBUaWIIgiAIgiBUVxNDEARBEAQBkIkhCIIgCEKlkIkhCIIgCEKVkIkhCIIgCEKVkIkhCIIgCEKVkIkhCIIgCEKVkIkhCIIgCEKVkIkhCEIxbN++HWPGjMGYMWNw9OhRuZtDEITCIRNDEIQsLFmyBGPGjMEtt9zCvWa1WjFixAiMGDECJpNJxtYRBKEGVLl2EkEQ2mTo0KFYuXKl3M0gCEIl0LIDBEEknOnTp6Ouri7g9Zdffhm33XYbAOC///0v+vbtiyVLluCjjz5Cnz59cOutt+Lvf/87Ojo6cPnll+P222/Hiy++iP/+97/IyMjAnDlzcM0113DHa2xsxEsvvYQtW7agpaUFvXv3xvTp0zFnzhwYjfQMRxBqh37FBEEknCFDhsDhcKClpQXp6ekYMGAAAGDv3r0hP9PU1IQnnngC+fn5sNls+Ne//oVvv/0WDQ0NsFqtqK+vx1NPPYXRo0djwIABaGlpwZw5c3Ds2DHuHFVVVXj55Zdx5MgRPPjgg4mSSxCERFBNDEEQCeeZZ57BeeedB8BraFauXImVK1di6NChIT/T3d2Nv/3tb3jvvffQu3dvAEBtbS3+9a9/4d1330Vqaio8Hg927NgBAHjnnXdw7Ngx5OXl4YMPPsC//vUvPPnkkwCAjz76CLW1tRKrJAhCaigSQxCEKsjMzMTIkSMBAIWFhTh27BgGDhyIvn37AgBycnJQX1+PEydOAAB2794NADh+/DgmT54sOBbDMPj5559RXFycOAEEQYgOmRiCIFRBeno6t20wGAJe0+l0ALwGhf9/frqKj9lslqytBEEkBjIxBEHIAmsiOjs7JTn+8OHD8c0338BgMOCxxx7jIjY2mw1ffvklLrjgAknOSxBE4iATQxCELJSWlgIA9uzZg2uvvRYWiwU333yzaMefNWsWPvzwQzQ0NODqq6/GgAEDYLPZcOzYMbhcLlx22WWinYsgCHmgwl6CIGTh8ssvx4UXXgir1YrKykr8/PPP8Hg8oh0/JycHK1aswPTp05GVlYXKykp0dXXhjDPOwL333ivaeQiCkA+aJ4YgCIIgCFVCkRiCIAiCIFQJmRiCIAiCIFQJmRiCIAiCIFQJmRiCIAiCIFQJmRiCIAiCIFQJmRiCIAiCIFQJmRiCIAiCIFQJmRiCIAiCIFQJmRiCIAiCIFQJmRiCIAiCIFQJmRiCIAiCIFTJ/wdocJmF4FrMaQAAAABJRU5ErkJggg==", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "any_series = sine_timeseries(length=50, freq=\"M\")\n", "pred = model_air_milk.predict(n=36, series=any_series)\n", "\n", "any_series.plot(label='\"any series, really\"')\n", "pred.plot(label=\"forecast\")\n", "plt.legend()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This forecast isn't good (the sine doesn't even have a yearly seasonality), but you get the idea.\n", "\n", "Similar to what is supported by the `fit()` function, we can also give a list of series in argument to the `predict()` function, in which case it will return a list of forecast series. For example, we can get the forecasts for both the air traffic and the milk series in one go as follows:" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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IIcQvv/wiRo8eLQoLC4XJZBK9e/eWi1clb7/9thg4cKAwGo0iLy9PDB06VLz88sseRajr16+X96+urhYAxJdffinf9s9//lN07dpVWCwWcdFFF4mHHnpIdO7c2eM8ixcvFmeeeaawWCwiOztbDB48WJ6RJERrEeqHH37o8ZgHH3xQHHfcccJisYgOHTqICy+8UGzfvr3d36sQsS+u00qy9EOI5OlLsvRDiNj3ZfIj7iLUh15PzCJUnRA+FllIYvE0BBOOVO/HvHnzcMcdd6CmpiZyjQuSFs/JH//4R2zevBkrVqzQuHXqpfprKx4lS1+SpR9A7Psy6QEX3jm6rNG9VwMPXBtaG2LZDw7BEMXQk08+iZEjRyIjIwOLFi3C66+/jpdeeinWzSKiOKcsPGUNCBEFbdWqVXj88cdRV1eHHj164LnnnsN1110X62YRUZxLhhoQBiCUkKTZHYlOy1lBRJQ6kiEDktiDcERERCkoGdYBYQBCRESUYJJhJVQGIERERAnGkQQLkTEAISIiSjDMgBAREVHUMQNCREREUZcM03AZgESREAJTp05Fhw4doNPpsGHDhlg3KS7NmDEDAwcOlH+ePHkyLrroIvnn4cOHB7xYX6zNmzcPubm5ET+P9++FiFIHp+FSUBYvXox58+bhk08+QVVVFU444YRYNylkxxxzDJ599tmIHPvPf/4zli5dGpFjJ6KdO3f6DFhnzpyJefPmxaRNRBRYc0tkr3LCabgUlPLycnTp0gVnnnkmOnfuDIMh+HXghBBoaUnQV5tKmZmZyM/Pj2kbnE6nx5Vz41FOTk5UMi1EFJxlGwQKLxAYdZcLkbrcGotQSbXJkyfj1ltvxa5du6DT6XDMMccAAOx2O2677TZ07NgRZrMZZ511FlavXi0/7quvvoJOp8OSJUswaNAgmEwmrFixAkIIzJo1Cz179oTFYsGAAQMwf/58j3Nu3LgR5513HrKzs5GVlYUhQ4agvLwcALB69WqMHDkSBQUFyMnJwbBhw7Bu3TqPx8+YMQMlJSUwmUwoKirCbbfdBqB1CKSiogJ33nkndDqdx+Xjvel0OsyaNQvjx4+H1WrFcccdh++++w6//vorhg8fjqysLFx66aVyu6TzKodg2rN48WLk5OTgjTfe8Hm/9Dv83//+hwEDBsBsNuO0007DTz/9JO8jDZt88skn6NevH0wmEyoqKlBdXY2rrroKeXl5sFqtGDt2LLZt2+Zx/Hnz5qGkpASZmZm44YYbcPjwYY/7fQ2V3HHHHRg+fLj8s8vlwmOPPYaePXvCZDKhpKQEDz/8MACge/fuAICTTjoJOp1Ofpz3cdW+lpYuXYpBgwbBarXizDPPxJYtW1T9nolInbc+FThSD3y2BtiyKzLnsLMIldSaOXMmHnjgAXTr1g1VVVXyF8Nf/vIXfPDBB3j99dexbt069OzZE6NHj27zJfaXv/wFjz76KDZt2oT+/fvj3nvvxfz58/Hiiy9i48aNuPPOO3HllVdi2bJlAIDdu3dj6NChMJvN+OKLL7B27Vpcc801cvakrq4OV199NVasWIHvv/8evXr1wrhx41BXVwcAmD9/Pp555hnMmjUL27Ztw4IFC3DiiScCAP7zn/+gW7dueOCBB1BVVYWqqqqAfX/wwQdx1VVXYcOGDejbty+uuOIKXH/99bjnnnuwatUqAMCtt94a0u/13//+NyZOnIg33ngDV111VcB97777bjz55JNYvXo1OnbsiAsuuADNze53bmNjIx599FG8+uqr2LhxIzp27IjJkydjzZo1+Oijj/Ddd99BCIFx48bJj1u5ciWuueYa3HTTTVi3bh1OP/10OXAIxj333IPHHnsM9957L3755Re888476NSpEwDIv6PPP/8cVVVV+M9//uPzGGpfS3/729/w1FNPYc2aNTAYDLjmmmuCbi8R+ddoc2/XN0XmHMlQhJo014IZ9EcX9h5ufz8IwOnsirQ0ALrwU+ydOwBrZrcfx+Xk5CArKwtpaWno3LkzAKChoQEvv/wy5s2bh7FjxwIAZs+ejc8++wxz5szB3XffLT/+gQcewMiRI+XHPfPMM3jrrbcwevRo6PV69OjRA19//TVmzZqFYcOG4cUXX0ROTg7+/e9/Iz09HQDQu3dv+XjnnHOOR/tmzZqFvLw8LFu2DOPHj8euXbvQuXNnnHvuuUhPT0dJSQkGDx4MAOjQoQPS0tKQlZUl9yWQKVOmYOLEiQCAv/71rzjjjDNw7733YvTo0XC5XJg8eTL++te/tnscby+99BL+7//+D//9739x9tlnt7v/fffdJ/8OX3/9dXTr1g0ffvih3Lbm5ma89NJLGDBgAABg27Zt+Oijj/DNN9/gzDPPBAC8/fbbKC4uxoIFCzBhwgTMnDkTo0ePxrRp0+S+bN68GUuWLFHdj7q6OsycORMvvPACrr76agDAsccei7POOgsAUFhYCADIz8/3+/sO5rX08MMPY9iwYQCAadOm4bzzzoPNZoPZbFbdZiLyTxkQ2BzaH18IgeYkKEINKgCZNWsWPv/8c+zcuRMPPfQQRo8e7XO/999/Hx9++CHKy8tx4403RuWiYXsPA7sPqN07PuKu8vJyNDc3o6ysTL4tPT0dgwcPxqZNmzz2HTRokLz9yy+/wGaz4aqrrvIY/nA4HDjppJMAABs2bMCQIUPk4MPb/v37MX36dHzxxRfYt28fnE4nGhsbsWtXa75wwoQJePbZZ9GjRw+MGTMG48aNw/nnnx9S3Ur//v3lbemveimbAgAFBQWw2Wyora1Fdna2qmN+8MEH2LdvH77++ms5MGrPGWecIW936NABffr08fg9G41Gj7Zu2rQJBoMBp512mnxbfn6+x+M2bdqEiy++uM15gglANm3aBLvdjhEjRqh+jLdgXkvKPnbp0gVA6+uhpKQk5PMTkZsjwgFIs1cZYEpkQIqLi/GnP/0Jr7zySsD9CgsLceONN+Kjjz4Kq3HB6NxB5Y4CcDpbkJZmAPyXLmh/Xl9NOVqc5F1DIYRoc1tGRoa8LRVHzpkzByeffDL0encGxmQyAQAsFkvAc0+ePBkHDhzAs88+i9LSUphMJpxxxhlwOFrfLcXFxdiyZQs+++wzfP7557jpppvwxBNPYNmyZX6DGn+U+0v98nVbMEWfAwcOxLp16zB37lyceuqpAetQAlE+zmKxePzsr3hM+fyoKTDT6/Vt9lMO/bT3XKkRzGsp3N89EQWmLBCNRADinfFIiQzIuHHjAACvvfZawP2kIjm1UykdDof8xSc3zGCA0WhU3bZVs9Tt53K5UFm5G8XFxR5f3OFQ++EtfUlI+/fo0QNGoxHLly/HFVdcAaD1i2nNmjW4/fbb4XK55H2V23379oXJZMKePXtw2WWXtemHy+XCiSeeiDfeeAN2u91nwLBixQq88MILGDNmDACgsrISBw8ehBBCPo/JZML48eMxfvx43HjjjejXrx9++OEHnHzyyTAajWhpaVHVd+9+KG9TPl762fv3JITwaJf0u3viiSdwzjnnQK/X4/nnnw94fgD49ttv0a1bNwBAdXU1tm7dit69e/tsn/R7bmlpwXfffScPwRw6dAhbt25Fnz594HK55KJa5TG+//57j2MVFBTg559/9jj2hg0bkJ6eDpfLhWOPPRYWiwWfffYZrrvuujbtl7JOzc3NHsdQ/l5CfS21d1siS5Z+AMnTl2TpBxC4L8qAoNEm4HJpOxPGO6hxtIT+O43Ec6L2uzUuxiLmzp2L2bNne9w2YcIEeWw+EiorKyN2bH8OHz6MlpYWVFRUyLddccUV+POf/4yWlhYUFRXhn//8J+rr6zFy5EhUVFRg3759cnuPHDkiP+66667DQw89BJfLhUGDBqG+vh5r165FRkYGLr30UlxwwQV47rnncOGFF+LGG29EVlYWNmzYgAEDBqBHjx4oKSnBq6++iqKiItTX1+PRRx+F2WzG4cOHUVFRgfnz58PpdGLgwIGwWCx4//33YTabodfrUVFRgU6dOmHJkiUoKyuD0WhEhw7+U0EHDhyQ+7x7924AQFVVFfLy8jz2k/pYU1MDh8MhP6ahoQFNTU3yz9JwjclkwptvvonLL78cjY2NmD59us/zS7/D++67Dy0tLSgoKMBTTz2F3NxcnHTSSaioqMChQ4fgcrk8nhuj0YiRI0fimmuuwUMPPYTMzEw8/vjj6NixIwYOHIiKigpMmDABl112Gf7v//4PI0eOxNdff41FixZBCCEf6/jjj8eTTz6JZ555BieddBIWLFiAH3/8Eccff7y8z9SpU/GXv/wFdXV1OOWUU3D48GFs3boVv/vd79DS0gKz2Yx3330XQgiYTCZkZ2e3+b2E8lqSCoh3797dJlMSi/dIJCRLP4Dk6Uuy9APw3Zfauk4AWmuqdu85iIqKBk3PeaBGD6BY/tnuEKioCG+6jZbPiTRzr10iBH/84x/F4sWL293vvvvuE3Pnzm13P7vdLurq6jz+NTU1CafTqfm/5uZmsX37dtHc3ByR4wf69/TTT4vS0lKP2xoaGsQtt9wiCgoKhMlkEmVlZeL777+X71+6dKkAIA4dOuTxOIfDIaZPny769Okj0tPTRWFhoRg1apT48ssv5X3Wr18vRo4cKaxWq8jKyhJDhgwR27ZtE06nU6xZs0YMGjRImEwm0atXL/Huu++K0tJS8fTTTwun0yk++OADcdppp4ns7GyRkZEhTj/9dPHpp5/Kx/7mm29E//79hclkEgD89hmA+OCDD+Sfy8vLBQCxdu1a+fl45513PPo4ffp0MWDAAPkxV111lbjgggvkn4cNGyZuu+02+eeff/5ZdOzYUdx5550+2yD9Dv/73/+K448/XhiNRnHqqaeKdevWyfvMmTNH5OTktHnswYMHxZVXXilycnKExWIRo0aNEps3b/bYZ/bs2aJbt27CYrGIESNGiMcff7zNse69917RqVMnkZOTI+644w5x8803i2HDhnm8Lh988EFRWloq0tPTRUlJiXj44Yfl+2fNmiWKi4uFXq+XH+f9ewnltbR27VoBQJSXl8fFe0TLf8nSj2TqS7L0o72+DLrOKTCk9d+s/2p/7h173MeX/jkc8fOcqKUTIvhVUqZOnYpLL73UbxGqZMaMGTjmmGOiUoSqlvRXbmlpqWZDMLHAfqj31Vdf4eyzz0Z1dXVEF+7icxJfkqUfQPL0JVn6AQTuy4ApLvx4dGmj52/X4ZZLNSg4VPj1N4FeV3h+dTd+poPFFPx5YvmcJPYrgIiIKM5Eehqur6XXE7EQNagApKWlBXa7XV4O3G63+yxcke5zOp0e20RERMku0tNwfQUbiTgVN6gA5KGHHkJZWRnWr1+P++67D2VlZVi3bh0WLVrkUTA6Z84clJWVYdGiRXjllVdQVlaGhQsXat54IjWGDx8OIQSvm0JEUeE5DVf7a8H4CkASMQMS1CyYGTNmYMaMGT7vk1ZfBIDrr78e119/fVgNIyIiSkQRz4D4GoJJwGuUsgaEiIhIQ8rhkCa79sf3OQQTgUAn0hiAEBERaYgZEHUYgBAREWko2kuxA8yAEBERpTSnU0A5OTQSAYivGS/MgBAREaUw7+CA03D9YwBCRESkEe/ggAuR+ccAhIiISCPewUG0MiAMQIiIiFKYdzFotDIgHIIhIiJKYTHLgLAIlYiIKHXFqgaE03CJiIhSGDMg6jEAISIi0kh0akDaXuCOGRAiIqI45nIJrNksYLNrf5VagBmQYDAAISKilPH3VwVOnSpw7l0RCkC8goMmOyCEtufiNFwiIqIE88W61v+/+QmwO7QPQrynwwoBNGucnfA9DTcyAVUkMQAhIqKUoQwQGmzaH99XJkLrYRhmQIiIiBKMslizoUn74/vKTmgegHAhMiIiosSStBkQFqESERHFL0eEAxBfmYhoZEA4BENERBTHPDIgCToE42vNDw7BEBERxbGYDMHYNT4HMyBERESJJVlrQJgBISIiilNCiIjPgmENiHoMQIiIKCV4LwgWkQyIj+u0MAPiGwMQIiJKCd5f3Ak7BHM0kDIb296WSBiAEBFRSvDOEjQ0RX4pdqD1ejBakoIciwnQ6TxvSyQMQIiIKCW0CUASPANiSgeM6a3bHIIhIiKKU97rZ0SmBqTtbZGqATGmtwYhytsSCQMQIiJKCW2HYLQ/RzQzIEZD6z+AGRAiIqK4FY0hmKhMw1VmQIyetyUSBiBERJQSojIE4zMA0bbYVc6ApDMDQkREFPe86zMS8VowQgh3BsTgLkLlNFwiIqI4FZUhGB/BhpYBiNMJiKMJFRahEhERJYBkmAWjPL4yA8IhGCIiojiVDLNglMdXZkBcLsDp1H5htUhiAEJERCkhKguRRTgDouyDchqu932JgAEIERGlhGgMwUS6BqRNBsTo+75EEFQAMmvWLEyYMAGnnnoqlixZ4nc/m82Ge++9F0OHDsV5552HxYsXh91QIiKicHhnJxzNQIuPq9dqcQ7lheIiWgOSKhmQ4uJi/OlPf8Lxxx8fcL9Zs2bhyJEjWLhwIR555BH84x//QEVFRVgNpfAcPnwYr7zyCrZu3RrrphARxYSv7ITWWRApC5Gd4b5Ny4vRKbMcJqO7CNX7vkRgaH8Xt3HjxgEAXnvttYD7LVy4EE899RQyMzMxYMAADB06FJ9++in++Mc/+tzf4XDA4fB8ZRgMBhiNRp/7h8Plcnn8n6iC7cddd92F119/HT179sTmzZuhky6hGGPJ8nwAydMX9iP+JEtfYt0PX5mIukaBLGvwWRB/fVFeKM6U3pqVsNm167OyD+lpnhkQm0PA5QquL5F4TvR6dbmNoAIQNWpra3Ho0CH07NlTvq13797YuHGj38fMnTsXs2fP9rhtwoQJmDhxotbNk1VWVkbs2NGkth9r164FAPz666/YvHkzrFZrJJsVtGR5PoDk6Qv7EX+SpS+x6sfeA9kA8jxu21q+G80Noa/i5d2XJls3AGnQoxnG9DTYm/Woa2xGRcWekM+hVFFpBNAFAGC31cJh1wPIBADsqNgDQ0toaRAtn5Pu3bur2k/zAKSxsRFpaWkwm83ybRkZGWhsbPT7mClTpmDSpEmeDYtgBqSyshLFxcWqo7R4FGw/hHBHxbm5uejSpUskm6dasjwfQPL0hf2IP8nSl1j3w5rR9rbcDl1RWhr8sfz1peVoIsFqSYetGahrBJyudJSGchIffqt1b+fnZcOsGEIqKCwKui+xfE40D0CsViucTidsNpschDQ0NAT8i9toNEYk2AhEr9cn9BtZorYfTU3uCe91dXXo2rVrJJsVtGR5PoDk6Qv7EX+SpS+x6oejue0wQ5NDB70+9CFp7744jkYgJiNgNrXeZmtWPyzRnhanACDkc7Q43fc1O0PvSyyeE83Plp2djfz8fPz666/ybVu3bkWPHj20PhUFQRmA1NbWBtiTiCg5+VqjQ8vFyIQQcqGr0eCeCRONlVCBxCtCDSoAaWlpgd1uhxBC3vZVuDJu3Di8+uqraGhowE8//YTly5dj5MiRmjWagmezufN0R44ciWFLiIhiI9KzYJTZCGN6hAIQj3VAdPJKqECST8N96KGHUFZWhvXr1+O+++5DWVkZ1q1bh0WLFnkUjF5//fXIzMzEmDFjMG3aNEybNg3HHHOM1m2nICgzIAxAiCgV+fqC1jIAcXitUioFIHaHZx2elucwput83pcIgqoBmTFjBmbMmOHzvrFjx8rbZrMZDz30UFgNI+0IITwyIByCIaJU5DMA0XAIRjk8YkoHlDNi7Q53TYhW5zCmA07FIMT4aQIDewq8d78OPbvFx1ILgSR+NRO1Sxl8AMyAEFFqinQGRDnEoxyCAbQbhvFeil1ZAyIEsH4b8OaniXFROs1nwVD88Q5AmAEholQU6RoQ7+yEcr1HzQIQryJUp7PtPit/0eZckcYAJAUo6z8AZkCIKDX5ngUjAGgzXOFdn5GmGGOIVAbE18Knx2mz5EjEMQBJAd4BCDMgRJSKopkB8a4B0ep6MN4ZEF8rqDeHvrBrVLEGJAWwBoSIKDlqQJTnMKX7zur4ui0eMQOSApgBISKK7iwYowHQR2IIxqvOpOyEtvswA0JxgzUgRERRGILxqs+IzCwY97iOMR047hgd1szWYc5f3XUsiRKAMAOSApgBISJyZ0DMRndAoOkQjCIAMaUD6QYdpOu21GuUaTlQ497OPnqJtVP66FCQ4w5MEiUAYQYkBbAGhIjIHSDkZLqnyGo6BOO1TPqximt+Ll2rzdoc26vc28rjpyvSCQxAKG4wA0JE5A4QTOmAtfVi7ZFbB8QAjD/DvVDY+18BLl9zZoNUvrv1/5xMIC/LfbtHAOJjbZB4xAAkBXgHIPX19XD6Wr2GiCiJ2RUBSEYkAhCvGpDcLB1Gn9r6856DwNc/hnf85haBXftbt48tAnSKlc7S05T7hXeeaGEAkgK8h2AAoK6uLgYtISKKHZ8BiIZDMN41IADwu3PcQcK7X4SXAdm1z73yaY8iz/s4BENxyTsDArAOhIhSjxyAGKOTAQGAC85yz4aZvwxoaQk9CNm+x73do4vnfQxAKC75CkBYB0JEqcTpFHL2wJQOZFhat5vs2tRmAG1rQAAgy6rDuNNbt/dXA1//FPrxyxUByLFdPZePZw0IxSVmQIgo1dm9shNSBgQAGjXKgnivhCo552R3sLBDMYslWOW73YGS9xCMTqdD2tE6EGZAKG74qgFhBoSIUonDqz5DGYBoNQzjfS0YiVVxLoeP1VjVUg7BHFvU9v50BiAUb5gBIaJU510gKg3BANotEuarBgRwD8cA4V2nRRqCMaQBxR3b3i8NwzAAobjBGhAiSnUeAYgR6Jjr/rnqkDbncCgKTJVBhzIYCTUDIoSQMyClnQGDQddmHwYgFHd8DcEwA0JEqcT7KrLFHd1f4JX7tT+HMuhQDseEmgE5eASoa2zd9p4BI5EDEBahUrxgBoSIUp33EExJJ/fPu/Zpcw5/NSDKYMTuCG3GjUf9R1ff+7AGhOIOa0CIKNUFDkA0moYbwRoQaQl2AOhR1Hb4BeAQDMUhzoIholTnHRx4BCAaDcH4WgdEOp+vdgSjvRkwAAMQikPMgBBRqvPOgHTu4P7C1qwGJEIZkPpGgf9+438NEAlrQCjuSAGI8sJFDECIKJV4z4LR63XoWtD6s2Y1ID6uBQOElwFpaBIY9xeBNZtbfy4qAI4r9b0vMyAUd6QAJCcnB2lHl8rjEAwRpRLPWTCtf4xJwzDVdUBdY/h1IMoFzfzNgrEHGYC88l9gxdGr6OZmAv99RAeT0U8NCItQKd5INSAWiwU5OTkAmAEhotTi60q1yjoQLYZhftnZ+r/FBHTKc98eTgbk5x3uwOi9+3UY1Nd38AG4MyBCtF77Jt4xAIkDGzZswMMPP4zdu3e3v3MIpAyIxWJBdnY2AGZAiCi1RDoAOVLvXiis/7FAWpo7UAinBsSmyNz09DP9VpJoV8Q1tL8LRZIQAhdffDF27tyJDRs24P3339f8HMoAxGBofcqZASGiVOJrkbCSjjoArZmCcOtAfvjVvX1SL8/7wsmANNnd2xZT4H2NXlfENfvfNS4wAxJjzc3N2LlzJwBgzZo1ETmHNARjNpvlIRiHwwG73R7oYUREScPXImHK66mEuxbIBkUAMrCn5zCJMYyVUJUBiNkYeN9Ey4AwAIkx5RTZ3377DU6ntvOnmpub5WMqh2AAZkGIKHV4FKEe/SLXcjXUDb+6AxjvDIhHEaoDQVEOwbSXAWEAQkFRBiAtLS3Yu3dvxI6vLEIFWAdCRKkj0jUg67e1/q/XAyf08LwvnBoQKQOi03lmUnxhAEJB8V4kbNeuXRE7vtlsRkZGhvxzY2OjpuciIopXvgKQ7AwdcjJbt8NZDdXRLLBxR+t23xLAavYcgklLaw0gWvcN7thSAGIxea7l5AsDEAqKdxCgdQCiXIbdYrHAarX6PTcRUbKyN7uHSEyKWoriwtb/K/cDLldodSC/7HR/4XsPvwCtgYOUvQh1Fkx79R+Aex0QIDFWQ2UAEmPeGZDKysqIHd87AGloaND0XERE8cpzITL3tjQM42gG9leHduxABagSaRgm6AzI0Xa3V/8BMANCQYr2EAwzIESUivxdKE45E2b3wdCOvX6rogC1t+99pKAn2JVQ5SEYNRkQBiAUjEgHIN5DMKwBIaJU5GsWDABkuz8S0dD2up2qeGZAfO8jD8GEGICoGoJJ9gCkuroat99+O8rKynDJJZdg1apVPvfbs2cPbrnlFgwbNgyXXHIJvv/++7Abm4yimQHhEAwRpSpfRaiA5xd7U5BTZCVVh1r/z8kE8nPaGYIJIjAQQsg1IKqGYJQ1IMkYgDz22GMoLCzE0qVLcdttt2HatGk+p3P+/e9/R79+/bB06VL8/e9/x9/+9jfU1NRo0eakEuki1EABCDMgRJQq/AUgFpM7YLCFuDZj3dGP0myr/31CyYA4mluv6wKEUAOSbEWojY2NWLZsGW644QaYzWYMHz4cxx57LJYvX+6xX0NDA3766Sdcc801MBgMOPnkk3Hcccfhyy+/1LTxycA7A3Lo0CFNMxPKIRjWgBBRqvI3BGPRIANSd/RjPCtQABJCBiSYVVCBxBuCCepaMLt27UJmZiYKCgrk23r16oXt27f73F8I4bHtbz+HwwGHw/OZNxgMMBpV/MaD5HK5PP6PNV9BQEVFBfr27RvwcWr7oQxmzGYzLBaLx32x/j3E2/MRjmTpC/sRf5KlL7Hsh02ReUhPE/KUW+XiXo02oXoqrtSH5mYXGppa/5bPtvrvm1yE6lDf/0b3348wG9t/nEExBGNvVteXSDwner263EZQAUhTU5NHESMAZGRkoL6+vs1tJ5xwAl577TVMnToVP/zwA9atW4eioiKfx507dy5mz57tcduECRMwceLEYJoXFK2nu4Zqz549bW5bs2aNR6AQSHv9UF5ht6GhwWO4rKqqChUVFSpbGlnx8nxoIVn6wn7En2TpSyz6UVvXEUDr5+reql2or2n9cm6szwDQ+kf17qpDqKio93ME3zb/+huAEgCAQdeEigrfK5oJVycAZjhdwPYdFUhT8R1decAAoPUSuK6WBlRUBJ6mU1+XDSAPALBnz35UVKivqtXyOenevbuq/YIKQCwWS5vhgYaGBp9flg8++CD+8Y9/YMyYMejTpw9GjBiBwsJCn8edMmUKJk2a5NmwCGZAKisrUVxcrDpKiySzue31Cm02G0pLSwM+Tm0/lEMuXbt2RY8e7jWCDQZDu+eJtHh7PsKRLH1hP+JPsvQllv3QK7IDvY4tkTMfXcvdt2dk5aO0NF/V8aS+5HToJt9WmG/x+5mapfjbvaioFGYVNR0NigRGfl4GSksz/O8MoKN7cAK5HTpCzcd7LJ+ToAKQkpIS1NfX4+DBg/IwzLZt23DhhRe22bdbt2544YUX5J+vvfZajBkzxudxjUZjRIKNQPR6fVy8kb1rQIDWrIXatrXXD+UVbzMyMpCVleVx7nj4HQDx83xoIVn6wn7En2TpSyz6YW92DzGYjDp5WfMMswDQ+k1vc+ig1wde7txbg83dj5wM/8MPxnT3+Vtc6s7jaHa3zWpuf2jDmO7e36nyHJJYPCdBnc1qtWLo0KGYNWsWbDYbli1bhvLycgwdOrTNvjt27EBTUxNsNhv+9a9/oampCWVlZZo1PFn4CkC0nAnDWTBERO5ZMCaj5zVVlMWdNkfwS7HXKgYFAhahKmpN1M6EURbFciEyANOmTcO+ffswYsQIzJw5E48++iiys7OxaNEij5qNr7/+GuPHj8eoUaOwatUqPP300+1eSCcVRTMA8Z4Fw3VAiChVSFNlvb/IldNbm0KYhlun+DtOzSwYQP1qqB6zYJJwKfaghmAAIC8vD88991yb28eOHYuxY8fKP//hD3/AH/7wh/BalwIiHYDwYnRElOoczQIV+1q3u3fxvM8zAxL8sesUH+FZFv9/ZCun/qrNgNg8MiDt/wGfaAFI4g8mJjjvDAUAHDwY4gUJ2jm+xWLxKBhmAEJEqWD7HsB5dGGuPiWe94WbAVEOwWQHqBFVZkDUrgWibA9XQiXNKYOA/PzW6mtfWZFQeQc4Op1OzoJwCIaIUsEWRVK5d7HnfeFmQOrVDsGEUgMSzkJkybYSKmlPGSB06NABQOvMFa0WhfHOgADuqbnMgBBRKtj6m3u7T7HnUEbYNSDKIRiVNSBqMyAeQzBJWAPCACTGlAFCXl6evK2s3QiHdw0IwACEiFLLll3u2S1aZ0BUF6GGmQEJNgAJ9qq7scAAJMakAMRkMnmsMqvVMIyvGhPpPAxAiCgVbFEs8ukdgGhaAxIgAFFeAC+kWTBBD8EEP6U42hiAxJgUIHgXiEYiAPHOgDQ0NHhcr4eIKBltPRqAdO4AZGd4DsEov9hDuRid6iGYEDIgynVJWIRKmpOyEJEKQKQhGIPBAIOhNTyWAhCn04nm5gTI0xERhaimTmB/deu29wwYANDrdXJwENEhGIM78InYLBjWgFAwIp0BkWa6KI+tHOrhMAwRJbOtAYZfJFIWJKILkYW5EmrQQzAMQKg9UqBhtVo1D0CEEPLVcDt37izfzsXIiChVKOs/vGfASKTsQrgZkMwAFzHnLJi2GIDEkBAiohmQ6upq1Ne3XlpaeYVGLsdORKki0AwYiUWDDEimBQEv/qZcCdWuMtDxGILhOiCkJYfDIReBRiIAqaiokLdLStyDn8yAEFGq8FgDxEcNCOAe3ggnAxJo+AUIfyVUVUMwLEIltZRf/pEOQJQZENaAEFGqkFZBNaS1vQ6MRBreCGkartoAJKRZMO5tDsGQppRBRiRqQPwFIByCIaJUUb6n9f/uXYB0g+8hEim70NwCOINYP0MIoP7oR3Wg68AAUboWDAMQUivQheK0CECUV9X1F4AwA0JEyUoIgYajH6V5Wf73U365BzMM0+TQQbpqRlaAAlQgBteCYQBCgUQ6AOEQDBGlMrvKaayhLsfe0OTOqLQ3BBPSSqhH25JuANLS/Be4SliESqpFKwDR6/Xo1q2bfDszIESUCpRf9MoAwFuoy7HX2dxfoe0OwXhkQNQN89iOtkXN8AvAIlQKQrSKUIuKipCe7n71swaEiFKBMgCJTAbE/RUakVkwR9uiZvgF4BAMBSGSRaiNjY04cOAAAM/hF+lcyv2IiJKRMpgwBfgSDzUD0mBTDMFEsAZEdQaEAQipFckhGGUBqnINEIA1IESUGpQ1IIGGYELOgNiUGZDANRrhrISqZhEygDUgFIRIBiD+ClABZkCIKDXYVBahhlwD0hRaDUiwK6GaVWZAdDod0o7WgTADQgHFQwDCGhAiSlZqi1BDz4CENgtGTQbE6RRyEKE2AwK4C1EZgFBAyuyD1jUg/tYAkc7lqw1ERMlEbRGqxeQOJIKrAQmiCDXIGpBgV0GVSMMwDEAooFhlQFgDQkSpQG0RajQyIMHWgAS7CJmEAQipwiEYIqLI8SxC9V8k6lEDEkQA4lEDonEGJNhl2CVyAMIiVAokUABis9nCOrYUgOTn53tkPAAOwRBRalBdhKrJLJjA+xqDXAk15CEY1oCQGt4Lken1ehiNre+EcDMgVVVVAOCxAqrEbDZDp9O1aQMRUTIJpQg1qBqQEJdiV5UBURk8eeMQDKnivRAZADkLEk4A0tLSgubm1le4d/YDaJ2qJZ2PAQgRJSuPItQAWYRQL0ZXH0QGJD2MGhAWoZLmvIdglP+HE4DY7e5Xrtls9rmPFICwBoSIkpUthIXImuzqrtMCAHWN6mtAdDqdHBwEPQsmlAwIa0AokEgFIMr6kfYCEGZAiChZqV0JNdQMyOG61q/QvCzAYGj/arVSHQgzIK0YgMRQNAIQZWGrkjQ0wwCEiJJVKBejC6YG5HB9a8VnQY66/aWpuGpWQvWchtt+cCNhESqp4l2Eqvw/mhkQIdSnHImIEkUoF6NTmwFxNLuHYNQGIKYgMiDhLkQmROtqqvGMAUgMKYMMKVCQAhCn0ykXkgYrmADE6XTC4Qgi50hElCDsze4vYK0zIIdq3duFueoeIw/BRGEdECD+syAMQGJICkAsFos8LVaLxciCCUAADsMQUXKyKb7Eta4BOXjEvR3sEEw0VkIF4r8QlQFIDCkDEEm0AhAux05EyS6S64AcqHFvRyIDEu5CZAAzIBRALAMQZkCIKNmpvxide1ttAOKZAVFXJBrNWTAAAxAKQPriVwYDsQhAuBYIESWjSF6M7mCNe7sgV91jTIoMSHvF/00OdfUr3hiAkCocgiEiihy1GRC9XidnJ9RejE6ZAVE9BBNEcGBjBqSt6upq3H777SgrK8Mll1yCVatW+dxv9+7duPnmmzF8+HCMHTsWc+fODbuxyUQIIQcKsR6CYQaEiJKR2iJUwB2g2EIaglH3mGCuiNsU5kqoQBIWoT722GMoLCzE0qVLcdttt2HatGmora1ts98TTzyBrl274vPPP8err76Kd99912+wkor8LRbGGhAiIm2oLUIF3FkGtRmQkIpQg7gejMcsmCQtQjW0v4tbY2Mjli1bho8//hhmsxnDhw/H22+/jeXLl2P8+PEe+1ZVVeHKK6+EwWBA165dMXDgQGzfvh2DBw9uc1yHw9FmLQqDwSBfGVZLLpfL4/9Yqaurk7ctFovcHmXA0NDQ4LedgfqhDFyMRqPPfZQBSF1dXcx+H/HyfGghWfrCfsSfZOlLtPuhXHHUaBBwufzXXZiPBig2u7r2HTwiALQWn3bICnxsiTI7YbMHfkyTR/ZG3fEBwKAIQOyO9h8XiedEr1eX2wgqANm1axcyMzNRUFAg39arVy9s3769zb4TJkzAkiVL0L9/f+zduxc//fQTrrvuOp/HnTt3LmbPnt3m8RMnTgymeUGprKyM2LHVqKiokLcNBoP8szJ4qKys9NjPF1/9qKqqkrfr6up8HiPY80RarJ8PLSVLX9iP+JMsfYlWP47UdwbQmj6o2lOBQN+LBn0RgHQ02FyoqGi/fVUHuwAwIj1N4PCBXag+2H57WhwFAFrr77bv/A32ev9jJIdrCgG0/qF4aH8l9A51AYKtKQ9ANgBg129VyDOqS+lo+Zx0795d1X5BBSBNTU1tLu+ekZGB+vr6NvsOGDAA8+fPx5AhQ+B0OjF16lT07NnT53GnTJmCSZMmeTYsghmQyspKFBcXq47SIuHQoUPydteuXVFaWgoAKCoqkm/PyMiQb/cWqB/KYZzi4mKfxygpKZG3zWaz3/NEWrw8H1pIlr6wH/EnWfoS9X4cnR2bbgC6dw/8GZed2fq/o0Wv6vPwSENrZqEwFzjmGHWfn3m57u3CTt1Q2i3AzopMRs8excjNUnUKdMhzbxcUdkF7XYnlayuoAMRisbQpWGxoaGhzwTOn04nbb78dV111FS677DLs378fd9xxB3r06IFzzz23zXGNRmNEgo1A9Hp9TN/IyrqZ3NxcuS3KoRG73d5uG331w2535+6sVqvPY2RmZsrbTU1NMf9Qi/XzoaVk6Qv7EX+SpS/R6oe9+ejQtrH9YQGzsXXf1imyOqSl+V/bQwiBg0c/wgtydar7Ykp3ZzFanDro9f7P0WR375tpDbyvktHgfpzTpf5xsXhtBXW2kpIS1NfX4+BBd65p27Zt6NGjh8d+tbW1OHDgAC677DIYDAYUFRVh+PDhWLt2rTatTgJHjrhLqHNy3CXUsZiGy1kwRJSMpDU92itABTynutrbmaFS1+iexVKocgYMENwsmIajH//pBsCYHsTVcJN1Gq7VasXQoUMxa9Ys2Gw2LFu2DOXl5Rg6dKjHfnl5eejUqRMWLFgAl8uFffv2YdmyZTj22GM1bXwiYwBCRBRZUiChZiGvYJZjV07BzQ8mAAliFkz90Y//DN8f4X6lG9zBSlIFIAAwbdo07Nu3DyNGjMDMmTPx6KOPIjs7G4sWLfIoGn3sscewcOFCnH322bjqqqswePBgXHzxxZo2PpFFMgDxdZVdbwxAiCjZyRkQFQFIMBek81gFNcQMiL2dczQc/TsywxJ4P2+JlAEJqgYEaM1uPPfcc21uHzt2LMaOHSv/fPzxx+O1114Lr3VJLNYZEK4DQkTJTsqAqBmCCSYDciCEVVC929FeBkQOQILOgLi34z0ASfxqpgSlDEByc3PlbQ7BEBFpQ8oyqBmCiU4GxD08EqgGRAgh14BkBpsBUS5ElmwroZI2ampq5G3WgBARacvpFGg5+gWseQakxr2t9kJ0gPoaEEcz5LaHkwFpr9A11hiAtOPNN9/EzTffjH379ml63HgagmEAQkTJRu2F6CRBZUCOuFcXDbUGJFBw0OD+CGcNSKqqqqrCVVddBQAoLy/H4sWLNTt2rAOQtLQ0mEwm2O12BiBElHSUQYSaItRQZ8EEFYAovnEDTfVtUHz0h1UDwiGYxLVjxw55e8mSJZoeWwpAdDqdx6JgWgYgaWlpMBj8x5jSMAyLUIko2ShnmahbB8Rdn9FeBiSUC9EBnoGQ2gxI0DUgCZQBYQASBC0v1iMFIDk5OR6rz2kZgPjLfkikAIQZECJKNsEOwYS8Dki2+japrQGpDycDkkBXw2UAEoB3ZmDXrl2aHVsqQlUOvwCty9LrdK2RuHIoJRgMQIgo1dmCzIAoMw317fztJ2VAsqwuj7qO9rAGxBMDkAC8A5Cff/5Zs2MrMyBKOp1OzoJEOgMiFaI2NDRACHWXeiYiSgTBZkCCCUCOHP2bLdsaXFZcbQbEswZE/TLsAAOQpOGdGdi4caMmx7Xb7fIF47wDEACaBSDeFwn0JmVAnE4nmpvjfL4WEVEQ7EEWoWa5Jwairp2yOClDYTUGGYCoXAlVsxoQZ3z/YckAJIBIZUD8zYCRRCsDwrVAiChZhTcE4/+LWwiBRikAMQf3Ba+c6ttg8/9YjxoQDsGkJgYgRESJKdghGLUZkCY7II1YW03BBSDKGTP7q/3vF9Y0XBahJgfvL+VNmzbB6Qx/YrW/Zdgl4QQgLS0tchvV1oAADECIKLl4ZkDar6NQWwOivM9iCm4IpnMH9/a+QAGIsgiV14JJTd4ZELvdjvLy8rCP628ZdokUgNhstqCLQ9UsQiZhBoSIklWkMiDK7ESwGZCCHEBadSFwAOI+LtcBSVG+FujSohBV7RAMEPxU3FADEC5GRkTJJNgiVOUXfV2ADIgyO2EJMgBJS9PJwzB7D/nfT7MaEK6Emrh8ZQW0qANpLwBRBgb19fVBHZsZECKi4ItQlUMdgYZglAGINcghGADolNf6/75q+M1wh1MDYmQGJDnEKgOirAtR7qtGMAEIa0CIKFkFOwSTlqaD9ehHptohGIsx+GmuUh1IcwtQXefnHBrVgPBquAnMVwBSUVER9nHbC0CUtynrRdRgBoSIKPgMCOCuA1GfAQk+AOmkLEQ93P45gq0BycsCji6mjUUrgT0H43ctEAYgAfgKQLSolVAGFb5mwUQrA8IAhIiSVbAZEADIOvplHzADogxAzKEPwQDAXj8BSDg1IPk5Olxxbut2dR1w/ZMible6ZgASgPJLWfoyD3VtDqV4zICwCJWIkond4f7SVVOECgCZKjIg9WHMggGAzh3cU4L9zYQJpwYEAGbeppOHej75Fnjr0+CPEQ0MQAKQvpR1Oh06dOjgcVs4WANCRBRZIQ3BHM02OJoBR3P7BaLBrgMCBDcEYzK21qYEKz9Hh1l/dj/u1U+YAUk4UrBhtVrlbEE0ApBwMiDKDA2HYIgoVYUyBOMxFdfPR324NSDKxcj2HvYT5NjatidYF5ylk/t9JE4/3hmABCB9KVutVjlboGUAkpaW5hEESFgDQkQUHmUAEmwRKuB/GEa5SFiw64AAnjUg/oZgpHOHMvyiJF38Ll5nwzAACUCZAZECELvdHvZy7FJQkZOTA52ubXqNNSBEROFRDsGYTf73U1KVAfGoAQl+CKZzvnvb32JkDRoFINKU3HhdD8TQ/i6pS/pSzsjI8KiXaGpqQmZmZsjHlYIKX8MvADMgREThsocxDRcIlAFxb4eyDkh+NpCWBjidvjMgQgj5HMHOgPEmLUrm8ApAlm0Q2HsIyM4Ahg4I7xzhYADihxDCZwYEaA1MQg1AhBAeGRBfopUBYREqESWrUIpQo1EDotfr0DFXoOqQ72m4Nof7arvh1IAA/odgnnlP4L9ft27/9kF45wgHh2D8sNvtcLla02u+ApBQ2Ww2NDe3vhqYASEi0p4QwnMIRu06IFb3kLjfDEiYQzCAeybM/mrA5fIMYsKdgquUntb6v/c1YZTBVbYVMcMAxA9lkOE9BBNOANLeDBigNXBIT28NXSOZAVFe9I4BCBElOrtD4PVFAgOvEVj4vft2teuAqLkirsc6IObQprdKM2FanG2XY6/XMADxlwGpPdo3vR7y8vOxwADED2WQoWUGRE0AotPp5CxIJDMger1e09k9RESxtHQtMPlRgR/LPW8PZRpupGpAgMCroYazDLs3f0WoUnCVZXUv2x4LDED8UGYEtAxAamtr5e3s7Gy/+0nBSSQzIIC7DoQZECJKdGNOA/qUeN6m0wGGNHWPV5MBkYZILKbWDEIoPKbiegcgYSzD7s1fEWrt0Y/7WA6/AAxA/PLOgCiHK8IJQJRf9IEKWZUZkGDW8Q82AJHqQBiAEFGi0+t1uHOC55/0pnT4XO7AF88i1MCLhIUzPNI5392eQBkQrYZgXC7A6XT3R5kBiSUGIH5EqgbEO7DxR8qAuFwu1NfXqz4+AxAiSmV/GA3kK0a3lcWo7QlmGm44wUGgxcg8a0DCGx9JV8xzlYZhnE4hnyO77TqYUcUAxI9AQzDhXJBObQAS6kyYUAOQxsbGuL1iIhGRWlazDjddFNpjg5mGG87wiMdy7Ie8ZsFoWANiVAQg0jCMMsDJCvP44WIA4kekilCVgY2vZdgloa4FEmoNiBDC47FERInqpovcmQPll3172suACCHQqEUGRNGm/TWe92lZA+IrA+IxBZcZkPgU6yGYaGdAAA7DEFFy6Jyvwwt36NCjCHhkqvphjPYyIE129yJh4QQgykCnwevvPk1rQJQZkKNTcWsV/Yp1DQhXQvUjUhmQYGtAgNAzIMrCWX+8A5CCggLV5yIiilc3X6LDzZcEV0PRXgakXqPshEVxbZome4BzaHQtGMA9BBMvi5ABzID4FalpuKEMwYSaATGZ2r8CEzMgREStjOk6+Uu7zkcAotUqpcp1SbyLZJVX280MM0AwKpagl4ZgahUf87HOgDAA8SPWGZBwh2DS09ORltb+5Het+kVElAykL2VfQzAewyPhZEAUAYh3BkTLpdh9FaF61oDEcBUyhDAEU11djRkzZmDNmjXo1KkTpk2bhsGDB7fZb+LEiaiqqpJ/ttlsuP3223HllVeG1+IoiXUNSLBDME1NTThy5IgcgKip/wCYASEiUsqyAodrfQ/BaFWfYTDokJYm4HT6yoBocw7AdxFqQteAPPbYYygsLMTSpUvx/fffY9q0aViwYEGbVT3fe+89ebumpgZjx47FsGHDwm9xlMR6CCaYDIjD4cCJJ56I8nL3+sMMQIiIgicVovrMgGiYnbAYW4OcgDUgGl0NF3AXocZTDUhQAUhjYyOWLVuGjz/+GGazGcOHD8fbb7+N5cuXY/z48X4f9/nnn6Nv374oLi72eb/D4YDD4RkGGgwGGI0qF/APgnSFW+l/f5Rfxmaz2eMLvaGhod3Hqz2uv+NkZWXJ29XV1W32U/Zj3bp1HsFHe8dWUgZWdXV1IfcrVGqfj0SQLH1hP+JPsvQlEfohrY3RaAOam11QjmTX+bgSbqh9MR8NQGwOz2N4XOzOJNpcLTcYyiXobY7WYx1RrGuZYREReU70KteoDyoA2bVrFzIzMz1mSvTq1Qvbt28P+LhFixZhzJgxfu+fO3cuZs+e7XHbhAkTMHHixGCaF5TKysqA9x84cEDerqmp8VjK99ChQ6ioqAjpvIcOHfLY9vdEKQOVPXv2+D1fZWUltm7d2ub2tLQ0VW1ULqpWWVkZcr/C1d7zkUiSpS/sR/xJlr7Ecz/SdB0BtEYhm7btQpbFHQBUVFoBFAIAHLYaAKH3JT2tKwAD6htbUFGxW779UI37/IcO7EJTbegBSFNDLoDW4fzfdu9FRbYdv+1139ZUtxeVla0pGC2fk+7du6vaL6gApKmpqc2wQUZGRsClwvfs2YONGzfiiSee8LvPlClTMGnSJM+GRTADUllZieLiYtVRWq9evZCfn+9xW2lpaUjnV6422rdvX7/Xg1FmQJqbm9ucT9mP9PR074cjKytLVRuVWSmLxRJyv0IVyvMRr5KlL+xH/EmWviRCPwoVi4R1KChBkWJlAsvP7u2uXXIB1IXcl0wrgMNAs9Pg8bmrTHj06VkS8gXvAKBQ0fa8/M4oLQV0im/9Xj06o7g4ds9JUAGIxWJpUyfQ0NAQcL2JxYsXY/DgwejQwf9ydEajMSLBRiB6vT7gL1uZGcjMzGxTAxLqE+Vd3OrvOMoakNraWr/76fV6nzUi+/btU9VGZaDT1NQUsw+F9p6PRJIsfWE/4k+y9CWe+5FldQ9FNNh00Ovd2e9GmwAgju7X2v5Q+2I5OoTTZPccsqi3td5uNQMGQ3i/I6PB3V6nq7Uv9U3u/uVk6ORzx+I5CepsJSUlqK+vx8GDB+Xbtm3bhh49evh9zOLFizF27NjQWxgj3rNVdDqdHGhpMQvGZDIFnCZrMBjk7Eh7s2Cqq6vb3LZ//35V7VEGVixCJaJUlxVgNVQtZ6hIa4HYHJ6ZcanQNdzjA76LUJXrgCTUUuxWqxVDhw7FrFmzYLPZsGzZMpSXl2Po0KE+99+yZQuqqqowfPhwLdoaVVKgoNfr5QW9pC/rcC5GJ33JB5oBI5GyIO3NgvEVoFx++eWq2qNsB9cBIaJUp1yO3XsqrnKRsLBnwSjWibQr5mBIha5aTJFN97EUe10cTcMNOt8ybdo07Nu3DyNGjMDMmTPx6KOPIjs7G4sWLWpTNLp48WIMGzZM1ZLg8UYKFKTsh7QNaJMBCbQGiERaCySYDMg//vEP3HrrrXjkkUdUtYcZECIityyre8ilTQZEwymy/lZDrdcwAFEuRNbsbP1fWgckLc0zCIqFoNcBycvLw3PPPdfm9rFjx7YZarn99ttDb1mM+QoUtAhAlIFNe6QMSGNjI5qbm30WmwKeAcjvf//7oApJuQ4IEZFb4AyIe1vLDEiTHcjNAppbhJwN0SQACTAEk2UBdDqdx/BPtMVnFVAckIIM5Re0lhkQNUMwaq8HowxA8vLygmoPl2InInJTfvFHowYEAJocbc+XqcHAga+VUKVzxLr+A2AA4pevTIW03dzcjObm5qCPqXycmgyIcnXZuro6v/tJAUhaWprHrBY1mAEhInILdEVcTVdCVWRAbD4CEK2HYBxeS7HHuv4DYADikxAi4BAMEFohqtrrwEiUtTOBzicFILm5uR4LpqnBIlQiIjdlZqCm3nN4Qstl0j0yIPa2x8/SOAPiaAacToHGo1mcWC/DDjAA8Ul5SXt/AUgoX9bea4C0RxmAKNvkTQpAgh1+AdBmiXkiolRW4B75xoEaz/uUQzDWMAs4LT6KUCOZAWluia8ZMAADEJ/8BQpaBiBqMiDK4MBfBsTlcsn1IaEEIHq9XpPaFiKiZFCY695uE4Ac/Ri2mIAAyzip4l2ECmhfA+JRhOoVgLAGJE55XwnX13YoX9b+juuPmgzIkSNH5CrmUAIQZVuYASGiVBcwADn6MazFImFmo3u4XMqAeAzBWIMbTvfFswhVyPUfrccP+/BhYwDig79MRbSHYNRkQMKZAePdFmZAiCjVWc06ub5jv9ci03IAokF2or0MiOZFqM1eGRAGIPHJX6CgzEhEewjGXwZEywCEGRAiIqBjbuv/B7xWP9A2A+Le9lUDovU0XEeL5zLszIDEKeWUVy1rQCIxBKNFAKIcgonlojRERPFAGoY5XAu0tLR+JgrhnkGiRQASlQyIogbEuwg1OyP8IZ5wMQDxQbnol3IxsGQfghFCwG63h3QMIqJkIQUgQgCHalu3m+ytPwPaDMH4yoDUN7n/AIzEOiC1HIKJf2oCkGivAxKNDAjAYRgioo6Kj1KpELVew0XIgOhkQLxXQuU03AQQqQyI8stdqwyIsq3hZkAAFqISERX6WAtEuQqqFvUZPmtAND6H97VglDUgnIYbp6IxBMMMCBFRfCrMdddHSDNhtLwODOCdAWkdetE8A6JYq6R1HRBth3jCxQDEh3gJQIKtAZGunhssZkCIiNx8DcF4BCARqwFx3xaJIlTWgCSAeBmCiVYGhBekIyJyUy5Gtr+mNWug5YXogOishOp9LRjWgCSARM2AcAiGiCh87WZAzOFPYQ20DojJCKQbwj+Hx7VgnPFXA2Jof5fUEy8BiJoMSE1NDQBAp9MhOzs76DYBHIIhIlLytRx7vcYFoh4ZEK8hGC2uhAu0LUJtbnH/HA8ZEAYgPtTW1srbyi/1eJwFI2VAcnNzodeHltBiBoSIyM1jCMZXEarWNSBeQzBaBQfeK6FKAUhamuf5Y4VDMD5IGRCr1Yr0dHcIGY8ZECkACXX4BWAGhIhIyWLSyVkOX9NwNa8B8RqC0SLDArRmxg1HZ8I0t7j7kGFuvS/WGID4IAUgyuEXIPxrwQS7FHt7GRCXyyUPwYQTgDADQkTkScqCSNeD0XoarncNSEuLkGtBtBwekbIgjmZtr2WjBQYgPkgBiHdNhZYZEGUw4097GZD6+nq4XC4AzIAQEWlJCkAOHWkNDhps7jU0tBiCSTfokHY0O9Fk134KrkSqA2luYQAS95xOp3wxOu8MiMlkktNW4QQgVqtVVfrLYDDIdR2+MiDKWhWtAhBmQIiIPGfCHKrVfiVUwJ0FsTm0n4IrkWbCOJQBiIbHDwcDEC/KK+F6ByA6nU7OgoQzBKNm+EU6n5QF8ZUBkYZfAKBDhw5Bt0cSbmaHiCjZeM+E0XoIBgAsRwOQJrvnMuyRGIJpsgP2o0M8zIDEKX9TcCXSl3U4F6NTMwNGItWB+Drf/v375e3OnTsH3R4JMyBERJ6U14PZX+11MTqNMyBN9sgtEiZlQGrq3bcxAIlTagOQ+vr6Nve1RzkEo1agDMiBAwfk7S5dugTdHgmLUImIPHXMcw+TH6jRfhYM4J4JY3NErgZEmQGRWBmAxKf2ApCsrCwAwQcgQoigh2AA9RmQcAIQFqESEXnyXI49MkMw/jIgmRbtpsgqFyOTMAMSp9oLQDIzMwG0BgROp1P1cR0OhzxjJZghmEAZEK0CEGZAiIg8eS7HLjwCEK0yCMoMiHKZdK1WQgU8l2OXsAg1TqnNgADBfVkHuwiZRMqA2Gw2CCE87lMOwYRTA8IiVCIiTwWKj/+DR9xDMFYzoNdrk6FQrgVyyD2pMSJDMErMgMQptRkQwHPGTHuCXYRMImVAXC4XmpubPe5TZkA6deqk+pje0tLS5ECHGRAiIiBfsQzUoSORWUNDuRrqgRr3H5iaTsPlEEziUK6t0V4GJJg6EGVmIZRZMEDbYRgpACkoKIDRGN7C/uFMLyYiSjYdFAHI4Tp3kaiWX97KDIi05DugcQYkre1tGRrWmISDAYgXrTMg9fX1mDx5Ms4//3z5tlCGYADPQlQhBA4ePAggvPoPiRQUMQNCRNR6uXrpOioeGRANsxPKDIh00TsgMiuhKsVLBoRXw/USTA2ImgzIf//7X7z++uset4UyBAN4ZkCqq6vhcLSuKqNFAMIMCBGRm06nQ4dsgf3VrTUgjUc/frUcHolGBsRnEWqcBCDMgHjROgOyd+/eNrcFs2qpvwxIVVWVvM0MCBGR9joc/XtzzyH3bZGrAXFvaxnk+CxC5SyY+KR1BsR7n7POOgt/+MMfVLfHXwYkUgFIS0sLvvzyy5AWWiMiSib5R78ClCsuRKwGxP3VkzJDMAxAvESiBkSyfPlyrFixAqWlparbE60MiHJY6JxzzkFOTg6uueaasI9LRJSo8rPb3hapGpAjir/5OA03RUkBiNls9jmzJNgMiDJIUT5WLX8ZEOXQjpYZEInL5UJ+fn7YxyUiSlQdfAUgWg7BGNvORkk3AMZ0DVdC5RBM4pACkOxsH688hJcBUT5WLTUZkHAWIZP4Kow944wzwj4uEVGi8pUBiVQRqkTL7AeQZEMw1dXVuP3221FWVoZLLrkEq1at8rvvRx99hIsvvhhnnXUWLrvsMlRUVITV2GiQAhBfwy9AeDUgoQQg0a4BUTr99NPDPi4RUaLKz2mbiYjUEIxE6wDE5zogcRKABD0N97HHHkNhYSGWLl2K77//HtOmTcOCBQvaZAyWL1+Ot956C08++SR69OiB3bt3hzQEEU0ul0teiMxfABJsBiTcIRh/GRCth2C8MyAlJSUoKioK+7hERImqg4+P7AyzdsMjvjIgndVPklTFZwYkToZgggpAGhsbsWzZMnz88ccwm80YPnw43n77bSxfvhzjx4/32PfVV1/FXXfdhWOPPRYA0K1bN7/HdTgc8poWcsMMhrBX9/RFuiCc9L9SbW2tfL2VnJwcn/soMwV1dXU+91GSMiA6nQ4mk6nd/b2ZTO4QubGxUX68lAHJysqCxWIJ+rjevAOQ008/PexjqhHo+Ug0ydIX9iP+JEtfEq0feT4CEKtJwOUSmvTF5OMrbvBx2v5+DD4yIBZjax+AyDwner26wZWgApBdu3YhMzMTBQUF8m29evXC9u3bPfZzOp3YsmULfv31VzzwwAMwGAw4//zzcd1110Gnaxs9zp07F7Nnz/a4bcKECZg4cWIwzQtKZWVlm9v27NkjbxsMBp9DRjU1NfL2/v372x1Wqq5uXd7OarX6PGd7lOty7NmzRz6fFIAUFBRoMrTlHQD26dMnqkNmofxu4lWy9IX9iD/J0pdE6UeLzQTAs8bO1nAIFRXuofVw+lJ3xAKgo8dtxxYeQEWFdgtCNjbkAMj1uG3/3gp4xwhaPifdu3dXtV9QAUhTU1ObWoGMjIw2tRCHDx+G0+nE6tWr8e6776KhoQG33XYbOnXqhAsuuKDNcadMmYJJkyZ5NiyCGZDKykoUFxe3idKU/ejSpYvP6bLK4MvlcrU7pVaq28jKygpq+q1EmTmyWq0oLS1FQ0OD3Nbi4uKQjuuta9euHj+PHTtWk+O2J9DzkWiSpS/sR/xJlr4kWj9qmtveVtItH6Wl+Zr0paTtOpUYP6wQpeGPqss6Fnj+bDEB3bu7P9tj+ZwEFYBYLJY2K2U2NDR4FEoC7mGDq6++GllZWcjKysKECRPwzTff+AxAjEZjRIKNQPR6fZtftrJeIzc31+eTkZmZCZ1OByEE6urq2n3CpEAhKysrpCdXOTRis9mg1+uxb98++bYuXbpo8qLxLpA95ZRTovpi9PV8JKpk6Qv7EX+SpS+J0o/CXAFAeNyWZdVBr3dn8sPpi9XkefyOeUCPIp3PkYJQGdM9z5Fh9j1EEovnJKizlZSUoL6+Xr4IGgBs27YNPXr08NgvOzsbhYWFHrdJtRXxrL1FyIDWWg7pyzqYWTChzIABfM+C0XoGDND2GjDRDgiJiOJNxNcB8ZoFc3o/aBp8AG3XAYmXAlQgyADEarVi6NChmDVrFmw2G5YtW4by8nIMHTq0zb7jx4/HG2+8gYaGBhw4cAAffPABzjrrLM0aHglqAhDAHUy0NwvG4XCgubnZ4zHB8jULZs6cOfJtWg2TKGcxnXDCCZock4gokVnNujYzVbT8Avc+9unHaxt8AG1XQo2XKbhACOuATJs2Dfv27cOIESMwc+ZMPProo8jOzsaiRYs8ikanTp2KgoICjBs3DldddRXOOeecNjNl4o0yoPC3EBngnk7bXgYk3Cm4QNsMyIoVK+Sr62ZlZeF3v/tdSMf1NmHCBJx00kno2rUrPvzwQ02OSUSU6PK9/haNdAZEa97TcOMpAAl6HZC8vDw899xzbW4fO3Ysxo4dK/+cnp6Ov//97/j73/8eXgujSFoDBAgcMCgzIEIIvymzcBchAzwzIHV1dbjpppvkn//85z+jU6dOIR3Xm9Vqxdq1awFonwIkIkpUHbKA3QfcP0dyJdRBfbU7tsR7IbJ4GoIJOgBJZmozFtJ9TqcTdrvdI0hQ0iIAUWZA3nrrLXl70KBBuOKKK0I6pj8MPIiIPLXJgEQwAMmyav8ZHM8ZkPgvQ44itQGI2tVQtRiC8Rfc/P3vf0damo8VZoiISDPe14PR8gu8Yx5wcu/W7SdujMwfgG2KUOMoAGEGRCHYDAjQmuXwnvGjvE+iRQZEqXfv3iEdj4iI1FPOhNHpfF+/JVQ6nQ7fvgTsqAL6lGh3XKU2RahxNATDDIiC1hkQrWtAlIqLi0M6HhERqafMgFjN2g9Vm4w69C3Vdu0PJQ7BJIhQMyBqjhdqAGI0Gtu8MPPz89tcu4WIiLSXn+3+/NWyADVakmoabjKLZAYk1BoQnU7XJgtSUhKhXB0REXlQDsHE05e3Wm0XIoufyQYMQBSkYMJgMHhchdab2gyIFkMwQNs6EAYgRETRkZ/oAQiHYBKDFIBkZWUFHI8LZRZMOAGIdwaE9R9ERNGhnIYbTwWcarVZB4QBSHxSBiCBhJIBCXUIBmgbgDADQkQUHcohmESsAWmTAYmjPjAAUVAbgERzFgzQdgiGGRAioujo3AGQLhLbMTemTQkJi1ATgNPplK8Iq1UGJFJDMMyAEBFFR4dsHf5xvQ7DBgJ//n38FHCqxYXIEkAwwyXRnAUDMANCRBRLd1+uw92XJ17wAXAIJiEEs2x6tGfBeGdAunTpEvKxiIgodXgPwVg1XMk1XAxAjgomAFEGE2oCEL1e73dFUzWUGRCLxQKDgYkrIiJqX9t1QGLTDl8YgBwVagZEzTTczMzMsJbZFULI2/6uO0NEROSNRagJIJIZkHDqPwDg4MGD8jYDECIiUosLkSWAYAKQ9PR0eaVUNUWo4dR/AMCBAwfkbQYgRESklsF7ITIOwcSfYAIQwB1U+MuACCE8hmDCwQCEiIhCodPp5GGYdAOQboif2TwMQI4KNgCR9vGXAbHZbHC5XKqPF0jXrl3l7V69eoV1LCIiSi3SMEw8Db8ADEBkoWZA/AUgWk3BBYBXX30VRqMRRUVFuOOOO8I6FhERpRbpejDxNPwCMACRhRqANDU1wel0BjxeuAHImWeeiT179mD79u1hZ1OIiCi19Dm6eHa/0ti2wxsXlDgq1AAEABobG9s8RqtVUCX5+flhH4OIiFLPW3/X4T/Lgd+dE+uWeGIAclQ4AUh9fX3AACTcDAgREVGoenbT4S9XxLoVbXEI5qhwApCGhoaAx2MAQkRE5IkByFHBBiAZGRnytq+puNXV1fI2AxAiIiJPDECOCncIxtvatWvl7T59+oTZOiIiouTCAOQoKQAxm82qLvbWXgDyzTffyNtnnnmmBi0kIiJKHildhOpyubBo0SKUlJTIAYjaGSvKIRjvGhCbzSZnQHr16sXVS4mIiLykdAAyb948XHvttbBarWhsbAQAZGdnq3psoAzI2rVr4XA4AABlZWUatZaIiCh5pPQQzF//+lcAkIMPQH0GJFAAohx+YQBCRETUVkoHIFartc1tWgQg3377rbzN+g8iIqK2UjoA6du3b5vbwq0BEULIAUheXp7PcxAREaW6lA5ApKvVKoWbAdm2bRsOHDgAoDX7oden9K+YiIjIp5T+dvR1JdtwAxDl8AvrP4iIiHxL6QDE1/od4QYgP/zwg7w9ePDgMFpHRESUvBiAeAm3BmTTpk3ydr9+/cJoHRERUfIKeh2Q6upqzJgxA2vWrEGnTp0wbdo0n3/pz5gxA0uWLJFXFe3SpQvee++98FusIV9DMBaLRdVj/WVANm/eDADIyclB586dw2whERFRcgo6AHnsscdQWFiIpUuX4vvvv8e0adOwYMECnwt4XX/99Zg8ebIW7YwIXxmQHTt2qHqsxWKBTqeDEEI+TkNDAyoqKgAAxx13HHQ6nXaNJSIiSiJBBSCNjY1YtmwZPv74Y5jNZgwfPhxvv/02li9fjvHjx4fcCIfDIa8cKjfMYIDRaAz5mP5IM19sNlubcwLAqFGjfM6O8cVqtaKhoQENDQ1wuVwewy99+/ZVfZxQSMeO5DmiIVn6ASRPX9iP+JMsfUmWfgDJ05dI9EPt7M+gApBdu3YhMzMTBQUF8m29evXC9u3bfe7/5ptv4s0330RpaSluueUWnHzyyT73mzt3LmbPnu1x24QJEzBx4sRgmheULVu2yNtnnHEGevfujbS0NPTv31/OYrTHYrGgoaEBNTU1qKiowIoVK+T7OnXqpPo44aisrIz4OaIhWfoBJE9f2I/4kyx9SZZ+AMnTFy370b17d1X7BRWANDU1eRRfAq3FmL6GMn7/+9/jrrvugsViweeff44777wT7777rs+6iClTpmDSpEmeDYtgBqSyshI5OTnybUVFRXjttdeCPlZOTg4OHjwIm82G0tJSHDx4UL7vjDPOQGlpqSZt9kXqR3FxcUKvNZIs/QCSpy/sR/xJlr4kSz+A5OlLLPsRVAAi/cWv1NDQ4LNwU7kC6NixY7Fw4UKsXLkSF154YZt9jUZjRIKNQJT9yM7ODukXLxWi1tfXQ6/XywWoAHD88cdH5cnU6/UJ/eKXJEs/gOTpC/sRf5KlL8nSDyB5+hKLfgR1tpKSEtTX13v8pb9t2zb06NGj3cfGW0GmMmujnNESDCkbZLfb0dLSIteAmEwm1SkoIiKiVBRUAGK1WjF06FDMmjULNpsNy5YtQ3l5OYYOHdpm36VLl6KpqQktLS349NNP8cMPP+DUU0/VrOHh0iIAUT6upqYG27ZtAwC5noSIiIh8CzrfMm3aNOzbtw8jRozAzJkz8eijjyI7OxuLFi3yKBp95513MGbMGJx77rl4++238cQTT6CoqEjTxodDuQaI2sXHvCkDkB9++AEtLS0AWqfgEhERkX9BrwOSl5eH5557rs3tY8eOxdixY+Wf58yZE17LIkzrDMiaNWvkbQYgREREgSV+5UyItKwBATwDEGUBLhEREbXFAATaDMGsX79e3mYAQkREFBgDEGgzBKNcwj2S638QERElAwYg0GYIRlrG1mq1Ijc3N6y2ERERJbuUDUC0ngUj6datW9yteUJERBRvUjYA0XoIRtKtW7eQ20RERJQqUjYAiWQGhIiIiAJL2QBEeS0YLWpAJAxAiIiI2peyAYg0BKPX631eTE8NZkCIiIhCk7IBiDQEk5mZGXLRKAMQIiKi0KRsACJlQEIdfvH3WAYgRERE7WMAEkYAwhoQIiKi0KRkACKEkIdgQp0BA7QNXoxGIwoKCsJqGxERUSpIyQDEbrfLK5eGkwExm83Q692/wq5du3IRMiIiIhVSMgDRYgouAOh0Oo9hGA6/EBERqZPyAUg4QzCAZwDDAISIiEidlA9AwsmAeD+eAQgREZE6KR+AMANCREQUfSkZgDQ2Nsrb4WZAWANCREQUPEOsGxBNDocDkyZN8sh6cAiGiIgo+lImAHG5XJgyZQrmz5/vcXu4QzBFRUUAgLS0NHTv3j2sYxEREaWKlAlA7HY7Dh061Ob2cDMgf/nLX1BTU4Nzzz0XhYWFYR2LiIgoVaRMAGKxWPDxxx/j2muvxZtvvinfHm4A0qdPH3zwwQfhNo+IiCilpFQRanp6OubOnYsbb7wRQGtQcuaZZ8a4VURERKknpQIQoHX10rvvvhubN2/Gjh070KlTp1g3iYiIKOWkzBCMt169enlcx4WIiIiih9/AREREFHUMQIiIiCjqGIAQERFR1DEAISIioqhjAEJERERRxwCEiIiIoo4BCBEREUUdAxAiIiKKOgYgREREFHUMQIiIiCjqGIAQERFR1DEAISIioqhjAEJERERRxwCEiIiIok4nhBCxbgQRERGlFmZAiIiIKOoYgBAREVHUMQAhIiKiqGMAQkRERFHHAISIiIiijgEIERERRR0DECIiIoo6BiBEREQUdQxAiIiIKOoYgBAREVHUMQAhIiKiqGMAQkRERFGXVAFIbW0tDh48GOtmhK2hoQE2my3WzdCEsh+JfN3DQ4cOYcuWLQASux979+7F/Pnz0dTUFOumhI3v9/iSLO91gO/3aDHEugFaefLJJ/HVV1+hsLAQo0aNwpgxY5CXlxfrZgXt8ccfx7fffouuXbvioosuQllZGaxWK4QQ0Ol0sW5eUJ566ils3LgRRUVFuPTSS3HSSSfFukkhqampwfjx4zF48GDce++9KCgoSMjn48UXX8S///1vjBo1CmeffTZMJhP0+sT8G4Tv9/iSLO91gO/3aIqv1oTo2WefxebNm/Gvf/0Ll156KVauXIlffvkl1s0K2ltvvYVNmzbh5ZdfxqmnnoqPPvoIb775JgAk1Iv/119/xZQpU7Br1y7ceeedyMnJwT/+8Q/U1NTEumlBE0Kgvr4exx57LHJzc7Fo0SIAifV8AMDPP/+MjRs34r333sO9996L/Pz8uPswUovv9/iRTO91gO/3aIu/FqnU0tICAKirq8Pu3btx8cUXIysrC+PHj0djYyMOHz4c4xaq43A4AAAulwt79+7FGWecgS5dumDy5Mk477zzsGXLFixcuFDeJ57Z7XYAwOHDh9GrVy/MnDkTJ554Iu6++27YbDZ8/fXXAOI/pSk9J06nEzqdDjqdDkajEd27d8fWrVuxadMm+f54JvUDALZu3YqcnBx06dIFGzZswDvvvIN169ahvr4eQOI8J7W1tQn9fq+rqwOQ+O/32tpaAEB1dXVCv9cB93OS6O93qR9A4rzfEy4Aqa6uxiOPPIIvv/wSAJCVlYXq6mrs2bMH+/fvh8PhQEtLC2w2G3bu3CkHKvGmuroa999/P1577TUAgF6vR1VVFYxGo7zPGWecgf79++PLL79EfX19XEawQNu+DB48GJdffjkA97hwnz595PbH618TUj/mzp0LAEhLS4MQAnV1dRgwYADOOeccpKWl4auvvpLvB+LnzSzxfj4AYP/+/ejZsyf++9//4o477sCOHTvwj3/8Ay+99BJqa2vj/jmR+pKdnZ2Q7/eamhrcfffduPLKKwG0vt/37NmTcO93qR9/+MMfAACnnnoqfv/73wNIrPc60PY5SUtLg8vlSrj3u3c/AGDfvn0J8X6Pv1d4AC+//DIuuugiNDU14eyzz5Zv/9Of/gQhBKZNm4Zhw4ahsLAQ69atw7PPPoslS5bEsMW+LVu2DBMmTAAAnH322XKB0MiRI/HGG2/I++Xk5OCEE06AwWDAhg0bYtHUdin7cs4558gfQt27dwcAmEwmAK3FUEVFRbFppArKfgwfPlz+i1un08FisWD9+vXo2rUrhg8fjsrKStx///3497//Le8TL7xfW9Lz0a9fP8ybNw8bNmzAv/71L/ztb3/DtGnT0NTUhI8++iiWTfbLuy+NjY0AEu/9/tJLL+HCCy9EQ0MDcnJysH79egDAqFGjEur97t2PH374AQDQo0cPAInzXgfa9uXHH38E0BoYJtL73bsf0usmUd7vCVOE+te//hVffPEFPvnkE3Tq1MnjvuOOOw7du3fH/v37cfnll2PkyJGw2WyYOXMmfv31V7S0tMBgiJ+ubtiwAVOmTMGkSZM8bh8zZgxeffVVvPjii7j55psBtPZt7969cZuO9dcXAHLh1s6dO+FyudCrVy/5PqfTKf9FEQ8C9aO6uhqnnnoq0tLScODAAaxcuRJmsxnnn38+gNZUebz8teqvH0OHDkXfvn2xfPly+bV1wgkn4Msvv0RtbW3cPR+A/75I7/d9+/bF9fu9rq4Od911F5qamvCvf/0L+fn5uPPOO+W2jRkzBq+99lrcv9/99cP79ZII73V/fVG+f48cORL37/f2npNhw4bhuOOOw4oVK+L6/R4fn5oqXHrppcjIyECnTp3w66+/4sknn8SCBQuwbt06AK1jkv/73//Qp08fAIDZbIbNZoPFYomLDyNJTU0N1q5dizFjxqCiogI33XQTnnjiCcybNw8AMG3aNLzxxhvyFLCMjAxYrda4nEbVXl+kvxS2bt2Kzp07IyMjAz///DPuu+8+uX/xoL1+ZGdn4z//+Q+mTp2Kd999F+PGjcPxxx+PXbt2AUDMP4wk/vohDSndfPPNqKurw2+//QYhBIxGIxobG5GVlRUXH0ZK7T0njY2NWLhwYVy/341GI+677z689dZbKCoqgslkwsGDB7F27Vp5n7vvvjvu3+/++rFmzRoAnrUq27Zti+v3ent9AQCr1YoPP/wwrt/val5bN9xwg1wjGa/v9/h4p3ppbGzEm2++icLCQpSVlSE/Px+DBw9Gv379cPrpp6NTp04oKyvDt99+i5deeglPP/00TjjhBJx++um47777cM0112Dp0qVYvXo1HnzwwbjpR0FBAXJzc5GVlYU5c+Zg586dGDhwIEpLS/Hss8/CZDLh8ssvxx/+8Ac89thj6NOnD2pqarB7926ceOKJMetHKH0xm80YN24csrOzsXv3bqSnp+Pxxx/HwoULcfnll6Nfv34J048zzjgDgwcPRlFREW644Qakp6fjtddeQ5cuXWLSh1D7cfnll+Pqq6/G888/j169eqGhoQEbNmzAxRdfHLN+hNIXo9GIK664AkOHDsX06dNx7bXXxuX7vWPHjujWrRucTidcLhfS09MxZswYOUug1+tx6qmn4oorroir93so/ZD+j6f3eqh9ycvLw0knnYTS0lJcf/31cfl+V9OPk08+GZMmTcLzzz+Pnj17xs37XUkn4qyiZv369bj33nvRv39/+a+AsrIyXHbZZTh48CAeeeQRTJs2DR07dgQAvPLKK1i+fDneeecd2O12vPjii6iqqkJWVhbuuusuZGZmxk0/hg0bhosuugjvvfcePvjgAwwZMgS33HILAOCrr77CO++8gyeffBIZGRlYv349vv32W9hsNtx0000x60eoffn3v/+Nhx56CPn5+ZgyZQo2btyI8ePH409/+lPCPCdffvkl3n//fUyfPh3Z2dmwWq3ysWKZhg33tfXTTz9h1apVqK+vx9SpUxPutfWvf/0LTz75JIxGY0K835VrSLz66qvYvn07HnnkEXmoyOVyYf369fjmm29i/n4PpR/Se0EIgWuuuQY///xzzN/rofTl4Ycfhk6ng9PphMPhgMVikY8Vr+93Na+tn376CStXroyL93sbIs689tpr4tFHHxVCCNHQ0CDmz58vLr/8crFp0yYhhBCHDx8WQghhs9mEEEJs2rRJXHzxxaKiokI+hnRfLPnrx86dO8WOHTvExRdfLP7yl78IIYRoaWkRLpdLnHvuueK7776Tj+