2024s-assignment2-dhyun22-dahyun.ipynb

{
  "cells": [
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "pq4StkI_HpXa"
      },
      "source": [
        "# Programming Assingnment2 - ResNet, LSTM Implementation\n",
        "안녕하세요 **AIKU 학회원 여러분!**, 두 번째 과제는 지난 주에 배웠던 CNN variant 중 하나인 ResNet, RNN의 발전된 형태인 LSTM을 구현하는 것입니다!\n",
        "\n",
        "모델을 2개나 재구현해야한다니.. 상당히 과제 덩치가 커보이실 수도 있지만, 수업 내용과 실습 내용을 쭉 따라오셨으면 쉽게 풀 수 있는 난이도로 제작하였으니 걱정하지 않으셔도 됩니다!\n",
        "\n",
        "이번 과제에서는 ResNet으로는 CIFAR-10 데이터셋을 이용한 이미지 classification, LSTM으로는 감정분석 task를 수행할 예정입니다. 네이버의 영화 리뷰 데이터를 모델의 입력으로 받아, 이 리뷰가 긍정적인지 부정적인지를 분류하는 task를 수행하는 LSTM 모델을 구현해 볼 예정입니다.\n",
        "\n",
        "\n",
        "또한, 모델만 재구현 하는 것이 아니라, DataLoader 구현 및 DataLoader를 위한 Dataset으로의 전처리 과정까지 함께 다룰 예정이니다.\n",
        "\n",
        "그럼 이제 시작해 볼까요?\n",
        "\n"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "Y40RpHx8VP-i"
      },
      "source": [
        "# Part 1. ResNet\n"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "yp62xrJJGtWK"
      },
      "source": [
        "## 1-1. 라이브러리 설치 및 불러오기\n",
        "ResNet 구현에 필요한 라이브러리를 설치 및 불러오는 과정입니다."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "_OBfx12nGssO",
        "outputId": "b7a82492-8dcd-4f29-88d6-762d3511fd13"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Requirement already satisfied: wget in /usr/local/lib/python3.10/dist-packages (3.2)\n",
            "^C\n",
            "Requirement already satisfied: torch in /usr/local/lib/python3.10/dist-packages (2.3.1+cu121)\n",
            "Requirement already satisfied: torchaudio in /usr/local/lib/python3.10/dist-packages (2.3.1+cu121)\n",
            "Requirement already satisfied: torchvision in /usr/local/lib/python3.10/dist-packages (0.18.1+cu121)\n",
            "Requirement already satisfied: filelock in /usr/local/lib/python3.10/dist-packages (from torch) (3.15.4)\n",
            "Requirement already satisfied: typing-extensions>=4.8.0 in /usr/local/lib/python3.10/dist-packages (from torch) (4.12.2)\n",
            "Requirement already satisfied: sympy in /usr/local/lib/python3.10/dist-packages (from torch) (1.13.0)\n",
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            "Requirement already satisfied: nvidia-cuda-nvrtc-cu12==12.1.105 in /usr/local/lib/python3.10/dist-packages (from torch) (12.1.105)\n",
            "Requirement already satisfied: nvidia-cuda-runtime-cu12==12.1.105 in /usr/local/lib/python3.10/dist-packages (from torch) (12.1.105)\n",
            "Requirement already satisfied: nvidia-cuda-cupti-cu12==12.1.105 in /usr/local/lib/python3.10/dist-packages (from torch) (12.1.105)\n",
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            "Requirement already satisfied: nvidia-cublas-cu12==12.1.3.1 in /usr/local/lib/python3.10/dist-packages (from torch) (12.1.3.1)\n",
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            "Requirement already satisfied: nvidia-curand-cu12==10.3.2.106 in /usr/local/lib/python3.10/dist-packages (from torch) (10.3.2.106)\n",
            "Requirement already satisfied: nvidia-cusolver-cu12==11.4.5.107 in /usr/local/lib/python3.10/dist-packages (from torch) (11.4.5.107)\n",
            "Requirement already satisfied: nvidia-cusparse-cu12==12.1.0.106 in /usr/local/lib/python3.10/dist-packages (from torch) (12.1.0.106)\n",
            "Requirement already satisfied: nvidia-nccl-cu12==2.20.5 in /usr/local/lib/python3.10/dist-packages (from torch) (2.20.5)\n",
            "Requirement already satisfied: nvidia-nvtx-cu12==12.1.105 in /usr/local/lib/python3.10/dist-packages (from torch) (12.1.105)\n",
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            "Requirement already satisfied: nvidia-nvjitlink-cu12 in /usr/local/lib/python3.10/dist-packages (from nvidia-cusolver-cu12==11.4.5.107->torch) (12.5.82)\n",
            "Requirement already satisfied: numpy in /usr/local/lib/python3.10/dist-packages (from torchvision) (1.25.2)\n",
            "Requirement already satisfied: pillow!=8.3.*,>=5.3.0 in /usr/local/lib/python3.10/dist-packages (from torchvision) (9.4.0)\n",
            "Requirement already satisfied: MarkupSafe>=2.0 in /usr/local/lib/python3.10/dist-packages (from jinja2->torch) (2.1.5)\n",
            "Requirement already satisfied: mpmath<1.4,>=1.1.0 in /usr/local/lib/python3.10/dist-packages (from sympy->torch) (1.3.0)\n",
            "Requirement already satisfied: numpy in /usr/local/lib/python3.10/dist-packages (1.25.2)\n"
          ]
        }
      ],
      "source": [
        "!pip install wget\n",
        "!pip install torch torchaudio torchvision\n",
        "!pip install numpy"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "43e5ltg6Hqfq"
      },
      "outputs": [],
      "source": [
        "import torch\n",
        "import torchvision\n",
        "import torchvision.transforms as transforms\n",
        "import torch.nn as nn\n",
        "import torch.nn.functional as F\n",
        "import torch.optim as optim\n",
        "import matplotlib.pyplot as plt\n",
        "from torch.utils.data import Dataset, DataLoader\n",
        "\n",
        "import numpy as np\n",
        "import pickle\n",
        "import tarfile\n",
        "import os\n",
        "import matplotlib.pyplot as plt\n",
        "from tqdm import tqdm\n",
        "from PIL import Image"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "WWcv4mVMHJaf"
      },
      "source": [
        "## 1-2. device 지정\n",
        "런타임에 활용할 device에 cpu 또는 cuda(GPU)를 할당할 것인지 지정하는 단계입니다.\n",
        "단, 구현 중에는 **CPU**로 사용을 권장드립니다!\n",
        "GPU가 가장 많이 필요한 단계는 학습하는 과정인데 구현하는 시간동안 colab의 GPU를 다 써버리면 막상 학습할 때 필요한 GPU 자원을 쓸 수 없게 됩니다. 따라서 코드를 모두 구현하고 train 코드가 잘 돌아가는지 확인한 뒤에 colab 상단 런타임 메뉴에서 런타임 유형을 GPU로 바꾼 뒤에 실행하면 됩니다."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "E8m2Co9wHIkZ",
        "outputId": "a8c2007c-0fb4-4b88-9bce-6c084a1d801b"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Using cuda device\n"
          ]
        }
      ],
      "source": [
        "device = 'cuda' if torch.cuda.is_available() else 'cpu'\n",
        "print(f'Using {device} device')"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "eZ6V3WqEH0TA"
      },
      "source": [
        "## 1-3. Google Drive Mount\n",
        "Colab에서는 컴퓨터에 자원에 접근이 불가능 하므로 Google Drive에 파일을 올려 놓은 후 Google Drive를 mount 에서 로컬 디스크처럼 사용 합니다."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "Gjg8pqPQH7JE"
      },
      "outputs": [],
      "source": [
        "# 지난 과제에서도 했던 과정이기 때문에 똑같이 Google Drive를 Mount해주시면 됩니다.\n",
        "from google.colab import drive\n",
        "drive.mount('/content/drive', force_remount=True)\n",
        "\n",
        "# data를 저장할 폴더 입니다. 환경에 맞게 수정 하세요.\n",
        "data_dir = \"/content/drive/MyDrive/AIKU_D2D/2/data\""
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "g08UK8tmKGie"
      },
      "source": [
        "## 1-4 CIFAR-10 데이터셋 다운로드\n",
        "이제 CIFAR-10 데이터셋을 다운로드 할 차례입니다! CIFAR-10은 (비행기, 자동차, 새, 고양이, 사슴, 개, 개구리, 말, 배, 트럭) 이렇게 10개 class로 구성이 되어있는 이미지 데이터셋입니다. train set 5만장, test set 1만장으로 구성되어 있으며, 각 이미지의 사이즈는 32*32입니다. 예전에 image recognition 관련 분야에서 항상 활용되었던 데이터셋입니다!\n",
        "\n",
        "먼저, 데이터셋을 다운 받아봅시다.\n",
        "아래 코드는 먼저 드라이브에 CIFAR-10 디렉토리를 생성하고, 생성한 디렉토리에 tar.gz 형식의 압축 파일을 다운 받는 역할을 합니다.\n",
        "\n",
        "**반드시 mount를 하고 진행해 주세요!**"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "w5JvI1KcIUFi",
        "outputId": "98427a75-b0cc-478f-b07a-c213c01c33d7"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "--2024-07-19 04:39:46--  https://www.cs.toronto.edu/~kriz/cifar-10-python.tar.gz\n",
            "Resolving www.cs.toronto.edu (www.cs.toronto.edu)... 128.100.3.30\n",
            "Connecting to www.cs.toronto.edu (www.cs.toronto.edu)|128.100.3.30|:443... connected.\n",
            "HTTP request sent, awaiting response... 200 OK\n",
            "Length: 170498071 (163M) [application/x-gzip]\n",
            "Saving to: ‘/content/drive/MyDrive/AIKU_D2D/2/data/CIFAR10/cifar-10-python.tar.gz’\n",
            "\n",
            "cifar-10-python.tar 100%[===================>] 162.60M  17.1MB/s    in 11s     \n",
            "\n",
            "2024-07-19 04:39:58 (15.0 MB/s) - ‘/content/drive/MyDrive/AIKU_D2D/2/data/CIFAR10/cifar-10-python.tar.gz’ saved [170498071/170498071]\n",
            "\n"
          ]
        }
      ],
      "source": [
        "drive_path = '/content/drive/MyDrive/AIKU_D2D/2/data/CIFAR10'\n",
        "os.makedirs(drive_path, exist_ok=True)\n",
        "\n",
        "!wget -P {drive_path} https://www.cs.toronto.edu/~kriz/cifar-10-python.tar.gz"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "4U1VgTNeLPaA"
      },
      "source": [
        "정상적으로 파일을 다운로드했다면, 이제 파일을 압축 해제해 봅시다.\n",
        "아래 코드들 실행해 주세요.\n",
        "train, test 이미지들의 shape도 함께 보실 수 있습니다."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "lv46jzvp036Q",
        "outputId": "d2d3a2e8-b6de-4507-d575-1163f293ce54"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "cifar-10-batches-py/\n",
            "cifar-10-batches-py/data_batch_4\n",
            "cifar-10-batches-py/readme.html\n",
            "cifar-10-batches-py/test_batch\n",
            "cifar-10-batches-py/data_batch_3\n",
            "cifar-10-batches-py/batches.meta\n",
            "cifar-10-batches-py/data_batch_2\n",
            "cifar-10-batches-py/data_batch_5\n",
            "cifar-10-batches-py/data_batch_1\n"
          ]
        }
      ],
      "source": [
        "tar_gz_path = '/content/drive/MyDrive/AIKU_D2D/2/data/CIFAR10/cifar-10-python.tar.gz'\n",
        "extract_path = '/content/drive/MyDrive/AIKU_D2D/2/data/CIFAR10'  # Define where you want to extract the files\n",
        "\n",
        "os.makedirs(extract_path, exist_ok=True)\n",
        "\n",
        "!tar -xzvf {tar_gz_path} -C {extract_path}"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "0J0aPu2VLZpx",
        "outputId": "3f840502-4570-4989-ae8d-b2cf4fb126d6"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Train_Data shape: (50000, 32, 32, 3)\n",
            "Train_Labels shape: 50000\n",
            "Test_Data shape: (10000, 32, 32, 3)\n",
            "Test_Labels shape: 10000\n"
          ]
        }
      ],
      "source": [
        "def load_cifar10_batch(file):\n",
        "    with open(file, 'rb') as fo:\n",
        "        dict = pickle.load(fo, encoding='bytes')\n",
        "    return dict\n",
        "\n",
        "cifar10_dir = '/content/drive/MyDrive/AIKU_D2D/2/data/CIFAR10/cifar-10-batches-py/'\n",
        "cifar10_train_files = [os.path.join(cifar10_dir, f\"data_batch_{i}\") for i in range(1, 6)]\n",
        "\n",
        "def load_all_cifar10_batches(dirs):\n",
        "    data_list = []\n",
        "    labels_list = []\n",
        "    for dir in dirs:\n",
        "        batch = load_cifar10_batch(dir)\n",
        "        data_list.append(batch[b'data'])\n",
        "        labels_list.append(batch[b'labels'])\n",
        "\n",
        "    data = np.concatenate(data_list)\n",
        "    labels = np.concatenate(labels_list)\n",
        "\n",
        "    return data, labels\n",
        "\n",
        "# train, test 이미지 및 라벨들 불러오기\n",
        "train_img, train_labels = load_all_cifar10_batches(cifar10_train_files)\n",
        "test_img, test_labels = load_all_cifar10_batches(['/content/drive/MyDrive/AIKU_D2D/2/data/CIFAR10/cifar-10-batches-py/test_batch'])\n",
        "\n",
        "# data reshaping\n",
        "train_img = train_img.reshape((len(train_img), 3, 32, 32)).transpose(0, 2, 3, 1)\n",
        "test_img = test_img.reshape((len(test_img), 3, 32, 32)).transpose(0, 2, 3, 1)\n",
        "\n",
        "print(f\"Train_Data shape: {train_img.shape}\")\n",
        "print(f\"Train_Labels shape: {len(train_labels)}\")\n",
        "\n",
        "print(f\"Test_Data shape: {test_img.shape}\")\n",
        "print(f\"Test_Labels shape: {len(test_labels)}\")"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "mz6UtsqTNwJk"
      },
      "source": [
        "위의 코드가 정상적으로 모두 실행이 되었다면, CIFAR-10 데이터셋 몇 개를 한번 봐 봅시다! 아래 코드를 실행해주세요."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 348
        },
        "id": "RMVhYTHKN5d9",
        "outputId": "2cba4e11-7686-4f0d-ded7-acb4b1cdf686"
      },
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 1000x1000 with 10 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ],
      "source": [
        "def show_images(images, labels, class_names, num_images=10):\n",
        "    plt.figure(figsize=(10, 10))\n",
        "    for i in range(num_images):\n",
        "        plt.subplot(5, 5, i+1)\n",
        "        plt.xticks([])\n",
        "        plt.yticks([])\n",
        "        plt.grid(False)\n",
        "        plt.imshow(images[i])\n",
        "        plt.xlabel(class_names[labels[i]])\n",
        "    plt.show()\n",
        "\n",
        "class_names = ['airplane', 'automobile', 'bird', 'cat', 'deer', 'dog', 'frog', 'horse', 'ship', 'truck']\n",
        "\n",
        "show_images(train_img, train_labels, class_names)"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "ROYoaSdYVEJX"
      },
      "source": [
        "## 1-5 Dataset & DataLoader\n",
        "이제 학습, 테스트 데이터셋도 다 불러왔으니, 전처리를 해야겠죠? 이번 단계에서는 torch.utils.data 아래에 있는 Dataset, DataLoader를 사용해보는 시간을 가질 것입니다. DataLoader는 수업 시간에 배운 batch inference를 가능하게 해주는 기능을 하며, DataLoader는 Dataset 형식을 input으로 받습니다. 그래서 거의 대부분의 전처리를, 데이터셋을 Dataset 형식으로 바꾸어 주는 과정에서 해주시면 됩니다! 모델은 tensor 형식의 입력을 요구하기 때문에, 이 과정에서 텐서로의 형변환도 해주면 더욱 좋겠죠?\n",
        "\n",
        "그럼 먼저, Dataset으로의 변환부터 진행해 봅시다.\n",
        "\n",
        "Dataset으로의 변환은 주로 class를 사용해서 이루어집니다. 이 class는 torch.utils.data 아래의 Dataset을 상속받으며, \\_\\_len\\_\\_ 메소드와 \\_\\_getitem\\_\\_  메소드를 필수적으로 요구합니다. 우리가 직접 사용할 것은 아니고, 나중에 DataLoader가 사용할 것입니다. \\_\\_len\\_\\_ 메소드는 이름과 같이 전처리 하고자 하는 데이터셋의 전체 길이(갯수)를 반환하며, \\_\\_getitem\\_\\_은 인덱스로 데이터셋의 특정 부분을 반환하는 메소드입니다.\n",
        "\n",
        "\n",
        "때로는 torchvision의 transforms를 활용하여, input에 변형을 가하거나, 일괄적인 형변환 및 정규화를 진행하기도 합니다. 원본 이미지 input에 변형을 가하는 이유는, 변형으로 인해 이미지의 특정한 feature가 손상되어도, 손상되지 않은 다른 feature를 통해 정확한 예측을 하도록 유도할 수 있어 더 robust한 모델을 만들 수 있기 때문입니다! 쉽게 말해서, 더 어려운 문제인 \"기출변형\"을 모델에게 학습시키는 것으로 생각하시면 됩니다. 사람마다 어떻게 활용하는지는 다 다를 수 있지만, 이번에는 \\_\\_getitem\\_\\_ 내부에서 적용해줍시다!\n",
        "\n",
        "Dataset, Dataloader를 보다 자세히 알고 싶으시다면, pytorch 공식 튜토리얼을 참고해 주세요:\n",
        "https://tutorials.pytorch.kr/beginner/basics/data_tutorial.html\n"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "wA28447kc173"
      },
      "source": [
        "### 문제 1. CIFAR10Dataset 구현"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "FpYL0OPUVDbx"
      },
      "outputs": [],
      "source": [
        "class CIFAR10Dataset(Dataset):\n",
        "    def __init__(self, image, labels, transform=None):\n",
        "      self.img = image\n",
        "      self.labels = labels\n",
        "      self.transform = transform\n",
        "\n",
        "    def __len__(self):\n",
        "      ###############################################\n",
        "      #####TODO: __len__ 메소드를 구현해 주세요 #####\n",
        "      ###############################################\n",
        "      return len(self.img)\n",
        "\n",
        "    def __getitem__(self, idx):\n",
        "      ###############################################\n",
        "      ###TODO: __getitem__ 메소드를 구현해 주세요 ###\n",
        "      ###############################################\n",
        "      image = self.img[idx]\n",
        "      label = self.labels[idx]\n",
        "       # Numpy 배열을 PIL 이미지로 변환\n",
        "      image = Image.fromarray(image)\n",
        "\n",
        "      if self.transform:\n",
        "          ###############################################\n",
        "          ###TODO: transforms를 적용해봅시다          ###\n",
        "          ###############################################\n",
        "          image = self.transform(image)\n",
        "\n",
        "      # image = torch.tensor(image)\n",
        "      label = torch.tensor(label)\n",
        "\n",
        "      return dict(image=image, label=label)"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "lnsWjTpLWpS-"
      },
      "source": [
        "이제 transforms를 선언하고, 이를 통해 train_dataset, test_dataset을 모두 Dataset으로 전처리해줍시다!\n",
        "transforms_train에 더 많은 transforms를 적용하셔도 좋습니다!\n",
        "\n",
        "\n",
        "transforms에 대한 더 많은 정보는 해당 링크들을 참조해 주세요:<br>\n",
        "https://pytorch.org/vision/0.9/transforms.html<br>\n",
        "https://tutorials.pytorch.kr/beginner/basics/transforms_tutorial.html"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "tjXvm13gbUex"
      },
      "outputs": [],
      "source": [
        "transform_train = transforms.Compose([\n",
        "    transforms.RandomCrop(32, padding=4),\n",
        "    transforms.RandomHorizontalFlip(),\n",
        "    transforms.ToTensor(),\n",
        "    transforms.Normalize((0.4914, 0.4822, 0.4465), (0.2023, 0.1994, 0.2010)),\n",
        "])\n",
        "\n",
        "transform_test = transforms.Compose([\n",
        "    transforms.ToTensor(),\n",
        "    transforms.Normalize((0.4914, 0.4822, 0.4465), (0.2023, 0.1994, 0.2010)),\n",
        "])\n",
        "\n",
        "\n",
        "train_dataset = CIFAR10Dataset(train_img, train_labels, transform=transform_train)\n",
        "test_dataset = CIFAR10Dataset(test_img, test_labels, transform=transform_test)"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "LjTEOTUuc8_k"
      },
      "source": [
        "#### 문제 2. transform_train에는 transform_test에 비해 더 많은 transform 기법들이 적용되어 있습니다. 왜 transform_test에는 텐서로의 형변환과 정규화 과정만 포함되어 있을까요? 이 외에 다른 transforms를 transform_test에 적용해도 될까요? 자유롭게 생각을 기술해 주세요"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "jH0STvOIdYkb"
      },
      "source": [
        "답:\n",
        "테스트 데이터는 모델의 성능을 평가하기 위한 데이터인데 모델의 성능을 공정하고 일관되게 평가하려면, 테스트 데이터에는 학습 데이터와는 달리 복잡한 변형을 적용하지 않는다. 일반적으로, transform_test에는 최소한의 변형만 적용해야 한다고 생각한다."
