13_ml/keras.ipynb

{
 "cells": [
  {
   "metadata": {},
   "cell_type": "markdown",
   "source": [
    "# Deep learning with Keras 3.0\n",
    "\n",
    "Keras is a high-level deep learning library written in Python. It provides a user-friendly and intuitive interface for building and training neural networks. One of the key features of Keras is its ability to work with different backend engines, such as [TensorFlow](https://www.tensorflow.org/), [JAX](https://jax.readthedocs.io/en/latest/) and [PyTorch](https://pytorch.org/). It offers a wide range of pre-defined layers, including `convolutional layers`, `recurrent layers`, and `dense layers`, which can be easily stacked together to create complex network architectures. It also provides a variety of `loss functions`, `optimizers`, and `metrics` for training and evaluating models.\n",
    "\n",
    "We will work with `feedforward neural networks`,  a special kind of neural networks using Keras.\n",
    "\n",
    "> Outline\n",
    "- Artificial neural networks (ANN)\n",
    "- Demo's\n",
    "    - Iris dataset\n",
    "    - MNIST (handwritten digits)\n"
   ],
   "id": "a7ffd582ce04d72a"
  },
  {
   "metadata": {},
   "cell_type": "markdown",
   "source": [
    "## Artificial neural network\n",
    "\n",
    "An artificial neural network (ANN) is a computational model inspired by the biological neural networks found in the brain. It is a machine learning algorithm that can be trained to recognize patterns and make predictions based on input data. We will be working with the `feedforward neural network`, which are basically directed acyclic graphs. The networks consist of interconnected nodes, called `artificial neurons` or `units`, organized into `layers`. There is the `input` and `output` layers and in between them possibly one or more `hidden` layers.\n"
   ],
   "id": "6466c28f207ddff7"
  },
  {
   "metadata": {},
   "cell_type": "markdown",
   "source": [
    "__Single layer perceptron (SLP)__"
   ],
   "id": "d8531bc37e1143dd"
  },
  {
   "metadata": {},
   "cell_type": "markdown",
   "source": [
    "SLP is the simplest feedforward neural network. It can solve various logical or classification problems.\n",
    "\n",
    "$$\n",
    "output = f(w \\cdot x + b)\n",
    "$$\n",
    "\n",
    "with $f$ the `activation` function, e.g. `binary step`, `sigmoid`, `ReLU`, etc."
   ],
   "id": "96e350237e3d7562"
  },
  {
   "metadata": {},
   "cell_type": "markdown",
   "source": [
    "![image.png](data:image/png;base64,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)"
   ],
   "id": "6ef34b21fcd0c925"
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-05-14T05:44:01.165445Z",
     "start_time": "2024-05-14T05:43:59.111806Z"
    }
   },
   "cell_type": "code",
   "source": [
    "from ml_utils import Profile\n",
    "Profile.activations()"
   ],
   "id": "1bcdae75609dcbd7",
   "outputs": [
    {
     "data": {
      "text/plain": "<Figure size 640x480 with 4 Axes>",
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "execution_count": 1
  },
  {
   "metadata": {},
   "cell_type": "markdown",
   "source": [
    "__Neural networks with hidden layers__"
   ],
   "id": "1efefbc2c0a2014f"
  },
  {
   "metadata": {},
   "cell_type": "markdown",
   "source": [
    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)"
   ],
   "id": "82aa08f9e7da623c"
  },
  {
   "metadata": {},
   "cell_type": "markdown",
   "source": [
    "## Learning\n",
    "\n",
    "The input layer receives data, which is then processed through one or more hidden layers, and finally produces an output in the output layer. During training, the ANN adjusts the weights to minimize the difference between its predicted output and the desired output, using a technique called `backpropagation`, which involves a minimisation such as `stochastic gradient descent (SGD)`. This process involves propagating the error backward through the network, updating the weights accordingly, and iteratively repeating this process until the network learns to produce accurate predictions.\n",
    "\n",
    "The full review of the process is beyond the scope of this demo.\n"
   ],
   "id": "d6b5cd721132e33"
  },
  {
   "metadata": {},
   "cell_type": "markdown",
   "source": [
    "## (1) Iris dataset\n",
    "\n",
    "Here we create a network with:\n",
    "- input layer with 4 neurons one for each feature\n",
    "- hidden layer with 16 neurons\n",
    "- output layer with 3 neurons, one for each Iris class."
   ],
   "id": "da4e531a2f9982d"
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-05-14T05:44:01.167972Z",
     "start_time": "2024-05-14T05:44:01.166373Z"
    }
   },
   "cell_type": "code",
   "source": [
    "import keras\n",
    "import numpy as np"
   ],
   "id": "2e2cd8f4f019709d",
   "outputs": [],
   "execution_count": 2
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-05-14T05:44:01.173278Z",
     "start_time": "2024-05-14T05:44:01.168629Z"
    }
   },
   "cell_type": "code",
   "source": [
    "# Data preparation\n",
    "from ml_utils import Iris\n",
    "iris = Iris('data/iris.csv')\n",
    "x_train, x_test, y_train, y_test = iris.load_data(test_size=0.2)\n",
    "# one-hot / dummy matrix \n",
    "y_train_oh = keras.utils.to_categorical(y_train)\n",
    "y_test_oh = keras.utils.to_categorical(y_test)"
   ],
   "id": "4ff694adea336db3",
   "outputs": [],
   "execution_count": 3
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-05-14T05:44:01.192073Z",
     "start_time": "2024-05-14T05:44:01.174214Z"
    }
   },
   "cell_type": "code",
   "source": [
    "import keras \n",
    "\n",
    "model = keras.Sequential(\n",
    "    [\n",
    "        keras.layers.Input(shape=(4,), name=\"In\"),\n",
    "        keras.layers.Dense(16, activation='relu', name=\"L1\"),\n",
    "        keras.layers.Dense(3, activation='softmax', name=\"Out\")\n",
    "    ]\n",
    ")\n",
    "\n",
    "model.summary()"
   ],
   "id": "c254c38ac75f5bed",
   "outputs": [
    {
     "data": {
      "text/plain": "\u001B[1mModel: \"sequential\"\u001B[0m\n",
      "text/html": "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"font-weight: bold\">Model: \"sequential\"</span>\n</pre>\n"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": "┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┳━━━━━━━━━━━━━━━━━━━━━━━━┳━━━━━━━━━━━━━━━┓\n┃\u001B[1m \u001B[0m\u001B[1mLayer (type)                   \u001B[0m\u001B[1m \u001B[0m┃\u001B[1m \u001B[0m\u001B[1mOutput Shape          \u001B[0m\u001B[1m \u001B[0m┃\u001B[1m \u001B[0m\u001B[1m      Param #\u001B[0m\u001B[1m \u001B[0m┃\n┡━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━╇━━━━━━━━━━━━━━━━━━━━━━━━╇━━━━━━━━━━━━━━━┩\n│ L1 (\u001B[38;5;33mDense\u001B[0m)                      │ (\u001B[38;5;45mNone\u001B[0m, \u001B[38;5;34m16\u001B[0m)             │            \u001B[38;5;34m80\u001B[0m │\n├─────────────────────────────────┼────────────────────────┼───────────────┤\n│ Out (\u001B[38;5;33mDense\u001B[0m)                     │ (\u001B[38;5;45mNone\u001B[0m, \u001B[38;5;34m3\u001B[0m)              │            \u001B[38;5;34m51\u001B[0m │\n└─────────────────────────────────┴────────────────────────┴───────────────┘\n",
      "text/html": "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\">┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┳━━━━━━━━━━━━━━━━━━━━━━━━┳━━━━━━━━━━━━━━━┓\n┃<span style=\"font-weight: bold\"> Layer (type)                    </span>┃<span style=\"font-weight: bold\"> Output Shape           </span>┃<span style=\"font-weight: bold\">       Param # </span>┃\n┡━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━╇━━━━━━━━━━━━━━━━━━━━━━━━╇━━━━━━━━━━━━━━━┩\n│ L1 (<span style=\"color: #0087ff; text-decoration-color: #0087ff\">Dense</span>)                      │ (<span style=\"color: #00d7ff; text-decoration-color: #00d7ff\">None</span>, <span style=\"color: #00af00; text-decoration-color: #00af00\">16</span>)             │            <span style=\"color: #00af00; text-decoration-color: #00af00\">80</span> │\n├─────────────────────────────────┼────────────────────────┼───────────────┤\n│ Out (<span style=\"color: #0087ff; text-decoration-color: #0087ff\">Dense</span>)                     │ (<span style=\"color: #00d7ff; text-decoration-color: #00d7ff\">None</span>, <span style=\"color: #00af00; text-decoration-color: #00af00\">3</span>)              │            <span style=\"color: #00af00; text-decoration-color: #00af00\">51</span> │\n└─────────────────────────────────┴────────────────────────┴───────────────┘\n</pre>\n"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": "\u001B[1m Total params: \u001B[0m\u001B[38;5;34m131\u001B[0m (524.00 B)\n",
      "text/html": "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"font-weight: bold\"> Total params: </span><span style=\"color: #00af00; text-decoration-color: #00af00\">131</span> (524.00 B)\n</pre>\n"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": "\u001B[1m Trainable params: \u001B[0m\u001B[38;5;34m131\u001B[0m (524.00 B)\n",
      "text/html": "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"font-weight: bold\"> Trainable params: </span><span style=\"color: #00af00; text-decoration-color: #00af00\">131</span> (524.00 B)\n</pre>\n"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": "\u001B[1m Non-trainable params: \u001B[0m\u001B[38;5;34m0\u001B[0m (0.00 B)\n",
      "text/html": "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"font-weight: bold\"> Non-trainable params: </span><span style=\"color: #00af00; text-decoration-color: #00af00\">0</span> (0.00 B)\n</pre>\n"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "execution_count": 4
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-05-14T05:44:01.397616Z",
     "start_time": "2024-05-14T05:44:01.192687Z"
    }
   },
   "cell_type": "code",
   "source": [
    "keras.utils.plot_model(model, show_shapes=True,show_layer_names=True,dpi=100,show_layer_activations=True)"
   ],
   "id": "87e9a1ac283db489",
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": "<IPython.core.display.Image object>"
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "execution_count": 5
  },
  {
   "metadata": {},
   "cell_type": "code",
   "source": [
    "model.compile(\n",
    "    loss=keras.losses.CategoricalCrossentropy(),\n",
    "    optimizer=keras.optimizers.Adam(),\n",
    "    metrics=[        \n",
    "        keras.metrics.CategoricalAccuracy(name=\"accuracy\"),\n",
    "    ],\n",
    ")\n",
    "\n",
    "history = model.fit(\n",
    "    x_train,\n",
    "    y_train_oh,\n",
    "    validation_data=(x_test, y_test_oh),\n",
    "    batch_size=5,\n",
    "    epochs=100,\n",
    "    shuffle=True,\n",
    "    verbose=1\n",
    ")"
   ],
   "id": "f886ecc298b06f04",
   "outputs": [],
   "execution_count": null
  },
  {
   "metadata": {},
   "cell_type": "markdown",
   "source": [
    "### Loss/accuracy curves"
   ],
   "id": "71363670e1379a13"
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-05-14T05:44:03.953462Z",
     "start_time": "2024-05-14T05:44:03.686033Z"
    }
   },
   "cell_type": "code",
   "source": [
    "Profile(history).plot0()"
   ],
   "id": "d966219147eb3547",
   "outputs": [
    {
     "data": {
      "text/plain": "<Figure size 1000x400 with 2 Axes>",
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "execution_count": 7
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-05-14T05:44:03.959144Z",
     "start_time": "2024-05-14T05:44:03.955214Z"
    }
   },
   "cell_type": "code",
   "source": [
    "history.history.keys()"
   ],
   "id": "b0ae8b8401a288be",
   "outputs": [
    {
     "data": {
      "text/plain": "dict_keys(['accuracy', 'loss', 'val_accuracy', 'val_loss'])"
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "execution_count": 8
  },
  {
   "metadata": {},
   "cell_type": "markdown",
   "source": [
    "When the architecture of the model is defined, we need to specify the details of the learning procedure. It is done using the method `.compile()`. The main parameters  are:\n",
    "\n",
    "- `loss` - loss function - a function whose value is minimized throughout the training;\n",
    "- `optimizer` - optimization algorithm that is used for parameters' update. For most of the tasks, the __Adam optimizer__ works the best, but [optimisers](https://keras.io/api/optimizers/) for more options.\n",
    "- `metrics` - quality metrics that are being evaluated and reported throughout the training procedure.\n",
    "\n",
    "To train the model, similarly as in Scikit-learn, we use the method `.fit()`. The main parameters are:\n",
    "- `x` - input data;\n",
    "- `y` - target data;\n",
    "- `batch size` - number of training samples that need to go through the model before the weights and biases of the model will be updated;\n",
    "- `epochs` - number of times the complete dataset will be passed through the network;\n"
   ],
   "id": "447cf4462ea206e6"
  },
  {
   "metadata": {},
   "cell_type": "markdown",
   "source": [
    "### Over/Under-fitting\n",
    "\n",
    "Models are optimised to best fit the training data. The process may be exaggerated thus far that the `training error`, model's error on training data, is minimised. However, this will not guarantee the model's performance on unobserved input, i.e. high `test error`.\n",
    "\n",
    "- Overfitting  : model fails to perform on new input, large difference between training and test error\n",
    "- Underfitting : model fails to fit the data, i.e. high training error"
   ],
   "id": "d9879b137525da70"
  },
  {
   "metadata": {},
   "cell_type": "markdown",
   "source": [
    "\n",
    "### (2) MNIST dataset\n",
    "\n",
    "The [MNIST](https://en.wikipedia.org/wiki/MNIST_database) database is a well-known collection of handwritten digit images used for training and testing machine learning algorithms, particularly in the field of image recognition. MNIST stands for Modified National Institute of Standards and Technology database. The database contains 60,000 training examples and 10,000 testing examples. Each example is a grayscale image of a handwritten digit (0 to 9) with a resolution of 28x28 pixels. The images are normalized and centered, making them consistent for analysis.\n"
   ],
   "id": "70596577747ab404"
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-05-14T05:44:04.076356Z",
     "start_time": "2024-05-14T05:44:03.960469Z"
    }
   },
   "cell_type": "code",
   "source": [
    "# Import the dataset from the Keras collection (requires tensorflow,tensorrt)\n",
    "from keras.api.datasets import mnist\n",
    "# Load the data\n",
    "(x_train, y_train), (x_test, y_test) = mnist.load_data()"
   ],
   "id": "1c0f340f36c5a5b0",
   "outputs": [],
   "execution_count": 9
  },
  {
   "metadata": {},
   "cell_type": "markdown",
   "source": [
    "The data is already divided into separate training and test sets."
   ],
   "id": "86b02545c7d00e53"
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-05-14T05:44:04.080278Z",
     "start_time": "2024-05-14T05:44:04.078328Z"
    }
   },
   "cell_type": "code",
   "source": [
    "type(x_train), x_train.shape"
   ],
   "id": "5d69a48ecf9b835e",
   "outputs": [
    {
     "data": {
      "text/plain": "(numpy.ndarray, (60000, 28, 28))"
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "execution_count": 10
  },
  {
   "metadata": {},
   "cell_type": "markdown",
   "source": [
    "The training set is composed of 60000 matrices of the shape 28x28. We can visualise the content of the matrix with the matplotlib function `.imshow()`. Below is a sample of 100:"
   ],
   "id": "44b80660a9d9a538"
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-05-14T05:44:06.378641Z",
     "start_time": "2024-05-14T05:44:04.080830Z"
    }
   },
   "cell_type": "code",
   "source": [
    "import seaborn as sb\n",
    "import matplotlib.pyplot as plt\n",
    "fig, axes = plt.subplots(10,10,figsize=(5,5))\n",
    "fig.suptitle(\"MNIST sample\")\n",
    "for i in range(10):\n",
    "    for j in range(10):\n",
    "        axes[i,j].grid('on')\n",
    "        axes[i,j].set_xticklabels([])\n",
    "        axes[i,j].set_yticklabels([])\n",
    "        axes[i,j].imshow(x_train[(i+1)*(j+1)-1], cmap='Greys')\n"
   ],
   "id": "c6286ef00219c05a",
   "outputs": [
    {
     "data": {
      "text/plain": "<Figure size 500x500 with 100 Axes>",
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "execution_count": 11
  },
  {
   "metadata": {},
   "cell_type": "markdown",
   "source": [
    "Here is the type and dimensions of each matrix:"
   ],
   "id": "abc3f4e6bfb9f2ea"
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-05-14T05:44:06.385028Z",
     "start_time": "2024-05-14T05:44:06.379455Z"
    }
   },
   "cell_type": "code",
   "source": [
    "print(x_train.shape, x_train.dtype, x_train.min(), x_train.max())\n",
    "print(y_train.shape, y_train.dtype, y_train.min(), y_train.max())"
   ],
   "id": "a0e0501c1faf6d9",
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(60000, 28, 28) uint8 0 255\n",
      "(60000,) uint8 0 9\n"
     ]
    }
   ],
   "execution_count": 12
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-05-14T05:44:06.450009Z",
     "start_time": "2024-05-14T05:44:06.385606Z"
    }
   },
   "cell_type": "code",
   "source": [
    "# Rescale/normalise ( grey-scale [0,255] to [0,1] )\n",
    "x_train= x_train/255\n",
    "x_test=x_test/255\n",
    "x_train.min(), x_train.max()"
   ],
   "id": "a38fa17cd78793b1",
   "outputs": [
    {
     "data": {
      "text/plain": "(0.0, 1.0)"
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "execution_count": 13
  },
  {
   "metadata": {},
   "cell_type": "markdown",
   "source": [
    "The second step is to __reshape__ the image so that it can be \"fed\" into ML model.\n",
    "\n",
    "Each image should be represented as 3D tensor:\n",
    "- First two dimensions of which correspond to the actual shape of an image (in our case 28x28),\n",
    "- The third dimension tells how many color channels has the image.\n",
    "\n",
    "The MNIST images are grayscale, so the color channel is only one -> the last dimension of the resulting tensor should be equal to 1.\n",
    "\n",
    "Beware that in case of Red-Green-Blue (RGB) images (with three color channels) the last dimension has to be equal to 3."
