Copy_of_tf2_tpu_transformer_chatbot.ipynb

{
  "cells": [
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "view-in-github",
        "colab_type": "text"
      },
      "source": [
        "<a href=\"https://colab.research.google.com/github/feranzie/basic-chatbot/blob/main/Copy_of_tf2_tpu_transformer_chatbot.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "nd8ddC7NQ8uZ",
        "pycharm": {
          "name": "#%% md\n"
        }
      },
      "source": [
        "# Transformer Chatbot"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "YcK7-_3RxRvK",
        "pycharm": {
          "name": "#%% md\n"
        }
      },
      "source": [
        "<table class=\"tfo-notebook-buttons\" align=\"left\">\n",
        "  <td>\n",
        "    <a target=\"_blank\" href=\"https://colab.research.google.com/github/bryanlimy/tf2-transformer-chatbot/blob/main/tf2_tpu_transformer_chatbot.ipynb\"><img src=\"https://www.tensorflow.org/images/colab_logo_32px.png\" />Run in Google Colab</a>\n",
        "  </td>\n",
        "  <td>\n",
        "    <a target=\"_blank\" href=\"https://github.com/bryanlimy/tf2-transformer-chatbot/blob/main/tf2_tpu_transformer_chatbot.ipynb\"><img src=\"https://www.tensorflow.org/images/GitHub-Mark-32px.png\" />View source on GitHub</a>\n",
        "  </td>\n",
        "</table>"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "rHMPkA2eQrpT",
        "pycharm": {
          "name": "#%% md\n"
        }
      },
      "source": [
        "This tutorial trains a <a href=\"https://arxiv.org/abs/1706.03762\" class=\"external\">Transformer model</a> to be a chatbot. This is an advanced example that assumes knowledge of [text generation](https://tensorflow.org/alpha/tutorials/text/text_generation), [attention](https://www.tensorflow.org/alpha/tutorials/text/nmt_with_attention) and [transformer](https://www.tensorflow.org/alpha/tutorials/text/transformer).\n",
        "\n",
        "The core idea behind the Transformer model is *self-attention*—the ability to attend to different positions of the input sequence to compute a representation of that sequence. Transformer creates stacks of self-attention layers and is explained below in the sections *Scaled dot product attention* and *Multi-head attention*.\n",
        "\n",
        "Note: The model architecture is identical to the example in [Transformer model for language understanding](https://www.tensorflow.org/alpha/tutorials/text/transformer), and we demonstrate how to implement the same model in the Functional approach instead of Subclassing."
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "from __future__ import absolute_import, division, print_function, unicode_literals"
      ],
      "metadata": {
        "id": "IZ-MkFt-hynY"
      },
      "execution_count": 2,
      "outputs": []
    },
    {
      "cell_type": "code",
      "execution_count": 1,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "mb_5bl7G_n30",
        "outputId": "411b2c29-ed18-47d8-f27d-addc1ee4fd31",
        "pycharm": {
          "name": "#%%\n"
        }
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
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            "Tensorflow version 2.9.1\n"
          ]
        }
      ],
      "source": [
        "!pip install tensorflow==2.9.1 tensorflow_datasets==4.6.0\n",
        "\n",
        "#from __future__ import absolute_import, division, print_function, unicode_literals\n",
        "\n",
        "import sys\n",
        "\n",
        "import os\n",
        "import re\n",
        "import numpy as np\n",
        "from time import time\n",
        "import tensorflow as tf\n",
        "import matplotlib.pyplot as plt\n",
        "import tensorflow_datasets as tfds\n",
        "\n",
        "tf.keras.utils.set_random_seed(1234)\n",
        "\n",
        "print(f\"Tensorflow version {tf.__version__}\")"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "-YXFrSnNE_2j",
        "pycharm": {
          "name": "#%% md\n"
        }
      },
      "source": [
        "### GPU / TPU initialization\n",
        "\n",
        "On Google Colab, select `TPU` or `GPU` hardware accelerator.\n"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 3,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "Rz2ZbpAREmRA",
        "outputId": "24d5ae4b-85c7-4a2b-8678-c7fd76e3aba6",
        "pycharm": {
          "name": "#%%\n"
        }
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "REPLICAS: 1\n"
          ]
        }
      ],
      "source": [
        "try:\n",
        "    tpu = tf.distribute.cluster_resolver.TPUClusterResolver()\n",
        "    print(\"Running on TPU {}\".format(tpu.cluster_spec().as_dict()[\"worker\"]))\n",
        "except ValueError:\n",
        "    tpu = None\n",
        "\n",
        "if tpu:\n",
        "    tf.config.experimental_connect_to_cluster(tpu)\n",
        "    tf.tpu.experimental.initialize_tpu_system(tpu)\n",
        "    strategy = tf.distribute.experimental.TPUStrategy(tpu)\n",
        "else:\n",
        "    strategy = tf.distribute.get_strategy()\n",
        "\n",
        "print(f\"REPLICAS: {strategy.num_replicas_in_sync}\")"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "skMfzRV5cEnb",
        "pycharm": {
          "name": "#%% md\n"
        }
      },
      "source": [
        "## Hyperparameters\n",
        "\n",
        "To keep this example small and relatively fast, the values for *num_layers, d_model, and units* have been reduced. See the [paper](https://arxiv.org/abs/1706.03762) for all the other versions of the transformer."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 4,
      "metadata": {
        "id": "alnYEatYcHp7",
        "pycharm": {
          "name": "#%%\n"
        }
      },
      "outputs": [],
      "source": [
        "# Maximum sentence length\n",
        "MAX_LENGTH = 40\n",
        "\n",
        "# Maximum number of samples to preprocess\n",
        "MAX_SAMPLES = 50000\n",
        "\n",
        "# For tf.data.Dataset\n",
        "BATCH_SIZE = 64 * strategy.num_replicas_in_sync\n",
        "BUFFER_SIZE = 20000\n",
        "\n",
        "# For Transformer\n",
        "NUM_LAYERS = 2\n",
        "D_MODEL = 256\n",
        "NUM_HEADS = 8\n",
        "UNITS = 512\n",
        "DROPOUT = 0.1\n",
        "\n",
        "EPOCHS = 40"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "y0AqALdZCbCW",
        "pycharm": {
          "name": "#%% md\n"
        }
      },
      "source": [
        "## Prepare Dataset"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "awb4RH3XCobf",
        "pycharm": {
          "name": "#%% md\n"
        }
      },
      "source": [
        "We will use the conversations in movies and TV shows provided by [Cornell Movie-Dialogs Corpus](https://www.cs.cornell.edu/~cristian/Cornell_Movie-Dialogs_Corpus.html), which contains more than 220 thousands conversational exchanges between more than 10k pairs of movie characters, as our dataset.\n",
        "\n",
        "`movie_conversations.txt` contains list of the conversation IDs and `movie_lines.text` contains the text of assoicated with each conversation ID. For further  information regarding the dataset, please check the README file in the zip file.\n"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 6,
      "metadata": {
        "id": "S17Nfn6W_vhd",
        "pycharm": {
          "name": "#%%\n"
        },
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "bdf29c89-d1da-4bc0-818f-da7ea967abe7"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Downloading data from http://www.cs.cornell.edu/~cristian/data/cornell_movie_dialogs_corpus.zip\n",
            "9916637/9916637 [==============================] - 0s 0us/step\n"
          ]
        }
      ],
      "source": [
        "path_to_zip = tf.keras.utils.get_file(\n",
        "    \"cornell_movie_dialogs.zip\",\n",
        "    origin=\"http://www.cs.cornell.edu/~cristian/data/cornell_movie_dialogs_corpus.zip\",\n",
        "    extract=True,\n",
        ")\n",
        "\n",
        "path_to_dataset = os.path.join(\n",
        "    os.path.dirname(path_to_zip), \"cornell movie-dialogs corpus\"\n",
        ")\n",
        "\n",
        "path_to_movie_lines = os.path.join(path_to_dataset, \"movie_lines.txt\")\n",
        "path_to_movie_conversations = os.path.join(path_to_dataset, \"movie_conversations.txt\")"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "iZMuzj0cVr3E",
        "pycharm": {
          "name": "#%% md\n"
        }
      },
      "source": [
        "### Load and preprocess data\n",
        "\n",
        "To keep this example simple and fast, we are limiting the maximum number of training samples to`MAX_SAMPLES=25000` and the maximum length of the sentence to be `MAX_LENGTH=40`.\n",
        "\n",
        "We preprocess our dataset in the following order:\n",
        "* Extract `MAX_SAMPLES` conversation pairs into list of `questions` and `answers.\n",
        "* Preprocess each sentence by removing special characters in each sentence.\n",
        "* Build tokenizer (map text to ID and ID to text) using [TensorFlow Datasets SubwordTextEncoder](https://www.tensorflow.org/datasets/api_docs/python/tfds/features/text/SubwordTextEncoder).\n",
        "* Tokenize each sentence and add `START_TOKEN` and `END_TOKEN` to indicate the start and end of each sentence.\n",
        "* Filter out sentence that has more than `MAX_LENGTH` tokens.\n",
        "* Pad tokenized sentences to `MAX_LENGTH`\n",
        "\n"
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "x = {}\n",
        "with open(path_to_movie_conversations, \"r\") as file:\n",
        "    lines = file.readlines()\n",
        "    for line in lines:\n",
        "        parts = line.replace(\"\\n\", \"\").split(\" +++$+++ \")\n",
        "        x[parts[0]] = parts[4]"
      ],
      "metadata": {
        "id": "fgBh9nMBkTWM",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 207
        },
        "outputId": "5c9bbe1e-9645-4070-8006-214e0d16ffbd"
      },
      "execution_count": 12,
      "outputs": [
        {
          "output_type": "error",
          "ename": "IndexError",
          "evalue": "ignored",
          "traceback": [
            "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
            "\u001b[0;31mIndexError\u001b[0m                                Traceback (most recent call last)",
            "\u001b[0;32m<ipython-input-12-982a60f2a094>\u001b[0m in \u001b[0;36m<module>\u001b[0;34m\u001b[0m\n\u001b[1;32m      4\u001b[0m     \u001b[0;32mfor\u001b[0m \u001b[0mline\u001b[0m \u001b[0;32min\u001b[0m \u001b[0mlines\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      5\u001b[0m         \u001b[0mparts\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mline\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mreplace\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m\"\\n\"\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m\"\"\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0msplit\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m\" +++$+++ \"\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 6\u001b[0;31m         \u001b[0mx\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0mparts\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;36m0\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m]\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mparts\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;36m4\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
            "\u001b[0;31mIndexError\u001b[0m: list index out of range"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "parts"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "euJVR0MYcZpY",
        "outputId": "1d06b7c6-9219-4741-fe2a-c70a240e6501"
      },
      "execution_count": 14,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "['u0', 'u2', 'm0', \"['L194', 'L195', 'L196', 'L197']\"]"
            ]
          },
          "metadata": {},
          "execution_count": 14
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "parts[4]"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 171
        },
        "id": "9yz6qzv6lBfY",
        "outputId": "775fb99d-318b-4205-ce5e-3342a3738ff1"
      },
      "execution_count": 15,
      "outputs": [
        {
          "output_type": "error",
          "ename": "IndexError",
          "evalue": "ignored",
          "traceback": [
            "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
            "\u001b[0;31mIndexError\u001b[0m                                Traceback (most recent call last)",
            "\u001b[0;32m<ipython-input-15-cb022b7ba876>\u001b[0m in \u001b[0;36m<module>\u001b[0;34m\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m \u001b[0mparts\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;36m4\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
            "\u001b[0;31mIndexError\u001b[0m: list index out of range"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "x = {}\n",
        "x[parts[0]] = parts[4]"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 189
        },
        "id": "R3JPBy2IlpqC",
        "outputId": "72d008ad-d119-475c-af25-1ca61821f8cd"
      },
      "execution_count": 10,
      "outputs": [
        {
          "output_type": "error",
          "ename": "IndexError",
          "evalue": "ignored",
          "traceback": [
            "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
            "\u001b[0;31mIndexError\u001b[0m                                Traceback (most recent call last)",
            "\u001b[0;32m<ipython-input-10-a916ce86ebf5>\u001b[0m in \u001b[0;36m<module>\u001b[0;34m\u001b[0m\n\u001b[1;32m      1\u001b[0m \u001b[0mx\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;34m{\u001b[0m\u001b[0;34m}\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 2\u001b[0;31m \u001b[0mx\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0mparts\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;36m0\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m]\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mparts\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;36m4\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
            "\u001b[0;31mIndexError\u001b[0m: list index out of range"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 16,
      "metadata": {
        "id": "_B147qKb_0ks",
        "pycharm": {
          "name": "#%%\n"
        }
      },
      "outputs": [],
      "source": [
        "\n",
        "def preprocess_sentence(sentence):\n",
        "    sentence = sentence.lower().strip()\n",
        "    # creating a space between a word and the punctuation following it\n",
        "    # eg: \"he is a boy.\" => \"he is a boy .\"\n",
        "    sentence = re.sub(r\"([?.!,])\", r\" \\1 \", sentence)\n",
        "    sentence = re.sub(r'[\" \"]+', \" \", sentence)\n",
        "    # removing contractions\n",
        "    sentence = re.sub(r\"i'm\", \"i am\", sentence)\n",
        "    sentence = re.sub(r\"he's\", \"he is\", sentence)\n",
        "    sentence = re.sub(r\"she's\", \"she is\", sentence)\n",
        "    sentence = re.sub(r\"it's\", \"it is\", sentence)\n",
        "    sentence = re.sub(r\"that's\", \"that is\", sentence)\n",
        "    sentence = re.sub(r\"what's\", \"that is\", sentence)\n",
        "    sentence = re.sub(r\"where's\", \"where is\", sentence)\n",
        "    sentence = re.sub(r\"how's\", \"how is\", sentence)\n",
        "    sentence = re.sub(r\"\\'ll\", \" will\", sentence)\n",
        "    sentence = re.sub(r\"\\'ve\", \" have\", sentence)\n",
        "    sentence = re.sub(r\"\\'re\", \" are\", sentence)\n",
        "    sentence = re.sub(r\"\\'d\", \" would\", sentence)\n",
        "    sentence = re.sub(r\"\\'re\", \" are\", sentence)\n",
        "    sentence = re.sub(r\"won't\", \"will not\", sentence)\n",
        "    sentence = re.sub(r\"can't\", \"cannot\", sentence)\n",
        "    sentence = re.sub(r\"n't\", \" not\", sentence)\n",
        "    sentence = re.sub(r\"n'\", \"ng\", sentence)\n",
        "    sentence = re.sub(r\"'bout\", \"about\", sentence)\n",
        "    # replacing everything with space except (a-z, A-Z, \".\", \"?\", \"!\", \",\")\n",
        "    sentence = re.sub(r\"[^a-zA-Z?.!,]+\", \" \", sentence)\n",
        "    sentence = sentence.strip()\n",
        "    return sentence\n",
        "\n",
        "\n",
        "def load_conversations():\n",
        "    # dictionary of line id to text\n",
        "    id2line = {}\n",
        "    with open(path_to_movie_lines, errors=\"ignore\") as file:\n",
        "        lines = file.readlines()\n",
        "    for line in lines:\n",
        "        parts = line.replace(\"\\n\", \"\").split(\" +++$+++ \")\n",
        "        id2line[parts[0]] = parts[4]\n",
        "\n",
        "    inputs, outputs = [], []\n",
        "    with open(path_to_movie_conversations, \"r\") as file:\n",
        "        lines = file.readlines()\n",
        "    for line in lines:\n",
        "        parts = line.replace(\"\\n\", \"\").split(\" +++$+++ \")\n",
        "        # get conversation in a list of line ID\n",
        "        conversation = [line[1:-1] for line in parts[3][1:-1].split(\", \")]\n",
        "        for i in range(len(conversation) - 1):\n",
        "            inputs.append(preprocess_sentence(id2line[conversation[i]]))\n",
        "            outputs.append(preprocess_sentence(id2line[conversation[i + 1]]))\n",
        "            if len(inputs) >= MAX_SAMPLES:\n",
        "                return inputs, outputs\n",
        "    return inputs, outputs\n",
        "\n",
        "\n",
        "questions, answers = load_conversations()"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 17,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "mfOOK5f7Wm6c",
        "outputId": "9ce99538-e737-4fa2-e407-0101024cc9ae",
        "pycharm": {
          "name": "#%%\n"
        }
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Sample question: i really , really , really wanna go , but i cannot . not unless my sister goes .\n",
            "Sample answer: i am working on it . but she does not seem to be going for him .\n"
          ]
        }
      ],
      "source": [
        "print(f\"Sample question: {questions[20]}\")\n",
        "print(f\"Sample answer: {answers[20]}\")"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 18,
      "metadata": {
        "id": "s6XX2udMTCQt",
        "pycharm": {
          "name": "#%%\n"
        }
      },
      "outputs": [],
      "source": [
        "# Build tokenizer using tfds for both questions and answers\n",
        "tokenizer = tfds.deprecated.text.SubwordTextEncoder.build_from_corpus(\n",
        "    questions + answers, target_vocab_size=2**13\n",
        ")\n",
        "\n",
        "# Define start and end token to indicate the start and end of a sentence\n",
        "START_TOKEN, END_TOKEN = [tokenizer.vocab_size], [tokenizer.vocab_size + 1]\n",
        "\n",
        "# Vocabulary size plus start and end token\n",
        "VOCAB_SIZE = tokenizer.vocab_size + 2"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 19,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "h5h8pvRUTFt5",
        "outputId": "fc23be74-09dd-405b-fcd3-5bacbf8fbf7b",
        "pycharm": {
          "name": "#%%\n"
        }
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Tokenized sample question: [4, 271, 3, 271, 3, 141, 385, 173, 3, 40, 4, 611, 2, 11, 864, 30, 2021, 3086, 1]\n"
          ]
        }
      ],
      "source": [
        "print(f\"Tokenized sample question: {tokenizer.encode(questions[20])}\")"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 20,
      "metadata": {
        "id": "YESTPgeg_XgT",
        "pycharm": {
          "name": "#%%\n"
        }
      },
      "outputs": [],
      "source": [
        "# Tokenize, filter and pad sentences\n",
        "def tokenize_and_filter(inputs, outputs):\n",
        "    tokenized_inputs, tokenized_outputs = [], []\n",
        "\n",
        "    for (sentence1, sentence2) in zip(inputs, outputs):\n",
        "        # tokenize sentence\n",
        "        sentence1 = START_TOKEN + tokenizer.encode(sentence1) + END_TOKEN\n",
        "        sentence2 = START_TOKEN + tokenizer.encode(sentence2) + END_TOKEN\n",
        "        # check tokenized sentence max length\n",
        "        if len(sentence1) <= MAX_LENGTH and len(sentence2) <= MAX_LENGTH:\n",
        "            tokenized_inputs.append(sentence1)\n",
        "            tokenized_outputs.append(sentence2)\n",
        "\n",
        "    # pad tokenized sentences\n",
        "    tokenized_inputs = tf.keras.preprocessing.sequence.pad_sequences(\n",
        "        tokenized_inputs, maxlen=MAX_LENGTH, padding=\"post\"\n",
        "    )\n",
        "    tokenized_outputs = tf.keras.preprocessing.sequence.pad_sequences(\n",
        "        tokenized_outputs, maxlen=MAX_LENGTH, padding=\"post\"\n",
        "    )\n",
        "\n",
        "    return tokenized_inputs, tokenized_outputs\n",
        "\n",
        "\n",
        "questions, answers = tokenize_and_filter(questions, answers)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 21,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "pohHm8IRWlIH",
        "outputId": "3080d6e6-b58b-4c5e-e597-d0943adb94f0",
        "pycharm": {
          "name": "#%%\n"
        }
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Vocab size: 8279\n",
            "Number of samples: 44131\n"
          ]
        }
      ],
      "source": [
        "print(f\"Vocab size: {VOCAB_SIZE}\")\n",
        "print(f\"Number of samples: {len(questions)}\")"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "S50jT4upWh5c",
        "pycharm": {
          "name": "#%% md\n"
        }
      },
      "source": [
        "### Create `tf.data.Dataset`\n",
        "\n",
        "We are going to use the [tf.data.Dataset API](https://www.tensorflow.org/api_docs/python/tf/data) to contruct our input pipline in order to utilize features like caching and prefetching to speed up the training process.\n",
        "\n",
        "The transformer is an auto-regressive model: it makes predictions one part at a time, and uses its output so far to decide what to do next.\n",
        "\n",
        "During training this example uses teacher-forcing. Teacher forcing is passing the true output to the next time step regardless of what the model predicts at the current time step.\n",
        "\n",
        "As the transformer predicts each word, self-attention allows it to look at the previous words in the input sequence to better predict the next word.\n",
        "\n",
        "To prevent the model from peaking at the expected output the model uses a look-ahead mask.\n",
        "\n",
        "Target is divided into `decoder_inputs` which padded as an input to the decoder and `cropped_targets` for calculating our loss and accuracy."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 22,
      "metadata": {
        "id": "pttC3XxgAXWQ",
        "pycharm": {
          "name": "#%%\n"
        }
      },
      "outputs": [],
      "source": [
        "# decoder inputs use the previous target as input\n",
        "# remove START_TOKEN from targets\n",
        "dataset = tf.data.Dataset.from_tensor_slices(\n",
        "    (\n",
        "        {\"inputs\": questions, \"dec_inputs\": answers[:, :-1]},\n",
        "        {\"outputs\": answers[:, 1:]},\n",
        "    )\n",
        ")\n",
        "\n",
        "dataset = dataset.cache()\n",
        "dataset = dataset.shuffle(BUFFER_SIZE)\n",
        "dataset = dataset.batch(BATCH_SIZE)\n",
        "dataset = dataset.prefetch(tf.data.AUTOTUNE)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 23,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "mU8yNWpwPlS7",
        "outputId": "59fdd7eb-a769-48ca-aafe-6c04a98d1577",
        "pycharm": {
          "name": "#%%\n"
        }
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "<PrefetchDataset element_spec=({'inputs': TensorSpec(shape=(None, 40), dtype=tf.int32, name=None), 'dec_inputs': TensorSpec(shape=(None, 39), dtype=tf.int32, name=None)}, {'outputs': TensorSpec(shape=(None, 39), dtype=tf.int32, name=None)})>\n"
          ]
        }
      ],
      "source": [
        "print(dataset)"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "s9eeMPjGXmI1",
        "pycharm": {
          "name": "#%% md\n"
        }
      },
      "source": [
        "## Attention\n",
        "\n"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "uctkwvPZVSzu",
        "pycharm": {
          "name": "#%% md\n"
        }
      },
      "source": [
        "### Scaled dot product Attention\n",
        "\n",
        "The scaled dot-product attention function used by the transformer takes three inputs: Q (query), K (key), V (value). The equation used to calculate the attention weights is:\n",
        "\n",
        "$$\\Large{Attention(Q, K, V) = softmax_k(\\frac{QK^T}{\\sqrt{d_k}}) V} $$\n",
        "\n",
        "As the softmax normalization is done on the `key`, its values decide the amount of importance given to the `query`.\n",
        "\n",
        "The output represents the multiplication of the attention weights and the `value` vector. This ensures that the words we want to focus on are kept as is and the irrelevant words are flushed out.\n",
        "\n",
        "The dot-product attention is scaled by a factor of square root of the depth. This is done because for large values of depth, the dot product grows large in magnitude pushing the softmax function where it has small gradients resulting in a very hard softmax. \n",
        "\n",
        "For example, consider that `query` and `key` have a mean of 0 and variance of 1. Their matrix multiplication will have a mean of 0 and variance of `dk`. Hence, *square root of `dk`* is used for scaling (and not any other number) because the matmul of `query` and `key` should have a mean of 0 and variance of 1, so that we get a gentler softmax.\n",
        "\n",
        "The mask is multiplied with *-1e9 (close to negative infinity).* This is done because the mask is summed with the scaled matrix multiplication of `query` and `key` and is applied immediately before a softmax. The goal is to zero out these cells, and large negative inputs to softmax are near zero in the output."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 24,
      "metadata": {
        "id": "ENfqAFna_50H",
        "pycharm": {
          "name": "#%%\n"
        }
      },
      "outputs": [],
      "source": [
        "def scaled_dot_product_attention(query, key, value, mask):\n",
        "    \"\"\"Calculate the attention weights.\"\"\"\n",
        "    matmul_qk = tf.matmul(query, key, transpose_b=True)\n",
        "\n",
        "    # scale matmul_qk\n",
        "    depth = tf.cast(tf.shape(key)[-1], tf.float32)\n",
        "    logits = matmul_qk / tf.math.sqrt(depth)\n",
        "\n",
        "    # add the mask to zero out padding tokens\n",
        "    if mask is not None:\n",
        "        logits += mask * -1e9\n",
        "\n",
        "    # softmax is normalized on the last axis (seq_len_k)\n",
        "    attention_weights = tf.nn.softmax(logits, axis=-1)\n",
        "\n",
        "    output = tf.matmul(attention_weights, value)\n",
        "\n",
        "    return output"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "XwmOB9HvVbyh",
        "pycharm": {
          "name": "#%% md\n"
        }
      },
      "source": [
        "### Multi-head attention\n",
        "\n",
        "<img src=\"https://www.tensorflow.org/images/tutorials/transformer/multi_head_attention.png\" width=\"500\" alt=\"multi-head attention\">\n",
        "\n",
        "\n",
        "Multi-head attention consists of four parts:\n",
        "* Linear layers and split into heads.\n",
        "* Scaled dot-product attention.\n",
        "* Concatenation of heads.\n",
        "* Final linear layer.\n",
        "\n",
        "Each multi-head attention block gets three inputs; Q (query), K (key), V (value). These are put through linear (Dense) layers and split up into multiple heads. \n",
        "\n",
        "The `scaled_dot_product_attention` defined above is applied to each head (broadcasted for efficiency). An appropriate mask must be used in the attention step.  The attention output for each head is then concatenated (using `tf.transpose`, and `tf.reshape`) and put through a final `Dense` layer.\n",
        "\n",
        "Instead of one single attention head, `query`, `key`, and `value` are split into multiple heads because it allows the model to jointly attend to information at different positions from different representational spaces. After the split each head has a reduced dimensionality, so the total computation cost is the same as a single head attention with full dimensionality."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 25,
      "metadata": {
        "id": "L9eYssGIAG4h",
        "pycharm": {
          "name": "#%%\n"
        }
      },
      "outputs": [],
      "source": [
        "class MultiHeadAttentionLayer(tf.keras.layers.Layer):\n",
