synthetic_example_gbt.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "import os\n",
    "import shap\n",
    "\n",
    "from shapflow.flow import (\n",
    "    CausalLinks, \n",
    "    create_xgboost_f,\n",
    "    build_feature_graph,\n",
    "    GraphExplainer,\n",
    "    edge_credits2edge_credit\n",
    ")\n",
    "\n",
    "import xgboost as xgb\n",
    "from sklearn.model_selection import train_test_split\n",
    "from matplotlib.pyplot import plot"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Generate Data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "seed = 0\n",
    "n = 365*24 # number of samples -> 1 year with 1 sample per hour\n",
    "np.random.seed(seed)\n",
    "time = pd.date_range(start='2023-01-01', periods=n, freq='h')\n",
    "minutes = time.hour*60 + time.minute\n",
    "norm_minutes = 2*np.pi*(minutes/(24*60)) - np.pi/2\n",
    "\n",
    "temp = 22 + (np.sin(norm_minutes))/2 * 15 + np.random.normal(0, 0.6, n)\n",
    "\n",
    "base_load = np.sin((norm_minutes - np.pi*0.8)*2) + 2\n",
    "load = np.maximum(0.0, temp - 25.0)*0.6 + base_load + np.random.normal(0, 0.5, n)\n",
    "load = np.maximum(0, load)\n",
    "\n",
    "generation = (np.sin(norm_minutes) + 1)*1.6 + 1 + np.random.normal(0, 0.4, n)\n",
    "generation = np.maximum(0, generation)\n",
    "# synthetic model features: temp, load, generation, price\n",
    "# temp -> load; temp, load, generation -> price and ideally not temp -> price (directly)\n",
    "\n",
    "price = 30 + load - generation\n",
    "\n",
    "data = pd.DataFrame.from_dict({'Temperature': temp,\n",
    "                               'Load': load,\n",
    "                               'Generation': generation})\n",
    "data.index=time\n",
    "\n",
    "prediction_target = pd.DataFrame.from_dict({'Price': price})\n",
    "prediction_target.index=time\n",
    "\n",
    "# split data into train and test set\n",
    "block_size = '4d'\n",
    "masker = [pd.Series(g.index) for n, g in data.groupby(pd.Grouper(freq=block_size))]\n",
    "train_mask, test_mask = train_test_split(masker, test_size = 0.2, random_state=7)\n",
    "\n",
    "X_train = data.loc[pd.concat(train_mask)]\n",
    "y_train = prediction_target.loc[pd.concat(train_mask)]\n",
    "X_test = data.loc[pd.concat(test_mask)]\n",
    "y_test = prediction_target.loc[pd.concat(test_mask)]\n",
    "#X_train, X_test, y_train, y_test = train_test_split(data, prediction_target, test_size=0.2, random_state=7)\n",
    "xgb_train = xgb.DMatrix(data=X_train, label=y_train)\n",
    "xgb_test = xgb.DMatrix(data=X_test, label=y_test)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Temperature    21.990419\n",
       "Load            2.655255\n",
       "Generation      2.601240\n",
       "dtype: float64"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data.mean()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## plot data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import seaborn as sns\n",
    "for column in data.columns:\n",
    "    plt.figure(figsize=(10, 6))\n",
    "    sns.histplot(data[column], kde=False, bins=20)\n",
    "    plt.title(f'Distribution of {column}')\n",
    "    plt.xlabel(column)\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "from matplotlib.dates import DateFormatter"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\Florian\\AppData\\Local\\Temp\\ipykernel_6652\\1643789987.py:13: UserWarning: Tight layout not applied. tight_layout cannot make axes height small enough to accommodate all axes decorations.\n",
      "  plt.tight_layout()\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 700x400 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "days_to_show = 5\n",
    "df = data[:24*days_to_show].copy()\n",
    "g = df.plot(subplots=True, figsize=(7, 4), legend=False)\n",
    "handles, labels = [], []\n",
    "unit = ['°C', 'GW', 'GW']\n",
    "for i, ax in enumerate(g):\n",
    "    for handle, label in zip(*ax.get_legend_handles_labels()):\n",
    "        if label not in labels:\n",
    "            handles.append(handle)\n",
    "            labels.append(label + ' [{}]'.format(unit[i]))\n",
    "plt.xlabel('date')\n",
    "plt.legend(handles, labels, loc='upper center', bbox_to_anchor=(0.5, 3.9), ncol=len(labels))\n",
    "plt.tight_layout()\n",
    "plt.savefig('./plots/synthetic_features.pdf', bbox_inches='tight')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 600x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "prediction_target[:24*days_to_show].plot(legend=False, figsize=(6, 2), drawstyle='steps-post', ylabel='Price [€/MWh]')\n",
    "plt.tight_layout()\n",
    "plt.xlabel('date')\n",
    "plt.savefig('./plots/synthetic_price.pdf')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## model training"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[0]\ttest-rmse:0.60499\n",
      "[607]\ttest-rmse:0.04247\n"
     ]
    }
   ],
   "source": [
    "params = {\n",
    "    \"eta\": 0.3,\n",
    "    \"max_depth\": 6,\n",
    "    'objective':'reg:squarederror'\n",
    "}\n",
    "model = xgb.train(params, \n",
    "                      xgb_train, \n",
    "                      num_boost_round=1000, \n",
    "                      evals = [(xgb_test, \"test\")], \n",
    "                      verbose_eval=1000,\n",
    "                      early_stopping_rounds=100)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## model evaluation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.metrics import r2_score, mean_absolute_error, mean_squared_error"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "R2: 0.997\n",
      "MAE: 0.024\n",
      "rmse: 0.042\n",
      "(mean label: 30.051)\n"
     ]
    }
   ],
   "source": [
    "y_pred = pd.DataFrame(index=y_test.index)\n",
    "y_pred['xgb_pred'] = model.predict(xgb.DMatrix(X_test))\n",
    "r2_score_xgb = r2_score(y_test, y_pred['xgb_pred'])\n",
    "mae_xgb = mean_absolute_error(y_test, y_pred['xgb_pred'])\n",
    "mse_xgb = mean_squared_error(y_test, y_pred['xgb_pred'])\n",
    "print(\"R2: {:0.3f}\".format(r2_score_xgb))\n",
    "print(\"MAE: {:0.3f}\".format(mae_xgb))\n",
    "print(\"rmse: {:0.3f}\".format(np.sqrt(mse_xgb)))\n",
    "print(\"(mean label: {:0.3f})\".format(y_test['Price'].mean()))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Shapley Flow"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Explanation settings"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "n_bg = 100 # number of sampled background samples\n",
    "nsamples = 1000 # number of forefround samples to explain\n",
    "nruns = 500\n",
    "bg = X_test.sample(n=n_bg, random_state=0) \n",
    "fg = X_test.sample(n=nsamples, random_state=1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## build causal graph"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "feature names: \n",
      "['Temperature', 'Load', 'Generation']\n",
      "--------------------\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "learning dependency for Load:   0%|          | 0/1 [00:00<?, ?it/s]"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[0]\ttest-rmse:1.02814\n",
      "[100]\ttest-rmse:0.90846\n",
      "[200]\ttest-rmse:0.81823\n",
      "[300]\ttest-rmse:0.75132\n",
      "[400]\ttest-rmse:0.70286\n",
      "[499]\ttest-rmse:0.66864\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "learning dependency for Load: 100%|██████████| 1/1 [00:00<00:00,  1.47it/s]\n"
     ]
    },
    {
     "data": {
      "image/svg+xml": [
       "<?xml version=\"1.0\" encoding=\"UTF-8\" standalone=\"no\"?>\n",
       "<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n",
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       "<!-- Load -->\n",
       "<g id=\"node1\" class=\"node\">\n",
       "<title>Load</title>\n",
       "<ellipse fill=\"none\" stroke=\"black\" cx=\"199.14\" cy=\"-110\" rx=\"29.8\" ry=\"18\"/>\n",
       "<text text-anchor=\"middle\" x=\"199.14\" y=\"-106.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">Load</text>\n",
       "</g>\n",
       "<!-- Price -->\n",
       "<g id=\"node2\" class=\"node\">\n",
       "<title>Price</title>\n",
       "<ellipse fill=\"none\" stroke=\"black\" cx=\"314.43\" cy=\"-64\" rx=\"29.5\" ry=\"18\"/>\n",
       "<text text-anchor=\"middle\" x=\"314.43\" y=\"-60.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">Price</text>\n",
       "</g>\n",
       "<!-- Load&#45;&gt;Price -->\n",
       "<g id=\"edge1\" class=\"edge\">\n",
       "<title>Load&#45;&gt;Price</title>\n",
       "<path fill=\"none\" stroke=\"black\" d=\"M224.44,-100.13C240.68,-93.54 262.25,-84.78 280.09,-77.54\"/>\n",
       "<polygon fill=\"black\" stroke=\"black\" points=\"281.6,-80.7 289.55,-73.69 278.97,-74.21 281.6,-80.7\"/>\n",
       "</g>\n",
       "<!-- Temperature -->\n",
       "<g id=\"node3\" class=\"node\">\n",
       "<title>Temperature</title>\n",
       "<ellipse fill=\"none\" stroke=\"black\" cx=\"56.54\" cy=\"-87\" rx=\"56.59\" ry=\"18\"/>\n",
       "<text text-anchor=\"middle\" x=\"56.54\" y=\"-83.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">Temperature</text>\n",
       "</g>\n",
       "<!-- Temperature&#45;&gt;Load -->\n",
       "<g id=\"edge2\" class=\"edge\">\n",
       "<title>Temperature&#45;&gt;Load</title>\n",
       "<path fill=\"none\" stroke=\"black\" d=\"M107.11,-95.11C124.36,-97.93 143.44,-101.05 159.66,-103.71\"/>\n",
       "<polygon fill=\"black\" stroke=\"black\" points=\"159.42,-107.21 169.85,-105.37 160.55,-100.3 159.42,-107.21\"/>\n",
       "</g>\n",
       "<!-- Temperature&#45;&gt;Price -->\n",
       "<g id=\"edge3\" class=\"edge\">\n",
       "<title>Temperature&#45;&gt;Price</title>\n",
       "<path fill=\"none\" stroke=\"black\" d=\"M111.19,-82.18C160.2,-77.77 231.47,-71.37 275.01,-67.45\"/>\n",
       "<polygon fill=\"black\" stroke=\"black\" points=\"275.54,-70.92 285.18,-66.54 274.91,-63.95 275.54,-70.92\"/>\n",
       "</g>\n",
       "<!-- Generation -->\n",
       "<g id=\"node4\" class=\"node\">\n",
       "<title>Generation</title>\n",
       "<ellipse fill=\"none\" stroke=\"black\" cx=\"199.14\" cy=\"-18\" rx=\"50.09\" ry=\"18\"/>\n",
       "<text text-anchor=\"middle\" x=\"199.14\" y=\"-14.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">Generation</text>\n",
       "</g>\n",
       "<!-- Generation&#45;&gt;Price -->\n",
       "<g id=\"edge4\" class=\"edge\">\n",
       "<title>Generation&#45;&gt;Price</title>\n",
       "<path fill=\"none\" stroke=\"black\" d=\"M232.9,-31.31C247.7,-37.31 265.16,-44.4 280.03,-50.44\"/>\n",
       "<polygon fill=\"black\" stroke=\"black\" points=\"278.79,-53.71 289.37,-54.23 281.42,-47.23 278.79,-53.71\"/>\n",
       "</g>\n",
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       "</svg>\n"
      ],
      "text/plain": [
       "<graphviz.sources.Source at 0x1f1c2567820>"
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     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "causal_links = CausalLinks()\n",
    "target_name = 'Price'\n",
    "feature_names = list(data.columns)\n",
    "print('feature names: ')\n",
