diff --git a/Courses/DeepLearning.AI Short Courses/Vector Databases: from Embeddings to Applications/L1_Embeddings.ipynb b/Courses/DeepLearning.AI Short Courses/Vector Databases: from Embeddings to Applications/L1_Embeddings.ipynb new file mode 100644 index 0000000..95d4f8e --- /dev/null +++ b/Courses/DeepLearning.AI Short Courses/Vector Databases: from Embeddings to Applications/L1_Embeddings.ipynb @@ -0,0 +1,5547 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "id": "LisLhUSeZFJM" + }, + "source": [ + "## Where do embeddings come from?\n", + "### Embedding MNIST images and NLP sentences into vectors." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "id": "BHOrPYK2yxEP" + }, + "source": [ + "\n", + "![image.png](data:image/png;base64,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)\n", + "\n", + "[Source](https://en.wikipedia.org/wiki/Variational_autoencoder)" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "height": 166 + }, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "2024-01-24 16:47:27.773967: I tensorflow/tsl/cuda/cudart_stub.cc:28] Could not find cuda drivers on your machine, GPU will not be used.\n", + "2024-01-24 16:47:28.051641: E tensorflow/compiler/xla/stream_executor/cuda/cuda_dnn.cc:9342] Unable to register cuDNN factory: Attempting to register factory for plugin cuDNN when one has already been registered\n", + "2024-01-24 16:47:28.051689: E tensorflow/compiler/xla/stream_executor/cuda/cuda_fft.cc:609] Unable to register cuFFT factory: Attempting to register factory for plugin cuFFT when one has already been registered\n", + "2024-01-24 16:47:28.056230: E tensorflow/compiler/xla/stream_executor/cuda/cuda_blas.cc:1518] Unable to register cuBLAS factory: Attempting to register factory for plugin cuBLAS when one has already been registered\n", + "2024-01-24 16:47:28.465927: I tensorflow/tsl/cuda/cudart_stub.cc:28] Could not find cuda drivers on your machine, GPU will not be used.\n", + "2024-01-24 16:47:28.466742: I tensorflow/core/platform/cpu_feature_guard.cc:182] 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", + "2024-01-24 16:47:30.422783: W tensorflow/compiler/tf2tensorrt/utils/py_utils.cc:38] TF-TRT Warning: Could not find TensorRT\n" + ] + } + ], + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "\n", + "from tensorflow.keras.datasets import mnist\n", + "from tensorflow.keras.layers import Input, Dense, Lambda\n", + "from tensorflow.keras.models import Model\n", + "from tensorflow.keras import backend as K\n", + "from tensorflow.keras import losses\n", + "from scipy.stats import norm" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "height": 47 + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Downloading data from https://storage.googleapis.com/tensorflow/tf-keras-datasets/mnist.npz\n", + "11490434/11490434 [==============================] - 0s 0us/step\n" + ] + } + ], + "source": [ + "# Load data – training and test\n", + "(x_tr, y_tr), (x_te, y_te) = mnist.load_data()" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "height": 64 + }, + "outputs": [], + "source": [ + "#Normalize and Reshape images (flatten)\n", + "x_tr, x_te = x_tr.astype('float32')/255., x_te.astype('float32')/255.\n", + "x_tr_flat, x_te_flat = x_tr.reshape(x_tr.shape[0], -1), x_te.reshape(x_te.shape[0], -1)" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": { + "height": 47 + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "(60000, 28, 28) (10000, 28, 28)\n", + "(60000, 784) (10000, 784)\n" + ] + } + ], + "source": [ + "print(x_tr.shape, x_te.shape)\n", + "print(x_tr_flat.shape, x_te_flat.shape)" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "height": 64 + }, + "outputs": [], + "source": [ + "# Neural Network Parameters\n", + "batch_size, n_epoch = 100, 50\n", + "n_hidden, z_dim = 256, 2" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": { + "height": 47 + }, + "outputs": [ + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Example of a training image\n", + "plt.imshow(x_tr[1]);" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": { + "height": 98 + }, + "outputs": [], + "source": [ + "# sampling function\n", + "def sampling(args):\n", + " mu, log_var = args\n", + " eps = K.random_normal(shape=(batch_size, z_dim), mean=0., stddev=1.0)\n", + " return mu + K.exp(log_var) * eps" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": { + "height": 166 + }, + "outputs": [], + "source": [ + "# Encoder - from 784->256->128->2\n", + "inputs_flat = Input(shape=(x_tr_flat.shape[1:]))\n", + "x_flat = Dense(n_hidden, activation='relu')(inputs_flat) # first hidden layer\n", + "x_flat = Dense(n_hidden//2, activation='relu')(x_flat) # second hidden layer\n", + "\n", + "# hidden state, which we will pass into the Model to get the Encoder.\n", + "mu_flat = Dense(z_dim)(x_flat)\n", + "log_var_flat = Dense(z_dim)(x_flat)\n", + "z_flat = Lambda(sampling, output_shape=(z_dim,))([mu_flat, log_var_flat])" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": { + "height": 200 + }, + "outputs": [], + "source": [ + "#Decoder - from 2->128->256->784\n", + "latent_inputs = Input(shape=(z_dim,))\n", + "z_decoder1 = Dense(n_hidden//2, activation='relu')\n", + "z_decoder2 = Dense(n_hidden, activation='relu')\n", + "y_decoder = Dense(x_tr_flat.shape[1], activation='sigmoid')\n", + "z_decoded = z_decoder1(latent_inputs)\n", + "z_decoded = z_decoder2(z_decoded)\n", + "y_decoded = y_decoder(z_decoded)\n", + "decoder_flat = Model(latent_inputs, y_decoded, name=\"decoder_conv\")\n", + "\n", + "outputs_flat = decoder_flat(z_flat)" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": { + "height": 200 + }, + "outputs": [], + "source": [ + "# variational autoencoder (VAE) - to reconstruction input\n", + "reconstruction_loss = losses.binary_crossentropy(inputs_flat,\n", + " outputs_flat) * x_tr_flat.shape[1]\n", + "kl_loss = 0.5 * K.sum(K.square(mu_flat) + K.exp(log_var_flat) - log_var_flat - 1, axis = -1)\n", + "vae_flat_loss = reconstruction_loss + kl_loss\n", + "\n", + "# Build model\n", + "# Ensure that the reconstructed outputs are as close to the inputs\n", + "vae_flat = Model(inputs_flat, outputs_flat)\n", + "vae_flat.add_loss(vae_flat_loss)\n", + "vae_flat.compile(optimizer='adam')" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": { + "height": 166 + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Epoch 1/50\n", + "600/600 [==============================] - 8s 12ms/step - loss: 201.9609 - val_loss: 174.6119\n", + "Epoch 2/50\n", + "600/600 [==============================] - 7s 12ms/step - loss: 166.1420 - val_loss: 161.7196\n", + "Epoch 3/50\n", + "600/600 [==============================] - 7s 11ms/step - loss: 160.1949 - val_loss: 159.0858\n", + "Epoch 4/50\n", + "600/600 [==============================] - 7s 11ms/step - loss: 157.5407 - val_loss: 157.1521\n", + "Epoch 5/50\n", + "600/600 [==============================] - 7s 12ms/step - loss: 155.2890 - val_loss: 154.4965\n", + "Epoch 6/50\n", + "600/600 [==============================] - 7s 12ms/step - loss: 153.0863 - val_loss: 152.8132\n", + "Epoch 7/50\n", + "600/600 [==============================] - 7s 12ms/step - loss: 151.2740 - val_loss: 151.2435\n", + "Epoch 8/50\n", + "600/600 [==============================] - 7s 11ms/step - loss: 149.7673 - val_loss: 149.5907\n", + "Epoch 9/50\n", + "600/600 [==============================] - 7s 11ms/step - loss: 148.6718 - val_loss: 148.7225\n", + "Epoch 10/50\n", + "600/600 [==============================] - 7s 11ms/step - loss: 147.4783 - val_loss: 147.3518\n", + "Epoch 11/50\n", + "600/600 [==============================] - 7s 11ms/step - loss: 146.2621 - val_loss: 146.4416\n", + "Epoch 12/50\n", + "600/600 [==============================] - 7s 11ms/step - loss: 145.1853 - val_loss: 145.3854\n", + "Epoch 13/50\n", + "600/600 [==============================] - 7s 11ms/step - loss: 144.3627 - val_loss: 144.5206\n", + "Epoch 14/50\n", + "600/600 [==============================] - 7s 11ms/step - loss: 143.8170 - val_loss: 144.2923\n", + "Epoch 15/50\n", + "600/600 [==============================] - 7s 11ms/step - loss: 143.1940 - val_loss: 143.5807\n", + "Epoch 16/50\n", + "600/600 [==============================] - 7s 11ms/step - loss: 142.3585 - val_loss: 142.9991\n", + "Epoch 17/50\n", + "600/600 [==============================] - 7s 11ms/step - loss: 142.0515 - val_loss: 142.9151\n", + "Epoch 18/50\n", + "600/600 [==============================] - 7s 11ms/step - loss: 141.7640 - val_loss: 143.8840\n", + "Epoch 19/50\n", + "600/600 [==============================] - 7s 11ms/step - loss: 141.3592 - val_loss: 141.7433\n", + "Epoch 20/50\n", + "600/600 [==============================] - 7s 11ms/step - loss: 140.6156 - val_loss: 141.4318\n", + "Epoch 21/50\n", + "600/600 [==============================] - 7s 11ms/step - loss: 140.4343 - val_loss: 140.8396\n", + "Epoch 22/50\n", + "600/600 [==============================] - 7s 11ms/step - loss: 139.9518 - val_loss: 140.7244\n", + "Epoch 23/50\n", + "600/600 [==============================] - 7s 11ms/step - loss: 139.7584 - val_loss: 141.1799\n", + "Epoch 24/50\n", + "600/600 [==============================] - 7s 11ms/step - loss: 139.4761 - val_loss: 140.4083\n", + "Epoch 25/50\n", + "600/600 [==============================] - 7s 11ms/step - loss: 139.0942 - val_loss: 139.8200\n", + "Epoch 26/50\n", + "600/600 [==============================] - 7s 11ms/step - loss: 138.6774 - val_loss: 139.9384\n", + "Epoch 27/50\n", + "600/600 [==============================] - 7s 11ms/step - loss: 138.6536 - val_loss: 139.5172\n", + "Epoch 28/50\n", + "600/600 [==============================] - 7s 11ms/step - loss: 138.3307 - val_loss: 139.4722\n", + "Epoch 29/50\n", + "600/600 [==============================] - 7s 11ms/step - loss: 138.1812 - val_loss: 139.3277\n", + "Epoch 30/50\n", + "600/600 [==============================] - 7s 11ms/step - loss: 138.1008 - val_loss: 139.2509\n", + "Epoch 31/50\n", + "600/600 [==============================] - 7s 11ms/step - loss: 137.9248 - val_loss: 139.0233\n", + "Epoch 32/50\n", + "600/600 [==============================] - 7s 11ms/step - loss: 137.5894 - val_loss: 138.9943\n", + "Epoch 33/50\n", + "600/600 [==============================] - 7s 11ms/step - loss: 137.2119 - val_loss: 138.7217\n", + "Epoch 34/50\n", + "600/600 [==============================] - 7s 11ms/step - loss: 137.1970 - val_loss: 138.8311\n", + "Epoch 35/50\n", + "600/600 [==============================] - 7s 11ms/step - loss: 137.0926 - val_loss: 138.4069\n", + "Epoch 36/50\n", + "600/600 [==============================] - 7s 11ms/step - loss: 136.8603 - val_loss: 138.5818\n", + "Epoch 37/50\n", + "600/600 [==============================] - 7s 11ms/step - loss: 136.6577 - val_loss: 138.0831\n", + "Epoch 38/50\n", + "600/600 [==============================] - 7s 11ms/step - loss: 136.5763 - val_loss: 138.0115\n", + "Epoch 39/50\n", + "600/600 [==============================] - 7s 11ms/step - loss: 136.2694 - val_loss: 137.8047\n", + "Epoch 40/50\n", + "600/600 [==============================] - 7s 11ms/step - loss: 136.2695 - val_loss: 138.0455\n", + "Epoch 41/50\n", + "600/600 [==============================] - 7s 11ms/step - loss: 136.0923 - val_loss: 138.3199\n", + "Epoch 42/50\n", + "600/600 [==============================] - 7s 11ms/step - loss: 135.9583 - val_loss: 137.8848\n", + "Epoch 43/50\n", + "600/600 [==============================] - 7s 11ms/step - loss: 135.8554 - val_loss: 137.4273\n", + "Epoch 44/50\n", + "600/600 [==============================] - 7s 11ms/step - loss: 135.7340 - val_loss: 137.1689\n", + "Epoch 45/50\n", + "600/600 [==============================] - 7s 11ms/step - loss: 135.6286 - val_loss: 137.5080\n", + "Epoch 46/50\n", + "600/600 [==============================] - 7s 11ms/step - loss: 135.5164 - val_loss: 137.4795\n", + "Epoch 47/50\n", + "600/600 [==============================] - 7s 11ms/step - loss: 135.4983 - val_loss: 137.5256\n", + "Epoch 48/50\n", + "600/600 [==============================] - 7s 11ms/step - loss: 135.6722 - val_loss: 136.9621\n", + "Epoch 49/50\n", + "600/600 [==============================] - 7s 11ms/step - loss: 135.2414 - val_loss: 136.9029\n", + "Epoch 50/50\n", + "600/600 [==============================] - 7s 11ms/step - loss: 134.8777 - val_loss: 137.1572\n" + ] + }, + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 11, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# train\n", + "vae_flat.fit(\n", + " x_tr_flat,\n", + " shuffle=True,\n", + " epochs=n_epoch,\n", + " batch_size=batch_size,\n", + " validation_data=(x_te_flat, None),\n", + " verbose=1\n", + ")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Visualize Embeddings" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": { + "height": 47 + }, + "outputs": [], + "source": [ + "# Build encoders\n", + "encoder_f = Model(inputs_flat, z_flat) # flat encoder" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": { + "height": 132 + }, + "outputs": [ + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Plot of the digit classes in the latent space\n", + "x_te_latent = encoder_f.predict(x_te_flat, batch_size=batch_size,verbose=0)\n", + "plt.figure(figsize=(8, 6))\n", + "plt.scatter(x_te_latent[:, 0], x_te_latent[:, 1], c=y_te, alpha=0.75)\n", + "plt.title('MNIST 2D Embeddings')\n", + "plt.colorbar()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example: compare three embeddings" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": { + "height": 30 + }, + "outputs": [ + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.imshow(x_te_flat[10].reshape(28,28));" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": { + "height": 30 + }, + "outputs": [ + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.imshow(x_te_flat[13].reshape(28,28));" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": { + "height": 30 + }, + "outputs": [ + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.imshow(x_te_flat[2].reshape(28,28));" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": { + "height": 149 + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Embedding for the first ZERO is [0.275481 0.19426289]\n", + "Embedding for the second ZERO is [0.17348722 0.23907024]\n", + "Embedding for the ONE is [-2.00229 0.4269864]\n" + ] + } + ], + "source": [ + "# calculate vectors for each digit\n", + "zero_A = x_te_latent[10]\n", + "zero_B = x_te_latent[13]\n", + "one = x_te_latent[2]\n", + "\n", + "print(f\"Embedding for the first ZERO is {zero_A}\")\n", + "print(f\"Embedding for the second ZERO is {zero_B}\")\n", + "print(f\"Embedding for the ONE is {one}\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Using more advanced models based on the Transformer architechture you can embed sentences aswell." + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": { + "height": 64 + }, + "outputs": [ + { + "data": { + "application/vnd.jupyter.widget-view+json": { + "model_id": "2172b714b1fb4d0689a711e71de86f49", + "version_major": 2, + "version_minor": 0 + }, + "text/plain": [ + "Downloading .gitattributes: 0%| | 0.00/690 [00:00" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import seaborn as sns\n", + "import matplotlib.pyplot as plt\n", + "\n", + "sns.heatmap(embedding[0].reshape(-1,384),cmap=\"Greys\",center=0,square=False)\n", + "plt.gcf().set_size_inches(10,1)\n", + "plt.axis('off')\n", + "plt.show()\n", + "\n", + "sns.heatmap(embedding[1].reshape(-1,384),cmap=\"Greys\",center=0,square=False)\n", + "plt.gcf().set_size_inches(10,1)\n", + "plt.axis('off')\n", + "plt.show()\n", + "\n", + "sns.heatmap(embedding[2].reshape(-1,384),cmap=\"Greys\",center=0,square=False)\n", + "plt.gcf().set_size_inches(10,1)\n", + "plt.axis('off')\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## How can we measure the distance between these Image and Sentence Embeddings?\n", + "\n", + "There are many ways to calculate the distances between two vectors.\n", + "\n", + "Here we will cover 4 distance metrics that you might find being used in the context of vector databases:\n", + "- Euclidean Distance(L2)\n", + "- Manhattan Distance(L1)\n", + "- Dot Product\n", + "- Cosine Distance" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Euclidean Distance(L2)\n", + "The length of the shortest path between two points or vectors.\n", + "\n", + "![image.png](data:image/png;base64,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)" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": { + "height": 81 + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "0.11140209663526911\n" + ] + } + ], + "source": [ + "# Euclidean Distance\n", + "L2 = [(zero_A[i] - zero_B[i])**2 for i in range(len(zero_A))]\n", + "L2 = np.sqrt(np.array(L2).sum())\n", + "print(L2)" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": { + "height": 47 + }, + "outputs": [ + { + "data": { + "text/plain": [ + "0.111402094" + ] + }, + "execution_count": 24, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "#An alternative way of doing this\n", + "np.linalg.norm((zero_A - zero_B), ord=2)" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": { + "height": 81 + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Distance zeroA-zeroB: 0.111402094\n", + "Distance zeroA-one: 2.289629\n", + "Distance zeroB-one: 2.183877\n" + ] + } + ], + "source": [ + "#Calculate L2 distances\n", + "print(\"Distance zeroA-zeroB:\", np.linalg.norm((zero_A - zero_B), ord=2))\n", + "print(\"Distance zeroA-one: \", np.linalg.norm((zero_A - one), ord=2))\n", + "print(\"Distance zeroB-one: \", np.linalg.norm((zero_B - one), ord=2))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Manhattan Distance(L1)\n", + "Distance between two points if one was constrained to move only along one axis at a time.\n", + "\n", + "![image.png](data:image/png;base64,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)" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": { + "height": 98 + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "0.14680111\n" + ] + } + ], + "source": [ + "# Manhattan Distance\n", + "L1 = [zero_A[i] - zero_B[i] for i in range(len(zero_A))]\n", + "L1 = np.abs(L1).sum()\n", + "\n", + "print(L1)" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": { + "height": 47 + }, + "outputs": [ + { + "data": { + "text/plain": [ + "0.14680111" + ] + }, + "execution_count": 27, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "#an alternative way of doing this is\n", + "np.linalg.norm((zero_A - zero_B), ord=1)" + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "metadata": { + "height": 81 + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Distance zeroA-zeroB: 0.14680111\n", + "Distance zeroA-one: 2.5104945\n", + "Distance zeroB-one: 2.3636932\n" + ] + } + ], + "source": [ + "#Calculate L1 distances\n", + "print(\"Distance zeroA-zeroB:\", np.linalg.norm((zero_A - zero_B), ord=1))\n", + "print(\"Distance zeroA-one: \", np.linalg.norm((zero_A - one), ord=1))\n", + "print(\"Distance zeroB-one: \", np.linalg.norm((zero_B - one), ord=1))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Dot Product\n", + "Measures the magnitude of the projection of one vector onto the other.\n", + "\n", + "![image.png](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAywAAAGCCAYAAAACB0cqAAAMPmlDQ1BJQ0MgUHJvZmlsZQAASImVVwdYU8kWnluSkEBoAQSkhN4EkRpASggt9N5EJSQBQokxEFTs6KKCaxcL2NBVEQUrzYIidhbF3hcLKsq6WLArb1JA133le+f75t7//nPmP2fOnVsGALXjHJEoD1UHIF9YKI4N9qcnp6TSSU8BApQBGYwCBA63QMSMjg4H0IbOf7d316E3tCv2Uq1/9v9X0+DxC7gAINEQZ/AKuPkQHwQAr+KKxIUAEKW82ZRCkRTDBrTEMEGIF0pxlhxXSXGGHO+V+cTHsiBuB0BJhcMRZwGgegny9CJuFtRQ7YfYUcgTCAFQo0Psk58/iQdxOsTW0EcEsVSfkfGDTtbfNDOGNTmcrGEsn4vMlAIEBaI8zrT/sxz/2/LzJEMxLGFTyRaHxErnDOt2M3dSmBSrQNwnzIiMglgT4g8CnswfYpSSLQlJkPujBtwCFqwZ0IHYkccJCIPYAOIgYV5kuILPyBQEsSGGKwSdKihkx0OsC/FCfkFgnMJns3hSrCIW2pApZjEV/FmOWBZXGuu+JDeBqdB/nc1nK/Qx1eLs+CSIKRCbFwkSIyFWhdihIDcuTOEztjibFTnkI5bESvM3hziWLwz2l+tjRZnioFiFf1l+wdB8sc3ZAnakAu8vzI4PkdcHa+dyZPnDuWCX+EJmwpAOvyA5fGguPH5AoHzu2DO+MCFOofNBVOgfKx+LU0R50Qp/3JSfFyzlTSF2KSiKU4zFEwvhgpTr45miwuh4eZ54cQ4nNFqeD74MhAMWCAB0IIEtA0wCOUDQ2dfYB6/kPUGAA8QgC/CBvYIZGpEk6xHCYxwoBn9CxAcFw+P8Zb18UAT5r8Os/GgPMmW9RbIRueAJxPkgDOTBa4lslHA4WiJ4DBnBP6JzYOPCfPNgk/b/e36I/c4wIROuYCRDEelqQ57EQGIAMYQYRLTB9XEf3AsPh0c/2JxwBu4xNI/v/oQnhC7CQ8I1Qjfh1kRBifinLCNAN9QPUtQi48da4JZQ0xX3x72hOlTGdXB9YI+7wDhM3BdGdoUsS5G3tCr0n7T/NoMf7obCj+xIRskjyH5k659Hqtqqug6rSGv9Y33kuWYM15s13PNzfNYP1efBc9jPnthC7AB2BjuBncOOYI2AjrViTVgHdlSKh1fXY9nqGooWK8snF+oI/hFv6M5KK1ngWOvY6/hF3lfInyp9RwPWJNE0sSAru5DOhF8EPp0t5DqMojs5OjkDIP2+yF9fb2Jk3w1Ep+M7N+8PALxbBwcHD3/nQlsB2OcOH//m75w1A346lAE428yViIvkHC49EOBbQg0+aXrACJgBazgfJ+AGvIAfCAShIArEgxQwAWafDde5GEwBM8BcUArKwTKwGqwHm8BWsBPsAftBIzgCToDT4AK4BK6BO3D19IAXoB+8A58RBCEhVISG6CHGiAVihzghDMQHCUTCkVgkBUlHshAhIkFmIPOQcmQFsh7ZgtQg+5Bm5ARyDulCbiEPkF7kNfIJxVAVVAs1RC3R0SgDZaJhaDw6Hs1CJ6PF6Hx0CboWrUZ3ow3oCfQCeg3tRl+gAxjAlDEdzASzxxgYC4vCUrFMTIzNwsqwCqwaq8Na4H2+gnVjfdhHnIjTcDpuD1dwCJ6Ac/HJ+Cx8Mb4e34k34O34FfwB3o9/I1AJBgQ7gieBTUgmZBGmEEoJFYTthEOEU/BZ6iG8IxKJOkQrojt8FlOIOcTpxMXEDcR64nFiF/ERcYBEIumR7EjepCgSh1RIKiWtI+0mtZIuk3pIH5SUlYyVnJSClFKVhEolShVKu5SOKV1Weqr0maxOtiB7kqPIPPI08lLyNnIL+SK5h/yZokGxonhT4ik5lLmUtZQ6yinKXcobZWVlU2UP5RhlgfIc5bXKe5XPKj9Q/qiiqWKrwlJJU5GoLFHZoXJc5ZbKGyqVakn1o6ZSC6lLqDXUk9T71A+qNFUHVbYqT3W2aqVqg+pl1ZdqZDULNabaBLVitQq1A2oX1frUyeqW6ix1jvos9Ur1ZvUb6gMaNI0xGlEa+RqLNXZpnNN4pknStNQM1ORpztfcqnlS8xENo5nRWDQubR5tG+0UrUeLqGWlxdbK0SrX2qPVqdWvrantop2oPVW7UvuodrcOpmOpw9bJ01mqs1/nus6nEYYjmCP4IxaNqBtxecR73ZG6frp83TLdet1rup/06HqBerl6y/Ua9e7p4/q2+jH6U/Q36p/S7xupNdJrJHdk2cj9I28boAa2BrEG0w22GnQYDBgaGQYbigzXGZ407DPSMfIzyjFaZXTMqNeYZuxjLDBeZdxq/JyuTWfS8+hr6e30fhMDkxATickWk06Tz6ZWpgmmJab1pvfMKGYMs0yzVWZtZv3mxuYR5jPMa81vW5AtGBbZFmsszli8t7SyTLJcYNlo+cxK14ptVWxVa3XXmmrtaz3Zutr6qg3RhmGTa7PB5pItautqm21baXvRDrVzsxPYbbDrGkUY5TFKOKp61A17FXumfZF9rf0DBx2HcIcSh0aHl6PNR6eOXj76zOhvjq6OeY7bHO+M0RwTOqZkTMuY1062TlynSqerzlTnIOfZzk3Or1zsXPguG11uutJcI1wXuLa5fnVzdxO71bn1upu7p7tXud9gaDGiGYsZZz0IHv4esz2OeHz0dPMs9Nzv+ZeXvVeu1y6vZ2OtxvLHbhv7yNvUm+O9xbvbh+6T7rPZp9vXxJfjW+370M/Mj+e33e8p04aZw9zNfOnv6C/2P+T/nuXJmsk6HoAFBAeUBXQGagYmBK4PvB9kGpQVVBvUH+waPD34eAghJCxkecgNtiGby65h94e6h84MbQ9TCYsLWx/2MNw2XBzeEoFGhEasjLgbaREpjGyMAlHsqJVR96KtoidHH44hxkTHVMY8iR0TOyP2TBwtbmLcrrh38f7xS+PvJFgnSBLaEtUS0xJrEt8nBSStSOpOHp08M/lCin6KIKUplZSamLo9dWBc4LjV43rSXNNK066Ptxo/dfy5CfoT8iYcnag2kTPxQDohPSl9V/oXThSnmjOQwc6oyujnsrhruC94frxVvF6+N38F/2mmd+aKzGdZ3lkrs3qzfbMrsvsELMF6wauckJxNOe9zo3J35A7mJeXV5yvlp+c3CzWFucL2SUaTpk7qEtmJSkXdkz0nr57cLw4Tby9ACsYXNBVqwR/5Dom15BfJgyKfosqiD1MSpxyYqjFVOLVjmu20RdOeFgcV/zYdn86d3jbDZMbcGQ9mMmdumYXMypjVNtts9vzZPXOC5+ycS5mbO/f3EseSFSVv5yXNa5lvOH/O/Ee/BP9SW6paKi69scBrwaaF+ELBws5FzovWLfpWxis7X+5YXlH+ZTF38flfx/y69tfBJZlLOpe6Ld24jLhMuOz6ct/lO1dorChe8WhlxMqGVfRVZaverp64+lyFS8WmNZQ1kjXda8PXNq0zX7ds3Zf12euvVfpX1lcZVC2qer+Bt+HyRr+NdZsMN5Vv+rRZsPnmluAtDdWW1RVbiVuLtj7ZlrjtzG+M32q2628v3/51h3BH987Yne017jU1uwx2La1FayW1vbvTdl/aE7Cnqc6+bku9Tn35XrBXsvf5vvR91/eH7W87wDhQd9DiYNUh2qGyBqRhWkN/Y3Zjd1NKU1dzaHNbi1fLocMOh3ccMTlSeVT76NJjlGPzjw22FrcOHBcd7zuRdeJR28S2OyeTT15tj2nvPBV26uzpoNMnzzDPtJ71PnvknOe55vOM840X3C40dLh2HPrd9fdDnW6dDRfdLzZd8rjU0jW269hl38snrgRcOX2VffXCtchrXdcTrt+8kXaj+ybv5rNbebde3S66/fnOnLuEu2X31O9V3De4X/2HzR/13W7dRx8EPOh4GPfwziPuoxePCx5/6Zn/hPqk4qnx05pnTs+O9Ab1Xno+7nnPC9GLz32lf2r8WfXS+uXBv/z+6uhP7u95JX41+HrxG703O966vG0biB64/y7/3ef3ZR/0Puz8yPh45lPSp6efp3whfVn71eZry7ewb3cH8wcHRRwxR/YrgMGGZmYC8HoHANQUAGhwf0YZJ9//yQyR71llCPwnLN8jyswNgDr4/x7TB/9ubgCwdxvcfkF9tTQAoqkAxHsA1Nl5uA3t1WT7SqkR4T5gc/TXjPwM8G9Mvuf8Ie+fz0Cq6gJ+Pv8LuZ58UBU1tfYAAACKZVhJZk1NACoAAAAIAAQBGgAFAAAAAQAAAD4BGwAFAAAAAQAAAEYBKAADAAAAAQACAACHaQAEAAAAAQAAAE4AAAAAAAAAkAAAAAEAAACQAAAAAQADkoYABwAAABIAAAB4oAIABAAAAAEAAAMsoAMABAAAAAEAAAGCAAAAAEFTQ0lJAAAAU2NyZWVuc2hvdAOCXdMAAAAJcEhZcwAAFiUAABYlAUlSJPAAAAHWaVRYdFhNTDpjb20uYWRvYmUueG1wAAAAAAA8eDp4bXBtZXRhIHhtbG5zOng9ImFkb2JlOm5zOm1ldGEvIiB4OnhtcHRrPSJYTVAgQ29yZSA2LjAuMCI+CiAgIDxyZGY6UkRGIHhtbG5zOnJkZj0iaHR0cDovL3d3dy53My5vcmcvMTk5OS8wMi8yMi1yZGYtc3ludGF4LW5zIyI+CiAgICAgIDxyZGY6RGVzY3JpcHRpb24gcmRmOmFib3V0PSIiCiAgICAgICAgICAgIHhtbG5zOmV4aWY9Imh0dHA6Ly9ucy5hZG9iZS5jb20vZXhpZi8xLjAvIj4KICAgICAgICAgPGV4aWY6UGl4ZWxZRGltZW5zaW9uPjM4NjwvZXhpZjpQaXhlbFlEaW1lbnNpb24+CiAgICAgICAgIDxleGlmOlBpeGVsWERpbWVuc2lvbj44MTI8L2V4aWY6UGl4ZWxYRGltZW5zaW9uPgogICAgICAgICA8ZXhpZjpVc2VyQ29tbWVudD5TY3JlZW5zaG90PC9leGlmOlVzZXJDb21tZW50PgogICAgICA8L3JkZjpEZXNjcmlwdGlvbj4KICAgPC9yZGY6UkRGPgo8L3g6eG1wbWV0YT4KTX1IuwAAABxpRE9UAAAAAgAAAAAAAADBAAAAKAAAAMEAAADBAABUsDUeL/YAAEAASURBVHgB7J0HYBRFF8cfIQlJICQEkhB6711AQKnSO4goAiKiIiL6IRawg11RFKwoNlBURKSooIDSuyK9l1ACpAEJ6eV7bycXbq+kXrIb8l9lc7e3tzf725fL/HZm3pS4cuVKOmEBARAAARAAARAAARAAARAAARMSKAFhMeFVQZFAAARAAARAAARAAARAAAQ0AhAWBAIIgAAIgAAIgAAIgAAIgIBpCUBYTHtpUDAQAAEQAAEQAAEQAAEQAAEIC2IABEAABEAABEAABEAABEDAtAQgLKa9NCgYCIAACIAACIAACIAACIAAhAUxAAIgAAIgAAIgAAIgAAIgYFoCEBbTXhoUDARAAARAAARAAARAAARAAMKCGAABEAABEAABEAABEAABEDAtAQiLaS8NCgYCIAACIAACIAACIAACIABhQQyAAAiAAAiAAAiAAAiAAAiYlgCExbSXBgUDARAAARAAARAAARAAARCAsCAGQAAEQAAEQAAEQAAEQAAETEsAwmLaS4OCgQAIgAAIgAAIgAAIgAAIQFgQAyAAAiAAAiAAAiAAAiAAAqYlAGEx7aVBwUAABEAABEAABEAABEAABCAsiAEQAAEQAAEQAAEQAAEQAAHTEoCwmPbSoGAgAAIgAAIgAAIgAAIgAAIQFsQACIAACIAACIAACIAACICAaQlAWEx7aVAwEAABEAABEAABEAABEAABCAtiAARAAARAAARAAARAAARAwLQEICymvTQoGAiAAAiAAAiAAAiAAAiAAIQFMQACIAACIAACIAACIAACIGBaAhAW014aFAwEQAAEQAAEQAAEQAAEQMAUwhIefpUS4pNwNUAABEAABJwQCAr2o1KlPJy8is0gAAIgAAIgcOMSMFxYIlhWQk+HUxlfb/L0dDeEdHRULMXHJ1KFQD+UARwoiuMhgTkEcjx4GBSTUVExmsQbWoZILkNCEgUGMQcPY343o0xVBn/mUNKQ7yjhIN+RNWoGGfYdZciJ40NBoIgTOH7sAr328mK7s6hePZBGjOpIdeuF2L2GDSAAAvYEDBcWaV25FptAFUPKkZeXMXcPLWUI4TKUMqoMl5jDtQQKqcRlMOguavilK1yGxGJfhkvMIc5gDtfLEMDxYIwsXLrIHOISqVLlAMMqySiD+tI2Awf7Px/GbklPT6etmw/TR3NWUTyLdd/+rejuUZ2cFqpECaIS/J/2Pz9xc5N/biTbsRBFRMTQV/PW0Krfd1NAeV+6tWNDGjWmM3l7ezrFozHllfx0K+FGbiXlMYBaA9v97ykaMWyW9SbtcfMW1Wnac0Opecsadq9hAwiAgD0BCAszgbCowICwKA7XZcE4ebxeBggLpIkIwmL/x+vI4fN059B3uRUw2f5FB1vkhlhgUFkqV6401agVRC1b1aDWbepScEU/Ku1Tiivbbg7eVTw2JSWl0LDBM+no4bBcnXD5CmWoEt9k8/PzoRbCs3UdqtewssbT06AbLbk6gULYGcJSCJDxEcWCAISFLzOERcU6hEVxuC4LEBbIgjlkAcKi/3ucmJhMdw9/jw7uP0fS0pKfpXuPJjTq3s5Up04I+fn7kLu7Md3+8nMO+X3v6lX/0aMTv2CW+TuStK5Uq16B7rm3E3Xr3kwTxJLFWASFJoTlekyp+EpHK9x1JHiUCwIQFoYFYVERA2FRHCAsGRzQJUwDYQZZMEMZVFSYY330yHl66P65dP5ctEsKJJXqnr2b0V1330qNm1Sl0mW8XHJcVx8kLS2drlyJo8iIqxQQ4Ev+3FokXdvyuyz6YTO9Mn0xJSWm5PdQ2vuFZ9Pm1WjylP7UiHmWMSlPl5xsNgeBsBBpcXv5GoVz13cvH0+qVq1CNtTwMgjYE4CwMBMIiwoMCIviAGHJ4ABh0UCYQRbMUAYVFeZYSzew92Yup2/nb6SUlFSXFEoq/pLUYOTojtSjl7QO+LnkuK44iFT4LnOF78Txi7Rh3QFau3oft2J0pgGDWpNXFmNMcvrZktRh6pPf8rEP5vQtOdqvMo9/e+iRntRvwE1ZjoXJ0cGK6E7FWVik9VOSGh07eoHW/b2ftm85Srf1bEYPTexVRK8mim0kAQgL04ewqBCEsCgOEJYMDhAWDYQZZMEMZVBRYZ715ehrNLjfm3SR49R2kYyTZXyvt5KkpaZRcnKqNt4llR9ntUirxZ0jOtDIezpxpsCyWe1a4K9posLnKeN1Nm86TGv+3EOnT0WQnMML04fRkNtvdomwyIns2HaU7rn7A7tzktYSn9Kl7DLkJXG3vKSkVOaakmVXMsmCNfmJ/tSpSyMqjt3DiquwXLx4mQ4fPE/bth6hP1ftoTOhkeTPXS7H3NcFwmL3W4YNOSEAYWFKEBYVKhAWxQHCksEBwqKBMIMsmKEMKirMtR4zcjZt33rcrlB164dwZb5t5vYUlpV4nusrKuoad6eKodDQcLpw/jLFxCQ4HAMjg/Pvva8LjRjZkby5C4tRi4zVWfPnXvr0oz+4deWSrjXJ1cJy7mwkde88w+5UhUVnlo1adYJ1r8UyO8mmKMJ4hLvoXQjjLJOc8dN2EUnp1qMpPTV1EFWpWt725Rv+eXEVlvlf/U3z5q7V3VCAsNzw4V6gJwhhYbwQFhVjEBbFAcKSwQHCooEwgyyYoQwqKsy1Hj/uY1r/9yG7QnXnbidzPh5nt11aWSK5+9OhA2dp394z9NeafXRg/1m7/WRDA852NeWpAXRrp4YOXy+MjZL04qt5f9Gc9363+7jCEpb6DSrR409KC0ljuzLIhqjIWPpn1wnauyeUvluwgURkbBdJ1z+Bu4YNHdau2LWyFFdheebpBbTkpx26UICw6HDgSS4JQFgYGIRFRQ2ERXGAsGRwgLBoIMwgC2Yog4oKc61zKyzWpZfWgH/+OUlffb6Wu1sdsX5JeyzzH/Xu15Ie/V9fbS4iux0KYUNREBYLhtiYePr6y7/ps09WU6LN4H1JGT3sjnb0P+4aJmmli9MCYbl+tSEs11ngUe4JQFiYGYRFBQ6ERXGAsGRwgLBoIMwgC2Yog4oKc63zIyyWM9m3N5TefO0X2rndvmtZ5SoBmrAMHNLGsnuh/ixKwiJgJDHA1CnzeYC1/eD9zl0b0ZQnB1Dd+pUKlaHRHwZhuX4FICzXWeBR7glAWJgZhEUFDoRFcYCwZHCAsGggzCALZiiDigpzrV0hLHJGmzceoimPfc0V7jjdCcqcLMN5AP6kx/poKYR1L9o8kYxIsbGJPCj+EmdFCtO6RsVmjOnwLetNVaqUp5o8YWVISDny4KQAzhYZaB/DrRUR4VcoPi6Jfl68jRYu2GS3+8PcxUoyLklLkGWReVDKlPGmoODcZzhzNoYluy5hls+Wn2lpafTTj1voxWd/tN6sPZZ00dK1rMOtDexeE2bSRa9b96aZ2cSEg3wXb996lFlc1VLjlgsoTY0aV6VatYP5vD3sjmPZIPz2s4iePx9NkpxBJsZ0d3cjX18fqlw1gGrUCGRG/iTJGfK6yHFPnrhIp0+Ha+VLSUkjmZw0oLwvNW1ajWpyGWXJqbBIumrJ1iYMrRcPD3ee3FTmBMu6rGfPRHDLln4SVTc3N608MrFnThb5njl+LIwiImK1rpMJPO5LYqp0mVKcgMJPm2NH5tkpXfp6Qgvr40odQtjL78LMt5bR32sOWL9M8nsweGgbLamF7gV+Ur58WSrL5XRFmm7bY+P5jUEAwsLXEcKighnCojhAWDI4QFg0EGaQBTOUQUWFudauEhZpyXjhmYX06/J/7U6w7c116HEey9K8RQ271ywbrvHg81W//8sD5PfRJc6OFJ1RSU7mirIsnly59uWsZVJxrM6V5Y6dG2pjQkpz9i3bRbpWLWFJ+W3Fv1o2MPk+unjBPhOaDGAPCCijq+B5eJSkXn1bcGrmTraHzfa5K4RFKqr/7DxBo+6abfd5detV1LKFdb2tqfaadBvb898pbtk6Rls3H6WwsGh6eFIvrtDeTFJR/v23f5nBP3TqZDiLW6KWiUyEoHwFX2rVuhYNveNmql27om5MjMzPs+yXnXRg31mudF/VBDIxIUnjKBVhT08PLXucXIfmLapT/4E3Ud16lcidueV0kaQNG9YfoL/X7qfQ0xF09Wq8JpYiGiK4kmY6iBMVyDW+a+StWvlHDJtld3j5/GnPDaXmLWtor/2xcjd9/+0mLTmE9c5ynZ95fiiV42vtbLnKsvPK9J+0TFzW+3hzWe4aeQvPMdTCerPuscjcrh3H6Q+ePPTUiUucmCKW4liU5RpIynARFokrb59SVFbEm8sjvxMytss6iYLI0vTnF9HJkxeJeALSU6fCNVm0/jCRRsm8F1zR33qz9vjRx/tpxy2OmeTsYGCDQwIQFsYCYVGxAWFRHCAsGRwgLBoIM8iCGcqgosJca1cJi9zN37HtGN07yj6tb4VAXx58P5Ar0tezjllT+HPVblrIFU2ZIyUiPEarHFu/bvvYk++UV+BKt6T5lblUatQIohJWkz+ePx9FU59YwOWx76Jmeyzb5yJAz780jAY5Kavt/tbPXSUsIiCO0iNbC8tfa/bSimX/0OFD57VJMKXSL9egGVfiF3z/KH03fwMnG/hb+9vsKA21TET57AtDqW//m1gG3bVK/vKlO7glaiOdPRPFomI/8N/6XOWxpL0OCfHX5ogZwWIhd/ezWqTyLiK08NsNmmBJ8gZJ4uBo4Tq+JqfNWHLbd6indTm03c9WWL5bsJ7efftXu0xrkhb6i28epgpZpNiWFqj77vmIjh4J032McJr8ZD+6e5RjgQ3l1qFvmfXG9Yd4EtYorYWGnTPLReRFUn9Xrx5II0bdqrWKiUhKIov/TfqKWxjDs3y/oxel6+Wb74ymVjfVYkFytAe2gQARhIWjAMKifhUgLIoDhCWDA4RFA2EGWTBDGVRUmGvtKmGRsxLGI+98T6vwWp+ldKuZ9L8+NO7B2+zmIlm6ZBvNfvd3usAtILZdeayP4eixD6dLlkxkr755tzZhpWUfEZ+Rw9+z655meT2rn348z8UPiydzK05QVrs5fM0VwiLS8fuKXfTE5Pl2n9GocRWuPPenWzs21Fqj3n/3N259uKSbw0UqwzLR5IKv1mutVHYHydjQoFFlTVhual1bm1vnrdd/0dI/y0zquV1EVFq0rE4vzBhOlSoFOK0wb+Ouae++vZznxAnTWh9y8jnS4lLWz1vLpGa7v9HC8t+/J+mzT1dr8iUtjNmJim35JZGCCN+jk/tSrz4taPnSnfT+O79yy1aM7a7ZPm9/Sz165oXbqU6ditnuix2KLwEIC197CIv6BYCwKA4QlgwOEBYNhBlkwQxlUFFhrrUrheUKDxh/+gkeMP6X/YBxmexuwsSe5Od/PcPV0p+30SyuoMm1yW1lz0JRur/Ub1iJPuAUzCFcWZYuZCu5a9nTU77lY2Zzq9tykIyfcme6foPK9NPSJ3TdpGx2c/rUFcIirRDStW7JYn06W/lQ1bWuP3fFqsld3C7TU4/Pp+3cqmW7+HDXI6lAO1tkHMT4h3vQ8Ls6cDc7b60r1NIlOxymU3Z2DNvt0lXplo716f0PxlEpbi2wXUQi33tnBa1dvS/bFjTb9zp7bqSw7N1zmj54/3fawtnxnLUSOSu39XaRvemvDNeE5eUXF9EvP++w69Jmvb+zxw881J3GjuuaZbc3Z+/F9uJDAMLC1xrCogIewqI4QFgyOEBYNBBmkAUzlEFFhbnWrhQW6Ub0zptL6fvvNtudZB9Jb8x3kmvUVC0X0gVn7OgPeYDyBYeyIq0nDbkVoFLlctzFJ5FO8NiA8+eitcHftgeXMQK3dKxHn335sNaVadbM5dwlaqPtbtk+lzEad97dgV6YPjzbfR3t4AphOc0tJv17v85jH/QDx+Xz+vRtSVOeHkCVOfmAyNgTnORg1cr/nAqAtGwFcne8OnWDtcHaYWGXtckzm/Dg/cmcbaxps2o85mgnvfPWCgrjwfWOFuki15xbT8qXL6NJ0OFDYXYtaJb3SYvBk1y+e8d1s2zSfsrgepkE8dOPVzstq1xrSSogKZvDWMZ2ccY5KW9Wi1HCIuOt5n78J0/quMbp+Ui5GzQI4YxuIVpXPemyJ+OopHXJerH8Xoi4PDL+c/qX04TnZXn59RE0mDPx5WYsUV4+B+8p2gQgLHz9ICwqiCEsigOEJYMDhEUDYQZZMEMZVFSYa+1KYYnnQcbf8Dwi73Grie3SmweyPzq5n5blS1579OF59BcPuk6xGcMgXYBualOLpj43hCt8lXWH2bj+oNal6OCBc7rtlifzF06i1m3rWJ5qPyN54PjcT/7kcq3XbZcnMhHj2Pu7aa0Mdi/mYUNehUU1BMkYoKM07anvNDGz/XgRhwe5VeTBh3pkvvT8tIW0jLsRJdnM2SI7+PD+o+/tRA+M78EZqa4nJjh86BwzT6N6XJmWSvSjE+bxpJX2lWTJIDb0jrY89miQ7v2S0EA+UybjPBMamVkWy4My3GKzet2LPP7E27KJs5eF0uRJXzoUHUkA8OKMO6hL18a6zG/S0jT34z+4FWOV05Yyo4Rl6+Yj9PYbSx1OmCryPOxOni9nSn8toUMmBH4gEirZ3BZ9v5mWcmKDdO7+9/Szg2nI7Tdb75b5+N5Rc2jbFn0Lmox1kax7kmwACwjklgCEhYlBWFTYQFgUBwhLBgcIiwbCDLJghjKoqDDX2tXC8vUXf5GMrbBdrIVl/75Q7rK1gFtXOBuS1SLdu9pw9qS33x3tdID0ur/3cyvOci3tsW2Pr1turU+ffTVBy8pkOawZhKVO3Ypa9q4Ot+jTEUdFxVB01DWe4f40Z8zax927jmt34y1lt/yUrmrt2tejp6YNogaNqlg2kzNhEY7dujem2R/dn7mvowc//bCZPpy9iscP6Vsy5P3DR7TPsqXp++820icf/EEX+TvOdnloYg967PH+2maZXPSH7zfR268vs92NAjkT2NN8Tt17NXeYYlkEeN7c1fTJh386bMkwQlikFVFk7cPZK+3OR1o3Hn9igDaQXsQiq2XfnlDav+8M3dy+bmaro+3+EBZbInieXwIQFiYIYVFhBGFRHCAsGRwgLBoIM8iCGcqgosJca1cKi3SV+fiDlVzJXGt3kpauL9Il7HOuhH7B+0jqYutFxla8+/4YLd2r9Xbbx6+9vJjnKtmqpcK1fk1aElaufV7LIGbZbgZhsZQlLz9FVvzLldHGJ8g4BevFmbDIGJa5X4znlqra1rvrHkuCg5ee/5Fk7IptC40kHlj++1QWCudz0Vy9GkcvPfcjD/7fbSdZMgD/2x8na+miL3Cq5Vde+onW8NgV60VaIkZwumBpNQrm+VycLZKq+Yn/fc2pnu1bgYwQFsnkNfPNZbRp42G7Ivfp34LTJ9/O8VfW7rW8bICw5IUa3pMVAQgL04GwqBCBsCgOEJYMDhAWDYQZZMEMZVBRYa61K4VFugtJtqlFP2y1O8kht7elR3jyyEqVA7RB5cuW7qLEBP0kfZJ+dhlXlLNbJKXvG6/+os3hYb2vdGOa8epwGjikbebmoiwsUqmX+U4GDWlNEx/to41DyTwxfuBMWAJ4vMmm7a9a72r3WOZYmfbkt1o6XtsXpSvYq2+MtN1s9/wrbk2TcRySitp6kbFAf22crk2+KVnMHnnoc7vWNEkXPP3VOzmtcivrt9o9vnYtQUu1/M5by+1eM0JYNm04RC8+9wOdOxulK49MoDn7o/t4LFUDbS4Z3Yt5fAJhySM4vM0pAQgLo4GwqPiAsCgOEJYMDhAWDYQZZMEMZVBRYa61K4XlMmcJe+rxb2jDukN2Jznqnk40gSc1lKxUEx6YS1Lxs16kct5/QEt6a9YY680OH0uGrEk8Bmbvf6G61yWl7/3ju/FYGdUdSV4sqsIilX6ZHLDfgFY0ZmwXh13knAlL0+bV6Mefp+jY2D6RCSJlksJdPEml7fLamyNoyLB2tpvtnm/eeEgTR9u5S+RafvjpOJIJLg/sP6ulmE6wkdM6dYJpGs8DY9tNzvZDLPP7jBvzkV23MCOEZSVPxindGWWySOtFJjMVYalXv5L15nw9hrDkCx/e7IAAhIWhQFhUZEBYFAcISwYHCIsGwgyyYIYyqKgw19qVwiIiMWbkHB5YHKE7SRlILxnCxt7flQUihqZwF59dO/QVZamgPzypJ7ck9NW919ET6cIkFdidPLu49SKfcxdn+Xr2xWGZm4uasIh0BQf78TwwgVzhb0IDBrfm2dEdT8joTFi6dG1EH38+PpOBowfbeU4UaaU6yF2cbBdHyQts95Hne3afohmcinc/TwZpvYiwzJw1mnpzZjg1meiH1i9rj9u2q0NPPD2QM5VVt3vNdoMM2r+PM8rFxCToXipsYZHMbMt5sPzTPCmp7dKkaVVt4sZatYNtX8rzcwhLntHhjU4IQFgYDIRFRQeERXGAsGRwgLBoIMwgC2Yog4oKc61dJSxyJ1yyJ4lI2C7aTPecRncwZ0M6cyaCnn58gV36VhGWx3lSxHEPdrd9u8PnY+6eYzcHSUmeC6T/wFb0xtujM99jBmGROUoka5d0G7JdZHC2dGXz5jTO/jxHjUy82OqmmtSKM6VVrVrBdnfd8/wIy9rVe7WMa7aJD+QDciosx4+H0XNPf0+7/z2lK5dFWHr2acktaQfpofvn6l6XJzJny5QnB1JDngwzu0VaaR687xNNdq33LWxhkcxlvyzeTs8/8711MbTHMnHjSy8Pp2o8e72rFgiLq0jiOBYCEBYmAWFR4QBhURwgLBkcICwaCDPIghnKoKLCXGtXCYt0kXmB0+xKulbbpRl3UXqcheVmznQVFRVLkx/50k42RFhkMkNJfZzdIhVHmcNlJ8/VYb2IGAzkFolX37w+/sIMwhLELSbdujfh+VAqWhdXeyxjObx5kLykAa5YsZzWDSy7DFOWg+RHWKQ711uvL6XDh85bDpf5c97XD1MHzriW3XLk8DmuvP/ALS2ndbuKsLz/wb3UtXszlwiLZNMSEb5yOU73Oa4UFkkO8MDYTzj73AXdZ8j1mfxkP7p7VCdOLpBGy5bs5NTT3+r2kSdtbq5NL782QmsZs3sxjxsgLHkEh7c5JQBhYTQQFhUfEBbFAcKSwQHCooEwgyyYoQwqKsy1dpWwSBejiTy4Otam246kyB08tK3WJUwq7pKqdiJPkLdlkz7LklRyBw6+id6Yeb11xBmprMawPDihOw/uv96tzAzCUr9BJa31qFOXxs5OKU/b8yMskkr51emL6T8b2ZCCvPnOSL4W1xMXOCvc1s2H6fVXlthNhijX8otvJlDbdvU4u9dxGj1ijt0hWnML0hNTB1HzFjXsXrPeIJKwjWNr/H2f2s0o70phkQlMJ/GcNCd5glLrxVpYZLtkRZvKXcJsx+RUrVae5nx8P8m1dtUCYXEVSRzHQgDCwiQgLCocICyKA4QlgwOERQNhBlkwQxlUVJhr7QphEbbTnlpAmzcesTs5mWvjoYk96c4Rt5DIiyxPT5lPv//6r64CynVcbeb1bxY+xl2k7LtOWR943V/7uaL8s91YGela9eobd1G/ga0zd4ewZKLQPZBr9gy3FDhKzyvjgF58+U7d/o6eLPx2A3360Z/aDO7Wr5fg1rJVa56jqtUqsMycp7uHv08yH4v1UqVqeXruxdupM08YmdUSH5dEixdtoVdn/Gy3m62wLP5xizYuR+ZKsV5q16lIn3Ga5xDOUOds2cLy9fy07+2yf9kKi7RMSTpo20kzZfzUO5ySW8YdyTgkVywQFldQxDGsCUBYmAaERYUEhEVxgLBkcICwaCDMIAtmKIOKCnOt8yss23l29p++30Ir+c5zss2s9TJmo0u3xjTpf324O1RI5onL5JJzP1lNUZGxmdvkgX+50vTmzFHUqUsj3XbrJ8nJKTTnvd/p++82UQzP1G69yPwjS1Y8qRtHAGGxJnT9cWpqmiZ9Py/aprV6XX+FOPV0Ofpy/kQdR+vX5XFcXCK9/vLPtIy7ANpmzKrNA8+X/Pq0VnEPDY2gJx77iifHPKM7hMSGJGK4a+StJPPnOFsuhF2mp6Z8w4P39d3/ZH9bYZHJN6c+8S1duaLvOibnI+NLOnZ2HlezZi6n7xZstGshtBWWrOZh6du/JU3T5mHxdXY6mdslpbcM4vfy9szcZvsAwmJLBM/zSwDCwgQhLCqMICyKA4RFz0HmnnA04FbtVbBrM1TUUYaCvcb5OXpehEUmDTzIA6F3/3uSVv+xVxsHYSsrUqYaNQM581dv6t23pe6u8y7uJiR3s22738ig+U6dG9Lrb4/S5h9xdF7S9Uzm5JDMUTLQ33rp1LUhffjJA7p5MGJ4bpgvP1/LE1r+Yb2r9vg+zlo2/uGeVJbnOnHFcu5sJHXvPMPuUPW4m9AUTihQEF3Cli/dSYmcNc16yUmWMNlfWi4+eH8liRRYL9ISdtfIDpzFazA5Gk8j13oZTzj5yUd/0NkzkdZv1R4/yoI6ga+7LCIP8z5bQ599vFp7br1q3KQqTX6in9Z1zFGrhFTqf1i4kZMD/MrnqJ+zR45jKyxh56Np+NB3eV6Yq9Yfo0mByMTUZ4doabV1L/KT/RxL0yXb2d4zdjFVmsewPJ4xhkXed5Ulef6Xf9OnH/9pJ+gy8ekjj/Wm4Xfd4pCb5XOjeRzX75weWTLmDRjUmn9Pgiwv6X6OHT2HE1kc022T6zF8RAea9txQ3XY8AYGcEICwMCUIiwoVCIviAGHRc4CwXNHuyBZ3DioqzLV2JizVqlegbty9xbIkcctGHM9kL3fWL0fHUWRkjNZCcpkHQsudYttFMoPJ3CtyB10mP7Re5Bgy+d6fK/+zq2zLPC19uHJ5+7CbqX7DyloGLXmvVEL/4jvoMjO7VCxtxxDIPo6yW8lnff3F3zR71m+yi25p174uj5kZpQ10lxekNaZ8PmYpL2rCIhV8GUAuqYdt5U9au/r0bUFj7uvCA8mvV6ij+Lr/uvwf+n7hJjp9MtxubpTyFXxpyfKnSLoCyiItOZI97vFHv9Iq+9rGjJU7d51q2qwaiTje2qkhV/KvtzacOnGRVizfRYt/3EYXOF22o8VWWOSzxo/7hMdHHdGdj3Q3lOt6+x03c9fEDhTCmdhkkZahHdxC+M2X67QkEI5iylZYJNa3bRFpXsbSrG81kmPK3DktWtYgmSi1zc11SFr9ZBG+Mk/Rfyz5K5bt4vlvTmoTp/bp14LuHdfVYWvWxAfn0to1+7X3W1aSnKJHr2b04ozhVC6gjHYOkoTC09ODRV11ubTsi58gYEsAwsJEICwqLCAsigOERc+huFfU0cKi4sGMa2fCInfZre+up3FFTSqEafxPfjpwlMzT8+EUvf0H3sTZlQZoqXozX7B6cGD/GW0CPkmray08MmDb29tDmyhRKr0VQ/xJxjFcvHCF/13mSl8cSQXNdpEJFl9/eyS35OjHv0hF8cfvN2vdl2y7Lnnx59Tnif4qVSlHCfHJ3MUsgT7lsQ6WSqbtZ2T3vKgJi7CRcR/SxU7+hlsvUsn35u5KlauU1+aFKV9BKsepPHYjgs6z6Ii0yoB422Xio710SQ/k9YsXL9OHs1fSIu46aLtIJTswyI9C+DrX4LlnRGKkLDKXj7RA2Hbvsn6/jIN56ZXhdMutDTI3/8giJeNdbK+1xJWvrxd3dwug8uXLkIdnSe16iwyFX7pqt7/lgMLgvge66s5JuiJ+za0sX877S5N4y76Wn9JaJLEroh5c0U/bnMKtUpcuxfBcMvEs+jGZoi5dzu4efSuNHtPZbnLQd99eRp99ssZy2MyfZfg8ZHC/nEckd6sUcbt7dCeqnMUYncw340GxJgBh4csPYVG/AxAWxQHCoucAYUELi4oI862dCUteS1qWu8WMureTVgGTeUWcLSI93/Og7Vkzf6Vr3HLjaJG7yTKYWSrWSpLsW3LkfUHBZWn+949RNR7k7WiRLFMzOYXvPk6Pa7vIZ4iciTS5ubnRtz88Rk34rn9elqImLHKO8dwCNef937jr1RaHlW/ZR/hYGKWkiKw6vg5DuVVMJoOUO//Wi4jNP7tO0puvLnHYKiH7ynXQuoWxWKSykMrnWBb5bOlSKxnmrBcRyxdZWPr2a5XZuiAtahMe+JS2b7Uf8yLvFRGT6yw/Ja7kn2UR0ZZWFuttIlQduZviR3MftOymnf/Z0Ej6cM5K+m3FP3ZdwzJ35AeWVg9BJjHsaJExNi9wi8mtHRtkJqaQ/TasP0APjv3U0Vu0cyhZklnxMSVd9vPT76DWbWo73BcbQcBCwBTCInc95A+FJ2dJMWKJ5jsG8kUhd0qMKoPctZAvX5RBcQgK8iePbLLtFFSsRPGdsfj4RK5IcBn4D40RC8qgqEdxNxf5Q2/stTC+DNLdp3RpL62/uFHjiYz4PcjuM10lLHIHWypOjz3elyteDakU97XPbpG74F/w+IYPZ69y2GqS3fvl9Rq1gui1N0ZQi1Y1uRLKtVAHy1UeR/H5p6v5rvg6p3fS5W1SkZ34aE8ed9PHwVGy31QUhUXOKoG/H2RMhrQYyLiRvCy9uPvYMzyuIojrAOTgMkjFeuP6g/T2G0vJ0WSVzj5TRKZhoyrU5bZG9OH7q3S7yeUWSZJxUnJTyLIcOxqmTTQZdt5xVzLLftY/pbXith5NaeVvu+26rokIz/54nC5lsUjNOR6/8/GHq7T32MqU9bGzeiwtMQ9O6EGDBrchGQNjvUhL4qi73uduZKetN9s9FnGb/uqd2lgxiyDZ7YQNIMAETCEsoafCtcFknkZVUHkQWaYsGFVBNUMZRJr4y1+TJqM4oAzaF5MmsCa5FjL/hG1XlcL69pSxBlIhKfZlYImWrhQ1awUblgChsK55bj7HFcIic2r06tOcBvDcHXLjzJk4OCqXVPx27jhG0578ls6fi3a0i9Nt0g1sEk80WZW7BknFNqvl0MFz2szuG9YdzGo3FtpA+n31c1nu4+zFoioscj5yHb74fA3N+3StNtbC2TnabpdWiWF3tqfxXOkOKJ91dixpmfnv31M0650V3AKiH0xue1x5Li0r0t3plddHUExsPKdh/k4nO9JlUWLgoUd6URXuuma9nD55icbe8yHlRFoqVwngQexDtJahyZO+IunCKosIkZxT19sa0/0P3EbVHQyOl4lQl/y0lb75an3m+6zLkdXjtjzGRcp+0021+Eav4xt7MqHliGHvOR3HYzn+3aNu1RJIyPc8FhBwRsAUwiI5ziuGlNP1OXZW4ILYji5hiiq6hCkO6BKm54AuYegSVhDfu6445qSHP+fZyA/n+FABAaUpgLv81OLUtQ0bVea0xU1dMru3VJh/XrSVu4ltpOPHL2oVaNuuR9ICIhXkDh3ra3eTO9xSP1fjTSS72UI+/o8LN/P4iFiScTncv0cTLJk7pCQfvzNnGnv59buzTLXrDNb5c1HUv/frdi/XrRvCYtVHa3myezEfG2ZwZqvfuUtSIrdUWS+dOjWg9z4cZ70px4/DzkfRRx+sol07TmhjVdL5uji7Dp27NuJB+V2pbr0QXVem7D5MxnH8sXK3NqZFWlukpc3yGSK78k/GzNx7Xxcaekd77VrIWJZv56+nuR+t5kHz/tS5S0Ntvp0GDavoMtBZf7ZkFpOEC4s5rmT8E5+Kdr1lH7nePjw+Rc5h/MO9+EaGSizwDM8n9MfKPdSyVQ1tcHvfAa1Jxplkt8iNoR94/Mza1fu07HfSOiLsri98XjwmvhTfyGzStBqNYMFo16Gew6xl19+jiivXZOabSznpxAE+Jo8jyzgPjRWfRzlOkDBoSBsex9JRtXBZHwCPQcCKAISFYUBYVERAWBQHCIueA4QFwqIiAuvsCKTy2IWzZyO0VMnnWAAsiy9XGmvUDNa65dh2nbHsk9Ofl6Ov0QnOQiVdqZO5suzDXQVFKkJ4LEFOKqc5/ZyivJ9ch6PctersmQg6Y5W6WLpVSqICkRSfLOZPyem5n+SWkAP7QrUB9qlcEw/mFgLJ4tWSu/jZLlLPOHM6QhNkyUaW00WSNuzdc5oFLIqi+drLvC+V+DNk4Lr0hrBeTnNvFcnm1ax59Vy1FFof49SJSySxK6IRwzeT3VjAJGal9aNJk2rafEPW++fksQi9SNGJYxc0kRTJqxBYls+jnMYjr4kicvLZ2OfGIQBh4WsJYVEBDWFRHCAseg4QFgiLigisQQAEQAAEQMAYAhAW5g5hUcEHYVEcICx6DhAWCIuKCKxBAARAAARAwBgCEBbmDmFRwQdhURwgLHoOEBYIi4oIrEEABEAABEDAGAIQFuYOYVHBB2FRHCAseg4QFgiLigisQQAEQAAEQMAYAhAW5g5hUcEHYVEcICx6DhAWCIuKCKxBAARAAARAwBgCEBbmDmFRwQdhURwgLHoOEBYIi4oIrEEABEAABEDAGAIQFuYOYVHBB2FRHCAseg4QFgiLigisQQAEQAAEQMAYAhAW5g5hUcEHYVEcICx6DhAWCIuKCKxBAARAAARAwBgCEBbmDmFRwQdhURwgLHoOEBYIi4oIrEEABEAABEDAGAIQFuYOYVHBB2FRHCAseg4QFgiLigisQQAEQAAEQMAYAhAW5g5hUcEHYVEcICx6DhAWCIuKCKxBAARAAARAwBgCEBbmDmFRwQdhURwgLHoOEBYIi4oIrEEABEAABEDAGAIQFuYOYVHBB2FRHCAseg4QFgiLigisQQAEQAAEQMAYAhAW5g5hUcEHYVEcICx6DhAWCIuKCKxBAARAAARAwBgCEBbmDmFRwQdhURwgLHoOEBYIi4oIrEEABEAABEDAGAIQFuYOYVHBB2FRHCAseg4QFgiLigisQQAEQAAEQMAYAhAW5g5hUcEHYVEcICx6DhAWCIuKCKxBAARAAARAwBgCEBbmDmFRwQdhURwgLHoOEBYIi4oIrEEABEAABEDAGAIQFuYOYVHBB2FRHCAseg4QFgiLigisQQAEQAAEQMAYAhAW5g5hUcEHYVEcICx6DhAWCIuKCKxBAARAAARAwBgCEBbmDmFRwQdhURwgLHoOEBYIi4oIrEEABEAABEDAGAIQFuYOYVHBB2FRHCAseg4QFgiLigisQQAEQAAEQMAYAhAW5g5hUcEHYVEcICx6DhAWCIuKCKxBAARAAARAwBgCEBbmDmFRwQdhURwgLHoOEBYIi4oIrEEABEAABEDAGAIQFuYOYVHBB2FRHCAseg4QFgiLigisQQAEQAAEQMAYAhAW5g5hUcEHYVEcICx6DhAWCIuKCKxBAARAAARAwBgCEBbmDmFRwQdhURwgLHoOEBYIi4oIrEEABEAABEDAGAIQFuYOYVHBB2FRHCAseg4QFgiLigisQQAEQAAEQMAYAhAW5g5hUcEHYVEcICx6DhAWCIuKCKxBAARAAARAwBgCphCWM6HhVLasD3l6uhtCISoqluLjEikwyK94lyGSOcQbzAFl0H4HoiJj+FokUVCQP3l4ljTm98JShmAug4cxZYjkMiQIh+JehogYKl3Gi2rUDDLsO8qQIMSHggAIgAAIgAATMIWwhJ4KJ19fb/IsBWExVJoyKqgog5IFcMiQpmA/FhZjfjevC0sxLwMLSxlfL6pZKxjCgj/dIAACIAACxY6AKYTlWmwCVQwpR15eHoZcAHQJU9jRJUxxQJcwPQd0CUOXMEO+mPGhIAACIAACIJBBAMLCICAsKhogLIoDhEXPAcICYVERgTUIgAAIgAAIGEMAwsLcISwq+CAsigOERc8BwgJhURGBNQiAAAiAAAgYQwDCwtwhLCr4ICyKA4RFzwHCAmFREYE1CIAACIAACBhDAMLC3CEsKvggLIoDhEXPAcICYVERgTUIgAAIgAAIGEMAwsLcISwq+CAsigOERc8BwgJhURGBNQiAAAiAAAgYQwDCwtwhLCr4ICyKA4RFzwHCAmFREYE1CIAACIAACBhDAMLC3CEsKvggLIoDhEXPAcICYVERgTUIgAAIgAAIGEMAwsLcISwq+CAsigOERc8BwgJhURGBNQiAAAiAAAgYQwDCwtwhLCr4ICyKA4RFzwHCAmFREYE1CIAACIAACBhDAMLC3CEsKvggLIoDhEXPAcICYVERgTUIgAAIgAAIGEMAwsLcISwq+CAsigOERc8BwgJhURGBNQiAAAiAAAgYQwDCwtwhLCr4ICyKA4RFzwHCAmFREYE1CIAACIAACBhDAMLC3CEsKvggLIoDhEXPAcICYVERgTUIgAAIgAAIGEMAwsLcISwq+CAsigOERc8BwgJhURGBNQiAAAiAAAgYQwDCwtwhLCr4ICyKA4RFzwHCAmFREYE1CIAACIAACBhDAMLC3CEsKvggLIoDhEXPAcICYVERgTUIgAAIgAAIGEMAwsLcISwq+CAsigOERc8BwgJhURGBNQiAAAiAAAgYQwDCwtwhLCr4ICyKA4RFzwHCAmFREYE1CIAACIAACBhDAMLC3CEsKvggLIoDhEXPAcICYVERgTUIgAAIgAAIGEMAwsLcISwq+CAsigOERc8BwgJhURGBNQiAAAiAAAgYQwDCwtwhLCr4ICyKA4RFzwHCAmFREYE1CIAACIAACBhDAMLC3CEsKvggLIoDhEXPAcICYVERgTUIgAAIgAAIGEMAwsLcISwq+CAsigOERc+hsIUlNiaeTp68RKdPhVPo6QiKj0+iqtXKU3CwP1WrUYFq1gxWBSyk9aWLEJZCQo2PAQEQAAEQAAGHBCAsjAXComIDwqI4QFj0HApLWJKTUujQoXP01+p99O8/JzVpiYyIpZSUVPL396HAoLJUo2YQtWxVk4YNb0++Zb1VQQt4DWEpYMA4PAiAAAiAAAhkQwDCwoAgLCpKICyKA4RFz6EwhCUhIZm2bTlC879aR7t3n6JrsYmqEA7Wpct40ZDb29KDE3pQYGBZB3u4dhOExbU8cTQQAAEQAAEQyC0BCAsTg7CosIGwKA4QFj2HghaW5ORU2rHtKM2e9Rvt23uGUlPTVAGyWHt5e9LAwa1pypMDqKyfTxZ75v8lCEv+GeIIIAACIAACIJAfAhAWpgdhUSEEYVEcICx6DgUtLEePhNGMFxfRv7tO5khWVOmIRcWbHhjfne7nfwW5QFgKki6ODQIgAAIgAALZE4CwMCMIiwoUCIviAGHRcyhIYYmLS6SfF22lN19fSinc0pKbxc2tBNVvUIlmzR5L1WsG5uatudoXwpIrXNgZBEAABEAABFxOAMLCSCEsKq4gLIoDhEXPoSCF5UJYNL02YzH9+cde9aG5XPuXK00TJ/WiUWM65/KdOd8dwpJzVtgTBEAABEAABAqCAISFqUJYVGhBWBQHCIueQ0EKy4njF2nShM/pxPFL6kNzufb0dKeevZvT27PuyeU7c747hCXnrLAnCIAACIAACBQEAVMIy5nT4Zyi1IdKlXIviHPM9phRUbEUz11TAgP9yNOoMkRyGeK5DEFcBq6EGbFEoQwa9qjIGG3uDyOvRSSXIYHnHzFDGYKC/MnDs2SBhOTRoxfo0QnzKC0tPc/Hb9qsGs18r+CEJTKCr0VCEgXxPDAeHgXDIbuTlzJIdjRJ62zU90N2ZcTrIAACIAACIFBQBEwhLKE8QZzMqWDUH+JoFhbpS29k5TBTmowUFou4GVkGE8iCGYTFUoYgvhYehgmsEregYC6DR8FI9DEWlkksLPlZGjepWrDCkiGPBckhu/MXgS3DwlKzVrBh35PZlRGvgwAIgAAIgEBBETCFsFyLTaCKIeXIy8ujoM4zy+OiS5jCgy5higO6hOk5FGSXMMkQdv+9H5N0u8rLUoq/M/oPvIleeX1EXt6eo/egS1iOMGEnEAABEAABECgwAhAWRgthUfEFYVEcICx6DgUpLGE86P7V6T/Rmj/3qQ/N5drP34fGP9yDxo7rlst35nx3CEvOWWFPEAABEAABECgIAhAWpgphUaEFYVEcICx6DgUpLPE8Tmf50p1aprDExBT1wTlclyhBVL1GIL3z/hhq1LhqDt+V+90gLLlnhneAAAiAAAiAgCsJQFiYJoRFhRSERXGAsOg5FKSwyCedOHGRXn95MW3eeCRXg+9Lly5FQ4bdTM++cLsqcAGtISwFBBaHBQEQAAEQAIEcEoCwMCgIi4oWCIviAGHRcyhoYUnmCSO3bDpM772zgg4fCmNpSVMFyGJdqpQH9e7TnKY9P5T8/EtnsWf+X4Kw5J8hjgACIAACIAAC+SEAYWF6EBYVQhAWxQHCoudQ0MIinyYpnDeuP0TzPltD+/edIZEYZ0uFCr7UpVtjmvRYHwqq6O9sN5dth7C4DCUOBAIgAAIgAAJ5IgBhYWwQFhU7EBbFAcKi51AYwiKfmJSUQv/sPEG///oPHT58ni6GXSFJ9y3bvX08KZjTK9euU5Hata9LAwa3IT8/H1XQAl5DWAoYMA4PAiAAAiAAAtkQgLAwIAiLihIIi+IAYdFzcKWwxKXG0j+X/yL3Eh7U3K8jeZe0784l8yIdPRpGZ89E0qkT4RR7jdOec0tKteoVqGHjKlS9eqAqYCGtISyFBBofAwIgAAIgAAJOCEBYGAyERUUHhEVxgLDoObhKWCKSztP68GW08/Ja8nTzoqGVH6JmZTuoD3OyhixkXAuep0Ymt3XVtXCCG5tBAARAAARAwJQEICx8WSAsKjYhLIoDhEXPwRWV5GPX9tCGiOV04OpOSklLptLuZeme6k9RvTIt1Ic5WUNYMq4FhMVJhGAzCIAACIBAcSAAYeGrDGFRoQ5hURwgLHoO+RWWAzE7aM2ln+jUtUOUlp5KPu6laWDI/dTSvxO3tJRSH+ZkDWHJuBYQFicRgs0gAAIgAALFgQCEha8yhEWFOoRFcYCw6DnkR1iS0xLp69A36dDVXZTKslLWsxwNDnmAmpRtRx5unuqDslhDWDKuBYQliyjBSyAAAiAAAjc6AQgLX2EIiwpzCIviAGHRc8iPsCSmxdMXp16mY7H7KKBUEA2vMolq+jTSBt2rT8l6DWHJuBYQlqwDBa+CAAiAAAjc0AQgLHx5ISwqxiEsigOERc8hP8KSTul0Nv44RSeHUyWvGhTgEURuJUqqD8jBGsKScS0gLDmIFuwCAiAAAiBwoxKAsPCVhbCo8IawKA4QFj2H/AiLHCmd0ig9PT1XoqJKQARhybgWEBZLSOAnCIAACIBAMSQAYeGLDmFRkQ9hURwgLHoO+RUWdbS8rSEsGdcCwpK3AMK7QAAEQAAEbggCEBa+jBAWFcsQFsUBwqLnkJ2wSLevmJRoik4Kp3IegeTrUY5K8H+uWCAsGdcCwuKKcMIxQAAEQAAEiigBCAtfOAiLil4Ii+IAYdFzyEpYJE3xmYRj9GvY13Q0Zg8197+F+oWMoUDPSuog+VxDWDKuBYQln5GEt4MACIAACBRlAhAWvnoQFhXCEBbFAcKi5+BMWFLSk+l03GFaceFLOhV7mMeouFFjv7bUp+JoCilVXR0kn2sIS8a1gLDkM5LwdhAAARAAgaJMAMLCVw/CokIYwqI4QFj0HBwJS0JqHB2O/Yf+vPQDnYs7yWmK3amidzXqEjiEmvvdmuO0xeqTnK8hLBnXAsLiPEjwCgiAAAiAwA1PAMLClxjCouIcwqI4QFj0HGyFRWRl5+W1tOridxSbfFWbALJG6QaarDTybaPe7KI1hCXjWkBYXBRROAwIgAAIgEBRJABh4asGYVGhC2FRHCAseg7WwnItNYZ2Ra+l3y/Mp4TUBPJ0K0X1fFtQ16ChVMunsXqjC9cQloxrAWFxYVThUCAAAiAAAkWNAISFrxiERYUthEVxgLDoOViEJTL5Am2PWk3rwn+hRJYVr5Le1LBsa25ZGUrVvOuqN7l4DWHJuBYQFhdHFg4HAjc+gbi4RNq3J5TOnYsiLy8PqlU7mGrWDCLPUh6UmppGYeej6UxoBEVGxFB8fBKV8fWicgFlqHGTquTr633jA8IZFikCEBa+XBAWFbMQFsUBwqLnYBGWZRfm0YbwFZSSlkyl3X2pTUB3ahtwGw+wr6HeUABrCEvGtYCwFEB04ZAgcOMSSElJpR+/30zr/z5A8Swu585GU8PGlWnYne2