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "ARsqz6oGpqUY"
      },
      "source": [
        "거의 마지막입니다. train dataset을 이제 train data과 validation data로 나누어 줍시다. 주로 8 : 2 의 비율로 나누어 줍니다."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "tQFm6MSnp3zu"
      },
      "outputs": [],
      "source": [
        "def train_val_split(dataset, ratio):\n",
        "    train_size = int(ratio * len(dataset))\n",
        "    val_size = len(dataset) - train_size\n",
        "    train_dataset, val_dataset = torch.utils.data.random_split(dataset, [train_size, val_size])\n",
        "    return train_dataset, val_dataset\n",
        "\n",
        "train_dataset, val_dataset = train_val_split(train_dataset, 0.8)"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "-p_1KFxrkMTb"
      },
      "source": [
        "이제 Dataset으로의 전처리가 끝난 만큼, DataLoader를 만들어 줍시다.\n",
        "아래 코드를 실행하여, train, validation, test dataset에 대한 loader를 선언해 주세요.\n",
        "\n",
        "train_loader에만 shuffle을 해주는 이유는, 학습 시 매 epoch마다 데이터셋의 학습 순서를 바꾸어 주어, 모델이 학습 데이터셋의 \"순서\"를 활용하여 예측하는 것을 방지하기 위함입니다. validation, test 시에는 학습을 진행하지 않기에 shuffle을 할 필요가 없습니다.\n",
        "\n",
        "batch_size는 한 iteration마다 몇 개의 데이터 샘플을 모델에 입력으로 넣을 것인지 선언해 주는 argument입니다 (batch의 크기). batch size가 클 수록 빠르게 학습을 진행할 수 있어, 메모리가 부족하지 않는 이상 DataLoader를 활용하는 것이 효율적입니다."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "QvYvMdkEkLQk"
      },
      "outputs": [],
      "source": [
        "train_loader = DataLoader(train_dataset, batch_size=64, shuffle=True)\n",
        "val_loader = DataLoader(train_dataset, batch_size=64, shuffle=False)\n",
        "test_loader = DataLoader(test_dataset, batch_size=16, shuffle=False)"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "GoyzehqwixDv"
      },
      "source": [
        "## 1-6 ResNet 구현!\n",
        "이제 모든 준비를 마쳤으니, ResNet을 구현해 봅시다!\n",
        "ResNet은 ResNet-18, 50 등등 모델 크기에 따라 여러 종류가 있지만, 여기에서는 ResNet-18을 재구현하도록 하겠습니다.\n",
        "\n",
        "ResNet은 VGG와 비슷하게, residual connection을 가지고 있는 여러 개의 residual block들로 구성이 되어 있습니다. 그 구조는 아래 그림과 같습니다:\n",
        "<br>\n",
        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v2yLXr16SNGnSyscffyQdO3Y0HwMAAPAwhFYAEEumTJkib7zxhgS1w5KneGV55YPhkipDdnvvg27euCZzh34kK38ZYsrvvvuufPbZZ0H9QmZ6A3Ctv/76Sxo0aCinTp2UDDkLS+PuY0zYHpY7t2/JkolfyW9jPzPnL7/8spkGnThxYnsFAADAgwitACAWTJw4UVq0aCHxfRPKi237Srm67ew9j7Z3Y4BM+bK1nDtxyEwV1GmFAOAqK1eulOeff15u3rwlVRp3k2rNuks8n/j23oc7vn+b/Nz3DTP6qmrVqmbNvvjxw/exAADA+xBaAYCLLV26VGrWrGmm/3UautpMCYyowGuXZUjnakEdvw3Ss2dP6d69u70HAGLOrl27pEKFCnLhwgV589uFkrfEs/ae8NORVmN7NpLtK+eYda4cG08AAADcj9AKAFzozp07UqhQIbMr4MtdBkiZ2m/aeyLu5MGd8v2bpSTOf3dMR1LXugKAmFS7dm2zYUSlhp2kVruvbG3EXT5/Sr5p8aRcvXjW7JhauXJlew8AAMA9LIQCAC6kW8FrYJWneKUoBVYqfY6C8nyLnnLr1i359NNPbS0AxIy1a9eawCp99gJSo00fWxs5SVOmk4bvDTXnn3zyibkFAAC4H6EVALjQsGHDJFGS5PJa93G2JmyLx/SWc8cP2pJzlV/tKtkLPi2TJ0+WK1eu2FoAiH6DBw+WePF85PUeEySej6+tde7PmYPlyO71tuRckQovSfGqjWT16tVmtCgAAMD9CK0AwEV0DRgdqVC4/EuSPE1GWxu2xWP6yNlHhFZx4sSV0rXbyI0bN+T333+3tQ+6du2aWTeGtWMARMZ///0nCxYslGwFn5ZMuYva2rCtmDFQjj4itFJlXmpjbufOnWtunbl9+7ZMmzZNvvoq8tMRAQCAZyK0AgAX2bBhg+n4pc6Uy9ZEjzSZc5vbjRs3mtuQduzYIZ06dZLs2bNL27Zt5ZtvvrH3AED4HTt2TM6cOS2por39ymNunbVfR44cMRtN5M6dWxo3biyfffaZCeABAID3YCF2AHCRn3/+WZo2bSqvfjRSnvJ73daGFvDzdxJ4PXian460Kvl8U0mdMYcpl6vTVpKkTGfOQzp/8oh8/moeadOmjQwaNMjUTZo0yZyvWbPGlFWBAgVMx69cuXK2BjEpZcqUUqxYMVsCPNv69eulTJkyUq3px1K9ZU9bG9ra+aOD2qPD5vzPGYMlxxNlJGv+p0y5WJVXzFpY99Mg/6PqSeXZypVkwYIFpm7RokXSv39/c+uQJUsWadCggbz44osSJ04cWwt4Bt0oRcNXAEDEEVoBgItoiNSlSxd5+4clkrNoeVsb2pgeDeXapfPmfN+m5ZIpz5OSKGlKU2704QhJlSG7OQ/pv//uyEd+SYM6czUlR44cMnr0aLl8+bK9F7FJg6vy5cvLRx99JM8884ytBTyPLsCuOwc2eO9HeaZmS1sb2i/9O8vx/dvM+eGdayVluqySLE0mU37hjf+F2e5907yoZEiZQF555RXTTh4/ftzeE5qvr68E/d1qS4Bn0d/Pfn5+Zm04AED4EVoBgIvoelI6Ra/xJ2PN4sOP0q1qAnnru8Vmp8GHuX7lgvSonV4aNWpkRifoKKsxY8aY6Ygh6UgrDU5y5sxpaxCTdBrTnj17ZNasWabs7+9vDsAT/fHHH/Lcc8+JX3P/oOPRu/192bSwPNuoq5Su1drWhK17jZRSrGgRsy7f9OnTTfsVEBBg7w2mI620/XriiSdsDeA5dE3Lffv2yZw5c0x506ZNUqhQIXMOAHg4QisAcBFdaLhevXry7KvvSs03P7e1YQtvaLX7799keLcXpXPnzqEWKtb1rMaNG2c6gKdOnTJ1efPmle3bt5tzuIZ2wl977TVzvnPnTqaIwCPt3r3bBEa641/zT6fa2rCFN7Q6e2y/9H29oNSqVUtmzJhha0UOHz5s2q9Ro0bJwYPBG1IkSpTIrK2VOHFiUwY8jb6x9N5770nhwoWdruMGAHgQC7EDgIs8+eST5vbffzaZ20fJXaySJEqawpbC9u+e4D98ixcvbm4d9F3czz//3HT+fv31VzP1pmbNmvZeuEr9+vVl69at5vyDDz4wt4Cn0bA1cZIk4W6/chQuLcnTZLalsB217VeJEiXMrYOuAfTxxx+b0YpLly6V1q1bS7Vq1Qis4NHeeecdGT9+vHnzqHfv3rYWAPAwjLQCABfShbkPHD4mvX49YWuibkLvJrJp6VQ5evSopEv34ELtcA86fVPDq23bgtf8ATyNLoSuAfhn889J/ATREx4tHNlTfh/f10w/LF26tK0FHm8ayurfA47pggCAsDHSCgBc6I033pBrl8/L3wvG2pqoOXFwh2z/c7ZZIJnAyr3pSBUd9QZ4Km2/1G/jvjC3UXX14hlZO2+kGRXKRgXwJhparVq1ypYAAA9DaAUALvTmm29KmjRpZUa/jnLiQNTWlrp546qM/qS+3Ay8zgLfHkCnNV2/ft2WAM+j04uLlyghyyZ9Lf+sX2prI+e///6Tcf97TS6ePSk9e/aUOHHi2HuAx1+SJEnk4sWLtgQAeBhCKwBwIV1IeMSI4XIr8LqM6dHQBE+RNeXLNnLm6F7p0qXLA+tZAUBMGDlihMT39TXTki+djfw059/HfyF7NwaYIOzll1+2tQAAAKERWgGAi2kn7aOPPpLTR/6RAe3KR3jE1dVLZ2XCp6/LpmXTpGLFimaxdQBwBd1BcPiwYXLlwmkZ8HY52btxub0nfDSw/3XQu7J49KdmyqwuSg0AABAWQisAiAX/+9//5O2335bjB7bL921KyW/jPpf//rtj7w3bjr/myTfNnzSBVZkyZWTKlCkSL148ey8AxLxXX31VvvrqK7lw6qgM7eonv/TvJDdvXLP3hu3Q9tXybaunZMX0gZIzZ06ZO3euJE2a1N4LAADwIHYPBIBYNGrUKLMF9o0bNyRR0pSSo0gZc+R8opxkzf+UnDqyRw5s/UsObtNjlZw/GbyQd7t27eTbb78VHx8fU4b70+3N9Qj6vWtrAM+2aNEiadq0mZw7d1biJ0gk2Qs9I7mKlpfshUubduzCySNycPuqoGO1HNqxRk4e3Gk+rlatWjJ69GhJnjy5KQPexs/PTwICAvh9AADhQGgFALHsyJEj0rZtW9MBfJT8+fPLsGHDpGzZsrYGnoLQCo+jM2fOSPfu3U0Ar4urP0zmzJnlu+++Yw0reD1CKwAIP0IrAHAThw8flr/++ku2bNlizk+cOCGpUqUyHb2CBQuaoKpw4cLssuWhCK3wONPwauXKlbJhwwY5dOiQHD16VJIlS2bar3z58knp0qWlRIkSTGcGghBaAUD4EVoBgJvSgEOnDqZIkcLWwJMRWsGbTJgwwYTsGlQBCI3QCgDCj4XYAcAN6TSbESNGsLMWAI+kbZeuWwUAABAVhFYA4IZWrFgh//77rwwfPtzWAIBnOHbsmPz+++8yefJkuX79uq0FAACIOEIrAHBDjhFW27Ztk/Xr15tzeDYdPcd6ZPAGEydONLfnzp2TX375xZwDAABEBqEVALgZHZkwY8YMWxKm2DwmCK3gLcaNG2fPRMaMGWPPAAAAIo7QCgDczOzZs+XChQu2JDJp0iSm2ADwCJs2bZLt27fbksiSJUvk4MGDtgQAABAxhFYA4GZ0ao2vr6859/HxMQHWrFmzTBmei5FW8AaOqYEJEyaU+PHjm+/7sWPHmjoAAICIIrQCADdy6tQpWbBggdSuXduUq1atKgkSJJCRI0eaMjwXoRUed7dv3zbr8T355JOSPXt2KViwoLnVDSX0+x8AACCiCK0AwI0cPXpUihcvLo0bN5ZkyZKZaYGvv/66JEqUSG7evGmvgiei047H3YkTJ6RQoUKmzQoMDJTLly/Lm2++KXny5JHjx4/bqwAAAMIvTtAfFfwVDQBuKGnSpFK9evVQi7LDc/n7+8t3330nV65csTXA4+upp54ywdXWrVttDQAHPz8/CQgIMD8jAICHY6QVALipePHiyZ07d2wJno7pgfAm2n7pdEEAAICoILQCADdFp+/xwvRAeBPaLwAAEB0IrQDATcWNG5eRVo8RRlrBm9B+AQCA6EBoBQBuipEKjxdCK3gT2i8AABAdCK0AwE3R6Xu8MD0Q3kTbL0ZaAQCAqGL3QABO9evXT+bMmWNLocWPH18+/fRTKVWqlK0J9vfff8snn3wit27dsjWh1a5dWzp16mRL9+j26LpVujPp0qWTSZMm2dI9Q4YMkenTp9tSaD4+PtKrVy8pXbq0rQm2fv166d69u9y8edPWhFajRg159913bemepk2byrFjx2wptLRp08rIkSMlceLEtibYTz/9JFOmTLGl0PT16U5y5cuXtzXBNm/eLB9++OHd3YT++usv87jFihUzZd1JsFu3buY8pObNm8vRo0dtKbQ0adLIsGHDJHny5LYm2IgRI5x+XZV2NvXfsWLFirYmmO4Cps8f1m5HVapUMV/f+7Vs2VIOHz5sS6GlSJHCvJaUKVPammBjxoyRcePG2VJo+vr066TPF9LOnTvNv9+NGzdsTWiVK1c2X/f7tW7dWg4cOGBLoWXLlk1GjRplS1HzwQcfyI8//igXLlywNYgp06ZNM19rZ3S0m7ZDtWrVsjXBDh48KB07dpSrV6/amtCKFy8u33zzjS3d884778j27dttKTTdAXTQoEGSJUsWWxNs5syZMnjwYKdBpr6+Dh06SJ06dWxNMP0Z0td3+fJlWxNa4cKFpX///rZ0j/5MbNq0yZZC0/Zl4MCBkj17dlsT7Ndff5UBAwaEGbS+/fbb8vLLL9tSsH///dfUO16fPue1a9ekTJkyppw/f37zOd9P2xRtm51JlCiR+Zxy5cpla4LNmzdPvv/++zBf31tvvSUNGza0pWDahuvru3Tpkq0JLV++fOb3yv20TVu9erUthaavT39X5smTx9YEW7BggdkpNKzQrlWrVvLaa6/ZUrCTJ09K27Zt5eLFi7YmtLx58zr9nu7Zs6f8+eefthRaqlSpTPt/f/uK2MfugQAQfoRWAJzq0aOH9O3b15ZCS5gwoSxevPiBUEj/sNc/xK5fv25rQtOgQcOu+5UsWVK2bNliS6EVKVJEVq5caToHIX322WcmmHJGX9/8+fMfCIU0VKtWrVqYndL33ntPPv/8c1u655lnnpGNGzfaUmgFCxY04VKSJElsTbCvv/7aaYDjoF8/DVFC2rBhg3l9YXWqtMP67bff2tI9ZcuWlXXr1tlSaNrZ0887WbJktiaYdqj03yMs+vV77rnnbCmY/hs9++yzYb6+du3ayQ8//GBL91SqVElWrVplS6Hp69P7tHMVknaYnQWIDnPnzjXfayHt2LHDPFdYoZCGU846zVWrVpUVK1bY0oP08e7//osMDa2GDh0q58+ftzWIKRp4ajAQFg1s69evb0vBNLTSn6XTp0/bmtDq1asnP//8sy3do/X6/ehMxowZzfd35syZbU0wfX4Nm8MyduxYefXVV20p2JEjR6RcuXJy/PhxWxOahnAzZsywpXteeeUV+eWXX2wpNA3dtf3KkSOHrQmmgXuTJk1s6UEa1N9/v4ZC+jshrNf3wgsvmDDsfvqmxdSpU20pNH19GsjcH1pp6NeoUSNbetDw4cOlWbNmthRM3xjR16fhmjPanjj7d2zRooVMnDjRlkJLnTq1aTs0UApJP88GDRrY0oM0KHzzzTdtKdipU6fMG0FhvT4N6RcuXGhL97Rp08aE/GHZtm2bCeTgXgitACD8CK0AwE1pRy1r1qzyxx9/2Bp4Mh1RoiPwCK3gDTSk0iA+rFG0gDcjtAKA8GNNKwBwU+y+9XhhIXZ4E9ovAAAQHQitADilUz90LSfEHhZif7wQWrmOTh3WqXSIPbRfAAAgOhBaAXBK1y8Ka/FeuAadvsdLWItGI/rppgZhrUMH16D9AgAA0YHQCgDcFNNrHi+MtII30e912i8AABBVhFYAnNIOBx3s2MVIhdilO9Dp7pDRhdDKtW7dumXPEBtov2LX0qVLJXv27CyEDwDweIRWAJzSDjbTmWIXnb7YtW7dOtm3b1+YW/hHFD9PruXj42PPEBtov2LXtm3bTNu1Z88eWwMAgGcitAIAN8X0wMcLI63gTbT9IqgFAABRRWgFAG6KkQqPF0IreBNtvxRtGAAAiApCKwBOJU6c2ByIPYRWsSu6AyZCK9dJlCgR7VcsI7RyD7Q5AABPR2gFwKmRI0fK6NGjbQmxgemBsYvOnufq06ePLFq0yJYQG7T9UrRhsYP2CwDwuCC0AuBUoUKFonXnNEQcI61iV3R3thlp5To5c+aUp556ypYQGxhpFbsc64mxrhgAwNMRWgGAm9JOH6MUYo9jeplONYsOhFbwJoRWscvRbjFNFgDg6eIEBgbyFgyAGNW6dWs5ePCgLSG8Nm7cKNeuXZOyZcvaGkRE586d5cUXX7SliDt8+LD88ccf0rhxY1sTNW+//bbMnDlTjh07ZmvgCXr37i3Lly+3JYTX7t27zfd6+fLlxcfHx9YivCpVqiT+/v62FHFnz56VKVOmSNu2bW0N3Imfn58EBARIUD/M1gAAwkJoBSDG+fr62jPAdbTDF5VOX3Rr166dzJo1S/79919bA0/g6FwCruRu7ReiF6EVAIQfoRUAp/r162emMnXq1MnWRJ6GVpUrV5bFixfbGiDmaEdAOwTu1unTEQ+zZ8+Wo0eP2hrElGnTpsnatWvlyy+/tDWRp99LivYLrqK/MwmtHm+EVgAQfqxpBcCpUaNGyYgRI2wJQFSxILLrTJo0SQYMGGBLAAAA8FSEVgAAuAALsQMAAAARQ2gFwCntXNPBhjfTzQMmTJhgS1FHaOVat27dsmeA9zl9+rQMGzbMlgAA8FyEVgAAOKHTy1q2bClnzpyxNVHD9EAArqLrurVv315Wr15tawAA8EyEVgCc0g42nWx4M8dInZs3b5rbqGKklWv5+PjYM8D7RHf7BQBAbCG0AgDARQitAAAAgPAjtALgVLx48cwBeKu4caP3VyQjF11H2y5GWsGbOQJygnIAgKcjtALg1AcffCAfffSRLT3+bt++LdWqVXvg0DWN/vnnH3tV+K1cudKePdzZs2fN82zdutXWwF1Ed8hEaOU6bdq0ka+++sqWvEPTpk0faL8aNmwoq1atsleEX0TWQapTp44sWLDAluAuaG8AAI8LQisATjVq1EheeeUVW3r86R/4y5cvl6RJk0rlypXvHidOnJDSpUvL/v377ZWP9uWXX0rXrl1t6eECAwPN854/f97WwF3ERGjFqAfX8PPzk7Zt29qSd1izZo1cv349VPvl6+srVatWlT///NNe9WgzZ86UmjVr2tKjrVixQo4fP25LcDeEVwAAT0doBQAh1KhRQ/z9/e8eU6dONQvajh8/3l7xaBcvXrRnwD10HhHTNGAP2X5pu5UrVy4ZOnSoveLRLly4YM8AAABiH6EVADxE4sSJJXXq1KFGyCxevFgqVapkRjHoUaRIEZk+fbq5TzuJkyZNkt27d5vpOY4RCFqfNWtW83gVKlSQRYsWmXqH9evXS8WKFSVJkiSSPn16M9ohLIMGDZKvv/5a3n33XcmRI4ckSJDAjIq7evWqvULMlKB69epJunTpJHv27NKiRQszasxBpw3p69TXlCpVKtmzZ4+8/vrr8vPPP0uJEiXM55UmTRqZO3eujB07VgoUKGAe65133pEbN27YR3m8lSlTxvwbZsyY0dZEDSOt4Gr6/ZYtW7ZQgenGjRvNSCpti/TnXNuQgQMHmvuWLl0q33zzjWlL9Ht/3bp1pl7bvEKFCpm2pmTJkjJhwgRTr/Q59u3bJy+++KKkTJlSkidPLv3797f3PuiXX36Rzp07S79+/SRv3rzmNehz/fvvv/YKMe1ns2bNzGvTdqdu3bqmjXLQtm/06NFStGhRSZgwoXl93bp1M3XPP/+8eUwdNathnX5O+pr1tTVu3FjOnDljH+XxVqxYMfN7Kl++fLYGAADPRGgFACHo+lUBAQF3O2868ipRokR3pxqdPHlS6tevL3ny5DFTcTTA0ek3GgpdvnzZdBLKly8vmTJlMiMdtKM0Z84ceeutt6RXr15y6tQps16YrgMTct2Yb7/91jzflStXpHnz5ubxQoZQIWkHsXfv3nL06FETTs2bN8+EYI6O4pYtW6RKlSombNuwYYO5/9ixY/Lcc8/d3QZdP047efoxn3/+uekc6uvp2LGjfPrpp2ba4ksvvWTWydFrfv31V/n7779N0PXjjz+ax3jcvfrqq+ZrF10IrRCT9HvryJEjpv3S44cffjAhzaZNm6R79+7mGl27T9sebbe0LdKf8y5dupjpzLt27TIBvP7cazil7Vfu3Lll+/btJpDSUFvbkeHDh0v79u1lypQp5jH1eTVI1zZOpzl/99138t5774UKmULScGrUqFEya9YssxaWtlE7d+6Unj17mvtPnz5t2lBta+fPn2+CMw2gNOw/d+6cuUY/J33NGl6NHDlSChYsKJs3bzbtl75+/bw+/vhjc42+Lg3IdIq3vjnQo0cP8xiPO30T5LfffpMMGTLYGgAAPBOhFQCn/vjjD3N4G+3o6Xo4+m69dnqWLFliRiVo+KQ0SHr//fdNJ013l9MOmwZa2gnUDqOOatIjWbJkZk0ZHQUwePBgM7KpVatWZiRV7dq1TUcx5Mgn7Ujp1B6lo5muXbsW5gLwd+7cMUHamDFjTDimYZSORHAs/q6jIHS01pAhQ8xIqieeeMKMQNCwSwM0Bw3fXn75ZWnXrp0ZmaChir5OfX2O+zWI06+JjrTSYKts2bKm44eIY3qg62jQMnv2bFvyDvr9pSM0tf3SQ9upadOmSbly5SRz5szmGv15bt26tWk7tC1Sb7/9trnV0Erbjfz585vdF7X90lGYP/30k2mbPvnkExOE60hMDbYd0wj1eXXhew2LlLZz2p5oiOSMtl/avk2cONGMtNKgTNsgx+8bHYml948bN04KFy5s2lMNpuLHj29ei9Ln1GBLw30N5nQ0mdLRkRqoKR1pevPmTfO6NcDRz6VWrVomJAMAAJ6D0AqAU9rh0cPb6DQZfZdeDw2idDSAdqJ0xJHKmTOn6QTpCBwNmjT0qV69urkvrGlza9eulWeeecaWgunoJkcnT2nnzUEDL3Xp0iVzez8NyrRjqaMhHLRDph09pZ3Pp59+2nQcHTTc0tBp27ZttkbMWjchaUdQR1Y4OB5fpwU5aEdXvzaIOP36MtLKNT777DN54403bMk76PeWjjRytF966IgrDdN1+p2GRSlSpDAjqHbs2GFGfuroKQ21lWMU5v10BGapUqVsKZgG6xpUOWh75KCvQ0N+Dcic0fs1/NI2ySFk+6VTA7Ud0mmBDtqWPfXUUyaMVPq53N9+KR0B66DTHxXtFwAAno3QCoBT2oEIa3ra40yDBQftXOn0QF1/Rdes0hBJp7FoB0unsuhUGO30OdazCkvI8CgsOrLBwfEaQr6WkLTDdv9j6rVar7Sz5uxj9fMJ2WHTkQsh6cf4+PjY0j3314X1uvBw+nXTfwPEPJ26q1NtvYmzn0sdGamjonQdKx35pG2WjlzSKXOHDx+WF154wYy+fNj35aPaL31eHXUakrZFjvbofnp9yMBdaZ3j9Wuw5Oxz0dcY8o0BZ+1SyDrHY4RsWwEAgOchtALglHYQvLGD7exz1jVYdJqfdrR0HRe91XVWdK0nnUJ39uxZe2Ww+x9DF8J1LGjsoGGXrikVE3Qqn47u0qkxDroWja7polNxEH76NYsu2on2xp+p2BLWyKHHVVjfW/qzrzRs1zWkdHMInUqsa1PpCFINevR7U9e7Uvo4IR9L26/7pwTraK0GDRrYUvTS59OfO11zy0HDKm1Dab8iRketAQDg6QitAITJ2bvdjztdPNixkLGun6LTYHSRdF0HRkccaGClI64OHDhgrtepeJ06dTLnjpFpeo0uJqyPoSPWdDFg3ZVPFx/Wnat0PZmpU6eadVZiwptvvmlGmeg6MTo1aOvWrWZxd13fStd0Qfhox1wDwLCmaQLuJuRC7LomlK7LpyNFdQqzTg92jJpyrOukgVaTJk3MuWN6nq6Xp+fLli0zgbx+vIZcX3zxhWm/dGSWrumn60fFBH0jIEuWLGb3QJ0OeOjQITPVU4Mrb5vyGRW6jqFO/dSNOQAA8GSEVgCc8sbASjkWYtejQ4cOZvelPn36yJdffmnu10BId+Z78sknTQdQyxpq6SgGx3pRugCwfv30MXRKjq5dpYGVTtPRdVy+//57E1o5FjyPbhkzZpQVK1bIwYMHzdowuhaM7rqlO3E51nnBoznCquiaZsZIK9dyNtX1cRdyIXZdEF0XO9eFyXVzBqW7AGoYpDsIavulIbYG2rrQuobbShdg17BWgy4NqDT40N1JdedQbb80yNf2UHcIjAka+uvurbq2n7Zdut7fmjVrzNqCGmYhfBxrijkWzAcAwFPFCQwM9M6eKYCHKlasmOlkh7UDVERo50g7QosXL7Y1nk/f/dcAwrFrVXjo11PXxAq5MHBM03VrdO0qDbK8hY4y0U67jpTSI7J0hInu/Kj/1tHx9WvUqJFZW0hH5yFm6WgdDWmjY10+/V5Sj1P7pVPvNMgOuYB6eGj7pdP3XLVOlL5GHbWqz+lN9HdmVNsv3VRER/nqDrgVKlSwtXAX2q7o7yo2BgCAR2OkFQBEgi5mHJHASmnI5crASulr9KbAyp156+hFuB/dmS+igZUqWLCgSxc21xGs3hZYAQCA0AitADhVsmRJKVeunC0B3uf+HdGiiumBrvPMM8+YKW+At3K0NbQ5AABPR2gFwKmRI0fKjz/+aEuA9wlry/7IIrRynQ8++MCsiwR4K8fITkZ4AgA8HaEVAAAuQOcRAAAAiBhCKwAAnEibNq25TZEihbmNKkZaAXAVXbdMZciQwdwCAOCpCK0AAHDik08+MTs7JUqUyNZEDaEVAFfR3Uq1/WIhewCApyO0AgAAAAAAgNshtALgVJMmTaRp06a2BCCqGGnlOr169WL3UwAAgMdAnMDAQFaGBfCAYsWKmU725s2bbU3k+fr6SuXKlW0JiHkBAQHi7+9vDndRt25d2bt3r2zZssXWIKbUr19f5s+fL1evXrU1kefn52fPANdwx/YL0UvbFf131imcAICHI7QC4FR0hlZlypSR9evX2xLgGpMmTTLhhbuoU6eO7Nu3j9DKBaIztKpXr57MnTvXlgDXILR6vBFaAUD4EVoBcKp48eImtNq0aZOtgavduXNHJk+eLI0bN7Y1cKVx48bJZ599Jjt37rQ1UfPSSy/JgQMHoiUIxsNpaDV79mw6hLFMf4aYZh47li5dKs2bN5e1a9eyg6AbIrQCgPBjTSsATmlgpQdiz7x58+SLL76wJbjaunXrzMio48eP25qo0Z8n1rRyHR8fH3uG2LBr1y5599135ebNm7YGrrRt2zbTdu3Zs8fWAADgmQitAMBN6SgF7fgx2u3xQAgMbzJ27Fg5f/68GfEGAAAQWYRWAOCGtLM3Z84cc66dP3g+RlrBW+jU5tGjR5tzxy0AAEBkEFoBcCpx4sTmQOyYOHHi3Wk1Ic/hOtEdMBFauU6iRIlov2LR4sWL5dSpU3fPT5w4Yc7herQ5AABPR2gFwKmRI0fyDnksCvm1P3PmjNkJDa4VE6EVXKNPnz6yaNEiW4KrhRwdevv2bTPVGa5FWAUAeFwQWgFwqlChQlKwYEFbgitt375dNm7caEvBxowZY8/gKjrFKTox0sp1cubMKU899ZQtwZV0avOsWbNsKRihles5QnLCcgCApyO0AgA34xhlVbp06bu3c+fOvTvdBq7hmF6mU82iA6EVvMHUqVPNNv5ly5Y1ZW2/duzYIX///bcpwzUc7RbTZAEAno7QCgDcjE5rKlKkiJlWo5544gkz6icgIMCU4Rrt2rUzAWKKFClsTdQQWsEb/Pbbb5IyZUrJmDGjKefOndvcLlmyxNzCNerVqyf9+/dnxCEAwOMRWgGAm9mwYYMZWVWtWjVTLleunBw5ckQaNGhgynCNbNmySePGjW0JQHj8/PPPsn79+rsjrfR2//790q1bN1OGa6ROnVratm1rSwAAeC5CKwBO9evXT3744QdbgivpaJzMmTPLxYsXTbl69eqSPn16cw7PxUgr15k2bZp88MEHtgRXy5o1q/j4+JhzHSmaJUsWcw4AABBRhFYAnBo1apSMGDHClgBEFaGV60yaNEkGDBhgSwAAAPBUhFYAALgAu3gBAAAAEUNoBcApHRHCqBB4s4MHD8qECRNsKeoYaeVat27dsmeA9zl9+rQMGzbMlgAA8FyEVgAAOKHTy1q2bClnzpyxNVFDaAXAVXRdt/bt28vq1attDQAAnonQCoBT2sFmOhO8mWOkzs2bN81tVPHz5FqOhcABbxTd7RcAALElTmBgIH9FA3hAsWLFTCd78+bNtibynqvmJ38sD7AlwDWGDx8uzZo1s6WI69y5swwePFgOHTokGTNmtLWRV7lyZQn6nSt//fWXrUFMqV+/vsyfP1+uXr1qayLv/fffZydVuJy/v785ImvgwIHStWtXWbJkiVSoUMHWwl34+flJQECA+Z0AAHg4QisATpUsWdKEVuvXr7c1kefr6yvFn6lsSwiv40cPytXLFyVV2gySKk16W4vw2LgmIMqdPu3waccvukKrSpUqmdEPK1eutDWIKY0aNZIFCxbIhQsXbE3kaefywjVbQLidPvmvXDx3RlKkSitp0meytQiP6Gi/Bg0aJF26dJGlS5dK+fLlbS3cBaEVAIQfoRUAp/SPqfjx40u5cuVsTeQ5Qqvvx/5ma4CYox2+Ls2quV1oVbFiRbl9+zahlQts27ZN/vnnH6lTp46tiTxHaEX7BVepUjA+odVjjtAKAMKPNa0AOKVTmaIjsAI81Z07d+xZ9NCRiyzE7hpFihSJlsAK8FSONfRYSw8A4OkIrQAAcBFCKwAAACD8CK0AAHCiTJkyUq1atWiZGqgY8QDAVXQzFV1HL1++fLYGAADPRGgFAIATr776qsybN8+Woo7pgQBcRdfQ++233yRDhgy2BgAAz0RoBcCp06dPmwNA9CC0cp2rV6/KkSNHbAkAAACeitAKgFN169Y1B4DowfRA12nXrp2UKlXKlgAAAOCpCK0AOHXp0iW5ePGiLQGIKkZauc7ly5flwoULtgQAAABPRWgFwCntXNPBhrfbv3+/PYs6QivXunXrlj0DvNPu3bvtGQAAnovQCgDuc+P6NVm+aIaMGdhbFv4yVu7cvm3viX47N6+VycO/kYk/fSXHjx60tQ935dIFmTF+kHza9XXp0bGhTB7xrdwMvGHvRXTp06ePFChQwJaijumBcIXbt2/J6oD5MnbwZzJzwmC5dvWyvSf6Hdq3S6aO/sE81/4922ztw2n7Om/aKPniwzfk47Z1TTt79TKjeqPbpEmT5IknnpA9e/bYGgAAPBOhFQCntIPtjZ3sU8ePSONq+U2IpJ0/7VB1a/OiOY9u/Xp1CHrsWnLi2CHZt2uLtHqphOzc8re917k/Fv8ijarmkV8n/ShJkiaTRImTmtCrdd2Scvb0cXsVooNjI4Ljx6Pn68pIK9fy8fGxZ97jxvWr8ma9UjLw865y/doVWfzrBHn7lfJy6eI5e0X0mTLqe3nz5VJBbddm0/ZoG/TH4pn2Xue2bfhLmjxfSMYM6m3eDEifKat5Y6DJ84XDHXohfM6cOWNuT5w4YW4BAPBUhFYAEMLgvu9L0ZLl5cdpq+SNTr3km5ELZd3K32XD6mX2iuixae1ymT1luIz8db108u8vn3w7TgoUfVom/vSlveJB2zaukp6dGknjNt1k9Nwt8u6nP8pHX46SacsPSoKEiaVHx1fslXBHhFaIaROGfinxfRPImHlb5c13Pw9qvxbIyeNH5LfZk+wV0ePEvwdl6DcfyXdjFssHX4yQzj0GyEuvvikjfuhpr3jQyWOHTUhfqoKf/Lx0n3T/eox07jlQJv62R558uoJ8EHTfrZuB9moAAIBghFYAEMJztV6Vxm92syWRDFmyS9x48eTsKeejbXT6zQkn0/ru3Lkjowb0sqUHpUmXST74fLikzZDF1ohkzZE3zOdRk4Z9LekzZpPXWr9na4L5xPeVjt2/l8zZcsvF88HvrqsNq5ZK3w9byUdt68jYQX3k6pVL9h6RlUtmmylEyxZMM9MMu7aoLr9O/sncp+GKXn//qK892zfK+B+/sCVEFKEVYtpTZavKW+/3NW2WSpwkmaRMnVbOnzlpyvcb+UNP01bd7+A/22X+9NG29CBtc97p3k8KFytta0QyZc0V1H6FPapn+tgBJpRq98FXtuaett2+lIJFn5ZjRw7YGpG9OzfLtz3ayYdv1pahX38oZ04ds/eIbFn3pxlFpm8mfPFBS+nc9DmZMLTv3RGxsyb+KGv+WGjOHU4eOySjB37KVEQAADwMoRUAp4oWLSolS5a0Je9RoVodyV/kKXO+e9t66fNeM0mVOr2UrvSCqbvfcy82ku7t65tRBA7aCWzboLQ8Xa6arXlQ1pz5pHqdJub8wrnTJjBa+Ms4efGV1qbOmc1r/5Dyz9WWOHEfbLp1dNjHX42W5CnTmLKGTj3faSQ58xWWF+o1k7V/LpY3ape4G1z9uWS2fN+ro/zQu5MkT5FKUgR93Pf/a2/W8tJgZVfQ5z5u8GfmWofJI74J+ppssKXHX1wnX2d4hmLFiknx4sVtyXsUf6aylCj9rDk/vH+3DPisiwmSqtZsZOruV6R4Wen4WqVQwdWxo/ul97tNpaJfXVvzIA3d6zRua851zazf50ySScO/kdqNwm6/tqz/07y2ZMlT2Zp7MmbJIZ8OmCrZcuU3ZQ2kOjauLClSpZVaQW3ioaDPpVmNJ+TY4eCNETS0GvrNx2ZNv6AGK+jj8smIfj1kysjvzf3Hjuw3069Dmjt1pCyZ+7MkTprc1jzeHAE5QTkAwNPxFzkAp8aPHy+jRo2yJe8zZ8oIeat+aVk2f6q83vZD03lyRkOi70YvlA/frGWCK0dg1bbbVyZIepT/gq5vUDG7CYw0LCtbuYa9JzQdQaDr0mTMktPWhO3fQ/vMKK+Pvholr7Z6Vyo/X1++H7PYjHL4ecS39ioxo7JGz9lkpuj07DfJjNJYvugXc1/N+i1k1fL5cvnieVPWjumK32ZJjfrNTdkbOBuBEhWMtHKdHj16yMqVK23J+2xcEyDNahSRGeMGmp/lrLny2XtCK135BWn29icmuFIaWPm/3UD6jftdkiZPaeoeRdtJDfcTJUostRqGHVpdPHdGMmTObkth03W5vuvZXlp27Cmtu/Q2byR8NniG5MhTUIZ9/4m9SuTMyX+l/4Rl8lHfkWaqtE5P1NBdvdiwlRm1tX3TalNW86aPltqvtLGlx5+2NyFvAQDwVIRWAOBE5efryYKNF8T/2/FmnSudRhMWDa6+GbXITMNr36iCvPleX3mqTBV778Pd+e+OzPn7jAyZ+pdZi+atBmUk8MZ1e+898eL5mCk5gTeu2Zqw6XpZPj7xpUzlmrYmeDrPMxWry47Na22NSJ6CT4YK4zJkyiaXLwWHVOWq1DIjIhbNGm/KAQtnmKlGZSo5D9XwaIRWcJW8BYvJ4i1XpO/QX+WP32aZUCksGlw1afexdHi1ovTo0FC+H7s43IGVGjJlpYxbsF2KlCgnb7xUwqx35YxvgoRy4/qDbdv9dDSnLiKvYVVIFZ6rIzu33Gu/UqZOJ7nyFbElkfSZssulC8ELzuuILZ26uHDmWFPeun6lmV5YvW7w6FYAAOA5CK0AwIlkKVKbxc2rvthIarzcXH6fO9neEzZdj+rfw3t1+JSteTQNoxIkTGTWc+nw8XdmtNbmdSvsvaHpmleH9zvfvvzWrZtmzRjd/VBDL91V8P6ARDuiOhVRaYCiIVQoQdfryC9zGjeumVaoUxaVhldadjY18XGVNm1woJciRQpzG1WMeICr6M+6BtWlK9eQV1p2kYCF000bEZY7d27L4QN7TBsW0e/TJMlSmOnOXXsNMqOkVi6da+8JTa85cmC3LT1ozpThcnDvzruhfZJkoafx6fNcOBvcfqnESUO3X9re6ZsADjXqt5Ql86aYz1vbr/JVa4c5YvZxlC5dOnObIUMGcwsAgKcitAIAS6fgffVx6wd2CkyYKLEkSJDIlh509vQJeaN2cXmvz1D5cfoqs7D5+lVL7b3O6doqurhwSBpeKV/fhOb2frqu1url852OxPrz91/NNve3bt6UjFlzmqmE586EXhR5/+5tkiFzDlt6tJoN3jDreumC7npoJ9CbfPLJJ7Jr1y5JlCjsf/uIYKQVYtrw7z6R32ZPtKVgOoLTN+iIG8f5n3yrAxaYdm/ErHXy9odfm7WjHNOCw6LtwRcfvmFLwfR54vnED7OtfKbi82Zzh5Dr/zk4Fl0/feKoab/UgT3bza3D/t1bwjW90OG5Wo3kZuANs+nE0vlTg9qvFvYe79CoUSPZtGmT5MvnfGooAACegtAKACwd9bR7+waziPmlC2dNne669dvsyfLsCw1M+X66LpQGVu9/9pN5Jz9TllwydMZq+V+nRmax4LDogujTxg4IFZBNH9Nf0mXMKoWLPWNrQmvYopP5ON0tK+QUnFXL5sk3/m2ldqM2kilbLrN9vE5ZHPT5e3dHV+g1f6/8TarXed2UwyN77gJSpERZ6fdpRykU9Jq07G1y5cplz6KO0Aox7eihvTJ6wKdmpzylAffcqcOlol+9uzsKhqSB1ecfNJcRs9abnUyfq/WavPXeF9K8ZtGHBlf6WIt+GRdqh0HdTELbUJ1u6IxuPJEqbQb57P1msm/3VlsrsmvrOvHv2EBKlKkiJcs9Z3ZBzZm3sIz4ocfdjSP2BLXL82eMubt5RXjoaNNnX2hopnabUWdhbKbxOCtUqJA9AwDAcxFaAXCqSZMm0rRpU1vyHr36TzFTTF4un1Xeef1ZaflSCRPWvNbmfXtFaL9M/FE69xxgAisHR3D16+ShtuZBulBw46DH1O3cdcHkNvWeloWzxpsdALWD5Uya9Jnl6xHzgzp5f8urVfOaj9NF3HUtLd2Vq2P34J2ztLPWsft3ZkpQ3bKZpGWtYuaaBs3feWCdmEd5oV5zObRvl9R42btGKcQEpge6Tq9evaRcuXK25D10il6egsXk1efyyduNyptRUzeuX5N2H3xprwht/swxMmzm3yawctARSW907iXzpoe9EUexUpXMBg5DvuwmjarkkQ6vVTLn7/UeYnYWdEbXtPpm5AKzqUOroHZV266mzxeStg3KmI/5X79J5joNdt/x/0H+2bk5qB3OIq3rlpQ3X37GjNRq9EZXc0146cYROuXw+TpNTKAGAAA8T5zAwED+igbwAN0yXjvZmzdvtjWR5+vra7Zi/37sb7bG/e3btUXW/rnYLFb+dLlqtjb6Xbl0wUxd0ek7z1R6wSwu/Cjm3+XvP8yUmrhx40nBJ0uZNbHup7tn6TSe69evmoXhdfSCg26Hf/NmoOTO/4StcV6na9To4u2Fgp5D1/jyBLpzWpdm1cTf398c7qJIkSKSLVs2WbBgga1BTKlfv77Mnz9frl69amsiz8/PTy5cE49qv/Rnf8XiXyRz9txmXSvdmCEm6PQ7Dcd1gXUdJZUxS/imH+voKp16fP3qFclbuLgJ3e+no1y1DT5/9rQUK1VR8hUucXekoo4kO3PyuBkB6qDTDs+cPBaqTml7oG2ajj71FFUKxne79gvRS9uVgIAACeqH2RoAQFgIrQA45e2hFTyXu4ZWhQsXlhw5cpgwBTHL20MreDZCq8cfoRUAhB/TAwE4pe9os/4OvNnSpUulVatWthR1TA90rVu3btkzwPts3brVTPM/f/7hi+oDAODuCK0AOKUdbDrZ8GazZs2ScePGyfHjx21N1OjPE0Gw6/j4sIYRvNeyZctkypQpJrwCAMCTEVoBAOAihFYAAABA+BFaAQDgAoxcBAAAACKG0AqAU8mTJzcH4K2ie1QU0wNdJ1myZJIiRQpbArwXbQ4AwNMRWgFwasaMGTJnzhxbArwPoZXnGjx4sKxdu9aWAO9DWwMAeFzECQwMZL4CgBjl6+trzwDXieqW8Z07dzbhx6FDhyRjxoy2NvLy5s0rhQoVktmzZ9saeALH1vSAK0W1/Ro4cKB07dpVlixZIhUqVLC1cBeOdiWoH2ZrAABhIbQCEOPefvtt2bNnjy0hIhidE3n9+/c3IVFkvffee+Yxjh49KunSpbO1kZcnTx4pUqSI/Prrr7YGnqB3796yfPlyW0JE0H5FXqVKlaIUWg0ZMkQ6depkvnfLlClja+EuCK0AIPwIrQDATV25ckW+/fZb6dGjh62BK61evVqWLl0qH374oa2Jmty5c0vRokVl1qxZtgZ4fGlgpaGJBr9wvX/++UcmTZpkRlslSZLE1sJdEFoBQPixphUAuCntcAwdOlTu3Llja+BKpUuXjrbASmknHvAWOsJnxIgRcv78eVsDV9LpyDpSi8AKAODpCK0AODVo0CCzng9iz7hx4+TUqVOyePFiWwNPxlQp19HRbJ988oktITaMHTtWbt68KRMmTLA1AAAAEUdoBcApfYd8+PDhtgRXO3DggPz111/mXDt/8HyEVq4zfvx4pqXFIp3aPHXqVHM+ZswYcwsAABAZhFYAnLp9+7bcunXLluBqI0eOtGfBo0aYYgOEn06ppf2KPdOnT5fr16+b840bN8q2bdvMOQAAQEQRWgFwSkeEMCokduiInJCjE3Sh1ilTptgSXOXgwYNMbfJghFax5/7RoaNHj7ZncJXTp0/LsGHDbAkAAM9FaAUAbmbJkiVy7Ngx8fX1NeUECRIwRTAWDBgwQFq2bClnzpyxNVHD9EB4A53arIuwa7ultB3TTSUIEV1r2rRp0r59e7MLKgAAnozQCoBT2sHWA66no6zixYsnBQoUMOUSJUrImjVrZNeuXaYM13B0snUx6ehAaOVaPj4+9gyupBtIqGLFipnbokWLysmTJ2XhwoWmDNeI7vYLAIDYQmgFAG4mbty4UqtWLcmYMaMpV6pUSQoVKiRHjx41ZXgmQmB4A10PsWTJklKkSBFTLleunOTJk0cuXLhgygAAABFBaAXAKR2lwEiF2KHrv+jOW/ny5TPljh07yqZNm6Rq1aqmDNfQ8DA6MdLKdbTtih8/vi3Blf73v/+ZnU91hJWqV6+e7NixQxo3bmzKcA1HW0ObAwDwdIRWAJzq3r27fPrpp7YEIKoIrVzn3Xfflc8//9yWAAAA4KkIrQA49fLLL5spaoC3unPnjj2LHkwPdJ1nnnnGLEINeCtHe0O7AwDwdIRWAAC4ACOtAAAAgIghtAIAwIkyZcpItWrV7i6IH1WEVgBcRXdv1E08HGsjAgDgqQitAABw4tVXX5V58+bZUtQxTQeAq1SsWFF+++03yZAhg60BAMAzEVoBcOr06dPmABA9GGnlOlevXpUjR47YEgAAADwVoRUAp+rWrWsOANGH0Mo12rVrJ6VKlbIlAAAAeCpCKwBOXbp0SS5evGhLAKKK6YGuc/nyZblw4YItAQAAwFMRWgFwSkeEMCoE3m7//v32LOqYHuhat27dsmeAd9q9e7c9AwDAc8UJDAzkrV8ADyhevLjpZG/atMnWRN7w4cPl2LFjtoTwWrBggaxdu1a6du0qSZIksbUIr2bNmkmOHDlsKeL69Okjn376qQT9nrQ1UZM6dWqpUaOGTJgwwdYgptSvX19mz54dLf92AQEBsnz5cltCeK1Zs0YWLlwozZs3l+zZs9tahJefn5/ZwTSyJk2aZL7227Zti9EdBPfs2SP//vuvLSG83nvvPfP31eLFi20NIqJy5cr2DIA3ILQC4JRul62h1ebNm21N5Pn6+tozwHX8/f3NEVmdO3eWwYMHy6FDhyRjxoy2NvJSpUolNWvWJLRyAQ2t5s+fbxZkjyoNDzS4Alwpqu3XwIEDzRseS5YskQoVKtja6Mfvd8QGDfsIrgDvQWgFwKnoDq3yFK8k1ZpF/g9wb7Tht0mSIWchuXb5fNDX71lbi/AY2tXP7UKrlClTSq1atWT8+PG2BjElukOroxf+k+dovyJk15qFkix1Brlw+l8pVKamrUV4REf75crQqnkHfyn+DAFCRPyzI3gUe95CxcwtwmfjmgAZM7A3oRXgZQitADgVE6HVW98xDB4xb+/G5W4ZWqVIkUJeeuklGTdunK1BTImJ0OpN2i+4SLeqCTwutGrRoYetAWLO6IGfEloBXoiF2AE4VbRoUSlZsqQtAd4nbtzo/RWpITBcQ0N3XZcP8FaOTR/Y/AEA4OkIrQA4pVOYRo0aZUuA97lz5449ix4aWtGBdI0ePXrIypUrbQnwPo6QnLAcAODpCK0AAHABQisAAAAgYgitAABwQreJT5cunVlAPToQWgFwlbx585rb7Nmzm1sAADwVoRUAAE60b99eNm7cKAkTJrQ1AOAZXnjhBTl27BihFQDA4xFaAQAQBh1pFV0YaQXAldKkSWPPAADwXIRWAJxq0qSJNG3a1JYQUX8vGCuLx/R+4Phj+gC5dPaEvSp8tiyfKWvmjrSlB104ddQ89sUzx2zNPfpcet+5E4dsDWILoZXr9OrVS8qVK2dLiKjtK+eEarccx7LJ38qZo3vtVeGzd+NyWTbpG1t60M0bV81jH9+31dbcc/vWTXPf0T0bbQ0AAPA2hFYAnNqyZYts2rTJlhBRfy8cJ5uWTbOlYJfPnZLlU76Xb98oIcf2bbG1j6ah1eqHhFbnTx0O6tj1kQunj9qaey6dPW7uO3fioK1BbGEXL9fZvHmzmdqJyNHQ6q9ff7KlYNcunZO180aZ9mvnmoW29tH2bQqQpZO+tqUHBV7X0KqP0zbx9q1Ac9/RPRtsDQAA8DaEVgAQA/67c0cy5Cgkfs397x71OveXDyfskmSp0suiUb3slfAWjLSCJ0ka1E6FbL9e6vCdvD92q+R9qorMGdLNXgV4pglD+8pHbevYUsw5dfyI1Hwqlbl9lEsXzsrQbz6Szk2fkxdLppaGlXNKry6NZdvGVfYKAPBOhFYAnNLONR3syAvraxfPJ76ky17AjLpy0DBjzbxRMrFPMxn9SX1ZPqWfmRaD2LV06VJp1aqVLUUdoZVr3bp1y54hMoJ+A9iz0DLlLhqq/VLb/5orP3/ZWkZ+VMdM5wu8fsXeg9iydetWM83//PnztgYOi2aNlxH9ethSzDlz8l95740X5NrVy7YmbFevXJI29Z6RRb+Ml4JFn5YP+46Q11q/J6eOHZZ3Xn9W1q383V4JAN6H0AqAU9rBZjpT9DtxYLvsWrNQCpapYWtEJn/eQuYM7iZZ8z8lxas2knWLJ8jwbjXtvYgts2bNknHjxsnx48dtTeTxs+R6Pj4+9gzRRdfIW7dovBQqe6990ul743q+Kqkz5pBnaraU/Vv+lO/blDJrVSH2LFu2TKZMmWLCKwS7eP6MfPHhG9L3o1aSIXPM7qo4f8YYaV33abkdzvB89IBe5vUNmBggbbt9KRX96snLTTtI/wnLJE+BJ6Xfpx35PQLAaxFaAUAM2bfpD/mxi9/dY2CHSvJdq6ckd7GKUqlhJ3PNwe2rZMPvk6V5n2lS6ZXOUrzqK9K+/1I5unujWVcGjwdHZ4ORVvAUZ/7dF6r9GtLpOfn81bySLHUGefGtL8w1F88cl9/HfS51O/UzUwifqFhX2nw9X3x8fGXlLz+aawB3sXfXFtm8drn0G/u7FCtV2daGTafn7dv94Fprbeo9bUZrPczPI76RGvVbyEdfjbY1Ybt9+5YsmDFWXm7SXjJnz21rg8WNF0/e/XSIfPzl6Lu/P/YFfR46bfDl8lnlpWfSS4+ODeXYkQPmPvV2o/IyecS34t+hgbz4dBp5vlgyGdCns9y6GSgXzp0WvycSS8DC6fbqYH3eaybd29WzJQBwL4RWABATgv64TJIyreQpXskcaTLnlkPbV0vNoM5eq76zJX6CROayQzvWBl0aV/ZtWm6m1egRMOV7iZ8wkRzZvd5c8yj68eY2jOk8Kq69BrGD0AqexjdRkrvtV+a8T8rBbX/J0y80k3d+XCVJU6Yz1+gC6Xfu3JZTh3ffbb9+G9vHtH/hXTz97s+Ek58Nx31x49J+IepKlH5WJv3+jzz5dAVTftTIpd4Dp0mXptVCBVc6eqpI8bJSvU4TW+Pc6Llb5M13P7/7u/dhz6XTCC9dPCeFij1ja0Ir8ETJu/fptW83qiCB169J/wlLZej01aa+w6sVQ01DHDf4M6lQ7SWZumy/9Bk0XWaMH2SCqhSp0kq5qrXl9zk/2yvFfNwfi2eakA0A3BF/BQBwKnny5OZA5Ny/EHvD94cG3X4ic3/8UHatWWSvErl++YL4+CY028KHPNJlKyAJEiezVz2cb4LE5jbQyXScq5fOmVvfREnNLcIvOgMmpnW4VrJkySRFihS2hMgIuRD7S+2/lVc+GC6r5wyXVb8OtVcEtV9XLpjbI7vWh2q/kqRIezfYehTfhEnM7c3rD7ZfVy6cNbe0X5FHUB55urbUl8PnmuDq0L6d0rpOSXmiRFnp3HOAvSJ6XDwf/Hs6UeJHf5//PvdnE+J+9OUoyZozn2TKlsucXw/6+Vkwc6y5Rn/fPFPxeXm+bjNJnDS5lKpQXbLlyi/792w399es30L+Wjrnbsj1x6KZ5rnLV61tygDgbgitADg1Y8YMmTOH6WmR5ayjoJ2/7IWekUmfNQ/qjJ02dboOjC7O3vb7xaGOF9/6XIpWrGuueZRUQY8RN56PWS/rfqeP7A56LXHNNYiYmAit6EC6xuDBg2Xt2rW2hMi4f+TmU36NzfHroPfvtjWpM+U0t017TgzVftV9p5+UrtXa3PcoGtqnSJtZTh7aaWvuOX30H3OrI1URMbQ10UODq74/zZY3aheXjFlzRntgpZImT2luL1969KL5h/fvkpz5Ct/9GKWBU75CxWXvzk3BFUG/b9JlzBJ8bun1jg1eNNBKkTqdBCycYcqLfp0g1es2kTiMaATgpmidADiVLl06SZny3h9FiBgNKZyNrqnXub8ZnTBnyAemrAuya+fi14Fd7/5BqdMCB7avKJfOnTDlR9ERWUUr1ZOFI3vJgS1/2loJ6gTukmWTvzP3JUrKv2VE3blzx55FHzqSrpE4cWLJmjWrLSEy/vvvwe//Wm2/lHjxfWXaN+1MOWv+kpI+ewGZ+k1buX71oqm7cPpfGfxOlXBPb1Y67VDXwNqyfObddvPimWOyYLi/ZMlXQjLnLW7qEH6Or6Oz30OImNEDP5XWXfqY0VYnjx22tdFHF4VPmSa9bFr7h60J7c/ff5X2jSrIuTMnJGGiJE7/TYP+4hAfn/i2pFNq49mzYPoxjo/TcOqFes3k9zmT5cypY2Znwpr1W5r7AMAdEVoBgAtpB6z8y+3NDlyOaTS6CPvWFbOkV70s8mPnajKkU1V5rslHkqNwGftRIod3rpVuVRM8cFy9FDx9pvbb30j2QqVkcNDHOu77psWTpkP5SrefzDWImPjxgzsA0bELHR1HPA50ymCttl+YDSRWzR5mRok27fWznDtxSHrXz27an29bFJMCpfykZPV7a/5cu3w+VLvlOPRxVJXG3aRYlYYyvtdr8sFzCc19fRrmlNu3AqXl5zMJeyPB0W452jFEji5yXqFaHXm19XvSb9wS+fDNWtEeXOn3d62GrWT+9NFy+sRRWxtMf3dMGfW9WfMqZer0ki1XAdm/e5tcvXLJXhG8JtU/OzZJ3kLhD3d1/aq//1ws08b0l4JPlpKceQvbewDA/cQJDAzkL2kAMcrX19cs5vvWd4ttzePv3382mQ5dhpwP/iGoW8Ef2vG3JAvqAKbPUdDU6aiGM0f3mVEKydNklHTZ8pt6dfLgTrl07qQthZaraDkzNdBBR1fptvQqSfLUkjH3E+bcm2gYOLSrn/j7+5sjsg4ePCgrVqyQ119/3dZE3o0bN8w6S61atZIhQ4bYWngCPz8/OXrhP3nTi9ovXVj9xtVLkrVASVsTmv6MJUySzITwDhpcnTt+wIz8DFV//KCcDTqcyZK/uCRMfG/tRH2Ms8eCd0GLnyChmU7tjTS0i2r7debMGZk6daq0bdvW1sQM/f3evIO/tOjQw9Z4hr4ftpLz505J36G/2poH6Q59xUtVkjqN730Nz54+Ie+/8YJ8PXKBpE6bwdaGbcemNWY3v5+X7pP0mbLZ2gdp8NThtUpy6vhR8av9mjxVtqokDvoZmz1luCybP1W+G7NYij9TWa5fuyKv+xU0QVO7bl9KvKDf/0O+6iab/14hY+ZtMQutt2tYVooFve62Qfc7tHulnBR7umKouk5Nq8r2Dauk4yf95KVX37S17k1HvY0Z2FsWL14slSs/egdIAI8HRloBQAzInLeY08BKxU+Q2IR4jsBK6bpTabPmNfUhAyul1zl28br/CBlYKR1Z5bjPGwOr6JQjR45oCazU3WkZjBiBB9A2KKzASmn7EjKYUqkyZJfcxZzUZ8xxt026/wgZWCl9DMd93hpYRZc0adLEeGDlybLnDvpdWaCoLTnXoFmHUIGV0qDqy2Fz5IaTjU+cSZIshQmQfBMktDXO6bpUg3/+U1p07CHbN6+Rz95vLl1bVJet61eaXQw1sFI6PXDwlBUmrOrYuLJ0ae4nKVOnk6HTV5nASuUv8pRkyZHXnDsUcFLXoNk78sRT5cTvpca2BgDcE6EVAKcGDRpkFjMGEHVMD3StWbNmySeffGJLABBa4ze7SZuun9mSc0VKlLNnoaXNkEUyZcllSw+n4Vi/cb+bYOlREiRMJC83aS9DpqyUeevPydKdN2XKsv1S/rmX7BXBMmTOIZ8OmCIzV/4rk5f8I117DTZ1Dl3+N0hqN2pjS8E69xz4QF1Fv7ry/djfwrVrIQDEJkIrAE6NGDFChg8fbksAooKRVq41fvx46d+/vy0BAADAUxFaAXDq9u3bcuvWLVsCEBWEVq6lOz/SfgEAAHg+QisATmnnmg42vJkuxD5hwgRbihqmB7oeoRW82enTp2XYsGG2BACA5yK0AgDAiQEDBkjLli3NLlxRxUgrAK40bdo0ad++vaxevdrWAADgmQitADilnWxGh8CbOUbq3Lx509xGBaGV6/n4hN5ZE/Am0dl+AQAQmwitAACIYYRWAAAAQMTFCQwMZCgFgAeULFnSdLTXr19vayLP19dX8hSvJLmLVbI1QMxaPKaP+Pv7myOyunbtKgMHDpRDhw5JxowZbW3kXLhwQdKlSyft2rWTH374wdYipjRq1EgWLFhgvu5R5efnJ0cv/Ce5aL/gItHRfg0aNEi6dOkiS5culfLly9va6Ke/35t38Jfiz1S2NUDM2bgmQMYM7C2LFy+WypX5ngO8BaEVAKdmzJhh/hitVauWrYk8fRzA1dwptDp//rykT59e3n77benXr5+tRUxZs2aNrF271qzpE1UaWgUEBNgS4BqeFFoBrkZoBXgXQisAMU53YTtw4IAtISJ27twpBQsWtCVERFT/oO3cubMMHjw4WkKrc+fOSYYMGUyI8v3339taeApCq8jZvXu35M+f35YQEVFtvzRw1+B9yZIlUqFCBVsb/fjZiJxr167JqVOnJHv27