FyuWLSdm+h9uXbb78VQgjx5Zdfys9fLIXSjxEjRoiVK1cKIRL/+VC+tuJFuK8tIeL7/b5161YhhBAOh0MIIcQPP/wghg4dKpqamoQQQjidTvkY8fD6CrUfzc3NQgghvvrqq7h4rwsRel/i4XlQ0uK1Fa9iPphVU1MjL1pjt9vx22+/obCwEC0tLbBarTj22GOxe/duvPXWWwAgr3YoVVxv2LAB/fv3R0lJiXxM6b5oUtOPyspKzJ07F8cccwwmTZqErVu34uuvv0ZaWhq2bt2Kfv36oXfv3vIxY1VtrVVfpEK04cOHo2/fvgnZj+OPPx49e/YEkPjPh/K1FSta9UWq/QDi9/2+e/duvP766wCA9PR0CCFQVFSE448/Xq45UP5VHYvXl1b9UBY/xuK9rmVfYj3LJRKvrXgVsxa6XC48//zzOO+88/DFF1/AbrfDZDKhY8eO2Lx5M3777TcArQHHoEGDcPDgQaxatQpA6xNUXl6Ohx9+GHPnzkVZWVmsuhFUPwYPHow9e/Zgw4YNuPTSS3HJJZfgiSeewB133IGpU6fipJNOQocOHZKmLwUFBUnRj1g9J8nSj2TqSzifW9IiV1IxYyxp3Y9YfmnzOYmvfgQjZjUgS5YswRdffAG9Xo+0tDRceeWV6Nu3L+x2O+655x7U19eje/fuWLZsGSZOnIjDhw/jtNNOw5AhQ7Blyxa8/PLLMBgMuOeee5Cfnx+LLoTUj0OHDuH000/HkCFDAABVVVXYsmULBgwYEPNrWSRLX9iP+OpHMvUlnM8tqY7gww8/xMiRI2M6Fp8s/UimviRLP4ISq7Gf+vp68eOPP4ra2lpx4403ijfeeEPU1NQIIYTYs2eP+Oabb8QLL7wg1q5dK4QQYvLkyWLx4sVCCCHsdrtcCxJrofRjyZIlsWyyX8nSF/Yj/iRLX8LpRzyNySdLP4RInr4kSz+CERdFqJ988om46aab5F+stx07dohbb71VVFVVRbllwUmWfgiRPH1hP+JPsvSF/Yg/ydKXZOlHe+KiSuW8885DVlYWVqxYgX379gFoHQ/bt28fHn30UUyaNAl9+/ZF586dY9zSwJKlH0Dy9IX9iD/J0hf2I/4kS1+SpR/tiXkAIq2iN2HCBPz888+orKwEAFRWVqK5uRnHHHMM3n33Xdx0002xbGa7kqUfQPL0hf2IP8nSF/Yj/iRLX5KlH2rExUJkUgHNSy+9hB9//BGbNm3C8ccfjyeffNJj8ad4lyz9AJKnL+xH/EmWvrAf8SdZ+pIs/WhPXCzFrtfrYbfbsWrVKlRUVOCGG26QL+eeSJKlH0Dy9IX9iD/J0hf2I/4kS1+SpR/tiYsABAAWLFiAHj16YNasWTFZWEgrydIPIHn6wn7En2TpC/sRf5KlL8nSj0DiYggGiI9LHGshWfoBJE9f2I/4kyx9YT/iT7L0JVn6EUjcBCBERESUOpI7vCIiIqK4xACEiIiIoo4BCBEREUUdAxAiIiKKOgYgREREFHUMQIiIiCjqGIAQUcIZNGgQBg0ahI8//jjWTSGiEDEAISKfpk6dKn/Rey8DXVNTg7KyMvn+559/XvPzf/zxx/LxiSj5MAAhonZt27YN69atk39esGAB7HZ7DFtERImOAQgRBWQwtF4y6t133wUAOJ1OzJ8/X75d6ciRI3jsscdw3nnn4bTTTsOoUaNw7733Yu/evfI+s2bNwqBBg3D++efjs88+w6WXXoqzzjoLf/zjH7Fz504AwIwZM3D//ffLj5EyIbNmzfI4X319PWbMmIFhw4Zh7NixePXVV7XuPhFFCAMQIgqod+/e6Nq1K7766ivs27cPy5cvx969ezFixAiP/ex2O6ZOnYr3338fBw8eRGlpKRoaGrBo0SJMmTIF1dXVHvvv378f9957L3Q6Hex2O9avX48HHngAANCtWzd07dpV3veEE07ACSecgE6dOnkc44UXXsD333+P9PR0HDhwAK+88gq+//77CP0miEhLDECIKCC9Xo8JEybImQ8pE/K73/3OY78lS5agvLwcAPDYY4/hvffew5w5c6DX63HgwAG89957Hvs7nU48/vjjmD9/vlxj8uOPP8Jms+G6667DddddJ+87b948zJs3DxdddJHHMXr37o2PP/7YIyOzevVqTftPRJHBAISI2nXhhRfCYrHgvffew5o1a3Dcccehf//+Hvv88ssvAACz2Yzhw4cDAPr27YvS0lKP+yWZmZkYOnQoAKBHjx7y7d6ZkkBGjhyJ9PR05ObmokOHDgCAw4cPB9c5IooJBiBE1K6srCyMHTsWDQ0NANpmP0I9piQtLU3eDuYC3b6OwQt8EyUGBiBEpMrEiRMBALm5uRg1alSb+/v16wcAsNls+OqrrwAAmzdvRkVFhcf9apnNZnm7qakplCYTURxrW8ZORORDz549sXTpUqSlpcFoNLa5f/To0Xjrrbewfft2/PWvf0VpaSl2794Nl8uFwsJCOYBR65hjjpG3J0yYgIKCAtxxxx0YOHBgmD0honjADAgRqZaTk4PMzEyf95lMJsyePVsOFioqKpCRkYGxY8di7ty5yMvLC+pcvXr1wnXXXYf8/Hzs3bsXP//8M+rq6rToBhHFAZ3ggCkRERFFGTMgREREFHUMQIiIiCjqGIAQERFR1DEAISIioqhjAEJERERRxwCEiIiIoo4BCBEREUUdAxAiIiKKOgYgREREFHUMQIiIiCjqGIAQERFR1P0/wZDAdb28xPEAAAAASUVORK5CYII=", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pred_list = model_air_milk.predict(n=36, series=[train_air, train_milk])\n", "for series, label in zip(pred_list, [\"air passengers\", \"milk production\"]):\n", " series.plot(label=f\"forecast {label}\")\n", "plt.legend()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The two series returned correspond to the forecasts after the end of `train_air` and `train_milk`, respectively." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Covariates Series\n", "\n", "Until now, we have only been playing with models that only use the history of the *target* series to predict its future. However, as explained above, the global Darts models also support the use of *covariates* time series. These are time series of \"external data\", which we are not necessarily interested in predicting, but which we would still like to feed as input of our models because they can contain valuable information.\n", "\n", "#### Building Covariates\n", "Let's see a simple example with our air and milk series, where we'll try to use the year and month-of-the-year as covariates:" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, 'Milk production covariates (year and month)')" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# build year and month series:\n", "air_year = datetime_attribute_timeseries(series_air_scaled, attribute=\"year\")\n", "air_month = datetime_attribute_timeseries(series_air_scaled, attribute=\"month\")\n", "\n", "milk_year = datetime_attribute_timeseries(series_milk_scaled, attribute=\"year\")\n", "milk_month = datetime_attribute_timeseries(series_milk_scaled, attribute=\"month\")\n", "\n", "# stack year and month to obtain series of 2 dimensions (year and month):\n", "air_covariates = air_year.stack(air_month)\n", "milk_covariates = milk_year.stack(milk_month)\n", "\n", "# split in train/validation sets:\n", "air_train_covariates, air_val_covariates = air_covariates[:-36], air_covariates[-36:]\n", "milk_train_covariates, milk_val_covariates = (\n", " milk_covariates[:-36],\n", " milk_covariates[-36:],\n", ")\n", "\n", "# scale them between 0 and 1:\n", "scaler_covariates = Scaler()\n", "air_train_covariates, milk_train_covariates = scaler_covariates.fit_transform([\n", " air_train_covariates,\n", " milk_train_covariates,\n", "])\n", "air_val_covariates, milk_val_covariates = scaler_covariates.transform([\n", " air_val_covariates,\n", " milk_val_covariates,\n", "])\n", "\n", "# concatenate for the full scaled series; we can feed this to model.fit()/predict() as Darts will extract the required\n", "# covariates for you\n", "air_covariates = concatenate([air_train_covariates, air_val_covariates])\n", "milk_covariates = concatenate([milk_train_covariates, milk_val_covariates])\n", "\n", "# plot the covariates:\n", "plt.figure()\n", "air_covariates.plot()\n", "plt.title(\"Air traffic covariates (year and month)\")\n", "\n", "plt.figure()\n", "milk_covariates.plot()\n", "plt.title(\"Milk production covariates (year and month)\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Good, so for each target series (air and milk), we have built a covariates series having the same time axis and containing the year and the month.\n", "\n", "Note that here the covariates series are **multivariate time series**: they contain two dimensions - one dimension for the year and one for the month.\n", "\n", "### Training with Covariates\n", "Let's revisit our example again, this time with covariates. We will build a `BlockRNNModel` here.\n", "We activate checkpointing to keep track of the model performance on a validation set over time." ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [], "source": [ "model_name = \"BlockRNN_test\"\n", "model_pastcov = BlockRNNModel(\n", " model=\"LSTM\",\n", " input_chunk_length=24,\n", " output_chunk_length=12,\n", " n_epochs=100,\n", " random_state=0,\n", " model_name=model_name,\n", " save_checkpoints=True, # store model states: latest and best performing of validation set\n", " force_reset=True,\n", " **generate_torch_kwargs(),\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now, to train the model with covariates, it is as simple as providing the covariates (in form of a list matching the target series) as `past_covariates` argument to the `fit()` function. The argument is named `past_covariates` to remind us that the model can use past values of these covariates in order to make a prediction.