    "print(feature_names)\n",
    "print('--------------------')\n",
    "\n",
    "# temp, load, generation, price <- my suggestion for synthetic model\n",
    "# e.g. temp -> load; temp, load, generation -> price and ideally not temp -> price\n",
    "\n",
    "causal_links.add_causes_effects(feature_names, \n",
    "                                target_name, \n",
    "                                create_xgboost_f(feature_names, model))\n",
    "causal_links.add_causes_effects('Temperature', 'Load')\n",
    "\n",
    "\n",
    "causal_graph = build_feature_graph(data.fillna(data.mean()), \n",
    "                                   causal_links=causal_links,\n",
    "                                   target_name=target_name,\n",
    "                                   method='xgboost')\n",
    "\n",
    "causal_graph.draw(rankdir='LR')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## calculate Shapley Flow"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 100/100 [24:15<00:00, 14.56s/it]\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "1544.7889182567596\n"
     ]
    }
   ],
   "source": [
    "num_processes = 8\n",
    "from shap_flow_util import calculate_edge_credit\n",
    "import time\n",
    "import tqdm\n",
    "import multiprocess as mp\n",
    "import pickle\n",
    "\n",
    "start = time.time()\n",
    "\n",
    "model.set_param('n_jobs', -1)\n",
    "model.set_param('device', 'cpu')\n",
    "\n",
    "pool = mp.Pool(num_processes)\n",
    "_args = [(causal_graph, bg[i:i+1], fg, nruns) for i in range(len(bg))]\n",
    "edge_credits = pool.starmap(calculate_edge_credit, tqdm.tqdm(_args, total=len(_args)))\n",
    "pool.close()\n",
    "pool.join()\n",
    "\n",
    "end = time.time()\n",
    "print(end - start)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "bruteforce sampling: 100%|██████████| 500/500 [00:21<00:00, 23.46it/s]\n"
     ]
    }
   ],
   "source": [
    "model.set_param('n_jobs', -1)\n",
    "explainer = GraphExplainer(causal_graph, bg[0:1], nruns, silent=False)\n",
    "cf = explainer.shap_values(fg)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [],
   "source": [
    "# save credit flow to file if necessary\n",
    "import dill\n",
    "cf.edge_credit = edge_credits2edge_credit(edge_credits, cf.graph)\n",
    "if not os.path.exists('./credit_flow/'):\n",
    "    os.makedirs('./credit_flow/')\n",
    "with open('./credit_flow/{}.pkl'.format('test_synthetic_data'), 'wb') as file:\n",
    "    dill.dump(cf, file)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## load cf"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "import dill"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [],
   "source": [
    "with open('./credit_flow/test_synthetic_data.pkl', 'rb') as file:\n",
    "        cf = dill.load(file)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
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       "</g>\n",
       "<!-- Load noise&#45;&gt;Price -->\n",
       "<g id=\"edge1\" class=\"edge\">\n",
       "<title>Load noise&#45;&gt;Price</title>\n",
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       "<!-- Generation -->\n",
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       "<title>Generation&#45;&gt;Price</title>\n",
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       "<!-- Temperature&#45;&gt;Price -->\n",
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       "<title>Temperature&#45;&gt;Price</title>\n",
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     "metadata": {},
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     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 350x170 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import importlib\n",
    "import shap_flow_util\n",
    "\n",
    "importlib.reload(shap_flow_util)\n",
    "shap_flow_util.plot_bar_mean_abs_asv(cf, figsize=(3.5, 1.7), save=True, name='synthetic', xlabel='')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 350x170 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "importlib.reload(shap_flow_util)\n",
    "shap_flow_util.plot_bar_mean_abs_shap(cf, 'Price', figsize=(3.5, 1.7), save=True, name='synthetic', xlabel='')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Shapley flow explanation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [],
   "source": [
    "from shap_flow_util import save_graph_thesis"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/svg+xml": [
       "<?xml version=\"1.0\" encoding=\"UTF-8\" standalone=\"no\"?>\n",
       "<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n",
       " \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n",
       "<!-- Generated by graphviz version 2.46.0 (20210118.1747)\n",
       " -->\n",
       "<!-- Pages: 1 -->\n",
       "<svg width=\"315pt\" height=\"218pt\"\n",
       " viewBox=\"0.00 0.00 315.39 218.00\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n",
       "<g id=\"graph0\" class=\"graph\" transform=\"scale(1 1) rotate(0) translate(4 214)\">\n",
       "<polygon fill=\"white\" stroke=\"transparent\" points=\"-4,4 -4,-214 311.39,-214 311.39,4 -4,4\"/>\n",
       "<!-- Load -->\n",
       "<g id=\"node1\" class=\"node\">\n",
       "<title>Load</title>\n",
       "<ellipse fill=\"none\" stroke=\"black\" cx=\"233.05\" cy=\"-105\" rx=\"29.8\" ry=\"18\"/>\n",
       "<text text-anchor=\"middle\" x=\"233.05\" y=\"-101.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">Load</text>\n",
       "</g>\n",
       "<!-- Price -->\n",
       "<g id=\"node2\" class=\"node\">\n",
       "<title>Price</title>\n",
       "<ellipse fill=\"none\" stroke=\"black\" cx=\"50.05\" cy=\"-18\" rx=\"29.5\" ry=\"18\"/>\n",
       "<text text-anchor=\"middle\" x=\"50.05\" y=\"-14.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">Price</text>\n",
       "</g>\n",
       "<!-- Load&#45;&gt;Price -->\n",
       "<g id=\"edge1\" class=\"edge\">\n",
       "<title>Load&#45;&gt;Price</title>\n",
       "<path fill=\"none\" stroke=\"#008bfb\" stroke-width=\"4.02\" d=\"M210.34,-93.18C188.91,-82.99 155.85,-67.34 127.05,-54 112.32,-47.18 95.96,-39.73 82.12,-33.46\"/>\n",
       "<polygon fill=\"#008bfb\" stroke=\"#008bfb\" stroke-width=\"4.02\" points=\"83.56,-30.24 73,-29.33 80.66,-36.66 83.56,-30.24\"/>\n",
       "<text text-anchor=\"middle\" x=\"172.55\" y=\"-57.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\" fill=\"#008bfb\" fill-opacity=\"0.847059\">0.80</text>\n",
       "</g>\n",
       "<!-- Load noise -->\n",
       "<g id=\"node3\" class=\"node\">\n",
       "<title>Load noise</title>\n",
       "<ellipse fill=\"none\" stroke=\"black\" cx=\"256.05\" cy=\"-192\" rx=\"51.19\" ry=\"18\"/>\n",
       "<text text-anchor=\"middle\" x=\"256.05\" y=\"-188.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">Load noise</text>\n",
       "</g>\n",
       "<!-- Load noise&#45;&gt;Load -->\n",
       "<g id=\"edge2\" class=\"edge\">\n",
       "<title>Load noise&#45;&gt;Load</title>\n",
       "<path fill=\"none\" stroke=\"#008bfb\" stroke-width=\"2.62\" d=\"M251.39,-173.8C248.19,-161.97 243.88,-146.03 240.24,-132.58\"/>\n",
       "<polygon fill=\"#008bfb\" stroke=\"#008bfb\" stroke-width=\"2.62\" points=\"243.61,-131.62 237.61,-122.89 236.85,-133.45 243.61,-131.62\"/>\n",
       "<text text-anchor=\"middle\" x=\"257.55\" y=\"-144.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\" fill=\"#008bfb\" fill-opacity=\"0.631373\">0.52</text>\n",
       "</g>\n",
       "<!-- Generation -->\n",
       "<g id=\"node4\" class=\"node\">\n",
       "<title>Generation</title>\n",
       "<ellipse fill=\"none\" stroke=\"black\" cx=\"50.05\" cy=\"-105\" rx=\"50.09\" ry=\"18\"/>\n",
       "<text text-anchor=\"middle\" x=\"50.05\" y=\"-101.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">Generation</text>\n",
       "</g>\n",
       "<!-- Generation&#45;&gt;Price -->\n",
       "<g id=\"edge3\" class=\"edge\">\n",
       "<title>Generation&#45;&gt;Price</title>\n",
       "<path fill=\"none\" stroke=\"#008bfb\" stroke-width=\"5\" d=\"M50.05,-86.8C50.05,-75.16 50.05,-59.55 50.05,-46.24\"/>\n",
       "<polygon fill=\"#008bfb\" stroke=\"#008bfb\" stroke-width=\"5\" points=\"54.42,-46.18 50.05,-36.18 45.67,-46.18 54.42,-46.18\"/>\n",
       "<text text-anchor=\"middle\" x=\"62.55\" y=\"-57.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\" fill=\"#008bfb\">1.00</text>\n",
       "</g>\n",
       "<!-- Temperature -->\n",
       "<g id=\"node5\" class=\"node\">\n",
       "<title>Temperature</title>\n",
       "<ellipse fill=\"none\" stroke=\"black\" cx=\"130.05\" cy=\"-192\" rx=\"56.59\" ry=\"18\"/>\n",
       "<text text-anchor=\"middle\" x=\"130.05\" y=\"-188.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\">Temperature</text>\n",
       "</g>\n",
       "<!-- Temperature&#45;&gt;Load -->\n",
       "<g id=\"edge4\" class=\"edge\">\n",
       "<title>Temperature&#45;&gt;Load</title>\n",
       "<path fill=\"none\" stroke=\"#008bfb\" stroke-width=\"2.13\" d=\"M149.42,-175.01C166.1,-161.25 190.26,-141.31 208.32,-126.4\"/>\n",
       "<polygon fill=\"#008bfb\" stroke=\"#008bfb\" stroke-width=\"2.13\" points=\"210.66,-129.01 216.15,-119.95 206.21,-123.61 210.66,-129.01\"/>\n",
       "<text text-anchor=\"middle\" x=\"200.55\" y=\"-144.8\" font-family=\"Times New Roman,serif\" font-size=\"14.00\" fill=\"#008bfb\" fill-opacity=\"0.556863\">0.42</text>\n",
       "</g>\n",
       "<!-- Temperature&#45;&gt;Price -->\n",
       "<g id=\"edge5\" class=\"edge\">\n",
       "<title>Temperature&#45;&gt;Price</title>\n",
       "<path fill=\"none\" stroke=\"#008bfb\" stroke-width=\"0.08\" d=\"M129.26,-173.94C127.7,-152.61 123.02,-115.43 109.05,-87 100.42,-69.46 86.15,-52.83 73.8,-40.41\"/>\n",
       "<polygon fill=\"#008bfb\" stroke=\"#008bfb\" stroke-width=\"0.08\" points=\"76.04,-37.7 66.42,-33.25 71.16,-42.72 76.04,-37.7\"/>\n",
       "<text text-anchor=\"middle\" x=\"134.55\" y=\"-101.3\" font-family=\"Times New Roman,serif\" font-size=\"14.00\" fill=\"#008bfb\" fill-opacity=\"0.239216\">0.01</text>\n",
       "</g>\n",
       "</g>\n",
       "</svg>\n"
      ],
      "text/plain": [
       "<graphviz.sources.Source at 0x1f1c15eb790>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sample_ind = -1 # sample to inspect; set to negative value to get mean absolute credit (!)\n",
    "cf.fold_noise = False\n",
    "g = cf.draw(idx=sample_ind, show_fg_val=True)\n",
    "#g.graph_attr['rankdir']='LR' # change layout from top-bottom to left-right\n",