   ],
   "id": "4e7ddb6678eb39"
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-05-14T05:44:06.452659Z",
     "start_time": "2024-05-14T05:44:06.450612Z"
    }
   },
   "cell_type": "code",
   "source": [
    "x_train = x_train.reshape(-1, 28, 28, 1)\n",
    "x_test = x_test.reshape(-1, 28, 28, 1)\n",
    "x_train.shape,x_test.shape"
   ],
   "id": "cc1bf40db8936494",
   "outputs": [
    {
     "data": {
      "text/plain": "((60000, 28, 28, 1), (10000, 28, 28, 1))"
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "execution_count": 14
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-05-14T05:44:06.455965Z",
     "start_time": "2024-05-14T05:44:06.453171Z"
    }
   },
   "cell_type": "code",
   "source": [
    "# One-Hot encoding of training labels\n",
    "y_train_oh = np.eye(10)[y_train]\n",
    "y_test_oh = np.eye(10)[y_test]\n",
    "y_train_oh[0], y_train[0]"
   ],
   "id": "9f7e658b41846fab",
   "outputs": [
    {
     "data": {
      "text/plain": "(array([0., 0., 0., 0., 0., 1., 0., 0., 0., 0.]), 5)"
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "execution_count": 15
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-05-14T05:44:06.468620Z",
     "start_time": "2024-05-14T05:44:06.456523Z"
    }
   },
   "cell_type": "code",
   "source": [
    "model = keras.Sequential(\n",
    "    [\n",
    "        keras.layers.Input(shape=(28,28,1)),\n",
    "        keras.layers.Flatten(name=\"In\"),\n",
    "        keras.layers.Dense(16, activation='relu', name=\"L1\"),\n",
    "        keras.layers.Dense(16, activation='relu', name=\"L2\"),\n",
    "        keras.layers.Dense(10, activation='softmax', name=\"Out\")\n",
    "    ]\n",
    ")\n",
    "model.summary()"
   ],
   "id": "e21732cf018a6580",
   "outputs": [
    {
     "data": {
      "text/plain": "\u001B[1mModel: \"sequential_1\"\u001B[0m\n",
      "text/html": "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"font-weight: bold\">Model: \"sequential_1\"</span>\n</pre>\n"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": "┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┳━━━━━━━━━━━━━━━━━━━━━━━━┳━━━━━━━━━━━━━━━┓\n┃\u001B[1m \u001B[0m\u001B[1mLayer (type)                   \u001B[0m\u001B[1m \u001B[0m┃\u001B[1m \u001B[0m\u001B[1mOutput Shape          \u001B[0m\u001B[1m \u001B[0m┃\u001B[1m \u001B[0m\u001B[1m      Param #\u001B[0m\u001B[1m \u001B[0m┃\n┡━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━╇━━━━━━━━━━━━━━━━━━━━━━━━╇━━━━━━━━━━━━━━━┩\n│ In (\u001B[38;5;33mFlatten\u001B[0m)                    │ (\u001B[38;5;45mNone\u001B[0m, \u001B[38;5;34m784\u001B[0m)            │             \u001B[38;5;34m0\u001B[0m │\n├─────────────────────────────────┼────────────────────────┼───────────────┤\n│ L1 (\u001B[38;5;33mDense\u001B[0m)                      │ (\u001B[38;5;45mNone\u001B[0m, \u001B[38;5;34m16\u001B[0m)             │        \u001B[38;5;34m12,560\u001B[0m │\n├─────────────────────────────────┼────────────────────────┼───────────────┤\n│ L2 (\u001B[38;5;33mDense\u001B[0m)                      │ (\u001B[38;5;45mNone\u001B[0m, \u001B[38;5;34m16\u001B[0m)             │           \u001B[38;5;34m272\u001B[0m │\n├─────────────────────────────────┼────────────────────────┼───────────────┤\n│ Out (\u001B[38;5;33mDense\u001B[0m)                     │ (\u001B[38;5;45mNone\u001B[0m, \u001B[38;5;34m10\u001B[0m)             │           \u001B[38;5;34m170\u001B[0m │\n└─────────────────────────────────┴────────────────────────┴───────────────┘\n",
      "text/html": "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\">┏━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━┳━━━━━━━━━━━━━━━━━━━━━━━━┳━━━━━━━━━━━━━━━┓\n┃<span style=\"font-weight: bold\"> Layer (type)                    </span>┃<span style=\"font-weight: bold\"> Output Shape           </span>┃<span style=\"font-weight: bold\">       Param # </span>┃\n┡━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━╇━━━━━━━━━━━━━━━━━━━━━━━━╇━━━━━━━━━━━━━━━┩\n│ In (<span style=\"color: #0087ff; text-decoration-color: #0087ff\">Flatten</span>)                    │ (<span style=\"color: #00d7ff; text-decoration-color: #00d7ff\">None</span>, <span style=\"color: #00af00; text-decoration-color: #00af00\">784</span>)            │             <span style=\"color: #00af00; text-decoration-color: #00af00\">0</span> │\n├─────────────────────────────────┼────────────────────────┼───────────────┤\n│ L1 (<span style=\"color: #0087ff; text-decoration-color: #0087ff\">Dense</span>)                      │ (<span style=\"color: #00d7ff; text-decoration-color: #00d7ff\">None</span>, <span style=\"color: #00af00; text-decoration-color: #00af00\">16</span>)             │        <span style=\"color: #00af00; text-decoration-color: #00af00\">12,560</span> │\n├─────────────────────────────────┼────────────────────────┼───────────────┤\n│ L2 (<span style=\"color: #0087ff; text-decoration-color: #0087ff\">Dense</span>)                      │ (<span style=\"color: #00d7ff; text-decoration-color: #00d7ff\">None</span>, <span style=\"color: #00af00; text-decoration-color: #00af00\">16</span>)             │           <span style=\"color: #00af00; text-decoration-color: #00af00\">272</span> │\n├─────────────────────────────────┼────────────────────────┼───────────────┤\n│ Out (<span style=\"color: #0087ff; text-decoration-color: #0087ff\">Dense</span>)                     │ (<span style=\"color: #00d7ff; text-decoration-color: #00d7ff\">None</span>, <span style=\"color: #00af00; text-decoration-color: #00af00\">10</span>)             │           <span style=\"color: #00af00; text-decoration-color: #00af00\">170</span> │\n└─────────────────────────────────┴────────────────────────┴───────────────┘\n</pre>\n"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": "\u001B[1m Total params: \u001B[0m\u001B[38;5;34m13,002\u001B[0m (50.79 KB)\n",
      "text/html": "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"font-weight: bold\"> Total params: </span><span style=\"color: #00af00; text-decoration-color: #00af00\">13,002</span> (50.79 KB)\n</pre>\n"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": "\u001B[1m Trainable params: \u001B[0m\u001B[38;5;34m13,002\u001B[0m (50.79 KB)\n",
      "text/html": "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"font-weight: bold\"> Trainable params: </span><span style=\"color: #00af00; text-decoration-color: #00af00\">13,002</span> (50.79 KB)\n</pre>\n"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": "\u001B[1m Non-trainable params: \u001B[0m\u001B[38;5;34m0\u001B[0m (0.00 B)\n",
      "text/html": "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"font-weight: bold\"> Non-trainable params: </span><span style=\"color: #00af00; text-decoration-color: #00af00\">0</span> (0.00 B)\n</pre>\n"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "execution_count": 16
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-05-14T05:44:06.470884Z",
     "start_time": "2024-05-14T05:44:06.469250Z"
    }
   },
   "cell_type": "code",
   "source": [
    "28*28, 28*28*16+16, 16*16+16,16*10+10 "
   ],
   "id": "b4e709a474887e8a",
   "outputs": [
    {
     "data": {
      "text/plain": "(784, 12560, 272, 170)"
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "execution_count": 17
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-05-14T05:44:06.657909Z",
     "start_time": "2024-05-14T05:44:06.471349Z"
    }
   },
   "cell_type": "code",
   "source": [
    "keras.utils.plot_model(model, show_shapes=True,show_layer_names=True,dpi=100,show_layer_activations=True)"
   ],
   "id": "b8ae99f30d1c7885",
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": "<IPython.core.display.Image object>"
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "execution_count": 18
  },
  {
   "metadata": {},
   "cell_type": "code",
   "source": [
    "# Load the data\n",
    "(x_train, y_train), (x_test, y_test) = mnist.load_data()\n",
    "\n",
    "# Compile\n",
    "model.compile(\n",
    "    loss=keras.losses.CategoricalCrossentropy(),\n",
    "    optimizer=keras.optimizers.Adam(learning_rate=1e-3),\n",
    "    metrics=[        \n",
    "        keras.metrics.CategoricalAccuracy(name=\"accuracy\"),\n",
    "    ],\n",
    ")\n",
    "\n",
    "# Fit\n",
    "history = model.fit(\n",
    "    x_train,\n",
    "    y_train_oh,\n",
    "    validation_data=(x_test, y_test_oh),\n",
    "    batch_size=128,\n",
    "    epochs=50,\n",
    "    validation_split=0.0,\n",
    "    shuffle=True,\n",
    "    verbose=1\n",
    ")"
   ],
   "id": "70378c95fb5611ff",
   "outputs": [],
   "execution_count": null
  },
  {
   "metadata": {},
   "cell_type": "markdown",
   "source": [
    "### Loss/accuracy curves "
   ],
   "id": "52e6a50ce0d9e158"
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-05-14T05:44:19.384076Z",
     "start_time": "2024-05-14T05:44:19.143157Z"
    }
   },
   "cell_type": "code",
   "source": [
    "Profile(history).plot0()"
   ],
   "id": "2d71fe5faa9bd84f",
   "outputs": [
    {
     "data": {
      "text/plain": "<Figure size 1000x400 with 2 Axes>",
      "image/png": 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++mquvvrqQ4796aefmDx5Mps2baJTp0785z//oXnz5hUcsYjI8ckt8LE+u4ANOQWszy5kfXYBG3MK2b7Hjd1qwWmz4LJZcNqsob/bLVgtBqYJJoBpYob+wAQCQRN/0Nz3Z5DAvr8HzNAkRJGiv5kmBE2z2OsC++4Hj9Bf6Zod+dzYs1H5JQYVSyWSW+gDYMvu8m1PLCIikTd58mSWLl3KrFmz2Lp1K+PGjaN+/foMGDCg2LjVq1dz/fXXM2LECM4991zefvttrrjiCj7//HNiYmIiFL2IlLegaWJAiTt/mqaJL2BisRhYjZK/rkggaLIhp4AVO/JYuTOPFTvy2FXgw2UziHPaiHPaiA3/acUbMNnj9rG70B/60+1nd6GPfG9oNiZc4OyLzQR8R+j46g2EZnQizWE1iHbYiLZbiHbYiHfZOOOE1HI/roqlEnDaQpd2eXw1uxuWiEh1V1BQwFtvvcVzzz1H+/btad++PatXr2b27NkHFUuvvfYaaWlp/Otf/wLgtttu47vvvuOjjz7i4osvjkT4ItWOaZrkewNk5XvJKfCRU+jDsWkPe/YWhjfJLvrTYoFa0Q5qxzqoHeMk1nnwZtmmaZJb6GNnnpfMPA9Z+V48/tDshy9g4gsE8QVN/IEgBd4Au92hgmPPvoJjt9tPvjeAAditBnarBZsl9KfdamAYBr5AEK8/9H7eQBD/36ZGQuMNbBZL+O9RdivRDisuu5Vou5UouwWHzcKmHDerM/NwH6UjaxRuelj+oodlBZlmInMDPdlJUqlyXS/eSZOkaJrUiqJprdCf9RNcBIPg9gfw+IN4/EHc/iAeX4Ci+ipUOIb+xDAw9n2N1n03276b1RLKT9H48GtDrwyPtx4w3moxsFsMYhxWbNbirRYMA1JS4ti1a2+pvs7SUrFUAi576B/H7Y98VS0iFWfbtq0MGzaIqVP/x5QpD7N7dy5nn30egwYN5sEH72XDhnV06dKNCRMeJDo6hvfff4fZs2eRm5tDmzbt+Pe/x9KiRUsAMjN38r///Zc//vgdj8dNs2bNufnm2+jYsTMAb731Oq+//go5Odk0a9aC0aNvoVOnzixY8AejR9/ATz/9EY7rwQcnAHDnnRN4/vnprFmzij179pCRsZaHHppC+/YdePrpx5kz5zMAevQ4mZtvvpX4+IQKzV9VtGLFCvx+P2lpaeHHunbtyjPPPEMwGMRi2X+y3rRpEx07dgzfNwyD1q1bs3DhQhVLIoAvEGTbHg+5hT5iHNbwDEiU3RIuYkzTJLvAx6acQjbmFrIpp5BNuYVs3e0OFUiFviPOehyJ02bZVzg5CJqQmechM997zO93IBPwBky8gdL/bujft9QMSv4hfJTdQps6sbSpE0u71FjaN0miYO184rf9RJ1dP5O6ZxE20xcef7f9FbbEd2FzvYHkNj6T6IQUYhw2LEZRYWPsL3CAxCg7Ll2Xf0gqlkrAZQt983hq+D4rIjXVSy+9wMMPP8K6dWu59967+PXXudxyyzicThe3334LH330Pg0aNOKFF55l7Ni7aNy4CZ9//gmjR1/Pa6+9R3x8PPfddzexsXFMn/4CwWCQZ555gqlTH2bWrNdZtWoFTz/9Px58cArNmjXnrbde4z//Gcd7731Wovh+/PF7br31dtq370Djxk2YPv