{ "cells": [ { "cell_type": "markdown", "id": "da55dd6c", "metadata": {}, "source": [ "# Fine-Tuning PyTorch Models and Foundation Models\n", "\n", "This example notebook demonstrates how to train, save, load, and fine-tune PyTorch-based models in Darts. We cover two scenarios:\n", "\n", "- [**Regular PyTorch Models**](#1.-Regular-TorchForecastingModel:-Training-and-Fine-Tuning) (e.g., TiDE, N-BEATS, DLinear):\n", " - **(Pre-)Training** a model from scratch.\n", " - **Saving and loading** the model.\n", " - **Fine-tuning** the loaded model (updating weights on new data).\n", "\n", "- [**Foundation Models**](#2.-Foundation-Model:-Zero-Shot-Forecasting-and-Fine-Tuning) (e.g., Chronos 2, TimesFM 2.5):\n", " - **Zero-shot inference** for forecasting without any training.\n", " - **Fine-tuning** the foundation model." ] }, { "cell_type": "code", "execution_count": 1, "id": "bfa59f65", "metadata": {}, "outputs": [], "source": [ "%load_ext autoreload\n", "%autoreload 2" ] }, { "cell_type": "code", "execution_count": 2, "id": "310fa52a", "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", "%matplotlib inline" ] }, { "cell_type": "code", "execution_count": 3, "id": "d510b54b", "metadata": {}, "outputs": [], "source": [ "import logging\n", "import os\n", "import warnings\n", "\n", "import matplotlib.pyplot as plt\n", "\n", "from darts import set_option\n", "from darts.datasets import AirPassengersDataset, AusBeerDataset\n", "from darts.metrics import mae\n", "from darts.models import Chronos2Model, TiDEModel\n", "from darts.utils.callbacks import TFMProgressBar\n", "\n", "warnings.filterwarnings(\"ignore\")\n", "logging.disable(logging.CRITICAL)\n", "set_option(\"plotting.use_darts_style\", True)" ] }, { "cell_type": "markdown", "id": "6b82a07a", "metadata": {}, "source": [ "## Data Preparation\n", "\n", "For demonstration, we'll just load two short time series: The Air Passengers and Australian Beer Production datasets.\n", "We will pre-train a model only on the Air Passengers series and then fine-tune it on the Beer Production dataset. \n", "We also create training, evaluation and test sets for illustration.\n", "\n", "
\n", " **Note**: Our two datasets have different frequencies (monthly and quarterly), but our torch models can handle this out of the box!\n", "
" ] }, { "cell_type": "code", "execution_count": 4, "id": "2f87bcc5", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "input_chunk_length = 24 # model input window\n", "output_chunk_length = 12 # model output_window\n", "\n", "# load air passengers series\n", "series_air = AirPassengersDataset().load().astype(\"float32\")\n", "series_beer = AusBeerDataset().load().astype(\"float32\")\n", "\n", "# plot everything\n", "fig, (ax1, ax2) = plt.subplots(ncols=2, figsize=(9.6, 4.8))\n", "series_air.plot(ax=ax1, title=\"AirPassengers\")\n", "series_beer.plot(ax=ax2, title=\"AusBeer\")\n", "\n", "# extract training and validation sets\n", "train_air = series_air[: -2 * output_chunk_length]\n", "val_air = series_air[\n", " -(2 * output_chunk_length + input_chunk_length) : -output_chunk_length\n", "]\n", "\n", "train_beer = series_beer[: -2 * output_chunk_length]\n", "val_beer = series_beer[\n", " -(2 * output_chunk_length + input_chunk_length) : -output_chunk_length\n", "]" ] }, { "cell_type": "markdown", "id": "477c039b", "metadata": {}, "source": [ "## 1. Regular TorchForecastingModel: Training and Fine Tuning\n", "\n", "We start with a regular `TorchForecastingModel` (non-foundation model); `TiDEModel` in this case.\n", "\n", "\n", "### 1.1. Training\n", "\n", "First, we train the model from scratch only on the air passengers series. By default, `enable_finetuning=None`, which implies standard training for regular models (all weights are trainable).\n", "\n", "
\n", " **Note**: For demonstration purposes, we only show training and predicting on single univariate `TimeSeries` (one series with one column). The process is identical for multiple (a list / sequence) uni- or multivariate series.\n", "
" ] }, { "cell_type": "code", "execution_count": 5, "id": "7ddac1ed", "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "082aaee7736b442c8a8a3d8757f0d610", "version_major": 2, "version_minor": 0 }, "text/plain": [ "Training: 0it [00:00, ?it/s]" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# setup common torch model parameters\n", "model_params = dict(\n", " input_chunk_length=input_chunk_length,\n", " output_chunk_length=output_chunk_length,\n", " use_reversible_instance_norm={\"affine\": False},\n", " random_state=42,\n", " save_checkpoints=True, # store checkpoints during training to retrieve the best model\n", " model_name=\"tide\",\n", " force_reset=True, # overwrite previous model artifacts,\n", " pl_trainer_kwargs={\n", " \"callbacks\": [TFMProgressBar(enable_train_bar_only=True)]\n", " }, # reduce the verbosity\n", ")\n", "\n", "# regular training (default enable_finetuning=None)\n", "model_pretrained = TiDEModel(**model_params)\n", "\n", "# fit\n", "model_pretrained.fit(\n", " series=train_air,\n", " val_series=val_air, # use a validation set to monitor model performance\n", " load_best=True, # load the best model checkpoint at the end of training\n", " epochs=50, # train for 50 epochs\n", ")\n", "\n", "# predict after the end of the validation series\n", "pred_air = model_pretrained.predict(n=output_chunk_length, series=val_air)\n", "\n", "# save the pre-trained model\n", "model_path = os.path.join(\"darts_logs\", \"model.pt\")\n", "model_pretrained.save(model_path)\n", "\n", "# plot\n", "series_air[-3 * output_chunk_length :].plot(label=\"Ground truth\")\n", "pred_air.plot(\n", " label=\"Forecast\",\n", " title=f\"Trained TiDE model; MAE {mae(series_air, pred_air):.2f}\",\n", ");" ] }, { "cell_type": "markdown", "id": "de7f553e-d249-4ac8-913d-37ef5dfc705c", "metadata": {}, "source": [ "Great, this looks like a very good forecast! Now let's see how the model performs on the beer production series." ] }, { "cell_type": "code", "execution_count": 6, "id": "fc342586-b7e7-4211-85e8-1c64796c02cc", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# predict\n", "pred_beer = model_pretrained.predict(n=output_chunk_length, series=val_beer)\n", "\n", "# plot\n", "series_beer[-3 * output_chunk_length :].plot(label=\"Ground truth\")\n", "pred_beer.plot(\n", " label=\"Forecast\",\n", " title=f\"Forecast on unobserved series; MAE {mae(series_beer, pred_beer):.2f}\",\n", ");" ] }, { "cell_type": "markdown", "id": "da294801-ad1e-4eeb-aaf1-faea13235175", "metadata": {}, "source": [ "That doesn't look very good. It seems like our model does not generalize to our new beer dataset.\n", "\n", "### 1.2. Fine-Tuning\n", "\n", "Imagine the model above was a large **pre-trained model** and **full re-training** would take hours. Instead, we can also **fine-tune** parts of the model on this new dataset to, potentially, improve performance. For this we will:\n", "\n", "1. Create a new `model` instance for fine-tuning with the same architectural hyperparameters, and enable fine-tuning with the `enable_finetuning` parameter. We restrict fine-tuning to only the \"decoder\" parameters.\n", "2. Load the weights of the pre-trained model with `model.load_weights()`.\n", "3. Fine-tune the model with `model.fit()`.\n", "\n", "The `enable_finetuning` model creation parameter controls how the model is updated during `fit()`. Possible values are:\n", "* `None` (Default): **Regular training** for regular PyTorch models (TiDE, ...) and **zero-shot inference mode** for foundation models (Chronos-2, ...).\n", "* `False`: **Zero-shot inference mode**. The model weights are frozen.\n", "* `True`: **Full fine-tuning / training**. All weights are trainable.\n", "* `{\"unfreeze\": [\"*string.pattern.to.match*\", ...]}`: **Partial fine-tuning (Unfreeze)**. None of the parameters are trainable *except* the specified unfrozen ones\n", "* `{\"freeze\": [\"*string.pattern.to.match*\", ...]}`: **Partial fine-tuning (Freeze)**. All parameters are trainable *except* the specified frozen ones.\n", "\n", "
\n", " **Note**: You can inspect the model's parameters by printing the architecture with `print(model.model)` or getting the named parameters directly with `model.model.named_parameters()`\n", "