        "    def __init__(self, d_model, num_heads, **kwargs):\n",
        "        assert d_model % num_heads == 0\n",
        "        super(MultiHeadAttentionLayer, self).__init__(**kwargs)\n",
        "        self.num_heads = num_heads\n",
        "        self.d_model = d_model\n",
        "\n",
        "        self.depth = d_model // self.num_heads\n",
        "\n",
        "        self.query_dense = tf.keras.layers.Dense(units=d_model)\n",
        "        self.key_dense = tf.keras.layers.Dense(units=d_model)\n",
        "        self.value_dense = tf.keras.layers.Dense(units=d_model)\n",
        "\n",
        "        self.dense = tf.keras.layers.Dense(units=d_model)\n",
        "\n",
        "    def get_config(self):\n",
        "        config = super(MultiHeadAttentionLayer, self).get_config()\n",
        "        config.update(\n",
        "            {\n",
        "                \"num_heads\": self.num_heads,\n",
        "                \"d_model\": self.d_model,\n",
        "            }\n",
        "        )\n",
        "        return config\n",
        "\n",
        "    def split_heads(self, inputs, batch_size):\n",
        "        inputs = tf.keras.layers.Lambda(\n",
        "            lambda inputs: tf.reshape(\n",
        "                inputs, shape=(batch_size, -1, self.num_heads, self.depth)\n",
        "            )\n",
        "        )(inputs)\n",
        "        return tf.keras.layers.Lambda(\n",
        "            lambda inputs: tf.transpose(inputs, perm=[0, 2, 1, 3])\n",
        "        )(inputs)\n",
        "\n",
        "    def call(self, inputs):\n",
        "        query, key, value, mask = (\n",
        "            inputs[\"query\"],\n",
        "            inputs[\"key\"],\n",
        "            inputs[\"value\"],\n",
        "            inputs[\"mask\"],\n",
        "        )\n",
        "        batch_size = tf.shape(query)[0]\n",
        "\n",
        "        # linear layers\n",
        "        query = self.query_dense(query)\n",
        "        key = self.key_dense(key)\n",
        "        value = self.value_dense(value)\n",
        "\n",
        "        # split heads\n",
        "        query = self.split_heads(query, batch_size)\n",
        "        key = self.split_heads(key, batch_size)\n",
        "        value = self.split_heads(value, batch_size)\n",
        "\n",
        "        # scaled dot-product attention\n",
        "        scaled_attention = scaled_dot_product_attention(query, key, value, mask)\n",
        "        scaled_attention = tf.keras.layers.Lambda(\n",
        "            lambda scaled_attention: tf.transpose(scaled_attention, perm=[0, 2, 1, 3])\n",
        "        )(scaled_attention)\n",
        "\n",
        "        # concatenation of heads\n",
        "        concat_attention = tf.keras.layers.Lambda(\n",
        "            lambda scaled_attention: tf.reshape(\n",
        "                scaled_attention, (batch_size, -1, self.d_model)\n",
        "            )\n",
        "        )(scaled_attention)\n",
        "\n",
        "        # final linear layer\n",
        "        outputs = self.dense(concat_attention)\n",
        "\n",
        "        return outputs"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "eDUX7Oa8Xudj",
        "pycharm": {
          "name": "#%% md\n"
        }
      },
      "source": [
        "## Transformer"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "x5QlgXsxYirg",
        "pycharm": {
          "name": "#%% md\n"
        }
      },
      "source": [
        "### Masking\n",
        "\n"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "0CX5H8A-Wybj",
        "pycharm": {
          "name": "#%% md\n"
        }
      },
      "source": [
        "`create_padding_mask` and `create_look_ahead` are helper functions to creating masks to mask out padded tokens, we are going to use these helper functions as `tf.keras.layers.Lambda` layers.\n",
        "\n",
        "Mask all the pad tokens (value `0`) in the batch to ensure the model does not treat padding as input."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 26,
      "metadata": {
        "id": "imCQ0jrvWhC7",
        "pycharm": {
          "name": "#%%\n"
        }
      },
      "outputs": [],
      "source": [
        "def create_padding_mask(x):\n",
        "    mask = tf.cast(tf.math.equal(x, 0), tf.float32)\n",
        "    # (batch_size, 1, 1, sequence length)\n",
        "    return mask[:, tf.newaxis, tf.newaxis, :]"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 27,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "IrwtsqrfWd-3",
        "outputId": "e0d0cc0b-fcf5-4d76-f451-859178d754e0",
        "pycharm": {
          "name": "#%%\n"
        }
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "tf.Tensor(\n",
            "[[[[0. 0. 1. 0. 1.]]]\n",
            "\n",
            "\n",
            " [[[1. 1. 1. 0. 0.]]]], shape=(2, 1, 1, 5), dtype=float32)\n"
          ]
        }
      ],
      "source": [
        "print(create_padding_mask(tf.constant([[1, 2, 0, 3, 0], [0, 0, 0, 4, 5]])))"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "qJAicy1zW1QT",
        "pycharm": {
          "name": "#%% md\n"
        }
      },
      "source": [
        "Look-ahead mask to mask the future tokens in a sequence.\n",
        "We also mask out pad tokens.\n",
        "\n",
        "i.e. To predict the third word, only the first and second word will be used"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 28,
      "metadata": {
        "id": "HSVdD2zKWaXx",
        "pycharm": {
          "name": "#%%\n"
        }
      },
      "outputs": [],
      "source": [
        "def create_look_ahead_mask(x):\n",
        "    seq_len = tf.shape(x)[1]\n",
        "    look_ahead_mask = 1 - tf.linalg.band_part(tf.ones((seq_len, seq_len)), -1, 0)\n",
        "    padding_mask = create_padding_mask(x)\n",
        "    return tf.maximum(look_ahead_mask, padding_mask)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 29,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "xhwz9xzxWcod",
        "outputId": "11572df0-d32c-4ece-8080-1b486fc201fb",
        "pycharm": {
          "name": "#%%\n"
        }
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "tf.Tensor(\n",
            "[[[[0. 1. 1. 1. 1.]\n",
            "   [0. 0. 1. 1. 1.]\n",
            "   [0. 0. 1. 1. 1.]\n",
            "   [0. 0. 1. 0. 1.]\n",
            "   [0. 0. 1. 0. 0.]]]], shape=(1, 1, 5, 5), dtype=float32)\n"
          ]
        }
      ],
      "source": [
        "print(create_look_ahead_mask(tf.constant([[1, 2, 0, 4, 5]])))"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "TpR7kz4jFkPJ",
        "pycharm": {
          "name": "#%% md\n"
        }
      },
      "source": [
        "### Positional encoding\n",
        "\n",
        "Since this model doesn't contain any recurrence or convolution, positional encoding is added to give the model some information about the relative position of the words in the sentence. \n",
        "\n",
        "The positional encoding vector is added to the embedding vector. Embeddings represent a token in a d-dimensional space where tokens with similar meaning will be closer to each other. But the embeddings do not encode the relative position of words in a sentence. So after adding the positional encoding, words will be closer to each other based on the *similarity of their meaning and their position in the sentence*, in the d-dimensional space.\n",
        "\n",
        "See the notebook on [positional encoding](https://github.com/tensorflow/examples/blob/master/community/en/position_encoding.ipynb) to learn more about it. The formula for calculating the positional encoding is as follows:\n",
        "\n",
        "$$\\Large{PE_{(pos, 2i)} = sin(pos / 10000^{2i / d_{model}})} $$\n",
        "$$\\Large{PE_{(pos, 2i+1)} = cos(pos / 10000^{2i / d_{model}})} $$"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 30,
      "metadata": {
        "id": "-9Oibz2es-qW",
        "pycharm": {
          "name": "#%%\n"
        }
      },
      "outputs": [],
      "source": [
        "class PositionalEncoding(tf.keras.layers.Layer):\n",
        "    def __init__(self, position, d_model, **kwargs):\n",
        "        super(PositionalEncoding, self).__init__(**kwargs)\n",
        "        self.position = position\n",
        "        self.d_model = d_model\n",
        "        self.pos_encoding = self.positional_encoding(position, d_model)\n",
        "\n",
        "    def get_config(self):\n",
        "        config = super(PositionalEncoding, self).get_config()\n",
        "        config.update(\n",
        "            {\n",
        "                \"position\": self.position,\n",
        "                \"d_model\": self.d_model,\n",
        "            }\n",
        "        )\n",
        "        return config\n",
        "\n",
        "    def get_angles(self, position, i, d_model):\n",
        "        angles = 1 / tf.pow(10000, (2 * (i // 2)) / tf.cast(d_model, tf.float32))\n",
        "        return position * angles\n",
        "\n",
        "    def positional_encoding(self, position, d_model):\n",
        "        angle_rads = self.get_angles(\n",
        "            position=tf.range(position, dtype=tf.float32)[:, tf.newaxis],\n",
        "            i=tf.range(d_model, dtype=tf.float32)[tf.newaxis, :],\n",
        "            d_model=d_model,\n",
        "        )\n",
        "        # apply sin to even index in the array\n",
        "        sines = tf.math.sin(angle_rads[:, 0::2])\n",
        "        # apply cos to odd index in the array\n",
        "        cosines = tf.math.cos(angle_rads[:, 1::2])\n",
        "\n",
        "        pos_encoding = tf.concat([sines, cosines], axis=-1)\n",
        "        pos_encoding = pos_encoding[tf.newaxis, ...]\n",
        "        return tf.cast(pos_encoding, tf.float32)\n",
        "\n",
        "    def call(self, inputs):\n",
        "        return inputs + self.pos_encoding[:, : tf.shape(inputs)[1], :]"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 31,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 283
        },
        "id": "UC_fQehi3_Yh",
        "outputId": "c7b3190c-044e-4555-a714-c0d32cc2e1d4",
        "pycharm": {
          "name": "#%%\n"
        }
      },
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 432x288 with 2 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ],
      "source": [
        "sample_pos_encoding = PositionalEncoding(50, 512, name=\"sample_pos_encoding\")\n",
        "\n",
        "plt.pcolormesh(sample_pos_encoding.pos_encoding.numpy()[0], cmap=\"RdBu\")\n",
        "plt.xlabel(\"Depth\")\n",
        "plt.xlim((0, 512))\n",
        "plt.ylabel(\"Position\")\n",
        "plt.colorbar()\n",
        "plt.show()"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "HVazCemoW2Ye",
        "pycharm": {
          "name": "#%% md\n"
        }
      },
      "source": [
        "### Encoder Layer\n",
        "\n",
        "Each encoder layer consists of sublayers:\n",
        "\n",
        "1. Multi-head attention (with padding mask) \n",
        "2. 2 dense layers followed by dropout\n",
        "\n",
        "Each of these sublayers has a residual connection around it followed by a layer normalization. Residual connections help in avoiding the vanishing gradient problem in deep networks.\n",
        "\n",
        "The output of each sublayer is `LayerNorm(x + Sublayer(x))`. The normalization is done on the `d_model` (last) axis."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 32,
      "metadata": {
        "id": "5guJOLJmfcuX",
        "pycharm": {
          "name": "#%%\n"
        }
      },
      "outputs": [],
      "source": [
        "def encoder_layer(units, d_model, num_heads, dropout, name=\"encoder_layer\"):\n",
        "    inputs = tf.keras.Input(shape=(None, d_model), name=\"inputs\")\n",
        "    padding_mask = tf.keras.Input(shape=(1, 1, None), name=\"padding_mask\")\n",
        "\n",
        "    attention = MultiHeadAttentionLayer(d_model, num_heads, name=\"attention\")(\n",
        "        {\"query\": inputs, \"key\": inputs, \"value\": inputs, \"mask\": padding_mask}\n",
        "    )\n",
        "    attention = tf.keras.layers.Dropout(rate=dropout)(attention)\n",
        "    add_attention = tf.keras.layers.add([inputs, attention])\n",
        "    attention = tf.keras.layers.LayerNormalization(epsilon=1e-6)(add_attention)\n",
        "\n",
        "    outputs = tf.keras.layers.Dense(units=units, activation=\"relu\")(attention)\n",
        "    outputs = tf.keras.layers.Dense(units=d_model)(outputs)\n",
        "    outputs = tf.keras.layers.Dropout(rate=dropout)(outputs)\n",
        "    add_attention = tf.keras.layers.add([attention, outputs])\n",
        "    outputs = tf.keras.layers.LayerNormalization(epsilon=1e-6)(add_attention)\n",
        "\n",
        "    return tf.keras.Model(inputs=[inputs, padding_mask], outputs=outputs, name=name)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 33,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 1000
        },
        "id": "K16BIGSKfkve",
        "outputId": "90254dc0-876e-4e34-e201-f7f83782d186",
        "pycharm": {
          "name": "#%%\n"
        }
      },
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "image/png": 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cJ03T//73vwkh4nKodc9M0VtVVcW8/Mc//kEIyczMlHx7fHy87GHKKHolubq68ni8x48fy+5NRtH7rgOMjo4mhOTm5rbeohR5it4Ot/6uRa/kQXXnzh1CyNatWzvRlfzkOearq6spipo1a5ZUe3ccgZI7SMY3okPKnI3RYdEbGBg4ePDgyspKycbNmzeLT8iZmZnl5+dLveuHH34ghBw+fFj21lH0QntweTMAAAB0BofDIYQws4lMmzZt8ODBP/zwA03ThJD4+HhPT0/mLr7s7Oza2toRI0Yw79LS0jI2NhZfbClbaGjokCFDoqOjb968KdmelZVVXV09duxYccu4ceM0NTXF1812SFNTkxAifjQOM5bGxkbZw5RHYmLi6dOnt27dOmTIkE739q4DZIbTZv5O6PrHK8PYsWP5fL6cB0C3Yv70wOfzZayjqCNQcgd15RvRW7K159SpU4mJiZcvX5Z8bFhgYOD+/ftTU1Orq6ufPn3q6Ojo4OAgfswVg9lNv//+u6KSQF+DohcAAADkdf78+SlTpvTv35/L5UreBEtR1MqVK58+fZqamkoIOXz48NKlS5lFNTU1hJDNmzeL73TNy8trPalJm3g8XmxsLEVRS5YsqaurE7cz85doa2tLrqyrq1tVVdXlIRLS/jA7VFZWtmbNmnHjxjFn4TrdW3cPkN2tc7nckpIWqrH6AAAgAElEQVQShXTVFfX19UwYGet0xxHYlW9Eb8nWpvj4+J07d6alpQ0aNEjc+OrVq7CwsBUrVkybNk0gEFhaWh44cODly5fMOX8xLS0t8scuA+gEFL0AAAAgy40bN/bu3UsIefHihaurq7GxcXp6ekVFRVhYmORqixYt4vF4Bw8ezM7OFolEFhYWTHv//v0JIXv37pW80uz27dtybt3BwcHPzy8nJ2fbtm3iRl1dXUKI1I/48vJyMzOzLgz0/8gepmxr164tLy+PjY0VP6u2c7116wDZ3XpjY2OPDUQ2po7q8Ky7wo/ALn4jeks2KVFRUXFxcdeuXRswYIBke05OTnNzs2SjSCTS19fPysqSXK2hoYH8scsAOgFFLwAAAMjyn//8RyAQEEIyMzMbGxs///xzKysrHo8nnmKEoaenN3/+/OTk5N27dy9fvlzczjweOSMjo9MBtm3bNnToUOa50IwRI0Zoa2vfvXtX3JKent7Q0DBmzJhOb0VM9jBlOH/+/NGjR7/++uvhw4czLf7+/p3rrVsH2PWta2hodPpS6rS0NJqmx48f3/WuusjQ0JCiKHlmu1XsEdj1b0RvycagaTogICAzMzM5OVnq/DMhhCnFX716JW6pqqp6/fo1M3GRGLObjIyMFBgM+hQUvQAAANC2xsbG33//PS0tjSl6zc3NCSFXr16tr6/PyclpfYvgqlWr3r59m5KSMmvWLHEjj8dbvHjx8ePHY2JiKisrm5ubCwoKJH/jdoi5jFNynk8ej7du3bpTp07FxcVVVlZmZmauWrXKxMTE29u7SwMmhMgxzDZVVlauXLnS3t5+w4YNhJD6+vq7d+9mZGTI6E1fX//ly5fPnz+vqqqSKvy6dYAd6nDrNjY2r1+/Tk5ObmxsLCkpkZxStc1xtbS0vHnzpqmp6eHDh76+vubm5osWLepEVxcvXlTglEV8Pt/KyqqgoECeD0SBR6CMb4Snp6eRkdG9e/fkH4UyZ2M8evRo165dBw4c4HA4khN67d69mxBiaWk5derUAwcO3Lhxo66uLj8/n8kpvj+CweymkSNHvuvWAf5Pdz8pCwAAANglzxNNT506ZW1t3d6vhVOnTjGrBQQE6Ovr6+rqenh4MDPKWltbi6efoWn6/fff37hxo1Tnb9++DQgIMDc319DQ6N+/v5ubW1ZWVlhYGHOx4sCBA48cOSKZwcDAgHkmrSR/f3/JSVlaWlrCw8NtbW05HI6enp6rq2t2djazqHXPERERzINwBg0a9PPPP+/cuVNHR4cQYmRkdPTo0fj4eOYMkp6e3vHjx9sbpq+vL7OaQCCYO3duVFQUM8Esn893cXFhfsFLmTlzpowP7d69exYWFlpaWhMnTty8ebNkb7IHGB0dzQzH1tb2yZMn+/fvF4lEhBALC4vffvtN9o6Wc8oiGVunabqsrGzq1Kk8Hs/S0nLNmjX+/v6EEBsbG+ZIkBxXUVGRt7c3h8MxNTXV0NAQiURz5sx58uRJ57q6cOGCUCgUPyRcBjmf4uvj48PhcGpra5mXijoCO9xBbX4jaJp2dXUlhAQFBbWOqszZaJq+ffv2hAkTTExMmCPf2NjY0dHx+vXrNE1nZma2+a9KeHg4897S0lJfX18bGxsul6utrT1hwoTTp09L9e/s7GxqatrS0tLm1sXw9GZoD0VjlmcAAACVlpiYOH/+/J75P76zs/N3331naWnZA9uCTvDw8CCEJCUl9dgWV65cmZSUVFZW1mNbJHIf87m5ucOGDYuNjV2wYEHPBJOtpaVlypQpixYtWrJkCdtZpLGYrayszMzMLDQ0VPL5cG3qyX/roHfB5c0AAADQJeJLcx8+fMicsmM3Dygb+Sd86mE2NjYhISEhISHV1dVsZyHNzc3JyclVVVWenp5sZ5HGbrbg4GB7e3sfH5+e3zSoDBS9AAAA0CUBAQE5OTm//fbb4sWLJZ8iC6D8Nm7c6OHh4enpKc8TrbpVWlrayZMnL168KHvqYFawmG3Pnj0ZGRkXLlxg5rgG6BwUvQAAANAlfD5/6NChH330UXBwsJ2dHdtxQIls2rQpNja2oqLC0tLyxIkTbMdp2/bt2318fL755ht2Yzg5OR09epS5tVvZsJXtzJkzb9++TUtL09PT6+FNg4rBPb0AAAAqDve5gVjP39PLChzzfRP2O7QHZ3oBAAAAAABAZaHoBQAAAAAAAJWFohcAAAAAAABUFopeAAAAAAAAUFkabAcAAACAnsA8wQj6uH/961+k1cHw9u1bLpfLUiLFa2lpyc/PJzjm+56CggK2I4CSwtObAQAAVNzt27f37NnDdgpQUhUVFdevXx8zZoypqSnbWRQjIyOjtLT0ww8/1NTUZDsLsEDlH04OnYCiFwAAAKCPys/PnzBhgrW19cWLF3k8HttxFCMvL8/JyUlTUzM1NdXExITtOADAPhS9AAAAAH1RSUnJpEmTNDU1b9y4oaury3YcRcrPz3dyclJXV7969arKnMEGgE7Dg6wAAAAA+pyqqqoZM2Y0NTVduXJFxSpeQsjAgQNv3Lihrq4+depU3OcJACh6AQAAAPqWhoYGd3f3/Pz8ixcvGhsbsx2nWxgbG6empnK53MmTJ+fl5bEdBwDYhKIXAAAAoA9pbm5esGBBenr6pUuXbG1t2Y7TjYyMjH766SeRSDRt2rTCwkK24wAAa1D0AgAAAPQVNE2vWrUqJSXl3Llz77//Pttxup2BgcGPP/6opaU1derUoqIituMAADtQ9AIAAAD0FZs3b/7hhx/i4uImTZrEdpYeYmBgcO3aNXV19enTp5eVlbEdBwBYgKIXAAAAoE+IiYn55ptv9u3bN3fuXLaz9ChDQ8MrV65UVVV99NFHb968YTsOAPQ0FL0AAAAAqu/YsWNr1qzZtWvX0qVL2c7CgoEDB/7444/FxcXOzs7V1dVsxwGAHoV5egEAAABU3NWrV52dnX19fcPCwtjOwqasrKwpU6aMHj06JSWFw+GwHQcAegiKXgAAAABVlp6e/tFHH82ZM+fw4cMURbEdh2X/+c9/pkyZ4ubmFhsbi08DoI/A5c0AAAAAKisrK2vmzJlTpkxBjccYM2ZMYmLi0aNHt2zZwnYWAOgh6sHBwWxnAAAAAADFKygocHJysrS0PHv2LI/HYzuOsrC1tTU1NV2/fr2hoeG4cePYjgMA3U6D7QAAAAAAoHilpaUff/yxjo7O+fPnBQIB23GUy9KlS/Pz8318fExNTWfPns12HADoXrinFwAAAEDV1NbWfvTRR7///vvNmzdNTEzYjqOMaJpetmxZfHx8amrq+PHj2Y4DAN0IRS8AAACASmloaHBxcbl3797NmzcHDx7Mdhzl1djYOGvWrIcPH969e3fAgAFsxwGA7oKiFwAAAEB1tLS0/OUvf7l06dJPP/00evRotuMou6qqqvHjx4tEorS0NC6Xy3YcAOgWeHozAAAAgOr48ssvk5OTT5w4gYpXHkKh8PTp048fP16xYgXbWQCgu6DoBQAAAFARQUFB0dHRx44d+/jjj9nO0msMHjw4Pj7+6NGj0dHRbGcBgG6BohcAAABAFfz9738PDQ39/vvv3dzc2M7Sy3zyySfBwcFffvllWloa21kAQPFwTy8AAABArxcfH+/l5bVjx46AgAC2s/RKNE17enqmpqbeuXPH0tKS7TgAoEgoegEAAAB6t9TUVGdn5+XLl0dFRbGdpRerrq52cHAQCoU3btzQ0NBgOw4AKAwubwYAAADoxe7cuTNnzhx3d/e//e1vbGfp3bS1tRMSEh48eLB161a2swCAIuFMLwAAAEBvlZOTM3HixHHjxiUnJ+PkpELs27fv888///HHH6dNm8Z2FgBQDBS9AAAAAL1SYWHhhAkTTExMrl69KhAI2I6jOjw9PW/evPngwYN+/fqxnQUAFABFLwAAAEDvU1ZWNmnSJHV19evXr+vr67MdR6WUl5fb29uPGDHi3LlzFEWxHQcAugr39AIAAAD0MrW1tS4uLtXV1RcuXEDFq3C6urpHjhy5dOnSvn372M4CAAqAohcAAACgN2lsbHRzc8vJyfnxxx8HDhzIdhzVNGnSpE2bNvn5+f32229sZwGArsLlzQAAAAC9Bk3TixYtOn369E8//TRmzBi246iypqamDz74QCgU/vTTT7jIGaBXw5leAAAAgF7Dz88vPj7+xIkTqHi7m4aGxg8//PDPf/7z0KFDbGcBgC5B0QsAAADQO2zdujUqKiouLm769OlsZ+kTRo0a5ePjs379+sLCQrazAEDn4fJmAAAAgF7g+++///zzz/ft27d8+XK2s/QhtbW177333ujRoxMTE9nOAgCdhDO9AAAAAMouOTl59erVoaGhqHh7GJ/P379//4kTJ5KTk9nOAgCdhDO9AAAAAMqisbGRw+FINV67dm3mzJlLly6Njo5mJRUsXLjwp59+evTokVAoZDsLALwznOkFAAAAUBabN28ODg6WbLl79+6cOXPmzp0bFRXFUigge/bsqampCQsLYzsIAHQGzvQCAAAAKIW6ujpjY+PKyko/P7/du3dTFJWbmztx4sSRI0empKRwuVy2A/Zpu3fvDgoKys7OxtzIAL0OzvQCAAAAKIWjR49WV1cTQiIiIhYuXJiXl/fxxx9bWFicPn0aFS/rfHx8TExMpM7DA0CvgDO9AAAAAErBzs4uOzu7paWFEKKurm5oaKirq3vz5k19fX22owEhhMTFxX322Wf/+c9/7O3t2c4CAO8AZ3oBAAAA2PfTTz/9+uuvTMVLCGlubi4pKeFwODg/oTy8vLzef//9wMBAtoMAwLtB0QsAAADAvr/97W9Sz21uamr69ddfHRwcCgoK2EoFkiiK2r1794ULF65evcp2FgB4B7i8GQAAAIBlL168sLS0FJ/mlcThcIyMjK5du2Zra9vzwaC1GTNmlJaW/vvf/6Yoiu0sACAXnOkFAAAAYFlMTIy6unqbi2iaLigo2LVrVw9HgvaEhobevXv30qVLbAcBAHnhTC8AAAAAm8QzFUm1q6mptbS0jBkz5ttvv508eTIr2aBNf/rTnyorK2/dusV2EACQC870AgAAALApLi6OmalIjKIoiqKsrKwSExPv3LmDilfZBAYG3r59++eff2Y7CADIBWd6AQAAANgkOVMRIURdXd3AwCAkJGTp0qXtXfMMrJs0aVK/fv2Sk5PZDgIAHcOZXgAAAADWpKWliWcq4nA4IpFo+/btz549W7FiBSpeZbZ27dpz5849ffqU7SAA0DEUvQAAAACs+dvf/kZRFIfD4XK569evz8vLCwgI0NLSYjsXdMDV1dXCwiI6OprtIADQMVzeDAAA0EmJiYlsR4DerbS0dM2aNYSQqVOnenh46OnpsZ0I/su8efNkLA0LC9u5c2dhYSGfz++xSADQCSh6AQAAOgmzdAKoNtm/k8vKykxNTfft2/fZZ5/1WCQA6AQUvQAAAJ1EUVRCQoLsc0EqzMPDgxCSlJTEdpDulZiYOH/+/G76vZSbm2tjY9MdPUMXybnf58+fX1hYePPmzZ5JBQCdg3t6AQAAANiBire3W758+T//+c+srCy2gwCALCh6AQAAAAA6w8nJycbG5tChQ2wHAQBZUPQCAAAAAHQGRVGLFy8+fPhwfX0921kAoF0oegEAAAAAOmnJkiWVlZXJyclsBwGAdqHoBQAAAADoJGNj45kzZx44cIDtIADQLhS9AAAAAACdt3z58p9++iknJ4ftIADQNhS9AAAAPWTZsmVCoZCiqIyMDLaztKG+vn7o0KGbN2/u1q1cuHBBR0fn3Llz3boVFl29enXjxo0nT560srKiKIqiqE8//VRyhenTpwuFQnV19eHDh9+7d6/nEypzNrGWlpa9e/c6OjpKtYeEhNjZ2YlEIi6Xa2Nj89VXX1VXV0uucOzYsXHjxgmFQgsLi8WLFxcVFTHtZ8+eDQsLa25u7o60M2bMGDhw4A8//NAdnQNA16HoBQAA6CEHDx5U5msgAwMDs7Ozu3sr3TThrZLYsmVLZGTkpk2b3Nzcnj59am1t3a9fv7i4uPPnz4vXuXLlSlJS0qxZs7KyskaPHt3zIZU5GyMnJ+fDDz/08/Orra2VWnTt2rXVq1c/f/68tLR0x44dERERzHzRjISEBC8vLw8Pj4KCgjNnzty4cWPGjBlNTU2EEBcXFx6P5+TkVF5ervDAampqixYtio2NbWxsVHjnANB1KHoBAACA3Lp165dffumBDTk7O1dUVMyaNau7N1RXV9f6PGG32rlzZ3x8fGJiolAoFDdGRkaqqal5e3tXVFT0ZBh5KGe2Bw8ebNiwYdWqVfb29q2Xamtre3t76+vrC4XCefPmubq6Xrp0KT8/n1m6b9++AQMG+Pv76+jo2Nvb+/n5ZWRkpKenM0vXrl07atSomTNnMmWwYi1btqy0tDQlJUXhPQNA16HoBQAA6DkURbEdoQ11dXX+/v4RERFsB1GkQ4cOFRcX99jmcnNzv/76661bt/J4PMl2R0dHX1/fwsLC9evX91gYOSlntlGjRp08edLLy4vL5bZempKSoq6uLn5pYGBACBGfEM7PzzcxMRF/ywYOHEgIycvLE68fHByckZHRHYf6wIEDP/74Y2W+lAOgL0PRCwAA0I1omg4PDx8yZAiXy9XR0fH395dc2tzcHBQUZG5urqWl9d577yUkJBBCYmJiBAIBn88/c+bMjBkzRCKRmZnZ8ePHxe+6fv36//zP//D5fJFINHLkyMrKyva6klNgYOAXX3zRv39/BQ26XTdv3jQ3N6co6rvvviMdjTQyMpLH4xkaGq5cudLExITH4zk6OorP2vn4+GhqahobGzMvv/jiC4FAQFFUaWkpIcTX13fdunVPnjyhKMrGxoYQcunSJZFItH379m4aWmRkJE3TLi4urReFhoYOHjz44MGDV69ebfO9NE3v2bNn2LBhXC5XT09vzpw5jx8/ZhZ1eDB0Zb8reTZ5FBYWamlpWVpaMi+trKwk/9LB3NBrZWUlbtHT05s8eXJERER3XGa/fPnyy5cvS9bYAKAsaAAAAOgUQkhCQoLsdQIDAymK+vbbb9+8eVNbWxsdHU0IuX//PrN0/fr1XC73xIkTb9682bRpk5qa2p07d5h3EUJSU1MrKiqKi4snTZokEAgaGhpomq6urhaJRGFhYXV1dUVFRXPnzi0pKZHRVYdu3rzp4uJC03RJSQkhJDAwUM7hu7u7u7u7y7myGHMlalRUFPNSxkhpmvb29hYIBI8ePaqvr8/KymIeUPTixQtmqZeXl5GRkbjn8PBwQgjzadA07ebmZm1tLV6akpIiFApDQkLeNTBTqnW4mpWVlZ2dnVSjtbX1s2fPaJq+deuWmpraoEGDqquraZq+ePHi7NmzxasFBQVpamoeOXKkvLz84cOHo0ePNjAwKCoqYpbK/og6vd+VORvjgw8+GDVqlIwVampqhEKhj4+PuCUtLY3D4URGRlZWVv7yyy/Dhg375JNPpN61ceNGye9ge+Tc75IaGxtNTEy2bNnyTu8CgB6AM70AAADdpa6ubu/evR999JGfn5+urq6Wlpa+vr54aX19fUxMjKurq5ubm66u7ubNmzkcTmxsrHgFR0dHkUjUv39/T0/PmpqaFy9eEEKeP39eWVk5fPhwHo9nZGR08uRJAwODDruSkdDX1zcmJqY7hi+/NkfK0NDQYE4z2tnZxcTEVFVVyTOu1pydnSsrK7/++mvFpf7/ampqnj17Zm1t3d4KDg4OX3755fPnzzds2CC1qK6ubs+ePXPnzl2wYIGOjs7IkSO///770tLS/fv3S67W5kfU6f3eW7LJtmPHDhMTk9DQUHHL5MmTAwICfHx8RCLRiBEjqqqqDh48KPUuW1tbQkhmZqYCkzA0NDQWLlx46NChbnpGNAB0GopeAACA7pKbm1tbW+vk5NTm0uzs7Nra2hEjRjAvtbS0jI2NxdeOStLU1CSEMA+GtbKyMjQ0XLBgQXBw8PPnz9+1KymbNm1asWKFqanpO4+te0iOtLWxY8fy+Xx5xtXDiouLaZrm8/ky1gkNDR0yZEh0dPTNmzcl27Oysqqrq8eOHStuGTdunKampvhCbimSH1Gn93svytaeU6dOJSYmXr58WfKxYYGBgfv3709NTa2urn769Kmjo6ODg4P4MVcMZjf9/vvvikoiacWKFYWFhZcvX+6OzgGg01D0AgAAdJeCggJCSHv3ytbU1BBCNm/eTP0hLy+v9RwtUrS0tK5duzZx4sTt27dbWVl5enrW1dV1rqubN29mZmYuW7asM2NjCZfLZS7DVir19fWEkDYfvCTG4/FiY2MpilqyZEldXZ24nZlBR1tbW3JlXV3dqqqqDrfbuf3eu7K1KT4+fufOnWlpaYMGDRI3vnr1KiwsbMWKFdOmTRMIBJaWlgcOHHj58iVz3buYlpYW+WOXKZyVldWUKVPwOCsAZYOiFwAAoLswD/J9+/Ztm0uZYnjv3r2S9x3dvn27w26HDx9+7ty5ly9fBgQEJCQk7N69u3NdHTp0KDU1VU1NjalJmE62b99OUdTdu3ffdbA9oLGxsby83MzMjO0g0pg6qsOLWh0cHPz8/HJycrZt2yZu1NXVJYRIlZFyDrPTh1DvyiYlKioqLi7u2rVrAwYMkGzPyclpbm6WbBSJRPr6+llZWZKrNTQ0kD92WXdYvnx5SkrKy5cvu6l/AOgEFL0AAADdZcSIEWpqatevX29z6cCBA3k8XkZGxjv1+fLly0ePHhFC+vfv/80334wePfrRo0ed6yo2NlayIJF8kJXkFa3KIy0tjabp8ePHMy81NDTauxC6hxkaGlIUJc9st9u2bRs6dOj9+/fFLSNGjNDW1pb8K0N6enpDQ8OYMWM67K1z+703ZmPQNB0QEJCZmZmcnCx1/pkQwpTir169ErdUVVW9fv2ambhIjNlNRkZGCgwmyc3NTU9P73//93+7qX8A6AQUvQAAAN2lf//+bm5uJ06cOHToUGVl5cOHDyWfAMTj8RYvXnz8+PGYmJjKysrm5uaCggLJn+xtevny5cqVKx8/ftzQ0HD//v28vLzx48d3rqteoaWl5c2bN01NTQ8fPvT19TU3N1+0aBGzyMbG5vXr18nJyY2NjSUlJVJTxejr6798+fL58+dVVVWNjY0XL17svimL+Hy+lZUVczW7bMyFxJIzzfJ4vHXr1p06dSouLq6ysjIzM3PVqlUmJibe3t7y9Nbefvf09DQyMrp37578o1DmbIxHjx7t2rXrwIEDHA6HkrB7925CiKWl5dSpUw8cOHDjxo26urr8/Hwm59KlSyU7YXbTyJEj33XrctLU1PTy8jp48GBLS0s3bQIA3pkCnwQNAADQpxA5piyqqqpatmxZv379tLW1J06cGBQURAgxMzN78OABTdNv374NCAgwNzfX0NBgKuSsrKzo6GjmWTu2trZPnjzZv3+/SCQihFhYWPz222/Pnz93dHTU09NTV1cfMGBAYGBgU1NTe12903B6YMqiqKgoZmZdPp/v4uIie6Q0TXt7e3M4HFNTUw0NDZFINGfOnCdPnoh7Kysrmzp1Ko/Hs7S0XLNmDTMHso2NDTOn0b179ywsLLS0tCZOnFhUVHThwgWhUBgaGvpOgWm5p67x8fHhcDi1tbXMy1OnTjEPczYwMFi9erXUyv7+/pLTArW0tISHh9va2nI4HD09PVdX1+zsbGZRhx9Re/vd1dWVEBIUFNQ6qjJno2n69u3bEyZMMDExYX6pGhsbOzo6Xr9+nabp9h65HB4ezry3tLTU19fXxsaGy+Vqa2tPmDDh9OnTUv07Ozubmpq2tLS0uXWxTkxZJMZcUP3jjz927u0AoHAU3Q1zcwMAAPQFFEUlJCTMmzeP7SDs8PDwIIQkJSV13yZWrlyZlJRUVlbWfZvoUGJi4vz58zv8vZSbmzts2LDY2NgFCxb0TDDZWlpapkyZsmjRoiVLlrCdRRqL2crKyszMzEJDQ9etWyd7TTn3e3scHBxsbGyOHDnSubcDgGLh8mYAAABQXr1lylMbG5uQkJCQkJDq6mq2s5Dm5ubk5OSqqipPT0+2s0hjN1twcLC9vb2Pj093b2jhwoWnT5+W5zHXANADUPQCAACopsePH1PtU8JyqLfbuHGjh4eHp6enPE+06lZpaWknT568ePGi7KmDWcFitj179mRkZFy4cIHD4XT3tjw9PZuamk6ePNndGwIAeaDoBQAAUE1Dhw6VcYNTfHw82wE7sGnTptjY2IqKCktLyxMnTrAdRy7bt2/38fH55ptv2I3h5OR09OhR5vZpZcNWtjNnzrx9+zYtLU1PT68HNqenp/fnP//58OHDPbAtAOiQBtsBAAAAANqwY8eOHTt2sJ3inU2fPn369OlspwBps2fPnj17dk9uceHChXPmzHn27JmlpWVPbhcAWsOZXgAAAAAABZs5c6ahoeGxY8fYDgIAKHoBAAAAABRNQ0Nj/vz5//jHPzBVCgDrUPQCAAAAACjewoULc3Jy0tPT2Q4C0Neh6AUAAAAAULwxY8aMHDkSj7MCYB2FKy4AAAA6h6Ko8ePHm5mZsR2EHf/6178IIePHj2c7SPcqKCj417/+5e7uznYQ6FHMfu/67+Rdu3bt3Lnz1atXXC5XIcEAoBNwphcAAAAAoFssWLCgsrIyJSWF7SAAfRrO9AIAAHQSRVEJCQnz5s1jOwg7PDw8CCFJSUlsB+leiYmJ8+fPx++lvkaB+/2TTz7h8XhnzpzpelcA0Dk40wsAAAAA0F0WLlx44cKF33///f+xd+dhTV35/8BPgJAFEhZZFVG2qiBqqViJtsrQobWMIgLCb7BTdWzRpw6loMWVWkSqxREeHPlal4fn+5WOAsLgijrqoNMpte0oYvHrhoIgIossCTvk/v64M5l8EcKW5AR4v/5qzj05933viX38eJdDO3nmZesAACAASURBVAjA2IWiFwAAAABAU5YtW2ZkZJSRkUE7CMDYhaIXAAAAAEBTBALBsmXL8A5nAIpQ9AIAAAAAaNDvfve7f/7zn3fu3KEdBGCMQtELAAAAAKBBCxYscHBwSE9Ppx0EYIxC0QsAAKBt2dnZjo6OHCWGhoZWVlYLFy5MTEysr6+nHRCG7vLly5s3b1ae4g8++EC5g6+vr0gk0tfXd3Nzu3nzpvYT6nI2Qkh8fDzn/5o+fXqPPnK5PCkpSSKR9GiPi4tzdXUVi8U8Hs/Z2fnzzz+XyWTsptOnT+/Zs6e7u1sbx/AKDocTFhaWnp5OKwDAGIeiFwAAQNsCAwMfP37s5ORkYmLCMIxcLq+urs7MzHRwcIiJiXFzc/v5559pZ4Sh+OKLL1JSUrZs2aKY4nHjxqWnp587d07R59KlS1lZWYsXLy4uLvbw8NB+SF3ONhAPHz58++23o6KiWlpaemy6evXq+vXrS0tLa2trExISkpOT2YW1CCFLlizh8/k+Pj4NDQ1aj0wIIR9++OHz588vX75MZe8AYxyKXgAAAMo4HI6pqenChQvT0tIyMzNfvHjh5+fX2NhIOxd9ra2tr17Noz5UX3bv3n3ixInMzEyRSKRoTElJ0dPTCw8P18EJ1dlsx44dY5T88ssvik23b9/etGnTunXrZs2a9eoXjY2Nw8PDzc3NRSLR8uXLAwICLly4UF5ezm799NNPZ86c+f7773d1dWnpSJQ4OzvPnTv32LFj2t81AKDoBQAA0CFBQUErV66srq4+ePAg7Sz0HT16tLq6WteG6tWjR4+2b9/+5Zdf8vl85XaJRBIZGfns2bMNGzZobu9Do8vZ+jJz5szs7OywsDAej/fq1rNnz+rr6ys+WlhYEEKULwjv2LGjsLAwOTlZC1Ff9dvf/jY3N7e5uZnK3gHGMhS9AAAAumXlypWEkLy8PPZjd3d3bGysvb29QCCYMWMGu9pnamqqkZGRUCg8derUokWLxGKxnZ3d8ePHFYNcu3Ztzpw5QqFQLBa7u7s3NTX1NZSmMQyzb9++adOm8Xg8MzOzpUuX3rt3j90UERFhaGhoY2PDfvzkk0+MjIw4HE5tbS0hJDIyMjo6uqSkhMPhODs7p6Sk8Pl8KyurtWvX2tra8vl8iURy48aNIQxFCLlw4YJYLN61a5e6DjMlJYVhmCVLlry6KT4+/rXXXjty5Ehft7aqOEX9TvQw51SXsw3fs2fPBAKBg4ODosXMzGzBggXJyckMw2g5DCEkJCSkvb39/Pnz2t81wFjHAAAAwJAQQjIyMob8dcUzvT2wBerEiRPZjxs2bODxeCdPnqyvr9+yZYuent5PP/3EMMzWrVsJIVeuXGlsbKyurn7rrbeMjIw6OjoYhpHJZGKxeM+ePa2trVVVVcuWLaupqVEx1NAEBQUFBQX12y02NtbQ0PDYsWMNDQ1FRUUeHh4WFhZVVVXs1rCwMGtra0XnxMREQgiblmGYwMBAJycnxdbw8HAjI6O7d++2tbUVFxd7enqKRKKnT58OYaizZ8+KRKK4uLh+87OlWr/dHB0dXV1dezQ6OTk9efKEYZjvv/9eT09v8uTJMpmMYZi8vDx/f39FN9WnSMVEM8OYU53NtnPnTjs7O1NTUy6XO3nyZH9//x9//PHVbm+++ebMmTNVjNPc3CwSiSIiInq0b968mRBy69Yt1TEGOO+D9c477wQGBqp9WABQDVd6AQAAdItIJOJwOFKplBDS1taWmpoaEBAQGBhoamq6bds2Lpeblpam6CyRSMRisaWlZWhoaHNz89OnTwkhpaWlTU1Nbm5ufD7f2to6OzvbwsKi36E0obW1dd++fcuWLVuxYoWJiYm7u/vBgwdra2sPHTo0tAENDAzYq46urq6pqalSqXRoh+Dn59fU1LR9+/ahxeihubn5yZMnTk5OfXXw8vL67LPPSktLN23a1GPTAE9RrxOtljnVtWwffvjh6dOny8vLZTLZ8ePHnz59umDBguLi4kEdFCEkISHB1tY2Pj6+R7uLiwshhNaSuSEhIefOndO1h6gBRj0UvQAAALqlubmZYRixWEwIuX//fktLi2LJFoFAYGNjo7i/VJmhoSEhpLOzkxDi6OhoZWW1YsWKHTt2lJaWsh0GPpQaFRcXy2Sy2bNnK1o8PT0NDQ0VtyUPx+zZs4VCoaYPYSCqq6sZhhEKhSr6xMfHT5ky5cCBA999951y+2BPkfJEq2tOdSrbxIkTX3/9dWNjY0NDw7lz56alpbW2th44cGBQR5STk5OZmXnx4kXll4qx2Gl68eLFoAZUl8DAQLlcfvr0aSp7BxizUPQCAADolgcPHhBCpk6dSghh33mzbds2xZqlZWVlr67U0oNAILh69er8+fN37drl6OgYGhra2to6tKGGiV0extjYWLnR1NSUvY49fDwer6amRi1DDUdbWxsbRkUfPp+flpbG4XBWr17d2tqqaB/OKVLXnOpyNnd3d319ffYPxQCdOHFi9+7d+fn5kydPfnWrQCAg/54y7TMzM/P19dX+480AYxyKXgAAAN1y4cIFQsiiRYsIIZaWloSQpKQk5WeTCgoK+h3Ezc3tzJkzlZWVMTExGRkZe/fuHfJQw2FqakoI6VEjNTQ02NnZDX/wzs5OdQ01TGwd1d3drbqbl5dXVFTUw4cPd+7cqWgczilS45zqbDa5XC6Xy1X/g4Ky/fv3p6enX716dfz48b126OjoIP+eMipCQkIuXbpUV1dHKwDAGISiFwAAQIdUVVUlJSXZ2dmtXr2aEDJx4kQ+n19YWDioQSorK+/evUsIsbS0/Oqrrzw8PO7evTu0oYZp+vTpxsbGP//8s6Llxo0bHR0db7zxBvvRwMCAvRt2CPLz8xmGmTt37vCHGiYrKysOhzOQBzV37tw5derUW7duKVr6PUUqqHdOdSTbu+++q/yRffeVl5dXv19kGCYmJubOnTu5ubk9rk4rY6fJ2tp6sMHUxd/f38DAICcnh1YAgDEIRS8AAAA1DMPIZDK5XM4wTE1NTUZGxrx58/T19XNzc9lnevl8/qpVq44fP56amtrU1NTd3V1RUfH8+XPVw1ZWVq5du/bevXsdHR23bt0qKyubO3fu0IYaJj6fHx0dnZOTk56e3tTUdOfOnXXr1tna2oaHh7MdnJ2dX758mZub29nZWVNTU1ZWpvx1c3PzysrK0tJSqVTKFrRyuby+vr6rq6uoqCgyMtLe3p5d4WmwQ+Xl5alxySKhUOjo6FhRUTGQE5KWlqa8lmy/p0j1aH3NaWhoqLW19c2bNwd+FDqS7dmzZydOnGhoaOjs7CwoKFizZo29vf26dev63ePdu3e//vrrw4cPc7lcjpK9e/cqd2Onyd3dvd8BNUQkEr3//vu4wxlAqzTwRmgAAIAxgQx1yaLTp0/PmDFDKBQaGhrq6ekRQjgcjqmp6Zw5c+Li4urq6pQ7t7e3x8TE2NvbGxgYWFpaBgYGFhcXHzhwgH0fj4uLS0lJyaFDh9giedKkSQ8ePCgtLZVIJGZmZvr6+uPHj9+6dWtXV1dfQw358Ae4ZJFcLk9MTHRxceFyuWZmZgEBAffv31dsraur8/b25vP5Dg4Of/jDHzZu3EgIcXZ2Zhciunnz5qRJkwQCwfz586uqqsLDw7lc7oQJEwwMDMRi8dKlS0tKSoY21Pnz50UiUXx8fL/5B7h0TUREBJfLbWlpYT/m5OSwL3O2sLBYv359j84bN25UXhZIxSlSPdFM33MaEBBACImNjX01qi5nYxgmOjraycnJyMjIwMDAzs7uo48+qqysVGwtKCiYN2+era0t+/dYGxsbiURy7do1hmH6eiFzYmKi8vh+fn4TJkxg/6VJBQ0tWcTKzMzU19dn338GAFrAYWiszQ0AADAKcDicjIyM5cuX0w5CR3BwMCEkKytLa3tcu3ZtVlaWlh+GzMzMDAkJ6ffvS48ePZo2bVpaWtqKFSu0E0w1uVy+cOHClStXsvfJ6xSK2erq6uzs7OLj46Ojo1X3HOC8D01LS4uVlVVSUtJHH32kifEBoAfc3gwAAAAjRr8vi6LF2dk5Li4uLi5OJpPRzkK6u7tzc3OlUmloaCjtLD3RzbZjx45Zs2ZFRERof9