    "save_graph_thesis(g, './plots/sythetic_mean_abs', format='pdf', view=True)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# SHAP"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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wANnZ2SUdJhERERERk4riVKlSJQDAvXv31F5Tlinr3LlzB7dv38aQIUMwbNgwSd0//vhD8nfFihUBANHR0bmul4iIiIioqPCeimJUo0YNVKhQAbt370ZcXJyqPDMzEyEhIVAoFGjVqhUAQEvr7aERQkjWcffuXRw/flxSZmlpCRcXF5w4cQL3799XlWdkZGDz5s1FtDdERERERG/xSkUROH/+PNLS0tTKLSws8N1332HSpEnw9fVF9+7dYWRkhMOHD+PatWvw8/NTzfzk6OiIKlWqYNOmTXjz5g3s7e3x4MEDhIeHw8nJCbdu3ZKse/z48Rg2bBj8/f3Rq1cv1ZSyWVlZxbLPRERERPT5YlJRBE6fPo3Tp0+rldvb22PHjh1YuXIl1q9fj5CQEGRkZMDBwQFTpkyRPPxOW1sbS5YswW+//YY9e/bg9evXqFq1KgICAnD79m21pKJu3bpYsWIFli9fjo0bN8LExET18Ls+ffoU9S4TERER0WdMIXKOryECoFiQWdIhEBER0SdKTOTv2p8a3lNBRERERESyMKkgIiIiIiJZmFQQEREREZEsTCqIiIiIiEgWJhVERERERCQLkwoiIiIiIpKFSQUREREREcnCpIKIiIiIiGRhUkFERERERLLwcYak0RqzIPj5+UFXV7ekQyEiIiKijxyvVBARERERkSxMKoiIiIiISBYmFUREREREJAuTCiIiIiIikoVJBRERERERycKkgoiIiIiIZGFSQUREREREsjCpICIiIiIiWZhUEBERERGRLEwqiIiIiIhIFiYVREREREQkC5MKIiIiIiKShUkFERERERHJohBCiJIOgj4+igWZamViok4JREJEREREHzteqSAiIiIiIlmYVBARERERkSxMKoiIiIiISBYmFUREREREJAuTCiIiIiIikoVJBRERERERycKkgoiIiIiIZGFSQUREREREsjCpICIiIiIiWZhUEBERERGRLDp5rejm5pbnle7atQsVK1YsUECfon///RfHjx+Hl5cX24WIiIiIPjl5TiqmT58u+fuff/7Bzp070b17d7i6ukpeK1OmTOFE94m4ffs21q5diwYNGjCpICIiIqJPTp6Tis6dO0v+zsrKws6dO1G3bl211z5lqampMDY2LukwJD7GmIiIiIjo85HnpCKvhBDYsWMH/vjjD0RFRUFLSwu1atXCkCFDJEOonjx5Am9vbwwZMgRVqlRBcHAw7t+/D2trawwePBje3t54+vQpFi1ahAsXLiAzMxOtWrXC5MmTJV+gAwICsGfPHhw+fBiLFy/GqVOnkJaWBhcXF4wdOxY1atRQi/HQoUPYsmUL7ty5g6ysLDg5OWHAgAFo166dpJ6bmxs8PT3RuXNnrFmzBrdv30bNmjURGBiI2NhYhIaG4vz584iJiUFaWhoqVaqELl26YMCAAdDW1gYArFmzBmvXrgUADB8+XLVuT09PBAQEqF7XNGTMy8sLNjY2CAwMzFNMAHDz5k0EBQXhn3/+watXr2BjY4MuXbrA19cXOjqFfriJiIiIiAo/qZg6dSoOHjyItm3bwsvLCxkZGdi/fz9GjRqFefPmoVWrVpL6J0+eRHh4OHr27AkzMzNERERg+vTp0NXVxYoVK9CwYUOMHDkSN2/exK5du6Cnp4eff/5Zbbv/+c9/YGZmhiFDhiA+Ph5bt27F0KFDERQUBCcnJ1W9lStXIigoCE2bNsXw4cOhpaWFY8eOYfLkyfjuu+/Qu3dvyXpv3ryJo0ePolu3bvD09FSV37lzB8eOHUPr1q1ha2uLzMxM/P3331i+fDkeP36Mn376CQDg4eGBuLg47Ny5E35+fnB0dAQA2NraFriNc4vp5MmTmDRpEuzs7NC/f3+YmZnh2rVrquTj119/LfA2iYiIiIhyU6hJxbFjx7B//378+OOP6NGjh6q8T58+8PPzw8KFC9GyZUsoFArVa1FRUdi2bRtsbGwAAB06dECXLl0wdepUjB07Fv3791fVTU5Oxt69ezFhwgQYGRlJtm1jY4N58+ap1u3h4YGBAwdiyZIlWLZsGQAgMjISQUFB8PPzw6hRoyTxTZgwAStWrECXLl0kV0Lu3buHFStWwN3dXbK9+vXrIyIiQrIvffv2xc8//4yIiAgMGzYMVlZWqFatGurWrYudO3fC3d09Xze850ZTTGlpaZgxYwbq1KmDVatWqa5K+Pj4oFq1ali8eDEuXLhQKNsnIiIiInpXoU4pu2/fPhgbG6N169ZISEhQ/UtJSUGLFi3w5MkTPHjwQLJM69atVQkF8PYmb3t7e2hpaaldNahXrx4yMzPx5MkTtW0PHDhQ8gW/Zs2acHd3x7lz5/Dq1SsAwP79+6FQKNClSxdJfAkJCWjZsiVSU1Nx7do1yXqdnZ3VEgoAMDAwUG0vIyMDiYmJSEhIQJMmTZCdnY2bN2/ms/XyTlNMZ8+eRXx8PLy8vJCSkiLZt2bNmqnqEBEREREVtkK9UhEdHY3U1FR06NAh1zovXryAvb296u9KlSqp1TE1NYWVlRX09PQk5WZmZgCAxMREtWWUw4pylp05cwYxMTGoWrUqoqKiIIRAz549c40vPj5e8nflypU11svMzMSGDRuwb98+PHz4EEIIyetJSUm5bkMuTTFFRUUBUJ+l6105942IiIiIqDAUalIhhECZMmUwc+bMXOtUrVpV8reWluaLJbmVK7dTUAqFAkuXLs11/TnjMzAw0Fhv8eLF2LJlC9q3b4/BgwejTJky0NHRQWRkJJYtW5bnGN+9upJTVlaWxnJNMSm3N3bsWDg7O2tcztraOk8xERERERHlR6EmFXZ2dnjw4AFcXFzU7nkoalFRUXBxcVEr09bWVg2vsrOzw+nTp1GhQgWNVzbyY9++fahfvz7mzJkjKX/48KFa3fclDsqrL0lJSZLZn9LS0hAXF5fnG7qVVy8MDQ01DtciIiIiIioqhXpPRZcuXZCdnY3ly5drfL0oh99s2rRJcnUgMjIS586dQ8OGDVUJjvJ5GitWrNB4FSA/8WlpaaldjXj9+jU2b96sVtfQ0BCA5iFRyqFgOe932Lx5M7Kzs/McT5MmTVC2bFls2LBB4/CwN2/eIDU1Nc/rIyIiIiLKq0K9UtGuXTt4eXlh69atiIyMRIsWLWBhYYHnz5/j6tWrePToESIiIgpzkyoxMTEYPXo0WrZsibi4OGzduhX6+voYO3asqk7t2rUxdOhQBAYGom/fvmjXrh2sra0RFxeHW7du4dSpUzhz5kyette2bVuEh4fjhx9+QKNGjRAfH4/du3fD3NxcrW7t2rWhpaWFoKAgJCUlwdDQEJUqVUKdOnXQqFEj2NvbY82aNUhMTETFihVx5coVXLt2DRYWFnnef0NDQ0ybNg0TJ06Ej48PvL29YWdnh+TkZERHR+PYsWOYP38+Z38iIiIiokJX6M+p+OWXX+Dm5oadO3diw4YNyMjIgKWlJWrUqCGZxrWwLVu2DIsWLUJgYCDevHmjevhdtWrVJPWGDh2KWrVq4ffff8d///tfvH79GmXLlkXVqlUxceLEPG/v22+/hbGxMQ4fPowTJ06gfPny6N69O2rVqoWRI0dK6laoUAFTp07Fxo0bMXfuXGRmZsLT0xN16tSBtrY2Fi1ahAULFmDLli3Q1dVF48aNERgYCH9//3y1QZMmTbBx40Zs3LgR+/fvx8uXL2FmZgZbW1v069dPrS2IiIiIiAqDQsi56/kjoHyi9oULF0o6lE+KYkGmWpmYyCdyExEREZG6Qr2ngoiIiIiIPj9MKoiIiIiISBYmFUREREREJEupv6eCigbvqSAiIiKivOKVCiIiIiIikoVJBRERERERycKkgoiIiIiIZGFSQUREREREsjCpICIiIiIiWTidD2m0xiwIfn5+0NXVLelQiIiIiOgjxysVREREREQkC5MKIiIiIiKShUkFERERERHJwqSCiIiIiIhkYVJBRERERESyMKkgIiIiIiJZmFQQEREREZEsTCqIiIiIiEgWJhVERERERCQLkwoiIiIiIpKFSQUREREREcnCpIKIiIiIiGRhUkFERERERLIwqSAiIiIiIlmYVBARERERkSxMKoiIiIiISBYmFUREREREJAuTCiIiIiIikoVJBRERERERycKkgoiIiIiIZGFSQUREREREsjCpICIiIiIiWZhUEBERERGRLEwqiIiIiIhIFiYVREREREQkC5MKIiIiIiKShUkFERERERHJwqSCiIiIiIhkYVJBRERERESy6JR0APTxEULg9evXSEpKgq6ubkmHQ0RERETFyNTUFAqFIl/LKIQQoojioVIqLi4O1tbWJR0GEREREZWAxMREmJmZ5WsZXqkgNfr6+qhXrx727t0LExOTkg7nk5aSkoIuXbqwrYsY27n4sK2LB9u5+LCtiwfbufjkpa1NTU3zvV4mFaRGoVBAW1sbZmZmfGMXMS0tLbZ1MWA7Fx+2dfFgOxcftnXxYDsXn6Jqa96oTUREREREsjCpICIiIiIiWZhUkBo9PT0MGTIEenp6JR3KJ49tXTzYzsWHbV082M7Fh21dPNjOxaeo2pqzPxERERERkSy8UkFERERERLIwqSAiIiIiIlk4pexnJjo6GvPmzcPVq1dhbGyMzp07Y+TIkR98crYQAhs3bsS2bduQkJAAZ2dnfPvtt3BxcSmmyEufgrb1tm3bcOrUKVy/fh0JCQmYO3cu2rVrV0xRlz4Faee4uDiEhYXh7NmzePToEUxMTODq6orRo0fDxsamGKMvXQrap3/++Wdcv34dsbGx0NXVhZOTE/z9/dG4ceNiirx0KWg7v2vz5s1YtGgRmjdvjt9++63ogi3lCtrWXl5eiImJUSs/deoU9PX1iyrcUktOn37+/DlWrFiBU6dO4fXr17CxsYG/vz++/PLLYoi89ClIW1+4cAHDhw/X+Jq9vT127NiRp20zqfiMJCUlYfjw4ahcuTLmz5+P58+fY/HixXjz5g2+//779y67ceNGrFmzBqNHj0a1atWwbds2jB49GmFhYbC1tS2mPSg95LT13r17AQDNmjVT/T9pVtB2vnXrFo4dOwZvb2+4uLggISEB69atg6+vL7Zs2YIyZcoU416UDnL6dEZGBvr16wc7Ozukp6cjIiICY8eOxerVq+Hq6lpMe1A6yGlnpbi4OKxduxZly5Yt4mhLN7lt3bZtW/Tv319SxpuM1clp57i4OPj5+cHe3h4//fQTjI2Nce/ePaSnpxdT9KVLQdu6Ro0aCA4OlpSlpqZizJgxaNq0ad4DEPTZCAoKEs2bNxcJCQmqsh07dohGjRqJ58+f57rcmzdvRMuWLcXy5ctVZenp6cLT01PMmTOnSGMurQra1kIIkZWVJYQQ4vHjx6JBgwbi8OHDRRpraVbQdk5KShIZGRmSsqdPnwo3NzcREhJSZPGWZnL6dE6ZmZmic+fOYubMmYUdZqlXGO38888/i6lTp4ohQ4aIsWPHFlGkpZ+ctvb09BRz584t6hA/CXLaecqUKcLPz09kZmYWdZifhMI8T+/atUs0aNBAXL9+Pc/L8J6Kz8jp06fRqFEjmJubq8rat2+P7OxsnDlzJtflrl69itTUVMkQHF1dXbRp0wanTp0q0phLq4K2NfD2SZeUNwVtZ1NTU+joSC/Uli9fHmXKlEFsbGyRxVuayenTOWlra8PU1BQZGRmFHWapJ7edL1++jBMnTuA///lPUYb5SSjMPk25K2g7p6Sk4MiRI+jVqxe0tbWLI9RSrzD79IEDB1C5cmXUrl07z8vw28tnJDo6Gg4ODpIyU1NTWFlZITo6+r3LAVBb1tHREU+fPsWbN28KN9BPQEHbmvKnMNv5/v37ePHiBRwdHQsvwE+I3LYWQiAzMxMJCQkICQnBw4cP0aNHj6IJthST085ZWVmYN28e/Pz8YGVlVXRBfiLk9ukDBw6gSZMmaNGiBcaMGYO7d+8WTaClXEHbOTIyEhkZGdDR0cHQoUPh7u6Ojh07YunSpcjMzCzaoEupwvpMjI+Px4ULF9CxY8d8bZ/3VHxGkpKSYGpqqlZuamqKpKSk9y6np6endvOZqakphBBITk6GgYFBocdbmhW0rSl/CqudhRBYsGABrK2t830S/VzIbeuIiAjMnDkTAGBkZITZs2ejbt26hR5naSennbdt24bXr1+jX79+RRXeJ0VOW7ds2RJ16tRBhQoV8PjxYwQFBcHf35/3GWpQ0HaOj48HAMycORPdunXD0KFDcf36daxZswZaWloYPXp0kcVcWhXWZ+Lhw4eRlZWFTp065Wv7TCqI6LMXGBiIc+fOYdmyZTA0NCzpcD5JrVu3hrOzMxISEnDkyBH88MMPmD9/Ppo1a1bSoX0SXrx4gTVr1mDatGn5miWKCmbSpEmq/3d1dUXjxo3h4+OD0NBQTJ48uQQj+3SI///ZzI0aNcL48eMBAG5ubnj16hVCQ0PxzTff8AfNIrJ//37UrFkT9vb2+VqOw58+I2ZmZkhJSVErT05OhpmZ2XuXS09PR1pamtpyCoVCY1b8uStoW1P+FEY779y5E2vXrsWPP/6IRo0aFXaInwy5bW1hYYFatWqhadOmmDp1Kpo2bYolS5YURailWkHbefXq1ahWrRpcXV2RnJyM5ORkZGVlISsrC8nJyRwuokFhnqetrKxQr1493Lp1q7DC+2QUtJ2V3y3c3Nwk5Y0aNUJ6ejoePXpUuIF+AgqjTz969Ag3btzI91UKgFcqPisODg5qY+pSUlIQFxenNgYv53LA2zHnzs7OqvLo6GhUqFCBvxRoUNC2pvyR287Hjh3D3LlzMXz4cHTt2rVogvxEFHafrlGjBk6fPl04wX1CCtrO0dHRuHTpEtq0aaP2Wps2bbB06dL8TQ35GeB5ungUtJ2rVKny3vXm/KGTCqdPHzhwAFpaWgUaCswrFZ+Rpk2b4ty5c0hOTlaVHTlyBFpaWu99CFXdunVhbGyMI0eOqMoyMzNx7NgxDl3IRUHbmvJHTjtfuHABP/30E7p164ZvvvmmqEMt9Qq7T1+5cgWVKlUqzBA/CQVt5wkTJmD16tWSf87OznBxccHq1avzNYPL56Iw+3RsbCwuX76MWrVqFXaYpV5B29nGxgZOTk44d+6cpPzs2bPQ19f/YNLxOSqMPn3w4EE0aNCgQJM98ErFZ8THxwdbtmzBhAkTMHjwYDx//hxLlixBjx49YG1trao3YsQIxMTE4I8//gAA6Ovrw8/PD4GBgShTpgycnJywbds2JCYmqj34h94qaFsDwM2bN/HkyRMkJCQAAK5fvw4AKFOmDBo0aFCcu/HRK2g7R0VFYeLEibCzs0Pnzp1x7do1Vd0yZcrwRksNCtrWJ0+exN69e9G8eXOUL18eSUlJOHDgAP7++2/MmjWrhPbm41XQdq5evbraukxMTGBkZKQ2fITeKmhbHzhwACdPnkSzZs1gbW2NR48eYcOGDdDW1uZnogZyPg9HjhyJCRMmYOHChWjWrBlu3ryJkJAQDBw4kPe/aSCnrYG3M25FRUUVeLIHJhWfETMzM6xatQrz58/HhAkTYGxsjG7dumHkyJGSespxuO/y9fWFEAKhoaF4+fIlnJ2dsWzZMn75yoWctt66dSv27Nmj+js0NBQAUL9+fQQGBhZ98KVIQdv5+vXrSElJQUpKCvz9/SV1PT09ERAQUBzhlyoFbWtbW1ukp6dj+fLlSEhIgIWFBapVq4Y1a9YwSdZAzrmD8qegbV2pUiXExsZi4cKFSE5OhqmpKRo2bIhhw4bx6psGcvp0y5YtMWvWLKxbtw7bt2+HlZUVhg0bhkGDBhXjHpQecs8fBw8ehJ6eHtq2bVug7SuE8vZ6IiIiIiKiAuA9FUREREREJAuTCiIiIiIikoVJBRERERERycKkgoiIiIiIZGFSQUREREREsjCpICIiIiIiWZhUEBERERGRLEwqiIiIiIhIFiYVRDI8f/4c5ubmWLt2raR80KBBcHBwKJmgPhEBAQFQKBSIjo4ulu1t2LBBbXuvX79GxYoVMW3atHyvL7e+QQWnPEbHjx8v6VCohMk9P7Avfb6io6OhUCgQEBBQrNs9fvw4FAoFNmzYUKDlL1++DC0tLZw4caJwAytETCqIZJgyZQqsra3h5+eXp/pPnz7FxIkTUadOHZiamsLMzAzVqlVDnz59EB4eLqnbunVrmJiY5Lou5YfqhQsXNL7+8uVLGBoaQqFQICQkJNf1ODg4QKFQqP7p6enBwcEB33zzDR4+fJin/fpUGRoaYvLkyZg/fz5iYmLytWx++wZ93i5fvoyAgIBiS6Kp5EVHRyMgIACXL18u1u2yr6lLSEhAQEDAR51k1qtXD926dcOECRMghCjpcDRiUkFUQI8ePUJQUBD+85//QEdH54P179+/jy+++AIrVqxA48aNMXfuXMyZMweenp6IjIxEcHBwocYXFhaGtLQ0ODo6Iigo6L11bW1tERISgpCQECxZsgTu7u4ICgqCu7s74uLiCjWu0sbf3x8KhQKLFi3K8zL57RuUNwMGDMDr16/RsmXLkg6l0F2+fBnTpk3jF73PSHR0NKZNm1YiScXn3Nfs7e3x+vVrTJkyRVWWkJCAadOmfdRJBQCMGzcOFy9exL59+0o6FI34aUdUQGvWrIFCocDXX3+dp/oLFizA8+fP8ccff6Br165qrz99+rRQ41u/fj3atGmDrl27Yty4cbh37x6qVKmisa65uTn69++v+nvEiBEoV64cli9fjuDgYEyaNKlQYytNjI2N0aNHD2zYsAEzZ86Evr7+B5fJb98oaVlZWUhLS4ORkVFJh/Je2tra0NbWLukwiKgUUygUMDAwKOkwCqRFixZwcHDA6tWr0aVLl5IORw2vVFCxUY5h/fPPPzF9+nTY29vD0NAQ7u7uOHPmDADgxIkTaN68OYyNjWFjY4MZM2ZoXNeFCxfQvXt3WFlZQV9fH9WrV8esWbOQmZkpqXfu3DkMGjQIzs7OMDIygqmpKZo1a4adO3eqrXPQoEFQKBRITExUfak2MDBAs2bNcPbsWbX627Ztg5ubG8qVK5en/b9z5w4AoG3bthpfr1ChQp7WkxeXLl3C5cuX4evri759+0JHR+eDVyty6tixIwDg7t27udbZv38/FAoFli5dqvH1Jk2awNraGhkZGQDydzw0UR4jTRQKBQYNGqRWvmXLFjRv3hympqYwMjKCu7s7tm/fnqftKX355ZeIi4vDsWPH8lQ/t76RnZ2NWbNmoWXLlqhQoQL09PRQuXJljBgxAvHx8ap6CQkJMDAwQI8ePTSu/4cffoBCoZD8wpmYmIjvv/8eTk5O0NfXh7W1Nb7++mvcu3dPsqzyfXjkyBHMmDEDVatWhYGBAbZu3QoAOHToEL766itUqVIFhoaGsLCwQIcOHXIdx7tjxw588cUXMDAwQOXKlTFt2jQcOXJE49jhtLQ0zJ49G7Vr14aBgQEsLCzg5eWFf/75J0/tqmkcfGGdVxwcHNC6dWtcunQJHh4eMDExQdmyZeHr64vnz59L6iYnJ2PKlClwd3dXnYOcnJwwefJkvHr1Sm3dQgisXbsW7u7uMDExgYmJCVxcXDB16lQAb4cyKofJtWnTRjUUUVN/zunq1avo3r07LC0tYWBggFq1amHevHnIysqS1Mvv+U0T5ZDLmzdvYty4cbCxsYGRkRHatm2Lf//9FwAQHh6O+vXrw9DQEA4ODggMDNS4rnXr1qnqmZubo0OHDjh58qRavezsbMyZMweOjo4wMDBAnTp1EBYWlmuMMTExGDFiBCpXrgw9PT1UrFgRQ4cOVTuG+ZXXdm7durXG++lyjuPfsGED2rRpAwDw8/NTHfPWrVsDkI6/X7ZsGZydnWFgYABnZ2csW7ZMbf3K/ptTznH8Be1ryv4THx+PQYMGwcrKCqampujWrZvqB7HAwEDUrFkTBgYGqFGjBiIiItTWs3LlSnTo0AGVKlWCnp4ebGxs0L9/f41XTbKysjBjxgzY29vDwMAAdevWxZYtWzTeT5Of/p3zWBw/fhyOjo4AgGnTpqnaRHkc33cvRG6fSREREXB1dYWBgQHs7Ozw888/qz4Hc8rPeVGhUKBjx444cOAAUlJSNK6vJPFKBRW7yZMnIysrC2PHjkV6ejoWLlyIDh06YNOmTfD398fQoUPRr18/bN26FVOnToWjo6PkV/S9e/eiR48ecHJywoQJE1C2bFn8/fffmDp1Ki5fvoxt27ap6u7cuRORkZHo3bs37O3tER8fj40bN6JHjx4ICwtD37591eLr2LEjrK2tMXXqVMTHx2PRokXo0qULoqKiYGpqCgB49uwZ/v33X4wZMybP+121alUAwNq1azFu3LhcvxznlNvwI01fXpTWr18PExMT+Pj4wNjYGJ6enti4cSOmT58OLa28/ZagTIKsrKxyrdOhQwdUqFABmzZtUmuLO3fu4MyZMxgzZgx0dXUBFOx4yDFlyhTMmjULnTp1wowZM6ClpYWdO3eiV69eWL58OUaNGpWn9TRp0gTA2w+XTp06vbfu+/pGeno65s+fDx8fH3Tt2hXGxsY4f/481q9fj5MnT+LixYvQ09ODhYUFvL29ERERgRcvXqBs2bKqdWRnZyMsLAx169ZFvXr1ALxNKJo2bYoHDx5g8ODBqF27NmJiYrBy5Uq4u7vjwoULsLe3l8QyceJEZGRkYMiQITAzM0P16tUBvP2y8+LFCwwcOBC2trZ4/Pgx1q1bh7Zt2+LYsWNo0aKFah1btmzB119/japVq+KXX36Bjo4ONm7ciN27d6vte0ZGBjp16oTTp09jwIABGD16NBITE7F27Vo0a9YMf/31F9zc3PJ0PDSRe14B3g5ba9u2LXx8fNCzZ09cunQJQUFBuHDhAs6fP6+6kqNsEx8fH1XSfuLECcybNw///PMPDh48KFnvgAEDEBYWBnd3d/z000+wsLBAZGQktm/fjunTp6NHjx6IiYlBYGAgfvzxR9SsWRPA/50zcnPhwgW0atUKurq6GDVqFCpUqIDdu3fj+++/x5UrVzR++c7L+e1DfH19YWJigh9//BGxsbFYuHAhOnbsiBkzZuC7777DiBEjMHjwYKxfvx7Dhg1DrVq10Lx5c9Xy33//PebNm4dGjRph9uzZSE5ORmBgINq0aYOIiAh07txZVffbb7/FkiVL0LJlS4wfPx7Pnz/HqFGjNF51ffDgAZo0aYL09HT4+/ujatWquHv3LlatWoVjx47hwoULMDc3z9M+ym3nD2nZsiV+/PFHzJ49G0OHDlW9r8qXLy+pt2zZMjx9+hTDhg2Dqakp/vvf/2LMmDF48eIFfvnll3xvt6B9TalTp06wtbXF9OnTcffuXSxduhTdu3dHjx49EBgYCH9/fxgYGGDp0qXo2bMnbt++rfrCDry9Yt+4cWOMGTMGZcuWxfXr17Fu3TocPXoU165dg6Wlparu6NGjsXr1arRp0wYTJ05EbGwsRo4cKVlfTgXp3zVr1sTixYsxfvx41b4AeO89je+zc+dO+Pj4wMHBAVOnToWOjg6Cg4Oxd+9etboFOS82adIEa9aswcmTJz/4eVTsBFExCQ4OFgCEq6urSEtLU5VHREQIAEJHR0ecP39eVZ6WliYqVKggGjdurCp7/fq1KF++vGjRooXIyMiQrH/RokUCgDh27JiqLCUlRS2O1NRU4ezsLGrWrCkp9/X1FQDEiBEjJOVbt24VAMTq1atVZUePHhUAxJIlSzTuq6+vr7C3t5eU/e9//xNmZmYCgLCzsxN9+/YVixcvFhcuXNC4jlatWgkAH/z3bpsp28jCwkL4+vqqyv744w8BQOzbt09tO/b29qJGjRoiNjZWxMbGinv37omgoCBhbm4udHR0xLVr1zTGpzRx4kQBQNy4cUNSPmXKFAFAXLx4UVWWn+Pxyy+/CAAiKipKVaY8RpoAkOzzxYsXBQDxww8/qNXt2rWrMDU1FUlJSaoyZf98d3vv0tHREZ6enhpfe9f7+kZ2drZ49eqVWvm6desEALFlyxZV2Z49ewQAsWLFCkndI0eOCABi4cKFqrIxY8YIAwMDcfnyZUnd6OhoYWpqKmkX5X46OzuL1NRUtVg0HaOnT58KS0tL8eWXX6rKMjIyRMWKFUW5cuXEixcvVOXJycnC0dFRABDBwcGqcuX788CBA5J1JyYmCjs7O9GqVSu17eakjP3d93hhnFeEePs+ACAWL14sKVfGPWfOHMk60tPT1eJT9vmzZ8+qyrZs2SIAiP79+4usrCxJ/Xf/1rRvH9K0aVOhra0trly5oirLzs4WvXr1EgDEkSNHVOX5Ob/lRvme9PT0FNnZ2aryJUuWCADC1NRUPHjwQFX+/Plzoa+vL/r06aMqi4yMFAqFQjRr1kxyvB4/fizMzc2Fvb29yMzMlNT18PBQlQnx9r2tUCjU3q/e3t7C2tpaPHz4UBL3+fPnhba2tvjll19UZflp7/y0c6tWrdTO/UIIERUVJQBIYjh27Jja+yTnayYmJpL9SUtLEw0bNhQ6OjqScnt7e43vIU3bKEhfU/afkSNHSsrHjx+v+kxLTExUlV+5ckUAEJMnT5bU13R+UZ7Tfv31V1XZ9evXBQDRsWNHyfvk6tWrQktLK9fPhrz0b03HQlOZ0vuOU87PpMzMTGFnZycsLS1FbGysqjwhIUFUrly5UM6L/+///T8BQCxYsEDttZLG4U9U7EaMGAE9PT3V38pfaNzd3SUZuZ6eHho1aqT6xRwADh8+jGfPnsHPzw8JCQmIi4tT/VP+unXo0CFVfWNjY9X/v3r1CvHx8Xj16hU8PDxw69YtJCUlqcU3fvx4yd8eHh4AIIkjNjYWACS/IH9IlSpVcOXKFdWv45s3b8b48ePh5uaGunXr4uLFi2rLGBgY4PDhwxr/DRgwQON2wsPDkZCQAF9fX1VZ586dYW1tnesQqMjISFhbW8Pa2hpVqlTB4MGDYWVlhYiICNSpU+e9+6XczqZNm1RlQgiEhoaiTp06qF+/vqq8IMejoMLCwqBQKODr6yvpJ3FxcfD29kZycjL+/vvvPK+vbNmyeRpC8b6+oVAoYGhoCODtpX1lH1b2sXcv03fs2BHly5eXtCvwtp11dHTQr18/AG/bOiwsDC1btkSlSpUk+2lsbIzGjRtL3hNKI0aM0HgPxbvHKCUlBfHx8dDW1oa7u7skvosXL+LJkycYNGgQypQpoyo3MTHB8OHD1dYbGhqKGjVqoEGDBpIY09PT0b59e5w8eRKvX7/W0KJ5I+e8omRmZoaRI0dKykaOHAkzMzPJED09PT3V1bfMzEy8fPkScXFxaNeuHQDpcVT+ir1gwQK1q4R5vWqoyfPnz3H69Gl4e3ujbt26qnKFQoGffvoJADQOK8zL+e1DxowZI7nSqmxrb29v2NnZqcqtra1RvXp1ybojIiIghMB3330nOV4VK1aEn58f7t+/rxr2oaz77bffSu6lqV+/Ptq3by+JKTExEXv27IG3tzcMDAwkfczBwQFOTk4a3wcfUtB2Liz9+vWDra2t6m89PT2MHz8emZmZGq8IFrVx48ZJ/lYe+4EDB8LMzExVXrduXZiZman1K+X5JTs7G4mJiYiLi8MXX3wBc3Nzyftmz549AICxY8dK3icuLi6qobmaFEb/luPixYt4+PAh/Pz8JFf5zc3NC+28qLyaI3dIX1Hg8CcqdjkvWyu/kGi6pFmmTBnJWPNbt24BAAYPHpzr+p89e6b6/+fPn2PKlCmIiIjQ+AZMSEiQnAg1xad8A78bh/IDVeRzWjcHBwcsX74cy5cvR0xMDE6ePImQkBDs3r0bnp6euHHjhuTLqLa2tuqLSk6axh8Db4c+WVtbw9bWVnI/RIcOHbBt2zbExcWpDWlycHBQPU9BOQ7ZyckpT/ukTBzCwsIwe/ZsaGlp4a+//kJ0dDTmzZsnqVuQ41FQt27dghACNWrUyLXOu33lQ4QQeRqy9qG+sXXrVixcuBD//POP2hjbly9fqv5fmTgsWrQIt2/fhrOzM1JTUxEeHo4OHTqohknExsYiPj4ehw4dgrW1tcZtavry6uzsrLHu//73P/z00084ePAgEhISNO4bAERFRQGAatjUuzSV3bp1C69fv841RuDtUL93v5Tmh5zzyrvrePeLLgDo6+ujSpUqavemrFy5EqtXr8aNGzeQnZ0tee3d43jnzh3Y2NioDWuRS9n+tWvXVnutZs2a0NLSUosZyNv57UPy29b379/PU9zKsnv37sHNzU0Vv6b3cK1atSRJwr///ovs7GysX78e69evz1PceVHQdi4syuFJ76pVqxYAFOl2cyP3fXb06FFMnz4dZ8+exZs3bySvvfu++dD5Zf/+/XmKryD9W44P9dmcCnJeVH625HUIdXFiUkHFLrfZW/Iyq4vyzTR//nzVePKcKlasqKrboUMH3Lp1C2PHjoWbmxvMzc2hra2N4OBgbN68We3LwPviePdLovIE8OLFiw/GnBsbGxv06tULvXr1Qr9+/bB582bs27dPbZx3fkRFReHYsWMQQuT6pTE0NFTt1yZjY+Nck5e8GDhwIMaNG4ejR4+iXbt22LRpE7S1tSX7UtDj8a7cTqI5b9BXbk+hUGD//v25HlNNXxRy8/Lly/ee+JXe1zfCw8Px1VdfoVGjRliyZAns7OxgYGCArKwsdOrUSW3/Bw4ciEWLFmHTpk2YOXMmwsPDkZKSIrkKpeyX7dq1w/fff5/n/dF0lSIlJQUtW7ZEamoqxo0bBxcXF5iamkJLSwtz5szB0aNH87z+nIQQcHFxee/UvHlp39zIOa/k16JFizBhwgR06NABY8aMQcWKFaGnp4fHjx9j0KBBH+zHJSkv57eCrqMw1l1Qym30799f8v54l/IqYVHKzzmqNG5XzrE/f/48OnToACcnJ8ydOxeOjo6qZyn16dOnUN43RdEH3/flXW77FuS8qPxskXO+LCpMKqhUqVatGoC8fQm+evUqrly5gqlTp6o9EXndunWy4lB+GS2sS6qNGzfG5s2b8fjxY1nrCQ4OVs00Y2Fhofb6lClTEBQUpJZUyNW3b19MmjQJmzZtQrNmzbB9+3a0b98eNjY2qjqFcTyUV3Fy3rys6Re7atWq4cCBA6hcubLGX/vyIzo6GpmZmR8cCga8v2+EhITAwMAAx44dk3ypj4yM1LiuL774Al988QVCQ0MxY8YMbNq0SXUTt5K1tTUsLCyQlJQkKzEEgD///BNPnjxBUFCQ2kP73p3THYBqZhTlrD/v0lRWrVo1xMbGwsPDQ9awn6J07949pKenS65WpKWl4d69e5JfHkNCQuDg4ID9+/dL9uXAgQNq63R2dkZERASePXv23qsV+f3VUfnL8I0bN9Rei4yMRHZ2doF+mS9qyphu3LihdnPwzZs3JXWU/42MjMy1rpKTkxMUCgXS09Nlvw/eld92Llu2rMahrJrOUXk55sqr8+/K2U7K7Wr6IaOg2y0KmzdvRlZWFvbv3y+5spGamiq5SgFIzy85+7Gm84tc72uTdz93csrZvu/22Zxy9lmgYOdF5QiEvHweFbeP88xOlIuOHTuiXLlymDt3rsY3+OvXr5GcnAzg/36xyPkLxfXr12WPgbW2tkbt2rVVU1bmxfHjxzWOGc/OzlaNjdV0eTSvsrOzsWHDBri4uOCbb75Bz5491f59/fXXuHbtGs6fP1/g7WhibW2NL7/8EuHh4QgLC0NSUpLar4WFcTyUV1+OHDkiKV+4cKFaXeU9Jz/++KPatI9A/oY+KY9zq1atPlj3fX1DW1sbCoVC8oucEAIzZ87MdX2+vr64f/8+Nm/ejKNHj+Krr76SzLGupaWFfv364dy5c7lOlZvXsbe5HaNDhw6pTcvo5uYGGxsbbNiwQfKFICUlBatXr1Zb98CBA/H06dNcf5HLz/EoKklJSVi5cqWkbOXKlUhKSkK3bt1UZcrj+G47ZWZmYu7cuWrrVN778t1336n9Evvu8sqZZvJ69bNcuXJo2rQpdu/ejevXr0vWOWfOHABA9+7d87Su4uTt7Q2FQoH58+dLhv/FxMQgODgY9vb2cHV1ldRdtGiR5D186dIltXOApaUlOnfujPDwcI3vPSGE6n6n/MhvOzs7OyM5ORnnzp1TlWVnZ2Px4sVq687LMQ8LC8OjR49Uf6enp2Px4sXQ1taGp6enZLuRkZGSH6bS0tKwYsWKAm23KOR2fpk9e7bae8PLywsAsGTJEslr165dU5tdrTC8r00cHR2ho6Oj1udOnz6t1tcaNGgAW1tbBAcHS2ZuTEpKKrTz4pkzZ6Cjo4NmzZp9eMeKGa9UUKlibGyMTZs2oVu3bqhevToGDx4MJycnJCQkIDIyEuHh4di5cydat26NmjVronbt2pg3bx5evXqF6tWr4/bt21izZg1cXFw0/pqUH7169cKMGTMQExMj+UU+NwsWLMCpU6fg5eWF+vXrw9zcHE+fPsWOHTtw8eJFtGnTRtbDbA4dOoSHDx/C398/1zo+Pj4ICAjA+vXr0bBhwwJvSxNfX1/s2rULEyZMgLm5ueRLGIBCOR5ff/01fvzxRwwdOhSRkZEoW7YsDhw4oHHa3YYNGyIgIAABAQGoV68eevXqhYoVKyImJkb1RNL09PQ87du+fftgZWWlmlf+Q3LrGz179sSOHTvg4eGBgQMHIiMjA3/88cd7pwfu168fvvvuO4wcORLZ2dkah3bMmjULp06dQu/evdG7d280btwYenp6uH//Pvbt24cGDRponGM9p+bNm6NChQqYMGECoqOjYWtri8uXLyMkJAQuLi64du2aqq6Ojg4WLFiAfv36oVGjRvD394eOjg42bNgAS0tLREVFSX79Gzt2LA4fPoxJkybh6NGj8PDwgJmZGR48eIA///xTdQWnJFWtWhXTpk3D9evX0aBBA1y8eBFBQUGoUaOGZIrgnj174ocffsCXX36JHj16ICkpCZs3b1bdvP2uXr164auvvsKmTZtw584deHt7o0yZMrh9+zYOHjyo+qLasGFDaGlpYdasWXj58iWMjY3h6OgId3f3XONdsmQJWrVqhRYtWqimOt2zZw8OHjyIvn375vpMnJJUvXp1TJo0CfPmzUPLli3x1VdfqaaUTUlJQVhYmOrLZ40aNTBq1CgsX74cHh4e8PHxwfPnz7F8+XJ88cUXavP4r1q1Cs2bN0fLli0xcOBAuLq6Ijs7G/fu3UNERAQGDhyoejZBfuSnnYcOHYqFCxeie/fuGDt2LPT09LB9+3aNw2Rq1aoFU1NTrFy5EkZGRrCwsEC5cuVUNxcDb5MFd3d3DB8+HKampti8eTPOnz+Pn3/+WTLOfvTo0fj999/Rrl07DB8+HOnp6QgJCdE4zLEgfa0wdO/eHYsXL0bnzp0xdOhQ6Onp4fDhw7h69arafX61a9fG0KFDERgYiHbt2qF79+6IjY3FihUr4OrqiosXLxbqFRdLS0s4OTnh999/R9WqVVG+fHkYGxvDy8sLJiYmGDRoENatW4evv/4arVu3xp07dxAcHIy6deviypUrqvVoa2tj8eLF6N27Nxo1aoQhQ4aonhNlaWmJBw8eSLab3/OiEAIHDhxAp06dCjzlbZEq4tmliFTeN40dckwHqpTbFKLXrl0T/fr1ExUrVhS6urqiXLlyokmTJmL69OkiPj5eVS86Olr07NlTWFlZCUNDQ9GwYUMRHh4ue7pSId5Ogaijo6NxWjdNU8r+/fff4ttvvxVubm6iXLlyQkdHR5ibm4vGjRuLhQsXijdv3kjqt2rVShgbG2uMR4j/m95ROV1mz549BQBx9erVXJcRQghnZ2dhbm6umtrU3t5e1K5d+73L5EVaWpooW7asACC++eYbjXXyczw0lQkhxJkzZ0TTpk2Fvr6+sLS0FEOGDBEvX77MtQ/t2bNHdOjQQZQpU0bo6ekJW1tb0alTJ7Fq1SpJvdymlE1JSRHGxsZi4sSJeW6L9/WNwMBAUbNmTaGvry8qVKgghgwZIuLj43ONXwghPD09BQBRrVq1XLeZmpoqpk+fLurUqSMMDAyEiYmJqFGjhvjmm2/EmTNn1PYzt+kkr1y5Ijp27CgsLCyEiYmJaNWqlfjrr79yfX9s3bpVuLi4CD09PWFnZycCAgJEeHi42hS5QrydhnbJkiXCzc1NGBkZCSMjI+Hk5CT69u0rDh48mOu+vS/2wjqvKKfkvHjxomjTpo0wMjISFhYWon///uLp06eSupmZmWL27NmiatWqQk9PT1SuXFlMmjRJ3Lx5U+O0lFlZWWL58uXC1dVVGBoaChMTE+Hi4iICAgIk9TZs2CBq1qwpdHV139sf3nX58mXRtWtXVf+uUaOG+PXXXyVTsOa2zx9qp5xye0++bzrO3KZYDQwMFPXq1RP6+vrC1NRUtGvXTvz1119q9bKyssTMmTNF5cqVhZ6enqhdu7YIDQ3NNZbY2FgxceJEUa1aNaGvry/Mzc1FnTp1xJgxYyTTXud3WtW8trMQQuzdu1d88cUXQk9PT9jY2IjvvvtOREZGamyjvXv3CldXV6Gvry8AqKYQfXca0yVLlggnJyehp6cnnJycxG+//aYxxg0bNghnZ2ehq6srHBwcxK+//ir+/PNPjdOh5rev5dZ/3jfdqqZpbnfu3Cnq168vjIyMhKWlpfjqq6/E/fv3NdbNzMwUAQEBws7OTujp6QkXFxexZcsWMWHCBAFAPHv27IPxCaHev3Prr2fPnhVNmzYVRkZGAoCk3yYnJwt/f39RtmxZYWhoKJo3by5OnTqV63Z37Nih6gO2trZiypQp4tChQxrbKj/nxePHjwsAYs+ePRr3taQphCiGO6iIPlHDhw/HoUOH8O+//0p+pRw0aBCOHz+u8Smh9HHasGED/Pz8EBUVJXki7pIlS/DTTz+pZvHJq9z6xudg4cKFmDhxIv7++280bty4pMPJEwcHBzg4OEie1k1UUo4fP442bdogODg4T09W/5x4eXnh6NGjSEpKKpKJGD5m3bt3x8OHD3H+/PmPcvYn3lNBJMP06dMRHx+P4ODgkg6FisDr168xd+5cTJo0KV8JBfB59I309HS1+1VSUlKwYsUKWFpaSp5RQkSUH5ruQbx69Sr2798PDw+Pzy6h+OeffxAREYGFCxd+lAkFwHsqiGQpV64cEhMTSzoMKiKGhoaIiYkp0LKfQ9+4d+8evvzyS/Tp0weOjo6IiYnBxo0bERUVhVWrVqk984GIKK82btyITZs2oUuXLrC2tkZkZCQCAwOhp6eH6dOnl3R4xU55j9DHjEkFEREViLW1NRo3boywsDA8f/4cOjo6cHFxwdy5c9G7d++SDo+ISrH69etj586dWLp0KV68eAFTU1N4eHjgl19+Uc0QRh8X3lNBRERERESy8J4KIiIiIiKShUkFERERERHJwqSCiIiIiIhkYVJBRERERESyMKkgIiIiIiJZmFQQEREREZEsTCqIiIiIiEgWJhVERERERCQLkwoiIiIiIpLl/wOKzQYum+rH1QAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 800x270 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "explainer = shap.TreeExplainer(model)\n",
    "shap_values = explainer.shap_values(fg)\n",
    "shap.summary_plot(shap_values, fg, plot_type='bar')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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mJXEbACGyaDhk8ZHFR3EeZwfoioXorSqIuVA2Q8C2aeqJ0xcM4U8XYmJpv048ZtBbVWRDkRLdkVSNjzDx0LHM/NaWGGGDO+Y8THbQxPLpmEEfSPCnsuh2QfDZukY24MMK+glU+6ltDjBx5zp2+PpkArHKBkw6bvGXU9+mvz2DBFKBAFITSEcSsEyEEAjHwTAt6pqD6HVBlq+ycITA1DVSfh9Jv68wPkADU7r3kyYlIdMkmjXRy16PYnIV7Z1u5FlIyaRaqIsJnl8DSZ/OxESqZH1LCPQqHwyUdokkNI0FVVGaTIulkRAAdZZNrMjiNCAErwf8oAn8jqTOkRhI4kLQZ2igaWhS0mTZjDYtYrZDjWnzf6fUcuAeUV55I8lTLyQI+AV/atH5QJZF/qUEW7rK2TsPupDsN1Vnj4k65+zhI+IvvSO/ekeSO97yjkUTaGEfTr79nFvXKzNjU4Hu7itgQOLHwZLehFPuz3Lz25WNgPENGu98w0dtcOOEeGtcMv56G7tc2ZgOQR1eO9lg60aVD2Sk0yZ+CsBoecmnXJMPT0tLC/PmzaOjo4Ojjz6acePGYds2/f39VFdXo+ubNsZFCfrPCOvWrWPu3LmceuqpnH766Z92dRSKD8dgCi66A/mPVyHlwLh6OPcLiK/vWbres4vh5/fC+23I1Z0IWXiBO/jANa7gGhZEmcAtelSdvCfaX75Z8m32kKuQjy4EBCYBnBJHocQgheY1DCQCBx0LH2lcH71WGyAQlbCmt2KvAhDH7kD23S7s97oo7fB1xXbuKMrnL7Q9+1DgpO2xbnmJTImpxY3Cu+nXKjuRNSwsDCx8Jd/V/GR3ai4p5HxvO/MJ2q5dXFKuDwsDhzQGQcyS6L+JTpqAV2NYXV9NJmBUDIBFwrR1PaDZrKupQtgCWxcgHIQl0SwNWxMkYj7QQSu6REatH3NMlPSyAbIBH7ZPR3jnMxRPU05/QzVObvyBlOiWRaTK4Phb51DVHCpZ9437W3nsD8uRgOkrq7eU6LZNIJ0tOWeJYIBUuFBO0mcwGAoCoNs2GaP0HAspCVgWIdMiYNtkNY2+3PZSUptK4ysS4L1+HxnDoMqycquQ9BkYUuIvG4tgAw821ROUEoRAcxzGWXbF9X/b76NfCKY4pX1L3bpGp6ExJWsR9l7hphB0BXykDY2twzZOq9vDErNsVkcDvB8pPYdDCfpiZjQI/D6N2pBgn8kajyyxeH25Z6kyNPDrldsJAdIBQwfLcf9yeNH5HL8+0ODMnQ1+8rTFXQtt1g6458L9seXq6G539ecNztpx40TOG22SnW4fojHhKfxJVbDiWx+/l39Rl+TCFxwWdkn2GS+4bE+N+pDqDfikaBUXA9AsL/5U6/FhkFJyzjnncM0112BZFkIIHn/8cfbbbz/6+/sZP348l156KWefffYmlb9ZPfSZTIYHHniAJ598kmXLljE4OEgoFGLChAnstNNOzJ07l0mTJm3OKm1W1q1bx7///W/22WcfttjifzcThKKIQS+iFwutf72Pim1D9yA0VkNLN3zrBnhiPkwbDZceD1+cA7/8F/zhITAtOHFv+MmXoG6IDB1dA/DoW3DpXbC2G47YBd5dhVywDnAFEovWwcl/Rq5sR1x8DLy4BE67HhauxX1ba55cz0k8EFhIT9TjRdaHQ978HNbOM9C/sRv0p2BpG+LRd72IuCurDTJo2F7JPgQCDcfbl0RgkcVPhH4EErPXj9Pr5CPbgNczILDR4K53vE+FyH+hrByaJ+/t/JEJHDdiv20zWtCAIi3r1lV423gRYq9RoGPjym0NAzt/XCDou/R5Ur+dR+jYWVRd/XlSHVnKZ0600Lyov1Nh5TGw87XTYEhBh5TYQEt9hLHdcSb09JHxGW5EXPN5DQI3aqz3ZYnXlUaArd4siWwcqWtIw40mA2j2EFYMQDgO+R4UIXB0ndSAxV+++AK129Wz77em8MJraV59rp/qeIIA4GjakHXXhxDHwUy2RNCHTIvBoCsiddtBlL0NpRCYuo7PdghnslA0YNTnOHkxn9U0WqIR4n4fftsmZFmELRtNSnTHoTscxJ8tPeZOv4+IdJus0pGMyVpDzrJrSKgWhX6loONQb1pMlpI+XSOl61iaeyeujAbJ6Box0yLTboJnE+v2a1RnLCh30kg8AT206FzaJUFzQAieW2WD47iNgJwwr2j8SUiZ7m0YFG40XtPAkp5IL1pfCM5/0uaCJy2sYu0tZL7e7mfAkfSk3HvntoUOF79g056Ao2cIrj5ARxcQz0ounOdw13uSkFF0bMV181g5ACc8aHHTIToBQ9Cbdvj+0w73vA/VAfj6LHh6DbzaCts1wWV7auzSLIj5K8/Twi7Jt5+weWmdu8ucy2hpr2RJj80zx2+8xBrIuAOWh9qPopKRmIP+t7/9LX/4wx8477zz2H///TnwwAPz31VXV3PUUUfxr3/9a5MF/WaL0K9du5bvfe97rFixgh122IE5c+bQ0NBAMplk6dKlzJs3j4GBAR588EGampo2R5U2O6+//jpnnHEGP/3pTzn88MNLvpNSks1m0XUdw1BjlTeZrAnzV8GEBmiq2bz7XtUBvQnYdtKwL8k8GRNOuxbueA6QMHdnuOP7EPAiR229rljebrIroNd2u+X6iu6Nd1dBOABTRxeWLWuFdBYmNcGitbDFGHh2IZz6J+gYgOnN7j4WrKaEbSbA/LJlAjhgG/jXDyEWhtWd8OUrXHE+BJIglTECG3HXWfDVq13PbgluVDonLN0YpJ6PrFcKelnxSQYCbtd+Yww6B7E9sS3RPUFcum2lpUXz9iu9z6W2HFmyTmFZBr8n7ksbADkENrIoVm+jEbn6MPi/f5Ai5PVGFMoqnRJEguYOMi0OVrr1w/PIS3xe1D1w1FYMBGvou+P9sjrk+jocQpRaPiQQJwQIUj6dtqoYfssm7mXdCcdNIgNZNAnpgI4TkIwaSGEL6I6FkFmtJBpv64LBusrBnImQG5l3ijP/SIk/lS2xV9maxkBjdcnvRjgOhpcaM+P3I8IGXUaI2sE4unSPLeP34fjKlbjEn8nis0qjtI4Q9NRWl5yDvoCfSNakPxhA6jpWWQPBb1o0xRMI3Kh6e1XUvUMcSW3abZktq6ki6StEfIWUzOjtyx/fktoqwrZDQzqDLiVJXeeNmhiW5p6TOtMi5jhYgryvH9xr/VwwQJ3t0CDde2FCJlsSqc8KQWvAR0rX+MALCkyMp6k1S489I2BxLFQpxHMR+uEQ3v/ZNmQs97OugU93/0pOsHTXyRHyeWVLKG7P5MS9LFsObqOpIuoPkxp1frQLnP6oLJQhJTNr4INuSUYWRf9zLWljPfvR4PRtBaMjgl+8LLE2oII04MRZghsO0vB72YhsRzLtRpuVA8Nv99dDNE6YKXh5naQvA7uPFdQUWYcWdkkcR/LLVyV3LpFoAk6aJfjTARq+TzDr0X8DLcL1zo+VP/mUa7LxTJ8+nT322IObb76Z7u5uGhsbeeKJJ9hvv/0AuOKKK/j1r39Ne3v7JpW/WZRjOp3m7LPPZu3atfz2t79l3333rVgnk8lwxx13bNRgqM8CiUSCSGT4wUMfFiEEgcDHk2P6f5J0Fq56CH51L/TGXeH746PgmwfAy0th9kTYYuzHu8+s6Ua5NQG3PQt/f959eYxvgMd/OvT+1vXAi+/B84vh1mcKy+95BbY4C276NvznLfj9v8F2IBaERMZ9WY6ugX+cAyvb4ed3w7I2d9vDd4Yv7+5G11/xRJ0m3G38RqmQfr916GMpF/PgvhQfnw8TzoBb/w/O+evw2w+LgGOvLPw7jwMUZ0TRkZ6tpCC9Sy0ohaGuRf/NZFyx3TngRsgI4CMzbGzf8SLhmvevwttfev0G0vufTs7yU26EcddzcDCQaPmGQ5nbumRwqo4k/n8PE8BHlkA+ju9USHZ3W8PJ4Ery0ke0BnlnvkRgIxi45wMyehDKfPFd0TDBrE0gaxLALNmLjZY/8qBp0xBPomfc2mR1nVjRjK/BjE0ajdV1MSyfTtavU9uVzh+wrQk6xkTxmRaGXWyhcqPxTtlYBykE2aAfI2uhOQ62rpOOBisiqlqxTUWAk7ZpcAZLroPPtMgYpdYP3XKjybmrmyPtL7VZ6LbNqHiCrGFQm8mCEFhC0B8KYmsaSEnYNPPnyTJ06jwRn9E0TM8eUizmc8fXHQzilxJH06jJWnSGAvTl9i8EttAwHMnkVBpbc21LugS7yHDWJwR1jmSM47jvRSkxhSjx9fulxHAkmig670O8Q23AZ9mYIX++Dm5lvaj7MD00WE7hJ6KJwgm1HNd2U9I4KFPNpu0+fxB5AY4QrmiXMKSKLr9oHisH4IwnioS5ABxY1OGVoXvLdEpFvJDlP8z88V8/P7fDDeMAtyyUzKiV/HiOW8GnVzvrFfMAZz7hcM4z0O31ymkCfre34ISZGoffa/NK2ePUlnDju5Kt6iXf32nDWujldZLWhGS/CYLqQOn6g1nJk6skjWHB7mNHhq76MIzELDdr1qxht912G/b7SCTCwMAGbqr1sFki9P/4xz/43e9+x8knn8y3v/3tD7VtPB7nL3/5C0899RTt7e1EIhF22WUXzjzzTMaNG5df79///jeXXHIJ1157Le+99x533303HR0dNDc3c8opp3DYYZWp71555RVuvfVWFi5cSDabZcKECRxzzDEcc8wxJesdfvjhNDc38/3vf59rrrmGd999l+rqah544AESiQS33HILr7zyCmvXriWZTDJq1Cj2339/Tj31VILBYEn9ytlhhx244YYbhvXQW5bF7bffzkMPPURLSwuhUIjtt9+eM844g2nTpuXXK95+5syZ/PnPf2bZsmXEYjEOPfRQvv3tb//3Rv6XtMB+P4F1vZXf6VrhRfOjo+CyEz6efa7sgH1/4v53KEJ+WPgHmDyqsOyWp+HUa11Ly6aSE+qfQVwRHKTUAGsjGMLP6r7RSz5Jop7ZJJeq0c1z4wpf3RvsOUS+xSIBnpPmFgHwIui52pj4vOi/8Gqb9eLila8GO+9rxzPPlP52rHyTQPf+lSul+NhLS3U860+xiC+20RSjYzHURN4y/yfoJ0KYTH49C40MPix0THRMjLylx49JPYmS+lkI0hQsKBlvAK+FwC7PBgQ4AYeu2jC2zyCQsAgn3OvX0xhioC6E8GaS1S0HR0DWbyA9ISc1DcfQkJp3rEVCUAKOoWHrumehAc1x8hYdRxNkAwFwZH4ZgBRuZN8yCjYd3bLxmRapYABH0wlkswjpYBo+LE1g+wwcTUN4dhhb08j4S3sWsppGfzCADkQyWarSGbK6VtEwSeg60UyWhU0NJZF1gAkDg8SyJkmfj5Tfx4DPoN8T9A7QKwQTMlnCjiRueD0DRRiOwyvBAGMpvTM0KWnMmnT4DTJC0GharPb5aJSSJdEg/X6DkGUzfTCdv3sk0KlrZDRBfzSApZf2lpAy3eckFIl2LyrvK2os2Y4bHMgPJBaFKL0tKwW9oble+vIeAK2ovKEeZT6t8nMuWm3KXIva9bfkdqkL8JVF93MNCCmLOwJLT+iHDCDuORbmfdmgPSHZ6mab3sqhIBvF7AZ4t2v938//+vDva8uRfPE+hweXuyewyg8PfFFn7/Hu8bzSKvn8vwr1O2Ci4MEvah/bPAOfBdaIXwAwXl7wKddk45kwYQJf//rXufTSS4eM0J922mk8++yzLFkydC/4htgsCu+pp54C4Mgjj/xQ28XjcU455RTa2tqYO3cuU6ZMoauri7vvvpuvf/3r3HbbbTQ3N5ds88c//pFMJsNRRx2F3+/n7rvv5uKLL2bcuHFst912+fXuuecefvnLXzJ79mxOOeUUQqEQr7zyCr/61a9oaWnhu9/9bkm57e3tfOtb3+KAAw5gv/32I5l0J1Dp7Ozk/vvvZ7/99uOQQw5B13XefPNNbr31VpYsWcI111wDwPbbb8/JJ5/MzTffzBe/+EW23357AOrq6tZ7Di666CIef/xxdt11V44++mi6u7u56667OPnkk/nzn//MlluWZrt44YUXuPvuuzn66KOZO3cuzz77LLfddhuxWIxTTjnlQ53/EcMFfxtazEPpS+ZX98LX94MZH26yoiG5+J/Di3mAVBZ++g+41buPkhn47k0fTczDZ1bMQ85mkoK8QM355Ideu/yTg41T0iBwxX0uYi8q+s2hWOLiucXNkkGnrnB3B8EaRcsFtpfpfWgnpswLegGYaJ7cdfLLXCnjetGdfIhw6OMr1LXyuIUXbS/ft0NBu+Sw0TAxSHs2HRMDn1cnA4de/CUTRrn1tD3LTWn9nDLRriMxGTryJQEjAw29abI+nUzAzXLjzzqkIp59SBOkIgGEZaN596mwvQaV7aDbDrauYQdKBbTwdqA7DkLKfEAX3Ghz1ouAZ3wGoazboLM1gVmUpUY4DoFUJr+dres4uk7SKDRYNNsmnErjaBqOJpCaRnaIIIfftqlJZ3CEwBGuZpRD2FKqMxnCWZOGZIrOSCHbT8i0iGXdyH7YNMkYOoHi55CUzEpl3GauEPhtB0sIhICMEGSFQBc6ky0bs2ySMlMIXqwKM1g0eNhnOTRlTGbE07QHfQwaOh8EDWqzbrMs5EjqHFf8NvUlWVkdJuVtLxyJZtk4joPU9YLA1mVlBF7X3L/cMyhnsdGKBHfuguZsOUORj/yLyp9EcTmacD/nluUac7kfRMklkSDKfsk5MS9E5c8x1/PwIW0tuYj8r191NlnMw/rFPMD7ve7kXMMJ8LuXyryYBxjIwnefsnn7JPd+/t7TpY2NJ1ZJbl8s+cbs/x5B/9l9Ew7PUUcdxXXXXcfXv/51qqtd+1/OlfLYY4/x17/+lR/+8IebXP5mEfQffPABkUiEsWNLLQi2bTM4OFiyLBgM5qPa1113HS0tLdx8883MmDEjv87hhx/O8ccfz/XXX8/FF19csn02m+XWW2/F570E9t9/f4444gjuvPPOvKDv6urid7/7HQcddBC/+MUv8tsee+yx/O53v+Nvf/tbPpVQjpaWFi688MKKRsnYsWN56KGHSqLfX/rSl7j22mu56aabWLBgAVtvvTXjxo1j11135eabb2abbbbh0EMP3eB5e/nll3n88cc58MADueyyy/IX/sADD+TEE0/kd7/7HTfeeGPJNsuXL+fOO+9kzBhXtB599NEcd9xx/POf//zMCPqenh4ikUjeYhSPx5FSEou5AzCz2SyDg4PU19fnt2ltbS1pvJV8fncIu8hQSOn6zmeM+fD7ANra2hg1apR7Heav3ODunHdW0tvd7e5jdSf0f3Zn0fy4cO/QnHhxoCgiXkxBwrriX+LgRuwLQlx4MXA3gq2DN1RUK4r4S0TeJgNge5H54hq5wjUnj12rS6WIXv8xaThY+PCRKWsYlEfmS4+y+Hi0omW5ZoHwjlPDQqJTGDeg5fPP53oA3Ai/RqroGG20vKAHN2NOOT6cknXAzXKTIICNjuEl+HSvQHmOnkKPgMC13wQzNsShp8pPT23YjcIXn6/cIcjKMyzsSiuMpHhBbk/eWfCsN73RCL2RCKN7+ghns1hGaWYb6UXqfZY7eFhzHJyy1G+644pIDdwGh2NjarZbVll9dCnz1paMz3B7BsoORnckaV2nIe2m90wYRr6HoSsUpM7zzOuOJK0JMkJgCsHEZDp/x1hA2tDQhJvKMlFUZzFE53mPrhXEPIAQmIaGk3F/Sc1pk2ZMlhg6a30Go2ybWFE5OtCUzLCqKgxSoqey7jm2JbY3EBlwfy5Did3yHsLcoFoJBHT3u1zkXnjrlh+G5ZQMUs0PstVE6bpaWR1yP+H8wRSV7zC8dWgocnXTPsQ2wNpBaBmUvN1RXpmhMcTQzqINkbZhZa9Jgzb0O2p+Z2Wh8zsL76h3OyvLnN8pP/q7lrL34KdI+XNqJHDJJZfw9NNPs91227HnnnsihODXv/41F110ES+99BLbb789P/7xjze5/M1yRuLxONFo5RTrK1as4IADDij5u+uuuwB3kOgjjzzC9ttvT1NTE319ffm/UCjE1ltvzcsvv1xR5rHHHpsX8wBNTU1MmDCBNWvW5Jc98cQTZLNZjjjiiJJy+/r62HPPPXEch1dffbWk3Orq6oqBrAA+ny8v5i3LYmBggL6+PnbZxZ19csGCBZtwxlyeeeYZAE455ZSSH8+MGTPYc889efvtt+ntLY1M77PPPnkxD27rb6eddqK7uzvfq/BpU1dXVzJeIBqN5h8wAH6/v+QBA1T0xJR83mOroXcUKEtNZugwZ8am7QMYPXp04TrsOXPofRah7TWzsI+po10P/H815Q/43JtWVCx1JbVBTqiL/L9z8Xg7b2op3trBj40fGx9ZwmQ9m07BwjJUdFnLDyTVvCGurkiXFLLSFK9fuld3LQc/rq89Z+wpPeqh3tquUIfiqL7l1TfXkMnlyZcY2PkGTGEcgSA3CZVEI4BJlMLvONcgyGEMYW8ysCkeSmmi0U2UDH4sdNL4SHnlS89bX3r+yNcxR9bQ6KkL4+gC3bS8DDVenXJibYhTUmwDyf1XegM1ba1y3+BGkUOZDBrQVl9LR3VsyIh58bJgJltSJ822MSyrQrwFs1l0u+icSVlhn8l70ot1rCPJapqb/14IopaNreskAn4Sfj/d4RBrqqI4QNrQkY5kav8gs7v7qMpm8dk2AdvG9I5dAsky240UgljxlL5SYg6joYq3dIC4dy78QzQKYqZNLJkhOpDKZxwSUHEehuwNLF9WfG5Mr6mme5ltsrZnq5Gl2+dEeG55breW431XtL7trW/LysaBEK7NRvfKtcq2za0zlKs4v+8Pp7YlsHoQ9hq3cdLpi9M3TfSOj8G0et+w76g9h/DE7zGu8I7aY4jv9xwrPvq7lrL34KfKcIGUzy7V1dW8/PLL/PCHP6SlpYVgMMizzz5LX18fP/3pT3nuuecIh8MbLmgYNkuEPhqNEo/HK5aPHTuWP/7xjwC8//77XHnllfnvent76e/v5+WXX+aAAw4YslxNq/xRlfcCgHsS29ra8p9XrlwJwJlnnjlsnXt6SieNGTt27LDJ/u+66y7+9a9/sXz5cpyyfMPlPRAfhnXr1qFpGpMnT674bsqUKTzzzDO0tLRQW1tbUs9ycl07/f39H+lm+cxy2VfdrC2vegNCd9sC/ngqtPTASVe76RojQfj9yTC2fv1lbSw//RK8tQKeW+R+/vwO0JeAlzzv2x5bwcXHF9b3GXDbd+Erv4fOAddjHwlA1zD3x+9PdhsBzy12B8haNjTXQFUYlqzbuDrmAuPNtdCfgGR2Q1sMzyZ793OpFwsP39wjuNyO40beM9j4SyS2mze+OMuMnvevA1gE0b1Bn5qwsWX5Y01QSD7poJPNl2nhp5AystJkK/Ml5P4rkd62xbFmDSsfuS80WHxerptCk8Eewi9fsL4Ue9elV8fSZ5w7b6xFgpAbMfcGFmcxEEjCpIkT9hoNkoAXc8/iI+DlpU9V9GJAVvNhGQJfttCUKBy/QLqjcfMMxPw4nmgUEvzJLFIIwhkbI2uTiPrJ+jTKA9uOJvClM95gWAPLbyAcsDTora2memAwn9nGrYBEs90hvKP7+sn4DPyZLLqU2GV2FCndgavCdv330UQSW/cacraDY1TmI9JwRX1rLErG56MmlUYvsvGEslkM2ybjM1gXi4EmCGdNQtLG9hXy1mc1zZ2oqoi0YbAuGiat6ziOQ3cwQH3WxABs4aakLG7glDckAOqyJhMSKVZEw2Q1jRrbodzoF3YcpJQI4Y5WWRkw3HEFDqSFoLrsqC0Bgz4f+Ax000bP2QCLelZcEW27aSv9unsRbaf0GSBxPxdbYhzc8DIUpbf01rFsV+z7vUi+7bj+eEsWvPG5ShgULDTFP0LHcQ8gN/gVCqLc9PLfl1Puq3eg4kbYSJrCsEMTbNOg8Uqrw39Wrr+g/9tB0JuWPLGRncgAo8Jw26F6yaRb5Xx+isbZO0quflNiS5hWA9cfWDj2q/fXmHuvzeIe9xKcuo3g6BkjS/xuiJFouQEIhUJceOGFXHjhhR972ZtF0E+dOpU333yTlpaWEsEZCoXYddddASrEcm6s7i677MJJJ5200fsaSuQXl1f870suuYSGhoYh1y8XxjkbUDm33347V155JXPmzOH444+noaEBn89HZ2cnF198cYXA/6QZ7vih9Bz8VzGqBl75Nby31k3jOKHRXb7dFFj7Z3ivBaaMcsXwx0VdDOb9HJauc7uXc4NfV7S72R2G8ukfsK1bn0VrYXKT68H/2lVumk2/4frrI0H44ZFwttcbdPjO7ueWbth6Aug6LF4Lf3oEbn7a9eofvpOb0eeZhfC7+90Gw5wZcM033RfcrAnwwntw+GWFvPcbYvct4aWlbsPju1+AHxzh1jMScOu8eO2HOFlujLuY4V4trqhPIylKA4g7zDU3Yyx5AZ4r3ZXpYlo99rLBIR/0uYi8QbpInNsYZLDx5WP2Q9dwqJi19GL1uRoJzBKxXmrJkV4TYKjBprn1y3sacoOJc42NXJpKCQTIYqNjeZl2qArgDGQxgCqS+Sw2IMhioCNJE0DgYA5ZB0kq7MfIZsuOVpKI+ZC6wN9v5VNVlmdSEbgZbfxZt85VfRkkEtOnkYz4cHQNzZaYuo7fE5A+x8IwLTIBP9lICIRgMBohFk9g2K51xjBtsqEg0oveB7OmO6DVtJDCy0OPl9kG97NAoNneUGY7t7xIdJYJPInA1A0GgkEyhkGzl6YyksnkB+GGTIuJvX0sHt1EPBCgOp0hZFr5XPTDPVnjfj+WlKDrjM5k6TV0no9F6DEMorbNjskUYdw7z+84ZIue30JKqk2Tbr+fjPd+jDmSsRmTVr+BIwQB26EhayOEYEnQYEDXC9dGB9MRBLM2aa9cKQRLqyLeORDYATebj27Z7jkqj8w7EtJW4SKXW17AFf7Ci8wXnwgnJ9KFK95tp+CdD+iuR1/XXNtLWZ7+oU6oEIKbDhX85FmHtQMwtR46k5KB4nUt6Ubt10dpdxwba7/bog5uOtjNXR8AHjlGZ3mf5Jq3HH7/RmWFJ1W5aSof/5LB8j7J+70Ov3pF8swwj86dR8NPPqdx8CSxUSkrf7+vzvm7SDqSMKsBtKL7elqtYOHJOgu7oD4EzdH/LjEPI9Ny80mzWQT9fvvtx5tvvsl999230VluamtricViJBKJvOj/uBg/fjwANTU1H7nshx9+mDFjxnDVVVeViOkXX3yxYt0P2001duxYHMdhxYoVTJ8+veS7FStW5NdReGw5rnJZ0O/mcv+kKBfuxVlthsLvK9Rn28nwzu/dNJvVYYinIehz1ymmocr9y7HVOLj6VPjd192sE7lJqXaZAd+f65ZTU5ZSde9ZsOYGOPMGeOgN92VrOrD1RPjJ0fDAa/Cvl6Eu6mYD+sYBrvj3GwXr0t6z3P8+9hM460Z4cr77wh7Mjb6S7gC5ikh+cfS7QPkS6Q2idYPBDsUCW3hhNek5vosRQR3tC9uinTwH57BbKPXsCwpTN1VONqR5Q3EFxS73cqPP8JRqnPV1AQuoCqBrQcy+XArJXOR+6L25zReTXKae4v348mkzvaU7jSP71Cr8WEgE1bij9/qpLurtcBtCBg5m2dnPBA0cXSMR8xFKWmiORAg3rabUXVvIQDRAJOnaRariafqq/CWTAPkztisOTelmTJUSv2UTTtlI4eWzr/KsMV7mEQFo0qG6uw/NcUjEIgxGIkTiCcJJt/Fp+Q1yaSz96QxVtQY9UscwbZAWMuf99kS71AWObZe+7h03HC6kLNWKUmIJwUDQtQBmDIP2cJCGRIqsz+c2GKTEsG0Cpkksk6E/FCKj6/gt2zOMQcBxCFgWmSI/vu44BC2LVeEQk5JpTODxqhgpL6NMXNd5Phrh0P44tqFRbVnENZ2MrhGwHcak0gQcSW/Z82C0aVNlOQzqGhpQb7mCOmpL+ooHUUpJn89gnYRpyQw+6fBuczWOU9ZDZOggJbbPG9i9vp44XatsFOUGrg6VzCoXwTfL7DwZC4IGN3xe50fP2HTbotT+YsuK/Ry9heDk7QxO2lbSl4a6kOC1Vofd/5ItFG86CN96fr9CEAtKRocEnUnJF2dofHmWxkUvOCzqhn3HC3YbA39+180bf/R0we/2BtPRqA1WvsOn1AjO2l7jundsUkX5DsZH4T/H6HmRPaVGMKVG5+DJbjrJK193uH6+G10/dbbgezsKakMfXqCOighGDZM9WwjB1o0fusgRw0hMW7kx4xiFENx0002bVP5mEfRHHnkkd999N7fddhszZ84cMg99OZqmccghh3DXXXfxxBNPDGm76enp2WCWmKE48MAD+dOf/sT111/PjjvuWBF9j8fj+P1+/GXpzIZC13WEECXRb8uy+Otf/1qxbs7u0t/fv1H13Hvvvbnrrru4+eab+cUvfpF/mCxbtox58+ax3XbbldhtFCOUWm98yYftQQj4hh4nUC7mc1RH4G/fG/q7w3eGP5dZ0IabvXZcA9x3vvvv3jhc9Hd4ZgHMGg+XfhlO+zPMy40d0SAchIDhTrrl4f5adM++IrAJYhHCT8IT77nIZyGlhUB4Od+lK+qjIfy3nIh+1Hb5coXvNqRZKlYL9pHKF4CkYP0Rnokm1ydQSnnEXiCm1sMH3fmlOnZ+IGvxUQIQ0Klr/RFWW5I1U6/Dh+kZh3Lx/lzjIifdZVGtctl2cuWVzvuq1QXxV2melch9qPtwCJOiGvecDxKmizpAw4+FD4skPtK6n0zAIBPwUl/6dQb93oRHgwl008GX1TEDBo4mCGIRwCactYit7mZFYzVZn0EoaREZtBBSMljlJxXVqe3L5s+WBAar/AWBJrxpr2TuiKC6d4Cq3gE3mh/QadqxjpUL4gSypjvnA4CUfOn6nbj3smW0Lonnl5VPSDXU1esPBalKp0tSXyZ9PpY31Ocj/eCmwjQNHSe3nhBYhoHuOPn0krp0s6T0hgL4LIeAY9OQTNMXDLhi33GozmQxHJvVoRC9usaL1dG8mM/vSwh6dY3xpoUN1EiLrID6bME7rw/Rs+qXkojtUGtZCKHhCBhjuo2YLkNHl5JGyyErBP0Bney0Kr69p5/T7swM2eFka5rb+7ceMT+uWmD6NNr7huh1Hm6z4YJYEmI+wanb60yoFhzyD8u15theBN/wfgdeuWfvLPjZnu59qQlBnfdo2rlZ453T/Pz0WYtFnZItmjTuWbF+oXfeHJ0L5pRehwMnlX4+70PE+abUCJ44VufnLzu0xCVHTBVc+LnCBFTlxPyCi3bTuWj4dOSKjWAk+g2eeuqpikahbdu0trZi2zaNjY0faX6jzSLog8EgV155Jd/73vc499xz2XHHHZkzZw719fUkEglWrlzJ448/jq7rjBpViHB++9vf5p133uFHP/oRTz75JLNnz8bn89Ha2soLL7zAVlttVZHlZmMYNWoU559/Pj//+c859thjOfTQQ2lubqa3t5dly5bxzDPPcNddd5UMLh2O/fffn2uuuYbvfOc77LvvviQSCR599NEhc75PnjyZSCTC3XffTTAYJBaLUVdXx8477zxk2XPmzOHAAw/kscceY3BwkD322COfttLv9/ODH/zgQx+7QvGxUhuFa04tXfbEhfDHx+Dxd2HGaPjB4a7//7rH4eG3kUGfm97DZ2DPW4LZUYg/2/gxSiZByqWPLJblNkLz4ysT8wC+0+aQ/eNLRUukJ5jd2V5trJIZZEvLBjG+FrGmD4p6CCQSWRdBTGtC2hJtcgOBM+agzxrFwLjL8qlRc4Nay9NGAoRO2QER9uOb4sc3rQZ9WfuQ5hwt77ovvLBKU2JK9CofNRfuQ/K5dRhjotScvg1r9vpHSXlJwgTIoHsNozApAmQBgd87/jAZ2oLVDAxhJzQsi+ps0hXayTSddhRDSgJF/naf4zCuI86gUdheOFC/VTXW1tWIV7tIf+COETF9WqW4EwJL14jXRKnqH0TYbiNGtx32+vE2bHnMJO75vzdY9VovUgiElEzfp5GacWF2+8pY7rlkCdJxyzH8GmO2ipJoTTK4Ku7muy/an1Yf4v26Jvymxej+AQKWRV84hGE7ZIt817oO06eHyb6RoJyMYZDw+xFSojmSgVz6zSof66RBUzJFXaZ0nIruSAKOw5vREBl96J6qQUNnhSZYGgqwy2AK06dj6jrVlsUOWwdojAV59N1C+FdIybhsFkO6M8X2+AvpVceYNt/fy8+4UQbzFmRpqtY5Yf8QE5sMFq21iCSy9EcKk3gJKQmYpmtEk7Iwk2xRI2JcteD47X38YO8ACzocDrhxCNueEN6sZ2Uyaz1B55/s7f5ODpws2HmM4LVWMfRMsVJyxX7GsD3cWzVq3HmMey1W9kvu/bM9pNir8sMV+wi+sc3Hb9XYbazg4aOHs9MpPgnKxxeNBHLjN8sxTZPrr7+eK6+8kscff3yTy99sMw2NGzeO2267jQceeIAnn3yS22+/nXg8TigUYvz48RxxxBEcccQRTJo0Kb9NNBrlL3/5C7fffjuPP/448+bNQ9d1mpqa2G677T50Xvti5s6dy4QJE7j99tu55557GBwcpKamhokTJ/Ktb32rYuT3cJx44olIKbn//vu5/PLLqa+v58ADD2Tu3Lkce+yxJesGg0F+8YtfcO2113LFFVeQzWbZYYcdhhX0AD/72c/YYostePDBB7nyyisJhULssMMOfOtb3yqZWEqh+MzgM+DsQ92/Ys48GM48uDTWffVTGN+5rUS0FkseEdQR6Qy5bDCyuQpx9F74T9gZbddKK5X/4kOQNzyDYwrPYGKSJUJuAG1WRPHJBO5Mr+W540H/8o7Il1bCcx8gPXFtHLsdgT8fj6iu7LEInLMnmd88W7bUjUnrXhpOY+/JxP40N/9t1Ve3InlJe8UWNrnBu+TPQ+WkU4KqX+1P1bd2pO5cd0n6jXZkvHzCLYGFge4NmtXHVRNzfGTWZUr22ZQcoDcQQgoNw7TRbTfFZWNiEAHEdT8Z3YffsV2LSxk+WWqlEI6kriHA9tfthpW0mPe152h/sZN0QB/CYgVdYxoQUT/7/HIbEou7SXVlmHzQGMbs4o5tmnv59rz38Do6lg7SvHU1Wxw0GoAt9qjnpKtns/CpLgJhnW0/P4rqUQE6l8W588w3ScddK44wNHb+ygRmHjOOV85rJeszWN3g9uoKKZm5rp2qdIb+mgjb7N/A3MNraB7l49ofJ1ixqFTU+6dW0WzodHeYZH3uq3P3HUOcenoTS1aZ/OWOblKLBwvHKCXCG6yaEu51LRtbDMA7Efe+0qXk83uECdT40ITg4N1CTBjt9sAdvTTDRdf1Ek84hG0HR2iYuHmi6kzL9cgL+PV36th5ltvAOnqP0h6/8fUadbqDFk8x6DcQEmKmRZu3LbY3qNTn2ub2naTxjV18HL+dLz9Ac1RM44J9/fzi6aKGS6497k1KJXKZgjyr1lBR/5N38vGD3by0rELw9FcMbp7vcNd7DvPWFPW4SMnkqo23q06qFnx7e8E1bxX2ObMevjlb4xuzBVWBjStH8dlnJFpuhsPn83HWWWexaNEizjrrLB566KFNKmezzBSrUCgUQyGTGex9L0e+ujK3BJ00wqfDJcfA13ZH9MXhobdgYiN8cWdvOvnhsX//OM4P7ioIif22RM7dGWk5+I7cGqczgf3sB4jaIPalD0GLa4ETs5oJPPNdqA7h3D8fZ3k3+iFboW2z/nEqfYf8FevRpUUJMQUaNj5h4TtpRyI3f6m0fusG6Zh4pTtAMH/UoB0wHfu1FmS/K7oL9ptSqn+2FzUX7pH/7CRNlo+5Hqc/U7JeLT2urachQuzxU0i80UX7NyujP0trmjB1g9pEnGg6Q3xGA3VLO+jyhUkLL72scM0/TZlESY0GfH7Stis6hTdXz/Rf7cDk82bn13nsu6+y/Ik2d5Ipx3sNCxg7dxK1n2tm5h61VDcF+LhI9GRZ+lQHmi6YsX8ToSq3fnc90M8/7+/PO3SO/UKMab4Mji3Zau96orUFi+Wa95PceMkKUnG3wdI8JcS3fzkV3RC8+VaS1naT2bNCTJ5UqPd1z6e5//oWpqfc66A5DqtjEfrCQayJAV5pc+/HXJKVbcbovNVayI1/4R4+LjmqMr1zjkxW8sIbSfoGHMZPCfCPpxK8/1o835Vz9KExTjq6Zr3n5vZ5KS69O57/afRpgm5dL4w60TVmjdb521dCbNs8fMT57XU2j75v4dcFv3zepDPp3hWTawSHTYOrX7YKeeU9H/0uEwyOnCHYd4rBnAlDl52xJIf83eSZ1W4FIz74z/E+9pjw4aKxT692eKXVHWi6/8SRF8lVbJjF4vcAbCWHsZGOQK6//np+8IMfbHJ2RCXoFQrFp4qUEnnenfCHxxDZNCISgD+dDF/bc9PLXN6JfGU5YvsJiC2bh18vbeI8uhiCBtr+WyCGSnu3Aex1A/QdejvWO25qXGPOOKJn7Iix20T06UNn0Ur86TUGznnMzSASMoj8ZB+qzt+d9Itrad/9Fi+vj45elJU+x+iXTyKwa2kjY/DupbSf8ijOYBYRNGj4zZ5EZ1Uj+1L4Dp6BiPgxVw2wfNKfSwR5RtNZVuNaUSLpLGPO3YFVz66j7sUVtBs1pRF1ARE7Q8x2o7NJv8HyxmrqOrP4vSwlojHAfiuPQQ+XNrq63uun6/0+nn3tScSgztHfPoL6aTUf+lx/VNa1mXywMsu0yX6aR/nWu246ZfP+W3HCMZ0pW0c2GCVe0m6z7a/6mJzKMD2VJeUzyBo63/1SFdvMDjL3+gE+6HLP07Hb+/nrCVGWdDrMX2ez2ySdiXUf/t5r77J474MMU8b7GT9m/ceTo6XH5oL7Ety5wCKFoD4iuP6YMJYDE2s15kz6cB33yazk0WU2sYBgv8kag1k4/JYUz610G0MzGjSuOiLIwdM2/vjmrXJoT0gOmqJRHfzvicQqPj4WiSsBmCnP/lTr8XFyzDHH8Nxzz9He3r7hlYdACXqFQvHZoC8Bi1pg1jg3688Iw3yrFREyMLbcuNQSTk8K670ujNlNaDE30isdybotrsNa1lsYLOvNASBifmp+uidV5ww9Ys+JZ8nM78S/RR16/dADmlceei+ZR5Z7uX8goQVw0Bh/7b7UHD6RzPv9vPz5R7E0gZapnDE2GdERfjcSn/EZOALSAQNfxs1kM/XQsexx3dCj/UzT5Oabbwbg5JNPLpkA8L+FG19Mc+GDSfoTDrNqBdecEGPONDfy7ziSN9fa1IYFUxs+fb9124DD8m6HHcbpBDeU6nETWNBm40jYZj2RfoViU1noCfpZI0jQX3rppUMu7+vrY968ebz55pucf/75XHbZZZtUvhL0CoVC8RnCXNxF9xmPkHlhLf5tmqi96iCMqbVoNQG00EcTwY5ls7DpRpzenD1H4J9Rw5aLT0Bogg++9Tyt1y0mEfDhOKVCTJc2yZhOKlSUrQZI+XWkJhCOZM6XJjDzV0OPCfpfEPTg2ka6E5Ix1crqoVB8UrwrrgJgtvzOp1yTjWe4eYJqa2uZOnUq3/zmNzn11FM3eSbezTYoVqFQKBQbxrdVA6OfPfETKVszdGa8cTyt579I6rUOwruMovlXuyFys776BEGyhDMZOo0YjnDzjtfYKQLSgl7IDuisbajG9PKX65aNYUFtb5raLWs+kXqPJAKGYEy1sokoFJ8kIzES/UlPNKoEvUKhUPwPEZhczaR/fn7I7/R4Gt17VdZbceJaAF06rpj38Ns2jf1x1tVX48s4jO52JxYLTonReMykT7z+CoVCoWaKrUQJeoVCoVAAEH+2Jf9vHUm1k/bSLJZGnEMZk1DcYsbXpiAGTYKTY4z91pYY0f9OG41CofhsMRIi9KtXr96k7SZMmLBJ2ylBr1AoFAqk5WCuq5xQSQwxGZJvUjX73XcIVdt8+Jm6FQqF4qMyEvLQT5o0aZP88LZdOefHxqAEvUKhUChwUhYyPfSLxDc+grnGFfv+STGmPfYFgp9C2kmFQqGAkTFT7F/+8pdNHuC6KShBr1AoFAr0mJ/YPmMZfKZguxFA7VdnMPG2g0i9243TnyWy22iE/tl/mSoUiv9eRoLl5utf//pm3Z96KisUCoUCgAm3HkDsgPEIwNccZtx1+zDp9oMRQhDepoHonmOUmFcoFJ86EjEibDebExWhVygUCgUA/vExpj1+BE7WRvi0zdpdrFAoFBuLPYLF/AsvvMCbb75Jf39/RSpLIQQXXXTRJpWrBL1CoVAoStD8anZPhULx2WUkRud7enr4whe+wKuvvoqUEiEEubldc//+KIJe9Z0qFAqFQqFQKEYMDgJnhIn6c889l/nz53PHHXewfPlypJQ8+uijLF26lDPOOIPtttuOdevWbXL5StArFAqFQqFQKEYMI9FD//DDD3P66adz3HHHEYvFANA0jWnTpvHHP/6RSZMmcfbZZ29y+UrQKxQKhUKhUChGDJKRkemmmL6+PmbNmgVANBoFIB6P578/6KCDePTRRze5fCXoFQqFQqFQKBQjBgcNZ4RJ2DFjxtDW1gZAIBCgqamJd955J/99S0vLR0pEoAbFKhQKhUKhUChGDCMtOg+w11578fjjj3PBBRcAcNxxx/Gb3/wGXddxHIcrr7ySgw8+eJPLV4JeoVAoFAqFQjFiGGn+eYDvf//7PP7442QyGQKBABdffDELFy7MZ7XZa6+9uPrqqze5fCXoFQqFQqFQKBQjhpGW4QZg9uzZzJ49O/+5traWJ554gr6+PnRdzw+U3VSUoFcoFArFJ0J8ST/t96zGV+en8ehxn3Z1FArFfwkjMUK/aNEiZs6cWbG8pqbmYylfCXqFQqH4DBMfsFjwVoJolc7MbSNo2sh4kXU+vJbnT3yBjKERGcwS++0CtDPBiW7+uvQt6qP37W5qt6unZmbN5q+AQqH4WLFHyHOwmK233pqtt96a448/ni996UtMmzbtYy1fCXqFQqH4jPL+oiR//NVaMhmJBEaP8XP6OWNoHhf41OokbYfeFzvRwwbVO9YPvY6UPHzJQnqn1+cW0Lyij+jzOgOH2JuxtrDg1/NZ/PtFOAKkEGx15hZse+F2m7UOCoXi40WOPD3Ptddey5133slPfvITLrroIrbbbru8uJ84ceJHLn9k5fxRKBSK/yHu+VtnXsxLIWhrNbn03FXce0fnp1Kf1Ko4z81+gFf3+Q8v7fIgr+z3KFbcrFhvyZMd9Aq9sEAIOsZXId4JIjeDnpeOpG/5IP3v97P4D4vJ+jTSAZ1MQOftG99n+b2rPvo+TBvrvU5kqvL4FQrFJ4vUBHKERelPP/10nnzySVpaWvjDH/5AJBLh/PPPZ8qUKXzuc5/jD3/4g5opVqFQKEYapiWxrPUnX2tryWIJgSNE3jEqJTz6QC+rV6Q/lnpIKcmmnY1a970fvIa5uJeA4+B3HAaeaeWD3y/Kf2+bDg/87D0evGRRxba2Tychw8j3Qxu1L8eWWJkPr/67FvRy5/6PcffBT3DPkc+QMjQsQ4NcfmcheOX7r5BZ3P2hy86ReXQZHeOvoHOrP9I+9nJSd8zf5LIUCsWHx/EJHN/IEvQ5Ro0axVlnncW8efNYvXo1l19+OUIIzjnnnI8UqVeCXqFQKDYjWVNy+S19HPGdVr54dhvX3dWP4wwt7LfYOkzSZwz5oF61/KML+vnP9fKbUxZy8bHvcN0Pl9K9LrPe9fsfX5eviwAMKXnmH63ccNYC2pYnefO+VhY/2YktKmusZ20yUR90+DZYrwW3LOP2zz3Ezds8wH9Oe5F0z/rrVczT57zO4NokAHbWIRswKnJWZ9FY+83HN7rMYpx4hp4j/47TngBA9qbpO/l+7M7EJpWnUCg+PI4mcEZYhH4ompubmTVrFltttRXhcBjH2bjgylAoD71CoVB8wvzz+RR/eTJFPOkQS5vYKVdimkj+9XiCsU0Gh+8dqdjuiK808PS7rThURl9WrTHZQ0qEELS92MGbv36XwdUJmvccxS4/3Y5g/fp99j1tGe783Upy74/VixNc84132HdOgM/9YBapVXEW/OgN+t/uoXanerb+1U70RwIs32IsyYifmp4E0xa3UdOb5L1lSe782fuMbXZfKbZhkEHgz2YRuJPAjFrbT21PkvQAJBb1YQX8vPDbRXQvHWD0trXsft4sqsdHWPdKJ++f+wpT+xJojqSnc5DnAzoHXL0rLa928cqVixlYnWDc5xrZ/fytCXnH6VgOr/78HfqXxyuO1RECXRZkvd80WbkwwdtzHkTTBeNrHJreWIlWF6Tmgt2IfnXWsOctftFTkC7rOcjavLv9XYz65Z40nzgVAKs/y4rvv0z3A6sJjIsw8Wc7UnfYhPVeE4VCsXHIERyOllLyzDPP8M9//pN7772Xrq4uamtrOf744znuuOM2uVwhpRyJE24pFIr/cVb1Ofz0aYu32xx2G69xyb4+GiOfnYjNQGuKV67/gBdW2PwzNia/vMk08Zc9dev9DnPGwkGH1TJzdkHYSyn5xrfXkBm0iZgmGq44tgHL0BlVIxgftfE/sBg9ayGkRLclY/Zs4sDb9lpv/V5+uJMHrl1bsXzsqhZmHjYG896VpNel8suNKh9vbDEexyh446t7Esx4Zy3dTVWsm1RLfTXE2zOYfh/ZoB8AYTts+8oKQmmrUFZ9gOUz60n0W1h+H46mUaXZ7BZNk3yrC7qzJXVa1xgjPruJwbVeVFzTaIgnmGIlqJ8ao/q0bVjRC29fuQhLL7LXeESSabI+A4RAt20a4wk6ynI+T+7uwrYNssKg+avTmHjYaOLXvIEcyBA5YRZVZ+2IEIKevW8iM281FKXNk8AKRpMmyA7PHkLtXqN570tP0HXXyvw6Qhdsv/BowlvUrPe6KBSKDXNf3R0AHNnzlU+5JhvPc889x5133sndd99NR0cHVVVVHHnkkRx33HEccMABGMZHi7GrCL1CofjM0x6XXP6CxeJOh/2n6MQCDt95xCbpjUd8p83mjXUOr5wW3KTyB9KS3z+T5vU1FrtMMPjePkF61qR57j89ZDOSXfapZtaOGz/pR0evxQ/PX0WbFSThK33M2giae/oY192LpessH9VAsCfDuuUprlqY5Ec/m8DEye5xCCHYb/cIDz46QH/AjyElVQNxprR1sGTKBLq6JeOeXYZm2piGTl9dNWbAR/fiJLt1ZYg0DB+lr23yVyzTbBvNcVh932pqi8Q8gDVgEkxlScYKHvj+uggOguruOH2NAVJJgQ7o6QwCSSYUJBrPlIj5TMBgTVWEwUGwQsH8wLZ+NF5pyTCrJ4NWlmM6mMrSuiaRXypsh6pEinDvIKm2QVIvrKNzyig0x4+Og10k6n1ZG8OEqlSSmkyKulSSxU1NFce+NlZLJO5G3lf8YzVtty2jPhMnQprMq62Qsan+wa44DTEEssTGI4CxdPEBY+n99ctoVyXp+leCEtFvSzpvWszE33zOvQ/e7yLxfw9gz29Dn1ZP+Oq5GNs2D3u9Pm6chEnXH94i9VIbwe0bafj+Dug1n172JIXiwzDSBsQC7L333kSjUQ4//HCOO+44DjnkEPz+yufwpqIEvUKh+EzQFpfc+JZNZxKO3Upjjwlun2rGkux6fZpVA+56Dy717A5lUdhXWyQL2h22HrXxfbH9XVlef6ybs941eC/lRp4fXGjy8PwMn3ujFdsbtPr2SwOc+N2x7LRn9QbLTAxanP+9ZWj9GUTUoCsSBikZm0jSlEpTM5hk1rr2/Prjunt5v7kB05FUdfXz0ryBvKAH2HOyQ9fCJfTGogSzJtUJ1x8eTmcwLJtQOoMEWiaOwQy4/vRELMK9N7Qwddc61ixPMXF6iJ32rEbXBY4teeOFAVYsSWJYbkNASEld1wDNa7vRbRNZPfRLxi6KzoMbmV43oZ5wKllxPXwZk0woiOUrbGPpGku2acbyGyAlWlkHcU9NlHWN1YzrGChZ3hsNVUwj01YdY0Jvv5sBCGhc2U2ivpbBUBDNsfGZNpoEXQKaIOkPkPT5CWZMtCHGLIiyRSnDRyITJEmAajGI76b5GMfM4u15abZCQyfndXVrFsRkPG3EHv6ANBKdCdiUnq/4XYvp8mUJtXaQuf1tMN0yrNZB+ne4Gv+9pxCbO3RuavvJJdj3v4torsI4dTdEQxQnZdF78yLSC7uJ7DWW6mOnI9YjdJx73kQ+uRi2GM3a+3sYfMrNqJF+8D2MG5+k5qtboJ20G2LrscOWoVB8FrD1kSfo77rrLr7whS8QDG5a4GlDKEGvUCg+ddrikh1uzNLq2Z+ves3m0u1s9PY0L6V9rBowKFF0wxgF/XrlskUdDg8usRlfJThqlk7AcAuatyDNZde0k07avFdXU7LNyy0OU4ROA4XI8o1/7WSLnatI9Ji8/WaC6hqDnXaJMNCaZtlLPUTr/czYo56bv/kmM1tc0T2zq5fF9bUkgkFmDAwCUNfZU3IImpT4bYfFE8YQyJrMdsCyJG+8Fqe7y2KsYeO3bEb19KFZrgB0DA0pBNIT0YloOC/mcyx4eYCX3kxj6zra4/289UI/W8yK8M7rgyxf4g2ojUaIDSSZuWAFkVTB5iI70ghbIotemsKW6FbpgC0JtE2sY9riygGhgYzJ6CUtRAYzaDg4CHobI66YHw4paR1dy+juOIbt5PeRDFZuI6T07EcCEPgcm+mdXfSGQqyqr6UpMUhvMFra0BCCnlCExoEE8WAgf/6E4+DLOJg+ARIMq3geSkG7UUum3WH1Cc+SzGgsDY9hy2RLRSMjSpoUQfxkqaOPTgp5+n2YhFZ2Y1y2hKxXbvFNLRxJ61H34Mw7ierdRpWUm/3Nk1jn3Z//bN3wItojZ7HiCw9iLncbPz1/epfEsy3UfmkaqZdaCe7QRGjXJrjzdWQig/nkMvSH3syXUUeQLGOpppcaetBaJfJ3K7F//zji98eh/9/+w18nheJTZiTmoT/66KM/0fKVoFcoFHla45Kn10im1Qh2ad74J6aUkqdXS7pScPBkQXXA3TZlSv6zQhLQYUwUFnbBbmMFk2tKy77pbdsV80VC/bevSuau7Oe9hiqoKnpUCW+YpZQFsSYl24wStMclMxoKq97+tsXX7s4gbQkCdh5v8OhJfs57JMOfXzWhuhZiEszK9Iipokin5jiI3hS7XdjB1O4kA0Kn1rTY/k8f4G8dJBdoDlcbZLpLM7Js0d3LYDSSr6uQ3suoSGg2DLgtmYzfR5/Q+dUla1mxPOOt77BzTQC9ZSAv/xxTIBxJIhJiIBpGiMprFff7SQcKkfa35qdZ9Gbc3W/R+slwgGCmNJe6AHAkmiORmrsv4cCWb6+mc3Q1beNqsAwDDJ3wYJq6riS9jREcXUM3bXTboam9n8buZK40JLIiK4WktJ1W1xenrzrCW1tPYFRHP4FUhu5YyN2u+HoDY/oGvNvFvR9y8rg+lSLSZtIdDeK3LbJGaUMno+uMiyeJtGXoikQRUiKyNp1V1eDqeUwJ1X3pfN18psNArw4vdBDWBdKvIRGIspalRCNJmBQB6uglSJY4YQwsYsTxsf40nJpts/a371J97yiSr7aRXdZPYFIE+/x/lwyKlit7aNvmWvymjoEgRRgQ9Fz3LoPXvoUAdEzGhdehJ13rlJY/4y5BUkxkGSI/bNnDdnC+83esF1eRPeJzhA+ahF63calGK+johycXwMQGMC1o60Xutw3mG62QNPEdMgMR3gTLQV8CHnsbGqtgn60reoc+Npa1witLYfspMHP8J7MPxSYhP6lrPoJRgl6h+B+iNS5Z1gc7NEHEX/pAvGuJw1cfcnIuAL68peCcnQSGJti2qbDuW+2ueNpulKAtIVnQKfnpCw4vevNhVPnhV3sJ5jQLDvuXzbpc0hEpQYKmCa7cX+P/diqE07tTVETdE4ZnudGHstAUiXoJOjC/VbLXjRkOnq7x7xMC+HTBdx9II7MFEfXaSofJv8rSX57xsUzTIKDKi0Yb2Sy1yRQCmLTG4JHRjXkB0dducpAczG+W6s1WZKPRcKPwuRdQJuAjlLLzuwWIZrKEMxmSfj/PPD1Ac/8ght+PZej4LZvBhKS2uEwpGdPWyfLJ41gyfQKj27rQLTtviXGEIOUvFbKWoYOUBMpsLqPbetCHsKB0jqlh9No+KPpOtyVWQMNv2/htG5mBUDKDP2szeUkXPY2hvMhNhnzEI36iCTN/rA09g7RMqss3KiQQSaQJZrLU9qcY29bDulG1LJ/YyKrx9YR749TG02y1pouk36CjJoqtCxoHEzTEUzje2S6NdUPQsjB1A7RywQ2GcDBwMEyHSF8vcZ+fD2oaXWuOBAdwNJCGgIy7jVN0VXVbUpN2/fHSa0hIICGC2NI9/wHcAcxRUkRxBbWJjl4i6EubMxJIEMZZPciqox5i4N4PyB1ckwwTozR7T73Zhead6wx+1jEWR+rU0kWcGLV058U8Xm1z5wrAQUC+BPfgRf6TwPnHq3T9ow0ZCTH6gaMI7zdEfuy13bCyC3acDKEyYf7A63DMlWCagAVITIIkxBgc6d6bYlSUqkdPRl++GiwHDtsRQhvw8b/4HhzyMxj0jm3PmfDoRRveDpDdCZyFbWizmxG14fWv+8t/wQV3IHK/lx8fDb/46gb3odg8jETLzSeNEvT/5axbt465c+dy6qmncvrpp3/a1fnM4UjJ6gFojpC3Yox0srakZRAmVIFeFBG99EWHn73sYDmu6L75EI2jZrhCxXIk33mqIOYB/v6e5O/vuS+z3cfCjQcJjv+35B1vktLxMViXALssbe5AFs583EEH7BKRLNzonyP54dPwhamCiE8wKir4wjTB718uLccRGl1+gwnxNGuiwZJovKuFRP7fxTLp0fcd7lpgs9MYQY83yBFdh9zgS9OVaCX18hlg2fkocDSk8259FF/K5MCWQQSQ0jWeHNVQEg18vqmebXr7GJ12TRRSCCwBGcMgbJoIoDMcIh4KUp/OUDUQx2