pbdu69N/uU7Tyt39J/u4nJaVQfEKyJi4+Pp7UvWdzGvfgbeTp6X7jAsKZFTkCEBa+ZBAWFbcQFsUBwqLnYBGWj05Oo6NX95GPuw/dFnQHtS3Xg8q4+6mdC2gNYcm4FhCWAoowHBYEbkwC/+46Qc9OXUgDBrWmevVDaN5na7XWlls6NqC2N9fRhMXPvzS1blObgoL9yN3djZYt2UFLl+wkD8+S9M57Y6hTl0Y3JhycVZEkAGHhywZhUbELYVEcICx6DhZhORi7k47F7KUKpSpSS7/O3CXMR+1YgGsIS8a1gLAUYJTh0CBw4xF44ZmFdOzoBZrzyf2UzC0o77y1jFYs+4fKlvWmqtXKU+eujWnI7TeTfL+7uamJfjdtOEhTHvuGrlyJo+Ej2tP0V+668cDgjIosAQgLXzoIi4pfCIviAGHRc7AIi2y9lnqVvNx8qCSnMS6MBcKiKJuBQ2Fcb3wGCIBA/glER8XSkP5v0Z0jOtCESb0p9HQ4TX/+R9q86QiV4vErAwa3pocm9qTKLCvWy87tx2jShHl0+XIcdercgD79YoL1y3gMAoYSgLAwfgiLikEIi+IAYdFzsBYW9Urhrc1QUUcZCu9645NAAATyT2D71iP04Li59MXXE6hV69p06OA5mvTQ53T2bBQ1a16dJj/Rn9q2q5vZsmL5xF8Wb6NXZ/xMsbEJ1K17Y/rw0wctL+EnCBhOAMLClwDCouIQwqI4FGdhkdnro5MvkbdbGYqLIoq7lqh1GTBq8CVkISMm0SVMgcAaBEAgWwLHj4bRgf3nqEevZlSSx6as/XMvPfH4fKL0dG3Q/dPPDOasYZ52x3ll+iL66YetlJiYQtOeG0L3jO1itw82gIBRBCAsTB7CosIPwqI4FFdhiUy+SBsjV9CBKztIJoJslt6TSqdUgLCYQBbMIG5G/ZHC54IACOSOQHJyKqWlpXP3L3eKjUmg+V/9TbPf+53KlSvN2b+68b/udgdM4LTGdw9/X2uNSWexWbFyKtWuG2K3HzaAgFEEICxMHsKiwg/CojgUR2G5kBhKf1z8nvZd2UbJaYlU0acadfEYTcHptSEsEBaj/j7hc0EABPJJ4OKFy/TMU99q41caNKxEU54aSLd2amh31C2bDtO0p74j2b9WnWBa9ttUKlnSzW4/bAABowiYQljO8IAw37I+PJlR4QzktYUdHRlLMsFSYJCfgWWI4TIkGVqGqEiePIrLEMQcPAy6FqYqA6d69DAoD31UxkRekm6yoMtwmc7T5uTFdCxuN6Wlp1HJNA9q4zmQqsW1ofREdy3lZUGXwfZ30vK8MDlYPtP2pxnKIBO7lSnjRTVk0jeDYtKWC56DAAiYn8DpU+F0z91zSFpp27WvSy/MuINq1gq2K/h7M5fTt/M3auNX/jelL41/uJfdPtgAAkYSMIWwSAYLmVXVqD/EklEjU1gMqgyYoQxRzEEmmNLEzSAOljJo0mRYGTLETWTBwxiJ1sSNm+g1YSnAMlxMOU2rYudRtNtZ7XuotAdPCOnVjxq5daKYiGRt9uOgYH/mUNKQ76nrHIp3GSL5ZoKvCAtXNIz6njQkAPChIAACeSaQwl3D1q7ZS49N/JLnWSlJg29vSy+/Zp+qOCL8Ko0f9ymPezlLJTjD8fKV06h2nYo85CWdYrhLma+vF29XqY/zXBi8EQTyScAUwnKNM1JUDCnHg8A88nk6eXs7uoQpbugSpjgUhy5hMrj+xLV99OO5Dygy4SK5lXDT5leRCSFb+Xch9xIeZOGALGFXtBsaxZ1D3r5d8S4QAAGjCMTzTa8vPltDH7y/Uhu/Mvb+rvTAQz3sirNh3QFoh2p7AAAUcElEQVR6+aWf6ExoJE8qWZvmfjlBS38sN0rGjJxDw+/qQPfc28XufdgAAoVJAMLCtCEsKuQgLIqDpaIeUqmc9qVdmL+Qls+6XoYAbeCkZbsrfsoYlf1Xt7OszKH4lDieU6UkVfapTT2D76TGvjdnfoSlDMW9om6GAe9mKENmYOABCIBAkSBwOfoaz6vyOe3ccYLq1q1IU58fQh1uaWBX9tnvrtC6g129Gk8vvXwHZxLroKU8/nX5Tnr37V9p1px7qXmLGnbvwwYQKEwCEBamDWFRIQdhURwsFfUbU1jS6UDMTloQ+rYmK9KSUqNMA7otaBg1KHOT7rvHwgHCghYWXWDgCQiAQJEgEHY+moYNnknS5VzmY3nj7ZFUpWp5u7L/75EvafUfeyTrMf20dAo1aFiZIsJj6IVnFpKXtycLy1i792ADCBQ2AQgLE4ewqLCDsCgOlor6jSgs6ZROi87PoS3hf5CnmxfV921BtwXfQdW969t991g4QFggLHbBgQ0gAAKmJiBpjWUCybGjP9KSCfUbcBO99ubdDss844Uf6Zefd/BfB6JFSx4nb5aUeXPX0K6dJ+iF6XfQTW1qO3wfNoJAYRKAsDBtCIsKOQiL4mCpqN+owrL36hbaHrmaynkGUqfAQRToWcnhd46FA4QFwuIwQLARBEDAtARSU9Po12U7aeqT31HlyuVo0uS+NHBwG4fl3bblCM/T8hvt2R1Kd45or2UKO3w4jCZO6k3dezZz+B5sBIHCJgBhYeIQFhV2EBbFwVJRvxGFRZ1hOiXxOJYS/J+HWym1ycHawgHCAmFxEB7YBAIgYGIC0sKyf98ZWvD1Oi2N8agxnbTU6I6KnJSUQjLwfvPGwxQVdY3KBZSmHr2aUfsO9i3vjt6PbSBQGAQgLEwZwqJCDcKiOFgq6jeusOTsq8XCAcICYclZxGAvEAABMxGQtMSJiSnaAPqcpkOXgfcyzQSyGJvpSqIsQgDCwhAgLOqXAcKiOFgq6kVZWFLTUyg6OVwbp1KmpJ+WtlidXc7XFg4QFghLzqMGe4IACIAACICA6wlAWJgphEUFFoRFcbBU1IuqsCSmxdN/VzbSwau7yKukD/WpOIrKugfk+tvDwgHCAmHJdfDgDSAAAiAAAiDgQgIQFoYJYVERBWFRHCwV9aIoLHGpMbQjei1tiviVIpIukLe7Nz1W+x0KKlUl118bFg4QFghLroMHbwABEAABEAABFxKAsDBMCIuKKAiL4mCpqBc1YYlkQdkStZJ2Rf1NV5IjtW5gN5fvQX2CR1MZd79cf21YOEBYICy5Dh68AQRAAARAAARcSADCwjAhLCqiICyKg6WiXpSE5UJiKP0dvoT2XtlKcSkx5FmyFLUP6E0dyvelCp4hGMOSjy9NM8wyb4Yy5AMh3goCIAACIAAC+SIAYWF8EBYVQxAWxaGoCUtY4iladXEhHbqyixLTEjRZ6VxhELUv34f8Pcpz8mK3PH1JWDighQUtLHkKILwJBEAABEAABFxEAMLCICEsKpogLIqDpaJu9haWtPRUOptwjFZe/JaOxuyllLRkHrNSmm4LGkbtAnqRT0lfba6VvH5XWDhAWCAseY0hvA8EQAAEQAAEXEEAwsIUISwqlCAsioOlom5mYUmjNDodd4gWnn2PIhMukshL+VIVqVfFEdTSrxO5l/DI9/eDhQOEBcKS72DCAUAABEAABEAgHwQgLAwPwqIiCMKiOFgq6mYWloS0OFoXsZRWhn2rFTrEuzr1DRlNjX1vzleriiKg5wBhgbBYxwUegwAI5I/A2TORtGXzYQo9HUFXr8ZRakpq/g5YBN4dGORHt9/RnqpULV8ESosimpEAhIWvCoRFhSaERXEoCsKSlp5GJ+P20/zQt8nPo4I210qDMq1c+h1j4QBhgbC4NLBwMBAo5gREVma9vYL27gnNlkSJAptyPp3S07P9eJftUKaMF911dwea8vQglx0TBypeBCAsfL0hLCroISyKg6WibuYWFsvXVCp3BUtNT9ZmtLdsc9VPCwcIC4TFVTGF44AACBDt23OaZs1cQVu3HKW0NOfW4OFRkmrXDSavUvnv4mvLPSYmga7FJtpu1p6npqZpP6VkafxY+5mWRrI9NSWNUrhFSB5nVXZHB27foR69O2cs+fv7OHoZ20AgSwIQFsYDYVExAmFRHCwV9aIgLFn+dufzRQsHCAuEJZ+hhLeDAAjYEFiyeBt9/MEqku5hzlo6/Lhi/+TUQTR4SFsq6Z63bI82H5ujp+GXrnKZ0jUhCQ+/ov28eiWOLoRdprNnIynsfDRdvHCF5G9EfHwy/0ui+LhESk7Oumtb5SoBNPHR3jR4aFsquJajHJ0idiqCBCAsfNEgLCpyISyKg6WibgZhqVjJj1JKxpO7myd5uRXuXSkLBwgLhKUI/m1DkUHA1ARiY+LpIxaWn37YSjH82NEilfq69UPoldfuoqbNqzvaxdBtFy5cpqOHz9Ohg+do/94zdIblS+pTEeExmvDYFq5kSTfq3qsZPf/SMCpf3tf2ZTwHgSwJQFgYD4RFxQiERXGwVNSNFpbYa3GU6H+BjiTsIl/3cpyquKeWqjjL32gXvmjhAGGBsLgwrHAoEACBDAKnT4XTzDeX0fp1BygpMcUhF09Pd+rYpSE998Iwqhji73Afs2w8fTqctmw6TGv+2Ku1xEiLTEJCsq54depWpMlP9KNu3ZvptuMJCGRHAMLChCAsKkwgLIqDpaJupLCEXYqgQ5d30/bUX+hSciinLU6jh+u8RnVLF96XvIUDhAXCkt0fErwOAiCQNwKbNhyit17/hY4dveB0TIi/f2m6a+QtNO7B20gGr5t9uRx9jXZsP0Z/rdmnjdORLmSWpYyvF9096lYa/zDfgPMpZdmMnyCQLQEICyOCsKg4gbAoDpaKulHCkpAaR/9c2kxrIxZRVNp5HvCYThW9q9Hoak9SJa+a2f5Su2oHCwcIC4TFVTGF44AACOgJJCel0DdfraOv5v1FkZHSlUr/uuVZzVpB9OjkvtTttqbkWcrdstnUPyMjYmj1n3to1e+7afc/p7SxLlLglq1q0JSnBtJNbWqbuvwonLkIQFj4ehRnYZF+tCdOXKSTJy7RmdBIiruWSJWrBlAINz1XrxFEtWoHF+rgODNIk6WiboSwxKRE054rm2lT5K90MeEsR2cJqlG6PnUKHEjNyt7isjlWcvI1ZOEAYYGw5CResA8IgEDeCEiLxKyZy2npkp2UmKjvQmU5omQMu6lNLXrksT50U+uiU9GXbGIyxuW7+Rvo91//1aRFWokenNCD7nugG8m4FiwgkBMCEBamVByFJTk5hQ7zl8jqP/fynY+TdOpkON/didXSFfr5eVOFwLIsLBWoeYuanDv9FirrVzgDvouzsEQmXaTt0atpZ/Raik68xKLoRi39O1K78r2olk8jcitRMie/0y7bB8KiUF66CGFxWVDhQCAAAg4JHDsSRi89/wP9yy0RztIF+/h4Uv+BN9FDE3uR3FArKksap0SWSTIXfLOelv+ykyfLjKfefVvQ5CcHULVqFYrKaaCcBhOAsPAFKG7CIndwtnH+96+/+Iv++++001zsEpulS5eifvwFKakIg3im2oJeiquwhCed11pV/oleRzHJl8kt3Z2aeN1KPasOoxCfaiwrhX8XCsKioh3CUtC/9Tg+CICAENi4/iA9O3UhyXeOsyUwqCyN45aJYXd20P4+O9vPbNslTfL5c9H0zZd/06Ift5Af3wR97PF+NGBQa7SymO1imbQ8EBa+MMVJWGTCp53bj2uTVu3fd0ab/Cm72JQsJX37t6Kpzw4mPx78V5BLcRSWS4ln6e+IJbTn8ha6lnKVvNx9qG6JdtSqVA9qWKU+lSrlWZDInR4bwqLQQFichsgN9YLc1Za5Jrz5LnapApio74aChZMpEALy91laId589Zcsj1+/QSV6lCv7nTo3IvdCnJ8ly0Ll4EWRlhPHLtInH/1Bf67aQ/0GtKKHJ/UmmZ/FjEt0VKxWrHIBZcxYvGJXJggLX/LiJCwnebzKC89ys/OukzmSFctvRGnuc3rf/V21LxfLtoL4WdyEJY1nqv/n8jr6+dynFJ96jcp6BlCH8r2pRlIb8kj2pcqVKnDlyZgBlhAWFeEQloL4TTfXMS9fjqPXZizWJsJr2qyaNiDYXCVEaYoLgSssza9O/4mWL93l9JTd3UtS566NtEH49epXcrqfGV8QKdu88RDNnvWbNumk3AjtyOJltuWPlbtp4YKNWrHGPtCV5bCx2YpY7MoDYeFLXlyERWajXfrzdnp1xs/aWJXcRLtMYFWrdhDN+Wgc1eSB+AW1FDdhkQxgR2J30y/nP6PU9BTqEjiYmvt1pGsRqRQXl8T9lAMgLDyDMgb+Gz+OpqB+581w3AVfr6O33lhGKTy2TybomztvfIG3Jhtx3lE8TvHkiQsUG5uQ74/38vLUuiS5uZWgeg0q853+wh1jl+8TMPEBznMa4Icf+JQOHwpzWkpJCXzHne1o7P3dKLiiuednsT0Jacn87JPV9N2CDVr577m3c6GNk7Uti6PnUVExdN/oj+jI4TByK1mCnnx6AI25r5ujXQttm4w7/nfXicxMa/n5YA/uNePPXfK8vD0pKNi/SKTKlvOFsDCE4iIsIgOv8J2bP1buyVOs+5b1pgkTe2pfMHk6QA7eVNyERZAkpyVSTMplLX2xr7s/ebp5aXd6JWMbhMX4ijpaWHLwi1uEd7l08TIN7vcWRXOmJlkaNKxMH3wyjruplC/CZ+W46EsWb6P5nEI3gtPN5ncRUXFzc+PMhaRVfJo0rUq9+7Sgrt2b5vfQxf79ktp404aD9NjEL/nGVaJTHuUr+NIzzw+l7j2bkXTdLiqLdA07ykkGZK6WcuVKU7v29SjARDPfz5u7mj6cvUqTA8liNvreTvT0M0MMwyvdVTdvOkTPTf2eEzKk5bscbnwDWs6rBP8Oy1iievVDOAlCS2rbri55s8SYdYGw8JUpLsJyJjSCHrr/Uzpx/FKe4lHSKna9rQm9/+F9eXp/Tt5UHIXFERdLdywIC4RF4sMM0uQoTm+Eba+9/BNX4jdknkrdeiH0znv3UN0i1tUm8wSyePDRnJX0xWdr6RrfDHH1In8fZPxPk6bV6I2ZIykwsOCTtLj6HMx0vATuEfEtt0DM5JY/Z4v0fKhbryK9MGO4NreJCGRRWSTdsXQPK8H/uXPsiACbYdmy6bDWbf7c2UhtThwp16Chbei1N0caVjyRlGVLdtC0p75zeRkkhmQclIhKt+5NtAk9a9QMcvnnuOKAphCWA/tCycPdnTw8jWlSvsL9lxMSkjTDly9dI5bCKMO5s1H0zNML+ZfQycxUOThxmZflpZfvyMGeedulMDhkVzLpz55ocDxcvnyNy5BsaExaylCe73zJHxQjFpmfQLLayZ1Eo7qcmKUMlfiOv1Smi9KdVCNiJjefueq3f+nJxxeQdLewLNVrBGrfce061LdsumF+SlcwGUicnCRdThPpKs/DNeOFRVrKWcvfBckMee+4rtS3X6sszzuSu82cOxNJ879eT4cOnac0roDKInduGzaqQu+8fw9Vqx6Y5THwYtYEZOLFV3lslcxf4myRCmfvfi20FoDgYEiiM0453f6/R76gtav38XdCqvYW4duuQ1364puJOT1EgeyXwuWJ4IlF42ITKYH/Jh47Fka/LttF6/8+mPl50lo1bvxtdMstDZz+nUhl+YnhtNLHuWvoz4u2aRN6Wg4gv7vVeDqLl16+k+f6qWW67G2mEJb9e1lYuELk4WFMk+aVK9coIV4qh2WMKwNXUBO0CmrBlUHuGEjKxHz4ijaR5IszClJYCp6D5ZfT2c8rmdfCV4tLZ/vlZnsapdLG6BXkUcKD2vn35ntKWd8Js5TBUFnIkCZDZQFl0MJMpEkmdK1br5LTP0S5iUfsS1rXitsHzaRDB87pcEjGomnPDaHbejTTbb8Rn4ik9Og8g86di8o8vZCQcrR81bQcp8y9xhWoxyZ+zl1WjmbeDJO70s1b1qD3PxhLgYWQDj+z8DfYA+kKtG9PKD06cR5dvOA81bGc9pNTB9JdI28lGduCJW8Elv68jTOo8qTNVmmlRVgaN6lCi355Im8HLaB3nTp5id5/91da+dvuzE9oc3Nt7iJ4u9atNXNjFg+ka+jcj/+gBV9vyPzdld2792zK34FDtbGjWby90F8yhbBc47s+FflL0svLo9AByAcWly5hp06F09hRH9CFsMt54uzJ2ar69GtJb7w9Kk/vz8mbbrQuYTKoPjE1jpZc+JS2R6wlDzdPGlB5LHUMGJAlDnQJU3jM0BUKZcgyVIvki1IR/PLz1TTn/VVaS6b1SVTkAcyTn+hHA4e0td58Qz7+b/dJemT8vMwxLSW5a0hfntDvrVljcnW+Mg6oT4/XSMbdWRa5AfgQj3kcPaazZRN+5oGA3Olf99c+en7a9ySt/84WEZX3PryXOvDddblTjiV3BC6ERfMY38W0ft1BboG83uIqR5GWwpVrnuXJnM3RbU3KtGvHcXr5pUW6xAz38fw88k9udOZ02brlCL3z5jLat/eM7i3PvzSMhg67WRufpnvBwCcQFoZfXIRFG3Q/gwfd/57HQfe+3ty/sTuNe7B7gYXsjSQskrI4IimMfjg3m07GHGJ1SaOyHuVoWNWHqalv+ywZQlgUHsiCeThkGbBF7MUTxy/QpAnz6ExopFa5k9ZtyxLAcy7cz90qJPvSjb4sXrSF3np9Kc8/E6+dqsw/M/XZQXynvmOuT/2h+z/hivX17iluXGnuwql3Z3NmSVSgc41T9wapo8hA8IULNlGSTWXaescGDStxwogHTDuviXVZzfRYxoh8Ne+vzPFdwlhualgW+U5YueY5ksRDZlikbGv+3MOD8BfSVe7eJYv0Upr+6p08EWcbbUxKTsspsTV71q/00w9bdW8ZOqwtPTltMPkX8Nx7ug/N5sn/AQAA//+l0RkrAABAAElEQVTsXQV4FFcXPXF3x92dosXdvVDaUqOlLtS9/etClRoVChQoFHd3dy3uEnf3/PfOsptsiOxudrNDch8fGX9z57w3s++8azYJCQl5sGKJikpESnI6gkN84OzsYBVJtDKEkAxO1pIhknBISUdIFZLByTI4ZKRnYfWqw/jwvQVIp3VjS5Vq3vj+p0fRrFlNYy81+PyoyATCIcOiOJQmTCTJkFpGGXLysnE19SyWh/+J6ykXkJuXC08HH3QPHIFe/qNLEwH5MvhSf7Av9XxLnKCVoUpVXzg6WkmGCGqL1AyIDNbHwRJ9zBp1ZmZm46vPlmLRgn2oUy8IAYEe2LrplE4UT08XPPBQNzz34iDdvoq68sHb87B0yUFkZGh+Dzw8XDB7/vNo0LCK0Y/87ltzsXD+Pr3r2rargx/oN8PXz0Nvv2wYj8C5s6GY8sVy7N55Fjk5ucVWMHzkXXj7vTHwoH4sxTAEzp8LU8ZFR49cQb8BLbBz+xkkJqbpLvbxccOi5a/QuMRXt8+aK0kk2+xZ2/HDt6t1YtSrH4x3PxiD9h3r6/YZspKVlYOffliDaT9v0Du9W/fG+PTL++Hnr55310YIC1BZCAv3xuvXovHpR4uwfesZ5OYW/9HT67m0Yeeci5YDXfHJhw+jlmvjwofNtl0RCEtWbgYupZzCqvAZuJl2WSErvo5B6B00Gp19DRsEackCfyCFsAhhiVQBcTPbS27linbtOIP3356vfPc//HQc+Jvz9ZcrdVI5uzhixKh2eP/Dsbp9FXElPT0TD9//I44fu4a8PM28Zd16wVi57k2THvf1l2dh+dJDete261APP/36mAye9VAxbYNJCvddJi08wC6pvP3+aNx7XxfY29uWdJocIwSSacL86y+XY8nCfWjctBpef2sEXn95Nq5djdbh4+Xlihmzn0GjJtV0+6y5EnozFlOJrCxdckAnRs/eTTH5laGo3yBEt8+QleIIy91dG+LzKQ/A39/TkGrK5RwhLARzZSIs2dk5OLDvAr6dshKn/rtR4kyNtgc6ONrBv1MUmj4WjwZBjXBPtecQ7FRDe9isyzudsCTnJOBs0hFsilyA8LRrsLGxQTWXeugWOBxtvbobjJUQFg1UahioiwwGd1vVnxgbk4w3X5tDs9Rn0LN3M+UHecPaY3jj1Tk62R0c7DBwSBt8QT/WFbmcOXUDLzz7l97AjInaZ1+Z9tzjRn+N40ev6SDjwXKffi3w7dRHdPtkpWwIsOZ/MQ2sp/28HtHRScVW5uvnjm++fxgdOhk3215shRX0AI+Htm35D1O/W0NWDYk0SXGP8l0YN+obnD0TqiPyrHn85ocH0aVbE1Ugceq/63j3zX9oDHdTJ8/jT/bBxEm9weTKmBIRHo8fvlmFxYv26132wENdFS2zp6dx9elVYuYNISwEaGUiLNx/2DRs7+5z+OO3jThGs2tZZCJRXPEP8EDXHo3gMHw7El1D4WjrhGbeHTEg6D4EOFYt7jKT99/JhCU+KxqH4rdid/RqxGZGwt7WHvXcm6MfYVXLtSFsYPhslxAWTRcSsqAeHEx+qVVyIZs9LVu8H7/8tF6ZSPjlt8fRoFEVbFx/DM8//ZdOSltbG/To1Uwxf63IM9RLF+3D11+tRDSZZWvLJ5+Px6h7Omo3DV7euB6D0cO+0jOj4d+OZ58fiHH33W1wPXJi6QiEhcbh92kbsHTxAaSlZhZ7QavWNRWTntp1goo9p7IfuHolCj9PXYstm/5D/0Et8dSzA1CFzPIff+QX7Nl1Tjeh6+bmpJCZoSPaWR0ytozZQSZrLz8/QzGfZ4GcXRzw+psjcc+9nWBnZ/g4g689sP8Cviat3bGjV3lTKeye8dW3D6J7z6bgCRy1FCEs1BKVjbBw52OScuzYVawhn5Yzp28iLDQeMTRjw/bdrq6OCAryQj1SLfIMzeBhbXARB7EufC6i0kPhYueOtr7d0cN/JPwcg83al+9kwnI4YRvWhM1GdEaYQlaae3VEr4AxqOJcB7Y2xn1EhLBoupUQFvXgYNYX3QqVHTt6RaNZPnkDEx7uhkce6wV3d2ecPnUdo4ZO0ZOoY+cG+OHnR8EzqxW1fPTBAiyhWdWCg94NW99Dtep+Rj0yz/r/+P0azJqxTTfAcyS/u159muPNd0YiMNDLqPrk5NIROHzwIn78YS0O7r8INukpqtiRhmv0mA546bVhRs+6F1VfRduXlZWNpdT/f566Dp6klXjl9WHodHcDMqOzI5OwWTQ2OqrD1oXMRJ+bPBCPTOxldRjYp3Pxgr1knr9YJ0uduoF47c0RCsHQ7TRgJT4+BTOnb8WMP7fo+TUPHNwar5FpXHCwtwG1lN8pQlgI68pIWLRdjDvsxQvhCL0Riys025CclI6gYC/lR6tR46qoXsNfmY3Mzssi7cEWrAmfjYTMWLjbe6GT/wB08x8Gdzvz/SDdyYTlaMIOrI2Yi6SsOLT07oxufiMQ6FTNaLLCbSOERdNDhbCoBweNJHfmXw4y8vPUNZg3ZxeaNq9OA+lRqFc/BKxNYQ1D147v6j3YXe3r4uvvHkIgTdxUxJKYkIrJz83Avr3ndSSjWjVfbNj2vtGPu2r5QXz1xQqwaQkXxrQh/XaweU3LVrWUffLHvAiwtnDzppP4mUjLhfPhxVbuTc7ibCr0wIPdrBY4pVjhrHyAgxh89/VKRZPy8MSeNInRHb6+7opUX3yyGP/QtyIjQ2N9whqHRx/vpYpAHPybyCZci8g0UFt69GqCF18egoaNDLd6yaQ+tGXzf/ie6rp8KVJbFb2zNfEGTTQ0b1HTaG2NrhILrQhhIWArE2HJQy5y8nJgb+NwW5cqjSyk56ZiZ8wKbIpYhPScVPg7hWBA8P1o693jtrpM3VGaDKbWa8x1+WTBuIhtbBLGkcEyc9NR160ZfBwDyQzMxphb687Nl0Gc7iVKGBFYcbrXvRumrOzfdx5TPl+Oixcj8M57oxUfFW1UStYqt2z8sl61LVrWxCdfjFdIjd6BCrLx34lr5MszV895e8zYDvjos/sMfkLGbe/us8pM/ynSWrFTuA2RlbsoMtj9D3ZH/wEtDa5LTjQegaSkNGVm/J85OxEXm1JkBexDWat2AN6h6FGd725Y5DmVcWdcXApNXuxUtAu16wTi1TeHo03bOjoofvx+Nf78bbNO68BRMkeNaY/3PxqnO8daK5cuhuPVybP0/FeYbD3z3AB4eRvmb8Lv7qEDFxXt0kFacmHNEkf1e/DhHoqmibVKaitCWKhFKgthScyOxTrSADjYOKOtTw9UJ2fwgqU0spCHPCRmxWJr9BLsjlkNJ1tX8s8Yhy5+QwtWU6b10mQoU+UGXpxPFowjLAZWb9Bp+TIIYRHCIoTFoJemmJPY5v9XclJesewgunZrrJh+sOa4YOl011uIp0GMtrB2+b3/jUHrAoMY7bGKsFwwbzeFMl2LCCLC2vL1dw9i0NC22s0Sl6xNWUfBClYsO4Czp0MV0xke4PQb2BL3PdAVTSjaEg+ApFgWgRs3YvA1EfEtm0/qtAGF78iD7S7dGinRr2rUDCh8uFJu8wTGp2RSxZpGdlQfPqq9Yh6qBWPG9M2kxViDtDSNjxD7hXSlML+//D5Je4pVljwpsJ+0os899afOf4XNWp9/aRDun9BN0W6WJhgT3ZX0LWQfqP9OXlcmGjhsc+++zTFydAc0aVaNUoyoj6zwcwlhIRAqA2HhWf+t0UuxPvwfONu5onvAcPQNvFevbxtCFlhDE5sZoUTCcrRz0WgSHMz3ETREBj2hLbCRTxaEsLB9uuRAsX4OFNGwmP6ir1h6UDF7cCLH1FfInr9LVwoiUiivUO9uHyD0ZpzuJjzr+hrNurLzfUUsn320GAv/3UM5jvKdtjeSOVhVMgsrrrCvRHR0IvZQHhAeIJ+ggC0cqYqdcnkwN2BQa7BmylgfmOLuJ/sNQ+DIoUuUqmCxEvUzN1cTnrrwleyLNZo0aDwL716B/bIKP3dR2/wt/WPaRsybu4tyrrTEi68MQbVq+n5bbOb4/rsLlByBXIctEZb2ZCb61+xni6qy3PalE4FaQsEyPnx/oe6enH9l8qtD0Kt3c92+olYiIuKVsNicx+fwwUsIC4tXcv41IxPZYSPuwt1dG1M+RG/VmYEVfBYhLIRGRScsrBm5kXYRv1/+gPwr4hVTrkEhE9Daq1vBvqDkIzAkaSOTlqzcLMW3xcHGvExc7YSFE0JeTjuNhKwYNHJrAzd7y8QozydNomERDYtoWPQ+VEZssH/e1O9WUySwE+Rk3xOPkqO9zy079YLVjB01hQbg13W7eND9As1aDhl2l25fRVnh4CpvUWjnnZTTo+AAlxPmsaN2cSUlOQOxMSmKz09ychr8AzzRqnUtCgPbHI2bVFWS/VpCq8JBAc6cvoErl/Pt7IuT0VL7OXkea9vUGISBieS//+zCLz+uQwyF7S6qsGlYlao+eOqZfkRcOhV1SqXYx1hxGONP/rcQrm7OePaFgQppKRxZa9eO0+TjNROsjeBC8KE+JVNdtup1q+IUG5OEzz5ejJXLD+vk8CYzMI526Oev8b/RHSiwkpqSSe9usjLWZXM4P/oG8iQD++o1ptwynLDc1dWpwBXqXBXCQu1S0QlLVm4mpl/7CGcSjsDOxg5NvdrjvuovkUmXfgQcU8nC+ZRj2Bm9Eh6Uyb2H/wj4O1YxubebKoPJNyziwnyyoK9hySXfn+2xy7EjcqVC1tr79kK/wPuKqKHsu/JlEMIihEUIiylvFM9GziU79Z++X0vOqFUoWtJQxU6dncILl8nP/Ym1q4/rdvNM41PP9sPYeyteSN7jFC3tow8W4uSJfILGD15a+FImN9oM62z+xZGJevRsQv5AbcEaKVvb4smODlgTVk5QNEsepF2n0MnWKhzp7MFHumP4yPbWEqHE+3Lm8x++JUfsBft0ZkyFL+BBefMWNSja1aBK689yk0zovvp8GXZsO00hgDvj+RcHEXG5faB+9MglPDHxd8VkTIsjm5HOXzS5yAkP7TmWXnLCyKcen4ZzZ/MDLTAZ5bZlUlVcKfjuciLqRjTB0J6Suvbu0wItadLhTilCWKilKjph2R23BouvTyNn+2yEONfCgzVfRbBzzdv6qKlkYX3EPPB/Dt3byqcLBgY9AB+HwNvqN2SHqTIYUreh5+STBX3CsjZyDrZFLlMCDnA+mvZ+vTG6ytOGVmvUefkyCGERwiKExaiX59bJx2mgO4UGJ6dP3SRtyWAlH0hxg/L/vTufTER2627DNt0PT+yBSU/10+2rKCvsbMyJB8PD8/1X3nx3JJo2Kz0ZcDLNOLP9/5pVR8gcLJls3R3A5KVvv+ZKmOiqhUxrzIFZWFickj+HtSzWKtWq+5PTdUciaUHWEqHU+7Jf0fNPTyciek1Pc1bwQtaADRjUCi+9OlSZVS94rKKvZ1LEr/XrjuKdN+ZRNvhgvPrGcLTvWHRiTSYGY4ZPAWsjtKU6aV3n/PsCAqwUppvzrxwiU65HJ/wMTnjJhcMxjxzdHn37lx7gIon8dU4cv4Z/5+9W8iWxb5OPjzu692iMe+/rgrpkWqb2IoSFWqiiE5bPzz2BiLSbcLX3QJ+ge5T8KUVFrzKVLBxL3InVYX8jMv2mosHp6N8fAwLvV0IfG/sCmCqDsfcp6fx8sqAhLGk5KVgSPg1HYnaAwzvb2dijvmcLjCGyYu48NFq58mUQwiKERQiL9r0wdMmhiv/8bRP+nrldMX2YTCE/2WyiuPLNV8vx+6+bdIedaRA+lpKwcfhjSxXO/3LlchQCKMHiXe2LHjhZ4t48w/zP7J16M/Hrtrx7mx1/UffOyyMtS3YuOevH44N35lNY5AuK1oWJYM1aAfjtrycREuJT1KUm7+N7silPLjkcW6tw9DMHB3uDnJqtJSPBREkAz+PpSX/ofC+KkoUzoU98ojceeqRHpQp1zCaFnBCSTQwfoRDFDz/as1h/DU7v0L/3R4oZlRZD7tc/TXsMjSmghLGFk9Mu+ncvpYzwVkIjs4mhsYVDs8+dtZ1CiC/XXVqPiNcLkwcrOY90O4tZUd5deoc4CAnnTVq5/JCilWES25Hy7bHmjUMZG1I4yti+Pecw66+taEI+MBMe6gF/E57JkHsVPEcIC6FR0QnLlPPPIjTtGmq7NcDjtT+EM0X3KqqUhSxsjlqITZELkZqtsaEdXf0pdPDuAwfSRBhTyiKDMfcp6dx8suCDXPtM/HrlHVxPvkCeQHmUENIBHUizMiT4EcLRraRqynQsXwYhLEJYhLAY+zLtIv+MV1+apeRVYKfaPn1blFjFv+SA+/67/+rOYc0Bm4y89a75CQs7un9MNvSspchI1zi99+rTDD/++rju/pZa4Vn4D+g5t1L+BW3hvAvT/37GaBt2dvZ+6/W5CunS1sWmYfMXv0y+Hs7aXbIsZwTmzd2Bj95fVKyWhcXhUMesZTFkZr6cxbfI7ZikzJy+Bd9/uxqcFPbr7x/S5Vwp7oZdOryjJNPWHg8gn62PPrvX6OSMN8iUsV/PD8GEkvO8PP18fyWil7ZeQ5fsT/M2+Z5tIH88bbmbAoi88fYIo8Ovnz51g5Jj/k1hzfNNy/pQlLAXXh5sUF2n/rtBJnO/kj9bEk10+BIJG4hh5WAuKYSFWr6iExb2vTiVfBD13JoXS1b4BSgLWcjKzcCaiNnYG7MOaZSjxYEG9o/UehsN3dsYlTixLDJoX+KyLpkspKSkwd4vHf9GfI2bqVcUssJmYH1DxqKP/7iy3qLU64WwaCBSQ3QskaHU7qqqE9hOnR3tly05SD4H7ZSBWWnO0osoYtYnFGmpYBlMIX6/+naC4q9WcH9Z11dSBKLvpqzCTTI7KVjefn8UJfjrXnCX2dePHr6MLz5diqNHrujqvufejnj73TFwIpJmbHnx2enYvPGkLiM429I/9+IAPPF0f2OrkvPNiMBTk6Zh2+bTNEimUXIxpSuFOp78ylCTNAbFVKnK3ey/cfjQRbz0/EzY29kpGesHDGxdqqwP3Pu9Yk6qxdDXz50mMEZi8FDjAnGsWHoAb7w6R2kL9oP54KOxlOekYan3L3wCa41HDfuKxmmJyiH2WeGgIO98MBqenkVPQheuQ7vN5Gfu7B3Kd0i7j5eTaXKHk4wW5dejPY9N69atOYLXX5mj7OIoZc9PHog+/Uo3S9PWYepSCAshV9EJi6Gdo6xkITk7AavCZ+BI/A5k5KTD1cEN7zT8Ey52xUevKCxbWWUoXJ8p2xGR8TgbexJ7cuchMvua8qFxtnNDr+CR5UJWWGYhLJqWE7KgHhw0kqj7L5tN8I/p558sRXJyOoIoUz2bXJVWOMRnRAGfDj6/V+9m+Pjz8WZ3sv3hu1WYM2sHOfSm6Yl17/13U3b4sXr7zL0x/1Y0qYLP+tlX9ykDH1MifLFJyM9T1yGB7OO1pXpNf6xe/5bkYdECYoVlRHgcHhz/I65diy727jwofe3NERh9T4cK3VYp9B14+cUZFB3sNNjUs2Ytf7gYQM5Pnrih8xVhEL293UgDMUjx9ygW1CIOhJMP1ovPzQAHRuDADePGGx/Ig0kThyJ+4N4fdHdwo/wrbNbH2g1jCwfPWLf6qKKFLhgpsDsF0XiZQr/XbxBSYpXnz4XhjVdmK2OjEaPaYST5d5U2KVRihQYeFMJCQAlh0fQWc5AFJi1LQn9T8rQ42DrihXpT4O3gb2B3LJuWx+CblHLipeiLWBT+I0JzLih56gOdq6FP8D24y6tXKVea77AQFg2WQljUg4P5erdlauLJ5CuXI/D2G3Nx7Mg1ss+3M9jngOeh2WykYOEkk//7ZCw5J/sW3F3m9bl/byen9w00KaGZKdVW+MobQzHx8T7aTbMv2VF36ndrFLtzJnZc2PF20fJXUbdecIlRhooTZgE58H7z1Uq9pJscZvXvf55HvVIGPcXVKfvNgwBnMH/2yT+QEJ9PJrU1c0S31m1qKdrHNnfV0e6ukEsOY/zkY78RKbM1ymcni3y1sshXQ1s4QeNDRDiepchixhb+NnESSldX09JAMMH487eN+JY0s9rCxOs5koU1waYUDmv+6oszEV+gfzRoFKJMmrQxIGEuy8S+ZWw+W15FCAshLYRF093MQVi4ptisSBxL3IFAp+po7NaWTMLsNDcw4K+5ZDDgVsWecjRuF9aE/4347CgEu9TAqCpPooZrAyIvJcQNLLY20w4IYdHgJoRFPTiY1pPL7yoeEHA+ii8/WwaO6NOxc304Ohn2Y5pNP7z/zNmlJ2z7jvXw7gf3kE23eaPnsE37FHKc3bv7nBKtx41mujlh458zn6JcCp56Mphzg03lviRzsPXrjuuq5fCmv01/krRQpt13/tyd+O7r1TToyY+mxE7d/CxNm5cedUwniKyYHQEmqH9Q4Ik/ft2oy4rON2GzPfZhefJZCo4zsFWF1q5wzqHxY76lIBEJFBGsnhJ+21CgOTHqsaNXdWZ1LkQ2xoztSGZhow2twmznZWVl45knfqdwzGd0dTKpeJfMwRpRHhVTCvuxsUlnBpl4aQt/h1ir3LFTA+0uVS2FsFBzCGHR9ElLkYXM3HREZFyHh71PqdoWS8lgzFt3Iyoce2LWAG5p6BowGEHO1YmqWCbHQHFyCWHRICOERT04FNdX1bCfzRpOHL9KjqDTlAHY4xwF6dGeBovGgR06t3ubnOA1mge+kLO2v04OrYbMNhp8o1snckLLteR0f+ZMKGrRTOnQEe3QgBLTWbLs3X1W0YZwaFNtGTWmPV5/a6QSHlW7z5jlj9+vJmfmbYr5nfY6Tii5YMlLlDXbfNHCNLO5+QMr7b3Ka8kaCdZG3WklkcyQPnzvX6xacVgRnXMQcTS3iZN6Y9CQNkpI6jvtmQyVl7WIv1Iyzd+IsDVpVg0//fqYEqXL0Ot/+mENJeNcr8s9xO3fp18LxWHf0DrMdR6bXA7s8zHiYjUTA9wfOdHrx5+NB5uGGVuYzK5eeZgc72frXcoJYN/73z1o1aa23n61bAhhoZaoKIQlh5zrr6edQ2pOMmq4NFCysBujFbAUWdgXtwG7Y1eTTA3RM2AkfB2Kj2VvKRmMeeHyyYJ+HhZj6ijrufkySJQwiRImUcJKe584izOHJl6x7BB6U7SbDz+9F2zCYWhh7cygvp8gnHxZtIWTTb5MySa7dm+i3XVHLxfM260EI4iiyD7a8vHn9yr+K04GaqK01/EyIyMLk5/9Czu2n9HZ+nMSO86ePWvucwVPLdN6bGwy9u89Tz5G+W1TpgpNuNiHoju1o0R75g7ZbIIoRl2STlHo5v69g5IlLleuq0IZzR+lkL6j7ulYockKPyyHeH7xmRngELyvvTUc94zrbBR2/5BT+qcUiCObTMO4sGaKI4z9MeOpUuthQnDzRiw4PLKLq4PSb1zKkEn+4P4LmDB+qu6+7C9y/4NdlfxSup1GrPCYd9pP6zDn7516V3GQkmdfGIhqpKEuXNiPhh3++VpXepYqVct/fCSEhVqlohCWa0RWVob9haiMUPQOHIuOvv1hTzlDDC2WIgvfX3oZV5LOgqNsdfTrj/5B98G1GEd8S8lgKAZ8Xj5ZKP8XUitnvgxCWISwCGHRvhdFLfmHlCNvffLhYvj5eSgko1ef5kWdWuy+dCIso0dMwaULEbpzymojrqtIBSs82/zzD2vx15+bdQMwHvT8+ucktGpd22Bfn4KPwoOod978B1ev5Dt2s+P+h5+OpWR2HQueWqb1YxTR7L2351F277Ay1VOWizlcM4cB5hn2O6Ww1nEPadW++mwpzp4JA5vqcW6hx57sY3RUqTvlmbVy8m/GWxQCeN2aY+jWvTG++u5Bo595E+VOeZEii7G5qLY0IzPHfxa+WKIZHU9+bNl0kkKHn1RM8dh3pjWZb40c3UFpA21dxiy/m7IC037ZqLuETV45XDtryYwtnIDyCEULfOeNf/RCkvtRFLRX3xyu1Mk5hwqXnTtOK8/FeVx4gqM9EXgOq1yjZkDhUy22LYSFoK0IhIXNrlZShK79sZsoQlca7g4YhOHBE43Kg2IpsrAzdiVWhE5HZk6movXpHTgGnf0GwsnW5baObSkZCt+ItVExmeGIy4pAiHMteNr76k7JJwtCWFJTMmgmxddq5hBiEqbplmrAQfeCqGyFzSUef/gXXDgfjtFkY85JIksKy1mU+KwtePbJ37Fz+1ndYZ5BfJrs/EeP7aTbd6euXLsaRSFMV2INRQbSluYta+Dr7x4Ch1o1tnB9nHxuI+WE4AGatnSiGejvf37UrBGDWLOymQaA/A5Yq7CG5e4uDZXgBNaSwdj7Mln5kYIsHD50WdE2DhzcWjEFY5Owil5WrTikDMgdyIzr52mPK1o/Y5+ZEyM+/sivupDdfH1j8hf5a/YzxRIPdkLnyZPZlLC2CSWYrEVElwNscHmeEjNyyGBTyrhRX+M4+dRoS/MWNfDpl/cZlDNFe412GROTpATfmE+5p7SFtUcDh7TGM88PIBPVQO1u3XLPrrOYSuaftesEKZEX2cQwkb67DzzUjUKY9yuRwOkqMcOKEBYCsSIQlsPxW8lRfDaiM8Lh7eSHcdWeRwO31qrIgZKVl4kNEfOwLXoZsoi0eDv6o1fgaLTz6X0baSkPwsLZ6i+l/Ifd5KfCpKW9b1909h2gZLDnd0oIi+bLosVBCEsCRMuj6RNq/Dvli2WY/vsW1KkbqAzAGzauarSYbDby+sszsXZ1vkM6hzGdOKkXHnuij9H1qe2CXTvP4Gty9D996qZONA6j/ByZf/iSVsqYEksDnr9nbMP8f3YjLi7f2T4g0BNTf56Ilq1rGVOdnGsBBP47cQ0ffbBQcRp3oVC+ffu3wKSn+t5RhMtUWC6cD8O7b86jAf5VxUn+f5/ca1JVXM/oYVMUkzJtBRzu98dfJqJGMaTvBN3z4/8tQluKvPbQxB4IDPRCt47vIoZMVpnALFz2irYqg5c8JhrU91OdnxiTix69mmIKaY2cnY2LOsa/Yxwo49efNigBP7RCcGARDo/cs3dzODjoB0niYB2TKSxzo8ZVlAhpeaS5e/O12diz67yivfr48/vA7355FCEshPKdTljCM65iOWkwziYdQW5eLvoHjydfkVG3kYHSOpQlyQKHO94cvRDbI1cgFzkIcAoh0jIGbb17ktlafiQfS8rAz8/k6WTiXmyLWobrqeeVyF9dA4ZgaPCjumhm2oF6CNn7mmLbXRrOhhzPl0FMwoQsiElYce/M9q3/KQnh2M58Epm6PE0zhKYUJiyffLiQoozt0V3OIUgfpDwHL7w0WLfvTl3hxJhffb6M8qXk5375fMr9GDCoDX3jbjf/KO45r16JAte1kmZYWfOhzeEQSPluXiTN1sjR7Yu7VPaXEwKR1C7vvzMfW7ecgj0NPjvf3QCvvD681Nwa5SSeRW+TTAkRf6CksQvn76UIgfaYt3AyRUS7XWNgiBBx5DvV4+739QhLTTJ/+uSL8Wjbru5tVXAkr5/I7JLDSXN0wQYNQxStYL+eHylamkY0kbJ4xau3XVfajnWrjyh5XLTnsSnn+AldFE2ydp8hS9ZEc96kpYv3I/RmnO4S9leZQJoSDvzh4+Om269dmUp5o9aSZvaX3ycp5l+c2+fRCT8pPjqdSev44SfjKMrh7T4v2uvNuRTCQmjeyYQlIzcN26OXK/+TsxJQy60hxpJ2Jdi5hjIYN6azWJIs5FGu+LisKGyMXIA90WsUzU9Tz/YYUfVxPSd8S8qQk5dNzv9rsDN6FSLTb5BGxQ513JtgYNAE1HbLd6zNJwtCWMQkTB1kQUzC9L9k7JOxZdMJJQLQGdIacGjgb354CN16NNU/0cAtNuX4eeoaZeZRewnPZN4/oSvefHeUdtcduUxMTMUf0zZSHofNOoLBvj4//PIo5eKoTflXSg/XnkBhi/eSicwaimy2b88FvTDGNSlR5NOkqek/oJVR5OeOBFPlQnN46W++XIFlSw4og2QOX/zJF/cp7axy0cssXlhoLBbM34NFC/YpzuEc8WrhsldNyi/EwrDj/F0tXtMP+0vm0W+/P0rRRBQWmJMpfkxare6k/Rh3b2cletdff2yiMOvLFZOpYSPaUlvcX/iyUrfffPVvIhkHdedx6OG33x+Nnr2a6faVtMImm+xPs37tMSWUujbvCn/f2Ddr3H13Y9DgNqRpdb+tGu5P993zHdickHO+8Hdy84bjeGXyLOW7MWTYXXjvwzFGa3puu5GBO4SwEFB3MmE5m3xEyRlyjbQFjpSokclKC6/OeloLA/sCveQJipOYpTQLeaRbCUu/hhVh03E+6Riae3fCiJDH4eWQz84tKcOGqHnYFbUGCVkxijalNpG7QcEPoaZrQ505GGMlhEXTY7Q4iEmYmIQZ+g2x1Hk823n1SiRiKaxnGGWO5qzPJ09cx/VrMUqeBHb27tCpHnr1aabYmderFwIPz9t95ArKd+jgRXAUJU4YeflSJFYtP4SzhRy7W7WppWQC5zwlPFvt7+ephIXljNlqLDzIOn70CtLoubhkUo6FU//dUIjGxQIBBapV96WoSZ3A5nPsFFxcSUvLItyjcJrq4HDIrFXR5m1g7XOP3jQ4G98ZbdrUgVM5JpArTt7KvJ8Hl99/s4p8KA4p0an4d/y9/41Rotzx4LSildCbsbhMiWLj41Jx7lwoTpKPxymavOBEmRyIw5Pe/wkPd1O+B8Eh3mjarOS8QFzfDTJ/Yk1JWGg8mTydI80CWa2QCZS28MRIT+rzvfu2oO+LMxzou8PmYcHBPjhEmpXFC/fivge6UhhlSoVAEwET7v2eNC6XlIhsX307QblOW1fhJWt5z9NzaHMapdO7xzmbpv2yQRfOmK8JJPOr+0jDwmHQWYtUXOHr2ZzrwP6LFHQhlJ4pThdwg99Vdpp/gCZkWtKkBQdkKKpcvRyFr79chknkp8IBB5KT0/H5x4sVUsiYso/fPUTOyqsIYSGk71TCEpV5E+vJN+Ro/E5k52ahk/8A9A8cr0cAjOlIliQLWjnY2T0+Kxqp2RQaz96D8rIEKJoO7XFLyJCRm4rl4dNxjBJCpmQnwd7WAQ09WhFZeRBBlNzSrlAkNe1A3VLETfusJS3zZRCTMDEJU4eWp6T+auljC+bt0vlM8ICZHT55tq9gYdtrT/rh5Qg699EP8dDhdxU8rLfOg4svKIki+2DkUsbmVJqFTKKcFZzvo2DhQbmnl4sSdIIHIFXJEf81ylvC9uhqKzRGw6WL4Xhm0u/IuTXI4sEWa0mTyFSm4LNxTgkmdJyluiQNC0cUYkLH72A+UbEHh3weOaYDOaI3UoJyVMQBsdratzR5pny5HAvn7SGzv1RF4/gDBT/gUMxFRXwqrS61H+fB96wZW5WgD/wdSE1Jpz6aqdfH+Rn43eXw5vxb/vtfT5UYyvnnqWsVYs/aWw7CEU/fhsLfGH5XOIGkF707dkRWbGl70NA2ZFLVXSHs/F1iTQV/N86du4kHx/+oECjWZLD/CocDLq5s3niCchptRSg9Gxd+95h0cFjvgoUnGLzIv47vwXl1iivK9fQsLFPB0Mx16wVRtLjO6N6zqeJAz4EJiiuclyqafNZ4woa/r+eI+Dx4/1SqM03R2n3x9QMmBe0o7n6l7RfCQgjdqYTlQNxGLCdtRXJWImVkr45RVZ9EXbfmlOLQtNkUS5CF0jogH0/KjkdaTgoRLV8kRmeaVcsTT9qUBaFTcT7xBLJyM5TQyh38+6JvwDi423sXaTaXTxbEJExMwtRBFiq7SRg7jM8iR2+ehSyt1Cab9bfeG4Uu3RoXe+pC8sPgbPM8G2tMYY3L+x+OJQdU4x37jbmPKeeyM+yaVYfx8ouzTLm8xGvYn6du/SA0bVodnYmkNKElh0HlmdqSCE+JlcpBsyGwYP4uMmlcTxqwBEW7wANJDnnLmseKWE6fuoFvKerdjm2nS308HtQzcZs+65liB/hMUDiJIptNsXbGmPI4+86RpqGw1pWTqv726yZk0Tfriaf7kI/X0BKrnTdnh2KSGmHmaHisFWKS0oAmGbpQGOIWLWvBm3xVOBiDMYUnPBaSyd0H7/6rEK/R93SgxLojlfw0xtRTlnOFsBB6dyJhuZF+kXKuzMC5xKNwtKMoIEH3UqSrQXCxu91pytAOYg3CEpFxjbRE83Eh+Ti6BQxHvezOyEu3V2ZEeAahLIU1K39c+RCXk8+A/Vc4J033oOFEVsZTQILik8oJYdGgrsVBTMLEJKws76E5ruVZRs7a7UJRcYoyYWJNgvaH3pV+iKuTX0XhaDcF5eBZVDZ3YJMK1jQUP08JxQwiiRLAcQkI8IC/vyfNrpo2KVRQBkusa2aGU5XfNHPVzwMbdsblZ2ZMWTtTUQfC5sKsPOvZtPE4haxeBTb548H2pKf64JnnBpZoLlSe8lniXmz6yEkMeQKjuASxbL7E7y0pQRStR0lJPxk3Ni/lb4yfvzsci8hDon2ObBq4szaWvyH8PgQFe5FJlZtyH+050VGJuG/sd0qdTOhXb3gLpTn/s3kqm7zyJEpBbai2TlOWTFZYy8Sma/zO8vfO1HeXvy0PkInbyePXlcSS75IfTTfS0pRnUQVhuU4x3d0p8kFZB6imAhcbm0Rq7wz6MfKiBi3bINlkGUjtlpZGMlAYPEfH0mU4m7UXm9JmIjMvHbVsW+Ful1EIsGczhZJ+ekuWjsNVGiNDybUZdvRy6ilsipyH8PQrpP1wxl32w1HXoS1CgvwMwqGku0RmX8ey1K+RkqeJ398ydxC6e4/SRQMr7tp8HLyVH+fizrPkfjXIwPHa06lPBgZ6oyS1sSVxiIlJJBkyrStDNMlAPyaBQYRDCT9kFsWBZOAf5loUB58HjFJuRyB/ZtRGb/Bw+5maPTyRyoMZQ4q27jtFm6CV15BnK/0cw/AsvR45w9wIbNl8At9+tZJyEGnIyn0PdMFLrw1TTMLMfa87sT7te2DIe6tRrOTRN6H0j4L2XB5vFXX6Vsob9OZrcxV/lHbt62Dm3OcNqpcxzq+77Igb8iyG3uXShXAMGfC5olHhsMrf/0SRVUswSTO0XmPOUw1h4VBtViMLCmHJVGJJG0IWjAHY0HM1pMlwGWJwHXszyAY7Lxx3O41BbZvWht6q2PM0g2TDZSi2IiMOcMLLA/EbsCdmNdLJLCw3yQmdPSixZO1ucHUq2WnWkNsctF2K06l70Nf9EQRnNzLkEuTjwOTROoNDNcnAIUutNlBXSBOTBWvKwKQpy7oyKITFRUlEZq0+adDLIycJAoKAxRHgQe2Z0zfwxSdLsG/vBWUwPGzkXXiDTHQ4f5AU6yHAbTP5uenYvPGk4jvyBYUP55DBHK2LTTZZ+zLpqX7WE9DEO786eSYFdDisBDN4dFIvPEHPwCbj27acVLTQAyjSGI/jLVlUQVhSSHUXHOKjOABa8mGLq/tONAkr7lnKst8aJmEsb2J2HDaQlmV/zEYkxqTBNdsXj7R+EY19W93mEF+W5zP0Wq0plDjdkymUZLpXYumL47+hb4+cJwgIApZEgLUGHP1p6rdrsIaiWLH5UGvyrfrsq/J1gLbkM97JdXO0sYkP/YIrlyMpb4k/1m1+V3kcjrA3+fm/lKhlnKflTiocOa1vj4+UKIE1KSraH389iWo1/ClS4zVMofxODRpVxfOTBxVrnmeuZxXCQkgKYdF0J2sRFr57eMZ1JTzz4Sv7kE7RPhrWaogH6rykRPEipatGwHL6K4RFA7QWB/FhER+Wcnr15DaCgCBQAgKKrxYNfP/6czMl8NynRLOqUzcQ7380TiEttrbq9K0q4ZEq3KEF83fj+69XKdnt77m3IyVWHK+Qyh3bTuGzj5fgU8qLU1TiSTUDsWf3GUoW+Yvi/9KtR2P8NO1xJYIah33m5504qTe6m5gDy5jnFsJCaAlh0XQZaxIWluAS+bMsOz0H56JOwMEvBwNq3os+/mOVyF4aCW//m5tHYTdzk8EJNN3sPMmZvuwqSe1AXTQsomHhHqeGCF1qkOH2t0/2CAKCQHkiwN+BGdO34N9/dismRvUpm/rkl4dQNvuGVvMzNPX5WTPETvOsMWL/5YoSGnvG9M2Y9vMGJT8M517h5IqXLkZQGPUlSnjgjz+/z1TIrHbdpvXH8exTf1J0MEc8+Uw/PPJYL5w4dhW/UY4Y1rS8+NJgJVGmpQUUwkIIC2HRdDNrExaW4uDVA9h4bRFyfRLRu+oItPXuWWwSTCYrkRk3cCh+C0IzrqCNVzc09+ykOO9rnsi0v0JYNLhpcRANi2hYTHuT5CpBQBAwFwIc9YoTE/7y43olRwjn9niBzHB69mluNV/LsjwbD+IP7r+g+Nxw2GEf39szrZelfmtde/DABfzvnQW4SM/3xNN90aFjffwzewc54KfizXdHqTIkemlYxUQnYfyYbympdiLlt2qDHr2aUwjoo0hJziB/nL5o0apmaVWY5bgQFoLxTiAsHJaXS+Ekh8pOM/1RA2FhGc7FnIZvsDPqeTWGg23RiZYYjwgyI9sevQyH47ZRjpUstPPtjf7B98HPIahMiGgH6qJhEQ0LdyQ1aDfUIEOZXiq5WBAQBExGgJN3cvhiTm54+VIU/CmR35M0GB45ugNcKXTtnVbYb/mvP7fgz983g/N5PEGDXo6QWlHKTNKCbd38n5JwlcMIc0jjsePvRstyGthbAsdVKw5h3txdSKYktL5ELjkQzr33d6FnqmWJ2xVZpxAWgkXthCWZEiseid+hmEbV92gJ3zIOyIvsCYwDkYUUcrK25kC9sAzZeVk4nXRQEbm+Wys427koCSAvp57G3th1OJmwF9lEXnwcA9En8B608e5RYo6V4p694H4hLBo0tDiIhkU0LAXfD1kXBASB8kOAw7pvJ/+H36dtVHJg+Pl5YBQN8sdTCOOScouUn4TG3+nQgYtK4tarlNLi5VeHKlG0Klr0wwvnw3HjRjScydytVZs6VgsqZXzrFH0Fm+5dpNDGNyjgg4e7i5KLJSjYu+iTLbRXCAsBq2bCkoc80iIsx4rQ6XC198CAkPvR2WegRbpDYbJgkZuUUmlhGULTL+PPKx8RCrno6jcMHX3743zKMWyNWoqrKWeV2qq41EIHX1JLenWGp71vKXco/bB2oG5N4pYvgy/Z91ontLJWBiEsQlhKf2vkDEFAEDA3ApwgUTu4P3niOvz83JXBPedbqU6+A3diiaYQ7TNIuzJn1g506FQfk18ZgoYUZUqKIFAaAkJYCCE1ExZOrDj32jeIzghXtAijqz2Bph4dSmtXk44XJgsmVVLGiwrLcD7lOP64/CEyc9Lh7uCpaFAupvyHm6kXKQGkLWq41kePALIL9WhjFod7Fl87UBfCIiZhSn8gR1cJa1zGF1suFwQEAaMQ4Bnta1ejKbLUYsp1cUpJBjlgcGvFfOpOJStxcSlYtngf/p65HewX8fiTffHIxJ53pFmbUY0pJ5sFASEsBKNaCUtydgLm3vgapxMOw97WEa2878aYqs+U2eSpuJ5TmCwUd15R+zmXSlxmBLLIhMvFzk3xtXGz86CAxLZwtzfcNrWwDMk5CVge9icOxGxWbmtrY4fcvByl/hpu9dErYAwaurcmXxfHosQyaZ8QFg1sWhxEwyKExaQXSS4SBAQBkxEIp/DFU79bjRVLDyqJITt2boDnXhyIZs1rmFynNS9MSEhVyMps0qxcvxaDuvWC8PJrw9CzdzNriiX3voMQEMJCjaVWwrI9ZhlWhs5Adm42/J2DMbbac6jn1sJi3aswWTD0RtGZYZSpfg0upZxSyAQ7yrP2w9HGWfnQOtm6KplU2P+Ej9nbOlDkL3u4kIkbn+Nk56xZUkjilPhs5GTYoXpwEDyc3clvxwXRmaH44cKrSM5KVERypDoaebZBV/+hqOnSyKxkhW+gHaiLhkU0LEp/EA2L8t7JH0FAECgfBGJikvAVJeRbt+YY5bvIRnMiKS9Q6FiOpnUnhv9NTEzD/Lk7MZ/CMd+8EauAOGRYW8UcjCfEpAgChiAghIVQUiNhSSJH+6kXXkNURqgyIO8dNAa9/MeYfXBesJOYSljY+X1N+GwkZsUVrO62dSYqTGRsYacsWWtkx/+IvGj/52VTksg8W7g4OsPBjmKzK8TGFSfi9yIzN0PRLt3l1xPd/IbD3zGE6rG77T5l3SGERYOgFgfRsIiGpazvlFwvCAgChiPwzpv/YOXyQ8jOylHC4L702lDc1a7uHRe+OC83D+fOhWLm9K3YueMMBfbRTDp6e7tiEkU5m/BQdyUZoeHIyJmVGQEhLNT6aiQsf1/7AkfjdylJlRp7tcG91SbDw96yERlMJSwbIudhXcQ85JAmyBLFjkhJDpmBeTp6o60PZVQl53svBz9L3EqpUztQFw2LaFi4Q6ghpLAaZLDYCycVCwKCgA6BeXN24kvSrqSnZaFqNV+8+8EYdOLEkA7mn5zT3dQCKxxxdMG8XViyaL/ii5OenqW7S6vWtcgcjEhY+3q6fbIiCJSGgBAWQkhthOVU+l4suvEzUrKTFA3Cc/W+QC3XRqW1ZZmPm0pYTiUdwKqwWQhNu1xmGYqrgDUzdwcMQv/A+ymjvUdxp5llvxAWDYxaHETDIhoWs7xYUokgIAiUiMCyJfvxzZcrlAR9zi6OeP2N4Rg1tuMdpVk5e+Ymli89gO1bTyM6KlFJmFj4oQcPbYM33xkFP3/L/pYXvq9s39kICGGh9lMTYXENyMPCqO9wMek/8gfJRaeA/hgT8rRFTJ8Kd11TCQvnSjmTfBjHEncgNjMSGTmpiuzJWQnIyE2nCF8ZhW9l9Dabfg2u+hB6+Y0y+lpjL9AO1EXDIhoW7jtq0G6oQQZj3yM5XxAQBAxHYNmSffju69WIIGd7GxsbiqDVB08+01/1+TsiI+Jx/OhVnDp1HXt2nVd8VJIoMSTnjymq8O/qU8/2o4SRnWBrSybgUgQBAxEQwkJAqYmwHLVbif2J65CWk0JhfD3wfuOZ5KBuvghYJfULUwkL18nkKgfZigkbOaEot+EcMlw4PGNqTpLyP0VZJuu2U3OS6VmTlQhjN1IvI5W0SkUVNgsbU/1pdPTpX9Rhs+4TwqKBU4uDaFhEw2LWF0wqEwQEAT0Ejhy+jDdemU3Rs6Lp9xJ4gvw7nnluABwcrZODq6BwnAsmPIyigFJIYiZTERSEhOW8cikSZ86EIikpHbk59PtP/7PpP/utlFTatquDt98bjcZNqpV0mhwTBG5DQAgLQaImwrI1dwZOpVL29twsPF3vM4oKVn4h/8pCWG7rWUbsiM+KxobIf3AgdgtlsS96Voad7x+s9RpaeHY2ombTTtUO1EXDIhoW7kFq0G6oQQbT3ia5ShAQBEpCgM2mXn5hJg4euITc3Fzl1KrVfEq6xOhjnEU+IMCzxOt4HJSZme+HmpSYDo7uZc7i7OyAseM7K+Zg5qxX6qocCAhhoXZWE2Gx9UvBodR1lLvEVzF/4oF6eZXyJiyslbmefh7ryWH/bOJhxbG+uGdlHJ6o+z/Ud2tZ3Clm2y+ERQOlFgfRsIiGxWwvl1QkCAgCCgJseRAeFq9LDFmQLFRUiKpU9cEzzw/AqDEdK+ojynNZEAEhLASumgiLNWf1y5Ow5ORl40LKCayNmIMryWf0ujjb77I1mdakjA9y3pYXG3yDqs519M61xIZ2oG7NtsiXwRdOTuVHWgviqZVBCIsQloL9QtYFAUGg7AjcvBGDb6esxMb1J5CRkR9Bq+w1q7MG/l3v0rURvvp2Ary83dQppEilagSEsFDzCGHR9NHyIiyZ5Ih/MeUk1kfOJ7JyWu8FsaEcLAFOVZCcm4C07GQdabG3ccDbjX+Dt0OA3vmW2NAO1IWwiEkY9y81mGOpQQZLvGtSpyBQGRFITc3ALz+uwz9zdiGFHNQrQ/H0dMH9D3bF85MHV4bHlWe0AAJCWAhUISyanlUehIWDCRxP3IWtUUsQnnZdr0tzxnvf3Oro5DoCO9P/RWTOVd1xJiwfN5tLiSNddPsstSKERYOsFgfRsIiGxVLvmtQrCFRGBM5TMsV/Zu/C6dM3S3VSryj4hIR449FJvdC8Rc2K8kjyHOWMgBAWAlwIi6bXWZaw5Cl5ZQ7FbyHNyjykZOlHA3Oxc0NTr/ZomtcLLll+WJz2JRGWK7rXwdHWGV80X6jbtuSKdqAuGhbRsHA/U4N2Qw0yWPKdk7oFgcqGAPuspKVmKpG1KsOz21EIYxdXJ6uZOFcGjCv6MwphoRa2FmHJyE1DcnYCXO3ckRyTi5SUdFhzkGxJwpKYFYu9ceuwOXIh5WnRz8viZu+Jlt6d0d1/BGwSPBCaEIoV6d8jJveG7v3zcPDCh03m6LYtuSKERYOuFgfRsIiGxZLvm9QtCAgCgoAgIAiUhoAQFkLIGoSFycp/iftxOukgaro2RNXMFrBJd66QhCUy8wZ2R6/G3th1t5EVLwc/tPXtjo6+AxDgWAVMmi7HXcLajF8Qlxeq679BLlXxRoNpum1LrmgH6tYkj/kyiNM923sLabI+abLkOyd1CwKCgCAgCAgCJSEghIXQsQZhYafzFWHTcTXlHOp6NEVn+7Hwzale4QjL5dTT2Ba9FCfj9+qFLbaBDQKcq6CT70C08u5CzvT+Sj9lwnIq+iS2ZE1HAiJ0fbeWewO8UPcb3bYlV/LJgg+prx0seati686XQQiLEBZ1mKUV21nlgCAgCAgCgoAgYGEEhLAQwOVNWDhR4uaohaR1WAMO9dfOtw9aoj+cMr0qFGE5m3wEGyMX4ELScb1ubGtji2DnGugVMBpNPTvA2c5Vd5wJy5HI/diZMwdJiNbtr+fZDM/U/ly3bcmVfLIghCU1RbQbavAfUYMMlnznpG5BQBAQBAQBQaAkBISwEDrlSViy87JwPGE3loX+CfbrqOJaG4OCJ8AvtR7SU7MrDGE5krAN26KW43rqeXCCSG2xtbFDVdda6BMwFo092sHB1lF7SFkyYdkXvh17cxcgxSZWd6y5b3s8Wv093bYlV4SwaNDV4iDmWNY3xxLCYsk3XuoWBAQBQUAQUDsCQliohcqTsERkXMeysD9xOuEg7G0d0CNghKJpqChO91l5mdhHviq7YlYjMv3mbWSlplt9DAyagFqujW8jK/yyMGHZcnMVjmAl0m0Tde9Pl8BBGB3ytG7bkivagbr4sEiUMO5naiALapDBku+c1C0ICAKCgCAgCJSEgBAWQqe8CEtqThJ2xKxUImVlUqSsZl4dMSTkIQQ5VaeBeuIdHyUsNSeZ/FWWYH/sJiRkxlLSR33NSgvvTugXeK/yvKxpKaowYdlwYymO26xBhm2y7pSewSMxLGiibtuSK0JYNOhqcRANi2hYLPm+Sd2CgCAgCAgCgkBpCAhhIYTKg7Dk5GXjfPJxLAz9CTHpEfB1CkS/oPFo590LPHi/0wkLk5WtUYsoEth6JGcl6jLUaztgB/8+GBD4gM65Xru/8JIJy+qbc/AftiDLNk13eES1x9Ddb4Ru25Ir2oG6aFhEw8L9TA3aDTXIYMl3TuoWBASB4hFITEzDzu2ncOF8ODp2aoD2HesXf7IVj1y8EIbff92Ihx/tiUZNqllRErl1RURACAu1ankQloSsGCwgsnIq4QDsiKC08+2FwcEPw83OU+lXdzJhic2KIK3RIhyO34b07NTbyEq3wOGkWRmne9aSXiQmLOzfcxa7kG2Tn69lTI2ncLfP4JIuNdsxISwaKLU4iIZFNCxme7mkIkFAEDAKgSQiK/Pm7sRff25FZkYWevZuhucnD0L1GprImkZVZqGTr1yOxKoVh7Bm1RFcvxaDH356FN17NbXQ3aTayoqAEBZqeUsTlty8HJwj7coflz9QQvtWda1DpmAPo5F7a7q7jdL37lTCcj3tPNZGzMW5xKPggAIF2zf8JQAALw9JREFUCzvUj672NFp7dYWjrVPBQ8WuM2FZHPYLzuftQ45Nfn2T6n6Axu53FXudOQ9oB+qiYRENC/crNWg31CCDOd8xqUsQEAQMQyA0NBYfvvcvtm05rVzQb0BLvPrGcFSr7mdYBRY46+Txa9hOGp/oqESc/u8mrl2NJpP2DGRmZiMvLw8/T3sMPfs0t8CdpcrKjIAqCMu1q1Hw8HChnBf2VmmL2JhkpKZlICDAyyIypOYlYlHqF4jJDoMzPNDasR/aOw+mkMb5j6uVIZBkcLQyDobKEIkr2J25EFfTTt+mVbHPdcIgl2dQ06kJaZRs8x+0lDXGYUvGLNx0OYpc22zd2cPdXkJt+2a6bUuuxJAMadQfAgOpLRyt0yfzZfAmGYr297EkBlx3TEwS4ZBJOFhRhmiSIV0dMgQRDg7WagvCwd3dGbXqBFmtT1q6v0n9goAgcDsCrGH5e+Y2TP1uDRo1rorJrwxB1+5N9MYPt19l2T0z/9qKLz9dqtzEy9sVHchE7cjhy4gIT1D2CWGxLP6VtXZVEJbrTFg8XeiH2DpJ+uJiibBQNu0ACw1Q0ymjyMr0HxGZdRU1HJugj8sjcM710OtzsbE0MEvNtJgMejcrZsNQGdiZ/nrGWWxN+Qexdtf1auOEkB6OXujv+jiqoCFs8owbbLMMG7KmIdyJSJBNvtP+wx5fwNs2UO9eltqI1Q7Ug7zg4GAdwiIyaFpXcNDgwOTR3Y0JS6AQFku9+FKvIKBSBHJycpUxCv8eOTtbZ5xUEJqIiHjEx6XCP8ATnjR2S0xMxTOT/sCxo1eU04SwFERL1s2FgCoIS0pyOoJDfKz2IlraJIwbKz03FZdSTyHQsSr8HUNua787xSQsMzcdp5MOKKGZ4zLyEzvyA9nZ2FNemZoYVeVJ1HBpSMEEDNesaAFhk7C5EV/iau5xPa3Ne03+hI9DkPY0iy7FJEwDrxYH8WERHxaLvnBSuSAgCNzRCPCEihCWO7oJ7wjhhbBQM5UHYSmtN9wJhCUtJwVHE3ZgdfjfFAlMo/rVPhf7qNTzaIEhwQ8hxLmWdrfRSyYsiyJ+xIWcA+TDojEJc7V3xydN5xldl6kXaAfq4sMiPizch9TgP6IGGUx9n+Q6QUAQqNgICGGp2O2rlqcTwkItIYRF0x2ZLLDjXFED9RTKIXMkfjtWhc+gSGD54Yb5Smc7NzT37ojeAWOUHCua2kz7yzIcidqLU7aUywUR5Kzvgk7+/dHDb6RpFZpwlRAWDWhaHETDIhoWE14juUQQEATKgEB2dg4S4lORnZOjmIO6kQ+bWosQFrW2TMWSSwgLtacQFk2nLo6wxGZG4FDcVqyP/AfZufmO8Oyv4u7ghZbeXdDVf6hi7lbW10Mrg61fCiJyLyHAqSpqknkZ36u8inagXhRxK38ZfC0SCMKQ59DiIIRFCIsh/UXOEQQEAfMgwMFOdu08g/17zysJpRs0qIKOnRugTt1g8qs0zi/UPBKVXIsQlpLxkaPmQUAIC+EohEXTmbRkoeBA/Wb6JUoIuRQHYzfr9Tj2T/F1DKR8Mn3Qnv5725snJnxRMujduBw2tAP1gjiUw231bpEvgxAWDoghpMn6pEmvg8qGICAIWAQBJisrlx/EDMq7Uqt2gBKM5+CBi0okrpdfH0qRwtSXkFEIi0W6glRaCAEhLASIuQnLjfQLiM2MRH23lnAhcylDihp9WC5TkID1EfNwJvGw3iPYEFkJcApBN9KqtPbuDlc7/YhneicbuSGERQOYEJZbOERYf6CuBv8RNchg5KsspwsCgoAJCGzacByff7IUw0e1wwMPdsOFc2GYMH4q/PzcMXFSbzzyWC+9WtPTs3DxfJhizq13wAwbtrY2SoLKoGDvEmsTwlIiPHLQTAgIYSEgzUlYIjKuK34e11MvoGfgKHTzG25QU6mJsASEuON69hlsjPwXl5L+04vWxZqVYOfq6BEwEi28usDJ1rx2tUJYNN1FCMstHISwKEAIYTHoMyonCQJ3NAIcMfWJib8qJOGtd0fD2cUBm9Yfx+TnZ1KuOmdMeLg7nntxkN4z3rwRg99/3YCrV6L09ptjg/OQDR/VAYOGtCmxOiEsJcIjB82EgBAWAtJchCU9JxVrIv/G3ugN4PC/7f37YHzVFw1qKrUQlpikOIS7nsDhlE24mXoZuXk5Ovk5bHEt90bo6jcEzTw7KmGMdQfNtCKERQOkEJZbOAhhUYAQwmKmD4xUIwioGIEN647h1cmzMHveC2jWogYSElLx9RfLsGD+XiWz/XMvDsCwEe31noDzyO0jX5f4+BS9/ebYsLOzReMm1dGsefUSqxPCUiI8ctBMCAhhISDNRViOJGzDqrBZiM2IhKOdE56q+4niMG5IW6mBsIRGRWJX1Gr8l7sNibkxyMvLT9zIZKWZd3t09x9BOVYaWISsME5CWDS9RQjLLRyEsChACGHR9Af5KwhUZAT+mLYBRw5dwbc/PqI41587E4pJE6cpodXb3lUHH346TnG8VxsGQljU1iIVUx4hLNSu5iAsbAq2NPR3nE86jpy8bHQJGEwJFJ+g2FaGJU+0NmFJzk7AjohV2BO7Fkm5cYRKnq7Hc4SuFj6dMSDofgQ71dDtt8SKEBYNqqogLEIWlMZQA1lQgwyWeN+lTkFAEMhH4PKlCGRn56J+gxBkZeVg+dL9eOeNeXBxccQI8ml5451RYDMttRUhLGprkYopjxAWaldzEJY1EbOwI2oVOLliNdc6mFDjNQQ6GR7Nw5qEJSLjGnbHrMWx+J1IzIrT81mxt3VAR79+5GA/DAGOVS3+Fghh0UAshOUWDkKaFCCEsFj80yM3EARUhQDnRHvh6T8ovPE5VK/uh5dfH4b+A1upSkatMEJYtEjI0pIICGEhdMtKWM4lH8GKsL8Unw8ne2eMqfo0Wnl1NcpsylqE5VraeWyOWoSzFAksPYcTQuZrVlzsXSlz/SNo5tURnvY+luyHurqFsGigEMJyCwchLAoQQlh0nwhZEQQqBQIXL4RjzPApisalW4/G+GLKA3D3cFHlswthUWWzVDihhLBQk5aFsKTmJGNZ6B9KYkU2BeOs7AODJsDDvuQwgIV7kjUIy430ixS2+B8lbHFWbqaeSExWxlZ7Dk082lG2efNGAtO7UaENISwaQISw3MJBCIsChBCWQh8K2RQEKjACubl5+OyjhZg9ayc8PV3w4KPd8cxzA4t8Yg5rfOL4FSSSg765i529HZo3rwE/f88SqxbCUiI8ctBMCAhhISDLQlj2xa/HuvB/EJcRBRd7FzxR+2PUcG1AXh/GZWYvT8KSQ5G/LqWexLqIubiafBbZRLQKFk9HH/K/eVIhKw62jgUPWXxdCIsGYiEst3AQwqIAIYTF4p8euYEgoBoEcnJyMajvJ7h2NZqSRwbih58eQf2GVcAhjA8fvIS69YPRpKkmchdvf/nZUly+HGl2+R0dOKxxO7zyesnpGYSwmB16qbAIBISwECimEpbrZE61MmwmOdofU/w+xlV/Hm29e8CUQX55ERYOU3wm+TAW3vwJ8RkUCayACRj3j2ou9TCy6uOo6drQKJO2IvqWSbuEsGhgE8JyCwchLAoQQlhM+pzIRYLAHYnA5o3H8eyT02FnZ4POXRrh1z8mwcbGBusp7PFff2zGg5SPZeBgTW6U3NxcnDxxTQmBbO6HtbOzo7DG1eDjU3ICbCEs5kZe6isKASEshIqphGVP7BqsCZ+NpKwEJeTv8JDH4O9YpSicS91XHoQlOy8LJxP34t8bU5GWra8+Zo1QEOqhl+sDaFGjBZycHEqV2RInCGHRoCqE5RYOQlgUIISwWOJrI3UKAupE4I1X/sayJQcVovD2+6MweOhdiKV8K9N/34RLFyPx6hvDULtOkGqEL0xYfpr2GHr1aa4a+USQioGAEBZqR1MJy+XU0+QDMg+RFNJ4ZJXHyYSqPWxt7EzqGZYmLOm5qUoUsGVhf9xGVjjHSmOvtmhnOwye2SEIqeIjhIUitFgTByEsmtdIDQN1kcGkT5pcJAgIAiYi8MiEqdi7+wKCQ7wx4+9nlMz3W7b8p5h+jb23MyY+3tvEms1zGZuscdhlStam2GhERyXipednKpoevsP/Ph6LwcPaws5Wk9bBxtbGamMK8zyx1KIGBISwUCuYSli4AbPyMinTim2ZzacsSViSs+OxM24VNoUvRHZull6/c7ZzRSvvLugVOBqIdweHUrTmQF00LJrmEcJyCwfRsChAqIE06X04ZEMQEAQshsAP367Cb79uhL+fB6b+OhFpqZmYTqZggUFeeJX8STzIEd+a5eiRy9i04TjY4T8jIxsXzofjzKmbSEvTBO8JDPJEq1Y1ERisCT4UGOiFx5/sa02R5d4VAAEhLNSIZSEs5uoDliIs8VnRWBs5B/uiN+iJyiZgHg7e6Ow3EF38hsDN3lMVWeaFsGiaSQjLLRyEsChACGHR+3zJhiBQoREID4vDW6/NxfXrMZQ00kEJ4tOqTW08PLGHKkzB1q05Sr40W5CammFQO1St5otffp9k0LlykiBQHAJCWAiZikpYwikh5NqIOTgWt0uv/W1tbOHt6I+7/Qajs+9AsJaFixrIghpkyCcL1jONy5fBl1Tp1slsrIZBssigeXXVgINGEvkrCAgC5YFARHg8Tv13gyKFRaFO3SC071hfNWZVSYlpSE5OhwNFESutcFCAlNR01K6tHp+b0mSW4+pEQAgLtUtFIywctvha2lmsDp+FC0kn9Xoe+9gEOIXgbv/BaOfdW0dW+CQ1kAU1yJBPFoSw8Axalaq+cHQs/YdJr6OZaUMNA3WRwUyNKdUIAoKAICAICAImIiCEhYAzlLCwe1luXi75q5jmWF9SG5nLJCwzNwOnkw5gfeQ8hKVe1QtbbE/O9dXd6itmYK28usLeRj8SmBrIghpkEMKi6akyUBccSvpmyTFBQBAQBAQBQaC8EBDCQkiXRliYqCRmxeJE4m4iKw5o4N4Kfo7BZm0jcxCWzNx0HE3YgQ0R8xGTEaFHVjgSWD2P5ugVMFqRvyjh1UAW1CCDEBZN7xDCIjgU9Z2QfYKAICAICAKCQHkjIISFEC+NsDAR2BO7FqsoSaSbvRf6Bo1TfD/M2VhlJSxJFAnsaPwO7IhZjuiMcIo2mKcTj31Wmni1J7IyCrVdm+j2F15RA1lQgwxCWDQ9QwiL4FD4GyHbgoAgIAgIAoKANRAQwkKol0RYWLsSlnYFM699gcj0G/BzCsKA4PtwF/l/mLOUhbBEUB6Y/XEbcThuKxIyY/U1K7b2iglYB9++qOpcp0SR1UAW1CCDEBZNNxHCIjiU+MGQg4KAICAICAKCQDkhIISFgC6JsGSQdmXu9a9xPH4PHG2d0NKnC4YEPwRPe1+zNpGphCUs/Qq2Ry/H8YQ9SM1O0pPJ2c4Z/YLuQxufHvAyQF41kAU1yCCERdONhLAIDnofFNkQBAQBQUAQEASshIAQFgK+OMLC2hX2CZl77RtKuJiNEOeauKf6s2RW1djszWUKYbmZfhGboxbjdMJBpOWk6MnkbO+MQUSs2vv0gZOtYUmm1EAW1CCDEBZNVxLCIjjofVRkQxAQBAQBQUAQsBICQlgI+OIIS1xmFKZf+wg3Ui7Bxc4NXQOGom/guNuia5mj7YwhLLkUtvhiyglsjFyAqylnwVqggsXHyR+Diaw09eigF7a44DlFrauBLKhBBiEsmt4hhEVwKOo7IfsEAUFAEBAEBIHyRkAICyFeHGFZGPoT9kSvV3xCark1wMRa78LNzssibWQoYcnOzcSZ5MNYFzGXfGuuIScvW0+eqq61MSzkUdR2awoHG0e9Y6VtqIEsqEEGISyaniKERXAo7ZshxwUBQUAQEAQEgfJAQAgLoVwUYTmVvB8zL38BzmviZu+J0dWeRGuvbhZrE0MIS3ZeFs4kHcbS0N/A2h/OCVOwNPBsiYFBE1DDpT44QaSxRQ1kQQ0yCGHR9BwhLIKDsd8QOV8QEAQEAUFAELAEAkJYCNWiCMsX559CeOp1yrtij7v8euCeKs8q65ZoBK6zNMLCZOUEOdYvuvkLOdcn60UC4+ubeLXDwOAJFAmsFmxgy7uMLmogC2qQQQiLpusIYREcjP6IyAWCgCAgCAgCgoAFEFAFYbl2JQoeni5wdLS3wCOWXmVcbDJSUzMQEOilyHAibzO2Jc9TzK3ccn0xyu1V+DoElV5RGc6IJRnSCshQsKocZOEY1mFn4pLbiIpNni1qox06uQyDv2NIwcuMXi9JBqMrM/ECVcgQk4S0tEwEUn9wsFKfjNXKEEQyOFjnvRAZNJ04HwdvagvjNZcmvgp6l8VQf3B3d0btOkFW+07qCSQbgoAgIAgIAoJAOSKgCsJy/SoTFlc4OVlrYJZPWFiGtRm/4Vz6AdJU2KCvx8NoZNvZ4k0SG6ORgQfJjgVw4KSVa+L/wiXb/bfJ4GLvipYuvdDKvh9c8jxuO27sDh6YpaZqBuoFZTC2nrKczwOzNJaBBurWIrAig6YFY6JvETdrtoWKZAgKIsLiaCXCQji4EWGpVTvQau9FWd5ruVYQEAQEAUFAECgLAqogLCnJ6QgO8YGzs0NZnsXkawubhLF/yJKwaajmWhf9AsabXK8xFxY2CeOQyqk5SVhwcyqOxe3Rq4qJlJuDh5IQsof/KCWCmd4JJm6owRxLDTKISZimA4lJmOBg4qdELhMEBAFBQBAQBMyKgBAWgrMwYTErwgZWVpCw2DvaIDzjKlaGz8SZhMN6NbAzvbejn0JWuvkPNzoSmF5lhTbUQBbUIIMQFk3HEMIiOBT6RMimICAICAKCgCBgFQSEsBDsaiIsAcHuuJ59BsvCfkdE2g09nxUOAFDFpRblgxmCVhSxzNiwxaX1MDWQBTXIIIRF01OEsAgOpX0z5LggIAgIAoKAIFAeCAhhIZTVQlhik+KR7HkN62P/RlR6aCGyYofqbvXRN2gcmri3s0jfUANZUIMMQlg03UsIi+BgkQ+NVCoICAKCgCAgCBiJgBAWAkwNhOVq1HUci96LY7nrEZcTgbwCOVbsbR1QhxJB9ggcgcbudxnZxIafrgayoAYZhLBo+owQFsHB8K+HnCkICAKCgCAgCFgOgUpPWNJzU3E9IhRIc0KNKsFwsoLjf3RmGHZFrsPBuE1Izo2n1s7TtbijnRNae3dDJ78BqOnSULffEitqIAtqkEEIi6Z3CWERHCzxnZE6BQFBQBAQBAQBYxGo1IQli7LYH0vYRZqNA/C3qYbu1QbC29nXWAzLdH50Zih2xKzEoditSMlO1KvL0c4RXfyHoJvfcHg5+Okds8SGGsiCGmQQwqLpXUJYBAdLfGekTkFAEBAEBAFBwFgEKjVhuZx6CqvCZuJS8ikEulTBgzXeQBXn2sZiaNL5uXk5CE2/jD2xa3E8fg+SsxP06nG1d8fdfoPQI2AUXO3c9Y5ZakMNZEENMghh0fQwISyCg6W+NVKvICAICAKCgCBgDAKVlrDEZUVic9QiHIjdjIycNLRx7YMh1SfAx9nymgwmK5eILG2NWoyLyf8hPSdVr82CXKopZKWtd08iK2VPCKlXeQkbaiALapBBCIumkwhhERxK+FzIIUFAEBAEBAFBoNwQqJSEJScvG4fjt2JN+BxwkkiXHG/0d38UHWreDWcnJ4uCn52XhQvJx7Ehcj6upZ5Ddm623v2qudZBv6B70dC9DRxtnfWOWXpDDWRBDTIIYdH0NCEsgoOlvzlSvyAgCAgCgoAgYAgClZKw3Ey/iNXhf+NM4mHY29qjqU0vtHHqj/rValnU6Z59Zs4kH1bIys3US8gtEAmMG6uacwMMDBmPBh6tYG/jYEj7mfUcNZAFNcgghEXTrYSwCA5m/cBIZYKAICAICAKCgIkIVDrCkkmkYU/MWoWwZOamo6Fna7SzGw7fnGqoEuJnMcKSQfc6nLAVWyOXIDoj7Haygqbo4DoYbWq0g6uTi4nNWbbL1EAW1CCDEBZNPxLCIjiU7YsiVwsCgoAgIAgIAuZBoNIRlrOk4fj3xlTEZkTB28kfg4MfRLXMlkhPyUFIiI9FCAuTla3Ri7EjaiVSs5NuSwjZwa8fGuf2gEuWL6pV9YeTU/lrV7g7qYEsqEEGISyaj4sQFsFBg4D8FQQEAUFAEBAErItApSIssVkRWBMxB4ditiikgUMG9w8aj7Q4G6Qkp1uEsLC/zIqIGdgTtQas3SlYOGwxRwLr7j8KGXG2SE3JREgVIk1CWKyKgxAWTS8VwiI4FPxeybogIAgIAoKAIGAtBCoNYcnKzcTxxF1YfPNX0nKkoJprXQwJeUhxbrdkpvu/rn2Ck/H7yQQsR6+Nne1d0dlvIHoSWXG39yLtRiJSUog0CWEhHDKsioMQFk1XFcIiOOh9tGRDEBAEBAFBQBCwEgKVhrBwNvmFN3/E2cRj4OzxfQPHok/gOAV2cxOWPNLfpFBeld+uvIfrKZcKNa0N3B080JW0Oz39R8PBVhOVTAiLBiYxCdPgkE+afEnjZl+oD5XPphCWW20RkYDU1AxUqeoLR8fK2xbl0+vkLoKAICAICAKCwO0IVBrCEp8VhVURs0jbsQ+NPNpicMiD8HcMURAxJ2HJo8hfYelXMf3aR4hJj9RD3Aa2CHAOQZ+gsWjn3VvvmBAWDRxCWDQ4CGG5hYOQBQUINZBHTYvIX0FAEBAEBAFBoPwRqDSEhaFNyI7B1dSzCHGuhQDHKjq0zUVYsvIycTPtEubf+A4RaTf1nOttbWwR7FwDfYmstPLqpru3dkUIiwYJISwaHISw3MJBCIsChBAWTX+Qv4KAICAICAKVE4FKRViKa2JzEJbUnCScSTpEyShnIyYjQo+s2NvYk89MfUWz0tSjXZFiCGHRwCKERYODEJZbOAhhUYAQwqLpD/JXEBAEBAFBoHIiIISF2r2shCUpOw574zZgZ9QKJGbF6fUkB1tHNPZsiwHBDyDEqabesYIbQlg0aAhh0eAghOUWDkJYFCCEsGj6g/wVBAQBQUAQqJwICGGhdi8LYYkj35g9sWuxN2Y9kgqRFXtbB7T27oKhIY/BgyKBlVSEsGjQEcKiwUEIyy0chLAoQAhh0fQH+SsICAKCgCBQOREQwkLtbgphySXn+siM6wpZORy/HclZCXo9yNXeHa19umJA4ANK2GK9g0VsCGHRgCKERYODEJZbOAhhUYAQwqLpD/JXEBAEBAFBoHIiUGEJy5W0M0po4RouDUm74V1i6xpLWLIpGeSNtPPYHr0MpxIPIiMnXa9+X6dAyrEyAF39hsHR1lnvWHEbQlg0yAhh0eAghOUWDkJYFCCEsGj6g/wVBAQBQUAQqJwIVEjCkpAdiznXpoB9S+7y6YXeAfeU2LrGEBbOXH855RQ2Ry/ChaQT4ISUBUsV11qUY2Uo7vLuBXsbh4KHSlwXwqKBRwiLBgchLLdwEMKiACGERdMf5K8gIAgIAoJA5USgQhKWJWHTsCNyJWxsbNDCpxMeqv5mia1rKGFhcnIx5SQ2RS3E5eT/kFMoe31Nt4boGTASTTzbw8HGscR7Fj4ohEWDiBAWDQ5CWG7hIIRFAUIIi6Y/yF9BQBAQBASByolAhSMsJ5P2Yf7178mnJJEyyntiXLXn0cyzY4mtawhhSc9NxbGEndgVvZrMwS6BE0Rqi62NHRp6tlY0K/Vcm1P2euPICtcjhEWDphAWDQ5CWG7hIIRFAUIIi6Y/yF9BQBAQBASByolAhSIsydmJmHH1EzLZOg12iu8cMBDDgx8jPxKnElu3NMLCZGVnzEqKBLZOybFSsDIHigTWyrsr7vYfjKrOdYwyAytYjxAWDRpCWDQ4CGG5hYMQFgUIISya/iB/BQFBQBAQBConAhWKsGyLWYJ1YfOQlpMCV3tXvNrgZ3g7+JfasiURFjYDWxc1B/uiNyI5Wz8SGJOVdr690c1/OAIcq4A1LaYWISwa5ISwaHAQwnILByEsChBCWDT9Qf4KAoKAICAIVE4EKgxhOZ9yHEtv/oawtKtKlvnHar+HpuRLYkgpjrCk5SRjVcRMHI7dRiQoVa8qJzsXdPLrh+7+I+Bl70f+MrZ6x43dEMKiQUwIiwYHISy3cBDCogAhhEXTH+SvICAICAKCQOVEoEIQliTSfCwO/RknE/YjOzcLzbzb46EabxpsnlUUYYnNjMTsG1/hRsrF2yKBeTn6KiZgnXz6w40SQtrQv7IWISwaBIWwaHAQwnILByEsChBCWDT9Qf4KAoKAICAIVE4EKgRh2RO3GuvD5yM+MwZuDm54tOb7qO3W2GAiUZiwMFn5/cp7iEi7qWhrCnYNP6cg9Au+F228ehIhsi94qEzrQlg08Alh0eAghOUWDkJYFCCEsGj6g/wVBAQBQUAQqJwIqIKwXLsSBQ8PFzg6GU8A0m2SsS71d1zJOqG0YBu7QejkOozIhOGRumJjk5GWmoGAQC+kOEdi7f/bu/PgOM+DjuO/1bG7ug+vZcmOzzhubOdwLtNADicOpM0xIRPDwEDDlWm5hoEZZhggFBj4C8rAH5QyFNqGKUkLTRPieNqkTmMnNsbYOcjhNgmkjR1bllZa3dpdSavled5HK+u1lNjSarUP0Xc92fd+9Lyf99E7+uU9nvTfKZntnBVWavPNur7qHl1Td/uit5aZdYhG5++wGBVK9Q4pnR4LHKgDDoX20LaqSdXV5WmTvaZNZkybXPZ16BlSfUNcGzetUrl+NxfjHEMZCCCAAAIILETAi8By6mRSjQ21Cwosr449p2OZpzU82a9NNVfqx6MPqTbSOC8LGxaGRkZ0tvZ1vRrZp9GK/tD29mH6VbG1+rGaPVqb3x5atlgTqV4TmtIuNJXrDxLq4I5m4Q91G2DLdyzKHx7PhYVmE1gW/kKJYn5HvKiDCQuZjA1NZXQwdairj2vDxraytclijiPbIoAAAgggUIyAF4FlZDij9o4WxeMX3zN8Yad/MHpCz3Z9TT3misieNb+uzfVXqXKeb+vqTCZ1oOspvZbbr4yGCkUHw0pz29elDdv1wOpfU1vsktCyxZzgljCnyS1hzoFbwqYcuCUsgOCWMNce+EYAAQQQWJ4C/+8Diz1sY5NZTWpC0UiNebXwxb+tK29u+ho1fbccTj6jQ6m9GproC7WCKvPa4s31V+hnLvkdNVW3hpYt9gSBxYkSWJwDgWXKgcASQBBYXHvgGwEEEEBgeQp8JALLQg5d3kQce1XmcGqfXjKvLT6/j5W6qgZtabzadDz56ZKHFVt/Aos7igQW50BgmXIgsAQQBBbXHvhGAAEEEFieAssysOTyOXVnT+n5nm/qv/sPayyXDR19ezXlxsQntCtxv2IVNaFlpZogsDhZAotzILBMORBYAggCi2sPfCOAAAIILE+BZRdYJvLjej/9vzqYfEJvDB41/bZMhI78ili7bl55j25qvXfez8KECprnBIHFgRFYnAOBZcqBwBJAEFhce+AbAQQQQGB5CiyrwDI2mdG7o2/qUM/TemvolVlhZU3NJt208i5d13S7qisu/rXIi9F0CCxOkcDiHAgsUw4ElgCCwOLaA98IIIAAAstTwLvAkhrvUs/YGbVWtysR7Qgdlf7xpN4cPCb7MPxl9VebddpCyz9sIjM5GlxROdy7TydH3tZkfnJ69Ug+ovWxK7Sr415ta7zOhJXY9LKlGiGwOGkCi3MgsEw5EFgCCAKLaw98I4AAAggsTwGvAsv7ue/paOo76jLPl7SYMHJz4h5trrsqODKZ3IiO9u03rzB+LHiu5K6OT+n65ovrwDE7mdbx/uf1YnKvujKnQkfahp/1kat0fc0ndfUlO1QTi4eWL9UEgcVJE1icA4FlyoHAEkAQWFx74BsBBBBAYHkKeBVYHu36C50YOKZc3j1XckXzTv3K+s+aqyE52f5WnjjzRZ0efVcrYqtkA8u1TbsueNTsbWAHe540QWi/erNnQ+tHK+O6qulGbc/frsaJdq1ZnVBsAX3BhApd4ASBxcERWJwDgWXKgcASQBBYXHvgGwEEEEBgeQp4E1ga2yr1D6ceDq6uFA5Fa2yl/ujyL2twIqV9Zx8xrx8+YBZFdEPrbbqr/UE1VLUUVp1zOJob0re7vqpX+g9peHwgtE5NZa2ubd2lm1fcIw00KD0yrg7TeSWBJauO1cYhNv9OPEPAC5wgsDg4AsuUA4ElgCCwLPCEwmYIIIAAAh8JAW8CSzyR05dO/4mS2dPTsIl4u35vyxf0+uAR/dupzyttbgtrj681V1ce1JWNN06vN9fIwHivvnHmb/XO0OvK5jKhVZqjCd244k7tbLnD9LGSUE9ySCPDGQJL94BGRggs58JC+YLbuTq0mvBYFWq/SzXhwx/J1MEdbR8clqrd8XMQQAABBBA4X8CbwDLRktLXOj+n3rFzt21tbLhcv7j2D/T3P3xYnaMnVVfVGLzF67bEAx/aP4oNK//y/uf07tAJc3tZLrTPLdGVurXtPt3QvFu1lQ3BsmRykMBiJHy4uuFDHc6FBQLL6GhWq9e0KholNC13h9CJlAkEEEAAAQSWUMCbwJJt7ta/nv1rpca6pnd/ff1l2lR3pQ52P2luBIvoY43X6P6OzygRC789bHoDM3Iy/bYeP/0FvW+edbHPvsz8tEbbdEf7T5tnX24NBR4Ci1PyISz4UAcCi2sPPvxffergz7GYeS5lHAEEEEAAgaUU8CawJOu+r309/yR7daTwScRXaWCsT+OTY7JXRj4ZvBnstiC8FNaZOTw+8Ly+fearJvR0K2/+FT427LTXrNP9az6tjbXbVBUJP59BYHFSPoQFH+pAYHHtgbCAQ+EcyhABBBBAAIFyCngTWLrrTpjA8iUNjqdmeETMeF4VkUptb7pev7T+4Q8MK//R9y092/mYCTwztzeP6EciWlt7qR5c9/uyV1hseDn/Q2BxIj6EBR/qQGBx7YHAgsP550qmEUAAAQQQKIeAN4HlndiLOtj3uEYmBmc5dMQ36DOb/tQ8IL9i1jL7jMqh1F59t+txE3b6QssrIhVaXbtev7zus8EVmtDCGRMEFofhQ1jwoQ4EFtceCCw4zDhNMooAAggggEDZBLwJLG9HD+qF/m+awDI0jRExgaOmsk67Vz2g2xN7pufbEXvL1/DEgPYnv67/6n1OmdxoaLntEPJjjTv082t/V/GKutCy8ycILE7Eh7DgQx0ILK49EFhwOP9cyTQCCCCAAALlEPAmsByveFIvDX3HBI/0tENH7TptqN2q+zoeCj0kn89Pqse8Tey7Pd/Qy30vaOy81xbbkHNt6y3as/o3psv6sBECi9PxISz4UAcCi2sPBBYcPuy8yTIEEEAAAQSWSsCbwHJYj+m1YRM+JrPBvttnTX52/W8Hrx+eiWFvAbN9tTyffNx0CPmCeSB/fOZiNVa36OaV92r3yj2mhIrQsg+aILA4GR/Cgg91ILC49kBgweGDzpnMRwABBBBAYCkFvAksByYf0YnRI8EbwSyADSy/uvnPtKVux7THuAkzp9L/oxd69ur1gSOh1xbbh+vt645vWXmfPt7yE7PeBDZdyBwjBBaH4kNY8KEOBBbXHggsOMxxumQWAggggAACSy7gTWDZP/GPeitzTBNTV0xsYPmtLX+pDTWXByjZybTeGn5ZB5NP6d3hN0NQleYtYmtrL9Outp/Utoadqo5EQ8svNEFgcUI+hAUf6kBgce2BwILDhc6dLEcAAQQQQGApBLwJLE9l/kbvjb9hrppMBvttA8sfbv2iVkTbZcPKa4OHdcB0IHkm/cOQS2WkSpc1XGluAfspbajbOq8rK4WCCCxOwoew4EMdCCyuPRBYcCicIxkigAACCCBQTgEvAsvg0LCeSP+Vzky8Hbz9y4LYwPLnVzwa2Lw6YF55nPx3dWdOh6yqK6La2nitbjPPq6yt2SwbXhbyIbA4NR/Cgg91ILC49kBgwWEh51O2QQABBBBAYLEFyh5YupIpHe89oP8ce0LD+XP9qNjA8sfbvqIXe/fq5f6D6ssmQ/teX9WobU07dUviXnXEN5rH6y/uAftQIVMTBBYH4UNY8KEOBBbXHggsOEydIhkggAACCCBQVoGyB5Y3kq9oX/eX1TXxg+mrK1bE9qNyXcuterX/sLIzXnVslzVHE7qhdbd2tuxWa3W7bAeRxXwILE7Ph7DgQx0ILK49EFhwKOa8yrYIIIAAAggslkBZA4vt7PHpzkd0rO858zrjTGifKsyD9DaIFB7CLyy0vd3/aOIT+njrnWqsai3MLmpIYHF8PoQFH+pAYHHtgcCCQ1EnVjZGAAEEEEBgkQTKGliOpL6lZ7u+rv6xngvujr1FLBHv0E2Ju3VN0y1qqGq54DYXuwKBxUn5EBZ8qAOBxbUHAgsOF3sOZT0EEEAAAQRKKVC2wHI2+572dn5F3xs4HroVbK6dtVda1tRu1J1tP6dNddtle7JfzA+BxWn6EBZ8qAOBxbUHAgsOi3mepSwEEEAAAQQWKlC2wHK4d5+e6XpUQ+MDiqtO48oqp4k598O+DWxd/WZtrN2uOvOwfU1FfRBa4pW1ZmjGK+pUa0JM3MxfyPMsBBbH7kNY8KEOBBbXHggsOMx5QmYmAggggAACSyxQtsDy/eGXtK/zn9U5fFIdua3qrXpP6cjAnLtvbwerrKgy7wGrlO3RPhK8E8wMp8btnIi5CmOHNtzEKmJqiLYE07GqWnP7WLMur79O2+pvmLN8Aotj8SEs+FAHAotrDwQWHOY8YTITAQQQQACBJRYoW2CxHUSmc8Pq7RnSoTP79VrkGWUrBhdl921wMQkmKMt+2+mWaJvuXv0L2tF406yfQWBxJD6EBR/qQGBx7YHAgsOskyUzEEAAAQQQKINA2QJLYV97koM68s5RHY0+ppHq7sLsRR/aKzCXVu/Q3fHfnFV2X2pYo6NZrWxrUjS6sM4nZxU6zxkpU4c0dVAqNWQcxsp7LHpNHdJ+1KHNtMnqcrXJKYe2VaYO1WX6vfCgDr2mDhnTHtpWNRuHynn+Zi/O6rYODQ012rCxrWznqMXZE0pBAAEEEEBg/gJlDyy2ysnuQb2SeU5vZA8oNZaUvfqi4FH8vPJ585/5Nz1tx6fmufl2srCOLW3uj+3XZWv8R3RH9KG5V2AuAggg4LHAqvYmxWLVHteQqiGAAAIIIFAaAS8Cy/m7lsmNKD05rBFzy1jajheGZp5bNqKRiUEzPhr002I7lhydGFYun9OkeXTfBphgaAqeNPPsJxHr0F0dn9KWuh3BNF8IIIAAAggggAACCCDgv4CXgaUYtsGJVBBS+sZ7giszA2ZYaTqhTETXaHV8QzFFsy0CCCCAAAIIIIAAAggsscBHLrAssR8/DgEEEEAAAQQQQAABBEooQGApIS5FI4AAAggggAACCCCAQHECBJbi/NgaAQQQQAABBBBAAAEESihAYCkhLkUjgAACCCCAAAIIIIBAcQIEluL82BoBBBBAAAEEEEAAAQRKKEBgKSEuRSOAAAIIIIAAAggggEBxAgSW4vzYGgEEEEAAAQQQQAABBEooQGApIS5FI4AAAggggAACCCCAQHECBJbi/NgaAQQQQAABBBBAAAEESihAYCkhLkUjgAACCCCAAAIIIIBAcQIEluL82BoBBBBAAAEEEEAAAQRKKEBgKSEuRSOAAAIIIIAAAggggEBxAgSW4vzYGgEEEEAAAQQQQAABBEooQGApIS5FI4AAAggggAACCCCAQHECBJbi/NgaAQQQQAABBBBAAAEESihAYCkhLkUjgAACCCCAAAIIIIBAcQIEluL82BoBBBBAAAEEEEAAAQRKKEBgKSEuRSOAAAIIIIAAAggggEBxAgSW4vzYGgEEEEAAAQQQQAABBEooQGApIS5FI4AAAggggAACCCCAQHECBJbi/NgaAQQQQAABBBBAAAEESihAYCkhLkUjgAACCCCAAAIIIIBAcQIEluL82BoBBBBAAAEEEEAAAQRKKEBgKSEuRSOAAAIIIIAAAggggEBxAgSW4vzYGgEEEEAAAQQQQAABBEooQGApIS5FI4AAAggggAACCCCAQHECBJbi/NgaAQQQQAABBBBAAAEESihAYCkhLkUjgAACCCCAAAIIIIBAcQL/B1jf9Ii2TNOcAAAAAElFTkSuQmCC)" + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "metadata": { + "height": 47 + }, + "outputs": [ + { + "data": { + "text/plain": [ + "0.094234906" + ] + }, + "execution_count": 29, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# Dot Product\n", + "np.dot(zero_A,zero_B)" + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "metadata": { + "height": 81 + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Distance zeroA-zeroB: 0.094234906\n", + "Distance zeroA-one: -0.46864522\n", + "Distance zeroB-one: -0.24529198\n" + ] + } + ], + "source": [ + "#Calculate Dot products\n", + "print(\"Distance zeroA-zeroB:\", np.dot(zero_A, zero_B))\n", + "print(\"Distance zeroA-one: \", np.dot(zero_A, one))\n", + "print(\"Distance zeroB-one: \", np.dot(zero_B, one))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Cosine Distance\n", + "Measure the difference in directionality between vectors.