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@mavaras
Created July 30, 2021 16:19
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{
"nbformat": 4,
"nbformat_minor": 0,
"metadata": {
"colab": {
"name": "Final_Actividad8_v2 (1).ipynb",
"provenance": [],
"collapsed_sections": []
},
"kernelspec": {
"display_name": "Python 3",
"name": "python3"
}
},
"cells": [
{
"cell_type": "markdown",
"metadata": {
"id": "hxW2koXgRHdc"
},
"source": [
"###Actividad 08: optimización y redes neuronales###\n",
"\n",
"\n",
"**Juan Manuel Mejia Taborda**\n",
"\n",
"**Yubar Daniel Marín Benjumea**\n",
"\n",
"**Jaime Alberto Henao Acevedo**\n",
"\n",
"**Mario Varas González**\n"
]
},
{
"cell_type": "code",
"metadata": {
"id": "0trJmd6DjqBZ"
},
"source": [
"import tensorflow as tf"
],
"execution_count": null,
"outputs": []
},
{
"cell_type": "markdown",
"metadata": {
"id": "7NAbSZiaoJ4z"
},
"source": [
"Load and prepare the [MNIST dataset](http://yann.lecun.com/exdb/mnist/). Convert the samples from integers to floating-point numbers:"
]
},
{
"cell_type": "code",
"metadata": {
"id": "7FP5258xjs-v",
"colab": {
"base_uri": "https://localhost:8080/"
},
"outputId": "01998452-dd40-480a-8d77-d9551e99baa2"
},
"source": [
"mnist = tf.keras.datasets.mnist\n",
"\n",
"(x_train, y_train), (x_test, y_test) = mnist.load_data()\n",
"x_train, x_test = x_train / 255.0, x_test / 255.0"
],
"execution_count": null,
"outputs": [
{
"output_type": "stream",
"text": [
"Downloading data from https://storage.googleapis.com/tensorflow/tf-keras-datasets/mnist.npz\n",
"11493376/11490434 [==============================] - 0s 0us/step\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "BPZ68wASog_I"
},
"source": [
"Build the `tf.keras.Sequential` model by stacking layers. Choose an optimizer and loss function for training:"
]
},
{
"cell_type": "code",
"metadata": {
"id": "h3IKyzTCDNGo"
},
"source": [
"model = tf.keras.models.Sequential([\n",
" tf.keras.layers.Flatten(input_shape=(28, 28)),\n",
" tf.keras.layers.Dense(128, activation='relu'),\n",
" tf.keras.layers.Dropout(0.2),\n",
" tf.keras.layers.Dense(10)\n",
"])"
],
"execution_count": null,
"outputs": []
},
{
"cell_type": "markdown",
"metadata": {
"id": "l2hiez2eIUz8"
},
"source": [
"For each example the model returns a vector of \"[logits](https://developers.google.com/machine-learning/glossary#logits)\" or \"[log-odds](https://developers.google.com/machine-learning/glossary#log-odds)\" scores, one for each class."
]
},
{
"cell_type": "code",
"metadata": {
"id": "OeOrNdnkEEcR",
"colab": {
"base_uri": "https://localhost:8080/"
},
"outputId": "24419847-7413-4c9c-ec93-deeb16690b4e"
},
"source": [
"predictions = model(x_train[:1]).numpy()\n",
"predictions"
],
"execution_count": null,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"array([[ 0.5899092 , -0.19148132, -0.03843825, 0.45854992, -0.45659795,\n",
" -0.14446348, -0.33398187, 0.06259366, -0.7305367 , -0.12469257]],\n",
" dtype=float32)"
]
},
"metadata": {
"tags": []
},
"execution_count": 4
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "tgjhDQGcIniO"
},
"source": [
"The `tf.nn.softmax` function converts these logits to \"probabilities\" for each class: "
]
},
{
"cell_type": "code",
"metadata": {
"id": "zWSRnQ0WI5eq",
"colab": {
"base_uri": "https://localhost:8080/"
},
"outputId": "aefc0401-54b9-42b4-c1a6-21f435faf694"
},
"source": [
"tf.nn.softmax(predictions).numpy()"
],
"execution_count": null,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"array([[0.1837332 , 0.08410736, 0.09801665, 0.16111612, 0.06452014,\n",
" 0.08815636, 0.07293682, 0.10843696, 0.04905974, 0.08991663]],\n",
" dtype=float32)"
]
},
"metadata": {
"tags": []
},
"execution_count": 5
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "he5u_okAYS4a"
},
"source": [
"Note: It is possible to bake this `tf.nn.softmax` in as the activation function for the last layer of the network. While this can make the model output more directly interpretable, this approach is discouraged as it's impossible to\n",
"provide an exact and numerically stable loss calculation for all models when using a softmax output. "
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "hQyugpgRIyrA"
},
"source": [
"The `losses.SparseCategoricalCrossentropy` loss takes a vector of logits and a `True` index and returns a scalar loss for each example."
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "2jLG9jo-LSGb"
},
"source": [
"1. Categorical Crossentropy formula\n",
"![cce.png](data:image/png;base64,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)"
]
},
{
"cell_type": "code",
"metadata": {
"id": "RSkzdv8MD0tT"
},
"source": [
"loss_fn = tf.keras.losses.SparseCategoricalCrossentropy(from_logits=True)"
],
"execution_count": null,
"outputs": []
},
{
"cell_type": "markdown",
"metadata": {
"id": "SfR4MsSDU880"
},
"source": [
"This loss is equal to the negative log probability of the true class:\n",
"It is zero if the model is sure of the correct class.\n",
"\n",
"This untrained model gives probabilities close to random (1/10 for each class), so the initial loss should be close to `-tf.math.log(1/10) ~= 2.3`."
]
},
{
"cell_type": "code",
"metadata": {
"id": "NJWqEVrrJ7ZB",
"colab": {
"base_uri": "https://localhost:8080/"
},
"outputId": "abb7ade1-2db6-45a1-f16a-2cd4d0392f7a"
},
"source": [
"loss_fn(y_train[:1], predictions).numpy()"
],
"execution_count": null,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"2.4286432"
]
},
"metadata": {
"tags": []
},
"execution_count": 7
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "9foNKHzTD2Vo"
},
"source": [
"model.compile(optimizer='adam',\n",
" loss=loss_fn,\n",
" metrics=['accuracy'])"
],
"execution_count": null,
"outputs": []
},
{
"cell_type": "markdown",
"metadata": {
"id": "ix4mEL65on-w"
},
"source": [
"The `Model.fit` method adjusts the model parameters to minimize the loss: "
]
},
{
"cell_type": "code",
"metadata": {
"id": "y7suUbJXVLqP",
"colab": {
"base_uri": "https://localhost:8080/"
},
"outputId": "c2f409ce-27d8-4abe-a28c-8a37d2a63ba5"
},
"source": [
"model.fit(x_train, y_train, epochs=5)"
],
"execution_count": null,
"outputs": [
{
"output_type": "stream",
"text": [
"Epoch 1/5\n",
"1875/1875 [==============================] - 4s 2ms/step - loss: 0.2946 - accuracy: 0.9153\n",
"Epoch 2/5\n",
"1875/1875 [==============================] - 3s 2ms/step - loss: 0.1446 - accuracy: 0.9572\n",
"Epoch 3/5\n",
"1875/1875 [==============================] - 3s 2ms/step - loss: 0.1071 - accuracy: 0.9678\n",
"Epoch 4/5\n",
"1875/1875 [==============================] - 3s 2ms/step - loss: 0.0872 - accuracy: 0.9731\n",
"Epoch 5/5\n",
"1875/1875 [==============================] - 3s 2ms/step - loss: 0.0733 - accuracy: 0.9767\n"
],
"name": "stdout"
},
{
"output_type": "execute_result",
"data": {
"text/plain": [
"<tensorflow.python.keras.callbacks.History at 0x7ff6f98a95d0>"
]
},
"metadata": {
"tags": []
},
"execution_count": 9
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "4mDAAPFqVVgn"
},
"source": [
"The `Model.evaluate` method checks the models performance, usually on a \"[Validation-set](https://developers.google.com/machine-learning/glossary#validation-set)\" or \"[Test-set](https://developers.google.com/machine-learning/glossary#test-set)\"."
]
},
{
"cell_type": "code",
"metadata": {
"id": "F7dTAzgHDUh7",
"colab": {
"base_uri": "https://localhost:8080/"
},
"outputId": "9fcd8ddb-ccdc-491d-b579-c3be2806e50f"
},
"source": [
"model.evaluate(x_test, y_test, verbose=2)"
],
"execution_count": null,
"outputs": [
{
"output_type": "stream",
"text": [
"313/313 - 0s - loss: 0.0782 - accuracy: 0.9758\n"
],
"name": "stdout"
},
{
"output_type": "execute_result",
"data": {
"text/plain": [
"[0.07817542552947998, 0.9757999777793884]"
]
},
"metadata": {
"tags": []
},
"execution_count": 10
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "T4JfEh7kvx6m"
},
"source": [
"The image classifier is now trained to ~98% accuracy on this dataset. To learn more, read the [TensorFlow tutorials](https://www.tensorflow.org/tutorials/)."
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "Aj8NrlzlJqDG"
},
"source": [
"If you want your model to return a probability, you can wrap the trained model, and attach the softmax to it:"
]
},
{
"cell_type": "code",
"metadata": {
"id": "rYb6DrEH0GMv"
},
"source": [
"probability_model = tf.keras.Sequential([\n",
" model,\n",
" tf.keras.layers.Softmax()\n",
"])"
],
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "cnqOZtUp1YR_",
"colab": {
"base_uri": "https://localhost:8080/"
},
"outputId": "8833d44e-1e77-497b-8c19-cd15dbaebc79"
},
"source": [
"probability_model(x_test[:5])"
],
"execution_count": null,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"<tf.Tensor: shape=(5, 10), dtype=float32, numpy=\n",
"array([[2.56127244e-08, 1.75758174e-07, 3.75555351e-06, 1.79551716e-04,\n",
" 8.08038358e-12, 2.47899993e-06, 5.05003808e-13, 9.99811590e-01,\n",
" 1.20463667e-07, 2.37824042e-06],\n",
" [1.24102666e-08, 1.28487387e-04, 9.99869108e-01, 2.01700550e-06,\n",
" 7.11975397e-17, 3.98727138e-07, 3.23388925e-08, 8.38945721e-13,\n",
" 1.52620654e-08, 6.81074205e-16],\n",
" [9.43348866e-08, 9.99589741e-01, 1.60956988e-04, 1.39088452e-05,\n",
" 1.80277111e-05, 1.41278451e-06, 7.78682806e-06, 1.08477529e-04,\n",
" 9.93476933e-05, 2.56744471e-07],\n",
" [9.99878526e-01, 1.11391820e-08, 6.31603034e-05, 1.50993031e-07,\n",
" 1.04133484e-07, 1.05998242e-05, 4.48566134e-05, 1.36367862e-06,\n",
" 1.56159871e-07, 1.01556509e-06],\n",
" [8.21566664e-06, 3.36576882e-08, 6.73663362e-06, 1.38295366e-08,\n",
" 9.97636914e-01, 2.02119907e-07, 4.11321753e-06, 2.18574511e-04,\n",
" 6.54677166e-08, 2.12513283e-03]], dtype=float32)>"
]
},
"metadata": {
"tags": []
},
"execution_count": 12
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "E8OTYppGLSi3"
},
"source": [
"# 1.\n",
"El entrenamiento con un alto volúmen de imágenes tiene a producir buenos resultados independiente del optimizador. Cambie el método de optimización por\n",
"* SGD\n",
"* RSMprop\n",
"* Adagram\n",
"* Adadelta \n",
"\n",
"En cada caso varíe la tasa de aprendizaje \\(\\eta=0.001,0.1,0.5,0.9,1.5\\) manteniendo los otros parámetros del optimizador en sus valores por defecto. Reporte el accuracy en el conjunto de datos en entrenamiento y validación (los 10,000 datos). Reporte las gráficas de la función de pérdida y del accuracy durante el proceso de optimización."
]
},
{
"cell_type": "code",
"metadata": {
"id": "z_XO4yLhLnjm"
},
"source": [
"import tensorflow as tf\n",
"import matplotlib.pyplot as plt\n",
"\n",
"\n",
"mnist = tf.keras.datasets.mnist\n",
"\n",
"(x_train, y_train), (x_test, y_test) = mnist.load_data()\n",
"x_train, x_test = x_train / 255.0, x_test / 255.0"
],
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "dv0vw6Mi_yKq"
},
"source": [
"def _plot_graphics(history):\n",
" plt.figure(figsize=(10,5))\n",
" plt.subplot(1,2,1)\n",
" plt.title(\"Loss vs epoch\")\n",
" plt.xlabel('Epoch')\n",
" plt.ylabel('Loss')\n",
" plt.grid(True)\n",
" plt.plot(history.history['loss'])\n",
" plt.subplot(1,2,2)\n",
" plt.title(\"Accuracy vs epoch\")\n",
" plt.xlabel('Epoch')\n",
" plt.ylabel('Accuracy')\n",
" plt.grid(True)\n",
" plt.plot(history.history['accuracy'])\n",
" plt.show()"
],
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "E3zPHFg_Mydr"
},
"source": [
"model = tf.keras.models.Sequential([\n",
" tf.keras.layers.Flatten(input_shape=(28, 28)),\n",
" tf.keras.layers.Dense(128, activation='relu'),\n",
" tf.keras.layers.Dropout(0.2),\n",
" tf.keras.layers.Dense(10),\n",
"])"
],
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "oSAvXzQWMzCa",
"colab": {
"base_uri": "https://localhost:8080/"
},
"outputId": "6b6ef798-6e5b-4895-e653-b0f34207e4bf"
},
"source": [
"predictions = model(x_train[:1]).numpy()\n",
"tf.nn.softmax(predictions).numpy()"
],
"execution_count": null,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"array([[0.1403234 , 0.05112251, 0.11982872, 0.04460149, 0.14042777,\n",
" 0.14719044, 0.0694763 , 0.08089457, 0.08968861, 0.11644614]],\n",
" dtype=float32)"
]
},
"metadata": {
"tags": []
},
"execution_count": 16
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "kTZ7bgu7MzHs",
"colab": {
"base_uri": "https://localhost:8080/"
},
"outputId": "012fb02b-1210-4daa-d09a-e7bb0fd7c112"
},
"source": [
"loss_fn = tf.keras.losses.SparseCategoricalCrossentropy(from_logits=True)\n",
"loss_fn(y_train[:1], predictions).numpy()"
],
"execution_count": null,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"1.916028"
]
},
"metadata": {
"tags": []
},
"execution_count": 17
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "bY8MXTsdPCCF"
},
"source": [
"###Gradiente de gradiente estocástico SGD###\n",
"\n",
"Gradiente de gradiente estocástico (SGD) es el algoritmo de optimización más simple utilizado para encontrar parámetros que minimizan la función de costo dada. Aparentemente, para que el descenso del gradiente converja al mínimo óptimo, la función de costo debe ser convexa . "
]
},
{
"cell_type": "code",
"metadata": {
"id": "owxODasJMzN1"
},
"source": [
"# SGD, lr = 0.001\n",
"optimizer = tf.keras.optimizers.SGD(learning_rate=0.001)\n",
"model.compile(\n",
" optimizer=optimizer,\n",
" loss=loss_fn,\n",
" metrics=['accuracy'],\n",
")"
],
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "WnUO4r4XMzSj",
"colab": {
"base_uri": "https://localhost:8080/"
},
"outputId": "ba0379c7-aa37-4c38-a18b-bb8b39abf4d7"
},
"source": [
"history = model.fit(x_train, y_train, epochs=5)"
],
"execution_count": null,
"outputs": [
{
"output_type": "stream",
"text": [
"Epoch 1/5\n",
"1875/1875 [==============================] - 4s 2ms/step - loss: 1.7410 - accuracy: 0.5184\n",
"Epoch 2/5\n",
"1875/1875 [==============================] - 3s 2ms/step - loss: 1.0355 - accuracy: 0.7500\n",
"Epoch 3/5\n",
"1875/1875 [==============================] - 3s 2ms/step - loss: 0.7733 - accuracy: 0.7984\n",
"Epoch 4/5\n",
"1875/1875 [==============================] - 3s 2ms/step - loss: 0.6534 - accuracy: 0.8237\n",
"Epoch 5/5\n",
"1875/1875 [==============================] - 3s 2ms/step - loss: 0.5834 - accuracy: 0.8402\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "fqBEd3uYNFdn",
"colab": {
"base_uri": "https://localhost:8080/"
},
"outputId": "851408e7-2d7f-413f-e019-ef98edeef9ee"
},
"source": [
"model.evaluate(x_test, y_test, verbose=2)"
],
"execution_count": null,
"outputs": [
{
"output_type": "stream",
"text": [
"313/313 - 0s - loss: 0.4747 - accuracy: 0.8788\n"
],
"name": "stdout"
},
{
"output_type": "execute_result",
"data": {
"text/plain": [
"[0.47467485070228577, 0.8787999749183655]"
]
},
"metadata": {
"tags": []
},
"execution_count": 26
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "viQpMdUd-Nzu",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 350
},
"outputId": "c7c89a45-74d4-4c8b-fdbc-8f9116f13f7d"
},
"source": [
"_plot_graphics(history)"
],
"execution_count": null,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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y9bi+PLy4mH0Hq+nSPr3xnURERCQmDlbV8GbxPpYX72HZ5r2sKN7DzsoqANqlpzI2vws3nTvovaKrV6fMkBPHRlIUYQDTC/L548LNPP1mKddNGhB2HBERkaTg7ryz88D7zlhcV15B0MnFoJ4dOHdor/cmzw/L7kRaavz3cjVF0hRho3O7MLJPZ+YsKVERJiIiEiMVh6tZWXx0LlfkrMW9B6sB6JiZxrj8rtxy/mDG9+vGuPyudOuQEXLi8CRNEQYwoyCPe/6xhjVbKxjZt3PYcUREROJeXZ2zdMsenl1ZxvMrD7J1wXN40Ms1pHdHLh2Zw/h+kWHFwb07kqqrFLwnqYqwq8bl8j9z1/HY0mLu7jsq7DgiIiJxqa7OWV68l2dXljF3VRnlFYfJSEthaNcUZpx5CuP7dWVsfle6tNMc7ONJqiKsW4cMLh6VzZPLS7lj6nAy09r29UNERETaCnfnzZJ9PLtyK8+uLGPrvsNkpKZw7tBe3DltOBeOyGbJwleZPHlI2FHjRlIVYRC5ZtizK8v459rtTBvTJ+w4IiIibZa7U1RawTOrIoVXyZ5DpKca5wzpxVcvHcZFI7PpnKXerhOVdEXY2YN70qdLFnOWFKsIExERqcfdWVNWwbMry3h2VRmbdx0kLcU4a3BPvnThEC4ZmaNLPbWQpCvCUlOMj07I4/6XNlC27xB9urQLO5KIiEio3J23tu2PFF4ry9i08wCpKcaHTunB/3feKVw6Kiepz2KMlaQrwgA+OiGPn7+4gb8tK+UL5w8OO46IiEgo1m/bzz9WlvHsyq1s3HGAFIMzB/XghnMGMmVUDj06JuZFUtuKpCzC+vfowJmDujNnSTGfn3xKm7qjuoiISCxt3FHJsyvLeGblVt7eVokZTBzQnU+fFSm8EvXq9G1RUhZhEJmg/+U5b/LGO7s5Y1CPsOOIiIjEzLs7D/DsqjL+8eZW1pXvB+D0Ad349pWjmDo6h96d4+/m14kgaYuwqaP7cNdTq5mzpERFmIiIJJwtuw7y7KpIj9fqrRUAnNavK3ddPpJpY/qQ00WFV9iStghrl5HKFWP78uTyUu65ciSddIqtiIjEuZI9B5m7qoxnVpaxsmQfAGPzu/Kty0YwdUwfcrvqZLS2JGmLMIjcxujhN7bw7MoyZk7sF3YcERGRZtu699B7hdeK4r0AjMntwp1ThzNtTB/yu7cPOaEcS1IXYePyuzKkd0fmLClWESYiInFjW8Xh967jtXTzHgBG9e3M16YM47Ixfejfo0PICaUpkroIMzNmFOTzvblr2bB9P4N7dwo7koiISIO27z/MvFXlPLuyjMWbd+MOw3M68dVLhjJtTB8G9eoYdkRppqQuwgCuHp/LD+av47ElJdw5bUTYcURERN6zs/II84rKeXblVl5/J1J4DendkdsuHMplp+ao8yDOxawIM7MHgMuB7e4++hjbTAZ+CqQDO939vFjlOZZenTK5YHhvnlhWylcvHUZ6akprRxCREJnZFOA+IBX4nbt/v976fsAfga7BNne4+9xg3Z3ADUAt8EV3X9Ca2SUx7T5Qxfyicp5dtZWFG3dR5zCoVwduvWAIl5/ah6HZKrwSRSx7wh4EfgH8qaGVZtYV+CUwxd23mFnvGGY5rhkF+Ty3ZhuFb+3g4pHZYcUQkVZmZqnA/cDFQAmw2Myedvc1UZt9C5jj7r8ys5HAXGBA8HwmMAroC7xgZkPdvbZ1WyGJYO/BKhasLueZlWW8tnEXtXXOgB7t+fzkwVx2ah+G53TShcUTUMyKMHd/xcwGHGeTjwN/c/ctwfbbY5WlMZOH9aJXp0zmLClWESaSXCYCG9x9E4CZPQJcBUQXYQ50Dp53AbYGz68CHnH3I8A7ZrYheL+FrRFc4t++Q9U8t7qcZ1eV8er6ndTUOfnd2zHr3EFcNqYPo/p2VuGV4MKcEzYUSDezQqATcJ+7H6vXbBYwCyA7O5vCwsImf0hlZWWTtj+9Zx3z127jyQUv0jUzvoYkm9rGeKd2Jo421MZcoDjqdQlwRr1t7gGeM7NbgQ7ARVH7Lqq3b25sYkqi2H+4mufXbOPZlWW8sn4H1bVObtd23HD2QC47tQ9jcruo8EoiYRZhacAE4EKgHbDQzBa5+9v1N3T32cBsgIKCAp88eXKTP6SwsJCmbJ83spK5P3mZ7e36c/W5pzT5/duCprYx3qmdiSPO2ngt8KC7/9jMJgF/NrMG57key4l+kWxDxWpMJXo7a+qcVzcf4L5l81m1s5aaOuieZVyQn8rEnDQGdTHMtrF7wzZe3hB22pOT6P+WR7VUO8MswkqAXe5+ADhgZq8AY4EPFGGtYXDvjkzo3405S0q46ZxB+iYikhxKgfyo13nBsmg3AFMA3H2hmWUBPZu4L8F+J/RFMs6K1ROWyO1cUbyXO55YybpyI7tzGtdNyufyU/swPr8bKSmJ93cmkf8to7VUO8Mcd3sKONvM0sysPZEhgLUh5mFGQR4btleyPLjisIgkvMXAEDMbaGYZRCbaP11vmy1EeuwxsxFAFrAj2G6mmWWa2UBgCPBGqyWXNu1gVQ3feWYNH/nlv9lzsIpbx2ey8I4LufuKUUzo3z0hCzBpvpgVYWb2MJEJqsPMrMTMbjCzm83sZgB3XwvMB1YSOXD9zt2LYpWnKS47tS/t0lN5bElx4xuLSNxz9xrgFmABkS+Bc9x9tZnda2ZXBpt9BbjJzN4EHgY+7RGrgTlEJvHPB76gMyMF4F/rd3DpT1/h96++w7UT+/H8l89jQnaaCi/5gFieHXltE7b5EfCjWGVoro6ZaVx2ah/+8WYZ/335SNpnJP21bEUSXnDNr7n1lt0V9XwNcNYx9v0e8L2YBpS4sfdgFd95Zi1PLCthUM8OPDrrTM4Y1CPsWNKGxddpgK1gRkE+lUdqmLeqPOwoIiISB9ydZ1Zu5aKfvMyTK0r5/ORTmPulc1SASaPU1VPP6QO6MaBHe+YsKeaaCXlhxxERkTasfN9hvvVkES+s3cbo3M788bMTGdW3S9ixJE6oCKvHzJhekM+PFrzFuzsPMKCn7kQvIiLvV1fnPLx4C9+fu47qujq+MW04nz1rIGm69Z00g/5vacA1p+WRYvD40pKwo4iISBuzaUclM3+7iG/+vYgxeV1YcNu5zDr3FBVg0mzqCWtATpcszhvai8eXlnD7xUNJ1RktIiJJr7q2jt/+axM/fWE9mWkp/OCaMcwoyNd1JeWEqWw/hhkF+ZRXHOZf63eEHUVEREK2qmQfV/3i3/xw/ltcOLw3//zyeXzs9H4qwOSkqCfsGC4ckU33Dhk8tqSEycN6hx1HRERCcKiqlp++8Da/e/UdunfI4NefnMCU0Tlhx5IEoSLsGDLSUrh6XC5/XvQuuw9U0b1DRtiRRESkFb22cSd3/m0Vm3cdZObp+dw5bQRd2qWHHUsSiIYjj2PG6XlU1zpPrWjwdnAiIpKA9h2q5o4nVvLx374OwEM3ncH3rzlVBZi0OPWEHcfwnM6cmteFRxcX8+kPDdDYv4hIgptfVMZ/P7Wa3Qeq+Nx5g7jtwqG0y0gNO5YkKPWENWJ6QT7ryvezemtF2FFERCRGtlcc5uY/L+XmvyyjV8dMnvrCWdw5dYQKMIkpFWGNuHJsXzLTUpijm3qLiCQcd+fRxVu46Ccv8+Jb2/nalGE8dctZjM7VVe8l9jQc2Ygu7dKZMjqHJ5eX8o1pI8hK17ciEZFE8O7OA9z5t1Us3LSLiQO78/2PjGFQr45hx5Ikop6wJphRkE/F4RqeW7Mt7CgiInKSamrr+M3LG5ly3ysUle7jfz48hkduOlMFmLQ69YQ1waRBPcjt2o7HlhRz5di+YccREZETtHrrPu54YhWrSvdx8chsvnPVaHK6ZIUdS5KUirAmSEkxphfkcd8/11Oy5yB53dqHHUlERJrhcHUtP/vnen7zyia6tU/n/o+fxrQxOTrrXUKl4cgm+uiEPACeWKprhomIxJPXN+1i2n3/4peFG/nw+Fxe+PJ5XHZqHxVgEjoVYU2U1609Z53Sk8eWFlNX52HHERGRRlQcruabf1/Fx2Yvoqq2jj/fMJH/nT6Wru11BxRpG1SENcP0gjxK9hxi0aZdYUcREZHjeH7NNi75ySs8/MYWbjx7IM/dfi7nDOkVdiyR99GcsGa4dFQOnbPSmLOkmA8N7hl2HBERqWfH/iPc84/VPLuyjOE5nfj1dRMYl9817FgiDVIR1gxZ6alcNS6XOUuK+fahat1HTESkjXB3nlhWyneeWcOhqlq+cvFQPnfeKWSkacBH2i7939lMMwryOVJTxz/e3Bp2FBERAYp3H+RTD7zBVx97kyG9OzL3S2dz64VDVIBJm6eesGYanduZ4TmdeGxJMZ88s3/YcUREklZtnfOHf7/Dj597mxSD71w1ik+c0Z+UFJ31KPFBRVgzmRkzCvK595k1rCuvYHhO57AjiYgknXXlFXz9iVW8WbyXC4b35rtXj6Zv13ZhxxJpFvXVnoCrx+eSnmo8tqQk7CgiIknlSE0tP3nuLS7/2asU7z7IfTPH8fvrC1SASVxST9gJ6N4hg4tHZvP35aV8fcpwzTsQEWkFSzfv5utPrGLD9ko+PD6X/758JN076JpfEr9UPZyg6QX57D5QxYvrdFNvEZFYqjxSw91PFfHRXy/kUFUtD37mdP7vY+NUgEncU0/YCTp3SC9yOmcxZ0kJU0b3CTuOiEhCemnddr7591WUVRzm+kkD+Oqlw+iYqT9dkhj0f/IJSk0xrpmQy68KN7Kt4jDZnbPCjiQikjB2VR7h3mfW8NSKrQzp3ZHHb/4QE/p3CzuWSIvScORJmD4hnzqHJ5Zpgr6ISEtwd55cXspFP3mZuavK+NKFQ3jmi2erAJOEpCLsJAzo2YGJA7vz2JIS3HVTb5F4ZGZTzOwtM9tgZnc0sP7/zGxF8HjbzPZGrauNWvd06yZPPCV7DvKZBxdz26MrGNCzA89+8Rxuv3gomWmpYUcTiQkNR56kGQX5fPWxN1myeQ+nD+gedhwRaQYzSwXuBy4GSoDFZva0u685uo273x61/a3A+Ki3OOTu41orb6Kqc+fBf7/DDxe8BcDdV4zkU5MGkKqLrkqCU0/YSZo2JocOGanMWVwcdhQRab6JwAZ33+TuVcAjwFXH2f5a4OFWSZYk1m/bz/+8fph7/rGGggHdWXDbuXzmrIEqwCQpxKwIM7MHzGy7mRU1st3pZlZjZh+NVZZYap+RxhVj+/LsqjIqj9SEHUdEmicXiP4GVRIs+wAz6w8MBF6MWpxlZkvMbJGZXR27mImp8kgNH/nVa5QdqOMnM8byx8+cTn739mHHEmk1sRyOfBD4BfCnY20QDAX8AHguhjlibnpBPo8sLmbuyjJmnJ4fdhwRiY2ZwOPuXhu1rL+7l5rZIOBFM1vl7hvr72hms4BZANnZ2RQWFjbpAysrK5u8bTxaVFbD/sM13DbG6V6xgZdf3hB2pJhJ9H/Lo9TO5olZEebur5jZgEY2uxV4Ajg9Vjlaw2n9unJKrw7MWVKsIkwkvpQC0b+0ecGyhswEvhC9wN1Lg/9uMrNCIvPFPlCEuftsYDZAQUGBT548uUnhCgsLaeq28WjOX5fSq9MeTu2bmtDthMT/tzxK7Wye0OaEmVku8GHgV2FlaClHb+q9ZPMeNu6oDDuOiDTdYmCImQ00swwihdYHznI0s+FAN2Bh1LJuZpYZPO8JnAWsqb+vNOxQVS0vrdvBpaOySTHN/5LkFObZkT8Fvu7uddbIL+CJduVD63WNZh+pI8Xgx397jRnDWvdWGur+TSzJ0M620kZ3rzGzW4AFQCrwgLuvNrN7gSXufrQgmwk84u+/Fs0I4DdmVkfkC+33o8+qlON7+e0dHKquZeroPlSX7Ao7jkgowizCCoBHggKsJzDNzGrc/cn6G55oVz60btfoM+VLWFyyl5/deC5pqa3Xyaju38SSDO1sS21097nA3HrL7qr3+p4G9nsNGBPTcAlsflEZ3dqnc8bA7ryq611LkgptONLdB7r7AHcfADwOfL6hAiyezCjIY8f+I7z89o6wo4iItFlHamr559rtXDwyu1W/sIq0NbG8RMXDROZPDDOzEjO7wcxuNrObY8qyRC4AACAASURBVPWZYTt/eG96dsxgzhJdM0xE5Fhe27CL/UdqmDq6T9hRREIVy7Mjr23Gtp+OVY7WlJ6awkdOy+OBV99hZ+URenbMDDuSiEibM6+ojE6ZaXxocI+wo4iESv3ALWz6hDxq6iI3oBURkferqa3j+TXbuHBEb90TUpKeirAWNiS7E+P7deXRxcW6qbeISD2vv7ObPQermaKhSBEVYbEwoyCf9dsrebNkX9hRRETalHlFZbRLT+W8ob3CjiISOhVhMXD5qX3ISk/RBH0RkSh1dc6C1duYPKwX7TI0FCmiIiwGOmWlM21MH/6xYiuHqmob30FEJAks3bKHHfuPMGV0TthRRNoEFWExMqMgn/1Hapi/uizsKCIibcK8VeVkpKZwwfDeYUcRaRNUhMXIGQO7079He+Ys1qWgRUTcnQWryzlnSE86ZaWHHUekTVARFiNmxvQJeSzctIstuw6GHUdEJFQrS/ZRuveQhiJFoqgIi6FrJuRhBo8v1QR9EUlu84rKSUsxLh6ZHXYUkTZDRVgM9enSjnOH9OLxpSXU1umaYSKSnNyd+UVlTDqlB13bZ4QdR6TNUBEWYzMK8tm67zD/3rAz7CgiIqFYV76fd3cd1FCkSD0qwmLsopG96do+XdcME5GkNa+oHDO4ZKSKMJFoKsJiLDMtlavH5fLc6m3sPVgVdhwRkVY3v6iM0wd0p1enzLCjiLQpKsJawYyCfKpq63hqxdawo4iItKqNOyp5e1slUzUUKfIBKsJawci+nRmd21lDkiKSdOYXlQNoPphIA1SEtZIZBfms3lpBUalu6i0iyWNeURnj8rvSp0u7sKOItDkqwlrJlWP7kpGWwuNLdQV9EUkOxbsPUlRaoaFIkWNQEdZKurbP4NJROfx9eSmHq3VTbxFJfEeHIqeO7hNyEpG2SUVYK5pRkMe+Q9W8sHZb2FFERGJuXlEZI/t0pl+P9mFHEWmTVIS1og+d0pPcru2Ys0RDkiKS2Mr3HWbZlr0aihQ5DhVhrSg1xbhmQh7/Wr+DrXsPhR1HRCRmFqwOhiLHqAgTORYVYa1s+oQ83OEJTdAXkQQ2r6iMwb07Mrh3p7CjiLRZKsJaWX739nzolB48trSEOt3UW0QS0K7KI7zxzm4NRYo0QkVYCGYU5LNl90Fef2d32FFERFrcc2u2Uee6QKtIY1SEhWDK6Bw6ZaXxmK6gLyIJaF5ROf26t2dkn85hRxFp01SEhSArPZUrx/ZlblEZFYerw44jEvfM7Aoz0/GsDdh3sJrXNuxk6ugczCzsOCJtmg5aIZlekM/h6jqeebMs7CgiieBjwHoz+6GZDW/OjmY2xczeMrMNZnZHA+v/z8xWBI+3zWxv1LrrzWx98Li+BdoR915Yu42aOtdQpEgTqAgLydi8LgzN7qibeou0AHf/JDAe2Ag8aGYLzWyWmR331DwzSwXuB6YCI4FrzWxkvfe+3d3Hufs44OfA34J9uwN3A2cAE4G7zaxbCzct7swrKqdPlyzG5nUNO4pIm6ciLCRmxoyCfFYU7+XtbfvDjiMS99y9AngceAToA3wYWGZmtx5nt4nABnff5O5Vwb5XHWf7a4GHg+eXAs+7+2533wM8D0w5yWbEtcojNbyyfgeXjsohJUVDkSKNUREWoqvH55KWYpqgL3KSzOxKM/s7UAikAxPdfSowFvjKcXbNBaJ/AUuCZQ19Rn9gIPBic/dNFi+t205VTZ0uTSHSRGlhB0hmPTtmcuGI3vxtWSlfmzKc9FTVxCIn6Brg/9z9leiF7n7QzG5ooc+YCTzu7rXN3dHMZgGzALKzsyksLGzSfpWVlU3eti3404rDdM6AA5tXUril6T1h8dbOE5EMbQS1s7lUhIVsRkE+C1Zv48V127l0lL49ipyge4D3znIxs3ZAtru/6+7/PM5+pUB+1Ou8YFlDZgJfqLfv5Hr7Fja0o7vPBmYDFBQU+OTJkxva7AMKCwtp6rZhO1xdy+dffJ6rx/fjgvPHNGvfeGrniUqGNoLa2VzqegnZeUN70atTpoYkRU7OY0Bd1OvaYFljFgNDzGygmWUQKbSerr9RcMZlN2Bh1OIFwCVm1i2YkH9JsCwpvfz2Dg5W1WooUqQZVISFLC01hWtOy+Olt3awveJw2HFE4lVaMLEegOB5RmM7uXsNcAuR4mktMMfdV5vZvWZ2ZdSmM4FH3N2j9t0NfIdIIbcYuDdYlpQWFJXTpV06Zw7qEXYUkbgRsyLMzB4ws+1mVnSM9Z8ws5VmtsrMXjOzsbHK0tZNL8ijts752/JjjYKISCN2RBdNZnYVsLMpO7r7XHcf6u6nuPv3gmV3ufvTUdvc4+4fuIaYuz/g7oODxx9aoB1xqaqmjufXbuPikdma2yrSDLH8bXmQ45+u/Q5wnruPIfJtcnYMs7Rpp/TqSEH/bsxZUkzUF20RabqbgW+Y2RYzKwa+Dnwu5ExJ47WNO9l/uEZDkSLNFLMiLDhL6Zhd8+7+WnBtHYBFRCa1Jq0ZBfls2nGAZVv2NL6xiLyPu2909zOJXHB1hLt/yN03hJ0rWcwvKqdjZhpnD+kZdhSRuNKkIszMOhy9L5uZDQ2uyZPegjluAOa14PvFnWmn9qF9RipzFpeEHUUkLpnZZcDngS+b2V1mdlfYmZJBTW0dz63ZxgXDe5OZlhp2HJG40tRLVLwCnBOcAfQckUmoHwM+cbIBzOx8IkXY2cfZ5oSusQPxdc2SCb2Mp5YXc37XXWSl6Ro79amdiaOl22hmvwbaA+cDvwM+CrzRYh8gx/TGu7vZfaBKQ5EiJ6CpRZhFXfTwl+7+QzNbcbIfbmanEjlgTnX3Xcfa7kSvsQPxdc2SDgN2M/3XC9nfdTBTCvIb3yEQT208GWpn4ohBGz/k7qea2Up3/7aZ/Zgk711vLfOLyslKT+G8Yb3CjiISd5o6J8zMbBKRnq9ng2Un1e9sZv2I3Aj3Ond/+2TeK1EU9O/GwJ4deGyJhiRFmuno9V0OmllfoJrI/SMlhurqnPlF5Uwe2pv2Gbr2t0hzNbUIuw24E/h7cA2dQcBLx9vBzB4mcmHDYWZWYmY3mNnNZnZzsMldQA/gl2a2wsyWnGAbEoaZMb0gjzfe3c2mHZVhxxGJJ/8ws67Aj4BlwLvAQ6EmSgLLi/ewff8Rpo7RUKTIiWjSVxd3fxl4GSCYoL/T3b/YyD7XNrL+RuDGJuZMGteclsf/LniLx5eW8LUpw8OOI9LmBcekf7r7XuAJM3sGyHL3fSFHS3jzVpWTkZrCBcN7hx1FJC419ezIh8yss5l1AIqANWb2X7GNlpyyO2cxeVhvnlhWQk1tXeM7iCQ5d68D7o96fUQFWOy5O/OKyjl7SE86ZbXkyfIiyaOpw5Ej3b0CuJrIZNeBwHUxS5XkZhTksa3iCP9a36QLfosI/NPMrjGzpp9WLCelqLSC0r2HmKKzIkVOWFOLsPTgumBXA0+7ezWgS7vHyAXDs+neIYM5uqm3SFN9jsgNu4+YWYWZ7TezirBDJbJ5RWWkphgXj8gOO4pI3GpqEfYbIhNdOwCvmFl/QAe4GMlIS+HD43N5Ye02dlUeCTuOSJvn7p3cPcXdM9y9c/C6c9i5EpV75KzISYN60K1Do/dJF5FjaFIR5u4/c/dcd5/mEZuJXBRRYmRGQT7Vtc6TK7aGHUWkzTOzcxt6hJ0rUb29rZJNOw9oKFLkJDXp7Egz6wLcDRw9qL0M3Ato8muMDMvpxNi8Ljy2pJjPnjUATXUROa7oE4WygInAUuCCcOIktnlFZZjBJaM0FClyMpo6HPkAsB+YETwqgD/EKpRETC/IZ135flaVqtYVOR53vyLqcTEwGtgTdq5ENb+onNP7d6d3p6ywo4jEtaYWYae4+93uvil4fBsYFMtgAleM7UtmWoom6Is0XwkwIuwQieidnQdYV75fQ5EiLaCp95k4ZGZnu/urAGZ2FnAodrEEoEu7dKaOzuGpFVv51mUjyUo/qTtFiSQsM/s5/zljOwUYR+TK+dLC5hWVAagIE2kBTS3Cbgb+FMwNg0g3//WxiSTRZhTk8+SKrSxYXc5V43LDjiPSVkXf9qwGeNjd/x1WmEQ2v6icsXld6Nu1XdhRROJeU29b9CYw1sw6B68rzOw2YGUswwmcOagHed3aMWdJsYowkWN7HDjs7rUAZpZqZu3d/WDIuRJKyZ6DrCzZx9d1SzWRFtHUOWFApPgKrpwP8OUY5JF6UlKM6RPy+feGXRTv1t8TkWP4JxDdNdMOeCGkLAlrflE5AFM1FCnSIppVhNWjaya0kmsm5GIGjy8tCTuKSFuV5e6VR18Ez9uHmCchzS8qZ3hOJwb07BB2FJGEcDJFmG5b1EryurXn7ME9eXxpCXV1+rGLNOCAmZ129IWZTUAnD7Wo7RWHWbplD1NH9wk7ikjCOG4RdvT+aw089gN9WymjELlmWOneQ7y2cVfYUUTaotuAx8zsX2b2KvAocEvImRLKgtXluMPUMRqKFGkpx52Y7+6dWiuIHN8lI7PpnJXGnCXFnD2kZ9hxRNoUd19sZsOBYcGit9y9OsxMiWZeUTmDenVgSO+OYUcRSRgnMxwprSgrPZWrx+cyf3U5+w7qb4tINDP7AtDB3YvcvQjoaGafDztXoth9oIrX39nN1NE5uoWaSAtSERZHZhTkU1VTx9NvloYdRaStucnd9x594e57gJtCzJNQnl9TTm2daz6YSAtTERZHRvXtzIg+nZmzRGdJitSTalFdNGaWCmSEmCehzCsqJ69bO0b17Rx2FJGEoiIsjpgZMwryWFW6jzVbKxrfQSR5zAceNbMLzexC4GFgXsiZEsK+Q9X8e8NODUWKxICKsDhz9bhcMlJTeGypbuotEuXrwItEbrF2M7CK91+8VU7Qi+u2UV3rTNFQpEiLUxEWZ7p1yODikdk8ubyUIzW1YccRaRPcvQ54HXgXmAhcAKwNM1OimLeqnOzOmYzP7xp2FJGEoyIsDk0vyGPPwWr+uXZ72FFEQmVmQ83sbjNbB/wc2ALg7ue7+y+a+B5TzOwtM9tgZnccY5sZZrbGzFab2UNRy2vNbEXweLol2tSWHDhSw8tv72DKqBxSUjQUKdLSmnQDb2lbzhnSi5zOWcxZUsy0MRoikKS2DvgXcLm7bwAws9ubunMwgf9+4GKgBFhsZk+7+5qobYYAdwJnufseM+sd9RaH3H1cC7SjTSp8awdHauo0FCkSI+oJi0OpKcZHJ+Txyts7KNunO7NIUvsIUAa8ZGa/DSblN6fLZiKwwd03uXsV8AhwVb1tbgLuDy57gbsnTRf0vKIyenTIYOLA7mFHEUlI6gmLUx+dkMcvXtrA35aVMkqjBJKk3P1J4Ekz60CkeLoN6G1mvwL+7u7PNfIWuUD0WS4lwBn1thkKYGb/BlKBe9x9frAuy8yWADXA94M8H2Bms4BZANnZ2RQWFjapfZWVlU3etqVV1TovrD7IGX3S+NcrL8f0s8JsZ2tJhjaC2tlcKsLi1ICeHThjYHfmLCnmnoKw04iEy90PAA8BD5lZN2A6kTMmGyvCmiINGAJMBvKAV8xsTHBx2P7uXmpmg4AXzWyVu29sIN9sYDZAQUGBT548uUkfXFhYSFO3bWnPr9nG4dolfPaS0zhvaK+YflaY7WwtydBGUDubS8ORcWxGQT6bdx3k7T11YUcRaTPcfY+7z3b3C5uweSmQH/U6L1gWrQR42t2r3f0d4G0iRRnuXhr8dxNQCIw/yfhtxryiMjpnpTFpUI+wo4gkLBVhcWzqmBw6ZqbxSklN2FFE4tViYIiZDTSzDGAmUP8sxyeJ9IJhZj2JDE9uMrNuZpYZtfwsYA0JoKqmjhfWbOOikdlkpOnPhEis6LcrjrXPSOOKsX1YvK2G4t0Hw44jEnfcvQa4BVhA5Lpic9x9tZnda2ZXBpstAHaZ2RrgJeC/3H0XMAJYYmZvBsu/H31WZTxbuGkXFYdrdK9IkRjTnLA4d+M5g3h6eTEzfrOQh246k4E9O4QdSSSuuPtcYG69ZXdFPXfgy8EjepvXgDGtkbG1zS8qo0NGKucM6Rl2FJGEpp6wOHdKr458/fQsjtTUMeM3C1m/bX/YkUQkjtXWOc+t3sb5w3uTlZ4adhyRhKYiLAH065zKo7POBGDm7EWsLdPNvUXkxLzxzm52HajSUKRIK1ARliCGZHfi0Vlnkp6awrW/XURR6b6wI4lIHJpfVEZmWgqTh8X2shQiEsMizMweMLPtZlZ0jPVmZj8L7te20sxOi1WWZDGoV0fmfG4SHTLSuPa3i1i+ZU/YkUQkjtTVOfNXl3Pe0F50yNSUYZFYi2VP2IPAlOOsn0rkWjtDiFxJ+lcxzJI0+vVoz6OfO5PuHTK47vdvsPjd3WFHEpE4sbx4L9sqjjB1TE7YUUSSQsyKMHd/BTheBXAV8CePWAR0NTNNQmgBed3a8+isSfTunMmnfv8Gr23YGXYkEYkD84vKSE81LhieHXYUkaQQ5pywhu7ZlhtSloST0yWLR2dNIr97Oz7z4GJefntH2JFEpA1zd+YVlXPW4J50aZcedhyRpBAXg/4nevNbSI6biR6vjbeOcn60GG74wxvcMj6Tcb3j4p+8QcnwbwnJ0c5kaGO8Wb21gpI9h7j1gsFhRxFJGmH+RW7KPduAE7/5LSTHzUQba+M5Z1fxqQfe4BcrKvj5taOYOiY+R32T4d8SkqOdydDGeDO/qJzUFOPikZoPJtJawhyOfBr4VHCW5JnAPncvCzFPwuraPoO/3HgGp+Z14ZaHl/PUigZrXRFJYvOKyjhjYHe6d8gIO4pI0ojlJSoeBhYCw8ysxMxuMLObzezmYJO5wCZgA/Bb4POxyiLQOSudP91wBgX9u3H7oyt4fGlJ2JFEpI1Yv20/G3ccYOpo9YKJtKaYDUe6+7WNrHfgC7H6fPmgjplpPPiZidz0pyX81+NvUlVTx8fP6Bd2LBEJ2byicszg0lEqwkRak66Yn2TaZaTyu+sLmDy0F9/4+yr++Nq7YUcSkZDNKypnQr9u9O6cFXYUkaSiIiwJZaWn8uvrJnDJyGzufno1v31lU9iRRCQkm3cdYG1ZBVM0FCnS6lSEJanMtFTu/8RpXHZqH743dy2/eHF92JFEJATzisoBVISJhCB+LxolJy09NYX7PjaOjNQU/ve5t6mqqeP2i4diZmFHE5FWMq+onFPzupDXrX3YUUSSjoqwJJeWmsL/Th9LRmoKP3txA0dq67hjynAVYiJJYOveQ7xZvJevTRkWdhSRpKQiTEhNMf7fR8aQnmb85uVNHKmu4+4rRqoQE0lw84OhyKmj4/MCziLxTkWYAJCSYnznqtFkpKbywL/foaq2ju9eNZqUFBViIolqflE5w3M6MbBnh7CjiCQlFWHyHjPjvy8fQWZ6Cr8q3Eh1TR3fv+ZUUlWIiSSc7fsPs3jzbr504ZCwo4gkLRVh8j5mxtcuHUZmWgo/fWE9VbV1/Hj6WNJSdSKtSCJ5bvU23DUUKRImFWHyAWbGbRcNJT01hR8teIvq2jrumzmedBViIgljflE5g3p2YGh2x7CjiCQtFWFyTF84fzCZaSl899m1VNUs4/5PjCczLTXsWCJykvYcqGLhpl187txBOgFHJETq2pDjuvGcQXznqlG8sHYbs/60lMPVtWFHEpGT9PzabdTWuYYiRUKmIkwadd2kAXz/I2N4Zf0OPvvgYg5W1YQdSUROwvyicvK6tWN0buewo4gkNRVh0iQzJ/bjx9PHsmjTLj79wGIqj6gQE4lH+w9X8+r6nUwZlaOhSJGQqQiTJvvIaXncN3M8S7fs4brfv86+Q9VhRxKRZnpx3XaqauuYOkb3ihQJm4owaZYrxvbl/o+fRlHpPj75u9fZe7Aq7Egi0gzzVpXTu1Mm4/O7hR1FJOmpCJNmmzI6h99cN4G3tu1n5uxF7Ko8EnYkEWmCg1U1FL69nUtH5ehuGCJtgIowOSEXDM/m99cX8O6uA8ycvYjtFYfDjiRyQsxsipm9ZWYbzOyOY2wzw8zWmNlqM3soavn1ZrY+eFzfeqlPzMtv7eBwdR1TR2soUqQtUBEmJ+ycIb34w6cnUrr3EB+bvYiyfYfCjiTSLGaWCtwPTAVGAtea2ch62wwB7gTOcvdRwG3B8u7A3cAZwETgbjNr02N884rK6dY+nYkDu4cdRURQESYnadIpPfjzDRPZuf8IM36zkOLdB8OOJNIcE4EN7r7J3auAR4Cr6m1zE3C/u+8BcPftwfJLgefdfXew7nlgSivlbrYjNbW8uG47l4zM0W3IRNoI/SbKSZvQvzt/ufEM9h2sZubsRby780DYkUSaKhcojnpdEiyLNhQYamb/NrNFZjalGfu2Ga+u30nlkRqm6KxIkTZDty2SFjE2vysP3XQm1/3+dT42eyF/vfFMBvfWPekkIaQBQ4DJQB7wipmNac4bmNksYBZAdnY2hYWFTdqvsrKyyds25g+rjtAuDWpLV1NYtqZF3rOltGQ726pkaCOonc2lIkxazOjcLjwyaxKf+N0iZs5exF9vPINhOZ3CjiVyPKVAftTrvGBZtBLgdXevBt4xs7eJFGWlRAqz6H0LG/oQd58NzAYoKCjwyZMnN7TZBxQWFtLUbY+nuraOL738AlPG5HLRBeNO+v1aWku1sy1LhjaC2tlcGo6UFjUspxOPzJpEisHM2QspKt0XdiSR41kMDDGzgWaWAcwEnq63zZMExZaZ9SQyPLkJWABcYmbdggn5lwTL2pxFm3ax71A1U3RWpEiboiJMWtzg3h2Z87lJtEtP5eO/XcSbxXvDjiTSIHevAW4hUjytBea4+2ozu9fMrgw2WwDsMrM1wEvAf7n7LnffDXyHSCG3GLg3WNbmzCsqp31GKucN7RV2FBGJoiJMYmJAzw48+rlJdGmfzid/9zpLN7fJv00iuPtcdx/q7qe4+/eCZXe5+9PBc3f3L7v7SHcf4+6PRO37gLsPDh5/CKsNx1Nb5zy3upzzh/UmKz017DgiEkVFmMRMfvf2zPncJHp2yuS637/Bok27wo4kknSWvLubnZVVGooUaYNUhElM9enSjkdnnUnfru349B/e4NX1O8OOJJJU5hWVk5GWwvnDe4cdRUTqUREmMde7cxaPzDqTAT068Nk/Lualddsb30lETlpdnbNgdTnnDulFx0ydDC/S1qgIk1bRs2MmD990JkOzOzLrz0tYsLo87EgiCe/Nkr2U7Tuse0WKtFEqwqTVdOuQwV9vPJNRfbvwhb8u45mVW8OOJJLQ5heVk5ZiXDQiO+woItIAFWHSqrq0S+cvN57Baf268cWHl/P35SVhRxJJSO7OvKJyPjS4J13ap4cdR0QaoCJMWl3HzDQe/OzpnDmoB1+e8yZzFhc3vpOINMuasgq27D6ooUiRNiymRZiZTTGzt8xsg5nd0cD6fmb2kpktN7OVZjYtlnmk7WifkcYDnz6dc4f04mtPrOTPizaHHUkkocwvKifF4JKRGooUaatiVoSZWSpwPzAVGAlca2Yj6232LSJXqB5P5HYhv4xVHml7stJTmf2pCVw0ojf//WQRv/vXprAjiSSMeUXlTBzYnR4dM8OOIiLHEMuesInABnff5O5VwCPAVfW2caBz8LwLoJnaSSYzLZVffmICU0fn8N1n1/LLwg1hRxKJexu272fD9kqmju4TdhQROY5YFmG5QPRkn5JgWbR7gE+aWQkwF7g1hnmkjcpIS+Hn147nqnF9+eH8t/jpC2/j7mHHEolb81ZFLgFz6SjNBxNpy8K+et+1wIPu/mMzmwT82cxGu3td9EZmNguYBZCdnU1hYWGTP6CysrJZ28ejRGnjVdnOrtw0fvrCejZsepdrhqRjZu+tT5R2NiYZ2pkMbQzTvKJyTuvXlZwuWWFHEZHjiGURVgrkR73OC5ZFuwGYAuDuC80sC+gJvO+S6u4+G5gNUFBQ4JMnT25yiMLCQpqzfTxKpDZOPs/51lNFPPT6FrL75vGty0a8V4glUjuPJxnamQxtDMuWXQdZU1bBN6eNCDuKiDQilkXYYmCImQ0kUnzNBD5eb5stwIXAg2Y2AsgCdsQwk7RxKSnG964eTUZqCr9/9R2qaur49pWjSEmxxncWEeYVlQHoht0icSBmRZi715jZLcACIBV4wN1Xm9m9wBJ3fxr4CvBbM7udyCT9T7smAyU9M+PuK0aSmZbCb17ZRHVtHd/78JiwY4nEhXlF5YzO7Ux+9/ZhRxGRRsR0Tpi7zyUy4T562V1Rz9cAZ8Uyg8QnM+OOqcPJTEvhZy9uoKqmjst6qT4XOZ6yfYdYUbyX/7p0WNhRRKQJwp6YL3JMZsaXLxlGemoKP37+bdZ2T6Fdv51MOqXH+ybsi0jE/KLIWZEaihSJDyrCpM279cIhdOuQwQ/mFvHx373OiD6dufHsgVwxti8ZabrzlshR84vKGZrdkf+/vfuPjqo+8zj+fkhICAb5kV9qEkxIJloUBUUFAohULHR3tYWq7Vbbrqh7emqrW9uK+0e329Pdomfbba2c02UB625bbbU/Du0KQoFUMDn8sgLhdwgowQAhiJJKA0me/WPGdpaNltCZ3Jk7n9c5c5h752byfEN4eOZ+n/u9VUX5QYciIudA/4NJWrhrwqV868bBPDZnDF3dPTz83BZqH1vNk6v38ubvTwcdnkjgjnV0svHAcWZqgVaRtKEzYZI2crKMO68byR3jy1m79xiL1u3n31bs4ck1Tcy+pox7aiupLtYZAMlMK7YfocfRDbtF0oiKMEk7ZsbUmiKm1hSx58hJlqzbz/ObW/jx+teZfnkxcydXMkl9Y5JhljW2UlEwmMsvGhJ0KCJyjjQdKWmtpmQI8+dcRf286Tx0c4StLSf45KL1zPruWp7f3EJnV3fQIYok3VvvnKFhXzszr7xYHz5E0oiKMAmFwvxcHrq5hnWPTOfxOVfhDl96bguT8uJsewAAD41JREFUH1vD91bt5bj6xiTEVu48QlePaypSJM1oOlJCZdDALO64rpzbx5exrukYi9bu51sr/9Q3NndyBdXFmq6RcFne2ErpsDyuKhsadCgi0gcqwiSUzIwpkSKmRIrYe+QkS17ez89eaeGZDa9z02VFzJ08itpq9Y1J+uvo7OKlvce464ZL9fsskmY0HSmhFykZwjdnX0XDvOl8cUYN2w69xV2Lo31jP910UH1jktZW7zrK6a4eZo3RVKRIulERJhmjID+XL3wwEu0b+9hVAHzl+a3Uzl/DE6v20t7RGXCEIn23vLGVoiG5XDtyeNChiEgfaTpSMs6ggVncMb6c268t4+Wmdhata+bbK/ewYE0Ts68p5Z7aSiIl6huT1HfqdDdrdrUx59pSBgzQVKRIulERJhnLzJgcKWRypJCmoydZvO4AP3+lhWc2HOTGmiLunVLJ5OpC9dlIyvrtnjZOnelmllbJF0lLmo4UAaqLh/DN2WOonzedh2fUsP2Nt7l78QZmfifaN/aHM+obCyszm2lmu82syczm9fL6Z8yszcxejT3ujXutO27/0v6NPDoVOXzwQG6oHNHf31pEEkBnwkTiFOTn8vkPRrj/xlEsffUNFq/bz1ee38rjy3dx94QK7powkoL83KDDlAQxsyxgATADaAE2mtlSd99x1qE/cfcHenmLU+4+Ntlx9qazq5tVO48ya8xFZGfp87RIOlIRJtKL3Owsbh9fzseuLaN+XzuL1jbz77/Zw4K6JmaPK+WeyZXUqG8sDK4Hmty9GcDMngVuA84uwlJOfVM7Jzu7NBUpksZUhIm8DzOjtrqQ2upCmo52RNcb29zCsxsPMrWmiHsnVzIlor6xNFYKHIzbbgFu6OW4OWY2FdgD/IO7v/s1g8xsE9AFzHf3XyY12jjLGlsZkpvNpOqC/vqWIpJgKsJEzlF1cT7/+tExfOmWy/jx+td4uuE1PrVkAzUl+cydXMltY0sZNDAr6DAl8X4FPOPunWb298DTwPTYa5e6+yEzGwWsNrNt7r7v7Dcws/uB+wFKSkqoq6s7p2/c0dHR67HdPc4LW95hTGEWDevWns+YUsp7jTNMMmGMoHH2lYowkT4acUEOD0yPcN/UUfxqSyuL1+3nkZ9t4/Hlu7lrwqXcPfFSCtU3li4OAeVx22WxfX/k7u1xm4uAx+NeOxT7s9nM6oBxwP8rwtx9IbAQYPz48T5t2rRzCq6uro7ejn256RgdZ9bz6Q+OZVoI7hf5XuMMk0wYI2icfaVuTpHzlJudxceuLeOFL0zmx/fewNXlw/juqr1Mmr+aR57fyp4jJ4MOUf68jUDEzCrNLAf4OPB/rnI0s/imq1uBnbH9w80sN/a8EKiln3rJljW2kjcwixtrivrj24lIkuhMmMhfyMyYVF3IpFjf2FOx+1T+ZNNBpkQKuXfKKKaqbywluXuXmT0AvAhkAUvcfbuZfR3Y5O5LgS+Y2a1E+76OA5+JffkHgP8wsx6iH2jn93JVZcL19Dgvbj/CTZcXkZej6W+RdKYiTCSBqovz+Zd3+8Y2vM4P6g/w6SUbiBRH+8Y+Mk59Y6nG3V8AXjhr31fjnj8KPNrL19UDY5Ie4Fk2v/4mbSc7mamrIkXSnqYjRZJg+AU5fO6matY9chPfuv1qBmYNYN7Pt1E7fzXfXrmHtpO6T6Wcn2XbDpOTNYCbLtNUpEi605kwkSTKzc5izrVlzL6mlIbmdhav3c8Tq/by/bp9fGTcJcydPIrLLtJ6Y3Ju3J0Xtx9mSqSQIYMGBh2OiPyFVISJ9AMzY1JVIZOqCtnXFu0be35zCz/d1MKUSCFzJ1dyY02R+sbkfW1teYtDJ07x0M2RoEMRkQRQESbSz6qK8vnGR8bw8Ixo39jT9Qf4zFMbqS7O557aSi487UGHKClqWeNhsgcYM0aXBB2KiCSAijCRgLzbN3bflFH8eusbLFq7n3/8xTYM+P7utbEzZwVcVzGCC3L1TzXTuTvLG1uZWFXAsME5QYcjIgmgzC4SsJzsAcy+poyPjivldwdP8N8rNvJGdzY/ePkAC19qJnuAMbZ8WHQZjKoCxo0cRm62rrDMNLsOn+RA+zvcN3VU0KGISIKoCBNJEWbGNSOH83Z1DtOmTeTU6W42vXac+n3t1Dcd48nVe3li1V4GDRzAdRUjmFhVQG1VIVeWDiVrgHrJwm5Z42HM4JbR6b9CvohEqQgTSVF5OVlMiRQxJRJdiuCtU2dY39xO/b52Gva18/jy3cBuhgzK5obKAmqrC5hUVUhNSb4a/ENoeWMr11WMoGiIboklEhYqwkTSxNC8gdxyxUXcckX0TEjbyU4amttp2HeMl5va+c3OIwAU5ucwMdZPVltVSPmIPBVlaW5fWwd7jnTwT38zOuhQRCSBVISJpKmiIbncevUl3Hr1JQAcPP4ODc3Rqcv6fe38assbAJQOy4sWZNWFTKwqoOTCQUGGLedheeNhAGaG4GbdIvInKsJEQqJ8xGDKRwzmjvHluDv72jpi/WTtrNhxhOc2twBQVXQBtbEm/wmjdKVdOljW2MrY8mFcPDQv6FBEJIFUhImEkJlRXTyE6uIhfGpiBd09zs7Wt6mPTV0+t6mF/2p4DTO44pILtRxGCjt4/B0aD73No7MuDzoUEUmwpGZbM5sJfBfIAha5+/xejrkD+BrgwBZ3/9tkxiSSibIGGFeWDuXK0qHcP7WK0109bGk5QX1TO/X7jmk5jBT27lTkLN2wWyR0klaEmVkWsACYAbQAG81sqbvviDsmAjwK1Lr7m2ZWnKx4RORPcrKjy1xcVzGCB2+OnNNyGJOqChmj5TD63bLGVkZffCEjCwYHHYqIJFgyz4RdDzS5ezOAmT0L3AbsiDvmPmCBu78J4O5HkxiPiLwHLYeRmt78Qw+vvH6Ch2fUBB2KiCRBMouwUuBg3HYLcMNZx9QAmNnLRKcsv+buy5MYk4icg/NZDmNSVQEjRwxWUZZAm490AzBrjK6KFAmjoDtws4EIMA0oA14yszHufiL+IDO7H7gfoKSkhLq6unP+Bh0dHX06Ph1lwhhB4wzahcCHRsCHrjfa3slj1/FudrR3s3ZX6x+XwygYZIwuyOIDBVl8YMQAhg8a0Ot7peoYU82mI11UF+dTXTwk6FBEJAmSWYQdAsrjtsti++K1AOvd/Qyw38z2EC3KNsYf5O4LgYUA48eP92nTpp1zEHV1dfTl+HSUCWMEjTNVnb0cRkNzO2sPdQLvvRxGuo0xCO0dnew+3sMD03UWTCSsklmEbQQiZlZJtPj6OHD2lY+/BD4BPGVmhUSnJ5uTGJOIJNj5LIeR//suJnZ168rL97FixxEcLdAqEmZJK8LcvcvMHgBeJNrvtcTdt5vZ14FN7r409totZrYD6Aa+7O7tyYpJRJLvXJbDONPdw90fVhH2flZsP0xRnjH64guDDkVEkiSpPWHu/gLwwln7vhr33IEvxh4iEkK9LYfxw/+pY/gFWqn//XznznH8YuVLutBBJMR675oVEUmSvJwsIsN1BuzPGTp4IBVD9XMSCTMVYSIiIiIBUBEmIiIiEgAVYSIiIiIBUBEmIiIiEgAVYSIiIiIBUBEmIiIiEgAVYSIiIiIBUBEmIiIiEgAVYSIiIiIBUBEmIiIiEgCL3r4xfZhZG/BaH76kEDiWpHBSRSaMETTOMOnrGC9196JkBdOf+pjDMuF3ATJjnJkwRtA4e/Oe+SvtirC+MrNN7j4+6DiSKRPGCBpnmGTCGBMhU35OmTDOTBgjaJx9pelIERERkQCoCBMREREJQCYUYQuDDqAfZMIYQeMMk0wYYyJkys8pE8aZCWMEjbNPQt8TJiIiIpKKMuFMmIiIiEjKCW0RZmYzzWy3mTWZ2byg40kGM1tiZkfNrDHoWJLJzMrNbI2Z7TCz7Wb2YNAxJZqZDTKzDWa2JTbGfw46pmQysywz+52Z/TroWFKVclg4ZEL+gszKYYnMX6EswswsC1gAzAJGA58ws9HBRpUUPwBmBh1EP+gCHnb30cAE4HMh/PvsBKa7+9XAWGCmmU0IOKZkehDYGXQQqUo5LFQyIX9BZuWwhOWvUBZhwPVAk7s3u/tp4FngtoBjSjh3fwk4HnQcyebure7+Suz5SaK//KXBRpVYHtUR2xwYe4SyYdPMyoC/AhYFHUsKUw4LiUzIX5A5OSzR+SusRVgpcDBuu4UQ/tJnIjOrAMYB64ONJPFip7hfBY4CK909dGOM+Q7wFaAn6EBSmHJYCIU5f0HG5LCE5q+wFmESQmaWD/wMeMjd3w46nkRz9253HwuUAdeb2ZVBx5RoZvbXwFF33xx0LCL9Kez5C8Kfw5KRv8JahB0CyuO2y2L7JE2Z2UCiCexH7v7zoONJJnc/AawhnL0ytcCtZnaA6BTbdDP7YbAhpSTlsBDJpPwFoc5hCc9fYS3CNgIRM6s0sxzg48DSgGOS82RmBiwGdrr7t4OOJxnMrMjMhsWe5wEzgF3BRpV47v6ou5e5ewXRf5er3f2ugMNKRcphIZEJ+QsyI4clI3+Fsghz9y7gAeBFok2QP3X37cFGlXhm9gzQAFxmZi1mNjfomJKkFrib6KeOV2OPDwcdVIJdDKwxs61E/wNe6e5aviFDKYeFSibkL1AOOy9aMV9EREQkAKE8EyYiIiKS6lSEiYiIiARARZiIiIhIAFSEiYiIiARARZiIiIhIAFSESb8zs+64S7VfNbN5CXzvCjNrTNT7iYjEU/6SRMoOOgDJSKdit7YQEUk3yl+SMDoTJinDzA6Y2eNmts3MNphZdWx/hZmtNrOtZrbKzEbG9peY2S/MbEvsMSn2Vllm9p9mtt3MVsRWbxYRSRrlLzkfKsIkCHlnnc6/M+61t9x9DPAk0bvVA3wPeNrdrwJ+BDwR2/8E8Ft3vxq4Bnh3RfEIsMDdrwBOAHOSPB4RyRzKX5IwWjFf+p2Zdbh7fi/7DwDT3b05dsPbw+5eYGbHgIvd/Uxsf6u7F5pZG1Dm7p1x71FB9HYZkdj2I8BAd/9G8kcmImGn/CWJpDNhkmr8PZ73RWfc827U+ygi/UP5S/pERZikmjvj/myIPa8nesd6gE8Ca2PPVwGfBTCzLDMb2l9Bioj0QvlL+kQVtgQhz8xejdte7u7vXuY93My2Ev00+InYvs8DT5nZl4E24O9i+x8EFprZXKKfGD8LtCY9ehHJZMpfkjDqCZOUEeupGO/ux4KORUSkL5S/5HxoOlJEREQkADoTJiIiIhIAnQkTERERCYCKMBEREZEAqAgTERERCYCKMBEREZEAqAgTERERCYCKMBEREZEA/C81w8KJCJOMywAAAABJRU5ErkJggg==\n",
"text/plain": [
"<Figure size 720x360 with 2 Axes>"
]
},
"metadata": {
"tags": [],
"needs_background": "light"
}
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "7SEkmqGW_mD7"
},
"source": [
"# SGD, lr = 0.1\n",
"optimizer = tf.keras.optimizers.SGD(learning_rate=0.1)\n",
"model.compile(\n",
" optimizer=optimizer,\n",
" loss=loss_fn,\n",
" metrics=['accuracy'],\n",
")"
],
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "KMktSPbz_riB",
"colab": {
"base_uri": "https://localhost:8080/"
},
"outputId": "caa64231-c753-4716-baa3-5b970f25393b"
},
"source": [
"history = model.fit(x_train, y_train, epochs=5)"
],
"execution_count": null,
"outputs": [
{
"output_type": "stream",
"text": [
"Epoch 1/5\n",
"1875/1875 [==============================] - 4s 2ms/step - loss: 0.2915 - accuracy: 0.9140\n",
"Epoch 2/5\n",
"1875/1875 [==============================] - 3s 2ms/step - loss: 0.1689 - accuracy: 0.9507\n",
"Epoch 3/5\n",
"1875/1875 [==============================] - 3s 2ms/step - loss: 0.1304 - accuracy: 0.9620\n",
"Epoch 4/5\n",
"1875/1875 [==============================] - 3s 2ms/step - loss: 0.1086 - accuracy: 0.9671\n",
"Epoch 5/5\n",
"1875/1875 [==============================] - 3s 2ms/step - loss: 0.0945 - accuracy: 0.9719\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "nygXdCZX_tBj",
"colab": {
"base_uri": "https://localhost:8080/"
},
"outputId": "683da787-6f5a-43df-8fb0-49a35df51900"
},
"source": [
"model.evaluate(x_test, y_test, verbose=2)"
],
"execution_count": null,
"outputs": [
{
"output_type": "stream",
"text": [
"313/313 - 0s - loss: 0.0850 - accuracy: 0.9729\n"
],
"name": "stdout"
},
{
"output_type": "execute_result",
"data": {
"text/plain": [
"[0.08496445417404175, 0.9728999733924866]"
]
},
"metadata": {
"tags": []
},
"execution_count": 30
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "wJJHm5S1_u12",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 350
},
"outputId": "dc4f62d2-1264-470b-e480-048870d994d5"
},
"source": [
"_plot_graphics(history)"
],
"execution_count": null,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x360 with 2 Axes>"
]
},
"metadata": {
"tags": [],
"needs_background": "light"
}
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "7mnnP3ECA_ex"
},
"source": [
"# SGD, lr = 0.5\n",
"optimizer = tf.keras.optimizers.SGD(learning_rate=0.5)\n",
"model.compile(\n",
" optimizer=optimizer,\n",
" loss=loss_fn,\n",
" metrics=['accuracy'],\n",
")"
],
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "6LmQXCGeBAVw",
"colab": {
"base_uri": "https://localhost:8080/"
},
"outputId": "5631d2ed-ef38-4dd2-9b02-2a136a08ea3a"
},
"source": [
"history = model.fit(x_train, y_train, epochs=5)"
],
"execution_count": null,
"outputs": [
{
"output_type": "stream",
"text": [
"Epoch 1/5\n",
"1875/1875 [==============================] - 4s 2ms/step - loss: 0.1725 - accuracy: 0.9460\n",
"Epoch 2/5\n",
"1875/1875 [==============================] - 4s 2ms/step - loss: 0.1371 - accuracy: 0.9587\n",
"Epoch 3/5\n",
"1875/1875 [==============================] - 4s 2ms/step - loss: 0.1171 - accuracy: 0.9636\n",
"Epoch 4/5\n",
"1875/1875 [==============================] - 3s 2ms/step - loss: 0.1024 - accuracy: 0.9681\n",
"Epoch 5/5\n",
"1875/1875 [==============================] - 3s 2ms/step - loss: 0.0931 - accuracy: 0.9710\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "tBejEy0FA_k_",
"colab": {
"base_uri": "https://localhost:8080/"
},
"outputId": "ebd9c1a2-ddfe-4cd2-e84a-72ba3b89fd7c"
},
"source": [
"model.evaluate(x_test, y_test, verbose=2)"
],
"execution_count": null,
"outputs": [
{
"output_type": "stream",
"text": [
"313/313 - 0s - loss: 0.1002 - accuracy: 0.9723\n"
],
"name": "stdout"
},
{
"output_type": "execute_result",
"data": {
"text/plain": [
"[0.10022460669279099, 0.9722999930381775]"
]
},
"metadata": {
"tags": []
},
"execution_count": 34
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "XoNSSvCOA_qz",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 350
},
"outputId": "1c427ad4-7132-40bc-8797-8b295014ec67"
},
"source": [
"_plot_graphics(history)"
],
"execution_count": null,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x360 with 2 Axes>"
]
},
"metadata": {
"tags": [],
"needs_background": "light"
}
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "ewgK6dRoBI6K"
},
"source": [
"# SGD, lr = 0.9\n",
"optimizer = tf.keras.optimizers.SGD(learning_rate=0.9)\n",
