4_CTC.ipynb

{
  "cells": [
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "85SVa0-CfOX-"
      },
      "source": [
        "# RNN & CTC"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "h5MnkfYV37FP"
      },
      "source": [
        "- RNN 모델과 CTC loss를 이용하여 오디오와 텍스트가 정렬이 안되어도 학습이 가능한 모델을 구현"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 1,
      "metadata": {
        "id": "3UIsvZiDfa_d"
      },
      "outputs": [],
      "source": [
        "import torch\n",
        "import torchaudio  #feature extraction\n",
        "import torch.nn as nn   # RNN module\n",
        "import IPython.display as ipd\n",
        "import matplotlib.pyplot as plt  #for visualization\n",
        "%matplotlib inline"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 2,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "iaM3VC5H37FQ",
        "outputId": "5e1169b6-bc8d-4bb8-ba3d-8f7e7921d3b9"
      },
      "outputs": [
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "--2023-07-11 08:35:52--  https://github.com/dbstj1231/2023_AI_Academy_ASR/raw/main/set.wav\n",
            "Resolving github.com (github.com)... 140.82.112.4\n",
            "Connecting to github.com (github.com)|140.82.112.4|:443... connected.\n",
            "HTTP request sent, awaiting response... 302 Found\n",
            "Location: https://raw.githubusercontent.com/dbstj1231/2023_AI_Academy_ASR/main/set.wav [following]\n",
            "--2023-07-11 08:35:52--  https://raw.githubusercontent.com/dbstj1231/2023_AI_Academy_ASR/main/set.wav\n",
            "Resolving raw.githubusercontent.com (raw.githubusercontent.com)... 185.199.108.133, 185.199.109.133, 185.199.110.133, ...\n",
            "Connecting to raw.githubusercontent.com (raw.githubusercontent.com)|185.199.108.133|:443... connected.\n",
            "HTTP request sent, awaiting response... 200 OK\n",
            "Length: 18998 (19K) [audio/wav]\n",
            "Saving to: ‘set.wav’\n",
            "\n",
            "set.wav             100%[===================>]  18.55K  --.-KB/s    in 0.001s  \n",
            "\n",
            "2023-07-11 08:35:52 (15.2 MB/s) - ‘set.wav’ saved [18998/18998]\n",
            "\n"
          ]
        }
      ],
      "source": [
        "!wget https://github.com/dbstj1231/2023_AI_Academy_ASR/raw/main/set.wav"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 3,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "SXAe3LsX49iA",
        "outputId": "dfe74166-0be3-4023-b158-e0eff4fae796"
      },
      "outputs": [
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "sample_data  set.wav\n"
          ]
        }
      ],
      "source": [
        "!ls"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 4,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 74
        },
        "id": "F6b7lhoA37FR",
        "outputId": "2b86f841-5da5-461b-8de3-3077f77b0e17"
      },
      "outputs": [
        {
          "data": {
            "text/html": [
              "\n",
              "                <audio  controls=\"controls\" >\n",
              "                    <source src=\"data:audio/x-wav;base64,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\" type=\"audio/x-wav\" />\n",
              "                    Your browser does not support the audio element.\n",
              "                </audio>\n",
              "              "
            ],
            "text/plain": [
              "<IPython.lib.display.Audio object>"
            ]
          },
          "execution_count": 4,
          "metadata": {},
          "output_type": "execute_result"
        }
      ],
      "source": [
        "ipd.Audio(\"set.wav\")"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 5,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "e5LXPh4q37FR",
        "outputId": "ff7ecd37-cfe7-4bb1-c8a7-1f18a7baee34"
      },
      "outputs": [
        {
          "data": {
            "text/plain": [
              "(tensor([[ 0.0000e+00,  6.1035e-05, -3.0518e-05,  ...,  3.0518e-05,\n",
              "           1.2207e-04, -1.5259e-04]]),\n",
              " 16000)"
            ]
          },
          "execution_count": 5,
          "metadata": {},
          "output_type": "execute_result"
        }
      ],
      "source": [
        "y,sr = torchaudio.load(\"set.wav\")\n",
        "y,sr"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 6,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "H2agEpOm37FR",
        "outputId": "3539c4b5-7bce-4d6e-ef5d-2a73281c398e"
      },
      "outputs": [
        {
          "data": {
            "text/plain": [
              "torch.Size([1, 9424])"
            ]
          },
          "execution_count": 6,
          "metadata": {},
          "output_type": "execute_result"
        }
      ],
      "source": [
        "y.shape"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 7,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "BLgWlvQ637FR",
        "outputId": "143781af-286e-4c50-a704-09502b9f0b50"
      },
      "outputs": [
        {
          "data": {
            "text/plain": [
              "0.589"
            ]
          },
          "execution_count": 7,
          "metadata": {},
          "output_type": "execute_result"
        }
      ],
      "source": [
        "y.shape[1]/ sr"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 8,
      "metadata": {
        "id": "dBaKYw_537FR"
      },
      "outputs": [],
      "source": [
        "n_fft = 512\n",
        "hop_length = n_fft // 2\n",
        "n_mels = 64\n",
        "sr = 16000\n",
        "\n",
        "mel_converter = torchaudio.transforms.MelSpectrogram(n_fft=n_fft,\n",
        "                                                     n_mels=n_mels,\n",
        "                                                     sample_rate=sr,\n",
        "                                                     hop_length=hop_length)\n",
        "\n",
        "db_converter = torchaudio.transforms.AmplitudeToDB()"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 9,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 448
        },
        "id": "6BhdEJ0-37FR",
        "outputId": "f302ad62-d96f-4e14-a64a-7098d9b438c8"
      },
      "outputs": [
        {
          "data": {
            "text/plain": [
              "<matplotlib.colorbar.Colorbar at 0x7f631d9dfe20>"
            ]
          },
          "execution_count": 9,
          "metadata": {},
          "output_type": "execute_result"
        },
        {
          "data": {
            "image/png": "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",
            "text/plain": [
              "<Figure size 640x480 with 2 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "spec = mel_converter(y)\n",
        "plt.imshow(spec[0],origin=\"lower\",interpolation='nearest',aspect='auto')\n",
        "plt.colorbar()"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 10,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 448
        },
        "id": "Pw3dleKB37FR",
        "outputId": "67e8c72f-cda4-4b54-cc2f-9da9666908fb"
      },
      "outputs": [
        {
          "data": {
            "text/plain": [
              "<matplotlib.colorbar.Colorbar at 0x7f631b767c70>"
            ]
          },
          "execution_count": 10,
          "metadata": {},
          "output_type": "execute_result"
        },
        {
          "data": {
            "image/png": "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",
            "text/plain": [
              "<Figure size 640x480 with 2 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "db_spec =db_converter(spec)\n",
        "plt.imshow(db_spec[0],origin=\"lower\",interpolation='nearest',aspect='auto')\n",
        "plt.colorbar()"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 11,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 448
        },
        "id": "BP1L81eC37FR",
        "outputId": "2b01794f-d671-4931-a439-e31d52b22841"
      },
      "outputs": [
        {
          "data": {
            "text/plain": [
              "[<matplotlib.lines.Line2D at 0x7f631b7f6aa0>]"
            ]
          },
          "execution_count": 11,
          "metadata": {},
          "output_type": "execute_result"
        },
        {
          "data": {
            "image/png": "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",
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "plt.plot(y[0])"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 12,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 448
        },
        "id": "2AoGqo8G37FS",
        "outputId": "f99f4325-c599-4d26-cd03-1a13b161d74e"
      },
      "outputs": [
        {
          "data": {
            "text/plain": [
              "[<matplotlib.lines.Line2D at 0x7f631b6a4760>]"
            ]
          },
          "execution_count": 12,
          "metadata": {},
          "output_type": "execute_result"
        },
        {
          "data": {
            "image/png": "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",
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "x = torch.arange(len(y[0]))/sr\n",
        "plt.plot(x,y[0])"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "CvdOU49bkP5V"
      },
      "source": [
        "# gen character dict\n",
        "```\n",
        "'a' : 1 , 'b' : 2 , 'c':3 ... 'z':26\n",
        "```"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 13,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "bl-PZUX-i4NV",
        "outputId": "6294e72c-b5e0-46d4-f90e-5bcfa5f40b9b"
      },
      "outputs": [
        {
          "data": {
            "text/plain": [
              "{'a': 1,\n",
              " 'b': 2,\n",
              " 'c': 3,\n",
              " 'd': 4,\n",
              " 'e': 5,\n",
              " 'f': 6,\n",
              " 'g': 7,\n",
              " 'h': 8,\n",
              " 'i': 9,\n",
              " 'j': 10,\n",
              " 'k': 11,\n",
              " 'l': 12,\n",
              " 'm': 13,\n",
              " 'n': 14,\n",
              " 'o': 15,\n",
              " 'p': 16,\n",
              " 'q': 17,\n",
              " 'r': 18,\n",
              " 's': 19,\n",
              " 't': 20,\n",
              " 'u': 21,\n",
              " 'v': 22,\n",
              " 'w': 23,\n",
              " 'x': 24,\n",
              " 'y': 25,\n",
              " 'z': 26,\n",
              " 'blk': 0}"
            ]
          },
          "execution_count": 13,
          "metadata": {},
          "output_type": "execute_result"
        }
      ],
      "source": [
        "# gen character dict\n",
        "# frame 10\n",
        "# 1 - s\n",
        "# 2 - s\n",
        "# 3 - s\n",
        "# 4~5 -e\n",
        "# 6~9 t\n",
        "#\n",
        "#  sssss___eee___t  -> set\n",
        "#  hello\n",
        "#  hhhheeeelllllooo -> helo\n",
        "#  hhhheeeell__looo -> hello\n",
        "\n",
        "import string\n",
        "\n",
        "char_set = dict(zip(string.ascii_lowercase, range(1,27)))\n",
        "char_set['blk']=0\n",
        "\n",
        "char_set\n"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "PPIdnVQmfgKD"
      },
      "source": [
        "### torch.nn.RNN\n",
        "\n",
        "- input: tensor of shape $(L,H_{in})$ for unbatched input, $(L,N,H_{in}​)$ when `batch_first=False` or $(N,L,H_{in}​)$ when batch_first=True containing the features of the input sequence. The input can also be a packed variable length sequence. See `torch.nn.utils.rnn.pack_padded_sequence()` or `torch.nn.utils.rnn.pack_sequence()` for details.\n",
        "\n",
        "$$\n",
        "\\begin{aligned}\n",
        "N =& \\text{batch size} \\\\\n",
        "L =& \\text{sequence length} \\\\\n",
        "H_{in} =& \\text{input size} \\\\\n",
        "\\end{aligned}\n",
        "$$\n",
        "\n",
        "\n",
        "\n",
        "### arg of nn.RNN\n",
        ">input_size: The number of expected features in the input `x`\n",
        ">        \n",
        ">hidden_size: The number of features in the hidden state `h`\n",
        ">        \n",
        ">num_layers: Number of recurrent layers. E.g., setting ``num_layers=2``\n",
        ">            would mean stacking two RNNs together to form a `stacked RNN`,\n",
        ">            with the second RNN taking in outputs of the first RNN and\n",
        ">            computing the final results. Default: 1"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 14,
      "metadata": {
        "id": "ni4_T5yBllil"
      },
      "outputs": [],
      "source": [
        "class RNNModel(nn.Module):\n",
        "  def __init__(self):\n",
        "    super().__init__()\n",
        "    self.n_classes = 27 # # of char_set\n",
        "\n",
        "    self.n_fft = 512\n",
        "    self.n_mels = 64      # input_size of nn.RNN\n",
        "    self.hop_length = self.n_fft // 2\n",
        "    self.sr = 16000\n",
        "    self.hidden_dim = 64\n",
        "    self.n_char = 27\n",
        "\n",
        "    self.mel_converter = torchaudio.transforms.MelSpectrogram(n_fft =self.n_fft,\n",
        "                                                              n_mels = self.n_mels,\n",
        "                                                              hop_length=self.hop_length,\n",
        "                                                              sample_rate=self.sr\n",
        "                                                              )\n",
        "    self.db_converter  = torchaudio.transforms.AmplitudeToDB()\n",
        "\n",
        "\n",
        "    # TODO:define rnn layer and output layer\n",
        "    # input : n_mels hidden_dim = hidden_dim batch_first=True num_layer = 2\n",
        "    self.rnn = nn.RNN(self.n_mels, self.hidden_dim, 2, batch_first=True)\n",
        "    self.output_layer = nn.RNN(self.hidden_dim, self.n_char, 1, batch_first=True)\n",
        "\n",
        "  def forward(self,x):\n",
        "    # TODO: define forward\n",
        "    # feature extraction\n",
        "    # print(x.shape)\n",
        "\n",
        "    x=self.mel_converter(x)\n",
        "    x=self.db_converter(x)     # [1, n_mels, n_frames]\n",
        "\n",
        "    # print(x.shape)\n",
        "\n",
        "\n",
        "    x = x.transpose(1,2)  # [1, n_frames, n_mels]\n",
        "\n",
        "    # print(x.shape)\n",
        "\n",
        "    x, _ = self.rnn(x)\n",
        "\n",
        "    # print(x.shape)\n",
        "\n",
        "    x, _ = self.output_layer(x)\n",
        "    # print(x.shape)\n",
        "\n",
        "    # [a... blk] [  ]  [  ]\n",
        "    x = torch.nn.functional.log_softmax(x, dim=-1)\n",
        "\n",
        "    return x\n",
        "\n",
        "model = RNNModel()"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 15,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "G4x1RWZ437FS",
        "outputId": "e230339f-d4b0-4457-c818-00ed4c8d008f"
      },
      "outputs": [
        {
          "data": {
            "text/plain": [
              "torch.Size([1, 37, 27])"
            ]
          },
          "execution_count": 15,
          "metadata": {},
          "output_type": "execute_result"
        }
      ],
      "source": [
        "# check shape\n",
        "# torch.Size([1, 9424])\n",
        "# torch.Size([1, 64, 37])\n",
        "# torch.Size([1, 37, 64])\n",
        "# torch.Size([1, 37, 64])\n",
        "# torch.Size([1, 37, 27])\n",
        "\n",
        "out = model(y)\n",
        "out.shape\n"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 16,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 448
        },
        "id": "c19GfJIi-332",
        "outputId": "616c4e9c-fbd3-4819-f96d-6862c3847829"
      },
      "outputs": [
        {
          "data": {
            "text/plain": [
              "<matplotlib.colorbar.Colorbar at 0x7f631b583fd0>"
            ]
          },
          "execution_count": 16,
          "metadata": {},
          "output_type": "execute_result"
        },
        {
          "data": {
            "image/png": "iVBORw0KGgoAAAANSUhEUgAAAZMAAAGdCAYAAADXFp4RAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjcuMSwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/bCgiHAAAACXBIWXMAAA9hAAAPYQGoP6dpAABLHUlEQVR4nO3deXxU1d0/8M9km+wJ2RPJHkjYAgoSgopshaAFecS6VojlweUB+xgQSVooWOsr1lKxCkX7/CjI84CKBdxaESQSqyZBEATUDCQsCdlYQhYSkkwy9/cHZTQwmXwvd8Jc0s+b1329yOQz956ZO8nJOfeecwyKoiggIiLSwMXZBSAiousfKxMiItKMlQkREWnGyoSIiDRjZUJERJqxMiEiIs1YmRARkWasTIiISDM3ZxfgchaLBZWVlfDz84PBYHB2cYjoOqAoChobGxEVFQUXl577G7mlpQVtbW2a9+Ph4QFPT08HlEg/dFeZVFZWIjo62tnFIKLrUHl5Ofr27dsj+25paUF8rC+qT3Vo3ldERASOHTvWqyqUHqtMVq1ahT/84Q+orq7G0KFD8eqrr2LkyJHdPs/Pzw8AcHufB+Fm8LCbHfFhjags7xwZJsrdHlsqyn25VbY/ZWSDKNduFv4lddhXFOsz/JQoNyy4UpT7oipOlDObXUW50De9RLmK6e2inO8B2Q/k+SGtolx6P9nnYPfnA0S556a9Jcq9cmy8KGd5K1SU8z1+QZQrfUT2ayBlmezzUvZQvCg34s5Dotw/v+7+fba0tKBiyfPW3x89oa2tDdWnOnBsbyz8/a6+9dPQaEH88BNoa2tjZdKdt99+G/Pnz8drr72GtLQ0vPzyy5g8eTJMJhPCwsLsPvdS15abwQNuLvYrE6Ovu6g8rt6yE+bha/941v0ZZftTvGW/vCzCX8IG4QfP1ccoynmI3z/Z/ixm2cfJzV32Oly8ZJWJ9Hy4eMm6Td19ZJ8DF+H58PaTnV834XnrEL5/bm6yafdcvITnrZufx0uk50P68+biJf+Fey26xv39XDRVJr1Vj7wjL730EubMmYNHHnkEAwcOxGuvvQZvb2/89a9/7YnDERFdMx2KRfPWGzm8Mmlra8PevXsxceLEHw7i4oKJEyeioKDginxraysaGho6bUREemWBonnrjRxemZw5cwYdHR0IDw/v9Hh4eDiqq6uvyOfm5iIgIMC68eI7EemZxQH/eiOnd/zl5OSgvr7eupWXlzu7SEREpJLDK5OQkBC4urqipqbznVY1NTWIiIi4Im80GuHv799pIyLSqw5F0bz1lOPHj2P27NmIj4+Hl5cXEhMTsXTpUtHYmIKCAowfPx4+Pj7w9/fHmDFjcOGC7I5AoAcqEw8PDwwfPhw7d+60PmaxWLBz506kp6c7+nBERNeUnq+ZFBcXw2Kx4PXXX8e3336LFStW4LXXXsOvfvUru88rKChARkYGJk2ahN27d+Orr77CvHnzVA0A7ZFbg+fPn49Zs2ZhxIgRGDlyJF5++WU0NTXhkUceEe+jfmxSt7eQbjkWbvf7l5grfES57WbZuAElUtbnGfGW7J73yvGy/YUelX0IT/nJxiGcGlknyjVWy17H4tvfF+VeSbhblBsYK+vyrCyME+VCPpXditr/Jtk4neIhss9ftFutKJcWelyU+3Cg7Lj1CbLPvcGlRZT7/ldxolzMx2ZR7rvbZa8Dkrt9r8PJMi6/2choNMJolN0e3pWMjAxkZGRYv05ISIDJZMLq1auxfPnyLp+XlZWFX/7yl8jOzrY+lpycrOrYPXLN5L777sPy5cvxm9/8BsOGDcP+/fuxbdu2Ky7KExFdbyxQ0KFhu9QyiY6O7nTzUW5ubo+Ut76+HkFBQV1+/9SpUygqKkJYWBhGjx6N8PBw3H777fj8889VHafHRsDPmzcP8+bN66ndExE5hdauqkvPLS8v73SNWGurxJaSkhK8+uqrdlslR48eBQAsW7YMy5cvx7Bhw7B+/XpMmDABhw4dQr9+/UTHcvrdXERE/44uv/HIXmWSnZ0Ng8FgdysuLu70nIqKCmRkZOBnP/sZ5syZ0+W+LZaL3eyPPfYYHnnkEdx4441YsWIFkpOTVQ00191Ej0REeqb1jqyree6CBQuQmZlpN5OQkGD9f2VlJcaNG4fRo0fjL3/5i93nRUZGAgAGDhzY6fEBAwagrKxMXEZWJkREKlj+tWl5vlqhoaEIDZXdWFNRUYFx48Zh+PDhWLt2bbd3ZMXFxSEqKgomk6nT44cPH8aUKVPEZWQ3FxFRL1FRUYGxY8ciJiYGy5cvx+nTp1FdXd1p9pGKigqkpKRg9+7dAC5Ojrlw4UK88sor+Nvf/oaSkhIsWbIExcXFmD17tvjYbJkQEalw6a4sLc/vKTt27EBJSQlKSkquWNdF+Vf3mtlshslkQnNzs/V7Tz31FFpaWpCVlYXa2loMHToUO3bsQGJiovjYrEyIiFToUC5uWp7fUzIzM7u9thIXF2etWH4sOzu70zgTtViZEBGp4IxrJtcD3VYmAd+dg5ur/fuuY0NPi/Z1cq1sBLfrPNlI5Qt9ZItK+WyWrYzoVi9bedD7tGyxqPoLstMa7XVOlPumj2yE9O5G2Qp77s2yP82OngkW5Vx+Ilu24NwZb1HO11X2el1dZL8WPA2yZV63fDVClPOtlw337nNE9nkpj5Yt3uXeLLvE6nWiXpQbF/W9KPfG6VHdh9xlo+6p5+i2MiEi0iMLDOjQMH+L5Xqc+0WAlQkRkQoW5eKm5fm9EW8NJiIizdgyISJSoUNjN5eW5+oZKxMiIhVYmdjGbi4iItKMLRMiIhUsigEWRcPdXBqeq2esTIiIVGA3l23s5iIiIs102zJpDfdFh5v9NeD93GVrhJffIbuxO6pDNhK45mQfUS7gi69EuaTGFFGufmCgKBcz6qQod+R8mCjXXikbOX7uBlnOIBuYjfGxR0S5T7cMF+VchzR3HwLwv0dHinKhPk2i3MHWKFEOHsIR9Wdln2efEtnMAHEJF0S5IX0qRbn9BTeKcuLBew2CGScuyGYZcIQOuKBDw9/h166k15ZuKxMiIj1SNF4zUXjNhIiIeM3ENl4zISIizdgyISJSoUNxQYei4ZpJL52bi5UJEZEKFhhg0dCpY+nBlRadid1cRESkGVsmREQq8AK8baxMiIhU0H7NhN1cRERENum2ZXJquBGuRvtrwP9X4LeifW03DBblKo+GiHIBxbK3zXVQsiiH5lZRrDpdtrsos2yN+gEB1aLcoSDZCO7vT4eLckbhnzB/PyQ7bz7CP/SGRctmBpAqa5DNhPB/VYI1zAH4fu8hyp2PEcVwblCgKOfZKJv5oTVA9rk/M0SWq2/3EuX8D3dfvo5W2WtwhIsX4Lls7+V0W5kQEemRReN0Krybi4iIqAtsmRARqcAL8LaxMiEiUsECFw5atIGVCRGRCh2KAR0aZv7V8lw94zUTIiLSjC0TIiIVtC+OxW4uIqJ/exbFBRYNF+AtvfQCPLu5iIhIM922TFxuroOLt/0R8Kfb/UT7cvdrk+UO+IhyPtWytboVN1ld3TBINnIcgbLXEeVbL8o1tnvKjiu8Xth0UnY+vO4+I8qFyg4L7JLNXLD3SJxsf7LTi7GDTaLcF8fjRbkbDppFuZoRshkO/JLqRLn6Om9R7nhjsCgXsVv2OfWeIcvVD2zvNmO50H3GUfTczXX8+HE899xzyMvLQ3V1NaKiovDzn/8cv/71r+Hh0fUMC9XV1Vi4cCF27NiBxsZGJCcn49e//jVmzJghPrZuKxMiIj2yQNsdWcK/Va5KcXExLBYLXn/9dSQlJeHQoUOYM2cOmpqasHz58i6fN3PmTNTV1eH9999HSEgINm7ciHvvvRd79uzBjTfeKDq2w7u5li1bBoPB0GlLSUlx9GGIiOgyGRkZWLt2LSZNmoSEhARMmzYNTz/9NLZs2WL3eV9++SWefPJJjBw5EgkJCVi8eDECAwOxd+9e8bF7pGUyaNAgfPLJJz8cxI0NICLqHbQPWrz43IaGhk6PG41GGLuZ3PZq1NfXIygoyG5m9OjRePvtt3HnnXciMDAQmzZtQktLC8aOHSs+To/8lndzc0NERERP7JqIyKm0T6dy8bnR0dGdHl+6dCmWLVumpWhXKCkpwauvvmq3iwsANm3ahPvuuw/BwcFwc3ODt7c3tm7diqSkJPGxeuRuriNHjiAqKgoJCQl46KGHUFZW1mW2tbUVDQ0NnTYiot6uvLwc9fX11i0nJ6fLbHZ29hWXDy7fiouLOz2noqICGRkZ+NnPfoY5c+bYLcuSJUtQV1eHTz75BHv27MH8+fNx77334uDBg+LX4/CWSVpaGtatW4fk5GRUVVXh2WefxW233YZDhw7Bz+/Ku31yc3Px7LPPOroYREQ9wlHrmfj7+8Pf31/0nAULFiAzM9NuJiEhwfr/yspKjBs3DqNHj8Zf/vIXu88rLS3FypUrcejQIQwaNAgAMHToUPzzn//EqlWr8Nprr4nK6PDKZMqUKdb/p6amIi0tDbGxsdi0aRNmz559RT4nJwfz58+3ft3Q0HBF84+ISC8c1c2lRmhoKEJDZTfLV1RUYNy4cRg+fDjWrl0LFxf7x2tubgaAK3Kurq6wWOT3nvX4oMXAwED0798fJSUlNr9vNBqtNbSampqIyBkujTPRsvWUiooKjB07FjExMVi+fDlOnz6N6upqVFdXd8qkpKRg9+7dAICUlBQkJSXhsccew+7du1FaWoo//vGP2LFjB6ZPny4+do/fZnX+/HmUlpbi4Ycf7ulDERH9W9uxYwdKSkpQUlKCvn37dvqe8q9pXMxmM0wmk7VF4u7ujn/84x/Izs7G1KlTcf78eSQlJeGNN97AHXfcIT62wyuTp59+GlOnTkVsbCwqKyuxdOlSuLq64oEHHlC1n6YGT7iYhSO0u9F+SrbWdNKk47L9/UrW3GxMkrWymsNkf6n8dJDsYthoP9utwMttqhkhyg2OrRTlDpb27T4EIMK3UZQ7cU62xrqH8A89g6usye5eKbs988sq2Rr1N4ySvX9ee5tFuSDfhO5DACr7yUa2e5yQvd7DHbI7NP2GCNey75Ad17O6+19THS3XbviBRTHAomXQYg9OQZ+ZmdnttZW4uDhrxXJJv379sHnzZk3HdvgZOHnyJB544AGcPXsWoaGhuPXWW1FYWCju7yMi0jPta8D3zikRHV6ZvPXWW47eJRER6RyHphMRqaB9Cnq2TIiI/u11wIAODeNMtDxXz3pnFUlERNcUWyZERCqwm8s2ViZERCp0QFtXVYfjiqIrvbOKJCKia4otEyIiFdjNZZt+KxMDul173N0gazB6VctOXuCIC6LcaVdZE7cxxlWU86iXrQld0igb+Pl9vWyk8rF9N4hyd43bLcod7JBN0Fl6RraWeFuJbAYByzTZmvceZtn5MMfJzofnd7KZFcwdsuN6mWVrotclyvYXFX5alKtskH2uAoPPi3ItvvYXYrrk6zOyz0tLuM7WgHfCRI/XA/1WJkREOqRonIJe4a3BREREtrFlQkSkAru5bGNlQkSkgp5nDXam3llFEhHRNcWWCRGRClpXS+zJlRadiZUJEZEK7OayrXdWkUREdE2xZUJEpIIFLppWS+RKi9dYREg93Hxa7GZ8XFpF++qXUSrKFRzsJ8rdEC5rpjb0k43KDSiWnYbDleGiXFRInSgXdFD4Om6TjfR2aZKNzL7gIVv72z2uSXbc/EBRzpIm25+l0V2US844Iso1mWWvF1Gy8+tbIVvL/vQe2f4G33ZMlDtWKxvZLpyYAu6usqB3mWAN+NZr96usQzGgQ0NXlZbn6lnvrCKJiOia0m3LhIhIj3gB3jZWJkREKigaZw1WOAKeiIi4BrxtvbOKJCKia4otEyIiFSyKtuseFtlyOdcdViZERCpwpUXbeuerIiKia4otEyIiFSwaV1rU8lw9021lUl0SAhcvT7uZyr59RPuqPC9bS9x4SjaC26+kTpQLDJeVz71Z1ona0Sor389jikS5FfHTRblP9g0S5SKSZWuO1533FuWSw06Jct+F+4hyoX0aRTlLoGyt82/K+opy3j6ymRqia6pFuZagEFHOTTbgH4drZGvAT4w/LMp9/daNotyQ6ZWi3Af9u3+9lguy99gROALeNnZzERGRZrptmRAR6REvwNvWO18VEVEPscBgnVLlqrYevmYybdo0xMTEwNPTE5GRkXj44YdRWWm/S7GlpQVz585FcHAwfH19MWPGDNTU1Kg6LisTIqJeZNy4cdi0aRNMJhM2b96M0tJS3HPPPXafk5WVhQ8++ADvvPMO8vPzUVlZibvvvlvVcdnNRUSkgqLxbi6lh1smWVlZ1v/HxsYiOzsb06dPh9lshrv7lcsr1NfXY82aNdi4cSPGjx8PAFi7di0GDBiAwsJCjBo1SnRctkyIiFTQ1MX1oxmHGxoaOm2trY6/I622thYbNmzA6NGjbVYkALB3716YzWZMnDjR+lhKSgpiYmJQUFAgPhYrEyIiFS5dgNeyAUB0dDQCAgKsW25ursPKuGjRIvj4+CA4OBhlZWV47733usxWV1fDw8MDgYGBnR4PDw9HdbXsdnWAlQkRkVOUl5ejvr7euuXk5HSZzc7OhsFgsLsVFxdb8wsXLsS+ffuwfft2uLq6YubMmVCUnp0UjNdMiIhUcNTiWP7+/vD3lw2oXrBgATIzM+1mEhISrP8PCQlBSEgI+vfvjwEDBiA6OhqFhYVIT0+/4nkRERFoa2tDXV1dp9ZJTU0NIiIiROUDdFyZKEYLFKP9ta7D3etF+2oxy15m3K1lopyyNVB2XNnAYijnZB/MQQkVolxVW6Ao1+4l+0slLlF2i+Dxo2GinKtvuyh34FCcKOcu2x2CvZpFueIv4kU5pa+sj7u5SbgGfJ8AUcxNOGNCm7/sc+Xv0yLKfVQ8UJSzjJet7R7sLhuiH77Tdl//j3W0deCkaG/aOWM6ldDQUISGCn+hXH48y8Xfo11dkxk+fDjc3d2xc+dOzJgxAwBgMplQVlZms/Lpim4rEyIiUqeoqAhfffUVbr31VvTp0welpaVYsmQJEhMTrRVDRUUFJkyYgPXr12PkyJEICAjA7NmzMX/+fAQFBcHf3x9PPvkk0tPTxXdyAVdxzeSzzz7D1KlTERUVBYPBgHfffbfT9xVFwW9+8xtERkbCy8sLEydOxJEjR9QehohIlxx1N1dP8Pb2xpYtWzBhwgQkJydj9uzZSE1NRX5+PozGiy1ks9kMk8mE5uYfWuorVqzAT3/6U8yYMQNjxoxBREQEtmzZourYqlsmTU1NGDp0KH7xi1/YHNTy4osv4pVXXsEbb7yB+Ph4LFmyBJMnT8Z3330HT0/7EzcSEemdo66Z9IQhQ4YgLy/PbiYuLu6Ki/Genp5YtWoVVq1addXHVl2ZTJkyBVOmTLH5PUVR8PLLL2Px4sW46667AADr169HeHg43n33Xdx///1XXVAiItIvh94afOzYMVRXV3ca/BIQEIC0tLQuB7+0trZeMXiHiEiv9NzN5UwOrUwuDXAJDw/v9Li9wS+5ubmdBu5ER0c7skhERA7FysQ2pw9azMnJ6TRwp7y83NlFIiIilRx6a/ClAS41NTWIjIy0Pl5TU4Nhw4bZfI7RaLTeZUBEpHcKtC2927Pj0J3HoS2T+Ph4REREYOfOndbHGhoaUFRUpGrwCxGRXrGbyzbVLZPz58+jpKTE+vWxY8ewf/9+BAUFISYmBk899RR+97vfoV+/ftZbg6OiojB9+nR1B1IMFzcHCPSSjfCN9a0V5U64ytZ2Dyi1P4L/Eu9TsiHcxV/FiXInkmTl8y2Xvb8no2X7c/Uzi3JJEbK14it9ZFNNXOgja9kWV8lG6FuMjv3b0cu7TRY8I/v8tQZGdh8CcCFBdtxwD1nuztQiUe7d18eKcjU3yc5v7eDuP6eWlmv3C1rPtwY7k+rKZM+ePRg3bpz16/nz5wMAZs2ahXXr1uGZZ55BU1MTHn30UdTV1eHWW2/Ftm3bOMaEiKgXU12ZjB071u7skwaDAb/97W/x29/+VlPBiIj0iC0T2zg3FxGRCqxMbHP6rcFERHT9Y8uEiEgFRTFA0dC60PJcPWNlQkSkgjPWM7kesJuLiIg0Y8uEiEgFXoC3jZUJEZEKvGZim34rEw/Lxc2O27xOiHZ1MuqQKPfa7ttFufhAx46QrhnuIcq5RJ8X5c7XeYlyvt6iGNqbhR8TYadp7QXZgc+fkK2J7nNSduCwybJVwo+ekw2wdXOTzXDQctRPlDP4+IhyrUGyz5+hUXbeRobIfo5q2mQj1j3rZO9LoFtz9yEAxtruf/l2tPbOX9DXE/1WJkREOsRuLttYmRARqcBuLttYmRARqaBobJn01sqEtwYTEZFmbJkQEamgALAz163o+b0RKxMiIhUsMMDAEfBXYDcXERFpxpYJEZEKvJvLNlYmREQqWBQDDBxncgXdViaREefg5mN/be/j7b6ifb3+6XhRLij+nCjnUS9bc/z4XbK3N2X1GVGuY6JsxHBZrWzN9nZv2eswVshG6Lf3k5XvXL1spLdPuawX9nyybO3582WyNeBhlI3gtlhkvxT8+9WJcqd/EivKmYM6RLmEpGpR7p0v00S5ebfvEOW2