notebooks/04_news_mentioned_names_lstm_infer.ipynb

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tqdm\n","tqdm.pandas()\n","\n","import joblib"]},{"cell_type":"code","source":["df = pd.read_csv(\"/content/drive/MyDrive/Colab/ethnicolor/data/all_mentioned_names_lnfn.csv\")"],"metadata":{"id":"O6H6DaUD4NfF","executionInfo":{"status":"ok","timestamp":1688415201635,"user_tz":420,"elapsed":3833,"user":{"displayName":"Rajashekar Chintalapati","userId":"03596288833202137831"}}},"execution_count":2,"outputs":[]},{"cell_type":"code","source":["df['full_name'] = df['full_name'].str.strip()\n","df.dropna(inplace=True)\n","df.reset_index(drop=True, inplace=True)"],"metadata":{"id":"0DCotK_s5cbT","executionInfo":{"status":"ok","timestamp":1688415201637,"user_tz":420,"elapsed":19,"user":{"displayName":"Rajashekar Chintalapati","userId":"03596288833202137831"}}},"execution_count":3,"outputs":[]},{"cell_type":"code","source":["df.head()"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":206},"id":"9qvGqvI06Eqo","executionInfo":{"status":"ok","timestamp":1688415201637,"user_tz":420,"elapsed":18,"user":{"displayName":"Rajashekar Chintalapati","userId":"03596288833202137831"}},"outputId":"7c926204-8857-40e8-da37-678964d7fae5"},"execution_count":4,"outputs":[{"output_type":"execute_result","data":{"text/plain":["        full_name channel\n","0    Hochul Kathy     cnn\n","1      Clavin Don     cnn\n","2   Bellone Steve     cnn\n","3      Levine Ian     cnn\n","4  Zanona Melanie     cnn"],"text/html":["\n","  <div id=\"df-19b6392a-f7c4-4f13-a839-b858abb17991\">\n","    <div class=\"colab-df-container\">\n","      <div>\n","<style scoped>\n","    .dataframe tbody tr th:only-of-type {\n","        vertical-align: middle;\n","    }\n","\n","    .dataframe tbody tr th {\n","        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Chintalapati","userId":"03596288833202137831"}}},"execution_count":6,"outputs":[]},{"cell_type":"code","source":["max_name = 47\n","all_categories =  ['asian', 'hispanic', 'nh_black', 'nh_white', 'other']\n","n_categories = len(all_categories)\n","\n","vocab = list(vectorizer.get_feature_names_out())\n","all_letters = ''.join(vocab)\n","n_letters = len(vocab)\n","oob = n_letters + 1\n","vocab_size = oob + 1"],"metadata":{"id":"2ytlXs8hvcj9","executionInfo":{"status":"ok","timestamp":1688415204024,"user_tz":420,"elapsed":467,"user":{"displayName":"Rajashekar Chintalapati","userId":"03596288833202137831"}}},"execution_count":7,"outputs":[]},{"cell_type":"code","source":["# A custom Dataset class must implement three functions: __init__, __len__, and __getitem__\n","\n","class EthniColorDataset(Dataset):\n","  def __init__(self, data_df, transform=None):\n","    self.df = data_df\n","    self.transform = transform\n","\n","  def __len__(self):\n","    return len(self.df)\n","\n","  def __getitem__(self, idx):\n","    if torch.is_tensor(idx):\n","      idx = idx.tolist()\n","    name = self.df.iloc[idx, df.columns.get_loc('full_name')]\n","    if self.transform:\n","      name_ids = self.transform(name)\n","    return name, name_ids"],"metadata":{"id":"hevLv4U95ncQ","executionInfo":{"status":"ok","timestamp":1688415246254,"user_tz":420,"elapsed":331,"user":{"displayName":"Rajashekar Chintalapati","userId":"03596288833202137831"}}},"execution_count":8,"outputs":[]},{"cell_type":"code","source":["def letterToIndex(letter):\n","    return all_letters.find(letter)\n","\n","def lineToTensor(line):\n","    # if name is more than max_name\n","    try:\n","      if len(line) > max_name:\n","        line = line[:max_name]\n","      tensor = torch.ones(max_name) * oob\n","      for li, letter in enumerate(line):\n","          tensor[li] = letterToIndex(letter)\n","    except:\n","      print(line)\n","      raise\n","    return tensor"],"metadata":{"id":"5LDvGC6VxcfS","executionInfo":{"status":"ok","timestamp":1688415246590,"user_tz":420,"elapsed":4,"user":{"displayName":"Rajashekar Chintalapati","userId":"03596288833202137831"}}},"execution_count":9,"outputs":[]},{"cell_type":"code","source":["dataset = EthniColorDataset(df, lineToTensor)"],"metadata":{"id":"wO4Gslie6Wam","executionInfo":{"status":"ok","timestamp":1688415247258,"user_tz":420,"elapsed":3,"user":{"displayName":"Rajashekar Chintalapati","userId":"03596288833202137831"}}},"execution_count":10,"outputs":[]},{"cell_type":"code","source":["for i in range(3):\n","  name, ids  = dataset[i]\n","  print(i, name, ids)"],"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"BiEhA5NH7E3m","executionInfo":{"status":"ok","timestamp":1688415249839,"user_tz":420,"elapsed":531,"user":{"displayName":"Rajashekar Chintalapati","userId":"03596288833202137831"}},"outputId":"c546d441-e49b-41f8-8b6e-e9d80e9168c7"},"execution_count":11,"outputs":[{"output_type":"stream","name":"stdout","text":["0 Hochul Kathy tensor([10., 43., 31., 36., 49., 40.,  0., 13., 29., 48., 36., 53., 56., 56.,\n","        56., 56., 56., 56., 56., 56., 56., 56., 56., 56., 56., 56., 56., 56.,\n","        56., 56., 56., 56., 56., 56., 56., 56., 56., 56., 56., 56., 56., 56.,\n","        56., 56., 56., 56., 56.])