\n", + "\n", + "![image.png](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAA2IAAAGCCAYAAACCdHA5AAAMPmlDQ1BJQ0MgUHJvZmlsZQAASImVVwdYU8kWnluSkEBoAQSkhN4EkRpASggt9N5EJSQBQokxEFTs6KKCaxcL2NBVEQUrzYIidhbF3hcLKsq6WLArb1JA133le+f75t7//nPmP2fOnVsGALXjHJEoD1UHIF9YKI4N9qcnp6TSSU8BApQBGYwCBA63QMSMjg4H0IbOf7d316E3tCv2Uq1/9v9X0+DxC7gAINEQZ/AKuPkQHwQAr+KKxIUAEKW82ZRCkRTDBrTEMEGIF0pxlhxXSXGGHO+V+cTHsiBuB0BJhcMRZwGgegny9CJuFtRQ7YfYUcgTCAFQo0Psk58/iQdxOsTW0EcEsVSfkfGDTtbfNDOGNTmcrGEsn4vMlAIEBaI8zrT/sxz/2/LzJEMxLGFTyRaHxErnDOt2M3dSmBSrQNwnzIiMglgT4g8CnswfYpSSLQlJkPujBtwCFqwZ0IHYkccJCIPYAOIgYV5kuILPyBQEsSGGKwSdKihkx0OsC/FCfkFgnMJns3hSrCIW2pApZjEV/FmOWBZXGuu+JDeBqdB/nc1nK/Qx1eLs+CSIKRCbFwkSIyFWhdihIDcuTOEztjibFTnkI5bESvM3hziWLwz2l+tjRZnioFiFf1l+wdB8sc3ZAnakAu8vzI4PkdcHa+dyZPnDuWCX+EJmwpAOvyA5fGguPH5AoHzu2DO+MCFOofNBVOgfKx+LU0R50Qp/3JSfFyzlTSF2KSiKU4zFEwvhgpTr45miwuh4eZ54cQ4nNFqeD74MhAMWCAB0IIEtA0wCOUDQ2dfYB6/kPUGAA8QgC/CBvYIZGpEk6xHCYxwoBn9CxAcFw+P8Zb18UAT5r8Os/GgPMmW9RbIRueAJxPkgDOTBa4lslHA4WiJ4DBnBP6JzYOPCfPNgk/b/e36I/c4wIROuYCRDEelqQ57EQGIAMYQYRLTB9XEf3AsPh0c/2JxwBu4xNI/v/oQnhC7CQ8I1Qjfh1kRBifinLCNAN9QPUtQi48da4JZQ0xX3x72hOlTGdXB9YI+7wDhM3BdGdoUsS5G3tCr0n7T/NoMf7obCj+xIRskjyH5k659Hqtqqug6rSGv9Y33kuWYM15s13PNzfNYP1efBc9jPnthC7AB2BjuBncOOYI2AjrViTVgHdlSKh1fXY9nqGooWK8snF+oI/hFv6M5KK1ngWOvY6/hF3lfInyp9RwPWJNE0sSAru5DOhF8EPp0t5DqMojs5OjkDIP2+yF9fb2Jk3w1Ep+M7N+8PALxbBwcHD3/nQlsB2OcOH//m75w1A346lAE428yViIvkHC49EOBbQg0+aXrACJgBazgfJ+AGvIAfCAShIArEgxQwAWafDde5GEwBM8BcUArKwTKwGqwHm8BWsBPsAftBIzgCToDT4AK4BK6BO3D19IAXoB+8A58RBCEhVISG6CHGiAVihzghDMQHCUTCkVgkBUlHshAhIkFmIPOQcmQFsh7ZgtQg+5Bm5ARyDulCbiEPkF7kNfIJxVAVVAs1RC3R0SgDZaJhaDw6Hs1CJ6PF6Hx0CboWrUZ3ow3oCfQCeg3tRl+gAxjAlDEdzASzxxgYC4vCUrFMTIzNwsqwCqwaq8Na4H2+gnVjfdhHnIjTcDpuD1dwCJ6Ac/HJ+Cx8Mb4e34k34O34FfwB3o9/I1AJBgQ7gieBTUgmZBGmEEoJFYTthEOEU/BZ6iG8IxKJOkQrojt8FlOIOcTpxMXEDcR64nFiF/ERcYBEIumR7EjepCgSh1RIKiWtI+0mtZIuk3pIH5SUlYyVnJSClFKVhEolShVKu5SOKV1Weqr0maxOtiB7kqPIPPI08lLyNnIL+SK5h/yZokGxonhT4ik5lLmUtZQ6yinKXcobZWVlU2UP5RhlgfIc5bXKe5XPKj9Q/qiiqWKrwlJJU5GoLFHZoXJc5ZbKGyqVakn1o6ZSC6lLqDXUk9T71A+qNFUHVbYqT3W2aqVqg+pl1ZdqZDULNabaBLVitQq1A2oX1frUyeqW6ix1jvos9Ur1ZvUb6gMaNI0xGlEa+RqLNXZpnNN4pknStNQM1ORpztfcqnlS8xENo5nRWDQubR5tG+0UrUeLqGWlxdbK0SrX2qPVqdWvrantop2oPVW7UvuodrcOpmOpw9bJ01mqs1/nus6nEYYjmCP4IxaNqBtxecR73ZG6frp83TLdet1rup/06HqBerl6y/Ua9e7p4/q2+jH6U/Q36p/S7xupNdJrJHdk2cj9I28boAa2BrEG0w22GnQYDBgaGQYbigzXGZ407DPSMfIzyjFaZXTMqNeYZuxjLDBeZdxq/JyuTWfS8+hr6e30fhMDkxATickWk06Tz6ZWpgmmJab1pvfMKGYMs0yzVWZtZv3mxuYR5jPMa81vW5AtGBbZFmsszli8t7SyTLJcYNlo+cxK14ptVWxVa3XXmmrtaz3Zutr6qg3RhmGTa7PB5pItautqm21baXvRDrVzsxPYbbDrGkUY5TFKOKp61A17FXumfZF9rf0DBx2HcIcSh0aHl6PNR6eOXj76zOhvjq6OeY7bHO+M0RwTOqZkTMuY1062TlynSqerzlTnIOfZzk3Or1zsXPguG11uutJcI1wXuLa5fnVzdxO71bn1upu7p7tXud9gaDGiGYsZZz0IHv4esz2OeHz0dPMs9Nzv+ZeXvVeu1y6vZ2OtxvLHbhv7yNvUm+O9xbvbh+6T7rPZp9vXxJfjW+370M/Mj+e33e8p04aZw9zNfOnv6C/2P+T/nuXJmsk6HoAFBAeUBXQGagYmBK4PvB9kGpQVVBvUH+waPD34eAghJCxkecgNtiGby65h94e6h84MbQ9TCYsLWx/2MNw2XBzeEoFGhEasjLgbaREpjGyMAlHsqJVR96KtoidHH44hxkTHVMY8iR0TOyP2TBwtbmLcrrh38f7xS+PvJFgnSBLaEtUS0xJrEt8nBSStSOpOHp08M/lCin6KIKUplZSamLo9dWBc4LjV43rSXNNK066Ptxo/dfy5CfoT8iYcnag2kTPxQDohPSl9V/oXThSnmjOQwc6oyujnsrhruC94frxVvF6+N38F/2mmd+aKzGdZ3lkrs3qzfbMrsvsELMF6wauckJxNOe9zo3J35A7mJeXV5yvlp+c3CzWFucL2SUaTpk7qEtmJSkXdkz0nr57cLw4Tby9ACsYXNBVqwR/5Dom15BfJgyKfosqiD1MSpxyYqjFVOLVjmu20RdOeFgcV/zYdn86d3jbDZMbcGQ9mMmdumYXMypjVNtts9vzZPXOC5+ycS5mbO/f3EseSFSVv5yXNa5lvOH/O/Ee/BP9SW6paKi69scBrwaaF+ELBws5FzovWLfpWxis7X+5YXlH+ZTF38flfx/y69tfBJZlLOpe6Ld24jLhMuOz6ct/lO1dorChe8WhlxMqGVfRVZaverp64+lyFS8WmNZQ1kjXda8PXNq0zX7ds3Zf12euvVfpX1lcZVC2qer+Bt+HyRr+NdZsMN5Vv+rRZsPnmluAtDdWW1RVbiVuLtj7ZlrjtzG+M32q2628v3/51h3BH987Yne017jU1uwx2La1FayW1vbvTdl/aE7Cnqc6+bku9Tn35XrBXsvf5vvR91/eH7W87wDhQd9DiYNUh2qGyBqRhWkN/Y3Zjd1NKU1dzaHNbi1fLocMOh3ccMTlSeVT76NJjlGPzjw22FrcOHBcd7zuRdeJR28S2OyeTT15tj2nvPBV26uzpoNMnzzDPtJ71PnvknOe55vOM840X3C40dLh2HPrd9fdDnW6dDRfdLzZd8rjU0jW269hl38snrgRcOX2VffXCtchrXdcTrt+8kXaj+ybv5rNbebde3S66/fnOnLuEu2X31O9V3De4X/2HzR/13W7dRx8EPOh4GPfwziPuoxePCx5/6Zn/hPqk4qnx05pnTs+O9Ab1Xno+7nnPC9GLz32lf2r8WfXS+uXBv/z+6uhP7u95JX41+HrxG703O966vG0biB64/y7/3ef3ZR/0Puz8yPh45lPSp6efp3whfVn71eZry7ewb3cH8wcHRRwxR/YrgMGGZmYC8HoHANQUAGhwf0YZJ9//yQyR71llCPwnLN8jyswNgDr4/x7TB/9ubgCwdxvcfkF9tTQAoqkAxHsA1Nl5uA3t1WT7SqkR4T5gc/TXjPwM8G9Mvuf8Ie+fz0Cq6gJ+Pv8LuZ58UBU1tfYAAACKZVhJZk1NACoAAAAIAAQBGgAFAAAAAQAAAD4BGwAFAAAAAQAAAEYBKAADAAAAAQACAACHaQAEAAAAAQAAAE4AAAAAAAAAkAAAAAEAAACQAAAAAQADkoYABwAAABIAAAB4oAIABAAAAAEAAANioAMABAAAAAEAAAGCAAAAAEFTQ0lJAAAAU2NyZWVuc2hvdOGIkcgAAAAJcEhZcwAAFiUAABYlAUlSJPAAAAHWaVRYdFhNTDpjb20uYWRvYmUueG1wAAAAAAA8eDp4bXBtZXRhIHhtbG5zOng9ImFkb2JlOm5zOm1ldGEvIiB4OnhtcHRrPSJYTVAgQ29yZSA2LjAuMCI+CiAgIDxyZGY6UkRGIHhtbG5zOnJkZj0iaHR0cDovL3d3dy53My5vcmcvMTk5OS8wMi8yMi1yZGYtc3ludGF4LW5zIyI+CiAgICAgIDxyZGY6RGVzY3JpcHRpb24gcmRmOmFib3V0PSIiCiAgICAgICAgICAgIHhtbG5zOmV4aWY9Imh0dHA6Ly9ucy5hZG9iZS5jb20vZXhpZi8xLjAvIj4KICAgICAgICAgPGV4aWY6UGl4ZWxZRGltZW5zaW9uPjM4NjwvZXhpZjpQaXhlbFlEaW1lbnNpb24+CiAgICAgICAgIDxleGlmOlBpeGVsWERpbWVuc2lvbj44NjY8L2V4aWY6UGl4ZWxYRGltZW5zaW9uPgogICAgICAgICA8ZXhpZjpVc2VyQ29tbWVudD5TY3JlZW5zaG90PC9leGlmOlVzZXJDb21tZW50PgogICAgICA8L3JkZjpEZXNjcmlwdGlvbj4KICAgPC9yZGY6UkRGPgo8L3g6eG1wbWV0YT4Kso7k0AAAABxpRE9UAAAAAgAAAAAAAADBAAAAKAAAAMEAAADBAABtSmbyuU4AAEAASURBVHgB7J0HYFTFFoYPBELvLVTpvTfp0iwUsYsoYkURERV7efYKggKKqCAiIqAISkdAaSIqvffeCZ0QUgjv/HN3w7Ykm81uNmT/ec/N7t175879Zu4y/z1nzsly5syZy8JCAiRAAiRAAiRAAiRAAiRAAiSQbgSyUIilG2ueiARIgARIgARIgARIgARIgAQMAQoxDgQSIAESIAESIAESIAESIAESSGcCFGLpDJynIwESIAESIAESIAESIAESIAEKMY4BEiABEiABEiABEiABEiABEkhnAhRi6QycpyMBEiABEiABEiABEiABEiABCjGOARIgARIgARIgARIgARIgARJIZwIUYukMnKcjARIgARIgARIgARIgARIgAQoxjgESIAESIAESIAESIAESIAESSGcCFGLpDJynIwESIAESIAESIAESIAESIAEKMY4BEiABEiABEiABEiABEiABEkhnAhRi6QycpyMBEiABEiABEiABEiABEiABCjGOARIgARIgARIgARIgARIgARJIZwIUYukMnKcjARIgARIgARIgARIgARIgAQoxjgESIAESIAESIAESIAESIAESSGcCFGLpDJynIwESIAESIAESIAESIAESIAEKMY4BEiABEiABEiABEiABEiABEkhnAhRi6QycpyMBEiABEiABEiABEiABEiABCjGOARIgARIgARIgARIgARIgARJIZwIUYukMnKcjARIgARIgARIgARIgARIgAQoxjgESIAESIAESIAESIAESIAESSGcCFGLpDJynIwESIAESIAESIAESIAESIAEKMY4BEiABEiABEiABEiABEiABEkhnAhRi6QycpyMBEiABEiABEiABEiABEiABCjGOARIgARIgARIgARIgARIgARJIZwIBEWKxsfGSkHA5nS+FpyMBEiCBq4dAeHg2yZo1y9XTYLaUBEiABEiABEjArwT8LsRiY+Ll8OGTcunS5aBNMuJUCF66lCDhObKHdBuMIA4yB7bBul/JgRwcf7kxHooVyy8FCuYJ2m+UY3v4ngRIgARIgARIIP0J+F2IHT9+Vo4eOS2FCuWRHCqEglFOnDgnF6JipHiJAhmgDQW1DdmCgUFORCqHC8ohQtugT9+DUextKKFtgAUgGCVSOUQrh+C24ay2IZZtiMwAHPQ3Kjpa+6KkjsnsQRqT2oZs2cOk3DXFgnZfBONe5DlJgARIgARIgASuEAiIEIs6f1EiShaSnDmDI8QgBtGGktqGHMFqwzFtQ5S2oZS2IUiC9PixM9qGmJBvwzHlAGEezL640obCQRPmx44qBxWkpUoXDtrkn22wfnwzAocr/wzwHQmQAAmQAAmQQDAIUIgFiPpxCjFDNiOIwSsiKHii+EobKMQoBkUoxAL0w8tqSYAESIAESOAqIkAhFqDOohCzwFKIWRwoxGwcaJUzIEJViMEyfeTIKTlz5oJcvBhn1vICSL58OaWgrpcrXqKg5MoVbg2WEHmNVHfdvbuPS/TFWCmlXhzXVCguYWFZQ+TqU77My5cvy84dR+Tf5Tska1gWqVP3GqlVu2zKB/pxj717jskxfbiKteel1aOgbLmifqydVZEACYQyAQqxAPU+hZgFlkLM4kAhZuNAIWZAhIoQQ/RcuIqvXrlLtm87LIcOnjKfL6jbdmzsJUm4nGB4QHzlyWOJseo1SkmjJpWkggqS/AVyWwMnE75ineKCeetk4R8b5cD+ExIbFy+FC+eVKlVLySO920tRDebCIoJ/Q15+Ybxs23pIsmTJIuUrFJNy5YoliQZrsgsUzC25c+cw7ugVKxWXChUjfFoqceZ0lEyZ/I8sX7ZNTp++oNGgE3SdbwFp3aamdL2lkRmzSTaEX5AACZCAFwQoxLyA5MsuFGIWNQoxiwOFmI0DhZgBEQpC7Lyu050xbYUsXrhZdu86KgiacyEq1kxmrdHg+bVwkbxSpkxhKV2miNx+57XS5NrKQVtn67mF/tk6e+Zq+fLzubJr59FEyyBqxtrqbrc1lrffu8c/J7rKa3lxwDiZ/tsKr68iW7asyjBcsoeHqaU1lxTR8VSseAFp276mtO9YVwqkQty/+9ZkmTtrtZw4cT7x/Eg5UVrH5wMPtZW77mkRtPW2iQ3iGxIggauaAIVYgLqPQswCSyFmcaAQs3GgEDMgMrMQgyvZvr2R8sXwOepOtl0ij59zEhrWSEj5NVu2MLVkFJeON9SRBx9pJ/nzZx7rGCxgQ4fMFIgxuLu5ltx5csiPPz0t1aqXdv0qpD5v3XpQut/2qcTExKXpuiGeEDW3atWS0qlrA2nXoXaK42nXziPywH1f6Pg963Zu1NeseVV5+fXb1IJZ0u379NwQH39Jrcvxkl0jwGbXSKwsJEACVxcBCrEA9ReFmAWWQsziQCFm40AhZkBkZiG2XV3IXn9lgmzdcjjNE2i4ohVUN7Mu3RrJ431vkKJF81kD6Sp/Xb1qtwwZOF1W/LczySt598PucufdLZL8PhS+wL8f998zTPaqsPdHwdq7kpq2oq0KsXt7tlKhXyLJamfNWCn/e2WSiTTraadq1UvJcy/dbNwUPX0f6G0Q8LCm/vrLPwLhfrda52D5YyEBEri6CFCIBai/KMQssBRiFgcKMRsHCjEDIrMKMeSQfPSBL2WXuiJifZg/imoxk2/tqWc6SZebG/mjyqDXsW7tHiPE/tEAFEmVYSMekutvrJ/U1yGxHWNoxb871DL1ud+uF+I+Z67s0rBRRenT93pp3LSyx7rnzl4tr740waQ+8bQDLGEDXuiqLo+1PX0dsG1gsn9/pPw8cZmuMVyvEVjPSofr68izz3c1a+ICdmJWTAIkEBACFGIBwYoFxswjBrQUYtYAoxCzcaAQMyAyoxCDCHuyzyjZtOGAwD3RUylbrojc1Lm+NGtRTcqXL6YTYitCIqIpIjLeooWb5M8FG+TI4dNOhzdvUVU++uQ+E1XR6Yur9MPBAydksFrE4JqYVJn7x+tGgCb1fahsv6hBTe64ZZBaf465XTICZ5QuXShxOwKgnDt3UcfPGYHLXnIF1rEWLatK/wFdpHadcm67nj4VJTd1fE/OaJAOT+W6djXlvQ97pFtQFXv0yFFfzdcAL5s06misCXiD7V3VYjzghZspxDx1FLeRQAYnQCEWoA6iELPAUohZHCjEbBwoxAyIzCjEPnz3F/nh+6Ueg3Hky59L7ure3EQDRJj6LLrGBpYJx4IJJZ72w+VqmK6fmjRhmSDgBwIjPPNcVzPZdNz/an4PnfrX0s3y6aAZsmnjAbdL6d2no1o4blZGbl+F3Aasf3rgvmGyZtVet2t/6NH2xirl+gXGDaJ0/joFEQ+3m2idrvvgM8bgPfe2FFhbC2nEStcy4YfF8t7bU93GdLlrihoL1E2dG7geErDPuC/mz1srA54a62ZtphALGHZWTAIBJ0AhFiDEFGIWWAoxiwOFmI0DhZgBkdmEGCw8t3f7RM5qfjDXgpDs997fSh55rKPXIcQhyNar+94rL/5ocka988E9mTK/2Lo1e+THcUtk6dKtomZEqVS5hDzyeEdp1bqGICAEi5hAFA/2HK4pEPa44XjksQ7y/Evd3LY7bsDY/HzYbJnx20q1krkHRilSNK8892I3ufX2pm4PB1DPTI38OUXXYa3S8+fSiJat21SX2+9qJtdqsI70LBBi835fI8/2G+t2WgoxNyTcQAJXDQEKsQB1FYWYBZZCzOJAIWbjQCFmQGQmIQZLFqxhkyb8bSbNVk9br8gP1vWWxvLq/273WoTZj8fE88C+SDl7Ltok8bVv59/QIgCLWFqEGGgh6uLIL36XMaP/lBhNJO5a2rStYSyQ1Wtk3CiVFGKuvcbPJJA5CFCIBagfKcQssBRiFgcKMRsHCjEDIjMJsROaH6z7HUPk4IGTVifbXuH2VaNmaXn/4x5SvUYZp+8C+QHrhGJ14h2jE/iES3B3TDCukOEa3hvJfnMgx5SPYb4hOiEMoi/ESpyuQbqk/8F6h4Jw+9m0XlhNcmky4ZQK6oqL0zpUcLqWHOHZJKuuYfJUcByEBdqBfFnhuq9juahCw3yv+6B++Ddm07py5Q638mv5eO2wJmFdEtZsoc32duO6s2sbkP8sR47sfrfk+UOIgc+5s9Ey9NOZMnH8X4ltt3PLly+nvPbmncb9FWvH7AV96yl0flYwVY6O+9qPcfyL481YdB2PejyORd8hcAj+Zs165byudaANGMd/zF8nLw4Y7/i1ed+pSwPjXhlR8sp6OXwBq2p4eHaPLq4YGxcuxGj74iX+0iW5rG1FX6IPMVYQDl+bacY3rsF11Sfqxr6eCq4bdaPOPHlzOo0JjF/coxejdXzGx+s9pPenngh535CEG2PaV2swGKHei9reeNu9hfOhhOPeVxa4Nlxnaov9vjJ9Yf9dQbt1HGD846GT672Y2nNw/9AkQCEWoH6nELPAUohZHCjEbBwoxAyIzCTEZs9YJe++/YucOnkl6S0uMq9OwHr2ai1P6/quQBeIgpMnzpkIcohIiATSe/ccl/MaBATCAROkUqULS4UKxaVGrTJStVopKa6hvnOoePCmYIJ3WoM2QGxu33ZI1q/bZwIynTp5TsWJZWEpVCiPBhMpoOKzjLHgFdFQ+0hOnSdPTo+nQBCIlSt2amCJU27ft+tQxy3wAq7x7NkL5rxr1aVxv1oL23esI/XqlzcTWUxujx49LSv/3Sk7th+W3buPmX0xyUXbatctZ9qF9iHMORIfe1MwYUcbESp986YD5j+0/ZxaKlEKF8mnbAtJlSollW1ZKVu2iAlg4etk2rVN/hJimJBv2XxQnn9mrMfAH3CfffyJG0wf2ttwXHOIzf99rREU9m34i6TQDRtX1D4q7Lg58T3GC5JA7919XPvikI7HY7JHx2OUrl1DP0GE5dc6sNasuuaKq1iphBmfGDOu4gZBbJCPD3Wi/ZN/+ifxPPY3teuWlQ7IjeaSrLpsuaLGhdJRIEB4HTyIcXzYjD+MI9y74Fy4cD6Tu69Rk0r68KS0aRPyqC1ZvMkIG/v5MKZKlirkFjESIuXsmWg5rOPl77+2Guvjfb3aCK4LBWMGOfT++XubuRb8u4ixBGGE+ho2qiB165WX8po/EHkDvRlD6NcL+mDkRORZOXrkjGxYv1e2bz+ivwVnjKu0/YFBGWVRUe//WhqY5RoNFIT7v4CmxkipnD4dJYcPnTb17tK+wH11/nyMPoyJMe3GPV9Gx3y9+tfo70ppk0A8ryYST0mkp3Refh86BCjEAtTXFGIWWAoxiwOFmI0DhZgBkZmE2Ccf/yYTflhqJkNWL1uvyNc06NNegkldIAuE1vr1+2Tm9JUyZ+YaOeNhnZrj+fFEvHHjShoKv6FpW4Qm+oV1I6kSpxPUbTppnaX1z5qxWo5odEhvSuvrqkub62pKqzY1zITWcTKM4zdqmwd++Jv8+497CPtvxvQxx2E/WBcwUd6g+6/4b4dOYndojrZDJjIlgno8+HA7idJJ4V+LN8tvU/+TNav3WJYwHOxSII4R7Q+T41q1y6b4BB/RK5HzbOb0FfLXkq2JotOl2sSPEChIwH2jBrFopOHhkd8qrcVfQgztOKOT6tHfLJBvRi5wa1ZdnUi//sYdUqfeNYnfrVq5U3r1+NzNglZNhfzrb93hMfQ9rIYbNXIoxguiYmIibzPKJNbr+gZCpUmTitJOhXVdPT8eGtjHyztv/CQTf1yWZCRS17ocPz/2REcN0X+jsQJhO4Q6xs/UX5abNXeerH3YD8F1GjYsLz0fuE4F5Tl5+38/GwGJ71BgBcJDgM8+f8h8Rh9hLR4eUKxasUtF2DYj9nBfffNtH6nXoLx5MLJwwXqZ9usK2bHjqDnO00uZsoXNej2s2YPQTU6MITLmoUOnZOmizUYwb9p4MMX7HyKyYqXiclOn+oY30hDYWTu2Bw8g9qjomjNrlUz5+V9ldybZPoCArlI1wiQLv65dLalcOcLrBz2O5+X70CNAIRagPqcQs8BSiFkcKMRsHCjEDIjMJMT6Pva1LNGJkGMgBEx2kPB27I/9zJNtq/f9/wq3yMULN+ran4WyUy02CR7c/JI6ax4VCcgB1eO+lmby7Wkyhone+rV75YthczTKoQbUSGVBnVh/1F0j8yEAh2PxVohhQvi3nvuN1yaayaBjHRB7Xbs1lrUqvmaqZTKpUOuOx+BJfdNmVYwrWz21piU10YVVbdx3i8zE2W71c6wnufdIwt3/2c6aiLux9n+u5HZN8Tt/CjGI2n/+3i79+nzj9uAA4+HjwferwKhtLIxoWGqFGNq6RFMwjPh8rhHLdmtMihdp2wFtuLZ5FbNeDYFbIJR63PmpWo8OeVuF034jvu4trfVhAKyfsHx9N/pPmTL5nxQFtb2SylVKmPt43tz1Tus/XYUYQv1/N/oPGff9Ere8a88+10Wu0cTZE8cv1giW7g8d7Ody/At3xu73NJf7H2wrSFGA3xPXAta4N3+e9LdGk1xvrI2u+yT3GfdBlWol5QlNFA9GeEBjLxDTK9Sy/O2oP9RquMu4b9q/S+kvXBQbN61kosQ21zQdedXtlYUEkiNAIZYcnTR8RyFmwaMQszhQiNk4UIgZEJlFiGHCcu/dQ2WzSwh2uBrB8vL5yEetjg/AK3KPTZrwl4wZ9afAhczX0lxzST2tuaRq1S7n5q4HS9S7b01ONt9XSueFEHnwkXbyRL8bnXb1VojB9Qp8n+0/RvbtPeFUB0L7Q+zBKuApCIXTzg4f8PT+1juaSp8nbxBYBF0LJu0DP/xVrQzrXb/y+jPcvnprBMge97VKk2XMn0IMjYd738vPj1OhdNjtWt5+r7uxxmA9EUpqhRiEwaCPp6m1aXeKeczcTm7bAFe3T2yW5J07Dst9dw9LdANN6hhP2+GO+uPPz0h5dcfDvfLOmz8bi6mnfVO7zVWIYZ0X7sXhQ2cLRJljwTrRM7o+7/DBU8lalByPwXuIsedfulm63dpU145dEUn4DgJ3/bq98tknMyS5pOjYN7mCdXktWlWVQUN6SUHlhYLxtnzZNhkxfI5aofe7WUOTq8/xOzyIeqLfDfogplamjPjqeK18nzYCFGJp45fk0RRiFhoKMYsDhZiNA4WYAZFZhNgRFQCPPfKVWW9i9bD1iqAYd97dTN237nLc7Lf3sL4hcMHQwTNll66/8VQwecPaDXvggJO6Zicpyw6STL/wyq1SUoMd2B++47g1q3fL4w9/ZfKZuZ4jf4Fcmky4cOIkCy6RCN8fGXk+ccKJfGnVdUI2eOgDuvamhFMV3goxHIQ1Wh9/OFVdL9c61eHpQ/Hi+c3al9jYS7pu5pzHtuO4a8oXNWHbr7+xnlM1UVEXZfhns+WHsYs9TkIRXALiDeuRYKeACMa/d7DcuRa4Kj7/8s06Flq4fuX1Z38Lsb17j8tH700xSZFdG9FXxXKvh65TftakPLVC7AsNk/+9WhGxTsq1IPE01tNBxCRgXZOKI/wOYO2hY+nRs6UK5BvNGqbJk5bJB+9OdXILdNw3uffNWlSRjwb1VItSQflW3TEHfTTN4+6wDBUqnMf0KQLEYAzDJTWpewWVuAoxbFuyaJMMGTQ9ResdLLBYDwbLEQJ6nDwZZdZxog7X0kQtSx9+0tPcZ/bv8GDisP7u4Fwzp6+yb3b7iwAsRdXlE4E0MIbwH9Z64Xh7gVh9uHd7eVQfGNjLxg375XMVlHDFjYuLt29O/FuyVEFdB5bfMIjWB1GY45zQe95TgWUMEWOx3s6TVc/TMdwWegQoxALU5xRiFlgKMYsDhZiNA4WYAZFZhBie2PfvO8YEcrB62HrFJOuRx9rLk/07OW7223sEMMBEbPFCuEQ6CwBYe1q2qSZwCyqr6000xoGZ8CFgwmJ1G9u86aDbMZhYvqbrg26741oTXQ0NxcRtys9/y9tvTHZrN4IJdNZIdQ0aVkh0aYJbIMTYHj3P3r2RskyDFSCqIpIO93vanUNqhBhE5Fcj5uokf7FbW+wb8ET/+hvqmjZhYo32Y13LH/PXm6TG9v3sfzEBxxqzRx/rYKwP9u1zZ6+WD9/7VQMfOK+FQ1REBCTAE/6y5YqYgBU45pgKsY26Nghs96olDdYRx1JZXey+HvOEmXw7bvf2Pa4jreHrHc+F68JEe/JPyx03m/f33d9aHldXtWIqZlFSI8SwVvH1VyYY6ylEvGOpXaessYoWgRDT6IDm4YAKMVgyd2pgCQRBwTpEWE/fePsusz4Q/fPP8m2yYZ1aZXQQIwIh3EVnTHMXH5jot9L8ZljbZS+VNABIi5bVZf/+SHm41wgjyu3f2f8WK5Zf2naoZcYMxLVdiCEwy/RpK81Y9uRe6UmIbVAL1WC9J5FAO6kCUXjrbU00qEVJvW9ymPty+7YjZn3XTg/rxvAwZdTYviYgjd2FFoJ/3HcL5Yvhc93cIHFeWImbt6hqxA+si+HKGw8lYmLj9HqOy7ath0wb8cABa9cGqjsqHtigIJjI2G//NPcZomw6Fgi7jnp/tWhVzQQfQVRJBF45fOikrt3cpcJtiwYMchZk8AxAsnBYhR37xrFevicBCrEAjQEKMQsshZjFgULMxoFCzIDILEJsy+YDMqD/WBMVzuph6xVBGvo/20keeKid42a/vYcb1Je6DgdR0lzLfRqpsXuPlrpwvqTTV+c1Yh0iCo4ds1D+Vtcj11JLJ8twpbS76mF9zg9jF8knH0933VUQLvzp53TtyzXF3L6DpQNBERA0Y6O6Nj30aDudHFoTPcedUyPEMCn84ftFMuzT2Y5VJL7H2qJeD7eVu7u3cFpTg0h7K/7bqdcwTdfT7Evc3/4GAUueeqaziSJn3/bUE6PUWrTRac0fxC1cTZFAuaZGnXQN/w0XTjAd9dV8negedrKkwXXyyf43ymMakdCX4m8hhiiAX385T8apxc+1pEWIwSXvtZd/VOG7wbVak9D8fx6swxBkCOaBoBBY5wdLcged7Jco4e4uCkHkS0LnIQOnybej/3QTyEU0oufdPVrI3fe0lAgNrONYYA37UwNrfKYW5/37TjhZkbCfJyG2TQPIDB40zTwccazL/h6uqq+odej66+s6uari4cW0X/8z69cOqfuia3nr3buNu6g9wukhFT4P3fe57NN2uRZEobxHRQ8ekiAyqF282ffDWILb7Sp1HV3050YTpfHh3h3sX+v2XfKpikkIK8eST6MgPvhIW7lFA4jACu5Y0C8QY0j6PUmDqriKsarVS8rHn9xv1trRKuZIju/tBCjE7CT8/JdCzAJKIWZxoBCzcaAQMyAyuxCDRax3nw66RuImq+P9+IrflE91bcj031Y4iQWcon7D8jJk6INJWl8wEft9zhoZocE3dmtocccCcTFoyP1yw031jGUA+/6sgu+9d6Y47mbe44l+36du0mAftdzCjdt3xiQb1he4YXkqqRFieHr/k7Zl4Iee3csgPh99rKOTCLOfEznPxqmgBDPXAve1517sJrXrlDNf7dp5RJ7o/Y2uRYt02hUBE+Be2UijTSZV7MJ11FcLnNztMPnEOiGsV4KgS225WoQY2vk/tYjBXc7VigSRj4iM9dWCmlSJUgEP4YxcWrCGuRZfhBjWDd59+2B1HT7iJKYQvAMW4/c+6uEUrt/xnOjPz4fOkh/HuUdE9UWIvfnOXXLH3c2NiHM8D95DiA77dJbHtZgPPHyd9OvfOTHoxe+z18jT/ca4VmGuAykI8DCiUOG8bt87boDVdvfuoyaQEKxmKNg2YfxSGTpkpps77623NzEBVCDu7K7LjvXhPdw5v/x8jvw08W+nr8KUtbG2q4jLqb+LLCTgSoBCzJWInz5TiFkgKcQsDhRiNg4UYgZEZhFihzQfUZ9HsUbsiNXBtle4sWGtzbPP3+y03R8fVvy7QwYPnG4sTq71YbKHCIXJPXk+oK5aOH7OrDWuh6t1oLmua7tTJ4vZTATGlWpNwho41/UyEG1YYwXXRLhBIeR4hAouV0uR2wkcNvhLiMGa8d6H90hzdUNztQDgdBCEeNJ//z3DHM5uva1br5xZG9fYlmLgl5/+NmxOOQRcwESydevqMnTEIx7DfDtWihxRvR8aaSbWjtsRnn3YiIfVAlHRcbNX7/0txLC+CJNthPp3LbBewuoHF0KU1LgmYv/PBs+Q8eOWyPlzF/ExsSCMO0LeY5w0blpRmjStbCw2iTt48cYXIQbXYYTfP6kWS8eC/uj71I1yb8/Wjpvd3iMf30M9v3CL1plaIYZw8RMmP5tkBFWsFRs1cr58+cXvbm3A+s031SpW0LZu7/WXxssvk/912w8ugy+8fItxSXT70osNp06dl5F6/u/HLHLbe7S6RyKapSeBbN8ZrqNT1SqGIDdnXNYIdu3WyKwVS0kg2uvi39AiQCEWoP6mELPAUohZHCjEbBwoxAyIzCLE4Ob1yANfmnUXVg9br5io3agTKEQj83eZMW2FmUgf2H/Srep5i96QMh7cAB13jNc1JsM+m2WiLbquL0PI8Mm/vSAQkigIRPHumz8Jwnd7KtgPkysEpahZq7S679WyRJkG/Uip+EuIYW3QixpoxNUV0/H8WFPXs/sw4wbnuB2Wmpf02CbXVjabP3p/ivysT/SRINdeIC6bXFtR8641sm9K8i/SB2DtjqvLKAKbvPjKLXLHXc2TPDapL/wtxPYhIuT7U2WBBxfCJ9XKeT+CdWh/oqRWiCFBN6JsbvUUbj6L6LgKN8m1S6gVpnKVCDO5b9mqeooWHLTFFyGG9X7/e3WSuK53QkLjjwf3NGuvUHdSBf35cK8v5D916YWgt5fUCjFYtZ5/6ZYkH1QggAainw766Df7KRL/ttM1bO9/fK9ys6xcd906SKMZHkj8Hm8wRvEA5kUVYvaIl047ePEBohMCfe7stU574x5HPja75czpS5cPWzUiJx7wHD9+zumb+g2ukaFfPOJVHU4H8kNIEKAQC1A3U4hZYCnELA4UYjYOFGIGRGYRYnDnebDn58bi4jhRg2UGbljjJz1tdbwfX3+a+JcMGzJLE826P+Wf9furJppfSqf7Thfkj9Q1Zq5PrhEJcOFfbydGQoRQQyjrN16dKIfV9Si5ggkbFuRjvRbE0W3qilRTQ+InVfwlxG6/81pdg3WTSQKc1LkQfOEBXVcD4exYXIXY0/2+lT9VoDhGQIQrFgSEY54lxzpc3yNoiatrHhJJ9+1/gzz0yJX1OK7HJfXZ30IMybBfffEHQfJf1/Luhz3kllsbm0h7+C61QgxthQvp11/OTzalAiy2WA+GHFNYD9b6uhqCfixbrqhrkxI/+yLExmi0xM+HaVALtTg5lmoa3GPsD/1MdE3H7Z7ev//Oz7r26W+nMZFaIQaX3843N1SLrbvLpf2cY3Qd28APfrV/TPzrKsRaNnnVRFpM3EHfIPohAs8gMI6vZd3aPTL442maYH2nUxX4LUMQFQQySangIQ9YO+ZUxDFwTx43sb/b+rKU6uP3oUGAQixA/UwhZoGlELM4UIjZOFCIGRCZRYjhYp57+jsNIrBO4jQymWOpoPmLxk3qn+jm5fhdWt4jyfBwtWidc3H/QmS6MeP6Ja4lSe4cCPaBJM34nXYsmCCvXD8wUYjhO4gSiCasYfEU5MPxePt7BBbA5K1z1wZm7VZRjU7nWvwlxO7q3ty4mUUkY4XzVoj16zNKgxhscosq6dr21H6GEOvT73p5pPeVMOHe1uFPIYY1WAhL3vexb9yuEVYwWIlg1bSX1AoxHIfoifPnrZPRX/9h0jq4ilJ73fa/GHMQ8XAx7dy1odyl7rH+Ctbx2ZDpGgVwkbYpzn468xcC/OepzyXrwms/YOBHU2X82KUmCqd9W2qF2NAvHtKIg7r2UkVNUsVbIVaz8jNO691QH8LUw2qFBNC+lv/U5RluhYhS6e8CC+S3456UUkmsF/X3+Vjf1UWAQixA/UUhZoGlELM4UIjZOFCIGRCZSYh9+/V8GTlivlvS2cIalQ0JWW+7o5nV+X56/V6jHiLPFaIgOpZK6uo1QQNCIMJZSgVWNQixY0edhRiOW7V+kJv1B9a+c2cvyNIlm+VbdaHatMHZNSqp82GtWbUapXR9yG26nqyi026hJMRgsXhX17F10Ih5qS3+FGKI0PfdqD90vM5za0Z17ac33rnbrPuzf+mLEMOxEF9YPzlaLVIQflg7l1KBIMN6vC4q3p96toub9cQXi9ing6fJ998udlvjiIcWP//6fEpNMt9nNCFWo5K7ld0/Qmy7fKwWuY0ubo9eQUphpzZtaxj3yqJF3R/IpHAovw4BAhRiAepkCjELLIWYxYFCzMaBQsyAyExCbOPG/fKkWhhc1wUhQEFbtS4gSAMmmf4qSJg7XK1TrkIMkf2mzXrZK9dEuI99MdxdiMFVbPHf7zpZxFzbjfPOm7tWpkxeLls2HRJEuxO5rE/pXfe0PsMdq4FGc/xw0H1OrmdXmxDztQ9hPbntzqby1rvdPQNKYas/hdh2zdWFNU+RLmt40AQkIH9CEzqXcghP7qsQc7wkhDb/5+/tGmBiuaxasds2TpIeLzi2x30t5UnNPWcPGoJtwRJib702UUOz/5sm10R/WsQ6tHlLRa5zmHvkG3vwkXYmFQNY+VKQvP0TTXq9coVz6HrU5evYx7HISff+xz2kWfOqSa6Rw34soUuAQixAfU8hZoGlELM4UIjZOFCIGRCZSYhhTcRDuk5sg+bMclwnhgvF2ghYxTp1aejTZMZen6NL0+yZq2So5jdC0mTXMnvB61Je3YCSK6gTCX2R88pxLRSOadiognEhcg2zjmACKK4Tsr17NEn0os0mdxTyKCHMfExMvNnX8QWued01Z9NzGrDArkkzohAbMvA3+fGHv2zi0roCRIqrVKWENLFFVnS8rpTe51XrZLsOtVMMCpFcPf4SYsjXhXDs479f6nY65L17VXNc3aLJhh0jX/oqxOACmSVL1sS+xgkx7vbtPS5/a6JvjOFNKuJjLsa6rSfCvliP9+U3jwmiWdoj9fkixCaMX6LrnqY79SfqR2CXb8b00XQHzvnD8J1jQZsH9B8jC+atd2pnMF0T7+g20OP6PgjpVzVFAFJn+FKQLBt503CtjgV90aFj7cQALo7fJfce7snlNM9gi5bVjLi392Nyx/C70CRAIRagfqcQs8BSiFkcKMRsHCjEDIjMJMRwQeO+W6iTmFluQQEw+WjStJK6fN1lkgYnt1jfGiFXXiHwtm45aPIqVapcUifI1mJ5BM8YoklX16/bd2Vn27uP1OrUTSfTroLJcce9OhlGktvf56xz3Gze33pHE3nnvXsSgzVgY6wKK0TagxgsX6FYkgEHtm09JL/PXSMTVci4BhJBPYiON1StgwjmgZIRhdhEnbgP1UAopzXghr1AmHS8obZ88tmDiaLA/l1SfyEa0AeOAjqpfVPa7g8hhmTLC//YYCIaOkaExLnRxsY6Rp978WaNeFneqTm+CDGM200b9pvxjrWBnsYirmntmt163yxWYbbNzbqLRvR5UtfUaW44iHgUX4TYkkWb5Plnx8lZdcl0LHhA8tobt6foKgrh2Ove4W7W7mAKsYEfTJUxoxc6Xo55j4AniMxZuUpJt+88bYDIdByfJyLPafj8uSZvmv3Bi/24UWOfMBYtb8QUjrXX7anv7XXyLwnYCVCI2Un4+S+FmAWUQsziQCFm40AhZkBkNiF24sQ5eeLRr9Uqts/NRS88PJu0aVvTBJRAAA9vkpoij9XiPzfKJxrFDJPGl169VerWL2+SweJe+kTDXM+Ytspt0T7W+Ywc9XiST/qRDwzWCOQLck1aDFfKwZ/1UtFRN1FsIWoicnAhmhrcxJ7Q3EuVKkUILChJla++/F0tdrPc2taocUX56JOeUqZsEXNoRhRiSOj8+CNfu61pQiCJzz5/SGrVLutkMfLEAK6aG9btVatODrO/N5NXT/XYt/kqxGDtPHcu2oiQH75fJFM195SrCMM5EEq+T78b5Nbb3BPuplaIwW118qRlujbsD2ndpoY83Lu9lCtXLMmQ6hCIGC/feRAWnbrWl/+9dVdi2PbkhFgXjUg44IWbndwqcW0n9b68585PZf8+5zVqsBp1ubmB3le3aXAbz2sqwX20rv/EtUSdd466GEwhtvzvbfJIry9V7CTgEhMLguMgd2EvDdgBF+PkRNBZXe+5b+8JKV2msIm4iEpwr0/4YakJyuPq9ny7utYiJ6JZ45WMlzXadFT/jcOawNLq4ooAOo5iL7GxfEMCDgQCIsTw41Jc/WJd3TsczhvQt5H6ZAMuIhFqdg9eG84ad4CIiEImTG1ALziJyo9HnpUL+o8ifgxy6GQoGAV5ePCEkG3IOBxK6njA5DgYxT4egtmGYxopLzo6xkzwwzWYQjAKxARCHGNSHqy+8Pd1z/jtP3nnzclu0QxxHvwOI3kwQnQ30KS+BTV4AyxDdjcwTDJjYuLk7NlowZPp3+esMdaCaI1Ah4l83frXmBDt9VSMwULwrU4Ovxk5z8lyY7+eW25rLI/3vUEnWVfY4ik1BAKsaaN0crl29V777ol/q2tI72/H9U2c+GJSBXfLD979xeyPdlSpVlLuvKuZJk+uZtZ+5Fax4Sg0cB3Tpv4rr7080U2I1W9QXt77qIdUqhxhzpkRhFjNWmXkRRW51zarksih72NfG3dLpCawF1xj7brlpP8znaRipRJSuHA+J3EBVpisHz16Wpap693or/6QHDmzyeChD0odPS4tJTkhdqumCLj/wesSq0c7cF9d0kk17jGI6BWaA2uLp7xeehTGYCeNVPioJnFGZDvXkhohhiTOM6b9J998tSBxDVPTayvJPfe1kmrVS5uoiBgvjiVa87WN/nqBWa/ouB3vO1xfW955v4cg6A0Kru2P+evlqSe+NZ8dX9qoNWiAWvRwHpS4uHgdl2FGBLz5+kT55ad/3FIKYH70UO92JlIjkiXb70VYcyDg1qzaLR++N1UOaQJs1wLrNB6ufPFV78Sv4Jo7eNA0Wbxwc+I2+xt/rhHD70OvHsNk165j9uoT/5YtV0Rz1TUzlj48PABvuxDCvYl54X51aYalEOveOndpID0fuE7sUU3/XrbVWNtdIyfi4VG//jeZNAOoN39+K88cTozfFoxRBILZt+e4TJ+2UhlsUnfsBnLf/a3135nCiW1IbCjfkIADgYAIMQxGRK7yNbGeQ/t8eoss8tE6+S9WvEDQJjkZog36Y4qJTFA5sA1mDOMftozSF0hMiWhuwSiwnCC8c8i3QScT+fSpbfmKJYL2G+Xv/ke/DvroVzPBcQ2XbT9XocJ5TFQ6CADkTLJPTGGpwj2yXddprFm1R3ZsP2I/xPyFEGigecmeHtBZ3cgq6/eHzYRpyaIt5km20876oWWranKTToQQLhpj/bxOwHZqnUi2ulHdxlwLcjo983xXuefeVonJnPfqv2MfvjfFhHN33B+TsvoqDJu3rGpEFcKe4+l7vE708BBy/PeLTQJcx2PwHut9YBHDU3iUjCDE4Gr5iq6NanNdTdMmvGCy/+brk9wCWmCijrY3blJR+6KiEaJZw7JIwiUVufrvLf7dX7p4s3EZta+Ta9a8irz02m0CketrSU6IIRpj0WL5EqvGefFvPyxf+M/VxSxxR32D+QmsVn01iTPGo6firRCDSJozc40M17WHe3Y7C4TCmvC7avWS0r5DHSP27K6pl/SY3TuPadCXf2TdWvcHA3f3aK5Wrm6Ja5MgkFZpIIn7VYS4llKlC2l00qbmIQf2QwLn5i2qmkTRy5ZukWf7f6eWwWjXw8zD6hs61ZP6DSqYEPDY4axaEf9bvl3dbNepS+Jp42bndqBuaKDrKcdN6J/4ICKtQmzc2EWaR+w3t/v5Wh1DQ4Y+oILU6mdYrn5Wq6OntW9oJ35TmqgAbqK/E9ZvjK4ZUyvW6VMX1FIVKTNVKO3YcdRcUsGCuc3azR4qmJAy4NSp82qd/NNYxlzTY+AAjP0W+ttSpVqpxN+J+LgEI/qRzHnZ0q2yR+8DlDy2daH39mxFMWaI8CUpAgERYrh5kQUd/7gFo2CyBytMcb2xgmUJsrcBN3ewnnizDdbowxO0C2oBCWpfZIA2wFIMSxAWaAfLEhSpVloIUjyNDZYYvNIGTNLDgvETJWgDJrZYzB2s34dAXPhpncgMGTRDZkxfqRPiWL+dAlHR8AS+d5/rEyfNs2askq+++F12arJiPO12LXgSXliFHyZmJ09GeVyHg2PwdL99xzry+lt3SjFbvi9M4Ff+t1Pe+t9PstM2aXOtH58xkSug/4VpZMSY2Dgz2cO/PXq4U4FFsGu3hiY8ur2/01OIQVT2efQrFQnWJNHeOFgmX9MAB8hfZbccwDKJqJQ/TVzm0bqJYyGMEcQgu45huADinvbUB9gXLnBYX+ZrSU6I+Vpnnrw5pOm1VdSa1kYFS7Ukq/FWiCGRL5KEjxn1p44150Tj9soRpCVPnpzGWwjbYtVqhXEJrxXXgrxib+q6SljrHL164GLY/Y7BckqPcy34LUNCcQgVKA+42eLaEBL/9VcmqFVsueshiZ/BA4IRBYINrnmO/Ym6XQPb1FQ31S9GPmosfTgurUIMUUgHffibm5U7Qh+mTNS0FI6BRbDm7aP3p6qb8Wq30Pxoi73gXsM4zarwYbGCSHUtiGr46OMd1HrVxozrzZsOmGA+Sxdvccqd5ngcHrzg3kcBb0+iDd/Bmol+bNu+dqb6nce1sfiPQECEWJTexHBFw49JMArcn9AGuD8hck0wCteIWdS5RsziwDViNg5cI2ZAZLY1YlbvWq8QmViDBfcc17Upjvt58x4THljRIMLuubelU/Q9WD5m6NPt775daAQGrBKpLRDDLdSyBWtYVX3K7ehmiIknwtT/oBauLZsOGrGR2vqxPwQOotTBdczR8pSeQuzI4VPyP52ML9WcVo4F19//2c7Ghcpx3RvW0CCqpImgqP+W+lrwwOV+Xbfz8KPtfa3CTIYf7DlcVq/c43Md9gMRLAZpDhDJEW6yWPOWXPFWiKGOgwdOykx9ADFVXd72a3AXRyGT3Dk8fdeydXV1S+zutuYLa96QdHjypKRFlb2+J/vfKA883M54J6E9b73+k3EbtX/v7d9GasmFtXq3iysg1m4OeKGrPmBobKpKqxCbq+7IWPt5YP9Jp6ZBTH0/4Sl1cb0m8WEBBBUsjyM1uMa839cbLwung7z8gPu9vK5bfeSx9uY6IDghrP5assVYxlardR4PJnwpENDIH9ZH3aSrqUXY8bfFl/p4TOYlQCEWoL6lELPAUohZHCjEbBwoxAyIzCzEYA3CxG2xrsOYNvU/43blKUiCNSKSfsUErG79csalCxNnTJhcC8QYLGOT9Wk/XA5dn9q77u/4GU+0W+mEF2tETBAKnYS5FlhjsFZm7uw1skiFJSbbqSmYfFXVdWU9dJ1Ql26NEl0xUUd6CjGEbv96xO9u0ebgVgmrUI/7WieuRbJfH9zbxqib1rzf18qObc6uovZ9kvqLvqujawKxnq5T10Zp8o7xh0UMYhjrh+Ai2UrdEeGS6GhhSeo6UiPEUAcsg3gA8fucteqeukMt3+fksgcrTFLngzCGWx2CfMC1ztEahmMg7tau2SPvv/2LhnA/kFQ1ZjtcZz8ceF/idSKS40gdA0lFaXStDKKkmbo39n68o95jK2XShGWJll48ICmi1p47uzdT185OxrMgrUJsk+YjRDRUJMB2LIg38KpGeOx4fT1j3bN/l6Asdu06ah6ULNF1aZ7Wstn39fQXbJs2qyw339LYBOhxDHsPMYb1hbAi/rlgown64qmOpLbBEtaufS25V10e8YAH/cpCAkkRoBBLikwat1OIWQApxCwOFGI2DhRiBkRmFmJWT6vrlYqYLbpuAkIGa2AwcTysC/+xHiy5UrBQbmmga1aaagAJBOmoUbNMsrmBMPldr/VD+CFH06aNB5OrXhM+5zL1t2pT3UzKy5Yt6jTBcz0YEz7cv0j0ulqvZaMG8EBiYCuRs+veVz5XqFhMGjWuJDd2qi+wKjhO9LBXegoxTCyxfuuVF8dLXOwlFbXFpFadclJb/6ul66MqVi6hHizu+ZcgxlbqhPRfTUiMIByIBpfcdedVFzf0V8vWNYygaKiBWdJafBFiWH8J3sXV+gWrXPUaZfS/UoKonWXVHRgiw5uSWiFmrxPWGjwYwJqh1at2qTXJ2SXUvp/9L7yHKlQsboTPTTpeqitDiFlPBfcP+nLC+KVmPSVcYV0LjkV9Q4Y9aP5COOEBCaJiIhAO2rVZA5jAc8i1gE216qVMYApEEIWQWKfi78k+o+WMpjXAerTadcrKtZqguKa2s5a+h9BIqxDDuBoxbLaMHbNIg/nklqpqRa6j6QSqVIkwvwNl9D61u8/a2wxhiqUwK1fs1GvaZlgfOXwmWSsWxgXWm0JkYr0XrjUpoQQrIAJ7rFA35c36+3VQE0knte4QD13g5mhnc51a8REwyLXN9rbzLwnYCVCI2Un4+S+FmAWUQsziQCFm40AhZkCEghCzetwSZBBgmMQfVhc5TJywjubkifOJazDyq2UGQQxg9cI6LUwiK2ggE28nzDgX6typQTy2bz+qUev0XA6iD5MkRFuEy3xFrRvRDxElz5P4sLfb9S8mfaf0HHDzgsslnsDjvsY2iAUUrBfDmrSK2vZryhc114PJmKeCwB7IhRaprvSupYVa6hBW3V4gpDAp3KD7uxYwg6UHa2GSKxhzM6atMC5SsACW0WApsDaklNsNE09MwJHTDdeM9WZgjXU6sECG68Q9p14zwnWXu8a65iqayyml9iTXVsfv4IaGyTDGi7clZ67sRsgU0GiAhbRPSpYuov2SPB9PdWOdNawtrpNvjNd6+pDAHm3P07HYdvDACdmtouzY0bMqgo6aqH3oBxSMSYgC1IE+xHhBRE2sr09p8g53OQSf2aQus/s11xf6Aw8kcL8gxDrGeclSBU2AmHwa4U91mCm4DkQmhVBEQJztmvsOx0IE4VgExCin4wLBS6rXLG3cGiHi0M8/fr9ETp0+b0QMgmCgrx0FDMYDoozi/nYtCLgBV0bUlVxBhEtELkQ0WQixcnqP4r5N6TjcH0f0vLhHcN8f0+id+Iz1bnYXUUSGLKURDMvrAxLwRvRP14cjntp2UZNuwxKO36/daoFDjsDDh04qb+uBkmGufYgHOmACyyvueW/q9nQ+bgs9AhRiAepzCjELLIWYxYFCzMaBQsyACCUhZvW89YoJEyaMCOSBv/ZJEtyEsoeHmUloasSXY9329zgHJpvndT0NQpmjYP4XHp7dRKpEjqGUxIe9rqT+QhzAEoFACwgEhMiBKFiTjPZjMp3W60jq3L5uB2tYQMLUemGP3JfauhDS/tz5aNN3MWqZAQeIBlwrJvyYNKckIlJ7zsyyv12w2y2KGJMIWAThDiuto6jx9poRJASBNXAvWSHrs5r6sN4PVrHkBAzE1ZkzUeZexHv0G8QzQrPDQud6LNanYQxB0ASqQGAi+ipy0CVlEUzp3LgW8Div4xRjFJZAFFwTonkjoImvBaIMdcNSbP9tATfwtnPztW4eF7oEKMQC1PcUYhZYCjGLA4WYjQOFmAERqkLMGgV8JQESIAESIAESAAEKsQCNAwoxCyyFmMWBQszGgULMgKAQs8YDX0mABEiABEgglAlQiAWo9ynELLAUYhYHCjEbBwoxA4JCzBoPfCUBEiABEiCBUCZAIRag3qcQs8BSiFkcKMRsHCjEDAgKMWs88JUESIAESIAEQpkAhViAep9CzAJLIWZxoBCzcaAQMyAoxKzxwFcSIAESIAESCGUCFGIB6n0KMQsshZjFgULMxoFCzICgELPGA19JgARIgARIIJQJUIgFqPcpxCywFGIWBwoxGwcKMQOCQswaD3wlARIgARIggVAmQCEWoN6nELPAUohZHCjEbBwoxAwICjFrPPCVBEiABEiABEKZAIVYgHqfQswCSyFmcaAQs3GgEDMgKMSs8cBXEiABEiABEghlAhRiAep9CjELLIWYxYFCzMaBQsyAoBCzxgNfSYAESIAESCCUCVCIBaj3KcQssBRiFgcKMRsHCjEDgkLMGg98JQESIAESIIFQJkAhFqDepxCzwFKIWRwoxGwcKMQMCAoxazzwlQRIgARIgARCmQCFWIB6n0LMAkshZnGgELNxoBAzICjErPHAVxIgARIgARIIZQIUYgHqfQoxCyyFmMWBQszGgULMgKAQs8YDX0mABEiABEgglAlQiAWo9ynELLAUYhYHCjEbBwoxA4JCzBoPfCUBEiABEiCBUCZAIRag3qcQs8BSiFkcKMRsHCjEDAgKMWs88JUESIAESIAEQpkAhViAep9CzAJLIWZxoBCzcaAQMyAoxKzxwFcSIAESIAESCGUCFGIB6n0KMQsshZjFgULMxoFCzICgELPGA19JgARIgARIIJQJUIgFqPcpxCywFGIWBwoxGwcKMQOCQswaD3wlARIgARIggVAmQCEWoN6nELPAUohZHCjEbBwoxAwICjFrPPCVBEiABEiABEKZAIVYgHqfQswCSyFmcaAQs3GgEDMgKMSs8cBXEiABEiABEghlAhRiAep9CjELLIWYxYFCzMaBQsyAoBCzxgNfSYAESIAESCCUCVCIBaj3KcQssBRiFgcKMRsHCjEDgkLMGg98JQESIAESIIFQJkAhFqDepxCzwFKIWRwoxGwcKMQMCAoxazzwlQRIgARIgARCmQCFWIB6n0LMAkshZnGgELNxoBAzICjErPHAVxIgARIgARIIZQIBEWKnT52XYsULSI4c2YPC9kTkWYmKipESEQWD1obI42flwoUYidA2hAeJQ4ZqQ8lCEh6eLSjjIZED22CNySBywAOK6OgYKaltyB6k8YCHA9HRsUFvQ3x8gpQpWyRo90VQbkaelARIgARIgARIIJFAQITYvj3HJV++XCpAgjPxPnnyvESrCIIYDNbkP0O04cQ5M+EMKge2wdxsJzMQh+IlCkj27MG5N08oh4sqgkK+DZHn9Dcyp5SvWCJov1GJ/wrwDQmQAAmQAAmQQFAIBESIHT1yWgoXzhs8IaaTnCgVYiVKwBoVpAmntgEWMbYhA3GAdTJIVpgT9vEQzDYc175Qa1REBKxRYUH5wYnUNsAiFtw2wCoXG/Q2ZMsWJuWuKRa0MRmUAcCTkgAJkAAJkAAJJBIIiBCLOn9RItT1KGfO4LgmHle3QLQB7k85gtUGdcGKitI2lNI2BMk1MSOsz8oIbbiyPit4fXGlDYV1PATn4UBGWJfENli/vRmBQ+K/AnxDAiRAAiRAAiQQFAIUYgHCzmAdFlgKMYsDhZiNA4N1GBAUYtZ44CsJkAAJkAAJhDIBCrEA9T6FmAWWQsziQCFm40AhZkBQiFnjga8kQAIkQAIkEMoEKMQC1PsUYhZYCjGLA4WYjQOFmAFBIWaNB76SAAmQAAmQQCgToBALUO9TiFlgKcQsDhRiNg4UYgYEhZg1HvhKAiRAAiRAAqFMgEIsQL1PIWaBpRCzOFCI2ThQiBkQFGLWeOArCZAACZAACYQyAQqxAPU+hZgFlkLM4kAhZuNAIWZAUIhZ44GvJEACJEACJBDKBCjEAtT7FGIWWAoxiwOFmI0DhZgBQSFmjQe+kgAJkAAJkEAoE6AQC1DvU4hZYCnELA4UYjYOFGIGBIWYNR74SgIkQAIkQAKhTIBCLEC9TyFmgaUQszhQiNk4UIgZEBRi1njgKwmQAAmQAAmEMgEKsQD1PoWYBZZCzOJAIWbjQCFmQFCIWeOBryRAAiRAAiQQygQoxALU+xRiFlgKMYsDhZiNA4WYAUEhZo0HvpIACZAACZBAKBOgEAtQ71OIWWApxCwOFGI2DhRiBgSFmDUe+Eq4e1RoAAAtCklEQVQCJEACJEACoUyAQixAvU8hZoGlELM4UIjZOFCIGRAUYtZ44CsJkAAJkAAJhDIBCrEA9T6FmAWWQsziQCFm40AhZkBQiFnjga8kQAIkQAIkEMoEKMQC1PsUYhZYCjGLA4WYjQOFmAFBIWaNB76SAAmQAAmQQCgToBALUO9TiFlgKcQsDhRiNg4UYgYEhZg1HvhKAiRAAiRAAqFMgEIsQL1PIWaBpRCzOFCI2ThQiBkQFGLWeOArCZAACZAACYQyAQqxAPU+hZgFlkLM4kAhZuNAIWZAUIhZ44GvJEACJEACJBDKBCjEAtT7FGIWWAoxiwOFmI0DhZgBQSFmjQe+kgAJkAAJkEAoE6AQC1DvU4hZYCnELA4UYjYOFGIGBIWYNR74SgIkQAIkQAKhTIBCLEC9TyFmgaUQszhQiNk4UIgZEBRi1njgKwmQAAmQAAmEMgEKsQD1PoWYBZZCzOJAIWbjQCFmQFCIWeOBryRAAiRAAiQQygQoxALU+xRiFlgKMYtDKAuxo0dOy+JFm2TZ0i2yY/tRiY6OlfIVikmVqiWlRcuq0vq6WgG6Cz1XmxFEUEZog2c63EoCJEACJEACJJBeBCjEAkSaQswCSyFmcQhFIRZ9IUZ+n7tWxn67UPbujZTYmHi5dClBLl++LGFhWSVbtqwSHp5drilfVD4f+aiUiCgYoLvRudqMIIIyQhucqfATCZAACZAACZBAehOgEAsQcQoxCyyFmMUh1ITYuXPR8tOPf8mXX/wuFy7EGvGV1K2WJUsWKVmqkHw9po9UqlQiqd38tj0jiKCM0Aa/AWVFJEACJEACJEACPhGgEPMJW8oHUYhZjCjELA6hJMQuquvhb1P/k4/enyoXL8alfLPoHqrF1DJWXEaPfUJKlS7s1TG+7pQRRFBGaIOv/HgcCZAACZAACZCAfwhQiPmHo1stFGIWEgoxi0OoCDG4Hf73zw55pt8YOXUqyu2+SG5DeHg2ubFTPflg4H3qthiW3K5p+i4jiKCM0IY0QeTBJEACJEACJEACaSZAIZZmhJ4roBCzuFCIWRxCRYidPh0lY775Q74eOd/zjZHCVljDBg7uKY2aVEphT9+/zggiKCO0wXeCPJIESIAESIAESMAfBCjE/EHRQx0UYhYUCjGLQ6gIsf37IuW1l39Uq9hOD3dFypvy5s0p9/VqLc881zXlnX3cIyOIoIzQBh/x8TASIAESIAESIAE/EQiIEDt96rwUK1ZAcuTM7qdmpq6ayONnJSoqRiJKFpQcOdiGjMChpPZFeJD7IphtgDC/oFEES5YspByypW5A+2lviGIEzkBgDLgBBqLs2H5Y+j0+So7p9fpSwjSSYqvW1eXT4Q/5crhXx6QHh5QagjbExydImbJFAtYXKbWB35MACZAACZAACQSXQECE2L49xyVfvlxBm3CePHleEDq7WPECQZvkZIg2nDhncjYFlQPbYO7wkxmIQ/ESBSR79sAIse3bDkv/vt+m6VetVu2y8slnvdJUR3IHn9C+QECRQHJI7vz47kTkOf2NzCnlK5YI2m9USm3k9yRAAiRAAiRAAoElEBAhdkwTuBYqnDdo1ihMtC6oRQwTrWBZxE5EwgJiTfaC3oYI5aD5moJRIpVDtHIooW1AzqhglCttUKtcgCxBKV1XqLRh27ZD0rf3N15HS3Tlhvxi1zavouvE7nf9ym+fYTFHUukSsNIGSJCm1Njj2gbkUSt3TbGgjcmU2sjvSYAESIAESIAEAksgIEIs6vxFdQssJDmD5JqISQ7aADewYLlHco2YNXC5RsziECprxHbvOmoiJm7betinX67ceXLIXd2by8uv3ebT8d4clBHWZ2WENnjDivuQAAmQAAmQAAkEjgCFWIDYUohZYCnELA6hIsRgjR4xfI78OG6pT3dW0WL55aVXb5Gu3Rr7dLw3B2UEEZQR2uANK+5DAiRAAiRAAiQQOAIUYgFiSyFmgaUQsziEihCLi7skS5dsljdfmyS4B1JTsmbNIrXrlJPPRz5i1nem5tjU7JsRRFBGaENqmHFfEiABEiABEiAB/xOgEPM/U1MjhZgFlkLM4hAqQgxXi/Vw32ousfHfL5HY2HgLgBevJXRN56tv3C433FTfi7193yUjiKCM0AbfCfJIEiABEiABEiABfxCgEPMHRQ91UIhZUCjELA6hJMQSEhJkz+7jMvrrBTL9t5USF5eyGCtYMLdZF3ZTlwYBD7CTEURQRmiDh58tbiIBEiABEiABEkhHAhRiAYJNIWaBpRCzOISSEMMVX7qUIEjuPG7sYvl1yr8miqlFwv21Rs1S8tTTnaV5y2qSM1e4+w5+3pIRRFBGaIOfsbI6EiCBdCJwRCNTfzf6D9mw/oBUrFhcuvdoIbXUrZuFBEjg6iNAIRagPqMQs8BSiFkcMrMQu3gpSiRLFsmZNbfT3ZSQcFnOnI6SdWv3yuJFm2TDun2yc8dRk2y9cJE8gnxhHa6vKy1UgCHKavbsYU7HB+pDRhBBGaENgeLLekmABAJHABGhf5q4TD4fOkdT5MRIpcol5OkBXeT6G+sF7qSsmQRIIGAEKMQChJZCzAJLIWZxyKxCbMWZP2XukR+NCLuv3PMSkaOs2x0VH3/J5BWLjYmXI4dPSZROHkqVKiR58uaUXGoBS+88exlBBGWENrh1FDeQAAlkaALwNFi3Zo+8/MJ42bc30rQ1QnN09nu6k9xxd/MM3fZAN269PvAbP26x7LVx8ff58mhqlXz6b1blqiWlUZOK0qx5NX+fgvWFKAEKsQB1PIWYBZZCzOKQGYXY/MifZP6RnyXmUrSEZ80hN5a8R9oXvSvZOyojCBC2Idku4pckQAIZlACsYcM+naku30vk8uXLppV5VRw80e8Gebh3hwza6vRp1rRf/5OP3psqZ85cCNgJs6jnB6L7ZssWpl4cBaVz1wbS475WUqRo/oCdkxVnfgIUYgHqYwoxCyyFmMUhMwmxy3JZZh0dK4uOTZe4hBjJov8rnquUPFb+XSkcXjzZO4oiyDYejp4xbkWlSheW8PBsyTLjlyRAAiQA4bV29R7pcddnTjCy6+/H432vlyefuslpe6h9mDzpb/ng3SkSExNnLt2mUxMFqysPiCr9v1clqbqyhmWVKlUjpP8znaRdh7pe1+fVSblTyBCgEAtQV1OIWWApxCwOmUWIJVxOkAkHBsua08skPiFOwrJkk0r5asiD5V6XXGF5UrybKMRs44FCLMWxwh1IgASuEDiv1rCXnx8nC+ZtuLLR9q53n47y7PNdVQh4qSzcashcG86cviAnT5yXo0dPydtv/Gyi+DpeIdwMn3uxm7RtX8u4xhcuktfxa/P+9KkoiY6ONe8vRMXo+uYjMuqbBbJty+FEsWc/6JryReWpZzrLjZ0aqLUsq30z/5KAVwQoxLzClPqdKMQsZhRiFofMIsQOXdwtP+z7RA5H75UcYbmkWdHr5daIx7y+QSjEbOOBQszrMcMdSYAEREZ9NV8GD5zuEcU997aUAS/cLPny5/L4fahuPKtuig/2/EI2bzqQiABatYqu8/pt1suJ21Lz5vvvFsoQ7YcYXfPsWKpVL2XEcJu2NSmIHcHwfYoEKMRSROTbDhRiFjcKMYtDZhFisQkXZdqR0bL3/FapU6i5dNA1YbCKeVsoxGzjgULM2yHD/Ugg5AlEHj8rt3cbJJhXeCq33dHUCLGixbhWyZHP8mVb5Y3XJmkqlROJm8PUnbBHz5by2ht3Jm5LzRu4KT75+Nfy54KNbofdclsTkw+zYKGUvUPcDuaGkCVAIRagrqcQs8BSiFkcMosQs98uEGTZNUAH1oelplCI2cYDhVhqhg33JYGQJYBos++/87OGrF+eJINOXRoYIVambJEk9wnFL8Z++6d8/eV8OXnyfOLlI03KsBEPq1ti7cRtqX0ze+YqGdB/rNth1WuUVqtYF2nTtpbbd9xAAkkRoBBLikwat1OIWQApxCwOmU2I+Xp7UIjZxgOFmK9DiMeRQEgRgFWnX5/RZr1S2XJFNQXIabc1Sm2uq2GEWDUVAixXCLz52kSZ9usKkz7FvjV/gVzy64wXpWSpwvZNqf6Lf8c6tHlL4uMTnI4tWjSf9NPAHd17tHTazg8kkBwBCrHk6KThOwoxCx6FmMXhahJiiIoYdemsRMWflXzZCkrusHxpuBOcD6UQs40HCjHngcFPJEACbgTOnYuW558ZK0sWbZYCBfMYsfXViLly8MApp32vbVbZfFe3fnmn7aH84dzZaHmyzyj5758dThgaN60k4yb0d9qW2g/ol/at3hIEUHEsSCXwZP+b5MFH2jlu5nsSSJYAhViyeHz/kkLMYkchZnG4WoRYwuVLciz2oKw6vVCOXNwvtfNfK/ULtNI8YTl9vxkcjqQQs40HCjGHUcG3JEACngj8OG6JDPpomlp0YuXW25tI/wFdpP8To2TD+ivBJ3BcnbrlZMCLN2uS4aqeqgnJbSv+2yHvvjlZtm097HT9T/a/URNgd3baltoPiMjYvvWbbgE7CunaMCTXvvf+1qmtkvuHMAEKsQB1PoWYBZZCzOJwNQgxhKY/GrNPFhyfLBvOLNdEzRelUaG20qXkA1IoezG/3CkUYrbxQCHml/HESkggsxLYs/uYPPXEaA2bflSqVispHw/uKRERBeXFAd/L4kVbnC67UuUSxiLWvmMdp+2h/OHHH5bIVyPmCf7NcSyjv3tCWrSu7rgp1e/Xr9srd982xO248hWKydMDOstNnRu6fccNJJAUAQqxpMikcTuFmAWQQszikNGF2CW1hO2L3ioLj0+VTWf/0xxh8VIwvJi0LXarNC3U0ascYd7cMhRitvFAIebNcOE+JBCSBKLU5W3kF7/Lj+OXCnJYDRzSU26+pYnAJe79dybLb1NWOHEpWaqgCrFu0rVbI6ftofzhg3d+kck/LU/MBQYWBQrkltnzX5NChd3zhqWG1Yjhs2X4Z3PcDrmuXU154eVbpFLlCLfvuIEEkiJAIZYUmTRupxCzAFKIWRwyshCDO+Kas0tl6fEZsvfCVl0hdlkicpaTVkW7GtfE/Nl8X9TsehtRiNnGA4WY69DgZxIgARuBeXPXyJBB+nu8J1JatakuQ4Y9KFh/FBV1UT4fOlu+G73QiVWBgrlNguK7ujd32h6qHxDu/3+vTpRFf26Sy4g3bysNG1eQ8ZOesX/06e8pjcDY/Y4hTiHxURGSQj/cu730euA6yR7ufUoXnxrBgzIVAQqxAHUnhZgFlkLM4pCRhdjfp+bIn0enyPGYQ5I1S1Ypm7uSXF+8h1TKW1tyZs3t1zuEQsw2HijE/DquWBkJZBYCsHq9/vIEzVO1QfLkySmffv6QXNusiiYJFom+ECtjRi2Q4UOdrTHZsoWpELuZQSJsg2D1yl3y4XtTZf26fU7D4imNaNj3qZuctqX2w/DPZsqI4b87HRauwqtN2xryzHNdaQ1zIsMP3hCgEPOGkg/7UIhZ0CjELA4ZUYjFJETLn5FT5J8T8+R0bKQmZg6TcnmqSqcSPaVCnlqSLRWJmr29RSjEbOOBQszbIcP9SCCkCPw08S+d6M+Vo0fOSM9erc3kPo9aw1BiYuLk1yn/yFuv/+zG5KlnO8tjfToKRFmol0kTlqpr5zwT6t+RxZhxfaVZi2qOm1L1ftaMlfLe21MEVjF7QV6yphq1sv8znaVm7bLkbwfDv14ToBDzGlXqdqQQs3hRiFkcMqIQG7d/kGw5u1IuxJ9XEZZNquWvL10iekmJHOXM59SNeO/2phCzjQcKMe8GDPcigRAisGXzQfno/amy4t+dUiKigIz4urcG6iil1jA1h2mJi7skC+atk2ef+s58dnx57ImO8njfGyR37hyOm0Py/aCPfpPxGnEy5mJc4vUjx9fM31+V/LpOzJcyc/oK+WzwLDmw/0Ti4RC9cHd88ZVbpFr1MirCsiZ+xzck4C0BCjFvSaVyPwoxCxiFmMUhowmxC1nOyOBt/eV8/Bl1RwyTJkXaS5cSD0jebAUki/4vUIVCzDYeKMQCNcRYLwlctQS+GDZbxo5ZJMiB9eHAe6VT14aSI0f2xOu5dClB/v5rq/R+aGTiNvube+5taXJYFS2W374pJP8ePnRSPnh3igrW9bo+7AqCZi2qyNffPiGwYKWmREfHysQfl8i47xarhe1M4poz9EunLvXliX43SekyhSUsjCIsNVy57xUCFGJXWPj1HYWYhZNCzOKQ0YRY9uxZ5edDn8vKU4ukbfHbpUPRO/yWKyy5G4lCzDYeKMSSGyb8jgRCjsDyv7dpgI7pskHXNcHV7d0PekjZckXdOGzbekhu6fyx23bkGUN+LIiCUC5YHwaL2OpVe5wwwGrV66G2Xgumi2pNW7t6t4z9dqH8999OiTofkyjCEKb+2ee7aiCVGpIrV3iixdLphPxAAl4SoBDzElRqd6MQs4hRiFkcMpoQw+Ji5A1DhMSs6vaSRdLnaR6FmG08UIil9ieV+5NApiUAC9jAD3+VX37+R0Or55E337lL2ravLfiddi27dh7VHFaDNYJijNNXN3WuL08/20XKVyzutD3UPkyagDV2czR/2FmnS/9ALYxNmlaSLFndPT4uahCUk7Z1X2e1L3buOKIWtQ2ydcshiY2NTxRgVapFyO13XKvJta8VRKq0u4w6nYgfSCCVBCjEUgnM290pxCxSFGIWh4woxLwdy/7cj0LMNh4oxPw5rFgXCVy1BBBefd7ctTJ0yEzZveu49HqwjTz6eEdJysVw7x7d595hbkKjecuqJqlz7TrlrloWaW04WA77dJaM/nqBWU+X1vpwfLXqpaS5ujU2a1lNWrSsnmrXRn+0gXVkbgIUYgHqXwoxCyyFmMUhOELsssQlxMkliZfsWXLIiWPn5cKFGClVurDHJ60BuhWcqqUQs40HCjGnccEPJBCqBGB9+eyTGTJf1zTBrfCDj+9V18QqSeI4eOCkPP3kaNm44YDTPg0bVZDnXuomDRtVdNoeSh8O7I+UwQOny5xZa5wuO1fucMkRrmvtbMYw/IE1K9E6pmvJElTEOeYci9fAKIhSGR9/SV1Ei0iDhhWlc5cGUrd+ecmXP5fXLo5ODeEHEvBAgELMAxR/bKIQsyhSiFkc0luIXZYEORt3SlafWSyHY/ZIo4LtJd+5MhITfYlCLAOIoIwgSP3xO8c6SIAEfCcAt7eJP/5lrDiY8L/wcje58+7mTgE6XGs/cviUvPTcOPn3n51OX9WoWVpe0HVQzdMQnt2pQi8/JCRYAiYjBKtYuWKnWWe3asVup9b37tPBuHraA3VAhOXNm0sg0FAuKfvz5y8a4WU/cMf2I7J44SZZuWKXnIg8J7hOlLp1y8kAzdlWo1ZZya+CjIUE0kqAQiytBJM4nkLMAkMhZnFITyGWcPmSRMbqPyKRv8q/J+cbq1jTIh2kgXSRnHEFKcQoxJL41eJmEiCB9CKAif26tXtk6OCZ8p+Gq2/Rupo8M6CL1NQJfnIF/5a8/cYk+WPeRqfdSpUqJK/873bpeENdp+2B+oBQ+keOnJLDB09JbFy8FC9eQIqXKCAFNDx8sNZOTfl5uYaYnyHHj59LvOysGs3w69GPa/6wqqm2Yp05c0Gm//qfiWR58OBJuWwTY1i79+hj7aXH/a2laNHQjlKZCJpvfCYQECF2Whc9FtObMkfOK2FXfW6hDwdGHj9rFrJGRBQMfhtKahscws/6cDk+H5LIIcTbADF4QRfjllQO4UHqi/RqwyWJk2OX9sk/p+fK6lOLjQjLJfmkTeFbpUJcE7kcE64cCikH90XgPg+0VByYyEEnDZ4WoqeiKp93zQhtgEUMoajLlC0SNA4+A+SBJEACaSZw8sQ5+eH7xfK9hqsvWCiPPPnUTdIZ4epTmDedPHFeBg+aJlM0sIdjyZsvp/zvrTul261NHDcH5H2cWvJWa0TBMd/8Icv+2masRWXLFZZbbm8qt2kgCwiy9C5wIxz11Xz5asQ8p/VhyB/248/PeIxA6W0bv/lqnnylCaIdA6TkVmvavT1byeNP3qjWNSvhtrf1cT8ScCQQECG2TxeT5suXK2iTPUS/ida1MBCDwZrsZYg26A89cmAElQPbYO43/KMb6L6Iuxwj++I3yobLC2VfzGb1d0+QQmERUjVrc6kR3kLiT2c3bcA/ktmzB0eInVAOF3VMhnwb1NUln06cylcsEbTfKMd/CPieBEgg/Qgk6EOY5cu3y3tvTZb9+06oeGosfftrPipdv5tSOXUqSj7/bJb8+MNSp13hdveGRluEa2MgC9ZR7dl9TN56fZKbe2SRInk1rPvNcvMtjdN9/rdf14cN04AnM6atcrr81m2qy/sf36fzIN8tV2fVMvbAfcM1iuJhp3VkJfRh/2tv3C7X31jP6Zz8QAKpIRAQIXbsyGkNwZo3aJYgTPYuaGhXTPaCZY2yt6FEBMRgcCyDGaINkWeNNQo/WMESxZHahmi1iGXmNsRdjpUN5/6WZWeny6ksBzUkfVaJyFlOmhfoKpWzNZLsl3NKIgdYBoMkxDJEG9RiDlEcoRyCJUhhrQ7LllXKXVMsaPdFav6h4L4kQAL+I3Dk8GlB8ubJPy0XWFZuuKm+tFTXRG8K/i1b+MdG+WPBBrfdX3n9NrlX3eWyZUtd0mK3ipLZgLVsfy5YL/37jvG4V/ceLaSPWonw+5qeZaXm+vpk4DRZ45I/rN/TN8kDD7dLs9Xq/Xcm63q+ZYIgHvaCOU3HG+oYoZczBUum/Rj+JQFXAgERYlG66DFC3Z+CNTCPwzVR2wAXrJTM/K5A/PWZa8QsknADgzm/pLqiBUsUX1mflRHaUFg5+NcadTHhgqw8/acsiZwuR6MPSFiWbFI2TyVpV/R2qZ5Pn0xmzWE6IyMEiGAbrPsiI3Dw128d6yEBEvCeQIwmCp49a7W8++ZkE8UWQS4wV8KDGW8KLFIxF+NNfivX/SE6HlTRkSeArnJwS5wze7W8OOAH19Obz7fe0UTdLDsZt2uPOwRo44xpK+TD96YKXDcdy/AvH5G27WpJNrUYpqVM/ulvtWD+4hTQA/VVr1FaBn16v1SuUjIt1fPYECZAIRagzqcQs8BSiFkcrohB/woxJGSefVQjaGlQjjOxJ1V05ZTK+WpLqyJdpWreBirKrvzjkxEm/2yDbTxkgIAhAfrpY7UkQAJJEECAjh3bDsvHH0w1a6uS2M3nzQ883FZ69+koRYrk87mOlA5MSEiQdWv2ytP9vnXLZQZB+chjHaTnA22kYME8KVXlt+/hATX2u4XyxdA5Zu2tveJixfLLN9/10Vxgpe2bfP47V8Xny8+Pl4sqpB1LuXJF5aXXbpX2Hes4buZ7EvCaAIWY16hStyOFmMWLQsziECghhgiJb2zuKVFx5yRHWC6pV7CFEWGlclZ0EmFoBUWQrS8ygAjKCH1h0eArCZBAehGAp87Yb/+Ub77+Q13lckjrNjXVPbloqk9/6NAp+XniMrfj7rirmfR96kYTGdftSz9uwJqpsWP+NNEEo87HmJrhDtmkaSV5ot+N0kBzmgXSPdL1UvbuOSbDP5stM6c7rw9r07aGvPH2XZqfrYjrIan+PG3qv/LG6z+pNdJZiCHg0ouvdNN1YvVTXScPIAEQoBAL0DigELPAUohZHAIlxJAv7JdDI2X7ubVSNV8DaVO0mxQLL+VxVGeEyT/bYBsPGUAMehwk3EgCJBAQAnAp3LrloDz5+CjB/KBVmxom71dEidSvpVq3bq88/vBIdZOLd2prl5sbylPPdJZryhdz2u7vD7DsHdZ8ZvPmrJUtmw+YdeBVqpY011RdrU/2/Fz+Pm9S9a3Q9WEfvjtFNm084LTL432vl4ceaScF/GCdGzF8tkZknO/mElq5SoS892EPqdegvNO5+YEEvCVAIeYtqVTuRyFmAaMQszgESoih9tNxkea/AtmLSKHsSf8DTBFk64sMIIIyQl9YNPhKAiSQHgQQLfbjD6fKxPHLTHTEpwd0ls43N0p1biu0dcP6ffLYQyMFERQdSyuNEPj8S9384ornWK+n9xBjF6IuCnJtIacYXBHzaw6xrFmzeNo9oNvm6Jq7V1/80QRhcjzR0C8elg7X1/GJsWM9eN/n0a9k6eItTq6P2F6vfnkZ8U1vKawB6lhIwBcCFGK+UPPiGAoxCxKFmMUhkELMi+FodskIk3+2wTYeMoAY9HbccD8SIIG0EYA1bO6sNeraNsm4tiHS3tvvdZe8mubHl7J1yyEZ0H+M7Np5zOlwuAS+8tptUqfeNU7bM/OHc+eiTT62YUNmOV1mmTKF5ZPPHvCLpWrXziPSW4XvIU1e7ViQP6z7vS1kwAvdgiJAHdvC91cvAQqxAPUdhZgFlkLM4kAhZuOQAQQIxWCAfvRYLQmQgEcCZ89Gy0M9Pzeuc+UrFJPPPn8oTVarXTuOyKsvjZe1a/Y5na9SpRIml1jTZlWctmfmD/v2RsrQITNk1ozVTpfZvkMtdf28VcpXKO603ZcPgz76VfO2/WVyYDoej7784qtHpWKlCMfNfE8CqSJAIZYqXN7vTCFmsaIQszikRYhFxZ+VZadmy54Lm+S6IrdJpTy1TYh670ejrQ0UQQYEhVhqRw73JwESSAuB0V/Pl08/mWlSuPTo2VItKDerBcW7cPWezovgFG/9b5IsX7bD6Wu4x70/8F4Trt3pi0z8Ye2aPfLGqxNl29bDTlfZp+8Nmj+srRQslLbojQv/2CDvvzNFDh44ocmcr5wiV65wQV8+9yKsYb735ZUa+S5UCVCIBajnKcQssBRiFgdfhVhU/DmZe+wHDU+/QGIvxUrDwq3llpKPSr5shVI9cilAbH1BQZrqscMDSIAEfCNwWCMc3tj+XbOOCvk0x0/qr3k1C/tWme0o1DlYkxe7RgmE6PhAhVi79rXTVP/VcvClSwnyuwYMef6ZsYI1a/aCMPoDh/TSZMt1JUsalqxBfA3oP1bWr9unIuxK/VgHB/fPkaMe17Vxue2n5V8S8IkAhZhP2FI+iELMYkQhZnFIvRC7LMdjD8vco+Nl9amlgjD1WfR/N5bqoVaxWyRn1tQ/5aMQs/UFhVjKP2DcgwRIIM0EIA66df5Idm4/IuHh2aTXQ9cZC0paK8a/J18MnS0/TfzbrarBQx+Qzl0bum3PjBtOa7ASpAMYOWKe0+VVqFjcrMFrcm1lp+3efoDo2rH9sEkQ/e/yHU4BOiDsqlYvJV+pCCsRkfqIl962gfuFDgEKsQD1NYWYBZZCzOKQGiEG0bX/4g6Zc2S8bDm7ygiwXNnySJvit0irwl0kT1h+n0YthZitLyjEfBo/PIgESMA7AhBg0Rol8XvNtfXl578ba1j+/Llk2uyX/TJ5P3ninIz6ar6MGb3QrUGvvXG73Nm9ueTMGe72XWbbsHfPcfngnV9k8aLNTpeGMP79n+2sOdqSjiLsdIDtA/otJiZOXT63mrxkmzcddNoNljCIsJHfPOaXfnSqnB9ClgCFWIC6nkLMAkshZnHwVojFX46TnVHrZc7RCbLn/GYjwgrmKCIdi3eXhgWuk5xhvrtBUIjZ+oJCLEC/eqyWBEKPAKwn8fEJcin+ksSrqxwS/h48eFJzTs2VJYu2GBEGKnnz5ZQx4540wSPCs4dJmCZADgvzbm1RXGy8cb27lJCg57okkcfPaRj8pTJu7GI34I8/cb3c3aOFFNL1Ylltfnlh2bKma4Jlt0alcQMEUlyc5kxT70A4CF66dMnwWLVil7z8wniBZcyxYG3Y/Q9eZ9wGsygDrOFKykMR/RenTC9qv+3fF6lBP1ZqhMu1Ehl5zrFKyaMREqtqrrRPhz9IEeZEhh/SSoBCLK0EkzieQswCQyFmcfBGiMUkRMuWcytVhI2XI9H7NSBHmBTJEaEi7C6pV6C1hGfNkcRo824zhZitLyjEvBsw3IsESCBFApHHz8q6tXs1tPkJOXHivKzX96tX7TFJjh0PhjWl3DVF5cZO9TThcnFBAuTadco57uLxPQQIEiefOx8t589dlCOaSBnh69ev22/Eg+tBxYrnl+Ytq0rt2mVNcBB8j23tOtRx3fWq+bxtq16vcsWaMAin48o8SnOYLfpjk+zefdztOtppxMSatcqY7QiqARFlF6WuO8eqyD106KSsXb1X87Ptd0vYjPVmRYvll1tvbyr39Wpt8qW51sHPJJAWAhRiaaGXzLEUYhYcCjGLQ0pCLDbhoqw6vdCIsDOxp4zoKpu7srQtdpvUyNfYpyiJrsOTQszWFxRirkODn0mABHwkMGXychkyaLqciDzvdQ0QZTd2qi9Dhj2Y4jEIVX9zp4+cglGkeJDLDrnz5JCV6wa6bL06PkJ8PdH7K1m2dJvTWq1Ath79U0CDcBQtml/q1isn3W5rIg0aVpTsaslkIQF/E6AQ8zdRW30UYhYICjGLQ0pC7IQG5hi5+38SefGI5AjLJVXz1Zf2xW6X8rlr+G2EUojZ+oJCzG9jihWRQKgTmKAugliv5U1RY45xLcydO1y6dmss/Z7ulOJh/y3fLi88N85rN0bHCuEmmVXdH+s3KC/DRjzi+NVV8z4qKkYefWCE4N9QTwVCDVYtb0o2dQdNSkzBYpZTrWdYy1ekaD5jrWzcpJLUUMsarGosJBAoAhRiASJLIWaBpRCzOKQkxM7Gn5TfDo2SA9G7pEKeGtKySGcpm8u/STkpxGx9QSEWoF+91FeLtTXbtx0yE6matcomOUlKfc08ggTSh8DWLQfVpW2fVyeDW13MxXgz4a+lroPVa5RO8bijR87I/HlrNfhG9hT3dd0BiaSzq/ioUbOMNFJRcTUWBM/4Y956uRAd47H5cXGXJOr8RY/fuW7MoQyTElVhYWFSSMP/lypdWErrf7AispBAehCgEAsQZQoxCyyFmMUhJSGWcDlBYBU7FLNbyqgAK5K9hN9HJoWYrS8oxPw+tnypEJOnv5ZuFbh2ndf3w/WJPQIMsJAACZAACZBAqBCgEAtQT1OIWWApxCwOKQmxAA1Dp2opxGx9QSHmNC7S+wNcjbbr4vu/lm6R2TNXyx5dbA/3ooXL3pESJQqkd3N4PhIgARIgARIIGgEKsQChpxCzwFKIWRwoxGwcKIIMiIwgiq0eSZ9XhIY+eOCESZK6fu0+Wbtmj2zRyG+IAmcvFGJ2EvxLAiRAAiQQKgQoxALU0xRiFlgKMYsDhFjk2RNyJM9aOSvHpVnhmyQiR8qhi/05PDPC5J9tsI2HDCBI/Tm2HOtCnqNfp/xjNsXFXpLDh09r3qOzcuTIaTmq7/H3woVYx0PMewoxNyTcQAIkQAIkkMkJUIgFqIMpxCywFGIWh73H98uiY7/Kzsv/SfTlc9Ks6A1ya8nHJav+L70KRZBFmhwCO+IuXoyVztd/YE4Cl0Os/0L0NrxPrlCIJUeH35EACZAACWRGAhRiAepVCjELLIWYyJHYffLH4Smy/sxyuXjZyjXTuXRP6Vj0bslCIRagOzDpainEkmbjj2+i1drVsM4LiVWFafhshIRGMtt6Gkb79OkoWbJws5w6FZW4D95QiDnh4AcSIAESIIEQIEAhFqBOphCzwIa6ENsTvUUWHP1Ztp9bKzGatDlb1uzSscRd0rxwJ8mfrVCARp/nailALC7k4Hl8+Gsrwkl/PXKeZFMB9n/2zi60rTKM43/TJmljQrdk+erSrputuZkiglPqB7uwV7sQL0SHyLxQEd3Am4EDQVBhoBf1e+imU5xY2cVAYdUi04mMCXWy6RzKnG0369ImaZq2OcmSpr5vYmRjrCdf7znp8j+QJj3nvO95zu95Es7//Xr8gVUIiJfMyyOX33Y62zB8+Ge89+4IpiLJKy5JIXYFDv5DAiRAAiTQBAQoxBQ52SwhNhVJ4Oh3v+GH78+I/DwXIVunu3vWIBwOov+eMO7bvBEya7xRWzMLsT9Tv2Lk4hDOzZ9GbimLttZ2MRzxSdzS0Q9Hy43CBcb5QfqbAqQY9eRQ5KDyb0qsjCjDWyZQlT1i8lXaDn5+DG+/MUwhVgLCdxIgARIggaYlQCGmyPVGCzFNu4Rvvj6JD/cewdh4FNlsDnkxJ0PkjywIL/kgZLW2omudB3v2PoVg0JjemGYUYlJ0nZkbxUhkCJPaGPJLi7AtOrDZtRX3dg/AaTcnVxIFSPHLTg6KfvTKrJZCrExQPI0ESIAESOC6J0AhpsjFRgoxORn+4NAxvPX6MKQg09vcHic+/nQ7evuCeqfWfLzZhJgcfjg6cwRfRQ5gPlscehVybMCmlgfRiTBCa72w2601c62mAgqQIjVyqCZ66leGQqx+LFkTCZAACZDAyiZAIabIf0YJsbQQXl9+MYrdLx8qS4SVbndtyI39nzyLru41pV1K3ptNiJ1d+AWfnR9EPDMFyw0W9LluxZbANtjnfJDDtYKdbiHEWpWw1quUAqRIiBz0IkXtcQoxtXxZOwmQAAmQwMohQCGmyFdGCLElMe7wxE9/YcfT+65agUzvtuTcjfsHNuLVwW1iyGKL3ulVH282ITah/Y5Dk+9jSvsbvUKEDfgfRqjtJjChczGEKIIah0PVX+oaC1KI1QiQxUmABEiABK4bAhRiilxphBBLJlP4aN+32PPOSFV34fN14LXBx7Dprr6qypdTqNmEWDafwYX0OczmYljXHsZqq7eAiUKsGC0UYo3DoZzvr4pzKMRUUGWdJEACJEACK5EAhZgirxkhxP6ZnMGunQfw4/GzVd2Fw2HHI4/ejZ3PP1BV+XIKNZsQuxYTCrEiGQqxxuFwrVhVvZ9CTDVh1k8CJEACJLBSCCgRYvLh2+NxmbYoQSw6h4VUGn7/KtNsiEaTSKUySm2YGJ/Gjmc+uGoZ6HKDT66keMedvRh88/Fyi1R83v8cRC4hu82cRSpKNgQCq2Gz1W9+Vt6yCEu+vGGdqmyoxCHRaRGTWkbkdaovh0psmBY2aLQBkoNMIyHnaNYzJivxhVnnUoiZRZ7XJQESIAESaDQCSoTY6VPjhfwx1jo+9FYCbjaRQjp9CW63E+bZsCBsyEKuUCiXjVexXTgfwwu7hmqqev0GH1586aGa6liu8GyixMGldC6akTbIlREjlj+Qs2vo0LrgsXQud/nCsYTgkCnEg3kcGsKGGcEhky001LQqnJu4nEMSJRtEkmE5V9KMTdoQ6vag7+ZOCrH/HMCEzmZEIq9JAiRAAiRgJgElQmxibBouVztsJq0ONxOfL/RGeb0dptkQFzZookfMK+ZhqWrxnhD5wp7bvr+i1RIvDzbZI3bb7T14ZffWy3fX9XM8JjiIHhCVHPQMjsfmCozqYcNCLokTs0dxEoexaM2gN9ePLe4n9ExAyQY5L8+sxgHaUHST7DGXDTU+v/CFokYSvYCQNsjfyB7REKLq90HPBrOOs0fMLPK8LgmQAAmQQKMR+BcAAP//d4IPOwAAQABJREFU7Z0HnBNl+sd/23vvyy4gXXpHUBGkSFNRsbezt7Oe3nnW0/O8+3unnmc5C2I7u2IBBOkIghSVJr3D9t5bkv2/78xmd7NsySSZZML+4keSTHnnme87mc037/s+r09JSUk9XPjIyytFRXk1klNiEBwc4MKS7S/KGkOKiCHIUzHkCg4V1UhJFTEE6cPh+PF83HPn29izK9N+OM22DAkJxMWXjcFjT8xpttS1L/NySwSHGl05dBRxroih0gUx5NacwC/Fa7C+4DuU1ZXAz9cfZyfMwoXJN3cUAppiiBXXg3+H2+uxQW6O4FBZg9QusQgMZAydnYMe15g9ZX7+6Xq88tJi5OaU2my+ev3TSEqKslnGNyRAAiRAAiRwKhPwoYjpU715bhCx4uIKvP7q93hv3hqHTiImNhwPPzobF8we5dD+9ux0qojYsap9WJu/EL+VbESVuQJBfkEYGzsdY+OnIzGwS4coKGIqIsqgcTh0eNHqtAFFTCewLJYESIAESMDrCFDEdKoyd4iYyWTGxg378ejDHyEnu0TTmfj4+OD0/l3w+txbkZCo36/Qp4KIHazcidV5X2Ff6VbUWmoUCZuceDnOiD0P4f72saOIqZcnRcw4HDTdMFy4MUXMhTBZFAmQAAmQgFcToIjpVH3uEDEZelFhOd57ZzXembsKtbUmu88mPj4Cjz91KaZOG2L3Po5s6M0iZq6vw87SjVhXsBBHK/ajTkhYVGAspiRehuHRExDiF243EoqYiooiZhwOdl+8Lt6QIuZioCyOBEiABEjAawlQxHSqOneJmMVSjxPH8vHO26sw/4uNdslYREQwHntyDqbNGIpAncavWbF6q4jVWKrwc/Eq0R1xAfKqM2GuN6NrWG9MFhLWN3wYAn2Drado1zNFTMVEETMOB7suXB02oojpAJVFkgAJkAAJeCUBiphO1eYuEZPhm80WZGYU4qP/rcXnn2xQkmO0dVqnn56Kex6YiTPG9RHJVALb2sxly71VxA6J7oiLst7H4YrdqK+vR8+IATgv6Sr0CB0APx/tiS4oYuolRREzDgeXfcg1FkQR0wiMm5MACZAACZyyBChiOlWtO0VMnoJsGSsrq8JvO45hzepd2L71CA7sz0Z5eQ1iY8MwYFA6Jk8dgjPP6ouk5Gj4+/vpdOa2xXqriO2r2IqFWe/huOiSOCj6DExKvBRpwT0dkjBJhCKmXhcUMeNwUCNx/79GE7Hiogrs+u24klHU/TROPuLp/dOUzKZyHK+ej5UrdohET6uRn1em52FYNgmQAAnYRSBVZBn/3U0TcObZp9u1/amyEUVMp5p0t4hZT0O2jtXU1KGuziwSeBSrUwmIizs8LFhJ5e/utOXeKmLmehMyqg+h0lSOlOBuiPCPga+PrxWz5meKmIqMImYcDpovYhftYDQRe+3lxfji05/Ej1bVLjpD54qJig7DJ18+gLg4+8egOnLEb7/ejH8/vxBZmcWO7M59SIAESMClBLp1T8ADD80SuQuGurRcoxdGEdOphtwlYhYxdqmuvhZBviEnnYkRJMgIMTRJkLY53eqhTrHnA+d/mW6KgfOIcS4z0UJqgDndTrphuGmB0UTs+ee+wScfrUd5mTFELDklGktWPKbb/JPWaqaIWUnwmQRIwAgEKGIuqgXrZMqc0Fn/CZ2L6nLxWcbLyK46hilJl2Nc7AybWjSCBBkhhiYJal3EpHC5QrZs4Ld40xQDRYwiRhEz2oTO+XmldiU6avGx1uVtWHgwIiNDoXPPRGxYv1ckePoJhSLzLh8kQAIk4GkCSUlRmHPpWAwf2dPTobj1+GwR0wm33i1i1WJS4SW5H2FN7jdCInwxKvZcXJl+n83ZGEGCjBBDkwTZiphsTcyrzUB+bRZ6hQ0RrYraMiHawO7gTVMMFDGKGEXMaCLWwceXq0mABEiABEhAFwIUMV2wAnqKmGzBOVzxG+YeeRpVpirEByVjWvJVGBE90eZsjCBBRoihSYKaRKzWUo0D5Tvx4Yl/wmQ2Y1z8ebgw5RYbfq580xQDRYwiRhGjiLny7sKySIAESIAEvJUARUynmtNTxKrM5Xj32LPYV7odgX7BGBEzHjOTbkCYf4TN2RhBgowQQ5MEqSJWairCtpK1WJD5jpikuQ5BfiEYEzsZF6XeZsPPlW+aYqCIUcQoYhQxV95dWBYJkAAJkIC3EqCI6VRzeorYryU/4P0jzylZ/NJCe+HiLreiW0i/k87ECBJkhBiaJCgGFT6FWJH/JTbkLRHtihYhYcEYEDkGM5OvR2xg4kkMXbWgKQaKGEWMIkYRc9WdheWQAAmQAAl4MwGKmE61p6eIzT32FH4r2ixawCIxLeUqnBU7q9WzMIIEGSEGKUHl5ZXwiSvD+tIF2Fq0Dqb6OgT7hWJYzFmYkXQ9wv2jWmXoqoUUMZWkEbIFMgZXXdWOlWO0rImOnQX3IgESIAESIAHnCVDEnGfYagl6itiW4lXYVLgMiYFpmJFyHUL9Wp9vxggSZIQYsnLzsavoF+z2WY2j1bsVCYsMiMFIkeBkYvwlQsIiW61DVy6kiKk0KUHG4eDK61tLWRQxLbS4LQmQAAmQwKlMgCKmU+3qKWKyS11m9VFE+EUhMiC2zTMwggR5OoZaSw0256zB6rz5KKjPVLojJgan4ez4WRgTMwUBvkFt8nPlCoqYSpMiZhwOrry+tZRFEdNCi9uSAAmQAAmcygQoYjrVrp4iZm/InpYgGaenYzhUsRMLs9/F0Yp9sNRbkBbaA+cmzsHQqLN1nzuseT1RxFQaFDHjcGh+fbrzNUXMnbR5LBIgARIgASMToIjpVDsUMRWsp0VsX8U2fJvxNrJFC2LPiEEYH38++oWPgJ+Pv04133qxFDGVC0XMOBxav1L1X0oR058xj0ACJEACJOAdBChiOtUTRUwF62kRqxITX2/N3ozCynz0Tx6EruE93S5hkgRFTL0eKGLG4aBGos+/lZW1qKmutSm8pqYOx47m4fNPN2D50h2orq6zWf/gn87H6DN6IywsCDExtuNeAwL9ER6u34TrNoHwDQmQAAmQAAm4iQBFTCfQFDEVrKdFTEaRk1uEiopqdEmNR1BQgE413n6xFDGVD0XMOBzav2IdX2symTH3jeXYtPGATSFmkwWlJZXIzCxCaWmVzTr5JjEpEomJUQgI8EdwiO3ndPiIHvj9vdNP2ocL3EtAyvOObUdw4kQhzhjbBympMZoDyM8rxQ+rf0NoWDDGT+iP0FD3jNPVHKiLdygqqsCXn21A9x6JmDxlsObS6+vrkSG4r1qxA2PP7ItevVM0l9EZdqisqMG6tbvFfcQPI0f3QkREiObTPnI4Vymjb98uGDy0m8e+N2gO3Mkd5NQyW385jIKCcowRP4olJmnPJp0l7u9r1+xCQmIkxo7rK+7lgU5GdervThHTqY5dJWJ7yn/Gsaq9GBJ5NhKD0jSNazKCBBkhhiYJUid01qnK2y22KQbOI8Z5xE7tecRqa03404PvY8mibe1+JrSsnDx1MF7+701aduG2OhA4Klo0//PCIhw6mIObb5uMmeeP0HyUDT/uxZ//+CH69kvF7++ZjkFDumkuw9t2kBK1eOEveObpL8V5d8G/X/4doqLDNJ1GXZ0JL/zrW1HOVkydNgSPPH6Jpv07y8Y/rtuN119ZiqqqOjz1zOUYMChd86m//+4afPDOagwdfhrue3AWunRpOyma5sINvMPePRmQczwePpSLO35/nkOf7zWrd+G5Z78SPxQk4867pynXu4FP2RChUcR0qgZXiFi5qQQfHX8RRyp3o1tYH/yu6yMI8rX/1x0jSJA7YrCILJLFtbnIrclEeojo2uQfYVOrTRJEEaMEGUOCjNAyaPMhceEb+YXxmb98jp+3HEKIaO0IFN0Ko6NDNR2h3lKPvPwyZR+z2YLh4gvRY3+5VFMZ3Nj1BPbvy8JfRd0eOZyHu+4+D5dfdZbmg6xcvgN33TYXg4WAPfCQyF4rWtaM9qiqqsXy77dBimd8fCSuuFr7eTY/JyliH/9vrWD3JXr3ScG89+9EfIK2aVPkDxx//MN7WLnsN0ycPBAvvXJj80PwdQOBxYt+xn9eXKy0uv/n1RsxYlRPzWxe/vdivPv2KnGNdsWTf70M3U9L1FyGN+6wbesR/OOZ+Th4IAf3P3Q+rnTguv9+8VY8+din6Ns3RXy+L8CQYd29EYVbY6aI6YTbFSL2ddYb+Cl/GWos1egdORg3dXucItaivsz1Juwp+xkLst9BrbkGZ8RNxdTEK222ooipOIzw5Z8xGKcubD4kLnwjvnOKLogVqK01w8fXBz4+gJ+vr6YjiCIgBUx91CNQdFeMjNImc5oOyI3tIrBndwaefPQTZGUVn9Ii9t68VXhv3mqUlFTBz88XK9f9xakxihQxuy4vl2xEEXMcI0XMcXbO7EkRc4ZeO/s6K2K7yjdjQea7yK46Kua6CsCN3R9Hn/Ch8PWx/wuNO1qj2kGgrNIzBlN9HdYUfIOVOV+gylQhvuz5Y6wQsYtT77AJiyKm4qAEkYPNB4NvSEAjgZ07jindCkuKK09ZEdv262E8+qePcehQDuSPCvKxcu2TYjyc493TKGIqR3f8a2QRW/r9VhwVrcnyenDFw9/f12YcV0hIkNJ6l5Yux8NrzwxNEXNFrWgvgyKmnZldezgjYrJL4rfZb+PXoh9gspgwIu4cXJxyO0L9bLvcdRSInhLU0bGt6/WM4Yus1/Bj7nfKoaSg9g4fjDlpdyE+0HYQM0VMrQ2KGDlYP5d8JgFHCCgi9tD/lJaiU7Vr4kMPvI+li7eJFl1TI6IPPr5HJH7Q3sXNWgBFzEpC/2ejitj2bYdxy+/eaDVRkaupdOkSg2kzhuLSK85Et+4JdhfvChH76ouNeORPH2H0mJ7smmgneYqYnaC0buaoiMlJhzcULcbynM/EuKcCRAZG447TnkVycFetIXh8MmUZsKtFrB71qLPU4NPM/+CXgh8UJgG+gTg9cjguSb0LkQEnZ/GiiKmXDkWMHFQC/JcEHCNwKouYlKUVy7bjn//4VkyzkG8D6LkXrsH5F46yWablDUVMCy3ntjWqiMmxkU888inKy9WMsbJNzGKuV7pgt9ZC5idau2S3WNGzu8OHGFILi0WMlhflNS9Ljs29YPZIXHP9OeiSFgvfDrqIU8Q6RK3LBhQxXbBKASlVUqbL9L5aUqYfFRkSF4ouiQfKd8DfJwAXdLkRo2MmaxobZj0lV0uQtVwtz66MwVJvRkFtNj7PfAX7S3coYYT4hWFg9BghYXe0yYgiptYYRYwctHx2uS0JtCRwKouYTLv9z398I2Rsh01rmGTw9+euwuxLxrTEYfd7ipjdqJze0KgiJqdtWP/jHshpDMTvyYqAySyFW389epL4y9T7cmqHYcO7w9/fr10mFmFhJWJakOPH8rFvbxaOHy8QczjaztF49jmn49Y7pmDI0O5KWv+2CqSItUVG3+UUMZ34OiJiMinHirzPsDr3K5iFdPSNHIaLUm9FQmAXh6J0pQQ5FIDYyVUxyKQcRyv34svM/yKr8qi4j9UjKiAW4xKmY2qCbXKOlrFSxFQiFDFyaPnZ4HsS0ELgVBUxmRjmw/d/wNw3Vyg/orZkctc954l57Ga0XGz3e4qY3aic3tCoItbaiRULKfv38wvw6ccbbFYPGdYND/7pAowc1ctmeUdvZNr5N/+7FN+LrrUy82fzR89eSXj+pevRp2+qSKDUejvbVjE+8u8ia+Lhg7kOZ01k18Tm1O17TRGzj5PmrbSKmOyS+FvZRnyX/YFI0HEMMUEJuDDlZgyIHK20jGkOQOzgKgly5NjWfVwVQ1b1EZHK/wVkVB5WJCw2MAmTky/F2Jhp1kO1+UwRU9FQxMihzQ8JV5CAHQROVRGTafn//tf52LB+X6sULrtiLJ762xWtrrNnIUXMHkqu2cabRCwrqwj33vk2dmw/bnPyF1w4EnffPwNp6XE2y+15s3vXCbz0/CKs/WG36K4oO0A2PS66ZDQeF9OAhIS2Psnylk0HxBQLX0C2Djuavp4i1sTb3le6iFhRYbkyq7aWLnn2BmzPdvli/pnK8mokpURr6hZoT9n2biOboeUM70kpsmtix9lrysyFWFn0GTYVLYNPvS9GRk3BxNhLRKuP9g+iNUZrDMkihkA7YrDu58pnV8Wwq2wzFua9jVJTPuJ8u2JCwkUYFnW2XaG6Kga7DtbGRo0xiK6qcl4lTzzkjwNVlTVIZgwKB9ltOMCDdSF/hZd/aD11PXjiGuQxvZvAqShi5WXVeOU/i/HJhz+ipsa2S5e1tuQ4m/97/lrrW83PFDHNyBzewVtETF4T8geA6658WelaaD1h+ffg1jun4KZbzkVwcOvCZN22tWeTySyu5XV47eXv1W6QzTYKDg7A14v+1GYCj5827MNTj3+GAvEdmiLWDJzOL3URsWNH8hAREeKxL/+FQgTlF86ExCiPfcnRGkOO5RDW1XyOE3V7kejbHeODr0AXf+cmuiwsKFOapz3KwUUxVJrLsK1mBcpRhH6+ZyM92P4m+1OJgzP3AyuHxKQo0U/cMzJYIK6HatFlotPHIP7QRUQEo3uPJI/do5y5lrhv5yRwqomY/NK6TrQcyAl8d/12AhGRIcr9qa7ObFPBI0b1wP8+uddmmZY3FDEttJzb1ltETF57q1fsxN13zrM54bT0WNz/4PmYMWu4zXItbzaLlq0X/7kAv/5y5KTd5HjHCy8e3Wr3RIrYSbjcskAXEcvNKUZsbIRdLUF6nKW0+QohYklJskXMM184lVY5DTFUohT7a7cg23QYvYNGoJvfQPjBudi1xqBHXTTGkCzqwkOtD9YYkkUMnmp9MEQMspVWSJBHORgghjwRg+w/n5wsWyfbHwitx2dCliljkBmxunZL8Ng1qde5sdxTl8CpJmIywcHrry7FogW/iAnDQzB8xGkiecIR5GSX2FRierd4LF35uM0yLW8oYlpoObett4iY/Bs09/VleO2VpTYnPPqMXiLt+/lKYg2bFRreyInXn/+/b7Fu7Z6T9rrz7qm4654ZIoPiyePEKGIn4XLLAl1ErEJ0C5Td4WQzqCce8kuOjCFFdgv0VAwOZE2ss9SKJB0mBPoGiYmbnf+C6KrxWc7UoRFi4BgxtQY5RowcnPksc18SOJVErK7OpAjYSy8sUrpwzb54FEaO7IE3X1+hdBlrXtvR0WHY8POzzRdpek0R04TLqY29RcRKRabD+++eJzIp7rc539miteoPIlFHfLy2eWObF/KbmHj9+ecWtDrm8Y7fTxGJZ2ZSxJoD8/BriphOFaA1WYceYRhBgrTEYKqvQ35NJqrrq5Ac1BXBvqEuwUIRUzFSxMjBJR8oFtJpCZxKInbwQDakhC37fjuGDuuOex6YgdiYcDz68Mf4badt8oSQkECsWf+00nXRkcqniDlCzbF9vEXEMjMKcckF/0RxcWXjiYaHB+Pm2yaJ/ycrPSYaV2h8IdPkv/jPhdi5w/Y6lsU88/crcPGlZ7Brokamem5OEdOJLkVMBWuviNVYqrCn7GdsLFyGWjFh85lx0zE46iz4uaBlkCKm1gVFjBx0ut2x2E5C4FQRsZLiCnz2yXq8/eZKJUHHLbdPxnU3TFASbN171zyle2LzKlWSHCz8I7qdlth8sd2vKWJ2o3J6Q28QMZnNcN0Pu3DbTW/anG/37glKtkRnxofJAr/8/CflRwb5PbT5Q3a//eiz+9CzV3LzxY2v2TWxEYVbX1DEdMJNEVPB2iNiVeYK/Fy8GuvyFyK35oRI1++PaclXY2LCxWJWeV+na4gipiKkiJGD0x8mFtCpCZwqIibHgf3lsU+xd08mJk0ZhPv+MAu9eidDZlC845Y3sWXzQZt6lhmg5757O0aOtj9JVPMCKGLNaej72htETCbq+I9ojX3rjRU2MEaO7omHHr4Qg4d0s1mu5U1OdrHImLgE87/YBHmc5g85DcPDj10M2cLb2oMi1hoV/ZdRxHRiTBFTwXYkYlLC1hR8g40FS1Fcmw9/X3/0ixiO85KuQlqIY3/0WlYpRUwlQhEjh5afDb4nAS0ETgURy88vFS1hK8QEzmsRnxApEhdMgxyXI5PnWMSUEnfe+tZJczDJJE//+vd1mHLeEC24GreliDWi0P2FN4iYHJ94+81vYP0623nrZp4/QszzNQdR0Y4Py1j2/TY89/dvcOJ4gQ1rOc7xjXm3YeCgrq2OD5MbU8RskLntDUVMJ9TtiVhdfS02FC7B8cp9GBh1BoZEnqVLFB1JkC4HbVFoezHI7ojfZM3FtuL1qDSVwU9IWP/IkTgv8SokB3cV3RKdyxppDYUippKgiJGD9TPBZxJwhIC3i5g1Xf3DD32Imuo6zLpgBO68exrknILWxx/ufU+MG9uG5ins5XQff/nrHDG2Zqx1M03PFDFNuJza2BtETM61O/mcp1EpMmtbH2FhQbj2hnNw972tZzS0btfe84H9WWIqhu+wYtlOyHkqrQ8pYfc9OBMXzB7VZmuY3JYiZiXm3meKmE682xOxjKpDePXgI6irr0FkQKyQjxEYET0R3UNPd2k07UmQSw/UTmFtxVBuKsG7x57F8YoDypiwIL9gDI0+E1OFhEUHJIiskc53SbSGRRFTSVDEyMH6meAzCThCwNtFLEdMrfOPZ77Cku+2ol//LqJL4kycPb6/TQvBE498jAXf/IxqIWrWh7+/nxC2qbjj99OsizQ9U8Q04XJqY28QsU0b9+H6q161Oc/0rnG4+77pOP/CUTbL7X1z/LiciuF7fLfgV5trN1q0rsnrfMasEQgX8/v6nJy1vvEQFLFGFG59QRHTCXdbImapN+P5A/cgs/KocmQfMQpKtvyE+oehT+QwjI6ZLCYr7o1gP8ebpq2n1JYEWde747m1GApqc/DWkceRV50NS71FnHsExiecjwnxF4nU/cGCSDt3CgeCpoip0Chi5ODAx4e7kEAjAW8WMdnCtXrFDvzhvveVboiXXjFOGY8TEGA7Vcx/XliI/32wDmWlVY3n7e/vi6uvPVsZX9O4UMMLipgGWE5u6g0i9n9/+wrvzlttc6bDhp+GR5+8BAMGptsst+eN7Ib4738twLKlO1Bba2rcpauY/+72O6coXWrDw0PQ0VcrilgjOre+oIjphLstEVtbuADzj8tMOfUnHVkKSLB/CHqED8C42BnoFTZIEZOTNrRzQWsSZOeuLtusZQxSwv57+M8oqM5VjhHiF44pyZfiHCFhvi5IzNFa4BQxlQpFjBxa+3xwGQnYS8CbRSxbJDG46tIXkZVZjEFDuuKJpy5Vxsu0PPe5by4TY8hWobioonGVHD924cUj8bd/XN24TMsLipgWWs5t6w0idt1VL2HzxkM2Jzph4gA8+8+rECOmULD3UVNTh+WiG62cFPrI4VzIbIzyERTkj4mTBuL2u6aid59Umxbf9sqmiLVHR791FDGd2LYmYjIj4MuHHkJ5bZk4qmz1OVnGrOFIIRseMwHnxl8suuolOpTGvaUEWct253PLGDYVLcfnx18VE1ebERUYi/NTb8DwqHN0DYkipuKliJGDrh80Fn7KE/BWEZNfWN9/ZzVeEHMrJSRGii+oU3DVNeNbra9v5m9StpN/N6wPX18fjBnXB/Peu9O6SNMzRUwTLqc2NrqIyYmcxwz/s805hoUH4TLRQiuzd3b0kNdSaUkVtm87jDdeW4Yd248r3Q19fcVP2eI6ldk/r79xgsgGOhhyXjItD4qYFlqu25Yi5jqWNiW1FDHZBe+TjBexuWCVMv4pLihRPPuhtLZYGSNlrm9qTm5eUIh/KEbFThbd9mYj0j9Ok5C1lKDm5brrdcsYqi1i/pbMV1BjqsCs5BuREtxd91AoYipiihg56P5h4wFOaQLeKmJbfzmMe8T8YAX5ZRg9phdeePl3bbY8yBaGZ/86H1lZxY116SMG1gwYmIbPv36wcZmWFxQxLbSc29boIvbjut24+frXbU7ST3R9TRAZPFNSom2Wt3xTUVGNMjHFgmzVtT6kfMXHR2DcWX0xddpQ5VlOt+DIgyLmCDXn96GIOc+w1RJaitihit/w+sHHRYKOWpGgIwaXpt+F3mFDsKf8F/xavAaHy/comQNN9U0DhJsXfFp4P0xKuAynhfVHqOjOZ8+jpQTZs4+rtzFCDBQxtVYpYuTg6s83y+tcBLxRxOrEmJl77nwba1bvQmqXWDz86EWYPHVwmxW3Yd0ePPHYZyel/05MjMKqH5+yu5tX8wNQxJrT0Pe10UXsmb98jg/FGMTmDzkGsa25vZpv1/y1HPMoE8pEiAQcU6cNwlnjT8fAwd0QGRkqWsKCxHWqPeEZRaw5Yfe9pojpxLq5iJn8q/Cfgw8itypLdEj0waTkSzAz6frGI9dZanCo8jdsLFyGoxX7UGoqhMlyspDJ1rExsVMxLm4GYkRmQX+f9n/1MIIEGSEGiph6qVHEyKHxpsMXJOAAAW8UsXVrduGWG99Qxs3IeZr+9n9XtXvmO7YdxUMPfICjR/JstpNzji1a+oj4oiuSHmh8UMQ0AnNicyOLmEwpf9VlL2L71mONZyhbtHr2Ssb0mUMbl9nzQo553PrLUWRnFyldFeU4xrS0WJGYYzCmTBsiykyBTImv5UER00LLddtSxFzH0qYkq4jFJ4fhp/KFWJb9ueiCWI34oBTc3fM5pVXMZgfxpkasP1CxDb8WrcWRyj3KBMetdVnsGTEAZ8ddgP4RoxDg2/oM6bJsT0mQbNUrrsuDSXS3NBUFwVTlo8zT4mhzeUtOWt9TxFRiFDFy0PrZ4fYk0JyAt4mY/Bt49WUvISOjEH36puIvz1yGIUO7Nz+lk15nnCgQk+2+iQP7s23WxcaF45Mv7kd613ib5fa8oYjZQ8k12xhZxDLFdXjepGdgEq1Z1keYGMd12ZVj8ceHZ1sX2fUsrymZLfHzzzbg2/mbkZPTNKaxT98U3HTLJJw7ZZCmcWIUMbvQu3wjipjLkaoFWkXMJ7YMn+W8gKyqY8qExZen342R0ee2e9RqcyV2lW/Gz0WrcKRiD6rEeKp6m8QePogJisP0pGvRO3yISObR+h8GT4iYnKRZdsPcVLQMleYKDKqfjBT0QVqXBPGLZPsteO1CcWIlRUyFRxEjByc+RtyVBOBNIiYnb371P4vF3ErLEBwciD8/PlskRDizw1osLirH7655FXv3ZNpsGyXmY3r5tZswSowx0/qgiGkl5vj2RhaxBV9vwp//+LHNZMuJInnM3ffPwJzLHJssvFRMs/DJh+sw943lyvgxK7m+/VJxy+2TMfHcgQi1s2WMImal595niphOvK0iVhedh89zX0JhTQ76RQ3Hzd2etPuIWTVHxPixH/BbyUZkV58Qc241/Yoisy6Gi/m3RsSei7Gx5yEp6OS5J9wtYpXmMuws24Qf8xfhROUBpRvm2IBLMShwPLqlpVDEKmpEy2Cs0kXG7ovAhRtSxFSY5ODCi4pFdSoC3iRi20UXw3vvnCe6bhVj9Bm9FImKjOp4fk45D9OVc17Ert9O2NSt7JL47HNXKdnobFbY8YYiZgckF21iZBGTk4V/+fnGxjTz8pR79EzCP1+4Fv0dmD/MiuzYsXw89+xXWLFsp3WR8jxocFc8+PAFGDGypzJ3ns3KVt5QxFqB4oZFFDGdIFtFLDopEDur1qKwNg9DY85GVzFZs5ZHlWhVOlCxHZuLVmB/2TZUm5smmZTlyImfh0SfiQkJFyE5qKtN0e4UsQpzKX4RSUfWCQnLFdIoJ6nuEzEYw33OR2x9OrqkxlHEKGKgBKkfUSNwsLlZ8A0J2EHAW0SsUtxrn3j0Yyz5bpvypff230/FWWf3U87QV2RAlPMs+beYyFmulF3GampM+Mvjn2Hf3ixIgbI+wiOC8fhf5uCC2aOsi+x+pojZjcrpDY0qYjJpzJzZ/8L+ffK6Uk9Tjg8bOaon/vvWrXa3WrUGqKqqFvM//wnPPPXlSatvvGWi0k0xNi7ipHUtF1DEWhJxz3uKmE6crSKWkhqjCIhJZEv092l7PFdHYWRVH8GO0g1YmfslaszVNpuH+IVhcPQ4IWOzhYx1a1znDhGTXSZL6vJFV8Tl2FS4AgU12cq4tT4RQzAx4RKElqegptLMMWJirIL8csAWMcGhskbJXhYY6N94rbrzhREkyAgxuJM5j3VqEPAWEVsmUtA//udPUCLmbJIPOYFzYIB6v5FffjsSMflluUTM1dRcxEJCA3H7nVNw6x1TNVcmRUwzMod3MKqIHRRjDq++/KXGa1KeYHBwAM6/cASefvZKh89X7igncl61Yiceuv99SClr/uh3eqpoyb0ap/dPa7641dcUsVax6L6QIqYT4pYi5orDyLFjPxevxOr8b5BfnWVTZIhIaT84eizOETKW0iBjeotYvZgbLUdMUr06/yvsKt2MsrpihPlHYmDUGNFdchrSQnqiMK8CFYqAqEJqE7Sb3nCMmAraCF/+GYNx6sJNHz8e5hQi4A0idmB/Fp59ej42bzoIOU7MVQ/5pfm6G87B/Q+er7lIiphmZA7vYFQR++LT9fj7M18rP0RaTy4mJgz3PzQLl14+zrrI4edNG/fjkT9+hIwThTZlyOv2zXm32zW2kSJmg85tbyhiOqHWQ8RkqDIj4X6RWVG2jB0o22ETvZSxkbETlZax2IAkXbMmypaw3JoMLMyah71lW1FnqUVUQCxGx03G6JgpkMf39fHVNQabk2/nDUVMhUMJIod2PiZcRQIdEvAGEXv+uW/x8Yc/oqK8GhMnDYC/v1+H59Vyg0MHcnD0qMj8a7I0rgoU3RkvvmQ0nvzr5Y3L7H1BEbOXlPPbGVXEHv3Th1jwzc+Q839ZH7LH1Cv/vcmp8WHWsjZvOoBH//ghjh+3FTG5/p0P7sIZ4/pYN23zmSLWJhpdV1DEdMKrl4jJcOthwdHKffgu+30xbmy7zRnIyaInJ12GMTFTUZJfrVtrVH5NFr7MfE05vlkkEYkSmRvPTpiFUTGTEOkf0xiT3q1yjQdq5wVFTIVDESOHdj4mXEUCHRIwuohtFq0CfxOtYXJ817AR3fHk05fBkS7QC7/dgvfeWYPysqZhAHLSXTlprhzPo/VBEdNKzPHtjShiNWLi5StEAhiZiVNeC/Ihu8gOHtIN896/C7Lbq7OPdT/sxh/ufQ8yi2Lzh/wB4a137sBoO7J9UsSak3Pfa4qYTqz1FDEZssygeKxKytgHNjImJ4yOD07BzOTrkFTdH9WVJl3GZx2s2In/HnxUxGFBQnAXnJd0JfpGDEeYn+2AUIqYeoE1ySCzJnKMGAyRtESnWx+LPYUJGFnEysQX0P8TmeMWLfwVISEBePpvl4sWsUF2ZYtrWWXfijTj/xDdyIqKKhpXyS/OQ4Z1x0ef3de4zN4XFDF7STm/nRFF7Lcdx3DX7W8jR2TwtD7kDwSzxPiwv/2j/QnGrdu391wtRO+b+Zvw9JOf22RklPt07RaPf/37esgMih09KGIdEdJnPUXMhVxPVB8UWQMXQmYQHIppiLN000WCrCFLGTtcuQvzM99AZuUR62L4iKxQ/SKHY4zvxYgyp+gSQ6W5HAuy30GZqRCT4i9DWmhPBLSSjIQiplYLRayBg5h0kiJGEWu8WfGFVxEwsogtWvAzXv73YhwTXQovu3Ic7n1gFuQYHEceK5fvwBOPfIKCgnKb3Xv3ScG3ix+2WWbPG4qYPZRcs40RReyduSvwXzGfnfyxwPoIFxM5P/HUHJzvQBZOaxnW5+ysInHtf4f5X2yyLmp8vnjOaPz+vhlISWnqqdS4ssULilgLIG56SxFzEWiZSGNN/tdYlTcfJksdzgy4HAMDRbr6tGRd07bXiWyMW8VcY19mvG6TTdFfpI8f4jsdw4Mno2d6Vx1iqEe1mLxZymCwb5gyHqw1lBQxlQpFrIEDRUwBYYRuoq19XrmMBNojYFQRO3E8H8/+dT5+WL0bcuLlue/egX6nd1F+lGzvfNpat+mn/XjwvveRl1dqs0m37gn48LN7EWdHKvDmO1LEmtPQ97URReyRP/4P34mWWjk1gvUhfyR478Pfo3ffVOsih593bD+Ge+96G1mZTS1usrAoMW/eg3+6ADMvGCFaiTvu/kgRc7gKnNqRIuYUvqad95b/im+z3lZapoL8gjEl+Cb09BuhS2tU01HVV1IC1xcuVropmi1NH/QASwimh9+KsV3HIzgoqOVubnlPEVMxU8QaOFDEFBAUMbfcfngQFxMwqoj995XvMe+tlSgXCTpuuuVc3HLHFOVLqKOnf/hgDm68/jVkZ9l+sU3vGqeMt5FCpuVBEdNCy7ltjSZiBflluOWG/2L3rozGE5O9lgYMTMOn8/+gjBVrXOHAC1n+Sy8uxBefbmwcf2YtZtqMobjn/pk4rUeidVG7zxSxdvHotpIi5gK0ubUZWCzGam0tWqeUNinpUgysnwxUB7hFxORBs2qOigyG72FXiW3TdP/I0bi4y22IC0xy6ExldkSZHsQHvg7tTxFTsVHEGjhQxBQQFDGHbifcycMEjChiG9bvxYv/XIAd249j7Jl9lAQdWkWpJVb5d+uKOf9GZoZtBrrklGj884VrMXJ0r5a7tPueItYuHpeuNJqI/bh2N/7y2Oc4caKg8Tx9fX0x+5KRYnzY1Y3LHHlRVVmLTz5eh+ee/eak3ZOSo5Wuj+dOHnTSurYWUMTaIqPvcoqYk3xlsoqtJWvx2YmXla6BXUJ74IKUGxFT2UNkLKx2m4jJ09hRuh5fZ85FYU1u41n5+wbg8rR7MDT6LDGhdEDj8o5eyC6H2TXHsCLvM5SbSjAr+QZ0EfOC+WoUMoqYSpoi1sCBIqaAoIh1dAfieiMSMJqIFRWW49WXl+CzjzeIJAUWPPP3KzDj/BEOZUpszluOY5094/9EKvCmL89yfWJiFJ7622WYcO7A5pt3+Joi1iEil21gNBF76/VlSmttcbE6ubg80YAAPzz/0vWYct4Qh89bXqM/rN6Fxx7+WMmObS1ItrbFxYeLicen4JJLz0BoqP29oShiVorufaaIOcFbthZlVB3C11lv4WDZTjGZcTjOTZyDM+NmojS/zu0iVm2uEuPUvsJKMU6t1tyUdjcuKBG3nPYXJAali5Ytnw7PuM5Sg93lP2N57ufIqDwozrIel6bdhZEx57aakKO9AiliKh2KWAMHipgCgiLW3l2D64xKwCgiJjOAV1XV4PNPN+CNV5cq2Q2HDO0mWgAudcmcTJL/jCl/w+FDTT9qymVyXM+9f5iJy688U761+0ERsxuV0xsaScTkhOJ/fOADLF+63Wb+sNCwICxZ/igShNhrfZjF3HZFReWQCUDmzV1ts7uUsMSkSPzupom4TEwSLY+j5UER00LLddtSxJxgKcdm/VjwnegS+K4iOIOiz8AMmTZeCI/e6evbCvtI5R5lfjE52bParVDdcnrqNZgQdxECfdv/YFZbKkUL3zqsEhNG51ZnKEk4UkK64uLUO9A9tJ94r21yTIqYyp8i1sCBIqaAoIip1wP/9S4CnhYxi6Veyboqx8XIL7cfvLdGpAQvUSCeeXZf3PeHWTi9f5pDKeutNSG/PMu5mO64+U3I85XHtD7CI4Jx7fXjcefd0zRNFE0RsxLU/9koIiavmz27TuCxP39sMz5MEhg4KB2ff/2g3TBkWXIusrKyKuzfl4k3/7sMmzYetNnfz88XqV1iceU1Z+KyK8YhLCzYZr09byhi9lBy/TYUMQeZykmMD1XuxHyRrTC76jhiAuMxLflqjI6ZopToKREz1ddhXcECrBAiVV6n/oGSAcUGJeC2054RrWJdWj1jKW3lpmL8WvID1uYtQH5NNgJEt0bZ1XJm0vU4Law//EQmRq0PiphKjCLWwIEipoCgiGm9k3B7IxDwhIhVV9Vizx6R6ED4kOyOJZMerBPjbn7Zchi1tU3JqSIiQkQq8BGYMHGAyJwYhqSkKNE6ENVh5kQpXVmZRUoLm/zCKyVvk5gY+qsvN6GivMYGe5CYHPeMsb0xR7Q2xMaFK4kW/Pz8lNcJCZFtdomkiNlg1PWNu0VMXjMlxRXKeMI6IfHyIZdVivFbSxb9gqXfb7dJWy/Xn3Nuf9x407nw8/cTPxp03EupTEwsfvxoPn795bDSHbH5pM2iEUxMCB2E00WW0EuvGIvpM4e3eR3KY7f3oIi1R0e/dbqImOy3LW9KQcH2j0ly5Snmi5SzFRU1SBaDFfWKodxcjEVFb2N70Xr4IQAjIibhvIRrEOwXopxKYwxicG9QkHs55NScwJI8MdFz1S/ib5elEe2U5CswPvzik1q15DallnxsLluKTYXLUGEqR0B9CE4LHoBzE+agS7AYG+bjWLKOJg4xgoN2kWsM3okXUorlH3A5j4acZd4TD8agUm/kkCrqQkxo6YmH/HFA/pFM8XAMZnM90tLjPMbBE+x5TO8m4AkRW//jHjx0/wdKRjiZnEBOXtveQ/69jYkNw/U3nINrrj+nw5ar1at24s3XluGo+KIrxU4ew2xu+rvZ2rFk60NoaCACxD1MTh4tv/xefd145TtHa9tTxFqjos8yd4uYzAXw3YJfMPfN5SJrpyrupjqz8p3DJLoRtvWQ3QjlNWTPd1QpXrLM5g8pYLLVS07YPGKkyE1w0SjR0tbxpM3Ny2j5miLWkoh73usiYseO5EH+OuWpL72FQgSrxBdv2f9Wjy97svUox3IIX1X9C3VizrAEv3ScETgbp/k3DbzUO4aOLo8dNWuwqXYByuubsj5F+sdidtBDiPFryqAok3IUmDOxw7wSe+rWK+cT5heJ7j7DMCxwKuL8Uzo6VLvrCwvKxC+NtbrVRbsHb1jJGFQQVg7yV+KAAM9IUIG4HuQv3J0+BvGre4To5tS9R5Iu9yh7PhfchgS0EvCEiP3rH1/j7bdWaQ0VT4ukGhfNGStErP0fET98/wf858XvlO6Img/SsIPsCvb7e6e1OeaHIuYoWe37uVvE5I+Lr7/6PT763zrtwWrcQ84FJufJk2MV5d/Q0/t3wZixfTBseA+X/NBNEdNYIS7aXBcRy80pRmxshNtbgqxMCgpEC4hoEUtM0qc1SrYgZZj24avCV0RLkQ9GR03DsKDJ8K9vGn/VGINslQt0b4uY5FCJEiwtEensyzfBXN/UfWNE8HTMiL9eQSWFsrAuB8vzP8YB0xZYfMyIFl0sh0Wdg8HBExBZr22uFCv/5s8F+WprlEylGugBDjKWfBGDFHPG0MBBtgx6SMQa68KTMeSVKD8OJIsYPCWk+SIGX/GretduCRSx5jcMvjY0AU+I2NLFW/HDD7vFr/9Nf19bgyRbH2rFhLmyW1hAoB9uvnUSuqTFdtg18ce1e7B82Q7xtxzwF9ns7HnIY8hjyWPKrmXjJ/RX/m/rh1+KmD1UXbONu0VMjttau2Y3tm09grpas82kza45I7WU0DBVwpKFgMm/Xd1PS1R6VLjyGBQxV9K0vyxdRKxCTKooL5RgD3VNzJNdE0UMsiuaPc2+9uNq2rLaXCHSxW8QKlOP3uFDERNgKy3yVxJ3p69vik59tTZvkch8+ClKTc1axQKi8djp85TshxYhlIcqfsPcw0+JLItCVILTMDZuOoZEn4ko/7iWxTn0nmPEVGwcI9bAgWPEFBAcI+bQ7YQ7eZiAJ0RMZkiUf89looz2HnWi61ZNTZ0iYlKIZFd42f2ro4eUKblfoJA3e3+YkSImkyfIMUGym6L8riOf23pQxNoi4/rl7hax5mcgu7Z21HW2+fZaXoeHB4kxiW1fY1rKamtbilhbZPRdThHTia8RROxI/hF8kfMf0Xq3X5yl+GvW8Li5xxMYEDFakci8mgwsyfkQcj60IVFn4vTIkQj2DbVu6vQzRUxFSBFr4EARU0BQxJy+tbAADxDwhIh54DRdfkiKmMuRtlmgJ0WszaC8ZAVFzDMVRRHTibsRRExK0KLs97HLsgZ1Pk3zis1IvRZTEi5XzlxmWSyszVGkLDYgSWRKDHQpEYqYipMi1sCBIqaAoIi59DbDwtxEgCLmGGiKmGPcHNmLIuYINXUfipjj7JzZkyLmDL129jWKiB0qOoDVpneRYz4qsk5ZEOIfghu7P4FeYYPaid51qyhiKkuKWAMHipgCgiLmunsMS3IfAYqYY6wpYo5xc2Qvipgj1NR9KGKOs3NmT4qYM/Ta2dcoIlZWXoXyyGPYX/szaiw1ovvhWPQJGypavtof+NzOqWlaRRFTcVHEGjhQxBQQFDFNtxFubBACFDHHKoIi5hg3R/aiiDlCTd2HIuY4O2f2pIjZSa/GUqmMsrJ3/JRRREzOp2aKKcB3BfNQZSnHDV0fFZM6p9l51s5vRhFTGVLEGjhQxBQQFDHn7y0swf0EKGKOMaeIOcbNkb0oYo5QU/ehiDnOzpk9KWJ20NtRtgHfZX6AAL8A3NnjWZHMIqzDvYwiYr8U/IhfLYuRbz4uRNKCi9Nux5mxMzqM31UbUMRUkhSxBg4UMQUERcxVdxiW404CFDHHaFPEHOPmyF4UMUeoqftQxBxn58yeFLEO6BXXFeD9Y8/iSIXIPCjy6P6uxyMYHDG2g70AI4jYxrwVWCbS1xeaspRkHGEB4bj9tL8hLaRnh/G7agOKmEqSItbAgSKmgKCIueoOw3LcSYAi5hhtiphj3BzZiyLmCDV1H4qY4+yc2ZMi1gG9b7Pfxvq8xWJ8VTUiAiPx1Okfwkf819HDkyJWJ8aCbShaglW5X6G4Nl8JNSYoHtem/wndw/rZFX9H52fveoqYSooi1sCBIqaAoIjZewfhdkYiQBFzrDYoYo5xc2Qvipgj1NR9KGKOs3NmT4pYO/QKarPx1qGnkFNzHL4+vqJb322iW9/MdvZoWuUZEatHmakEK/O+wE8F36PaXAVf8V/vyMG4KPU2ZWyYPRLZdBbOv6KIqQwpYg0cKGIKCIqY8/cWluB+AhQxx5hTxBzj5sheFDFHqKn7UMQcZ+fMnhSxNuiZ6mvx3rF/YFfJFmWy42GxZ4sWpYdEa5J9M5u7W8TqRefDEtGNcnXefKwvWII6Sy38EIDeIcNwSddbER+c3MaZ6ruYIqbypYg1cKCIKSAoYvred1i6PgQoYo5xpYg5xs2RvShijlBT96GIOc7OmT0pYq3Qs9Sb8WvpWiVBh5zsOMQvDL/v+X9IDeneytatL3K3iBXV5WG5GA+2sWCZIo4y5h4+ozAyaAb6pfdCUFBA64HqvJQipgKmiDVwoIgpIChiOt94WLwuBChijmGliDnGzZG9KGKOUFP3oYg5zs6ZPSlirdDLrj6Gb7Lewv6y7UrK+inJl2JSwmUI8AlsZevWF7lbxLaX/IiPj78oxrLVIiYgHmfEn4eepjPgWx2ClNQYiphI4+9JDhQx9XNiBAFhDK3fs7iUBDoiQBHriFDr6ylirXPRYylFzHGqFDHH2TmzJ0WsBb060SVxRe5nWJu/EJWmcqSH9cRN3Z5AVEBciy3bf+tuETtYsQNLcj4UiR3rMTLmXDFx81koLzBBziPmSQFhi5h6nVDEGjiwRUwBYQQZbP8OxrUkcDKBfXsz8dzfv0ZxUQWuv3ECzr9w1MkbdbBkw/p9eOKRT9CrdzJuvX0yho3o0cEe3r9a/l1e8PUWvPCvBejRMwn/fvkGREaFajqx2loT/v7Ml/jxh70YP7E/Hntyjqb9O8vGq1buwLy3VqK6qg5P/vUyDBzUVfOpvzdvNT79+EexbzrueWAm0tK0ff/TfECD7LD118N46fmFKCyswC23T8GsC0Zojmzpkm345z++xoCB6bj1jinoPyBdcxmdbQeKWIsa31+xDQsy38Xxyv0I94/E7C63YHDUmZpaw2SR7hYxOSasoDYL8PFBQmAq/Hz8RQwlFDFRF00S5LmWwaYYYkXrpH+Lq849b43w5Z8xqHVtBA7uuep4lFOJQGlJJX75+RDKyqqUL7in9UjSfHry79LGn/YjODgAg4d0R2JSlOYyvHGHY0fysGH9XsTEhmPqtKGaT8FitmDTxgPIyCgQEpuCIUO7ay6jM+xw4ngBdmw/Cj9/X4wa3RsxMR3P+9qSy57dGdi96wSSU6IxRFyjoWFBLTc5Jd8XFpRDylhVVS0GD+2G9PR4zeeZmVGIn7ccRHh4sPL5jouP0FxGZ9uBItaixhdmv4PVuV8r826NiZuK6UlXI8I/psVWHb91t4i1FhFFTKXSJEEUscrKGqR2iUVgIGWws3No7Z7BZSRAAiRAAiRAAu4jQBFrwXp1/tf4UXRLjAiIwazk36F7aD+Rut6vxVYdv9VLxGTXSfmwZ7waRUytJ4pYAwd2C1RAGKE1yggxqFcF/yUBEiABEiABEvAUAYpYC/J5tZnIrDqEMNEtMT2kN4J8Q1psYd9bPUTsWNU+bC1eBzEQDOPiZyA+MKXdYChiKh6KWAMHipgCwggSZIQY2r15cCUJkAAJkAAJkIDuBChiOiF2tYjtLt8iukx+hYPlO5W5zC5Ovw1jY6a1Gz1FTMVDEWvgQBFTQBhBgowQQ7s3D64kARIgARIgARLQnQBFTCfErhSxbWJOs5W583Gi8qAyR1hEQBSu7fYn9A4b3G70FDEVD0WsgQNFTAFhBAkyQgzt3jy4kgRIgARIgARIQHcCFDGdELtCxGQmxPWFi/BT4TLkVp9QJCwyMAaXp90tJGwIAnzbz+RDEVMrlyLWwIEipoAwggQZIQadbn0slgRIgARIgARIwE4CFDE7QWndzFkRqzSX4YeCb7CxYDlKaguULI7dw/vhktTbkRp8ml0JRChiaq1RxBo4UMQUEEaQICPEoPWexu1JgARIgARIgARcS6BTi1iNpRq5tScQLBJyJAR2cSlZZ0SspK4Qq/K/wM9Fq1FRV6ZI2OCYsZiV9DskBNkfJ0VMrVKKWAMHipgCwggSZIQYXHrDY2EkQAIkQAIkQAKaCXRaEaswl0Kmqt+QvwTdw07HjORrRUtTd80A29rBURErFRK2NPcTbClahRpzlVL8yLhJmCHmM4sOSBCJOnzaOuRJyyliKhKKWAMHipgCwggSZIQYTrphcAEJkAAJkAAJkIBbCXRaEcuqPoLXDv0Z5aLFKTmkK2amXIuBEWNdBt9REVtXsACLsz9Epakc/r4BOC/5KoyNPQ9hfpGaY6OIqcgoYg0cKGIKCCNIkBFi0HxD4Q4kQAIkQAIkQAIuJdApRUy2hs3PfB2/FP4gEl4EYHjMOWLy5hsRLuYOc9XDURHbULgES4SImerrcGHqzRgWNV7EGOhQWBQxFRtFrIEDRUwBYQQJMkIMDt1UuBMJkAAJkAAJkIDLCHQ6EbPUm7GrbAvePvxXBWJaaE/M7nILeoYOdBlUWZCjIqbsW5uhzBUWI7oi+vn4OxwXRUxFRxFr4EARU0AYQYKMEIPDNxbuSAIkQAIkQAIk4BICnU7EiuvyMPfo08ioOIwgvxCMizsPF6Tc7BKYzQtxRsSal+PMa4qYSo8i1sCBIqaAMIIEGSEGZ+4t3JcESIAESIAESMB5Ap1KxMz1JizIfgdrcr9R0r/3jRiKq9P/gDAXdkm0VklHIibnCLOI/4J8g627uPyZIqYipYg1cKCIKSCMIEFGiMHlNxwWSAIkQAIkQAIkoIlApxKxY1X78Pqhx1BtqkJ0YDymp1yDUdGTNAGzd+P2RCy3JgOHKn4TGmbGwMgzEOkfY2+xmrajiKm4KGINHChiCggjSJARYtB0M+HGJEACJEACJEACLiegi4gVFZYjPiESwUEBLg/YngLz80tRUVGD5ORoBDXEYPKpxae5L2BXyWb4+wTg9JAxOD/pZpGNMMKeIjVv01oMspB8HMfy/E+wo/gnkRwkGpPjrsCoiCmay7dnh7ZisGdfV22Tl1eKykpRF5ZgSogAABk/SURBVCmiLgI9cz0YK4YYwcHxcX/O1EteXomoi1qkpMQgsBPHIMW8qkpwSBUcAjxTFzIGi6UeaelxHqsLZ64l7ksCJEACJEACJOA8AV1E7NiRPEREhCAwyDNfcgqFCFaJL/8JiVGNX3J2m9dhacU8ZR6uOL8umBh4HVIDejlPsI0SWovhSO1v2O7zPQ5X7VTiiPJLwLigOejtP7KNUpxbXFhQpnzhbM7BuRK1780YVGZG4pCYFIUADwlIgbgmq4UEdfoY8svEPTIY3XskNd6jtH+6uAcJkAAJkAAJkIA3E9BFxGS3m9i48MbWKHcDKhBfciorqpHYrEVsbu7DyKo5IlLBB2Fa/LUYGjRZ17AKRKtcpWiVSxIxyOzzO0rWY13pNyj2yVRlMCgJY2OmY0CASE+PEF1iaR5DoIdaJw0RQ0OrXFKyaAHx0I8D+SIG+eNAkgdbo6wxJIsYAjzUIsYY1I+65ODr64Ou3RIoYrrc/VgoCZAACZAACRifgC4iVlFeLbqixSA42HNd0WQMsgtWUEMMy3M/w5bilega2hcXpdyKEL8wXWvHOkYsJikI26vWYGXufBTXFggJA7qF98X4+PMxKHKc0k1Sr0A4RkwlyzFiDRw4RkwBYYTxWUaIQa/7DsslARIgARIgARKwj0CnEbEqc4XoErgLiYFpiA9MsY+OE1tJEcsuycbR4E3YUv49SmuLUS/+6x05GOclXomeYYOcKN2+XSliKieKWAMHipgCwggSZIQY7LuLcCsSIAESIAESIAG9CHQaEdMLYFvlHio4gLU532G/eSMqLbIbkh8GR4/DxPiLkB7Su63dXLqcIqbipIg1cKCIKSCMIEFGiMGlNxsWRgIkQAIkQAIkoJkARUwzMvt2WJX7FVaJ7ohl5iIE+wVjQsLFGB4zAQmBqfYV4IKtKGIqRIpYAweKmALCCBJkhBhccIthESRAAiRAAiRAAk4QoIg5Aa+9XdfnfY9luZ+gur4M05OvxfDoCSJdfVR7u7h8HUVMRUoRa+BAEVNAGEGCjBCDy284LJAESIAESIAESEATAYqYJlz2b5yRl4MTJUeQmBiD1PB0BPkGi51lqg73PShiKmuKWAMHipgCwggSZIQY3Hcn4pFIgARIgARIgARaI3BKiti+vL04VnYQI1PPQHRwbGvnrfsymayjvKIKqamxHkvjTxFTq5ki1sCBIqaAMIIEGSEG3W+CPAAJkAAJkAAJkEC7BE45ESs3leKLE69hV+lmDIs9C7OSb0CEf3S7EPRYaU1fn5IqUuh7aA4viphasxSxBg4UMQWEESTICDHocd9jmSRAAiRAAiRAAvYTOOVEbGH2PPyQtwB1ljr0jOiPa9IfQnRAgv1ENGxZZS7H7vJflA6HAyJGI1DpfqgWQBGzcihBhZjY2pNCShFT68IIX/4Zg3HqQo2E/5IACZAACZAACXiKwCkjYnKOrr3lv2JR1vs4UXkAgSJT4dXpD2BA5Gj4+fi7lK88VkldARblvI8tBSsRERCNSUlzcE7c7MbjUMRUFEZolaOIqXVBCSKHxhsUX5AACZAACZAACXicwCkjYqV1hVgqshRuKlwmWsNMGBg6DrO73oS4oESXQrbUW1BYl4MF2e9ge9F60Rrmg/jgZExJugKjoic1HosipqKgiKkcmmRQjhl07Q8DjRddBy8oYg11wS6aHVwpXE0CJEACJEACJOAOAqeEiJnq6/Bz8Wp8n/MRimryEFYfg+mht2Fk1zEICg5wGUd5nGNV+7Aw6x0cLt8DXx9fRAXGYVTMJJwTfyFC/SIaj0URU1FQxFQOFLEGDpQgBYQRpFitEf5LAiRAAiRAAiTgKQKnhIidqDqAhdnvYm/pVmWc1jC/GRgSOBE90tJcJmJ1llrsLtuM+Vmvo6SmSHR39ENySDecHT8Tw6MmIsA30KYOKWIqDoqYyoEi1sCBIqaAoIip1wP/JQESIAESIIHOTMDrRazaXIm1BQuwLOcTmOvN6Bc5HKN9ZyPKnIqUFJGx0AUtYhXmUpGFcQu+znoDlXUVoiXMD93C+mBS4hwMiBjT6vVDEVOxUMRUDhSxBg4UMQUERUy9HvgvCZAACZAACXRmAl4tYhYhXvsqtuHbzHnIqjqCWDEebFrSNehSOxi1lRaXiFiJqQAbxbizVbnzIaXP3zcAfSOGY3zCBegTNqTNa4cipqKhiKkcKGINHChiCgiKmHo98F8SIAESIAES6MwEvFrEZObC5bmfYX3BYiVpxqi4yZiaeAVMxUGoKK92iYhtKFqChZnvotJUrnQ/HBU7CRMSLkJCYGq71w1FTMVDEVM5UMQaOFDEFBAUMfV64L8kQAIkQAIk0JkJeLWIZVQfwhcZr+GISJzRLbQPZqZcj97hQ5CXV+oyEdtcvALfiZT45noTRsZMxOTEy22ScrR18VDEVDIUMZUDRayBA0VMAUERU68H/ksCJEACJEACnZmAV4tYmalIZEtchWNi3jA5X9jgyHFKq5UrRUwdH7ZJuUYGRI6xS8LkxhQx9WNFEVM5UMQaOFDEFBAUMfV64L8kQAIkQAIk0JkJeLWIyYmVK81l4v9yhPtFIcQvTKlLV4qYoxcHRUwlRxFTOVDEGjhQxBQQFDH1euC/JEACJEACJNCZCXi1iLVVcRQxlYwRJMgIMTRJkMiiGeS6eeXauv5aW94UAyd0rqysQWqXWAQGcmJrT3Jo7TrlMhIgARIgARIgAfcRoIgJ1qWmQpF9cStCfMPQS2RCDPINdroG2CKmIqSIqRwoYg0c2CKmgGCLmHo98F8SIAESIAES6MwEOr2I5ddmYWXel2KesM0I84vA9ORrMDDyDKevCYqYipAipnKgiDVwoIgpIChi6vXAf0mABEiABEigMxPo1CJWICRsUc77+K14M2ot1YgJiscFqTdhaOTZTl8TFDEVIUVM5UARa+BAEVNAUMTU64H/kgAJkAAJkEBnJuBVIra3/BccqNiBM2NnIjogvs1662iMWD0syKg6hM8zXkFG5RElNX2YfwQmJM7GWXGzECy6KDr7oIipBCliKgeKWAMHipgCgiKmXg/8lwRIgARIgAQ6MwGvEbH8miz8Y+8d8PXxxcDo0bgu/eE26609EbPUW3C4chfeP/Z3lNWWiryL9YgPSsHU5CswImqCKN+vzXK1rKCIqbQoYioHilgDB4qYAoIipl4P/JcESIAESIAEOjMBrxAxKU//Png/jlcchJ+PPwbHnOGQiFnqzdhb/is+PP4vVNSVw0f8lxjcBdNSrnZJd8TmFxJFTKVBEVM5UMQaOFDEFBAUMfV64L8kQAIkQAIk0JkJGF7EpIStK1yAb068LToUWhAbmIi7ez2nuWtinaUGqwu+wrLsz1BnqVWErltYX5yXfCX6hA11+TVAEVORUsRUDhSxBg4UMQUERUy9HvgvCZAACZAACXRmAoYXMTmW651jz6CgOhcBvoGYlXo9xsdd2G6dtdY1ca2QufnH31D2k+X0Dh+Mi7rchvjAlHbLcnQlRUwlRxFTOVDEGjhQxBQQFDH1euC/JEACJEACJNCZCRhaxEz1JnyZ+So2F6xSEmp0D++L2097RszzFdJunbUmYqsL5mNx5ofw9w3A6ZHDcWHKrYjwj263HGdWUsRUehQxlQNFrIEDRUwBQRFTrwf+SwIkQAIkQAKdmYChRWx32c/4+NiLKDMVIzwgClem34v+EaM7rK/WRKykrhDL8z5BqH8kJsXPQaALJm1uLxCKmEqHIqZyoIg1cKCIKSAoYur1wH9JgARIgARIoDMT0EXEigrKEJ8YhaCgAIfZVtQX4aOs53Csaj/q6+txZuSFmJ54nV3lFeSXoqKiBknJ0U7FYNfB2tgoP68UlZXGiCFZcAh0oi7aOEW7Fls5eDaGElEXtTBEDCmiLgId/1zYBb2NjaQUV1UJDoaIIUZw8G8jUn0XWzmkpMQgwIMxWCwWpKXHe4yDvpRZOgmQAAmQAAmQQEcEdBGxY0fyEBERIr78O/ZFq1Yk1thmWoZfa5aiqr4c8QFdcH7A/Yj0j+3ofJT1hYXlqBISlCBk0FNf9gwRgxBi+cXboxwYg3pNGohDYlIUAgIc+2za9QFsZ6MCwaFaXJOdPob8MnGPDEb3Hkkeu0e1U01cRQIkQAIkQAIk4AYCuohYnuh+FBsX7nBr1OHK3Vha/B5yzUeVMV2XpNyF3r6jlXTz7TEprMsTEzUfRE2pD6JNXZCekuRwDO0dx551+eKLltIiJr70OtMyaM+x2tqmKQbZMuiZL975onVStkYprZMean2wxqC0iHXmGGQrrWwRky2kHuIguw0rrXKMAb6+vujajS1ibd2/uJwESIAESIAETnUCuohYRXm16P4Ug+Bgx7pgbStdhwWZ76KgJhv9o0biuq5/6jBBR35tFjYULsHOkp/gXxeK8UFXYmj6MAQ5GIOzFc8xYipBjhFTOXCMWAMHjhFTQHCMmHo98F8SIAESIAES6MwEDCliRXW52FK0GiV1BRgeMx7dQ/rB18ev1XqSkzRn1xzFjwWLsaNkA8rqihFoCcHMsLswpuuZFDExVi4lNcZjrXIUMfWypYg1cKCIKSAoYq3ezrmQBEiABEiABDoVAUOKmKyBCnMpZPr6CL+oNiXMVF+HwxW7sCb/axwq34UqcwViAhPQx3csBvqfg95delDEKGJokiDPCWlTDLEe6yZqhC//jEH9+2IEDp3qLx1PlgRIgARIgAQMSMCwItYRK7OQtIMVO7E45wOcqDwIk8WEpOB0jE84Hyk1A4HqIKSmiC+97JrIFjGRLbDSw0JKEVM/0UYQEMbQ0d2V60mABEiABEiABNxBwCtFTLaE7S37FYuy30NO9XFY6i1IDTkNExMvxsDIMSgrMEGOU5PpqSli7JrYJEFsEZMJZFK7xHosWQclSL2tG4GDO/7A8BgkQAIkQAIkQAJtE/A6Eauz1GJD0RKsypmvjCHz8fFB97B+mJR0KXqFDlImam5tQue2Eeizhsk6VK4cI6ZyaJJBdk2kDAIUMX3uuyyVBEiABEiABLyJgFeJmGz52lKyEl+deBPV5kr4+fijb+QQTE+6FinB3ZX3Ej5FTL0EjSBBRoihSYLYIkYJMoYEUcS86c8kYyUBEiABEiABfQh4XMTyajPwU9FSkZDDF6OiJyMxsEubZyrHhX2X+wFWZn8ppMtPSNhQXJJ6p0jQkWgzxxhFTEVoBAkyQgwUMfV6MMKXf8ZgnLpo80bLFSRAAiRAAiRAAm4h4FERq7FUY4NIO79QjPVCPXBh6k04O/78dk+82lKJxULGQn0jMCH+olbnF6OIqQiNIEFGiIEipl4PlCByaPfmypUkQAIkQAIkQAJuJeAxEasX5nW44jd8mfk6MiuPINQ/DBcIERsTM9VpABQxFaERJMgIMVDE1OuBIkYOTt9cWQAJkAAJkAAJkIDLCHhMxOSkzbIl7JfCNco8YePipuO8pCsR7h/l9MlRxFSERpAgI8RAEVOvB4oYOTh9c2UBJEACJEACJEACLiPgERGTY712l23B/479C7VmkU47tDtmJF+L/hGjlROTEzOXmYrhL5JxRAfEtzmhc1sUKGIqGSNIkBFioIip1wNFjBzaumdyOQmQAAmQAAmQgPsJuF3EZJfE3JoMfJ7xCg6W7USYfwTOFpMwnxM3G8F+oSg1FWJz0QpsLFyGiIBoXJX2AOICkwQZH7vpUMRUVEaQICPEQBFTrweKGDnYfRPlhiRAAiRAAiRAAroTcLuI1VpqsL5wMb7JmAs5B1jfiGEiScfNSAxKQ0FNlrJuS+EqlJtKEOAbiLt6PouuoX1tsiJ2RIUiphIyggQZIQaKmHo9UMTIoaN7J9eTAAmQAAmQAAm4j4BbRUzOA3a4cpfSGpZTdUKknU/A1KTLMSpmMjKqD2FN/tf4rWQTaszVCA+IwsCo0ZiVfAPC/CI1EaGIqbiMIEFGiIEipl4PFDFy0HQj5cYkQAIkQAIkQAK6EnCriNWKdPUfnvgXthf9pLR2DYsej1kpv0N29VH8kP8N9pZtRZ2lFrFBSRgVey7Ojp0lui5qT95BEVOvGSNIkBFioIip1wNFjBx0/WvCwkmABEiABEiABDQRcKuIHa7cjdcPPSpkqw4pwV0xWbSG+YqJmX/MX4RDFbtgtpiQGJyGM+OnY0T0RM0tYdYzp4ipJIwgQUaIgSKmXg8UMXKw3iP5TAIkQAIkQAIk4HkCbhWxXSJT4rzDf0WQXwhGxk4UGRET8HPRamRVHVFIdBNjwcYKCRsQMQqhfhEO06GIqeiMIEFGiIEipl4PFDFycPimyh1JgARIgARIgARcTsCtIiYTcGwtWQtTfZ3InVgvWsK+Ewk6suHn668k7Tgn/kJ0D+2HQN9gp06UIqbiM4IEGSEGiph6PVDEyMGpGyt3JgESIAESIAEScCkBt4qYjFxKWJW5HJuKVmJh5jvKWLF+kcNxbsIcpIf0gp+YO8zZB0VMJWgECTJCDBQx9XqgiJGDs/dW7k8CJEACJEACJOA6Am4XMRm6pd4ssiQexk9F3yPCPwZDIscp6etdIWGyfIqYpCA45JagoqIGKakxCAoKUBe6+V8jxEARUyudIkYObv7483AkQAIkQAIkQALtEPCIiMl4zPUmVIqWMSlfIWIiZx/4thOmtlUUMZWXESTICDFQxNTrgSJGDtrupNyaBEiABEiABEhATwIeEzE9T4oiptI1ggQZIQaKmHo9UMTIQc/7LssmARIgARIgARLQRkB3Eau2VCDYN1RE5aMtMie2poip8IwgQUaIgSKmXg8UMXJw4rbKXUmABEiABEiABFxMQDcRK406iuWF/0NW5TGEBYTjj31ecyolvZbzpoiptIwgQUaIgSKmXg8UMXLQch/ltiRAAiRAAiRAAvoS0EXEThQdx2rzOzhRt08k5rCItjAf3NfnBXQN6a3v2TSUThFTQRhBgowQA0VMvR4oYuTQcIvkEwmQAAmQAAmQgAEIuFTE6mHB0bwTWJA9F0fM22DxMSvp6U8L74c7TnvWbadLEVNRG0GCjBADRUy9Hihi5OC2mzAPRAIkQAIkQAIk0CEBl4pYYW0uvs2ai50lm5SsiIG+QRgTPwUXJN8Efx/3pU+niKn1bgQJMkIMFDH1eqCIkUOHfxG4AQmQAAmQAAmQgNsIuFTEdpSux6KsD5BTfVw5gRGxE3BJ6u0iPX24205IHogipuI2ggQZIQaKmHo9UMTIQSXAf0mABEiABEiABIxAwKUitrt8CxZmvovMqiOIDIjB9d0eRvfQ0+Hr47o5wuyBRhFTKRlBgowQA0VMvR4oYuRgz/2T25AACZAACZAACbiHgEtFLKP6EFZkzcfBoj0YFjMeZ8XNFK1hYe45k2ZHyc8rQ2VFNZKSYxAU7N9sjfteNsaQImII6swxlIq6qEGy4BDoMQ4GiCFXxFDpWQ55IoYqGUOqqItAz1yTxoohVnDwc99NodmRJAeLxYK09HiP1UWzcPiSBEiABEiABEjAAwRcKmIy/uNlh7D72D50Cegl0tZHeuCUoHzxr601ITwiGP7+nvmiVSHko84wMYQIDu5tlbRWfIUQ4rpaMyIiQuDn6RgiRQx+HubAGNTrwZMcysU1WSeuSQ/HEBMbjqSkaI99LqyfUT6TAAmQAAmQAAl4hoDLRUyeRrn8oiMkhA8SIAESIIHWCUgR9NQPRa1HxKUkQAIkQAIkQALuJKCLiLnzBHgsEiABEiABEiABEiABEiABEvA2AhQxb6sxxksCJEACJEACJEACJEACJOD1BChiXl+FPAESIAESIAESIAESIAESIAFvI0AR87YaY7wkQAIkQAIkQAIkQAIkQAJeT4Ai5vVVyBMgARIgARIgARIgARIgARLwNgIUMW+rMcZLAiRAAiRAAiRAAiRAAiTg9QQoYl5fhTwBEiABEiABEiABEiABEiABbyNAEfO2GmO8JEACJEACJEACJEACJEACXk+AIub1VcgTIAESIAESIAESIAESIAES8DYCFDFvqzHGSwIkQAIkQAIkQAIkQAIk4PUEKGJeX4U8ARIgARIgARIgARIgARIgAW8jQBHzthpjvCRAAiRAAiRAAiRAAiRAAl5PgCLm9VXIEyABEiABEiABEiABEiABEvA2AhQxb6sxxksCJEACJEACJEACJEACJOD1BChiXl+FPAESIAESIAESIAESIAESIAFvI0AR87YaY7wkQAIkQAIkQAIkQAIkQAJeT4Ai5vVVyBMgARIgARIgARIgARIgARLwNgIUMW+rMcZLAiRAAiRAAiRAAiRAAiTg9QQoYl5fhTwBEiABEiABEiABEiABEiABbyNAEfO2GmO8JEACJEACJEACJEACJEACXk+AIub1VcgTIAESIAESIAESIAESIAES8DYCFDFvqzHGSwIkQAIkQAIkQAIkQAIk4PUEKGJeX4U8ARIgARIgARIgARIgARIgAW8jQBHzthpjvCRAAiRAAiRAAiRAAiRAAl5PgCLm9VXIEyABEiABEiABEiABEiABEvA2AhQxb6sxxksCJEACJEACJEACJEACJOD1BChiXl+FPAESIAESIAESIAESIAESIAFvI0AR87YaY7wkQAIkQAIkQAIkQAIkQAJeT+D/AcOwtWnmBLw2AAAAAElFTkSuQmCC)" + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "metadata": { + "height": 64 + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "0.053587\n" + ] + } + ], + "source": [ + "# Cosine Distance\n", + "cosine = 1 - np.dot(zero_A,zero_B)/(np.linalg.norm(zero_A)*np.linalg.norm(zero_B))\n", + "print(f\"{cosine:.6f}\")" + ] + }, + { + "cell_type": "code", + "execution_count": 32, + "metadata": { + "height": 30 + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([1.5879036 , 0.81257665], dtype=float32)" + ] + }, + "execution_count": 32, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "zero_A/zero_B" + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "metadata": { + "height": 81 + }, + "outputs": [], + "source": [ + "# Cosine Distance function\n", + "def cosine_distance(vec1,vec2):\n", + " cosine = 1 - (np.dot(vec1, vec2)/(np.linalg.norm(vec1)*np.linalg.norm(vec2)))\n", + " return cosine" + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "metadata": { + "height": 81 + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Distance zeroA-zeroB: 0.053587\n", + "Distance zeroA-one: 1.679075\n", + "Distance zeroB-one: 1.405612\n" + ] + } + ], + "source": [ + "#Cosine Distance\n", + "print(f\"Distance zeroA-zeroB: {cosine_distance(zero_A, zero_B): .6f}\")\n", + "print(f\"Distance zeroA-one: {cosine_distance(zero_A, one): .6f}\")\n", + "print(f\"Distance zeroB-one: {cosine_distance(zero_B, one): .6f}\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Now with the sentence embeddings!\n", + "\n", + "Dot Product and Cosine Distance are commonly used in the field of NLP, to evaluate how similar two sentence embeddings are.\n", + "So here we will only use those two.\n", + "\n", + "- embedding0 - 'The team enjoyed the hike through the meadow'\n", + "\n", + "- embedding1 - The national park had great views'\n", + "\n", + "- embedding2 - 'Olive oil drizzled over pizza tastes delicious'" + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "metadata": { + "height": 81 + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Distance 0-1: 26.49789\n", + "Distance 0-2: 2.0785775\n", + "Distance 1-2: 4.0192113\n" + ] + } + ], + "source": [ + "#Dot Product\n", + "print(\"Distance 0-1:\", np.dot(embedding[0], embedding[1]))\n", + "print(\"Distance 0-2:\", np.dot(embedding[0], embedding[2]))\n", + "print(\"Distance 1-2:\", np.dot(embedding[1], embedding[2]))" + ] + }, + { + "cell_type": "code", + "execution_count": 36, + "metadata": { + "height": 81 + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Distance 0-1: 0.5350335538387299\n", + "Distance 0-2: 0.9639393128454685\n", + "Distance 1-2: 0.9288790971040726\n" + ] + } + ], + "source": [ + "#Cosine Distance\n", + "print(\"Distance 0-1: \", cosine_distance(embedding[0], embedding[1]))\n", + "print(\"Distance 0-2: \", cosine_distance(embedding[0], embedding[2]))\n", + "print(\"Distance 1-2: \", cosine_distance(embedding[1], embedding[2]))" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "height": 30 + }, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "height": 30 + }, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "height": 30 + }, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "height": 30 + }, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "height": 30 + }, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "height": 30 + }, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "height": 30 + }, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "height": 30 + }, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "height": 30 + }, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "height": 30 + }, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "height": 30 + }, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "height": 30 + }, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "height": 30 + }, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "height": 30 + }, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "height": 30 + }, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "height": 30 + }, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "height": 30 + }, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "height": 30 + }, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "height": 30 + }, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "height": 30 + }, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "height": 30 + }, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "height": 30 + }, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "height": 30 + }, + "outputs": [], + "source": [] + } + ], + "metadata": { + "colab": { + "provenance": [] + }, + "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": "3.9.18" + }, + "widgets": { + "application/vnd.jupyter.widget-state+json": { + "025457fc6048400dbf847c0c5cb78464": { + "model_module": "@jupyter-widgets/controls", + "model_module_version": "1.5.0", + "model_name": "HTMLModel", + "state": { + "_dom_classes": [], + "_model_module": "@jupyter-widgets/controls", + "_model_module_version": "1.5.0", + "_model_name": "HTMLModel", + "_view_count": null, + "_view_module": "@jupyter-widgets/controls", + "_view_module_version": "1.5.0", + "_view_name": "HTMLView", + "description": "", + "description_tooltip": null, + "layout": "IPY_MODEL_7f6c34e3dbf745ebbf17359601d709d6", + "placeholder": "​", + "style": "IPY_MODEL_c763f1d1f248475c8af0129d79e791fe", + "value": "Downloading (…)b8001fa/modules.json: 100%" + } + }, + "0335fd912a07400097bfb8098de5f1eb": { + "model_module": "@jupyter-widgets/controls", + "model_module_version": "1.5.0", + "model_name": "FloatProgressModel", + "state": { + "_dom_classes": [], + "_model_module": "@jupyter-widgets/controls", + "_model_module_version": "1.5.0", + "_model_name": "FloatProgressModel", + "_view_count": null, + "_view_module": "@jupyter-widgets/controls", + "_view_module_version": "1.5.0", + "_view_name": "ProgressView", + "bar_style": "success", + "description": "", + "description_tooltip": null, + "layout": "IPY_MODEL_fc9da1463a964359b5cda6a879aeb786", + "max": 112, + "min": 0, + "orientation": "horizontal", + "style": "IPY_MODEL_21a27860f12e43e0b5ba3a1e6cb6fe92", + "value": 112 + } + }, + "03b3c8c38dfd49ed809367fa41423daa": { + "model_module": "@jupyter-widgets/base", + "model_module_version": "1.2.0", + "model_name": "LayoutModel", + "state": { + "_model_module": "@jupyter-widgets/base", + "_model_module_version": "1.2.0", + "_model_name": "LayoutModel", + "_view_count": null, + "_view_module": "@jupyter-widgets/base", + "_view_module_version": "1.2.0", + "_view_name": "LayoutView", + "align_content": null, + "align_items": null, + "align_self": null, + "border": null, + "bottom": null, + "display": null, + "flex": null, + "flex_flow": null, + "grid_area": null, + "grid_auto_columns": null, + "grid_auto_flow": null, + "grid_auto_rows": null, + "grid_column": null, + "grid_gap": null, + "grid_row": null, + "grid_template_areas": null, + "grid_template_columns": null, + "grid_template_rows": null, + "height": null, + "justify_content": null, + "justify_items": null, + "left": null, + "margin": null, + "max_height": null, + "max_width": null, + "min_height": null, + "min_width": null, + "object_fit": null, + "object_position": null, + "order": null, + "overflow": null, + "overflow_x": null, + "overflow_y": null, + "padding": null, + "right": null, + "top": null, + "visibility": null, + "width": null + } + }, + "0934184aed664b8eb41671e2dce592f5": { + "model_module": "@jupyter-widgets/base", + "model_module_version": "1.2.0", + "model_name": "LayoutModel", + "state": { + "_model_module": "@jupyter-widgets/base", + "_model_module_version": "1.2.0", + "_model_name": "LayoutModel", + "_view_count": null, + "_view_module": "@jupyter-widgets/base", + "_view_module_version": "1.2.0", + "_view_name": "LayoutView", + "align_content": null, + "align_items": null, + "align_self": null, + "border": null, + "bottom": null, + "display": null, + "flex": null, + "flex_flow": null, + "grid_area": null, + "grid_auto_columns": null, + "grid_auto_flow": null, + "grid_auto_rows": null, + "grid_column": null, + "grid_gap": null, + "grid_row": null, + "grid_template_areas": null, + "grid_template_columns": null, + "grid_template_rows": null, + "height": null, + "justify_content": null, + "justify_items": null, + "left": null, + "margin": null, + "max_height": null, + "max_width": null, + "min_height": null, + "min_width": null, + "object_fit": null, + "object_position": null, + "order": null, + "overflow": null, + "overflow_x": null, + "overflow_y": null, + "padding": null, + "right": null, + "top": null, + "visibility": null, + "width": null + } + }, + "0a2f7dfd976f43698b46d2ee4f930594": { + "model_module": "@jupyter-widgets/controls", + "model_module_version": "1.5.0", + "model_name": "HBoxModel", + "state": { + "_dom_classes": [], + "_model_module": "@jupyter-widgets/controls", + "_model_module_version": "1.5.0", + "_model_name": "HBoxModel", + "_view_count": null, + "_view_module": "@jupyter-widgets/controls", + "_view_module_version": "1.5.0", + "_view_name": "HBoxView", + "box_style": "", + "children": [ + "IPY_MODEL_e5260e7642524d679a35589530b6692a", + "IPY_MODEL_a02d426e0b984945b86920373e68f95d", + "IPY_MODEL_5fc8041cfba2464ab53b8d641115ab49" + ], + "layout": "IPY_MODEL_5b0a3262132e412786b2e1769cf9e680" + } + }, + "0bec1953959a4ea9a9eba9c458a39470": { + "model_module": "@jupyter-widgets/controls", + "model_module_version": "1.5.0", + "model_name": "HBoxModel", + "state": { + "_dom_classes": [], + "_model_module": "@jupyter-widgets/controls", + "_model_module_version": "1.5.0", + "_model_name": "HBoxModel", + "_view_count": null, + "_view_module": "@jupyter-widgets/controls", + "_view_module_version": "1.5.0", + "_view_name": "HBoxView", + "box_style": "", + "children": [ + "IPY_MODEL_98a59b9993d841bcabe3540b9abe5405", + "IPY_MODEL_944c663134a7461b9c2daf03a0ee0037", + "IPY_MODEL_4ababab62e5247819a786480a4fe4a83" + ], + "layout": "IPY_MODEL_b6f87f17da4a41cc8142278b09d77f3c" + } + }, + "0beddc365b094536a7367c8a7f7cc54f": { + "model_module": "@jupyter-widgets/base", + "model_module_version": "1.2.0", + "model_name": "LayoutModel", + "state": { + "_model_module": "@jupyter-widgets/base", + "_model_module_version": "1.2.0", + "_model_name": "LayoutModel", + "_view_count": null, + "_view_module": "@jupyter-widgets/base", + "_view_module_version": "1.2.0", + "_view_name": "LayoutView", + "align_content": null, + "align_items": null, + "align_self": null, + "border": null, + "bottom": null, + "display": null, + "flex": null, + "flex_flow": null, + "grid_area": null, + "grid_auto_columns": null, + "grid_auto_flow": null, + "grid_auto_rows": null, + "grid_column": null, + "grid_gap": null, + "grid_row": null, + "grid_template_areas": null, + "grid_template_columns": null, + "grid_template_rows": null, + "height": null, + "justify_content": null, + "justify_items": null, + "left": null, + "margin": null, + "max_height": null, + "max_width": null, + "min_height": null, + "min_width": null, + "object_fit": null, + "object_position": null, + "order": null, + "overflow": null, + "overflow_x": null, + "overflow_y": null, + "padding": null, + "right": null, + "top": null, + "visibility": null, + "width": null + } + }, + "0d08be47053e45bcaae7602715569d3b": { + "model_module": "@jupyter-widgets/controls", + "model_module_version": "1.5.0", + "model_name": "DescriptionStyleModel", + "state": { + "_model_module": "@jupyter-widgets/controls", + "_model_module_version": "1.5.0", + "_model_name": "DescriptionStyleModel", + "_view_count": null, + "_view_module": "@jupyter-widgets/base", + "_view_module_version": "1.2.0", + "_view_name": "StyleView", + "description_width": "" + } + }, + "13529256a79d46fbbbfaf494609327e0": { + "model_module": "@jupyter-widgets/base", + "model_module_version": "1.2.0", + "model_name": "LayoutModel", + "state": { + "_model_module": "@jupyter-widgets/base", + "_model_module_version": "1.2.0", + "_model_name": "LayoutModel", + "_view_count": null, + "_view_module": "@jupyter-widgets/base", + "_view_module_version": "1.2.0", + "_view_name": "LayoutView", + "align_content": null, + "align_items": null, + "align_self": null, + "border": null, + "bottom": null, + "display": null, + "flex": null, + "flex_flow": null, + "grid_area": null, + "grid_auto_columns": null, + "grid_auto_flow": null, + "grid_auto_rows": null, + "grid_column": null, + "grid_gap": null, + "grid_row": null, + "grid_template_areas": null, + "grid_template_columns": null, + "grid_template_rows": null, + "height": null, + "justify_content": null, + "justify_items": null, + "left": null, + "margin": null, + "max_height": null, + "max_width": null, + "min_height": null, + "min_width": null, + "object_fit": null, + "object_position": null, + "order": null, + "overflow": null, + "overflow_x": null, + "overflow_y": null, + "padding": null, + "right": null, + "top": null, + "visibility": null, + "width": null + } + }, + "1666dd8928524b158c061e3822aaf9c8": { + "model_module": "@jupyter-widgets/controls", + "model_module_version": "1.5.0", + "model_name": "FloatProgressModel", + "state": { + "_dom_classes": [], + "_model_module": "@jupyter-widgets/controls", + "_model_module_version": "1.5.0", + "_model_name": "FloatProgressModel", + "_view_count": null, + "_view_module": "@jupyter-widgets/controls", + "_view_module_version": "1.5.0", + "_view_name": "ProgressView", + "bar_style": "success", + "description": "", + "description_tooltip": null, + "layout": "IPY_MODEL_03b3c8c38dfd49ed809367fa41423daa", + "max": 231508, + "min": 0, + "orientation": "horizontal", + "style": "IPY_MODEL_46671751cccc431397c37e30c29d294c", + "value": 231508 + } + }, + "1760bbe283b84afbb98f35e752d36d90": { + "model_module": "@jupyter-widgets/base", + "model_module_version": "1.2.0", + "model_name": "LayoutModel", + "state": { + "_model_module": "@jupyter-widgets/base", + "_model_module_version": "1.2.0", + "_model_name": "LayoutModel", + "_view_count": null, + "_view_module": "@jupyter-widgets/base", + "_view_module_version": "1.2.0", + "_view_name": "LayoutView", + "align_content": null, + "align_items": null, + "align_self": null, + "border": null, + "bottom": null, + "display": null, + "flex": null, + "flex_flow": null, + "grid_area": null, + "grid_auto_columns": null, + "grid_auto_flow": null, + "grid_auto_rows": null, + "grid_column": null, + "grid_gap": null, + "grid_row": null, + "grid_template_areas": null, + "grid_template_columns": null, + "grid_template_rows": null, + "height": null, + "justify_content": null, + "justify_items": null, + "left": null, + "margin": null, + "max_height": null, + "max_width": null, + "min_height": null, + "min_width": null, + "object_fit": null, + "object_position": null, + "order": null, + "overflow": null, + "overflow_x": null, + "overflow_y": null, + "padding": null, + "right": null, + "top": null, + "visibility": null, + "width": null + } + }, + "176fe1b57660495aae1d7f75dbadbb84": { + "model_module": "@jupyter-widgets/controls", + "model_module_version": "1.5.0", + "model_name": "DescriptionStyleModel", + "state": { + "_model_module": "@jupyter-widgets/controls", + "_model_module_version": "1.5.0", + "_model_name": "DescriptionStyleModel", + "_view_count": null, + "_view_module": "@jupyter-widgets/base", + "_view_module_version": "1.2.0", + "_view_name": "StyleView", + "description_width": "" + } + }, + "194fdda5872b49d78a5dca8a816cfbbb": { + "model_module": "@jupyter-widgets/controls", + "model_module_version": "1.5.0", + "model_name": "ProgressStyleModel", + "state": { + "_model_module": "@jupyter-widgets/controls", + "_model_module_version": "1.5.0", + "_model_name": "ProgressStyleModel", + "_view_count": null, + "_view_module": "@jupyter-widgets/base", + "_view_module_version": "1.2.0", + "_view_name": "StyleView", + "bar_color": null, + "description_width": "" + } + }, + "1c7846400b9643de962953546fd01548": { + "model_module": "@jupyter-widgets/controls", + "model_module_version": "1.5.0", + "model_name": "ProgressStyleModel", + "state": { + "_model_module": "@jupyter-widgets/controls", + "_model_module_version": "1.5.0", + "_model_name": "ProgressStyleModel", + "_view_count": null, + "_view_module": "@jupyter-widgets/base", + "_view_module_version": "1.2.0", + "_view_name": "StyleView", + "bar_color": null, + "description_width": "" + } + }, + "1ee25e0c706b47dfab7671f36c9e3ea0": { + "model_module": "@jupyter-widgets/controls", + "model_module_version": "1.5.0", + "model_name": "DescriptionStyleModel", + "state": { + "_model_module": "@jupyter-widgets/controls", + "_model_module_version": "1.5.0", + "_model_name": "DescriptionStyleModel", + "_view_count": null, + "_view_module": "@jupyter-widgets/base", + "_view_module_version": "1.2.0", + "_view_name": "StyleView", + "description_width": "" + } + }, + "1f44d5f8dfc94d0cbc15c6d03f63461f": { + "model_module": "@jupyter-widgets/controls", + "model_module_version": "1.5.0", + "model_name": "FloatProgressModel", + "state": { + "_dom_classes": [], + "_model_module": "@jupyter-widgets/controls", + "_model_module_version": "1.5.0", + "_model_name": "FloatProgressModel", + "_view_count": null, + "_view_module": "@jupyter-widgets/controls", + "_view_module_version": "1.5.0", + "_view_name": "ProgressView", + "bar_style": "success", + "description": "", + "description_tooltip": null, + "layout": "IPY_MODEL_9679a45fdcf04656a8c81f2be9747fa1", + "max": 122, + "min": 0, + "orientation": "horizontal", + "style": "IPY_MODEL_1c7846400b9643de962953546fd01548", + "value": 122 + } + }, + "21553ec74baf4388bd6b14b17372676e": { + "model_module": "@jupyter-widgets/base", + "model_module_version": "1.2.0", + "model_name": "LayoutModel", + "state": { + "_model_module": "@jupyter-widgets/base", + "_model_module_version": "1.2.0", + "_model_name": "LayoutModel", + "_view_count": null, + "_view_module": "@jupyter-widgets/base", + "_view_module_version": "1.2.0", + "_view_name": "LayoutView", + "align_content": null, + "align_items": null, + "align_self": null, + "border": null, + "bottom": null, + "display": null, + "flex": null, + "flex_flow": null, + "grid_area": null, + "grid_auto_columns": null, + "grid_auto_flow": null, + "grid_auto_rows": null, + "grid_column": null, + "grid_gap": null, + "grid_row": null, + "grid_template_areas": null, + "grid_template_columns": null, + "grid_template_rows": null, + "height": null, + "justify_content": null, + "justify_items": null, + "left": null, + "margin": null, + "max_height": null, + "max_width": null, + "min_height": null, + "min_width": null, + "object_fit": null, + "object_position": null, + "order": null, + "overflow": null, + "overflow_x": null, + "overflow_y": null, + "padding": null, + "right": null, + "top": null, + "visibility": null, + "width": null + } + }, + "21a27860f12e43e0b5ba3a1e6cb6fe92": { + "model_module": "@jupyter-widgets/controls", + "model_module_version": "1.5.0", + "model_name": "ProgressStyleModel", + "state": { + "_model_module": "@jupyter-widgets/controls", + "_model_module_version": "1.5.0", + "_model_name": "ProgressStyleModel", + "_view_count": null, + "_view_module": "@jupyter-widgets/base", + "_view_module_version": "1.2.0", + "_view_name": "StyleView", + "bar_color": null, + "description_width": "" + } + }, + "22759a76c2074086b18a845a1cae43be": { + "model_module": "@jupyter-widgets/controls", + "model_module_version": "1.5.0", + "model_name": "DescriptionStyleModel", + "state": { + "_model_module": "@jupyter-widgets/controls", + "_model_module_version": "1.5.0", + "_model_name": "DescriptionStyleModel", + "_view_count": null, + "_view_module": "@jupyter-widgets/base", + "_view_module_version": "1.2.0", + "_view_name": "StyleView", + "description_width": "" + } + }, + "24bccd99ce094a9ca9f73aa1ef0d4a1b": { + "model_module": "@jupyter-widgets/controls", + "model_module_version": "1.5.0", + "model_name": "DescriptionStyleModel", + "state": { + "_model_module": "@jupyter-widgets/controls", + "_model_module_version": "1.5.0", + "_model_name": "DescriptionStyleModel", + "_view_count": null, + "_view_module": "@jupyter-widgets/base", + "_view_module_version": "1.2.0", + "_view_name": "StyleView", + "description_width": "" + } + }, + "287d369ea3cc488da2c7b9fd41a765b9": { + "model_module": "@jupyter-widgets/controls", + "model_module_version": "1.5.0", + "model_name": "ProgressStyleModel", + "state": { + "_model_module": "@jupyter-widgets/controls", + "_model_module_version": "1.5.0", + "_model_name": "ProgressStyleModel", + "_view_count": null, + "_view_module": "@jupyter-widgets/base", + "_view_module_version": "1.2.0", + "_view_name": "StyleView", + "bar_color": null, + "description_width": "" + } + }, + "2a255c3cdec34b0b9b590ed05f9ac18b": { + "model_module": "@jupyter-widgets/controls", + "model_module_version": "1.5.0", + "model_name": "DescriptionStyleModel", + "state": { + "_model_module": "@jupyter-widgets/controls", + "_model_module_version": "1.5.0", + "_model_name": "DescriptionStyleModel", + "_view_count": null, + "_view_module": "@jupyter-widgets/base", + "_view_module_version": "1.2.0", + "_view_name": "StyleView", + "description_width": "" + } + }, + "2ba3cc1d6cb14bb5926548dc8139fecd": { + "model_module": "@jupyter-widgets/controls", + "model_module_version": "1.5.0", + "model_name": "DescriptionStyleModel", + "state": { + "_model_module": "@jupyter-widgets/controls", + "_model_module_version": "1.5.0", + "_model_name": "DescriptionStyleModel", + "_view_count": null, + "_view_module": "@jupyter-widgets/base", + "_view_module_version": "1.2.0", + "_view_name": "StyleView", + "description_width": "" + } + }, + "2bcba1e8250a4753a786f7e3bb91359b": { + "model_module": "@jupyter-widgets/controls", + "model_module_version": "1.5.0", + "model_name": "FloatProgressModel", + "state": { + "_dom_classes": [], + "_model_module": "@jupyter-widgets/controls", + "_model_module_version": "1.5.0", + "_model_name": "FloatProgressModel", + "_view_count": null, + "_view_module": "@jupyter-widgets/controls", + "_view_module_version": "1.5.0", + "_view_name": "ProgressView", + "bar_style": "success", + "description": "", + "description_tooltip": null, + "layout": "IPY_MODEL_5db5931da6164e45ad410bd5245dd5d7", + "max": 629, + "min": 0, + "orientation": "horizontal", + "style": "IPY_MODEL_738a32021fbe4e13937a59cc60eddfed", + "value": 629 + } + }, + "33a82c2feb9b429d925bdb6b0a4b64f3": { + "model_module": "@jupyter-widgets/controls", + "model_module_version": "1.5.0", + "model_name": "FloatProgressModel", + "state": { + "_dom_classes": [], + "_model_module": "@jupyter-widgets/controls", + "_model_module_version": "1.5.0", + "_model_name": "FloatProgressModel", + "_view_count": null, + "_view_module": "@jupyter-widgets/controls", + "_view_module_version": "1.5.0", + "_view_name": "ProgressView", + "bar_style": "success", + "description": "", + "description_tooltip": null, + "layout": "IPY_MODEL_a75a921780b5435f880324f819827709", + "max": 229, + "min": 0, + "orientation": "horizontal", + "style": "IPY_MODEL_7fc51864cff749ee965d969065317463", + "value": 229 + } + }, + "358407e69316455bac3d3242d61c4c0c": { + "model_module": "@jupyter-widgets/controls", + "model_module_version": "1.5.0", + "model_name": "HTMLModel", + "state": { + "_dom_classes": [], + "_model_module": "@jupyter-widgets/controls", + "_model_module_version": "1.5.0", + "_model_name": "HTMLModel", + "_view_count": null, + "_view_module": "@jupyter-widgets/controls", + "_view_module_version": "1.5.0", + "_view_name": "HTMLView", + "description": "", + "description_tooltip": null, + "layout": "IPY_MODEL_1760bbe283b84afbb98f35e752d36d90", + "placeholder": "​", + "style": "IPY_MODEL_56e28c32682f42429e9d4024810d187d", + "value": "Downloading (…)okenizer_config.json: 100%" + } + }, + "38fbfee4bf444fd8a446f318c3335309": { + "model_module": "@jupyter-widgets/base", + "model_module_version": "1.2.0", + "model_name": "LayoutModel", + "state": { + "_model_module": "@jupyter-widgets/base", + "_model_module_version": "1.2.0", + "_model_name": "LayoutModel", + "_view_count": null, + "_view_module": "@jupyter-widgets/base", + "_view_module_version": "1.2.0", + "_view_name": "LayoutView", + "align_content": null, + "align_items": null, + "align_self": null, + "border": null, + "bottom": null, + "display": null, + "flex": null, + "flex_flow": null, + "grid_area": null, + "grid_auto_columns": null, + "grid_auto_flow": null, + "grid_auto_rows": null, + "grid_column": null, + "grid_gap": null, + "grid_row": null, + "grid_template_areas": null, + "grid_template_columns": null, + "grid_template_rows": null, + "height": null, + "justify_content": null, + "justify_items": null, + "left": null, + "margin": null, + "max_height": null, + "max_width": null, + "min_height": null, + "min_width": null, + "object_fit": null, + "object_position": null, + "order": null, + "overflow": null, + "overflow_x": null, + "overflow_y": null, + "padding": null, + "right": null, + "top": null, + "visibility": null, + "width": null + } + }, + "39d231e7425b40b3ac8c411332898387": { + "model_module": "@jupyter-widgets/controls", + "model_module_version": "1.5.0", + "model_name": "FloatProgressModel", + "state": { + "_dom_classes": [], + "_model_module": "@jupyter-widgets/controls", + "_model_module_version": "1.5.0", + "_model_name": "FloatProgressModel", + "_view_count": null, + "_view_module": "@jupyter-widgets/controls", + "_view_module_version": "1.5.0", + "_view_name": "ProgressView", + "bar_style": "success", + "description": "", + "description_tooltip": null, + "layout": "IPY_MODEL_c49511b787b1495ab8b8e53d50b12137", + "max": 90895153, + "min": 0, + "orientation": "horizontal", + "style": "IPY_MODEL_194fdda5872b49d78a5dca8a816cfbbb", + "value": 90895153 + } + }, + "3a7ae5bb58124a2d99b6d166979cbb4b": { + "model_module": "@jupyter-widgets/controls", + "model_module_version": "1.5.0", + "model_name": "DescriptionStyleModel", + "state": { + "_model_module": "@jupyter-widgets/controls", + "_model_module_version": "1.5.0", + "_model_name": "DescriptionStyleModel", + "_view_count": null, + "_view_module": "@jupyter-widgets/base", + "_view_module_version": "1.2.0", + "_view_name": "StyleView", + "description_width": "" + } + }, + "3b58f4d5f7d24032b34dda78d6640bb4": { + "model_module": "@jupyter-widgets/controls", + "model_module_version": "1.5.0", + "model_name": "FloatProgressModel", + "state": { + "_dom_classes": [], + "_model_module": "@jupyter-widgets/controls", + "_model_module_version": "1.5.0", + "_model_name": "FloatProgressModel", + "_view_count": null, + "_view_module": "@jupyter-widgets/controls", + "_view_module_version": "1.5.0", + "_view_name": "ProgressView", + "bar_style": "success", + "description": "", + "description_tooltip": null, + "layout": "IPY_MODEL_de598a810ed348f3b99703ee2df5d7ab", + "max": 190, + "min": 0, + "orientation": "horizontal", + "style": "IPY_MODEL_fe186d2eacf045ff91db878847d121e7", + "value": 190 + } + }, + "42556bbd87d54405864ae6632fe1a7d0": { + "model_module": "@jupyter-widgets/controls", + "model_module_version": "1.5.0", + "model_name": "HBoxModel", + "state": { + "_dom_classes": [], + "_model_module": "@jupyter-widgets/controls", + "_model_module_version": "1.5.0", + "_model_name": "HBoxModel", + "_view_count": null, + "_view_module": "@jupyter-widgets/controls", + "_view_module_version": "1.5.0", + "_view_name": "HBoxView", + "box_style": "", + "children": [ + "IPY_MODEL_9684c496dbf44102b2859fa9f2065937", + "IPY_MODEL_1666dd8928524b158c061e3822aaf9c8", + "IPY_MODEL_e33aaab8459b49798d7a7693c8380fcf" + ], + "layout": "IPY_MODEL_38fbfee4bf444fd8a446f318c3335309" + } + }, + "431147d89adc4e738f7bd96f8edaed64": { + "model_module": "@jupyter-widgets/controls", + "model_module_version": "1.5.0", + "model_name": "DescriptionStyleModel", + "state": { + "_model_module": "@jupyter-widgets/controls", + "_model_module_version": "1.5.0", + "_model_name": "DescriptionStyleModel", + "_view_count": null, + "_view_module": "@jupyter-widgets/base", + "_view_module_version": "1.2.0", + "_view_name": "StyleView", + "description_width": "" + } + }, + "438ae0dc98fc49fe9622f2ca6bcd7d60": { + "model_module": "@jupyter-widgets/base", + "model_module_version": "1.2.0", + "model_name": "LayoutModel", + "state": { + "_model_module": "@jupyter-widgets/base", + "_model_module_version": "1.2.0", + "_model_name": "LayoutModel", + "_view_count": null, + "_view_module": "@jupyter-widgets/base", + "_view_module_version": "1.2.0", + "_view_name": "LayoutView", + "align_content": null, + "align_items": null, + "align_self": null, + "border": null, + "bottom": null, + "display": null, + "flex": null, + "flex_flow": null, + "grid_area": null, + "grid_auto_columns": null, + "grid_auto_flow": null, + "grid_auto_rows": null, + "grid_column": null, + "grid_gap": null, + "grid_row": null, + "grid_template_areas": null, + "grid_template_columns": null, + "grid_template_rows": null, + "height": null, + "justify_content": null, + "justify_items": null, + "left": null, + "margin": null, + "max_height": null, + "max_width": null, + "min_height": null, + "min_width": null, + "object_fit": null, + "object_position": null, + "order": null, + "overflow": null, + "overflow_x": null, + "overflow_y": null, + "padding": null, + "right": null, + "top": null, + "visibility": null, + "width": null + } + }, + "46671751cccc431397c37e30c29d294c": { + "model_module": "@jupyter-widgets/controls", + "model_module_version": "1.5.0", + "model_name": "ProgressStyleModel", + "state": { + "_model_module": "@jupyter-widgets/controls", + "_model_module_version": "1.5.0", + "_model_name": "ProgressStyleModel", + "_view_count": null, + "_view_module": "@jupyter-widgets/base", + "_view_module_version": "1.2.0", + "_view_name": "StyleView", + "bar_color": null, + "description_width": "" + } + }, + "47afc71eaf1c4e999205a736573557b5": { + "model_module": "@jupyter-widgets/controls", + "model_module_version": "1.5.0", + "model_name": "DescriptionStyleModel", + "state": { + "_model_module": "@jupyter-widgets/controls", + "_model_module_version": "1.5.0", + "_model_name": "DescriptionStyleModel", + "_view_count": null, + "_view_module": "@jupyter-widgets/base", + "_view_module_version": "1.2.0", + "_view_name": "StyleView", + "description_width": "" + } + }, + "4ababab62e5247819a786480a4fe4a83": { + "model_module": "@jupyter-widgets/controls", + "model_module_version": "1.5.0", + "model_name": "HTMLModel", + "state": { + "_dom_classes": [], + "_model_module": "@jupyter-widgets/controls", + "_model_module_version": "1.5.0", + "_model_name": "HTMLModel", + "_view_count": null, + "_view_module": "@jupyter-widgets/controls", + "_view_module_version": "1.5.0", + "_view_name": "HTMLView", + "description": "", + "description_tooltip": null, + "layout": "IPY_MODEL_f5607a8cd6064471bd6ee228e15dfb26", + "placeholder": "​", + "style": "IPY_MODEL_3a7ae5bb58124a2d99b6d166979cbb4b", + "value": " 690/690 [00:00<00:00, 31.7kB/s]" + } + }, + "4bfd6a4026ce490a94ca0b033d1669dd": { + "model_module": "@jupyter-widgets/base", + "model_module_version": "1.2.0", + "model_name": "LayoutModel", + "state": { + "_model_module": "@jupyter-widgets/base", + "_model_module_version": "1.2.0", + "_model_name": "LayoutModel", + "_view_count": null, + "_view_module": "@jupyter-widgets/base", + "_view_module_version": "1.2.0", + "_view_name": "LayoutView", + "align_content": null, + "align_items": null, + "align_self": null, + "border": null, + "bottom": null, + "display": null, + "flex": null, + "flex_flow": null, + "grid_area": null, + "grid_auto_columns": null, + "grid_auto_flow": null, + "grid_auto_rows": null, + "grid_column": null, + "grid_gap": null, + "grid_row": null, + "grid_template_areas": null, + "grid_template_columns": null, + "grid_template_rows": null, + "height": null, + "justify_content": null, + "justify_items": null, + "left": null, + "margin": null, + "max_height": null, + "max_width": null, + "min_height": null, + "min_width": null, + "object_fit": null, + "object_position": null, + "order": null, + "overflow": null, + "overflow_x": null, + "overflow_y": null, + "padding": null, + "right": null, + "top": null, + "visibility": null, + "width": null + } + }, + "50f98368a40042aa9c7ca357c30bd978": { + "model_module": "@jupyter-widgets/controls", + "model_module_version": "1.5.0", + "model_name": "HBoxModel", + "state": { + "_dom_classes": [], + "_model_module": "@jupyter-widgets/controls", + "_model_module_version": "1.5.0", + "_model_name": "HBoxModel", + "_view_count": null, + "_view_module": "@jupyter-widgets/controls", + "_view_module_version": "1.5.0", + "_view_name": "HBoxView", + "box_style": "", + "children": [ + "IPY_MODEL_8afb3e622b6e4bbfa38f94055e092d34", + "IPY_MODEL_39d231e7425b40b3ac8c411332898387", + "IPY_MODEL_61962094327743c0aac444acd819eb87" + ], + "layout": "IPY_MODEL_599951b5e51a4e6986b793515f425046" + } + }, + "535fe64ce36d4eadbb028cb75cd330be": { + "model_module": "@jupyter-widgets/controls", + "model_module_version": "1.5.0", + "model_name": "HBoxModel", + "state": { + "_dom_classes": [], + "_model_module": "@jupyter-widgets/controls", + "_model_module_version": "1.5.0", + "_model_name": "HBoxModel", + "_view_count": null, + "_view_module": "@jupyter-widgets/controls", + "_view_module_version": "1.5.0", + "_view_name": "HBoxView", + "box_style": "", + "children": [ + "IPY_MODEL_eaeed180a0c047d2ac9c42e43b5e6d56", + "IPY_MODEL_3b58f4d5f7d24032b34dda78d6640bb4", + "IPY_MODEL_902f8619c4794f11b4d9e089d985505e" + ], + "layout": "IPY_MODEL_b6129556a88e446f86e3157ab1ea581f" + } + }, + "538d5841b24444ed87376ee45d3ef9c3": { + "model_module": "@jupyter-widgets/controls", + "model_module_version": "1.5.0", + "model_name": "DescriptionStyleModel", + "state": { + "_model_module": "@jupyter-widgets/controls", + "_model_module_version": "1.5.0", + "_model_name": "DescriptionStyleModel", + "_view_count": null, + "_view_module": "@jupyter-widgets/base", + "_view_module_version": "1.2.0", + "_view_name": "StyleView", + "description_width": "" + } + }, + "53df9b8da45f4f51a0bf332174f3d553": { + "model_module": "@jupyter-widgets/controls", + "model_module_version": "1.5.0", + "model_name": "ProgressStyleModel", + "state": { + "_model_module": "@jupyter-widgets/controls", + "_model_module_version": "1.5.0", + "_model_name": "ProgressStyleModel", + "_view_count": null, + "_view_module": "@jupyter-widgets/base", + "_view_module_version": "1.2.0", + "_view_name": "StyleView", + "bar_color": null, + "description_width": "" + } + }, + "56e28c32682f42429e9d4024810d187d": { + "model_module": "@jupyter-widgets/controls", + "model_module_version": "1.5.0", + "model_name": "DescriptionStyleModel", + "state": { + "_model_module": "@jupyter-widgets/controls", + "_model_module_version": "1.5.0", + "_model_name": "DescriptionStyleModel", + "_view_count": null, + "_view_module": "@jupyter-widgets/base", + "_view_module_version": "1.2.0", + "_view_name": "StyleView", + "description_width": "" + } + }, + "572927a28ede44b1a0b0b323f50e465a": { + "model_module": "@jupyter-widgets/controls", + "model_module_version": "1.5.0", + "model_name": "DescriptionStyleModel", + "state": { + "_model_module": "@jupyter-widgets/controls", + "_model_module_version": "1.5.0", + "_model_name": "DescriptionStyleModel", + "_view_count": null, + "_view_module": "@jupyter-widgets/base", + "_view_module_version": "1.2.0", + "_view_name": "StyleView", + "description_width": "" + } + }, + "5767d6030d7446569def16515668e310": { + "model_module": "@jupyter-widgets/controls", + "model_module_version": "1.5.0", + "model_name": "HBoxModel", + "state": { + "_dom_classes": [], + "_model_module": "@jupyter-widgets/controls", + "_model_module_version": "1.5.0", + "_model_name": "HBoxModel", + "_view_count": null, + "_view_module": "@jupyter-widgets/controls", + "_view_module_version": "1.5.0", + "_view_name": "HBoxView", + "box_style": "", + "children": [ + "IPY_MODEL_b13c96a741394c1e8f10aa104df75b26", + "IPY_MODEL_e76ec015895541a59a276b0dedf85fce", + "IPY_MODEL_8ba73b5e902d49aea22f1dd7e4d0481a" + ], + "layout": "IPY_MODEL_785bd2a809cc4581a960526e771088d7" + } + }, + "599951b5e51a4e6986b793515f425046": { + "model_module": "@jupyter-widgets/base", + "model_module_version": "1.2.0", + "model_name": "LayoutModel", + "state": { + "_model_module": "@jupyter-widgets/base", + "_model_module_version": "1.2.0", + "_model_name": "LayoutModel", + "_view_count": null, + "_view_module": "@jupyter-widgets/base", + "_view_module_version": "1.2.0", + "_view_name": "LayoutView", + "align_content": null, + "align_items": null, + "align_self": null, + "border": null, + "bottom": null, + "display": null, + "flex": null, + "flex_flow": null, + "grid_area": null, + "grid_auto_columns": null, + "grid_auto_flow": null, + "grid_auto_rows": null, + "grid_column": null, + "grid_gap": null, + "grid_row": null, + "grid_template_areas": null, + "grid_template_columns": null, + "grid_template_rows": null, + "height": null, + "justify_content": null, + "justify_items": null, + "left": null, + "margin": null, + "max_height": null, + "max_width": null, + "min_height": null, + "min_width": null, + "object_fit": null, + "object_position": null, + "order": null, + "overflow": null, + "overflow_x": null, + "overflow_y": null, + "padding": null, + "right": null, + "top": null, + "visibility": null, + "width": null + } + }, + "5ac3d34ef0144ea39afee30f447e7088": { + "model_module": "@jupyter-widgets/base", + "model_module_version": "1.2.0", + "model_name": "LayoutModel", + "state": { + "_model_module": "@jupyter-widgets/base", + "_model_module_version": "1.2.0", + "_model_name": "LayoutModel", + "_view_count": null, + "_view_module": "@jupyter-widgets/base", + "_view_module_version": "1.2.0", + "_view_name": "LayoutView", + "align_content": null, + "align_items": null, + "align_self": null, + "border": null, + "bottom": null, + "display": null, + "flex": null, + "flex_flow": null, + "grid_area": null, + "grid_auto_columns": null, + "grid_auto_flow": null, + "grid_auto_rows": null, + "grid_column": null, + "grid_gap": null, + "grid_row": null, + "grid_template_areas": null, + "grid_template_columns": null, + "grid_template_rows": null, + "height": null, + "justify_content": null, + "justify_items": null, + "left": null, + "margin": null, + "max_height": null, + "max_width": null, + "min_height": null, + "min_width": null, + "object_fit": null, + "object_position": null, + "order": null, + "overflow": null, + "overflow_x": null, + "overflow_y": null, + "padding": null, + "right": null, + "top": null, + "visibility": null, + "width": null + } + }, + "5b0a3262132e412786b2e1769cf9e680": { + "model_module": "@jupyter-widgets/base", + "model_module_version": "1.2.0", + "model_name": "LayoutModel", + "state": { + "_model_module": "@jupyter-widgets/base", + "_model_module_version": "1.2.0", + "_model_name": "LayoutModel", + "_view_count": null, + "_view_module": "@jupyter-widgets/base", + "_view_module_version": "1.2.0", + "_view_name": "LayoutView", + "align_content": null, + "align_items": null, + "align_self": null, + "border": null, + "bottom": null, + "display": null, + "flex": null, + "flex_flow": null, + "grid_area": null, + "grid_auto_columns": null, + "grid_auto_flow": null, + "grid_auto_rows": null, + "grid_column": null, + "grid_gap": null, + "grid_row": null, + "grid_template_areas": null, + "grid_template_columns": null, + "grid_template_rows": null, + "height": null, + "justify_content": null, + "justify_items": null, + "left": null, + "margin": null, + "max_height": null, + "max_width": null, + "min_height": null, + "min_width": null, + "object_fit": null, + "object_position": null, + "order": null, + "overflow": null, + "overflow_x": null, + "overflow_y": null, + "padding": null, + "right": null, + "top": null, + "visibility": null, + "width": null + } + }, + "5cd6d9ba80904e268948f993cdf620f4": { + "model_module": "@jupyter-widgets/controls", + "model_module_version": "1.5.0", + "model_name": "HTMLModel", + "state": { + "_dom_classes": [], + "_model_module": "@jupyter-widgets/controls", + "_model_module_version": "1.5.0", + "_model_name": "HTMLModel", + "_view_count": null, + "_view_module": "@jupyter-widgets/controls", + "_view_module_version": "1.5.0", + "_view_name": "HTMLView", + "description": "", + "description_tooltip": null, + "layout": "IPY_MODEL_c559e3f09f444ca2b12381822dd58e19", + "placeholder": "​", + "style": "IPY_MODEL_176fe1b57660495aae1d7f75dbadbb84", + "value": " 314/314 [00:00<00:00, 13.1kB/s]" + } + }, + "5db5931da6164e45ad410bd5245dd5d7": { + "model_module": "@jupyter-widgets/base", + "model_module_version": "1.2.0", + "model_name": "LayoutModel", + "state": { + "_model_module": "@jupyter-widgets/base", + "_model_module_version": "1.2.0", + "_model_name": "LayoutModel", + "_view_count": null, + "_view_module": "@jupyter-widgets/base", + "_view_module_version": "1.2.0", + "_view_name": "LayoutView", + "align_content": null, + "align_items": null, + "align_self": null, + "border": null, + "bottom": null, + "display": null, + "flex": null, + "flex_flow": null, + "grid_area": null, + "grid_auto_columns": null, + "grid_auto_flow": null, + "grid_auto_rows": null, + "grid_column": null, + "grid_gap": null, + "grid_row": null, + "grid_template_areas": null, + "grid_template_columns": null, + "grid_template_rows": null, + "height": null, + "justify_content": null, + "justify_items": null, + "left": null, + "margin": null, + "max_height": null, + "max_width": null, + "min_height": null, + "min_width": null, + "object_fit": null, + "object_position": null, + "order": null, + "overflow": null, + "overflow_x": null, + "overflow_y": null, + "padding": null, + "right": null, + "top": null, + "visibility": null, + "width": null + } + }, + "5fc8041cfba2464ab53b8d641115ab49": { + "model_module": "@jupyter-widgets/controls", + "model_module_version": "1.5.0", + "model_name": "HTMLModel", + "state": { + "_dom_classes": [], + "_model_module": "@jupyter-widgets/controls", + "_model_module_version": "1.5.0", + "_model_name": "HTMLModel", + "_view_count": null, + "_view_module": "@jupyter-widgets/controls", + "_view_module_version": "1.5.0", + "_view_name": "HTMLView", + "description": "", + "description_tooltip": null, + "layout": "IPY_MODEL_69d1b8eade2348f0a605d7002884c800", + "placeholder": "​", + "style": "IPY_MODEL_d996b1ce1c694075a3a3cf2b432b051f", + "value": " 3.69k/3.69k [00:00<00:00, 208kB/s]" + } + }, + "61962094327743c0aac444acd819eb87": { + "model_module": "@jupyter-widgets/controls", + "model_module_version": "1.5.0", + "model_name": "HTMLModel", + "state": { + "_dom_classes": [], + "_model_module": "@jupyter-widgets/controls", + "_model_module_version": "1.5.0", + "_model_name": "HTMLModel", + "_view_count": null, + "_view_module": "@jupyter-widgets/controls", + "_view_module_version": "1.5.0", + "_view_name": "HTMLView", + "description": "", + "description_tooltip": null, + "layout": "IPY_MODEL_7024eb64c6d546a493aefc2eadb4a8bc", + "placeholder": "​", + "style": "IPY_MODEL_572927a28ede44b1a0b0b323f50e465a", + "value": " 90.9M/90.9M [00:00<00:00, 221MB/s]" + } + }, + "6208e5022f1e4ea9bc13b1ce4ed59932": { + "model_module": "@jupyter-widgets/base", + "model_module_version": "1.2.0", + "model_name": "LayoutModel", + "state": { + "_model_module": "@jupyter-widgets/base", + "_model_module_version": "1.2.0", + "_model_name": "LayoutModel", + "_view_count": null, + "_view_module": "@jupyter-widgets/base", + "_view_module_version": "1.2.0", + "_view_name": "LayoutView", + "align_content": null, + "align_items": null, + "align_self": null, + "border": null, + "bottom": null, + "display": null, + "flex": null, + "flex_flow": null, + "grid_area": null, + "grid_auto_columns": null, + "grid_auto_flow": null, + "grid_auto_rows": null, + "grid_column": null, + "grid_gap": null, + "grid_row": null, + "grid_template_areas": null, + "grid_template_columns": null, + "grid_template_rows": null, + "height": null, + "justify_content": null, + "justify_items": null, + "left": null, + "margin": null, + "max_height": null, + "max_width": null, + "min_height": null, + "min_width": null, + "object_fit": null, + "object_position": null, + "order": null, + "overflow": null, + "overflow_x": null, + "overflow_y": null, + "padding": null, + "right": null, + "top": null, + "visibility": null, + "width": null + } + }, + "639caaff0c5b48b6841ad6f38e0ee259": { + "model_module": "@jupyter-widgets/controls", + "model_module_version": "1.5.0", + "model_name": "FloatProgressModel", + "state": { + "_dom_classes": [], + "_model_module": "@jupyter-widgets/controls", + "_model_module_version": "1.5.0", + "_model_name": "FloatProgressModel", + "_view_count": null, + "_view_module": "@jupyter-widgets/controls", + "_view_module_version": "1.5.0", + "_view_name": "ProgressView", + "bar_style": "success", + "description": "", + "description_tooltip": null, + "layout": "IPY_MODEL_b7891a77961245d5bdfe6aff7c638373", + "max": 314, + "min": 0, + "orientation": "horizontal", + "style": "IPY_MODEL_7f84877a32554593a4087fd01d13bb16", + "value": 314 + } + }, + "69d1b8eade2348f0a605d7002884c800": { + "model_module": "@jupyter-widgets/base", + "model_module_version": "1.2.0", + "model_name": "LayoutModel", + "state": { + "_model_module": "@jupyter-widgets/base", + "_model_module_version": "1.2.0", + "_model_name": "LayoutModel", + "_view_count": null, + "_view_module": "@jupyter-widgets/base", + "_view_module_version": "1.2.0", + "_view_name": "LayoutView", + "align_content": null, + "align_items": null, + "align_self": null, + "border": null, + "bottom": null, + "display": null, + "flex": null, + "flex_flow": null, + "grid_area": null, + "grid_auto_columns": null, + "grid_auto_flow": null, + "grid_auto_rows": null, + "grid_column": null, + "grid_gap": null, + "grid_row": null, + "grid_template_areas": null, + "grid_template_columns": null, + "grid_template_rows": null, + "height": null, + "justify_content": null, + "justify_items": null, + "left": null, + "margin": null, + "max_height": null, + "max_width": null, + "min_height": null, + "min_width": null, + "object_fit": null, + "object_position": null, + "order": null, + "overflow": null, + "overflow_x": null, + "overflow_y": null, + "padding": null, + "right": null, + "top": null, + "visibility": null, + "width": null + } + }, + "6c287686f88a418bad704a654ddb587b": { + "model_module": "@jupyter-widgets/controls", + "model_module_version": "1.5.0", + "model_name": "HTMLModel", + "state": { + "_dom_classes": [], + "_model_module": "@jupyter-widgets/controls", + "_model_module_version": "1.5.0", + "_model_name": "HTMLModel", + "_view_count": null, + "_view_module": "@jupyter-widgets/controls", + "_view_module_version": "1.5.0", + "_view_name": "HTMLView", + "description": "", + "description_tooltip": null, + "layout": "IPY_MODEL_0934184aed664b8eb41671e2dce592f5", + "placeholder": "​", + "style": "IPY_MODEL_1ee25e0c706b47dfab7671f36c9e3ea0", + "value": " 112/112 [00:00<00:00, 5.21kB/s]" + } + }, + "6cf8bbe4b173498e9f64c05a6793273e": { + "model_module": "@jupyter-widgets/controls", + "model_module_version": "1.5.0", + "model_name": "DescriptionStyleModel", + "state": { + "_model_module": "@jupyter-widgets/controls", + "_model_module_version": "1.5.0", + "_model_name": "DescriptionStyleModel", + "_view_count": null, + "_view_module": "@jupyter-widgets/base", + "_view_module_version": "1.2.0", + "_view_name": "StyleView", + "description_width": "" + } + }, + "6f9921491e5e411798348116aab58b6c": { + "model_module": "@jupyter-widgets/base", + "model_module_version": "1.2.0", + "model_name": "LayoutModel", + "state": { + "_model_module": "@jupyter-widgets/base", + "_model_module_version": "1.2.0", + "_model_name": "LayoutModel", + "_view_count": null, + "_view_module": "@jupyter-widgets/base", + "_view_module_version": "1.2.0", + "_view_name": "LayoutView", + "align_content": null, + "align_items": null, + "align_self": null, + "border": null, + "bottom": null, + "display": null, + "flex": null, + "flex_flow": null, + "grid_area": null, + "grid_auto_columns": null, + "grid_auto_flow": null, + "grid_auto_rows": null, + "grid_column": null, + "grid_gap": null, + "grid_row": null, + "grid_template_areas": null, + "grid_template_columns": null, + "grid_template_rows": null, + "height": null, + "justify_content": null, + "justify_items": null, + "left": null, + "margin": null, + "max_height": null, + "max_width": null, + "min_height": null, + "min_width": null, + "object_fit": null, + "object_position": null, + "order": null, + "overflow": null, + "overflow_x": null, + "overflow_y": null, + "padding": null, + "right": null, + "top": null, + "visibility": null, + "width": null + } + }, + "7024eb64c6d546a493aefc2eadb4a8bc": { + "model_module": "@jupyter-widgets/base", + "model_module_version": "1.2.0", + "model_name": "LayoutModel", + "state": { + "_model_module": "@jupyter-widgets/base", + "_model_module_version": "1.2.0", + "_model_name": "LayoutModel", + "_view_count": null, + "_view_module": "@jupyter-widgets/base", + "_view_module_version": "1.2.0", + "_view_name": "LayoutView", + "align_content": null, + "align_items": null, + "align_self": null, + "border": null, + "bottom": null, + "display": null, + "flex": null, + "flex_flow": null, + "grid_area": null, + "grid_auto_columns": null, + "grid_auto_flow": null, + "grid_auto_rows": null, + "grid_column": null, + "grid_gap": null, + "grid_row": null, + "grid_template_areas": null, + "grid_template_columns": null, + "grid_template_rows": null, + "height": null, + "justify_content": null, + "justify_items": null, + "left": null, + "margin": null, + "max_height": null, + "max_width": null, + "min_height": null, + "min_width": null, + "object_fit": null, + "object_position": null, + "order": null, + "overflow": null, + "overflow_x": null, + "overflow_y": null, + "padding": null, + "right": null, + "top": null, + "visibility": null, + "width": null + } + }, + "71c796745a79461b8bbfb9f109e5f69e": { + "model_module": "@jupyter-widgets/base", + "model_module_version": "1.2.0", + "model_name": "LayoutModel", + "state": { + "_model_module": "@jupyter-widgets/base", + "_model_module_version": "1.2.0", + "_model_name": "LayoutModel", + "_view_count": null, + "_view_module": "@jupyter-widgets/base", + "_view_module_version": "1.2.0", + "_view_name": "LayoutView", + "align_content": null, + "align_items": null, + "align_self": null, + "border": null, + "bottom": null, + "display": null, + "flex": null, + "flex_flow": null, + "grid_area": null, + "grid_auto_columns": null, + "grid_auto_flow": null, + "grid_auto_rows": null, + "grid_column": null, + "grid_gap": null, + "grid_row": null, + "grid_template_areas": null, + "grid_template_columns": null, + "grid_template_rows": null, + "height": null, + "justify_content": null, + "justify_items": null, + "left": null, + "margin": null, + "max_height": null, + "max_width": null, + "min_height": null, + "min_width": null, + "object_fit": null, + "object_position": null, + "order": null, + "overflow": null, + "overflow_x": null, + "overflow_y": null, + "padding": null, + "right": null, + "top": null, + "visibility": null, + "width": null + } + }, + "738a32021fbe4e13937a59cc60eddfed": { + "model_module": "@jupyter-widgets/controls", + "model_module_version": "1.5.0", + "model_name": "ProgressStyleModel", + "state": { + "_model_module": "@jupyter-widgets/controls", + "_model_module_version": "1.5.0", + "_model_name": "ProgressStyleModel", + "_view_count": null, + "_view_module": "@jupyter-widgets/base", + "_view_module_version": "1.2.0", + "_view_name": "StyleView", + "bar_color": null, + "description_width": "" + } + }, + "753ef6203f6b4f42a5f83b96f00e7516": { + "model_module": "@jupyter-widgets/base", + "model_module_version": "1.2.0", + "model_name": "LayoutModel", + "state": { + "_model_module": "@jupyter-widgets/base", + "_model_module_version": "1.2.0", + "_model_name": "LayoutModel", + "_view_count": null, + "_view_module": "@jupyter-widgets/base", + "_view_module_version": "1.2.0", + "_view_name": "LayoutView", + "align_content": null, + "align_items": null, + "align_self": null, + "border": null, + "bottom": null, + "display": null, + "flex": null, + "flex_flow": null, + "grid_area": null, + "grid_auto_columns": null, + "grid_auto_flow": null, + "grid_auto_rows": null, + "grid_column": null, + "grid_gap": null, + "grid_row": null, + "grid_template_areas": null, + "grid_template_columns": null, + "grid_template_rows": null, + "height": null, + "justify_content": null, + "justify_items": null, + "left": null, + "margin": null, + "max_height": null, + "max_width": null, + "min_height": null, + "min_width": null, + "object_fit": null, + "object_position": null, + "order": null, + "overflow": null, + "overflow_x": null, + "overflow_y": null, + "padding": null, + "right": null, + "top": null, + "visibility": null, + "width": null + } + }, + "772f882200424ff888af02f2ad611295": { + "model_module": "@jupyter-widgets/controls", + "model_module_version": "1.5.0", + "model_name": "ProgressStyleModel", + "state": { + "_model_module": "@jupyter-widgets/controls", + "_model_module_version": "1.5.0", + "_model_name": "ProgressStyleModel", + "_view_count": null, + "_view_module": "@jupyter-widgets/base", + "_view_module_version": "1.2.0", + "_view_name": "StyleView", + "bar_color": null, + "description_width": "" + } + }, + "77926a9d9cbd4370b59ee799d5580696": { + "model_module": "@jupyter-widgets/controls", + "model_module_version": "1.5.0", + "model_name": "FloatProgressModel", + "state": { + "_dom_classes": [], + "_model_module": "@jupyter-widgets/controls", + "_model_module_version": "1.5.0", + "_model_name": "FloatProgressModel", + "_view_count": null, + "_view_module": "@jupyter-widgets/controls", + "_view_module_version": "1.5.0", + "_view_name": "ProgressView", + "bar_style": "success", + "description": "", + "description_tooltip": null, + "layout": "IPY_MODEL_4bfd6a4026ce490a94ca0b033d1669dd", + "max": 53, + "min": 0, + "orientation": "horizontal", + "style": "IPY_MODEL_772f882200424ff888af02f2ad611295", + "value": 53 + } + }, + "77a24aaf48da4d85b5d7fd39b33131f9": { + "model_module": "@jupyter-widgets/base", + "model_module_version": "1.2.0", + "model_name": "LayoutModel", + "state": { + "_model_module": "@jupyter-widgets/base", + "_model_module_version": "1.2.0", + "_model_name": "LayoutModel", + "_view_count": null, + "_view_module": "@jupyter-widgets/base", + "_view_module_version": "1.2.0", + "_view_name": "LayoutView", + "align_content": null, + "align_items": null, + "align_self": null, + "border": null, + "bottom": null, + "display": null, + "flex": null, + "flex_flow": null, + "grid_area": null, + "grid_auto_columns": null, + "grid_auto_flow": null, + "grid_auto_rows": null, + "grid_column": null, + "grid_gap": null, + "grid_row": null, + "grid_template_areas": null, + "grid_template_columns": null, + "grid_template_rows": null, + "height": null, + "justify_content": null, + "justify_items": null, + "left": null, + "margin": null, + "max_height": null, + "max_width": null, + "min_height": null, + "min_width": null, + "object_fit": null, + "object_position": null, + "order": null, + "overflow": null, + "overflow_x": null, + "overflow_y": null, + "padding": null, + "right": null, + "top": null, + "visibility": null, + "width": null + } + }, + "785bd2a809cc4581a960526e771088d7": { + "model_module": "@jupyter-widgets/base", + "model_module_version": "1.2.0", + "model_name": "LayoutModel", + "state": { + "_model_module": "@jupyter-widgets/base", + "_model_module_version": "1.2.0", + "_model_name": "LayoutModel", + "_view_count": null, + "_view_module": "@jupyter-widgets/base", + "_view_module_version": "1.2.0", + "_view_name": "LayoutView", + "align_content": null, + "align_items": null, + "align_self": null, + "border": null, + "bottom": null, + "display": null, + "flex": null, + "flex_flow": null, + "grid_area": null, + "grid_auto_columns": null, + "grid_auto_flow": null, + "grid_auto_rows": null, + "grid_column": null, + "grid_gap": null, + "grid_row": null, + "grid_template_areas": null, + "grid_template_columns": null, + "grid_template_rows": null, + "height": null, + "justify_content": null, + "justify_items": null, + "left": null, + "margin": null, + "max_height": null, + "max_width": null, + "min_height": null, + "min_width": null, + "object_fit": null, + "object_position": null, + "order": null, + "overflow": null, + "overflow_x": null, + "overflow_y": null, + "padding": null, + "right": null, + "top": null, + "visibility": null, + "width": null + } + }, + "7c4134447acb472980accdd370a9571e": { + "model_module": "@jupyter-widgets/controls", + "model_module_version": "1.5.0", + "model_name": "DescriptionStyleModel", + "state": { + "_model_module": "@jupyter-widgets/controls", + "_model_module_version": "1.5.0", + "_model_name": "DescriptionStyleModel", + "_view_count": null, + "_view_module": "@jupyter-widgets/base", + "_view_module_version": "1.2.0", + "_view_name": "StyleView", + "description_width": "" + } + }, + "7d82dc5cc07048029c92a1b725aae0c3": { + "model_module": "@jupyter-widgets/controls", + "model_module_version": "1.5.0", + "model_name": "DescriptionStyleModel", + "state": { + "_model_module": "@jupyter-widgets/controls", + "_model_module_version": "1.5.0", + "_model_name": "DescriptionStyleModel", + "_view_count": null, + "_view_module": "@jupyter-widgets/base", + "_view_module_version": "1.2.0", + "_view_name": "StyleView", + "description_width": "" + } + }, + "7f6c34e3dbf745ebbf17359601d709d6": { + "model_module": "@jupyter-widgets/base", + "model_module_version": "1.2.0", + "model_name": "LayoutModel", + "state": { + "_model_module": "@jupyter-widgets/base", + "_model_module_version": "1.2.0", + "_model_name": "LayoutModel", + "_view_count": null, + "_view_module": "@jupyter-widgets/base", + "_view_module_version": "1.2.0", + "_view_name": "LayoutView", + "align_content": null, + "align_items": null, + "align_self": null, + "border": null, + "bottom": null, + "display": null, + "flex": null, + "flex_flow": null, + "grid_area": null, + "grid_auto_columns": null, + "grid_auto_flow": null, + "grid_auto_rows": null, + "grid_column": null, + "grid_gap": null, + "grid_row": null, + "grid_template_areas": null, + "grid_template_columns": null, + "grid_template_rows": null, + "height": null, + "justify_content": null, + "justify_items": null, + "left": null, + "margin": null, + "max_height": null, + "max_width": null, + "min_height": null, + "min_width": null, + "object_fit": null, + "object_position": null, + "order": null, + "overflow": null, + "overflow_x": null, + "overflow_y": null, + "padding": null, + "right": null, + "top": null, + "visibility": null, + "width": null + } + }, + "7f84877a32554593a4087fd01d13bb16": { + "model_module": "@jupyter-widgets/controls", + "model_module_version": "1.5.0", + "model_name": "ProgressStyleModel", + "state": { + "_model_module": "@jupyter-widgets/controls", + "_model_module_version": "1.5.0", + "_model_name": "ProgressStyleModel", + "_view_count": null, + "_view_module": "@jupyter-widgets/base", + "_view_module_version": "1.2.0", + "_view_name": "StyleView", + "bar_color": null, + "description_width": "" + } + }, + "7fc51864cff749ee965d969065317463": { + "model_module": "@jupyter-widgets/controls", + "model_module_version": "1.5.0", + "model_name": "ProgressStyleModel", + "state": { + "_model_module": "@jupyter-widgets/controls", + "_model_module_version": "1.5.0", + "_model_name": "ProgressStyleModel", + "_view_count": null, + "_view_module": "@jupyter-widgets/base", + "_view_module_version": "1.2.0", + "_view_name": "StyleView", + "bar_color": null, + "description_width": "" + } + }, + "820efe8f53664438bc49770846cd634a": { + "model_module": "@jupyter-widgets/base", + "model_module_version": "1.2.0", + "model_name": "LayoutModel", + "state": { + "_model_module": "@jupyter-widgets/base", + "_model_module_version": "1.2.0", + "_model_name": "LayoutModel", + "_view_count": null, + "_view_module": "@jupyter-widgets/base", + "_view_module_version": "1.2.0", + "_view_name": "LayoutView", + "align_content": null, + "align_items": null, + "align_self": null, + "border": null, + "bottom": null, + "display": null, + "flex": null, + "flex_flow": null, + "grid_area": null, + "grid_auto_columns": null, + "grid_auto_flow": null, + "grid_auto_rows": null, + "grid_column": null, + "grid_gap": null, + "grid_row": null, + "grid_template_areas": null, + "grid_template_columns": null, + "grid_template_rows": null, + "height": null, + "justify_content": null, + "justify_items": null, + "left": null, + "margin": null, + "max_height": null, + "max_width": null, + "min_height": null, + "min_width": null, + "object_fit": null, + "object_position": null, + "order": null, + "overflow": null, + "overflow_x": null, + "overflow_y": null, + "padding": null, + "right": null, + "top": null, + "visibility": null, + "width": null + } + }, + "84453afadabb4faa9718074bfea2dc81": { + "model_module": "@jupyter-widgets/base", + "model_module_version": "1.2.0", + "model_name": "LayoutModel", + "state": { + "_model_module": "@jupyter-widgets/base", + "_model_module_version": "1.2.0", + "_model_name": "LayoutModel", + "_view_count": null, + "_view_module": "@jupyter-widgets/base", + "_view_module_version": "1.2.0", + "_view_name": "LayoutView", + "align_content": null, + "align_items": null, + "align_self": null, + "border": null, + "bottom": null, + "display": null, + "flex": null, + "flex_flow": null, + "grid_area": null, + "grid_auto_columns": null, + "grid_auto_flow": null, + "grid_auto_rows": null, + "grid_column": null, + "grid_gap": null, + "grid_row": null, + "grid_template_areas": null, + "grid_template_columns": null, + "grid_template_rows": null, + "height": null, + "justify_content": null, + "justify_items": null, + "left": null, + "margin": null, + "max_height": null, + "max_width": null, + "min_height": null, + "min_width": null, + "object_fit": null, + "object_position": null, + "order": null, + "overflow": null, + "overflow_x": null, + "overflow_y": null, + "padding": null, + "right": null, + "top": null, + "visibility": null, + "width": null + } + }, + "870e254082244b2c97ffd9562a7f1cda": { + "model_module": "@jupyter-widgets/controls", + "model_module_version": "1.5.0", + "model_name": "HTMLModel", + "state": { + "_dom_classes": [], + "_model_module": "@jupyter-widgets/controls", + "_model_module_version": "1.5.0", + "_model_name": "HTMLModel", + "_view_count": null, + "_view_module": "@jupyter-widgets/controls", + "_view_module_version": "1.5.0", + "_view_name": "HTMLView", + "description": "", + "description_tooltip": null, + "layout": "IPY_MODEL_5ac3d34ef0144ea39afee30f447e7088", + "placeholder": "​", + "style": "IPY_MODEL_7d82dc5cc07048029c92a1b725aae0c3", + "value": "Downloading (…)cial_tokens_map.json: 100%" + } + }, + "88d752962d034b65b2be67b617bd27d5": { + "model_module": "@jupyter-widgets/base", + "model_module_version": "1.2.0", + "model_name": "LayoutModel", + "state": { + "_model_module": "@jupyter-widgets/base", + "_model_module_version": "1.2.0", + "_model_name": "LayoutModel", + "_view_count": null, + "_view_module": "@jupyter-widgets/base", + "_view_module_version": "1.2.0", + "_view_name": "LayoutView", + "align_content": null, + "align_items": null, + "align_self": null, + "border": null, + "bottom": null, + "display": null, + "flex": null, + "flex_flow": null, + "grid_area": null, + "grid_auto_columns": null, + "grid_auto_flow": null, + "grid_auto_rows": null, + "grid_column": null, + "grid_gap": null, + "grid_row": null, + "grid_template_areas": null, + "grid_template_columns": null, + "grid_template_rows": null, + "height": null, + "justify_content": null, + "justify_items": null, + "left": null, + "margin": null, + "max_height": null, + "max_width": null, + "min_height": null, + "min_width": null, + "object_fit": null, + "object_position": null, + "order": null, + "overflow": null, + "overflow_x": null, + "overflow_y": null, + "padding": null, + "right": null, + "top": null, + "visibility": null, + "width": null + } + }, + "8afb3e622b6e4bbfa38f94055e092d34": { + "model_module": "@jupyter-widgets/controls", + "model_module_version": "1.5.0", + "model_name": "HTMLModel", + "state": { + "_dom_classes": [], + "_model_module": "@jupyter-widgets/controls", + "_model_module_version": "1.5.0", + "_model_name": "HTMLModel", + "_view_count": null, + "_view_module": "@jupyter-widgets/controls", + "_view_module_version": "1.5.0", + "_view_name": "HTMLView", + "description": "", + "description_tooltip": null, + "layout": "IPY_MODEL_aaf5fe38249345b88d0707403ae20d68", + "placeholder": "​", + "style": "IPY_MODEL_2a255c3cdec34b0b9b590ed05f9ac18b", + "value": "Downloading pytorch_model.bin: 100%" + } + }, + "8ba73b5e902d49aea22f1dd7e4d0481a": { + "model_module": "@jupyter-widgets/controls", + "model_module_version": "1.5.0", + "model_name": "HTMLModel", + "state": { + "_dom_classes": [], + "_model_module": "@jupyter-widgets/controls", + "_model_module_version": "1.5.0", + "_model_name": "HTMLModel", + "_view_count": null, + "_view_module": "@jupyter-widgets/controls", + "_view_module_version": "1.5.0", + "_view_name": "HTMLView", + "description": "", + "description_tooltip": null, + "layout": "IPY_MODEL_88d752962d034b65b2be67b617bd27d5", + "placeholder": "​", + "style": "IPY_MODEL_47afc71eaf1c4e999205a736573557b5", + "value": " 466k/466k [00:00<00:00, 1.88MB/s]" + } + }, + "8d3ee5da94b3483fb8d4f76cca3895fb": { + "model_module": "@jupyter-widgets/controls", + "model_module_version": "1.5.0", + "model_name": "HBoxModel", + "state": { + "_dom_classes": [], + "_model_module": "@jupyter-widgets/controls", + "_model_module_version": "1.5.0", + "_model_name": "HBoxModel", + "_view_count": null, + "_view_module": "@jupyter-widgets/controls", + "_view_module_version": "1.5.0", + "_view_name": "HBoxView", + "box_style": "", + "children": [ + "IPY_MODEL_025457fc6048400dbf847c0c5cb78464", + "IPY_MODEL_33a82c2feb9b429d925bdb6b0a4b64f3", + "IPY_MODEL_e8d851736bbe4d1395e2e0801daa60ac" + ], + "layout": "IPY_MODEL_bdd195b340be424faa30b4b98bf7f874" + } + }, + "8fff9494cc1b4e3099e63ce3a95933cc": { + "model_module": "@jupyter-widgets/base", + "model_module_version": "1.2.0", + "model_name": "LayoutModel", + "state": { + "_model_module": "@jupyter-widgets/base", + "_model_module_version": "1.2.0", + "_model_name": "LayoutModel", + "_view_count": null, + "_view_module": "@jupyter-widgets/base", + "_view_module_version": "1.2.0", + "_view_name": "LayoutView", + "align_content": null, + "align_items": null, + "align_self": null, + "border": null, + "bottom": null, + "display": null, + "flex": null, + "flex_flow": null, + "grid_area": null, + "grid_auto_columns": null, + "grid_auto_flow": null, + "grid_auto_rows": null, + "grid_column": null, + "grid_gap": null, + "grid_row": null, + "grid_template_areas": null, + "grid_template_columns": null, + "grid_template_rows": null, + "height": null, + "justify_content": null, + "justify_items": null, + "left": null, + "margin": null, + "max_height": null, + "max_width": null, + "min_height": null, + "min_width": null, + "object_fit": null, + "object_position": null, + "order": null, + "overflow": null, + "overflow_x": null, + "overflow_y": null, + "padding": null, + "right": null, + "top": null, + "visibility": null, + "width": null + } + }, + "902f8619c4794f11b4d9e089d985505e": { + "model_module": "@jupyter-widgets/controls", + "model_module_version": "1.5.0", + "model_name": "HTMLModel", + "state": { + "_dom_classes": [], + "_model_module": "@jupyter-widgets/controls", + "_model_module_version": "1.5.0", + "_model_name": "HTMLModel", + "_view_count": null, + "_view_module": "@jupyter-widgets/controls", + "_view_module_version": "1.5.0", + "_view_name": "HTMLView", + "description": "", + "description_tooltip": null, + "layout": "IPY_MODEL_820efe8f53664438bc49770846cd634a", + "placeholder": "​", + "style": "IPY_MODEL_22759a76c2074086b18a845a1cae43be", + "value": " 190/190 [00:00<00:00, 10.3kB/s]" + } + }, + "9427e345f83d47819a4069e550c3b69b": { + "model_module": "@jupyter-widgets/base", + "model_module_version": "1.2.0", + "model_name": "LayoutModel", + "state": { + "_model_module": "@jupyter-widgets/base", + "_model_module_version": "1.2.0", + "_model_name": "LayoutModel", + "_view_count": null, + "_view_module": "@jupyter-widgets/base", + "_view_module_version": "1.2.0", + "_view_name": "LayoutView", + "align_content": null, + "align_items": null, + "align_self": null, + "border": null, + "bottom": null, + "display": null, + "flex": null, + "flex_flow": null, + "grid_area": null, + "grid_auto_columns": null, + "grid_auto_flow": null, + "grid_auto_rows": null, + "grid_column": null, + "grid_gap": null, + "grid_row": null, + "grid_template_areas": null, + "grid_template_columns": null, + "grid_template_rows": null, + "height": null, + "justify_content": null, + "justify_items": null, + "left": null, + "margin": null, + "max_height": null, + "max_width": null, + "min_height": null, + "min_width": null, + "object_fit": null, + "object_position": null, + "order": null, + "overflow": null, + "overflow_x": null, + "overflow_y": null, + "padding": null, + "right": null, + "top": null, + "visibility": null, + "width": null + } + }, + "944c663134a7461b9c2daf03a0ee0037": { + "model_module": "@jupyter-widgets/controls", + "model_module_version": "1.5.0", + "model_name": "FloatProgressModel", + "state": { + "_dom_classes": [], + "_model_module": "@jupyter-widgets/controls", + "_model_module_version": "1.5.0", + "_model_name": "FloatProgressModel", + "_view_count": null, + "_view_module": "@jupyter-widgets/controls", + "_view_module_version": "1.5.0", + "_view_name": "ProgressView", + "bar_style": "success", + "description": "", + "description_tooltip": null, + "layout": "IPY_MODEL_84453afadabb4faa9718074bfea2dc81", + "max": 690, + "min": 0, + "orientation": "horizontal", + "style": "IPY_MODEL_ee5a0dec85ab4e298a7cdff6fd3afbef", + "value": 690 + } + }, + "964948c561f64decbc15095378b6b8f7": { + "model_module": "@jupyter-widgets/controls", + "model_module_version": "1.5.0", + "model_name": "HBoxModel", + "state": { + "_dom_classes": [], + "_model_module": "@jupyter-widgets/controls", + "_model_module_version": "1.5.0", + "_model_name": "HBoxModel", + "_view_count": null, + "_view_module": "@jupyter-widgets/controls", + "_view_module_version": "1.5.0", + "_view_name": "HBoxView", + "box_style": "", + "children": [ + "IPY_MODEL_870e254082244b2c97ffd9562a7f1cda", + "IPY_MODEL_0335fd912a07400097bfb8098de5f1eb", + "IPY_MODEL_6c287686f88a418bad704a654ddb587b" + ], + "layout": "IPY_MODEL_71c796745a79461b8bbfb9f109e5f69e" + } + }, + "9679a45fdcf04656a8c81f2be9747fa1": { + "model_module": "@jupyter-widgets/base", + "model_module_version": "1.2.0", + "model_name": "LayoutModel", + "state": { + "_model_module": "@jupyter-widgets/base", + "_model_module_version": "1.2.0", + "_model_name": "LayoutModel", + "_view_count": null, + "_view_module": "@jupyter-widgets/base", + "_view_module_version": "1.2.0", + "_view_name": "LayoutView", + "align_content": null, + "align_items": null, + "align_self": null, + "border": null, + "bottom": null, + "display": null, + "flex": null, + "flex_flow": null, + "grid_area": null, + "grid_auto_columns": null, + "grid_auto_flow": null, + "grid_auto_rows": null, + "grid_column": null, + "grid_gap": null, + "grid_row": null, + "grid_template_areas": null, + "grid_template_columns": null, + "grid_template_rows": null, + "height": null, + "justify_content": null, + "justify_items": null, + "left": null, + "margin": null, + "max_height": null, + "max_width": null, + "min_height": null, + "min_width": null, + "object_fit": null, + "object_position": null, + "order": null, + "overflow": null, + "overflow_x": null, + "overflow_y": null, + "padding": null, + "right": null, + "top": null, + "visibility": null, + "width": null + } + }, + "9684c496dbf44102b2859fa9f2065937": { + "model_module": "@jupyter-widgets/controls", + "model_module_version": "1.5.0", + "model_name": "HTMLModel", + "state": { + "_dom_classes": [], + "_model_module": "@jupyter-widgets/controls", + "_model_module_version": "1.5.0", + "_model_name": "HTMLModel", + "_view_count": null, + "_view_module": "@jupyter-widgets/controls", + "_view_module_version": "1.5.0", + "_view_name": "HTMLView", + "description": "", + "description_tooltip": null, + "layout": "IPY_MODEL_db0676a1bedc4f95a89514a80ba85fdb", + "placeholder": "​", + "style": "IPY_MODEL_99f3dff4f9e646c8b829a32411a3779e", + "value": "Downloading (…)3bbb8001fa/vocab.txt: 100%" + } + }, + "98a59b9993d841bcabe3540b9abe5405": { + "model_module": "@jupyter-widgets/controls", + "model_module_version": "1.5.0", + "model_name": "HTMLModel", + "state": { + "_dom_classes": [], + "_model_module": "@jupyter-widgets/controls", + "_model_module_version": "1.5.0", + "_model_name": "HTMLModel", + "_view_count": null, + "_view_module": "@jupyter-widgets/controls", + "_view_module_version": "1.5.0", + "_view_name": "HTMLView", + "description": "", + "description_tooltip": null, + "layout": "IPY_MODEL_9f6e3f39326946c6946fa64c3ab89d29", + "placeholder": "​", + "style": "IPY_MODEL_538d5841b24444ed87376ee45d3ef9c3", + "value": "Downloading (…)001fa/.gitattributes: 100%" + } + }, + "99f3dff4f9e646c8b829a32411a3779e": { + "model_module": "@jupyter-widgets/controls", + "model_module_version": "1.5.0", + "model_name": "DescriptionStyleModel", + "state": { + "_model_module": "@jupyter-widgets/controls", + "_model_module_version": "1.5.0", + "_model_name": "DescriptionStyleModel", + "_view_count": null, + "_view_module": "@jupyter-widgets/base", + "_view_module_version": "1.2.0", + "_view_name": "StyleView", + "description_width": "" + } + }, + "9f0c0750d91a4474b124d9b3c699f5af": { + "model_module": "@jupyter-widgets/base", + "model_module_version": "1.2.0", + "model_name": "LayoutModel", + "state": { + "_model_module": "@jupyter-widgets/base", + "_model_module_version": "1.2.0", + "_model_name": "LayoutModel", + "_view_count": null, + "_view_module": "@jupyter-widgets/base", + "_view_module_version": "1.2.0", + "_view_name": "LayoutView", + "align_content": null, + "align_items": null, + "align_self": null, + "border": null, + "bottom": null, + "display": null, + "flex": null, + "flex_flow": null, + "grid_area": null, + "grid_auto_columns": null, + "grid_auto_flow": null, + "grid_auto_rows": null, + "grid_column": null, + "grid_gap": null, + "grid_row": null, + "grid_template_areas": null, + "grid_template_columns": null, + "grid_template_rows": null, + "height": null, + "justify_content": null, + "justify_items": null, + "left": null, + "margin": null, + "max_height": null, + "max_width": null, + "min_height": null, + "min_width": null, + "object_fit": null, + "object_position": null, + "order": null, + "overflow": null, + "overflow_x": null, + "overflow_y": null, + "padding": null, + "right": null, + "top": null, + "visibility": null, + "width": null + } + }, + "9f6e3f39326946c6946fa64c3ab89d29": { + "model_module": "@jupyter-widgets/base", + "model_module_version": "1.2.0", + "model_name": "LayoutModel", + "state": { + "_model_module": "@jupyter-widgets/base", + "_model_module_version": "1.2.0", + "_model_name": "LayoutModel", + "_view_count": null, + "_view_module": "@jupyter-widgets/base", + "_view_module_version": "1.2.0", + "_view_name": "LayoutView", + "align_content": null, + "align_items": null, + "align_self": null, + "border": null, + "bottom": null, + "display": null, + "flex": null, + "flex_flow": null, + "grid_area": null, + "grid_auto_columns": null, + "grid_auto_flow": null, + "grid_auto_rows": null, + "grid_column": null, + "grid_gap": null, + "grid_row": null, + "grid_template_areas": null, + "grid_template_columns": null, + "grid_template_rows": null, + "height": null, + "justify_content": null, + "justify_items": null, + "left": null, + "margin": null, + "max_height": null, + "max_width": null, + "min_height": null, + "min_width": null, + "object_fit": null, + "object_position": null, + "order": null, + "overflow": null, + "overflow_x": null, + "overflow_y": null, + "padding": null, + "right": null, + "top": null, + "visibility": null, + "width": null + } + }, + "a02d426e0b984945b86920373e68f95d": { + "model_module": "@jupyter-widgets/controls", + "model_module_version": "1.5.0", + "model_name": "FloatProgressModel", + "state": { + "_dom_classes": [], + "_model_module": "@jupyter-widgets/controls", + "_model_module_version": "1.5.0", + "_model_name": "FloatProgressModel", + "_view_count": null, + "_view_module": "@jupyter-widgets/controls", + "_view_module_version": "1.5.0", + "_view_name": "ProgressView", + "bar_style": "success", + "description": "", + "description_tooltip": null, + "layout": "IPY_MODEL_8fff9494cc1b4e3099e63ce3a95933cc", + "max": 3693, + "min": 0, + "orientation": "horizontal", + "style": "IPY_MODEL_287d369ea3cc488da2c7b9fd41a765b9", + "value": 3693 + } + }, + "a1ce73adfdc04b9e906056805b4b158f": { + "model_module": "@jupyter-widgets/base", + "model_module_version": "1.2.0", + "model_name": "LayoutModel", + "state": { + "_model_module": "@jupyter-widgets/base", + "_model_module_version": "1.2.0", + "_model_name": "LayoutModel", + "_view_count": null, + "_view_module": "@jupyter-widgets/base", + "_view_module_version": "1.2.0", + "_view_name": "LayoutView", + "align_content": null, + "align_items": null, + "align_self": null, + "border": null, + "bottom": null, + "display": null, + "flex": null, + "flex_flow": null, + "grid_area": null, + "grid_auto_columns": null, + "grid_auto_flow": null, + "grid_auto_rows": null, + "grid_column": null, + "grid_gap": null, + "grid_row": null, + "grid_template_areas": null, + "grid_template_columns": null, + "grid_template_rows": null, + "height": null, + "justify_content": null, + "justify_items": null, + "left": null, + "margin": null, + "max_height": null, + "max_width": null, + "min_height": null, + "min_width": null, + "object_fit": null, + "object_position": null, + "order": null, + "overflow": null, + "overflow_x": null, + "overflow_y": null, + "padding": null, + "right": null, + "top": null, + "visibility": null, + "width": null + } + }, + "a30d85af657f42e1920b0268fb81922c": { + "model_module": "@jupyter-widgets/controls", + "model_module_version": "1.5.0", + "model_name": "HBoxModel", + "state": { + "_dom_classes": [], + "_model_module": "@jupyter-widgets/controls", + "_model_module_version": "1.5.0", + "_model_name": "HBoxModel", + "_view_count": null, + "_view_module": "@jupyter-widgets/controls", + "_view_module_version": "1.5.0", + "_view_name": "HBoxView", + "box_style": "", + "children": [ + "IPY_MODEL_358407e69316455bac3d3242d61c4c0c", + "IPY_MODEL_639caaff0c5b48b6841ad6f38e0ee259", + "IPY_MODEL_5cd6d9ba80904e268948f993cdf620f4" + ], + "layout": "IPY_MODEL_c8bd25c4a5de44f886b94d90274ec3b1" + } + }, + "a46989f17a0745aa8aa9e5d07a729019": { + "model_module": "@jupyter-widgets/controls", + "model_module_version": "1.5.0", + "model_name": "DescriptionStyleModel", + "state": { + "_model_module": "@jupyter-widgets/controls", + "_model_module_version": "1.5.0", + "_model_name": "DescriptionStyleModel", + "_view_count": null, + "_view_module": "@jupyter-widgets/base", + "_view_module_version": "1.2.0", + "_view_name": "StyleView", + "description_width": "" + } + }, + "a75a921780b5435f880324f819827709": { + "model_module": "@jupyter-widgets/base", + "model_module_version": "1.2.0", + "model_name": "LayoutModel", + "state": { + "_model_module": "@jupyter-widgets/base", + "_model_module_version": "1.2.0", + "_model_name": "LayoutModel", + "_view_count": null, + "_view_module": "@jupyter-widgets/base", + "_view_module_version": "1.2.0", + "_view_name": "LayoutView", + "align_content": null, + "align_items": null, + "align_self": null, + "border": null, + "bottom": null, + "display": null, + "flex": null, + "flex_flow": null, + "grid_area": null, + "grid_auto_columns": null, + "grid_auto_flow": null, + "grid_auto_rows": null, + "grid_column": null, + "grid_gap": null, + "grid_row": null, + "grid_template_areas": null, + "grid_template_columns": null, + "grid_template_rows": null, + "height": null, + "justify_content": null, + "justify_items": null, + "left": null, + "margin": null, + "max_height": null, + "max_width": null, + "min_height": null, + "min_width": null, + "object_fit": null, + "object_position": null, + "order": null, + "overflow": null, + "overflow_x": null, + "overflow_y": null, + "padding": null, + "right": null, + "top": null, + "visibility": null, + "width": null + } + }, + "aac6718eb17c4cd5913a37417394121a": { + "model_module": "@jupyter-widgets/base", + "model_module_version": "1.2.0", + "model_name": "LayoutModel", + "state": { + "_model_module": "@jupyter-widgets/base", + "_model_module_version": "1.2.0", + "_model_name": "LayoutModel", + "_view_count": null, + "_view_module": "@jupyter-widgets/base", + "_view_module_version": "1.2.0", + "_view_name": "LayoutView", + "align_content": null, + "align_items": null, + "align_self": null, + "border": null, + "bottom": null, + "display": null, + "flex": null, + "flex_flow": null, + "grid_area": null, + "grid_auto_columns": null, + "grid_auto_flow": null, + "grid_auto_rows": null, + "grid_column": null, + "grid_gap": null, + "grid_row": null, + "grid_template_areas": null, + "grid_template_columns": null, + "grid_template_rows": null, + "height": null, + "justify_content": null, + "justify_items": null, + "left": null, + "margin": null, + "max_height": null, + "max_width": null, + "min_height": null, + "min_width": null, + "object_fit": null, + "object_position": null, + "order": null, + "overflow": null, + "overflow_x": null, + "overflow_y": null, + "padding": null, + "right": null, + "top": null, + "visibility": null, + "width": null + } + }, + "aaf5fe38249345b88d0707403ae20d68": { + "model_module": "@jupyter-widgets/base", + "model_module_version": "1.2.0", + "model_name": "LayoutModel", + "state": { + "_model_module": "@jupyter-widgets/base", + "_model_module_version": "1.2.0", + "_model_name": "LayoutModel", + "_view_count": null, + "_view_module": "@jupyter-widgets/base", + "_view_module_version": "1.2.0", + "_view_name": "LayoutView", + "align_content": null, + "align_items": null, + "align_self": null, + "border": null, + "bottom": null, + "display": null, + "flex": null, + "flex_flow": null, + "grid_area": null, + "grid_auto_columns": null, + "grid_auto_flow": null, + "grid_auto_rows": null, + "grid_column": null, + "grid_gap": null, + "grid_row": null, + "grid_template_areas": null, + "grid_template_columns": null, + "grid_template_rows": null, + "height": null, + "justify_content": null, + "justify_items": null, + "left": null, + "margin": null, + "max_height": null, + "max_width": null, + "min_height": null, + "min_width": null, + "object_fit": null, + "object_position": null, + "order": null, + "overflow": null, + "overflow_x": null, + "overflow_y": null, + "padding": null, + "right": null, + "top": null, + "visibility": null, + "width": null + } + }, + "ae914fe1f3d440efacc13d2dc775417d": { + "model_module": "@jupyter-widgets/controls", + "model_module_version": "1.5.0", + "model_name": "DescriptionStyleModel", + "state": { + "_model_module": "@jupyter-widgets/controls", + "_model_module_version": "1.5.0", + "_model_name": "DescriptionStyleModel", + "_view_count": null, + "_view_module": "@jupyter-widgets/base", + "_view_module_version": "1.2.0", + "_view_name": "StyleView", + "description_width": "" + } + }, + "b13c96a741394c1e8f10aa104df75b26": { + "model_module": "@jupyter-widgets/controls", + "model_module_version": "1.5.0", + "model_name": "HTMLModel", + "state": { + "_dom_classes": [], + "_model_module": "@jupyter-widgets/controls", + "_model_module_version": "1.5.0", + "_model_name": "HTMLModel", + "_view_count": null, + "_view_module": "@jupyter-widgets/controls", + "_view_module_version": "1.5.0", + "_view_name": "HTMLView", + "description": "", + "description_tooltip": null, + "layout": "IPY_MODEL_21553ec74baf4388bd6b14b17372676e", + "placeholder": "​", + "style": "IPY_MODEL_cbd37f9e1b1c433aa9040d8afa7ce9a6", + "value": "Downloading (…)001fa/tokenizer.json: 100%" + } + }, + "b6129556a88e446f86e3157ab1ea581f": { + "model_module": "@jupyter-widgets/base", + "model_module_version": "1.2.0", + "model_name": "LayoutModel", + "state": { + "_model_module": "@jupyter-widgets/base", + "_model_module_version": "1.2.0", + "_model_name": "LayoutModel", + "_view_count": null, + "_view_module": "@jupyter-widgets/base", + "_view_module_version": "1.2.0", + "_view_name": "LayoutView", + "align_content": null, + "align_items": null, + "align_self": null, + "border": null, + "bottom": null, + "display": null, + "flex": null, + "flex_flow": null, + "grid_area": null, + "grid_auto_columns": null, + "grid_auto_flow": null, + "grid_auto_rows": null, + "grid_column": null, + "grid_gap": null, + "grid_row": null, + "grid_template_areas": null, + "grid_template_columns": null, + "grid_template_rows": null, + "height": null, + "justify_content": null, + "justify_items": null, + "left": null, + "margin": null, + "max_height": null, + "max_width": null, + "min_height": null, + "min_width": null, + "object_fit": null, + "object_position": null, + "order": null, + "overflow": null, + "overflow_x": null, + "overflow_y": null, + "padding": null, + "right": null, + "top": null, + "visibility": null, + "width": null + } + }, + "b66ce3a21fa3466594df8b673935558d": { + "model_module": "@jupyter-widgets/controls", + "model_module_version": "1.5.0", + "model_name": "HBoxModel", + "state": { + "_dom_classes": [], + "_model_module": "@jupyter-widgets/controls", + "_model_module_version": "1.5.0", + "_model_name": "HBoxModel", + "_view_count": null, + "_view_module": "@jupyter-widgets/controls", + "_view_module_version": "1.5.0", + "_view_name": "HBoxView", + "box_style": "", + "children": [ + "IPY_MODEL_c7d95d4096a144a6855ae52d3eba19e6", + "IPY_MODEL_2bcba1e8250a4753a786f7e3bb91359b", + "IPY_MODEL_f937853fdef9460ba86d3582d4aa3bc6" + ], + "layout": "IPY_MODEL_a1ce73adfdc04b9e906056805b4b158f" + } + }, + "b6f87f17da4a41cc8142278b09d77f3c": { + "model_module": "@jupyter-widgets/base", + "model_module_version": "1.2.0", + "model_name": "LayoutModel", + "state": { + "_model_module": "@jupyter-widgets/base", + "_model_module_version": "1.2.0", + "_model_name": "LayoutModel", + "_view_count": null, + "_view_module": "@jupyter-widgets/base", + "_view_module_version": "1.2.0", + "_view_name": "LayoutView", + "align_content": null, + "align_items": null, + "align_self": null, + "border": null, + "bottom": null, + "display": null, + "flex": null, + "flex_flow": null, + "grid_area": null, + "grid_auto_columns": null, + "grid_auto_flow": null, + "grid_auto_rows": null, + "grid_column": null, + "grid_gap": null, + "grid_row": null, + "grid_template_areas": null, + "grid_template_columns": null, + "grid_template_rows": null, + "height": null, + "justify_content": null, + "justify_items": null, + "left": null, + "margin": null, + "max_height": null, + "max_width": null, + "min_height": null, + "min_width": null, + "object_fit": null, + "object_position": null, + "order": null, + "overflow": null, + "overflow_x": null, + "overflow_y": null, + "padding": null, + "right": null, + "top": null, + "visibility": null, + "width": null + } + }, + "b7891a77961245d5bdfe6aff7c638373": { + "model_module": "@jupyter-widgets/base", + "model_module_version": "1.2.0", + "model_name": "LayoutModel", + "state": { + "_model_module": "@jupyter-widgets/base", + "_model_module_version": "1.2.0", + "_model_name": "LayoutModel", + "_view_count": null, + "_view_module": "@jupyter-widgets/base", + "_view_module_version": "1.2.0", + "_view_name": "LayoutView", + "align_content": null, + "align_items": null, + "align_self": null, + "border": null, + "bottom": null, + "display": null, + "flex": null, + "flex_flow": null, + "grid_area": null, + "grid_auto_columns": null, + "grid_auto_flow": null, + "grid_auto_rows": null, + "grid_column": null, + "grid_gap": null, + "grid_row": null, + "grid_template_areas": null, + "grid_template_columns": null, + "grid_template_rows": null, + "height": null, + "justify_content": null, + "justify_items": null, + "left": null, + "margin": null, + "max_height": null, + "max_width": null, + "min_height": null, + "min_width": null, + "object_fit": null, + "object_position": null, + "order": null, + "overflow": null, + "overflow_x": null, + "overflow_y": null, + "padding": null, + "right": null, + "top": null, + "visibility": null, + "width": null + } + }, + "bdd195b340be424faa30b4b98bf7f874": { + "model_module": "@jupyter-widgets/base", + "model_module_version": "1.2.0", + "model_name": "LayoutModel", + "state": { + "_model_module": "@jupyter-widgets/base", + "_model_module_version": "1.2.0", + "_model_name": "LayoutModel", + "_view_count": null, + "_view_module": "@jupyter-widgets/base", + "_view_module_version": "1.2.0", + "_view_name": "LayoutView", + "align_content": null, + "align_items": null, + "align_self": null, + "border": null, + "bottom": null, + "display": null, + "flex": null, + "flex_flow": null, + "grid_area": null, + "grid_auto_columns": null, + "grid_auto_flow": null, + "grid_auto_rows": null, + "grid_column": null, + "grid_gap": null, + "grid_row": null, + "grid_template_areas": null, + "grid_template_columns": null, + "grid_template_rows": null, + "height": null, + "justify_content": null, + "justify_items": null, + "left": null, + "margin": null, + "max_height": null, + "max_width": null, + "min_height": null, + "min_width": null, + "object_fit": null, + "object_position": null, + "order": null, + "overflow": null, + "overflow_x": null, + "overflow_y": null, + "padding": null, + "right": null, + "top": null, + "visibility": null, + "width": null + } + }, + "c49511b787b1495ab8b8e53d50b12137": { + "model_module": "@jupyter-widgets/base", + "model_module_version": "1.2.0", + "model_name": "LayoutModel", + "state": { + "_model_module": "@jupyter-widgets/base", + "_model_module_version": "1.2.0", + "_model_name": "LayoutModel", + "_view_count": null, + "_view_module": "@jupyter-widgets/base", + "_view_module_version": "1.2.0", + "_view_name": "LayoutView", + "align_content": null, + "align_items": null, + "align_self": null, + "border": null, + "bottom": null, + "display": null, + "flex": null, + "flex_flow": null, + "grid_area": null, + "grid_auto_columns": null, + "grid_auto_flow": null, + "grid_auto_rows": null, + "grid_column": null, + "grid_gap": null, + "grid_row": null, + "grid_template_areas": null, + "grid_template_columns": null, + "grid_template_rows": null, + "height": null, + "justify_content": null, + "justify_items": null, + "left": null, + "margin": null, + "max_height": null, + "max_width": null, + "min_height": null, + "min_width": null, + "object_fit": null, + "object_position": null, + "order": null, + "overflow": null, + "overflow_x": null, + "overflow_y": null, + "padding": null, + "right": null, + "top": null, + "visibility": null, + "width": null + } + }, + "c559e3f09f444ca2b12381822dd58e19": { + "model_module": "@jupyter-widgets/base", + "model_module_version": "1.2.0", + "model_name": "LayoutModel", + "state": { + "_model_module": "@jupyter-widgets/base", + "_model_module_version": "1.2.0", + "_model_name": "LayoutModel", + "_view_count": null, + "_view_module": "@jupyter-widgets/base", + "_view_module_version": "1.2.0", + "_view_name": "LayoutView", + "align_content": null, + "align_items": null, + "align_self": null, + "border": null, + "bottom": null, + "display": null, + "flex": null, + "flex_flow": null, + "grid_area": null, + "grid_auto_columns": null, + "grid_auto_flow": null, + "grid_auto_rows": null, + "grid_column": null, + "grid_gap": null, + "grid_row": null, + "grid_template_areas": null, + "grid_template_columns": null, + "grid_template_rows": null, + "height": null, + "justify_content": null, + "justify_items": null, + "left": null, + "margin": null, + "max_height": null, + "max_width": null, + "min_height": null, + "min_width": null, + "object_fit": null, + "object_position": null, + "order": null, + "overflow": null, + "overflow_x": null, + "overflow_y": null, + "padding": null, + "right": null, + "top": null, + "visibility": null, + "width": null + } + }, + "c70e53d150ca453e901191fada274d92": { + "model_module": "@jupyter-widgets/controls", + "model_module_version": "1.5.0", + "model_name": "DescriptionStyleModel", + "state": { + "_model_module": "@jupyter-widgets/controls", + "_model_module_version": "1.5.0", + "_model_name": "DescriptionStyleModel", + "_view_count": null, + "_view_module": "@jupyter-widgets/base", + "_view_module_version": "1.2.0", + "_view_name": "StyleView", + "description_width": "" + } + }, + "c763f1d1f248475c8af0129d79e791fe": { + "model_module": "@jupyter-widgets/controls", + "model_module_version": "1.5.0", + "model_name": "DescriptionStyleModel", + "state": { + "_model_module": "@jupyter-widgets/controls", + "_model_module_version": "1.5.0", + "_model_name": "DescriptionStyleModel", + "_view_count": null, + "_view_module": "@jupyter-widgets/base", + "_view_module_version": "1.2.0", + "_view_name": "StyleView", + "description_width": "" + } + }, + "c78440f94f77457f9752403933fa1bac": { + "model_module": "@jupyter-widgets/controls", + "model_module_version": "1.5.0", + "model_name": "HBoxModel", + "state": { + "_dom_classes": [], + "_model_module": "@jupyter-widgets/controls", + "_model_module_version": "1.5.0", + "_model_name": "HBoxModel", + "_view_count": null, + "_view_module": "@jupyter-widgets/controls", + "_view_module_version": "1.5.0", + "_view_name": "HBoxView", + "box_style": "", + "children": [ + "IPY_MODEL_e180de6f2d0c47b6bfce088fc83803de", + "IPY_MODEL_77926a9d9cbd4370b59ee799d5580696", + "IPY_MODEL_e83139ac0dbe46f7b5f0d03b8745ba4d" + ], + "layout": "IPY_MODEL_cab2b7d22a194ab4a1d822e3094dac8e" + } + }, + "c7d95d4096a144a6855ae52d3eba19e6": { + "model_module": "@jupyter-widgets/controls", + "model_module_version": "1.5.0", + "model_name": "HTMLModel", + "state": { + "_dom_classes": [], + "_model_module": "@jupyter-widgets/controls", + "_model_module_version": "1.5.0", + "_model_name": "HTMLModel", + "_view_count": null, + "_view_module": "@jupyter-widgets/controls", + "_view_module_version": "1.5.0", + "_view_name": "HTMLView", + "description": "", + "description_tooltip": null, + "layout": "IPY_MODEL_77a24aaf48da4d85b5d7fd39b33131f9", + "placeholder": "​", + "style": "IPY_MODEL_0d08be47053e45bcaae7602715569d3b", + "value": "Downloading (…)bb8001fa/config.json: 100%" + } + }, + "c8bd25c4a5de44f886b94d90274ec3b1": { + "model_module": "@jupyter-widgets/base", + "model_module_version": "1.2.0", + "model_name": "LayoutModel", + "state": { + "_model_module": "@jupyter-widgets/base", + "_model_module_version": "1.2.0", + "_model_name": "LayoutModel", + "_view_count": null, + "_view_module": "@jupyter-widgets/base", + "_view_module_version": "1.2.0", + "_view_name": "LayoutView", + "align_content": null, + "align_items": null, + "align_self": null, + "border": null, + "bottom": null, + "display": null, + "flex": null, + "flex_flow": null, + "grid_area": null, + "grid_auto_columns": null, + "grid_auto_flow": null, + "grid_auto_rows": null, + "grid_column": null, + "grid_gap": null, + "grid_row": null, + "grid_template_areas": null, + "grid_template_columns": null, + "grid_template_rows": null, + "height": null, + "justify_content": null, + "justify_items": null, + "left": null, + "margin": null, + "max_height": null, + "max_width": null, + "min_height": null, + "min_width": null, + "object_fit": null, + "object_position": null, + "order": null, + "overflow": null, + "overflow_x": null, + "overflow_y": null, + "padding": null, + "right": null, + "top": null, + "visibility": null, + "width": null + } + }, + "cab2b7d22a194ab4a1d822e3094dac8e": { + "model_module": "@jupyter-widgets/base", + "model_module_version": "1.2.0", + "model_name": "LayoutModel", + "state": { + "_model_module": "@jupyter-widgets/base", + "_model_module_version": "1.2.0", + "_model_name": "LayoutModel", + "_view_count": null, + "_view_module": "@jupyter-widgets/base", + "_view_module_version": "1.2.0", + "_view_name": "LayoutView", + "align_content": null, + "align_items": null, + "align_self": null, + "border": null, + "bottom": null, + "display": null, + "flex": null, + "flex_flow": null, + "grid_area": null, + "grid_auto_columns": null, + "grid_auto_flow": null, + "grid_auto_rows": null, + "grid_column": null, + "grid_gap": null, + "grid_row": null, + "grid_template_areas": null, + "grid_template_columns": null, + "grid_template_rows": null, + "height": null, + "justify_content": null, + "justify_items": null, + "left": null, + "margin": null, + "max_height": null, + "max_width": null, + "min_height": null, + "min_width": null, + "object_fit": null, + "object_position": null, + "order": null, + "overflow": null, + "overflow_x": null, + "overflow_y": null, + "padding": null, + "right": null, + "top": null, + "visibility": null, + "width": null + } + }, + "cbd37f9e1b1c433aa9040d8afa7ce9a6": { + "model_module": "@jupyter-widgets/controls", + "model_module_version": "1.5.0", + "model_name": "DescriptionStyleModel", + "state": { + "_model_module": "@jupyter-widgets/controls", + "_model_module_version": "1.5.0", + "_model_name": "DescriptionStyleModel", + "_view_count": null, + "_view_module": "@jupyter-widgets/base", + "_view_module_version": "1.2.0", + "_view_name": "StyleView", + "description_width": "" + } + }, + "cc250f2b5c8c4431b9c8ccb6535352f2": { + "model_module": "@jupyter-widgets/base", + "model_module_version": "1.2.0", + "model_name": "LayoutModel", + "state": { + "_model_module": "@jupyter-widgets/base", + "_model_module_version": "1.2.0", + "_model_name": "LayoutModel", + "_view_count": null, + "_view_module": "@jupyter-widgets/base", + "_view_module_version": "1.2.0", + "_view_name": "LayoutView", + "align_content": null, + "align_items": null, + "align_self": null, + "border": null, + "bottom": null, + "display": null, + "flex": null, + "flex_flow": null, + "grid_area": null, + "grid_auto_columns": null, + "grid_auto_flow": null, + "grid_auto_rows": null, + "grid_column": null, + "grid_gap": null, + "grid_row": null, + "grid_template_areas": null, + "grid_template_columns": null, + "grid_template_rows": null, + "height": null, + "justify_content": null, + "justify_items": null, + "left": null, + "margin": null, + "max_height": null, + "max_width": null, + "min_height": null, + "min_width": null, + "object_fit": null, + "object_position": null, + "order": null, + "overflow": null, + "overflow_x": null, + "overflow_y": null, + "padding": null, + "right": null, + "top": null, + "visibility": null, + "width": null + } + }, + "d996b1ce1c694075a3a3cf2b432b051f": { + "model_module": "@jupyter-widgets/controls", + "model_module_version": "1.5.0", + "model_name": "DescriptionStyleModel", + "state": { + "_model_module": "@jupyter-widgets/controls", + "_model_module_version": "1.5.0", + "_model_name": "DescriptionStyleModel", + "_view_count": null, + "_view_module": "@jupyter-widgets/base", + "_view_module_version": "1.2.0", + "_view_name": "StyleView", + "description_width": "" + } + }, + "db0676a1bedc4f95a89514a80ba85fdb": { + "model_module": "@jupyter-widgets/base", + "model_module_version": "1.2.0", + "model_name": "LayoutModel", + "state": { + "_model_module": "@jupyter-widgets/base", + "_model_module_version": "1.2.0", + "_model_name": "LayoutModel", + "_view_count": null, + "_view_module": "@jupyter-widgets/base", + "_view_module_version": "1.2.0", + "_view_name": "LayoutView", + "align_content": null, + "align_items": null, + "align_self": null, + "border": null, + "bottom": null, + "display": null, + "flex": null, + "flex_flow": null, + "grid_area": null, + "grid_auto_columns": null, + "grid_auto_flow": null, + "grid_auto_rows": null, + "grid_column": null, + "grid_gap": null, + "grid_row": null, + "grid_template_areas": null, + "grid_template_columns": null, + "grid_template_rows": null, + "height": null, + "justify_content": null, + "justify_items": null, + "left": null, + "margin": null, + "max_height": null, + "max_width": null, + "min_height": null, + "min_width": null, + "object_fit": null, + "object_position": null, + "order": null, + "overflow": null, + "overflow_x": null, + "overflow_y": null, + "padding": null, + "right": null, + "top": null, + "visibility": null, + "width": null + } + }, + "de598a810ed348f3b99703ee2df5d7ab": { + "model_module": "@jupyter-widgets/base", + "model_module_version": "1.2.0", + "model_name": "LayoutModel", + "state": { + "_model_module": "@jupyter-widgets/base", + "_model_module_version": "1.2.0", + "_model_name": "LayoutModel", + "_view_count": null, + "_view_module": "@jupyter-widgets/base", + "_view_module_version": "1.2.0", + "_view_name": "LayoutView", + "align_content": null, + "align_items": null, + "align_self": null, + "border": null, + "bottom": null, + "display": null, + "flex": null, + "flex_flow": null, + "grid_area": null, + "grid_auto_columns": null, + "grid_auto_flow": null, + "grid_auto_rows": null, + "grid_column": null, + "grid_gap": null, + "grid_row": null, + "grid_template_areas": null, + "grid_template_columns": null, + "grid_template_rows": null, + "height": null, + "justify_content": null, + "justify_items": null, + "left": null, + "margin": null, + "max_height": null, + "max_width": null, + "min_height": null, + "min_width": null, + "object_fit": null, + "object_position": null, + "order": null, + "overflow": null, + "overflow_x": null, + "overflow_y": null, + "padding": null, + "right": null, + "top": null, + "visibility": null, + "width": null + } + }, + "e08c40099bcb4386a5d9196c7fe60c92": { + "model_module": "@jupyter-widgets/controls", + "model_module_version": "1.5.0", + "model_name": "HTMLModel", + "state": { + "_dom_classes": [], + "_model_module": "@jupyter-widgets/controls", + "_model_module_version": "1.5.0", + "_model_name": "HTMLModel", + "_view_count": null, + "_view_module": "@jupyter-widgets/controls", + "_view_module_version": "1.5.0", + "_view_name": "HTMLView", + "description": "", + "description_tooltip": null, + "layout": "IPY_MODEL_f45b2cc72b5b46a995f4be2879f1f07a", + "placeholder": "​", + "style": "IPY_MODEL_e92ae9cf534b46c2b81abf2b86b6053a", + "value": "Downloading (…)ce_transformers.json: 100%" + } + }, + "e0ac3a5b158f47bb901391da8c977269": { + "model_module": "@jupyter-widgets/controls", + "model_module_version": "1.5.0", + "model_name": "HBoxModel", + "state": { + "_dom_classes": [], + "_model_module": "@jupyter-widgets/controls", + "_model_module_version": "1.5.0", + "_model_name": "HBoxModel", + "_view_count": null, + "_view_module": "@jupyter-widgets/controls", + "_view_module_version": "1.5.0", + "_view_name": "HBoxView", + "box_style": "", + "children": [ + "IPY_MODEL_e08c40099bcb4386a5d9196c7fe60c92", + "IPY_MODEL_1f44d5f8dfc94d0cbc15c6d03f63461f", + "IPY_MODEL_e5eec581a3c943eb8ba67049f051519a" + ], + "layout": "IPY_MODEL_aac6718eb17c4cd5913a37417394121a" + } + }, + "e180de6f2d0c47b6bfce088fc83803de": { + "model_module": "@jupyter-widgets/controls", + "model_module_version": "1.5.0", + "model_name": "HTMLModel", + "state": { + "_dom_classes": [], + "_model_module": "@jupyter-widgets/controls", + "_model_module_version": "1.5.0", + "_model_name": "HTMLModel", + "_view_count": null, + "_view_module": "@jupyter-widgets/controls", + "_view_module_version": "1.5.0", + "_view_name": "HTMLView", + "description": "", + "description_tooltip": null, + "layout": "IPY_MODEL_753ef6203f6b4f42a5f83b96f00e7516", + "placeholder": "​", + "style": "IPY_MODEL_2ba3cc1d6cb14bb5926548dc8139fecd", + "value": "Downloading (…)nce_bert_config.json: 100%" + } + }, + "e33aaab8459b49798d7a7693c8380fcf": { + "model_module": "@jupyter-widgets/controls", + "model_module_version": "1.5.0", + "model_name": "HTMLModel", + "state": { + "_dom_classes": [], + "_model_module": "@jupyter-widgets/controls", + "_model_module_version": "1.5.0", + "_model_name": "HTMLModel", + "_view_count": null, + "_view_module": "@jupyter-widgets/controls", + "_view_module_version": "1.5.0", + "_view_name": "HTMLView", + "description": "", + "description_tooltip": null, + "layout": "IPY_MODEL_438ae0dc98fc49fe9622f2ca6bcd7d60", + "placeholder": "​", + "style": "IPY_MODEL_ae914fe1f3d440efacc13d2dc775417d", + "value": " 232k/232k [00:00<00:00, 6.87MB/s]" + } + }, + "e5260e7642524d679a35589530b6692a": { + "model_module": "@jupyter-widgets/controls", + "model_module_version": "1.5.0", + "model_name": "HTMLModel", + "state": { + "_dom_classes": [], + "_model_module": "@jupyter-widgets/controls", + "_model_module_version": "1.5.0", + "_model_name": "HTMLModel", + "_view_count": null, + "_view_module": "@jupyter-widgets/controls", + "_view_module_version": "1.5.0", + "_view_name": "HTMLView", + "description": "", + "description_tooltip": null, + "layout": "IPY_MODEL_9f0c0750d91a4474b124d9b3c699f5af", + "placeholder": "​", + "style": "IPY_MODEL_24bccd99ce094a9ca9f73aa1ef0d4a1b", + "value": "Downloading (…)3bbb8001fa/README.md: 100%" + } + }, + "e5eec581a3c943eb8ba67049f051519a": { + "model_module": "@jupyter-widgets/controls", + "model_module_version": "1.5.0", + "model_name": "HTMLModel", + "state": { + "_dom_classes": [], + "_model_module": "@jupyter-widgets/controls", + "_model_module_version": "1.5.0", + "_model_name": "HTMLModel", + "_view_count": null, + "_view_module": "@jupyter-widgets/controls", + "_view_module_version": "1.5.0", + "_view_name": "HTMLView", + "description": "", + "description_tooltip": null, + "layout": "IPY_MODEL_6208e5022f1e4ea9bc13b1ce4ed59932", + "placeholder": "​", + "style": "IPY_MODEL_c70e53d150ca453e901191fada274d92", + "value": " 122/122 [00:00<00:00, 6.71kB/s]" + } + }, + "e76ec015895541a59a276b0dedf85fce": { + "model_module": "@jupyter-widgets/controls", + "model_module_version": "1.5.0", + "model_name": "FloatProgressModel", + "state": { + "_dom_classes": [], + "_model_module": "@jupyter-widgets/controls", + "_model_module_version": "1.5.0", + "_model_name": "FloatProgressModel", + "_view_count": null, + "_view_module": "@jupyter-widgets/controls", + "_view_module_version": "1.5.0", + "_view_name": "ProgressView", + "bar_style": "success", + "description": "", + "description_tooltip": null, + "layout": "IPY_MODEL_13529256a79d46fbbbfaf494609327e0", + "max": 466081, + "min": 0, + "orientation": "horizontal", + "style": "IPY_MODEL_53df9b8da45f4f51a0bf332174f3d553", + "value": 466081 + } + }, + "e83139ac0dbe46f7b5f0d03b8745ba4d": { + "model_module": "@jupyter-widgets/controls", + "model_module_version": "1.5.0", + "model_name": "HTMLModel", + "state": { + "_dom_classes": [], + "_model_module": "@jupyter-widgets/controls", + "_model_module_version": "1.5.0", + "_model_name": "HTMLModel", + "_view_count": null, + "_view_module": "@jupyter-widgets/controls", + "_view_module_version": "1.5.0", + "_view_name": "HTMLView", + "description": "", + "description_tooltip": null, + "layout": "IPY_MODEL_0beddc365b094536a7367c8a7f7cc54f", + "placeholder": "​", + "style": "IPY_MODEL_6cf8bbe4b173498e9f64c05a6793273e", + "value": " 53.0/53.0 [00:00<00:00, 1.86kB/s]" + } + }, + "e8d851736bbe4d1395e2e0801daa60ac": { + "model_module": "@jupyter-widgets/controls", + "model_module_version": "1.5.0", + "model_name": "HTMLModel", + "state": { + "_dom_classes": [], + "_model_module": "@jupyter-widgets/controls", + "_model_module_version": "1.5.0", + "_model_name": "HTMLModel", + "_view_count": null, + "_view_module": "@jupyter-widgets/controls", + "_view_module_version": "1.5.0", + "_view_name": "HTMLView", + "description": "", + "description_tooltip": null, + "layout": "IPY_MODEL_9427e345f83d47819a4069e550c3b69b", + "placeholder": "​", + "style": "IPY_MODEL_431147d89adc4e738f7bd96f8edaed64", + "value": " 229/229 [00:00<00:00, 8.78kB/s]" + } + }, + "e92ae9cf534b46c2b81abf2b86b6053a": { + "model_module": "@jupyter-widgets/controls", + "model_module_version": "1.5.0", + "model_name": "DescriptionStyleModel", + "state": { + "_model_module": "@jupyter-widgets/controls", + "_model_module_version": "1.5.0", + "_model_name": "DescriptionStyleModel", + "_view_count": null, + "_view_module": "@jupyter-widgets/base", + "_view_module_version": "1.2.0", + "_view_name": "StyleView", + "description_width": "" + } + }, + "eaeed180a0c047d2ac9c42e43b5e6d56": { + "model_module": "@jupyter-widgets/controls", + "model_module_version": "1.5.0", + "model_name": "HTMLModel", + "state": { + "_dom_classes": [], + "_model_module": "@jupyter-widgets/controls", + "_model_module_version": "1.5.0", + "_model_name": "HTMLModel", + "_view_count": null, + "_view_module": "@jupyter-widgets/controls", + "_view_module_version": "1.5.0", + "_view_name": "HTMLView", + "description": "", + "description_tooltip": null, + "layout": "IPY_MODEL_cc250f2b5c8c4431b9c8ccb6535352f2", + "placeholder": "​", + "style": "IPY_MODEL_a46989f17a0745aa8aa9e5d07a729019", + "value": "Downloading (…)_Pooling/config.json: 100%" + } + }, + "ee5a0dec85ab4e298a7cdff6fd3afbef": { + "model_module": "@jupyter-widgets/controls", + "model_module_version": "1.5.0", + "model_name": "ProgressStyleModel", + "state": { + "_model_module": "@jupyter-widgets/controls", + "_model_module_version": "1.5.0", + "_model_name": "ProgressStyleModel", + "_view_count": null, + "_view_module": "@jupyter-widgets/base", + "_view_module_version": "1.2.0", + "_view_name": "StyleView", + "bar_color": null, + "description_width": "" + } + }, + "f45b2cc72b5b46a995f4be2879f1f07a": { + "model_module": "@jupyter-widgets/base", + "model_module_version": "1.2.0", + "model_name": "LayoutModel", + "state": { + "_model_module": "@jupyter-widgets/base", + "_model_module_version": "1.2.0", + "_model_name": "LayoutModel", + "_view_count": null, + "_view_module": "@jupyter-widgets/base", + "_view_module_version": "1.2.0", + "_view_name": "LayoutView", + "align_content": null, + "align_items": null, + "align_self": null, + "border": null, + "bottom": null, + "display": null, + "flex": null, + "flex_flow": null, + "grid_area": null, + "grid_auto_columns": null, + "grid_auto_flow": null, + "grid_auto_rows": null, + "grid_column": null, + "grid_gap": null, + "grid_row": null, + "grid_template_areas": null, + "grid_template_columns": null, + "grid_template_rows": null, + "height": null, + "justify_content": null, + "justify_items": null, + "left": null, + "margin": null, + "max_height": null, + "max_width": null, + "min_height": null, + "min_width": null, + "object_fit": null, + "object_position": null, + "order": null, + "overflow": null, + "overflow_x": null, + "overflow_y": null, + "padding": null, + "right": null, + "top": null, + "visibility": null, + "width": null + } + }, + "f5607a8cd6064471bd6ee228e15dfb26": { + "model_module": "@jupyter-widgets/base", + "model_module_version": "1.2.0", + "model_name": "LayoutModel", + "state": { + "_model_module": "@jupyter-widgets/base", + "_model_module_version": "1.2.0", + "_model_name": "LayoutModel", + "_view_count": null, + "_view_module": "@jupyter-widgets/base", + "_view_module_version": "1.2.0", + "_view_name": "LayoutView", + "align_content": null, + "align_items": null, + "align_self": null, + "border": null, + "bottom": null, + "display": null, + "flex": null, + "flex_flow": null, + "grid_area": null, + "grid_auto_columns": null, + "grid_auto_flow": null, + "grid_auto_rows": null, + "grid_column": null, + "grid_gap": null, + "grid_row": null, + "grid_template_areas": null, + "grid_template_columns": null, + "grid_template_rows": null, + "height": null, + "justify_content": null, + "justify_items": null, + "left": null, + "margin": null, + "max_height": null, + "max_width": null, + "min_height": null, + "min_width": null, + "object_fit": null, + "object_position": null, + "order": null, + "overflow": null, + "overflow_x": null, + "overflow_y": null, + "padding": null, + "right": null, + "top": null, + "visibility": null, + "width": null + } + }, + "f937853fdef9460ba86d3582d4aa3bc6": { + "model_module": "@jupyter-widgets/controls", + "model_module_version": "1.5.0", + "model_name": "HTMLModel", + "state": { + "_dom_classes": [], + "_model_module": "@jupyter-widgets/controls", + "_model_module_version": "1.5.0", + "_model_name": "HTMLModel", + "_view_count": null, + "_view_module": "@jupyter-widgets/controls", + "_view_module_version": "1.5.0", + "_view_name": "HTMLView", + "description": "", + "description_tooltip": null, + "layout": "IPY_MODEL_6f9921491e5e411798348116aab58b6c", + "placeholder": "​", + "style": "IPY_MODEL_7c4134447acb472980accdd370a9571e", + "value": " 629/629 [00:00<00:00, 32.2kB/s]" + } + }, + "fc9da1463a964359b5cda6a879aeb786": { + "model_module": "@jupyter-widgets/base", + "model_module_version": "1.2.0", + "model_name": "LayoutModel", + "state": { + "_model_module": "@jupyter-widgets/base", + "_model_module_version": "1.2.0", + "_model_name": "LayoutModel", + "_view_count": null, + "_view_module": "@jupyter-widgets/base", + "_view_module_version": "1.2.0", + "_view_name": "LayoutView", + "align_content": null, + "align_items": null, + "align_self": null, + "border": null, + "bottom": null, + "display": null, + "flex": null, + "flex_flow": null, + "grid_area": null, + "grid_auto_columns": null, + "grid_auto_flow": null, + "grid_auto_rows": null, + "grid_column": null, + "grid_gap": null, + "grid_row": null, + "grid_template_areas": null, + "grid_template_columns": null, + "grid_template_rows": null, + "height": null, + "justify_content": null, + "justify_items": null, + "left": null, + "margin": null, + "max_height": null, + "max_width": null, + "min_height": null, + "min_width": null, + "object_fit": null, + "object_position": null, + "order": null, + "overflow": null, + "overflow_x": null, + "overflow_y": null, + "padding": null, + "right": null, + "top": null, + "visibility": null, + "width": null + } + }, + "fe186d2eacf045ff91db878847d121e7": { + "model_module": "@jupyter-widgets/controls", + "model_module_version": "1.5.0", + "model_name": "ProgressStyleModel", + "state": { + "_model_module": "@jupyter-widgets/controls", + "_model_module_version": "1.5.0", + "_model_name": "ProgressStyleModel", + "_view_count": null, + "_view_module": "@jupyter-widgets/base", + "_view_module_version": "1.2.0", + "_view_name": "StyleView", + "bar_color": null, + "description_width": "" + } + } + } + } + }, + "nbformat": 4, + "nbformat_minor": 4 +} diff --git a/Courses/DeepLearning.AI Short Courses/Vector Databases: from Embeddings to Applications/L2_kNN.ipynb b/Courses/DeepLearning.AI Short Courses/Vector Databases: from Embeddings to Applications/L2_kNN.ipynb new file mode 100644 index 0000000..5a78ea5 --- /dev/null +++ b/Courses/DeepLearning.AI Short Courses/Vector Databases: from Embeddings to Applications/L2_kNN.ipynb @@ -0,0 +1,443 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "fe548d4c-0ae6-4490-85e9-9a08b324e523", + "metadata": {}, + "source": [ + "# K Nearest Neighbors" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "id": "1dffa51f", + "metadata": { + "height": 98 + }, + "outputs": [], + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "from sklearn.neighbors import NearestNeighbors\n", + "import time\n", + "np.random.seed(42)" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "c6507163-f256-4969-b39a-42e4fe87e16e", + "metadata": { + "height": 47 + }, + "outputs": [], + "source": [ + "# Generate 20 data points with 2 dimensions\n", + "X = np.random.rand(20,2)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "0d57be60-f38c-40ec-9a79-6abe351ff8e1", + "metadata": { + "height": 166 + }, + "outputs": [], + "source": [ + "# Display Embeddings\n", + "n = range(len(X))\n", + "\n", + "fig, ax = plt.subplots()\n", + "ax.scatter(X[:,0], X[:,1], label='Embeddings')\n", + "ax.legend()\n", + "\n", + "for i, txt in enumerate(n):\n", + " ax.annotate(txt, (X[i,0], X[i,1]))" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "f7607bd1-41e2-4f8b-9c25-9deba45c1bc4", + "metadata": { + "height": 81 + }, + "outputs": [], + "source": [ + "k = 4\n", + "\n", + "neigh = NearestNeighbors(n_neighbors=k, algorithm='brute', metric='euclidean')\n", + "neigh.fit(X)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "0dfb6e89-cfb6-4ef3-a5b9-b8ba65cfe7b1", + "metadata": { + "height": 183 + }, + "outputs": [], + "source": [ + "# Display Query with data\n", + "n = range(len(X))\n", + "\n", + "fig, ax = plt.subplots()\n", + "ax.scatter(X[:,0], X[:,1])\n", + "ax.scatter(0.45,0.2, c='red',label='Query')\n", + "ax.legend()\n", + "\n", + "for i, txt in enumerate(n):\n", + " ax.annotate(txt, (X[i,0], X[i,1]))" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "cd20c13b-c830-47fc-9bde-824b81607ebc", + "metadata": { + "height": 47 + }, + "outputs": [], + "source": [ + "neighbours = neigh.kneighbors([[0.45,0.2]], k, return_distance=True)\n", + "print(neighbours)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "31e7e76f-f26e-46a5-9778-8e1aa46e18b5", + "metadata": { + "height": 115 + }, + "outputs": [], + "source": [ + "t0 = time.time()\n", + "neighbours = neigh.kneighbors([[0.45,0.2]], k, return_distance=True)\n", + "t1 = time.time()\n", + "\n", + "query_time = t1-t0\n", + "print(f\"Runtime: {query_time: .4f} seconds\")" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "b4827c91-797a-469d-9679-1dbba2e864d1", + "metadata": { + "height": 319 + }, + "outputs": [], + "source": [ + "def speed_test(count):\n", + " # generate random objects\n", + " data = np.random.rand(count,2)\n", + " \n", + " # prepare brute force index\n", + " k=4\n", + " neigh = NearestNeighbors(n_neighbors=k, algorithm='brute', metric='euclidean')\n", + " neigh.fit(data)\n", + "\n", + " # measure time for a brute force query\n", + " t0 = time.time()\n", + " neighbours = neigh.kneighbors([[0.45,0.2]], k, return_distance=True)\n", + " t1 = time.time()\n", + "\n", + " total_time = t1-t0\n", + " print (f\"Runtime: {total_time: .4f}\")\n", + "\n", + " return total_time" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "cae5ed6a-9fb8-4fc3-85c6-b9eff573ad5a", + "metadata": { + "height": 30 + }, + "outputs": [], + "source": [ + "time20k = speed_test(20_000)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "1f114314-b875-40b0-be81-bae6b1762765", + "metadata": { + "height": 98 + }, + "outputs": [], + "source": [ + "# Brute force examples\n", + "time200k = speed_test(200_000)\n", + "time2m = speed_test(2_000_000)\n", + "time20m = speed_test(20_000_000)\n", + "time200m = speed_test(200_000_000)" + ] + }, + { + "cell_type": "markdown", + "id": "1760c511-c422-42dc-a41c-b125623a8619", + "metadata": {}, + "source": [ + "## Brute force kNN implemented by hand on `768` dimensional embeddings" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "d140b5d1-e110-4a42-9e3c-00beab03694d", + "metadata": { + "height": 149 + }, + "outputs": [], + "source": [ + "documents = 1000\n", + "dimensions = 768\n", + "\n", + "embeddings = np.random.randn(documents, dimensions) # 1000 documents, 768-dimensional embeddings\n", + "embeddings = embeddings / np.sqrt((embeddings**2).sum(1, keepdims=True)) # L2 normalize the rows, as is common\n", + "\n", + "query = np.random.randn(768) # the query vector\n", + "query = query / np.sqrt((query**2).sum()) # normalize query" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "e8cfca36-3b4e-4103-bae1-98939b48c78c", + "metadata": { + "height": 251 + }, + "outputs": [], + "source": [ + "# kNN\n", + "t0 = time.time()\n", + "# Calculate Dot Product between the query and all data items\n", + "similarities = embeddings.dot(query)\n", + "# Sort results\n", + "sorted_ix = np.argsort(-similarities)\n", + "t1 = time.time()\n", + "\n", + "total = t1-t0\n", + "print(f\"Runtime for dim={dimensions}, documents_n={documents}: {np.round(total,3)} seconds\")\n", + "\n", + "print(\"Top 5 results:\")\n", + "for k in sorted_ix[:5]:\n", + " print(f\"Point: {k}, Similarity: {similarities[k]}\")" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "51493604-ca06-4129-a026-007b6ecbb478", + "metadata": { + "height": 234 + }, + "outputs": [], + "source": [ + "n_runs = [1_000, 10_000, 100_000, 500_000]\n", + "\n", + "for n in n_runs:\n", + " embeddings = np.random.randn(n, dimensions) #768-dimensional embeddings\n", + " query = np.random.randn(768) # the query vector\n", + " \n", + " t0 = time.time()\n", + " similarities = embeddings.dot(query)\n", + " sorted_ix = np.argsort(-similarities)\n", + " t1 = time.time()\n", + "\n", + " total = t1-t0\n", + " print(f\"Runtime for 1 query with dim={dimensions}, documents_n={n}: {np.round(total,3)} seconds\")" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "9748863e-5640-42c4-8223-3d0897867c58", + "metadata": { + "height": 30 + }, + "outputs": [], + "source": [ + "print (f\"To run 1,000 queries: {total * 1_000/60 : .2f} minutes\")" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "deeba5ab-f767-44ac-8c37-47a46f26f1f4", + "metadata": { + "height": 30 + }, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "c1d6eb5a-7eef-49db-94c2-4f81085aa319", + "metadata": { + "height": 30 + }, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "ef1d12f2-f4d5-4bea-9268-f3d38de1d01d", + "metadata": { + "height": 30 + }, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "f67c4fb3-56a4-4b5e-b3e6-e8517a9958b8", + "metadata": { + "height": 30 + }, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "e49f3e52-32ad-46d8-9222-e17db1822ead", + "metadata": { + "height": 30 + }, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "27b08d45-4c19-4123-b0f5-948785810347", + "metadata": { + "height": 30 + }, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "4fe5c54c-f7ba-43dd-a9e2-006f180d19b8", + "metadata": { + "height": 30 + }, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "d2f19487-55fe-4fd8-8895-d0fbd9d408fa", + "metadata": { + "height": 30 + }, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "e14c073d-f51d-4229-bb18-bf2ca33b6a45", + "metadata": { + "height": 30 + }, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "136a9eaa-f548-419b-a280-f75fc0035c4b", + "metadata": { + "height": 30 + }, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "daee8bd2-2a65-40c1-a644-abb59f8ea5a3", + "metadata": { + "height": 30 + }, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "e32b66c0-3522-4aea-ab08-f29ef5138169", + "metadata": { + "height": 30 + }, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "d069b75f-6549-475b-bbb4-40c0a93e01b4", + "metadata": { + "height": 30 + }, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "dbd4335f-f2d1-4725-a4c0-6a12f79530ee", + "metadata": { + "height": 30 + }, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "1c6a0e14-34d6-4c6b-9ee6-8f3e72547dae", + "metadata": { + "height": 30 + }, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.9.18" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/Courses/DeepLearning.AI Short Courses/Vector Databases: from Embeddings to Applications/L3_approximate_nearest_neighbours.ipynb b/Courses/DeepLearning.AI Short Courses/Vector Databases: from Embeddings to Applications/L3_approximate_nearest_neighbours.ipynb new file mode 100644 index 0000000..dde2a7a --- /dev/null +++ b/Courses/DeepLearning.AI Short Courses/Vector Databases: from Embeddings to Applications/L3_approximate_nearest_neighbours.ipynb @@ -0,0 +1,874 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Remove old Weaviate DB files" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "height": 30 + }, + "outputs": [], + "source": [ + "!rm -rf ~/.local/share/weaviate" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Approximate Nearest Neighbors" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "height": 234 + }, + "outputs": [], + "source": [ + "from random import random, randint\n", + "from math import floor, log\n", + "import networkx as nx\n", + "import numpy as np\n", + "import matplotlib as mtplt\n", + "from matplotlib import pyplot as plt\n", + "from utils import *\n", + "\n", + "vec_num = 40 # Number of vectors (nodes)\n", + "dim = 2 ## Dimention. Set to be 2. All the graph plots are for dim 2. If changed, then plots should be commented. \n", + "m_nearest_neighbor = 2 # M Nearest Neigbor used in construction of the Navigable Small World (NSW)\n", + "\n", + "vec_pos = np.random.uniform(size=(vec_num, dim))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Query Vector" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "height": 217 + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "nodes = [('Q', {'pos': [0.5, 0.5]})]\n" + ] + } + ], + "source": [ + "## Query\n", + "query_vec = [0.5, 0.5]\n", + "\n", + "nodes = []\n", + "nodes.append((\"Q\",{\"pos\": query_vec}))\n", + "\n", + "G_query = nx.Graph()\n", + "G_query.add_nodes_from(nodes)\n", + "\n", + "print(\"nodes = \", nodes, flush=True)\n", + "\n", + "pos_query=nx.get_node_attributes(G_query,'pos')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Brute Force" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": { + "height": 183 + }, + "outputs": [ + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "(G_lin, G_best) = nearest_neigbor(vec_pos,query_vec)\n", + "\n", + "pos_lin=nx.get_node_attributes(G_lin,'pos')\n", + "pos_best=nx.get_node_attributes(G_best,'pos')\n", + "\n", + "fig, axs = plt.subplots()\n", + "\n", + "nx.draw(G_lin, pos_lin, with_labels=True, node_size=150, node_color=[[0.8,0.8,1]], width=0.0, font_size=7, ax = axs)\n", + "nx.draw(G_query, pos_query, with_labels=True, node_size=200, node_color=[[0.5,0,0]], font_color='white', width=0.5, font_size=7, font_weight='bold', ax = axs)\n", + "nx.draw(G_best, pos_best, with_labels=True, node_size=200, node_color=[[0.85,0.7,0.2]], width=0.5, font_size=7, font_weight='bold', ax = axs)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### HNSW Construction" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "height": 285 + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "layer_i = 3\n" + ] + }, + { + "data": { + "image/png": "iVBORw0KGgoAAAANSUhEUgAAAgMAAAGFCAYAAABg2vAPAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjguMCwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy81sbWrAAAACXBIWXMAAA9hAAAPYQGoP6dpAABGhklEQVR4nO3deXQb93kv/O8MNmLhBi4SRVG7RFK2FkpyZMtOXMeyXceq69ze6zZ90/bESXtz31wndW5zGnd7X8dOcm6SprEdJ/F92zht3bSNs9s5TRMvieLEsRSJkkWREUXSpESZ4gKCBAmAwAxm3j9GILFvBIgB5vs5R0ckOD9wKIGDZ36/5/c8gqqqKoiIiMiwxHKfABEREZUXgwEiIiKDYzBARERkcAwGiIiIDI7BABERkcExGCAiIjI4BgNEREQGx2CAiIjI4BgMEBERGRyDASIiIoNjMEBERGRwDAaIiIgMjsEAERGRwTEYICIiMjgGA0RERAbHYICIiMjgGAwQEREZHIMBIiIig2MwQEREZHAMBoiIiAyOwQAREZHBMRggIiIyOAYDREREBsdggIiIyOAYDBARERkcgwEiIiKDYzBARERkcAwGiIiIDI7BABERkcExGCAiIjI4BgNEREQGx2CAiIjI4MzlPgEiIiotWQYCAUCSAEUBRBGwWACHAzDzXYAACKqqquU+CSIiKj5JAnw+IBxOf4zVCtTVacEBGReDASKiKhQKAbOzuR/vdgM2W+nOh/SNOQNERFVGkvILBADteEkqzfmQ/jEYICKqMj7f2o6jysfUESKiKiLLKzkCshzG2bOvwO/34cCBO2C3u/DGGz8FACiKDFVVcOjQ3ctjw2FtPJMKjYc5A0REVcTnA/x+7WNFUSDLYQwPn0FHRxdcrobl4yYmRhAK+bFly5648U6nllBIxsJlAiKiKhK77i+KIqzWmpTHTU9fRkvLpozjyTgYDBARVRFFyX6MJIURDgfhdNYXNJ6qD4MBIqIqIuZwVfd4xtHcvLHg8VR9mCZicMEgcPmytsYYTRxyOoGODsBuL/fZEVG+LJbMRYYAYGrqMrZv70k7noyHwYBBeTzAyAgwOZn664ODwLp1wLZtQFPT2p4bERXO4VhJIASAN974CRYX5xAM+tDWtgMtLRsRDi/B6UydJehwrNGJkq5wN4HBqKoWBAwM5D6mu1sLCgShdOdFRMXj8WSfHUjFamXwb1RcHTKYfAMBQDt+ZKQ050NExVfo1kBuKTQuBgMG4vHkHwhEDQxo44lI/ywWrddAPtxu5gsYGXMGDCTd3f2lS7/EZz7z3mufKXjrrbfwsY/9G2666b6k8ZxCJKoMNhvQ3MyuhZQb5gwYRDAIvPRS9uO83pfxoQ/9N3z1q5dQU+NM+vrtt3OXAVGlkWUgENAKCimKtn3QYtGSBVl6mADODBjG5cvZj1HVCE6c+A/s23c0ZSAQfZ5du4p8ckRUUmYz8wEoMwYDBhG71SidSGQSr79+EkePfjjNESp8vggURYTIyiRErNNBVYPBgEHIcvZj5ucHcOFCHz7+8XelPeaHP3wR9933AVgsFlit1qQ/FosFtbW1qKurg9PphMPhgNPpjPs48e/ExxwOB0wmUxF/eqLiYp0OqjYMBgwi27qgqio4ceI/0NPzm2kbmwAC7rnnLjz44Hl4PJ7lPzMzM8sfT09PY3p6GlevXkUkEkEkEoEsy7BYLHA4HLDb7bDZbLBYLLBYLBBFEYIgQFVVSJKEYDCIQCCASCQCIaawQWxqi8ViyTvASPyamQulVIB86nRMTmp/WKeDKgGviAbhTJ0CsCwSuYrXXz+Bd73rY1meR0B9fT3q6+uxbdu2nL9/IBBIGTzEfu7z+eLe9M1mM9xuN5qbm9HU1ISmpiY0Nzejvr4edrsdDocDZrMZS0tLCAQC8Pv9y39PTU3B7/fHPRb7tyzLSMydjQYfoigWFGDEPma1WuOCGaoOhdbpAIDt24t/PkTFwmDAIDo6tKnLdEIhJ4aHL6Cn566sz1OI6PR/Rx5PEA6HMTs7GxcwTE5O4vz5lZkJr9eLSCSyPEYURTQ2Ni4HD01NTejs7IwLJpqammC1WtN+X1mWEQgEUgYR0QDD6/VifHw85dcCgQBCoRAApJzdEEURdrt9VbMbNTU1DDbW2GrrdDQ0cMmA9ItbCw3k5Mn0a5y5WLcOuOGG4p1PKUQiEczNzSXNQCR+LCU0ba+rq0sKGBI/dzgcRXkDVhQFwWAwZRCRLvhIfGxpaQkA0s5u1NTUrGp2w263M0k0QfT3Z3r6Mj7/+T/A/PwUTCYzfvd3/xq33PLf8NnPvgeXLvVDUSK47rq344MffCru37ASfn/IuBgMGIjHA7z2WuHjb7qpOu9sVFXFwsJC1gAiEAjEjbPb7SkDiNiP6+vr1/wOXlVVLC0t5R1gxH4tGAxCSWhsH/05VFWFzWZb1TKK0+msqCTR2Dods7MT8HguYMOGMObn5/Dxj38ITz89gkDg57DbzVCUCJ544incdtv7cNNN7457HtbpIL3iMoGBNDVpyUyFTHV2d+cXCFRSkRNBEFBXV4e6ujps3bo153HBYDApaBgdHcWpU6eWH0/Mg7BYLHC73RkDCLfbvao3SkEQYLfbYS/Ru46qqgiHw1kDjYmJiYxBSKYkUbPZvOokUUsRS+rF1ulwu9vQ0NAAQbDA6TSjru6vMDd3HuvX3wFBMEGS5hAOPwIgOQhknQ7SK51dlqnUojl/hXQtzIUkpS9/Gg5r+7Grpfyp3W7Hxo0bsXHjxpzHxOZBRP9MTU1hYGBgOYBIlQfR0NCQNniI/rHZbKX4MZMIggCbzQabzYbGxsaSfA9JkuLyNlIFHTMzMxlnOSRJypgkGs1jySXACId3A3Aj+gYvilqgNTR0CoqioLm5HYJgwqc//V9x7tzL2Lv3bTh8+N6knyuXeh9E5cBlAoPKtk8ayH+fdCgEzM7mfg5ut1Y/nTKLzYPItBsjnBCB1dbWpg0gip0HUWkikUjWJNHYx9rafguNjV2IvdtfWJjFn//5zfjAB/4EPT0fgSCICAReRDg8i6ef/jruvPND6Om5I+77Mm+A9IrBgMEVq4KaJAEzM/l//+bmyp8h0KPYPIhMuRD+a7eq0VoPNTU1WQOIcuRBlFtvL3DlysrnkhTCX/3VUdx22xHceedfQhRXav0qih8vv/wYhoYW8MEPfjHmWVR4vX2w2y9gx44d2LFjB1wu19r9EEQZcJnA4Oz24qxh+nza3+FwEH19r0IQBAiCgO7uIxgbOw+/fw6KEkFHRzdaWzfFjavGpMRyW20eRGzQMDY2tpwH4fF4MD8/D1VVlwMIs9mcdSfGavMgyi22Toeqqvi7v/sj7N69HUePPgRRrIMkhTE7ewXr1m2Fogg4ffpX2L37t5Oep62tHuPji/jmN7+JoaEhLC4uAgBaW1uXA4SdO3dix44dqK2tXasfj4gzA7R6sgxMT2sfq6oCQAsEJiZGEAoFsGlTN0TRBFmW0Nv7Im644e648S0t+ksqpNxJkpRUDyLx49nZ2ZR5EJkSKdcyDyKb2N0E58+/iocffgc2bdoMQAtwPvzhx/GVr3wMS0tBqCqwZ8878d//+9MwmeJf2Kl2E6iqiunpaQwNDWFoaAgXL17E0NAQFhYWAADNzc3LAUL0T319fal/ZDIYBgO0aj5f6sSo8fFB2Gx2tLRohYbC4SCGhnqxe/eRuOOcTnZUMxpFUXKqB5EqDyJTANHc3FyyPIhy1OlQVRUejycuSBgaGsL8/DwAoKmpKWlGoaGhofCTJMNiMECr5vHE7x5YWPBicPAkZDmMfftuQ02NE+fP/xxzc5PYvn0/1q+P35pgtXKpgLJTVRWLi4tpEyhj60FEL2vRnQ/ZAohc8iD0WKcjGijEBgtzc3MAgMbGxrgZhZ07d5Zs9wdVPgYDtGrT06m7Ik5NXYLXO4nOTu12SJLCOH36R3jb2+6Ju/CazdpSAVEpxOZBpNuN4fP5lossCYIAk8mUMvfB6dyLpaXcczCiurvXvjfB7OwshoeHl4OEixcvwuv1AgAaGhqSZhSaGJEbGoMBWrXYmQFFiUAUtXXU2dkJzM5OYNu2fRBFExQlgtOnf4xDh34zbjxnBkhvYvMgEgOImprd2L79twCoSFVYaIX2dat1COvXB9HcrJ88iLm5uaQZhdnZWaiqirq6uqQZhaamporeQVKsXVPVjMEArVpszoDP58HwcC8EQYAomtDZefjakoEEVVXQ0dG1nEMQxZwBqjTxdTrSXUInMT9/BpOT/XHBRCgUWt6JAazkQWRaynA6nWv2Zjw/P78cKESDhZlr+4Zra2uTZhRaWlp0GyiUop5KtWIwQKsWu5ugENxNQJUqGAR+/ONfIxQyYcuWnXnfcUbzILLVg1hcXIwLIGpqarLuxKivry96symfz4fh4eG4GYXp6WmoqgqXyxW342Hnzp1obW0tS6Cgqvm3m45WWtVpXFNyDAaoKBKTCHPFJYLMKqnHg1F99atfRWNjI9797ndnP7hIlpaWsgYQ0UTC6CXebDbD7XZnTKRsbGyEucAX1uLiYtKMwuS1W3Kn04nt27fHzSisX7++ZIHC8HDhPVjWOrdDLxgMUFGwAmFxZerxEFUtPR4q3Wc+8xncdNNNePvb317uU8lIlmXMzs5m3I2RWA9CEATU19dnrUqZLQ/C7/cnzShcvXoVqqrCbrcnzSi0tbUVHChk2vXx3e/+HX70o78HoGLfvqP4kz95POn7VGt31mx4b0FFYbFovQby7U3AN7JkufZ4CIe1AIw9HsrL4/Ggubm53KeRldlsRmtrK1pbW3MeoygK5ufnk2YfLl26lLYehKqqcXkQsUHD5s2bcfDgwbg8iEAgsBwonDhxAv/yL/+CiYmJ5fLY27dvj0to3LBhQ8blj5GR1I/PzU3hhRf+Fp/73P+B2SzikUf+X1y48Et0dd2UNJ7BANEq2GzanT7vaAsnSfkFVIB2PGdYymdmZqYigoFCiKKIxsbG5ZoFuVBVdbmrZGzAcOHChbiZCH9CpbJoPYiWlhZ0d3ejqakJLpcLoVAI8/PzOH78OP71X/8VExMTUBQFNptteekhOqPgdrdjcjJ1oKAoc4hEZJjNRyCKPkjSAurrkwOjyUktF8RouwwYDFBRWSxaVM217sJEezwAgCyHcfbsK/D7fThw4A64XA0YGHgNs7MT2Lz5emzcuCtunBHvZvTA4/GwmE8MQRDgcrngcrmwZcuWnMfF5kFEg4apqam4ACLaF0MURSwtLeHUqVPo7e2FLMtYWlrC4cN/gNtv/yAEITkgaGjYhN/6rffggQc2wWQScccdv4O2ttQJApcvF6dnSyXhZZlKwmzmdsF8yXL8jIoomrFnz60YHj6z/Ni2bfvQ0LAOkUh8ladweGX/NK2tSCRScNIdraipqUF7ezva29tzHhPNg1jJedicNtfA7w/g9Olf4IknnobVasJnP/tF9PUdx/XXvyPFsQX/GBWLr2AinQgE4j8XRRFWa03cYzabI+N4BmBrT6977I0gMQ8iU/+I06efw7p1G7F+/XsQiXiwf/9PceHCL1MGA6kqqla74m5CJaKCSVJ5xxNVukwTNM3NGzA4eB7h8BIUxYzz50+hvb0z7+epVgb8kYn06Vpp/LKNp/xFIpGiF/ahwjmd6b+2e/c96Ol5Dg8+uAuiKGDfvjtx+PC9eT9PtWIwQKQTq31P4XvS2vN6vUwe1JGODmBwMPXXBEHEAw/8Ex54ILfnMRoGA0Q6YbEkb8l8442fYHFxDsGgD21tOxAM+jAzcwWqqmJpaRE7dhyIG09rq1JqDBiFxSJjfn4Y9fW7kLmJVHrr1hlvWyHAYIBINxyO5CzmvXt/I+m4bdv2px1Pa6uaawxUmgsXLuAjH/kI3ve+/wUgdS5ALrZtK945VRIGA0Q6YTZrBZkK7fFgxKSncpuZmUETCzyUlaIoeOqpp/DSSy/h7//+77Fx48ZV9SYw6n8nVxmJdKTQrYHcUlgenBkor8uXL+Pd7343TCYTvvOd72Djxo0AtLv77u78nivatdCoeC9BpCPs8VBZPB4POjsLn5KmwqiqimeffRZf//rX8fjjj2NXQrlAQdC6DzY0aL0G0tUeALQcgW3bjDsjEMVggEhn2OOhcnBmYO1NT0/jwQcfxN69e/H8889nrP7Y1KT9CQa1EsN+/0qlTqdT2zVgxGTBVBgMEOkQezxUBuYMrK3vf//7eOKJJ/DZz34WPT09OY+z243XayBfvJwQ6Rh7POjb7Ows6wysAZ/Ph49+9KNwu9144YUXUFNTk30Q5YUJhEREBVIUhU2KSuwnP/kJ7rvvPvzRH/0RPvOZzzAQKBG+iomISHeCwSD+8i//En6/H9/73vdQW1tb7lOqapwZICIqkKqq5T6FqnTq1CkcO3YMt99+O55++mkGAmuAMwNERAWIRCIwmUzlPo2qIkkSPv3pT+PChQv4xje+weTMNcSZASKiAni9Xrjd7nKfRtX49a9/jWPHjmHHjh149tlnGQisMc4MEBEVgDUGikNRFHzxi1/EK6+8gq9+9atob28v9ykZEmcG8iDLWiEYjweYntb+9vm0x4nIWFhjYPUuXbqE++67D2azGd/+9rcZCJQRZwZyIEnpq8GFw1pVK1aDIzIWzgwUTlVV/NM//RP+7d/+DU888QR27txZ7lMyPM4MZBEKATMz2TvJhcPacaHQ2pwXEZWXx+NhMFCAqakp/N7v/R7eeustPP/88wwEdIIzAxlIUn4NYwDt+OZmzhAQVbuZmRl0dXWV+zQqyve+9z08+eST+NznPof9+/eX+3QoBoOBDHw+7e9wOIi+vlchCAIEQUB39xEMDp6AJGnTBTt3HkRtrTtuHJcSiaobcwZyNz8/j49+9KNobm7GD37wA9hstnKfEiVgMJCGLK8sDVgsNvT0HIUgCJiYGMHExDB27DgIu92FQMCHoaFe7N176/LYcHilMxYRVSfmDOTmlVdewaOPPopHHnkEb3/728t9OpQG367SCARWPhaEldSKSESG01kPu921/DVBEFKOZ4MZourl9XrZpCiDYDCIv/iLv0AwGGQ54QrABMI0JCn+84UFL06d+hGuXBmMWxIYHu5FR0fyumHieCKqLoqisAJhGr/61a9w7Ngx3HHHHfjKV77CQKACcGYgDUWJ/7y2thEHD96JqalLGBvrR2fnDXjzzXOoq2tGQ0Nr1vFEVF3YlyCZJEn41Kc+hcHBQZYTrjCcGUhDjPmXUZTI8sdmswUmkwkTEyMIhQLYtKk763giomo3MDCAY8eOYdeuXSwnXIE4M5CGxbKSQLi4OIfh4V4IggBRNKGz82345S+fR22tG729L8Fud6Kr68ak8URUnWRZhpkZwgC05ZInn3yS5YQrHF/NaTgcWmVBAKira0JPz9G4r9966+9mHU9E1YlNijRjY2N48MEHcffdd+M73/lOymRqqgwMBtIwm7USw9kqD6ZitXJbIVE1M3qNAVVV8Y//+I/493//dzz55JPYsWNHuU+JVokr2xkUujWQWwqJqpuRawxEywlfvXoVL7zwAgOBKsH71wwsFsDtzq8ksdvNfAGiamfUvgTf/e538cUvfhF/+7d/i3379pX7dKiIGAxkYbNpvQbSdS2MYtdCIuOYmZlBa2vyluJqNT8/j4ceegitra0sJ1ylGAzkwGLReg3IslZZUJK0OgKiqH3N4WCOAJGRzMzMoLs79bbiavPyyy/jsccewyc+8Qnccsst5T4dKhG+heXBbGY+ABEZI2cgGAzi4YcfRigUwve//324XK5ynxKVEBMIiYjyVO05AydPnsSxY8dw11134ctf/jIDAQPgzAARUZ68Xi8aGhrKfRpFJ0kSPvnJT2JoaKgqyglzaTd3nBkgIspTNTYpGhgYwD333IOurq6KLycsSYDHA0xPa8Xjom3lw2Ht8+lp7etsKLeCsRERkYEpioLHH38cx48fxzPPPFPx5YRDody2g4fDwMyMth2cmyM4M0BEZFhjY2P47d/+bdjtdnz7299e80BAlrVt29G7eI9H+1yWC3s+ScqvLgygHc8ZAs4MEBHlRZblil8iUFUVX/va1/CNb3yjLOWEJSl97ZboVH4htVt8vtjnCaKv71UIggBBENDdfQRzc5MYHx+EKJqwa9chOJ31y+MqeFWkKBgMEBHlYXZ2tqLX0ycnJ/Hggw/iwIEDeOGFF9Y8sCnVNH40JyDKYrGhp+coBEHAxMQIJiaGMDNzBQcO3AlJWsLg4K+wZ887lr+XLBs7qdDAPzoRUf4quUnRd77zHTz11FNlKydc6DR+c3P2GYJAIP5zQVhZBY9EZDgcdbDZZiGKImw2BwIBX9J4I9eRYTBARJSHSqwxoJdywj5f9mPSjcsWf6Va919Y8GJw8CRkOYx9+27D2Fg/ZDmMUCiIYHARiqJAFMW0442EwQCRQXEPdmEqrfrgSy+9hE9+8pN49NFHcfPNNxf8PKt9vcRO4/t8HgwNnYIgiLDZ7OjqugkXLryO2dkJbN58PTZu3BU3NpdpfEVJfqy2thEHD96JqalLGBvrx7Zt+3Du3M9QU+NAXV3TciCQbryR8FeeyGBKlbxlFDMzM1i/fn25TyOrQCCAhx9+GJIkraqccLFeL7HT+DabA/v2vRMmkxkjI2cwMzOObdv2oaFhHSKR1FsJsk3jiwl74xQlAlHU8iHMZgtMJhOamjagqWkDAgEfLl++kHG80TAYIDIQ7sFevZmZGVx33XXlPo2MTpw4gY9//OP42Mc+hrvvvrvg5ynm6yV2Gt5msy9/LAgmCIIAm82R8Xtkm8a3WOIDlsXFOQwP90IQBIiiCZ2dh3Hx4in4/XMwm23YteuGpPFGxmCAyCBKmbxlJHrOGZAkCY899hhGRkbwzW9+E263exXPVdzXS6pp+KUlP7zeCWzenD24yjaN73BosxRRdXVN6Ok5GnfMzp0HM443MoNPjBAZx2qSt2iFXnMG+vv7cc8996C7uxv//M//vKpAAFj5f/f5PDh9+kfo7X0R/f0/hyxLOHPmJfT2vogzZ17C0pI/5bhEidPwsixhYOA1dHXdGLd2n062Q8xmbbmiEFYr82QM/uMTGUPiHuxYk5OjGBo6jZtv/i8pv8492PH01qQoWk74Zz/7Gb72ta9hw4YNq37O2NdLqvX97u6bYLM5MDs7gUuXBrBr16HlseleL7HT+IqioL//59iy5Xo4HLnt58tldqquTluuyJeRtxRGcWaAyAAS92BHqaqC6enLWddr0403IlVVc7qTXQujo6O499574XA48K1vfasogQCQmOxnh8mkvbMLggkmk3n59SIIIgRByDg+KnYafmpqDD6fB6Oj59Hb+xKmpsYwMnIGly8P4MqVQQwNnc44Ph2LRctbyIfbzWUwgDMDRIaQLvlqcnIMLS0dSZnVuY6n8lBVFc888wyee+65kpQTTvX/nbi+rygRjI6eQ2fn4ZzGR6fxw2Fg/fqtWL9+a9zXW1s3Y9u2/SnPJ59pfJtNy1tItwMi9jm5Y2aFPsJbIiqpVMlX0VmB1tbNBY2n8picnMT999+P6elpvPDCCyXpK5D4/51qff/ChZNob98Jh6M26/ioQqfj8x1nsWhFilpaAKdzJZiwWrXPW1q0rzMQWMGZASIDSDWrPTk5ipaWjpTTvLmMNyJJkmAuY/LEt7/9bXzpS1/C5z//eezdu7dk3yf2/zvV+v7o6DnY7a60gWS610t0Gj+fXQqrmcY3m5kPkCsGA0QGkLgHGwD8fh8WF72YnBxFMLiAixdPpd16xTsozezs7Kqz9AsxNzeHhx56CG1tbWtSTjj29RK7vj86eh5tbVsxOnoe9fUt8HonUV/flDS9n+n1wml8fWIwQGQAiXuwAWD79v3LH//qV//JPdg5KEeNgRdffBGf+tSn8Nhjj+HIkSNr8j1jXy+p1vfXr9+WcfzSkpY3kK5ccXQanyWx9YP/3EQGEJu8lcqhQ3elHcs92CvWssZAIBDAxz/+cUQikVWVEy5EttdLNpGI9idbuWJO4+sHVwKJDGKtkreq2VoFAydOnMCxY8fwrne9C0899dSaBgJRxfx/j5YrDoWK95xUXIz3iQxirZO3qtHMzAza2tpK9vySJOHRRx/F6OjoqssJr1Yhr5dsWN5avxgMUFFw7a8yMHlrdTweD/bs2VOS5z5//jweeughvP/978cnPvGJknyPfOX6egmHg+jrexWCIEAQBHR3H0F//y8AqAAEtLVtW8478Pm0fAHSF16maVXYDrfyMHmrcKVYJlAUBV/4whfw6quvFq2ccDGler1EcwJWjrGhp+coBEHAxMQIJiaGAQB79twKszn+F5/lrfWJOQNUsFBIWwfMlmTE9UJ9iiZvRYuzNDVpn/MinV6xg4FoOWGXy1XUcsKlEPt6qamJ/1psWeJIRIbTWQ9BAM6d+ynOnTue1MyI5a31h7/2VBC2wyUjmpubQ319/aqfJ1pO+Jvf/CaefPJJbN++vQhnt3ZSlRteWPBicPAkZDmMfftuw3XX3QKLxYa5uSlcvHgKe/a8I+N4Ki/ODFBBom1KZTmMU6f+E8ePP4fFxbmC25sSVYJiNCm6evUq7r//fszMzOD555+vuEAASF1uuLa2EQcP3omtW/dibKwfFotWGKmhoRWhUDDreCovzgxQ3mLbm4qiGXv23Irh4TMAtOnCQtqbEhnBt771LXz5y18ueTnhUkuMhxQlAlE0AQDMZgtMJhNkWYLZbIHfPw9LwnQgy1vrDy/JlLfY9T5RFGG1riwgmkwmmEzZ25ty7zoZydzcHP70T/8UGzZsWJNywqWWWN56cXEOw8O9EAQBomhCZ+dhnDnzMkwmLUBIrG7JpUL9YTBAectlvS/f9qZEeldok6JylBMutcTy1nV1TejpORp3TKaqlixvrT8MBihvuaz3FdLelEjPZmdn0ZTHBvlAIIA///M/h6IoeP755+F0Okt4dmtrNeWKWd5an7hyQ3nLtt5XaHtTIj0KBoHBQaC/34ZbbvlT9PZqnweD6ce8/vrrOHbsGI4dO4annnqqqgKBKJa3ri6CqqpquU+CKovPFz9F+MYbP8Hi4hxqahxwuzdgdLQP9fUtAJCyvanTyQsC6Z/HA4yMAJOT0Ueil8qVPJh164Bt21Yq6oXDYTz66KMYGxvD448/jsbGxrU85TUXCuVf3rrC0yWqFoMBypssA9PThY9vaeE0IemXqmpBwMBA7mO6u4Fg8DweeuhP8cd//Me4//77S3eCOpOpCmkUq5DqH4MBKojHU/h6IeuSk54ND+cXCESdOPE1/I//cVdJGxnpGctbVzYGA1QQSdJKDOeLFQhJzzwe4LXXtK1yf/3XRxGJyIhEZNx770dw111/jJ/+9F/x3HOfgqqq2Lz5ejz00D8uF9cBgJtuYrBLlYnBABWM64VUbU6e1HIEIpEIwuE5KMpphEJL+LM/+xN8/vMn8eEPH8RnPvNF1NbW48knH8dNN70Xt976nuXx69YBN9xQxh+AqEDM66aCRdubWq2Zj7NateMYCJCeBYMryYImkwk1NY1wOI7CYrkZgAnh8AhUVYIoHoTN9k4EgzNobFwf9xyTk5l3GRDpFVdyaFXYDpeqxeXL8Z/7/T48/PCteOuti/jDP/wYGhu34oEH/hcefLAHFksNrrtuN/buvS3l8+zatUYnTVQknBmgoqikdriyrGU/ezzargiPR/tclst9ZlRO/vieWnC5GvCFL/wETzzxDI4ffw4LCxJefvnH+N//+3P40pe+DEFw4pVXns36PESVgMEAGYYkrQQAfv9K06RwWPs8GhiwXLIxpQoGTaZGtLf/LrZuPYgf//gLEAQ/Nm/+Q9TW/jZuuKEHAwM/y+l5iPSOwQAZQiik7X7Ith0yHNaOC4XW5rxIP2JnsbzeSfj9cwAAv38e/f0nsWPHHoyNjWJxcQGCYEJf3xm0t+/M+DxElYIvW6p6kpTfrgdAO57bII0ltmLw9PQYnnzy/VCUAAAVd911H3p63ovf+Z238Gd/dgAmkwmbNnXh7rv/Z8bnIaoU3FpIVS9VgSSfz4OhoVMQBBE2mx1dXTdBTGiawAJJxhIMAi+9tPrnuf12wG5f/fMQrSXODFBVi+YEJLLZHNi3750wmcwYGTmDmZlxtLZuijsmmlPAad/8VeLuErtdqxOw0osgf+vWMRCgyqTTX0ui4ggEUj9us61csQXBBEEQUh4XCLCpUj4y1amPJmrquU79tm2rCwa2bSveuRCtJSYQUlXLtjNgackPr3cCTU3tBY2nFdWQpNnUpDUdKkR3N5eVqHIxGKCqpijpvybLEgYGXkNX141J+QK5jKcVhSZp6jHY2rYt/4Cgu5uzAlTZuExAVS3NezwURUF//8+xZcv1cDjSrwOkG0/xfD7t73A4iL6+VyEIAgRBQHf3EQwOnoQsSwBU+P1zuOWW/xo3Tm9304IAbN8ONDRorYwzLRusW6cFAXr7GYjyxd0EVNV8vtQV4a5efRNDQ6fhdDYAANrbd6C1dXPScU4ncwaykWWtYBMAqKoCQAsEJiZGEAoFsGXL9QC0vfuTk2+iq+vGuPEtLfpNKgS0XQaXL2uvo2hCqdMJdHQwWZCqh45/BYlWz+FIHQysX78V69dvzWk8ZRabpCkIK1MpkYgMp7N++fPp6ctoaYnfsREdr+eAy25nrwGqfpwEpapmNmfvqpiO1arvO1a9SFz3X1jw4tSpH+HKlUHU1roBAKqqYm5uMqnLX6rxRLT2GAxQxcvWeKjQu049363qSWKSZW1tIw4evBNbt+7F2Fg/AGB+fhp1dU0pEzWZpElUfrzvoYqVz552tzu/bHe3W5/74PUo9v1dUSIQRRMAwGy2wGTSPp6aupRyiSBxPBGVB4MBqkihUG5v7tE97W631msgXfAQpeeCOHplsaz8my4uzmF4uBeCIEAUTejsPHxtiWAKO3YcSDueiMqLuwmo4kiS9gafr2jjoUoslatnsbsJCqH33QRERsBfQao4mfa0j49fwOTkKFpbN2PHjp6kcU1N2hsP8wGKJ5qkma3yYCpM0iTSB84MUEXJtqe9rW07AgEfPJ63koIBgHehpbLa2RoiKi+m7lBFSdzTHm0wFN3THtuAKNt4Kh6LRcvLyAeTNIn0g8EAVZRc9rTnM56Kx2bT7vSz1XWwWrXjbLa1OS8iyo4TplRR0u1pn5q6hLGxfnR23pDXeCoui0XLy2CSJlFl4a8lVZRc9rTnOp5Kh0maRJWFwQBVlGx72sfHL+Dq1TchSSGEwwHs3n1z0ngiIorH3QRUUbinnYio+DhpShWFjYeIiIqPwQBVHDYeIiIqLgYDVHG4p52IqLiYM0AVK1PXwig2HiIiyo7BAFU87mknIlodBgNEREQGx5wBIoNRWYaRiBJwEpWoygVOn8bMM89g8Wc/w1J/P1RJgmCxoGb3brje/nY0v+99cBw4UO7TJKIy4jIBUZVaGhrC2Pvfj8Xjx7XkCVlOPuja4653vAOb/+EfULNjx9qfKBGVHYMBogqgqgoEIfdVvdmvfx2jDzwANRJJHQQkMpshmEzY8swzcL/nPas4UyKqRAwGiHRoaf7X8F3+PgKeXoQX3wRUGRDMsLq2wtHUg7qOe1FT35Vy7OzXv4433/teoJBfbUHA1mefhfv3f3+VPwERVRIGA0Q6EvZfxuTZTyA42wsIJkCNJB907XG7uwfr9v0NrM6O5S8tXbyI/j17oIZCBZ+DYLNhd18flwyIDIS7CYh0wnflhxj76f0Iet/QHkgVCMQ8HvS+gbGf3g/flR8uf2nsAx/QlgZWQY1EMPb+96/qOYiosnBmgEgHfFd+iKu9f1Xw+PU9j8F0tQW/PnQo7TEeAJ8H8AsAYQC7AXwYwJ40x3efOsVdBkQGwZkBojILL17C5NlHVvUck2cfwfQ3vpy25KIK4GMAfgTgPgD/N4CLAP4ngJlUA8xmzDzzzKrOiYgqB4MBojKbfONRqGrqQkCSrE3c/cHDF+I+T6SqCpY2nk67c+BXAN4AcBeAjwD4vwA8CMAP4LlUA2QZi6++mvsPQUQVjUWHiMpoaW5ASxZM4I+sx+Wl2/D0M9+G1RTBYkDBR5+qg6ou4YMP3Ic26+uoM4+tDFAjELeKELfboQwHk55v+NrfsUsC+679PZLu3M6fL+RHIqIKxJkBojLyjT+v7Q5IYBUWsMvxHD7/oSXMzc2ifySA2VkPPv+hEDod34gPBK5RZRWW25vzPod0VQhUSWLpYiKDYDBAVEYBT2/KXQMW0Q9RkPHo05fhbnBg19YGNDQ24KNP2TASfBdktSZpjGAWYNrtSvl9tl37eyDmsWt7FrArzbkJFgsEkZcIIiPgMgFRGYUX38z49Y++rxvj8r147LFH8LkPRaDIS1jAKN4KHcGmmpeTjhc3JQcJAHADgOsA/AeAZgCNAP4eQC2A/5Lme9dcd13OPwcRVTYGA0RloqqKVlkwjYhqxZXIMWyx/xDPfnoXgCXAIqJRHcSMlHpDoGARAQHa9oHYxwH8LbSthd8CsADAAeD/AFiX6onMZrhuuSXvn4mIKhPnAInKRBBEQEizFVAVMBK8B23W11AjeqGoIhRVyy1YiLTDJsylHicpSYFAVDOATwF4BVpgEARwLt3JyTKa3/e+nH8WIqpsnBkgKiOrayvCCxeTHp+Vu+CPtGEifCMmwjeixXIWk+EbIAoSBESwpeY/Uz/hrDl9h8IYtwJ4BMAkAAmAJfaLZjNcR46w4BCRgTAYMAhZBgIBQJIARQFEEbBYAIcjbZ0aWgOOph6EF0eSkgibLANosgzEPea2XMj8ZIIJtZ1H4Te9ATWHToXvSvs0Jmz+h3/IOp6oWvD6yGWCqidJgMcDTE8Dfj8QDmsv/HBY+3x6Wvu6JJX7TI2pruPe9D0I8qVG4N7zB9jyzDOAIBT2HIKALc88wyZFZAi8Pq5gMFDFQiFgZkZ7YWcSDmvHraLRHRWopr4LdndPyloDeRFMsLt7UFPfBfd73oOtzz4LwWbL/bbGbIZgs2Hrv/wL3O95z+rOhagC8PoYj8FAlZIkYHY2vzGzs8aIgPVm3b6/0ZIJV0EQRKzb9zfLn7t///exu68PriNHtAfSBQXXHnfdfDN29/UxECBD4PUxGbsWVimPJzrlFcbZs6/A7/fhwIE74HI1YGkpgIsXf4VIREJ9fSu2bl3Zpma1Ak1NZTxxgypG18K69t9M+bXA6dOYeeYZLL76KpbOn4cqSRAsFtRcdx1ct9yC5ve9j8mCZCjR62OsYHARp0//CA5HPQDguutuhtUaX7ejmq+PDAaqkCxra10AoCgKZDmM4eEz6OjogsvVgP7+n2P79h7YbI6U41tajJM0oye+Kz/E5NlHrtUfyCGPQDBdmxH4f9IGAqmoisLKgmRYsdfHWMHgIoaHz+D66zPX16jW6yOvCFUoEFj5WBTFuOhWURQsLfkxNNSLM2dewvx88m9F7HhaO3Xtv4nNt34D9sa92gPp8giuPW5v3IfNt34jr0AAAAMBMrRM1zefbxq9vS9iZOQs0t0nV+v1sQrjG8q0riVJISwuzmH37pshCCL6+o7j4MG7ch5PpWV1dqDjyP+Hpflfw3f5+wjOnkFoYUSrVCiYYavdBrt7P+o67kVNfVe5T5eo4qS7vtlsdhw+/FsQRRMuXDiBmZlxtLR05Dy+0jEYqEKZGs2ZzRbY7S7U1DgBaIlniqJAjLlbZKO68qup74p7s1dVZdVJhkSU/vomiiszcS0tHfD5ZlIGA9V6feTVpQplmgU2mcwwm22QpDAiERmKEokLBLKNp/JgIEBUHOmub7K8css/Pz8Fu702r/GVjjMDVchiic+UfeONn2BxcQ7BoA9tbTuwbdte9PUdh6Io2LIlueGNxZL0EBFRVUi8PkbNz0/jzTffgMlkRk2NE1u27E07vhpxN0EVSpctmyu9ZMuyRCgRFVu1XB+LrQp/JDKbtf2w2SprpWK1lv+FLkmAz5f6/KNlQq1WoK6ueqN0IiqNSr8+lkqVrn5QXd3ajisWlgglolKr1OtjKTEYqFIWC+B25zfG7S7vnTZLhBLRWqjE62OpMWegymWaco/Sy5R7tERoOBxEX9+rEAQBgiCgu/sIgsFFjIycAQDs2nUDXK6G5XFrWSKUeQxE1aOSro+lxmDAIPT+Jhab1KOqCgAtEJiYGEEoFIDXexXXX/8ORCISBgdPYu/e34gbX+qkHl40iKqX3q+Pa8EgPyaZzfpe74ot8Rm7pz4SkWG3uzA3J8BiscJisUKSkt+RA4HS/XyhUG7LF9E8BrcbsNlKcy5EVHx6vz6uBeYMkC4krvsvLHhx6tSPcOXKIOrrW2AyrdxuC4IARYlkHF/M82IeAxFVO84MkC4klvisrW3EwYN3YmrqEsbGziMSWXl3VVU1rnRoqvHF4vMlP5Yqp8FmsyeNq9ZWp0RUfRgMkC7ElvjUSiRrb/ZmswUmkxmqql4roSzBYrFmHF8sspw6R8BisaGn5+hyTsPExDC2bLk+7phwWBtvlPVGIqpsvFSRLsSWCF1cnMPwcC8EQYAomtDZeRjB4ALOnfspAGDXrkMpxxdbulaliTkNTmd92vFGX4ckosrA3QSkC3osERrd6pjKwoIXg4MnIcth7Nt323IXyFhrueWRiGg1GAyQbmR6882kVG+609NakJLJ1NQleL2T6Oy8IelrZrMWpBAR6R13E5Bu6K1EaLo8hNidDFpOgynlcdXa6pSIqg9zBkg3oiVC89nKV8oSoelanabKaUg3nkiPWGSHEnGZgHRHL9X+9JjHQLQaevndIv1hMEC6pYe7F73lMRAVKtdKmlGspGksDAaIMpAkrcRwvpqbeWdF+sHXMWXDYIAoC95RUaWLneGS5TDOnn0Ffr8PBw7cAZerAVeuDOLq1TcBAJs27UZLSwcAznAZCVc0ibKw2bQ7JK61UqmVYmkssZKmKJqxZ8+tGB4+s/zYlSsXcejQ3VBVBb29Ly4HA6ykaRz8LybKgcWi3SHpIY+Bqk+mxL5wGPD7Cw82EytpiqIIq7Um7jG73QVFiUBRZJjN8eW+WUnTGHj5IsoDW51SsZW6RXYuHTTd7g04ceIHANSkrbLswGkMDAaIiMqk0BbZ+ST2ZevoKcsS3nprCIcPH4OqKjhz5mW43W0QBCGn8VQdWCONiKhMUrXIluUwTp36Txw//hwWF+dyHpdOLpUwRdF07Y8ZqqokfC3370WVizMDRERlkK5FdqoEv0T5JPalqqT5xhs/weLiHIJBH9radqClZSNOn/4xABUbNuxcnhWIjqfqx2CAiKgM0rXITpXgl258LvkrDoeWgBhr797fSDpu06bdacdT9eMEEBFRGaw2MS/X8WazthOhEFYrd8kYBYMBIqIyWG1iXj7j9dYRlPSHwQARURmsNjEvn/HRjqD5KGVHUNIfTgAREZVBuhbZQHKCX1vbtpTj88FKmpQJexMQEZVBOVtks5ImJeJ/OxFRGUQT+wptkb2aN21W0qREDAbWEKNxIopVV1dYa2G+kVOxcZlgDWRqQhLFdToiY2KLbNIDBgMlxl90IsqGNwxUblUTDOhxCl6SCpsCzKcJCRFVDz1ex8gYKj4Y0HNE7fEUnhzU1FT88yEiIkqlomPNUvcBX43YJiQ+nwdDQ6cgCCJsNju6um7ClSsXMD09DpPJjK6uG2Gz2ePON9cmJERERKtVsTMDep+C9/lWmoOEQkGYzRaYTGaMjJyBw1GPq1dHsG/fO7GwMIurV0ewa9cNceOdTmYMExHR2qjYe89oP+9wOIi+vlchCAIEQUB39xGIogkXL55EOLwEu70WnZ1vixu3FlPwsU1EYu/6BcGEcDgIp7MegiDA5WrE/Hxy5ZHVNjEhIiLKVUUGA7FT8BaLDT09RyEIAiYmRjAxMQxJCqGjoxu1tcnFuNdqCj5VE5GlJT+83glcf/070Nd3HIoSgdc7CUlKTixYbRMTIiKiXFVkMBDbB1wQVrp1RCIynM56jI9fwFtvRRAILGDjxk60tGxMGl/qKfjEJiKyLGFg4DV0dd0Iq7UGGzbsxNmzr8DlaoTDkXwyq21iQkRElKuKDAYSp9AXFrwYHDwJWQ5j377b4PN5sH17DxyOOpw58xLc7jaYTKa040shtgmJoijo7/85tmy5fvmNf/36rVi/fiu83klYLMlZjdxaSEREa6Uig4HEKfTa2kYcPHgnpqYuYWysHzabA3V1WmKAw1GLcDgAu7027fhScDhWEginpsbg83kwOnoeo6Pn0d6+A9PT45CkJdTUOLFz56GU44mIiNZCRQYDsVPoihKBKGp3/VrGvgkuVwMCgQXY7U4Eg4uwWu1px5dKbBOS6CxArNbWzWnHrrYJCRERUT4q8i0ndgp+cXEOw8O9EAQBomhCZ+dhRCISBgdPIBKJoK1tO0wmc9L4tcAmJEREVAkqss5AOfuA54u9CYiISO8qcmagnH3A82WzaYWO9FoymYiIclPNvSMqcmYA0H8FwlSq+YVERFSt9NwDp1gqNhgAOAVPRESlZZT3mYoOBgBjRGxERLT2KnEGulAVHwxEcQqeiIiKKdqGPrHz7K5db8O5c8cBAIoiQ1UVHDp09/K4SmxDXzXBABERUbHE7lpL7DzrcrnR2roJADAxMYJQyI8tW/bEjV/LXWvFwAr4RERECWJ74Nhs9uV6NYJggiAIy1+bnr6MlpZNGcdXAgYDRERECVL1sIl2nm1qar92THi5JX0u4/WMwQAREVGCxB42sZ1nxWs17T2ecTQ3b0wxuvLa0DMYICIiShDfAye58ywATE2lXiJIHF8JKux0iYiISi92a2Bs59ne3pcwNTUGWQ4jHF6C05m6mQy3FhIREVW4SuqBUwycGSAiIkoQ7YFTiEpsQ89ggIiIKIVC28lXYht6BgNEREQpWCxar4F8uN2Vly8AMGeAiIgoIyP0wGEwQERElINq7oHDYICIiMjgKjyWISLKrprv6IiKgTMDRFS1jLDWS1QMDAaIqCqFQsDsbO7Hu92AzVa68yHSM24tJKKqI0n5BQKAdnyldZojKhaulhFR1fH5kh9TVQUDA79EOBxETY0Tu3a9bbn7XOy4pqY1OkkiHeHMABFVFVlOnSMwPT0Ou92F/ftvh8NRh5mZ8aRjwmFtPJHRMBggoqoSCKR+fGlpES5XIwDA5XJjbm4qr/FE1YzBABFVlXTr/g5HPbzeSQCA13sVspx6iwHzBsiIGAwQUVVRlNSPNzVtgCiKOHPmJSiKDKu1Jq/xRNWMCYREVFXENLc4giBgx44DAIA33zyHxsZ1eY0nqmYMBoioqlgsqRMIQ6EgBgZ+AUBAY+M6NDS0ph1PZDQsOkREVUWWgenpwse3tLBEMRkPJ8SIqKqYzVqJ4UJYrQwEyJgYDBBR1amrW9txRJWOwQARVR2LRes1kA+3m/kCZFzMGSCiqsWuhZWJLafXHoMBIqp6fHOpDAzeyofBABEVHd98KV9sOV1eDAaIqGh4Z0eFkCRgZib/cc3NfB0VC4OBIuBdEBHv7KhwHk/mADIdq5Utp4uFwcAq8C6ISMM7O0qU601SYpEon8+DoaFTEAQRNpsdXV03YWJiCFevvgkA2LRpN1paOpaPZ5Go4mAwUCDeBRGtiN7ZyXIYZ8++Ar/fhwMH7oDL1QAAWFry4/XXX8DBg3ctPwbwzq4a5XuT5PMBfv/K10KhIMxmC0wmM0ZGzsDlcmN09BwOHbobqqqgt/dFHDr0m8vHO52sD1EMrDNQAEnKLxAAtOPZGpWqkSyvXPhF0Yw9e26Nu3MDgEuXBlBf35w0Vgsg1uIsaS2EQtoMUbYp/3BYOy4USr4u2mx2mEzarb4gmCAIAux2FxQlgkhEgtkcX16S19Xi4ORKAXy+6N/J01nh8BIuXvwVIhEJ9fWt2Lp1T9w43gVRtQkEVj4WRTGpNXAwuAgAsNmcaccX886OOTzlUehNksmU+mtLS354vRPYvPk6hMNLOHHiBwBUdHYejjuOLaeLg78aeYq9C7LZHNi3753L01kzM+OYmbmMXbsOwWZzJI2N3gXxgkTVJNud2aVLA9i0qRujo30Fjc/nPNJNT4fD2lQ0c3hKJ3qTBKReLurr+xkkKQRFUbB9+/7lrpGp3sxlWcLAwGvo6roRihLBW28N4fDhY1BVBWfOvAy3uw2CIABgy+li4dtSnmLvgmw2+/LHgmACoGJpyY+hoV5I0hK2bt2L+vqWpPFc36JqkunOLBhcAADY7a6Cxucq1xye6PQ0c3iKK/YmCVhZLhoePrP82O7dRyCKJgSDi7hw4QT2738nACAxa01RFPT3/xxbtlwPh6MOsixBFE0QRRNUVYSqxr9gGNgVB2OqPKW6i4lOZ9XVNWNxcQ7bt+9Hd/cRDA2dzmk8USXLdGe2uDiHQGAeZ8++Aq/3KgYHTyISieQ8PhfM4Sm/2JskIPVykShq6wGRiAynsz7tc01NjcHn82B09Dx6e1/C7OxbaGnZiNOnf4ze3h9jw4ady7MCgLb8Q6vHmYE8Jd7FxE5nWSw22O0u1NRoa6OCIEJRFIgxVzuub1G1sVji7wrfeOMnWFycQzDoQ1vbDvT0HAUADAz8Eh0dXTAlLBKv9s4u2/T01NQljI9fgCia0NV1I2pqHMvjmMNTHLkGVr29LyIQWEB3941xjwvCygzB+vVbsX791qSxmzbtTnqMLaeLh/+MeYq9i0mczgIAs9kGSQpDFEUoSiQuEEgcT1QNHI74rWF79/5GyuMS3wBixxcq2/S0oigYH/819u+/HQsLsxgb60Nn59sAMIenmHK9yenpOYqlJT/6+o7D7W5bflwUgYQJo5xwybV4+GuQp9i7oNjprNHR82hv34Ft2/air+84FEXBli17Uo4nqiZms3aHVmgFudW8GWebng4GF+Bw1EEUTaivb8HwcG/SeL6hrF62mxxVVaGqKkRRhMlkhskUfyE0mYD6+vxrt/B6WjwMBvIUexeUbjorOi2abjxRtamrK6wC4WrfiLNNT8tyOO6NJ7HGGvMGiiNxqQiIXy5at24rpqYuXfuKiq1b9yaNt9m0ipSs6loeDAbyVM67IKps1bz/3WLR7tTW+s4u2/S02WxFJLLyjh+beJbLeMpN4lIRkLxc1N6+M+N4QHs9NDVV9++KXvGftQDluguiymSU/e/luLPLNj1tt9ciEPBBUSJYWJiF09mQ13jKTbFvksxmXi/XGnsTFIi9CSgXRn2drNWdXWJde2BlerqmxoG2th0wmUwYHx+EKIrXdhOsVEJkXfviYbOqysZgYBXK1bWQU2iVgRfH0kvseJcvdrzLXS7XHaMGv9WAwUARrNWbM1smV5Z0Pdq93kmMjZ0HoKK9fVdSUx928stPun/nbPjvnJt8rzu8TlUmBgMVghF3ZUl3xxqJyOjv/zmuu+6W5YpsqfCONXecgSmd1Vx3OINZWRgMVABe7CpPqrVsAPB6r+Ktt4YgyxJMJjN27jwU1+MiimvZ+WGwXHxrcd1hwKAf/OeuANFyq6lKrb7++vOwWrV9OZs3746r6sVyq+WTbv96OLyEYHARBw7cAa93EqOjfejsvCHn8ZQa96gXX2yZ51jDw2fg882gpsaJzs7DSVVWc7nuGGWHTSVhMKBzseVWU3UCM5ms6Om5PeVYllstn3T7181mK+rrmyGKJjQ2rsOlS/15jaf0uEe9eBLLPEctLnoRCgXQ03MUY2PnMT19CevWbYk7Jtt1hx0m9Ym7bHUuttxqqk5gkYiE3t4X0d//C0hSKON4Wjvp9q/X1jbB7/dBVVUsLnrjtrnlMp6yi+5Rb2rSci+amrTPGQjkLt11Y35+Znn20e1uw/x86nWEdOPZYVK/+Ouhc9l+CQ4cuAMWiw1Xr76J0dFz2LnzUF7jqTRSlWcFAKvVhpaWjThz5iUAQFfX4bTjicol3XVDlsOwWrUcF5PJAllOvSaTbnx06cHn82Bo6BQEQYTNZkdX100QRRFLS368/voLOHjwLrhcDXHjuORZWgwGdC7bdLHFos2ftbR0YGJiOO/xVBqpyrNGtbfvQnv7rqzjicol0zJXtLxzJCLBbLbmPD526cFmc2DfvnfCZDJjZOQMZmbG0dq6CZcuDaC+vjlpLJc8S4+TkTqXabpYUSJQFK3v5/z8NOx2V17jqXSi5VkLwR4WVG7prht1dc3weq8CAGZnJ1K+cacbH7t0YLPZYTJpL3JBMEEQBASDi9e+lnrpjEuepcVLjs4lTjfHdgJrbt6IqalLMJnMEEURnZ3JU86cbi4f9rAwrkpPYky3zFVb2wirtQa9vS/CZnOgo6Mr7fhEqZYOlpb88HonsHnzdbh48RQ2berG6GhfyufkkmdpVcDL0tgSp5sTO4Ft2rQ763gqj3J18qPyqZYtc5mWubZv78lpfKLEpQNZljAw8Bq6um5EKKR9s1Szm+nGU3FxElnnON1c2aL737P9H1qt2nHcQlW5QiFtJihbaeTolrlQ8uYf3SjFdSd26UBRFPT3/xxbtlwPh6MOi4tzCATmcfbsK/B6r2Jw8CQikUja8VR8rEBYAViBsDpU+tQxpVeNv6PF/pliq3JevfomhoZOL7eUbm/fgdbWzQCAgYFfoqOjK243AcCqnKXGYKBCsNwqlQqDlNWLNktKtWVuZmYc4+MXIIqmay2UV+bQ9d4sqZjXHXaY1DcGAxWE3cComPh6Ko7YN7lQKAiz2bK8Zc7lcmN8/NfYv/92LCzM4urVN9HZ+ba48Xp/kyvm64QdJvVLxy9BSsRyq1QsLAlbPIlb5qIEwYRgcAEORx1E0YT6+hYMD/emHK/n6e9iXne4w0a/+NZRgaLlVokKUWhJWD2vb5dTpi1z27btRzi8tPx4qonYStkyV4zrDnfY6BfzM4kMJl03ulKNq3aZtsxZLLblin0AIAhC1vHVjjts9IkzA0QGktiNLlVb7MuXBzA9PQ6TyYyurhuXp75ZEja1TFvmFEVBIOCDokSwsDC7nD2fbrxRcMlTf5hASGQgsdu7AO3NS5bDGB4+g46OLlgsNgwM/AL79r3zWsLbCHbtumH5eG7vSpZtyxwAjI8PQhTFa7sJ4svt8t+U9ICxF5GBJK5PJ7bFDoX8cDrrIQgCXK5GzM9PZxxP8dX61q/fivXrtyYdE91Dn248UbkZcIKKyLiyrU/X1NRiYWEWihKB13sVkhS/D8xo69u5YJVQqgYMBogMJNv6tNVqw4YNO3H27CuYnZ2AwxE/f23E9e1cFDrNz+UB0gvGpEQGkq4bXazoVLfXOwmLJT6Vm1u8UuOWOap0DAaIDCRVN7rYtthtbTswOzsBSVpCTY0TO3ceShpPqUW3zLGqI1Ui7iYgMhiWhC09bpmjSsNggMhgqrHDHhGtDoMBIgNiF0yqBJxhWTsMBogMil0LSa/42lx7DAaIDI53X6QnnLUqDwYDRESkC8xnKR/G/UREpAuxnTHD4SD6+l6FIAgQBAHd3Udgs9khyxJef/15dHYeRnNz+/I47nRZHQYDRERUdokdNS0WG3p6jkIQBExMjGBiYhhbtlyPK1cG4XI1xo1lR83VY3FRIiIqu0Ag/nNBECEIAgAgEpHhdNZDliX4/XOoq2vOOp7yw2CAiIjKLlVHzIUFL06d+hGuXBlEba0b4+MX0N6+K+fxlDsGA0REVHapOmLW1jbi4ME7sXXrXoyOnsPi4hzq61tyHk+54woLERGVXWJHTEWJQBRNAACz2YKlJT8ikQjOnn0FweAiPJ4rcLkaUFPjTDme8sNggIiIyi6xo+bi4hyGh3shCAJE0bS8mwAA3nzzHGpr3cuBQHQ8FY51BoiIqOxkGZieLnx8Swt3E6wGJ1aIiKjszGatxHAhrFYGAqvFYICIiHShrm5tx9EKBgNERKQLFovWayAfbjfzBYqBOQNERKQr7Fq49hgMEBGRLrGj5tphMEBERGRwzBkgIiIyOAYDREREBsdggIiIyOAYDBARERkcgwEiIiKDYzBARERkcAwGiIiIDI7BABERkcExGCAiIjI4BgNEREQGx2CAiIjI4BgMEBERGRyDASIiIoNjMEBERGRwDAaIiIgMjsEAERGRwTEYICIiMjgGA0RERAbHYICIiMjgGAwQEREZHIMBIiIig2MwQEREZHAMBoiIiAyOwQAREZHBMRggIiIyOAYDREREBsdggIiIyOAYDBARERkcgwEiIiKDYzBARERkcAwGiIiIDI7BABERkcH9/+2NfmXmYqG5AAAAAElFTkSuQmCC", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "layer_i = 2\n" + ] + }, + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "layer_i = 1\n" + ] + }, + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "layer_i = 0\n" + ] + }, + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "GraphArray = construct_HNSW(vec_pos,m_nearest_neighbor)\n", + "\n", + "for layer_i in range(len(GraphArray)-1,-1,-1):\n", + " fig, axs = plt.subplots()\n", + "\n", + " print(\"layer_i = \", layer_i)\n", + " \n", + " if layer_i>0:\n", + " pos_layer_0 = nx.get_node_attributes(GraphArray[0],'pos')\n", + " nx.draw(GraphArray[0], pos_layer_0, with_labels=True, node_size=120, node_color=[[0.9,0.9,1]], width=0.0, font_size=6, font_color=(0.65,0.65,0.65), ax = axs)\n", + "\n", + " pos_layer_i = nx.get_node_attributes(GraphArray[layer_i],'pos')\n", + " nx.draw(GraphArray[layer_i], pos_layer_i, with_labels=True, node_size=150, node_color=[[0.7,0.7,1]], width=0.5, font_size=7, ax = axs)\n", + " nx.draw(G_query, pos_query, with_labels=True, node_size=200, node_color=[[0.8,0,0]], width=0.5, font_size=7, font_weight='bold', ax = axs)\n", + " nx.draw(G_best, pos_best, with_labels=True, node_size=200, node_color=[[0.85,0.7,0.2]], width=0.5, font_size=7, font_weight='bold', ax = axs)\n", + " plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### HNSW Search" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": { + "height": 387 + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "layer_i = 3\n" + ] + }, + { + "data": { + "image/png": "iVBORw0KGgoAAAANSUhEUgAAAgMAAAGFCAYAAABg2vAPAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjguMCwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy81sbWrAAAACXBIWXMAAA9hAAAPYQGoP6dpAABGdUlEQVR4nO3deXQc53ku+Keqq7vRC9DYCRDcQIBYKO6kRG2WZFuSryzGsebausnk3uRkYp8454wmkieLpUzOTCxZmuslN9YSJxlfW3G8RZIlW5Lj2JEsmZZsixIJ7hBJAARIkNjRQKMXdFd11fxR7Eav6AUN9FLP7xweAt31AQWyUf3W973f+wqapmkgIiIiwxKLfQJERERUXAwGiIiIDI7BABERkcExGCAiIjI4BgNEREQGx2CAiIjI4BgMEBERGRyDASIiIoNjMEBERGRwDAaIiIgMjsEAERGRwTEYICIiMjgGA0RERAbHYICIiMjgGAwQEREZHIMBIiIig2MwQEREZHAMBoiIiAyOwQAREZHBMRggIiIyOAYDREREBsdggIiIyOAYDBARERkcgwEiIiKDYzBARERkcAwGiIiIDI7BABERkcExGCAiIjI4BgNEREQGx2CAiIjI4BgMEBERGRyDASIiIoOTin0CRES0uhQF8PsBWQZUFRBFwGwG7HZA4rsAARA0TdOKfRJERFR4sgx4PEAolP4YiwWoqdGDAzIuBgNERBUoGARmZ7M/vr4esFpX73yotDFngIiowshyboEAoB8vy6tzPlT6GAwQEVUYj2dtx1H5Y+oIEVEFUZSlHAFFCeHEiTfg83mwb99dsNmcOHnyFwAAVVWgaSoOHLgnOjYU0sczqdB4mDNARFRBPB7A59M/VlUVihLC4OBxbNzYA6ezNnrc2NgQgkEftmzZGTfe4dATCslYuExARFRBYtf9RVGExVKV8ripqctoatq07HgyDgYDREQVRFUzHyPLIYRCATgcrrzGU+VhMEBEVEHELK7qMzOjaGzckPd4qjz8byciqiDZFA+anEy9RJDteKo8zBk1OEXRk40CgaUsYptNTyJiRjFR+bHblxIIAeDkyTfh9c4hEPCgtbUTTU0bEAotwuFInSVot6/RiVJJ4W4Cg4oUJRkbA6am9GplEVYr0NQEtLbqVcl4p0BUXmZmli9BnI7FAjQ0FP58qPQxGDCgYBC4eBEYGlo+WUgUga1bgfZ2liklKieyDExP5z6usZHBv1ExZ8BgZFkPBAYGMmcNq6p+3MWL3G5EVE7MZn1WLxecBTQ2rgobzOysPiMQ68yZn+Bb3/rcteensX//HfjMZ74TfX5oCKirA9atW8szJaKVsFr1O312LaRscJnAQBQFOH0aGB1Nf8yXv3wv7rzz09iz5+Nxj2/cCFx3HZMKicqRogB+vz7Dp6r6EqDZrCcL8neaAC4TGIrPpycLphMKBTAwcAo7d/5W0nOTk/EZykRUPiRJv/tvaNCTgxsa9M8ZCFAEgwEDCQTidw0k6ut7ATt33gSTyZT0XDAIeDwh+P1+qCxRRkRUURgXGoiiLP/8W2/9K+6889Npn79w4SJuvPFDEAQBZrMZFosl6Y/ZbEZ1dTVqamrgcDhgt9vhcDjiPk78O/Exu92eMiAhKjWKAsws+rAQ9iEMFSaIqDY50FDl4F03lRW+XA1kuYuTLAcxMHAaDz54KO0x27d3Y3R0FB6PBzMzM9E/09PT0Y+npqYwNTWF8fFxhMNhhMNhKIoCs9kMu90Om80Gq9UKs9kMs9kMURQhCAI0TYMsywgEAvD7/QiHwxAEIfq9Y1NbzGZzzgFG4nMSr9S0AiFZw6h/Bm7zJNy2qzgVPI2AGoBNtGGndQfqgutR52vGBnsDLGYh8xckKjJeEQ3EZtMzjFMtFRw79jx27rwx7R251aqPFwQBLpcLLpcLW7duzfp7+/3+lMFD7OcejyfuTV+SJNTX16OxsRENDQ1oaGhAY2MjXC4XbDYb7HY7JEnC4uIi/H4/fD5f9O/JyUn4fL64x2L/VhQFibmzkeBDFMW8AozYxywWS1wwQ5UjEFRxTh7EgO0kXvA9j7fn34aKpaUzESJuqboFn3B8Ep7FXehWO2CzckWWSht3ExhINrsJ0inGboJQKITZ2dmkACL2Y7fbjXA4HB0jiiLq6uqiwUMkgEj82GKxpP2+iqLA7/enDCKWCzBinwtei7hSzW6Iogibzbai2Y2qqioGG0UQkjWcDQ7giPQmHnd/AWGE4wKBCBEiTDDhkbq/wg3KHdhu7eQMAZU0BgMGMzEBHD2aW5tSUQT27y+POgPhcBhzc3PLBhDT09OQE6oo1dTUpAweYj+32+0FeQNWVRWBQCDnACP278XFRQBIO7tRVVW1otkNm80Gke3rkgzNT+Nn0z/Ag//tTxGeDgMSUP1gNWy/ZYP7T9yQL8hAGLActKD28VqYRTO+0vgV7PXfjq2uxmKfPlFaXCYwmPp6vcTwwED2Yzo6cq9mViwmkyn6Jt7V1ZXVGE3TsLCwkBQ0nD17Ni6A8Pv9ceNsNtuysw8NDQ1wuVxJAURkGcLhcBTs5078eRYXFzMGGDMzM2mfCwQCSbtGIj+HpmmwWq0rWkZxOBxllySqKIDbPImfhP4NjfsbMfX1KUAA5v5kDtaDVoiHRZiCJqhhFYIgIPDTAMR7RDzvfQFbrL1QlEYmFVLJ4syAAeXSm6CjA9iyJffeBEYochIIBDLOQCTmQZjNZtTX1y8bQNTX15f0G6WmaQiFQitaRvH5fMsmiUqStOIkUXOBS+pNeH04Zfs1/nDyD2HqM0HZqEBr1DDRPoHWe1uhPa5Bq9FgfsOMy79/Ga5/csF2jw0iRDzb/Cx2BG7EOufqBIBEK1Uhl2XKhdWqv8nX1QHj43pBocSuhc3NQEtL7vXKZTl9+dNQSC9cVCnlT202GzZs2IANGzZkPSY2DyLyZ3JyEv39/dEAIlUeRG1tbdrgIfLHukbdpARBgNVqhdVqRV1d3ap8D1mW4/I2UgUW09PTywYfsiwvmyQa2caabYBh29SMU+JpqFCh7tWj6NDJECAApmoT5BoZs5+eReiNECSbhKqPVAEAVKg4FTyNzeGdWAcGA1SaGAwYlNms5wA0NOh3/oGAfjcvSfquAYcj9zv4YFDvfZBJKKR3VKuvN143RIvFgpaWFrS0tGQ9JjYPInb2YXh4OO7zUEIEVl1dnTaAKHQeRKGZzeborpXVEA6HMyaJzs/P4+rVq9HHPvbp/4pAVSD6NVS3ivlPzUNQBch/peegaG9oUP0qzF1mBH8ZRNXtekDgV/0Ip0g0JCoVDAYMTpIAl0v/sxKynF0gEGt2li1TsxGbB5Gt2DyI2IChv78/binDd63GdKTWQ1VVVcYAIlUeRLkxmUyorq5GdXV11mMG5idhE20AAC2owf17bmiTGjZ+bSOCTn1qrWGgAZZfWXDpv1yC9lMtGgzYRTtmx6fxxN9/E9u2bUNnZyc6OzvhdDoL/8MR5YHBABWEx6P/HQoFcPr0WxAEAYIgoLf3ZoyMnIHPNwdVDWPjxl40N2+KG5fDexxlSRAE1NTUoKamBu3t7VmPi+RBxAYQIyMjOHr0aPTx+fl5aJoWDSAkScq4E6PU8yCyUW1yYKd1BwRNgPsBN8L9YWx8YCOC9wQRXgxDG9EgdUtQGvRSn+ZOPcoVIWKndQdaXS247bbbcOHCBbzwwgsYGBiA1+sFADQ3N0cDhEiwkEugQrRSTCCkFVOUpQZImqYC0AOBsbEhBIN+bNrUC1E0QVFk9PW9huuvvydufFNT5SQVGpEsyxnrQczOzqbMg1gukXIt8yCyoSjAidBZ/MUvHsDPP/pzAIAg6jMk6+5Yh4k3J4BrV1PnPiecLzlhkky4pepW/Ln1r7Hbsj3l61zTNExNTWFgYAADAwO4cOECBgYGsLCwAABobGyMm03o7OxcteUTMi4GA7RiHk/qjoajo+dhtdrQ1LQRQKQrYh+2b7857jiHQ08oJONQVTWrehCp8iCWCyAaGxtXNQ9iaH4ax2y/wJ/N/J9QoEBD+sunAAESpBXVGdA0DTMzM3FBwsDAAObn5wEADQ0NSTMKtbW1+f54ZGAMBmjFZmbidw8sLLhx/vy7UJQQdu/+IKqqHDhz5m3MzU2go2MPWlriyxhbLFwqoMw0TYPX601bzjq2HkTkshbZ+ZApgMg2D6LUKhBGAoXYYGFubg4AUFdXFzejsG3btlXb/UHlj8EArdjUVOqOiJOTl+B2T6C7+3oAgCyHcOzYz3DDDffGXXglSV8qIFoNsXkQ6XpjeDyeaJElQRDikjYTg4fmlo3wt4QwaD2J570v4O3Ft1L0JrgVn3R+Ah3BXeg2F6c3wezsLAYHB6NBwoULF+B2uwEAtbW1STMKuSSoUuVhMEArFjszoKphiKKeKDY7O4bZ2TFs3bobomiCqoZx7Nh/4MCB/xQ3njMDVGpi8yBSzT6YLXbc83v3wb7FgjnrGE4FT8Ov+mEX7dhp3YHaYCuEKTPGzwzDZpPigolSyIOYm5tLmlGYnZ2FpmmoqalJmlFoaGgo+x0ktDwGA7RisTkDHs8MBgf7IAgCRNGE7u6D15YMZGiaio0be6I5BBHMGaBypSjA+5eHsSgGUV1bA0EFxICAuavjGB8fTRlMBIPB6E4MYCkPYrmlDIfDsWZvxvPz89FAIRIsTE9PR881cUahqamp5AMFRdGvUYWop1KpGAzQisXuJsgHdxNQOXv55ZcxOTmJT33qUzmPjeRBpJuBiHzs9XrjAoiqqqqMOzFcLlfBm015PB4MDg7GzShMTU1B0zQ4nc64HQ/btm1Dc3NzUQOFSP2TsTH9GpVYabWpCWhtzb3SaiViMEAFkZhEmC0uESzPCD0eyt03vvEN1NXV4b777luz77m4uJgxgIgkEkYu8ZIkob6+ftlEyrq6Okh5vrC8Xm/SjMLExAQAwOFwoKOjI25GoaWlZVUDhVx6sGzdCrS3G68iaiwGA1QQsqyXGM4VKxCmtlyPh4hK6fFQ7r74xS/ipptuwgc+8IFin8qyFEXB7OzssrsxEutBCIIAl8uVsSplpjwIn8+XNKMwPj4OTdNgs9mSZhRaW1tXFCjIMjA4mFt31s5OvWeLUX+feG9BBWE261NtuZQk5tRcauzxUF5mZmbQ2Jh7DYG1JkkSmpub0dzcnPUYVVUxPz+fNPtw6dKltPUgNE2Ly4OIDRo2b96M/fv3x+VB+P3+aKBw5MgRfOc738HY2Fi0PHZHR0dcQuP69eszLn/MzuozArHC4TD+x//4GCYmLkHTNDzwwLPYvPlA9PmhIb1527p1Wf/zVBQGA1QwVqt+p8872vyxx0P5mZ6eLotgIB+iKKKuri5asyAbmqZFu0rGBgznzp2Lm4nwJVQqi9SDaGpqQm9vLxoaGuB0OhEMBjE/P4/Dhw/je9/7HsbGxqCqKqxWa3TpITKj0NbWBlUVMTaWvDQwOHgYshzEl750CidPvoyXXnoMDz74w+jzqqp3cW1oMOYSnAF/ZFpNZrP+y8S17vxEejwAgKKEcOLEG/D5PNi37y44nbXo7/81ZmfHsHnzDmzY0BU3jrkXxTEzM8NiPjEEQYDT6YTT6cSWLVuyHhebBxEJGiYnJ+MCiEhfDFEUsbi4iKNHj6Kvrw+KomBxcRF+vx9//Md/hs7O/wogfpmhsbEDgD7b4fVOo6Ym+RdmclLv4mrEas+8LNOqkCRuF8yVosTPqIiihJ07b8fg4PHoY1u37kZt7TqEw/FVnkKhpS1TtLbC4XDeSXe0pKqqCm1tbWhra8t6TCQPIjaAaG+/EZcvJ+cbuFxtMJkkfOYzmyDLIfz3//520jHBoL79kMEAERWN3x//uSiKsFiq4h6zWu3LjmcAtvZKfY99JUuVBzE6Cly+nHzs0aPfh8kk4Z/+aRTnzr2Gr3/9M3jkkdeTjktVTdUI1r5GJhGlJMvFHU9UCdJN0uiJjfUAgJqaVvj9CzmNr3QG/bGJSs9ye6HXYjzlLhwOF7ywD62MzaYnM8cWGAKA/fvvx+uvfxN/8Re7IMsyPvWpLyeNtVr18UbEYICoRKz0PYXvSWvP7XYzebDEOBx6ZcHR0fjHJcmSclkgVnOzPt6IGAwQlQizOXlL5smTb8LrnUMg4EFraycCAQ+mp69A0zQsLnrR2bkvbjytrXKpMWAUiqLgiSeewAc+8J8hir1Q1ezzOUQRaGnhMgERFZndvtTwKWLXrjuSjtu6dU/a8bS2KrnGQLk5d+4c/vRP/xS///u/j5tv7sXQkJBTBcKODr2Al1ExGCAqEZKkF2TKt8eDUe9oiml6ehoNLPBQVKqq4plnnsHrr7+Or3/969iwYQMAvdcAkF1vgo4Ovb6AkWfXuMpIVELy3RrILYXFwZmB4rp8+TLuu+8+mEwmvPTSS9FAANCTATs6gP37gY0bk0t2W6364/v3642KjF7Sm/cSRCWEPR7Ky8zMDLq7u4t9GoajaRq+/e1v47vf/S6++tWvoqurK+VxZrPea6ChQb/zDwSWinPZbHqyIGfUdPxnICox7PFQPjgzsPampqbwwAMPYNeuXXjllVeyqv4oSXpVQSNWFswWgwGiEsQeD+WBOQNr6+WXX8aTTz6JL33pS9i7d2+xT6ei8HJCVMLY46G0zc7Oss7AGvB4PPjsZz+L+vp6vPrqq6iqqso8iHLCBEIiojypqsomRavszTffxMc//nH8wR/8Ab74xS8yEFglfBUTEVHJCQQC+Ku/+iv4fD786Ec/QnV1dbFPqaJxZoCIKE+aphX7FCrS0aNHcejQIXz4wx/GP/7jPzIQWAOcGSAiykM4HIbJZCr2aVQUWZbxxBNP4Ny5c3juueeYnLmGODNARJQHt9uNeiPXry2w999/H4cOHUJnZye+/e1vMxBYY5wZICLKA2sMFIaqqnj66afxxhtv4Bvf+Aba2tqKfUqGxJmBHCiKXghmZgaYmtL/9nj0x4nIWFhjYOUuXbqEj3/845AkCS+++CIDgSLizEAWZDl9NbhQSO80x2pwRMbCmYH8aZqGb33rW/j+97+PJ598Etu2bSv2KRkeZwYyCAaB6enMneRCIf24YHBtzouIimtmZobBQB4mJyfxO7/zO7h69SpeeeUVBgIlgjMDy5Dl3BrGAPrxjY2cISCqdNPT0+jp6Sn2aZSVH/3oR3jqqafw5S9/GXv27Cn26VAMBgPL8Hj0v0OhAE6ffguCIEAQBPT23ozz549AlvXpgm3b9qO6uj5uHJcSiSobcwayNz8/j89+9rNobGzEj3/8Y1iN3i+4BDEYSENRlpYGzGYr9u69E4IgYGxsCGNjg+js3A+bzQm/34OBgT7s2nV7dGwotNQmk4gqE3MGsvPGG2/g0Ucfxd/8zd/gAx/4QLFPh9Lg21Uafv/Sx4KwlFoRDitwOFyw2ZzR5wRBSDmeDWaIKpfb7WaTomUEAgE88sgjCAQCLCdcBphAmIYsx3++sODG0aM/w5Ur5+OWBAYH+7BxY/K6YeJ4IqosqqqyAmEa7733Hg4dOoS77roL//AP/8BAoAxwZiANVY3/vLq6Dvv3343JyUsYGTmL7u7rcfHiKdTUNKK2tjnjeCKqLOxLkEyWZTz++OM4f/48ywmXGc4MpCHG/Muoajj6sSSZYTKZMDY2hGDQj02bejOOJyKqdP39/Th06BC6urpYTrgMcWYgDbN5KYHQ653D4GAfBEGAKJrQ3X0DfvObV1BdXY++vtdhsznQ03Nj0ngiqkyKokBihjAAfbnkqaeeYjnhMsdXcxp2u15ZEABqahqwd++dcc/ffvt/yTieiCoTmxTpRkZG8MADD+Cee+7BSy+9lDKZmsoDg4E0JEkvMZyp8mAqFgu3FRJVMqPXGNA0Df/8z/+Mf/3Xf8VTTz2Fzs7OYp8SrRBXtpeR79ZAbikkqmxGrjEQKSc8Pj6OV199lYFAheD96zLMZqC+PreSxPX1zBcgqnRG7Uvwwx/+EE8//TS+8pWvYPfu3cU+HSogBgMZWK16r4F0XQsj2LWQyDimp6fR3Jy8pbhSzc/P46GHHkJzczPLCVcoBgNZMJv1XgOKolcWlGW9joAo6s/Z7cwRIDKS6elp9Pam3lZcaX7+85/jsccew+c//3nceuutxT4dWiV8C8uBJDEfgIiMkTMQCATw8MMPIxgM4uWXX4bT6Sz2KdEqYgIhEVGOKj1n4N1338WhQ4fwkY98BF/72tcYCBgAZwaIiHLkdrtRW1tb7NMoOFmW8YUvfAEDAwMVUU6YS7vZ48wAEVGOKrFJUX9/P+6991709PSUfTlhWQZmZoCpKb14XKStfCikfz41pT/PhnJLGBsRERmYqqr46le/isOHD+Ob3/xm2ZcTDgaz2w4eCgHT0/p2cG6O4MwAEZFhjYyM4Ld/+7dhs9nw4osvrnkgoCj6tu3IXfzMjP65ouT39WQ5t7owgH48Zwg4M0BElBNFUcp+iUDTNDz77LN47rnnilJOWJbT126JTOXnU7vF44n9OgGcPv0WBEGAIAjo7b0Zc3MTGB09D1E0oavrABwOV3RcGa+KFASDASKiHMzOzpb1evrExAQeeOAB7Nu3D6+++uqaBzarNY0fyQmIMJut2Lv3TgiCgLGxIYyNDWB6+gr27bsbsryI8+ffw86dt0W/l6IYO6nQwD86EVHuyrlJ0UsvvYRnnnmmaOWE853Gb2zMPEPg98d/LghLq+DhsAK7vQZW6yxEUYTVaoff70kab+Q6MgwGiIhyUI41BkqlnLDHk/mYdOMyxV+p1v0XFtw4f/5dKEoIu3d/ECMjZ6EoIQSDAQQCXqiqClEU0443EgYDRAbFPdj5Kbfqg6+//jq+8IUv4NFHH8Utt9yS99dZ6esldhrf45nBwMBRCIIIq9WGnp6bcO7cO5idHcPmzTuwYUNX3NhspvFVNfmx6uo67N9/NyYnL2Fk5Cy2bt2NU6d+iaoqO2pqGqKBQLrxRsJfeSKDWa3kLaOYnp5GS0tLsU8jI7/fj4cffhiyLK+onHChXi+x0/hWqx27d38IJpOEoaHjmJ4exdatu1Fbuw7hcOqtBJmm8cWEvXGqGoYo6vkQkmSGyWRCQ8N6NDSsh9/vweXL55YdbzQMBogMhHuwV256ehrXXXddsU9jWUeOHMHnPvc5/Pmf/znuueeevL9OIV8vsdPwVqst+rEgmCAIAqxW+7LfI9M0vtkcH7B4vXMYHOyDIAgQRRO6uw/iwoWj8PnmIElWdHVdnzTeyBgMEBnEaiZvGUkp5wzIsozHHnsMQ0NDeOGFF1BfX7+Cr1XY10uqafjFRR/c7jFs3pw5uMo0jW+367MUETU1Ddi79864Y7Zt27/seCMz+MQIkXGsJHmLlpRqzsDZs2dx7733ore3F//yL/+yokAAWPp/93hmcOzYz9DX9xrOnn0biiLj+PHX0df3Go4ffx2Li76U4xIlTsMrioz+/l+jp+fGuLX7dDIdIkn6ckU+LBbmyRj8xycyhsQ92LEmJoYxMHAMt9zyv6R8nnuw45Vak6JIOeFf/vKXePbZZ7F+/foVf83Y10uq9f3e3ptgtdoxOzuGS5f60dV1IDo23esldhpfVVWcPfs2tmzZAbs9u/182cxO1dToyxW5MvKWwgjODBAZQOIe7AhNUzE1dTnjem268UakaVpWd7JrYXh4GB/72Mdgt9vxgx/8oCCBAJCY7GeDyaS/swuCCSaTFH29CIIIQRCWHR8ROw0/OTkCj2cGw8Nn0Nf3OiYnRzA0dByXL/fjypXzGBg4tuz4dMxmPW8hF/X1XAYDODNAZAjpkq8mJkbQ1LQxKbM62/FUHJqm4Zvf/Caef/75VSknnOr/O3F9X1XDGB4+he7ug1mNj0zjh0JAS0s7Wlra455vbt6MrVv3pDyfXKbxrVY9byHdDojYr8kdM0tKI7wlolWVKvkqMivQ3Lw5r/FUHBMTE7j//vsxNTWFV199dVX6CiT+f6da3z937l20tW2D3V6dcXxEvtPxuY4zm/UiRU1NgMOxFExYLPrnTU368wwElnBmgMgAUs1qT0wMo6lpY8pp3mzGG5Esy5CKmDzx4osv4u///u/xt3/7t9i1a9eqfZ/Y/+9U6/vDw6dgsznTBpLpXi+RafxcdimsZBpfkpgPkC0GA0QGkLgHGwB8Pg+8XjcmJoYRCCzgwoWjabde8Q5KNzs7u+Is/XzMzc3hoYceQmtr65qUE459vcSu7w8Pn0FrazuGh8/A5WqC2z0Bl6shaXp/udcLp/FLE4MBIgNI3IMNAB0de6Ifv/feT7kHOwvFqDHw2muv4fHHH8djjz2Gm2++eU2+Z+zrJdX6fkvL1mXHLy7qeQPpyhVHpvFZErt08J+byABik7dSOXDgI2nHcg/2krWsMeD3+/G5z30O4XB4ReWE85Hp9ZJJOKz/yVSumNP4pYMrgUQGsVbJW5VsrYKBI0eO4NChQ/joRz+KZ555Zk0DgYhC/r9HyhUHg4X7mlRYjPeJDGKtk7cq0fT0NFpbW1ft68uyjEcffRTDw8MrLie8Uvm8XjJheevSxWCACoJrf+WByVsrMzMzg507d67K1z5z5gweeugh/NEf/RE+//nPr8r3yFW2r5dQKIDTp9+CIAgQBAG9vTfj7NlfAdAACGht3RrNO/B49HwBKi28TNOKsB1u+WHyVv5WY5lAVVX83d/9Hd56662ClRMupFSvl0hOwNIxVuzdeycEQcDY2BDGxgYBADt33g5Jiv/FZ3nr0sScAcpbMKivA2ZKMuJ6YWmKJG9FirM0NOif8yKdXqGDgUg5YafTWdBywqsh9vVSVRX/XGxZ4nBYgcPhgiAAp079AqdOHU5qZsTy1qWHv/aUF7bDJSOam5uDy+Va8deJlBN+4YUX8NRTT6Gjo6MAZ7d2UpUbXlhw4/z5d6EoIeze/UFcd92tMJutmJubxIULR7Fz523Ljqfi4swA5SXSplRRQjh69Kc4fPh5eL1zebc3JSoHhWhSND4+jvvvvx/T09N45ZVXyi4QAFKXG66ursP+/XejvX0XRkbOwmzWCyPV1jYjGAxkHE/FxZkByllse1NRlLBz5+0YHDwOQJ8uzKe9KZER/OAHP8DXvva1VS8nvNoS4yFVDUMUTQAASTLDZDJBUWRIkhk+3zzMCdOBLG9denhJppzFrveJogiLZWkB0WQywWTK3N6Ue9fJSObm5vDggw9i/fr1a1JOeLUllrf2eucwONgHQRAgiiZ0dx/E8eM/h8mkBwiJ1S25VFh6GAxQzrJZ78u1vSlRqcu3SVExygmvtsTy1jU1Ddi79864Y5arasny1qWHwQDlLJv1vnzamxKVstnZWTTksEHe7/fjL//yL6GqKl555RU4HI5VPLu1tZJyxSxvXZq4ckM5y7Tel297U6JSlsu2wnfeeQeHDh3CoUOH8Mwzz1RUIBDB8taVRdA0TSv2SVB58XjipwhPnnwTXu8cqqrsqK9fj+Hh03C5mgAgZXtTh4MXBCofigLMLPow5ZtBKCyjxlGNapMDDVWOpDvcUCiERx99FCMjI/jqV7+Kurq64pz0GgkGcy9vXebpEhWLwQDlTFGAqan8xzc1cZqQSl9I1jDqn4HbPAnYA9A0RKrrQhAA+G2ok5uxwd4Ai1nAmTNn8OCDD+LTn/407r///iKf/dpZrgppBKuQlj4GA5SXmZn81wtZl5xKXSCo4pw8CMWhF8ZIsSkGkSun5K3BmVdP4MUXvoenn356VRsZlTKWty5vDAYoL7KslxjOFSsQUqkLyRrOBgegODwpg4BEmgaYvNXYbu2E1cKEGCpPfOVSXiLtTXPBdrhUDkb9M1AcHpx7733car8Vtzlvw+3Vt+Psb87ii3/8RdxSdQtusd2Ch+55CIA+a6BWL+BKoIC9fonWGGcGaEW4XkiVRFGAE6Gz0GwBhIJBiCYRZrMZf33/X2Ps0hj6j/fj+fefR1NbE25z3IbDvsMwm83QNEAI2LDbsp1T4lSW+LKlFWE7XKokM4s+wBmAAMBatZT27vV40bOvB1cvXcXU5SlUVVVFAwXgWk6BPYAZrw/rnJW3jZAqHy/TVBCR9qblgIELpbMQ9ul3+ddyBX78P3+Mx//3x6EoCp75s2dgtpjxqds/BUEQcMe9d8SN1TR9/DowGKDyw2UCMgwuaVAm5+bHsVB9BUJCNtUTf/QEjvz8CMaujOH7x76P+rZ63LvhXnzn2HewqXsTAEBTgeqFNnS7Wopw5kQrwwRCMoRgUN/9kGk7ZCikHxcMrs15UWkxQQSuzQr45pcqa9U11cFSZYEoiGja2ISauhoIggCv27s0WLg2nqgMcVKUKp4s51YlDdCP5zZI46k2OTB/LRj4ybd+gic/9yQEQYBJMuHpf38azz35HO5edzcEUUBnbye237g9OlYQ9PFE5YjLBFTxUhVI8nhmMDBwFIIgwmq1oafnJogJTRNYIMl4YncTZFNjIIK7CajcMRigipaudHIwGIAkmWEySRgaOg6nsx7NzZuSjmPp5PyUc5Lm0Pw0ZmtGcgoGAKBufjO2urJrZERUakr815JoZfz+1I9brbbox4JggpDmyu/3l88uiVKwXJJmKKQ3uCr1JM0N9gZ4fO6cKhBKvhpssHMaicoXs12oosny8s8vLvrgdo+hoaEtr/G0pFKSNC1mAd3mDkg+PQpMN3ca7U3gq0G3uQMWc45TCUQlhMEAVTRVTf+cosjo7/81enpuTMoXyGY8Lck3SbNUgy2bVcR2ayfq5jdDCOizSJqmbx+MBAFCwIa6+c3Ybu2EzcpLKZU3LhNQRUvzHg9VVXH27NvYsmUH7Pb06wDpxlM8j97cD6FQAKdPvwVBECAIAnp7b8b58+9CUWQAGny+Odx66yfixpVqkqbFLGCrqxGK0ogZrw8LYR/CUGGCiGqTAw1VDkj2Yp8lUWEwgZAqmsejr1MnGh+/iIGBY3A4agEAbW2daG7enHScw8GcgUxikzQ1TQWgBwJjY0MIBv3YsmUHAMDtnsDExEX09NwYN55JmkTFx19Bqmh2e+pgoKWlHS0t7VmNp+XFJmkKMaX7wmEFDocr+vnU1GU0NSXv2GCSJlHxcRKUKpok6dnr+bBYeMeajcR1/4UFN44e/RmuXDmP6mq9z7WmaZibm0BdXXKp3lLNGyAyEgYDVPYURV8OmJnRp6tnZvTPFUV/Pt+7Tt6tZicxybK6ug7799+N9vZdGBk5CwCYn59CTU1DykRNJmkSFR/ve6hs5bKnvb4+t2z3+vrS3QdfamLf31U1DFE0AcC1ok76x5OTl1IuESSOJ6LiYDBAZSkYzO7NPbKnvb5e7zXAroWFZzYv/Zt6vXMYHOyDIAgQRRO6uw9eWyKYRGfnvrTjiai4uJuAyo4s62/wuYo0HirnUrmlKF3J52xxNwFR8fFXkMrOcnvaR0fPYWJiGM3Nm9HZuTdpXEOD/sbDfIDCiSRpZqo8mAqTNIlKA2cGqKxk2tPe2toBv9+DmZmrScEAwLvQ1bLS2RoiKi6m7lBZSdzTHmkwFNnTHtuAKNN4KhyzWc/LyAWTNIlKB4MBKivZ7GnPZTwVjtWq3+lnqutgsejHWa1rc15ElBknTKmspNvTPjl5CSMjZ9HdfX1O46mwzGY9L4NJmkTlhb+WVFay2dOe7XhaPUzSJCovDAaorGTa0z46eg7j4xchy0GEQn5s335L0ngiIorH3QRUVrinnYio8DhpSmWFjYeIiAqPwQCVHTYeIiIqLAYDVHa4p52IqLCYM0Bla7muhRFsPERElBmDASp73NNORLQyDAaIiIgMjjkDREREBsdggIiIyOAYDBARERkcgwEiIiKDY641kUHIExNYePNNqAsLEKurUX3HHTCvW1fs0yKiEsBggKjCBU6dwtjjj8P9wgv6PswISULdJz6B1kcegW3nzuKdIBEVHbcWEpWoQtRPmP/pTzH48Y9DU5T4QCBCkiBIEjp++EO4PvKRwv4ARFQ2GAwQlZhUlRU1TYMgCNHPs6msGDh1Cv033AAtGAQ0DeMAngBwCYAK4G4AfwJAFAQIVit6jxzhDAGRQTEYICohwSAwO6u/+au+0whNPQdl7heAGgBEG6Ta22Fpuh+iYwcEQUB9PWC1pv5aQ7/7u9GlAQ3AfwPwewDuARAE8DkA+649DklC3Sc/ia3f/e6a/JxEVFoYDBCVCFkGpqcBTVOwOPwolNkfQ9NECIKKp757FQ/8r+ujn0v1h1C15f+CIEhobEyeIZAnJnByw4bo0sA7AP4ngH+KOeYKgP8NwE8jD0gSdl25AnNz82r/qERUYri1kKhEeDz6jMDi8KOYnzqG932/i7/7YRuefqUF/kUNf/n/1ePFo/twzn8/ZidPYXH4MWiaBo8n+WstvPlmXI7ARQDdCce0AQgBWIg8oCj6OCIyHAYDRCVAUfQcAdV3Gsrsj2ERPOiyP4+H7ruMYGAe//LKJA7u78F/PvAeuu3PoUYagTL7KlT/GYRCybmB6sJC6m+UgZoqsiCiisdggKgE+P3636Gp5wCYYBZ9EAUF3/vJFJx2M+6/dxveOfo+Xjx6PYYCH4WiVQEwITT5XNz4CLG6Ou7zdgDnEr7nFQAuALFHijU1BfuZiKh8MBggKgGyrP+tzP0CQDj6+H13t+P2D96LWtsCvvApP+7bdwQuaRhXgzcDCEOZezNufET1HXfE7T+8AYAXwL9f+zwE4CsAPh07SJL0cURkOAwGiEqAqur5AlAD0cfCmgUjwXuxxfbv+D9+rxWSsAhBEFAnnUdAbbo2MKDvPFDjv5553TrUfeIT0YBAAPBlAP8G4D4Ad0LPIbg3MuDabgImDxIZE4MBohIgitDrCIg2AICmCRgK3ItWy69RJbqhaiJUzQQAWAi3wSrMXRtogyAIEFP8Jrc+8ggESQKu1SdYD+BJAC8B+H+hBwZXAUAQIEgSWh9+eFV/RiIqXSxHTFQCzGY9gVCqvR3K7M8wq3TBF27FWOhGjIVuRJP5BCZC10MUZAgIY0vVTwGYINXeER2fyLZzJzp++MOUFQhvBvAjIK4CIQsOERkX6wwYRCFK29LqURRgagoIe0/Bf+4Psx5n73kWJscONDWl/38MnDqFsSeegPv555N7E3zyk2h9+GEGAmRovD4yGKh4qUrbJsqmtC2tvpkZIBjUsDj8/0CZ/TcAy/1qCpDq70XVlv8bVquAhobMX1+enNS7Fno8EGtq9K6FzBEgA+P1cQmDgQoWKW2breVK29Lqi69A+BiU2VcBmBC7uyDyeaYKhES0PF4f4zEYqFCRN5Zc8Y2luOJ6E/jPIDT5nL59MNqb4A5Ymu+HaL8uY28CIkqN18dkDAYq1MwMrlWmC+HEiTfg83mwb99dcDprsbjox4UL7yEcluFyNaO9fWm92GJBVlPOtHoK1bWQiFKLXB9jBQJeHDv2M9jtLgDAddfdAoulKu6YSr4+GiQ1wlgipW0BQBQl7Nx5OwYHj0efHxrqQ1fXAVit9qSxkdK2RkmaKUVms37BiU9qEgyZ1ERUaLHXx0QuVzN27Lg17dhKvj5W4I9EsaVpRVGMi25VVcXiog8DA32Q5UW0t++Cy9WUNJ5VaYtPkvj/QFRoiaW7Y3k8U+jrew0uVxPa23fFzcbFjq/E30sWHapAiaVp458LwuudQ0fHHvT23oyBgWM5jSciKmfprm9Wqw0HD/4W9uz5MEKhRUxPj+Y0vtwxGKhAiaVpY0mSGTabE1VVDlitNgiCCDVhwHLjiYjKWbrrmyiaYDJJEAQBTU0b4fW6cxpf7hgMVKBUpWkjTCYJkmSFLIcQDitQ1TDEhAHLjSciKmfprm+KsnTLPz8/CZutOuVxlXp9ZM5ABYqUto04efJNeL1zCAQ8aG3txNatu3D69GGoqootW5IrzzFDnYgqVeL1MWJ+fgoXL56EySShqsqBLVt2pR1fibi1sAJFStvma7nStmuJJUKJqNAq5fpYaBX4I5Ek6fthlyuxmY7FUvwX+nIlQkMhwOfjPnsiyk+5Xx9XS4WuflC+W1+KvWUmGNQrg2X6RQ2F9OOCwbU5LyKqHOV6fVxNDAYqlNms19LORX19ce+0ZTm3WuGAfnylbvUhotVRjtfH1cacgQpXTl25IiVCQ6EATp9+C4IgQBAE9PbejEDAi6Gh4wCArq7r4XTWRsetZYlQ5jEQVY5yuj6uNgYDBlHqb2KxST2apgLQA4GxsSEEg3643ePYseM2hMMyzp9/F7t23RE3frWTenjRIKpcpX59XAsG+TGp1EvbxpYIFYSl1atwWIHN5sTcnACz2QKz2QJZTn5HXs0Sodm2Oo3kMbCTIFF5KfXr41pgzgCVhMR1/4UFN44e/RmuXDkPl6sJJtPS7bYgCFDV8LLjC3lezGMgokrHmQEqCYklPqur67B//92YnLyEkZEzCIeX3l01TYMompYdXygeT/JjqXIarFZb0rhKbXVKRJWHwQCVhNgSn3qJZP3NXpLMMJkkaJp2rYSyDLPZsuz4QknX6tRstmLv3jujOQ1jY4PYsmVH3DGV3OqUiCoPL1VUEmJLhHq9cxgc7IMgCBBFE7q7DyIQWMCpU78AAHR1HUg5vtDStTpNzGlwOFxpxxt9HZKIygN3E1BJKMUSoZGtjqksLLhx/vy7UJQQdu/+IKqqHEnHrOWWRyKilWAwQCVjuTff5azWm+7UlB6kLGdy8hLc7gl0d1+f9Jwk6UEKEVGp424CKhmlViI0XR5C7E4GPafBlPK4Sm11SkSVhzkDVDIiJUJz2cq3miVC07U6TZXTkG48USlikR1KxGUCKjmlUu2vFPMYiFaiVH63qPQwGKCSVQp3L6WWx0CUr2wraUawkqaxMBggWoYs6yWGc9XYyDsrKh18HVMmDAaIMuAdFZW72BkuRQnhxIk34PN5sG/fXXA6a3HlynmMj18EAGzatB1NTRsBcIbLSLiiSZSB1arfIXGtlVbbaiyNJVbSFEUJO3fejsHB49HHrly5gAMH7oGmqejrey0aDLCSpnHwv5goC2azfodUCnkMVHmWS+wLhQCfL/9gM7GSpiiKsFiq4h6z2ZxQ1TBUVYEkxZf7ZiVNY+DliygHbHVKhbbaLbKz6aBZX78eR478GICWtFWWHTiNgcEAEVGR5NsiO5fEvkwdPRVFxtWrAzh48BA0TcXx4z9HfX0rBEHIajxVBtZIIyIqklQtshUlhKNHf4rDh5+H1zuX9bh0sqmEKYqma38kaJqa8Fz234vKF2cGiIiKIF2L7FQJfolySexLVUnz5Mk34fXOIRDwoLW1E01NG3Ds2H8A0LB+/bborEBkPFU+BgNEREWQrkV2qgS/dOOzyV+x2/UExFi7dt2RdNymTdvTjqfKxwkgIqIiWGliXrbjJUnfiZAPi4W7ZIyCwQARURGsNDEvl/Gl1hGUSg+DASKiIlhpYl4u4yMdQXOxmh1BqfRwAoiIqAjStcgGkhP8Wlu3phyfC1bSpOWwNwERUREUs0U2K2lSIv63ExEVQSSxL98W2St502YlTUrEYGANMRonolg1Nfm1FuYbORUalwnWwHJNSCK4TkdkTGyRTaWAwcAq4y86EWXCGwYqtooJBkpxCl6W85sCzKUJCRFVjlK8jpExlH0wUMoR9cxM/slBDQ2FPx8iIqJUyjrWXO0+4CsR24TE45nBwMBRCIIIq9WGnp6bcOXKOUxNjcJkktDTcyOsVlvc+WbbhISIiGilynZmoNSn4D2epeYgwWAAkmSGySRhaOg47HYXxseHsHv3h7CwMIvx8SF0dV0fN97hYMYwERGtjbK994z08w6FAjh9+i0IggBBENDbezNE0YQLF95FKLQIm60a3d03xI1biyn42CYisXf9gmBCKBSAw+GCIAhwOuswP59ceWSlTUyIiIiyVZbBQOwUvNlsxd69d0IQBIyNDWFsbBCyHMTGjb2ork4uxr1WU/CpmogsLvrgdo9hx47bcPr0YahqGG73BGQ5ObFgpU1MiIiIslWWwUBsH3BBWOrWEQ4rcDhcGB09h6tXw/D7F7BhQzeamjYkjV/tKfjEJiKKIqO//9fo6bkRFksV1q/fhhMn3oDTWQe7PflkVtrEhIiIKFtlGQwkTqEvLLhx/vy7UJQQdu/+IDyeGXR07IXdXoPjx19HfX0rTCZT2vGrIbYJiaqqOHv2bWzZsiP6xt/S0o6Wlna43RMwm5OzGrm1kIiI1kpZBgOJU+jV1XXYv/9uTE5ewsjIWVitdtTU6IkBdns1QiE/bLbqtONXg92+lEA4OTkCj2cGw8NnMDx8Bm1tnZiaGoUsL6KqyoFt2w6kHE9ERLQWyjIYiJ1CV9UwRFG/69cz9k1wOmvh9y/AZnMgEPDCYrGlHb9aYpuQRGYBYjU3b047dqVNSIiIiHJRlm85sVPwXu8cBgf7IAgCRNGE7u6DCIdlnD9/BOFwGK2tHTCZpKTxa4FNSIiIqByUZZ2BYvYBzxV7ExARUakry5mBYvYBz5XVqhc6KtWSyURElJ1K7h1RljMDQOlXIEylkl9IRESVqpR74BRK2QYDAKfgiYhodRnlfaasgwHAGBEbERGtvXKcgc5X2QcDEZyCJyKiQoq0oU/sPNvVdQNOnToMAFBVBZqm4sCBe6LjyrENfcUEA0RERIUSu2stsfOs01mP5uZNAICxsSEEgz5s2bIzbvxa7lorBFbAJyIiShDbA8dqtUXr1QiCCYIgRJ+bmrqMpqZNy44vBwwGiIiIEqTqYRPpPNvQ0HbtmFC0JX0240sZgwEiIqIEiT1sYjvPitdq2s/MjKKxcUOK0eXXhp7BABERUYL4HjjJnWcBYHIy9RJB4vhyUGanS0REtPpitwbGdp7t63sdk5MjUJQQQqFFOBypm8lwayEREVGZK6ceOIXAmQEiIqIEkR44+SjHNvQMBoiIiFLIt518ObahZzBARESUgtms9xrIRX19+eULAMwZICIiWpYReuAwGCAiIspCJffAYTBARERkcGUeyxARZVbJd3REhcCZASKqWEZY6yUqBAYDRFSRgkFgdjb74+vrAat19c6HqJRxayERVRxZzi0QAPTjy63THFGhcLWMiCqOx5P8mKap6O//DUKhAKqqHOjquiHafS52XEPDGp0kUQnhzAARVRRFSZ0jMDU1CpvNiT17Pgy7vQbT06NJx4RC+ngio2EwQEQVxe9P/fjiohdOZx0AwOmsx9zcZE7jiSoZgwEiqijp1v3tdhfc7gkAgNs9DkVJvcWAeQNkRAwGiKiiqGrqxxsa1kMURRw//jpUVYHFUpXTeKJKxgRCIqooYppbHEEQ0Nm5DwBw8eIp1NWty2k8USVjMEBEFcVsTp1AGAwG0N//KwAC6urWoba2Oe14IqNh0SEiqiiKAkxN5T++qYklisl4OCFGRBVFkvQSw/mwWBgIkDExGCCiilNTs7bjiModgwEiqjhms95rIBf19cwXIONizgARVSx2LSxPbDm99hgMEFHF45tLeWDwVjwMBoio4PjmS7liy+niYjBARAXDOzvKhywD09O5j2ts5OuoUBgMFADvgoh4Z0f5m5lZPoBMx2Jhy+lCYTCwArwLItLxzo4SZXuTlFgkyuOZwcDAUQiCCKvVhp6emzA2NoDx8YsAgE2btqOpaWP0eBaJKgwGA3niXRDRksidnaKEcOLEG/D5PNi37y44nbUAgMVFH95551Xs3/+R6GMA7+wqUa43SR4P4PMtPRcMBiBJZphMEoaGjsPprMfw8CkcOHAPNE1FX99rOHDgP0WPdzhYH6IQWGcgD7KcWyAA6MezNSpVIkVZuvCLooSdO2+Pu3MDgEuX+uFyNSaN1QOItThLWgvBoD5DlGnKPxTSjwsGk6+LVqsNJpN+qy8IJgiCAJvNCVUNIxyWIUnx5SV5XS0MTq7kweOJ/J08nRUKLeLChfcQDstwuZrR3r4zbhzvgqjS+P1LH4uimNQaOBDwAgCsVkfa8YW8s2MOT3Hke5NkMqV+bnHRB7d7DJs3X4dQaBFHjvwYgIbu7oNxx7HldGHwVyNHsXdBVqsdu3d/KDqdNT09iunpy+jqOgCr1Z40NnIXxAsSVZJMd2aXLvVj06ZeDA+fzmt8LueRbno6FNKnopnDs3oiN0lA6uWi06d/CVkOQlVVdHTsiXaNTPVmrigy+vt/jZ6eG6GqYVy9OoCDBw9B01QcP/5z1Ne3QhAEAGw5XSh8W8pR7F2Q1WqLfiwIJgAaFhd9GBjogywvor19F1yupqTxXN+iSrLcnVkgsAAAsNmceY3PVrY5PJHpaebwFFbsTRKwtFw0OHg8+tj27TdDFE0IBLw4d+4I9uz5EAAgMWtNVVWcPfs2tmzZAbu9BooiQxRNEEUTNE2EpsW/YBjYFQZjqhyluouJTGfV1DTC651DR8ce9PbejIGBY1mNJypny92Zeb1z8PvnceLEG3C7x3H+/LsIh8NZj88Gc3iKL/YmCUi9XCSK+npAOKzA4XCl/VqTkyPweGYwPHwGfX2vY3b2KpqaNuDYsf9AX99/YP36bdFZAUBf/qGV48xAjhLvYmKns8xmK2w2J6qq9LVRQRChqirEmKsd17eo0pjN8XeFJ0++Ca93DoGAB62tndi7904AQH//b7BxYw9MCYvEK72zyzQ9PTl5CaOj5yCKJvT03IiqKnt0HHN4CiPbwKqv7zX4/Qvo7b0x7nFBWJohaGlpR0tLe9LYTZu2Jz3GltOFw3/GHMXexSROZwGAJFkhyyGIoghVDccFAonjiSqB3R6/NWzXrjtSHpf4BhA7Pl+ZpqdVVcXo6PvYs+fDWFiYxcjIaXR33wCAOTyFlO1Nzt69d2Jx0YfTpw+jvr41+rgoAgkTRlnhkmvh8NcgR7F3QbHTWcPDZ9DW1omtW3fh9OnDUFUVW7bsTDmeqJJIkn6Hlm8FuZW8GWeang4EFmC310AUTXC5mjA42Jc0nm8oK5fpJkfTNGiaBlEUYTJJMJniL4QmE+By5V67hdfTwmEwkKPYu6B001mRadF044kqTU1NfhUIV/pGnGl6WlFCcW88iTXWmDdQGIlLRUD8ctG6de2YnLx07RkN7e27ksZbrXpFSlZ1LQ4GAzkq5l0QlbdK3v9uNut3amt9Z5dpelqSLAiHl97xYxPPshlP2UlcKgKSl4va2rYtOx7QXw8NDZX9u1Kq+M+ah2LdBVF5Msr+92Lc2WWanrbZquH3e6CqYSwszMLhqM1pPGWn0DdJksTr5Vpjb4I8sTcBZcOor5O1urNLrGsPLE1PV1XZ0draCZPJhNHR8xBF8dpugqVKiKxrXzhsVlXeGAysQLG6FnIKrTzw4rj6Ejve5Yod77KXzXXHqMFvJWAwUABr9ebMlsnlJV2Pdrd7AiMjZwBoaGvrSmrqw05+uUn375wJ/52zk+t1h9ep8sRgoEww4i4v6e5Yw2EFZ8++jeuuuzVakS0V3rFmjzMwq2cl1x3OYJYXBgNlgBe78pNqLRsA3O5xXL06AEWRYTJJ2LbtQFyPiwiuZeeGwXLhrcV1hwFD6eA/dxmIlFtNVWr1nXdegcWi78vZvHl7XFUvllstnnT710OhRQQCXuzbdxfc7gkMD59Gd/f1WY+n1LhHvfBiyzzHGhw8Do9nGlVVDnR3H0yqsprNdccoO2zKCYOBEhdbbjVVJzCTyYK9ez+ccizLrRZPuv3rkmSBy9UIUTShrm4dLl06m9N4So971AsnscxzhNfrRjDox969d2Jk5Aympi5h3botccdkuu6ww2Rp4i7bEhdbbjVVJ7BwWEZf32s4e/ZXkOXgsuNp7aTbv15d3QCfzwNN0+D1uuO2uWUznjKL7FFvaNBzLxoa9M8ZCGQv3XVjfn46OvtYX9+K+fnU6wjpxrPDZOnir0eJy/RLsG/fXTCbrRgfv4jh4VPYtu1ATuNpdaQqzwoAFosVTU0bcPz46wCAnp6DaccTFUu664aihGCx6DkuJpMZipJ6TSbd+MjSg8czg4GBoxAEEVarDT09N0EURSwu+vDOO69i//6PwOmsjRvHJc/VxWCgxGWaLjab9fmzpqaNGBsbzHk8rY5U5Vkj2tq60NbWlXE8UbEst8wVKe8cDsuQJEvW42OXHqxWO3bv/hBMJglDQ8cxPT2K5uZNuHSpHy5XY9JYLnmuPk5GlrjlpotVNQxV1ft+zs9PwWZz5jSeVk+kPGs+2MOCii3ddaOmphFu9zgAYHZ2LOUbd7rxsUsHVqsNJpP+IhcEEwRBQCDgvfZc6qUzLnmuLl5ySlzidHNsJ7DGxg2YnLwEk0mCKIro7k6ecuZ0c/Gwh4VxlXsSY7plrurqOlgsVejrew1Wqx0bN/akHZ8o1dLB4qIPbvcYNm++DhcuHMWmTb0YHj6d8mtyyXN1lcHL0tgSp5sTO4Ft2rQ943gqjmJ18qPiqZQtc8stc3V07M1qfKLEpQNFkdHf/2v09NyIYFD/ZqlmN9ONp8LiJHKJ43RzeYvsf8/0f2ix6MdxC1X5Cgb1maBMpZEjW+aCyZt/SsZqXHdilw5UVcXZs29jy5YdsNtr4PXOwe+fx4kTb8DtHsf58+8iHA6nHU+FxwqEZYAVCCtDuU8dU3qV+Dta6J8ptirn+PhFDAwci7aUbmvrRHPzZgBAf/9vsHFjT9xuAoBVOVcbg4EywXKrtFoYpKxcpFlSqi1z09OjGB09B1E0XWuhvDSHXurNkgp53WGHydLGYKCMsBsYFRJfT4UR+yYXDAYgSeboljmnsx6jo+9jz54PY2FhFuPjF9HdfUPc+FJ/kyvk64QdJktXCb8EKRHLrVKhsCRs4SRumYsQBBMCgQXY7TUQRRNcriYMDvalHF/K09+FvO5wh03p4ltHGYqUWyXKR74lYUt5fbuYltsyt3XrHoRCi9HHU03ElsuWuUJcd7jDpnQxP5PIYNJ1o1utcZVuuS1zZrM1WrEPAARByDi+0nGHTWnizACRgSR2o0vVFvvy5X5MTY3CZJLQ03NjdOqbJWFTW27LnKqq8Ps9UNUwFhZmo9nz6cYbBZc8Sw8TCIkMJHZ7F6C/eSlKCIODx7FxYw/MZiv6+3+F3bs/dC3hbQhdXddHj+f2rmSZtswBwOjoeYiieG03QXy5Xf6bUilg7EVkIInr04ltsYNBHxwOFwRBgNNZh/n5qWXHU3y1vpaWdrS0tCcdE9lDn248UbEZcIKKyLgyrU9XVVVjYWEWqhqG2z0OWY7fB2a09e1ssEooVQIGA0QGkml92mKxYv36bThx4g3Mzo7Bbo+fvzbi+nY28p3m5/IAlQrGpEQGkq4bXazIVLfbPQGzOT6Vm1u8UuOWOSp3DAaIDCRVN7rYttitrZ2YnR2DLC+iqsqBbdsOJI2n1CJb5ljVkcoRdxMQGQxLwq4+bpmjcsNggMhgKrHDHhGtDIMBIgNiF0wqB5xhWTsMBogMil0LqVTxtbn2GAwQGRzvvqiUcNaqOBgMEBFRSWA+S/Ew7iciopIQ2xkzFArg9Om3IAgCBEFAb+/NsFptUBQZ77zzCrq7D6KxsS06jjtdVobBABERFV1iR02z2Yq9e++EIAgYGxvC2NggtmzZgStXzsPprIsby46aK8fiokREVHR+f/zngiBCEAQAQDiswOFwQVFk+HxzqKlpzDiecsNggIiIii5VR8yFBTeOHv0Zrlw5j+rqeoyOnkNbW1fW4yl7DAaIiKjoUnXErK6uw/79d6O9fReGh0/B652Dy9WU9XjKHldYiIio6BI7YqpqGKJoAgBIkhmLiz6Ew2GcOPEGAgEvZmauwOmsRVWVI+V4yg2DASIiKrrEjppe7xwGB/sgCAJE0RTdTQAAFy+eQnV1fTQQiIyn/LHOABERFZ2iAFNT+Y9vauJugpXgxAoRERWdJOklhvNhsTAQWCkGA0REVBJqatZ2HC1hMEBERCXBbNZ7DeSivp75AoXAnAEiIiop7Fq49hgMEBFRSWJHzbXDYICIiMjgmDNARERkcAwGiIiIDI7BABERkcExGCAiIjI4BgNEREQGx2CAiIjI4BgMEBERGRyDASIiIoNjMEBERGRwDAaIiIgMjsEAERGRwTEYICIiMjgGA0RERAbHYICIiMjgGAwQEREZHIMBIiIig2MwQEREZHAMBoiIiAyOwQAREZHBMRggIiIyOAYDREREBsdggIiIyOAYDBARERkcgwEiIiKDYzBARERkcAwGiIiIDI7BABERkcExGCAiIjI4BgNEREQGx2CAiIjI4BgMEBERGRyDASIiIoP7/wHy2tORVOiKggAAAABJRU5ErkJggg==", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "layer_i = 2\n" + ] + }, + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "layer_i = 1\n" + ] + }, + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "layer_i = 0\n" + ] + }, + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "(SearchPathGraphArray, EntryGraphArray) = search_HNSW(GraphArray,G_query)\n", + "\n", + "for layer_i in range(len(GraphArray)-1,-1,-1):\n", + " fig, axs = plt.subplots()\n", + "\n", + " print(\"layer_i = \", layer_i)\n", + " G_path_layer = SearchPathGraphArray[layer_i]\n", + " pos_path = nx.get_node_attributes(G_path_layer,'pos')\n", + " G_entry = EntryGraphArray[layer_i]\n", + " pos_entry = nx.get_node_attributes(G_entry,'pos')\n", + "\n", + " if layer_i>0:\n", + " pos_layer_0 = nx.get_node_attributes(GraphArray[0],'pos')\n", + " nx.draw(GraphArray[0], pos_layer_0, with_labels=True, node_size=120, node_color=[[0.9,0.9,1]], width=0.0, font_size=6, font_color=(0.65,0.65,0.65), ax = axs)\n", + "\n", + " pos_layer_i = nx.get_node_attributes(GraphArray[layer_i],'pos')\n", + " nx.draw(GraphArray[layer_i], pos_layer_i, with_labels=True, node_size=100, node_color=[[0.7,0.7,1]], width=0.5, font_size=6, ax = axs)\n", + " nx.draw(G_path_layer, pos_path, with_labels=True, node_size=110, node_color=[[0.8,1,0.8]], width=0.5, font_size=6, ax = axs)\n", + " nx.draw(G_query, pos_query, with_labels=True, node_size=80, node_color=[[0.8,0,0]], width=0.5, font_size=7, ax = axs)\n", + " nx.draw(G_best, pos_best, with_labels=True, node_size=70, node_color=[[0.85,0.7,0.2]], width=0.5, font_size=7, ax = axs)\n", + " nx.draw(G_entry, pos_entry, with_labels=True, node_size=80, node_color=[[0.1,0.9,0.1]], width=0.5, font_size=7, ax = axs)\n", + " plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Pure Vector Search - with a vector database" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": { + "height": 149 + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Binary /home/jovyan/.cache/weaviate-embedded did not exist. Downloading binary from https://github.com/weaviate/weaviate/releases/download/v1.22.3/weaviate-v1.22.3-Linux-amd64.tar.gz\n", + "Started /home/jovyan/.cache/weaviate-embedded: process ID 180\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "{\"action\":\"startup\",\"default_vectorizer_module\":\"none\",\"level\":\"info\",\"msg\":\"the default vectorizer modules is set to \\\"none\\\", as a result all new schema classes without an explicit vectorizer setting, will use this vectorizer\",\"time\":\"2024-01-24T21:11:27Z\"}\n", + "{\"action\":\"startup\",\"auto_schema_enabled\":true,\"level\":\"info\",\"msg\":\"auto schema enabled setting is set to \\\"true\\\"\",\"time\":\"2024-01-24T21:11:27Z\"}\n", + "{\"level\":\"warning\",\"msg\":\"Multiple vector spaces are present, GraphQL Explore and REST API list objects endpoint module include params has been disabled as a result.\",\"time\":\"2024-01-24T21:11:27Z\"}\n", + "{\"action\":\"grpc_startup\",\"level\":\"info\",\"msg\":\"grpc server listening at [::]:50060\",\"time\":\"2024-01-24T21:11:27Z\"}\n", + "{\"action\":\"restapi_management\",\"level\":\"info\",\"msg\":\"Serving weaviate at http://127.0.0.1:8079\",\"time\":\"2024-01-24T21:11:28Z\"}\n" + ] + }, + { + "data": { + "text/plain": [ + "True" + ] + }, + "execution_count": 7, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "import weaviate, json\n", + "from weaviate import EmbeddedOptions\n", + "\n", + "client = weaviate.Client(\n", + " embedded_options=EmbeddedOptions(),\n", + ")\n", + "\n", + "client.is_ready()" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": { + "height": 268 + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Successfully created the schema.\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "{\"action\":\"hnsw_vector_cache_prefill\",\"count\":1000,\"index_id\":\"mycollection_qRyI0ROYEMdL\",\"level\":\"info\",\"limit\":1000000000000,\"msg\":\"prefilled vector cache\",\"time\":\"2024-01-24T21:11:28Z\",\"took\":47671}\n" + ] + } + ], + "source": [ + "# resetting the schema. CAUTION: This will delete your collection \n", + "# if client.schema.exists(\"MyCollection\"):\n", + "# client.schema.delete_class(\"MyCollection\")\n", + "\n", + "schema = {\n", + " \"class\": \"MyCollection\",\n", + " \"vectorizer\": \"none\",\n", + " \"vectorIndexConfig\": {\n", + " \"distance\": \"cosine\" # let's use cosine distance\n", + " },\n", + "}\n", + "\n", + "client.schema.create_class(schema)\n", + "\n", + "print(\"Successfully created the schema.\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Import the Data" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": { + "height": 472 + }, + "outputs": [], + "source": [ + "data = [\n", + " {\n", + " \"title\": \"First Object\",\n", + " \"foo\": 99, \n", + " \"vector\": [0.1, 0.1, 0.1, 0.1, 0.1, 0.1]\n", + " },\n", + " {\n", + " \"title\": \"Second Object\",\n", + " \"foo\": 77, \n", + " \"vector\": [0.2, 0.3, 0.4, 0.5, 0.6, 0.7]\n", + " },\n", + " {\n", + " \"title\": \"Third Object\",\n", + " \"foo\": 55, \n", + " \"vector\": [0.3, 0.1, -0.1, -0.3, -0.5, -0.7]\n", + " },\n", + " {\n", + " \"title\": \"Fourth Object\",\n", + " \"foo\": 33, \n", + " \"vector\": [0.4, 0.41, 0.42, 0.43, 0.44, 0.45]\n", + " },\n", + " {\n", + " \"title\": \"Fifth Object\",\n", + " \"foo\": 11,\n", + " \"vector\": [0.5, 0.5, 0, 0, 0, 0]\n", + " },\n", + "]" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": { + "height": 336 + }, + "outputs": [], + "source": [ + "client.batch.configure(batch_size=10) # Configure batch\n", + "\n", + "# Batch import all objects\n", + "# yes batch is an overkill for 5 objects, but it is recommended for large volumes of data\n", + "with client.batch as batch:\n", + " for item in data:\n", + "\n", + " properties = {\n", + " \"title\": item[\"title\"],\n", + " \"foo\": item[\"foo\"],\n", + " }\n", + "\n", + " # the call that performs data insert\n", + " client.batch.add_data_object(\n", + " class_name=\"MyCollection\",\n", + " data_object=properties,\n", + " vector=item[\"vector\"] # your vector embeddings go here\n", + " )\n" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": { + "height": 166 + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "{'data': {'Aggregate': {'MyCollection': [{'meta': {'count': 5}}]}}}\n" + ] + } + ], + "source": [ + "# Check number of objects\n", + "response = (\n", + " client.query\n", + " .aggregate(\"MyCollection\")\n", + " .with_meta_count()\n", + " .do()\n", + ")\n", + "\n", + "print(response)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Query Weaviate: Vector Search (vector embeddings)" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": { + "height": 217 + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[\n", + " {\n", + " \"title\": \"Second Object\"\n", + " },\n", + " {\n", + " \"title\": \"Fourth Object\"\n", + " }\n", + "]\n" + ] + } + ], + "source": [ + "response = (\n", + " client.query\n", + " .get(\"MyCollection\", [\"title\"])\n", + " .with_near_vector({\n", + " \"vector\": [-0.012, 0.021, -0.23, -0.42, 0.5, 0.5]\n", + " })\n", + " .with_limit(2) # limit the output to only 2\n", + " .do()\n", + ")\n", + "\n", + "result = response[\"data\"][\"Get\"][\"MyCollection\"]\n", + "print(json.dumps(result, indent=2))" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": { + "height": 234 + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[\n", + " {\n", + " \"_additional\": {\n", + " \"distance\": 0.6506307,\n", + " \"id\": \"0468ef35-c02e-4a77-80f1-0de6c7d44950\",\n", + " \"vector\": [\n", + " 0.2,\n", + " 0.3,\n", + " 0.4,\n", + " 0.5,\n", + " 0.6,\n", + " 0.7\n", + " ]\n", + " },\n", + " \"title\": \"Second Object\"\n", + " },\n", + " {\n", + " \"_additional\": {\n", + " \"distance\": 0.8072029,\n", + " \"id\": \"d5a24088-83e4-414e-9fb5-edf2475248e4\",\n", + " \"vector\": [\n", + " 0.4,\n", + " 0.41,\n", + " 0.42,\n", + " 0.43,\n", + " 0.44,\n", + " 0.45\n", + " ]\n", + " },\n", + " \"title\": \"Fourth Object\"\n", + " }\n", + "]\n" + ] + } + ], + "source": [ + "response = (\n", + " client.query\n", + " .get(\"MyCollection\", [\"title\"])\n", + " .with_near_vector({\n", + " \"vector\": [-0.012, 0.021, -0.23, -0.42, 0.5, 0.5]\n", + " })\n", + " .with_limit(2) # limit the output to only 2\n", + " .with_additional([\"distance\", \"vector, id\"])\n", + " .do()\n", + ")\n", + "\n", + "result = response[\"data\"][\"Get\"][\"MyCollection\"]\n", + "print(json.dumps(result, indent=2))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Vector Search with filters" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": { + "height": 319 + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[\n", + " {\n", + " \"_additional\": {\n", + " \"distance\": 0.6506307,\n", + " \"id\": \"0468ef35-c02e-4a77-80f1-0de6c7d44950\"\n", + " },\n", + " \"foo\": 77,\n", + " \"title\": \"Second Object\"\n", + " },\n", + " {\n", + " \"_additional\": {\n", + " \"distance\": 0.8284496,\n", + " \"id\": \"825025de-5567-4aef-9ccd-44252cedbf20\"\n", + " },\n", + " \"foo\": 99,\n", + " \"title\": \"First Object\"\n", + " }\n", + "]\n" + ] + } + ], + "source": [ + "response = (\n", + " client.query\n", + " .get(\"MyCollection\", [\"title\", \"foo\"])\n", + " .with_near_vector({\n", + " \"vector\": [-0.012, 0.021, -0.23, -0.42, 0.5, 0.5]\n", + " })\n", + " .with_additional([\"distance, id\"]) # output the distance of the query vector to the objects in the database\n", + " .with_where({\n", + " \"path\": [\"foo\"],\n", + " \"operator\": \"GreaterThan\",\n", + " \"valueNumber\": 44\n", + " })\n", + " .with_limit(2) # limit the output to only 2\n", + " .do()\n", + ")\n", + "\n", + "result = response[\"data\"][\"Get\"][\"MyCollection\"]\n", + "print(json.dumps(result, indent=2))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### nearObject Example" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": { + "height": 234 + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[\n", + " {\n", + " \"_additional\": {\n", + " \"distance\": 0\n", + " },\n", + " \"title\": \"Second Object\"\n", + " },\n", + " {\n", + " \"_additional\": {\n", + " \"distance\": 0.051573694\n", + " },\n", + " \"title\": \"Fourth Object\"\n", + " },\n", + " {\n", + " \"_additional\": {\n", + " \"distance\": 0.06506646\n", + " },\n", + " \"title\": \"First Object\"\n", + " }\n", + "]\n" + ] + } + ], + "source": [ + "response = (\n", + " client.query\n", + " .get(\"MyCollection\", [\"title\"])\n", + " .with_near_object({ # the id of the the search object\n", + " \"id\": result[0]['_additional']['id']\n", + " })\n", + " .with_limit(3)\n", + " .with_additional([\"distance\"])\n", + " .do()\n", + ")\n", + "\n", + "result = response[\"data\"][\"Get\"][\"MyCollection\"]\n", + "print(json.dumps(result, indent=2))" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "height": 30 + }, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "height": 30 + }, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "height": 30 + }, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "height": 30 + }, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "height": 30 + }, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "height": 30 + }, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "height": 30 + }, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "height": 30 + }, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "height": 30 + }, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "height": 30 + }, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "height": 30 + }, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.9.18" + } + }, + "nbformat": 4, + "nbformat_minor": 4 +} diff --git "a/Courses/DeepLearning.AI Short Courses/Vector Databases: from Embeddings to Applications/\320\241\320\275\320\270\320\274\320\276\320\272 \321\215\320\272\321\200\320\260\320\275\320\260 2024-01-24 \320\262 23.00.35.png" "b/Courses/DeepLearning.AI Short Courses/Vector Databases: from Embeddings to Applications/\320\241\320\275\320\270\320\274\320\276\320\272 \321\215\320\272\321\200\320\260\320\275\320\260 2024-01-24 \320\262 23.00.35.png" new file mode 100644 index 0000000..4794486 Binary files /dev/null and "b/Courses/DeepLearning.AI Short Courses/Vector Databases: from Embeddings to Applications/\320\241\320\275\320\270\320\274\320\276\320\272 \321\215\320\272\321\200\320\260\320\275\320\260 2024-01-24 \320\262 23.00.35.png" differ diff --git "a/Courses/DeepLearning.AI Short Courses/Vector Databases: from Embeddings to Applications/\320\241\320\275\320\270\320\274\320\276\320\272 \321\215\320\272\321\200\320\260\320\275\320\260 2024-01-24 \320\262 23.01.12.png" "b/Courses/DeepLearning.AI Short Courses/Vector Databases: from Embeddings to Applications/\320\241\320\275\320\270\320\274\320\276\320\272 \321\215\320\272\321\200\320\260\320\275\320\260 2024-01-24 \320\262 23.01.12.png" new file mode 100644 index 0000000..ec38489 Binary files /dev/null and "b/Courses/DeepLearning.AI Short Courses/Vector Databases: from Embeddings to Applications/\320\241\320\275\320\270\320\274\320\276\320\272 \321\215\320\272\321\200\320\260\320\275\320\260 2024-01-24 \320\262 23.01.12.png" differ diff --git "a/Courses/DeepLearning.AI Short Courses/Vector Databases: from Embeddings to Applications/\320\241\320\275\320\270\320\274\320\276\320\272 \321\215\320\272\321\200\320\260\320\275\320\260 2024-01-24 \320\262 23.32.06.png" "b/Courses/DeepLearning.AI Short Courses/Vector Databases: from Embeddings to Applications/\320\241\320\275\320\270\320\274\320\276\320\272 \321\215\320\272\321\200\320\260\320\275\320\260 2024-01-24 \320\262 23.32.06.png" new file mode 100644 index 0000000..ca97db7 Binary files /dev/null and "b/Courses/DeepLearning.AI Short Courses/Vector Databases: from Embeddings to Applications/\320\241\320\275\320\270\320\274\320\276\320\272 \321\215\320\272\321\200\320\260\320\275\320\260 2024-01-24 \320\262 23.32.06.png" differ