LYGEUFgBXgXQisAcFM6UqRXr14yZ84cWwNXis7Q6uzZs+YxCK3gLbRDXrFiRRO8w/VcFVohckaPHi07duyQL7/80tYAAMLCQuwA4KbGjRsnixYtkmPHjtkauFLdunWlefPmUQ6sFAuxw9tMmjRJ9u3bJytWrLA1cKUqVapI/fr15YknnrA1cCf6+338+PF3d3kEAISN0AoA3JBuUz558mRzrn/cwvWeffZZGTZsmC1FDaEVvI3jZ2fMmDHmFq5VpEgRExymTJnS1sBd6HIJf/zxhxmNuHDhQlsLAAgLoRUAp06fPm0OxI5Zs2aZxbvV8OHDzS08lyO0gmtcvXpVjhw5YktwtU2bNsmuXbvM+bRp0+T69evmHEDoIHfs2LH2DAAQFkIrAE7p1Cg9EDtCjq7Sd2VXr15tS/BEjLRyrXbt2kmpUqVsCa4WsiN+5coVmT59ui0B3k1/F4QMrXTNSl3zEAAQNkIrAE5dunRJLl68aEtwJWdTBng31rMRWrnW5cuX5cKFC7YEV9KpzfdPaWaKIBBs2bJloUaBhlwKAADgHKEVAKe0c00HO3ZoQHXnzh3JkSOHKefMmVOmTJnCFJtYsH//fnsWNUwPdD0WOI4d8+fPN1Obc+XKZcrajmlHXXfhhGvt3r3bnsFdOALd1KlTS+LEicXHx4c3pQDgEQitAMDN6FbYadOmlXTp0plyyZIlzaiR2bNnmzJco0+fPlKgQAFbihpGWsFbaAc8fvz4ZiFwVbRoUXPLhhKupYuw686Be/bssTWIbTpVVtd4098ruXPnNoGVLsOwfv36u2vAAQAeRGgFwCntZDM6JHb8/PPPZjqNhlVKty7XDkjNmjVNGa7h2Ijg+PHj5jY6EFq5jnYI4XrfffedTJw4UUqUKGHKFStWNEH822+/bcpwjTNnzpjbEydOmFvEvkSJEsnIkSOle/fu5u8rXYJB198bMGCAGVENAHCO0AoA3EzhwoXFz89P4sWLZ8p16tSR+vXrS5IkSUwZANxV9uzZTZuVKlUqU9YF8Rs3bny3DHiruHHjSoMGDeTVV1+VpEmTmjoNdd966y1JkCCBKQMAHkRoBQBADGN6IAAAABBxhFYAnNJ1SBzT0wBvpO+KRxdCK9cqVqyYFC9e3JYA7+Noa2hzAACejtAKgFPjx4+XUaNG2RLgfXQHx+jC+nCu1aNHD1m5cqUtAd7H0ebQ9gAAPB2hFQAAMYyRVgAAAEDEEVoBAOBEvnz5JF26dJIyZUpbE3mEVgBcKW/evOZWF8YHAMCTxQkMDGTcMIAY1bp1azl48KAtIbz2798vhw4dkoIFC0qGDBlsLcKrc+fO8uKLL9pS5Jw6dcoEV1Gl3/8agr3//vvy2Wef2Vp4gt69e8vy5cttCeF15MgR2bt3r/m+z5w5s61FeFWqVEn8/f1tKXLOnDkjadKksSW4E90hOCAgQIL6YbYGABAWQisAMc7X19eeAa6jHb6odvqiy4EDByR//vzSrVs36dOnj62FJ3B0LgFXcqf2C9GP0AoAwo/QCoBTTZo0MVOZxo0bZ2siT0OrypUry+LFi20NEHO0I6AdAnfq9OmouQIFCsgHH3xgRu4gZvXq1UsWLlwYLYux6/eSov2Cq+jvTEKrxxuhFQCEH2taAXBqy5YtsmnTJlsCEBWsaeVamzdvlo0bN9oSAAAAPBWhFQAAAAAAANwOoRUAp3RECKNC4M2WLl0qrVq1sqWoYaSV6926dcueAd5n69atZpr/+fPnbQ0AAJ6J0AqAU9rJdnS0AW80a9Yss6bb8ePHbU3kEVq5no+Pjz0DvM+yZctkypQpJrwCAMCTEVoBABDDCIABAACAiCO0AgAghjHSCgAAAIg4QisATiVPntwcgLeKzoCJ0Mq1kiVLJilSpLAlwHvR5gAAPB2hFQCnZsyYIXPmzLGlx9/t27elWrVqDxwtW7aUf/75x14VfitXrrRnD3f27FnzPKw74n5iIrSCawwePFjWrl1rS96hadOmD7RfDRs2lFWrVtkrwm/16tX27NHq1KkjCxYssCW4C8IqAMDjgtAKgFPp0qWTlClT2tLjT0OF5cuXS9KkSaVy5cp3jxMnTkjp0qVl//799spH+/LLL6Vr16629HCBgYHmednhyf3cuXPHnkUdI61cK3HixJI1a1Zb8g5r1qyR69evh2q/fH19pWrVqvLnn3/aqx5t5syZUrNmTVt6tBUrVkTLZgWIXo42h8AcAODpCK0AIIQaNWqIv7//3WPq1KlmFNb48ePtFY928eJFewZPFj9+fHMbHbvQ0XGEK2jAHrL90nYrd+7cMnToUHvFo124cMGewZM52i1HOwYAgKcitAKAh0iYMKEkSZIk1AiZxYsXS6VKlcwoBj2KFCki06dPN/f17t1bvv76a1m/fr257+DBg6Z+9OjRZuSHjgApW7asuSYkvb5ixYrmudKnT29GO4Tl3XfflTfffFPee+89yZEjhyRIkMBMAzp27Ji9QsyUoHr16pkRc9mzZ5cWLVqYUWMO2bJlk0GDBt19Tbt27ZK8efPKkCFDpESJEua1p0mTRubOnStjx46VAgUKmMd65ZVXvGZURYcOHWTUqFGSNm1aWxN5hFaIDdpupUqVypaCbdy40Yyk0p97/TnXNmTgwIHmvp9//tm0LZcuXTL3LVq0yNRrm1eoUCHT1jz11FPywQcfyM2bN819+hz79u2TF1980YzO1bUQ+/fvb+5zRqduPvvss/LDDz+YNkefR6cy7tixw14hsnv3bmnWrJl5bdru1K1bV/bs2WPvFXnuueekT58+pu3Vj583b5688MIL8tlnn8nzzz9v6nTUrIZ1S5culZIlS5rXVqtWLa+Ziq2/E/TfQYNMAAA8GaEVAISg61cFBASYjs4333xjOmK6oHPbtm3N/RrY1K9fX1566SW5ceOGOXT6jYZCly9flubNm0ujRo0kX758pqOXIUMGE3y0b99eevXqJadOnZKPP/5YunfvLr/88ot5TPXtt9+a57ty5Yp5DH28q1ev2nsfNHnyZNOB1HBq27ZtZvrPV199Ze7bsmWLVKlSRVKnTi0bNmwwHToNtLSjd+vWLXON6tu3r+nUTJw40YRSqmfPnvLpp5+aaYv6Oeo6ORqg6fpmf//9t1mrS4Mtb6Ad5tdff92WoobpgYhp+r115MgR037poaFQ48aNTZumbY7Sn39dgypXrlxmRJX+nHfp0sVMZ9bgWtsNDcM10NL2q1SpUqZt0XZQfxa0HRkxYoQJg/r162ceU59XA/C33nrLTHP+7rvvzGOEDJnup+3Spk2bZOHChXL48GE5efKkCcLU6dOnpXz58qZu/vz5sm7dOhNAVahQQc6dO2eu0efU53n//fdN+6T3KW3TtN3Sz0s/Z/28tD3TNkuneOvXR99Y8Ab6poPj9xYAAJ6M0AqAU7rOkh7eRjt6fn5+5t167fQsWbLEjEpwrO+lUy50zarOnTubjpMeHTt2NOGVdr50VJMeunuZrimjI7W0g6fverdq1cqMpKpdu7YMGzZMEiVKZB5T9ejR4+474u+8845cu3YtzAXgNQDRDomOKsiUKZMZrVC9enXT6VQTJkwwo7W0o6YjqZ544gkz0ktHQ4RcXF/Dt5dfftmMYnDQ16mvTzVo0MAEcdoR1BBOQxx9jQcOHDD3I+L0+wUxT4PcWbNm2ZJ30HZBAxxtv/TQQGfatGlSrlw5yZw5s7lGR0dpeK5TBx3TxnREoX5f7ty507Qb+fPnl3jx4pn2S0dpafulP/effPKJCcJ1JKZOO3SsGabP26ZNGxMWKW3ndKTT5s2bTfl+er22bxp05cmTxwT7GvTrv5nSMF/vHzdunBQuXNi0pyNHjjSv96effjLX6GNosKXhvgZqjp1uy5QpY94gUNp+6eerAdozzzxjPhdtyx2jXwEAgGcgtALglL77roe30Wky+i69HhpEacdXO1E64kjpVDENeXRUlAZNGvro6ASlH+OMjjjQTlNIOppKgzEHDZ4cNPBSOkUnLNqRC0k7ZI7n1/Dq6aefNh1HBw23NHRydAyVdhhD0o5gyNehI7mUfqyD1jmmBSH89GsL19FgRqeXeRNHgO5ov/TQEVc6ukin3+nGAhqUa/uloyv1a6SjpzQY0u9PXbvPGW1PdMRVSDrN7rXXXrMlMUGXg74ODfk18A6LtqMhQ3ttvxyjQHVqoK7DpdMCHbQt02mJ27dvtzUPtl8q5OtwtF+OwE5p8BVytCkAAHB/hFYAnNI/7L0xnAgZLmjnSxdm11FVumaVhkg6GkHXdtFRADoVRjt9jvWswqKjrR5FRzY4OF5DWEGHdj7vXxxcr3Vcr1N7nH2sfj4hg7WQz6n0cePGvfdrwdljaF107qrnLRxfS/03QMzTAMbb2i9nP6+6fp5Oj9N1rHTkk7ZZTz75pAnndWSorgOloy8f9n35qPZLnzdku6G0jQirndDr718cXOscr19Hozr7XPQ16hsJ6v62SunHhPw8HI/h7LEAAIDnILQC4JT+8e+NHWxnn/O///5rOm76zr0uVKy3us6KrgelU+zOnj1rrwx2/2Po1Dq9PiQNu7p162ZL0UvXp1q7dm2oTruuRaNruujCxQgf7dTriJTo4Og4e+PPVGzxthE1YX1vOTZo0NFMur6drsuna9MNHz7cjCDVAFy/Px0jrfRxQj6Wtl+6UURIOr1Qp9/FBH0+bat0/T8HDau0DaX9Cr8zZ86YaegAAHg6QisAYfLGd6i1U6cL9ToOXV9KF0lv3bq1maKia77oiCvHuk46daZTp07m3LFwuoZaupiwTs3RtVl0MWANu3RBdu1IjBkzRqZOnWp2C4wJuvuXLujerl07MzVId8vS6Yi6Bo1O60H46C5numbOw6ZphhejPeAKq1evDtV+6bp8OlJU17zT6cHafildCF1poNWkSRNzrm2V0ml7er5s2TLTXunHa8j1xRdfmLKOzNL1qHT9qJigbwRkyZLFTO/U6YCHDh2SN954wwRXeovw0fXNdH0vx781AACeitAKgFPe2sm+P7T67bffzNbquvi6atmypVnDSqfYaIilAZGGWjqKwbFeVL169czXTwMPHTGgCxRrYKUdPV2rRXff0tDKseB5dMuYMaPpZJ44ccIsmvzqq6+axdhXrFhhpg4ifBydeA0Ao8rx88RIK9e5fwqtN1izZk2o9ktHCmpwoZszKF3bSoMf3UFQ2y8NsTXQ1oXWNdxWugC7jtbUnQd1x1BtOxYtWmTaRm2/dLqhtoe6wHlM0NBfAzNd9F3X/dNwX4M03cVQwyyEz/Xr181tdLRfAADEpjiBgYG8/QvgAcWKFTMd7bB2gIoI7RxpR0i3UAdimo5w093TdAqTHpGlI0x0tJWO9NAgMCp0epWOTNEgwbG1P2KOjtaZP3/+3dGPUaHfS4r2C66ivzOj2n7pumU6yld3wK1QoYKthbvQdkV/V4VcZxIA4BwjrQAAiGFMDwQAAAAijtAKgFM6De6tt96yJcD73L87WVQwPdC1dGpbx44dbQnwPo62hjYHAODpCK0AOKVTo3QtFMBbhbVlf2QQWrmWTg90rEMHeCNHm8MoTwCApyO0AgAghhFaAQAAABFHaAUAgBM1a9Y0GwhEdRF2AHA1bbt0QxXd/REAAE9GaAUAgBPVq1ePth3jGGkFwJWKFi0qa9eulZQpU9oaAAA8E6EVAKdOnz5tDgBRR2jlWlevXpUjR47YEgAAADwVoRUAp+rWrWsOAFHHYsiu1a5dOylVqpQtAQAAwFPFCQwM5C9pAA/QtTC0o71582ZbE3m+vr5mfQ3AVQICAsTf398c7mDlypXy7LPPmh3tunTpYmsRU3T3wPnz55sRV1Hl5+dnzwDXcLf2C9FP2xX9dw7qh9kaAEBYCK0AOBWdoVWZMmVk/fr1tgS4xqRJk0x44Q7+/PNPqVKlinz11VfSuXNnW4uYEp2hVb169WTu3Lm2BLgGodXjjdAKAMKP0AqAU8WLFzeh1aZNm2wNXO3OnTsyefJkady4sa2BKw0fPlz69u0r//zzj62JvBUrVkjVqlUJrVxEQ6vZs2fTIYxl48aNk6ZNm9oSXGnhwoXSpk0b0/Zkz57d1sJdEFoBQPixphUApzSwYh2e2DVv3jz54osvbAmutnXrVjl06JAcP37c1kSe42eJhdhdx8fHx54hNuzatUveffdduXnzpq2BK+3Zs8e0XdqGAQDgyQitAMBNjR071nT8GO3m+Qit4G20/Tp//rz8+uuvtgYAACDiCK0AwA1pZ8+xjo52/uDZGLUIb6JTm0ePHm3Ox4wZY24BAAAig9AKgFNFixaVkiVL2hJcbeLEiXen1YQ8h+vEjRt9vyIZaeVaupGErsuH2LF48WI5derU3fMTJ06Yc7iOo62hzQEAeDpCKwBOjR8/XkaNGmVLcDXHKAV15swZsxMaXEtHi0Q3OpCu0aNHD1m5cqUtwdVCjg69ffu2WZAdruUIyhnlCQDwdIRWAOBmtm/fLhs3brSlYEyx8Wx0HOEtdGrzrFmzbCkYoRUAAIgsQisAcDOOUVbPPfecua1UqZJZ38ox3QaukTx5cnObOHFicxsVTA+Et5g6darZxv/ZZ581ZW2/duzYIX///bcpwzWSJUtmblOkSGFuAQDwVIRWAOBmFi1aZNbkuXDhginnz5/fTFULCAgwZbjGp59+anZvdIRXUUFoBW/x22+/SapUqSRlypSmnC1bNnO7ZMkScwvXaN68udl5VtenBADAkxFaAYCb2bBhg5le4xhpVa5cOTly5Ig0aNDAlOE6uXLlsmdRw/RAeIuff/5Z1q1bZ9otVbp0aTlw4IB069bNlOE6hQoVsmcAAHguQisATrVq1Upat25tS3AlHY2TOXNmuXTpkin7+flJ+vTpzTk8EyOtXOuLL76QqlWr2hJcLWvWrOLj42POn3jiCdOeAQAARAahFQCndP2RNWvW2BKAqCC0ci1tv1atWmVLAAAA8FSEVgAAxDCmBwIAAAARR2gFwCkdEcKoEHizpUuXmmmy0YGRVq5369YtewZ4n61bt0qTJk3k/PnztgYAAM9EaAXAKe1kMzoE3kwXwx83bpwcP37c1kQeoZXrOdZUArzRsmXLZMqUKSa8AgDAkxFaAQAQwwitAAAAgIiLExgYyFAKAA8oVqyY6Whv3rzZ1kRe6dJlZMOG9bYEuMakSZOkfv36thRxnTt3lsGDB8uhQ4ckY8aMtjZy5s2bJ3Xr1pVBgwZJmzZtbC1iiv67z58/X65evWprIq9evXoyd+5cWwJcw9/f3xyRNXDgQOnatassWbJEKlSoYGvhLnRX4ICAAAnqh9kaAEBYCK0AOFWxYkUTWq1YscLWRJ6vr68Uf6ayLSG8jh89KNevXZEUqdJKqjTpbS3CY+OagCh3+rp06WJCpugIrTT00PBDQ7DWrVvbWsSUFi1ayMKFC+XYsWO2JvK0c3nhmi0g3E6f/FcuXzwvSZOnlLTpM9tahEd0tF+O0ErX5itfvrythbsgtAKA8CO0AuDUzp07TdiUO3duWxN5jtDq+7G/2Rog5miHr0uzam4ZWg0ZMiTaFndH2E6dOiV79+6VMmXK2JrIc4RWtF9wlSoF4xNaPeYIrQAg/FjTCoBTBQsWjJbACvBU0bkRQXQ+Fh4tXbp00RJYAZ6OtgcA4OkIrQAAcCJ+/PjmNjp2oXN0HFmIHYArONotRzsGAICnIrQCAMCJDh06yKhRoyRt2rS2JvIIrQC4UsOGDaV///5SunRpWwMAgGcitAIAwIkcOXLI66+/bktRwxQdAK6UJk0aadu2rS0BAOC5CK0AOLV8+XJzAIg6Rlq51rZt22TWrFm2BAAAAE9FaAXAKd05TQ8AUUdo5Vq9evWSZs2a2RIAAAA8FaEVAKdu3bolN2/etCUAUcH0QNe6ffs27RcAAMBjgNAKgFM6IoRRIfBmhw8flokTJ9pS1DDSyvU0eAe81ZkzZ2TYsGG2BACA5yK0AhAmbx0dcvb0cVm+aIaMGdhbFv4yVu7cvm3viV63bgbKprXLZfLwb2TiT1/J8aMH7T0Pd+XSBZkxfpB82vV16dGxoUwY2lfOnPzX3ovoMnjwYGnRooVcunTJ1kQdoRVi2uWL5+WvZXNl7ODPZOaEwXLt6mV7T/TSdnHn5rUydfQP5rn279lm73m4G9evybxpo+SLD9+Qj9vWlVEDesmRg//YexFdZs6cKe3bt5cNGzbYGgAAPBOhFQCnvDWw2rp+pTSomF2WL/pF/gv6T4Orbm1elNu3o3fUhj5ex8aV5ZtP3pLr16/Kvl1bpNVLJWTnlr/tFc79sfgXeeXZXPLrpB8lSdJkkihxUtNpfK1afvPaEX2uXbtmbq9cuWJuo4Lpga7n4+Njz7zHiX8PmvbhlwlD5M6d27L41wny9ivl5dLFc/aK6NP7vabywZu15fKl8ybob123ZFD7NNPe69y2DX/Ja8/lkzGDepvQK32mrLJ41nhp9kJh+X3uZHsVosP169fNbXS0XwAAxCZCKwAIQd/1r+hXTz75Zqy06NBDvhm5UNat/F02rF5mr4geK5fMlt3bN8j3Y38zz/PJt+OkwBMlzaipsGzbuEp6dmokr7/1oYyeu0Xe/fRH+ejLUTJt+UHJmbew9P3wDcIRN8X0QLjCpGFfS9ac+eSLH2fZ9muBnDx+RH6bPcleET10VNWy+VPl8x9/kZYde0rnHgOkdqM2MuKHnvaKB508dli6taklZZ6tIT8v3Sfdvx4jnXsOlIm/7ZFK1V+Wr7u/GWOjwgAAgOcitAKAEOo2bievv/WBLYlkyJJd4saLJ2dPHbc1oW3ftEru3LljS6Ft2xD2yKeceYvIB58Pl7QZstgaMZ3Nc6dP2NKDtEOaPmM2ea31e7YmmE98X+nY/XspXLyMXDh32tTpKAYdudD3w1byUds6MnZQH7l65d40Nw3NVgfMl2ULpplphl1bVJdfJ/9k7tOARa+/f9TXnu0bZfyPX9gSIoLQCq5Q+YUG0u6Dr0ybpRInSSYpU6eV82dOmvL9wmqjAgOvy+5t62zpQclTpDJBVZGgNschc7bcQe1k2O3X9LEDzJRofX33a9vtS3mm4vNy8t/DtkbMFMdve7STD9+sLUO//lDOnDpm7xHZsu5PM4pM30z44oOW0rnpcybwd4yInTXxR1nzx0Jz7nDy2CEZPfBTuXr5oq0BAACegNAKgFMtW7aUt956y5a8R0W/upK/yFPmfPe29dLnvWaSKnV6KV3pBVN3v20bVskbtYs/EFx99XFrGTck7FFT2XLll+p1mphzDZo0MFr4yzh58ZXWps6ZzWv/kPLP1ZY4cR9suouWLC8ffzU6qIOazpQ/aFNLvv9fB8mZr7C8UK+ZrFmxKOh1lrgbXP25ZLZ836ujCacqBX3Olau/LP17dzIhlgYru4I+93GDPzPXOkwe8U3Q18R71keJ6+TrHFmMgHOtxo0bS8eOHW3Je5Qo/aw51OH9u2XAZ11MkFS1ZiNTd7/h3/eQfkHtQEi3AgOlZa3ismvrelvzoDTpM0udxm3NuY6O+n3OJJk0/Bup3Sjs9mvL+j/Na0uWPJWtuSdjlhzy6YCpkiNvIVPW193znUaSKk16qRXUJh4K+lya1XhCjh3eb+7X0GroNx+bdrZ40GPq8+rz6/qA6tiR/UGfVwdz7jB36khZMvdnSZw0ua15vDkCcoJyAICnI7QC4FTnzp3NIq7eSt+pf6t+aTMFpmyVmpIkWQp7T2gNW3Q2QVfLWk/eDa50dMDeXZul70+/mvLD3Lp1U16ukFW+/197SZ8xq+Qt+KS9JzQdQaDr0mTMktPWhE0XR/575W9m+s2rrd6Vys/Xl35jfzOjHH4e8a29SuTi+TNmeuKzNRqaDuhTZavK0nlTzX0167eQVcvnm0WdlXZMV/w2S2rUb27K3iCsEXSRwUgr16pfv758+eWXtuR91v+1RJrVKCIzxg2UJ54qJ6nTZ7T3hKY//1vWrbgbXOn3fPMXi5qgW6f7hUebuk+bcP+/oI8tVqqSrX3QxXNnJEPm7LYUNg3xZ44fJG26fiZvdOolFarVkc8Gz5CceQrJ8H7+9ioxm098MfRXqfFyc3mu1mtS/aXXTSilXmzYSo4dOSDbN602ZTVv+mip/Ur4PqfHgaPNITAHAHg6QisAcEJDnAUbL4j/t+NlwcxxMrp/L3vPg1p1/lTKVK5pgqtv/NuaaTVDp6+x9z6cj098+X3bdRky9S9JlymbfNS2rgTeCF5AN6R48XzMNMDAG8GLgz+MrpWlj1umUg1bEzyF8JlKz4ea8pen4JOSIlVaWxJJmz6T3LCPX65KLTMiYtGs8aYcsHCGmWoU8jERfoRWcCUNoBdvvSp9h/4qB/fukK+7hz1qdsSvG0xwNbjve9L0+ULywsvNpWm7j+29jzZ+0U4Zt2C7lKpQXfw7NDCLwTvjmyCh3LCLgz+MbkqhPy8aVoVU/rmXgtqvtbYkkipNBrOWn4NOtdadCZWOZC1crLQsnDnWlHWTCp1eWL1u8OhWAADgOQitACAMCRImlqovNjLv5C9dEDwCKSy6Tkt834Rmel14A6uQChZ9Wjp8/J0ZPbA5qAPpTNYceeXw/j22FJqO2NI1Y04dP2JGPOiugvdPI0yaLIWcP3vKnGunUEOoUOLEMR9rToM+Vkdb6JRFpeGVlp1NTXxc1axZUypXriwZMzofpRIRjHaAq2lwXbpyDXmlZRdZ8fss00aERYOr2VOGS8o06SMUWDnoenxdew2Sm4E3ZOXSubY2NL3myIHdtvSgOUHPf3DvzrsjHHV31JB0tOv5M8Htl0qUJIk9C6aB8J3/7o2OrFG/pSyZN8V83tp+la9aO1RI/7jTtqtYsWLyxBNP2BoAADwToRUAWDoF792Wzz+wU2DCRIklQYJEtuTcj199IE+VeVbe7TVEOjWtamvDNm1Mfxn4eVdbCpYgYfBz+PomNLf303W1Vi+f73Qk1p+//2oe79bNm5Ixa04zlfDcmdCLIu/fvU0yZM5hS49Ws8EbZl0vnWq0YdVS0wn0JtWrV5fFixfbUtQw0gqu8Hm3FndHRzrE900Q1KYkkLhxwv6Tr+NrleSTb8ZJ7vxPyLghn9vasAUsnC49Oja0pWD6PPF84ofZVupC6zrSU3cRvN/enZvNtOrTJ46a9ksd2LPd3Drs370lXNMLHZ6r1ciEaNo2Lp0/Naj9amHv8Q5FixaVtWvXSsqUKW0NAACeidAKgFOnT582hzfRKXg6hUUXJ7904ayp0123lsydYtZ9CsvIH3rKnTu35e0Pv5EqNRtK3dfaPTK40lFTsyYNNYGQw/Qx/SV9pmxSuNgztia0hi06mYXUdbeskFNwVi2bZ6Yl6ho0mbLlkuLPVDKPM+jz9+6OrtBrdJ2r6nVeN+XwyJ67gNkd7LP3m0uhoNekZUQOoZVrXb16VY4cOWJL3iN5ytQmdNKd8pQG3HOnjpCKfvXu7ih4Pw2sXm3zvhmJ9O6nQ+TfQ3sfGVzp7qe6xt38GWNsjZjNJLQNLV3Z+aYVuvFEqrQZgtqTZrJv91ZbK7Jr6zrx79hASpSpIiXLPSdZsucx7c6IH3rc3Thiz/YN5rkcm1eEh442ffaFhjKgTxczPTqszTQAAIB7I7QC4FTdunXN4W26/m+QnD75r7xcPqu88/qz0vKlEmZay2ut37NXhKYjpi6eP2sCKwcNrl5q1Eb6vNfU1jyozLM1pVHLLmZkly6Y3Kbe07Jw1nj56MtRpoPljO7Y9fWI+UGdvL/l1ap5zcc1qJhdPmpbx+zK1bH79+Y6ndaoO3Hp+i91y2aSlrWKmWsaNH/ngXViHuWFl1vI2dPHpUbQLSKP0Mq12rVrJ6VKlbIl79Gmax+z4562D283Km923Ltx/aq0+8D5ovSfvP2yNHyjiwmsHD74YoTZeVCn64UlR56C0rnnQPnG/y1pVCWPdHitkgz5spu813uIpEmXyV4Vmr4h8M3IBWZTh1ZB7aq2XbqGVtsGZczH/K/fJHtl0Ov6drzcvn07qB3OIq3rlpQ3X37GjNRq9Ebo0amPohtH6FpWz9dpYgI1AADgeeIEBgay0AaAB+haGNrR3rx5s62JPF9fXyn+TGWzU5Un0NEJjl2ndF0Y3X0rpui0GJ3Kp3RR4ZSp05nzh9F/F319OvVFJU2WUvIWKmbOQ9LrdIv4k8cPm8cNuWixdkpv3gw004EcnNVph3fH5rVS6MlSJgzzBBvXBEiXZtXE39/fHO5g3Lhx0qpVKxk/fry88sorthYxRXcPnD9/vhlxFVV+fn5y4VrwTnueQNel27Luz7vrO2n7pe1YTDhyYI8J+VWmrDnDPf14z/aNcuXyBXOu0wp1ZJUzukaftmGJkiQzbZwj9NWRZGdOHjcjQB102uGZk8dC1SltD7RNS54yja1xf1UKxner9gvRT9uVgIAACeqH2RoAQFgYaQUA99ERARqy6RGTgZXSHfwczxWewEppx007eY6PcxZYKb0uc/bc5pqQgZXS3bVChlPKWZ0GVfrxnhJYuStGWsFVdLOEJ0tVvNs+xFRgpXQUquN5IrJeXr7Cxe9+XFiBlUqXMav5XPT6kD876TNlfyCc0inR99cpfQ5PCqwAAEBohFYAnNIOAh1seLPhw4dL3rx5bSlqCK1c79atW/YM8D4LFy6U7Nmzy6FDweubAQDgqQitADilnWxHRxvwRlu3bjUdvuPHj9uayONnyfV8fFjDCN5rz549pu0itAIAeDpCKwAAYhgjrQAAAICII7QCACCGEVoBAAAAEUdoBcCpokWLSsmSJW0J8D5x40bfr0imB7qW7n5avHhxWwK8jyMgJygHAHg6QisATunW/KNGjbIlwPvcuXPHnkUdI61cq0ePHrJy5UpbAryPo80hMAcAeLo4gYGB/DYDEKN8fX3tGeA6/v7+5oiszp07y+DBg81CxhkzZrS1kTNs2DBp3769TJkyRerWrWtr4Qn8/PwkICDAlgDXiGr7NXDgQOnatassWbJEKlSoYGvhLhztSlA/zNYAAMJCaAUgxrVu3VoOHjxoS4gIfZec0TmRo6HTiy++aEsRp6N1+vbtK6dPn5bkyZPb2sj56aefpEOHDoRWHqh3796yfPlyW0JE0H5FXqVKlaIUWo0ZM0batGkj69atM9P94V4IrQAg/AitAMBNXblyRb799lsTniB27N+/X3LlymVLkTd06FDp2LGjTJ06VerUqWNrgceXBladOnWS/v372xq42o4dO6RQoUK2BHdCaAUA4ceaVgDgpiZNmmTCjuhcWwkREx2BVUiMOoG30NFpI0aMkPPnz9sauBqBFQDgcUBoBcCpVq1amWl9iD3jxo2TU6dOyeLFi20NPBWLIbvWF198IVWrVrUlxIaxY8fKzZs3ZcKECbYGAAAg4gitADj1999/y5o1a2wJrnbgwAH566+/zLl2/uDZHKEVI61cQ9uvVatW2RJcTac261RYpWsrAQAARBahFQC4oZEjR9ozkVmzZjHFxsMRWsGbTJ8+Xa5fv27ON27cKNu2bTPnAAAAEUVoBcAp7VzTwY4dGnCEHJ2gC7XqrnNwraVLl5ppstGB6YGud+vWLXsGV7t/dOjo0aPtGVxl69at0qRJE97wAAB4PEIrAE5pJ5uOduxYsmSJHDt2THx9fU05QYIETBGMBTrCTdcVO378uK2JPEZauZ6Pj489gyvp1GZdhF3bLaXtmG4qQYjoWsuWLTNvdmh4BQCAJyO0AgA3o6Os4sWLJwUKFDDlEiVKmPXFdu3aZcrwPATA8BYa9KpixYqZ26JFi8rJkydl4cKFpgwAABARhFYA4Gbixo0rtWrVkowZM5pyxYoVzdblR48eNWV4HkIreIvbt29LyZIlpXDhwqZcrlw5yZMnj1y4cMGUAQAAIoLQCoBTyZMnNwdcT9d/0Z238uXLZ8rvvPOObNq0iS38XSw6p/IxPdC1kiVLJilSpLAluNL//vc/s/Ppk08+acr16tWTHTt2SOPGjU0ZrkWbAwDwdIRWAJwaNmwY6ygB0YTQyrW+/vprmTlzpi0BAADAUxFaAXCqYMGCkjt3blsCvE90TukjtHKtdOnSSZkyZWwJ8F5MTQYAeDpCKwAAnIgfP765ZRc6AJ7G0W452jEAADwVoRUAAE506NBBRo0aJWnTprU1kcdIKwCu1LBhQ+nfv7+ULl3a1gAA4JkIrQAAcCJHjhzy+uuv21LUEFoBcKU0adJI27ZtbQkAAM9FaAXAqeXLl5sDQNSxroxrbdu2TWbNmmVLAAAA8FSEVgCc6tKlizkARB0jrVyrV69e0qxZM1sCAACApyK0AuDU7du3Zcu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)\n",
