From 5120c34dd6079c17816bfab97526676da017cce9 Mon Sep 17 00:00:00 2001 From: Valentin Pratz Date: Tue, 22 Jul 2025 08:56:23 +0000 Subject: [PATCH 1/2] Tutorial on spatial data with Gaussian Random Fields [no ci] The tutorial uses the experimental ResNet class to build a summary network for spatial data. --- examples/experimental/Spatial_Data.ipynb | 591 +++++++++++++++++++++++ 1 file changed, 591 insertions(+) create mode 100644 examples/experimental/Spatial_Data.ipynb diff --git a/examples/experimental/Spatial_Data.ipynb b/examples/experimental/Spatial_Data.ipynb new file mode 100644 index 000000000..e3ab224c4 --- /dev/null +++ b/examples/experimental/Spatial_Data.ipynb @@ -0,0 +1,591 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "id": "a0f65c94-6689-4e11-8177-29c75eb3ad31", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "2025-07-22 08:56:37.467070: E external/local_xla/xla/stream_executor/cuda/cuda_fft.cc:477] Unable to register cuFFT factory: Attempting to register factory for plugin cuFFT when one has already been registered\n", + "WARNING: All log messages before absl::InitializeLog() is called are written to STDERR\n", + "E0000 00:00:1753174597.525001 68310 cuda_dnn.cc:8310] Unable to register cuDNN factory: Attempting to register factory for plugin cuDNN when one has already been registered\n", + "E0000 00:00:1753174597.542334 68310 cuda_blas.cc:1418] Unable to register cuBLAS factory: Attempting to register factory for plugin cuBLAS when one has already been registered\n", + "2025-07-22 08:56:37.703546: I tensorflow/core/platform/cpu_feature_guard.cc:210] This TensorFlow binary is optimized to use available CPU instructions in performance-critical operations.\n", + "To enable the following instructions: AVX2 FMA, in other operations, rebuild TensorFlow with the appropriate compiler flags.\n", + "2025-07-22 08:56:41.618056: E external/local_xla/xla/stream_executor/cuda/cuda_driver.cc:152] failed call to cuInit: INTERNAL: CUDA error: Failed call to cuInit: UNKNOWN ERROR (303)\n", + "INFO:bayesflow:Using backend 'tensorflow'\n" + ] + } + ], + "source": [ + "import bayesflow as bf\n", + "import keras\n", + "import matplotlib.pyplot as plt\n", + "import numpy as np\n", + "\n", + "# reduce image resolution to reduce file size\n", + "plt.rcParams[\"figure.dpi\"] = 80" + ] + }, + { + "cell_type": "markdown", + "id": "22f4cbf4-b06d-43b3-a04a-eae831b43679", + "metadata": {}, + "source": [ + "# Inference on Spatial Data: Gaussian Random Fields\n", + "\n", + "*Author: Valentin Pratz*\n", + "\n", + "In this tutorial, we demonstrate how to use BayesFlow on spatial data.\n", + "This is straight-forward, and the main challenge is building a suitable summary network.\n", + "Here, we will focus on the simple case where the data is available on a grid.\n", + "In that case, we can leverage common architectures used in image processing.\n", + "\n", + "As a toy example, we will take a look at Gaussian random fields (GRFs).\n", + "For a nice introduction that also serves as the inspiration for the example below, refer to the article [The Beauty of Gaussian Random Fields](https://structures.uni-heidelberg.de/blog/posts/gaussian-random-fields/index.php) ([archive](https://web.archive.org/web/20250323141017/https://structures.uni-heidelberg.de/blog/posts/gaussian-random-fields/index.php)) by Sara Konrad. Below, we give a short summary that should be sufficient to get the gist of the example.\n", + "\n", + "GRFs describe spatially correlated variables.\n", + "For homogeneous and isotropic GRFs, the underlying covariance function does not depend on the position and only depends on the distance, not on the direction.\n", + "In that case, the GRF can be completely described by a mean value, which can be set to zero without loss of generality, and the covariance function.\n", + "The covariance function can be translated into frequency space using the Fourier transform, giving the *power spectrum* of the covariance function.\n", + "This describes the amount of correlation as a function of the wave number $k$.\n", + "An interesting example is the power law power spectrum $P(k)=k^{-\\alpha}$.\n", + "It shows the same behavior on different scales, leading to fractal structures.\n", + "The exact behavior is defined by the exponent $\\alpha$, which we want to estimate, along with a scaling factor describing the magnitude of the field.\n", + "\n", + "For the simulations, we will use the [FyeldGenerator](https://github.com/cphyc/FyeldGenerator) package ([Zenodo](https://zenodo.org/record/7427712))." + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "4bb57529-654a-4b33-8735-6d0c31fa72c6", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Requirement already satisfied: FyeldGenerator==0.1.7 in /data/Programming/.mamba/envs/bf2/lib/python3.11/site-packages (0.1.7)\n", + "Requirement already satisfied: numpy in /data/Programming/.mamba/envs/bf2/lib/python3.11/site-packages (from FyeldGenerator==0.1.7) (1.26.4)\n" + ] + } + ], + "source": [ + "!pip install FyeldGenerator==0.1.7" + ] + }, + { + "cell_type": "markdown", + "id": "8b531d77-e97a-4212-a3a0-b8129b16f6eb", + "metadata": {}, + "source": [ + "The package provides us with the `generate_field` function, which requires a distribution to sample complex values (usually from a standard normal distribution for both real and imaginary part), a power spectrum and the shape of the desired grid. Let's define them and take a look at some examples:" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "e15e0619-c45a-4d1e-8aa0-78ed38ca850e", + "metadata": {}, + "outputs": [], + "source": [ + "from FyeldGenerator import generate_field" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "862d740e-fdc5-4df7-ac2f-42de28a4a2b1", + "metadata": {}, + "outputs": [], + "source": [ + "def generate_power_spectrum(alpha, scale):\n", + " def power_spectrum(k):\n", + " return np.power(k, -alpha) * scale**2\n", + "\n", + " return power_spectrum\n", + "\n", + "\n", + "def distribution(shape):\n", + " a = np.random.normal(loc=0, scale=1, size=shape)\n", + " b = np.random.normal(loc=0, scale=1, size=shape)\n", + " return a + 1j * b" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "id": "f3128dd8-e13b-45a1-9426-92bc1e83c3fb", + "metadata": {}, + "outputs": [], + "source": [ + "shape = (64, 64)\n", + "power_spectrum = generate_power_spectrum(3.0, 1.0)" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "id": "e43c6401-72cc-4e35-9de6-892d9ff486a2", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(4,2.5))\n", + "k = np.logspace(0.001, 1, 300)\n", + "plt.plot(k, power_spectrum(k))\n", + "plt.title(\"Power Spectrum\")\n", + "plt.xlabel(\"k\")\n", + "plt.ylabel(\"Amplitude [a.u.]\");" + ] + }, + { + "cell_type": "markdown", + "id": "9c3704b3-6886-4777-8b96-23a2f545f2ce", + "metadata": {}, + "source": [ + "Generating a field is internally achieved by sampling random numbers, a few multiplications and a fast Fourier transform, so generating a field is very fast:" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "id": "d83963a8-26ed-4c46-a54a-91ed8465c639", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CPU times: user 2.58 ms, sys: 901 μs, total: 3.48 ms\n", + "Wall time: 2.14 ms\n" + ] + } + ], + "source": [ + "%%time\n", + "np.random.seed(2025)\n", + "field = generate_field(distribution, power_spectrum, shape)" + ] + }, + { + "cell_type": "markdown", + "id": "6955bb53-c3eb-4147-9742-83bbd9695a1f", + "metadata": {}, + "source": [ + "Below, we take a look at the way the patterns change when we change $\\alpha$." + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "id": "f1177a8a-08cc-4fdd-8843-221f97ffef88", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "n_examples = 5\n", + "alphas = np.linspace(2, 5, n_examples)\n", + "fig, axs = plt.subplots(1, n_examples, figsize=(n_examples * 1.6, 1.7))\n", + "for alpha, ax in zip(alphas, axs):\n", + " power_spectrum = generate_power_spectrum(alpha, 1)\n", + " field = generate_field(distribution, power_spectrum, shape)\n", + " max_magnitude = np.max(np.abs(field))\n", + " ax.imshow(field, cmap=\"seismic\", vmin=-max_magnitude, vmax=max_magnitude)\n", + " ax.set_title(f\"$\\\\alpha={alpha:.2f}$\")\n", + " ax.set_axis_off()" + ] + }, + { + "cell_type": "markdown", + "id": "dacad3f5-637b-4df6-b4c7-65aafeed0613", + "metadata": {}, + "source": [ + "The difference is clearly visible, as the structures become more homogeneous as $\\alpha$ increases.\n", + "The task is now for the summary network to learn relevant summary statistics from the images that enable the inference model to determine the correct parameter values." + ] + }, + { + "cell_type": "markdown", + "id": "552ce17b-eba3-43bd-b9ed-225e38192718", + "metadata": {}, + "source": [ + "## Summary Network" + ] + }, + { + "cell_type": "markdown", + "id": "b60f1758-2c51-404f-a1e1-eba0fd9b6939", + "metadata": {}, + "source": [ + "As we have translation-invariant images, [convolutional neural networks (CNNs)](https://en.wikipedia.org/wiki/Convolutional_neural_network) are a natural choice as summary networks.\n", + "We currently provide the `ResNet` class in our experimental module, which implements a CNN architecture.\n", + "Each residual layer produces an output which divides the side length of the image by two.\n", + "The `widths` argument describes the number of *channels* the layer produces.\n", + "The `ResNet` does not handle to post-processing of the outputs, which consists of flattening and an additional dense layer, followed by a projection to the desired number of summary dimensions. In the class below, we inherit from `SummaryNetwork` and perform those steps, making the `ResNet` usable as a summary network." + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "id": "193ed894-8143-433c-805b-bb5320ce273b", + "metadata": {}, + "outputs": [], + "source": [ + "import bayesflow.experimental.resnet\n", + "\n", + "\n", + "bf.utils.serialization.serializable(\"custom\")\n", + "\n", + "\n", + "class ResNetSummaryNetwork(bf.networks.SummaryNetwork):\n", + " def __init__(\n", + " self,\n", + " summary_dim,\n", + " widths,\n", + " num_fully_connected=64,\n", + " dropout=0.0,\n", + " use_batchnorm=False,\n", + " **kwargs,\n", + " ):\n", + " \"\"\"\n", + " Create a ResNet summary network with a final dense layer.\n", + "\n", + " Parameters\n", + " ----------\n", + " summary_dim : int\n", + " The dimension of the summary statistics.\n", + " widths : Sequence of int\n", + " The number of channels in the convolutional layers.\n", + " num_fully_connected : int, optional\n", + " The number of units in the fully connected layer (default is 64).\n", + " dropout : float, optional\n", + " Dropout probability in the residual layers (default is 0.0).\n", + " use_batchnorm : bool, optional\n", + " Use batch normalization in the residual layers (default is False).\n", + " kwargs : dict, optional\n", + " Additional keyword arguments for the tf.keras.Model superclass.\n", + " \"\"\"\n", + " super().__init__(**kwargs)\n", + " self.summary_dim = summary_dim\n", + "\n", + " layers = []\n", + " layers.append(\n", + " bf.experimental.resnet.ResNet(\n", + " widths, use_batchnorm=use_batchnorm, dropout=dropout\n", + " )\n", + " )\n", + " layers.append(keras.layers.Flatten())\n", + " layers.append(keras.layers.Dense(num_fully_connected, activation=\"relu\"))\n", + " layers.append(keras.layers.Dense(summary_dim))\n", + "\n", + " self.net = bf.networks.Sequential(layers)\n", + "\n", + " def call(self, inputs, training: bool = False, **kwargs):\n", + " return self.net(inputs)" + ] + }, + { + "cell_type": "markdown", + "id": "9ea97834-9b0f-4b07-ab85-e59a633902d0", + "metadata": {}, + "source": [ + "## Simulator\n", + "\n", + "We define a simple prior for the parameters and wrap the `generate_field` function to generate data in the desired structure." + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "id": "1ab3383a-76c0-4272-80bc-933e50adbc20", + "metadata": {}, + "outputs": [], + "source": [ + "rng = np.random.default_rng()\n", + "\n", + "\n", + "def prior():\n", + " return {\"log_std\": rng.normal(), \"alpha\": rng.normal(loc=4, scale=0.5)}\n", + "\n", + "\n", + "def likelihood(log_std, alpha):\n", + " field = generate_field(\n", + " distribution, generate_power_spectrum(alpha, np.exp(log_std)), shape\n", + " )\n", + "\n", + " return {\"field\": field[..., None]}\n", + "\n", + "\n", + "simulator = bf.make_simulator([prior, likelihood])" + ] + }, + { + "cell_type": "markdown", + "id": "2d6ee8e3-d873-4ba3-943b-5ae867c5ee8c", + "metadata": {}, + "source": [ + "We can quickly check that the output shapes of the simulator match our expectations:" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "id": "9a86146a-5644-4622-b68e-953816157b09", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "{'log_std': (3, 1), 'alpha': (3, 1), 'field': (3, 64, 64, 1)}" + ] + }, + "execution_count": 11, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "keras.tree.map_structure(keras.ops.shape, simulator.sample(3))" + ] + }, + { + "cell_type": "markdown", + "id": "66553891-d184-424d-b0e9-c57804ea62d3", + "metadata": {}, + "source": [ + "## Training" + ] + }, + { + "cell_type": "markdown", + "id": "fa9a97d6-0040-487f-8eac-0371776e9192", + "metadata": {}, + "source": [ + "We will use online training, i.e., simulate the training data on the fly, but we already generate the validation data and test data:" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "id": "c351b411-74a2-4138-b6bb-dd5397bd8614", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CPU times: user 45 ms, sys: 6.99 ms, total: 52 ms\n", + "Wall time: 51.7 ms\n" + ] + } + ], + "source": [ + "%%time\n", + "validation_data = simulator.sample(100)" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "id": "46e63255-cd7e-4166-9667-54566b775dd6", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CPU times: user 434 ms, sys: 57 ms, total: 491 ms\n", + "Wall time: 492 ms\n" + ] + } + ], + "source": [ + "%%time\n", + "test_data = simulator.sample(1000)" + ] + }, + { + "cell_type": "markdown", + "id": "38217e92-fb3c-4449-be35-9c1bf8e550fc", + "metadata": {}, + "source": [ + "We now create the summary network and the workflow object we use for training. Enabling dropout seems to cause problems during evaluation, so we disable it here." + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "id": "358af241-d89a-4f54-8952-c44e7e8c3cf0", + "metadata": {}, + "outputs": [], + "source": [ + "summary_network = ResNetSummaryNetwork(\n", + " summary_dim=6, widths=[8, 16, 32, 64, 128], num_fully_connected=128, dropout=0.0\n", + ")\n", + "\n", + "workflow = bf.workflows.BasicWorkflow(\n", + " simulator=simulator,\n", + " summary_network=summary_network,\n", + " inference_variables=[\"log_std\", \"alpha\"],\n", + " summary_variables=[\"field\"],\n", + " standardize=\"all\",\n", + ")" + ] + }, + { + "cell_type": "markdown", + "id": "3cd3feb4-598b-4f91-b5c2-48fc20902b04", + "metadata": {}, + "source": [ + "Now we are ready to start the online training. For detailed output during training, remove the `verbose=2` argument.\n", + "For better results, try to increase the number of epochs.\n", + "As we use convolutional layers, training can be quite slow on a CPU (10-15 minutes for 10 epochs), and using a GPU can significantly speed up training." + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "id": "65d95e4c-7d1f-42dd-969c-4ed739e2d794", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "INFO:bayesflow:Fitting on dataset instance of OnlineDataset.\n", + "INFO:bayesflow:Building on a test batch.\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Epoch 1/10\n", + "1000/1000 - 74s - 74ms/step - loss: 2.1953 - val_loss: 1.1699\n", + "Epoch 2/10\n", + "1000/1000 - 61s - 61ms/step - loss: -1.7094e-01 - val_loss: -1.9486e-01\n", + "Epoch 3/10\n", + "1000/1000 - 62s - 62ms/step - loss: -6.8857e-01 - val_loss: -4.9103e-01\n", + "Epoch 4/10\n", + "1000/1000 - 62s - 62ms/step - loss: -9.7035e-01 - val_loss: -9.0175e-01\n", + "Epoch 5/10\n", + "1000/1000 - 62s - 62ms/step - loss: -1.2507e+00 - val_loss: -7.4549e-01\n", + "Epoch 6/10\n", + "1000/1000 - 61s - 61ms/step - loss: -1.4286e+00 - val_loss: -1.5773e+00\n", + "Epoch 7/10\n", + "1000/1000 - 62s - 62ms/step - loss: -1.5875e+00 - val_loss: -1.8030e+00\n", + "Epoch 8/10\n", + "1000/1000 - 63s - 63ms/step - loss: -1.8026e+00 - val_loss: -1.8770e+00\n", + "Epoch 9/10\n", + "1000/1000 - 60s - 60ms/step - loss: -1.9533e+00 - val_loss: -2.0199e+00\n", + "Epoch 10/10\n", + "1000/1000 - 60s - 60ms/step - loss: -2.0361e+00 - val_loss: -2.0326e+00\n" + ] + } + ], + "source": [ + "history = workflow.fit_online(\n", + " num_batches_per_epoch=1000,\n", + " validation_data=validation_data,\n", + " batch_size=32,\n", + " epochs=10,\n", + " verbose=2,\n", + ")" + ] + }, + { + "cell_type": "markdown", + "id": "1e032dcf-66b8-470f-80f4-c1592f83d23f", + "metadata": {}, + "source": [ + "## Evaluation\n", + "\n", + "Finally, we can plot the diagnostics. They show good recovery and calibration, indicating successful training." + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "id": "0924c728-1b8d-4189-b3a1-1c3bfc9f5273", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": "iVBORw0KGgoAAAANSUhEUgAAAxgAAAGICAYAAADChEYOAAAAOnRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjEwLjAsIGh0dHBzOi8vbWF0cGxvdGxpYi5vcmcvlHJYcgAAAAlwSFlzAAAMTgAADE4Bf3eMIwAA1EdJREFUeJzs3Xl8VNX5+PHPvXf27AkhIQkQdgQRVxRRccf6rYq27lbc2lqXL4pLW/1W3Fq7WNTqz6pVUdyrVtGqdZeKIAgKiOx7yL7NTDL7zD2/PyYZErKHhBB43q9Xkblz587JNJwzzz3nPI+mlFIIIYQQQgghRA/Q+7oBQgghhBBCiP2HBBhCCCGEEEKIHiMBhhBCCCGEEKLHSIAhhBBCCCGE6DESYAghhBBCCCF6jAQYQgghhBBCiB4jAYYQQgghhBCix0iAIUSDbdu2oWkaV1xxRV83pU9pmsaJJ57Y180QQoh+6cQTT0TTtD2+zt13342maXzxxRd73igh9jIJMITYz0igJIQQQoi+JAGGEEIIIYQQosdIgCGEEEIIIYToMRJgCNGB0tJSrr/+egoLC7HZbGRnZ3PeeeexfPnyVs/3eDzcdNNNFBQU4HA4GDt2LHPmzGHLli17tHSprq6O++67j4MPPpjU1FRSUlIYMWIEF154YaItd999N8OGDQPg+eefR9O0xP+ee+65xLXC4TD33XcfI0aMwG63M2zYMP7v//6PUCjUrbYJIcT+7LnnnuMnP/kJw4cPx+l0kpqaypQpU3jxxRc79fovvvgCTdO4++67Wbx4MaeeeippaWmkpKQwbdo0li1b1u7r33jjDSZNmoTL5SIzM5OLLrqI4uLiFuctX76cmTNnMnHiRDIzM3E4HIwaNYpbbrmF2trabv3sQnSHpa8bIMS+bOvWrRx33HGUlJRw8sknc/HFF1NUVMTrr7/Oe++9x5tvvsmPf/zjxPnBYJCTTz6Zb7/9lsMOO4xLL70Uj8fD73//e7788stut0MpxRlnnMGiRYuYPHky11xzDRaLhaKiIr744guOP/54jjjiCE488UTcbjePPPIIEydOZPr06YlrHHrooYlrXXDBBcyfP58RI0Zwww03EA6HefbZZ/n++++73UYhhNhf/epXv2LcuHGccMIJDBo0iOrqat5//31+9rOfsX79eu67775OXWfJkiU88MADnHrqqVx//fVs2rSJf/3rX/z3v//lo48+4vjjj2/xmscff5x33nmHs88+m6lTp7JkyRJee+01Vq5cyYoVK7Db7Ylz//GPf/DWW28xdepUTj31VGKxGN9++y1z5szhgw8+YMmSJaSkpPTY5yJEm5QQQiml1NatWxWgZsyYkTh2+umnK0Ddf//9zc796quvlGEYKjMzU9XV1SWO33vvvQpQF110kTJNM3F8x44dasCAAS2u31mrVq1SgJo+fXqL52KxmKqpqWn352jqpZdeUoA65phjVCAQSByvrq5Ww4cPV4CaOnVql9sohBD7q02bNrU4FgqF1Mknn6wsFovauXNn4vjUqVPV7l+vPv/8cwUoQD366KPNnnv77bcVoEaOHKlisVji+OzZsxWgUlJS1KpVq5q95uKLL1aAeu2115od37Ztm4pGoy3a+vTTTytA/fGPf+z8Dy3EHpAlUkK0YefOnXz00UcMGTKE22+/vdlzxx57LBdffDE1NTX861//Shx//vnn0XWdBx54oFmawsGDB3PTTTftcZucTmeLY7quk5GR0elrzJ07F4A//OEPOByOxPHMzEx+97vf7XEbhRBifzNixIgWx2w2G9dffz3RaJRPP/20U9cZOXIk1113XbNj55xzDlOnTmXTpk2tznT/7//+LxMmTGh27Oc//zkAS5cubXZ86NChGIbR4hpXXXUVqampfPjhh51qpxB7SgIMIdrw3XffAXD88cdjtVpbPH/yySc3O8/r9bJ582by8/MpLCxscf5xxx3X7baMGzeOQw89lFdeeYUpU6bw5z//mUWLFhEOh7t8rW+//RZd11ttj9S/EEKIlnbs2MH111/P2LFjcblcib1tP/nJTwBa3Q/RmuOPPx5db/nVq7HvbRxPmjryyCNbHBs8eDBAi30VkUiExx57jOOOO47MzEwMw0DTNHRdx+v1drqdQuwp2YMhRBs8Hg8AgwYNavX5xuNutxuIBxgAOTk5rZ7f1vHOMAyDzz77jHvvvZc33niDX//61wCkpKQwY8YMHnjgAZKTkzt1LY/HQ2ZmZqtBU25ubrfbKIQQ+6MtW7YwadIkamtrOf744zn99NNJS0vDMAy2bdvG888/3+kEGW2NA419b+O401R6enqLYxZL/OtbLBZrdvzCCy/krbfeYvjw4Zxzzjnk5uYm9mg8/PDDkshD7DUSYAjRhrS0NADKyspafb60tLTZeampqQCUl5e3en5bxzsrIyODhx56iIceeohNmzaxYMECnnzySR577DHcbjcvvPBCp66TlpZGTU0NkUikRZDR1s8qhBAHqjlz5lBdXc3cuXNbZAF85ZVXeP755zt9rbbGgca+t3E86Y5ly5bx1ltvceqpp/L+++83699N0+TPf/5zt68tRFfJEikh2nDYYYcBsHDhQqLRaIvnP//8cwAOP/xwIB5gDB8+nOLiYrZt29bi/IULF/ZY20aOHMnVV1/NggULSE5OZv78+YnnGtff7n5nq9Hhhx+OaZqttueLL77osTYKIcT+YNOmTQCJ5VBNLViwoEvXWrhwIaZptjje2Pc2jjvd0djOs88+u8XNo6VLlxIIBLp9bSG6SgIMIdpQUFDAaaedxrZt23j44YebPbdkyRJefvllMjIyOPfccxPHL7/8ckzT5Le//S1KqcTxoqKiFtfoiq1bt/LDDz+0OF5bW0soFGq2+TsjIwNN09ixY0er17ryyisBuPPOOwkGg4njNTU13H///d1uoxBC7I8a99TtfgPmww8/5Omnn+7StTZu3Mjjjz/e7Nj8+fNZsGABI0eObDVN7Z62s6Kiguuvv77b1xWiO2SJlBDteOKJJ5gyZQq33XYbH330EUceeWSiDoau68ydO7dZTvHbb7+dt99+m1dffZX169dz+umn4/F4+Oc//8kJJ5zA22+/3eoGv46sXLmSc889lyOOOIKDDz6YvLw8KisrmT9/PpFIJLEnAyA5OZmjjz6aL7/8kksvvZTRo0djGAZnn302hxxyCBdffDGvvfYa77zzDgcffDDnnHMOkUiEN954g6OOOorNmzf3yGcnhBD7g+uuu465c+dy/vnn85Of/IT8/HxWr17Nf/7zHy644AJee+21Tl/rjDPO4JZbbuGDDz5g4sSJiToYDoeDZ555plvjQ6OjjjqKKVOm8K9//Ytjjz2W4447jvLycj744APGjBlDXl5et68tRJf1dZ5cIfYVbdWP2Llzp7r22mvVkCFDlNVqVVlZWeqcc85RS5cubfU6tbW16sYbb1SDBg1SNptNjRkzRj344INqyZIlClAzZ87sctuKiorUb3/7W3XssceqnJwcZbPZVH5+vjrjjDPU+++/3+L8jRs3qh//+McqMzNTaZqmADV37tzE86FQSN1zzz1q2LBhymazqaFDh6o77rhDBYNBqYMhhBC7+eqrr9RJJ52k0tPTVXJyspoyZYp66623EvUtZs+enTi3vToYs2fPVosWLVKnnHKKSklJUcnJyeq0005rdTxprIPx+eeft3iurfGqurpa/epXv1JDhw5VdrtdDR8+XP32t79VPp9PDR06VA0dOrQHPg0hOqYp1WQdhxCi1/zjH//gF7/4BU888QS//OUv+7o5Qggh9pIvvviCk046idmzZ3P33Xf3dXOE6HWyB0OIHlZSUtLiWFFREffddx8Wi4Uf//jHfdAqIYQQQoi9Q/ZgCNHDfvKTnxCJRDjiiCNIT09n27Zt/Pvf/8bv9/PAAw+Qn5/f100UQgghhOg1EmAI0cN+9rOf8cILL/Dmm2/i8XgSm65vuOEGzjvvvMR5b7/9NitWrOjweoWFhS1yrwshhBBC7KtkD4YQfeSKK67oVIGmqVOnSn0KIYQQQvQbEmAIIYQQQggheoxs8hZCCCGEEEL0mAMmwBg7dmyXX7Nly5ZeaMn+Sz6vzpPPqvPks+q8vfFZBYNBLr300n5TtKs7fX9P6a+/u/2x3dLmvac/tlva3DOWL1/O2LFjGTp0aIfnHjABRn19fZdfY5pmL7Rk/yWfV+fJZ9V58ll13t74rGw2G1lZWVx00UW9/l49oTt9f0/pr7+7/bHd0ua9pz+2W9rcM7KyssjMzOTFF1/s8FzJIiWEEN30zMsLAbj6kuP6uCW9r6KigqysLAzDYM6cORiG0ddNEkIIsReUl5eTk5NDYWEhCxYswGq1dviaA2YGQwghRPesXbuWadOmMXv2bAAsFguapvVxq4QQQvQmpRQPP/wwU6ZMSaTV70xwATKDIYQQoh1ff/01V1xxBYFAgEmTJvV1c4QQQuwFsViMu+66i7lz5zJ+/Pgu77uTAEMIIUSr/vOf/3Dttddis9l46aWXOO64/X8pmBBCHOjC4TA33ngj7777LlOmTOHZZ58lJSWlS9eQJVJCCCFaeOONN7jmmmtITU3lzTfflOBCCCEOAJFIhMsuu4x3332Xs846i5deeqnLwQXIDIYQQohWjBs3jvHjx/Pkk09SWFjY180RQgixF1itViZOnMioUaO49957u53QQwIMIYQQQHzN7Y4dOxg2bBjjxo3jP//5j2zmFkKIA0BRUREDBw7Ebrdzxx13AOxR/y9LpIQQQhAKhbj22ms588wz2bp1K7Bng4sQQoj+YdWqVZx55pnMnDkTiPf9e9r/S4AhhBAHOK/Xy6WXXsp7773H1KlTyc/P7+smCSGE2Au+/PJLfvKTn1BfX8+5557bY9eVAEMIIQ5g5eXlnHfeeSxatIgrr7ySxx9/HJvN1tfNEkII0cvmz5/PZZddhmEYvPrqq0ybNq3Hri17MIQQ4gBVXV3NOeecw44dO/jNb37DjTfeKMuihBDiAPD6668zc+ZMcnJyeOWVVxg7dmyPXl8CDCGEOEBlZmZy4oknMnHiRC6++OK+bo4QQoi9ZPLkyRx33HHMmTOHgoKCHr++BBhCCHGAWblyJePHj8disfDHP/6xr5sjhBBiL4hGo6xZs4ZDDjmEgoIC/vnPf/bae8keDCGEOIC89dZbnHXWWdx777193RQhhBB7SSAQ4Oqrr+acc87hhx9+6PX3kwBDCCEOEE899RTXX389AwYM4NJLL+3r5gghhNgL3G43F1xwAR9//DFnn302o0eP7vX3lCVSQgixn1NK8fvf/57HH3+cUaNG8fLLL0sqWiGEOACUlJRw8cUXs3HjRq677jruvPPOvZLMQwIMIYTYzzUGF0cccQTz5s0jIyOjr5skhBCil3m9Xs466yxKS0uZPXs2v/zlL/fae0uAIYQQ+7kLLriAsrIy/vKXv+B0Ovu6OUIIIfaC1NRUfvaznzFkyBDOO++8vfreEmAIIcR+qLa2lq1bt3L44YczevRoHnvssb5ukhBCiL1g0aJFHHbYYTidTm666aY+aUO/3eQ9ffp0NE3jk08+6eumCCHEPqW4uJhzzjmHiy++mPLy8r5ujhBCiL3k1Vdf5cILL+Q3v/lNn7ajXwYYc+fOJRAI9HUzhBAHMKUUtR4/JWVudpbUopTq6yYBsG7dOs466yw2bdrErbfeSk5OTl83SQghRC9TSvHoo48ya9Ys8vLymDlzZp+2p98FGNu3b2f27Nk888wzfd2U/YJpmjz00EOMHTsWu93O4MGDue222/D7/Z2+RmlpKT//+c857rjjsNvtDBs2jDvuuKPVazSem5+f3+G5uysrKyM9PR1N03j44Ye78mMK0aM83gCPPvs5H36xmi+XbuT+R97j0Wc/x+Pt2xsfK1euZPr06VRXV/P444/z85//vE/bI/ZtbfX/XbmB19k+/e6770bTtDb/N2rUqHbfR/p/IdpmmiZ33XUXDzzwAAcddBDvvPMOw4cP79M29as9GKZpMmPGDO65555eKWt+ILr55pv529/+xrnnnsstt9zC2rVrefjhh1mxYgUfffRRh6nMysvLOfrooykvL+fiiy9m8uTJfPPNN/zpT39i6dKlfPTRR+i63uLcX/3qVxx00EFtntuamTNnEovFevTnF6KrlFI8//pi1m4sISM9CV3TGJKfydqNJcx7YzE3XHnSXkkBuLutW7dy00034XA4eOGFFzjhhBP2ehtE/9JW/79o0SIWLlzYpf6/oz79vPPOY+TIkS2u8eWXX/LUU0/x4x//uN33kv5fiLb9+c9/5plnnmHy5MnMnTuX1NTUvm4SqH7kwQcfVP/zP/+TeAyojz/+uFOvzc/P7/L7bdy4scuv2VPRaFRFIpG98l6rV69Wmqap8847r9nxv/3tbwpQr732WofXmDlzZuLcpp/Xn//8ZwWo559/vtVzm2rt3N29//77Std19ac//UkB6qGHHurkT7lv6ovfrf5qX/usiopr1LW3v6D+8Lf31IW/fFJd+Msn1R8f+0D9/pH31LW3v6CKimv6pF2maarbb79drVixok/ef1/Vnb6/p3T1d7c/9/9NdaZPb3TOOecoQK1atarNczrT/+9r/URn9Mc2K9U/272/t7m0tFTdcccdKhgM9mKLuqbfzGCsXbuWv/71ryxbtqxT58+ZM4c5c+YkHnu9XjZt2tSl96yqqurS+V1133338eKLL/LRRx/x1FNP8emnn1JdXc0XX3yxV4pg/b//9/9QSvHTn/602Wdz8skn43Q6efLJJzn88MPbvcaHH36Iw+HgsMMOa/Z5Nd49/fvf/86xxx7b4tym79fauU0FAgF+8YtfcMEFFyQ+l8rKyi7//7kv6e3frf3JvvZZbdhSSb2vHrdbx+fzAVBTUwOAz1fPqtXrCPqz90pblFJ8/PHHnHTSSVitVs4991ySkpL22r+N1u5Ii86ZOXMmjz32GBs2bOCPf/wj77zzDhUVFWzbto2hQ4f2+vu/8sorKKVaZJj5+c9/zq9//WtefPFFLrjggnav8cUXX+B0Ojn//PObHb/iiiu4/fbbee6557j88svbfH1FRQXvv/8+Rx11FBMmTGj1HL/fz3XXXcfPf/5zJk2a1LkfTogDQGVlJd9//z0nn3wyubm5/P73v+/rJjXTbwKMJUuWUFZWxpAhQ5odnzZtGhdddBEvvfRSs+OzZs1i1qxZiccFBQXdGgx7cwDdtm0bKSkpXHXVVUyaNIl7772X2tpapk6d2uJc0zQTX2I6Y8CAAR2es3nzZnRd57zzzsNutzd77rDDDmPNmjUd/vxKKZxOJ6NGjULTtMT5gwYNAmD16tWMGDECTdOandtUa+c2dfvttxMKhXj88cdZuXIlANnZ2f3+y01/b//etC99Vg5XFu98upn09HSSkuoByMzMJBYz8dabHHLwWArydhWye+blhQBcfclxPdqOWCzGXXfdxdy5c/H5fNx2223AvvVZibatWLGClJQUTj75ZCZNmsTs2bOpra1tNbjojf7/m2++Qdf1Fl/aHQ5HYqlTR4LBIA6Ho0Wf7XK5Eu+hlGpzqdULL7xAJBLhqquuavM97r77bnw+Hw888ECi/xfiQLdt2zYuueQSiouLWbhwIYMHD+7rJrXQbwKM6dOnc+SRRzY7NmHCBJ588knOOOOMPmpV9ymlWLFiBV6vlz//+c/84he/aPf8HTt2MGzYsC5dvyMlJSUMGDCgRXABkJ+fz6JFi4jFYhiG0eY1xo0bx/r161m1alViUAH4/PPPAaivr6e2tpbMzMxm5x5yyCHtntto1apVPPTQQzz99NNSfVjsE/IHpTNudB5rN5Zgmgpd14jFTIpKahg3Jo/8Qem93oZwOMz//u//8s4773Dsscfu1eqsYs/t6/1/Tk4O3377bZf6/8726U3NnTsXp9PJxRdf3Orz0v8L0dLq1au59NJLqa6u5oEHHtgngwvoRwFGeno66enpLY4XFhb2yw3fW7Zswev1csYZZ3Q4uADk5uby8ccf92gb/H5/q4MLxO9iQXx5UnJycpvXmDlzJvPnz+fCCy/k9ttvx2azsWzZMm688UasViuRSAS/309mZmazcx955BHGjh3b5rkQv2v3i1/8gsmTJzNjxowe/dmF6C5N05hx/mSef30x7360Ak3TKCqOBxczzp/c6xu86+rquPrqq1m4cCE//vGPefTRR9v8dyz2Tft6/994vCv9f2f69KaWLl3KDz/8wGWXXUZaWlqL56X/F6KlhQsXctVVVxEOh3nqqac488wz+7pJbeo3Acb+5rvvvgPgZz/7WafOdzgcnHrqqT3aBpfLRUVFRavPBYNBAJxOZ7vXmDp1Ki+++CIzZ85MTHPbbDZ+85vf8MEHH/DNN98kshk0PXfatGntngvw+OOPs3z5clasWLGnP6oQPSot1cmNV51EOBwlEAhz5UVTyB+UvleyR918880sXLiQK664gvvuu6/dO8xi37Sv9/+hUAjoWv/fmT69qWeffRagzeVR0v8L0VxxcTGXXXYZdrudV155hcmTJ/d1k9rVrwOMzkwD76saB5iTTjqpU+fHYjEqKys7ff3c3NwOz8nLy2PNmjWEQqEWd7KKi4vJzc3t1JeXiy++mPPPP5/33nuPrKwsxo0bR2ZmJk8++SSDBg1qNsA0nvv999/j8/naPNfj8XDnnXdyySWXkJSUxLZt24B4LnSIb6rdtm0bOTk5HQ6CQvQGTdPISHORkeZqtueiKdVQjC8QCLOzpLZHgpA777yTI444gmuvvbZP0uHuqbvvvpt77rmn2bFzzjmHt99+u9XzTzzxRBYsWNDs2EMPPdRic3J/sq/3/+Xl5V3u/zvq05sKBoO8+uqrDB8+nBNPPLHF89L/C9FSfn4+s2fP5phjjuGggw7q6+Z0qF8HGP3ZihUryM3NTWxw7khRUVGPr8E96qij+Oijj1i6dCnHH3984ngwGGTFihWcfPLJnX4/i8XC+PHjExtMV6xYQXl5eat3pywWC4cddljicWvn1tbW4vV6mTdvHvPmzWtxjfvuu4/77ruPDz74oF/uwRH7P483wPOvL+bDL1ajaRrF5W7GjY4vo0pL7dqXou+//x63283xxx/PsGHD+NWvftVLrd47Jk2axPz58xOPG5dktuWmm27i17/+deLxPpHjfQ/s6/3/2rVrOeWUUzr9fp3p05t688038Xg83Hrrra0GydL/i31JbyXq6AylFM8//zw//elPSU5O5sorr2xxTl+2rz0SYPSR7777rsMUsE31xhrcCy+8kD/84Q88/PDDzQaYf/zjH/j9fi699NLEsUgkwubNm3G5XC0yee0uHA4za9YsbDYbt9xyS7fOHThwIG+99VaL81evXs3vfvc7rrrqKs4666wufYZC7C2qB4vxffnll1x11VXY7XaWLFlCUlJSL7e+91mt1k7dZW+UlJTUpfP3dft6/x8IBHq1/587dy66rnPFFVe0+rz0/0JANBrl1ltv5ZVXXmHr1q0tZn73dRJg9IHy8nJKS0u5+uqrO/2a3liDO2HCBK6//noee+wxzjvvPM4880zWrl3L3/72N04++WQuvPDCxLnFxcUcdNBBTJ06lS+++CJxvL6+nqOPPprzzjsPl8uFruvMmzePdevW8fTTTzNu3LhWzy0sLKSqqqrNc10uF9OnT2/R5saN/hMmTGj1eSH2BcWlbtZuKGFIQSa1bj8AhqEzOC+TNetLKC51t7msqql33nmHG2+8EafTyTPPPLNfBBcAK1euJDc3l9TUVE477TTuv//+drMEPfXUUzzxxBMUFBTws5/9jJtuuqnf7j3pD/3/5MmTu9z/d9SnN9q+fTufffYZ06ZNazNBi/T/4kAXDAa54447+PrrrznxxBO5/fbb+7pJXSYBRh9oXH+7L9x9efjhhyksLOSpp57ivffeIzs7m5kzZ3LPPfd06g6rzWZjwoQJvPDCC5SUlJCSksKUKVP4xz/+0aJoXtNzS0tLSU5ObvNcIfqzWo8fTdfQdb3ZccPQ0Q2NWo+/wwDj2Wef5Xe/+x0DBw7klVdeYezYsb3Z5L3mmGOOYd68eYwcOZJt27bx29/+lnPOOYcFCxa02udcdtllDB8+nOzsbL7++mt+/etf43a7ue+++/qg9XuuP/T/l19+eZf7/8726c899xxKqXZrXwhxIPN4PMyYMYPFixdzwQUXMGfOHKxWa183q8s01Z93SndBQUEBO3fu7NJrNm3aJEWrukA+r86Tz6rz9uXPqq21rztLarn/kfcYWpDJyh/i/c5hE4bE62UU13DnzP9pN8D45ptvOOeccxgxYgSvvPJKp1Nx78ufVVs2b97MyJEj+eabb1rUOmrNs88+y8yZM/F6va1+CZ4zZw5z5sxJPPZ6vXz77bc92ubOqqqq6lTRu31Nf2y3tHnv6Y/t7m6blVLcev97RCImd9x4EjkDkns9ucY999zDRx99xDnnnMOtt97a4kbV7u2b+89lBINRzjvz4L3SvkYdjTUygyGEED1sT4vxHXXUUfzhD3/g7LPPbrNI2f5ixIgRpKens3Xr1k4FGEcccQT19fVUVVWRnZ3d4vlZs2Yxa9asxOOCgoI+Dbr6W8DXqD+2W9q89/THdne1zY2JOrYXewF48e0fup2ooyuOmHIB9pRCbp81o902N7bvm1WlaJqGfy+1r7PaDouEEEJ0S2MxvoNG5VHr8VHj9sWL8Y1uuxhfIBDgwQcfTNQguOKKK/b74ALiVardbjeFhYWdOn/lypUkJSX1uzuoQoj+o2miDpfTSpLL1ixRR08v/lm+fHkisUFKagaTj5vW6fZlpCeRmZ7Uq+3rDpnBEEKIXtCVYnxut5vLL7+cZcuWMWDAgDaz6+wPbr/9ds4++2wKCgrYunUrt912G5MnT+aII46guLiYU045hXnz5jFp0iQ2b97Mq6++yo9+9CMyMjJYsmQJt956K9dff32/rAEihOgfmibqWLUmvsy1O4k6OuOTTz7hF7/4BTabrdPlAXoqkUhvkgBDCCF6SWeK8ZWUlHDJJZewYcMGrrvuOi6//PK93Mq9a/v27Zx//vlUV1eTl5fHtGnTuP/++9F1nUgkwvr16/H74wOmzWbjww8/5MEHHyQYDFJYWMgtt9zSbAmUEEL0tJ5I1NEZ//znP7nllltITU3lhRdeIC0tbZ9q356QAEMIIfrIhg0buPjiiyktLWX27Nn88pe/7Osm9brXXnutzecKCwubTe0PHjyY//73v3ujWUIIkZCR5sI0FaZpNjsei5mYMUVGmmuPrq+U4u9//zv3338/+fn5vPrqq4wYMWKfaV9PkD0YQgjRB5RS3HLLLVRWVvLYY48dEMGFEEL0B42JOnYU1yRuenQlUUdHVq9ezf3338/YsWN59913E8GFUopaj5+SMjdllXVt7qVo2j7T7Pn29QSZwRBCiD6gaRqPP/44W7du5YQTTujr5gghhGjQmKjj+dcXs3jZFtCIJ+oY03aijkZtpS9vasKECTz55JNMnTqV1NRUYFdWqA+/WI2maazbVMS3a2pbzQrVtH3vfrQCTdM63b69RQIMIYToRbsPMq+99hoZGRmcfvrpDB48mMGDB/dRy4QQQrSlMVHH4mWbiUSi3Dnzf9pM1NEZ9fX1PPDAA/z6178mNTWVs846K/Hc7lmhdE0jL8eVyAp1w5UntXjfriQS6QuyREoIIfYCpRSPPvooN998M7///e+JRqN93SQhhBDt0DQNl9NGWmo8UUfjl/dnXl6YmKnojKqqKs4//3zmzp3Lq6++2uL5RFao/Ez0hvfQ9eZZodpqX0aai7zc9Gbt2xdIgCGEEL3MNE3uuusuHnjgAQ466CD++c9/YrHIBLIQQuzvduzYwdlnn83KlSuZNWsWP//5z1uc05msUP2NjHBCCNGLwuEwM2fOZP78+RxzzDE899xziTW3Qggh9l8//PADl156KZWVlTzwwAPMmDGj1fP6Q1aorpIAQwghetFnn33G/PnzOfPMM/l//+//Ybfb+7pJQgghekFjFqhAIMzOklruu+9+amtrefLJJ/nxj3/c5usas0Kt3ViCaSp0XcM0O5cVqr3N5H1JAgwhhOimznTsZ5xxBs8//zwnn3wyhmHshVYJIYToKcce2bn6FLtngSoud3PYlEv4xbXXc/KJLceKptmmWssKZTFiHH3EmH0mK1RXSYAhhBA9bPv27fz1r3/lT3/6E06nk9NOO62vmySEEKJBZ1LJtmX3WYrG2YXGLFA+Tym6rjMkfwzbimtwJSVx0lTVYZCwe1aokybnM+WYQ/tlcAESYAghRI9avXo1l156KdXV1UyfPp2TTz65r5skhBCiB7Q2SzFudB6nHX8QazeUUFK0nnVrluNKSgVOaJYFqiAvo8PrN2aFWruxlIVLIxw3+bDe/6F6iQQYQgjRQxYuXMhVV11FOBzmqaeekuBCCCH2E63VqhiSn8najSWUltfy7XffsnXT96SmZnLYUScklsQ2ZoFqGmC0NgvSX2cq2iIBhhBC9IB33nmHG2+8EYfDwSuvvMLkyZP7uklCCCF2090v94laFQWZ1LrjaWMNQycvJ5XX3vyQ8vIKhg4ZSuHIw7BYrEDrWaDamgVprWJ3fyYBhhBC7KFIJMIjjzxCZmYmL7/8MgcddFBfN0kIIcRuuvrlvmkwsm5TGWi0qFVRXlZGeXkxI4cN4ZBDj0oEH7FYyyxQ7c2CNFbsbtwXUllZ2bsfRi+TAEMIIfaQ1WrlxRdfJBqNMnjw4L5ujhBCiN105st905mM3YORjdsqKCquoazSS0Wll8F5mQDk5Rdw0oknMfvWn/LpwvWJLFBFxfHgomkWqLZmQZru1cgflE6tx09FVX2/Xj4lAYYQQnRDNBrljjvu4Pjjj+ess85i0KBBfd0kIYQQbejoy/1fn/iYjDQXV19yXKvByNgRORSV1LB5ayUWPczypd8zevh5VNYEOH7yBMaNzmPc6LxEFqgrL5rSIjjoqGJ3UUkN//rgOz78YjWhUIj7H3mv3y6f0js+RQghRFPBYJBrrrmGF198kTfeeAOlVF83SQghRDs6+nIfCIQTxxLBSH4mekOAYFgMTjhmFOFwkG1b1lNdW8+q1VsSAYCmaYksUHm56RTkZbSYeWivYncsavLpl2sTQU1aiqPZDEt/G2dkBkMIIbrA4/EwY8YMli5dynnnncdDDz3UL6evhRDiQNLel3szpnA6bYljbQUj5WUlVJVtJBYo5Ywzf8yD917daiDRltYqdjfu1SjIy6C41N3u8qnOpLrdV8gMhhBCdFJZWRnnnnsuS5cu5Ze//CV/+9vfsFqtfd0sIYQQHWj8cr+juAbTjM8GxGImn3+1nnp/iPQmS5BaC0ZWrlzNm+9+CZYMcoYdS029nbf+swJvXbDTbWis2H3QqDxqPT5q3L74Xo3ReZx6/EHtzrDUevx7+AnsXTKDIYQQHWis+prhqGDdunX87ne/41e/+lUft0oIIURnNX65f/71xc02YucOTOXoQ4fh9gYSqWvzctOazTSA4pvlm9AtKeQNysHpdJKRltTqBvGOqoPvXrG7ca9Gcam73RmWpqlu+wMJMIQQoh1KKWrdPgLBCNMuOolPP/1U0tAKIUQ/0HhzaOqkXKD1L/dvffAtS77bSlmlp1nq2nPPOBSU4t2PVxKJmqRkDGJsTipOp4PSCg+6rjE4L5N3PlxBKBTl1l+d3ul2Ne7VyEhzJZY97b58ClpPddtfSIAhhBBt8HgD3PXAC7z93kJGjjkkMfDk5Rf2u4weQgghmn+5zx+UztLvtlFW6W2RulaZMTaseIdMRxI5BRPx1Ac4aNQgVqwuYnBeJodNGJK4XtMN4nvSrqYzLKFQqNVUt/2FBBhCCNEKpRS3/u4J5r//JZgBHFaz3ZzpQggh+pedJbV890MRNqtOktOG3W7BMHRys5N5+vk3qdr6CSkZeRzuHE56mqtFJqdYzESp5hvE90TTGZaSknJm/ep/pA6GEELsL5RSPPDnvzH/vf+S4tI56JBTSE5O7dcZPYQQQuwSCIb5+7wFeLx+LBaDcLiC5CQ7w4dk8v5771JW4eXHZ54NSQejaXqr2Z92FFeTlurEHwh1uSheW3s1GmdYouHkfj3GSBYpIYRowjRN7rnnHv722JOkpqVyyaUXk5ycmni+v2b0EEKIA8UzLy/k6Ze+pNbjp6TMTVllXbPZh6sunoKpoLi0FsPQsVp0HA4rbq+Pl/75AcVlpRw09iDuvef/0HWj1exPm7dV4PYEqK71sXDpJu5/5D0effZzPN5AH/7k+w6ZwRBCHBCUUvz1iY+bZe2AeEGlWo8/sR43EAjw1VdfceghB5E/ZioulwulqgmFopRXebFZDGJRs99l9BBCiP1B48btqy85rtnfmwoEwyz5dtfG7XWbinjypW85+vBh3HDVyYlCemNH5rDku62EwlEAdKIEQnDwhGP5yTlTKRi0awah6fIlvz+ErmsUl7kxlWq2d6MnltBefclxbNq0qduv3xdIgCGE2O95vAGef30xH36xOpElZPiQAXi8AT7+7xo0TWPU8GyOOnQ4V1xwLK+88gpJSUn84+XFrFyzg21F1VRU17FxWwV2m4XRw3NITrL39Y8lhBD7tbYCiPYopRqCCy8+fwhN05h4UDYr1lSy5LutXK9Us0J6yS4b0WgUny+EYTjIyx/ClMkTmXH+ZAD8gTCRSDSxBKrx5tLmbRXxonie/l8UrzdIgCGE2K8ppXj+9cWs3ViSyBIycEAKz/1zEd66AJFIDE3T2L6jhO9/2Eo4HOWWa0+jpMzDkYcM4ZP/rqGoNF6YyWGzMCQ/k+QkOy+8+bVs9BZCiH1Mcam7ISuUC38gBICu62SkuSir8FBc6iYjzUUoFOXrb7dSVlFDMOAlMysHu93CQaPzuPbyqSgFjz77OWs3lgJw/yPvMW50HroGgUC4w6J4EmAIIcR+rHEqfEhBJrVuP0oplq/chtvjJ2bGM4DEIj5Ao9Yb5J2PVhAMhSku81BXH2TN+hKUUmiAAnRdIy83Xe5SCSHEXqYaZh8CgTBFxTWJGkVNN1jXuH1EIlE2b6ug3hciKyMJiPfdmhb/8j9+zCDq/SF+WLcdn7cMXTewWzV8/jBKKfJy0vh/zy1g7cYSXE4rWpMlUPW+EIccVLBfFcXrDRJgCCH2K7vvtahx+5rdaQqGopSUewDQgGgkgMIkIz0di8VOcWkty1cVYbXqbNpaQUyZ2KwWlKlIctmoqqnnh/Ul5GSnyF0qIYToAZ1ZCtV0qWvMVHz21Tqqa+rJHpDSrDjeOx+uoLjMTTQWIxyOoWkQDEXwB8L4/CGCoQg7S2v5ftVqqsrLMSzJJKVmorCQmW4n2Wnn2++LEjemVq3ZCexaAlVUXMNF04/irQ9WtMgq1V+L4vUGCTCEEPuN1vZaFOSmEwxFEneaotH4kijTjBGNRFCY2O3JpKSk4POHCEdiZGclU1FVRzAYwWa1EInGCEYimKYiNdlJRaWXZJdd7lIJIUQveOblhSilcHsDidmKtz74jrWbSklPc1FUXIPVaiFmmvj8IYbkZbBmQzGLvtlERpqTzHQX5VV1oCl8/jCfLNxEKBTD5bTx9Mv/Zd2alZSV7CA5yWBAXgGabmHwoEzsdgt2h4WdJbXtLoFyewLNiuJpmtavi+L1BklTK4TYL+y+1yIzPYkh+ZkUl7nx+8Ns31mNaSosFgOrVSc+fwGGxYXFasVUJuFIFKvNwsABKUSjMQxDJ8llJxaLBycxU4EG/mCYgrwMuUvVDXfffTeapjX73/Tp09s8v76+niuvvJLU1FSysrK4+eabiUaje6/BQoi9LhAMs2DxBj78YjVfLt3InX96m7c++I7ySi/bi6opr6ojEAzjdNqo94XwBcKkp7rYsKWc9LQkcgemYZomoVCMQDBCVbUPUAwbMoDBgzIor6rHnjyQIyadSDCsCAQjTD5qBBPHD8aMKQryMjpcAtWYVWraiQdz/KRR3Dnzf7jhypNITXH2zYe2j5EZDCHEfmH3vRbQMKWdn0kkGiM/N4PN2ypRponLYScrIxlvXYCoqdA0qK8P4XLayM5KIdllw2IxAMjJTsFbFyAUjhKJRPF4/KSmOLnsJ8fIXapumjRpEvPnz088djgcbZ57/fXXs3TpUj7++GN8Ph+XXXYZKSkp3HvvvXujqUKIPdCZpU9N91XsLKklLzctkQWqMTFHZnoSP6wvprTCQywWA9jV/2oQDEZQGugahEIRyiq9zfpnl9OKruuUVXqxWC1c9NMz+Oe731JcVpe4mdR0idMRhwxh8fJ4YT2lFJrW+hKoxqJ4GWkuWS67GwkwhBD7hUTaQU0jEIwQjcbw1gVITXZgt1s4e9pEIt4f+OSzL3nk4Tl8vmgzH3z2AzVuH6Zpkpbi5OxpE9E0jS07qrBZDZKT7NT7QthtFtJSXRw/aQS1ngBHThzK2JG5ff0j91tWq5Xc3I4/v9raWl566SU++OADjj76aADuv/9+br/9dmbPno1hGL3dVCFEL2prWevOMjfZWcnoDUFCksuG02GjutaHxRJffJMonKfA4bDGZxcU1AfClFd6CYd3zXSGIzF8vmrCoRSqa+rZvL2KcMSkrj5AIBjBajXYvK2CQw8ewozzJ6PremIJ1OJlW0BDlkB1kQQYQoj9QtO0g6vWxjfleeuDZGUkk5nh4qknHuWtN15k4sSJDB+SxZGHjuLic49m3cYyqmt9DMhMYszIXFKSHMx742vWqhIy0lxs3FbBwOxURg7LJhSOceShhTLA7KGVK1eSm5tLamoqp512Gvfffz8ZGS3v/i1fvhylFCeeeGLi2CmnnEJ1dTWbNm1izJgxe7HVQoie1FoK8SH5mXy/dicVlR6cdgs2qwW73UJKsoOBA1LYVlQFSmG1WQgEwvgCYRx2K0lOGztKahg1bCCrfigiGonPSkSiJqAIhUOoaPw9V67ZSSAYxm6zMGLoAIqKa/AFwmRlpnDdjKmJGxeNS6AWL9tMJBLlzpn/k8hUJTomAYYQYr+Ql5tGvT/E9p3VWIz45ryUFAc7dlaxYUMFNVv/xYknnMDTTz9NcnIyAKnJTtZuKkts0hs+NJtxo/O4/KfHUO8LUevxk57mBAVubyBR7VsGmO475phjmDdvHiNHjmTbtm389re/5ZxzzmHBggUtPteKigrS09OxWq2JY9nZ2YnnJMAQYt+1+9Kn3fvO4lI37360kox0V2KmIhqN4fYGqPH4iZkKi6GTnGRnRGE24XCESDRGJBojHIkRMjR0Q8dutVBUUsv4MflUVNbx/bpiFBAKRQGFMk00QLOkYLO78HoDWG0Wkpw2yiu9uOuCgOKT/64hNcnOjVefQlpqfB+Fpmm4nDZw2tpcAtWVIoAHEgkwhBD7hZIyD8kuG0MLMvnu+x0oYlRV1+GuKaHOU86ZZ0zn6ScfSXxZbevu2dqNJYkiek0HlMH5ffWT7V/OOOOMxN8nTJjAuHHjGDlyJMuXL+fII49sdm5iCUQTHQV3c+bMYc6cOYnHXq+XTZs27WGru6eqqqpP3ndP9cd2S5v3ns60u64+xNsf/cBnX21C0zTWbSpiZGEW008fT0qyHYANWyopLa/F7akjNzsFgMXLNlDj9mM1dKLRKDarFbfHx78/WoHXF4xnAIyZRJWJQsMwTep9AVx2OOP4wfx93tdkpdnx+0OEwmCa8SDDMGyYCny+INFYlPRUJ8qEYDiCrsX3WFgtsPS7jTz0pJ9Lpx+W6Gvq6+sB9no/sq//fowcObLd5yXAEEL0a0opikvdfLNiG8FQfM1tOBJDKdCUwjRjDB8xglm3zmx2J7zNTeF5mVJEby8aMWIE6enpbN26tUWAkZOTg9vtJhKJJP6/q6ioAGDgwIGtXm/WrFnMmjUr8bigoKDDgbA39eV774n+2G5p897TXruVUjz67OdU1IQZlJuFrmmMH1tAUUkNC78t54YrT0LTNByuLIKhd4mZiqSkJALBCL46HwOy0qjzRXA6rIRCURRQWeMjNcVJIOiPFzzVQEPDVBAIR/jPlxs5aMxQ8vJy4PtSQpEo0DBzoVuxWHRiMYXDYWPggBSys1LYWlRFcpKTuvogSinsNjvjxg6hvCqAM2lAov9PTv6qw5+5t/TX3w+QAEMIsY9TSrGzpJZaj7/FEqXGDYJrNpTgD4T4+tst2KwWnA4LFouF7AFpWKwjsNksZKYlNbtuYlN4G3nOpYje3rFjxw7cbjeFhYUtnjv88MPRNI0FCxZw6qmnAvDZZ5+RlZXVrwdeIfZnnb15k5ebhsViEAjGi+DtLK0hFI6CFl++OiQ/g1A4RmW1F38gQnZmMm6PPx40aBqaBrGYQtMh4A9R4/ahaxqxaJRYTKFrOsrQ0TUNh8OKrulomkZ6qpMatx+loK4+SCAYxjAMsgekkJHqoq4+2Kz/P/bIEX34afZfEmAIIfZZHm+AF9/6jvLqMLquYZqKcaPjWTxSUxwNwUUxJWUefP4QFl2jvt6P3+chyeUELQdd35XKsKmMNFeHec5Fz7v99ts5++yzKSgoYOvWrdx2221MnjyZI444guLiYk455RTmzZvHpEmTyMzM5JJLLmHmzJnMnTsXn8/H//3f/3HddddJBikh9lGduXmTkuzguX9+hT8YJhKOJhJzGIZOKBxFA3Rdx+nQcdht8ZtKmgZa/Lil4TylQDPBZ4Z56V9LCPoqqa31oixZu95YoyH1uJV6X5DRIwdRUlpLRZWXSDSGYRjkDEhh4rgCYqaS/r+HSIAhhNgnNe6R2Ly9mnA0fhdqwkH5LF+5jfJKD+dMO5QVq7dT6/GzZXsl0WgMfzBMIOCPT4nb7Hi9AQYOSCUrIwm3J8DgvF3Xzx+UzrjR8TznpqnQ9dbznIuetX37ds4//3yqq6vJy8tj2rRp3H///ei6TiQSYf369fj9/sT5jz/+ODfccAOnnnoqFouFyy+/nLvuuqsPfwIhRFuunvU8/kCYtFQny1dtp7i0lsF5mcCumzfpqU7+9swnvDZ/GQF/GDTQwhGUgtyBaSS77ASCYQBMUxGLxkhNdhCJRFGmQmmKsKlIZKlV8ZmM4rJqVMSP0xpFc1gIBONLZq1Wg+ysJMKReGaoIYMymDAmDzSNtRtKcDlt6LrO6nUlZGUmtej/ZRN390iAIYTYJzVOsw8amEpRqY9INMbyVdtZv6mMRcs2s3ptMZu3V5KW6iQciRLw18cHJU3D4XAyOC+b444eRZLTRlFJbYs7UpqmJfKcr91Qgm5okud8L3jttdfafK6wsLDFxu7k5GSee+45nnvuuV5umRCiJzgdVsaNzuPdj1Ym/j03vXljKpPX3lmGLxDCMOIzE06HjXpfkOraegblpFFVW0+N28eIodkcd/RIKqq8vP3Bd5gKUDT+kaDMeDpazZKCac3A2mT2JBKJ4fEGSU1J4kenTEApKKvwcui4AnaW1OCtD2KEotS6fRx/zCjp/3uIBBhCiH2OUop1m8pw1wXQNQumabKzpAZd19ENHYtSJCXZ8dYHsVp1/D4vvroqbI40klPSCIViOB02klz2dmckGvOcF5e6W93jIYQQomsab