TZKdj7fzR4tyiOr+fFhaZOeMeo5uKxMiIj1SFI13c/XS27lYmRARqcBrJrbxbi4iItKMLRMiIhXYMrGNlQkRkQq8m8s2dnMREalw6QK8lq0nTZs2DTExMfD09ERkZCQefvhhVFZWdpmvra3Fk08+ieTkZHh5eSEmJga//OUvUV9fr+q4rEyIiHqRcePGYdOmTTCZTNi8eTNKS0txzz33dJmvrKxEZWUlli9fjkOHDmHdunXYtm0bZs+ereq47OYiIlLhYutCyzUTBxbGhqysLOv/Y2NjkZ2djenTp8NsNsPd3f2K/ODBg7F582br14mJiXj++efx85//HO3t7XBzk1UTrEyIiFRw1AX4hoaGTo8bjUYYjbKBxFK1tbXYsGEDRo8ebbMi6Up9fT38/f3FFQmg48qkuiQELl721+L+fwFjRPvqN6hClDt8OEqUq/2FKAa3gFZRztB0QZRreVlWvv964WNRzn1Quyj3+/w7RTnvg7K13cPGy85HwNQqUa7m9XhR7uxU2ft8R/9vRbmSxlBRzrQ7TpSLPCcb2Q7h2vPlX90gyoV9K/tT+VXDRFGu3//KPvdncs6LcsE+3c+s0N7UijLR3vQjOjq609dLly7FsmXLHLLvRYsWYeXKlWhubsaoUaPw4Ycfip975swZPPfcc3j00UdVHZPXTIiIVFAcsAFAeXk56uvrrVtOTk6Xx8zOzobBYLC7FRcXW/MLFy7Evn37sH37dri6umLmzJlQBP1rDQ0NuPPOOzFw4EDVFZtuWyZERHrkqG4uf39/+Pv7i56zYMECZGZm2s0kJCRY/x8SEoKQkBD0798fAwYMQHR0NAoLC5Gent7l8xsbG5GRkQE/Pz9s3bpVVbcYwMqEiEj3QkNDERoq61a9nMVysVu0tbXr7seGhgZMnjwZRqMR77//Pjw97V9isIXdXEREajiqn6sHFBUVYeXKldi/fz9OnDiBvLw8PPDAA0hMTLS2SioqKpCSkoLdu3cDuFiRTJo0CU1NTVizZg0aGhpQXV2N6upqdHQIr+OBLRMiInU0dnOhB0fAe3t7Y8uWLVi6dCmampoQGRmJjIwMLF682HqnmNlshslkQnPzxRsbvv76axQVFQEAkpKSOu3v2LFjiIuLEx2blQkRkQp6noJ+yJAhyMvLs5uJi4vrdDF+7Nixoovz3WE3FxERacaWCRGRCpw12DZWJkREaigGbdc9WJlcWx4RzXD1tj/St3q+bORzyf1eolzwQdlJ3vKbP4hyD2YtEOVOje8ryrWEyMq35nXZiPUnn9giyhmDZSPH416oE+WG3ntClPv7ultFuT51sjXHw/4mu90xZKlsZPb734wQ5ZTQNlHu5AxZv/WiEbIZDr5rls2YcGRDoih3+4Li7kMAvh8UIcqFLpTd6jrxr3u6zbScb8dnor1RT9FtZUJEpEd6vgDvTKovwH/22WeYOnUqoqKiYDAY8O6773b6fmZm5hXD/DMyMhxVXiIi59LxOBNnUl2ZNDU1YejQoVi1alWXmYyMDFRVVVm3N998U1MhiYhI31R3c02ZMgVTpkyxmzEajYiIkPWbEhFdT3g3l209Ms5k165dCAsLQ3JyMp544gmcPXu2y2xraysaGho6bUREusYuris4vDLJyMjA+vXrsXPnTvz+979Hfn4+pkyZ0uUcL7m5uQgICLBul8/xT0RE+ufwu7nuv/9+6/+HDBmC1NRUJCYmYteuXZgwYcIV+ZycHMyfP9/6dUNDAysUItItdnPZ1uPTqSQkJCAkJAQlJSU2v280Gq3z+quZ35+IyCl4N5dNPT7O5OTJkzh79iwiIyN7+lBERNeA4V+bluf3Pqork/Pnz3dqZRw7dgz79+9HUFAQgoKC8Oyzz2LGjBmIiIhAaWkpnnnmGSQlJWHy5MmqjhP2f55wc7c/Yrn5BlnDyv287OQ1TZaNfK7tkK1AVj1adlyPWlkuekejKHd4tmykd7PFKMo9P+w9Ue5/KlNEuS1Hhopy7dGytc6DTKIYLgTLPi8hbrL32SVEttZ55pACUe6Nf4wT5Q40ybqB/7npJlEuLFz2Oj7PHSXKWR45LcrV/NxblFvg2f3q7k1m+bob1DNUVyZ79uzBuHE/fOgvXe+YNWsWVq9ejQMHDuCNN95AXV0doqKiMGnSJDz33HPWufSJiK5rWruq2M11UXdz33/8sWzeICKi6xIrE5u4ngkREWnGiR6JiNTgFPQ2sTIhIlKBswbbxm4uIiLSjC0TIiI1eAHeJlYmRERq8JqJTezmIiIizXTbMmkOc4Orh/3itQTLavjw3e2iXEWs7O040HqDKNcRKDtuhHBoTmO8jyhnaJW1oz8921+Uq2qSzZcW6F4lyrWXy15Hh7dsBPzZgbIZCSK/lM1wIBW52UOUMw6VrVG/ZPo7otxfjo8R5ZqHXhDlWk7IBhQHzz0uys2K/FKU+/3bD4ly34yP6TbT0toO4LBof1oZlIubluf3RrqtTIiIdInXTGxiZUJEpAavmdjEayZERKQZWyZERGqwm8smViZERGqwMrGJ3VxERKQZWyZERGqwZWITKxMiIjV4N5dN7OYiIupFpk2bhpiYGHh6eiIyMhIPP/wwKisrRc9VFAVTpkyBwWDAu+++q+q4um2ZtIQY4Gq0X4ObZQOpUZcke5nJN5wU5TZV3yzKzRwhW/v7q5cGi3JuTV6inLFWtrZ2+dokUW7N0hWi3MJm4Rrhwk9daJGrKHchVLY/lxbZjATSNdZPD5P9Lfb3yiGiXJBnkyh3X/ReUa4qPECUK1or+zxX/zVelAtduk2Ua4iX/YWe4NH9mvLN7tduDXi9j4AfN24cfvWrXyEyMhIVFRV4+umncc899+DLL7ufmeDll1+GwXB1LSfdViZERLrkoGsmDQ0NnR42Go0wGmVT29iTlZVl/X9sbCyys7Mxffp0mM1muLt3PfXQ/v378cc//hF79uxBZGSk6uOym4uIyAmio6MREBBg3XJzcx1+jNraWmzYsAGjR4+2W5E0NzfjwQcfxKpVqxAREXFVx2LLhIjICcrLy+Hv/8Mkqo5olVyyaNEirFy5Es3NzRg1ahQ+/PBDu/msrCyMHj0ad91111Ufky0TIiIVDPjhuslVbf/aj7+/f6fNXmWSnZ0Ng8FgdysuLrbmFy5ciH379mH79u1wdXXFzJkzoXSxXvD777+PvLw8vPzyy5reF7ZMiIjUcMKtwQsWLEBmZqbdTEJCgvX/ISEhCAkJQf/+/TFgwABER0ejsLAQ6enpVzwvLy8PpaWlCAwM7PT4jBkzcNttt2HXrl2iMrIyISLSudDQUISGCm9bvIzFcnFdoNbWVpvfz87Oxn/+5392emzIkCFYsWIFpk6dKj4OKxMiIjV0PAK+qKgIX331FW699Vb06dMHpaWlWLJkCRITE62tkoqKCkyYMAHr16/HyJEjERERYfOie0xMDOLjZbeDA7xmQkSkjuKArYd4e3tjy5YtmDBhApKTkzF79mykpqYiPz/fek3GbDbDZDKhubnZocdmy4SIqJcYMmQI8vLy7Gbi4uK6vBh/SXfft0W3lYlLWh1cvO3fKtda6SfaV+ARWQOs+KBs5POIm0pEuTl9ikS5f6TJ1vR2bZOd4JaYNlEu9sMWUW7WN5miXIRfhSgXnFgryrkVBIlyLu2yC5qGqjOiXEFlnCgn5W+Uvc+H/9FPlLvpwXJR7gbjOVHu2LSuxx/8mG+Z7H0e4ymKwaOh+wwAbD49vNuMuakNwDeyHWqk9xHwzqLbyoSISJd0fM3EmXjNhIiINGPLhIhIDbZMbGJlQkSkAq+Z2MZuLiIi0owtEyIiNbjSok2sTIiI1OA1E5tYmRARqcBrJrbxmgkREWmm25ZJwHpfuLnbH0p706+/F+3r5Juytc4bY2RrrFuEfZ593XxFubPDLaJc4luyke21XrL9KW6yvyUGhNSIcucS+opygGy97gshsvI1Jsn2p4TKRtRPiflOlNvx7i2inCk5TJSLLpSNlL91zmFR7rljPxXl3M/LPs/+J2Tv85p62Up9iqsohvvDup9JormxA1tku9OO3Vw26bYyISLSJY3dXL21MlHVzZWbm4ubb74Zfn5+CAsLw/Tp02EymTplWlpaMHfuXAQHB8PX1xczZsxATY3sL1siIro+qapM8vPzMXfuXBQWFmLHjh0wm82YNGkSmpqarJmsrCx88MEHeOedd5Cfn4/KykrcfffdDi84EZFT6HgKemdS1c21bdu2Tl+vW7cOYWFh2Lt3L8aMGYP6+nqsWbMGGzduxPjx4wEAa9euxYABA1BYWIhRo0Zdsc/W1tZOK4A1NAinEiUicgZeM7FJ091c9fX1AICgoIsXNvfu3Quz2YyJEydaMykpKYiJiUFBQYHNfeTm5iIgIMC6RUfLpoEnIiL9uOrKxGKx4KmnnsItt9yCwYMHAwCqq6vh4eFxxcL04eHhqK6utrmfnJwc1NfXW7fyctlaDUREznBpnImWrTe66ru55s6di0OHDuHzzz/XVACj0WhdTpKIiK5PV9UymTdvHj788EN8+umn6Nv3h7EFERERaGtrQ11dXad8TU2NzQXriYiod1BVmSiKgnnz5mHr1q3Iy8tDfHx8p+8PHz4c7u7u2Llzp/Uxk8mEsrIypKenO6bERETOxLu5bFLVzTV37lxs3LgR7733Hvz8/KzXQQICAuDl5YWAgADMnj0b8+fPR1BQEPz9/fHkk08iPT3d5p1c9lwIdoWrh/0hspVNAaJ9nesvW5S63Ut2lmO9ZWuYn7fIRjSH7BaO9I6VdQeaz8lGwLf7yEY0D/arFOU+r5atJd78hWxGgvYI2flwD70gyrmcka2JXnAmvvsQgNY+spHjbQ2y81b6c+Hnz012x+PRI7LegMAq2euoHSAbsn64RXbcpmjZ58/D0H2uXZBxFM7NZZuqymT16tUAgLFjx3Z6fO3atcjMzAQArFixAi4uLpgxYwZaW1sxefJk/PnPf3ZIYYmIdKGXVghaqKpMFKX7d9DT0xOrVq3CqlWrrrpQRER0feHcXEREanDQok2sTIiIVOA1E9u4ngkREWnGlgkRkRrs5rKJlQkRkQrs5rKN3VxERKQZWyZERGqwm8sm3VYmrm0KXLt514+Uh4v2FdIuO6ZLynlR7ouaBFFuqeywuBAqG4EceFQ2sj3wBtkI6crbZGuih7g3inJSoQfMotzP/rCt+xCA//fnqaJc002ykegR3qWi3Olb60W5iTccF+Wa2j1EuUdMPxflYv4uiqE2RZbrGCz7+Sg6HSfK+R2Vjag/0tr9iPqWtnYAxaL9acbKxCZ2cxER9SLTpk1DTEwMPD09ERkZiYcffhiVld1PiVRQUIDx48fDx8cH/v7+GDNmDC5ckE1VBLAyISJSRe/rmYwbNw6bNm2CyWTC5s2bUVpainvuucfucwoKCpCRkYFJkyZh9+7d+OqrrzBv3jy4uMirCN12cxER6ZLOu7mysrKs/4+NjUV2djamT58Os9kMd3fbk7FmZWXhl7/8JbKzs62PJScnqzouWyZERGo4aAr6hoaGTltra6vDi1pbW4sNGzZg9OjRXVYkp06dQlFREcLCwjB69GiEh4fj9ttvV73wISsTIiIniI6ORkBAgHXLzc112L4XLVoEHx8fBAcHo6ysDO+9916X2aNHjwIAli1bhjlz5mDbtm246aabMGHCBBw5ckR8TFYmREQqOOqaSXl5Oerr661bTk5Ol8fMzs6GwWCwuxUX/3A328KFC7Fv3z5s374drq6umDlzZpezvlssF+8Sfeyxx/DII4/gxhtvxIoVK5CcnIy//vWv4veF10yIiNRw0DUTf39/+Pv7i56yYMEC65pRXUlI+GHIQkhICEJCQtC/f38MGDAA0dHRKCwstLnibWRkJABg4MCBnR4fMGAAysrKROUDWJkQEeleaGgoQkNDr+q5l1oeXV2TiYuLQ1RUFEwmU6fHDx8+jClTpoiPw24uIiIV9HxrcFFREVauXIn9+/fjxIkTyMvLwwMPPIDExERrq6SiogIpKSnYvXv3xddjMGDhwoV45ZVX8Le//Q0lJSVYsmQJiouLMXv2bPGxddsy8Wi0wM3d/ojvxOhTon21nY0U5cJCz4hybgbZSHQvV9lIb49G2afLf69sLXbfwz6i3HH7t57/cFwX2cClIwsSRbmYbW2i3CubfyrKeQo/xRZ32UwDU0O+EeUO1cg+Vw+FFIhyL52cJMo1bpYdt3WQ7PWGCGckOGX0FeVabmkW5Ybee0iUG+/T/cj28xbZz6RD6PjWYG9vb2zZsgVLly5FU1MTIiMjkZGRgcWLF8NovDgDhNlshslkQnPzD+fpqaeeQktLC7KyslBbW4uhQ4dix44dSEyU/UwDOq5MiIhInSFDhiAvL89uJi4uzubF+Ozs7E7jTNRiZUJEpIaOWybOxMqEiEgFw782Lc/vjXgBnoiINGPLhIhIDXZz2cTKhIhIBS7baxsrEyIiNdgysYnXTIiISDO2TIiI1OqlrQstdFuZ1CW6wdVov3iNx2VrwLv/vEWUKz8QI8oZLLKb+waPlY1YD991WpQ7P0Q28vnsL5pEubYTslHDfzo6XpTzPCN7X6Qj0dMmfivKVS+IF+VOD5PNDFDX4S3KBfnIRnq/eTZNlGvrkK2J7jL1rGx/h4JFufN9Zb8GwvfKRsofTwoQ5Zb0/1CU+5+zt3WbaTtvBrBZtD+teM3ENnZzERGRZrptmRAR6RIvwNvEyoSISAV2c9nGbi4iItKMLRMiIjXYzWUTKxMiIhXYzWUbu7mIiEgztkyIiNRgN5dNrEyIiNRgZWKTbiuTqM/q4eZqf+T68XTZiOGAd2UjnxtjZb1+F1JkI+p3VvUX5c5mhopyEYUdolxkQIMoN+C2w6LcwXNRolytn+ynRNpnPMi3SpT7buAgUa4xUTbi/6NTg0W5U/WyNdFvDmkV5Q5/31eU6z/gpChX5yIbAe9+XnZCqke5i3I+JlEMXwyT/XzEGGu7zbSY22UHdQBeM7GN10yIiEgzVZVJbm4ubr75Zvj5+SEsLAzTp0+HydT5z5CxY8fCYDB02h5//HGHFpqIyGkUB2y9kKrKJD8/H3PnzkVhYSF27NgBs9mMSZMmoamp88SCc+bMQVVVlXV78cUXHVpoIiJnMSiK5q03UnXNZNu2bZ2+XrduHcLCwrB3716MGTPG+ri3tzciIiJE+2xtbUVr6w99yg0Nsv5+IiLSD03XTOrr6wEAQUFBnR7fsGEDQkJCMHjwYOTk5KC5ueupunNzcxEQEGDdoqOjtRSJiKhnsZvLpqu+m8tiseCpp57CLbfcgsGDf7j75cEHH0RsbCyioqJw4MABLFq0CCaTCVu2bLG5n5ycHMyfP9/6dUNDAysUItIt3s1l21VXJnPnzsWhQ4fw+eefd3r80Ucftf5/yJAhiIyMxIQJE1BaWorExMQr9mM0GmE0Gq+2GEREpANX1c01b948fPjhh/j000/Rt6/9e+PT0i6uMldSUnI1hyIi0hd2c9mkqmWiKAqefPJJbN26Fbt27UJ8fPfLpe7fvx8AEBkpW3KWiEjP2M1lm6rKZO7cudi4cSPee+89+Pn5obq6GgAQEBAALy8vlJaWYuPGjbjjjjsQHByMAwcOICsrC2PGjEFqaqqqgjUm+MLN3dNuxtX1vGhfrrKlq9EaLBsh3b9vjShX2eAvynmelq2Jfq6f7HS1FcpGUt98xwlRrrZJtiZ6h/3TZeXaLButnH+mnyh3IUz2/hlkEwhgStghUW754QxRrqZV9jkI6Fsvykk/VxZ32W8tz3PCN0aRdWSYfWXHPdocIsoNCqnoNnPB/dqNgCfbVFUmq1evBnBxYOKPrV27FpmZmfDw8MAnn3yCl19+GU1NTYiOjsaMGTOwePFihxWYiMipODeXTaq7ueyJjo5Gfn6+pgIREekZu7ls0+1Ej0REusSWiU2c6JGIqBeZNm0aYmJi4OnpicjISDz88MOorKy0+5zq6mo8/PDDiIiIgI+PD2666SZs3rxZ1XFZmRARqXSpq+tqtp42btw4bNq0CSaTCZs3b0ZpaSnuueceu8+ZOXMmTCYT3n//fRw8eBB333037r33Xuzbt098XFYmRERqKIr2rQdlZWVh1KhRiI2NxejRo5GdnY3CwkKYzV3f1vrll1/iySefxMiRI5GQkIDFixcjMDAQe/fuFR+XlQkRkRM0NDR02n484a2j1NbWYsOGDRg9ejTc3bte3Gz06NF4++23UVtbC4vFgrfeegstLS1X3LlrDysTIiIVtHRx/birKzo6utMkt7m5uQ4r46JFi+Dj44Pg4GCUlZXhvffes5vftGkTzGYzgoODYTQa8dhjj2Hr1q1ISkoSH5OVCRGRGg6aTqW8vBz19fXWLScnp8tDZmdnX7Ho4OVbcXGxNb9w4ULs27cP27dvh6urK2bOnGl3aMeSJUtQV1eHTz75BHv27MH8+fNx77334uDBg+K3Rbe3BisuBigu9kc2NzfKJog0CNd2t7jJRsDXtXiJcs3NsvL1NcmG6J9Ola3B3RYh3F+bnyg3IFQ24n93hWxktusFWfmifc6JchVNcaJcax9RDEcvhIpyN6YcF+VcDLLPVWOTbAoBo1H2/nmekn3uL8iWikfkF7JumOo02ec+1a/7ke0AUNfR/QwMFzquvxHw/v7+8PeX/cwsWLAAmZmZdjMJCQnW/4eEhCAkJAT9+/fHgAEDEB0djcLCQqSnp1/xvNLSUqxcuRKHDh3CoEGDAABDhw7FP//5T6xatQqvvfaaqIy6rUyIiPTIYLm4aXm+WqGhoQgNlf2RczmL5eIBu7omc2m9KReXzn98uLq6Wp8rwW4uIiI1dDxrcFFREVauXIn9+/fjxIkTyMvLwwMPPIDExERrq6SiogIpKSnYvXs3ACAlJQVJSUl47LHHsHv3bpSWluKPf/wjduzYgenTp4uPzcqEiKiX8Pb2xpYtWzBhwgQkJydj9uzZSE1NRX5+vnXdKLPZDJPJZG2RuLu74x//+AdCQ0MxdepUpKamYv369XjjjTdwxx13iI/Nbi4iIhX0PDfXkCFDkJeXZzcTFxd3xcX4fv36qR7xfjlWJkREamgdeNjDgxadhZUJEZEKem6ZOBOvmRARkWZsmRARqcEp6G1iZUJEpAK7uWzTbWXSYTQAHvZHwIeHydbMRoWHKNY0SDay+HyLbIRvR4vs7e0wynobW0JlA4gM7rJclGedKPdpdX9RTnGV/ZTU95eNvDe6yEY1twWKYnARLnVuVlxFueN1QaJclH+DKNfHv1mUa2uXlQ8XZLGWYNnnL/Bwmyhn8ZD9fDRbZD+Xn1V3Pz9Ue1MrgH+K9kc9Q7eVCRGRLvFuLptYmRARqcBuLtt4NxcREWnGlgkRkRq8m8smViZERCqwm8s2dnMREZFmbJkQEalhUS5uWp7fC7EyISJSg9dMbGJlQkSkggEar5k4rCT6ot/KRFD7e7rJRkhfEJ49g3AN+Kaz3a9JDQCB38jWbHdvkK2t7dYkGzFsDhHFUNkSKMqdqveV7VD4A9YcIbtUF+bRKMq1xsvePy+TbGR2ndlLlGu3yF7H+TbZcYO9m0S5ZrPscyCcHwIXwmQnrmKsbOYC/6Oy/Z1uk32ubg0p7TbT4mnGp6K9UU/Rb2VCRKRHHAFvEysTIiIVeGuwbbw1mIiINGPLhIhIDd7NZRMrEyIiFQyKAoOG6x5anqtn7OYiIiLN2DIhIlLD8q9Ny/N7IVYmREQqsJvLNnZzERGRZrptmQSUNsHNzf6i3cHesrW1j1kiRbmEyDOiXG2zbIS0R55sjfAOT9ma3m2hskXMPUs8RTn/QbJFwlOjKkW5/ZYbRDnvatkMAn+vGCTKuZfLRoRL7+8/b5aNWPf2MIty06IOiHKFdfGi3PEzss9V329aRLmam2WfF48G2RvYGiSbciLJ+5QoV3Su+/fF3CRbn94heDeXTbqtTIiIdIkj4G1S1c21evVqpKamwt/fH/7+/khPT8dHH31k/X5LSwvmzp2L4OBg+Pr6YsaMGaipqXF4oYmInOXSCHgtW2+kqjLp27cvXnjhBezduxd79uzB+PHjcdddd+Hbb78FAGRlZeGDDz7AO++8g/z8fFRWVuLuu+/ukYITEZF+qOrmmjp1aqevn3/+eaxevRqFhYXo27cv1qxZg40bN2L8+PEAgLVr12LAgAEoLCzEqFGjbO6ztbUVra0/zPra0CC7DkJE5BTs5rLpqu/m6ujowFtvvYWmpiakp6dj7969MJvNmDhxojWTkpKCmJgYFBQUdLmf3NxcBAQEWLfo6OirLRIRUY8zWLRvvZHqyuTgwYPw9fWF0WjE448/jq1bt2LgwIGorq6Gh4cHAgMDO+XDw8NRXV3d5f5ycnJQX19v3crLy1W/CCIici7VlUlycjL279+PoqIiPPHEE5g1axa+++67qy6A0Wi0XtC/tBER6dalbi4t2zXQ2tqKYcOGwWAwYP/+/Xazjrh5SnVl4uHhgaSkJAwfPhy5ubkYOnQo/vSnPyEiIgJtbW2oq6vrlK+pqUFERITawxAR6ZPigO0aeOaZZxAVFSXKOuLmKc0j4C0WC1pbWzF8+HC4u7tj586d1u+ZTCaUlZUhPT1d62GIiEjoo48+wvbt27F8+fJus/X19VizZg1eeukljB8/HsOHD8fatWvx5ZdforCwUHxMVXdz5eTkYMqUKYiJiUFjYyM2btyIXbt24eOPP0ZAQABmz56N+fPnIygoCP7+/njyySeRnp7e5Z1c9jTGe8PV3f7I3ABFVhd2GGUjcqvqZV1szSdla1f7h8jKF1TU9TWlH/NIl43kbxWOlJeusb6laIQo5xEsG3Hd7ik7H8OCZO9LvluYKCcV5SW7o9B0Wnbckguy3MTg70W5/SdlMw1UpQtHtgsXi2+OlJ03z9Oy/Z0z+4hybZbuf02ZLdfuqraj5ua6/M5Vo9EIo1E2+4I9NTU1mDNnDt599114e3c/20R3N09Jf3+rqkxOnTqFmTNnoqqqCgEBAUhNTcXHH3+Mn/zkJwCAFStWwMXFBTNmzEBraysmT56MP//5z2oOQUSkbw66NfjyO1eXLl2KZcuWaSgYoCgKMjMz8fjjj2PEiBE4fvx4t8+52punLqeqMlmzZo3d73t6emLVqlVYtWqVmt0SEf3bKS8v73TDkb1WSXZ2Nn7/+9/b3d/333+P7du3o7GxETk5OQ4rpxTn5iIiUkOBtjVJ/tWoUXP36oIFC5CZmWk3k5CQgLy8PBQUFFxRMY0YMQIPPfQQ3njjjSue9+Obp37cOlF78xQrEyIiFZyxnkloaChCQ0O7zb3yyiv43e9+Z/26srISkydPxttvv420tDSbz/nxzVMzZswAcHU3T7EyISJSQ4HGayYOK8kVYmJiOn3t63vxZqHExET07dsXAFBRUYEJEyZg/fr1GDlypMNunmJlQkT0b8RsNsNkMqG5udn6mCNunmJlQkSkxnU00WNcXByUy45n6zFH3DzFyoSISA0LANmQm66f3wtxDXgiItJMty0Tt2YL3NztV+EHKmXzzkScahflao/6iXK33/qtKPft14NFOYu3bKRy7N+buw8BaOsjWxP9o2TZGuswyv6U6vu6uyhXNkl22M92pIpymdPyRLn/2X2bKDcxUHZ+Py1LEuUGeFeJclVtgaJckL/sc2BOl81IEPK87PN34VnZjAknj8hG/O+tjek+BMDHvbXbjGKQzfrgCM64m+t6oNvKhIhIl66jaybXEru5iIhIM7ZMiIjUYMvEJlYmRERqsDKxid1cRESkGVsmRERqcJyJTaxMiIhU4K3BtrEyISJSg9dMbOI1EyIi0ky3LZNTN7vCxdPVbmblTW+J9vXXG2Qjn+eEfCPKvbj6PlGu4RazKGew9BHlmsNlHbURGeWinJebrHzBX8pGtrcEyzqDLUbZX2Yu8bKR3ltXjBflcJvs9a4qGyfKNZ+SrWG+1l02jfeNYRWiXMs22Qjz9u6X/wYAnLhDdj7ifi07v75j7P/cXvL7OzeLcjO2/ne3GUuLbLS/Q1gUwKChdWHpnS0T3VYmRES6xG4um9jNRUREmrFlQkSkisaWSU8utehErEyIiNRgN5dN7OYiIiLN2DIhIlLDokBTVxXv5iIiIiiWi5uW5/dC7OYiIiLN2DIhIlKDF+Bt0m1l4lVlgKvR/ojvX359v2hfff8sG8FdufKEKBe+u0mU867xEuVqB4piMJ6T5aQj233dul9bGwBchMtrez4mW+s8sl32sTt1zk+UOzOqXZRDu2wGAVeDrBvC4C077kuD3hHl5i9/TJRrGCQ7IUH7ZR0PfR44KcqdHOwvyjU3yD5Xy6smi3JeNd2/jo7Wa9jJwmsmNum2MiEi0iW2TGziNRMiItKMLRMiIjUUaGyZOKwkusLKhIhIDXZz2cRuLiIi0owtEyIiNSwWaFrI3dI7By2yMiEiUoPdXDaxm4uIiDRjy4SISA22TGzSbWUSsW4/3AwedjPzfrlftK/Fg38hyt3sdUyUWz9aNnJX2u4LPCz7cFncZblvv44T5eKGVIpyDQmiGB6O/EaU++A/x4py5plGUc63VPYxjppSJsr19z8lyh05Gy3KvVY9VpTrM0O2Bvy50nBRzr1ZNuL/zBbZ64i8u1yUM/+PbPH5tOWyn7dvR0d0m3Fplo26d4jrZAR8a2sr0tLS8M0332Dfvn0YNmyYzVxtbS2WLl2K7du3o6ysDKGhoZg+fTqee+45BAQEiI/Hbi4iol7omWeeQVRUVLe5yspKVFZWYvny5Th06BDWrVuHbdu2Yfbs2aqOp6oyWb16NVJTU+Hv7w9/f3+kp6fjo48+sn5/7NixMBgMnbbHH39cVYGIiPRMUSyaNwBoaGjotLW2Oq519dFHH2H79u1Yvnx5t9nBgwdj8+bNmDp1KhITEzF+/Hg8//zz+OCDD9DeLpz3Diork759++KFF17A3r17sWfPHowfPx533XUXvv32W2tmzpw5qKqqsm4vvviimkMQEembolzsqrra7V/XTKKjoxEQEGDdcnNzHVK8mpoazJkzB//7v/8Lb29Zl+Pl6uvr4e/vDzc3+ZUQVddMpk6d2unr559/HqtXr0ZhYSEGDRoEAPD29kZERPd9nJe0trZ2qpEbGhrUFImI6NpSNF4z+VdlUl5eDn//H2ZiNhpl1wjt71pBZmYmHn/8cYwYMQLHjx9XvY8zZ87gueeew6OPPqrqeVd9zaSjowNvvfUWmpqakJ6ebn18w4YNCAkJweDBg5GTk4Pm5ma7+8nNze1UO0dHyy4GEhFdzy5dLri02atMsrOzr7iEcPlWXFyMV199FY2NjcjJybmqMjU0NODOO+/EwIEDsWzZMlXPVX0318GDB5Geno6Wlhb4+vpi69atGDjw4oIcDz74IGJjYxEVFYUDBw5g0aJFMJlM2LJlS5f7y8nJwfz58zu9GFYoRKRbFgsgXPPGpqtYtnfBggXIzMy0m0lISEBeXh4KCgquqJhGjBiBhx56CG+88UaXz29sbERGRgb8/PywdetWuLvL1oG6RHVlkpycjP3796O+vh5/+9vfMGvWLOTn52PgwIGdmkVDhgxBZGQkJkyYgNLSUiQmJtrcn9FodEjzjojomnBQN5caoaGhCA0N7Tb3yiuv4He/+53168rKSkyePBlvv/020tLSunxeQ0MDJk+eDKPRiPfffx+enp6qy6i6MvHw8EBSUhIAYPjw4fjqq6/wpz/9Ca+//voV2UuFLykp6bIyISIix4iJien0ta+vLwAgMTERffv2BQBUVFRgwoQJWL9+PUaOHImGhgZMmjQJzc3N+L//+z/r3WXAxUrM1dVVdGzNgxYtFkuXt7Tt378fABAZGan1MEREuqBYLFA0dHMpV9HN5Uhmsxkmk8l6Pfvrr79GUVERAFgbCpccO3YMcXFxov2qqkxycnIwZcoUxMTEoLGxERs3bsSuXbvw8ccfo7S0FBs3bsQdd9yB4OBgHDhwAFlZWRgzZgxSU1PVHAYAcPqBoXD1sN/U+tsZWZ9e3bA2Ue6FE1NEOY9GWTO1LUA2AjnkC9na6d8vkI189jsi+0si6ZbTolztUNntha98M06UC+rnJcq5CW/sM9bJzsfRPbJrccfjgkS58bccFOWmBu0T5fq5nxHlphctEOVO3dEiyrkflXVpVH4ie//ab5Wdj9p2H1GurbD789HRKnutDuGEbq6rFRcXB+Wy413+2NixY6/IXA1VlcmpU6cwc+ZMVFVVISAgAKmpqfj444/xk5/8BOXl5fjkk0/w8ssvo6mpCdHR0ZgxYwYWL16suZBERKRvqiqTNWvWdPm96Oho5Ofnay4QEZGuWRTAcH20TK4l3U70SESkS4oCTYtj9dLKhBM9EhGRZmyZEBGpoFgUKBq6uRxxsVuPWJkQEamhaFwD3sm3BvcUViZERCqwZWIbr5kQEZFmumuZXKq1O9q6H4TUdl42GNFyQTagqb1JtjiNpGwA0NEqG7TYbpEdV/o6Olplgxal71+HcElUi/0Jon/YX5vsfbEIx6F1yF6GeH9olgWl71+ze4cod95d1v1haZGVzyJ8HR3S90X4eba4yf7ybj1vFuUkAxIvZa7FX/3tSqumrqp2yF739cag6KzNdfLkSc4aTERXpby83DoHlaO1tLQgPj4e1dXVmvcVERGBY8eOXdWEinqlu8rEYrGgsrISfn5+MBgu/iV0aVr6yxeTud7wdegLX4e+aHkdiqKgsbERUVFRcHHpud77lpYWtLUJm8J2eHh49KqKBNBhN5eLi0uXf1lcWkTmesfXoS98Hfpyta8jICCgB0rTmaenZ6+rBByFF+CJiEgzViZERKTZdVGZGI1GLF269LpfkZGvQ1/4OvSlt7yOf1e6uwBPRETXn+uiZUJERPrGyoSIiDRjZUJERJqxMiEiIs1YmRARkWbXRWWyatUqxMXFwdPTE2lpadi9e7ezi6TKsmXLYDAYOm0pKSnOLla3PvvsM0ydOhVRUVEwGAx49913O31fURT85je/QWRkJLy8vDBx4kQcOXLEOYW1o7vXkZmZecX5ycjIcE5hu5Cbm4ubb74Zfn5+CAsLw/Tp02EymTplWlpaMHfuXAQHB8PX1xczZsxATU2Nk0psm+R1jB079orz8fjjjzupxCSl+8rk7bffxvz587F06VJ8/fXXGDp0KCZPnoxTp045u2iqDBo0CFVVVdbt888/d3aRutXU1IShQ4di1apVNr//4osv4pVXXsFrr72GoqIi+Pj4YPLkyWgRzmp7rXT3OgAgIyOj0/l58803r2EJu5efn4+5c+eisLAQO3bsgNlsxqRJk9DU1GTNZGVl4YMPPsA777yD/Px8VFZW4u6773Ziqa8keR0AMGfOnE7n48UXX3RSiUlM0bmRI0cqc+fOtX7d0dGhREVFKbm5uU4slTpLly5Vhg4d6uxiaAJA2bp1q/Vri8WiREREKH/4wx+sj9XV1SlGo1F58803nVBCmctfh6IoyqxZs5S77rrLKeW5WqdOnVIAKPn5+YqiXHzv3d3dlXfeecea+f777xUASkFBgbOK2a3LX4eiKMrtt9+u/Pd//7fzCkVXRdctk7a2NuzduxcTJ060Pubi4oKJEyeioKDAiSVT78iRI4iKikJCQgIeeughlJWVObtImhw7dgzV1dWdzk1AQADS0tKuu3MDALt27UJYWBiSk5PxxBNP4OzZs84ukl319fUAgKCgIADA3r17YTabO52PlJQUxMTE6Pp8XP46LtmwYQNCQkIwePBg5OTkoLlZuFgOOY3uZg3+sTNnzqCjowPh4eGdHg8PD0dxcbGTSqVeWloa1q1bh+TkZFRVVeHZZ5/FbbfdhkOHDsHPz8/Zxbsql9Z0sHVuHLHew7WUkZGBu+++G/Hx8SgtLcWvfvUrTJkyBQUFBXB1lS00di1ZLBY89dRTuOWWWzB48GAAF8+Hh4cHAgMDO2X1fD5svQ4AePDBBxEbG4uoqCgcOHAAixYtgslkwpYtW5xYWuqOriuT3mLKlCnW/6empiItLQ2xsbHYtGkTZs+e7cSSEQDcf//91v8PGTIEqampSExMxK5duzBhwgQnlsy2uXPn4tChQ9fFdTd7unodjz76qPX/Q4YMQWRkJCZMmIDS0lIkJiZe62KSkK67uUJCQuDq6nrFHSk1NTWIiIhwUqm0CwwMRP/+/VFSUuLsoly1S+9/bzs3AJCQkICQkBBdnp958+bhww8/xKefftpp3Z+IiAi0tbWhrq6uU16v56Or12FLWloaAOjyfNAPdF2ZeHh4YPjw4di5c6f1MYvFgp07dyI9Pd2JJdPm/PnzKC0tRWRkpLOLctXi4+MRERHR6dw0NDSgqKjouj43wMWlo8+ePaur86MoCubNm4etW7ciLy8P8fHxnb4/fPhwuLu7dzofJpMJZWVlujof3b0OW/bv3w8AujofZIOz7wDozltvvaUYjUZl3bp1ynfffac8+uijSmBgoFJdXe3sooktWLBA2bVrl3Ls2DHliy++UCZOnKiEhIQop06dcnbR7GpsbFT27dun7Nu3TwGgvPTSS8q+ffuUEydOKIqiKC+88IISGBiovPfee8qBAweUu+66S4mPj1cuXLjg5JJ3Zu91NDY2Kk8//bRSUFCgHDt2TPnkk0+Um266SenXr5/S0tLi7KJbPfHEE0pAQICya9cupaqqyro1NzdbM48//rgSExOj5OXlKXv27FHS09OV9PR0J5b6St29jpKSEuW3v/2tsmfPHuXYsWPKe++9pyQkJChjxoxxcsmpO7qvTBRFUV599VUlJiZG8fDwUEaOHKkUFhY6u0iq3HfffUpkZKTi4eGh3HDDDcp9992nlJSUOLtY3fr0008VAFdss2bNUhTl4u3BS5YsUcLDwxWj0ahMmDBBMZlMzi20DfZeR3NzszJp0iQlNDRUcXd3V2JjY5U5c+bo7o8VW+UHoKxdu9aauXDhgvJf//VfSp8+fRRvb2/lP/7jP5SqqirnFdqG7l5HWVmZMmbMGCUoKEgxGo1KUlKSsnDhQqW+vt65BaducT0TIiLSTNfXTIiI6PrAyoSIiDRjZUJERJqxMiEiIs1YmRARkWasTIiISDNWJkREpBkrEyIi0oyVCRERacbKhIiINGNlQkREmv1/2+YANc7T4zEAAAAASUVORK5CYII=",
            "text/plain": [
              "<Figure size 640x480 with 2 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "plt.imshow(out.cpu().detach().numpy()[0])\n",
        "plt.colorbar()"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 17,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "MucLudT3sWOq",
        "outputId": "7b42d4af-551c-4882-acfc-c8de509d4fa4"
      },
      "outputs": [
        {
          "data": {
            "text/plain": [
              "['blk',\n",
              " 'a',\n",
              " 'b',\n",
              " 'c',\n",
              " 'd',\n",
              " 'e',\n",
              " 'f',\n",
              " 'g',\n",
              " 'h',\n",
              " 'i',\n",
              " 'j',\n",
              " 'k',\n",
              " 'l',\n",
              " 'm',\n",
              " 'n',\n",
              " 'o',\n",
              " 'p',\n",
              " 'q',\n",
              " 'r',\n",
              " 's',\n",
              " 't',\n",
              " 'u',\n",
              " 'v',\n",
              " 'w',\n",
              " 'x',\n",
              " 'y',\n",
              " 'z']"
            ]
          },
          "execution_count": 17,
          "metadata": {},
          "output_type": "execute_result"
        }
      ],
      "source": [
        "# get char_list\n",
        "char_list = sorted(char_set, key = lambda x: char_set[x])\n",
        "char_list\n"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 18,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 532
        },
        "id": "C-TxZ0wqr4Xj",
        "outputId": "b49d7ec9-c3a8-47fc-8abc-0336ed0517a5"
      },
      "outputs": [
        {
          "data": {
            "image/png": "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",
            "text/plain": [
              "<Figure size 1200x600 with 1 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "# show relation between time frame and character\n",
        "plt.figure(figsize = (10,5), dpi = 120)\n",
        "plt.imshow(out.cpu().detach().numpy().T, aspect='auto', interpolation='nearest', origin='lower')\n",
        "\n",
        "ax = plt.gca()\n",
        "ax.set_yticks(range(0,27))\n",
        "ax.set_yticklabels(char_list)\n",
        "plt.show()"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "X92bzJsL37FS"
      },
      "source": [
        "### CTCLoss\n",
        "- 실제 출력(ground truth)과 모델이 예측한 출력 사이의 거리를 측정\n",
        "- CTC는 각 입력 타임스텝에서 가능한 모든 경로를 고려하며, 각 경로의 확률을 합산하여 최종 예측을 생성"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 19,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "IEKPplvgwgMB",
        "outputId": "bac67960-683f-4e39-9756-b2778f199cfd"
      },
      "outputs": [
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "Object `nn.CTCLoss #target_len (3) input_len =(37) target , input` not found.\n"
          ]
        }
      ],
      "source": [
        "??nn.CTCLoss #target_len (3) input_len =(37) target , input"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 20,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "XBeF550r37FS",
        "outputId": "a387af3a-59ea-40f2-9490-e570047d0f24"
      },
      "outputs": [
        {
          "data": {
            "text/plain": [
              "torch.Size([1, 3])"
            ]
          },
          "execution_count": 20,
          "metadata": {},
          "output_type": "execute_result"
        }
      ],
      "source": [
        "# check  \"set\" char_set and shape\n",
        "torch.tensor([[char_set['s'], char_set['e'], char_set['t']]]).shape"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 30,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 462,
          "referenced_widgets": [
            "6cc9804dc12d4484bdca50c848bb0975",
            "d5f21506afde4655a5e1dcf5300ba64b",
            "251c1b47a82142c98cd9af02b7e40c7d",
            "65f916204cbd406c8afe4aaba3724aa3",
            "6c0d13e5b51f45a5bfe791ee1f9b5255",
            "56e0ef57e4e5463e83e095b88ed934de",
            "2c1d42fde7e94d4ba039692d493fab94",
            "62d84b6e540a49909cc9d2f7c49134ec",
            "b6acf05eda5a4db791d5517cc2ac6275",
            "bf9679bb8bb948fe83dc36598e821c2e",
            "95bd8002491443989a727ec0c0c1d192"
          ]
        },
        "id": "MT1iBVoQswfF",
        "outputId": "8617713d-350f-4eeb-a2d0-7e3b8210758e"
      },
      "outputs": [
        {
          "data": {
            "application/vnd.jupyter.widget-view+json": {
              "model_id": "6cc9804dc12d4484bdca50c848bb0975",
              "version_major": 2,
              "version_minor": 0
            },
            "text/plain": [
              "  0%|          | 0/500 [00:00<?, ?it/s]"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        },
        {
          "data": {
            "image/png": "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",
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "# define training loop\n",
        "\n",
        "from tqdm.auto import tqdm\n",
        "\n",
        "# device check\n",
        "device = 'cuda' if torch.cuda.is_available() else 'cpu'\n",
        "\n",
        "model = RNNModel()\n",
        "model.to(device)  # 7.11 수정사항\n",
        "\n",
        "# epoch\n",
        "num_epoch = 500\n",
        "\n",
        "# CTCloss_fn , optimizer\n",
        "ctc_loss = nn.CTCLoss()\n",
        "optimizer = torch.optim.Adam(model.parameters(), lr = 0.001)\n",
        "\n",
        "# input_length\n",
        "input_lengths = torch.tensor(37)\n",
        "\n",
        "# target, target_length\n",
        "target =torch.tensor([[char_set['s'], char_set['e'], char_set['t']]], dtype=torch.int64)   # 7.11 수정사항\n",
        "target_lengths = torch.tensor([[3]])\n",
        "\n",
        "# batch data\n",
        "y, sr = torchaudio.load(\"set.wav\")\n",
        "batch = [[y, target]]\n",
        "\n",
        "# loss tracking\n",
        "losses = []\n",
        "\n",
        "#train loop\n",
        "pbar = tqdm(range(num_epoch))\n",
        "for e in pbar:\n",
        "  for sample in batch:\n",
        "    x, y = sample\n",
        "    x = x.to(device)\n",
        "    y = y.to(device)\n",
        "\n",
        "    pred = model(x)  # [1, 37, 27]\n",
        "\n",
        "    #loss\n",
        "    loss = ctc_loss(pred.squeeze(0), target, input_lengths, target_lengths)\n",
        "\n",
        "    #loss tracking\n",
        "    pbar.set_postfix({'loss': loss.item()})\n",
        "    losses.append(loss.item())\n",
        "\n",
        "    optimizer.zero_grad()\n",
        "    loss.backward()\n",
        "    optimizer.step()\n",
        "\n",
        "  plt.plot(losses)\n",
        "\n"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 31,
      "metadata": {
        "id": "0i01eD5nziG5"
      },
      "outputs": [],
      "source": [
        "# define plot_ctc\n",
        "def plot_ctc(out, epoch):\n",
        "  plt.figure(figsize=(8,4), dpi=100)\n",
        "  plt.imshow(out.cpu().detach().numpy().T, aspect='auto', interpolation='nearest', origin='lower')\n",
        "  plt.title(f\"epoch: {epoch}\")\n",
        "\n",
        "  ax = plt.gca()\n",
        "  ax.set_yticks(range(0,27))\n",
        "  ax.set_yticklabels(char_list)\n",
        "\n",
        "  plt.colorbar()\n",
        "  plt.show()\n"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 40,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 1000,
          "referenced_widgets": [
            "93800ea9f0fd4cab9d66c86283b8fc25",
            "b12f8859f071471dbe3d3afa6ed71e97",