        "\n",
        "residual block의 input shape과 output shape이 같은 경우에는 왼쪽의 residual block을, 다른 경우에는 오른쪽의 $1 \\times 1$ convolution을 통해 input shape을 output shape에 맞추어 줍니다. 이 경우엔, 첫 번째 convoultion layer부터 out_channels를 output shape에 맞추어 주시면 됩니다!\n",
        "\n",
        "이렇게 residual block을 쌓아올린 ResNet-18의 전체 구조는 다음과 같습니다:![resnet architecture.png](data:image/png;base64,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)\n",
        "\n",
        "residual connection을 가지고 있는 각 블록을 하나의 residual block으로 보시면 됩니다! 예를 들어, block_b는 2개의 residual block으로 구성되어 있는 것입니다.\n",
        "block c, d, e의 첫 레이어에 보면 '/2'가 있을 것입니다. 이는 stride=2를 나타내며, 해당 레이어에서만 입력과 출력의 shape 차이가 발생합니다.\n",
        "<br>block들 간의 batch normalization, activation이 해당 그림에서는 생략되어 있습니다. 피피티의 그림과 함께 보시면 이해에 도움이 될 것입니다!\n",
        "\n",
        "저희는 구현의 편리함을 위해, 두 개의 residual block을 하나의 클래스로 합쳐서 구현할 것입니다. 그러면 나중에 block a부터 끝까지 쌓아 올릴 때, block_b = ResidualBlock()처럼, 조금 더 간편하게 구현할 수 있겠죠? 이제 시작해 봅시다!"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "hhjS9exNiChD"
      },
      "source": [
        "### 문제 3. 아래 class의 빈칸을 채워주세요. 위의 그림과 피피티에서의 그림을 모두 참고하시면 됩니다!"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "szrjhcIshz3j"
      },
      "outputs": [],
      "source": [
        "class ResidualBlock(nn.Module):\n",
        "    def __init__(self,  in_channels, out_channels, strides=1, use_1conv=True):\n",
        "        super().__init__()\n",
        "        self.use_1conv = use_1conv\n",
        "\n",
        "        self.block1 = nn.Sequential(\n",
        "          ##################################################\n",
        "          ## TODO: 첫 번째 residual block을 구현해 주세요 ##\n",
        "          ##################################################\n",
        "          nn.Conv2d(in_channels, out_channels, kernel_size=3, stride=strides, padding =1, bias=False),\n",
        "          nn.BatchNorm2d(out_channels),\n",
        "          nn.ReLU()\n",
        "        )\n",
        "        self.block2 = nn.Sequential(\n",
        "          ##################################################\n",
        "          ## TODO: 두 번째 residual block을 구현해 주세요 ##\n",
        "          ##################################################\n",
        "          nn.Conv2d(out_channels, out_channels, kernel_size=3, stride=1, padding=1, bias=False),\n",
        "          nn.BatchNorm2d(out_channels)\n",
        "        )\n",
        "        if self.use_1conv or in_channels != out_channels:\n",
        "          self.conv = nn.Conv2d(in_channels, out_channels, kernel_size=1, stride=strides, bias=False)\n",
        "        else:\n",
        "          self.conv = None\n",
        "\n",
        "    def forward(self, x):\n",
        "      ######################################################################################\n",
        "      ### TODO: model의 forward를 구현해 주세요. residual connection을 여기에 만들어 주세요 ###\n",
        "      ######################################################################################\n",
        "        residual = x\n",
        "        x = self.block1(x)\n",
        "        x = self.block2(x)\n",
        "        if self.conv:\n",
        "            residual = self.conv(residual)\n",
        "        x += residual\n",
        "        return F.relu(x)\n",
        "\n",
        "class ResNet(nn.Module):\n",
        "    def __init__(self, output_class, use_1conv=True):\n",
        "        super().__init__()\n",
        "          #################################\n",
        "          ## TODO block들을 구현해 주세요 ##\n",
        "          #################################\n",
        "\n",
        "        self.block_a = nn.Sequential(\n",
        "            #############################\n",
        "            ########## TODO:#############\n",
        "            #############################\n",
        "            nn.Conv2d(3, 64, kernel_size=7, stride=2, padding=3, bias=False),\n",
        "            nn.BatchNorm2d(64),\n",
        "            nn.ReLU(),\n",
        "            nn.MaxPool2d(kernel_size=3, stride=2, padding=1)\n",
        "\n",
        "        )\n",
        "\n",
        "        self.block_b = ResidualBlock(in_channels=64, out_channels=64, use_1conv=use_1conv)\n",
        "        self.block_c = ResidualBlock(in_channels=64, out_channels=128, strides=2, use_1conv=use_1conv)\n",
        "        self.block_d = ResidualBlock(in_channels=128, out_channels=256, strides=2, use_1conv=use_1conv)\n",
        "        self.block_e = ResidualBlock(in_channels=256, out_channels=512, strides=2, use_1conv=use_1conv)\n",
        "\n",
        "        self.final_layer = nn.Sequential(\n",
        "            #############################\n",
        "            ########## TODO #############\n",
        "            #############################\n",
        "            nn.AdaptiveAvgPool2d((1, 1)),\n",
        "            nn.Flatten(),\n",
        "            nn.Linear(512, output_class)\n",
        "\n",
        "\n",
        "        )\n",
        "\n",
        "    def forward(self, x):\n",
        "      ###############################################\n",
        "      ## TODO: Model의 forward pass를 구현해 주세요##\n",
        "      ###############################################\n",
        "      x = self.block_a(x)\n",
        "      x = self.block_b(x)\n",
        "      x = self.block_c(x)\n",
        "      x = self.block_d(x)\n",
        "      x = self.block_e(x)\n",
        "      x = self.final_layer(x)\n",
        "      return x"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "FbCBtWWVjhgc"
      },
      "source": [
        "## 1.7 모델 학습\n",
        "이제 모델을 학습시켜 봅시다! 먼저 모델 학습 전에, loss와 optimizer, learning rate, learning rate scheduler, 그리고 epoch 수를 지정해 줍시다.\n",
        "\n",
        "learning rate scheduler는 학습률을 학습이 진행됨에 따라 조정하는 역할을 합니다. 학습이 진행될수록, minima에 도달할 확률이 높아지기 때문에, minima를 찾기 위해서 학습률을 작게 조정하는 것은 도움이 되겠죠?\n",
        "\n",
        "loss는 Cross Entropy Loss를 사용해 주시되, optimizer와 epoch 수, 학습률 및 스케쥴러는 자유롭게 바꾸셔도 괜찮습니다.\n",
        "더 많은 정보는 다음 링크를 참조해 주세요:\n",
        "<br>\n",
        "https://pytorch.org/docs/stable/optim.html\n",
        "<br>\n",
        "https://sanghyu.tistory.com/113\n",
        "<br>\n",
        "https://github.com/kuangliu/pytorch-cifar\n"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "UCXIG716mXQE"
      },
      "outputs": [],
      "source": [
        "model = ResNet(output_class=10).to(device)\n",
        "criterion = nn.CrossEntropyLoss()\n",
        "optimizer = optim.SGD(model.parameters(), lr=0.1,\n",
        "                      momentum=0.9, weight_decay=5e-4)\n",
        "scheduler = torch.optim.lr_scheduler.CosineAnnealingLR(optimizer, T_max=200)\n",
        "epoch = 10"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "n-MuMJpooInM"
      },
      "source": [
        "### 문제 4. Training 함수를 구현해 주세요"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "NsyvreUhoQaF"
      },
      "outputs": [],
      "source": [
        "def train_model(train_loader, val_loader, model, criterion, optimizer, scheduler, num_epochs=10):\n",
        "    train_loss_history = []\n",
        "    val_loss_history = []\n",
        "    train_acc_history = []\n",
        "    val_acc_history = []\n",
        "\n",
        "    for epoch in range(num_epochs):\n",
        "        model.train()\n",
        "        running_loss = 0.0\n",
        "        correct = 0\n",
        "        total = 0\n",
        "\n",
        "          # Wrap the training loop with tqdm for a progress bar\n",
        "        for i, data in tqdm(enumerate(train_loader, 0), total=len(train_loader), desc=f\"Epoch {epoch+1}\"):\n",
        "              #########################################\n",
        "              ## TODO: training phase를 구현해 주세요##\n",
        "              #########################################\n",
        "              inputs, labels = data['image'].to(device), data['label'].to(device)\n",
        "              optimizer.zero_grad()\n",
        "              outputs = model(inputs)\n",
        "              loss = criterion(outputs, labels)\n",
        "              loss.backward()\n",
        "              optimizer.step()\n",
        "\n",
        "              running_loss += loss.item()\n",
        "              _, predicted = outputs.max(1)\n",
        "              total += labels.size(0)\n",
        "              correct += predicted.eq(labels).sum().item()\n",
        "\n",
        "\n",
        "\n",
        "        train_loss = running_loss / len(train_loader)\n",
        "        train_acc = 100 * correct / total\n",
        "        train_loss_history.append(train_loss)\n",
        "        train_acc_history.append(train_acc)\n",
        "        print(train_loss_history, train_acc_history)\n",
        "        print(f'Epoch [{epoch+1}/{num_epochs}], Train Loss: {train_loss:.4f}, Train Acc: {train_acc:.2f}%')\n",
        "\n",
        "        # Validation phase\n",
        "        model.eval()\n",
        "        val_loss = 0.0\n",
        "        val_correct = 0\n",
        "        val_total = 0\n",
        "        with torch.no_grad():\n",
        "            for data in val_loader:\n",
        "              ###########################################\n",
        "              ## TODO: validation phase를 구현해 주세요##\n",
        "              ###########################################\n",
        "              inputs, labels = data['image'].to(device), data['label'].to(device)\n",
        "              outputs = model(inputs)\n",
        "              loss = criterion(outputs, labels)\n",
        "              val_loss += loss.item()\n",
        "              _, predicted = outputs.max(1)\n",
        "              val_total += labels.size(0)\n",
        "              val_correct += predicted.eq(labels).sum().item()\n",
        "\n",
        "\n",
        "        val_loss /= len(val_loader)\n",
        "        val_acc = 100 * val_correct / val_total\n",
        "        val_loss_history.append(val_loss)\n",
        "        val_acc_history.append(val_acc)\n",
        "\n",
        "        scheduler.step()\n",
        "        print(f'Epoch [{epoch+1}/{num_epochs}], Val Loss: {val_loss:.4f}, Val Acc: {val_acc:.2f}%')\n",
        "\n",
        "    return train_loss_history, val_loss_history, train_acc_history, val_acc_history\n",
        "\n",
        "def test_model(test_loader, model, criterion, optimizer):\n",
        "    model.eval()\n",
        "    test_correct = 0\n",
        "    test_total = 0\n",
        "    with torch.no_grad():\n",
        "        for data in test_loader:\n",
        "            inputs, labels = data['image'].to(device), data['label'].to(device)\n",
        "            outputs = model(inputs)\n",
        "            _, predicted = torch.max(outputs.data, 1)\n",
        "            test_total += labels.size(0)\n",
        "            test_correct += (predicted == labels).sum().item()\n",
        "\n",
        "    test_acc = 100 * test_correct / test_total\n",
        "    print(f'Test Accurcy: {test_acc:.2f}%')"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "1pGV9EkAq_0v"
      },
      "source": [
        "### 학습을 진행해 봅시다!"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "22eaBbamrCtz",
        "outputId": "d22362fa-b58f-4d74-9953-9cb5a982f745"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stderr",
          "text": [
            "Epoch 1: 100%|██████████| 625/625 [00:30<00:00, 20.21it/s]\n"
          ]
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "[1.7852458980560302] [33.21]\n",
            "Epoch [1/10], Train Loss: 1.7852, Train Acc: 33.21%\n",
            "Epoch [1/10], Val Loss: 1.6155, Val Acc: 39.01%\n"
          ]
        },
        {
          "output_type": "stream",
          "name": "stderr",
          "text": [
            "Epoch 2: 100%|██████████| 625/625 [00:29<00:00, 20.95it/s]\n"
          ]
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "[1.7852458980560302, 1.5029227489471435] [33.21, 45.2725]\n",
            "Epoch [2/10], Train Loss: 1.5029, Train Acc: 45.27%\n",
            "Epoch [2/10], Val Loss: 1.4785, Val Acc: 46.94%\n"
          ]
        },
        {
          "output_type": "stream",
          "name": "stderr",
          "text": [
            "Epoch 3: 100%|██████████| 625/625 [00:30<00:00, 20.17it/s]\n"
          ]
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "[1.7852458980560302, 1.5029227489471435, 1.3273774713516235] [33.21, 45.2725, 52.71]\n",
            "Epoch [3/10], Train Loss: 1.3274, Train Acc: 52.71%\n",
            "Epoch [3/10], Val Loss: 1.4172, Val Acc: 51.06%\n"
          ]
        },
        {
          "output_type": "stream",
          "name": "stderr",
          "text": [
            "Epoch 4: 100%|██████████| 625/625 [00:30<00:00, 20.45it/s]\n"
          ]
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "[1.7852458980560302, 1.5029227489471435, 1.3273774713516235, 1.2122026368141174] [33.21, 45.2725, 52.71, 56.66]\n",
            "Epoch [4/10], Train Loss: 1.2122, Train Acc: 56.66%\n",
            "Epoch [4/10], Val Loss: 1.5120, Val Acc: 48.09%\n"
          ]
        },
        {
          "output_type": "stream",
          "name": "stderr",
          "text": [
            "Epoch 5: 100%|██████████| 625/625 [00:29<00:00, 21.03it/s]\n"
          ]