fKhEKhr69vdnY23RgAYweKXgAAAAA12Lx5c3BwcGho6EDeaKVR+fn52dnZeXl5qpcOpoJitn379hUWFp4/f57L5Wp5168KDAy8evXqy5cvaQcBGBNQ9AIAAMAIsGXLlrS0tMbGRgcHh5MnT9KO07tdu3ZFRER89dVXdGP4+Ph8++23NjY2dGP0ila2U6dOtbe35+fnm5mZaXnXvVqyZIm+vv6ZM2doBwEYEwxoBwAAAADoX0JCQkJCAu0U/fP19fX19aWdAnry9/f39/enneI/RCKRj49Pdnb2hx9+SDsLwOiHK70AAAAAANoWGBh46dKlpqYm2kEARj8UvQAAAAAA2rZ06VKGYc6dO0c7CMDoh6IXAAAAAEDbzMzMFixYgHc4A2gBil4AAAAAAAqWLVt24cKF1tZW2kEARjkUvQAAAAAAFCxZsqSlpeXKlSu0gwCMchyGYWhnAAAAGJE4HA7tCACgQVr4e7Knp6eHh8c333yj6R0BjGVYsggAAGCIMjIyaEcALcnLy/vLX/5y6NAh2kFgtFm8ePHBgwcPHjyIf0QD0Bxc6QUAAADox969e/fv319WVkY7CIw2hYWFr7/++o8//ujp6Uk7C8CohWd6AQAAAPrR0dFhaGhIOwWMQrNmzZo8efKZM2doBwEYzVD0AgAAAPQDRS9ozm9+85vTp0/TTgEwmqHoBQAAAOgHil7QnMWLF9++ffvJkye0gwCMWih6AQAAAPqBohc0x9vb29TU9OzZs7SDAIxaKHoBAAAA+oGiFzSHy+W+8847586dox0EYNRC0QsAAADQj46ODh6PRzsFjFrvvffetWvXWlpaaAcBGJ1Q9AIAAAD0A1d6QaPee++99vb269ev0w4CMDqh6AUAAADoB4pe0KgJEyZMnz794sWLtIMAjE4oegEAAAD60d7ejqIXNOq99967cOEC7RQAoxOKXgAAAIB+4EovaNq777577969x48f0w4CMAqh6AUAAADoB15kBZr21ltvGRsb//Wvf6UdBGAUQtELAAAA0A9c6QVNMzQ09Pb2xmO9AJqAohcAAACgHyh6QQvee++9y5cvd3Z20g4CMNqg6AUAAADoB4pe0IJf//rXUqn0xx9/pB0EYLRB0QsAAADQD7y9GbTAxcXF3t7+b3/7G+0gAKMNil4AAACAfuBKL2jHggULUPQCqB2KXgAAAIB+oOgF7fD29v7+++/b2tpoBwEYVVD0AgAAAPQDRS9oh4+PT1tb2w8//EA7CMCogqIXAAAAoB8oekE77O3tHRwccIczgHqh6AUAAADoB4pe0Bpvb28UvQDqhaIXAAAAoB94ezNojbe3940bN5qbm2kHARg9UPQCAAAA9KOjo4PH49FOAWOCt7d3R0dHQUEB7SAAoweKXgAAAABV5HJ5V1cXrvSCdkyYMMHBweEf//gH7SAAoweKXgAAAABVOjo6CCEoekFrJBLJ999/TzsFwOiBohcAAABAFRS9oGUSieSHH37o7u6mHQRglEDRCwAAAKAKil7Qsnnz5jU1Nf3yyy+0gwCMEih6AQAAAFRB0Qta5u7ubmJigjucAdQFRS8AAACAKu3t7YQQvL0ZtEZPT2/OnDkoegHUBUUvAAAAgCq40gvah3dZAagRil4AAAAAVVD0gvZJJJLHjx9XVVXRDgIwGqDoBQAAAFAFRS9o35w5czgczk8//UQ7CMBogKIXAAAAQBUUvaB9pqamTk5O//znP2kHARgNDGgHAAAAANAtTU1NKSkpXC6XEGJmZvbgwQNCyMWLF01MTAQCAZ/P53A4Pj4+tGPCKPfGG2+g6AVQCw7DMLQzAAAAAOgWR0fHsrIyLpcrl8sZhmEYpru7W7F14cKFf/vb3yjGg7Hg66+/TkpKev78Oe0gACMebm8GAAAA6Gn58uUGBgbt7e2dnZ1dXV3KFS+Hw1m1ahXFbDBGvPHGG1VVVSh6AYYPRS8AAABAT4GBgeyjvK/i8/nLli3Tch4Ygzw8PDgczs2bN2kHARjxUPQCAAAA9DR79mwbG5tX27lc7v/7f//P2NhY+5FgrDEzM3NwcMBjvQDDh6IXAAAAoCcOhxMSEvLqG5s7OztxbzNoDd5lBaAWKHoBAAAAetHrHc6TJk2aN28elTwwBr3++uu3b9+mnQJgxEPRCwAAANCLefPmWVhYKLdwudyPPvqIw+HQigRjjaur69OnT6VSKe0gACMbil4AAACAXujp6QUGBirf4dzV1fXBBx9QjARjjZubG8Mw//u//0s7CMDIhqIXAAAAoHfKdzjr6+t7e3vb29vTjQRjiqOjo1AoLC4uph0EYGRD0QsAAADQO29vbxMTE/a/GYZZs2YN3Tww1ujp6U2ZMgVFL8AwoegFAAAA6J2BgcHSpUu5XC4hRCAQ+Pv7004EY46bmxuKXoBhQtELAAAA0KfAwMCuri4DA4OwsDChUEg7Dow5KHoBhg9FLwAAAECffH19BQJBV1fX6tWraWeBscjNza2ioqKxsZF2EIARzIB2AAAAgBFm3759BQUFtFOA9pibm+vp6e3du5d2ENCSqKgoLy8v2in+Zdq0aQzDPHjwwNPTk3YWgJEKV3oBAAAGp6Cg4IcffqCdgpqKioqTJ0/STqENJ0+erKioIITY2dk5ODjQjgNacvLkyfLyctop/mPy5MkGBgaPHz+mHQRgBMOVXgAAgEGbO3duVlYW7RR0ZGZmhoSEjIXD53A4n3322fLly5ubm5uammxtbWknAm3gcDi0I/wfBgYGEydOLCkpoR0EYARD0QsAAACgipGRkZGREe0UMHY5OTnhSi/AcOD2ZgAAAAAA3eXo6IiiF2A4UPQCAAAAAOguXOkFGCYUvQAAAAAAusvR0bG8vLy9vZ12EICRCkUvAAAAAIDucnJyksvlZWVltIMAjFQoegEAADRuzZo1IpGIw+EUFhbSzvIv8fHxnP9r+vTpmtvd+fPnTUxMzpw5o7ld0HX58uXNmzdnZ2c7Ojqy5/ODDz5Q7uDr6ysSifT19d3c3G7evKn9hLqcjQzsBymXy5OSkiQSSY/2uLg4V1dXsVjM4/GcnZ0///xzmUzGbjp9+vSePXu6u7u1cQwaw66YVVpaSjsIwEiFohcAAEDjjhw5cvjwYdopaGIYhnYEDfriiy9SUlK2bNkSGBj4+PFjJyencePGpaennzt3TtHn0qVLWVlZixcvLi4u9vDw0H5IXc42EA8fPnz77bejoqJaWlp6bLp69er69etLS0tra2sTEhKSk5ODg4PZTUuWLOHz+T4+Pg0NDVqPrDampqZGRkaVlZW0gwCMVCh6AQAAxqhjx44xSn755RfN7cvPz6+xsXHx4sWa2wWrtbX11SuBGrV79+4TJ05kZmaKRCJFY0pKip6eXnh4eGNjozbDDITOZlPxg7x9+/amTZvWrVs3a9asV79obGwcHh5ubm4uEomWL18eEBBw4cKF8vJyduunn346c+bM999/v6urS0tHogG2trYoegGGDEUvAACANnA4HNoRxoSjR49WV1drbXePHj3avn37l19+yefzldslEklkZOSzZ882bNigtTADpMvZ+jJz5szs7OywsDAej/fq1rNnz+rr6ys+WlhYEEKULwjv2LGjsLAwOTlZC1E1ZPz48c+fP6edAmCkQtELAACgEQzDJCYmTpkyhcfjmZiYbNy4UXlrd3d3bGysvb29QCCYMWNGRkYGISQ1NdXIyEgoFJ46dWrRokVisdjOzu748eOKb127dm3OnDlCoVAsFru7uzc1NfU1lE757rvv7O3tORzOn/70J9LfYaakpPD5fCsrq7Vr19ra2vL5fIlEcuPGDXZrRESEoaGhjY0N+/GTTz4xMjLicDi1tbWEkMjIyOjo6JKSEg6H4+zsTAi5cOGCWCzetWuXhg4tJSWFYZglS5a8uik+Pv611147cuTI5cuXe/0uwzD79u2bNm0aj8czMzNbunTpvXv32E39/hKGOem6nG34nj17JhAI2OdgWWZmZgsWLEhOTh65t9mPHz8eV3oBho4BAACAwQgKCgoKCuq329atWzkczh//+Mf6+vqWlpYDBw4QQm7dusVu3bBhA4/HO3nyZH19/ZYtW/T09H766Sf2W4SQK1euNDY2VldXv/XWW0ZGRh0dHQzDyGQysVi8Z8+e1tbWqqqqZcuW1dTUqBhKtZ07d9rZ2ZmamnK53MmTJ/v7+//4448DOXy2hhlIT2Xsvab79+9XnJy+DpNhmPDwcCMjo7t377a1tRUXF3t6eopEoqdPn7Jbw8LCrK2tFSMnJiYSQthTwTBMYGCgk5OTYuvZs2dFIlFcXNxgAzMMQwjJyMhQ3cfR0dHV1bVHo5OT05MnTxiG+f777/X09CZPniyTyRiGycvL8/f3V3SLjY01NDQ8duxYQ0NDUVGRh4eHhYVFVVUVu1X1KRrapOtytgH+IN98882ZM2eqGKe5uVkkEkVERPRo37x5s/IfQBUGMu/aFxUVNXfuXNopAEYqXOkFAABQv9bW1qSkpHfeeScqKsrU1FQgEJibmyu2trW1paamBgQEBAYGmpqabtu2jcvlpqWlKTpIJBKxWGxpaRkaGtrc3Pz06VNCSGlpaVNTk5ubG5/Pt7a2zs7OtrCw6Heovnz44YenT58uLy+XyWTHjx9/+vTpggULiouLNXE2+tLrYbIMDAzYy4yurq6pqalSqXQgB/UqPz+/pqam7du3qy/1fzQ3Nz958sTJyamvDl5eXp999llpaemmTZt6bGptbd23b9+yZctWrFhhYmLi7u5+8ODB2traQ4cOKXfr9RQNedJ1OZu6fpAJCQm2trbx8fE92l1cXAghd+7cGeyAOsLW1vbZs2e0UwCMVCh6AQAA1O/Ro0ctLS0+Pj69br1//35LS4tiRRaBQGBjY6O4fVSZoaEhIaSzs5MQ4ujoaGVltWLFih07digWLxn4UD1MnDjx9ddfNzY2NjQ0nDt3blpaWmtrK3s5WvuUD/NVs2fPFgqFAzkoLauurmYYRigUqugTHx8/ZcqUAwcOfPfdd8rtxcXFMpls9uzZihZPT09DQ0PFjdw9KJ+iIU+6LmdTyw8yJycnMzPz4sWLyi8VY7HT9OLFi0ENqDvGjx9fVVUll8tpBwEYkVD0AgAAqF9FRQUhxNLSstetzc3NhJBt27YpliQtKyt7dSGWHgQCwdWrV+fPn79r1y5HR8fQ0NDW1tahDfUqd3d3fX39Bw8eDPaL2sHj8Wpqamin6KmtrY0Q0uurlRT4fH5aWhqHw1m9enVra6uinV1Bx9jYWLmzqampVCrtd7/qmnRdzjaEH+SJEyd2796dn58/efLkV7cKBALy7ykbiaytrTs7O+vr62kHARiRUPQCAACoH/su3/b29l63ssVwUlKS8hNHBQUF/Q7r5uZ25syZysrKmJiYjIyMvXv3DnmoHuRyuVwuV12/0dLZ2dnQ0GBnZ0c7SE9sHdXd3a26m5eXV1RU1MOHD3fu3KloNDU1JYT0KCMHeJjqmnRdzjbYH+T+/fvT09OvXr06fvz4Xjt0dHSQf0/ZSMQ+H4GiF2BoUPQCAACo3/Tp0/X09K5du9br1okTJ/L5/MLCwkGNWVlZeffuXUKIpaXlV1995eHhcffu3aENRQh59913lT+yrxry8vIa7DhakJ+fzzDM3Llz2Y8GBgZ93QitZVZWVhwOZyCr3e7cuXPq1Km3bt1StEyfPt3Y2Pjnn39WtNy4caOjo+ONN97od7QhT7ouZxvyD5JhmJiYmDt37uTm5va4Oq2MnSZra+vBBtMRZmZmBEUvwFCh6AUAAFA/S0vLwMDAkydPHj16tKmpqaioSPklQHw+f9WqVcePH09NTW1qauru7q6oqOh3Ec7Kysq1a9feu3evo6Pj1q1bZWVlc+fOHdpQhJBnz56dOHGioaGhs7OzoKBgzZo19vb269atG+6Rq4lcLq+vr+/q6ioqKoqMjLS3t1+5ciW7ydnZ+eXLl7m5uZ2dnTU1NWVlZcpfNDc3r6ysLC0tlUqlnZ2deXl5mluySCgUOjo6sreyq8beSKy8liyfz4+Ojs7JyUlPT29qarpz5866detsbW3Dw8MHMlpfkx4aGmptbX3z5s2BH4WOZBvyD/Lu3btff/314cOHuVwuR8nevXuVu7HT5O7u3u+AuglFL8CwaOSd0AAAAKPXAJcskkqla9asGTdunLGx8fz582NjYwkhdnZ2t2/fZhimvb09JibG3t7ewMCArZCLi4sPHDjAvm7HxcWlpKTk0KFDYrGYEDJp0qQHDx6UlpZKJBIzMzN9ff3x48dv3bq1q6urr6H6jRcdHe3k5GRkZGRgYGBnZ/fRRx9VVlYO5PCHsGTR/v372ZV1hULhkiVLVB8mwzDh4eFcLnfChAkGBgZisXjp0qUlJSWK0erq6ry9vfl8voODwx/+8Ad2AWRnZ2d2TaObN29OmjRJIBDMnz+/qqrq/PnzIpEoPj5+UIFZZABL10RERHC53JaWFvZjTk4O+zJnCwuL9evX9+i8ceNG5WWB5HJ5YmKii4sLl8s1MzMLCAi4f/8+u6nfU9TXpAcEBBBCYmNjX42qy9mY/n6QBQUF8+bNs7W1Zf/6amNjI5FIrl27xjBMXy9kTkxMVB7fz89vwoQJcrm8170rG8i8a59cLtfX1z9x4gTtIAAjEocZsYt0AwAAUBEcHEwIycrKoh2EjszMzJCQEI3+/WHt2rVZWVl1dXWa28VAcDicjIyM5cuXq+jz6NGjadOmpaWlrVixQmvBVJDL5QsXLly5cuXq1atpZ+mJYra6ujo7O7v4+Pjo6Oh+Ow9kD0V9DAAAIABJREFU3qkYN27crl271q5dSzsIwMiD25sBAABA5/T7digd4ezsHBcXFxcXJ5PJaGch3d3dubm5Uqk0NDSUdpae6GbbsWPHrFmzIiIitL9rNTIzM8PtzQBDg6IXAABgtLl37x6nbzpYEY1omzdvDg4ODg0NHcgbrTQqPz8/Ozs7Ly9P9dLBVFDMtm/fvsLCwvPnz3O5XC3vWr3MzMzY1aQAYLAMaAcAAAAANZs6derIfXxpy5YtaWlpHR0dDg4OiYmJQUFBtBP1b9euXZcuXfrqq692795NMYaPj4+Pjw/FACrQynbq1Kn29vb8/HzlN3WNUGKxeCBLJQPAq1D0AgAAgA5JSEhISEignWLQfH19fX19aaeAnvz9/f39/WmnUA8+n9/X0t8AoBpubwYAAAAA0HV8Pr+1tZV2CoARCUUvAAAAAICu4/F4bW1ttFMAjEgoegEAAAAAdB2fz0fRCzA0KHoBAAAAAHQdil6AIUPRCwAAAACg61D0AgwZ3t4MAAAwaCdPnuRwOLRT0DRGDj8kJCQkJIR2CgBC8CIrgGFA0QsAADBoc+fO/eyzz2inoKOgoCA5OTkjI4N2EI0LCQmJjIz08vKiHQS0Smf/mUNPT08ul9NOATAioegFAAAYNDs7u+XLl9NOQU1ycvJYOPyQkBAvL6+xcKSgTGeLXoZh9PTwZCLAUOBPDgAAAACArpPL5WPksQIAtUPRCwAAAACg63ClF2DI8CcHAAAAAEDX4UovwJCh6AUAAAAA0HW40gswZPiTAwAAAACg63ClF2DIUPQCAABoT3Z2tqOjI0eJoaGhlZXVwoULExMT6+vraQeEIbp8+fLmzZuV5/eDDz5Q7uDr6ysSifT19d3c3G7evKn9hLqcTUEulyclJUkkkh7tcXFxrq6uYrGYx+M5Ozt//vnnMplMucOf//xnT09PkUg0adKkVatWVVVVse2nT5/es2dPd3e3lg5Ak3ClF2DI8CcHAABAewIDAx8/fuzk5GRiYsIwjFwur66uzszMdHBwiImJcXNz+/nnn2lnhEH74osvUlJStmzZopjfcePGpaennzt3TtHn0qVLWVlZixcvLi4u9vDw0H5IXc7Gevjw4dtvvx0VFdXS0tJj09WrV9evX19aWlpbW5uQkJCcnBwcHKzYmpGRERYWFhwcXFFRcerUqevXry9atKirq4sQsmTJEj6f7+Pj09DQoNWD0YDW1lY+n087BcCIhKIXAACAGg6HY2pqunDhwrS0tMzMzBcvXvj5+TU2NtLORVlra+ur1/qoD9WX3bt3nzhxIjMzUyQSKRpTUlL09PTCw8N1cDZ1M9vt27c3bdq0bt26WbNmvbrV2Ng4PDzc3NxcJBItX748ICDgwoUL5eXl7NZvvvlm/PjxGzduNDExmTVrVlRUVGFh4Y0bN9itn3766cyZM99//322DB65WlpajIyMaKcAGJFQ9AIAAOiEoKCglStXVldXHzx4kHYWyo4ePVpdXa1rQ/Xq0aNH27dv//LLL3tcgpNIJJGRkc+ePduwYYPm9j40uplt5syZ2dnZYWFhPB7v1a1nz57V19dXfLSwsCCEKC4Il5eX29raKp53nThxIiGkrKxM0X/Hjh2FhYXJycmay68Fzc3NQqGQdgqAEQlFLwAAgK5YuXIlISQvL4/92N3dHRsba29vLxAIZsyYkZGRQQhJTU01MjISCoWnTp1atGiRWCy2s7M7fvy4YpBr167NmTNHKBSKxWJ3d/empqa+htIohmH27ds3bdo0Ho9nZma2dOnSe/fusZsiIiIMDQ1tbGzYj5988omRkRGHw6mtrSWEREZGRkdHl5SUcDgcZ2fnlJQUPp9vZWW1du1aW1tbPp8vkUgUF/EGNRQh5MKFC2KxeNeuXeo6zJSUFIZhlixZ8uqm+Pj411577ciRI5cvXx7sKep3loc5obqcbSCePXsmEAgcHBzYj46Ojsr/tME+0Ovo6KhoMTMzW7BgQXJyMsMwag+jNbjSCzB0DAAAAAxGUFBQUFDQcEZQPNPbA1ugTpw4kf24YcMGHo938uTJ+vr6LVu26Onp/fTTTwzDbN26lRBy5cqVxsbG6urqt956y8jIqKOjg2EYmUwmFov37NnT2tpaVVW1bNmympoaFUMNAVvD9NstNjbW0NDw2LFjDQ0NRUVFHh4eFhYWVVVV7NawsDBra2tF58TEREIIG5VhmMDAQCcnJ8XW8PBwIyOju3fvtrW1FRcXs+8revr06RCGOnv2rEgkiouLG8iREkIyMjJU93F0dHR1de3R6OTk9OTJE4Zhvv/+ez09vcmTJ8tkMoZh8vLy/P39Fd1UnyIVs8wMY0J1ORvrzTffnDlzpooOzc3NIpEoIiJC0ZKfn8/lclNSUpqamn755Zdp06a9++67Pb61efNmQsitW7f6DTCQeadiwYIFn3zyCe0UACMSrvQCAADoCpFIxOFwpFIpIaStrS01NTUgICAwMNDU1HTbtm1cLjctLU3RWSKRiMViS0vL0NDQ5ubmp0+fEkJKS0ubmprc3Nz4fL61tXV2draFhUW/Q6lda2vrvn37li1btmLFChMTE3d394MHD9bW1h46dGhoAxoYGLBXHV1dXVNTU6VS6dDy+/n5NTU1bd++fWgxemhubn7y5ImTk1NfHby8vD777LPS0tJNmzb12DTAU9TrLKtlQnU5m2oJCQm2trbx8fGKlgULFsTExERERIjF4unTp0ul0iNHjvT4louLCyHkzp07akyiZc3NzbjSCzA0KHoBAAB0RXNzM8MwYrGYEHL//v2Wlpbp06ezmwQCgY2NjeIWU2WGhoaEkM7OTkKIo6OjlZXVihUrduzYUVpaynYY+FDqUlxcLJPJZs+erWjx9PQ0NDRU3JY8HLNnzxYKhRrNP0DV1dUMw6h+zDI+Pn7KlCkHDhz47rvvlNsHe4qUZ1ldE6rL2fqSk5OTmZl58eJF5deGbd269dChQ1euXJHJZI8fP5ZIJF5eXorXXLHYaXrx4oW6kmhfS0sLnukFGBoUvQAAALriwYMHhJCpU6cSQpqbmwkh27ZtU6zoW1ZW9upSLj0IBIKrV6/Onz9/165djo6OoaGhra2tQxtqONjlYYyNjZUbTU1N2YvYw8fj8WpqatQy1HC0tbWxYVT04fP5aWlpHA5n9erVra2tivbhnCJ1TaguZ+vViRMndu/enZ+fP3nyZEXj8+fP9+zZ8/HHH//qV78yMjJycHA4fPhwZWUle6O7gkAgIP+eshEKV3oBhgxFLwAAgK64cOECIWTRokWEEEtLS0JIUlKS8lNJBQUF/Q7i5uZ25syZysrKmJiYjIyMvXv3DnmoITM1NSWE9KiRGhoa7Ozshj94Z2enuoYaJraO6u7uVt3Ny8srKirq4cOHO3fuVDQO5xSpcUJ1OVsP+/fvT09Pv3r16vjx45XbHz582N3drdwoFovNzc2Li4uVu3V0dJB/T9kIVVdXN27cONopAEYkFL0AAAA6oaqqKikpyc7ObvXq1YSQiRMn8vn8wsLCQQ1SWVl59+5dQoilpeVXX33l4eFx9+7doQ01HNOnTzc2Nv75558VLTdu3Ojo6HjjjTfYjwYGBuzdsEOQn5/PMMzcuXOHP9QwWVlZcTicgax2u3PnzqlTp966dUvR0u8pUkG9E6rL2VgMw8TExNy5cyc3N7fH9WdCCFuKP3/+XNEilUpfvnzJLlykwE6TtbW1GoNpU1tbm0wmQ9ELMDQoegEAAChgGEYmk8nlcoZhampqMjIy5s2bp6+vn5ubyz7Ty+fzV61adfz48dTU1Kampu7u7oqKCuW/2feqsrJy7dq19+7d6+jouHXrVllZ2dy5c4c21HDw+fzo6OicnJz09PSmpqY7d+6sW7fO1tY2PDyc7eDs7Pzy5cvc3NzOzs6amhrlJVUJIebm5pWVlaWlpVKplC1o5XJ5fX19V1dXUVFRZGSkvb09u7zTYIfKy8tT45JFQqHQ0dGxoqJiICckLS1NeaXZfk+R6tH6mtDQ0FBra+ubN28O/Ch0ORvr7t27X3/99eHDh7lcLkfJ3r17CSEODg7e3t6HDx++fv16a2treXk5m/P3v/+98iDsNLm7uw927zqCXYWLXaAYAAZNE6+EBgAAGMWGs2TR6dOnZ8yYIRQKDQ0N9fT0CCEcDsfU1HTOnDlxcXF1dXXKndvb22NiYuzt7Q0MDCwtLQMDA4uLiw8cOMC+zMbFxaWkpOTQoUNskTxp0qQHDx6UlpZKJBIzMzN9ff3x48dv3bq1q6urr6GGdggDXLJILpcnJia6uLhwuVwzM7OAgID79+8rttbV1Xl7e/P5fAcHhz/84Q8bN24khDg7O7MLEd28eXPSpEkCgWD+/PlVVVXh4eFcLnfChAkGBgZisXjp0qUlJSVDG+r8+fMikSg+Pn4gR0oGsHRNREQEl8ttaWlhP+bk5LAvc7awsFi/fn2Pzhs3blReFkjFKVI9y0zfExoQEEAIiY2NfTWqLmdjGKagoGDevHm2trbsX1BtbGwkEsm1a9cYhunrlcuJiYnsd2trayMjI52dnXk8nrGx8bx58/7yl7/0GN/Pz2/ChAnsPzOpNpB51z72UrzyHyIAGDgOM5IX6QYAANC+4OBgQkhWVhbtIHRkZmaGhIRo8+8Pa9euzcrKqqur09oeWRwOJyMjY/ny5Sr6PHr0aNq0aWlpaStWrNBaMBXkcvnChQtXrlzJ3iSvUyhmq6urs7Ozi4+Pj46O7rfzQOZd+y5fvvzrX/+6rq7O3NycdhaAkQe3NwMAAICu6/dlUbQ4OzvHxcXFxcXJZDLaWUh3d3dubq5UKg0NDaWdpSe62Xbs2DFr1qyIiAjt71pdamtr9fX12XeMAcBgoegFAAAAGLrNmzcHBweHhoYO5I1WGpWfn5+dnZ2Xl6eDq7lSzLZv377CwsLz589zuVwt71qN2Gu87DMRADBY+JMDAAAAumvLli1paWmNjY0ODg4nT56kHad3u3btioiI+Oqrr+jG8PHx+fbbb21sbOjG6BWtbKdOnWpvb8/PzzczM9PyrtWrtrYWb7ECGDID2gEAAAAA+pSQkJCQkEA7Rf98fX19fX1pp4Ce/P39/f39aadQg4qKigkTJtBOATBS4UovAAAAAIBOKy8v77HyMAAMHIpeAAAAAACdVlFRYWdnRzsFwEiFohcAAAAAQKfhSi/AcKDoBQAAAADQXVKptKmpCVd6AYYML7ICAAAYtIqKiszMTNop6CgoKCCEjJHDZw8WgK7y8nJCCK70AgwZil4AAIBB++GHH0JCQminoGmMHH5ycnJycjLtFDDWsUUvrvQCDBmKXgAAgMHJysqiHQG0xMnJKTw8/PPPP6cdBMa0iooKY2NjU1NT2kEARio80wsAAADQO6lUamxsTDsFjHUPHz50cXGhnQJgBEPRCwAAANA7mUyGoheoe/DgAYpegOFA0QsAAADQi+7u7tbWVpFIRDsIjHUPHjx47bXXaKcAGMFQ9AIAAAD0QiqVEkJwpRfoksvlJSUluNILMBwoegEAAAB6IZPJCIpeoO3p06dtbW240gswHCh6AQAAAHrBFr24vRnoevDgASEERS/AcKDoBQAAAOgFbm8GXfDw4cNx48aZm5vTDgIwgqHoBQAAAOgFbm8GXYC3WAEMH4peAAAAgF7g9mbQBUVFRe7u7rRTAIxsKHoBAAAAeiGVSg0MDHg8Hu0gMKb98ssvKHoBhglFLwAAAEAvZDIZLvMCXc+ePautrZ0xYwbtIAAjG4peAAAAgF7IZDI80At0FRUVEULc3NxoBwEY2VD0AgAAAPRCKpXiSi/QVVRUNHHixHHjxtEOAjCyoegFAAAA6EVzczOu9AJdd+7cwb3NAMOHohcAAACgF1KpFEUv0FVUVISiF2D4UPQCAAAA9AIvsgK6Ojo67t+/P336dNpBAEY8FL0AAAAAvcCLrICu27dvd3R0vPHGG7SDAIx4KHoBAAAAeoHbm4GuH3/80cTExMXFhXYQgBEPRS8AAABAL3B7M9D1008/zZkzR08Pf10HGC78KQIAAADohUwmMzIyop0Cxq4bN27MmTOHdgqA0QBFLwAAAEAvsE4vUNTY2PjgwQMUvQBqgaIXAAAAoBd4kRVQ9NNPP8nlck9PT9pBAEYDFL0AAAAAvcAzvUDRjz/+aG9vb2trSzsIwGiAohcAAACgp46Ojo6ODlzpBVrYt1jRTgEwSqDoBQAAAOhJKpUSQlD0AhUMwxQUFLz55pu0gwCMEih6AQAAAHqSyWSEENzeDFQ8ePDgxYsXb731Fu0gAKMEil4AAACAntiiF1d6gYrr168bGRl5eHjQDgIwSqDoBQAAAOgJtzcDRX//+9+9vLy4XC7tIACjBIpeAAAAgJ5wezNQ9Pe//x33NgOoEYpeAAAAgJ7YotfIyIh2EBhzKioqSktL3377bdpBAEYPFL0AAAAAPUmlUj6fj/tLQfvy8/MNDQ2xXhGAGqHoBQAAAOhJJpPhgV6g4u9//7unp6dQKKQdBGD0QNELAAAA0JNMJsMDvUDF9evX8UAvgHoZ0A4AAAAAQN+VK1eCg4OFQqGxsbGxsbFUKm1ra1u5cqWRkZFIJBKLxdOnT1+yZAntmDDKPXv27N69ez4+PrSDAIwqKHoBAAAAiEQiaWlpqa+vV25MT0/X09MjhHR2dh46dIhSNBhDLl26xOfz582bRzsIwKiC25sBAAAAiEAg8PHx0dfXV27s7u7u7Ozs7OwUCAShoaG0ssHY8de//vXtt98WCAS0gwCMKih6AQAAAAghpK+7l7lc7sqVK/GIL2gawzBXrlz59a9/TTsIwGiDohcAAACAEEIWL14sl8tfbe/s7Pzoo4+0nwfGmsLCwurqahS9AGqHohcAAACAEELGjx/v6urao1FPT8/T0/P111+nEgnGlEuXLllbW8+YMYN2EIDRBkUvAAAAwL8sW7aMy+X2aFy/fj2VMDDW/PWvf33nnXc4HA7tIACjDYpeAAAAgH/x8/Pr7OxUbhEKhUFBQbTywNjR1tb2/fff495mAE1A0QsAAADwL56enuPGjVN8NDQ0/Oijj4RCIcVIMEb87W9/a2tre+edd2gHARiFUPQCAAAA/Iuent7ixYsVdzh3dHSsWbOGbiQYI86ePfv6669PmDCBdhCAUQhFLwAAAMB//OY3v+nq6iKE6Ovrz5s379VXWwFowvnz53/zm9/QTgEwOqHoBQAAAPiPd99918DAgBDCMAxeYQXaUVRUVFpa6ufnRzsIwOiEohcAAADgP4yNjefPn08IMTExWbZsGe04MCacPXvWyspq9uzZtIMAjE4oegEAAAD+D39/f0LIxx9/bGhoSDsLjAnnzp3z8/PT08PfzAE0gsMwDO0MAAAA9AUHB588eZJ2CgDQIUFBQVlZWZreS11dnbW1dUZGRmBgoKb3BTA2GdAOAAAAoCvmzp372Wef0U4xkoSEhERGRnp5edEOon7//d///eGHH7L/nZSURAjBb2OsYeddC86dO6evr+/r66ud3QGMQSh6AQAA/sXOzm758uW0U4wkISEhXl5eo/KkLVmyhM/ns//NXusblYcJKmjhGi/r3LlzCxYsEIlE2tkdwBiEJwcAAAAAelJUvAAa1dHRcfHiRby3GUCjUPQCAAAAANBx+fLlpqamgIAA2kEARjMUvQAAAAAAdOTk5Hh6etrb29MOAjCaoegFAAAAAKCgu7v79OnTWA4aQNNQ9AIAAAAAUHD9+vWampqlS5fSDgIwyqHoBQAAGKI1a9aIRCIOh1NYWEg7ixrI5fKkpCSJRKLpHZ0/f97ExOTMmTOa3hEtly9f3rx5c3Z2tqOjI4fD4XA4H3zwgXIHX19fkUikr6/v5uZ28+ZN7SfU5WwKff0g4+LiXF1dxWIxj8dzdnb+/PPPZTKZcoc///nPnp6eIpFo0qRJq1atqqqqYttPnz69Z8+e7u5uLR3AAOTk5Li7u0+ZMoV2EIBRDkUvAADAEB05cuTw4cO0U6jHw4cP33777aioqJaWFk3vi2EYTe+Coi+++CIlJWXLli2BgYGPHz92cnIaN25cenr6uXPnFH0uXbqUlZW1ePHi4uJiDw8P7YfU5WwsFT/Iq1evrl+/vrS0tLa2NiEhITk5OTg4WLE1IyMjLCwsODi4oqLi1KlT169fX7RoUVdXF/n3MlQ+Pj4NDQ1aPZg+MAxz6tQp3NsMoAUoegEAAEah1tbWgV+zvX379qZNm9atWzdr1iyNpmL5+fk1NjYuXrxY0zsa1ElQi927d584cSIzM1N5zdWUlBQ9Pb3w8PDGxkZthhkI3cym+gdpbGwcHh5ubm4uEomWL18eEBBw4cKF8vJydus333wzfvz4jRs3mpiYzJo1KyoqqrCw8MaNG+zWTz/9dObMme+//z5bBtN148aN8vJyFL0AWoCiFwAAYOg4HA7tCL07evRodXX1ADvPnDkzOzs7LCyMx+NpNJWWDeokDN+jR4+2b9/+5Zdf9ljjVyKRREZGPnv2bMOGDVoLM0C6mU31D/Ls2bP6+vqKjxYWFoQQxQXh8vJyW1tbxR/MiRMnEkLKysoU/Xfs2FFYWJicnKy5/AOUk5Pj4OAwY8YM2kEARj8UvQAAAIPAMExiYuKUKVN4PJ6JicnGjRsVm77++muhUCgSiaqrq6OjoydMmHD//n2GYfbt2zdt2jQej2dmZrZ06dJ79+6x/VNSUvh8vpWV1dq1a21tbfl8vkQiUVySYvfV13cjIiIMDQ1tbGzYj5988omRkRGHw6mtrSWEREZGRkdHl5SUcDgcZ2dnLZ2agfnuu+/s7e05HM6f/vQnQkhqaqqRkZFQKDx16tSiRYvEYrGdnd3x48fZzqpP0WBPwoULF8Ri8a5duzR0aCkpKQzDLFmy5NVN8fHxr7322pEjRy5fvtzrd1XMtepTRAjp7u6OjY21t7cXCAQzZszIyMgYVGxdzjYQz549EwgEDg4O7EdHR0flf+lgH+h1dHRUtJiZmS1YsCA5OZnubfYMw+Tk5AQFBVHMADCGMAAAAMAwQUFBQUFB/XbbunUrh8P54x//WF9f39LScuDAAULIrVu3FFsJIZ9++un+/fuXLVv2v//7v7GxsYaGhseOHWtoaCgqKvLw8LCwsKiqqmL7h4eHGxkZ3b17t62trbi4mH37ztOnT9mtqr8bFhZmbW2tCJaYmEgIqampYT8GBgY6OTkN9iS8+eabM2fOHHh/QkhGRsZg98Leibp//372I3vSrly50tjYWF1d/dZbbxkZGXV0dLBbVZ+iQZ2Es2fPikSiuLi4wQYe4G/D0dHR1dW1R6OTk9OTJ08Yhvn+++/19PQmT54sk8kYhsnLy/P391d0Uz3Xqk/Rhg0beDzeyZMn6+vrt2zZoqen99NPPw3kuHQ5G6vfH2Rzc7NIJIqIiFC05Ofnc7nclJSUpqamX375Zdq0ae+++26Pb23evFn5j21fBjjvQ/PDDz8QQv75z39qaHwAUIYrvQAAAAPV2tqalJT0zjvvREVFmZqaCgQCc3PzV7vt3r17/fr12dnZkyZN2rdv37Jly1asWGFiYuLu7n7w4MHa2tpDhw4pOhsYGLDX0FxdXVNTU6VSaVpaGruvfr87mkgkErFYbGlpGRoa2tzc/PTpU8Wmvk7RYPn5+TU1NW3fvl19qf+jubn5yZMnTk5OfXXw8vL67LPPSktLN23a1GPTAOe611PU1taWmpoaEBAQGBhoamq6bds2Lpc72POjy9lUS0hIsLW1jY+PV7QsWLAgJiYmIiJCLBZPnz5dKpUeOXKkx7dcXFwIIXfu3FFjksHKyMhwcnKi+KowgDEFRS8AAMBAPXr0qKWlxcfHZ4D9i4uLZTLZ7NmzFS2enp6GhobK9zArmz17tlAoZO8dHex3Rw1DQ0NCSGdnZ69blU+RTqmurmYYRigUqugTHx8/ZcqUAwcOfPfdd8rtg51r5VN0//79lpaW6dOns5sEAoGNjc0Qzo8uZ+tLTk5OZmbmxYsXlV8btnXr1kOHDl25ckUmkz1+/FgikXh5eSlec8Vip+nFixfqSjJYcrk8Kyvrt7/9La0AAGMNil4AAICBqqioIIRYWloOsD+7MoqxsbFyo6mpqVQq7esrPB6vpqZmaN8dIxSnSKe0tbURQlS/CYzP56elpXE4nNWrV7e2tirahzPXzc3NhJBt27Zx/q2srGwI607pcrZenThxYvfu3fn5+ZMnT1Y0Pn/+fM+ePR9//PGvfvUrIyMjBweHw4cPV1ZWsve9KwgEAvLvKaPiu+++q6ioCAkJoRUAYKxB0QsAADBQ7Ft529vbB9jf1NSUENKjPGhoaLCzs+u1f2dnp2LrYL87RiifIp3C1lHd3d2qu3l5eUVFRT18+HDnzp2KxuHMNftPMElJScpPrxUUFAzhEHQ5Ww/79+9PT0+/evXq+PHjldsfPnzY3d2t3CgWi83NzYuLi5W7dXR0kH9PGRUZGRnu7u5ubm60AgCMNSh6AQAABmr69Ol6enrXrl0beH9jY+Off/5Z0XLjxo2Ojo433nij1/75+fkMw8ydO3cg3zUwMOjrHuBRTPkUEV06CVZWVhwOZyCr3e7cuXPq1Km3bt1StAz2d6Js4sSJfD6/sLBwaLFHUDYWwzAxMTF37tzJzc3tcf2ZEMKW4s+fP1e0SKXSly9fsgsXKbDTZG1trcZgA9fd3Z2dnY3LvADahKIXAABgoCwtLQMDA0+ePHn06NGmpqaioiLVr5Xi8/nR0dE5OTnp6elNTU137txZt26dra1teHi4oo9cLq+vr+/q6ioqKoqMjLS3t1+5cuVAvuvs7Pzy5cvc3NzOzs6amhrllUgJIebm5pWVlaWlpVKpVEfKwiHr6xSRQZ6EvLw8zS1ZJBQKHR0d2RvgVWNvJFZeaXYgvxMVo61ater48eOpqalNTU3M+8arAAAgAElEQVTd3d0VFRVs1RcaGmptbX3z5s2BH4UuZ2PdvXv366+/Pnz4MJfL5SjZu3cvIcTBwcHb2/vw4cPXr19vbW0tLy9nc/7+979XHoSdJnd398HuXS2uXLny4sWL5cuXU9k7wBilvRdFAwAA6LABLk8ilUrXrFkzbtw4Y2Pj+fPnx8bGEkLs7Oxu3769Z88e9obJiRMnHjt2jO0vl8sTExNdXFy4XK6ZmVlAQAC7eC8rPDycy+VOmDDBwMBALBYvXbq0pKREsVX1d+vq6ry9vfl8voODwx/+8Ad2xWBnZ2d2OZ+bN29OmjRJIBDMnz9fsbpMXwoKCubNm2dra8v+3cDGxkYikVy7dq3fs0EGv2TR/v372ZV1hULhkiVLDhw4wL5VyMXFpaSk5NChQ2KxmBAyadKkBw8e9HuKBnUSzp8/LxKJ4uPjBxWYGfBvIyIigsvltrS0sB9zcnLYlzlbWFisX7++R+eNGzcqLwukYq77PUXt7e0xMTH29vYGBgbsv8sUFxczDBMQEEAIiY2NfTWqLmdjVP4g+3rlcmJiIvvd2trayMhIZ2dnHo9nbGw8b968v/zlLz3G9/PzmzBhglwu73XvChpasmj16tWenp5qHxYAVOAwVBfmBgAA0BHBwcGEkKysLG3udO3atVlZWXV1ddrcqRpxOJyMjAyNXrPShVM0wN/Go0ePpk2blpaWtmLFCq3k6odcLl+4cOHKlStXr15NO0tPFLPV1dXZ2dnFx8dHR0er7qmJ/yd0dHTY2Nhs2bJlw4YNahwWAFTD7c0AAAA09fvqIxgpp8jZ2TkuLi4uLk4mk9HOQrq7u3Nzc6VSaWhoKO0sPdHNtmPHjlmzZkVERGh/14SQc+fONTY26uCkAIxuKHoBAABGs3v37nH6hr98q9fmzZuDg4NDQ0MH8kYrjcrPz8/Ozs7Ly1O9dDAVFLPt27evsLDw/PnzXC5Xy7tmHTt2zNvbWwdfPw4wuqHoBQAAoGPLli1paWmNjY0ODg4nT57U0F6mTp2q4jGnEydOaGi/aqGdU6Reu3btioiI+Oqrr+jG8PHx+fbbb9nHp3UNrWynTp1qb2/Pz883MzPT8q5ZL1++PH/+/AcffEBl7wBjGZ7pBQAAIITSM70jnRae6dUF+G2MTWqf9//6r//asGFDVVWVSCRS15gAMBC40gsAAAAAoHHHjh0LCAhAxQugfSh6AQAAAAA069GjRz/88APubQagAkUvAAAAAIBmHTt2zMrKysfHh3YQgLEIRS8AAAAAgAYxDPPtt9+uWLHCwMCAdhaAsQh/8AAAAP6loqIiMzOTdooRpqCggHYEjauoqCCE4Lcx1lRUVKhrbaF//OMfJSUluLcZgBa8vRkAAIAQQoKDg0fKojgAoB1BQUFqeXvzxx9//MMPPxQVFQ1/KAAYAlzpBQAA+Bd1/QV37MCSRTCKsfM+fK2trVlZWbGxsWoZDQCGAM/0AgAAAABoSmZmZktLy4oVK2gHARi7UPQCAAAAAGhKWlra4sWLLS0taQcBGLtwezMAAAAAgEY8efLk+vXrZ86coR0EYEzDlV4AAAAAAI04evSotbX1u+++SzsIwJiGohcAAAAAQP3kcvn//M//rFq1CsvzAtCFohcAAAAAQP0uXrxYXl7+u9/9jnYQgLEORS8AAMBwZWdnOzo6cpQYGhpaWVktXLgwMTGxvr6edkDQqsuXL2/evFn5V/HBBx8od/D19RWJRPr6+m5ubjdv3tR+Ql3OpiCXy5OSkiQSSY/2uLg4V1dXsVjM4/GcnZ0///xzmUym3OHPf/6zp6enSCSaNGnSqlWrqqqq2PbTp0/v2bOnu7tbSwdASFpa2ltvvTV16lSt7REAeoWiFwAAYLgCAwMfP37s5ORkYmLCMIxcLq+urs7MzHRwcIiJiXFzc/v5559pZwQt+eKLL1JSUrZs2aL4VYwbNy49Pf3cuXOKPpcuXcrKylq8eHFxcbGHh4f2Q+pyNtbDhw/ffvvtqKiolpaWHpuuXr26fv360tLS2trahISE5ORk5QV1MzIywsLCgoODKyoqTp06df369UWLFnV1dRFClixZwufzfXx8GhoatHAIdXV1p0+fXrVqlRb2BQCqoegFAABQMw6HY2pqunDhwrS0tMzMzBcvXvj5+TU2NtLO1VNra+url9F0ihoTaudgd+/efeLEiczMTJFIpGhMSUnR09MLDw/Xwd+Abma7ffv2pk2b1q1bN2vWrFe3Ghsbh4eHm5ubi0Si5cuXBwQEXLhwoby8nN36zTffjB8/fuPGjSYmJrNmzYqKiiosLLxx4wa79dNPP505c+b777/PlsEalZ6ebmhoqFyQAwAtKHoBAAA0KCgoaOXKldXV1QcPHqSdpaejR49WV1fTTqGKGhNq4WAfPXq0ffv2L7/8ks/nK7dLJJLIyMhnz55t2LBBowGGQDezzZw5Mzs7OywsjMfjvbr17Nmz+vr6io8WFhaEEMUF4fLycltbWw6Hw36cOHEiIaSsrEzRf8eOHYWFhcnJyZrLzzp8+HBYWJixsbGmdwQA/ULRCwAAoFkrV64khOTl5RFCvv76a6FQKBKJqquro6OjJ0yYcP/+/2fvzuOauPP/gX8GCAkJCYcgIMjtAdXCeqyKWq/WVl1UFJQWu63WFrWKFLzwoIpoRRR5YKFVbNmtqBweYBXwXLRW6+pDUYpVAQ9ApRxyHxLC/P6YX/PNIoYAIRPC6/lX5/OZ+eQ1R2zezPWApumIiAgnJycul2tkZDR79uz79+8zy0ZFRfF4vL59+y5ZssTCwoLH47m5uUlPWxFC5Czr5+enq6trbm7OTH755ZcCgYCiqLKyMkKIv79/YGBgfn4+RVGOjo7dt/rKSih/U3R0ZTMyMkQi0bZt25S4plFRUTRNz5w58/Wu0NDQgQMHHjhw4Pz58x3dSjExMQKBgM/np6amTps2TSQSWVlZHTlyRLqsRCIJDg62trbW09N7++23ExMTOxRbnbMp4tmzZ3p6enZ2dsykvb297F83mBt67e3tpS1GRkYTJkyIjIykaVrpYaQyMzNzcnI+//zz7vsIAOgAGgAAAGja09PT09OzKyNI7+ltpbq6mhDSv39/ZnLDhg2EkJUrV+7du3fOnDl//PFHcHCwrq7uwYMHKysr7969O2zYMBMTk+LiYmZ+X19fgUBw7969xsbGnJwc5gk9BQUFTK/8ZX18fMzMzKRJwsPDCSGlpaXM5Ny5cx0cHLqyyoSQxMRE+fMoMaH8TdGhoU6dOiUUCkNCQhRZTQWPDXt7e2dn51aNDg4Ojx8/pmn66tWrWlpatra2tbW1NE2np6fPmjVLOpv8rcQcMxcuXKiqqiopKRk/frxAIGhqamJ6V61axeVyjx49WlFRsX79ei0trRs3biiyXuqcjTFq1CgXFxc5M9TV1QmFQj8/P2lLZmYmh8OJioqqrq7+/fffnZyc3n///VZLBQUFEUJu374t/9O78m/C/PnzR48e3bllAUDpcKYXAACgewmFQoqiampqZBt37NixfPnyY8eO2djYREREzJkzZ8GCBQYGBkOHDv3+++/Lysr2798vnVlHR4c5z+bs7BwTE1NTUxMXF0cIaWhoaHdZdik94Zs2RUfNmDGjurp606ZNnYvxurq6usePHzs4OLxphjFjxnz11VdPnjxZt25dqy4Ft5Kbm5tIJDI1NfX29q6rqysoKCCENDY2xsTEeHh4zJ0719DQcOPGjRwOp6PbRJ2zybd9+3YLC4vQ0FBpy4QJE9auXevn5ycSiYYMGVJTU3PgwIFWSw0YMIAQkp2drcQkskpLS1NSUnx9fbtpfADoKBS9AAAA3auuro6maZFI1GZvTk5ObW3tiBEjpC0jR47U1dWVvYZZ1ogRI/h8PnN9aUeXVb1uTSi7KVhXUlJC0zSfz5czT2ho6KBBg6Kjo69cuSLb3tGtpKurSwgRi8WEkAcPHtTX1w8ZMoTp0tPTMzc378Q2Uedsb3L8+PGkpKQzZ87IPjZsw4YN+/fvv3DhQm1t7aNHj9zc3MaMGSN9zBWD2U1//vmnspK0cuDAAT09vXnz5nXT+ADQUSh6AQAAutfDhw8JIW96Vyfz9pRWT7sxNDRsdWZYFpfLLS0t7dyyKtbdCaWbgnWNjY2EkDYfvCTF4/Hi4uIoilq0aFFDQ4O0vStbqa6ujhCyceNG6Tuinz59+vprftqlztnalJCQsGPHjszMTFtbW2njixcvwsLCvvjii8mTJwsEAjs7u9jY2OfPnzPXukvp6emRv3aZ0tE0/eOPPy5cuFD+X0AAQJVQ9AIAAHSvjIwMQsi0adPa7DU0NCSEtCohKisrrays2pxfLBZLezu6rOp1a0LZTcE6po6SSCTyZxszZkxAQEBubu7WrVuljV3ZSqampoSQPXv2yN69du3atU6sgjpna2Xv3r3x8fEXL17s16+fbHtubq5EIpFtFIlExsbGOTk5srM1NTWRv3aZ0mVkZOTl5S1evLg7BgeAzkHRCwAA0I2Ki4v37NljZWW1aNGiNmcYMmSIvr7+zZs3pS3Xr19vamoaPnx4m/NnZmbSND169GhFltXR0WEuNGVLtyaU3RRdHKrr+vbtS1GUIm+73bp16+DBg2/fvi1t6egxIKt///48Hi8rK6tzsXtQNgZN02vXrs3Ozk5JSXn9bUBMKf7ixQtpS01NzcuXL5kXF0kxu8nMzEyJwaS+//77SZMmOTs7d8fgANA5KHoBAACUhqbp2tralpYWmqZLS0sTExPHjh2rra2dkpLypnt6eTxeYGDg8ePH4+Pjq6urs7Ozly5damFhIfsUnJaWloqKiubm5rt37/r7+1tbWzOvQWp3WUdHx5cvX6akpIjF4tLSUtm3lRJCjI2Nnz9//uTJk5qamm4qF5We8E2boqNDpaenK/eVRXw+397evqioqN05mQuJZd80q8gxIGe0hQsXHjlyJCYmprq6WiKRFBUVMVWft7e3mZnZrVu3FF8Ldc7GuHfv3s6dO2NjYzkcDiVj165dhBA7O7tJkybFxsZevny5oaGhsLCQyfnZZ5/JDsLspqFDh3b009tVVFR0+vTpJUuWKH1kAOgS1TwkGgAAQM115fUkJ0+efPvtt/l8vq6urpaWFiGEoihDQ8O///3vISEh5eXl0jnDwsKYiyr79+9/8OBBprGlpSU8PHzAgAEcDsfIyMjDw4N5eS/D19eXw+FYWlrq6OiIRKLZs2fn5+dLe+UvW15ePmnSJB6PZ2dnt2LFitWrVxNCHB0dmdf83Lp1y8bGRk9Pb9y4cdI30HQIUeCVRUpMKH9TdGiotLQ0oVAYGhqqyGoqeGz4+flxOJz6+npm8vjx48zDnE1MTJYvX95q5tWrV8u+FkjOVoqOjmbuDh0wYEB+fv7+/fuZP6DY2Ng8fPiQpulXr16tXbvW2tpaR0fH1NR07ty5OTk5NE17eHgQQoKDg1+Pqs7ZaJq+du3a2LFjLSwsmB+r5ubmbm5uly5domn6TY9cDg8PZ5YtKyvz9/d3dHTkcrn6+vpjx449ceJEq/FnzJhhaWnJ/HFKjk78mxAcHGxqatrY2NihpQCgu1F0d76YGwAAoKfw8vIihCQnJ7MdpLUlS5YkJyeXl5ezHaQNFEUlJiaq7Cm1bG0KBY+NvLw8JyenuLi4BQsWqCRXO1paWiZOnPjpp5++6dJ6FrGYrby83MrKKjQ0NDAwUP6cHf03obm52dbW9pNPPlHiFQQAoBS4vBkAAEDdtft4pN5DnTeFo6NjSEhISEhIbW0t21mIRCJJSUmpqanx9vZmO0tr7GbbvHmzq6urn5+f0kc+efLkixcv8AgrADWEohcAAABAOYKCgry8vLy9vRV5olW3yszMPHbsWHp6uhq+OIfFbBEREVlZWWlpaRwOR+mD79u374MPPrCzs1P6yADQRSh6AQAA1Nf69evj4uKqqqrs7OyOHj3Kdhw29ZRNsW3bNj8/v2+++YbdGFOmTDl06JC5uTm7MdrEVrbU1NRXr15lZmYaGRkpffD8/Pzz58/jEVYA6gn39AIAABCixvf0qjMV39PLFhwbvVOH9vuaNWsSEhIeP34s++xrAFATONMLAAAAANB5TU1N//73vz///HNUvADqCUUvAAAAAEDnJScnv3z5Ug2fkg0ADBS9AAAAAACdt2/fvlmzZllaWrIdBADapsN2AAAAAACAnuqPP/64cuXK2bNn2Q4CAG+EohcAAOD/++2335hH14Di9uzZo/FPePrtt9/IX4816opXr17p6upSFKWMUNDtfvvtt9GjR7c7W0xMjL29/eTJk1UQCQA6B0UvAAAAIYSMGTOG7Qg9j6enJ9sRVEGRyqddLS0t//nPf8zMzP72t791fTRQgdGjR7f7z0JNTc3Bgwc3btyopYV7BgHUF4peAAAAQggJCAhgOwJouJSUFC8vL3d39z179rCdBZRj3759LS0tixcvZjsIAMiDP0oBAAAAqMLs2bPj4uKioqK2bt3KdhZQArFYHBUV9cUXXxgaGrKdBQDkwZleAAAAABVZsGBBU1PT4sWLeTze6tWr2Y4DXRIfH19cXOzn58d2EABoB4peAAAAANVZtGhRTU3NV199JRKJfH192Y4DnUTT9O7du318fKytrdnOAgDtQNELAAAAoFIrV66sqKhYtmyZvr6+j48P23GgM37++ed79+4lJCSwHQQA2kfRNM12BgAAAIBeZ+3atbt37z5y5AhelNXjtLS0DBs2zNbWNiUlhe0sANA+nOkFAAAAYMGOHTuqq6sXLFggEAimT5/OdhzogEOHDv3++++HDh1iOwgAKARnegEAAADYQdP0559/fvjw4fT09AkTJrAdBxTS1NTk5OQ0adKkAwcOsJ0FABSCVxYBAAAAsIOiqH379rm7u8+cOfPGjRtsxwGFREdHP3/+/Ouvv2Y7CAAoCmd6AQAAANjU1NQ0Z86cX3/99eLFi3/729/YjgPy1NTUODo6Llq06JtvvmE7CwAoCkUvAAAAAMsaGhqmT59+7969zMxMJycntuPAGwUGBv773//Ozc01MjJiOwsAKApFLwAAAAD76urqPvjggydPnly+fNnOzo7tONCG7Ozs4cOHx8TELF68mO0sANABKHoBAAAA1EJVVdXkyZOrqqouX77cr18/tuPA/2hpaRk3bpxEIrl27ZqWFh6LA9CT4BsLAAAAoBYMDAwyMjJ0dXUnT578559/sh0H/sf+/ftv3Lixb98+VLwAPQ7O9AIAAACokWfPno0fP14kEv3nP//BjaNqoqysbPDgwYsWLdq5cyfbWQCgw1D0AgAAAKiXgoKC8ePH9+vX79y5c/r6+mzHATJ//vzffvstJycHuwOgJ8LlGQAAAADqxdra+ty5c48fP541a1ZjYyPbcXq7w4cPJycnf//996h4AXoonOkFAAAAUEd3796dNGnSyJEjU1NTuVwu23F6qefPnw8dOvSjjz7au3cv21kAoJNQ9AIAAACoqevXr7/33nvvvfdeYmKijo4O23F6HZqmZ8yY8fDhw6ysLJzmBei5cHkzAAAAgJoaNWpUSkpKWlra4sWLW1pa2I7T63z33Xfnzp2Lj49HxQvQo6HoBQAAAFBfkydPTk1NTUhIWLlyJdtZepecnJw1a9asXbt29OjRbGcBgC7B5c0AAAAA6u7EiRPz5s1bsWJFREQE21l6hdra2lGjRolEokuXLunq6rIdBwC6RHvz5s1sZwAAAAAAeZycnGxtbYOCgnR1dcePH892HM23ePHiu3fvXrx4Ea9KBtAAeCICAAAAQA/wz3/+s7a29ssvv9TV1Q0MDGQ7jiaLiYk5dOhQWlqapaUl21kAQAlQ9AIAAAD0DMuWLWtqagoICBAKhV988QXbcTTTzZs3AwICNm3a9P7777OdBQCUA/f0AgAAAPQkmzZt2r59e3x8/Icffsh2Fk1TXFw8atSoQYMGZWRkaGnhga8AGgJnegEAAAB6kq1btzY2Nn7yySf6+vru7u5sx9EcTU1N8+fP19bWPnz4MCpeAE2CohcAAACgh9m5c2dNTY2np2dKSsq0adPYjqMhli1blpWVdfXqVRMTE7azAIAyoegFAAAA6GEoioqJiWHq3vT09HfeeYftRD1eWFjYv/71r9TU1LfeeovtLACgZLinFwAAAKBHkkgkH3744ZkzZy5cuDBixAi24/Rgqampc+bM2b17t7+/P9tZAED5UPQCAAAA9FRNTU2zZ8++ceNGZmYmTlF2zrVr1959990FCxbs27eP7SwA0C1Q9AIAAAD0YPX19dOnT//jjz8uX748aNAgtuP0MHl5eWPHjv373/9+4sQJHR3c9wegmVD0AgAAAPRs1dXV7777bnFx8eXLl21tbdmO02M8f/587Nixffv2vXjxokAgYDsOAHQXFL0AAAAAPV5lZeXkyZNramouX75sYWHRqpemaYqiWAmmtqqrqydMmFBXV/frr7+ampqyHQcAuhFeQQYAAADQ4xkaGmZkZOjo6EydOrW8vFy2KzY2Nioqiq1g6uDFixetWurr6//xj3+UlJScO3cOFS+AxkPRCwAAAKAJ+vbte+7cudra2nfffbeiooJp3LNnj6+vb1hYWHNzM7vx2HLz5k1XV9eHDx9KW5qamjw9Pf/444+zZ8/a2NiwmA0AVANFLwAAAICGsLKyOnfuXElJyYwZM2pra7du3RoYGEjTdHFxcXJyMtvp2BEUFFRSUjJx4sSCggJCiFgs9vLyunr1akZGBp53DdBL4J5eAAAAAI2Sk5MzceLEt95669KlS0yLlpbWkCFD7ty5w24w1bty5cr48eMJIRwOp1+/fr/++uuqVat+/vnnjIyMcePGsZ0OAFQERS8AAACARqFp+pNPPomPj2/1M+8///nPxIkTWQrFjnHjxl2/fp25tJvD4Zibm5eVlaWnp0+YMIHtaACgOri8GQAAAEBzSCSSRYsWHTp0qFXFq6OjExYWxlYqVqSlpf3666/Sm5nFYnFxcfGAAQOGDx/ObjAAUDGc6QUAAADQEE1NTR9++GFqaqpEInm9l6KonJwcJycn1QdTPZqmhw0blp2d3WpTcDicsWPHZmRkcLlctrIBgIrhTC8AAACAhli5cuXx48dbWlra7NXR0YmIiFBxJLYcPXr0zp07rxf/YrH4ypUrXl5evfZx1gC9EM70AgAAAGgIsVgcFxe3adOmsrKyNktfDodTUFBgbm6u+myqJJFIBg8e/OjRozfV/4SQFStW9PLXFwP0HjjTCwAAAKAhOBzOF198UVhY+N1335mamuro6LSagabp7777jpVsqhQfH99mxaulpUVRlKWlZURERGhoKCvZAED1cKYXAAAAQAPV19fHxsaGhIRUV1fLXsorEomeP38uEAhYzNatxGKxg4PDs2fPZIteDocjFotdXFwCAgI++uij1/8cAAAaDGd6AQAAADQQn89fuXJlQUFBaGioUCjU1tZm2uvq6n766Sd2s3Wr2NhY2YqXw+FQFPXee+/9+uuvWVlZ//znP1HxAvQ2ONMLAAAAoOEqKysjIiJ2794tFovFYrGtrW1+fr6Wlgae/GhoaLCxsSkrKyOEaGlp8Xi8ZcuWrVixon///mxHAwDWoOgFAABgQVFR0dWrV9lOAb1LTU3Nzz//nJaWJhaLV61aNXLkSLYTKd/JkycPHTpECDExMXF3d584cSKPx2M7FPR48+bNYzsCdAmKXgAAABYkJSXNnz+f7RQAANA+VEw9HW5pAAAAYI2G/ZDy8vIihCQnJ7MdpHsxf7Do6fvu+fPnffr04XK5bAdRpps3b2ppaQ0bNoztIKA58AdKzYCiFwAAAKDX6devH9sRlG/EiBFsRwAAdaSBDzAAAAAAAAAAYKDoBQAAAAAAAI2FohcAAAAAAAA0FopeAAAAAAAA0FgoegEAAAAAAEBjoegFAADo2RYvXiwUCimKysrK6mjvm7S0tOzZs8fNzU15Md8oLS3NwMDg559/VsFnqdKSJUuovyxYsEC26/z580FBQceOHbO3t2dm+Pjjj2VnmDp1qlAo1NbWfuutt27duqXa4IQQos7ZpN50lIaEhDg7O4tEIi6X6+jouGbNmtraWtkZDh8+PHLkSKFQaGNjs3DhwuLiYqb95MmTYWFhEomkE2GwT5VCBfs0JSVF+sU0MTHp7jUCdUEDAACAyiUmJirx/8JHjhwhhNy+fbsTva97+PDh2LFjCSEuLi4diuHp6enp6dmhRWiaPnXqlEgkOnnyZEcXZIuC+87X19fY2Dg9Pf3BgweNjY3S9uDgYHd39+rqambSwcGhT58+hJBTp07JLp6enj5r1izlJu8odc4m5yidMGFCdHR0eXl5dXV1YmIih8P54IMPpL0JCQmEkLCwsMrKytu3b9vb27u6uorFYqY3MjJywoQJFRUVHQqDfaoUqtmnLS0tRUVFly9fnj59ep8+fdpNpdx/q4EtONMLAAAA/+fOnTvr1q1bunSpq6uraj5xxowZVVVV7u7u3f1BDQ0Nqjl3LaWnp/fBBx8MHDiQy+UyLTt27EhISEhKShIKhdLZoqKitLS0fH19q6qqVBlPEeqZTf5Rqq+vz/zFQSgUzps3z8PDIyMjo7CwkOndt29fv379Vq9ebWBg4OrqGhAQkJWVdf36daZ35cqVLi4u06dPb25uVjAM9qlSqGyfUhRlaWk5fvz4AQMGqGztgHUoegEAAHo8iqI63duKi4vLsWPHfHx8pHWaxvjhhx9KSkpYDJCXl7dp06YtW7bweDzZdjc3N39//2fPnq1atYqtbG+intnkH6WnTp3S1taWTjKXsNbX1zOThYWFFhYW0i9F//79CSFPnz6Vzr958+asrKzIyEhFkmCfKov67FPQSCh6AQAA1Ncvv/zi7OxsYGDA4/GGDh165swZpp2m6fDw8EGDBnG5XAMDg9WrV4tyZWYAACAASURBVMsuJb9XrVy5csXa2pqiqG+//ZYQEhMTIxAI+Hx+amrqtGnTRCKRlZUVc3k2ISQqKorH4/Xt23fJkiUWFhY8Hs/NzU16PsfPz09XV9fc3JyZ/PLLLwUCAUVRZWVlhBB/f//AwMD8/HyKohwdHQkhGRkZIpFo27ZtKlvZqKgomqZnzpz5eldoaOjAgQMPHDhw/vz5NpelaToiIsLJyYnL5RoZGc2ePfv+/ftMl/yNRgiRSCTBwcHW1tZ6enpvv/02c7mm4tQ5myKePXump6dnZ2fHTNrb28v+7YO5+dPe3l7aYmRkNGHChMjISJqm2x0c+1Tz9iloJrauqwYAAOjNFLxPLDk5efPmzS9fviwvLx89erT0DrQNGzZQFLV79+6Kior6+vro6Ggic9eu/F4FjRo1SjX39DLXKO7du5eZ3LBhAyHkwoULVVVVJSUl48ePFwgETU1NTK+vr69AILh3715jY2NOTg7z6JqCggKm18fHx8zMTDpyeHg4IaS0tJSZnDt3roODg7T31KlTQqEwJCSko4EVv6fX0tJStsXe3t7Z2bnVbA