" ] }, { "cell_type": "code", "execution_count": 7, "id": "5e414418", "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "03ef39d0bc9e4552beefa82290cf86d1", "version_major": 2, "version_minor": 0 }, "text/plain": [ "Training: 0it [00:00, ?it/s]" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# create a new model instance for fine-tuning with the same hyperparameters but different training setup\n", "model_finetune = TiDEModel(\n", " enable_finetuning={\"unfreeze\": [\"*decoder*\"]}, # only update the decoder\n", " optimizer_kwargs={\n", " \"lr\": 1e-3\n", " }, # control the optimizer, learning rate scheduler, ...\n", " **model_params,\n", ")\n", "\n", "# load the pre-trained weights\n", "model_finetune.load_weights(model_path)\n", "\n", "# fine-tune only for 10 epochs\n", "model_finetune.fit(train_beer, val_series=val_beer, load_best=True, epochs=10)\n", "\n", "# hint: you can save the fine-tuned model with: `model_finetune.save()`\n", "\n", "# predict after the end of the validation series\n", "pred_beer = model_finetune.predict(n=output_chunk_length, series=val_beer)\n", "\n", "# plot\n", "series_beer[-3 * output_chunk_length :].plot(label=\"Ground truth\")\n", "pred_beer.plot(\n", " label=\"Forecast\",\n", " title=f\"Fine-tuned forecasts; MAE {mae(series_beer, pred_beer):.2f}\",\n", ");" ] }, { "cell_type": "markdown", "id": "b9251561", "metadata": {}, "source": [ "That looks much better! This demonstrates that **fine-tuning can significantly improve model performance** on new datasets, without having to re-train the entire model from scratch.\n", "\n", "## 2. Foundation Model: Zero Shot Forecasting and Fine Tuning\n", "\n", "Now we move to foundation models (e.g. Chronos-2, TimesFM 2.5, ...). These models are pre-trained on large datasets and can be used for **zero-shot forecasting** (without training). However, **fine-tuning** them on your specific data **often improves performance**.\n", "\n", "### 2.1. Zero-Shot Inference\n", "By default, our foundation models use `enable_finetuning=False` (zero-shot inference mode). Let's see how the model behaves on Australian Beer Production dataset without any training / fine-tuning.\n", "\n", "
\n", " **Note**:\n", "
    \n", "
  1. We only load the small version of Chronos-2 to speed things up for demonstration purposes. You can always use the large model with `hub_model_name=\"amazon/chronos-2\"`.\n", "
  2. Foundation models were trained on much larger input- and output chunk lengths (windows) than in our example. Increasing the window sizes (especially the input window) can significantly improve performance.\n", "
\n", "
" ] }, { "cell_type": "code", "execution_count": 8, "id": "f46a7e12-f45e-4d1b-ad9b-ffb6913a0b61", "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "1984bdf276a14e46bf451780e2c056ab", "version_major": 2, "version_minor": 0 }, "text/plain": [ "Predicting: | | 0/? [00:00" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "model_params = dict(\n", " input_chunk_length=input_chunk_length,\n", " output_chunk_length=output_chunk_length,\n", " random_state=42,\n", " hub_model_name=\"autogluon/chronos-2-small\", # small chronos version\n", ")\n", "model = Chronos2Model(**model_params)\n", "\n", "# by default for foundation models, `fit()` will only load the model but does not perform fine-tuning / training\n", "model.fit(series=train_beer)\n", "\n", "# predict\n", "pred_beer = model.predict(n=output_chunk_length, series=val_beer)\n", "\n", "# plot\n", "series_beer[-3 * output_chunk_length :].plot(label=\"Ground truth\")\n", "pred_beer.plot(\n", " label=\"Forecast\",\n", " title=f\"Pre-trained Chronos-2; MAE {mae(series_beer, pred_beer):.2f}\",\n", ");" ] }, { "cell_type": "markdown", "id": "611bc4af-6298-4b3e-9702-4d1207723e1a", "metadata": {}, "source": [ "For a zero-shot forecast, the results are already quite decent! \n", "\n", "### 2.2. Fine-Tuning\n", "\n", "And how does it look after fine-tuning the output layers of the model on the dataset?" ] }, { "cell_type": "code", "execution_count": 9, "id": "e9d4a755-272b-4c98-a3e2-f551ff486438", "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "923b0b70c74d4f808b329aa9d501a1bf", "version_major": 2, "version_minor": 0 }, "text/plain": [ "Training: 0it [00:00, ?it/s]" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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Hix8VP/74Y+Css84KtG7dWqS3HnDAAYG33nor7DmPP/64OH/t2rUTaar9+vULXH311SLFuSnINONoP5Fp3Ug7zsjICCxbtiyh9402xnjfC1yzPXv2jPuaMWPGBDp27Cg+66ZSexOpKoxUaVxXuAZxfeAYcI1HG0/k54HjHzFihPie4rrCNaymcKvAeY11nIleywx/IQP/eE2IGAwGwzQgWwc7eKhKDAajeWAywmAwGEkCtVtg6EQoUDXoMhiM1MBkhMFgMBgMhqfgbBoGg8FgMBiegskIg8FgMBgMT8FkhMFgMBgMhqdgMsJgMBgMBsNTMBlhMBgMBoPhKXxNRlCOGNUZZUMyP8LvY/T7+AAeo/ngc+gP8Hn0Dr4mIwwGg8FgMPQHkxEGg8FgMBiegskIg8FgMBgMT8FkhMFgMBgMhqdgMsJgMBgMBsNTMBlhMBgMBoPhKZiMMBgMBoPB8BRMRhgMBoPBYHgKJiMMBoPBYDA8BZMRBoPBYDAYnoLJCIPBYDAYDE/BZITBYDAYDIanYDLCYDAYDIYGuOWWW2ifffbx+jBozJgxdPnll7v6N5mMMBgMBsNX2Lx5M1122WXUv39/atGiBXXq1IlGjx5N//znP6miooJMxaeffkoZGRn0yy+/aPl+aUFGbrrpJnGBMRgMBoMRCz/99BPtu+++9MEHH9Cdd95JCxYsoLlz59I111xDb731Fn300UcxX7tnzx5ffLA1NTVkGpImIxMnTqSDDz6YDj30UPFz6aWXivvffPNNGj9+PB1++OF00kkn0YwZM8Jet2TJEjrnnHMEO8V7bNq0Kam/e/vtt9OaNWuSPVwGg8FgpBEuvvhiys7Opm+++YbGjRtHQ4YMob59+9Kpp55Kb7/9Np188snWc6EKQC055ZRTqGXLloK8ALivX79+lJubS4MGDaL//Oc/1mt+/vln8bqFCxda90FZwH1QGlTFYdasWbTffvtRQUGBWDd/+OGHsGO96667hGpTVFREF110EVVVVcUcF/7uEUccIW63adNGvP+FF15ohVUuueQSEVpp3749HXvssTGPMysri7788su47wfU19cLAte2bVvq3LmzCCFpp4zceOON9Nlnn4mfhx56SNxXXV0tDhwf/hNPPCHIyXvvvWexNDwGMvLxxx/TiBEjaPLkyUn/3Z07d6ZyuAwGg8FIA2zbtk0oIn/5y18EuYgGLLoqsMiefvrp9P3339OECRPo/fffpyuuuIKuvPJKWrx4Mf3xj38U93/yySdJH88NN9xAU6dOFcQIBOl3v/ud9diLL74o/jYI0DfffENdunShRx99NOZ79ejRg15++WVxG6QGG/oHH3zQevzf//63IE9ffPEFPfbYY00eWyLvh8/wq6++oilTptBtt91GH374ITmFbLve6KyzzrJud+3alY488khatGgRHXfccTR//nzKycmh0047TTwOBnjUUUfRhg0bqFu3bo3eC+Qlmsy0Y8cOwdYShXxuMq8xDX4fo9/HB/AYzUe6nEMoCJiH3QR25V9//XVCz12xYgUFAgEaMGBA2Lno2LGjpTpAOYEiIXHuuefSBRdcIG7jNU8++SSdf/759Kc//UncB7UBYZ577rlHKP/quY487/I++TsUfUQQAGzIocrAswIfywMPPCDICYgOgMUeISQcZ7TrCCSqdevW4jbUD3lbPhdjVscF5UM+Hu36bOr99t57b0s0gEr0yCOPiOPD2p0sMjMznSEj9913n/gZOHCgYJD4ECLx7bff0vHHH2/F8NTn4ER0795d3B+NjEyfPp2mTZvW6H48P5VQzbp168jv8PsY/T4+gMdoPvx+DktLS1337tXV1SU878tjKykpCXsNFAAsslivIh/r1atX2O+rVq0SKr56H0I9sB7gPmyiASgJCG8Au3btEv9v2bJFPAf/A3g88tixNmLdg3XhzDPPDHt86NChIoQSa7zyfXGdqZECEBisx+rr4h2nfI9474c1W32/Vq1apbwG9+nTx34yAo8I4m9gOi+88IL4febMmWGS2DPPPCMGDe8IUFlZ2Ugyw++xXM1givCfqEBMDTIXLpxEgYsPHzLkqESYmYnw+xj9Pj6Ax2g+0uUcYgcNz4Hbykii835hYaHY8UO9UV8jb2P3X1xc3Ogx+btUBeCTUJ+D3+X6I8M86nGB4ADwf+C+1atXi9+xVkrFQSpKiBzgObhO2rVrF/Z3iouLRagl1njl++I6k+8LyIwh9XXxjlO+R7z3i/wM4HvBTzJrcDJImowMHz7cug1p64033hCxtlGjRon73n33XXruueeEbwQDAvLz86m8vDzsffA7BhYNOBn4iQQITipfdLzGrxNEuozR7+MDeIzmw+/nEPO9XEh1RIcOHejXv/41/eMf/xAb5Wi+ESzS6vFHnjOkAyMso/o75syZI1QLPA+LPgBVQb4OlgT1veT9kbfV+6C2zJs3L8w0+tVXX4U9NxJyTUUoKvI5keOKd5zybyTzfvg98j470ex3VQ8MDmLEwWBqVcMvYIeQvlQJaP369eL+ZMAGVgaDwWDEA0ygtbW1IosF6v2yZcuEQROK/fLly5tUdv7whz8I8yYyalauXCksCa+88gpdddVV1uYam2/4M/Des2fPFkkdyQJ1UJ566ilhS1ixYgXdfPPNInQTD1KZQYoyVI6ysrKYz03kOJN5P6eRFBnZvXu3iGfBXIp87GeffVaoFVBLYDCCWQfOYZhdVIwcOVJk27z++uvitTgBYIXR/CLxwGSEwWAwGPGA9Qe1RY4++mi6/vrrRfYmiMnDDz8sCAXWqXg45phj6P7776d7772Xhg0bRo8//rggDEiflcAaBsKDtQ0G1zvuuCPpk3L22WcLgyiMrSNHjhRejD//+c9xX4M189Zbb6XrrrtOKB9I542Hpo4z2fdzEhkB6DMJAjEvSF/40BA/g2EGAxw8eLBIf0I+sxpegYH1r3/9q7gNxoeLAHFVyF1wDiOVKeEDzcgQTm4QmkSB+B+OVWdZsbnw+xj9Pj6Ax2g++Bz6A3wevUNSnhE4ctXiLyrAHuMBDPP555+n5oCVEQaDwWAw/AejtppMRhgMBoPB8B+YjDAYDAaDwfAURpERHToLMhgMBoPBSGMygsydJPy2DAaDwWAwDIBRZARlgSOLpzEYDAaDwTAbRpERgE2sDAaDwWD4C0xGGAwGg8FgeArjyAibWBkMBoPB8BeMIyMcpmEwGAwGw19gMsJgMBgM3wBdcGWHWfVHbdZqEmbMmEGtW7cmvyOpcvA6gJURBoPBYMTDcccdJ5rbqejQoUPSHxoau6r91hjOwThlhD0jDAaDwYiHvLw86ty5c9hPVlYWzZ49mw444ADxOBq1olstutpKHHnkkXTzzTfTFVdcQe3bt6djjz1W3L948WLR+LWwsFB0t/3tb39LpaWlYQ32pkyZQv379xfv3bNnT/rb3/5mPX7ttdeKxrIFBQXUt29f0a0Xne8lvvvuOzriiCOoqKiIiouLRZfdb775hj799FOaMGGC2IRLheeWW27x5ck3joywMsJgMBiMZLFhwwY64YQTaP/99xeL/z//+U/617/+RXfccUfY81555RWhhnzxxRf02GOPiQ0wSMq+++4rCMJ7771HW7ZsoXHjxlmvuf766+muu+4SJGPp0qX03//+V5AWCZAMhFvw2IMPPkjTpk2j+++/33p8/Pjx1L17d5o3bx7Nnz9fkKScnBw6+OCD6YEHHhAEZdOmTeLnqquu8uXJ5zANg8FgMBLCKTd3ph1lRJRR79on1rkt0TfTkts3v/XWW0LFkICqAWWiR48e9MgjjwiFYfDgwbRx40ahWtx0002UmRn8G71796a7777b+h1kBUTkzjvvtN7vqaeeEu+1YsUKobCAYOB9L7jgAvF4v3796JBDDrGef+ONN1q38f4gFOhif80114j71q5dS1dffbU4JmDAgAHW81u1aiWOF+qOn8FkhMFgMBgJoXRnFm3eof+HhZAHlA+Jli1b0l/+8hc66KCDxMIuMXr0aCorK6P169eL0AowfPjwsPeCivLJJ5+EkRuJH3/8USgn1dXVdNRRR8U8nhdeeIEeeugh8Xz8PYSGoHZITJo0iX7/+9/Tf/7zHzr66KNp7NixgtCkE5iMMBgMBiMhtG9VR1lZ2USh9dwVZSRZgHzAv5EK8vPzw34HeTj55JOFWhIJqCI//fRT3PebO3euCMPceuutwoMCpQOqyNSpU63n3HLLLfSb3/yG3n77bXr33XeFbwXPOf300yldYBwZYQMrg8FgeIM3bt1MvXr1skIYJmHIkCH08ssvi2arUh2BLwR+Dvg1YuFXv/qVeB3CK9nZjZdMhFRAYGbNmiXUjUjMmTNHfGY33HCDdd+aNWsaPW/gwIHiB+bZc889V2QDgYzAv4K+bH6HMVdUixYtxP9sYGUwGAxGsrj44otp3bp19H//93+0fPlyev3114UCgRBJPHKF8M727dsFQYDBFKGW999/X2S5gCRgbYLvBP6Pp59+Wjz+5ZdfCnOsJCvwhEDpwGMI17z66qvW+1dWVtIll1wiMmdAUkCQ8HdAngCQIKgzIDvI4KmoqPDlyTeGjEDaApiMMBgMBiNZdOvWjd555x36+uuvacSIEfSnP/2JLrroojBzaTR07dpVEAQQj2OOOYb22msvuvzyy0UhMklikEVz5ZVXCiMsSMTZZ59NW7duFY+dcsopQu0A4dhnn32EUoLnSyDleNu2bXT++ecLZQRZOjDcIqwDIKMGx4r3RK0UpBD7ERkBaFYGYNCgQcK5DFKSaKgGud9gmqbKionA72P0+/gAHqP54HPoD/B59A7GKSO7du0SFwyDwWAwGAx/wDgyAiFn9+7dXh8Og8FgMBiMdCMjaqMg9o0wGAwGg+EfGKeMAExGGAwGg8HwD5iMMBgMBoPB8BRGkhEufMbQDfAxXXbZZaJ/hSEJagwGg6ENjKnAyp4Rhs545plnRDEjYMyYMaI2AIPBYDB8rIywZ4ShG1avXm3dXrVqlafHwmAwGKaByQiDYQNUgiwrLzIYDAbDx2SEPSMMnclISUmJp8fCYDAYpsFIMsJhGoZuUAkyKyMMBoPhUzLCBlaGzmBlhMFgMNKAjLAywtAZ7BlhMBiMNCAjxcXF1m32jDB0AysjDAaDkQZkJCcnhwoKCsRt9owwdINKkNnAymAwGD4lI6pvhMkIQyfs2bOHKioqrN/Ly8vDfmcwGAyGj8iI9I0wGWHohF27djW6j9URBoPBcJCMTJw4UZS6PvTQQ8XPpZdeaj02Y8YMOvroo+nII4+kBx98MKxHx5IlS+icc86h0aNHi/fYtGlTymSkrKyMamtrk349g+EEopFjTu9lMBgMh5WRG2+8kT777DPxI/txfP755/TSSy8JQvLiiy/SnDlz6PXXXxeP1dTU0DXXXCPIyMcff0wjRoygyZMnNyujJtpulMHQhYywMsJgMBgehGneeecdOv3006l79+7Uvn17Ou+888R9wPz584UB9bTTTqO8vDy66KKLaNmyZbRhw4ak/oZfa43A/PjCCy/wAmYoomV3sTLCYDAYDnftve+++8TPwIED6YorrqABAwaIRmHHHnus9Zz+/fvTjz/+KG7/9NNP4jkSLVq0EKQF93fr1q3R+0NJwU/YgWZnh6X37tixg3r16hX3OOvr68P+1xUTJkyg1157jQ4//HChHCUDU8aYKkwYH67FaGQk0WM2YYzNhd/H6PfxATxGf6Deg2s1MzPTfjICj0jfvn3Fm2M3j99nzpwpsgdatmxpPQ+3KysrxW38rz4mH4+VcTB9+nSaNm1a2H1jx46ljIwM6/cVK1ZQmzZtEjrmdevWkc5ASEuGukDgQLyShe5jbC50Hh9IdSRwHtesWeObMdoFv4/R7+MDeIz+wDoXr9U+ffo0+ZykV73hw4dbty+44AJ644036Pvvvxc1QJDSKIHb+fn54jb+Vx+Tj8u6IdGUgvHjx4cfaHY23XvvvdbvCPckoozgA+/Ro0dCzMwryJBTXV2dCGf17Nkz4deaMsZUYcL4cM4iUVVV1eT1adIYmwu/j9Hv4wN4jP5AvabXakphGhVyMGA+q1atEqEGuTPs16+fuA0lBeqJOlGvX79e3B8Nubm54ieeZ2T37t0Jf5B4nk4fugqoRtXV1dbvuEh69+6d9PvoPEY7oPP4ovmXSktLkz5encdoF/w+Rr+PD+Ax+gOZml2rSR0JCMCXX34p/Bwo9PTss8+KrBaoJSeccAK98sorgmRs27ZNPIb7gJEjR4oFF9k1eO1TTz1FQ4YMieoXSTcD6/bt28N+T1baZ3gPTu1lMBgMF5UR1Pb4xz/+IRZMhE1gYEU9kcLCQjrkkEPorLPOEqEbyEDInDn11FPF66By3HPPPXT77bfTlClTaOjQoeJ2svBjszwmI+aDU3sZDAbDRTICw+h//vOfmI/D64GfaBg2bBg9//zz1BwwGWHoTkaKioqEgsipvQwGg5E49AkYJUlG/NK5NzIt9Oeff/bsWBipQb0WZQo7vECRpm0Gg8Fg+ICMsGeEobMygtRz1ZTN6giDwWD4kIykQ5hm7dq1YT19GPpDXosoytepUyfrfi4Jz2AwGD4kI4jH+42MRIZpkPbMO2qzIK9FkOWOHTta9zMZYTAYDB+SkaysLIuQ+MUzEqmMAJzeay4Z6dChg3U/k0oGg8HwIRlRQzV+UUaYjJgN1M+BmiU9TSoZYWWEwWAwfEpGpInVL2QkWpM1VkbMgXodRoZpWBlhMBgMnysjSJ1EFVjTwcqIv8gIKyMMBoORRmTEL+qIJCNqjwBWRswBKyMMBoOR5mTEDyZWSUZQn0J2f2UyYg7UaxDXJqoUw2gNsGeEwWAwfEpG/FT4rK6uzhpD+/btRUtngMmIOVCvQVybULhwLgH2jDAYDIZPyYifwjTqrrpt27bUq1cva1ymjy0SGzZsoNmzZ4smin4O0wDSNwJlhAvYMRgMRtNgMqKJeRXyviQjflNHysrKaO+996YxY8bQE088QelCRpDyy/1pGAwGw+dkxHTPiJrWqyojfmuYt3TpUot4ffrpp+RnzwjA6b0MBoPhczLiJ8+IqoxEkhE/KSOlpaXW7c2bN5OfPSMAp/cyGN7h7bffFv676667jk+DQTCOjPjJM5IuYZp0ISOsjDAY3uP++++n9evX05QpU2j37t1eHw4jQTAZ8RCsjPjbM+K39F6EDm+66SaaP3++14fCYMTEli1bxP8wj/tt8+NnMBnRyDMCaTEjI8PXyggWb9nLxQ9IJ2Xk0ksvpdtvv53OOOMMzhJiGLHJYzJiDowmI6YbWCOVkdzcXOratavvyEikOiB3Ln6AvAZR6Kxly5a+VkYWL14s/l+7dq3x3z2Gf6Fu8vw01/gdxpERvxpY4RkBpG8EO2r03/GbMuK33Yq8BkGSparlV2VEHQvqxjAYugFzpjpv+mmu8TuMIyOFhYVWHxe/hWkA1cSKHagfkC5kRMKPygjqpag1U2AQZDB074Lup7nG7zCOjGD3WVxc7HtlxE+hGr+SERjkopERqHd+608TOQ4mIwwdwWTEXBhHRtSJ3/S4tSQjUHtkk7x0ICN+ieNCDt6zZ08jMgLlTqojfgnTRI6DwzQM3Td4ftr4pAOMJCPSN2K6MiJZvAzR+JGMoBmgXyeIaAXPJPzWnyaSjLAywtARkXONXzY+6QAjyYjchdbU1BibJooFSn5x/ExGoF5FNsfzIxlRlRHVxFpdXe2LwktMRhgmgMM05sJoMmKyOlJRUSHIlOoX8SMZiQzRpAsZ8ZuJlcM0DFOVEb91CvcrjCcjpvpGImuMSKBWRbt27XzTLC9dyYjf0nsj5W4O0zBMICPwdEWqJQw9YTwZMVUZiZbWG6mOwCQoDZJ+IiNY2Pzgo1CJcCzPiF+VEVy/UPcYDJ3JiJ82P36HkWTED4XPYikjKhmBvGh61kI0MoJFrKysjExHOikj0cZg+rXJ8B+iqSBsYjUDRpIRPygj0WqMSPTu3ds3vhGVjOTn5/tqt5LOnhGAQzUM3cDKiLlgMqJxmMZvZGTYsGHWbSYjZoHJCMMEMBkxF8aTEb8ZWP1MRoYPH+4r6VS99vwcpkG4MJq6w8oIw4QwjR82PukAI8mI3zwjkWGadCAjfpggEil65ocwDSZ4FK+LHCd7Rhi6zquyf5lf5pp0gJFkxA+ekXQL06Cn0JAhQ9LGM4JFOzs72xfKiHr8v/rVr6zbrIwwdAIIs1Qr+/bt6ysVNh3AZETDMA2UEvSr8RMZwZi6deuWNmQE5EstCe8XMjJixAhr18lkhKHb91GWDAAZyc3N9c1ckw4wnoz40TOChUyqI2vXrjW6gqAkI+3bt6fOnTtb9/thgpDXHpoctmjRotHj0jeCxdzkuioqGenatat1HjlMYx4wl/z73/+ml156ifwGVW1G4Uh5nfphrkkHGElG/OQZgZSPqquRkGQEvU1MlflRsE0u2CAj+JG7aj9Ip/Law/UIAhkJqYzgc9i1axeZCvX6A8Hq3r27dQ5lSwOGGXj77bfpwgsvpHHjxtGcOXPIT4jc4HXq1MlSJmtraz08MoZvyQjqVch4vKlkRO3YG20h84NvRJ0cQESysrIstcAPuxV57UWGaPyWUROLjEDt2bRpk4dHxkgWCxcutG7PnTvXVx9gZFKAVEZwnUYrvsjwCRlZtGgR7b///vTkk0+K37FDuuOOO+joo4+mo446iiZPnkzl5eXW87/44gs67bTT6JBDDqFJkyY1a6eIxVsuAKaSkWgde2OREVN71KgTAMgIIHcrpjewwgQnr+FYZMQvGTWRZET1/nCoxtzv5I8//kh+QmRSgN/Cwn5HSmQEi8h9991HQ4cOte578cUXafny5TRz5kx64403xGI7ffp08Rhu33DDDXTVVVfRRx99REVFRXTPPfc068BNJiOQDOVCFpnW6ydlJBoZkROE6Q2sQLRlumu6kRGpjABsYjUL6nX4008/kZ/DNH4mIzdMq6eBv6mnWfPN9aLZQkZeeeUVUTOiT58+1n0bN26kgw46SMTP4YEYM2aMdbF/8skngrhAFYHRb+LEiTRr1iyqqqpK+cDlAgBPgmnmQNV0m4gy4kcyYvoEEa/gmZ/DNCBYTEbMhZ+VkcgwjVRhTZ9rIrGzLEB/f4Zo5XqiKf81a+2Lh6DxIslJ+LnnnqMZM2bQ1KlTrftPOukkeuCBB8QFgZQqEBAQEmD16tXUv39/67mQeeH5wK5KvV8CIZ9IYxyeL1O1VBMrdqdouhbNBCrDALqFA9QJAV+aaMfXs2fPsDBNrDHoOsbIRQykC8eoThDwG6i1R0wan6rqgIxEOz44+tXPwsRzqJqNMU5kDnXp0sV6DN/hRI5b9zE2F6aMT1VGMK9AoYSXyw9jVMkI1geY/9W5xi/X6aZtCBMHb6/ZnPyxejFGtQidbWTk0UcfpXPPPVeEWlT06NFDXADHHnus+H3UqFF05plnWl1a1UUIAHmorKyM+jcQ3pk2bVrYfWPHjhUOcAlMihJLlixp9P4q1q1bRzph6dKlYSQrmvKBCwXkC6Rs1apVTaojuo0xcucF9QpjUM/b4sWLqV+/fgm9l27j++GHH8I8TLHOoYSp51DdVYI4Ywyq4XrFihVJKXe6jtEu6D4+VSFAuPjLL78MU7pMHiPKIEhEqu4rV670zXX6/Yo8aMzi9rqt9fTzz+soSg6EVmNUoyi2kBF4QrCQXnvttY0eu+uuu8TC+umnn4qFB2bWBx98UJhVCwoKwsysAH5Xu7iqmDBhAo0fPz6uMqLK/SBGalhDXQzwgYMoJcLM3ALIkwSOO9qxS3UEixhYPW5Hy7rRdYyAmk4HBQTjVJUQqFqxxq77+FRCiWOLNg5V3cMuLdZYdR2jPO7du3dbiibGoBJ/KERNnUPdx2gHTBgf5uVInxYW7UTOnwljVL9vaMqJTbAEbvvlOl0Q4lxUUZ1Jbdr3olbBGpkJQdcxJkVGvv32W8EuTzjhBPE7wiOQ+OCoB/O84oorrHDJiSeeKFQUyYrgEVH9JVioYjFykA6VeDRVawRm0HgfKh7T6UNXTbeQ8mMdG748ICNYDDDGWGZXHccIbNu2Lcw/geND0SxV/k/0mHUbn5oNhmsx2rGphBnyeFPHr9sYY51DbC5w3eIxfPeTOWYdx2gndB4f5hE1dCFDNcker65jjCx6pnq5kplrdB4jsG0XYjQhr8jGbRnUpjh5aUS3MSZ1JGeccQa9+uqr9Oyzz4qfww47TIRPoH5gx/vOO+8Ipo3wC25LP8gRRxwhdpIosoPHEYJB+m+0qpXpUPgsXvVVP5lY1fi03wys8ZrkSRQXF1thKVOzaSIzaSTkRgJkROf4OiOEaLU2/GRilWQkv2Ur+vS7PKqsbWltjk2eayJRGrHcbTBzamkeGQF5kJU08ZOXlydCLQiTXHbZZYJ1QxGBmRXGKNwnF1yEbe6++25BQmCCvfrqq9O2WV68jr1+IiNy8oN6Js+XSkZMrsIary9NtP40pmbTNEVGoHCaOrZ0QxghzioiysjxFRmR82pWv7vo+KsDNObSAHXq3MV3ZKTkl/AMmvU+ISNJG1hV3HLLLdZtEI4pU6bEfC7SevFjF0wmI/E69vqRjKihKKgI0phr8gSRCBmRCzjCkvgsELOP5vsxkYxEFj5TSSZD4+9jt0lEPW8gym5NtOgoX9UakWSkruXB4v+lPxPt33kw/fTjKrEBxmYZG2jTURLRjs0vZESfgFEakZF0CdOoTfIksBhLA6Tf64xE9qcx7TpNRBkBuPCZQcpIoCZIRIC8nkIZMa1OUzTAGiD9MIHsUEp9cbtBvlBi44dpzD9/viEjpnXuTYcwDSYHmUGlkhFA7qJNbmCVjDIiYWI4g8mIz8hI9frQHXndxXVsciXkaHNqbUbIw9WiVV/rtsmbHxWsjGgGkw2s6pc/HhnB7lOGN0wjI2oWRiwygh2ZqcbORAysfigJnwgZ4f40BimV1UpeaF4P8Z8ffCMWGcnIo9pAqGREdn5wjH4mIxt80gPQF8qIaWREfnGQbSG7D0cDMjFkKqxpzfKilYKX8IOJNR2VEbW+iOoZ4TCNScqIUugqr6f/yEhO+FwTyPVH9p4KVkY0gx/ISDxVJDJUg8U9snCcqWTEDz0j5DWHDLN4NXH8oowgI0q9XtkzYh7Ed3JPCVF9Q3XSvKC65QcTq6U254S+b0ANtTd+46OioipAleGlYmjbTqKqavN9I75QRkzyjCA0IclIPPOqRO/evaOWO/aLMmIqGZHXXDxVxE/KCEiVWiAJqp5sCcHKiBmwyLBUR9JAGamobWX8XBNPFfFTqMZYMoIdqUzTMkkZgbohTZuJkBFTTax+JyPymovnFzFdGQFxlmREJVWRoRp4RvyQkeF3yO9kdl3Ddy67mCir2BfKSIiMhCsjOysLjJ9rEiIjZk0t/iIj6q7UJDKSaFqvBJMR/YCKo7JfS1PKiEpGTFNG1PLh0ciIDNWg74dJ6mS6QpLh/ExlG53XwxfKSChME0rrBUp35fiWjBQV+KvWCJMRTdN604WMmBjHxSItlYBkwjSmKSPquYlHRgAO1egN1LmRhLG4hbJ5y+spzl1kzxq/KCObd2RQ6zbtjJ1r4tUY2atvqA0DkxGPIRcCNC0zpT9GotVX/UxGTDewJlrwDICvQhpcTSMjsdJ6Y1VhZZiRat+uZUWYMgJibVq2XqKekbo6og5dhhg718RTRr6c9bivCp8ZrYzIeD2ICDoI+zFM07Nn0GRmMhlRQxVAYWGh0Q2sEq0xIivOyoXctDBNU2SElRFzoBLhzm1qQg80ZNSYHqqJlU0DtOo4xPLrmbJOJNKXpn7nfOs2KyMew8T03mTDNGjXLhdzE8kITMaSeEQL1ZhORppSRgB5/vCZmKLgAUxG/AN1c9Bd5ZUNGTWmm1hjKSNAQWv/VGEtVZe58kXWTc6m8Rimk5FElBE1VIOGa4j9mtaXJlpzOElGEPKoqmqoe+BTMiJVBWRRmWT05DCNP5WRPl2yfaeMWB1780IhYIncwt6+ISMl6vRRs5GoJjgeVkY8holkJFnPiEpGsKs2wSiIGHS0JnmxTKymhS+S8YyYnN7Lyog/lZEeXVtRq0LyVa2RWAZWgbxgFWs/mFhLVDKyB+X9g16tzdux2THbN2K0Z8TEwmfNUUZMCdUgNivd+bHIiMkm1lSVEdOIV1NkBOdWmnNNIMnpDJUE47z16KAqIxlGh2nq6uoavpMZVJcZ9HDlKOJPXWYHY+eamGSk9heiwB6img2WUXeL4f0OjSYjJjbLS9YzYiIZiZdJ44fCZ8kYWP2sjCD8phY+Y+gL9brD9dhT7gUy84SaADJiauE6ayOa3YYoI0vcHBKaMqmyro2xc01MzwjK+gMNyogfCp8ZTUbSLUwDmJCCl05kJB3CNDBRRzMhqxk1uK5N6p2Uboj8TvaIMLFWVlbSpk2byC/m1WF9iGT3gl3VhcbONSr21AZox24lRAPUhBRJ030jTEY8+uJA3sYknwjU/jR+VEZMi+OmW5gmmioSLb2X1RFzlJEeHRVTeV4P8Z+poZpoab2d2gR/xONlwbYhppORbep+W5KR6o3WXUxGPITJnhGEaKJlmUQDh2n0QjoYWJH5Iwtlqf6eSDAZMS/VHnV+rDCNQkZMNbFGU0Y6tM6gLg2V4bf+kkkZmdlGbnxim1dLGikjphc+M1oZMdEzIll8oiEaOU50SfWTMuIXA2sinhETlREQEekhiKeMqFVY2cSqLyQJlqn24WEas5WRaJk07VsRdW2YeurqM6hd58FGzjUxa4xYnhEO02gB0zwjqBEiG6wlQ0ZUdWTdunXaF85KJzIiSaLflJGmzKsSXIWVjEq1l9diNDJiqjJihWmyQ03yOrQm6qr0zGvTaag115hq1C2JTOuNNLAq/Q9NhNHKiGlkRDWvJppJE0lGampqtF+8EyEjkIvlZ6D7eCIhrzWYOrOzlRzCGIAs3qJFC6OUkVTICHtG9AR6d8liifL72L2Df8hILGVEhmmAwrYDxP/4HNR52HgyUl8eTPNlz4i3MI2MpFJjxETfSCJkRDWxmhbHlZ6RRPwiAGRxuSM1RRlpqmOvBIdpzDOvAnm5GdSpYQrKLOjtkzCN6hlBmCbkyWtR3Me6bdrmJ26YRlFHkNprqupjvDKSk5ND+fn5xhhYU0nrNZ2MtGunbE9ikBHTGlhJ4psoGTGxP02iygjOYWZDDiV7RszaHPRsOK312R2JMrLFOZdhZD95RoDMFiEFz7TNT7QmeZYyAjQUPquqIdq+i4yF0WRENRCyMqLfTgxhDEkW/eIbQZaJrKeRiHk1ckFHtUgTZOJEyQjCVF26dBG3OUxjjjIS7hvJJMoNGpFXr15N5qb2Bjc+4MZti8PDNPXZ5tY1iptNE+EbMTm913gyInenppGRVD0jJikj8UI0phY+Q/xdIhVlxJRQTaJkRA3VYMcJTxNDX2UkOhkx2zcSqYy0KwYhyQgzsFZTG9+RkVZy/glL7yVj4RsyAnkRu06dkQ5hGoQgZH0KP5KRZGuMmJremwwZkSZWxKtNreKZTn1pJHp2UgufmdswL9IzghAN0LFNqApreU2xcXNNTM9IXaUwru6zzz6+KnzmGzISuWv1m4EVCwIyUHQnI1CoJClMhoyYEsdNtvqqH5SRps4jp/eaHqaRDfPMNLGKTV5mC6KsQsu8CmRlZYSqsJbnG09GSqwmeUGlK0RGFGWklA2snsGkwmfNCdPAJNizZ0+LjOjqmk40k8ZUZSTZgmemKyMwIDeVvqxm1LBvxCADqw+qsGIeFPNqdmhcUhkBpIl12+5sa+9tysanUa2YiCZ5e++9d+P+NPpPLemhjJhERpJVRtQeNcg8Ud/LVDJiooE13ZSRpkI0ACsj5isjWS37GKmMVFRUBH1KSiaNVEYAaWJFFdbsgq5GzTUqfikjqq0Lz6TBJkB8P31S+IzJiCGeEVN8I+mkjPjVM4JsIZkxxGTEfMjvJOrdqPMOQhjZWcHbOYV9ra7gyBgzucZImDKimFjbdh5m1FyjojRKwTOolmIjULuNqL5K3MeeEQ9hqjKSjMTvVzKCXZqsUeF3A6tJyoh6fImQEQ7TkBHnE6FhNeQGT4WsxFqfHVQNQETQcsLkjr1okiehFj4rbj/Y+jx0T3ZIJK0XZKRHjx6NCp+ZCuOVEXVR173wmSQjWMSyshq2JGlMRvAZyEXalDhuqp4RlYzorowkk0kDcBVWvRHZl0aFDNXUBIpQitW4UE1IGWkXVRlRa43kt+5rZfyp85QvyEjNeiucU1ahp5/Q92TEJGUklY69fiYjaqjGlAZWqYZp1AJwuisjyZIR9N2R55qrsOqF6upqK8sw2vfR9Foj0aqvqp4RtQprTkEwAcAkJVaiJKwUfKmoPl5UVBTyaynpvab6RpiMuO36ZjIS1cRqSgOrVMmISf1pVDKimozjQU6KGzduNKLcfboXPIueUWNerZFoYZpYnhHKDVYKNpGMlEZ4RqCKYE4JhWnML3zGZMQlqEXZkk3rVeVwGd7xmzJiygSRqmdEVRl070+TrDKihmrgOdA9DJVOaOr72KOjWvish8FhmvAmedHCNDUZ7Y2aa2L3pSmxen5FhmlMNrH6iozo7BlpbiYNAPOZnPRNICPxmuSZSkZSVUbUnSmIiK6p2amSEU7vNSutN5oykpFvnjISNZtGISNqFdbK2tZGzTWxwzQlFrEMKSNpHKZZtGgR7b///vTkk09a9y1evJguvPBCOvTQQ+nEE0+kWbNmWY8tWbKEzjnnHBo9ejRNnDjRtrLRphQ9a26NkUjfCEquy/RLHckIFmrENZuCaVVY5TUGibS4OFRi2k/pvep5SIWMcOEzc8I0qmekZdvBFhkxwb8VHqYJLs4t84ny80Jqj1qFdWdV0KBrylwTO0wTUka6du0q5qLwwmdmnDtbyAh2dvfddx8NHTo07KK/9tprBdH45JNP6Nlnn6VBgwaJx1CU5pprrhFk5OOPP6YRI0bQ5MmT08rA2pzqqyaZWBNtkmdq4TN5jcE8JtOS/Zbe25wwDcAmVv370kQjI7mF/cT/MLzqrNzFM7CqfpFIE+uOslxryTNhromqjATqiGp3WGQkNzc3OIf6oPBZSmTklVdeoeHDh1OfPsGqfcB///tfOumkk+jggw8W4QQoFnK3NH/+fLFLPu2000R/lYsuuoiWLVtmyw5K3Z2mkzKiIxmBX0DuVKLtwvwQppGhwGRDNCYpI/LYMNElqv5wmMZMZaRNUVBNAOpzgrVGTArVBOfVTKLsto38IpEmVlRhlaTFhLkmamrvHjQhDYSFwEWopmZzkKgY7BmJ33QixmT83HPP0YwZM2jq1KlhYRg07jn77LPFc0aNGkVXX301FRYWCkPUgAEDwlIBMXnhfnVHJQElJbIVOQgOJsdIQKLC30CJdJAR1Rgob+tgFpSdbAEQtVSPSfanAVavXq3dGKW8iy9LIsekLtAI3UW+RqfxqYQXZCTZY1InECz4kWPTZYxqKXicz0Qke8jFqjKi+3m0G7qOTyW92ARFO74eHYiWryUqrw1dn6tWraL99ttP+zEG+9K0IcoIGvvbFTc+vs6Kda1FcV+q2rZFkJFo49BxjOFkJFRjRB4j1tJ58+YFCUleN5FNE+/4vRhjIipy0mTk0UcfpXPPPVfI1JFy4DvvvEOPPPKIYOA333yzCOXcdNNNVFlZKeosqMDv6CsQDdOnT6dp06aF3Td27FgaN25c1OfjWEBGsBhGUwt0qCioOtSRVZOqqgEiJ/H9999bY9NhjJjA1ONMZIxI6ZVAKepYr9FhfCDIVVVVSY1Phbqor1ixotHrdRgjJigp7YM0JzpGtaIldtU6n0cnodv41POA6zfaeWlfhA1BPu2pzwkqDLXb6dtvv6WDDjpI+zGKa1UxrxZkl9GaNaGNn7gvCypmUDIpaj+QqrbNFSno8a5tncZYWZ1BFVU9wzr2Yi6Rx2+ptEjvzetGW3YEaOWPaym3idXdzTGqURRbyMjy5ctp6dKlwhsSCYRfjjvuOCuM8Lvf/Y4uv/xycRvFniLNlvi9oCBkKFIxYcIEGj9+fELKiGT82FWDkKhhDEys+MAhYyUb37cb6kI0cODAsONMtoiRBEIiGJsuY1y7dm1YU79ExgilByE8kBLEqiNfo9M5jCyTnuw5RGhTAuOVr9dpjCD0klhAtUxmjNgUIIUdoQGdz6MT0HV82AhKwKsXuSkEBvYi+nyJUmukdrtQHEw4h6KgW06wgSjQq1sh9epVGPacIf0prCR8yQ9BhRMhYqxbuo9x7ZbGfWnUNcTybtYEM2oCgQzKbdmLeoUi4NqPMWkyArYMNnbCCSeI37H4o+4FvB/9+vULunoboN7u27cvzZw50/odu0tIubg/GkA6YhGPaJDMEEoLJtLILA584F5/6GraMYxkqR6P7NwrF3/5PjqMUfXFqH1nmgIMWLgeIJ3Geo0O48NCKwHVINnjUc26WLAjX6/DGFWPAY43meOBXCy9YPj+q3OATmN0ErqNTxJobAgj1WyJnp2wUQqEao2ULxRKrs7fRelRE2SkXUgZ6dgmgzIzw6+7bu1D48st7BV2rVupsZqOEdi2Szk/DWEadX61QvdK4bNN2zKoT9fG3z9dxwgkdSRnnHEGvfrqqyJTBj+HHXaYCJ9MmjRJmFfffPNNsaiAbMBTcsghh4jXjRw5UuzoX3/9dSEVPvXUUzRkyJCofpFUoJoJZeljvxpYER6Qi5puBtZkC55Fmlh1b2DVnIJnpvSnSSWTRkJ+n7Ep0LnmTzohXl+aaLVGWrYLpffqDusai1EKPloV1oy80Jpjiom1JEpfGnV+tczjhhc+S4qMyB4U8gcSl2TcMKz+5je/EZkyqDECdUKGaaBy3HPPPcL4esQRR9CCBQvo9ttvT6vCZ3al9gJSnkNoKtLoazIZUf0Kfit4BkAil6FJXcfZHDLCGTV6QW0IF+/7qKb3FrcfJv6HuiX9UaY2yYtWhbUuq6NxZKQ0oi8N0CibxgeFz5I2sKq45ZZbwn5HHRH8RMOwYcPo+eefJydgQuEz+cWRBK65ZOTrr78WPhTE/tS24CaTETlBqL/7oWOvCizwMOr6URmJJCN77bWXrcfGSA7YmEmlMZ4yElZrpChYawRzC67TwYODSomJTfIiq7AieaSyvo3hykipCH+q8w8y2RBuqW9U+Cx+mEY36BMw8nnhM7Vjb7RYuh9qjdhBRnSujNhcZURdFFSjqN/CNABXYTXn+6iSkbqc0DnUPVRjkZFspRR8lK8lqrB2boiMl9UUGTHXxOtLgzVE9igDsBnt0qWL8YXPmIy4/MVpbojGj2TElCqszfWMqAs8dp5q7RldwGGa9OlLI1HQIoPaNVzOlXUh+V/3hnnROvZGU0bUUM0v5XnGVWEtjehLE63nl1Alazakj2dEV+iujMDXIVObm2NejUZG1HRaXcgIJMNkwhimVGG1UxnR1TeikhGVJCYC9ozohWQ2Bz0b1JFfKltay4IxykiDZwRiQevwrN5GJtb6gHlVWEsiwjTRyIjwjdRXNVRoJVH4zDT4goyoC5+OBlY7OvaapIxEyoh+JCOpekZ0z6hRjynRkv4SHKYxUxlRQzWiZHpuFyOUkUjPCKqvRqb1RvanEcjtqv1ckxIZUdJ7EaaprzerYZ4vyIjuyohdab26KyNy8ksmRGMqGWlumEZ3ZQTjiywI1RRw3mV9IG6Wp39fmli+kZyivkYoI5Ede6P5RSS6tAuRlJZtBxjmGaEgancSBWqiNzyUZKQhVLOnNoLEGAAmI4al9cqFQu7MdVFGUEdGFgVrDhnReYJIhzCN/PyTNa8CMGbLUA2TEf079qro2Sm0WHfo/itLGdGtR0ujeTUznyirZVy/SKQyUtRuoPYbn6iekShpvY1CpKqJVb/pJS6YjBgYplHVEaT26pCVoZoxkyUjaHQo62+ki4FVxzANCKUkXKmQEXVSxGcV2QKCoX+YBijuEGxbgDojOn8fBRlR+tLEU0ZUMtKiuI9VQRw/OqO2NkDbdzVukhdbGTG38JkvyIjunhG7wzQqGUGPEx0WtVQzaSLVEZ0nP7lQw6ALAuU3ZSSy904qMN03MmXKFDrmmGNEF3LTkcx3UiUjecWhZi46h2rEJi+BTBqgizLtZub3MEKJBbapBcXjKCN+KHzmCzKSbmGaSN+IDpO+XWQEE4zaDFAnyGsL11uqtWJ0Vkaak9brh4wadHK97rrr6MMPP6Q77riDTIcklyDPTc07akn4eqXWiM4m1qAy0iFpZSSQY0YpgURKwavzp0gaUPrTrC9hA6vrwC5VLg66kxG7lRG/kREdF+loZCRV6KyM2E1GdLgukwGa/Mnu2t9//z2ZjmSy25D6KnumVda1N0IZEfOqUvCsQ+vYGwSoJnJ8NYH2xigjpU2UgpfA+UUlVrXWCHtGPACYf3FxcVp6RvxIRnTcrWCRkiHA5pARtAKQbdx1I112kBE1TGOaMrJq1Srr9sqVK0VXWJMhyW4iKdrZ2RlWLY4dFcHrU2cygu9jMp4RtQpreW1wrdB1rmlKGYlGRqxQTZgyQkbBF2EadYFIN8+IX8iI7lVYYeaDP6e5ZERd6P2ujJhMRlCoEL1ZTEVlZaVlIE60Xoz0jWzbnY32tlqHaTA2QRYVMhLPM6KGanZV5htThbUkosZIvPlVkJG6nUR1wfPOZMRjE2s6ekYQ6/YafldG7Ch4Fq0/jU6773QP00ANUbF8+XIyFal8H1UTa6eeI7VWRqI1yYunjKgm1mAV1o7azjXxSsHH29CG0nvXW2REhh1NgO+UEZgfdTNAyjANfC3N3VWrC5rs/qvDpJ9OZMQuZQTQqT+NHWQEChfCpqYrI6aTkWTSeqOZWDs2kBG8j6wfpCcZSV4ZEWioMqvjXBOzSV5tKRUVFVmFBZtK7y2vJNplUHa978iIjuqI/OJgR51MmfR4ALHp2bOnRUa8ZsB2khEdTWV21BjR3cRqBxmxOogaRkZQ3CtSBUg/ZSRkAG3VYS/rto6hmsjqq4koI13bKwbXvG7azjXxPCOx/CJ+SO9lMmJYx95ooRrEh9VQkJeTHxYjaSZOBumqjOhkYpXHAmWjOd4mKRfj/eC9MAEg9PAF+YWMNFcZyS3uZ93WMVQTqYwU5hO1yIufbi8795pUhbUkgozEI5aR/WmA9fpML+lDRnQtfIYdl2TxdplXJeQOVAeGL8kIviyp1OBQF+h08Yzoqozg+GSopTkZNVDrNm3aRCaGaNLdMxLI7aG1MhLpGWkqRBMZpslv1deaa7xWlRPyjNRXE9WVxVVGLM+Imt7Lyoj70DVMg3ir7O9gNxnRqemaSkZSQYsWLaxFXncy4kdlBBOyPJZUQzQmZ9REIyPw83j9vXJTGVHJSGV9OwOUkUyi7LYJhWgiq7DmFAZVZSh3Om1eYyojTaT1Sr9WTk5OWH8akzJqfKOM6EpGnMik0a0dfUVFhQgVNYeM6F4S3k4yoqMyAtIsjd9qmnW6ZNSoZGTQoEHGqyPJdOy1nteaKK/BG/lLRaHWZCRYCr4tUUZmSsoI5Xa1buo438gNQqhJXtMd0aFmClUyrPCZvqpPJJiMGFhjRELdwaqTj2nm1UgyghoCujWwcsrAqosyoob5mquMmFj4TE3rPfnkk40nI8l07JVAeLVHw6W5YVu2yNzQOkyjVF9NRBkBYZH5A7WZ+ldh3VlGtKe26eqrjTYChhY+8yUZ0Ul2c6L6qm6LWiq7MNMyapwK0+iijNiRSeOHMA1k7l//+tdpSUbUUM3uCqJeffcWt9esWaNVPZxofWkSUUZQhbVTgzhdWddae2WkNMFS8I1MrHu2EtUHCzQyGfEAqqlQ1zCNXz0jdikjOldhdcrAqosyks5kBHK4JCN9+/alYcOGGU9G5HcSrQdkPaJkM2o69dpf/A8ism7dOtIvTKMqI4mZ5mWoZnd1gfZVWEuSKAUfnlETIKrZaFx/Gl8qI7qSEb96RuwO0+g4QdipjMCsKyVwPyojomGXQZ4RZPxIz1P//v3F8aP5pslkJJm+NLFMrK07DtfWN5KKMgLI/juBQKb2VVhLEuzYGy+9F+pKVbUZvhEmIz4J0/jJM6LjBGGnZ0Q9d34kIyBb8jowQRlR/SIDBgwQ3onBgweL31evXt2o/ojuqKurszZByX4fe3YKKQx5xf01JyPtkvKMRNYaobyuWoaE4/WlScgzAjQoI8BGfYo8xwWTEYPDNAUFBVp0gHWCjOg2QUhlBEXdkpG9Y0Eu+Lg+ZAM+L2EnGVEnRfRNkqntJmTSQBkBJBlBCCeyZ43uwAZIfubNUUYCuaFwm24m1mCYJgVlRK3CqnlJ+NJUPSOGFj7zDRnRteiZk2EaXXbY6aCMSDKC6yyVom6RUBcJHfrTOEVG4DfQxReTChkxMVSTSo2RqLVGAu21VEZA3kW/HNUzkjAZCd3Oyu+h5VwTtS9NUp4RMwuf+YaMQCWQfV/SRRlRFw4saJBnvUA6GVjtanSoW+Ezu8mISem9fiMjzfk+qmRkR3mhNafqpIyE+tIkr4yoYZqCNv21nGtieUYQ/sQ6Fw8gn6KRnoGFz3xDRtSOuLp6RpxQRuRkAznZqx22XWQEXySpOug0QeCztZuM6Fb4TJIRNfSXLhk1MgyDEJzs95Suykhxywxq1VDvbF1JhvV5QBnRpWy6tcHLDjIL8KVWLZMzsAJ5DVVYce17tZFLOExTWypUkaZUWTwuvnsGFj7zDRkBdCQj8osDVmuH10DH9F5JRjC+pph7PGAxkJOnTmQERdjkZOUEGdFJGbFDFTGpCqua1tunTx9xDUqFRPbnMY2MNHdz0LNjaEfdp0+wYd6uXbu0CCdGU0ZgXs3MzEhaGcnMD16j8NfoMraoykignmjP9iZDNGGhGgMLn/mKjEjfCDwjurF4J0I0uixqze1LE803AgOrLufQzrRe3arnSl+HnIztIiOmhGlwnYFsqiEaIC8vT9QckWREdxOuXcqIGqqp2UPUtfc+1v26hGoiO/YmmkkTWYW1Pkvv5pwlkozU4rtZn3jDQ5ARJZuGyYgHkAsFJldZN8BrONWxVxdlRPRPcICM6NTAys6CZzqGaUBEJPFzQhnRmYxE84tIyFANei/prO7YXRFZ9Y200rDWiCAjmQVEWQVJ+UVkFdbODVNxVaCt3mRkZ3Lm1bDvXmAPUc0Wowqf+UoZ0a3wGeoTYCJzkoyoBMALZQTyrUxNtYOM6GhidVoZ8TpMY7d51aQwTWSNERWqb2TZsmXk91Lw0WqNtGgV+kxQc0XHtN5klBE1VFNeU6htFdbK6gCVVyaX1hsrvXfTdtSe0UNljgcmIwabV3XYYdtlXtU5vdfugmc6nDenyQgqzMoqs6YqI0OGDLFum+QbsStMI5DbQ09lREnrTUYZCavCSvpWYS1NoeBZ4/TeYKgGdrctoaVIWzAZMbT6qi477HQgI04oI7qSEVWZsksdARnRxf+TSpjGNDIiv5NIy03lelXJSJVSa0Qrz0gKab3Rao3oWoW1JIVS8KYXPvMVGdGt8JnTNUZ0WNScJCO6TBBOeEZgkCwuLtaCjKifs13KiEpG4N/S4fsYj4xg4e7du3fYY4MGDTKSjMjrCd9HmRGUDNRmeVt25lrfa73ISPJN8iS6tFOrsHbVauPTyC+SqmfEwMJnviIjunlGnK6+6kcyki6eEfXc+dEzYkJGjVrqHUQkJycn7HFM/vIcmURGmmso76a8bO0Won79+lnen+rqatKtY2+zlBFNS8KXNiNMg+ehlIRphc+YjBiujKC2h5f9adIhTOOEZ0Rd+PH+yB7yGxnRPaMG5F2UFY8SookM1aCzrw4bnKaANGWZSZiKXwTIyw1lnKzbSlaKM8jbunXrSIt5NVtVRpJ7vVprJLtlT63mmuY0yVMLnwXTe80qfMZkxHDPiHqR+kEZ0ZGMOK2MRF4rfiQjOmbUxPOLRPON/PDDD+T3tN5I38imbUS9+wy07l+7di0Z7xlR1vT84j5azTUSJTsb96VJZn41sfBZymRk0aJFtP/++9OTTz4Zdj9qfJx99tl02mmnhd2/ZMkSOuecc2j06NE0ceJEsdOwG+noGVHfG/Ui8PmbTEYQzpJyud/JiLrwq9eKl2TEjnPoVzJiQqimuWm9kWQEvuM2nYZqRUYiwzTJKiNqmCa7oKf1/fNSnbQzTANEloT3LRlBNcL77ruPhg4NXaQSL774IhUWNjQ3aABO8jXXXCPIyMcff0wjRoygyZMnk91IR89I5EXqdllju8kIDHfSN+JnA6tOnXslGcF1JMuhp4NnJF6NET+QkeYoI6qJtUVrfZQRhIoaG1iTew+1CmsgJ6TEeu3dipdNk2xmlFBG6sqIancaU/gsJTLyyiuv0PDhw0UvBxWYUF999VWaMGFC2P3z588Xu12oJcgiuOiii0QRIbt3S+kaplHf2+0vlEpGkmHu8SDJiC4NrJz2jOhCRuwM0QCsjLgPuzYHPToqGSd5PbQhI/D4iDmhgYwUFQQ9LskAfWykJ6YmIzRn6aLERsumSaRJXrz0XigjuqbXS2SnMjE/99xzNGPGDJo6dWrYYw8//LAgIsLJqwApYerOA49josL96u5JVVIiJTPs2ERr5DiQRZbkccp+El71lVAXGOyonTgOvKdKRqAmDBs2jNye/PDZg3DaMUZJRvBecqH0sjeIJLYg0naNMZK8YbfnxRhheJS9WUBG7DwGqIH4zJCBIZURnXq8yDAN1LiePXtGPTZM6nIM8XrUeD3XRNuM4PpK9Xi6K6LK7upW1mcAMuLlGK05tcEzApUjleOBbwRqQWUt0ushk9TRxo0baZ999tHiPJbIfWzdLqJATdLnsmvXrqHCZy2HUVUN0badAWpbHPDkWk0kxTxpMvLoo4/SueeeG7bwSw8JLtSbb75ZKCEq4O6ObEuO32Wp9EhMnz6dpk2bFnbf2LFjady4cXGPTU07w5dSOr+9coBLpg1GC5XEKbVGXdSWLl1qpeK5OfmBbK1Zs8aW91TDfN99952ohOmli19OgDguu8YIqDsV/A0vxqiGT/CdtHN8klhiXvD6uxjts5eGVEzc8XbFSPvFc0Fe8BOZAqzC6/GpVVKhIKR6PnPqsfELpr0uW10uSBnGjvHhPVOpX2IH4D0U5CE7GPYualFNa9Ykr2i0ygeZKQhWYc3tSFSzScyde+21lxbncesO+K2yiGpKU/puIqwjoJhYv/5uIw3pGWzd4fYYI6MozSYj2BnghF177bVh94Nh3XvvveL+aFIS0k/l7ksCv8dqNw91Zfz48UkrIwCeA1UFfWHwBcIHjv+9+PLIMWOHmMjJSAX47CPDI7169SI3gMlOhjCQBWPX31XNhPJ68uocqucRn7Odn60axoMy4sUYVV8OFl27rx28J8gIehhh84FCYl6dx0hFT6b1whcSb9xYoEBG0IMJ37doz8X9Xs41EqqijFB6quczR9k77qgoooEDBwoygg0f5mIrDOCFmpXTligj+Bl365iX0hj79SD6aIFSa6RmkzD/e71mAIhC/VIenkkDwpzMOGVBRdXEGsjFe+hzrTaLjHz77beCnZ1wwgni97KyMsHA4P0AUZk0aZK4H19aTODHHnssvfzyyyJPfebMmdb7gChgRybz16MRikSIRzQgpg8TF1QI+UHjfy8+dLVjr5N/XyUjGLtbY8X4pNSXarXHaOjSJbgjk4slFguvziHGh4VUXlt2HoNa4A3KiBdjVD0GOB67/77qG4H6AJVLhwlQrSaKEHK8Y1J71KxYsSLM1BoJr67TaKHh5pzPru0DlJMdoD21Qb/B4coG4eeff3ZtwxMJsfmJKHiWyhgxPnSnCVVh/VbMNV6vGUDpzkBINW3IpIEZOZnjwZoDNaVcKXy2sTRD+GV0uVabRUbOOOMMOuaYY6zf4RkBY7vgggvoL3/5S1jI5oEHHqCnnnpKfCAjR44UjPr111+n448/XtyPL3g0v0hzoZIRL4FFTJIRJzNpANUz4matEbszaaIt0l5n1GD3LCcGO82rkdkOXqX2OlVjREL9jutkEEwkrTdWRs0pp5xCukL9/jfHUI5Fq1v7AP28uaEK6z79wkJBhx9+OOnQsTfZGiPRq7DqVRK+RM2kqU0+rVcqytgI/LBVrTWCeSw5s6+bSIoWwXiKRUf+wNSEEAwkIfV+/A7Ghdv4UKBy3HPPPcL4esQRR9CCBQvo9ttvd2RAcsEAGfHSPaz+fSczaaIpI6aTEZ0KnzlVYwTA90K+p/pZ+omMRCojJpIRVRlBFqDOkN9/zMGYn5sDWWtkx26irt1DCQirV68mfaqvpra4qoXPKLezVtdnaTP60qhoXIWVtEazigrccsstUe/fb7/96LXXXgu7Dxkezz//PDkNWQcCygTCSH5P6/UytTfdyIidNUZUAoC/4VdlRFcykkiNEQn4JUypNdLcvjSxao3kFvXVIr23udVXo5WEzynsTXs0UGHjdexNmYx8usCYwmf6BIx8VmvEreqrXnaAtav0dDwy4nUhIieVEfVzQzjIiwqQ6R6mgXLblLkcoWak/koyomu9Bhgw5bxjx/dRKiNAXbYeBeyCYZp2KRc8ixamyS3Uqz9NSZTqq6mQS0FGarcR1VcZoYwwGTG8+qqXHWCdUkaQQiszrbyeIJwqeBaNAHjRW0jdDapeHb8rI5KMYMKOrIsUzzeC68FrgpzInGOPMhIKgWwvb2mVc/CDMqJWYc3I62ZtCCKzPr0P05SmrIxY370GEysrI2mqjLgZplHJCP4usplMJiPYrcqF0esFzC1lxCsyIhdW+FesdEAbAZVL1jzw+lyqC5pcuJvyi5hUFt6uUvDRlJG1WwNWOi+UEa/UochS8KmSEbUKa21m6LPSIVRT8kvAvjAN0OAb+aWMqLxST1XPl8qILs3y3AzTRE4+bpkhnSIjaqgGn6NazM5vZERVRrzYcaul4JMpN50oQETkudSFjKjm1ab8IhLpTkbWbQ3ttFGawSvDdaQykmqYRjWxVtfjTfQhzCVRPCMph2kAJb13gzenLT3JSLqHadzcYbtBRrzu2+K0gdVLZQQmb/k3nfCLSMhFDNeLDp1Rk8mkMYmM2P19VA2sICPSN+NlhVK1Y292FlGr8J6sKflGrCqs2igj1IiMpLKGWGEaQzJqmIz4RBnxYoctJz/sqO0mXCoZ8WoX5oZnRCUjbisjmNhlI0I3yAiA/h9ew69kxG5lpHUhUcv84G3UGlGrrnrlG1HDNFBFmqPmqRk1OtUaKZX7n0ANUd1usQlKpZs25ivh81FKwuvsG/E1GZGVM9PJM+KFMgIiYmfr+Ugy4oWXwq0wjVptdtOmTeSnTBoJtVonqneaSEZwPUpPTbooI1joe3YMKSPdunX3VBmBqiYMpkqTvOaga3uFyKAkvGbKSAYyYZpZvE4QSCVMw2QkzcM0ficjdodoIjM7vFRGnCYjqmrgdsqkW2REbfuglmHXocZIok0lsTBLdQQtMWI1+fSTMqL6Riqridp06OspGREbvMyWRJktmu0X0VUZCQQCFhkJVG9p9vzauPAZG1jT2sDqtmfEDbkfGTvy83WCjOiojDjhGVHrcLgdwnCLjKh1PLys3hmpjIAIooJ0opBkBAuGSmh0gRMeLtXEmpHf29MwjV1pvTpXYd1VTqIfUHPTesM2OxymSW9lRIZpUC+juWWZdaxXYXdNAxPIiBOpr7g+JFllZcR5gEDLRTvREI0pvhEnlBG11siezE6eKiORab3NVUbC+tPkBZURr2vIlNpUYyRcGdlMFAh6wzibJg3JiFys3QjReKGMqBOf02REBwMrSENOTo4jf0OGatD92s36DW4pI71799bGM5KKX8Q0MoLr1C7irCojW3bkWfOZZ2EaG5URNUyTW9hbC2WkxKZS8BJB03FdkJBgw6NnvT4BNrA6TEbcCNFEEgI3lAQn03ojPSM6KCNO+EUiQzUw6LlJvNwiI6hwKsfotWcklRojppAR1cNlV82YsFojJSS6tMuQIsrPe6uMNG+MahXWzBbdLDLiZbn/EptqjMRK792yQwkDaQbfkRFUkpRxYK88I5WVlaIwkJvKCEJBcsF0QxlxmoxgAZPj8TsZ8crE6hYZUU2s+JteNrBsjjICs6usJqsbGRHGx4bviZ19oiJrjcjsL6SEu539ZVf1VbUKa5eG6bk+OzhQFFhEWXgtyEitTdk0QENGDXjWJu/KNqUXGVEXDq/CNG6n9UrIScgPyogaqvEqTIOdn1w4nTCvRjOxekVG7FzAdDaxNoeMYKMjX/PDDz+IonG6ANepLChn5/exu3JZrNsSnorudqimkTJiw1dShmpqCAp2luebn9KdToRpQEZC84quvhEmIz7IpInc3UIRcrrSpZtkBLUFvGhgpdapcSNM4xUZgb8gkWZxdpERL0M1qaT1RgvVQP30smGcG+ZVoKBFhmUUVcM0XpARuz0j4SbWUBVWLz1qJVH60jRnfkXTUbGRqtG/1oivyQjkNi92L27XGPGiP42bZMSrYkRO1xiJFqaBidUtyM/U6RCNTmREKiNYVFu2bJn063X1jTj5fZS+EZQS79TZOzIi5tVs+7JpYtUa8VIZKbHZwBpK79W/JLwvyYiU1BFH9SI+7VWYxs30XrfJiBcud7fIiBfKCGLjcnyqWdjPhc+gdEk1KNkQje5kxCllRCUjdfVELYpDpNJtZcju1N7GVVi9JyOlNqf2Ri98RlrCl2REXTi8MCPpoIw4bWJ1g4yoi6TXZMRJz4gXBlZ1wnVDGVHJiFeekR9//NG6zWQkNRMr5XlXEl5tklfcMkC5Oc3PGAovfNZFI2WknmhP8w2soZLw+ven8T0Z8aI/jdeeETeVEWQXOKUaeB2mcbpJnvreqGPiZpjGzUwaeS5l8T+vlBHVL5IqGRk0aFAahmlCi35VoCNlZmZ6aGCVfWnsSV3uEoWMeOsZIYGsemyE6kUosbl+rkhlZCMbWNNHGfE6m8ZNZQSsXU5OdiNdwjSoCSFVIEzwbtQ5cJuMiKZrDS3ooYx44eVqTo0RdXMhz1U6KiNbf8mzTKxuh2m2bd9JlNPWNvNqoyqsOikje+xRRSzltb7Kek9WRtKIjOgQpnFLGXEqRKODMuIWGYnMHHJDzXObjKjhKNTg8YJcNietN5pvBNekuvHwu4EV2LQ9y0oXxRwj6yk5DZDXHWWZtvpFYpWE90oZqaoOUFll8HZd9WbbyIiV3tugjmzchs+TtIMvwzRqfN9rMuJVmMZJZQRpjTLV1i0y4rUy4qRnBFDrN7gRqvGCjEhlxKtQjUpGUknrjWZiRb2RdDGwAhu3ZYcWNxc9TpjHA1mhjZ1dyghITXZDFdaclj09VUZKVfNqjT2ZNNEKn9XsIdquEDtdoN8R+cwz4kdlZNu2UAk/J8kIxiMrXnox6bupjKhmXTcmeC/IiLqIeUFGpGcEn3VRUVHK76NjRo26m7djAYs0ecpI7EZFGXHTNxLZsdcuZQRVWDs3TNGBnC7W/OZFGLHE5lLwjQzyiol1y44GBqYRfE9GvPSMYCF1otNrLKgXrpPKiBuZNEB2djaNGjVK3F6xYkXYztZPBtZIFcivZERVRtzOqEGKv1TXUvWL6ExG5OYDCp7dDR2zszOsrJNNEcqIW76RxqXg7TGwqqGa2kywkixR6l7dcHlDRkptI5Ywx4tNsWJi3bw9m3QDkxEHlRFMDHY1rEq0XLUMJzipjLhFRoATTzzRuv3222+TX5WRdAjTeKmM2JHWawIZcaqsvwzVbNudRR0793RdGYmsvmqXMhKeUYMqrEGF0u2+O06Ugm+c3rshzPujG3xJRnTxjLgZoolcWPygjAAnnXSSdfutt94iN5EOYRpkQrl1nXpJRuwyr0qFR6Zb6kBG9uzZY12rTn0f1YyavOJ+HoVp7GuS11RGzc8//0w6KCPtbTqfkem9W3awMuL7MA0kPjkxeEFG5M4IXhlU2TSdjAwdOtSKec6ePdtVD5BKRpwOt3kVpsH14lRqdjS5WJJlt8mIHTVGJPB5yXojUFxABryE+n10WhkB6nO6eROmsbkUvESXdo2rsHpRmK8kSl8au5SRYEn40LyymT0j/icjWMBknQgvlREnU9TcJCMIcx155JHiNib9Dz/8kNz2jMDsKI20TgGTjoz1O01GcH1KMuJWiCayEuvGjRtFVpZJNUaihWrQ2VkNAXkBN76PPTuFFuzd1a2tAnZehWlsVUaiFD7z4pyWOlAKPpYywmTEJai7WLfJiFdpvW4WPnNjJ6ZCkhHgzTffJLeVEadDNHK3LXvUOO0ZwXdCqmZukxG1YZ6bUrhdab0SQ4YMsW4vW7aM/JrWG00ZWbs1wwq5eRWmsVMZiRam8SLbq8SBJnkS4nzV/kJUFyzJsIkNrO4AWRiyI6eXZMTLMI2TJlY3lRHgwAMPtM7nO++8I0JhfiMjgCQjcPI7qRp4YV71ukeNJCP4fthxPnUysarfc6e+j/1DkRlatibk/0HYVA1nukFGsrPqqTj5hssJlYTPKuihBxmpdcAzAlQFv3PrtmZTdQ1pBV8aWFUTq9t1RrwqBe9m4TO3yQgk4aOPPtqaeOfNm+f430RISBICpwueReve66Q6olaz9VIZcWvCr6iosD7P5vpFdCQjbiiVg3oS5TR4Hhf/FG5GdkMdUclIu6KArVmKqjKS36qvRZTd2vQ06ktDlcHy7XZ7RoCyheK/PXUZtMR9j256khG5+0nnMI3TyghIglQsnIaa4utGVo2bmTTRuvc6SUZ0UUbcIiNq/N8Ov4h8H7kgek1G3AjT5GRn0JBewdvL1xJ16dbbZTIS8ox0bGNvuQS1CmtmfvA7WFNTI3xNXnhGsuqDawg8ZIWFhTaTkW+t+75dQVrB92QEuyKYzNIlTOOmMgJVxK06Km6TETcLnkVTRpw0sarXhZpS7FdlxM60XjUzqFevXhYZcaO5oddK5fCGU1dXT5TTai9XyUjpjiqizKBptkMbe5cttQprbUaIzLlpYq2rC9C2BhE/oJSCt2t+RSq6IKrlC6z7FoQSzLSA78mI26Ear8M0TisjmHTdaJIXLfV1//33F7e/++47xydAL5QRL8iI28oIxiizhkwmI2qoBvOLF72T3FRGgL0V329lRn9Xyci2XZmOZNJEhmoqa9EmIMt138j23Zhbg7frqjY7Mr8KdaQhTAMsZDLiDtQ4v7rLdRp+V0bQIE9mYrhJRiILoDldjZXDNM4AKdK9e/e2Jns3FAU7a4zo6BtxTRkJRdhoe1WwHodbtUZ+Kc92JJMm0sQaoAyrCqubykiJskTVV291pMeQ8PnU7SKqDJLz735Earp3il5aKiNuuL118YyoF7ATyojb5lWvqrG62bE3nZQR1TcCYutGu3anlRGvyYj8nsPDZZfHIBr2VsjI2u2tXVNGqqqqqLquyJG+NPHSe90kI6UOpvVKWKbjsmCoprKa6Ad3MrMTApMRn4VpIIFLEuQ3MrLvvvtS167BHdmsWbOEH8hPnhH0p5Ex4nQgI25J4ZKMYHK3c4OgkhEvukpH60vjpIcLC3arlsEMk2Vrs616Tk6TkWDBM2dqjEh0Vauw5nV1PUxT4lDH3uhkRE8TK5MRnykjTvencaOmQSxgopVGVuyWQEj8FKYBkZRl4d3IpoEJ061sKK/ICNKz5WJppyqiizLipocLPGdwj2Dp+42lRF16Dhe38fk6GW5zsi9NtFojxe0Hux+m2elc9dVY6b3AgpU+CNMsWrRIGAqffPJJqzLm+PHj6fDDDxdy+owZM8Kev2TJEjrnnHNo9OjRNHHiRMe7InrtGcEkjy66XkCa2JDWjEXbL8qIm6EaL8iIGqrB98OpnidelYL3IqNGfX+7yQg+PznPeKWM4DqV2YJuVEMe1D1UKau4y2jxPzxkTnYJj1RGnDSwAkXtBlpzuVtrR2mUJnmOhWmUjBrjlZH6+nq67777RBMzCVyQ11xzjditPvHEE4KcvPfee1bONh4DGfn4449pxIgRNHnyZHISUs4H5s+fT+nQsVdCXWTsniS8JiNHHXWU1RcDZMSpHZkXnhF194JxOZGhgdCWPIcIC3kBN5URu3vSRCp1Uh2BidPJsKEu30epjAA5rfa1bjsZqgkqIx2cDdMoH11uYaiGiluhmhIHm+Q1IiN7SqhFRomV3ltfHzCXjLzyyis0fPjwsB3OWWedJUgGSrGDCKCfCNQTSQYgQZ922mliIbnoootEPwcnpWj8fZlC+Prrr7vi2sffkJ4RL8mIk+m9XpMRKE4gJACKEi1cGJIcTfeMRBY+c8I34pSZ0wQy4sR41VCNJ51eXUrrjaaMVGcHFQR3yIh7YRppYHUzVFOy03nPiGqQz61ZKv7fVU602tkgRcII5UslMUk/99xzIgwzderUmM/79ttv6fjjj7cmHHVXggIsmHRxv/oBSUBJwU/YgWZnJxX2gKschOT9998Xk/o333xDI0eOJCeBnZFMe4VfBAqS05B/Q/1b6qSE3bWdx6FOfiBcTo8x2vhOOOEE0aMGgAIHEuwkGUHXXifHqY5R/T5ggkdfHjuhhhOwOLtxjUaOEZ8nrh0sMljAnTwGNa0XJMjuvzVo0KCwhcutz1NC9YVhJ+30dTqgW0gZ2VETIs5r1qxx7G8HyUiISLYpCti+m29bFKzCWltHtCejvevndOuOxmEau9cQrKHwpGFNqNnxFVHHw8X93/wQoD5dAo43Am3y+JJ900cffZTOPfdcMaHEwjPPPCMKAcn4PkxkkUY5/B5L1pw+fTpNmzYt7L6xY8fSuHHjkjrWQw89VJAR4Omnn3Z8J6/6YKAA4QvqFtSdidruHsY6tcNoc6HWFIAfxa0xquNTyQdUut/+9reO9m9ByMaNCQljlCEo4Pvvv7cKvdkFta8Pwk9uXqPqeQTpwiKD30EYnPJX4TN08jupSulYuNzqYhvNOIsJ3+nzWZhP1LPDHlpbkkMbdkCiQBZKQHgCnfrbQnHKPkHcLsitpo0bnCkw16FVN9HNtqwmtLahwKIb35FNJVBjcimD9lCgbqdj8ys6VoOMVJXMIWqI5n86bycd0MdZb4waRbGFjODCX7p0KV177bUxn/Puu+8K5QS+ESggQH5+vqgpoAK/w80fDRMmTBBm2OYoI8D5558vvCkIn3z66af04IMPkpNQK71C+ZHlop0EFklMgIgHSvap7tbwuJ3HoXaTBSnAuXV7fBjP3nvvLcKAmCxwndld1lwqc/AFwBuVCLO3Y4wq0QJZt/saUsNsBx98sCvXaLTziPAGiALux2fs1HHIUDB2mfvss4/t748Nj0pG1OvUDajhZ3zvnTyf8hzuMzCb1pYQVdfmELXoQ1T1kyDsTv1t0bCuwTPStjjg2N/p0Ylo03ainZXYEGBDVyeUJze+Izsb9uW5tIuqlfnV7nA/Eki++OKLsPTeH7e2ol693AtF20JGEHoBU4NMDpSVlYldOL7wN998s1jwH3jgAaGeqHIz5NGZM2dav4PxIXSixo5VgHTYsVPCMaA2BY578eLFIizkZJxclfaxY3JzUsLfkn9PXZix+Nh5HHIxg7LlZlqoOj4Aqpv0JMEoDQLrhIEVfhEQYTeA8fXs2dP6HZ4Yu68h1UOBxcvNa1Q9j+p3/+eff6aBA0P+A7uAkKlU8vC9d2Ks2GnCm4bMJ5CRyOvUaWzbti3MuO7G3967Xwa98UXDLy33FmQEJMWpv719x26inGCZhA6tEpP8U0HX9kH1MxDIoOL2A2lX6TKxZjj9mYJQluwMksrMhiZ5+JsgInb/7f322y94o2YDFeSUU8WelqIsPDYEbvUZi4WkRnrGGWfQq6++Ss8++6z4Oeyww0T4ZNKkSfT111/T7bffLnwk+IKqgFcDEwOMpNhxPvXUUyJ0EM0vYjd+/etfW7fx9/1eY8QtA6sX5tVYKb7wjThFLN00r7pRhXXFihUWYY0XavWDiRXyvlQOnNqEgIjI9/ak7bzLBtbIsvAFHYKeJifDU1u2hxqddmobCkHbja6KibVL72B4FGQ20r9oN3ZXENXsCW+Sh/XDCRL0q1/9yrpdUP+DVXBtg3OZ2QkjqdFCDsciJH8Qg4VMj0ntX//6l1BK/vznPwvpEj933nmneB1UjnvuuUeEb4444ghasGCBIC5uQCUjIFJ+7kvjdH8ayLRyJ+Y1GTnggAOsY/jggw8s47ATyoibwPdJXjt2kxGEEaUXxu40Vx3JiFM9aWJl1GDRctuD40V2m1oWPrfNSEvFc6o7ulqdtEuHYIakE+jfPaQMFHfaz5rznO69U6pk0tRWbnIkrVf93slSBZWlc7SqN9Is/fmWW26xbj/++ONxnzts2DB6/vnnyW3gw4cKg1TiOXPmiMnYqbbpXpeCd7o/DRZoufPzmowgPIhqrP/+97+F/2j27Nl0zDHH2PLeCCPK3ZDbZET6jUBsMcFjMrRrh+RkzQ0dyYhb442sxOpmyrT8fkNid2vO6d+NqEUuUVUNUW1ucOy4TmHgt2pZ2IgduzOJGnzdCNM4hcGhCCllFQ2zbiP85uQ5VclWbQMZcWp+xXUCdQT1vso3f0bU5hKr3sgph5Cn8G05eBWnnnqq+B+SrROSvm5hGngcJCGxUxnxusaIW9VYvSp4FhmqASGys5GcqhR4TUawaMmsL6fqc7hVU8XLHjXy+sB845a3CadtWENyRHl9F6LMoIndKQUhaCh1rkmexCCFjFRl9nKt1ki0vjTtHFJGwkI1DQ3zgG9XeF/4LK3ICPDaa6/5Pkyjxo/tVEZ0IyNQQuQEbGc1Vq8Knjld+EwnMgKvhTTruqGMuEVG3O5RozbJcxN7NQhbASwhBUMd841AcSmvDmZlAu0d3Bv06kSU1xAF2lHVwbXCfCUulIJXgaQOgaqfKC+rSpswTVqQETiIZXn4jz76SPRs8XOYRvWNwMejpuP6iYygayh6IcndNUJxJveliUZG7KxSrJIRJ7JXUq09APKnfnfsHi+uEyevVzWVHvU23AJ8UnIuc5+MKApFy70cIyPiu+hw9VWJrKwMGtgQZdq4HZmCWa4oI6pnhFwgI6HinwEqzAgS9vUlESXpPUBakBHE3FGKXn6BZSG0dFBG7FRHVDld7f3jJZwI1XhNRpzKqHHL0KmDb0Q1k0IFcjJtEdeI/Dznzp0rajG5AS83B3urCZMOkpHIJnlO9KVRIcnInroMyi4a4JIy0rgvjZPnE9muqFAOVG370rp/gcfqSFqQEUCSESdDNZKMIBYuT7afMmrUSVZtkuhnMuKFZ8SpMI1M6wXZiVVw0C9kBLVLZNVcN4jXxRdfbN2+9957ya9pvZFhGoGC4Y55RiKb5DmpjESaWDv0OtRSRpzsbeZ2mCYzM1P0lgOEibUBXodq0oaMQM6Xu1wsWk60Z1eb5HldQMYJZUSVoO0sMd8cYKGRMjkqC6pFoPzgGbErTINrU342XvtF3CAjbqtAaP6JcJBsh4FMKD8rI53aZlBH6dEv3NsxZUSQkex2rikjqom1qGMwvRfZenYmAsQP05Q4TkZkdquAUon125UcpnEFqHWCVFC580W1WKeUEa9DNJFkxI4vEnYGkoxgZ+3FIh0LJ598svgfO2FUY20u/Bim0cm8Go2M2J1R43Z3YiihsoUFNjoPPfSQr5WRMHUkp6P4cYyMNCgjWZm1VOSwoBeW3lsYUn+dDNWEKyPbXCGXUhmhih8oJzO4MecwjU9CNfjSyEXMy7TeaGEaO5QREBqp/FisWhPYHarxmozgb8pS++lCRuye7L2oqXLBBRdYbSz++c9/hvWqcgLq99oLQ3mkbwTHY5dZPppnpLhFteOKs/SMAJUZ7qT3SjKSl1km+uG4oYzstVfQ54O/V5gZ3Ais2kC0s8w7dSRtwjTAcccdZ00WKA1vZydW9ORRq4N6DbvDNDr6RdSGb9LbAWWkuSE4r8kIJlwZqgEZsSNerVsmjVQQZUl6J8mIW2ZdbADOO+88cRtEJLLzuJNhGm+UkcYZNXZXDd62LaSMtGrpTIVXFVBeOrcJ/p3tle1dVUayKTTvOE1Gevfubfkaa7Z/Zd2/MPS1cR1pRUYw8R199NFWLH7+/Pm2sXfZERj1E9Crx2vYbWBV/SK6kRF85iCa0u+BSrsmG1gBSUYQr7Zjh62jMgLSJdURZL7YWU5cjhcTrvpdcBrqdx8bFCe8abqEacKUkQJnMmo2l5YTZQY3kO2L3dm19+0SPGe7UGytwa/ilDJSXRMQvWmAzLqQ383pUD9MrLLeiJMm1uVrAnTmjYlt+tOKjACnn3667aEaEBG5YFx44YWutWX3ShnRLUxjd6jGawOrE74RuTirBEAHyGMBEbFrVw0CgGwaqYq4aSaHsVt6mDAeJ1tgeF33Z2hvLGrOpvdu3hZqPNihjTvnsW8XhRQXDHKUjKjm1frq4KYRRmg7utYnXIm1PFSJdYHNJtaZnxK98r/Enpt2ZAQThZyc7CAjWLhkiAbVQP/617+SDoDMJ8dphzKikhFdMmlUQBmRPVyaS0a8DtPYnd6LMI9M60XVUzS81AVO+EagssgeSl6oQFdffbV1Gw1CnUoL9VoZyc/LEH1qBEQV1izb03u37gjtqru0d65Jnop+DcoIUNxpf0fDNNH60rRzOETTmIwspsyMOkeUkZmzE7/2046MoEkePAZygZWTdKqAa14uXjCwIRanA1DrRF7UdigjMkzTpUsXLQy6kcBY5XlFSW7VM5As5PnEZ+hVPQ4703uxg5Zj0iVE42RGzeLFiz0t7nbIIYfQgQceKG5///33oqu0k8oIOj17dZ1aoZqsfKL8/rYrI9t2hZaobh2dVwvUMA1Q2DFYrRRNACsqGuIpDpGR6rINrpIRqxJroIaKsoIkctkaoooqe8jzynUB+i6JaTjtyIidWTWY4O+//35r4dJFFZGQsfLmKiMgM3Li0zFEIyHl8eaqI3Lhhl/Eq3oxdoZpdPSLOKmMzJo1y7o9atQochu4Zq655powdcRPfWnimVjtJiM7y7NdV0ZUMpLRMuSPc6KhY1iNkZqtrpIRGNll1l7tL/PE/8jpWGRTROrl2ck9Py3JiF2N8x5++GHLX3D++edrFYtXJykwehgh/ZhJ44RvRJ5TL2up2Bmm0ZmMyP40dpKRDz/80NogjBkzhryaY6QqA3L07beh4lJ2AJmAsoidl32iItN77Q7T7K7Kc63gmUSXNnVU0BDJrKRQ4REnfCPRqq+2d+l84vuxzz77NDKxLghNF83CS58mp7CkJRnBhCx3+F9++aWQ4JIFDKv33XefdVJvuOEG0g12mVhNISPwssjFbfbs2SlloSC+L5URXchIc8M0Oqb1SsDsLdUnO8gIFsMffvjBUkVkVVS3gTnhyiuvdEwdAWGWvhhvlRHllwL7lZHymgLXSsFLwHo2qKHeyC9VbYgychwkI8qCXet8KfiYoZqykIn12xXND9P8tDFg+U+G9kys9kxakhE1VIPF580330z69Y888ohVBAy1BdB8SDfYVfhM57ReFVjUpDqC7IxUYvVQkeQk7yUZwe4IKct+V0ZgppUhKTvIiFRFgF//+tfkJeAhk0ThpZdesjJ8/GBelejThahlfsMvLYeLLsKqAbw5QAG1uow2risjaln4+kAmUYt+jplYvSgFH5WMlH9HGRSwzcSqhmiWzr4todekLRlpToovvnBTp04Vt5HBoaMqko7KiB2hGh0yaeR1JRdpu8gIdutqWEQXyPAmfEn4btlFRo455hjyEjCWXnLJJeI2CK70l/khrVciMzODhstLKr8faqjbpo5Edux1SxkBpDIiUDDYpTBNievn08qoqa+gwqxgP6XFq4lq9jRPHZmphmhKX0noNWlLRnASpBSOmG4ykv4//vEPqw/Nb37zG+12m3YXPpNkBJlIbrL2VBsiSlPWO++8Y6kcqdQY8argmYS8PnGtpVpmG8qfJCPI9JJqix8zauCjkOZVEMn99w+mZXoJdPMFKQGefPJJa97wizLSuPjZMNt8I8G+NKGFua2LETe1YV5O8XBXPSPtXJxjBw8ebF2fgd3BIqA1e4iWNkPEW7M5QF8vC97OqlxMVJVYSk3akhFI+jJUU1NTk3CDtbKyMqtFOHavN954I+kKO5QRmOS2bNlihCoC5OXlWTtijHnevKBL3DRlJDKjJlXfyObNm8U1C+hKmu3KqFm4cKGlGBxxxBGi7o/XwC73d7/7nRUCRM8aPykjjTNq9rZNGVGb5LXIqqCcbPcy29SGeS07BNUDhNmS3dwkSkZyMmuI6itdJyP4jkgTa9nmUHWy5oRq1CJndVteSPh1aUtGUk3xffTRRy0X+znnnGO1r/erMqJ75VW7U3x1IiN2ZNTo7BexO6NGJ79IZIl4WZAPGXhVVVX+VUZaDnckTNMyr/mfWTIYEPrqUUZDmAab1uaayWN5RvIyQ+FJt9Vnu02s4SGalxN+XVqTkcMOO8yS4t9++21xscUD0mOlKgJlRWdVxC5lxCS/iMQJJ5xg3Ya3Z9y4cfTyyy8nVLSIyYi5yohqWNaJjGB8Z511lrgNlfE///lPs94P5my1/5L3yogz6b1bIRtkB+fnVgXx52a7gdTeXp2DtyuU9F47Taz19QHa1uAOyKZgMoQX5zNUiXVhs9N7N5QEaE5DzcG82pVElT8kXKsprckI4ufS8AjPyCeffBL3+Y899pi1qJ999tlalkW3WxkxJZNGBbwthx56qLiNXSgyGbAY4PM499xz6dVXX43pwdChSZ6d6b06p/XaSUZAND///HPLG