958891Wvl9XR43b1+zmzfufrsZbFyQjzUUgGAEFoXA0vmE7GKGouAarxWDsqFxu+9U08nPTefDvH5OdlUJFdT2muVtwoeLLXDVdB3TCEZPMdAfhcJRo1IwvzdI1zjjpYJSCjxf8gGkqKqvqqPMHcTpsxEyTtFQnP/vJMaSmOPvgU9v/SIAhhNineLwBnvvnIl59eylllV4yUu2YCmo9AZwOK4FghFjUZNPWCgxdo8btByzohp3MzCxMpaHpBpkZSZ2akdA0jYK8DNnQLYQQe8A0TaprfQSCIdZvKePgsXnUenwcNCqP/73mZAoGZaBpGh8v+IFoNNbsdZpmYLHoRKMmdfUhTFPxxVfrGTl0IKedMI6tOyo5+vBhrN9cjqmbRKO7ggwt8ceuWQtPnZ/GbRsZ6U7yc1MJhSKUVHhIT3NRVFxDzDRBxd8/I82Fpy6YSFEuN5n2nAQYQoh9hlKKJ1/4Lx98/j2lFR7CkRhVtVFMFd/gbYRjhMNRTFOxZceuHOGaBhZ7JnW+MMlJdrIzk7nwnKM4YsJQmZEQQoheVlRcw633vcHyVdsAuOTafxAzTZJcdkLhKG99sAJdA6fDxqDcdHRdJxSOxPdUKDAMjVDIRClISrIRicSIxUyWr9pOeZWXzdsqsVobEztoaNquPRhoeov2NO6/0HUNnz9CcZkX3bKTIw8ZSkmZh3pfiOFDsymt8FBdW08oFCU9VWfZim3sLKllcH5m739o+7mW/68IIUQf2VlSyweffU80amKzGiQ5bSS7bEQj8cAiFI4QjZkNS3CjYMbQ9fgmPzTIykgiOysFh8PK9p3VElwIIUQveOblhTzz8kIgPgNw631vsHFLOQ57/L61YdGIRGJ46wOkpThZu7GEJd9tRSnF0PxMCnLTiUbjfbkColETU4HdZsFht5KW6mJAVjKZ6S52ltQSDEcxDB2r1QLKxIz62X0fRmt0DawWHW99iIoKL5qmxWdPtPjstVIKFPgaqo1/v76Yv89bgMcb6L0P7wAhAYYQYp+xfnM53roA6anORJ7z5CQ79oZBKxSOF9Azzfh/0bV4jnO7BaXid60GDkjlhKNHsXZDKcWl7j79eYQQYn+3fNUONm4pJy8nrSGjk4nTYcNmtxCOxKj3hRicl0lZhQe3x4+nLkhWZhKariU2gccraes4nVbqfSGUUigTXC47LpcVl8NCVU09sUiIcDgEyuygVWCxaNhtVgZkppA3MAVfIITH68diMeJLo5SJxxsgEo3hdFixOywkOWwUl9Yy743FLRJOiK6RJVJCiH1KY5dumopAKEK9L0g4smswUUo1VGc1AA2X04bL5aDG7WNAZhJHHVqIpmnoRr0UyxNCiB6mlKLW4yfQcNe/qKQGraE+xa4v5fGbPxaLQW5OGrquEQxF+ODz1USjMdzeAE67lYDNgtVqYcLYPFb+UEQoFMXpsFJd68MyQMfQNdZtLKe8yovX48YfCKDrDiw2O5pmEGmylwPiy2WVaijEh0bMNElNcTBuZBYr11Wyraiaiiov0ZhJVXU9wWAEp9OGYegEgxGGFmQxZkROs4KAonv6VYDxhz/8gTfeeIMNGzaQkpLCGWecwZ///Geys7P7umlCiD2klCI11YHNalBR5SUWixGNRptt5otnC9GarbnVNA1di0+FpybHZz6kWJ4QQvS8xuKni5bvRNM0isvdpCQ7iMVUw2btxiWpClMpUAqH3cKS5VvYVlSNUvElS3a7hbQUJ+FIjEgkSo3bR8xUxGKKcCSGw27FNBVv/2clAzKTiPgrqKtcj9WRgiNtFMlJTpwOK3X1ITzeAPEJbQ20+A2oJJcNNHDYrBx5SCHhsI/hQwYwtCCLtRvLsNssNO4Ct1oNQqEoyUl2Jo4rwLAYiYKAEmB0X78KMBYuXMisWbM48sgj8Xq93HjjjVx44YV89tlnfd00IcQe8HgDiarcdruF7Ttr8AdC7FZku0m2kPj0t67pWCwGbm8Al9NOaopDiuUJIUQvaFr8NCM9CV3TGJKfyfadVTjsFkrKPWhavBp3Ta2PcCRGaoqD0nIP24qq0fV4so5oLIYZVPF9F6ZC06BgUCaRaIyqWh9Gw/JYd10Ai6Fz/NEjmV9dgTMpjSEjDkPTLASCESLR+CbyYDBCKBLFatFJSXFiKoWhaQRCEdJSnSS5bGzfWcbRR4zh+itOZM2GUiKRKLffcAa33P06KUl2rFYLDrsFu90qN6h6SL8KMN5///1mjx9++GGOPfZYPB4PaWlpfdQqIUR3KaXYWVLL3+ctoLi0Fn8wzICMZGrcPvyBME038ekaKHQU8YwjKIg1zGjk5aQzZngOySl2KZYnhBC9YPfipxAPJoYWDCAQiOCpC/Dd93VoNPbcCsMwKCqpJSc7hWg0hrc+2LC52yQYiqJroOkaHq8PjzeA3xcCDXQtvjzKMDS+X1eCYUshv/AIPHUhdD1KwaAM7DYLRx82HKfDyhvvLcc0FU6HFd3Qqa6pJxSJNtRCqmVkYVaLMWHQwDSG5mdSXlVHcpIlMfstN6h6Rr8KMHZXVVWFw+EgKSmpr5sihOiixlmLN979huIyDxnpLpRS5GankeRykOwKUVcfIhYNolvs8foWxCcwXA4bSS4bVquF+26fzo9OHk9puVeK5QkhRC+p9fjRdA1db963GoZOSoqDW649ndkPvksgGGLSocP4ZOEagsEoKckOjpo4jOLS7+LpZ00TXdMwVUOq2Zhi2cod0LB/AkDXTEKxAKDz/Zqd1AfC2KzxfXcWQyM7K4XDDh5CZnr8+5/TaWPY4AGMG51HIBDmiguP5bX53xAIRrjyoikEfFUoBY8++zlrN5YC8PtH3icaM8lKT6LaXY+maXKDqgf12wAjFApx7733MmPGDCyWfvtjCHFAapxqX7lmB566IIFgmFhNjGAoSlVNPdlZKYRCIUzTRDesDekEd81n+AIhDENnzMhBHDdpJIZhSLE8IYToRRlpLkxTtVi62rikKCsjmayMJJRykZbqiu+3sBpYLfEieqFwlGgs/uLYbhmaVOKPxmtGAQNNt+KtD8ZT2WpgKgiGTFat2Ymuaxxz+HBuuOrkFu0cnJ9JRnoSGUBBXgYbN1bx/OuLWbuxBJczPqYMyc9E02DcqEEEQ1GCDcGI3KDqGf3ym3ksFuOyyy4D4MEHH2z1nDlz5jBnzpzEY6/Xy6ZNm7r0PlVVVR2fJBLk8+q8A/2zKqusY8nydZSUeSkpd6MUhCPxbCDRaBifvwrMKBoaaBYshk4kGh+YbFYdl9PGiKEZWIwYDz/1by6dfpgMCOz936uRI0fu1fcTQvSd/EHpjBudx9Jv12OaOrrecklRJBJlW1E1O4qrG5J1KNyeACXlboKhSKfeR6kYoKHpFjQ0dEMjEjEJheNjhMXQcDqt6JoWr6OhFFdfcly71yyvqmfthhKGFGSyas1OID7zMjgvkzUbShlROJC83HS5SdWD+l2AYZomV1xxBevWrWPBggUkJye3et6sWbOYNWtW4nFBQUG3BkMZQLtGPq/OO9A+K6UUxaXueHrDcBhfQLF2cyUtU403TFXoBoZu4HRYyMlOo6Tcjd1mYUh+FqnJTo45cjimqSgqrsGZNEAGhgYH2u+VEGLv0DSNGedPprq6KpFFqumSIoAjDx2G1Wawel1JYqbD7fFhKjD0jm8CxdPc6g2JAuPn2ywG0agJqiENLVBT66O0wsOK1TvaTCfbNOjw1gUblnc1L/9mGDq6oREIhGVTdw/rVwGGUoprrrmGr7/+mi+//JLMTCnlLkR/sCtLVAnRWIy1G0rZvK0yMV3eXDzVoMNhR5kmNlu8iF5KspPMtCScDhsOR3yK2zA0SScohBB7SVqqk8vOPYyUlHQCgXCzJUU7S2p558MV1PmC1NUFicVMYjFzV22jThSu05r/EV8aFVOJG1FKgaWhvka9L8S2ompq3L4O+//UFEfD8i6TwXm7vjs2Lu+68qIpMob0sH4VYFx77bW8++67vPfeewCUlZUBkJ2djWEYfdk0IUQbGvdbrN1QQnFpLTt21uALhHYLLhSJ/LMAaAzMSiIYjJGWYuOow4ezfOV2NB2sll3/1iWdoBBC9L5nXl7IomWbOfbIEUydlEtGmouMNFezL+W1Hj9llV7qfUGsFoNYzCQaizULDlrXpP9vZanr7sX0TFPhsFvJSHdRVuElFI522P6cAcmMG53H2o0lmKZqdXmX6Fn9KsB46qmnADj66KObHd+6dSuFhYV90CIhREeKS92sWlNEda2PjVvKcXsDNNvNR+PAo5rto6h1B3A4bKQk28kdkIrNFu+ujjqsEEvD4CWDgxBC9J1nXl6Y+Hutx49pmiilCEeiiara7Wms/K01rn9qhWnuPl4oAsEw24qqyR6Qgt3e8VfZxuVdz7++mHc/WiEZo/aCfhVgqE5Mrwkh9i3V7nrWbS4jHIriC4SImSZ2m4VoLH7XKTHANOngNS0+na4wcdgN1m8u50cnHwxobN1eiW5omDElg4MQQvSBxv0NV896HoBjjxxBWooDl8NGrduPYWjxehftfG1TDXWMgDaDC4hX/jZNRczcNVbomoZSCmV2fgY7LdXJjVedRDgcbbG8S/S8fhVgCCH2bU03cmekuUhOsvPSm0vYsbMGh91CIBgPKoKhKLBrXe3u/bvdZiEjzYW3LsDOUi/p6ek4bFYuP38y9b6Q1LsQQoi9RClFrdtHeaWXdZvKGF3oYsSI+Izzlh2VKKUYNmQA36zYSp0viEIRDMXav6gZ35uhae3GFon3bzqLoZTCarOQkmTHMPTdJ8TbpWlaq8u7RM+TAEMI0SOabuRuXN/q9gaIRWMoZeL2+Judvyu4aDm6uJw2UpIcRKIx0lOdjB2Zy9pNpbzw5tfccOVJMjAIIcRe4PEGeOrFBbzw+te4vQHWbylj4dL1nPujSpwOC6XlHmKmyUtvfk29P0g4HGtRiK8FpVAaaGgNwUXr58eDDy2e/Yn4Uiml4sd8/hBOu5XxY7JxewMMzu/pn1zsKQkwhBB7LLGRe2MJNW4fuqYxdHAWC5duxOWwEQxGW9xkio8rzQcWXQdN00lOspOa6qTW48di0XflK19f0mZKQiGEEN3TuJeiaWpXpRTP/3MR73+2mphp4nBYSE1xEouZ/PuTlYTDEWrdvsT5mgaWhuVM7dJAU61PXRiGRiym0GhMa6thMQyUrhKbuV1OGyMKBxLwhwiHY5LkYx8lAYYQYo8Vl7oTRYxqan24PT5Wrimiura+RdXXhN2DC4143QunFZfTTl19kOQkO/aGzd2N+colJa0QQuyZ1gKK3RWXulm+ajvRSAyn00a0PoimaaQmW9lZ6qW61tfsxpEGKBSG3trVmmYK1NqatMDQdUwzhqXhIpoGuqahW/SGpbXxscBmMagJRSjIyyB/UHqnfp5GnTlH7LlWfw2EEKIraj1+NF0jHImxbWc1q9YWU1Prax5cKBXf0N3Grj8FpKQ4OPLQofgDYQZkJpM/aFcgISlphRCi5ymlqPX4KSlzs7OkNpF4o9bjJxKNoelas6WsJeV1VO0WXEC8D4+npt3tGRVf2tSZRD2aBrquMXBACpquE40pItEokUgscU/K5w+xZXslSS47l/3kGNmHt4+SGQwhRLc1buouq3Czo7iaFat3UFbhJRyJYWlWmkbtun/VxliQnurir3edz9CCLN75cAXFZW6qa+PT75KSVgghel7j3rkPv1iNpmkUl7sZNzqenS8jzYXFYlBdUx8PNBryzjb2y21pvkRKJXr/juIAXYNRw3IorfAQiymSnFbq/QqbzUIsZiZmszPSXOi6Tl5OOmNG5CQCpEAgzM6SWkn+sY+QAEMI0S2NA9Mb/15GUUktfn8okUYQIFEbSalEtpC2ogtd1yjIS2doQRaHjCtgaEFWojifz6YkX7kQQuyhxmVEV108hVqPH38gxN+e+ZTisloy0pPQNY0h+Zms3VjCvDcWc/0VJ3LkIUNZsXoHvkAYm9UgEo21vey1BROl4v11458WQ2sxw9G0XkZlTR2pKU4GDUzj+3XFiSdyslOpagh0lILhQ7NJTrKzflM5H3+5ttUAKS3Vucefmeg+CTCEEF22qzp3MaXlHkKhSLPgoul50H5wAfHN3bkD08lMTwJ25SsvLnWzavU6Djl4rNyVEkKIPRQIhnn02c/58IvVhCMx6uqDDC3IRNd1dIvRLKFGSZkHXddISXZQ7w8RDEbx+cOdzAqriJe5aCygGu+7W10l1ZhRUNewWgwCgTAWi05aigNNgwlj8pl85HD+9f53xEyTM046mNRkBzuKa3jhza+p9fhaDZBuuPIkGTP6kAQYQohOaVrjIhiKsHZDCaYJdfVBzDZuaXW2czc0neyslGbLnzRNoyAvg6A/WzZ1CyHEHlJKseTbrSQn28lIT8LnC2GaJtW1PsLhGEMLMoHmCTUcdiuD8zJJT3VRVx9ke3E1oXBn3k0DzUTTmq2VxVSqRYXvxnS0SsVnxtNSnazdWEpdfRCLxWB7SQ36dzq6rmG1WhOZrOp9Iep9IcaOyqXW7U+0XTIO7hskwBBCdKhxOdTqdTtxe/1UVNYRCEbQ9fiA0Xzyomm2kI5ZDA2n084pxx0kd5uEEKIXKKXYXlzDlh1VnHDMSGpqfVgsBhCfodheVE2oIUtTY0INw9CZ9/pithZVYbMaBENRYtGOC+ihN2aAMlo87XRYCQYjaHpDzikFuqEnKnOHIzEqquuwWAwcdgtZmcnk5aSzfWc1Pn+IrIzkxJ68gryMeFp0vXm+Isk4uG+QAEMI0a7G5VDLVm5l8fIteOuCaChiDetom894N1bnVs2CBUOHWMMkR+NhXdNwOKwMyEwmNdnB4QcP3gs/jRBCHFgabxB9tnAdldVeFi7dTCQSJS83neysFKpq6gCIRGPEYiaff7WeYCjM7x/5NzUef8M2bUU4Em33JlBiSWw7N5mCoXhwoVSTMaJhn55h6FitBsFghOzMZApyM3A6bRw0ehAAq9eVYLNZEnvyTj3+IB55+tMWM+iScXDfIAGGEKJdxaVufli3k9XrivF6A63utQASgwS0rJ+kiBdNGjo4Cw2oqqnHMAwGDkjBajU485QJcqdJCCF6WNMiqFkZSXi8flJT4jMWJWUefnTyeL5bvZNtO6rYXlzDkOIacgemUlcfZNXaYurqA4TDMWLR9lLNNkk/3sF+O9SuTd26roEOsZjCamg4HTZisXi2qqzMZBwOKwAOu5WjDx9OrdvPIWPzuf36MxLLaceNzmPtxhJMU6HrmmQc3IdIgCGESGi6zyIjzUX+oHRq3D6Ky2spKfO0HVywe3DRfIAxTbBade66+cds3l7Ft6u2E4nFsBoGR0wcyhUXHCvLo4QQooftXgQ1OSlexNRut1DvC7J81Q4CgTB5gzLIz0njjv89k1ffXsrzby6mptZPJBJFKTDNtpZGNc5aaw2xRfv9uFIQMxW6pmEYOnabBU2LBwaRSBSLxYLdrjFhdB7F5Z7E60xTYbUaDCnIanYzasb5k3n+9cW8+9EKNE2TjIP7EAkwhBDArmn0xo56+NBshg/JprKmjmUrdhCNtZObsPHmVTt3r8aMyOHMUybEUwnuFsTIQHDgmj59OvPnz+fjjz/m1FNPbfWcE088kQULFjQ79tBDD3HTTTfthRYK0X81FkHVdR1N08gflIFSUFPrIxyJUl1bz/Ah2aSFIkQjUZ775yI+/OJ7Kivr2rmhtIvqRN/f7PyGP2JKoSIxDMPgoFE5bN5WSTAUwVAmToeV5at3kJGWhL2hBkZRSQ25A9NI3y31bGPGwXA4SiAQ5sqLpsiYso+QAEMI0WwavTHd3+C8DD74bBWV1XXsvtOiBU1rd2ixWnSu/dmJic14BXkZsiRKMHfuXAKBQKfOvemmm/j1r3+deJyamtpbzRJiv5GR5sI0VWKfQlmFh4JBGQwbkk2Nu56J4wezs6SGLdurCATDbNtZjdsb2K1YXtu0Vv7W7vlNMkgZhobDbmH95nJi0RgWi052VirZWcls31lDTa2P3IFpzWYlUlNa1rbQNI2MNBcZaS4ZV/YhEmAIcQDafSmUUioxjd6Y7s8fCOMLhHF7AxiGTjTWdIo8Pi3e2btEBXmZTJk0ohd+EtFfbd++ndmzZ7No0SIGD+54g39SUhK5ubl7oWVC9B+NxfOuvuS4Vp/PH5TebJ9CrcePUgqH3Uqt28cHn31PNGaiNVTaVire97cfXiQWxHa4JKrFK5tcWNd0Jh8xnC+XbGT48BxSkhzY7fElU2NG5FBR5WXiuMHMvOaUDmcl2vr5Rd+RAEOIA0zjUqg1G0rQdQ3TVGSmJxFp2FwXCISpD4Tx1vnZvrM6kS1qF5UYJJplAmmDYWjkZKeSn5veKz+P6H9M02TGjBncc889FBQUdOo1Tz31FE888QQFBQX87Gc/46abbsIwWqbBFELsomlaYp/COx9+RzAUodarSHE5UGjxWEFBKBIBBbXKj6HTTrVu1bDRW+tqbNFCJBpjzYZS0DQcdisOhxWlFMFghEg0Ph6lJNllVqKfkgBDiANI06VQNW4fuqZxyLgC1m8qY8uOSrbtqGLtxjJC4Wg714j/tzMb+jQNcrPTyMlKoaTMIwOFAOL7J5KTk7nyyis7df5ll13G8OHDyc7O5uuvv+bXv/41breb++67r5dbKsS+S6n4jEQgEGZnSW2bd/nTUp1c/tNj+O/i9URjJkbEpKqmHqUUkWgUU4Ey4wXwotEYbW63UyqRzqMntjgopSir9GKaJmNG5rJ9ZzXFpbXU+0IoIByOsmpdcaL4nuhfJMAQ4gDSNKNI08qnQwoy+eyrdQSCkXZfvyvPOR2OMBZDIzXFyfFHj0SBFD0SAKxdu5a//vWvLFu2rNOvueaaaxJ/nzBhAoZhMHPmTO69994WX6jmzJnDnDlzEo+9Xi+bNm3a84Z3Q1VVVZ+8757qj+0+0NpcVx/i7Y9+4LOvNqFpGus2FTGyMIvpp48nJdmeOO+N975HKYWnLsiaDcVEwhFi0RihcCtZoRTE2sgWtSs9rdbpDd0dMXQNq0UjEFR8uXgt0ZhJIBTFZjUIR2IMH5qB3ap46Ml3uXT6YXu0cftA+/3YG0aOHNnu83sUYGzdupVPP/2U8vJyLr30UgoLCwmHw5SVlZGbm4vNZtuTywsheljTjCKNgsEI//54VQfBher0zIUGpKc6cblspCY7SU524PEEpOiRAGDJkiWUlZUxZMiQZsenTZvGRRddxEsvvdThNY444gjq6+upqqoiOzu72XOzZs1i1qxZiccFBQUdDoS9qS/fe0/0x3YfCG1+5uWFKKVYsHgDZZVeBuVmoWsa48cWUFRSw5xnvmbqMaO55tLjAcjOLqPW7WPJii1omo5SEIl0UI17N01rX/RkdiZN00lPSyJ7gE4kqvDWB3E4rJimRnpqElOOGoPFYlBUXIMzacAe36A6EH4/9iXdDjBuvfVWHnnkkURRlMmTJ1NYWEgwGGT8+PHcd999kkJQiH1MepqTel+IsnIPgWAEh93Cku+2UFpR28ErNeLVuRv/3jpdA5fLjstlJxYzGZCVgscTkKJHImH69OkceeSRzY5NmDCBJ598kjPOOKNT11i5ciVJSUkMGDCgN5ooxD6pcUlUeaWXHcU1DMxOQW/4wm8YOoPzMvn8q3W4vfHMbE+/9CWfLlyH02Glxu1j2JABVNf6MFstltc2TdM6td+uka5rKFNhsehEom2nN7dZDXIHplFXF2RQTjIWQ2dARjIWi4HDbsFujxfa0w1NZsD7oW4FGI899hhz5szh5ptv5kc/+hGnn3564rnU1FTOOecc5s+fLwGGEPsQjzfAv97/jqLiGlavK6beF0hkDIm2ueWi6bR4+4OL3W6QnuJC0zUMXWNAZipZGUlS9Eg0k56eTnp6eovjhYWFFBQUUFxczCmnnMK8efOYNGkSmzdv5tVXX+VHP/oRGRkZLFmyhFtvvZXrr79efqfEAaMxOceHX6wmEAxTWu7FWx8gLyed5KT4kihD14hETXbsrOa+h97lvY+/x+sLxjNGeXyYpkms7d3buzEbMgXGZ7u78m9NAwyLwUGjclm9rpi2Mt4qpRKpaFOSHNhtVpKS7ImgCSAWMzFjSmbA+6FuBRhPPPEEP/3pT/nrX/9KdXV1i+cPOeQQPv/88z1unBCiZzRu7l63qZSkJBvbd1ZR7wu3cydr9yVRbV9bAyxWg5FDszn1hPGcctxBWK0GdruFzLQkKXokuiQSibB+/Xr8/vgeIZvNxocffsiDDz5IMBiksLCQW265pdkyKCH2Z02Tc3jrAtS6/QRDYUKhCLUePzkDUhhZOJAfNpRSXFpLNBqjuLSWQCg+S23GTFBQWVNPZycvGqtzd0fMVChMat0+MtKTqKn1tUh7q2kQM01Sku1kZSRxyLgCTNOkvLKOjDQXuq4lCuzJDHj/1K0AY9OmTdx4441tPp+VldVq4CGE6BuNm7sHDkjm4wVr8NaH2jlbNR+EOthvkZuTxjGHDyMcjnHFhccyOC+zp5otDhBN13gXFhY2ezx48GD++9//9kWzhNgnJJJz5Gfw+VfriURj6LpONBrDUDreuiAfLvihIeW4C58/SDgcBaWIRE0MPUowFGlzJqG5hv5fgabF09F2lt5QR0M1/L3a7Sc7K5msjCR2ltYSDEZwuexoGvj9YSCewnzi+MHMOH8yM84/ludfX8y7H61A07RmBfbkJlX/060AIykpCa/X2+bzmzdvJjNTvmQIsa+ocfvwB8K8Nn95Yn1ua9Rut7c66tTT05xccu4kdF1nR3E1bk+AwXk90mQhhBDsSs5R7wsTCEYwDA2bHq8BE4spItEYFVV1HDwmDzNmsmZjKVEzvsTJDMfABE3X0GKqwwJ6u5JFdb2InqnAYujY7BbSkh1MPXY0Hm+ALTuqiUZN0MBus5CS5CAWqyPJaePGq0/hqImFibHmxqtOIhyOEgiEufKiKTID3o/pHZ/S0pQpU3jllVdafc7r9TJ37lxOOumkPWqYEKJnuD1+nnllIZ99tY6q2vpOv66jPl3XYOjgAei6LutkhRCil2SkuQiFoixdsZVQKEIgGMEfiDQk2QGrRcdq1VFKUV5dR9RUaNBQmVsRicUwY6rDyYimy2K786XeaJjCUKbJQaMGMTgvi5ipyMtJY0h+JlaLhXAkRjAUweW0kZebjtNua/ZemqaRkeYiLzedgrwMCS76sW7NYNx5552ccMIJnH766cyYMQOA1atXs23bNv74xz/i8Xj47W9/26MNFUJ0ndvj5xe3v8A3323rsMZFU53Jc56a4iAzzSXrZIUQohfl5aZR7w9RUVUHKJQZ37+gFGhRE7vVIByOsmFrOdGoiTLN+D6IhoBBNa6N6mCJlNb8jy5TgMtpJRI1yc1JIxYzsRoGFkNn4IAUKmvqSHY5+PFph5DktFFUUis3pfZj3Qowjj76aN544w2uueYafvaznwFw8803o5QiOzubN998k4MPPrhHGyqE6BqlFA8+8RHffLeVOl/Hey7iM+IdDyy6DumpLiYfMYLkZLuskxVCiD30zMsLAbj6kuNaPDfnyU+oqKpj+JAsyio9mKbZ0NcqdA3C0RgKCAUjGBYD3dBpuxz3bho7f9jj8tymqQhFYuhouD0BIpEY48fmsWzldtZuLCMQjGCa8MP6UgZkJDHx4MGt3pRq7TMQ/U+362CcddZZbN++nY8//ph169ahlGLUqFFMmzYNl0siUiH6glKK4lI3tR4/gVCYD79YTb2/7eCi6Z6LpuNMWxx2Cz86eQJ//r/z8PnjGUwy0lyyTlYIIXpJIBDGatE5aHQey78vIhqNYZomURNiCvyBJrPTrVXoboNSJqChdabzb2AxNKKx1qdCLBadSDiGrmsEAiGOmjiUQChKSrKdzIwkojGTJKeNHcXVOBwWLv/pMTJu7Me6FWDs2LGD7OxsnE4nZ511FmeddVaz5wOBAJWVlS0qtQohekbTQKLxC77HG+DRZz/jh/Ul2O0Wat317CypbTMtYbPqrNDhAJOe6uS8Mw/nj3eeh67rZKQjhY+EEGIPNRbQCwTC7CypbXHDxum0oZRq2OCtY7cZDZkAu1Ywr/l7Nta5UKB1bjuuYWhoug6x1oMYi6GjaxpWi86tv5pGXk46f/jb+4wsHEh9fQhlKrKzUphwUD5uj5+6+hBpqXJDen/VrQBj2LBhvPDCC1xyySWtPv/OO+9wySWXEGvjl1AI0X2NBZcaU/kNH5rN8CED+Pq7rXy/ZifRWAynw0Y0arZZRbVZcNGJNbeGDgePzePOmWei693KDSGEEGI3TQvoaZpGcbmbcaPjS07TUp0opVBK4XLa+PrbLSiliMUUsc4ugWqhcW+G1ullsY004suy2ryyguRkB3kD03A57bi9ATRdQ9d1NE3DajVISXaQkZ5EnS8o1bn3c90KMHZPZbm7XesDhRA9qWnBpYz0JHRNY0heBu98tJKyCg+pKQ7qfSHC4Sje+rbS0bYoedTue7qcVgryMrn9uh/J3SYhhOgBz7y8kIqKCpJSdjTvz/MzWbuxhHlvLOZnPzmGeW98zUcLfiBmKurrg4TCUSKR7t+8bV5AtXPf0xrDimjMxNpktkPTdl3PYuicfdoh5OdlUFzqTmzeNk2F2VA9fHBeJodNGCJZBw8Q3d6D0V4A8d1335Gent7dSwsh2pAouFSQSa07XunYFwg3FFFSRCImkUiMUDi+ma51GprWuLG74+Di9KnjsBgGQ/Klto0QQvSUOl+IHaXN+3PD0Bmcl8kP60t49NnPKCl3k5GehAYkOW3U+UJ7FGBojVFBF24CN5bbU9AipWzjDWebzUJpZR2RqNls8/a40Xms3ViCaSqpzn2A6XSA8eSTT/Lkk08mHt9xxx385S9/aXFeTU0NRUVFnHfeeT3TQiFEQmPBJV3TCAQjRKJRdhTXEI3Gc4uHQlEi0WiL4KL5kiiNxunx9litOrkDU4lETCaOHyKDgRBC9IDGPRclZV4wbOi7dcaGoRMKRVizvoRDxhdQUVVHcWktbm8AfztJO9p5x+Y3lLqxwqRxBLFZDcKJAEfF92Wg4bRbW928PeP8yVKd+wDV6QAjGAxSW1sLxH9JfT5fi3M0TSM1NZWrr76a3//+9z3XSiEEsKvg0tffbmHpiq3EYiZ2m4VgMNLmytiOljS2xmrRMQwdfyDCEYcMlcFACCF6QNM9F/X1foIRhccbQNc1rJbG6twmgWAEu90S35dRWkt5pQd/F2oZNbVrCGici+g+i0XHaolnknI6bMRMk1jUpCAvg6MOLWyxeTst1SnVuQ9QnQ4wZs6cycyZMwHQdZ2HH364zU3eQojekZebhtvjZ9UPOxPT5F0roNdxp27okJeTTmZGEtmZKZz7o8NITXF2u81CCHEg2r22xe576OxWsNrsbN9ZjdWiUzh4QGIJ0cFj8ykqqcHj9VNeVUcoEsNsqNDdaUolbjx1JplHZ8Q3l8eXRoXDUWIxE03XsNstbW7ebqzOnZHmkk3dB5Bu7cEw217cLYToRcWlbsoqPISinVuD23JpVNusFh2rxSArI5lpJ40nNcVJUUkNbm+Awfl71GwhhDjg7b6HTtPiGZasFoMatw+ns46i4hrq/SHSU5ykjsln8bJN8ZSyDZW5Ozsf3SIN+R4GF1aLjlIQisSrhDey2Syg4oFHNBprc/O2FM878Ei+SSH6kXWbyiiv8hLrTIDRheACwOm0kjswjRGF2aSluuLZPyTThxBC9IjEHrqGVN+lFV6KimvIykgiOyuZCWPyuHPm/zD1mNE4nTZmnD8Zvz+Ezx8m2kbK8Y5o8Vy0e9RuXY+nmDWVwtDBYTcwjPiSLpvVwLDoeDwBNmwul83bIqHbWaQ2btzIQw89xNKlS3G73S1mNTRNY/PmzXvcQCFEnFKKjVsr8AfCbda3aKYhW0hHwUVWRhJmzOTQgwcDGoahS6YPIYTYA60Vz8tIcyXStkaiMTx1QaKxeCbAcDhKaaWXtz74lkXLtjBu1CCKS2upqK5DQ8PsYlE9rf2SFV39YQiFY1iMeGBk6Do2q4atYf+fxWoQjkYpyMuQ/XoioVsBxooVKzj++OOJRCKMGTOGLVu2MH78eGpqaigtLWXEiBEUFBT0dFuFOGA1bgx89pUvm2TwaKlxWryxg2+vo9d1DV3XcDlt/OTMw0lNcbJ2Yym6IZk+hBCiu9oqnqeh8PlCbN9ZTVFxDaFwFMMwME2Tg8fkUV1bz1/+/iGaplFS7uaDL76nqLgWTVfQ4aR1Q6YoaIgutJ7YchGnaegaZKYlETVNlBlD0xQOu5W0VBeZGUnkDUzj2sunyn49kdCtAOOuu+7C5XKxcOFCMjIyGDhwII888ggnn3wyzz//PLfeeitvvfVWT7dViAOSaZo8/I9P+OqbjZRXeds8r3m2qPazhWgaOO0WYiacesI4/veaU0hJdlBc6qbW4ycjzSWZPoQQootaLYaan8m7H60kFI5w/o+PoKLKS2mFh1Aoiq6b8b0N4SjbiqoIBCNoGmzeVkE0GiNmNlvt2tabJiYr9jxPVEu6Fv+5YqbJwKwUyqo8pKbYKCzIxmo1cHsDHHloIQWDZAO32KVbAcZXX33Fddddx6hRo6ipqQF2bfyeMWMG//3vf/nNb37Dv//9755rqRAHGKUU6zaW8ee/f8gHn6wiarY9yrRMRdv2EONyWLDZrNisBqNH5PDHO87FMOLpEQvyMiTLhxBCdFNrxVANQyc91cnaTR527Kzhky/XEolEcTmtxEyIRmN8t3pHYumrUhAMRYGOt0/s3vf39E0hXYtnDk1y2Rk9PIdDJwzm9Xe+wVsfwhcIMTJnICdMHi2z3aKFbgUYfr+fYcOGAWCz2QCor69PPH/00Ufz61//ugeaJ8SBRynF2g2l/H3e57z3yfd469svrNTVASYSNbHZYMK4Av46+4JEcCGEEGLP7L6RGyAYisRTztb5WfD1hniiDlNhNmSGikZNorHW99W1N3vRsu/vkR8hwWLopCQ7ME2TZJcdh8OKy2nnf04ew9KVZRw6fggzrzlFZrtFq7oVYAwaNIiysjIAkpOTSU1NZc2aNUyfPh2AkpKSHmugEAcKpRRrN5bxzMtf8u7Hq/DWBzqROaRppihob+bCbjNITXYycVwB1844kROOGdVsEBRCCLFnmm7khni/vmL1DtweP+FwhKLS2iY1jKI9tg+7p77gN+QGAeJtD0eiuJy2ZkGEbhgcfFAel58/WWa8RZu6FWBMmjSJRYsWJR6ffvrpzJkzh8GDBxOLxXj00UeZNGlSjzVSiP2dxxvguX8u4umX/0t1ja/djdzNaWhaopRSu2fm56YzdtQgfv+bcxmcl7lH7RVCCNFS/qB0xo3OY+3GEkxT4feH2LyjEm99kFgMYrF4365r0M6q107RtHjBu56cPWg6KWKxGJimIsllw2azUFQSXxI/eJALM4akMBft6tbty6uvvpr09HSCwSAADzzwAFarlRkzZnDVVVdhtVr5y1/+0qMNFWJ/ZZomjzz9CR989j0+XxilzPanupVqGAWaBhYdF9EbmJ3GUYcOk414QgjRSzRNY8b5kzloVB417nq+31CM2xPAZm2+FLW7wYVSqksFVNtva/P/6g0lM3Q9njXKZjXIyU4lGlUUl7pRKr6sq7SiTlKYiw51awbjtNNO47TTTks8HjFiBBs3buSzzz7DMAymTJlCenp6T7VRiP2WxxvgL4//h+f+uTiRG72za261TqYLMXRIctk55rBhshFPCCF6WVqqE5fDSpLLgdViYGg6/mD7e+k6oyuZAjuiaxpWq47LaaOuPoSpTOw2K6Zpous66Wkuhg/J5vAJQ/hudRE/rC/GajHQNTdHH5bH5T89RsYS0a5uF9rbXXJyMmeffXZPXU6I/Z5Siuf+uYiPv1yDMk1M0+zShr7O7Oiz2wzyB2Uw7cTx3DHzTNlzIYQQveiZlxeilKKs0su2oiqCwQimqYhG92w9VFcyBXbyiphKETMVKckO0CA/J51QOEqdL4jNauB0WHE4rBx28GA2bikjHI1hseiUVtTx/OtfM+P8yaSlSt0L0boeCzCEEF1TXOpmyfIt1HoCRGMmsS6koe3MnSOHw8rxR4/k2CNGMOOCYyW4EEKIXhYIhvl6+RZWrd2Jzx8mFms7Q1RnNZu5hj1OF2UxNAZkJOMLRhg7MpeUJAeapjGiMJsFizeQkeoiMyO58c35bnUR4UiM9DQnuQPTyM91sXZjCfPeWMwNV54kMxmiVd0OMJ5//nmeeOIJNm3alKiF0ZSmaUSj0T1qnBD7K6UUD//jE75ZuY1INNpucLG7znTmqcl2nvjTZYwbnS8pBIUQYi8wTZMvFq1nR3Ft/At5qoNAKIzqoa9CHWUK7Cy7w8qAASmkRWLk5aTjrQuiaeBy2rBaDTRI7Bmp9frZUVzNhIPysFriXxl1XWdwXjpr1pdQXOqWTFKiVd0KMH73u9/xhz/8gdzcXI477jjZbyFEF3i8AV586zu++mYzdb4gsTbvbrVcY9uZQCEl2U5qipOlK7Zz2tTxElwIIUQv83gDPPrMp6xcsxNN1/D7w9T7gkTCnc0IuLtd/X9PzFpAvK4FwOTDR/DgXeeTnGRn3htf8+5HK9A0jZ0ltZx58gRA8dGCNYmxIz3VxaHjh7BmQ2niWoahoxsatR6/BBiiVd0KMJ566ilOPfVU3nvvPSwWWWUlxO6UimfdqPX4yUhzkZebxl+f+JjySg81bh9btpURjUZRDYWWWnt9w9/QtM5nCtF1GD8mD29dgNXriuXukhBC9DKlFM+/vpgfNpRgsxnYrBZCoQihUHfrXMTHBa0xk0cPBBeaBoauYbNZOGLCkMS4cONVJxEORwkEwlx50ZREZihN0wkEwpxx8sE8/fKXWHfLghWLmZgxJalqRZu6Xcn7vPPOk+BCiFZ4vAGef31x4q5QQV4Gbm+AdRtL8Xj8hDqocdFiM18nk4VoGgwamB4/WWk4HVa5uySEEL2suNTN2g0l+Pxh/IEIDru1IciIQpdDDNWk0F3PVefWNI3UVCfjx+SRkZ7U7HhGmouMNFezseLWX53e0AbF4uVbEnU9dF3DNE2KSmokVa1oV7cihMmTJ7Np06aebosQ/V7jnay1G0vISE9CA2pq61m9rgSfP9ThZr/ubOaG+MxFSpIDq9XAWxcgKzMZu90qd5eEEKKX1Xr8aJqGpkEkGqOqug7D0Luxubv5jHZPLm91Oayce8ah/ObGM0lNaZ756epLjmvzdY11PZreNLMYMY4+YoykPRft6lZamb/85S/MmzePDz74oKfbI0S/1ngna0h+JrqmEQxG2FnqJmYqolETrQsb9DrquHUN8nJScTmtGLqO1WIQDEbIykgmKyOJ8XJ3SfQD06dPR9M0PvnkkzbPqa+v58orryQ1NZWsrCxuvvlmSSIiesUzLy/kmZcXduk1FkNn7cZSNm2tIBaLEQhFqfN1te5F7wUXAGNG5PKrK05qEVx0RlqqkxuvOolpJx7M8ZNGce1lx3DDld27ljhwdGsGY+LEiTzxxBOcddZZFBQUMHToUAyj+fo8TdP49NNPe6SRQvQXtR4/mq6h6zrhSJTNO6pwu31EYjEUreUy7z6Hw0pKkpNhgwdQWeMjHI6SnOwgJzuV8WPy5O6S2OfNnTuXQCDQ4XnXX389S5cu5eOPP8bn83HZZZeRkpLCvffeuxdaKQSJoGP3u/1KKT7675rEMlZd01AaRLtaqrvh9J7KFLW7H51yMAWDur9cVtO0xLKpTZs2ydgiOtStAGP+/PlceOGFmKaJx+Nhx44dPd0uIfqVxk3d5ZVe6n0hfP4g368txlMXwOxgoFFKNeusO+q4bVaDzIwkBg/K4PBDhuJy2igqruHqS47H0bAsSlLTin3d9u3bmT17NosWLWLw4MFtnldbW8tLL73EBx98wNFHHw3A/fffz+23387s2bNb3NwSoruUUtR6/AQCYXaW1LbbjzYGHNNOHM+/P15FSpKddZt8RCKdXxbVeMNJi2fy6IWwIq5wcBbTTjxYxgSxV3UrwPjtb3/LsGHDeOuttxg3blxPt6ldf/zjH/nb3/6G2+3m1FNP5amnniI3N3evtkGIpho3da/ZUIKmwY6d1Sz9bgt19Z0LLhr/G1/D2/EAkJOdwtnTDsXltBOLxTfbjR+bz5ETh8oAIvoF0zSZMWMG99xzDwUFBe2eu3z5cpRSnHjiiYljp5xyCtXV1WzatIkxY8b0cmvFgaCxH//wi9VomkZxuZtxo+MzwakpjkTg8eDfPyItxYGnLkggEGbdpjJQivJKb9f3cyd0MpNHF7mcVsaPyWPY4AFEo3tW7E+IrupWgLFt2zb+9Kc/7fXgYu7cudx///3MmzeP4cOHc9NNN3HhhReyYMGCvdoOIRqZpsnfnvmE5auKqKsPkJxk57CDB/PGexVEY50LLqBzQ4vF0ElNtnPcpFFUVNahG/WYMcU4WQ4l+pmHHnqI5ORkrrzyyg7PraioID09HavVmjiWnZ2deE4CDLGndk/OoWsaQ/IzWbuxhKde+i82qyUeeKDhD4YJBMM47DZ8/iAff7mG0nIP/mC4nZpGLd6weSzSO/EFeTnpTDpsGBWVdZLwQ+x13QowRo4cSX19fU+3pUOPPvooM2fO5LzzzgPg2WefZcSIEaxYsYJDDz10r7dHHNg83gB/efxDXnlrCZFojHA0hsWIZ3HStfbzJ7TYi9FBcGAYGna7hUG56dz2q2noup6osSHLoUR/snbtWv7617+ybNmyTp3f2r6l9n7f58yZw5w5cxKPvV5vn2U9rKqq6pP33VP9sd170uayyjqWfrueQQNT2VnsB8DjcZPsULz1/jIGDUzB0E0qquqprPYRiZnYLDqGoRMMhnB7A63WM2pNq/vwerj/djoMsjKSyMpwsHlrCSMLswj4qti0qbpHrn+g/X70lX29zSNHjmz3+W4FGHfeeSe33XYbV1555V5bnhQKhVi5ciV/+ctfEseGDx9OYWEhS5YskQBD7FVKKZ775yI++Px7vL5gYnCJRk1Wry9pd7DpTipam8WgYFAGPz5tIoPzMxP1NYTob5YsWUJZWRlDhgxpdnzatGlcdNFFvPTSS82O5+Tk4Ha7iUQiiVmMiooKAAYOHNji+rNmzWLWrFmJxwUFBR0OhL2pL997T/THdne3zYFIMampqQwYkEVSqQ+Ahd/sIBKJETNNhuQPZPHyLQSCMXRDx4xECYRMlII6X1feqWvBcnfY7RbSU5NA0wlHSKST7emMTwfS70df6o9tbtStAGP9+vUMHDiQMWPGcO6557aZRep3v/tdjzQSoLq6GtM0Wwwo2dnZicFGiL2luNTN8pXbqKiqaxFMdCVRVGcGlySXjaMmDuWEyWO44oJjZbZC9GvTp0/nyCOPbHZswoQJPPnkk5xxxhktzj/88MPRNI0FCxZw6qmnAvDZZ5+RlZXVrwdfse/ISHNhmgrTbL7EqbTcjaZpxJSi3hfCajUIe6OYPbCdoTf6ccPQOO+MieQMTEeZJCpzy5gh+kK3Aoy777478fd58+a1ek5PBxhdTe/ZE9Pk+/r01L7mQPq8NmypZGtRBcFQpJOvUA1VWeMdfWc7/AEZLgoLMjj7tDFMPnwIFeXFVJR3s9H91IH0e7Wn9vZn1Z0v+Onp6aSnp7c4XlhYSEFBAcXFxZxyyinMmzePSZMmkZmZySWXXMLMmTOZO3cuPp+P//u//+O6666TDFKiR+QPSmfc6LxEtWpNg1A42rAUysDvC+MLhAiFIkS6s1k6UZJbA1SvfOG3WXWGDh6Atz6Mu66cqceMlllu0ae6FWBs3bq1p9vRoQEDBqDreovZisrKyl6dJpc7ZF1zoHxedmcmte4POjlb0bSAUucHF5vVYNjQgQzNz+Tk4w8/oAeLA+X3qif0988qEomwfv16/H5/4tjjjz/ODTfcwKmnnorFYuHyyy/nrrvu6sNWiv3Js698ha7BQaPyePql/1LnC+EPxDdtx2ImH3+5hkAgTFdLW0CTVLQNQUaPL4myGWiahtViIS8nndEjcvhi0Xrc3o7rywjRm7oVYAwdOrSn29Ehu93OxIkT+fzzzznllFOAeKCzbdu2RG50IXpTY62LWo+fqpo6guGOKwm3nHnreHDRNLBaDHIHppKfk874sflSkVvs15r+OyksLGzx7yY5OZnnnnuO5557bi+3TBwonA4bV150LC+8sYiK6rpERiilwOcPd+uaPVlYtZGmQWqKk2AoQiQcw2ox0HQdu81g4rgCLBaD0SNymHbi+B5/byG6olsBRl+54YYbmDlzJkcccQTDhw/n5ptv5vjjj5cN3qLXNat1ASxduZVIJNbua1qkoe3EnSuH3Uqyy0b2gBRGD89h4sGDJQWtEEL0kqdf+pJPF65j3KhBfLNiG1t3xDMtaVrX9tPtrjv9f2ckuewMH5KNp85PZXUdQ/IyyUhLwm63YLdbicVMzJiStLSiz3UqwLjqqqvQNI2nnnoKwzC46qqrOnyNpmk888wze9zA3dtRXl7Oddddlyi0949//KNH30OI3TXNkV5W6WHr9ipq3D5C7ey/6M7gkpbq5O5ZZzF21CDsdguZaUmyQU8IIfZQY9XtRcs2xx/PmQGA2+PnP1/8wJoNJRSV1PD2h98lXrOvBReNAY+uQSgcIS8nHZfDxtCCLALBSHwzekPh1XFj8mTWW/S5TgUYzz33HJqm8fe//x3DMDo1Td0bAQbEq4j/9re/7fHrCtGWnaW1LF+5jSSXjdVri/H5Q13b6NeZTFFOG4cdPJiTpow9oPdaCCFET1JKJapw+wNhnI54qmO3x88vf/0iK38oIhyJ4vOHeqfa9R4EF7pOImNVY8yiGzqZ6S4GZCYz5aiR2G0W3v14JZqmUVRcI4VXxT6jUwHG7qnbdn8sxP7K4w3w9+e+YOHSjQRDEULhjpdFaQ0b+Rr/3hGrRScj3cWh44fIXSchhOghjz37GUu+3UpZpQeA0govLoeVNetLeOO9b/l21XZAYbHo+P0RorH2+/f2KKUSsxVd6f/bv2h8xsIw9MRNrUAggtsTYMpRo3A6bDjsFqadeDCBQFjS0op9Sr/agyHE3qSU4qkXF/D5ovXU+0LEOkgh0jgt3jTI6IiuQWZ6MmNHDeLGq06SgUEIIXqAUqohuPCSnOygtMxNrdtHtVL84vYXiESi1PvjRVJtVguRaKzbkw2Jvp9daTx6qi83FRBTiWxRLqeNgdkpOOwWHHYLmqaRkeYiI80ls99in6J350WGYfDyyy+3+fxrr70m+clFv7eztJb3P11NdW1dB8GF6lK2EItFw+kwyMtJ47hJI7n43KN48k+XkZYqm/KEEKIn7CypZUdxDYahsWNnNXX1QXRdw2rR8QVClFV6iUZMolEzsZ+uO/sueiNTFMRvPjns8eVcVqtBbnYqSS47NpuF/Jx01mwoTaSivfqS47j6kuN6pR1CdFe3ZjA6+gfVW//ghOhNTdPQpqc5Wbh0E8VlburqQ+2+Znft3bmy2y38+f9+gssWYcTwYWSmy0ZuIYToSR5vgL/PW0BJhRuLYVBXH8BhtxAzTZSpcLv9hEJRGnvvjman27J7/98T/Xi8FF985sJiMbBaYhiGhqkgJdmBy2HD5bITjsYIBMKSLUrss3plidTmzZtJSUnpjUsL0Ssa09D+sL6YuvoA6zeXU+8LUuP2t/Oq3QcX6KjOxWHjB3Px9Els2bKFkSML9rjdQgghdmnM+ldcWovNYmAYOtFoDE84mpihiETbvmnUlfdpqqduEum6hm5oKAXJLjvRaAxN04jGTCKRGEMLskhy2qip9eF02nrkPYXoDZ0OMF577TVee+21xOOHH36YN954o8V5NTU1LF68mJNOOqlnWihEL2sckFau2cGKH4ooKXVjKhKFltrWeK+pc8FF3sAU/v6ny9D1bq1MFEII0YHiUjdrN5QwdmQO6zeX4fb4icZ6p+BdY4zRkzPQSUl2NOKzKgX5GXjqA0QiMSLhKOlpLg4em0dRaS3jxuThbFhCJcS+qNMBxrp163j77beB+D+mZcuWsWzZshbnJScnM3XqVB577LEea6QQvam41M2a9cVUVHopKXV3MgVtfDtfY7aQjoKLzHQXX/zrNjIzZGZPCCF6S63Hj6Zr6IZBTnYqFVV1PfsGSjXcUdLQtI77/tY0DU50XcNsWKKV5LKROyAVT12AlGQnU44cgbcuSCAYJslpx+GwUlFZl0hF+/q7y3vu5xKih3U6wJg9ezazZ88GQNd1XnzxRS655JJea5gQe0utx08gGGHD5nJiHd3pUiqxMKrxplVHd6+SXTZefOwaCS6EEKKXZaS5ME2FGYtRXulF05rONe8JtWsTeCIFbfdmLhrbo2ngdFgIhqI47DaGD8kCTcPwh0hy2dhZ6mbYkAEcfegwguGopKIV/Uq39mBs3bqV7Ozsnm6LEH0iPdVJSbkHT10Qs50EBS2qs3aC027lyoumcNShhXvWSCGEEC00VumeOikXgPxB6Ywbncfylduoqw/ictrw1AXR9fisQXdz0DR93Z58t9c1cDpt+AMRlFK4nHaOOWIEo4fnYrMYXHHRsbz69jcEg5F2g4mmBQR3ltRK0CH2Od0KMIYOHdriWCgU4tVXX6Wmpobzzjuv1XOE2Ne4PX7mvrqQDVvKiLa352L3UalTBfQMJh1eyE0/P1U6fiGE2As0TWPG+ZMpq/CwaPlm7FYLNquBGTPBgGi06xFGy2yBnevPbRadSMxEqV1VuQ3DYMzwHDZurSAQinDjVadw7eUnNNubl5meBNBmXYvGpCQffrEaTdMoLnczbnR82VRaqrPLP58QvaFbu02vv/56JkyYkHislOKkk07iqquu4pZbbmHixImsXbu2xxopRG9we/xcPet5nn1tET5/uM3zVJNlUdC5DX1Oh4WrL5nCs3OukPoWQgixF6WlOvnV5VOx26yEwhFyBqSQkurE7Mz2ut10N1uUpkFKigub1UDXNVDxsMRi0bFaLbicNjLTnJx12iEtEn+0V9eiMSnJ2o0lZKQnkZmexJD8TNZuLGHeG4ulTIDYZ3QrwPjkk08444wzEo/nz5/P119/ze9//3vef/99XC4Xf/jDH3qskUL0JKUURSU1/N+f3mLZyq3U+zqfsrC9wUXXwNA10lIdzHvkKu67fboEF0II0QcK8jLISHMSjSk0XWNUYTZJe5DWVdO6li3q3DMOxW4zGmpsNGwM10DXNDxePwOzUzln2rguV99uzJI1JD8TvaE9hqEzOC+TNetLKC51d+l6QvSWbi2RKi0tZcSIEYnH//73vxkzZgy/+c1vALj22mt59tlne6aFQvSgxqnlxcs3s/Dr9QRCsXbO3pUpqiPZWcnYbRaSXHam/+gwTpwyVpZFCSFEH3jm5YX4AyEy05PYUVxDeWUdJWXuTqerVUolUo93px/XdZh0+DCqa33UevxAfIlWOBpLLMX90UkHc/pxg7t8/USWrN1mPQxDRzc0aj3+LgctQvSGblfybvrL/fnnn/OjH/0o8Xjw4MGUl5fveeuE6CFKKXaW1vL43M9ZvaGY79fubDu4aLYkSnU4AGga5OWkUzAogyMnDmXGBcdKcCGEEL2s6UbnssokvljyJYuWbcZbF2DrjircXj/xPrzz1boblxglstF2g8XQWbBoA9kDUsjLTcfnC2G3WSit8OCwWxhROBCnw0qSq+szKoksWbut94rFTMyYksreYp/RrQCjsLCQxYsX84tf/ILVq1ezdetWTjnllMTzJSUlpKam9lgjhdgTjbMWL7/5NZt3VLabRaSr620NA5KcDs4+fSI/+Z8jJJOHEELsBbtvdF63qYhoVOe7NUXU1QWImQpD1zAMg3CTKt7taZYpcI+6cY26+hAFeRn4/CEcDiuappGXm47LYWNQbhprNpRy2LhMRo3q2pUbs2St3ViCaSp0XSMWMykqqWHcmDzyB6XvScOF6DHdCjCuuOIKbrvtNiorK/nhhx/Izc1l2rRpieeXLl3K2LFje6yRQnSXaZr87ZlPWbZia4fBxe6Z0jszwAzISMZqtXLsUSNlWloIIfYCpRQ33PEyZZVeMtKT0DWNjDQL7368AX8wlOjnTVN1snAqu3LYNiyN6m6NC0PXSEqy46kLEApH0dSuZVaapqHpEAnH0A0Nb12wy9dvzJL1/OuLefejFWiaRlFxTaL4ntzgEvuKbgUYs2bNwufzMX/+fIYPH84DDzyAyxWflquurmbx4sXceuutPdpQITrLNE2WrdrOkuVb+OqbzXy9fAv+QKjD4KLx+fj40nEnnZHmxG63MnpELkccMqQHWi6EEKIjO0tq2VFcg8tlIxyKUlJey5Jv6wmEwt2qc5GYudC0Tvf/rTF0jYK8dI49cgRffbOFSCSKQjXs6dDiGQlNsNoM/IEwqSmObr1PWqqTG686ibAU3xP7sG4FGJqmcdddd3HXXXe1eC4rK4vy8nIikcgeN06IzlJKxbNrbCzhz4//hw2bygmGI7RX2qI5DY2md6/aZxgadruN0SNyefCu81tsuBNCCLFnGovoNU3Z6vEG+Pu8BZRUuHFYrZjKxOMNEInGUJ3cZ7G7xi//3QkuNEA3NHRN45CDCjhpyhg0TSM9rYzK6nqSXHZ8/hB2u4VQKMrgvEw8ngDjxuSRMyC5W+1tbHNGmouMNJfMnot9Uqe/FQ0fPpx33nkn8djn8/GLX/yC9evXtzj35ZdfxumUYi9i7/B4Azz67Of87i9v8/PbXmDFD8X4gp0MLlRDCkFoGFg6HlxsNgtnnz6RZ+fM4OX/dw0Fg6RzF0KI3tZYA6K4tBabxcBqMwgEwwTDUWKmohsl9BJ/0+J5aLv06uFDs8gflE7h4AEMGzKAjPQkNF0nZiqGDxnA+DH5uFw2dF3HWxfEMHSyMpJkOZM4IHR6BmPbtm3U19cnHgeDQZ5++mkuuugixowZ0yuNE6IjjQPOmg3FfLtqB/5AuAuFhhoGpC5kC3E6rAzNz2TWL0/noFGDutlqIYQQ7WmaIWpnSS35g9IpLnXz7kcrSU9zEjNNyiq96PHyEl0KLppt5u7KALCbuvoQSS4bkUiMnIYbTY0brieOH8z1V5yI02HD7w8RiZlYLTpXXXRcYjlThSTbFPuxbi2REmJf0Vh0KCPNRV19ELPTU+RN9lx0YmyxWrWGiqlZDBs8gGhnNw4KIYTokt0zRBWXuxk3Oo8jDxlCOBLF5wsRCkeJRqJYbZZuBxdAd/dy47BbMWMmuqbz/9u78/ioqvPx4597Z0sm+wrZSNiRRRRUFERAqWite1VUFLHW3YqotfbbVkVr6VdFbf22ilrQqrTaatVWfoqKCEVUUJAdAgSykm0yWWafe35/DBkJ2SHJJPC8X6+0zJ07d545Tu7Nc885z4m2m6ly1OPx2ppMuNZ1nftuO/fI3kCIPk4SDNGnOZwu0KCsohavL9Du/s3L0EJbVxiTKdRrkZocT//0BJxOFw0un9QaF0KIbtDYK71tVwlJiTEUlzqodjTw3ZZCPl21jaLSagIB42BvdQsJQ9sHb/LwaIYo+f0BPCaIMYIM6p/G0EH9sJpNMuFaiIMkwRB9msmks21nKSXlTvyBtlblbq695CLKZsJkMmExm0IXCwUuj4/szCSpNS6EEN2gsVd6QHYy1Y4G/P4g9S4P+QUHcNa6AWhw+cL7+3wdPe83naNxtAmApoHfb1BT42bU8Ex+NfcCSSqEOIQkGKLPUkrx8edb8QeDNDR4MOsavnaGSDWO1W3vQhAdbWL08Bwqq+twu/3Yo6w4a13Ex0Uz6/LT5UIihBDdwOF0oekafn+QfUVVVFTXU9fgoa7eg65rnUgoDvf9TI2uOH+HFrkDe7SVH18wLiLXhEOrawnR23Qqwfjwww+prKwEQlWkNE3j7bffZvPmzU32W7duXddFKEQrikodrNtYQHJCDPnBcoLBVpKLQydbNNY5b4WuQb+0eM6dOooGl5dYuw2/P0jegFQcNQ2MH5vLiCH9u/yzCCGEgKQEO4Zh8O3mQuobvFjMOhazCQCX+wjK3x+yeF5XJgEmk06/tHhOHZtLoLVrjxDHsU4lGH/961/561//2mTbn/70pxb3lTu8orsopdi+q4z//dOHrPpyF26Pv/Xkgu+ri2ihvos2j52YYCc1JY6fzDyTj1dvZ9vOEnSThtfr55ST8qS0oBBCdKOsjESy+yfx1bcFobUjfAHqXd4OzbE7XOP8DK39U38TJpMWvqZYLDooha6biIux4ah1kZoUR05mEujg9QVJTJCy/EIcrsMJxooVK7ozDiE6xFnr5pU31/Di66uormnA5w+0uXJr0wmAbV9hLGaNnKxkBuemETQUd904jeLSGhxOF0kJdpm4J4QQXailhfQ0TeOcySfw6X+3c6Cilro6d6fLyDavFNXZ1zf9t6bp2KOtBA2F1WImaAQpLKnGHwji9QZ4+4NvueHKiSTES6IhRKMOJxhTpkzpzjiEaFdjdZH13+3D5fYSCAbbSC5Uk8Lo7SUGmgapKfGcelIeTqebpAQ7mqaRnZkkq6QK0YUWLFjAkiVL2L9/P9HR0UyaNIknn3ySYcOGtbj/1KlTWblyZZNtTz/9NHPnzu2BaEV3aWmdi8bzdE5mMkMH9cNsNlFRXY8yjDZvJB125CaPjuSmkNmkE2U34Q8odF3D4/Hj9vgYf2Iu320rxuXyExcXRXJiLGdNGMr2/FJe/ccX3DlnmtyEEuIgmeQt+ozi0hq+21pIYUk1tfWeNpOLxmG3HUksTLqGoSAl0Y7T6Wbk8EypEiVENxk8eDDPPfccgwcPpra2locffpgLLriAXbt2tfqauXPn8sADD4Qfx8fH90Soopu0ts7F7CvOICE+mqyMRAbnpvP5Fzs7sbZRiOrEjaXDmUwaJl0nNiaKYDBIdJROjN1GMGigaRozLz6V3fsqsVp0BmSmYLOZsdtt5NgsbN1RQnFpjdyQEuIgSTBEn1HtbGDPvgoKS6rbuZuloXVw0K3FYsIwFFaziYx+ieEFkuQulBDd44orrmjyeP78+Zx44okcOHCAfv36tfiamJgY+veX4grHgtbWuXj/o418vWEvr/7hRgC8Pt8RTerWtEPmdbezD4DFrBMMGlitFsaNyeG7bUXouoahQpPCczKTMQxFaXkNDS4fZ50+lNzsFL7dtD98PJNJRzdpOJwuSTCEOEgSDNHrKaUoKnGw+st8ikodeL2tXHQOqRbSXnKhaRBts5CeGo/JpDF5wlDu/ul0sjOSJLkQooe43W6WLFnC8OHDSUtLa3W/RYsW8fzzz5Odnc11113H3LlzMZlMPRipOFovv7GaNet2c8LQDHYXlDMgOxlHjQsAXddISrBTVu6kuLQGheKTVdsxWzRwd/QdGm8qaW1OuTg0udA10HWd1ORYlIIBWcls3VGKfki1QcNQOOvcxMdFc+LIbNZ9tw/DMJocMxg0MIJKFmAV4hCSYIhezVnr5vlXV/LeRxs4UFFLTW3LV5twtZAOHNNs0khMsDNyWCZxMVGMH5vLDVdOJD5OJugJ0RP+/e9/M3PmTFwuF8OGDWPZsmXout7ivrNmzWLQoEGkpaWxdu1aHnjgAWpqanj00Ud7OGrRFdxuH5quoes6Sin8/iC1dW4MQ+Fy+9ieX0Z9g4f8ggo8rd1MOpxhhJbR0/QWbxBp2vfXBv3gkFhNA4vZhN8fpKrGRWpSLP6AwdjROVRU1VFYUo0WVDhrXZgtJn54zhhOGZvL2m/2sm1XycF1MDSCQYPCkmoZWivEYSTBEL2GUqpJ1abM/gk8/+pKXv3HF9TUNOD1t7zAUtPkouWLS6zdhj8QJCnRzq/nXsjp4wfirPVIdSghImDatGls2LCBsrIynnrqKa6++mpWrVqFxWJptu9NN90U/veYMWMwmUzcfffdzJ8/v8Xf24ULF7Jw4cLw49raWvLz87vng7Sjcd2ovqar41ZKkb9nPwX7D+Dzumhw+9i9p4Q9hdV4fUHKKpwEAgaaBn94aRnVNW68vo4nFwagH1znqOX3P6RcuVLoWijJ8PoCoQndVhPjR/fnuktHY4+y8K+PtvDWv50YCtJToxk9vB8/mJjNnj17mDy+H1VVlWzeVoimgdkUZEheCpPH92P37t2dahf5fvQcibnrDRkypM3nJcEQvULjpL+tO0tCd5gMRWa/BJZ9uhmX20fQ6EBy0crFJcpmITHeTkyMlSsvPIUrLhwf+sMkq5s+jBCiTTExMQwZMoQhQ4Zw2mmnkZSUxLJly7jooovafe348eOpr6+nsrKyxWFV8+bNY968eeHH2dnZ7V4Iu1Mk3/todFXczlo3L/z1c/7z6U4cThc791aGkgEUhlL4fEF0XSMQNNB1HY8XisrqOlA1SqGUQsNA1010pP9a0yDGbsPl8WMEQwmNxWJG1zWqnX7GjBpBQnw0J580ivj4JNxuH3NmTmp2E+qksSOJi1ve6vOdcbx/P3qSxNyzJMEQEXfopL/qmgZ0TePEkdl89c0eikodBIJBAi3lFx1ILhrH29qiLFx83snccNUk6a0QopdRSmE2d+xytHHjRmJiYkhNTe3mqMTRUkqx5M01LFuxiaBhEGUzEwwaeP0BvN7vT+qK0ETpYMBg0/ZiomzNe7JaOjYAesf/jFEKfP4g6mBlKl3TSIyPJj4umsQEe5NSs/fddm6rx2nveSEEtDzoVYgeVFxaw7adJQzISj54Zwv8gSDlVXW4PX78fqPlF2oHJ/O1kVwkxUczfkwOf3h0Jvfdeq7MsxAiwh544AG++OIL9u3bx1dffcXMmTNJTU1l0qRJFBcXM2LECL766isAdu/ezW9/+1u++eYb9u7dy9/+9jfuu+8+7rjjDrlR0AcUl9bwzXf7CASCWK1mPN4ADS4f/sOGu2paaDK1AoKNEyTaERoR1fE/YRrnYeiaHnoPQKGodjTg9foZkJ0cLjUrhDh60oMhIs7hdIUn/QEYhsF/v9rFnv0Vrbzi0BK0rV+IbFYzY0cP4KzTh3HqSXnyB4kQvcD+/fu54oorqKioIC0tjcmTJ/PJJ5+QkJCAw+Fgx44duFyh6kJWq5UPP/yQJ598Eo/HQ15eHvfee2+TIVCi93I4XfgCQRwOF7X1bgKBYDiROFQw+P0Ww1DU1XtaOeKh5/6OJxe6Fnql2axz6FQNk8lEdLQVq9XM1p2l9EuLk1KzQnQRSTBERCml8Hj9VDsaSIiLwucPsHdfJSUHasJ3mQ7dt1F761xYLSZyspI4a8JQWddCiF5k6dKlrT6Xl5fX5Pc8JyeHzz//vCfCEt0gKcGOxWwiYAQJBEM90Z1bNq9RaPFUlELTFZ0dfNF4tYixW9E1DY9Xw2w2ERVlJiE+mqSEGMoraom126TUrBBdRBIM0eMaq0UVllTz8aqtLF+5jYqqOrbsLKbB5cPt9jVLLmiSXLSdLMTYrYwansmTv7mCE4ZmSHIhhBA97OU3VqOUYtyYAaxdv5ugYYSHwHZW4+k/dC7XsJg00PVmQ63aYjKbSEyIwVnrxmYzo+s6Jv1gWVsNXB4f2ZlJUmpWiC4iCYboUY3VorbsKGbbrhIKS2rw+wPYrGYctV4CgZbub33fpd5WshCqEGLl/GljWPA/l5EQL3eihBAiUjxeP35/AJOmYxiKYPuloQ6jmlaTOnj+V2jERFlwKYU/0MocvYPs0RYuOncs320twm63YY+y4PH6qa334vUFcHt8OJ0u4uOimXX56XJDSoguIgmG6DGN1aK27ixm154D7NpTTiBgoACPN9DG60L/315yMfGUQSTE2fnlz34oyYUQQkSQUoovv9lLbKyNUSdksnFLEXX1nvBQqY4d4/t/N57/tVDnBZqmkZYSS2l5bbOStlaLdnCld42s/onkZKVQXlmPo6aBH0wZRcmBGiqr6tlXVEVKcizpKXGcMjaXEUP6d8EnF0KAJBiihyilWLdxH59/sYN6l4ft+WXt3nlq1F5iYTbr5GQmkxgfwykn5ckEPSGEiJDGoVH//ngTu/aUcdGMk6h2NJCSFIPP7yfoNjqwxkWIpmmhtS4OuQaog0WmEuKjsZh1TCadwGHXkmAQbNbQBG6lQj0p48fmsr+4iumTT+Drjft4f+8GEhPs5GWnMHJ4pszVE6KLSYIhup2z1s0rb67hk9Xb+W5rIUFD4Wt37Gzbk7i1g3ugQNc1Gtw+Ro2Qi4QQQkTKS6+v4sPPNuPzBdm+uwyXy8f7H20kEDQYOSyDfqnxfLNlP253W6t0NyYLoYncLZ3PgwbYoyxUO91YzCYMQ6HrGiZdxzAMLGYTyUkxaJpGfYOX77YWMW7MAIygIiczmdPHD8LnC3TJQnlCiJZJgiG6lVKKRa+t5INPN5O/9wAeTwCTue0KIOHVuQ+rFGUyaUTZzPh8QWxWM1FRFjQ0sjOTSEuJI8pmIS42qjs/jhBCiMO8/MZqXG4vK7/YyZp1u9H1UDnYQDBIXYMHr8/Ppq3FWK2mcBkpk661WMwjtAyG1malwGBQUe10MWZEFg1uH9vzy4iymkiMjyE+PootO0pxuXzExNiIirJQXlHLzt0HOOWkvHAykZRgJynBLj3eQnQTSTBEtyoqdfDBJ5sJBINYzGa8WqCNfonvJ/Rph/xvI5vFQkJ8NPX1Hn4wZRRFJQ4sZhOnnzIIw1Bs21lKcWmNXDCEEKKHvPzGaj5bs509+yoprXDi8wfRtGD4XO4P+ABw1LrQte97JIwWxkkpGpMLaKsHW9ehts5DUVkNWf0SSU+Jw2bRCBgaJt1ETLQVq8WMx+MHLXTTKjszqUkP90+uObMrm0EIcRhJMES32pF/gNo6NynJsRhGaEL34TetQg5LLg7rrrZaTSQl2RkxuD/5BeXE2m3h3gpN0zCZNHSTJoskCSFEN3j5jdVA0z/MlVJUO+rZuKWImjo3Pr//4PaWj2EoMOsaZhMEgofupA72XLefXEBoMT6AohIHE04aiKZpVDuc+L2KoGGgaRoDspJB0/D5A6SnxHHr9VOIj4s+wk8vhOgsSTBEt1FKsb+kiqqaBsoqnXi9oXkXwRaqiHxfKQpaurgow8AeZSUtNZZde8uxWpt+dYNBAyOoZJEkIYToYkopHE4XbrePohIHWRmJ1NZ5WPTaSha/uYaKyroOL6AXDBropkPO8So06VvTQ2tcdJTVYkIpWLNuN9kZSdisZux2G/uLq4ixh4ZGjR2VQ2FJNSOHZZKdITeehOhJkmCILmcYBiu/2MXSf33Juo378Hr9zcfaHibUbd36mFvdZKJfahwBv8GwQf2ocbrCE/uCQSN0ERmeKYskCSFEF2pcu+i1f64FoPhADScMzcDr9bNsxWYCgSCaDqqD1WcVoTkUYZp+eId1hw4SFWUhPjYak65RXlmHUgGGDU4mymamvLIWh9NFYXG1VIgSIkIkwRBdQilFWUUde4u38se/fMJXGwowDIU6mAQYrSYYhyYVrV8ArJbQ3alRI7K49LyTeHvZBt7/aAOapslFRAghukHj2kXbdpVgj7aEhx59890+du+rQAOio6xU17iO5OgH/7/z52xdhxi7jcz+iaSnxhJrjybodzPvth+R2T+BhS98LBWihIgwSTDEUWu8w7V23Ta+215OjdMd6l3QQLVUKeSg76tFtX5sXdcYPCCNgbmp3DjzTM6ZPAJN07jrxmlcdv7JOJwukhLschERQoguVlxaw/sfbSQxIZpAwCBoGDS4vCQm2HE63cTG2dCP5LSr1PfpxRG83mq1kJ2RxOjhmZRX1nH3TefgcVWF59/dd9u5RxCUEKIrSYIhjsqhd7iKS2upcbqIsVvxOPy03mOuQLU+36KRrmtER1lISYkhPjaKEUP6H7Kaa6g8rUzoFkKI7uFwuggaBoXF1RSX1QDw+dpdxMXaQFP4/UF8HVwwNawTcy4sZp1AsOnCfGaTxogh/Rl/Yi5FpY7w0Njdu6s6F4cQolu1vSCBEO0oLq1h284SBmQl4/UFUApcrtYXUVLqYLWodpILm9VMRnoCw4f0p6TMSXZmksyvEEKIHpQQF0VZuZNqZwOBYJCgYZAQF01tnQdDKaxWE7W1HR8epZQRWpm7Q8mFiRi7lfTkOGxWE/YoC/YoC9FRViBUQWrkMBkaK0RvJT0Y4qg4nC40XcPnD1LX4MXvD7ZY3/xQoQWUmua2VqsJvz+IxWLCZrVgs5pIiI/C4/aTlGBn+uQT5CIihBA9JDT0dQ119R4MQx2cR6docHsBRUpSLKOGZbCnoKJjB2wsQ6u3f1/TajGR0S8ei8lMWWUtPn8QsxlGDO5PfFw0Y4ZncuvsqTI0VoheTBIMcUSUUjz1/HIOVNRSV++hpMxBIGh0ILn4/s5V43XBYjZhs5jR0IiNsTEkLx2z2cSQvDQsVhM1TjfZGcnd/ImEEELA90Nft+4sJcZupb7BGx6mtD2/jKx+CYwekUXQUNijbdTWe9o/qKahQWhunqLVsrYaYDLpeL0B+mUnUu/yEgwEyeiXyA/OOoEVa3ayr6RakgshejlJMESnNU7q/vCzzWho1Lu8lJXXoAhN7G42p1upZjP5LGadhLhooqMtJCfGMigvjeJSB2XltQwblE7/fonh8rOjpPysEEL0mAOV9WzbWUJeTipr1u1utnZRbZ2HHbsPAOAPBNs4kgKlMJtNKDSirBasVhMOZ+vDqkxmnUAgiNsXICE+ipHDM9m8vRiLxYTJbGLapOGhOSGlNTIHT4heTOZgiE45dFJ3YoIdi8VEIBAaHlVX72uWXITG3AaAUI5h0jWsFhNWm5lhg/sxKDedtJQ4huSlc8rYPBLioqmucbG/uCpUflbG2AohRI+qrfOg6aFVtf3+YJMy42aTjtcfpKqmAVBtliBXxsGCHrpGYnw0115+GkMGpqO3cT63mE3YbBYS46OxWs2MGzOAWLsNj9dPbZ0bXdfQTVqbSYoQIvKkB0N0SuOk7n5pcXzz3T4KSxzNqnyYTFpoISXDAA003YJG6MJkMunE2m3kZieTlhLH4Lx0TCadYNCgoqqOS394MpeefzI1TreUnxVCiAiIj4vCMBQVVfVomobFYsI4WMQjaCgS46MwjCCFJQ6CwZZ6MBRGwA267eBw13Qy0hNIiLeTnhoHWuh6EGihApWmQXpKHEMHpVNf7+XLb/ZQUV0PhCpYpSbHkJwYQ1KCvZtbQQhxNPpMD8aLL77IxIkTSUhIIC0tjcsvv5w9e/ZEOqzjjsPpQtM0vttWTFVNA4GA0ewOlhFUKMMPhLrGrRYTVquZGLuN+NhoThiWQXZGMg0uH/uLqpr0Vtxw5URyMpMZc0IW2ZlJklwIIUQP65cay8hhmVRU1QMKm9UcHumalhRLZv946l0+vL5As/N/Y6VAXbdi0k2kpsSTGG9H10M3kpy1bqyWUIUoi9mEpoVKz0Jo/kVOZjLnnz2aWLuNQCDIvqJqzKZQz3dcXBT7iqppcPvI7J/Q8w0jhOiwPtODsXLlSmbPns0ZZ5wBwIMPPsj555/P5s2bsVgsEY7u+JGUYMdR62LbzlKcTneLE/UUCk0PTdxOToqjrsFDv5Q46l1e4mKjOXn0AMxmE/uLq/nJ1WcSZbNIb4UQQvQSmqYx+4ozcNY2sH5jAV5vIDyNLiUlhv3FDny+IJoGuq5jhHsiQnMuNB3QQn9eBINB9u6vID0tgcLiasafmEv+3nLqXV7MZg2zyQyaRiDox2zROXPCEMqr6sjJSiYQNNB1nQ1bCiEYpL7OQ252CrF2W7h8uRCid+ozCcZrr73W5PFLL71EZmYm27Zt48QTT4xQVMcHpRTFpTU4nC4S4qOocbqod3laTC40QKFhNpmIj4vm1JNyQ9VA+iWwZ28FNpsZmy2UEJpMGlE2C2NOyOrRzyOEEKJlL7+xmoqKCtLSyuiflsDYUdl8t7U43IOxu6CCYMAgKclOdXXDYSt5a6Hk4mClQAXExNjwuP1E28z88mc/JCsjkS07SvhqQwE+XwCr1Uz0wWtCYrwdZ62HUcMzOXVsLq/+Yy2njxtIcamDoGEw+fShxMdGsb+kGofTJQmGEL1Yn0kwDldZWQlAcrKUL+1OjRWj3v9oA5qm0T8tnvJKZwtjZ9XB/9XQD07kHj4kg2BQUVLuZPSITEpKa8J7B4MGRlDJOFohhOilNE3jrNOH0+DyhqtGJSfG4Kx1YTk4p87vD6CUgaY1jrhu2gtd43QRDBoUFFcDoR6PM08bgtkc6plQhmL8ibm43D6GD8ngtuunkJWRSHFpTWj9DaUYlJsGQHxctFw7hOgj+mSCoZTiV7/6FTNmzCA7OzvS4RyzwhWjdpYQHWXF6/OzZ38l+4sdNF3uwjh4dyt0YTEMRVJiDOPGDMBk0tlfXM32/AMYhkLXtXD52ZFSflYIIXoNpRQOp4sDlXU0eHXcbh8VVXVMP+sEGlw+gobBqSfl8dmaHVRWNxAIBAgEg4B2cAHV5kNczSYTZpMJryfA9t1l5GQlEx1lZeoZwzlp1ADcbh9zZk7i/63YjKZp4V6JrIxERg7LZNuuErl2CNEHRTzBuPXWW3nhhRdafX7KlCl89tlnTbbde++9bNq0if/+97+tvm7hwoUsXLgw/Li2tpb8/PxOxdbYS3K8Kquo479fbsNZ52brrnJ8viAK1TS5UAaKxmUuNHTAbNHRNUVDfS1oGv1To4m1hy4Ouqaxdcc+huSlMHl8P3bv3h2RzxZpx/t3qzOkrTqup9tqyJAhPfp+ovs09la/+tYaauvdWMxmzCYdm81MXYMHXdcwm818u7kQj9ePzx/ACHjQUGgmGy0lFxBKWqKirNTUuqiqbghv1zSN+247N/z4pmsnN3ld4zyQQ3vQC4tDyYWULhei94t4grFgwQJ+9atftfq8zWZr8viXv/wlb775JqtWrSIjI6PV182bN4958+aFH2dnZx/RxfB4voC6/EVUODx4vaFKIYHg4cOiAij0Jqtz26JCE7b9AYXZaifGbiOx3uAXd/0QTQvVLpcJ3SHH83ers6StOk7aSnRWeOXuHcW4PD4CAQOTHqTB5wcNyivrAI205Dh276/AhB8jGAA0NFNUm8f2ev1omobVbCYlKaZTcSXER3PXjdPw+QLhng65dgjRN0Q8wUhMTCQxMbFD+z7yyCO89NJLrFy5koEDB3ZvYAKvN4CjpgHDMPD5As13MHQ0PTTuVtdCK7DGxUaRk5VMfYMHl8tLdU0DI4dnhkvOyqQ8IYSIrJffWA3AT645Ewitb7Rxy35KDjipb/CiAS63QtcgEDAI+IPUubzE2K0EAgYutx+NIBZbFEppBA3jsGGz33N5/FitFjL7JzBiSP9Ox6ppGkkJdpIS7HL9EKIPiXiC0VELFizg97//PW+//TZJSUmUlZUBoUneVqs1wtEdm6xWE1arif3Ftc1W6AZA19EIVYMymUwkxUczeGA61Y4GXB4f1TUuTjkpT7qzhRCiF/vL0tV8vWEfUTYzGmAohWEYaECDy0dUlAWPx0dhcTV1Li9mazToQdDAHm3F7fbhb2HRPACTrqPrGj/6wYmSIAhxHOkzCcbzzz+P2+3m/PPPb7J9xYoVTJ06NTJBHYMaS9LuL67ir/9YS2FxNX7/oTXOgUOSBV3X0HWd9NQ4MtNjOO3kgezcfYDszCRuvX4K2RmyWJ4QQvRm/qCB2+OjX1ocBUUKpUKTqpVSoIHFpFHfUE+UOUBGegZeb4AGlxeX24/X60cRWiwvEAzdidI0QovtaWCzmUlNjuXCH4w94mtBY0+LEKLv6DMJRkFBQaRDOOY1TvJ7+4P1FOyvwuX2HtJzEbroAGgH51toGsTYrURFWTlhaAZmPUhRiSPcaxEfFx2ZDyKEEKJFjZWi3G4fRSUOMvsn4Hb7MJt1HE5XaKE8OFh5XMOsaxwor8DvDxJjcpGbnULpASeBoIHb68cfMMK92BD6d+OaGSaTidEjssjNTiEQMJoNzRJCHLv6TIIhuo9Siqf+/BGrvtxFQkI0NU4XHq8vtEJr0ICDlaM0tHDvha5DTLSNC6aPIRhUXPbD8fg8NZw4eoRMwhNCtGrBggUsWbKE/fv3Ex0dzaRJk3jyyScZNmxYi/vX19dz11138c9//hOLxcL111/PE088gdksl6/OaryJ9OFnoZKwe4sqaXD5KCqtxu8PUlbuxFCh87tx8IaSx+vB8NURF5fMxT+aQumBWnKzU+iXGs++4mqcdS7sURYy+idRXOqgts4NGlgtZvqlxXPK2FzKK+pIjI9uktjIdUKIY5ucoY9jSim27SrjtX+uZcWa7VRW1ZOSFENldX0oodA5pAzt95WidF1D12BwXhoZ6YkUljgYMaQ/HpdFxtgKIdo0ePBgnnvuOQYPHkxtbS0PP/wwF1xwAbt27Wpx/zvuuIOvvvqK5cuX09DQwKxZs4iLi2P+/Pk9HHnvcSQ9AeF1jXaVkJQYgwY4ahrYV1SN2aSRkhyLs9aFxxvAZNKxmDRcDU6U4WLsyGyqXbHsLqikylFPTmYy0dFWBg5IZXdBOUZoJBX90xLQNQ2LxURudioTTs6jsNTBoNw03ln2bTixKT5Qw8hhoXKzCfHS0y3EsUgSjOOUs9bNkjfX8NIbn+OocaGUwmQKTeoOBEOrp5obh0IRSjAaq4SYdA2r1czYkdkUljrCix7t3l0VuQ8khOgTrrjiiiaP58+fz4knnsiBAwfo169fk+ccDgevv/46y5YtY8KECQA89thj/PznP+ehhx46OCxHdERxaQ3bdpYwIDsZR40Lj8dPlbOBjH4J7CusIjc7BQCH00UwoDDrYATqmTZxFGkZudQ43VRV11NdE1rL4oLpJ1JYUs3Zk4bj8QbwePxc/qPxfPz5Vt5fvhG3x0dhiYMThmXg9frZll9KUmIMuqYxICuZbbtKePUfX3DnnGnSkyHEMUgSjONQ452std/spq7eS/Dg+hb+gJ+iEgcmHYLBUOnBUDcG3ycXJp2EeDtZ/RNpcPsZJYseCSGOkNvtZsmSJQwfPpy0tLRmz69fvx6lVJNCHueccw5VVVXk5+czfPjwHoy2b3M4XWgHi3IA+APBUBVAXQctdF3onxpPfYMHZ62b6GgrQweeRHpGFiOHZ3LJjLHM/c3fadjjwzBg+67S0Hy7Kyfy1vvrARg5LIMThvbH5w+G161QKB5/9oNwYgOh60hOZjJbd5RQXFojPd9CHIMkwTgOFZfWsHVHMZVV9aEFlUw6oKHrBi63j0DQD+gH1+X+XuOk7uGD0/nFneeTk5ki42iFEJ3273//m5kzZ+JyuRg2bBjLli0L/+F7qPLychITE7FYLOFtjYlIeXn5cZlgHD5Ju6Pn4KQEO4YRKj8LYDGbUAqChoERVByorMVZU4vDUYktOon4uGgmnjKMW2dPJTbGxqLXVrFzbzk+f4Bg0GDPvkpGj8hqtv7F4etWbNpW3CSxaWQy6eim0OKrkmAIceyRBOM45HC6cHv91NV70TQIBg00Tcdi0fH6fGAozJZQ0mE+eFEwmXSGDerH2FHZuNx+cjJT5KIghDgi06ZNY8OGDZSVlfHUU09x9dVXs2rVqiaJBBCuXHeo9v6YXrhwIQsXLgw/rq2tJT8/v2sC76TKysouPV5dvZd/fbSFT/+bj6ZpbM8vZEheCpecO4q4WFuz/f/xn00A/PiCMSil6JdiZcv2fdTVu9GAmGidfUUVeH1+GhpqqXMeQDdFEWPX0TBwe+ppqCtn0V838PHqfPw+PyZdI8pmwuf38u7/W4+roRab1YymaeF2nnJaaEG9/Px8nDV1OJ21VEZBQ0NoeFV1dTWGYeB01uGsKSc/333UbdPVbd0T+mLM0Dfjlpi73pAhQ9p8XhKM41BSgp36Bi81dS68vgCGoQADr9cHyiAuLpbTTh6CYRgkJcWyu6CC2GgrZ5w6GE3T2F9cJXedhBBHLCYmhiFDhjBkyBBOO+00kpKSWLZsGRdddFGT/fr160dNTQ1+vz+cfJSXlwOQnp7e4rHnzZvHvHnzwo+zs7PbvRB2p656b6UUf/zLCsqrfWT0T0HXNEaNyKawpJrV3xxocS5DWlpZkxjm3ZrNK299wfsfbUDTNHIyU4myRfH1hl14GmowWWJISExF03VcngArvijAZI6msMSJyWQmNjYahUZ8XDTpafE4nS72FtUz5oRskhLsLX7WwYMV32x1sG1XCdHRdnRdIyEhkcKSaiaMH86k00/qsl7wSP53PlJ9MWbom3FLzD2reZ+06NOUUhSVONi0rZiiEkeTO4CNz1XV1NPQ4MXl8mI2aYACww/KhC3KTl5OOinJsZQcqCUlMYbUpBiio61omkYwGOpOT0qwR+5DCiGOKUqpFsvOjhs3Dk3TWLlyZXjbp59+SkpKSp++8B6J8CTtrGT0g3+QHz6X4XBr1u1mzbrd4ccJ8dHcdeM0ZkwdTXxsFCMG9yctej/u2kKirT6ysrKIstmIjrJgj7YRG2Nj684SCgqr0DStSSKgaxq6ScMfCDJj6qhWK1ppmsbsK87ghKGZOJwNVNc0UFhcHa4iJUNshTg2SQ/GMaSxxvl7H35LWUUdCXFRnDdtNHfdeDaapoXvXPn8QWqcLmxWC8GgQtcMDAySEmOx2qzExUaxI7+UunoPH362BYtZJzszmWDQoLCkOlw1SgghOuuBBx7gkksuITMzkwMHDrBgwQJSU1OZNGkSxcXFnHPOObz66qucdtppJCcnc80113D33XezePFiGhoa+NWvfsXtt99+3FWQOnySdqPW5jIopXC5ffj9gSZzNRrnSCTE20lKjMFm0YiLi2P0mJPYV1RDVJSFgN8fujmlIG9ACvuLq7FHW5vcsDKUwggqLGZTuzecGhMbny8Qnvwt8/eEOLZJgnGMaKwMtXHrfmrrPdTVe/D5A7z1/jo2bS/ilDF57C2qJCkxhoYGL4ZhEG0zoxTExthITkjDbDHjcDZgtZqJirKSmBCDYRjsK6qmxulif3G1VI0SQhyV/fv3c8UVV1BRUUFaWhqTJ0/mk08+ISEhAYfDwY4dO3C5XOH9//SnP3HnnXcyffp0zGYz119/Pb/5zW8i+Aki4/BJ2o1a6lV21rp55c01rP1mDyjFLxe8wykn5jL7yokkxEfjcbswggE0TeOZhb9l8F8+5atvC1A4DpYkV3g8fnKzU8jun0RKcixujw+324dSCqUUzloXFouJU8bmduiG0+GTv4UQxzZJMI4RjZWhyitqKa+sw+Px4Q8E0Ihi3YZ9FBZVc+GMsThqXJjNOpWVlTgcFSQkZmKzWLDZLAzKTeXbzR6GDkxn7/4qdLOJk0bnMXxwf/YVVvGTq8/klLG5klwIIY7Y0qVLW30uLy+v2cTu2NhYlixZwpIlS7o5st4tKyORkcMy2barBMNQ6LrWYq+yUopFr63kg0834/X60XSNPfsq2LB5P1+s383TD13E22/8LwE9jYG56ZSV1zHnqjNpaPCxbuM+NHwEAkESE2IZOzIbQ8Hg3DT6p8Xz3kcbqWvwABAXG8X554xh9pUTO3xN6MzCgEKIvk0SjGOEw+nC5fGRv68ydIHWQvXNo2wWPF4/ZRW11Dd4Ucpgz86NVFTWY4tOxOML4PYGCSqDyup60CDK9n0lF03TSEqMoa7BQ5TNIsmFEEJEQONchkMnaRcWh5KLQ3uVi0odfPDJZvyBALoe2hYdbaXaUc/GLfs474KZlFRrpGf3Y/WX+ZQccDJyWCZ3zJnGhi2FlJbXEh2lkZKUgNlsorCkmrGjcrjjhqkkxNtZ+cUOThiayc9uOpvsjCS5JgghWiQJxjEiKcFOba0Hn9eP2aR/f9LXwGox4fEGOFBRw8Zv1lB+oIi8vEEQlUFldQMx0VY0NHKykik9UMPGrUVYzKbwMWRitxBC9JyX31gNNL/j35G5DDvyD1DjbEDTNfwBA1AUFlfj9Xqpq3WgBxIYf9qpxCWmUVzqoNrRwLZdJbz29pdMOWMYX31bQEFhOQ6nq0kCo+s6yYkx9EtLYMSQ/uRkJvdkkwgh+hhJMI4Rmf0TcNa7aXD7iD7YA6GUwusNEBsThWG4+WzlVzgqiuiXMYAfnDuD5Z9vZ/TwTACsFjMTxg/kq2/3UlBYRVb/JGLsVpnYLYQQvUh7cxmUUtQ1eDGbdUCFkg8VoK62HjQLg4efzFmTTmbDliL8/iANLi+D8lLZsqOEIXnpTDljGDkZdqKj45olMD+55kwZ5iSE6BBJMI4BjdWjvD4/KHB5QhPxgpqGPdpKlM1MXEwUAVctFssIcnKHsq/IQWK8ndPHD2LrzlIAdF3npNEDcNa5ibFbSUmOabELXgghROS09Ud+Qnw0KAiNlNVAgccbBN0MmomyCg9frN9LabmTyup6XB4ftfUeLBYTs684gzNOGcyCZ98hLS1RJmMLIY6YJBh9XGP1qG27Ssjqn4TfF8RZ76Guzo3VYsJq0bDZLPzwnDHc/ZO5HKisp8bpxuP189Ibq7BYmpZ6tJhNDBvYj59cM5kom4WkBLuUExRCiD4iKspCVkYSFdV1GIaBAnwBLbxQocViYtfeA7g9fqwWE9FRVuLioig74OST1ds4ffwgfnzBmONunREhRNeSBKOPCy++lJ2Mo8bFgOwUlFJs3VmKy+Vhf8EOTh2bwy2zzsJqtZKTmUxOZigx+WL9nhYrkowakSXVooQQog9KTohhyMA0nDUHCPhq0S3xxETbMAwDfyCI2WTC5fGG5taZdJRS1Nd7yM1OpqjE0eKCfUII0Vmykncfd/jiSxazidNOHsiEsen46osweXZy55xpxMdFN3mdrK4qhBC9j1IKh9NFSVkNRSWOZmV725OeGsP+3RsoLsxHN+qxmDVyspIIGgaBgMLvD+D3G/j9Bj5/AI/HT1pKHCePHoDJrONwutp/EyGEaIf0YPRxLS2+tH3bNv7fhx9itiSw6E9P8IMfnNXiaxsrklx2/sk4nC4ZDiWEEBHUOJ/uw882o2kaxQdqwjd9EuKj2329y+XilltuYfO6zxk2agY1vv7U1XkoPeAENOx2C7ExUaCBy+XDZDIxODeNU0/KC11HDlYL9Ljc3f9hhRDHNOnB6OMaF1/aX1yNYSgK9+Xzn2XLiIpO5qYbLue8cye3+XpN08jOTGLMCVlkZ0pNcyGEiIRD59MlJcaQnBjDgKxktu0q4dV/fNFuT4bH4+Gqq67ik08+YeaVl7Hi388x58pJnDAsA4vZRHKiHZOuY9J1LBYzZosJVKjKlGEoqRYohOhSkmD0cYcOdUpJiiE3dwApqQO4+SdXce/tF0nCIIQQfUB4Pl1WMvrB87bJpJOTmczWHSXtzo2w2WyMGzeOO++8k4ULF2K1WklKjOGUsXmkpsTh8wXx+YN4vH6GDkwnPTWeYFBR6aiX4bFCiC4nQ6SOAfZoMxdMzQ0PdUpMuEZWWBVCiD7k8Pl0jUwmHd2k4XC6Wiwbu3fvXrKzs7FYLDz88MNNzvs/ueZMikocVDnqibXbKC5zkJ2RzMRTBhEMGnz42VZOO3kgd990jgyPFUJ0KenB6ONcLhdz5szh4osvBqOBMSdkkZOZLBcKIYToQ1qaTweEqj0dnBtxuK+++orzzz+f++67D6DF835oGG0Wbo8fm9VMdJSFoKEoLHUwIDuZ4YP7yfBYIUSXkx6MPqy6uprrrruOb7/9lpkzZ9K/f/9IhySEEOIINM6na6l0eEtzIz766CNuueUWzGYzl19+eavHbRxGC/D+Rxu+rxh4cAHVwysMCiFEV5AEo48qKiri6quvZvfu3fzsZz/jgQcekDtQQgjRRzUmAq+89QXvf7QBTdOaJAKHnt/feOMNfv7zn5OUlMTrr7/OiSee2OaxGysG+nwB3G4fc2ZOkiFRQohuJQlGL/HyG6uB0JjZ9pSVlXHhhRdSXl7OY489xo033tjd4QkhhOhmHUkEXnnlFR588EEGDBjA0qVLGThwYIeOrWka9912bneFLoQQTUiC0Qelp6czffp0Jk+ezEUXXRTpcIQQQnRSazeVNE0jKcFOUoK9xUndU6ZMYerUqTzzzDOkp6f3SKxCCNFZkmD0Ao0rt7rdPopKHK12Xa9fv56TTjoJk8nEE088EYFIhRBC9DSfz8e2bdsYO3YseXl5vPHGG5EOSQgh2iRVpLrBy2+sDt+dao+z1s0f/7KCDz/bzKqvdvHYs//hj39ZgbO26Uqqr732GhdffDH/+7//2x0hCyGE6CGNN5VKymooKnG0uYheXV0ds2bN4tJLL2XXrl09GKUQQhw56cHoYh3tjWjc99CVW3VNa7Jy651zpgHwzDPP8MQTT5Cbm8vVV1/dkx9HCCFEF3LWunnlrS/48LPNaJpG8YGa8CJ3CfGhik6Nw6bKy8u59tpr2bJlC3PmzGHQoEGRDF0IITpMEowu1JELx6HCK7dmJ+OocQFNV27dX1zFC39ayJIlSxg9ejSvv/46aWlpPf2xhBBCdIGO3FRqvCFVUFDA1Vdfzb59+/j5z3/O3XffLVWfhBB9hgyR6iKHXziSE2OaXDha6gJvb+XWx3/3FEuWLOHMM8/kn//8pyQXQgjRh4VvKmUlox9MFg69qVRcWgNAVVUVF110EYWFhTzxxBPMnTtXkgshRJ8iPRhdpL3eiOLSmmYVQdpbufXqqy4jNsrH7373O6xWa499FiGEEF2vvZtKDqeL7MwkUlJSuP766xk9ejTnnXdehKIVQogjJwlGF+noheNQLa3cWltXR/6eMs48fRRTJp/C1LNO7cmPIYQQops03lRa/90+iksd5GQmA9/fVNqx/TuGDUrFZrNx3333RThaIYQ4cjJEqou01xuRlGBv9prGlVtPGJqJw9lASVkFry99l7WrPuDiH5wgXeJCCHEMabyp5KhxhYfNBoMGhSXVNNQW8bM7b+I3v/lNhKMUQoijJwlGF2m8cOwvrsYwml44Rg7PJCsjscXXNa7ceuLQWPK//Qf+6i/53a+vY0BORg9GL4QQors13lTqnxaPy+2nuqaB/cXVHCjazvJ3/8zgQYO46667Ih2mEEIcNUkwusjhvRHVNQ0UFleHq0i11Rvx+eef89eX5uN3H2Dxy//HNddc04ORCyGE6CrtrYMUHxfFiSOzyc5IZMyITII16/ni078wftwY3n33XbKzs3swWiGE6B4yB6MLNfZG+HwB3G4fc2ZOanMdDIBt27Zx3XXXkZwYy6uvvsppp53WgxELIYToKY2lzD9auYWKqnryd22n+sA2pp11Dov/8gJ2e/OhtEII0RdJgtHFNE3jvtvO7fD+I0aM4Pbbb+eSSy5hxIgR3RiZEEKI7nT4QquHlic/vJR5SlIsA3OG8fnqGCaecy7R0c3XShJCiL5KEowIUErx1ltvcdlll2E2m/nFL34R6ZCEEEIchZYWWu2XYmXerdkkxEeHS5knJVjZtWs3qWkZJCYmcsH509ief6DFUuZCCNFXyRyMHub3+7nnnnuYO3cuzz//fKTDEUIIcZRaW2h1976q8EKrDqeLuvo6/v63v7Fh/Wo8HjfQtJS5EEIcKyTB6EEul4sbb7yRN998k+nTp3PjjTdGOiQhhOhRjz/+OOPGjSM2NpaMjAzmzJlDRUVFm6+ZOnUqmqY1+XnmmWd6JuAOaG2F7oz0uPBCq4X781nx6QrqXQ2MHHMqUVGhIVFtlTIXQoi+ShKMHuJwOLjqqqv45JNPuPLKK3n55ZdlQp8Q4rizevVq5s2bx7p163j33XfZunUrV111Vbuvmzt3LqWlpeGfm2++uQei7ZjWFlrV9VDvxLIPP+WO2+agBWuYdOa59M/IBTpWylwIIfoimYPRQ+644w7Wr1/PnXfeyYMPPiiL6AkhjksffPBBk8fPPPMMEydOxOl0kpCQ0OrrYmJi6N+/f3eHd0RaW2jVMAxqnXU8/NAjJMXbef6Fx/hmez3vf7QBTdNCpcyHt1/KXAgh+hpJMHrII488wn//+19uuOGGSIcihBC9RmVlJVFRUcTExLS536JFi3j++efJzs7muuuuY+7cuZhMph6Ksm2NC61u21WCYSh0XSMYNCgtr2PC+OFMHfcA06ZNY9CgQUyaqDpVylwIIfoiSTC60ddff43P52PSpEkMHTqUoUOHRjokIYToNbxeL/Pnz2f27NmYza1fjmbNmsWgQYNIS0tj7dq1PPDAA9TU1PDoo4/2YLSta1xo9ZW3vgj1TqDx6covmTBuOLOvOIP4uLOb7JuUYCcpwS5Vo4QQxyxJMLrJRx99xC233EJiYiJr167FZrNFOiQhhOg1gsEgs2bNAuDJJ59sc9+bbrop/O8xY8ZgMpm4++67mT9/frO7/wsXLmThwoXhx7W1teTn53dh5K07/6wcioqKWf7BPyje/x3D+v2Q8gOnUX6g6X6Nk9p7Kq7OqqysjHQInSYx95y+GLfE3PWGDBnS5vOSYHSDpUuXcv/995OUlMSSJUskuRBCiEMYhsENN9zA9u3bWblyJbGxsZ16/fjx46mvr6eyspK0tLQmz82bN4958+aFH2dnZ7d7Iewq9fX1rFi2hL07N/Ljyy/hjjtub/G9f3F3z8RzNHqqzbqSxNxz+mLcEnPPkipSXUgpxbPPPsu9995LdnY27733HmPHjo10WEII0WsopbjppptYu3Yty5cvJzk5udPH2LhxIzExMaSmpnZDhEemoqKCyy+/nF07NnLG5PN44YUX5OaSEOK4JQlGF/r888/5/e9/z8iRI3n33XcZOHBgpEMSQohe5dZbb+X999/n9ddfB6CsrIyysjKCwSAAxcXFjBgxgq+++gqA3bt389vf/pZvvvmGvXv38re//Y377ruPO+64o1dNjv7FL37Bpk2b+PWvHuSDd//aayagCyFEJMgQqS501lln8fjjj3PZZZcRHx8f6XCEEKLXWbRoEQATJkxosn3v3r3k5eXh9/vZsWMHLldoZWur1cqHH37Ik08+icfjIS8vj3vvvbfJMKje4PHHH2fGjBlceeWVkQ5FCCEiThKMo1RXV8ef/vQn5s2bh8VikTK0QgjRBqVUm8/n5eU12ScnJ4fPP/+8u8M6IqtXr8bhcHDhhRfSr18/SS6EEOIgSTCOQnl5ObNmzWLz5s0MHDhQLi5CCHGceO+997jrrruIj4/n7LPPbncdDyGEOJ7IHIwjVFBQwMUXX8zmzZu5//77ueKKKyIdkhBCiB6wePFibrvtNpKTk3nzzTcluRBCiMNID8YR2LRpE9deey3V1dU88cQTXHvttZEOSQghRDdTSvHEE0/wzDPPMGjQIJYuXUpOTk6kwxJCiF5HEoxOMgyDefPmUVdXx0svvcR5550X6ZCEEEL0gHXr1vHMM89w8skn8+qrr5KSkhLpkIQQoleSBKOTdF3nxRdfpLy8nNNOOy3S4QghhOghp556Ki+88ILMuRBCiHb0yTkYd999N5qm8dJLL/XYey5evJgVK1YAoSonklwIIcSxz+l08otf/IL6+noALrzwQkkuhBCiHX2uB+PTTz/ls88+IyMjo0feTynF73//e/7whz8wZswYpkyZgq73ybxMCCFEJ5SVlXH11VezY8cOxowZI/PthBCig/rUX8pOp5Of/vSnLF68GKvV2u3vFwgEuPfee/nDH/7AySefzNKlSyW5EEKI40B+fj4XXnghO3bs4Ne//rUkF0II0Ql9qgfjrrvuYtasWYwbN67b38vtdvPLX/6StWvXMm3aNF588UXsdnu3v68QQojI+uabb5g1axZ1dXU8++yzUoZcCCE6qc8kGG+//TabNm3i5Zdf7tD+CxcuZOHCheHHtbW15Ofnd/j9Pv74Y1atWsX555/Pgw8+SElJSadjPt5UVlZGOoQ+Q9qq46StOq6n22rIkCE9+n49QSnFY489htfr5ZVXXuHss8+OdEhCCNHnRDzBuPXWW3nhhRdafX7KlCm89dZb3HXXXSxbtgyLxdKh486bN4958+aFH2dnZ3fqYjhkyBDsdjuzZs2SYVGdcCz+wdFdpK06Ttqq46Stjo6maSxatIiioiJOOumkSIcjhBB9UsT/cl6wYAGFhYWt/rz11lts2bKFkpISxo0bh9lsxmw2s2/fPm655RbOPPPMLotl586d3HnnnXi9XgAmTpwoyYUQQhzjlFL86U9/4s033wQgNTVVkgshhDgKEe/BSExMJDExsc19Tj31VDZt2tRk24wZM7jllluYNWtWl8Sxbt06rrvuOhoaGrjmmmuYOHFilxxXCCFE72UYBvPnz2fRokWMGjWKyy67DLM54pdGIYTo0/rEWTQmJobRo0c32WaxWMjMzGTQoEFHffzly5dzyy23oOs6r776qiQXQghxHPD7/cydO5d33nmHCRMmsGTJEkkuhBCiCxz343/+/ve/c+ONN2K323nrrbeYOnVqpEMSQgjRzerr67n++ut55513mDFjBkuXLiUhISHSYQkhxDGhz96qKSgoOOpj+Hw+nnvuOTIyMvjb3/7WJb0hQggher+vvvqKzz//nGuvvZbf/e530nMhhBBd6Lg+o1qtVpYuXYrFYqFfv36RDkcIIUQPOfvss3nvvfcYN24cmqZFOhwhhDimHHdDpHw+H3feeScffvghECpfK8mFEEIc+7Zs2cLMmTNxOp0AjB8/XpILIYToBsdVglFfX891113H22+/zXvvvRfpcIQQQvSQNWvWcNlll/HFF1/w3XffRTocIYQ4ph03CYZhGPz4xz9m1apVXHfddfzhD3+IdEhCCCF6wH/+8x+uvvpqAN544w0mT54c4YiEEOLYdtzMwaiqquK7777j3nvvZd68edItLoQQxwGXy8XNN99MWloar7/+OqNGjYp0SEIIccw7bhKMQCDAggULuP766yMdihBCiB7idrsZMWIES5cuJTc3N9LhCCHEcUFTSqlIB9ETbDYbaWlpnXpNfX09sbGx3RTRsUfaq+OkrTpO2qrjerqtYmNj2b59e4+935E4knN/V+mr392+GLfE3HP6YtwSc9dr7/x/3CQYRyI7O5uioqJIh9FnSHt1nLRVx0lbdZy0Ve/SV/979MW4Jeae0xfjlph73nEzyVsIIYQQQgjR/STBEEIIIYQQQnQZSTDaMG/evEiH0KdIe3WctFXHSVt1nLRV79JX/3v0xbgl5p7TF+OWmHuezMEQQgghhBBCdBnpwRBCCCGEEEJ0GUkwhBBCCCGEEF1GEgwhhBBCCCFEl5EEo5PuvvtuNE3jpZdeinQovdKLL77IxIkTSUhIIC0tjcsvv5w9e/ZEOqxeY8GCBWRmZmK327nooosoKyuLdEi9zuOPP864ceOIjY0lIyODOXPmUFFREemw+oRLLrkETdP4+OOPIx3KMe9IvqdTp05F07QmP88880zPBEzo/DNixAjsdjspKSlcdNFF7Ny5s9X96+vrmTNnDvHx8aSkpHDPPfcQCAR6LF7ofMyRbuOWdOT3sje09eE6Enek2/vhhx9u9v6XXHJJq/v3lnbubNyRbucjIQlGJ3z66ad89tlnZGRkRDqUXmvlypXMnj2bVatW8cknn+DxeDj//PPx+/2RDi3iFi9ezGOPPcZzzz3HmjVrqK2t5aqrrop0WL3O6tWrmTdvHuvWrePdd99l69at0k4dsHjxYtxud6TDOG4c6fd07ty5lJaWhn9uvvnmHog2ZPDgwTz33HNs2bKFTz/9FJPJxAUXXNDq/nfccQdr165l+fLlvPXWW/z9739n/vz5PRYvdD5miGwbH66jv5e9oa0P1ZnzSaTb+7TTTmvy/kuWLGl1397Uzp2JGyLfzp2mRIfU1NSoQYMGqfXr16vc3Fz14osvRjqkPqGkpEQBauPGjZEOJeJOPvlk9ctf/jL8ePfu3QpQ3377beSC6gPWrFmjAFVTUxPpUHqtgoIClZOTowoLCxWgli9fHumQjjsd+Z5OmTJF/c///E8PRtW27777TgGqrKys2XPV1dXKZDKpjz76KLzt5ZdfVikpKSoQCPRkmE20FbNSvauNO/p72dvaujPnk0i390MPPaQmTZrUoX17Uzt3Jm6lIt/OR0J6MDrorrvuYtasWYwbNy7SofQplZWVACQnJ0c4ksjyer1s3LiRs88+O7xt0KBB5OXl8eWXX0Ywst6vsrKSqKgoYmJiIh1Kr2QYBrNnz+aRRx4hOzs70uEctzr6PV20aBGpqamcdNJJPPXUUwSDwR6KsCm3282SJUsYPnw4aWlpzZ5fv349SimmTp0a3nbOOedQVVVFfn5+D0b6vfZibtQb2rgzv5e9qa2P5HwS6fbeuHEj/fv3Z9iwYdxxxx04HI4W9+tN7Qwdj7tRpNu5s8yRDqAvePvtt9m0aRMvv/xypEPpU5RS/OpXv2LGjBnH/R8+VVVVGIZBenp6k+1paWmUl5dHKKrez+v1Mn/+fGbPno3ZLKerljz99NPExsYyZ86cSIdy3Oro93TWrFkMGjSItLQ01q5dywMPPEBNTQ2PPvpoj8X673//m5kzZ+JyuRg2bBjLli1D15vfaywvLycxMRGLxRLe1vhHfXl5OcOHD+91MUPvaGPo3O9lb2rrzp5PIt3ep59+Oq+++ipDhgyhoKCABx98kIsvvpiVK1eiaVqTfXtTO3cmboh8Ox+RyHagRNYtt9yigFZ/pkyZosrLy1VmZmaTIT7H4xCpjrTV4e655x41cOBAVVJS0vMB9zJFRUUKUN99912T7aeeeqqaP39+hKLq3QKBgPrxj3+sTjnlFFVXVxfpcHqlrVu3qoyMDFVcXBzehgyR6lFH8z19+eWXVWxsrDIMo5uia66+vl7t2rVLrVq1Sl1yySVqwoQJyufzNdvvtddeU8nJyU22uVwuBajPP/+8p8JVSnU85pZEoo07+3vZW9q6K84nkWjvQ+Xn5ytAff31182e6y3t3JK24m5JpNu5I47rBMPhcKjCwsJWf8rLy9WKFSsUoEwmU/gHULqud2r8XF/XkbY61IMPPqiysrLUnj17IhRx7+LxeJSu6+rjjz9usj0vL089//zzEYqq9woGg2rWrFlq9OjRqqqqKtLh9FqLFy9Wmqa1eH665pprIh3eMe9ov6cbNmxQQLPzZ0/xer3Kbrerd999t9lzy5cvV7quN/lDvqCgQAFq+/btPRlmE23F3JJItHFnfy97S1t3xfkk0t9ppZRKTExUb775ZrPtvaWdW9Na3C3pDe3cnuN6zEFiYiKJiYlt7nPqqaeyadOmJttmzJjBLbfcwqxZs7oxut6lI23V6JFHHuGll15i5cqVDBw4sHsD6yNsNhtjx45lxYoVnHPOOQDs3buXgoICJkyYEOHoehelFDfddBNr165l1apVx/38nbZccsklnHLKKU22jRkzhhdeeIHzzjsvQlEdH7rie7px40ZiYmJITU3thgg7RinV4rCucePGoWkaK1euZPr06UCokmJKSgpDhgzp6TCbaC3mlkSijTv7e9lb2rorzieR/k7v37+fmpoa8vLymj3XW9q5JW3F3ZJIt3OHRDa/6ZuOxyFSHfW73/1ORUdHq2XLlqnS0tLwj9frjXRoEdfYpfn222+rDRs2qGnTpqnJkydHOqxe5+abb1apqanqyy+/bPIdimTlmr4EGSLVI9r7nhYVFanhw4erL7/8UikVGgLx2GOPqfXr16s9e/aopUuXqrS0NPXzn/+8x2L++c9/rtasWaMKCgrUl19+qS699FKVk5OjampqmsWrlFLXXXedGjlypPryyy/Vp59+qjIzM9Wvf/3rHou3szH3hjZuzaG/l721rVvSVty9ob3vv/9+tWrVKrV371716aefqvHjx6szzjhDBYPBXt3OnYm7N7TzkZAE4whIgtG63NzcFudorFixItKh9QqPP/646t+/v4qKilI/+tGPVGlpaaRD6nVa+v4Aau/evZEOrU+QBKNntPc93bt3b5Nz3/79+9XkyZNVYmKiioqKUiNGjFALFizo8FyCrjBz5kyVlZWlrFarysrKUjNnzlQ7d+5sMV6llKqrq1OzZ89WcXFxKikpSd19993K7/f3WLydjbk3tHFrDv297K1t3ZK24u4N7X3llVeq/v37K4vFonJzc9XNN98cHjbUm9u5M3H3hnY+EppSSvVET4kQQgghhBDi2CfrYAghhBBCCCG6jCQYQgghhBBCiC4jCYYQQgghhBCiy0iCIYQQQgghhOgykmAIIYQQQgghuowkGEIIIYQQQoguIwmGEH3A1KlTO7zCZ6TdcMMNaJoW6TCEEKLPk3O/6KskwRB9lsvl4tlnn2XKlCmkpqZisVhITk5m0qRJzJ8/n+Li4kiH2OMKCgp4+OGHWbt2bbe+z7/+9S8efvhhPB5Pt76PEEIcTs79zcm5X/Q2kmCIPik/P59x48Yxd+5crFYr999/P4sWLeKhhx5i4MCBPPnkkwwbNizSYfa4goICHnnkkR65yDzyyCNykRFC9Cg597dMzv2itzFHOgAhOsvlcvGjH/2IvXv38t5773HhhRc226e2tpZHH3203WO53W5sNhu6fnzm2kop3G43drs90qEIIUSb5NzfdeTcL7rb8fmbJfq0l156iR07dvDAAw+0eIEBiI+P54knnmiyrXF86IEDB5g9ezZpaWnY7XZqa2sB2LhxIxdffDHJyclERUUxZswY/vjHP6KUanKcvLw8pk6d2uw9lyxZgqZpfPbZZ+FtDz/8MJqmsW3bNubNm0dGRgZRUVFMmDCBNWvWNDuGw+Hgpz/9KampqcTExDB16lTWr1/foXZZsmQJ06ZNA+Cee+5B0zQ0TQvH+tlnn6FpGosXL+bZZ59lxIgR2Gw2Fi1aBICmadxwww3Njtv4GQoKCoDQmOBXXnkFgKSkpPD7LFmypMnrqqurmTNnDikpKURHR3POOeewbdu2Dn0WIYQ4nJz7WybnftEbSQ+G6HP++c9/AnDjjTce0evPPfdccnJyeOihh6itrcVqtbJu3TqmTJmCzWbj9ttvJz09nXfeeYef/exnbN++nf/7v/87qphnz55NbGwsDz74ILW1tTz11FPhO3EJCQkA+P1+ZsyYwddff83111/PhAkT2LBhA9OnTyclJaXd9zjrrLP45S9/yeOPP86sWbOYMWMGAP369Wuy3zPPPIPT6eSmm24iLS2t08MJ/ud//gfDMFi1ahUvvPBC+A7YxIkTm+x33nnnkZWVxaOPPkphYSFPP/00F198Mdu2bcNkMnXqPYUQQs79LZNzv+iVlBB9THJysoqPj2+23efzqYqKiiY/Xq83/Pzs2bMVoGbPnt3stRMnTlRms1lt3rw5vC0YDKoLLrhAAerrr78Ob8/NzVVTpkxpdozFixcrQK1YsSK87aGHHlKAuuiii5RhGOHt//jHPxSg/vznP4e3vfDCCwpQ8+fPb3Lcp59+WgEqNze3rWZRSim1YsUKBainn3661edSUlJURUVFs+dba5vGz7B3797wtsa2dDgczfZvfO6uu+5qsv3JJ59UgFq2bFm7n0MIIQ4n5/7Wyblf9DYyREr0ObW1tcTHxzfb/t///pe0tLQmPx988EGz/ebNm9fkcXl5OWvWrOHSSy9l1KhR4e26rvOLX/wCCE1sOxp33XVXk/J9jd3Z+fn54W3/+te/sFgs3HPPPU1ee9ttt7X4eY/U9ddfT2pqapcdrzU/+9nPmjxu6TMLIURHybn/6Mi5X/QkSTBEnxMfHx8eO3uosWPHsnz5cpYvX87999/f6uuHDBnS5PHevXsBmlxgGo0ePRqAPXv2HE3IDBw4sMnj5ORkAKqqqsLb9uzZQ1ZWFrGxsU32tdlsDBo06Kje/1CHf/7u0pHPLIQQHSXn/qMj537Rk2QOhuhzRo4cyerVqykoKGiyAFFSUhLTp08HoKioqNXXH141Qx02ke9QLS0a1NpCQsFgsNXjtDbu9ND3Vkq1euy2YuyszlYNaetztaUjn1kIITpKzv1HR879oidJD4bocy677DIAFi9e3CXHa7xDtHXr1mbPbdmypck+ELob43A4mu17tHe6Bg8eTFFREfX19U22e73e8J229hzNKqqd+VyyWqsQoqfJub91cu4XvY0kGKLP+elPf8rgwYNZsGBBi+NsoXN3StLT05k4cSLvvPMOO3bsCG83DIMFCxYAcOmll4a3Dx06lO3bt1NaWhre5nQ6j/qid/HFF+P3+3n66aebbP/zn//c4rCAljR2sVdXV3f6/YcOHcoXX3yB2+0ObysoKGhxDPLRvI8QQhwJOfe3Ts79oreRIVKiz4mNjeXf//43P/rRj7jggguYPn0606dPJz09HYfDwaZNm3jrrbeIjo5uVqavNc8++yxTpkxh0qRJ3H777aSlpfHOO++wYsUKbr/9dsaPHx/e9/bbb+fvf/8706dP55ZbbsHlcvHiiy+Sk5PT5MLTWXPmzGHRokX85je/IT8/n9NPP51vv/2Wt956i8GDBxMIBNo9xsiRI4mLi+Mvf/kL/fr1IyUlhfT0dM4+++x2X3v77bcze/Zspk+fzrXXXktFRQV//vOfGTlyJOvWrWuy7+mnn85zzz3HPffcw+WXX47VamXChAnNxt4KIURXkXN/6+TcL3qdyBSvEuLo1dXVqaeeekqdeeaZKikpSZlMJpWUlKTOOOMM9fDDD6vCwsIm+zeW0GvNt99+qy688EKVmJiorFarGjVqlHr22WeblBhs9OKLL6rBgwcri8Wihg0bpp5//vk2SxUeWuavES2UBqyqqlI33nijSk5OVna7XU2ZMkV9/fXXasqUKR0qVaiUUv/5z3/UySefrGw2mwLCZRUbSxUuXry4xdcZhqF++9vfqqysLGW1WtXYsWPV22+/3eJnCAaD6t5771VZWVlK1/Umx22tnffu3asA9dBDD3XocwghREvk3N8yOfeL3kRTSmbdCCGEEEIIIbqGzMEQQgghhBBCdBlJMIQQQgghhBBdRhIMIYQQQgghRJeRBEMIIYQQQgjRZSTBEEIIIYQQQnQZSTCEEEIIIYQQXUYSDCGEEEIIIUSXkQRDCCGEEEII0WUkwRBCCCGEEEJ0GUkwhBBCCCGEEF1GEgwhhBBCCCFEl/n/WVpT000o9XkAAAAASUVORK5CYII=", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "image/png": "iVBORw0KGgoAAAANSUhEUgAAAxgAAAGICAYAAADChEYOAAAAOnRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjEwLjAsIGh0dHBzOi8vbWF0cGxvdGxpYi5vcmcvlHJYcgAAAAlwSFlzAAAMTgAADE4Bf3eMIwAApFJJREFUeJzs3Xd4FMUbB/DvJblcem+XBAgBAUGlK6J0RFQEaVKkI0hHsWKDH4IFFQUBURBQRESliAiIShMRsIEFQXpJ7+X63c7vj3hrzrRLcpe7JN/P8/iY3dvdmU3IbN7ZmXcUQggBIiIiIiIiB/BwdQWIiIiIiKjuYIBBREREREQOwwCDiIiIiIgchgEGERERERE5DAMMIiIiIiJyGAYYRERERETkMAwwiIiIiIjIYRhgEBVz6dIlKBQKjBs3ztVVcSmFQoHu3bu7uhpERLVO9+7doVAoqn2d+fPnQ6FQ4MCBA9WvFFENY4BBVAcxUCIiIiJXYYBBREREREQOwwCDiIiIiIgchgEGkR1SUlIwffp0JCQkwNvbG5GRkRg0aBB+/vnnUo/Py8vDww8/jPj4ePj4+KBFixZYsmQJLly4UK2hSwUFBXjhhRdwww03ICgoCIGBgWjSpAmGDRsm12X+/Plo3LgxAOD999+HQqGQ/1u/fr18LaPRiBdeeAFNmjSBSqVC48aN8eyzz8JgMFSpbkREddX69esxePBgJCYmwtfXF0FBQbjtttvw4Ycf2nX+gQMHoFAoMH/+fPzwww/o3bs3goODERgYiDvvvBM//fRTued/9tlnuPnmm+Hn54ewsDAMHz4cSUlJJY77+eefMXv2bLRu3RphYWHw8fHBddddh0cffRQ5OTlVuneiqvBydQWI3N3Fixdx++23Izk5GT179sSIESNw9epVfPrpp/jyyy+xZcsW9OvXTz5er9ejZ8+e+OWXX9C2bVs88MADyMvLw6JFi/Ddd99VuR5CCPTt2xdHjhzBrbfeigcffBBeXl64evUqDhw4gC5duqB9+/bo3r07cnNzsXTpUrRu3Rr33XeffI02bdrI17r//vvx+eefo0mTJpgxYwaMRiPWrl2L33//vcp1JCKqi6ZOnYqWLVuia9euUKvVyMrKwq5duzB69GicOXMGL7zwgl3XOXbsGF566SX07t0b06dPx7lz57B161YcOnQIe/fuRZcuXUqcs3LlSuzYsQP9+/dHt27dcOzYMWzevBknT57EiRMnoFKp5GNXr16Nbdu2oVu3bujduzcsFgt++eUXLFmyBLt378axY8cQGBjosO8LUZkEEckuXrwoAIixY8fK+/r06SMAiIULF9oc+/333wtPT08RFhYmCgoK5P0LFiwQAMTw4cOFJEny/itXroiIiIgS17fXb7/9JgCI++67r8RnFotFZGdnl3sfxW3cuFEAEJ06dRI6nU7en5WVJRITEwUA0a1bt0rXkYioLjp37lyJfQaDQfTs2VN4eXmJa9euyfu7desm/vvn1f79+wUAAUC89dZbNp9t375dABBNmzYVFotF3j9v3jwBQAQGBorffvvN5pwRI0YIAGLz5s02+y9duiTMZnOJuq5Zs0YAEC+//LL9N01UDRwiRVSOa9euYe/evWjYsCGeeOIJm886d+6MESNGIDs7G1u3bpX3v//++/Dw8MBLL71kk6qwQYMGePjhh6tdJ19f3xL7PDw8EBoaavc11q1bBwB48cUX4ePjI+8PCwvDc889V+06EhHVJU2aNCmxz9vbG9OnT4fZbMa3335r13WaNm2KadOm2ewbMGAAunXrhnPnzpX6lnvWrFm48cYbbfZNmjQJAHD8+HGb/Y0aNYKnp2eJa0yYMAFBQUH46quv7KonUXUxwCAqx6+//goA6NKlC5RKZYnPe/bsaXNcfn4+zp8/j7i4OCQkJJQ4/vbbb69yXVq2bIk2bdpg06ZNuO2227B48WIcOXIERqOx0tf65Zdf4OHhUWp9uP4FEZGtK1euYPr06WjRogX8/PzkeW2DBw8GgFLnQ5SmS5cu8PAo+aeXtd21PkuK69ChQ4l9DRo0AIAS8ypMJhOWL1+O22+/HWFhYfD09IRCoYCHhwfy8/PtridRdXEOBlE58vLyAABqtbrUz637c3NzARQFGAAQHR1d6vFl7beHp6cn9u3bhwULFuCzzz7Dk08+CQAIDAzE2LFj8dJLLyEgIMCua+Xl5SEsLKzUoCkmJqbKdSQiqmsuXLiAm2++GTk5OejSpQv69OmD4OBgeHp64tKlS3j//fftTo5R1jPA2u5anznFhYSElNjn5VX055vFYrHZP2zYMGzbtg2JiYkYMGAAYmJi5Dkab775JpN4UI1hgEFUjuDgYABAampqqZ+npKTYHBcUFAQASEtLK/X4svbbKzQ0FG+88QbeeOMNnDt3DgcPHsQ777yD5cuXIzc3Fxs2bLDrOsHBwcjOzobJZCoRZJR1r0RE9dGSJUuQlZWFdevWlcgAuGnTJrz//vt2X6usZ4C13bU+S6rip59+wrZt29C7d2/s2rXLpm2XJAmLFy+u8rWJKotDpIjK0bZtWwDA4cOHYTabS3y+f/9+AEC7du0AFAUYiYmJSEpKwqVLl0ocf/jwYYfVrWnTppg4cSIOHjyIgIAAfP755/Jn1jG4/+3dsmrXrh0kSSq1PgcOHHBYHYmIartz584BgDwcqriDBw9W6lqHDx+GJEkl9lvbXeszpyqs9ezfv3+JjqPjx49Dp9NV+dpElcUAg6gc8fHxuOOOO3Dp0iW8+eabNp8dO3YMH330EUJDQzFw4EB5/5gxYyBJEubOnQshhLz/6tWrJa5RGRcvXsSff/5ZYn9OTg4MBoPN5O/Q0FAoFApcuXKl1GuNHz8eAPDMM89Ar9fL+7Ozs7Fw4cIq15GIqK6xzqf7b+fLV199hTVr1lTqWmfPnsXKlStt9n3++ec4ePAgmjZtWmqa2urWMz09HdOnT6/ydYmqgkOkiCqwatUq3HbbbXj88cexd+9edOjQQV4Hw8PDA+vWrbPJK/7EE09g+/bt+Pjjj3HmzBn06dMHeXl5+OSTT9C1a1ds37691El+FTl58iQGDhyI9u3b44YbbkBsbCwyMjLw+eefw2QyyXMyACAgIAC33HILvvvuOzzwwANo1qwZPD090b9/f9x0000YMWIENm/ejB07duCGG27AgAEDYDKZ8Nlnn6Fjx444f/68Q753RES13bRp07Bu3ToMHToUgwcPRlxcHP744w/s2bMH999/PzZv3mz3tfr27YtHH30Uu3fvRuvWreV1MHx8fPDee+9V6dlg1bFjR9x2223YunUrOnfujNtvvx1paWnYvXs3mjdvjtjY2Cpfm6jSXJ0nl8idlLV+xLVr18SUKVNEw4YNhVKpFOHh4WLAgAHi+PHjpV4nJydHzJw5U6jVauHt7S2aN28uXnvtNXHs2DEBQMyePbvSdbt69aqYO3eu6Ny5s4iOjhbe3t4iLi5O9O3bV+zatavE8WfPnhX9+vUTYWFhQqFQCABi3bp18ucGg0H873//E40bNxbe3t6iUaNG4umnnxZ6vZ7rYBARFfP999+LHj16iJCQEBEQECBuu+02sW3bNnl9i3nz5snHlrcOxrx588SRI0dEr169RGBgoAgICBB33HFHqc8S6zoY+/fvL/FZWc+qrKwsMXXqVNGoUSOhUqlEYmKimDt3rtBoNKJRo0aiUaNGDvhuEFVMIUSxMRxE5FSrV6/G5MmTsWrVKjz00EOurg4REdWAAwcOoEePHpg3bx7mz5/v6uoQOR3nYBA5QXJycol9V69exQsvvAAvLy/069fPBbUiIiIicj7OwSBygsGDB8NkMqF9+/YICQnBpUuXsHPnTmi1Wrz00kuIi4tzdRWJiIiInIIBBpETjB49Ghs2bMCWLVuQl5cnT7qeMWMGBg0aJB+3fft2nDhxosLrJSQklMi/TkREROSOOAeDyIXGjRtn1yJN3bp14/oUREREVCswwCAiIiIiIofhJG8iIiIiInKYehVgtGjRolrnX7hwwUE1qV143/VLfb1voP7ee12/b7b9VcP7rl943/WLs++7XgUYhYWF1TpfkiQH1aR24X3XL/X1voH6e+91/b7Z9lcN77t+4X3XL86+73oVYBARERERkXMxwCAiIiIiIodhgEFERERERA7DAIOIiIiIiByGK3mTSwgh5P/clRACFovF1dWocfX1voH6e+//vW+FQiH/R+RIbPvdF++7fintvh3Z9jPAoBqXnZ2NrKwsmM1mV1elXCaTCX///berq1Hj6ut9A/X33ku7by8vL4SHhyMsLMxFtaK6hm2/e+N91y9l3bej2n4GGFSjtFotMjIyEBsbCz8/P1dXp1wGgwEqlcrV1ahx9fW+gfp776Xdt1arRXJyMnx8fNz+d5XcH9t+98f7rl/Kum9Htf0uDzC2bt2KFStW4KeffkJ+fj5MJhO8vMquVmFhIWbOnIktW7ZAqVRizJgxePXVV8s9h9xHeno6wsPDERgY6OqqVMjDwwOenp6urkaNq6/3DdTfey/tvgMDAxEeHo709HQkJCQ4vEy2/fUL2373x/uuX8q6b0e1/S6f5K3VatGzZ0889dRTdh0/ffp0HD16FF9//TU+/fRTbN68GQsWLHByLckRhBAwGAy14gFDREUPGoPB4JTx8mz76w+2/US1iyPafpd3/YwaNQoAcODAgQqPzcnJwcaNG7F7927ccsstAICFCxfiiSeewLx58+plBFqbCCEgSRJ7HIlqCS8vL0iSBCGEwyd8s+2vP9j2E9Uujmj7Xf4GozJ+/vlnCCHQvXt3eV+vXr2QlZWFc+fOua5iZBd3zhpCVB8JIWA2Wyr83XT17y7b/trN1f9+iMiWJAlYJAFJcl7bX6sCjPT0dISEhECpVMr7IiMj5c+IiKhiFouElLRc/H46CafOpiArR+vqKpWLbT8RkWNIkoQ/ziTh/KUsFGr0TiunVr2vLC2SKu/VzZIlS7BkyRJ5Oz8/v1q9XZmZmVU+tzZz1H0LIWAymWAwGODh4f6xrdlshl5f9i/fwoULsWjRInnbx8cHzZs3x5QpUzBu3Din1atPnz7w8fHBjh07KnXepEmT8OGHH5b62bx58+Sx8GazGTk5OVixYgW2bNmCs2fPwmKxIDExEcOHD8ekSZMQEhICAPD19ZWv4e3tjdDQULRs2RL9+/fH2LFjbT6/fPkyWrRoUWr5GzduxKBBgyp1P85Q0c+8LjAYzbh8LRfAv+2pl5ei1PuWJAkmkwkXLlwos61t2rSpk2r6L7b9rsG2v3Rs++tW218f2n0rSZKQX6AH5DbV4rS2v1YFGNHR0cjNzYXJZJJ7sqy9V1FRUSWOnzNnDubMmSNvx8fHV/thWBMPU3fkiPu2WCz4+++/oVKpasWYab1eDx8fnzI/9/Lygre3Nw4ePAgAyMjIwLJlyzB16lRERkZi8ODBTqmXh4cHPDw8yq1baTw9PdGoUSN8/PHHJT5r0KCBfL2UlBT069cPf//9N2bOnIlXXnkFSqUSJ06cwNtvv40LFy5g3bp18rnTpk3D6NGjYTabkZaWhn379uHpp5/G6tWr8e233yImJgYA5HR4L7zwAnr37m1TfrNmzSp9P85Q0c+8NhNCIC9fiytJuf/sUSChQRi8PBVQKFDqfVssFiiVSiQmJrr0d5Ztv+uw7S+JbX+RutL21+V2H7AOhTXDYrHAbBFIz9ICUCAkWIUAf79Sg35HtP21KsBo164dFAoFDh48KP8j3bdvH8LDw+tt40+upVAo0KlTJ3m7Z8+eaNCgAVavXu20h0x1+Pj42NS3NA8//DBOnTqF77//Hu3atZP39+jRAzNmzMC+fftsjm/QoIHNNQcPHowJEyagS5cuGD9+PHbv3m1zfNOmTSusAzmWTmdAVk4hsnN1AACFAmjaOBKeHgpIkuTi2lWMbT+5G7b9bPvdnTW5gslkAgBYJIFLV3MAFD0DwoJ9HZ68oziXv6vMzs7GiRMn5NfXJ0+exIkTJ1BYWIikpCS0aNECx48fBwCEhYVh5MiRmD17No4fP479+/fj2WefxbRp02pFrwjVff7+/rjuuutw+fJlm/3PPPMM2rRpg8DAQMTExKBfv344c+aMzTHjxo1DixYtcOTIEXTs2BF+fn5o3bo1vv3223LLNJvNGDNmDCIiIvDjjz9Wq/5Xr17FZ599hilTptg8YKyUSiXuvPPOCq/Tvn17TJ8+HXv27MHZs2erVSeqOiEEsnMLcfZihhxceHt7onmTKDm4cFVmH7b9VJew7S/Ctt89WAMLk8kEhUKBvAIDzl/Kkj9PaBAKT0/Puh1g7NixA23btsWkSZMAAB06dEDbtm3x008/wWQy4cyZM9Bq/52AuHLlSnTs2BG9e/fG4MGDMXToUDz//POuqj6RDUmScO3aNSQmJtrsT01NxeOPP44vvvgCq1atgtlsRufOnUuMcU5PT8fkyZMxc+ZMbN26FYGBgRg4cCCys7NLLU+v12Pw4MH49ttvcfDgQXTs2LHCOprN5hL/Wce4Hzx4EJIk4e67767id+Bfffv2BQAcOXLEZr8kSTZlWyyWapdFtqyvxH//KwnXknPl/QkNwpDYMFw+RqFQuOwPdLb9VJew7f8X237Xsbb9RqMRkiTBw8MDFotAWkYBAEDhoUBCfCh8VN5ODS4ANxgiNW7cuHInRf13cl9AQADWr1+P9evXO7diVGMmPvo+rlwrvRGtKQ3jw/De62OrdK7ZbAZQNA73lVdeQXZ2Np555hmbY9577z35a4vFgjvvvBNRUVH45JNPMG3aNPmznJwc7Nu3D23atAEAJCQk4Prrr8fu3bvxwAMP2FyzoKAA/fv3x9WrV3H48GE0bty4wrqeOXPGJhOP1f79+9G9e3ckJSUBABo2bGjfzZcjPj4eQNEDtrgHHnjA5l6aN2+O06dPV7s8KlI0odaM0+fS5H2R4f4IC/GzeaAIIeDt7fyHTFnY9pOr2/7qtPsA2/6ysO13DWsAJ0kSFAqF3LZfTsqRj2nWOAJA0TwiZwd4Lg8wiGozg8FQotFet24dOnfubLNv9+7dWLRoEf7880/k5ubK+//++2+b46KiouQHDFA0Ac7T0xNXr161OS47Oxs9e/aEXq/Hd999B7VabVd9GzVqhM8++6zE/ubNmwP49486R/zRWda1Fi1ahD59+sjbxbONUPVYLBYYjSacvfhv72hio3B4K23fUliHRtWGjD5E7ohtf9nY9tcsIUTRBO5/At7i7Xp6ViFMpqJAokmjcAghoFQqa6RjiQEGuVx1epBczdvbG99//z2EELh48SKee+45TJ06FTfffDNatmwJAPjxxx/Rv39/9O3bF2vXrkVMTAyUSiXuvvvuEunhQkNDbbY9PDzg5eVV4rhz584hNzcXzz33nN0PGKBool+HDh3K/Nza83TlyhU0a9bM7uuWxvpgtGYSsUpMTCy3DlR51tfiZrMZZy/+O862SUI4lF4lgwsPDw/OXSCXY9v/L7b9VBWSJMFiscBisdi8tQCA1IwC5OYVzb2LDA+Ap6cCXl5eNdb2M8AgqgaFQiE3mB07dkTHjh3RqlUrPP744/jyyy8BANu3b4efnx+2bdsmT6i15huvqptvvhn33Xcfpk2bhpCQEDzyyCPVvxkA3bp1g4eHB3bt2lUinWBl7dmzBwBK9OiRYxV/LX6u2CS+ZomR8PCw7aWyzruoqR4sorqKbX/Z2PbXDOtbCyFEibfRWp1RDi6Cg3wQGuxT4x1LfD9O5ECNGzfG7NmzsWvXLvz8888AAK1WC29vb5sGYNOmTfLrzKqaMmUKli1bhkcffRTLly+v1rWsGjRogCFDhmDVqlU4ceJEic9NJhP27t1b4XV+/vlnvP322+jbty/TiDqJ9bW4dTKfTm+W105KaBBWanBRk6/HieoTtv1F2PY7n/WNtTX97H+DC5NZktc78vf3RkxkoEs6lvgGg8jBHnvsMaxYsQIvvvgitmzZgjvvvBNvvvkmpkyZgmHDhuG3337DkiVL5BVRq2PGjBmwWCyYNWsWvLy8MGXKlHKP1+v1OHr0aIn9kZGRaNKkCQDgzTffxNmzZ9G1a1fMnDkT3bt3h5eXF3777Te8/fbbuPXWW23G0V69ehVHjx6FxWJBWloavv32W6xbtw6NGzfG2rVrq32PVFLxIVEGowWp6QUw/jPONjjIBz6qkk27NbjgvAsi52Dbz7bf2Yq/sS6tLTeZLTbpaGOjg1yW0IMBBpGDhYeHY+bMmXj55Zdx+vRp9O3bF0uWLMEbb7yBDRs2oH379ti2bRuGDBnikPJmz54Ni8WCadOmQalUYuLEiWUee/nyZdx6660l9o8dO1bOzhMaGorDhw9j2bJl2Lx5M958801YLBZcd911GDp0KB5++GGbc1euXImVK1dCqVQiNDQUN954IxYvXoyJEydyEp8TWPObCyGQnqVBXv6/Y7R9fJSIiQws9ZyaHHtLVB+x7Wfb7yz/XTSvrI6i4sHFdYkRUAAu61hSiP/mAqzD4uPjce3atSqff+7cuXr5ys9R922xWPD333/L2THcnV6vh4+Pj6urUePq630D7n3v/80Ukp2rQ2a2BgAQGKCCOiqoxLAooCi48PT0hJeXV5k9WGXdd237nS0L2/6qYdtfv/C+3ZP1jXVpE7mLy8rRIiOrEEDRHDxAwMvLq8zFVMu7b0f8zvINBhGRmyv+gPHw8EBWrlYOLnx8vBAXE1zqedbX6OUFF0RE5J4qGhJlZTJb5OAiMtwfgICnp6dLA3oGGEREbqz4kChAgfwCPTIyix4kEeH+iAj1L/U8ZowiIqqd7B0SZVV8aFRosK9bdCwxwCAiclPWidyA7ZAoAIAC5QYXrl6pm4iIKs/eIVFW5y//G1w0TQiHh4eHW3QsMcAgInIzxR8weoNZTjlopY4OQlBA6WNniwcXzBhFRFR72DskykqjM8ordUeE+cPT0/VvLqwYYBARuZHiD5j/vrWICPNHRFjpby0A27UuGFwQEdUekiTBaDQCqHhIFFDU3l/9p/MpNMQXYSG+btX2M8AgInITFotFHnNrNFnk4MLfzxsNYkMqPF8IwXS0RES1SPEMgfYMibI6cz5D/josxM/t3lozwCAicrH/PmAkAVy6mgMA8Pb2tCu44FoXRES1y38zBNrDZJZw/lKmvJ3YMAw+KvcKLgAGGERELiWEgMlkshlzm5FZIH+e2DC8wmsUX+uCiIjcX/EMgfYGB0IIm+AiLiYIvr4qt+xY4tOIiMhFSnvAaHRG5ObpAACNG4bZdQ0GF0REtUPxFLQKhaJSbx4uXc2Wv26aEA5vb6VbBhcAAwwiIpewzrco/oCRik3aUyo94a0sv4nmQnpERLVHZVPQFpedq4XBWJQxqlF8CJRK9x4S614DtohqoW+++QadOnWCj48PoqKi8NBDDyEvL0/+/MCBA3JDUvy/Dh062Fzn/Pnz6NatGwIDA9G9e3dcvHjR5vPc3FxERUXhm2++qVT99u7di379+iEyMhLe3t6Ii4vDmDFjcPLkyarfdAXeeOMNJCQkwMvLC23atAEAzJ8/Hz4+padWLc7Hxwfz5893Wt2cZf78+TY/X5VKhWbNmmHBggVyZhDg3yFR1uDC+oCRJIG/i03aa9IoHOU9e6zBRVn5zmvr95GotmDbXxLb/rLbfutbC+t8i8oEF4UaA9L/WWA1wN8bfr6qMjuW3OX7yDcY5Bas6TVdpbI9CVYHDx5E3759MXDgQMyfPx9XrlzB3Llzcfr0afnhYrVmzRq0atVK3g4ICLC51pgxYxAQEIAtW7bglVdewdixY3Ho0CH58+effx5du3ZF79697a7f//73P8yfPx/33nsvli9fDrVajaSkJHzyySdo27YtJEmq9D1X5M8//8ScOXPw+OOP47777kNgYCAA4MEHH8Tdd9/t8PLcibe3Nw4ePAgA0Ov1OHLkCObNm4f8/Hy89tprpc63AACD0YyLV/599d0kofx5FxUFF0S1hSvb/qq2+wDb/tKw7S+77a/KfAsrk8mCaylFgWtggDfi1aG14q01AwxyOSEErl27BoPB4LI6qFQqxMfHV/oXdsGCBWjZsiU++eQT+dywsDAMHToUX3zxBfr37y8f26pVK3Tq1KnU62g0Ghw5cgTHjx9Hx44dERwcjE6dOkGr1cLPzw9//PEH3n//ffz+++92123v3r2YP38+Hn/8cSxevNjmsxEjRuCLL76o1L3a6/Tp0wCAKVOmIDExUd4fHx+P+Ph4p5TpLhQKhc3PuHv37jh79iw+/fRTLF68uNQHjABsgovrGkfA07PsB5AkSVAoFLXiAUNUHle3/VVt9wG2/aVh21962//KK69Uab6FVfGVuuNiQmpN288hUuRyQggYDAaoVCr4+PjU+H8qlQoGg6FKvWjHjh3DnXfeafPLftdddwEAduzYYfd1rA9YX19fAICfn5/N/lmzZuHxxx9Hw4YN7b7mq6++iqioKCxcuLDUz++9916b7Z07d6Jjx44IDQ1FREQExo4di/T0dPnzcePGoUWLFjhy5Ag6duwIPz8/tG7dGt9++63NMUOGDAEANGnSBAqFAuvXrwdQ+mvy9evXo0mTJvD19cVtt92GEydOlFrX48ePo0+fPggMDERAQAAGDBhgM4zAnrpZ/fjjj7jnnnsQEhICf39/tGnTBps2bapUeZURGBgIo9EIo9EoBxfHjx/H0KFDkZCQgJDgYAzs3wsfrH8XzRJtg4sHH3wQN954I3744Qd07twZISEhuPnmm3Ho0CGbB5U938e//voL9957LyIiIuDr64vExETMnj27SvdE5AiubPur0+4DbPvZ9lcsICAARqPRZjiste1v3LgxQkJC0KZNG7z55ps2b5SEEBg/fgJatmyFLdv2YOT99+CW9tdh1PC7cejQIZt/c+7c9jPAILdhje5r+r/q9AR4enrC29vbZp+1d+HPP/+02T9gwAB4enoiJiYGDz30EHJycuTPwsLC0KRJE6xcuRI5OTlYsWIFrrvuOoSGhuLTTz/F5cuX8dhjj9ldL7PZjMOHD6N3794l6leaL7/8Ev3790d8fDw++ugjLF68GF999RV69OgBvV4vH5eeno7Jkydj5syZ2Lp1KwIDAzFw4EBkZxf1wD/33HN44YUXAABbt27FDz/8gHvuuafUMnfv3o3x48fjlltuwbZt2zB06FAMHjwYFovF5rjjx4+ja9eu8PLywocffogNGzbg8uXL6NWrl03PZ0V1A4AffvgBXbp0QXZ2NlatWoXPP/8cY8aMweXLlytdXnnfe7PZjMLCQnz11VfYsGEDBg4caNN7deXKFbRr1x5zn30Rb618H/cNuh/vrnpT/t4Vl5GRgWnTpmHq1Kn4+OOPERQUhMGDB8v3Ze/38d5770V6ejpWr16N3bt3Y968eTCbzRXeD5GzuaLtr24PMNt+tv2lfe+tbf+ePXvw4YcfYuDAgTb/3q5cuYIOHTpg+fLl2L59O8aOHYuFCxfihRdegMFoxoXLWThzPgOFGgMyMjLw3LOPY8QD47HmvQ8QFBSEQYMG1Z62X9QjcXFx1Tr/7NmzDqpJ7eKo+zabzeLUqVPCbDbb7LdYLOLs2bPi6tWrIikpqcb/u3r1qjh79qywWCw29dLpdBXeU4cOHUSvXr1s9h06dEgAEM2aNRNCCPHLL7+Ixx57THzxxRdi//794sUXXxSBgYGiTZs2wmg0yud98803IiQkRAAQoaGhYv/+/UKr1YqGDRuKHTt2VOp7nZqaKgCIp556yq7j27VrJ9q2bSskSZLv+8iRIwKAWLNmjRBCiLFjxwoA4tdff5XP++uvvwQA8eGHH8r7Nm3aJACIixcv2pQxb948oVKp5O1OnTqJm2++2eaYFStWCABi3rx58r5u3bqJDh062Px8kpOThY+Pj3j77bcrVbfbbrtNNG/e3Ob7XpxOp7OrvNLMmzdPoGjEk81/d955p8jLyxMGg0H+LyMrT5z886o4+edVceKPK6KwUCMWLFggoqKibI4bPXq0ACCOHTsmdDqdsFgsJe7Lnu9jRkaGACA+//zzMu+7NGX9ztY2bPurpi63/WW1+0Kw7a9vbb/1vmui7S/+n16vFxrNv22/9Zlw8s+rYsB9QwUAcejQ90Kv1wtJkhze9pf379wRbT/fYBBVw6xZs/Dtt99i8eLFyMzMxK+//opp06bB09NT7q1u27YtXn31VfTr1w/du3fH3LlzsXHjRpw4cQKfffaZfK1evXohNTUVf/31F1JSUtC9e3e89NJLaNWqFe69917s2bMHLVu2RFBQEAYMGICMjIyyqiW/9renl66wsBC//vorhg0bZnP8rbfeikaNGtlMNoyKipIzgwBAs2bN4OnpiatXr9r9PQOKUrT+9NNP8it1q/9u63Q6HD58GPfffz8kSZJ7iCIjI3HjjTfi+PHjdtdNq9Xihx9+wOjRo6FUKkutV2XKK423tzd+/PFHHDt2DAcOHMDbb7+N33//HUOHDpV/JucuZeL0mStY/NJ83HXHrejQJhEBAf54/vnnkZ6ejtzcXJtrRkVF4aabboK3d9FKrcXvy97vY3h4OBISEjB37lysX7/epteOiCqPbT/b/uKsbf/Ro0exf//+Utt+AMjJycGjjz6KZs2aISAgAP7+/7b9+flFE7mbNo5AUGBRZrKbb24vJ/OobW0/Awyiahg1ahSefPJJPPfcc4iMjETHjh3Rs2dPtGnTBmq1uszz+vXrB39/f/z00082+1UqFVq0aAGVSoVLly5h2bJlWLp0KTIyMjB06FDMnTsXV65cgclkKncMZUREBHx8fHDlypUK7yE3NxdCCMTExJT4LCYmxuY1c2hoqM3n1jUYir9Kt0dGRgbMZjOioqJs9kdGRtrMLcjOzobFYsETTzwBpVJp89+PP/5oc38V1S0nJweSJCEuLq7MelWmvNIoFAq0adMGN910E2655RZMmDABS5Yswd69e7F7927k5OlgNkt47pk52PnFZ3j44Vn44osvcOTIETz11FMAYPO9FEIgJCQESqVS/r4Uvy97v48KhQJff/01brrpJsyePRsJCQlo1aoVtm3bVu79EFHp2Paz7S9OoVCgdevWaN26NW699dYSbb/Vgw8+iA8//BDTp0/HF198gW1f7MWkyTOLPhQWNIwLhZenR51o+5lFiqgaFAoFXn75ZTzzzDO4ePEi4uLiEBwcjPDwcMyaNcuu88syZ84cTJs2Dddddx2++OILqFQqjB49GgAwdepUjB8/vsxzvby80KVLF3zzzTcwmUxl9toAQEhICBQKBVJTU0t8lpqaiubNm1d4H5UVGRkJLy8vm4mEQNHDp/hkt5CQEHh4eODxxx8v0TMDQE6DaI/Q0FB4eHggKSmpzGOqU561l8psNtukv2zRogUA4NSpU2jd7jYYDHp8d2gfXnjhBZs/FHbt2lXq9RQKRZmLKdn7fQSApk2bYtOmTbBYLPjxxx+xaNEiDB06FKdPn67zGV6IHI1tf9XU5bbfur6FVfG2/+6774Zer8fu3bvltl8IgTPnM+DpVRSANIwLgZ+v0qbtLyvrlCPa/pMnT9qkT3Y0vsEgcoDAwEDcdNNNCA8Px7p166DX68t9COzYsQMajQYdO3Ys9fNvvvkGP/74I5555hkA/2ZbsU7e0mg0FdbpscceQ1paGp5//vlSP9+5cyeAokwXbdu2xSeffGLzKvfo0aO4fPkyunbtWmFZleXp6Yn27dvbDBMAUGLb398ft912G/7880906NChxH+VeQD6+fmhc+fO+OCDD2AymUo9pqrlSZIkN+r/nUB66tQpAICvXxAKCg0wGo2wWCw2WVUsFgs2b94sb4t/1gaoKKWhvd/H/57TqVMnLFq0CBaLBX///Xe5ZRBR2dj2V05db/uLs7b9ERERACD/HK1t/9XkXFgsFuze9bl8jvXnUBNt/9mzZ8sto7r4BoOoGn7++Wd8/fXXaNu2LcxmM7755hssW7YMb7zxhpwHfNSoUUhMTES7du0QEBCAH374AYsXL0aHDh0wePDgEtc0m82YNWsWXnvtNfj7+wMAOnXqBCEE5syZg7vvvhuLFi3CHXfcUW7d+vTpg3nz5uF///sf/vrrLzzwwAOIiYlBcnIyPvvsM2zZskVuGBcsWIB7770XgwcPxpgxY5CTk4NnnnkGLVu2xAMPPODg71qR5557Dv369cPIkSMxZswYnDlzBkuXLoWXl22z9Prrr6Nbt24YOHAgRo0ahYiICKSkpODAgQPo2bMn7r//frvLfOWVV9CjRw9069YNs2bNQlRUFP744w/odDo8+eSTVSqv+AJKQggcO3YMAGAymfDXX39h0aJFiIyMQsdbugMAwsJCcfPNN+P1119HZGQk/Pz8sHLlSpusHkIIuxfRs+f7+Ntvv+GRRx7BsGHD0KRJE+j1eixbtgwhISElVhUmooqx7a86d2v7rW+SK1uexWKpsO2PiYnBgAEDAADBwcFy2x8REYGcfDM2fbQOHoqioMJ6HW9v7xpp+9u1a2f3968q+AaD3IYQQu4NqMn/ivfcVJa3tzd27NiBoUOHYujQofjhhx/w6aef2rwit453HDNmDO6++26sW7cODz30EL799tsSDSoAvPXWW4iOjsawYcPkfVFRUdi8eTP27t2LIUOGICEhAW+++WaF9Zs/fz727NkDk8mEqVOnomfPnpgzZw6USiWOHDkiH3fPPffg888/x5UrVzB8+HA89thj6N27N/bt21cif7mj3HPPPXjvvffwww8/4L777sOmTZuwZcuWEsOBOnbsiB9++AFCCEyaNAl33nknnnnmGRgMBtx4442VKrNz5844dOgQAgICMGnSJPTv3x/r1q1DQkJClcqTJAlGoxFA0etso9GIrl27omvXrujTpw9effVVdOveAx989DmCgkMQExmIJo3C8f7776NFixaYMmUKpk+fjvbt2+OJJ56Qr+nl5VXmsKiqfB9jYmIQFxeHxYsXo1+/fhg7diw8PDywd+/eEmN4iWqaK9r+6rT7ANv+6qgLbb81uLAOhy2t7e/duzcOHTpkM0fE2vY/NGUKXpj/FFq1uklu+60dS/Yuxufubb9CVPe3rBaJj4/HtWvXqnz+uXPn0LRpUwfWqHZw1H1bh2NYMyFYCTddyVuv1zutgXVn9fW+AfvvXQgBi8VSYr5FacedOV+U8SU0xBfREeWPG7YGF6X98eFMZd13Wb+ztQ3b/qqp621/WSt519c2kPddMSEEzGYzLBZLuW1/eVLT85GbXzQBPbFROJReHvKbi6qs9F1V5d23I9p+DpEil1MoFIiPj692j1J161DdhZeofrDnAZNfaEB6ZgHM5n8n20WFB5R73cq+uSCq7Vzd9rPdp8oQQsBkMkGSpCoHAmazJAcXcTHBcnBRmTcXtQUDDHILbOipNqjoASMEkJ2nRUZmobzPy8sD8ergcv99u+rNBZGrse2n2qD4XLvqBALnLmUCAJRKTwT4e8vBRV3sWOLTjIjIDvY8YM5fzpTfWiiVnmjSKNyu6zK4ICJyT9ZF94CKszuVJyU9X/46IT60TgcXAAMMIqIKFZ/QV9YDJj2rUA4u4tXB8PfzrvC6HBZFROSe7J1rZw+D0Yy8f4ZGqaODoFCgTgcXAAMMIqIy2fuAMZosyM7RAgCiIwMR4K+q8Np8c0FE5J6Kz7VzxNyIrH+eD0qlJwL9vet8cAEwwCAiKlXx+RYVBRcXLmcBADw8FAgN9q3w2pIkwdPTs84/YIiIahtHzbew0ulNyC/45+1FVGC9eWvNAINqjPUPtHqUGZlqKUmSYDabK8wWYioWXACo1JwLT09Pt5/cav1ddfd6kntj20+1hXVto/KGw1bW5Ws5AABfHy8EBvjWiuDCEW1/3cqJRW7Nw8MDnp6e0Ov1rq4KUZmsvVcVBRfJqXk4Xyy4uC4xEp6e5Tep1jcXXl5eteKPdr1eD09PzzqXPpFqFtt+qg0sFoscXDiqfbbOuwCABnFhtSK4ABzT9vMNBtWoyMhIJCUlIS4uDj4+Pm79R5YkSbBYLK6uRo2rr/cNFD1grH8EeXh4QJKkUo8r0BiQ988rb4Wi6M2FAgKSVHYPrTW4UCgUbvf9/e/PXAgBvV6PpKQkrvRNDsG23/3V5/s2GAzy2kaAY962JaXmolBjAgCEh/pB6eXpVt/f0n7ejmz7GWBQjQoNDQUAJCcnu9UvWmlMJhOUSqWrq1Hj6ut9Wydzlzd0SZIEcvN1MBiLUhYG+KkQGKDCxYt5ZV5XCCGP5XXX3qvSfuaenp6IioqSf2eJqoNtv/urj/dtnWtnfWtR3cBXEgKFhQZodEZ5n5enB7w9glGQl17d6jpUWT9vR7X9DDCoxoWGhiI0NBSSJLn1mNwLFy4gMTHR1dWocfXtviVJQnZ2NnJycmAwGBAREVHqcRZJ4I4Rb8vb/v4q7HhvQrkPJCEENBoNgoKCEBUV5ba9tv/9mTty/DGRFdt+91bf7ttsNiM9PR3Xrl1DfHx8tdvnwz9exPOv7Za3hRBY9sIQ9Ly9TTVr6hyl/bwd2fYzwCCXcfc/YBQKhdv2ODtTfbpvk8mErKws5OXlISAgAFqttsx/l7sPnILBWNTz+tHy0WjcIKzca0uSBK1Wi7CwMERERLj1v/f69DMn13Pn3wWg/v4+1Kf71uv1SE9Ph8FggEqlqvZ9S5LAky/uLNoQwPIX+uP2Ti3d+g2ws3/eDDCIqF7S6XRITk6GJEkICAgoOw2t0YwJj30sT+h+alqvCoML65uLiIgIhIWFue2bCyKi+iY/Px+pqanw8vKCv78/CgoKqnW9q8k5uH/qB/L2rg/GoWGDeAQGBla3qrUaAwwiqnc0Gg2Sk5OhVCrh61v2uhU/nbyKmc9vlbf7dm+Bu3q0KPfaQggUFhYiKCgIoaGhDC6IiNyAEAI5OTnIyMiAr69vtRc5lSSBfd+fxXPFhkWtWTwI6pjoeh9cAAwwiKiesfZeqVSqMic0/n46Bbv2/YXtX/0u73v7xSFo0yqu3GtLkgSNRoPQ0FC3HxZFRFRfCCGQmZmJ7Oxs+Pn5VXtoUFaOBuMe2YTMHM0/BQBbV49Ck8YNEBISUv0K1wEMMIioXrBYLMjOzkZ2dnaZvVdCCIyc+SEuXvl3fYvoiEB89u44eFWwxgWHRRERuR+j0YjMzEwUFBTA39+/2h0/Or0J/catkbfHDO6AkQNuRHx8HN9cFOMW3Wsvv/wyYmNj4efnh/79+yM1NbXMY//880/ceeedCAkJQXh4OAYNGoQrV67UYG2JqLYxm81ITk5GTk4O/P39Sw0uUtLzMXDyZjm4uKNLM3y6aiy2vzfBruDCOiyKwYX92PYTkTPp9Xpcu3YNGo0GAQEB1QouCjQGPPXSTvQctlLet3X1OIwaeBOio6MYXPyHywOMdevWYeHChVi+fDmOHDmC/Px8DBs2rMzj+/fvj5CQEBw9ehT79u1Dbm4uRo4cWYM1JqLaxGg0Ijk5GQaDodQHjNFoxqMLPsegSevkfUueH4AFj92FeHVIhdeXJAmFhYUIDQ1FdHQ0gws7se0nImfSarVISkqCQqGAv79/tdvm/y35CgePnpe392yYhEA/T0RHRyMsrPzEH/WRy4dIvfXWW5g9ezYGDRoEAFi7di2aNGmCEydOoE2bNjbHZmRk4MKFC9iyZQtatCiaaPnII4/g/vvvr+lqE1EtYDAY5ExRfn5+JT6/fC0Ho2Z9CLOlaMXumMgArF0yEmEhJY8tjXXOBYdFVR7bfiJyloKCAqSmpkKpVMLb27ta1zKZLXh5xbf4/qeLAIrSlMfHBMJoNCImRs03F2Vw6RsMg8GAkydPomfPnvK+xMREJCQk4NixYyWODw8Px3XXXYcNGzbAYDCgsLAQmzZtwh133FGT1SYiNyeEQG5uLq5duwYhRKmZoi5eycLw6R/IwcWb8+/Dqhf72R1cWOdchIWFMbioJLb9ROQMkiQhIyMDycnJUKlU1Q4uLBYJI6ZvwK59fwEAggN90DA2GHq9HjExMQwuyuHSNxhZWVmQJAlRUVE2+yMjI5GeXnJJdQ8PD+zduxf33nsv3nzzTQgh0LFjR+zdu7fU6y9ZsgRLliyRt/Pz83Hu3Lkq1zczM7PK59ZmvO/6pS7ct0ajgVarhZeXV6nZQrbu+QsfbDkpb3/45iAE+HvbnQ9dCAGj0QhfX1/k5uYiLy/PYXV3her8zJs2bVrpc9j21w687/qltt+3EAL5+fkwGo1QKpXQaDR2nVdWu1+oMWLUw/+mKZ//SHfc1CIK165dQ0BAANLS0pCWluaIqrtEdX/eFbX9Lg0whBCVOl6SJEybNg0tW7bE2rVrYTQaMW/ePIwcORJffvlliePnzJmDOXPmyNvx8fFVehgWV93zayved/1SW+9bkiSkp6fDYrEgPDy8xHyL/AI9nnttN46fuAKFhwJNGoXjvdeGQ+X9b1MYExNTbhkWiwVarbbODYuqyZ852/7ag/ddv9TW+zaZTHKSCD8/v0q3y/9t901mCwY+tBwKj6LrLH76XtzSNh4mk6lOvblw5s/bpQGGNU/8f3usMjIySvRsAcC+ffuwf/9+5ObmQqVSAQA++OADxMXF4ffff8eNN95YI/UmIvdjsViQlpaGgoKCUlfmNhrNuHPUO/J2x9YNsWzBwEqVIYSAVqtFVFQUQkJC6kxwUdPY9hORo1gTeVgsFvj7+zvkmvOXfCV//fGKMYhXB0Gn0yE+Pr7U+XxUkkvnYKhUKrRu3Rr79++X9128eBGXLl3CLbfcUuJ4rVYLhUJh0ytp/VqSJOdXmIjckvUBU1hYWGpw8feFdHQbukLe/mj56EoHF8WzRTG4qB62/URUXdYOn6tXr0KSpFLn2lXVvu/PAgBWL74fcTGB0Ol0iI6OZnBRCS5PUztjxgwsXboU27Ztw8mTJzFx4kR06dIFbdq0QVJSElq0aIHjx48DAG699VaoVCpMnjwZp0+fxm+//YZJkyahSZMmuP766118J0TkCgUFBbh8+TKMRmOpwUVaZgHGPrJJ3t6xdiIaN6hcSkGLxSJni4qMjGRw4QBs+4moqoQQyM7OxtWrV+Hh4QEfHx+HXfvIP9mivDw90KxxOAwGA9RqNYKDgx1WRn3g8gBjwoQJePrppzFt2jR06tQJ/v7++OSTTwAUjak7c+YMtFotgKIJgLt27cKFCxdwyy23oEePHhBCYOfOndXOFEBEtU9ubi5SUlKgUqlK7b3af+Qs7pu4Vt4+8Ol0RIYHVKoM65wLa65zBheOwbafiKrCmikqMzMT/v7+8rBJR/ngs58AAPf2bgmz2Yy4OK7QXRUuXwcDAObOnYu5c+eW2J+QkFBiMuCtt96KgwcP1lTViMgNWXuvMjMz4efnV2qmqOS0PDz9yi55++Cn0+HtXbkmT5IkmzkX5Fhs+4moMiwWC9LT05Gfn1/qG+vqOvzjRZz8KxkQwKhBbRAbG8thUVXkFgEGEZG9JElCVlYWsrOz4e/vXyJTFFAUgMx8rii9YHiIH7auHl/p4KJ4tigGF0RErmU2m5GWlgaNRuOU4OLjHb9i6XuHAAE0jA9B8+sSGFxUAwMMIqo1jEYjsrOzkZeXV2ZwAQCDJ69HSno+AGDli0MqHVyYzWZ5Ul9wcDCHRRERuZBOp0NGRgYMBgMCAio3zNUeC978Crv3nwaEQHRkIL76aDaDi2pigEFEtYJOp0NycjIkSSq396pQY5CDi/892hcN40IrVY7ZbIZer4darUZQUFC1601ERFWXn5+P1NRUeHl5OSwNbXGvrz6Cwz9dBYRAx9YN8OGKSQ6dNF5fMcAgIren0WiQnJwMpVJZbirC7Fwt7hm7GgDQKC4Ufbo2r1Q5kiRBp9MxuCAicjEhBHJycpCRkQFfX194eTn2T1aLRcJ9D65FRmYhFAoFZozrjJkP9mVw4SAMMIjIrVl7r1QqFZRKZZnHnfo7FRMf3yxvr1g0uFLlmM1mmEwmREdHM2MIEZELCSGQlZWFrKysMhN5VFeP+1fCZLZAQGDOpC6YPLoXgwsHYoBBRG5JCIG8vDykpaXZ1XtVPLjY+9EUBPrbn7rQZDLBYDAgMDCQE7qJiFzImoY2Nze33Ll21fHuxh+Kggsh8NITPTFkQA8GFw7GAIOI3I4kScjOzrar98pksmDyk5/I299vmwUPD/snZRuNRpjNZsTHxyM5Obla9SYioqozm81IT09HYWGhUzJFXUvJxdAp7xdtCIGnZ/RExzaNGVw4AQMMInIrJpMJKSkp0Ol05fZeZWYXYurcz3AtNU/et/iZeysVXJjNZhiNRsTFxTFjCBGRC2m1WqSkpECSJPj7+zssuCjQGHD0l0u4kpSLNZuOFu0UAgP6tMKEkT1x5coVh5RDthhgEJHbMBgMSE5OhsViKXcehN5gwr3j35O3u3VqglvbJaDLzYl2l2UdFhUTE+OUzCRERGSfgoICpKamVpjIozIuXsnCgjf34vT5dNsPhMCuDyaiSWIjeHt7O6QsKokBBhG5BWsaWoVCUebbBCEEPt15Em+s+XdF5+3vTUB0ROUmZRsMBlgsFsTFxTG4ICJyoby8PKSmpjosU5TRaMb2r/6weU6ovL3w0AO34obmkbiucRTi4+MYXDgZAwwicrniaWjLavTNFgljHv4IF69kyfu2vDuu0sGFXq+HEALx8fEcd0tE5CLF09A6KlNUgcaAPiNXydseHgrs+fAhBPh5Q6vVwsfHBzExMeVmJCTHYIBBRC5lzRRVXhpaSRLoMugteXvujF7o16tVpeZbAEUTuq3BhUplf5YpIiJyHCEEMjMzkZ2d7bBMUSazxSa4eHpGb9zTqyU8PBTQarXw8/NDTEyMU1LeUkkMMIjIJSRJQm5url2LKG3c/rP89bOz7sA9vVpWujzrsKjY2FgGF0RELmI2m5GZmYm8vDyHpqEd98gm+es9GyYjOKhoLodOp4OXlxciIyMZXNQgBhhEVOPMZjNSUlKg1WorfMDsPXQGK9//HgDw8tx+6NapSaXL47AoIiLX0+v1SE5Ohtlsdmga2uxcLS78M3z2/TdHIjjIF0IIDotyIQYYRFSjjEYjUlJSYDKZys0UZTJZMHz6B0hOywdQNEmv6y32Z4my0ul08PDwQFxcHN9cEBG5iFarRXJyMjw9PREQEOCw67741jf44ps/AQAdWzdEs8aREEJAo9HA39+fw6JchAEGEdUYa++VEKLCdSemP7tFDi56dG6KRU/cXeneLo1GA5VKBbVazd4rIiIXyc/PR1paWrmJPCpr8xe/4s01h+Rtfz9vPPJgVwghUFhYiODgYERFRTllJXCqGAMMIqoRxXuvyhumdDU5BweOnsfvp1MAAOuXjEDzJlGVLk+n00GlUiE2NtYhqQ+JiKjycnNzkZ6eDh8fH4e0xa+s3IcdX/8BSRIAAB+VFx6b0gP39Gwpv7kICQlBVFSUw1cCJ/vxqUtETld8EaWyeq9OnkrClLmf2eyLjwmucnDh4eGBmJgYBhdERC4ghEB2djYyMzMdkoZWkgTWfXIc27/6Xd43vH9bzJ7YVS7POiwqIiKCwYWL8clLRE5lTUNbWu+VEAKXruVgy66T2LLrN3n/TS3UmDb2djRLjKx0eRwWRUTkWpIkITMzEzk5OQ7JFFWoMeCOYiloxw7piCmjO9uUp9FoOCzKjTDAICKnkCQJOTk5ZfZeCSHQ+b5lNvtaNYvBykWD4e1d+aapeO9VdHQ031wQEbmA2WxGRkYG8vPzHZYp6uH52+WvX3+uPzp3aCxvW4OLsLAwvrlwI3wCE5HDmUwmpKamlpmG9uzFDIx5+CN5e+yQjmiSEI47ujSvUnnsvSIicj2dToeUlBRYLBaHBBdCCGzb8zv+/DsVALD0fwNxc5uG8ucWiwVarRYREREICwtjcOFGGGAQkUMZDAYkJydDkqQSaWjNFgk9718Jk9ki73v/zZFo1rjyQ6GKs/ZehYeHM7ggInIBjUaD5ORkKJVKh6w3ZDJZMOSh9UjPKgQA3HfnjTbBhSRJ0Gq1iImJQXBwcLXLI8digEFEDqPX65GUlASFQgFfX98Sn4+Y9oEcXPTp2hyzJnRBeKh/lcuzDosKCAhgcEFE5CL5+flITU2FSqVy2Ny3YdM+kIOLEQPaYeb42+XPig+LYnDhnhhgEJFDaDQapKSkwNPTs9QF7SY8+jGupeYBAN57dRhaNoupVnkcFkVE5FpCCDkNra+vr8Pmvn20/RekpBetg7RswUB0bF32sChyTwwwiKjaKuq9+u74Bfx1Lg0A8Ma8AQ4LLjgsiojINYQQyMrKQlZWlkPS0AKAyWzBs4t349Cx8wCK0tAWDy7MZjN0Oh2HRdUCDDCIqMqEEHIa2tJ6r4QQGP/oxzhzPh0A0Ou269CpXUK1yuSkPiIi15IkCRkZGcjNzXVIGlqgqCPqiUVfyNvdOjWR17gAAKPRCJPJhNjY2BLz+8j9MMAgoiqpaBGlDz77EW9vOCJv39RCjfmP9q1WmWazGXq9HtHR0QgJCanWtYiIqPIsFgvS0tJQWFjosDS011JybYKLDUsfQNOECHnbYDBAkiTExcXBz8+v2uWR8zHAIKJKK28Rpf1HzuLpV3bJ20EBPnh57j1oe0N8tcvU6XTsvSIichGz2YyUlBTo9Xr4+/s77A3yqFkb5a+PbJ9lc12TySQHF47ITkU1gwEGEVWK0WhEZmamTe+V0WjG06/swvc/XbQ5dtTA9pg+7vYyrmQ/67CoyMhIBhdERC6g0+mQnp4Ok8kEf/+qZ//7r5nPbYXBaAYA7Fz/oE1wYR0WpVarGVzUMgwwiMhuOp1OXuPC2nt1+VoOhk//wOa4UQPbY9LITlVakfu/OCyKiMi1rHPtPD09HTpE6bV39uOn364CAKaPvd0mbTmHRdVuDDCIyC7FF1Hy9fWFEALHfr2Mh+dvl4/Zuno81FFBDiuzeO8V31wQEdUsIQRycnKQmZkJX19fh2SKAoqyRS1euQ87vz0FABh5XzuMGtRe/lyn00GhUHBYVC3GAIOIKmTtvbKmoc3L16HfuDUwWyT5mMNbZ8LT03HpYg0GAywWC3uviIhcQAiBzMxMZGdnOyxTlNXS9w7JwcXAvjdi5vgu8mdarRZKpRJqtRre3t4OK5NqFgMMIiqTtfcqIyNDTkP737cWowa2x8iB7RwaXFh7r+Lj49l7RURUwyRJQnp6OvLy8hwaXAgh8MLSvdi9/zQA4NlZd+CeXi3lz7RaLXx8fKBWqx22aB+5Bn96RFSq//Ze5eTp8PjCz+QF8wBg94bJCAnydWi5Op0Onp6eiI2NZe8VEVENs6ahLSgocFgaWqvnX9uDbw7/DQBo0SRKDi4AoLCwEIGBgYiOjnbYUCxyHQYYRFTCfxdRWvz2fny+9w/58xZNorD29eEOX+TOYDAAAOLi4kpdEZyIiJzHZDIhNTUVer3eocGFEALzXv83uCj+5gIoGhbl5+eHmJgYhw7FItdhgEFENoQQSE1NlXuv0jIL5eCiWWIknpl1B5o1jnR4ucUn9TG4ICKqWRaLBUlJSbBYLA5NQytJAtOe/gwn/0oGANzd8/oyh0UxuKg7GGAQkcxsNiMvLw8A5N6rgQ+uBQC0v6kBlr8wyCnlclgUEZHr6PV65ObmIiIiAr6+jh32uvS9Q3Jw8eqz/XF7x8YAioILDouquxhgEBGAopSwKSkpMJvN8PPzw9S5//Y4AcDjD/VweJnFe69iYmL45oKIqIZptVokJydDoVA4PLjQG0z4ZOcJAMAjD3aTgwtJkqDRaBASEoLIyEi+uaiDGGAQEfR6PZKTkyGEgNmiQOf7lsmfhQb74vEpPdEoPtShZVp7rwICAhATE8PeKyKiGlZQUIDU1FQolUqHZ22SJIEe96+Ut++/t80/+4uCi7CwMERERDh8Lh+5BwYYRPWcVqtFSkoKJAFMf3Y7Tp9Ng8KjqMF/5+WhuOn6WIeXaX3ABAcHIyoqir1XREQ1LDc3F+np6fDx8XF4cCGEwG0D/+2o+uTtMQCKhuHqdDpERkYiNDSUwUUdxgCDqJ4SQiArKws5OTlQKpV44Y2vceZ8OgAgOMgXG5c9gPBQx030s2LvFRGR65jNZmRmZiIvLw9+fn5OeXv894UM+ev3Xh2GBrGhMJlMMBgMiImJQXBwsMPLJPfCAIOoHiq+iJKvry+efXUPDh49DwBY9r+7cHO75k4pVwgBjUaDiIgIhIWFMbggIqpBJpMJKSkpMBgMDl+dGwAsFgmTn/wEp84WrZc0tF9rtGwWA0mSoNfrERcXh4CAAIeWSe6JAQZRPWOxWJCamgqNRoOf/0jDM4t3QZIEAKDdDfFoGOucnqXiw6L4apyIqGYZDAYkJydDkiSHpqGVr280o/vQFfJ2VHgApozqbDMsisFF/cEAg6geKd57ZRGemPvyl/JnCx7rizu6NEdqaqrDy+WwKCIi19HpdE7LFGV1/5T35a9XLBqMdjfEw2QyQa/Xc1hUPcQAg6ieMBqNSEpKgiRJ8PPzkzNFeXgosG/zNKi8ndMcWCwWaLVaTuojInIBjUaD5ORkKJVKp6wz9OW+U1i49Gt5+9NVYxGvDoHRaITJZEJcXJxT3piQe3OL1C0vv/wyYmNj4efnh/79+1fYg7pp0ybcdNNNUKlUiI2NxauvvlpDNSWqnfR6Pa5evQohBPYcPGeThnbzyjFOCy7MZjO0Wi1iYmI454JKYNtP5Fz5+flISkqCt7e3U4KLS9eybYKL/z3aF/HqEOj1elgsFsTHxzO4qKdcHmCsW7cOCxcuxPLly3HkyBHk5+dj2LBhZR6/YcMGzJgxA48++ihOnTqFnTt3okOHDjVYY6LaRavV4tq1a/Dw8MBr736HxW/vkz9764VBiFeHOKVco9EIg8GAuLg4vhqnEtj2EzmPEAK5ublISUmBj4+P0xYxHTF9AwCg9fWxOPDpdPTp2hxarRYKhQLx8fFOG45F7s/lQ6TeeustzJ49G4MGDQIArF27Fk2aNMGJEyfQpk0bm2NNJhMef/xxLFmyBGPHjnVBbYlql/z8fKSmpkLAE2+t/x5ffnsKADBj3O14YGB7p5Wr1+shhOADhsrEtp/IOawpyLOyspyShtZktuC7YxfwzOJd8r435t8HlbcXNBoNVCoV1Gq104Iaqh1c+gbDYDDg5MmT6Nmzp7wvMTERCQkJOHbsWInjf/75Z6SlpcFkMuGGG25AgwYNMHbsWGRlZdVktYncnrX36uTvZ7Hig2Po88C72P7V7wCAfr1aOjW40Ol07L2icrHtJ3IOawryrKws+Pv7O2WNi3mv77EJLl57tj98VEXBhZ+fH2JjYxlckGvfYGRlZUGSJERFRdnsj4yMRHp6eonjL126BKBo3O6yZcsQEhKCRx55BCNGjMDevXtrospEbk8IgezsbEx9ahOOnbhq89myBQPRsXVDp5Wt1WqhVCqhVqudMt6X6ga2/USOZ7FYkJaWhsLCQgQEBDhlztv5y5nYf+QcAGD62Nsx6K4b4eujhEajQUBAAKKjo50S1FDt49IAQwhRqeMlSQIAPPfcc7j77rsBAO+++y7atGmDq1evokGDBjbHL1myBEuWLJG38/Pzce7cuSrXNzMzs8rn1ma879pDCIHk1Cw8vGA3srJ1AICYyABMHd0Bra+PAYAKJ9IWFBRUqWyTyQRPT08EBQXhypUrVbqGq9XGn7kjVOe+mzZtWulz2PbXDrzv2kOSJOTn58NsNkOpVKKwsLDS1yiv7RdC4OW3D+PYr0kAgIQGIejdOQ75ednISDfA19cXCoUCFy9erPI9uEpt/Hk7QnXvu6K236UBRkREBDw8PEr0WGVkZJTo2QKA6OhoAEDz5v+uMmz9urSHzJw5czBnzhx5Oz4+vkoPw+Kqe35txft2fxaLBSd+P4vRj2yFQqGAwkOBhY/fhV63N6v0tWJiYip1fPFhUbX9zUVt+pk7Uk3eN9v+2oP37f6MRiNSU1Ph4eEBPz+/al2rtLZfkgSefuVLHD+ZDIWHArHRQfjwrTHw9FBAq9UiKioKsbGxDl8VvCbVpp+3Iznzvl36r0GlUqF169bYv3+/vO/ixYu4dOkSbrnllhLHt2/fHkql0qYnyvp1w4bOG/ZB5O7MZjP+PnsJAx9cK78WX79kRJWCi8rSarXw8vKqE8EF1Qy2/USOYTAYkJSUBKPRWO3gotTrG824beAyHDx6HgAwc3wXbHl3PDw9FNBoNPD394dara7VwQU5h8v/RcyYMQNLly7Ftm3bcPLkSUycOBFdunRBmzZtkJSUhBYtWuD48eMAgJCQEIwbNw7PP/88vvvuO/z222+YNm0a7rrrLsTHx7v4Tohcw2QyYd+hE7hz1DtycPHtx1PRvEnJnmBHEkLIGUPi4uIYXFClsO0nqh6dTodr165BCOGU4EIIgX7j1sjbKxYNxogBbSFJEgoLCxESEoKYmBjOuaBSuTxN7YQJE5CWloZp06YhNzcXvXv3xurVqwEU/eF05swZaLVa+filS5fikUceQf/+/eHl5YW+ffti6dKlrqo+kUsZDAbMfPpD7Dl4Rg4uDnw63WkL51lZgwtO6qOqYttPVHXOXp0bADZ/cQKFGgMAYN3rw9GiaTQsFgu0Wi3Cw8MRHh7OxVOpTC4PMABg7ty5mDt3bon9CQkJJSYD+vr6YtWqVVi1alVNVY/ILel0OiQnJ+Orf4KLjq0bYvEz/ZweXEiSBI1Gg5CQEERGRvLVOFUZ236iysvLy0NaWhpUKpXT0sHuPXQGS987BACY/MCtaNE0GmazGTqdDtHR0QgODmZwQeVyiwCDiConLy8fm7cfwaK39gMKBZolRmLZgoFOL5e9V0REriGEQE5ODjIyMuDr6wsvL+f8CXfyVBLmvb4HAHBdQgTGDe0Ik8kEg8EAtVqNoKAgp5RLdYvd/zoPHTqE66+/HpGRkc6sDxFVYPWH+/HCm7uhgAL45+/7qaNvc3q51t6ryMhIhIaGMrggIqohQghkZmYiOzsb/v7+TntzfPSXS3jkf58DAHxUXvhg6QMwGo0wmUyIi4uDv7+/U8qlusfuf6E9evTA119/LW8XFBSgf//++P33351SMSKyJYTAojd32AQXM8d3weGtM9GpXSOnlm0ymaDX66FWqxEWFsbggoiohkiShLS0NKcHF0IIObiIjgjEjnUPQq/Xw2KxID4+nsEFVYrdbzD+Ox7WaDRi586dePjhhx1dJyL6DyEE5szbhC27TkChUGDyA7di/P0310jZ7L0iInIN6+rcBQUFTludGwC++e5vvPjWv53In64aC7PZCIXCA3FxcVCpVE4pl+ouzsEgcnMZWfn44cfTcnBxR5dmNRZc6PV6CCEQHx8PX1/fGimTiIiKhqWmpKRAp9M5LbjQG0xY8u5BfPHNnxCSgMJDgTfmDYDRqIdKpYJarXbaRHKq2xhgELmpvHwdbh/wCvILdRBCQKFQoFWzGCx47K4aKV+n08HDg71XREQ1zWg0Ijk5GWazGQEBAU4po0BjQJ+R/2Zlu7FFFJYuGALJUrRoX3R0tNMmklPdx385RG6mUGPAgPHLcf5SBoQQEELgljaNcOP1aowa1L5G6qDT6aBUKtl7RURUw/R6PZKTk522gF5Sah5ef/cAfvj5krzvtWf7o0kDXwjJhKCgIERFRTEFOVVLpQKMDz/8ED/99BOAol8AhUKBt99+Gzt37ixxrEKhwOuvv+6YWhLVEzq9ETf0mAcAEJJAgL83Plk1FqHBjn/IlMVkMgEAYmJiGFwQEdUgrVaL5ORkeHp6wsfHx+HXNxjNGPLQenk7KjwASxcMREJ8GK5cuQIfHx8GF+QQlQow9uzZgz179tjs27JlS6nHMsAgsp8QAt8ePo0HH32/aFuS8PHKB9AovmbTQut0OigUCsTHxzttdVgiIiqpoKAAqampTl2de/KTn8hff7pqLOLVIRBCoLCwUH5rzeCCHMHuAOPixYvOrAdRvTZn/ifYtvtXAEUpCT9eUfPBhUajgUqlQnBwMOdcEBHVoNzcXKSnp8PHx8dp8x5eWv4N/r6QAQBYtmAg4tUhkCQJGo1GXpmbcy7IUez+l9SokXPz7BPVR0IILFq6qyi4EEDvLk3w5NSe8PevuYxNQghoNBr4+/sjOjoaly5dqrGyiYjqMyEEsrOzkZmZCT8/P3h6ejq8DJ3ehCEPrUd2rhYAMGJAO3Rs3VAOLsLCwhAeHo7CwkKHl031V7VCVY1Gg/z8fAQFBTE/PlElabQGtL9zIfQGEyAEbm4Tj+cfvrNGe5Csr8atk/qc8XAjIqKSJElCVlaWUxfQy8rRoN+4NfL2pJGdMGHYLbBYLNBqtYiIiODiqeQUlf7XfOHCBUyaNAlxcXEICgpCfHy8/P+HHnoI58+fd0Y9ieqU1Iw8tOo+D3qDCUIIPDG1K15//r4aDS4kSUJhYSFCQ0MRHR3N4IKIqIZIkoT09HSnr849ePJ6+etPV43FhGG3wGw2Q6fTITo6GuHh4QwuyCkq9dfMN998g0GDBqGwsBAqlQo33ngjAgMDUVBQgDNnzmD16tXYtGkTtm/fjp49ezqrzkS1WkGhHp3ueQlA0RuEda8NQbMmNTuxjr1XRESuYTabkZaWBo1G47QF9FLS8zHp8c0wGM0AgF0fTEJosB+MRiNMJhPUajUCAwMdXi6Rld0BRk5ODkaOHAkvLy+sXbsWI0eOtMlyYDQasXHjRjz66KMYOXIkTp8+jZCQEGfUmahW6zPiDQBFwcXOdWMRGhJUo8FF8d4r68Q+IiJyPpPJhJSUFBgMBqcsoCdJArOe34qff78m73v4wa4IDfaDwWCAxWJBXFycU9bXICrO7gBj/fr1yMrKwnfffYfOnTuX+Nzb2xvjx49Hs2bN0LVrV7z//vuYPXu2QytLVNtt+fIXpKTlQQiBTW8NR1hozf6BbzKZYDQaoVarERQUVGPlEhHVdwaDAcnJyZAkySnzVq8k5WDYtA/k7aAAH3zy9hgEB/napCB3xvoaRP9ld4Cxd+9e9O7du9TgorjbbrsNvXv3xp49exhgEBVz4MgZPPq/TyCEQOf2DdGoQVSNBhfsvSIicg29Xo+kpCQoFAr4+jo2S+B3xy5g9/6/sP+Hc/K+157tj9s6NgZQtHifl5cXYmNjub4R1Ri7A4w//vgDU6dOtevYbt264e23365ypYjqGq3OiHEPr4OQBNTRgXjtuftqNLjQ6/UQQrD3ioiohmk0GqSkpMDT09Ohawxt2v4LPt7xK9KzbNPLHvh0OlTeXhBCQKvVwsfHBzExMVAqlQ4rm6gilZqDoVar7TpWrVYjOzu7ypUiqmtadnsekiRBAWDLu+NrNLjQ6XTw8PDg6txERDUsPz8fqampUKlUDv0D/+DR81i27jt5u0/X5nhyWk/4+iihUCjkFOSBgYHMEkguYXeAodVq7Y68vb29odfrq1wporrkxaU75eBi23sTayy4sPZeqVQqqNVq9l4REdUQIQTy8vKQlpYGX19fh6cgf+qlnQCAbp2a4OW5/Ww+K746d1RUVI0mESGyqtS/eGabIbKfxSLhpp7zUaDRQwEFHpvSAzGRNZMWsPjq3DExMey9IiKqIc5cnfuR+dtx9NfL8vZLT91j83nx1bkjIiL4dxu5TKUCjMmTJ2P69OkVHmcymapcIaK6YvPnP8jBxf33tsHgu2+qkXLZe0VE5BqSJCEzMxM5OTkOXUBPCIHBk9cjJT0fAND+xnjc1fN6mwDCur5RZGQkQkNDGVyQS9kdYHTt2pX/WInsIIRAVlYWnnrxcygUCjw6uTuG3NO6Rspm7xURkWtYLBakp6ejoKDA4Qvobdn1mxxczJ7QBcMHtLP53Lq+UUxMDIKDgx1WLlFV2R1gHDhwwInVIKobJEnC5StJuHv0O/LDZUCfG2qkbK7OTUTkGtbVubVaLfz9/R3W/prMFtwzZjUKNAYAwCMPdsP997axOca6OndcXJxTFu8jqgrHzjoiqsesvVfdhrwlP1zWLB4GpdL58x/Ye0VE5BrFV+d25AJ6qzYcwfuf/Shv39ymYYngongKckevr0FUHXYHGBaLBc888wwSEhIwZcqUMo9btWoVrly5goULF3LsN9Ub1t6rRxdsl4OLta8Px/VNo51etrX3KjY2FoGBNTOJnIiInLM6t05vwssrvsXeQ2fkfdvfm4DoCNv2vfjq3I5cX4PIEewOMD788EO89tpr+PHHH8s97pZbbsH06dNxww03YOTIkdWuIJG7s/ZeTX9mC347nQoAmDW+S40EFwaDAZIkcXVuIqIaptPpkJyc7NDVuYUQ6Dlspbw9ZVRnjB3ascRxWq0WSqUSarWa6xuRW7L7FcPmzZvRp08ftG3bttzj2rZti7vvvhsbN26sduWI3J3BYMC1a9fwzXdn5ODihcfuwoj72lVwZvXpdDoIIRhcEBHVMI1Gg2vXrsHT0xM+Pj4OuWZqRgFGz/73b6flCweXCC6sKchVKhXi4uIYXJDbsjvA+Pnnn9GrVy+7ju3Rowd+/vnnKleKqDbQ6XS4du0aLifl4H9vfgMA6NSuEXp3aeb0srVaLby8vBAfH++whxsREVUsLy8PSUlJ8Pb2dtgf+J/tOomBD67F+ctZAICnpvVC+xvjbY4pvr5RbGyswxfvI3Iku/915uTkICIiwq5jw8LCkJOTU+VKEbk7jUZT9GrcwxOPLihaUTU8xA9vzLvPqeVaV+f28fGBWq3mA4aIqIYIIZCTk4OMjAyHrM5tMJpRqDHg7Q1H8OW3p+T9uz6YhNBg27fS1hTkISEhiIyM5BxXcnt2/3YEBwcjNTXVrmPT0tIQFBRU5UoRubP8/Hykpqbi5F/peGzhF/L+txYOdmq5QggUFhYiMDAQ0dHRXJ2biKiGCCGQmZmJ7Oxshyygd/pcGsY/+rHNvj5dm+N/j/Ytcaw1BXl4eDjCw8OZgpxqBbsDjJtuugk7d+7Ek08+WeGxX375JW688cZqVYzI3QghkJubi9TUNDz72tf46bdr8mevPN0PjRuEOa1s9l4REbmGJEnIyMhAbm5utYMLk8mCT3aewPL1h+V9g++6CQkNwkpdkNWagjwqKgohISEMLqjWsDvAGD58OKZMmYJ3330XkydPLvO4NWvW4Pvvv8eqVascUkEid2BdnTsjIxN9x6yT99/aPgGLn7kXXp7O+4Ofq3MTEbmGxWJBWloaCgsLq706d3pmIQZMfM9m36EtM6D0Kv1ttMlkgsFggFqt5qgQqnXsDjDGjx+PNWvWYOrUqTh8+DAmTpyINm3aICgoCAUFBfj111/x3nvvYePGjWjfvj3Gjx/vzHoT1Rhr79UPP/2N2fN3yvtXLhqMtjfEl3Nm9Vl7ryIjIxEaGsrggoiohpjNZqSkpECv1ztkde7iwcUrT/fD7R0T4eFR+jWLr87tyMX7iGqK3QGGl5cXvvzySwwZMgQffvhhqWlohRC4/fbb8dlnn3HyKdUJ1t6rQ0fP4MmX9sj7Nyx9AE0T7Et6UFXW3iuuzk1EVLOMRiNSUlJgMpmq/Qf+0V8u4ZH/fS5v7/9kGnxUyjKP5+rcVBdUKgqIiIjAgQMH8MUXX+Czzz7Dn3/+ifz8fAQFBaFVq1YYPHgw+vfv76y6EtUoSZKQnJwMvV4vBxfXN43GikWD4etT9sPBEdh7RUTkGmazGdeuXYMQolprDAkhsGv/X1i49Gt535LnB5QbXOh0Onh4eCAuLo6rc1OtVqXXDPfeey/uvffeco8xGo1cAIZqLZPJhOSUDGz8/C/kFxrl/TURXLD3iojINXQ6HfLy8hAVFVWtNYZ0epPNitwhQb74Yv2D5c7Xsy6gp1aroVQ69zlD5Gx2z0xNTEzEjh075G2NRoPJkyfjzJkzJY7duHEj/zCiWstisSA9PR2j52zH3u/O4uivlwEAsyd2dXpwodPpoFAoGFwQEdUwo9GI5ORkeHh4VOvtwSsr99kEF9PH3o5ta8aXGVxYU5D7+fkhNjaWwQXVCXa/wbh06RIKCwvlbb1ejzVr1mD48OFo3ry5UypHVNPMZjM2b/8ec1/+EgoUTb7bvHIMIsL84efr3Ddy7L0iInINvV6P5ORkAKjWGkNJqXnY/tXvAACllye2rRmP8NCyh7lag4ugoCBERUVxfSOqMzgTm+gfBoMBgyauxO+nU6BQKCCEwItP3oOGcaFOLde6Orefnx+io6OZIIGIqAZptVqkpKTAw8MDPj4+yMvLq9J1ktPyMOSh9QCAtq3isPLFIeUeb01BHhoaioiICK5vRHUK/5IhAqDV6tC5/yvIztVCoVDg3t6t8MCAFmjU0LlpaIUQ0Gg0CAgI4OrcREQ1rKCgAKmpqVAqldWaN3rqbBomPvbvytxLFwws93jr6twREREICwtjCnKqcxhgUL2Xk5uP+ye/g5x/gou5M3qh/x03IDU11anlsveKiMh18vLykJqaCl9f32q9Of5vcPHtx1PLXDwPKBqKq9frER0djZCQkCqXS+TOGGBQvVZYWIhe97+BrGwtoFDgf4/2RZ+uzp9TxN4rIiLXEEIgOzsbmZmZ8PPzq/Kb4/xCPX46eRXPLN4l79u3eVq5yUBMJhOMRiNiYmK4OjfVaZUKML766itkZmYCKJqQqlAosHXrVvzxxx82x/3000+OqyGRk2Rn52DoQ6v/CS6A9UtGoHmTKKeXa12dOzo6GsHBwQwuiIhqiBACmZmZyM7Ohr+/f6XfHFssEla8/z0+/vwXiP98duDT6VB5l/1nlcFggMViQVxcXLXW1yCqDSoVYGzYsAEbNmyw2bdy5cpSj+UfTeSuMrML8NHWI3ht1bdFmaIUwOC7b6qR4MK6OrdarWbvFRFRDZIkCenp6cjLy6tScAEAd41+FwUag7zd/qYGaNsqDhOG3Vzu3z3F1zeqzvoaRLWF3QHG/v37nVaJl19+GcuWLUNubi569+6Nd999FzExMeWek5+fjxtvvBFXrlyByWRi5h2yy5WkLHS5bzGEEPLDoKbeXBTvveLq3ERs+6nmWCwWpKamykk1qtIJeuCHc3JwsXLRYNx4fWy5C+dZ6XQ6eHp6IjY2lgsQU71hd8vcrVs3p1Rg3bp1WLhwIT744AMkJibi4YcfxrBhw3Dw4MFyz5s5cyauv/56XLlyxSn1orpHkiSsWPeNHFw8O+sO3N3z+hp528beKyJbbPuppphMJqSmpkKv18Pf379KbX6hxoC5L38JALi7x/Voe0PFGQatKch9fHwQExPD9Y2oXnF52pq33noLs2fPxqBBg9CmTRusXbsWhw4dwokTJ8o8Z9u2bTh9+jQef/zxmqso1WrW3qsv9v4OhUKB9UtG4J5eLWskuCi+OjeDC6IibPupJhiNRiQlJcFoNFY5uNBojbhj5Cp5+5lZd1R4jjUFOVfnpvrKpQGGwWDAyZMn0bNnT3lfYmIiEhIScOzYsVLPSUtLw+zZs7F+/XquGUB2MZvNOPP3Bby26ltodCYAQLPEyBopW6PRQKlUIj4+HiqVqkbKJHJ3bPupJuj1ely9ehWSJMHX17fS5wshsHbzMfQe8ba8b9OK0fDwKD9IkSRJXp1brVbz3yvVSy4dvJqVlQVJkhAVZTv+PTIyEunp6aWeM2nSJMyaNQvXX3890tLSaqKaVIulZ+ZjxtMf4ugvl+Seq3Y3xDv9zYW198rf35+rcxP9B9t+cjaTyYTk5GR4eHhUqXPnwuUsPDT3UxQWm9D9wZsjkRAfVu551vWNwsLCEBERwYQ3VG+59K8eIf6b5K1869atQ2ZmJubMmWPX8UuWLMGSJUvk7fz8fJw7d65SZRZnTdFb39TW+87N02HQ5A0QEFBAASEEXn+2Dxo3CLVrEb2CgoIqlSuEgNFohI+PDxQKBS5dulSl67hKbf15O0J9vffq3HfTpk0rfQ7b/tqhtt63xWJBfn4+JEmq0tCk1LQsTHn2a3n7wRHt0K9nMwCWcp8dkiTBZDLB398feXl5yMvLq0r1Xaa2/ryri/ddNRW1/S4NMKyrF/+3xyojI6NEzxYAHDx4EMeOHZOzMFgfUj4+Pli5ciUmT55sc/ycOXNsHkjx8fFVehgWV93za6vadt/nL6Vj8JTVgALwUHjgm01T4e9X+ewdFWW0+a/ivVfh4eG1dnXu2vbzdqT6eu81ed9s+2uP2nbfer0eSUlJCA8Pr9KcN0kSuG/Sx1D8Mwzqo7dGoXHD8ArPs65vFBMTg+Dg4EqX6y5q28/bUXjfjufSAEOlUqF169bYv38/evXqBQC4ePEiLl26hFtuuaXE8YsWLcJjjz0mb//444+YMGECfv75ZzRs2LDG6k3uzWAwoOeQ14veXCgU2LNhcpWCi8ri6txE9mHbT86g1WqRnJwMT0/PSg+L0htMmPjYZly4kiXv27F2IiLDAyo812g0wmQyITY2FoGBgZWuN1Fd5PKB4TNmzMDs2bPRvn17JCYm4pFHHkGXLl3Qpk0bJCUloVevXvjggw9w8803Iy4uDnFxcfK51tc7rVq14hh3AlDUe/Xqip1ycLH/k2nwUTk/e4fZbIZer0d0dDRCQkKcXh5Rbce2nxwpPz8faWlp8Pb2rvSwqNPn0jD+0Y/lbW9vT6x8cYhdwYXBYIAkSVydm+g/XN4yT5gwAWlpaZg2bZq82NLq1asBFE3SOnPmDLRarYtrSbWBVqvFH6fOYc2m41AoFJg9oUuNBBfW3iu1Ws3eKyI7se0nRxBCIC8vD+np6fDx8bE74DRbJIx75CMYTRZcTc6V929eOQbenga7hsdaU5DHxcUxBTnRf7g8wACAuXPnYu7cuSX2JyQklDsZsHv37pWeLEh1U0FBATZuOYyXlh8AFAo0bhiO4QPaOb3c4qtzs/eKqHLY9lN1CCGQnZ2NzMxM+Pn52Z0O9viJK5g9b5u8ndgwHA3jQvDsrD7w9/O2KwmIVquFUqmEWq3m6txEpXCLAIOoOnJzc3EtKeWf4AK4sYUaLzx+l9PL5QJ6RESuIUkSMjMzkZOTA39//0ol1CgeXHzy9hg0iA21+9ziq3Or1WoO0SMqA38zqNYq3nt1z7j1wD9zqt95eajTJ1hrtVp4eXkhNjaWvVdERDXIYrEgPT0d+fn5CAgIqFR7/9mXJ+Wvj2yfValzresbBQQEIDo6mgvoEZWDAQbVWjk5OUhLS8foRz6V9731wiCnBhfsvSIich0hBNLS0lBYWFjp4CI5LQ+vv3sAADC0X+tKnWtNQR4SEoLIyMham4KcqKbwryOqlXJzc5GZmYlVG39EZrYGAPDGvAHocFMDp5VpzXMeGBjI3isiohpmHRZVUFBQ6eDCYDRj8OT1AICYyEDMmdTd7nONRiMMBgNX5yaqBAYYVKsUHxZ14lQ6Pt/7JwDglaf7oVO7BKeVazKZYDAYEB0djaCgIPZeERHVoKoMixJC4MAP57Bj7584+utlef/Gt0bZXa5er4cQAvHx8fDz82NwQWQnBhhUawghkJmZiczMLPQds87msy43JzqtXGsa2ri4OPj7+zutHCIiKslsNiMtLU2e/2DvH/k//XYVT7+yy2bf5pVj4Odr37w5nU4HDw8PxMXFVXrhPqL6jgEG1QqSJCE9PR15eXn4dNef8v7JD9yKAX1ucFqvUvHeK19fX6eUQUREpTOZTEhJSYHBYEBAQMUL3wFFw6FWbTiCj3f8CgC4uU1DvPJ0P6i8vex+Vmg0GqhUKqjV6kov3EdEDDCoFijee+Xv74/3Pj4OAHjxyXvQo3NTp5VrMpnkRZTYe0VEVLMMBgOSk5MhSVKl3h53H7rCZvv15wfAy9O+Ya1CCHk4bHR0NBN5EFURf3PIrRXvvTKaPXDHwLfkz7rf2sRp5Wq1Wnh6eiIuLo5paImIaphOp0NycjIUCkWl3h7v+PoP+eu3XxyCNq3i7D5XCIHCwkKoVCrExMQwkQdRNTDAILdlMplw7do1ufeq94Cl8mfLFw52yrCo4mlog4KCGFwQEdUwrVaLpKQkKJXKSrXBaZkFeGn5twCAKaM6Vyq4sKahDQ0NhYeHB4MLompiKhxyS9aMIRaLBd7eKtxaLLj4auNDaH9jvMPLtC6i5O/vj9jYWGaKIiKqYQaDAampqZUOLnLzdbhv4lp5e8yQDnafa7FYoNFoEBERgcjISGaKInIAvsEgt2MdFqXT6bH3uwt47Z398mcvPXUPggJ8HF4mF1EiInKt4sOiKhNc5Bfocdfod+XtvR9NsTtIsK5vFB0djeDgYAYXRA7CAIPcinVS3+YvTuDtDUdtPtu0YjQS4sMcXqbFYoFWq0V4eDjCw8P5gCEiqmEajQbJycmVfnMBAHeOekf++p2XhyLQ376kHNb1jdRqNYKCgipVJhGVjwEGuQ29Xo+kpCScOptmE1xMH3s7Rg1q75Qyrb1XUVFRCAkJYXBBRFTD8vPzkZqaCpVKZXdK2P1HzuHpV7602bdz/YMID7Uv25TBYIDFYpEX0CMix2KAQW5Bq9Xi4Pe/YcrcrcA/f+THxQTjs3fGOa1Mg8EAk8nE3isiIhcQQiA3Nxfp6enw9fWtMCXs1eQcFBQa8Oqq/Th9Pl3eHx8TjNkPdrMruBBCQKfTQaFQID4+Hj4+jh9yS0QMMMgN5OXlYdiU1fjrbIYcXNzd43o8PbO308rUaDTw8vLi6txERC4ghEBWVhaysrLg5+dXYdamXsNWQqs32ezr07U55s+50+43z9a5dv7+/oiKimKWQCInYoBBLlVQUIgeQ99EVrYWUAB9u7fAk9N6wkflnJVTi2eK4iJKRESukZubi6ysLPj7+1eYVGPt5mNycNG3ewskxIehY5uGaHldtN3lWYOLsLAwREREcDgskZPxrytymddX7cHSNfuggAJQADPG3Y4HBjpnrgXw7wMmODgYUVFRzBRFRFTDig+L8vPzq7AdPnM+Has/KpqTV9X5eNZEHhEREQgLC2NwQVQDGGCQS/zy23mb4GLD0gfQNCHCaeUV770KDw9ncEFEVMMqOyyqUGPAuDmbABTNs6hKcGFN5BETE4Pg4OAq1ZuIKo8BBtUoIQROn72K+ya8AwUUuPeOVk6dawGw94qIyNUkSUJGRgZyc3PtGhZ18UoWRs78UN5+77XhlS7TaDTCZDIhNjYWgYGBlT6fiKqOAQbVGCEELlxKwp0jl8t/5D8+pYdTyzSbzdDr9YiOjkZISIhTyyIiopIsFgvS0tJQWFiIgICAcjt5snI0+PbwWbyx5qC8b8faiQgKrFy2J2sa2ri4OKahJXIBBhhUIyRJQmZmJqY//bH8cPn246lQKst/RV4d1t4rtVrN3isiIhcwm81ISUmBXq+Hv79/ucHFd8cv4IlFX9js+37bLHh4VO6tM9PQErkeAwxyOiEEcnJycODIKfx1LgMAsHnlGPj5Oi9FIHuviIhcS5IkpKeny8FFefIL9XJwERLki8en9ED3W5tWOrjQarVQKpVQq9VMQ0vkQgwwyKmEEMjOzsZX+09i7itfAQAaxYWiYVyo08rTaDTw9PRk7xURkYsUHxZlz1pDM5/bKn+9Y+3ESr/dtiby8PPzg1qtZgpyIhfjbyA5jXVYVGpqhhxcAMCmFaOdVp5Go0FQUBDCw8PZe0VE5AKVGRZltkh4/IUd+PtC0dvtnesfrHRwYc0UFR4ejtDQ0AqzUxGR8zHAIKewWCxITU3D6NkbcP5ytrz/h89nO6U8LqJEROR6RqMRqampMBqNdr25eGXFtzj662UAwJB7WiM8tOJzijOZTDAYDExDS+RmGGCQw5nNZqSmpqLH/SthNFkAAGEhfljw2F1OKc+ahjYyMhKhoaEMLoiIXMBgMCA5ORkWi8WuuW8Xr2Zj57enAABL/zcQN7dpWKnyrIk84uLi7ApmiKjmMMAgh5IkCSkpKfj8q9/k4GLFosFod0O8U8rjIkpERK5nNBpx7do1KBQKuxNrjJyxAQCQEB9W6eBCr9dDCIH4+Hj4+vpWur5E5FwMMMhhLBYL0tPTodVq8eo7hwAAT03r5bTgonjvVUBAgFPKICKi8lmHRSkUCrsSa+QX6nHnA+/I2x8sHVmp8nQ6HTw8PBAXFweVSlXp+hKR85W/lCaRnazDogoKCvD66u/l/f16t3RKeXq9HhaLBfHx8QwuiIhcxGAwICkpCSaTya7g4re/km2Cizfm3Qell/2TsjUaDZRKJeLj4xlcELkxvsGgajOZTEhJSYHBYMDRX5Px1cEzAICXnroHnp6OjWGtaWi9vLz4gCEiciGdTofk5GQoFAq7hyk99NSn8tdfbXwIQQH2pRK3zrULCAhAdHQ009ASuTn+hlK1WCf1SZIEPz8/PPfabgDATS3U6H5rU4eWZc0UFRwcjPDwcCiVSoden4iI7KPRaJCcnAylUmlXSvBL17IxYvoGebsyK3QzDS1R7cMAg6rMbDYjKSkJeoMZ3xw+j9ffPSB/tvLFIQ4ty9p7FR4ejvDwcGaKIiJyEeubC29vb7s7eooHF++9Ntzu4MKahlatViMoKKhK9SWimscAg6rEOixKkiS8vPIADh49L3+29H8DHTo0ytp7FRUVhZCQEAYXREQuYg0uvLy8KgwujEYz3tn4A3Z+c0red2jLDLvnXBgMBlgsFqahJaqFGGBQpVmHRZnNFsyatwOnzqYBAJY8PwA3t2no0OCCvVdERO6hMsOiXli6F7v2/WWz75Wn+9kdXBRPQ2vP5HEici8MMKhSdDodkpKS8OPJa3jq5d3y/kF33Yhb2yc4tCwuokRE5B7y8vKQlpYGlUpV4ZuLL789JQcXzRIj8eCITujUrpHdwQXT0BLVfgwwyG5arRZJSUl4Y833+LJYz9T7b4xAs8Qoh5UjhIBWq4WHhwcXUSIicrHs7GxkZGTA19e3wuxNS987hI93/AoA6NapCV6e28/ucqyJPHx9faFWq5nIg6gWY4BBdjEYDEhJSYFC4SEHF1NHd8b997aBj8pxDwEhBAoLCxEYGIiIiAi7spMQEZFzaDQaZGZmws/Pr8LsTUIIObiYOPwWTBh2i93lFE/kwUxRRLUfAwyqkMlkwrVr16BQKPDW+iPy/jFDOjq0HGvvVWhoKCIiIuDhwXUgiYhcRa/XIykpCSqVyq4/+I/+cln++sERnewux2w2Q6/XIzo6GiEhIVWpKhG5GQYYVC6NRoO8vDzExMRAp7dg257fAQDrl4xwaDnW3quIiAiEhYUxUxQRkYsIIZCTk4OCggLExcXZtajduDmbcOZ8OgBg2tjb7C7LOtdOrVYjMDCwynUmIvfCAIPKVFBQgJSUFOQXGvHEwx/jclKO/FmzxEiHlcPeKyIi95GZmYns7Gx4e3tXGFxYLBKGTnkfKen5AIAONzXA4Ltusquc4mlo/fz8ql1vInIfDDCoVDqdDmlpafj7Yg6mPb0Tin8WRUqID8Mb8wY47A2DwWCA2Wxm7xURkRvIy8tDdnY2/P39odFoKjx+1KyNcnDx7Ow7cE/PlhWeI4SQM0UxDS1R3cQAg0qw5jpf+cFRbN3zh7x/94bJCAlyTEYna6YoLy8v9l4REbmYdViUNVtUeXPgTCYLDh49j+de+zdV+YpFg9HuhvgKy7HOtfPz80N0dDQTeRDVUQwwyEZ+fj5SU1Px/c9X5eCidctovDR3gEODC41GA39/f8TExDBbCBGRCwkh5GFR/v7+FSbYeGLRFzj6678Tuhc9cXelgouwsDBERERwrh1RHcYAg2R5eXlITU2Fr68v5i/ZCwC4u8f1mDT8JoSFOOYNg/UBExwcjKioKGaKIiJyISEE0tPTkZubW2FwYTJbMO/1PXJwMWVUZwzrb1+qcrPZDJ1Oh8jISISGhjK4IKrjGGAQAODP01fw4ZbvkZWjw1cHz8j7H5vSA3m5WQ4pg71XRETuwzosKjc3FwEBAeW2yecvZ2LUrI3y9tB+rTF2qH2pyk0mEwwGA2JiYhAcHFztehOR+3OL7uOXX34ZsbGx8PPzQ//+/ZGamlrqcdnZ2Zg+fTqaNm0KX19fNGnSBC+88AIsFksN17hu+fP0Zdw1ajk+2nbCJrhY9MTd8PVxzCJ6RqMRGo0GkZGRDC6ICADbfleyDovKyMiAv79/uW2ywWi2CS7WLxmBOZO621WOTqeD0WhEXFwcgwuiesTlbzDWrVuHhQsX4oMPPkBiYiIefvhhDBs2DAcPHixxbHJyMjIyMrBs2TI0b94cp06dwsSJEyGEwPPPP++C2tduQghkZWXj9VVfQQEF/P288frzAxAdGYiYSMdldNLpdFAoFFCr1QgKCnLYdYmo9mLb7zqSJCEjI6PCYVF5BXpMeWYt0jIL5H37P5lm15AoayIPHx8fREREwNfXMXP4iKh2cHmA8dZbb2H27NkYNGgQAGDt2rVo0qQJTpw4gTZt2tgce8MNN+CTTz6Rt5s0aYJHHnkEn376KR8yVZCUko7O/V8v6rlSAE9M7YnWLWMdWoZWq4VSqYRarWa2ECKSse13DSGEHFyUNyzKYDRj7Jztcory6IhA/O/RvnYHFxqNBgEBAYiOjmYiD6J6yKVDpAwGA06ePImePXvK+xITE5GQkIBjx47ZdY3MzEyEhYU5q4p11i+/nS8KLlD08Hhyak/06dbcYde3PmBUKhXi4uIYXBCRjG2/a1iHRVUUXOTm69B96Ap5+6uND2H7exPs6oCSJAmFhYUICQlhlkCiesylbzCysrIgSRKioqJs9kdGRiI9Pb3C8y9cuIA1a9bgnXfeKfXzJUuWYMmSJfJ2fn4+zp07V+X6ZmZmVvlcd6LVajFg/AYoAAgAHywZiKAAVZnjnwsKCkrdXxYhBIxGI1QqFQDg0qVL1auwi9SVn3dl1df7BurvvVfnvps2bVrpc9j21zxrp49Op4O3t3eZi+hlZGsw6ckvis6BwDuL+kFbmAttYcVlSJIEk8kEf39/5OfnIz8/35G3UGPqws+7Knjf9Ut177uitt+lAYYQosrnpqen4+6778aIESMwfPjwUo+ZM2cO5syZI2/Hx8dX6WFYXHXPd7WsrCy89/Fxecztke2z7JpwHRMTY9f1TSYT9Ho9QkJCEBkZWevT0Nb2n3dV1df7BurvvdfkfbPtr1mSJCE1NRWSJCEyMrLMNv+1VfuxZfdv8rCoj94cjMTGDewqQ6/Xw2w2IyoqCsHBwbU+kUdt/nlXB++7fnHmfbs0wIiIiICHh0eJHquMjIwSPVvFZWVloXfv3ujQoQNWrlzp7GrWGfn5+bhw8Ro++vwkAGD2xK4OfQgYjUaYTCbExcVVmJWEiOovtv01pyiZRxYKCgrKHRb18Y5fsWX3bwCAAH8Vvlz/ILKz7evh1Ol08PDwQMOGDeHj4+OwuhNR7eXS7mWVSoXWrVtj//798r6LFy/i0qVLuOWWW0o9JycnB3fccQcSExOxfv36Wt9DXhOsuc6vXLmGIVM+AgB4KBQY3r+tw8rQ6/WwWCyIj4+vMJ86EdVvbPtrhiRJSE9Pl1foLm/OxdL3DgEAhvdvi68/mgJvb/v6HzUaDZRKJeLj4xlcEJHM5S30jBkzsHTpUmzbtg0nT57ExIkT0aVLF7Rp0wZJSUlo0aIFjh8/DqCoB/7OO++EUqnEsmXLkJmZidTUVGRkZLj4LtyXtfcqPT0db7x3BP/M6caWd8c5rAxrGtr4+HimIiQiu7Dtdy6LxYLU1FR5QndZAZnBaMZdo98FAHh7e2HWhC52XV8IgcLCQvj5+SE2NhZKpWPWTCKiusHlaWonTJiAtLQ0TJs2Dbm5uejduzdWr14NoGg8/5kzZ6DVagEAv/zyC3788UcAQKNGjeRrNGrUqNZOJHa2vLw8ZGVl4fCPV/HN4bMAgGULBiImqvrrUVhX5vb19YVareYDhojsxrbfeazZogoLCyt8o3zparb89e4PJtn19tlsNkOr1SIkJARRUVF8m0REJbg8wACAuXPnYu7cuSX2JyQk2EwG7N69e7UmB9YnQgjk5uYiPT0d7285gY3bfgEAtL+pATq2bljt61ssFmi1WkRERCA0NJQPGCKqNLb9jvffRfQqChgWv70PADBpRCf4+VacTtw61y42NhaBgYEcDktEpXKLAIMcyzosKisrCys3HMf2r/4AALS+PhZL599X7eubzWbo9XpER0cjJCSk2tcjIqLqs1gsSEtLs+vNBQBkZBXi1Nk0AECndo3KPRYoWr/EYrEgLi4Ofn5+DqkzEdVNDDDqoNzcXGRlZeFycqEcXIy8rx1mjrdvbG15DAYDzGYzYmJiEBRU/WFWRERUfdYVujUajd1Z/KbM/RQAEBcTjJbNyk5FLoSQM0VxMjcR2YMBRh0ihEBeXh7S09Px2+kMPLawaLGksBC/agcXQghotVoolUr2XhERuRHrsKi8vDy73lyYLRJmPLsFyWlFC+GtWDS43Gtbg5aoqCh4e1c8jIqIiAFGHVF8WJTeCDm48PT0wM71D1b72tYHTExMDDw9PR1RZSIiqqbKDosCgCcXfYGTp5IBAAP73ojoiMBSj7O2/WFhYYiIiOB8CyKyGwOMOsKaLcrTyxv9R60CUJSR9vDWmdW6riRJMBqNCAoKYrYQIiI3Yu1YKiwstGtY1Km/UzHx8c3y9lPTemHAnTeUeqzZbIbRaERkZCRCQ0MZXBBRpTDAqOWsw6LS0tLg6+uLLoNXyJ999dGUal3baDTCYDDAz88P0dHRfMAQEbmJymSL0miN6D3ibZt98+fciTu7tSj1eJ1OB0mSEBgYiLCwMIfWm4jqBwYYtVx2dnbRolOZOjz01AZ5/7bV4xHor6rydfV6PYQQiI+PR0pKCoMLIiI3IUkSUlNTKxwWdelaNt798Afs/+GcvK9v9xZ4ekZvKJWlD3XVarXw9vZGdHQ0rl696pT6E1HdxwCjFsvLy0NmZiaMZgXGPLxJ3v/YQz2qtZCedWXuuLg4ZgshInIjQghkZ2eXOyzqp9+u4uH522GxSDb7t62ZgJjIsudbaLVa+Pj4QK1Ww8uLfx4QUdWxBamF/jssauOm4/Jn322dCS/Pqs2TkCQJWq0WKpUKarWa2UKIiNxIRcOiTGYLVqw/jM1fnJD3tbshHs/NvqPcTiez2QydTofAwEBER0czkQcRVRsDjFooPz8faWlpUCpV2Pf9ebz/2Y8AgDWLh1U5uLCuzB0aGoqwsDD2XhERuRHrOhelpaLNyCrEYy/swN8XM2zO+X7bLHh4lD+81WQywWAwICoqCsHBwUzkQUQOwb8iaxlrcGE0K9BnlO2kvVbNy14oqTzW3itmCyEicj/WbFG5ubmlzrl4bOG/wYXSyxMrFg3GjS3UFV7XaDTCZDIhLi4O/v7+Tqk7EdVPDDBqkdzcXKSlpUHAE/3GrZb3PzG1J+69o1WVrqnX62GxWKBWq7kyNxGRm6loWNSps2n4+0JRcLH9vQllrmlRnHW+hXVlbl9fX6fUnYjqLwYYtYRGo0FaWhoUHkr0GfmOvH/9khFo3iSqytdUqVSIjY3lZG4iIjcjhEBOTk6Zby5MJgsmPvYxACCxYbhdwYV1Ze7g4GCEh4dDqVQ6pe5EVL8xwKgF8vPzkZqairRMHUY/vFbev+XdcYiNDq709YqvzB0dHc35FkREbsY6LCorKwt+fn4lggshBLoOWS5vb1j6QIXXtAYXYWFhCA8P53wLInIa/mXp5goKCpCSkoLsPCNGF0tFu3rx/VUKLqzzLawrczNbCBGR+8nMzER2djb8/f1LDQTmvb5H/vrTVWMrnMxtMBhgMpkQERGBsLAwzrUjIqdigOHGNBoNUlNT4ePjg+Gj/n1zcXjrTHhWIVuUyWSC0WiEWq1GYGAgHzBERG7GOiyqrODi7MUMzHh2K/IL9QCAhY/fhXh1SLnXtK5t1KBBA863IKIawQDDTVnfXKhUKnQdslLe/+3HU6sUXBgMBlgsFsTFxcHPz8+RVSUiIgfJzs5GZmYm/Pz8bIILIQT+vpCBcXP+fZM9cfgt6HV7szKvJYSATqeDl5cXYmNjubYREdUYBhhuSK/XIy0tDSqVCtOf3SbvX7FoMPx8K/eAsM63UCqViI+P52RuIiI3lZ+fj8zMzBJvLlLS8zFo0jqbY3eufxDhoWWnlrXOt/D390dMTAzn2hFRjWKL42a0Wi0uXLyCE3+m4PBPl/D76RQAwDsvD8VN18dW6lrFs4VERkZyvgURkZvKyclBeno6fH195eBCkgQeXfA5jv56WT7u3t6t8PiUHlAqy27PubYREbkaAww3YjAYcPnKNdwzdh1Q7HnQ/45WlQ4ujEYjDAYDwsLCEBERwQcMEZGbKiwsREZGBvz8/Gw6gr79/m8c/fUygoN8ERLog41vjapwiKxOp4PFYkFMTAyCgyufCISIyBEYYLgJvV6PS5euoO+oNcA/wcDzD/eBOioIbVrFVepaBoMBkiQhPj6+1PSGRETkHqxpyFUqlU1wsffQGTlT1L29WmL6uNsrvJZWq4W3tzfi4uI4HJaIXIoBhhswmUy4fOUqHlv0pRxcfLR8NBo3CKvUdawT+jw8PPiAISJyczqdTs4UaJ0jIUkC94xdjdx8HQCgY+uGeGh053KvI0kStFotfH19oVarOd+CiFyOrZCLGY1GnDl7AfeMXSu/aVjy/IBKBxfFJ/RFRUUxWwgRkRvTarVISkqCt7e3TUCw6fNf5OCi523XYdETd5d7Het8i5CQEERERHCuHRG5BQYYLmSxWJCWlobpz2yTg4u3XxxS6SFR1gdMeHg4wsPDOSSKiMiNGQwGpKSkwNvbG0qlUt7/5bensHz9YQDAq8/2x+0dG1d4HZPJBLVajaCgIKfWmYioMhhguIjZbMaGTw9i3utfyQHBxyvGoFF8aKWuo9frIUkSoqKiEBISwuCCiMiN6fV6JCUlQaFQyMGFxSLhnnFrkPfPm4u4mGDc2q5RudfRaDTw8vKS59oREbkTBhguoNUZ8PSLn2Lr7t/kgODRyd0rHVxY51s0aNAAKpXKGVUlIiIHMZlMSElJgUKhsJkjN2TK+3Jw8dCoWzFu6M1lXsO6tpG/vz+io6M534KI3BJbphqWnpmPjnctghACCoUCd3RphgWP3VWpa1jnW1gn9BV/xU5ERO7HbDbj2rVrkCQJvr6+AICff7+GGc9ukY9ZtmAgOrZuWO41dDodgoODERUVZbMYHxGRO2GAUYMeX/ApPvniJzm4WL5wMNrfGF+pa1gfMBEREQgLC+OQKCIiN2c2m5GWlgaz2Qx/f39IksCTL36Bwz9elI95alqvcoMLo9HI+RZEVGswwKgBkiSh78ilOHM+FUIIJDQIw/IXBiEiLKBS19Hr9bBYLIiOjkZISIhzKktERA5jsViQkpICvV4Pf39/AMD2r36Xg4setzbFE9N6IiTIt9TzhRDQarVy+nHOtyCi2oABRg24Z/RbcnAxvH9bPPxgt0qdL0kSdDodlEol4uLiON+CiKgWkCQJGRkZ0Ol0CAgo6lB6d+MPWPfJcQDAyPvaYeb4LmWeb7FYoNVqERgYiOjoaKagJaJagwGGk+3Z/wf++jsFQgisXzICLZpGV+p863yL4OBghIeHc74FEVEtIIRAdnY28vLyEBAQAL3BhB73r5Q/91F5YUY5q3ObTCbo9XqEh4cjLCyM8y2IqFZhgOFEH245imdf3g5JSOh+a5NKBxcGgwFGoxGRkZEIDQ3lfAsioloiMzMT2dnZ8Pf3x5bdv+H1dw7In82d0Qv39m5VZpuu0+kgSRLi4+PlYVVERLUJAwwneX3VXry1dh8kIaFVsxi89FS/Sp2v0+mgUCj4gCEiqmVyc3Pl4OKbw2fl4KJJo3C8/vwAREcElnqedb6Fj48PoqKiOByWiGotBhhO8N2xs0XBhSShTatYrHrpfrvPtQ6J8vHxgVqthre3txNrSkREjqTRaJCeng6FhxJT536G306nAABU3l74cNmoMs8zm83QarUICgrifAsiqvUYYDiYwWjG6JnvQUgS7ruzFZ6afofd51rH3IaFhSE8PJxjbomIahGdTofk5GSoVCr0G7cW+YV6AECfrs3xv0f7lnmewWCAyWRCbGwsAgMDORyWiGo9BhgOJITAfeOXQwgBAVQquNDr9ZAkCdHR0QgODuYDhoioFjEYDEhOTgagwIYtv8jBxXuvDkPLZjFlnqfRaODl5YX4+HimoCWiOoMBhgOt33wEp/7JGPXBmyPtOkcIAY1GA6VSiQYNGnDMLRFRLWM2m5GamgqFQoEdX/+F1ZuOAgA6tm5YZnBhTUEbEBCA6OhoeHnxcUxEdQdbNAdZsW4/Fq/cAyEEJg6/Bc0Soyo8x2QyQafTyUOiOOaWiKh2kSQJKSkpMBqNOPprEpat+w4AMHV0Z4we3KHUc6xDoqKjoxEUFMThsERU5zDAcID0zAI5uOh/RytMGnlruccLIaDX6yGEQExMDIdEERHVQkIIpKenQ6fT4cDRy1j01jcAiiZ0jxnSscTx/100lRkCiaiuYoBRTUajGTffvQhCCCgUCjw9s/x5F9YsUX5+foiMjISPj08N1ZSIiBzJupDer6fS5eBiyD2t8ejk7iWONZvN0Ol0XDSViOoFBhjV9MIbX0CSJCigwNcfTSn3WGuWqJCQEERGRvK1OBFRLVVQUIDMzEycv5KHJ1/cKe+fPbFriWP1ej0sFguioqIQEhLCN9ZEVOcxwKgGg8GIDz4tmsz33uvDEeBf9gRtrVYLhUIhpyEkIqLaSa/X49TpC3jm1b04ezETABAXE4zP3hlnc5w1iYdKpUJcXByTeBBRvcEAo4qEEBj84EoIFA2NatGk9End1kwhfn5+UKvVzBRCRFSLWTNG3T91I/DPm4iYyEBsXjnG5ji+sSai+ox/7VbRxcsp+O2vZCgUCnzw5kh4eJR85a3X62E2mxEZGYnQ0FC+FiciqsWEEMjMzMTr7x6Qg4t9m6fB10dpc4z1jbV1bQu2/URU3zDAqAKdTofuQ96EQqFAq2YxuK5xpM3nkiRBq9XC29sbDRo0gK+vr4tqSkREjpKfn48/T1/Bjq//AgA8O+sOm+DCOpE7ICAAkZGR8Pb2dlVViYhcyi3e2b788suIjY2Fn58f+vfvj9TU1DKPLSwsxPjx4xEUFITw8HA88sgjMJvNNVbX/EIdWnSZD2t/1Mtz77H5XKfTQaPRIDQ0FA0bNmRwQURUhtrU9huNRvx97jImPLYFAODp6YF7erUE8O9cC6PRiJiYGMTGxjK4IKJ6zeUBxrp167Bw4UIsX74cR44cQX5+PoYNG1bm8dOnT8fRo0fx9ddf49NPP8XmzZuxYMGCGqnrxavZuLHHfAgIQKHAsgUDEREWAKCo56qgoADe3t5o2LAhx9wSEZWjNrX9QgjcN34FBj/0Iay9S99sKsoaaDQaUVhYiMDAQDRq1IjrGhERwQ2GSL311luYPXs2Bg0aBABYu3YtmjRpghMnTqBNmzY2x+bk5GDjxo3YvXs3brnlFgDAwoUL8cQTT2DevHlOXQn7WnIOJj7+GQBAoVDgy/cnISzED0II6HQ6CCEQERGBkJAQrshNRFSB2tL2CyHQa8RqAEVtv7e3F/ZufAhKLw8UFhbCy8sLsbGxCAgIYGBBRPQPl3axGwwGnDx5Ej179pT3JSYmIiEhAceOHStx/M8//wwhBLp37y7v69WrF7KysnDu3Dmn1nXJu1/LX3+/bRZCg32h0+lQWFgIPz8/NGrUCOHh4QwuiIgqUFvafkmS8NZ7+wAhoIAC7702HPs3T4XZZIBWq0VYWBgaNmyIwMBABhdERMW4NMDIysqCJEmIirJN8RoZGYn09PQSx6enpyMkJMRmBdTIyEj5M2fauusXCCHwwRv3Q68vCiyUSiUaNGgAtVrN8bZERHaqLW2/VmfCkne/hgAwa8JtaBQbAI1GA39/fyQkJCAiIoKpx4mISuHSllEIUe3jy+s1WrJkCZYsWSJv5+fnV7m3a9roTij4f3v3HtbUff8B/B0QQiQgEpQJUuUyqk6Llwq103qDWVHLiqUPOBG1de1Q8NKtfWy1ghfsbHl06zPsFDXDdbrNS6djtcYSdZ2POp0yL+hEAa8TCaWC+MMA398f/JIfMUGTcAiXvF/Pw/PAOSfffD7J8Y3fc04O1ffh7dl0Wtzd3R2PHj3C7du37RqvM6moqGjvEtoF+3Y+ztp7a/oOCwuz+TGdJfsf6RuQ9EoEROP/YGxkIGprayGXy1FbW4vr16/bPF5nw38PzoV9O5fW9v207G/XCYafnx9cXFzMjkDdu3fP7MgWAPj7+6Oqqgp6vd54JMvwWEvbL1myBEuWLDH+3LdvX7t+GQLAu2lhKC4utvvxnR37di7O2jfgvL07su/OlP1rlz3L7HdC7Nu5sG/pteslUnK5HBEREdBqtcZlJSUlKC0tNX6Qr7nhw4dDJpPhyJEjxmUFBQVQqVROu3MQEXU2zH4ioq6t3e+jumDBAvzqV7/C3r17UVhYiDfeeANjxozB0KFDcevWLQwYMAAnT54EAPj6+mLGjBlYuHAhTp48Ca1Wi2XLliE1NZUfriYi6kSY/UREXVe7fzpt7ty5uHv3LlJTU1FVVYXo6Ghs3tx0S0C9Xo/Lly+jtrbWuH1OTg4WLFiA6OhodOvWDbNmzcKHH37YXuUTEZEdmP1ERF1Xu08wAGDp0qVYunSp2fL+/fubfbhPqVRCrVZDrVY7qDoiImoLzH4ioq6p3S+RIiIiIiKiroMTDCIiIiIikgwnGEREREREJBlOMIiIiIiISDKcYBARERERkWQ4wSAiIiIiIslwgkFERERERJLhBIOIiIiIiCQjE4//NaMuTC6Xo1evXnY/vqamBkqlUsKKOgf27VyctW/AeXtvTd9KpRKXLl2SuCJpMfvtw76dC/t2Lq3t+2nZ71QTjNbq27cvbt682d5lOBz7di7O2jfgvL07a9/WctbXh307F/btXNq6b14iRUREREREkuEEg4iIiIiIJMMJhg2WLFnS3iW0C/btXJy1b8B5e3fWvq3lrK8P+3Yu7Nu5tHXf/AwGERERERFJhmcwiIiIiIhIMpxgEBERERGRZDjBICIiIiIiyXCC0cxHH32EgIAAdO/eHa+88gr++9//trhtTU0N5syZA29vb6hUKixevBj19fUOrFY61vZdWVmJ+fPnIywsDAqFAqGhoVi1ahUaGhocXLF0bHnPDe7fv49+/fpBJpN1+ffcYMeOHXjuuecgl8sREBCAjz/+2EGVSsuWvi9cuIBJkybBx8cHKpUK8fHxuH79ugOrlcaePXswceJE9OjRw6p9titlm7WY/c6V/cx958p9wPmyv0PkviAhhBBbt24Vnp6eYvfu3eLMmTNi7Nix4qWXXmpx+1mzZokBAwaI48ePi6+//lr06dNHLF++3IEVS8OWvs+dOycSEhJEfn6+KC4uFvv27RO9evUSmZmZDq5aGra+5wazZs0SkyZNEgCEXq93QKXSsrXvvLw84evrK9RqtSguLhanT58WBQUFDqxYGrb2HRISIl5//XVRVFQkzp49K8aPHy9++MMfOrBiaWzfvl2sXr1aZGVlWbXPdpVssxaz37myn7nvXLkvhHNmf0fIfU4w/s+wYcPE+++/b/z56tWrAoA4c+aM2baVlZXC1dVVHDx40Lhsy5YtQqVSifr6ekeUKxlb+rYkKytLDBs2rI2qa1v29L5nzx4RGRkpDh061Gl/0djS96NHj4S/v79Qq9UOrLBt2NJ3eXm52bp9+/YJDw8PB1TaNrRa7VP32a6UbdZi9jdxluxn7jdxltwXwrmzvz1zn5dIAairq0NhYSEmTJhgXBYSEoL+/fvjxIkTZtufPn0aQgiMGzfOuGzixInQ6XQoLi52RMmSsLVvSyoqKuDr69tWJbYZe3q/e/cuFi5cCLVaDVdXV0eVKil79vW7d+9Cr9dj8ODBCAoKQkpKCnQ6nSPLbjVb+1apVPj+97+P7du3o66uDjU1NdixYwdiYmIcWbbDdZVssxaz37myn7nvXLkPMPut0Va5xgkGAJ1Oh8bGRvTu3dtkea9evVBeXm62fXl5OXx8fODm5mayrWFdZ2Fr34+7du0acnNz8eabb7ZViW3Gnt7nzZuH9PR0DBw40BEltglb+y4tLQXQdP3qunXr8Mc//hGXLl1CUlKSI8qVjK19u7i44ODBgzh48CC6d+8Ob29vXL16Fdu3b3dUye2iq2SbtZj9zpX9zH3nyn2A2W+Ntso1TjAACBv/1qCl7WUymVTlOIytfTdXXl6O2NhYJCUlITExUcKqHMPW3rdt24aKiopO/xc/be27sbERALB8+XLExsbixRdfxKZNm6DRaHDjxo22KLFN2NN3amoqBg0ahOPHj+Pvf/87vLy8MGPGjDaqsGPoKtlmLWa/7Tpz9jP3rdNVch9g9lujrXKtW6tH6AL8/Pzg4uJiNlO7d++e2awXAPz9/VFVVQW9Xm+c8Rkea2n7jsrWvg10Oh2io6Px/PPPIycnp63LbBO29n7kyBGcOHEC7u7uAP7/H6SHhwdycnLw05/+tO2LloA9+zoAPPvss8Zlhu9v3LiBoKCgNqxWOrb2XVBQAK1Wi6qqKsjlcgBAXl4eAgMDce7cOQwZMsQhdTtaV8k2azH7nSv7mfvOlfsAs98abZVrPIMBQC6XIyIiAlqt1rispKQEpaWliIqKMtt++PDhkMlkOHLkiHFZQUEBVCoVwsLCHFKzFGztGwC+/fZbxMTEICQkBGq1Gi4unXMXsrX3NWvWoLCwEGfPnsXZs2eRm5sLoOnaxYSEBIfV3Vq29j1ixAi4ubmZXIdp+P6ZZ55p+4IlYmvftbW1kMlkJvu34XvD0b2uqKtkm7WY/c6V/cx958p9gNlvjTbLNbs/Ht7FbNmyRSiVSrFnzx7jbcnGjBkjhBDi5s2b4tlnnxUnTpwwbp+cnCwGDRokTpw4IQoKCkRAQECnvFWhLX1/9913YuTIkSIyMlKUlZWJO3fuiDt37ojy8vL2bMFutr7nzVlzZ4aOyta+582bJ4KDg8XRo0dFYWGhGDNmjJg8eXJ7lW83W/ouLy8XPj4+Yvbs2aKoqEgUFhaKqVOnitDQUFFXV9eebdhMp9OJM2fOiM2bNwsA4tSpU+LMmTOiurq6S2ebtZj9zpX9zH3nyn0hnDP7O0Luc4LRTFZWlvje974nPDw8xNSpU8WdO3eEEEKUlJQIAEKr1Rq3ra6uFikpKcLLy0v07NlTLFy4sFOGjhDW920I18e/+vXr137Ft5It73lznfkXjRC29V1bWyveeust4ePjI/z8/MTMmTOFTqdrp8pbx5a+jx07Jl566SXh7e0tfH19xZQpU0RRUVE7VW6/bdu2Wfx3q9Vqu3y2WYvZ71zZz9x3rtwXwvmyvyPkvkyIVnzai4iIiIiIqJnOdxElERERERF1WJxgEBERERGRZDjBICIiIiIiyXCCQUREREREkuEEg4iIiIiIJMMJBhERERERSYYTDOo01Go1ZDIZDh8+3N6lmOiodRkcPnwYMpkMarW6vUtpNZlMhtmzZ0s6Zv/+/TFu3DhJxyQi6XTUjO2odRkw+5+M2d+2OMFwYobwaemrtLTU4TWdPXsWGRkZuHTpksOfm1onIyMDO3fu7DDjNLdhwwZ89tlnko5J1Fkx+0lKzH6ypFt7F0Dtb+bMmZg0aZLZ8l69ejm8lrNnzyIzMxNDhw7FgAEDTNYlJycjMTER7u7uDq+Lni4zMxNxcXFITExss3EePnwIV1dXm8fcsGEDfHx88Pbbb5utu3z5MmQymV21EnVmzH6SArOfLOEEgzBixAjMnDnT6u31ej2EEA4Pe1dXV7sCpqN78OABPD0927uMTsHDw0PyMeVyueRjEnUGzP72xey3HrO/8+ElUvREGRkZkMlkOHfuHNLT0xEQEAC5XI6LFy8CAHJychATE4OAgAC4u7ujb9++mDdvHu7du2dxvB07dmD06NHw9vaGp6cnBg8ejA8//ND4XHPmzAEAvPrqq8bT9YbrLlu63rWkpAQzZ86Ev78/5HI5wsPDkZmZiUePHplsN3v2bMhkMlRWVmLOnDlQqVRQKBSYOHEiioqKTLatrq7GsmXLEBkZCZVKBQ8PDwwYMABr1qxBfX293a+n4ZrPU6dOITo6Gt7e3hg9ejQA4Pbt23jnnXcQEREBHx8fKBQKREREYOPGjWbjGN6XoqIiLFmyBH369IGHhweioqJw7Ngxq2r5zW9+A1dXV8ydO/eJPTU2NiI7OxuDBw+GUqmEl5cXwsPDkZqaCgAoLS01HgX6y1/+YnKphcHOnTsxbdo0BAUFQS6Xw9/fH0lJSbh27ZpxG2vGsXQdrlqtxvPPP48ePXrA09MTwcHBmDVrFh48eGB8TFlZGQoLCy1eBtLSdbhfffUVfvSjH6Fnz55QKBQIDw9HWlqa2X5F1BUx+5n9zH5mf2vwDAbhwYMHqKioMFmmUChMjqzMnDkT3t7eePfdd9HY2AhfX18AQHZ2NkaPHo1JkybBy8sLp0+fhlqtxrFjx/Cvf/3L5AjBz3/+c2RnZ2Po0KF499134efnh8uXL2P37t1YuXIl4uPjcefOHWzatAmLFi3CiBEjAAChoaEt1l5WVoaoqChUV1cjNTUVISEh0Gg0yMjIwD//+U/s37/f7BToyy+/jMDAQKxatQo3btzA+vXrERcXh6KiIuNRslu3bmHbtm1ISEhASkoKGhoa8NVXX2HZsmUoKSlBbm6u3a/39evXERMTg8TERLz++uvQ6/UAgH//+9/Yt28f4uPjERwcjNraWuzevRupqanQ6XRYtmyZ2VgpKSlQKpVYunQp7t+/j+zsbEydOhUlJSXo0aNHizUsX74cq1evxnvvvYePPvroifWuXr0aK1asQHJyMhYsWIDGxkZcvXoVBw4cANB0OcX27duRnJyMESNGYNGiRWZj5OTkwN/fH/Pnz4dKpcLFixeRm5sLrVaL8+fPw8/Pz6pxHpeXl4c5c+Zg6tSpmDt3Lrp164bS0lLs378f1dXV8PT0xPbt27F48WJ0794da9asMT72SZeBfPrpp0hPT0dISAjS09MRGBiIa9euYffu3Vi1ahUv1aAugdnP7H8SZj+zv1UEOS2tVisAWPyaP3++EEKIFStWCABiwoQJor6+3myMBw8emC3bunWrACB27NhhXHbs2DEBQEyePFk8evTIZPuGhgbj99u2bRMAxN69e83GNazTarXGZTNmzBAAxIEDB0y2ffvttwUAsWvXLuOylJQUAUCkpaWZbPvJJ58IAOLLL780LqurqxN6vd6shlmzZgkXFxdx69atJ9bVkn79+gkAYuvWrWbramtrRWNjo8myxsZGMW7cOOHt7S3q6uqMyw3vyyuvvGLymF27dgkAYuPGjcZlhvd527Ztor6+Xrz55ptCJpOJDRs2PLVeIYQYNmyYmDx58lO3AyDi4uIsrrO0nxQUFAgAYu3atVaPA0CkpKQYf3711VfFoEGDnlpbv379RERERIvrxo4da/y5rKxMuLm5iaFDh4rq6mqz7R9/j4g6G2Z/E2b/kzH7TTH7bcNLpAg/+9nPoNFoTL7S0tJMtlm4cKHFa2C7d+8OoOlUalVVFSoqKoynHE+ePGncbseOHQCArKwsuLm5mYzh4mLfbtjY2Ih9+/Zh5MiRZh9UNBzx2bt3r9nj0tPTTX4eP348AKC4uNi4zN3dHd26NZ3g0+v1qKysREVFBWJiYtDY2IhTp07ZVTMAqFQqpKSkmC1XKBTGI251dXXQ6XTQ6XSIiYnB/fv3Ld5dJS0tzeQonaVeDB4+fIjp06fjd7/7HT7//HMsXLjQqnp9fHxw4cIFnDt3zqrtLTHsJ0II3L9/HxUVFRgyZAh8fHxM9hNb+fj44ObNm/jmm2/sHuNxu3btgl6vx4oVK6BUKs3W80OB1FUw+5n9T8LsN8Xstw0vkSKEh4cjOjr6iduEhYVZXK7RaLBq1SqcPHkSdXV1JuuqqqqM31+5cgWurq74wQ9+0Op6De7du4eamhqLYwYGBqJHjx4m13kaBAcHm/xsOOWv0+lMln/66af47LPPcOnSJTQ2Npqsa96brUJCQiz+YtXr9cjKykJeXp7Fui09p7W9AMB7772H6upq/OlPf0JCQoLV9a5duxZxcXF47rnnEBwcjPHjx2Pq1KmIi4uz+j8Ip06dwvLly3H06FHU1taarGvNa/nBBx/g6NGjGDNmDPr06YNx48YhNjYWCQkJdn+A78qVKwCAiIgIu+si6gyY/cz+J2H2U2vwDAZZxXAUorkTJ05g8uTJ0Ol0+Pjjj7Fv3z5oNBrj9ZmPB7PUhBB2Pa6lu5E0H++TTz5Beno6+vXrh82bNyM/Px8ajQa//OUvAbSuN0uvJQAsXrwYGRkZGDVqFPLy8vDll19Co9Fg8eLFLT6nNb0YxMXFQaFQYN26dTYFe1RUFIqLi7Fr1y68/PLL+OabbxAfH48XX3wRDx8+fOrjy8rKMHbsWFy4cAGZmZn44osvcPDgQWg0GqhUqla9lqGhobhw4QLy8/ORmJiIixcvIjk5GUOGDMHdu3ftHpeImjD7mf3MfrIHz2CQ3Xbu3ImGhgbk5+ejf//+xuWXL1822zY8PBwHDhzA+fPnMWzYsBbHtOUUZO/eveHl5WW8q0lzt2/fxnfffYeQkBCrx2vu888/R3BwMP7617+aHKm5evWqXeNZ+5xjx47F73//e5PlX3/9tSTjT5w4EbNnz8a0adMQHR0NjUaDnj17WvVYpVKJ6dOnY/r06QCajmy9//772Llzp/HuLy354osvUFtbi/z8fJM7djx8+BDffvut3f0YyOVyxMbGIjY2FgDwhz/8AT/5yU+Qk5ODzMxMALbtV+Hh4QCa7sv/+FFCImL2S43Zbx9mf8fGMxhkN8MRlMePQli6M0VSUhKAptOahjtnGDQ/4mK47rGysvKpz+/i4oJp06bh5MmT0Gq1JuuysrIANN3y0B6G3prX9vDhQ/z617+2azxrn/Px1/LevXvYsmWLZM8xceJE5Ofno6ioCNHR0Va9zo/fZQaA8T8KzR+vVCotjtfSfrJu3TqLR7BaGsfa2oYPH251bZa89tprcHNzw8qVK1FTU2O23t6jp0RdBbNfWsz+J49jbW3M/o6FZzDIbj/+8Y+xfv16xMbG4q233oKrqyv2799v8cjECy+8gHfeeQfZ2dmIjIzEa6+9hl69euHKlSs4cOCA8UNkI0eOhIuLC7Kzs9HQ0AAvLy8EBwcjKirKYg1ZWVnQaDSYMmUK5s+fj+DgYBw6dAh79+7FlClTEB8fb1dv8fHx+OCDDxAbG4v4+HhUVlZCrVbDy8vLrvGsfc7NmzcjMTEREyZMwJ07d/Db3/4WzzzzTIv3lrfH+PHj8be//Q1TpkxBdHQ0Dh06ZLx+15KBAwdi1KhRiIyMREBAAG7evImNGzdCqVSavL4vvPACDh8+jNWrVyM0NBQymQyJiYmYPHkyFAoFkpOTkZaWBm9vbxQUFODUqVNQqVRmz9fSOJYY7lU+ZswYBAUFoaKiArm5uejWrRtmzJhhMmZubi5+8YtfYNiwYcb/oFj6I1dBQUHIzs5Geno6IiIikJycjMDAQJSVlWHXrl04fvw4fHx8bHjFiboWZr+0mP1PHscSZn8n0B63rqKOwXALu/Xr17e4jeGWeCUlJRbX//nPfxYRERFCoVCI3r17izfeeENUVFSY3VLOIC8vT0RFRQmFQiGUSqUYPHiwyMjIMNlGrVaLgQMHCjc3N5NxWrol4LVr18SMGTOEn5+fcHNzE2FhYSIjI8Pk1n5C/P+tCh9XUlIiAIgVK1YYl9XX14uVK1eK4OBg4e7uLkJDQ8Xq1auFRqMx3vbPwNZbFTa/LV5zNTU1YtGiRaJv375CLpeLQYMGiY0bN1oc/0nvy+OvffNbFTZ39OhRoVQqxdChQ0VFRUWLNa9du1aMHj1a+Pn5CXd3dxEUFCSSkpLE+fPnTbb7z3/+I2JiYoSXl5fxlpcGBQUFYtSoUcLT01P4+vqKhIQEUVpaavH1eNI4j/e2adMmER0dLfz9/YW7u7vo06ePmDZtmvjHP/5hMubdu3dFfHy86Nmzp5DJZCavXUvvSX5+vhg/frzw8vISCoVChIeHi/T0dLP9iqizYfY3YfYz+5n9bUcmBM/5EBERERGRNPgZDCIiIiIikgwnGEREREREJBlOMIiIiIiISDKcYBARERERkWQ4wSAiIiIiIslwgkFERERERJLhBIOIiIiIiCTDCQYREREREUmGEwwiIiIiIpIMJxhERERERCQZTjCIiIiIiEgy/wuP2GnOd9b1RQAAAABJRU5ErkJggg==", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "workflow.plot_custom_diagnostics(\n", + " test_data=test_data,\n", + " plot_fns={\n", + " \"recovery\": bf.diagnostics.recovery,\n", + " \"calibration\": bf.diagnostics.calibration_ecdf,\n", + " }, \n", + ");" + ] + } + ], + "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": "3.11.11" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} From 5fc65c99f543d56f8a57ece5a95b4e013cd67226 Mon Sep 17 00:00:00 2001 From: Valentin Pratz Date: Thu, 24 Jul 2025 06:56:17 +0000 Subject: [PATCH 2/2] fix scaling of field [no ci] --- examples/experimental/Spatial_Data.ipynb | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/examples/experimental/Spatial_Data.ipynb b/examples/experimental/Spatial_Data.ipynb index e3ab224c4..91596e655 100644 --- a/examples/experimental/Spatial_Data.ipynb +++ b/examples/experimental/Spatial_Data.ipynb @@ -112,8 +112,8 @@ "\n", "\n", "def distribution(shape):\n", - " a = np.random.normal(loc=0, scale=1, size=shape)\n", - " b = np.random.normal(loc=0, scale=1, size=shape)\n", + " a = np.random.normal(loc=0, scale=np.sqrt(np.prod(shape)), size=shape)\n", + " b = np.random.normal(loc=0, scale=np.sqrt(np.prod(shape)), size=shape)\n", " return a + 1j * b" ] },