            "0b4681c3f5524c51a697d464139a9352",
            "93bccad1dc0144898f605381d58de772",
            "157e794678b7463cba876e4254b1cebf",
            "0b694883359e42278de0f50dfec6b1bf",
            "435fdffa20c746d5966be14052520289",
            "097c6aff8bac4bf19e5a68276925c483",
            "e1d78feff92e459981df83fc75fb8b59",
            "3c2a7b51339747689b41edc229897f4f",
            "ecab949fde6a4b68a646cb1d1e259db1"
          ]
        },
        "id": "RVNXpFyX01tu",
        "outputId": "58489336-9afa-473f-bbb5-7bfa8425d01b"
      },
      "outputs": [
        {
          "data": {
            "application/vnd.jupyter.widget-view+json": {
              "model_id": "93800ea9f0fd4cab9d66c86283b8fc25",
              "version_major": 2,
              "version_minor": 0
            },
            "text/plain": [
              "  0%|          | 0/500 [00:00<?, ?it/s]"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        },
        {
          "data": {
            "image/png": "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",
            "text/plain": [
              "<Figure size 800x400 with 2 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        },
        {
          "data": {
            "image/png": "iVBORw0KGgoAAAANSUhEUgAAAoUAAAF2CAYAAAAYx+L+AAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjcuMSwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/bCgiHAAAACXBIWXMAAA9hAAAPYQGoP6dpAABZ4klEQVR4nO3de1xUZf4H8M8wcpWLICi4AgoYSl6zQNQ1FFdxrdY02zUVKRbXslS8IZUJmk6ppaZm2XpPc/O2pdYmXrCbYmlsaUrBZvDjopbKICi3Ob8/jLGRi5zHOYdh5vN+vc5L5szzzPPM4czw9Tnneb4aSZIkEBEREZFNs2vqDhARERFR02NQSEREREQMComIiIiIQSERERERgUEhEREREYFBIRERERGBQSERERERgUEhEREREYFBIRERERGBQSERNaGUlBRoNBr88ssvTd0VIiKbx6CQiKxOVFQUNBpNrS0mJqZW2fLyciQlJaFdu3ZwdnZGREQE0tLSmqDXRERNq0VTd4CISAnt27eHTqcz2deuXbta5eLi4rBz505MmzYNnTp1wsaNG/HnP/8ZR44cQf/+/dXqLhFRk2NQSERWycPDA+PGjWuwzIkTJ7B9+3YsWbIEM2fOBADExsaia9eumD17Nr788ks1ukpEZBF4+ZjIyuXn5+Opp55C27Zt4ejoiHvvvRfr1683KZOeng6NRoN//etfeP755+Hr64uWLVvikUceQV5eXq3X3LFjB3r37g1nZ2d4e3tj3LhxyM/Pr1Xu3LlzePzxx+Hj4wNnZ2eEhobihRdeqFXu6tWriIuLQ6tWreDh4YEnn3wSZWVlJmV++eUXnDt3rtb+hlRVVeHatWv1Pr9z505otVpMnDjRuM/JyQnx8fE4duxYne+diMhaMSgksmIXLlxAnz59cPDgQTz77LNYsWIFQkJCEB8fj+XLl9cqv3DhQuzfvx9JSUmYMmUK0tLSMHjwYFy/ft1YZuPGjXj88ceh1Wqh0+mQkJCA3bt3o3///rh69aqx3LfffouIiAgcPnwYCQkJWLFiBUaMGIG9e/fWavfxxx9HSUkJdDodHn/8cWzcuBGpqakmZVatWoUuXbrgxIkTjXrvP/zwA1q2bAk3Nzf4+vpi7ty5qKysNCnzzTff4J577oG7u7vJ/vDwcABAZmZmo9oiIrIGvHxMZMVeeOEFVFdX47vvvkPr1q0BAJMmTcKYMWOQkpKCf/zjH3B2djaWv3z5Ms6ePQs3NzcAwH333YfHH38c77zzDqZMmYLKykokJSWha9eu+PTTT+Hk5AQA6N+/Px566CEsW7bMGMw999xzkCQJp06dQkBAgLGNV155pVY/e/XqhXXr1hkf//rrr1i3bh1effVVofcdHByMgQMHolu3bigtLcXOnTvx8ssv44cffsC//vUvY7nCwkL4+fnVql+zr6CgQKh9IqLmiCOFRFZKkiTs2rULDz/8MCRJwi+//GLchg4diuLiYpw6dcqkTmxsrDEgBIDHHnsMfn5++OijjwAAX3/9NS5evIhnnnnGGBACwPDhw9G5c2fs378fAHDp0iV8+umneOqpp0wCQgDQaDS1+jpp0iSTx3/84x/x66+/Qq/XG/elpKRAkiRERUXd8b2vW7cO8+bNw8iRIzF+/Hh88MEHSEhIwPvvv4/jx48by12/fh2Ojo616te8t9+PkBIRWTsGhURW6tKlS7h69SrWrl0LHx8fk+3JJ58EAFy8eNGkTqdOnUweazQahISE4Pz58wCAn3/+GQAQGhpaq73OnTsbn//f//4HAOjatWuj+np74Ojp6QkAuHLlSqPqN8aMGTMAAAcPHjTuc3Z2Rnl5ea2yN27cMD5PRGQrePmYyEoZDAYAwLhx4zBhwoQ6y3Tv3l3NLtVLq9XWuV+SJLO14e/vD+DmJfIafn5+dU6QKSwsBFD3EjZERNaKQSGRlfLx8YGbmxuqq6sxePDgRtX58ccfTR5LkoTs7Gxj8BgYGAgAyMrKwqBBg0zKZmVlGZ8PCgoCAJw+ffqu3oM51Yxe+vj4GPf17NkTR44cgV6vN5lskpGRYXyeiMhW8PIxkZXSarUYNWoUdu3aVWdwdunSpVr7Nm/ejJKSEuPjnTt3orCwEMOGDQMA3H///WjTpg3eeustk8uuH3/8Mc6ePYvhw4cDuBl4DRgwAOvXr0dubq5JG6Kjf41dkkav19e6JCxJEl5++WUAwNChQ437H3vsMVRXV2Pt2rXGfeXl5diwYQMiIiKMo4tERLaAI4VEVuyVV17BkSNHEBERgYSEBISFheHy5cs4deoUDh48aHIpFQC8vLzQv39/PPnkk7hw4QKWL1+OkJAQJCQkAADs7e3x6quv4sknn8SDDz6IMWPG4MKFC1ixYgU6dOiAxMRE42u98cYb6N+/P+677z5MnDgRHTt2xPnz57F//36hpV5WrVqF1NRUHDlypMHJJqdOncKYMWMwZswYhISE4Pr169izZw+++OILTJw4Effdd5+xbEREBEaPHo3k5GRcvHgRISEh2LRpE86fP28yG5qIyBYwKCSyYm3btsWJEycwf/587N69G2+++SZat26Ne++9t87lXp5//nl8++230Ol0KCkpQXR0NN588024uLgYy8TFxcHFxQWvvPIKkpKS0LJlSzz66KN49dVX0apVK2O5Hj164Pjx45g7dy7WrFmDGzduIDAwEI8//rii7zkwMBB//OMfsWfPHhQVFcHOzg5dunTBW2+9ZbJIdY3Nmzdj7ty52LJlC65cuYLu3btj3759GDBggKL9JCKyNBrJnHdyE1GzlJ6ejoEDB2LHjh147LHHmro7RETUBHhPIRERERExKCQiIiIiBoVEREREBN5TSERERETgSCERERERgUEhEREREaEZrFNoMBhQUFAANzc3aDSapu4OERERNYIkSSgpKUG7du1gZ6f+GNSNGzdQUVEhVNfBwQFOTk5m7pHls/igsKCggKmmiIiImqm8vDy0b99e1TZv3LiBjoGuKLpYLVTf19cXP/30k80FhhYfFLq5uQEABjiPQguNfaPr2Xm2EmpPKi2VX8kgNldHqqoSqifEYJBdRWQKksah8b8jE9UCH1ytVqwtAaKj1Bo3V/mVRA68veBHWeB/75Lo71jwcyJE4BhqRM7Bikr5dQCgWv7nUVV2vCpz10RGxrSCo2ki3xkqnINVhgqkF643/h1XU0VFBYouVuOnk4Fwd5N3XPUlBnTs/TMqKioYFFqamj/GLTT2aKFxaHQ9OztHofYkjcCXvEYwKNSoOJyuEQgKIfCHVcbvyLSiwB9kTTMICkXOQ5EveDsVg0KtYFAo+DkRIhIUSgLnoOglMZG21NQEl/qsjsgxFD6fBD5bknr/MWnKW7/c3exkB4W2zOKDQiIiIiIR1ZIB1TJj5moVA2ZLo3j4fP78eWg0mlpbVFSU0k0TERGRDTNAEtpsleIjhf7+/igsLDQ+LioqwuDBgzFgwIA6y5eXl6O8vNz4WK/XK91FIiIiskIGGCB33E9+DeuheFCo1Wrh6+sL4OZsoBEjRiAyMhIpKSl1ltfpdEhNTVW6W0RERGTlqiUJ1TLvuZRb3pqoevflU089hZKSEmzbtq3eNYuSk5NRXFxs3PLy8tTsIhEREVkJXj6WR7WJJi+//DI++eQTnDhxosHp6Y6OjnB0FJs5TERERERiVAkKd+3ahfnz5+Pjjz9GcHCwGk0SERGRjTNAQrXMkT+OFCro9OnTiI2NRVJSEu69914UFRUBuJlCxsvLS+nmiYiIyEaJXA5mUKigr7/+GmVlZXj55Zfx8ssvG/c/+OCDSE9Pb/TraFq0gEYjo7si2QkASCKrvFeKZTUwiGRDEF0/SaUbZ6XfzRxXnOiCqAKLhmsEMzxoW7oI1ZOtSnAxZIFFzTVq3oSt5qK3It8Zgt8zan0ehYm+L7o7oplkRP5uqfE7FsikZW6WNtFk4cKF2L9/PzIzM+Hg4ICrV6/esU59i38vXrwYs2bNAgB06NABP//8s8nzOp0Oc+bMkdU/xYPCuLg4xMXFKd0MERERkQnDb5vcOkqpqKjA6NGjERkZiXXr1jWqzu+X9QOAjz/+GPHx8Rg1apTJ/vnz5yMhIcH4WCS9IDOaEBEREamgZsm9jRs3NrpOzbJ+NT744AMMHDgQQUFBJvvd3NxqlZWLCQGJiIjIKlX/NtFE7gbcTJ7x+61czduj6nHhwgXs378f8fHxtZ575ZVX0Lp1a/Tq1QtLlixBVVWV7NdXNCjcvHkzWrduXetAjhgxAuPHj1eyaSIiIrJx1ZLYBtzMyObh4WHcdDpd074ZAJs2bYKbmxtGjhxpsn/KlCnYvn07jhw5gn/84x9YtGgRZs+eLfv1Fb18PHr0aEyZMgUffvghRo8eDQC4ePEi9u/fjwMHDtRZh2nuiIiIyBzu5p7CvLw8uLu7G/fXt4bynDlz8Oqrrzb4mmfPnkXnzp1l9qS29evXY+zYsXBycjLZP336dOPP3bt3h4ODA/7xj39Ap9PJWvtZ0aDQ2dkZTzzxBDZs2GAMCt99910EBAQgKiqqzjpMc0dERETmYIAG1ZA3q9vwW3l3d3eToLA+M2bMuOOE2tvv/xPx2WefISsrC//617/uWDYiIgJVVVU4f/48QkNDG92G4hNNEhIS8MADDyA/Px9/+MMfsHHjRsTFxdU7xTo5Odkk4tXr9fD391e6m0RERGRlDNLNTW4dOXx8fODj4yOvkoB169ahd+/e6NGjxx3LZmZmws7ODm3atJHVhuJBYa9evdCjRw9s3rwZQ4YMwZkzZ7B///56yzPNHREREVmj3NxcXL58Gbm5uaiurkZmZiYAICQkBK6urgCAzp07Q6fT4dFHHzXW0+v12LFjB1577bVar3ns2DFkZGRg4MCBcHNzw7Fjx5CYmIhx48bB09NTVv9UWZLm73//O5YvX478/HwMHjyYI39ERESkuGqBy8dyy8vx0ksvYdOmTcbHvXr1AgAcOXLEeFtdVlYWiouLTept374dkiRhzJgxtV7T0dER27dvR0pKCsrLy9GxY0ckJiaaXHVtLI0kKb+0fnFxMdq1a4eqqips3rwZf/3rXxtdV6/Xw8PDA9Hu49BC49DoehrBTBKGa6XyKzGjSdNoDhlNfLyF6slvSCtWT+QYthBsS4SlZzQR+QwD1vl5JFMin0nRz5aFZjSpMlTgYNFaFBcXN+rePHOqiR2+POMHVzd53/nXSgzoe29hk/S7qamyTqGHhwdGjRoFV1dXjBgxQo0miYiIyMYZJI3QZqtUy2iSn5+PsWPHit8vaG8P2Nk3vnwLsbemEagnCeZ3tGv8wOettgRHGOqb2KNEW2oReU+A2PsSbUtotMBa886qOeqnFjvB/1eL/I6t8fgB4qOmIsfD0vN2C1/9sNJzwwws7fKxpVM8KLxy5QrS09ORnp6ON998U+nmiIiIiAAA1bBDtcyLolb63/JGUWX28ZUrV/Dqq6/KWiuHiIiIiNSj6D2Fly5dwo0bN5CUlISZM2cCAL788ks4ODjg0KFDSjZNRERENk4SuJ9Q4j2FyvDx8cH69esxYsQIDBkyBKGhoRg/fjyeffZZREdHK9k0ERER2TjeUyiP4peP//znPyMhIQFjx47F/fffj5YtWzaYVJq5j4mIiMgcqiU7VEsy7ym07DmWilJlSZqlS5eiqqoKO3bswNatWxucgazT6eDh4WHcuNA1ERERiTBAAwPsZG62O1KoSlCYk5ODgoICGAwGnD9/vsGyycnJKC4uNm55eXlqdJGIiIisTM3lY7mbrVL88nFFRQXGjRuHv/71rwgNDcXf//53fPfdd/UmaWbuYyIiIiL1KR4UvvDCCyguLsYbb7wBV1dXfPTRR3jqqaewb98+pZsmIiIiGyZ2T6Ht3lSo6OXj9PR0LF++HFu2bIG7uzvs7OywZcsWfPbZZ1izZo2STRMREZGNu3lPofzNVik6UhgVFYXKStOE8R06dEBxcbH8F5MkeSmKtKrcLgkA0NiLHUZV062JtCXSjIop2iSRJPAAYCfwzkTTmYn8vkTaUvN/toJpHVVN+6UWa01JqGbqORW/01RNjadW/wB1v9NEP/9NxCCQ0cQA2x0pVC33MREREZGaePlYHgaFREREZJVqlpmRV8d2g0L1rrESERERkcUye1C4b98+tGrVCtW/3WuTmZkJjUaDOXPmGMv8/e9/x7hx48zdNBEREZFRtaQR2myV2YPCP/7xjygpKcE333wDADh69Ci8vb2Rnp5uLHP06FFERUXVWb+8vBx6vd5kIyIiIpKr+reJJnI3W2X2d+7h4YGePXsag8D09HQkJibim2++wbVr15Cfn4/s7Gw8+OCDddZnmjsiIiIyB4NkJ7TZKkXe+YMPPoj09HRIkoTPPvsMI0eORJcuXfD555/j6NGjaNeuHTp16lRnXaa5IyIiInPgSKE8isw+joqKwvr16/Hf//4X9vb26Ny5M6KiopCeno4rV67UO0oIMM0dERERmYcBkH2PYPNaidG8FAmHa+4rXLZsmTEArAkK09PT672fkIiIiIiahiJBoaenJ7p3746tW7caA8ABAwbg1KlT+OGHHxocKSQiIiIyh5p1CuVutkqxd/7ggw+iurraGBR6eXkhLCwMvr6+CA0NVapZIiIiIgC3MprI3WyVYhlNli9fjuXLl5vsy8zMFH49qbwckqbxq4xrnJwEG1LxbgK18uIC0LQQ+FU72MuvUyy4hJC9QFu35dVWtC01832K5NMVzpmq4pefpaeOMqjXP6G85wr0w+ws/Xds6f0TJXLuin6nyTmGFnC8DdDAIPPTI7d8Y50/fx4LFizA4cOHUVRUhHbt2mHcuHF44YUX4ODgUG+9GzduYMaMGdi+fTvKy8sxdOhQvPnmm2jbtq2xTG5uLp5++mkcOXIErq6umDBhAnQ6HVrI/NvPNHdERERklcRyHyvzn+Vz587BYDDg7bffRkhICE6fPo2EhASUlpZi6dKl9dZLTEzE/v37sWPHDnh4eODZZ5/FyJEj8cUXX9zsb3U1hg8fDl9fX3z55ZcoLCxEbGws7O3tsWjRIll9ZFBIREREVklkiRmllqSJiYlBTEyM8XFQUBCysrKwZs2aeoPC4uJirFu3Dtu2bcOgQYMAABs2bECXLl1w/Phx9OnTBwcOHMD333+PgwcPom3btujZsycWLFiApKQkpKSkNDgKeTtFrx2tXbsW7dq1g+G2Yeq//OUveOqpp5RsmoiIiEjY7dnVysvLzd5GcXExvLy86n3+5MmTqKysxODBg437OnfujICAABw7dgwAcOzYMXTr1s3kcvLQoUOh1+tx5swZWf1RNCgcPXo0fv31Vxw5csS47/Lly/jPf/6DsWPHKtk0ERER2TiDpBHaAMDf398kw5pOpzNr37Kzs7Fy5Ur84x//qLdMUVERHBwc0KpVK5P9bdu2RVFRkbHM7wPCmudrnpND0aDQ09MTw4YNw7Zt24z7du7cCW9vbwwcOLDOOsx9TEREROZgEMhmUrMkTV5enkmGteTk5DrbmDNnDjQaTYPbuXPnTOrk5+cjJiYGo0ePRkJCguLHobEUv6dw7NixSEhIwJtvvglHR0ds3boVf/vb32BXz6xHnU6H1NRUpbtFREREVk4kl3FNeXd3d7i7u9+x/IwZMxAXF9dgmaCgIOPPBQUFGDhwIPr27Yu1a9c2WM/X1xcVFRW4evWqyWjhhQsX4Ovrayxz4sQJk3oXLlwwPieH4kHhww8/DEmSsH//fjzwwAP47LPPsGzZsnrLJycnY/r06cbHer0e/v7+SneTiIiIrEw1NKiWucSM3PI+Pj7w8fFpVNn8/HwMHDgQvXv3xoYNG+odIKvRu3dv2Nvb49ChQxg1ahQAICsrC7m5uYiMjAQAREZGYuHChbh48SLatGkDAEhLS4O7uzvCwsJkvRfFg0InJyeMHDkSW7duRXZ2NkJDQ3HffffVW565j4mIiMgc7mak0Nzy8/MRFRWFwMBALF26FJcuXTI+VzOil5+fj+joaGzevBnh4eHw8PBAfHw8pk+fDi8vL7i7u+O5555DZGQk+vTpAwAYMmQIwsLCMH78eCxevBhFRUV48cUXMXnyZNnxlCpL0owdOxYPPfQQzpw5g3HjxqnRJBEREZHFSEtLQ3Z2NrKzs9G+fXuT52oWtK+srERWVhbKysqMzy1btgx2dnYYNWqUyeLVNbRaLfbt24enn34akZGRaNmyJSZMmID58+fL7qNGEllaXyaDwYD27dujsLAQOTk5JtfW70Sv18PDwwODWo5BC42MtXZaeYh0FVJpqVA9obYqq+RXsvCMJhIzmpiw8/KUX0nkfamZ0aSFVqwtEaLvS0S1wO9Y8BwUymii5rGgu6cV+JyIZJECgCqBLEhVAn9/AFlZSqoMFTh44R0UFxc36t48c6qJHV7KGAwnV3nH9ca1SsyPONgk/W5qqowU2tnZoaCg4O5eo7Un7OxkDIOKfMELEgruAEgVgkGNSFvSdXXaEUnRBgAqHguN6JehCLXaEk1Xp2agYY1BjeB7ssIjQeZgAWnh7kjOOW8Bn3lLunzcHDCjCREREVklS0pz1xwwKCQiIiKrJEEDg8yxecmGx/IZFBIREZFV4kihPIq+8w4dOmD58uUm+3r27ImUlBQlmyUiIiIimSxupLC8vNwk6TTT3BEREZGI3+cyllPHVlncGKlOpzNJQM1sJkRERCRCbt7jms1WWdw7T05ONklAnZeX19RdIiIiomaoZqRQ7marFL18bGdnV2uR1so7LPbKNHdERERkDgbYwSBz/EtueWuiaFDo4+ODwsJC42O9Xo+ffvpJySaJiIiIAADVkgbVMkf+5Ja3JoqGw4MGDcKWLVvw2Wef4bvvvsOECROgFUn9Q0RERESKUnSkMDk5GT/99BMeeugheHh4YMGCBcIjhfkPt4fW0anR5Q2CKSQ9s+SnJXPLLLxzoTpIZTfk11EzN3NFhew6ds7OYo0JpEOy82wl1JQkkK9WKHc0gMJHAmXX+c/zS2XXcdWInfBagePeAmL/sdNqLPuSTKUkP0VjuSSWnrEa6qUzM1h46jQ1j4Wa/q9K/nfG+1cfEGqrs7P8NLK9ncTu13fRNP5zUlJiQK97hZoxG84+lkfRoNDd3R3bt2832TdhwgQlmyQiIiICAEgCuY8lLl6tjqioKEybNk3NJomIiMhGVUMjtNkqi1u8moiIiMgcDJL8y8EG67yjoVFUGymMi4vD0aNHsWLFCmg0Gmg0Gpw/f16t5omIiMjGGH67fCx3s1WqjRSuWLECP/zwA7p27Yr58+cDuLlkze2Y5o6IiIhIfaqFwx4eHnBwcICLiwt8fX3h6+tb5/I0THNHRERE5mCARmizVRY3Rso0d0RERGQONYtXy91slcVNNGGaOyIiIjIHkXsEeU+hShwcHFBdLX+BWCIiIiK5DBBYvNqGLx+rGhR26NABGRkZOH/+PFxdXeHl5QU7O9uNyImIiEg5ksA9gpINB4WqRmQzZ86EVqtFWFgYfHx8kJubq2bzRERERFQPVUcK77nnHhw7dkyobp/RmXBwdTBzj2q7x6VIdp129lcU6EndtIJ5QrUag5l7UrdqwXsxRFaQLzOod+/p1WoXoXorjraXXSdusEAqSNH8tgZ1zgsAgMhVAYHczADEjodIHcErHQZX+eeuXZn8XOQAINWxysOdaFTMlyzZi+XS1lTKvxXJ4CD/T55G8Jan6pbyf8clHcVyx39eKv9zvFlfJdRWi5LGn4dV1TcAvCLUjrkw97E8vHZLREREVsmSFq8+f/484uPj0bFjRzg7OyM4OBjz5s1DRUX9gfbly5fx3HPPITQ0FM7OzggICMCUKVNQXFxsUq4mKcjvt+3bt8vuo8XNPiYiIiIyB0saKTx37hwMBgPefvtthISE4PTp00hISEBpaSmWLl1aZ52CggIUFBRg6dKlCAsLw88//4xJkyahoKAAO3fuNCm7YcMGxMTEGB+3atVKdh9VCQp37tyJ1NRUZGdnw8XFBb169cIHH3yAli1bqtE8ERER2SCRxaiVmn0cExNjErQFBQUhKysLa9asqTco7Nq1K3bt2mV8HBwcjIULF2LcuHGoqqpCixa3wrhWrVrB19f3rvqo+OXjwsJCjBkzBk899RTOnj2L9PR0jBw5EpKK96wQERGR7akZKZS7qaW4uBheXl6y67i7u5sEhAAwefJkeHt7Izw8HOvXrxeKsxQfKSwsLERVVRVGjhyJwMBAAEC3bt3qLc/cx0RERNTUbo8/zJ1cIzs7GytXrqx3lLAuv/zyCxYsWICJEyea7J8/fz4GDRoEFxcXHDhwAM888wyuXbuGKVOmyOqT4iOFPXr0QHR0NLp164bRo0fjnXfewZUr9c/WZe5jIiIiMoe7GSn09/c3iUd0Ol2dbcyZM6fOiR6/386dO2dSJz8/HzExMRg9ejQSEhIa9V70ej2GDx+OsLAwpKSkmDw3d+5c9OvXD7169UJSUhJmz56NJUuWyD5eio8UarVapKWl4csvv8SBAwewcuVKvPDCC8jIyEDHjh1rlU9OTsb06dONj/V6PQNDIiIiku1uJprk5eXB3d3duL++UcIZM2YgLi6uwdcMCgoy/lxQUICBAweib9++WLt2baP6VFJSgpiYGLi5uWHPnj2wt7dvsHxERAQWLFiA8vJyWaObqkw00Wg06NevH/r164eXXnoJgYGB2LNnj0nwV4O5j4mIiMgc7iYodHd3NwkK6+Pj4wMfH59GvXZ+fj4GDhyI3r17Y8OGDY3K6qbX6zF06FA4Ojriww8/hJOT0x3rZGZmwtPTU3Y8pXhQmJGRgUOHDmHIkCFo06YNMjIycOnSJXTp0kXppomIiMiGSZA/m1ipabD5+fmIiopCYGAgli5dikuXLhmfq5k1nJ+fj+joaGzevBnh4eHQ6/UYMmQIysrK8O6770Kv1xvvdfTx8YFWq8XevXtx4cIF9OnTB05OTkhLS8OiRYswc+ZM2X1UPCh0d3fHp59+iuXLl0Ov1yMwMBCvvfYahg0bpnTTRERERBYhLS0N2dnZyM7ORvv2ptmuamYKV1ZWIisrC2VlZQCAU6dOISMjAwAQEhJiUuenn35Chw4dYG9vj9WrVyMxMRGSJCEkJASvv/56o+9V/D2NZOFrw+j1enh4eGBgi1FooWn4GvrvaX3bCrUnXb8uv5JgGiTpRvmdC5mJVC2QzkwSqCOQUgsAYLDo0xAardicLDvv1vIriZxPose9hUA90dRzIiw9zV2V2GcfVWIpxqgZaSEw5iLyeQQAke93Fc7BKkMFDhatNS6hoqaa2GHQ/kloITPlYFVpOQ4Pf6tJ+t3UmNGEiIiIrJIlZTRpDhgUEhERkVViUChPkwWFFRUVcHBwaKrmiYiIyMoxKJRHtaAwKioKXbt2RYsWLfDuu++iW7duOHLkiFrNExERkY2RJA0kmUGe3PLWRNWRwk2bNuHpp5/GF198UW8ZprkjIiIiUp+qQWGnTp2wePHiBsvodDqkpqaq1CMiIiKyVgZoZK9TKLe8NVE89/Hv9e7d+45lkpOTUVxcbNzy8vJU6BkRERFZm7vJfWyLVB0pbNmy5R3LMM0dERERmQPvKZSHS9IQERGRVeLsY3kYFBIREZFV4kihPKreU0hERERElkm1kcL09PS7qm+4rzMMLZwaXV77f7+KNVQpkA9SNO+sQD2NaFsi+XTtBP7PYBDIwal2W2oSyd0rkoNXMP+2UFsivytRdir+j13F/LEWnnKezEAj8pkUzX2sJjnnrgWc55LA5WNbHink5WMiIiKyShLkx6ZNH8o2HQaFREREZJUM0EDDdQobTfHrQKWlpYiNjYWrqyv8/Pzw2muvISoqCtOmTVO6aSIiIrJhNRNN5G62SvGgcNasWTh69Cg++OADHDhwAOnp6Th16pTSzRIREZGN4+LV8ih6+fjatWtYt24d3n33XURHRwO4mf+4ffv29dZh7mMiIiIi9Sk6UpiTk4OKigpEREQY93l5eSE0NLTeOjqdDh4eHsbN399fyS4SERGRlZIksc1WWdw6hcx9TERERObAewrlUTQoDA4Ohr29PTIyMoz7rly5gh9++KHeOo6OjnB3dzfZiIiIiORiUCiPovcUurq6Ij4+HrNmzULr1q3Rpk0bvPDCC7BTc/FbIiIiskkGSQMNcx83muLrFC5ZsgTXrl3Dww8/DDc3N8yYMQPFxcVKN0tEREQ2TuQeQVu+p1DxoNDV1RVbtmzBli1bjPv2798v+3VanL+AFnYOja/g5Ci7DQBCqeck0VRXFZXy60jldy7UhCSDep8mjWgKNI2KI9UiqfhEUhnaC36UBUbtJdG2tCoed5FvdYFzV1N2Q347ADQi54VIykRAPAUi3R1LvyIm2j85567oOUtNhhlNiIiIyCrdHCmUm/tYoc40Axb+XxkiIiIiMZY00eT8+fOIj49Hx44d4ezsjODgYMybNw8VFRUN1ouKioJGozHZJk2aZFImNzcXw4cPh4uLC9q0aYNZs2ahSuAqZpOMFKanpzdFs0RERGRDpN82uXWUcO7cORgMBrz99tsICQnB6dOnkZCQgNLSUixdurTBugkJCZg/f77xsYuLi/Hn6upqDB8+HL6+vvjyyy9RWFiI2NhY2NvbY9GiRbL6qGhQGBUVha5duwIAtmzZAnt7ezz99NOYP38+NLzXgIiIiBQkMvKn1EhhTEwMYmJijI+DgoKQlZWFNWvW3DEodHFxga+vb53PHThwAN9//z0OHjyItm3bomfPnliwYAGSkpKQkpICB4fGz8dQ/PLxpk2b0KJFC5w4cQIrVqzA66+/jn/+85/1li8vL4derzfZiIiIiGSTBDeVFBcXw8vL647ltm7dCm9vb3Tt2hXJyckoKyszPnfs2DF069YNbdu2Ne4bOnQo9Ho9zpw5I6s/il8+9vf3x7Jly6DRaBAaGorvvvsOy5YtQ0JCQp3ldTodUlNTle4WERERUb1uH5RydHSEo6PgyiZ1yM7OxsqVK+84SvjEE08gMDAQ7dq1w7fffoukpCRkZWVh9+7dAICioiKTgBCA8XFRUZGsPik+UtinTx+TS8WRkZH48ccfUV3PMglMc0dERERmITLJ5LfLx/7+/vDw8DBuOp2uzibmzJlTayLI7du5c+dM6uTn5yMmJgajR4+ud5CsxsSJEzF06FB069YNY8eOxebNm7Fnzx7k5OSY5xj9jsUtSWPuSJyIiIhs090sXp2Xl2eSare+2GTGjBmIi4tr8DWDgoKMPxcUFGDgwIHo27cv1q5dK69zACIiIgDcHGkMDg6Gr68vTpw4YVLmwoULAFDvfYj1UTwo/H3eYwA4fvw4OnXqBK3IAr1EREREjXQ3E03c3d1NgsL6+Pj4wMfHp1GvnZ+fj4EDB6J3797YsGGDUNrfzMxMAICfnx+Am1dgFy5ciIsXL6JNmzYAgLS0NLi7uyMsLEzWayt++Tg3NxfTp09HVlYW3nvvPaxcuRJTp05VulkiIiKydTWXg+VuCsjPz0dUVBQCAgKwdOlSXLp0CUVFRSb3/eXn56Nz587Gkb+cnBwsWLAAJ0+exPnz5/Hhhx8iNjYWAwYMQPfu3QEAQ4YMQVhYGMaPH4///ve/+OSTT/Diiy9i8uTJsq+8Kj5SGBsbi+vXryM8PBxarRZTp07FxIkTlW6WiIiIbJwl5T5OS0tDdnY2srOz0b59+9vavNloZWUlsrKyjLOLHRwccPDgQSxfvhylpaXw9/fHqFGj8OKLLxrrarVa7Nu3D08//TQiIyPRsmVLTJgwwWRdw8ZSPCi0t7fH8uXLsWbNmrt7IXdXQCsj4i29fnftqUAjkgvWTvBXJpJrVYBGMJ+mVCl/5XWh44dbHz5ZRHM6C+SdFemfUC5dQCj/qUY0l67I2qRqrmdaJfC7ukMmArJdQmeumvnVRL8z5PTRlvPF1SEuLu6O9x526NDB5G+Av78/jh49esfXDgwMxEcffXS3XbS8iSZEREREZmFJKU2aAQaFREREZJUsKaNJc6DoRJP09HS8+uqrmDJlCtq0aQMnJyf0798fX331lZLNEhEREd1kodlMLJHis49nz56NXbt2YdOmTTh16hRCQkIwdOhQXL58uc7yTHNHRERE5iB34WqRkUVromhQWFpaijVr1mDJkiUYNmwYwsLC8M4778DZ2Rnr1q2rs45OpzNZQdzf31/JLhIREZG1svDcx5ZG0aAwJycHlZWV6Nevn3Gfvb09wsPDcfbs2TrrMM0dERERkfosbqIJ09wRERGReWggf4EgXj5WRHBwMBwcHPDFF18Y91VWVuKrr76SnXqFiIiISBZePpZF0ZHCli1b4umnn8asWbPg5eWFgIAALF68GGVlZYiPj1eyaSIiIrJ1XKdQFsUvH7/yyiswGAwYP348SkpKcP/99+OTTz6Bp6en0k0TERGRLRPJZWzDs48VDwqdnJzwxhtv4I033rir15EKiiBpHBpdXuPZSqydKvnp1kRSmQm3JUgSTdMmk0arFasoyU+5JLxsgMixsBNsS+B4CKesE6FmGjk1U16JtCWSXlDw+AmlMlTzd0V3TzDlpxA1P1tyzkMLOGctKfdxc6DiWUtERERElsriZh8TERERmQXvKZRF0aAwKioK3bt3h5OTE/75z3/CwcEBkyZNQkpKipLNEhEREfGeQpkUv3y8adMmtGzZEhkZGVi8eDHmz5+PtLQ0pZslIiIiG6eRxDZbpfjl4+7du2PevHkAgE6dOmHVqlU4dOgQ/vSnP9VZvry8HOXl5cbHzH1MREREQnj5WBbFRwq7d+9u8tjPzw8XL16stzxzHxMREZFZ1Fw+lrvZKMWDQnt7e5PHGo0GhgaW3GDuYyIiIiL1WdzsY+Y+JiIiIrPg5WNZLC4oJCIiIjILBoWyMCgkIiIi68SgUBZFg8L09PRa+/79738LvZbGwR4ajf2dCxoriN0oqnFsfCo9o2qxtGSaFvIPv0h6LEAsdZpIyjrR/gmlChRMBycJ3EkrnL5PpI8ix1DNdFKiKRNFUgXacr6p2wh/tgQwpV4TaQ7HXc55aAmfX65TKAtHComIiMgqiaw7aMvrFDL3MRERERFxpJCIiIisFO8plMWsI4VRUVF47rnnMG3aNHh6eqJt27Z45513UFpaiieffBJubm4ICQnBxx9/bM5miYiIiCza+fPnER8fj44dO8LZ2RnBwcGYN28eKioqGqyj0Wjq3Hbs2GEsV9fz27dvl91Hs18+3rRpE7y9vXHixAk899xzePrppzF69Gj07dsXp06dwpAhQzB+/HiUlZXVWb+8vBx6vd5kIyIiIpJLA4Hcxwr15dy5czAYDHj77bdx5swZLFu2DG+99Raef/75euv4+/ujsLDQZEtNTYWrqyuGDRtmUnbDhg0m5UaMGCG7j2a/fNyjRw+8+OKLAG5mJ3nllVfg7e2NhIQEAMBLL72ENWvW4Ntvv0WfPn1q1dfpdEhNTTV3t4iIiMjWWNDs45iYGMTExBgfBwUFISsrC2vWrMHSpUvrrKPVauHr62uyb8+ePXj88cfh6upqsr9Vq1a1yspl9pHC3+c61mq1aN26Nbp162bc17ZtWwCoN/8x09wRERGRWUiCG1DrqmV5ebnZu1dcXAwvL69Glz958iQyMzMRHx9f67nJkyfD29sb4eHhWL9+vdAyVmYfKawr1/Hv99Wsf1Vf/mOmuSMiIqKm5u/vb/J43rx5SElJMdvrZ2dnY+XKlfWOEtZl3bp16NKlC/r27Wuyf/78+Rg0aBBcXFxw4MABPPPMM7h27RqmTJkiq0+cfUxERETW6S5mH+fl5cHd3d24u74Bqzlz5uDVV19t8CXPnj2Lzp07Gx/n5+cjJiYGo0ePNt5edyfXr1/Htm3bMHfu3FrP/X5fr169UFpaiiVLljAoJCIiIgLubvFqd3d3k6CwPjNmzEBcXFyDZYKCgow/FxQUYODAgejbty/Wrl3b6H7t3LkTZWVliI2NvWPZiIgILFiwAOXl5bKuvjIoJCIiIuukwjqFPj4+8PHxaVTZ/Px8DBw4EL1798aGDRtgZ9f4qR3r1q3DI4880qi2MjMz4enpKft2PLMGhXXlOj5//rzJ46ioKEydOlX2VGlNKw9o7GS8ucoqWa9vJJKrURLMwVsl0EfRfL8C+ZklO/n9E82ZKnJDrMZBIE81AI1InmVRMj7wRmr2T+R816qYCKk55IIVwNzCNkDkdyx6Xoh8JtXIS6yxgKRpFrR4dX5+PqKiohAYGIilS5fi0qVLxudqZg3n5+cjOjoamzdvRnh4uPH57OxsfPrpp/joo49qve7evXtx4cIF9OnTB05OTkhLS8OiRYswc+ZM2X3kSCERERFZJUvKfZyWlobs7GxkZ2ejffv2Js/VDIxUVlYiKyur1lrO69evR/v27TFkyJBar2tvb4/Vq1cjMTERkiQhJCQEr7/+eqPvVfw9BoVERERECouLi7vjvYcdOnSo88rZokWLsGjRojrr3L7+4d1gUEhERETWyYIWr24OGBQSERGRdbKgewqbA4sLCsvLy01WDWfuYyIiIhJhSfcUNgcWMDXIlE6ng4eHh3G7fUVxIiIioka5izR3tsjigkLmPiYiIiJSn8VdPmbuYyIiIjILgcvHtjxSaHFBIREREZFZcKKJLAwKiYiIyDoxKJRF9aCwrlR4jWG4+AsMmsanNbNr7SXUjkiKMUkwpZ5IPUk0BZpgKj7ZzaiY1kj0uGvsRNJPCb4vtVLWiaTTE62nZoo20bZEUniJtKXVyq8DCKerFKLWsRAlmm6NqQJvMQgcQzXOQZF+mRlnH8uj+F/wqKgoTJs2TelmiIiIiOguWNzsYyIiIiJSH+8pJCIiIuvEewplUX2kcP/+/fDw8MDWrVvVbpqIiIhsSM09hXI3W6XqSOG2bdswadIkbNu2DQ899FCdZZjmjoiIiMzGhoM8uVQbKVy9ejWeeeYZ7N27t96AEGCaOyIiIjITprmTRZWRwp07d+LixYv44osv8MADDzRYNjk5GdOnTzc+1uv1DAyJiIhINi5JI48qI4W9evWCj48P1q9fD+kOa1I5OjrC3d3dZCMiIiIiZakSFAYHB+PIkSP44IMP8Nxzz6nRJBEREdk6Xj6WRbWJJvfccw+OHDmCqKgotGjRAsuXL1eraSIiIrJBvHwsj6qzj0NDQ3H48GFERUVBq9XitddeU7N5IiIisiVcp1AWxYPC23Mdd+nSBcOGDUNOTo6s19E4O0Nj1/jcx6gSzEdcLZAPUjR3p0r5iFWl5nsSzEcsCeTj1NgJvi+R/Kxq5qrVChxD0TzLAiSRPNWChFoS/J4R/s4QodY5KIo5jG9R87jbCgaFsjRJRpMVK1bcccIJERER0d3g5WN5miQo9PDwaIpmiYiIiKgeqqe5A4C4uDiMGDGiKZomIiIiW8HZx7I0SVBIREREpDgLCwofeeQRBAQEwMnJCX5+fhg/fjwKCgoarHPjxg1MnjwZrVu3hqurK0aNGoULFy6YlMnNzcXw4cPh4uKCNm3aYNasWagSuOfZ4oLC8vJy6PV6k42IiIhIrpp7CuVuShk4cCDef/99ZGVlYdeuXcjJycFjjz3WYJ3ExETs3bsXO3bswNGjR1FQUICRI0can6+ursbw4cNRUVGBL7/8Eps2bcLGjRvx0ksvye5fk9xT2BCdTofU1NSm7gYRERE1dxY2+zgxMdH4c2BgIObMmYMRI0agsrIS9vb2tcoXFxdj3bp12LZtGwYNGgQA2LBhA7p06YLjx4+jT58+OHDgAL7//nscPHgQbdu2Rc+ePbFgwQIkJSUhJSUFDg6NX7nF4kYKk5OTUVxcbNzy8vKauktERETUDN3NSOHtVy3Ly8vN2rfLly9j69at6Nu3b50BIQCcPHkSlZWVGDx4sHFf586dERAQgGPHjgEAjh07hm7duqFt27bGMkOHDoVer8eZM2dk9cnigkLmPiYiIqKm5u/vDw8PD+Om0+nM8rpJSUlo2bIlWrdujdzcXHzwwQf1li0qKoKDgwNatWplsr9t27YoKioylvl9QFjzfM1zclhcUEhERERkFncx0SQvL8/kymVycnKdTcyZMwcajabB7dy5c8bys2bNwjfffIMDBw5Aq9UiNjbWYtZutrh7ComIiIjM4i7uKWzs1coZM2YgLi6uwTJBQUHGn729veHt7Y177rkHXbp0gb+/P44fP47IyMha9Xx9fVFRUYGrV6+ajBZeuHABvr6+xjInTpwwqVczO7mmTGOpHhRGRUWhsLAQDzzwgKx6+v5BaGHv1OjyHqfkDZnW0FRUyK9Urd6Aq8Zg2anxRP+3o9Fq5bdVXS3WlkhaLYH+ARBLCSfSP9FUYSK/L9FzUKCPGjVPd5FjoWLKP+HjLoKp5+6ehYz81Ev03LXwv0G300B+Cku55X18fODj4yOz1k2G345nffcr9u7dG/b29jh06BBGjRoFAMjKykJubq4xiIyMjMTChQtx8eJFtGnTBgCQlpYGd3d3hIWFyeqPqpePq6qqsGjRIty4cQP33nuvmk0TERGRrbGgdQozMjKwatUqZGZm4ueff8bhw4cxZswYBAcHGwO8/Px8dO7c2Tjy5+Hhgfj4eEyfPh1HjhzByZMn8eSTTyIyMhJ9+vQBAAwZMgRhYWEYP348/vvf/+KTTz7Biy++iMmTJ8PR0VFWH1UNCk+fPo3Bgweja9eumDRpkppNExERkY2xpHUKXVxcsHv3bkRHRyM0NBTx8fHo3r07jh49agzeKisrkZWVhbKyMmO9ZcuW4aGHHsKoUaMwYMAA+Pr6Yvfu3cbntVot9u3bB61Wi8jISIwbNw6xsbGYP3++7D6qevm4Z8+eCA8PR6dOneDp6alm00RERERNplu3bjh8+HCDZTp06FDrNiwnJyesXr0aq1evrrdeYGAgPvroo7vuIyeaEBERkXWysMWrLZ3FBYXl5eUmN1wyzR0REREJs+EgTy6LW6dQp9OZLBbp7+/f1F0iIiKiZsiS7ilsDiwuKGSaOyIiIjILC5p93BxY3OVjR0dH2VOoiYiIiG4nMvLHkUIiIiIismkWN1JIREREZBacfSyL6kFhenq6UD33I1looXFofAU3V6F2YJB/NkjVgml/VEwXJJR+TuBYaJzELv1LN+pO8aNIWwKpDDWCKfVEfseSQB2NaMoqkXrCbamYvk+EwOdYqqpSoCNkDYTOXNG/JSLf76LfaXJYQKo/Xj6WR9HLx1FRUZg2bZqSTRARERHVjRNNZOHlYyIiIrJOvHwsC4NCIiIiskq8fCyP4rOPDQYDZs+eDS8vL/j6+iIlJUXpJomIiIhIJsWDwk2bNqFly5bIyMjA4sWLMX/+fKSlpdVbvry8HHq93mQjIiIiko33FMqieFDYvXt3zJs3D506dUJsbCzuv/9+HDp0qN7yTHNHRERE5qCRJKHNVqkSFP6en58fLl68WG95prkjIiIis+BIoSyKTzSxt7c3eazRaGBoYB02prkjIiIic+BEE3k4+5iIiIisE5ekkYW5j4mIiIiII4VERERknXj5WB5Fg8K68hz/+9//Fnotqb0fJG3j7zXUXC0RageSQO5JwRySauZNlUTyGAvkqjWUlsmuI9qWdP26UFvQyB8gl1QcU9eome9XpC2RHMaibYkeC5HZgwJtqfq7EiXSRzVnXzaHYyhCq5Vfp4VAHUAox7rwn38554bAd63Z8fKxLBwpJCIiIqvEkUJ5GBQSERGRdeJIoSyKj+2WlJRg7NixaNmyJfz8/LBs2TJERUVh2rRpSjdNRERENq5mtLCxmy1TPCicPn06vvjiC3z44YdIS0vDZ599hlOnTindLBERERHJoGhQWFJSgk2bNmHp0qWIjo5G165dsWHDBlQ3MDGDuY+JiIjILCRJbFPII488goCAADg5OcHPzw/jx49HQUFBveUvX76M5557DqGhoXB2dkZAQACmTJmC4uJik3IajabWtn37dtn9UzQo/N///ofKykqEh4cb93l4eCA0NLTeOsx9TEREROYg99Kx0peQBw4ciPfffx9ZWVnYtWsXcnJy8Nhjj9VbvqCgAAUFBVi6dClOnz6NjRs34j//+Q/i4+Nrld2wYQMKCwuN24gRI2T3z+ImmiQnJ2P69OnGx3q9noEhERERyWdhE00SExONPwcGBmLOnDkYMWIEKisra6UFBoCuXbti165dxsfBwcFYuHAhxo0bh6qqKrRocSuMa9WqFXx9fe+qf4qOFAYFBcHe3h5fffWVcV9xcTF++OGHeus4OjrC3d3dZCMiIiKSS2MQ29Rw+fJlbN26FX379q0zIKxPcXEx3N3dTQJCAJg8eTK8vb0RHh6O9evXQxK4DK7oSKGbmxsmTJiAWbNmwcvLC23atMG8efNgZ2fXPBZ9JSIioubrLkYKb5/T4OjoCEfHxifRqE9SUhJWrVqFsrIy9OnTB/v27Wt03V9++QULFizAxIkTTfbPnz8fgwYNgouLCw4cOIBnnnkG165dw5QpU2T1TfHZx6+//joiIyPx0EMPYfDgwejXrx+6dOkCJycnpZsmIiIiEuLv728yx0Gn09VZbs6cOXVO9Pj9du7cOWP5WbNm4ZtvvsGBAweg1WoRGxvbqFE9vV6P4cOHIywsDCkpKSbPzZ07F/369UOvXr2QlJSE2bNnY8mSJbLfs+L3FLq5uWHr1q3Gx6WlpUhNTa0V5d5JVSsnoEXjA0mH4muyXt9IIB2cUDojwXrCI6wis6lEUuPZqzgCLPK7EiR83EXODcG0iRZPzdRpIm2p2T81Wfr7svT+iRL5HGsFx2lEvgvV+J5R8Tu6PneT0SQvL8/kFrb6RglnzJiBuLi4Bl8zKCjI+LO3tze8vb1xzz33oEuXLvD398fx48cRGRlZb/2SkhLExMTAzc0Ne/bsuePl5oiICCxYsADl5eWyRjcVDwq/+eYbnDt3DuHh4bh69SpGjRoFvV6Pv//97+jduzd69uypdBeIiIjIFoksMfNb+cbOa/Dx8YGPj49I72D4LW91eXl5vWX0ej2GDh0KR0dHfPjhh4260pqZmQlPT0/Zl7tVmX28dOlSZGVlQaPRoLS0FJs2bcKf/vQneHt7q9E8ERER2SBLyn2ckZGBr776Cv3794enpydycnIwd+5cBAcHG0cJ8/PzER0djc2bNyM8PBx6vR5DhgxBWVkZ3n33XZP1m318fKDVarF3715cuHABffr0gZOTE9LS0rBo0SLMnDlTdh8VDwp79eqFkydPAgBWrVqFJUuWYPz48Uo3S0RERLbOgpakcXFxwe7duzFv3jyUlpbCz88PMTExePHFF40jepWVlcjKykJZWRkA4NSpU8jIyAAAhISEmLzeTz/9hA4dOsDe3h6rV69GYmIiJElCSEgIXn/9dSQkJMjuo2rrFMbFxWHTpk0Abt6fFRgYiPPnz6vVPBEREdkYSxop7NatGw4fPtxgmQ4dOphMOomKirrjJJSYmBjExMSYpY+qBYUrVqxAcHAw1q5di6+++graem7ALy8vN7m2zjR3RERERMpTfEmaGh4eHnBzc4NWq4Wvr2+9N2UyzR0RERGZhYXlPrZ0qgWFjZWcnIzi4mLjlpeX19RdIiIiombI0nIfWzqLy31srhXDiYiIyMZZ0EST5sDigkIiIiIic7CkiSbNAYNCIiIisk4GSX5mFQvIxNJULO6eQiIiIiJSn6ojhdOmTcO0adOE6v5vTAvYOTe+u+6nA4Ta6TgyR3adgJaXhdqKcPuf7Dr2miqhtlra1Z9Cx5y0gjdj2MEgu45B8P801ZCfx1j0fW2+0Fd2nSvP+MquY/dLsew6wkT/F20nkD/a0mcBiubEtlPx/+NqtkVGksudU5HdrrKNm1BbdpXy8xhrr5QJtaWplPE3yCD4+TAn3lMoCy8fExERkVXSQOCeQkV60jwwKCQiIiLrJLLuoKVfoVCQ4tcVDAYDdDodOnbsCGdnZ/To0QM7d+5UulkiIiKycVynUB7FRwp1Oh3effddvPXWW+jUqRM+/fRTjBs3Dj4+PnjwwQeVbp6IiIiIGkHRoLC8vByLFi3CwYMHERkZCQAICgrC559/jrfffrvOoJC5j4mIiMgsONFEFkWDwuzsbJSVleFPf/qTyf6Kigr06tWrzjo6nQ6pqalKdouIiIhsgEaSoJF5j6Dc8tZE0aDw2rVrAID9+/fjD3/4g8lz9aWyS05OxvTp042P9Xo9/P39leskERERWSfDb5vcOjZK0aAwLCwMjo6OyM3NbfT9g8x9TERERObAkUJ5FA0K3dzcMHPmTCQmJsJgMKB///4oLi7GF198AXd3d0yYMEHJ5omIiMiW8Z5CWRSffbxgwQL4+PhAp9Phf//7H1q1aoX77rsPzz//vNJNExEREVEjKR4UajQaTJ06FVOnTjXui4qKwu7duzFgwIBGv07wlgq0aNH4ZRXt8wpk9bNG+Xr5qX9+rLYXauuHio6y60iiKcYklW6S0AgufSnSP8G2NCLp1gRpfV1k17GTVExZJ0LF4yecRk7k8o9oWyKq5aclE+6fwYZvkGpCmmvy/5Y43BBMRyryd6FKLGWqLIYK5du4Ey5eLQszmhAREZFVElmMmotXExEREVkbjhTKoniau9LSUsTGxsLV1RV+fn547bXXlG6SiIiICBqD2GarFA8KZ82ahaNHj+KDDz7AgQMHkJ6ejlOnTindLBEREdm6mpFCuZuNUnzx6nXr1uHdd99FdHQ0AGDTpk1o3759vXWY5o6IiIhIfYqOFObk5KCiogIRERHGfV5eXggNDa23jk6ng4eHh3FjNhMiIiISIgluCnnkkUcQEBAAJycn+Pn5Yfz48SgoaHi1lKioKGg0GpNt0qRJJmVyc3MxfPhwuLi4oE2bNpg1axaqBGaYK375WK7k5GQUFxcbt7y8vKbuEhERETVDNRlN5G5KGThwIN5//31kZWVh165dyMnJwWOPPXbHegkJCSgsLDRuixcvNj5XXV2N4cOHo6KiAl9++SU2bdqEjRs34qWXXpLdP0UvHwcHB8Pe3h4ZGRkICAgAAFy5cgU//PBDvWnvmOaOiIiIzMLCZh8nJiYafw4MDMScOXMwYsQIVFZWwt6+/jWPXVxc4OvrW+dzBw4cwPfff4+DBw+ibdu26NmzJxYsWICkpCSkpKTAwcGh0f1TdKTQ1dUV8fHxmDVrFg4fPozTp08jLi4OdnYWN0BJRERE1kYCYJC5qTTP5PLly9i6dSv69u3bYEAIAFu3boW3tze6du2K5ORklJXdWhz92LFj6NatG9q2bWvcN3ToUOj1epw5c0ZWnxRfp3DJkiW4du0aHn74Ybi5uWHGjBkoLrbwjA1ERETU7IlcDq4pf/tEV3NdyUxKSsKqVatQVlaGPn36YN++fQ2Wf+KJJxAYGIh27drh22+/RVJSErKysrB7924AQFFRkUlACMD4uKioSFbfFA8KXV1dsWXLFmzZssW4b9asWbJfx+