\n","1 Clavin Don tensor([ 5., 40., 29., 50., 37., 42.,  0.,  6., 43., 42., 56., 56., 56., 56.,\n","        56., 56., 56., 56., 56., 56., 56., 56., 56., 56., 56., 56., 56., 56.,\n","        56., 56., 56., 56., 56., 56., 56., 56., 56., 56., 56., 56., 56., 56.,\n","        56., 56., 56., 56., 56.])\n","2 Bellone Steve tensor([ 4., 33., 40., 40., 43., 42., 33.,  0., 21., 48., 33., 50., 33., 56.,\n","        56., 56., 56., 56., 56., 56., 56., 56., 56., 56., 56., 56., 56., 56.,\n","        56., 56., 56., 56., 56., 56., 56., 56., 56., 56., 56., 56., 56., 56.,\n","        56., 56., 56., 56., 56.])\n"]}]},{"cell_type":"code","source":["import os\n","\n","batch_size=1024\n","\n","dataloader = DataLoader(dataset, batch_size=batch_size, shuffle=True, drop_last=True, num_workers=os.cpu_count())"],"metadata":{"id":"ER3pn4fw76IQ","executionInfo":{"status":"ok","timestamp":1688415249840,"user_tz":420,"elapsed":9,"user":{"displayName":"Rajashekar Chintalapati","userId":"03596288833202137831"}}},"execution_count":12,"outputs":[]},{"cell_type":"code","source":["for i_batch, sample_batched in enumerate(dataloader):\n","    print(i_batch, len(sample_batched[0]), sample_batched[1].size())\n","    if i_batch == 2:\n","        break"],"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"bME3Zbmr8ISu","executionInfo":{"status":"ok","timestamp":1688415263774,"user_tz":420,"elapsed":834,"user":{"displayName":"Rajashekar Chintalapati","userId":"03596288833202137831"}},"outputId":"35cd484b-c848-464d-e87c-684256ed4d91"},"execution_count":13,"outputs":[{"output_type":"stream","name":"stdout","text":["0 1024 torch.Size([1024, 47])\n","1 1024 torch.Size([1024, 47])\n","2 1024 torch.Size([1024, 47])\n"]}]},{"cell_type":"code","source":["# Set the random seed for reproducible results\n","torch.manual_seed(42)\n","device = torch.device(\"cuda:0\" if torch.cuda.is_available() else \"cpu\")\n","\n","class LSTM(nn.Module):\n","    def __init__(self, input_size, hidden_size, output_size, num_layers=1):\n","        super(LSTM, self).__init__()\n","        self.hidden_size = hidden_size\n","        self.num_layers = num_layers\n","\n","        # The nn.Embedding layer returns a new tensor with dimension (sequence_length, 1, hidden_size)\n","        self.embedding = nn.Embedding(input_size, hidden_size)\n","        # LSTM layer expects a tensor of dimension (batch_size, sequence_length, hidden_size).\n","        self.lstm = nn.LSTM(hidden_size, hidden_size, num_layers, batch_first=True)\n","        self.fc = nn.Linear(hidden_size, output_size)\n","        self.softmax = nn.LogSoftmax(dim=1)\n","\n","    def forward(self, input):\n","        embedded = self.embedding(input.type(torch.IntTensor).to(input.device))\n","        # embedded = embedded.view(embedded.shape[0],-1,embedded.shape[3])\n","        h0 = torch.zeros(self.num_layers, embedded.size(0), self.hidden_size).to(input.device)\n","        c0 = torch.zeros(self.num_layers, embedded.size(0), self.hidden_size).to(input.device)\n","        out, _ = self.lstm(embedded, (h0, c0))\n","        out = out[:, -1, :]  # get the output of the last time step\n","        out = self.fc(out)\n","        out = self.softmax(out)\n","        return out\n","\n","\n","n_hidden = 256\n","seq_len = max_name\n","\n","model = LSTM(vocab_size, n_hidden, n_categories, num_layers=2)\n","model.load_state_dict(torch.load('/content/drive/MyDrive/Colab/ethnicolor/models_v2/lstm/lstm_fullname.pt', map_location=device))\n","model.to(device)"],"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"8fYsrHPzvF9D","executionInfo":{"status":"ok","timestamp":1688415272289,"user_tz":420,"elapsed":8518,"user":{"displayName":"Rajashekar Chintalapati","userId":"03596288833202137831"}},"outputId":"6b7ddf8f-6e72-4ce8-fa8f-be6301fad81a"},"execution_count":14,"outputs":[{"output_type":"execute_result","data":{"text/plain":["LSTM(\n","  (embedding): Embedding(57, 256)\n","  (lstm): LSTM(256, 256, num_layers=2, batch_first=True)\n","  (fc): Linear(in_features=256, out_features=5, bias=True)\n","  (softmax): LogSoftmax(dim=1)\n",")"]},"metadata":{},"execution_count":14}]},{"cell_type":"code","source":["# Set the model to evaluation mode\n","model.eval()\n","\n","# Disable gradient calculations\n","with torch.no_grad():\n","    # List to hold the predictions\n","    predictions = []\n","    names = []\n","\n","    # Loop over the batches\n","    for batch in tqdm(dataloader):\n","        # Move the batch to the device the model is on\n","        nms = list(batch[0])\n","        tns = batch[1].to(device)\n","        # Compute the predictions\n","        outputs = model(tns)\n","        outputs = torch.argmax(outputs, dim=1)\n","        # Move the predictions to the CPU and convert to numpy arrays\n","        outputs = outputs.cpu().numpy()\n","        # Append the predictions to the list\n","        predictions.extend(list(outputs))\n","        names.extend(nms)"],"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"U-MyDlVY91rr","executionInfo":{"status":"ok","timestamp":1688415284373,"user_tz":420,"elapsed":12102,"user":{"displayName":"Rajashekar