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "[1.7852458980560302, 1.5029227489471435, 1.3273774713516235, 1.2122026368141174, 1.153603879737854] [33.21, 45.2725, 52.71, 56.66, 59.3375]\n",
            "Epoch [5/10], Train Loss: 1.1536, Train Acc: 59.34%\n",
            "Epoch [5/10], Val Loss: 1.3197, Val Acc: 53.87%\n"
          ]
        },
        {
          "output_type": "stream",
          "name": "stderr",
          "text": [
            "Epoch 6: 100%|██████████| 625/625 [00:29<00:00, 21.06it/s]\n"
          ]
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "[1.7852458980560302, 1.5029227489471435, 1.3273774713516235, 1.2122026368141174, 1.153603879737854, 1.1105513937950133] [33.21, 45.2725, 52.71, 56.66, 59.3375, 61.065]\n",
            "Epoch [6/10], Train Loss: 1.1106, Train Acc: 61.06%\n",
            "Epoch [6/10], Val Loss: 1.1443, Val Acc: 60.32%\n"
          ]
        },
        {
          "output_type": "stream",
          "name": "stderr",
          "text": [
            "Epoch 7: 100%|██████████| 625/625 [00:30<00:00, 20.81it/s]\n"
          ]
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "[1.7852458980560302, 1.5029227489471435, 1.3273774713516235, 1.2122026368141174, 1.153603879737854, 1.1105513937950133, 1.075837258911133] [33.21, 45.2725, 52.71, 56.66, 59.3375, 61.065, 62.65]\n",
            "Epoch [7/10], Train Loss: 1.0758, Train Acc: 62.65%\n",
            "Epoch [7/10], Val Loss: 1.2340, Val Acc: 57.27%\n"
          ]
        },
        {
          "output_type": "stream",
          "name": "stderr",
          "text": [
            "Epoch 8: 100%|██████████| 625/625 [00:30<00:00, 20.81it/s]\n"
          ]
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "[1.7852458980560302, 1.5029227489471435, 1.3273774713516235, 1.2122026368141174, 1.153603879737854, 1.1105513937950133, 1.075837258911133, 1.0469239596366882] [33.21, 45.2725, 52.71, 56.66, 59.3375, 61.065, 62.65, 63.55]\n",
            "Epoch [8/10], Train Loss: 1.0469, Train Acc: 63.55%\n",
            "Epoch [8/10], Val Loss: 1.2080, Val Acc: 58.38%\n"
          ]
        },
        {
          "output_type": "stream",
          "name": "stderr",
          "text": [
            "Epoch 9: 100%|██████████| 625/625 [00:29<00:00, 21.07it/s]\n"
          ]
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "[1.7852458980560302, 1.5029227489471435, 1.3273774713516235, 1.2122026368141174, 1.153603879737854, 1.1105513937950133, 1.075837258911133, 1.0469239596366882, 1.0260854459762574] [33.21, 45.2725, 52.71, 56.66, 59.3375, 61.065, 62.65, 63.55, 64.715]\n",
            "Epoch [9/10], Train Loss: 1.0261, Train Acc: 64.72%\n",
            "Epoch [9/10], Val Loss: 1.0338, Val Acc: 64.44%\n"
          ]
        },
        {
          "output_type": "stream",
          "name": "stderr",
          "text": [
            "Epoch 10: 100%|██████████| 625/625 [00:29<00:00, 21.14it/s]\n"
          ]
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "[1.7852458980560302, 1.5029227489471435, 1.3273774713516235, 1.2122026368141174, 1.153603879737854, 1.1105513937950133, 1.075837258911133, 1.0469239596366882, 1.0260854459762574, 1.0068716457366944] [33.21, 45.2725, 52.71, 56.66, 59.3375, 61.065, 62.65, 63.55, 64.715, 65.1925]\n",
            "Epoch [10/10], Train Loss: 1.0069, Train Acc: 65.19%\n",
            "Epoch [10/10], Val Loss: 1.0565, Val Acc: 62.90%\n",
            "Test Accurcy: 64.09%\n"
          ]
        }
      ],
      "source": [
        "train_loss_history, val_loss_history, train_acc_history, val_acc_history = train_model(train_loader=train_loader, val_loader=val_loader, model=model, criterion=criterion, optimizer=optimizer, scheduler=scheduler, num_epochs=epoch)\n",
        "test_model(test_loader=test_loader, model=model, criterion=criterion, optimizer=optimizer)"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "Odc8W-3MrRvw"
      },
      "source": [
        "### 학습 정확도, loss 그래프도 그려봅시다."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 382
        },
        "id": "JHXpS3Jvq-Lz",
        "outputId": "ece19695-ccc4-4677-8ad1-045ab0ea36dc"
      },
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 1200x400 with 2 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ],
      "source": [
        "def plot_loss_accuracy(train_losses, val_losses, train_accuracies, val_accuracies):\n",
        "    epochs = range(1, len(train_losses) + 1)\n",
        "\n",
        "    plt.figure(figsize=(12, 4))\n",
        "\n",
        "    plt.subplot(1, 2, 1)\n",
        "    plt.plot(epochs, train_losses, label='Training Loss')\n",
        "    plt.plot(epochs, val_losses, label='Validation Loss')\n",
        "    plt.xlabel('Epoch')\n",
        "    plt.ylabel('Loss')\n",
        "    plt.title('Training and Validation Loss')\n",
        "    plt.legend()\n",
        "\n",
        "    plt.subplot(1, 2, 2)\n",
        "    plt.plot(epochs, train_accuracies, label='Training Accuracy')\n",
        "    plt.plot(epochs, val_accuracies, label='Validation Accuracy')\n",
        "    plt.xlabel('Epoch')\n",
        "    plt.ylabel('Accuracy')\n",
        "    plt.title('Training and Validation Accuracy')\n",
        "    plt.legend()\n",
        "\n",
        "    plt.tight_layout()\n",
        "    plt.show()\n",
        "\n",
        "### 실행 ###\n",
        "plot_loss_accuracy(train_loss_history, val_loss_history, train_acc_history, val_acc_history)"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "w8YPMKMHrX2T"
      },
      "source": [
        "#### 문제 5. ResNet의 CIFAR-10에 대한 정확도는 약 91프로입니다. 그렇다면, 우리가 학습시킨 모델은 training data에 대해 underfitting된 것일까요? 아님 overfitting된 것일까요? 만일 underfitting되었다면, 추가적으로 모델을 학습시킬 수 있는 방법은 무엇이 있을까요? 학습률, optimizer, epoch 수, batch size, train-validation set split 비율 등등.. 학습과 연관이 있는 변수들과 관련지어서 설명해 주세요.  "
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "kQgiBe4ZvUpc"
      },
      "source": [
        "답:training accuracy와 validation accuracy가 모두 낮으므로 underfitting된 것이라 볼 수 있다.\n",
        "1. 적절한 학습률로 조정\n",
        "2. 더 많은 epoch 동안 학습\n",
        "3. batch size 더 작게 조정\n",
        "4. 다른 optimizer 사용\n",
        "5. train-validation set split 비율을 조정하여 더 많은 data를 training에 사용"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "BN0IzYItxWm7"
      },
      "source": [
        "# Part 2 네이버 영화리뷰 전처리 및 LSTM 구현\n",
        "\n",
        "이번 부분에서는 LSTM을 활용하여, 네이버 영화리뷰의 sentimental analysis를 진행해볼 것입니다. <br>\n",
        "\n",
        "\n"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "QvKhlKJ0yFM3"
      },
      "source": [
        "###2.1 패키지 설치\n",
        "우선 필요한 패키지들을 pip을 통해 설치해 봅시다."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 2,
      "metadata": {
        "id": "QvCrh7LAHSMi",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "1d001426-22ef-46bc-9253-18cb07afd419"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Requirement already satisfied: sentencepiece in /usr/local/lib/python3.10/dist-packages (0.1.99)\n",
            "Collecting wget\n",
            "  Downloading wget-3.2.zip (10 kB)\n",
            "  Preparing metadata (setup.py) ... \u001b[?25l\u001b[?25hdone\n",
            "Building wheels for collected packages: wget\n",
            "  Building wheel for wget (setup.py) ... \u001b[?25l\u001b[?25hdone\n",
            "  Created wheel for wget: filename=wget-3.2-py3-none-any.whl size=9656 sha256=b7b83d0f70faf60fc0718d8b387061231a2c0033c8a7483f9bc389a177a99e31\n",
            "  Stored in directory: /root/.cache/pip/wheels/8b/f1/7f/5c94f0a7a505ca1c81cd1d9208ae2064675d97582078e6c769\n",
            "Successfully built wget\n",
            "Installing collected packages: wget\n",
            "Successfully installed wget-3.2\n"
          ]
        }
      ],
      "source": [
        "!pip install sentencepiece\n",
        "!pip install wget"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "5Cu1rr1SyNHq"
      },
      "source": [
        "### 2.2 import 및 device 설정"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "ukTPpR96BGyZ"
      },
      "source": [
        "필요한 라이브러리를 import하고, device를 GPU로 바꿔줍니다.\n",
        "\n",
        "다만, 코드를 구현하는 과정에서는 **CPU 사용**을 권장드립니다.\n",
        "\n",
        "GPU가 가장 많이 필요한 단계는 학습하는 과정인데 구현하는 시간동안 colab의 GPU를 다 써버리면 막상 학습할 때 필요한 GPU 자원을 쓸 수 없게 됩니다. 따라서 코드를 모두 구현하고 train 코드가 잘 돌아가는지 확인한 뒤에 colab 상단 런타임 메뉴에서 런타임 유형을 GPU로 바꾼 뒤에 실행하면 됩니다."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 3,
      "metadata": {
        "id": "dquM-bfUIW-J",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "a53164c5-b21e-4f51-fd3d-afc105cf70d5"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "using device:  cuda\n"
          ]
        }
      ],
      "source": [
        "import os\n",
        "import numpy as np\n",
        "import math\n",
        "import matplotlib.pyplot as plt\n",
        "import json\n",
        "import pandas as pd\n",
        "from IPython.display import display\n",
        "from tqdm import tqdm, tqdm_notebook, trange\n",
        "import sentencepiece as spm\n",
        "import wget\n",
        "\n",
        "import torch\n",
        "import torch.nn as nn\n",
        "import torch.nn.functional as F\n",
        "\n",
        "device = torch.device('cuda' if torch.cuda.is_available() else 'cpu')\n",
        "print('using device: ', device)"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "GSzC3DptVk07"
      },
      "source": [
        "### 2-3. Dataset\n",
        "이번 과제에서 사용할 데이터셋입니다. 아래 링크에서 다운 받은 뒤 위에서 설정한 data를 저장할 폴더에 저장해주세요!\n",
        "\n",
        "colab에서 그 데이터를 직접 확인하는 코드는 작성해두지 않았습니다. 다만, 아래 사진을 첨부해드렸습니다. 데이터는 id, document, label로 구성되어 있고 id는 식별자, document는 리뷰 데이터, label은 긍정(1), 부정(0)을 의미합니다. 좀 더 자세하게 데이터가 어떻게 생겼는지 알고 싶으신 분들은 txt 파일을 열어보시면 확인할 수 있습니다.\n",
        "\n",
        "보통 csv나 xslx 형태의 텍스트 데이터들은 데이터프레임으로 가공 후 학습하거나 추론에 활용합니다. 데이터프레임으로 데이터를 불러왔다면\n",
        "ex) dataframe['id'], dataframe['document'] 와 같이 원하는 column의 데이터만을 확인할 수도 있습니다.\n",
        "\n",
        "![image.png](data:image/png;base64,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)\n",
        "\n",
        "\n",
        "https://drive.google.com/drive/folders/15XGr-L-W6DSoR5TbniPMJASPsA0IDTiN\n"
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "from google.colab import drive\n",
        "drive.mount('/content/drive', force_remount=True)\n",
        "# data를 저장할 폴더 입니다. 환경에 맞게 수정 하세요.\n",
        "\n",
        "data_dir = \"/content/drive/MyDrive/AIKU_D2D/2/data/transformer-evolution\"\n",
        "# os.makedirs(data_dir, exist_ok=True)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "NOZzPj5wAi6Z",
        "outputId": "e62c49ec-59e8-408c-bdc0-bf30edd29e46"
      },
      "execution_count": 4,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Mounted at /content/drive\n"
          ]
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "fj8iGv_HIbQp"
      },
      "source": [
        "### 2-4. 폴더의 목록을 확인\n",
        "Google Drive mount가 잘 되었는지 확인하기 위해 data_dir 목록을 확인 합니다."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 5,
      "metadata": {
        "id": "8pjohaiGId95",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "6a61e4b8-b12b-4c92-e331-f1c47556e434"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "kowiki.model\n",
            "kowiki_t5.model\n",
            "ratings_test.txt\n",
            "kowiki_t5.vocab\n",
            "kowiki.vocab\n",
            "ratings_train.txt\n",
            "ratings_train.json\n",
            "ratings_train_t5.json\n",
            "save_gpt_pretrain.pth\n",
            "ratings_test_t5.json\n",
            "ratings_test.json\n",
            "save_bert_pretrain.pth\n"
          ]
        }
      ],
      "source": [
        "for f in os.listdir(data_dir):\n",
        "  print(f)"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "rOhCFxLPIdWx"
      },
      "source": [
        "### 2-5. Vocab 및 입력\n",
        "미리 만들어 놓은 vocab을 로딩하고, 로딩된 vocab을 이용해 input을 만듭니다."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 6,
      "metadata": {
        "id": "u69gqsv_IkrL",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "afab83b1-7a67-4d6c-bfbf-ca53f7a4df90"
      },
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "True"
            ]
          },
          "metadata": {},
          "execution_count": 6
        }
      ],
      "source": [
        "# vocab loading\n",
        "vocab_file = f\"{data_dir}/kowiki.model\"\n",
        "vocab = spm.SentencePieceProcessor()\n",
        "vocab.load(vocab_file)"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "H1EqFyOwCJo3"
      },
      "source": [
        "보통 영어를 NLP task를 처리할 때는 단어 기준으로 나누어도 크게 문제가 없지만 한국어는 한 단어가 보다 복잡하게 이루어져 있습니다. vocab을 사용해서 하나의 리뷰 문장을 나누어준 예시입니다.\n",
        "\n",
        "아래는 한국어 NLP를 어떤식으로 처리하는지에 대해 간단하게 보여주기 위해 추가한 코드입니다."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 7,
      "metadata": {
        "id": "E6di_Ko_yujV",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "bf038d37-3e4d-4546-dc99-aa073b71868b"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "뭐야 이 평점들은.... 나쁘진 않지만 10점 짜리는 더더욱 아니잖아\n",
            "['▁', '뭐', '야', '▁이', '▁평', '점', '들은', '..', '..', '▁나', '쁘', '진', '▁않', '지만', '▁10', '점', '▁', '짜', '리는', '▁더', '더', '욱', '▁아니', '잖', '아']\n",
            "[3587, 5593, 3766, 8, 229, 3807, 162, 1920, 1920, 57, 5043, 3704, 101, 98, 129, 3807, 3587, 4351, 367, 228, 3840, 4267, 410, 5941, 3621]\n"
          ]
        }
      ],
      "source": [
        "line = '뭐야 이 평점들은.... 나쁘진 않지만 10점 짜리는 더더욱 아니잖아'\n",
        "pieces = vocab.encode_as_pieces(line)\n",
        "ids = vocab.encode_as_ids(line)\n",
        "print(line)\n",
        "print(pieces)\n",
        "print(ids)"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "12ZA0bI6Ip4s"
      },
      "source": [
        "## 2-6. 영화 분류 데이터셋\n",
        "이제 본격적으로 구현을 시작하기 전에 다운했던 데이터셋을 학습 과정에서 사용할 수 있도록 로드할 차례입니다.\n",