6bH2CnkZFOro237DYAQKOVP4opiaaR0mplV9EIL7Uuvy3VUuMBEOqfaEo9EaKp3UQuQ4icT6Kj7wLnu8h5K0oSPO4aoXSQAqnnmgMbXl6jSYl8jjWif5L5O1bC7RNd582bh5SUlFrl5syZg1dffbXB1zp79iw6d+4M4GYMFB8fj59//hmpqamIjY3Fvn37oKknleXEiRONP3fr1g1+fn6Ijo5GTk4OgoODZb6rhjGjCREREVknCQL3FN78Jy8vD+7u7sbd9Y0SzpgxA3FxcQ2+ZFBQkPFnb29veHt745577kGXLl3g7++P48ePIzIyslHdq1nRJTs7G8HBwfD19cWJEydMyly4cAEA6r0PsT4MComIiMg63cVEE3d3d5OgsD4+Pj7w8fER6R0Mv40o/3595jvJzMwEAPj5+QEAIiMjsXDhQly8eBFt2rQBAKSlpcHd3R1hYWGy+sMZH0RERGSd5E4yqdkUkJGRgVWrViEzMxM///wzDh8+jDFjxiA4ONg4Spifn4/OnTsbR/5ycnKwYMECnDx5EufPn8eHH36I2NhYDBgwAN27dwcADBkyBGFhYRg/fjz++9//4pNPPsGLL76IyZMny74HUpWg0GAwYPHixQgJCYGjoyMCAgKwcOFCNZomIiIiG2VJ6xS6uLhg9+7diI6ORmhoKOLj49G9e3ccPXrUGLxVVlYiKyvLOLvYwcEBBw8exJAhQ9C5c2fMmDEDo0aNwt69e42vq9VqsW/fPmi1WkRGRmLcuHGIjY3F/PnzZfdRlcvHycnJeOedd7Bs2TL0798fhYWFOHfuXJ1lmeaOiIiIzMKC1ins1q0bDh8+3GCZDh06QPpd+/7+/jh69OgdXzswMBAfffTRXfdR8aCwpKQEK1aswKpVqzBhwgQANxe17t+/f53ldTodUlNTle4WEREREf2O4pePz549i/LyckRHRzeqPNPcERERkVnUjBTK3WyU4iOFzs7OssozzR0RERGZhQVdPm4OFB8p7NSpE5ydnXHo0CGlmyIiIiK6xYJmHzcHio8UOjk5ISkpCbNnz4aDgwP69euHS5cu4cyZM4iPj1e6eSIiIrJRd5PmzhapMvt47ty5aNGiBV566SUUFBTAz88PkyZNUqNpIiIislW8fCyLokFhVFQUevbsieXLl+OFF17ACy+8IPxaWj8faO1k3GtY1QzymIrkZxXMRywJtKURyDsr0o4ojZ3gGL9IzmTR91Ut/zyUBL6QVP2freixEDifNGp+jKsFzifB4y7yO1bzD1V9OVhJBtF85CJsOIgh82KaOyIiIrJOBgnQyAyaVRzcsDQMComIiMg68fKxLIqPb1dVVeHZZ5+Fh4cHvL29MXfuXLFLJ0RERESyiKxRaLsxiuJB4aZNm9CiRQucOHECK1aswOuvv45//vOfSjdLREREto6LV8ui+OVjf39/LFu2DBqNBqGhofjuu++wbNkyJCQk1FmeuY+JiIjILAwCI382fE+h4iOFffr0MZnJFhkZiR9//BHV9czK1Ol08PDwMG7+/v5Kd5GIiIjI5qk4Z75xmPuYiIiIzEIyiG02SvHLxxkZGSaPjx8/jk6dOkGr1dZZnrmPiYiIyCw4+1gWxUcKc3NzMX36dGRlZeG9997DypUrMXXqVKWbJSIiIltnkMQ2G6X4SGFsbCyuX7+O8PBwaLVaTJ06FRMnTlS6WSIiIrJ1HCmURdGgMD093fjzmjVr7uq1JHt7SFr7RpfXNIdIXyDtFwxig7vCKeFUIpJSr1loIf8jphFIjSfSDgBAK3A+qZm+S00iqd0E/3gI/Y7VJJrmTs0/pir+viwe0xLWT4JAUKhIT5oFK/12JyIiIiI5mOaOiIiIrBMvH8vCoJCIiIisk8EAQObtUwbLvt1KSYpfPv7Pf/6D/v37o1WrVmjdujUeeugh5OTkKN0sERER2TqmuZNF8aCwtLQU06dPx9dff41Dhw7Bzs4Ojz76KAz1ROLl5eXQ6/UmGxEREZFsDAplUfzy8ahRo0wer1+/Hj4+Pvj+++/RtWvXWuV1Oh1SU1OV7hYRERFZO+Y+lkXxkcIff/wRY8aMQVBQENzd3dGhQwcANxe1rgvT3BERERGpT/Gg8OGHH8bly5fxzjvvICMjw5j2rqKios7yjo6OcHd3N9mIiIiI5JIkg9CmlEceeQQBAQFwcnKCn58fxo8fj4KCgnrLnz9/HhqNps5tx44dxnJ1Pb99+3bZ/VM0KPz111+RlZWFF198EdHR0ejSpQuuXLmiZJNEREREN0kCKe4UvKdw4MCBeP/995GVlYVdu3YhJycHjz32WL3l/f39UVhYaLKlpqbC1dUVw4YNMym7YcMGk3IjRoyQ3T9F7yn09PRE69atsXbtWvj5+SE3Nxdz5sxRskkiIiKimySBewoVDAoTExONPwcGBmLOnDkYMWIEKisrYW9fO2ubVquFr6+vyb49e/bg8ccfh6urq8n+Vq1a1Sorl6IjhXZ2dti+fTtOnjyJrl27IjExEUuWLFGySSIiIqKbDAaxDai1Ekp5eblZu3b58mVs3boVffv2rTMgrMvJkyeRmZmJ+Pj4Ws9NnjwZ3t7eCA8Px/r16yEJBLeyRgqjoqLQs2dPLF++vM7nO3TogGnTpmHatGkAbl7j3rNnD77//nuTciIdnbp7H1q6aRtdPtzxhuw2AOBCdd33OjakEmJ5J0sMjc/lXKNasC2DJD/+F2lLq2LSSDuN2H0fIn0UfV/32Ms/huVSlew6lwUXW/3V4Ci7zv8q2gi1dUOSf76XCvQPAOw18nMLd7C/JLtOT8ersusAgL3AZ8uO+W2bFXs0/u9VDRc7B6G2KiX557tIHQAwyFgIWl9igH9noWbM5y5GCv39/U12z5s3DykpKXfdpaSkJKxatQplZWXo06cP9u3b1+i669atQ5cuXdC3b1+T/fPnz8egQYPg4uKCAwcO4JlnnsG1a9cwZcoUWX1j7mMiIiKi2+Tl5ZmshpKcnFxnuTlz5tQ7GaRmO3funLH8rFmz8M033+DAgQPQarWIjY1t1GDZ9evXsW3btjpHCefOnYt+/fqhV69eSEpKwuzZs4WuzDLNHREREVklyWCAJPOqUs3s48augDJjxgzExcU1WCYoKMj4s7e3N7y9vXHPPfegS5cu8Pf3x/HjxxEZGdnga+zcuRNlZWWIjY29Y58iIiKwYMEClJeXw9Gx8VdcZI8UVlVV4dlnn4WHhwe8vb0xd+7cRl8OnjdvHvz8/PDtt9/KbZaIiIhIHhUymvj4+KBz584Nbg4Odd8aUJPdrTH3K65btw6PPPIIfHx87lg2MzMTnp6esgJCQGCkcNOmTYiPj8eJEyfw9ddfY+LEiQgICEBCQkK9dSRJwpQpU7Bv3z589tlnCAkJkdssERERkTwGCdBYxuzjjIwMfPXVV+jfvz88PT2Rk5ODuXPnIjg42DhKmJ+fj+joaGzevBnh4eHGutnZ2fj000/x0Ucf1XrdvXv34sKFC+jTpw+cnJyQlpaGRYsWYebMmbL7KDso9Pf3x7Jly6DRaBAaGorvvvsOy5YtqzcorKqqwrhx4/DNN9/g888/xx/+8IcGX7+8vNwkYmbuYyIiIhIiSYCMyTG36pifi4sLdu/ejXnz5qG0tBR+fn6IiYnBiy++aBzRq6ysRFZWFsrKykzqrl+/Hu3bt8eQIUNqva69vT1Wr16NxMRESJKEkJAQvP766w0O1tVHdlDYp08faH43Cy4yMhKvvfYaqqvrnsmUmJgIR0dHHD9+HN7e3nd8feY+JiIiInOQDBIkmSOFIiukNEa3bt1w+PDhBst06NChzvYXLVqERYsW1VknJiYGMTExZumj4rOP//SnPyE/Px+ffPJJo8oz9zERERGR+mSPFNbkLq5x/PhxdOrUCVpt3WsyPfLII3j44YfxxBNPQKvV4m9/+1uDr+/o6Cj7xkgiIiKiWiQD5F8+Vi73saWTPVKYm5uL6dOnIysrC++99x5WrlyJqVOnNljn0UcfxZYtW/Dkk09i586dwp0lIiIiaizJIAlttkr2SGFsbCyuX7+O8PBwaLVaTJ06FRMnTrxjvcceewwGgwHjx4+HnZ0dRo4c2aj2aq6tl12TF7nrK8Qi/ZJq+fWqBLOMXBPIQmEQzmgiv461ZjSxUzGjiV4go0mFwP9SRc4lACgVqFdWKZYJoVySfyyuG+RnhQCAKoGMJqUt5NcpEfyeEcloomFGk2ZF5HdcZSd2PlUKfGeI1AHkZTQp+e3vtlL36DVGlVQue+SvCpUK9cbyaaSm/G01wv/93//VSjVDREREzUNeXh7at2+vaps3btxAx44dUVRUJFTf19cXP/30E5ycnMzcM8tm8UGhwWBAQUEB3NzcTP6nrNfr4e/vj7y8vEatOG7NeCxu4bG4hcfiFh6LW3gsbuGxuEWJYyFJEkpKStCuXTvY2amfVffGjRuoqKgQquvg4GBzASHQDNLc2dnZNfg/jMamobEFPBa38FjcwmNxC4/FLTwWt/BY3GLuY+Hh4WG215LLycnJJgO7u6F+6E5EREREFodBIRERERE136DQ0dER8+bN45qG4LH4PR6LW3gsbuGxuIXH4hYei1t4LAhoBhNNiIiIiEh5zXakkIiIiIjMh0EhERERETEoJCIiIiIGhURERESEZhwUrl69Gh06dICTkxMiIiJw4sSJpu6S6lJSUqDRaEy2zp07N3W3VPHpp5/i4YcfRrt27aDRaPDvf//b5HlJkvDSSy/Bz88Pzs7OGDx4MH788cem6azC7nQs4uLiap0nMTExTdNZhel0OjzwwANwc3NDmzZtMGLECGRlZZmUuXHjBiZPnozWrVvD1dUVo0aNwoULF5qox8ppzLGIioqqdW5MmjSpiXqsnDVr1qB79+7GhZkjIyPx8ccfG5+3lXMCuPOxsJVzgurWLIPCf/3rX5g+fTrmzZuHU6dOoUePHhg6dCguXrzY1F1T3b333ovCwkLj9vnnnzd1l1RRWlqKHj16YPXq1XU+v3jxYrzxxht46623kJGRgZYtW2Lo0KG4ceOGyj1V3p2OBQDExMSYnCfvvfeeij1Uz9GjRzF58mQcP34caWlpqKysxJAhQ1BaWmosk5iYiL1792LHjh04evQoCgoKMHLkyCbstTIacywAICEhweTcWLx4cRP1WDnt27fHK6+8gpMnT+Lrr7/GoEGD8Je//AVnzpwBYDvnBHDnYwHYxjlB9ZCaofDwcGny5MnGx9XV1VK7du0knU7XhL1S37x586QePXo0dTeaHABpz549xscGg0Hy9fWVlixZYtx39epVydHRUXrvvfeaoIfquf1YSJIkTZgwQfrLX/7SJP1pahcvXpQASEePHpUk6eZ5YG9vL+3YscNY5uzZsxIA6dixY03VTVXcfiwkSZIefPBBaerUqU3XqSbk6ekp/fOf/7Tpc6JGzbGQJNs+J0iSmt1IYUVFBU6ePInBgwcb99nZ2WHw4ME4duxYE/asafz4449o164dgoKCMHbsWOTm5jZ1l5rcTz/9hKKiIpNzxMPDAxERETZ5jgBAeno62rRpg9DQUDz99NP49ddfm7pLqiguLgYAeHl5AQBOnjyJyspKk3Ojc+fOCAgIsPpz4/ZjUWPr1q3w9vZG165dkZycjLKysqbonmqqq6uxfft2lJaWIjIy0qbPiduPRQ1bOyfolhZN3QG5fvnlF1RXV6Nt27Ym+9u2bYtz5841Ua+aRkREBDZu3IjQ0FAUFhYiNTUVf/zjH3H69Gm4ubk1dfeaTFFREQDUeY7UPGdLYmJiMHLkSHTs2BE5OTl4/vnnMWzYMBw7dgxarbapu6cYg8GAadOmoV+/fujatSuAm+eGg4MDWrVqZVLW2s+Nuo4FADzxxBMIDAxEu3bt8O233yIpKQlZWVnYvXt3E/ZWGd999x0iIyNx48YNuLq6Ys+ePQgLC0NmZqbNnRP1HQvAts4Jqq3ZBYV0y7Bhw4w/d+/eHREREQgMDMT777+P+Pj4JuwZWZK//e1vxp+7deuG7t27Izg4GOnp6YiOjm7Cnilr8uTJOH36tM3cZ9uQ+o7FxIkTjT9369YNfn5+iI6ORk5ODoKDg9XupqJCQ0ORmZmJ4uJi7Ny5ExMmTMDRo0ebultNor5jERYWZlPnBNXW7C4fe3t7Q6vV1poZduHCBfj6+jZRryxDq1atcM899yA7O7upu9Kkas4DniN1CwoKgre3t1WfJ88++yz27duHI0eOoH379sb9vr6+qKiowNWrV03KW/O5Ud+xqEtERAQAWOW54eDggJCQEPTu3Rs6nQ49evTAihUrbPKcqO9Y1MWazwmqrdkFhQ4ODujduzcOHTpk3GcwGHDo0CGTeyJs0bVr15CTkwM/P7+m7kqT6tixI3x9fU3OEb1ej4yMDJs/RwDg//7v//Drr79a5XkiSRKeffZZ7NmzB4cPH0bHjh1Nnu/duzfs7e1Nzo2srCzk5uZa3blxp2NRl8zMTACwynPjdgaDAeXl5TZ1TtSn5ljUxZbOCWqml4+nT5+OCRMm4P7770d4eDiWL1+O0tJSPPnkk03dNVXNnDkTDz/8MAIDA1FQUIB58+ZBq9VizJgxTd01xV27ds3kf64//fQTMjMz4eXlhYCAAEybNg0vv/wyOnXqhI4dO2Lu3Llo164dRowY0XSdVkhDx8LLywupqakYNWoUfH19kZOTg9mzZyMkJARDhw5twl4rY/Lkydi2bRs++OADuLm5Ge8J8/DwgLOzMzw8PBAfH4/p06fDy8sL7u7ueO655xAZGYk+ffo0ce/N607HIicnB9u2bcOf//xntG7dGt9++y0SExMxYMAAdO/evYl7b17JyckYNmwYAgICUFJSgm3btiE9PR2ffPKJTZ0TQMPHwpbOCapHU09/FrVy5UopICBAcnBwkMLDw6Xjx483dZdU99e//lXy8/OTHBwcpD/84Q/SX//6Vyk7O7upu6WKI0eOSABqbRMmTJAk6eayNHPnzpXatm0rOTo6StHR0VJWVlbTdlohDR2LsrIyaciQIZKPj49kb28vBQYGSgkJCVJRUVFTd1sRdR0HANKGDRuMZa5fvy4988wzkqenp+Ti4iI9+uijUmFhYdN1WiF3Oha5ubnSgAEDJC8vL8nR0VEKCQmRZs2aJRUXFzdtxxXw1FNPSYGBgZKDg4Pk4+MjRUdHSwcOHDA+byvnhCQ1fCxs6ZygumkkSZLUDEKJiIiIyPI0u3sKiYiIiMj8GBQSEREREYNCIiIiImJQSERERERgUEhEREREYFBIRERERGBQSERERERgUEhEREREYFBIRERERGBQSERERERgUEhEREREYFBIRERERAD+H+/6B3lSy0T9AAAAAElFTkSuQmCC",
            "text/plain": [
              "<Figure size 800x400 with 2 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        },
        {
          "data": {
            "image/png": "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",
            "text/plain": [
              "<Figure size 800x400 with 2 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        },
        {
          "data": {
            "image/png": "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",
            "text/plain": [
              "<Figure size 800x400 with 2 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        },
        {
          "data": {
            "image/png": "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",
            "text/plain": [
              "<Figure size 800x400 with 2 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        },
        {
          "data": {
            "image/png": "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",
            "text/plain": [
              "<Figure size 800x400 with 2 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        },
        {
          "data": {
            "image/png": "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",
            "text/plain": [
              "<Figure size 800x400 with 2 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        },
        {
          "data": {
            "image/png": "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",
            "text/plain": [
              "<Figure size 800x400 with 2 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        },
        {
          "data": {
            "image/png": "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",
            "text/plain": [
              "<Figure size 800x400 with 2 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        },
        {
          "data": {
            "image/png": "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",
            "text/plain": [
              "<Figure size 800x400 with 2 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        },
        {
          "data": {
            "text/plain": [
              "[<matplotlib.lines.Line2D at 0x7f630a6edd50>]"
            ]
          },
          "execution_count": 40,
          "metadata": {},
          "output_type": "execute_result"
        },
        {
          "data": {
            "image/png": "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",
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "# define training loop\n",
        "\n",
        "from tqdm.auto import tqdm\n",
        "\n",
        "# device check\n",
        "device = 'cuda' if torch.cuda.is_available() else 'cpu'\n",
        "\n",
        "model = RNNModel()\n",
        "model.to(device)  # 7.11 수정사항\n",
        "\n",
        "# epoch\n",
        "num_epoch = 500\n",
        "\n",
        "# CTCloss_fn , optimizer\n",
        "ctc_loss = nn.CTCLoss()\n",
        "optimizer = torch.optim.Adam(model.parameters(), lr = 0.001)\n",
        "\n",
        "# input_length\n",
        "input_lengths = torch.tensor(37)\n",
        "\n",
        "# target, target_length\n",
        "target =torch.tensor([[char_set['s'], char_set['e'], char_set['t']]])\n",
        "target_lengths = torch.tensor([[3]])\n",
        "\n",
        "# batch data\n",
        "y, sr = torchaudio.load(\"set.wav\")\n",
        "batch = [[y, target]]\n",
        "\n",
        "# loss tracking\n",
        "losses = []\n",
        "\n",
        "#train loop\n",
        "pbar = tqdm(range(num_epoch))\n",
        "for e in pbar:\n",
        "  for sample in batch:\n",
        "    x, y = sample\n",
        "    x = x.to(device)\n",
        "    y = y.to(device)\n",
        "\n",
        "    pred = model(x)  # [1, 37, 27]\n",
        "\n",
        "    #loss\n",
        "    loss = ctc_loss(pred.squeeze(0), y, input_lengths, target_lengths)      # 7.11 수정사항\n",
        "\n",
        "    #loss tracking\n",
        "    pbar.set_postfix({'loss': loss.item()})\n",
        "    losses.append(loss.item())\n",
        "\n",
        "    optimizer.zero_grad()\n",
        "    loss.backward()\n",
        "    optimizer.step()\n",
        "    if e % 50 ==0:\n",
        "      plot_ctc(pred.cpu(), e)\n",
        "\n",
        "plt.plot(losses)\n",
        "\n",
        "\n",
        "\n"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 41,
      "metadata": {
        "id": "R4MBHdlFz_fK"
      },
      "outputs": [],
      "source": [
        "# show output by plot_ctc\n",
        "\n",
        "# 7.11 수정사항\n",
        "y, sr = torchaudio.load(\"set.wav\")\n",
        "out = model(y.to(device))"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "Y46-5Aww37FT"
      },
      "source": [
        "visualization"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 42,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 613
        },
        "id": "v2QZnuSZ1Xfq",
        "outputId": "ef2a43c6-cff0-4f53-e77f-157a513aeac6"
      },
      "outputs": [
        {
          "data": {
            "image/png": "iVBORw0KGgoAAAANSUhEUgAAA0YAAAJUCAYAAAAxTTY8AAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjcuMSwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/bCgiHAAAACXBIWXMAAA9hAAAPYQGoP6dpAACX7ElEQVR4nOzdd4AU5f0/8PfM9nZ1D+6AO3pRKSoKokZRLCTfmNjyzTcalYRgNEZF7CRqNIXEEjTGGDVqiC3VEs0vGhtYAqggYgGUg+OAo1y/3b2tM8/vj93ZveP63c7O3u77lay3ZXbnc1uO/czneT6PJIQQICIiIiIiymOy0QEQEREREREZjYkRERERERHlPSZGRERERESU95gYERERERFR3mNiREREREREeY+JERERERER5T0mRkRERERElPfMRgeQbqqqoq6uDh6PB5IkGR0OEREREREZRAgBn8+HUaNGQZZ7rwnlXGJUV1eHyspKo8MgIiIiIqIssXv3bowZM6bXbXIuMfJ4PADiv3xBQYHB0RARERERkVHa2tpQWVmZzBF6k3OJkTZ8rqCggIkRERERERH1a4oNmy8QEREREVHeY2JERERERER5j4kRERERERHlvZybY0RERERElMtUVUUkEjE6jKxhtVr7bMXdH0yMiIiIiIiGiUgkgp07d0JVVaNDyRqyLGP8+PGwWq1DehwmRkREREREw4AQAvv27YPJZEJlZWVaqiTDnaqqqKurw759+1BVVdWv7nM9YWJERERERDQMxGIxtLe3Y9SoUXA6nUaHkzXKyspQV1eHWCwGi8Uy6MdhmklERERENAwoigIAQx4ylmu050N7fgaLiRERERER0TAylOFiuShdzwcTIyIiIiIiynu6JUY///nPcfzxx8PpdKKoqKhf91m0aBEkSep0WrhwoV4hEhERERERAdAxMYpEIvjGN76Byy+/fED3W7hwIfbt25c8PfPMMzpFSEREREREeps/fz6WLl3a4+3jxo3Dvffem7wsSRKef/553eM6lG5d6W6//XYAwB//+McB3c9ms6G8vLzf24fDYYTD4eTltra2Ae2PiIiIiIgo69p1r169GiNGjEBxcTFOPfVU/OxnP0NpaWmP269YsSKZhBERERENd0IItEcUBKMKhAAEBBL/T11Ono9vLwQ6XNfN7Yb8JunX3yn2/Z2Mn64WBul4fnuLRft1YpEwYoqKSEyBFOumA1uWvdAWswx5GDWKyKrEaOHChTj33HMxfvx4VFdXY/ny5fjyl7+MtWvXwmQydXufm2++GcuWLUtebmtrQ2VlZaZCJiIiIupTeySGRn8EjYEIGv3hxM8ImgIdz6duC8dUo0OmLDTaY8JPThkBtSEAyRyFEMKw94rNLPeZgE4Z6YHdEv8OH4vF8MMf/hBPPPEELBYLLr/8ctxxxx39SmJvu+02PPzww3jllVcwc+bMtMTfnQElRjfddBN+9atf9brNli1bMG3atEEF83//93/J8zNmzMDMmTMxceJErF69GgsWLOj2PjabDTabbVD7IyIiIkqH5kAEz364FwfaQokEKJxIdOLnQ9HBf3mVpHg1QZKkZFUhfl38hkOv67g9kLhdSl91JBVXZisBQvSvHNLvokk/NhRI//PWHz2F5rSaIEuAnGhSFo6p+N+H1mU0Ns0/Lp8Hu6X/7QpWrVqFxYsX47333sMHH3yASy+9FFVVVViyZEmP9xFC4KqrrsJLL72Et99+G5MmTUpH6D0aUGJ07bXXYtGiRb1uM2HChKHE0+WxvF4vtm/f3mNiRERERGSklvYIvvHQWmw/6O91O5tZRqnLilK3DSUuK0rd1k6XvW4rSly2xHVWOK1ZNbCHskAoFMLOnTsxfqQHdrsd7ZGYYbEcVlEwoPdoZWUlVq5cCUmSMHXqVHz88cdYuXJlj4lRLBbDt7/9bXz44Yd45513MHr06HSF3qMBfeLKyspQVlamVyxd7NmzB42NjaioqMjYPomIiIj6KxRV8L1VH2D7QT9GFthw1sxRKHFb4XV1TH5siUTHxIU5Ka0cFhM+u+NMw/Y9EMcdd1yn9/+8efNwzz33QFG6mSsF4JprroHNZsO6devg9XqHFGt/6XYoora2Fk1NTaitrYWiKNi0aRMAYNKkSXC73QCAadOmYcWKFTjnnHPg9/tx++2347zzzkN5eTmqq6txww03YNKkSTjzTGNecCIiIqKeKKrAVc98iA92NcNjN+NP352LqeUeo8OiPCJJUs5WFk8//XQ888wzeOWVV3DhhRdmZJ+6PZO33norVq1albx81FFHAQDefPNNzJ8/HwCwbds2tLa2AgBMJhM2b96MVatWoaWlBaNGjcIZZ5yBn/70p5xDRERERFlFCIHb/vkJ/vPZAVhNMh65+BgmRUS9WL9+fafL69atw+TJk3tssPa1r30NZ511Fi644AKYTKZOvQj0olti9Mc//rHPNYw6TqJzOBx45ZVX9AqHiIiIKG1+t7oaT66rhSQB9/7fkThuQs9LixBRfDTZsmXL8P3vfx8bN27E/fffj3vuuafX+5xzzjl44okncNFFF8FsNuP888/XNcbcrL0RERER6eRvH+zGXa9sAwDc9tXD8ZUZnAtN1JeLL74YwWAQc+bMgclkwtVXX41LL720z/udf/75UFUVF110EWRZxrnnnqtbjJLob+/DYaKtrQ2FhYVobW1FQUGB0eEQERFRDnlz20F8b9UHUFSBy06eiJu+PLglSogGI9mVbvx42O12o8PJGr09LwPJDfrffJyIiIgoj320uwU/eHIjFFXg3KNG48aFU40OiYjSiIkRERERUR9qGgL47h/fRzCq4EuTvfjV+TPZepsoxzAxIiIiIupFvS+Mix97D42BCGaMLsSD354Ni4lfoYhyDT/VRERERD0IhGP47h/fR21TO6pKnHhs0bFw29i7iigXMTEiIiIi6kZUUXH5Uxvx8d5WlLisWPXdOSjzcG1FolzFxIiIiIjoEEII3PiPzXjr83o4LCY8tuhYjPe6jA6LiHTExIiIiIjoEHe+sg3PbtwLkyzhdxcejSMri4wOiYh0xsSIiIiIqINV/63Bg6urAQArzp2BU6aNMDgiIsoEJkZERERECf/v4334yYufAgCuPX0K/veYSoMjIqJMYWJEREREBGD9jkYs/csmCAFcOLcKPzx1ktEhEVEGMTEiIiKivPf5AR+W/OkDRGIqzjh8JO74+nQu4EqUZ5gYERERUV6rawniksfeQ1sohmPGFuM33zoKJplJEVE6vfzyyzjxxBNRVFSE0tJSfPWrX0V1dbXRYXXCFcqIiIgob7W2R7Ho8fewrzWESSPc+MMlx8BuMRkdFlH/CAFE243Zt8UJDKCqGggEsGzZMsycORN+vx+33norzjnnHGzatAmynB21GiZGRERElJdCUQVLnvgAnx/wY2SBDau+OwdFTqvRYRH1X7Qd+MUoY/a9vA6w9n9tr/POO6/T5cceewxlZWX47LPPMH369HRHNyhMjIiIiCgvCCFQ7w+jpqEdNQ0BvPTxPry3swkemxmrvjsHo4scRodIlLO++OIL3HrrrVi/fj0aGhqgqioAoLa2lokRERERUboJIdAYiGBXYwA7EwnQzsYAahoC2NXYDn841ml7q0nGwxcfg2nlBQZFTDQEFme8cmPUvgfgrLPOwtixY/HII49g1KhRUFUV06dPRyQS0SnAgWNiRERERMNOcyCSTHjiyU88CappDMAXivV4P0kCRhc5MN7rwrhSF84+ahRmjy3JYOREaSRJAxrOZpTGxkZs27YNjzzyCL70pS8BAN555x2Do+qKiVGGRGIqglEFwYiCYFRBeySGUFRBeyR+0s5rtwcT18fPx9AeURCIKmiHGv8QSBIgAwLxn5AkCCBxHYBENx0hSRCJ+WxCSmwnAZAAVQIkJLYHup1AJ7q/OrW/fujh7n1v08vtUuKartf3tH38JEsdziceJf70SfGfkCBrT6m2ffK2+PWyBJxeWYqzDivvJurhQVUFApEY/OEYAuEY2gIhtDS3wtfaBr/Pj3afD0G/D6H2AISipO4oBIT2ygvtp/YeEh3eTImtOmxzyJnOl4VIvBqdb+/0Lks8ltR5gy76Pw20py27vrNFNxe6e/+LTr+/BMgyBCQIWQYgxz+Pkpw8Qbvc8TZo26Quw2SCzVMAV3EpCjweFDjMKLBb4LGbUeCwoMBuQUHivM0sD6sWw0II1LWG8PGeFny0pxW1Te2pJ1cCVCEgVAFVAKoAlMRlRQgIEf+pqvHnPn5eQFEF1MRtvb1eneLocF579kSP79uh6/4RpV5vHdDjid5vF0L0env8j38vf79F5xu7/L3u4bMZf1ip878tQgCS1PNnt8OfBglATBU40BZCWx/Jz6hCB8Z5nRhX6sJ4rwtjS10Y73WissQJm5nNFYgyqbi4GKWlpXj44YdRUVGB2tpa3HTTTUaH1QUTIx394e0duO/1LxCMKIip/f+HTpglCJcFqssM4TZDuMwQJWYIhzWZ8FA6vqgM/jH+ursOVzT4ccuXsmvxv/erD+KN9z5F0OdHJOBHOBiAEmyHEgpAhIOQwkHI0SDMsRBsahg2NQKbGoZFdP8Fg18dsk+LZMEeswsBkwv+5E938nLE6oHF7YHbYUsmS52TKDNKXDaMK3VinNeF8gI75Az+XWnwh/HxnlZ8tKcFm/e0YvOeFjT4s2cYBQ0vFYV2jCt1JROgcd54ElRV4mRnOaIsIssy/vznP+Oqq67C9OnTMXXqVPzmN7/B/PnzjQ6tEyZGOlKF6FLON8kSnBYT7FYTLG4L4DZDdZoRdZgQtMkIWCSETT1/SZEQ/7JqAiAnKhkmxKsf8Z+HXh+/TU6eT50k0fGgXupoXee9C0idtsIh57Wj+BJEt3mGGNCR2u6uEz387P686Fy4SFzf+RQ/+nzo9Woi1k4nod0Wv58A0A6BsEXGA4FWON+pxrUnTuzjN8yM5zfuxtp7b8WIcD08g7i/ABAz26FaHIDVDtickG0OyKbEnwntMHDyTSB1uj5Zw0u+kVLvqM5HkFPvok41oG4eV3QpWXbYtps3Tr9T3W7vK3o8Yj2QCkzHo+CSUAGhQhICSJyPv/mUQ67TtlHiv7Sauh5ChVBiEO1tQDQMq4iiJNqCkmhLjzGokNBuciaTJb/Jhf0dkqkGaylCpvgkc7tFxtiSzl8stSPsIwtsQ6o+tYWi+GRPKz5KJECb97Rib0uwy3ZmWcKEMheqDwbiVZ4emGQJZu1kkmGSJVhM8csmWU5cL3XYTu709pGkVMWiO91ee8hbbugVSU36q1Cd995zRSd5XZfK/aFbiU5/B4F4pUm7Lv63VqsOJ85rf1sTl5Go9CU2SVaqhOju8VP3h0ht3/GyKgTqWoJQBVDktODmrxyGs2ZWDKsqKVG+Ou200/DZZ591uu7Q6rXRmBjp6PzZlfjS1DIcVFXUxWKojUSxMxTG9vYwqttDCPZSRaqwWTDJacNkpz3102VDudXCfwAM1hKJ4cS3P0WDzYS7W5phf3cHrjhhgqEx/fm9Wjy56i84JVwPVTJB9pRAtjthdjhhdbphc7ngcLvhdHvgLvCgoLAAhUWF8BR4YHe7YXO5YXM4IWXJOgLUvUiwHb6mRvg7npq1803wNTWivaUJshBwKwG4lQBGdlOMUUwWvD7je6j2SQhFVWw74MO2A74u29ktcjxZSh6JTyVPIzydk6ZgRMFn+1rx0e5UErSjIdDlMSUJmOB1YdaYIswcU4iZlUU4vKIAd768DZ8f8OOoqiLced5M2Mwm2CwybGYZdosJVpOc0coWZa9P61px3d82Y8u+Nlz1zIf4f5v34adnT0eZx2Z0aEQ0zDEx0tGjBxvx65oDPR4XtEgSxjtsmOxKJUCTEj/dHP+ctYqsZrx6wmE4+b+foc1lxs/qG2D9r4Qlx483JJ7H392JX7ywCRc3vQcAOPXi72L2V75uSCykL6vDidLRTpSOruxxG1VV0N7SAn9TI3zNhyRRTY3Yt/1zIBTEA6d7MfaoY7G3OYidjQHsagigprEdOxOT1/c0BxGKqti634et+7smTU6rCWNLXRhT7MDupnZ8cdAPpZuDPWOKHakkaEwRpo8ugMdu6bTNwbYQnlq/CwCw7PQpmDxyMDVPyhdHjCrEC1ecgN+t3o7fvrEdL3+6H+t2NuL2rx2Br80axYOHRDRoTIx0NMJqgQBQZDYlKz6TnHZMTiRAVXYrzDwCOixV2K3419ypOH39NoQKrbht7wFY1kpYNG9cRuN44M3tuOuVbZjXshFONYjiitE48oz/yWgMlF1k2QR3SSncJaXorj3I//vtPdjy9ptoqK3BpGPmxofOeV3A1M7bRRUVe5qD8W5fiWRJ+7m3OYj2iIIt+9qwZV9b8j5etw2zEgnQzMpCzBxdiFJ330fxf79mB8IxFUdXFeHESd4hPgOUD6xmGUtPm4IzDi/HdX/7CJ/ta8PVf96Ef23eh5+dMx0jPHajQySiYYiJkY7OHlGEr5QVwmsx8whWDprscuAfsyfh6xu2I+a1Y3l1HUwScNFx43TftxAC9/znc/z2ze3wRNtwjP9jAMDJF30XJjM/1tSzsqpx2AKgvram1+0sJhnjExPZTznktkhMxe7meGvk3U3tKC90YFZlIcoL7AP+W9exWrT0tCn8W0kDcvioArzwwxPw4Opq3P/GF/jPZwfwXk0Tq0dENCj8BqWjQguf3lw3u9CNx2eOx8Wbd0Id7cRNn+2GWZbxrTlVuu1TCIGfvrQFj727EwDwPftniCkxVE2fhQlHz9Ftv5QbvFXjAAANfSRGvbGaZUwsc2NimXvI8Tz0Vqpa9KXJrBbRwFlMMq5aMBmnHz4S1/3tI3xaF68evbR5H35+9nSMKGD1iIj6hzOtiYbodG8hVk6Lz/lQxntw/YYd+PN7tbrsS1EFlj/3cTIpuuVYB2LbPwQkCSdftJhHR6lP3qqxAIDmfXsRM3i18YO+EJ5cx2oRpcdhFQV4/ooTcO3pU2AxSXj1swM4feVbeP7DvVnX+YqIshMTI6I0+L9RpVg+Pj6jIzatCNf/dzv++v7utO4jpqi49q+b8Mx7uyFLwJ3nTYd940sAgBmnnI4R44ztjEfDg7u4FHa3B0JV0bg3ve/RgXpoDatFlF4Wk4wrF0zGi1eeiOmjC9AajGLpXzZhyZ824GBbyOjwiCjLMTEiSpMrx47E4tHxL3fRGcW4bvU2/PWD9HzxjMRU/PDpD/H8pjqYZQn3/d9RmBHeif3bP4fF7sAJ37woLfuh3CdJUrJqNJThdEPVsVp0NatFlGbTygvw3A9OwHVnxKtHr22JV4+e+3APq0dE1CMmRkRpIkkSfjp5NL5WVgjIEiJHluD6/2zB3zfsGdLjhqIKLn3iA7z86X5YTTIe/PZsLDysFG8/vQoAMPfsb8BVVJyOX4HyhLdyHACgYfcuw2LQqkVHVRXhJFaLSAcWk4wfnjoZL135JcwYXYjWYBTX/OUjLPnTBzjA6hERdYOJEVEayZKE+w8fixOL3IBZRvjoUlz7r0/w7MbBJUeBcAzfefx9rN5WD7tFxqOLjsHph4/Ehpeeh6+xHh5vGY7+H65ZRANTlmjAUL9rpyH759wiyqSp5R4894Pjcf2ZU2E1yXhty0Gc/us1+McGVo+IMmX+/PlYunSp0WH0iYkRUZrZZBmPzxiPw112wGZCZLYXy174GM99OLDkqDUYxUWPrsfaHY1w28z403fn4kuTy+BvbsJ7z/8NAPClCxbBYuVq7zQwyc50BlWMHma1iDLMbJJxxSmT8OKVJ2LmmEK0hWK49m8fYfEqVo+IKIWJEZEOPGYTnpk1EZV2K4TTjPBRpVj2j814YdPeft2/KRDBBY+sw8baFhQ6LHjye3MxZ3wJAODdvzyJaDiEislTMe34k/T8NShHeSvj7eQDzU1ob2vN6L4P+kJ4kusWkUGmlnvw7OXH44aF8erRG1sP4uo/f2h0WESUJZgYEelkpM2CP8+agBKLCaLQivCsEiz96yb886O6Xu93sC2Ebz60Fp/WtcHrtuLPlx6HIyuL4rfV7MAnq18FAMy/+Hv8UkmDYnU4UThiJACgoTazVaOH1+xAKMpqERnHbJLxg/mT8NSSuQCAzXsye3CAKF/FYjH88Ic/RGFhIbxeL2655ZasG87KFUiJdDTRacdTMyfi3A+3I+i1I3xEMa7+84eQAJw1a1SX7fe2BHHhI+tQ09iOkQU2PPW94zBpRHwRTSEE1jzxB0AITD3+JIyacliGfxvKJd6q8Wg9eAANu2tQNX1mRvbZsVp09YLJTOzJUIdXFAAA2iMKAuEYXDZ+JaLhRwiBYCxoyL4dZseA/o6vWrUKixcvxnvvvYcPPvgAl156KaqqqrBkyRIdoxwY/hUg0tlRBU48On0cLv54B2KjnIhEFCz9yybIkoT/mVmR3K6mIYAL/7Aee1uCGFPswNPfOw5Vpc7k7dUb3kPtJ5thslhw0gWLDPhNKJeUVY1F9QfrMtqyW6sWHVlZhJOnlGVsv0TdcdnMcFhMCEYVNPjDTIxoWArGgpj79FxD9r3+gvVwWpx9b5hQWVmJlStXQpIkTJ06FR9//DFWrlyZVYkRh9IRZcCppQVYOS0+r0MZ50G40oWr/vwh/v3xPgDAFwd8+N+H1mJvSxATvC787bJ5nZIiJRbFW08+CgCY/T9no6BsROZ/CcopWgOG+gwlRvW+cIe5RawWUXbweqwAgAZ/2OBIiHLfcccd1+lv/7x58/DFF19AURQDo+qMh0eIMuQb5SU4GInhp9V1iE0rhBRRcOUzH+LaxnY88vYONAUimDrSgye/Nxdlns6d5j76z/9D8746OAuLMPfsbxj0G1Au0RKjxt21EKoKSdb3ONnDb1WzWkRZp8xtw+6mIOp9EaNDIRoUh9mB9ResN2zfuYaJEVEG/aCyDAfCUTy8px6xGcVApBG/enkrAGDmmEKs+s4cFLusne4T9Puw9u/PAABO+Oa3YXX0v2xN1JPi8lEwWSyIhkNoPXgAReUVfd9pkOp9YTyxjtUiyj5ed/wgFCtGNFxJkjSg4WxGWr++cwK3bt06TJ48GSaTyaCIuuJQOqIMkiQJP5k0CueMKIKQJIijS6EWWHDM2GI8+b25XZIiAFj392cQCvjhrRqH6aecbkDUlItkkwmlo+PDO+t31+i6L61aNIvVIsoy3kR1vt7HxIhIb7W1tVi2bBm2bduGZ555Bvfffz+uvvpqo8PqhBUjogyTJQn3HVaFxmgMbzX7UXRiOVYcPRkFdkuXbZvq9mDTf/4FAJh/0fcgy9lzVIWGP2/VWBysqUbDrhpMPnaeLvtgtYiyGStGRJlz8cUXIxgMYs6cOTCZTLj66qtx6aWXGh1WJ0yMiAxglWU8Nn08zv1wOzb7g3i0rhG/nDKmy3ZvPfU4VEXBhKOPxdiZR2Y+UMppZYl5Rnp2pnvk7R3JatF8Vosoy2jzOZkYEelr9erVyfMPPvigcYH0gUPpiAziNpvw7VGlAIC6UNeJv7WffITqD9ZDNplw0re/m+nwKA8kO9Pt1meR1wZ/GH9aWwOA1SLKTmXu+PBlDqUjIoCJEZGhSq3xom1jNNbpelVVsPpPfwAAzDr9KygdXZnx2Cj3aYlRy746RCPp/2L48FusFlF2Sw2lY1c6ImJiRGSoUks8MWo6JDH6dPXrqN+1EzaXC/PO/5YRoVEecBUVw+EpgBAqmvbsTutjd6oWLWC1iLITh9IRUUdMjIgMVGLpWjGKBNvxzp//BACYd9634PAUGBIb5T5JknRb6DVZLRpTiPlTWS2i7KRVjNojCgLhWB9bE1GuY2JEZCCtYtQWUxFRVQDAey/8A+2tLSgqr8CRZ/6PkeFRHvBWjQUANNTuTNtjNvjDeGKt1oluCqtFlLVcNjMclni3T1aNiIiJEZGBiiym5IewOaqgreEgNrz0HADgpG9/FyZz1xbeROlUVjUeAFBfm74GDI+8tQPBqMJqEQ0LHE5HRBomRkQGMkkSihJHKxujMbz99CrEohFUHj4Dk445zuDoKB+kKkY1aXm8+NwiVoto+PCyMx0RJTAxIjKYNpzu8507sfXdNYAk4eSLv8cvlJQR3jFjAUlCe2sL2ltbhvx4WrVoJqtFNExo84zq2ZmOKO8xMSIymJYYvbv6dQDAEScvwMjxE40MifKIxW5H0chyAENvwNC5WsROdDQ8JIfSsWJElPeYGBEZTFvLqK65BRabHSd+8yKDI6J8460cBwBoGOI8o47VolOmjkhDZET6S1WMmBgR5TsmRkQGK5bjH8N2hwvHfv08uEtKDY6I8o3Wsrthd82gH6OR1SIaprysGBFRAhMjIoNFdm0HAMSKSnHMV88xOBrKR2WJBgz1u2oG/RgPv81qEQ1PZW52pSOiOCZGRAYKtDSj5aMPAADOyYfBYrMbHBHlI2+iZXfjnlqoqjLg+zf6w/jTf+PVoqsXsFpEw0uZJ9GVjokRka5UVcWdd96JSZMmwWazoaqqCj//+c+NDqsTs9EBEOWzLW+/CYuvFQAQLSg2OBrKV0Xl5TBbbYhFwmg9sB/FFaMHdH+tWjRjdCFOncZqEQ0v2hyjBh+70tHwI4SACAYN2bfkcAzoQNjNN9+MRx55BCtXrsSJJ56Iffv2YevWrTpGOHBMjIgM5G9ugjMUAAA0xQZ+pJ4oHWTZhNIxlTiwYzvqa2sGlBh1rBZxbhENR1piFIwqCIRjcNn41YiGDxEMYtvRsw3Z99SNGyA5nf3a1ufz4b777sNvf/tbXHLJJQCAiRMn4sQTT9QzxAHjUDoiA4X8PjiC8cSoMRozOBrKZ8kGDANs2f3I2ztZLaJhzWUzw2mNL7TNRV6J9LFlyxaEw2EsWLDA6FB6xcMiRAYK+trgDLUDAJqiMahCQOYRdzJAWTIx6n/L7qZABH9aWwOA1SIa3rxuG2qb2tHgD2Oc12V0OET9JjkcmLpxg2H77i/HALY1EhMjIgMFO1SMFAG0xRQUWfixpMzT1jKqr93Z7/u8/UU92iMKpo70sFpEw1qZJ5UYEQ0nkiT1ezibkSZPngyHw4HXX38d3/ve94wOp0f8BkZkoJDPB7OqwCUBAREfTsfEiIxQNnYcAKDlwH5EQyFY7H13SNSGHU0p97BaRMOa1611pmMDBiI92O123HjjjbjhhhtgtVpxwgknoL6+Hp9++ikWL15sdHhJ/AZGZKCg3wcAKDbJCMRUNEZimJj9B34oBzkLi+AsLEJ7awsa99SifNKUPu+jtTfWvlQSDVdaAwbOMSLSzy233AKz2Yxbb70VdXV1qKiowGWXXWZ0WJ0wMSIyiFBVhP1+AECp1Yw9sQiaouxMR8bxVo5FbWsL6mtr+pUYNSaOrmtfKomGKy8XeSXSnSzL+NGPfoQf/ehHRofSI3alIzJIqD0AIVQAgNceP+LOznRkpIF2ptO+RJYxMaJhrsyjrWXExIgon+mWGNXU1GDx4sUYP348HA4HJk6ciNtuuw2RSO/jd0OhEK644gqUlpbC7XbjvPPOw4EDB/QKk8gwwbY2AIDV4UCp1QKAiREZK9mZbndNv7bXEiOvh0PpaHhLDqVjxYgor+mWGG3duhWqquKhhx7Cp59+ipUrV+L3v/89li9f3uv9rrnmGrz44ov429/+hjVr1qCurg7nnnuuXmESGSbkjydGdncBShMNF5gYkZG0ilH9rhoIIfrcvsEXP9BV6mLFiIa3skRyz6F0RPlNtzlGCxcuxMKFC5OXJ0yYgG3btuHBBx/E3Xff3e19Wltb8eijj+Lpp5/GqaeeCgB4/PHHcdhhh2HdunU47rjjutwnHA4jHE79IWtLHIUnynZBX7zxgsPTITGKMDEi45SOqQQkCUFfG9pbW+AqKu5xWyEEGgNaxYiJEQ1vZe54F8YGXwRCCHZZJMpTGZ1j1NraipKSkh5v37BhA6LRKE477bTkddOmTUNVVRXWrl3b7X1WrFiBwsLC5KmysjLtcRPpIeTXEiMPSqysGJHxLDY7istHAQDq+5hn1BaMIarEq0qlLg6lo+FNGw4ajCoIRNgEhyhfZSwx2r59O+6//358//vf73Gb/fv3w2q1oqioqNP1I0eOxP79+7u9z80334zW1tbkaffu3ekMm0g3QZ82lM4Db6Ji1MTEiAzmrRoLoO8GDNpcDI/dDLvFpHdYRLpyWs1wWuPvYzZgIMpfA06Mbrrppvgqu72ctm7d2uk+e/fuxcKFC/GNb3wDS5YsSVvwAGCz2VBQUNDpRDQcpCpGnGNE2cNbOQ5A34lRsvECO9JRjkh2puM8I6K8NeA5Rtdeey0WLVrU6zYTJkxInq+rq8Mpp5yC448/Hg8//HCv9ysvL0ckEkFLS0unqtGBAwdQXl4+0FCJslrHilFJco4Rh3CQscrGjgPQ91C61BpGHEZHucHrtmFXYzsXeSXKYwNOjMrKylBWVtavbffu3YtTTjkFs2fPxuOPPw5Z7r1ANXv2bFgsFrz++us477zzAADbtm1DbW0t5s2bN9BQibKalhg5PB6UJuYYBVUV7YoKp4lLjJExtM50TXt2Q1UUyKbuh8mxYkS5RkvyWTEiyl+6ffvau3cv5s+fj6qqKtx9992or6/H/v37O80V2rt3L6ZNm4b33nsPAFBYWIjFixdj2bJlePPNN7FhwwZ85zvfwbx587rtSEc0nIUSXensngJ4TDIsiS5InGdERioaUQ6zzYZYNILm/XU9bsfEiHKNNpSu3t/7eotElD7z58/H0qVLjQ4jSbd23a+++iq2b9+O7du3Y8yYMZ1u09bHiEaj2LZtG9rb25O3rVy5ErIs47zzzkM4HMaZZ56J3/3ud3qFSWSYYIc5RpIkocRiwoFIDI3RGMbYOTyJjCHJMrxjqrC/+gs01O5C6ejuO31qiVEph9JRjkgu8sqhdER5S7eK0aJFiyCE6PakGTduHIQQmD9/fvI6u92OBx54AE1NTQgEAnj22Wc5v4hyUkgbSuf2AECyAUMT1zIig3mrxgMAGnbX9LhNvU+bY8SKEeUG7b3MoXRE+YsTGYgMIIToVDECkJxnxM50ZLSyRMvu+l01PW6TXNyViRHlCHalI9JXIBDAxRdfDLfbjYqKCtxzzz1Gh9SFbkPpiKhnsXAYSjQKALB74hWjErbspiyhNWDorWKkfXks83AoHeUGDqWj4UgIgVhENWTfZqsMKTE/uj+uv/56rFmzBi+88AJGjBiB5cuXY+PGjTjyyCP1C3KAmBgRGSDojw+jM5nNsNjsADoMpYuyZTcZS0uMWg/sRyQUhNXu6LJNQ2IoXamLFSPKDWUdhtIJIQb0hY/IKLGIioevXmPIvi+972RYbP1b4Nvv9+PRRx/Fk08+iQULFgAAVq1a1aUPgdE4lI7IAMG2xBpGicYLQCoxauQcIzKYs6AQrqJiAEBD7a4utwfCMQQTCbzXw8SIcoM3Uf0MRVUEuKYcUVpVV1cjEolg7ty5yetKSkowdepUA6PqihUjIgMk5xclGi8AQAnnGFEW8VaNQ6ClGQ27azBqyrROt2mLu9otMlzW/h0tJMp2TqsZLqsJgYiCel8Ybhu/IlH2M1tlXHrfyYbtO9fk3m9ENAwkO9IlGi8AHYfSMTEi4yXnGXVTMarvsIYRhxtRLvGyAQMNM5IkwWIzGXIayN//iRMnwmKxYP369cnrmpub8fnnn+vxtAwaD4cQGUCrGGmNFwCg1BI/8s6KEWWDsmRiVNPlttQaRhxGR7mlzG3DrsZ2NLABA1Faud1uLF68GNdffz1KS0sxYsQI/OhHP4IsZ1eNhokRkQFCPm0oXapiVMI5RpRFvJWJlt21NV0moic70nFxV8oxyc50rBgRpd1dd90Fv9+Ps846Cx6PB9deey1aW1uNDqsTJkZEBtC60nWsGHkTc4xaYgpiqoBZ5hAlMk7pmCpIkoyQ34dAcxPcJaXJ27Q5RlzDiHKN1oCBFSOi9HO73XjiiSfwxBNPJK+7/vrrDYyoq+yqXxHliVTFKJUYFZvjiZEA0Bxj1YiMZbZaUVwxCkDX4XQNfi7uSrkpVTGKGBwJERmBiRGRAYK+VLtujVmWUGTmPCPKHloDhvoeEqNSDqWjHFPG5gtEeY2JEZEBglrFqMNQOqBDZzquoUFZwFsVn2fUpWLk41A6yk3JihGH0hHlJSZGRAYI+bu26waAUq5lRFmkrGo8AKB+d+eW3Q0BDqWj3KS9p1kxIspPTIyIDKBVjOzuzolRCVt2UxbRhtI17amF0mHemzYxvczDoXSUW0Z0GEonhDA4GiLKNCZGRBmmxGKIBNsB9DKUjokRZYHCshGw2OxQYjG07K8DAIRjCtpC8fdnqYsVI8otWsUoFFXhD/PvMFG+YWJElGGhxOKukCTYXK5Ot5VyLSPKIpIsJ+cZaQ0YtFbdZllCocNiVGhEunBYTXBZ45X7BnamI8o7TIyIMkxLjOwuN2TZ1Om25CKvrBhRltCG0zUckhiVuq2QudYW5SB2piPKX0yMiDIs2KY1XvB0uU1rvsChdJQtvJXjAKQqRlzDiHIdO9MR5S8mRkQZFkx0pLO7u0mMWDGiLFM2dhwAoKE23pmuPrmGERMjyk3sTEeUv5gYEWVYag2jgi63JYfScR0jyhLaULq2+gMIt7d3qBixIx3lpuRQOlaMiPIOEyOiDNPmGHWXGHUcSsdWsZQNHG4P3MUlAICG3buSc4zKWDGiHJUcSseKEVHeYWJElGFBX99D6SJCwK+oGY2LqCcdGzBwjhHlOm9ifa56H7vSEaWTqqpYsWIFxo8fD4fDgVmzZuHvf/+70WF1YjY6AKJ801vFyGmS4ZAlBFWBxmgMHrOpyzZEmeatGoeajzaiYXcNGtRiAPGudES5qIxzjGgYEUIgFjbmvWq22SBJ/e9OumLFCjz55JP4/e9/j8mTJ+Ott97Ct7/9bZSVleHkk0/WMdL+Y2JElGHaHKPuKkZAfJ7R3nAUTZEYxjl4VJ6MV5aoGNXvqkFD0REAWDGi3OX1sCsdDR+xcBi/ueR8Q/Z91aq/w2K392vbcDiMX/ziF3jttdcwb948AMCECRPwzjvv4KGHHmJiRJSvtKF03bXrBuLzjPaGo2hgZzrKEsmhdLtr0GDhUDrKbR0rRkKIAR0RJ6Lubd++He3t7Tj99NM7XR+JRHDUUUcZFFVXTIyIMiyUnGPUdSgdwJbdlH1KRldCkmUEA+1oDsTnXWjzMIhyjZb0h2Mq/OEYPHaLwRER9cxss+GqVcbM0zHb+n+AzO/3AwD+9a9/YfTo0Z1usw3gcfTGxIgow4LJOUY9VIwsWmc6tuym7GC2WFAyagx219VDFYAkASVOJkaUmxxWE9w2M/zhGOp9YSZGlNUkSer3cDYjHX744bDZbKitrc2aYXPdYWJElEFCiF6bLwAdKkYRVowoe3grx2LbgfgRv2KnFWYTm5pS7vK6rfCHY2jwRzChzOhoiIY/j8eD6667Dtdccw1UVcWJJ56I1tZWvPvuuygoKMAll1xidIgAmBgRZVS4PQChxttw23tIjEo4lI6yUNnY8Wj/cAcALu5Kuc/rtqGmsZ2d6YjS6Kc//SnKysqwYsUK7NixA0VFRTj66KOxfPlyo0NLYmJElEGhREc6i80Os6X74RkdF3klyhbeqrEImpzx82y8QDmujJ3piNJOkiRcffXVuPrqq40OpUccC0GUQUF/ovFCD/OLAKDUEl+7iBUjyibeynFoNzkAACVOzrmg3OblWkZEeYmJEVEGaRUjRw8d6YAOQ+k4x4iySEHZCIRt8fetR4oYHA2RvpgYEeUnJkZEGaStYdRrxYhD6SgLSZIE1eMFANgifoOjIdIXh9IR5ScmRkQZFExWjHobShdPjHyKinCiUQNRNgg7CgEAZn+jwZEQ6UtrMFLvZ3WUKJ8wMSLKoFBijpGjoOehdIVmE0yJhdZZNaJs0i7H5xiheb+xgRDpzJuoGDWwYkSUV5gYEWWQVjGy9zLHSJYkFJu5yCtlH58af1/GDtYaHAmRvso6zDESQhgcDRFlChMjogwKJhd37XkoHZCaZ8QGDJQthBBoCSWGdjbWIRTgPCPKXdoco3BMhS/Mv8NE+YKJEVEGhRLNF3qbYwQAJWzZTVmmLRhDVI0fOXeoQTTs3mVwRET6sVtMcNviB6g4nI4ofzAxIsogrWJk9/Q8lA5INWBgYkTZoj7RttiOGMxCQUMtEyPKbVrVqIENGIjyBhMjogwK9rNiVMq1jCjLaOu5FFoTl2t3GhgNkf6SnelYMSIaMiEELr30UpSUlECSJGzatMnokLplNjoAonyiLfDaV8WohBUjyjKNiaPmXlfiyyIrRpTjuMgrUfq8/PLL+OMf/4jVq1djwoQJ8Hq9RofULSZGRBkSjYQRi8T/ge1v8wW266ZsoX05HFnsjl+urYEQApIkGRkWkW5SQ+mYGBENVXV1NSoqKnD88ccbHUqvOJSOKEO0apFsMsHqcPa6rZcVI8oy2pfDUWWFkE0mRILt8DXUGxwVkX60ihGH0hENzaJFi3DllVeitrYWkiRh3LhxRofUI1aMiDJEm19kd3v6PMqeHEoX4TpGlB20xMjrsaN41Bg07N6F+toaFJSNMDgyIn1wKB0NB0IIiKhqyL4li9yvUQP33XcfJk6ciIcffhjvv/8+TCZTBqIbHCZGRBkSSq5h1Pv8IoBD6Sj7aJ25vG4biqvGoWH3LjTU1mDi7DkGR0akD20oXT270lEWE1EVdbf+15B9j7rjeEjWvpOcwsJCeDwemEwmlJeXZyCyweNQOqIMCWqNF/roSAekutI1x2JQueo6ZYFkxchtg7dqHACgvrbGuICIdKZ1peM6RkT5gxUjogxJturuo/ECABQnFnhVBNASU5JD64iMoiVGZR4rihOJUQMTI8phyTlG/jAbjVDWkiwyRt1hTEMDyZJ79RV+2yLKkFByjlHfQ+lssgyPSYZPUdEUjTExIsM1+OLDiUpdNpS4xgIAmvfthRKLwmS2GBkakS60oXSRmApfOIYCO9/nlH0kSerXcDbqn9xL9YiyVDA5x6jvihGQmmfERV7JaO2RGILReCMQr8cGT2kZbE4XVEVB0949BkdHpA+7xQSPLf53mJ3piPIDEyOiDAklh9L1XTECUvOM2LKbjKZVi+wWGS6rCZIkwVsVrxpxnhHlMq+2lhETI6K8wMSIKEO0ipG9nxUjbfhcU5Qtu8lY9R0aL2jzLLyV4wBwnhHltmQDBnamIxqSpUuXoqamxugw+sTEiChDtAVeHf2YYwR0qBhxKB0ZTGu8UJqYjA4AZWPHxW9jYkQ5LNmy2xcyOBIiygQmRkQZEvQnmi8MdI4Rh9KRwRoTR8vLEkfPgVTFiEPpKJelFnllxYgoHzAxIsqQZLvuflaMUkPpmBiRsTquYaTR5hj5mxoR8vsNiYtIb6nEiHOMiPIBEyOiDFAVBeFAAMAAutIl1jJixYiM1l1iZHO6UFA2In47q0aUo1JD6ZgYEeUDJkZEGRAKpI6o2939TYw4x4iyQ2qOkbXT9d5KrTPdzozHRJQJrBgR5RcmRkQZoA2js7lckE39W4iN7bopW2jzKzpWjADAWzUufnvtrkyHRJQR7EpHlF+YGBFlwEA70gGp5gucY0RG624oHZCqGDXu3Z3xmIgyITmUzh+GEMLgaIhIb0yMiDJgoGsYAamKUVAVCChcy4iMoy1uWebpPJTO4y0DAPibGzMeE1EmaAcDIjEVbSEepCLKdUyMiDIglOxI1//EyGWSYU0spslFXsko4ZiS/EJY6upcMXIXlwKId6bj0XTKRXaLCR5b/CAV5xkR5T4mRkQZoM0xsnv6P5ROkqTUWkZswEAGaQrE51aYZQmFDkun29zFJQAAJRpFKFEVJco12nC6BnamI8p5TIyIMkAbSjeQihHABgxkvAZfPDEqdVshy1Kn28xWazLZ9zc3ZTw2okzQhtPVs2JElPOYGBFlQChZMRpYYlSSWMuIDRjIKD01XtB4ElUjfxPnGVFu8ibm1rFiRJT7mBgRZUBwEF3pAK5lRMarT65h1H1i5CpJzTMiykVlybWM2LKbaCh8Ph8uvPBCuFwuVFRUYOXKlZg/fz6WLl1qdGhJuiVGNTU1WLx4McaPHw+Hw4GJEyfitttuQyTS+x+W+fPnQ5KkTqfLLrtMrzCJMkKbf+EoGGBiZOVQOjJWY3INI2u3t3dswECUi5JD6VgxoiwkhEAkEjHkNNCmO8uWLcO7776Lf/7zn3j11Vfx9ttvY+PGjTo9M4Nj1uuBt27dClVV8dBDD2HSpEn45JNPsGTJEgQCAdx999293nfJkiW44447kpedTqdeYRJlRLL5wgDnGJVYuJYRGUsbSlfWQ8XIrVWM2LKbcpRXa77AOUaUhaLRKH7xi18Ysu/ly5fDau3+oNmhfD4fVq1ahaeffhoLFiwAADz++OMYNWqUniEOmG6J0cKFC7Fw4cLk5QkTJmDbtm148MEH+0yMnE4nysvL9QqNKOOSFaMBdKUD2HyBjNfnHCMOpaMclxpKx8SIaLB27NiBaDSKOXPmJK8rLCzE1KlTDYyqK90So+60traipKSkz+2eeuopPPnkkygvL8dZZ52FW265pceqUTgcRjic+mPV1taWtniJ0kEIMeiKUWqOEdcxImM0JOcYdX9U0JVsvsCudJSbtIoRh9JRNrJYLFi+fLlh+841GUuMtm/fjvvvv7/PatEFF1yAsWPHYtSoUdi8eTNuvPFGbNu2Dc8++2y3269YsQK33367HiETpUUkGISqxBMbx4C70nEoHRkrNceIQ+koP2nz6xr88TkVkiT1cQ+izJEkqd/D2Yw0YcIEWCwWvP/++6iqqgIQL5h8/vnnOOmkkwyOLmXAidFNN92EX/3qV71us2XLFkybNi15ee/evVi4cCG+8Y1vYMmSJb3e99JLL02enzFjBioqKrBgwQJUV1dj4sSJXba/+eabsWzZsuTltrY2VFZW9vfXIdJdyB+vFpktVlhs9gHdl80XyGj9HUrX3toCJRaDyZzRgQhEutPe+xFFRVso1mWhYyLqm8fjwSWXXILrr78eJSUlGDFiBG677TbIspxVBxsG/C/Ytddei0WLFvW6zYQJE5Ln6+rqcMopp+D444/Hww8/POAA586dCyBeceouMbLZbLDZuv8HmygbaK26B7qGEZAaStcSUxBVBSxy9vzxoNynqAJNgUTFyNP9EUmHpwCyyQxViSHQ0oQC74hMhkikO7vFBI/dDF8ohnpfmIkR0SD9+te/xmWXXYavfvWrKCgowA033IDdu3fDbh/YQWM9DTgxKisrQ1lZWb+23bt3L0455RTMnj0bjz/+OGR54N3BN23aBACoqKgY8H2JsoG2uOtAGy8AQLHFBAmAANASi6HMyn+QKXOaAhGoApAkoMTZfWIkyTJcxcXwNdTD39TIxIhyUpnbBl8ohgZ/GJNGuI0Oh2hY8ng8eOqpp5KXA4EAbr/99k6jxYym2zpGe/fuxfz581FVVYW7774b9fX12L9/P/bv399pm2nTpuG9994DAFRXV+OnP/0pNmzYgJqaGvzzn//ExRdfjJNOOgkzZ87UK1QiXQWTHekGXjEySRKKLSYAQAMXeaUMawzEh9EVO60wm3r+58LNznSU47zsTEc0ZB9++CGeeeYZVFdXY+PGjbjwwgsBAF//+tcNjixFt8Hgr776KrZv347t27djzJgxnW7TFoSKRqPYtm0b2tvbAQBWqxWvvfYa7r33XgQCAVRWVuK8887Dj3/8Y73CJNJdciide+AVIyA+nK4pqnCeEWVcg6/3xV01nuJS7APgb2ZnOspNZexMR5QWd999N7Zt2war1YrZs2fj7bffhtfrNTqsJN0So0WLFvU5F2ncuHGdVs2trKzEmjVr9AqJyBBa84XBVIwArTNdGE1RtuymzOqr8YKGFSPKdanOdEyMiAbrqKOOwoYNG4wOo1e6DaUjorjUGkaDrxgB7ExHmZdaw6j3xCi1lhETI8pNyaF0iSoqEeUmJkZEOtOG0g22YpRs2c05RpRhDf5+DqVjxYhyXHIoHStGRDmNiRGRzkJ+bY7RUIbScZFXyrwBD6XjHCPKUWy+QJQfmBgR6UwbSucoGOxQunhXOg6lo0zTvgSWDWCOUcd5o0S5wuvRhtIxMSLKZUyMiHSmVYwcQ51jxKF0lGGpOUa9D6VzF8cTo2g4hEiwXfe4iDJNG0rX4I8w+SfKYUyMiHSWbNc9pK50HEpHmdeYnGPUe8XIYrfD5nQB4Dwjyk2lrvjBgYiioi3Iv8VEuYqJEZGOYtEooqEggCFUjKzsSkeZJ4RIJUae3hMjoONwOs4zotxjt5jgscf/FrMBA9HAzZ8/H0uXLjU6jD4xMSLSUSgxv0iSZNiczkE9RmmyYqRwCAdlTFswhoiiAkgdLe9NqgEDK0aUm1LD6ZgYEeUqJkZEOgomO9K5IcmD+7hpQ+miQsCX+KJKpDftqLjHZoY90QCkN26uZUQ5ThtSWs8GDEQ5i4kRkY60ipHdM7hhdADgMMlwmuIfVTZgoExJturuxzA6IFUx8jExohxVxpbdREOiqipuuOEGlJSUoLy8HD/5yU+MDqkLs9EBEOUyrWLkGEJiBMSH07UrETRGYxiP/n1RJRqKxn4u7qrROtMFOJSOchSH0lE2EkJAVYOG7FuWHZAkqd/br1q1CsuWLcP69euxdu1aLFq0CCeccAJOP/10HaMcGCZGRDoK+bTEaHAd6TQlFhN2h9iZjjKnv4u7ajquZUSUi7SDBBxKR9lEVYNYvWaGIfuef/LHMJn6P3965syZuO222wAAkydPxm9/+1u8/vrrWZUYcSgdkY60xV3t7qElRloDhgYmRpQh/V3DSMM5RpTrvO7UWkZENHAzZ87sdLmiogIHDx40KJrusWJEpKO0DaWzcpFXyqzBVowCLS1QFQWyqe+GDUTDCYfSUTaSZQfmn/yxYfseCIvF0umyJElQ1exqKsXEiEhHoTRVjLjIK2VaQz8Xd9U4i4ogyTKEqqK9tSWZKBHlCnalo2wkSdKAhrNR7ziUjkhH2lC6oc4x8lq4yCtl1kArRrJsgquoGACH01Fu0jo0NvojXFOOKEcxMSLSUXIonXvoXekAoDGiDDkmov5IJUb9m2MEpOYZ+diZjnKQ9lmIKCragjxIRZSLOJSOSEdaVzr7kLvScSgdZVaDb2BD6YDEPKPqL1gxopxkM5tQYDejLRRDvT+EQqel7zsREQBg9erVXa57/vnnMx5HX1gxItJR2psvMDGiDGiPxBCMxquT/V3gFejQgKG5SZe4iIymfR7qfexMR5SLmBgR6USoKsJ+P4D0LPAKMDGizNCqRXaLDJe1/93ltEVeWTGiXJVq2c0GDES5iIkRkU5C7QEIEW9DaXe7h/RYJZb4l9OAoiKkZFdrS8o99doaRi7bgFY11ypGPiZGlKPKPOxMR5TLmBgR6STYFu9IZ3U4YDIPbSx6odkEc+L7KecZkd6SjRcGMIwOYMWIcl8ZK0ZEOY2JEZFOQn5tDaOhDaMD4usUlHA4HWVIY2INo7IBdKQDOMeIcp/WmY6JEVFuYmJEpJOgT2u8MLSOdJpUZzq27CZ9DXQNI42WGIXbA4iGQmmPi8hoHEpHlNuYGBHpJJToSGd3pycxYgMGypTBJkY2pxMWuwMA5xlRbko1X2BXOqJcxMSISCdBX3wo3VA70mmSLbsjTIxIX1piVDrAoXRAapHXABd5pRzErnREuY2JEZFOQmlaw0jDRV4pU7Sj4QOtGAGp4XRswEC5SBtK1+APQwhhcDRElG5MjIh0olWM0jeULt6ym0PpSG+DHUoHsGU35TatihpVBFqDUYOjIRo+5s+fj6VLlxodRp/MRgdAlKtSQ+k4x4iGl4bExPIyzyCG0mkVIw6loxxkM5tQYDejLRRDgz+MIufAPyNE+ejZZ5+FxTK0pUsygRUjIp2EEl3p7GkeSsc5RqSncExBWyj+Hit1DaJipM0xamLLbspNqc50bMBA1F8lJSXwpOlAsZ6YGBHpJKjNMUrTUDqvlRUj0l9TIP5lzyxLKHQM/OhecigdK0aUo7QhpvVswEDUbxxKR5TnQunuSsehdJQBDYmj4KVuK2RZGvD93cVsvkC5zas1YOBaRpQFhBBoV1VD9u2UZUjSwP+dyGZMjIh0IIRIVYzSPJSuJapAEQKmHPtjRNlhKI0XgFTFKNDcBKGqkGQOTKDcUsaW3ZRF2lUVE9/62JB9V580Ay6TyZB964X/YhHpIBYOQ4nGOxbZ0zSmVkuMVMSTIyI91CfXMBpcYuQqKgYkCaqiJBuQEOWS1BwjJkZEuYYVIyIdBP3xL4QmsxkWmz0tj2mRJRSaTWiNKWiMxpILvhKlU2NyDaPBddsymc1wFhSivbUFvqZGOAuL0hgdkfG0zwYrRpQNnLKM6pNmGLbvXMNvVkQ6CHboSJfO8bcllnhixEVeSS/al72yQVaMgPhwuvbWFvibGjFy/MR0hUaUFVKLvLIrHRlPkqScG85mpNxL9YiyQHINozR1pNOwAQPpbahzjIAOaxmxAQPloGRXOg6lI8o5TIyIdKB1pEvX/CKNNnyOaxmRXhqSc4wGv3CltpaRv5lrGVHu0RKjxkAYQgiDoyGidOJQOiIdpNYwSk9HOo3WgIFD6UgvqTlGrBgRdUc7aBBVBFqDURQ5B38QgShfrF692ugQ+oUVIyIdhJJzjDiUjoaXtA6l4yKvlINsZlNy8WMOpyPKLUyMiHSgdaVL1xpGmlRixHbdlH6KKtAUSFSMPIM/Cu7hIq+U47TOdPXsTEeUU5gYEelAqxilu/lCcigd5xiRDpoCEagCkCSgZAjDg1zJihHnGFFu8rrZmY4oFzExItKBNsfInu6KkZVD6Ug/jYH40e9ipxVm0+D/edCG0oV8bYhF+MWRcg8XeSXKTUyMiHQQbNOG0nGOEQ0fDb6hLe6qsbvcMFvij8GqEeWiVMWIiRFRLmFiRKSDUGKOkT3tXenii7g1RWNsE0tpl47GC0B8wcFUZ7qGIcdFlG2Si7yyYkSUU5gYEekgqM0xSnPFyJuoGIVUgXZFTetjE6XWMBpaYgQALq5lRDmsTFvklRUjopzCxIgozZRYDJFgOwDAnubmC06TDLssAQAaOJyO0qzBn56hdADXMqLcpnVt5FA6otzCxIgozUKJxguQJNjd7rQ+tiRJyXlGTWzZTWmWrqF0ABMjym3JOUY+NhchyiVMjIjSTEuM7C43ZNmU9scvYQMG0omWGJWlITHyMDGiHJacY+QPQ1U535OoPxYtWoSzzz7b6DB6ZTY6AKJcE/Tp05FOk+xMx7WMKM1Sc4yGPpSOc4wol5W64olRTBVoDUZR7Br6Z4Yo1913331Z3ziKFSOiNNMSo3TPL9Joaxk1sWJEadaYnGOUxqF0zawYUe6xmmUUOiwAOM+IqL8KCwtRVFRkdBi9YsWIKM1SHenS26pbo7Xs5lA6SichRCox8qR3KJ0QApIkDfkxibJJmceG1mAU9b4wJo/U50AYUV+EEAgaNOfYYTEN6G/7okWL0NLSgueff16/oIaIiRFRmiXnGOlVMeIcI9JBWzCGSKIFfGkahgW5iuOJkRKNIuT36XaggMgoXrcV2w+yZTcZKxhVcPitrxiy78/uOBNOa26lEhxKR5Rmus8x4lA60oH25c5jM8NuGXrTELPFAnsiGeI8I8pFyc50fnamI8oVuZXmEWUBrWLk8BTq8vglbL5AOmjUWnWnYRidxlNcgpCvDf6mRpRVjUvb4xJlg46d6YiM4rCY8NkdZxq271zDxIgozbQ5RhxKR8NJOhd31bhLSlFfW8OW3ZSTtIpRvY+JERlHkqScG85mJA6lI0qzkD8z7bq5wCulUzoXd9VwkVfKZWVuVoyIcg0TI6I0C7Zp7br16koXT4xaYwqiXFiQ0iSdaxhptAYMbNlNuYhD6YhyDxMjojQLJucY6VMxKraYkh9cNmCgdGlI4xpGGg8rRpTDOJSOKPcwMSJKIyFEql23TomRLEkotrAzHaWXvkPp2JWOco/XE6+uNvojUFm9J+pTOByG2+02OoxeMTEiSqNwewBCja8F49BpKB3ARV4p/XRNjDiUjnJQqSv+WYmpAq3BqMHREGWvWCyGzz77DGvXrsURRxxhdDi9YmJElEahREc6s80GszV9czUOpTVgaGDLbkqTVGKUxq50xSUAgPbWFigxvlcpt1jNMoqcFgBc5JWoN5988gmOOeYYHHHEEbjsssuMDqdX7O9HlEbBZEc6/apFABd5pfRr1GGOkcNTANlkhqrEEGhpQoF3RNoemygbeN02tLRH0eALY8pIfYZPEw13Rx55JNrb240Oo19YMSJKI61ipOcwOoBrGVF6tUdiaI/E27+nc4FXSZbhLolXjdiAgXKRVmFlxYgoNzAxIkqjoC/RqlunxguaVGLEtYxo6Bp88WqR3SLDZU3vSubuYnamo9xV5rEDYGc6olyha2L0ta99DVVVVbDb7aioqMBFF12Eurq6Xu8TCoVwxRVXoLS0FG63G+eddx4OHDigZ5hEaRNMVox0Tow4lI7SSDvaXeqyQZKktD62Ns/I38zOdJR7tIqR1u6eiIY3XROjU045BX/961+xbds2/OMf/0B1dTXOP//8Xu9zzTXX4MUXX8Tf/vY3rFmzBnV1dTj33HP1DJMobUJ+rWKk71A6bZHXRjZfoDRo1BovpHEYncbNtYwoh2lz8rjIK1Fu0LX5wjXXXJM8P3bsWNx00004++yzEY1GYbFYumzf2tqKRx99FE8//TROPfVUAMDjjz+Oww47DOvWrcNxxx2nZ7hEQ5asGGVsKB0TIxo67Wh3WRo70mmYGFEuK/NwkVeiXJKxOUZNTU146qmncPzxx3ebFAHAhg0bEI1GcdpppyWvmzZtGqqqqrB27dpu7xMOh9HW1tbpRGSUoD9DQ+kS6xhxKB2lgx5rGGmYGFEuK2PFiCin6J4Y3XjjjXC5XCgtLUVtbS1eeOGFHrfdv38/rFYrioqKOl0/cuRI7N+/v9v7rFixAoWFhclTZWVlOsMnGpCQLzPturWhdE3RGITgius0NNqXulI9KkacY0Q5jEPpiPpn/vz5WLp0qdFh9GnAidFNN90ESZJ6PW3dujW5/fXXX48PP/wQ//nPf2AymXDxxRen9YvczTffjNbW1uRp9+7daXtsooHSKkZ6zzHSmi/EBNAaY2c6Gho91jDSdKwYMYmnXKMNpWvwR6CqfH8TDXcDnmN07bXXYtGiRb1uM2HChOR5r9cLr9eLKVOm4LDDDkNlZSXWrVuHefPmdblfeXk5IpEIWlpaOlWNDhw4gPLy8m73ZbPZYLOl/x9zosHQ2nXrPZTOJstwm2T4FRVNUQVFFq7VTINXn4GhdNFwCJFgO2xOV9r3QWQUrcqqqAItwShKXOmvuhJR5gz421RZWRnKysoGtTNVVQHE5wV1Z/bs2bBYLHj99ddx3nnnAQC2bduG2trabhMpomyjLfCqd8UIiA+n8ysRNEZjmAAeHKDB03OOkcVmh83lQjgQgL+pkYkR5RSLSUaR04KW9iga/GEmRpR5QgDRdmP2bXECg1zi4V//+hcuuOAC/O53v8OFF16Y5sAGT7fDzOvXr8f777+PE088EcXFxaiursYtt9yCiRMnJpOcvXv3YsGCBfjTn/6EOXPmoLCwEIsXL8ayZctQUlKCgoICXHnllZg3bx470lHWi0bCiEXiXzD17koHxDvT1YYibNlNQ9bg0xIjfb7UuYtLE4lRE0rHVOmyDyKjlLltaGmPot4XxpSR+v/tJ+ok2g78YpQx+15eB1gHfrDr6aefxmWXXYann34aX/3qV3UIbPB0a77gdDrx7LPPYsGCBZg6dSoWL16MmTNnYs2aNcmhb9FoFNu2bUN7eyrTXblyJb761a/ivPPOw0knnYTy8nI8++yzeoVJlDZatUg2mWB1OHXfHxd5pXSIxFS0heLvIT0qRkCHeUbN7ExHuYcNGIj674EHHsAPfvADvPjii1mXFAE6VoxmzJiBN954o9dtxo0b12Uyrt1uxwMPPIAHHnhAr9CIdKHNL7K7PZAGWVoeiJJEy26uZURD0RiIf5kzyxIKHd0vpTBU7mK27Kbc5eVaRmQkizNeuTFq3wPw97//HQcPHsS7776LY489VqeghoYztonSJKStYZSB+UVAapHXBiZGNAQNvnhHulK3FbKsT0KvVYx8TIwoB2lrGdWzYkRGkKRBDWczwlFHHYWNGzfisccewzHHHJORg8gDlbEFXolyXVBrvKBzRzpNqYVD6Wjo9Gy8oNHWMgpwKB3lIK8nPjdPO8hARN2bOHEi3nzzTbzwwgu48sorjQ6nW6wYEaVJyK8t7pqZxKgkMceIzRdoKFKLu+qYGJVwKB3lLs4xIuq/KVOm4M0338T8+fNhNptx7733Gh1SJ0yMiNIk2KbNMcrMUDpvomLEOUY0FA3JxV31azPMxIhyWWqRVyZGRP0xdepUvPHGG5g/fz5MJhPuueceo0NKYmJElCbB5ByjTA+lUzKyP8pN2pe5sgxUjAItLVAVBbLJpNu+iDItOceIzReIerR69epOlw877DAcOHDAmGB6wTlGRGkS6tCVLhNKWDGiNMjEHCNnYSEkWYYQKtpbW3TbD5ERtM9OYyACVRV9bE1E2YyJEVGaBDPdlS4xx6hdURFU1Izsk3JPoz/VlU4vsmyCq6gYAIfTUe7RPjuKKtASjBocDRENBRMjojTRFnjNVGLkMcmwJFpdsjMdDVYmKkZAh5bd7ExHOcZiklHsjK8BxuF0RMMbEyOiNAkmutLZMzTHSJIkLvJKQ5axxIiLvFIOY2c6otzAxIgoTZIVowx1pQNSDRjYspsGQ1EFmgKJrnQe/YbSAYC7RFvLqEnX/RAZgYkRUW5gYkSUBqqiIBTwA8hcVzogNc+IQ+loMJrbI1BFfOH0EqfOiRErRpTDtJbdHEpHNLwxMSJKAy0pAjLXlQ5gZzoaGu3odrHTCrNJ338OknOMmBhRDtIqRvWsGBENa0yMiNIgmGjVbXO6MrpGS3IoHdcyokFo8Om/uKuGi7xSLtOGomqfKSIanpgYEaWBNr8oU40XNKlFXlkxooHLVOMFIDWUjnOMKBeVsWJElBOYGBGlQXINowwOowOAEiubL9DgaYlRaSYSo0TFKNweQDQU0n1/RJnkTcwxauAcI6JuzZ8/H0uXLjU6jD4xMSJKg1BiKF2m1jDSlHKOEQ1Bgz9zQ+lsTicsdgcAzjOi3FPGrnREOYGJEVEaaBUje8YTI65jRIOXyaF0QKpqFOAir5RjtK50jYEIVFUYHA0RDZbZ6ACIcoHWfCHjQ+k4x4iGQEuMyjKVGBWXoLluDxswUM4pccWrrooq0NweycjwVCIAEEIgGAsasm+H2QFJkgzZt16YGBGlgTaULtPNF7yJOUbNUQWKEDDl2B8o0ldqjpH+Q+kAtuym3GUxySh2WtDcHkWDn4kRZU4wFsTcp+casu/1F6yH0+I0ZN964VA6ojQI+rTmC5kdSldsjidGAqwa0cA1JucYZXYonZ9D6SgHcZFXouGPFSOiNAj5jWnXbZYlFJlNaIkpaIoqKLNaMrp/Gr6EEKnEyJOpoXSJOUZNbNlNucfrtuHzA342YKCMcpgdWH/BesP2nWuYGBGlQWqOUWYrRkC8M11LTIm37HZlfPc0TLUFY4goKgCg1JWpoXQlAAAfK0aUg0YkDjB8cdBncCSUTyRJyrnhbEbiUDqiNNAqRo4CAxIjK1t208BpC1F6bGbYE90N9aZVjNh8gXLRaYePBAD85f3dCMcUg6MhosFgYkQ0REKI5Bwje4a70gFASeJLLecY0UA0aq26MzSMDujYrrsJQlUztl+iTFh4RDlGFdrR4I/gn5vqjA6HiAaBiRHREEWCQahKPClxZHiOEcBFXmlwMrm4q8ZVVAxIElRFSQ4/JcoVZpOMi48fBwB47N0aCMH1jIiGGyZGREMU8se/4JktVlhs9ozvP5kYRZgYUf9lenFXADCZzXAWFAJgy27KTd86tgoOiwlb9rVh3Q42GSHSrF69Gvfee6/RYfSJiRHRECWH0RlQLQK4yCsNTqbXMNIkW3YzMaIcVOi04PzZYwAAj76z0+BoiGigmBgRDVEo2ZHOmMSIzRdoMBoyvIaRhokR5bpFJ4wDALy+9QBqGgLGBkNEA8LEiGiIgsk1jDLfkQ7gHCMaHCOG0gGAJ7nIK4cZUW6aWObGqdNGQAjgj/+tMTocIhoAJkZEQ6QNpXMYlBilhtKxPSz1n1GJkas4vpYRK0aUy757wngAwN8+2I22UNTgaIiov5gYEQ2R1nzBiI50QIehdJEYuyBRv6USI4PmGHGRV8phJ0wqxdSRHgQiCv76/m6jwyGifmJiRDREWtthu9vYoXQRIeBXuDYM9U+jQXOMPFzklfKAJEn47onjAACPv1uDGP82Ew0LTIyIhig1lM6YipHTJMMhSwDYmY76pz0SQ3skPvQykwu8Ah0rRpxjRLnt60eORonLir0tQbz62QGjwyGifmBiRDREIa35gkFd6YDUPCOuZUT90eCLV4vsFhkuqymj+3YlEqOQrw2xSCSj+ybKJLvFhAvnVgEAHnuXrbuJhgMmRkRDpA2lM6r5ApCaZ9TAihH1Q722hpHLBkmSMrpvu8sNsyU+r4lVI8p1Fx03FhaThPdrmrF5T4vR4RBRH5gYEQ1RNlSMSrnIKw1Ao9Z4IcPD6ID43IvUWkYNGd8/USaNKLDjrJmjAACPccFXoqzHxIhoiIyeYwR0XMuILbupb9rirmUZ7kin4TwjyiffPTHeuvulzftwoC1kcDRE1BsmRkRDEItGEQ0FAQAOT6FhcZRyjhENgFFrGGm4lhHlk+mjCzFnfAliqsCf1tYYHQ4R9YKJEdEQhBLziyRJhs3pNCyOEg6lowHQEqNSoytGTIwoT2gLvj69vhbBCCv7lD5CCKjt7YacBrJ24vz583HllVdi6dKlKC4uxsiRI/HII48gEAjgO9/5DjweDyZNmoR///vfOj5bfTMbuneiYS6YnF/khiQbd5whucgrEyPqB6PWMNJ4mBhRnjn98JGoLHFgd1MQz2/ai2/NqTI6JMoRIhjEtqNnG7LvqRs3QBrAQeFVq1bhhhtuwHvvvYe//OUvuPzyy/Hcc8/hnHPOwfLly7Fy5UpcdNFFqK2thdOgg82sGBENgVYxshvYkQ4ASi3xlstMjKg/6g0eSsc5RpRvTLKERcfHq0aPvbNzQEfaiXLFrFmz8OMf/xiTJ0/GzTffDLvdDq/XiyVLlmDy5Mm49dZb0djYiM2bNxsWIytGREOgVYwcBnakAziUjgYma+YYNbNiRPnjf48Zg5Wvfo4vDvrx9hcNOGlKmdEhUQ6QHA5M3bjBsH0PxMyZM5PnTSYTSktLMWPGjOR1I0eOBAAcPHgwPQEOAhMjoiEIJTrS2Q3sSAd0GErH5gvUDw0+LTEyZo5Rx6F0QoiMr6VEZASP3YJvHDMGj79bg8fe3cnEiNJCkqQBDWczksVi6XRZkqRO12n/FqiqmtG4OuJQOqIhSC7u6jZ6KF08MfIpKsIG/kGh7BeJqWgLxRNo4ypG8cRIiUaT64AR5YPvHD8ekgSs3laP7Qf53ifKNkyMiIYgOZSuwNjEqNBsgilx0L2ZaxlRLxoD8WqRWZZQ6LD0sbU+zBYLHIl5eZxnRPmkqtSJ0w+LDxd6/N0aY4Mhoi6YGBENQXIoncFzjGRJQrGZnemobw2+eEe6UrcVsmzcEDY31zKiPKUt+PqPjXvQHIgYHA0RdcQ5RkRDEPS1AgAcBs8xAuLzjBqiMc4zol4l1zByGTOMTuMuKUV9bQ0TI8o7c8eX4IhRBfi0rg3PvF+LH8yfZHRIRLpbvXp1l+tqamq6XGd0x0ZWjIiGINWVztihdEBqnhE701Fvkh3pPMYnRgArRpR/JElKLvj6p//uQlThvFCibMHEiGgIsqUrHQCUJNYyamBiRL1oSC7uakxHOk1qLSMmRpR/vjqrAl63DfvbQvh/H+8zOhwiSmBiRDQE2bKOEZCqGHEoHfVGqxiVGdSRTuMuZsWI8pfNbMLF88YC4IKvRNmEiRHRIAlVRdjvBwDYPVkwlM7KoXTUt+Qco2ypGDWxKx3lpwvmVsFqlvHRnlZsrG0xOhwiAhMjokELtQcgRHxseDY0XyixsCsd9a0xOZQuS+YYcSgd5Smv24azjxwFIF41IiLjMTEiGqRQYnFXq8MBk9mY9WA68jIxon5INl/IksSovbUFSozvWcpPWuvuf3+yD3ua2w2OhoiYGBENUjCRGNmzoCMd0LErHRd4pe75QlHUNsW/fI0oMDYxcrg9kE3x92yghcPpKD9NKy/ACZNKoQrgibW7jA6HKO8xMSIapGCiI102DKMDgBIrmy9Q7555rxbtEQUTy1yYMsLY960ky3CXcJFXIq1199Pv1SIQ5t9vIiMxMSIapFCiI509CzrSAamKUXMsBpUdjugQkZiKRxPzGL5/0kTIsmRwROxMRwQAp0wdgfFeF3yhGP6xcY/R4RDlNSZGRIOkDaVzZEFHOiC1jpEigNYYh9NRZ89v2osDbWGMLLDh60eNMjocAB0bMHAoHeUvWZbwnRPGAQAef7cGqsoDW0RGYWJENEjZVjGyyjI8pvhHek8oYnA0lE1UVeDht3YAiA/bsZlNBkcU5y7mUDoiADjv6DEosJuxsyGAN7cdNDocorzFxIhokFIVo+xIjADguCI3AOCBWv7DSimvbz2I7Qf98NjM+NbcKqPDSUqtZcTEiPKby2bGt+bEP5uPvcvW3URGYWJENEihZPOF7BhKBwA3TaiABOD5gy34sI2tXynuoTXVAIALjqtCgd341vIaJkZEKRcfPw4mWcK72xuxZV+b0eHQMCGEQDSsGHISA5jPPH/+fFx11VW44YYbUFJSgvLycvzkJz/R74kZJLPRARANV8l23VmUGB3hduAb5cX46/5m3FG9F88eOQmSZPwkezLOBzVN+GBXM6wmOdn9KltwjhFRyugiBxYeUY5/fbwPj7+7E3eeP8vokGgYiEVUPHz1GkP2fel9J8Ni6//Q7FWrVmHZsmVYv3491q5di0WLFuGEE07A6aefrmOUA8OKEdEgBRNzjBxZMsdIc8P4CthkCWtbAnitkUcd893v18TnFp1z1GiMLLAbHE1nHecYDeTII1Gu0hZ8fX5TXXIxZqJcMXPmTNx2222YPHkyLr74YhxzzDF4/fXXjQ6rE1aMiAYplGVd6TRj7FZ8b0wZHqg9iJ/t2IdTSwtgYtUoL20/6MNrWw5AkoBLT55gdDhdaBWjaDiESLAdNqfL4IiIjHV0VRFmVRbho90teGpdLa4+bbLRIVGWM1tlXHrfyYbteyBmzpzZ6XJFRQUOHsyuOdGsGBENghAiWTHKlq50HV1VNQLFZhO2BUL4y34OU8pXDyWqRacfNhITy9wGR9OVxWaHzRVPhjjPiAiQJAnfTbTufmLdLoS59AL1QZIkWGwmQ04DHapvsXSe4ypJElRVTefTMWRMjIgGIRYOQ4lGAWRXVzpNocWMpeNGAgDu3LEf7Up2/eEh/e1vDeH5TXsBAN8/eaLB0fQstcgrE3giAPjKjAqUF9jR4A/jpY/2GR0OUV7RNTH62te+hqqqKtjtdlRUVOCiiy5CXV1dr/eZP38+JEnqdLrsssv0DJNowIL++DA62WSGxe4wOJruLRrtRaXdiv2RKB7ZXW90OJRhj7+7E1FFYM64EsweW2x0OD1KNWBgxYgIACwmGRcfPxYA8KuXt+LmZz/Go+/sxFuf16OuJcj5eEQ60nWO0SmnnILly5ejoqICe/fuxXXXXYfzzz8f//3vf3u935IlS3DHHXckLzudTj3DJBqwoNaqu6Aga7u+2WQZN0+owA8+24X7aw/gwlGl8Fo5rTAftAajeGp9LQDg+1k4t6ijVMWIiRGR5oI5VXhwdTUO+sJ45r3aTre5bWZMLHNh4gg3Jo/wYNIINyaPcKOyxAmTnJ3/HhENF7p+S7rmmmuS58eOHYubbroJZ599NqLRaJdxhh05nU6Ul5frGRrRkCQXd83C+UUdnT2iCL+vPYjN/iDu3bUfP5s8xuiQKAOeXl8LfziGKSPdOGXqCKPD6ZVWMfIxMSJKKnJa8fLSk/BBTRO+OODH9oN+bK/3o6YhAH84ho/2tOKjPa2d7mM1y5jgdWHSCHciWYonTeO8TtjM/W+pPFwIIRBWBcKqirAqEEr8DKsqFAAukwyXSYbbZILTJA/rJkRCVaHEYohFI2gPBKAqCmKRCKKJ30kbYQVttJUsAZB0PXArhIAA4icR/wmITpcFAJssQZYkrF69ustjPP/887rFN1gZO3zc1NSEp556Cscff3yvSREAPPXUU3jyySdRXl6Os846C7fcckuPVaNwOIxwONXSsq2N7YlJf6HkGkbZnRjJkoRbJ43C+Zuq8ce9DVg8ugzjnTajwyIdhWMKHnt3JwDg0pMmQs7yI8haYhTgUDqiTkYV2nH6jAqccLiKoKoiEI2hJRTBzno/dhz0YXdjO/Y2BnGgJYTG1ggiMRVb9/uwdb+v8wNJgMVhguwyQzbFr5AkEf8CDZG6HN80fpKSd4UkARIOvV0kb0/tpvMQP6m78xIgdRgK2HEbVQZUSYIqyVAlQJFlqJKEmCxBlSQokgxFlhCT4idFljsGmHgwCSIxSURSBaACUAWgCpgVBZaYAnNMhUlRYIopkBUFckyBpKiQEj+hqIAiIFQVQhUQqvYcAZIc/wk5kXzIMiBLgEmGSFwWJglCNkGYJKiyDFWWIUxy/PdJ/AQAJBKLjkTyumSmkbot8XO0TcZPphYi5o9A6qaju9Rx4y576Pq8d95E6vRDHLpZh0SrxwGdh/yTM7HADrc1exYW74vuidGNN96I3/72t2hvb8dxxx2Hl156qdftL7jgAowdOxajRo3C5s2bceONN2Lbtm149tlnu91+xYoVuP322/UInahHqTWMsqtVd3dOLPbglBIP3mzyYcXOfXj4iHFGh0Q6em7jXtT7wqgotONrs0YZHU6fOq5lRJQPhBDwxRTsam7Blvq9+LypEXW1B1GwZx/K2sIoCQPuqBnOmAVmmKB905QkAALwQoIXEuZoSU3ykVPnpQ7/BQCpLf0HSDJ5yGUos6q6PBfdnZM6Xu5ui+5i6pLWxP/bbbDikEsD/420e8iFNhSMPwyjgxFYo9k/3ywQboN79Gijw+i3ASdGN910E371q1/1us2WLVswbdo0AMD111+PxYsXY9euXbj99ttx8cUX46WXXuqxvHfppZcmz8+YMQMVFRVYsGABqqurMXFi185KN998M5YtW5a83NbWhsrKyoH+WkQDEkrMMcr2ipHmlomjsLppG/55sAWXVQZwdAHXi8lFqirw8FvxFt2LTxwPqzn7G48mmy8wMaIcsL+9GZ/U78aWzVsR+vgLeHwKPGETnDEr7KoNdthgk2ywynbYZBuONNkwR7bDLI8GkPjyaAZXmaQexVwSfJIFVpMNdpPV6HD6FFWCRocwIAP+6F177bVYtGhRr9tMmJCa7Ov1euH1ejFlyhQcdthhqKysxLp16zBv3rx+7W/u3LkAgO3bt3ebGNlsNthsHBpEmaV1pcv2OUaaw90O/G95Cf6yvwk/ra7Ds0dOytqmETR4//nsAHY0BFBgN+P/5lQZHU6/JIfStbRAVRTIptybC0G5TwiBZ5f+EtMtszDF5MQ0qQJARfxGa+LUB0WNIawGEVZCiKghhJUQFBFL7SM5a0P7ISC0cVOiaxUidbnn4VlD1b+HG+xOu/k3Sur11g67lACpwzPSTRlHdB0oltis5+pO9/9uSl3+23WLfvx729O/yR3DkQBZcqBInYmIEgSkWPf3MVTn30OyDK/vGgNOjMrKylBWVjaonWmLOHWcE9SXTZs2AYivjkuULVIVo+wfSqe5YXw5XjjYjLUtAbza2IYzvIVGh0RpJITA79dUAwAumjcWbtvwOOTsLCyEJMsQqor21pZkokQ0nPzlmp/iePvJkKVUlTaqhhFWQgirIUSUECJKGBERQlQNIiICiEntiMp+xCwRiCIbJp76VRxz4pkw8eAA9SIUCmHnzp1wj/bCbrcbHU7O0e1fzvXr1+P999/HiSeeiOLiYlRXV+OWW27BxIkTk9WivXv3YsGCBfjTn/6EOXPmoLq6Gk8//TS+8pWvoLS0FJs3b8Y111yDk046CTNnztQrVKIBS84xGkaJ0Wi7Fd8bU4bf1h7Ez6r34dSSApizfGI+9d/7Nc3YtLsFVrOMRcePNzqcfpNlE1xFxfA3NcLf1MjEiIadP163HPOtp0OWZNT4tmGXaR2UAiumnvo/OPpLZ/bZcIqIsoduiZHT6cSzzz6L2267DYFAABUVFVi4cCF+/OMfJ4e+RaNRbNu2De3t7QAAq9WK1157Dffeey8CgQAqKytx3nnn4cc//rFeYRINSjDR/dAxTOYYaa6sGoGn6hrxeXsIf9nfhAtH8UtortCqRefPHoMyz/AaXuwuKYW/qRG+5kZwoQYaTh5ZfhNOlRbALJtR174LWFiAC8/6g9FhEdEg6ZYYzZgxA2+88Uav24wbN67TCs6VlZVYs2aNXiERpU0oMcfIPgy60nVUaDHjmnEjcev2Oty1cz/OHlkEF4dtDHvb9vvwxtaDkCRgyZeye0HX7nCRVxqO/vCL23By5CTYzHY0hvZj7/gdOOesW40Oi4iGIPtbFhFloaBPG0o3vCpGAHDJaC8q7Vbsj0TxyO56o8OhNHjorXi1aOER5RjvHX4dB1NrGTUZHAlR//xt1e9wXMNRcJo9aIs24yPHGpxzDZMiouGOiRHRACmxGCLB+PBP+zDpSteRTZaxfEK8mclvaw+iPhI1OCIairqWIP65qQ4AcNnJXTt3Dgdcy4iGk/Vr38CkD70ospYiGAvgffVlXLzit0aHRURpwMSIaIBCicYLkCTY3W5jgxmkr48owkyPA35FxcqaA0aHQ0Pw2Ds7EVMFjptQglmVRUaHMyhaxcjHxIiyXO3uGoin96DMXoGIGsZ7oX/hkpW/MzosIkoTJkZEA6QlRnanC7I8POfnyJKEWyeOAgD8qa4BO9r730KfskdrexTPvFcLYPhWiwAu8krDQyQawY5fvYIxrvFQhIIPfK/gwt/eb3RYRJRGTIyIBijoS3SkKxhejRcOdWKxB6eWeBATwIod+4wOhwbhyfW7EIgomFbuwclTBre+XDbgHCMaDl6/5gFMch8OAPiwZTX+98G7DI6IKL6GXTQUMuQkulk4tzfhcBhXXXUVRowYAbvdjhNPPBHvv/++Ts/M4AyPFQCJsoi2htFwnF90qFsmjsKbTdvwYn0LNrYGcHTh8Ju4n69CUQWPv7sTAPD9kyf0sCL78KB1pQu3BxANhWDhooWUZZ676uc41n0SAODj5nX4+u9vMzgiorhYOIzfXHK+Ifu+atXfB/T3+oYbbsA//vEPrFq1CmPHjsWdd96JM888E9u3b0dJSYmOkfYfK0ZEA5Raw2h4V4wA4DC3A98sj/8xuqO6bsBHf8g4/9i4Bw3+CEYXOfDVmaOMDmdIbE4nLHYHAM4zouzzzDW3YLbjBADAF60f49jbLx7WByKIjBAIBPDggw/irrvuwpe//GUcfvjheOSRR+BwOPDoo48aHV4SK0ZEAxTKoYoRANwwvhzPH2zGutYA/tPYhjO9hUaHRH1QVIFH3toBAFh84nhYTMP/GJe7pBTNdXsQaG5EyajRRodDBAD44w034WTL6ZAlE2r92+H99hHwlo80OiyiJLPNhqtW/d2wffdXdXU1otEoTjjhhOR1FosFc+bMwZYtW/QIb1CYGBENUHKO0TBcw6g7o+xWLBlThvtrD+Jn1XVYUFIAs8yjodnslU/3o6axHUVOC/5vTqXR4aSFp6QEzXV72ICBssbjt96EL4lTYDFZcSC4By3HtuP4E042OiyiTiRJ4vDjNBr+hxmJMixVMRr+Q+k0V44diRKLCV+0h/Hn/ZwAn82EEHhoTXxB14uPGwunNTeOb7mK2bKbssfT967AvMCJsJucaA7XY0vpBnzlkiuMDoto2Jo4cSKsVivefffd5HXRaBTvv/8+Dj/8cAMj64yJEdEABX3xxChXKkYAUGA24Zqx5QCAO3fuQ0BRDI6IerJ2RyM+2tMKm1nGxcePMzqctEm27G5mYkTGeuvFv2L6rqlwWwrhj7biA/Pr+PatdxsdFtGw5nK5cPnll+P666/Hyy+/jM8++wxLlixBe3s7Fi9ebHR4SblxqJEog0L++FC6XKoYAcAlo0vxhz312BWK4KHd9Vg2rtzokKgbD62Jzy3632Mq4XX3f3x3ttM60wWaWLEk49Rs+xTO1xSUOCoQUtqxLvYyvnPfA0aHRZQTfvnLX0JVVVx00UXw+Xw45phj8Morr6C4uNjo0JJYMSIaoFTFKLcSI6ss4+YJFQCAB2oPoj4SNTgiOtSWfW1Y83k9ZAlY8qUJRoeTVp5ExcjHihEZJOD3Ye9v30O5YwxiagTvtb+CRff91uiwiHKG3W7Hb37zG9TX1yMUCuGdd97Bsccea3RYnTAxIhqgXGu+0NHXRhRhlseBgKLi1zUHjA6HDqHNLfrKjApUlToNjia9kkPpOMeIDLLuplUY65oEVah43/cGLnjg10aHREQZxsSIqB8ioSD2bPkEG/71fKr5Qg4mRrIk4ZaJ8TVxnqhrQHV7yOCISLOnuR0vbt4HAPj+SRMNjib9XMXx9bQCzU0QqmpwNJRvXrryLkx1zwIAfNTyDr7x4M8NjoiIjMA5RjpShYDMReCGnWg4hIM1O3Fgxxc4sGM7DuzYjsa9u4EOi59aHQ44C3JzvZ8Tiz04rbQArzW24Rc79uHR6eONDokA/OHtnVBUgRMmlWLGmNx777mKigFJgqooCPra4CwsMjokyhP/uPp2zHGeAgD4rGUD5t/5Q4MjIiKjMDHS0T8ONOOO6jpMdzsw3