\n", "We can feed the entire air and milk covariates including the train and test sets to model.fit()/predict() as Darts will automatically extract the required covariates for you.\n", "\n", "Aditionally, we pass a validation series to avoid model overfitting." ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "d505fa9d752547b9b04d40c27dd7971a", "version_major": 2, "version_minor": 0 }, "text/plain": [ "Training: 0it [00:00, ?it/s]" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "BlockRNNModel(model=LSTM, hidden_dim=25, n_rnn_layers=1, hidden_fc_sizes=None, dropout=0.0, input_chunk_length=24, output_chunk_length=12, n_epochs=100, random_state=0, model_name=BlockRNN_test, save_checkpoints=True, force_reset=True, pl_trainer_kwargs={'accelerator': 'cpu', 'callbacks': []})" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ "model_pastcov.fit(\n", " series=[train_air, train_milk],\n", " past_covariates=[air_covariates, milk_covariates],\n", " val_series=[val_air, val_milk],\n", " val_past_covariates=[air_covariates, milk_covariates],\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we load the model state with the best performance on the validation set to avoid overfitting." ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [], "source": [ "model_pastcov = BlockRNNModel.load_from_checkpoint(model_name=model_name, best=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Since the covariates can easily be known in the future in this example, we can also define a `RNNModel` and train it using them as `future_covariate`:" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "54c586fd5c64491a8a66110cf0131e91", "version_major": 2, "version_minor": 0 }, "text/plain": [ "Training: 0it [00:00, ?it/s]" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "RNNModel(model=LSTM, hidden_dim=20, n_rnn_layers=1, dropout=0.0, training_length=35, batch_size=8, n_epochs=100, random_state=0, input_chunk_length=24, model_name=RNN_test, save_checkpoints=True, force_reset=True, pl_trainer_kwargs={'accelerator': 'cpu', 'callbacks': []})" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" } ], "source": [ "model_name = \"RNN_test\"\n", "model_futcov = RNNModel(\n", " model=\"LSTM\",\n", " hidden_dim=20,\n", " batch_size=8,\n", " n_epochs=100,\n", " random_state=0,\n", " training_length=35,\n", " input_chunk_length=24,\n", " model_name=model_name,\n", " save_checkpoints=True, # store model states: latest and best performing of validation set\n", " force_reset=True,\n", " **generate_torch_kwargs(),\n", ")\n", "\n", "model_futcov.fit(\n", " series=[train_air, train_milk],\n", " future_covariates=[air_covariates, milk_covariates],\n", " val_series=[val_air, val_milk],\n", " val_future_covariates=[air_covariates, milk_covariates],\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we load the model state with the best performance on the validation set to avoid overfitting." ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [], "source": [ "model_futurecov = RNNModel.load_from_checkpoint(model_name=model_name, best=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Forecasting with Covariates\n", "similarly, getting a forecast is now only a matter of specifying the `past_covariates` argument to the `predict()` function for the `BlockRNNModel`:" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pred_cov = model_pastcov.predict(n=36, series=train_air, past_covariates=air_covariates)\n", "\n", "series_air_scaled.plot(label=\"actual\")\n", "pred_cov.plot(label=\"forecast\")\n", "plt.legend()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note that here we called `predict()` with a forecast horizon `n` that is larger than the `output_chunk_length` we trained our model with. We were able to do this because even though `BlockRNNModel` uses past covariates, in this case these covariates are also known into the future, so Darts is able to compute the forecasts auto-regressively for `n` time steps in the future.\n", "\n", "For the `RNNModel`, we can use a similar approach by just providing `future_covariates` to the `predict()` function:" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pred_cov = model_futcov.predict(\n", " n=36, series=train_air, future_covariates=air_covariates\n", ")\n", "\n", "series_air_scaled.plot(label=\"actual\")\n", "pred_cov.plot(label=\"forecast\")\n", "plt.legend()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Backtesting with Covariates\n", "We can also backtest the models using covariates. Say for instance we are interested in evaluating the running accuracy with a horizon of 12 months start at the beginning of the validation series.\n", "\n", "- we start at the beginning of the validation series (`start=val_air.start_time()`).\n", "- each prediction will have length `forecast_horizon=12`.\n", "- the next prediction will start `stride=12` points after the previous one\n", "- we keep all predicted values from each forecast (`last_points_only=False`) \n", "- the we continue until we run out of input data\n", "\n", "In the end we concatenate the historical forecasts to get a single continuous (on time axis) time series" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "21c81307a941415f9081ea7ae8eebecc", "version_major": 2, "version_minor": 0 }, "text/plain": [ " 0%| | 0/3 [00:00" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, axs = plt.subplots(1, 2, figsize=(14, 6))\n", "series_air_scaled.plot(label=\"actual\", ax=axs[0])\n", "backtest_pastcov.plot(label=\"forecast BlockRNN\", ax=axs[0])\n", "axs[0].legend()\n", "series_air_scaled.plot(label=\"actual\", ax=axs[1])\n", "backtest_futcov.plot(label=\"forecast RNN\", ax=axs[1], color=\"darkviolet\")\n", "axs[1].legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### A few more words on past covariates, future covariates and other conditioning\n", "At the moment Darts supports covariates that are themselves time series. These covariates are used as model inputs, but are never themselves subject to prediction. The covariates do not necessarily have to be aligned with the target series (e.g. they do not need to start at the same time). Darts will use the actual time values of the `TimeSeries` time axes in order to jointly slice the targets and covariates correctly, both for training and inference. Of course the covariates still need to have a sufficient span, otherwise Darts will complain. \n", "\n", "As explained above, `TCNModel`, `NBEATSModel`, `BlockRNNModel`, `TransformerModel` use past covariates (they will complain if you try using `future_covariates`). If these past covariates happen to also be known into the future, then these models are also able to produce forecasts for `n > output_chunk_length` (as shown above for `BlockRNNModel`) in an auto-regressive way.\n", "\n", "By contrast, `RNNModel` uses future covariates (it will complain if you try specifying `past_covariates`). This means that prediction with this model requires the covariates (at least) `n` time steps into the future after prediction time.