        "\n",
        "먼저 아래 'MovieDataSet' 클래스를 봅시다. 여러분이 따로 구현해야할 코드는 없지만 일반적으로 딥러닝에서 DataSet 클래스를 선언할 때 다음과 같이 \\_\\_len__과\n",
        " \\_\\_getitem__ 을 같이 선언해주게 됩니다. 이 형태에 대해서 한 번 확인해주고 넘어가면 좋을 것 같아요!"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 8,
      "metadata": {
        "id": "5hRUATPWRo1L"
      },
      "outputs": [],
      "source": [
        "\"\"\" 영화 분류 데이터셋 \"\"\"\n",
        "class MovieDataSet(torch.utils.data.Dataset):\n",
        "    def __init__(self, vocab, infile):\n",
        "        self.vocab = vocab\n",
        "        self.labels = []\n",
        "        self.sentences = []\n",
        "\n",
        "        line_cnt = 0\n",
        "        with open(infile, \"r\") as f:\n",
        "            for line in f:\n",
        "                line_cnt += 1\n",
        "\n",
        "        with open(infile, \"r\") as f:\n",
        "            for i, line in enumerate(tqdm(f, total=line_cnt, desc=f\"Loading {infile}\", unit=\" lines\")):\n",
        "                data = json.loads(line)\n",
        "                self.labels.append(data[\"label\"])\n",
        "                self.sentences.append([vocab.piece_to_id(p) for p in data[\"doc\"]])\n",
        "\n",
        "    def __len__(self):\n",
        "        assert len(self.labels) == len(self.sentences)\n",
        "        return len(self.labels)\n",
        "\n",
        "    def __getitem__(self, item):\n",
        "        return (torch.tensor(self.labels[item]),\n",
        "                torch.tensor(self.sentences[item]))"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "AyqG87jppKKr"
      },
      "source": [
        "아래 'collate_fn' 함수는 하나의 batch 안에서 문장의 길이가 다 다른 경우에 batch 안에서 가장 긴 길이에 맞춰서 나머지 input을 padding 해주는 역할을 합니다."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 9,
      "metadata": {
        "id": "DjDhfnnWR2hi"
      },
      "outputs": [],
      "source": [
        "def movie_collate_fn(inputs):\n",
        "    labels, enc_inputs = list(zip(*inputs))\n",
        "\n",
        "    enc_inputs = torch.nn.utils.rnn.pad_sequence(enc_inputs, batch_first=True, padding_value=0)\n",
        "\n",
        "    batch = [\n",
        "        torch.stack(labels, dim=0),\n",
        "        enc_inputs,\n",
        "    ]\n",
        "    return batch"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "LFoZh93iXngJ"
      },
      "source": [
        "이제 DataLoader를 통해 데이터를 불러올 차례입니다."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 10,
      "metadata": {
        "id": "qIJqTZswR_Q5",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "75c5a209-edd6-4ba7-872f-815fca40b85b"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stderr",
          "text": [
            "Loading /content/drive/MyDrive/AIKU_D2D/2/data/transformer-evolution/ratings_train.json: 100%|██████████| 149995/149995 [00:07<00:00, 20579.88 lines/s]\n",
            "Loading /content/drive/MyDrive/AIKU_D2D/2/data/transformer-evolution/ratings_test.json: 100%|██████████| 49997/49997 [00:01<00:00, 39893.67 lines/s]\n"
          ]
        }
      ],
      "source": [
        "\"\"\" 데이터 로더 \"\"\"\n",
        "batch_size = 128\n",
        "train_dataset = MovieDataSet(vocab, f\"{data_dir}/ratings_train.json\")\n",
        "train_loader = torch.utils.data.DataLoader(train_dataset, batch_size=batch_size, shuffle=True, collate_fn=movie_collate_fn)\n",
        "test_dataset = MovieDataSet(vocab, f\"{data_dir}/ratings_test.json\")\n",
        "test_loader = torch.utils.data.DataLoader(test_dataset, batch_size=batch_size, shuffle=False, collate_fn=movie_collate_fn)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 11,
      "metadata": {
        "id": "DxiN1rcqb9O8",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "4997094e-ce4e-49de-e951-828402c654b3"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "149995\n",
            "(tensor(0), tensor([  26,  228, 4365, 1920,  132, 4351, 3587, 4351, 3922, 3628, 3857, 3760,\n",
            "         266, 3678, 3614]))\n"
          ]
        }
      ],
      "source": [
        "# Dataset class에서 __len__을 구현하면 dataset의 크기를 확인할 수 있습니다.\n",
        "print(len(train_dataset))\n",
        "# Dataset class에서 __getitem__을 구현하면 dataset을 index를 통해 접근할 수 있습니다.\n",
        "print(train_dataset[0])"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "a3qXgmbTgMUw"
      },
      "source": [
        "## LSTM\n",
        "LSTM(Long Short-Term Memory)은 RNN의 한 종류로, RNN의 장기 의존성 문제를 해결하기 위해 고안되었습니다. LSTM은 셀 상태(cell state)라는 개념을 도입해 정보를 장기적으로 기억하고 전달하는 능력을 갖추고 있습니다.\n"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "aHJr99DDgWgE"
      },
      "source": [
        "### 2-7. LSTM Cell\n",
        "LSTM의 핵심은 LSTM 셀입니다. LSTM 셀은 입력 게이트(input gate), 망각 게이트(forget gate), 출력 게이트(output gate)라는 세 가지 게이트와 셀 상태를 이용해 정보를 저장, 삭제, 출력하는 역할을 합니다. 각 게이트는 시그모이드 함수를 통과해 0에서 1 사이의 값을 갖게 되며, 이는 얼마나 많은 정보를 통과시킬지를 결정하는 '비율'을 의미합니다.\n",
        "\n",
        "이 LSTMCell 클래스에서는 LSTM 셀의 동작을 구현하고 있습니다. 이 클래스는 PyTorch의 nn.Module 클래스를 상속받아 구현되었으며, LSTM 셀의 입력과 히든 상태를 받아 다음 시점의 히든 상태와 셀 상태를 반환하는 forward 메서드를 정의하고 있습니다.\n",
        "\n",
        "![](https://miro.medium.com/v2/resize:fit:1400/1*ahafyNt0Ph_J6Ed9_2hvdg.png)"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "nSgOk1KoyokC"
      },
      "source": [
        "### 문제 6. LSTMCell을 구현해 주세요"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 12,
      "metadata": {
        "id": "4_ZbE0BbiQZZ"
      },
      "outputs": [],
      "source": [
        "class LSTMCell(nn.Module):\n",
        "    def __init__(self, input_size, hidden_size, bias=True):\n",
        "        super(LSTMCell, self).__init__()\n",
        "        self.input_size = input_size\n",
        "        self.hidden_size = hidden_size\n",
        "        self.bias = bias\n",
        "\n",
        "        self.xh = nn.Linear(input_size, hidden_size * 4, bias=bias)\n",
        "        self.hh = nn.Linear(hidden_size, hidden_size * 4, bias=bias)\n",
        "        self.reset_parameters()\n",
        "\n",
        "    def reset_parameters(self):\n",
        "        std = 1.0 / np.sqrt(self.hidden_size)\n",
        "        for w in self.parameters():\n",
        "            w.data.uniform_(-std, std)\n",
        "\n",
        "    def forward(self, input, hx=None):\n",
        "        ################################################################################\n",
        "        # TODO:                                                                        #\n",
        "        # complete code for LSTMCell                                                   #\n",
        "        ################################################################################\n",
        "        # Inputs:\n",
        "        #       input: of shape (batch_size, input_size)\n",
        "        #       hx: of shape (batch_size, hidden_size)\n",
        "        # Outputs:\n",
        "        #       hy: of shape (batch_size, hidden_size)\n",
        "        #       cy: of shape (batch_size, hidden_size)\n",
        "\n",
        "\n",
        "        if hx is None:\n",
        "\n",
        "            # hx = torch.zeros_like(input)\n",
        "            # hx = (hx, hx)\n",
        "            hx = torch.zeros(1, self.hidden_size).float().cuda()\n",
        "            cx = torch.zeros(1, self.hidden_size).float().cuda()\n",
        "\n",
        "        hx, cx = hx\n",
        "\n",
        "        gates = self.xh(input) + self.hh(hx)\n",
        "\n",
        "        # TODO: gates를 4개로 나눠서 i_t, f_t, g_t, o_t를 얻는 과정을 작성해주세요.\n",
        "\n",
        "        input_gate, forget_gate, cell_gate, output_gate = gates.chunk(4, 1)\n",
        "\n",
        "        i_t = torch.sigmoid(input_gate)\n",
        "        f_t = torch.sigmoid(forget_gate)\n",
        "        g_t = torch.tanh(cell_gate)\n",
        "        o_t = torch.sigmoid(output_gate)\n",
        "\n",
        "        cy = cx * f_t + i_t * g_t\n",
        "\n",
        "        hy = o_t * F.tanh(cy)\n",
        "\n",
        "\n",
        "        ################################################################################\n",
        "        #                                 END OF YOUR CODE                             #\n",
        "        ################################################################################\n",
        "        return (hy, cy)"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "pFijoYUOgZ8l"
      },
      "source": [
        "### 2-8. LSTM 구현\n",
        "전체 LSTM 네트워크는 이 LSTM 셀을 이용해 구현됩니다. LSTM 네트워크는 시퀀스의 각 요소를 LSTM 셀에 입력하고, 셀의 출력을 다음 시점의 셀에 전달하는 방식으로 동작합니다. 이렇게 각 시점에서의 LSTM 셀의 출력을 모아 최종 출력을 만들게 됩니다.\n",
        "![](https://miro.medium.com/v2/resize:fit:1400/0*IHPgKDctINevwboV.png)"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "URYrO1Nayu2D"
      },
      "source": [
        "### 문제 7. LSTM class를 완성해 주세요"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 13,
      "metadata": {
        "id": "3NSqjnwNkARg"
      },
      "outputs": [],
      "source": [
        "class LSTM(nn.Module):\n",
        "    def __init__(self, input_size, hidden_size, vocab_size):\n",
        "        super(LSTM, self).__init__()\n",
        "        self.hidden_size = hidden_size\n",
        "        self.lstm_cell = LSTMCell(input_size, hidden_size)\n",
        "        self.embedding = nn.Embedding(vocab_size, input_size)\n",
        "        self.fc = nn.Linear(hidden_size, vocab_size)\n",
        "\n",
        "    def forward(self, x, hx=None):\n",
        "        batch_size = x.size(0)\n",
        "        seq_len = x.size(1)\n",
        "        if hx is None:\n",
        "        #     hx = (torch.zeros_like(x[:, 0]), torch.zeros_like(x[:, 0]))\n",
        "\n",
        "        # h, c = hx\n",
        "          h = torch.zeros(1, self.hidden_size).float().cuda()\n",
        "          c = torch.zeros(1, self.hidden_size).float().cuda()\n",
        "        else:\n",
        "          h, c = hx\n",
        "\n",
        "        output = []\n",
        "\n",
        "        ################################################################################\n",
        "        # TODO:                                                                        #\n",
        "        # Complete Code for LSTM                                                       #\n",
        "        ################################################################################\n",
        "        for i in range(seq_len):\n",
        "            # TODO: 입력 x를 embedding 하세요.\n",
        "            # TODO: lstm_cell에 embed와 (h, c)를 입력으로 넣어서 h와 c를 update하세요.\n",
        "            # TODO: update된 h를 output에 추가하세요.\n",
        "            embed = self.embedding(x[:, i])\n",
        "            h, c = self.lstm_cell(embed, (h, c))\n",
        "            output.append(h)\n",
        "\n",
        "        # TODO: output을 적절한 형태로 변환하세요.\n",
        "        # 여기서는 각 시간 스텝에 대한 hidden state를 담고 있는 output 리스트를\n",
        "        # 하나의 tensor로 결합합니다. 이 tensor의 shape는 (batch_size, seq_len, hidden_size)가 됩니다.\n",
        "        # 이를 위해 torch.stack 함수를 사용하며, dim=1로 설정하여 시간 스텝에 대해 stack하게 됩니다.\n",
        "        output = torch.stack(output, dim=1)\n",
        "\n",
        "\n",
        "        ################################################################################\n",
        "        #                                 END OF YOUR CODE                             #\n",
        "        ################################################################################\n",
        "\n",
        "        output = self.fc(output)\n",
        "        return output, (h, c)"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "LESDdt0IgdeQ"
      },
      "source": [
        "### 2-9. Naver 영화 리뷰 감성분석 모델 (w/ LSTM)\n",
        "\n",
        "이제는 구현한 LSTM을 바탕으로 Naver 리뷰의 감성을 분석해볼 차례입니다.  해당 리뷰가 긍정(1)인지 부정(0)인지를 분류하는 Classification 모델입니다."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 14,
      "metadata": {
        "id": "Cr3j6wUBkA9G"
      },
      "outputs": [],
      "source": [
        "class MovieClassification(nn.Module):\n",
        "    def __init__(self, input_size, hidden_size, vocab_size, dropout):\n",
        "        super(MovieClassification, self).__init__()\n",
        "        self.hidden_size = hidden_size\n",
        "        self.lstm_cell = LSTMCell(input_size, hidden_size)\n",
        "        self.embedding = nn.Embedding(vocab_size, input_size)\n",
        "        self.fc = nn.Linear(hidden_size, vocab_size)\n",
        "        self.classifier = nn.Sequential(\n",
        "            nn.Dropout(dropout),\n",
        "            nn.Linear(hidden_size, hidden_size),\n",
        "            nn.ReLU(),\n",
        "            nn.Dropout(dropout),\n",
        "            nn.Linear(hidden_size, 1)\n",
        "        )\n",
        "\n",
        "    def forward(self, x, hx=None):\n",
        "        batch_size = x.size(0)\n",
        "        seq_len = x.size(1)\n",
        "        # if hx is None:\n",
        "        #     hx = (torch.zeros_like(x[:, 0]), torch.zeros_like(x[:, 0]))\n",
        "\n",
        "        # h, c = hx\n",
        "        h = torch.zeros(1, self.hidden_size).float().cuda()\n",
        "        c = torch.zeros(1, self.hidden_size).float().cuda()\n",
        "        for i in range(seq_len):\n",
        "            embed = self.embedding(x[:, i])\n",
        "            h, c = self.lstm_cell(embed, (h, c))\n",
        "\n",
        "        logits = self.classifier(h).flatten()\n",
        "        return logits\n"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "z9S3uwR3gpjq"
      },
      "source": [
        "### 2-10. 네이버 영화 리뷰 감성분석 모델 데이터 학습(w/ LSTM)\n",
        "\n",
        "아래는 train 및 test 코드입니다. test 부분의 빈칸은 train 부분과 같은 부분이므로 train 코드를 구현해주신 뒤에 참고하셔서 적어주시면 되겠습니다."