4ODo8fP6Zp+urVq1paWra2trW1tfRr91gGBwfr6uoePHiwsrLy7t27w4YNMzExKS4uZnrlb7RVq1ZxudyjR49WVFSsX79eS0vrxo0biqypOmdjtHuU1tXVCYVCPz8/aUtmZiaHw4mKiqqurv7999+dnJzef//9VksFBQUp+JXBPu25+3TlypW4p7f3wC4EAABgQSd+SG3fvp0QUlJSUl9fz+fz33vvPWmX7KOq5Pcqjt2it6GhgZlkKva8vDxm0tfX18DAQLrsjRs3CCFbtmxhJjtU9HZa54re2tpaiqLc3d1bzSYtQmiaDgwMJIQsX76c/t8ipL6+Xl9f39vbW7rUf//7X0KItGKXs9EaGhr4fL502fr6ei6Xu2zZMkXWVJ2zMdo9Sjds2DBw4EDpI6YYGzdulJ7+sbKyKiwsbLXUjz/+SAj56aef5H869qlyszFUtk9R9PYquLwZAACgZ+BwOIQQiUSSl5dXX18/ZcqUNmeT39vj6OrqEkLEYnGbvSNGjODz+dILL9VZSUkJTdN8Pl/OPKGhoYMGDYqOjr5y5Ypse05OTm1t7YgRI6QtI0eO1NXVlV7a3YrsRnvw4EF9ff2QIUOYLj09PXNz805sMXXO9ibHjx9PSko6c+aM7COmNmzYsH///gsXLtTW1j569MjNzW3MmDHSRyIxmN30559/yh8f+7T7sr1Jd+9T0FQoegEAANTX6dOnJ06caGpqyuVy16xZwzQWFRURQkxNTdtcRH6v5uFyuaWlpWynaF9jYyMhRP7jwXg8XlxcHEVRixYtamhokLZXVlYSQvT19WVnNjQ0rKmpafdz6+rqCCEbN26Uvpv06dOn0icAKU6ds7UpISFhx44dmZmZtra20sYXL16EhYV98cUXkydPFggEdnZ2sbGxz58/Zy4KkNLT0yN/7TI5sE+7L1ubVLBPQVOh6AUAAFBTBQUFHh4e5ubm169fr6qqCgsLY9qZ58S+evWqzaXk92oYsVhcWVlpZWXFdpD2Mb+5JRKJ/NnGjBkTEBCQm5u7detWaaOhoSEhpFXJoeCKM3/+2LNnj+yVfteuXevEKqhztlb27t0bHx9/8eLFfv36ybbn5uZKJBLZRpFIZGxsnJOTIztbU1MT+WuXyYF92q3ZWlHNPgVNhaIXAABATWVnZ4vF4mXLltnb2/N4POkLOYYMGaKlpXXp0qU2l5Lfq2EyMzNpmh49ejQzqaOj86YLoVnXt29fiqIUeTPq1q1bBw8efPv2bWnLkCFD9PX1b968KW25fv16U1PT8OHD2x2tf//+PB4vKyurc7F7UDYGTdNr167Nzs5OSUlpda6SEMKUbS9evJC21NTUvHz5knnJjRSzm8zMzOR/FvZpd2djqHKfgqZC0QsAAKCmrK2tCSHnz59vbGzMzc2V3lBnamo6d+7co0eP/vDDD9XV1Xfv3t2/f790Kfm9GqClpaWioqK5ufnu3bv+/v7W1taffvop0+Xo6Pjy5cuUlBSxWFxaWir7ok5CiLGx8fPnz588eVJTUyMWi9PT01X5yiI+n29vb89cfC4fc9Gp7FtJeTxeYGDg8ePH4+Pjq6urs7Ozly5damFh4evrq8hoCxcuPHLkSExMTHV1tUQiKSoqYioEb29vMzOzW7duKb4W6pyNce/evZ07d8bGxnI4HErGrl27CCF2dnaTJk2KjY29fPlyQ0NDYWEhk/Ozzz6THYTZTUOHDpWfBPu0u7MxlL5PoTfqlsdjAQAAgFwKPhF07dq1xsbGhoaGXl5ezJtsHRwcCgoKampqFi9e3KdPH319/XHjxgUHBxNCrKys7ty5Q9O0/F75rl27NnbsWAsLC+Z3grm5uZub26VLlxRZqU48vXnv3r3Mm3X5fP7MmTOjo6OZ580MGDAgPz9///79IpGIEGJjY/Pw4UOapn19fTkcjqWlpY6Ojkgkmj17dn5+vnS08vLySZMm8Xg8Ozu7FStWMC8odnR0ZN5pdOvWLRsbGz09vXHjxhUXF6elpQmFwtDQ0A4FprvwyiI/Pz8Oh1NfX89MHj9+3MHBgRBiYmLCPEFX1urVq2VfIdPS0hIeHj5gwAAOh2NkZOTh4fHgwQOmq92N9urVq7Vr11pbW+vo6DB/E8nJyaFp2sPDgxASHBz8enh1zkbLPUqzs7Pb/MUbHh7OLFtWVubv7+/o6MjlcvX19ceOHXvixIlW48+YMcPS0rKlpaXdJNinPXGfMvD05l4FuxAAAIAFGvlDqnOvLOoQX19fY2Pjbv2IdnW66M3NzdXR0Tl48GC3ResYiUQyfvz4H374ge0gbWAxW1lZGY/H27VrlyJJsE8Vpz77lIGit1fB5c0AAADQk7T73CD10dDQcObMmdzcXOYhOo6OjiEhISEhIbW1tWxHIxKJJCUlpaamxtvbm+0srbGbbfPmza6urn5+fookwT5VkPrsU5qmnz9/fuXKlby8PNUnAbag6AUAAOgt7t+/T72ZGv5Q7ulevnz5wQcfDBw4cNGiRUxLUFCQl5eXt7e3Ik8/6laZmZnHjh1LT0+X/5pZVrCYLSIiIisrKy0tjXkttiJJsE8VoT77NDU11dLScvz48adPn1ZxEmARRdM02xkAAAB6naSkpPnz52vY/4W9vLwIIcnJyd00/vr163fv3t3U1GRraxseHu7p6dlNHyRf1/fd2bNnL168uGPHDiWmgq5LTU29d+/emjVrZJ/qpCDsU/XUlX3K0Mh/q3shFL0AAAAs0MgfUt1d9KoJjdx3ANAmfN81Ay5vBgAAAAAAAI2FohcAAAAAAAA0FopeAAAAAAAA0FgoegEAAAAAAEBj6bAdAAAAoPdinvykMX777TeicSv1uqKiItILVhMAyF/fd+jpcKYXAAAAAAAANBbO9AIAALBGw97u06teWaTxqwkA5K/vO9spoKtwphcAAAAAAAA0FopeAAAAAAAA0FgoegEAAAAAAEBjoegFAAAAAAAAjYWiFwAAAAAAADQWil4AAIAe7PDhwxRFubm5tTvn4sWLhUIhRVFZWVkd7QXonPPnzwcFBR07dsze3p6iKIqiPv74Y9kZpk6dKhQKtbW133rrrVu3bqk+oTpnk2ppadmzZ8/rX/OQkBBnZ2eRSMTlch0dHdesWVNbWys7w+HDh0eOHCkUCm1sbBYuXFhcXMy0nzx5MiwsTCKRqGgFANiGohcAAKAHO3z4sIODw7Vr1/Ly8uTPeeDAgdjY2M71AnTC119/HRUVtX79+rlz5z569MjBwaFPnz7x8fGnT5+WznP27Nnk5GR3d/ecnJxhw4apPqQ6Z2Pk5ua+8847AQEB9fX1rbouXry4fPnyJ0+elJWVbd++PTIyknltGCMxMdHHx8fLy6uoqCg1NfXy5cvTpk1rbm4mhMycOZPH402ZMqWyslKlKwPAEhS9AAAAPVV5efm9e/e2bNlCCPnpp5/YjqMKDQ0NipzWVvFQ8LodO3YkJCQkJSUJhUJpY1RUlJaWlq+vb1VVFYvZ2qSe2e7cubNu3bqlS5e6urq+3quvr+/r62tsbCwUCufNm+fh4ZGRkVFYWMj07tu3r1+/fqtXrzYwMHB1dQ0ICMjKyrp+/TrTu3LlShcXl+nTpzNlMIBmQ9ELAADQUyUlJc2YMYM5aXPw4EGapuXPT1FUp3vVxA8//FBSUqJuQ0EreXl5mzZt2rJlC4/Hk213c3Pz9/d/9uzZqlWr2Mr2JuqZzcXF5dixYz4+Plwu9/XeU6dOaWtrSydNTEwIIdITwoWFhRYWFtLvdf/+/QkhT58+lc6/efPmrKysyMjI7ssPoCZQ9AIAAPRUhw8fnjNnjlAonDp16pMnT3755ZdWM9A0HR4ePmjQIC6Xa2BgsHr1asV7uw9N0xEREU5OTlwu18jIaPbs2ffv32e6/Pz8dHV1zc3Nmckvv/xSIBBQFFVWVkYI8ff3DwwMzM/PpyjK0dExKiqKx+P17dt3yZIlFhYWPB7Pzc1NeiKrQ0MRQjIyMkQi0bZt21SzETRbVFQUTdMzZ858vSs0NHTgwIEHDhw4f/58m8vKOTxiYmIEAgGfz09NTZ02bZpIJLKysjpy5Ih0WYlEEhwcbG1traen9/bbbycmJnYotjpnU8SzZ8/09PTs7OyYSXt7e9k/6zA39Nrb20tbjIyMJkyYEBkZ2e7fywB6PBoAAABUjvnJ25URnj59ampq2tzcTNP0wYMHCSGfffZZq3k2bNhAUdTu3bsrKirq6+ujo6MJIbdv31aktxM8PT09PT3bnS04OFhXV/fgwYOVlZV3794dNmyYiYlJcXEx0+vj42NmZiadOTw8nBBSWlrKTM6dO9fBwUHa6+vrKxAI7t2719jYmJOTwzyzp6CgoBNDnTp1SigUhoSEtJu/6/tO49nb2zs7O7dqdHBwePz4MU3TV69e1dLSsrW1ra2tpWk6PT191qxZ0tnkHx4bNmwghFy4cKGqqqqkpGT8+PECgaCpqYnpXbVqFZfLPXr0aEVFxfr167W0tG7cuKFIYHXOxhg1apSLi4ucGerq6oRCoZ+fn7QlMzOTw+FERUVVV1f//vvvTk5O77//fqulgoKCuvit13j4vmsGnOkFAADokQ4fPvyPf/yDubhx5syZXC43OTm5oaFBOkNDQ8OePXvefffdgIAAQ0NDPT09Y2NjBXu7T0NDQ0RExJw5cxYsWGBgYDB06NDvv/++rKxs//79nRtQR0eHOfPm7OwcExNTU1MTFxfXiXFmzJhRXV29adOmzsUAqbq6usePHzs4OLxphjFjxnz11VdPnjxZt25dqy4FDw83NzeRSGRqaurt7V1XV1dQUEAIaWxsjImJ8fDwmDt3rqGh4caNGzkcTkcPBnXOJt/27dstLCxCQ0OlLRMmTFi7dq2fn59IJBoyZEhNTc2BAwdaLTVgwABCSHZ2thKTAKghFL0AAAA9EnNtM/PfIpFo6tSp1dXVqamp0hny8vLq6+unTJnS5uLye7tPTk5ObW3tiBEjpC0jR47U1dWVXpbcFSNGjODz+dIrToEVJSUlNE3z+Xw584SGhg4aNCg6OvrKlSuy7R09PHR1dQkhYrGYEPLgwYP6+vohQ4YwXXp6eubm5p04GNQ525scP348KSnpzJkzso8N27Bhw/79+y9cuFBbW/vo0SM3N7cxY8ZIH3PFYHbTn3/+qawkAOoJRS8AAEDP8/vvv2dnZ7u7u1N/+fnnn8n/PsO5qKiIEGJqatrmCPJ7uw/zihR9fX3ZRkNDw5qaGqWMz+VyS0tLlTIUdE5jYyMhpM0HL0nxeLy4uDiKohYtWiR7eUJXDo+6ujpCyMaNG6VfiqdPn77+mp92qXO2NiUkJOzYsSMzM9PW1lba+OLFi7CwsC+++GLy5MkCgcDOzi42Nvb58+fMRf5Senp65K9dBqDBUPQCAAD0PIcOHfrwww9lb1h6+fKlnp7e2bNnmcfVEEKYB+e+evWqzRHk93YfQ0NDQkirOqGystLKyqrrg4vFYmUNBZ3G1FESiUT+bGPGjAkICMjNzd26dau0sSuHB/MXnD179sh+L65du9aJVVDnbK3s3bs3Pj7+4sWL/fr1k23Pzc2VSCSyjSKRyNjYOCcnR3a2pqYm8tcuA9BgKHoBAAB6GJqmExISvvzyS9lGIyMjLy8viURy+PBhpmXIkCFaWlqXLl1qcxD5vd1nyJAh+vr6N2/elLZcv369qalp+PDhzKSOjg5zRWgnZGZm0jQ9evTorg8Fnda3b1+KohR52+3WrVsHDx58+/ZtaUu7h4cc/fv35/F4WVlZnYvdg7IxaJpeu3ZtdnZ2SkpKq/PPhBCmFH/x4oW0paam5uXLl8yLi6SY3WRmZqbEYABqCEUvAABAD3P16lWRSDR27NhW7UuXLiUyVzibmprOnTv36NGjP/zwQ3V19d27d2WfuCO/t/vweLzAwMDjx4/Hx8dXV1dnZ2cvXbrUwsLC19eXmcHR0fHly5cpKSlisbi0tFT2taKEEGNj4+fPnz958qSmpoYpaFtaWioqKpqbm+/evevv729tbf3pp592Yqj09HS8skgp+Hy+vb09c/28fMyFxLJvmm338JA/2sKFC48cORITE1NdXS2RSIqKipiqz9vb28zM7NatW4qvhTpnY9y7d2/nzp2xsbEcDoeSsWvXLkKInZ3dpEmTYmNjL1++3NDQUFhYyOT87LPPZAdhdtPQoUM7+ukAPUx3Px4aAAAAXtfp12B89tlnAoFAR0fHxcXl1q1b0vatW7daWFgw/3O3tLSMjo6mabqmpmbx4sV9+vTR19cfN25ccHAwIcTKyurOnTvt9naCgq8samlpCQ8PHzBgAIfDMTIy8vDwePDggbS3vLx80qRJPB7Pzs5uxYoVzNuDHR0dmRcR3bp1y8bGRk9Pb9y4ccXFxb6+vhwOx9LSUkdHRyQSzZ49Oz8/v3NDpaWlCYXC0NDQdvPjFSbt8vPz43A49fX1zOTx48eZhzmbmJgsX7681cyrV6+WfS2QnMMjOjqaefDSgAED8vPz9+/fLxKJCCE2NjYPHz6kafrVq1dr1661trbW0dFh/qyTk5ND07SHhwchJDg4+PWo6pyNpulr166NHTtW+tU2Nzd3c3O7dOkSTdNveuRyeHg4s2xZWZm/v7+joyOXy9XX1x87duyJEydajT9jxgxLS8uWlpY2Px1ofN81BUXjbdQAAAAql5SUNH/+fA37v7CXlxchJDk5WWWfuGTJkuTk5PLycpV9ItHQfadceXl5Tk5OcXFxCxYsYDsLIYS0tLRMnDjx008/XbRoEdtZWmMxW3l5uZWVVWhoaGBgoIo/ugfB910z4PJmAAAA6MHafWASqJ6jo2NISEhISEhtbS3bWYhEIklJSampqfH29mY7S2vsZtu8ebOrq6ufn5/qPxpAxVD0AgAAAICSBQUFeXl5eXt7K/JEq26VmZl57Nix9PR0+a8OZgWL2SIiIrKystLS0jgcjoo/GkD1UPQCAABAj7R+/fq4uLiqqio7O7ujR4+yHQda27Ztm5+f3zfffMNujClTphw6dMjc3JzdGG1iK1tqauqrV68yMzONjIxU/NEArNBhOwAAAABAZ2zfvn379u1spwB5pk6dOnXqVLZTQGuzZs2aNWsW2ykAVAdnegEAAAAAAEBjoegFAAAAAAAAjYWiFwAAAAAAADQWil4AAAAAAADQWCh6AQAAAAAAQGPh6c0AAACsoSiK7QjKp5Er9bpespoAABoARS8AAAAL3NzcEhMT2U4BoEzXrl2LjIzEgQ0A6oaiaZrtDAAAAADQ4yUlJc2fPx+/LQFA3eCeXgAAAAAAANBYKHoBAAAAAABAY6HoBQAAAAAAAI2FohcAAAAAAAA0FopeAAAAAAAA0FgoegEAAAAAAEBjoegFAAAAAAAAjYWiFwAAAAAAADQWil4AAAAAAADQWCh6AQAAAAAAQGOh6AUAAAAAAACNhaIXAAAAAAAANBaKXgAAAAAAANBYKHoBAAAAAABAY6HoBQAAAAAAAI2FohcAAAAAAAA0FopeAAAAAAAA0FgoegEAAAAAAEBjoegFAAAAAAAAjYWiFwAAAAAAADQWil4AAAAAAADQWCh6AQAAAAAAQGOh6AUAAAAAAACNhaIXAAAAAAAANBaKXgAAAAAAANBYKHoBAAAAAABAY6HoBQAAAAAAAI2FohcAAAAAAAA0FopeAAAAAAAA0FgoegEAAAAAAEBjoegFAAAAAAAAjYWiFwAAAAAAADSWDtsBAAAAAKBHKi0tPXHihHTy5s2bhJD9+/dLW4RC4YcffshCMgAAGRRN02xnAAAAAICe59WrV3379q2trdXW1iaEML8qKYpiesVi8SeffPKvf/2LxYQAAASXNwMAAABA53C5XE9PTx0dHbFYLBaLm5ubm5ubxX8hhHz00UdsZwQAwJleAAAAAOisCxcuvPvuu212GRoalpaW6ujgZjoAYBnO9AIAAABAJ02aNMnU1PT1dg6Hs2DBAlS8AKAOUPQCAAAAQCdpaWn5+PhwOJxW7WKxGI+wAgA1gcubAQAAAKDz/vvf/44aNapVY79+/YqKiqQPtQIAYBHO9AIAAABA5/3973+3sbGRbdHV1f3kk09Q8QKAmkDRCwAAAABd8vHHH8te4dzU1IRrmwFAfeDyZgAAAADokvv37zs5OUknHR0dc3NzWcwDACALZ3oBAAAAoEsGDx7s7OzMXM/M4XAWLlzIdiIAgP+DohcAAAAAuuqf//yntrY2IaS5uRnXNgOAWsHlzQAAAADQVQUFBba2tjRNDx8+/ObNm2zHAQD4PzjTCwAAAABdZW1tzby46JNPPmE7CwDA/9BhOwAAAAB0xrVr1yIiIthOAfB/Xr16RVHU2bNnL1++zHYWgP+TnJzMdgRgGc70AgAA9EiFhYVHjx5lOwX0eL/99ttvv/2mlKGsrKzMzMx4PJ5SRlOuoqIifF96Iex3YOBMLwAAQA+GMxjQRV5eXkR5B1JeXp6jo6NShlKupKSk+fPn4/vS2zD7ne0UwD6c6QUAAAAA5VDPihcAejkUvQAAAAAAAKCxUPQCAAAAAACAxkLRCwAAAAAAABoLRS8AAAAAAABoLBS9AAAAGmvXrl19+/alKOr7779nO4s6en37pKWlGRgY/Pzzz0oZX7mjtaulpWXPnj1ubm4q+CwVr5rqnT9/Pigo6NixY/b29hRFURT18ccfy84wdepUoVCora391ltv3bp1S/UJ1Tmb1JuOyZCQEGdnZ5FIxOVyHR0d16xZU1tbKzvD4cOHR44cKRQKbWxsFi5cWFxczLSfPHkyLCxMIpGoaAVAU6DoBQAA0FirVq26evUq2ynU1+vbh6ZpJY6v3NHky83NfeeddwICAurr61XwcapcNdX7+uuvo6Ki1q9fP3fu3EePHjk4OPTp0yc+Pv706dPSec6ePZucnOzu7p6TkzNs2DDVh1TnbAw5x+TFixeXL1/+5MmTsrKy7du3R0ZGMq/OYiQmJvr4+Hh5eRUVFaWmpl6+fHnatGnNzc2EkJkzZ/J4vClTplRWVqp0ZaCHQ9ELAAAA8P/NmDGjqqrK3d29c4s3NDTIntTq4miKu3Pnzrp165YuXerq6trdn8VQ2aq12qQqsGPHjoSEhKSkJKFQKG2MiorS0tLy9fWtqqpSZRhFqGc2+cekvr6+r6+vsbGxUCicN2+eh4dHRkZGYWEh07tv375+/fqtXr3awMDA1dU1ICAgKyvr+vXrTO/KlStdXFymT5/OlMEAikDRCwAAAKAcP/zwQ0lJieo/18XF5dixYz4+PlwuV/Wf3q1UvEnz8vI2bdq0ZcsWHo8n2+7m5ubv7//s2bNVq1apLIyC1DOb/GPy1KlT2tra0kkTExNCiPSEcGFhoYWFBUVRzGT//v0JIU+fPpXOv3nz5qysrMjIyO7LDxoGRS8AAEAv8ssvvzg7OxsYGPB4vKFDh545c4YQsnjxYubOQAcHh9u3bxNCFi5cyOfzDQwMTp48SQiRSCTBwcHW1tZ6enpvv/12YmIiIWTnzp18Pl8oFJaUlAQGBlpaWj548EDOR8fExAgEAj6fn5qaOm3aNJFIZGVldeTIEekMNE1HREQ4OTlxuVwjI6PZs2ffv3+f6Xr9s5YuXSoQCLS0tIYPH25mZsbhcAQCwbBhw8aPH9+/f38ej2doaLhmzRr5K97KlStXrK2tKYr69ttvCSF5eXnUa86dO/em0fz9/QMDA/Pz8ymKcnR0bDWa/BVsd+OolVarJj98VFQUj8fr27fvkiVLLCwseDyem5ub9Kydn5+frq6uubk5M/nll18KBAKKosrKyshrm5QQkpGRIRKJtm3b1k2rFhUVRdP0zJkzX+8KDQ0dOHDggQMHzp8/3+ayXdm/bX7FFKfO2RTx7NkzPT09Ozs7ZtLe3l72Lx3MDb329vbSFiMjowkTJkRGRmr2ZfagTDQAAAD0QMxPz3Zny83NJYR89913zGRycvLmzZtfvnxZXl4+evToPn36MO1z587V1tZ+9uyZdMGPPvro5MmTzH+vWrWKy+UePXq0oqJi/fr1WlpaN27coGl6w4YNhJCVK1fu3bt3zpw5f/zxh/wwzPwXLlyoqqoqKSkZP368QCBoampieoODg3V1dQ8ePFhZWXn37t1hw4aZmJgUFxfLLiv7WV9//TUh5Pr163V1dWVlZR988AEh5PTp06WlpXV1dX5+foSQrKws+SveavswF1ju3buX6Vq3bl1dXR1N0y9evDAyMnJzc5NIJPI3o4ODg3R9ZUdTcAXftHEUNGrUKBcXlw4t4unp6enp2aFF6NdWTX54X19fgUBw7969xsbGnJwc5gFFBQUFTK+Pj4+ZmZl05PDwcEJIaWkpM9lqk546dUooFIaE9YWnpAAAGSBJREFUhHQ0sILfF3t7e2dn51aNDg4Ojx8/pmn66tWrWlpatra2tbW1NE2np6fPmjVLOltX9u+bvmLtUudsjHaPybq6OqFQ6OfnJ23JzMzkcDhRUVHV1dW///67k5PT+++/32qpoKAgQsjt27flf7qC+x00Hg4CAACAHqlzRa+s7du3E0JKSkpommZOEIWGhjJdVVVVAwYMaG5upmm6oaGBz+d7e3szXfX19Vwud9myZfRfv5UbGhoUzNxq/ujoaEJIXl4eM6y+vr70U2ia/u9//0sIkZY3r38WU/TW1NQwk//+978JIdnZ2bKLJyQkyF9xOUWvLA8PDx6Pd//+ffmjySl6O7qCshtHcewWvW8K7+vra2BgIF32xo0bhJAtW7Ywkx0qejtNke9LbW0tRVHu7u6t2qWFJU3TgYGBhJDly5fT/1tYdmX/yvmKtUudszHaPSY3bNgwcODA6upq2caNGzdKT9FZWVkVFha2WurHH38khPz000/yPx1FLzBweTMAAEAvxeFwCCHMyz8mT548cODAH3/8kaZpQkhCQoK3tzdz092DBw/q6+uHDBnCLKWnp2dubi69NrIrdHV1CSFisZgQkpOTU1tbO2LECGnvyJEjdXV1pdfBKjia9Nk2zNoxg7ciu+KKSEpKOnHixJYtWwYNGtTp0Tq6grIbp8eRH37EiBF8Pl8ph5ByMX+54PP5cuYJDQ0dNGhQdHT0lStXZNu7sn+V9RVT52xvcvz48aSkpDNnzsg+NmzDhg379++/cOFCbW3to0eP3NzcxowZI33MFYPZTX/++aeykoBmQ9ELAADQi5w+fXrixImmpqZcLlf2lleKopYsWfLo0aMLFy4QQn766afPPvuM6aqrqyOEbNy4UXpf69OnT5X+XhzmBST6+vqyjYaGhjU1NUoZ/00r3q7y8vIVK1aMHDmSOY3W6dG6ewV7Fi6XW1paynaK1hobGwkh8h8GxuPx4uLiKIpatGhRQ0ODtL0r+1dZXzF1ztamhISEHTt2ZGZm2traShtfvHgRFhb2xRdfTJ48WSAQ2NnZxcbGPn/+nLkEQEpPT4/8tcsA2oWiFwAAoLcoKCjw8PAwNze/fv16VVVVWFiYbO+nn37K4/EOHDjw4MEDkUhkY2PDtJuamhJC9uzZI3up2LVr15SbzdDQkBDS6ld4ZWWllZVV1weXv+LyrVy5srKyMi4uTvqw2c6N1q0r2LOIxWL1XHGmjmr3pP2YMWMCAgJyc3O3bt0qbezK/lXiV0yds7Wyd+/e+Pj4ixcv9uvXT7Y9NzdXIpHINopEImNj45ycHNnZmpqayF+7DKBdOmwHAAAAABXJzs4Wi8XLli1jnoMqfSMIw8jIaP78+QkJCUKh8PPPP5e2Mw9DzsrK6tZsQ4YM0dfXv3nzprTl+vXrTU1Nw4cP7/rg8ldcjtOnTx86dGjr1q1vvfUW07J69eqJEyd2YrRuXcGeJTMzk6bp0aNHM5M6OjpqchV33759KYpS5G23W7duPXXq1O3bt62trZmWruxf5X7F1Dkbg6bpdevWVVRUpKSk6Oi0LkaYUvzFixfSlpqampcvXzIvLpJidpOZmZkSg4EGw5leAACA3oL5EXz+/PnGxsbc3NzX7+hbunTpq1evTp065e7uLm3k8XgLFy48cuRITExMdXW1RCIpKiqS/UmqFDweLzAw8Pjx4/Hx8dXV1dnZ2UuXLrWwsPD19e364O2ueJuqq6uXLFni6uq6bt06QkhjY+PNmzezsrLkjGZsbPz8+fMnT57U1NS0KuS6dQXVX0tLS0VFRXNz8927d/39/a2trT/99FOmy9HR8eXLlykpKWKxuLS0VPZ1rOS1TZqent59ryzi8/n29vZFRUXtzslcSCz7ptmu7F85XzFvb28zM7Nbt24pvhbqnI1x7969nTt3xsbGcjgc2feB7dq1ixBiZ2c3adKk2NjYy5cvNzQ0FBYWMjmlN1wwmN00dOjQjn469FLd/aQsAAAA6A6KPJV09+7dzJkQgUAwZ84cmqbXrl1rbGxsaGjo5eXFvGTVwcFB+vIYmqb/9re/BQUFtRrn1atXa9eutba21tHRMTU1nTt3bk5OTlhYGHNtYf/+/Q8ePNhu4OjoaObZMwMGDMjPz9+/f79IJCKE2NjYPHz4kKbplpaW8PDwAQMGcDgcIyMjDw+PBw8eMMu+/lmRkZHMaLa2tr/88suOHTsMDAwIIWZmZocOHUpISGBW3MjI6MiRI29acX9/f9nts3fvXuaFsXw+f+bMmcxP8FamT58uZzPeunXLxsZGT09v3LhxGzdulB1N/gq2u3Hku3bt2tixYy0sLJiQ5ubmbm5uly5dandBulNPb261odoN7+vry+FwLC0tdXR0RCLR7Nmz8/PzpaOVl5dPmjSJx+PZ2dmtWLFi9erVhBBHR0fmsJTdpMXFxWlpaUKhUPqYccUp+BRfPz8/DodTX1/PTB4/ftzBwYEQYmJiwjwVWdbq1atlXwvUlf3b5leMpmkPDw9CSHBw8OtR1TkbLfeYzM7ObrMqCQ8PZ5YtKyvz9/d3dHTkcrn6+vpjx449ceJEq/FnzJhhaWnZ0tLS5qdL4enNwKBovNMZAACgB0pKSpo/f77S/z8+Y8aMb7/91s7OTrnDgtry8vIihCQnJ3ffRyxZsiQ5Obm8vLz7PqJdCn5f8vLynJyc4uLiFixYoJpg8rW0tEycOPHTTz9dtGgR21laYzFbeXm5lZVVaGio7OPl2tRN/05Cj4PLmwEAAHo76YW4d+/eZU64sZsHNI/iL4hil6OjY0hISEhISG1tLdtZiEQiSUlJqamp8fb2ZjtLa+xm27x5s6urq5+fn+o/GnooFL0AAAC93dq1a3Nzcx8+fLhw4ULZh752yP3796k3U8Nf7T0FNqyKBQUFeXl5eXt7K/JEq26VmZl57Nix9PR0+a8OZgWL2SIiIrKystLS0phXZAMoAk9vBgAA6O34fP7gwYMtLS2jo6OdnZ07N8jgwYNxDWF36Okbdv369XFxcU1NTXZ2duHh4Z6enmwnat+2bdvOnj37zTff7Nixg8UYU6ZMmTJlCosB5GArW2pq6qtXrzIzM2Wf1AXQLtzTCwAA0CPhXjVQChXc06sO8H3pnbDfgYHLmwEAAAAAAEBjoegFAAAAAAAAjYWiFwAAAAAAADQWil4AAAAAAADQWCh6AQAAAAAAQGPhlUUAAAA9GEVRbEcATdBLDqRespoA0AqKXgAAgB4sMTGR7QjQs+3Zs4cQ8tVXX7EdpHtdu3YtMjIS35fehtnvbKcA9qHoBQAA6MHmzZvHdgTo2Zg39PaGAykyMrI3rCa0gqIXCO7pBQAAAAAAAA2GohcAAAAAAAA0FopeAAAAAAAA0FgoegEAAAAAAEBjoegFAAAAAAAAjYWiFwAAoJc6duyYvb09RVEURZmbmy9YsIDdDB9//LFs19SpU4VCoba29ltvvXXr1i3VZyOE7Nq1q2/fvhRFff/990xLWlqagYHBzz//rJTxlTsaKNH58+eDgoLU+fhU52xSLS0te/bscXNza9UeEhLi7OwsEom4XK6jo+OaNWtqa2tlZzh8+PDIkSOFQqGNjc3ChQuLi4uZ9pMnT4aFhUkkEhWtAGgKFL0AAAC91Ny5cx89euTg4GBgYFBcXBwfH89ihj59+sTHx58+fVradfbs2eTkZHd395ycnGHDhqk+GyFk1apVV69elW2haVqJ4yt3NFCWr7/+Oioqav369ep8fKpzNkZubu4777wTEBBQX1/fquvixYvLly9/8uRJWVnZ9u3bIyMjvby8pL2JiYk+Pj5eXl5FRUWpqamXL1+eNm1ac3MzIWTmzJk8Hm/KlCmVlZUqXRno4VD0AgAAAPuioqK0tLR8fX2rqqrYziLPjBkzqqqq3N3dO7d4Q0OD7FmvLo7WU7RaazUZ6k127NiRkJCQlJQkFAqljep8fKpntjt37qxbt27p0qWurq6v9+rr6/v6+hobGwuFwnnz5nl4eGRkZBQWFjK9+/bt69ev3+rVqw0MDFxdXQMCArKysq5fv870rly50sXFZfr06UwZDKAIFL0AAADAPjc3N39//2fPnq1atYrtLN3ohx9+KCkpYTuFqilxrbt7A+bl5W3atGnLli08Hk+2XZ2PT/XM5uLicuzYMR8fHy6X+3rvqVOntLW1pZMmJiaEEOkJ4cLCQgsLC4qimMn+/fsTQp4+fSqdf/PmzVlZWZGRkd2XHzQMil4AAACQ55dffnF2djYwMODxeEOHDj1z5gwhZPHixczNhA4ODrdv3yaELFy4kM/nGxgYnDx5khAikUiCg4Otra319PTefvvtxMREQsjOnTv5fL5QKCwpKQkMDLS0tHzw4IH0g0JDQwcOHHjgwIHz58+3mYSm6YiICCcnJy6Xa2RkNHv27Pv37zNdr4+8dOlSgUCgpaU1fPhwMzMzDocjEAiGDRs2fvz4/v3783g8Q0PDNWvWyF/NVq5cuWJtbU1R1LfffksIycvLo15z7ty5N43m7+8fGBiYn59PUZSjo2Or0eSvYExMjEAg4PP5qamp06ZNE4lEVlZWR44c6dq+7QA52fz8/HR1dc3NzZnJL7/8UiAQUBRVVlb2+lpHRUXxeLy+ffsuWbLEwsKCx+O5ublJT+J1aChCSEZGhkgk2rZtm7JWMyoqiqbpmTNnvt7VleOz3d3X5vdFceqcTRHPnj3T09Ozs7NjJu3t7WX/tMHc0Gtvby9tMTIymjBhQmRkJG4QAEXRAAAA0AMxPz27Pg5zT6+cGZKTkzdv3vzy5cvy8vLRo0f36dOHaZ87d662tvazZ8+kc3700UcnT55k/nvVqlVcLvfo0aMVFRXr16/X0tK6ceMGTdMbNmwghKxcuXLv3r1z5sz5448/mAyPHz+mafrq1ataWlq2tra1tbU0Taenp8+aNUs6fnBwsK6u7sGDBysrK+/evTts2DATE5Pi4mKm9/WRv/76a0LI9evX6+rqysrKPvjgA0LI6dOnS0tL6+rq/Pz8CCFZWVnyVzM3N5cQ8t133zGTzBWYe/fuZbrWrVtXV1dH0/SLFy+MjIzc3NwkEon8jebg4CBdI9nRFFzBCxcuVFVVlZSUjB8/XiAQNDU1Kbqn38DT09PT07Pd2eRn8/HxMTMzk84cHh5OCCktLW1zrX19fQUCwb179xobG3NycpjnFRUUFHRiqFOnTgmFwpCQkHbzK/h9sbe3d3Z2btWoxOPzTbvvTd+XdqlzNsaoUaNcXFzkzFBXVycUCv38/KQtmZmZHA4nKiqqurr6999/d3Jyev/991stFRQURAi5ffu2/E9X1r+T0NPhIAAAAOiRVFb0ytq+fTshpKSkhKZp5pxSaGgo01VVVTVgwIDm5maaphsaGvh8vre3N9NVX1/P5XKXLVtG//XzuqGhoVWG/9fe/cdS9f9xAH/fzeW6JCwhwvW70qbFFvoD9VemfdTM/aM/0Aotsswkan61iKVN+oPGEssotIW1pd3UZkpm7rT8XMXIRLjy6+ae7x/v7+d8z/fSdbm4rp6P/7yd+z6v1z3vo/PqnPN+0wt3hmESEhIIIZcvX2b+/8J9dnbW2NiY7ZNhmPfv3xNC2IJnec+06JXJZPTHR48eEUKkUin345WVlarTVFH0coWEhAgEgs+fP6vuTUXRu9YECwsLCSF9fX3L97gm6hS9q8a21qKXO+Q+fPhACElPT19HV+pT53yZmZnh8XjBwcFK7ZsxPrmHT8X5sqrtHBu1atGbkpLi6uo6PT3NbUxNTWVv0dna2g4ODip9qqSkhBBSVlameu8oeoHC480AAACgLj6fTwih64UEBga6urqWlJQwDEMIqaysFIvF9D297u7u2dlZDw8P+ilDQ0MrKyv2cUrVsrKy3NzcCgsL3717x23v6uqamZnx8vJiW7y9vfX19dknY1elr69PCGEnv6G5yOVy1Wmqo6qqqra2Nj093c3Nbd29rTVBms6K8W84zb98Fby8vIRCoZrDY1PR/5gQCoUqttmo8ck9fJqcL7oS25/U1NRUVVW9fPmSO21YSkpKUVFRU1PTzMzMwMCAr6+vj48PO80VRQ/T6OjoRkUCOxuKXgAAAFClvr7e39/fwsLCwMCA+xIsj8eLjo4eGBhoamoihJSVlZ0/f57+6tevX4SQ1NRU9k3Xr1+/Ll+2ZEUCgaC0tJTH40VGRs7NzbHtdIUSY2Nj7sampqYymUzjFAn5c5qrGh8fj42N9fb2pvfZ1t3bZieoic2OzcDAYGxsbEO60sT8/DwNRsU2mzE+NTlfdCW2FVVWVmZnZ0skEgcHB7ZxZGQkJyfn4sWLgYGBRkZGIpGouLh4eHiY3vNnGRoakn8PGcCqUPQCAACAsubm5vz8fELIt2/fQkJCrKysWltbp6amcnJyuJuFh4cLBIKHDx92d3ebmJjY29vTdgsLC0JIfn4+9+mylpYWNffu4+Nz9erV3t7ezMxMttHU1JQQonSZPjk5aWtrq0Gi/6U6TdWuXLkyOTlZWlrKzka7vt42NUENbWpscrl8m6RJ66hV78lv+PjU8HzRldiUFBQUlJeXv379et++fdz23t7epaUlbqOJiYm5uXlXVxd3s8XFRfLvIQNYFYpeAAAAUPbx40cjIyNCiFQqlcvlly5dcnR0FAgE7CIilJmZWVhYWF1dXV5e3oULF9h2Oj1yR0fHugPIzMx0d3en80JTHh4exsbGbW1tbEtra+vi4uLRo0fXvReW6jRVqK+vr6iouHHjxqFDh2hLYmLi+nrb1AQ1tGpsenp6637QWiKRMAxz7NgxzbvS0N69e3k8njqr3W7s+NT8fNGV2CiGYZKSkqRSaV1dndL9Z0IILcVHRkbYFplMNjExQRcuYtHDZGlpuYGBwQ6GohcAAAD+Ry6Xj46OSiQSWvTa2dkRQl69ejU/P9/b27v8JcCYmJiFhYUXL14EBwezjQKBICIi4smTJw8ePJienl5aWhoaGuJexa6KPqjJXclTIBAkJCTU1NSUl5dPT09LpdKYmBhra+uoqCiNEiaEqJHmiqanp6Ojoz09Pa9du0YImZ+fb2tr6+joUNGbubn58PDwly9fZDKZUmm3qQlqaNXYnJ2dJyYm6urq5HL52NgYd0lVslLWCoXi58+fv3//7uzsjI+Pt7OzCw8PX0dXjY2NG7hkkVAodHR0HBoaUucL2cDxqeJ8EYvFlpaW7e3t6mexnWOjPn36dOfOneLiYj6fz13uKy8vjxAiEokCAgKKi4ubm5vn5uYGBwdpnOzbExQ9TIcPH17r3uEvtdkzZQEAAMBm0HxW0pqaGicnpz9dIdTU1NDNkpKSzM3NTU1NQ0ND6YqyTk5O7AIzDMMcOXIkOTlZqfOFhYWkpCQ7Ozs9PT0LC4uzZ892dXXl5OTQxxH379//+PFjbgx79uyhs85yJSYmcpddUSgUubm5Li4ufD7fzMwsJCSku7ub/mp5z/fu3aNT3Tg4OLx9+zY7O3v37t2EEEtLy4qKisrKSnqPyMzM7MmTJ39KMz4+nm5mZGR05syZgoICuoSsUCg8ffo0vUZXcurUKRVfWnt7u729vaGh4fHjx1NTU7m9qU6wsLCQpuPi4tLf319UVGRiYkIIsbe37+np0WQYqLlkkYrYGIYZHx8PCAgQCAQikSg2NjYxMZEQ4uzsTMcJN+vv379HRUXx+XwbGxs9PT0TE5N//vmnv79/fV01NDTs2rWLnUJcBTXPl7i4OD6fPzs7S3/cqPG56uFb8XxhGCYkJIQQcvPmzeWhbufYGIZpaWnx8/Oztram54WVlZWvr++bN28YhpFKpSv+zcnNzaWf/fHjR3x8vLOzs4GBgbGxsZ+fX21trVL/QUFBNjY2CoVixb2zMHszUDwGazoDAADooKqqqrCwsO3w73hQUND9+/dFIpG2A4H1CA0NJYRUV1dv2R6jo6Orq6vHx8e3bI9E7fOlr6/vwIEDpaWl586d25rAVFMoFP7+/uHh4ZGRkdqORZkWYxsfH7e1tc3KyuLOHrei7fN3ErQLjzcDAADAmrGP5nZ2dtKbctqNB3SL+stBbTFnZ+eMjIyMjIyZmRltx0KWlpbq6upkMplYLNZ2LMq0G1taWpqnp2dcXNzW7xp0FIpeAAAAWLOkpKTe3t6enp6IiAjuPLEAui45OTk0NFQsFqszo9Wmkkgkz549a2xsVL10sFZoMba7d+92dHQ0NDTQFbAB1IGiFwAAANZMKBS6u7ufPHkyLS3t4MGD2g4HdMb169dLS0unpqZEItHTp0+1Hc7Kbt26FRcXd/v2be2GceLEiYqKCvri93ajrdieP3++sLAgkUjMzMy2eNeg0/BOLwAAgE7Cu2qwIbb+nV6twPnyd8JxBwp3egEAAAAAAGDHQtELAAAAAAAAOxaKXgAAAAAAANixUPQCAAAAAADAjqWn7QAAAABg/aqqqrQdAui2oaEh8hcMpJaWFvIXpAlK6HEHwOzNAAAAOonOSqrtKAAAtjvUO4CiFwAAAAAAAHYsvNMLAAAAAAAAOxaKXgAAAAAAANixUPQCAAAAAADAjoWiFwAAAAAAAHas/wBxfg6Il/8dYwAAAABJRU5ErkJggg==\n",
            "text/plain": [
              "<IPython.core.display.Image object>"
            ]
          },
          "metadata": {},
          "execution_count": 33
        }
      ],
      "source": [
        "sample_encoder_layer = encoder_layer(\n",
        "    units=512, d_model=128, num_heads=4, dropout=0.3, name=\"sample_encoder_layer\"\n",
        ")\n",
        "\n",
        "tf.keras.utils.plot_model(\n",
        "    sample_encoder_layer, to_file=\"encoder_layer.png\", show_shapes=True\n",
        ")"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "9r8lWGClfi_1",
        "pycharm": {
          "name": "#%% md\n"
        }
      },
      "source": [
        "### Encoder\n",
        "\n",
        "The Encoder consists of:\n",
        "1.   Input Embedding\n",
        "2.   Positional Encoding\n",
        "3.   `num_layers` encoder layers\n",
        "\n",
        "The input is put through an embedding which is summed with the positional encoding. The output of this summation is the input to the encoder layers. The output of the encoder is the input to the decoder."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 34,
      "metadata": {
        "id": "LRfugon5Wy-Y",
        "pycharm": {
          "name": "#%%\n"
        }
      },
      "outputs": [],
      "source": [
        "def encoder(vocab_size, num_layers, units, d_model, num_heads, dropout, name=\"encoder\"):\n",
        "    inputs = tf.keras.Input(shape=(None,), name=\"inputs\")\n",
        "    padding_mask = tf.keras.Input(shape=(1, 1, None), name=\"padding_mask\")\n",
        "\n",
        "    embeddings = tf.keras.layers.Embedding(vocab_size, d_model)(inputs)\n",
        "    embeddings *= tf.keras.layers.Lambda(\n",
        "        lambda d_model: tf.math.sqrt(tf.cast(d_model, tf.float32))\n",
        "    )(d_model)\n",
        "    embeddings = PositionalEncoding(vocab_size, d_model)(embeddings)\n",
        "\n",
        "    outputs = tf.keras.layers.Dropout(rate=dropout)(embeddings)\n",
        "\n",
        "    for i in range(num_layers):\n",
        "        outputs = encoder_layer(\n",
        "            units=units,\n",
        "            d_model=d_model,\n",
        "            num_heads=num_heads,\n",
        "            dropout=dropout,\n",
        "            name=\"encoder_layer_{}\".format(i),\n",
        "        )([outputs, padding_mask])\n",
        "\n",
        "    return tf.keras.Model(inputs=[inputs, padding_mask], outputs=outputs, name=name)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 35,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 754
        },
        "id": "bNxCnjrvglnx",
        "outputId": "9de998ff-4556-4a3d-b6b7-6dfdb05954cf",
        "pycharm": {
          "name": "#%%\n"
        }
      },
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<IPython.core.display.Image object>"
            ]
          },
          "metadata": {},
          "execution_count": 35
        }
      ],
      "source": [
        "sample_encoder = encoder(\n",
        "    vocab_size=8192,\n",
        "    num_layers=2,\n",
        "    units=512,\n",
        "    d_model=128,\n",
        "    num_heads=4,\n",
        "    dropout=0.3,\n",
        "    name=\"sample_encoder\",\n",
        ")\n",
        "\n",
        "tf.keras.utils.plot_model(sample_encoder, to_file=\"encoder.png\", show_shapes=True)"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "af66azvgW9P-",
        "pycharm": {
          "name": "#%% md\n"
        }
      },
      "source": [
        "### Decoder Layer\n",
        "\n",
        "Each decoder layer consists of sublayers:\n",
        "\n",
        "1.   Masked multi-head attention (with look ahead mask and padding mask)\n",
        "2.   Multi-head attention (with padding mask). `value` and `key` receive the *encoder output* as inputs. `query` receives the *output from the masked multi-head attention sublayer.*\n",
        "3.   2 dense layers followed by dropout\n",
        "\n",
        "Each of these sublayers has a residual connection around it followed by a layer normalization. The output of each sublayer is `LayerNorm(x + Sublayer(x))`. The normalization is done on the `d_model` (last) axis.\n",
        "\n",
        "As `query` receives the output from decoder's first attention block, and `key` receives the encoder output, the attention weights represent the importance given to the decoder's input based on the encoder's output. In other words, the decoder predicts the next word by looking at the encoder output and self-attending to its own output. See the demonstration above in the scaled dot product attention section."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 36,
      "metadata": {
        "id": "6mLvvNMWgDnf",
        "pycharm": {
          "name": "#%%\n"
        }
      },
      "outputs": [],
      "source": [
        "def decoder_layer(units, d_model, num_heads, dropout, name=\"decoder_layer\"):\n",
        "    inputs = tf.keras.Input(shape=(None, d_model), name=\"inputs\")\n",
        "    enc_outputs = tf.keras.Input(shape=(None, d_model), name=\"encoder_outputs\")\n",
        "    look_ahead_mask = tf.keras.Input(shape=(1, None, None), name=\"look_ahead_mask\")\n",
        "    padding_mask = tf.keras.Input(shape=(1, 1, None), name=\"padding_mask\")\n",
        "\n",
        "    attention1 = MultiHeadAttentionLayer(d_model, num_heads, name=\"attention_1\")(\n",
        "        inputs={\n",
        "            \"query\": inputs,\n",
        "            \"key\": inputs,\n",
        "            \"value\": inputs,\n",
        "            \"mask\": look_ahead_mask,\n",
        "        }\n",
        "    )\n",
        "    add_attention = tf.keras.layers.add([attention1, inputs])\n",
        "    attention1 = tf.keras.layers.LayerNormalization(epsilon=1e-6)(add_attention)\n",
        "\n",
        "    attention2 = MultiHeadAttentionLayer(d_model, num_heads, name=\"attention_2\")(\n",
        "        inputs={\n",
        "            \"query\": attention1,\n",
        "            \"key\": enc_outputs,\n",
        "            \"value\": enc_outputs,\n",
        "            \"mask\": padding_mask,\n",
        "        }\n",
        "    )\n",
        "    attention2 = tf.keras.layers.Dropout(rate=dropout)(attention2)\n",
        "    add_attention = tf.keras.layers.add([attention2, attention1])\n",
        "    attention2 = tf.keras.layers.LayerNormalization(epsilon=1e-6)(add_attention)\n",
        "\n",
        "    outputs = tf.keras.layers.Dense(units=units, activation=\"relu\")(attention2)\n",
        "    outputs = tf.keras.layers.Dense(units=d_model)(outputs)\n",
        "    outputs = tf.keras.layers.Dropout(rate=dropout)(outputs)\n",
        "    add_attention = tf.keras.layers.add([outputs, attention2])\n",
        "    outputs = tf.keras.layers.LayerNormalization(epsilon=1e-6)(add_attention)\n",
        "\n",
        "    return tf.keras.Model(\n",
        "        inputs=[inputs, enc_outputs, look_ahead_mask, padding_mask],\n",
        "        outputs=outputs,\n",
        "        name=name,\n",
        "    )"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 37,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 1000
        },
        "id": "8M1NrQ_NgEaM",
        "outputId": "2996beb7-8f51-43a7-abcf-1bd4bed431d0",
        "pycharm": {
          "name": "#%%\n"
        }
      },