"model.compile(\n",
" optimizer=optimizer,\n",
" loss=loss_fn,\n",
" metrics=['accuracy'],\n",
")"
],
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "oX--d66eBI-Y",
"colab": {
"base_uri": "https://localhost:8080/"
},
"outputId": "2198f7d8-8307-467f-cb79-65ce7cac48ae"
},
"source": [
"history = model.fit(x_train, y_train, epochs=5)"
],
"execution_count": null,
"outputs": [
{
"output_type": "stream",
"text": [
"Epoch 1/5\n",
"1875/1875 [==============================] - 4s 2ms/step - loss: 0.2379 - accuracy: 0.9371\n",
"Epoch 2/5\n",
"1875/1875 [==============================] - 3s 2ms/step - loss: 0.2295 - accuracy: 0.9431\n",
"Epoch 3/5\n",
"1875/1875 [==============================] - 3s 2ms/step - loss: 0.1956 - accuracy: 0.9516\n",
"Epoch 4/5\n",
"1875/1875 [==============================] - 3s 2ms/step - loss: 0.2033 - accuracy: 0.9518\n",
"Epoch 5/5\n",
"1875/1875 [==============================] - 3s 2ms/step - loss: 0.2125 - accuracy: 0.9512\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "NA9Z-fy1BJFx",
"colab": {
"base_uri": "https://localhost:8080/"
},
"outputId": "05749bfb-9da8-46f3-eb45-5f7234480535"
},
"source": [
"model.evaluate(x_test, y_test, verbose=2)"
],
"execution_count": null,
"outputs": [
{
"output_type": "stream",
"text": [
"313/313 - 0s - loss: 0.2180 - accuracy: 0.9545\n"
],
"name": "stdout"
},
{
"output_type": "execute_result",
"data": {
"text/plain": [
"[0.21798588335514069, 0.9545000195503235]"
]
},
"metadata": {
"tags": []
},
"execution_count": 38
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "cqLAxrS6BJKW",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 350
},
"outputId": "6ef97dd9-64fd-4a94-ab67-c7154229539d"
},
"source": [
"_plot_graphics(history)"
],
"execution_count": null,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x360 with 2 Axes>"
]
},
"metadata": {
"tags": [],
"needs_background": "light"
}
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "5IVmzxx4BTjn"
},
"source": [
"# SGD, lr = 1.5\n",
"optimizer = tf.keras.optimizers.SGD(learning_rate=1.5)\n",
"model.compile(\n",
" optimizer=optimizer,\n",
" loss=loss_fn,\n",
" metrics=['accuracy'],\n",
")"
],
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "wxe6gVXTBTmW",
"colab": {
"base_uri": "https://localhost:8080/"
},
"outputId": "491b6828-2602-45d6-9a48-4cd578bc2a87"
},
"source": [
"history = model.fit(x_train, y_train, epochs=5)"
],
"execution_count": null,
"outputs": [
{
"output_type": "stream",
"text": [
"Epoch 1/5\n",
"1875/1875 [==============================] - 4s 2ms/step - loss: 0.6241 - accuracy: 0.8746\n",
"Epoch 2/5\n",
"1875/1875 [==============================] - 3s 2ms/step - loss: 0.4750 - accuracy: 0.8954\n",
"Epoch 3/5\n",
"1875/1875 [==============================] - 3s 2ms/step - loss: 0.4294 - accuracy: 0.9069\n",
"Epoch 4/5\n",
"1875/1875 [==============================] - 3s 2ms/step - loss: 0.3891 - accuracy: 0.9166\n",
"Epoch 5/5\n",
"1875/1875 [==============================] - 3s 2ms/step - loss: 0.3670 - accuracy: 0.9194\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "qJY3YSQ7BTtS",
"colab": {
"base_uri": "https://localhost:8080/"
},
"outputId": "a7282791-6215-474c-a269-bff5f214136c"
},
"source": [
"model.evaluate(x_test, y_test, verbose=2)"
],
"execution_count": null,
"outputs": [
{
"output_type": "stream",
"text": [
"313/313 - 0s - loss: 0.3398 - accuracy: 0.9320\n"
],
"name": "stdout"
},
{
"output_type": "execute_result",
"data": {
"text/plain": [
"[0.33978116512298584, 0.9319999814033508]"
]
},
"metadata": {
"tags": []
},
"execution_count": 42
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "pMT0Dby4BTv5",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 350
},
"outputId": "d9fb8a41-1788-436d-f473-e1e660a85b9b"
},
"source": [
"_plot_graphics(history)"
],
"execution_count": null,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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UMprXpmql6E1xojfyMtKqXjV6Na/N6FkbuKdvS00MEBERiSD7DuczffVOpnm3uFiTcwCAeimVOKdNXXq3TqV3q1TqVU/2OdKyE/PJGQQmBjw4egFTs3Po26au3+GIiIjErKMtjVQlKZ4zWtThxjMCvWOt61WL6HFjp0LJGdC/Y31qV01i5Mz1Ss5ERETKUahLI3VNr0VSQvSMGzsVSs6ASgnxXNu9Ma9P/Z7t+w5XqK5RERGRSLN9/+Efbv5a2tJIZ7dK5cyWP14aKZYoOfMMzkhn+OQ1fDBnA/ed19rvcERERCqMIwWOb1duD8yqDFoaqVaVRM5ulVquSyNFAyVnnuapVTmrZR1GzdrAT/q1Il4TA0RERE6Jc46XM1fzzKSDFLjZEbE0UjRQchZkSK907hs5n8lZOzi3bT2/wxEREYlaRUWOJz9fxhvT1tIjLZ6HLu8REUsjRYPYGFkXoova1ye1WmBigIiIiJyc/MIifj5mIW9MW8sdvZvz0y6V6N06VYlZiJScBUlKiOPa7k34ZsV2tu497Hc4IiIiUedwfiH3vDOXf8/fxP+7uC2/uawdcRX0lhfhouSshMEZTSgscrw/e4PfoYiIiESVvYfyueX1WXyzcjt/vLoj957bqsLeiyycwpqcmVl/M1tpZtlm9shR9rnezJaZ2VIzGxlUPtTMsrzH0HDGGaxpnar0aZ3K+7PXU1jkyuuwIiIiUW37/sMMGj6D+Rt288LgrtzYq6nfIUWtsCVnZhYPvARcArQHBptZ+xL7tAYeBc52znUAHvLKawO/A3oBGcDvzKxWuGItaUhGOpv3HiZz5fbyOqSIiEjU2rDrINf9czprcw7w+tCeXN6pod8hRbVw9pxlANnOuTXOuTxgNHBliX3uAl5yzu0GcM4VZ0MXAxOcc7u8bROA/mGM9UcuaJ9G3ZRKmhggIiJyHCu37mfgK9+x52A+793VSyvtlIFwJmeNgOCBWxu9smBtgDZmNs3MZphZ/xOoGzaJ8XFc36Mx367czuY9h8rrsCIiIlFl7rrdXP/qdMxgzD1n0i293C5yVWh+3+csAWgN9AMaA5PN7PRQK5vZMGAYQFpaGpmZmSEfODc395j7Nysswjn4y5gpXN06KeT3jTTHa2dFEAttBLVTRCLLf1bt4J535lK/RjJv355Bk9q6u39ZCWdytgloEvS6sVcWbCMw0zmXD3xvZqsIJGubCCRswXUzSx7AOTccGA7Qo0cP169fv5K7HFVmZibH2/+zrbOYsXUff7+9Lwnx0TmxNZR2RrtYaCOonSISOT5duJmffbCA1vVSeOv2DOqmVPI7pAolnBnHbKC1mTU3syRgEDCuxD4f4yVhZpZK4DLnGuAr4CIzq+VNBLjIKytXQ3qls23fEb5ZoYkBIiIiAO/MWMcDo+fTNb0Wo+8+Q4lZGIQtOXPOFQD3EUiqlgMfOOeWmtkTZjbA2+0rYKeZLQO+Bf6fc26nc24X8CSBBG828IRXVq7OP60eadUrMXKWJgaIiEhsc87x/KQsfvvxEs4/LY23b8+genKi32FVSGEdc+acGw+ML1H2WNBzB/zMe5SsOwIYEc74jichPo4bejThhW+z2bDroK6ni4hITApeJ/Oabo3468BOUTvcJxroJ3scN2SkY6AVA0REJCaVXCfz6Ws7KzELM/10j6NRzcqc27Ye78/ZQH5hkd/hiIiIlJtS18mM03JM4abkLARDeqWzY/8RJi3f5ncoIiIi5ULrZPpHyVkI+rWtR8MaybynFQNERCQGaJ1Mfyk5C0F8nHFDz3SmZOWwfudBv8MREREJG62T6T8lZyG6oWcT4uOMUbPVeyYiIhWT1smMDErOQlS/RjLnnVaPMXM2kFegiQEiIlKxaJ3MyKHk7AQM6ZVOTm4eE5ZpYoCIiFQc/1m1g5tem0ntqkmMvecs2qSl+B1STFNydgL6tq5Lo5qVGTlrnd+hiIiIlIlPF27mzrdm0zy1Kh/cfaZuuB4BlJydgPg4Y3BGE6Zl72RtzgG/wxERETklWiczMik5O0HX92hCQpwxSuttiohIlNI6mZFNydkJqlc9mQvapTFm7kaOFBT6HY6IiMgJKSpyPPHZMv4xYRXXdGvEP2/qRnJivN9hSRAlZydhSK90dh3I46ulmhggIiLRQ+tkRgf9Rk5C71appNeuwsiZmhggIiLRQetkRg8lZychLs4YlNGEGWt2sXpHrt/hiIiIHJPWyYwuSs5O0nXdvYkBWm9TREQimNbJjD5Kzk5S3ZRKXNyhPmPnbeRwviYGiIhI5NE6mdFJydkpGNIrnT0H8/lyyVa/QxEREfkRrZMZvZScnYIzW9ShWZ0qjNSlTRERiSBaJzO6KTk7BXFxxuCMdGat3UXWtv1+hyMiZcjM+pvZSjPLNrNHStne1MwmmdkiM8s0s8ZB2740sz1m9ln5Ri2idTIrAiVnp+ja7o1Jio9jpFYMEKkwzCweeAm4BGgPDDaz9iV2exp42znXCXgCeCpo29+Am8sjVpFgWiezYlBydorqVKvExR3r8+FcTQwQqUAygGzn3BrnXB4wGriyxD7tgW+8598Gb3fOTQLUnS7lSutkVhxKzsrAkIx09h0u4PNFW/wORUTKRiNgQ9DrjV5ZsIXANd7zq4EUM6tTDrGJ/IjWyax4EvwOoCI4o0VtWtStyshZ6xnYvfHxK4hIRfAL4EUzuxWYDGwCTqj73MyGAcMA0tLSyMzMDKlebm5uyPtGM7Xz+IqcY9SKPCasK+DshgkMbrKfGdOmlG2AZUC/yxOj5KwMmBlDMtL5w+fLWbl1P23ra/ClSJTbBDQJet3YK/uBc24zXs+ZmVUDBjrn9pzIQZxzw4HhAD169HD9+vULqV5mZiah7hvN1M5jyy8s4v/GLmLCuk3c0bs5v740cpdj0u/yxOiyZhkZ2K0xSQlxWm9TpGKYDbQ2s+ZmlgQMAsYF72BmqWZWfA59FBhRzjFKDNM6mRWbkrMyUqtqEpd2rM9H8zdxKE8TA0SimXOuALgP+ApYDnzgnFtqZk+Y2QBvt37ASjNbBaQBfyyub2ZTgDHA+Wa20cwuLtcGSIWmdTIrPl3WLENDejXl4wWb+XTRZq7v0eT4FUQkYjnnxgPjS5Q9FvR8LDD2KHX7hDc6iVXb9x9m6IjZZG/fzwuDu2o5pgpKPWdlqGezWrSqV00rBoiISJnTOpmxQ8lZGSqeGLBgwx6Wbd7ndzgiIlJBaJ3M2KLkrIwN7NaYSglxjJyliQEiInLqtE5m7FFyVsZqVEnksk4N+Hj+Zg4cKfA7HBERiWJaJzM2KTkLgxt7pZN7pIBPF272OxQREYlSWiczdik5C4Nu6bVom5aixdBFROSkaJ3M2KbkLAzMjCG90lm0cS+LN+71OxwREYkSWidTQMlZ2FzVtRHJiZoYICIioSkqcjzx2TL+MWEV13RrxD9v6kZyYrzfYYkPlJyFSY3KiVzRqSGfLNjM/sP5focjIiIRLL+wiJ+PWcgb09ZyR+/mPH1tZxLi9Sc6Vuk3H0ZDeqVzMK+QTxZoYoCIiJQur9BpnUz5ESVnYdSlSU3aNajOyJnrcc75HY6IiESYvYfyeXrOYa2TKT8S1uTMzPqb2UozyzazR0rZfquZ7TCzBd7jzqBthUHl48IZZ7gUTwxYtmUfCzUxQEREguw5mMfg4TNYvaeIFwZ35cZeTf0OSSJE2JIzM4sHXgIuAdoDg82sfSm7vu+c6+I9XgsqPxRUPiBccYbbVV0aUiUpnpEzNTFAREQCDuUVcsdbc8jenstD3SppnUz5kXD2nGUA2c65Nc65PGA0cGUYjxeRUpITGdC5IZ8u3MI+TQwQEYl5BYVF3D9qHvPW7+bZQV04vW6C3yFJhAlnctYI2BD0eqNXVtJAM1tkZmPNrElQebKZzTGzGWZ2VRjjDLshvdI5lF/Ix/M3+R2KiIj4yDnHr/+9hInLt/PEgA5cenoDv0OSCOR3uv4pMMo5d8TM7gbeAs7ztjV1zm0ysxbAN2a22Dm3OriymQ0DhgGkpaWRmZkZ8oFzc3NPaP9T1bR6HMMnLaPJ4e/LdbBnebfTD7HQRlA7RSqCf0xYxftzNnD/ea24+cxmfocjESqcydkmILgnrLFX9gPn3M6gl68Bfw3atsn7d42ZZQJdgdUl6g8HhgP06NHD9evXL+TgMjMzOZH9T9Xdldfzq38vpnqLLnRvWqvcjlve7fRDLLQR1E6RaPfO9LW88E02g3o24WcXtvE7HIlg4bysORtobWbNzSwJGAT8aNalmQX35w4Alnvltcyskvc8FTgbWBbGWMNuQJeGVE2KZ+RMrbcpIhJrxi/ewmPjlnJBuzT+cFVH3S5DjilsyZlzrgC4D/iKQNL1gXNuqZk9YWbFsy8fMLOlZrYQeAC41StvB8zxyr8F/uyci+rkrFqlBK7s2ojPFm1m70FNDBARiRXTV+/kodEL6JZeixcGd9Wd/+W4wjrmzDk3HhhfouyxoOePAo+WUu874PRwxuaHIRnpjJy5no/mb+S2s5v7HY6IiITZss37GPb2HJrWqcLrQ3tQOUlrZcrxKX0vRx0b1aBz4xpaMUBEJAZs2HWQoW/MolpyAm/dnkHNKkl+hyRRQslZORvSK52s7bnMWbfb71BERCRMduYeYeiIWRzJL+St2zNoWLOy3yFJFFFyVs6u6NyQlEoJmhggIlJBHcwr4Pa35rBpzyFG3NqTNmkpfockUUbJWTmrkpTAVV0b8fniLew+kOd3OCIiUobyC4v46XvzWLxxDy8O6UaPZrX9DkmikJIzHwzplU5eQREfztvodygiIlJGnHP88sNFZK7cwZ+uPp0L26f5HZJEKSVnPmjXoDpd02sycpYmBoiIVBR//nIFH83bxM8ubMOgjHS/w5EopuTMJ0My0lmz4wAzv9/ldygiInKKXp/6Pa/+Zw03n9GU+89r5Xc4EuWUnPnk8k4NSUnWxAARkWj3yYJNPPnZMi7pWJ/HB3TQ3f/llCk580nlpHgGdmvMl0u2sksTA0REotKUrB38YsxCejWvzTM3dCE+TomZnDolZz66sVc6eYVFjJ27we9QRETkBC3euJd73plLy7rVGH5LD5ITdfd/KRtKznzUOi2Fns1qMWrWBk0MEBGJIut2HuC2N2dRs0oSb92eQY3KiX6HJBWIkjOfDemVzvc5B5i+eqffoYiISAh27D/Cza/PorDI8fYdGaRVT/Y7JKlglJz57JKODahZJZH3ZmligIhIpMs9UsBtb85ix/4jjLi1Jy3rVvM7JKmAlJz5LDkxMDHg66Vbyck94nc4IiJyFHkFRdzzzlyWb9nPyzd1o2t6Lb9DkgpKyVkEGJyRTn6hY8wcrRggIhKJioocvxizkKnZOfxlYCfObVvP75CkAlNyFgFa1atGr+a1GTVrPUVFmhggIhJJnHP8cfxyxi3czC/7n8a13Rv7HZJUcErOIsSQXums33WQaatz/A5FRESCDJ+8htenfs9tZzfjnnNa+B2OxAAlZxGif8f61K6apBUDREQiyEfzNvLUFyu4onNDfntZe939X8qFkrMIUSkhnmu7N2bCsm1s33/Y73BERGJe5srt/N/YRZzdqg5PX9eJON39X8qJkrMIMjgjnYIiTQwQEfHbgg17+Mm782hbP4V/3tSdSgm6+7+UHyVnEaR5alXOallHEwNERHy0Zkcut785m9SUJN64rScpybr7v5QvJWcRZkivdDbuPsTkrB1+hyIiEnO27zvMLSNmYcA7t/eiXoru/i/lT8lZhLmofX1Sq2ligIhIedt3OJ+hb8xm14E83ritJ81Sq/odksQoJWcRJikhjmu7N2HSiu1s26eJASIi5eFwfiHD3p5D1rb9/POm7nRqXNPvkCSGKTmLQIMzmlBY5Hh/9ga/QxERqfAKixw/+2ABM9bs4unrOtO3TV2/Q5IYp+QsAjWtU5U+rVMZPWs9hZoYICISNs45fv/pUsYv3spvLmvHVV0b+R2SiJKzSDUkI53New/zn1Xb/Q5FJKqZ2RVmpnOdlOqlb7N5e/o6hvVtwZ19dPd/iQw6YUWoC9qnUTelkiYGiJy6G4AsM/urmZ0WaiUz629mK80s28weKWV7UzObZGaLzC2vNAsAACAASURBVCzTzBoHbRtqZlneY2gZtUPK2Puz1/P016u4umsjHukf8n8NkbBTchahEuPjuL5HY75ZsZ3New75HY5I1HLO3QR0BVYDb5rZdDMbZmYpR6tjZvHAS8AlQHtgsJm1L7Hb08DbzrlOwBPAU17d2sDvgF5ABvA7M6tVxs2SUzRx2TYe/WgxfdvU5a/X6u7/ElmUnEWwQT3TcaCJASKnyDm3DxgLjAYaAFcD88zs/qNUyQCynXNrnHN5Xr0rS+zTHvjGe/5t0PaLgQnOuV3Oud3ABKB/mTVGTtncdbu4d+Q8Tm9Ug1du7EZivP4USmRJ8DsAObomtavQt3Vd3p+9gfvPa0WCTiAiJ8zMBgC3Aa2At4EM59x2M6sCLANeKKVaIyD4W9FGAj1hwRYC1wDPEUj2UsyszlHqljrK3MyGAcMA0tLSyMzMDKlNubm5Ie8bzcLRzk25Rfxp5iFqJhl3tMln9vSpZfr+JyMWfp+x0EYou3YqOYtwQ3qlc/c7c/l25Q4ubJ/mdzgi0Wgg8IxzbnJwoXPuoJndcQrv+wvgRTO7FZgMbAIKT+QNnHPDgeEAPXr0cP369QupXmZmJqHuG83Kup1b9h7i0Ze/o0pyJcb+5Cya1K5SZu99KmLh9xkLbYSya6e6YiLc+afVI616JUbOXOd3KCLR6nFgVvELM6tsZs0AnHOTjlJnE9Ak6HVjr+wHzrnNzrlrnHNdgV97ZXtCqSvlb+/BfIaOmMX+wwW8eVvPiEnMREqj5CzCJcTHcUOPJmSu2sHG3Qf9DkckGo0BioJeF3plxzIbaG1mzc0sCRgEjAvewcxSg27R8Sgwwnv+FXCRmdXyJgJc5JWJTw7nF3Ln27NZm3OQ4bd0p0PDGn6HJHJMSs6iwA0Z6RiaGCBykhK8Qf0AeM+TjlXBOVcA3EcgqVoOfOCcW2pmT3hj2AD6ASvNbBWQBvzRq7sLeJJAgjcbeMIrEx8UFBZx/6j5zFm3m2du6MJZLVP9DknkuDTmLAo0qlmZfm3r8f7sDTxwfmvNLBI5MTvMbIBzbhyAmV0J5ByvknNuPDC+RNljQc/HEpgBWlrdEfy3J0184pzjt58sYcKybfx+QAcu69TA75BEQqK/8lFiSEY62/cfYdJyrRggcoLuAX5lZuvNbAPwS+Bun2OScvDMxCxGzdrAvee2ZOhZzfwORyRk6jmLEv3a1qVBjWRGzlpP/471/Q5HJGo451YDZ5hZNe91rs8hSTl4d8Y6np+UxfU9GvOLi9r6HY7ICQkpOTOzqsAh51yRmbUBTgO+cM7lhzU6+UFCfBw39GzCc5Oy2LDroGYaiZwAM7sM6AAkmwXuBO+ce8LXoCRsvlyyhd9+soTzT6vHn64+neLfuUi0CPWy5mQCJ7VGwNfAzcCbx6sUwtp0t5rZDjNb4D3uDNqmtelKuKFnEwwYNUvrbYqEysz+SWB9zfsBA64DmvoalITNjDU7eWD0Aro2qcmLQ7rp5t0SlUL9X2vOuYME7ob9snPuOgLfQo9eIbS16QDed8518R6veXW1Nl0pGtSozHmnpfHBnI3kFxYdv4KIAJzlnLsF2O2c+z1wJtDG55gkDFZs3cddb88hvXYVXh/ak8pJ8X6HJHJSQk7OzOxM4Ebgc6/seP/rQ1mb7mi0Nt1R3NgrnZzcI0xYts3vUESixWHv34Nm1hDIJ7C+plQgG3cfZOiIWVRNSuCt2zOoVfWYd0sRiWihJmcPEbjJ4r+9e/20ILDQ77GEur7cQDNbZGZjzaz4rtohr00Xa/q2qUujmpUZOVOXNkVC9KmZ1QT+BswD1gIjfY1IytSuA3ncMmIWh/IKeev2DBrVrOx3SCKnJKQJAc65/wD/AfDuiJ3jnHugDI7/KTDKOXfEzO4G3gLOC7XyyS4aDNG9CGuvugV8lJXD+59/Q1rVY+fX0dzOUMVCG0HtPBne+WqSt6zSh2b2GZDsnNtbJgcQ3x3MK+D2N2ezcfch3r2jF23rp/gdksgpC3W25kgC9woqJHDH6+pm9pxz7m/HqBbK2nQ7g16+Bvw1qG6/EnUzSx7gZBcNhuhehLVdt8N88udvWBPXgBv6tTvmvtHczlDFQhtB7TwZ3gzzl4Cu3usjwJEyeXPxXX5hEfe+N49FG/fwyk3dyWhe2++QRMpEqJc12zvn9gFXAV8AzQnM2DyWUNamCx73MYDAMimgtemOKa16Mhe0q8fYORvJK9DEAJHjmGRmA033U6hQnHM88uFivl25gz9cdToXd9D9H6XiCDU5SzSzRALJ2Tjv/mbuWBVCXJvuATNbamYLgQeAW726WpvuOIb0asrOA3l8tXSr36GIRLq7CSx0fsTM9pnZfjPb53dQcmr++tVKPpy3kYcuaM2QXul+hyNSpkJdIeBVAoNoFwKTzawpcNyTWwhr0z1KYKJBaXW1Nt0x9GmVSpPalXlv5jqu6NzQ73BEIpZzToOQKpg3pn3PK5mrGdIrnQfPb+13OCJlLtQJAc8DzwcVrTOzc8MTkoQiLs4Y1DOdv321ktU7cmlZt5rfIYlEJDPrW1q5c25yeccip+7ThZt54rNlXNQ+jSev7Ki7/0uFFNJlTTOrYWb/MLM53uPvQNUwxybHcV2PxiTEGaN0Ww2RY/l/QY/fEpgl/rifAcnJmZadw88+WEDPprV5fnBX4uOUmEnFFOqYsxHAfuB677EPeCNcQUlo6qUkc1GHNMbO28jh/EK/wxGJSM65K4IeFwIdgd1+xyUnZsmmvdz9zlxapFbjX7f0IDlRd/+XiivU5Kylc+533t3+13hLoLQIZ2ASmiEZTdlzMJ8vl2higEiINgLHvgeNRJT1Ow9y6xuzqZ6cwJu396RGlUS/QxIJq1AnBBwys97OuakAZnY2cCh8YUmozmpZh6Z1qjBy5nqu6qpFFERKMrMX+O/s8jigC4GVAiQK5OQe4ZYRMykoKmL0sDNpUEN3/5eKL9Tk7B7gbTOr4b3eDQwNT0hyIuLijMEZ6fz5ixVkbdtP6zRNTBMpYU7Q8wICq5JM8ysYCd2hAsdtb8xm677DvHfnGbSqp/ObxIaQLms65xY65zoDnYBOzrmunMAySxJe13ZvTGK8MXKWJgaIlGIs8K5z7i3n3HvADDOr4ndQcmx5BUW8OP8wy7bs46Uh3ejetJbfIYmUm1DHnAHgnNvnrRQA8LMwxCMnIbVaJS7uUJ8P52pigEgpJgHB18IqAxN9ikVC9PinS1m6s4inrjmd89ul+R2OSLk6oeSsBM1hjiBDeqWz73ABny/a4ncoIpEm2TmXW/zCe66eswiWvX0/o2at58KmCVzfo8nxK4hUMKeSnB1z+SYpX2e2qEOL1Kq6tCnyvw6YWbfiF2bWHU1oimjPTcqmcmI8V7RM8jsUEV8cc0KAme2n9CTM+PFlAvGZWWBiwB/HL2fl1v20ra+BsyKeh4AxZraZwLmrPnCDvyHJ0WRt289nizZzd9+WVE/SLYIkNh2z58w5l+Kcq17KI8U5F+pMTyknA7s3Jik+jpEz1/kdikjEcM7NBk4DfkJg5nk759xcf6OSo3luUhZVEuMZ1le30pTYdSqXNSXC1K6axCWn1+ej+Zs4lKeJASIAZnYvUNU5t8Q5twSoZmY/9Tsu+V+rtu3n88VbGHpWM2pX1SVNiV1KziqYIRnp7D9cwKeLNvsdikikuMs5t6f4hXNuN3CXj/HIUTw3MYuqSQnc1Ue9ZhLblJxVMBnNa9OqXjVGajF0kWLxZvbD7HIziwfULRNhVmzdx+eLt3DrWc2opV4ziXFKzioYM2NIRjoLNuxh2eZ9x68gUvF9CbxvZueb2fnAKOALn2OSEp6bmEVKpQTu7NPc71BEfKfkrAIa2K0xlRLiGDlLEwNEgF8C3xCYDHAPsBjNNo8oyzbv44slW7nt7GbUrKJeMxElZxVQjSqJXNapAR/P38zhAt2OTmKbc64ImAmsBTIILD233M+Y5MeenxToNbujt8aaiYCSswrrxl5NyT1SwL8WH2Hf4Xy/wxEpd2bWxsx+Z2YrgBeA9QDOuXOdcy/6G50UW7p5L18u3cptvZtTo0qi3+GIRAQlZxVU96a1+M1l7Zi/vZABL0xl6ea9fockUt5WEOglu9w519s59wKge8xEmOcmZpGSnMAdvTXWTKSYkrMK7M4+LXgkI5lD+YVc/fJ3jJ61Hud0mVNixjXAFuBbM/uXNxlAawJHkCWb9vL1sm3c0bs5NSqr10ykmJKzCq5NrXg+f6APGc1q88hHi/n5mIUczCvwOyyRsHPOfeycG0RgdYBvCSzjVM/MXjGzi/yNTgCenZhF9eQEblevmciPKDmLAanVKvHW7Rk8dEFr/j1/E1e9NI3s7bl+hyVSLpxzB5xzI51zVwCNgfkEZnCKjxZv3MvE5du4s08Lqier10wkmJKzGBEfZzx0QRvevj2Dnbl5DHhxKp8s2OR3WCLlyjm32zk33Dl3vt+xxLpnJ66iRuVEbj27md+hiEQcJWcxpk/runz+QB/aN6jOg6MX8JuPF3OkQGOkRaT8LNq4h0krtnNn7+bqNRMphZKzGFS/RjKjhp3BsL4teHfGeq59ZTobdh30OywRiRHPTsyiZhX1mokcjZKzGJUYH8evLm3H8Ju7s27nAS57fgoTlm3zOywRqeAWbNjDNyu2c1efFqSo10ykVErOYtxFHerz+QN9aFqnKne9PYc/jV9OfmGR32GJSAX17MRV1KqSyNCzmvkdikjEUnImNKldhTH3nMnNZzRl+OQ1DPnXDLbuPex3WCJSwcxbv5vMlTu4q28LqlVK8DsckYil5EwASE6M58mrOvLcoC4s3byPS5+fwpSsHX6HJSIVyLMTs6hdNYmhZzbzOxSRiKbkTH7kyi6NGHdfb1KrJXHLiFk8M2EVhUVaVUBETs3cdbuZvGoHw/q2oKp6zUSOScmZ/I9W9arx8b1nc3XXRjw3KYuhI2aRk3vE77BEJIo9O3EVtasmcfMZTf0ORSTiKTmTUlVJSuDv13Xmz9eczqy1u7js+SnMXrvL77BEJArNXbeLKVk53K1eM5GQKDmTozIzBmWk8++fnkXlxHgGDZ/B8MmrtXi6iJyQZyZkkVotiZvPVK+ZSCiUnMlxdWhYg3H39+ai9mn8afwK7np7LnsP5vsdlkhYmVl/M1tpZtlm9kgp29PN7Fszm29mi8zsUq88yczeMLPFZrbQzPqVe/ARZPbaXUzNzuHuvi2pkqReM5FQKDmTkFRPTuTlG7vx2OXtyVy5nctfnMLijXv9DkskLMwsHngJuARoDww2s/YldvsN8IFzriswCHjZK78LwDl3OnAh8Hczi9lz7TMTVpFarRI3aayZSMhi9oQhJ87MuL13cz6450wKCx0DX/mOd2as02VOqYgygGzn3BrnXB4wGriyxD4OqO49rwFs9p63B74BcM5tB/YAPcIecQSauWYn363eyT3ntKByUrzf4YhEDSVncsK6pdfi8wf6cFarOvz24yU8OHoBuUcK/A5LpCw1AjYEvd7olQV7HLjJzDYC44H7vfKFwAAzSzCz5kB3oEl4w41Mz0xcRd0U9ZqJnCgNAJCTUqtqEiOG9uSV/6zm71+vZMnmvbxyY3fa1k/xOzSR8jIYeNM593czOxN4x8w6AiOAdsAcYB3wHVBY2huY2TBgGEBaWhqZmZkhHTg3Nzfkff2yfGchM9YcZvBpScyYNuWk3iMa2lkWYqGdsdBGKLt2hjU5M7P+wHNAPPCac+7PR9lvIDAW6Omcm2NmzYDlwEpvlxnOuXvCGaucuLg4495zW9E1vSYPjFrAlS9N5Y9Xnc7A7o39Dk3kVG3ix71djb2yYHcA/QGcc9PNLBlI9S5lPly8k5l9B6wq7SDOueHAcIAePXq4fv36hRRcZmYmoe7rl1denU69FMfvbjyX5MSTu6QZDe0sC7HQzlhoI5RdO8N2WTPEAbWYWQrwIDCzxKbVzrku3kOJWQQ7q2Uq4x/oTefGNfn5mIU88uEiDueX2lEgEi1mA63NrLmZJREY8D+uxD7rgfMBzKwdkAzsMLMqZlbVK78QKHDOLSu/0P333eocZn6/i5/0a3nSiZlILAvnmLNQBtQCPAn8BdBK21GsXvVk3ruzF/ee25LRszdw9cvf8X3OAb/DEjkpzrkC4D7gKwK9+B8455aa2RNmNsDb7efAXWa2EBgF3OoCs2PqAfPMbDnwS+Dm8m+Bf5xzPDshi7TqlRicke53OCJRKZzJ2XEH1JpZN6CJc+7zUuo39+4f9B8z6xPGOKWMJMTH8f8uPo03bu3Jlr2HuOKFqXyxeIvfYYmcFOfceOdcG+dcS+fcH72yx5xz47zny5xzZzvnOns9/F975Wudc22dc+2ccxc459b52Y7y9t3qncxau4uf9mulXjORk+TbhADvvj//AG4tZfMWIN05t9PMugMfm1kH59y+Eu9xUoNpQYMTw8mA3/ZM4KUFR/jJe/O4sGkCN7RNIiHOwnI8/S4rllhpZ0XknOOZCauoXz2ZG3rG5ARVkTIRzuTseANqU4COQKaZAdQHxpnZAOfcHOAIgHNurpmtBtoQmP30g5MdTAsanFgerriwiKe+WM4b09ayo6gaL93YjUY1K5f5cfS7rFhipZ0V0bTsncxZt5snr+ygXjORUxDOy5rHHFDrnNvrnEt1zjVzzjUDZgADvNmadb0JBZhZC6A1sCaMsUoYJCXE8bsrOvDyjd3I3p7LZc9P4duV2/0OS0TCwDnHMxNX0aBGMter10zklIQtOQtxQO3R9AUWmdkCArfYuMc5tytcsUp4XXp6Az69vzf1qydz2xuz+dtXKygoLPI7LBEpQ1Oycpi7bjc/PbcVlRLUayZyKsI65sw5N57AnbODyx47yr79gp5/CHwYztikfDVPrcrH957N4+OW8tK3q5m7bjfPD+5KvZRkv0MTkVNU3GvWsEYy1/fQfQ5FTpWWb5Jyk5wYz58HduLp6zqzYMMeLnt+KtNX7/Q7LBE5Rf9ZtYP56/dw73nqNRMpC0rOpNxd270xn9zbm5TkBG58bQYvfZtNUZEWTxeJRoFesywa1azMdd011kykLCg5E1+0rZ/CuPt6c1mnhvztq5Xc8dZsdh/I8zssETlBmSt3sHDDHu47rxVJCfqTIlIW9EkS31SrlMDzg7rw5FUdmZa9k8tfmMr89bv9DktEQuSc49mJq2hUszIDu2msmUhZUXImvjIzbj6jKWN/ciZmcP2r0xkx9XsCq+CISCT7duV2Fm7cy/3qNRMpU/o0SUTo1Lgmn9/fh3Pa1OOJz5Zx78h57Duc73dYInIUgV6zLJrUrszA7uo1EylLSs4kYtSoksi/bunOo5ecxldLtzHghaks27zv+BVFpNxNWr6dRRv3cv+5rUmM158SkbKkT5REFDPj7nNaMuquMziUX8jVL0/j/dnrdZlTJII453h20irSa1fh6m6N/A5HpMJRciYRKaN5bT5/oA89m9Xmlx8u5hdjFnEwr8DvsEQEmLBsG0s27eP+81qp10wkDPSpkoiVWq0Sb92ewYPnt+aj+Ru56qVpZG/P9TsskZhWPNasaZ0qXN1VvWYi4aDkTCJafJzx8IVteOu2DHJy87jyxamMW7jZ77BEYtbXy7axbMs+7j+vNQnqNRMJC32yJCr0bVOX8Q/0oV2D6jwwaj6/+XgxRwoK/Q5LJKYUFQV6zZqnVuWqLg39DkekwlJyJlGjfo1kRg07g2F9W/DujPVc+8p0Nuw66HdYIjHj62VbWb4lMNZMvWYi4aNPl0SVxPg4fnVpO4bf3J21Ow9w2fNTmLdNEwVEwq2416xFalUGdFavmUg4KTmTqHRRh/p8fn8f0utU4fn5R/jl2EW6aa1IGH25dCsrtu7ngfM11kwk3PQJk6iVXqcKH/7kLC5rnsiYuRvo/8xkpmTt8DsskQqnqMjx3MQsWtatyhXqNRMJOyVnEtUqJcRzXdskPvzJWVROiufm12fx6EeLyT2iS50iZWX8ki2s3BboNYuPM7/DEanwlJxJhdA1vRafP9CHu/u2YPTs9Vz8zGSmZef4HZZI1CvuNWtVrxqXd1KvmUh5UHImFUZyYjyPXtqOsfecSVJCHDe+NpPffryEA+pFEzlpny/eQtb2XPWaiZQjJWdS4XRvWpvxD/Thjt7NeXfmOvo/N5kZa3b6HZZI1Ckscjw3KYvW9apx2ekN/A5HJGYoOZMKqXJSPL+9vD3vDzuTODMGDZ/B4+OWan1OkRPw2aLNZG/P5cEL1GsmUp6UnEmFltG8Nl882Idbz2rGm9+t5ZLnpjB77S6/wxKJeIVFjucnZdE2LYVLO6rXTKQ8KTmTCq9KUgKPD+jAqLvOoMg5rn91Ok9+tozD+Vr+SeRoPl24mdU7DvDgBa2JU6+ZSLlSciYx48yWdfjywb7c1Kspr0/9nkufm8Lcdbv9Dksk4hQUFvH8pCxOq59C/w71/Q5HJOYoOZOYUrVSAk9e1ZH37uzFkYIirvvndzw1frl60USCfLpoM2tyDvDg+eo1E/GDkjOJSWe3SuXLh/pwQ890Xp28hsuen8KCDXv8DkvEd4Fes2xOq5/Cxeo1E/GFkjOJWSnJiTx1zem8fXsGB/MKueblafzlyxUcKVAvmsSuTxZs5vucAzx0QRv1mon4RMmZxLy+bery1cN9ubZ7Y17JXM0VL0xl0Ub1oknsKSgs4oVvsmjfoDoXd0jzOxyRmKXkTASonpzIX6/tzBu39WTvoXyufvk7/v71SvIKivwOTaTc/Hv+JtbuPMhDF7TGTL1mIn5RciYS5Ny29fj6oXO4qksjXvgmmwEvTmXJpr1+hyUSdvmFRbzwTTYdG1XnwvbqNRPxk5IzkRJqVEnk79d35rVberDzQB5XvTSNZyeuIr9QvWhScf173ibW7zrIQ+e3Ua+ZiM+UnIkcxQXt05jwcF+u6NyQZydmceWL01i+ZZ/fYYmUufzCIl74NovTG9Xg/Hb1/A5HJOYpORM5hppVknjmhi68enN3tu8/zIAXp/LiN1kUqBdNKpCP5m1kw65DGmsmEiGUnImE4OIO9fn64XPo37EBT3+9iqtf/o6VW/f7HZbIKcsrCIw169y4Buedpl4zkUig5EwkRLWrJvHC4K68fGM3Nu05xBUvTOXlzGz1oklU+3DeRjbuPsRDF2ismUikUHImcoIuPb0BXz/cl/Pb1eOvX65k4D+nk71dvWgSffIKinjxm2y6NKlJv7Z1/Q5HRDxKzkROQmq1Srx8YzdeGNyVdTsPcOnzU3n1P6spLHJ+hyYSsjFzN7Bpj8aaiUQaJWciJ8nMuKJzQ75+uC/92tTlqS9WcN0/v2P1jly/QxM5riMFhbz0TTZd02tyThv1molEEiVnIqeoXkoyr97cnecGdWH1jgNc+twUXpuyRr1oEtHGzNnI5r2HNdZMJAKFNTkzs/5mttLMss3skWPsN9DMnJn1CCp71Ku30swuDmecIqfKzLiySyMmPNyX3q1S+cPnyxk0fDprcw74HZrI/zhSUMhL32bTLb0mfVun+h2OiJQQtuTMzOKBl4BLgPbAYDNrX8p+KcCDwMygsvbAIKAD0B942Xs/kYhWr3oyrw3twd+v68yKrfvp/9xk3pz2PUXqRZMI8sHsDWzZe5iHL1SvmUgkCmfPWQaQ7Zxb45zLA0YDV5ay35PAX4DDQWVXAqOdc0ecc98D2d77iUQ8M2Ng98ZMePgczmhRh8c/Xcbgf81g/c6DfocmJ+B4Pf9mlm5m35rZfDNbZGaXeuWJZvaWmS02s+Vm9mj5R390h/MLeenb1fRoWoverdRrJhKJwpmcNQI2BL3e6JX9wMy6AU2cc5+faF2RSFe/RjJv3NqTvw7sxLLN++j/3GTemb5WvWhRIMSe/98AHzjnuhLo6X/ZK78OqOScOx3oDtxtZs3KI+5QvD97A1v3qddMJJIl+HVgM4sD/gHcegrvMQwYBpCWlkZmZmbIdXNzc09o/2gVC+2M9DbWAx4/I5ERS47w20+WMnLKcm7vWIm6VU7su1Gkt7OsREg7f+j5BzCz4p7/ZUH7OKC697wGsDmovKqZJQCVgTwgIhZlPZxfyMuZ2WQ0q81ZLev4HY6IHEU4k7NNQJOg1429smIpQEcg0/v2Vh8YZ2YDQqgLgHNuODAcoEePHq5fv34hB5eZmcmJ7B+tYqGd0dLGa/o7Rs3awB8/X8bjM/L49WXtGZzRJOTei2hp56mKkHaW1nvfq8Q+jwNfm9n9QFXgAq98LIFEbgtQBXjYObcrrNGGaNSs9Wzbd4RnbuiiXjORCBbO5Gw20NrMmhNIrAYBQ4o3Ouf2Aj8MeDCzTOAXzrk5ZnYIGGlm/wAaAq2BWWGMVSTszIwhvdLp2yaV/xu7iF/9ezFfLNnCXwZ2omHNyn6HJyduMPCmc+7vZnYm8I6ZdSTQ61ZI4NxVC5hiZhOLe+GCnWzv/8n0LuYVOp6bfIi2teI4sn4xmRsiPzmLkF7UsIuFdsZCG6Hs2hm25Mw5V2Bm9wFfAfHACOfcUjN7ApjjnBt3jLpLzewDApcQCoB7nXOF4YpVpDw1rlWFd+/oxXuz1vPU+OVc/MxkfnN5O67vEXovmoRdKL33dxCYTc7/b+/eg6us7zyOv78JhEvCLSSEkAMECIEEIhBQbkIpaArIoE1melnXrTuO1bZbwW1rbXe3O7arO9uZrl1bp10voFWrriRYdQFLhXITvHAg3EspCZgABUSQay70t3+c45q1uGPSc/I853k+r5kzPOdhzpnvL+F8+Zzf8zy/xzm32cy6E/vC+VfAKudcC3DczDYBk4A/C2cdnf3vyOziko11nG7aw8/+