{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "da78b443-8f9a-426d-8ac1-2320dc10f1d6",
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import numpy as np\n",
    "import os\n",
    "os.environ['CUDA_VISIBLE_DEVICES'] = '0,1,2,3'\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "6ed86222-b6a4-4f3c-8dd6-ae6ac2fd7545",
   "metadata": {},
   "outputs": [],
   "source": [
    "second_round_trials = pd.read_csv('./top_twenty_patients_checked_synthetic_round2.csv')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "98520522-7c39-4136-a772-e5605e7c12ad",
   "metadata": {},
   "outputs": [],
   "source": [
    "first_round_patients = pd.read_csv('./top_ten_cohorts_checked_synthetic.csv')\n",
    "first_round_trials = pd.read_csv('./top_twenty_patients_checked_synthetic.csv')\n",
    "second_round_patients = pd.read_csv('./top_ten_cohorts_checked_synthetic_round2.csv')\n",
    "second_round_trials = pd.read_csv('./top_twenty_patients_checked_synthetic_round2.csv')\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "dc35107e-9e7f-4fc1-b794-c56086c01bfc",
   "metadata": {},
   "outputs": [],
   "source": [
    "\n",
    "patient = pd.concat([first_round_patients, second_round_patients], ignore_index=True, axis=0)\n",
    "patient.info()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "7f676a3e-a69c-411e-942a-e9bcc61200eb",
   "metadata": {},
   "outputs": [],
   "source": [
    "\n",
    "space = pd.concat([first_round_trials, second_round_trials], axis=0, ignore_index=True).rename(columns={'this_patient':'patient_summary', 'space_summary':'this_space'})\n",
    "space.info()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "0573f4be-0949-4467-9569-3a0677b4426f",
   "metadata": {},
   "outputs": [],
   "source": [
    "dataset = pd.concat([patient, space], axis=0, ignore_index=True).groupby(['patient_summary','this_space']).first().reset_index()\n",
    "dataset = dataset[['split','patient_summary','this_space','eligibility_result']]\n",
    "dataset.info()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "8e68ae80-864a-448d-a20d-88deac3d118b",
   "metadata": {
    "scrolled": true
   },
   "outputs": [],
   "source": [
    "dataset.eligibility_result.value_counts()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "ad19f619-a2c6-4695-afb4-3dca238ebb15",
   "metadata": {},
   "outputs": [],
   "source": [
    "dataset['eligibility_result'] = dataset.eligibility_result.astype(int)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "ac98fba8-e6d2-4753-bb41-8974c2be8150",
   "metadata": {
    "scrolled": true
   },
   "outputs": [],
   "source": [
    "from transformers import AutoTokenizer"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "d70c8846-a4aa-48a9-923a-72c7441dfdd5",
   "metadata": {},
   "outputs": [],
   "source": [
    "dataset.info()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "b4dc4a2e-1ed1-429e-8a6e-4e55605980f3",
   "metadata": {},
   "outputs": [],
   "source": [
    "dataset['pt_trial_pair'] = dataset['this_space'] + \"\\nNow here is the patient summary:\" + dataset['patient_summary']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "629c469c-8a08-4a1b-bc08-8582f2b0d83e",
   "metadata": {},
   "outputs": [],
   "source": [
    "dataset=dataset[dataset.split != 'test']\n",
    "dataset = dataset[['pt_trial_pair', 'eligibility_result', 'split']].rename(columns={'pt_trial_pair':'text','eligibility_result':'label'})"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "836103ab-8e4d-40ab-b18e-fec4b285fee1",
   "metadata": {},
   "outputs": [],
   "source": [
    "from datasets import Dataset, DatasetDict"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "6b573d4e-a147-4e94-b540-13f820762708",
   "metadata": {},
   "outputs": [],
   "source": [
    "train_ds = Dataset.from_pandas(dataset[dataset.split=='train'])\n",
    "valid_ds = Dataset.from_pandas(dataset[dataset.split.str.contains('valid')])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "42017e33-47b1-4bdd-82fe-9d74e4a8007f",
   "metadata": {},
   "outputs": [],
   "source": [
    "data_dict = DatasetDict({\"train\":train_ds, \"valid\":valid_ds})"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "219351fb-8022-43c1-a607-d65a540edf59",
   "metadata": {},
   "outputs": [],
   "source": [
    "data_dict"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "acea6301-41e2-4366-b5e5-2e4f3d32a123",
   "metadata": {},
   "outputs": [],
   "source": [
    "data_dict['train'][0]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "42ff019f-e99d-4e2b-b773-658e5d4e7887",
   "metadata": {},
   "outputs": [],
   "source": [
    "tokenizer = AutoTokenizer.from_pretrained(\"roberta-large\")\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "3bdb10d6-7ee3-4817-9fe4-0218dec09f9e",
   "metadata": {},
   "outputs": [],
   "source": [
    "def preprocess_function(examples):\n",
    "    return tokenizer(examples[\"text\"], truncation=True, max_length=512)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "55a20161-8ad8-4131-afe2-b0a0a6f4cf64",
   "metadata": {},
   "outputs": [],
   "source": [
    "tokenized_data = data_dict.map(preprocess_function, batched=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "702eeb07-2aa8-4a54-947c-4b5c69c009d2",
   "metadata": {},
   "outputs": [],
   "source": [
    "from transformers import DataCollatorWithPadding"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "ae972532-13b8-43fb-8120-52df0c056e2a",
   "metadata": {},
   "outputs": [],
   "source": [
    "data_collator = DataCollatorWithPadding(tokenizer=tokenizer)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "29d4b4c8-32fa-40e7-85b3-0653e19295cb",
   "metadata": {},
   "outputs": [],
   "source": [
    "def compute_metrics(eval_pred):\n",
    "    predictions, labels = eval_pred\n",
    "    #predictions = np.argmax(predictions, axis=1)\n",
    "    return auroc.compute(predictions=predictions, references=labels)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "e85bba49-e392-45dc-8f64-025cf4eb0a13",
   "metadata": {},
   "outputs": [],
   "source": [
    "id2label = {0: \"NEGATIVE\", 1: \"POSITIVE\"}\n",
    "label2id = {\"NEGATIVE\": 0, \"POSITIVE\": 1}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "d42afa06-e5d7-409b-b8be-0a30a046519a",
   "metadata": {},
   "outputs": [],
   "source": [
    "from transformers import AutoModelForSequenceClassification, TrainingArguments, Trainer"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "22d21854-136b-4d3f-bc64-a97c58c46a8f",
   "metadata": {
    "scrolled": true
   },
   "outputs": [],
   "source": [
    "model = AutoModelForSequenceClassification.from_pretrained(\n",
    "    \"roberta-large\", num_labels=2, id2label=id2label, label2id=label2id\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "8e5a0d75-3b24-4a49-a48d-1f9aea2666c1",
   "metadata": {},
   "outputs": [],
   "source": [
    "training_args = TrainingArguments(\n",
    "    output_dir=\"roberta_checker_training\",\n",
    "    learning_rate=2e-5,\n",
    "    per_device_train_batch_size=16,\n",
    "    per_device_eval_batch_size=16,\n",
    "    num_train_epochs=3,\n",
    "    weight_decay=0.01,\n",
    "    #evaluation_strategy=\"epoch\",\n",
    "    save_strategy=\"epoch\",\n",
    "    #load_best_model_at_end=True,\n",
    "    push_to_hub=False,\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "4baaa68f-8307-4436-b4f1-6834a08d782f",
   "metadata": {},
   "outputs": [],
   "source": [
    "trainer = Trainer(\n",
    "    model=model,\n",
    "    args=training_args,\n",
    "    train_dataset=tokenized_data[\"train\"],\n",
    "    #eval_dataset=tokenized_data[\"valid\"],\n",
    "    tokenizer=tokenizer,\n",
    "    data_collator=data_collator\n",
    "    #compute_metrics=compute_metrics,\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "818c6c98-b301-4af6-b712-b1639361a5a3",
   "metadata": {
    "scrolled": true
   },
   "outputs": [],
   "source": [
    "trainer.train()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "ab5365c1-fd2e-4849-8449-ea9e986badc0",
   "metadata": {},
   "outputs": [],
   "source": [
    "predictions = trainer.predict(tokenized_data['valid'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "bb6428fc-ba3b-4d9b-8f92-75bf71810765",
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.metrics import roc_auc_score"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "291dedfe-b07a-485b-aa5e-6dde301b5c27",
   "metadata": {},
   "outputs": [],
   "source": [
    "roc_auc_score(predictions[1], predictions[0][:,1])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "aa1cf653-7941-4828-a786-10e2d8084533",
   "metadata": {},
   "outputs": [],
   "source": [
    "#model.save_pretrained('roberta-checker')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "67cd1b42-2e77-41a7-a99a-a1944bbc560c",
   "metadata": {},
   "outputs": [],
   "source": [
    "trainer.save_model('roberta-checker')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "fdaa0a50-ccef-41ae-8ee7-c0e4f505106d",
   "metadata": {},
   "outputs": [],
   "source": [
    "# eval just on round 1 generated data\n",
    "import pandas as pd\n",
    "import numpy as np\n",
    "from transformers import AutoModelForSequenceClassification, Trainer\n",
    "round2_patient = pd.read_csv('top_ten_cohorts_checked_round2.csv')\n",
    "round2_space = pd.read_csv('top_twenty_patients_checked_round2.csv').rename(columns={'this_patient':'patient_summary', 'space_summary':'this_space'})\n",
    "\n",
    "dataset = pd.concat([round2_space, round2_patient], axis=0, ignore_index=True)\n",
    "\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "2eca7873-0a04-4fe9-aa1f-ae517f85e7e0",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "9fe816b0-1dec-4334-acfb-6a351d9bbf0a",
   "metadata": {},
   "outputs": [],
   "source": [
    "dataset['eligibility_result'] = dataset.eligibility_result.astype(int)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "09f44e03-6bc0-4fa2-b79c-08e75c7c1cf6",