Chintalapati","userId":"03596288833202137831"}},"outputId":"0767a311-67fa-4526-bcb2-6af9cb3c670b"},"execution_count":15,"outputs":[{"output_type":"stream","name":"stderr","text":["100%|██████████| 419/419 [00:12<00:00, 33.81it/s]\n"]}]},{"cell_type":"code","source":["results_df = pd.DataFrame({'names': names, 'predictions':predictions})"],"metadata":{"id":"ymYfy4pm2K-h","executionInfo":{"status":"ok","timestamp":1688415288350,"user_tz":420,"elapsed":1327,"user":{"displayName":"Rajashekar Chintalapati","userId":"03596288833202137831"}}},"execution_count":16,"outputs":[]},{"cell_type":"code","source":["results_df.head()"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":206},"id":"WaRnvcYSbNFv","executionInfo":{"status":"ok","timestamp":1688415288350,"user_tz":420,"elapsed":7,"user":{"displayName":"Rajashekar 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results_df['preds'].value_counts().to_dict()"],"metadata":{"id":"5XjMWXjrelmC","executionInfo":{"status":"ok","timestamp":1688415300708,"user_tz":420,"elapsed":378,"user":{"displayName":"Rajashekar Chintalapati","userId":"03596288833202137831"}}},"execution_count":22,"outputs":[]},{"cell_type":"code","source":["results_df['preds'].value_counts().plot.bar(x='lab', y='val', rot=0)"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":447},"id":"s4THjyMdeMbW","executionInfo":{"status":"ok","timestamp":1688415307547,"user_tz":420,"elapsed":389,"user":{"displayName":"Rajashekar Chintalapati","userId":"03596288833202137831"}},"outputId":"d3328050-33c7-4491-acaf-c098ec1aee10"},"execution_count":23,"outputs":[{"output_type":"execute_result","data":{"text/plain":["<Axes: >"]},"metadata":{},"execution_count":23},{"output_type":"display_data","data":{"text/plain":["<Figure size 640x480 with 1 Axes>"],"image/png":"iVBORw0KGgoAAAANSUhEUgAAAkIAAAGdCAYAAAD+JxxnAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjcuMSwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/bCgiHAAAACXBIWXMAAA9hAAAPYQGoP6dpAAAy6UlEQVR4nO3df1RVdb7/8ReQ/FA8B1EBGVEsK2X8NaIhZaZFHou8Y+FNq1toVksvWMLkr8nQmpmFYzOTNpre6t5w7s3RnEmnJDHCwBlFLYpSJ8m8GrX0oJVwlBKUs79/9GVfjz/BRJDP87HWXsuzP+/92Z+9t+ecl/vsvfWzLMsSAACAgfybewAAAADNhSAEAACMRRACAADGIggBAABjEYQAAICxCEIAAMBYBCEAAGAsghAAADDWVc09gJbM6/XqwIEDat++vfz8/Jp7OAAAoAEsy9LRo0cVHR0tf//zn/MhCJ3HgQMHFBMT09zDAAAAF+HLL79U165dz1tDEDqP9u3bS/phRzocjmYeDQAAaAiPx6OYmBj7e/x8CELnUf9zmMPhIAgBAHCFachlLVwsDQAAjEUQAgAAxiIIAQAAYxGEAACAsQhCAADAWAQhAABgLIIQAAAwFkEIAAAYiyAEAACMRRACAADGIggBAABjEYQAAICxCEIAAMBYBCEAAGCsq5p7AJBiZ+U29xAuif3zk5t7CAAANApnhAAAgLEIQgAAwFgEIQAAYCyCEAAAMBZBCAAAGIsgBAAAjEUQAgAAxiIIAQAAYxGEAACAsQhCAADAWAQhAABgLIIQAAAwVqOC0NKlS9WvXz85HA45HA4lJiZq/fr1dvvx48eVlpamjh07KjQ0VCkpKaqoqPDpo7y8XMnJyWrbtq0iIiI0ffp0nTx50qemsLBQAwcOVFBQkHr27KmcnJwzxrJkyRLFxsYqODhYCQkJ2r59u097Q8YCAADM1qgg1LVrV82fP18lJSX64IMPdOutt+rnP/+5du3aJUnKyMjQW2+9pdWrV6uoqEgHDhzQPffcYy9fV1en5ORk1dbWasuWLVq+fLlycnKUlZVl1+zbt0/JyckaMWKESktLNW3aND3yyCPasGGDXbNq1SplZmZq7ty5+vDDD9W/f3+5XC4dOnTIrrnQWAAAAPwsy7J+TAfh4eF67rnnNHbsWHXu3FkrVqzQ2LFjJUm7d+9W7969VVxcrCFDhmj9+vW66667dODAAUVGRkqSli1bppkzZ+rw4cMKDAzUzJkzlZubq507d9rrGD9+vCorK5WXlydJSkhI0ODBg7V48WJJktfrVUxMjKZOnapZs2apqqrqgmNpCI/HI6fTqaqqKjkcjh+zm84rdlZuk/V9Oe2fn9zcQwAAoFHf3xd9jVBdXZ1Wrlyp6upqJSYmqqSkRCdOnFBSUpJd06tXL3Xr1k3FxcWSpOLiYvXt29cOQZLkcrnk8Xjss0rFxcU+fdTX1PdRW1urkpISnxp/f38lJSXZNQ0Zy9nU1NTI4/H4TAAAoPVqdBDasWOHQkNDFRQUpMmTJ2vNmjWKi4uT2+1WYGCgwsLCfOojIyPldrslSW632ycE1bfXt52vxuPx6Pvvv9fXX3+turq6s9ac2seFxnI22dnZcjqd9hQTE9OwnQIAAK5IjQ5C119/vUpLS7Vt2zZNmTJFqamp+uc//9kUY7vsZs+eraqqKnv68ssvm3tIAACgCV3V2AUCAwPVs2dPSVJ8fLzef/99LVq0SOPGjVNtba0qKyt9zsRUVFQoKipKkhQVFXXG3V31d3KdWnP63V0VFRVyOBwKCQlRQECAAgICzlpzah8XGsvZBAUFKSgoqBF7AwAAXMl+9HOEvF6vampqFB8frzZt2qigoMBuKysrU3l5uRITEyVJiYmJ2rFjh8/dXfn5+XI4HIqLi7NrTu2jvqa+j8DAQMXHx/vUeL1eFRQU2DUNGQsAAECjzgjNnj1bd9xxh7p166ajR49qxYoVKiws1IYNG+R0OjVp0iRlZmYqPDxcDodDU6dOVWJion2X1siRIxUXF6cHH3xQCxYskNvt1pw5c5SWlmafiZk8ebIWL16sGTNm6OGHH9bGjRv1+uuvKzf3/+6syszMVGpqqgYNGqQbbrhBCxcuVHV1tSZOnChJDRoLAABAo4LQoUOH9NBDD+ngwYNyOp3q16+fNmzYoNtvv12S9Pzzz8vf318pKSmqqamRy+XSiy++aC8fEBCgdevWacqUKUpMTFS7du2UmpqqZ5991q7p0aOHcnNzlZGRoUWLFqlr16565ZVX5HK57Jpx48bp8OHDysrKktvt1oABA5SXl+dzAfWFxgIAAPCjnyPUmvEcocbhOUIAgJbgsjxHCAAA4EpHEAIAAMYiCAEAAGMRhAAAgLEIQgAAwFgEIQAAYCyCEAAAMBZBCAAAGIsgBAAAjEUQAgAAxiIIAQAAYxGEAACAsQhCAADAWAQhAABgLIIQAAAwFkEIAAAYiyAEAACMRRACAADGIggBAABjEYQAAICxCEIAAMBYBCEAAGAsghAAADAWQQgAABiLIAQAAIxFEAIAAMYiCAEAAGMRhAAAgLEIQgAAwFgEIQAAYCyCEAAAMBZBCAAAGIsgBAAAjEUQAgAAxiIIAQAAYxGEAACAsQhCAADAWAQhAABgLIIQAAAwFkEIAAAYiyAEAACMRRACAADGIggBAABjEYQAAICxCEIAAMBYjQpC2dnZGjx4sNq3b6+IiAiNGTNGZWVlPjXDhw+Xn5+fzzR58mSfmvLyciUnJ6tt27aKiIjQ9OnTdfLkSZ+awsJCDRw4UEFBQerZs6dycnLOGM+SJUsUGxur4OBgJSQkaPv27T7tx48fV1pamjp27KjQ0FClpKSooqKiMZsMAABasUYFoaKiIqWlpWnr1q3Kz8/XiRMnNHLkSFVXV/vUPfroozp48KA9LViwwG6rq6tTcnKyamtrtWXLFi1fvlw5OTnKysqya/bt26fk5GSNGDFCpaWlmjZtmh555BFt2LDBrlm1apUyMzM1d+5cffjhh+rfv79cLpcOHTpk12RkZOitt97S6tWrVVRUpAMHDuiee+5p9E4CAACtk59lWdbFLnz48GFFRESoqKhIw4YNk/TDGaEBAwZo4cKFZ11m/fr1uuuuu3TgwAFFRkZKkpYtW6aZM2fq8OHDCgwM1MyZM5Wbm6udO3fay40fP16VlZXKy8uTJCUkJGjw4MFavHixJMnr9SomJkZTp07VrFmzVFVVpc6dO2vFihUaO3asJGn37t3q3bu3iouLNWTIkAtun8fjkdPpVFVVlRwOx8XupguKnZXbZH1fTvvnJzf3EAAAaNT394+6RqiqqkqSFB4e7jP/tddeU6dOndSnTx/Nnj1b3333nd1WXFysvn372iFIklwulzwej3bt2mXXJCUl+fTpcrlUXFwsSaqtrVVJSYlPjb+/v5KSkuyakpISnThxwqemV69e6tatm11zupqaGnk8Hp8JAAC0Xldd7IJer1fTpk3TTTfdpD59+tjz77//fnXv3l3R0dH65JNPNHPmTJWVlemNN96QJLndbp8QJMl+7Xa7z1vj8Xj0/fff68iRI6qrqztrze7du+0+AgMDFRYWdkZN/XpOl52drWeeeaaRewIAAFypLjoIpaWlaefOnfrHP/7hM/+xxx6z/9y3b1916dJFt912m/bu3atrrrnm4kd6GcyePVuZmZn2a4/Ho5iYmGYcEQAAaEoX9dNYenq61q1bp/fee09du3Y9b21CQoIk6fPPP5ckRUVFnXHnVv3rqKio89Y4HA6FhISoU6dOCggIOGvNqX3U1taqsrLynDWnCwoKksPh8JkAAEDr1aggZFmW0tPTtWbNGm3cuFE9evS44DKlpaWSpC5dukiSEhMTtWPHDp+7u/Lz8+VwOBQXF2fXFBQU+PSTn5+vxMRESVJgYKDi4+N9arxerwoKCuya+Ph4tWnTxqemrKxM5eXldg0AADBbo34aS0tL04oVK/S3v/1N7du3t6+1cTqdCgkJ0d69e7VixQrdeeed6tixoz755BNlZGRo2LBh6tevnyRp5MiRiouL04MPPqgFCxbI7XZrzpw5SktLU1BQkCRp8uTJWrx4sWbMmKGHH35YGzdu1Ouvv67c3P+7uyozM1OpqakaNGiQbrjhBi1cuFDV1dWaOHGiPaZJkyYpMzNT4eHhcjgcmjp1qhITExt0xxgAAGj9GhWEli5dKumHW+RP9eqrr2rChAkKDAzUu+++a4eSmJgYpaSkaM6cOXZtQECA1q1bpylTpigxMVHt2rVTamqqnn32WbumR48eys3NVUZGhhYtWqSuXbvqlVdekcvlsmvGjRunw4cPKysrS263WwMGDFBeXp7PBdTPP/+8/P39lZKSopqaGrlcLr344ouN2kEAAKD1+lHPEWrteI5Q4/AcIQBAS3DZniMEAABwJSMIAQAAYxGEAACAsQhCAADAWAQhAABgLIIQAAAwFkEIAAAYiyAEAACMRRACAADGIggBAABjEYQAAICxCEIAAMBYBCEAAGAsghAAADAWQQgAABiLIAQAAIxFEAIAAMYiCAEAAGMRhAAAgLEIQgAAwFgEIQAAYCyCEAAAMBZBCAAAGIsgBAAAjEUQAgAAxiIIAQAAYxGEAACAsQhCAADAWAQhAABgLIIQAAAwFkEIAAAYiyAEAACMRRACAADGIggBAABjEYQAAICxCEIAAMBYBCEAAGAsghAAADAWQQgAABiLIAQAAIxFEAIAAMYiCAEAAGMRhAAAgLEIQgAAwFgEIQAAYKxGBaHs7GwNHjxY7du3V0REhMaMGaOysjKfmuPHjystLU0dO3ZUaGioUlJSVFFR4VNTXl6u5ORktW3bVhEREZo+fbpOnjzpU1NYWKiBAwcqKChIPXv2VE5OzhnjWbJkiWJjYxUcHKyEhARt37690WMBAADmalQQKioqUlpamrZu3ar8/HydOHFCI0eOVHV1tV2TkZGht956S6tXr1ZRUZEOHDige+65x26vq6tTcnKyamtrtWXLFi1fvlw5OTnKysqya/bt26fk5GSNGDFCpaWlmjZtmh555BFt2LDBrlm1apUyMzM1d+5cffjhh+rfv79cLpcOHTrU4LEAAACz+VmWZV3swocPH1ZERISKioo0bNgwVVVVqXPnzlqxYoXGjh0rSdq9e7d69+6t4uJiDRkyROvXr9ddd92lAwcOKDIyUpK0bNkyzZw5U4cPH1ZgYKBmzpyp3Nxc7dy5017X+PHjVVlZqby8PElSQkKCBg8erMWLF0uSvF6vYmJiNHXqVM2aNatBY7kQj8cjp9OpqqoqORyOi91NFxQ7K7fJ+r6c9s9Pbu4hAADQqO/vH3WNUFVVlSQpPDxcklRSUqITJ04oKSnJrunVq5e6deum4uJiSVJxcbH69u1rhyBJcrlc8ng82rVrl11zah/1NfV91NbWqqSkxKfG399fSUlJdk1DxnK6mpoaeTwenwkAALReFx2EvF6vpk2bpptuukl9+vSRJLndbgUGBiosLMynNjIyUm632645NQTVt9e3na/G4/Ho+++/19dff626urqz1pzax4XGcrrs7Gw5nU57iomJaeDeAAAAV6KLDkJpaWnauXOnVq5ceSnH06xmz56tqqoqe/ryyy+be0gAAKAJXXUxC6Wnp2vdunXatGmTunbtas+PiopSbW2tKisrfc7EVFRUKCoqyq45/e6u+ju5Tq05/e6uiooKORwOhYSEKCAgQAEBAWetObWPC43ldEFBQQoKCmrEngAAAFeyRp0RsixL6enpWrNmjTZu3KgePXr4tMfHx6tNmzYqKCiw55WVlam8vFyJiYmSpMTERO3YscPn7q78/Hw5HA7FxcXZNaf2UV9T30dgYKDi4+N9arxerwoKCuyahowFAACYrVFnhNLS0rRixQr97W9/U/v27e1rbZxOp0JCQuR0OjVp0iRlZmYqPDxcDodDU6dOVWJion2X1siRIxUXF6cHH3xQCxYskNvt1pw5c5SWlmafjZk8ebIWL16sGTNm6OGHH9bGjRv1+uuvKzf3/+6uyszMVGpqqgYNGqQbbrhBCxcuVHV1tSZOnGiP6UJjAQAAZmtUEFq6dKkkafjw4T7zX331VU2YMEGS9Pzzz8vf318pKSmqqamRy+XSiy++aNcGBARo3bp1mjJlihITE9WuXTulpqbq2WeftWt69Oih3NxcZWRkaNGiReratateeeUVuVwuu2bcuHE6fPiwsrKy5Ha7NWDAAOXl5flcQH2hsQAAALP9qOcItXY8R6hxeI4QAKAluGzPEQIAALiSEYQAAICxCEIAAMBYBCEAAGAsghAAADAWQQgAABiLIAQAAIxFEAIAAMYiCAEAAGMRhAAAgLEIQgAAwFgEIQAAYCyCEAAAMBZBCAAAGIsgBAAAjEUQAgAAxiIIAQAAYxGEAACAsQhCAADAWAQhAABgLIIQAAAwFkEIAAAYiyAEAACMRRACAADGIggBAABjEYQAAICxCEIAAMBYBCEAAGAsghAAADAWQQgAABiLIAQAAIxFEAIAAMYiCAEAAGMRhAAAgLEIQgAAwFgEIQAAYCyCEAAAMBZBCAAAGIsgBAAAjEUQAgAAxiIIAQAAYxGEAACAsQhCAADAWAQhAABgLIIQAAAwVqOD0KZNmzR69GhFR0fLz89Pa9eu9WmfMGGC/Pz8fKZRo0b51Hz77bd64IEH5HA4FBYWpkmTJunYsWM+NZ988oluvvlmBQcHKyYmRgsWLDhjLKtXr1avXr0UHBysvn376u233/ZptyxLWVlZ6tKli0JCQpSUlKQ9e/Y0dpMBAEAr1eggVF1drf79+2vJkiXnrBk1apQOHjxoT3/+85992h944AHt2rVL+fn5WrdunTZt2qTHHnvMbvd4PBo5cqS6d++ukpISPffcc5o3b55eeuklu2bLli267777NGnSJH300UcaM2aMxowZo507d9o1CxYs0AsvvKBly5Zp27ZtateunVwul44fP97YzQYAAK2Qn2VZ1kUv7OenNWvWaMyYMfa8CRMmqLKy8owzRfU+/fRTxcXF6f3339egQYMkSXl5ebrzzjv11VdfKTo6WkuXLtVTTz0lt9utwMBASdKsWbO0du1a7d69W5I0btw4VVdXa926dXbfQ4YM0YABA7Rs2TJZlqXo6Gj94he/0JNPPilJqqqqUmRkpHJycjR+/PgLbp/H45HT6VRVVZUcDsfF7KIGiZ2V22R9X0775yc39xAAAGjU93eTXCNUWFioiIgIXX/99ZoyZYq++eYbu624uFhhYWF2CJKkpKQk+fv7a9u2bXbNsGHD7BAkSS6XS2VlZTpy5Ihdk5SU5LNel8ul4uJiSdK+ffvkdrt9apxOpxISEuya09XU1Mjj8fhMAACg9brkQWjUqFH605/+pIKCAv32t79VUVGR7rjjDtXV1UmS3G63IiIifJa56qqrFB4eLrfbbddERkb61NS/vlDNqe2nLne2mtNlZ2fL6XTaU0xMTKO3HwAAXDmuutQdnvqTU9++fdWvXz9dc801Kiws1G233XapV3dJzZ49W5mZmfZrj8dDGAIAoBVr8tvnr776anXq1Emff/65JCkqKkqHDh3yqTl58qS+/fZbRUVF2TUVFRU+NfWvL1Rzavupy52t5nRBQUFyOBw+EwAAaL2aPAh99dVX+uabb9SlSxdJUmJioiorK1VSUmLXbNy4UV6vVwkJCXbNpk2bdOLECbsmPz9f119/vTp06GDXFBQU+KwrPz9fiYmJkqQePXooKirKp8bj8Wjbtm12DQAAMFujg9CxY8dUWlqq0tJSST9clFxaWqry8nIdO3ZM06dP19atW7V//34VFBTo5z//uXr27CmXyyVJ6t27t0aNGqVHH31U27dv1+bNm5Wenq7x48crOjpaknT//fcrMDBQkyZN0q5du7Rq1SotWrTI52erJ554Qnl5efr973+v3bt3a968efrggw+Unp4u6Yc72qZNm6Zf//rXevPNN7Vjxw499NBDio6O9rnLDQAAmKvR1wh98MEHGjFihP26PpykpqZq6dKl+uSTT7R8+XJVVlYqOjpaI0eO1K9+9SsFBQXZy7z22mtKT0/XbbfdJn9/f6WkpOiFF16w251Op9555x2lpaUpPj5enTp1UlZWls+zhm688UatWLFCc+bM0S9/+Utde+21Wrt2rfr06WPXzJgxQ9XV1XrsscdUWVmpoUOHKi8vT8HBwY3dbAAA0Ar9qOcItXY8R6hxeI4QAKAlaPbnCAEAAFwJCEIAAMBYBCEAAGAsghAAADAWQQgAABiLIAQAAIxFEAIAAMYiCAEAAGMRhAAAgLEIQgAAwFgEIQAAYCyCEAAAMBZBCAAAGIsgBAAAjEUQAgAAxiIIAQAAYxGEAACAsQhCAADAWAQhAABgLIIQAAAwFkEIAAAYiyAEAACMRRACAADGIggBAABjEYQAAICxCEIAAMBYBCEAAGAsghAAADAWQQgAABiLIAQAAIxFEAIAAMYiCAEAAGMRhAAAgLEIQgAAwFgEIQAAYCyCEAAAMBZBCAAAGIsgBAAAjEUQAgAAxiIIAQAAYxGEAACAsQhCAADAWAQhAABgLIIQAAAwVqOD0KZNmzR69GhFR0fLz89Pa9eu9Wm3LEtZWVnq0qWLQkJClJSUpD179vjUfPvtt3rggQfkcDgUFhamSZMm6dixYz41n3zyiW6++WYFBwcrJiZGCxYsOGMsq1evVq9evRQcHKy+ffvq7bffbvRYAACAuRodhKqrq9W/f38tWbLkrO0LFizQCy+8oGXLlmnbtm1q166dXC6Xjh8/btc88MAD2rVrl/Lz87Vu3Tpt2rRJjz32mN3u8Xg0cuRIde/eXSUlJXruuec0b948vfTSS3bNli1bdN9992nSpEn66KOPNGbMGI0ZM0Y7d+5s1FgAAIC5/CzLsi56YT8/rVmzRmPGjJH0wxmY6Oho/eIXv9CTTz4pSaqqqlJkZKRycnI0fvx4ffrpp4qLi9P777+vQYMGSZLy8vJ055136quvvlJ0dLSWLl2qp556Sm63W4GBgZKkWbNmae3atdq9e7ckady4caqurta6devs8QwZMkQDBgzQsmXLGjSWC/F4PHI6naqqqpLD4bjY3XRBsbNym6zvy2n//OTmHgIAAI36/r6k1wjt27dPbrdbSUlJ9jyn06mEhAQVFxdLkoqLixUWFmaHIElKSkqSv7+/tm3bZtcMGzbMDkGS5HK5VFZWpiNHjtg1p66nvqZ+PQ0Zy+lqamrk8Xh8JgAA0Hpd0iDkdrslSZGRkT7zIyMj7Ta3262IiAif9quuukrh4eE+NWfr49R1nKvm1PYLjeV02dnZcjqd9hQTE9OArQYAAFcq7ho7xezZs1VVVWVPX375ZXMPCQAANKFLGoSioqIkSRUVFT7zKyoq7LaoqCgdOnTIp/3kyZP69ttvfWrO1sep6zhXzantFxrL6YKCguRwOHwmAADQel3SINSjRw9FRUWpoKDAnufxeLRt2zYlJiZKkhITE1VZWamSkhK7ZuPGjfJ6vUpISLBrNm3apBMnTtg1+fn5uv7669WhQwe75tT11NfUr6chYwEAAGZrdBA6duyYSktLVVpaKumHi5JLS0tVXl4uPz8/TZs2Tb/+9a/15ptvaseOHXrooYcUHR1t31nWu3dvjRo1So8++qi2b9+uzZs3Kz09XePHj1d0dLQk6f7771dgYKAmTZqkXbt2adWqVVq0aJEyMzPtcTzxxBPKy8vT73//e+3evVvz5s3TBx98oPT0dElq0FgAAIDZrmrsAh988IFGjBhhv64PJ6mpqcrJydGMGTNUXV2txx57TJWVlRo6dKjy8vIUHBxsL/Paa68pPT1dt912m/z9/ZWSkqIXXnjBbnc6nXrnnXeUlpam+Ph4derUSVlZWT7PGrrxxhu1YsUKzZkzR7/85S917bXXau3aterTp49d05CxAAAAc/2o5wi1djxHqHF4jhAAoCVotucIAQAAXEkIQgAAwFgEIQAAYCyCEAAAMBZBCAAAGIsgBAAAjEUQAgAAxiIIAQAAYxGEAACAsQhCAADAWAQhAABgLIIQAAAwFkEIAAAYiyAEAACMRRACAADGIggBAABjEYQAAICxCEIAAMBYBCEAAGAsghAAADAWQQgAABiLIAQAAIxFEAIAAMYiCAEAAGMRhAAAgLEIQgAAwFgEIQAAYCyCEAAAMBZBCAAAGIsgBAAAjEUQAgAAxiIIAQAAYxGEAACAsQhCAADAWAQhAABgLIIQAAAwFkEIAAAYiyAEAACMRRACAADGIggBAABjEYQAAICxCEIAAMBYBCEAAGAsghAAADAWQQgAABjrkgehefPmyc/Pz2fq1auX3X78+HGlpaWpY8eOCg0NVUpKiioqKnz6KC8vV3Jystq2bauIiAhNnz5dJ0+e9KkpLCzUwIEDFRQUpJ49eyonJ+eMsSxZskSxsbEKDg5WQkKCtm/ffqk3FwAAXMGa5IzQT3/6Ux08eNCe/vGPf9htGRkZeuutt7R69WoVFRXpwIEDuueee+z2uro6JScnq7a2Vlu2bNHy5cuVk5OjrKwsu2bfvn1KTk7WiBEjVFpaqmnTpumRRx7Rhg0b7JpVq1YpMzNTc+fO1Ycffqj+/fvL5XLp0KFDTbHJAADgCuRnWZZ1KTucN2+e1q5dq9LS0jPaqqqq1LlzZ61YsUJjx46VJO3evVu9e/dWcXGxhgwZovXr1+uuu+7SgQMHFBkZKUlatmyZZs6cqcOHDyswMFAzZ85Ubm6udu7cafc9fvx4VVZWKi8vT5KUkJCgwYMHa/HixZIkr9ermJgYTZ06VbNmzWrQtng8HjmdTlVVVcnhcPyY3XJesbNym6zvy2n//OTmHgIAAI36/m6SM0J79uxRdHS0rr76aj3wwAMqLy+XJJWUlOjEiRNKSkqya3v16qVu3bqpuLhYklRcXKy+ffvaIUiSXC6XPB6Pdu3aZdec2kd9TX0ftbW1Kikp8anx9/dXUlKSXXM2NTU18ng8PhMAAGi9LnkQSkhIUE5OjvLy8rR06VLt27dPN998s44ePSq3263AwECFhYX5LBMZGSm32y1JcrvdPiGovr2+7Xw1Ho9H33//vb7++mvV1dWdtaa+j7PJzs6W0+m0p5iYmIvaBwAA4Mpw1aXu8I477rD/3K9fPyUkJKh79+56/fXXFRIScqlXd0nNnj1bmZmZ9muPx0MYAgCgFWvy2+fDwsJ03XXX6fPPP1dUVJRqa2tVWVnpU1NRUaGoqChJUlRU1Bl3kdW/vlCNw+FQSEiIOnXqpICAgLPW1PdxNkFBQXI4HD4TAABovZo8CB07dkx79+5Vly5dFB8frzZt2qigoMBuLysrU3l5uRITEyVJiYmJ2rFjh8/dXfn5+XI4HIqLi7NrTu2jvqa+j8DAQMXHx/vUeL1eFRQU2DUAAACXPAg9+eSTKioq0v79+7VlyxbdfffdCggI0H333Sen06lJkyYpMzNT7733nkpKSjRx4kQlJiZqyJAhkqSRI0cqLi5ODz74oD7++GNt2LBBc+bMUVpamoKCgiRJkydP1v/+7/9qxowZ2r17t1588UW9/vrrysjIsMeRmZmpl19+WcuXL9enn36qKVOmqLq6WhMnTrzUmwwAAK5Ql/waoa+++kr33XefvvnmG3Xu3FlDhw7V1q1b1blzZ0nS888/L39/f6WkpKimpkYul0svvviivXxAQIDWrVunKVOmKDExUe3atVNqaqqeffZZu6ZHjx7Kzc1VRkaGFi1apK5du+qVV16Ry+Wya8aNG6fDhw8rKytLbrdbAwYMUF5e3hkXUAMAAHNd8ucItSY8R6hxeI4QAKAlaPbnCAEAAFwJCEIAAMBYBCEAAGCsS36xNHAl43otADALZ4QAAICxCEIAAMBYBCEAAGAsghAAADAWF0sDaLFaw8XrXLgOtGycEQIAAMYiCAEAAGPx0xgA4IL4mRKtFWeEAACAsQhCAADAWAQhAABgLIIQAAAwFkEIAAAYiyAEAACMRRACAADGIggBAABjEYQAAICxCEIAAMBYBCEAAGAsghAAADAWQQgAABiLIAQAAIxFEAIAAMYiCAEAAGMRhAAAgLEIQgAAwFgEIQAAYCyCEAAAMBZBCAAAGIsgBAAAjEUQAgAAxiIIAQAAYxGEAACAsQhCAADAWAQhAABgLIIQAAAwFkEIAAAYiyAEAACMRRACAADGIggBAABjEYQAAICxjAhCS5YsUWxsrIKDg5WQkKDt27c395AAAEAL0OqD0KpVq5SZmam5c+fqww8/VP/+/eVyuXTo0KHmHhoAAGhmVzX3AJraH/7wBz366KOaOHGiJGnZsmXKzc3Vf/3Xf2nWrFnNPDoAABondlZucw/hktg/P7m5hyCplQeh2tpalZSUaPbs2fY8f39/JSUlqbi4+Iz6mpoa1dTU2K+rqqokSR6Pp0nH6a35rkn7v1yaej9dDhyLlqU1HA+ORcvBsWhZmvJ41PdtWdYFa1t1EPr6669VV1enyMhIn/mRkZHavXv3GfXZ2dl65plnzpgfExPTZGNsTZwLm3sEqMexaDk4Fi0Hx6JluRzH4+jRo3I6neetadVBqLFmz56tzMxM+7XX69W3336rjh07ys/PrxlH9uN4PB7FxMToyy+/lMPhaO7hGI1j0XJwLFoWjkfL0RqOhWVZOnr0qKKjoy9Y26qDUKdOnRQQEKCKigqf+RUVFYqKijqjPigoSEFBQT7zwsLCmnKIl5XD4bhi/1K3NhyLloNj0bJwPFqOK/1YXOhMUL1WfddYYGCg4uPjVVBQYM/zer0qKChQYmJiM44MAAC0BK36jJAkZWZmKjU1VYMGDdINN9yghQsXqrq62r6LDAAAmKvVB6Fx48bp8OHDysrKktvt1oABA5SXl3fGBdStWVBQkObOnXvGz364/DgWLQfHomXheLQcph0LP6sh95YBAAC0Qq36GiEAAIDzIQgBAABjEYQAAICxCEItjJ+fn9auXXtZ1hUbG6uFCxees33//v3y8/NTaWnpZRlPS/RjjkdhYaH8/PxUWVl5zpqcnJxL+qyqhqwTP7ic77Ur1fDhwzVt2rRztrfEfXihMePsTN5vrf6uMVy8mJgYHTx4UJ06dZL0w5fsiBEjdOTIkVb1oEmY6eDBg+rQoUNzD+OK1hL34RtvvKE2bdo09zBaLD7Hz0QQwjkFBASc9QncQGvA3+0fryXuw/Dw8OYeAv6/2tpaBQYGNvcwLoifxi6z4cOH6/HHH9eMGTMUHh6uqKgozZs3z6fm66+/1t133622bdvq2muv1ZtvvtmgvgcNGqTf/e539usxY8aoTZs2OnbsmCTpq6++kp+fnz7//HO75rvvvtPDDz+s9u3bq1u3bnrppZfstlN/Gtu/f79GjBghSerQoYP8/Pw0YcIEST88rTs7O1s9evRQSEiI+vfvr7/85S8Xs3suu6Y8HvU2b96sfv36KTg4WEOGDNHOnTvPWbt37179/Oc/V2RkpEJDQzV48GC9++67PjU1NTWaOXOmYmJiFBQUpJ49e+o///M/z9rfd999pzvuuEM33XRTq/y5LC8vT0OHDlVYWJg6duyou+66S3v37pX0w4dwenq6unTpouDgYHXv3l3Z2dn2sqf/rDNz5kxdd911atu2ra6++mo9/fTTOnHihN0+b948DRgwQP/93/+t2NhYOZ1OjR8/XkePHr1s29scvF7vOd8fp+7DhuzvpUuX6o477lBISIiuvvrqMz4nLsUxOP0nnsa8X1qLmpoaPf7444qIiFBwcLCGDh2q999//7yf49L5j7UkVVZW6pFHHlHnzp3lcDh066236uOPP7bb64/PK6+8oh49eig4OPhybO6PZ+GyuuWWWyyHw2HNmzfP+uyzz6zly5dbfn5+1jvvvGNZlmVJsrp27WqtWLHC2rNnj/X4449boaGh1jfffHPBvjMzM63k5GTLsizL6/Va4eHhVqdOnaz169dblmVZ//M//2P95Cc/seu7d+9uhYeHW0uWLLH27NljZWdnW/7+/tbu3bsty7Ksffv2WZKsjz76yDp58qT117/+1ZJklZWVWQcPHrQqKysty7KsX//611avXr2svLw8a+/evdarr75qBQUFWYWFhZd03zWFpjwe7733niXJ6t27t/XOO+9Yn3zyiXXXXXdZsbGxVm1trWVZlvXqq69aTqfTXqa0tNRatmyZtWPHDuuzzz6z5syZYwUHB1tffPGFXXPvvfdaMTEx1htvvGHt3bvXevfdd62VK1f6rPPIkSPWkSNHrBtvvNEaOXKkVV1dfQn3Wsvxl7/8xfrrX/9q7dmzx/roo4+s0aNHW3379rXq6uqs5557zoqJibE2bdpk7d+/3/r73/9urVixwl5WkrVmzRr79a9+9Str8+bN1r59+6w333zTioyMtH7729/a7XPnzrVCQ0Ote+65x9qxY4e1adMmKyoqyvrlL395OTf5smrI+6N+HzZkf3fs2NF6+eWXrbKyMmvOnDlWQECA9c9//tOuuRTH4JZbbrGeeOIJ+/X53i+t1eOPP25FR0dbb7/9trVr1y4rNTXV6tChg/X111+f83P8QsfasiwrKSnJGj16tPX+++9bn332mfWLX/zC6tixo/15OHfuXKtdu3bWqFGjrA8//ND6+OOPm2X7G4sgdJndcsst1tChQ33mDR482Jo5c6ZlWT98WMyZM8duO3bsmCXJDjPn8+abb1pOp9M6efKkVVpaakVFRVlPPPGE3fcjjzxi3X///XZ99+7drX/7t3+zX3u9XisiIsJaunSpZVm+QciyfL9k6x0/ftxq27attWXLFp+xTJo0ybrvvvsasEeaV1Mej/r9deqH7jfffGOFhIRYq1atsizrzCB0Nj/96U+tP/7xj5ZlWVZZWZklycrPzz/vOj/99FOrX79+VkpKilVTU3PBsbYWhw8ftiRZO3bssKZOnWrdeuutltfrPWvt6UHodM8995wVHx9vv547d67Vtm1by+Px2POmT59uJSQkXLLxtzQNeX/U78OG7O/Jkyf7zEtISLCmTJlyzvVfzDE4NQhd6P3SGh07dsxq06aN9dprr9nzamtrrejoaGvBggVn/Ry3rAsf67///e+Ww+Gwjh8/7lNzzTXXWP/xH/9hWdYPx6dNmzbWoUOHmmDLmg4/jTWDfv36+bzu0qWLDh06dNb2du3ayeFw+LSfy80336yjR4/qo48+UlFRkW655RYNHz5chYWFkqSioiINHz78nGPx8/NTVFRUg9ZV7/PPP9d3332n22+/XaGhofb0pz/9yf6JoqVrquNR79T/4Dc8PFzXX3+9Pv3007PWHjt2TE8++aR69+6tsLAwhYaG6tNPP1V5ebkkqbS0VAEBAbrlllvOu87bb79dPXv21KpVq66I3+gv1p49e3Tffffp6quvlsPhUGxsrCSpvLxcEyZMUGlpqa6//no9/vjjeuedd87b16pVq3TTTTcpKipKoaGhmjNnjr3f68XGxqp9+/b269P/rrRGF3p/1GvI/j79P7tOTEz0eS9c6mPQ0PdLa7J3716dOHFCN910kz2vTZs2uuGGG875uVPvfMf6448/1rFjx9SxY0efz/p9+/b5fNZ3795dnTt3voRb1PS4WLoZnH5Hg5+fn7xeb4PbzyUsLEz9+/dXYWGhiouLdfvtt2vYsGEaN26cPvvsM+3Zs+eMD4SLXVe9+uuPcnNz9ZOf/MSn7Ur5f2qa6nhcjCeffFL5+fn63e9+p549eyokJERjx45VbW2tJCkkJKRB/SQnJ+uvf/2r/vnPf6pv375NMtaWYPTo0erevbtefvllRUdHy+v1qk+fPqqtrdXAgQO1b98+rV+/Xu+++67uvfdeJSUlnfX6teLiYj3wwAN65pln5HK55HQ6tXLlSv3+97/3qbucfxdaioZuc2P299k0xTFo6PsFPzjfvj127Ji6dOli/8P6VKfefdauXbumHGKTIAi1Mrfccovee+89bd++Xb/5zW8UHh6u3r176ze/+Y26dOmi66677qL7rj+zUFdXZ8+Li4tTUFCQysvLjfpXV2Ns3bpV3bp1kyQdOXJEn332mXr37n3W2s2bN2vChAm6++67Jf3w4bN//367vW/fvvJ6vSoqKlJSUtI51zl//nyFhobqtttuU2FhoeLi4i7dBrUQ33zzjcrKyvTyyy/r5ptvliT94x//8KlxOBwaN26cxo0bp7Fjx2rUqFH69ttvz7izaMuWLerevbueeuope94XX3zR9BvRylxof2/dulUPPfSQXb9161b97Gc/k9Q0x6Ch75fW5JprrlFgYKA2b96s7t27S5JOnDih999/X9OmTTvr53hDDBw4UG63W1dddZV95rW1IAi1MsOHD9cf//hHde7cWb169bLnLV68WP/6r//6o/ru3r27/Pz8tG7dOt15550KCQlR+/bt9eSTTyojI0Ner1dDhw5VVVWVNm/eLIfDodTU1EuxWVe0Z599Vh07dlRkZKSeeuopderUSWPGjDlr7bXXXqs33nhDo0ePlp+fn55++mmff+3GxsYqNTVVDz/8sF544QX1799fX3zxhQ4dOqR7773Xp6/f/e53qqur06233qrCwkL770Nr0aFDB3Xs2FEvvfSSunTpovLycs2aNctu/8Mf/qAuXbroZz/7mfz9/bV69WpFRUWd9dkp1157rcrLy7Vy5UoNHjxYubm5WrNmzWXcmitfQ/b36tWrNWjQIA0dOlSvvfaatm/fbt/B1RTHoDHvl9aiXbt2mjJliqZPn67w8HB169ZNCxYs0HfffadJkybpu+++O+NzPDQ09IL9JiUlKTExUWPGjNGCBQt03XXX6cCBA8rNzdXdd9+tQYMGXYataxpcI9TK3HzzzfJ6vT5nZ4YPH666urozrg9qrJ/85Cd65plnNGvWLEVGRio9PV2S9Ktf/UpPP/20srOz1bt3b40aNUq5ubnq0aPHj1pfazF//nw98cQTio+Pl9vt1ltvvXXO63b+8Ic/qEOHDrrxxhs1evRouVwuDRw40Kdm6dKlGjt2rP793/9dvXr10qOPPqrq6uqz9vf888/r3nvv1a233qrPPvvskm9bc/L399fKlStVUlKiPn36KCMjQ88995zd3r59ey1YsECDBg3S4MGDtX//fr399tvy9z/zY+9f/uVflJGRofT0dA0YMEBbtmzR008/fTk354rXkP39zDPPaOXKlerXr5/+9Kc/6c9//rN9trKpjkFj3i+txfz585WSkqIHH3xQAwcO1Oeff64NGzaoQ4cO5/wcvxA/Pz+9/fbbGjZsmCZOnKjrrrtO48eP1xdffKHIyMgm3qKm5WdZltXcgwAAtG5+fn5as2bNOc+GAs2FM0IAAMBYBKEryOTJk31uWzx1mjx5cnMPzzgcDwC48vHT2BXk0KFD8ng8Z21zOByKiIi4zCMyG8cDAK58BCEAAGAsfhoDAADGIggBAABjEYQAAICxCEIAAMBYBCEAAGAsghAAADAWQQgAABiLIAQAAIz1/wAgxnd7i50N/gAAAABJRU5ErkJggg==\n"},"metadata":{}}]},{"cell_type":"code","source":["results_df.shape[0]"],"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"rdIQ_Rdme_5I","executionInfo":{"status":"ok","timestamp":1688415363802,"user_tz":420,"elapsed":327,"user":{"displayName":"Rajashekar Chintalapati","userId":"03596288833202137831"}},"outputId":"40a9b779-117f-497e-f41d-1f11e4a1d2b7"},"execution_count":24,"outputs":[{"output_type":"execute_result","data":{"text/plain":["429056"]},"metadata":{},"execution_count":24}]},{"cell_type":"code","source":["res_dict"],"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"hAoEilvEfKFP","executionInfo":{"status":"ok","timestamp":1688415364901,"user_tz":420,"elapsed":4,"user":{"displayName":"Rajashekar Chintalapati","userId":"03596288833202137831"}},"outputId":"6fdcd705-c80c-4392-fb54-d013b8c0464b"},"execution_count":25,"outputs":[{"output_type":"execute_result","data":{"text/plain":["{'nh_white': 315262,\n"," 'nh_black': 40963,\n"," 'asian': 36785,\n"," 'hispanic': 