0pVqxYzpQp/8PpdDF9+lPcffft/O9/08o5U1VfZmYmSUlJOBz794pKSUnB4/GQm5tLrVq1ij2+Y8eOYq/fvn07CQmlK0qPtiIn/AlsDd7rVzkIiWQeTNNkx14Pm3PdB8zCmPiCQfz7ZlAy87xs3e1my+5QsbNzr5dDlSVWA2JdNmIdNnL3LQ87mhiHlaRoO0lRdhJinPh8/vBzRbMV/qBJVr6XXfle9rj9ePxBNue62Zx78GUUSVF2asc5SIlxEGW3hmaJLBZs+2aLHNbQNToJUXbiXTYSXDbio+wkuELL3UJL10KzRkUzUn5vIYbfgxGViMNq4LCFZo4cVgt2q4Wgae4bHyTgcxOf8SF1VryIM38rO+r1Y22DIWyJ6UChP0iBL4DbF6RuvJO2dWJplBSF1TCxbf0N16rncP0+B/J3FvuaAnEN8TU8BWvOWuzb/6Dhnvk03DMfc/UkfI374GnWH9MejWEGwQzum5IzwQwSjK2Hv24XTEdc6b4x9rHs3Ypj7Sc4V3+ENXslntbnU3DKncf8fkdiFGbhWv4ajvVfwan/xqjT59jep4T/j1QslYCzaGbJp5klkZro6quvo2XLVrRs2YrHH3+E008/k5NO6glAt27d2bBhPd9//y3Dh1/FKaf0BuC6627kl1/m8uWXnzJ06EX07n0ap53Wlzp1Quurhwy5kNtuCy3f2rZtG4ZhULduXerVq891193EySf3Jhgs2Qc0tWolM3jwBQC43W7effdNZsx4OTyrdffd93H22f1Yu3ZN+DE5tMLCwmKFEhC+7/V6iz0+cOBAbrrpJs455xx69+7NRx99xJIlS+jRo0epjpmcXLJfJko6rjpTDkLKKg+maR7y+plg0GRjdgFLt+5m6ZY9LNu6m6VbdpNT4DvEuxyZy24hOcZJgdfPXrc/dPG+CbsL/ewuDBU8hgH1E6JolhJD05RomibH0CQ5hjpxTpJjHaTEOks96+H2Bdi5x8POvW6273FjYFA3wUlqvIvacU6ctjKaRTFN2LIA/nwJlr4Lnr3Q8CRoexa0PQdSWhUfX5ANv78I854tVuw02PQBDTZ9ACmtocvl0P3/ICYl9OT2pbDoTVjyDuzZvP+97DHQrDe06Ast+mFNboG16N8zdyMsfQeWvIOxYwmO9V+FiosjMSyQ2h4a9YTG+24JDQ8/fvdmWP4BLHsfNs8r9lTUsleI2vQdDPoftDz9yMfNzoDVcyC+ATToCvH1Dj1u83z4/bnQ1xXY9/N4658ktzvnyO9/nFQslYBmlkRqtvr1G4T/7nQ6qVu3XrH7Pp+PDRvW8fTTTzB9+lPh57xeL5s2bcQwDM4//wK++uoLli5dzIYN61m5ckW4GOrRoxfNm7fk8ssvpnXrNqSn92HQoPOx2Ur2I/rAeLZu3YzP5+OGG64qNiYYDLJp0wYVS0fhdDoPKoqK7rtcrmKPn3rqqfzzn/9k1KhRBAIBevTowXnnnUdeXl6pjpmVtRfzCKuCDCP0y/HRxlVnykHI0fIQNE28/iCF+2YlCn2hFss793rZuidUNGzb42HbHjfbdnvY69lXrOx7b8MwsBih3///fp0NhK4paZDgwmWzYNt3jY7dsv+6nVoxDuonuGiw71Y/wUWtaHuxJXduX5C9Hj95Hj97PX5inTYaJkaFrw8/SCBA3u4Civ5XleZ7IRpoGmunaay92PvtzS3geK9yMQqzcK58F9fy17Flryz+5OZ5odtXE/AntcTb7Ex8DU/GkfEFrhVvYvhDM12B2Hq4O16Nv05HnCvfxbn6Q4xdq+DLuzC/uhdvk75Yd68v9v5BRxzeFmfh6nYxWXEdMS3O/cfNOvBnTxK0vRbaXos1exXO1R9g2zZ/X/AGYNn3jx7KuzVnDdY9G2H7ktDt9+dCx4uujWmLOjgBZhDr3v2Fm4mBv353PC3PIRjXkJgfJ2DdswFeGYq73UXkp/8H05lQ7PX2jd8RtfhF7Bu+xThgDjIQk4o/tTP+Omn4Uztjyd+Oa/EL2HcuCo/x1emEp+OVxPYafsw/F4q+l45GxVIJ7L9mScWSSE1ktRb/UXngdStFAoEAo0ePoVu37sUej4mJIRgM8u9//5O9e/fSr98ZnHLKqfh8Pu688zYg9Ev4s8++yMKFC5g79wc+/fQj3n//HZ5//uVDfuobCASwWvd/KnrgTEhg3/r5p5+eQVRU8f0nDlxCJoeWmppKTk4Ofr8/XKxmZmbicrmIj48/aPyNN97INddcw969e0lOTuZf//oXDRo0OGjckZgmJTrRl3RcdVZjc2AGcS1/lagls8DhwGVJJNtIYLs/jvXuGFblR5HhjmaLP4FMM4Fs4jA5TPFxqLenaEWWSdEaGofVoGXtWNrWiaVNnWi6OTbRMu93HIU78KV2xle/F8G4kn2v7/83M3DZQ00M6rrXErPgYax7NoWWhO1bDmaYoT8xDIKOOExnAqYzgaAzHtOZiOlKgKQUHB4Lpi0a0x6NaYvCtMdg2mMIOhMwXYlgdRw+oGNlmtg3/0TU0pdwrJ+DEQwVm6bViafF2bjbXUQgsRmO9V/jXPc59s0/Y8tZgy1nDSzY/0GaL+VECjuPwNPyXLCGCjlvg1PIS5+Ac9UHuP56DfvORTjXfRF6f4sDb9O+uFufj7dJPwy7C1dKHOaukhUJ/qTW+LvfdtRxlvzt2Lb9gX3b79i3/4EtcymWgszDpwMDX71QgeRtMZBgTN3wc54GpxDz6ySiFs/E9dcb2Dd+R95pk/DV7YZrxZtELZkVKqb28dbvicWzG2v2Sqz5O7BmfIEz44vix7M48LQ6l8IOV+JPTcMwINZqxzTd5fpzQcVSCbiKuuH5gwRNE0tNXzQtIgdp1KgJmZk7adhw/34PDz10L6eeehr16zdg4cIFfPTRHJKSQt2J3n33LSD0SeuyZUuYP/93rrjiGrp06cb1149k0KD+LF68kNTU0MmnoCCf6OhQO+qtW7fQqFHjQ8bRoEFDrFYru3fvplWrNgDk5GQzceL9jB49Jvwecmjt2rXDZrOxcOFCunXrBsD8+fPp0KHDQUXyxx9/zKJFi7jzzjtJTk7G7Xbz22+/8fDDD0cidKmmrJnLsH89jrisheHHYvbdGgEnhQfuuwF+00I2CWQZiWQbSeTZU3BH1cWMrYs1oQFRtRoSX7sJ8fFJYBj7iiUzvNcNQB1yiNr6E46N3+OY/yOWwqzw8aOWhP4MxDXC16An3vq98DXoSTCu0dEvBPEVEvPHo0T9OR3DPPLlDUdaKHe0+YCgPQbTlUTQmYjpSsJf+0QK0m7AjEo+yisPZnj34lzxNlFLZ4UKn318dTrhbncxnlaDis2auE8cjvvE4RiePTg2fotj3ZfYt/6Kf1+R5Gtw8iHzZDricJ94Ge4TL8OauQznus8JxtbD0/ysUAFYzoIxdfG2PAdvy33L2rz52HLXQPDQ/06BuIaYMXUO/Wb2aPJ734un5TnEfT0G2+51JHxyJabFgREMzdYHHfG4212E+8ThBBL37U/nK8CeuQTbzkXYdizEvnMhpmENjTvh/47p3+94RbRY2rBhA/fddx8LFiwgISGByy67jGuvvfaQY5cvX84999zDqlWraNmyJffeey8nnnhihcR54LpWrz+obiEicpCLL76Uhx9+gEaNGtOhQyc++OBdvvlmDsOHX4XT6cRisfD111+Qnt6Hv/5axsyZ04HQEi+n08kLLzxHrVrJdOvWnYULF1BYWEiLFq2oXbs2TqeTWbNmct55Q/juu69ZtWrlYYul6OgYzj13MP/978OMHXsHSUm1eOKJR9mxYxv16tWvyJRUSVFRUQwePJgJEybw0EMPsXPnTmbOnMnEiROB0CxTXFwcLpeLpk2bMn78eE466SRat27NlClTqFevHqeeemqEvwqp6nILfSxYu5nai/7HqbnvYiNInuniUf9QMsz6pBi7aRFVSPOoAhra95Ji2UucPxu7exdWdzY2I0gdcqhDDpjrwEvothvYsv84psUOFjumtfifmCbWvZuKxRS0x+JreAqB+EbYt/2BLXMJ1r2bsK7YhGtF6MMff1IrPK0H4241mGBCk4O+LvvG74n7fnxouRfgaXE2he2Hg9UWmgkLLwszwAxi8e7B8OzB8OzG4tmD4cnF4t2Ny/DgzdsD/gIM34G3vNB4TCy+fPDlh5eKOTb/iGvpyxSmXU9BpxHgOPoHR9bsVUQtmYVz5duh9yNUhHnaXkBh+8sIJLc74utNZzyeVufhaXXeUY/1d4Ha7Smo3b7UrytTjhj8dTod11v4651EzsVfEvPbf4la9BxG0Is/uR2FHa7E3fp8sBdfAYE9Gl/9Hvjql+7az/IUsWIpGAwyYsQIOnTowHvvvceGDRsYM2YMqampnHvuucXGFhQUhDf9e/jhh3nttde4/vrrmTNnDtHR0Yc5Qtk5cB2t26diSUQO1q9ff7Kzs5kx4xmys7Np1qw5kyY9Gi5qbrnldl58cQbTpz9Fo0ZN+Ne/buWBB+5h9eqVnHhiR8aP/w8vvjiDRx+dTGpqXe6++z6aNm0GwLhxdzF9+lO8/fbr9OnTl6FDLyQ3N+ewsYwc+W+efPIx7rprHH6/n86d05gy5X/Flu7J4Y0fP54JEyZwxRVXEBsby6hRo+jfvz8A6enpTJw4kSFDhnDiiScyYcIEHn74YXJzc+nVqxfTp08/5DJNkUPZ4/axIbuQDTkF+/4sZH1WPq1zf+Ae+yzqG9kAfBbsyYd1/knrFi25qV1d6jgMou3Ff4ULX60S8GFxZ2EpyMSSvxNLwQ4s+Tuw5G3DkrcNa/720N89uRhBHwR9GH4OYmLgr9MRb6M++Bqfii+1a3jJGIDhzcO2/Q8cW37BvvXX0ExAzmpsv00h5rcp+Op2xd36/NBSM9Mkdu69uFa9Fwoxtj55pz6It9kZpc6ZYYArJY49h1uCZgYxPLsx3LlY3DlYPLlY8nfiWvoS9szFxMybStSSWeSfdDPuEy4pvlzP78a+fT72zXNxbP4R+44/9z+V1IrCDlfgaTO0XDq8VWu2KPJPuRt322EYvgL8qWlVqrWlYZqRWf27c+dOHnroIR544AFiY2MBGDlyJCkpKUyYMKHY2Lfffptp06bx1VdfYRgGpmly5plncsMNNzBkyJBSHXfXEdZ3Hri51d/HnPLYj3gDJh9d15268a5Dv0E1cKQc1CTKQ+XPgc/nJStrG8nJ9bDby2Ft+gFsNgv+Gn7N4tFycKR/j6LvJTm0o/0fq+z/FytCdclBboGPn9dn8/O6bP7YtJus/NByJCdeulhW09PyF+mWJXS1rAYg216P1Z3vpn7a2bjs1rLNg68QizsnVCwF/RD0hv4MhP70J7XCjCr5dY6GZw+OjM9xrXoP+5a5ofbUgGmxYVpdWHx5mIaFwg5XUdDjNkxH7DGFfcw5MIM413xMzK+TwtfKBOKbUND1nxiF2Tg2/4R92+8YAc/+lxgWvM36U9jhqsMunYuE6vL/4Xgdbx5Kem6K2MxSnTp1eOyxx4DQOtkFCxbw+++/c8899xw0dtGiRXTt2jV8obNhGHTp0oWFCxeWulg6Vi67FW/Aj9tXs39hEhERkRLK38mmTRks2rKbJVtyWbcrH4MgBiYdjEK62lbR27aC9qzBzv7pHdNipyDtRgLdRtH8UJ3IyoI9iqC97N7bdMbjaXchnnYXYsnfgXP1hzhXvYc9czFGMA9fSnvy/jH5uJd1HTPDgqfVIDzNB+Ja/ioxvz+Gdc8G4r4dW2xYIDoVX8NT8DZMx9eoN8HYw7SxlhqjUjR46Nu3L1u3buUf//gHZ5555kHPZ2Zm0rJl8Xa3ycnJrF69utTHOtKHAkfa7K1oKZ4nEKwsHyyUC238F6I8VP4cVNa4ajrDOPjfRv9WUpMY7hzyl7yPuexdGucvpDYmXYqedB7+dYGYuvjq9ww1TGj8jxJ3mquMgjGpFHa+jsLO12HNWYMlf0foGhRLJfi102rH3eEK3G0uIHrxDJyrPySQ0DRUHDVMJ5DUUj+0pJhK8F0Ljz/+OLt27WLChAlMnDiRu+66q9jzh9sk8O97YZRESfqpH2pMjNNGZp4XV4yzRiwn0cZ/IcpD5c2B2+0mO9uC1WpgO9z+HGWoIo5R2R0pB8GggcViISkp5qD9iESqPW8+5urPcC9+m/rZv5DC/u5hO80krDYbDpsNp92G1WLBNCxgseOv0wFf/Z54G/QiGN+kWv6SHkhqGSpAKhtHDAXd/kVBt39FOhKp5CpFsdShQwcAPB4Pt956K2PHji1WHB1uk8BjOSEfaeOqI210ZreEfoBt35XHrgM3N6tmtPFfiPJQ+XPg83kJBoMEAma5X0+ka5aOnoNAwCQYDJKTk4/d7iv2XEk3/hOpcrJWUTj3Kepu/hiHuf9al+XBJixK6Et0xwvoemIHnDYLbsAduUhF5BhFrFjatWsXCxcu5PTTTw8/1rJlS3w+H3l5ecU2T0xNTWXXrl0Hvb5OncP0dj+Ckmxod6gxRcvw3L5gpfzFsazV2I3//kZ5qLw5qIwxSeX9fhEpM6ZJ1l/fYvwxjTZ7fwk/vC6Yyg+OUwm2PZ8eXXtweuwR1tyJSJURsWJp8+bNjBw5ku+//57U1FQAli5dSq1atQ7aZb5Tp04899xzmKYZ7oa3YMECbrjhhgqLd//GtEfeQE1ERESqKG8+jm2/YVqdmPYYTEds+M9cr8G6n9+kWcaLtA1kABA0Db4zuvJXo8s4odsZDKwXH25GJSLVQ8SKpQ4dOtC+fXvuuOMOxo8fz5YtW5gyZUq4ADpw478BAwYwdepUHnzwQS6++GJef/11CgsLGThwYIXFW7S3krrhiYiIVEOmScLn1+HY9MMhn04Biq68KTQdzI3pj6fztXTu0IUOuqZRpNqK2P9uq9XK008/TVRUFBdddBF33nknw4cP5/LLLwdCG/99+umnAMTGxjJ9+nTmz5/PkCFDWLRoEc8++2yFbEhbpGhmya2ZJRERkWrHueItHJt+wLQ48Ce1whtdlwJLDAFz/0xRtpHIzw1HsOWSn+l01TN0T+uGQ4WSSLUW0QYPqampPPnkk4d8buXKlcXud+zYkffee68iwjqkcOvwGn6Rt4gcn23btjJs2CDeeutD6tWrH+lwRAQwCjKJnXsvABtPHM2Du8/kq1WZBE0Ak5MburgqLZlOLZrQylp9mzyJyMEqRTe8qkDL8ERERKqn2J8mYPHsZqO9BX3ndSJAJgDpzWtxVY/GdKwfH+EIRSRSVCyVkFPL8ERERKod/6ovca3+gIBpcFPeVQSxcnrr2lzZoxFt6sRGOjwRiTAVSyVUNLOkZXgiUlb27NnDtGlP8NNP3+P1ekhPP5V//es24uNDn2JPn/4Un376IXv35nHCCe0ZM2YczZu3wO/3M3Xqw/zww7d4vV66dOnGrbeOp3bt0m+nIFJT+QNBPvpzDef+dhsAzwfOIqZxF2b3aU6r2iqSRCREVyWWkOuAfZZEpHIyTZNCX6Dsb97DP2cex6ZCd9xxK2vWrGTy5Ed59NGnWL9+PQ89NAGA77//lg8/fJf77pvEyy+/QXJyMhMnhq6peOedN/jzzwU88shTzJjxMgUFBTz++CNlkUKRGuHHtVlcPGs+9rmTqEcWW41U6p11N08M7aBCSUSK0cxSCWkZnkjlZpom176+iMVb91TocTvVj+e5izuVem+V/Px8Fi5cwKuvvkPjxk0A+M9/7ufSSy9g48b1bN++FZvNTmpqXerWrcvNN49l48YNAGzbtg2n00m9evWIj0/gzjsnsHv37jL/2kSqG7cvwH+/WcsHS7fT2VjDFc4vAXCe/Qg9mzSMcHQiUhlpZqmE1OBBpPKrSltB/vrrXGJj48KFEkCTJk2Ji4tn/fr1nH76mTidTi68cBA33ngNn332Mc2aNQdg0KDzycraxaBBZ/Lvf/+TX36ZS9OmTSP0lYhUDWt35XP57D/5YOl2HPiZHv8CFkzcbYYSbNIn0uGJSCWlmaUScql1uEilZhgGz13cCXc5/B+1WS34A4d+X5fNUupZJQCHw3nIx4PBAMFggOTkFF599R3mzfuVn3/+kddee5mPPnqPF154lebNW/D22x/x888/8fPPPzJ9+pPMmfM5Tz313DHFIlKdmabJR0t3MPmbNXj8QZJjHLza8mdSV64j6KpF3in3RDpEEanEVCyVkDalFan8DMMgat8scFmy2Sz4/WVbhPTo0YvHH5/Kxo3rady4KQDr1mWQn59P48ZN+Pnnn9ixYzvnn38BJ5+czlVXXcd55w1g7do1bNy4HofDQb9+/enb93SWLl3CDTdcRU5ONrVqJZdpnCJVlVGQibHiPeYv/4vk7C28aOTSJGY3qUYu1pX5AOSlT8CMqhXhSEWkMlOxVEJOLcMTkTLkcDjo2fNk7r//HsaMGYtpmjzyyGQ6d+5C8+Yt2bp1K0899Ri1aiXTunUbvvrqC1wuF40aNeavv5YybdoLJCQkUr9+A+bM+Yw6dVJJSEiM9JclUikU7t5O8tvnEuPeRn+Aos9QDvi8s/CE/8PT+vwIRCciVYmKpRLSzJKIlLW77rqPRx+dzL/+dRMWi4XevfswatQYANLTT+Waa27giSceITs7i8aNmzJx4lTi4+MZMuRCdu7cyf33/4e9e/fQpk07Hn54KlZr2c+qiVQFpmmyOjOfX9fn8Pu6HYzZeTuNLdvYFKzND9aenHRCW+rWb0IwJpVgTCqB6FRwxEQ6bBGpAlQslZCuWRKRslCvXn1++umP8P17733osGP/7/8u4//+77KDHrdYLNx002huuml0ucQoUlWsyypg9vzNzM3IZle+FzCZaJtBd9sK8ojmzVZTGdSnN4lRdjyRDlZEqiQVSyWkZXgiIiKVw/rsAmb8soEvV2RStNOZy2ZhfPIP/N/ubzExCJzzDJc36RvROEWk6lOxVEJahiciIhJZG3MKmfHLBj7/ayfBfVXSaS2TuaBzfXqaS0j+dDoA+SffiVeFkoiUARVLJXTgMjzTNNWeV0REpIJs2+1m4jcZvP/nZgL7iqTezWsx4uQmtE2Nw5K7jqS3b8QwA7jbDKWw8/WRDVhEqg0VSyVUtClt0ARfwMRhU7EkIiJS3n5dn80dH69gr8cPQHrzWlzXqwkn1I0DwPDuJeHTq7F4duNLTWPvaZNAH2iKSBlRsVRCRTNLEFqK5zjgvoiIiJQt0zR5bcEW/vd9BkETOjVKZEx6Q9on+LEUbsKyKQtLQSauFW9hy1lNICaVPQNngM0V6dBFpBpRsVRCNqsFq8UgEDRx+4LE62exiIhIufD4g0z8ajWfLNuBhSAz6n5Iv/xv4L0sjHBLh/1Mq5M9A58nGJMagWhFpDpTsVQKLpuFfG9A7cNFRETKya48D7d9uJyl2/biNPx8VP8lWmd9FX7exMCMqkUwKoVgVDLB6Nq421+GP7Vz5IIWkWpLxVIpOPcVS+qIJyIiUvaWbd/LbR8sIzPPSx1XgI9rT6dO5lxMix1j0BNk1epB0JkEFv36IiIVQz9tSiHU5MGnvZZERESOkWv5q9h2Lsbd7uJis0G/rM/m1veX4Q2YnFgryOsxjxGbOR/T5mLPwBkkdD4Xc9deDrEKT0Sk3KhYKgXttSQiInLsHBu+Ie7bsQBELXsFb70eFHYewXxnD8Z+sBxvwOSsJhYe9T+AM3M5QUc8u8+ZRaD+SRGOXERqKrV0KwXnAXstiYhUlE8//YgLLji3RGOff346I0eOKOeIRErPkreNuK9uBsCf3A7TYsOx7TcSPruGFu+fwQXmF5zfMJ/H3XfgzFpOMCqF3MFv4a+nQklEIkczS6VQtNeSluGJiIiUQjBA3Fejsbiz8aW0J3foB1jc2QT+mEHUsldowjYesL8Au14AIBDbgN3nvUYgsXmEAxeRmk4zS6WgZXgiIiKlFz3/cRxbfsG0RbP3zGlgc5FlSeGCjIH0dD/Bk/Zr8MU2BMCf2ILcIe+pUBKRSkEzS6WgZXgilZxpgr+wHN7XAof7f2+LAsMo0dvcc8947HYHd911b/ixCRPuxOVycdZZ5zJt2hOsWrUCwzDo3LkLt9/+H1JSUo4r9KVLF/PUU/9j9eqVJCXV4tJLL2fw4AsA2L59O5Mm3c/SpYtxOl3063cGo0aNwWazsXr1KqZOfZjVq1cSFxfP+ecP5Yorrj2uWKRmsm/5hejfHwVg72kTCSQ2J9/r51/vLmVjTiF14xI57f/uIDfmbmzbFxBIOQHTERvhqEVEQlQslYKW4YlUYqZJ4rvnY9/+R4Ue1lfvJHLPf7dEBVO/fmcyceJ9+P1+bDYbXq+Xn3/+ibvvvpexY2/moosu5e6772PXrkweeug+XnnlBW6++bZjjm39+nWMHn0jF110CePH382yZUuZOvVhkpKS6dPnHzz22GSioqJ54YVXycnJ5q67xtKkSTOGDBnGAw/cQ8eOnfnPf+5n48YN3HXXWFq3bkuvXunHHI/UPEZhNnFzRmKYQdxtL8TTZigef5BbP1jOXzvySIyy88QFHUiNcwLgr989whGLiBSnZXiloGV4IpVcCWd4IqVnz5MxzSALFoQKunnzfsXpdNK27QlcccW1XHnltdSv34COHTtz2ml9Wbcu47iO99FH79G6dRuuv/6fNG7clIEDz2Ho0It49dWXANi2bRuxsbHUrVuPDh06MWXK/+jV6xQAtm/fSkJCAnXr1qNnz5N54olptG7d9vgSUEV4PB7uuOMOunXrRnp6OjNnzjzs2Dlz5jBw4EDS0tL4v//7P5YtW1aBkVZypknc1//Gmr8Df2IL9va+H9M0uffzlfyxMZdou5X/DTmRprWiIx2piMhhaWapFDSzJFKJGUZohqccluHZbBb8ZbAMz+Fw0Lv3aXz//Td0796T77//htNO60ft2nUYOPAc3nhjNqtXr2L9+nWsWbOKDh06HVfc69ev54QT2hd7rEOHjnzwwTsAXHrp5Tz00L388MO39OhxMv369Q8XRMOHX8X06U/xwQfvcvLJ6Zx11jkkJx/fksCqYvLkySxdupRZs2axdetWxo0bR/369RkwYECxcatXr+aWW27hvvvuo0uXLrz44otcf/31zJkzh6ioqAhFX3lELXoO54avMa1O9pw5DRwxvL1wK3NWZmKzGEw57wROqBsX6TBFRI5IM0uloGuWRCo5wwB7dMXeSjmb1a9ff3788Xu8Xi8//fQD/fqdQWbmTq644iIWLPiDNm3aMXr0GC6++LLjTofD4TjosUAgSCAQ+hnWv/9A3nnnY264YSSFhQXcffc4nn32aQAuu+xK3njjfS699HK2bt3CyJHX89FH7x93TJVdQUEBb731FnfeeSft27fnjDPO4Nprr2X27NkHjZ07dy4tW7Zk8ODBNG7cmDFjxpCZmcmaNWsiEHnlYs1cRswvEwHIS7+HQMoJrNqZx2PfrQVg1KnN6N4kKZIhioiUiIqlUtAyPBE5Xt26dScYDPDGG7NxuVx06pTGDz98S1xcApMnP8aFF/4fnTqlsXXrluM+VuPGTVi2bGmxx5YtW0zjxk0AmD79KbKzsxk8+AImT36Ma6+9ke+//waPx8Njj/0Xu93OxRdfxhNPTGfw4CF89903xx1TZbdixQr8fj9paWnhx7p27cqiRYsIBot/UJaYmMiaNWuYP38+wWCQd999l9jYWBo3blzRYVc60X9Owwj68DQ7E3f74RT6Atzx8V94AybpzWvxf10aRDpEEZES0TK8UtAyPBE5XjabjT59+vLSSy9w7rnnYRgG8fEJ7NixnT/+mEe9evX59tuv+P77b2jb9oTjOtb55w/jrbdeZ/r0pxg48ByWLVvCu+++xb//PRaAjRvX8+ijkxkzZhwWi4Vff51Lq1ZtcDqdLF68kJ07d3DDDf+koKCAP/9cQO/ep5VBBiq3zMxMkpKSis3KpaSk4PF4yM3NpVatWuHHzzrrLL755hsuueQSrFYrFouF6dOnk5CQEInQKw2jMBvn2k8BKOg2GgyDyV+vYUNOIbVjHdxzZhuMSn59oYhIERVLpeDSMjwRKQP9+vXngw/epV+/MwHo2/cMFi36k7vuGodhGLRrdwIjR97M889Px+v1HvNx6taty+TJj/L00//j9ddfITW1LiNH/puzzx4EwK23jmfq1IcZOXIEgUCAk08+Jdx97777JvLII5O49torsFqtnH76GVx55TXH/8VXcoWFhQctXyy6//d/i5ycHDIzM/nPf/5Dp06deO211xg/fjzvvfceycnJJT7m0eqGouerSn0RteJNjKAXX+2OBFI78dnyHXy8bAcWAx44uy1JMfZSv2dVy0F5UR6UA1AOihxvHkr6OsM0TfPYDlE17dq1l8N9xYYBKSlxhx3z0dLt3PfFKk5ulsT/hnQo30Aj5Gg5qCmUh8qfA5/PS1bWNpKT62G3H3xtTlk6YoOHGuJoOTjSv0fR91JV8Nlnn/HAAw8wd+7c8GNr167lrLPO4rfffiMxMTH8+G233UZ0dDT33hvaNysYDDJw4ECGDh3KiBEjKjr0ysE04YmukL0Wzv0f65oM45zHfyTfG+Bf/Vrx7zNaRzpCEZFS0cxSKWgZnohI9ZaamkpOTk54LywILc1zuVzEx8cXG7ts2TKGDx8evm+xWGjbti1bt24t1TGzso78gYRhQHJy3FHHVQb2zXNJyF5L0B7Ljjr9ufHlP8j3BujSMIFLOtVl1669x/S+VSkH5Ul5UA5AOShyvHkoev3RqFgqhf0NHlQsiUjF++67r3nwwQmHfb5jxzSmTn284gKqhtq1a4fNZmPhwoV069YNgPnz59OhQwcsluI9kerUqcPatWuLPbZu3To6dCjdygPTpEQn+pKOiyTn0lcA8LQZwv9+2cmKHXkkuGzcd1ZbLIZx3PFXhRxUBOVBOQDloEh550HFUinsbx2ubngiUvG6d+/FCy+8etjnnU5nBUZTPUVFRTF48GAmTJjAQw89xM6dO5k5cyYTJ4baYGdmZhIXF4fL5eLCCy/k9ttv58QTTyQtLY233nqLrVu3cv7550f4q4gMoyATZ8ZnAMxLGsTrc0IdHe8Z0IbUOH1vikjVpGKpFLQMT0QiKTo6mujo6EiHUe2NHz+eCRMmcMUVVxAbG8uoUaPo378/AOnp6UycOJEhQ4Zw1llnkZ+fz/Tp09m+fTvt2rVj1qxZpWruUJ24/noDI+jHl5rGQ4scgJdhnevTu0XNzIeIVA8qlkpBy/BEKp8a1qOm0qpO/w5RUVFMmjSJSZMmHfTcypUri90fNmwYw4YNq6jQKi8zSNTy0KzngpTBrJyfR7TdyoheTSIcmIjI8YnoprQ7duxg9OjRdO/end69ezNx4kQ8Hs8hx9544420adOm2O3bb7+t0Hj3zyxpGZ5IpFmtof+PXu+hf2ZIxSr6d7Ba9RlcTWTf9APWPRsJOuKZsK4tABd3bUBidOnbhIuIVCYRO6uZpsno0aOJj49n9uzZ7N69mzvuuAOLxcK4ceMOGr927VqmTJlCr169wo9V9MZ/Tu2zJFJpWCxWoqJiycvLAcDhcJbbRpfBoEEgUH1mTo7F4XJgmiZer4e8vByiomIPaoIgNUPUslBjh1V1zuKvNQHinDYu69owwlGJiBy/iBVLGRkZLFy4kLlz55KSkgLA6NGjmTRp0kHFktfrZfPmzXTo0IHatWtHIlxg/zI8f9DEHwhis+qXApFIio+vBRAumMqLxWIhGKzZH5IcLQdRUbHhfw+pWSz523GsmwPAQ5mhDzQv7daAOJdmGUWk6ovYT7LatWszY8aMcKFUJC8v76CxGRkZGIZBo0aNKiq8Qypahgeh65ZiVSyJRJRhGCQkJBMXl0Qg4C+nY0BSUgw5Ofk1tkXr0XJgtdo0o1SDuf56A8MMsD2+Mz/srE2Cy8bFXRpEOiwRkTIRsWIpPj6e3r17h+8Hg0FeeeUVevbsedDYjIwMYmNjGTt2LPPmzaNu3bqMGjWKPn36lPq4R1qlU/Tc4cY4bQYGYALeQPCI71VVHS0HNYXyULVyYLVasFod5fLehgEulwuHw1eji6XjyUFV+B6SYxQM4Fo2G4Dp+acCcEX3RsQ4NKskItVDpflpNmXKFJYvX87bb7990HMZGRm43W7S09MZMWIEc+bM4cYbb+SNN94o9eZ/Jdmp90hjXHYrhb4A0XFRpNSqvi18S5KnmkB5UA6KKA/KgRzMsfE7rHlbcdvieTWvC8kxDoZ1rh/psEREykylKJamTJnCrFmzePTRR2nduvVBz990000MHz483NChbdu2LFu2jDfffLPUxVJW1t7DfjJqGKFfBo40xmmzUOgLsHXnHqKC1a8rXklyUBMoD8pBEeXh+HNQ9HqpflxLXwLgnUAfPDgY1b1RsSXrIiJVXcSLpfvvv5/XXnuNKVOmcOaZZx5yjMViOajzXfPmzVmzZk2pj2eaHPVkf6QxRU0eCn3Bav2LU0nyVBMoD8pBEeVBOZDiXItfwLnha0wMnnf3oU6sg8Ed60U6LBGRMhXRK3KffPJJXn/9dR555BHOPvvsw467/fbbGT9+fLHHVqxYQfPmzcs7xIPsbx9e/WaVRERESsKR8RmxP/4HgKeNi8gw63NNrybhc6SISHURsZ9qa9eu5emnn+a6666ja9euZGZmhm8AmZmZuN1uAPr27ctHH33E+++/z4YNG3jyySeZP38+l112WYXHvX9j2prdRlhERGom27Y/iP9yJAYmi2ufx5TCc6mf4GJQ+9RIhyYiUuYitgzv66+/JhAIMG3aNKZNm1bsuZUrV5Kens7EiRMZMmQI/fv355577mHatGls3bqVVq1aMWPGDBo2rPgN74qW4bm1Ma2IiNQw1py1JHxyJUbAg7vJ6Vy94f+AINf1aqy9B0WkWopYsTRixAhGjBhx2OdXrlxZ7P6wYcMYNmxYeYd1VC67luGJiEjNY+TvJOGjy7B4cvHV6cy8Tg+za+UqYp1WBrTTrJKIVE/6GKiUnDYtwxMRkRrGm0/CJ1di3buJQHwTdp/9Ir9u9QLQrVEiNos20xKR6knFUilpGZ6IiNQoAR8JX1yPPXMxQVctcs99BTM6hd825ADQvUlShAMUESk/KpZKqWgZntunZXgiIlL9uZa9gmPjd5g2F7vPfpFgYjMKfQEWb90DQA8VSyJSjalYKqWiZXgezSyJiEgN4NjyMwAFXf+Fv24XAP7cvBtfwKRunJNGia5IhiciUq5ULJVSeBmerlkSEZEawLZzMQC+et3Cj83bkAtA9yaJGIauVxKR6kvFUimFl+GpG56IiFRzRsEurHlbMDHw1z4x/Pi8jaHrlbQET0SqOxVLpeQq6oanZXgiIlLN2TNDs0qBpBaYjjgAsvK9rM7MB6Bb48RIhSYiUiFULJWSc98yPI+W4YmISDVXtATPX7tj+LE/NuYC0Kp2DLWiHZEIS0SkwqhYKiUtwxMRkZoiXCzV2V8saQmeiNQkKpZKScvwRESkprBlLgLAV6cTAKZp8tsBzR1ERKo7FUulVDSzpGV4IiJSnVnyt2PN34FpWPCntAdgY04hO/Z6sFsN0hokRDhCEZHyp2KplIquWdIyPBERqc5sO5cAEEhqBfZoAObtu16pU/14XHZrpEITEakwKpZKyaVNaUVEpAaw7QwtwfPvW4IHMG9D6Hql7rpeSURqCBVLpRRu8ODTzJKIiFRftn1tw337mjv4gyZ/bMoFoLtahotIDaFiqZScmlkSEZHqzjSx/61t+F/b95LnCRDntNE2NS6S0YmIVBgVS6W0v3W4iiUREameLHnbsBTuwrTY8Ke0A/a3DO/WOBGrxYhkeCIiFUbFUim5ijal9QcJmmaEoxERESl7RS3D/bXagC0KgHn7Wob3UMtwEalBVCyV0oHdf7QUT0REqqO/b0Zb4A2weOseALo3VnMHEak5VCyVUlHrcNBeSyIiUj3tv14p1Anvzy278QdN6sU7aZjoimRoIiIVSsVSKVkMA4c1tFZbey2JiEi1Y5oHtA0PzSwd2DLcMHS9kojUHCqWjkHRUjy3ZpZERKSasezdhMWTi2lx4E9uA+y/Xkktw0WkplGxdAwObPIgIiJSnYSvV0ppB1Ynu/K9rNmVD8BJKpZEpIZRsXQMiq5b0jI8ERGpbuxFS/D27a/0x8ZcANrUiSUp2hGpsEREIkLF0jHQMjwREamu/t4Jb+m2UBe8Lg0TIhaTiEikqFg6Bi7NLImIVFsej4c77riDbt26kZ6ezsyZMw85bvjw4bRp0+ag2/jx4ys44jJkBrFlLgHAVyfUCW9tVgEALWvHRCwsEZFIsUU6gKrIqWuWRESqrcmTJ7N06VJmzZrF1q1bGTduHPXr12fAgAHFxj3xxBP4fL7w/UWLFnHzzTdzySWXVHTIZca6ez0W7x5Mq5NAUisAMvZdr9QiOTqSoYmIRISKpWOgZXgiItVTQUEBb731Fs899xzt27enffv2rF69mtmzZx9ULCUmJob/HggEePTRR7n22mvp0KFDBUdddvY3d2gPVju5hT6yC0IFYbNkzSyJSM2jZXjHQMvwRESqpxUrVuD3+0lLSws/1rVrVxYtWkQwePgPyN599112797NddddVxFhlpu/X6+UkRWaVaoX7yTaYY1YXCIikaKZpWPg3DezpGV4IiLVS2ZmJklJSTgc+7u+paSk4PF4yM3NpVatWge9xjRNZsyYweWXX05MTOlnX462x2vR8xWxF6w9s2gz2k4YBqzbd71S8+SYCjn+4VRkDioz5UE5AOWgyPHmoaSvU7F0DMIzS1qGJyJSrRQWFhYrlIDwfa/Xe8jX/Pbbb2zfvp0LL7zwmI6ZnBxXpuOOWTAAu5YBENemF3EpcWzLDy3BO7FRIikp5Xz8Eij3HFQRyoNyAMpBkfLOg4qlY6B9lkREqien03lQUVR03+VyHfI1X3zxBaeeemqxa5hKIytrL6Z5+OcNI/TLwNHGHS9r9mqSvHmYtiiyqAe79rJscy4AdaNt7Nq1t/wOfhQVlYPKTnlQDkA5KHK8eSh6/dGoWDoGavAgIlI9paamkpOTg9/vx2YLnSIzMzNxuVzEx8cf8jU//vgjI0eOPOZjmiYlOtGXdNyxsoY3o+2AaVjBhIx9y/CaJcdUil/KyjsHVYXyoByAclCkvPOgBg/HwKXW4SIi1VK7du2w2WwsXLgw/Nj8+fPp0KEDFsvBp8zs7Gw2bdpE165dKzDK8lHU3MG3r7lDbsEBnfBqqW24iNRMKpaOgZbhiYhUT1FRUQwePJgJEyawePFivvrqK2bOnMnll18OhGaZ3G53ePzq1atxOp00bNgwUiGXGXtRJ7zaoWJp7b5OePXVCU9EajAVS8dAy/BERKqv8ePH0759e6644gruvfdeRo0aRf/+/QFIT0/n008/DY/NysoiPj4eo6q3pQr6se1aCoQ64cEBnfBStL+SiNRcumbpGGifJRGR6isqKopJkyYxadKkg55buXJlsftnnXUWZ511VkWFVm4sezdj+N2YVieBxGbA/uuVmidrCZ6I1FyaWToGumZJRESqE1tuBgCBhKZghM5xRRvSNk/WzJKI1FwRLZZ27NjB6NGj6d69O71792bixIl4PJ5Djl2+fDnDhg2jU6dODB06lKVLl1ZwtPs5tQxPRESqEWvuOoDwrBJAxq6iTniaWRKRmitixZJpmowePZrCwkJmz57No48+yrfffstjjz120NiCggJGjBhBt27dePfdd0lLS+P666+noKCg4gNHy/BERKR6se7eN7OU2ByAnAIvOYX7OuGpWBKRGixixVJGRgYLFy5k4sSJtGrVim7dujF69Gg+/vjjg8Z++umnOJ1Oxo4dS4sWLbjzzjuJiYnh888/j0Dk+xs8aBmeiIhUB9bc9QAEEkLFUtH1SvUTXETZ1QlPRGquiBVLtWvXZsaMGaSkpBR7PC8v76CxixYtomvXruFuQ4Zh0KVLl2L7YFSkcOtwLcMTEZFqwFp0zdK+ZXhrd6m5g4gIRLAbXnx8PL179w7fDwaDvPLKK/Ts2fOgsZmZmbRs2bLYY8nJyaxevbrUxz1Sd9ei547WATbKvn8ZXlXvFvt3Jc1Bdac8KAdFlIfjz0FNzl2V4Hdj2bs59Nd9y/DWqbmDiAhQiVqHT5kyheXLl/P2228f9FxhYSEOh6PYYw6HA6/XW+rjJCfHHfeYoNMOgNsfJDk5turvr3EIJclTTaA8KAdFlAfloLqy7tmIgUnQHosZFVrtUbQMr0WKZpZEpGarFMXSlClTmDVrFo8++iitW7c+6Hmn03lQYeT1enG5XKU+VlbWXkzz0M8ZRuiXgSONASjw+AEwTdi2Yw8OW/XpwF7SHFR3yoNyUER5OP4cFL1eKqf9S/Cah6cBtceSiEhIxIul+++/n9dee40pU6Zw5plnHnJMamoqu3btKvbYrl27qFOnTqmPZ5oc9WR/tDFO6/7iqNAXwG6tPsVSkZLkqSZQHpSDIsqDclBd/b1teHaBl9xCHwbQtJaKJRGp2SL6W/6TTz7J66+/ziOPPMLZZ5992HGdOnXizz//xNx3ljZNkwULFtCpU6eKCrUYm9WC1RL69E1NHkREpCoLtw1PCBVLRfsr1U9whbu/iojUVBErltauXcvTTz/NddddR9euXcnMzAzfINTUwe12AzBgwAD27NnDgw8+yJo1a3jwwQcpLCxk4MCBkQr/gL2WVCyJiEjVtX9mqahteFFzB80qiYhErFj6+uuvCQQCTJs2jfT09GI3gPT0dD799FMAYmNjmT59OvPnz2fIkCEsWrSIZ599lujoyP0gL2of7tHGtCIiUoX9fRle+HqlFHXCExGJ2DVLI0aMYMSIEYd9fuXKlcXud+zYkffee6+8wyqx0NIEn5bhiYhIlWV487AW7AAOWIan5g4iImHVrzNBBdm/DE8zSyIiUjVZd68HIOiqhelKxDRNMnaFluG10B5LIiIqlo5V0UWvHl2zJCIiVVSxtuFAdoGP3W4/BtCkVlQEIxMRqRxULB2jomuWtAxPRESqKuvuQzd3aJCoTngiIqBi6ZhpGZ6IiFR14Zmlv7UNb64leCIigIqlY1b0iZtmlkREpKoq6oTn/3snPDV3EBEBVCwds/2tw1UsiYhI1fT3a5bWFe2xlKJiSUQEVCwdMy3DExGRqsxw52Dx5AIQSGga6oSXpWV4IiIHOqZiadOmTUyaNImbbrqJnTt38vbbb/PHH3+UdWyVmpbhiYhULjo3lU54Vim2HtijydrXCc9iQJMkdcITEYFjKJZ+//13Bg0axJYtW/jxxx/xeDxkZGRw5ZVX8uWXX5ZHjJWSS8vwREQqDZ2bSq/oeqX9zR32dcJLUCc8EZEipS6WpkyZwi233MLjjz+OzWYDYOzYsdx66608/vjjZR5gZeXUMjwRkUpD56bSO7htuJbgiYj8XamLpVWrVtGnT5+DHu/Xrx8bN24sk6CqAi3DExGpPHRuKr2D2oaruYOIyEFKXSw1aNCAJUuWHPT4d999R4MGDcokqKpgf4MHFUsiIpGmc1PphZfhhTvhaWZJROTvbKV9wc0338ztt9/OkiVLCAQCvP/++2zevJlPPvmEyZMnl0eMlZLLXnTNkpbhiYhEms5NpWSa2MJtw5v9rROeZpZERIqUembpjDPOYPbs2WRlZdGqVSu+/vprvF4vs2fP5qyzziqPGCslp03L8EREKgudm0rHUrADw1+AaVgIxDdmx14Pe9x+rBaDJrVULImIFCn1zBJA27Zta/wndVqGJyJSuejcVHJFS/CCcY3A6mDZ9kwAWqXEhBsYiYjIMRRL48ePP+LzEydOPOZgqpKiZXhun5bhiYhEms5NpWM9YAkewLJtewFoXy8uYjGJiFRGx/3xkd/vZ926dXz66afUqlWrLGKqEoqW4WmfJRGRyqemnptKqqhtuH9fc4dl20PF0gl1VSyJiByo1DNLh/t0bsaMGaxateq4A6oqtAxPRKTy0LmpdA7ckDYQNPlrx76ZJRVLIiLFlNnC5AEDBjBnzpyyertKb/8+S1qGJyJSWdW0c1NJHdg2fF12AYW+INF2K03V3EFEpJgyKZYKCgp48803SUpKKou3qxKKZpa0DE9EpHKqieemEgkGsO5eD4SKpeX7rldqVzcWq8WIYGAiIpVPqZfhtW3bFsM4+Iep0+nkgQceKJOgqoKibkH+oIk/EMRmVfcgEZFI0bmp5Cx5WzCCXkyLg2BsfZZtDzV70BI8EZGDlbpYmjVrVrETkmEY2O12WrZsSWxsbJkGV5kVLcOD0HVLsSqWREQiRuemktt/vVJTsFjDzR1ULImIHKzUxVKPHj3KI44qx2E1MACTfcWSM9IRiYjUXGV5bvJ4PNx77718+eWXuFwurr76aq6++upDjl25ciUTJkxg2bJlNGnShDvvvJOePXuWWSzl4cC24W5fgDWZeYA64YmIHEqJiqW+ffsecnnDoXz99dfHFVBVYRgGLruFQl8Qj19NHkREKlp5nZsmT57M0qVLmTVrFlu3bmXcuHHUr1+fAQMGFBu3d+9err76avr27cvDDz/MBx98wMiRI/niiy9ITk4u1ddSkYrahgcSm7FyZx4BE5JjHKTG6VM/EZG/K1GxNGrUqPKOo0py2qwU+oK4fWryICJS0crj3FRQUMBbb73Fc889R/v27Wnfvj2rV69m9uzZBxVL7733HtHR0UyYMAGr1cro0aP5/vvvWbp0KX369Cnz2MqKrWhmKaFZsSV4JS08RURqkhIVS+eff36J3szn8x1XMFWN9loSEYmc8jg3rVixAr/fT1paWvixrl278swzzxAMBrFY9l+fOm/ePPr164fVuv8a1nfeeafEx4qUA9uGL/tT1yuJiBxJqa9Z2rVrF9OnT2fNmjUEAqHlZ6Zp4vP5WLt2Lb///nuZB1lZuexF7cO1DE9EJJLK6tyUmZlJUlISDocj/FhKSgoej4fc3Fxq1aoVfnzTpk107NiRu+++m2+++YYGDRowbtw4unbtWqrYjzahU/R8mUz8BLxY9m4K/TWpOcu2bwCgfb24snn/clKmOajClAflAJSDIsebh5K+rtTF0h133MHGjRvp378/M2fO5KqrrmLjxo3MmTOH22+/vbRvV6U5bUUb02pmSUQkksrq3FRYWFisUALC971eb7HHCwoKePbZZ7n88st57rnn+OSTT7jmmmv47LPPqFevXomPmZxcslmdko47osxVYAbBEYuR3Igtu1cC0Lt9PRKi7Mf//uWsTHJQDSgPygEoB0XKOw+lLpZ+//13Zs6cSVpaGnPnzuW0006ja9euPPvss/zwww9cfvnl5RFnpaRleCIilUNZnZucTudBRVHRfZfLVexxq9VKu3btGD16NAAnnHACc+fO5YMPPuCGG24ocexZWXsxzcM/bxihXwaONq4kHOuXEg/4E5ry4/LtADSpFYUv382ufPfxvXk5KsscVGXKg3IAykGR481D0euPptTFkmmapKamAtCyZUuWL19O165dGThwIM8//3zpI63CipbhuX1ahiciEklldW5KTU0lJycHv9+PzRY6RWZmZuJyuYiPjy82tnbt2jRv3rzYY02bNmXbtm2ljJ0SnehLOu5ILDmh5g7+hGYs27b/eqWq8gtXWeSgOlAelANQDoqUdx5KvZPqCSecwAcffABAu3btmDt3LgCbN28u28iqANe+