+NF5dVES8RjQ5Nqx3B4mkC2peKHeD/i/l6ibXEGdWnbMJ4CkBF7lJH1W0Lf0TaF9oZHkgnVVNflE+V0tN03sn1XsMgYkFG7zXtlpPYXapm11ereW1cXaFaIpnrDs0kVHkxrMpJMqAaT3ZQpU8RtML3JkyeT7kDnRykPp5MyAjzzzDM0ceLEsC82lC00LjvjjDMEMRk/fjy9/vrrYbK5Dk3y7KzCakKYBuRRmuhSJSOfffaZpWxCFfGqcm4s7LffflYBNrSgeOONN5J+D7Q4OOigg6xwFDZT06ZN8zxMA4wY0LCU5LSlnzfao2JsLKnxJJPGrYwa1bwaaGiSh1R3t0v7Y163+lWVBYvzVVQRrVhnT4hGzXCMh7QnI2iwJk8EFqZYO5bHH3/cUhfGjh1rxMIMIiIX4+Z6RjDh6TDpJQo0hMM5g4ET8v3vf//7sLbcMHX+97//FWQUiyEq6GK3qZI2P3lGsHDhM9ERaidhZNOkohro6heJ10AvGaCIH/rdoO+SlPI//vhjQah1gBqq2bCzXcrKj4ot20Pv0amt+2bkwb0UQps/2PYwzVplSq6pCH6/vchWhIl1xIgR4nb5lqC6mEqoZvO2AH22KHi7ZcZaoorg2sFkJEEgDVROXqjEGi37ApK+VEUAE1SRyFBNKsoIDGSyOq0J5CvWFw3nFztIEBNkTSG7QW32hxAd4vgwvkpPkA5kpHPnzpaylUqYBguCbBiIxV6H7JJYkGQE6kYqFZElGQGxOfLII0lHHH/88ZYJHJ4P1fcRD9OnTxfXsEwLxnfxq6++Eg35dMHe/UILd23uIFuac6oFwbp2cD8lXc2ooYJBtisjX4Yi4FRd+qWn/h87TKyvfoZSAsHbleuDIZoePXrQXnvtldDr014ZSSRU88QTT4iFDDjzzDNp+PBg3rkJkGoGCFWy/WlMDdHEAtSBY489lv71r3+J84k6JBdeeGFM0uE1GcHxQrVJVRkBgZHeGF1DNHZk1OBcLlq0yAqH6FoLB0TpqquuSlgdQRopGu6BPO/ZE2zehusXJEa3PljhJlZ70nt37M6ybvfsIsu8ekNGWrQdYbsy8uXS0GJf98sX4n+vrl3LxNoQpkklvVcN0dRvedFSRdjAmgSwI5Y70EgyAj/B3Xffbf1+0003kUlojonVxLTeRJGbmyt2qth1IsMBLQF++9vfWr1MwOh1mPBlqAYLrlyQ/OQXscPE+tFHH2kfopFAkcSuXbtaYWH4R6IBYUR4m1TC8n//938ilOg1SY61cGdmNJhMC+xJ791ZmWvd7t7ZfTLSuR1RkbRv5AeVEahTqq+sOZk0XzVMr+2K64iqVntKRixlZM9Wys/cboVpUDQxEWzdEaBPG5JxinO2EJUvSipEA7Ay0qAejB49WnwgiMnKuCwAeV/Kxighv/fee5NJaE56r9+UkXiF0vClefrppwUx+eKLL0SXVR2qlUoygklBqnOJIl3IiAl+EZUEX3bZZdY5lW0lVGAhRwhGmlxRxh9Vnx966CFtQ215uRnUpXVDrYyCIfTzmubX4yivbhHyjLRx35CMHb1UR6qoM1FmC9tCNSvXQ/kJ3h7WI1RjxKswDTabmAeBzMogkfiljOjnBCOmr30WygyqbVBFYMRNJmTKZCROqAaqyF133WWsKtJcZcTEtN7mAmbmgw8+2PPaDXZk1JiQ1ttcMoIFXZIRTH7INtEdf/zjH6moqEjc/ve//21VOAa+/vprOuCAA+i7774Tv0MFeffdd0VZed0xqHtD9ktmLn23IrX2BapfbXdVC0+a5KkY3EveQsO8/raFauYqfpG+HUKbRK+UEWy85Ea7fMtnSYdq1BBNxZqnxf9HH310KEsnATAZiUNG4C3YuDHYPOjUU0+1yuammzKCLBSV1DDMyKgxSRlJ1TMCwiyVS/Qlkrs7nQGCAUICVFdXiw7gwAsvvCDGIBUwdAL/8ssvtVd7JPYdGFJtlq8PhVhSAfxcgey2nqb2AoN6ZDiS3vvlktDi3bUoFNLy0u8U8o0oJtaVTYdptu0M0McNL2ndYoflO0kmRAMwGVF2ZpIZwqmOFEPTVZHmKCMo/iUzOCDh6Va3IV3QnMJnkoxgd6K+j46AqoHsoWSb5enUpTcZIFQjQy4IwaCaM9pLyJo3qA6NecjrgmbJYPQ+oU5267Y3jz2gMKHsS5ObXU8t3beMNM6oafCN2KGMfNkQAYdVsXVWaNPgJRmJllGzIAFl5PXPYbYO3s7d9VbUStiJgMlIDHUEE4PcicLgarHGNFFG0sUvojtSDdMgE0Pu4LDDlgZtE9QRKB2JlO43zS+iAuQQZlYZkvjb3/5mPYbsGYxL16ygWBg5OOSx2lYVNOmmAmSAvfvB/4jygjGSjm0yPNsMhcI09qX3llUE6PufQllIZTtDXjAvw8MWGaleS7mZweaa81c0bWJVQzRbl/xD/I/1Up27EoH+M5RHZASxW9NVkUgykowywmTE7DAN+oPIiqS6h2ii+UbQIbUpIMSBYmAAMlRMI81qmi+ABRf1jJ588klhdDUNPToSZQWCZszqrAGih04qmDVrFlW0uoAoO2gUOXwf71TZ/t2C6gWQVTjMFjIyb3nI7DlqaLAzuoSXBBQlK6RpP7sqaGLduoNoU+jwGmHH7gB9ND94u01BGVHZvJRCNACTEQXwhERWqYTUhNoFpkIN06SqjPgtrTcdlBGT/CKpmljnzp1rKSgwy5kWSkQxKLkBQvFFeNVQpdW0cUjguFvnNFyjeT1p2crki9cBL77yLlH3YLXaDArQDb/N8DRLqE+X4O1A/kAr26mppqqJhGiAUcMyqLS0VAsyAgIsC5RVbA3WPWnKxPrmF0R7Gjhnm7pZ1v1MRmz4MqnqCHDzzTeTyUClUaQGAqyMmAf0bJETVDKekXQgI7p26U0GyKZBrRsUbTvllFPIdHRtHdpGfzY/1Ik2mfDiK3M6E+UEwxVnH1lPQ3p7S86kb6Q+o4Aot5uobLxmzRpbzKsHDdNHGYnpG1mZWIhm/cKHxP/wflnvkwRYGYkAaomofWuQZmcy4BWQcchklBGZ1ovOtdJYyPBWHQEZSbTnh0lpvamSEdUvAmXERKDIHqoA61Bgzw4M6Fpt3f5mWeh2ovjok6+pvM2fG36rp1sv8r6uSrSy8KmaWOG/kGm9bYqIBnQPkZGsrCzPC9qFyIhaiTW6Z2RXeYDeb+ie0q6wimpKgyHTE088MSWPWspkBEx+//33F/FNiRkzZohJAYVOHnzwwTDjCxY3mEJRXAzdVFPpP+EGkFoHZzt2KSgD7wdI3wjISCIV9dCrRVZQ5EwafXwjqMCaKKE0XRlpKqMGE/j8+cFgNbLgmDDrAat7L0K9a0Ll3BPFbf/6RXT+BUYP+JkGqqm1HmFQT7VhXvNMrKs3hbr1HjgUm8UMi4y0a9fO8xCdRUYqV1F2RmXcMM1bc4hqGopCd81Fb51AyiGalMkIdmf33XdfmGHs888/p5deekkQkhdffFH0T0C5YwDxNfRYABlBp0l0CNS12Rwuhttvv10cO0qC+wHSN4K0QZSZbgpqBVrTTIF+RCrpvZKMwIvQpUtD0FtzwIQqjZtN7Twxj0hibWqIxo84aK9gMTdgTWko1TcR7NhVT1+uGxX8JVBLD0zSo/BguDLSvFojanO8UUODxEN6RtppkD0FE2sw5TxAuTXLxH1rtwRricQL0Wxe8qj4H9/fVFXKlMjIK6+8Ig5aLVSEIjUIcWDiRFjgvPPOE/cB2MHApQs/BooSXXTRRbRs2bKUOpEynE/vTcfKq34ysUJBkcpC//79Pd9tJQpIu71797bISDwVzw9+ET9iyMCuRFXBTKjSis4J9zYB/vroVqrPDIYpumR9RPsN86jSWbz03mbWGlGb48Evgg2iNGG316DqM2oSyUawFSVfxPSNID353a+Ct9sV7aGSVa+K20cccQQVFham9LeTDsihSdBzzz0nFBC1rwImP3SUlMAkKNkjTpwqFcsiTLg/Wi4ylJRItzLYWrLpbjK+nmic3UQkMkaVjKC6o5zwEyEjKLrk5efH5zCoGEggfNbU+cD3SqZV4nuow/Wf6HnEBgfN4zBB41qVXYtjlYDH5gahX6/HyNdpEOJ8VbxH1KI31VIBrd4YoN5dmiYk23cRTX+/QUmp30MTT9jqyTmNdh7bFgX9HaKXjKKMpHJ8cxeHbu83KBC2OWzbtq0rY27qWkWNkIULFxLtDvlG5v8QoCN/FTqPb84hqmpYovu1WkTbqN7yi0R730Q8JEmTkUcffZTOPfdcq7eCBCYPSMISuC3bl+N/9TH5eKzCRnCXo0GdirFjx9K4ceMoFdjRQVJ3xBuj2vANKbtNyfYyFg/AUNUc57hdSOdzqJJwnL+mzgca/akhOh3OX6LnUSXOCPVGKzaIjY8cE2LcybY5cBLpfJ1KFGb8RDIYPOvLrXT0r5ruUzN1Zmuqrmswb26ZQb8+dLin123kGPt06kQ7drcgyutBlNlSkBHUwklGdayqyaCFqxD6z6D+XWto5/ZNIkIgkZeX5+qYY51Ha7OqmFg/X1hO4w4OpSD/512oOME1ffvK0FoNC0a0MahRFFvICLwEmAyvvfbaqOWcy8vLrd9xG2mJAP5XH5OP4zXRMGHCBBo/frwtygg+cHg/TKhAmQoSGSN2x+quslcvVXdsDFlwCk5/ZBN5KfPzOQy2k5fYvXt3k+cPBmQJLNZNPV+n84jJ7JlnnhG3sVmJduwy/CurI5s0PpOR6Bi7ttpG0vO4fkcb6tUrfl+r0l+IZnzYsJuur6Hhrd+kgw76A+k0xr0HEH27quGX/IFUUb5ArGvRlLtY+OJ7otqGsumH7pMrrlvVe9KrVy9XruWmziM8H6LQZ+VyyszYQ/WBHFqxsSX16hUkH+WVRLO/Dz63bVE9rfp8upXsgG7TqSIpMoK26mA9suY8JkmkI8H7AeazatUqkY0C4ENGGWrpkp85c6b1PoiTIfYdK50NpMPOCoT4wP06QSQyRjXTAM7teJ8FzqkkI/CLyBolXiOdz6FaiA/ftaY+B3wP1TCbTp9bU+dRzhkA5ppoz/3oo4/C+tGYND4/oKkx9u9SQSsaGhF/s6yKMjPjNy+8/6V6Kq9qeL/N/6KzLxzl+WcYOcbBPRGiCITSe8sXCIUuGXP418tC73HQsAyRSYNWAKoqmOniuGOdRxT/xLxfV1dLeXt+oMrs4bRiHVFZZQYVt8ygD+YFqKIqOI69uv5IswO11sagOcef1CvPOOMM0cDo2WefFT9o5oTwyaRJkwRBgbEVJAMLHh6XpAW7M5RuRoYKvCBPPfUUDRkyJOna9QznS8KrmTRceVUPQKGSprBETN8mpvUm2r0XXhhk0kjDn4mdtP2OIb1ziOqDNUYWr46/xGzdEaCHX2n4Ba9Z9/dGhSd1gB0N8+Yqxc5QBh7QqeCZBBQfOfdXlc6x7v+uYY8zc3ZoHPVbXrBup5rSmxIZgfEUE4D8QYwLBw7/COSZs846iy644ALx/6hRo+jUU08Vr4PKcc899wjjK9y2CxYsEOmzDP1KwnNPGv2AMJkk7iD7TWUoSDICEqMSUT+QEfSMkmEoyMle76AZjdG7VzeiimDN8/Xb8qmqOvb1es9zASH7C2x6gvr1aKHlJii8YV5q6b2yDHxRAdHQBluGLqXgY9UbCewOVWJFvZHK6oCoLwK0LQrQgk8fCN5u21as+c1Bs8rb3XLLLY28HviJBlxgzz//fHP+HMOF1F5O69UTyD774YcfhNdq586dojJuNEB5lAYyqCKmpPWqhmlMytgxRiMjpnbpTSeI+kzli4kK96X6QCYtW0O0b5QiwJu3BegfwYxQorpKovV30+mXjtfymu3blSg7q8Hz0dCjJhkysn5rgDY0TL0HDEG11QxtlREAxnEkkqgm1gUrA/TB1xlU1kAeD+i3id57JxhmQhSkuSF93lakAbBwBQvZNB2mYWXE7O69WMBlap1pIRoJ6SXDOBHeVcFkRH8Ij1N5sOsr8H2MaMaU5wJUKU/v5seJajZpGaIBcrIzqF83NUyTkVSYJqw5nlK6SSUj7TWoM9KoEmv595RBdZYyooZo8sreti1EAzAZSQMk059GkhF4FPxSgdYPUP1V8XwjqNEhYToZQThKTRNEeObLL1F2mmjQoEF8fequjDRg0Y+NwzQbSwP0z9cafqmrIFo3RYSTmyv1u+IbycoXXYmTUUbmLlb8IsNCyo+uysiIESOCIdBANeXVBce5dA3RGw1VA1oVEn3/v2CIBoqIWmMsVTAZSTPfCJSRWJ4DpFLKyp3IpNFRLk1XJKqMmGxebapHzSeffCK6ugIcotEXWFTz6lbEVUbuejZgFc2iTY8S7dki+oHpkr2XSFl4FOWLVSsrnjKCnjQSqmekTZs2pAtQdkNW367eFtwA4Ku3q6FCx5i9dtJPPwaTHQ499NCYYeNkwGQkzXwj8BSgVkWsTBpJVLgMvPlkxJRuvYmaWNUQDVJ6GXoCm5ieXXKJ9gQX2kU/NvZPPP5G8HZ2RhXR+nvEbV1DNNEb5gW/W4mEamr2BGh+Azfr342oQ+vGykibNm2sULoukAUHA7tDRTAl2tZ9Yt1GSq8dYDKSJkgkvVf1i+joaE9nJNosz2/KSDQygkl7zJgxnhwbIzH0FKGaYGWszdtR2Cykxv79mYDV7TW75AlBWlCR+6ijjtL64021Yd7ClUTVDSrQqIhpVe3Yqxss30hZKKNGZgOtmvdPW/0iAJORNEEi6b1sXjW/WZ4kI0i1w49fyAi8I9IPA19BZDsKho6+ke8bhWrWbgnQtLeCt/Nza6lq5R3i9vHHHy9KR+iMQSnWGgk3r2aE1cxBrzftyUj5d6goYt1/7H41NOeLT6wNj10KLJORNEEiygin9eoLGJBlVeJYZAQ9oGS/CVNVEbmQSe+AnOw5i8Z0E2vw/789HaA9wYKdtFfbT4hqg8oAOr7rjrbFGdSxTTgZSUQZiezUK7F9+3brdjsNyQgKCgrfYF0Z5dWH+tj0LJhnebfsUkUAJiNpgmSUEZiX1BLkDO8BZ7tUR2KFadSJ0WQygjCM7NEBMqJ26QXYL2Jiem9AdPB9qqGtUHFLok3zr7XOt6zWrTsGyQTDvK5EWcWJKSMNTdDz84j26qd/Wq8EQmdoJwHs2RI0+XRtT7Rh8VPWc5iMMGwvfIZdtfxiwbzKlS31gyQj2FFFc/H7Ia03MlSDdF5kHMyaNcsqirbffvt5fHSMhJSRiiVEgXpLGbnj6YDVKO6cQ7fQup8g/5Ooym1HNobrlVjzBzWpjGzZHqDVm4K39xsUrFciIa9poFMSDfe8CNXU/3Q9/f381fTJA/X04ftvWBWem9MYLxKsjKShMhItTIPqnrJYFmfSmGli9UMmTbSMGvS8krvII488UrusA0YMMlJfQVQVXKy/+5Ho3++HalS0qfi39Vzds2hUDFYzagoGi9RzGbKIp4pEmleR0ai2RBk3bhzpCMs3Ul9Jbetn0ZY1c63wEmqL2NrQ1rZ3YhitjLB51V9kxC/KCPD4449bt7m+iBmwCiY2+EaQPSPX7CvPzqD33w41WEN9EVMQbmIdSHv27Imb3RbuFwkRmalTp1qbQhCR/TRV+ywyQkTz58+nt956y5EQDcBkJE3QlDLCab3mZ9T4lYygsaYEkxEzgGwnEXpRfCNAmyKiU/dfQwsXLhS/77///mEkW3ckm94brdjZli1b6N577xW3ofLdcUcwo0hHWCZWlIP/9luLjOA+u30+TEbSBIi15+TkxFRGOJPG/MJnkoyAeCKe6xcyooZu+vVTHIAMozJqgKvPzaCPP3jNyBAN0LszUW5OYum9tbUB+npZ8HbPTjB/Bhd1hGfQ8BKYOHGi1huHoqIiK+SLTYHctB500EG2m26ZjKQJwGTlxRNPGcnPz6fevRv6WzOMCdOUlZXRpk1Bp5zOk1tzyAhUEW5RYBoZCSkj7VoRXXIG0WuvhciICSm9KtBtd4D8Gub3xz0xlZHFq4kqqsKb42HDIMOOyFa56aabSHeMbAjVqN4Yu0M0AJORNAzVQBlR+9OgM+qqVavE7SFDhnAmjYFhGnn+/EJGUB4bap4KDtEYmN5btYpo+3uUmRGg+y/JoOqKbfTZZ5+Jx7HjlqmjJsEK1WTmEbXoHZOMqCEa6Re58cYbRbEz4KqrrtI2iyaWb0SCyQjDFhMrTFc7d+4MSwnlTBr90blzZ4soRpIRP6X1AlBA1Iwa/I