34529,\n"," 'other': 1517}"]},"metadata":{},"execution_count":25}]},{"cell_type":"code","source":["for x in res_dict:\n","  print(f\"{x} - {round(res_dict[x]/results_df.shape[0], 3)}%\")"],"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"0r8czBhMdqWZ","executionInfo":{"status":"ok","timestamp":1688415367549,"user_tz":420,"elapsed":491,"user":{"displayName":"Rajashekar Chintalapati","userId":"03596288833202137831"}},"outputId":"d74baa5d-9885-43ad-e472-2fc3b97dcdb9"},"execution_count":26,"outputs":[{"output_type":"stream","name":"stdout","text":["nh_white - 0.735%\n","nh_black - 0.095%\n","asian - 0.086%\n","hispanic - 0.08%\n","other - 0.004%\n"]}]},{"cell_type":"code","source":["# prompt: merge df and results_df based on full_name and names\n","\n","df1 = pd.merge(df, results_df.drop_duplicates(subset=['names'], keep='first'), left_on='full_name', right_on='names')\n","print(df1.head())"],"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"xu7B1rlqvL0p","executionInfo":{"status":"ok","timestamp":1688415416659,"user_tz":420,"elapsed":850,"user":{"displayName":"Rajashekar Chintalapati","userId":"03596288833202137831"}},"outputId":"c39b4ffc-d2f0-4ff1-d385-02b2756e2629"},"execution_count":29,"outputs":[{"output_type":"stream","name":"stdout","text":["      full_name channel         names  predictions     preds\n","0  Hochul Kathy     cnn  Hochul Kathy            3  nh_white\n","1  Hochul Kathy     abc  Hochul Kathy            3  nh_white\n","2  Hochul Kathy     cbs  Hochul Kathy            3  nh_white\n","3  Hochul Kathy     nbc  Hochul Kathy            3  nh_white\n","4  Hochul Kathy     npr  Hochul Kathy            3  nh_white\n"]}]},{"cell_type":"code","source":["df1 = df1[['full_name', 'channel', 'preds', 'predictions']]"],"metadata":{"id":"J9zL4XG3vTnu","executionInfo":{"status":"ok","timestamp":1688415443884,"user_tz":420,"elapsed":313,"user":{"displayName":"Rajashekar Chintalapati","userId":"03596288833202137831"}}},"execution_count":31,"outputs":[]},{"cell_type":"code","source":["df1.groupby(['channel', 'preds']).size()"],"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"eO1HCOQ8yDUt","executionInfo":{"status":"ok","timestamp":1688415445013,"user_tz":420,"elapsed":3,"user":{"displayName":"Rajashekar Chintalapati","userId":"03596288833202137831"}},"outputId":"12a91169-802d-40a2-a951-cd467c287ac6"},"execution_count":32,"outputs":[{"output_type":"execute_result","data":{"text/plain":["channel   preds   \n","abc       asian         983\n","          hispanic     1434\n","          nh_black     1266\n","          nh_white    10381\n","          other          51\n","cbs       asian        3036\n","          hispanic     3003\n","          nh_black     3757\n","          nh_white    32256\n","          other         144\n","cnn       asian        4873\n","          hispanic     3876\n","          nh_black     5233\n","          nh_white    41670\n","          other         255\n","lat       asian        5796\n","          hispanic     8771\n","          nh_black     6796\n","          nh_white    47992\n","          other         168\n","nbc       asian        2842\n","          hispanic     3220\n","          nh_black     3112\n","          nh_white    25934\n","          other         131\n","npr       asian        5391\n","          hispanic     3098\n","          nh_black     3592\n","          nh_white    30003\n","          other         213\n","nyt       asian        2172\n","          hispanic     1667\n","          nh_black     2123\n","          nh_white    18960\n","          other         107\n","politico  asian         255\n","          hispanic      295\n","          nh_black      286\n","          nh_white     4365\n","          other          13\n","propub    asian         200\n","          hispanic      285\n","          nh_black      387\n","          nh_white     3592\n","          other          13\n","usat      asian        2846\n","          hispanic     3727\n","          nh_black     5794\n","          nh_white    41531\n","          other         142\n","wapo      asian        8406\n","          hispanic     5168\n","          nh_black     8637\n","          nh_white    58726\n","          other         282\n","dtype: int64"]},"metadata":{},"execution_count":32}]},{"cell_type":"code","source":["df1.groupby(['channel', 'preds']).size().unstack(fill_value=0).plot(kind='bar', figsize=(15, 10), rot=0)\n"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":716},"id":"yju5r5zm1Q5k","executionInfo":{"status":"ok","timestamp":1688415449507,"user_tz":420,"elapsed":680,"user":{"displayName":"Rajashekar Chintalapati","userId":"03596288833202137831"}},"outputId":"7d72d254-b532-46d3-a624-ed4eb8c1f8a5"},"execution_count":33,"outputs":[{"output_type":"execute_result","data":{"text/plain":["<Axes: xlabel='channel'>"]},"metadata":{},"execution_count":33},{"output_type":"display_data","data":{"text/plain":["<Figure size 1500x1000 with 1 Axes>"],"image/png":"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\n"},"metadata":{}}]},{"cell_type":"code","source":["def plot_by(channel):\n","  