e3AEW4HZngcGO+wMWHKErFIBPW7duLAju3Yn0iEGnfXQoiuR6zdJaUYOWEyyidMwsRj5sJkthgQcWb8aEIF3mhsw7/qW/HsgWZMdztQYjGj2GKCie/djGsORPCX93cDAC47OfeqRQBgMpvhKixCoKUZ+3d8gbEzjszpzxhlh6evuRkn2M6AJEmo9m3B5KVnwFOYewceiKh/mBjpaPOWaoyq3YlauxOf2Rzw251ot9rhMJtwhMuBIzyOZNI0zWWHPQdWr89msWgUjbt3YX/1Fziw4wvs37Edjbt3Qe2mNbWrqBgjJ0yKJ0ITJ2PkhEnxI9p54jC3A9+sKMEz+5rwg892Ja+XABRbTCixmFFiMaPUYkZJ4nKpxYwSa+frSy1muEwyJCZTQ/LEul0IRhUcMaoAJ07yGh2ObtwlXgRamvHcL28HJAmeEi8KR4xE4YiRKCgbmTxfOLIc7qISSDL/ZlLfAk0tWPOnx+Hb3QxXxAMPCuCSC+A2e3CidSFkScbeQA3E6YUYPy171lMhosxjYqQj53P/xZkRJwJSCwKyQNAUP4WsEqJmGXUWGXVWM15yOeB3u2AtdsLrLcRh3iIcWVqIWcWFKLHmzxFTIQRUJQY1pkBRYlCiUcQiYcQiEcQiEUQ7nI/1eD7UYfvUbSGfDw27d0FVYl326ygoRPmESRg5cTJGTpiMkRMmwl1cmvdf5pdPqMD+cBS7ghE0RmNojSkQAJqiCpqiCoBwvx7HJkuJRMqEIrMZVlmCTZZglWVYpQ7nZQk2KX4+fl3ivNThvCzBmrhsk+Veq1c93dLTXSQANlmGXU49vk2WYO9jP3pRVAF/OIbW9ij++N8aAMD3T56Y0+/LY792Ltb+/Rm0HjyAWCQMX2M9fI312LPlky7bmiwWFHhHdEqcikaWo3BEOQpGjITd5c7p54pShKqi7WAD3n3qr/DX1cMVdcMlCuCWPXCZC+AyuzFTOgawIH46xP7gblRP2IELzr4t47ETUXZhYqSjE0IhTCg5utvbREyFEo4gpoShHIhAUXyIqQ2IqRFE1TBiIoLNCCMqooghgpgcQVQKQUjxL/YSVEgCkCAAiMRPNXGbAAQgifh1UuI6WQAQInF96icQ78Kh3U8jIfXlUhKiy+3xY7Udruj4GCJ+m3ZWgoBIxqvdnNp/x/k7UnzDxO/T3RcbKX6bSN4BEICQJMgCsAKwCMB+SHyVACRJhslkgslshslshcVqgdlkgbR/H6QDBxBetw67ZRmyZIYwmSDLZkiyCZLJBEjxn5Jsxoizz4HniCndxDZ8CVVAjSgI+FvR2LgHB/ftxgV7DiAWDieSVoGwEAgrQFQFIolTVAUiAoipEmIAYkKKn1QAkBPvs8QrmXj/Jd+3ifMxVSAGgfbE9bL2Hu30Xo5floTo9N6RISX+B0iQEz/j/5MlQBJS8rIkIbVt4no5sX3q06S9Z0TqfMf3KkT88wcBIUTi91KT7+3kZ1EkPpGJcFUh4r+BEFAT18VP8euEkKAKxE+J+2mf6DMFELCYsOPtz/GnmpEYVTUWY8rGoLyoFIUuV04kANGWEJo/rEeFNA3lI6YBEqAmhrQK7X+qCgG101BXcVCF/2Ar2kQL6rAV2j0kSIBZhiwdWlXq/rnSnkIp9Vev+0C7uVrCoX8JOxLd3ia0GBOXOm0pOifwXR6hUwyi8/nk7xHfQ+ctROc7SwLxv+QCkpS6reP+1OR7X+r0d109dL+JZ+HQaw/93SWogJAgpEOvT91JiHhs2vMjROq3kABIMRmumAsutQAukwcuc/w0U5rVY/ITU6Pwx1oRiPoQiPkQUNsQkJvhs7Ti2G9dgAvmXdD1TkSUd5gY6ahJDsMZrIFVtsEi22CR7bDKNsiSCZIkw2y2w2y2Gx0mIV6t6vyFGPF/hxUBxDr/cy8g8MVDG7DbfC++/uvfGRBtz9p3N2Lrf96E70ArYr4YpJgEs2qCWTXDBDPMMMMkmRI/4yezZIJJjp/XWACMRiFGg2PtB62P79eDsid+Ev9VEBPbUa9+hn0iCkWNISaiiIkYFBFDLHFSRAwxxKAgCkVSoEoKZJMKs8eOMfOPwdQvnQCLAVXpWHsEHzz9Mlo/2YkilKLYXAqn2Y0xKMMYc1nG48lbh2YxmdLbZ0Lq5vZDL1sTp0Moagz+WAv8MT/aoz741RYE5Bb4rK0wjy7BNy//EZwe95BCJ6LcxsRIR9tG1OKTuurEEe9E1UUAZiHDBiuskgVWyRb/KccvW2QrLJIVVtmaSKasHRIrG0ySOXWUUep4bDP1r4kEKXFWSl6jXcqFI8t6kCQp9bx2ubHrVSOcY2ANn44Xrr0CX78nO1ZFf+2+32Ny3VSMkEZiBEbGrzQlTgMUU6NQRBSKUBJHjHtyyBHoTtf3Zqjvw9SR9mRKK7T0NZXkdkx4RaLC0+leAp1u1z5HkpTaR8f3RfyzJXX8RKHTlr3eD10+jwAOuc8h95RS1TCTZIZZNieulmCRrLDI3Xw77I8ogFeB3a+sgT/aCn+sDQG1FUFTAO6x5Zj1jS+jtGrU4B77EGpEwYa/vIr6Dz5FoShBscWLAksRxqAYY+ypeXuqUNEWbURbpAWp6kDq+U69Nh2e947nIScrgsma4QD+3nVf1+me1M25ZLzdbNnx9ezhljTo7hE7vse6u7Xr/lP/vvS+n4Hf0rlu1UXys9nzVto1qoghEPPHqz9qK/xSC3zWZmBUAb512S1wF/GADhENjiREr996hp22tjYUFhaitbUVBQUFhsbSdGA/WuoPJoZjmWEymSFJpvhPkxmyZIJsMkOWzZATE9QlWYIsd/wJSHLiS5UQiEWj8aE4qoBQVMTUGGJRBdFYFCIWQ0yJIqaqUKIKFDUGJRZFLBpBTIlBicYQUxQo0SiiSvw2jVC0L5Dxt4MqtGFzIvmFMr62SOLLZXKEUWpIixrr+lZS1Y5fRrVhEakhEUJNjaLr+MVEUdVOX2rU5L2R+DKLxDikzvvqiRAqVEWBKlSoSvx3URPjmRRFBYQaj0VVk1+mhaoNiYoPc4KqQALgCESxwHoi7CYXWsKN2C6/irMNTo7+/YuVOKL1KMiSCQ2hPWiJ1CMm1ERio0JRBVShJE6x+AkxCEQhEAEQhSSHISEKkykKi0mB2WKCyWGCyWYDEP/iGf+SKiCZ5OSXVjnxE1KiyYJsgiTFhzZKptQX2OQXXDn+aOjwI5VUIPktrtOXWqm71zb+Hjn0u2/8cnKcZcdbEu+bxPswkagIoQ21EvHgtNA6jMCK/16pmCWTOXUoQtKGH6ViERJgkuT4UD6TDCHJkGUTJDk+eE+STYnnLH47ZDk+TBMyZFmCkOPPr/ZTiYRwsGYbWnbVQvGpkGJWQFggyQ6owgYIOyTYIAsbZGGBCVaYJAtM0KqCZpjkxE/JBLvJAZe5oNfEoT3mhz+WSJpEK8K2GEbPORozzzoJNpej2/vEolF8+Owb2PffD1GolqDY7EWhtQQmqWt27o+2oDnSgNZwE1qU/Wi11SFaZsZZ3/sJvCPK40M7YwoUNQolqiCqRqFGY1Bi8fdxLKYgFo1AVRJzEsNRxGJRqLEYokoEihJDNBLuZihdV6roMKytl38RVVWF3KVJjnTo2+zQO3XZHAAURYEsm7q5KfF+kuVuE6qOu+yahvX0enY37A3xP8A9UKJRmK1WSJIEk8kMSBLMsgWQJFisZsiyHH+Py5b4W9kc38ZiscUTd0v8PW422yABsFpSlUmL1Zb8PWSTKfE+lCBJic+ILMf/3UN8bbVk8tvhuZfZeIPyVCgUws6dOzF+/HjY7Rx1pOnteRlIbsDEiGgQfnftjThDPiWVHJlexdl3G5McvXjbnZgVmgtZkrHb/zk+jbyGcXOOxNgjj8LoSTPgLBgJ8EtEXhNCIOSvx74vPsAXn72PHXu2IeJXUOAvRUG4FC6UwG0qhNvsgdtSALvJ2eNjKUJBIFFl8qttCMAPJ9woNntRbPV2W8UKKe1oDjegJdyINuUAmm17ECxVsPDbN2DylJl6/upERDmFiVH3mBj1gIkRZcqD192I06UOyZH8Gs6+57cZjeGfN6/AUerxkCQZu/xb8Yn6Fr7/uycyGgPlhmgkhLdffhSffvw2zG0WFAS88MRK4ZKK4TIXwG3xwG0uTA7n6/Fx1AhaIo1oCTehTTmAJvMe+It9OPn8H2LmUSdm6LchIspNTIy6x8SoB0yMKJMevPZGnN6pcvQazr47M8nRP6//BY6ST4QkSdjp+wyfyutw2f2PZ2TflF987a147R8PYM/nH8Lt98AdLoNb8cJpKoLT7EZIaUdr9CBaLHvRXNSII8/4Fr508teMDpuIKOccmgAIISCiPQ+L1ZNk6f86hfPnz8f06dMBAE888QQsFgsuv/xy3HHHHWmZ/56uxIjNF4iG4PJ7foUHl92A03EqimylmBQ+Dc9dewXO0XnO0YvX/hJHW74EAKj2fYyttk247NdMikgfHmchzrloebe3hSIh2BLzSoiIKLNEVEXdrf81ZN+j7jgekrX/HZ5WrVqFxYsX47333sMHH3yASy+9FFVVVViyZImOUQ4MJx4QDdHlv74TrypvIKQE4smRejqeW3aFbvv71zV34ijLCQCAL9o24/PCrfj+rx/WbX9EvbFb7UyKiIioT5WVlVi5ciWmTp2KCy+8EFdeeSVWrlxpdFidsGJElAaX//rOZOWo2FaKyeF4cnTOr9NbOfr31XdjlmMeAGBb64eoHV2HJT/+TVr3QURERMODZJEx6o7jDdv3QBx33HGdDqTNmzcP99xzDxRFgck0iLVFdMCKEVGaXP7rO/Fah8rRZJyBZ6/9Ydoe/5Wr7sUMx1wAwJaWD3BgSju+8+Nfpu3xiYiIaHiRJAmy1WTIKRdHCzAxIkqjyzomR9YSTBGnDzk5UhQFr151P45wzgYAfNq8HoF5DlxwzU3pCJmIiIhId+vXr+90ed26dZg8eXLWVIsAJkZEaaclR8FYh+RokHOOYrEY1ix9GIc5jwQAfNy0FqaFY3H2JZelMWIiIiIifdXW1mLZsmXYtm0bnnnmGdx///24+uqrjQ6rEyZGRDq47Nd34g319VRyhDPwj2UDqxyF29vxztLHMcUVb2+5uekdlH77WJx2zjf0CJmIiIhINxdffDGCwSDmzJmDK664AldffTUuvfRSo8PqhIkRkU6+/+u78HqH5GgqTsff+5kctdbXY/0Nf8Yk9zQAwKamNai84kzMOekUPUMmIiIi0oXFYsGDDz6I1tZWNDU14ec//3nWzVNiYkSko8t+fVenytE0nI6/9pEcNezahY9v/3+Y4J4MIQQ2Nr2BGTdegBmzjs5Q1ERERET5h4kRkc6+/+u78KbyWjI5Ohxn4K89NGTY8+EGfH732xjnngBVqNjQ/BpO+OkPMHbihAxHTURERJRfmBgRZcClK+/GG8nkqBiHizPwl0MqR5//5z/Y89g2VLnGQhUqPmh+FafddT1KR5YZFDURERHR0K1evRr33nuv0WH0iYkRUYZ8f+XdHSpHxTgCZ+CZROXog788heaXmjDGVQlVKHi/5RV89d5b4C70GBw1ERERUX5gYkSUQZeuvBtvxlLJ0QxxBp744eUQ71ow2jkaiohhfcvL+PoDd8DqtBkdLhEREVHeYGJElGGX3ns33uiQHH3J+b+ocFYgpkaxrvXfOOeBn8FsNhsdJhEREVFeYWJEZIDvd0iOzLIZMTWK//r+jW/+/k4mRUREREQGYGJEZJDv33s3Xo+9imrfZqxu/3+44MG7jA6JiIiIKG/x0DSRgS679x4AwMkGx0FERESU71gxIiIiIiKivMfEiIiIiIiI8h4TIyIiIiIiynucY0RERERENAwJIRCNRg3Zt8VigSRJ/d4+EAjg8ssvx7PPPguPx4PrrrsOL774Io488kjce++9+gU6AEyMiIiIiIiGoWg0il/84heG7Hv58uWwWq393v7666/HmjVr8MILL2DEiBFYvnw5Nm7ciCOPPFK/IAeIiREREREREenG7/fj0UcfxZNPPokFCxYAAFatWoUxY8YYHFlnTIyIiIiIiIYhi8WC5cuXG7bv/qqurkYkEsHcuXOT15WUlGDq1Kl6hDZoTIyIiIiIiIYhSZIGNJyNeseudEREREREpJuJEyfCYrFg/fr1yeuam5vx+eefGxhVV6wYERERERGRbtxuNxYvXozrr78epaWlGDFiBH70ox9BlrOrRsPEiIiIiIiIdHXXXXfB7/fjrLPOgsfjwbXXXovW1lajw+oku9I0IiIiIiLKOW63G0888QQCgQD279+P66+/3uiQumBiREREREREeY+JERERERER5b2cm2MkhAAAtLW1GRwJEREREVH6RCIRqKoKRVGgKIrR4QzZ66+/DgBD/l0URYGqqvD7/YhEIp1u03ICLUfoTc4lRj6fDwBQWVlpcCREREREROkzduxY/P73v0cwGDQ6lKzT0NCA//mf/8GuXbu6vd3n86GwsLDXx5BEf9KnYURVVdTV1cHj8UCSJKPDQVtbGyorK7F7924UFBQYHU5e4muQHfg6ZAe+DtmBr0N24OuQHfg69F8kEsGBAwcwbtw42O32tD62oijYvHkzZs6cCZPJlNbH1lsoFEJNTQ1GjhzZZcFbIQR8Ph9GjRrVZ3vwnKsYybKMMWPGGB1GFwUFBfywG4yvQXbg65Ad+DpkB74O2YGvQ3bg69C3UCiE+vp6mEwm3ZIXPR9bLyaTCbIsw+12d5sw9lUp0rD5AhERERER5T0mRkRERERElPeYGOnMZrPhtttug81mMzqUvMXXIDvwdcgOfB2yA1+H7MDXITvwdcgOkiRh1KhRWTFH3yg513yBiIiIiCgXhUIh7Ny5E+PHj09784XhLF3PCytGRERERESU95gYERERERFRxhy6CGu2yLl23URERERE+UAIAVU1ZrFXWXb0ez7S/PnzMX36dJjNZjz55JOYMWMG3nzzTZ0jHDgmRkREREREw5CqBrF6zQxD9j3/5I9hMjn7vf2qVatw+eWX491339UxqqFhYkRERERERLqaPHky7rzzTqPD6BXnGOnogQcewLhx42C32zF37ly89957RoeUV37yk59AkqROp2nTphkdVs576623cNZZZyVbfj7//POdbhdC4NZbb0VFRQUcDgdOO+00fPHFF8YEm8P6eh0WLVrU5fOxcOFCY4LNUStWrMCxxx4Lj8eDESNG4Oyzz8a2bds6bRMKhXDFFVegtLQUbrcb5513Hg4cOGBQxLmpP6/D/Pnzu3weLrvsMoMizk0PPvggZs6ciYKCAhQUFGDevHn497//nbydn4XBkWUH5p/8cb9PRxz+BkaM+CuKCp9AUeETKB/5dxx15LvJ20dVPIsCz6pOpwnj/9XtY8myY0Cxzp49W6dnIX2YGOnkL3/5C5YtW4bbbrsNGzduxKxZs3DmmWfi4MGDRoeWV4444gjs27cveXrnnXeMDinnBQIBzJo1Cw888EC3t9955534zW9+g9///vdYv349XC4XzjzzTIRCoQxHmtv6eh0AYOHChZ0+H88880wGI8x9a9aswRVXXIF169bh1VdfRTQaxRlnnIFAIJDc5pprrsGLL76Iv/3tb1izZg3q6upw7rnnGhh17unP6wAAS5Ys6fR5yPYj28PNmDFj8Mtf/hIbNmzABx98gFNPPRVf//rX8emnnwLgZ2GwJEmCyeTs98luL0RV5SQcccTROOKIo1FUNAI7d+5FJBJ/HFm2o6xsDI48cm7yVFU1udvHGuh6Ry6XS6dnIY0E6WLOnDniiiuuSF5WFEWMGjVKrFixwsCo8sttt90mZs2aZXQYeQ2AeO6555KXVVUV5eXl4q677kpe19LSImw2m3jmmWcMiDA/HPo6CCHEJZdcIr7+9a8bEk++OnjwoAAg1qxZI4SIv/ctFov429/+ltxmy5YtAoBYu3atUWHmvENfByGEOPnkk8XVV19tXFB5qri4WPzhD3/gZ2EAgsGg+Oyzz0QwGEzbY27cuFEcPHhQCCHE1q1bxa5du9L22Bq9P2Ppel5YMdJBJBLBhg0bcNpppyWvk2UZp512GtauXWtgZPnniy++wKhRozBhwgRceOGFqK2tNTqkvLZz507s37+/02ejsLAQc+fO5WfDAKtXr8aIESMwdepUXH755WhsbDQ6pJzW2toKACgpKQEAbNiwAdFotNPnYdq0aaiqquLnQUeHvg6ap556Cl6vF9OnT8fNN9+M9vZ2I8LLC4qi4M9//jMCgQDmzZvHz4JBhBBoamqCqqpwu93J65uamrBp0yZ8+umn2LNnDxRFMTDKzGLzBR00NDRAURSMHDmy0/UjR47E1q1bDYoq/8ydOxd//OMfMXXqVOzbtw+33347vvSlL+GTTz6Bx+MxOry8tH//fgDo9rOh3UaZsXDhQpx77rkYP348qqursXz5cnz5y1/G2rVrYTKZjA4v56iqiqVLl+KEE07A9OnTAcQ/D1arFUVFRZ225edBP929DgBwwQUXYOzYsRg1ahQ2b96MG2+8Edu2bcOzzz5rYLS55+OPP8a8efMQCoXgdrvx3HPP4fDDD8emTZv4Wcig9vZ2bN26FaqqwmQyYdKkSXA44vOFSkpKYLVaYbFYEAwGsWfPHoRCIUyaNMngqDODiRHlrC9/+cvJ8zNnzsTcuXMxduxY/PWvf8XixYsNjIzIeP/3f/+XPD9jxgzMnDkTEydOxOrVq7FgwQIDI8tNV1xxBT755BPOczRYT6/DpZdemjw/Y8YMVFRUYMGCBaiursbEiRMzHWbOmjp1KjZt2oTW1lb8/e9/xyWXXII1a9YYHVbesdvtOPzww6EoCpqbm7Fz505MnToVDocDZWVlye2cTicsFgs+//xzhEIh2O32Qe9z9erVaYhcfxxKpwOv1wuTydSlm8qBAwdQXl5uUFRUVFSEKVOmYPv27UaHkre09z8/G9lnwoQJ8Hq9/Hzo4Ic//CFeeuklvPnmmxgzZkzy+vLyckQiEbS0tHTanp8HffT0OnRn7ty5AMDPQ5pZrVZMmjQJs2fPxooVKzBr1izcd999/CxkmCzLsNvtcLlcGDNmDBwOR4/NwbSGCeFwOJMhGoaJkQ6sVitmz56N119/PXmdqqp4/fXXMW/ePAMjy29+vx/V1dWoqKgwOpS8NX78eJSXl3f6bLS1tWH9+vX8bBhsz549aGxs5OcjjYQQ+OEPf4jnnnsOb7zxBsaPH9/p9tmzZ8NisXT6PGzbtg21tbX8PKRRX69DdzZt2gQA/DzoTFVVhMNhfhaygKqq3V4fDAYBABaLJZPhGIZD6XSybNkyXHLJJTjmmGMwZ84c3HvvvQgEAvjOd75jdGh547rrrsNZZ52FsWPHoq6uDrfddhtMJhO+9a1vGR1aTvP7/Z2Osu7cuRObNm1CSUkJqqqqsHTpUvzsZz/D5MmTMX78eNxyyy0YNWoUzj77bOOCzkG9vQ4lJSW4/fbbcd5556G8vBzV1dW44YYbMGnSJJx55pkGRp1brrjiCjz99NN44YUX4PF4knMlCgsL4XA4UFhYiMWLF2PZsmUoKSlBQUEBrrzySsybNw/HHXecwdHnjr5eh+rqajz99NP4yle+gtLSUmzevBnXXHMNTjrpJMycOdPg6HPHzTffjC9/+cuoqqqCz+fD008/jdWrV+OVV17hZyGD9uzZg8LCQlitViiKgqamJvh8PkyZMgWhUAhNTU0oLCyE2WxGMBjE7t274Xa74XQ6jQ49M9LRIo+6d//994uqqiphtVrFnDlzxLp164wOKa9885vfFBUVFcJqtYrRo0eLb37zm2L79u1Gh5Xz3nzzTQGgy+mSSy4RQsRbdt9yyy1i5MiRwmaziQULFoht27YZG3QO6u11aG9vF2eccYYoKysTFotFjB07VixZskTs37/f6LBzSnfPPwDx+OOPJ7cJBoPiBz/4gSguLhZOp1Occ845Yt++fcYFnYP6eh1qa2vFSSedJEpKSoTNZhOTJk0S119/vWhtbTU28Bzz3e9+V4wdO1ZYrVZRVlYmFixYIP7zn/8kb+dnoX+G2pZ6586d4qOPPhIffPCB+PDDD8XWrVuT7/VwOCy2bNkiPvzwQ/HBBx+IzZs3i927d4tYLJbOX0EX6WrXLQkhRCYTMSIiIiIiGrhQKISdO3di/PjxQ2qGkGvS9bxwjhEREREREeU9JkZERERERJT3mBgREREREVHeY2JERERERER5j4kRERERERHlPSZGRERERESU95gYERERERGRrv7+979jxowZcDgcKC0txWmnnYZAIGB0WJ2YjQ6AiIiIiIgGTgiBdlU1ZN9OWYYkSf3adt++ffjWt76FO++8E+eccw58Ph/efvttZNtyqkyMiIiIiIiGoXZVxcS3PjZk39UnzYDLZOrXtvv27UMsFsO5556LsWPHAgBmzJihZ3iDwqF0RERERESkm1mzZmHBggWYMWMGvvGNb+CRRx5Bc3Oz0WF1IYlsq2EREREREVEXoVAIO3fuxPjx42G324fNUDogPuzvv//9L/7zn//gueeew/79+7F+/XqMHz9+yLEc+rwMFhMjIiIiIqJhIF0JgNEURcHYsWOxbNkyLFu2bMiPl67nhXOMiIiIiIhIN+vXr8frr7+OM844AyNGjMD69etRX1+Pww47zOjQOmFiREREREREuikoKMBbb72Fe++9F21tbRg7dizuuecefPnLXzY6tE6YGBERERERkW4OO+wwvPzyy0aH0Sd2pSMiIiIiorzHxIiIiIiIiPIeEyMiIiIiIsp7TIyIiIiIiCjvMTEiIiIiIqK8x8SIiIiIiIjyHhMjIiIiIiLKe0yMiIiIiIgo7zExIiIiIiKivMfEiIiIiIiI8h4TIyIiIiIi0s38+fOxdOlSo8PoExMjIiIiIiLKe0yMiIiIiIhIF4sWLcKaNWtw3333QZIkSJKEmpoao8PqltnoAIiIiIiIaOCEEAhGFUP27bCYIElSn9vdd999+PzzzzF9+nTccccdAICysjK9wxsUJkZERERERMNQMKrg8FtfMWTfn91xJpzWvlOJwsJCWK1WOJ1OlJeXZyCyweNQOiIiIiIiynusGBERERERDUMOiwmf3XGmYfvONUyMiIiIiIiGIUmS+jWczWhWqxWKYsxcqIHgUDoiIiIiItLNuHHjsH79etTU1KChoQGqqhodUreYGBERERERkW6uu+46mEwmHH744SgrK0Ntba3RIXUr+2tvREREREQ0bE2ZMgVr1641Oow+sWJERERERER5j4kRERERERHlPSZGRERERESU95gYERERERFR3mNiREREREREeY+JERERERER5T0mRkRERERElPeYGBERERERUd5jYkRERERERHmPiREREREREeU9JkZERET0/9u7txAr6/2P499nzcGZ6WCahgmGEjUdqLRtbNqQs1IRCqPB/lLMaMmg+6r8E11YO9iYSQcIdHdRUGBtbbpJbyI7GNEaJoKibYV5URjjRR5IaJgMDzO6nn0Rzd6TljPm4zNrP68XzIWLB38f1t2b5zcKUHjCCAAAKDxhBAAAZGbmzJmxcePGEZ/Nnj071q5dm8ue31Kf9wAAAOAspGnE0JF8zm5oiUiSfM7OiDACAIBaNHQk4qnp+Zz9t/0RjRfkc3ZGXKUDAAAKzxsjAACoRQ0tP7+5yevsUSqVSpGm6YjPhoaGzvWiP0wYAQBALUqSmrjONnXq1Dhw4MDwn3/88cfo6+vLcdHpuUoHAABkZv78+bFly5bo7e2NXbt2xQMPPBB1dXV5zzqFN0YAAEBmHnvssejr64vFixfHxIkT48knnxyXb4yS9NcX/gAAgHHn2LFj0dfXF7NmzYqmpqa854wb5+p7cZUOAAAoPGEEAAAUnjACAAAKTxgBAACFJ4wAAIDCE0YAAEDhCSMAAKDwhBEAAFB4wggAACg8YQQAABSeMAIAAApPGAEAAIUnjAAAgEy89NJLMX369KhWqyM+v/vuu6OrqyunVadXn/cAAABg7NI0jaMnjuZydnN9cyRJcsbnli5dGg899FB8+OGHsWDBgoiI+OGHH+Ldd9+Nt99+O+uZYyKMAACgBh09cTT+/Pqfczn7k45PoqWh5YzPTZo0Ke644454/fXXh8No69atMWXKlLj99tuznjkmrtIBAACZ6ezsjG3btsXx48cjIqK7uzvuu+++KJXGV4p4YwQAADWoub45Pun4JLezR+uuu+6KNE1j+/btccstt0Rvb29s2LAhw3VnRxgBAEANSpJkVNfZ8tbU1BRLliyJ7u7u2LNnT7S2tsbNN9+c96xTCCMAACBTnZ2dsXjx4ti9e3csW7Ys7zmnNb4u9gEAAP9z5s+fH5MnT46vv/46Ojo68p5zWt4YAQAAmSqVSrF///68Z/wub4wAAIDCE0YAAEDhCSMAAKDwhBEAAFB4wggAACg8YQQAABSeMAIAAApPGAEAAIUnjAAAgMITRgAAQOEJIwAAoPCEEQAAUHjCCAAAyMxbb70Vl1xySZw8eTIiIr744otIkiQeffTR4WdWrlwZy5Yty2tiRETU53o6AABwVtI0jfTo0VzOTpqbI0mSUT172223xeHDh+Pzzz+PuXPnRk9PT0yZMiUqlcrwMz09PbFmzZqM1o6OMAIAgBqUHj0aX9/8p1zObt35r0haWkb17MSJE2P27NlRqVRi7ty5UalU4uGHH44nnngifvrppxgYGIg9e/ZEW1tbxqt/n6t0AABAptra2qJSqUSaptHb2xtLliyJa6+9Nj766KPo6emJ6dOnx1VXXZXrRm+MAACgBiXNzdG681+5nT0W5XI5Nm3aFF9++WU0NDTENddcE+VyOSqVSvT39+f+tihCGAEAQE1KkmTU19ny9svvGW3YsGE4gsrlcjzzzDPR398fjzzySM4LXaUDAAAyNmnSpLjxxhuju7s7yuVyRETMmzcvdu7cGd988824eGMkjAAAgMy1tbXFyZMnh8No8uTJcd1118W0adOitbU133ERkaRpmuY9AgAA+H3Hjh2Lvr6+mDVrVjQ1NeU9Z9w4V9+LN0YAAEDhCSMAAKDwhBEAAFB4wggAACg8YQQAABSeMAIAAApPGAEAAIUnjAAAgMITRgAAQOEJIwAAoPCEEQAAUHjCCAAAKDxhBAAAZOLQoUMxbdq0eOqpp4Y/+/jjj6OxsTE++OCDHJedqj7vAQAAwNilaRonBqu5nF3fWIokSc743NSpU2PTpk3R3t4eixYtitbW1li+fHk8+OCDsWDBgvOwdPSEEQAA1KATg9V46f97cjn7r/9oi4YJdaN69s4774xVq1ZFZ2dnzJ07Ny644IJ4+umnM144dq7SAQAAmXruuefixIkT8cYbb0R3d3dMmDAh70mn8MYIAABqUH1jKf76j7bczh6Lb7/9Nvbv3x/VajX27t0bN9xwQ0bLzp4wAgCAGpQkyaivs+VpcHAwli1bFvfee2+0trbGypUrY9euXXHZZZflPW0EV+kAAIDMPP744zEwMBDPP/98rFmzJq6++uro6urKe9YphBEAAJCJSqUSGzdujC1btsTFF18cpVIptmzZEr29vfHiiy/mPW8EV+kAAIBMlMvlGBoaGvHZzJkzY2BgIKdFv80bIwAAoPCEEQAAUHjCCAAAKDxhBAAAFJ4wAgAACk8YAQAAhSeMAACAwhNGAABA4QkjAACg8IQRAABQeMIIAAAoPGEEAAAUnjACAAAysXnz5rj00kvj+PHjIz5vb2+P5cuX57Tq9OrzHgAAAIxdmqZx4lfBcb7UT5gQSZKc8bmlS5fG6tWr480334ylS5dGRMT3338f27dvjx07dmQ9c0yEEQAA1KATx4/H8w/8Xy5nr/7n1mhoajrjc83NzdHR0RGvvPLKcBi99tprccUVV0S5XM545di4SgcAAGRm1apVsWPHjti3b19ERLz66quxYsWKUb1xOp+8MQIAgBpUP2FCrP7n1tzOHq05c+bETTfdFJs3b45FixbF7t27Y/v27RmuOzvCCAAAalCSJKO6zjYerFy5MjZu3Bj79u2LhQsXxowZM/KedApX6QAAgEx1dHTEd999Fy+//HJ0dXXlPee0hBEAAJCpiRMnxj333BMXXnhhtLe35z3ntIQRAACQuX379kVnZ2dMGMPvJ51PfscIAADITH9/f1QqlahUKvHCCy/kPec3CSMAACAzc+bMif7+/nj22WejtbU17zm/SRgBAACZ2bt3b94TRsXvGAEAAIUnjAAAgMITRgAAQOEJIwAAoPCEEQAAUHjCCAAAKDxhBAAAFJ4wAgAACk8YAQAAhSeMAACAzOzduzeSJDnlp1wu5z1thPq8BwAAAGOXpmmkQ9Vczk4aSpEkyaienTFjRhw4cGD4zwcPHoyFCxfGvHnzspp3VoQRAADUoHSoGvv//nEuZ09f95dIGutG9WxdXV1MmzYtIiKOHTsW7e3tceutt8batWszXDh2wggAADgvurq64vDhw/H+++9HqTS+fqtHGAEAQA1KGkoxfd1fcjt7rNavXx/vvfdefPrpp3HRRRdlsOqPEUYAAFCDkiQZ9XW2vG3bti3WrVsX77zzTlx55ZV5zzktYQQAAGTmq6++ivvvvz/WrFkT119/fRw8eDAiIhobG2Py5Mk5r/uP8XWxDwAA+J/y2WefxZEjR2L9+vVx+eWXD/8sWbIk72kjCCMAACAzK1as+PmfFv/VT6VSyXvaCMIIAAAoPGEEAAAUnjACAAAKTxgBAACFJ4wAAKCGpGma94Rx5Vx9H8IIAABqQF3dz/+Z6+DgYM5Lxpdfvo9fvp+z5T94BQCAGlBfXx8tLS1x6NChaGhoiFLJO45qtRqHDh2KlpaWqK//Y2mTpN7FAQBATRgcHIy+vr6oVqt5Txk3SqVSzJo1KxobG//Q3yOMAACghlSrVdfp/ktjY+M5eXsmjAAAgMJzMREAACg8YQQAABSeMAIAAApPGAEAAIUnjAAAgMITRgAAQOEJIwAAoPD+DX8qiz3OWsZqAAAAAElFTkSuQmCC",
            "text/plain": [
              "<Figure size 1000x500 with 1 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "plt.figure(figsize=(10,5),dpi=100)\n",
        "plt.plot(out[0].cpu().detach().numpy())\n",
        "plt.legend(char_list)\n",
        "\n",
        "plt.show()"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 43,
      "metadata": {
        "id": "sFYLFHHz3nX1"
      },
      "outputs": [],
      "source": [
        "??torch.exp"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 44,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 542
        },
        "id": "ybKmffLE2Vdj",
        "outputId": "9eb16b0d-1b3c-4a6e-dad4-c64d3a23782b"
      },
      "outputs": [
        {
          "data": {
            "text/html": [
              "<html>\n",
              "<head><meta charset=\"utf-8\" /></head>\n",
              "<body>\n",
              "    <div>            <script src=\"https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.5/MathJax.js?config=TeX-AMS-MML_SVG\"></script><script type=\"text/javascript\">if (window.MathJax && window.MathJax.Hub && window.MathJax.Hub.Config) {window.MathJax.Hub.Config({SVG: {font: \"STIX-Web\"}});}</script>                <script type=\"text/javascript\">window.PlotlyConfig = {MathJaxConfig: 'local'};</script>\n",
              "        <script src=\"https://cdn.plot.ly/plotly-2.18.2.min.js\"></script>                <div id=\"f782c712-b74c-4912-bd2c-004dd23c20bc\" class=\"plotly-graph-div\" style=\"height:525px; width:100%;\"></div>            <script type=\"text/javascript\">                                    window.PLOTLYENV=window.PLOTLYENV || {};                                    if (document.getElementById(\"f782c712-b74c-4912-bd2c-004dd23c20bc\")) {                    Plotly.newPlot(                        \"f782c712-b74c-4912-bd2c-004dd23c20bc\",                        [{\"name\":\"blk\",\"y\":[0.18480773270130157,0.18579469621181488,0.18568266928195953,0.1856500655412674,0.18563346564769745,0.185617133975029,0.18550975620746613,0.1629120260477066,0.18428462743759155,0.18553607165813446,0.18557383120059967,0.18554861843585968,0.18552716076374054,0.18556472659111023,0.18566448986530304,0.18420013785362244,0.18082015216350555,0.1856941282749176,0.18564756214618683,0.18563145399093628,0.1856367141008377,0.1856648176908493,0.18568924069404602,0.1857481747865677,0.18578672409057617,0.18926991522312164,0.2186127007007599,0.22098106145858765,0.2210754156112671,0.2210819125175476,0.22108452022075653,0.22107279300689697,0.2210635095834732,0.2210703045129776,0.2210567593574524,0.22108027338981628,0.22107671201229095],\"type\":\"scatter\"},{\"name\":\"a\",\"y\":[0.02535777911543846,0.02515893056988716,0.025143682956695557,0.02514021098613739,0.025140032172203064,0.025140248239040375,0.02512500435113907,0.022079581394791603,0.024962594732642174,0.02512703463435173,0.025135284289717674,0.025133008137345314,0.025132576003670692,0.025142094120383263,0.025141362100839615,0.02496769092977047,0.024502092972397804,0.025155512616038322,0.02514621801674366,0.025145091116428375,0.02514863945543766,0.025148844346404076,0.025146085768938065,0.025150487199425697,0.025156063959002495,0.025629494339227676,0.029599888250231743,0.029917044565081596,0.02992761693894863,0.02992865815758705,0.029928764328360558,0.029926452785730362,0.029925446957349777,0.02992633916437626,0.02992313541471958,0.029926616698503494,0.02992674522101879],\"type\":\"scatter\"},{\"name\":\"b\",\"y\":[0.02530926652252674,0.025153551250696182,0.02513924054801464,0.025135651230812073,0.025134924799203873,0.025133775547146797,0.025120463222265244,0.0220881849527359,0.024952871724963188,0.025119714438915253,0.025125158950686455,0.025125566869974136,0.02512545883655548,0.025126848369836807,0.025135237723588943,0.024954931810498238,0.024490399286150932,0.025150666013360023,0.02514536678791046,0.02514590695500374,0.02514457516372204,0.025144845247268677,0.025146374478936195,0.025149425491690636,0.02515512891113758,0.025630202144384384,0.029598066583275795,0.029913634061813354,0.029925411567091942,0.029926467686891556,0.029926946386694908,0.02992478385567665,0.029926646500825882,0.02992742322385311,0.029922951012849808,0.029925689101219177,0.02992509864270687],\"type\":\"scatter\"},{\"name\":\"c\",\"y\":[0.025241483002901077,0.025182971730828285,0.025178583338856697,0.025181230157613754,0.025178397074341774,0.025180581957101822,0.025164535269141197,0.022107083350419998,0.024971887469291687,0.025128070265054703,0.025133954361081123,0.02513430267572403,0.025134924799203873,0.02513701096177101,0.025141313672065735,0.02497425116598606,0.024516748264431953,0.025168146938085556,0.02516140230000019,0.02516377903521061,0.02516554296016693,0.02515857107937336,0.02515649050474167,0.025157252326607704,0.025164689868688583,0.025630826130509377,0.029595497995615005,0.029917685315012932,0.029929144307971,0.029930641874670982,0.029930870980024338,0.02992844395339489,0.029930341988801956,0.029932454228401184,0.029927203431725502,0.029930392280220985,0.029930029064416885],\"type\":\"scatter\"},{\"name\":\"d\",\"y\":[0.025410819798707962,0.025148309767246246,0.025133108720183372,0.02512887865304947,0.025127220898866653,0.025125596672296524,0.025111965835094452,0.02206006459891796,0.02496223896741867,0.025135111063718796,0.025143299251794815,0.02514733374118805,0.02514122985303402,0.02515607699751854,0.02516230195760727,0.024999218061566353,0.024535201489925385,0.02517286315560341,0.025153029710054398,0.02515174075961113,0.02515139803290367,0.025150811299681664,0.02515214867889881,0.02515704184770584,0.02516382560133934,0.025631437078118324,0.029597967863082886,0.02991868369281292,0.02992912195622921,0.029930341988801956,0.029930563643574715,0.029927922412753105,0.02992798015475273,0.029927602037787437,0.029925305396318436,0.02992890775203705,0.02992810122668743],\"type\":\"scatter\"},{\"name\":\"e\",\"y\":[0.02546731010079384,0.02524608187377453,0.02526024356484413,0.025248399004340172,0.025313688442111015,0.025429170578718185,0.02610146440565586,0.14633138477802277,0.1838456690311432,0.1854103058576584,0.1854609102010727,0.1855078935623169,0.18550501763820648,0.18550683557987213,0.18517979979515076,0.18268609046936035,0.08819491416215897,0.025686826556921005,0.02526143006980419,0.025236502289772034,0.025233564898371696,0.025234540924429893,0.025217603892087936,0.025217970833182335,0.025200065225362778,0.025647684931755066,0.029619427397847176,0.030013127252459526,0.030096570029854774,0.030127663165330887,0.030136089771986008,0.03012298047542572,0.030226152390241623,0.030149176716804504,0.03026459366083145,0.030145835131406784,0.030094102025032043],\"type\":\"scatter\"},{\"name\":\"f\",\"y\":[0.025516929104924202,0.025157803669571877,0.02514362893998623,0.025141481310129166,0.02513892948627472,0.02513803541660309,0.025123625993728638,0.022089606150984764,0.024975180625915527,0.025132708251476288,0.02513791061937809,0.02513774111866951,0.02514059469103813,0.025144023820757866,0.02515338361263275,0.024997733533382416,0.024504078552126884,0.025151146575808525,0.025139156728982925,0.02513769455254078,0.025137705728411674,0.02513967826962471,0.02514043264091015,0.025146612897515297,0.025151416659355164,0.025619730353355408,0.02959115244448185,0.029913727194070816,0.02992813102900982,0.02992979995906353,0.02993011474609375,0.029928509145975113,0.029932504519820213,0.02992764487862587,0.02992813102900982,0.02992885746061802,0.029928194358944893],\"type\":\"scatter\"},{\"name\":\"g\",\"y\":[0.02542213909327984,0.025165950879454613,0.025152035057544708,0.025151289999485016,0.025147555395960808,0.025148184970021248,0.025135057047009468,0.02210810035467148,0.024971773847937584,0.025130730122327805,0.025135159492492676,0.02513645403087139,0.025139611214399338,0.02513778954744339,0.025144610553979874,0.024966107681393623,0.024493273347616196,0.02515287883579731,0.025147201493382454,0.025147633627057076,0.025146877393126488,0.025146925821900368,0.025145690888166428,0.025151627138257027,0.025157006457448006,0.025631645694375038,0.029612507671117783,0.0299319326877594,0.02994442544877529,0.02994665876030922,0.02994658052921295,0.029944410547614098,0.029933160170912743,0.029940791428089142,0.029936030507087708,0.02994633838534355,0.02994590252637863],\"type\":\"scatter\"},{\"name\":\"h\",\"y\":[0.025291025638580322,0.025153545662760735,0.02513880841434002,0.025134703144431114,0.025134678930044174,0.02513342723250389,0.025122961029410362,0.022096559405326843,0.024990417063236237,0.025166261941194534,0.025184305384755135,0.02519143931567669,0.025186244398355484,0.025177400559186935,0.025179345160722733,0.02497401274740696,0.024509675800800323,0.025151902809739113,0.02514009177684784,0.02514023520052433,0.025141218677163124,0.025141553953289986,0.025140175595879555,0.02514643967151642,0.02515082247555256,0.025619560852646828,0.02958976849913597,0.0299090426415205,0.02992154471576214,0.029922351241111755,0.029922636225819588,0.02992105297744274,0.029920652508735657,0.029921038076281548,0.02991924062371254,0.029922043904662132,0.02992153726518154],\"type\":\"scatter\"},{\"name\":\"i\",\"y\":[0.025785284116864204,0.025164149701595306,0.025156760588288307,0.025157738476991653,0.025158841162919998,0.025160742923617363,0.025143640115857124,0.02208944410085678,0.024971678853034973,0.025135476142168045,0.025138232856988907,0.025139180943369865,0.025140954181551933,0.02513791061937809,0.02514459937810898,0.02497647888958454,0.02450980432331562,0.02515963837504387,0.02515004388988018,0.025149120017886162,0.025151589885354042,0.02515213005244732,0.02514975517988205,0.025156045332551003,0.0251589547842741,0.025622699409723282,0.029591010883450508,0.02991211600601673,0.029925091192126274,0.029925