5MGoaBJtYlJ9Kzf3mTfntshvAcyLkGIRoTla5I30isMM2XS9ROvUTz5s2jF1980doYXnnllWQCRkaQEZDM4cOH2/53WBlJI8QqfMZ+ETMAzw8ISTQy4qe03mihGmQbmFrentKdjMC0uWmN+F8N0ZjmF5EY3CsjoVojcxvSeuEx2ad/gK69NljkDUB4xpSWBvvss08jVcQJEslkJI0QqyQ8p/Wa5xuBIx8Klx8zaaKREa66ah7UKs5oU4BCfR988IH4HeGJAw88kEyEVYUVyB9EO3bsED8qtu0M0IqGCur7DiD69JMP6JNPgv1c+vfvL4yrpqBVq1Zhc4oTIRqAyUgaIZYywmm95vlG4PmRhtVIMoLJzg+QnXkRmjrrrLO8PhxGM5SRtWvX0vvvvy8qPQOnnnqqsd60sFojBdEzamQWDXDg0HBV5G9/+5uV2WgKTjzxRGv+capjtplXA8PWwmcyTJOXlxcWp2eYk94ryUjXrl2FS98PQB0D7KTnzJnTSCpmmGW4hjLihxANUNwyQ/RoiVdrRC12Vrv9C1q0aJEVbjSRWN9555300ksvCfMxMi6dANdVTvPCZzU1NdZCBme77JbKMCe9F2ZkSS79EqIBEJfmDBpzgc0NPE6bN28WZdOlyRpeCdPNyAjVbCyFkasDUXbbRsrIXKW8ymtPX2fdnjJlipGKUH5+vuMkyrxPhWGrMgIiIvPHhw1TmicwjEnv9aNfhOGvUA08TrKnCRQvEBWTEa9hXn19gL5qCNMUtyijjavnitvHHXecaArIiA4mI2luYGXzqvlhGr+l9TL86RvxQ4gmVsM8lYwsX0u0K1hglSq3fmqpfHfddZfrx2kSmIykuYGV03rND9P4Ma2X4U8yAuPm8ccfT6YjvGHeoLAwjRqi2bMtWODtvPPOoxEjRrh5iMaByUgaAf1KpIublREzAYOqBIdpGCal9wLwikRW1jUR4YXPBgmDLvx3keZV2vUV5ebm0m233eb+QRoGJiNpBEiFakl4NUyDLww3ITPDSNauXbuoZATnl88hQ2dlxA8hGqBHR6J8aXvJHySqyq5ZEyzs9mVDsTMK1BKVfUOXXHIJ9/tKAExG0tQ3AjICJi/9BoMGDRLtrBnmhGo2btwoJkFJRjDxt2jRwuOjYzBik5FTTjnFFx9PZmZGKFST348oI0f4RnaVB2jJzw3KSNl31Kool/761796eajGgMlImkEqI2jW9M0331hVPIcObWgryTAmowbnbvny5Vb1RzavMnSD2gEcFVfVMKPpsCqxZmQTtegryAiKnQUCDebW3V/RddddZymZjPhgMpLGGTWzZ8+2bnNar5kmVlliGmAywtANqDNyxRVXiPDh3//+d/ITojXMe+HdYKgGaJO9gi699FJPjs1EMBlJ44yaTz8Npp0BrIyYAyYjDJNw33330apVq3xXYyNaw7yXPwhVRb7qj4dQQUGBNwdnIJiMpLEy8vnnn1u3mYyYWfhMJZSc1stgeNQwr2Awvfvee7SjNphan1W/g66+5Aw+HUmAyUgakxF00QSQ7uuX5mrppoxs27bNus1hGgbDPQwM6947kGoyehDlBJvW7Nu/hnJyOCEgGTAZSeMwjbqjNq2LZDpDJSMS6HfBTQ4ZDPfQMj+DenZq+CV/MFHxQdZjpx4pH2AkCiYjaayMSHCIxnwygqwF1IphMBgehGpy2hC1O9m6/6Bhip+EkRCYjKQZoikjTEbMq6RbWFgYdh+HaBgMjxvmtT1J/JeRQbT/YD4byYLJSJohmjLCab3mqyNMRhgMjxvmZQZLsg7rTVTckpWRZMFkJM1QVFTUqH03KyPmgckIg6FZrZEGHDTciyMxH0xG0gzoX6KqIygBz7tqs9N7AU7rZTA87t7bgFFDWRVxhYz87W9/o2OPPZYOP/xwOvvss+l///ufuB99Tu644w46+uij6aijjqLJkydTeXm59bovvvhCNEk65JBDaNKkSbRr166UDphhr28ERISNj+aBlREGw3t0bU9UmB9+36hhXh1NmpGR8ePH05tvvilKid90002CdPzyyy/04osvij4ZM2fOpDfeeIO2b99O06dPF6/B7RtuuIGuuuoq+uijj0So4J577nFiPIwEoCojHKIxn4xA3erVS3XSMRgMt5Rm1cTaqjB66IbhABlRUwhxItBwDR1g0UH0oIMOotatW1PLli1pzJgxola/7J+BRQ+qCLqKTpw4kWbNmkVVVVXJ/nmGDWAy4q8wTd++fbnjMoOhQSXWA4cEO/oykkdKJeLuuusuoY5UV1fT6NGjRfXOk046iR544AGhgoCsgICAkACrV68Oq/CJiRS7ufXr10et/ImQD37CDjQ7O+lwAtqrq//7EamMUSUjgwcP1vrz4XMYHWr3U3yHdD6H6XAe/T4+gMeYABkZqv81UO/BtYqijI6QEbRFvvrqq2n+/PmiORAUkh49eghVBH4SYNSoUXTmmWdaZcc7dQqvSAf1pLKyMur7I7wzbdq0sPvGjh1L48aNS+Vwad26deR3JDPGkSNHinOGehWDBg2iNWtCnSZ1BZ/DcCDUidAMzh1IvwnnMB3Oo9/HB/AYw/Gr3jmUkdGFIIiM6r+J1qzZQyZgnYvXaiLVoVMunp+VlUUHHHAAPffcc4KIvPvuu0K9QOOuQCAgzKwPPvigMKuic6FqZgXwe35+hPOnARMmTBDeFDuUEXzgOL5EmJmJSGWMWMSgaLVq1Ur86Aw+h7GxZMkSER5Fe3bd4ffz6PfxATzG6IBd64dngsXO+iqKpa6o1/RabXYnn7q6OhFuWblyJV1xxRVC8QBOPPFEevTRRy1WBI+IBCZQeE2ilbUGQDrszPDAB67Th+4Ekh0jvD8mgc9hY+C7Zlpatt/Po9/HB/AYG2OA2jTPEGRqdq0mdSRlZWX03nvvibALyAQyY7755hvad999aciQIfTOO+8IUyrCL7gt/SBHHHEELV26lObMmSMeRwgG6b8wszIYDAaDwUhvJK2MvPrqq8LAilAMZB6EY+A7uOyyy8T9UEQAEJQrr7xS3G7btq143t13302lpaUivHPrrbfaPxoGg8FgMBj+JiNozvX4449HfQyEY8qUKTFfi7Re/DAYDAaDwWCo0CdgxGAwGAwGIy3BZITBYDAYDIanYDLCYDAYDAbDUzAZYTAYDAaD4SmYjDAYDAaDwfAUTEYYDAaDwWB4CiYjDAaDwWAwPAWTEQaDwWAwGJ6CyQiDwWAwGAxPwWSEwWAwGAyGp2AywmAwGAwGw1NkBNDxjsFgMBgMBsMjsDLCYDAYDAbDUzAZYTAYDAaD4SmYjDAYDAaDwfAUTEYYDAaDwWB4CiYjDAaDwWAwPAWTEQaDwWAwGJ6CyQiDwWAwGAxPwWSEwWAwGAyGp2AywmAwGAwGw1MwGWEwGAwGg+EpjCEjNTU1dOutt9KJJ55Ihx9+OF144YW0aNEi6/EZM2bQ0UcfTUceeSQ9+OCDpFa5X7JkCZ1zzjk0evRomjhxIm3atMl6rKqqiiZPnkyHHXaYeO/33nuP/DbGjz76SLzXwQcfTLfccgt5CafGeP/999Opp54qziOe89lnn5Gfxvf4449b73n66afT66+/Tl7BqTFKbNy4UTx+++23k9/GiO/fQQcdRIceeqj4GTduHPntHL755pviGsX4zjrrLFq/fj35aYw4Z/L84eeAAw6gKVOmkJ/GuHHjRrrkkktozJgxdPzxx9OTTz7p/GAChqCioiLwxBNPBDZt2hSoq6sLvPfee4EjjzwyUF5eHvjss88CJ5xwQmDdunWBkpKSwLhx4wKvvvqqeF11dbV4DL9XVVUFHnnkkcBFF11kve8DDzwQuOSSSwK7d+8OLFq0KDBmzJjA6tWrfTXGr7/+OvDhhx8Gpk6dGrj55psDXsKpMT722GOBn3/+WbznvHnzAocffnhg/fr1vhnfmjVrxHsDGOcxxxwTWLlypevjc3KMEldeeWVgwoQJgdtuuy3gFZwaI75/06ZNC3gNp8aH155zzjmBH3/8MVBfXx9Yu3ZtYOfOnb4aowo8F2sG5hw/jfHyyy8P3H777YE9e/aIefTYY48NzJkzx9GxGENGogEf0NKlSwPXX3992Bf8jTfeCPzhD38Qt/EBnnrqqdZjlZWVgYMPPthaqDCpL1iwIGyywMLmpzFKTJ8+3XMy4vQYJbCYffTRRwE/jg/EBNftp59+GtAFdo0Rz5k0aZL4DnpJRpwaoy5kxKnxnX/++YGvvvoqoCvs/i5ik3fiiScK4uWnMY4bNy4wd+5c6/Frr7028Mwzzzh63MaEaSKxdu1a2rVrF/Xo0YNWr15NAwYMsB7r378//fjjj+L2Tz/9FPZYixYtqHv37uJ+vH7btm3i+dFe64cx6g4nxoj3w+v69u1LfhofJNdDDjmEzjjjDOrYsSMdeOCBpAPsGuOePXuElHzFFVeQbrDzPD733HN01FFH0e9+9zuaP38++WV8dXV1tHz5cvFchA0QNoW8r0tjeCfmmnfeeUeEMTIyMshPYxw7dix9+OGHIgyE9/z+++9pv/32c/TYs8lASJ8H4mOFhYVUUVFBLVu2tB7H7crKSnEb/6uPycfxGvzI36O91g9j1BlOjLG+vl7EUBEj7dOnD/lpfHifCy64QMR6582bR9nZ3n997Rzjs88+K+LXmBR1gp1jRIx+0qRJlJ+fL7xcuP38889Tly5dyPTxbd++XRCSL7/8Uoxp9+7dwneAsYGc+G2u+eWXX2jOnDl06aWXkg6osnGM++67L73yyivCE4Nz+qc//YkGDRrk6PEbp4zU1tbSddddJ5jfH/7wB3FfQUEBlZeXW8/BbXzZAfyvPiYfx2vwI3+P9lo/jFFXODXGu+66i8rKyuj6668nP44PO7Dhw4dTSUkJvfrqq+SXMW7dupXeeOMNuuiii0gn2H0eBw8eTMXFxZSTkyN21HvvvbdYvP0wvry8PPH7+eefT0VFRdS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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# setup fine-tuning; only tune the layers matching \"output_patch_embedding\"\n", "model_finetune = Chronos2Model(\n", " enable_finetuning={\"unfreeze\": [\"output_patch_embedding*\"]},\n", " save_checkpoints=True,\n", " model_name=\"chronos\",\n", " force_reset=True,\n", " optimizer_kwargs={\"lr\": 1e-3},\n", " pl_trainer_kwargs=dict(\n", " check_val_every_n_epoch=5,\n", " gradient_clip_val=1,\n", " callbacks=[TFMProgressBar(enable_train_bar_only=True)],\n", " ),\n", " **model_params,\n", ")\n", "\n", "# fine-tune for 15 epochs\n", "model_finetune.fit(\n", " series=train_beer,\n", " val_series=val_beer,\n", " load_best=True,\n", " epochs=15,\n", ")\n", "\n", "# predict\n", "pred_beer = model_finetune.predict(n=output_chunk_length, series=val_beer)\n", "\n", "# hint: you can store the fine-tuned model with `model_finetune.save()`\n", "\n", "# plot\n", "series_beer[-3 * output_chunk_length :].plot(label=\"Ground truth\")\n", "pred_beer.plot(\n", " label=\"Forecast\",\n", " title=f\"Fine-tuned Chronos-2; MAE {mae(series_beer, pred_beer):.2f}\",\n", ");" ] }, { "cell_type": "markdown", "id": "996456e0", "metadata": {}, "source": [ "Again, the results are much better than before fine-tuning!\n", "\n", "## Conclusion & Summary\n", "\n", "While the results on these small \"toy\" datasets (Air Passengers, Australian Beer Production) may vary depending on the random seed and hyperparameters, they demonstrate the flexibility and effectiveness of fine-tuning.\n", "\n", "**Pre-trained models** and their capability to generate **Zero-Shot** forecasts can be quite powerful in real-world scenarios with:\n", "- **Large datasets** where training from scratch would be too complex and / or costly\n", "- **Small datasets** where not enough data is available to robustly train a model.\n", "\n", "**Fine-tuning** allows updating a pre-trained model on new data, potentially improving the model performace while saving training time compared to retraining from scratch.\n", "\n", "- **Full Fine-tuning**: Offers the most flexibility but is computationally expensive and prone to \"catastrophic forgetting\".\n", "- **Partial Fine-tuning**: Provides a good middle ground by updating only the most relevant layers (like the output head).\n", "\n", "For demonstration purposes, we only showed training and predicting on single univariate series (one series with one column). The process is identical for **multiple (a list / sequence) uni- or multivariate series**." ] }, { "cell_type": "code", "execution_count": null, "id": "2286828a", "metadata": {}, "outputs": [], "source": [] } ], "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": "3.12.7" }, "widgets": { "application/vnd.jupyter.widget-state+json": { "state": { "03ef39d0bc9e4552beefa82290cf86d1": { "model_module": "@jupyter-widgets/controls", "model_module_version": "2.0.0", "model_name": "HBoxModel", "state": { "children": [ "IPY_MODEL_26a3807238e24403b2b8cf081b647f58", "IPY_MODEL_1e3460649eb042b5b03f9bc1c3a180e8", "IPY_MODEL_f28de96e80a34f1199a1b0188c285949" ], "layout": "IPY_MODEL_66f2fc789e684108ba217215fce4c6e5" } }, 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