df1[df1['channel'] == channel].groupby(['channel', 'preds']).size().unstack(fill_value=0).plot(kind='bar', figsize=(10, 5), rot=0)\n"],"metadata":{"id":"f1fzkD2bwKhF","executionInfo":{"status":"ok","timestamp":1688415457882,"user_tz":420,"elapsed":328,"user":{"displayName":"Rajashekar Chintalapati","userId":"03596288833202137831"}}},"execution_count":34,"outputs":[]},{"cell_type":"code","source":["for channel in df1['channel'].unique():\n","  plot_by(channel)"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":1000},"id":"QtwMWFCMw6Vk","executionInfo":{"status":"ok","timestamp":1688415462869,"user_tz":420,"elapsed":2976,"user":{"displayName":"Rajashekar Chintalapati","userId":"03596288833202137831"}},"outputId":"b98cf3e1-8628-45ed-d768-2a36f5793606"},"execution_count":35,"outputs":[{"output_type":"display_data","data":{"text/plain":["<Figure size 1000x500 with 1 Axes>"],"image/png":"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\n"},"metadata":{}},{"output_type":"display_data","data":{"text/plain":["<Figure 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\n"},"metadata":{}},{"output_type":"display_data","data":{"text/plain":["<Figure 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\n"},"metadata":{}},{"output_type":"display_data","data":{"text/plain":["<Figure 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\n"},"metadata":{}},{"output_type":"display_data","data":{"text/plain":["<Figure 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\n"},"metadata":{}},{"output_type":"display_data","data":{"text/plain":["<Figure 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\n"},"metadata":{}},{"output_type":"display_data","data":{"text/plain":["<Figure 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\n"},"metadata":{}},{"output_type":"display_data","data":{"text/plain":["<Figure 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\n"},"metadata":{}},{"output_type":"display_data","data":{"text/plain":["<Figure 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\n"},"metadata":{}},{"output_type":"display_data","data":{"text/plain":["<Figure 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\n"},"metadata":{}}]},{"cell_type":"code","source":["df1.to_csv(\"/content/drive/MyDrive/Colab/ethnicolor/data/news_mentioned_names_results.csv\", index=False)"],"metadata":{"id":"FEUTRRWw2MPy","executionInfo":{"status":"ok","timestamp":1688415480640,"user_tz":420,"elapsed":4195,"user":{"displayName":"Rajashekar Chintalapati","userId":"03596288833202137831"}}},"execution_count":36,"outputs":[]},{"cell_type":"code","source":["ch_pr = df1.groupby(['channel', 'preds']).size().to_dict()\n","\n","news = {}\n","totals = {}\n","for x in ch_pr:\n","  channel = x[0]\n","  preds = x[1]\n","  if channel not in news:\n","    news[channel] = {}\n","    totals[channel] = 0\n","  news[channel][preds] = ch_pr[x]\n","  totals[channel] += ch_pr[x]"],"metadata":{"id":"cJ3TQpYA7oIa","executionInfo":{"status":"ok","timestamp":1688415480642,"user_tz":420,"elapsed":5,"user":{"displayName":"Rajashekar Chintalapati","userId":"03596288833202137831"}}},"execution_count":37,"outputs":[]},{"cell_type":"code","source":["for channel in news:\n","  print(channel)\n","  for race in news[channel]:\n","    print(f\"{race} - {round(news[channel][race]/totals[channel], 3)}%\")\n","  print()"],"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"CTzdtLo-8ifu","executionInfo":{"status":"ok","timestamp":1688415481010,"user_tz":420,"elapsed":8,"user":{"displayName":"Rajashekar Chintalapati","userId":"03596288833202137831"}},"outputId":"74d462eb-72f1-4bc7-e256-e85f99d49c7b"},"execution_count":38,"outputs":[{"output_type":"stream","name":"stdout","text":["abc\n","asian - 0.07%\n","hispanic - 0.102%\n","nh_black - 0.09%\n","nh_white - 0.735%\n","other - 0.004%\n","\n","cbs\n","asian - 0.072%\n","hispanic - 0.071%\n","nh_black - 0.089%\n","nh_white - 0.764%\n","other - 0.003%\n","\n","cnn\n","asian - 0.087%\n","hispanic - 0.069%\n","nh_black - 0.094%\n","nh_white - 0.745%\n","other - 0.005%\n","\n","lat\n","asian - 0.083%\n","hispanic - 0.126%\n","nh_black - 0.098%\n","nh_white - 0.69%\n","other - 0.002%\n","\n","nbc\n","asian - 0.081%\n","hispanic - 0.091%\n","nh_black - 0.088%\n","nh_white - 0.736%\n","other - 0.004%\n","\n","npr\n","asian - 0.127%\n","hispanic - 0.073%\n","nh_black - 0.085%\n","nh_white - 0.709%\n","other - 0.005%\n","\n","nyt\n","asian - 0.087%\n","hispanic - 0.067%\n","nh_black - 0.085%\n","nh_white - 0.758%\n","other - 0.004%\n","\n","politico\n","asian - 0.049%\n","hispanic - 0.057%\n","nh_black - 0.055%\n","nh_white - 0.837%\n","other - 0.002%\n","\n","propub\n","asian - 0.045%\n","hispanic - 0.064%\n","nh_black - 0.086%\n","nh_white - 0.802%\n","other - 0.003%\n","\n","usat\n","asian - 0.053%\n","hispanic - 0.069%\n","nh_black - 0.107%\n","nh_white - 0.769%\n","other - 0.003%\n","\n","wapo\n","asian - 0.103%\n","hispanic - 0.064%\n","nh_black - 0.106%\n","nh_white - 0.723%\n","other - 0.003%\n","\n"]}]},{"cell_type":"code","source":[],"metadata":{"id":"UxmS6xfUkRi_"},"execution_count":null,"outputs":[]}]}