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "image/png": 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J57Lox90Vdh0rYx93M3PmTC1fvlzJycmy2WwOx9zt589dxvPTTz9p7NixGjx4sFq2bHnbev7+/oqJiVFISIhsNpuee+459ejRQ1999ZXS09Pt9T788EPdd999GjVqlAIDA9WyZUsNHz5caWlp2rZtm73ekCFD1KJFCz377LP2JAQAALgzkg0AAABABREVFaWhQ4fq5MmTGjlypKvDqRQ++ugjnT171tVhVHrlcR1d/V4dPHhQkyZN0ltvvSWr1VrguLv9/LnLeFq0aKEVK1aoX79+8vb2vm291NRUValSxaGsevXqkuTwbYj09HSFhobKYrHYy+rVqydJOnbsmMP5U6ZMUVpamhITE50eBwAA9wKSDQAAALjnff/994qMjFRgYKCsVquaN2+ur7/+WpL08ssv29c/Dw8P144dOyRJAwcOlK+vrwIDA7VmzRpJUm5uriZPnqz69evLx8dHDz30kJKSkiRJ77zzjnx9fWWz2XT27FmNGDFCderU0f79+x1iiYuL0/33369FixZpw4YNd4zbGKNZs2apadOm8vb2VnBwsLp37659+/bZ69yu38GDB8vPz08eHh565JFHVKtWLXn9f/buPL7GO/////NElpNEIlFbbJFF7aVKEe1QWr4YW0WlU51iqmg1lGqoVlVjK4MPpR100g4GCRpVdGNCO9TUWMunaot9L7KS7f37o7/k00iQyHIl8bjfbuePXtf7ut7P93Xe5zTO65zr7eQkd3d3NW/eXI8//rhq1aolu90uLy8vvfHGG3m+Zrn5/vvvVbt2bdlsNn3wwQeSfvvwN/Pa3vr45ptv7trPyJEjNXr0aB09elQ2m02BgYG59pPXa7VgwQK5u7vLzc1Na9euVZcuXeTp6amaNWtq+fLld3wuiltexhMaGipnZ2dVq1Yta9srr7wid3d32Ww2Xb58WVLu13Hu3Lmy2+2qUqWKhg4dKh8fH9ntdgUFBWX79ndB+pCkL7/8Up6enpo8eXKRXi/pt2/6G2PUo0eP27Yp7NdffubUnd4/7lVZG09+nTlzRq6urvLz88va5u/vn6Polbleg7+/f7bt3t7eateunebMmcPt2QAAyAsDAAAAWGDlypWmKP8cDQgIMBUqVMhT26ioKDNx4kTz66+/mitXrpjWrVubBx54IGt/nz59TLly5cyZM2eyHfenP/3JfP7551n//frrrxsXFxezatUqc/XqVfPmm28aBwcH8+OPPxpjjBk/fryRZEaMGGHmzZtnnn76afO///u/WXmPHz9ujDFm27ZtxsHBwdSpU8ckJCQYY4zZuHGj6dmzZ7b+J0yYYJydnc2SJUvMtWvXzL59+0zz5s1NpUqVzPnz57Pa3a7fd955x0gyO3bsMImJieby5cvm//2//2ckmfXr15tLly6ZxMREExoaaiSZPXv25PmaHT582EgyH374Yda2U6dOGUlm3rx5WW3Gjh1rEhMTjTHGnDt3znh7e5ugoCCTnp6e5+cmICAg23W5tZ97uVabNm0y169fNxcvXjSPP/64cXd3NykpKaYoBAcHm+Dg4Hwdk9fxPPfcc6Zq1arZjp0xY4aRZC5dupS1LbfrOGTIEOPu7m4OHjxobty4YQ4cOGBatmxpPDw8zMmTJwuljy+++MJ4eHiYSZMm5Wv89/L+4e/vbxo2bJjrvuJ4/d1tTt3t/SM/ytp4MrVq1co0bdo0T20TExONh4eHCQ0NzbY9JibGODk5mblz55q4uDjz008/mQYNGpjOnTvnep5x48YZSWb37t15zlnU/38DAKCEiuSXDQAAALjvBQcH65133pG3t7cqVqyoHj166MqVK7p06ZIkadiwYUpPT1dERETWMXFxcfrxxx/VtWtXSdKNGze0YMEC9e7dW3369JGXl5feeustOTk5ZTtO+u2+8cOHD9fq1atVv379HHnatGmj1157TbGxsRo7dmyumZOTkzVr1iw9/fTT6t+/vypUqKAmTZroo48+0uXLl7Vw4cIcx9yu34YNG8rNzU0PPPCAnn32WUlS7dq1ValSJbm5ual///6SlO0bzne7ZnkRGBioqVOnys3NTZL08ssvKzk5WX//+9/l4OBQaP3cy7UKCgqSp6enKleurJCQECUmJurkyZN57rMo3ct47pWjo2PWN90bNmyoBQsWKD4+PsecvlfdunVTXFyc3n777UI53+0kJibq+PHjCggIuGvbonr93WlO5ef9I7/K2njyasqUKfLx8VF4eHi27e3atVNYWJhCQ0Pl6empxo0bKz4+XosXL871PHXr1pUk7d+/v8gzAwBQ2lFsAAAAAG7h5OQk6bfbgEhShw4d9OCDD+rvf/971q00VqxYoZCQkKx7hB86dEhJSUlq3Lhx1nlcXV1VrVq1bB/S51V4eLjq1aun+fPn6/vvv8+x/8CBA0pISFCLFi2ybW/ZsqWcnZ2z3eomP5ydnSUp24KomdcjNTX1tsfdes3yKzIyUp999pneffdd1atXr1D7Kei1yrwmdxp/cSqq5z4vWrRoITc3t3ua01a6ePGijDFZha27KerX361zqrDfP25V1sZzN2vWrFFkZKS++uqrHAuBjx8/XgsXLtSmTZuUkJCgY8eOKSgoSG3atMm2kHSmzDlz4cKFIs8NAEBpR7EBAAAA973169erffv2qly5slxcXHKsT2Cz2TR06FAdO3ZMmzZtkiT94x//0F/+8pesNomJiZKkt956K9vaAydOnMi2OGle2e12RUREyGazadCgQUpOTs62/9q1a5Kk8uXL5zjWy8tL8fHx+e4zP+52zfLjypUrevXVV9WyZUuNHj260Pux+loVNqvH4+Likq9flpQEN27ckKQ7LjD8e8X9+ivs949blbXx3MmKFSs0bdo0xcTEqE6dOtn2nTt3TtOnT9dLL72kDh06yN3dXX5+flq0aJHOnj2rGTNm5Difq6urpP+bQwAA4PYoNgAAAOC+s3XrVs2ePVuSdPLkSfXu3VvVqlXTjh07dP36dU2fPj3HMQMGDJDdbtfixYt16NAheXp6ytfXN2t/5cqVJUmzZ8+WMSbbY/v27feUs02bNho1apQOHz6s9957L9s+Ly8vScr1Q8Br166pZs2a99RnXuT1muXViBEjdO3aNUVERGT9UqQw+7HyWhUFK8eTmppaKq9Z5gfG+flFTHG+/ori/eNWZW08uZk3b56WLl2qzZs3q3r16jn2Hz58WOnp6Tn2eXp6qmLFijpw4ECOY1JSUiT93xwCAAC3R7EBAAAA953//ve/cnd3l/TbfbhTU1P18ssvy9/fX3a7XTabLccx3t7e6tevn6KjozVz5kwNHjw42/5atWrJbrdrz549hZr1vffeU/369bV79+5s2xs3bqzy5ctr586d2bbv2LFDKSkpeuSRRwo1x+/l9Zrlxfr167Vs2TK9/fbbatSoUdb2MWPGFFo/Vl6ropCf8Tg6Ohbq7Z9iYmJkjFHr1q2LrI+iUKVKFdlsNl2/fj1fxxXX66+o3j9uVdbGk8kYo7CwMO3fv1/R0dG5/kJDUlbR5Ny5c9m2x8fH69dff1WtWrVyHJM5Z6pWrVrIqQEAKHsoNgAAAOC+kZqaqgsXLigmJiar2FC7dm1J0rfffqsbN27o8OHDt70/+bBhw3Tz5k198cUX6t69e7Z9drtdAwcO1PLly7VgwQLFxcUpPT1dp0+fzvHBVn5k3v7k99/4z9w+evRorVmzRkuXLlVcXJz279+vYcOGycfHR0OGDLnnPu8mP9fsTuLi4jR06FA1a9Ysa+HaGzduaOfOndqzZ0+e+qlYsaLOnj2r2NhYxcfH5/qht5XXqijkZzyBgYH69ddfFR0drdTUVF26dEknTpzIcc7bXceMjAxdvXpVaWlp2rdvn0aOHKnatWtrwIABhdLHxo0b5enpqcmTJxf+hfodNzc3+fv76/Tp0/k6rrhef3l5/wgJCVHVqlW1a9eufJ27LI8n08GDB/X+++9r0aJFcnJyynbrJpvNppkzZ0qS/Pz89MQTT2jRokXaunWrkpOTderUqazx/f7WeJky50yTJk0KnBMAgDLPAAAAABZYuXKlKYo/R9esWWMCAgKMpDs+1qxZk3VMWFiYqVixovHy8jJ9+/Y1H3zwgZFkAgICzMmTJ7Od/+GHHzbjxo3Lte+bN2+asLAwU7t2bePo6GgqV65s+vTpYw4cOGCmT59uXF1djSRTq1Yts2TJkhx5K1WqZIYPH57ruceMGWN69uyZbVtGRoaZMWOGqVu3rnFycjLe3t6md+/e5tChQ1ltbtfvnDlzjJubm5Fk6tSpY7777jszbdo0U6FCBSPJVK1a1SxbtsysWLHCVK1a1Ugy3t7eZvny5Xe9ZiNHjsw6xt3d3Tz99NNm3rx5plq1akaScXNzMz169DAzZ8687fPTtWvXPD03u3btMr6+vsbV1dU89thj5q233srRT16v1fz587OuSd26dc3Ro0fNwoULjaenp5FkfH19zS+//HL3SZhPwcHBJjg4OF/H5GU8xhhz5coV88QTTxi73W78/PzMq6++asaMGWMkmcDAwKz5fet1PH/+vBkyZIhxcnIyNWrUMI6OjsbT09P06tXLHD16tND62LBhg/Hw8DDh4eH5Gv+9vH+EhoYaJycnk5SUlLWtqF9/+ZlTd3r/MMaY3r17G0lmwoQJtx1jWRuPMcZs377dtG3b1vj4+GS9P1SrVs0EBQWZLVu2GGOM2b9//x3f72fMmJF1vsuXL5uRI0eawMBA4+LiYsqXL2/atm1rPvvss1z779atm6lRo4bJyMi4Y87fK6r/vwEAUMJF2owxprALGAAAAMDdREZGql+/fiptf45269ZNH3zwgfz8/KyOgjKib9++kqSoqCiLk2Q3dOhQRUVF6cqVK1ZHyeFe3j+OHDmiBg0aKCIiQv379y/CdEUjIyND7du314ABAzRo0CCr4xRYaRjPlStXVLNmTYWHh+dYvP5OSuv/3wAAKKAobqMEAAAA3MHvb8uzb98+2e12Cg24b+RnQeWSLjAwUJMmTdKkSZOUkJBgdZx8SU9PV3R0tOLj4xUSEmJ1nAIrLeOZOHGimjVrptDQUKujAABQKlBsAAAAAO4gLCxMhw8f1i+//KKBAwfqvffeszoSgHs0btw49e3bVyEhIfleLNpKMTExWr16tTZu3Cg3Nzer4xRYaRjPrFmztGfPHm3YsEFOTk5WxwEAoFSg2AAAAADcgZubm+rXr68nn3xSEydOVMOGDa2OBBS5N998UxEREbp+/br8/Py0atUqqyMVmsmTJys0NFRTp061OkqedezYUcuWLVO1atWsjlIoSvp41q5dq5s3byomJkbe3t5WxwEAoNRgzQYAAABYgntaA78pqWs2lGS8f6AkY34CAO5TrNkAAAAAAAAAAAAKhmIDAAAAAAAAAAAoEIoNAAAAAAAAAACgQCg2AAAAAAAAAACAAnG0OgAAAADub5mL4wL3i5SUFDk5Oclms0mSfvjhB0m8FjKlp6fLwcEh6/rk5vTp05K4ZiiZMucnAAD3G5sxxlgdAgAAAPef7du3a9asWVbHAIpVamqqtmzZokqVKqlZs2ZWxymRfvjhBzk4OKhFixZycODH+Ci9oqKirI4AAEBxiqLYAAAAAADFICkpSV26dNHRo0f13Xffyc/Pz+pIJVJMTIx69Oihdu3aKTIyUq6urlZHAgAAwN1F8TURAAAAAChiKSkpCg4O1sGDB/X1119TaLiD9u3ba9OmTdq+fbu6dOmi+Ph4qyMBAAAgDyg2AAAAAEARSk9P1/PPP69///vf+vLLL9WwYUOrI5V4LVu21JYtW3T48GF16NBBV65csToSAAAA7oJiAwAAAAAUEWOMhg4dqnXr1mndunV65JFHrI5UajRq1Ej/+te/dPHiRXXo0EEXLlywOhIAAADugGIDAAAAABSRMWPG6NNPP9WqVav0hz/8weo4pc6DDz6o7777TsnJyRQcAAAASjiKDQAAAABQBCZMmKA5c+ZoyZIl6tq1q9VxSq3atWvru+++kzFG7du31/nz562OBAAAgFxQbAAAAACAQjZv3jyFh4frww8/VL9+/ayOU+pVrVpVX3/9tVJTU9WpUyddvnzZ6kgAAAC4BcUGAAAAAChEn376qUaMGKH3339fgwcPtjpOmVGzZk3961//UlJSkp588kkWjQYAAChhKDYAAAAAQCFZs2aNXnzxRb3zzjt6/fXXrY5T5tSqVUv/+te/FB8fT8EBAACghLEZY4zVIQAAAACgtPvmm2/UvXt3DR48WPPmzbM6Tpl2/PhxtW/fXlWrVtWmTZvk4eFhdSQAAID7XRS/bAAAAACAAtq2bZt69+6tfv366X/+53+sjlPm+fn5adOmTTp58qT69OmjlJQUqyMBAADc9yg2AAAAAEAB7N27V926ddNTTz2ljz/+WA4O/DOrOAQGBuqbb77Rjz/+qBdeeEEZGRlWRwIAALiv8VcwAAAAANyjX375RZ07d1aLFi20YsUKOTo6Wh3pvtKkSRN99tlnio6O1vDhw62OAwAAcF+j2AAAAAAA9+DkyZN66qmn5O/vr+joaLm4uFgd6b7Uvn17rVixQgsXLtSUKVOsjgMAAHDfotgAAAAAAPl08eJFderUSd7e3lq/fr3c3d2tjnRf69mzp+bPn6+33npLixcvtjoOAADAfYnf+AIAAABAPly7dk2dO3dWRkaGvvrqK3l7e1sdCZKGDBmis2fPatiwYfL19dVTTz1ldSQAAID7is0YY6wOAQAAAAClQXx8vDp27Kjz58/ru+++k6+vr9WR8DvGGD3//PPasGGDduzYobp161odCQAA4H4RRbEBAAAAAPIgOTlZXbt21cGDB7V161bVq1fP6kjIxY0bN9S+fXtdu3ZNP/zwg7y8vKyOBAAAcD+IYs0GAAAAALiL1NRUPfPMM9qzZ4+++uorCg0lmN1u12effabExET169dPaWlpVkcCAAC4L1BsAAAAAIA7yMjI0AsvvKDNmzfriy++ULNmzayOhLvw8fHR2rVr9f333yssLMzqOAAAAPcFig0AAAAAcBvGGL388stavXq11qxZo7Zt21odCXnUvHlzffrpp5o9e7YWLVpkdRwAAIAyj2IDAAAAANzG2LFjtXjxYv3zn/9U586drY6DfAoODta4ceP06quvavfu3VbHAQAAKNNYIBoAAAAAchEeHq4JEybo448/1sCBA62Og3uUkZGhzp07KzY2Vv/973/l6elpdSQAAICyiAWiAQAAANbKYY0AACAASURBVOBWCxYs0IQJE7RgwQIKDaWcg4ODli5dqoSEBA0ePNjqOAAAAGUWxQYAAAAA+J2lS5fq1Vdf1dSpUzV06FCr46AQVK1aVZ988olWrVqlv//971bHAQAAKJMoNgAAAADA/2/t2rUaOHCgxo4dq7CwMKvjoBB17txZY8aM0SuvvKJ9+/ZZHQcAAKDMYc0GAAAAAJC0adMm/fGPf9SgQYM0f/58q+OgCKSlpal9+/a6du2a/vOf/8jNzc3qSAAAAGUFazYAAAAAwI4dO9SrVy/16dNH8+bNszoOioijo6OWLVums2fP6o033rA6DgAAQJlCsQEAAADAfW3//v3q2rWrOnTooE8++UQODvwzqSzz9fXVvHnz9OGHH2rr1q1WxwEAACgzuI0SAAAAgPvWkSNH9Pjjj6thw4Zav3697Ha71ZFQTHr16qWDBw9q7969cnV1tToOAABAacdtlAAAAADcn06fPq2nnnpKvr6+io6OptBwn1mwYIEuXbqkiRMnWh0FAACgTKDYAAAAAOC+c+nSJT311FPy8PDQhg0b5OHhYXUkFLPq1atr+vTp+utf/6off/zR6jgAAAClHrdRAgAAAHBfuX79ujp06KC4uDht3bpVPj4+VkeCRYwx6ty5s86fP6+dO3fK2dnZ6kgAAAClFbdRAgAAAFD23O47VUlJSerevbsuXryob775hkLDfc5ms+nDDz/U0aNHNX36dKvjAAAAlGoUGwAAAACUKTExMfrzn/+stLS0bNtTUlIUHBysn3/+WV9//bXq1KljTUCUKAEBAZo4caKmTZum06dPWx0HAACg1KLYAAAAAKBMmTlzppYuXaq+ffsqJSVFkpSenq7+/ftr27Zt2rhxoxo0aGBxSpQkI0aMUPXq1TV+/HirowAAAJRaFBsAAAAAlBmHDx/Whg0bJElffPGFunbtqsTERA0ZMkTr16/XunXr9Mgjj1icEiWNs7OzpkyZoqVLl2rnzp1WxwEAACiVWCAaAAAAQJnxyiuvaNGiRUpNTZUkOTo6qnbt2jp9+rTWrVunTp06WZwQJdnjjz+ucuXKKSYmxuooAAAApU0UxQYAAAAAZcLVq1dVvXp13bhxI9t2Jycn1alTR99//72qVKliUTqUBjt27FCbNm302WefqWfPnlbHAQAAKE2iuI0SAAAAgDLho48+yrEotCSlpqYqNjZWbdq00alTpyxIhtKiVatWeuaZZ/TGG29k/ToGAAAAeUOxAQAAAECpl5qaqjlz5uRabMjcf/LkSbVu3VpHjhwp5nQoTaZOnaoTJ05o0aJFVkcBAAAoVSg2AAAAACj1IiMjdenSpTu2SUtL09mzZ9W3b1+lpKQUUzKUNn5+fnrppZc0bdo05gkAAEA+UGwAAAAAUOrNnDlTNpvttvsdHR3l4eGhd955R1u3bpWzs3MxpkNp88Ybb+jChQv69NNPrY4CAABQarBANAAAAIBSLSYmRk888USu+5ycnFSuXDmNGDFCY8eOlZeXVzGnQ2k1ZMgQffvttzp06JAcHR2tjgMAAFDSsUA0AAAAgNJt5syZcnJyyrbN2dlZjo6OGjhwoGJjYzVt2jQKDciXsLAwnThxQqtXr7Y6CgAAQKnALxsAAAAAlFqHDx9WvXr1lPnPGicnJ2VkZGjQoEGaOHGiqlevbnFClGZ9+vTRuXPntG3bNqujAAAAlHT8sgEAAABA6TV37lwZY+To6CgHBwf169dPR44c0cKFCyk0oMBGjhyp7du364cffrA6CgAAQInHLxsAAABKuNOnT/OtWiAXiYmJGjp0qFJSUtSqVSv169dPNWrUsDoWSoFnnnkmz21btGihevXqadmyZUWYCAAAoNSLotgAAABQwkVGRqpfv35WxwCAMiM//wz++OOP9fLLL+v06dOqXLlyEaYCAAAo1biNEgAAQGlhjOFRzI/g4GAFBwdbnqM0PVauXFls8/XYsWOWj5dH6Xpkzs/8ePbZZ+Xm5qZ//OMfhf22DgAAUKZQbAAAAABQKvn5+VkdAfcBNzc3Pfvss1q0aJGM4cYAAAAAt0OxAQAAAACAOxg6dKgOHTqkrVu3Wh0FAACgxKLYAAAAAADAHTz00EN69NFHtXDhQqujAAAAlFgUGwAAAAAAuIvBgwdr1apVunTpktVRAAAASiSKDQAAAAAA3MWzzz4ru92uJUuWWB0FAACgRKLYAAAAAADAXbi7u+u5557TwoULWSgaAAAgFxQbAAAA7gMvvviiPDw8ZLPZtGfPHqvj3JNJkyapYcOG8vT0lIuLiwIDA/XGG28oISEhR9vU1FRNmTJFgYGBcnZ2lpeXlxo3bqzY2NjiDy5pw4YNqlChgtatW2dJ/6XJt99+q3Hjxmn16tXy9/eXzWaTzWbT888/n6Ntp06d5OHhoXLlyqlRo0batWuXBYnzpqyN5/cyMjI0e/ZsBQUF5bo/P6/df/7zn2rZsqU8PDzk6+urgQMH6vz581n7P//8c02fPl3p6elFNp47YaFoAACA26PYAAAAcB9YvHixFi1aZHWMAtm8ebOGDx+u2NhYXb58WVOmTNGcOXPUt2/fHG379eunf/zjH1q2bJmSkpL0v//7vwoICMj1w83iwLeg8+add97R3Llz9eabb6pPnz46duyYAgIC9MADD2jp0qVav359tvZff/21oqKi1L17dx04cEDNmze3KPndlbXxZDp8+LD+8Ic/aNSoUUpKSsq1TV5fuytXrtRzzz2nvn376vTp01q7dq22bt2qLl26KC0tTZLUo0cP2e12dezYUdeuXSvy8d3qoYceUsuWLUv9+ykAAEBRoNgAAACAUqF8+fIaMmSIKlasKA8PDz3zzDPq3bu3vvzyS506dSqr3YoVKxQdHa2oqCi1atVKjo6O8vHx0dq1a9W4cWNLsnfr1k3Xr19X9+7dLen/95KTk2/7DXQrTZs2TStWrFBkZKQ8PDyy7Zs7d64cHBw0ZMgQXb9+3aKEhaesjGfv3r0aO3ashg0bpmbNmt22XV5fu3/7299UvXp1jRkzRhUqVFCzZs00atQo7dmzRzt27MhqN2LECDVt2lRdu3bNKkIUp5deeomFogEAAHJBsQEAAOA+YbPZrI5QIF988YXKlSuXbVulSpUkKds3qj/88EM1b95cTZo0KdZ8pcXHH3+sixcvWh0jmyNHjujtt9/Wu+++K7vdnmN/UFCQRo4cqTNnzuj111+3IGHhKivjadq0qVavXq3nnntOLi4ut22X19fuqVOn5OPjk+29qlatWpKkEydOZDt+4sSJ2rNnj+bMmVPgceTXs88+KxcXFxaKBgAAuAXFBgAAgDLIGKMZM2aoXr16cnFxUYUKFTRmzJgc7dLT0zVhwgTVrl1brq6ueuihh7Ry5UpJ0oIFC+Tu7i43NzetXbtWXbp0kaenp2rWrKnly5dnO8+WLVv06KOPys3NTZ6enmrSpIni4uLu2kdBnTlzRq6urvLz85MkpaSk6Icffrjjt6yL2/fff6/atWvLZrPpgw8+kJT3azt37lzZ7XZVqVJFQ4cOlY+Pj+x2u4KCgrJ90zs0NFTOzs6qVq1a1rZXXnlF7u7ustlsunz5siRp5MiRGj16tI4ePSqbzabAwEBJ0pdffilPT09Nnjy5OC5JDnPnzpUxRj169Lhtm/DwcD344INavHixvv322zuezxijWbNmqUGDBnJxcZG3t7d69eqln3/+OatNfuZ3Uczhsjae/Lr1tStJ/v7+OQphmes1+Pv7Z9vu7e2tdu3aac6cOcV+mzJ3d3f96U9/YqFoAACAWxkAAACUaCtXrjT5/bNt/Pjxxmazmb/+9a/m6tWrJikpycyfP99IMrt3785q9/rrrxsXFxezatUqc/XqVfPmm28aBwcH8+OPP2adR5LZtGmTuX79url48aJ5/PHHjbu7u0lJSTHGGJOQkGA8PT3N9OnTTXJysjl//rx5+umnzaVLl/LUx71KTEw0Hh4eJjQ0NGvb8ePHjSTTrFkz0759e1OtWjXj4uJi6tevbz744AOTkZGRrz6Cg4NNcHBwgXIaY8ypU6eMJDNv3rysbXm5tsYYM2TIEOPu7m4OHjxobty4YQ4cOGBatmxpPDw8zMmTJ7PaPffcc6Zq1arZ+p0xY4aRlPVcGGNMnz59TEBAQLZ2X3zxhfHw8DCTJk0q8FjvZb76+/ubhg0b5rovICDAHD9+3BhjzLZt24yDg4OpU6eOSUhIMMYYs3HjRtOzZ89sx0yYMME4OzubJUuWmGvXrpl9+/aZ5s2bm0qVKpnz589ntcvrc1CYc7isjSdTq1atTNOmTfPUNrfXrjHGxMTEGCcnJzN37lwTFxdnfvrpJ9OgQQPTuXPnXM8zbty4HO9pd3Mv8zM3e/fuNZLMli1bCnwuAACAMiKSXzYAAACUMcnJyZo9e7aefPJJjRo1Sl5eXnJ1dVXFihWztbtx44YWLFig3r17q0+fPvLy8tJbb70lJycnRUREZGsbFBQkT09PVa5cWSEhIUpMTNTJkyclSbGxsYqLi1OjRo1kt9tVtWpVrV69WpUqVcpXH/k1ZcoU+fj4KDw8PGtb5gLQlStX1uTJk3XgwAFduHBBvXr10vDhw/XPf/6zQH0WhTtd20yOjo5Z32pv2LChFixYoPj4+AJfw0zdunVTXFyc3n777UI5X34kJibq+PHjCggIuGvbNm3a6LXXXlNsbKzGjh2ba5vk5GTNmjVLTz/9tPr3768KFSqoSZMm+uijj3T58mUtXLgwxzF3eg6Kcg6XtfHkVW6vXUlq166dwsLCFBoaKk9PTzVu3Fjx8fFavHhxruepW7euJGn//v1FnvlWmQtF53b9AQAA7lcUGwAAAMqYI0eOKCkpSR07drxju0OHDikpKSnbosmurq6qVq1attuz3MrZ2VmSlJqaKum325tUqVJF/fv318SJExUbG1vgPu5mzZo1ioyM1FdffZVtMeHM+8Y3atRIQUFBqlixoipUqKB3331XFSpUKPEfDN56bW+nRYsWcnNzK9A1LCkuXrwoY4zc3Nzy1D48PFz16tXT/Pnz9f333+fYf+DAASUkJKhFixbZtrds2VLOzs7Zbj+Vm1ufg6Kaw5nK2nju5navXUkaP368Fi5cqE2bNikhIUHHjh1TUFCQ2rRpk20h6UyZc+bChQtFnjs3LBQNAACQHcUGAACAMub06dOSfvt2/50kJiZKkt566y3ZbLasx4kTJ7It2no3rq6u2rx5sx577DFNnjxZ/v7+CgkJUXJycqH18XsrVqzQtGnTFBMTozp16mTb5+PjI0lZaxRkcnZ2lq+vr44ePXpPfZZELi4uZeJDzhs3bkjSHRcY/j273a6IiAjZbDYNGjRIycnJ2fZfu3ZNklS+fPkcx3p5eSk+Pj5f+YpiDv9eWRvPndzptXvu3DlNnz5dL730kjp06CB3d3f5+flp0aJFOnv2rGbMmJHjfK6urpL+bw4Vt8yFopcuXWpJ/wAAACUNxQYAAIAyxm63S5Ju3rx5x3aZxYjZs2fLGJPtsX379nz12ahRI61bt05nz55VWFiYVq5cqZkzZxZqH5I0b948LV26VJs3b1b16tVz7C9fvrzq1q2rgwcP5tiXlpamChUq5LvPkig1NVXXrl1TzZo1rY5SYJkfGKenp+f5mDZt2mjUqFE6fPiw3nvvvWz7vLy8JCnXD+Hv5ZoV9hzOTVkbT27u9to9fPiw0tPTc+zz9PRUxYoVdeDAgRzHpKSkSPq/OVTcMheK/tvf/sZC0QAAAKLYAAAAUOY0btxYDg4O2rJlyx3b1apVS3a7XXv27ClQf2fPns36cL9y5cqaOnWqmjdvroMHDxZaH8YYhYWFaf/+/YqOjs71W96Z+vXrp927d+vYsWNZ25KSknTixAk1adKkQDlKipiYGBlj1Lp166xtjo6Od739UklUpUoV2Ww2Xb9+PV/Hvffee6pfv752796dbXvjxo1Vvnx57dy5M9v2HTt2KCUlRY888ki++imsOXw3ZW08mfL62s0smpw7dy7b9vj4eP3666+qVatWjmMy50zVqlULOXXeDR06VIcOHdJ3331nWQYAAICSgmIDAABAGVO5cmX16dNHq1at0scff6y4uDjt27cvx3oFdrtdAwcO1PLly7VgwQLFxcUpPT1dp0+fzvGB352cPXtWQ4cO1c8//6yUlBTt3r1bJ06cUOvWrQutj4MHD+r999/XokWL5OTklO32LzabTTNnzsxqO2rUKPn6+mrAgAE6efKkrly5orCwMCUnJ992Ed6SLiMjQ1evXlVaWpr27dunkSNHqnbt2howYEBWm8DAQP3666+Kjo5WamqqLl26pBMnTuQ4V8WKFXX27FnFxsYqPj5eqamp2rhxozw9PTV58uRiHNVv3Nzc5O/vn3X7r7zKvP1QuXLlcmwfPXq01qxZo6VLlyouLk779+/XsGHD5OPjoyFDhuS7n7vN4ZCQEFWtWlW7du3K17nL8ngy5fW16+fnpyeeeEKLFi3S1q1blZycrFOnTmWN7y9/+UuOc2fOGSuLiE2bNmWhaAAAgEwGAAAAJdrKlStNfv9si4+PNy+++KJ54IEHTPny5c1jjz1mJkyYYCSZmjVrmr179xpjjLl586YJCwsztWvXNo6OjqZy5cqmT58+5sCBA2b+/PnGzc3NSDJ169Y1R48eNQsXLjSenp5GkvH19TW//PKLiY2NNUFBQcbb29uUK1fOVK9e3YwfP96kpaXdtY+82r9/v5F028eMGTOytT916pR59tlnjbe3t3FxcTGPPvqo2bhxY76uoTHGBAcHm+Dg4Hwf93vz5s0z1apVM5KMm5ub6dGjR56vrTHGDBkyxDg5OZkaNWoYR0dH4+npaXr16mWOHj2arZ8rV66YJ554wtjtduPn52deffVVM2bMGCPJBAYGmpMnTxpjjNm1a5fx9fU1rq6u5rHHHjPnz583GzZsMB4eHiY8PLxAYzXm3uZraGiocXJyMklJSVnb1qxZYwICAowkU6lSJTN8+PBcjx0zZozp2bNntm0ZGRlmxowZpm7dusbJycl4e3ub3r17m0OHDmW1yc9zcLc53Lt3byPJTJgw4bZjLGvjMcaY7du3m7Zt2xofH5+s12K1atVMUFCQ2bJlizEmf6/dy5cvm5EjR5rAwEDj4uJiypcvb9q2bWs+++yzXPvv1q2bqVGjhsnIyLhjzt+7l/l5N4sWLTJ2u91cuXKlUM8LAABQykTajOHmkgAAACVZZGSk+vXrxz3BLdC3b19JUlRUlGUZhg4dqqioKF25csWyDPlxL/P1yJEjatCggSIiItS/f/8iTFc0MjIy1L59ew0YMECDBg2yOk6BlYbxXLlyRTVr1lR4eLhGjx6d5+OK4v00ISFBPj4+mjp1qoYPH15o5wUAAChloriNEgAAAFDC5Wfx5NIoMDBQkyZN0qRJk5SQkGB1nHxJT09XdHS04uPjFRISYnWcAist45k4caKaNWum0NBQq6OofPnyCg4OVkREhNVRAAAALEWxAQAAAJb4+eefc9y/PbdHSf7AE4Vn3Lhx6tu3r0JCQvK9WLSVYmJitHr1am3cuFFubm5Wxymw0jCeWbNmac+ePdqwYYOcnJysjiNJGjhwoHbt2qW9e/daHQUAAMAyFBsAAABgifr168sYc9fHihUrrI5qmTfffFMRERG6fv26/Pz8tGrVKqsjFanJkycrNDRUU6dOtTpKnnXs2FHLli1TtWrVrI5SKEr6eNauXaubN28qJiZG3t7eVsfJ8vjjjyswMFCffPKJ1VEAAAAsQ7EBAAAAKKGmTJmimzdvyhij48ePKzg42OpIRa5Tp06aNm2a1TFQQvXs2VPjxo1TuXLlrI6Sjc1m0wsvvKAlS5bo5s2bVscBAACwBMUGAAAAAAAKaMCAAbp27Zo2bNhgdRQAAABLUGwAAAAAAKCAatasqQ4dOrBQNAAAuG9RbAAAAAAAoBAMHDhQGzdu1Llz56yOAgAAUOwoNgAAAAAAUAh69+4tDw8PLVu2zOooAAAAxc7R6gAAAADIm759+1od4b7zww8/SOLa58fp06clcc1QMmXOz6Jit9sVEhKiiIgIvf7660XaFwAAQEnDLxsAAAAAACgkL7zwgg4ePKidO3daHQUAAKBY8csGAACAUiIqKsrqCPedzG/nc+3zLjIyUv369eOaoUTKnJ9FqVWrVqpXr56WLl2qFi1aFGlfAAAAJQm/bAAAAAAAoBA999xzWr58uVJTU62OAgAAUGwoNgAAAAAAUIj+/Oc/69KlS/rmm2+sjgIAAFBsKDYAAAAAAFCIfH191bZtWy1ZssTqKAAAAMWGYgMAAAAAAIXs+eefV3R0tK5fv251FAAAgGJBsQEAAAAAgELWr18/2Ww2rVmzxuooAAAAxYJiAwAAALR69Wr5+/vLZrNlezg7O6tKlSpq3769ZsyYoatXr1odFWXct99+q3HjxuWYk88//3yOtp06dZKHh4fKlSunRo0aadeuXRYkzpuyNh5JCg8Pz/GeYbPZ1Lhx41zbZ2RkaPbs2QoKCsp1/6RJk9SwYUN5enrKxcVFgYGBeuONN5SQkJDV5vPPP9f06dOVnp5eJGMqTBUqVFDXrl25lRIAALhvUGwAAACA+vTpo2PHjikgIEAVKlSQMUYZGRm6ePGiIiMj5efnp7CwMDVq1Eg7d+60Oi7KqHfeeUdz587Vm2++mW1OPvDAA1q6dKnWr1+frf3XX3+tqKgode/eXQcOHFDz5s0tSn53ZW08+XX48GH94Q9/0KhRo5SUlJRrm82bN2v48OGKjY3V5cuXNWXKFM2ZM0d9+/bNatOjRw/Z7XZ17NhR165dK6749+z5559XTEyMYmNjrY4CAABQ5Cg2AAAAIFc2m01eXl5q3769IiIiFBkZqQsXLqhbt27cg7wYJScn3/ab4KWpj7uZNm2aVqxYocjISHl4eGTbN3fuXDk4OGjIkCFlYu6VpfEsWbJExphsj59++ilbm71792rs2LEaNmyYmjVrdttzlS9fXkOGDFHFihXl4eGhZ555Rr1799aXX36pU6dOZbUbMWKEmjZtqq5duyotLa3IxlYYunTpoooVK2rFihVWRwEAAChyFBsAAACQJ8HBwRowYIAuXryojz76yOo4942PP/5YFy9eLPV93MmRI0f09ttv691335Xdbs+xPygoSCNHjtSZM2f0+uuvW5CwcJW18dxN06ZNtXr1aj333HNycXG5bbsvvvhC5cqVy7atUqVKkpTj1xATJ07Unj17NGfOnMIPXIicnZ0VHBxMsQEAANwXKDYAAAAgzwYMGCBJ2rhxY9a29PR0TZgwQbVr15arq6seeughrVy5UpK0YMECubu7y83NTWvXrlWXLl3k6empmjVravny5dnOvWXLFj366KNyc3OTp6enmjRpori4uLv2UdIYYzRr1iw1aNBALi4u8vb2Vq9evfTzzz9ntQkNDZWzs7OqVauWte2VV16Ru7u7bDabLl++LEkaOXKkRo8eraNHj8pmsykwMFBz586V3W5XlSpVNHToUPn4+MhutysoKEg7duwolD4k6csvv5Snp6cmT55cpNdL+u2b/sYY9ejR47ZtwsPD9eCDD2rx4sX69ttv73i+vDwH+ZmbRTH/ytp4isqZM2fk6uoqPz+/bNu9vb3Vrl07zZkzR8YYi9LlTUhIiPbu3auDBw9aHQUAAKBIUWwAAABAnmXeAuXYsWNZ28aOHav3339fs2fP1rlz59S9e3f96U9/0s6dO/Xyyy/rtddeU3Jysjw8PLRy5UodPXpU/v7+Gjx4sFJTUyVJiYmJ6tGjh4KDg/Xrr7/q8OHDevDBB5WSknLXPkqaiRMnaty4cRo/frwuXryorVu36tSpU3r88cd14cIFSb99uP7MM89kO27+/Pl69913s22bM2eOunfvroCAABljdOTIEYWGhmrAgAFKSkrSiBEjFBsbq127diktLU1PPfVU1u1mCtKHpKwFeDMyMgrv4tzG+vXrVa9ePbm5ud22jaurqz755BM5ODho8ODBSkxMvG3bvDwHeZ2bUtHMv7IynnHjxsnb21vOzs7y8/NTr1699OOPP+b/guQiKSlJmzdv1uDBg+Xs7Jxj/8MPP6wzZ85o7969hdJfUfnDH/6gGjVqKDIy0uooAAAARYpiAwAAAPLMw8NDNptN8fHxkqQbN25owYIF6t27t/r06SMvLy+99dZbcnJyUkRERLZjg4KC5OnpqcqVKyskJESJiYk6efKkJCk2NlZxcXFq1KiR7Ha7qlatqtWrV6tSpUr56sNqycnJmjVrlp5++mn1799fFSpUUJMmTfTRRx/p8uXLWrhwYaH15ejomPVN94YNG2rBggWKj48vtGvSrVs3xcXF6e233y6U891OYmKijh8/roCAgLu2bdOmjV577TXFxsZq7Nixuba5l+fgTnOzKOdfaR/PCy+8oM8//1ynTp1SQkKCli9frpMnT6pdu3Y6cOBA/i/ILaZMmSIfHx+Fh4fnur9u3bqSpP379xe4r6Lk4OCgvn37atmyZVZHAQAAKFIUGwAAAJBniYmJMsbI09NTknTo0CElJSWpcePGWW1cXV1VrVq1bLd4uVXmt5Qzv23t7++vKlWqqH///po4caJiY2Oz2t5rH1Y4cOCAEhIS1KJFi2zbW7ZsKWdn52y3OSpsLVq0kJubW4m7Jndz8eJFGWPu+KuG3wsPD1e9evU0f/58ff/99zn2F/Q5uHVuFvX8K83jqVWrlh5++GGVL19ezs7Oat26tSIiIpScnKz58+fn61y3WrNmjSIjI/XVV1/lWDA8U+acyfx1R0nWr18/HTlyRLt27bI6CgAAQJGh2AAAAIA8++WXXyRJ9evXl6SsW7+89dZbstlsWY8TJ07kWND1TlxdXbV582Y99thjmjx5svz9/RUSEqLkJd7NHwAAIABJREFU5ORC66M4XLt2TZJUvnz5HPu8vLyyfhFSVFxcXHTp0qUi7aOw3bhxQ5LuuHDw79ntdkVERMhms2nQoEFKTk7Otr+wn4Oinn9lbTxNmjRRuXLlst4r7sWKFSs0bdo0xcTEqE6dOrdt5+rqKun/5lBJ1rp1awUGBpbYtTEAAAAKA8UGAAAA5NmXX34pSerSpYskqXLlypKk2bNnyxiT7bF9+/Z8nbtRo0Zat26dzp49q7CwMK1cuVIzZ84s1D6KmpeXlyTl+gHwtWvXVLNmzSLrOzU1tcj7KAqZHxhnrhGRF23atNGoUaN0+PBhvffee9n2FfZzUBzzryyNJyMjQxkZGXkuHt1q3rx5Wrp0qTZv3qzq1avfsW3mmi6Zc6ik69u3r5YvX17iF7QGAAC4VxQbAAAAkCfnz5/X7NmzVbNmTQ0aNEjSb7dRsdvt2rNnT4HOffbsWR08eFDSbx+GTp06Vc2bN9fBgwcLrY/i0LhxY5UvXz7HQrs7duxQSkqKHnnkkaxtjo6O2RbtLaiYmBgZY9S6desi66MoVKlSRTabTdevX8/Xce+9957q16+v3bt3Z9uen+cgL4pr/pXG8XTu3DnHth9//FHGGLVp0yZf5zLGKCwsTPv371d0dHSuv+S4VeacqVq1ar76skq/fv106tSpElckBQAAKCwUGwAAAJCNMUYJCQnKyMiQMUaXLl3SypUr1bZtW5UrV07R0dFZazbY7XYNHDhQy5cv14IFCxQXF6f09HSdPn1a586dy3OfZ8+e1dChQ/Xzzz8rJSVFu3fv1okTJ9S6detC66M42O12jR49WmvWrNHSpUsVFxen/fv3a9iwYfLx8dGQIUOy2gYGBurXX39VdHS0UlNTdenSJZ04cSLHOStWrKizZ88qNjZW8fHxWcWDjIwMXb16VWlpadq3b59Gjhyp2rVra8CAAYXSx8aNG+Xp6anJkycX/oX6HTc3N/n7++v06dP5Oi7z9kPlypXLsT2vz0Fe+7nb/AsJCVHVqlULdD/+0jieM2fOaMWKFbp27ZpSU1O1fft2vfjii6pdu7aGDRuWr1wHDx7U+++/r0WLFsnJySnbLZ5sNptmzpyZ45jMOdOkSZN89WWVpk2bqkGDBlqxYoXVUQAAAIqGAQAAQIm2cuVKU9R/tn3++efmoYceMm5ubsbZ2dk4ODgYScZmsxkvLy/z6KOPmkmTJpkrV67kOPbmzZsmLCzM1K5d2zg6OprKlSubPn36mAMHDpj58+cbNzc3I8nUrVvXHD161CxcuNB4enoaScbX19f88ssvJjY21gQFBRlvb29Trlw5U716dTN+/HiTlpZ21z6KUnBwsAkODs7XMRkZGWbGjBmmbt26xsnJyXh7e5vevXubQ4cOZWt35coV88QTTxi73W78/PzMq6++asaMGWMkmcDAQHPy5EljjDG7du0yvr6+xtXV1Tz22GPm/PnzZsiQIcbJycnUqFHDODo6Gk9PT9OrVy9z9OjRQutjw4YNxsPDw4SHh+dr/PcyX0NDQ42Tk5NJSkrK2rZmzRoTEBBgJJlKlSqZ4cOH53rsmDFjTM+ePbNty8tzkNe5aczd51/v3r2NJDNhwoTbjrGsjccYY0aPHm0CAgKMu7u7cXR0NDVr1jSDBw82Z8+ezdZu+/btpm3btsbHx8dIMpJMtWrVTFBQkNmyZYsxxpj9+/dn7cvtMWPGjBz9d+vWzdSoUcNkZGTcMefvFcf76Z1MnDjRVK9e3aSnp1uWAQAAoIhE2ozhhpEAAAAlWWRkpPr168d9vi3Qt29fSVJUVJTFSbIbOnSooqKidOXKFauj5HAv8/XIkSNq0KCBIiIi1L9//yJMVzQyMjLUvn17DRgwIOsWY6VZaRjPlStXVLNmTYWHh2v06NF5Ps7q99OffvpJTZo00b///W8FBQVZkgEAAKCIRHEbJQAAAKAUys+CyiVdYGCgJk2apEmTJikhIcHqOPmSnp6u6OhoxcfHKyQkxOo4BVZaxjNx4kQ1a9ZMoaGhVkfJl8aNG6t+/fpavXq11VEAAAAKHcUGAAAAAJYbN26c+vbtq5CQkHwvFm2lmJgYrV69Whs3bpSbm5vVcQqsNIxn1qxZ2rNnjzZs2CAnJyer4+Rb7969tWbNGn6tBgAAyhyKDQAAAEAp8uabbyoiIkLXr1+Xn5+fVq1aZXWkQjN58mSFhoZq6tSpVkfJs44dO2rZsmWqVq2a1VEKRUkfz9q1a3Xz5k3FxMTI29vb6jj3pE+fPoqNjS3QguIAAAAlkaPVAQAAAADk3ZQpUzRlyhSrYxSZTp06qVOnTlbHQAnVs2dP9ezZ0+oYBfLII4/I399fq1ev1iOPPGJ1HAAAgELDLxsAAAAAAChGvXr1KlO/SgIAAJAoNgAAAAAAUKz69Omjw4cP66effrI6CgAAQKGh2AAAAAAAQDFq06aNatasqdWrV1sdBQAAoNBQbAAAAAAAoBjZbDb17NlT0dHRVkcBAAAoNBQbAAAAAAAoZt27d9eePXsUGxtrdRQAAIBC4Wh1AAAAAOSNzWazOsJ9i2uff1wz4M7at28vDw8PbdiwQS+//LLVcQAAAArMZowxVocAAADA7Z0+fVrbtm2zOgZwR1OnTpWXl5eGDRtmdRTgrp555hmrI0iSgoODlZiYqI0bN1odBQAAoKCiKDYAAAAAKLBOnTrJ19dXixYtsjoKUGp8+umnGjJkiC5duiQPDw+r4wAAABREFGs2AAAAACiw9PR0lStXzuoYQKnyxz/+UWlpafrmm2+sjgIAAFBgFBsAAAAAFBjFBiD/HnjgAbVu3Vrr1q2zOgoAAECBUWwAAAAAUGAUG4B70717d61fv17p6elWRwEAACgQig0AAAAACiw9PV2Ojo5WxwBKne7du+vSpUvasWOH1VEAAAAKhGIDAAAAgAJLS0vjlw3APWjYsKH8/Py0YcMGq6MAAAAUCMUGAAAAAAXGbZSAe9e5c2d99dVXVscAAAAoEIoNAAAAAAqMYgNw7zp37qxdu3bp4sWLVkcBAAC4ZxQbAAAAABQYxQbg3nXs2FHlypXTpk2brI4CAABwzyg2AAAAACgwig3AvfPw8FCbNm24lRIAACjVKDYAAAAAKDCKDUDBZK7bYIyxOgoAAMA9odgAAAAAoMAoNgAF07lzZ50/f1779++3OgoAAMA9odgAAAAAoMAoNgAF8/DDD6tKlSrcSgkAAJRaFBsAAAAAFBjFBqBgHBwc9NRTT1FsAAAApRbFBgAAAAAFRrEBKLgnn3xS27Zt082bN62OAgAAkG8UGwAAAAAUGMUGoODatWun5ORk7dixw+ooAAAA+UaxAQAAAECBUWwACs7Pz0++vr6KiYmxOgoAAEC+UWwAAAAAUGBpaWlydHS0OgZQ6rVv315btmyxOgYAAEC+UWwAAAAAUGD8sgEoHO3atdO2bdt048YNq6MAAADkC8UGAAAAAAVGsQEoHO3bt9eNGzf0n//8x+ooAAAA+UKxAQAAAECBUWwACgfrNgAAgNKKYgMAAACAAqPYABQe1m0AAAClEcUGAAAAAAVGsQEoPO3atdP27duVkpJidRQAAIA8o9gAAAAAoECMMTLGUGwACknbtm2VnJysPXv2WB0FAAAgzyg2AAAAACiQ9PR0SaLYABSSunXrqlKlStq+fbvVUQAAAPKMYgMAAACAAqHYABQum82mVq1aUWwAAAClCsUGAAAAAAVCsQEofG3atKHYAAAAShWKDQAAAAAKJC0tTRLFBqAwtWnTRidPntSZM2esjgIAAJAnFBsAAAAAFAi/bAAKX6tWreTo6KgffvjB6igAAAB5QrEBAAAAQIFkFhscHR0tTgKUHe7u7mr0/7F371FV1fn/x18HBA4IiHdQvICY9zTTRtBGy3LG/HpLUUqb1G8N2sW8ZF66malp9lWWja4mK2fNOCkgjnbT+jmONk3qqvGS6XgPBW+oqYCg3D6/P1ownUDgcNvn4POx1vmjvT9779dn78920XmfvT+dOvEqJQAA4DYoNgAAAACoFJ5sAKpHZGQkTzYAAAC3QbEBAAAAQKVQbACqR48ePbR3796iewwAAMCVUWwAAAAAUCkUG4DqcddddykrK0tHjx61OgoAAECZeKkqAAAAgHIrKCjQsmXLFBAQULTs8uXLkqQtW7YoJSXFof3gwYNlt9trNCNQW3Tu3Fne3t7au3evOnToYHUcAACAUtmMMcbqEAAAAADcR9++ffXPf/6zaELowv+lKCgoUEFBQVG7tm3b8otsoJLuuusuPfDAA1qyZInVUQAAAEqTyGuUAAAAADglJiZGHh4eys3NVW5urvLy8pSXl+dQaPDy8tLjjz9uYUqgdrjrrru0Z88eq2MAAACUiWIDAAAAAKeMHDmyzDZ5eXl69NFHayANULvddddd2rt3r3gpAQAAcHUUGwAAAAA4pXHjxurTp88tJ4T28PBQr169FBYWVsPJgNqne/fuunLlik6dOmV1FAAAgFJRbAAAAADgtNKeWrDZbBo/fnwNpgFqr65du8rDw0N79+61OgoAAECpKDYAAAAAcNrDDz98y3UeHh6Kjo6uwTRA7eXv76/w8HB9//33VkcBAAAoFcUGAAAAAE5r1KiR+vbtW+xVSnXq1NHgwYMVFBRkUTKg9mnfvr3+85//WB0DAACgVBQbAAAAAFTII488UmxZfn6+Hn/8cQvSALVXhw4dKDYAAACXR7EBAAAAQIWMGDFCNpvNYVlAQIB++9vfWpQIqJ06dOigI0eOqKCgwOooAAAAt0SxAQAAAECF1K9fX/fff3/Rq5S8vb312GOPydvb2+JkQO3SoUMHZWdn69SpU1ZHAQAAuCWKDQAAAAAqLCYmRsYYSVJOTo4ee+wxixMBtU/Hjh1ls9l4lRIAAHBpFBsAAAAAVNiwYcPk4fHT/1a0bt1av/rVryxOBNQ+gYGBCgkJodgAAABcGsUGAAAAABVWv359PfDAA5KkCRMmWJwGqL2YJBoAALi6OlYHAAAAwK0tXbpUO3futDoGUKrLly9Lknbu3Kno6GiL0wC3FhkZqWnTplkdo0LatWunAwcOWB0DAADglniyAQAAwIXt3LlTu3btsjrGbWn9+vVKTU21OoZbaNasmZo0aaIDBw4wXuGydu3a5dbF21atWjFBNAAAcGk82QAAAODievXqpcTERKtj3HZsNpumTp2qUaNGWR3FLRw/flyzZ8+WJMYrXJK7P3XTunVrnTlzRjk5OfL29rY6DgAAQDE82QAAAACg0iIiIqyOANRqYWFhys/PV0pKitVRAAAASkSxAQAAAAAAF9e6dWtJUnJysqU5AAAAboViAwAAAAAALq5x48by9/en2AAAAFwWxQYAAAAAANxAq1atKDYAAACXRbEBAAAAAAA30Lp1a4oNAADAZVFsAAAAqOWeeOIJBQQEyGazad++fVbHqZB58+apY8eOCgwMlI+PjyIiIvTCCy8oMzPToV2/fv1ks9lK/Pj7+1uS/bPPPlO9evX08ccfW3J8d7J161bNnj1bSUlJCg8PL7p2jz32WLG2AwYMUEBAgDw9PdWpUyft2bPHgsTlU9v6I0nz588v8T7r3Llzie0LCgq0bNkyRUVFlbi+PPf4Rx99pMWLFys/P79a+uQOWrZsqdOnT1sdAwAAoEQUGwAAAGq59957T6tWrbI6RqVs27ZNzzzzjJKTk3Xp0iUtXLhQcXFxio6OLvc++vTpU40Jb80YY8lx3c2rr76q5cuXa86cORoxYoROnjypNm3aqGHDhlqzZo0+/fRTh/ZffPGFEhMTNXjwYB08eFDdu3e3KHnZalt/nHXs2DH9+te/1rRp05SVlVVim/Lc40OGDJHdblf//v119erVmorvUoKDg3XhwgWrYwAAAJSIYgMAAABcnr+/v2JjY9WgQQMFBARo1KhRGj58uLZs2aKUlJSidna7Xenp6TLGOHxiY2P1wgsvWJJ90KBBunbtmgYPHmzJ8X8uOzv7lr8st9KiRYu0bt06JSQkKCAgwGHd8uXL5eHhodjYWF27ds2ihFWnNvXnL3/5S7F77fvvv3dos3//fs2aNUuTJk1St27dbrmv8t7jzz33nLp27aqHHnpIeXl51dY3VxUcHKzz589bHQMAAKBEFBsAAABuAzabzeoIlfLJJ5/I09PTYVmjRo0kyeGX0lu2bCn2ZXVKSoq+//573X///dUf1MW9//77SktLszqGg+PHj+vll1/Wa6+9JrvdXmx9VFSUpkyZojNnzuj555+3IGHVqm39KUvXrl2VlJSkMWPGyMfH55btynuPS9LcuXO1b98+xcXFVX1gFxccHKxr164pOzvb6igAAADFUGwAAACoZYwxWrJkidq1aycfHx/Vq1dPM2bMKNYuPz9fr7zyilq2bClfX1/deeedio+PlyStXLlSdevWlZ+fnzZt2qSBAwcqMDBQoaGhWrt2rcN+duzYoXvuuUd+fn4KDAxUly5dlJ6eXuYxKuvMmTPy9fVVWFhYqe0WLVqk5557rkqO6ayvvvpKLVu2lM1m0x/+8AdJ5T+3y5cvl91uV5MmTTRx4kSFhITIbrcrKipKu3fvLmo3efJkeXt7Kzg4uGjZ008/rbp168pms+nSpUuSpClTpmj69Ok6ceKEbDabIiIiJP1UoAkMDNSCBQtq4pQUs3z5chljNGTIkFu2mT9/vu644w6999572rp1a6n7M8Zo6dKl6tChg3x8fFS/fn0NGzZMhw8fLmrjzPiujjFc2/pTXW51j9evX199+/ZVXFzcbfeasqZNm0oSr1ICAAAuiWIDAABALfPyyy9r5syZio2N1YULF3T+/HnNmjWrWLtZs2bpzTff1LJly3Tu3DkNHjxYjz76qL799ls99dRTmjp1qrKzsxUQEKD4+HidOHFC4eHhevLJJ5WbmytJun79uoYMGaKRI0fqxx9/1LFjx3THHXcoJyenzGNURlZWlrZt26Ynn3xS3t7et2x35swZbd++XSNGjKjU8SqqT58++vrrrx2WlffcTp48WePGjVNWVpaee+45JScna8+ePcrLy9ODDz5Y9GqZ5cuXa9SoUQ7HWLFihV577TWHZXFxcRo8eLDatGkjY4yOHz8uSUWT7RYUFFTLOSjLp59+qnbt2snPz++WbXx9ffWnP/1JHh4eevLJJ3X9+vVbtp07d65mz56tF198UWlpafryyy+VkpKie++9t+gL2vJeA6l6xnBt6c/s2bNVv359eXt7KywsTMOGDdM333zj/AkpQVn3+F133aUzZ85o//79VXI8d1FYVORVSgAAwBVRbAAAAKhFsrOztWzZMj3wwAOaNm2agoKC5OvrqwYNGji0u3HjhlauXKnhw4drxIgRCgoK0ksvvSQvLy+tXr3aoW1UVJQCAwPVuHFjxcTE6Pr16zp9+rQkKTk5Wenp6erUqZPsdruaNm2qpKQkNWrUyKljOGvhwoUKCQnR/PnzS223aNEiPfvss/LwcM0/e0s7t4Xq1KlT9Kv2jh07auXKlcrIyKj0OSw0aNAgpaen6+WXX66S/Tnj+vXr+uGHH9SmTZsy20ZGRmrq1KlKTk4usXgm/TT+ly5dqocfflhjx45VvXr11KVLF73zzju6dOmS3n333WLblHYNqnMMu3t/Hn/8cX300UdKSUlRZmam1q5dq9OnT6tv3746ePCg8yfkF8q6x9u2bStJOnDgQKWP5U6Cg4Nls9koNgAAAJfkmv/XBQAAgAo5fvy4srKy1L9//1LbHTlyRFlZWercuXPRMl9fXwUHBzu8nuWXCn9hXPhL6fDwcDVp0kRjx47V3LlzlZycXOljlGXDhg1KSEjQ559/Xmx+hp87e/asPvroI40bN67Cx6pJvzy3t9KjRw/5+flV6hy6irS0NBljSn2q4efmz5+vdu3aacWKFfrqq6+KrT948KAyMzPVo0cPh+U9e/aUt7e3w+unSvLLa1BdY7iQO/enRYsWuuuuu+Tv7y9vb2/16tVLq1evVnZ2tlasWOHUvn6pPPd44Zi53V4n5OPjo6CgoNuu3wAAwD1QbAAAAKhFUlNTJUmNGzcutV3ha1teeukl2Wy2os+pU6eKTcZaGl9fX23btk19+vTRggULFB4erpiYGGVnZ1fZMX5u3bp1WrRokbZv367WrVuX2nbx4sV68sknS5x02N35+Pjo4sWLVseotBs3bkhSqRMH/5zdbtfq1atls9k0YcKEYpPkXr16VZLk7+9fbNugoCBlZGQ4la86xvDP1bb+dOnSRZ6enjp69GiF91Hee9zX11fSf8fQ7aRRo0ZFc7EAAAC4EooNAAAAtUjhF+s3b94stV1hMWLZsmUyxjh8du7c6dQxO3XqpI8//lhnz57VzJkzFR8fr7feeqtKjyFJb7/9ttasWaNt27apWbNmpbY9f/68PvzwQz311FNOH8fV5ebm6urVqwoNDbU6SqUVfmFcOG9EeURGRmratGk6duyYXn/9dYd1QUFBklTil/AVOWdVPYZLUpv6U1BQoIKCgnIXj37JmXu8cF6YwjF0OwkMDHS60AQAAFATKDYAAADUIp07d5aHh4d27NhRarsWLVrIbrdr3759lTre2bNndejQIUk/fZH5xhtvqHv37jp06FCVHcMYo5kzZ+rAgQPauHFjib/y/qXFixdr7NixxeaqqA22b98uY4x69epVtKxOnTplvn7JFTVp0kQ2m03Xrl1zarvXX39d7du31969ex2Wd+7cWf7+/sUmO969e7dycnJ09913O3WcqhrDZXHH/vzmN78ptuybb76RMUaRkZFO7asi93jhmGnatKlTx6oNAgMDnb5nAAAAagLFBgAAgFqkcePGGjFihNavX6/3339f6enp+u6774pNJGu32zV+/HitXbtWK1euVHp6uvLz85Wamqpz586V+3hnz57VxIkTdfjwYeXk5Gjv3r06deqUevXqVWXHOHTokN58802tWrVKXl5eDq9/sdlseuuttxzaX7hwQR988IGmTp1a7mO4soKCAl25ckV5eXn67rvvNGXKFLVs2dJhLoqIiAj9+OOP2rhxo3Jzc3Xx4kWdOnWq2L4aNGigs2fPKjk5WRkZGcrNzdXmzZsVGBioBQsW1GCvfuLn56fw8PCi13+VV+Hrhzw9PYstnz59ujZs2KA1a9YoPT1dBw4c0KRJkxQSEqLY2Finj1PWGI6JiVHTpk21Z88ep/bt7v05c+aM1q1bp6tXryo3N1c7d+7UE088oZYtW2rSpElO5XL2Hpf++8q4Ll26OHWs2qBevXpKT0+3OgYAAEAxFBsAAABqmQ8++EDjx4/XzJkz1bx5cz399NO69957JUmDBw/Wd999J0mKi4vT1KlTtXjxYjVs2FAhISGaMmWKrly5opUrV2rZsmWSpDvvvFMnT57UqlWrNH36dEnSb3/7Wx07dkyNGzdWfn6+oqKi5Ofnp//5n//RxIkT9cwzz5R5jPIyxjjV/zfffFNDhgxRy5YtndquOvzhD39Qz549JUkzZ87U0KFDy31uC924cUNdunSRr6+v7r33Xt1xxx36xz/+4fCqmqeeekr33XefHnnkEbVr106vv/560etlIiMjlZKSIkmaNGmSmjRpoo4dO+qhhx7Sjz/+WCPnoTSDBg3SwYMHHeYr+Nvf/qaIiAidOHFCPXv21LPPPltsu169emnatGnFlr/66qtauHCh5s2bp0aNGqlv375q3bq1tm/frrp160qSU9egrDGck5OjtLQ0bdq06ZZ9rG39KdznSy+9pNDQUPn5+WnUqFHq3bu3du3apYYNGxa127Vrl/r06aNmzZpp9+7d2r9/v0JCQtS7d299+eWXkpy/x6WfnqJo3ry57rzzTqe3dXc82QAAAFyVzVTkLzsAAADUiOjoaElSYmKixUluPzabTfHx8Ro1apRlGSZOnKjExERdvnzZsgzOqMh4PX78uDp06KDVq1dr7Nix1RWt2hQUFKhfv34aN26cJkyYYHWcSnOH/ly+fFmhoaGaP39+UUGlPGrLv6eTJ0/Wvn37ioo1AAAALiKRJxsAAAAAF+bM5MnuKCIiQvPmzdO8efOUmZlpdRyn5Ofna+PGjcrIyFBMTIzVcSrNXfozd+5cdevWTZMnT7Y6iiV4sgEAALgqig0AAACocYcPHy72XvaSPq78hSeqzuzZsxUdHa2YmBi3+hJ1+/btSkpK0ubNm+Xn52d1nEpzh/4sXbpU+/bt02effSYvLy+r41iCYgMAAHBVdawOAAAAgNtP+/btK/Se9tvJnDlztHr1auXk5CgsLExLlizRyJEjrY5VbRYsWKAvvvhCb7zxhhYtWmR1nHLp37+/+vfvb3WMKuPq/dm0aZNu3ryp7du3F5tM+3bi5+fnMMcJAACAq6DYAAAAALighQsXauHChVbHqFEDBgzQgAEDrI4BFzV06FANHTrU6hiW8/LyUm5urtUxAAAAiuE1SgAAAAAAuAlvb2/l5ORYHQMAAKAYig0AAAAAALgJLy8vig0AAMAlUWwAAAAAAMBNeHt7Ky8vj3lvAACAy6HYAAAAAACAm/D29pYxRnl5eVZHAQAAcECxAQAAAAAAN+Hl5SVJvEoJAAC4nDpWBwAAAEDp1q9fL5vNZnWM29Lo0aM1evRoq2O4HcYrXNXIkSOtjlBp3t7ekn4qNtStW9fiNAAAAP9FsQEAAMDF9erVS1OnTrU6xm1n9OjRmjJliiIjI62O4jaWLVsmSYxXuKTC8enuCudqoKgHAABcDcUGAAAAFxcaGqpRo0ZZHeO2M3r0aEVGRnLunZCYmChJnDO4pMLx6e4K52oofJ0SAACAq2DOBgAAAAAA3ERubq4kqU4dfjsIAABcC8UGAAAAAADcROGTDRQbAACAq6HYAAAAAACAm8jLy5PNZpOnp6fVUQAAABxQbAAAAAAAwE3k5eXxVANjd+h9AAAgAElEQVQAAHBJFBsAAAAAAHATubm5FBsAAIBLotgAAABwG0tKSlJ4eLhsNpvDx9vbW02aNFG/fv20ZMkSXblyxeqouA1s3bpVs2fPLjYuH3vssWJtBwwYoICAAHl6eqpTp07as2ePBYnLp7b15+cKCgq0bNkyRUVFlbh+3rx56tixowIDA+Xj46OIiAi98MILyszMLNb2ww8/VM+ePRUQEKBWrVpp/PjxOn/+fNH6jz76SIsXL1Z+fn619ccd5OXlycvLy+oYAAAAxVBsAAAAuI2NGDFCJ0+eVJs2bVSvXj0ZY1RQUKC0tDQlJCQoLCxMM2fOVKdOnfTtt99aHRe12Kuvvqrly5drzpw5DuOyYcOGWrNmjT799FOH9l988YUSExM1ePBgHTx4UN27d7coedlqW38KHTt2TL/+9a81bdo0ZWVlldhm27ZteuaZZ5ScnKxLly5p4cKFiouLU3R0tEO7+Ph4jRkzRtHR0UpNTdWmTZv05ZdfauDAgUUTIg8ZMkR2u139+/fX1atXq71/rur69euqW7eu1TEAAACKodgAAAAABzabTUFBQerXr59Wr16thIQEXbhwQYMGDdK1a9esjnfbyM7OvuWvxd3pGOWxaNEirVu3TgkJCQoICHBYt3z5cnl4eCg2NrZWjL/a0p/9+/dr1qxZmjRpkrp163bLdv7+/oqNjVWDBg0UEBCgUaNGafjw4dqyZYtSUlKK2v3xj39Us2bNNGPGDNWrV0/dunXTtGnTtG/fPu3evbuo3XPPPaeuXbvqoYceKipC3G4yMjKK3ScAAACugGIDAAAASjVy5EiNGzdOaWlpeuedd6yOc9t4//33lZaW5vbHKMvx48f18ssv67XXXpPdbi+2PioqSlOmTNGZM2f0/PPPW5CwatWW/nTt2lVJSUkaM2aMfHx8btnuk08+kaenp8OyRo0aSZLD0xApKSkKCQmRzWYrWtaiRQtJ0qlTpxy2nzt3rvbt26e4uLhK98MdUWwAAACuimIDAAAAyjRu3DhJ0ubNm4uW5efn65VXXlHLli3l6+urO++8U/Hx8ZKklStXqm7duvLz89OmTZs0cOBABQYGKjQ0VGvXrnXY944dO3TPPffIz89PgYGB6tKli9LT08s8hqsxxmjp0qXq0KGDfHx8VL9+fQ0bNkyHDx8uajN58mR5e3srODi4aNnTTz+tunXrymaz6dKlS5KkKVOmaPr06Tpx4oRsNpsiIiK0fPly2e12NWnSRBMnTlRISIjsdruioqIcfvldmWNI0pYtWxQYGKgFCxZU6/kqtHz5chljNGTIkFu2mT9/vu644w6999572rp1a6n7K891cGZ8VscYrG39cdaZM2fk6+ursLCwomXh4eHFCl+F8zWEh4c7LK9fv7769u2ruLg4GWOqP7CLodgAAABcFcUGAAAAlKnwNSknT54sWjZr1iy9+eabWrZsmc6dO6fBgwfr0Ucf1bfffqunnnpKU6dOVXZ2tgICAhQfH68TJ04oPDxcTz75pHJzcyX99O7xIUOGaOTIkfrxxx917Ngx3XHHHcrJySnzGK5m7ty5mj17tl588UWlpaXpyy+/VEpKiu69915duHBB0k9frI8aNcphuxUrVui1115zWBYXF6fBgwerTZs2Msbo+PHjmjx5ssaNG6esrCw999xzSk5O1p49e5SXl6cHH3yw6JU0lTmGpKLJdwsKCqru5JTi008/Vbt27eTn53fLNr6+vvrTn/4kDw8PPfnkk7p+/fot25bnOpR3fErVMwZrW3+ckZWVpW3btunJJ5+Ut7d30fI5c+bo/Pnzevvtt5WRkaGDBw8qLi5Ov/nNb9SrV69i+7nrrrt05swZ7d+/v0ZyuxKKDQAAwFVRbAAAAECZAgICZLPZlJGRIUm6ceOGVq5cqeHDh2vEiBEKCgrSSy+9JC8vL61evdph26ioKAUGBqpx48aKiYnR9evXdfr0aUlScnKy0tPT1alTJ9ntdjVt2lRJSUlq1KiRU8ewWnZ2tpYuXaqHH35YY8eOVb169dSlSxe98847unTpkt59990qO1adOnWKfuXesWNHrVy5UhkZGVV2TgYNGqT09HS9/PLLVbK/0ly/fl0//PCD2rRpU2bbyMhITZ06VcnJyZo1a1aJbSpyHUobn9U5Bmtbf8pr4cKFCgkJ0fz58x2W9+3bVzNnztTkyZMVGBiozp07KyMjQ++9916J+2nbtq0k6cCBA9We2dVkZGQoMDDQ6hgAAADFUGwAAABAma5fvy5jTNEXXEeOHFFWVpY6d+5c1MbX11fBwcEOr3f5pcJfMhf+0jo8PFxNmjTR2LFjNXfuXCUnJxe1regxrHDw4EFlZmaqR48eDst79uwpb29vh9ccVbUePXrIz8/P5c5JeaSlpckYU+pTDT83f/58tWvXTitWrNBXX31VbH1lr8Mvx2d1j8Ha1p+ybNiwQQkJCfr888+L/TL/xRdf1Lvvvqu///3vyszM1MmTJxUVFaXIyEiHiaQLFY6Zwqc7bic82QAAAFwVxQYAAACU6ejRo5Kk9u3bS1LRa19eeukl2Wy2os+pU6ccJn0ti6+vr7Zt26Y+ffpowYIFCg8PV0xMjLKzs6vsGDXh6tWrkiR/f/9i64KCgoqeCKkuPj4+unjxYrUeozrcuHFDkkqdYPjn7Ha7Vq9eLZvNpgkTJig7O9thfVVfh+oeg7WtP6VZt26dFi1apO3bt6t169YO686dO6fFixfr97//ve6//37VrVtXYWFhWrVqlc6ePaslS5YU25+vr6+k/46h20l6ejrFBgAA4JIoNgAAAKBMW7ZskSQNHDhQktS4cWNJ0rJly2SMcfjs3LnTqX136tRJH3/8sc6ePauZM2cqPj5eb731VpUeo7oFBQVJUolf/l69elWhoaHVduzc3NxqP0Z1KfzCuHCeiPKIjIzUtGnTdOzYMb3++usO66r6OtTEGKxt/SnJ22+/rTVr1mjbtm1q1qxZsfXHjh1Tfn5+sXWBgYFq0KCBDh48WGybwnldCsfQ7SQtLa3oWgIAALgSig0AAAAo1fnz57Vs2TKFhoZqwoQJkqQWLVrIbrdr3759ldr32bNndejQIUk/fRH6xhtvqHv37jp06FCVHaMmdO7cWf7+/sUm2d29e7dycnJ09913Fy2rU6eOw4S9lbV9+3YZYxwm0a3qY1SXJk2ayGaz6dq1a05t9/rrr6t9+/bau3evw3JnrkN51NQYrG39KWSM0cyZM3XgwAFt3LixxCc0JBUVTc6dO+ewPCMjQz/++KNatGhRbJvCMdO0adMqTu36Ll68eFv2GwAAuD6KDQAAAJD00xeDmZmZKigokDFGFy9eVHx8vHr37i1PT09t3LixaM4Gu92u8ePHa+3atVq5cqXS09OVn5+v1NTUYl8Ylubs2bOaOHGiDh8+rJycHO3du1enTp1Sr169quwYNcFut2v69OnasGGD1qxZo/T0dB04cECTJk1SSEiIYmNji9pGREToxx9/1MaNG5Wbm6uLFy/q1KlTxfbZoEEDnT17VsnJycrIyCgqHhQUFOjKlSvKy8vTd999pylTpqhly5YaN25clRxj8+bNCgwM1IIFC6r+RP2Cn5+fwsPDlZqa6tR2ha8f8vT0LLa8vNehvMcpawzGxMSoadOm2rNnj1P7rs39KXTo0CG9+eabWrVqlby8vBxe3WSz2fTWW29JksLCwnTfffdp1apV+vLLL5Wdna2UlJSi/v3v//5vsX0XjpkuXbpUOqc7SU9PV3Z2tpo0aWJ1FAAAgOIMAAAAXNbIkSPNyJEjq23/H330kbnzzjuNn5+f8fb2Nh4eHkaSsdlsJigoyNxzzz1m3rx55vLly8W2vXnzppk5c6Zp2bKlqVOnjmncuLEZMWKEOXjwoFmxYoXx8/Mzkkzbtm3NiRMnzLvvvmsCAwONJNOqVStz9OhRk5ycbKKiokz9+vWNp6enadasmXnxxRdNXl5emceobpJMfHx8udsXFBSYJUuWmLZt2xovLy9Tv359M3z4cHPkyBGHdpcvXzb33XefsdvtJiwszDz77LNmxowZRpKJiIgwp0+fNsYYs2fPHtOqVSvj6+tr+vTpY86fP29iY2ONl5eXad68ualTp44JDAw0w4YNMydOnKiyY3z22WcmICDAzJ8/3+lzVpHxOnnyZOPl5WWysrKKlm3YsMG0adPGSDKNGjUyzzzzTInbzpgxwwwdOtRhWXmuQ3nHpzFlj8Hhw4cbSeaVV165ZR9rW3+MMWbnzp2md+/eJiQkxEgykkxwcLCJiooyO3bsMMYYc+DAgaJ1JX2WLFlStL9Lly6ZKVOmmIiICOPj42P8/f1N7969zd/+9rcSjz9o0CDTvHlzU1BQUGrOn6vuf09rwtGjR40k8+9//9vqKAAAAL+UYDPGmJorbQAAAMAZ0dHRkqTExESLk9x+bDab4uPjNWrUKKujFJk4caISExN1+fJlq6OUqCLj9fjx4+rQoYNWr16tsWPHVle0alNQUKB+/fpp3LhxRa8Zc2fu0J/Lly8rNDRU8+fP1/Tp08u9XW349/Rf//qX+vTpo9TUVDVv3tzqOAAAAD+XyGuUAAAAADfizGTK7iAiIkLz5s3TvHnzlJmZaXUcp+Tn52vjxo3KyMhQTEyM1XEqzV36M3fuXHXr1k2TJ0+2OkqNS0tLk81mY4JoAADgkig2AAAAALDU7NmzFR0drZiYGKcni7bS9u3blZSUpM2bN8vPz8/qOJXmDv1ZunSp9u3bp88++0xeXl5Wx6lxFy5cUFBQkLy9va2OAgAAUAzFBgAAAMANzJkzR6tXr9a1a9cUFham9evXWx2pSi1YsECTJ0/WG2+8YXWUcuvfv7/++te/Kjg42OooVcLV+7Np0ybdvHlT27dvV/369a2OY4m0tDQmhwYAAC6rjtUBAAAAAJRt4cKFWrhwodUxqtWAAQM0YMAAq2PARQ0dOlRDhw61OoalTp06pZYtW1odAwAAoEQ82QAAAAAAgBs4deqUWrVqZXUMAACAElFsAAAAAADADSQnJ1NsAAAALotiAwAAAAAALs4Yo9TUVLVu3drqKAAAACWi2AAAAAAAgIs7d+6cbt68yZMNAADAZTFBNAAAgItLTU1VQkKC1TFuSzt37rQ6gltJTU2VJMYrXFJqaqpCQ0OtjlFhp06dkiSKDQAAwGXZjDHG6hAAAAAoWXR0tNavX291DACoFUaOHKnExESrY1TIunXr9Nhjjyk7O1t16vC7QQAA4HIS+QsFAADAhbnrl2K4fcTFxWnJkiU6c+aM1VGAWu2HH35QaGgohQYAAOCymLMBAAAAQIXl5OTI29vb6hhArXfkyBG1a9fO6hgAAAC3RLEBAAAAQIVRbABqxuHDh9W+fXurYwAAANwSxQYAAAAAFZabm0uxAagBR44codgAAABcGsUGAAAAABV28+ZNig1ANTt37pyuXr1KsQEAALg0ig0AAAAAKozXKAHV7/Dhw5JEsQEAALg0ig0AAAAAKiwnJ0c+Pj5WxwBqtcOHDysoKEjBwcFWRwEAALglig0AAAAAKownG4Dqx3wNAADAHVBsAAAAAFBhFBuA6vef//xH7dq1szoGAABAqSg2AAAAAKgwig1A9du/f7+6du1qdQwAAIBSUWwAAAAAUGE3b96k2ABUo7Nnz+rChQu66667rI4CAABQKooNAAAAACqMJxuA6rV3717ZbDaebAAAAC6PYgMAAACACsvJyZGPj4/VMYBaa9++fWrVqpXq169vdRQAAIBSUWwAAAAAUGE82QBUr/3796tbt25WxwAAACgTxQYAAAAAFUaxAahee/fupdgAAADcAsUGAAAAABVGsQGoPpmZmTp58iTFBgAA4BYoNgAAAACosJs3b1JsAKrJ/v37VVBQwOTQAADALVBsAAAAAFBhPNkAVJ9du3apSZMmat26tdVRAAAAykSxAQAAAECFUWwAqs+uXbsUGRlpdQwAAIByodgAAAAAoMIoNgDVZ9euXfrVr35ldQwAAIByodgAAAAAoMIoNgDV4+zZs0pNTeXJBgAA4DYoNgAAAACoMIoNQPX417/+JU9PT/Xo0cPqKAAAAOVCsQEAAABAhd28eZNiA1ANdu3apS5dusjf39/qKAAAAOVCsQEAAABAheXk5MjHx8fqGECts2vXLvXq1cvqGAAAAOVGsQEAAABAheTl5amgoIAnG4AqlpOToz179jA5NAAAcCsUGwAAAABUSE5OjiRRbACq2L///W/duHFDvXv3tjoKAABAuVFsAAAAAFAhFBuA6vGPf/xDISEhatu2rdVRAAAAyo1iAwAAAIAKodgAVI8dO3bovvvuszoGAACAUyg2AAAAAKgQig1A1cvLy9POnTvVt29fq6MAAAA4hWIDAAAAgAq5efOmJMnHx8fiJEDt8c033ygjI0P9+vWzOgoAAIBTKDYAAAAAqBCebACq3vbt2xUSEqI77rjD6igAAABOodgAAAAAoEIoNgBVb8eOHTzVAAAA3BLFBgAAAAAVQrEBqFp5eXn6+uuvma8BAAC4JYoNAAAAACqEYgNQtb799ltlZGRQbAAAAG6pjtUBAAAAALi+9PR09e3bV3l5eZKkhg0bKjMzU/7+/nr66afl7e0tHx8f+fn5KSAgQG+99ZbFiQH38/nnnys0NFTt27e3OgoAAIDTKDYAAAAAKFNgYKDq1q2rr7/+WsYYh3WbNm2SJHl4eMgYo8cff9yKiIDb+/zzz/Xb3/7W6hgAAAAVwmuUAAAAAJTL6NGj5enpecv1BQUFMsZowoQJNZgKqB2uXLmib775Rr/5zW+sjgIAAFAhFBsAAAAAlMvDDz+s/Pz8UtuEhoaqT58+NZQIqD22bt0qY4zuv/9+q6MAAABUCMUGAAAAAOXSvHlzde/eXTabrcT1Xl5eio2NveV6ALf2+eef65577lGDBg2sjgIAAFAhFBsAAAAAlNvo0aNVp07JU7/l5eXpd7/7XQ0nAmqH//f//h+vUAIAAG6NYgMAAACAchs5cqRyc3OLLff09FS/fv3UsmVLC1IB7u3QoUM6ffo0k0MDAAC3RrEBAAAAQLmFhYWpU6dOxZYbY/TEE09YkAhwf1u2bFH9+vXVo0cPq6MAAABUGMUGAAAAAE6JiYmRl5eXwzK73a5hw4ZZlAhwb1u2bNGDDz4oT09Pq6MAAABUGMUGAAAAAE55+OGHHV6l5OXlpTFjxsjPz8/CVIB7Sk9P144dOzRkyBCrowAAAFQKxQYAAAAATunYsaPatGlT9N+5ubkaP368hYkA97V582bl5+czXwMAAHB7FBsAAAAAOC0mJkbe3t6SfprHoVevXhYnAtzTxx9/rD59+qhhw4ZWRwEAAKgUig0AAAAAnPbwww8rJydHHh4e+v3vfy+bzWZ1JMDt5Ofna8uWLRo8eLDVUQAAACqNYgMAAAAAp3Xv3l2hoaEyxmjMmDFWxwHc0ldffaXLly9TbAAAALVCHasDAAAA3O4SEhI0evRoq2MAFdayZUurIwBOMcZYHUHST69Qateune644w6rowAAAFQaxQYAAAAXER8fb3UE/MKyZcskSVOnTrU4iWs6evSoLl++rMjIyKJlO3fuVFxcHOMZLqlwfLqKjz/+WEOHDrU6BgAAQJWg2AAAAOAiRo0aZXUE/EJiYqIkrs2tFBQUKDc3Vz4+Pg7L4+LiOGdwWa5SbDhy5IiOHj3KK5QAAECtwZwNAAAAACrEw8OjWKEBQPls2rRJDRs2dHgyCAAAwJ1RbAAAAAAAoIatX79ew4cPV506vHAAAADUDhQbAAAAAACoQSkpKfr22281YsQIq6MAAABUGYoNAAAAAADUoISEBNWrV0/333+/1VEAAACqDMUGAAAAAABqUFJSkoYOHSpvb2+rowAAAFQZig0AAAC1wBNPPKGAgADZbDbt27fP6jiW+/DDD9WzZ08FBASoVatWGj9+vM6fP29Zns8++0z16tXTxx9/bFkGd7F161bNnj1bSUlJCg8Pl81mk81m02OPPVas7YABAxQQECBPT0916tRJe/bssSBx+dS2/vxcQUGBli1bpqioqBLXz5s3Tx07dlRgYKB8fHwUERGhF154QZmZmcXalnXvfvTRR1q8eLHy8/OrrT/V7cyZM9q9ezevUAIAALUOxQYAAIBa4L333tOqVausjuES4uPjNWbMGEVHRys1NVWbNm3Sl19+qYEDByovL8+STMYYS47rbl599VUtX75cc+bM0YgRI3Ty5Em1adNGDRs21Jo1a/Tpp586tP/iiy+UmJiowYMH6+DBg+revbtFyctW2/pT6NixY/r1r3+tadOmKSsrq8Q227Zt0zPPPKPk5GRdunRJCxcuVFxcnKKjox3alefeHTJkiOx2u/r376+rV69We/+qQ1JSkurWrasHH3zQ6igAAABVimIDAAAAXE52dvYtfyVdlj/+8Y9q1qyZZsyYoXr16qlbt26aNm2a9u3bp927d1dx0vIZNGiQrl27psGDB1ty/J+rzLmtTosWLdK6deuUkJCggIAAh3XLly+Xh4eHYmNjde3aNYsSVp3a0p/9+/dr1qxZmjRpkrp163bLdv7+/oqNjVWDBg0UEBCgUaNGafjw4dqyZYtSUlKK2pX33n3uuefUtWtXPfTQQ5YVECsjKSlJgwcPlt1utzoKAABAlaLYAAAAUEvYbDarI1SZ999/X2lpaRXaNiUlRSEhIQ7no0WLFpKkU6dOVUk+d1aZc1tdjh8/rpdfflmvvfZaiV/ARkVFacqUKTpz5oyef/55CxJWrdrSn65duyopKUljxoyRj4/PLdt98skn8vT0dFjWqFEjSXJ4GsKZe3fu3Lnat2+f4uLiKt2PmnThwgX961//4hVKAACgVqLYAAAA4IaMMVqyZInatWsnHx8f1atXTzNmzHBo8+abb8rPz08BAQFKS0vT9OnT1bx5cx05ckTGGC1dulQdOnSQj4+P6tevr2HDhunw4cNF2y9fvlx2u11NmjTRxIkTFRISIrvdrqioqGJPCJRnf5MnT5a3t7eCg4OLlj399NOqW7eubDabLl26JEmaMmWKpk+frhMnTshmsykiIsKpcxMeHl7sy/TCd76Hh4c7ta+q8NVXX6lly5ay2Wz6wx/+IElauXKl6tatKz8/P23atEkDBw5UYGCgQkNDtXbt2qJty3sNKntut2zZosDAQC1YsKAmTkkxy5cvlzFGQ4YMuWWb+fPn64477tB7772nrVu3lrq/8ozH8l4DScrPz9crr7yili1bytfXV3feeafi4+Mr1efa1h9nnTlzRr6+vgoLCyta5sy9W79+ffXt21dxcXFu9ZqyDRs2yG6367e//a3VUQAAAKqeAQAAgKXi4+ONs3+Wvfjii8Zms5n/+7//M1euXDFZWVlmxYoVRpLZu3evQztJ5rnnnjNvv/22efjhh81//vMf88orrxhvb2/zl7/8xVy9etV89913pnv37qZRo0bm/PnzRdvHxsaaunXrmkOHDpkbN26YgwcPmp49e5qAgABz+vTponbl3d+YMWNM06ZNHfqyZMkSI8lcvHixaNmIESNMmzZtnDonhbZv3268vLzM8uXLTXp6uvn+++9Nhw4dzG9+8xun9zVy5EgzcuTICuX4uZSUFCPJvP3220XLCq/N3//+d3Pt2jWTlpZm7r33XlO3bl2Tk5NT1K6816Ay5/aTTz4xAQEBZt68eZXua0XGc3h4uOnYsWOJ69q0aWN++OEHY4wxX3/9tfHw8DCtW7c2mZmZxhhjNm/ebIYOHeqwTXnHY3mvwfPPP298fHzM+vXrzZUrV8ycOXOMh4eH+eabb5zqZ23sT6Ff/epXpmvXruVqe/36dRMQEGAmT57ssNzZe3f27NnF/s0rS0XGZ1Xq06ePeeSRRyw7PgAAQDVK4MkGAAAAN5Odna1ly5bpgQce0LRp0xQUFCRfX181aNDgltssWrRIzzzzjJKSktSqVSstXbpUDz/8sMaOHat69eqpS5cueuedd3Tp0iW9++67DtvWqVOn6BfVHTt21MqVK5WRkaHVq1cX5XFmf9Wtb9++mjlzpiZPnqzAwEB17txZGRkZeu+992o0R3lFRUUpMDBQjRs3VkxMjK5fv67Tp087tCnrGlTWoEGDlJ6erpdffrlK9ueM69ev64cfflCbNm3KbBsZGampU6cqOTlZs2bNKrFNRcZjadfgxo0bWrlypYYPH64RI0YoKChIL730kry8vCp9/mtbf8pr4cKFCgkJ0fz58x2WO3vvtm3bVpJ04MCBas9cFVJSUvT111/rkUcesToKAABAtaDYAAAA4GaOHz+urKws9e/fv0LbHzx4UJmZmerRo4fD8p49e8rb27vMSZR79OghPz+/ole4VHZ/Ve3FF1/Uu+++q7///e/KzMzUyZMnFRUVpcjISIfJaF2Rt7e3JCk3N7fUdr+8Bu4sLS1Nxhj5+fmVq/38+fPVrl07rVixQl999VWx9ZUdj7+8BkeOHFFWVpY6d+5c1MbX11fBwcFVcv5rW3/KsmHDBiUkJOjzzz8vNhG4s/du4Zi5cOFCteeuCuvWrVO9evU0YMAAq6MAAABUC4oNAAAAbiY1NVWS1Lhx4wptf/XqVUmSv79/sXVBQUHKyMgocx8+Pj66ePFile2vqpw7d06LFy/W73//e91///2qW7euwsLCtGrVKp09e1ZLliypsSzV7efXwJ3duHFDkkqdYPjn7Ha7Vq9eLZvNpgkTJig7O9thfVWPx+vXr0uSXnrpJdlstqLPqVOnHCY3rqja1p/SrFu3TosWLdL27dvVunVrh3UVuXd9fX0l/XcMubq1a9dqxIgR5R7rAAAA7oZiAwAAgJux2+2SpJs3b1Zo+6CgIEkq8UvKq1evKjQ0tNTtc3NzHdpVdn9V6dixY8rPz1ezZs0clgcGBqpBgxxrpDQAACAASURBVAY6ePBgjWWpTr+8Bu6s8Avj/Pz8cm8TGRmpadOm6dixY3r99dcd1lX1eCws6i1btkzGGIfPzp07ndrXrdS2/pTk7bff1po1a7Rt27Zi96dUsXs3JydH0n/HkCs7cuSI9u7dyyuUAABArUaxAQAAwM107txZHh4e2rFjR4W39/f317fffuuwfPfu3crJydHdd99d6vbbt2+XMUa9evVyen916tQp8xVBlVH4xeu5c+cclmdkZOjHH39UixYtqu3YNemX10Cq/nNbXZo0aSKbzaZr1645td3rr7+u9u3ba+/evQ7LKzu+f6lFixay2+3at2+fU9s5q7b1p5AxRjNnztSBAwe0cePGEp/QkCp27xaOmaZNm1Zx6qq3du1aBQcHq2/fvlZHAQAAqDYUGwAAANxM48aNNWLECK1fv17vv/++0tPT9d1335V7Ima73a7p06drw4YNWrNmjdLT03XgwAFNmjRJISEhio2NdWhfUFCgK1euKC8vT999952mTJmili1baty4cU7vLyIiQj/++KM2btyo3NxcXbx4UadOnSqWsUGDBjp79qySk5OVkZFR7i/Rw8LCdN9992nVqlX68ssvlZ2drZSUlKIM//u//1uu/biasq6BVLlzu3nzZgUGBmrBggU12Kuf+Pn5KTw8vOj1YOVV+PohT0/PYsudGd/lOc748eO1du1arVy5Uunp6crPz1dqamrRF+MxMTFq2rSp9uzZ49S+a3N/Ch06dEhvvvmmVq1aJS8vL4dXN9lsNr311luSKnbvFo6ZLl26VDpndUtISNDo0aOLXV8AAIBaxQAAAMBS8fHxxtk/yzIyMswTTzxhGjZsaPz9/U2fPn3MK6+8YiSZ0NBQs3//frN48WLj6+trJJkWLVqYv/zlL0XbFxQUmCVLlpi2bdsaLy8vU79+fTN8+HBz5MgRh+PExsYaLy8v07x5c1OnTh0TGBhohg0bZk6cOOHQrrz7u3z5srnvvvuM3W43YWFh5tlnnzUzZswwkkxERIQ5ffq0McaYPXv2mFatWhlfX1/Tp08fc/78+XKfm0uXLpkpU6aYiIgI4+PjY/z9/U3v3r3N3/72N6fOsTHGjBw50owcOdLp7X7u7bffNsHBwUaS8fPzM0OGDDErVqwwfn5+RpJp27atOXHihHn33XdNYGCgkWRatWpljh49aowp/zWozLn97LPPTEBAgJk/f36l+mpMxcbz5MmTjZeXl8nKyipatmHDBtOmTRsjyTRq1Mg888wzJW47Y8YMM3ToUIdl5RmPzlyDmzdvmpkzZ5qWLVuaOnXqmMaNG5sRI0aYgwcPGmOMGT58uJFkXnnllVv2sbb1xxhjdu7caXr37m1CQkKMJCPJBAcHm6ioKLNjxw5jjDEHDhwoWlfSZ8mSJUX7c/beHTRokGnevLkpKCgoNefPVWR8Vta///1vI8ns2rWrRo8LAABQwxJsxhhTM2UNAAAAlKTwF6+u+GfZxIkTlZiYqMuXL1sdxRLR0dGSpMTERMsyuNs1qMh4Pn78uDp06KDVq1dr7Nix1ZiuehQUFKhfv34aN26cJkyYYHWcSnOH/ly+fFmhoaGaP3++pk+fXu7trPj39oUXXtD69et14sQJ2Wy2GjsuAABADUvkNUoAAAAolTMT96J61PZrEBERoXnz5mnevHnKzMy0Oo5T8vPztXHjRmVkZCgmJsbqOJXmLv2ZO3euunXrpsmTJ1sdpVT5+fn68MMP9eijj1JoAAAAtR7FBgAAALi0w4cPF3vPe0kfV/5iFGWbPXu2oqOjFRMT4/Rk0Vbavn27kpKStHnzZvn5+Vkdp9LcoT9Lly7Vvn379Nlnn8nLy8vqOKXaunWrzpw545ZP7AAAADiLYgMAAABKNGfOHK1evVrXrl1TWFiY1q9fb0mO9u3byxhT5mfdunWW5KtOrnINasqCBQs0efJkvfHGG1ZHKbf+/fvrr3/9q4KDg62OUiVcvT+bNm3SzZs3tX37dtWvX9/qOGX685//rMjISLVv397qKAAAANWOORsAAAAs5spzNtzuXGHOBnfDeIYrq8nxmZ6erpCQEL311luaNGlStR8PAADAYszZAAAAAABAVVu/fr3y8vI0atQoq6MAAADUCIoNAAAAAABUsT//+c8aMmSIGjZsaHUUAACAGlHH6gAAAAAAANQmp06d0j//+U/97W9/szoKAABAjeHJBgAAAAAAqtCf//xnNWzYUAMHDrQ6CgAAQI3hyQYAAAAXkZCQYHUE/EJqaqokro0zdu7cKYlzBtdUOD6r21//+lc9+uij8vLyqpHjAQAAuAKbMcZYHQIAAOB2lpCQoNGjR1sdAwBuG9X5v8Fff/21evfurW+//VZ33313tR0HAADAxSTyZAMAAICL4Dcgric6OlqSlJiYaHES91FYPGM8wxXVRHH3gw8+UJcuXSg0AACA2w5zNgAAAAAAUAWuX7+uhIQEPfHEE1ZHAQAAqHEUGwAAAAAAqALx8fG6efOmHn30UaujAAAA1DiKDQAAAAAAVIEPPvhAw4YNU6NGjayOAgAAUOOYswEAAAAAgEo6evSovv76a23ZssXqKAAAAJbgyQYAAAAAACrp/fffV/PmzdW/f3+rowAAAFiCYgMAAAAAAJWQl5env/zlL5owYYI8PT2tjgMAAGAJig0AAAC1TFJSksLDw2Wz2Rw+3t7eatKkifr166clS5boypUrVkcFitm6datmz55dbBw/9thjxdoOGDBAAQEB8vT0VKdOnbRnzx4LEpdPbevPzxUUFGjZsmWKiooqcf28efPUsWNHBQYGysfHRxEREXrhhReUmZlZrO2HH36onj17KiAgQK1atdL48eN1/vz5ovUfffSRFi9erPz8/GrrT0V8+umnOn/+vH73u99ZHQUAAMAyFBsAAABqmREjRujkyZNq06aN6tWrJ2OMCgoKlJaWpoSEBIWFhWnmzJnq1KmTvv32W6vjAkVeffVVLV++XHPmzHEYxw0bNtSaNWv06aefOrT/4osvlJiYqMGDB+vgwYPq3r27RcnLVtv6U+jYsWP69a9/rWnTpikrK6vENtu2bdMzzzyj5ORkXbp0SQsXLlRcXJyio6Md2sXHx2vMmDGKjo5WamqqNm3apC+//FIDBw5UXl6eJGnIkCGy2+3q37+/rl69Wu39K68PPvhA/fv3V5s2bayOAgAAYBmKDQAAALcBm82moKAg9evXT6tXr1ZCQoIuXLigQYMG6dq1a1bHq7Ts7Oxb/qra3dVE31zh/C1atEjr1q1TQkKCAgICHNYtX75cHh4eio2NrRXjtbb0Z//+/Zo1a5YmTZqkbt263bKdv7+/YmNj1aBBAwUEBGjUqFEaPny4tmzZopSUlKJ2f/zjH9WsWTPNmDFD9erVU7du3TRt2jTt27dPu3fvLmr33HPPqWvXrnrooYeKihBWOnv2rD777DNNmDDB6igAAACWotgAAABwGxo5cqTGjRuntLQ0vfPOO1bHqbT3339faWlpVseoFjXRN6vP3/Hjx/Xyyy/rtddek91uL7Y+KipKU6ZM0ZkzZ/T8889bkLBq1Zb+dO3aVUlJSRozZsz/Z+9Ow6Oo8vaP3xWyLw2EXTYTggiCMA48SlBRURxhWCIEgqIiogGXsIlsyjAQFIxDGJQMAj44IwJJAEERUNEBBmG8Zi4EIjwiIPsiexYIZDv/F/NPj20CJnSSSprv57rywqpTp+5TOd3E/nXVkZ+f31XbrV69usg6BrVr15Ykl7shjhw5ogYNGsiyLOe2xo0bS5IOHTrkcvzkyZO1fft2zZo1y+1xuGvBggWqUaOGoqKi7I4CAABgK4oNAAAAN6hBgwZJktauXStJevPNNxUYGKiQkBCdOnVKo0ePVsOGDbVnzx4ZYzRz5ky1bNlSfn5+qlmzpnr37q3vv//e2d/s2bPl7++vunXraujQoWrQoIH8/f0VGRnp8q1kSSXqLy4uTr6+vqpfv75z2wsvvKCgoCBZlqUzZ85IkkaMGKHRo0dr//79sixLERER5XXJSqS8x1bS6+zu9Vu3bp0cDoemTZtWrtdL+s/cMcaoZ8+eV20THx+vW265RQsWLND69euv2V9JfgdJSUkKCgpSYGCgVq1apUceeUQOh0ONGjXSkiVLXPrLz8/XpEmT1KRJEwUEBOj2229XcnKyW2P2tPGU1rFjxxQQEKCwsDDntvDw8CJFr8L1GsLDw12216xZU507d9asWbNkjCn/wFeRn5+v//3f/9XgwYOLLZQBAADcUAwAAABslZycbMrjz7JmzZqZ6tWrX3V/RkaGkWQaN27s3DZx4kQjyQwfPty8/fbb5tFHHzX/93//ZyZNmmR8fX3NBx98YC5cuGB27txp7rjjDlO7dm1z8uRJ5/GxsbEmKCjI7N6921y+fNns2rXLdOjQwYSEhJjDhw8725W0v8cff9zUq1fPJXdCQoKRZE6fPu3c1qdPH9OsWTO3rldx+vbta/r27VuqYypibCW9zu6cY/Xq1SYkJMRMmTKlVOO/nvkcHh5uWrVqVey+Zs2amQMHDhhjjNmyZYvx8vIyN998s8nKyjLGGLN27VrTq1cvl2NK+jsonO9ffvmlSU9PN6dOnTL33HOPCQoKMjk5Oc52L7/8svHz8zPLli0z58+fNxMmTDBeXl7mX//6V6nG6YnjKXTnnXeatm3blqjtxYsXTUhIiImLi3PZvmHDBuPj42Nmz55tMjIyzHfffWdatmxpHn744WL7GT9+vJFkvv322xLnLOv325UrVxrLsswPP/xQZn0CAABUUSnc2QAAAHCDCgkJkWVZyszMLLJv+vTpevHFF7V8+XI1bdpUM2fO1KOPPqqBAweqevXqatOmjebOnaszZ85o3rx5Lsd6e3s7v4HdqlUrJSUlKTMzUwsXLpT0n/UBStNfVVKRY/u16+yu7t27KyMjQ6+99lqZ9Hc1Fy9e1IEDB0q0sG7Hjh01cuRIHTx4UOPGjSu2zfX8DiIjI+VwOFSnTh3FxMTo4sWLOnz4sCTp8uXLSkpKUlRUlPr06aMaNWro1VdflY+Pj9vX2tPGU1Kvv/66GjRooPj4eJftnTt31tixYxUXFyeHw6HWrVsrMzNTCxYsKLaf5s2bS5LS0tLKPfPVvPvuu+rataszCwAAwI2MYgMAAMAN6uLFizLGyOFwXLPdrl27lJWVpfbt27ts79Chg3x9fYs8IumX2rdvr8DAQOcjX9ztrzKzc2y/vM5VxalTp2SMUWBgYInax8fHq0WLFpozZ442b95cZL+7vwNfX19JUm5uriRpz549unTpklq3bu1sExAQoPr165fJtfa08fyaFStWKCUlRZ999lmRhcAnTpyoefPm6csvv1RWVpZ+/PFHRUZGqmPHji4LSRcqnDM//fRTuecuzqFDh/T5558rNjbWlvMDAABUNhQbAAAAblA//PCDJOnWW2+9ZrsLFy5IkoKDg4vsq1GjRrF3RvySn5+fTp8+XWb9VVZ2j+3n17mquHz5siRdc4Hhn/P399fChQtlWZYGDx6s7Oxsl/1l/Tu4ePGiJOnVV1+VZVnOn0OHDrksbny9PG0817J06VJNnz5dGzZs0M033+yy78SJE5oxY4aee+45PfDAAwoKClJYWJjmz5+v48ePKyEhoUh/AQEBkv47hyra3LlzVbduXf3+97+35fwAAACVDcUGAACAG9S6deskSY888sg129WoUUOSiv1Q88KFC2rUqNE1j8/NzXVp525/lZmdY/vlda4qCj8wzs/PL/ExHTt21KhRo7R3715NnTrVZV9Z/w7q1KkjSUpMTJQxxuVn69atperrajxtPMV5++23tWjRIn311Ve66aabiuzfu3ev8vPzi+xzOBwKDQ3Vrl27ihyTk5Mj6b9zqCLl5ORo4cKFeu655+Tj41Ph5wcAAKiMKDYAAADcgE6ePKnExEQ1atRIgwcPvmbb1q1bKzg4WP/+979dtn/zzTfKycnRb3/722sev2HDBhljdNddd5W6P29vb+fjX6oCO8f2y+tcHucoD3Xr1pVlWUpPTy/VcVOnTtWtt96qb7/91mW7u/P1lxo3bix/f39t3769VMeVlqeNp5AxRmPHjlVaWppWrlxZ7B0akpxFkxMnTrhsz8zM1Llz59S4ceMixxTOmXr16pVx6l+3fPlynT17VkOGDKnwcwMAAFRWFBsAAAA8mDFGWVlZKigokDFGp0+fVnJysjp16qRq1app5cqVv7pmg7+/v0aPHq0VK1Zo0aJFysjIUFpamoYNG6YGDRoUeV55QUGBzp8/r7y8PO3cuVMjRoxQkyZNNGjQoFL3FxERoXPnzmnlypXKzc3V6dOndejQoSIZQ0NDdfz4cR08eFCZmZm2fcBekWP7tevs7jnWrl0rh8OhadOmlf2F+pnAwECFh4fr6NGjpTqu8PFD1apVK7K9NPO1JOd5+umntWTJEiUlJSkjI0P5+fk6evSo84PxmJgY1atXT9u2bStV3548nkK7d+/Wm2++qfnz58vHx8fl0U2WZemtt96SJIWFhen+++/X/PnztWnTJmVnZ+vIkSPO8T3zzDNF+i6cM23atHE7Z2nNnTtXPXr0qHJ3EgEAAJQrAwAAAFslJyebsvyz7OOPPza33367CQwMNL6+vsbLy8tIMpZlmRo1apj/+Z//MVOmTDFnz551OW7GjBkmICDASDKNGzc2H3zwgXNfQUGBSUhIMM2bNzc+Pj6mZs2aJioqyuzZs8elj9jYWOPj42MaNmxovL29jcPhML179zb79+93aVfS/s6ePWvuv/9+4+/vb8LCwsxLL71kxowZYySZiIgIc/jwYWOMMdu2bTNNmzY1AQEB5u677zYnT54sk2vZt29f07dv31IdUxFjK+l1ducca9asMSEhISY+Pr5U47+e+RwXF2d8fHzMpUuXnNtWrFhhmjVrZiSZ2rVrmxdffLHYY8eMGWN69erlsq0kv4M5c+aYwMBAI8k0b97c7N+/38ybN884HA4jyTRt2tT88MMPxhhjrly5YsaOHWuaNGlivL29TZ06dUyfPn3Mrl27jDHGREVFGUlm0qRJVx2jp43HGGO2bt1qOnXqZBo0aGAkGUmmfv36JjIy0mzcuNEYY0xaWppzX3E/CQkJzv7OnDljRowYYSIiIoyfn58JDg42nTp1Mh999FGx5+/evbtp2LChKSgouGbOnyuL99vdu3cby7LMZ5995lY/AAAAHibFMsaYCqtsAAAAoIiUlBT1799fnvBn2dChQ5WamqqzZ8/aHaVMREdHS5JSU1NtTuKqMl/n65nP+/btU8uWLbVw4UINHDiwHNOVj4KCAt13330aNGjQrz6WrCqoCuM5e/asGjVqpPj4eI0ePbrEx5XF+21cXJw+/fRT7d27V15ePCwAAADg/0vlLyMAAACUqdIs9Ivr50nXOSIiQlOmTNGUKVOUlZVld5xSyc/P18qVK5WZmamYmBi747itqoxn8uTJateuneLi4ir0vNnZ2Vq0aJGGDh1KoQEAAOAX+OsIAAAAgO3Gjx+v6OhoxcTElHqxaDtt2LBBy5cv19q1axUYGGh3HLdVhfHMnDlT27dv15o1a+Tj41Oh5168eLEuXryop556qkLPCwAAUBVQbAAAAECZmDBhghYuXKj09HSFhYVp2bJldkfySJ58nadNm6a4uDi98cYbdkcpsS5duujDDz9U/fr17Y5SJir7eFatWqUrV65ow4YNqlmzZoWff+7cuYqOjlbdunUr/NwAAACVHWs2AAAA2MyT1mzwNJV1zYbKjPmMysyd+bl9+3b95je/0T/+8Q/dfffd5ZAOAACgSmPNBgAAAAAAfs0777yjVq1aqVOnTnZHAQAAqJQoNgAAAAAAcA3p6elaunSpnn/+eVmWZXccAACASoliAwAAAAAA1/C3v/1NlmVp4MCBdkcBAACotCg2AAAAAABwDfPmzdNjjz2m6tWr2x0FAACg0vK2OwAAAAD+o3AxYlQe//znPyXxuymNo0ePSiq/a2aMUU5Ojvz8/Mqlf3i2wvlZGps2bdJ3332n999/v+wDAQAAeBDLGGPsDgEAAHAj27p1q2bOnGl3DKBKSEtL04kTJ9S5c2cKDrhuqampJW4bExOjAwcO6JtvvinHRAAAAFVeKsUGAAAAAFXGsWPHdO+99yo4OFh///vfFRoaanckeLADBw7olltu0QcffKCYmBi74wAAAFRmqazZAAAAAKDKaNiwof7+978rPT1d3bp1U2Zmpt2R4MHeeustNW7cWH379rU7CgAAQKVHsQEAAABAldKkSRN98cUXOnTokHr16qXs7Gy7I8EDnTp1SgsXLtTo0aPl7c1yhwAAAL+GYgMAAACAKqd58+b6/PPPtWPHDvXu3VtXrlyxOxI8zDvvvKPAwEANGjTI7igAAABVAsUGAAAAAFVSmzZttGbNGm3dulUDBgxQXl6e3ZHgIbKyspSUlKSXXnpJQUFBdscBAACoEig2AAAAAKiy7rzzTq1du1aff/65Bg8erIKCArsjwQMkJiYqNzdXL774ot1RAAAAqgyKDQAAAACqtE6dOumjjz5SSkqKXnrpJbvjoIo7c+aM3nrrLY0ZM0a1atWyOw4AAECVwSpXAAAAAKq8hx56SEuXLlV0dLR8fX2VmJhodyRUUVOnTlVQUJBGjhxpdxQAAIAqhWIDAAAAAI/Qu3dvLVy4UE899ZRq1aqlV1991e5IqGIOHDigd999V3/+859ZqwEAAKCUKDYAAAAA8BgDBw5UTk6OhgwZIj8/P40ZM8buSKhCJk6cqKZNm2rw4MF2RwEAAKhyKDYAAAAA8CiDBw9WZmamRo4cKYfDodjYWLsjoQrYsmWLkpOTlZKSIh8fH7vjAAAAVDkUGwAAAAB4nOHDh+v8+fN6/vnnFRISoscee8zuSKjE8vLy9MILL6hLly7q06eP3XEAAACqJIoNAAAAADzS5MmTlZ2drSeffFI+Pj6Kjo62OxIqqcTERP3f//2fli5dancUAACAKotiAwAAAACPNX36dGVkZGjgwIEKCgpSt27d7I6ESubIkSOaMmWKJkyYoBYtWtgdBwAAoMqyjDHG7hAAAAAAUF6MMXr22We1ePFirV27Vp07d7Y7EiqR3r17a/fu3dq5c6f8/f3tjgMAAFBVpXJnAwAAAACPZlmW3n33XWVmZqpnz55av369OnToYHcsVALLli3Txx9/rC+++IJCAwAAgJu4swEAAADADSEnJ0ePPvqovv76a3311Vf6zW9+Y3ck2OjUqVNq06aNoqKiNHfuXLvjAAAAVHWpFBsAAAAA3DCys7PVrVs37d69Wxs3btStt95qdyTYpEePHtq1a5d27NihkJAQu+MAAABUdaledicAAAAAgIoSEBCg1atXq3nz5nrooYd04MABuyPBBvPnz9eaNWu0cOFCCg0AAABlhDsbAAAAANxwLly4oC5duig9PV2bNm3STTfdZHckVJADBw6obdu2ev755zV9+nS74wAAAHgKHqMEAAAA4MZ0+vRpde7cWQUFBdq4caPq1atndySUs9zcXN13333KzMzUv/71L/n5+dkdCQAAwFPwGCUAAAAAN6Y6deroiy++UE5Ojh5++GGdP3/e7kgoZ6+88op27NihpUuXUmgAAAAoYxQbAAAAANywGjZsqC+++EKnT59Wt27dlJWVZXcklJOPP/5Yf/7zn5WUlKRWrVrZHQcAAMDj8BglAAAAADe8H374Qffee69at26t1atXy9/f3+5IKEP79u1T+/btNWDAAP3lL3+xOw4AAIAnYs0GAAAAAJCkHTt26IEHHlCHDh20atUqHrPjIS5fvqyOHTvKy8tLX3/9NYUkAACA8sGaDQAAAAAgSW3bttWnn36qLVu26LHHHlNeXp7dkeAmY4yGDBm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\n",
            "text/plain": [
              "<IPython.core.display.Image object>"
            ]
          },
          "metadata": {},
          "execution_count": 37
        }
      ],
      "source": [
        "sample_decoder_layer = decoder_layer(\n",
        "    units=512, d_model=128, num_heads=4, dropout=0.3, name=\"sample_decoder_layer\"\n",
        ")\n",
        "\n",
        "tf.keras.utils.plot_model(\n",
        "    sample_decoder_layer, to_file=\"decoder_layer.png\", show_shapes=True\n",
        ")"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "NPSKnjS-gE_q",
        "pycharm": {
          "name": "#%% md\n"
        }
      },
      "source": [
        "### Decoder\n",
        "\n",
        "The Decoder consists of:\n",
        "1.   Output Embedding\n",
        "2.   Positional Encoding\n",
        "3.   N decoder layers\n",
        "\n",
        "The target is put through an embedding which is summed with the positional encoding. The output of this summation is the input to the decoder layers. The output of the decoder is the input to the final linear layer."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 38,
      "metadata": {
        "id": "dYRx7YzCW4bu",
        "pycharm": {
          "name": "#%%\n"
        }
      },
      "outputs": [],
      "source": [
        "def decoder(vocab_size, num_layers, units, d_model, num_heads, dropout, name=\"decoder\"):\n",
        "    inputs = tf.keras.Input(shape=(None,), name=\"inputs\")\n",
        "    enc_outputs = tf.keras.Input(shape=(None, d_model), name=\"encoder_outputs\")\n",
        "    look_ahead_mask = tf.keras.Input(shape=(1, None, None), name=\"look_ahead_mask\")\n",
        "    padding_mask = tf.keras.Input(shape=(1, 1, None), name=\"padding_mask\")\n",
        "\n",
        "    embeddings = tf.keras.layers.Embedding(vocab_size, d_model)(inputs)\n",
        "    embeddings *= tf.keras.layers.Lambda(\n",
        "        lambda d_model: tf.math.sqrt(tf.cast(d_model, tf.float32))\n",
        "    )(d_model)\n",
        "    embeddings = PositionalEncoding(vocab_size, d_model)(embeddings)\n",
        "\n",
        "    outputs = tf.keras.layers.Dropout(rate=dropout)(embeddings)\n",
        "\n",
        "    for i in range(num_layers):\n",
        "        outputs = decoder_layer(\n",
        "            units=units,\n",
        "            d_model=d_model,\n",
        "            num_heads=num_heads,\n",
        "            dropout=dropout,\n",
        "            name=\"decoder_layer_{}\".format(i),\n",
        "        )(inputs=[outputs, enc_outputs, look_ahead_mask, padding_mask])\n",
        "\n",
        "    return tf.keras.Model(\n",
        "        inputs=[inputs, enc_outputs, look_ahead_mask, padding_mask],\n",
        "        outputs=outputs,\n",
        "        name=name,\n",
        "    )"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 39,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 564
        },
        "id": "tUdK8jb9hlTZ",
        "outputId": "1f188f5b-554d-4cb3-db45-b491066ae900",
        "pycharm": {
          "name": "#%%\n"
        }
      },
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "image/png": 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R3t5+xYoVeJWLi0tdXV1cXByXy62uri4uLhb9oIWFRUVFRVFRUXNzs9j7jcvlvn37NiUlBacze3t7hBCHw+no6MjLy+v9FPqaNWs6OzsTExODgoKEC5lM5sqVK8+fP3/s2LGmpiYej1dWVib6NUkeTCZz8+bNly5dOnv2bFNT07Nnz9asWWNjYxMeHo7f0N/jqaxTk5SUpOrZ6FksFpvNLisrk/pO3M0YD8AhXCL5uEneWl+XR1hYmJWVVWZmpux7QebYsOfPn+/fv//kyZMMBoMm4ttvv0UIOTk5+fr6njx5MjU1tb29vbS0FMcpfFQBw6dpzJgx/f3p2gkypOpobc7UjIQppGHJVm2xYRqTkAUCQUtLC5/PFwgE1dXVMTExHh4eurq6cXFxfY2NKMuB7eumVnr2UDrtyW+akdDIHBsGLUDNAK1KOWhPOu1BM7KrkKY2NTElZ1fRTo8yTmeuiPv3748aNUpHRwchZG1tvWfPnqNHj+LhHocMGZKfn3/ixAncmHNwcHj16pVAIAgPD2cwGLa2tnQ63cTEZN68efn5+cIN1tbW+vr6MplMJyenTz75ZOvWrQghFxcXPCd6Zmamg4ODgYGBp6fnjz/+KGEWoUuXLuENbtu2zcLCwszMLDQ09IcffkAIOTs7C2dYFwgEY8eO3b59e4/96uzs3LZtm729PZ1OHzRo0IIFC3JycqKionCv0cGDB585c0alBxZDMkzTzufzDxw4MGTIEAaDYW5uHhwcnJubK1wr+/GsrKxU1qmprKy8evWqsbFxZGSkLLsZEhISEhIi9W29J6Rfv349g8Foa2vDLy9duoQviYEDB65bt67Hx7du3So6+bqE4yb1GhZ7eQgEguDgYITQzp07ewdP5tgEAkF6erqHh4eNjQ2+faytrd3d3W/fvi0QCPqa/unAgQP4szU1NRs3bnRxcdHX1zcyMvLw8Pjzzz97bH/OnDm2trb4lz1MxgnpZbw2ZCHL3aR0kCHVScarheo5U8ZvdkonTIHEpCT5s2TeL8Jjw+ROyEpsVSqS2+Pj4999910Wi6Wnp4ezK41GMzMzmzRpUkRERG1trfCdYpOS5Awg+aZWYvaQY8ehTSiKQgmNzLEJiGgBiqXE9h7ZKLH9Ca1KpZDxu0wD0qks157WNhcV+SzhxwSTuzknEHdtqLuMKIfw8HALCwuio/g/s2fPLigoIDoK8ZT4xSMLok6N3GXEvLw8Op1OSMFCLB6P5+Xldfr0aaIDEYPA2GpqaphM5rfffiu6UEvKiHKADCk39f8SQsjJkruMqEkJE5Kt3BRJyCQpI6oU2TKwKGgTitKkhKZqZGsBikXanKA4YtufZMtpZGhVqr9CQtRZkK+MqEnZVVObmgLFmnMCcdcGNR5qljpsp6oJO2Y/ffoU1/6JjYc8CD81krW3tycnJ+fl5eEhRV1cXCIiIiIiIlpaWogODfF4vLi4uObm5rCwMKJj6YnY2Hbt2uXm5rZ+/XqEkEAgqKiouHPnzuvXr9UfCVUQfhtChpQd4SdLAk1NmJBsFQEJWSoy39RqRuZDoTEJTdXI0wIERCH8RoZWJSLBWZAAmovK/ax6KL05R40yIuG2bduWl5f36tWrlStXik6mA0iurq4uICBg6NChwtHTt2/fHhoaGhYWJstYsCqVkpJy8eLFpKQk3DmZVAiM7eDBg9nZ2VevXmUwGAihy5cv29raenl5XblyRc2RANlBhtQMmpowIdnKDRIy0CSakdBUjTwtQKC1oFVJctBcVO5n1UAlzTnRrokkfKh5+/btenp6CCFHR8fY2FiiwtixY4eOjs7gwYPj4+OJikEWSI3d4Ak8NYo/yJCcnLxt2zZlxQOUJS4ubu/evd3d3XJvQdseaoYMqQg1PxJF1MlS/JsdEqZ2Ujwha/xDzSTJwH2BNqFYkNDIqb8Jh5w5QSkIbH+SJKeRrVWp5goJgWdBwWsPsis5Kd6cE4i7Nmh4KXbhwoVFixaJLgHUQqPRYmJiFi5cSHQgqhUaGooQio2NJToQQDpKvDa05G7SZlqSSeCbHRBFideeltytyqUl32JwbWgnDT7vWnLnUoj2tKPg2gN96X1twEPNAAAAAAAAAAAAAAAAKaCMCAAAAAAAAAAAAAAAkALKiAAAAAAAAAAAAAAAACnoRAcAAADKlJOTs2PHDmdnZzab7ezsbGtrq6MDfy8BAAAAAAAAAAAUJaaMiMesBRR16NAhjRxvWNT9+/cRXKhK1dzc/PbtWysrK2NjY6JjUcj9+/fpdHpCQkJ+fn5bWxtCSF9f38nJSVhVxJycnJhMptStacPdpM36m0lqa2sHDBigyohUoqysDEHClIbP5798+dLS0nLAgAE0Go3ocDQEvvaU5f79+3AZ95c2fItBm1A73b9/f8qUKURHoSqUvnN5PF59fX11dbW9vb2hoSHR4SiBVrWjKH3tAXX6r5ma09PTDx48SGA0AABClJeXP3r0iMvlslgsKysrS0tLS0tLfX19ouOSx9SpUzdt2oQQqqyszM/Pz8/PLygoEP7n7du3CCEajfbOO++w2Ww2m+3k5MT+DxsbG+F2tKS5AGTR0dHx8OHDmpqaWbNmyVKABpTT0tKSlpbW2trKYDAsLS2trKysrKw04/cfwinlF5KDBw+mp6crvh1AIa9fv37z5o2XlxfRgQCSErb3NAwV259dXV21tbU1NTU1NTX19fV8Pp/FYk2YMMHS0pLo0ECfcnNzDQ0N7ezsiA4EUMOmTZumTp0qfEnThsnLAQBS8Xi87OxsDofD4XBSU1O7u7vHjh3r5+fn5+fn5eVF0ZJiby0tLbiqWFBQUFBQUFhYWFBQUFRU1NnZiRBiMplsEcIKI4vFIjpwQJgbN24sW7ZMT0/v999/d3d3JzocoEIFBQU4B167dq2xsZHNZuMcOGPGDFNTU6KjA0C7hIWFtbS0JCYmEh0IAECMN2/e3Llz586dO3fv3s3KyuLz+Ww228PDw9PT08PDY9SoUUQHCKQIDg6m0WiXLl0iOhBASVBGBAD01Nramp6ejn+dfvz4MYvFcnd3x79Ojxs3TiOf+Kuvry/opaioiM/nI4TMzc3ZvTg4OOjq6hIdOFCh7u7uyMjI3bt3z58//8SJE+bm5kRHBNSku7v7yZMnCQkJiYmJWVlZOjo6rq6ugYGBQUFBY8eOheFWAVADR0fHDz/88KuvviI6EADA/yooKMB1wzt37jx//pxOp7u6uuLSoa+v78CBA4kOEPTDoUOHIiMjq6uroVUD5ABlRACAJG/evLl+/XpiYuKNGzfq6uqsrKymTZvm5+c3Z84cW1tboqNTrc7OzvLy8h61xVevXjU3NyOE9PT07OzsetQWXVxcoNeSZigqKlq8eHF2dvY333yzYcMGosMBhKmurk5JSeFwOFeuXCkvLx80aJCPj4+W5EAAiFJVVWVlZXXt2jV/f3+iYwFAe+E/quHS4a1bt2pqagwNDd3c3HCXw2nTpkGjl7oeP348YcKEv//+G7qOAjlAGREAIBM+n5+VlYW7KKalpXV2drLZbNw9x9PTU6sGjBPbdbG4uJjH46E+ui7a29vT6WKmtALkdO7cuTVr1ri4uJw/f37YsGFEhwPIoqCgAHdR7JEDNWnkBwDIIC4ubv78+bW1tdANHAA1a21tzcrKwl0O09LSGhsbLS0tJ02ahEuHkyZN0tPTIzpGoAQ8Hm/gwIF79uxZu3Yt0bEA6oEyIgCg39ra2u7du4dLipmZmUwm08PDQ7Ofepaqq6urrKysR20xLy+vqakJIcRgMAYPHty7vAi/IJFNR0fHxo0bT5w4sX79+qioKKgNAbFEc2CPkR/Gjx9PdHQAUN727dvj4+NzcnKIDgQArVBVVZWRkYFLhw8fPuzq6rKxscF1Q09PT61t22u8OXPmGBsbR0dHEx0IoB4oIwIAFFJSUnL9+vVr167duHGjtrbWxsbG399/xowZM2bMGDRoENHREU9y10UmkymcM1po5MiRBgYGRAeujUpKShYuXPjixYtTp05RcapEQAjhyA8cDqe+vt7Jycnf39/Pz8/f39/MzIzo6ACgpOnTpzs6Ov78889EBwKAxqqoqMB1w7t372ZmZtJotOHDh+PSobe3t4ODA9EBApWLioo6cuRIeXk50YEA6oEyIgBAOfh8fmZmJi4p3rt3r7u7e+LEibNnz541a9b48eNh+F5RXC63tLS0R20xPz+/oaEBv0Hsk9FOTk7w12DVSUhI+Oc//+ng4BAbG+vi4kJ0OIB6ROe7v337Np/Pd3Nzw10UfXx8YFgDAGTE5/PNzc33798fHh5OdCwAaJSCggIOh4OfVi4qKhKdI+W9996zsLAgOkCgVqmpqd7e3sXFxfb29kTHAigGyogAAOXDT/wlJCTExcWVlJQMHDjQ19cXDyIGj/FK0LvrYkVFRWFhYXt7O+qj6+Lw4cMNDQ2JDpzahDMyL1my5Pjx4ywWi+iIAOXV1tbevHmTw+H89ddfJSUlAwYMmD59up+fX0BAADTWAZDs6dOnrq6u2dnZrq6uRMcCALWJzpGCJ0s0MjKaMmUKLh1q2+DmoIe2tjZTU9Nz584tXLiQ6FgAxUAZEQCgWsJJCVJTU3k8npubG64nwkgrshP7ZHRBQQFeK7broqOjI/QAlUV5efmiRYuys7N//PHHZcuWER0O0EC49wcuKTY3N7PZbNxFcdasWUZGRkRHBwDpnDx58tNPP21oaIA+vADIoaWl5f79+7h0eOfOnY6ODmtr6wkTJnh6evr5+Y0dOxbah0Bo3Lhxvr6+3333HdGBAIqBMiIAQE1aW1tv3ryZmJh45cqV8vJyS0vLmTNnBgUFwQhi8uno6KioqOhRWHzx4kVbWxtCSF9f39bWtkdtcejQocbGxkQHTiJpaWmhoaEWFhaxsbGjRo0iOhyg4drb2+/evQuTUwEg2apVq16/fp2SkkJ0IABQRmVl5cOHD3Hd8MGDB1wul81m4y6HHh4e0MIBfVm7du2TJ0/u3r1LdCCAYqCMCAAgQE5ODp6RQDiCGHRRVBaxXRcLCwtxthfbddHBwUFXV5fowNXtxIkTn3zyyYwZM86ePWtqakp0OEC7vH37NjU1lcPhJCQkvHnzxsrKatq0aYGBgYGBgTA6FdByo0ePDgwM3LdvH9GBAEBqBQUFwi6HL1680NHRGTZsGK4b+vr6Dh48mOgAAQX8+uuv4eHhjY2N+vr6RMcCqATKiAAAIglHEBP+Lj1jxoygoKCZM2eamJgQHZ3maG1t7VFVxP92dHQghJhMplMvjo6OmjqQZWdn57p1606fPv3ZZ5/t3bsXnu4BBOLz+VlZWbiLYmpqand399ixY3EXxWnTpunp6REdIABq1dzcbG5uHhsbGxwcTHQsAJALj8d7+fIlrhumpKSUlpayWKyxY8fi0qGXlxc83AP6Kzc3d/jw4Q8ePJg4cSLRsQAqgTIiAIAUhL9LJyQkpKen6+joTJ48OSgoyM/Pb/z48URHp5kEAgGewkW0tlhUVFRRUcHn8xFCZmZmolVF4f8NDAyIjl1+FRUVCxYsyMnJ+e233+bNm0d0OAD8n9bW1vT09ISEhPj4+KKiIkNDw6lTpwYGBr7//vuOjo5ERweAOty4ccPPz6+srMzW1pboWAAgXltbW2ZmJi4d3rlzp6GhwcTEZNKkSfiBZS8vL+hEBhQhEAiy9jLFAAAgAElEQVTMzc337du3evVqomMBVAJlRAAA6bx9+zYpKenq1avXr19vaGhwcXGZNWvWnDlzfHx8oLWkBl1dXWVlZcKpot+8eSP1yWgbGxs2m03+8uLdu3dDQ0ONjY3//PPPkSNHEh0OAH0STsySnJzc1NQknJgFemoDzbZnz56ffvqppKSE6EAAIExTU9ODBw/wA8tpaWmdnZ02Nja4y6GnpyfMkQKUy9vbe8SIEcePHyc6EEAlUEYEAJAXj8fLzs7GEz1nZmYaGBhMnz49KCjo/ffft7KyIjo6rSN2UpfXr183NjbiN5B8zuhTp059/PHHAQEBZ86cgUIMoIru7u4nT57gNJiVlaWjo+Pq6gqDyQJNNXfuXCaTeeHCBaIDAUCtKioqcJfDu3fvZmVl8fl84Rwp/v7+Tk5ORAcINNbGjRvT09MzMjKIDgRQCZQRAQDUUFJS8tdffyUkJFy7do3H402ZMiUoKGjevHnDhg0jOjRtJ5zURbTr4suXL1tbWxFCenp6dnZ2PbouvvPOO2w2W20R8vn8zz///Ntvv92xY0dERARUXgBFVVdXp6SkcDgcPN/9oEGDfHx8/Pz85syZA0+AAs1gbW29devWzZs3Ex0IAConnCPl+vXrhYWFdDrd1dUVlw6nT58+YMAAogMEWuGXX375+OOPm5qa6HQ60bEAyoAyIgCAYlpbW2/evBkbG5uQkNDQ0MBmswMDA0NDQz08PKA8RCpi54wuLi7m8XgIISaTiYuJooYMGaL0foIdHR0rV668dOnSyZMnly9frtyNA0CUgoIC3EURP/I2cuRIPJgsDJUFqKugoMDZ2TktLc3T05PoWABQPty7HJcOb926VVNTY2ho6Obm5unp6efn5+HhQf7BYYDmyc7OHjt2bE5ODoz2A2QHZUQAAFXxeLz09PTExMRLly7l5eUNGjQoICAgNDR0xowZ8Fs0aXG53NLS0h5dFyUMvIi7Lo4YMYLFYsnx4yorK+fOnZufn3/x4kUfHx8l7wwAJNDW1nbv3j08kOLjx49ZLJa7uzseSBHmpwLUcv78+X/+858NDQ3yJXwASKi1tTUrK+vu3bscDufu3bvt7e1WVlYTJ07EYx1OmjRJT0+P6BiBVuvq6jI2Nv7555+XLFlCdCyAMqCMCADQBDk5OYmJiQkJCffu3RMOoThv3jxLS0uiQwMy6ezsLC8v79F1MT8/v6GhAb9B7MCLDg4Ourq6fW3z77//DgwMpNPpV65cgYffgTYoLCy8fv06h8PB81MJJ2bx9/c3MzMjOjoApNi4ceOdO3cePXpEdCAAKOTt27cPHjzAYx0+fPiwq6sLz5GCuxyOHDkSnp4BpDJ27Fh/f//9+/cTHQigDCgjAgA0itghFIODg4cOHUp0aEAe+MnoHl0X+xp4UTjqopOTU3Jy8qJFi8aOHXvp0iULCwui9wMAtcLzU+EuiikpKQKBwM3NDZcUfXx8YPwjQE5TpkyZMGHCDz/8QHQgAPQbniOFw+HcuXPnxYsXOjo6w4YNw10OfXx87O3tiQ4QgD4tXbq0oaEhMTGR6EAAZUAZEQCgmXoMoYgHDgsMDIQhFDWD2IEXS0pKuru7EUIMBqO7u9va2nrOnDkuLi6qG3gRAPKrra29efMmh8NJSkoqLS0dMGDA9OnT/fz8Zs2aNXjwYKKjA+B/dXZ2mpqanjx5ctmyZUTHAoB0PB7v5cuXuMthampqcXExg8F49913cZdDT09Pc3NzomMEQCaRkZH/7//9v9evXxMdCKAMKCMCADQcHkIxNjb2zz//LC0ttbS0nDlzJgyhqJHwwItHjhw5cuSIu7v7qFGjcHmxqKiIz+ej/34yWth1Ue6BFwGgnIKCAtxFMSkpqaWlBT/1HBgY6O/vz2QyiY4OaLWMjIwpU6bk5ubC0wOAtLhc7tOnT3GXw7t379bX1xsbG0+ePBnXDT09PSGRAir6448/Fi1a1NLSApP8ABlBGREAoC0EAkFmZmZ8fHx8fHx2draJiUlAQMC8efPmzJkDndQ0g0Ag+PrrryMiIqKiorZu3SpcroqBFwGgtPb2dvz8HYfDyczMZDKZHh4e+KnncePGQZdtoH7/8z//ExERUVNTA5cfIJXm5uaMjAxcN7xz505HRwce6BCXDseOHaujo0N0jAAoJCcnZ/To0U+ePHn33XeJjgVQA5QRAQDaqLi4+PLly/Hx8bdv39bV1fX391+wYMHcuXNhED3q4vF4a9as+fnnn0+cOPHBBx/I8pG6urrCwsKioqJCEUVFRR0dHQghPT09BwcHJycnR0dH/C9mbW2t0h0BQM3evn2bmpqakJBw5cqVuro6KyuradOmBQYGBgYGQkoEarN48eKGhoarV68SHQgA6M2bN48ePcJ/a8nKyuLz+Ww2G9cNPTw8Ro0aRXSAAChTV1eXoaHhuXPnFi5cSHQsgBqgjAgA0Gr19fUJCQmJiYlXr17t6OiYMmVKaGjowoULbWxsiA4N9ENnZ+fSpUuvXr164cKFOXPmKLi1iooKYUlR+J+ysjIul4sQYjKZolVFIZgWHFAdn8/PysrCXRRTU1N5PJ5wYhZvb28Gg0F0gECTOTs7L1++/N///jfRgQAtVVBQIOxy+Pz5c11dXTc3N1w69PHxGTRoENEBAqBCQ4cOXbp06c6dO4kOBFADlBEBAAAhhNra2m7cuBEbGxsXF9fa2jp16tSgoKCQkBBnZ2eiQwNStLS0BAYGPn36NDEx0d3dXXU/SPK8Lvr6+ra2tmKnjYZn9ADltLa2pqenJyQkxMfHFxUVGRkZTZkyJTAwcN68eQ4ODkRHBzRNdXW1paVlUlJSQEAA0bEAbSGcIwXPaF9dXW1oaOjm5oa7HE6bNs3U1JToGAFQk/fff5/FYp0/f57oQAA1QBkRAAD+S0dHx/Xr12NjY+Pj4xsbG0eOHBkaGvqPf/xj2LBhRIcGxGhpaZk9e/arV684HM7o0aMJiUFsebG4uJjH46Fe5UXRCiMh0QLQX8KJWZKTk5uamvDELH5+fjNnzoSBZYFSJCQkvP/++9XV1QMGDCA6FqDJ2traMjMzcZfDtLS0xsZGExOTSZMm4emVJ02apKenR3SMABDg008/TU9Pv3//PtGBAGqAMiIAAIjX2dnJ4XAuXbp0+fLl2tpaNze30NDQ0NDQIUOGEB0a+F9tbW1z5sx5/vz5zZs3yTZWEZ42uqKi4s2bN2LLi0wmExcTe1cYiY4dAPG6u7vv37+fmJiIJ2bR1dWdPHlyUFAQTMwCFPTll1/+8ccfL1++JDoQoIGampoePHiAp1d+9OhRZ2en6BwpkLsAQAgdPnw4KirqzZs3RAcCqAHKiAAAIEV3d3dKSsrFixcvXbpUVVU1duxYPH4iPO9MrLa2tsDAwJycnBs3bhDVD1EOXV1dZWVlBQUFPSqMRUVFfD4f9VFedHZ2NjMzIzp2AP5PdXV1SkoKh8O5cuVKeXm5paWlt7e3n59fYGAglMJBf/n5+dna2v76669EBwI0REVFBe5yePfu3czMTIFAgLtR46eVHR0diQ4QAHKJi4ubP39+a2urgYEB0bEACoAyIgAAyIrP59+7dy82NvbChQuVlZX4eefFixcPHTqU6NC0DkVriBIIy4s9KozC8qK5ubnwaWghFxcXGLwJEC4nJwd3UUxLS+vs7Bw5ciTuoujl5aWvr090dIDs+Hy+hYXF3r17165dS3QsgMLw8Av4aeWioiI6ne7q6oq7HL733nsw7zwAEmRlZY0bNy43Nxd+qQGygDIiAAD0G4/HS09Pj42NjYmJefv2La4nLlmyBJ53Vg/NqyFK0NnZWV5eLuy0KKwwFhYW4m9wc3Nz0fEWsSFDhsCgdUD92tra7t27hwdSfPz4MYvFcnd3xwMpjh8/nujoAEnl5OSMHj368ePH48aNIzoWQCXd3d1PnjzBXQ5v3rxZW1uLJ4PCpUMPDw/oVwWAjOrq6gYMGHDt2jV/f3+iYwEUAGVEAACQn7CeGB0dXVVVheuJS5cudXFxITo0jdXV1TV79uxnz55pQw1Rgh7lRWGFsUd5sUeFcejQocbGxkTHDrSCcGKW69evNzQ0CCdm8ff3hyf0gajTp09/8sknjY2NDAaD6FgA2bW0tNy/fx+XDu/evdve3m5tbT1hwgRcN5w8eTJcRQDIx8TE5ODBg6tWrSI6EEABUEYEAAAl4HK5HA4nNjY2Li6uoaFh8uTJYWFhCxcutLGxITo0jSIQCJYsWXLlypXbt2+7ubkRHQ4ZdXR0VFRU9Jg2GlcY8RuE5UXRCuOwYcOMjIyIjRxoKh6Pl52dzeFwEhIS0tPTaTSam5sbHkXR3d1dR0eH6AABwT766KOXL1+mpqYSHQggqbdv3z548ACPdfjgwQMul8tms4VdDkeOHAlzpACguNGjRwcHB+/evZvoQAAFQBkRAACUqauri8PhREdHX758ubW11cfHZ/HixcHBwebm5kSHpgk2b978/fffX7lyBZ656C+x5cWCgoL6+nr8BtHyorDCOHz4cENDQ2IjB5qktrb25s2bHA4nKSmptLR04MCBvr6+fn5+s2bNGjx4MNHRATVZvXp1S0vLlClTJk+e7ObmNmHChBkzZhw4cIDouACJFBQU4C6Hd+7cefHihY6OzrBhw3Dd0NfXF9IFAEo3a9YsGxubn3/+mehAAAVAGREAAFSio6Pj+vXrsbGxly5d6u7u9vf3Dw0NnT9/PvT5ktuxY8fWrVv366+/Llu2jOhYNEd7e7vohNFYfn5+Q0MDfkOP8iKuMDo5ObFYLGIjB1SHn3pOSEjgcDgdHR34qefAwEB/f38mk0l0dECFwsPDT548qaur293dzWAwdHV133vvveXLl0+ZMsXe3p7o6AAxeDzey5cvcd0wJSWltLSUxWKNHTsWlw69vLxgMAQAVGr58uV1dXWJiYlEBwIoAMqIAACgWo2NjZcvX46NjU1OTqbT6fiXpffff19PT4/o0KgkJiZm8eLFBw4c2LRpE9GxaIXa2tqi/1ZYWFhUVNTa2ooQ0tXVtbW1dXBwcHR0dHR0xP9xcHCwt7eHCxv0V3t7+927d/FAipmZmUwm08PDAw+kOG7cOHhcUfPs3bs3IiKis7NTuERPT4/L5QoEggEDBvj4+Jw7dw7m+NYGbW1tmZmZuHR49+7d+vp6Y2PjyZMn4weWYap3ANRpy5YtaWlpGRkZRAcCKADKiAAAoCb4T3xnzpy5ceOGmZlZYGBgaGjorFmz6HQ60aGRXUpKSkBAwNq1aw8ePEh0LNquurpaWFgsLi4uLi4uLCwsLi5uaWlBCOno6NjY2PSoLWLQvwzIorKyMi0tLSEh4cqVK3V1ddbW1v7+/kFBQX5+fjA0hMb4/fffly1bxufzxa7dunXr/v371RwSUJvm5uaMjAxcN0xLS+vs7LSxscFdDj09PceOHQvjpQJAiKioqOPHjxcWFhIdCKAAKCMCAIC6FRcXR0dHnz9//smTJ7a2tmFhYcuWLXN1dSU6LpIqLS0dN27c9OnTz58/D79dkFZ9fT2eyEXqw9EwczSQhXBiFg6Hc/v2bT6fjydm8fPz8/b2hslYKe3u3buenp69l9NoNCsrq7y8PBj9Q8NUVFQIuxxmZWXx+XzhHCl+fn5sNpvoAAEA6Jdfflm3bh1+6AQAyaCMCAAAhHn+/Hl0dPS5c+cKCgrGjBmzdOnSxYsX29nZER0XiXC5XF9f35qamocPH0K9iYrEjr3Ye+Zo0doim812cXExNTUlNnJAHi0tLbdu3UpMTExOTi4uLjYyMvLx8QkKCpo5c6aDgwPR0YF+Kysr62uKjD///HPevHlqjgeogugcKc+fP6fT6a6urrh06OvrO3DgQKIDBAD8l8TExKCgoNbWVhj8GkgFZUQAACDe48ePf/vtt/Pnz9fW1k6dOnX58uVhYWEmJiZEx0U8PKfKgwcPRowYQXQsQJl6zxyNa4uFhYW4ZWJubt6jtshms52dnWGUfS2HJ2bhcDjJyclNTU14YhY/P7+AgADZ/9KQmZl58+bNTZs2QQdnQvD5fCaTyeVyRRcyGAxfX9/k5GSiogIIoZcvXw4bNky+AUm7u7ufPHmCS4e3bt2qqakxNDR0c3PDXQ49PDwMDAyUHjAAQFkePHgwefLkwsJCR0dHomMBZAdlRAAAIIvOzs5r167FxsZevHiRz+f7+fktX7583rx5Wvv4XnR09OLFi2NiYkJDQ4mOBahJZ2dneXl5j9piQUFBUVERHkmNyWT2qC0KOzMSHTtQq+7u7vv37ycmJuKJWXR1dSdPnoxHUZQ6MUtkZORXX33l4eFx7tw56M9ICHt7+9LSUtElenp6L1++dHJyIiokLdfV1fXNN9/s3bs3MzNz1KhRMn6qtbU1KysLdzlMTU1tamqytLScNGkSHutw0qRJMOkWAFRRUFDg7Oz86NGj8ePHEx0LIDsoIwIAAOk0NDTEx8fjyVjMzc1DQkKWLVvm4eGhVTOW5ubmTpw4cdWqVTCtCkD/XV4UHYRRQnkR1xadnJxUeuOkpqbGxMRs27bN3t5edT8FSFZVVXX79m0Oh5OYmFhRUWFpaent7e3n5xcYGCi2vjx16tSMjAxdXV09Pb1jx47985//VH/MWs7Hx+f27dvCl7q6upGRkZ9//jmBIWmz9PT0lStXvn79WiAQHD16dPXq1RLeXFVVlZGRgUuHDx8+7OrqEp0jBWZXB4CiqqqqrKysbt++PW3aNKJjAWQHZUQAACCvgoKCc+fOnT179tWrVyNGjFi6dOmyZcv6GlJKk7S3t0+YMMHc3PzWrVta2xkTyKKrq6usrKxHbbGgoKC4uJjH46Fe5UXhg9KOjo5KeaD19OnTq1atotPpK1eu/OKLL+BRIMLl5OTgLoqpqand3d1jx47FTz1PmzYNd4xqamqysLDAlwdCiEajzZ0799SpUzBYmzqtWrXq119/7e7uRgjp6ura29u/ePFCX1+f6Li0TltbW0RExIEDB2g0Go/Ho9PpCxcuPHfuXI+3ic6RkpmZqaOjM2zYMFw69Pb2hi69AGiAlpYWY2Pjq1evzpo1i+hYANlBGREAACggIyPj7Nmz0dHRdXV177333ooVK4KDgzV4mKEtW7acOnXq6dOn0MMLyIfL5ZaWlvaePLqkpARXLvT19W1tbXtPHt3f8uLOnTujoqK6urrodLpAIFi+fPmXX34JE4+SQWtra3p6OofDSUhIeP78uaGh4dSpU/38/AwMDDZu3CjaANbT0zMyMvrll1/mzp1LYMBaZffu3Xv27Ons7EQI0Wg0Doczffp0ooPSOlevXv3Xv/5VVVWFsyJmZWVVWVnJ4/FevnwpfFq5uLhYdI6U9957z8LCgsDIAQBKx+fz6XR6bGzsggULiI4FkB2UEQEAgDJ4PN6tW7dOnDgRFxfHYrHmzp27fPny9957T8MeILp37960adNOnTq1YsUKomMBmobL5VZXV/eePFpYXtTT07Ozs+s9ebSDg4Ourm7vDS5fvvz3338Xdm1jMBjd3d0LFiyIjIwcNmyYWvcN9O3169fXrl1LTk6+detWS0sLnU7vMb+Hjo4On89fsmTJ8ePHjYyMiIpTe5w5c2bFihV8Pp/BYCxatOjMmTNER6Rd6urqtm3bdurUKXzl91jr6+v7+PHjpqYmMzMzXDf08vKaMGECdBcFQLOxWKzjx48vX76c6EAA2UEZEQAAqKeuru6PP/44fvx4VlbWsGHDwsLCVq5cqRlPFXV1dbm6ujo7OycmJhIdC9Au9fX1PWqLFRUVRUVFbW1t6D/lxd6TRy9ZsuT+/fs9NoWLifPnz4+MjBw+fDgRewPE43K5dnZ2VVVVYtfS6XRra+vff//dy8tLzYFpm7S0NDz8lrGx8evXry0tLYmOSIvExsZ+9NFHLS0top0QhXR0dCZPnrxkyZJp06aNGjUKZjMHQHsMHDhw9+7da9asIToQQHZQRgQAAArLyck5c+bMzz//XFtbO3369GXLloWEhLBYLKLjkt/+/ft37dqVk5MD83UCkuhRXsQPSufm5ra0tCCEDAwM2tvbxX4QFxODg4MjIyNHjBih3qiBeHl5eUOHDpXwBl1dXYFAsHXr1oiICJhkVnVKSkrwn76OHz8eHh5OdDjaorCw8F//+teNGzdotD5/B2QwGB9++OGPP/6o5tgAAIRzcHD45JNPtmzZQnQggOygjAgAAJTX2dl57dq1M2fOxMXFGRoa/n/27jMuirNvH/65wLLLwi7FAkgvglIEO4KKLbYEFRX0VnP/1RhRrwSxYhc7iBVLosYSNUpRg4otYoJdLIAgCCIoUlSUjvTdeV7MnX32QqXu7ixwfF/kk516zJzjlh8z5+np6fn999/379+f6VyNlpOT06VLl8WLF69Zs4bpLCQ0NJTpCKC4KIoqLCx8//69n59f3V+llJWVRSJR3759J06c2BbGR1JwV69ePX78uPgh9DoYGxv7+PgYGBjIIVUbRD9CbmJismXLllbWL4diEolEly9fDg4OrqmpqffXn56e3u7du+UTDACawNPTUxabtbGxmTRp0tq1a2WxcWhNUEYEAGg9cnJyTp48eezYsefPn9vb28+aNev777/X1tZmOldDzZkz5+rVq8nJyVwul+ksBL9sAQAAAEDRyKiGY2dnN2HChHXr1sli49CaoIwIANAKPXjw4MiRI8HBwdXV1RMmTJg1a5arq6uC18Vev35tbW39yy+/zJw5k+kshBDCYrFCQkJk9PdekDUPDw9CSFhYmEz3cvPmzUGDBtWaqKysrKSkVF1draysbG5uPnjwYBcXl549e9rY2Ej932BoaOikSZPwXa6Bampq7OzsKIrS0dHp0KFDu3bttL8OTzTL2vnz58eOHct0iralsrIyJycnOzs7JycnJycnKyvr3bt36enp2dnZ7969q6qqEi8ZHh6O1gFQQDL93Le1tfXw8PDz85PFxqE1UWE6AAAASJ+Tk5OTk1NQUNDFixcPHjw4ePDgzp07T5ky5YcfflDYxyrXr19vYmKC4eGgBXnz5g39P2w2mx75V19ff+DAgf369XNycurevTtKUQpFRUUlOTmZ6RTwf1Clkj8Oh2NmZva1rocLCwuzs7Ozs7Pfvn2LQW8A2iCKohT8ngNQECgjAgC0Wlwu18PDw8PD4/nz57///vu+ffs2btw4ePDg2bNnu7u7q6go0EfAhw8fTp06tXfvXoVKBVC3169f83i8nj17DhgwoG/fvn379tXV1WU6FABAU2hpaWlpadna2jIdBACYIRKJMDg7NASuEgCA1q9r167+/v5ZWVmnT58mhEyaNMnExGTZsmWvXr1iOtr/OXjwII/HmzJlCtNBABph3rx5xcXFt27d2rRp05gxY1BDBAAAgBYKdyNCA6GMCADQVnA4HA8Pj+vXr6ekpEybNu3YsWOWlpajR48+d+5cTU0Ns9mOHDkyc+ZMHo/HbAyARmnXrp2ysjLTKQAAAACaC2VEaCCUEQEA2pzOnTsHBARkZ2dfu3ZNQ0Nj0qRJRkZGy5Yty8jIYCTP48eP09PTcSsiAAAAAAAj8FAzNBCuEgCANkpZWXnYsGGhoaEZGRk+Pj5//PGHubn5N998ExYWJhQK5Znk7NmzFhYWPXr0kOdOAQAAAACAJhQK8YwFNATKiAAAbV2nTp18fX3T0tKCg4MJIZMmTerSpUtAQMDHjx/lE+Cff/4ZNWqUfPYlO7NmzeLz+SwWKy4uroXua9u2bR07dmSxWL/++qsUN9scd+7ccXFx4fF4+vr6vr6+lZWVMt3d5cuXNTU1L168KNO9yN+cOXNY/5o2bZrkrMjIyOXLl589e9bc3Jxe4Pvvv5dcYPjw4Xw+X1lZ2dbWNiYmRr7BCSFEkbOJiUSinTt3Ojs715q+fv16GxsbgUDA4XAsLS2XLl1aWloqucCpU6d69+7N5/NNTExmzJjx7t07evqFCxcCAgKa9hcdtKlUoE2b5mvnrQ6KfFzMZsM1I4t1Fa1Nw8PDxR/Q7du3l8VOG66wsFBTU5PZDNAyUAAAABKSk5N9fX11dHTEfSnKdHdlZWWqqqqnTp2S6V6agBASEhLSqFXoEWxiY2NlFEkO+0pNTSWE/PLLL9LdbNM8e/ZMTU1t9erVpaWl9+7da9++/YwZMxq47sSJEydOnNjYPUZERAgEggsXLjR2RaaEhIQ05Lucl5eXjo7OlStXUlJSKioqxNPXrFnj5uZWXFxMv7SwsGjXrh0hJCIiQnL1K1eujB07VrrJG0uRs7148cLFxYUQ4uDgUGuWq6vrvn378vLyiouLQ0JC2Gz2yJEjxXPpv9wEBAQUFhbGxsaam5s7OjpWV1fTc3ft2uXq6lpQUNCoMGhTqUCbNk0d561einxcDGbDNSOjdRWnTUUiUVZW1q1bt0aPHt2uXbt6V2/g534TiEQiZWXl4OBgWWwcWhncjQgAAP/F2tra398/Ozv74MGDL1++/Oabb2xsbHbv3l3rhgtpefbsWVVVVe/evWWxcWjRNmzYoKent27dOnV19X79+vn6+h47diw5OVl2e/z222+Liorc3NxktwtaeXl50+68aDI1NbWRI0daWVlxOBx6ir+/f3BwcGhoKJ/PFy8WFBSkpKTk5eVVVFQkz3gNoZjZnj59umzZsrlz5zo6On4+V0NDg67h8vl8T09Pd3f3q1evZmZm0nMPHDjQqVOnJUuWaGpqOjo6Lly4MC4uLjo6mp47f/58BweH0aNHN3wILLSpVKBNm6bu89YQinlcNKay4ZqRxbo0BWlTFotlYGAwYMCAzp07yzPG50pKSoRCIe5GhIZAGREAAL6Ay+X+7//+b0xMzP3793v37r1s2TJDQ8Off/75+fPn0t1RRkaGkpKSiYmJdDfLCHkOb9fqh9Krqam5dOmSq6ur+EhHjRpFUdT58+eZDYWgfxsAACAASURBVCYVhw8fzs3NZTDAy5cvV69evW7dOi6XKznd2dnZx8cnOzt78eLFTGX7GsXM5uDgcPbs2alTp4rrs5IiIiIk+5miH1grKyujX2ZmZurr64uvcCMjI0KI5FBXfn5+cXFxu3btakgStKm0oE2bpu7z1hCKeVw0BrPhmpH6urSW0qZyQ5dTtbS0mA4CLQDKiAAAUBcnJ6fff/89Kytr9erVV69etbW1HTFiREREhEgkksr2s7OzdXV12Wy2VLYmZxRFBQYGWltbczgcTU3NJUuWSM4VCoVr1qwxNjZWU1Pr1q0b/RwK7cSJE7169eJyuerq6qamphs2bKC3tmPHjq5du3I4HG1t7XHjxkneedeEfW3dupXH4/H5/Nzc3EWLFhkYGKSkpDTqAG/fvm1jY6Opqcnlcu3t7a9du0YImTVrFt2Jj4WFRWxsLCFkxowZPB5PU1PzwoUL0gqTnp5eWlpqbGwsnmJhYUEIiY+Pb9QhNNydO3eMjY1ZLNbevXsJIfv371dXV+fxeOfPnx81apRAIDA0NKSfJSeEBAUFcbncjh07zpkzR19fn8vlOjs7i+858vb2VlVV1dPTo1/+5z//UVdXZ7FYdH+jPj4+ixYtSktLY7FYlpaWhJCrV68KBIJNmzbJ6NA+FxQURFHUmDFjPp+1ceNGKyur3377LTIy8ovr1nGh1n3SSJ3/KBpCkbM1RHZ2tpqampmZGf3S3NxcsppMd6Jnbm4unqKtre3q6rpr1y6KourdONoUbSpJwc/b1yjycTGVDdeM7LSINpWbwsJCQgjuRoQGkesj1AAA0JIJhcLr169/9913LBbL3Nzc398/Ly+vmdvcunWrmZmZVOJJF2lA34grV65ksVjbt28vKCgoKyvbt28fkeivcPHixRwO58yZMwUFBStWrFBSUnr06BFFUTt37iSEbNmyJS8vLz8//8CBA1OnTqUoas2aNaqqqidOnCgsLIyPj+/Ro0f79u3fvXvXnH2tXLmSEDJ//vw9e/aMHz/++fPndR9Rrb4Rw8LC/Pz88vPz8/LynJycxL32TJgwQVlZOTs7W7zilClTxF0KSiXMzZs3CSGBgYGSE9XU1IYOHVr3IdCa1jci/WTinj176Jd04Bs3bhQVFeXm5g4YMEBdXb2qqoqe6+Xlpa6unpSUVFFRkZiYSA+q8ObNG3ru1KlTdXV1xVsODAwkhHz48IF+OWHCBAsLC/HciIgIPp+/fv36xgZueN+IBgYGklPMzc1tbGxqLWZhYfHq1SuKou7du6ekpGRqalpaWkp91ldUvRdqHSfta9dGvRQ5G61v375198/16dMnPp/v7e0tnhIVFcVms4OCgoqLi589e9a1a9cRI0bUWmv58uWkYb2gok3Rpi3lvH2RIh8X49lwzUh9XcbPyedtOn/+fGb7Rrx9+zYhJCcnRxYbh1YGZUQAAGi01NRUX19fLS0tDQ2N2bNnP3v2rMmb2rFjh6GhoRSzSUu9ZcSysjIej/fNN9+Ip0gOe1JeXs7j8SZPnixemMPhzJs3r6qqSktLa/DgweK1ampqdu3aVVZWpqGhIV6eoqiHDx8SQujSUtP2Rf37Hbe8vLyBR13HECubN28mhOTm5lIURf/dfuPGjfSsoqKizp0719TUSDHMX3/9RQjZsWOH5ESBQODs7NyQ1aVYRhQHpku3L1++pF96eXlpamqK13306BEhZN26dfTLRpURm6xpZcTS0lIWi+Xm5lZrMfHPKoqiFi1aRAj56aefqP/+WVX3hUrVedLquDbqpcjZaPX+lF25cqWVlZV40APaqlWrxH/aNzQ0zMzMrLXWkSNHCCHHjx+ve+9oU+lmo6FNKdmcty9S5ONiPBuuGamvy/g5+bxNGS8jRkREEELocipA3fBQMwAANJqlpaW/v/+bN2+2b99++/ZtOzu7/v37h4WFCYXCxm5KS0uLHq5OFjll6uXLl2VlZUOHDv3i3JSUlLKyMjs7O/qlmpqanp5ecnJyfHx8YWHhiBEjxEsqKyvPnz8/MTGxtLS0V69e4um9e/dWVVWln5Nt2r6kcphi9IPndBMPGTLEysrqyJEjdMMFBwdPnjyZ7i9MWmHofp1qdSpfVVWlpqbW7ENpIlVVVUJIdXX1F+f26tWLx+PJdAQYaaFrwTwer45lNm7caG1tvW/fvjt37khOr/tC/ZzkSZPWtaHI2b7m3LlzoaGh165dkxz0YOXKlQcPHrxx40ZpaWl6erqzs3O/fv3Eg3XQ6GZ6//593dtHm8ou29egTWVHkY+LkWy4ZmRKkdtUnnJycvh8vrq6OtNBoAVAGREAAJqIz+fTtyJev35dW1t70qRJ1tbWAQEBBQUFDd+IlZXVp0+fsrKyZJdTRujMHTp0+OLcT58+EUJWrVrF+ldGRkZZWVlxcTH5Ug/WdJc0GhoakhO1tLRKSkqavK/mHR8hhFy6dGnQoEEdOnTgcDhLly4VT2exWHPmzElPT79x4wYh5Pjx4z/88IN0w9AdC9Kni1ZWVlZRUaGvr9/Mg5IdDofz4cMHplPUr6KighBSd7f0XC736NGjLBZr5syZ5eXl4ul1X6h1k9a1ocjZvig4ONjf3z8qKsrU1FQ88e3btwEBAbNnzx4yZIi6urqZmdmhQ4dycnLoG1fF6Lo53WR1QJvKLtsXoU1lSpGPi5FsuGZkSpHbVJ4yMjJax4CHIAcoIwIAQLMoKSkNGzbs4sWLiYmJw4cP37Bhg4mJibe3N/14bL26du2qpKREj9TRstC3y1VWVn5xLl3y27lzp+QjAPfv3+/UqRMhhB5qQxJdWKz13bSwsNDQ0LDJ+2re8ZE3b964u7vr6elFR0cXFRUFBARIzp0+fTqXy/3tt99SUlIEAoH4q6e0wpiZmfH5fMkRTl++fEkI6datW7OOSmaqq6vF7aXg6F8v9d473K9fv4ULF6amptJDANHqvlDrJsULVZGz1bJnz56TJ0/+/fff9L99sdTUVKFQKDlRIBDo6OgkJiZKLlZVVUX+bbI6oE1lmq0WtKkcKPJxyT8brhlZU9g2lac3b96gjAgNhDIiAABIR9euXffv35+VlbV27dpLly516dJl/PjxtZ4Q+ZyOjk6fPn3oEX5bFjs7OyUlJXokkM8ZGRlxudy4uLha001NTXV0dOiO/2ptTUND4/Hjx+Ip0dHRVVVVPXv2bPK+mikhIaG6unrevHnm5uZcLpfFYknOpe8/DQ8P37Zt248//ij1MCoqKqNHj75165Z4TPArV66wWKwvDkCpCKKioiiKcnJyol+qqKh87fFnxnXs2JHFYhUVFdW75IYNG7p06SJZ5a/7Qq2bdC9URc5GoyjK19c3ISEhPDy81v0shBD6h+jbt2/FU0pKSvLz842MjCQXo5tJV1e37n2hTWWdjYY2lSdFPi45Z8M1IweK2abyhLsRoeFQRgQAAGnS0tJatGhRampqeHg4PW5dz549jx8/XquTO0nu7u7nz5+XfJCkRejQocOECRPOnDlz+PDh4uLi+Pj4gwcPiudyudwZM2acPn16//79xcXFQqEwKyvr7du3HA5nxYoVt27d8vb2zs7OFolEJSUlSUlJXC530aJF586dO3nyZHFxcUJCwty5c/X19b28vJq8r2YeoLGxMSEkMjKyoqIiNTX1886A5s6dW1lZGRER4ebmJoswq1evfv/+/dq1az99+nT//v3AwMDp06dbW1s356CkSyQSFRQU1NTUxMfH+/j4GBsbT58+nZ5laWmZn58fHh5eXV394cMHydsqCSE6Ojo5OTmvX78uKSmprq6+cuWKQCDYtGmTfGLzeDxzc/OG9CRAP+pF93opnlLHhVrv1r52bUyePFlXVzcmJqbhR6HI2WhJSUlbt249dOgQm81mSdi2bRshxMzMbPDgwYcOHbp161Z5eXlmZiadU9w/AI1uJnt7+7qToE1lnY2GNm3aeWvauop8XHLLRsM1I4d1GWxTBZGRkUF/8QOoHwUAACAzjx8//v7771VUVExNTf39/enRVGr58OGDhobG7t275R+vDqS+kZopiiopKZk1a1a7du00NDT69++/Zs0aQoihoeHTp08piqqsrPT19TU2NlZRUaHrgImJifSKe/futbe353K5XC63e/fu+/btoyhKJBIFBgZ27tyZzWZra2u7u7unpKQ0Z18BAQH08zJGRkYnTpyo95C3b99O/2FcXV19/PjxFEX5+vrq6OhoaWl5eHjs3buXEGJhYfHmzRvxKt27d1++fHmt7UglDO3mzZt9+vThcDj6+vpLliypqKho4IpNGKl5z549dIeMPB5vzJgx+/bto3tA79y5c1pa2sGDBwUCASHExMTkxYsXFEV5eXmx2WwDAwMVFRWBQDBu3Li0tDTx1vLy8gYPHszlcs3MzH7++eclS5YQQiwtLemzFxMTY2Jioqam1r9//3fv3l2+fJnP54tHvm64po3UTFGUt7c3m80uKyujX547d87CwoIQ0r59e3q0SklLliwRj1xJ1Xmh1nvSvvaPwt3dnRCyZs2az8MrcjaKou7fv+/i4iLuslNPT8/Z2fnmzZsURSUkJHzxu3dgYCC97sePH318fCwtLTkcjoaGhouLy59//llr+99++62BgYFIJKo3CdoUbaqw563udRX5uBjPRsM1I8V1GT8nNMk2pTE7UnNNTQ2bzT516pTUtwytEsqIAAAgc2lpad7e3urq6gKBwNvbW7IORVuwYEGnTp2KiooYifdFDSkjwujRo9PT05lO8QVNKCM2lpeXl46Ojkx3Ua8mlxFTU1NVVFQaXs+VNaFQOGDAgMOHDzMd5AsYzPbx40cul7tt27aGJEGbNhzatGmac95wPTQZrhk5rysHtdqUxmwZkX5m4u7du1LfMrRKeKgZAABkztzcfPfu3dnZ2evXr6f/Duzp6fno0SPxAsuXLxcKhd7e3gyGhAYSd/kXHx9P323HbB4G1duTveIoLy+/du1aamoq3a27paXl+vXr169fX1paynQ0IhQKw8PDS0pKJk+ezHSW2pjN5ufn5+joSL8x1psEbdpAaNOmac55w/XQHLhm5LmufEi2KUVROTk5d+7coceRYwq9d3NzcwYzQAuCMiIAAMiJpqbm/PnzX758+euvvyYlJfXp02f48OHXrl2jKKpDhw6HDh06fvz4yZMnmY7ZaiUnJ7O+ruHftn19fVNTU1+8eDFjxgzJMQ0ZCQMNlJ+fP3LkSCsrq5kzZ9JTli9f7uHhMXny5Ib0xy9TUVFRZ8+evXLlCv2AmEJhMNuOHTvi4uIuX77MZrMbmARt2hBo06ZpznnD9dBkuGZa2fVGPmvT8+fPGxgYDBgw4NKlSwymiomJ0dXVpbt2AagXi6IopjMAAEBbdOfOnYCAgEuXLtnZ2S1evHjKlCkrVqzYvXv3+fPnR44cyXQ6wmKxQkJCPD09mQ6icFatWrVlyxYDA4N9+/ZJDq6iUDw8PAghYWFhMtr+ihUrtm/fXlVVZWpqGhgYOHHiRBntqG6hoaGTJk1qzne5v/766++///b395diKmi+8+fPJyUlLV26VLK//wZCmyomtCk0Fq6Z1qc5bUpr/uf+F02bNi0/P//y5cvS3Sy0VigjAgAAk2JjYwMCAs6cOWNmZrZ06dJbt26dO3cuLCxs9OjRzAZDGbFFk3UZUUHI6OcEAAAAKCAZfe7b2dmNGTNm8+bN0t0stFZ4qBkAAJjUvXv34ODg1NTU0aNHe3t7X79+3crKasyYMUFBQUxHAwAAAABozSoqKlJSUhwdHZkOAi0GyogAAMA8MzOz3bt3v379es6cOa9evVJRUfHx8ZkwYUJeXh7T0QAAAAAAWqeEhISampru3bszHQRaDJQRAQBAUejq6vr5+b1582bdunV8Pv/PP/80NjY+fPgw07kAAAAAAFqh2NhYDQ0NCwsLpoNAi4EyIgAAKBaBQODr65uTk7N582YWizVr1ix9ff0zZ84wnQsAAAAAoFWJiYlxcHBQUkJpCBoKQ6wAAIDiqqysXLt27e7duysqKoYPH75//365/bGUxWI5OTkZGhrKZ3cgXQ8ePCCEODk5MR1EtrKysh48eMDUONEAAAAgT/TnvnRrODY2NmPHjt2yZYsUtwmtG0rOAACguDgcjr+/f2lp6ZIlSwoLC21sbBYsWJCfn890LgAAAACAli03Nzc5OdnV1ZXpINCS4G5EAABoGWpqao4cObJ27VqhUPj777+PGjVKprtjsVghISGenp4y3QvIiIeHByEkLCyM6SCyFRoaOmnSJHyXAwAAaAuk/rkfFhY2ZcqUvLw8gUAgrW1Cq4e7EQEAoGVQUVGZPXt2cnLysGHDvvvuu2XLlgmFQqZDAQAAAAC0SH/99VevXr1QQ4RGQRkRAABaEk1NzVOnTv3222+7d++eNm1adXU104kAAAAAAFoYiqKuXLki6+d7oPVBGREAAFqeGTNmXLly5dKlSxMmTKipqWE6DgAAAABASxIfH5+dnT169Gimg0ALgzIiAAC0SIMGDbp+/frff//t7e3NdBYAAAAAgJbk0qVLurq6PXr0YDoItDAoIwIAQEvVt2/fEydOHDhw4Ndff2U6CwAAAABAixEaGuru7q6khKIQNA6uGAAAaMHc3d1XrFixePHitLQ0prM0xdmzZ83NzVlfYmpqKrcYly9f1tTUvHjxooy2v23bto4dO7JYLBR8AYApkZGRy5cvl3zX/f777yUXGD58OJ/PV1ZWtrW1jYmJkX9CRc4mJhKJdu7c6ezsXGv6+vXrbWxsBAIBh8OxtLRcunRpaWmp5AKnTp3q3bs3n883MTGZMWPGu3fv6OkXLlwICAjAmGkAcpaSkvL06VNPT0+mg0DLgzIiAAC0bKtXr7awsPjxxx+ZDtIUEyZMSE9Pt7Cw0NTUpCiKoqiampqysrL379/zeDy5xaAoSqbbX7x48b1792S6CwCAOqxduzYoKGjFihXid9127dqdPHny0qVL4mX++uuvsLAwNze3xMRERp7yU+RstNTU1IEDBy5cuLCsrKzWrL///vunn356/fr1x48fN2/evGvXLg8PD/HckJCQqVOnenh4ZGVlnT9//tatW6NGjaK7Nh4zZgyXyx06dGhhYaFcDwagbQsNDdXV1R04cCDTQaDlQRkRAABaNlVV1YMHD0ZFRZ0/f57pLFKgrKyspqbWsWNHKysr2e2lvLxc8l6Sb7/9tqioyM3NTXZ7bH1qnUMF2RQAfM7f3z84ODg0NJTP54snBgUFKSkpeXl5FRUVMZjtixQz29OnT5ctWzZ37lxHR8fP52poaHh5eeno6PD5fE9PT3d396tXr2ZmZtJzDxw40KlTpyVLlmhqajo6Oi5cuDAuLi46OpqeO3/+fAcHh9GjR2PMNAD5oCjq5MmTnp6eysrKTGeBlgdlRAAAaPH69u07ceLE5cuXi0QiprNITXh4uOw2fvjw4dzcXNltvy2Q4jlEcwDIzsuXL1evXr1u3Toulys53dnZ2cfHJzs7e/HixUxl+xrFzObg4HD27NmpU6dyOJzP50ZEREjWI9q3b08IEd+0mJmZqa+vz2Kx6JdGRkaEkIyMDPHyfn5+cXFxu3btkl1+ABC7ffv2ixcvZsyYwXQQaJFQRgQAgNZg/fr1KSkpFy5cYDqIlHl7e6uqqurp6dEv//Of/6irq7NYrI8fPxJC9u/fr66uzuPxzp8/P2rUKIFAYGhoePr0acktnDhxolevXlwuV11d3dTUdMOGDT4+PosWLUpLS2OxWJaWlnfu3DE2NmaxWHv37qVXoShqx44dXbt25XA42tra48aNS05OpmfVu8fbt2/b2NhoampyuVx7e/tr167J4zQ1VR1HWveZr3UOg4KCuFxux44d58yZo6+vz+VynZ2dxTfaNGpThJCrV68KBIJNmzbJ+WwAtEpBQUEURY0ZM+bzWRs3brSysvrtt98iIyO/uG5z3gyFQuGaNWuMjY3V1NS6desWEhLSqNiKnK0hsrOz1dTUzMzM6Jfm5uaSfyyhO0Y0NzcXT9HW1nZ1dd21a5esO9kAAELIkSNHevTo0b17d6aDQMtEAQAAtApubm4DBgyQ1tYIISEhIdLaWt0k+0akKOrGjRuBgYHil1OnTtXV1RW/DAwMJIR8+PCBfrly5UpCyI0bN4qKinJzcwcMGKCurl5VVUXP3blzJyFky5YteXl5+fn5Bw4cmDp1KkVREyZMsLCwEG+Tfu5sz5499Ms1a9aoqqqeOHGisLAwPj6+R48e7du3f/fuXUP2GBYW5ufnl5+fn5eX5+Tk1K5dO3p6amoqIeSXX36R6pn7qokTJ06cOLHexeo+0rrPfK1z6OXlpa6unpSUVFFRkZiYSI8k8ObNmyZsKiIigs/nr1+/vt789I//ehcDaMvMzc1tbGxqTbSwsHj16hVFUffu3VNSUjI1NS0tLaUo6sqVK2PHjhUv1pw3w8WLF3M4nDNnzhQUFKxYsUJJSenRo0cNCazI2Wh9+/Z1cHCoY4FPnz7x+Xxvb2/xlKioKDabHRQUVFxc/OzZs65du44YMaLWWsuXLyeExMbGNjwJQFsjlc/9/Px8dXX1vXv3SiUStEG4GxEAAFqJhQsX3r59W3wLWMtSVFQkHqN56NChjV3d2dlZIBB06NBh8uTJnz59evPmDSGkurp63bp1gwcPXrZsmY6Ojra29g8//NC7d++6N1VeXr5jx47x48dPmzZNU1PT3t7+119//fjx48GDB+vdIyFk4sSJa9eu1dbW1tHRGTNmTF5e3ocPHxp7OPLRwCNtOBUVFfrOIBsbm/3795eUlBw9erQJ2/n222+Li4tXr17dtBgAIPbp06dXr15ZWFh8bYF+/fotWLDg9evXy5YtqzWrOW+GFRUV+/fvd3d3nzBhgpaW1qpVq9hsdmPfEBQ5W902b96sr6+/ceNG8RRXV1dfX19vb2+BQGBnZ1dSUvLbb7/VWqtz586EkISEBCkmAYDPHThwQFlZudZw8AANhzIiAAC0EoMGDerRo0cL7VlJ8m7Ef/75p8nbUVVVJYRUV1cTQuLj4wsLC0eMGCGeq6ysPH/+/Lq3kJiYWFpa2qtXL/GU3r17q6qqfq0+K7nHWthsNiFEKBQ2+jDkorFH2ii9evXi8XjiZwwBgBG5ubkURdU98P3GjRutra337dt3584dyenNeTNMSUkpKyuzs7OjZ6mpqenp6TXhDUGRs33NuXPnQkNDr127JjmgzcqVKw8ePHjjxo3S0tL09HRnZ+d+/fqJB2Ch0c30/v17aSUBgM9VV1fv37//xx9/FAgETGeBlgplRAAAaD0WLlx45syZrKwspoM0y6BBg6TSrX5xcTEhREtLq1FrFRYWEkI0NDQkJ2ppaZWUlDRk9UuXLg0aNKhDhw4cDmfp0qWN2rWcNfNI68XhcBT2TkyANqKiooIQ8sUhQcS4XO7Ro0dZLNbMmTPLy8vF05vzFvHp0ydCyKpVq8S3mWdkZIjHG2k4Rc72RcHBwf7+/lFRUaampuKJb9++DQgImD179pAhQ9TV1c3MzA4dOpSTk0N37yCmpqZG/m0yAJCR0NDQt2/f/vzzz0wHgRYMZUQAAGg9PD09dXV19+/fz3QQhdCpUydCCD2OR8PRZcdav0ULCwsNDQ3rXffNmzfu7u56enrR0dFFRUUBAQGN2rWcNedI61VdXS2tTQFAk9GVqXrvie7Xr9/ChQtTU1M3bNggntict4gOHToQQnbu3CnZmdT9+/ebcAiKnK2WPXv2nDx58u+//6Y/fcRSU1OFQqHkRIFAoKOjk5iYKLlYVVUV+bfJAEAWRCLR5s2bPT09TUxMmM4CLRjKiAAA0Hqw2WwvL68DBw5I68YKRaCiovLFR4brZWpqqqOj89dffzVqLTs7Ow0NjcePH4unREdHV1VV9ezZs951ExISqqur582bZ25uzuVyWSxWo0PLUb1H2uQzTwiJioqiKMrJyan5mwKAJuvYsSOLxSoqKqp3yQ0bNnTp0iU2NlY8pTlvhkZGRlwuNy4urmmxW1A2GkVRvr6+CQkJ4eHhte6RJITQxc23b9+Kp5SUlOTn5xsZGUkuRjeTrq6uFIMBgKTQ0NDk5GR6OCOAJkMZEQAAWpU5c+aUlZWdOnWK6SBSY2lpmZ+fHx4eXl1d/eHDh4yMjAauyOFwVqxYcevWLW9v7+zsbJFIVFJSkpSURAjR0dHJycl5/fp1SUlJrfIWl8tdtGjRuXPnTp48WVxcnJCQMHfuXH19fS8vr3r3aGxsTAiJjIysqKhITU1V8OFu6j3Sus/85+dQJBIVFBTU1NTEx8f7+PgYGxtPnz69CZu6cuWKQCDYtGmTPM4CQKvG4/HMzc0b0tMF/fiwsrKy5JQmvxlyudwZM2acPn16//79xcXFQqEwKyuLrqNNnjxZV1c3Jiam4UehyNloSUlJW7duPXToEJvNZknYtm0bIcTMzGzw4MGHDh26detWeXl5ZmYmnfOHH36Q3AjdTPb29o3dOwA0hEgk2rhx46RJk8RdowI0kTyGgwYAAJCj6dOnd+3ataampjkbIYSEhIRIK9LX3L1718rKiv5E1tPTGzp06OfL5OXlDR48mMvlmpmZ/fzzz0uWLCGEWFpavnnzZt++fXSf9J07d05LSzt48CDdYbaJicmLFy/o1ffu3Wtvb8/lcrlcbvfu3fft20dRVExMjImJiZqaWv/+/VetWqWnp0cI4fF4Y8aMoShKJBIFBgZ27tyZzWZra2u7u7unpKTQW6t3j76+vjo6OlpaWh4eHnv37iWEWFhY+Pj40DeYqKurjx8/XtZnlaKoiRMnTpw4sd7F6jhSqs4zT/33OXz37p2XlxebzTYwMFBRUREIBOPGjUtLS2vapi5fvszn8zdu3Fhv/pCQEHyXA6ibt7c3m80uKyujX547d44euLl9+/Y//fRTrYWX2ror5AAAIABJREFULFkyduxY8cvmvBlWVlb6+voaGxurqKh06NBhwoQJiYmJFEW5u7sTQtasWfN5VEXORlHU/fv3XVxc9PX1xZ9Zzs7ON2/epCjqa8MrBwYG0ut+/PjRx8fH0tKSw+FoaGi4uLj8+eeftbb/7bffGhgYiESiL+4dAKjmfe4fPnxYRUUlKSlJupGgDWJRFCX92iQAAABzUlNTbWxsjh07NnXq1CZvhMVihYSEeHp6SjEYyI2HhwchJCwsTG57nDNnTlhYWF5entz2SAgJDQ2dNGkSvssB1OHly5ddu3Y9evTotGnTmM5CCCEikWjQoEHTp0+fOXMm01lqYzBbXl6eoaHhxo0bFy1aJOddA7QgTf7cLy0ttbKyGj9+PP0nXoDmwEPNAADQ2nTu3HnKlCl+fn6VlZVMZ4E2pN5hHABA/iwtLdevX79+/frS0lKmsxChUBgeHl5SUjJ58mSms9TGbDY/Pz9HR0dvb2/57xqgLfD39y8vL/fz82M6CLQGKCMCAEArtHHjxnfv3m3dupXpIAAAwLDly5d7eHhMnjy5IWOtyFRUVNTZs2evXLlCP3SsUBjMtmPHjri4uMuXL7PZbDnvGqAtePHixfbt29esWdO+fXums0BrgDIiAAC0QkZGRqtXr96yZQs9ogiATK1YseLo0aNFRUVmZmZnzpxhOg4A1LZp0yZvb+8tW7YwG2Po0KF//PEH3R2tomEq2/nz5ysrK6OiorS1teW8a4C2gKKoefPmWVlZ/fTTT0xngVZChekAAAAAMrFgwYLw8PBJkyZFR0cr4H0f0Jps3rx58+bNTKcAgLoMHz58+PDhTKeA2saOHTt27FimUwC0WocPH46KioqOjsbdviAtuBsRAABaJzabHRwcnJOTM2vWLJFIxHQcAAAAAAD5ef369eLFi318fHr27Ml0Fmg9UEYEAIBWy9jYODQ09Ny5c+i1HQAAAADaDpFINGPGDAMDgw0bNjCdBVoVPNQMAACt2dChQ0+fPu3p6UkI2b17t7KyMtOJAAAAAABka8OGDffv34+OjlZTU2M6C7QquBsRAABaOXd39+Dg4KNHj3733XfFxcVMxwEAAAAAkKHIyMgNGzYEBgY6ODgwnQVaG5QRAQCg9ZswYUJUVNTTp0979Ohx8+ZNpuMAAAAAAMhERkbG//zP/3h6ev78889MZ4FWiEVRFNMZAAAA5OHt27dz5syJiIiYN2/epk2bBAJBHQuzWCy5BQMAAAAAaIi6azifPn1ycXFhsVh3797l8XhySwVtB8qIAADQtvzxxx/z589XUlJatWrVnDlzVFVVv7hYaGionIMBALRKO3fuJIQsWLCA6SAAAK0B3eX3F5WXl48ZMyYuLu7Ro0empqZyDAVtCMqIAADQ5hQUFAQEBAQFBXXo0GHlypU//PADhl4BAJAR+hcv/jYDACBTBQUFEydOjIuLu3HjhqOjI9NxoNVC34gAANDmaGtr+/v7v3jxYuTIkfPmzXNwcIiIiGA6FAAAAABAUyQmJvbp0+fFixeRkZGoIYJMoYwIAABtlKGh4YEDB+Li4kxNTd3c3IYOHXrjxg2mQwEAAAAANBRFUQcPHuzbt2/Hjh0fPXrUvXt3phNBK4cyIgAAtGl2dnYRERE3b95ksVjDhg3r27fvn3/+KRKJmM4FAAAAAFCXxMTEQYMG/fTTT0uWLImKitLT02M6EbR+KCMCAACQgQMHRkZGxsbGWltbe3h4WFlZ7d69u7KykulcAAAAAAC1FRQUzJ8/39HRsays7OHDh2vXrmWz2UyHgjYBZUQAAID/4+joePz48YSEhP79+y9ZsoQuJhYXFzOdCwAAAACAEEJKS0sDAgIsLCz++OOPbdu2PXjwAJ0hgjyhjAgAAPBfunbteuzYsZcvX44bN27lypUGBgZz585NSEhgOhcAAAAAtF2FhYWbN282NTXdsmWLt7d3Wlra/PnzlZWVmc4FbQvKiAAAAF9gbGy8e/funJyc7du337lzp1u3br169Tp48GBFRQXT0QAAAACgDcnMzFy0aJGxsfHWrVu9vLzS09P9/Pw0NTWZzgVtEcqIAAAAXyUQCGbPnh0fH3/9+nUjI6N58+aZmZmtXr06KyuL6WgAAAAA0JqJRKLIyEhPT08LC4tTp04tXLjw1atXmzZt0tHRYToatF0oIwIAANSDHsT5zz//zMzM9PHxOXbsmImJyTfffHP8+PFPnz4xnQ4AAAAAWpWcnJxNmzZZWFgMHz48Nzf32LFjGRkZfn5+2traTEeDtg5lRAAAgIbS19f39fVNS0sLDg5WVVWdOXOmoaHh3LlzHzx4wHQ0AAAAAGjZxLcfmpqabtu2bfjw4U+fPo2KipoyZYqqqirT6QAIIYRFURTTGQAAAFqkt2/fhoaGHjt2LC4uztraevLkydOnTzc1NWU6FwCAAvH09CSEhIaGMh0EAEBBURT18OHD0NDQ0NDQ7OxsV1fX2bNnjx8/nsPhMB0NoDaUEQEAAJrr0aNHv//+++nTp4uKioYMGTJp0iR3d3d0WwMAQFBGBAD4upiYmJCQkNDQ0NevX1tZWXl6en7//fdWVlZM5wL4KpQRAQAApKOysvLixYunTp26cuWKUCj85ptvPD09x44dq6WlxXQ0AADGoIwIAFBLYmJiWFhYcHBwSkqKsbHxuHHjPDw8XFxcWCwW09EA6oEyIgAAgJSVlZXduHEjLCzs7NmzdD3Rw8Nj3LhxAoGA6WgAAPKGMiIAACGkpqbm7t27ly5dunDhQkpKipGRkYeHh6enZ58+fVA9hBYEZUQAAABZKSwsPH/+fGho6PXr15WVlUeNGuXu7v7tt9/ieWcAaDtQRgSAtqygoODatWsXL168evVqfn6+lZWVm5vbuHHjnJ2dlZQw5i20PCgjAgAAyFx+fv6ff/555syZv//+WyQSDRgwYOzYsWPGjDEzM2M6GgCAbKGMCABtUHp6+sWLFyMiIm7duiUUCp2cnNzc3Nzc3GxsbJiOBtAsKCMCAADIj/h554sXLxYWFtrY2Li5uX333XfoDQcAWiuUEQGgjSgsLPznn38iIyOvX7+emprarl27kSNHurm5jRgxAj1lQ6uBMiIAAAADqquro6Kizp8/f+HChczMTCMjozFjxowePXrQoEE8Ho/pdAAAUoMyIgC0YlVVVffv36dLh48fPyaE9OjRY9iwYaNGjXJ2dlZWVmY6IICUoYwIAADAJIqiYmJizp8/f/HixadPn3I4HFdX11GjRo0aNcrKyorpdAAAzYUyIgC0Punp6ZGRkZGRkdeuXSsuLjY3Nx82bNiwYcOGDh2KLrChdUMZEQAAQFHk5ubevHmT7kmnoKDAzMzsm2++GTZs2IgRIzDKMwC0UCgjAkArQFFUYmLizZs3b926dfPmzffv37dv337IkCF09RC9XUPbgTIiAACAwqmpqbl3797Vq1evXLlC36I4cODAkSNHDhs2zM7ODr0oAkALgjIiALRQQqEwLi7u9u3bUVFRd+7cycvL09TU7N+/v6ur69ChQx0dHTHUMrRBKCMCAAAotLdv39L1xBs3buTn5+vq6g4dOnTo0KHDhg0zNjZmOh0AQD1QRgSAFqSmpubp06d37ty5e/duZGRkQUGBQCDo06fPsGHDXFxc+vbty2azmc4IwCSUEQEAAFoGkUgUGxtLf6+9evVqSUkJOuIBAMWHMiIAKLiPHz/ev3//wYMH9+7de/jwYVlZmb6+/sCBAwcOHOjq6mpjY4MHQQDEUEYEAABoeSoqKu7evXvjxo0bN248efKEENKjR4+hQ4cOHDiwf//+fD6f6YAAAP8HZUQAUDRCofDZs2f379+nq4cvXrxgsVhdunRxcnJycXEZMGAAhrkD+BqUEQEAAFq2goKCqKioyMjIf/755/nz5yoqKt27d6f/fj5gwAAtLS2mAwJAm4YyIgAoguLi4ocPH965c+fJkyd3794tKCjQ0NBwcHDo37+/i4tLv3792rdvz3RGgBYAZUQAAIDWIzc3Nzo6mu7NJzY2lhDSpUuX/v37Dxs2bPDgwfh+DADyhzIiADCivLw8Njb20b9SU1MpirKysurXr5+Tk5Ozs7Otra2ysjLTMQFaGJQRAQAAWqePHz/evn375s2bN2/ejI+PpyjK1tZ24MCBzs7OLi4upqamTAcEgDYBZUQAkI+amprExMRHjx49fPjw0aNHz549q6mpadeuXe/evXv37t2nTx8nJyf8SRWgmVBGBAAAaP0KCwvpkuLdu3efPHlSXV3dqVMnl385OjqqqKgwnREAWieUEQFAdnJycp48eUI/p3zv3r2ysjJ1dXVHR8ee/8IAKQDShTIiAABA21JdXR0fH0+P+PzPP/98/PiRx+N1796d7hvIxcUFgz4DgBShjAgA0iIUCjMyMhITE+nS4YMHDz5+/KiiomJlZSWuG/bp00dVVZXppACtFsqIAAAAbRdFUc+fP7979y79N/zU1FQlJSUbG5u+ffs6OTn17dvXxsYG3QYBQHOgjAgATVZVVfXs2bPY2NiYmJjY2NinT5+WlZWpqqra29t37969R48ePXr0cHR05HA4TCcFaCtQRgQAAID/8/79+3v37t2/fz86OvrJkyefPn3i8/m9evWiS4p9+/bV09NjOiMAtDAoIwJAw5WWliYkJNBFw5iYmMTExKqqKnV19W7duvXo0YMuHdrZ2bHZbKaTArRRKCMCAADAF9TU1Dx79iw6OvrBgwcPHz5MTk4WiUQmJiZ0SbFPnz7du3fn8XhMxwQARYcyIgDUIScnJykpSfycMv19QyAQ2Nvbi59T7tKlC56NAFAQKCMCAABA/UpKSp4+fUp3YX7z5s3c3FxlZWVra2vxV/xevXpxuVymYwIA86Kjo58+fSp+efDgQULI7NmzxVMcHBz69u3LQDIAYFpFRUViYmJcXFx8fPzTp0+fPn1aWFhICDEzM3NwcHBwcOjWrZujo6OZmRnGRQFQTCgjAgAAQKOlp6c//teTJ0+Ki4tVVVUdHBx6/cvGxgajPwO0TREREW5ubsrKykpKSoQQ+ucGXREQiURCofDixYvfffcdwykBQC5ev36dlJSUkJBAlw5fvHhRU1PD4/Hs7Owc/mVvb6+pqcl0UgBoEJQRAQAAoFlEItGLFy/EVcXY2NiysjJ69OeePXs6Ojo6Ojra2tpi2ESANqK6urp9+/bFxcVfnCsQCD58+IA3BIBWKTs7OzEx8dmzZ0lJSfR/S0pKCCFGRkb0nYZ03dDS0hIPKQO0UCgjAgAAgDTV1NQkJSWJb1RMSEgoLy9ns9m2traOjo4ODg50YVFLS4vppAAgK3PmzDl69GhVVVWt6Ww2e+bMmb/++isjqQBAugoKChITE+meDZOSkuLj43Nzcwkh2traNjY2tra29H+7devWsWNHpsMCgHSgjAgAAAAyJBQKMzIyxF2nP378+N27d4QQfX39nj170r8xevbsaWNjg16QAFqNmzdvDho06GuzBg4cKN84ACAFhYWFaWlp4rrhkydP3r59SwjR0tKysLCgP81tbW3t7Oz09PSYDgsAsoIyIgAAAMgVffPCk3/RYzJqamra2dmJC4sYsAWgRROJRJ06dXr//n2t6R06dHj37h3dZyIAKLLi4uLU1FTJmw1fvXpFUZSmpqalpaXkzYbm5uZMhwUA+UEZEQAAAJhUUlLy4sULcWGR7lqRzWZ37tyZHgOafhq6ffv2TCcFgEZYsmRJUFCQ5HPNqqqq8+fP37p1K4OpAOCLqqqqUlNTxbcZiouGHA7HwsJC/Ec+W1tbjKEM0MahjAgAAAAKpKam5vnz53ES8vPzWSyWubl59+7d7e3tbW1t7e3tLSwspNI7+8ePH3fu3Ll06VKMEQkgXTExMT179vx8Yvfu3RnJA9DiPHv2TElJycbGRupbzsnJSU5OfvHiRXJycnJyckpKSkZGBkVRPB6va9eudnZ2NjY29H9NTU2lvncAaNFQRgQAAACF9ubNG7qe+PTp0/j4+PT0dJFIxOFwbGxs6N85dnZ2tra2pqamTbg/4vbt2wMHDtTU1Fy7du28efM4HI4sDgGgbercufPLly/FL83NzdPS0hjMA9BSpKWlrVmz5vTp09u3b1+wYEFzNlVZWfnixYuUlJSUlBS6YpiSkkIPpK6trW1lZdW1a1dra2vxnYbocwAA6qbCdAAAAACAuhgbGxsbG48ZM4Z+KfngVVJS0okTJ+jeFVVVVS0tLRv74NXz589VVFSKioqWLFkSGBjo7+8/bdo0/IgCkIpp06Zt2rSpurqaEKKqqvr//t//YzoRgKLLzs5ev3794cOHlZWVlZSUUlNTG7V6QUFBeno6/flI/09KSopQKCSE6Ovr29radu/eferUqXSHhng8GQCaAHcjAgAAQMv2eTfw6enphJBa3cD36tVLX1+/1roLFizYv38/3X0b/WvK0tJy06ZNHh4e8j8QgFbm5cuXnTt3Fr9MSUmxsrJiMA+AIsvLywsMDNy1a5dIJKKL74SQQYMG/fPPP19cvrq6OjMzU7JomJCQQI9rRHdoSNcK6Q/Brl278ng8+R0MALReKCMCAABAa1NYWJiWlibuJ178y0pbW1tycEkHB4cpU6ZERkZKrqukpCQSiXr37r19+/YBAwYwdAQArYSjo2N8fDwhpFu3bnFxcUzHAVBEpaWl+/bt27BhQ2VlZU1NjeQsPT29t2/fks9uM0xPT3/27FllZSX59zZDc3NzcdEQtxkCgOygjAgAAACtX05OTmJi4rNnz+iqYlJSUklJCSGEz+fT/1OLiopKTU3NkCFDdu/ebWdnJ/e8AK3Ejh07fH19CSEBAQELFy5kOg6AYqmsrPz999+XL19eVFREP3pcC4vF6tOnT2pqan5+PiFEXV3d2tra2tq6S5cuXbp0sbKysra2VlNTk3twAGi7UEYEAACANoeiqIyMjCdPnnh4eNTxXYjNZguFwh9++MHPz69Tp07yTAjQOuTk5BgZGVEUlZmZaWBgwHQcAEVRXV199OjR1atX5+fn17oDsZb/+Z//cXFxsba2trKyMjY2lltCAIAvQhkRAADgC9A1XltQWFhY64nmr1FWVraysrKysmKz2bJOBdDKREVFEUIGDRrEcA4AxUBR1Js3b549e1ZeXt6Q5fv164cSPEgKCwtjOgK0aRiIEAAA4AvOnDmTlZXFdApoogcPHjx48KDexYqLi7/WexSLxRLPUlNT09XVZbFYRUVF0kzZbFlZWWfOnGE6BUA9jI2NTUxMmE4BoCiKiopKSkr4fL6qqio9RVlZ+WsfRkpKSqWlpXJMBwoNn/ugCFSYDgAAAKCgFixY4OnpyXQKaAr6ZtJ6/1y/atWqJ0+eCIVCJSUlZWVlemRMHo9nb2/fs2dPBweHbt262dnZaWhoyCN044WGhk6aNAl3JYCCo/t009HRYToIgMLJysqKiYmJjY19/Pjx48eP3717RwhRVVUVCoV0V4ksFqt3796HDx9mOikoBPpzn+kU0NahjAgAAABtVHJyMkVRpqamvXr1cnR0tLe379atm6mpKdO5AFoVFBABvsbQ0NDQ0HDMmDH0yw8fPsTGxsbExMTExERHR2dmZgqFwuTkZGZDAgBIQhkRAAAA2qgtW7YcP36cx+MxHQQAAIB06NBh+PDhw4cPp18WFxfHxsa+fv2a0VAAAP8FZUQAAABoozp37sx0BAAAgC8TCASurq6urq5MBwEA+P9hiBUAAAAAAAAAAACoB8qIAAAAAAAAAAAAUA+UEQEAAKRg1qxZfD6fxWLFxcW10H1t27atY8eOLBbr119/leJmm0kkEu3cudPZ2VkO+7p8+bKmpubFixflsC95mjNnDutf06ZNk5wVGRm5fPnys2fPmpub0wt8//33kgsMHz6cz+crKyvb2trGxMTINzghhChyNrGvXaXr16+3sbERCAQcDsfS0nLp0qWlpaWSC5w6dap37958Pt/ExGTGjBn0IK2EkAsXLgQEBNDjtDYW2lQq0KZN04R3bEU+Lmaz4ZqRxbqK1qbh4eHiD+j27dvLYqcA0kcBAADAZwghISEhjVrl9OnThJDY2FgZRZLDvlJTUwkhv/zyi3Q322QvXrxwcXEhhDg4ODRqxYkTJ06cOLGxu4uIiBAIBBcuXGjsikwJCQlpyHc5Ly8vHR2dK1eupKSkVFRUiKevWbPGzc2tuLiYfmlhYdGuXTtCSEREhOTqV65cGTt2rHSTN5YiZ6vjKnV1dd23b19eXl5xcXFISAibzR45cqR4bnBwMCEkICCgsLAwNjbW3Nzc0dGxurqanrtr1y5XV9eCgoJGhUGbSgXatGma/I5NKfZxMZgN14yM1lWcNhWJRFlZWbdu3Ro9enS7du3qXb2Bn/sAMoW7EQEAAEARPX36dNmyZXPnznV0dJTPHr/99tuioiI3NzdZ76i8vFw+91eKqampjRw50srKisPh0FP8/f2Dg4NDQ0P5fL54saCgICUlJS8vr6KiInnGawjFzFb3VaqhoUHXcPl8vqenp7u7+9WrVzMzM+m5Bw4c6NSp05IlSzQ1NR0dHRcuXBgXFxcdHU3PnT9/voODw+jRo2tqahoYBm0qFWjTpmn+O7ZiHheNqWy4ZmSxLk1B2pTFYhkYGAwYMABjvkELgjIiAACAdLBYrFa5L6Y4ODicPXt26tSp4spXq3H48OHc3FwGA7x8+XL16tXr1q3jcrmS052dnX18fLKzsxcvXsxUtq9RzGx1X6URERHKysril/QDa2VlZfTLzMxMfX198b9lIyMjQkhGRoZ4eT8/v7i4uF27djUkCdpUWtCmTdP8d2zFPC4ag9lwzUh9XVpLaVMABYQyIgAAQBNRFBUYGGhtbc3hcDQ1NZcsWSI5VygUrlmzxtjYWE1NrVu3bvRzKLQTJ0706tWLy+Wqq6ubmppu2LCB3tqOHTu6du3K4XC0tbXHjRuXnJzcnH1t3bqVx+Px+fzc3NxFixYZGBikpKQ06gBv375tY2OjqanJ5XLt7e2vXbtGCJk1axbdiY+FhUVsbCwhZMaMGTweT1NT88KFC7ILI2t37twxNjZmsVh79+4lhOzfv19dXZ3H450/f37UqFECgcDQ0JB+lpwQEhQUxOVyO3bsOGfOHH19fS6X6+zsLL7nyNvbW1VVVU9Pj375n//8R11dncViffz4kRDi4+OzaNGitLQ0FotlaWlJCLl69apAINi0aZPcDjYoKIiiqDFjxnw+a+PGjVZWVr/99ltkZOQX163jQq37pJE6/1E0hCJna4js7Gw1NTUzMzP6pbm5uWQ1me5Ez9zcXDxFW1vb1dV1165dFEXVu3G0KdpUkoKft69R5ONiKhuuGdlpEW0KoIjk+ww1AABAy0Aa0DfiypUrWSzW9u3bCwoKysrK9u3bRyT6K1y8eDGHwzlz5kxBQcGKFSuUlJQePXpEUdTOnTsJIVu2bMnLy8vPzz9w4MDUqVMpilqzZo2qquqJEycKCwvj4+N79OjRvn37d+/eNWdfK1euJITMnz9/z54948ePf/78ed1HVKtvxLCwMD8/v/z8/Ly8PCcnJ3GvPRMmTFBWVs7OzhavOGXKFHGXgtIKI9a3b1/59I1IP5m4Z88e+iUd+MaNG0VFRbm5uQMGDFBXV6+qqqLnenl5qaurJyUlVVRUJCYm0oMqvHnzhp47depUXV1d8ZYDAwMJIR8+fKBfTpgwwcLCQjw3IiKCz+evX7++sYEb3jeigYGB5BRzc3MbG5tai1lYWLx69YqiqHv37ikpKZmampaWllKf9RVV74Vax0n72rVRL0XORqv3Kv306ROfz/f29hZPiYqKYrPZQUFBxcXFz54969q164gRI2qttXz5ctKwXlDRpmjTlnLevkiRj4vxbLhmpL4u4+fk8zadP38++kaElgKXIAAAwBfUW0YsKyvj8XjffPONeIrksCfl5eU8Hm/y5MnihTkczrx586qqqrS0tAYPHixeq6amZteuXWVlZRoaGuLlKYp6+PAhIYQuLTVtX9S/33HLy8sbeNR1DLGyefNmQkhubi5FUfTf7Tdu3EjPKioq6ty5c01NjXTDiDFbRhQHpku3L1++pF96eXlpamqK13306BEhZN26dfTLRpURm6xpZcTS0lIWi+Xm5lZrMfHPKoqiFi1aRAj56aefqP/+WVX3hUrVedLquDbqpcjZaPVepStXrrSyshIPekBbtWqV+E/7hoaGmZmZtdY6cuQIIeT48eN17x1tKt1sNLQpJZvz9kWKfFyMZ8M1I/V1GT8nn7cpyojQguChZgAAgKZ4+fJlWVnZ0KFDvzg3JSWlrKzMzs6Ofqmmpqanp5ecnBwfH19YWDhixAjxksrKyvPnz09MTCwtLe3Vq5d4eu/evVVVVennZJu2L6kcphibzSaECIVCQsiQIUOsrKyOHDlCURQhJDg4ePLkyXR/YfIJwwhVVVVCSHV19Rfn9urVi8fjtYgjpWvBPB6vjmU2btxobW29b9++O3fuSE6v+0L9nORJk9a1ocjZvubcuXOhoaHXrl2THPRg5cqVBw8evHHjRmlpaXp6urOzc79+/cSDddDoZnr//n3d20ebyi7b16BNZUeRj4uRbLhmZEqR2xRAMaGMCAAA0BRZWVmEkA4dOnxx7qdPnwghq1atYv0rIyOjrKysuLiYEKKlpVVr+cLCQkKIhoaG5EQtLa2SkpIm76t5x0cIIZcuXRo0aFCHDh04HM7SpUvF01ks1pw5c9LT02/cuEEIOX78+A8//CDrMIqPw+F8+PCB6RT1q6ioIITU3S09l8s9evQoi8WaOXNmeXm5eHrdF2rdpHVtKHK2LwoODvb394+KijI1NRVPfPv2bUBAwOzZs4cMGaKurm5mZnbo0KGcnBz6xlUxNTU18m+T1QFtKrtsX4Q2lSlFPi5GsuGakSlFblMAxYQUUXrrAAAWF0lEQVQyIgAAQFPQwyBWVlZ+cS5d8tu5c6fkIwD379/v1KkTIYQeakMSXVis9d20sLDQ0NCwyftq3vGRN2/euLu76+npRUdHFxUVBQQESM6dPn06l8v97bffUlJSBAKBiYmJTMMovurqanF7KTj61wt9Y2kd+vXrt3DhwtTUVHoIIFrdF2rdpHhtKHK2Wvbs2XPy5Mm///6b/rcvlpqaKhQKJScKBAIdHZ3ExETJxaqqqsi/TVYHtKlMs9WCNpUDRT4u+WfDNSNrCtumAIoJZUQAAICmsLOzU1JSunnz5hfnGhkZcbncuLi4WtNNTU11dHT++uuvz7emoaHx+PFj8ZTo6OiqqqqePXs2eV/NlJCQUF1dPW/ePHNzcy6Xy2KxJOdqa2tPmjQpPDx827ZtP/74o6zDKL6oqCiKopycnOiXKioqX3v8mXEdO3ZksVhFRUX1Lrlhw4YuXbrQ43HT6r5Q6ybda0ORs9EoivL19U1ISAgPD691PwshhP4h+vbtW/GUkpKS/Px8IyMjycXoZtLV1a17X2hTWWejoU3lSZGPS87ZcM3IgWK2KYBiQhkRAACgKTp06DBhwoQzZ84cPny4uLg4Pj7+4MGD4rlcLnfGjBmnT5/ev39/cXGxUCjMysp6+/Yth8NZsWLFrVu3vL29s7OzRSJRSUlJUlISl8tdtGjRuXPnTp48WVxcnJCQMHfuXH19fS8vrybvq5kHaGxsTAiJjIysqKhITU39vDOguXPnVlZWRkREuLm5yTqMYhKJRAUFBTU1NfHx8T4+PsbGxtOnT6dnWVpa5ufnh4eHV1dXf/jwISMjQ3JFHR2dnJyc169fl5SUVFdXX7lyRSAQbNq06f9r796DorruAI6fFda9vBZYXxCU52KqlaqpTgNqI3XGNHGComCYMZ2JplOSNtkQFRFiiEF8BaMMgk0kGf/QJgGigTZidNQSa8M47RAihYkiRvERo0CARVARbv+40x2KyC4L7F31+/lvz73nnN8953p3+XnvPY4J293dPTQ0VHlSvn/Ko17KWy8tJf2cqFZbu9+5kZCQMG7cuIqKCtuPwpljU9TU1Lz77rv5+flarVbTw7Zt24QQISEh0dHR+fn5J06c6OjouHTpkhKn5f0ACmWaIiIi+o+EOR3u2BTMqX3jZl9dZz4uh8Wm4JxxQF0V5xR48MgAAOAewtpKzbIsm83m3//+96NGjfL09Jw9e3Z6eroQYvz48d9++60sy7dv305JSQkMDHR1dVXygNXV1UrF3NzciIgISZIkSZo+fXpeXp4sy93d3VlZWeHh4Vqt1tfXNzY29syZM4Ppa+vWrcrzMhMmTNi7d6/VQ37vvfeU/xj38PBYvHixLMspKSkGg8HHxyc+Pj43N1cIERYWVl9fb6kyffr01NTUXu0MSTCyLJeXl8+aNcvf31/5xeLn5xcVFfXVV1/ZUteOlZp37tzp5+cnhHB3d4+JicnLy1P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            "text/plain": [