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "Hqil6ut8KVfL"
      },
      "source": [
        "### 문제 8. train_epoch 함수를 완성해 주세요"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 15,
      "metadata": {
        "id": "N4mM2DM3CxqB"
      },
      "outputs": [],
      "source": [
        "def train_epoch(epoch, model, criterion, optimizer, train_loader, clip):\n",
        "    losses = []\n",
        "    model.train()\n",
        "    with tqdm_notebook(total=len(train_loader), desc=f\"Train {epoch}\") as pbar:\n",
        "        for i, batch in enumerate(train_loader):\n",
        "            labels, sentences = map(lambda x: x.to(device), batch)\n",
        "\n",
        "            labels = labels.float()\n",
        "\n",
        "            ################################################################################\n",
        "            # TODO:                                                                        #\n",
        "            # Complete Train Code                                                          #\n",
        "            ################################################################################\n",
        "\n",
        "            # TODO: 옵티마이저의 그래디언트를 초기화해 주세요.\n",
        "            optimizer.zero_grad()\n",
        "            # TODO: 모델에 입력 데이터를 전달하여 출력을 얻습니다.\n",
        "            output = model(sentences)\n",
        "            # TODO: 손실 함수를 사용하여 loss을 계산합니다.\n",
        "            loss = criterion(output, labels)\n",
        "\n",
        "            loss_val = loss.item()\n",
        "            losses.append(loss_val)\n",
        "\n",
        "            # TODO: 역전파를 수행하여 그래디언트를 계산합니다.\n",
        "            loss.backward()\n",
        "\n",
        "            torch.nn.utils.clip_grad_norm_(model.parameters(), clip)\n",
        "            # Gradient clipping을 해주는 코드입니다.\n",
        "\n",
        "            # TODO: 옵티마이저를 사용하여 모델 파라미터를 업데이트합니다.\n",
        "            optimizer.step()\n",
        "            ################################################################################\n",
        "            #                                 END OF YOUR CODE                             #\n",
        "            ################################################################################\n",
        "\n",
        "\n",
        "            pbar.update(1)\n",
        "            pbar.set_postfix_str(f\"Loss: {loss_val:.3f} ({np.mean(losses):.3f})\")\n",
        "    return np.mean(losses)\n"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "uYXVc9wtKa2i"
      },
      "source": [
        "### 문제 9. validation 함수 (eval_epoch)를 완성해 주세요."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 19,
      "metadata": {
        "id": "6vuAoKimD3ll"
      },
      "outputs": [],
      "source": [
        "def get_binary_metrics(y_pred, y):\n",
        "    # find number of TP, TN, FP, FN\n",
        "    # 평가 metric으로 가장 흔하게 사용되는 F1 Score입니다. 자세한 내용은 https://en.wikipedia.org/wiki/F-score 을 참고해주세요.\n",
        "    TP=sum(((y_pred == 1)&(y==1)).type(torch.int32))\n",
        "    FP=sum(((y_pred == 1)&(y==0)).type(torch.int32))\n",
        "    TN=sum(((y_pred == 0)&(y==0)).type(torch.int32))\n",
        "    FN=sum(((y_pred == 0)&(y==1)).type(torch.int32))\n",
        "    accy = (TP+TN)/(TP+FP+TN+FN)\n",
        "\n",
        "    recall = TP/(TP+FN) if TP+FN!=0 else 0\n",
        "    prec = TP/(TP+FP) if TP+FP!=0 else 0\n",
        "    f1 = 2*recall*prec/(recall+prec) if recall+prec !=0 else 0\n",
        "\n",
        "    return accy, recall, prec, f1\n",
        "\n",
        "def eval_epoch(model, data_loader, criterion):\n",
        "    model.eval()\n",
        "    epoch_loss = 0\n",
        "    epoch_accy = 0\n",
        "    epoch_recall = 0\n",
        "    epoch_prec = 0\n",
        "    epoch_f1 = 0\n",
        "    with tqdm_notebook(total=len(data_loader), desc=f\"Valid\") as pbar:\n",
        "        for i, batch in enumerate(data_loader):\n",
        "            labels, sentences = map(lambda x: x.to(device), batch)\n",
        "\n",
        "            labels = labels.float()\n",
        "            ################################################################################\n",
        "            # TODO:                                                                        #\n",
        "            # Complete Evaluation Code                                                     #\n",
        "            ################################################################################\n",
        "            # TODO: 모델에 입력 데이터를 전달하여 출력을 얻습니다.\n",
        "            logits = model(sentences)\n",
        "            # TODO: 손실 함수를 사용하여 loss을 계산합니다.\n",
        "            loss = criterion(logits, labels)\n",
        "            ################################################################################\n",
        "            #                                 END OF YOUR CODE                             #\n",
        "            ################################################################################\n",
        "            epoch_loss += loss.item()\n",
        "\n",
        "            preds = (F.sigmoid(logits) >= 0.5).long()\n",
        "            accy, recall, prec, f1 = get_binary_metrics(preds, labels.long())\n",
        "            epoch_accy += accy\n",
        "            epoch_recall += recall\n",
        "            epoch_prec += prec\n",
        "            epoch_f1 += f1\n",
        "\n",
        "            pbar.update(1)\n",
        "\n",
        "    epoch_accy /= len(data_loader)\n",
        "    epoch_recall /= len(data_loader)\n",
        "    epoch_prec /= len(data_loader)\n",
        "    epoch_f1 /= len(data_loader)\n",
        "    print(f'\\tAccuracy: {epoch_accy:.3f}')\n",
        "    print(f'\\tRecall: {epoch_recall:.3f}')\n",
        "    print(f'\\tPrecision: {epoch_prec:.3f}')\n",
        "    print(f'\\tF1 Score: {epoch_f1:.3f}')\n",
        "    return epoch_loss / len(data_loader)\n"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "ImfERC6RKgMC"
      },
      "source": [
        "### 문제 10. Hyperparamter Tuning\n",
        "\n",
        "좋은 모델을 구현하는 것도 중요하지만 모델의 성능은 Hyper Parameter에 따라 크게 달라집니다. 특히, learning rate와 epoch가 가장 크게 영향을 주며 hidden_layer의 차원에 따라서도 성능이 달라질 수 있습니다! 모델을 성공적으로 구현했다면 더 좋은 성능을 가진 모델을 스스로 한 번 찾아보세요!"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 20,
      "metadata": {
        "id": "NIiLuz3jAWKc"
      },
      "outputs": [],
      "source": [
        "# Hyperparameter\n",
        "################################################################################\n",
        "# TODO:                                                                        #\n",
        "# Hyperparameter Tuning                                                        #\n",
        "################################################################################\n",
        "\n",
        "\n",
        "learning_rate = 1e-4      # 1e-3 ~ 1e-5\n",
        "n_epoch = 10               # epoch 수가 더 늘어나면 좋을까요? 학습을 많이 하니까?\n",
        "input_size = 200  # 임베딩 차원\n",
        "hidden_size = 256  # 히든 상태의 차원\n",
        "vocab_size = 10000  # 전체 단어장의 크기\n",
        "\n",
        "################################################################################\n",
        "#                                 END OF YOUR CODE                             #\n",
        "################################################################################\n",
        "\n",
        "\n",
        "\n",
        "# 이 외에도 아래 변수들도 Hyperparmeter에 해당하지만 이 부분은 고정해주세요. 위의 Hyperparameter를 tuning해보면서 결과에 큰 차이가 있는지 확인해봅시다.\n",
        "CLIP = 1                    # Exploding Gradient가 일어날 때 Gradient를 줄여주기 위해 설정하는 값입니다.\n",
        "dropout = 0.1               # 이 부분은 자세히 배우지 않은 걸로 알고 있어서 추가하진 않았지만 궁금하신 분들은 dropout 값도 tuning 해 보셔도 좋을 것 같습니다.\n",
        "\n",
        "\n",
        "\n",
        "# 모델을 설정합니다\n",
        "model = MovieClassification(input_size=input_size, hidden_size=hidden_size, vocab_size=vocab_size, dropout=dropout)\n",
        "model.to(device)\n",
        "\n",
        "# 손실함수와 Optimization 형태를 설정해줍니다.\n",
        "criterion = torch.nn.BCEWithLogitsLoss()\n",
        "optimizer = torch.optim.Adam(model.parameters(), lr=learning_rate)\n",
        "\n",
        "# 가장 성능이 좋은 모델을 저장하기 위해 valid_loss가 가장 작은 값을 찾아야 합니다. 왜 train_loss가 아니라 valid_loss로 판단하는지 생각해봅시다.\n",
        "best_valid_loss = float('inf')"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "MZZysKNYKmzZ"
      },
      "source": [
        "### Training Phase\n",
        "이제 직접 학습을 진행해볼 차례입니다! Hyperparameter에 따라 값이 달라지기는 하겠지만 대략적으로 가장 높은 F1 score가 0.8 이상 나오면 모델이 잘 구현된 것입니다.\n",
        "\n",
        "**모델의 학습이 실제로 되는지 궁금하신 분들은 아래 train 코드를 실행하기 전에 그 아래 inference부터 해보셔도 좋을 것 같습니다.**\n",
        "\n",
        "모델이 학습이 하나도 되지 않았을 때 감성 분석을 어떻게 하는지 살펴봅시다."
      ]
    },
    {
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      "execution_count": 21,
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        },
        "outputId": "f3236859-22ee-449f-cf46-2be78f975ecc"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stderr",
          "text": [
            "<ipython-input-15-72e20c0121ff>:4: TqdmDeprecationWarning: This function will be removed in tqdm==5.0.0\n",
            "Please use `tqdm.notebook.tqdm` instead of `tqdm.tqdm_notebook`\n",
            "  with tqdm_notebook(total=len(train_loader), desc=f\"Train {epoch}\") as pbar:\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "Train 0:   0%|          | 0/1172 [00:00<?, ?it/s]"
            ],
            "application/vnd.jupyter.widget-view+json": {
              "version_major": 2,
              "version_minor": 0,
              "model_id": "202c0bfd9599441dbfdfe13d11b5c2e1"
            }
          },
          "metadata": {}
        },
        {
          "output_type": "stream",
          "name": "stderr",
          "text": [
            "<ipython-input-19-a2c2dc9dd493>:23: TqdmDeprecationWarning: This function will be removed in tqdm==5.0.0\n",
            "Please use `tqdm.notebook.tqdm` instead of `tqdm.tqdm_notebook`\n",
            "  with tqdm_notebook(total=len(data_loader), desc=f\"Valid\") as pbar:\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "Valid:   0%|          | 0/391 [00:00<?, ?it/s]"
            ],
            "application/vnd.jupyter.widget-view+json": {
              "version_major": 2,
              "version_minor": 0,
              "model_id": "07f3b066de994c65823a7ef63f7a27ca"
            }
          },
          "metadata": {}
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "\tAccuracy: 0.506\n",
            "\tRecall: 0.994\n",
            "\tPrecision: 0.505\n",
            "\tF1 Score: 0.668\n",
            "Epoch: 01 | Train Loss: 0.693 | Val. Loss: 0.693\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "Train 1:   0%|          | 0/1172 [00:00<?, ?it/s]"
            ],
            "application/vnd.jupyter.widget-view+json": {
              "version_major": 2,
              "version_minor": 0,
              "model_id": "4d4780ddc6754cf2831f2d0c4688c96f"
            }
          },
          "metadata": {}
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "Valid:   0%|          | 0/391 [00:00<?, ?it/s]"
            ],
            "application/vnd.jupyter.widget-view+json": {
              "version_major": 2,
              "version_minor": 0,
              "model_id": "a7bbf19c86fe4131922b232a7f130cab"
            }
          },
          "metadata": {}
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "\tAccuracy: 0.511\n",
            "\tRecall: 0.984\n",
            "\tPrecision: 0.507\n",
            "\tF1 Score: 0.668\n",
            "Epoch: 02 | Train Loss: 0.693 | Val. Loss: 0.692\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "Train 2:   0%|          | 0/1172 [00:00<?, ?it/s]"
            ],
            "application/vnd.jupyter.widget-view+json": {
              "version_major": 2,
              "version_minor": 0,
              "model_id": "156bb6a27ac745599843333a0f39a436"
            }
          },
          "metadata": {}
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "Valid:   0%|          | 0/391 [00:00<?, ?it/s]"
            ],
            "application/vnd.jupyter.widget-view+json": {
              "version_major": 2,
              "version_minor": 0,
              "model_id": "001a70241f1342dcabd21b69b8edd1bf"
            }
          },
          "metadata": {}
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "\tAccuracy: 0.777\n",
            "\tRecall: 0.762\n",
            "\tPrecision: 0.788\n",
            "\tF1 Score: 0.774\n",
            "Epoch: 03 | Train Loss: 0.551 | Val. Loss: 0.489\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "Train 3:   0%|          | 0/1172 [00:00<?, ?it/s]"
            ],
            "application/vnd.jupyter.widget-view+json": {
              "version_major": 2,
              "version_minor": 0,
              "model_id": "a91e3eb90e36427cb699e0059ff9164a"
            }
          },
          "metadata": {}
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "Valid:   0%|          | 0/391 [00:00<?, ?it/s]"
            ],
            "application/vnd.jupyter.widget-view+json": {
              "version_major": 2,
              "version_minor": 0,
              "model_id": "37eb4185e87444c2b880d1fb7968386e"
            }
          },
          "metadata": {}
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "\tAccuracy: 0.798\n",
            "\tRecall: 0.833\n",
            "\tPrecision: 0.781\n",
            "\tF1 Score: 0.805\n",
            "Epoch: 04 | Train Loss: 0.450 | Val. Loss: 0.431\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "Train 4:   0%|          | 0/1172 [00:00<?, ?it/s]"
            ],
            "application/vnd.jupyter.widget-view+json": {
              "version_major": 2,
              "version_minor": 0,
              "model_id": "33d473dd04514c1683cbd5cfd4819184"
            }
          },
          "metadata": {}
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "Valid:   0%|          | 0/391 [00:00<?, ?it/s]"
            ],
            "application/vnd.jupyter.widget-view+json": {
              "version_major": 2,
              "version_minor": 0,
              "model_id": "5dd8da06fc4444deb0ede8df7ac801da"
            }
          },
          "metadata": {}
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "\tAccuracy: 0.818\n",
            "\tRecall: 0.774\n",
            "\tPrecision: 0.851\n",
            "\tF1 Score: 0.810\n",
            "Epoch: 05 | Train Loss: 0.402 | Val. Loss: 0.408\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "Train 5:   0%|          | 0/1172 [00:00<?, ?it/s]"
            ],
            "application/vnd.jupyter.widget-view+json": {
              "version_major": 2,
              "version_minor": 0,
              "model_id": "509ebf53949c4b1e8b2a6b44b90667df"
            }
          },
          "metadata": {}
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "Valid:   0%|          | 0/391 [00:00<?, ?it/s]"
            ],
            "application/vnd.jupyter.widget-view+json": {
              "version_major": 2,
              "version_minor": 0,
              "model_id": "ba6b51b3a5514336b55aabbea66a8934"
            }
          },
          "metadata": {}
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "\tAccuracy: 0.829\n",
            "\tRecall: 0.825\n",
            "\tPrecision: 0.835\n",
            "\tF1 Score: 0.829\n",
            "Epoch: 06 | Train Loss: 0.371 | Val. Loss: 0.384\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "Train 6:   0%|          | 0/1172 [00:00<?, ?it/s]"
            ],
            "application/vnd.jupyter.widget-view+json": {
              "version_major": 2,
              "version_minor": 0,
              "model_id": "194577125c9041fcb0181b73f9e3dce9"
            }
          },
          "metadata": {}
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "Valid:   0%|          | 0/391 [00:00<?, ?it/s]"
            ],
            "application/vnd.jupyter.widget-view+json": {
              "version_major": 2,
              "version_minor": 0,
              "model_id": "0888fee8a6594f0a8752471635562d4c"
            }
          },
          "metadata": {}
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "\tAccuracy: 0.832\n",
            "\tRecall: 0.852\n",
            "\tPrecision: 0.822\n",
            "\tF1 Score: 0.836\n",
            "Epoch: 07 | Train Loss: 0.349 | Val. Loss: 0.372\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "Train 7:   0%|          | 0/1172 [00:00<?, ?it/s]"
            ],
            "application/vnd.jupyter.widget-view+json": {
              "version_major": 2,
              "version_minor": 0,
              "model_id": "cf29499387d54ad4b6493ca0253ac57c"
            }
          },
          "metadata": {}
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "Valid:   0%|          | 0/391 [00:00<?, ?it/s]"
            ],
            "application/vnd.jupyter.widget-view+json": {
              "version_major": 2,
              "version_minor": 0,
              "model_id": "55fee1a8836746c284ab372ad3fb66c8"
            }
          },
          "metadata": {}
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "\tAccuracy: 0.839\n",
            "\tRecall: 0.801\n",
            "\tPrecision: 0.870\n",
            "\tF1 Score: 0.833\n",
            "Epoch: 08 | Train Loss: 0.330 | Val. Loss: 0.362\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "Train 8:   0%|          | 0/1172 [00:00<?, ?it/s]"
            ],
            "application/vnd.jupyter.widget-view+json": {
              "version_major": 2,
              "version_minor": 0,
              "model_id": "680e7adea7d247fa8d4b0a9235caf95a"
            }
          },
          "metadata": {}
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "Valid:   0%|          | 0/391 [00:00<?, ?it/s]"
            ],
            "application/vnd.jupyter.widget-view+json": {
              "version_major": 2,
              "version_minor": 0,
              "model_id": "fcc91858254947b2bd98ec7bb3dfc1b4"
            }
          },
          "metadata": {}
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "\tAccuracy: 0.841\n",
            "\tRecall: 0.870\n",
            "\tPrecision: 0.825\n",
            "\tF1 Score: 0.846\n",
            "Epoch: 09 | Train Loss: 0.314 | Val. Loss: 0.367\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "Train 9:   0%|          | 0/1172 [00:00<?, ?it/s]"
            ],
            "application/vnd.jupyter.widget-view+json": {
              "version_major": 2,
              "version_minor": 0,
              "model_id": "e9fa645b8b544d138518d3c7cbb50161"
            }
          },
          "metadata": {}
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "Valid:   0%|          | 0/391 [00:00<?, ?it/s]"
            ],
            "application/vnd.jupyter.widget-view+json": {
              "version_major": 2,
              "version_minor": 0,
              "model_id": "8c3bd65fe7da4f18aaa0b36bddd341ce"
            }
          },
          "metadata": {}
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "\tAccuracy: 0.842\n",
            "\tRecall: 0.869\n",
            "\tPrecision: 0.826\n",
            "\tF1 Score: 0.846\n",
            "Epoch: 10 | Train Loss: 0.299 | Val. Loss: 0.366\n"
          ]
        }
      ],
      "source": [
        "for epoch in range(n_epoch):\n",
        "    train_loss = train_epoch(epoch, model, criterion, optimizer, train_loader, CLIP)\n",
        "    valid_loss = eval_epoch(model, test_loader, criterion)\n",
        "\n",
        "    if valid_loss < best_valid_loss:\n",
        "        best_valid_loss = valid_loss\n",
        "        torch.save(model.state_dict(), 'model.pt')\n",
        "\n",
        "    print(f'Epoch: {epoch+1:02} | Train Loss: {train_loss:.3f} | Val. Loss: {valid_loss:.3f}')"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "F5fSkglpKriC"
      },
      "source": [
        "### 2-11 Model Inference\n",
        "학습된 모델로 직접 리뷰를 몇개 작성해보고 해당 리뷰의 감성을 분석해봅시다. 여기서는 아주 간단하게 모델이 예측한 값이 0.5 이하(0에 가까우면)일 때 부정, 이상(1에 가까우면)일 때 긍정으로 판단하겠습니다.\n",
        "\n",
        "당연히 모델 성능에 따라 다 맞추지는 못할 것입니다. 비교적 쉬운 문장으로 테스트 해주시면 좋을 것 같고 이 부분이 과제의 마지막 부분입니다! 본인의 예시를 5가지정도(더 많으면 좋아요) 만들어서 모델이 잘 예측하는지 확인해주세요."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 22,
      "metadata": {
        "id": "ZWXV_5wS_OGb"
      },
      "outputs": [],
      "source": [
        "def inference(input) :\n",
        "  sen = [vocab.piece_to_id(p) for p in input]\n",
        "\n",
        "  input = torch.Tensor(sen).long()\n",
        "  input = input.reshape(1, -1).to(device)\n",
        "\n",
        "  # 학습을 하지 않은 경우 저장된 model.pt가 없기 때문에 아래 코드를 주석처리해주셔야 합니다.\n",
        "  model.load_state_dict(torch.load('model.pt'))\n",
        "\n",
        "  output = model(input)\n",
        "  if output < 0.5:\n",
        "    sentiment = '부정'\n",
        "  else:\n",
        "    sentiment = '긍정'\n",
        "  return sentiment"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 24,
      "metadata": {
        "id": "R2LrPHMf_Na-",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "c35b8ebe-77dd-4a52-bc3a-9faafae2f2ad"
      },
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "리뷰 \"ADHD가 있거나 지능이 낮은 사람은 긴 러닝타임을 버티기 힘드니 예매 취소를 권장함\"에 대한 감성은 <긍정>입니다.\n",
            "리뷰 \" 왜 눈물이 나지걘적으로 놀란 감독 잭품 중 최고\"에 대한 감성은 <긍정>입니다.\n",
            "리뷰 \"웨이드 너무 취향저격 존귀탱ㅠㅜ 믿고 보는 픽사 디테일 쩔고 비주얼 미쳤음\"에 대한 감성은 <긍정>입니다.\n",
            "리뷰 \"안보는걸 추천합니다 보다 속터져 죽습니다\"에 대한 감성은 <부정>입니다.\n",
            "리뷰 \"밀수 당했다 티켓 표값을\"에 대한 감성은 <부정>입니다.\n",
            "리뷰 \"진짜 드럽게 재미없네\"에 대한 감성은 <부정>입니다.\n",
            "리뷰 \"이걸 왜 돈주고 보냐\"에 대한 감성은 <부정>입니다.\n",
            "리뷰 \"내 인생 5등 안에 드는 명작\"에 대한 감성은 <긍정>입니다.\n",
            "리뷰 \"배우들 연기 진짜 대박이다\"에 대한 감성은 <긍정>입니다.\n",
            "리뷰 \"역시 믿고보는 감독\"에 대한 감성은 <부정>입니다.\n",
            "리뷰 \"내가 연기해도 저거보다 잘하겠다\"에 대한 감성은 <부정>입니다.\n"
          ]
        }
      ],
      "source": [
        "# 직접 본인만의 예시를 넣어서 inference 해주세요!\n",
        "your_example = [\"ADHD가 있거나 지능이 낮은 사람은 긴 러닝타임을 버티기 힘드니 예매 취소를 권장함\",\n",
        "                \" 왜 눈물이 나지걘적으로 놀란 감독 잭품 중 최고\",\n",
        "                \"웨이드 너무 취향저격 존귀탱ㅠㅜ 믿고 보는 픽사 디테일 쩔고 비주얼 미쳤음\",\n",
        "                \"안보는걸 추천합니다 보다 속터져 죽습니다\",\n",
        "                \"밀수 당했다 티켓 표값을\",\n",
        "                \"진짜 드럽게 재미없네\",\n",
        "                \"이걸 왜 돈주고 보냐\",\n",
        "                \"내 인생 5등 안에 드는 명작\",\n",
        "                \"배우들 연기 진짜 대박이다\",\n",
        "                \"역시 믿고보는 감독\",\n",
        "                \"내가 연기해도 저거보다 잘하겠다\"]\n",
        "\n",
        "for sentence in your_example:\n",
        "  output = inference(sentence)\n",
        "  print(f\"리뷰 \\\"{sentence}\\\"에 대한 감성은 <{output}>입니다.\")"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "gpm7EmIA_sv-"
      },
      "source": [
        "## 3. Conclusion\n",
        "지금까지 ResNet과 LSTM 형태를 가장 간단하게 활용할 수 있는 과제를 직접 구현해보았습니다. 두 모델을 구현하고 모델을 학습하고, 그리고 추론까지 해보는 과정을 겪었는데 전반적인 과정에 대해서 간단한 소감을 작성해주세요. 추가적으로, 과제 중간 중간에 생각해볼만한 질문들을 몇가지 남겨두었습니다. 이 부분에 대한 답변은 필수는 아니지만 이런 부분에 대해서 답변해주셔도 좋습니다!\n",
        "\n",
        "만약 학습했던 모델의 성능이 생각보다 좋지 않았다면, 왜 그럴지, 그렇다면 무엇을 고쳐야할지, 잘 모르겠다면 모델의 한계점 등에 대해서 자유롭게 작성해 주세요.\n",
        "\n",
        "(모델이 잘 작동하지 못하는 이유에는 정답이 없습니다. 따라서 너무 어렵게 생각하지는 말아주세요! )"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "3f-qMouaAnBz"
      },
      "source": [
        "**Answer:**\n",
        "ResNet은 주로 이미지 인식과 분류 작업에, LSTM은 시퀀스 데이터나 시계열 예측에 적합하다는 이론적 배경을 실제 코드로 구현하며 체감할 수 있어서 좋았습니다.\n",
        "성능이 엄청 좋지는 않았는데, 하이퍼파라미터 설정이 관건이라고 생각합니다.학습률이나 epoch 같이 다양한 하이퍼파라미터를 조정하면서 원디비 등으로 loss를 실시간으로 관찰하고 적절하게 optimizing 하는 것의 필요를 느꼈습니다. 다양한 설정을 실험하여 최적의 조합을 찾는 것이 중요한 것 같습니다.\n"
      ]
    }
  ],
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