\n", "\n", "Past and future covariates (as well as the way they are consumed by the different models) are an important but non-trivial topic, and we plan to dedicate a future notebook (or article) to explain this further.\n", "\n", "## Training and Forecasting Multivariate TimeSeries\n", "\n", "Now, instead of having to forecast only one variable, we would like to forecast several of them at once. In constrast of the multi-series training, where two different univariate datasets were used to train a single model, the training set consists in a single serie containing observations for several variables (called `components`). These `components` usually present the same nature (measurement of the same metric) but this is not necessarily the case.\n", "\n", "Even if not be covered in this example, models can also be trained using several multivariate `TimeSeries` by providing a sequence of such series to the `fit` method (on the condition that the model supports multivatiate `TimeSeries` of course). \n", "\n", "In order to illustrate this example, the `ElectricityDataset` (also available in Darts) will be used. This dataset contains measurements of electric power comsumption (in kW) for 370 clients with a sampling rate of 15 minutes." ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [], "source": [ "multi_serie_elec = ElectricityDataset().load()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Since this multivariate serie is particularly large (370 components, 140'256 values), we keep only 3 components before resampling the serie with a frequency of 1 hour. Finally, the last 168 values (one week) are retained to shorten the training duration." ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [], "source": [ "# retaining only three components in different ranges\n", "retained_components = [\"MT_002\", \"MT_008\", \"MT_009\"]\n", "multi_serie_elec = multi_serie_elec[retained_components]\n", "# resampling the multivariate time serie\n", "multi_serie_elec = multi_serie_elec.resample(freq=\"1H\")\n", "# keep the values for the last 5 days\n", "multi_serie_elec = multi_serie_elec[-168:]" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "multi_serie_elec.plot()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Data preparation and inference routine\n", "\n", "We split the dataset in training (6 days) and validation set (1 day) and normalize the values. In Darts, all the models are trained by calling `fit` and infer using `predict`, it is thus possible to define short function `fit_and_pred` to wrap these two steps." ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [], "source": [ "# split in train/validation sets\n", "training_set, validation_set = multi_serie_elec[:-24], multi_serie_elec[-24:]\n", "\n", "# define a scaler, by default, normalize each component between 0 and 1\n", "scaler_dataset = Scaler()\n", "# scaler is fit on training set only to avoid leakage\n", "training_scaled = scaler_dataset.fit_transform(training_set)\n", "validation_scaled = scaler_dataset.transform(validation_set)\n", "\n", "\n", "def fit_and_pred(model, training, validation):\n", " model.fit(training)\n", " forecast = model.predict(len(validation))\n", " return forecast" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now, we will define and train one `VARIMA` model and one `RNNModel` using the function defined above. Since the dataset is Integer-indexed, the `trend` argument for the `VARIMA` model must be set to `None` which is not really problematic since no trend is noticeable in the plot above." ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "MAE (VARIMA) = 0.11\n" ] }, { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "9b0358f15cc1439f8d84f43b42729a48", "version_major": 2, "version_minor": 0 }, "text/plain": [ "Training: 0it [00:00, ?it/s]" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "MAE (RNN) = 0.10\n" ] } ], "source": [ "model_VARIMA = VARIMA(p=12, d=0, q=0, trend=\"n\")\n", "\n", "model_GRU = RNNModel(\n", " input_chunk_length=24,\n", " model=\"LSTM\",\n", " hidden_dim=25,\n", " n_rnn_layers=3,\n", " training_length=36,\n", " n_epochs=200,\n", " **generate_torch_kwargs(),\n", ")\n", "\n", "# training and prediction with the VARIMA model\n", "forecast_VARIMA = fit_and_pred(model_VARIMA, training_scaled, validation_scaled)\n", "print(f\"MAE (VARIMA) = {mae(validation_scaled, forecast_VARIMA):.2f}\")\n", "\n", "# training and prediction with the RNN model\n", "forecast_RNN = fit_and_pred(model_GRU, training_scaled, validation_scaled)\n", "print(f\"MAE (RNN) = {mae(validation_scaled, forecast_RNN):.2f}\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Since we used a `Scaler` to normalize each component of the multivariate serie, we must not forget to scale them back in order to be able to properly visualise the forecasted values." ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "forecast_VARIMA = scaler_dataset.inverse_transform(forecast_VARIMA)\n", "forecast_RNN = scaler_dataset.inverse_transform(forecast_RNN)\n", "\n", "labels = [f\"forecast {component}\" for component in retained_components]\n", "fig, axs = plt.subplots(1, 2, figsize=(14, 6))\n", "validation_set.plot(ax=axs[0])\n", "forecast_VARIMA.plot(label=labels, ax=axs[0])\n", "axs[0].set_ylim(0, 500)\n", "axs[0].set_title(\"VARIMA model forecast\")\n", "axs[0].legend(loc=\"upper left\")\n", "validation_set.plot(ax=axs[1])\n", "forecast_RNN.plot(label=labels, ax=axs[1])\n", "axs[1].set_ylim(0, 500)\n", "axs[1].set_title(\"RNN model forecast\")\n", "axs[1].legend(loc=\"upper left\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Due to the parameters selection, favoring speed over accuracy, the quality of the forecast is not great. Using more components from the original dataset or increasing the size of the training set should improve the accuracy of both models. Another possible improvement would be to account for the daily seasonality of the dataset by setting `p` (time lag) to 24 instead of 12 in the `VARIMA` model, and to retrain it. \n", "\n", "### Comments on training using multivariate series\n", "\n", "All the features shown ealier on univariate `TimeSeries`, notably using covariates (past and future) or sequence of series, are of course also compatible with multivariate `TimeSeries` (just make sure that the model used actually supports them).\n", "\n", "Furthermore, the models supporting multivariates series might use different approaches. `TFTModel` for example, uses a specialized module to select the relevant features whereas `NBEATSModel` flatten the serie's components into an univariate serie and rely on its fully connected layers to capture the interactions between the features." ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "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": "3.10.13" }, "vscode": { "interpreter": { "hash": "e4039a5feed4e8340756ed3b5a4fbd8e8f5934c9b89f90e2c2f7d4ac37379624" } } }, "nbformat": 4, "nbformat_minor": 4 }