746843218803,0.029926104471087456,0.02992478385567665,0.029921673238277435,0.02992481179535389,0.029921473935246468,0.029925404116511345,0.02992486208677292],\"type\":\"scatter\"},{\"name\":\"j\",\"y\":[0.02537343092262745,0.025160370394587517,0.02514721266925335,0.025146236643195152,0.025144048035144806,0.025141902267932892,0.02512589655816555,0.022075248882174492,0.024952396750450134,0.02512934058904648,0.025137634947896004,0.025139443576335907,0.02514263242483139,0.025145312771201134,0.02515273541212082,0.02496764250099659,0.02449716255068779,0.02515372447669506,0.02514263242483139,0.025142332538962364,0.02514222450554371,0.025142310187220573,0.025142351165413857,0.0251480583101511,0.02515229769051075,0.025622211396694183,0.029592365026474,0.029910381883382797,0.02992265857756138,0.029923707246780396,0.029923927038908005,0.02992243692278862,0.029921138659119606,0.029922444373369217,0.02992059662938118,0.0299235712736845,0.029923463240265846],\"type\":\"scatter\"},{\"name\":\"k\",\"y\":[0.02532646805047989,0.02516651526093483,0.02515319734811783,0.025152046233415604,0.02515248954296112,0.025146696716547012,0.02513003535568714,0.022073781117796898,0.024955442175269127,0.02512042224407196,0.02512536384165287,0.025124572217464447,0.025124896317720413,0.025127340108156204,0.025137651711702347,0.024959078058600426,0.024501116946339607,0.025163142010569572,0.025152310729026794,0.02515113539993763,0.025149179622530937,0.025150690227746964,0.02515384554862976,0.025158006697893143,0.025162015110254288,0.02563416212797165,0.029605885967612267,0.02991851232945919,0.02993047796189785,0.02993077039718628,0.02993091382086277,0.029929528012871742,0.029930034652352333,0.029930327087640762,0.029924919828772545,0.029928116127848625,0.029929356649518013],\"type\":\"scatter\"},{\"name\":\"l\",\"y\":[0.025409389287233353,0.025158822536468506,0.025145534425973892,0.025143424049019814,0.02514045685529709,0.025136705487966537,0.0251216609030962,0.02207805961370468,0.024985995143651962,0.025140978395938873,0.02515712007880211,0.02515079826116562,0.02515099011361599,0.025153689086437225,0.02514529414474964,0.02497461996972561,0.024519728496670723,0.025173068046569824,0.02515151910483837,0.025152932852506638,0.025152478367090225,0.025151170790195465,0.02514863945543766,0.025152970105409622,0.025159507989883423,0.025641925632953644,0.02964756079018116,0.029966771602630615,0.029984567314386368,0.02998827025294304,0.029989665374159813,0.029981529340147972,0.02996211312711239,0.029959870502352715,0.029951222240924835,0.02996436506509781,0.02996912971138954],\"type\":\"scatter\"},{\"name\":\"m\",\"y\":[0.025265591219067574,0.025187283754348755,0.025186682119965553,0.025201406329870224,0.025211255997419357,0.02519957348704338,0.025179268792271614,0.022155173122882843,0.024961000308394432,0.025124069303274155,0.025130119174718857,0.025130875408649445,0.025136243551969528,0.025135308504104614,0.02514066733419895,0.024961184710264206,0.024498481303453445,0.025152537971735,0.025144707411527634,0.025145607069134712,0.02514650486409664,0.02514541521668434,0.02514408342540264,0.0251489095389843,0.025153635069727898,0.025627758353948593,0.029600156471133232,0.029924441128969193,0.029937950894236565,0.02993878535926342,0.02993866428732872,0.029936693608760834,0.029941262677311897,0.029940905049443245,0.02993014268577099,0.029932918027043343,0.029935024678707123],\"type\":\"scatter\"},{\"name\":\"n\",\"y\":[0.025107553228735924,0.025146745145320892,0.025131581351161003,0.025127394124865532,0.025125255808234215,0.02512291818857193,0.02510850504040718,0.022056883201003075,0.024963000789284706,0.025138407945632935,0.025145331397652626,0.02514633722603321,0.025159183889627457,0.02515398897230625,0.02516067773103714,0.025024615228176117,0.02453010156750679,0.02515319734811783,0.02513701096177101,0.025135524570941925,0.025135919451713562,0.025137489661574364,0.025138922035694122,0.02514480985701084,0.025149598717689514,0.025619681924581528,0.029591307044029236,0.029915088787674904,0.029929479584097862,0.02993112802505493,0.02993146888911724,0.029929114505648613,0.0299293864518404,0.0299278162419796,0.029926104471087456,0.029929885640740395,0.029929058626294136],\"type\":\"scatter\"},{\"name\":\"o\",\"y\":[0.025437477976083755,0.025169502943754196,0.025161948055028915,0.02516488917171955,0.02516527846455574,0.025163087993860245,0.025145791471004486,0.02210742048919201,0.024968070909380913,0.025137370452284813,0.02514776401221752,0.025148531422019005,0.02514852024614811,0.025150930508971214,0.02515488862991333,0.024967988952994347,0.024496911093592644,0.025149252265691757,0.025137189775705338,0.02513648383319378,0.025137143209576607,0.025138329714536667,0.025137891992926598,0.025144726037979126,0.02514966018497944,0.02562178298830986,0.02959706448018551,0.029919182881712914,0.029932726174592972,0.029933923855423927,0.029934052377939224,0.029932668432593346,0.029926404356956482,0.029931534081697464,0.029926739633083344,0.029931755736470222,0.029932711273431778],\"type\":\"scatter\"},{\"name\":\"p\",\"y\":[0.025463618338108063,0.02520032972097397,0.02518751099705696,0.025188280269503593,0.025183560326695442,0.025181975215673447,0.02517041563987732,0.02213846705853939,0.0249805748462677,0.025143099948763847,0.025147344917058945,0.02515244111418724,0.02514377236366272,0.025160010904073715,0.025172287598252296,0.024983173236250877,0.02452247589826584,0.025176992639899254,0.025177497416734695,0.025180943310260773,0.02518329583108425,0.02517598494887352,0.025169311091303825,0.02517450787127018,0.025180257856845856,0.025639455765485764,0.029612720012664795,0.029927166178822517,0.02993939258158207,0.02993989922106266,0.029940249398350716,0.029938478022813797,0.029935745522379875,0.029935995116829872,0.02993013523519039,0.029935836791992188,0.0299383495002985],\"type\":\"scatter\"},{\"name\":\"q\",\"y\":[0.025543419644236565,0.025165710598230362,0.02515139803290367,0.02514854446053505,0.025148088112473488,0.02514699660241604,0.025130994617938995,0.022095510736107826,0.024975048378109932,0.02513512223958969,0.025136075913906097,0.025136034935712814,0.02513575181365013,0.025140918791294098,0.02515455335378647,0.025028638541698456,0.024507181718945503,0.02515382133424282,0.025138581171631813,0.025137513875961304,0.025136951357126236,0.025139251723885536,0.02513890527188778,0.025145577266812325,0.02515018731355667,0.025621147826313972,0.029594969004392624,0.02991597354412079,0.029930341988801956,0.029930220916867256,0.029930727556347847,0.02993021346628666,0.029926147311925888,0.029935017228126526,0.029926225543022156,0.02993033453822136,0.02993074245750904],\"type\":\"scatter\"},{\"name\":\"r\",\"y\":[0.025128250941634178,0.025173919275403023,0.025159375742077827,0.025155847892165184,0.025157779455184937,0.025158625096082687,0.025140780955553055,0.022099293768405914,0.024993013590574265,0.025147050619125366,0.025152429938316345,0.025155561044812202,0.025171363726258278,0.02519354224205017,0.025182342156767845,0.025020547211170197,0.024520687758922577,0.02515973523259163,0.025157876312732697,0.025156334042549133,0.025158211588859558,0.025156795978546143,0.02515457756817341,0.025156477466225624,0.02516043186187744,0.025629127398133278,0.02959727682173252,0.029920710250735283,0.02993174083530903,0.02993321791291237,0.02993362583220005,0.029930606484413147,0.029938677325844765,0.029935751110315323,0.029932769015431404,0.029932726174592972,0.029931098222732544],\"type\":\"scatter\"},{\"name\":\"s\",\"y\":[0.18129241466522217,0.1849932223558426,0.18538613617420197,0.18545572459697723,0.18543650209903717,0.1853729635477066,0.1851782500743866,0.16049917042255402,0.032528236508369446,0.025688111782073975,0.025426842272281647,0.025337111204862595,0.025334814563393593,0.025235598906874657,0.02522161975502968,0.02496023289859295,0.024489272385835648,0.02514498308300972,0.02513468638062477,0.02513323538005352,0.025133691728115082,0.02513674646615982,0.02513900026679039,0.025149179622530937,0.02515367791056633,0.02562599815428257,0.02963908016681671,0.03003084287047386,0.03019055165350437,0.03015640191733837,0.0301460362970829,0.030267992988228798,0.030077682808041573,0.030205203220248222,0.030211051926016808,0.030185125768184662,0.03025950863957405],\"type\":\"scatter\"},{\"name\":\"t\",\"y\":[0.025453129783272743,0.025181591510772705,0.02515897899866104,0.025151511654257774,0.025145407766103745,0.025141818448901176,0.025128154084086418,0.02205667831003666,0.024956179782748222,0.02515397034585476,0.02515983022749424,0.025159891694784164,0.025144502520561218,0.025148555636405945,0.025331728160381317,0.033471766859292984,0.14270827174186707,0.18473947048187256,0.18549604713916779,0.1855373978614807,0.18553470075130463,0.18551231920719147,0.18553593754768372,0.1853635460138321,0.1852254569530487,0.17001000046730042,0.04130670800805092,0.030794354155659676,0.030158868059515953,0.030130134895443916,0.03012119233608246,0.03007299266755581,0.03018154203891754,0.030104750767350197,0.03010465018451214,0.030140193179249763,0.03011411242187023],\"type\":\"scatter\"},{\"name\":\"u\",\"y\":[0.025287756696343422,0.025174099951982498,0.02516571618616581,0.025169886648654938,0.02516680769622326,0.025164857506752014,0.0251429695636034,0.022080808877944946,0.02494693547487259,0.02511725388467312,0.02512204460799694,0.025121260434389114,0.025119541212916374,0.025122931227087975,0.02513444609940052,0.02495659701526165,0.02449113503098488,0.02514827996492386,0.02513935975730419,0.025138892233371735,0.02513909712433815,0.025141337886452675,0.02514166757464409,0.02514772303402424,0.025152213871479034,0.02562318928539753,0.029597487300634384,0.029917556792497635,0.029931019991636276,0.029931597411632538,0.029931768774986267,0.02993057109415531,0.029927458614110947,0.02993318997323513,0.02992502599954605,0.029930071905255318,0.029931969940662384],\"type\":\"scatter\"},{\"name\":\"v\",\"y\":[0.025168171152472496,0.025152189657092094,0.025138461962342262,0.025135548785328865,0.02513483539223671,0.025135710835456848,0.025124458596110344,0.02213646098971367,0.02497919462621212,0.025174442678689957,0.025180017575621605,0.02520751766860485,0.025197254493832588,0.02519001066684723,0.025174928829073906,0.024981742724776268,0.024512773379683495,0.025164054706692696,0.025145234540104866,0.025146350264549255,0.02514461800456047,0.02514403499662876,0.025142980739474297,0.02514880895614624,0.02515389397740364,0.025623835623264313,0.029598208144307137,0.02991827018558979,0.02993122674524784,0.029932403936982155,0.029933081939816475,0.029931433498859406,0.029933026060461998,0.029938306659460068,0.02992873638868332,0.029931940138339996,0.029932282865047455],\"type\":\"scatter\"},{\"name\":\"w\",\"y\":[0.025352085009217262,0.025182396173477173,0.025181110948324203,0.02518417313694954,0.025182947516441345,0.025187402963638306,0.025162817910313606,0.022121861577033997,0.024968940764665604,0.02514018677175045,0.025145355612039566,0.025155140087008476,0.025152165442705154,0.02514885552227497,0.025157852098345757,0.0250108502805233,0.02451489493250847,0.02516147494316101,0.025144264101982117,0.025144372135400772,0.02514241635799408,0.025143951177597046,0.02514408342540264,0.02515011467039585,0.02515486441552639,0.025622699409723282,0.02959432639181614,0.02991948276758194,0.029935266822576523,0.029935544356703758,0.02993580885231495,0.02993525192141533,0.029935408383607864,0.029940176755189896,0.02993278205394745,0.02993473783135414,0.029934952035546303],\"type\":\"scatter\"},{\"name\":\"x\",\"y\":[0.025213658809661865,0.025153664872050285,0.02513689175248146,0.025132834911346436,0.02513028122484684,0.025129185989499092,0.02511683478951454,0.02211149036884308,0.024979230016469955,0.02515011467039585,0.025167690590023994,0.02516884170472622,0.0251675583422184,0.0251675583422184,0.025166623294353485,0.02500550076365471,0.02452833577990532,0.025179633870720863,0.025169095024466515,0.025171590968966484,0.02517193928360939,0.025168363004922867,0.025160640478134155,0.025161977857351303,0.02516501396894455,0.025629505515098572,0.029604559764266014,0.029930412769317627,0.029943939298391342,0.029943717643618584,0.029943760484457016,0.029941318556666374,0.02994643896818161,0.02994111180305481,0.02993800677359104,0.02993907779455185,0.029941504821181297],\"type\":\"scatter\"},{\"name\":\"y\",\"y\":[0.025207407772541046,0.025145823135972023,0.025130635127425194,0.025126315653324127,0.025124218314886093,0.025122331455349922,0.02510816417634487,0.02206067554652691,0.02497338131070137,0.02516770176589489,0.02517828904092312,0.02519204653799534,0.025199975818395615,0.02521422505378723,0.025200599804520607,0.025011470541357994,0.024546530097723007,0.025172635912895203,0.025156471878290176,0.025155188515782356,0.02515512891113758,0.025155847892165184,0.02515256218612194,0.025154966861009598,0.025159111246466637,0.025630014017224312,0.02959940768778324,0.029916873201727867,0.029928186908364296,0.029929600656032562,0.029930120334029198,0.02992759458720684,0.029930349439382553,0.029927680268883705,0.029925832524895668,0.02992827259004116,0.029928045347332954],\"type\":\"scatter\"},{\"name\":\"z\",\"y\":[0.02536044456064701,0.025161923840641975,0.02514887973666191,0.02514636144042015,0.025143099948763847,0.02514040842652321,0.025126537308096886,0.022090991958975792,0.025044474750757217,0.02517091855406761,0.025172755122184753,0.02517205849289894,0.02519707940518856,0.025180522352457047,0.02516471967101097,0.025017743930220604,0.024538688361644745,0.025210317224264145,0.025184065103530884,0.02518501877784729,0.025178661569952965,0.025177232921123505,0.025170570239424706,0.025168560445308685,0.025173546746373177,0.0256443340331316,0.029612889513373375,0.029925860464572906,0.029939185827970505,0.02994040586054325,0.02994178980588913,0.029939420521259308,0.029949044808745384,0.02994239702820778,0.029940249398350716,0.02994069829583168,0.02993747964501381],\"type\":\"scatter\"}],                        {\"template\":{\"data\":{\"histogram2dcontour\":[{\"type\":\"histogram2dcontour\",\"colorbar\":{\"outlinewidth\":0,\"ticks\":\"\"},\"colorscale\":[[0.0,\"#0d0887\"],[0.1111111111111111,\"#46039f\"],[0.2222222222222222,\"#7201a8\"],[0.3333333333333333,\"#9c179e\"],[0.4444444444444444,\"#bd3786\"],[0.5555555555555556,\"#d8576b\"],[0.6666666666666666,\"#ed7953\"],[0.7777777777777778,\"#fb9f3a\"],[0.8888888888888888,\"#fdca26\"],[1.0,\"#f0f921\"]]}],\"choropleth\":[{\"type\":\"choropleth\",\"colorbar\":{\"outlinewidth\":0,\"ticks\":\"\"}}],\"histogram2d\":[{\"type\":\"histogram2d\",\"colorbar\":{\"outlinewidth\":0,\"ticks\":\"\"},\"colorscale\":[[0.0,\"#0d0887\"],[0.1111111111111111,\"#46039f\"],[0.2222222222222222,\"#7201a8\"],[0.3333333333333333,\"#9c179e\"],[0.4444444444444444,\"#bd3786\"],[0.5555555555555556,\"#d8576b\"],[0.6666666666666666,\"#ed7953\"],[0.7777777777777778,\"#fb9f3a\"],[0.8888888888888888,\"#fdca26\"],[1.0,\"#f0f921\"]]}],\"heatmap\":[{\"type\":\"heatmap\",\"colorbar\":{\"outlinewidth\":0,\"ticks\":\"\"},\"colorscale\":[[0.0,\"#0d0887\"],[0.1111111111111111,\"#46039f\"],[0.2222222222222222,\"#7201a8\"],[0.3333333333333333,\"#9c179e\"],[0.4444444444444444,\"#bd3786\"],[0.5555555555555556,\"#d8576b\"],[0.6666666666666666,\"#ed7953\"],[0.7777777777777778,\"#fb9f3a\"],[0.8888888888888888,\"#fdca26\"],[1.0,\"#f0f921\"]]}],\"heatmapgl\":[{\"type\":\"heatmapgl\",\"colorbar\":{\"outlinewidth\":0,\"ticks\":\"\"},\"colorscale\":[[0.0,\"#0d0887\"],[0.1111111111111111,\"#46039f\"],[0.2222222222222222,\"#7201a8\"],[0.3333333333333333,\"#9c179e\"],[0.4444444444444444,\"#bd3786\"],[0.5555555555555556,\"#d8576b\"],[0.6666666666666666,\"#ed7953\"],[0.7777777777777778,\"#fb9f3a\"],[0.8888888888888888,\"#fdca26\"],[1.0,\"#f0f921\"]]}],\"contourcarpet\":[{\"type\":\"contourcarpet\",\"colorbar\":{\"outlinewidth\":0,\"ticks\":\"\"}}],\"contour\":[{\"type\":\"contour\",\"colorbar\":{\"outlinewidth\":0,\"ticks\":\"\"},\"colorscale\":[[0.0,\"#0d0887\"],[0.1111111111111111,\"#46039f\"],[0.2222222222222222,\"#7201a8\"],[0.3333333333333333,\"#9c179e\"],[0.4444444444444444,\"#bd3786\"],[0.5555555555555556,\"#d8576b\"],[0.6666666666666666,\"#ed7953\"],[0.7777777777777778,\"#fb9f3a\"],[0.8888888888888888,\"#fdca26\"],[1.0,\"#f0f921\"]]}],\"surface\":[{\"type\":\"surface\",\"colorbar\":{\"outlinewidth\":0,\"ticks\":\"\"},\"colorscale\":[[0.0,\"#0d0887\"],[0.1111111111111111,\"#46039f\"],[0.2222222222222222,\"#7201a8\"],[0.3333333333333333,\"#9c179e\"],[0.4444444444444444,\"#bd3786\"],[0.5555555555555556,\"#d8576b\"],[0.6666666666666666,\"#ed7953\"],[0.7777777777777778,\"#fb9f3a\"],[0.8888888888888888,\"#fdca26\"],[1.0,\"#f0f921\"]]}],\"mesh3d\":[{\"type\":\"mesh3d\",\"colorbar\":{\"outlinewidth\":0,\"ticks\":\"\"}}],\"scatter\":[{\"fillpattern\":{\"fillmode\":\"overlay\",\"size\":10,\"solidity\":0.2},\"type\":\"scatter\"}],\"parcoords\":[{\"type\":\"parcoords\",\"line\":{\"colorbar\":{\"outlinewidth\":0,\"ticks\":\"\"}}}],\"scatterpolargl\":[{\"type\":\"scatterpolargl\",\"marker\":{\"colorbar\":{\"outlinewidth\":0,\"ticks\":\"\"}}}],\"bar\":[{\"error_x\":{\"color\":\"#2a3f5f\"},\"error_y\":{\"color\":\"#2a3f5f\"},\"marker\":{\"line\":{\"color\":\"#E5ECF6\",\"width\":0.5},\"pattern\":{\"fillmode\":\"overlay\",\"size\":10,\"solidity\":0.2}},\"type\":\"bar\"}],\"scattergeo\":[{\"type\":\"scattergeo\",\"marker\":{\"colorbar\":{\"outlinewidth\":0,\"ticks\":\"\"}}}],\"scatterpolar\":[{\"type\":\"scatterpolar\",\"marker\":{\"colorbar\":{\"outlinewidth\":0,\"ticks\":\"\"}}}],\"histogram\":[{\"marker\":{\"pattern\":{\"fillmode\":\"overlay\",\"size\":10,\"solidity\":0.2}},\"type\":\"histogram\"}],\"scattergl\":[{\"type\":\"scattergl\",\"marker\":{\"colorbar\":{\"outlinewidth\":0,\"ticks\":\"\"}}}],\"scatter3d\":[{\"type\":\"scatter3d\",\"line\":{\"colorbar\":{\"outlinewidth\":0,\"ticks\":\"\"}},\"marker\":{\"colorbar\":{\"outlinewidth\":0,\"ticks\":\"\"}}}],\"scattermapbox\":[{\"type\":\"scattermapbox\",\"marker\":{\"colorbar\":{\"outlinewidth\":0,\"ticks\":\"\"}}}],\"scatterternary\":[{\"type\":\"scatterternary\",\"marker\":{\"colorbar\":{\"outlinewidth\":0,\"ticks\":\"\"}}}],\"scattercarpet\":[{\"type\":\"scattercarpet\",\"marker\":{\"colorbar\":{\"outlinewidth\":0,\"ticks\":\"\"}}}],\"carpet\":[{\"aaxis\":{\"endlinecolor\":\"#2a3f5f\",\"gridcolor\":\"white\",\"linecolor\":\"white\",\"minorgridcolor\":\"white\",\"startlinecolor\":\"#2a3f5f\"},\"baxis\":{\"endlinecolor\":\"#2a3f5f\",\"gridcolor\":\"white\",\"linecolor\":\"white\",\"minorgridcolor\":\"white\",\"startlinecolor\":\"#2a3f5f\"},\"type\":\"carpet\"}],\"table\":[{\"cells\":{\"fill\":{\"color\":\"#EBF0F8\"},\"line\":{\"color\":\"white\"}},\"header\":{\"fill\":{\"color\":\"#C8D4E3\"},\"line\":{\"color\":\"white\"}},\"type\":\"table\"}],\"barpolar\":[{\"marker\":{\"line\":{\"color\":\"#E5ECF6\",\"width\":0.5},\"pattern\":{\"fillmode\":\"overlay\",\"size\":10,\"solidity\":0.2}},\"type\":\"barpolar\"}],\"pie\":[{\"automargin\":true,\"type\":\"pie\"}]},\"layout\":{\"autotypenumbers\":\"strict\",\"colorway\":[\"#636efa\",\"#EF553B\",\"#00cc96\",\"#ab63fa\",\"#FFA15A\",\"#19d3f3\",\"#FF6692\",\"#B6E880\",\"#FF97FF\",\"#FECB52\"],\"font\":{\"color\":\"#2a3f5f\"},\"hovermode\":\"closest\",\"hoverlabel\":{\"align\":\"left\"},\"paper_bgcolor\":\"white\",\"plot_bgcolor\":\"#E5ECF6\",\"polar\":{\"bgcolor\":\"#E5ECF6\",\"angularaxis\":{\"gridcolor\":\"white\",\"linecolor\":\"white\",\"ticks\":\"\"},\"radialaxis\":{\"gridcolor\":\"white\",\"linecolor\":\"white\",\"ticks\":\"\"}},\"ternary\":{\"bgcolor\":\"#E5ECF6\",\"aaxis\":{\"gridcolor\":\"white\",\"linecolor\":\"white\",\"ticks\":\"\"},\"baxis\":{\"gridcolor\":\"white\",\"linecolor\":\"white\",\"ticks\":\"\"},\"caxis\":{\"gridcolor\":\"white\",\"linecolor\":\"white\",\"ticks\":\"\"}},\"coloraxis\":{\"colorbar\":{\"outlinewidth\":0,\"ticks\":\"\"}},\"colorscale\":{\"sequential\":[[0.0,\"#0d0887\"],[0.1111111111111111,\"#46039f\"],[0.2222222222222222,\"#7201a8\"],[0.3333333333333333,\"#9c179e\"],[0.4444444444444444,\"#bd3786\"],[0.5555555555555556,\"#d8576b\"],[0.6666666666666666,\"#ed7953\"],[0.7777777777777778,\"#fb9f3a\"],[0.8888888888888888,\"#fdca26\"],[1.0,\"#f0f921\"]],\"sequentialminus\":[[0.0,\"#0d0887\"],[0.1111111111111111,\"#46039f\"],[0.2222222222222222,\"#7201a8\"],[0.3333333333333333,\"#9c179e\"],[0.4444444444444444,\"#bd3786\"],[0.5555555555555556,\"#d8576b\"],[0.6666666666666666,\"#ed7953\"],[0.7777777777777778,\"#fb9f3a\"],[0.8888888888888888,\"#fdca26\"],[1.0,\"#f0f921\"]],\"diverging\":[[0,\"#8e0152\"],[0.1,\"#c51b7d\"],[0.2,\"#de77ae\"],[0.3,\"#f1b6da\"],[0.4,\"#fde0ef\"],[0.5,\"#f7f7f7\"],[0.6,\"#e6f5d0\"],[0.7,\"#b8e186\"],[0.8,\"#7fbc41\"],[0.9,\"#4d9221\"],[1,\"#276419\"]]},\"xaxis\":{\"gridcolor\":\"white\",\"linecolor\":\"white\",\"ticks\":\"\",\"title\":{\"standoff\":15},\"zerolinecolor\":\"white\",\"automargin\":true,\"zerolinewidth\":2},\"yaxis\":{\"gridcolor\":\"white\",\"linecolor\":\"white\",\"ticks\":\"\",\"title\":{\"standoff\":15},\"zerolinecolor\":\"white\",\"automargin\":true,\"zerolinewidth\":2},\"scene\":{\"xaxis\":{\"backgroundcolor\":\"#E5ECF6\",\"gridcolor\":\"white\",\"linecolor\":\"white\",\"showbackground\":true,\"ticks\":\"\",\"zerolinecolor\":\"white\",\"gridwidth\":2},\"yaxis\":{\"backgroundcolor\":\"#E5ECF6\",\"gridcolor\":\"white\",\"linecolor\":\"white\",\"showbackground\":true,\"ticks\":\"\",\"zerolinecolor\":\"white\",\"gridwidth\":2},\"zaxis\":{\"backgroundcolor\":\"#E5ECF6\",\"gridcolor\":\"white\",\"linecolor\":\"white\",\"showbackground\":true,\"ticks\":\"\",\"zerolinecolor\":\"white\",\"gridwidth\":2}},\"shapedefaults\":{\"line\":{\"color\":\"#2a3f5f\"}},\"annotationdefaults\":{\"arrowcolor\":\"#2a3f5f\",\"arrowhead\":0,\"arrowwidth\":1},\"geo\":{\"bgcolor\":\"white\",\"landcolor\":\"#E5ECF6\",\"subunitcolor\":\"white\",\"showland\":true,\"showlakes\":true,\"lakecolor\":\"white\"},\"title\":{\"x\":0.05},\"mapbox\":{\"style\":\"light\"}}}},                        {\"responsive\": true}                    ).then(function(){\n",
              "                            \n",
              "var gd = document.getElementById('f782c712-b74c-4912-bd2c-004dd23c20bc');\n",
              "var x = new MutationObserver(function (mutations, observer) {{\n",
              "        var display = window.getComputedStyle(gd).display;\n",
              "        if (!display || display === 'none') {{\n",
              "            console.log([gd, 'removed!']);\n",
              "            Plotly.purge(gd);\n",
              "            observer.disconnect();\n",
              "        }}\n",
              "}});\n",
              "\n",
              "// Listen for the removal of the full notebook cells\n",
              "var notebookContainer = gd.closest('#notebook-container');\n",
              "if (notebookContainer) {{\n",
              "    x.observe(notebookContainer, {childList: true});\n",
              "}}\n",
              "\n",
              "// Listen for the clearing of the current output cell\n",
              "var outputEl = gd.closest('.output');\n",
              "if (outputEl) {{\n",
              "    x.observe(outputEl, {childList: true});\n",
              "}}\n",
              "\n",
              "                        })                };                            </script>        </div>\n",
              "</body>\n",
              "</html>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "import plotly.graph_objects as go\n",
        "\n",
        "data = torch.exp(out[0]).cpu().detach().numpy()\n",
        "fig = go.Figure()\n",
        "for idx, char_prob in enumerate(data.T):\n",
        "  fig.add_trace(go.Line(y=char_prob, name=char_list[idx]))\n",
        "fig.show()\n"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "zKxkgJEf4LWH"
      },
      "source": [
        "## Q&A\n",
        "```\n",
        "Q : CTC에서 target에 있지 않은 blk의 확률값이 높은 이유는 무엇인가요\n",
        "CTC에서 blk('_')는 shot pause, slience에 해당하는 확률이 될 수도 있고\n",
        "apple, sorry 와 같이 같은 글자가 두번 나오는 경우에 pp_p, rr_r 과 같이 두 음을\n",
        "구분하는 역할도 하게 되므로 확률이 높게 추정됩니다.\n",
        "\n",
        "\n",
        "그래서 이를 해결하고자 나온 새로운 loss 가 Facebook의 wav2letter모델을 위해\n",
        "제안한 auto segmentation criterion(ASG)가 있습니다.\n",
        "다만 해당 criterion은 많이 사용되지는 않습니다.\n",
        "```"
      ]
    }
  ],
  "metadata": {
    "colab": {
      "provenance": []
    },
    "kernelspec": {
      "display_name": "Python 3",
      "name": "python3"
    },
    "language_info": {
      "codemirror_mode": {
        "name": "ipython",
        "version": 3
      },
      "file_extension": ".py",
      "mimetype": "text/x-python",
      "name": "python",
      "nbconvert_exporter": "python",
      "pygments_lexer": "ipython3",
      "version": "3.9.12"
    },
    "widgets": {
      "application/vnd.jupyter.widget-state+json": {
        "097c6aff8bac4bf19e5a68276925c483": {