ZXgezSyJiERUWZ2b2rVrh81mY+HCheHH5s+fT4cOHYo1dwDo3LkzK1euLPZYRkYGDRo0OIavoGJYc1YB+5o7aDNaEZGjKvXM0q233sr1119PVFQU5513HjNmzODcc89l69atDBo0qDxirLScWoYnIlIplNW5KSoqisGDBzNhwgQeeughdu7cycyZM5k4cSIQmmWKi4vD5XJx8cUX88orr/DEE08waNAg3n//fTZt2sR5551XXl/mcbPvWAiAr3YHls1XsSQicjSlLpbee+89Jk2axIknnkhSUhLvvPMOX331FYmJiQwcOLA8Yqy0tAxPRKRyKMtz0/jx45kwYQJXXHEFsbGxjBo1iv79+wOQnp7OxIkTGTJkCA0aNGDGjBk8+OCDPPvss7Ro0YJnn302vBywsjG8eVizQzNLm6PakVu4AZvFoFXt2AhHJiJSeZW6WCooKOC2224jKiqKM888k7POOotLL720PGKr9IqW4WlmSUQkssry3BQVFcWkSZOYNGnSQc/9fdld165deffdd4/pOBXNtnMRBiaB2Pos2h0FQOs6sThspV6RLyJSY5S6WJo6dSper5effvqJOXPmcNNNNxEVFcXAgQMZOHAgHTt2LI84K6XwPktqHS4iElE6Nx2dbedCAPypabpeSUSkhEpdLEFoz4m+ffvSt29fvF4vL774Is888wwvvvgif/31V1nHWGntv2ZJy/BERCJN56Yjs+/4EwBfahrLV6pYEhEpiWMqlgKBAL/99htffvklX331FcFgkHPPPZezzz67rOOrHMwgjnVz8NXtghldO/ywluGJiFQeNe7cVEq2fcWSu3Zn/vohD1CxJCJyNKUulm6//Xa+/fZbTNOkX79+TJw4kZNPPhmr1XrMQXi9XoYMGcLdd99Njx49Djnmxhtv5Jtvvin22DPPPMM//vGPYz5uSTk2fkfCZ9fgaXYme87av1+HluGJiFQO5XFuqk4seVux5u/ANKyssrTA4/+LGIeVxrWiIh2aiEilVupiyev18uCDD3LqqaficDiOOwCPx8Mtt9zC6tWrjzhu7dq1TJkyhV69eoUfS0hIOO7jl0Qgpi4Ajk3fQ8ADViegZXgiIpVFWZ+bqpuiWSV/cluW7PIDcELdOCyGEcmwREQqvVIXS4888kiZHXzNmjXccsstmEfZdtfr9bJ582Y6dOhA7dq1jzi2PASS2xGMqo2lMBP7tj/wNTwF0DI8EZHKoizPTdVR0fVK/jqdWb5N1yuJiJRURPuFzps3jx49evDGG28ccVxGRgaGYdCoUaMKiuxvDANvo94AODb9GH54/zI8zSyJiEjlZdu3Ga064YmIlM4xNXgoK5dcckmJxmVkZBAbG8vYsWOZN28edevWZdSoUfTp06fUxzzSioOi5w41xtf4VFyr3sW+6QeMk28HwGUPzSx5/MEjvm9VcqQc1CTKg3JQRHk4/hzU5NxVCsEA9p2LAdhbqxMZWZkAnFhPxZKIyNFEtFgqqYyMDNxuN+np6YwYMYI5c+Zw44038sYbb9ChQ4dSvVdy8tFPDocc02kgfHUz9swlpER5ISaZ1DwfAD4TUlKq10mnJHmqCZQH5aCI8qAcVFXW7JUY/gKC9liW+OoQNDOpE+sgJdYZ6dBERCq9KlEs3XTTTQwfPjzc0KFt27YsW7aMN998s9TFUlbWXg53iZRhhH4ZOPSYGBJrtcGWvZI9iz/H22oQnnw3APluH7t27S3lV1U5HTkHNYfyoBwUUR6OPwdFr5fI2H+9UieWbS8AoH29+EiGJCJSZVSJYslisRzU+a558+asWbOm1O9lmhz1ZH+4Md5GfbBlr8S+8Qc8LQfhtO5v8FDdfokqSZ5qAuVBOSiiPCgHVVW4E15qGit3hvZXapcaG8mQRESqjIg2eCip22+/nfHjxxd7bMWKFTRv3rxC4yjW5ME09zd4UDc8ERGppIpmlnypnVm7KzSz1DIlJpIhiYhUGZW2WMrMzMTtDi1z69u3Lx999BHvv/8+GzZs4Mknn2T+/PlcdtllFRqTr35PTIsDa94WrLkZ4X2WPP4gQX3cKiIilYzhzcOavQoAd0on1mfvK5Zqq1gSESmJSlsspaen8+mnnwLQv39/7rnnHqZNm8Y555zDN998w4wZM2jYsGHFBmWPwlfvpNBfN/0Q7oYHml0SEZHKx5a5GAOTQGx91nnj8QdNYhxW6sapuYOISElUmmuWVq5cecT7w4YNY9iwYRUZ0iF5G/XGsWUujk0/4uxwZfhxjy9I1AHFk4iISKQdeL3S2l35ADRPjsFQP3cRkRKptDNLlZWvcWhvJ/uWn7EE/TisoROO26+NaUVEpHLZf73S/mKpRUp0JEMSEalSVCyVkj+lPUFXLSy+PGw7/gwvxXP7tAxPREQqlwNnltaouYOISKmpWCotw4K3YToAjk0/4NrX5EEzSyIiUplY8rZizd+BaVjx1e7Amn0zS2ruICJSciqWjoGv0anAvmJp38zS7kJ/JEMSEREppmhWKVCrDQWmk627Qx1mWySrWBIRKSkVS8fAu69Ysu1cSPc6oWuWvlm9K5IhiYiIFGPfsRAIXa+UkRWaVUqOcZAYbY9gVCIiVYuKpWMQjKuPP7EFhhnkktrrAfhy5U7cPi3FExGRyuFQnfBaJKu5g4hIaahYOkZFs0ttC/+gXryTPE+AH9ZmRTgqERERIBjAvnMxEJpZCjd30PVKIiKlomLpGBVdt+Tc9CNnn5AKwEfLdkQyJBEREQCs2Ssx/AUE7bEEkloeMLOkYklEpDRULB0jX4NemBYb1j0bOL+xB4B5G3LYudcT4chERKSmK9pfyV+nE1is+4slzSyJiJSKiqVjZDpi8aV2BaDx7t9Ja5hA0IRPl2t2SUREImv/9UqdyS7wkl3gwwCa65olEZFSUbF0HHyNegPg2PwD5+xbivfxsh2YphnJsEREpIaz71wIhK5XKppVapDoImrfdhciIlIyKpaOQ1GTB/vmufRrlYTLZmFDTiFLt+2NcGQiIlJjefOxZq8Cijrh7WvukKIleCIipaVi6Tj463Qi6EzA4tlNYvaf9G2dAsAnWoonIiIRYstdg2EGCUalEIxJZc2+maXmKpZEREpNxdLxsFjxNB8AgGvpy5zTPrQU74sVO/H4g5GMTEREaihr7joA/IktAMLL8DSzJCJSeiqWjpO7w5UAONd+yknJPurGhfZc+n7NrsgGJiIiNZJ1d6hYCiQ2JWiaZOxbhtciRc0dRERKS8XScfLX7oAvtQtG0Ef0X69xdvv9jR5EREQqmjU3A4BAQjO27XFT4Atgtxo0ToyKcGQiIlWPiqUyUNjhCmDfUrx2yQD8pj2XREQkAoqW4QUSm4ebOzStFY3NqlO+iEhp6SdnGfC0PIdgVDLW/O00z/mBtAbxBE347K+dkQ5NRERqEtM8YBles/2b0ep6JRGRY6JiqSxYnbjb/R8AUUtmcU77ugB8vGy79lwSEZEKY7hzsHh2AxCIb6rmDiIix0nFUhkpPHE4pmHBseVnBtTJwWWzsD67kGXbteeSiIhUjPCsUmx9sEeF24aruYOIyLFRsVRGgnEN8DY9A4BaK18J77n04dLtkQxLRERqkPD1SgnN8AWCrM8uBDSzJCJyrFQslaHCojbiK97m/DaxAHyybAfb97gjGJWIiJSGx+PhjjvuoFu3bqSnpzNz5szDjr3xxhtp06ZNsdu3335bgdEWF+6El9iMDTmFBIImMQ4rqXHOiMUkIlKV2SIdQHXia5iOP7EFtty19MybQ5eGXViweTczft3IXf1bRzo8EREpgcmTJ7N06VJmzZrF1q1bGTduHPXr12fAgAEHjV27di1TpkyhV69e4ccSEhIqMtxi9jd3aE7GAc0dDMOIWEwiIlWZZpbKkmHgPvFyAKKWvsRNpzQB4OOl29mQXRDJyEREpAQKCgp46623uPPOO2nfvj1nnHEG1157LbNnzz5orNfrZfPmzXTo0IHatWuHbw6HIwKRhxy4DE/XK4mIHD8VS2XM3XYYpi0aW85qurGM9Oa1CJjwzNwNkQ5NRESOYsWKFfj9ftLS0sKPde3alUWLFhEMBouNzcjIwDAMGjVqVNFhHpppYjtgGd6aTHXCExE5XiqWypjpjMfdZigAUUtncVN6Uwzgq1WZrNihzngiIpVZZmYmSUlJxWaHUlJS8Hg85ObmFhubkZFBbGwsY8eOJT09nQsuuIDvv/++1Mc0jKPfSjLOUrgTw1+AaVgIJjQmIyu0oqFl7ZgSHaOy30qaq+p+Ux6UA+Wg7PJQErpmqRwUdriCqGUv48j4gjbpe+jftjZfrMhk2tz1/G9Ih0iHJyIih1FYWHjQMrqi+16vt9jjGRkZuN1u0tPTGTFiBHPmzOHGG2/kjTfeoEOHkv+sT06OK5txeYsBMBIb40pMYMvuUHOh7q1TSYqJ3NLAslTSXFV3yoNyAMpBkfLOg4qlchBIbou3fg8cW3/DtWw21588kq9W7eLndTn8uXk3aQ0jd/GviIgcntPpPKgoKrrvcrmKPX7TTTcxfPjwcEOHtm3bsmzZMt58881SFUtZWXs50v7lhhH6ZeBo45wblhIHeOOa8MeqHQCkxDgIFHrYVegpcTyVUUlzUN0pD8oBKAdFjjcPRa8/Gi3DKyfuE68EIGrZbBrFWzjvxLoAPPXjOsya/J0tIlKJpaamkpOTg9/vDz+WmZmJy+UiPj6+2FiLxXJQ57vmzZuzY8eOUh3TNI9+K8m4ouYO/oTmrN65v7lDSd6/KtxKmqvqflMelAPloOzyUBIqlsqJp/kAAjF1sRTuwrn6Q67p2RinzcKirXuYuy470uGJiMghtGvXDpvNxsKFC8OPzZ8/nw4dOmCxFD9l3n777YwfP77YYytWrKB58+YVEepB9rcNb8bafdcrtVBzBxGR46JiqbxY7eFNaqMWPU+dWAcXdq4PwNM/rSdY0nJWREQqTFRUFIMHD2bChAksXryYr776ipkzZ3L55aFtITIzM3G7Q9cC9e3bl48++oj333+fDRs28OSTTzJ//nwuu+yyiMR+6LbhKpZERI6HiqVy5G5/KabViX3XUuzb5nF590bEOKyszsxnzorMSIcnIiKHMH78eNq3b88VV1zBvffey6hRo+jfvz8A6enpfPrppwD079+fe+65h2nTpnHOOefwzTffMGPGDBo2bFjxQZtBrLvXA8U3pFXbcBGR46MGD+XIdCXhbjOUqOWvErVoBokDn2P4SQ15Zu4Gnvl5Pf1ap2Czql4VEalMoqKimDRpEpMmTTrouZUrVxa7P2zYMIYNG1ZRoR2WJW8bRsCDabGTba1DdsEGDKBZsjakFRE5HvpNvZwVdrwaAMe6L7Ds2cTFXRqQFGVnc66bL1dqdklERI6ftWgz2vjGZBYGAEiKthNlt0YyLBGRKk/FUjkLJLfF2zAdwwwSteRFYhw2LuoSunbp7YVbIxydiIhUB/ubOzQnp8AHQGKUPZIhiYhUCyqWKkBhp2sBcP31OvgKOK9DPWwWgyXb9rJix94IRyciIlXdgc0dioqlpGgVSyIix0vFUgXwNumLP6EpFs9uXCvfJiXGQd9WKQC8vWhbhKMTEZGqLrwML7EZOYX7iiXNLImIHLdKUSx5vV7OOeccfvvtt8OOWb58OcOGDaNTp04MHTqUpUuXVmCEx8mw4O5wFQBRi2eCGWTYvjbin/+1kz1uXySjExGRKq7YMryiYinaEcmQRESqhYgXSx6PhzFjxrB69erDjikoKGDEiBF069aNd999l7S0NK6//noKCgoqMNLj4253IUF7LLacNdg3/UCnBvG0TInB4w/y8bLS7fYuIiISFvRj3bMRCC3Dyy3QzJKISFmJaLG0Zs0aLrzwQjZu3HjEcZ9++ilOp5OxY8fSokUL7rzzTmJiYvj8888rKNLjZzricLe7CAhtUmsYBsM61wPgnUXbtEmtiIgcE8ueTRhBP6bVSTC2bnhmKVHXLImIHLeIFkvz5s2jR48evPHGG0cct2jRIrp27YphGAAYhkGXLl1YuHBhBURZdgo7XoWJgXPjt1hz1jCgXSoxDisbcwr5fUNupMMTEZEqyBZegtcMDAs5BV5AM0siImUhosXSJZdcwh133EFUVNQRx2VmZlKnTp1ijyUnJ7N9+/byDK/MBROa4m16BgBRi18g2mHlnPapALylNuIiInIMDuyEB6gbnohIGbJFOoCSKCwsxOEofqGqw+HA6/WW+r32TU4d8bkjjTle7s7X4Fz/Ja6Vb1HQaywXdK7PG39u5ceMLHbsdVM33lV+By+BishBVaA8KAdFlIfjz0FNzl1FsB44swTkFqpYEhEpK1WiWHI6nQcVRl6vF5er9IVFcnJcmYw5Zslnws/tMXYuI3njhyT3uolezZP5JSOLz1ZncduZbcvv2KVQrjmoQpQH5aCI8qAcVFb7Z5aa4w+a7Hb7AS3DExEpC1WiWEpNTWXXrl3FHtu1a9dBS/NKIitrL4frpWAYoV8GjjSmLLhOuIzYnePx/zaD3JaXMfjEOvySkcVrv23k0k71cNgitzqyonJQ2SkPykER5eH4c1D0eikfB84s7d43q2QA8S4VSyIixyvircNLolOnTvz555+Y+87SpmmyYMECOnXqVOr3Ms0j30oy5nhv7lbnE7THYMtdi23zz5zaPJnasQ6yC3x8s2pXuR+/MuSgKtyUB+VAeSi7HEg5CXiw7N0MgD+hWfh6pYQoO1aL1j+KiByvSlssZWZm4na7ARgwYAB79uzhwQcfZM2aNTz44IMUFhYycODACEd5bExHLJ42QwGIWvoSNquF8zuG2oir0YOIiJSUdfdGDDNI0B6LGV2bnEJ1whMRKUuVtlhKT0/n008/BSA2Npbp06czf/58hgwZwqJFi3j22WeJjo6OcJTHrvDE4QA41n2BJX8H53eoi9VisGjrHlbtzItwdCIiUhUUa+5gGOGZJe2xJCJSNirNNUsrV6484v2OHTvy3nvvVWRI5SqQ3A5fvZOwb/sd1/LXSDnpZv7RMoWvVmXy9qKt3HFG60iHKCIildzf24YXdcKrpWJJRKRMVNqZpZqgsH1odsm1fDYE/QxLCy3F+2TZDnbs9UQyNBERqQKsuRnA/rbh4ZklLcMTESkTKpYiyNPybIKuWljztuFY/zVpDRJIaxCPN2Dywm8bIx2eiIhUcn/fYymnaI8lFUsiImWi0izDq5GsTtztLiL6z2lELXsJb/MzuSG9Kde/sZgPlmzn8pMaUT8hspvUiohI5RUulhKKzyxpQ1oRCAaDBAL+SIdR5gwD3G43Pp+3RncbPVoeLBYLFosV4zh3RlexFGGF7S8j6s9ncGz8Hsvu9XRp2JTujROZtzGX53/dwN1ntol0iCIiUhn5CrHmbQMgkNgc2D+zpGV4UtN5PIXk5GQC1bOayM62EAwGIx1GxB0tDw6Hi/j4Wthsx/4zUcVShAUTmuBr3AfHxu+IWvYK+SffxQ2nNGXexoV8smwHV3RvTOOkqEiHKSIilUzRrFLQmYjpSgIgt6CowYMjYnGJRFowGCQnJxOHw0VsbMJxzyxURlarQSBQPQvB0jhcHkzTJBDwk5eXS1bWdurUaXjM3wcqliqBwhMvx7HxO1x/vUF+91vpUD+e9Oa1+Ckjm+d+2cD9Z7WNdIgiIlLJ/P16JThgZknL8KQGCy29M4mNTcDhcEY6nHJhs1nw+zWzdOQ8OLFarWRn78Dv92G3H9uHSGrwUAl4m/QjEFsfizsH59pPALjh5KYAfPHXTtbuyo9gdCIiUhmF24bvW4IXCJrsVoMHkbDqOKMkpWMYx1/qqFiqDCxW3O0vBSBq6csAtEmNpW+rFEzguV82RDA4ERGpjKx7NwP7mzvsdvvCV2ckqFgSESkTKpYqicJ2/4dpsWHf/gfWXcsBGHFyEwzg61W7WLkzL7IBiohIpeJpPhBvg164W58P7O+El+CyYbPoE3URkbKgYqmSMGPq4Gk2AICoJS8C0CIlhv5tawMwfe76CEUmIiKVka9xH3YPfotgQhMAcgvVNlxEpKypWKpE3B2uACBq+as4V70HwHW9mmAx4MeMbJZu2xPJ8EREpBIL77GkJXgiImVGxVIl4mvQi4JOIwCI+3oM9k0/0aRWNGefkArA9Lm6dklERA5tfyc8tQ0Xqcy2bdtKeno3fv75Jy644FzOOKM3jz32XzIy1nDNNcM5/fR0xo69mYKCUIOv999/h2HDBnHGGb0ZOXIEa9euCb9XZuZO7rprLAMG/IN//KMXV199KYsXLww//9ZbrzN06Dn07Xsy11wznEWLQs8tWPAH6endisX14IMTePDBCQA8//x0xo+/hX/+8zoGDuzLn3/Ox+v18thj/+Xss/tx9tn9uO++u9mzZ3e55qoyULFUyeSfchfuloMwgj7iP7sW667lXNOrMVaLwa8bcpi7LjvSIYqISCWUU+AFNLMkUlW88sqLPPzwI4wdeydvv/06d9xxGzfc8E8eeeRJli5dwkcfvc9PP/3ACy88y80338bMmbPp1CmN0aOvZ8+e0Gqj++67m0AgyPTpLzBz5mxq167D1KkPA7Bq1Qqefvp/3HLL7cye/TadOnXmP/8ZV+LNbH/88XvOOONMHn98Giec0J7p059ixYrlTJnyPx5/fDp5eXncffft5ZafykLFUmVjWNh7+qN4G/TC4ssj4aPhNDKyuKBTPQDu/mQFG3MKIxykiIhUNkXL8LTHkkjVcOWV19KyZSvOOGMASUm1OP30MznppJ507NiZbt26s2HDel599SWGD7+KU07pTaNGjbnuuhtJTa3H559/imma9O59Gv/+9200adKUZs2aM2TIhaxblwHAtm3bMAyDunXrUq9efa677ibuvvv+EhdLtWolM3jwBbRq1QbThHfffZPbbruDE044kRYtWnL33ffx55/zi810VUfalLYysjrZM3AGie8OwZa9koSPL2P0oHdZvn0vS7btZcx7S3nhkjTiXPrnExGRkKIGD7U0syRSJdSv3yD8d6fTSd269Yrd9/l8bNiwjqeffoLp058KP+f1etm4cQOGYXD++Rfw1VdfsHTpYjZsWM/KlSvCxVCPHr1o3rwll19+Ma1btyE9vQ+DBp2PzVay3x8PjGfr1s34fD5uuOGqYmOCwSCbNm2gRYuWx5SDqkC/bVdSpjOB3ee+TOI752HLWUOdL69hytmzuPz15WzIKeTOT/7i0fNPxKr2sCIiwv5rltQNT6RqsFqtxe5bLAcv+AoEAowePYZu3boXezw+Po5gMMi///1P9u7dS79+Z3DKKafi8/m4887bAHC5XDz77IssXLiAuXN/4NNPP+L999/h+edfPuSGvYFAoFhMDoej2HMATz89g6io6GKvq1WrVim/8qpFy/AqsWBsfXaf8wpBRzz2bb/T7OdbmHpeW5w2C7+sz+HxHzIiHaKIiFQS4WV4mlkSqTYaNWpCZuZOGjZsFL699NJMli5dwvr1GSxcuIDHHnuayy+/mpNPTicraxcApmmydOliXn75Bbp06caoUWN49dV38Ho9LF68ELs99HOiqIkEwNatWw4bR4MGDbFarezevTscR0xMDI8//gjZ2dX7enoVS5VcILkNe856HtPiwJnxGd0XjuO+M5oC8Or8LXy0dHtkAxQRkUoh3DpcM0si1cbFF1/Km2++xueff8KWLZt5+unH+eabOTRt2ozY2DgsFgtff/0F27dv49tvv2LmzOlAaKme0+nkhRee46OP3mfbtq18/fWXFBYW0qJFK5o1a47T6WTWrJls3bqFV199iVWrVh42jujoGM49dzD//e/DLFjwB+vWZXD//fewZcsm6tWrX1HpiAgVS1WAr0Ev9pz5VKhgWvsJ56+8mX92SwJg4lerWbSl+rdtFBGRwwuaJrvd2mdJpLrp168/I0bcxIwZzzB8+EXMn/87kyY9SuPGjalTJ3Vfp7uXGD78Ql5++UX+9a9bsVqtrF69klat2jB+/H949dWXuPTSC3jppZncffd9NG3ajJiYWMaNu4uvvvqC4cMvZM2a1QwdeuERYxk58t9069adu+4ax/XXX4XNZmXKlP8dtJywujFM0zQjHURF2rVrL4f7ig0DUlLijjgmkuyb5xL/6TVYfHn4arVlnOse3s0wqRVtZ9aladSNdx33MSp7DiqK8qAcFFEejj8HRa+vKjweD/feey9ffvklLpeLq6++mquvvvqIr9m8eTPnnnsuzzzzDD169CjV8Y6W15LkP7fAxxnTfgHgl5vTsVmr12eh+n8YojyULAc+n5esrG0kJ9fDbq+e+47ZbBb8/pJ1tavOjpaHI30vlPTcVL1+mlZzvoankHv+OwSi62DPXsHkPbfSt1YO2QU+bn5vaXiPDREROXaTJ09m6dKlzJo1i3vuuYcnn3ySzz///IivmTBhAgUFBRUU4cGKmjvEu2zVrlASEYkk/UStYgK125M79H38Cc2w5W3h2cBdnBa9nrW7CrjxrcVkq2ASETlmBQUFvPXWW9x55520b9+eM844g2uvvZbZs2cf9jUffvgh+fn5h32+IuQUhn72q7mDiEjZUrFUBQXjG5M79H18dTpj8+TwvHEf50UvYe2uAm54czFZ+SqYRESOxYoVK/D7/aSlpYUf69q1K4sWLTrkRo45OTlMmTKF++67ryLDPEhuga5XEhEpDyqWqigzKpncwW/iafwPrAE3j/JfhkYvZF1WATe+uZhdKphEREotMzOTpKSkYvuLpKSk4PF4yM3NPWj8ww8/zPnnn0+rVq2O+ZiGcfTb0cYduMdSSd6vKt5KmqvqflMeSpYDkQMdz/eJNqWtyuzR7DlrJnFf34xr9QdMsTwK0WN4J7sTN765iGnDOpIS64x0lCIiVUZhYWGxQgn2b8zo9Rb/EOrnn39m/vz5fPzxx8d1zOTkkjW/ONI4z77PPuvViq5SzTRKq6S5qu6UhyPnwO12k51twWo1sNmq77xAdf7aSuNIeQgGDSwWC0lJMbhcx9YITcVSVWe1s/f0/wHsK5gewYi5hbezO3L9m4t55sKO1FbBJCJSIk6n86CiqOj+gSdat9vNf/7zH+65555jPgEXyco6eje85OS4I47bkpUHQJQl1F2vuilJDmoC5aFkOfD5vASDQQIBs9p2jFM3vJCj5SEQMAkGg+Tk5GO3+4o9V/S9dNRjHHeUEnkWW7GCabJlKkbMLbyV05Eb3lzM/4acSMPEqAgHKSJS+aWmppKTk4Pf78dmC50iMzMzcblcxMfHh8ctXryYTZs2MXr06GKvv+666xg8eHCprmEyTUr0i++RxhVtSJsY5ajWv0SXNFfVnfJw5BzU9NzIwY7n/4yKpeqiqGAyTVxrPmSSZSrEhgqmy15ewNh+LRnYrg6GFvKKiBxWu3btsNlsLFy4kG7dugEwf/58OnTogMWyf6lHx44d+fLLL4u9tn///jzwwAOccsopFRozHHDNkho8iIiUKS12rE4sNvae8TjuloOwBH1MCk7lutp/ke8NcM9nK7n70xXsdfsjHaWISKUVFRXF4MGDmTBhAosXL+arr75i5syZXH755UBolsntduNyuWjSpEmxG4RmppKTkys87qJ99lQsiYiULc0sVTf7CiYwca35iDvyHuL6xIasLYhi19p4/txYi06tWpBatyH+1DT8tU+MdMQiIpXK+PHjmTBhAldccQWxsbGMGjWK/v37A5Cens7EiRMZMmRIhKMsLrwML1rFkohIWVKxVB1ZbOw94wkwrLhWv0+KewMpRXOIQWDlvhvgaXYm+T1uI5DcNkLBiohULlFRUUyaNIlJkyYd9NzKlSsP+7ojPVeegqbJ7n3L8GqpWBIRKVMqlqori429/Z+koPsYLHnbsBRm4du7k3kr1pCTuZX6Rha9rUtwrvsCx7ov8bQZQv5JYzATm0Q6chERKYW9bj+BfRcuJ2oZnohImdI1S9VcILE5voan4Gk1iGCXa+l2ycMwYCqjLHfS3zOJTwLdMTBxrXyHWq/2Iea7O2Dv9kiHLSIiJVTU3CHWacVu1WldpCpbvHghN954Df36ncLpp6dz662j2bVrFwC//vozV199Kf36ncJll13EH3/MC7/uiy8+5ZJLhtKv3ynccMPVrFq1AoAHH5zAgw9OKHaM9PRuLFjwBwAXXHAuTz/9OOeddyZXXXUJpmny00/fc9VVl9C378kMGHAa99xzBwUFBUc81o4d2+nd+yRWrlwRHpeTk02fPj3YvHlTeaWrQmhmqQY6o01tujZKYMYvdRi9qAHT/BncZn+TPiwmaulL8NfrJEWnEnTGYzrjMR3xmM4Egs54fHW74W15TqS/BBER2afoeiU1dxA5PNM0cVfwvkQum6VUXYjz8vIYO/ZmLrroUu6++z527crkoYfu45VXXmDQoCGMG/dvrrrqOvr168+PP37L+PG38Prr77FmzWomTryPm2++lW7devD2268zduy/eeutD0t03DlzPueRR54iGAyydesW7rprHGPGjOOkk3qwadNG7rvvLj788F0uvvgyfvvtl8Meq2PHznz33de0aRO6tOO7776hVas2NGzY6JjyV1moWKqhakU7GNuvJRem1eepH5O5Yk1zehh/cbvjddICq7Hu3YT1UPsaLppBwY7ryT/5rtBuXiIiElFFM0uJUY4IRyJSOZmmybWvL2Lx1j0VetxO9eN57uJOJS6YPB43V1xxLRdffCmGYVC/fgNOO60vf/21jE8++YAOHTpx5ZXXAnD55VeRn19AXl4eH3zwLmecMYDBgy8A4J//vBmbzc6ePbtLdNz+/QfSokVLADZt2sjNN9/GoEHnA1CvXn26du3OunUZAEc81umnn8kbb8zm+uv/CcA338yhX7/+JcxW5aViqYZrWiuaKee158/Nu/nf93Gcv70tTYwd1LPl07+Zk380cpBic2N4d2PdvYGo5a8SvXA6FncOe/8xGSz6FhIRiaTcorbhau4gclhV4ePd5OQUBg48hzfemM3q1atYv34da9asokOHTmzcuIE2bdoVG3/ddTcCsHHjBgYP3t+h0263M3LkzSU+br169cJ/b9SoMXa7g1mznicjYy3r12ewbl0GZ5551lGP9Y9/nM5jj01h9eqVJCensHjxQu6+u+QbdFdW+k1XAEhrmMALl3Tm61W7eH5eHL/uzOPXVfDAaji1RTKXdG1I57R4fHW7EvftWFwr3sRw57DnzKfBFhXp8EVEaqzwhrQqlkQOyTAMnru4U6VfhpeZuZNrrx1Omzbt6NatB4MGnc/PP//EsmVLsNkO/yv7kZ4zDAPTNMP3/f6D99t0OJzhv69evYqbbrqW9PRT6dy5CxdffClvvvlaiY6VmJhIt249+O67b0hJqU379h2oUyf1sOOrChVLEmYYBme0rc3FpzTj4z82Mnv+Fn5dn8N3a7L4bk0W7VJjuTCtD2ed8Qx1vh6Jc/0cEj68jD1nz8R0JkQ6fBGRGknXLIkcnWEYRNmtkQ7jiH744Vvi4hKYPPmx8GNvv/0GAA0bNmbVquLbE9xww9VccMFFNGzYiDVrVocfDwQCXHzx+dx9933YbDZ2784NP7d165YjxvDFF5/SuXMa99zzQPixzZs30qRJs31xHP5YHTt25owzzuT112dTp06darEEDyLcDc/j8XDHHXfQrVs30tPTmTlz5mHH3njjjbRp06bY7dtvv63AaGsOwzDo1awWTwztwBtXdmVwh7o4bRb+2pHHvZ+v4tRP45ic/CBeWyyObb+R+N4wjPydkQ5bRKRGytXMkki1EB+fwI4d2/njj3ls2bKZV155ke+//wav18vgwUNZvPhPXn/9FTZv3sSsWTNZt24tnTt34YILLuLLLz/js88+ZvPmTTzxxCMEg0HatGlLu3bt+f33efzxxzwyMtbwyCOTsNsP/7MiISGBtWvXsHz5UjZu3MATTzzKX38tx+cLLfc90rEATj31NDZt2sCff86nb9/TKyRv5S2iM0uTJ09m6dKlzJo1i61btzJu3Djq16/PgAEDDhq7du1apkyZQq9evcKPJSRoNqO8NU+O4c7+rbkpvSnvLd7OJ8t3sDGnkGkb6/OdcScvOx4mJWs5UW8Ownvqvfgb9wZ7dKTDFhGpMbILiho8qFgSqcr69j2DRYv+5K67xmEYBu3ancDIkTfz/PPTqV27Dg88MJlnnnmCZ599mmbNmjNp0qOkpNQmJaU2Y8aM44UXniMraxdt257A5MmP4XS6OPPMs1iyZBHjx99CbGwc1157wxFbeV9wwcWsWrWSm2/+Jw6Hg86d07jqquv46qsvAOjcucthjwUQHR1Dz54nk5+fT1JSrQrJW3kzzAMXMlaggoICevbsyXPPPUePHj0AePrpp/nll194+eWXi431er107tyZTz75hGbNmh3XcXft2svhvmLDgJSUuCOOqe6OlgPTNFm5M48vVmTy5YqduPI38bJ9Ik0soZmlgGHH37AXviZ98TbpSyCxeQV/BWVD3wvKQRHl4fhzUPR6ObSj5fVo+b/kpfmszszn8aEn0qtp9fjl5O/0/zBEeShZDnw+L1lZ20hOrofdXj27RNpsFvwVfA1WSd1449Wcc85gzj57ULkf62h5ONL3QknPTRGbWVqxYgV+v5+0tLTwY127duWZZ54hGAxisexfIZiRkYFhGDRqVLX7tFcHhmHQNjWOtqlxjDq1GYu3tOOFpY1pteY5TjXn08iSiXXTDzg3/QA/TcCf0BRvi3Mo6DoS0xEb6fBFRKqdomuWaql1uIhE0IIFf7B48ULWrVvHP/5RPZbgQQSLpczMTJKSknA49v9wT0lJwePxkJubS61a+z8dy8jIIDY2lrFjxzJv3jzq1q3LqFGj6NOnT6mPe6SmJEXP1eTtg0qTA6thkNYogbRGPdjj7sLMeZv4dcHvnGwuoK9lIT2sK7HtXo9twZM4V71L3j8extekb/l+AWVE3wvKQRHl4fhzUJNzV95M0wxfs5Soa5ZEJII+//wTfvzxe8aOvZPo6OpzSUbEiqXCwsJihRIQvu/1eos9npGRgdvtJj09nREjRjBnzhxuvPFG3njjDTp06FCq4yYnH326rSRjqrvS5iAFuKdhLXae0YYnv+nJlfM24vTlc5plEfdEv03tvK0kfHQ5dLgQBkyEmJTyCbyM6XtBOSiiPCgHlVGeJ4A/GFqLpG54IhJJd9xxT6RDKBcRK5acTudBRVHRfZfLVezxm266ieHDh4cbOrRt25Zly5bx5ptvlrpYyso68jVLyclxRxxT3R1vDizA6FOaMKR9Hab/vIFPlkfzdV4aY2xvc7XtM6xL3sS7cg7uU+/F2+b8SvuRs74XlIMiysPx56Do9VL2svdtSBvjsOKwRbTBrYhItRSxYik1NZWcnBz8fn94g6vMzExcLhfx8fHFxlosloM63zVv3pw1a9aU+rimyVFP9iUZU90dbw4aJERx38C2XNm9ER8s2c4zK67m44KePGx/jnbeTTi+Gs2aea8R7HQ5KY3bE4hvDJbKt+2XvheUgyLKg3JQGYWX4GlWSUSkXETst9N27dphs9lYuHAh3bp1A2D+/Pl06NChWHMHgNtvvx3DMJg4cWL4sRUrVtC6desKjVlKr3lyDP8+rQWjTm3OHxtb89Syk2i59gVutLxLyz2/wI+/AOA37HjimmKt3YZAUgsCtdriq30iwYSmlXb2SUQk0sLNHXS9kohIuYhYsRQVFcXgwYOZMGECDz30EDt37mTmzJnhgigzM5O4uDhcLhd9+/ZlzJgx9OjRg7S0ND766CPmz5/PfffdF6nwpZRsFoOeTWvRs2ktCrxT+HzxhSQufoba+atpZmwjCi+2Pathz+pirws64vHXPhF/7Q7463TEV7ujCigRkX1yNLMkIlKuIrruafz48UyYMIErrriC2NhYRo0aRf/+/QFIT09n4sSJDBkyhP79+3PPPfcwbdo0tm7dSqtWrZgxYwYNGzaMZPhyjKIdVk7u1hO69WSv28+bazNZsmI5u7csp3FwMy2NrbSzbKCdZRNO7x4cW37GseXn8OsD8Y3xtByEu9UgAsntVDiJSI1VtAwvSTNLIiLlIqLFUlRUFJMmTWLSpEkHPbdy5cpi94cNG8awYcMqKjSpIHEuG2e1r8dZ7etR6DuNn9dl882qXTy4Phu320NrYzMnWtbRwVjHSY6NtDTXY9uzkegFTxK94En8Sa3wtBqEp9V5VXYDXBGRY5VdUDSzpD2WRETKQ+W7ol5qrCi7lX6ta9OvdW38QZNl2/bw8/rm/LLuRN7ckQd+iMJNP8ufDLb/Sh9jIfac1djmTSVm3lT+v707D4+iShc//q2q3rLvCWEL+w4hhImMgDARRFEGHbmXe3FUxGX8CeNyxQUUgUFEBdFBXEZRxOWKGy5cHBwVZUQURAcYkC1h30ISEiBbd1fV+f3RSUtMgAQNAfr9PE8/3V1V3XXqpdNvv5xTp8y4Dljx7bFiWlXe0rBiWmFHNAFNZokSQpx/iipnw5OeJSGEaBhSLImzkkPXSG8WQ3qzGP5f31YcLvPx7c4iVu44zIpdUfxf+W+JoozB+hqGGd/Q39iAo2grjqKtNd5LGW6s6BbYUc2xolpgRTevfNwcK7olKixRhvIJIc5JwWF4cs6SECHp448X8/LLL/Duu4sbuynnLSmWxDkhPtzF0C4pDO2Sgq0Um/NK+HZnEd/ubMJN+y8iyn+MXvo20rQ80rQ8Wul5tDMOkaryMCwvjqIcKKp9qnnbFYUV26b6La4tRHYF6lFEVc2pXJfCyzZx7luJe/tSNLMCf1J3zOR0zMQu4PCc+vU/o5UV4Mxfj1G8HTOpO/7U35wdvWm2iSNvLa7dX+Da+zXKcGLFtq28tcGMa4sd1QJ0o7FbKsQ5qWo2POlZEkKIhiHFkjjn6JpGlyZRdGkSxZg+LSnxmqzeXcy6fZ3YkF/KokMlHKkwAXBg0lQrpLmWT3Mtn9ZGIR3dh0kzCkiy84nyHUL3HUM/tA7noXU19hXvjsGKquyJquydsj3x6OUF6CUH0EsPYlTe66V5KHcM/iaZ+Jv0xp/6G8zk7mC4A29mmzj3fYM7ZzHu7UvRKw4H9+PZ/DYASndgxnfETO6BmdgN5Y5BOTwoww0ON8pwoxxh6GWHcB5ajyN/PY5D6zFK9ldrtxWRgrftFXjb/x4zJeOXFU7KxijeiSP/3ziq9lmwCeWOxoptjRkTKC6t2DZYMW1AN3DtXo5z95e49n6F7j1S/f32fVP97XUXVlxbfM374msxAH+zPuAIO/32ChFCZIIHIYRoWFIsiXNepNtBdvtEstsnAqCUIr/Ex7b8Urbml7AtP5XthaWsPlyO6VPg++m1bny01A7RxZVHr/BCOjnzaKH2keDdi9t3GN17JPBjv2BjndqilRfg3vEJ7h2fBNqiuzCTe2BFt8C1e3m1Asn2xONtcxl2eCKO/H/jPLQOvbwQZ8FGnHXcXxWFFihYotNwHliNUZpH+PqXCF//ElZkU7xtr8CfmonuPYZWUYTuLQ7cVxShVRUzmgG6gdIdwcdYx4jfvxbdd6zmTr3FGEd342L5Sdtmu2PxtRyAr8VFoBkYxbk4inMxinIxjuxEs7w4CjfhKNxE+Lp5KMONv+kF+FoMwNdyIFZ8h7oPk1QKvewQynChPHH1CGA9egV/TbYZ+Lff9y3OQ2uxw5Pwp2RgpmRgxbQ+rfbopXm4tv8dR1EOZmIX/Cm9sOLa1957Z3lx7l+Na/eXuHZ/iXFkJ/6mffC2uQxv60tQEcm/wkGKhqKUCk4dLsPwhDgFpcAsP7P7dITV+Xt88uQJOJ0uHnxwanDZlCkP4PF4GDp0GM899zRbt25G0zR69uzFgw9OJjY2oV7NUUrx2mvzWbz4A/LzDxETE8vw4X9gzJhbADBNk5de+hsff/wRFRUV/OY3fbjnngnExMRSXl7O00/P5ssvlwEwYEA2d945HrfbTb9+vZkz53l69QpcN/X4oYE//LCGRx6ZSp8+F/Lpp0u59tobGDnyGp5//mk+//xTiooOk5SUzLXX3sDw4X8AOOG+Fi58nWXLPmXBgoXBY3rjjddYvvwLnn12Xr1iUR9SLInzjqZpJEe5SY5y07dNfHC5adnsLi5ne0EZ2wtL2V5YRm5BKduLXGzzNudDb/X3CaeCNKOA7hFH6OguopWjkGbkE6uOYkcko0Wl4oxphjO2KXZkKnZ4CnrpQZwHvsN5cA3Og2sCxU/lYwDbExf4IdpuGP5mvwX9uD9BpdBLDuDIXxfowSncjOYvQ7O8YFagWd7Kx16UK6Ly2lPpgfukbihXVOB9LC+u3f/EnbMY145/YJTsJ3zdC1Cz46xOdALnfZmJXTCTegT3p/lLMYq3YxTnYhTvCNwf2QW2iZnSE1/LgfhaDsRM7nniYXa2hV6yD8eh9bj2LMe1ezlGyX5ce/6Ja88/YeW0WoZJBnqx7PAkjCM7MAq34Di8pfJ+c7Any4xphZnSK1B8NOmFmdAZDBfYVqBgy1+PI39DoMcsfyM43HhbD8Hb9nL8zS4E4zR+fCob/cguHEWB64UFegU9lb2CHpTDjV5WgHP/t7j2f4PjwBp0f2m1twj79yuB0LhjMVN6Btqf1CMwYUlUC3DW7HXTSw7g2v533DlLcB5YjYaqHmZnJGZyOv4mvTCTe6KX7AsUSPu+QfvZjwfXnuW49iwncvkEzNTf4G1zGb62l0Jil/rHQzSoUp+F3wr8W8t1loQ4CaWIXXRVMBefKf7U31B81aI6FUwXXzyEGTP+gmmaOBwOfD4fK1euYNKkqdx7752MHHkNkyb9hYKCfB555C8sWDCfO+4YX6/2LF26hLfffpMpU6bTrFlzVq1ayaxZj9K370V07NiJefOeZ+nSJUyYMJmUlCbMmjWDmTMf4eGHH+fRR6eRm5vDo48+gdvtYdq0Sbz44nOMG3fnKfd78OABfD4fL730Og6Hk9dem8/KlSt4+OHHiYuLY+nSJTz55OP07z+A+PiEE+7rqqtG8OKLz7F79y5atkwD4PPPP2XIkKH1ikN9SbEkQobD0GmTEEGbhAggKbjcZ9rsKipje0EZuYWl5BYEiqiDxzQ2Wc3ZdPTk1/NyGRoJESaJEflEut14nANwO36Hp5lGU3WA9t6NJJv7KYjL5EhyFpFhYUTrDqKKvES5LcKcBg5dw9A1jMhU7Kim+NpcdvoHarjxtR6Mr/VgMCtw7f4Sd85ijKO7sd2xKE8cticO5YkN3LtjAsP0bAuUhWabgXtlERkbR1FYO8zY9rUWD/6mF1RfYJtg+cAZXre26gZ2dEt80S3xtbsClMIoygn8kN/zJc593550mGRtlKajKRvHkZ04juzEs3VRYLnhxopphXF0d40CIXAwJYT9+L+E/fi/2O4YvK0vxdd2KP6W/Y97cwW2D82sQDMr0Ev24yj4sfK2EaNwU43i51Rsdwz+1Cz8TTLRy/Jx5v0LR8FGdG9xsMfneFZ4MnZ0C6yoFtiRTXAe/B7nge+qH0plkego3IQzby26vwTXvq9x7fu6xv6t8BR8LQfibzkAM7Ytrj1f4s79O85Da3EeWI3zwGr4eir0uh4unF6vYxMNq+p8pTCnjscp5/0JcVJn+UROffpciFI2P/ywhqysPqxe/S1ut5tOnbpw/fU38V//dQ2aptG0aTMGDsxm8+b6jUABSElpwsSJk+ndOwuAK68cwfz5L7JjRy4dOnRk8eL3GTv2Tvr0uRCA8eMnsGzZpxw9epQvv/ycJ598hh49egJwzz0T2bZty4l2VcM111xP8+YtAGjXrgOZmVl069YdgGuvvYH5819kz57dOBzOE+6rWbPmdO7clS+++Izrr7+RgwcPsGXLZh57bHa9Y1EfUiyJkOdy6LRPiqR9UmRwmaZBbFwEP+4sZP+RCvYfqeDA0Qr2H/Vy8GgFhaU+Ckv9HPOa+CzFgaNeDhz11vLuOtA9cNsJsP2U7dE1MHQNh64R4XIQ6TaIcjuIcDuIcgeex4Y5SYp0kxzpJjnKRVKkm/hwJ/rPk4HDg6/NpfjaXFrvuGgaRCZGYRUc42cdFSdpvKN6b9lp7NSKb095fHvKe94MlhejeCfGke2BXqyi7TiObMcoykWvOIwV1QIzoSNWfMfAuV4JnbDi2qL5y3EcWovz4A848v6FM+8HdO8RHIcDX+zKEY6Z1A1/UrdgT5leVoA7dwnu7X9HLy8kbPNbhG1+C+UMB4eHBH95oIfvFMFQhhszrj3ojuq9gmYFWF5whOFP7Y2/aR98TX+LldCpZs+b5QsUYIfWVhZPm9CP7UH3HcMoO4RRdgjnwe+rvcTfpDfedlcEhnZGNftphW1hHN4SeJ+8H3AeWo/tiQ/0/KUNxIrvVO1HRHlSV8p7jUU/th/XjqW4t/8d5/5VaAXbTv/fVTSI4BC8cLnGkhAnpWmBHp6zeBiey+Wif/+BLF++jKysPixfvoyBAy8mKSmZyy67grfeeoNt27ayc+cOcnK2BguJ+ujVqzcbN27g+efnsmvXDrZu3UJhYSG2bVNcXMyRI0fo2LFzcPvWrdtw441/YtOmjViWRadOP61LT88gPT2jzvtu0iQ1+Piiiwby3Xff8vTTT7J79062bt0MgGVZ7Nu356T7Gjx4CB9//H9cf/2NLFv2Kb16ZRIXF09DkmJJiBNwGDpNYzykRnvIbFH7NhV+i8NlfgpKfRSU+ij1mnhNmwrTxmtaVPhtvKZNmd+i1GtytMLkmLfyVvnY/tlvb1uBbSn8lqLc76Ogjh0Vhq6RGOHC49BxGBoOXcdpBIouh6Hj1DVcho7LoeMytMr7wC02zElChIvECBcJES4SIpzE1vGEcctWlPoCx1JSYeG3baI9TmI8DqI8jpoFXH0YbqyEjlgJHWvZsf+EQ+WU4cbfciD+lgMrF6jAkL2iXKzY1oHzgX5WoFgJ4G/Rn5KLpuM8sAp37hJcuX/HKDsE/rIa8yIqNFRYQmB4YmIXzMSumAldAjMp/pKCEcBwYab0xEzpSUX30cFj0LzFGEf3oB/djXF0D0bJPqyY1njbDsWOTK39vXQDK7ELVmIX6HpNnZtgRzWloscYKnqMQfeXkJCSCEUVv+y4xK8qOBOeDMET4tQ0re6jHhrJxRdfwiOPTOWOO8azYsU/mTFjFvn5h7jppmvp2LEzvXtfwO9/fxUrV67gxx831Pv9Fy/+gDlzZjNs2HAGDMhm7Ng7uf32WwFwOE6ct062rjaWZdVY5na7g49feOFZFi/+gKFDh3HppZdz9933M2LEsDrtKzv7EubOfYq9e/fwxRefc9VVV9erbadDiiUhfgGP06BpjEHTmPpP9w1gK4VpKayqe1thqsC937Ip9VqU+ExKKgusEq/FMa9JcZmfQyVeDpX4OHTMS2GpD8tW5B2rrXfr9BgaxIS70CofG7qGrmmV91DutynxmpT6an4pVtE1iPY4iQ1zEONxBoYcVhZwTuOnYs5p6IQ7DcJdlbfjHjsNHV0LzIJoaBracW1xGl6ceqA4rHo/px6Y+e/4WFq2wlKpWDFN0NEwjvkwtMB76LqGoQUuiuxxBia28De7MHDeUr+/4CjOIS4ugsPHrMrzjgI3dNeZHdahaShPHKYnDpJ7nLn9AsoVWVmYSrF0NikulwvSCnE+6d07C9u2eOutN/B4PKSnZ7Bo0dtERcXw+ONPBbd79923qPuQj5988MF73HDDTYwadR0Ax44d4/DhQpRSREVFERsbS07OVtq2bQfAtm1buPfeu3jttbcxDINt27aRnt4TgK+++pL581/k5ZffwOl0UlZWFtzP/v37TtqODz98j7vvnkB29iAAduz4adRN06bNTrqvxMREMjIyWbLkI3JztzFwYHa941BfUiwJ0Yh0TcPlqPzB/Qt+75iWTUGpj8JSH17Lxm8pTFthWnblvcJn2fgtG6+l8Js2Pitw85o2xeV+Cit7xwpL/RSX+7EUHC71nXrnlTwOnUi3A6ehcbQiUETZKjC1cWB64zM8/OE0hDsN4iOcxIW5iA93Eh/hJDbMRVy0g4pyG0PzYeh+dL0kWLhZtsI+riizVWBZVXx95k9x9lkKp67RIi6MlnFhpMWF0TIunCiPfBWL+jtc2bMkkzsIcX5wOBwMGJDNq6/OZ9iw4WiaRnR0DHl5B1mzZjWpqU354ovPWL58GZ0713/SnZiYGNasWU2/fgMoKyvjhReewTRN/P5Arh8x4r+YN+95kpKSiY2N469/fYKuXbsTGRnJpZdezl//OpPx4yeg6zp/+9uz/Pa3fQHo1KkL7733Fmlprdi1awcff/wRTueJhwdHR8fw9df/pGPHThQUFPDXv84CwOfzERFx8n0BDBo0hCefnEnv3hcQHR2Nadr1jkV9SIYW4jzgMHSaRHtoEn16PVw/Z1o2ReV+jDA3hYdLMG2FbSss9VNx4HEGzqWKchuVRVL1azn5LZsj5X6Ky02OVAQKJq8ZKNhMWwULOn9lQVHmtyj3W5T5Km+Vj81gERIoRKruLfungtB3XIFYIzaVk2c4KnujAq+v6m0C21bB/58r81uUFVvsLT6zPShxYU6ax4bhMLRAUVU5jNNrBoqsquPSKnvYqvqzNE0j3KkHz2eLcjuI9ATuw5168Pis42JWdew/j4FVOX16uNMgwu0gwmUEbpXnyQ3u4eQsuMyxOE6xTBsuxHnn4osv4cMPF3HxxUMAyM4ezLp1/+LBB+9D0zQ6d+7CuHF38tJLL+Dz1f0/NAHuuGM8jzwyldGjRxEXF8fFFw/G4wlj69bA+bx//ONojh07xkMP3Y9pmlx4YX/uvPOeytfezVNPzeKuu8bidDrJzh7MzTf/PwDuuuseHn30Ya67biSdOnXhxhtv5dVXXz5hOyZMeIgnnniUa68dSVJSEsOGXVnZm7SFPn0uPOm+IDCV+KxZMxg06JJ6Hf/p0pRS9e/HO4cVFBzjREesaZCYGHXSbc53EoMAicO5GQOlAkXY8UP16sJWijJf4PyzojIfhZX3h8sCRZ7D5aC0zBcs3I4v3gxNw9AD+zOCw/qOPycs8Nhd+bzcb7G7qJw9xeXsLionv6R+ya6xtEuOZOF1vU7rs1D1WRK1O9Xf2In+Fh/+ZCsfbjjIHQPa8MfeJ5+181x3Ln4fNQSJQ91i4Pf7KCw8QEJC6kl7OM5lDofe4D0qZ6s9e3Zzww2j+OijfxAdHXnSOJzss1DX3CQ9S0KI84Z2/LDGetA1jUi3g0i3g5Zx1a9j1NA/Tkp9JnuLKth7pBylCBZWHocefOyoPA9LqUAvmFKgCBRrFX4rOGFI4Ny2wPNynxUs3Ayd4PlmgYKuqsjTgkVloLAMFI2lwZtJqTfQy3d5etNf/+DFLzKsWwqlPotLOiademMhhDjHlZWVsmrVN3z44SIGDRpCePiZmbBDiiUhhGhEES4HHVMi6ZgSeeqNG8nxBaM4e6Q3iyG9WUxjN0MIcRb48svPmT59ygnX9+iRwRNPzDlzDWogjz32ME2bNuehh6adsX1KsSSEEEIIIcQ5LCvrt8yf/78nXH/81N3nqvDwCJYu/fKM71eKJSGEEOI4Xq+XqVOn8o9//AOPx8OYMWMYM2ZMrdt+9NFHPPPMMxw4cIAuXbowceJEevQ4s1O7CyFEeHj4GRuWFmpkciMhhBDiOI8//jgbNmxgwYIFTJ48mblz57J06dIa261Zs4YHHniA2267jSVLlpCRkcHNN99MaWkdryQthGhQITaHmajFr/EZkGJJCCGEqFRWVsY777zDAw88QNeuXRk8eDA33XQTb7zxRo1t8/Pzue222xg+fDgtWrRg7NixFBcXk5ub2wgtF0JU0asuTm6ZjdwS0dh8Pi8AhnH6g+lkGJ4QQghRafPmzZimSUZGRnBZZmYmzz//PLZtB3+EAVx22WXBxxUVFbzyyiskJCTQtm3bM9pmIUR1um7gdHooKSnGMAw07fzrG7BtDcuSnrMTxUEphc/npaSkiLCwyGrf3fUlxZIQQghRKT8/n7i4OFyun67HkZiYiNfrpbi4mPj4+Bqv+eabbxgzZgxKKWbNmkVERES99nmqy4FVra/jZcPOSxKDAIlD3WKgaRqxsfEUFBzk8OG8M9OwM0zXdWw7NK+zdLxTxSEsLJKYmPhaPy91/TuSYkkIIYSoVF5eXq1QAoLPfb7aLyDcvn17Fi1axBdffMH9999P8+bN6dmzZ533mZBQtwv21nW785nEIEDiULcYJCfHnvDvVpz/nE4nhmH84veRYkkIIYSo5Ha7a/y4qnru8XhqfU1iYiKJiYl07tyZdevWsXDhwnoVS4WFJ7/gsaYFfhiearvzmcQgQOIgMQCJQZVTx8Ffp9efihRLQgghRKWUlBSKioowTROHI5Ai8/Pz8Xg8REdHV9t2/fr1GIZB165dg8vatm1b7wkelKJOP3jqut35TGIQIHGQGIDEoEpDx+H8O+NNCCGEOE2dO3fG4XCwdu3a4LLvv/+e7t271zhB+N1332X27NnVlm3cuJE2bdqciaYKIYQ4A6RYEkIIISqFhYVx5ZVXMmXKFNavX89nn33Gyy+/zHXXXQcEepkqKioAGDlyJN9++y0LFixg586dzJkzh/Xr1zN69OhGPAIhhBC/ppAbhnfy2VNOvc35TmIQIHGQGFSROPzyGJxrsZswYQJTpkzh+uuvJzIykj//+c9ccsklAPTr148ZM2bwhz/8ga5duzJ37lxmz57NE088Qfv27XnppZdISUmp1/5kNrxTkxgESBwkBiAxqHKmcpOm5PLGQgghhBBCCFGDDMMTQgghhBBCiFpIsSSEEEIIIYQQtZBiSQghhBBCCCFqIcWSEEIIIYQQQtRCiiUhhBBCCCGEqIUUS0IIIYQQQghRCymWhBBCCCGEEKIWUiwJIYQQQgghRC2kWBJCCCGEEEKIWkixVMnr9TJx4kR69+5Nv379ePnllxu7SWeMz+fjiiuuYNWqVcFle/bsYfTo0fTs2ZOhQ4eyYsWKRmxhw8rLy+P2228nKyuL/v37M2PGDLxeLxA6cdi1axc33ngjGRkZDBw4kHnz5gXXhUoMjnfLLbdw//33B5//+OOP/Md//Afp6elcffXVbNiwoRFb17A+/fRTOnbsWO12++23A6EVh7OF5KbQzE2SlwIkN1UnualxcpMUS5Uef/xxNmzYwIIFC5g8eTJz585l6dKljd2sBuf1evmf//kftm3bFlymlGLs2LEkJiby3nvvMXz4cMaNG8f+/fsbsaUNQynF7bffTnl5OW+88QZPPvkkX3zxBU899VTIxMG2bW655Rbi4uJ4//33mTp1Ks899xyLFy8OmRgcb8mSJSxfvjz4vKysjFtuuYXevXuzaNEiMjIy+NOf/kRZWVkjtrLh5OTk8Lvf/Y4VK1YEbw8//HDIxeFsIbkp9HKT5KUAyU3VSW5qxNykhCotLVXdu3dX3377bXDZM888o/74xz82Yqsa3rZt29Tvf/97NWzYMNWhQ4fg8a9cuVL17NlTlZaWBre9/vrr1Zw5cxqrqQ0mJydHdejQQeXn5weXLV68WPXr1y9k4pCXl6fuuOMOdezYseCysWPHqsmTJ4dMDKoUFRWpiy66SF199dXqvvvuU0op9c4776js7Gxl27ZSSinbttXgwYPVe++915hNbTB33323euKJJ2osD7U4nA0kN4VmbpK8FCC56SeSmxo3N0nPErB582ZM0yQjIyO4LDMzk3Xr1mHbdiO2rGGtXr2aCy64gLfeeqva8nXr1tGlSxfCw8ODyzIzM1m7du0ZbmHDS0pKYt68eSQmJlZbXlJSEjJxSE5O5qmnniIyMhKlFN9//z3fffcdWVlZIRODKo899hjDhw+nXbt2wWXr1q0jMzMTTdMA0DSNXr16nbcxyM3NpVWrVjWWh1oczgaSm0IzN0leCpDc9BPJTY2bm6RYAvLz84mLi8PlcgWXJSYm4vV6KS4ubryGNbBRo0YxceJEwsLCqi3Pz88nOTm52rKEhAQOHjx4Jpt3RkRHR9O/f//gc9u2ef311+nTp09IxaFKdnY2o0aNIiMjgyFDhoRUDL755hvWrFnDbbfdVm15KMVAKcWOHTtYsWIFQ4YMYdCgQcyaNQufzxdScThbSG4KzdwkeakmyU2SmxozNzl+tXc6h5WXl1dLRkDwuc/na4wmNaoTxSMUYjFz5kx+/PFH3n33XV555ZWQi8OcOXMoKChgypQpzJgxI2Q+C16vl8mTJ/PQQw/h8XiqrQuVGADs378/eLxPPfUUe/fu5eGHH6aioiKk4nC2kNxUXah+BkM9L4HkJslNjZubpFgC3G53jaBWPf/5hzMUuN3uGv9r6fP5zvtYzJw5kwULFvDkk0/SoUOHkIxD9+7dgcAX9Pjx47n66qspLy+vts35GIO5c+fSrVu3av+bW+VE3w/nWwwAmjVrxqpVq4iJiUHTNDp37oxt29xzzz1kZWWFTBzOFpKbqgvF72TJSwGSmyQ3NWZukmIJSElJoaioCNM0cTgCIcnPz8fj8RAdHd3IrTvzUlJSyMnJqbasoKCgRjfn+WTatGm8+eabzJw5kyFDhgChE4eCggLWrl3LoEGDgsvatWuH3+8nKSmJ7du319j+fIvBkiVLKCgoCJ4bUvXF+8knn3DFFVdQUFBQbfvzMQZVYmNjqz1v27YtXq+XpKSkkIrD2UByU3Wh8p1cJZTzEkhuAslNx2vM3CTnLAGdO3fG4XBUOxns+++/p3v37uh66IUoPT2djRs3UlFREVz2/fffk56e3oitajhz585l4cKFzJ49m8svvzy4PFTisHfvXsaNG0deXl5w2YYNG4iPjyczMzMkYvDaa6+xePFiPvjgAz744AOys7PJzs7mgw8+ID09nX/9618opYDA2OkffvjhvIsBwFdffcUFF1xQ7X9sN23aRGxsLJmZmSETh7OF5KbqQuU7GSQvgeQmkNxUpbFzU+h929YiLCyMK6+8kilTprB+/Xo+++wzXn75Za677rrGblqjyMrKIjU1lQkTJrBt2zZeeOEF1q9fz4gRIxq7ab+63Nxcnn32WW6++WYyMzPJz88P3kIlDt27d6dr165MnDiRnJwcli9fzsyZM7n11ltDJgbNmjUjLS0teIuIiCAiIoK0tDQuvfRSjh49yvTp08nJyWH69OmUl5dz2WWXNXazf3UZGRm43W4efPBBtm/fzvLly3n88ce56aabQioOZwvJTdWFyveR5KUAyU2Sm6o0em761SYhP8eVlZWpe++9V/Xs2VP169dPzZ8/v7GbdEYdfy0LpZTauXOnuuaaa1S3bt3U5Zdfrr7++utGbF3D+dvf/qY6dOhQ602p0InDwYMH1dixY1WvXr1U37591XPPPRe8ZkGoxOB49913X/BaFkoptW7dOnXllVeq7t27qxEjRqiNGzc2Yusa1tatW9Xo0aNVz549Vd++fdXTTz8d/CyEUhzOFpKbQi83SV76ieSm6iQ3NU5u0pSq7LcSQgghhBBCCBEkw/CEEEIIIYQQohZSLAkhhBBCCCFELaRYEkIIIYQQQohaSLEkhBBCCCGEELWQYkkIIYQQQgghaiHFkhBCCCGEEELUQoolIYQQQgghhKiFFEtCnGf27t1Lx44d2bt3b2M3RQghhAAkN4lzlxRLQgghhBBCCFELKZaEEEIIIYQQohZSLAnRwA4cOMCtt95Keno62dnZzJ07F8uyWLRoEf/93//NrFmzyMjIYODAgbzzzjvB19m2zbx587j44ovp0aMH1157LVu2bAmuLyws5M4776RXr1707duX2bNno5QKrv/ss88YNGgQ6enp3HrrrRw5cuSMHrcQQoizl+QmIerG0dgNEOJ8ppRi3LhxdOrUiffff5/8/HweeughNE0jNTWVf//734SHh/PWW2+xfv16pkyZQmpqKv369eOZZ57hzTffZNq0abRq1YoXX3yRm266iU8++YTw8HDGjh2LYRi8/vrrlJaWctddd5GcnMzAgQMBeP/994NJaty4cbz44ouMHz++cQMihBCi0UluEqIelBCiwaxcuVL16dNHWZYVXPb555+rrKws9d5776lu3bqpgoKC4Lp7771X/fnPf1a2bausrCy1cOHC4Dqfz6cGDBig3nzzTbVp0ybVoUMHtXv37uD6Tz/9VH344Ydqz549qkOHDuqrr74Krps+fbq68cYbG/hohRBCnAskNwlRd9KzJEQDys3Npbi4mMzMzOAy27apqKiguLiYtLQ0EhISguu6devGwoULKSwspLi4mPT09OA6p9NJt27dyM3NJSYmhtjYWFq0aBFcP2jQIIDgTEMtW7YMrouKisLr9TbYcQohhDh3SG4Sou6kWBKiAZmmSZs2bXj22WdrrFu9ejUOR/U/Qcuy0HUdt9td6/tZloVt2zidzlPuW9fllEQhhBA1SW4Sou7kEytEA2rdujX79+8nPj6etLQ00tLS2Lt3L3PmzAFg165dlJaWBrffsGEDHTp0ICoqisTERNauXRtc5/f72bhxI61btyYtLY3i4mIOHDgQXP/qq69y2223nbFjE0IIcW6S3CRE3UmxJEQD6tevH82aNeOee+5hy5YtrFmzhkmTJhEWFoZhGJSVlTF58mRyc3N5++23Wbp0KaNGjQJg9OjRzJkzh2XLlpGbm8ukSZPwer0MHTqU9u3b06dPHx544AG2bNnCqlWreOGFF+jbt28jH7EQQoizneQmIepOhuEJ0YAMw+C5555j2rRp/Od//ifh4eFceuml3HfffXz88cekpqaSlJTEiBEjSEpKYubMmcEx5GPGjKGkpIRJkyZRUlJCRkYGr732GvHx8QDMnDmTqVOnMnLkSCIjIxk5ciSjRo1i3759jXnIQgghznKSm4SoO02p4ya/F0KcMYsWLWLu3LksW7assZsihBBCAJKbhPg5GYYnhBBCCCGEELWQYkkIIYQQQgghaiHD8IQQQgghhBCiFtKzJIQQQgghhBC1kGJJCCGEEEIIIWohxZIQQgghhBBC1EKKJSGEEEIIIYSohRRLQgghhBBCCFELKZaEEEIIIYQQohZSLAkhhBBCCCFELaRYEkIIIYQQQohaSLEkhBBCCCGEELX4/+5GOxlD65bFAAAAAElFTkSuQmCC"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "execution_count": 20
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-05-14T05:44:19.523859Z",
     "start_time": "2024-05-14T05:44:19.386306Z"
    }
   },
   "cell_type": "code",
   "source": [
    "prediction = model.predict(x_test, verbose=0)\n",
    "x_test.shape, prediction.shape"
   ],
   "id": "75c116b98ad529c1",
   "outputs": [
    {
     "data": {
      "text/plain": "((10000, 28, 28), (10000, 10))"
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "execution_count": 21
  },
  {
   "metadata": {},
   "cell_type": "markdown",
   "source": [
    "For each item of the test set we obtain a vector of size 10 corresponding to the activation function of the output layer. The  output vector represents the probabilities for each digit in one-hot encoding:"
   ],
   "id": "e920bbf4534be1a7"
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-05-14T05:44:19.526598Z",
     "start_time": "2024-05-14T05:44:19.524458Z"
    }
   },
   "cell_type": "code",
   "source": [
    "# Probabilities\n",
    "prediction[0]"
   ],
   "id": "a6df1ae3d42ffc3",
   "outputs": [
    {
     "data": {
      "text/plain": "array([1.1566145e-03, 3.2379087e-03, 2.9267259e-03, 4.6767946e-03,\n       8.7911083e-04, 6.9665693e-04, 7.8489466e-06, 9.8309988e-01,\n       1.9111579e-03, 1.4074601e-03], dtype=float32)"
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "execution_count": 22
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-05-14T05:44:19.528801Z",
     "start_time": "2024-05-14T05:44:19.527140Z"
    }
   },
   "cell_type": "code",
   "source": [
    "prediction[0].sum()      # sum (roughly) to 1"
   ],
   "id": "fada68524e00fc91",
   "outputs": [
    {
     "data": {
      "text/plain": "1.0000002"
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "execution_count": 23
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-05-14T05:44:19.530877Z",
     "start_time": "2024-05-14T05:44:19.529318Z"
    }
   },
   "cell_type": "code",
   "source": [
    "np.argmax(prediction[0]) # highest probability is the prediction"
   ],
   "id": "893864b557185d25",
   "outputs": [
    {
     "data": {
      "text/plain": "7"
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "execution_count": 24
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-05-14T05:44:19.595857Z",
     "start_time": "2024-05-14T05:44:19.531393Z"
    }
   },
   "cell_type": "code",
   "source": [
    "plt.imshow(x_test[0],cmap='Greys'); # image that was classified"
   ],
   "id": "a904c1831c476a77",
   "outputs": [
    {
     "data": {
      "text/plain": "<Figure size 640x480 with 1 Axes>",
      "image/png": "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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "execution_count": 25
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-05-14T05:44:19.598533Z",
     "start_time": "2024-05-14T05:44:19.596503Z"
    }
   },
   "cell_type": "code",
   "source": [
    "y_test[0] # label of the image"
   ],
   "id": "90d527f2f73e9095",
   "outputs": [
    {
     "data": {
      "text/plain": "7"
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "execution_count": 26
  },
  {
   "metadata": {},
   "cell_type": "markdown",
   "source": [
    "We can calculate the percentage of misclassification:"
   ],
   "id": "706fa37be7fe752d"
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-05-14T05:44:19.678597Z",