   "metadata": {
    "scrolled": true
   },
   "outputs": [],
   "source": [
    "from transformers import AutoTokenizer"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "b4613347-006f-4124-9bf8-a8dc8ed092d7",
   "metadata": {},
   "outputs": [],
   "source": [
    "dataset.info()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "93d41e82-5229-418a-aa26-126d76da0d89",
   "metadata": {},
   "outputs": [],
   "source": [
    "dataset['pt_trial_pair'] = dataset['this_space'] + \"\\nNow here is the patient summary:\" + dataset['patient_summary']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "1992ebe2-aa96-4bfd-bf75-d3c6b755e0a8",
   "metadata": {},
   "outputs": [],
   "source": [
    "dataset.split.value_counts()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "66fe63c6-85a1-4c86-aacc-adf50a19b8b8",
   "metadata": {},
   "outputs": [],
   "source": [
    "dataset=dataset[dataset.split.str.contains('valid')]\n",
    "dataset = dataset[['pt_trial_pair', 'eligibility_result', 'split']].rename(columns={'pt_trial_pair':'text','eligibility_result':'label'})"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "c1e84f4d-1ea3-48a4-88e3-0e28e216de42",
   "metadata": {},
   "outputs": [],
   "source": [
    "from datasets import Dataset, DatasetDict"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "89b57b64-90c6-4856-8c53-9cb20b6d3382",
   "metadata": {},
   "outputs": [],
   "source": [
    "#train_ds = Dataset.from_pandas(dataset[dataset.split=='train'])\n",
    "valid_ds = Dataset.from_pandas(dataset[dataset.split.str.contains('valid')])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "e6c5f8ae-1fa1-4f4b-ab60-10c16194a3e9",
   "metadata": {},
   "outputs": [],
   "source": [
    "data_dict = DatasetDict({\"valid\":valid_ds})"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "3e1d0550-af38-45c5-a465-dafe8725b2ef",
   "metadata": {},
   "outputs": [],
   "source": [
    "data_dict"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "6eedbae7-7a3e-4a1f-bdf6-dab2878a438a",
   "metadata": {},
   "outputs": [],
   "source": [
    "tokenizer = AutoTokenizer.from_pretrained('roberta-large')\n",
    "def preprocess_function(examples):\n",
    "    return tokenizer(examples[\"text\"], truncation=True, max_length=512)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "1e453e07-ddf3-47d4-b594-f08b7266531e",
   "metadata": {},
   "outputs": [],
   "source": [
    "tokenized_data = data_dict.map(preprocess_function, batched=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "15e0b3c9-8ead-4d35-8396-903396d55361",
   "metadata": {},
   "outputs": [],
   "source": [
    "model = AutoModelForSequenceClassification.from_pretrained('roberta-checker')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "f83d55e8-4876-4048-8aa9-8aaf766b6722",
   "metadata": {},
   "outputs": [],
   "source": [
    "from transformers import pipeline\n",
    "pipe = pipeline('text-classification', './roberta-checker', tokenizer=tokenizer, truncation=True, padding='max_length', max_length=512, device='cuda') \n",
    "predictions = pipe(dataset[dataset.split.str.contains('valid')].text.tolist())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "7c6f117d-a8c9-4f94-b7e5-c0693b23b979",
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.metrics import roc_auc_score"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "3e18fed5-7cb6-4c0f-9e21-4b997bafaa38",
   "metadata": {},
   "outputs": [],
   "source": [
    "predictions_frame = pd.DataFrame(predictions)\n",
    "predictions_frame['score'] = np.where(predictions_frame.label=='NEGATIVE', 1 - predictions_frame.score, predictions_frame.score)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "id": "78d47129-199b-4d12-8ba5-94f964264585",
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.8975794567785704"
      ]
     },
     "execution_count": 51,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# checker results on round 1 generated data ('round 2 data')\n",
    "roc_auc_score(dataset.label, predictions_frame.score)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "id": "f2dd4074-fc8c-489b-8328-d899da8108a2",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "AUC 0.8975794567785704\n",
      "Outcome probability: 0.7107222222222223\n",
      "Average precision score: 0.95\n",
      "Best F1: 0.9020847444870926\n"
     ]
    },
    {
     "data": {
      "image/png": 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JE1SrVg1Tp07VJEIZfTz13+q7/teJ3sQ2QpQrNGzYEDVr1sS8efMQFxcHNzc3NGzYED///DMeP36c6vinT59q1tu3b48LFy5g69atqY5T/zrv2LEjHj58iCVLlqQ6JjY2VtP7KT3lypVDpUqVsH79eqxfvx4eHh46SYmFhQXat2+PzZs3p/lBnTJefdWuXRt+fn5Yvnw5duzYker+cePG4ebNm/jyyy9T/VL//fffddr4nDp1Cv/884/mS0if1/ltLCwsUpXQ/PDDD0hOTtbZpx5z6M0E6X1Ur14dBQoUwJIlS5CUlKTZv3r1ak312dt4eXmhb9+++PPPP/HDDz+kul+lUmH27Nl48OCBXnGpS4zerCZcvnx5ll+jadOmcHBwwPTp0xEXF6dzX8pz8+bNm2ZV5fv+f6QlOTk51WO5ubmhUKFCiI+Pf2dMb3J1dUX9+vWxbNky3Lt3T+e+N//2rl+/nuoYMl0sEaJcY9SoUejQoQNWrFiBAQMGYOHChahbty4qVaqEvn37onjx4ggPD8fJkyfx4MEDXLhwQXPepk2b0KFDB/Tq1Qs+Pj54/vw5tm/fjkWLFqFy5cro1q0bNmzYgAEDBuDQoUOoU6cOkpOTcf36dWzYsAF79+7VVNWlJyAgABMnToSNjQ169+6davDDb7/9FocOHUKtWrXQt29flC9fHs+fP0dwcDD279+P58+fZ/q1WbVqFZo0aYLWrVujS5cuqFevHuLj47FlyxYcPnwYAQEBGDVqVKrzSpYsibp162LgwIGIj4/HvHnzUKBAAXz55ZeaYzL6Or9Ny5Yt8euvv8LJyQnly5fHyZMnsX//fhQoUEDnuCpVqsDCwgIzZsxAVFQUrK2t0bhxY7i5uWX6tbGyssKkSZMwdOhQNG7cGB07dkRoaChWrFiBEiVKZKjEYfbs2bhz5w6GDRuGLVu2oGXLlsiXLx/u3buHjRs34vr16zolgBnRtGlTWFlZoVWrVujfvz9evXqFJUuWwM3NLc2k832u4ejoiLlz56JPnz6oUaMGunTpgnz58uHChQt4/fo1Vq5cCQDw8fHB+vXrMWLECNSoUQP29vZo1apVlvx/vOnly5coXLgwPv30U1SuXBn29vbYv38/Tp8+rVNymF5Mafn+++9Rt25dVKtWDf369UOxYsUQGhqKnTt34vz585rj2H2edCjRVY0oPekNqCiEEMnJyaJEiRKiRIkSmu7Zd+7cEd27dxfu7u7C0tJSeHp6ipYtW4pNmzbpnPvs2TMxZMgQ4enpqRkMLjAwUKcre0JCgpgxY4aoUKGCsLa2Fvny5RM+Pj5i8uTJIioqSnPcm93n1W7duqUZ9O3YsWNpPr/w8HAxePBg4eXlJSwtLYW7u7to0qSJWLx4seYYdbfwjRs36vXavXz5UkyaNElUqFBB2NraCgcHB1GnTh2xYsWKVN2HUw6oOHv2bOHl5SWsra1FvXr1xIULF1JdOyOv89veuxcvXoiePXsKFxcXYW9vL/z9/cX169fTfC2XLFkiihcvLiwsLDI0oOKbr1N6A+19//33omjRosLa2lrUrFlTHD9+XPj4+IhmzZpl4NUVIikpSfzyyy+iXr16wsnJSVhaWoqiRYuKnj176nStV3efTzlYZ8rXJ+Ugktu3bxcffPCBsLGxEd7e3mLGjBli2bJlqY5TD6iYloxeQ31s7dq1ha2trXB0dBQ1a9YUa9eu1dz/6tUr0aVLF+Hs7JxqQMWM/n/gvwEV04IU3efj4+PFqFGjROXKlYWDg4PImzevqFy5cqrBINOLKb33+fLly6Jt27bC2dlZ2NjYiDJlyogJEyakioPd50nNTIhcMhsjEWWZ0NBQFCtWDLNmzcLIkSOVDkcRKpUKrq6uaNeuXZpVPkRkGthGiIiMXlxcXKp2IqtWrcLz58/RsGFDZYIiIoPANkJEZPT+/vtvDB8+HB06dECBAgUQHByMpUuXomLFiujQoYPS4RGRgpgIEZHR8/b2hpeXF77//ns8f/4c+fPnR/fu3fHtt98qOqs9ESlP0TZCR44cwaxZs3D27Fk8fvwYW7duRZs2bd56zuHDhzFixAhcuXIFXl5eGD9+PHr06JEj8RIREZFxUbSNUExMDCpXroyFCxdm6PiQkBC0aNECjRo1wvnz5/HFF1+gT58+2Lt3bzZHSkRERMbIYHqNmZmZvbNE6KuvvsLOnTt1BqTr1KkTIiMjsWfPnhyIkoiIiIxJrmojdPLkyVTD/Pv7++OLL75I95z4+HidUUpVKhWeP3+OAgUKZMtw/kRERJT1hBB4+fIlChUqlGrA2veRqxKhsLAwFCxYUGefel6n2NjYNCf6mz59OiZPnpxTIRIREVE2un//PgoXLpxl18tViVBmjBkzBiNGjNBsR0VFoUiRIrh//z4cHR0VjIyIyLSpVMCrV0BkJPD6tVx/8QKIjwcSEoCQEMDWFoiNlcdERwPBwYCnJ3DqFFCoECCEPPbpU3mugwMQFwckJir97DLP3Fy+NnnzAnnyyO08eeTNwgJ48ABwdQVcXOS2hYX2OAsLwNISsLbWnvfmMdHRctvLSx4XFgYULw5YWWmPtbDQXk99rqWldp/6uuplcrK838ZGPgczs/Rvam+7X73ueHgbYnw/AuzsEBMTjSZNvODg4JClr3euSoTc3d0RHh6usy88PByOjo5plgYBgLW1NaytrVPtd3R0ZCJERKQHIWSS8vIlEBUlk5NHj+SX4M2bgJ0dcPeuTELMzYEbN+TSxkbuS0iQt+ho4MkTIMV8v3q5eFEunz1Lfd/Ll6n3qb/UExMBDw/5hW9lJb+48+WTyUBEBJA/vzY5CAkBqlaVx6iTADMz+ZyLFZPbVlbyvlev5HUtLbW35GTA2Vl3n4UFYG+fdqKh3s7CGp/cLSYGGDwYWLkS6NMHWLIE0dHyrqxu1pKrEiFfX1/s2rVLZ9++ffvg6+urUERERIZNpQLCw+UXfUyMLE1QqYA7d7Rf4s+eycQmOBgoWhT4+2+gYEF53M2bspQlKUmWzGQHdYlC0aKAo6NMFqyttYmGiwvg5CQTFVtbGXOZMjIpUycuVlYyiXBykiUpNjbyZmsrr0G5yOXLQMeOwLVr8k0tUkRm4dlE0T+PV69e4fbt25rtkJAQnD9/Hvnz50eRIkUwZswYPHz4EKtWrQIADBgwAAsWLMCXX36JXr164eDBg9iwYQN27typ1FMgIspSKpUs1XjyRC5jY2W10cuXsjTi3j35Bf/iBXDunPyiT06WSc6LF7JaSF3ykpAgkxyVKuOPf/WqXL54od2XVimLnZ0sTXF0lKUndevK2OrUkYmKunTl9Wu5ni+ftiTG3l6Wlnh6yioeW1vdKhMyUUIAy5YBQ4fKP3wPD2DNGiCbp8FRNBE6c+YMGjVqpNlWt+UJDAzEihUr8PjxY9y7d09zf7FixbBz504MHz4c8+fPR+HChfHLL7/A398/x2MnIsoIIWQCc/u2rAoKDQWeP5dLCwvg8WPg0CH5ozciQh6bHfLlk8lN6dLysRs3liVFlSrJhMTJSSZYsbGyvUhCgozJ1lYmL05OsuTFzk5bvUOUZV69AgYMAFavlttNmwK//gq4uWX7QxvMOEI5JTo6Gk5OToiKimIbISLKlKQkmbA8fy6Tm7Aw4Px5mSgcPCirbO7cAQoUkIlOTEzmH8vLS5aeODjIBASQbWxq1pTXj42VCYuzs0xSnJ21VUVWVjIBcnOTbVSIDNaDB0CVKvIf65tvgC+/TNVgKru+v1lzSkT0n+homdicOSM/jy9ckMlHeDhw/LhMMqKigPv3M9ZkIWX1krW1vFlaAt7esiTGzk42yHV1lfcVLizbwzg6yvuITEbhwsDatbIIsm7dHH1oJkJEZPQSE2XJTESELL158gT45x/ZniY0VCY61669+zr37+tu29vLZgyFCmlLbTw85HUrVJCNf0uUkFVPTGyIUoiOBvr1Azp1AtQzSnz0kSKhMBEiolwtJkZWQz16JBOdx49l7ycHB2DzZtnu5dEj/a5pZgZUry5LaiwtZQNgV1e5v1Qp2YbGxYW9kYgy5exZICBA/uMeOiTbAyn4S4H/xkRksJKSZOnNvXuyBCckRDYlePJEluy8eCGTH31UrChLbdQlN6VLy9IcX19ZiuPklC1PhYiEABYsAEaOlK3xixYF1q1TvLiUiRARKSY+Xvam2rlTNvo9dkz2RgoL05buZKTrt5OTrH5yd5clN66uso1P48ayBMfbWyY+7OlEpJDISKB3b2DLFrndpo3sKp8vn5JRAWAiREQ5QKUCbt2S0yIsWyarlG7dAv79993nWljIxKZ0adme0tVV9pgqWFBWT7m7y3UiMlCRkbJXQGiorGv+7js5VpCBDB7FRIiIssy1a8DRo7LK6uFD4ORJ2QPrXZydAT8/oHx5WXr+wQeyS7inpyzJ4bQDRLmYszPQvDmwdy+wfr1sgGdAmAgRkd5UKlmlFRwsP9eeP5ftd97sVZWWBg1kCU779kCNGrLaykB+GBJRVnn2TDbyUxfXzpkj68INsBEeEyEieqvERFnSc+6crNa6c0d+xsXFpX9OmTJAixay2qp8eW1PK/ayIjIBJ07IbvElSwL79sn6bfXkbwaIH0tEBEDOJ3X7NrB1q+xufvSonMPqzp30z6lSRQ4M6O4OtGwpq7ScnXMqYiIyKCoVMGsWMG6c/PCwtpY9HgoXVjqyt2IiRGRihJAzim/cCFy5Iquzbt+Wgwq+TZkysr1jYiLwv//Jan5O20BEAICnT4HAQGD3brnduTPw889yQC8Dx0SIyIgJIcfcOXhQjlu2apX8kRYdnfbxDg6yKsvOTo6r4+Ule2hVqsSkh4jScfSorAp79EhWf33/PdCnT65p/MdEiMhICCEHbF24UM6Rdf++7LWalKR7XHy8nIzTw0MOINi0qUx2KlbMFT/eiMiQJCcDgwbJJKhsWWDDBvnLKRdhIkSUS92+DRw5IucpPHtWlvIkJ6d/fOvWQLlyQJMmQL16smSIiOi9WFjID6H584G5c+UEfLkMEyGiXEAI2VPr9Glgxw5ZDR8Skv7xXbrIyT5bt5YlPUx6iCjLHDwoR0Tt319uV6wILFmibEzvgYkQkQG6dw/48085v9b5828flHDIEG01V6NGgKNjjoVJRKYkORn4+mtgyhRZEuTjY3CDI2YGEyEiA/H0KbBokazm2rYt7WO8vGSXdW9vYNIkIH/+HAyQiEzXo0dA167A4cNyu0cP2bPCCDARIlLQkyeyJ9fs2bLqKzFRe5+rK9CzJ1CrlqzmKlkSyJtXuViJyETt3Qt06yZ/rdnby27xXbooHVWWYSJElIOSkoBdu2Ty8/ffcj6ulMqVA/z95fQTvr6cLZ2IFDZpEjB5slyvXFn2CitdWtGQshoTIaJsduMG8NtvwPHjciyfN5UsKRs1d+smR2bOJUNvEJEpUA8VP2CA7BVmoNNkvA8mQkRZLDkZ+PFH4Kef5Bxdb3JwkG18bG3laPT16+d4iERE6YuJ0dbDf/65HFK+QQNlY8pGTISIssjDh7JDxYYNciDDlNzc5LQUTZrI3l1G+KOKiHK7xERg7Fhg+3bZVdXBQRZRG3ESBDARInovCQnAqFFyhPlz53Tvq1sXGDECaNgQyJdPkfCIiDLm33/lNBl//y23f/9d1tebACZCRHoSAjhxApg+Xbb7SVn6U6aMHGV+2TJ2bSeiXGLbNtkdPjIScHKSH2Dt2ikdVY5hIkSUQQ8eAHPmyPaCbxo6VJb+eHvneFhERJmTkAB8+aWcHgOQkw6uWwcUK6ZsXDmMiRDROwghR2/+8Ufd/a1aAb16ySW7uRNRrvPVV9ok6H//A6ZNkzMymxgmQkTpiIqS44atWgVcuaLdP2mSLEUuWlSpyIiIssDo0cC+fbKev1UrpaNRDBMhohRUKtlGcPt2YOVK3fv69we+/94kfzARkTGIiwO2bgU6d5bbBQsCFy8C5ubKxqUwJkJE/zl0CGjcWHdf/vyyWqx/f6BQIWXiIiJ6b7duAR07ylmcAW0yZOJJEMBEiAiLFwMTJsh5v9RatQL69gWaNgWsrZWLjYjova1dC/TrB7x6Bbi4sEvrG5gIkUlKSgL69AF279ZNgNq3B2bOBIoXVy42IqIsERsrR4ZeskRu168PrFkDeHoqG5eBYSJEJiMpSQ58OGGCrBZ/+VJ7X/nywK+/AtWqKRcfEVGWuX5dVoVduiRHhx43DggKAvLwa/9NfEXI6L1+DXz7rRwDKCZG974WLYDlywFXV2ViIyLKFnfuyCTIzQ1YvRrw81M6IoPFRIiM2p9/Av7+uvtatJCzvI8eDTg6KhMXEVG2atFCVom1aAF4eCgdjUFjc3EyOkIAP/wAlCunmwTNmwfExwM7dshxw5gEEZHRuHIFqFdPzhmm1qcPk6AMYIkQGZWwMDnZ6Z072n1mZrLnaIkSysVFRJQthJD1+0OGyMbRX3whxwqiDGOJEBkFlQqYMUP29lInQe3bA/fuyfuYBBGR0Xn1Ss4Q37u3TIKaNpXD4ZNeWCJEud7mzUBAAJCcLLc9PeW0GG8OjkhEZDQuXJC9wm7elJMdTpki5w7jAIl6YyJEuZIQcq7AWbOAR4+0+7t2lSVDHCaDiIzW0aPARx/JRo+ennLG+Lp1lY4q12IiRLnOqlVAYKDuvho1gN9+A0qXViYmIqIcU6MGULasTIJWrpSjRVOmMRGiXKVyZTkYolqvXrJjhK+vcjEREWW7a9fkLz0LC8DGBti/X06Vwaqw98ZXkAxeUpLsFGFjo02CihWTA6cuXcokiIiMmBDAggVAlSrA1Kna/S4uTIKyCEuEyKBdvSrbA165ot1Xty5w8CBgaalcXERE2S4yUvYI27JFbl+4ILvBMgHKUnw1ySCpVEDr1kDVqtok6LPPZOnw0aNMgojIyJ06JT8At2yRH3jz5gGbNjEJygYsESKDo1LJavCU/v4bqFVLmXiIiHKMEDLp+eorIDFRtgNYv142kKZswdSSDMqFC7pJUIkScnwgJkFEZBJCQoCxY2US1L49EBzMJCibMREig7Frl2wPqDZsGHD7NkuCiciEFC8OLFwoG0hv3Ag4OysdkdFj1RgpTgjZDX7FCu2+I0fk/IFEREZNpQJmz5YfeB9+KPf16qVsTCaGiRApJikJWLsW6N5dd/+DBxwZmohMwNOncnTY3buBokWBy5cBe3ulozI5TIRIMW/2/BowQE6bYWWlTDxERDnmyBGgc2c5R5CNDTBuHJA3r9JRmSS2viBFjB2rXf/kE+DuXeCnn5gEEZGRU6nkwIiNGskkqEwZ4J9/gL59ATMzpaMzSSwRohwlhEx8duyQ22PGANOmKRsTEVGOePUKaNcO2LdPbnfrBvz4I6vDFMZEiHJMcDDg46Pd7ttXd8R4IiKjljcvYGsrbz/+CPTooXREBCZClEPenDG+UyfZQ5QlwURk1JKTgYQEmfyYmcmJE8PCgPLllY6M/sM2QpTt/vc/3STo6FHZW4zTZBCRUXv8GPDzk8XfQsh9+fMzCTIwLBGibDV4sCwBVrt3D/DyUi4eIqIc8eefcoLEp09lldjdu3KofDI4LBGibNO2rTYJKlgQiIhgEkRERi4pSXaFb9ZMJkEffACcOcMkyIAxEaJs0bs38Pvvcr1RI1lCXKCAoiEREWWvBw+Axo1lV1ghgP795YzRZcsqHRm9BavGKEupVIC7u/whBMjJUg8eVDYmIqJsp1IBzZvL0aEdHIAlS4CAAKWjogxgiRBlmeRkoEIFbRLUti1w/LiyMRER5Qhzc2DePKB6dTlWCJOgXIOJEGWJyEggTx7g+nW5PXs2sGULYGGhaFhERNnn3j3ZKFqtSRM5SnTJksrFRHpjIkTvbcwYIF8+7faECcCIEcrFQ0SU7bZvB6pUAT79FLh9W7vfnF+ruQ3bCNF7sbMDYmO12xs2AB06KBcPEVG2SkgAvvpKVoMBQI0asjicci3FU9eFCxfC29sbNjY2qFWrFk6dOvXW4+fNm4cyZcrA1tYWXl5eGD58OOLi4nIoWkqpbVttEmRuLofJYBJEREYrJASoW1ebBA0fDhw7Bnh7KxkVvSdFE6H169djxIgRCAoKQnBwMCpXrgx/f388efIkzePXrFmD0aNHIygoCNeuXcPSpUuxfv16jE05lTnliJEjtd3jq1SRDaWLFVMyIiKibLR5M1C1KnD6tGwLsG0bMGcOYGWldGT0nhRNhObMmYO+ffuiZ8+eKF++PBYtWgQ7OzssW7YszeNPnDiBOnXqoEuXLvD29kbTpk3RuXPnd5YiUdby95eNodXrZ88qGw8RUbY7cQKIigJ8fYHz54FPPlE6IsoiiiVCCQkJOHv2LPz8/LTBmJvDz88PJ0+eTPOc2rVr4+zZs5rE5+7du9i1axc+/vjjdB8nPj4e0dHROjfKvN9/13aSqF8f2L2bbQOJyEip5wcDgOnTgfnzgb/+AooUUS4mynKKfYVFREQgOTkZBQsW1NlfsGBBhIWFpXlOly5d8PXXX6Nu3bqwtLREiRIl0LBhw7dWjU2fPh1OTk6amxfneMi0w4dluyC1gwc5ezwRGal164CPPwYSE+W2lRUwbBhnizZCueq3/OHDhzFt2jT8+OOPCA4OxpYtW7Bz505MmTIl3XPGjBmDqKgoze3+/fs5GLFxadRIu/7wIccIIiIjFBsrp8bo3BnYs0eOEE1GTbE+fy4uLrCwsEB4eLjO/vDwcLi7u6d5zoQJE9CtWzf06dMHAFCpUiXExMSgX79+GDduHMzTqKOxtraGtbV11j8BE5KcLDtKqP36K1CokHLxEBFlixs3gI4dgYsXZXH32LFAv35KR0XZTLESISsrK/j4+ODAgQOafSqVCgcOHICvr2+a57x+/TpVsmPxX7GESFmXS1kqf345byAATJwIfPaZsvEQEWW5334DfHxkEuTmBuzdC3zzDccIMgGKvsMjRoxAYGAgqlevjpo1a2LevHmIiYlBz549AQDdu3eHp6cnpk+fDgBo1aoV5syZg6pVq6JWrVq4ffs2JkyYgFatWmkSIspapUoB6vbl/fsDkycrGw8RUZabOhUYP16uN2oErF4NeHgoGxPlGEUToYCAADx9+hQTJ05EWFgYqlSpgj179mgaUN+7d0+nBGj8+PEwMzPD+PHj8fDhQ7i6uqJVq1aYOnWqUk/BqH32mXbk+Dp1gJ9+UjYeIqJs8emnwMyZcm6g8ePZANLEmAkTq1OKjo6Gk5MToqKi4OjoqHQ4Buvrr4GgILnesCF7iBGRERFCVoFVrqzd9+wZUKCAcjHRO2XX93eu6jVGOSM5WZsEOToCBw4wCSIiI/HqFdC9O1CtmhwTSI1JkMliIkSpdOumXT9xggMmEpGRuHgRqF5dNowGgMuXlY2HDAK/4kjH48fA2rVyvVUroEIFZeMhInpvQgCLFwM1a8ou8p6ecoTYwYOVjowMAPsFkkZSku4kygsXKhYKEVHWiI6WXV7XrZPbzZsDq1YBLi7KxkUGgyVCpGFpCSQkyGEz9u0DOBsJEeV627bJJMjCQvYM27GDSRDpYIkQAQDGjNGujx4NpJgLl4go9/rsM+DcOaBDBzlzPNEb2H2eEBMD2NvL9ZIlgVu3lI2HiCjTIiPlWEBTpgD58ikdDWWh7Pr+ZomQiYuM1P2s2LhRsVCIiN7P6dNAQAAQEgJERGjbBRG9BdsImbCICKB0ae32L78AVaooFg4RUeYIAcybJ4fADwkBihUD/vc/paOiXIIlQiYqPh5wd5eDJwLAqVNAjRrKxkREpLfnz4GePYHt2+V2+/byV52zs6JhUe7BRMhEDRmiTYK2bGESRES50KVLQMuWwL17gJUVMGcOMGgQh8InvTARMkEqlfzBBADNmgFt2yobDxFRphQqJKvFSpQANmyQ02YQ6YmJkAnq1Em7vmCBcnEQEent5UvZzdXMTM4Ptnu3HPSMvYApk9hY2sTExGh7hnXoIH9IERHlCkePAuXKAStWaPdVqMAkiN4LEyET4+Agl5aWwMqVysZCRJQhKhUwbRrQqBHw8CHwww/aRo5E74mJkAkpXlxWpwPAsmWAra2y8RARvdOTJ7Ix47hxMvn57DPgyBE5ZQZRFmAbIROxZo0cXgMAunSRnyVERAbt0CH5gRUWJn+5LVggu8qzVxhlISZCJuDWLaBrV+32r78qFwsRUYb8+y/QtCmQlASULy97hVWooHRUZISYCJmAgADt+r//AuasECUiQ1e0qJwN+sED2SYob16lIyIjxUTIyG3bJideBuRYY0WKKBsPEVG69u8HvL3l7M8AMHkyq8Eo27FswMi1aSOXlSsDQ4cqGgoRUdqSkuSM8U2byiLs+Hi5n0kQ5QCWCBmxOnW06yNGAHn4bhORoXn4EOjcWY4RBMj5ftTdW4lyAL8ajdSpU8CJE3I9b16ge3dl4yEiSmX3bvnhFBEhBzlbvFh36HuiHMCqMSP1zTfa9dBQxcIgIkotMRH46ivg449lElS1KnD2LJMgUgQTISMUGQn88Ydc/+ILwMVFyWiIiN4ghBwjCAAGD5bF16VKKRsTmSxWjRmhKVO065MmKRYGEZEuIWQDaCsrYP16IDgYaN9e6ajIxDERMjLh4bKbPAAMGwY4OSkbDxEREhKA0aMBGxs5ZxgAFCsmb0QKYyJkZDp3lktbW5YGEZEBCAmRbX9OnZKlQd27A2XLKh0VkQbbCBmR3bu11e4DBgD58ikbDxGZuC1bZEPoU6cAZ2dg61YmQWRwmAgZiYQE2QEDAMqUAb77Ttl4iMiExcfLEVzbtweiooAPPwTOnwdat1Y6MqJUWDVmJNav164vX875xIhIIULIEaKPHJHbX34px/OwtFQ2LqJ0MBEyAsnJwPDhct3HB/D1VTYeIjJhZmZAnz7AlSvAqlXaomoiA8VyAyNw9izw7Jlc375d2ViIyATFxgLXrmm3u3UDbt5kEkS5AhMhI1Crlna9UCHl4iAiE3TjhmwD5OcHPH2q3Z8/v3IxEemBiVAuN2OGdl1dPUZElCN++03Wx1+8KKfNCAlROiIivTERysXi4uQYZQBQsaJ2IEUiomz1+jXQu7esAouJARo2lL3CatZUOjIivTERysU+/VS7vmWLcnEQkQm5elUmPMuWyYbRQUHA/v2sl6dci73Gcqk1a4CdO+V6uXKcr5CIcsiMGbJHmLs7sHo10Lix0hERvRcmQrmQEMDYsdrtY8eUi4WITMz33wN58sg5wwoWVDoaovfGqrFc6LffgH//letnzrBzBhFlo0uXgFGj5C8wQM7kvHQpkyAyGiwRyoW6d5fL1q1lhw0ioiwnBPDLL8CwYbJnRpkycqBEIiPDRCiXmTlTuz5xonJxEJERi44G+vcH1q2T282bc54wMlqsGstFXr0CvvpKrjduDFSrpmw8RGSEzp2TRc3r1gEWFrJx9I4dgKur0pERZYv3KhGKi4uDjY1NVsVC76CuEgPkFD5ERFnq119l9VdCAuDlJZOh2rWVjoooW+ldIqRSqTBlyhR4enrC3t4ed+/eBQBMmDABS5cuzfIASRIC2LpVrvfsCXh6KhsPERmhYsXkLM6tWskBEpkEkQnQOxH65ptvsGLFCsycORNWVlaa/RUrVsQvv/ySpcGRVv362vUvv1QuDiIyMlFR2vW6dYGTJ4Ft29gdlUyG3onQqlWrsHjxYnTt2hUWFhaa/ZUrV8b169ezNDiSnj/XjhVUrRpQtqyy8RCRERACmD8f8PaWo0Wr1aghR4wmMhF6J0IPHz5EyZIlU+1XqVRITEzMkqBI17x52vVTpxQLg4iMxfPnQNu2wBdfAJGRwIoVCgdEpBy9E6Hy5cvj6NGjqfZv2rQJVatWzZKgSNeUKXI5ZIjsxEFElGl//w1UrSqrv6ysgB9+kD3DiEyU3r3GJk6ciMDAQDx8+BAqlQpbtmzBjRs3sGrVKuzYsSM7YjRply9r19Vd54mI9KZSAXPmAGPGAElJQIkSwPr1HJWVTJ7eJUKtW7fGH3/8gf379yNv3ryYOHEirl27hj/++AMfffRRdsRo0oYOlcuSJYHChZWNhYhysd9+k1NlJCUBHTsCZ88yCSICYCaEegIZ0xAdHQ0nJydERUXB0dFR6XDe6skT7XQ+ixbJgV6JiDIlKQlo0UK2Derfnw2iKdfJru9vvUuEihcvjmfPnqXaHxkZieLFi2dJUCSlnGG+c2fl4iCiXEilknOFxcfL7Tx5gD17gAEDmAQRpaB3IhQaGork5ORU++Pj4/Hw4cMsCYqk3bvlsl07wMALr4jIkDx5IucH69tXt3EhEyCiVDLcWHr79u2a9b1798LJyUmznZycjAMHDsDb2ztLgzNlKhXw6JFc79lT2ViIKBc5fBjo0gV4/BiwtQU++EDpiIgMWoYToTZt2gAAzMzMEBgYqHOfpaUlvL29MXv27CwNzpQNGaJdb9pUuTiIKJdITgamTgUmT5a/pMqVAzZuBCpUUDoyIoOW4URIpVIBAIoVK4bTp0/DxcUl24IydYmJwE8/yXV7eznUBxFRusLCgK5dgYMH5XbPnnJ8oLx5lY2LKBfQexyhkJCQ7IiDUjh0SLt+86ZycRBRLvH6NXDmDGBnJ7uYduumdEREuYbeiRAAxMTE4K+//sK9e/eQkJCgc9+wYcOyJDBT1revXDZqBHh4KBsLERkoIbSNn4sXBzZsAIoW5WSERHrSOxE6d+4cPv74Y7x+/RoxMTHInz8/IiIiYGdnBzc3NyZC7yksDLh3T6736qVsLERkoB4+BD77TI4SrW5E6O+vbExEuZTe3eeHDx+OVq1a4cWLF7C1tcXff/+Nf//9Fz4+Pvjuu++yI0aTom4bBMgqfyIiHXv2AFWqyN5hgwbJgRKJKNP0ToTOnz+P//3vfzA3N4eFhQXi4+Ph5eWFmTNnYmzKEQApU7ZulctmzTjkBxGlkJgIjB4txweKiJDJ0K5dcqBEIso0vRMhS0tLmJvL09zc3HDvv3ocJycn3L9/P2ujMzHHjgGXLsl19RxjRES4fx9o2FA7S/ygQcDJk0Dp0oqGRWQM9E6EqlatitOnTwMAGjRogIkTJ2L16tX44osvULFiRb0DWLhwIby9vWFjY4NatWrh1KlTbz0+MjISgwcPhoeHB6ytrVG6dGns2rVL78c1RPXqyWWTJvJHHxERHj6UpT8nTsgh5jduBBYuBGxslI6MyCjonQhNmzYNHv91ZZo6dSry5cuHgQMH4unTp/j555/1utb69esxYsQIBAUFITg4GJUrV4a/vz+ePHmS5vEJCQn46KOPEBoaik2bNuHGjRtYsmQJPD099X0aBmfHDu36woWsFiOi/3h6Aq1aAdWrA+fOAZ9+qnREREZF0dnna9WqhRo1amDBggUA5KCNXl5eGDp0KEaPHp3q+EWLFmHWrFm4fv06LC0tM/WYhjr7fJcuwNq1QIkSwO3bSkdDRIoKDZWjqaoHrn39GrCwAKytFQ2LSEkGM/t8eoKDg9GyZcsMH5+QkICzZ8/Cz89PG4y5Ofz8/HDy5Mk0z9m+fTt8fX0xePBgFCxYEBUrVsS0adPSnARWLT4+HtHR0To3Q6NSySQIAIKClI2FiBS2dausCgsMlB8OgBwokUkQUbbQKxHau3cvRo4cibFjx+Lu3bsAgOvXr6NNmzaoUaOGZhqOjIiIiEBycjIKFiyos79gwYIICwtL85y7d+9i06ZNSE5Oxq5duzBhwgTMnj0b33zzTbqPM336dDg5OWluXl5eGY4xp/z2m3a9bVvl4iAiBcXHA8OGAe3aAVFRwLNncklE2SrDidDSpUvRvHlzrFixAjNmzMCHH36I3377Db6+vnB3d8fly5ezvdGySqWCm5sbFi9eDB8fHwQEBGDcuHFYtGhRuueMGTMGUVFRmpsh9mxTz2Frbi5Lw4nIxNy5A9SpI+cHA4CRI4GjR4F8+ZSNi8gEZHgAivnz52PGjBkYNWoUNm/ejA4dOuDHH3/EpUuXULhwYb0f2MXFBRYWFggPD9fZHx4eDnd39zTP8fDwgKWlJSwsLDT7ypUrh7CwMCQkJMAqjdlJra2tYW3ARcr792vX//pLuTiISCEbNgB9+gAvXwIFCgArVwItWigdFZHJyHCJ0J07d9ChQwcAQLt27ZAnTx7MmjUrU0kQAFhZWcHHxwcHDhzQ7FOpVDhw4AB8fX3TPKdOnTq4ffu2ThXczZs34eHhkWYSlBt8/712vW5d5eIgIgXExclpMl6+lCVC588zCSLKYRlOhGJjY2FnZwcAMDMzg7W1taYbfWaNGDECS5YswcqVK3Ht2jUMHDgQMTEx6NmzJwCge/fuGDNmjOb4gQMH4vnz5/j8889x8+ZN7Ny5E9OmTcPgwYPfKw4l/fGHXE6frmwcRKQAGxtg/Xpg7Fg5ZUYmf1gSUebpNTb7L7/8Avv/GrEkJSVhxYoVcFF37/yPPpOuBgQE4OnTp5g4cSLCwsJQpUoV7NmzR9OA+t69e5pRrAHAy8sLe/fuxfDhw/HBBx/A09MTn3/+Ob766it9nobBOHRIu96li3JxEFEOWrNGdofv00duV68ub0SkiAyPI+Tt7Q2zd4zyZ2ZmpulNZqgMaRyhqlVlSXiBAnLqICIyYq9fA59/DvzyC2BlJf/5y5VTOiqiXCO7vr8zXCIUGhqaZQ9K0vnzcqmePoiIjNS1a0DHjsDly3LY+DFjOE8YkYHgtMUKqV9fu96+vXJxEFE2W7lSTpL6+jVQsKCsGmvcWOmoiOg/TIQUcvSoXDZpAjg7KxoKEWUHIYC+fYGlS+W2n58cPfWNQWSJSFlZNsUGZdy5c9r1LVuUi4OIspGZGVC8uBwpdcoUYM8eJkFEBoglQgoYNEi7bkDzvhLR+xJCTouhLuYdPRpo1gyoVk3RsIgofSwRymEPHwJ//y3XBw5UNhYiykIvXwJduwL16sn2QIAsDWISRGTQMpUI3blzB+PHj0fnzp3x5MkTAMDu3btx5cqVLA3OGKnnFQM4iCKR0Th/HvDxAdaulT3EjhxROiIiyiC9E6G//voLlSpVwj///IMtW7bg1atXAIALFy4gKCgoywM0Ji9eAOoZRRYsAJyclI2HiN6TEMBPPwEffgjcugV4eckkqFkzpSMjogzSOxEaPXo0vvnmG+zbt09nfq/GjRvjb3WdD6VJ3XkEALp1Uy4OIsoCUVFAQIBs9BcfD7RqJXtC1K6tdGREpAe9E6FLly6hbdu2qfa7ubkhgsMjv9WpU3JZqRIbSRPlekOGABs3AnnyALNnA9u2yWHiiShX0TsRcnZ2xuPHj1PtP3fuHDw9PbMkKGO1caNcfvKJsnEQURaYPl22