              "<IPython.core.display.Image object>"
            ]
          },
          "metadata": {},
          "execution_count": 39
        }
      ],
      "source": [
        "sample_decoder = decoder(\n",
        "    vocab_size=8192,\n",
        "    num_layers=2,\n",
        "    units=512,\n",
        "    d_model=128,\n",
        "    num_heads=4,\n",
        "    dropout=0.3,\n",
        "    name=\"sample_decoder\",\n",
        ")\n",
        "\n",
        "tf.keras.utils.plot_model(sample_decoder, to_file=\"decoder.png\", show_shapes=True)"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "yl0o97RJXAqw",
        "pycharm": {
          "name": "#%% md\n"
        }
      },
      "source": [
        "### Transformer\n",
        "\n",
        "Transformer consists of the encoder, decoder and a final linear layer. The output of the decoder is the input to the linear layer and its output is returned."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 40,
      "metadata": {
        "id": "TW-v7Fz6XAfC",
        "pycharm": {
          "name": "#%%\n"
        }
      },
      "outputs": [],
      "source": [
        "def transformer(\n",
        "    vocab_size, num_layers, units, d_model, num_heads, dropout, name=\"transformer\"\n",
        "):\n",
        "    inputs = tf.keras.Input(shape=(None,), name=\"inputs\")\n",
        "    dec_inputs = tf.keras.Input(shape=(None,), name=\"dec_inputs\")\n",
        "\n",
        "    enc_padding_mask = tf.keras.layers.Lambda(\n",
        "        create_padding_mask, output_shape=(1, 1, None), name=\"enc_padding_mask\"\n",
        "    )(inputs)\n",
        "    # mask the future tokens for decoder inputs at the 1st attention block\n",
        "    look_ahead_mask = tf.keras.layers.Lambda(\n",
        "        create_look_ahead_mask, output_shape=(1, None, None), name=\"look_ahead_mask\"\n",
        "    )(dec_inputs)\n",
        "    # mask the encoder outputs for the 2nd attention block\n",
        "    dec_padding_mask = tf.keras.layers.Lambda(\n",
        "        create_padding_mask, output_shape=(1, 1, None), name=\"dec_padding_mask\"\n",
        "    )(inputs)\n",
        "\n",
        "    enc_outputs = encoder(\n",
        "        vocab_size=vocab_size,\n",
        "        num_layers=num_layers,\n",
        "        units=units,\n",
        "        d_model=d_model,\n",
        "        num_heads=num_heads,\n",
        "        dropout=dropout,\n",
        "    )(inputs=[inputs, enc_padding_mask])\n",
        "\n",
        "    dec_outputs = decoder(\n",
        "        vocab_size=vocab_size,\n",
        "        num_layers=num_layers,\n",
        "        units=units,\n",
        "        d_model=d_model,\n",
        "        num_heads=num_heads,\n",
        "        dropout=dropout,\n",
        "    )(inputs=[dec_inputs, enc_outputs, look_ahead_mask, dec_padding_mask])\n",
        "\n",
        "    outputs = tf.keras.layers.Dense(units=vocab_size, name=\"outputs\")(dec_outputs)\n",
        "\n",
        "    return tf.keras.Model(inputs=[inputs, dec_inputs], outputs=outputs, name=name)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 41,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 470
        },
        "id": "aihJLVq_iJ_T",
        "outputId": "ecfaedc7-faa1-4cdf-c7e3-01ea0fca877e",
        "pycharm": {
          "name": "#%%\n"
        }
      },
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
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            "text/plain": [
              "<IPython.core.display.Image object>"
            ]
          },
          "metadata": {},
          "execution_count": 41
        }
      ],
      "source": [
        "sample_transformer = transformer(\n",
        "    vocab_size=8192,\n",
        "    num_layers=4,\n",
        "    units=512,\n",
        "    d_model=128,\n",
        "    num_heads=4,\n",
        "    dropout=0.3,\n",
        "    name=\"sample_transformer\",\n",
        ")\n",
        "\n",
        "tf.keras.utils.plot_model(\n",
        "    sample_transformer, to_file=\"transformer.png\", show_shapes=True\n",
        ")"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "9HD7GK-nh_KT",
        "pycharm": {
          "name": "#%% md\n"
        }
      },
      "source": [
        "## Train model"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "0_GCb0LaV1tI",
        "pycharm": {
          "name": "#%% md\n"
        }
      },
      "source": [
        "### Loss function\n",
        "\n",
        "Since the target sequences are padded, it is important to apply a padding mask when calculating the loss."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 42,
      "metadata": {
        "id": "UInVM9iGAMv1",
        "pycharm": {
          "name": "#%%\n"
        }
      },
      "outputs": [],
      "source": [
        "def loss_function(y_true, y_pred):\n",
        "    y_true = tf.reshape(y_true, shape=(-1, MAX_LENGTH - 1))\n",
        "\n",
        "    loss = tf.keras.losses.SparseCategoricalCrossentropy(\n",
        "        from_logits=True, reduction=\"none\"\n",
        "    )(y_true, y_pred)\n",
        "\n",
        "    mask = tf.cast(tf.not_equal(y_true, 0), tf.float32)\n",
        "    loss = tf.multiply(loss, mask)\n",
        "\n",
        "    return tf.reduce_mean(loss)"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "XvFM9ajSVybP",
        "pycharm": {
          "name": "#%% md\n"
        }
      },
      "source": [
        "### Custom learning rate\n",
        "\n",
        "Use the Adam optimizer with a custom learning rate scheduler according to the formula in the [paper](https://arxiv.org/abs/1706.03762).\n",
        "\n",
        "$$\\Large{lrate = d_{model}^{-0.5} * min(step{\\_}num^{-0.5}, step{\\_}num * warmup{\\_}steps^{-1.5})}$$"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 43,
      "metadata": {
        "id": "WW3SeLDhAMJd",
        "pycharm": {
          "name": "#%%\n"
        }
      },
      "outputs": [],
      "source": [
        "class CustomSchedule(tf.keras.optimizers.schedules.LearningRateSchedule):\n",
        "    def __init__(self, d_model, warmup_steps=4000):\n",
        "        super(CustomSchedule, self).__init__()\n",
        "\n",
        "        self.d_model = tf.constant(d_model, dtype=tf.float32)\n",
        "        self.warmup_steps = warmup_steps\n",
        "\n",
        "    def get_config(self):\n",
        "        return {\"d_model\": self.d_model, \"warmup_steps\": self.warmup_steps}\n",
        "\n",
        "    def __call__(self, step):\n",
        "        arg1 = tf.math.rsqrt(step)\n",
        "        arg2 = step * (self.warmup_steps**-1.5)\n",
        "\n",
        "        return tf.math.multiply(\n",
        "            tf.math.rsqrt(self.d_model), tf.math.minimum(arg1, arg2)\n",
        "        )"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 44,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 297
        },
        "id": "67BoG_UeaHHw",
        "outputId": "243067ab-6678-4a5e-957b-6ba7113d79ec",
        "pycharm": {
          "name": "#%%\n"
        }
      },
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "Text(0.5, 0, 'Train Step')"
            ]
          },
          "metadata": {},
          "execution_count": 44
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ],
      "source": [
        "sample_learning_rate = CustomSchedule(d_model=128)\n",
        "\n",
        "plt.plot(sample_learning_rate(tf.range(200000, dtype=tf.float32)))\n",
        "plt.ylabel(\"Learning Rate\")\n",
        "plt.xlabel(\"Train Step\")"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "cCqve3kwWCxd",
        "pycharm": {
          "name": "#%% md\n"
        }
      },
      "source": [
        "### Initialize and compile model\n",
        "\n",
        "Initialize and compile model with our predefined custom learning rate and Adam optimizer under the strategy scope."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 45,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "1QqojIa5WEQq",
        "outputId": "fabf5f26-294d-4a5c-bd98-4f9d4d05eb3e",
        "pycharm": {
          "name": "#%%\n"
        }
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Model: \"transformer\"\n",
            "__________________________________________________________________________________________________\n",
            " Layer (type)                   Output Shape         Param #     Connected to                     \n",
            "==================================================================================================\n",
            " inputs (InputLayer)            [(None, None)]       0           []                               \n",
            "                                                                                                  \n",
            " dec_inputs (InputLayer)        [(None, None)]       0           []                               \n",
            "                                                                                                  \n",
            " enc_padding_mask (Lambda)      (None, 1, 1, None)   0           ['inputs[0][0]']                 \n",
            "                                                                                                  \n",
            " encoder (Functional)           (None, None, 256)    3173632     ['inputs[0][0]',                 \n",
            "                                                                  'enc_padding_mask[0][0]']       \n",
            "                                                                                                  \n",
            " look_ahead_mask (Lambda)       (None, 1, None, Non  0           ['dec_inputs[0][0]']             \n",
            "                                e)                                                                \n",
            "                                                                                                  \n",
            " dec_padding_mask (Lambda)      (None, 1, 1, None)   0           ['inputs[0][0]']                 \n",
            "                                                                                                  \n",
            " decoder (Functional)           (None, None, 256)    3700992     ['dec_inputs[0][0]',             \n",
            "                                                                  'encoder[0][0]',                \n",
            "                                                                  'look_ahead_mask[0][0]',        \n",
            "                                                                  'dec_padding_mask[0][0]']       \n",
            "                                                                                                  \n",
            " outputs (Dense)                (None, None, 8279)   2127703     ['decoder[0][0]']                \n",
            "                                                                                                  \n",
            "==================================================================================================\n",
            "Total params: 9,002,327\n",
            "Trainable params: 9,002,327\n",
            "Non-trainable params: 0\n",
            "__________________________________________________________________________________________________\n"
          ]
        }
      ],
      "source": [
        "# clear backend\n",
        "tf.keras.backend.clear_session()\n",
        "\n",
        "learning_rate = CustomSchedule(D_MODEL)\n",
        "\n",
        "optimizer = tf.keras.optimizers.Adam(\n",
        "    learning_rate, beta_1=0.9, beta_2=0.98, epsilon=1e-9\n",
        ")\n",
        "\n",
        "\n",
        "def accuracy(y_true, y_pred):\n",
        "    # ensure labels have shape (batch_size, MAX_LENGTH - 1)\n",
        "    y_true = tf.reshape(y_true, shape=(-1, MAX_LENGTH - 1))\n",
        "    return tf.keras.metrics.sparse_categorical_accuracy(y_true, y_pred)\n",
        "\n",
        "\n",
        "# initialize and compile model within strategy scope\n",
        "with strategy.scope():\n",
        "    model = transformer(\n",
        "        vocab_size=VOCAB_SIZE,\n",
        "        num_layers=NUM_LAYERS,\n",
        "        units=UNITS,\n",
        "        d_model=D_MODEL,\n",
        "        num_heads=NUM_HEADS,\n",
        "        dropout=DROPOUT,\n",
        "    )\n",
        "\n",
        "    model.compile(optimizer=optimizer, loss=loss_function, metrics=[accuracy])\n",
        "\n",
        "model.summary()"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "vDMd69urLNuc",
        "pycharm": {
          "name": "#%% md\n"
        }
      },
      "source": [
        "### Fit model\n",
        "\n",
        "Train our transformer by simply calling `model.fit()`"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 46,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "d7iahRzlLNG2",
        "outputId": "05b3f0ce-8ea2-4f1c-fa9f-8080a572d7f0",
        "pycharm": {
          "name": "#%%\n"
        }
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Epoch 1/40\n",
            "690/690 [==============================] - 47s 56ms/step - loss: 2.0957 - accuracy: 0.0436\n",
            "Epoch 2/40\n",
            "690/690 [==============================] - 39s 56ms/step - loss: 1.4928 - accuracy: 0.0777\n",
            "Epoch 3/40\n",
            "690/690 [==============================] - 39s 56ms/step - loss: 1.3905 - accuracy: 0.0847\n",
            "Epoch 4/40\n",
            "690/690 [==============================] - 39s 56ms/step - loss: 1.3319 - accuracy: 0.0891\n",
            "Epoch 5/40\n",
            "690/690 [==============================] - 39s 57ms/step - loss: 1.2813 - accuracy: 0.0933\n",
            "Epoch 6/40\n",
            "690/690 [==============================] - 39s 57ms/step - loss: 1.2349 - accuracy: 0.0969\n",
            "Epoch 7/40\n",
            "690/690 [==============================] - 39s 57ms/step - loss: 1.1810 - accuracy: 0.1011\n",
            "Epoch 8/40\n",
            "690/690 [==============================] - 39s 57ms/step - loss: 1.1202 - accuracy: 0.1065\n",
            "Epoch 9/40\n",
            "690/690 [==============================] - 39s 57ms/step - loss: 1.0634 - accuracy: 0.1122\n",
            "Epoch 10/40\n",
            "690/690 [==============================] - 39s 57ms/step - loss: 1.0112 - accuracy: 0.1178\n",
            "Epoch 11/40\n",
            "690/690 [==============================] - 39s 57ms/step - loss: 0.9631 - accuracy: 0.1237\n",
            "Epoch 12/40\n",
            "690/690 [==============================] - 39s 57ms/step - loss: 0.9197 - accuracy: 0.1294\n",
            "Epoch 13/40\n",
            "690/690 [==============================] - 39s 57ms/step - loss: 0.8790 - accuracy: 0.1349\n",
            "Epoch 14/40\n",
            "690/690 [==============================] - 39s 57ms/step - loss: 0.8431 - accuracy: 0.1401\n",
            "Epoch 15/40\n",
            "690/690 [==============================] - 39s 57ms/step - loss: 0.8087 - accuracy: 0.1452\n",
            "Epoch 16/40\n",
            "690/690 [==============================] - 39s 57ms/step - loss: 0.7786 - accuracy: 0.1503\n",
            "Epoch 17/40\n",
            "690/690 [==============================] - 39s 57ms/step - loss: 0.7506 - accuracy: 0.1547\n",
            "Epoch 18/40\n",
            "690/690 [==============================] - 39s 57ms/step - loss: 0.7245 - accuracy: 0.1590\n",
            "Epoch 19/40\n",
            "690/690 [==============================] - 39s 57ms/step - loss: 0.7008 - accuracy: 0.1631\n",
            "Epoch 20/40\n",
            "690/690 [==============================] - 39s 57ms/step - loss: 0.6785 - accuracy: 0.1670\n",
            "Epoch 21/40\n",
            "690/690 [==============================] - 39s 57ms/step - loss: 0.6589 - accuracy: 0.1706\n",
            "Epoch 22/40\n",
            "690/690 [==============================] - 39s 57ms/step - loss: 0.6397 - accuracy: 0.1741\n",
            "Epoch 23/40\n",
            "690/690 [==============================] - 39s 57ms/step - loss: 0.6228 - accuracy: 0.1770\n",
            "Epoch 24/40\n",
            "690/690 [==============================] - 39s 57ms/step - loss: 0.6055 - accuracy: 0.1803\n",
            "Epoch 25/40\n",
            "690/690 [==============================] - 39s 57ms/step - loss: 0.5905 - accuracy: 0.1832\n",
            "Epoch 26/40\n",
            "690/690 [==============================] - 39s 57ms/step - loss: 0.5763 - accuracy: 0.1860\n",
            "Epoch 27/40\n",
            "690/690 [==============================] - 39s 57ms/step - loss: 0.5626 - accuracy: 0.1883\n",
            "Epoch 28/40\n",
            "690/690 [==============================] - 40s 57ms/step - loss: 0.5502 - accuracy: 0.1909\n",
            "Epoch 29/40\n",
            "690/690 [==============================] - 39s 57ms/step - loss: 0.5375 - accuracy: 0.1931\n",
            "Epoch 30/40\n",
            "690/690 [==============================] - 42s 60ms/step - loss: 0.5264 - accuracy: 0.1957\n",
            "Epoch 31/40\n",
            "690/690 [==============================] - 39s 57ms/step - loss: 0.5147 - accuracy: 0.1980\n",
            "Epoch 32/40\n",
            "690/690 [==============================] - 39s 57ms/step - loss: 0.5043 - accuracy: 0.1998\n",
            "Epoch 33/40\n",
            "690/690 [==============================] - 40s 57ms/step - loss: 0.4945 - accuracy: 0.2019\n",
            "Epoch 34/40\n",
            "690/690 [==============================] - 39s 57ms/step - loss: 0.4848 - accuracy: 0.2040\n",
            "Epoch 35/40\n",
            "690/690 [==============================] - 39s 57ms/step - loss: 0.4763 - accuracy: 0.2056\n",
            "Epoch 36/40\n",
            "690/690 [==============================] - 39s 56ms/step - loss: 0.4678 - accuracy: 0.2076\n",
            "Epoch 37/40\n",
            "690/690 [==============================] - 39s 57ms/step - loss: 0.4589 - accuracy: 0.2094\n",
            "Epoch 38/40\n",
            "690/690 [==============================] - 39s 57ms/step - loss: 0.4515 - accuracy: 0.2110\n",
            "Epoch 39/40\n",
            "690/690 [==============================] - 39s 57ms/step - loss: 0.4439 - accuracy: 0.2126\n",
            "Epoch 40/40\n",
            "690/690 [==============================] - 39s 57ms/step - loss: 0.4370 - accuracy: 0.2139\n"
          ]
        },
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<keras.callbacks.History at 0x7f16cbfaf250>"
            ]
          },
          "metadata": {},
          "execution_count": 46
        }
      ],
      "source": [
        "model.fit(dataset, epochs=EPOCHS)"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "pycharm": {
          "name": "#%% md\n"
        },
        "id": "xRsSO_I3NdRt"
      },
      "source": [
        "### Save and load model"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 47,
      "metadata": {
        "pycharm": {
          "name": "#%%\n"
        },
        "id": "lDd64uI9NdRt"
      },
      "outputs": [],
      "source": [
        "filename = \"model.h5\"\n",
        "tf.keras.models.save_model(model, filepath=filename, include_optimizer=False)"
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "del model\n",
        "tf.keras.backend.clear_session()"
      ],
      "metadata": {
        "id": "W0fspHMnZPJl"
      },
      "execution_count": 48,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "model = tf.keras.models.load_model(\n",
        "    filename,\n",
        "    custom_objects={\n",
        "        \"PositionalEncoding\": PositionalEncoding,\n",
        "        \"MultiHeadAttentionLayer\": MultiHeadAttentionLayer,\n",
        "    },\n",
        "    compile=False,\n",
        ")"
      ],
      "metadata": {
        "id": "iy9YljYEZQmX"
      },
      "execution_count": 49,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "p1DUXog6WqV-",
        "pycharm": {
          "name": "#%% md\n"
        }
      },
      "source": [
        "## Evaluate and predict\n",
        "\n",
        "The following steps are used for evaluation:\n",
        "\n",
        "* Apply the same preprocessing method we used to create our dataset for the input sentence.\n",
        "* Tokenize the input sentence and add `START_TOKEN` and `END_TOKEN`. \n",
        "* Calculate the padding masks and the look ahead masks.\n",
        "* The decoder then outputs the predictions by looking at the encoder output and its own output.\n",
        "* Select the last word and calculate the argmax of that.\n",
        "* Concatentate the predicted word to the decoder input as pass it to the decoder.\n",
        "* In this approach, the decoder predicts the next word based on the previous words it predicted.\n",
        "\n",
        "Note: The model used here has less capacity and trained on a subset of the full dataset, hence its performance can be further improved."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 50,
      "metadata": {
        "id": "_NjsS3zuAbRn",
        "pycharm": {
          "name": "#%%\n"
        }
      },
      "outputs": [],
      "source": [
        "def evaluate(sentence):\n",
        "    sentence = preprocess_sentence(sentence)\n",
        "\n",
        "    sentence = tf.expand_dims(\n",
        "        START_TOKEN + tokenizer.encode(sentence) + END_TOKEN, axis=0\n",
        "    )\n",
        "\n",
        "    output = tf.expand_dims(START_TOKEN, 0)\n",
        "\n",
        "    for i in range(MAX_LENGTH):\n",
        "        predictions = model(inputs=[sentence, output], training=False)\n",
        "\n",
        "        # select the last word from the seq_len dimension\n",
        "        predictions = predictions[:, -1:, :]\n",
        "        predicted_id = tf.cast(tf.argmax(predictions, axis=-1), tf.int32)\n",
        "\n",
        "        # return the result if the predicted_id is equal to the end token\n",
        "        if tf.equal(predicted_id, END_TOKEN[0]):\n",
        "            break\n",
        "\n",
        "        # concatenated the predicted_id to the output which is given to the decoder\n",
        "        # as its input.\n",
        "        output = tf.concat([output, predicted_id], axis=-1)\n",
        "\n",
        "    return tf.squeeze(output, axis=0)\n",
        "\n",
        "\n",
        "def predict(sentence):\n",
        "    prediction = evaluate(sentence)\n",
        "    predicted_sentence = tokenizer.decode(\n",
        "        [i for i in prediction if i < tokenizer.vocab_size]\n",
        "    )\n",
        "    return predicted_sentence"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "9J3Jdtk2P-RT",
        "pycharm": {
          "name": "#%% md\n"
        }
      },
      "source": [
        "Let's test our model!"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 51,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 36
        },
        "id": "6IeMSGEgRTvC",
        "outputId": "53e561e8-b34b-4c7a-d93c-3aa2a7b9ed46",
        "pycharm": {
          "name": "#%%\n"
        }
      },
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "'i am gonna have to see what else do you since i got a few hours before the andy has another look ?'"
            ],
            "application/vnd.google.colaboratory.intrinsic+json": {
              "type": "string"
            }
          },
          "metadata": {},
          "execution_count": 51
        }
      ],
      "source": [
        "predict(\"Where have you been?\")"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 52,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 36
        },
        "id": "ivVgU6ydRV8R",
        "outputId": "eae03bb2-2ff6-4d60-bc0f-0779f8ba01ec",
        "pycharm": {
          "name": "#%%\n"
        }
      },
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "'i just want to go home , skipper . good luck . . .'"
            ],
            "application/vnd.google.colaboratory.intrinsic+json": {
              "type": "string"
            }
          },
          "metadata": {},
          "execution_count": 52
        }
      ],
      "source": [
        "predict(\"It's a trap\")"
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "while True:\n",
        "  x= input(\"\")\n",
        "  #print(f\"Input: {x}\")\n",
        "  z = predict(x)\n",
        "  print(f\"Output: {z}\\n\")\n",
        "  if x=='bye':\n",
        "    break"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "jeS-Dys1qVHG",
        "outputId": "68127309-0505-4b07-d436-7c6bff1c43eb"
      },
      "execution_count": 65,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "hi\n",
            "Output: hi .\n",
            "\n",
            "hey\n",
            "Output: hey , wait a minute\n",
            "\n",
            "how are you\n",
            "Output: i am fine .\n",
            "\n",
            "how do you do\n",
            "Output: do you have any particular reason to say that ?\n",
            "\n",
            "summarize today\n",
            "Output: what the fuck can i do that ?\n",
            "\n",
            "stop cursing at me\n",
            "Output: come on ! shit ! i am coming !\n",
            "\n",
            "bye\n",
            "Output: bye .\n",
            "\n"
          ]
        }
      ]
    }
  ],
  "metadata": {
    "accelerator": "GPU",
    "colab": {
      "collapsed_sections": [],
      "provenance": [],
      "include_colab_link": true
    },
    "kernelspec": {
      "display_name": "Python 3.8.13 ('chatbot')",
      "language": "python",
      "name": "python3"
    },
    "language_info": {
      "codemirror_mode": {
        "name": "ipython",
        "version": 3
      },
      "file_extension": ".py",
      "mimetype": "text/x-python",
      "name": "python",
      "nbconvert_exporter": "python",
      "pygments_lexer": "ipython3",
      "version": "3.8.13"
    },
    "vscode": {
      "interpreter": {
        "hash": "ae3971eee9233ad9f55ed246ea12350df9b5f24d65dffa1d8809b3ad9991640d"
      }
    },
    "gpuClass": "standard"
  },
  "nbformat": 4,
  "nbformat_minor": 0
}