     "start_time": "2024-05-14T05:44:19.598984Z"
    }
   },
   "cell_type": "code",
   "source": [
    "m = model.evaluate(x_test,y_test_oh, verbose=0)\n",
    "f\"(%) : {(1- m[1])*100:.2f}\""
   ],
   "id": "7301ca81d541a5eb",
   "outputs": [
    {
     "data": {
      "text/plain": "'(%) : 9.99'"
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "execution_count": 27
  },
  {
   "metadata": {},
   "cell_type": "markdown",
   "source": [
    "and one of them is shown below:"
   ],
   "id": "6737cf36f34a215"
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-05-14T05:44:19.752169Z",
     "start_time": "2024-05-14T05:44:19.681889Z"
    }
   },
   "cell_type": "code",
   "source": [
    "plt.imshow(x_test[8].reshape(28,28),cmap='Greys')\n",
    "plt.title(f\"predicted: {np.argmax(prediction[8])},  actual: {y_test[8]}\")"
   ],
   "id": "6be14aac0680868b",
   "outputs": [
    {
     "data": {
      "text/plain": "Text(0.5, 1.0, 'predicted: 5,  actual: 5')"
     },
     "execution_count": 28,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "text/plain": "<Figure size 640x480 with 1 Axes>",
      "image/png": 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HAGAUwQMAMIrgAQAYRfAAAIwieAAARhE8AACjCB4AgFEEDwDAKIIHAGAUwQMAMIrgAQAYRfAAAIwieAAARhE8AACjCB4AgFEEDwDAKIIHAGAUwQMAMIrgAQAYRfAAAIwieAAARhE8AACjCB4AgFEEDwDAKIIHAGAUwQMAMIrgAQAYRfAAAIzy83YDAKqOwsJC2zXnzp2rhE5un8PhUMuWLfXDDz/IsiyXZY0bN3brOVesWGG75sEHH7Rd06ZNG9s1rVq1sl1T1bDHAwAwiuABABhF8AAAjCJ4AABGETwAAKMIHgCAUQQPAMAoggcAYBTBAwAwiuABABhF8AAAjCJ4AABGOawbr6oHoErZs2dPheM+Pj7q0qWL9u3bp9LSUpdl//3f/+3WXJ988ontmgMHDrg1l6cEBQUpLy9PISEhunTpksuyLl26uPWc3377re0ady6w6o6SkhIj81Qm9ngAAEYRPAAAozwaPJ999pnCw8NdbsnJyZ6cAgBQzXn0h+AyMjKUmJio6dOnO8cCAgI8OQUAoJrzaPBkZmYqLCxMzZo18+TTAgBqEI8HT7du3Tz5lECt5+NT8RHxsvGKlrt7pKFBgwa2a4KCgtyay1PK5q+oD3f+nps910+pU6eOW3PVRh47ndqyLEVHR6tnz546cOCASkpKlJSUpOTkZPn7+3tiCgBADeCxPZ7Tp0+roKBA/v7+WrBggU6dOqUZM2aosLBQU6dO9dQ0QK2zb9++Csd9fHwUERGh/fv3l/sez8cff+zWXH//+99t1xw6dMituTwlKChIJ0+e1D333FPuezwRERFuPWdGRobtGlPf48nLyzMyT2XyWPC0bt1aO3bsUMOGDeVwONShQweVlpZqwoQJmjx5snx9fT01FVCr3BgqFS2/8TFFRUVuzXX58mXbNTe+2HvLpUuXyvXizt9T9lx2mQqemsCjp1OHhITI4XA477dr105FRUW6cOGCJ6cBAFRjHguerVu3Ki4uTgUFBc6xQ4cOKSQkRI0bN/bUNACAas5jwRMdHa2AgABNnTpVWVlZ2rx5s+bMmaPhw4d7agoAQA3g0YuEHj16VDNnztSePXvUoEED/fKXv9To0aNdDr8BVdG5c+ds16SlpdmumTlzpu2aHx9F+LGgoCCdP39ejRo1KveZRG269u+tLhJaE9WEi4R69Hs87du316pVqzz5lACAGoaLhAIAjCJ4AABGETwAAKMIHgCAUQQPAMAoggcAYBTBAwAwiuABABhF8AAAjCJ4AABGETwAAKM8eq02oLrKzc21XePtX9YtuxCoZVm14qKg0dHRFY43aNBAkhQZGVnuh98efvjhSu8L9rHHAwAwiuABABhF8AAAjCJ4AABGETwAAKMIHgCAUQQPAMAoggcAYBTBAwAwiuABABhF8AAAjCJ4AABGETwAAKO4OjVsu3Lliu2ad99913ZNjx49Khz38fFRRESE9u/fr9LSUpdlXbp0sT2PJPn52f+n0KhRI9s1QUFBtmsuXbpU4XhgYKAkKSQkpFz/zz77rO15JCkqKsp2Tbdu3WzX3HfffbZrfur/0WeffVZuzN/f3/Y8qHzs8QAAjCJ4AABGETwAAKMIHgCAUQQPAMAoggcAYBTBAwAwiuABABhF8AAAjCJ4AABGETwAAKMIHgCAUVwktBYrLi52qy4pKcl2zZdffmm7ZufOnRWO+/hcf7909erVchcJdVdoaKjtmoyMDNs1ISEhtmsuXLhwy+V79+4tNxYcHGx7HklyOBxu1VUFXBC0+mCPBwBgFMEDADCK4AEAGEXwAACMIngAAEYRPAAAowgeAIBRBA8AwCiCBwBgFMEDADCK4AEAGEXwAACM4iKhNURJSYntmlGjRrk1lzsX/Jw/f77tmi5dutxyeUREhO3n9CR3LvjpjoYNG97RcqCqYY8HAGAUwQMAMMrt4CkuLtbjjz+uHTt2OMdOnjypoUOHKioqSn379tW2bds80iQAoOZwK3iKioo0fvx4HT161DlmWZZGjx6tpk2bav369Xrqqac0ZswYnT592mPNAgCqP9snF2RkZCglJUWWZbmMb9++XSdPntS6detUv359tWvXTl999ZXWr1+vsWPHeqxhAED1Zjt4du7cqbi4OI0bN05RUVHO8b1796pjx46qX7++cywmJkZ79uzxRJ+oBHXr1nWrLigoyHYNP0sMoIzt4Bk0aFCF4zk5OWrevLnLWJMmTXTmzBn3OoMtvr6+tmuWLVvm1lzu1nlanTp1vN0CADd47Hs8BQUF5d7V+vv7q7i42FNT4Bbc+R7PmDFj3Jrrgw8+sF0ze/Zs2zUvvvjiTZfVqVNHV69erXAcQNXmseAJCAhQXl6ey1hxcbHbh3NQ+QoLC92qu3Tpku0a3oAAKOOx7/G0aNFCubm5LmO5ubnlDr8BAGo3jwVPZGSkDhw44PIuevfu3YqMjPTUFACAGsBjwRMbG6uWLVtq8uTJOnr0qJYvX659+/bpmWee8dQUAIAawGOf8fj6+mrp0qV69dVXNXDgQLVp00ZLlixRq1atPDVFrXGrz0NudsLG0qVLbc/z/vvv266Rrh9WtWvkyJG2a37qRAFOJACqpzsKniNHjrjcb9OmjdLT0++oIQBAzcZFQgEARhE8AACjCB4AgFEEDwDAKIIHAGAUwQMAMIrgAQAYRfAAAIwieAAARhE8AACjCB4AgFEEDwDAKIdlWZa3m4CrzZs3Vzju6+ur+Ph4bdu2rdxPXffs2dP2PO3atXOrv6+//tp2TXBwsFtzAah52OMBABhF8AAAjCJ4AABGETwAAKMIHgCAUQQPAMAoggcAYBTBAwAwiuABABhF8AAAjCJ4AABGETwAAKP8vN0Ayvv8888rHA8ICFB8fLw2b96soqKiO56ne/fubtVxwU8Ad4I9HgCAUQQPAMAoggcAYBTBAwAwiuABABhF8AAAjCJ4AABGETwAAKMIHgCAUQQPAMAoggcAYBTBAwAwymFZluXtJuCqZcuWFY4HBgbq6NGjat++vfLz812WnT171vY8devWdau/t956y3bNE088Ybvm7rvvtl0DoOpjjwcAYBTBAwAwiuABABhF8AAAjCJ4AABGETwAAKMIHgCAUQQPAMAoggcAYBTBAwAwiuABABhF8AAAjOIioVWQw+GocDwoKEgXL15UcHCwLl265LLMx6dqv4dwp7+pU6dWOO7v76/Jkydr1qxZKi4udlmWmJjoVn8ZGRm2azp06GC7JjQ01HbNzTgcDjVv3lxnz57Vjf+Ms7Ky3HrOTp062a4JDg52ay7UXlX71QoAUOMQPAAAo9wOnuLiYj3++OPasWOHc2zGjBkKDw93uaWnp3ukUQBAzeDnTlFRUZFSUlJ09OhRl/HMzEylpKRowIABzrHAwMA76xAAUKPY3uPJyMjQf/7nf+rEiRPllmVmZqpjx45q1qyZ81avXj2PNAoAqBls7/Hs3LlTcXFxGjdunKKiopzj+fn5ys7OVtu2bT3YXu0UFBR0y/GKltfEs9r8/f1vOV7Rcl9fX9vzSFKdOnVs17gz183OWHRH2XNV9JzurgfAhDs6nTo8PFzvv/++4uLitHfvXj377LN65plntGXLFoWEhOiFF15wOewGAIBbn/FUJCsrSw6HQ6GhoRo8eLB27dqladOmKTAwUI899pinpqkVbva9iKCgIH3//fdq3bp1rfgez4QJEyoc9/f3V0pKiubOnVvuezzdu3d3qz93vvcSHh5uu8aTRwQcDoeaNWumnJycct/jOX78uFvP+cADD9iu4Xs8sMtjwdO/f38lJiYqJCRE0vUN+Pjx4/rggw8IHptuDJWKlteG4LkxVCpafuNjSkpKbM8jSVevXrVd485clfF9bcuyyj2vu+sBMMFjr1YOh8MZOmVCQ0OVnZ3tqSkAADWAx4Jn4cKFGjp0qMvY4cOHPXqJEABA9eex4ElMTNSuXbu0YsUKnThxQmvXrtXHH3+sYcOGeWoKAEAN4LGz2iRp48aNWrRokY4fP67WrVtr3Lhx6t27t8earS3mzJlT4bi/v79efvllLViwoNxnG5MnTzbRWpUQFBSkvLw8hYSE/OTnYTVZZayHu+66y3ZN//79bdcsWbLEdg1qjjs6ueDIkSMu93v16qVevXrdUUMAgJqtap8KBQCocQgeAIBRBA8AwCiCBwBgFMEDADCK4AEAGEXwAACMIngAAEYRPAAAowgeAIBRBA8AwCiCBwBg1B1dnRqVo7S09KbLfHx8Klx+8uRJ2/M8/vjjtmukn/5l0Iq489PSN1sPXJ36uqqyHhwOh+2aZcuW2a4ZMWKE7RpUTezxAACMIngAAEYRPAAAowgeAIBRBA8AwCiCBwBgFMEDADCK4AEAGEXwAACMIngAAEYRPAAAowgeAIBRft5uAOX5+Nz6/UBFy9u0aWN7nm+++cZ2jbsOHTpku+bq1asVjpf9/du2bSt3IdFXXnnFfnOSPv/8c7fqILlzneHt27fbruEioTUHezwAAKMIHgCAUQQPAMAoggcAYBTBAwAwiuABABhF8AAAjCJ4AABGETwAAKMIHgCAUQQPAMAoggcAYBQXCYURHTp08PhzRkRElBsbNGiQW8/lzkVC/fzs//OZMGGC7ZpRo0ZVOO5wOCRJ+/fvL3ehzrfeesv2PJK0ePFit+oAO9jjAQAYRfAAAIwieAAARhE8AACjCB4AgFEEDwDAKIIHAGAUwQMAMIrgAQAYRfAAAIwieAAARhE8AACjuEgoapRHH33U2FzXrl2zXTNr1izbNd9++22F4/Xq1dPq1av16quvqqCgwGXZhg0bbM9j0j333OPtFuBF7PEAAIwieAAARtkKnuzsbCUnJys2NlYJCQmaNWuWioqKJEknT57U0KFDFRUVpb59+2rbtm2V0jAAoHq77eCxLEvJyckqKCjQmjVrNH/+fG3atEkLFiyQZVkaPXq0mjZtqvXr1+upp57SmDFjdPr06crsHQBQDd32yQVZWVnas2ePvvzySzVt2lSSlJycrN/97nfq3r27Tp48qXXr1ql+/fpq166dvvrqK61fv15jx46ttOYBANXPbQdPs2bN9O677zpDp0x+fr727t2rjh07qn79+s7xmJgY7dmzx2ONArej7Oeg7QoKCvJwJ55Tr169Csfr1q3r8t8fc/fvufEntCtLQECAkXlQNd128AQHByshIcF5v7S0VOnp6eratatycnLUvHlzl8c3adJEZ86c8VynwG24++673arLy8vzbCMGpaWlebsFwBa3v8eTmpqqgwcP6qOPPtJ7770nf39/l+X+/v4qLi6+4wYBO06dOuVWXUREhIc78ZynnnqqwvG6desqLS1No0aNUmFhocuyP//5z27NZWqPZ9KkSbZrJk+eXAmdwBvcCp7U1FStXr1a8+fPV1hYmAICAsq9YywuLq7wEABQmdx94bx06ZKHO/GcG78ceqPCwsJyj3H37zEVPGVnw6J2sv09nunTp2vVqlVKTU1Vnz59JEktWrRQbm6uy+Nyc3PLHX4DAMBW8CxevFjr1q3TvHnz1K9fP+d4ZGSkDhw44LK7v3v3bkVGRnquUwBAjXDbwZOZmamlS5dqxIgRiomJUU5OjvMWGxurli1bavLkyTp69KiWL1+uffv26ZlnnqnM3gEA1ZDDus2DusuXL9fcuXMrXHbkyBF99913evXVV7V37161adNGU6ZMUbdu3TzaLPBTrl696lbduHHjbNcsW7bMrbk8JSgoSHl5eQoJCfHYZ1S+vr62a5577jnbNe6suxtPYEL1ddsnF4wcOVIjR4686fI2bdooPT3dI00BAGouLhIKADCK4AEAGEXwAACMIngAAEYRPAAAowgeAIBRBA8AwCiCBwBgFMEDADCK4AEAGEXwAACMIngAAEa5/dPXQFVUp04dt+p+97vf2a65ePGi7Zp//OMftmt++OEH2zVhYWG2ayRp7Nixtmv+67/+y625UHuxxwMAMIrgAQAYRfAAAIwieAAARhE8AACjCB4AgFEEDwDAKIIHAGAUwQMAMIrgAQAYRfAAAIwieAAARnGRUEBSgwYNbNe8//77tmu++OIL2zWbNm2qcDwgIECSNHHiRBUVFbksmzhxou15JPfWA2AXezwAAKMIHgCAUQQPAMAoggcAYBTBAwAwiuABABhF8AAAjCJ4AABGETwAAKMIHgCAUQQPAMAoggcAYJTDsizL200AAGoP9ngAAEYRPAAAowgeAIBRBA8AwCiCBwBgFMEDADCK4AEAGEXwAACMIngAAEYRPAAAowgeAIBRBA8AwCiCBwBgFMEDADCK4AEAGGU7eLKzs5WcnKzY2FglJCRo1qxZKioqkiTNmDFD4eHhLrf09HSPNw0AqL787DzYsiwlJycrODhYa9as0YULFzRlyhT5+Pho0qRJyszMVEpKigYMGOCsCQwM9HjTAIDqy9YeT1ZWlvbs2aNZs2apffv2euihh5ScnKy//OUvkqTMzEx17NhRzZo1c97q1atXKY0DAKonW8HTrFkzvfvuu2ratKnLeH5+vvLz85Wdna22bdt6sj8AQA1jK3iCg4OVkJDgvF9aWqr09HR17dpVmZmZcjgceuedd9S9e3c9+eST+p//+R+PNwwAqN5sfcZzo9TUVB08eFAfffSRDhw4IIfDodDQUA0ePFi7du3StGnTFBgYqMcee8xT/QIAqjmHZVmWO4WpqalatWqV5s+frz59+siyLF24cEEhISHOx0yfPl3Hjh3TypUrPdUvAKCac+t7PNOnT9eqVauUmpqqPn36SJIcDodL6EhSaGiosrOz77hJAEDNYTt4Fi9erHXr1mnevHnq16+fc3zhwoUaOnSoy2MPHz6s0NDQO24SAFBz2AqezMxMLV26VCNGjFBMTIxycnKct8TERO3atUsrVqzQiRMntHbtWn388ccaNmxYZfUOAKiGbH3Gs3z5cs2dO7fCZUeOHNHGjRu1aNEiHT9+XK1bt9a4cePUu3dvjzULAKj+3D65AAAAd3CRUACAUQQPAMAoggcAYBTBAwAwiuABABhF8AAAjCJ4AABGETwAAKMIHgCAUQQPAMAoggcAYBTBAwAwiuABABhF8AAAjCJ4AABGETwAAKMIHgCAUQQPAMAoggcAYBTBAwAwiuABABhF8AAAjCJ4AABGETwAAKMIHgCAUQQPAMAoggcAYBTBAwAwiuABABhF8AAAjCJ4AABGETwAAKMIHgCAUQQPAMAoggcAYBTBAwAwqsoHT1FRkaZMmaKHHnpI8fHxWrlypbdb8orPPvtM4eHhLrfk5GRvt2VMcXGxHn/8ce3YscM5dvLkSQ0dOlRRUVHq27evtm3b5sUOzahoPcyYMaPctpGenu7FLitPdna2kpOTFRsbq4SEBM2aNUtFRUWSatf2cKv1UB22Bz9vN/BT5syZo/3792v16tU6ffq0Jk2apFatWikpKcnbrRmVkZGhxMRETZ8+3TkWEBDgxY7MKSoqUkpKio4ePeocsyxLo0ePVlhYmNavX6+NGzdqzJgx+tvf/qZWrVp5sdvKU9F6kKTMzEylpKRowIABzrHAwEDT7VU6y7KUnJys4OBgrVmzRhcuXNCUKVPk4+OjiRMn1prt4VbrYdKkSdVje7CqsMuXL1udO3e2tm/f7hxbsmSJNXjwYC925R0pKSnW3Llzvd2GcUePHrWefPJJ64knnrDCwsKc28I///lPKyoqyrp8+bLzsc8//7y1aNEib7VaqW62HizLshISEqytW7d6sTszMjIyrLCwMCsnJ8c59sknn1jx8fG1anu41XqwrOqxPVTpQ22HDx/WtWvXFB0d7RyLiYnR3r17VVpa6sXOzMvMzFTbtm293YZxO3fuVFxcnD788EOX8b1796pjx46qX7++cywmJkZ79uwx3KEZN1sP+fn5ys7OrhXbRrNmzfTuu++qadOmLuP5+fm1anu41XqoLttDlT7UlpOTo0aNGsnf39851rRpUxUVFSkvL0+NGzf2YnfmWJalY8eOadu2bUpLS1NJSYmSkpKUnJzssm5qokGDBlU4npOTo+bNm7uMNWnSRGfOnDHRlnE3Ww+ZmZlyOBx65513tGXLFoWEhOiFF15wOcxSUwQHByshIcF5v7S0VOnp6eratWut2h5utR6qy/ZQpYOnoKCg3Atr2f3i4mJvtOQVp0+fdq6LBQsW6NSpU5oxY4YKCws1depUb7fnFTfbNmrTdiFJWVlZcjgcCg0N1eDBg7Vr1y5NmzZNgYGBeuyxx7zdXqVKTU3VwYMH9dFHH+m9996rtdvDj9fDgQMHqsX2UKWDJyAgoNyGU3a/bt263mjJK1q3bq0dO3aoYcOGcjgc6tChg0pLSzVhwgRNnjxZvr6+3m7RuICAAOXl5bmMFRcX16rtQpL69++vxMREhYSESJIeeOABHT9+XB988EGVeqHxtNTUVK1evVrz589XWFhYrd0eblwP7du3rxbbQ5X+jKdFixY6f/68rl275hzLyclR3bp1FRwc7MXOzAsJCZHD4XDeb9eunYqKinThwgUvduU9LVq0UG5urstYbm5uucMtNZ3D4XC+yJQJDQ1Vdna2dxoyYPr06Vq1apVSU1PVp08fSbVze6hoPVSX7aFKB0+HDh3k5+fn8gHh7t271blzZ/n4VOnWPWrr1q2Ki4tTQUGBc+zQoUMKCQmpNZ9z3SgyMlIHDhxQYWGhc2z37t2KjIz0YlfmLVy4UEOHDnUZO3z4sEJDQ73TUCVbvHix1q1bp3nz5qlfv37O8dq2PdxsPVSX7aFKv3rXq1dP/fv31xtvvKF9+/Zp48aNWrlypYYMGeLt1oyKjo5WQECApk6dqqysLG3evFlz5szR8OHDvd2a18TGxqply5aaPHmyjh49quXLl2vfvn165plnvN2aUYmJidq1a5dWrFihEydOaO3atfr44481bNgwb7fmcZmZmVq6dKlGjBihmJgY5eTkOG+1aXu41XqoNtuDt8/n/ilXrlyxJk6caEVFRVnx8fHWqlWrvN2SV3z77bfW0KFDraioKOuRRx6x3n77bau0tNTbbRl14/dXjh8/bv3qV7+yIiIirH79+llffvmlF7sz58b18Nlnn1lPPPGE1blzZyspKcn63//9Xy92V3nS0tKssLCwCm+WVXu2h59aD9Vhe3BYlmV5O/wAALVHlT7UBgCoeQgeAIBRBA8AwCiCBwBgFMEDADCK4AEAGEXwAACMIngAAEYRPAAAowgeAIBRBA8AwKj/B3GYKuJmp4QJAAAAAElFTkSuQmCC"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "execution_count": 28
  },
  {
   "metadata": {},
   "cell_type": "markdown",
   "source": [
    "__Exercise__\n",
    "\n",
    "Find the indexes of the all misclassified items of the test set."
   ],
   "id": "ced196a427e0a5d"
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}