Czp2DBgxQnaXJ6JcR+9EqFOnTvjqq68QFhYGMzMzqFQqHD9+HCNHjkT37t2zI0ajoO5EAgANGyoWBhFl1osXcpRotcKFgdOngVq1lIuJiN6b3onQtGnTULZsWXh5eeHVq1coX7486tevj9q1a2P8+PHZEaNRCAjQrjdpolwcRJQJ//wjZ0nu0UNWgamxFIgo19N7QEUrKyssWbIEEyZMwOXLl/Hq1StUrVoVpUqVyo74jIIQwI4dcn3gQH52EuUaQgBz5siBEZOSgBIlZEkQERkNvROhY8eOoW7duihSpAiKFCmSHTEZnQsXtOszZyoXBxHp4dkzWQKk/hXTsSOwZAl7OhAZGb2rxho3boxixYph7NixuHr1anbEZHR699au29srFwcRZdDx40CVKjIJsraWYwWtW8ckiMgI6Z0IPXr0CP/73//w119/oWLFiqhSpQpmzZqFBw8eZEd8RiE4WC579lQ2DiLKoEePgAcPgFKl5Jw4AwawTpvISJkJIURmTw4JCcGaNWuwdu1aXL9+HfXr18fBgwezMr4sFx0dDScnJ0RFRcExB37dPX+uHVrkwQOAIwwQGSghdJOdlSuBdu0ABwflYiIijez6/n6vSVeLFSuG0aNH49tvv0WlSpXw119/ZVVcRmPnTu06kyAiA/XXX3JMoJRjpAUGMgkiMgGZToSOHz+OQYMGwcPDA126dEHFihWxM+W3PgHQzi1WqJCycRBRGpKTgSlTgMaN5fQYEycqHRER5TC9e42NGTMG69atw6NHj/DRRx9h/vz5aN26Nezs7LIjvlxPXUjWpo2iYRDRm8LCgM8+0/5a6dEDmDdPyYiISAF6J0JHjhzBqFGj0LFjR7i4uGRHTEZDpQJCQ+U6R5MmMiAHDgBduwLh4YCdnewVxpHxiUyS3onQ8ePHsyMOo7R+vVxaWQGtWysbCxH9Z+tWoH172Ti6YkVgwwagXDmloyIihWQoEdq+fTuaN28OS0tLbN++/a3HfsIZRQHIz9guXeR6z54yGSIiA/DRR0CZMkC9esD8+YCtrdIREZGCMtR93tzcHGFhYXBzc4O5efrtq83MzJCcnJylAWa1nOo+/+uv2pL20FCgaNFseygiepfTp2WvMPXnV1QU4OSkbExEpBdFu8+rVCq4ublp1tO7GXoSlJNmzJDLgAAmQUSKSUoCxowBataUc4apMQkiov/o3X1+1apViI+PT7U/ISEBq1atypKgcrtnz4ArV+T6uHHKxkJksu7fl70Uvv1WbnP0eyJKg96JUM+ePREVFZVq/8uXL9GTc0gAAIYPl8vy5WVbTCLKYTt3yrnCjh+X84Nt3Miu8USUJr0TISEEzNKYc+fBgwdwYnEzANk+CAA+/JDTExHlqIQEYORIoGVLOb9N9epyoMRPP1U6MiIyUBnuPl+1alWYmZnBzMwMTZo0QZ482lOTk5MREhKCZs2aZUuQuVWtWkpHQGRirl0Dvv9ern/+uWysZ22tbExEZNAynAi1+W9o5PPnz8Pf3x/29vaa+6ysrODt7Y327dtneYC5zfPn2vWWLZWLg8gkVa4MLFgAuLlxOHciypAMJ0JBQUEAAG9vbwQEBMDGxibbgsrNli3TrnN+MaJsFh8PjB0LdOsm2wQBQL9+ioZERLlLhsYRMibZOY6QENphSrp1A9iJjigb3bkjx6c4exYoXRq4fBmwtFQ6KiLKJtn1/Z2hEqH8+fPj5s2bcHFxQb58+dJsLK32PGXdkIlJWRrEbvNE2WjjRqBPHyA6GsifX44RxCSIiDIhQ4nQ3Llz4eDgoFl/WyJkynbv1q6XKaNcHERGKy4OGDFCTpIKAHXqAGvXAl5eysZFRLlWhhKhwMBAzXqPHj2yK5Zc7+lTuWQjaaJs8PQp0LQpcP683B4zBvj6ayCP3nNHExFp6D2OUHBwMC5duqTZ3rZtG9q0aYOxY8ciISEhS4PLbY4ckcs6dZSNg8go5c8PuLgArq7Anj3AtGlMgojovemdCPXv3x83b94EANy9excBAQGws7PDxo0b8eWXX2Z5gLnF/fvadY7dRpRFXr8GYmPluoUFsHq1LBHy91c0LCIyHnonQjdv3kSV/7qpbty4EQ0aNMCaNWuwYsUKbN68OavjyzX++Ue7XrKkcnEQGY1r1+SopF98od3n5sZxKYgoS2Vqig2VSgUA2L9/Pz7++GMAgJeXFyIiIrI2ulxkxw65tLVVNg4io7BypZwe4/JlYNs2bQM8IqIspnciVL16dXzzzTf49ddf8ddff6FFixYAgJCQEBQsWDDLA8wtzpyRSzaUJnoPMTFAjx7y9vo10KSJrApzdVU4MCIyVnonQvPmzUNwcDCGDBmCcePGoeR/9UCbNm1C7dq1szzA3EI9okCjRsrGQZRrXb4M1KghS4PMzYEpU4C9ewF3d6UjIyIjlmUjS8fFxcHCwgKWBj6oWXaMTJmUpB3L7e+/Odkqkd4SEoASJYAHD2QboDVrgAYNlI6KiAyIoiNLp+Xs2bO4du0aAKB8+fKoVq1algWV2+zbp12vWlW5OIhyLSsrYNEiYOFCWSLEqjAiyiF6J0JPnjxBQEAA/vrrLzg7OwMAIiMj0ahRI6xbtw6uJvgBduqUXBYtKj/PiSgDLlwAnjwBPvpIbrdoAXz8sbaemYgoB+jdRmjo0KF49eoVrly5gufPn+P58+e4fPkyoqOjMWzYsOyI0eDNmyeXAwcqGgZR7iCELP2pVUtOmnrvnvY+JkFElMP0LhHas2cP9u/fj3Llymn2lS9fHgsXLkTTpk2zNLjcolAhIDKSw5sQvVNUFNCvH7Bhg9z+6CMgb15lYyIik6Z3iZBKpUqzQbSlpaVmfCFTEhMDXL0q10uUUDYWIoN29ixQrZpMgvLkAWbPBrZvBwoUUDoyIjJheidCjRs3xueff45Hjx5p9j18+BDDhw9HkyZNsjS43GD2bO36fwNuE9GbfvgBqF0buHtXNqY7dkzOIs+qMCJSmN6J0IIFCxAdHQ1vb2+UKFECJUqUQLFixRAdHY0ffvghO2I0aGFhclmiBGBnp2wsRAbryhXZRb5NG+DcOY4xQUQGQ+82Ql5eXggODsaBAwc03efLlSsHPz+/LA8uN1DPOJ9yOiQigmwUrS7xmTtXlgh168ZSICIyKHolQuvXr8f27duRkJCAJk2aYOjQodkVV64QEyN/6AJAnTrKxkJkMISQic++fXISPgsLOQlf9+5KR0ZElEqGE6GffvoJgwcPRqlSpWBra4stW7bgzp07mDVrVnbGZ9A2b9aucyBFIgDPnsl5wtSzEG/ZAnTooGhIRERvk+E2QgsWLEBQUBBu3LiB8+fPY+XKlfjxxx+zMzaDFxgol23aKBoGkWE4cUL+ItixA7C2Bn76Cfj0U6WjIiJ6qwwnQnfv3kWg+psfQJcuXZCUlITHjx9nS2CGLuVIAf37KxcHkeJUKmDGDKB+feD+faBUKTnp3oABbA9ERAYvw4lQfHw88qYY+Mzc3BxWVlaIjY3NlsAM3f372vXGjZWLg0hxw4YBo0cDyclAly5yvCCOJUFEuYRejaUnTJgAuxR9xBMSEjB16lQ4OTlp9s2ZMyfrojNgW7fKpacn5xcjE9evH7B2LTBzJtCrF0uBiChXyXAiVL9+fdy4cUNnX+3atXH37l3NtpkJfQCqC8KiopSNgyjHJScDZ85oxwL64AMgNBRwcFA0LCKizMhwInT48OFsDCP3CQ+Xy65dlY2DKEeFhwOffQYcPixHh1YnQ0yCiCiX0ntkaZLmz5fLatWUjYMoxxw8CFSuDOzfL+uDHzxQOiIiovfGRCgTIiO16yVLKhYGUc5ITgaCggA/P1kiVLGirBpr317pyIiI3pveU2wQsGqVdr1hQ8XCIMp+jx7J+l911XifPrI4lBPrEZGRYCKUCefPy6WHB2DOMjUyZlu2yCTI3h74+WfZPZ6IyIgYxNf4woUL4e3tDRsbG9SqVQunTp3K0Hnr1q2DmZkZ2uTw0M7qEiE2lCajN3gwMHKkHBuISRARGaFMJUJHjx7FZ599Bl9fXzx8+BAA8Ouvv+LYsWN6X2v9+vUYMWIEgoKCEBwcjMqVK8Pf3x9Pnjx563mhoaEYOXIk6tWrl5mnkGkqlWwyAcimEkRG5cEDOVfYy5dy28wMmDULKF1a0bCIiLKL3onQ5s2b4e/vD1tbW5w7dw7x8fEAgKioKEybNk3vAObMmYO+ffuiZ8+eKF++PBYtWgQ7OzssW7Ys3XOSk5PRtWtXTJ48GcWLF9f7Md/Hr79q1zmNEhmVnTvliNArVwL/+5/S0RAR5Qi9E6FvvvkGixYtwpIlS2BpaanZX6dOHQQHB+t1rYSEBJw9exZ+fn7agMzN4efnh5MnT6Z73tdffw03Nzf07t37nY8RHx+P6Ohondv72LlTu55ixhGi3CsxERg1CmjZUs4e7+MDfPWV0lEREeUIvROhGzduoH79+qn2Ozk5ITJlv/IMiIiIQHJyMgoWLKizv2DBgggLC0vznGPHjmHp0qVYsmRJhh5j+vTpcHJy0ty8vLz0ivFNGzfK5dix73UZIsPw779ystTvvpPbw4YBx48DJUooGxcRUQ7ROxFyd3fH7du3U+0/duxYtldTvXz5Et26dcOSJUvg4uKSoXPGjBmDqKgoze1+ytlSM6FoUbmsWvW9LkOkvKNHZVXY338Dzs5yAr358wFra6UjIyLKMXp3n+/bty8+//xzLFu2DGZmZnj06BFOnjyJkSNHYsKECXpdy8XFBRYWFghXz1fxn/DwcLi7u6c6/s6dOwgNDUWrVq00+1QqlXwiefLgxo0bKPHGL1lra2tYZ9EH+61b8gc0oJ1ZgCjXKlVKJj21agHr1gHe3kpHRESU4/ROhEaPHg2VSoUmTZrg9evXqF+/PqytrTFy5EgMHTpUr2tZWVnBx8cHBw4c0HSBV6lUOHDgAIYMGZLq+LJly+LSpUs6+8aPH4+XL19i/vz5713t9S4jRsiluztQuHC2PhRR9nj2DChQQK67u8sxgooXl1NmEBGZIL0TITMzM4wbNw6jRo3C7du38erVK5QvXx729vaZCmDEiBEIDAxE9erVUbNmTcybNw8xMTHo2bMnAKB79+7w9PTE9OnTYWNjg4pv9Fl3dnYGgFT7s8O9e3LZurXsVUyUq2zaBPTuDSxeDAQEyH1lyyobExGRwjI9srSVlRXKly//3gEEBATg6dOnmDhxIsLCwlClShXs2bNH04D63r17MDeA4ZuFAC5elOtt2yobC5Fe4uJkd/gff5TbK1cCHTsymyciAmAmhBD6nNCoUSOYveUD9ODBg+8dVHaKjo6Gk5MToqKi4OjomOHzjh6VnWsAICaGUy1RLnHrlkx61PPCjB4NfP01kGLoCyKi3CCz39/voneJUJUqVXS2ExMTcf78eVy+fBmBgYFZFZfB+eEHuaxenUkQ5RJr1wL9+gGvXgEuLnI00GbNlI6KiMig6J0IzZ07N839kyZNwqtXr947IEN16JBc1qypbBxEGXLxonZusPr1gTVrAE9PZWMiIjJAeleNpef27duoWbMmnj9/nhWXyzaZKVpLSpLDrMTEAEeOADk8vRlR5owaBdjaAhMnAnky3RyQiMggGEzVWHpOnjwJGxubrLqcQYmMlEkQAPj6KhoKUfpWr5ZZepEicnvmTDaIJiJ6B70ToXbt2ulsCyHw+PFjnDlzRu8BFXOL16/l0sqKP6zJAMXEAEOHAsuXA7Vry7GBLC2ZBBERZYDeX+tOTk462+bm5ihTpgy+/vprNG3aNMsCMyTHj8tlQoKycRClcuWK7BV29Spgbg74+8slERFliF6JUHJyMnr27IlKlSohX7582RWTwQkNVToCojcIIUuAhgwBYmMBDw/ZILphQ6UjIyLKVfT66WhhYYGmTZvqPct8brdokVyqO+EQKSomBujeXY4SHRsrS4HOn2cSRESUCXqXoVesWBF3797NjlgMVnKyXP432DWRsszNZfd4Cwtg+nRg1y7AzU3pqIiIciW92wh98803GDlyJKZMmQIfHx/kzZtX5/6s7NJmCBISgIcP5fpnnykbC5kwIeTN3Fx2id+wAXj6FKhbV+nIiIhytQyPI/T111/jf//7HxwcHLQnp+iVIoSAmZkZktXFJwZK33EIVqwA/pv/FQkJnJmAFBAVJUeIrlQJGD9e6WiIiBSh+DhCkydPxoABA3BIPcSyiXjxQi69vJgEkQLOnpUzxd+5A2zfLtsFeXgoHRURkdHIcCKkLjhq0KBBtgVjiOLj5VI94SpRjhACWLAAGDlSFkUWLQqsW8ckiIgoi+nVRuhts84bq82b5fKN4ZOIsk9kpCz52bJFbrdpAyxbBpjQkBVERDlFr0SodOnS70yGDH2uMX0IAZw5I9fVsxYQZaukJDk69LVrsi72u+/kqNEm+COEiCgn6JUITZ48OdXI0sYsPFy7PmSIcnGQCcmTB/j8czlP2Pr1QPXqSkdERGTUMtxrzNzcHGFhYXDL5eOV6NPq/OZNoEwZuZ6xV4koE54/Bx4/BipUkNtCyAnu3hiagojIlGVXr7EMD6hoiu2DLl+Wy+LFlY2DjNiJE0CVKkDLlrJtECCrwZgEERHliAwnQhksODIqFy/KZYqhk4iyhkoFzJghuyPevy/bAz15onRUREQmJ8NthFQqVXbGYZBOn5ZLlghRlnr6FAgMBHbvltudOwM//8yMm4hIAXpPsWFK/vpLLjmLAWWZI0dk4vPoEWBjA/zwg+wqb4JVz0REhoCJUDoeP5aTfAPAhx8qGwsZkTlzZBJUtqycL6xSJaUjIiIyaUyE0rFggVw6OQG+vsrGQkZk6VJZ1/r114C9vdLREBGZvAw3ljY1Dx7IZa1arLWg93DwIPC//2nHXyhQQJYKMQkiIjIILBFKx9Gjclm1qrJxUC6VnCxLfaZMkUlQrVpAx45KR0VERG9gIpQO9ZAurq6KhkG50aNHQNeuwOHDcrt3bzlOEBERGRwmQumwspLL0qWVjYNymT//BD77THaRz5tXdovv2lXpqIiIKB1sI5QGIbTzjJUvr2wslIvMmgU0ayaToMqVgeBgJkFERAaOiVAa7t/Xrnt6KhcH5TLqBmUDBwJ//83iRCKiXIBVY2n48Ue5tLaWY94RpevJE0A9EbGfH3DpknbyVCIiMngsEUrDrl1yqZ55niiVxERg1ChZ6nPnjnY/kyAiolyFiVAaLl2Sy0aNlI2DDNS//wL16gHffQdERQF//KF0RERElEmsGntDVJR2fcAA5eIgA/X770DPnnJ8BScnYNkyoF07paMiIqJMYonQG0JDtetlyyoWBhmahATgiy+Atm1lElSzJnDuHJMgIqJcjonQG+7elctSpZSNgwzMggXA/PlyfcQIOfR4sWLKxkRERO+NVWNvOHZMLp89UzYOMjBDhgD79gGDBgGtWikdDRERZRGWCL1BXSL0ySfKxkEKi4uTk6MmJsptKytg924mQURERoYlQm9Q94SuUUPZOEhBt24BAQGyDdDTp8D06UpHRERE2YQlQikkJgKXL8t1Pz9lYyGFrFsHVKsmkyAXF6B+faUjIiKibMREKIVXr+Q8YwDg7a1oKJTTYmOB/v2Bzp3lH0K9esD580Dz5kpHRkRE2YiJUAqPH2vX1bPPkwm4eROoVQtYvBgwMwPGjwcOHuREc0REJoBthFJ4+VLpCEgRKpVsJe/mBqxezXpRIiITwkQohevX5ZLTRZkAlQow/69AtGxZYMsWoFIlwMND2biIiChHsWoshchIuXzxQtEwKLtduQJUqQIcOaLd17QpkyAiIhPERCiFDRvksksXZeOgbCIEsHSpHBvh0iXgf//Tto4nIiKTxEQoBScnuTQzUzYOygYvXwLdugF9+sgeYk2bAjt38s0mIjJxTIRSCA+XS19fZeOgLHbhAlC9umwIbWEBTJsmR4l2c1M6MiIiUhgbS6fw6JFcuroqGwdloWvXZNf4+HjZHX7dOqBuXaWjIiIiA8FE6D9PnwJhYXK9dGllY6EsVLasnDguJgZYuVKOFk1ERPQfJkL/CQ7WrrPGJJc7dw4oVgxwdpZtgFauBKyttd3liYiI/sNvhv9cuyaXdnbKxkHvQQhgwQLgww9lo2h1jzBbWyZBRESUJpYI/efJE7ksX17ZOCiTIiOB3r3lwIgAkJQExMXJJIiIiCgd/Jn8n02b5LJRI2XjoEw4dQqoWlUmQZaWwLx5wNatTIKIiOidmAj9JzFRLr28lI2D9CAEMHeu7AUWGirbBR0/Dnz+OccHIiKiDGEiBDl+UGioXG/RQtFQSB9RUcCcOTKLbd9etnivUUPpqIiIKBdhGyEAZ8/KpYMDULy4srGQHpydgbVr5YCJgwaxFIiIiPTGRAjA5cty+eqVsnHQO6hUwHffAe7uQPfucl/duhwgkYiIMo2JEIB//5VLfp8asKdPgcBAOTWGnZ1s1c4GXURE9J6YCEE7x5inp7JxUDqOHgU6dZJzoNjYyF5hhQsrHRURERkBNpaGto1QpUrKxkFvUKmAqVOBhg1lElSmDPDPP0DfvmwPREREWYIlQgCSk+WyWDFl46AUkpNlF769e+V2t27Ajz8C9vbKxkVEREaFJUKQgxID7HltUCwsgOrVZXug5cuBVauYBBERUZYz+URICODlS7nOgYgVlpwsG0WrTZoEnD8P9OihUEBERGTsDCIRWrhwIby9vWFjY4NatWrh1KlT6R67ZMkS1KtXD/ny5UO+fPng5+f31uPf5e5d7Xr+/Jm+DL2vx4+Bjz4CmjcH4uPlvjx5gFKllI2LiIiMmuKJ0Pr16zFixAgEBQUhODgYlStXhr+/P56oZ0F9w+HDh9G5c2ccOnQIJ0+ehJeXF5o2bYqHDx9m6vEPHZLLIkVYIqSYP/8EKleWb8b163KARCIiohygeCI0Z84c9O3bFz179kT58uWxaNEi2NnZYdmyZWkev3r1agwaNAhVqlRB2bJl8csvv0ClUuHAgQOZevzoaLl0c8vsM6BMS0oCxo0DmjWTVWIffCC78NWsqXRkRERkIhRNhBISEnD27Fn4+flp9pmbm8PPzw8nT57M0DVev36NxMRE5E+nXis+Ph7R0dE6t5TUYwjVrp2550CZ9OAB0LgxMG2abKjVvz/w99+yizwREVEOUTQRioiIQHJyMgoWLKizv2DBgggLC8vQNb766isUKlRIJ5lKafr06XByctLcvN4YjXjrVrksUkT/+Ok99O0rB0p0cADWrQMWLWLdJBER5TjFq8bex7fffot169Zh69atsLGxSfOYMWPGICoqSnO7f/++zv23bsll3rzZHS3pWLhQTpMRHAwEBCgdDRERmShFB1R0cXGBhYUFwtX1U/8JDw+Hu7v7W8/97rvv8O2332L//v344IMP0j3O2toa1tbW6d7v6iqbp3BU6Wx2755sFN2nj9wuXhw4eFDZmIiIyOQpWiJkZWUFHx8fnYbO6obPvr6+6Z43c+ZMTJkyBXv27EH16tXfKwZ1T+03aucoK23fDlSpAvTrJ5MhIiIiA6H4FBsjRoxAYGAgqlevjpo1a2LevHmIiYlBz549AQDdu3eHp6cnpk+fDgCYMWMGJk6ciDVr1sDb21vTlsje3h72eo48rFJpe429pdCIMishAfjqKzlJKiCH7ua4QEREZEAUT4QCAgLw9OlTTJw4EWFhYahSpQr27NmjaUB97949mJtrC65++uknJCQk4NNPP9W5TlBQECZNmqTXY6vbBwHAO2riSF8hIbLtz+nTcnv4cODbbwErK2XjIiIiSsFMCCGUDiInRUdHw8nJCVFRUbh0yRF168r9pvUqZLPff5fTYkRFAfnyAStWAJ98onBQRESUm6X8/nZ0dMyy6ypeIqSkc+fkkkPXZLHoaJkE+frKrvEcm4CIiAyUSSdClpZy+cYYi5QZyclyxngA6N4dsLEB2rbVvshEREQGKFePI/S+1HO11qunbBy53rp1cvyBiAjtvo4dmQQREZHBM+lESD3z/KtXysaRa8XGyqkxOncGrl0D5sxROiIiIiK9mHTVmLqnWNGiysaRK12/Lkt9Ll0CzMyAsWMBPXvtERERKc2kE6F16+SyalVl48h1fv0VGDgQiIkB3NyA334DPvpI6aiIiIj0ZtKJkFo6E9dTWn7+GRgwQK43agSsXg14eCgbExERUSaZbBuhFy+06w0aKBdHrtOpE1CypKwG27ePSRAREeVqJlsidOeOXFpbAy4uysZi0ISQk6M2bizbAjk5ARcvAra2SkdGRET03ky2ROjJE7msUEHZOAzaq1dAYCDg5wcsWqTdzySIiIiMhMmWCCUkyGXevMrGYbAuXpS9wm7cAMzNZcNoIiIiI2OyiVBsrFxy1vk3CAEsXgx8/jkQHw94egJr13LUSSIiMkommwidOCGXnAw9hehooF8/YP16ud28ObBqFRtRERGR0TLZNkLqXmMcVTqFy5eBjRvlnGEzZwI7djAJIiIio2ayJUKJiXJZubKycRiU2rWBBQuAKlXkzPFERERGzmRLhE6elEtvb0XDUFZkJNCtm5wnTG3gQCZBRERkMky2RMjTE4iKkjNEmKTTp4GAACAkBLh6FThzRo4TREREZEJMtkRI3UaoRAll48hxQgDz5gF16sgkyNtbjhHEJIiIiEyQyZYIqRtJFyigbBw56vlzoGdPYPt2ud2uHbB0KeDsrGhYRERESjHZROjlS7m0t1c2jhwTEgI0bAjcuyfHDJgzBxg0iCVBRERk0kw2EVIrWFDpCHKIlxdQpAhgaQls2ABUq6Z0RERERIoz6UTIxkYOmWO0nj0DHBxkCVCePHKMIDs7wNFR6ciIiIgMgsk2lgaMPB84elQOkvTVV9p97u5G/qSJiIj0Y9KJkJOT0hFkA5UKmDYNaNQIePgQ2LOHE6YSERGlw6QTIaPz5AnQrBkwbhyQnAx89pkcLyhvXqUjIyIiMkgm3Ubo6VOlI8hChw4BXboAYWGArS2wcCHQowd7hREREb2FSSdCHTooHUEWiY4G2reXo0SWLy97hVWooHRUREREBs+kEyFra6UjyCKOjsDPPwO7dwM//MCqMCIiogwy6UTo4UOlI3gP+/cD5uZA48Zyu0MHIyriIiIiyhkm3Vjax0fpCDIhKQkYPx5o2hTo3Bl4/FjpiIiIiHItky4RsrVVOgI9PXwok5+jR+V2mzacJ4yIiOg9mHQipJ6BPlfYvRvo3h2IiJATpC1ZAnTqpHRUREREuZpJV42VL690BBmgUsnRoT/+WCZBVasCwcFMgoiIiLKASSdCeXJDeZi5uRwbCAAGDwZOnABKlVI2JiIiIiORG1KBbGPQiVBSkjbAhQtlj7CWLZWNiYgomwkhkJSUhOTkZKVDIQVYWlrCIodnQzfkVCDbGWQilJAAjB4N3L4NbNsmR4a2t2cSRERGLyEhAY8fP8br16+VDoUUYmZmhsKFC8Pe3j7HHtMQU4Eck8NJ57uFhAABAXJ+MAA4fFhOnkpEZORUKhVCQkJgYWGBQoUKwcrKCmacIsikCCHw9OlTPHjwAKVKlcqxkiGTToRUKqUjSGHLFqBXLyAqSnaJX7GCSRARmYyEhASoVCp4eXnBzs5O6XBIIa6urggNDUViYmKOJUIm3Vja3V3pCADExwNDh8q5wqKigA8/BM6fB1q3VjoyIqIcZ25u0l9LJk+JUkCT/osziB8dXbsCCxbI9VGjgCNHgKJFlY2JiIjIRJh0ImRlpXQEkGMEeXgAO3YAM2cClpZKR0RERGQyTDoRUmT2+dhY4K+/tNs1agB37wItWigQDBERZYWTJ0/CwsICLdL4LD98+DDMzMwQGRmZ6j5vb2/MmzdPZ9+hQ4fw8ccfo0CBArCzs0P58uXxv//9Dw+zcabwuLg4DB48GAUKFIC9vT3at2+P8PDwt54THh6OHj16oFChQrCzs0OzZs1w69at975uTjPpRKhw4Rx+wBs3ZBsgf3/ZDkjNxiaHAyEioqy0dOlSDB06FEeOHMGjR48yfZ2ff/4Zfn5+cHd3x+bNm3H16lUsWrQIUVFRmD17dhZGrGv48OH4448/sHHjRvz111949OgR2rVrl+7xQgi0adMGd+/exbZt23Du3DkULVoUfn5+iImJyfR1FSFMTFRUlAAgChaMytkH/u03IfLmFQIQwtVViEOHcvbxiYgMWGxsrLh69aqIjY1VOhS9vXz5Utjb24vr16+LgIAAMXXqVJ37Dx06JACIFy9epDq3aNGiYu7cuUIIIe7fvy+srKzEF198kebjpHV+VoiMjBSWlpZi48aNmn3Xrl0TAMTJkyfTPOfGjRsCgLh8+bJmX3JysnB1dRVLlizJ9HXf9neg/v6Oisra72+TLRFKkbBmr9evgT59gM8+kw/asKEsDWrYMIcCICLKfYSQH5lK3ITQL9YNGzagbNmyKFOmDD777DMsW7YMQt+LANi4cSMSEhLw5Zdfpnm/s7Nzuuc2b94c9vb26d4qVKiQ7rlnz55FYmIi/Pz8NPvKli2LIkWK4OTJk2meEx8fDwCwSVGjYW5uDmtraxw7dizT11WCyY4j5OaWAw9y9SrQsSNw5YocIXriRGDCBAMcyZGIyLC8fi0H1VfCq1dA3rwZP37p0qX47LPPAADNmjVDVFQU/vrrLzTU8wfvrVu34OjoCA8PD73OA4BffvkFsbGx6d5v+ZaOOGFhYbCyskqVaBUsWBBh6rku36BOaMaMGYOff/4ZefPmxdy5c/HgwQM8fvw409dVgskmQjnSPmjbNpkEubsDq1cDjRvnwIMSEVFOuXHjBk6dOoWtW7cCAPLkyYOAgAAsXbpU70RICJHpcXQ8PT0zdV5mWVpaYsuWLejduzfy588PCwsL+Pn5oXnz5pkqDVOSySZCOdJ1/ssvZTnr0KFAwYI58IBERMbBzk6WzCj12Bm1dOlSJCUloVChQpp9QghYW1tjwYIFcHJygqOjIwAgKioqVelIZGQknJycAAClS5dGVFQUHj9+rHepUPPmzXH06NF07y9atCiuXLmS5n3u7u5ISEhAZGSkTnzh4eFwf8vIwz4+Pjh//jyioqKQkJAAV1dX1KpVC9WrV3+v6+Y0k02EHjzIhoteugR8/TWwahVgayurwL75JhseiIjIuJmZ6Vc9pYSkpCSsWrUKs2fPRtOmTXXua9OmDdauXYsBAwagVKlSMDc3x9mzZ1E0xYC5d+/eRVRUFEqXLg0A+PTTTzF69GjMnDkTc+fOTfV4byYUKb1P1ZiPjw8sLS1x4MABtG/fHoAs6bp37x58fX3TPU9NncjdunULZ86cwZQpU7LkujkmS5te5wLqVucdO2Zhq3OVSojFi4WwsZG9wr78MuuuTURkAnJjr7GtW7cKKysrERkZmeq+L7/8UlSvXl2z3a9fP+Ht7S22bdsm7t69K/766y/x4Ycfig8//FCoVCrNcQsXLhRmZmaiV69e4vDhwyI0NFQcO3ZM9OvXT4wYMSLbnsuAAQNEkSJFxMGDB8WZM2eEr6+v8PX11TmmTJkyYsuWLZrtDRs2iEOHDok7d+6I33//XRQtWlS0a9dO7+umpESvMZNNhDp1yqIXMipKiE6dZAIECNGsmRBPnmTNtYmITERuTIRatmwpPv744zTv++effwQAceHCBSGEfH5BQUGibNmywtbWVhQrVkz069dPPH36NNW5+/btE/7+/iJfvnzCxsZGlC1bVowcOVI8evQo255LbGysGDRokMiXL5+ws7MTbdu2FY8fP9Y5BoBYvny5Znv+/PmicOHCwtLSUhQpUkSMHz9exMfH633dN4/P6UTITIhc1qrpPUVHR8PJyQmjR0dh+nTH97vYuXOyV9jt27IabNo0YORIgJMGEhHpJS4uDiEhIShWrJhOl2wyLW/7O1B/f0dFRWnaXWUFk20j9N65ytatQKdOQEIC4OUFrFsH1K6dJbERERFRzjDZROi9h/KpXl0OclGnDrB8OVCgQJbERURERDnHZBOhTJUIPXwIqMdq8PICTp0CiheX3RuIiIgo1zHZxix6JUJCAPPny6Rn+3bt/hIlmAQRERHlYkyE3uX5c6BtW+CLL2R7oJSJEBEREeVqJpsIZagg5++/gapV5VQZVlbADz8AS5Zke2xERKbKxDoy0xuUeP9NNhGKiHjLnSoV8N13QL16wL17sgrsxAlgyBBWhRERZQP1yMevX79WOBJSUkJCAgDAIgcnJzfZxtLFir3lziNHgFGj5HrHjrIUKAvHLCAiIl0WFhZwdnbGkydPAAB2dnaZnoCUcieVSoWnT5/Czs4OefLkXHpisonQW9sINWwIfP45ULYs0L8/S4GIiHKAeiJOdTJEpsfc3BxFihTJ0STYZBMhnVI3lUr2CuvcGVDPiDtvnhJhERGZLDMzM3h4eMDNzQ2JiYlKh0MKsLKygnkOz85gEInQwoULMWvWLISFhaFy5cr44YcfULNmzXSP37hxIyZMmIDQ0FCUKlUKM2bMwMcff6zXY2oSoSdPgG7dgD//BHbsAPbt4xQZREQKsrCwyNE2ImTaFP/GX79+PUaMGIGgoCAEBwejcuXK8Pf3T7do9MSJE+jcuTN69+6Nc+fOoU2bNmjTpg0uX76s1+OamwM4fBioUkUmQba2QNeurAYjIiIyIYpPulqrVi3UqFEDCxYsACAbS3l5eWHo0KEYPXp0quMDAgIQExODHTt2aPZ9+OGHqFKlChYtWvTOx1NP2nai9Rj4/jFDVouVKwds2ABUrJh1T4yIiIiyTHZNuqpoiVBCQgLOnj0LPz8/zT5zc3P4+fnh5MmTaZ5z8uRJneMBwN/fP93j01Nh23SZBPXsCZw+zSSIiIjIBCnaRigiIgLJyckoWLCgzv6CBQvi+vXraZ4TFhaW5vFhYWFpHh8fH4/4+HjNdlRUFADguaUNsGC+nEE+ORmIjn6fp0JERETZKPq/7+msrsgyiMbS2Wn69OmYPHlyqv3FEuNk1/j+/RWIioiIiDLj2bNncHJyyrLrKZoIubi4wMLCAuHh4Tr7w8PDNeNJvMnd3V2v48eMGYMRI0ZotiMjI1G0aFHcu3cvS19I0l90dDS8vLxw//79LK3vpczh+2E4+F4YDr4XhiMqKgpFihRB/vz5s/S6iiZCVlZW8PHxwYEDB9CmTRsAsrH0gQMHMGTIkDTP8fX1xYEDB/DFF19o9u3btw++vr5pHm9tbQ1ra+tU+52cnPhHbSAcHR35XhgQvh+Gg++F4eB7YTiyepwhxavGRowYgcDAQFSvXh01a9bEvHnzEBMTg549ewIAunfvDk9PT0yfPh0A8Pnnn6NBgwaYPXs2WrRogXXr1uHMmTNYvHixkk+DiIiIciHFE6GAgAA8ffoUEydORFhYGKpUqYI9e/ZoGkTfu3dPJ/urXbs21qxZg/Hjx2Ps2LEoVaoUfv/9d1Rkry8iIiLSk+KJEAAMGTIk3aqww4cPp9rXoUMHdOjQIVOPZW1tjaCgoDSryyhn8b0wLHw/DAffC8PB98JwZNd7ofiAikRERERKUXyKDSIiIiKlMBEiIiIik8VEiIiIiEwWEyEiIiIyWUaZCC1cuBDe3t6wsbFBrVq1cOrUqbcev3HjRpQtWxY2NjaoVKkSdu3alUORGj993oslS5agXr16yJcvH/Llywc/P793vnekH33/N9TWrVsHMzMzzcCn9P70fS8iIyMxePBgeHh4wNraGqVLl+ZnVRbR972YN28eypQpA1tbW3h5eWH48OGIi4vLoWiN15EjR9CqVSsUKlQIZmZm+P333995zuHDh1GtWjVYW1ujZMmSWLFihf4PLIzMunXrhJWVlVi2bJm4cuWK6Nu3r3B2dhbh4eFpHn/8+HFhYWEhZs6cKa5evSrGjx8vLC0txaVLl3I4cuOj73vRpUsXsXDhQnHu3Dlx7do10aNHD+Hk5CQePHiQw5EbJ33fD7WQkBDh6ekp6tWrJ1q3bp0zwRo5fd+L+Ph4Ub16dfHxxx+LY8eOiZCQEHH48GFx/vz5HI7c+Oj7XqxevVpYW1uL1atXi5CQELF3717h4eEhhg8fnsORG59du3aJcePGiS1btggAYuvWrW89/u7du8LOzk6MGDFCXL16Vfzwww/CwsJC7NmzR6/HNbpEqGbNmmLw4MGa7eTkZFGoUCExffr0NI/v2LGjaNGihc6+WrVqif79+2drnKZA3/fiTUlJScLBwUGsXLkyu0I0KZl5P5KSkkTt2rXFL7/8IgIDA5kIZRF934uffvpJFC9eXCQkJORUiCZD3/di8ODBonHjxjr7RowYIerUqZOtcZqajCRCX375pahQoYLOvoCAAOHv76/XYxlV1VhCQgLOnj0LPz8/zT5zc3P4+fnh5MmTaZ5z8uRJneMBwN/fP93jKWMy81686fXr10hMTMzyCfZMUWbfj6+//hpubm7o3bt3ToRpEjLzXmzfvh2+vr4YPHgwChYsiIoVK2LatGlITk7OqbCNUmbei9q1a+Ps2bOa6rO7d+9i165d+Pjjj3MkZtLKqu9vgxhZOqtEREQgOTlZMz2HWsGCBXH9+vU0zwkLC0vz+LCwsGyL0xRk5r1401dffYVChQql+kMn/WXm/Th27BiWLl2K8+fP50CEpiMz78Xdu3dx8OBBdO3aFbt27cLt27cxaNAgJCYmIigoKCfCNkqZeS+6dOmCiIgI1K1bF0IIJCUlYcCAARg7dmxOhEwppPf9HR0djdjYWNja2mboOkZVIkTG49tvv8W6deuwdetW2NjYKB2OyXn58iW6deuGJUuWwMXFRelwTJ5KpYKbmxsWL14MHx8fBAQEYNy4cVi0aJHSoZmcw4cPY9q0afjxxx8RHByMLVu2YOfOnZgyZYrSoVEmGVWJkIuLCywsLBAeHq6zPzw8HO7u7mme4+7urtfxlDGZeS/UvvvuO3z77bfYv38/Pvjgg+wM02To+37cuXMHoaGhaNWqlWafSqUCAOTJkwc3btxAiRIlsjdoI5WZ/w0PDw9YWlrCwsJCs69cuXIICwtDQkICrKyssjVmY5WZ92LChAno1q0b+vTpAwCoVKkSYmJi0K9fP4wbN05nknDKXul9fzs6Oma4NAgwshIhKysr+Pj44MCBA5p9KpUKBw4cgK+vb5rn+Pr66hwPAPv27Uv3eMqYzLwXADBz5kxMmTIFe/bsQfXq1XMiVJOg7/tRtmxZXLp0CefPn9fcPvnkEzRq1Ajnz5+Hl5dXToZvVDLzv1GnTh3cvn1bk4wCwM2bN+Hh4cEk6D1k5r14/fp1qmRHnaAKTt2Zo7Ls+1u/dtyGb926dcLa2lqsWLFCXL16VfTr1084OzuLsLAwIYQQ3bp1E6NHj9Ycf/z4cZEnTx7x3XffiWvXromgoCB2n88i+r4X3377rbCyshKbNm0Sjx8/1txevnyp1FMwKvq+H29ir7Gso+97ce/ePeHg4CCGDBkibty4IXbs2CHc3NzEN998o9RTMBr6vhdBQUHCwcFBrF27Vty9e1f8+eefokSJEqJjx45KPQWj8fLlS3Hu3Dlx7tw5AUDMmTNHnDt3Tvz7779CCCFGjx4tunXrpjle3X1+1KhR4tq1a2LhwoXsPq/2ww8/iCJFiggrKytRs2ZN8ffff2vua9CggQgMDNQ5fsOGDaJ06dLCyspKVKhQQezcuTOHIzZe+rwXRYsWFQBS3YKCgnI+cCOl7/9GSkyEspa+78WJEydErVq1hLW1tShevLiYOnWqSEpKyuGojZM+70ViYqKYNGmSKFGihLCxsRFeXl5i0KBB4sWLFzkfuJE5dOhQmt8B6tc/MDBQNGjQINU5VapUEVZWVqJ48eJi+fLlej+umRAsyyMiIiLTZFRthIiIiIj0wUSIiIiITBYTISIiIjJZTISIiIjIZDERIiIiIpPFRIiIiIhMFhMhIiIiMllMhIhIx4oVK+Ds7Kx0GJlmZmaG33///a3H9OjRA23atMmReIjIsDERIjJCPXr0gJmZWarb7du3lQ4NK1as0MRjbm6OwoULo2fPnnjy5EmWXP/x48do3rw5ACA0NBRmZmY4f/68zjHz58/HihUrsuTx0jNp0iTN87SwsICXlxf69euH58+f63UdJm1E2cuoZp8nIq1mzZph+fLlOvtcXV0VikaXo6Mjbty4AZVKhQsXLqBnz5549OgR9u7d+97XTm/W8JScnJze+3EyokKFCti/fz+Sk5Nx7do19OrVC1FRUVi/fn2OPD4RvRtLhIiMlLW1Ndzd3XVuFhYWmDNnDipVqoS8efPCy8sLgwYNwqtXr9K9zoULF9CoUSM4ODjA0dERPj4+OHPmjOb+Y8eOoV69erC1tYWXlxeGDRuGmJiYt8ZmZmYGd3d3FCpUCM2bN8ewYcOwf/9+xMbGQqVS4euvv0bhwoVhbW2NKlWqYM+ePZpzExISMGTIEHh4eMDGxgZFixbF9OnTda6trhorVqwYAKBq1aowMzNDw4YNAeiWsixevBiFChXSmdkdAFq3bo1evXpptrdt24Zq1arBxsYGxYsXx+TJk5GUlPTW55knTx64u7vD09MTfn5+6NChA/bt26e5Pzk5Gb1790axYsVga2uLMmXKYP78+Zr7J02ahJUrV2Lbtm2a0qXDhw8DAO7fv4+OHTvC2dkZ+fPnR+vWrREaGvrWeIgoNSZCRCbG3Nwc33//Pa5cuYKVK1fi4MGD+PLLL9M9vmvXrihcuDBOnz6Ns2fPYvTo0bC0tAQA3LlzB82aNUP79u1x8eJFrF+/HseOHcOQIUP0isnW1hYqlQpJSUmYP38+Zs+eje+++w4XL16Ev78/PvnkE9y6dQsA8P3332P79u3YsGEDbty4gdWrV8Pb2zvN6546dQoAsH//fjx+/BhbtmxJdUyHDh3w7NkzHDp0SLPv+fPn2LNnD7p27QoAOHr0KLp3747PP/8cV69exc8//4wVK1Zg6tSpGX6OoaGh2Lt3L6ysrDT7VCoVChcujI0bN+Lq1auYOHEixo4diw0bNgAARo4ciY4dO6JZs2Z4/PgxHj9+jNq1ayMxMRH+/v5wcHDA0aNHcfz4cdjb26NZs2ZISEjIcExEBBjl7PNEpi4wMFBYWFiIvHnzam6ffvppmsdu3LhRFChQQLO9fPly4eTkpNl2cHAQK1asSPPc3r17i379+unsO3r0qDA3NxexsbFpnvPm9W/evClKly4tqlevLoQQolChQmLq1Kk659SoUUMMGjRICCHE0KFDRePGjYVKpUrz+gDE1q1bhRBChISECADi3LlzOscEBgaK1q1ba7Zbt24tevXqpdn++eefRaFChURycrIQQogmTZqIadOm6Vzj119/FR4eHmnGIIQQQUFBwtzcXOTNm1fY2NhoZtKeM2dOuucIIcTgwYNF+/bt041V/dhlypTReQ3i4+OFra2t2Lt371uvT0S62EaIyEg1atQIP/30k2Y7b968AGTpyPTp03H9+nVER0cjKSkJcXFxeP36Nezs7FJdZ8SIEejTpw9+/fVXTfVOiRIlAMhqs4sXL2L16tWa44UQUKlUCAkJQbly5dKMLSoqCvb29lCpVIiLi0PdunXxyy+/IDo6Go8ePUKdOnV0jq9Tpw4uXLgAQFZrffTRRyhTpgyaNWuGli1bomnTpu/1WnXt2hV9+/bFjz/+CGtra6xevRqdOnWCubm55nkeP35cpwQoOTn5ra8bAJQpUwbbt29HXFwcfvvtN5w/fx5Dhw7VOWbhwoVYtmwZ7t27h9jYWCQkJKBKlSpvjffChQu4ffs2HBwcdPbHxcXhzp07mXgFiEwXEyEiI5U3b16ULFlSZ19oaChatmyJgQMHYurUqcifPz+OHTuG3r17IyEhIc0v9EmTJqFLly7YuXMndu/ejaCgIKxbtw5t27bFq1ev0L9/fwwbNizVeUWKFEk3NgcHBwQHB8Pc3BweHh6wtbUFAERHR7/zeVWrVg0hISHYvXs39u/fj44dO8LPzw+bNm1657npadWqFYQQ2LlzJ2rUqIGjR49i7ty5mvtfvXqFyZMno127dqnOtbGxSfe6VlZWmvfg22+/RYsWLTB58mRMmTIFALBu3TqMHDkSs2fPhq+vLxwcHDBr1iz8888/b4331atX8PHx0UlA1QylQTxRbsFEiMiEnD17FiqVCrNnz9aUdqjbo7xN6dKlUbp0aQwfPhydO3fG8uXL0bZtW1SrVg1Xr15NlXC9i7m5eZrnODo6olChQjh+/DgaNGig2X/8+HHUrFlT57iAgAAEBATg008/RbNmzfD8+XPkz59f53rq9jjJyclvjcfGxgbt2rXD6tWrcfv2bZQpUwbVqlXT3F+tWjXcuHFD7+f5pvHjx6Nx48YYOHCg5nnWrl0bgwYN0hzzZomOlZVVqvirVauG9evXw83NDY6Oju8VE5GpY2NpIhNSsmRJJCYm4ocffsDdu3fx66+/YtGiRekeHxsbiyFDhuDw4cP4999/cfz4cZw+fVpT5fXVV1/hxIkTGDJkCM6fP49bt25h27ZtejeWTmnUqFGYMWMG1q9fjxs3bmD06NE4f/48Pv/8cwDAnDlzsHbtWly/fh03b97Exo0b4e7unuYgkG5ubrC1tcWePXsQHh6OqKiodB+3a9eu2LlzJ5YtW6ZpJK02ceJErFq1CpMnT8aVK1dw7do1rFu3DuPHj9frufn6+uKDDz7AtGnTAAClSpXCmTNnsHfvXty8eRMTJkzA6dOndc7x9vbGxYsXcePGDURERCAxMRFdu3aFi4sLWrdujaNHjyIkJASHDx/GsGHD8ODBA71iIjJ5SjdSIqKsl1YDW7U5c+YIDw8PYWtrK/z9/cWqVasEAPHixQshhG5j5vj4eNGpUyfh5eUlrKysRKFChcSQIUN0GkKfOnVKfPTRR8Le3l7kzZtXfPDBB6kaO6f0ZmPpNyUnJ4tJkyYJT09PYWlpKSpXrix2796tuX/x4sWiSpUqIm/evMLR0VE0adJEBAcHa+5HisbSQgixZMkS4eXlJczNzUWDBg3SfX2Sk5OFh4eHACDu3LmTKq49e/aI2rVrC1tbW+Ho6Chq1qwpFi9enO7zCAoKEpUrV061f+3atcLa2lrcu3dPxMXFiR49eggnJyfh7OwsBg4cKEaPHq1z3pMnTzSvLwBx6NAhIYQQjx8/Ft27dxcuLi7C2tpaFC9eXPTt21dERUWlGxMRpWYmhBDKpmJEREREymDVGBEREZksJkJERERkspgIERERkcliIkREREQmi4kQERERmSwmQkRERGSymAgRERGRyWIiRERERCaLiRARERGZLCZCREREZLKYCBEREZHJYiJEREREJuv/+XGlBNrGVU8AAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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3N5ibmyMyMlJnkq2bmxtOnz6NHTt2YNu2bdi2bRsWL16M3r17a+tp3rw5rl27hg0bNuCPP/7ATz/9hJkzZ2L+/Pl4//33X1hLrVq1EBQU9MJ2//5FrNFooFKpsG3bNp3QmO1Fv3gLsr99+/Zhz5492LJlC7Zv345Vq1ahVatW+OOPP3LdpyHy2k52r0KXLl3w559/apeHhYXpTAQuV66c9uvXrl07uLi4YNiwYWjZsqW2l0Cj0aBWrVqYMWNGrvvy8vIqcL2PHz9GYGAgHBwcMHHiRPj6+sLa2honT57Ep59+Co1GU+BtvYy8eobymrCtVqtzDbCNGjWCj48PfvvtN/To0QObNm3C06dPdeZOZX+m5cuXw8PDI8c2DA1sv//+O9LS0jB9+nRMnz49x/srVqzIMV+sUqVKL/x5iYuLK9DEdTs7O+3PiaenJ7KyshAbGws3Nzdtm/T0dDx48KBAp7ZPnjwZn3zyCc6dOwdHR0fUqlVLe3LBvwPdv2V/Dz58+PCF+6HigUGIjCY1NRUdOnTA5cuXsWvXrlz/Nz5q1Cj85z//0b7O7jXw9fWFRqPB+fPn9bqGyOrVq/H6669j7dq1On9Qnu9yz2ZlZYUOHTqgQ4cO0Gg0GDJkCH744Qd88cUX2u780qVLo2/fvujbty+SkpLQvHlzjB8/vkBByFC+vr4QQqBChQr5/pL19fUFAJw9e7ZAget5ZmZmePPNN/Hmm29ixowZmDJlCsaOHYs9e/bkui1vb28AwKVLl3K8d/HiRbi4uOj0BhXE9OnT8ejRI+3rF/1BGjRoEGbOnInPP/8cnTt3hkqlgq+vL/7++2+8+eab+Q4tFeT7ae/evXjw4AHWrl2L5s2ba5e/7FlL/67jr7/+QkZGRp7XaMr+GXh+UjzwrFdOH927d8e3336LxMRErFq1Cj4+Pjq9EtnfQ25ubnp/D+VnxYoVqFmzZq4/dz/88AN++eUXgybOv/HGGwX6OkRERGiv8p19vI8fP4527dpp2xw/fhwajabAv1/+fVbnrl27UK5cOVStWjXf9bIvoppXryUVPzxrjIwiKysLISEhOHz4MH7//XcEBATk2q569eoICgrSPvz8/AAAnTp1gpmZGSZOnJjjf+L5zVPI7oV4vs1ff/2Fw4cP67R78OCBzmszMzPtkFf2adf/bmNnZ4eKFSvmelq2MXXp0gXm5uaYMGFCjs8qhNDWVb9+fVSoUAGzZs3K8Uczv69Rbv8zzf5jkNdn8/T0RN26dbF06VKdfZ09exZ//PGHzh+YgvLz89M59i8atrKwsMDHH3+MCxcuYMOGDQDkH/q7d+9iwYIFOdo/ffoUycnJAAr2/ZTb9056ejq+//57vT9bXrp27Yr4+HjMmTMnx3vZ+/X29oa5uTn27dun874hdYSEhCAtLQ1Lly7F9u3b0b17d533g4OD4eDggClTpuR6ZlNcXJz2eUFPn79z5w727duH7t274913383x6Nu3L65evYq//vpL78+zYsUK7Ny584WP3r17a9dp1aoVSpcujXnz5ulsa968eShVqhTat2+vXRYfH4+LFy++8DIPq1atwrFjx/DRRx9pe+MSExNz/PwIIfDll18CAC8C+gphjxAZxccff4yNGzeiQ4cOePjwIX7++Wed95/vBcpNxYoVMXbsWEyaNAnNmjVDly5doFarcezYMZQpUybHlVuzvf3221i7di06d+6M9u3b48aNG5g/fz6qV6+uc12P999/Hw8fPkSrVq1Qrlw53Lp1C7Nnz0bdunVRrVo1ADKktWjRAn5+fihdujSOHz+O1atXY9iwYS/51cmfr68vvvzyS4wZMwY3b95Ep06dYG9vjxs3bmDdunUYOHAgPvnkE5iZmWmvtly3bl307dsXnp6euHjxIs6dO4cdO3bkuv2JEydi3759aN++Pby9vREbG4vvv/8e5cqV0/kf7799/fXXaNu2LQICAtC/f388ffoUs2fPhqOjY6HdY6tPnz4YN24cpk2bhk6dOqFXr1747bffMHjwYOzZswdNmjRBVlYWLl68iN9++w07duzQTth90fdT48aN4ezsjLCwMAwfPhwqlQrLly/Xa4Lwi/Tu3RvLli1DeHg4jh49imbNmiE5ORm7du3CkCFD8M4778DR0RHdunXD7Nmztb1emzdv1s530kf9+vW1nz0tLS3HJQUcHBwwb9489OrVC/Xr18d7770HV1dX3L59G1u2bEGTJk20oS379Pl/D2H+2y+//AIhBDp27Jjr++3atYOFhQVWrFgBf39/vT6PoXOEJk2ahKFDh6Jbt24IDg7G/v378fPPP2Py5Mk6k//nzJmDCRMmYM+ePdp7GO7btw8TJ05E69at8dprr+HIkSNYvHgx2rRpgxEjRmjXPXnyJEJDQxEaGoqKFSvi6dOnWLduHQ4ePIiBAweifv36etdORaQIzlSjEigwMDDf01sLatGiRaJevXpCrVYLZ2dnERgYKHbu3Kmzn+dPn9doNGLKlCnC29tbqNVqUa9ePbF58+YcpzuvXr1atG7dWri5uQkrKytRvnx5MWjQIHH//n1tmy+//FI0bNhQODk5CRsbG1G1alUxefJkkZ6enm/NeV1Z+t+yTzPP6zT2NWvWiKZNmwpbW1tha2srqlatKoYOHSouXbqk0+7AgQPirbfeEvb29sLW1lbUrl1bzJ49O8d+skVFRYl33nlHlClTRlhZWYkyZcqI0NBQcfnyZW2b3E7VFkKIXbt2iSZNmggbGxvh4OAgOnToIM6fP1+gz7V48WIBQNy4cSPfr4sQuV9ZOtv48eN1Ti9PT08X06ZNEzVq1NB+n/j5+YkJEyaIhIQEnXVf9P108OBB0ahRI2FjYyPKlCkjRo0aJXbs2JHjdPaXubJ0SkqKGDt2rKhQoYKwtLQUHh4e4t133xXXrl3TtomLixNdu3YVpUqVEs7OzmLQoEHi7NmzuZ4+b2trm+/+xo4dKwCIihUr5tlmz549Ijg4WDg6Ogpra2vh6+sr+vTpI44fP65tU9DT52vVqiXKly+fb5sWLVoINzc3kZGRkeeVpY3txx9/FFWqVBFWVlbC19dXzJw5U+fSCUI8+959/lhfvXpVtG7dWri4uAi1Wi2qVq0qIiMjc1ym4/r166Jbt27Cx8dHWFtbi1KlSgk/Pz8xf/78HPuh4k0lhBH/+0NERET0CuEcISIiIlIsBiEiIiJSLAYhIiIiUiwGISIiIlIsBiEiIiJSLAYhIiIiUizFXVBRo9Hg3r17sLe3f6m7PxMREVHhEULgyZMnKFOmTJ43jDaE4oLQvXv39LoxIxERERUfd+7cQbly5Yy2PcUFIXt7ewDyC+ng4FDE1RAREVFBJCYmwsvLS/t33FgUF4Syh8McHBwYhIiIiF4xxp7WwsnSREREpFgMQkRERKRYDEJERESkWAxCREREpFgMQkRERKRYDEJERESkWAxCREREpFgMQkRERKRYDEJERESkWAxCREREpFhFGoT27duHDh06oEyZMlCpVFi/fv0L19m7dy/q168PtVqNihUrYsmSJSavk4iIiEqmIg1CycnJqFOnDubOnVug9jdu3ED79u3RsmVLnD59Gh999BHef/997Nixw8SVEhERUUlUpDddbdu2Ldq2bVvg9vPnz0eFChUwffp0AEC1atVw4MABzJw5E8HBwaYqk4iIiEqoV2qO0OHDhxEUFKSzLDg4GIcPH9Z7WytXAnfuGKsyIiIiehUVaY+QvqKjo+Hu7q6zzN3dHYmJiXj69ClsbGxyrJOWloa0tDTt68TERADAoEFAhQrAuXPAnj3A0aPArVvA3btApUrAnDmARiPDkpOTfCQnA7Gx8vHggXxoNLJ9lSryfQcH2ZaIiIiKv1cqCBkiMjISEyZMyPW9GzcAV1cZYJ63cyewaJEMOenp+u/Tzg4YNkw+3N2B1FTA2lpuz8rKgA9BREREJvFKDY15eHggJiZGZ1lMTAwcHBxy7Q0CgDFjxiAhIUH7uPOv8bDsXpx69YA2bZ4tT03NPQSpVDLouLnJ57lJSgKmTgXKlQMsLQF7e/mvWg2Ym8veI5UKuHpVd72UFLlfIYDnOrGQmSl7n65eBY4dA2JiZK/UnTuyXVaWDFkaTZ5fOiIiIsrFK9UjFBAQgK1bt+os27lzJwICAvJcR61WQ61W5/n+gAFAr15AqVLydfv2wP79QLVqcujM3h44c0aGGg8POexlYSEDjUolw8fTpzLEJCYCH34oQ0peNBrg8mX5vFIlGY7s7OS6GRk529vYyO3rw8dHhrFq1YCGDWVtWVky2KnVQM2aQFwcUKcO4Ows32vaVPZaERERKYlKCCGKaudJSUm4+v/dIvXq1cOMGTPQsmVLlC5dGuXLl8eYMWNw9+5dLFu2DIA8fb5mzZoYOnQo+vXrh927d2P48OHYsmVLgc8aS0xMhKOjI3r2TEC5cg7o2hUwM0G/WFoacPasDE4ZGTI8HT4sw8ivvwKPH+u/TXNzGVpMxdZWd5jQ2Vn2ltnZAZcuyaDk4AC89Rbw7ruAv79so1LJ2oiIiEwl++93QkICHBwcjLbdIg1Ce/fuRcuWLXMsDwsLw5IlS9CnTx/cvHkTe/fu1Vln5MiROH/+PMqVK4cvvvgCffr0KfA+s7+Qa9YkwNvbeF9Ifd26JeciOTsDLi5A6dKAo6Nc7uQke3SysuRzR0cZQNRqGToSE5/1YCUkyGEzGxsgOlr2Hu3bJ4OLk5MMMSoVcO8ecOUK4Okpe6xsbGR4SUyUQ3HG4uoqh/IePQJq1ZLBLz4eeOMNWUtamqzNy0v2uPn4yJ4xMzNZb4MG8rOqVHkPPRIRkfKUyCBUFIpLECouNBoZui5dkr1WyckyoLm5yYBUurTs0bp2Tc5Runs35+RyU7Gzk6EqNVUGpebNgfv35ZDepUuAr68cuvTwAAYOlMGufHkGKCKikohByEgYhIwjLQ148kQ+UlNlz9STJ7Kn6f59GbBSUoATJ2SIcXGRZ8xl91oBMrjExcn14uONW5+NjXy89po8c8/dXe4vOlo+d3GR71tYAGXKyMnsMTEyWKlUsp5q1WSw8vEBypaVnyO7p4phi4iocJkqCL1Sk6Wp+FCr5cPFJf92ffsWfJsajexxunlTvrazkyHp3Dn5XvZwX2KiDDDnzskgBchg8nykf/pUPh4+lEOCxubsLCfQp6bKYb+EBDncV62arNHaWtZkZSV71Gxs5PMaNWTwIiKi4oFBiIoNMzMZJry8dJc3b57/ekLI0JOZKc/Iu39fzk1KS5O9PNnzoG7flsGqbFkZYBIT5bBgqVIyyKhUsgfpwgVZS36XI3j0SD4A/YOWtbUMQ4mJ8gy+2FgZ+tLTAW9vWWtqqgxVVarIIJWWJvfn4QHUri3nUZUpIwMZIENp9tcCYI8VEVFBcWiMKB8ajQxP167JXh1ABpMzZ+Swn7MzcOqUnLCenCxfZwckd3cZqMzMZLB58MC0tVpYyDAI6AY5V1egbl3Ze+bjIyekOzoCr78OVK0qg6CDg/x8DFBEVFxxjpCRMAhRUREC+Ocf4MgR2VP19Kns6UlOls89PGSYuXlTXnrBzU2+zl7m4iJ7taytZbAyFWtrGfbq1JE1W1rKM/sSEnTnTKlUsnYrK1mrmZkMWOXLy8/CUEVExsQ5QkSvOJUq96E/fWVmyoASHy8vsZCYKCemW1vLR0qKbHP1quwFSkmRVyRPTJQBRgg5vyqva1Jlh6yTJ58tO3pU/zodHWV4cneXQ5B2djIglSoFBATIsPXkiZzAXr26bJcdoKytZX0uLnK95ye/Z1+h3czs2ZAgEZGh2CNEpFDZt3JJT5dB5c4dGZyuX5dB6vZt2ePj6iqXxcfL4FKu3LM5VzY2cv2sLBlYkpKK5rPY2QEdO8qLgv7zj+zFqlJF1taokazTy0vOr7Lgf/+IXkkcGjMSBiEi43v+t0hiIvC//z27NEJKigwk16/LIb5y5eRwmkYje6ZKl5avU1JkuCpTRvb2pKfLieSmGAq0sZG9Tw0ayDldVarISfZVq8oQlZgoz/BzdJTtrKyeDfkRUdHg0BgRFVvPzwdydASaNTPOdjWaZyErI0PemkajkT1W6elyLtWxY896pe7dk+/b2sp5WHZ2z84ozL7UAiCX3bghHwCwa1fBa7K2lkOM2UORV6/KniZXVzm8V7WqfL9SJXkphezraPFefkTFE4MQERVbz98H0Nw8Z49MxYpAp04F21ZGBnD8uJz7dOWK3N6DB3KeUUKCDDIajTxD0M1NDgsmJj47CzBbaqps87z9+/Pft0olQ5GbmwxnFSrIUFezprzWVe3act/Vq8ueKFdXGZx4Dz8i0+PQGBFRPrInlcfGAhcvyt6kJ09ksIqJkUNpsbFy+e3bz3qZjOH5CfAA0LWrHKLTaGQvk5ubvH9gdg9V6dLyQVQScWiMiKgIZPfKeHrKR0Glpz+7rlN2T5Sjo+xlOnZMDt9FR8swc+mSDDfm5rr38ktN1Z0f9euvBdt32bLyKu3e3vJGzr6+stfJ1lYGN29v+Tz7LD0vL6BePXmLGSKlYY8QEVExkX2V9IcP5b8PHsirpV+/LgNLdLQc1rO2lpchyL6VTPaE9Jfl7Cy3a2cn51TVqCF7oCpUkEHJ0RGoVUuGN6LCxh4hIqISTqWSQaRUKfm6UiV5+v+LZGbKx9278qrnyckyzERHy1BlZSUvK/DokVyekiLb/Huu0/O3jgHyn/tkZyevWO7qKs8EtLMDKleWvVre3rK3yd1dhiei4oxBiIjoFZd9BXJfX/nQl0Yjz8CLjZUB6d49eTmBy5fl0Jy5uexxevTo2VBdUhJw4EDBtl+2rJxP9dZb8srkDg5yaM7BQT6qVZNDd9kBkKgwMQgRESmcmZkMIi+SfZuYw4flmXb37slgdPq0DDaA7G2KjdVd7+5d+e+2bS/eh6en7MGysZFDcrVry+G5+vXlbV+y7/lHZCwMQkREVCAFvU2MRiPPqrt7V15c8/RpORE7+3IEKSkyUGVlPbtNTLb79589v3gxZ3iys5P7j4kBGjaUPUpCAH5+8kbCzZrxwpekH06WJiKiIpWRIYPRtWtygviVK3J5UpK8JEFCggw+BVWmjOxV8vCQ12YqXVr2KNWqJedd8R51ryZOliYiohLJ0lIOg1WokHebjAzZu3TjhrwkQEaGvFdefLyc13TxohziS02VQ3aAvKXLkSM5t2VhISeXV6ggz7rr2FHeZqVuXXmmnLu7KT4lFVcMQkREVOxZWsrhLz+//NudPAls3Sp7kVJSZC+Ts/OzXibg2fWdsi9++eOPuttwcZG9Ss7OcqK4v7+8dUrFinI4jjfuLVl4OImIqMSoX18+cpOYKCdyJybKHqSHD+Xzu3fl0FtsrAxP8fHykW33bt3teHrKoFSrFtC9uzwbjuHo1cU5QkRERJCTru/ckZcFSE4Gzp+Xyx4+lM9f5PXXgSZNgPbt5X3kqlbl/eKMyVRzhBiEiIiICiA1FfjrL3l9pa1bZWjKj6WlPOW/ShUZjOrVA1q1kstJfwxCRsIgRERExpKaCqxfL2+DcuGCHGJ7+FBeaiC3v652dvICku7ucoitShVg8OBn12GivDEIGQmDEBERmVpKCrBzp5yLdOvWs6t1Z2Xl3r5uXRmS6tcHBgyQZ6+pVIVacrHHIGQkDEJERFQUUlOBTZtkKIqPf3YT3aSknG0tLOTp/QEBQLt2QOfO8tpISsYgZCQMQkREVFwIAfz+O/D33/Kikg8fyoD077/MNjbyXmwhIfIikQMHKm+uEYOQkTAIERFRcZaYKO/ndumSHFo7efLZtY+yWVsDb78NdOgAdOumjHuwMQgZCYMQERG9SjQaYMUKOSH73Dn57/PMzOSp+6+9Bnz4IfDeeyXztH0GISNhECIioldZSgqwcKE8S+3CBeDJk5xtvL2B//wHmDSp5Ey6ZhAyEgYhIiIqKYSQF4DcsUOGolu3crbp0wcYPlxex+hVxiBkJAxCRERUUqWlAWvXAsuXy1uG/Fv37sCoUS++Z1txxCBkJAxCRESkBJcvA2vWyMe/1awJtGghT8/v3v3VuFcag5CRMAgREZHSHD8O/PGHPE3/2rWc74eGAtOny6tdF1cMQkbCIEREREq2cyewbRtw6FDO0/I7dQLCwuRp+cXtzDNTBSEzo22JiIiIir233gJmzACOHJGBqGNHIDtXrF8vr2Lt7AyMGZP7/dJKGgYhIiIihXJ1BcaNA6KigPDwZ7fxePIEmDpVBqRt24q2RlNjECIiIlI4lQro0UMOl0VFAVWryuVJSfJeZ66uwK+/Fm2NpsIgRERERFqOjsDPP8tT8H185LL4eBmUKlUCfvmlSMszOgYhIiIiyqFaNWD1auDjj4EqVeSyq1eBnj2Brl2BrKyirc9YGISIiIgoT6Gh8l5nCxbI6w8B8qKNFhbAn38WbW3GwCBEREREL1SvHrB4MdCy5bNlLVoA77zzap9dxiBEREREBaJSAV9/rXu16o0bARcX4PHjIivrpTAIERERkV68veV1iPz95euHD+W1hzZuLNq6DMEgRERERHqzsADmzpWn12d75x1g2bKiq8kQDEJERERksIkTgUWLACcn+TosDPjxxyItSS8MQkRERPRSateWZ5LZ28vXgwbJnqJ/38usOGIQIiIiopfm4ABs2PDsIozbtslbdhw5UqRlvRCDEBERERmFg4O8CGPnzvK1EPImr2fOFG1d+WEQIiIiIqMaO1ZegBGQ9yurXVvezb44YhAiIiIio6tXT55Vlm3qVGDKlKKrJy8MQkRERGQS/v5yrpC7u3w9dixw8WLR1vRvDEJERERkMq6uwLp1gLm5fF2rFnD/ftHW9DwGISIiIjIpKytg/nz5PDMTaNq0aOt5HoMQERERmVy9esC4cfL59evFJwwxCBEREVGh6NgRCAiQzw8eBKKiirYegEGIiIiICtGMGYCdnXweEgIkJhZtPQxCREREVGgsLYGff5Y3bX3wAPDzkxdeLCoMQkRERFSoypWTPUOWlsDVq8D77xddLQxCREREVOgaNwaaNZPPFy0CrlwpmjqKPAjNnTsXPj4+sLa2hr+/P44ePZpv+1mzZqFKlSqwsbGBl5cXRo4cidTU1EKqloiIiIxl0qRnz1u2LJoaijQIrVq1CuHh4YiIiMDJkydRp04dBAcHIzY2Ntf2v/zyC0aPHo2IiAhcuHABCxcuxKpVq/DZZ58VcuVERET0stRq4Icf5Hyhu3eBHj0Kv4YiDUIzZszAgAED0LdvX1SvXh3z589HqVKlsGjRolzbHzp0CE2aNEGPHj3g4+OD1q1bIzQ09IW9SERERFQ8+fnJawwB8grUhX3V6SILQunp6Thx4gSCgoKeFWNmhqCgIBw+fDjXdRo3bowTJ05og8/169exdetWtGvXLs/9pKWlITExUedBRERExcfs2bJ3KDUVaNSocPddZEEoPj4eWVlZcM++E9v/c3d3R3R0dK7r9OjRAxMnTkTTpk1haWkJX19ftGjRIt+hscjISDg6OmofXl5eRv0cRERE9HIsLICBA+Xz27flbTgKS5FPltbH3r17MWXKFHz//fc4efIk1q5diy1btmDS87Ot/mXMmDFISEjQPu7cuVOIFRMREVFBhIY+e16YU38tCm9XulxcXGBubo6YmBid5TExMfDw8Mh1nS+++AK9evXC+/9/wYFatWohOTkZAwcOxNixY2FmljPXqdVqqNVq438AIiIiMhorK3n/sQMHgD//LLz9FlmPkJWVFfz8/BD13I1GNBoNoqKiEJB9I5J/SUlJyRF2zM3NAQCiKC9LSURERC/tnXfkv0ePynuRFYYiHRoLDw/HggULsHTpUly4cAEffPABkpOT0bdvXwBA7969MWbMGG37Dh06YN68eVi5ciVu3LiBnTt34osvvkCHDh20gYiIiIheTS1bAr6+8vmAAYWzzyIbGgOAkJAQxMXFYdy4cYiOjkbdunWxfft27QTq27dv6/QAff7551CpVPj8889x9+5duLq6okOHDpg8eXJRfQQiIiIyopYtgWvXgAsX5D3IVCrT7k8lFDamlJiYCEdHR6xZkwBvb4eiLoeIiIiek5QEtGghn0+ZAmQPDGX//U5ISICDg/H+fr9SZ40RERFRyWZnB9SvL59/+63p98cgRERERMXK/08VRlyc7CEyJQYhIiIiKlYaNQLs7QGNBnjvPdPui0GIiIiIihWV6tmtNp67yo5JMAgRERFRsTNypPw3NRUw5cnhDEJERERU7Li5ARUqyOe//GK6/TAIERERUbHUsqX8Ny7OdPtgECIiIqJi6d135b9xccDx46bZB4MQERERFUtubkD2HbR+/NE0+2AQIiIiomLLz0/+e+eOabbPIERERETFVuXK8t9Dh0yzfQYhIiIiKraye4RMhUGIiIiIiq3s+46ZCoMQERERFVu2toClpem2zyBERERExZqZCdMKgxAREREVa6YcHmMQIiIiomKtbFnTbZtBiIiIiIo1T0/TbZtBiIiIiIq1atVMt20GISIiIirWypc33bYZhIiIiKhYc3c33bYZhIiIiKhYU6kAJyfTbJtBiIiIiIo9GxvTbNfCNJst/szTkmH21DzHcmFmDqG21r42e5qc5zaEygzC2sagtqrUFKiEyKOtCsK6lIFtn0IlNHnWobGxNaxtWipUmizjtLUuJeM9AFV6GlRZmcZpq7bRXnVLlZEOVWaGcdpaWQPm5nq3RWYGzDLS825rqQYsLAxomwmzjLR82loBFpb6t83Kgll6ap5thYUlhKWV/m01GpilPTVOW3MLCCv1/78QMEtNMU5bfX7u+Tsi97b8HaF3W/6O0O93hJVVnk1ejlCYhIQEAUAkAELk8njcpJ04flxoH5nWpXJtJwCRWD9Qp226k0uebZOqN9Bpm+rpnWfblNer67RNeb16nm1TPb112iZVb5Bn23QnF522ifUD82ybaV1Kp+3jJu3ybCsAnbYP33w337Yn9ydp28a9HZZv29M7Y7VtY7oNybft/zbe0La93+uTfNueXXVW2/bugIh8255felTb9s7wr/Jte3H+Hm3bW6Pm5Nv28qzN2rY3Ihbn2/bq1N+0ba9O/S3ftjciFmvbXp61Od+2t0bN0ba9OH9Pvm3vDP9K2/b80qP5tr07IELb9uyqs/m2vd/rE23b/228kW/bmG5DtG1P74zNt23c22Hatif3J+Xb9uGb7+p8D+fXlr8j5IO/I549+DtCPkz9O8LX9///fickGDUXcGiMiIiIir0mTUyzXZUQQphm08VTYmIiHB0dsf6Xeyjv5ZDjfXZ759GW3d56t2W3N4fG+DvCwLb8HSHb8neETtukpES0aOGIhIQEODjk/PttKMUGoTVrEuDtbbwvJBEREZmOqYIQh8aIiIhIsRiEiIiISLEYhIiIiEixGISIiIhIsRiEiIiISLEYhIiIiEixGISIiIhIsRiEiIiISLEYhIiIiEixGISIiIhIsRiEiIiISLEYhIiIiEixLAxdMSMjA9HR0UhJSYGrqytKly5tzLqIiIiITE6vHqEnT55g3rx5CAwMhIODA3x8fFCtWjW4urrC29sbAwYMwLFjx0xVKxEREZFRFTgIzZgxAz4+Pli8eDGCgoKwfv16nD59GpcvX8bhw4cRERGBzMxMtG7dGm3atMGVK1dMWTcRERHRSyvw0NixY8ewb98+1KhRI9f3GzZsiH79+mH+/PlYvHgx9u/fj0qVKhmtUCIiIiJjK3AQ+vXXXwvUTq1WY/DgwQYXRERERFRY9Joj9O6772L79u0QQpiqHiIiIqJCo1cQevToEdq3b4/y5ctj3LhxuH79uqnqIiIiIjI5vYJQVFQUrl+/jv79++Pnn39GpUqV0KpVK/zyyy9IS0szVY1EREREJqH3BRW9vb0xfvx4XL9+HTt37kSZMmUwYMAAeHp6YujQoThx4oQp6iQiIiIyupe6snSrVq3w888/Izo6GpGRkVi5ciX8/f2NVRsRERGRSRl8ZelsN27cwJIlS7BkyRIkJCQgKCjIGHURERERmZxBPUKpqan4+eef0apVK1SqVAnLli1D//79cePGDWzfvt3YNRIRERGZhF49QkePHsWiRYuwatUqpKamonPnzti+fTvefPNNqFQqU9VIREREZBJ6BaFGjRqhTp06mDRpEnr27AlnZ2dT1UVERERkcnoFoePHj6N+/fqmqoWIiIioUOk1R6hq1ar44IMPULZsWbi6uuK9995DXFycqWojIiIiMim9gtDnn3+O5cuX4+2330aPHj2we/duDBw40FS1EREREZmUXkNj69atw+LFi9GtWzcAQO/evdGoUSNkZmbCwuKlz8QnIiIiKlR69Qj9888/aNKkifa1n58fLC0tce/ePaMXRkRERGRqegUhjUYDS0tLnWUWFhbIysoyuIC5c+fCx8cH1tbW8Pf3x9GjR/Nt//jxYwwdOhSenp5Qq9WoXLkytm7davD+iYiISLn0Gs8SQuDNN9/UGQZLSUlBhw4dYGVlpV128uTJAm1v1apVCA8Px/z58+Hv749Zs2YhODgYly5dgpubW4726enpeOutt+Dm5obVq1ejbNmyuHXrFpycnPT5GEREREQA9AxCEREROZa98847Bu98xowZGDBgAPr27QsAmD9/PrZs2YJFixZh9OjROdovWrQIDx8+xKFDh7Q9Uz4+Pgbvn4iIiJTtpYOQodLT03HixAmMGTNGu8zMzAxBQUE4fPhwruts3LgRAQEBGDp0KDZs2ABXV1f06NEDn376KczNzY1WGxERESmD3qd6HTlyBJs2bUJ6ejrefPNNtGnTxqAdx8fHIysrC+7u7jrL3d3dcfHixVzXuX79Onbv3o2ePXti69atuHr1KoYMGYKMjIw8Q1paWhrS0tK0rxMTEw2ql4iIiEoevSZLr169Gk2aNMG3336Ln376Ce3bt8c333xjqtpy0Gg0cHNzw48//gg/Pz+EhIRg7NixmD9/fp7rREZGwtHRUfvw8vIqtHqJiIioeNMrCEVGRmLAgAFISEjAo0eP8OWXX2LKlCkG7djFxQXm5uaIiYnRWR4TEwMPD49c1/H09ETlypV1hsGqVauG6OhopKen57rOmDFjkJCQoH3cuXPHoHqJiIio5NErCF26dAmffPKJNoh8/PHHePLkCWJjY/XesZWVFfz8/BAVFaVdptFoEBUVhYCAgFzXadKkCa5evQqNRqNddvnyZXh6euqctfY8tVoNBwcHnQcRERERoGcQSklJ0QkSVlZWsLa2RlJSkkE7Dw8Px4IFC7B06VJcuHABH3zwAZKTk7VnkfXu3VtnMvUHH3yAhw8fYsSIEbh8+TK2bNmCKVOmYOjQoQbtn4iIiJRN78nSP/30E+zs7LSvMzMzsWTJEri4uGiXDR8+vEDbCgkJQVxcHMaNG4fo6GjUrVsX27dv106gvn37NszMnmU1Ly8v7NixAyNHjkTt2rVRtmxZjBgxAp9++qm+H4OIiIgIKiGEKGhjHx8fqFSq/DeoUuH69esvXZipJCYmwtHREWvWJMDbm8NkREREr4KkpES0aOGIhIQEo05z0atH6ObNm0bbMREREVFR02uOEBEREVFJUuAgtHLlygJv9M6dOzh48KBBBREREREVlgIHoXnz5qFatWr46quvcOHChRzvJyQkYOvWrejRowfq16+PBw8eGLVQIiIiImMr8ByhP//8Exs3bsTs2bMxZswY2Nrawt3dHdbW1nj06BGio6Ph4uKCPn364OzZszlunUFERERU3Og1Wbpjx47o2LEj4uPjceDAAdy6dQtPnz6Fi4sL6tWrh3r16umc7k5ERERUnOl9HSFA3h6jU6dORi6FiIiIqHCx+4aIiIgUi0GIiIiIFItBiIiIiBSLQYiIiIgUi0GIiIiIFMugs8aysrKwZMkSREVFITY2FhqNRuf93bt3G6U4IiIiIlMyKAiNGDECS5YsQfv27VGzZs0X3pGeiIiIqDgyKAitXLkSv/32G9q1a2fseoiIiIgKjUFzhKysrFCxYkVj10JERERUqAwKQh9//DG+/fZbCCGMXQ8RERFRoTFoaOzAgQPYs2cPtm3bhho1asDS0lLn/bVr1xqlOCIiIiJTMigIOTk5oXPnzsauhYiIiKhQGRSEFi9ebOw6iIiIiAqdQUEoW1xcHC5dugQAqFKlClxdXY1SFBEREVFhMGiydHJyMvr16wdPT080b94czZs3R5kyZdC/f3+kpKQYu0YiIiIikzAoCIWHh+PPP//Epk2b8PjxYzx+/BgbNmzAn3/+iY8//tjYNRIRERGZhEFDY2vWrMHq1avRokUL7bJ27drBxsYG3bt3x7x584xVHxEREZHJGNQjlJKSAnd39xzL3dzcODRGRERErwyDglBAQAAiIiKQmpqqXfb06VNMmDABAQEBRiuOiIiIyJQMGhr79ttvERwcjHLlyqFOnToAgL///hvW1tbYsWOHUQskIiIiMhWDglDNmjVx5coVrFixAhcvXgQAhIaGomfPnrCxsTFqgURERESmYvB1hEqVKoUBAwYYsxYiIiKiQlXgILRx40a0bdsWlpaW2LhxY75tO3bs+NKFEREREZlagYNQp06dEB0dDTc3N3Tq1CnPdiqVCllZWcaojYiIiMikChyENBpNrs+JiIiIXlUGnT6fm8ePHxtrU0RERESFwqAgNG3aNKxatUr7ulu3bihdujTKli2Lv//+22jFEREREZmSQUFo/vz58PLyAgDs3LkTu3btwvbt29G2bVv897//NWqBRERERKZi0Onz0dHR2iC0efNmdO/eHa1bt4aPjw/8/f2NWiARERGRqRjUI+Ts7Iw7d+4AALZv346goCAAgBCCZ4wRERHRK8OgHqEuXbqgR48eqFSpEh48eIC2bdsCAE6dOoWKFSsatUAiIiIiUzEoCM2cORM+Pj64c+cOvvrqK9jZ2QEA7t+/jyFDhhi1QCIiIiJTUQkhRFEXUZgSExPh6OiINWsS4O3tUNTlEBERUQEkJSWiRQtHJCQkwMHBeH+/eYsNIiIiUizeYoOIiIgUi7fYICIiIsUy2i02iIiIiF41BgWh4cOH47vvvsuxfM6cOfjoo49etiYiIiKiQmFQEFqzZg2aNGmSY3njxo2xevXqly6KiIiIqDAYFIQePHgAR0fHHMsdHBwQHx//0kURERERFQaDglDFihWxffv2HMu3bduG119//aWLIiIiIioMBl1ZOjw8HMOGDUNcXBxatWoFAIiKisL06dMxa9YsY9ZHREREZDIGBaF+/fohLS0NkydPxqRJkwAAPj4+mDdvHnr37m3UAomIiIhM5aVvsREXFwcbGxvt/caKO95ig4iI6NVjqltsGHwdoczMTOzatQtr165Fdpa6d+8ekpKSjFYcERERkSkZNDR269YttGnTBrdv30ZaWhreeust2NvbY9q0aUhLS8P8+fONXScRERGR0RnUIzRixAg0aNAAjx49go2NjXZ5586dERUVZbTiiIiIiEzJoB6h/fv349ChQ7CystJZ7uPjg7t37xqlMCIiIiJTM6hHSKPR5HqH+X/++Qf29vYvXRQRERFRYTAoCLVu3VrnekEqlQpJSUmIiIhAu3btjFUbERERkUkZNDT2zTffoE2bNqhevTpSU1PRo0cPXLlyBS4uLvj111+NXSMRERGRSRgUhLy8vPD3339j1apV+Pvvv5GUlIT+/fujZ8+eOpOniYiIiIozvYNQRkYGqlatis2bN6Nnz57o2bOnKeoiIiIiMjm95whZWloiNTXVqEXMnTsXPj4+sLa2hr+/P44ePVqg9VauXAmVSoVOnToZtR4iIiJSBoMmSw8dOhTTpk1DZmbmSxewatUqhIeHIyIiAidPnkSdOnUQHByM2NjYfNe7efMmPvnkEzRr1uylayAiIiJlMuheY9kXTrSzs0OtWrVga2ur8/7atWsLvC1/f3+88cYbmDNnDgB5ar6Xlxc+/PBDjB49Otd1srKy0Lx5c/Tr1w/79+/H48ePsX79+gLtj/caIyIievWY6l5jBk2WdnJyQteuXV965+np6Thx4gTGjBmjXWZmZoagoCAcPnw4z/UmTpwINzc39O/fH/v37893H2lpaUhLS9O+TkxMfOm6iYiIqGQwKAgtXrzYKDuPj49HVlYW3N3ddZa7u7vj4sWLua5z4MABLFy4EKdPny7QPiIjIzFhwoSXLZWIiIhKIL3mCGk0GkybNg1NmjTBG2+8gdGjR+Pp06emqi2HJ0+eoFevXliwYAFcXFwKtM6YMWOQkJCgfdy5c8fEVRIREdGrQq8eocmTJ2P8+PEICgqCjY0Nvv32W8TGxmLRokUG7dzFxQXm5uaIiYnRWR4TEwMPD48c7a9du4abN2+iQ4cO2mUajQYAYGFhgUuXLsHX11dnHbVaDbVabVB9REREVLLp1SO0bNkyfP/999ixYwfWr1+PTZs2YcWKFdowoi8rKyv4+fnp3LFeo9EgKioKAQEBOdpXrVoVZ86cwenTp7WPjh07omXLljh9+jS8vLwMqoOIiIiUSa8eodu3b+vcSywoKAgqlQr37t1DuXLlDCogPDwcYWFhaNCgARo2bIhZs2YhOTkZffv2BQD07t0bZcuWRWRkJKytrVGzZk2d9Z2cnAAgx3IiIiKiF9ErCGVmZsLa2lpnmaWlJTIyMgwuICQkBHFxcRg3bhyio6NRt25dbN++XTuB+vbt2zAzM+hyR0RERET50us6QmZmZmjbtq3OnJtNmzahVatWOtcS0uc6QoWN1xEiIiJ69RSL6wiFhYXlWPaf//zHaMUQERERFSa9gpCxrh9EREREVBxw8g0REREpFoMQERERKRaDEBERESkWgxAREREpFoMQERERKRaDEBERESkWgxAREREpFoMQERERKRaDEBERESkWgxAREREpFoMQERERKRaDEBERESkWgxAREREpFoMQERERKRaDEBERESkWgxAREREpFoMQERERKRaDEBERESkWgxAREREpFoMQERERKRaDEBERESkWgxAREREpFoMQERERKRaDEBERESkWgxAREREpFoMQERERKRaDEBERESkWgxAREREpFoMQERERKRaDEBERESkWgxAREREpFoMQERERKRaDEBERESkWgxAREREpFoMQERERKRaDEBERESkWgxAREREpFoMQERERKRaDEBERESkWgxAREREpFoMQERERKRaDEBERESkWgxAREREpFoMQERERKRaDEBERESkWgxAREREpFoMQERERKRaDEBERESkWgxAREREpFoMQERERKRaDEBERESkWgxAREREpFoMQERERKRaDEBERESkWgxAREREpFoMQERERKRaDEBERESlWsQhCc+fOhY+PD6ytreHv74+jR4/m2XbBggVo1qwZnJ2d4ezsjKCgoHzbExEREeWlyIPQqlWrEB4ejoiICJw8eRJ16tRBcHAwYmNjc22/d+9ehIaGYs+ePTh8+DC8vLzQunVr3L17t5ArJyIioledSgghirIAf39/vPHGG5gzZw4AQKPRwMvLCx9++CFGjx79wvWzsrLg7OyMOXPmoHfv3i9sn5iYCEdHR6xZkwBvb4eXrp+IiIhMLykpES1aOCIhIQEODsb7+12kPULp6ek4ceIEgoKCtMvMzMwQFBSEw4cPF2gbKSkpyMjIQOnSpXN9Py0tDYmJiToPIiIiIqCIg1B8fDyysrLg7u6us9zd3R3R0dEF2sann36KMmXK6ISp50VGRsLR0VH78PLyeum6iYiIqGQo8jlCL2Pq1KlYuXIl1q1bB2tr61zbjBkzBgkJCdrHnTt3CrlKIiIiKq4sinLnLi4uMDc3R0xMjM7ymJgYeHh45LvuN998g6lTp2LXrl2oXbt2nu3UajXUarVR6iUiIqKSpUh7hKysrODn54eoqCjtMo1Gg6ioKAQEBOS53ldffYVJkyZh+/btaNCgQWGUSkRERCVQkfYIAUB4eDjCwsLQoEEDNGzYELNmzUJycjL69u0LAOjduzfKli2LyMhIAMC0adMwbtw4/PLLL/Dx8dHOJbKzs4OdnV2RfQ4iIiJ69RR5EAoJCUFcXBzGjRuH6Oho1K1bF9u3b9dOoL59+zbMzJ51XM2bNw/p6el49913dbYTERGB8ePHF2bpRERE9Ior8usIFTZeR4iIiOjVUyKvI0RERERUlBiEiIiISLEYhIiIiEixGISIiIhIsRiEiIiISLEYhIiIiEixGISIiIhIsRiEiIiISLEYhIiIiEixGISIiIhIsRiEiIiISLEYhIiIiEixGISIiIhIsRiEiIiISLEYhIiIiEixGISIiIhIsRiEiIiISLEYhIiIiEixGISIiIhIsRiEiIiISLEYhIiIiEixGISIiIhIsRiEiIiISLEYhIiIiEixGISIiIhIsRiEiIiISLEYhIiIiEixGISIiIhIsRiEiIiISLEYhIiIiEixGISIiIhIsRiEiIiISLEYhIiIiEixGISIiIhIsRiEiIiISLEYhIiIiEixGISIiIhIsRiEiIiISLEYhIiIiEixGISIiIhIsRiEiIiISLEYhIiIiEixGISIiIhIsRiEiIiISLEYhIiIiEixGISIiIhIsRiEiIiISLEYhIiIiEixGISIiIhIsRiEiIiISLEYhIiIiEixGISIiIhIsRiEiIiISLEYhIiIiEixGISIiIhIsRiEiIiISLEYhIiIiEixGISIiIhIsRiEiIiISLGKRRCaO3cufHx8YG1tDX9/fxw9ejTf9r///juqVq0Ka2tr1KpVC1u3bi2kSomIiKgkKfIgtGrVKoSHhyMiIgInT55EnTp1EBwcjNjY2FzbHzp0CKGhoejfvz9OnTqFTp06oVOnTjh79mwhV05ERESvOpUQQhRlAf7+/njjjTcwZ84cAIBGo4GXlxc+/PBDjB49Okf7kJAQJCcnY/PmzdpljRo1Qt26dTF//vwX7i8xMRGOjo5YsyYB3t4OxvsgREREZDJJSYlo0cIRCQkJcHAw3t/vIu0RSk9Px4kTJxAUFKRdZmZmhqCgIBw+fDjXdQ4fPqzTHgCCg4PzbE9ERESUF4ui3Hl8fDyysrLg7u6us9zd3R0XL17MdZ3o6Ohc20dHR+faPi0tDWlpadrXCQkJAIB79xJfpnQiIiIqRCkp8u+2sQeyijQIFYbIyEhMmDAhx/IPP/QqgmqIiIjoZTx48ACOjo5G216RBiEXFxeYm5sjJiZGZ3lMTAw8PDxyXcfDw0Ov9mPGjEF4eLj29ePHj+Ht7Y3bt28b9QtJ+ktMTISXlxfu3Llj1PFeMgyPR/HBY1F88FgUHwkJCShfvjxKly5t1O0WaRCysrKCn58foqKi0KlTJwBysnRUVBSGDRuW6zoBAQGIiorCRx99pF22c+dOBAQE5NperVZDrVbnWO7o6Mhv6mLCwcGBx6IY4fEoPngsig8ei+LDzMy405uLfGgsPDwcYWFhaNCgARo2bIhZs2YhOTkZffv2BQD07t0bZcuWRWRkJABgxIgRCAwMxPTp09G+fXusXLkSx48fx48//liUH4OIiIheQUUehEJCQhAXF4dx48YhOjoadevWxfbt27UTom/fvq2T/ho3boxffvkFn3/+OT777DNUqlQJ69evR82aNYvqIxAREdErqsiDEAAMGzYsz6GwvXv35ljWrVs3dOvWzaB9qdVqRERE5DpcRoWLx6J44fEoPngsig8ei+LDVMeiyC+oSERERFRUivwWG0RERERFhUGIiIiIFItBiIiIiBSLQYiIiIgUq0QGoblz58LHxwfW1tbw9/fH0aNH823/+++/o2rVqrC2tkatWrWwdevWQqq05NPnWCxYsADNmjWDs7MznJ2dERQU9MJjR/rR92cj28qVK6FSqbQXPqWXp++xePz4MYYOHQpPT0+o1WpUrlyZv6uMRN9jMWvWLFSpUgU2Njbw8vLCyJEjkZqaWkjVllz79u1Dhw4dUKZMGahUKqxfv/6F6+zduxf169eHWq1GxYoVsWTJEv13LEqYlStXCisrK7Fo0SJx7tw5MWDAAOHk5CRiYmJybX/w4EFhbm4uvvrqK3H+/Hnx+eefC0tLS3HmzJlCrrzk0fdY9OjRQ8ydO1ecOnVKXLhwQfTp00c4OjqKf/75p5ArL5n0PR7Zbty4IcqWLSuaNWsm3nnnncIptoTT91ikpaWJBg0aiHbt2okDBw6IGzduiL1794rTp08XcuUlj77HYsWKFUKtVosVK1aIGzduiB07dghPT08xcuTIQq685Nm6dasYO3asWLt2rQAg1q1bl2/769evi1KlSonw8HBx/vx5MXv2bGFubi62b9+u135LXBBq2LChGDp0qPZ1VlaWKFOmjIiMjMy1fffu3UX79u11lvn7+4tBgwaZtE4l0PdY/FtmZqawt7cXS5cuNVWJimLI8cjMzBSNGzcWP/30kwgLC2MQMhJ9j8W8efPE66+/LtLT0wurRMXQ91gMHTpUtGrVSmdZeHi4aNKkiUnrVJqCBKFRo0aJGjVq6CwLCQkRwcHBeu2rRA2Npaen48SJEwgKCtIuMzMzQ1BQEA4fPpzrOocPH9ZpDwDBwcF5tqeCMeRY/FtKSgoyMjKMfoM9JTL0eEycOBFubm7o379/YZSpCIYci40bNyIgIABDhw6Fu7s7atasiSlTpiArK6uwyi6RDDkWjRs3xokTJ7TDZ9evX8fWrVvRrl27QqmZnjHW3+9icWVpY4mPj0dWVpb29hzZ3N3dcfHixVzXiY6OzrV9dHS0yepUAkOOxb99+umnKFOmTI5vdNKfIcfjwIEDWLhwIU6fPl0IFSqHIcfi+vXr2L17N3r27ImtW7fi6tWrGDJkCDIyMhAREVEYZZdIhhyLHj16ID4+Hk2bNoUQApmZmRg8eDA+++yzwiiZnpPX3+/ExEQ8ffoUNjY2BdpOieoRopJj6tSpWLlyJdatWwdra+uiLkdxnjx5gl69emHBggVwcXEp6nIUT6PRwM3NDT/++CP8/PwQEhKCsWPHYv78+UVdmuLs3bsXU6ZMwffff4+TJ09i7dq12LJlCyZNmlTUpZGBSlSPkIuLC8zNzRETE6OzPCYmBh4eHrmu4+HhoVd7KhhDjkW2b775BlOnTsWuXbtQu3ZtU5apGPoej2vXruHmzZvo0KGDdplGowEAWFhY4NKlS/D19TVt0SWUIT8bnp6esLS0hLm5uXZZtWrVEB0djfT0dFhZWZm05pLKkGPxxRdfoFevXnj//fcBALVq1UJycjIGDhyIsWPH6twknEwrr7/fDg4OBe4NAkpYj5CVlRX8/PwQFRWlXabRaBAVFYWAgIBc1wkICNBpDwA7d+7Msz0VjCHHAgC++uorTJo0Cdu3b0eDBg0Ko1RF0Pd4VK1aFWfOnMHp06e1j44dO6Jly5Y4ffo0vLy8CrP8EsWQn40mTZrg6tWr2jAKAJcvX4anpydD0Esw5FikpKTkCDvZAVXw1p2Fymh/v/Wbx138rVy5UqjVarFkyRJx/vx5MXDgQOHk5CSio6OFEEL06tVLjB49Wtv+4MGDwsLCQnzzzTfiwoULIiIigqfPG4m+x2Lq1KnCyspKrF69Wty/f1/7ePLkSVF9hBJF3+PxbzxrzHj0PRa3b98W9vb2YtiwYeLSpUti8+bNws3NTXz55ZdF9RFKDH2PRUREhLC3txe//vqruH79uvjjjz+Er6+v6N69e1F9hBLjyZMn4tSpU+LUqVMCgJgxY4Y4deqUuHXrlhBCiNGjR4tevXpp22efPv/f//5XXLhwQcydO5enz2ebPXu2KF++vLCyshINGzYUR44c0b4XGBgowsLCdNr/9ttvonLlysLKykrUqFFDbNmypZArLrn0ORbe3t4CQI5HRERE4RdeQun7s/E8BiHj0vdYHDp0SPj7+wu1Wi1ef/11MXnyZJGZmVnIVZdM+hyLjIwMMX78eOHr6yusra2Fl5eXGDJkiHj06FHhF17C7NmzJ9e/Adlf/7CwMBEYGJhjnbp16worKyvx+uuvi8WLF+u9X5UQ7MsjIiIiZSpRc4SIiIiI9MEgRERERIrFIERERESKxSBEREREisUgRERERIrFIERERESKxSBEREREisUgREQmo1KpsH79egDAzZs3oVKpXng3+0uXLsHDwwNPnjwxfYEFtHfvXqhUKjx+/Djfdj4+Ppg1a1aBt9uiRQt89NFHL1VbfHw83Nzc8M8//7zUdoiUikGIqATq06cPVCoVVCoVLC0tUaFCBYwaNQqpqalFXdoLjRkzBh9++CHs7e21yxYsWIA6derAzs4OTk5OqFevHiIjIwutpsaNG+P+/ftwdHQEACxZsgROTk452h07dgwDBw4s8HbXrl2rc9dyfYMUIG8c2rt3b0REROi1HhFJJeru80T0TJs2bbB48WJkZGTgxIkTCAsLg0qlwrRp04q6tDzdvn0bmzdvxuzZs7XLFi1ahI8++gjfffcdAgMDkZaWhv/97384e/ZsodVlZWWV593In+fq6qrXdkuXLm1oSTr69u0LPz8/fP3110bbJpFSsEeIqIRSq9Xw8PCAl5cXOnXqhKCgIOzcuVP7vkajQWRkJCpUqAAbGxvUqVMHq1ev1tnGuXPn8Pbbb8PBwQH29vZo1qwZrl27BkD2frz11ltwcXGBo6MjAgMDcfLkyZeq+bfffkOdOnVQtmxZ7bKNGzeie/fu6N+/PypWrIgaNWogNDQUkydP1ln3p59+QrVq1WBtbY2qVavi+++/176XPSy3du1atGzZEqVKlUKdOnVw+PBhbZtbt26hQ4cOcHZ2hq2tLWrUqIGtW7cC0B0a27t3L/r27YuEhARtr9v48eMB6Pbo9OjRAyEhITo1ZmRkwMXFBcuWLQOgOzTWokUL3Lp1CyNHjtRuNzk5GQ4ODjmOy/r162Fra6sdPqxRowbKlCmDdevWGfiVJ1IuBiEiBTh79iwOHToEKysr7bLIyEgsW7YM8+fPx7lz5zBy5Ej85z//wZ9//gkAuHv3Lpo3bw61Wo3du3fjxIkT6NevHzIzMwEAT548QVhYGA4cOIAjR46gUqVKaNeu3UvN7dm/fz8aNGigs8zDwwNHjhzBrVu38lxvxYoVGDduHCZPnowLFy5gypQp+OKLL7B06VKddmPHjsUnn3yC06dPo3LlyggNDdV+nqFDhyItLQ379u3DmTNnMG3aNNjZ2eXYV+PGjTFr1iw4ODjg/v37uH//Pj755JMc7Xr27IlNmzYhKSlJu2zHjh1ISUlB586dc7Rfu3YtypUrh4kTJ2q3a2tri/feew+LFy/Wabt48WK8++67OsOHDRs2xP79+/P8GhFRHl72brFEVPyEhYUJc3NzYWtrK9RqtQAgzMzMxOrVq4UQQqSmpopSpUqJQ4cO6azXv39/ERoaKoQQYsyYMaJChQoiPT29QPvMysoS9vb2YtOmTdplAMS6deuEEELcuHFDABCnTp3Kcxt16tQREydO1Fl279490ahRIwFAVK5cWYSFhYlVq1aJrKwsbRtfX1/xyy+/6Kw3adIkERAQoLPvn376Sfv+uXPnBABx4cIFIYQQtWrVEuPHj8+1ruy7YmffYXzx4sXC0dExRztvb28xc+ZMIYS8S7mLi4tYtmyZ9v3Q0FAREhKifR0YGChGjBiR6/rZ/vrrL2Fubi7u3bsnhBAiJiZGWFhYiL179+q0GzlypGjRokWu9RNR3tgjRFRCtWzZEqdPn8Zff/2FsLAw9O3bF127dgUAXL16FSkpKXjrrbdgZ2enfSxbtkw79HX69Gk0a9YMlpaWuW4/JiYGAwYMQKVKleDo6AgHBwckJSXh9u3bBtf89OlTWFtb6yzz9PTE4cOHcebMGYwYMQKZmZkICwtDmzZtoNFokJycjGvXrqF///46n+XLL7/UfpZstWvX1tkuAMTGxgIAhg8fji+//BJNmjRBREQE/ve//xn8OQDAwsIC3bt3x4oVKwAAycnJ2LBhA3r27KnXdho2bIgaNWpoe7d+/vlneHt7o3nz5jrtbGxskJKS8lI1EykRJ0sTlVC2traoWLEiADnhuE6dOli4cCH69++vHa7ZsmWLznwcQM4tAuQf1vyEhYXhwYMH+Pbbb+Ht7Q21Wo2AgACkp6cbXLOLiwsePXqU63s1a9ZEzZo1MWTIEAwePBjNmjXDn3/+ierVqwOQZ5b5+/vrrGNubq7z+vlQp1KpAMi5UgDw/vvvIzg4GFu2bMEff/yByMhITJ8+HR9++KHBn6dnz54IDAxEbGwsdu7cCRsbG7Rp00bv7bz//vuYO3cuRo8ejcWLF6Nv377a+rM9fPhQ78naRMQ5QkSKYGZmhs8++wyff/45nj59iurVq0OtVuP27duoWLGizsPLywuA7D3Zv38/MjIyct3mwYMHMXz4cLRr1w41atSAWq1GfHz8S9VZr149nD9//oXtssNPcnIy3N3dUaZMGVy/fj3HZ6lQoYJe+/fy8sLgwYOxdu1afPzxx1iwYEGu7aysrJCVlfXC7TVu3BheXl5YtWoVVqxYgW7duuXZw5bfdv/zn//g1q1b+O6773D+/HmEhYXlaHP27FnUq1fvhTURkS4GISKF6NatG8zNzTF37lzY29vjk08+wciRI7F06VJcu3YNJ0+exOzZs7VDMMOGDUNiYiLee+89HD9+HFeuXMHy5ctx6dIlAEClSpWwfPlyXLhwAX/99Rd69uz5wl6kFwkODsbhw4d1wsAHH3yASZMm4eDBg7h16xaOHDmC3r17w9XVFQEBAQCACRMmIDIyEt999x0uX76MM2fOYPHixZgxY0aB9/3RRx9hx44duHHjBk6ePIk9e/agWrVqubb18fFBUlISoqKiEB8fn++QVI8ePTB//nzs3LnzhcNiPj4+2LdvH+7evasTKp2dndGlSxf897//RevWrVGuXDmd9VJSUnDixAm0bt26wJ+XiCQGISKFsLCwwLBhw/DVV18hOTkZkyZNwhdffIHIyEhUq1YNbdq0wZYtW7S9KK+99hp2796NpKQkBAYGws/PDwsWLND2aCxcuBCPHj1C/fr10atXLwwfPhxubm4vVWPbtm1hYWGBXbt2aZcFBQXhyJEj6NatGypXroyuXbvC2toaUVFReO211wDIoaOffvoJixcvRq1atRAYGIglS5bo1SOUlZWFoUOHar8WlStX1jkF/3mNGzfG4MGDERISAldXV3z11Vd5brdnz544f/48ypYtiyZNmuRbw8SJE3Hz5k34+vrmGObq378/0tPT0a9fvxzrbdiwAeXLl0ezZs0K8EmJ6HkqIYQo6iKIiLLNnTsXGzduxI4dO4q6lGJl+fLlGDlyJO7du6dzGQQAaNSoEYYPH44ePXoUUXVEry5OliaiYmXQoEF4/Pgxnjx5onOdHKVKSUnB/fv3MXXqVAwaNChHCIqPj0eXLl0QGhpaRBUSvdrYI0REVIyNHz8ekydPRvPmzbFhw4ZcL/JIRIZjECIiIiLF4mRpIiIiUiwGISIiIlIsBiEiIiJSLAYhIiIiUiwGISIiIlIsBiEiIiJSLAYhIiIiUiwGISIiIlIsBiEiIiJSrP8Dq1leeJlBpggAAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Threshold for best F1:\n",
      "-0.5866777437495557\n",
      "Confusion matrix at best F1 thresh:\n",
      "Confusion matrix, without normalization\n",
      "[[10236  5385]\n",
      " [ 2421 35958]]\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Metrics at best F1 thresh (specificity is recall for negative class):\n",
      "              precision    recall  f1-score   support\n",
      "\n",
      "          No       0.81      0.66      0.72     15621\n",
      "         Yes       0.87      0.94      0.90     38379\n",
      "\n",
      "    accuracy                           0.86     54000\n",
      "   macro avg       0.84      0.80      0.81     54000\n",
      "weighted avg       0.85      0.86      0.85     54000\n",
      "\n",
      "Confusion matrix at 0.5 thresh:\n",
      "Confusion matrix, without normalization\n",
      "[[11807  3814]\n",
      " [ 4462 33917]]\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Metrics at 0.5 thresh thresh (specificity is recall for negative class):\n",
      "              precision    recall  f1-score   support\n",
      "\n",
      "          No       0.73      0.76      0.74     15621\n",
      "         Yes       0.90      0.88      0.89     38379\n",
      "\n",
      "    accuracy                           0.85     54000\n",
      "   macro avg       0.81      0.82      0.82     54000\n",
      "weighted avg       0.85      0.85      0.85     54000\n",
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "-0.5866777437495557"
      ]
     },
     "execution_count": 52,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from utils_102023 import eval_model\n",
    "predictions_frame['logit_score'] = np.log(predictions_frame.score / (1 - predictions_frame.score))\n",
    "eval_model(predictions_frame.logit_score, dataset.label, graph=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "id": "a335badc-9cbb-4523-92c6-c38798dd43e8",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<seaborn.axisgrid.FacetGrid at 0x7fc54d1a22a0>"
      ]
     },
     "execution_count": 53,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 500x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import seaborn as sns\n",
    "sns.displot(predictions_frame.score)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "d8bf2e6f-fc8a-4f1a-9c68-f0e5fb939f5a",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "94ccb775-e2da-47cf-a64d-6e017a5bb11f",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.18"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}