          "model_module": "@jupyter-widgets/base",
          "model_module_version": "1.2.0",
          "model_name": "LayoutModel",
          "state": {
            "_model_module": "@jupyter-widgets/base",
            "_model_module_version": "1.2.0",
            "_model_name": "LayoutModel",
            "_view_count": null,
            "_view_module": "@jupyter-widgets/base",
            "_view_module_version": "1.2.0",
            "_view_name": "LayoutView",
            "align_content": null,
            "align_items": null,
            "align_self": null,
            "border": null,
            "bottom": null,
            "display": null,
            "flex": null,
            "flex_flow": null,
            "grid_area": null,
            "grid_auto_columns": null,
            "grid_auto_flow": null,
            "grid_auto_rows": null,
            "grid_column": null,
            "grid_gap": null,
            "grid_row": null,
            "grid_template_areas": null,
            "grid_template_columns": null,
            "grid_template_rows": null,
            "height": null,
            "justify_content": null,
            "justify_items": null,
            "left": null,
            "margin": null,
            "max_height": null,
            "max_width": null,
            "min_height": null,
            "min_width": null,
            "object_fit": null,
            "object_position": null,
            "order": null,
            "overflow": null,
            "overflow_x": null,
            "overflow_y": null,
            "padding": null,
            "right": null,
            "top": null,
            "visibility": null,
            "width": null
          }
        },
        "0b4681c3f5524c51a697d464139a9352": {
          "model_module": "@jupyter-widgets/controls",
          "model_module_version": "1.5.0",
          "model_name": "FloatProgressModel",
          "state": {
            "_dom_classes": [],
            "_model_module": "@jupyter-widgets/controls",
            "_model_module_version": "1.5.0",
            "_model_name": "FloatProgressModel",
            "_view_count": null,
            "_view_module": "@jupyter-widgets/controls",
            "_view_module_version": "1.5.0",
            "_view_name": "ProgressView",
            "bar_style": "success",
            "description": "",
            "description_tooltip": null,
            "layout": "IPY_MODEL_097c6aff8bac4bf19e5a68276925c483",
            "max": 500,
            "min": 0,
            "orientation": "horizontal",
            "style": "IPY_MODEL_e1d78feff92e459981df83fc75fb8b59",
            "value": 500
          }
        },
        "0b694883359e42278de0f50dfec6b1bf": {
          "model_module": "@jupyter-widgets/base",
          "model_module_version": "1.2.0",
          "model_name": "LayoutModel",
          "state": {
            "_model_module": "@jupyter-widgets/base",
            "_model_module_version": "1.2.0",
            "_model_name": "LayoutModel",
            "_view_count": null,
            "_view_module": "@jupyter-widgets/base",
            "_view_module_version": "1.2.0",
            "_view_name": "LayoutView",
            "align_content": null,
            "align_items": null,
            "align_self": null,
            "border": null,
            "bottom": null,
            "display": null,
            "flex": null,
            "flex_flow": null,
            "grid_area": null,
            "grid_auto_columns": null,
            "grid_auto_flow": null,
            "grid_auto_rows": null,
            "grid_column": null,
            "grid_gap": null,
            "grid_row": null,
            "grid_template_areas": null,
            "grid_template_columns": null,
            "grid_template_rows": null,
            "height": null,
            "justify_content": null,
            "justify_items": null,
            "left": null,
            "margin": null,
            "max_height": null,
            "max_width": null,
            "min_height": null,
            "min_width": null,
            "object_fit": null,
            "object_position": null,
            "order": null,
            "overflow": null,
            "overflow_x": null,
            "overflow_y": null,
            "padding": null,
            "right": null,
            "top": null,
            "visibility": null,
            "width": null
          }
        },
        "157e794678b7463cba876e4254b1cebf": {
          "model_module": "@jupyter-widgets/base",
          "model_module_version": "1.2.0",
          "model_name": "LayoutModel",
          "state": {
            "_model_module": "@jupyter-widgets/base",
            "_model_module_version": "1.2.0",
            "_model_name": "LayoutModel",
            "_view_count": null,
            "_view_module": "@jupyter-widgets/base",
            "_view_module_version": "1.2.0",
            "_view_name": "LayoutView",
            "align_content": null,
            "align_items": null,
            "align_self": null,
            "border": null,
            "bottom": null,
            "display": null,
            "flex": null,
            "flex_flow": null,
            "grid_area": null,
            "grid_auto_columns": null,
            "grid_auto_flow": null,
            "grid_auto_rows": null,
            "grid_column": null,
            "grid_gap": null,
            "grid_row": null,
            "grid_template_areas": null,
            "grid_template_columns": null,
            "grid_template_rows": null,
            "height": null,
            "justify_content": null,
            "justify_items": null,
            "left": null,
            "margin": null,
            "max_height": null,
            "max_width": null,
            "min_height": null,
            "min_width": null,
            "object_fit": null,
            "object_position": null,
            "order": null,
            "overflow": null,
            "overflow_x": null,
            "overflow_y": null,
            "padding": null,
            "right": null,
            "top": null,
            "visibility": null,
            "width": null
          }
        },
        "251c1b47a82142c98cd9af02b7e40c7d": {
          "model_module": "@jupyter-widgets/controls",
          "model_module_version": "1.5.0",
          "model_name": "FloatProgressModel",
          "state": {
            "_dom_classes": [],
            "_model_module": "@jupyter-widgets/controls",
            "_model_module_version": "1.5.0",
            "_model_name": "FloatProgressModel",
            "_view_count": null,
            "_view_module": "@jupyter-widgets/controls",
            "_view_module_version": "1.5.0",
            "_view_name": "ProgressView",
            "bar_style": "success",
            "description": "",
            "description_tooltip": null,
            "layout": "IPY_MODEL_62d84b6e540a49909cc9d2f7c49134ec",
            "max": 500,
            "min": 0,
            "orientation": "horizontal",
            "style": "IPY_MODEL_b6acf05eda5a4db791d5517cc2ac6275",
            "value": 500
          }
        },
        "2c1d42fde7e94d4ba039692d493fab94": {
          "model_module": "@jupyter-widgets/controls",
          "model_module_version": "1.5.0",
          "model_name": "DescriptionStyleModel",
          "state": {
            "_model_module": "@jupyter-widgets/controls",
            "_model_module_version": "1.5.0",
            "_model_name": "DescriptionStyleModel",
            "_view_count": null,
            "_view_module": "@jupyter-widgets/base",
            "_view_module_version": "1.2.0",
            "_view_name": "StyleView",
            "description_width": ""
          }
        },
        "3c2a7b51339747689b41edc229897f4f": {
          "model_module": "@jupyter-widgets/base",
          "model_module_version": "1.2.0",
          "model_name": "LayoutModel",
          "state": {
            "_model_module": "@jupyter-widgets/base",
            "_model_module_version": "1.2.0",
            "_model_name": "LayoutModel",
            "_view_count": null,
            "_view_module": "@jupyter-widgets/base",
            "_view_module_version": "1.2.0",
            "_view_name": "LayoutView",
            "align_content": null,
            "align_items": null,
            "align_self": null,
            "border": null,
            "bottom": null,
            "display": null,
            "flex": null,
            "flex_flow": null,
            "grid_area": null,
            "grid_auto_columns": null,
            "grid_auto_flow": null,
            "grid_auto_rows": null,
            "grid_column": null,
            "grid_gap": null,
            "grid_row": null,
            "grid_template_areas": null,
            "grid_template_columns": null,
            "grid_template_rows": null,
            "height": null,
            "justify_content": null,
            "justify_items": null,
            "left": null,
            "margin": null,
            "max_height": null,
            "max_width": null,
            "min_height": null,
            "min_width": null,
            "object_fit": null,
            "object_position": null,
            "order": null,
            "overflow": null,
            "overflow_x": null,
            "overflow_y": null,
            "padding": null,
            "right": null,
            "top": null,
            "visibility": null,
            "width": null
          }
        },
        "435fdffa20c746d5966be14052520289": {
          "model_module": "@jupyter-widgets/controls",
          "model_module_version": "1.5.0",
          "model_name": "DescriptionStyleModel",
          "state": {
            "_model_module": "@jupyter-widgets/controls",
            "_model_module_version": "1.5.0",
            "_model_name": "DescriptionStyleModel",
            "_view_count": null,
            "_view_module": "@jupyter-widgets/base",
            "_view_module_version": "1.2.0",
            "_view_name": "StyleView",
            "description_width": ""
          }
        },
        "56e0ef57e4e5463e83e095b88ed934de": {
          "model_module": "@jupyter-widgets/base",
          "model_module_version": "1.2.0",
          "model_name": "LayoutModel",
          "state": {
            "_model_module": "@jupyter-widgets/base",
            "_model_module_version": "1.2.0",
            "_model_name": "LayoutModel",
            "_view_count": null,
            "_view_module": "@jupyter-widgets/base",
            "_view_module_version": "1.2.0",
            "_view_name": "LayoutView",
            "align_content": null,
            "align_items": null,
            "align_self": null,
            "border": null,
            "bottom": null,
            "display": null,
            "flex": null,
            "flex_flow": null,
            "grid_area": null,
            "grid_auto_columns": null,
            "grid_auto_flow": null,
            "grid_auto_rows": null,
            "grid_column": null,
            "grid_gap": null,
            "grid_row": null,
            "grid_template_areas": null,
            "grid_template_columns": null,
            "grid_template_rows": null,
            "height": null,
            "justify_content": null,
            "justify_items": null,
            "left": null,
            "margin": null,
            "max_height": null,
            "max_width": null,
            "min_height": null,
            "min_width": null,
            "object_fit": null,
            "object_position": null,
            "order": null,
            "overflow": null,
            "overflow_x": null,
            "overflow_y": null,
            "padding": null,
            "right": null,
            "top": null,
            "visibility": null,
            "width": null
          }
        },
        "62d84b6e540a49909cc9d2f7c49134ec": {
          "model_module": "@jupyter-widgets/base",
          "model_module_version": "1.2.0",
          "model_name": "LayoutModel",
          "state": {
            "_model_module": "@jupyter-widgets/base",
            "_model_module_version": "1.2.0",
            "_model_name": "LayoutModel",
            "_view_count": null,
            "_view_module": "@jupyter-widgets/base",
            "_view_module_version": "1.2.0",
            "_view_name": "LayoutView",
            "align_content": null,
            "align_items": null,
            "align_self": null,
            "border": null,
            "bottom": null,
            "display": null,
            "flex": null,
            "flex_flow": null,
            "grid_area": null,
            "grid_auto_columns": null,
            "grid_auto_flow": null,
            "grid_auto_rows": null,
            "grid_column": null,
            "grid_gap": null,
            "grid_row": null,
            "grid_template_areas": null,
            "grid_template_columns": null,
            "grid_template_rows": null,
            "height": null,
            "justify_content": null,
            "justify_items": null,
            "left": null,
            "margin": null,
            "max_height": null,
            "max_width": null,
            "min_height": null,
            "min_width": null,
            "object_fit": null,
            "object_position": null,
            "order": null,
            "overflow": null,
            "overflow_x": null,
            "overflow_y": null,
            "padding": null,
            "right": null,
            "top": null,
            "visibility": null,
            "width": null
          }
        },
        "65f916204cbd406c8afe4aaba3724aa3": {
          "model_module": "@jupyter-widgets/controls",
          "model_module_version": "1.5.0",
          "model_name": "HTMLModel",
          "state": {
            "_dom_classes": [],
            "_model_module": "@jupyter-widgets/controls",
            "_model_module_version": "1.5.0",
            "_model_name": "HTMLModel",
            "_view_count": null,
            "_view_module": "@jupyter-widgets/controls",
            "_view_module_version": "1.5.0",
            "_view_name": "HTMLView",
            "description": "",
            "description_tooltip": null,
            "layout": "IPY_MODEL_bf9679bb8bb948fe83dc36598e821c2e",
            "placeholder": "​",
            "style": "IPY_MODEL_95bd8002491443989a727ec0c0c1d192",
            "value": " 500/500 [00:06&lt;00:00, 91.42it/s, loss=16.3]"
          }
        },
        "6c0d13e5b51f45a5bfe791ee1f9b5255": {
          "model_module": "@jupyter-widgets/base",
          "model_module_version": "1.2.0",
          "model_name": "LayoutModel",
          "state": {
            "_model_module": "@jupyter-widgets/base",
            "_model_module_version": "1.2.0",
            "_model_name": "LayoutModel",
            "_view_count": null,
            "_view_module": "@jupyter-widgets/base",
            "_view_module_version": "1.2.0",
            "_view_name": "LayoutView",
            "align_content": null,
            "align_items": null,
            "align_self": null,
            "border": null,
            "bottom": null,
            "display": null,
            "flex": null,
            "flex_flow": null,
            "grid_area": null,
            "grid_auto_columns": null,
            "grid_auto_flow": null,
            "grid_auto_rows": null,
            "grid_column": null,
            "grid_gap": null,
            "grid_row": null,
            "grid_template_areas": null,
            "grid_template_columns": null,
            "grid_template_rows": null,
            "height": null,
            "justify_content": null,
            "justify_items": null,
            "left": null,
            "margin": null,
            "max_height": null,
            "max_width": null,
            "min_height": null,
            "min_width": null,
            "object_fit": null,
            "object_position": null,
            "order": null,
            "overflow": null,
            "overflow_x": null,
            "overflow_y": null,
            "padding": null,
            "right": null,
            "top": null,
            "visibility": null,
            "width": null
          }
        },
        "6cc9804dc12d4484bdca50c848bb0975": {
          "model_module": "@jupyter-widgets/controls",
          "model_module_version": "1.5.0",
          "model_name": "HBoxModel",
          "state": {
            "_dom_classes": [],
            "_model_module": "@jupyter-widgets/controls",
            "_model_module_version": "1.5.0",
            "_model_name": "HBoxModel",
            "_view_count": null,
            "_view_module": "@jupyter-widgets/controls",
            "_view_module_version": "1.5.0",
            "_view_name": "HBoxView",
            "box_style": "",
            "children": [
              "IPY_MODEL_d5f21506afde4655a5e1dcf5300ba64b",
              "IPY_MODEL_251c1b47a82142c98cd9af02b7e40c7d",
              "IPY_MODEL_65f916204cbd406c8afe4aaba3724aa3"
            ],
            "layout": "IPY_MODEL_6c0d13e5b51f45a5bfe791ee1f9b5255"
          }
        },
        "93800ea9f0fd4cab9d66c86283b8fc25": {
          "model_module": "@jupyter-widgets/controls",
          "model_module_version": "1.5.0",
          "model_name": "HBoxModel",
          "state": {
            "_dom_classes": [],
            "_model_module": "@jupyter-widgets/controls",
            "_model_module_version": "1.5.0",
            "_model_name": "HBoxModel",
            "_view_count": null,
            "_view_module": "@jupyter-widgets/controls",
            "_view_module_version": "1.5.0",
            "_view_name": "HBoxView",
            "box_style": "",
            "children": [
              "IPY_MODEL_b12f8859f071471dbe3d3afa6ed71e97",
              "IPY_MODEL_0b4681c3f5524c51a697d464139a9352",
              "IPY_MODEL_93bccad1dc0144898f605381d58de772"
            ],
            "layout": "IPY_MODEL_157e794678b7463cba876e4254b1cebf"
          }
        },
        "93bccad1dc0144898f605381d58de772": {
          "model_module": "@jupyter-widgets/controls",
          "model_module_version": "1.5.0",
          "model_name": "HTMLModel",
          "state": {
            "_dom_classes": [],
            "_model_module": "@jupyter-widgets/controls",
            "_model_module_version": "1.5.0",
            "_model_name": "HTMLModel",
            "_view_count": null,
            "_view_module": "@jupyter-widgets/controls",
            "_view_module_version": "1.5.0",
            "_view_name": "HTMLView",
            "description": "",
            "description_tooltip": null,
            "layout": "IPY_MODEL_3c2a7b51339747689b41edc229897f4f",
            "placeholder": "​",
            "style": "IPY_MODEL_ecab949fde6a4b68a646cb1d1e259db1",
            "value": " 500/500 [00:08&lt;00:00, 82.19it/s, loss=16.3]"
          }
        },
        "95bd8002491443989a727ec0c0c1d192": {
          "model_module": "@jupyter-widgets/controls",
          "model_module_version": "1.5.0",
          "model_name": "DescriptionStyleModel",
          "state": {
            "_model_module": "@jupyter-widgets/controls",
            "_model_module_version": "1.5.0",
            "_model_name": "DescriptionStyleModel",
            "_view_count": null,
            "_view_module": "@jupyter-widgets/base",
            "_view_module_version": "1.2.0",
            "_view_name": "StyleView",
            "description_width": ""
          }
        },
        "b12f8859f071471dbe3d3afa6ed71e97": {
          "model_module": "@jupyter-widgets/controls",
          "model_module_version": "1.5.0",
          "model_name": "HTMLModel",
          "state": {
            "_dom_classes": [],
            "_model_module": "@jupyter-widgets/controls",
            "_model_module_version": "1.5.0",
            "_model_name": "HTMLModel",
            "_view_count": null,
            "_view_module": "@jupyter-widgets/controls",
            "_view_module_version": "1.5.0",
            "_view_name": "HTMLView",
            "description": "",
            "description_tooltip": null,
            "layout": "IPY_MODEL_0b694883359e42278de0f50dfec6b1bf",
            "placeholder": "​",
            "style": "IPY_MODEL_435fdffa20c746d5966be14052520289",
            "value": "100%"
          }
        },
        "b6acf05eda5a4db791d5517cc2ac6275": {
          "model_module": "@jupyter-widgets/controls",
          "model_module_version": "1.5.0",
          "model_name": "ProgressStyleModel",
          "state": {
            "_model_module": "@jupyter-widgets/controls",
            "_model_module_version": "1.5.0",
            "_model_name": "ProgressStyleModel",
            "_view_count": null,
            "_view_module": "@jupyter-widgets/base",
            "_view_module_version": "1.2.0",
            "_view_name": "StyleView",
            "bar_color": null,
            "description_width": ""
          }
        },
        "bf9679bb8bb948fe83dc36598e821c2e": {
          "model_module": "@jupyter-widgets/base",
          "model_module_version": "1.2.0",
          "model_name": "LayoutModel",
          "state": {
            "_model_module": "@jupyter-widgets/base",
            "_model_module_version": "1.2.0",
            "_model_name": "LayoutModel",
            "_view_count": null,
            "_view_module": "@jupyter-widgets/base",
            "_view_module_version": "1.2.0",
            "_view_name": "LayoutView",
            "align_content": null,
            "align_items": null,
            "align_self": null,
            "border": null,
            "bottom": null,
            "display": null,
            "flex": null,
            "flex_flow": null,
            "grid_area": null,
            "grid_auto_columns": null,
            "grid_auto_flow": null,
            "grid_auto_rows": null,
            "grid_column": null,
            "grid_gap": null,
            "grid_row": null,
            "grid_template_areas": null,
            "grid_template_columns": null,
            "grid_template_rows": null,
            "height": null,
            "justify_content": null,
            "justify_items": null,
            "left": null,
            "margin": null,
            "max_height": null,
            "max_width": null,
            "min_height": null,
            "min_width": null,
            "object_fit": null,
            "object_position": null,
            "order": null,
            "overflow": null,
            "overflow_x": null,
            "overflow_y": null,
            "padding": null,
            "right": null,
            "top": null,
            "visibility": null,
            "width": null
          }
        },
        "d5f21506afde4655a5e1dcf5300ba64b": {
          "model_module": "@jupyter-widgets/controls",
          "model_module_version": "1.5.0",
          "model_name": "HTMLModel",
          "state": {
            "_dom_classes": [],
            "_model_module": "@jupyter-widgets/controls",
            "_model_module_version": "1.5.0",
            "_model_name": "HTMLModel",
            "_view_count": null,
            "_view_module": "@jupyter-widgets/controls",
            "_view_module_version": "1.5.0",
            "_view_name": "HTMLView",
            "description": "",
            "description_tooltip": null,
            "layout": "IPY_MODEL_56e0ef57e4e5463e83e095b88ed934de",
            "placeholder": "​",
            "style": "IPY_MODEL_2c1d42fde7e94d4ba039692d493fab94",
            "value": "100%"
          }
        },
        "e1d78feff92e459981df83fc75fb8b59": {
          "model_module": "@jupyter-widgets/controls",
          "model_module_version": "1.5.0",
          "model_name": "ProgressStyleModel",
          "state": {
            "_model_module": "@jupyter-widgets/controls",
            "_model_module_version": "1.5.0",
            "_model_name": "ProgressStyleModel",
            "_view_count": null,
            "_view_module": "@jupyter-widgets/base",
            "_view_module_version": "1.2.0",
            "_view_name": "StyleView",
            "bar_color": null,
            "description_width": ""
          }
        },
        "ecab949fde6a4b68a646cb1d1e259db1": {
          "model_module": "@jupyter-widgets/controls",
          "model_module_version": "1.5.0",
          "model_name": "DescriptionStyleModel",
          "state": {
            "_model_module": "@jupyter-widgets/controls",
            "_model_module_version": "1.5.0",
            "_model_name": "DescriptionStyleModel",
            "_view_count": null,
            "_view_module": "@jupyter-widgets/base",
            "_view_module_version": "1.2.0",
            "_view_name": "StyleView",
            "description_width": ""
          }
        }
      }
    }
  },
  "nbformat": 4,
  "nbformat_minor": 0
}