ZjJTU+SQpk9mUZMuDOMMwxghceNM6jpnzrkVzrli59wI59z98X3fu1Iwc87Ncs693eb5/fHXjXLOrUxmnSKdLS3NuGXKUFYtmknpoN58u3on7GsuxgAADD9JREFUty59i6NnLnpdmsT878y/mWUQm/n/aN86DMwBMLMSoDtwIr5/dnx/JjAF2NdJdV/RpZbL/GzdH5gyPDtlgplImOkOASIeGtK/J8/ePoX7Fo7hzbpTVDy4nmVbG3BOV3R6yTnXCnww87+X2FWZu83s+/HzYgG+AdxuZrXAs8CtLvaLexjIMrPdxELeUufcjs4fxYee3nKIE2ebuPu6Yi/LEJFPyLOrNUUkJi3N+NK0Qj5VnMu3ltXyzRdqWbnzKA9UlpHXu7vX5YWWc24FsOIj+77XZnsPMP0KrztHbDkNX7jYfJmfrzvItBH9mTxcs2YiqUAzZyI+UZiTyXNfnso/LShl44GTVDy4nhe3NWoWTf4iT285xMlzTdx9vWbNRFKFwpmIj6SnGbddO4yVi2YwIjeTxc9v546ntnLibJPXpUkKutDcys/X/YFri3K4ujDb63JE5BNSOBPxoeG5Wbxw5zS+O380v91/gusfXMfqQy28d77Z69IkhTy95RDvnm9m8XUjvS5FRNpB4UzEp9LTjC/PHMGKu65lRG4Wz+xt5poHfsMdT73Nr3cfo7n1T16XKD52obmV/1x3kBkjc5ikWTORlKILAkR8rmhAL5bdOZVfvLyGw2n5/Gp7I6/u/iPZmRksHDeIyvICygr6aI00+T9+sfmDWTOdayaSahTORFKAmTG0dzpfmlXKvfNGs37/CWqijfzyjcM88Xo9IwdkUVke4bMTChjYR1d4ht35plYeWX+QmcW5TBzaz+tyRKSdFM5EUkzX9DTmlOQxpySPMxdaeGXnEWqijfzbqn388NV9XFuUQ1V5hIoxefTM0Ec8jJ7cXM+p883crXPNRFKSOrdICuvTsys3Tx7KzZOHUnfyPMujDVRHG1n8/HYyM9KZX5ZPZXmEycOySUvTYc8wOBefNZs1KpcJQzRrJpKKFM5EAmJYTiZ/XzGKxdcV82b9Kaq3NrBi51Fe2NpAQd8eVJYXUFkeYVhOptelShI9+Xo9py+06FwzkRSmcCYSMGlpxpTh/ZkyvD/fv3Esr+4+RnW0gZ+uPcBP1hygfEhfqiZGWFA2iD49u3pdriTQ2UstPLrhIJ8elcv4wX29LkdEOkjhTCTAemSkc9OEAm6aUMCxM5d4cXsj1Vsb+Iflu7jv5T1cX5JHZXkBM4tz6ZqulXVSnWbNRIJB4UwkJAb26c6dnxrBHTOHs6vxfaqjDfxqeyP/vfMoOVkZLBxXQNXEAkrze2tZjhT0/qUWHt1Qx5zRAxinWTORlKZwJhIyZkZZpA9lkT58d34Jv/3dcWqijTy1pZ4lm+oYPbAXVeURbhw/iAG68XrKeGJTPWcuatZMJAgUzkRCLKNLGhVjBlIxZiDvnW/mlR1HWBZt5P4Ve/nXlXuZMTKXqokRKkrz6N413ety5WOcudjCYxsOcl1JHmWRPl6XIyJ/IYUzEQGgX2YGt0wt5JaphRw4fo6aaAPLtzVy17Pb6NWtCzdcFVuW4+rCfjrs6TNLN9Xx/qVW3UNTJCAUzkTkzxQNyOKeuaP5ZsUothx8l2XRBl6qPcJzb73DkOyefHZCAVXlEYb07+l1qaF35mILj2+so6I0j7EFmjUTCQKFMxH5WGlpxrSiHKYV5fCDG1tZtSu2LMdDa37Pf7z2e64u7EdVeYT5V+XTu7uW5fDCko11nL3UyiLNmokEhsKZiHwimd26UDUxQtXECI2nL/Litkaqow3cW7OTf35pNxVjBlJZXsCMohy6aFmOTnHmQgtLNtbxmTF5jBmkWTORoFA4E5F2K+jbg699uoivzhpBbcMZqrfGDnu+XHuE3F7duGn8IKomRhg9sLfXpQba4xsPcrapVVdoigSMwpmIdJiZMX5wX8YP7ss/Lihh7b7jVEcbWbqpnkc31FGa35uqiREWjhtEbq9uXpcbKKcvNLNkUz3zxg6kJF8hWCRIFM5EJCG6dUln7th85o7N591zTbxce4TqaCM/eGUPD6zYy6ziXCrLI8wpGaBlORLgsQ11nGvSuWYiQaRwJiIJ1z+rG7dOH8at04ex/49nqY428OK2Rl7bd5ze3buwYNwgqsojlA/pq2U5OuBcs2PppjpuKMvXoWORAFI4E5GkKs7rxXfmlXDPZ0az6cBJaqIN1EQb+OUbhxmWk0ll/N6fg7O1LMcntaq+hQstl7lrjmbNRIJI4UxEOkV6mjGzOJeZxbmcvdTCyl3HqN7awI9W7+dHq/czZXg2leURerU6r0v1tVPnm/nNoRbml+UzamAvr8sRkSRQOBORTtere1c+N2kwn5s0mHdOXWD5tkZqog3cs2wHXx3XjXleF+hjz7/1Dk2XYbFmzUQCS+FMRDw1OLsnd80ZyddnFxE9/B7vHqj1uiRfu33GMNJO1TMyT7NmIkGllSJFxBfMjIlDs8lI1wUC/58u6WmMytbVriJBpnAmIiIi4iMKZyIiIiI+onAmIiIi4iMKZyIiIiI+onAmIiIi4iMKZyIiIiI+onAmIiIi4iMKZyIiIiI+onAmIiIi4iMKZyIiIiI+Ys45r2tICDM7ARxqx0tygJNJKsdPwjDOMIwRNM4rGeqcy01mMZ2lnT1M/xaCJQzjDMMYIUH9KzDhrL3M7G3n3CSv60i2MIwzDGMEjVM+FJafkcYZHGEYIyRunDqsKSIiIuIjCmciIiIiPhLmcPaI1wV0kjCMMwxjBI1TPhSWn5HGGRxhGCMkaJyhPedMRERExI/CPHMmIiIi4juhC2dmNtfMfmdmB8zsXq/rSRYzW2Jmx81sl9e1JIuZDTaztWa2x8x2m9kir2tKBjPrbmZvmlltfJz3eV1TsphZupltM7NXvK7Fr8LQw9S/gkP9q2NCFc7MLB14GJgHlAJfNLNSb6tKmieAuV4XkWStwDecc6XAFOBrAf19NgGznXPjgPHAXDOb4nFNybII2Ot1EX4Voh72BOpfQaH+1QGhCmfANcAB59xB51wz8Bxwo8c1JYVzbj1wyus6ksk5d9Q5F41vnyX2oSjwtqrEczHn4k+7xh+BO1nUzCLADcBjXtfiY6HoYepfwaH+1TFhC2cFwDttnjcQwA9DGJlZITABeMPbSpIjPl2+HTgOrHbOBXGcPwbuAf7kdSE+ph4WQOpfgZDQ/hW2cCYBZGZZQDWw2Dn3vtf1JINz7rJzbjwQAa4xs7Fe15RIZrYAOO6c2+p1LSKdSf0r9SWjf4UtnDUCg9s8j8T3SYoys67EGtszzrkar+tJNufcaWAtwTsfZzqw0MzqiR2qm21mT3tbki+phwWI+ldgJLx/hS2cvQWMNLNhZpYBfAF4yeOapIPMzIDHgb3OuX/3up5kMbNcM+sb3+4BXA/s87aqxHLOfcc5F3HOFRL7XK5xzv21x2X5kXpYQKh/BUcy+leowplzrhX4O+BVYidf/pdzbre3VSWHmT0LbAZGmVmDmd3mdU1JMB24hdi3lO3xx3yvi0qCfGCtme0g9p/zaueclpoIobD0MPWvQFH/6gDdIUBERETER0I1cyYiIiLidwpnIiIiIj6icCYiIiLiIwpnIiIiIj6icCYiIiLiIwpn4htmdrnNJeXbzezeBL53oZntStT7iYi0pf4lidTF6wJE2rgYv8WHiEiqUf+ShNHMmfiemdWb2Q/NbKeZvWlmRfH9hWa2xsx2mNlrZjYkvj/PzJabWW38MS3+Vulm9qiZ7TazX8dXqxYRSRr1L+kIhTPxkx4fOSzw+TZ/d8Y5Vwb8FPhxfN9PgCedc1cBzwAPxfc/BKxzzo0DyoEPVlAfCTzsnBsDnAaqkjweEQkP9S9JGN0hQHzDzM4557KusL8emO2cOxi/UfAx51x/MzsJ5DvnWuL7jzrncszsBBBxzjW1eY9CYrcNGRl//m2gq3PuX5I/MhEJOvUvSSTNnEmqcB+z3R5NbbYvo3MuRaRzqH9JuyicSar4fJs/N8e3Xwe+EN++GdgQ334N+AqAmaWbWZ/OKlJE5ArUv6RdlLzFT3qY2fY2z1c55z64HL2fme0g9u3xi/F9XweWmtm3gBPA38b3LwIeMbPbiH3D/ApwNOnVi0iYqX9JwuicM/G9+Dkbk5xzJ72uRUSkPdS/pCN0WFNERETERzRzJiIiIuIjmjkTERER8RGFMxEREREfUTgTERER8RGFMxEREREfUTgTERER8RGFMxEREREf+R9k+74jahs03QAAAABJRU5ErkJggg==\n",
"text/plain": [
"<Figure size 720x360 with 2 Axes>"
]
},
"metadata": {
"tags": [],
"needs_background": "light"
}
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "EFmc_f_tPnWV"
},
"source": [
""
],
"execution_count": null,
"outputs": []
},
{
"cell_type": "markdown",
"metadata": {
"id": "yGk9tU00PkCF"
},
"source": [
"###Optimización de RMSProp###\n",
"\n",
"Esta es una pequeña variación de AdaGrad y funciona mejor en la práctica, ya que aborda los problemas que deja abierta. Similar a AdaGrad, aquí también mantendremos la estimación del gradiente cuadrado, pero en lugar de dejar que esa estimación cuadrada se acumule durante el entrenamiento, más bien dejaremos que esa estimación se desvanezca gradualmente . Para lograr esto, multiplicamos la estimación actual de gradientes cuadrados con la tasa de disminución."
]
},
{
"cell_type": "code",
"metadata": {
"id": "sa_2P2FLBznN"
},
"source": [
"# RMSprop, lr = 0.001\n",
"optimizer = tf.keras.optimizers.RMSprop(learning_rate=0.001)\n",
"model.compile(\n",
" optimizer=optimizer,\n",
" loss=loss_fn,\n",
" metrics=['accuracy'],\n",
")"
],
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "MWJHrddQBzr7",
"colab": {
"base_uri": "https://localhost:8080/"
},
"outputId": "e9991a34-f38a-432d-8256-f1bdac8512de"
},
"source": [
"history = model.fit(x_train, y_train, epochs=5)"
],
"execution_count": null,
"outputs": [
{
"output_type": "stream",
"text": [
"Epoch 1/5\n",
"1875/1875 [==============================] - 5s 3ms/step - loss: 0.2379 - accuracy: 0.9482\n",
"Epoch 2/5\n",
"1875/1875 [==============================] - 5s 3ms/step - loss: 0.2099 - accuracy: 0.9578\n",
"Epoch 3/5\n",
"1875/1875 [==============================] - 5s 3ms/step - loss: 0.1978 - accuracy: 0.9617\n",
"Epoch 4/5\n",
"1875/1875 [==============================] - 5s 3ms/step - loss: 0.1892 - accuracy: 0.9644\n",
"Epoch 5/5\n",
"1875/1875 [==============================] - 6s 3ms/step - loss: 0.1848 - accuracy: 0.9660\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "7l0s2VIgBzvg",
"colab": {
"base_uri": "https://localhost:8080/"
},
"outputId": "04584f4d-ba54-45fb-9655-33e185179b23"
},
"source": [
"model.evaluate(x_test, y_test, verbose=2)"
],
"execution_count": null,
"outputs": [
{
"output_type": "stream",
"text": [
"313/313 - 0s - loss: 0.2857 - accuracy: 0.9666\n"
],
"name": "stdout"
},
{
"output_type": "execute_result",
"data": {
"text/plain": [
"[0.2857336401939392, 0.9666000008583069]"
]
},
"metadata": {
"tags": []
},
"execution_count": 46
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "ml7zvp6SBz5V",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 350
},
"outputId": "81b52957-8a32-411f-e029-ff9c0eaa2bdd"
},
"source": [
"_plot_graphics(history)"
],
"execution_count": null,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x360 with 2 Axes>"
]
},
"metadata": {
"tags": [],
"needs_background": "light"
}
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "m226FabPCHLz"
},
"source": [
"# RMSprop, lr = 0.1\n",
"optimizer = tf.keras.optimizers.RMSprop(learning_rate=0.1)\n",
"model.compile(\n",
" optimizer=optimizer,\n",
" loss=loss_fn,\n",
" metrics=['accuracy'],\n",
")"
],
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "Ml4QyUeWCHOd",
"colab": {
"base_uri": "https://localhost:8080/"
},
"outputId": "0f5806b0-c9dd-493d-b148-ec3bed086639"
},
"source": [
"history = model.fit(x_train, y_train, epochs=5)"
],
"execution_count": null,
"outputs": [
{
"output_type": "stream",
"text": [
"Epoch 1/5\n",
"1875/1875 [==============================] - 5s 3ms/step - loss: 2.1260 - accuracy: 0.8156\n",
"Epoch 2/5\n",
"1875/1875 [==============================] - 5s 3ms/step - loss: 1.6479 - accuracy: 0.8229\n",
"Epoch 3/5\n",
"1875/1875 [==============================] - 5s 3ms/step - loss: 1.6538 - accuracy: 0.8208\n",
"Epoch 4/5\n",
"1875/1875 [==============================] - 5s 3ms/step - loss: 1.5523 - accuracy: 0.8156\n",
"Epoch 5/5\n",
"1875/1875 [==============================] - 5s 3ms/step - loss: 1.5530 - accuracy: 0.8174\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "B7OcCFVzCHTB",
"colab": {
"base_uri": "https://localhost:8080/"
},
"outputId": "106ea0c4-640f-4efc-c4b9-14f875cec20e"
},
"source": [
"model.evaluate(x_test, y_test, verbose=2)"
],
"execution_count": null,
"outputs": [
{
"output_type": "stream",
"text": [
"313/313 - 0s - loss: 1.4570 - accuracy: 0.8348\n"
],
"name": "stdout"
},
{
"output_type": "execute_result",
"data": {
"text/plain": [
"[1.457041621208191, 0.8348000049591064]"
]
},
"metadata": {
"tags": []
},
"execution_count": 50
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "wg7Vs7OnCHVL",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 350
},
"outputId": "cbc863ec-d53a-4eac-ae6a-9a059c07e03c"
},
"source": [
"_plot_graphics(history)"
],
"execution_count": null,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x360 with 2 Axes>"
]
},
"metadata": {
"tags": [],
"needs_background": "light"
}
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "JkvJSIjvCQLU"
},
"source": [
"# RMSprop, lr = 0.5\n",
"optimizer = tf.keras.optimizers.RMSprop(learning_rate=0.5)\n",
"model.compile(\n",
" optimizer=optimizer,\n",
" loss=loss_fn,\n",
" metrics=['accuracy'],\n",
")"
],
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "G5gjBCbTCQOC",
"colab": {
"base_uri": "https://localhost:8080/"
},
"outputId": "71695fcc-44b3-45e5-d31f-9000158dbba0"
},
"source": [
"history = model.fit(x_train, y_train, epochs=5)"
],
"execution_count": null,
"outputs": [
{
"output_type": "stream",
"text": [
"Epoch 1/5\n",
"1875/1875 [==============================] - 5s 3ms/step - loss: 6.9870 - accuracy: 0.4498\n",
"Epoch 2/5\n",
"1875/1875 [==============================] - 5s 3ms/step - loss: 3.2610 - accuracy: 0.4272\n",
"Epoch 3/5\n",
"1875/1875 [==============================] - 5s 3ms/step - loss: 3.0668 - accuracy: 0.4648\n",
"Epoch 4/5\n",
"1875/1875 [==============================] - 5s 3ms/step - loss: 3.0486 - accuracy: 0.4670\n",
"Epoch 5/5\n",
"1875/1875 [==============================] - 5s 3ms/step - loss: 2.8397 - accuracy: 0.4968\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "MlVPG-s4CQWO",
"colab": {
"base_uri": "https://localhost:8080/"
},
"outputId": "510af381-37c0-4590-b3c5-08cf5e7073c8"
},
"source": [
"model.evaluate(x_test, y_test, verbose=2)"
],
"execution_count": null,
"outputs": [
{
"output_type": "stream",
"text": [
"313/313 - 0s - loss: 2.7541 - accuracy: 0.5704\n"
],
"name": "stdout"
},
{
"output_type": "execute_result",
"data": {
"text/plain": [
"[2.7541162967681885, 0.5703999996185303]"
]
},
"metadata": {
"tags": []
},
"execution_count": 54
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "1wnD3BNZCQY1",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 350
},
"outputId": "be39b904-2a24-43cc-ce9a-d5a346200cde"
},
"source": [
"_plot_graphics(history)"
],
"execution_count": null,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x360 with 2 Axes>"
]
},
"metadata": {
"tags": [],
"needs_background": "light"
}
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "UXRzXvGsCbkn"
},
"source": [
"# RMSprop, lr = 0.9\n",
"optimizer = tf.keras.optimizers.RMSprop(learning_rate=0.9)\n",
"model.compile(\n",
" optimizer=optimizer,\n",
" loss=loss_fn,\n",
" metrics=['accuracy'],\n",
")"
],
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "KRVB1QRJCbnR",
"colab": {
"base_uri": "https://localhost:8080/"
},
"outputId": "a046e19f-d935-434e-d513-7c13c32434c6"
},
"source": [
"history = model.fit(x_train, y_train, epochs=5)"
],
"execution_count": null,
"outputs": [
{
"output_type": "stream",
"text": [
"Epoch 1/5\n",
"1875/1875 [==============================] - 5s 3ms/step - loss: 3.4946 - accuracy: 0.3671\n",
"Epoch 2/5\n",
"1875/1875 [==============================] - 5s 3ms/step - loss: 3.2991 - accuracy: 0.3337\n",
"Epoch 3/5\n",
"1875/1875 [==============================] - 5s 3ms/step - loss: 3.2055 - accuracy: 0.3651\n",
"Epoch 4/5\n",
"1875/1875 [==============================] - 5s 3ms/step - loss: 3.6602 - accuracy: 0.3670\n",
"Epoch 5/5\n",
"1875/1875 [==============================] - 5s 2ms/step - loss: 3.0739 - accuracy: 0.3650\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "5qT-prAWCbtG",
"colab": {
"base_uri": "https://localhost:8080/"
},
"outputId": "280ef68f-ae1e-4512-858e-50e908a646dd"
},
"source": [
"model.evaluate(x_test, y_test, verbose=2)"
],
"execution_count": null,
"outputs": [
{
"output_type": "stream",
"text": [
"313/313 - 0s - loss: 2.2360 - accuracy: 0.3972\n"
],
"name": "stdout"
},
{
"output_type": "execute_result",
"data": {
"text/plain": [
"[2.2359585762023926, 0.39719998836517334]"
]
},
"metadata": {
"tags": []
},
"execution_count": 58
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "UG25AczuCbwO",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 350
},
"outputId": "9e3fb285-262e-4784-818c-880b6cc54993"
},
"source": [
"_plot_graphics(history)"
],
"execution_count": null,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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iXqxtpqGjD3BqCjcF/PzJtQvZtNDPitl5JCfYlLaIsHx2LstnO0X+A0Mh9tW38dxRZ/ryB8/V8r2na0hLdqZSr13iJGXrivNJicMEcySWhBnjoZ7+IZ492sR7Ny24UIS61OecPHbWtVgSNs2JCKUBHzvrWrwOxcSBoZBy6GzHhanFF+taaDnfD8DM3HQ2Lypk80I/mxf6WTJz6hW2pyYnsbHEz8YSP5+IKPIPj5R988lX+OaTr5CbnsLmRX6uXlzEtUuLWBrH3wtLwozx0HNHm+gbDLF15cwL23wZScz3Z1JV18qfXudhcCYuBAN+fnvgLGfbe5mdn+F1OGYSDQ6FOHC6g8oaZ2pxZ10LHb3OUlbFvkzKls9gy0Kn51ZJYVbcJhqxMrzIv+V8Py8cc4v8jzWxzS31mJGbzjWLC7l6SRHXLCliXkGml2G/hiVhxnio/FCDe2l24Wu2B0v8PHOkCVWddidW81qlgVf7hb117VyPozGx1Dc4xL76diprmi90o+/ud7vRF2Xz5jVz2LzIz6aFhXGVSMQLf3Yab1k7h7esdYr8T7Z087xb4P/s0SYecYv8FxZlc/XiQqfIf3HhiP3OJoslYcZ4JBRSyqsbuX5ZEWkpr61fCAZ8/Gr3KY43dxMoyvYowqlFRG4B/hFIBr6vql8b9vhdwMeAIaALuFNVD7qPrQW+B+QBIaBUVXtFpAKYA/S4L/NGVW2MZtwr5+SRmZpMVV2rJWFTTE//ELtPtLLDrefafaKNPrcb/fJZubzrymIn6Qr4mZlno6DjNd+fxR3+BdxRugBV5XBDp9vJv5lHdp/iJ26R/+q5+VzttsMoneQif0vCjPHIgdPtNHb2sXXFrNc9VhpwOqTvrGuxJCwKRCQZuB94A1AP7BSRR8NJlutBVf1Xd//bgPuAW0QkBfgx8EFV3SsihcBAxPPer6pVsYo91S06trqwxNfZO8Cu461uEX0L++rbGBhyutGvmpvH+zeXsHmRn9KA39ZZjDIRYcXsPFbMzuNPr1vEwFCIvSedIv/njjbxg2dr+d5TTpH/lSWvFvmvnRfbIn9LwozxyLbqRpIEblwx83WPLZmRQ35mKlV1rbw7ON+D6KacTcBRVa0BEJGHgLcDF5IwVe2I2D8bUPfrNwL7VHWvu1/zpEQcIRjw853fH6Grb5CcdDttJ5pdx1v5yvM9HH/8CUIKKUnCmuJ8/vjahWxZWMjGgI88W6ZsUqUmJxEM+AkG/HzyZqfI/8XaFrfIv5l/eOIVeCJc5F/INUuc6ctoX/Bgf83GeKS8uoErF/hG/MSblCRsLPFRddxGP6JkHnAy4n49sHn4TiLyMeBTQBpwk7t5GaAi8jgwA3hIVe+NeNoPRWQI+CXwt6qqRFmwxEdIYfeJVq5baispJJqf7DjOmfMhPnbjEjYvLOTKkgJbvDrOZKWlULZ8JmXLnQ/FzV19vFDTfCEp21bdADhXoV69uJANWUNReV/7LTDGA2fae3j5dAefvWXFRfcJBnz8/lAjzV19FOakT2J005eq3g/cLyLvA74IfBjnPHktUAp0A+UisktVy3GmIk+JSC5OEvZB4EeRrykidwJ3AsyaNYuKiooxx9PV1UVFRQU9g4oAv6jYzdCpqTdNFT7OqUhVqajuYWWBsjHtDIOnzvDiKa+jip2p9LPMAd7khzdtEs51Z3KweYiDzYOUHzzNwhUaleO0JMwYD7zaJf/1U5Fh4bqwXcdbeeMVsyclrinsFBA5r1vsbruYh4Dvul/XA0+rahOAiDwGXAmUq+opAFXtFJEHcaY9X5OEqeoDwAMAwWBQy8rKxhx0RUUF4f1XHXyGJkmlrGzLmJ+fKCKPc6o52dJNy+PbefPC9Cl7jJGm8s8yLBRSKp6KznEmRktZY6aY8uoGFvizWDIz56L7rJmXT1pyElXHbR3JKNgJLBWRhSKSBrwHeDRyBxFZGnH3LcAR9+vHgTUikuUW6d8AHBSRFBEpcp+bCrwVOBCrAygN+Nl9oo2BoVCs3sLEwAs1TgnhCn9iLqtjXi8pSUiKUl2YJWHGTLLu/kGeO9bM1pUzL1ngmZGazJrifKrsqrgJU9VB4OM4CVU18LCqviwiX3WvhAT4uIi8LCJ7cOrCPuw+txXnSsmdwB7gJVX9HyAdeFxE9rnbTwH/Fqtj2Fjio7t/iOozHaPvbOJGZU0L/uw05uZYvz/zejYdacwke/ZIE/2DoQsLdl9KMODjB8/W0jswREaqfZKeCFV9DHhs2LZ7Ir7+5CWe+2OcNhWR284DG6Mc5kUF3aatO+taWVtsy1klih01zWwK+EmSTq9DMXHIRsKMmWTl1Y3kpqdcqPm6lNISPwNDyt6TbZMQmYlnc/IzKfZlssuumE0YJ1u6OdXWw5ZFo/+tm+kpZkmYiGSIyIsistcd4v/KRfa7XUQOuvs8GKt4jIkHoZBSfqiR65fPeF2X/JFsLAkvWWN1YcapC9tZ10oMumCYGKisdRLmzYsKR9nTTFexHAnrA25S1XXAepzO06+5rMcthP08cI2qXgHcHcN4jPHcvlPtNHX18YYxTEUC+LLTWDIzx+rCDOAk5ec6+zjR0u11KGYMKmuaKchKZfmsXK9DMXEqZkmYOrrcu6nubfjHt48A97uFr0R7zTVj4k15dQPJSULZ8rE33CwN+Kg63kooZKMf0114CruqzkZGE8GOWrceLMmK8s3IYloTJiLJ7pVGjcCTqlo5bJdlwDIReU5EdrgL7BozZW2rbmRjiY+CrLE33NxY4qezd5BXGq2wd7pbOjOHvIwUW0khAZxq6+FkSw9bbCrSXEJMr45U1SFgvYgUAL8SkdWqGtlHJwVYCpThNE98WkTWqOprqpCj0XF6KpsOxwiJf5zNPSGqz/Rwx/K0Sx7H8OMMdTt9oR58opKbFkyN9eUS/WfplfByVjttJCzuVbr9wTZbUb65hElpUaGqbSKyHbiF1zYzrAcqVXUAqBWRV3CSsp3Dnh+VjtNT1XQ4Rkj84/zPF+qAl7nzrVexeMbFm7QOP05V5Ru7y+lIK6SsbEOsw5wUif6z9FIw4Gf74cO0nu/HN8K6oyY+VNa0kJ+ZysrZeV6HYuJYLK+OnOGOgCEimcAbgEPDdnsEZxQMt/P0MqAmVjEZ46Vt1Y0sLMq+ZAI2EhGhNGCjH8YRuZyViV87apsptXowM4pY1oTNAba73aR34tSE/WZYh+rHgWYROQhsB/5SVZtjGJMxnjjfN8gLx5rZuuLia0VeysYSP6faejjT3hPlyEyiWVvsLGe10+rC4taZ9h6ON3dbfzAzqphNR6rqPuB1cyfDOlQrzvIgn4pVHMbEg2eONNE/FGLrGFtTDFfqdkuvqmvlbesyoxmaSTAZqcmsnpdnV0jGscoaJ0G2onwzGuuYb8wkKK9uIC8j5cLSM+O1ak4eWWnJ1i/MAM6U5P76dnoHhrwOxYygsraZ3IwUVs6xejBzaZaEGRNjoZCy/XAjZctnkpp8eX9yKclJbFhQYHVhBnCK8/uHQuw/1e51KGYEO2pa2BTwk2z1YGYUloQZE2N76tto6upn68rLqwcL21ji59DZDjp7B6IUmUlU4eWsdtrIaNxp6Oiltum8TUWaMbEkzJgYu9Alf9nEkrDSgI+Qwu4Ttpj3dOfPTmPxjGyrC4tDO6w/mBkHS8KMibHy6kZKAz7ysybWaHXDAh9JgtWFGcCpC9tly1nFncraFnLTU1hl9WBmDCwJMyaG6lu7OXS2k5sv86rISDnpTqFvlfWHMjh1Ye09Axw91zX6zmbS7KhpJhjwkXKZ9Z9merHfEmNiqLzaWZP+cltTDFca8LP7RBsDQ6GovJ5JXEGrC4s7jZ291JyzejAzdpaEGRND26obWDQjm4VF2VF5vWDAR8/AEAdPd0Tl9UziKinMoign3erC4ki4P9hmS8LMGFkSZkyMdPYOsKOmOSpTkWHBEqfY10Y/THg5qyrrnB83KmubyU5LZvVcqwczY2NJmDEx8syRJgaG9LKXKhrJ7PwMin2Ztm6gAZy6sJMtPZxt7/U6FIPTHywY8Fs9mBkz+00xJka2VTeQn5l6oadTtJQG/Oysa8VZ9ctMZ+G6MBsN815TVx9HG7usHsyMiyVhxsTAUEipOHyOG5fPiPqn4mDAR1NXH8ebu6P6uibxrJqbR2ZqstWFxYFX68GsP5gZO0vCjImB3SdaaTnfH7WrIiNZXZgJS3WXs7KRMO9V1jaTlZbMmnn5XodiEoglYcbEwLbqRlKShBuWz4j6ay+dmUNeRorVhRnAmZI8eLqDrr5Br0OZ1nbUNLOxxHfZ68Oa6cl+W4yJgfLqBjYt9JOXMbEu+SNJShKCAb+NhBnAKc53lrOypNwrzV19vNJg9WBm/CwJMybKTjR3c6SxKyZTkWHBgI9j587Tcr4/Zu9hEsOGBQXuclaWhHnlxVrnA9EWqwcz42RJmDFRtq26AYCbV0avNcVw4bowm5I0uRmp7nJWNjLqlcraFjJTk1kzr8DrUEyCsSTMmCgrP9TAkpk5lBRGp0v+SNYW55OWnGSLeRvAqQuz5ay8E64HS0uxf6lmfOw3xpgo6ugdoLKmha0xHAUDyEhNZk1xvtWFjYOI3CIih0XkqIh8boTH7xKR/SKyR0SeFZFVEY+tFZEXRORld58Md/tG9/5REfknEZHJPKawYMBPd/8Q1WdsOavJ1nq+n0NnO20q0lwWS8KMiaKnXznHYEijulTRxQQDPvafaqd3YCjm75XoRCQZuB+4FVgFvDcyyXI9qKprVHU9cC9wn/vcFODHwF2qegVQBgy4z/ku8BFgqXu7JcaHMqJgwG3aanVhk66y1taLNJfPkjBjoqi8uhFfVipXLohul/yRBEv8DAwp++rbY/5eU8Am4Kiq1qhqP/AQ8PbIHVQ1chgpGwgvSfBGYJ+q7nX3a1bVIRGZA+Sp6g51li/4EfCOWB/ISObkZ1Lsy7S6MA9U1jaTkZrE2mLrD2bGz5IwY6JkcCjE9sON3Lh8JslJsZ+VCi+HZFOSYzIPOBlxv97d9hoi8jEROYYzEvYJd/MyQEXkcRF5SUT+KuI160d7zckSLPHZclYe2FHTwpULfKSnJHsdiklAKV4HYMxU8dKJNtq6B2LamiKSPzuNJTNzrDg/ilT1fuB+EXkf8EXgwzjnyWuBUqAbKBeRXcCYhiBF5E7gToBZs2ZRUVEx5ni6urrGvH9e/wDnOvv5+W+3MzMrsT5fj+c440lXv3LoTDfvWJI6avyJeozjZcc5PpaEGRMl5dUNpCYL1y8rmrT3DJb4eGz/GUIhJWkSRt8S2ClgfsT9YnfbxTyEU+8FzgjX06raBCAijwFX4tSJFY/2mqr6APAAQDAY1LKysjEHXVFRwVj3n3O2kx8dfJrkWcso21g8+hPiyHiOM5488fJZlF2856aNo9aEJeoxjpcd5/gk1sclY+LYtuoGNi8sJDcGXfIvJhjw09E7yJHGrkl7zwS1E1gqIgtFJA14D/Bo5A4isjTi7luAI+7XjwNrRCTLLdK/ATioqmeADhHZ4l4V+SHg17E+kIsJL2dldWGTp7K2hfSUJNbNt/5g5vJYEmZMFNQ1nefYufMxb00xXGnA6sLGQlUHgY/jJFTVwMOq+rKIfFVEbnN3+7jbgmIP8CmcqUhUtRXnSsmdwB7gJVX9H/c5HwW+DxwFjgG/naxjGi4pSdjo1oWZybGjppkNCwrISLV6MHN5bDrSmCh4tUv+5NSDhS3wZzEjN52quhY+sKVkUt870ajqY8Bjw7bdE/H1Jy/x3B/jTD8O314FrI5imBMSDPjZfvgwref78WWneR3OlNbeM8DBMx18cuvS0Xc25iJsJMyYKCivbmTZrBzm+7Mm9X1FhGCJjypbvsgApQFbzmqy7KxtQRU2L7T+YObyWRJmzAS19wyws65l0q6KHC4Y8FPf2sOZ9h5P3t/Ej7XF+aQmCzutLizmKmubSUtJYsMCqwczl8+SMGMm6KkLXfIntx4srNS6pRtXRmoya+bls8t+F2JuR00L6+dbPZiZGEvCjJmg8uoG/NlprJ8f+y75I1k5J4/M1GSbgjKAMyW5r96Ws4qljt4BXj7dzhZbqshMkCVhxkzA4FCIisPnJq1L/pebWgkAACAASURBVEhSk50pEbtC0oCzkkL/UIj9p2w5q1ipqmshpLBloS3abSbGkjBjJqDqeCvtPQOeTUWGBQN+qs900Nk7MPrOZkqz5axir7KmhbTkJDZMwhqxZmqLWRImIhki8qKI7HV773xlhH3+SETOicge9/ansYrHmFgor24gLTmJ65bN8DSO0oCPkMLuE22exmG8V5iTzuIZ2VYXFkM7appZNz+fzDSrBzMTE8uRsD7gJlVdB6wHbhGRLSPs9zNVXe/evh/DeIyJuvLqRjYv8pOT7m3LvQ0LfCQJ1qrCAE5dWNXxVkIhW8w72jp7BzhwusPqwUxUxCwJU0d4LZVU92ZnBDNl1Jzroqbp/KQ3aB1JTnoKK+fk2WLeBnCmJNt7Bjh6zpaziraq460MhdT6g5moiGlNmIgku0uANAJPqmrlCLu9S0T2icgvRGT+CI8bE5fKqxsBJn2poospDfjZfaKNgaGQ16EYj4WbtlpdWPRV1rSQmixcWWL9wczExXQORVWHgPUiUgD8SkRWq+qBiF3+G/ipqvaJyJ8B/wHcNPx1RORO4E6AWbNmUVFRMeYYurq6xrV/IpoOxwjxd5y/qOyhOEc4uvdFjkbxdS/3OLPOD9IzMMR//mY7i/Lju1Yl3n6WU01JYRZFOensqmvl/ZttOato2lHTzNriArLSbNU/M3GT8lukqm0ish24BTgQsb05YrfvA/de5PkPAA8ABINBLSsrG/U9Gzt7+dKvX+ZGf4i3jmH/RFZRUcFYvieJLp6Os717gKNPPMldNyyirGxFVF/7co9zRXsv/7K3HC1cRNm1C6MaU7TF089yKhIRSgM+65wfZef7Btl/qp27bljkdShmiojl1ZEz3BEwRCQTeANwaNg+cyLu3gZUR+v9+wdDPHukiQf29TFo0zMmyipeaWQopJ4tVTSS2fkZFPsyrS7MAE5d2MmWHho6er0OZcqwejATbbGsCZsDbBeRfcBOnJqw34jIV0XkNnefT7jtK/YCnwD+KFpvXuzL4qvvuIKjbSH+9alj0XpZYwDYVt1IUU4a64vjqy6kNOBnZ10rqnYNzHQXrguz5ayip7KmmZQkudCLzZiJiuXVkftUdYOqrlXV1ar6VXf7Par6qPv151X1ClVdp6o3quqhS7/q+Lxj/Tw2zU7m29uOsK/e+ieZ6BgYClFxuJEbl88kyaMu+RezscRHU1cfJ1q6vQ7FeGzVXGc5KyvOj54dNc2sKc4n2+OWNGbqmNId80WED1+RTlFOOnf/bA89/baWmpm4nXUtdPYOxtVUZNirV8XZ6Md0l5qcxPr5BVRZXVhUdPcPsq/e1os00TWlkzCA7FThm7evo+bcef7+t1ErOTPTWHl1o9Mlf2mR16G8ztKZOeRlpFhdmAGclRQOnu6gq2/Q61AS3q7jrQyGlM22XqSJoimfhAFcs6SIP75mIT964TgVhxu9DsckMFWlvLqBqxYXxuWURFKSEAz4bQrKAM6aoiGFPbac1YRV1rSQ7P59GRMt0yIJA/irW5azbFYOf/mLfbSc7/c6HJOgjp07T11zt+cLdl/KxhIfx86dt99zw4YFBSSJNW2Nhh01zayel+/5EmVmapk2SVhGajLfvmMDbd39/PV/7berx8xlKa9uAOCmOKwHCwvXhe2ydSSnvdyMVFbMzrO6sAnq6R9ib30bWxbZKJiJrmmThIFztdCn37ic3718ll/sqvc6HJOAyqsbWTknj3kFmV6HclFri/NJS06yujADOHVhu0+0Wb/ECXjpRCsDQ8oW6w9momxaJWEAH7luEZsW+vnyoy9zotku4zdj13q+n6rjLXE9FQnOqO/qeXlU2UiYwakL6+4fovpMp9ehJKzKmmaSBIIB6w9momvaJWHJScJ9t68jSYRPPbyHoZBNS5qxqXilkZASl60phisN+NlX30bvgLVlme7CiYPVhV2+HTUtrJ6XT25GqtehmClm2iVh4HTT/8rbr6DqeKt10zdjtq26kRm56aydl+91KKMKBvwMDCn76tu9DsV4bE5+JvMKMq0u7DL1Dgyx52Sb9QczMTEtkzCAP9gwj7esmcO3nnyF/faPyoyifzDE04fPcVMcdskfSXhZFRv9MODUhVXZclaX5aUTrfQPhaw/mImJaZuEiQh/9werKcxJ4+6f7bZu+uaSdta10Nk3yNY4rwcL82ensXhGtl0haQBnZLSxs4+TLT1eh5JwKmta3HowS8JM9E3bJAygICuNf3j3Oo6dO8/XrJu+uYRt1Q2kpSRxbRx2yb+Y0oCfqroWQlb3OO1ZXdjl21HTzKq5eeRnWj2Yib5pnYQBXLd0Bn90dYD/eOE4T71yzutwTBxyuuQ3cs3iQrLSEqdRYzDgp6N3kCONXV6HYjy2bGYuuRkpVhc2Tr0DQ+w+2WatKUzMTPskDOBzt65g6cwc/vLne2m1LuNmmKONXZxo6U6IqyIjldrox2uIyC0iclhEjorI50Z4/C4R2S8ie0TkWRFZ5W4PiEiPu32PiPxrxHMq3NcMPxaX89VJSUKwxKkLM2O352Qb/YMhNltRvokRS8Jw+ip96471tHb389e/sm765rW2VTvrjSZKPVjYAn8WRTnpVhcGiEgycD9wK7AKeG84yYrwoKquUdX1wL3AfRGPHVPV9e7trmHPe3/EY3G7OG0w4OdIY5d90ByHypoWRGCT1YOZGLEkzLV6Xj6fesNyfnvgLL986ZTX4Zg4Ul7dwBVz85iTH79d8kciIpQGfDYS5tgEHFXVGlXtBx4C3h65g6p2RNzNBqbUp7Gge8WsJeVjt6OmmZWz88jPsnowExuWhEW48/pFbAo43fRPtlg3fQMt5/t56URrwk1FhgUDfupbezjb3ut1KF6bB5yMuF/vbnsNEfmYiBzDGQn7RMRDC0Vkt4g8JSLXDXvaD92pyL8RkbjtX7JufgGpyWIrKYxR3+AQL51otf5gJqYSp8p4EiQnCd+8fR23/uMzfOrhPTx051UkJ0BPKBM72w85XfLjfamiiwmPflQdb+Gta+d6HE38U9X7gftF5H3AF4EPA2eABaraLCIbgUdE5Ap35Oz9qnpKRHKBXwIfBH4U+ZoicidwJ8CsWbOoqKgYczxdXV3j2n80JblC+d5atmSejdprRkO0jzMaDrcM0TcYIrv7NBUVE59ljsdjjAU7zvGxJGyY+f4svnLbFXz653v53tPH+GjZEq9DMh4qP9TAzNx0Vs+N/y75I1k1N4/M1GSq6lqnexJ2Cpgfcb/Y3XYxDwHfBVDVPqDP/XqXO1K2DKhS1VPu9k4ReRBn2vM1SZiqPgA8ABAMBrWsrGzMQVdUVDCe/UfzfHc1//5cHVuuuY6M1OSove5ERfs4o2F/+RFEXuFP3nY9BVlpE369eDzGWLDjHB+bjhzBO6+cx5vXzOZbT77CgVPWTX+66h8M8fQrTWxdmRhd8keSmpzEhgUFVhcGO4GlIrJQRNKA9wCPRu4gIksj7r4FOOJun+EW9iMii4ClQI2IpIhIkbs9FXgrcCDmRzIBwRIf/UMh9tt5bVQ7aptZPis3KgmYMRdjSdgIRIS/e8cafFlp3P2zPbYI8jRVWdtMV98gW1ckZj1YWDDgp/pMB119g16H4hlVHQQ+DjwOVAMPq+rLIvJVEbnN3e3jIvKyiOwBPoUzFQlwPbDP3f4L4C5VbQHSgcdFZB+wB2dk7d8m76jGL7yclbWquLT+wRC7jls9mIk9m468CF+2003/Qz94ka/99hBfvu0Kr0Myk6y8upH0lCSuWZI4XfJHEizxEVLYfaKV65bO8Docz6jqY8Bjw7bdE/H1Jy/yvF/i1HsN334e2BjlMGOqMCedxTOyqaprARZ7HU7c2lffRu9AiC2LrDWFiS0bCbuE65c53fT//fk6nrZu+tOKqrKtuoFrlxSRmRY/tTOXY8OCApIEdtrohwGCJX6qjrfaclaXUFnrTN9vsk75JsYsCRvF525dwZKZOXzGuulPK680dFHf2pOwrSki5WaksnJOnjv6Yaa7YMBHe88Ax87ZclYXs6PGqQfzZ1s9mIktS8JGkZGazLfvWE/L+X6+8Ih1058utlU3AInXJf9igiU+9pxsY2Ao5HUoxmOlbvd3Gxkd2cBQiKq6VpuKNJPCkrAxWD0vn794wzIe23+W/7Ju+tNCeXUDa+blMysvw+tQoiIY8NPdP0T1mY7RdzZTWkmhs5yVjYyObF99Oz0DQ7ZepJkUloSN0V03LKY04ONL1k1/ymvq6mP3ybYpMwoGzhQU2OiHca7+Dpb42HnckrCRVNY2A7BpoY2EmdizJGyMkpOE+25fD8CnH97LkBW1TlnbDzWiCjdPgXqwsDn5mRT7Mm30wwBOUn6ypYeGjmm/nNXr7KhpYenMHIpy0r0OxUwDloSNw3x/Fl++7QperGvhgadrvA7HxEh5dSOz8zK4Ym6e16FEVbDER9XxVqtrNBfqwqxf2GsNDIXYVddi/cHMpLEkbJzedeU8bl09m/uePGzd9KegvsEhnjlyjptWziSO12K+LMGAn3OdfZyw6fRpL7ycla2k8FoHTrVzvn+IzVaUbyaJJWHjJCL83z9wuun/hXXTn3J21LRwvn8oYRfsvpSpcFWciLxNROy8NUGpyUmsn19AldWFvUa4P9hm6w9mJomdzC6DLzuNb7x7HUcau/j67w55HY6JovLqBjJSk7h6cWJ3yR/J0pk55GWksCux//HeARwRkXtFZIXXwSSy0oCPg6en93JWw+2oaWbxjGxm5Fo9mJkcloRdphuWzeDDV5Xww+fqeOaIddOfClSV8upGrl0yg4zUxO6SP5KkJGFjiS+hR8JU9QPABuAY8O8i8oKI3CkiuR6HlnCCAT8hhT0n2rwOJS4MXugPZqNgZvLELAkTkQwReVFE9rqL4n7lEvu+S0RURIKxiicWPnfrShbPyOYzP99LW7d10090h852cqqtZ0pORYYFA36ONnbRksCrP6hqB85C2g8Bc4A/AF4SkT/3NLAE8+pyVgk9Mho1L7ujgtYfzEymWI6E9QE3qeo6YD1wi4hsGb6T+wn2k0BlDGOJicy0ZP7xPRto7urnC48csKvOEly52yX/phVTNwkL14XtOp6Yo2EicpuI/AqoAFKBTap6K7AO+LSXsSWa3IxUVszOS9jfhWgL9wfbYv3BzCSKWRKmjvDiZKnubaQs5f8AXwcSsmFNuJv+/+w7wyN7rJt+IttW3ci64nxmTpEu+SNZW5xParIkckH2u4BvqeoaVf2GqjYCqGo38CfehpZ4SgM+XjrRyqAtZ8WOmhYWFWVP6b9/E39iWhMmIskisgdoBJ5U1cphj18JzFfV/4llHLF21w2LCZb4uOeRl6lvtcv/E1FjZy9769umxILdl5KRmsyaefmJ3B/qy8CL4TsikikiAQBVLfcmpMS18cJyVp1eh+KpoZCys7bFpiLNpEuJ5Yur6hCwXkQKgF+JyGpVPQDgXmZ+H/BHo72OiNwJ3Akwa9YsKioqxhxDV1fXuPa/XHeUhPib+kH+5IGn+OymDJImscfUZB2j12J5nE/VD6AK+edPUFHh7YhmrH+es5L7eaJugCfKt5OW7E0vtAkc48+BqyPuD7nbSqMQ1rRTemE5qxbWFOd7HI13Dp7uoLNv0BbtNpMupklYmKq2ich24BbggLs5F1gNVLhNMWcDj4rIbapaNez5DwAPAASDQS0rKxvze1dUVDCe/SdCZ57kr36xj1eSFnDXDYsn5T1hco/RS7E8zp/8qIq5+e186G03ed6kNdY/z4GZDfy2toqCRes8Wx9vAseYoqoXripQ1X4RSYtaYNPMnPxM5hVksut4K3987UKvw/FMuB7M+oOZyRbLqyNnuCNgiEgm8AbgQlMtVW1X1SJVDahqANgBvC4BSyTv3ljMm66YxTefOMzLp62bfqLoHRji2SNNU7JL/kg2ljijHwlaF3ZORG4L3xGRtwNNHsaT8EoDPnbWtUzrC4t21DQTKMxidr7Vg5nJFcuasDnAdhHZB+zEqQn7jYh8NfIkOpWICH//zrUUWDf9hPLCsWZ6BoamfD1YmD87jcUzshO1Luwu4K9F5ISInAQ+C/yZxzEltI0BP42dfZxs6fE6FE8MhZQXa229SOONWF4duU9VN6jqWlVdrapfdbffo6qPjrB/WSKPgoX5s9O49w/X8kpDF/f+7rDX4Zgx2FbdQFZaMldNo5NwacBPVV0LoVBijX6o6jFV3QKsAlaq6tWqetTruBJZuC4sQUdGJ6z6TAcdvYO2XqTxxJiSMBHJDq/XJiLL3F49qbENLXHduHwmH7qqhB88V8uzR2ymJJ6pKr8/1Mi1S4qmZJf8i9lY4qOjd5Cj57pG3znOiMhbgI8CnxKRe0TkHq9jSmTLZuaSm5GS0CspTIStF2m8NNaRsKeBDBGZBzwBfBD491gFNRV83rrpJ4SXT3dwpr2Xm6fJVGTYq4t5J9boh4j8K876kX8OCPBuoMTToBJcUpIQLPFRlWC/C9Gyo6aZBf4s5hZkeh2KmYbGmoSJ2wzxncC/qOq7gStiF1biy0xL5tt3bKCpq48vWjf9uFVe3YgI3DiFu+SPpKQwi6Kc9ESsC7taVT8EtKrqV4CrgGUex5TwggE/Rxq7pt0HxtCFejCbijTeGHMSJiJXAe8Hwo1Vp8/czWVaU5zP3Tcv5Tf7zvDrPae9DseMoPxQA+uKC5iRm+51KJNKRC5cFZdgwitrdIvIXGAA5yIgMwFB94rZ6baE0aGznbT3DNhUpPHMWJOwu4HPA79S1ZdFZBGwPXZhTR133bCYjSU+/ubXBzjVNj2vPopXDR297Ktvn9ILdl/KxhIf9a09nG1PqBXD/tttffMN4CWgDnjQ04imgHXzC0hNlmlXF3ahP5iNhBmPjCkJU9WnVPU2Vf26W6DfpKqfiHFsU0JKchLfun09oZDy6Yf3JNzVaFPZ7w81Akyb1hTDhevCEuWqOPfcU66qbar6S5xasBWqaoX5E5SRmszqefnTri5sR00zxb5Min1ZXodipqmxXh35oIjkiUg2Tsf7gyLyl7ENbepYUJjFl952BTtqWvj+szVeh2Nc5dUNzCvIZMXsXK9D8cSquXlkpiYnTF2YqoaA+yPu96mqdUWOktKAn3317dOmv2HI+oOZODDW6chVqtoBvAP4LbAQ5wpJM0bvDhbzxlWz+IfHX6H6TIfX4Ux7vQNDPHu0ia3TpEv+SFKTk1g/vyBhRsJc5SLyLpmuP7QYCpb46B8KceDU9MhrX2nspLV7gM0eLd1lDIw9CUt1+4K9A3hUVQcAm1cbB6eb/hryMlO5+yHrpu+154420TsQmrZTkWGlAR8HT3fQ1TfodShj9Wc4C3b3iUiHiHSKyJg+1YjILSJyWESOisjnRnj8LhHZLyJ7RORZEVnlbg+ISI+7fY/bJiP8nI3uc46KyD8lcnIYXs5qutSFVdY4Hz5sJMx4aaxJ2PdwCmCzgadFpASw4ZxxKsxJ5xt/uJbDDZ38w+PWTd9L26obyU5LnvaXpgcDfkIKu08kxj9eVc1V1SRVTVPVPPd+3mjPE5FknKnMW3G67b83nGRFeFBV16jqeuBe4L6Ix46p6nr3dlfE9u8CHwGWurdbJnB4nirMSWfRjOxpUxe2o6aZeQWZzPdbPZjxzlgL8/9JVeep6pvVcRy4McaxTUk3rpjJB7Ys4PvP1vLcUeum7wWnS34D1y2dQXrK9O60smFBAUmSOKMfInL9SLcxPHUTcFRVa1S1H3gIeHvkDm7JRVg2o4z2i8gcIE9Vd6jTCPBHOLMFCau0xM+uE61T/gIiVaWytsWuijSeG2thfr6I3CciVe7tmzgnKXMZvvDmVSwqyubTD++lvXvA63CmnQOnOmjo6GPrNG1NESk3I5UVs/PYlTh1YX8Zcfsb4L+BL4/hefOAkxH3691tryEiHxORYzgjYZFXgC8Ukd0i8pSIXBfxmvWjvWYiCQZ8tHUPcCwBl7MajyONXbSc72eL9QczHksZ434/wLkq8nb3/geBH+J00DfjlJmWzLfuWM+7vvs8X/z1Af75vRu8Dmla2VbdMC275F9MacDHz3fVMzAUIjV5rBUK3lDVt0XeF5H5wLej+Pr3A/eLyPuALwIfBs4AC1S1WUQ2Ao+IyJhXDBGRO4E7AWbNmkVFRcWY4+nq6hrX/hMVOh8C4CdP7KBs/uQtDzzZx1l+wv3we+4IFRXHJuU9J/sYvWLHOT5jTcIWq+q7Iu5/RUT2TPjdp7F18wv4xNal3PfkK9y8ciZvX5/QH6ATSvmhBjbML6AoZ3p1yb+YYMDPf7xwnOozHawtLvA6nPGqB1aOYb9TwPyI+8Xutot5CKfeC1XtA/rcr3e5I2XL3OcXj/aaqvoA8ABAMBjUsrKyMYTrqKioYDz7T5Sq8o3d2+hIm0FZ2fpJe9/JPs6f/+Ql5uS38u5bb5y0q6Mn+xi9Ysc5PmP92NsjIteG74jINYC1f5+gj5YtZsOCAr74iHXTnyxn23s5cKpj2l8VGSkYSJyr4kTkn92rEP9JRL4DPIPTOX80O4GlIrJQRNKA9wCPDnvtpRF33wIccbfPcAv7cVcLWQrUqOoZoENEtrhXRX4I+PUED9FTIkKwxE/VFF6+yKkHa2bLosJp257GxI+xJmF34QzR14lIHfAdnEvFzQSkJCfx7TvWMxRSPvPw3ilfDBsPyg81AHCzJWEXzMnPZF5BZqLUhVUBu9zbC8BnVfUDoz1JVQeBjwOPA9XAw+4SbF8Vkdvc3T4uIi+7o/yfwpmKBLge2Odu/wVwl6qGv1kfBb4PHAWO4fRRTGjBgI8TLd00dCTUclZjduxcF01d/dYfzMSFMU1HqupeYJ2I5Ln3O0TkbmBfLIObDkoKs/nS21bx2V/u5/89W8tHrl/kdUhTWnl1I8W+TJbNyvE6lLhSGvDx3LFmVDXeRwd+AfSq6hA4rSdEJEtVu0d7oqo+Bjw2bNs9EV9/8iLP+yXwy4s8VgWsHnv48S8YXs6qrpW3rJ16a6PvsP5gJo6MqwpXVTsiLuP+VAzimZZuD87njatm8Y3HD1s3/Rjq6R/iuaNN3LxyVrwnGpMuGPBzrrOPEy2j5jJeKwcyI+5nAts8imVKumJuHhmpSYm2ksKY7ahpZlZeOiWF1h/MeG8il0LZf7Eoieym/xc/s276sfLs0Sb6BkPWmmIE4bqwBFhHMkNVL/RPcL+2/6ZRlJqcxIb5vkT4XRi3cH8wqwcz8WIiSZgVMEVRYU469/7hGg6d7eSbT1g3/Vgor24gJz2FzdYb6HWWzcwlNyMlEUY/zovIleE7bssIu6olykoDPl4+3Z5Iy1mNSU3Tec519tk5wMSNS9aEiUgnIydbwmunBEwU3LRiFu/f7HTTv3HFTK5eXOR1SFNGKKSUH2rk+mVFpKXEdy8sLyQlCcESXyJcIXk38HMROY1zHpoN3OFtSFPPRnc5qz0n2rh26dQ5D726XqQV5Zv4cMn/RuF12Ua45arqWHuMmXH4wltWEijM5jMP76W9x7rpR8v+U+2c6+xj6wq7KvJiggE/Rxu7aD3f73UoF6WqO4EVwP/GuWp7paru8jaqqedKdzmrBBgZHZcdNc3MyE1nYZEt+GLigw0JxJmstBS+dcd6Gjr7uOfXB7wOZ8oor24gybrkX1KwxKkL2xXHPaJE5GNAtqoeUNUDQI6IfNTruKaa8HJWU6kuzPqDmXhkSVgcWj+/gE/ctJRf7znNo3tPex3OlLCtupErF/jwZ6d5HUrcWje/gNRkYWd8j358RFXbwndUtRX4iIfxTFnBgI+XTrQyOBTyOpSoqGvupqGjz/qDmbhiSVic+tiNbjf9X+3ntHXTn5DTbT0cPGNd8keTkZrMmnn58T76kSwRwxhuJ3vLrGMgGPDT3T/EobOdXocSFZU1zYD1BzPxxZKwOJWSnMS3bl/PYEj5zM+tm/5ElB9qBOBma00xqmDAz/769nhuk/I74GcislVEtgI/ZQp0qY9HpReWs4rrkdEx21HTTFFOOotnWD2YiR+WhMWxQFE2f/PWVTx/rJkfPFfrdTgJq7y6gQX+LJbMtC75owmW+OgfCrH/VLvXoVzMZ4Hf4xTl3wXsx67UjonwclZxPjI6JuH+YJsX+a0ezMQVS8Li3HtK53Pzylnc+7vDHDpr3fTHq7t/kOePNbN15Uw7+Y7BxpL4Hv1Q1RBQCdQBm4CbcNaCNDEQDPjYWdeCamKPxJ9o6eZMey9brB7MxBlLwuKciPC1d60hLzOFux/aQ99g3E4TxaVnjjTRPxiyBbvHqNCdronD0Y90EfmSiBwC/hk4AaCqN6rqd7wNbeoKBvw0dvZR35rYdamVtl6kiVOWhCWAopx0vv6utW43/Ve8DiehlFc3kJueQmnAPgGPVbDEz67jrfFWh7gaZ9Trrap6rar+M2CfSGJsqtSF7ahppjA7zUoSTNyxJCxBbF05i/dtXsC/PVPDC8eavQ4nIYRCyu8PneP65TOsS/44BAM+2nsGOHqua/SdJ88x4AywXUT+zS3Kt/nlGAsvZ5UAKylclNWDmXhm/5kSyBfdbvqffniPddMfg731bTR19dlVkeMUHjWMs9GPNlV9D063/O04yxfNFJHvisgbvQ1t6kpKEjaW+KiKr9+Fcalv7eFUW4+tF2nikiVhCSSym/6XrJv+qMqrG0kSKFtmSdh4lBRmUZSTzq44HP1Q1fOq+qCqvg0oBnbjXDFpYqQ04OdIYxdt3fG7nNWl7LD+YCaOxSwJE5EMEXlRRPaKyMsi8pUR9rlLRPaLyB4ReVZEVsUqnqli/fwC/vymJTyy5zT/bd30L2lbdQPBEj8+65I/LiLuYt7x3TkfVW1V1QdUdavXsUxlibCc1aXsqGnBl5XKUqsHM3EoliNhfcBNqroOWA/cIiJbhu3zoKquUdX1wL3AfTGMZ8r4+I1LQ+jx2gAAIABJREFUWD+/gC/8aj9n2hP7qqVYqW/t5tDZTrbaVORlCQZ8nGzp4Wx7r9ehGI9dWM4qDkdGx6KytpnNCwtJSrJ6MBN/YpaEqSNc2Zvq3nTYPpGNr7KHP25GlpKcxLfuWM/AkNtNP8F7+MTC790u+bZU0eUJ14VVxflomIm9jNRkVs/LZ1cC/i7Ut3ZT39rD5kV2dbSJTzGtCRORZBHZAzQCT6pq5Qj7fExEjuGMhH0ilvFMJQvdbvrPHW3myeODXocTd7ZVNxIozLIlSi7Tqrl5ZKYmx2O/MOOB0oCfvSfjejmrEVl/MBPvUmL54qo6BKwXkQLgVyKyWlUPDNvnfuB+EXkf8EXgw8NfR0TuBO4EmDVrFhUVFWOOoaura1z7J5I5qqyfkcxDh/roeuAJ3r4klZQpPOQ+1p9lz6Dy/JFuti5I4amnnop9YFEWL7+zgVxl+4ETlOWdi/prx8sxmrEJlvh44OkaDpxqJ5hAPfd21DRTkJXK8lm5XodizIhimoSFqWqbiGwHbgEudlnfQ8B3L/L8B4AHAILBoJaVlY35vSsqKhjP/okmeNUA//vffs9/1wxwrCeT++5Yx4rZeV6HFRNj/Vn+7sAZBvUlPvzGjVy9uCj2gUVZvPzOvtR/mO9sP0rwqmvJSY/uqSJejtGMzavLWbUmVBJWWdvCpoDf6sFM3Irl1ZEz3BEwRCQTeANwaNg+SyPuvgU4Eqt4pqrcjFT+dE06D3xwI42dvdz2z8/x3YpjDMVXt/NJta26kdwM65I/UcGAn5DC7hM2JTndFeaks2hGdkLVhZ1u6+FESzebbSrSxLFY1oTNweluvQ/YiVMT9hsR+aqI3Obu83G3fcUe4FOMMBVpxuaNV8zm8buv56YVM/n67w5x+/deoK7pvNdhTbqhkLL9UCNly2eSmmxt8CZiw4ICkgSrCzMAlJb4qYq/5awuqrI23B/MPoyZ+BXLqyP3qeoGVV2rqqtV9avu9ntU9VH360+q6hWq/7+9e4+O6jzvPf59dEMCJDQCDBiBBgo2wU64jYDGN+LYKUlaJ2mS5tKkbU663Lhx4tx64qz25DhpV9fKPU1NcuL0pElzaZKexI2T+E6gdmoLEFeDwQaEuNlIoCtC6DZ6zh8zwmMFggSzZ8/l91mL5ZnNnq3ntYY9z7z72e/jS5ONePcEFU8hmDp5At94z3K+8o4lPN9ymtf/05N87+lmvIDuntxxtJO2MwNaJT8NKstLWTSzSndICgArohE6ewc5mF3trC6o4WA7VeUleVueIflBUwV5xsx4y7JaHv3ojcSiEf7Xz/fwZ9/eXDDria3f20JxkWmV/DSpj0bYfqSTofhw2KFIyF5atiQ3ZkY3HWpj5bypFKseTLKYkrA8NWtKBf/2P1by92++lsbmDl73lSe4f/uxvJ8VW7+3lfpohCkTS8MOJS+siNbQOxBn74unww5FQhadOpFpk8uyrafoeZ3o6qO5rVeXIiXrKQnLY2bGe1fX8dBdN3DVjEo++uOd3PH9bbT19IcdWiCOtvfyXMtpbtECrWlTHx25Ky77P3glWIl2VjU5USP4Uj2YivIluykJKwDRaZP4yV/9Pp9cu4hf72vlD776BI/uORF2WGm3fm8LoFXy02nWlApmV1fkRV2Yma01s+fM7ICZ3X2ev/+dvWzNbK6Z9ZjZJ1K2Nae8pjET4whTLBrhSHsvrd3Z3c6qoamNyvISXjFL9WCS3ZSEFYjiIuOONb/HAx+6jumV5dz+va18/Cc76e4bDDu0tFm/r5X50ycxb5pWyU+n+miELc0dOX0p28yKgXXA64HFwLtGJ1lcvJftl4GHznP41yRvLoqlO+5sE8uRurBNTYn1wVQPJtlOSViBWTSzip9/8DrufM0C7t9+jLVfeYKnDpwKO6zLdrpvkIamNl2KDMCKaA0nT/dztD2nb+5YCRxw9yZ3HyCxOPSbUnf4Xb1szezNwCGgoO/gvubKKspLi7L68nRrdx9Np86oX6TkBCVhBaispIhP/MHV/PSOV1NeWsy7/2UT9zywh7MDudUXLtWT+08xGHdeu0h3RaZbntSFzQaOpjw/ltz2MufrZWtmk4FPAp85z3EdeNTMtibbq+W10uIils2JZHVdWMOhxPt01TzVg0n2y0jbIslOy+ZG+NWHb+BzD+/jO08188TzJ/nSnyxh2dxI2KGN2+N7W5hSUXquvYqkz1VXVFJZXkLj4XbeuqI27HACdYFetvcAX3H3HrPfurx1vbsfN7MrgMfMbJ+7P5G6Q771vp1mA2x6YZCHH99AeUl6Lvelc5w/29NPeTGc2r+djQez53JkNv4ug6Bxjo+SsAJXUVbMPbddw62LZ/A3/7GTt37jKf56zQI+/NqFlJXkxkRpfNjZ+NxJXnP1dEq0Sn7aFRUZsbrsnv0Yg+PAnJTntcltF5Lay3YV8DYz+zxQDQybWZ+73+vuxwHcvdXM7idx2fNlSVi+9b61K0/yi4ObqYy+kusWpKc3azrH+fdbN7J6QYTX3rwyLcdLl2z8XQZB4xwffWIJANctmMbDH72RP15ey70bDvDmdf/NvhPdF39hFth+pIP2MwO6KzJAsWgN+1t76DgzEHYol2oLsNDM5plZGfBO4IHUHS7Uy9bdb3D3qLtHga8C/+ju95rZJDOrTL52EvA6YHfwQwnX8mQ7q2y8PN16uo+DJ89oaQrJGUrC5Jyq8lK++PYlfOvPYrSe7uOP/vk3OdEM/PG9rZQUGTddPT3sUPJWLHmZd2uW3xV3Ie4+BNwJPALsBX7i7nsus5ftDOA3ZrYT2Az8yt0fDmgIWaOyvJSrZ1Zl5czo5nP1YCrKl9ygy5HyW25dPIPlc2/kb+/fzece3sfje1v40tuXEM3SpR/W721h5bwaqsq1Sn5QlsypprTY2HK4nVsW5+aMo7s/CDw4atunUx7fNYZj3JPyuAlYksYQc0Z9NMJPtx5jKD6cVSUADU1tTCor5trZU8IORWRMsudfj2SVXGkGfqStl/2tPboUGbDy0sQH29YsnP2QzItFazgzEGffiexqZ7WpqZ0V0RpKsygxFPld9E6VC8qFZuCPJ1fJv+UVWpoiaPXRGnYd66JvMHeXMpH0yMZlS0719LO/tUf9IiWnKAmTi8rmZuDr97Ww4IrJ1E3Nzkul+SRWF2EgPswzx7vCDkVCdq6dVRbNjG7W+mCSg5SEyZhkYzPw7r5BNjW181rNgmXEyBps2fTBK+GJRSM0Hm7Pii9jkKgHqygt5lW1qgeT3KEkTMZlpBn43a8Pvxn4E8+fZGjY1aooQ6ZOnsD86ZNozKJLUBKeWLSGlu5+jnVkR3nCpqZ2YtGI6sEkp+jdKuNWXGR84Kbwm4Gv39tKZGIpy3Nwhf9cVV9XQ+PhDoazfNkSCV421YW1nxnguZbTWh9Mco6SMLlkYTYDH4oPs+G5Vl5z9RUUF2VPa5J8F4tG6Do7yIGTPWGHIiF7qZ1V+JenNx9qA7Q+mOQeJWFyWcJqBr7tSCedvYNamiLDYtHEh5zqwqSoyFhRF8mKy9MNTe2UlxbxqtrqsEMRGRclYZIWI83A/+LVUb7zVDNv/NqTbDsS3Af1+r0tlBYbN16Vnt51MjbRqROZNrksKz54JXz10Rqeb+mhszfcdlYNTW2sqIvkTL9bkRF6x0rajDQD/+FfrqJ/aJi3feMpvvDIPgaGhtP+sx7f28KqeVOp1Cr5GWVmxOpq2HJYSZi8dMdsmO2sOs4MsO/EaVZraQrJQUrCJO1evWAaD33kBt66vJZ1Gw7ypnX/zd4X09cMvPnUGQ6ePKOlKUISi0Y42n6Wlu6+sEORkC2pTbSzCrMubHNyVnaVivIlBykJk0BUlZfyhWQz8JOn+7jt3vQ1A39plXzVg4VBdWEyoiLZpzHMy9MNTW1MKCliyRytDya5R0mYBOrWxTN45CM3cssrZvC5h/fxJ998muZTZy7rmI/vbeGqGZOZUzMxTVHKeFxzZRXlpUVZsTSBhK8+WsPOo+G1s9rU1M7yuREmlBSH8vNFLoeSMAnc1MkT+PqfLuer71jK/stsBt7VO8iW5g7dFRmi0uIils1JrJYusiLZzmp3CO2sunoH2XuiW+uDSc5SEiYZYWa8edlsHvnojdTPq7nkZuAbn28lPuxq2B2y+miEZ1/opqd/KOxQJGSxkXZWIdSFbW5uxx1WqWm35CglYZJRs6ZU8N331fMPKc3Af7Zt7M3A1+9tpWZSGUvnaJX8MK2I1jDssONIZ9ihSMjCbGfV0NRGWUkRS+dofTDJTUrCJOPMjPesruPhj9zA1TMq+dhPxtYMfGjY2ahV8rPC8rnVFFl2tKyR8MXqIqG0s9p0qI1lc6opL1U9mOQmJWESmrqpk/jxOJqB7+8YprtvSJcis0BleSmLZlapLkyAxB2znb2DNJ3KXDurrrOD7HlB9WCS25SESahSm4FfcZFm4DtODlFWXMQNV00PIVIZLRaNsP1IJ0Px9C/GK7mlPrlsyZYMLlvSqHowyQNKwiQrLJpZxX9+8Do+dPMC/nPH8fM2A9/RGmfV/BomTygJKUpJFYvW0DsQZ++Lp8MORUI20s4qk5enG5raKCsuYvlc1YdK7lISJlmjrKSIj78u2Qy87OXNwA+e7KGl17VAaxapjyY+/FQXJmYjzbwzNxO26VA7S1UPJjkusCTMzMrNbLOZ7TSzPWb2mfPs8zEze9bMdpnZejOrCyoeyR1L51Tzqw/dwPuuSzQDf8PXnuTrGw4CqFVRFpk1pYLZ1RWh9g2U7FEfreFIey+tGWhn1d03yO7jXazWpUjJcUHOhPUDN7v7EmApsNbMVo/aZzsQc/dXAf8P+HyA8UgOqSgr5n//UaIZ+MDQMD/ddozayUZtRKvkZ5NYNMKW5vZLWnhX8su5dlYZSMq3Nncw7OoXKbkvsCTME0ZulSlN/vFR+2xw997k0wagNqh4JDeNNAP/qxvn88cLy8IOR0aJRWtoPd3P0fbxLbor+SeT7awaDrVRWmyqB5OcF2hNmJkVm9kOoBV4zN03/Y7d3w88FGQ8kpuqykv51BtewfIZKsjPNqoLkxGlxYlFUzNxebqhqZ0ltdVUlKkeTHJboJ9q7h4HlppZNXC/mV3r7rtH72dm7wFiwE3nO46Z3Q7cDjBjxgw2btw45hh6enrGtX8uKoQxgsaZjYbdqSiBXzy9h6mnD4z5dbk0Rhm7+mgNX994kDP9Q0wK6C7mnv4hdh/v4o6bfi+Q44tkUkamFty908w2AGuBlyVhZnYL8LfATe5+3iXT3f0+4D6AWCzma9asGfPP3rhxI+PZPxcVwhhB48xWq5o3c7zjLGvWnPc71Hnl2hhlbGLRGuLDB9hxtJPrFkwL5Gc0NrcTH3atDyZ5Ici7I6cnZ8AwswrgVmDfqH2WAd8EbnP31qBiEZHg1Edr2N/aQ8eZgbBDkZAtm1uNBdzOatOhdkqKEktiiOS6IGvCZgEbzGwXsIVETdgvzeyzZnZbcp8vAJOB/zCzHWb2QIDxiEgAYskPw2xfqsLM1prZc2Z2wMzuPs/ff8DMnkmei35jZotH/f1cM+sxs0+M9ZiFpirZzirI90JDUxuvqp3CxDLViEruC+xd7O67gGXn2f7plMe3BPXzRSQzlsypprTYaDzcwS2Ls3MxXTMrBtaRmJE/Bmwxswfc/dmU3X7o7v8nuf9twJdJlFCM+DIpNw+N8ZgFpz4a4adbjzEUH6akOL3f88/0D/HMsS5uv3F+Wo8rEhatmC8il6W8tJhrZ0+hMbvvkFwJHHD3JncfAH4EvCl1B3fvTnk6iZQldczszcAhYM94jlmIYtEazgzE2Xci/e2sth7uYGjYtT6Y5A0lYSJy2eqjNew61kXfYDzsUC5kNnA05fmx5LaXMbMPmtlBEgtHfzi5bTLwSWB0148xHbPQjFyeDqIubNOhNoqL7NzPEMl1uqguIpctVhfhviea2H2869zK6bnI3dcB68zs3cDfAX8O3AN8xd17zGzcxyzEJXamlhsPbXmOeYOHx7T/WMf5yPaz1FUaW57+zWVGmHm5+rscL41zfJSEichlW3Fu9qMjW5Ow48CclOe1yW0X8iPgG8nHq4C3mdnngWpg2Mz6gK1jOWYhLrFz/YntNDS1cdNNNzGWxHUs4+wdGOLwY4/y/uvns2bNojRFmjm5+rscL41zfHQ5UkQu29TJE5g/fVI214VtARaa2TwzKwPeCbzsbmwzW5jy9I3AfgB3v8Hdo+4eBb4K/KO73zuWYxaqWLSGlu5+jnWkr53VtsOdDMa1PpjkF82EiUha1NfV8PCeEwwPO0VF479sFyR3HzKzO4FHgGLg2+6+x8w+CzS6+wPAncnFoweBDhKXIsd9zEAHkiNGarYaD7czp2ZiWo6pejDJR0rCRCQtVkQj/LjxKAdP9rBwRmXY4fwWd38QeHDUttQlc+4awzHuudgxBa6aUUlleQlbmjt4y7LatByzoamNa6+sorK8NC3HE8kGuhwpImlRn6wF29Kc3Yu2SvCKkyvap+vy9NmBODuPdrFaS1NInlESJiJpEZ06kWmTy7K5LkwyKFYX4fmWHjp7L7+d1fYjHQzEh1UPJnlHSZiIpIWZEauroTHL2xdJZozcJbvtyOW/HxoOtVNkZOudtyKXTEmYiKRNLBrhSHsvLd19YYciIVtSm2hnlY7L0w1NbVxz5RSqVA8meUZJmIikzchMRaPqwgpeRVl62ln1DcbZcbST1boUKXlISZiIpM01V1ZRXloUSMsayT2xugg7j3XRP3Tp7ay2H+lkYGiYVfNUlC/5R0mYiKRNaXERS+dUs1V1YUJiZnRgaJjdx7su+RibDrVhBvXzNBMm+UdJmIikVX20hj0vdNHTPxR2KBKyWEo7q0vV0NTG4llVTKlQPZjkHyVhIpJWsWgNww47jnSGHYqEbOrkCcyfduntrPoG42w/0qn1wSRvKQkTkbRaPreaIku0rBGJRSNsPdzB8LCP+7U7j3bSPzTMKl2KlDylJExE0qqyvJSrZ1bpDkkBEjOjHb2DNJ3qGfdrNx1qxwxWKgmTPKUkTETSrj4aYduRDobiw2GHIiG7nHZWDU1tLJpZRfXEsnSHJZIVlISJSNrFojX0DsTZ++LpsEORkEWnTmTqpLJxL1vSPxRn25EOrQ8meU1JmIikXX00cVec6sLEzM7VhY3HrmNd9A1qfTDJb0rCRCTtZk2pYHZ1herCBEhckjzc1kvrONpZbWpqA1BRvuQ1JWEiEohYNMKW5nbcx39XnOSXc+2sxjEb1tDUzqKZlUQmqR5M8peSMBEJRCxaQ+vpfo62nw07FAnZSDursc6MDgwNs/Vwh9YHk7ynJExEAjGyWrrqwmSkndVY3wvPHO/k7GBclyIl7ykJE5FAXDWjksrykstqWSP5I9HOqpszY2hn1dCUSNa0PpjkOyVhIhKI4iJjRV3kklvWSH5ZURchPuzsOHrxdlYNTW1cNWMyUydPyEBkIuFREiYigamP1rC/tYfO3oGwQ5GQLa+LYMZF68IG46oHk8KhJExEArMiWRc23jWiJP9UlZeyaGbVRevCnjneRe9AXOuDSUFQEiYigVlSW01psakuTIBkO6vDv7ud1aZkPdgqrZQvBUBJmIgEpqKsmGtnT1FdmACJmdEzA3H2nbhwO6uGpjYWXDGZaaoHkwKgJExEAhWriyRb0MTDDkVCNtLM+0JJ+VB8mMbmdvWLlIKhJExEAhWL1jAQH2b38a6wQ5GQXVmdaGe15QI1grtf6OaM6sGkgCgJE5FAjSzaqrowgUQ7q8YLtLM61y9SM2FSIAJLwsys3Mw2m9lOM9tjZp85zz43mtk2Mxsys7cFFYuIhGfq5AnMnz6JrVo5X0gk5S3d/Rzr+O12Vg1NbcyfPokrKstDiEwk84KcCesHbnb3JcBSYK2ZrR61zxHgL4AfBhiHiIQsVheh8XAHw8PhNfM2s7Vm9pyZHTCzu8/z9x8ws2fMbIeZ/cbMFie3r0xu25H8UvmWlNc0p7ymMZPjyVUvNfN+eVKeqAfT+mBSWAJLwjyhJ/m0NPnHR+3T7O67gAvfrywiOS8WraGzd5CDJ3suvnMAzKwYWAe8HlgMvGskyUrxQ3d/pbsvBT4PfDm5fTcQS25fC3zTzEpSXvcad1/q7rFgR5EfLtTO6tkXuzndP6R+kVJQSi6+y6VLnvi2AguAde6+6RKPcztwO8CMGTPYuHHjmF/b09Mzrv1zUSGMETTOXDZ8JvE96wePNrBmTmkYY1wJHHD3JgAz+xHwJuDZkR3cvTtl/0kkvzS6e2/K9nJGfZmU8SkuMpbPjbB1VBI2sj6YZsKkkASahLl7HFhqZtXA/WZ2rbvvvoTj3AfcBxCLxXzNmjVjfu3GjRsZz/65qBDGCBpnLnN3vrj9cbonTGfNmqVhjHE2cDTl+TFg1eidzOyDwMeAMuDmlO2rgG8DdcB73X2kC7UDj5qZA99MnqvkIuqjEb746PN09Q4yZWIpkKgHmzdtEjOqVA8mhSPQJGyEu3ea2QYSU/njTsJEJLeZjTTzzu47JN19HbDOzN4N/B3w58ntm4BrzOwVwHfN7CF37wOud/fjZnYF8JiZ7XP3J1KPqZn831bSmVgz7l9/+V8svaKE7tM9PHXgDCtnluTleCF/f5ejaZzjE1gSZmbTgcFkAlYB3Ap8LqifJyLZrT5awyN7Wmjp7gvjxx8H5qQ8r01uu5AfAd8YvdHd95pZD3At0Ojux5PbW83sfhKXPZ8Y9RrN5I+yaiDOl7Y+Qn9VLWvWLOI7P1/P2aE+3nLdtaxZNjvs8AKRr7/L0TTO8Qny7shZwAYz2wVsAR5z91+a2WfN7DYAM6s3s2PA20kUu+4JMB4RCdG5u+LCmQ3bAiw0s3lmVga8E3ggdQczW5jy9I3A/uT2eSOF+GZWBywCms1skplVJrdPAl6HZvrHpKKsmGuunHKuLuy5jkTNoNYHk0IT2ExY8q7HZefZ/umUx1tIfCMVkTx3zZVVlJcW0Xi4nZsqM/uz3X3IzO4EHgGKgW+7+x4z+yyJGa0HgDvN7BZgEOggeSkSuB6428wGSdzJ/dfufsrM5pOodYXEufSH7v5wZkeWu+qjEb779GH6h+Lsa49TN3Uis6ZUhB2WSEZlpCZMRKS0uIilc6ppbO7gpldm/ue7+4PAg6O2pX4pvOsCr/se8L3zbG8ClqQ5zIIRi9bwrScPsetYF893xPnDJborUgqP2haJSMbUR2t49sVu+oa0ykOhW5FsZ/X9hsOcGdSlSClMSsJEJGNi0Rriw05Tl9ZnLnTTJk9g/rRJ/GLnCwCs0vpgUoCUhIlIxiybW40ZPN8RDzsUyQKxaIRhh+kVxuxq1YNJ4VESJiIZU1VeyqKZVexXEia8dMfsoprikCMRCYeSMBHJqPpohAOdwwzFdUmy0P3+/KmUFBmvnK4kTAqT7o4UkYz6y+vnc01JK8VFFnYoErI5NRN56lM3s6fx6bBDEQmFZsJEJKPmTp3IjElFJNfXkgJ3RWW53gtSsJSEiYiIiIRASZiIiIhICJSEiYiIiIRASZiIiIhICJSEiYiIiIRASZiIiIhICJSEiYiIiIRASZiIiIhICJSEiYiIiIRASZiIiIhICMzdw45hXMzsJHB4HC+ZBpwKKJxsUQhjBI0zn4x3jHXuPj2oYDJF568LKoRxFsIYQeM8nwuev3IuCRsvM2t091jYcQSpEMYIGmc+KYQxpkOh/H8qhHEWwhhB4xwvXY4UERERCYGSMBEREZEQFEISdl/YAWRAIYwRNM58UghjTIdC+f9UCOMshDGCxjkueV8TJiIiIpKNCmEmTERERCTr5G0SZmZrzew5MztgZneHHU8QzOzbZtZqZrvDjiUoZjbHzDaY2bNmtsfM7go7piCYWbmZbTaznclxfibsmIJiZsVmtt3Mfhl2LNmqEM5foHNYPtE57NLkZRJmZsXAOuD1wGLgXWa2ONyoAvEdYG3YQQRsCPi4uy8GVgMfzNPfZT9ws7svAZYCa81sdcgxBeUuYG/YQWSrAjp/gc5h+UTnsEuQl0kYsBI44O5N7j4A/Ah4U8gxpZ27PwG0hx1HkNz9RXfflnx8msQbf3a4UaWfJ/Qkn5Ym/+RdwaaZ1QJvBP4l7FiyWEGcv0DnsHyic9ilydckbDZwNOX5MfLwTV9ozCwKLAM2hRtJMJJT3DuAVuAxd8/HcX4V+J/AcNiBZDGdv/KUzmF5Ia3nsHxNwiTPmNlk4KfAR9y9O+x4guDucXdfCtQCK83s2rBjSicz+0Og1d23hh2LSKbpHJb7gjiH5WsSdhyYk/K8NrlNcpCZlZI4ef3A3X8WdjxBc/dOYAP5VytzHXCbmTWTuMR2s5l9P9yQspLOX3lG57C8kfZzWL4mYVuAhWY2z8zKgHcCD4Qck1wCMzPg/wJ73f3LYccTFDObbmbVyccVwK3AvnCjSi93/5S717p7lMS/yV+7+3tCDisb6fyVR3QOyx9BnMPyMglz9yHgTuAREkWQP3H3PeFGlX5m9u/A08DVZnbMzN4fdkwBuA54L4lvHDuSf94QdlABmAVsMLNdJD6EH3N3LeFQgArl/AU6h+UZncMugVbMFxEREQlBXs6EiYiIiGQ7JWEiIiIiIVASJiIiIhICJWEiIiIiIVASJiIiIhICJWGScWYWT7lVe4eZ3Z3GY0fNbHe6jicikkrnL0mnkrADkIJ0NtnaQkQk1+j8JWmjmTDJGmbWbGafN7NnzGyzmS1Ibo+a2a/NbJeZrTezucntM8zsfjPbmfzz6uShis3sW2a2x8weTa7eLCISGJ2/5FIoCZMwVIyazn9Hyt91ufsrgXtJdKsH+Gfgu+7+KuAHwNeS278G/Je7LwGWAyOrii8E1rn7NUAn8NaAxyMihUPnL0kbrZgvGWdmPe4++Tzbm4Gb3b0p2fD2hLuU03u9AAABBUlEQVRPNbNTwCx3H0xuf9Hdp5nZSaDW3ftTjhEl0S5jYfL5J4FSd/+H4EcmIvlO5y9JJ82ESbbxCzwej/6Ux3FU+ygimaHzl4yLkjDJNu9I+e/TycdPkehYD/CnwJPJx+uBOwDMrNjMpmQqSBGR89D5S8ZFGbaEocLMdqQ8f9jdR27zjpjZLhLfBt+V3PYh4F/N7G+Ak8D7ktvvAu4zs/eT+MZ4B/Bi4NGLSCHT+UvSRjVhkjWSNRUxdz8VdiwiIuOh85dcCl2OFBEREQmBZsJEREREQqCZMBEREZEQKAkTERERCYGSMBEREZEQKAkTERERCYGSMBEREZEQKAkTERERCcH/B7zcO9zyE5XAAAAAAElFTkSuQmCC\n",
"text/plain": [
"<Figure size 720x360 with 2 Axes>"
]
},
"metadata": {
"tags": [],
"needs_background": "light"
}
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "gjC6j3wuCkF1"
},
"source": [
"# RMSprop, lr = 1.5\n",
"optimizer = tf.keras.optimizers.RMSprop(learning_rate=1.5)\n",
"model.compile(\n",
" optimizer=optimizer,\n",
" loss=loss_fn,\n",
" metrics=['accuracy'],\n",
")"
],
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "FzEQy8DeCkIe",
"colab": {
"base_uri": "https://localhost:8080/"
},
"outputId": "c60d4d3b-3af7-448a-9aca-ae28ffd6bb9d"
},
"source": [
"history = model.fit(x_train, y_train, epochs=5)"
],
"execution_count": null,
"outputs": [
{
"output_type": "stream",
"text": [
"Epoch 1/5\n",
"1875/1875 [==============================] - 5s 2ms/step - loss: 3.8257 - accuracy: 0.2808\n",
"Epoch 2/5\n",
"1875/1875 [==============================] - 5s 2ms/step - loss: 3.4965 - accuracy: 0.2505\n",
"Epoch 3/5\n",
"1875/1875 [==============================] - 5s 2ms/step - loss: 3.4403 - accuracy: 0.2304\n",
"Epoch 4/5\n",
"1875/1875 [==============================] - 5s 3ms/step - loss: 3.6568 - accuracy: 0.2559\n",
"Epoch 5/5\n",
"1875/1875 [==============================] - 5s 3ms/step - loss: 3.0287 - accuracy: 0.2404\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "cVuTh9vjCkNs",
"colab": {
"base_uri": "https://localhost:8080/"
},
"outputId": "d0494188-d361-42c7-a4b2-04e632df838e"
},
"source": [
"model.evaluate(x_test, y_test, verbose=2)"
],
"execution_count": null,
"outputs": [
{
"output_type": "stream",
"text": [
"313/313 - 0s - loss: 2.2873 - accuracy: 0.2451\n"
],
"name": "stdout"
},
{
"output_type": "execute_result",
"data": {
"text/plain": [
"[2.2872860431671143, 0.2451000064611435]"
]
},
"metadata": {
"tags": []
},
"execution_count": 62
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "eTyU9-6CCkQJ",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 350
},
"outputId": "bf4082fb-aaef-432a-d714-4fe07699f914"
},
"source": [
"_plot_graphics(history)"
],
"execution_count": null,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x360 with 2 Axes>"
]
},
"metadata": {
"tags": [],
"needs_background": "light"
}
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "8WrNULE6-2f6"
},
"source": [
"**ADADELTA**\n",
"\n",
"Adadelta es una variación de AdaGrad en la que en vez de calcular el escalado del factor de entrenamiento de cada dimensión teniendo en cuenta el gradiente acumulado desde el principio de la ejecución, se restringe a una ventana de tamaño fijo de los últimos n gradientes."
]
},
{
"cell_type": "code",
"metadata": {
"id": "78Krd-xjyVC8"
},
"source": [
"# Adadelta, lr = 0.001\n",
"optimizer = tf.keras.optimizers.Adadelta(learning_rate=0.001)\n",
"model.compile(\n",
" optimizer=optimizer,\n",
" loss=loss_fn,\n",
" metrics=['accuracy'],\n",
")"
],
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "pcYjvRU8zZdQ",
"colab": {
"base_uri": "https://localhost:8080/"
},
"outputId": "bf34788e-0391-4818-ea03-234103bd0cd1"
},
"source": [
"history = model.fit(x_train, y_train, epochs=5)"
],
"execution_count": null,
"outputs": [
{
"output_type": "stream",
"text": [
"Epoch 1/5\n",
"1875/1875 [==============================] - 4s 2ms/step - loss: 2.2342 - accuracy: 0.2269\n",
"Epoch 2/5\n",
"1875/1875 [==============================] - 4s 2ms/step - loss: 2.2143 - accuracy: 0.2266\n",
"Epoch 3/5\n",
"1875/1875 [==============================] - 4s 2ms/step - loss: 2.2585 - accuracy: 0.2271\n",
"Epoch 4/5\n",
"1875/1875 [==============================] - 4s 2ms/step - loss: 2.1944 - accuracy: 0.2273\n",
"Epoch 5/5\n",
"1875/1875 [==============================] - 4s 2ms/step - loss: 2.2619 - accuracy: 0.2262\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "gDl9cJfvz3sN",
"colab": {
"base_uri": "https://localhost:8080/"
},
"outputId": "a2f53fd8-79a4-4172-809f-202ffc5a32b6"
},
"source": [
"model.evaluate(x_test, y_test, verbose=2)"
],
"execution_count": null,
"outputs": [
{
"output_type": "stream",
"text": [
"313/313 - 0s - loss: 2.2873 - accuracy: 0.2451\n"
],
"name": "stdout"
},
{
"output_type": "execute_result",
"data": {
"text/plain": [
"[2.287278413772583, 0.2451000064611435]"
]
},
"metadata": {
"tags": []
},
"execution_count": 66
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "gflzmCK80Teu",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 350
},
"outputId": "2b9d9af1-4c82-44de-a10e-baba77f8d2f3"
},
"source": [
"_plot_graphics(history)"
],
"execution_count": null,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x360 with 2 Axes>"
]
},
"metadata": {
"tags": [],
"needs_background": "light"
}
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "l4E17yzWzQUX"
},
"source": [
"# Adadelta, lr = 0.1\n",
"optimizer = tf.keras.optimizers.Adadelta(learning_rate=0.1)\n",
"model.compile(\n",
" optimizer=optimizer,\n",
" loss=loss_fn,\n",
" metrics=['accuracy'],\n",
")"
],
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "he9cCxPQzmYd",
"colab": {
"base_uri": "https://localhost:8080/"
},
"outputId": "0c94dd3f-efe2-4711-9844-03c9da427267"
},
"source": [
"history = model.fit(x_train, y_train, epochs=5)"
],
"execution_count": null,
"outputs": [
{
"output_type": "stream",
"text": [
"Epoch 1/5\n",
"1875/1875 [==============================] - 4s 2ms/step - loss: 2.2186 - accuracy: 0.2268\n",
"Epoch 2/5\n",
"1875/1875 [==============================] - 4s 2ms/step - loss: 2.1221 - accuracy: 0.2267\n",
"Epoch 3/5\n",
"1875/1875 [==============================] - 4s 2ms/step - loss: 2.0952 - accuracy: 0.2260\n",
"Epoch 4/5\n",
"1875/1875 [==============================] - 4s 2ms/step - loss: 2.0968 - accuracy: 0.2262\n",
"Epoch 5/5\n",
"1875/1875 [==============================] - 4s 2ms/step - loss: 2.0625 - accuracy: 0.2270\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "0JrbBMwpz7f9",
"colab": {
"base_uri": "https://localhost:8080/"
},
"outputId": "21d85399-a730-45e5-8a3f-6680c73f130a"
},
"source": [
"model.evaluate(x_test, y_test, verbose=2)"
],
"execution_count": null,
"outputs": [
{
"output_type": "stream",
"text": [
"313/313 - 0s - loss: 2.1179 - accuracy: 0.2452\n"
],
"name": "stdout"
},
{
"output_type": "execute_result",
"data": {
"text/plain": [
"[2.1179468631744385, 0.2451999932527542]"
]
},
"metadata": {
"tags": []
},
"execution_count": 70
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "9tP3YtS10XOs",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 350
},
"outputId": "1d19c3a5-08e6-4723-a94c-fdd0011bee23"
},
"source": [
"_plot_graphics(history)"
],
"execution_count": null,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x360 with 2 Axes>"
]
},
"metadata": {
"tags": [],
"needs_background": "light"
}
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "DRJ1T9xCzQ_-"
},
"source": [
"# Adadelta, lr = 0.5\n",
"optimizer = tf.keras.optimizers.Adadelta(learning_rate=0.5)\n",
"model.compile(\n",
" optimizer=optimizer,\n",
" loss=loss_fn,\n",
" metrics=['accuracy'],\n",
")"
],
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "uKeQ3gXkzo7s",
"colab": {
"base_uri": "https://localhost:8080/"
},
"outputId": "2ba5f979-6caa-4d92-8856-d7adaf11d1ea"
},
"source": [
"history = model.fit(x_train, y_train, epochs=5)"
],
"execution_count": null,
"outputs": [
{
"output_type": "stream",
"text": [
"Epoch 1/5\n",
"1875/1875 [==============================] - 5s 2ms/step - loss: 2.0543 - accuracy: 0.2256\n",
"Epoch 2/5\n",
"1875/1875 [==============================] - 4s 2ms/step - loss: 2.0417 - accuracy: 0.2322\n",
"Epoch 3/5\n",
"1875/1875 [==============================] - 4s 2ms/step - loss: 2.0793 - accuracy: 0.2322\n",
"Epoch 4/5\n",
"1875/1875 [==============================] - 4s 2ms/step - loss: 2.0784 - accuracy: 0.2315\n",
"Epoch 5/5\n",
"1875/1875 [==============================] - 4s 2ms/step - loss: 2.0677 - accuracy: 0.2316\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "8yRD75Y8z8XK",
"colab": {
"base_uri": "https://localhost:8080/"
},
"outputId": "8c38f72d-9b77-469d-ae99-b69bc4a03017"
},
"source": [
"model.evaluate(x_test, y_test, verbose=2)"
],
"execution_count": null,
"outputs": [
{
"output_type": "stream",
"text": [
"313/313 - 0s - loss: 2.1085 - accuracy: 0.2490\n"
],
"name": "stdout"
},
{
"output_type": "execute_result",
"data": {
"text/plain": [
"[2.108475685119629, 0.24899999797344208]"
]
},
"metadata": {
"tags": []
},
"execution_count": 74
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "kS7EY9Tb0Y_d",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 350
},
"outputId": "589060a2-426d-4d36-cb5c-62fa47945b42"
},
"source": [
"_plot_graphics(history)"
],
"execution_count": null,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x360 with 2 Axes>"
]
},
"metadata": {
"tags": [],
"needs_background": "light"
}
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "jHGVL4LkzRnO"
},
"source": [
"# Adadelta, lr = 0.9\n",
"optimizer = tf.keras.optimizers.Adadelta(learning_rate=0.9)\n",
"model.compile(\n",
" optimizer=optimizer,\n",
" loss=loss_fn,\n",
" metrics=['accuracy'],\n",
")"
],
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "yE1a1gsgzqW6",
"colab": {
"base_uri": "https://localhost:8080/"
},
"outputId": "c1729d59-2075-4ded-d5b3-4f832b0e4ad4"
},
"source": [
"history = model.fit(x_train, y_train, epochs=5)"
],
"execution_count": null,
"outputs": [
{
"output_type": "stream",
"text": [
"Epoch 1/5\n",
"1875/1875 [==============================] - 4s 2ms/step - loss: 2.0577 - accuracy: 0.2319\n",
"Epoch 2/5\n",
"1875/1875 [==============================] - 4s 2ms/step - loss: 2.0576 - accuracy: 0.2328\n",
"Epoch 3/5\n",
"1875/1875 [==============================] - 4s 2ms/step - loss: 2.0776 - accuracy: 0.2305\n",
"Epoch 4/5\n",
"1875/1875 [==============================] - 4s 2ms/step - loss: 2.0771 - accuracy: 0.2326\n",
"Epoch 5/5\n",
"1875/1875 [==============================] - 4s 2ms/step - loss: 2.0768 - accuracy: 0.2320\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "DsfI6fIKz9PL",
"colab": {
"base_uri": "https://localhost:8080/"
},
"outputId": "4a0355cd-45b0-420e-d0b7-852c4cd1eae1"
},
"source": [
"model.evaluate(x_test, y_test, verbose=2)"
],
"execution_count": null,
"outputs": [
{
"output_type": "stream",
"text": [
"313/313 - 0s - loss: 2.1063 - accuracy: 0.2488\n"
],
"name": "stdout"
},
{
"output_type": "execute_result",
"data": {
"text/plain": [
"[2.106341600418091, 0.24879999458789825]"
]
},
"metadata": {
"tags": []
},
"execution_count": 78
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "sPL2jYj90alb",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 350
},
"outputId": "9264f8dc-b941-4f1d-da4b-9c0b7b8e7581"
},
"source": [
"_plot_graphics(history)"
],
"execution_count": null,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x360 with 2 Axes>"
]
},
"metadata": {
"tags": [],
"needs_background": "light"
}
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "xbv97a8lzR2e"
},
"source": [
"# Adadelta, lr = 1.5\n",
"optimizer = tf.keras.optimizers.Adadelta(learning_rate=1.5)\n",
"model.compile(\n",
" optimizer=optimizer,\n",
" loss=loss_fn,\n",
" metrics=['accuracy'],\n",
")"
],
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "ElglX3ikzrX7",
"colab": {
"base_uri": "https://localhost:8080/"
},
"outputId": "74aad18d-0e4c-4ea6-ec86-c6d4709ec9c9"
},
"source": [
"history = model.fit(x_train, y_train, epochs=5)"
],
"execution_count": null,
"outputs": [
{
"output_type": "stream",
"text": [
"Epoch 1/5\n",
"1875/1875 [==============================] - 4s 2ms/step - loss: 2.0352 - accuracy: 0.2298\n",
"Epoch 2/5\n",
"1875/1875 [==============================] - 4s 2ms/step - loss: 2.0762 - accuracy: 0.2312\n",
"Epoch 3/5\n",
"1875/1875 [==============================] - 4s 2ms/step - loss: 2.0651 - accuracy: 0.2313\n",
"Epoch 4/5\n",
"1875/1875 [==============================] - 4s 2ms/step - loss: 2.0607 - accuracy: 0.2332\n",
"Epoch 5/5\n",
"1875/1875 [==============================] - 4s 2ms/step - loss: 2.0708 - accuracy: 0.2292\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "JzNd_M400GXt",
"colab": {
"base_uri": "https://localhost:8080/"
},
"outputId": "f8d262f9-a28f-41b5-c0fb-c42d46adbd43"
},
"source": [
"model.evaluate(x_test, y_test, verbose=2)"
],
"execution_count": null,
"outputs": [
{
"output_type": "stream",
"text": [
"313/313 - 0s - loss: 2.1016 - accuracy: 0.2487\n"
],
"name": "stdout"
},
{
"output_type": "execute_result",
"data": {
"text/plain": [
"[2.101562023162842, 0.24869999289512634]"
]
},
"metadata": {
"tags": []
},
"execution_count": 82
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "2xydwS-90bnq",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 350
},
"outputId": "1bd1f997-cea6-496b-fa9f-05dde4621fac"
},
"source": [
"_plot_graphics(history)"
],
"execution_count": null,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x360 with 2 Axes>"
]
},
"metadata": {
"tags": [],
"needs_background": "light"
}
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "Rj0ZIjLk9ohB"
},
"source": [
"###Adaptive Gradient Algorithm (AdaGrad)###\n",
"\n",
"El algoritmo AdaGrad introduce una variación muy interesante en el concepto de factor de entrenamiento: en vez de considerar un valor uniforme para todos los pesos, se mantiene un factor de entrenamiento específico para cada uno de ellos. Sería inviable calcular este valor de forma específica así que, partiendo del factor de entrenamiento inicial, AdaGrad lo escala y adapta para cada dimensión con respecto al gradiente acumulado en cada iteración."
]
},
{
"cell_type": "code",
"metadata": {
"id": "t_BkmZen1oNc"
},
"source": [
"# Adagrad, lr = 0.001\n",
"optimizer = tf.keras.optimizers.Adagrad(learning_rate=0.001)\n",
"model.compile(\n",
" optimizer=optimizer,\n",
" loss=loss_fn,\n",
" metrics=['accuracy'],\n",
")"
],
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "D_xQcHcs4dI0",
"colab": {
"base_uri": "https://localhost:8080/"
},
"outputId": "25b706e6-b579-44a5-98e8-c73b2aabe6dc"
},
"source": [
"history = model.fit(x_train, y_train, epochs=5)"
],
"execution_count": null,
"outputs": [
{
"output_type": "stream",
"text": [
"Epoch 1/5\n",
"1875/1875 [==============================] - 4s 2ms/step - loss: 2.0662 - accuracy: 0.2314\n",
"Epoch 2/5\n",
"1875/1875 [==============================] - 4s 2ms/step - loss: 2.0616 - accuracy: 0.2321\n",
"Epoch 3/5\n",
"1875/1875 [==============================] - 4s 2ms/step - loss: 2.0469 - accuracy: 0.2330\n",
"Epoch 4/5\n",
"1875/1875 [==============================] - 4s 2ms/step - loss: 2.0728 - accuracy: 0.2314\n",
"Epoch 5/5\n",
"1875/1875 [==============================] - 4s 2ms/step - loss: 2.0649 - accuracy: 0.2318\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "6-BGe5kX4gX5",
"colab": {
"base_uri": "https://localhost:8080/"
},
"outputId": "b57f9d4b-bae6-4e32-a6dc-f3912a5d3482"
},
"source": [
"model.evaluate(x_test, y_test, verbose=2)"
],
"execution_count": null,
"outputs": [
{
"output_type": "stream",
"text": [
"313/313 - 0s - loss: 2.1007 - accuracy: 0.2487\n"
],
"name": "stdout"
},
{
"output_type": "execute_result",
"data": {
"text/plain": [
"[2.1007018089294434, 0.24869999289512634]"
]
},
"metadata": {
"tags": []
},
"execution_count": 86
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "9WuJmJQl4mNY",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 350
},
"outputId": "940e9677-d0fb-46ca-bb63-46ba774da5d6"
},
"source": [
"_plot_graphics(history)"
],
"execution_count": null,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x360 with 2 Axes>"
]
},
"metadata": {
"tags": [],
"needs_background": "light"
}
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "HYjof3RS45Um"
},
"source": [
"# Adagrad, lr = 0.1\n",
"optimizer = tf.keras.optimizers.Adagrad(learning_rate=0.1)\n",
"model.compile(\n",
" optimizer=optimizer,\n",
" loss=loss_fn,\n",
" metrics=['accuracy'],\n",
")"
],
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "kF68OhqJ45Uo",
"colab": {
"base_uri": "https://localhost:8080/"
},
"outputId": "2dcd0013-45a1-4bd6-ab05-28ba90f42546"
},
"source": [
"history = model.fit(x_train, y_train, epochs=5)"
],
"execution_count": null,
"outputs": [
{
"output_type": "stream",
"text": [
"Epoch 1/5\n",
"1875/1875 [==============================] - 4s 2ms/step - loss: 2.0400 - accuracy: 0.2309\n",
"Epoch 2/5\n",
"1875/1875 [==============================] - 4s 2ms/step - loss: 2.0334 - accuracy: 0.2292\n",
"Epoch 3/5\n",
"1875/1875 [==============================] - 4s 2ms/step - loss: 2.0287 - accuracy: 0.2300\n",
"Epoch 4/5\n",
"1875/1875 [==============================] - 4s 2ms/step - loss: 2.0188 - accuracy: 0.2303\n",
"Epoch 5/5\n",
"1875/1875 [==============================] - 4s 2ms/step - loss: 2.0208 - accuracy: 0.2306\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "P-B3fAEr45Up",
"colab": {
"base_uri": "https://localhost:8080/"
},
"outputId": "393da589-6d12-4e0b-ddb7-19ce384eb33a"
},
"source": [
"model.evaluate(x_test, y_test, verbose=2)"
],
"execution_count": null,
"outputs": [
{
"output_type": "stream",
"text": [
"313/313 - 0s - loss: 2.0544 - accuracy: 0.2473\n"
],
"name": "stdout"
},
{
"output_type": "execute_result",
"data": {
"text/plain": [
"[2.054429769515991, 0.24729999899864197]"
]
},
"metadata": {
"tags": []
},
"execution_count": 90
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "RwpK7WKZ45Up",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 350
},
"outputId": "58ec2bde-9b86-458e-d486-860adf2ce8d3"
},
"source": [
"_plot_graphics(history)"
],
"execution_count": null,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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dHy28PKwXmfuP8NdPVmm9m1IqYKS6XRSVwuodh5wORSnlJ/78k+ws4CbgAnsW8uUicomIjBaR0fYxs4HNwEZgItYj0hO5E3jTPmcT8GV1B96/bQPuG9SBT5fv4KN0rXdTSgWGlOREANIzDzgciVLKX/z2HNAY8wNQZYGaPTJ0zAmOeRd41+tzOtD19COs2pjz27Foy37+NmsNPVu66Ngkzt9fqZRSp6VRXDRJscKSzIOMOtfpaJRS/qBFEJUIDxNeuq4X9aIjufP9pRwp0JFaSqnar70rnKVbD2qZh1JBShO3KjSKi+blYT3ZvO8I/2/maqfDUUqpE2rvCuPAkUI27zvidChKKT/QxO0EzmrXkLsvaM/HGduZpvVuSqlarn2CNY2R1rkpFZw0cfPBvQPb069NIo/PXMPPu3WOJKVU7dW0ruCKjWRJ5kGnQ1FK+YEmbj4IDxNeGdaLutHhjJmSQV5hidMhKaVUhUQEjzuRpVs1cVMqGGni5qPG8TH8+7qe/Lwnl7/N0no3pVTtlep2sWXfEfbmFDgdilKqmmnidhLOad+IMQPa8VF6Fp8syzrxCUop5YCy+dyWbtU6N6WCjSZuJ+m+Qe3p407ksU9Ws3FPrtPhKKXUb3RtHk90RJjWuSkVhDRxO0kR4WG8MrwXMZHh3DUlg/wirXdTStUu0RHh9GiZQLrWuSkVdDRxOwVN6sfw4tAerN+Vw98/W+N0OEop9RueZBdrth/iaKFOHq5UMNHE7RQN6NiYOwa0Zeribcxcvt3pcJRS6jip7kSKSw3Lt2U7HYpSqhpp4nYaHvhdBzzJLv7y8So279V6N6VU7dG7lQsRWKp1bkoFFU3cTkNZvVtkRBhjpizTejelVK1RPzaSjklxLNE6N6WCiiZup6lZQh1eHNqDdTsP8+QXa50ORymljklJdpGx9SAlpbrgvFLBQhO3anBBpyRGnduG9xb+wucrdzgdjlJKAVadW25BMet3HXY6FKVUNdHErZo8eFFHerVK4JEZq8jcd8TpcJRSCo/bBaDLXykVRDRxqyaR4WG8OrwX4WHCXVMzKCjWejelahMRGSwiG0Rko4g8UsH++0VkrYisFJE5IpJsb08WkQwRWS4ia0RktNc5KSKyyr7mKyIi9vYP7eOXi0imiCy3t7tFJM9r3zh/trl5Qh2a1o/RiXiVCiKauFWjFq5Ynh/Sg9XbD/PPL9Y5HY5SyiYi4cDrwMVAF2C4iHQpd9gywGOM6Q5MB561t+8E+htjegJ9gUdEpJm9byxwG9Defg0GMMZcZ4zpaZ8zA/jY63s2le0zxozGj0SElGQXS7YcwBitc1MqGGjiVs1+1yWJkWe3ZtKCrXy5aqfT4SilLH2AjcaYzcaYQuAD4ArvA4wxc40xR+2PC4EW9vZCY0zZau3R2PdNEWkKxBtjFhorK5oMXOl9TbsHbigw1T/NOrFUdyK7DuezPTvPqRCUUtVIEzc/eHhwJ3q0TOChGSv5Zf/RE5+glPK35sA2r89Z9rbKjAS+LPsgIi1FZKV9jWeMMTvs87NOcM1zgN3GmJ+9trUWkWUi8p2InHPyTTk5WuemVHCJcDqAYBQVEcZrw3txySvfc9fUDKaN7k90RLjTYSmlfCAiNwIe4LyybcaYbUB3+xHppyIy3cfLDef43radQCtjzH4RSbGvdYYx5rhhnyIyChgFkJSURFpams/x5+bmHnd8qTHEhMPM+aupn/1z5ScGkPJtDFbazuBRnW3UxM1PWibG8ty1PRj93lKe/nI9f7vsDKdDUiqUbQdaen1uYW87jogMAh4DzvN6PHqMMWaHiKzG6kmbb1+nwmuKSARwNZDidX4BUGC/Xyoim4AOQHq575kATADweDxmwIABPjc0LS2N8senbl7EjpwCBgw41+fr1GYVtTEYaTuDR3W2UR+V+tHgrk24+Uw378zP5Ks1u5wOR6lQtgRoLyKtRSQKGAbM8j5ARHoB44HLjTF7vLa3EJE69nsXcDawwRizEzgsIv3sWrYRwEyvSw4C1htjsryu1cgeKIGItMEa0LC5+pt7vFR3Iht253Aor8jfX6WU8jNN3Pzs0Us60a15fR6ctoJtB7TeTSknGGOKgbuAr4B1wEfGmDUi8g8Rudw+7DmgHjDNnqqjLLHrDCwSkRXAd8DzxphV9r47gTeBjcAmvOrisJLD8oMSzgVW2tODTAdGG2MOVGdbK+JxuzAGMn7ROjelAp0+KvWz6IhwXr++N79/5XvunrqMj27vT1SE5stK1TRjzGxgdrltj3u9H1TJed8A3SvZlw50rWTfzRVsm4E1PUiN6tkygfAwIT3zAOd3bFzTX6+UqkaaQdSAVg1ieeba7izfls1zX613OhylVIiJjYqga7N4nYhXqSCgiVsNuaRbU27ql8zE77fw7drdToejlAoxHnciK7ZlU1hc6nQoSqnToIlbDXrs9505o1k8D0xboZNhKqVqlCfZRUFxKat3HHI6FKXUadDErQbFRFr1biWlhrunZFBUon/5KqVqRoo9EW96pt/HQiil/EgTtxrmbliXf13djYxfsnn+6w1Oh6OUChGN42JwN4glXevclApomrg54LIezbi+byvGf7eZuev3nPgEpZSqBh53IulbD+qC80oFME3cHPL4pV3o1CSO+z9azs5DWu+mlPI/T7KLA0cK2bzviNOhKKVOkSZuDomJDOf1G3pTUFzKPVOXUaz1bkopP/O4EwGtc1MqkGni5qC2jerxz6u6sSTzIC9+85PT4SilglzbRnVxxUZqnZtSAUwTN4dd2as5w1Jb8kbaJr77aa/T4SilgpiIHKtzU0oFJk3caoG/XXYGHZPiuP/D5ew+nO90OEqpIOZJdrFl3xH25hQ4HYpSIcEYw7686iuH0sStFqgTFc7rN/TiaGGJ1rsppfyqrM5t6Vatc1PK34pKSnns09X8v/l5bDtwtFquqYlbLdGucRxPXtmVRVsO8Mqcn50ORykVpLo2jyc6Ikzr3JTys8P5Rdz67hKmLPqFga0iaZ5Qp1quG1EtV1HV4pqUFizcvJ9X526kT+sGnN2+odMhKaWCTHREOD1aJLBE69yU8pusg0cZ+W46m/bm8uw13Wl8ZBNhYVIt19Yet1rm71ecQbtG9bjvw2Xs0Xo3pZQfeNwu1mw/RF5hidOhKBV0VmzL5srXf2THoTwm3dqHoaktq/X6mrjVMrFREbx+Q29yC4q594PllJTqDOdKqeqV6k6kuNSwfFu206EoFVT+u3oX101YQExkGB/fcSZntav+J2eauNVCHZLi+McVXVmweT+v/k/r3ZRS1at3KxciOhGvUtXFGMOEeZu44/2ldG4az6djzqJ9Upxfvktr3GqpISktWLhpPy/P+Zk+rRM5s63Wuymlqkf92Eg6NI7TOjelqkFRSSl/m7WGKYt+4ffdmvLC0B7ERIb77fu0x62WEhH+78qutGlYl3s/WK5zLimlqpXH7SJj60Etx1DqNHiPHL1zQFteHd7Lr0kbaOJWq9WNturdDucVcf9HyynVG6xSqpqkuhPJLShmw64cp0NRKiBlHTzKkLELWLBpP89e052HBneqtpGjVdHErZbr1CSev19+Bt//vI830jY6HY5SKkh43C4A0nUiXqVOmr9HjlZFE7cAcF1qS67o2YwXv/mJhZv3Ox2OUioINE+oQ5P4GJboRLxKnZSaGDlaFU3cAoCI8NRV3XA3qMu9Hyxjf67WuymlTo+14LyLpTqyVCmf1OTI0apo4hYg6kVH8Nr1vTl4tIg/fbRC692UUqct1Z3IjkP5bM/OczoUpWq1YnvN0X/OXs8lXZsy9bZ+NKwX7UgsfkvcRKSliMwVkbUiskZE7q3gGBGRV0Rko4isFJHe9vZkEckQkeX2uaO9zkkTkQ32vuUi0thfbahtujSL5/FLuzDvp72Mm7fJ6XCUUgEuJdmuc9NeN6UqlZNfxK2T0mt05GhV/DmPWzHwgDEmQ0TigKUi8o0xZq3XMRcD7e1XX2Cs/b87gf7GmAIRqQesFpFZxpgd9nk3GGPS/Rh7rXVD31Ys3LyfF77+iVR3IqnuRKdDUkoFqE5N4qgXHcGSzANc0bO50+EoVeuUX3O0JgchVMZvPW7GmJ3GmAz7fQ6wDih/Z7gCmGwsC4EEEWlqjCk0xpQVckX7M85AIyL86+putHTV4Z6pyzhwpNDpkJRSASoiPIxerRJI1wEKSv2GkyNHq1IjCZGIuIFewKJyu5oD27w+Z9nbyh61rrT3P+PV2wbwjv2Y9P+JiP8nTall4mIiee363uzPLeQBnd9NKZ+IyGC7zGKjiDxSwf777dKOlSIyR0SS7e1VlW6kiMgq+5qvlN2PROQJEdnuVdJxidc5j9rHbxCRi2qi7VVJdSeyYXcOh/KKnA5FqVrD6ZGjVfH7klf2o84ZwH3GmMO+nmeM2QZ0F5FmwKciMt0YsxvrMel2+/HrDOAmYHIF3zsKGAWQlJREWlqaT9+bm5vr87FOG9ohgvfW7eWRSd9wSeuokzo3kNp5OkKhnaHQRji9dopIOPA68DusPxCX2OUX3qUbywCPMeaoiNwBPAtcR9WlG2OB27D+KJ0NDAa+tK/3b2PM8+Xi6AIMA84AmgHfikgHY0zJKTWsGniSXRgDGb8c5PyOIVMyrFSFjDG8+f0W/vnlOnq0SGDiCA+N4pwZhFAZvyZuIhKJlVy9b4z5uIJDtgPefY8t7G3HGGN2iMhq4BxgujFmu709R0SmAH2oIHEzxkwAJgB4PB4zYMAAn2JOS0vD12Oddp4xHJiSwYw1u7nugtRjhca+CKR2no5QaGcotBFOu519gI3GmM0AIvIBVqnGscTNGDPX6/iFwI32du96hGOlGyLSFIi3yzwQkcnAlfyauFXkCuADuxRki4hstGNbcKoNO109WyUQHiakZx7QxE2FtOKSUh6vwTVHT5U/R5UK8BawzhjzYiWHzQJG2KNL+wGHjDE7RaSFiNSxr+MCzgY2iEiEiDS0t0cClwKr/dWG2k5EePqa7jRLiOGeqcvIPqr1bkpVotKyjEqMxCsBq6R0o7l9ncqueZf92PVt+z52KnH4XWxUBF2bxWudmwpptW3kaFX82eN2FtZjzFUistze9hegFYAxZhzWo4VLgI3AUeAW+7jOwAsiYgABnjfGrBKRusBXdtIWDnwLTPRjG2q9+JhIXr++N9eM/ZE/T1vJxBEphGDZn1LVRkRuBDzAeWXbKirdOMFlxgL/Bxj7f18Abj2JGE6p1ANO7ZFyUngBc7cW8+3/5hJRA2stni4tDwguTrdzf14p/16az84jhlu6RtEnZhfz5u2q1u+ozjb6LXEzxvyAlXRVdYwBxlSw/RugewXbjwAp1RVjsOjeIoG/XNKZv3+2lrd+2MIfz2njdEhK1TYnLMsAEJFBwGPAeV4j248pV7ox377Ob65p1+OWXXMi8PnJxHGqpR5wao+U8xrs5Ov3M0hs15PerXwvuXCKlgcEFyfbuTIrmwcnpZNfHM7kkSl+G4RQnW3UaTaCxM1nurnojCSe+e96lm/LdjocpWqbJUB7EWktIlFYAwRmeR8gIr2A8cDlxpg9XtsrLN0wxuwEDotIP7s0ZAQw0z6uqdelr+LXko5ZwDARiRaR1lhzWC6u/uaenBR7wfml+rhUhZD/rt7F0PELiI6ofSNHq6KJW5AQEZ69pgdJ8TGMeT+DQ0d1aL9SZYwxxcBdwFdYc0p+ZIxZIyL/EJHL7cOeA+oB0+wpPMoSu87AIhFZAXyHXbph77sTeBOr3GMTv9bFPWtPE7ISOB/4kx3HGuAjrEER/wXGODmitEzjuBjcDWJZoisoqBBgjGHivM3c8f5SOjWJ55M7nVlz9FT5fToQVXPqx0by6vBeDBm3gAenr2D8TVrvplQZY8xsrLpa722Pe70fVMl5FZZu2PvSga4VbL+pijieAp7yLeqak5KcyNwNezDG6H1DBa1AGTlaFe1xCzK9Wrl45OJOfL12N+/+mOl0OEqpAJHqdnHgSCGb9x1xOhSl/MJ75OgdtXzkaFU0cQtCI89uzaDOSfxz9jpWZmm9m1LqxDz2usda56aC0fbsPK4du4AfN+7jmWu68fDgToQFwAjqimjiFoREhCw1/8YAACAASURBVOeHdKdxXAx3TVnG4Xytd1NKVa1to7q4YiO1zk0FnZVZ2Vz5+vxja45el9rK6ZBOiyZuQSohNopXhvdiR3Yej8xYiTXzilJKVUxESElOJH2r9rip4BGoI0eroolbEEtJdvHgRR2ZvWoX/1m41elwlFK1XKrbxZZ9R9iX+5sp7JQKKIE+crQqmrgFudvOacP5HRvx5OfrWL39kNPhKKVqsbI6N13+SgWy4pJSHvt0NU/NXsclXZvywah+tW6h+NOhiVuQCwsTXhjakwb1ohgzJYMcrXdTSlWia/N4oiLCSNc6NxWggmXkaFU0cQsBiXWjeHV4L7IO5vHox6u03k0pVaHoiHB6tkhgida5qQC0PTuPIeOCY+RoVTRxCxEedyIPXNiBz1fuZMriX5wORylVS3ncLtZsP0ReoeMLOijls7KRo9uz83j3lsAfOVoVTdxCyOhz23Jeh0b8/bO1/HJYb8pKqd9KdSdSXGp0zWMVMMqPHD27feCPHK2KJm4hJCxMeHFoD1yxkfx7aQEb9+Q4HZJSqpbp3cpacF7r3FRtF8wjR6uiiVuIaVAvmndv6UOJgaHjF7IqS0eaKqV+VT82ko5JcVrnpmq14pJS/mqPHL24a5OgGzlaFU3cQlDnpvE81jeGOpHhDJ+4kEWb9zsdklKqFvG4XSzbepCSUh3IpGqfspGj79sjR18b3jvoRo5WRRO3EJVUN4wZd5xJk/oxjHh7Mf9bv9vpkJRStYTH7SKnoJgNu7ScQtUuoTJytCqauIWwJvVj+Oj2/nRIimPU5KXMXL7d6ZCUUrWAJ9meiHer1rmp2iOURo5WRRO3EJdYN4opt/UlJdnFfR8u5z1dGkupkNfCVYcm8TG6goKqNb5aE1ojR6uiiZsiLiaSSbf24YKOjfnrp6t5I22j0yEppRwkInjcLh1ZqhxXNnJ09HuhNXK0Kpq4KQBiIsMZd1MKV/RsxrP/3cC/vlynKywoFcI8yS52HMpne3ae06GoEBXKI0erEuF0AKr2iAwP499DexIfE8n47zZzOK+YJ6/sSniIFX4qpbwXnD9A857NHY5GhZqc/CLGTFnGvJ/2cseAtjx4YceQG4RQGU3c1HHCwoR/XHEG8XUieH3uJnLyi3hxaE+iIrRzVqlQ0qlJHPWiI0jPPMgVmripGrQ9O4+R7y5h455cnr66G8P6hOYghMpo4qZ+Q0R48KJO1K8TyT9nrye3oJixN6RQJyp05slRKtRFhIfRq1UCS7TOTdWglVnZjJyUTn5RCe/e0iekByFURrtRVKVGnduWp6/uxnc/7WXE24s4nF/kdEhKqRrkSU5kw+4cDuXp777yPx056htN3FSVhvVpxWvDe7N8WzbDJyxkX26B0yEppWpIqtuFMZDxi04LovzHGMOb3+vIUV9p4qZO6PfdmzJxhIdNe3MZOm6BjjJTKkT0bJVAeJiwVOdzU35SXFLK5LWFPPmFjhz1lSZuyicDOjbmPyP7sje3gCFjf2Tz3lynQ1JK+VlsVARnNIvXOjflF4eOWmuOzt1WHJJrjp4qTdyUz1LdiXwwqh8FxaUMGbeA1dsPOR2SUsrPPMmJLN+WTWFxqdOhqCCyevshLn3texZs2sctZ0SF5Jqjp0oTN3VSzmhWn2mj+xMdEcbwCQv1L3EVMERksIhsEJGNIvJIBfvvF5G1IrJSROaISLK9PVlEMkRkuYisEZHRXuekiMgq+5qviIjY258TkfX2tT4RkQR7u1tE8uxrLReRcTXV/lOV6nZRUFzKmh36h5qqHh+lb+OasT9SXGL48Pb+nNcy0umQAoombuqktWlUj+l3nEmj+GhuemsRaRv2OB2SUlUSkXDgdeBioAswXES6lDtsGeAxxnQHpgPP2tt3Av2NMT2BvsAjItLM3jcWuA1ob78G29u/Abra1/oJeNTrezYZY3rar9HUciluF4CuW6pOW35RCY9+vJKHpq/E43bx+d1n07uVy+mwAo4mbuqUNEuow7Tb+9OucT1um5zOZyt2OB2SUlXpA2w0xmw2xhQCHwBXeB9gjJlrjDlqf1wItLC3FxpjyoZTR2PfN0WkKRBvjFlorPXhJgNX2ud8bYwpLn+tQNQ4LobkBrHau65Oy7YDRxkybgFTF29jzPltmXxrXxrU00EIp0ITN3XKGtSLZspt/ejV0sU9Hyxj6uJfnA5Jqco0B7Z5fc6yt1VmJPBl2QcRaSkiK+1rPGOM2WGfn+XDNW/1vhbQWkSWich3InLOyTXDGZ7kRJZuPajrF6tTMnfDHi599Qcy9x9h4ggPD17USZdSPA26coI6LfExkUy6tQ93vr+URz9exaG8Ikaf19bpsJQ6ZSJyI+ABzivbZozZBnS3H5F+KiLTfbzWY0Ax8L69aSfQyhizX0RS7GudYYw5XO68UcAogKSkJNLS0nyOPzc396SO90V8QRH7jxTy4ey5NKnr/N/7/mhjbRTo7Sw1hpkbi5i1qYgWcWHc3SuayD3rSNuz7rjjAr2dvqjONmripk5bnahwxt/k4YFpK3j6y/UcyivioYs6YtdpK1UbbAdaen1uYW87jogMAh4DzvN6PHqMMWaHiKwGzgHmc/wj0OOuKSI3A5cCA+1HqdjXLLDfLxWRTUAHIL3c90wAJgB4PB4zYMAAnxualpbGyRzvixZ7cnlnzXeENW7PgNSWJz7Bz/zRxtookNt58Egh9324nO827eWa3i148squlS6bGMjt9FV1ttH5P51UUIiKCOOl63pyfd9WjE3bxF8/XU1pqT5WUbXGEqC9iLQWkShgGDDL+wAR6QWMBy43xuzx2t5CROrY713A2cAGY8xO4LCI9LNHk44AZtrHDQYesq911OtajeyBEohIG6wBDZv91ejq0rZRXVyxkVrnpnyyMiubS1/9gQWb9vPPq7rx/JDuutZ1NdIeN1VtwsOEp67sSv06kYxN20ROfjEvDO1BZLj+faCcZYwpFpG7gK+AcOBtY8waEfkHkG6MmQU8B9QDptm9xb8YYy4HOgMviIgBBHjeGLPKvvSdwLtAHaw6trJattewBjJ8Y19roT2C9FzgHyJSBJQCo40xtT4bEhFS7Do3pSpjjGHq4m08MWsNjeKimTa6Pz1aJjgdVtDRxE1VKxHh4cGdiI+J5Jn/rie3oJg3btDZsJXzjDGzgdnltj3u9X5QJed9A3SvZF860LWC7e0qOX4GMMP3qGuPVLeLb9ftZl9uAQ11NKAqJ7+ohL9+uprpS7M4t0MjXr6uJ666UU6HFZS0K0T5xR0D2vLUVV2Zu2EPI95eTE5+kdMhKaVOg0fnc1OV2Lr/CFe98SPTl2Zxz8D2vHNzqiZtfqSJm/KbG/om8/KwXmRsPcjwiQvZn/ubWm+lTspnn31GaakuveSErs3rExURRrrWuSkv367dzaWv/sCO7DzeuTmV+3/XQaf68DNN3JRfXd6jGRNHePh5dy5Dxy9g56E8p0NSAezDDz+kffv2PPTQQ6xfv97pcEJKdEQ4PVskkK51bgooKTU899V6/jg5neQGsXx+99mc36mx02GFBE3clN+d36kx/xnZlz2HC7h27AK27DvidEgqQL333nssW7aMtm3bcvPNN9O/f38mTJhATk6O06GFBI/bxerth8grLHE6FOWg/bkF/OHtxbw+dxPDUlsyffSZtEyMdTqskKGJm6oRfVonMnVUP/KKShgybgFrdxw+8UlKVSA+Pp5rr72WYcOGsXPnTj755BN69+7Nq6++6nRoQc/jdlFcali+LdvpUJRDMn45yKWv/sDizAM8e013nr6muw4+q2GauKka07V5fT66vT+R4cKwCQtYulVrZdTJmTVrFldddRUDBgygqKiIxYsX8+WXX7JixQpeeOEFp8MLeimtEgG0zi0EGWOYvCCT68YvICJc+PiOMxlaCyZjDkU6HYiqUe0a12Pa6P7c9NZibnxzMeNvSuHcDo2cDksFiBkzZvCnP/2Jc88997jtsbGxvPXWWw5FFTrqx0bSMSlO69xCzNHCYv7y8So+Xb6DCzo15t9De1I/NtLpsEKW9ripGtfCFctHt/fH3bAuIyctYfaqnU6HpALEE088QZ8+fY59zsvLIzMzE4CBAwc6FFVoSXG7yNh6kBJdGSUkbN6by1Wv/8jMFTt44HcdeHOER5M2h2niphzRKC6aD0b1o0eLBO6aksFHS7Y5HZIKAEOGDCEs7NfbVnh4OEOGDHEwotCT6naRU1DMhl06ICTY/Xf1Ti5/bT57cvKZdEsf7h7YnjCd6sNxmrgpx9SvE8nkkX04u30jHpqxkje/r/VLNiqHFRcXExX168SeUVFRFBYWOhhR6PEkW3VuWqMavIpLSvnX7HWMfi+Dto3q8vk952hJSy2iiZtyVGxUBG+O8PD7bk158ot1vPD1BozRRzCqYo0aNWLWrF/Xhp85cyYNGzZ0MKLQ08JVhybxMSzRFRSC0p6cfG54cxHj523mxn6t+Gh0f5on1HE6LOXFb4MTRKQlMBlIAgwwwRjzcrljBHgZuAQ4CtxsjMkQkWTgE6zEMhJ41Rgzzj4nhV8XdZ4N3Gv0X/qAFhURxivDe1EvOoJX/7eRw3lF/O2yM7RLXv3GuHHjuOGGG7jrrrswxtCyZUsmT57sdFghRURIcbt0ZGkQSs88wJ3vZ3A4v4gXh/bg6t4tnA5JVcCfo0qLgQfsRCwOWCoi3xhj1nodczHQ3n71Bcba/7sT6G+MKRCResBqEZlljNlhH3MbsAgrcRsMfOnHdqgaEB4mPH1NN+rHRjJh3mYO5xfz7LXdiQzXTmH1q7Zt27Jw4UJyc3MBqFevnsMRhabUZBdfrNzJ9uw87Y0JAsYY3p6fyb9mr6OFqw6Tbu1D56bxToelKuFT4iYidYE8Y0ypiHQAOgFfGmMqXTncGLMTKwHDGJMjIuuA5oB34nYFMNnuMVsoIgki0tQ+t0w09iNdEWkKxBtjFtqfJwNXoolbUBARHr24E/XrRPLcVxvIyS/mtet76eSO6jhffPEFa9asIT8//9i2xx9/3MGIQo/H/et8bs17Nnc4GnU6cguKeXjGSr5YuZPfdUni+SE9qF9HR43WZr52Z8wDYkSkOfA1cBPW40qfiIgb6IXVS+atOeA9nDDL3oaItBSRlfb+Z+zetub2Mb85XgUHEWHM+e34vyvOYM763dzyzhJyC4qdDkvVEqNHj+bDDz/k1VdfxRjDtGnT2Lp1q9NhhZxOTeKoFx1Buta5BbSNe3K48vX5fLlqJw8P7sT4G1M0aQsAvj4qFWPMUREZCbxhjHlWRJb7dKL1qHMGcJ8xxud1jowx24DuItIM+FREpvt6rv29o4BRAElJSaSlpfl0Xm5urs/HBrLa3s6WwKhu0UxctZ/LXviG+z0xxEWdfM1bbW9ndQiFNoLVzm+++Ya33nqL+fPnc95559GnTx8efvjhkGh/bRIRHkavVgks0Tq3gPX5yh08PH0lMZHhvDeyL2e200E+gcLnxE1E+gM3ACPtbSd8fiUikVhJ2/vGmI8rOGQ71r/RZVrY244xxuwQkdXAOcB8+5hKj/c6bwIwAcDj8ZgBAwacKFwA0tLS8PXYQBYI7RwA9Fm3mzvfz+CV1WH8Z2RfmtSPOalrBEI7T1cotBGsdjZo0IABAwbQqFEjOnToQIMGDTh69GhItL+28SQn8tKcnzicX0R8jPbSBIqiklL+NXs9b8/fQu9WCbxxQ8pJ31eVs3x9VHof8CjwiTFmjYi0AeZWdYI9YvQtYJ0x5sVKDpsFjBBLP+CQMWaniLQQkTr2dVzA2cAGu/btsIj0s68/ApjpYxtUABrYOYlJt/Zh56F8rh33I1v3H3E6JOWgyy67jOzsbB588EF69+6N2+3m+uuvdzqskJTqdmEMZOjyVwFj9+F8hk9YyNvzt3DzmW4+GNVfk7YA5FOPmzHmO+A7ABEJA/YZY+45wWlnYdXCrfJ6rPoXoJV9zXFYo0IvATZiTQdyi31cZ+AFETGAAM8bY1bZ++7k1+lAvkQHJgS9fm0aMOW2vvzh7cVcO24B/xnZh05NdMRTqCktLWXgwIEkJCRwzTXXcOmll5Kfn0/9+vWdDi0k9WyVQHiYkJ55kAEdGzsdjjqBhZv3c9eUZRwpKOblYT25QgeVBCxfR5VOAUYDJcASIF5EXjbGPFfZOcaYH7CSrkrZo0nHVLD9G6B7JeekA119iVsFj+4tEvjodmtx+uvGL+SdW1Lp3crldFiqBoWFhTFmzBiWLVsGQHR0NNHR0Q5HFbpioyI4o1m81rnVcsYYJn6/mWf+u4HkxFim3NaXDklxToelToOvj0q72AMLyqbeaI3Vm6ZUjWmfFMe00f1JiI3kxjcX8cPP+5wOSdWwgQMHMmPGDF1do5bwJCeyIiubwuJSp0NRFcjJL+KO9zL45+z1XNgliZl3naVJWxDwNXGLtAcaXAnMsudv0zunqnEtE2OZNro/rRJjufXdJfx39S6nQ1I1aPz48QwZMoTo6Gji4+OJi4sjPl4fmzsl1e0iv6iUNTsOOR2KKmfDrhwuf20+36zbzWOXdOaNG3oTp4NIgoKvidt4IBOoC8yzl6TyeWoPpapT47gYPhzVn67N47nz/aVMS9924pNUUMjJyaG0tJTCwkIOHz5MTk4Ohw/rrcgpKW6rXEHnc6tdZi7fzpWvzye3oJgpf+zLbee2wRrPp4KBr4MTXgFe8dq0VUTO909ISp1Y/dhI3vtjX27/z1IenL6SnPxibj27tdNhKT+bN29ehdvPPffcGo5EgfVHVHKDWJZkHuC2c9s4HU7IKywu5akv1jJpwVZS3S5ev743jeN11Giw8XVwQn3gb0DZ3fE74B+A9o8rx8RGRfDmHzzcO3U5//h8LYfyirhvUHv9yzKIPffcr+Oh8vPzWbx4MSkpKfzvf/9zMKrQ5klOJG3DHowx+rvnoB3ZeYyZksGyX7L549mtefjiTrrWc5DydQLet4HVwFD7803AO8DV/ghKKV9FR4Tz2vW9ePTjVbw852cO5RXx+KVdCAvTf0CC0WeffXbc523btnHfffc5FI0Cq85tRkYWW/YdoU2jek6HE5Lmb9zH3VOXUVBUwuvX9+b33Zs6HZLyI1/T8bbGmL8ZYzbbr78D2i+uaoWI8DCeuaY7I89uzbs/ZvLg9JUUl+got1DQokUL1q1b59OxIjJYRDaIyEYReaSC/feLyFoRWSkic+xaXkQkWUQyRGS5iKwRkdFe56SIyCr7mq/YE4MjIoki8o2I/Gz/r8veLvZxG+3v6V0tPwgHebTOzTGlpYbX527kprcW0aBuFDPvOluTthDga49bnoicbc/NhoicBeT5LyylTk5YmPDX33emfp1IXvzmJ3Lyi3hleC+nw1LV7O677z72OK60tJTly5fTu/eJcx8RCQdeB34HZAFLRGSWMWat12HLAI+9LvMdwLPAdcBOoL8xpsBee3m1fe4OYCxwG7AIa0LxwVhTJj0CzDHGPG0niY8ADwMXA+3tV1/7/L6n9UNxWNtG9XDFRpK+9QBDU1ue+ARVLQ7lFfHAR8v5dt0eLuvRjKev7kbdaF//SVeBzNf/yqOByXatG8BB4A/+CUmpUyMi3DOwPfExETzx2VpGTlrCCLfOWhNMPB7PsfcREREMHz6cs846y5dT+wAbjTGbAUTkA+AK4FjiZozxXsZvIXCjvb3Qa3s09pMKEWkKxBtjFtqfJ/PrXJdXYC23CzAJSMNK3K4AJtuTjy8UkQQRaWov5xeQRISU5ETtcatBa3Yc4o73MtiRnccTl3XhD2e6tb4whPg6qnQF0ENE4u3Ph0XkPmClP4NT6lTcfFZr4utE8sC0FdQvieSiQU5HpKrLtddeS0xMDOHh4QCUlJRw9OhRYmNjT3Rqc8B73pgsqu7pGonXcnoi0hL4AmgHPGiM2SEiHvs63tcsW0coySsZ2wUkVRFHc6xevYDlcbv4dt1u9uUW0LCermbhT9OXZvHYJ6tIiI3kw9v7kZKc6HRIqoadVL+qvXpCmfuBl6o3HKWqx9W9W5C2YS9frd7BgSOFJNaNcjokVQ0GDhzIt99+S716VhF8Xl4eF154IT/++GO1fYeI3Ah4gPPKthljtgHdRaQZ8KmITPf1esYYY6+7fDIxjAJGASQlJZGWlubzubm5uSd1fHUIP1gCwKQvviclyf+P65xooxO821lYYpiyrpC0rGI6J4ZxR49wcrasJG2LszFWh1D471mdbTyd3zDtl1W12j0D2/HZih1M/H4zDw/u5HQ4qhrk5+cfS9oA6tWrx9GjR305dTvgXYDVwt52HBEZBDwGnGeMKSi/3+5pWw2cA8y3r1PRNXeXPQK1H6nuOZk4jDETgAkAHo/HDBgwwJc2ApCWlsbJHF8d+heX8NzSr8mv14wBA7r4/fucaKMTytqZdfAod76fwcqso4w+ry1/vrADEUE01Uco/Peszjaezn95LR5StVq7xnGkNgln8o+ZHDxSeOITVK1Xt25dMjIyjn1eunQpderU8eXUJUB7EWktIlHAMGCW9wEi0gtrlZjLjTF7vLa3EJE69nsXcDawwX4UelhE+tmjSUcAM+3TZvFrHfAfym0fYY8u7QccCuT6tjLREeH0bJHAEq1zq3bf/bSXS1/9gS17jzD+phQeubhTUCVt6uRV2eMmIjlUnKAJ4NPdUiknXdE2iiW783jzh808eJH2ugW6l156iSFDhtCsWTOMMezatYsPP/zwhOcZY4pF5C7gKyAceNsYs0ZE/gGkG2NmAc8B9YBpdqH3L8aYy4HOwAv2404BnjfGrLIvfSfwLtb98Et+rYt7GvhIREYCW/l1DszZwCXARuAocMtp/DhqlRS3i4nzNpNXWEKdqHCnwwl4paWGmRsL+fSrxXRMimPsjSm0bljX6bBULVBl4maMiaupQJTyh+ZxYVzStSmTftzKH89ug0tr3QJaamoq69evZ8OGDQB07NiRyEjfFs42xszGSpy8tz3u9b7CYSzGmG+A7pXsSwe6VrB9PzCwgu0GGONTwAEm1e1ibJphRVY2/do0cDqcgPfIxyv5ZGMRV/dqzlNXddNkWB2j/a0q6N09sB25BcW89UMQVPGGuNdff50jR47QtWtXunbtSm5uLm+88YbTYSkgpZU1ujE984DDkQS+1dsP8VF6FhclR/DC0B6atKnjaOKmgl6nJvFc0q0J7/6YSfZRrXULZBMnTiQhIeHYZ5fLxcSJEx2MSJWpHxtJh6R6WudWDV74egP160RyebsonZ9N/YYmbiok3DOwPbkFxbytvW4BraSkBOtp46+fCws1Ga8tPO5EMrYepKRUx66dqvTMA8zdsJfbz2tD3UhN2tRvaeKmQkKnJvEMPqMJ78zP5NDRIqfDUado8ODBXHfddcyZM4c5c+YwfPhwLr74YqfDUrZUt4ucgmJ+2p3jdCgByRjDc19toGG9aG4+0+10OKqW0sRNhYx7BrYnp6CYt+drr1ugeuaZZ7jgggsYN24c48aNo1u3buTl6bLJtYUnWevcTscPG/exaMsB7jq/LbFRuu6oqpgmbipkdGkWz4Vdknh7/hYO5WmvWyAKCwujb9++uN1uFi9ezP/+9z86d+7sdFjK1sJVh6T4aK1zOwVlvW3NE+owvG8rp8NRtZgmbiqk3DOwPTn5xbyjvW4B5aeffmLSpEl06tSJu+++m1atrH/Y5s6dy1133eVwdKqMiOBxJ2qP2yn4eu1uVmYd4t6B7YmO0FGkqnKauKmQ0rV5fX7XJYm3f9jC4XztdQsUnTp1IiMjg88//5wffviBu++++9hC86p2SU12seNQPtuz9RG2r0pKDS98vYE2Detyde/mToejajlN3FTIuXdgew7nF/Pu/EynQ1E++vjjj2nQoAHnn38+t912G3PmzDludKmqPTxurXM7WZ+t2MFPu3P50++Caw1S5R/6/xAVcro2r8+gzo1564ct5GivW0C48sorefzxx1m/fj3nn38+L730Env27OGOO+7g66+/djo85aVTkzjqRoWTrnVuPikqKeXf3/5E56bx/L5bU6fDUQFAEzcVku4d2IFDeUVM+jHT6VDUSahbty7XX389n332GVlZWfTq1YtnnnnG6bCUl4jwMHonu0jfqombL6alZ7F1/1Ee+F0HwsJ03jZ1Ypq4qZDUrUV9LujUmDe11y1guVwuRo0axZw5c5wORZXjSU5k/a7DWkd6AvlFJbwy52d6tUpgYOfGToejAoQmbipk3TuwPdlHi5i8YKvToSgVVDxuF8ZAhva6Vem9hVvZdTifBy/sqEtbKZ9p4qZCVo+WCZzfsRETv99MbkGx0+EoFTR6tkwgPEy0zq0KuQXFjE3bxFntGnBmu4ZOh6MCiCZuKqTdO6iD3euW6XQoSgWNutERnNEsnvStOrK0Mu/8sIX9Rwr584UdnQ5FBRhN3FRI69kygfM6NGLivM0c0V43paqNJzmR5duyKSwudTqUWufQ0SImfL+ZQZ2T6NXK5XQ4KsBo4qZC3r2D2nPwaBH/Wai1bkpVF4/bRX5RKWt2HHI6lFpn/LxN5BYU88CFHZwORQUgTdxUyOvdysU57Rsycd5mjhZqr5tS1cGTbPUkaZ3b8fbk5PPO/Ewu7d6Mzk3jnQ5HBSBN3JQC7hvUnv1HCnlPe92UqhaN42NIbhCrdW7lvDF3E4UlpfxpUHunQ1EBShM3pYCU5ETOad+Q8d9pr5tS1SUl2UV65kFdnsy2PTuPKYt+4dreLWjTqJ7T4agApYmbUrZ7B1q9bu8v/MXpUJQKCqnuRPYfKWTLviNOh1IrvPLtzwDco71t6jRo4qaUzeNO5Kx2DRg/bxN5hSVOh6NUwEt123VuOhEvm/fmMj0ji+v7tqJ5Qh2nw1EBTBM3pbzcO7AD+3ILeX+R1ropdbraNqqHKzaS9Eytc/v3tz8TFR7GmPPbOR2KCnCax3/isgAAIABJREFUuCnlpU/rRPq3acD4eZvJL9JeN6VOh4gcq3MLZWt3HOazFTu45Sw3jeKinQ5HBThN3JQq595B7dmbU8CURVrrptTp8rgT2bzvCPtyC5wOxTEvfrOBuJgIbj+3rdOhqCCgiZtS5fRr04B+bRIZ+90m7XVT6jSV1bktDdE6t4xfDvLtuj3cfm4b6sdGOh2OCgKauClVgXsHdmBvTgFTF2uvm1Kno2vz+kRFhIVsndvzX22gQd0objmrtdOhqCChiZtSFejftgF9WicyTnvdgoKIDBaRDSKyUUQeqWD//SKyVkRWisgcEUm2t/cUkQUissbed53XOReISIaIrBaRSSISYW9/UESW26/VIlIiIon2vkyR/9/evYdXVd35H39/c+UakgiES0LCnYIKSgBRVESKaFvtXVsVbXX81daOnXaYTqfPz99Mn3amUzsqaGtra2vRto6tWm1ryz1eQbmLiIQA4S7hDuEWknx/f5yNHiO3wDlnn8vn9Tx5OGedtff5LpKsfM/aa+1ly4PXFiaq/WHKz8lmaGknFmTgPLfXanbw2pqdfPWKfrTPzwk7HEkTStxETuAbV/Zn274j/O+CjWGHImfBzLKBnwBXA4OBL5jZ4BbVlgCV7n4+8EfgR0H5QWCSuw8BJgIPmFmhmWUBvwFucPdzgfXALQDufq+7D3P3YcB3gBfdPXq46Yrg9cq4NDgJVVYUs2LL3oy6zY67c++MVXTv1IYbR/UKOxxJI0rcRE5gdN9zGFFRxMNVazjSmDl/cNLQSKDG3de6ewPwJHBddAV3n+vuB4On84HSoLza3VcHj7cAdUAX4Bygwd2rg2NmAp85znt/Afh9jNuTckZUFHG0yVm2aU/YoSTM7JV1LNmwh3+8sj9tcrPDDkfSiMZuRU7AzLj7ygHc9OjrPLVgIzePrgg7JDkzPYHoYdNNwKiT1L8N+FvLQjMbCeQBawAHcsys0t0XAp8FylrUb0dklO6uqGIHZpiZAz9390eOF4CZ3QHcAVBSUkJVVdXJ2vcB9fX1raqfCAcbIltePTV3EYc35J31+ZKxjdGa3fmP1w7TtZ3RpX4NVVVrz+g8yd7OWMmEdsayjUrcRE7ikn7nUFlexE+r1vD5EWXk5+iTczozs5uASuDyFuXdgceBW9y9OSi7AbjfzPKBGUDLYdlPAK+2uEw6xt03m1lXYKaZvePuL7WMI0joHgGorKz0sWPHnnYbqqqqaE39RJm64kV2WlvGjh151udK1jYe8/yyLWzcv4QHrh/G+At6nvF5kr2dsZIJ7YxlG3WpVOQkzIy7x/dn697DPLVwU9jhyJnZzAdHw0qDsg8ws/HAd4Fr3f1IVHkB8Ffgu+4+/1i5u89z90vdfSTwElDd4pQ30OIyqbtvDv6tA54lchk3I1RWFLN4w26amtN7w/nGpmbun1nNwJKOfGJoj7DDkTSkxE3kFMb068yFvQp5eG6N5rqlpgVAfzPrbWZ5RBKq56MrmNkFwM+JJG11UeV5RBKsae7+xxbHdA3+zQe+Dfws6rVOREbtnosqa29mHY89BiYAb8WwnUltREUR+w83Ur1tf9ihxNXTizexbscBvjlhANlZFnY4kobilriZWZmZzQ2W2K8ws7uPU8fMbGqwRP9NM7swKD/ZEvzHzGxd1HL7YfFqgwgcG3UbwJa9h/njIo26pRp3byQyz2w6sBJ4yt1XmNn3zOzaoNq9QAfgD0G/ciyx+zxwGXDrcfqcyWa2EngT+LO7z4l6208BM9z9QFRZCfCKmS0D3gD+6u5/j0OTk1JleTFAWt/P7UhjE1Nn1zC0tBMTBpeEHY6kqXjOcWsEvuXui4NPmYvMbKa7vx1V52qgf/A1Cng4+PfYEvzVZtYjOHa6ux9bkjS55adfkXi6rH9nhpUV8tO5a/jc8DLycjRYnUrc/QXghRZl90Q9Hn+C454AnjjBa5OBySd47THgsRZla4GhrQg7rZQWtaWkIJ8FtbvTdqHP71/fwOY9h/jhZ87DTKNtEh9x++vj7lvdfXHweD+RT7otZ2leR+QShAdzRwrNrPtJluCLhOLYXLfNew7x9GKNuom0lplRWVGctltfHWxo5KG5NYzqXcyYfp3DDkfSWEKGDcysArgAeL3FS8dbpv+B5K7FEvxjfhBcQj22oksk7sYO6MLQskIemlNDQ2Nz2OGIpJwR5UVs3nOIzXsOhR1KzD32Wi076huYfNVAjbZJXMX9diBm1gF4GviGu+9r5bEfWoJP5E7k7xJJ5h4hMin4e8c59ozug5QJ95MBtfNMjevayP0bj/Bfv5/N5WXJsWG0vpeSKior3p/n1nPYmd8mI9nsPXSUn1Wt4YqBXd5ro0i8xDVxM7NcIknbb939meNUOeEy/ZMswd8aPDxiZr8G/vl4732m90HKhPvJgNp5pi53Z/a2V5m5pYF/++Jl5GaHP9dN30tJFYO6daR9XjaL1u/mujRK3H758lr2HW7kWxMGhh2KZIB4rio14FFgpbvfd4JqzwOTgtWlFwF73X3rKZbgd486/yfJoOX0Er7Ibgr92bT7EM8u/tCtwETkJHKys7iwvCitNpzfUX+ER19Zx8fO6865PTuFHY5kgHgOF1wC3AyMi1pGf42ZfcXMvhLUeQFYC9QAvwC+GpSfbAn+b81sObAc6Ax8P45tEPmQcYO6cl7PTjw0t4ajTZrrJtIaw8uLeOfdfew7fDTsUGLi4ao1HD7axD99dEDYoUiGiNulUnd/BTjpDE13d+Brxyk/2RL8cTEJUOQMmRn/eGV//mHaQv60ZDOfqyw79UEiAsCIimLcYfH63Ywd2DXscM7K1r2HeHz+ej59YSn9unYIOxzJEOFP0BFJQeM/0pUhPQp4aG4NjRp1Ezltw8oKyc6ytLgtyNTZNbg7d1/ZP+xQJIMocRM5A8fmuq3feZA/Ld0SdjgiKaN9fg5DehSwIMV3UKjdcYA/LNzIF0b2oqy4XdjhSAZR4iZyhj46uITB3Qt4aM5qjbqJtMLw8iKWbtyT0nNEH5hVTU62cdcV/cIORTKMEjeRM3RsrlvtzoM8v0yjbiKna0RFMYePNrNiS6tu7Zk0Vr27n+eWbeGWiyvoWtAm7HAkwyhxEzkLEwaXMKhbRx6aU0NTs4cdjkhKqCwvAlJ3w/n7Zq6iQ14OX7msb9ihSAZS4iZyFrKyInPd1u44wJ816iZyWroWtKFXcbuUnOe2bOMepq/Yxu2X9qGofV7Y4UgGUuImcpauGtKNQd06MnXOao26iZymyooiFtbuJnJXqNTx4xmrKGqXy5fHVIQdimQoJW4iZykrKzLXbe32A/zlTY26iZyOERXF7DzQQO3Og2GHctrmr93Jy6t3cOfYvnRskxx7FUvmUeImEgMTh3RjYElHps7WqJvI6RhREZnnliqXS92dH09fRUlBPpNGV4QdjmQwJW4iMZCVZXz9yn6s2X6Avy7fGnY4IkmvT+cOFLbLTZkFClXV21m4fjd3jetPm9zssMORDKbETSRGrjm3O/27duDB2atp1qibyEllZRmV5ZF5bsmuuTky2lZW3JbrtcWdhEyJm0iMREbd+rO6rp4X3tKom8ipVFYUs3bHAXbWHwk7lJP6+4p3WbFlH9+4cgB5OfqzKeHST6BIDH3svO7069qBqRp1EzmlY/PcFibxvqVNzc7/zFhFv64d+OQFPcMOR0SJm0gsZWcZXx/Xj+pt9fztrXfDDkckqZ3bsxN5OVlJPc/t2SWbWbP9AN/66ACysyzscESUuInE2sfP70HfLu016iZyCvk52Qwt7ZS0I24Njc08MKuac3sWMPHcbmGHIwIocROJucioW39WbdvP9BUadRM5mcqKYt7avJdDDU1hh/Ih/7tgA5t2H+KfJwzETKNtkhyUuInEwSeG9qBP5/ZM0aibyElVlhdxtMlZtmlP2KF8wKGGJh6cU8OIiiIuH9Al7HBE3qPETSQOsrOMu8b145139zPj7W1hhyOStIYn6Ybz0+bVUrf/CJOvGqTRNkkqStxE4uTaoT3orVE3kZMqbJfHgJIOSTXPbf/hozz84houG9CFkb2Lww5H5AOUuInESU52Fndd0Y+VW/cxc6VG3cJmZhPNbJWZ1ZjZvx7n9W+a2dtm9qaZzTaz8qB8mJnNM7MVwWvXRx0zzswWm9lbZvYbM8sJysea2V4zWxp83XO6cWSiyopiFq3fnTTbxf3y5XXsOXiUyRMGhh2KyIcocROJo+uG9aDinHZMnb0a9+T4o5SJzCwb+AlwNTAY+IKZDW5RbQlQ6e7nA38EfhSUHwQmufsQYCLwgJkVmlkW8BvgBnc/F1gP3BJ1vpfdfVjw9b1WxJFxKsuL2H+4kept+8MOhd0HGnj0lXVMHNKN80o7hR2OyIcocROJo5zsLL52RT9WbNnHrJV1YYeTyUYCNe6+1t0bgCeB66IruPtcdz8YPJ0PlAbl1e6+Oni8BagDugDnAA3uXh0cMxP4zNnGkYlGVEQuRybD5dKfvbiGAw2NfHPCgLBDETkuJW4icfapC3rSq7gdU2ZXa9QtPD2BjVHPNwVlJ3Ib8LeWhWY2EsgD1gA7gBwzqwxe/iwQvZHlaDNbZmZ/M7MhZxhHRigtaktJQX7oCxS27TvMY6/V8qlhPRlQ0jHUWEROJCfsAETS3bG5bv/y9JvMeaeOKz9SEnZIchJmdhNQCVzeorw78Dhwi7s3B2U3APebWT4wAzh2M7LFQLm715vZNcCfgP6tiOEO4A6AkpISqqqqTjv++vr6VtVPFuXtGnnlna1UVe09Zd14tXHa20dobGrmoo67kuL/MFW/l62VCe2MZRuVuIkkwKcu7MmDc1fzwKzVjBvUVbcXSLzNfHA0rDQo+wAzGw98F7jc3Y9ElRcAfwW+6+7zj5W7+zzg0qDOBGBAUL4vqs4LZvZTM+t8unG4+yPAIwCVlZU+duzY025oVVUVramfLNblruM//vw2A4aNokdh25PWjUcbN+46yEszqrhhZC8+f815MT33mUrV72VrZUI7Y9lGXSoVSYDcYNRt+ea9zF2luW4hWAD0N7PeZpYH3AA8H13BzC4Afg5c6+51UeV5wLPANHf/Y4tjugb/5gPfBn4WPO9mQXYeXF7NAnaeThyZKux5bg/MWv3ericiyUyJm0iCfPrCUkqL2jJlllaYJpq7NwJ3AdOBlcBT7r7CzL5nZtcG1e4FOgB/CG7hcSyh+jxwGXBr1O09hgWvTTazlcCbwJ/dfU5Q/lngLTNbBkwlsvLUTxRHXBufIgZ160j7vOxQ5rnV1O3n2SWbmDS6nG6d2iT8/UVaQ5dKRRIkN1hh+p1nllNVvZ0rBnYNO6SM4u4vAC+0KLsn6vH4Exz3BPDECV6bDEw+TvlDwEOnG4dE5oJe0KuIBbWJH3G7b2Y1bXOzuXNsv4S/t0hracRNJIE+c2EpPQs16iZyPJUVRbzz7j72HT6asPd8a/NeXlj+LreN6U1x+7yEva/ImVLiJpJAeTlZfPWKvizduIeXVu8IOxyRpDKiohh3WLIhcRvO/3jGKjq1zeX2y/ok7D1FzoYSN5EE+9zwMnp0asMDs3RfN5Fow8oKyc6yhM1zW1C7i6pV2/nK5X0paJObkPcUOVtK3EQSLDLq1o8lG/bwskbdRN7TPj+Hwd0LWJCAxM3duXf6Krp0zOeWi8vj/n4isaLETSQEn6sspXunNkzRHqYiH1BZUcTSjXs42tQc1/d5efUO3li3i7uu6Ee7PK3Tk9ShxE0kBPk52Xx1bF8Wrd/NqzU7ww5HJGmMqCjm8NFmVmzZd+rKZ8jd+fGMVfQsbMsNI8tOfYBIElHiJhKSz48oo1tBG+1hKhKlsrwIIK7z3Kav2Mabm/Zy9/j+5Odkx+19ROJBiZtISPJzsrlzbF8W1O5m3hqNuokAdC1oQ6/idnGb59bU7Nw3cxV9urTn0xf0jMt7iMSTEjeREF0/ooySgnwe0Fw3kfdUVhSxaP3uuPxOPL9sM9Xb6vnmRweQk60/gZJ69FMrEqI2udnceXlf3li3i3lrNeomApF5bjvqG6jdeTCm5z3a1Mz9M1fzke4FXHNu95ieWyRRlLiJhOyGkb3o2jGfKbNWhx2KSFI4Ns8t1pdLn1q4kQ27DjL5qgFkZVlMzy2SKErcRELWJjebr1zel9fX7WK+Rt1E6NulA4XtcmO6QOHw0SYenF3Dhb0KtU+wpDQlbiJJ4IujetFFo24iAGRlGZXlRSxcH7sN55+Yv5539x1m8lWDMNNom6QuJW4iSaBNbjb/57I+zFu7kzfWJWa7H5FkVllRzNrtB9hZf+Ssz1V/pJGfVq1hTL/OjO57TgyiEwmPEjeRJHHjqHI6d8hnyuzqsENJKg2NzTy/bAuLtjWGHYok0Hv3c4vBqNuvX1nHrgMN/PNVA8/6XCJhU+ImkiTa5mXzlcv78GrNzoTs1Zjs3t17mPtmrOLiH87hH3+/hJc2KXHLJOeVdiIvJ4tFZ5m47TnYwCMvreWjg0sYVlYYo+hEwqMN2kSSyI2jyvnZi2uYMms1T9w+KuxwEs7dmb92F4/Pr2X6im00u3PFwK5MGl1O85YVYYcnCZSfk83Q0k5n/SHm5y+tpb6hkW9NGBCjyETCpcRNJIm0zcvmjsv68J8vvMOi9bsYXl4cdkgJUX+kkWcXb+Lx+eup3lZPYbtcbh/TmxtHldPrnHYAVG19O+QoJdGGlxfz6CtrOdTQRNu81m9NVbf/MI+9Wsu1Q3swqFtBHCIUSTxdKhVJMjddVM457fN4IANWmNbU7ef/PfcWF/3nbP7vcyvIz8nmR589n/nfuZLvXPOR95I2yUwjKoo42uQs27TnjI7/6dw1NDQ180/jNdom6UMjbiJJpl1eDv9wWR9++Ld3WLxhNxf2Kgo7pJhqbGpm1so6ps2r5bU1O8nLzuLj53fn5tHlDCsr1K0a5D3DgwUKi9bv5qI+rVsNumn3QX73+gY+X1lKRef28QhPJBRK3ESS0M0XlfPIS2uZMms1v/nyyLDDiYkd9Ud48o0N/O71DWzZe5iehW2ZfNVArh9RRucO+WGHJ0mosF0eA0o6nNE8t6mzIyPWXx/XP9ZhiYQqbombmZUB04ASwIFH3H1KizoGTAGuAQ4Ct7r7YjMbBjwMFABNwA/c/X+DY3oDTwLnAIuAm929IV7tEAlD+/wc/uHSPvz3399hyYbdXJCio27uzuINe3h8Xi1/Xb6Vo03OmH6d+fdrhzBuUFdt8i2nNLy8mL+8uYXmZj/tbarWbK/n6cWbmTS6nB6FbeMcoUhixbPXbAS+5e6DgYuAr5nZ4BZ1rgb6B193EEnWIJLETXL3IcBE4AEzO7aO+7+B+929H7AbuC2ObRAJzaTR5RS1y2XK7NSb63aooYmnFmzk4w++wmcefo3ZK+u4cVQ5s791OU/cPooJQ7opaZPTMqKiiP2HG6mu23/ax9w/s5r8nCy+OrZfHCMTCUfcRtzcfSuwNXi838xWAj2B6KVh1wHT3N2B+WZWaGbd3b066jxbzKwO6GJme4FxwBeDl38D/DvvJ3wiaaN9fg63X9qHe6evYunGPSlxD6r1Ow/wxPz1PLVwE3sPHWVgSUe+/8lz+dQFPWmfr5kZ0nojKiIrqxfU7j6tlaFvb9nHX97cyteu6EuXjroEL+knIT2pmVUAFwCvt3ipJ7Ax6vmmoGxr1LEjgTxgDZHLo3vcvbFFfZG0dMvFFfzi5bVMnb2aX906Iuxwjqu52XmxejvT5tVSVb2dLDMmDunGzaPLGdW7WIsN5KyUFrWlpCCfhbW7uPmi8lPWv2/mKgra5HDHpX0TEJ1I4sU9cTOzDsDTwDfcfV8rj+0OPA7c4u7NrfkDYGZ3ELn8SklJCVVVVad1XH19/WnXTWVqZ+oY1xOeeaeOXz83m96dPnwvq7DaWN/gvLy5kTkbjrL9kNMp37i2Ty5jy3IoarOPwxuW8+KGGL5fGnwvpfXMjMryYhbWnnoHhcUbdjNrZR2TrxpIp3a5CYhOJPHimriZWS6RpO237v7McapsBsqinpcGZZhZAfBX4LvuPj94fSdQaGY5wajbe/VbcvdHgEcAKisrfezYsacVc1VVFadbN5Wpnalj+EVHmf3fc3l1TwFfuu7Do26JbuNbm/cybV4tzy3dwpHGZkZWFHPP6HKuGtKNvJz4zVs7m3aa2UQiC6GygV+6+w9bvP5N4HYic3O3A1929/WnWCg1DvgxkSsCi4Db3L3RzG4Evg0YsB+4092XBcfUBmVNQKO7V55RgzJMZUURf12+lS17Dp10scGPp6+ic4c8br24InHBiSRYPFeVGvAosNLd7ztBteeBu8zsSWAUsNfdt5pZHvAskflvfzxW2d3dzOYCnyWysvQW4Ll4tUEkGXRsE9lF4H9mVrN8017OK+2U8BiONDbxt+XvMm1eLYs37KFtbjafvrCUSaPL+Uj35L4jvZllAz8BPkpkesUCM3ve3aPn2y4BKt39oJndCfwIuJ73F0qtNrMewCIzmw7sIzLH9kp3rzaz7xHpjx4F1gGXu/tuM7uayAfI6P3LrnD3HXFtdJo5Ns9t4frdXHuCxO3Vmh28tmYn93x8sOZTSlqL50/3JcDNwHIzWxqU/RvQC8Ddfwa8QORWIDVEOsgvBfU+D1wGnGNmtwZlt7r7UiKfZJ80s+8T6WwfjWMbRJLCLZdE5rpNmb2aX96SuEGaLXsO8bvXN/Dkgg3sqG+gd+f23PPxwXxmeCmd2qbMpaiRQI27rwUIPiheR9RCKXefG1V/PnBTUH7chVJALtAQ9fpM4DvAo+7+Wotzlca8RRlmULeOtMvLZmHtLq4d2uNDr7s7905fRfdObfjiqF4hRCiSOPFcVfoKkUsFJ6vjwNeOU/4E8MQJjllLpCMWyRgFbXK5bUwf7p9VzVub93Juz/iNurk7r63ZybR5tcx8exsA4waVMGl0OWP6dT7te2klkeMtghp1groQucXQ31oWtlgo5UCOmVW6+0IiVwHKWh5znHM5MMPMHPh5MKVDTiEnO4sLexWx4ATz3GatrGPpxj388NPn0Sa39XuaiqQSjSeLpIhbL6ngl69EVpg+Min2o277Dx/lmcWbeXz+emrq6ilql8sdl/XlxlG9KCvOjD1DzewmoBK4vEX5BxZKBWU3APebWT4wg8i8tehjriCSuI2JKh7j7pvNrCsw08zecfeXjhPHGS2ugvRdxNGZBl7depQXZs6l+ciB99rY7M73XjtMSTujc/0aqqrWhhtoDKXr97KlTGhnLNuoxE0kRXRqm8uXL+nNlNmreXvLPgb3iM3csupt+5k2r5ZnF2/mQEMTQ8sK+Z/PDeVj53dPl9GLEy6CimZm44HvEpmfdiSq/HgLpXD3ecClQZ0JwICoY84Hfglc7e47o47ZHPxbZ2bPErl68KHE7UwXV0F6LMg5ntzSHfyp5nXal5+Lb1nxXhufX7aFjfuXMOWGYYwfll53h0rX72VLmdDOWLZRiZtICvnymN786tV1TJ29mp/dPPyMz3O0qZmZb29j2rxa5q/dRV5OFp84vweTRpczNAVu9NtKC4D+wXZ5m4EbeP8m3gCY2QXAz4GJ7l4XVX7chVLBa12DBCyfyNzbHwTlvYBniGzHVx1Vvz2QFdyQvD0wAfhezFubpoaVFZKdZSys3cXwvEhZY1Mz98+sZlC3jnzi/A/PfRNJR0rcRFJIp7a5fOmS3kydvZqVW/e1ekVn3f7DPPnGRn77+nq27TtCz8K2fHviIK4fUUZx+7w4RR2u4BYddwHTidwO5FfuviJYCbrQ3Z8H7gU6AH8I7he5wd2v5eQLpSab2ceJbB34sLvPCV6/h8jNwn8anOvYbT9KgGeDshzgd+7+9zg3P220z89hcPcCFtbuZngwtvn04k2s23GAX0yqTMW5lyJnRImbSIq57ZLe/PqVyKjbwzedetTN3Vm4fjfT5q3n729FNnq/tH9nfvDJ87hiUFeyM+APnru/QGQVe3TZPVGPx5/guJMtlJoMTD5O+e1E7gnXsnwtMLRVgcsHVFYU8fs3NtDYrw1HGpuYMms1Q8sKGf+RrmGHJpIwStxEUkyndrncekkFD86p4Z13T7wZycGGRp5buoVp89azcus+OrbJ4eaLKrjpol706dIhgRGLxEZleTG/frWWDfua+d3rG9iy9zA/+uxQbasmGUWJm0gKum1Mb379ai0Pzq7hcy3mY6/bcWyj943sP9zIoG4d+c9PnccnL+hBuzz9ykvqqqwoAmD5jiZefquG0X3O4ZJ+54QclUhiqRcXSUGF7fK45eJyflq1hosL2tLU7Mx9p45p89fzUvV2crKMq8/rzqTR5VSWF2lEQtJCSUEbehW3489rD9LYDD+/eaB+tiXjKHETSVG3j+nDY6/W8sjyIzz89lw27T5ESUE+/zR+AF8YWUbXgjZhhygSc5UVRTyz+CBXDurK8PKisMMRSTglbiIpqqh9HreN6c3UOTWM6t2W71z9ESYMKSE3O34bvYuE7dL+nXluyWa+OWHAqSuLpCElbiIp7O7xA+jdvJlPTRwddigiCXHd0J5YXTVDesRv2zeRZKaP5iIpLDvLKGqjX2PJHFlZRmG+fuYlc+mnX0RERCRFKHETERERSRFK3ERERERShBI3ERERkRShxE1EREQkRShxExEREUkRStxEREREUoQSNxEREZEUocRNREREJEUocRMRERFJEebuYccQd2a2HVh/mtU7AzviGE6yUDvTRya0EVrXznJ37xLPYBKllf0XZMbPQya0EdTOdNLaNp6wD8uIxK01zGyhu1eGHUe8qZ3pIxPaCJnTzrOVCf9PmdBGUDvTSSzbqEulIiIiIilCiZuIiIhIilDi9mGPhB1Agqid6SMT2giZ086zlQn/T5nQRlA700nM2qg5biIiIiIpQiNuIiIiIilCiVsUM5toZquowzPEAAAEQ0lEQVTMrMbM/jXseOLBzH5lZnVm9lbYscSLmZWZ2Vwze9vMVpjZ3WHHFA9m1sbM3jCzZUE7/yPsmOLFzLLNbImZ/SXsWJKV+q/0kQl9WCb1XxDbPkyJW8DMsoGfAFcDg4EvmNngcKOKi8eAiWEHEWeNwLfcfTBwEfC1NP1eHgHGuftQYBgw0cwuCjmmeLkbWBl2EMlK/VfayYQ+LJP6L4hhH6bE7X0jgRp3X+vuDcCTwHUhxxRz7v4SsCvsOOLJ3be6++Lg8X4ivyw9w40q9jyiPniaG3yl3aRVMysFPgb8MuxYkpj6rzSSCX1YpvRfEPs+TInb+3oCG6OebyLNflEykZlVABcAr4cbSXwEw+9LgTpgprunYzsfAP4FaA47kCSm/itNpXMfliH9F8S4D1PiJmnLzDoATwPfcPd9YccTD+7e5O7DgFJgpJmdG3ZMsWRmHwfq3H1R2LGIJFq692Hp3n9BfPowJW7v2wyURT0vDcokBZlZLpEO77fu/kzY8cSbu+8B5pJ+838uAa41s1oil//GmdkT4YaUlNR/pZlM6sPSuP+COPRhStzetwDob2a9zSwPuAF4PuSY5AyYmQGPAivd/b6w44kXM+tiZoXB47bAR4F3wo0qttz9O+5e6u4VRH4n57j7TSGHlYzUf6WRTOjDMqH/gvj0YUrcAu7eCNwFTCcyEfQpd18RblSxZ2a/B+YBA81sk5ndFnZMcXAJcDORTzZLg69rwg4qDroDc83sTSJ/uGe6u26XkYHUf6WdTOjD1H+dIe2cICIiIpIiNOImIiIikiKUuImIiIikCCVuIiIiIilCiZuIiIhIilDiJiIiIpIilLhJ0jOzpqgl8UvN7F9jeO4KM3srVucTEWlJfZjEUk7YAYichkPBtigiIqlIfZjEjEbcJGWZWa2Z/cjMlpvZG2bWLyivMLM5Zvammc02s15BeYmZPWtmy4Kvi4NTZZvZL8xshZnNCO7iLSISV+rD5EwocZNU0LbFZYbro17b6+7nAQ8BDwRlDwK/cffzgd8CU4PyqcCL7j4UuBA4dmf5/sBP3H0IsAf4TJzbIyKZRX2YxIx2TpCkZ2b17t7hOOW1wDh3XxtsyPyuu59jZjuA7u5+NCjf6u6dzWw7UOruR6LOUUFkq5X+wfNvA7nu/v34t0xEMoH6MIkljbhJqvMTPG6NI1GPm9DcTxFJHPVh0ipK3CTVXR/177zg8WvADcHjG4GXg8ezgTsBzCzbzDolKkgRkRNQHyatoqxcUkFbM1sa9fzv7n5sOX2Rmb1J5BPnF4KyrwO/NrPJwHbgS0H53cAjZnYbkU+ldwJb4x69iGQ69WESM5rjJikrmB9S6e47wo5FRKS11IfJmdClUhEREZEUoRE3ERERkRShETcRERGRFKHETURERCRFKHETERERSRFK3ERERERShBI3ERERkRShxE1EREQkRfx/SRYpQOQbV6QAAAAASUVORK5CYII=\n",
"text/plain": [
"<Figure size 720x360 with 2 Axes>"
]
},
"metadata": {
"tags": [],
"needs_background": "light"
}
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "_pCsTHON47sH"
},
"source": [
"# Adagrad, lr = 0.5\n",
"optimizer = tf.keras.optimizers.Adagrad(learning_rate=0.5)\n",
"model.compile(\n",
" optimizer=optimizer,\n",
" loss=loss_fn,\n",
" metrics=['accuracy'],\n",
")"
],
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "vQg-TZYG47sI",
"colab": {
"base_uri": "https://localhost:8080/"
},
"outputId": "3087db42-37b3-4e93-8ef2-b5739cfe4612"
},
"source": [
"history = model.fit(x_train, y_train, epochs=5)"
],
"execution_count": null,
"outputs": [
{
"output_type": "stream",
"text": [
"Epoch 1/5\n",
"1875/1875 [==============================] - 4s 2ms/step - loss: 2.0063 - accuracy: 0.2288\n",
"Epoch 2/5\n",
"1875/1875 [==============================] - 4s 2ms/step - loss: 1.9876 - accuracy: 0.2250\n",
"Epoch 3/5\n",
"1875/1875 [==============================] - 4s 2ms/step - loss: 1.9871 - accuracy: 0.2262\n",
"Epoch 4/5\n",
"1875/1875 [==============================] - 4s 2ms/step - loss: 1.9842 - accuracy: 0.2273\n",
"Epoch 5/5\n",
"1875/1875 [==============================] - 4s 2ms/step - loss: 1.9764 - accuracy: 0.2288\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "_VloUte647sJ",
"colab": {
"base_uri": "https://localhost:8080/"
},
"outputId": "8e424562-c2fd-4bf0-d97e-7894eda9eebc"
},
"source": [
"model.evaluate(x_test, y_test, verbose=2)"
],
"execution_count": null,
"outputs": [
{
"output_type": "stream",
"text": [
"313/313 - 0s - loss: 2.0497 - accuracy: 0.2448\n"
],
"name": "stdout"
},
{
"output_type": "execute_result",
"data": {
"text/plain": [
"[2.049726724624634, 0.24480000138282776]"
]
},
"metadata": {
"tags": []
},
"execution_count": 94
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "c8n-x6ym47sK",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 350
},
"outputId": "9a7ebc6f-fa4a-4915-f57c-90d1c9a7c699"
},
"source": [
"_plot_graphics(history)"
],
"execution_count": null,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x360 with 2 Axes>"
]
},
"metadata": {
"tags": [],
"needs_background": "light"
}
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "cWq_b_Rp48rD"
},
"source": [
"# Adagrad, lr = 0.9\n",
"optimizer = tf.keras.optimizers.Adagrad(learning_rate=0.9)\n",
"model.compile(\n",
" optimizer=optimizer,\n",
" loss=loss_fn,\n",
" metrics=['accuracy'],\n",
")"
],
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "fCaAvApn48rE",
"colab": {
"base_uri": "https://localhost:8080/"
},
"outputId": "3c85d2dc-a604-4096-e05f-1978a951da3e"
},
"source": [
"history = model.fit(x_train, y_train, epochs=5)"
],
"execution_count": null,
"outputs": [
{
"output_type": "stream",
"text": [
"Epoch 1/5\n",
"1875/1875 [==============================] - 4s 2ms/step - loss: 1.9880 - accuracy: 0.2269\n",
"Epoch 2/5\n",
"1875/1875 [==============================] - 4s 2ms/step - loss: 1.9678 - accuracy: 0.2342\n",
"Epoch 3/5\n",
"1875/1875 [==============================] - 4s 2ms/step - loss: 1.9731 - accuracy: 0.2367\n",
"Epoch 4/5\n",
"1875/1875 [==============================] - 4s 2ms/step - loss: 1.9677 - accuracy: 0.2405\n",
"Epoch 5/5\n",
"1875/1875 [==============================] - 4s 2ms/step - loss: 1.9542 - accuracy: 0.2393\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "jXmKGaSD48rE",
"colab": {
"base_uri": "https://localhost:8080/"
},
"outputId": "bb88d51a-89cd-42e2-a960-c9cfe732f893"
},
"source": [
"model.evaluate(x_test, y_test, verbose=2)"
],
"execution_count": null,
"outputs": [
{
"output_type": "stream",
"text": [
"313/313 - 0s - loss: 2.0263 - accuracy: 0.2533\n"
],
"name": "stdout"
},
{
"output_type": "execute_result",
"data": {
"text/plain": [
"[2.026276111602783, 0.2533000111579895]"
]
},
"metadata": {
"tags": []
},
"execution_count": 98
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "wQLxOZ8C48rE",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 350
},
"outputId": "0016be3d-0376-4139-d819-00a4bf687392"
},
"source": [
"_plot_graphics(history)"
],
"execution_count": null,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x360 with 2 Axes>"
]
},
"metadata": {
"tags": [],
"needs_background": "light"
}
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "KqkHiAvs49yW"
},
"source": [
"# Adagrad, lr = 1.5\n",
"optimizer = tf.keras.optimizers.Adagrad(learning_rate=1.5)\n",
"model.compile(\n",
" optimizer=optimizer,\n",
" loss=loss_fn,\n",
" metrics=['accuracy'],\n",
")"
],
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "cDe87zPk49yX",
"colab": {
"base_uri": "https://localhost:8080/"
},
"outputId": "1a77dbb6-9ad3-4140-8d9f-3c84df6cff11"
},
"source": [
"history = model.fit(x_train, y_train, epochs=5)"
],
"execution_count": null,
"outputs": [
{
"output_type": "stream",
"text": [
"Epoch 1/5\n",
"1875/1875 [==============================] - 4s 2ms/step - loss: 1.9810 - accuracy: 0.2379\n",
"Epoch 2/5\n",
"1875/1875 [==============================] - 4s 2ms/step - loss: 1.9696 - accuracy: 0.2351\n",
"Epoch 3/5\n",
"1875/1875 [==============================] - 4s 2ms/step - loss: 1.9536 - accuracy: 0.2375\n",
"Epoch 4/5\n",
"1875/1875 [==============================] - 4s 2ms/step - loss: 1.9528 - accuracy: 0.2376\n",
"Epoch 5/5\n",
"1875/1875 [==============================] - 4s 2ms/step - loss: 1.9485 - accuracy: 0.2416\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "EpEPE84k49yX",
"colab": {
"base_uri": "https://localhost:8080/"
},
"outputId": "af3bcc60-5e14-48f1-a424-ed538cbece83"
},
"source": [
"model.evaluate(x_test, y_test, verbose=2)"
],
"execution_count": null,
"outputs": [
{
"output_type": "stream",
"text": [
"313/313 - 0s - loss: 2.0226 - accuracy: 0.2551\n"
],
"name": "stdout"
},
{
"output_type": "execute_result",
"data": {
"text/plain": [
"[2.022629737854004, 0.2551000118255615]"
]
},
"metadata": {
"tags": []
},
"execution_count": 102
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "RhbsGkMb49yY",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 350
},
"outputId": "bae6435d-6503-4ea0-cfe4-2c07cee14596"
},
"source": [
"_plot_graphics(history)"
],
"execution_count": null,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x360 with 2 Axes>"
]
},
"metadata": {
"tags": [],
"needs_background": "light"
}
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "PZmXWdnTOOvO"
},
"source": [
"###RESULTADOS DE LOS METODOS DE OPTIMIZACION###"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "wg8JnQHNOiLb"
},
"source": [
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)"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "S4wA6-iSJw6X"
},
"source": [
"# 2\n",
"Reduzca el volumen de datos al 0.05% (600 datos). Esto eleva la dificultad del problema al contar con menos datos. Repita la actividad del punto anterior."
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "aTTaVjvUKFvW",
"outputId": "77d10e52-0dfa-413e-ac9c-905b26f76a3f"
},
"source": [
"import tensorflow as tf\n",
"import matplotlib.pyplot as plt\n",
"import numpy as np\n",
"\n",
"# 0.001,0.1,0.5,0.9,1.5\n",
"mnist = tf.keras.datasets.mnist\n",
"\n",
"(x_train, y_train), (x_test, y_test) = mnist.load_data()\n",
"x_train, x_test = x_train / 255.0, x_test / 255.0\n",
"n_train = x_train.shape[0]\n",
"n_red = np.round(n_train * 0.005)\n",
"np.random.seed(21)\n",
"chosen_idx = np.random.choice(n_train, replace = False, size = int(n_red))\n",
"x_train = x_train[chosen_idx,:,:]\n",
"y_train = y_train[chosen_idx]\n",
"print(len(x_train))\n",
"print(len(y_train))"
],
"execution_count": null,
"outputs": [
{
"output_type": "stream",
"text": [
"300\n",
"300\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "-et4IzqJMqKJ"
},
"source": [
"model = tf.keras.models.Sequential([\n",
" tf.keras.layers.Flatten(input_shape=(28, 28)),\n",
" tf.keras.layers.Dense(128, activation='relu'),\n",
" tf.keras.layers.Dropout(0.2),\n",
" tf.keras.layers.Dense(10)\n",
"])"
],
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "qWNEejKZM8b2"
},
"source": [
"loss_fn = tf.keras.losses.SparseCategoricalCrossentropy(from_logits=True)"
],
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "zyZUbUAWLZl1"
},
"source": [
"# SGD, lr = 0.001\n",
"optimizer = tf.keras.optimizers.SGD(learning_rate=0.001)\n",
"model.compile(\n",
" optimizer=optimizer,\n",
" loss=loss_fn,\n",
" metrics=['accuracy'],\n",
")"
],
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "_hevAWp4McDW",
"outputId": "42babc77-5f41-4492-a5d3-0bc35064ee25"
},
"source": [
"history = model.fit(x_train, y_train, epochs=5)"
],
"execution_count": null,
"outputs": [
{
"output_type": "stream",
"text": [
"Epoch 1/5\n",
"10/10 [==============================] - 0s 2ms/step - loss: 2.3550 - accuracy: 0.0933\n",
"Epoch 2/5\n",
"10/10 [==============================] - 0s 2ms/step - loss: 2.3419 - accuracy: 0.1167\n",
"Epoch 3/5\n",
"10/10 [==============================] - 0s 2ms/step - loss: 2.3251 - accuracy: 0.1333\n",
"Epoch 4/5\n",
"10/10 [==============================] - 0s 2ms/step - loss: 2.3166 - accuracy: 0.1200\n",
"Epoch 5/5\n",
"10/10 [==============================] - 0s 2ms/step - loss: 2.3020 - accuracy: 0.1567\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "LzWiNDsrMcGk",
"outputId": "50704b75-3d02-4cf0-be1e-66f80660651e"
},
"source": [
"model.evaluate(x_test, y_test, verbose=2)"
],
"execution_count": null,
"outputs": [
{
"output_type": "stream",
"text": [
"313/313 - 0s - loss: 2.3524 - accuracy: 0.1234\n"
],
"name": "stdout"
},
{
"output_type": "execute_result",
"data": {
"text/plain": [
"[2.352386236190796, 0.1234000027179718]"
]
},
"metadata": {
"tags": []
},
"execution_count": 23
}
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 350
},
"id": "9r1_k-KtMcI1",
"outputId": "2842b55a-fdc1-42e5-c6f7-91fec65c248f"
},
"source": [
"_plot_graphics(history)"
],
"execution_count": null,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x360 with 2 Axes>"
]
},
"metadata": {
"tags": [],
"needs_background": "light"
}
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "9AjilxGmNexs"
},
"source": [
"# SGD, lr = 0.1\n",
"optimizer = tf.keras.optimizers.SGD(learning_rate=0.1)\n",
"model.compile(\n",
" optimizer=optimizer,\n",
" loss=loss_fn,\n",
" metrics=['accuracy'],\n",
")"
],
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "Z-FblLNqNe0t",
"outputId": "0bf267af-0050-4e26-88c6-22031aee74e1"
},
"source": [
"history = model.fit(x_train, y_train, epochs=5)"
],
"execution_count": null,
"outputs": [
{
"output_type": "stream",
"text": [
"Epoch 1/5\n",
"10/10 [==============================] - 0s 2ms/step - loss: 1.9859 - accuracy: 0.3667\n",
"Epoch 2/5\n",
"10/10 [==============================] - 0s 2ms/step - loss: 1.3642 - accuracy: 0.6700\n",
"Epoch 3/5\n",
"10/10 [==============================] - 0s 2ms/step - loss: 1.0050 - accuracy: 0.7667\n",
"Epoch 4/5\n",
"10/10 [==============================] - 0s 2ms/step - loss: 0.7640 - accuracy: 0.8400\n",
"Epoch 5/5\n",
"10/10 [==============================] - 0s 2ms/step - loss: 0.6600 - accuracy: 0.8267\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "sW63c6O1Ne9U",
"outputId": "7f8204e8-f866-497d-c66d-3b27659a0e0b"
},
"source": [
"model.evaluate(x_test, y_test, verbose=2)"
],
"execution_count": null,
"outputs": [
{
"output_type": "stream",
"text": [
"313/313 - 0s - loss: 0.8008 - accuracy: 0.7602\n"
],
"name": "stdout"
},
{
"output_type": "execute_result",
"data": {
"text/plain": [
"[0.8008462190628052, 0.760200023651123]"
]
},
"metadata": {
"tags": []
},
"execution_count": 28
}
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 350
},
"id": "FJ8Ib6hVNfAB",
"outputId": "135e9e86-a7ce-4692-8efb-d5e3e897931c"
},
"source": [
"_plot_graphics(history)"
],
"execution_count": null,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x360 with 2 Axes>"
]
},
"metadata": {
"tags": [],
"needs_background": "light"
}
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "vE8xONalNfTN"
},
"source": [
"# SGD, lr = 0.5\n",
"optimizer = tf.keras.optimizers.SGD(learning_rate=0.5)\n",
"model.compile(\n",
" optimizer=optimizer,\n",
" loss=loss_fn,\n",
" metrics=['accuracy'],\n",
")"
],
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "ipBqR1_jNfWB",
"outputId": "ee9748fc-7d91-4218-a571-4735c1960588"
},
"source": [
"history = model.fit(x_train, y_train, epochs=5)"
],
"execution_count": null,
"outputs": [
{
"output_type": "stream",
"text": [
"Epoch 1/5\n",
"10/10 [==============================] - 0s 3ms/step - loss: 1.1337 - accuracy: 0.6600\n",
"Epoch 2/5\n",
"10/10 [==============================] - 0s 2ms/step - loss: 0.7603 - accuracy: 0.7600\n",
"Epoch 3/5\n",
"10/10 [==============================] - 0s 2ms/step - loss: 0.5979 - accuracy: 0.7900\n",
"Epoch 4/5\n",
"10/10 [==============================] - 0s 2ms/step - loss: 0.5158 - accuracy: 0.8533\n",
"Epoch 5/5\n",
"10/10 [==============================] - 0s 2ms/step - loss: 0.2740 - accuracy: 0.9233\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "yJKTHjBSNfct",
"outputId": "f2b6b8e5-d477-43a3-aeb6-2c91924d80c2"
},
"source": [
"model.evaluate(x_test, y_test, verbose=2)"
],
"execution_count": null,
"outputs": [
{
"output_type": "stream",
"text": [
"313/313 - 0s - loss: 0.5899 - accuracy: 0.8231\n"
],
"name": "stdout"
},
{
"output_type": "execute_result",
"data": {
"text/plain": [
"[0.5898751616477966, 0.8230999708175659]"
]
},
"metadata": {
"tags": []
},
"execution_count": 32
}
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 350
},
"id": "-vzWnpMiNfft",
"outputId": "7f9d0dfe-80eb-46e8-b549-c4c174306154"
},
"source": [
"_plot_graphics(history)"
],
"execution_count": null,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x360 with 2 Axes>"
]
},
"metadata": {
"tags": [],
"needs_background": "light"
}
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "1szWuYCjNfqe"
},
"source": [
"# SGD, lr = 0.9\n",
"optimizer = tf.keras.optimizers.SGD(learning_rate=0.9)\n",
"model.compile(\n",
" optimizer=optimizer,\n",
" loss=loss_fn,\n",
" metrics=['accuracy'],\n",
")"
],
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "6kDH8NsmNftf",
"outputId": "12e07ddb-a459-4f66-eb1f-e7bed0ed508a"
},
"source": [
"history = model.fit(x_train, y_train, epochs=5)"
],
"execution_count": null,
"outputs": [
{
"output_type": "stream",
"text": [
"Epoch 1/5\n",
"10/10 [==============================] - 0s 2ms/step - loss: 2.4734 - accuracy: 0.6200\n",
"Epoch 2/5\n",
"10/10 [==============================] - 0s 2ms/step - loss: 1.4327 - accuracy: 0.6133\n",
"Epoch 3/5\n",
"10/10 [==============================] - 0s 2ms/step - loss: 2.9793 - accuracy: 0.4933\n",
"Epoch 4/5\n",
"10/10 [==============================] - 0s 2ms/step - loss: 1.2516 - accuracy: 0.5967\n",
"Epoch 5/5\n",
"10/10 [==============================] - 0s 2ms/step - loss: 0.9519 - accuracy: 0.6667\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "NXctR8B5Nf1X",
"outputId": "e46e78fe-0b8e-400d-cae7-168dc1378598"
},
"source": [
"model.evaluate(x_test, y_test, verbose=2)"
],
"execution_count": null,
"outputs": [
{
"output_type": "stream",
"text": [
"313/313 - 0s - loss: 1.0233 - accuracy: 0.6720\n"
],
"name": "stdout"
},
{
"output_type": "execute_result",
"data": {
"text/plain": [
"[1.0232516527175903, 0.671999990940094]"
]
},
"metadata": {
"tags": []
},
"execution_count": 36
}
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 350
},
"id": "pT9pGpqPNf4V",
"outputId": "a5796217-f817-4ba4-f287-a0152879506d"
},
"source": [
"_plot_graphics(history)"
],
"execution_count": null,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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