+aSE9c4xQiy5G0iaYZCKHRVV3FhHUdBC2LnsZafGbB+pMjkMniAELXaR07ih3eXkpvQxWZYAA9Y9IdrUyDiRBIKUvFb6oyx7sEWiY3Eu1LEUlk8v7ydRNqGKgrlCuAbMjAFtLtxShuFQlBb02IcNLM62p/1ka3LBxdRwpBMJ1l+/krMYrqNK6tl9bGKrKGhrAdJnT0k8UgZQaIdVkgJUFp46DhIDA8002h5t5xmRZrm6qZ3t7JgC9M2ueKSL9dGiVfF60puaYa7qUJ6Fl0zSTtBCg9YyClyIv8tPCxwteMKdzXadROM9GqtCAZ2AwSoZpEvhFgIdAAG51OaskSwFjew8CbRdtL6KKRKPGivo7SNKYBslTRT5IIMeJU0YtG6Q/T8oYaG9hl0t79t/RK1oA4NSSpwsDGTiTo+fZ/CC8ue3/86J/I3zwEjoOoi2Lf8E3YZyZ6fRjSWTj+KjcqD0h04tRjUlPScJbtcewdf4xue2Mmgj548AKYOhpG10CwtJEgU1nkV69GDKYKtX9uEVz/GJx9eMU5z7OqA/Pf75E590FImxDyEbjyCHwHT4eJZQOkpURe/Sj8+G+lV/2X98A39ocpo4ffj2KzMRItN580StB/jLz++uucccYZfPe73+XEE0/8tKuj2ADPr5Wc8LDNqgGoD8Hv9xGcOGsIE/ZHxHZkibAeatlQ62xsmcX/vmepw7eecOhIwtioK8IPmaK7UfQXCy/4gSwc84DDpXtILpyj05OCtvXMi/NCC2z9V1ki0NcMDr8+lIn5HEKA5ZDOOsz4k4Mt4ZCpgkv2GvpR9H5tlLHxdJHgEq4O0SThrE1yyOg9/PDRLC0DuEK9zKqBJty3gRd51qTE0TR3XY/t2rv45l5hzntJI+glau/x+7C1sv0JwQ3TJ7NfWye7d/bQUl3FglENZA2DUNZkXG8f7zbUIzXBgctX4zfNkm2lcL3gWV0nHQwUZoMVglVjR7HTu0uIV0Xorq0imnAjkrnTOhAJoRcJ4Xg0xMSVbYDbXGltqiNTZLnBW9fycrIbOtRFBbpdarcBiMdCOLpG68Q6Jr3fhm5Jsn6D/vrKqKbt15E+Dctfef86msDWtbz3v6sxihAC3Tun49b1oMlcBFyiedI5Npiiuy6G5jfIGjpJx18y0+ugCCI0CRqsHt3Ili3t+G073ziSQMowAIFfOISDhps6XggGAkHkYEHOpo3Kia4EUJtJEHMyrBRBN3pfOJHYGLRTR9Iw6PeF0Yq0c1wP0uNUEXVKswRJoI8IIIiSxEKnhdHYZa9hqy9b8WJ20EkRIkgKDRjqSREmSTV9aJjeOdCQOEignbHEcbM0RRlgNGuHKMWN2CeIkKQKPDPOKNYSeG8Jzjd1uPZkNJ+OfPht+NWD+e1kTwLnmGto16YR/upsarcWiFTW68Fwr2mUHgbxY1Gw7xgk8NtFA6DTJhx8qRslqI3Cb0+EbxzonpcbX8T8wT3QLxA04acXDe/e/f7NsLoLrji5UJZtw3styGN/h7N4HRnGFY45ZZI5/S4M1iJmjYW7zoWtxsE7K5Bfuhy5tKdyMjcpYfHa4QW97UD580h6vYjlzw3FR0ZZbipRgl7xP4nlSI57sGAH6U7B1x6R/OQFi6v21zh86kd/AK/sl3zzUYcnV0smV8Pl+2hs3yRKll2wq+Bf78N/VkjGxeBXe2l8Zavh972gU3LqYzYvt8KosDu/TcKEY2cILttTcMLDDikLSJm0dJp8/lrJgdN1egIByl/gErjoecl+4yW7jRVsVQeLe4Y/nrxAL7enlBS6gWktct8XRdX/84FkVb+JJkrcHQCYmuDd2lxEWJT817BtMPQhK9OS0wjDPfRF4SC26htgYX1NydehtMVL97TSOXkCA4ZOlWXTlM4SsmxSZZleAkJjwegmljY10GA7+X2m/D6WjGokqbkpFJND1UVAwu9n0djmIV/6g9Ew4WSaVWOa0E0L6TPoqa9BCjB1Hek1VgTwwcRm/FmT+p4BEIJpK1pYMm08lmG4+ekd12SBENhCsFt1it757bSNaSAbDDF+VQeGZTNYHWbNlCY3gmzoOH4dgQ2aZMIHXayaUTpg0582CWRtdMehv7zxJN3Bno6AroYYLeMLxqFIIsPYtn6Kr6sDCCFJhPxssbyN+r4EtqbhYJGmWHgLFk0eQzLmR7ds3jF0dlm+puQOGTswSFckQt1XtqT6ureZhEXC8LO6uo5VVXWMjffhcxyCVpaUr9SuUZ8epC7jDmyWBjhmwYMewsTAIUKaOssiroUqxEVG+LDQMLChSF6Po5NOaumgAdsTzOVX3aCyN0bgkCZMiNSwP78QaTSsknMg0eihjjhV+fXiVNNHkhp6KX0muKX6Ke2xyRDEJEDqplXIW39O+IydiT3xLLlxCxY6/YwmQxjNsUneNp/ItjZpRmMSRsMiTDdBBonRSuEB4kBZLwIAttsIEb1x+Oa1cMldOAdsi3bzMwSxcQiQpYYstQTocI9AAr//N9zxHJy0L9z1InJFB6ZRi2P5gAYENrJE8ggcfOgL18ABF0PLjXDCH2BpKxCpGN8hdQ2x64zK+l77BFxyL3QNwhd3ghu+AdUh+PHf4I+PuEL/mwfA5V8vCRooPhr2CExb+Umj7i7F/wx/W+Twm9ccBjJw0CRR8HYXsXLAjVyvOFUwJlp4YLzYIvnhszZvdbifZzXAZXtqHDBRoz0hOecZh6dWSyZVgU/A+72StCPo9d6NK/rhSw84hAwYNAvLvvlY4dW8ZhBOeMjhj285rOiHfcYLLt9Ho9mrx29ftbngeZm3xbQnC/X++3uSpb3SFfOm7YbgPR5/34aYBeHKSCTAk6tdQX/roTqH3G3TXe4vH4p8KDn3XzmMyPdei569BG9wajmLuyDqh3ixlpCSNf5cZLZsIyFI6Z5tpUThSG/Q6QYe9lIipGRW3wD7tnZUCHrpSO4ZMxoHuHXKBE5avpqYZXPYunbuGzca0xPfPimp8xopBqKiAaHh+vttoCsSZnpPX8n3mYCfeFWM6S1tLJk8nmyZ793ImKxobiJrGKycOIaIVTQ5k+fLzzWMdGDthNE4QbfBMVAVI+BI/FkTCcT6E0xe1UYonaG3JobfyNDaOJp0KEgqHGLd2Ho02yFkmW6vgWEQG0jlG2GGLTFsi8Z1fXSNqkLqGjiSqUvbEYDPklT1ZxioDuTtUB1j6miZPAqQBFLZktkdqweKbmDv2mk42Jpg26VrMWz33jEchxgZbDRM4R6bFJAJGd5WUJNMV9xWQcsimsnC9W8S8IRjxMoytbeThfXN9Adcv78ttIIHX0pGpfqZEHdbtiYaJjoBL9KtIUnhQ2BT7Vl9gjJLSpQ2CGIywQBh6hggJ3xzNNGLjk2KEAnC+e/dP4dRdJIlwCBRQKBhk0UnTpD6kh9ZTnIWXPBD/QhTRPCTRcNGomHiI0EVYRIYWJ6LvmDCcZdZ+DDxk0V4/SZBktimQfLql4mJdfljcsV8wYal4ZBckML2ljn4iDMKnQw+skV1zE2TVlpnz6xXOGdruhA3P5n/rJPBTx9Z6pF4jc0c7X3wm3ux8ZGlEWHlbjiBjo2NQKIDjhfh9x4463rg8vtgwer8uZWEgDS5OQekFgJdR1zxgGvxEQIO2h6ufgr3F27C3c/C64vhy7vDr+8t1Ovqh2FMHZx/lNvwuO5Rd/szD4HvfKH0gr2/Dn5wC7y2DHaZDr87CaYVzU/Qn4Bzb4WH34BJTfDzr7j//cFf4cUlsP1k+O1J//WDeEeq5WZgYIA//elPPP3003R0dHD99dezyy670NPTw1//+lfmzp3LtGlDp67dEErQfwq8+eab3HjjjSxcuBDLspg0aRLHHnssRx55ZMl6CxYs4O6772b+/Pm0t7ej6zrTpk3jxBNPZN99960o9+233+aqq65iyZIlRCIR9t9//088TdJI4anVDic8XIgG3TB/+Ehy1nYj5qfMdp8YHQnJwXfbxIucCa+1wRfucVh0suCkR2xeaMFNuVecPrvMvWPJgpgfDgn5waV/f0+yvN/mr4fofO0Rm9fa1r/tG7nU5pmyTBqGBqHhf+p/X+wwOgK1ATZOzJcjGDLQ5n4n3AiV6QkGKanNmPQMMYAtnqGgT6SkYOgf4lpJiZnr3i7yWTSlsnT7fdjlgr4ocjwmkWTuirXETJuYZbE0Gsl/L6Rk664+nhjdmN+0LRjgwQljqbFtWkNBahH0WzYZQyda1CNhD/GCKXbrL22sY1JfP82DrrcpYxi8O34MUtPYurOHLVesYeG0idheQ6V6YJDVY5tIebYZv1N5kjUpsTWNcW3t9FdVYxoG0ovYJ0LB/OkJZLJss3B5fvDr6I5erKBBekJRPmQhcAydlOdqqu0ZpL6rP/9djtruBFW9SdrHVtO8rp/YYKEVFkzbSGmCkBi2Q31fK/01YdaOr2Pa8nY+mNLo2puEIBUsbbxoOGhItCKvVrHX2y8tTKEjgYGGILbhlmNYDrZTefJtIQhaFoYsPW9+x6YxPkBXrNq9T7zBuVJKdOkwJt6b37dEMNrqp4+oO1DUi6cnCAGCUfQz2upnta8e22ts+GyLPieKhqCOAcprliTAAFU4CPyYZPEDEgObcazDQOL3cuU4aOjY9FCNjV4SNS4YlNyGUIYwQeJF+fFz51Wi5UWvg0YGE4N2JuAnwShai86yO1jWR5ZgUaQ+NzZCw0TDwpE6cWo9yT+EDcsuty4KMsTw0V2y1BXkVtFnQYY6QnSWbV2KTgZX9A+dNcgkSmXfh9tgkmiEaEendDZiHnjddfRJgAySIJIIEgcwwczAj+6A6x8pbLOkBfC53+dY2Q6/ua+yUve8DA0x1x6U47s3QU0Yvua9zy0bDv4ZrPAe5ve/Cu+ugqXXuOOAAE6+Bu59xf13Sw98/ucwvh7ed68jrb3wzkpYfi34hw7i/DcwEiP0a9euZe+992bNmjVMnz6d9957j3jcjSzW1dVx/fXXs2rVKv7whz9sUvlK0G9m5s2bx7nnnkt9fT0nnHAC4XCYxx57jJ///Oe0tLTw7W9/O7/uM888w8qVKznggANobm6mv7+fBx98kHPPPZef//znHHLIIfl1FyxYwJlnnkk4HOZrX/sasViMxx57jJ/+9KefxmF+5rhj8QasIGWMK5oU9P4PZImYz5G14cb5jivmh6LcfrAJvNIKu91h5yP9G0X56P+gvt56LO6B0x5z2KZx2FWGR7Bhm43QiGCx07oeGtKuv/fRCY0M5vKR51SKLjwF7JQa8HPLcpaUnC8Vyo5LktUEDeks7eHSiTtqUhn6Aj4MKfni8rWMSrsnNKnrPDxhNEhJTSbLYatbWVBdOSNsq9/H3u39tAYC9OqCbfsHeLOupkROWJ6tJlx0PmoSSWQoiKNpCE3jiS2mMnowzuhkhtbaqnz9X541g/3fWMDuby2kPxohnM5g6hpvzix08dtCMNzruao3QcofIhkL01sdQ7dd6ak7DrYQ1HcPVGSyEWkL3TSxfaWl1vT2U9sTZ3S72zrVTS+KWnSudUdiawY1vQWfuOnTaB0To7YrRVUig+6dh2g8Q3VfkpCZRUjQbAcE9EeD9FSHqOt3yyhPAelSkLCZoE7G0LB1yaSeDmZ0tJH1GXRHwvREI3SFwzQkk/mtWqqqyQw5lbqkIROnKxoDrUh4CoGtGwwEQtRlEmhAEIugHKQ7EEXPFLYXQAo/PUSokimmZ9sY0AP4HYuITNNKAxYaCYJEKbSSLTQ6qKeGAQSSQaIEGcD1q0sy+DA8oZkT4m6jUMdBp5daaun1otjFViWBg0GGMKH84FlIE6Bc2Lp+9n7SVGESIkWUsJdBR3rXIUiaShltYuEnS4A0473hs0P/9qVnJypliEYXvhKLUZzRSAL46UNn+OiHRMM3RGMph4PPa8RUToTmo79SzIObsSf3WMEC4t72Tj5Kz9PvDLG3SotURaYAcP31dzxXufxvzxUE/UtLCmI+x/J2eHkp7L4VJDNw/2ul36ezBTGfo6UHnlkIB203RH3/OxiJHvpzzz2XwcFB3n77bZqammgqm7H6yCOP5MEHHxxm6w2jBP1mxLZtfvOb3xAKhbjllltobHQV1Je+9CVOP/10brnlFg4//HAmTJgAwDe+8Q3OOuuskjKOP/54vvKVr3DTTTeVCPorrrgCx3G46aabmDhxIgDHHnss3/jGNzbT0W08PT09RCIRAgE3ShuPx5FSEou5QiqbzTI4OEh9fWFSltbWVpqbm4f93NbWxqhRo/L5uMv3ERImG3u77ztecMBEkd/H+mZDr/HZGJqGNVSEutyEuQloSHozH7KQoAFJi3ylhouel7F6YMPrfFiE4w6Lm9yfwDR0FtUHaUxlOWxlO6tiIV5srnMHqRY3QjTNHdBWjC3BsQuDzoQYYkyfwC8lO3X38rKopTsUdIW/ZdPn94F0s4r8aeZUthiIE7AdFlXH8rKhz+/j9qnjaUxWtp4CUmJIqE+lWe6PsVt3L5/r7mNJVYTltTV54TioCaKmjc+RTOvqZsv2LvoCfh6dMQXLi7C1xaI4wWBJ9U2fwbr6GiZ2dFPfP4gEgppgQnsHq0Y3uRFtwyBgF6wIErA0jer+OI3dAwSyJu9tOZlUqDCrqs+2EZrmpqwsP11SUtWfpLehOr8smExT19WHAJI+A58FnWOiSAGNHX0Y3j3VVxuhfWw9k5Z3Eklk6GqM0DkqitQEDR3xvJjPid9YPIWOQ0PXAF0NVd5vQ9BaX01XdQTDcRjb1UckPYTQAkxNIx7wIzWNMYN9BC2H7miYRNCf741ZWV9PZzRKyDQZ9PsxDR9IyaqqWgzHoSaTImJmkQjebR6LqWkEzPL8NdAXCNOQKYwQt4RG2vARybjCTfOkLEA8n3N+AMO28WGzliZsNCaxjjBmfsBvmgBp/IyjPb99iAxraSZ3MyeIUk8PVRTtHx0DkyhxJBpxwoQrBKlAYGPjJ0ENOqYXt3cY6kEUwMzH33toIk4VBlnC9GPhx4fjWVNyVxGS1GAXNSmF16OCF/Uu3kf5HnXSXlYiLZ99RyKw8GNQGOwt8Xln2ID1CnqZ364cJxjETofQGISSetn46R+2oSBnNCOWF8S08LYp+bxuPYOMNkD/ETtQ9cryyldCjdvDEY/HET6KzEvF67hLWzs7aA77Ib4RXak1kc3yrv20GImC/rHHHuN73/seM2fOpLu7u+L7KVOmsGbNmk0uXw293owsXryYtrY25s6dmxfzAD6fj6997Ws4jsOzzz6bXx4KFbIBpNNp+vr6SKfT7LzzzqxYsSLfVdPT08P8+fPZe++982I+V+5XvvKVzXBkH466urr8AwYgGo3mHzAAfr+/5AEDlDxQhvo8evTokgdM+T6+u3OA6g2nKebU2YL/HKOhCZHfx9ypgpn1letOrIIzdvBxqmfNqYiCS9htNPz0c4JbPi/YeT3ZzoZLqbvHuKG/0AUcNHHIr9x61AXd3JQRHwR1whvRlmkMQ2BTkvwMIa51x2Fq9yC7r+ymMZFmZSzMi2PqWFwfY964el4bVcO4eNoV8+VPISHAN8SjSfeE/3qe46NTGWb1xTll2Rq+sLqV8YOVqXukhPdqq3mnoRZziEZBVyhQyD2NK3x38CZ+kl43r0RQbVns0tPPF1esYdf2Trbt7GbL3n5qEin2+mAlW7Z3AVCTybL3ijUVPRlB02T0wCC1Sden3l0dQwqBowkSsQiDVVFGdfe5VhvPWtMTCGA7kqa2bpraethy6Wq2W/CBOzjR0Bm7rqPSnuA4dNZXkS0T9ULClOWtBDIZAqk0sf5BmtoK23c1V7F4hwm0TqqnbWI9C3aczNoJDXwwYwzLthwLQE99mGUzGuitC1Hbk6KqL42/aJIuzTOGaHgNu1XdbLWklbHrepm8vJPargSD0QBd9THWjqotifdamqClsYY1jdW0VcWQmoZu24Qsi2VNdfRGQkig32u4SWAgGGAw4KcqlSaQzaLbkp5QlI5IFUvrRtEVdIWRANA0gnapMA6bGWLZVFncWWIGNK+Lv7IBYKPTTi0JwqQJEMAEBJ3U5c40oBEkS5RUiWc97mW9KaafGAIzv44Pm1oGqGKQGvoJDRVdBk+oyrxglUCIVD76nsMgS4weovQRpQ+DLFmCZAnSziTSRPBTKhgt9BIxj3cmpOew17HRvD+9aGAugJ9+alhJgDgDjCVJHUlqGWA0/qK62YTIBV0yVJdeA78B0WA+NqGVXaFixKLfo42vxsGHny4MBjEYIEAXPoaY8CK33aQmmDFm2HIBV0hXNI6HKG/meO9YNPdvm6lU//AYxDlHlA6MDfjge266zWg0SmTOTDh0h9KyDtsJZrlBvuaJ4+GcuaXfTx0NR+1aumzfrWGX6ZvlXftp4egCZ4Tlok+lUiXar5zBwQ2kjtsAKkK/GVm3zjVHT5kypeK7qVOnAtDSUvBv9PT0cO211/Lss8/S01MZGYjH40Sj0fw2kyZNqlhnqH39LzKtVvDGiTo3vOOwsFvyyIrSjCoHTITzdnEHuZYTMATPf1nnunckT6xykBL2Gic4czuN6oDgmgM0PjfGnWF1eo3Ar7nZaHYZIzhltpbPb3/UdMkN8yXvdkq2aYTulKQ9KThquuDJ1ZLLXy9UyK/Db/cSnDhTMOuvDq1FunRWPfzjMJ2tGwUPfuBw3zLJ2Cg8s0Yyb623khAQcl/AuoCFJ2vc9K47a+vrZT26OY6eLjhxpsZ+d9olA243Cs/DLryZRW1NY3l9lJDlMBD0kRGl5/WDmgg+23EvwlAPZYEr6nPWGw0v3WTRRct5KHMTVknJtl19+c1n9sdZGwqwJlRqv8kzzEBeKQRbD8YxHLB1jS0TKZqzJhkheC/iRtNeravhwA5XsAcch+n9gzw8fgw9oSBB02LvdGmUf3Q8QWMiSWc0ghSC6kSSrbp68sJnIODHzFo4hkb76CasnPfVkQRNC9vvwxQCqWt0R8JMH1zLqO7+fPnpgI+Vk8dQ3TNIVd8gmaCfTLDwIrcNna76Ksau6yYT9JMKBYjG3YaE6fPhaBqZUJDBqijNLe1E40kGa2MljVSpabSPrctHxiTQVx+ipifJ+FX9JfFZB7ws8bnLWYhqV8XT+NIm/aEQZkDHMtxBqd01Ud716TR6mW3aGqvI+H1svXQNWU0nYxg0pgZJGzrN/YNEMu5g35pgklUNNWQNA4RgwAhiGhqzWtppj1XRFyp4vNuiVdSnk2jSQUiHLbva6AuGifsCRKwMTakBdCmxEaSFH0cIok6GsJ1lsCZAIGURTVVGeMOkmERH/nM/YVppJInfi6a78tdPLi97waNfcf+hebnpi78TWPjyE1NJLwZefM4DXh9AoQfH3WeMXnxkyRJAxyLMABKNaroBSTVuJpt23EGUGg4GWQQOFn4ENgKdFOVWtMJ9kEPzhp2WRuezCCQBBtAwyVKFhiRGa5G3v/Rc2IRJMBY/g/hiNuK5n8GjbyHP+ycM06ABwNARk0cRnn8e5vl3o11/LxqljXqLMH6GEk4CxtXD0nXDlw/w6E/ghCtdr3qOxmqY3AS1EThhbzhud7jjBXh2EcwaB6cd4PY87rEVvPpr+MuT7m/rG/vDNpNKy7/nPLjpicKg2FP2L/3+4uNh9kR4+E13n2ccDNVh+OvT7qRbO0xxs+r8lzMSI/QzZ85k3rx5w84JdN9997H99ttvcvlK0H9GkVJy1llnsWLFCo4//nhmzpxJNBpF0zT+/e9/85///AdniEFyiuGZWiP49d5udOXJVQ7Xvi2xpBuV/8IG0lTWBgU/2lXwo10r19OE4MRZghNnrX//Ub/g+zsN/RA6eLJkUpXk38sl42Nw7s4aW9S5677wZcFvXnNY1geHTBJ8ZweBzxPBh03VOMxtCxLPSi563uGqt2RJY+WEmYJJ1Ro/2wPO2Uky8Qa7OAlOnt3GCmY2uD0U29+6cfdWfRC6kzKvUKReLDEEi5qqcDThjgguQgrB4uoIOJKQX5Aq2p1hO8zq6GNxTYysrhUNlGXo4JoQ1KbSfH5NO81FkyQlDB1jqPXzDYHhj2tJdZRjV61jfm0NWU2wKBzizaowcUMHR/JcQx1xQ2fnvgGEpvFuXQ09XsMhaNtDdn0GvQw1hm0ztbevRPRUZbKsiUUZjEULYt6ra3U6Q9JvIDWB8Kzsr289jWkr19HQO0AyHKJ3VA11PQOMX92Wn8Spp7aKlknN6KZNY3+C2GCStjH1tI1tyGehCSXT7iDVonPZ1VRPOJHCGSLHf7Tfi15LCCVSNHbGaehOlMlS1/5R2FpWnI+AbdNfF6ZrVDUOkmA6C0IQj4QYjIRc607fIJNaOumNhuiOuZH1jroo47r6aO6PY2mC90c3kPb73AHJRS/4lN9PZ1WUUYOD9AVDaLab/cjSXcmZ0X3oto0hJQ2pBI2pwfxgUhvBKl8jKS3gHY1DwvAhdY1M0J25N1A0A5sExlAacKkmSYI4QU98lovc3C0dJUk/MYqj9FUMDCP0iwcJuyXYCNKEEFjEvPzzxVcht+8QCUKesBWet7ywD5tA3jMvSRCjjnZ0LHRvhlcfkkHqcYokgz6+Cv+MWkRVACdu4qwdwFncVhY9d2st0RBIfGS9gbESyga0uhYatykI4BDAHFOD//XvQXMdbDsJ8fN7YXA9gv5UV8iKmhD+P34Fnnq5xF/u1FRh77QLdscK9PkfFLbTNPjynnDQJcOXDW70fL/ZsPgq+O39rrd9xylw3hehrqzBc9Le7l85202Gq745/D4CPjjz8+uvx9Gfc/+KOfVA9+9/BDnMHCSfZc4++2xOOukkttlmG4499lgAHMdh2bJlXHLJJbz00kv861//2uTylaDfjIwd63ZTL1++vOK73LLcOu+//z5Lly4dcobX++67r+TzmDFuN+HKlSuHLVdRyv4TNfYfzrLyKaAJwVk7CM7aofK7yTWCaw/csBcm6hf8fj+dY7aQXPqSw+oByWFTBJfuXnjw1QQFzxynsec/HBJFgca6IOw33ht/MIw9c0YtXLGPxq9fc+hJwfFbapyzE+x8q83CToa0wjiaa5HxaZTMQlvlh1FVGjs0C368h86vnzR58H2HWNZiu44+GlNZpgykuHfSxs3KGLIdxiVKK/5GQw1LxtZCSrqDasEV83nhJ0v+U4yp6dRnsywPBVgQKcri4bgCJexI+iMRFni2uK6il0tfMEB3MEB9UZQ+q2m0xaIA1FgWgSEGzQkh6Kitorw/QXccRnX20tJQ60ZuDYPG7n7GdHRjOA5+08QMGYxb05EX8wB1vQNU98fxmTa6404MlRfz7g5JhYMVg7dNn8G6CWPQhEQr7hGRkolL26ntSeYFqeUTeV990Yp597VkaF+nJmGgPoptaPgyWTTHwdE0DMtG5gYgmjarGmpLSxaC1roqRvXH6aiKkl5PFo+0YeBzHKJ9GfyeBpSaZIAg9R1JElUB4kaAqJUpGZDbq0fyYt49Bo1A2iEV09EsyKKBDoYj3fvbcPBnKgdGNtC3Xk+rG7XOMIpO+r2sNzHi1NODm1GneOBrLj99qWS3MejAHVjnYzUhKn+8hWuQO8byqancgZ8+TM/XbtDKROroIEAaiwA2GnWTLeI9GmYgQuCLM6m+bD+0uoItVJo2g5c8S+b6V6A7gTuRmSBFE9nqZmqyHyBSWXL552VzLZnBML64+/DIEoMxNRi7TMBZ1I6+1xQCvzwUGopmJv7BYfDTf5Qe4Mxx7qEdNQd+cmzRYenw2E/dfPBvfAC7TEe77KuExje4z4Pf3Ad/m+f60889AmZPgMwQ/vqGmCvWD9gGfvFVd1l1xE0XqfjUkCMwy80JJ5zAqlWruPDCC7ngggsAOOSQQ5BSomkal112WUW2ww+DEvSbkS233JLRo0fz73//m6997Ws0NDQAYFkWt912G0II9t7bbdFrXtRMlvluly1bxjPPPFOyrL6+ntmzZ/Pss8+yatWqvI/eNE3uuOOOT/ioFJ81dh8rePSY4RsA24/SeONEwbefcHhxnWTbRrhyP52IN9PnnGZBTQD6ilwjfg0eP0ZjQrVW0ZvxwlcF33nC5s73JOkybacL+OIWGt/cGi55zuHtdslu4wR/PNhgi/rCA/m4cD/+98uinKaF5shSn6SAkGl5s4AWmDaQRN+tETm/l1TaYXFjNbt8oZG/726wxZVpzKI0ej7bdvPIr6fLtiGToda0qc6YJEOVKfjGORYx6SW0E1SkyXxk2kTmLl1B2LToCwV5c8woTE3D7zjoQmMg4KcqU4g0+jJZpq9txec4mIZOf3UVtneMkQY/xnu9TF+1FiGhs6aKxt5C1hrDcRjd0pWffbUYw7Lz4wHSoUDlMQvh5e0vLNIcidQ17P9v777joyrWBo7/zrbUTa+0JBB6J0gnoAKiFEGwIiAqRfACggWsyPWK5Sq8oiheBQQsKF0FBZQiTVBBkd5CL+m97e68f4QsLJtAEgjJ4vP9fKLsnDlnZvbsJs+ZMzNHFUx41JTCkG9Fs9kwp18c0qEBhvzCwR+XvjuOv7NsXOxTLpTtbiTHpMeYl48xz4Ipz0LUySTMWXlYdRrxfp6cC/B2ag+ARa8n36An23TpBE3n6zL/7Gyy9AZ7MA+g2QqmctbNPcvZDF9OegYQnp2MT362ffhHjmbicgaLFZ9EK8YL7bXqdWR46Ap6dm028jDYh9MUtFkr8gFRl9KwYsOIJ7l4Eo+BXHvvtnZhLLzN1ww2MNQPRLf9sFMjjfYyNDIwFxnQg4YyGtDl513Sw++cp/C/es2GTTORafMn78LxtUBPvPZMINC9+AsozajH57Xb4LXbsOyPJ3PUt+RvPo6haRhe03qgeVjhX58UDCVpGY02/TGMViM5o5di/eMU+tY18Hq/L/qGxV/Ea8/3KxjHPuungnH1Y3rAc/cUm5/IEPjiKed0na5gTfgJl+3bqjZsO+iYtmYSNI0qvgxRIVxxyA3ACy+8wMCBA1m0aBGHDh3CZrNRq1Yt7rnnnmseIi0BfTnYvn07ubnOK2X4+fnx7LPP8swzzzB48GD69u2Lp6cnq1evZteuXQwZMsS+wk1UVBQ1a9Zk7ty55OTkEBERwfHjx1m8eDHR0dHs3bvX4dhPPfUUw4cP57HHHuPee++1L1tpvXy1ECGAugEaa+4rOuj3NGosulvH0B9tHEmFWn7wv24FwXxRfN01Putp4LOe8NavVv6zxUZaHtxWQ2N+T739wVh31Cz+IqNOHedx7snuxoIe0Mt6kBsnpnHC25MzXu64W6y0Pp9MvZQMpuZFcPbTcHzdHX/Rf36vG2O/z+N0uqJRqEYVs5FVhwqCXw+lsClFrtNTWgsGJpx3cw7u6ofq+V8/b178OpMj561U9ddhjs8nX4McTUOvFDVSM/DKy2djRFWOBfhhtEGQxWKfA3A4MIDoxCTMuXlYlcKcfTFQNlqs+KWlkRQYQO0YH/wt2ZzdcnG8fEhyKrrLYncNhabXUFbHHnWNC7emLTY8MrLRbDbUJW3VWW2YLFZy3U32YTjGwt8ZmmZfW91gseKZlYcx37FgDYiLCiIkPh3vjFysOo0z1QKJPB5/SdioXRhIoeyB94GoEIz5Foz5ViKOJ+GXmo12Yey93qYIS8oky81IupfzTHZTvgWTxYIpPx9b4f2MwnFAmobOZqNKSsEFz5GgQALOOQ7RyMGEHkXV7BSy9G6c8CroWAnLTiY0NwUvWzapese1RjyteVgsRnubDVaFLdeGxV1DQ+Mvjyh02Ai1pBCcn8IZAgkkBZ8LK7EUPFu2YGKsDQ0LOkyXRecWjBjIt0+aNWDBc80j6FsW/E3I+3gzucMXOuyTq3ODC2vwp+CPN+l4OKz+orB2bIDXymFYH52L9Zs/irwjZcFAYVBvCHIn7PMeZA5fgu1oMrroQLw+uQftCsH85Qx1g/Fd86jzhvWvObzUA14bn3TOV+yB9fDWoIKf8jB/DAyYVnDREeQDUwZIMF9J2fRXv2tdmWRlZdGxY0eGDh3KiBEjeOqpIi40r5EE9OVg8+bNbN682Sk9IiKCRYsWMWPGDD799FPmzZtHfn4+kZGRvPjiiw63WvR6Pf/3f//HtGnT+O6778jOzqZWrVpMmjSJAwcOOAX0TZo04YMPPuD999/ns88+w9vb2/5gqQceeKC8myxuMrfV0HHocY3EbAj0oMSrGjzbWs+YGB1ZloJ5ByVVr4End/X048eVKVitEBRs4KXRofwv2MT0Zem8td9ArkGP0WqjWkY2reNTydHrMFoLBiac9nAjxwJrj1rpU9/x19q9jQ3c01BPSg4EemqcTLXRe14uO87YyDYaCEnP4ryHOxcjHY0Edzc+jYmGTJtTAPRCV3fa1zHx8wtGkjMVfp4aD/87gWNnrfjarLQ6forqqensC/TnQGAA9c4n0vTseYw2xc7q4Zw3e2MzGtgdFoLeYqVKcgr+qY6T9Az5VsZ9UJeAGp6sGOr8u+TyXnGlaVitF584WvAk3IJ/51XxwWt/Iu5YiTx8lmM1Q7HpCx5S5JuYRrqfJ/5n49EUZHu4ke3p4diTrxQ6m408dwMWg85piE16gCfx1f3QLDby3UwonUaeh5Fah85isF5covDSBQADdFZOA5HHEvFLzbanF/TmF7TDKzefFB8PdFabw8VOrfMFk4lTvDwd6qkphU5ZqRWfiE9uHime7mR6Ggm4bBKl2yXLFnpbcsg0uKEBWQYThlwbgbYMsqzupOi8QNNwt+Xhbckm5bJVXvQ2hT4/n3yD8cITe/WcNgYSb/PFaLVe8pRYRQq+pOBrf1orQBTHLxuSo7uwZGQueqOG6cVu9mAewDSsHbYDCeT/3waw2NBqBuL2dHf0L/2ONTEHnZcJ2+sPo1u1Bdv3uwo+C21r4rV4CJqXG4YFQ9F/koNt61EsPT8oeJDGhQFOyVzsFTc1C8XYtTa+h55GJWWjBXpWilVNbojaVWDbW5CUDmYPxxVpRKXiaj30np6eHD16tFy/S5q6fEyHEEJUkLRUCykpVqpVN6G7MEbSkm/jgynH+fVAPr65+QR4aeiC3Ek9VjC8IFuvY3mNUM67m5jZy8SwW0r2R3jnaStjvs1hwxGrU9Cu0+D7Rz1x0yn6fppBak5Bhl4NjSx61Ns+KbnQ7/tzmfhRCpkX8nWrqxFnNXDmj2TuOlAwj+VwUAC/RVYr2EEVhHUeFitV0tJpcdRx7WF3XyOPruiE3qDx9V0/kRrnuPSgZrUVPNFS01BawQWA3qbQLgnkNSDXZCT4qeYErD1C/M8FjxrOdjOyu0kkWd7uhJ8467C2PUCa2Ytss1fBzQSl8EtKJ9+zIJgNPpVK5IFz9p7281V8ORld0MOdf2GVmUJ6ixVzahbhZ5LsD6kqvBBJ93bjQO1QYnYcdxoAoruwcvuxcF8SArzRrDbMGTlEJCTjnZOHDsg0GdlbNYTLRZ+PJzSzYPKnDTju50+q0QO9ReGVno+bxUIVkjBduLyI8w4i2eSJAiIzzxOSe/HCKg89Vk2Hm7ISRwj5Tss22tC7WcnSezik66w2GgUk4nXm/CV5IY4q5HPxjk8o8fiQ4TDjQIcVj+c74/5UR7Sgoocc2c6lo86lo2sUhqbTYcuxkLs3CVNNX/QX1uZVcYmo3Hx0dYsevmJb/DvWfh8CikTCyL2w+rku1IvQVQ9iauL83gpRmUxv+SMA//rtjgquSck99NBD5OTksHjx4nI5vlx+CiEqDR9fAz6+jr+WDEYdY16O5NjBLDLTrUQ39OJ8DsS8loqH1cYpL3csOh0oRcuqJV/5oFkVPeuHe7H+sIXHFmZzOLEgGDfpYcEAD7rXLajHqVf9WH84n1CzjpjqRf/KjKnrxpLXg9l5KI9Qfz3R1Yy88Hk6PgkX5wUcC/S7uINW0Budp9dxxtuLMz5mwtMuBJMatHuyNgaTjt+m7iHtcPqFeYyFq/ModBfGzx+rEUqXEVEce26T/bj2SaVAfJso7htcDa8nI0n+PYG8pDz09fxpdCYfLyysGHocddmta++sbIYvaEXchniOPrEJDcWR+uFYTAaCzqXZe5U1wD8xg1R/E1k+nlj0eodeM6tBj2ZTmHIspPh4YM7IsY/7zzMZUBpYDDqMRTyVLdPdSNKFB+7oPAzEdgwi+X8X11vNM5uchmIBeOVf7H0/5h9AgvfFoDjXQ0/MmWOY1MXVbNL1RvRmI9a0fCya4/tgwopSBT3qwaRxmgDsw1IC3fBMPE+eMnH5Cq8hPavhteKQQ5oG+JBJ4iUBvffrXfFUGeRMWoPKL3gaqaFlNdxfuB3N03moVyFdqBlCL66oonM34NHcMQDXIgOLHClv3353c3R3NIQf/yaYs+Rq7qjx3fH8951o7hIWiMqvqFW4KruXXnqJe++9l4EDBzJ8+HCioqIcnjdUKCAgoIi9r0566IUQLumJ5Xl8tP3ixMO76+lZOqAETw8rQr5V8e0eC/GZil71DVQpZr5AaRw+a+G9oTupdbYgqN8QHckZPx+HPAabrWB5QaUISc/g9toa9z1aBf/Igh7Tea2+Jzf5wmTGC2PiM7w8yPDxBqOOx+bFEF7VnXUjt3Di+5Ncrvv3XQhu5O+UXmhut59JS3AckmLIs/Lg1+3xbeDHbwN/4czS41h1GtleboSecX6c8PlQD3I8jJyvEkC++8WJt5rNRtT+03hn5uKfmmW/ELDqNPbVCyPb043gc2lEnrh40WPT4GQVX5J9Lw778Qh0Y/D6bmRuPE3On/F4tgvn9Kk8Nv5rC7ZLnm8Q3siHmt/+VVCGprGjajWn2/KazUpQdia5ej0BGdlo7gYabn+AzH0p5O5PwvTmT6jzF9YtN+rwfasLqa/8gkrLJR89mToPAl5qS7YykjP5Zzx1Oex3q26vh15ZabOgA+qxL1Hxjuufx+NPMr4AeLcOoeHGu9EMOmwnU8j/fh9aqDfGHvXRjDdmbLCy2WDVbtSReLRuDdGiQ29IuUJcD9ParAFg7FbXWXNfd8n8pSsNvSnr3Ee5FBdCuKQZvYx0r61j83EbzcN19G9Y9kDIqNe4p3HJJ/2VRK0wAyNeqsXqMSlgsVHnXAJnLzwNtoC62MmsaZz3MWNs6W0P5guyXLIuiaZxLiSQc1UuPmlw9junmfB2FJ0+aMN3R1aTsvfi5NkqnUKvGMwDdBwZzYpJux2WgPNOz7GXGzOnPWeW1SBlRxIeIe4cHb21yOPolMIzMxf3MDdSzuagNA1N2UgJ8MYt10KinxceuflYTRonGvmQk1tw4RUf6kNwlyrUDjVgDHQjLy2HA9/HQ+7FfqamjxQ8aMGrQxW8OhQs0VurOfhEduGvmQfIS8mjZs9qRPetwcn258gt7slpFKyQc8anIKjONRhp1cEP31pmfGuZoUd1rA9HkzXvL2ypuXg+0BBjg2A8BzQic+4uVGou1e9vgKFeIOsCvsITd0JsqTTMOUaSvqDHPNCahneDXuQ/E0v2syvt5Wqh3oTO6IvHtiTca/sS9FA0mqHgj7uumh9uw9tc8TyVB02ng+6Nr9iTL0RlZXNayKDye/nll2UMvRBCuKqEg+nsWnwSa74N4y1hbE0wFDzbyqr4fuPFFUncTRqfvBREtZCL/Szb393Nnx8eAArW9N/dsLbTA1WGT6xOwxbeWLItHJh/hMS/kghqFkDtAbUwuF/5IkfZFD/EruTs2TyUTsMjK48qjf3otLLoB9Ssr78E674U++t8o45z4QWTU0Nuq0J47xqseXM/uR7u9h52Q56FkNPJ5LsZSAnywrv3EZr7dSQlLpuqLfxp2LsqOsPFNmWcyebvL4+SeT6HqNvDqdk1/PJqFMualkvqBzvJ3ZXA3vMaZw5c7CVXgPWSoUvu+fn0+ioWzw5VS3x8AFuelbVen6MsNupyHLdLlqc0dqmJ/+pHAMhb/Dd5S3ajq+KD25Nt0Vf3K1U5QojivdN+LQDjN91awTWpPKSHXgghylFQbTO3Plff/rrw2ZFKKaKrGVn/Rw7+Zh33d/NyCOYBWo5tgMVkYPOsY+S4m4p8OmJqcsG4cYOHgQZD65SqbppO49bFt3Jg2h5S/krGv0UN6o4r/pHH1scbcmbabnyTMrHqId33wnKXGjQfXpvglkGseP+4wyRji8nAmRoXx3Qrm56YwZEYjUXfEfEO96DNuAalakchvY8bARNbA2DbeI7jA39BbyuYU6Au3AkpFH1fZKmDeQCdSU/ofZGc/eIoh6lKCMl4aPn4D2+Cz5u32/OZ7mmE6Z5GZWqHEOLKXG2VmxtBAnohhKgAmqbR91Yv+t7qVXwenYZXx2r8vVUPCjzzLegvualqMGo0bF70aigl5R7iQZPXY0qUt063ULZ/e46TNQPxTs3EIyMHNz8T7V9tSmjrYLJS87nSPV+dORe9r/MzOspD2C1BmEI9yE4oKE+zKfR6MFfzIrpfBI1H1ivzsevNbIsx0I34b0+SFVGVsEnN8OtcsqcaCyGunStOip08efJV82iaxksvvVSm48uQGyGEqMSysqyM+1ccubkFy1K651vRK0VYFRN9BofSsMW1BfSl9ef3Z9k05xhZKfnUiQ2i29ho3M0X+4Y+Hf4n5w45TgjVYaNaQzPp1Xeg981jyJAhxfbQX0/xu5LZMmknCbuSCWrsT7tXmxF0lXkFQojK783OvwDw3LqOFVyTktNdYdy/pmkopdA0rcyTYiWgF0KISm7nH5l8Nvs8KclWAoMMPDo0hAYNPSu6WkWKj8ti6WsHiD+ahbu3nk6PRRDTO4z8/Hxmz54NcMMCeiHEzemNWzcCMGFthwquybWx2WwcO3aMDz74gA0bNrBy5UoCAwPLdCwJ6IUQwgVYrYq0VCu+fnr7Q7cqs/SEPDx8DBhMBb1SEtALIa6X128veIL28z+1q+CaXD8DBgxAKcUXX3xRpv1dbxCSEEL8A+n1Gv4BBpcI5gHMQSZ7MC+EENeT0rSbbmJsbGwsK1asKPP+MilWCCGEEEK4DJuLdGyUxm+//XbFcfZXIwG9EEIIIYRwGa7YOz937twi01NSUtiwYQOLFy/m8ccfL/PxJaAXQgghhBAuwxUD+kceeaTYbUFBQUyYMIGXX365zMeXgF4IIYQQQrgMq+Z683OOHj3qlKZpGv7+/pjN5ms+vgT0QgghhBDCZbhiD72maQQHB+Ph4VHk9uzsbOLj46lRo0aZju96lzhCCCGEEOIfyxVXuYmKimLJkiXFbl++fDlRUVFlPr700AshhBBCCJfhiqvcXO2xT/n5+bLKjRBCCCGE+GewuUjvfFpaGikpKfbXiYmJHD9+3ClfSkoKX331FeHh4WUuSwJ6IYQQ5SrPqpi2JI2VBzpS05LAfUl5+IXKk2KFEGVju4ae7Btp6tSpTJ48GSgYQz927FjGjh1bZF6lFK+99lqZy5KAXgghRLlq8d80DiXoyNPC2aoP4ee3MjjwqgmjtwT1QojSc5Ue+m7duuHt7Y1SimeffZYHH3yQFi1aOOTRNA0vLy9iYmJo2bJlmcuSgF4IIUS52XjcSt7+JJ7ZsZ/GZ+LZHRbEh22bMvfzMzw2vGyrOQgh/tmUa8TztG3blrZt2wKQmZlJv379aNSoUbmUJQG9EEKIcvP5jjxe//4X6p9PAqDhuURaHT/DwtMNJKAXQpSJK65D/8orr5Tr8SWgF0IIUW4artptD+YLRSanEfvnIaBNxVRKCOHSXG3Jyktt2rSJP/74g9TUVGw2m8M2TdN46aWXynRcCeiFEEKUm5DDp4pMj0hMv8E1EULcLFwxoE9KSqJHjx5s27YNpRSaptmXsiz897UE9K53z0IIIYTLWBZSnSyTgTy9jpP+PhwJDiDN04ivll3RVRNCuCirTsPqYmvRP/PMM/z111988cUXHDlyBKUUP/74IwcOHGDEiBE0a9aM06dPl/n4EtALIYQoN+vDq5Ec4MaeqiGcDPDjvI83e8LDyTbICjdCiLKxoWHDtQL6FStWMHz4cO6//37MZjMAOp2O6OhoPvjgAyIjI4td0rIkJKAXQghRbuqcP8+e8FByjCaH9CO+oVd9cqIQQhTFFXvoU1JSaNiwIQDe3t4AZGRk2Ld369aNH3/8sczHl4BeCCFEuQnPzOGXmhFO6fk6PbY8WxF7CCHEldk0zWXWoi9UpUoVzp49C4CbmxshISH8+eef9u2nTp1Cu4Y2yaRYIYQQ5SbJ3QODMqLA4Qb5OX9vdAbX+oMshKgcXHFSbGxsLKtXr+aFF14A4P777+ett95Cr9djs9mYNm0ad9xxR5mPLwG9EEKIclMtJZUq+UbiqwThm5SG3mIlLsSfM4Ee2PaeRd+oSkVXUQjhYqwuGNCPGzeO1atXk5ubi5ubG5MmTWL37t32VW1iY2OZPn16mY8vAb0QQohyUz8phVRzMDleHuR4eQCQ4W6iz1+bOL82h3AJ6IUQpeRqw20AGjduTOPGje2v/f39WbNmDSkpKej1evtE2bKSMfRCCCHKhcWmMOXmOaW75+TT5shhVq2VpSuFEKVn0WlYXGxSbHH8/PyuOZiHUvTQt2zZssQHXb58OVWqSK9Lof3797Nu3Tp69eol74sQ4h/jh62p/BYWQJ30PI4FmMnX6aienkn77UfZFBHJvni5SSyEKD1XW7Ky0PHjx3n99ddZu3Yt8fHxLF26lNjYWBISEpg8eTJDhgyhefPmZTp2iX+bTp482eH1jh07WLJkCX379nUq3N/fv0yVuVkdOHCA//3vf8TExEhAL4T4x1gx7wBajp5vqldhZ2QoAFHxydTfepglDdrjacus4BoKIVyRK06K3bNnDx07dsRms9G6dWsOHTqExWIBICgoiI0bN5KZmcmnn35apuOXOKC/6667HF5brVaWLFlCkyZNnLbdzDIzM/Hy8qroajiojHUSQvwz2ZTi+yOKPbuT+TPDQG61QOL8fbnj7yME5qXS/vRe7szZStt1O3iv9a0VXV0hhAtyxeE2zz77LH5+fmzduhVN0wgJCXHY3qNHDxYsWFDm41/3+51KKRYtWsTSpUs5evQoOp2OBg0aMHToUIdhO6dPn6Z3794MHTqUmjVrMnv2bI4dO0ZwcDCPPvoovXv35uzZs7z77rv89ttvWCwWOnXqxIQJExyC10mTJvHdd9+xevVqpk6dyqZNm8jNzaVx48aMGTOGevXqOdVx1apVLFiwgIMHD2K1WomOjmbgwIF06dLFIV/Lli3p2bMnd911FzNnzuTAgQPUr1+fjz/+mPj4eObPn8/27ds5c+YMubm5VK1alR49ejBw4ED0ej0AM2fO5H//+x8AI0aMsB+7Z8+eTJo0yb69qGFKvXr1Ijw8nI8//rhEdYKCK8BZs2axY8cOsrKyCA8Pp0ePHgwePBiDQW5vCyHKV79lNpYeUoAvbrXrUCU+g2EbdvJul5ZY9Hq+aNaMqa1v59fP3mD4X2vYN8WbehNjK7raQggX4opDbjZs2MDLL79McHAwiYmJTttr1KjBqVOnynz86x7hvfzyy/z444/cfvvt9OrVi/z8fFauXMmoUaN466236NSpk0P+jRs3snjxYvr374+Pjw/Lli1j8uTJGI1GPvjgA2655RZGjhzJnj17WL58OSaTyb7Ez6X+9a9/4ePjw9ChQ0lMTOTrr79m2LBhzJo1i+joaHu+GTNmMGvWLNq1a8eIESPQ6XSsXbuWCRMm8Oyzz3Lfffc5HHfPnj38/PPP9OnTh549e9rTDx48yNq1a+ncuTPVqlXDYrGwZcsW3n//fU6dOmVfZ/S2224jISGBJUuWMGTIEKKiogCoVq1amd/j4uq0ceNGnnnmGapXr87DDz+Mj48Pu3btsgf+b775ZpnLFEKIq9l8Sl0I5gvkerjRf/tvLGxRF8uFTg6AQ4EhfNK0PeN/XU3ivxeBBPRCiFKwul48j81mw9PTs9jt8fHxuLm5lb0AVUbLly9XMTExavny5fa0n3/+WcXExKhFixY55M3Pz1cPP/yw6tWrl7LZbEoppU6dOqViYmJU+/bt1enTp+15k5KSVNu2bVXLli3VvHnzHI7z9NNPq9atW6vMzEx72iuvvKJiYmLU008/bT+2Ukrt2bNHtWzZUj355JP2tL1796qYmBj1/vvvO7Vn3LhxKjY2VmVkZNjTYmJiVExMjNq6datT/uzsbIfyCr344ovqlltuUfHx8U7v1fbt253yf/TRRyomJkadOnXKaVvPnj3V0KFDHdKKq1NOTo7q1q2bevzxx1V+fr7Dtvnz5xdbfkVITExUOTk59tfp6ekqLS3N/jo3N1clJCQ47HPpZ6So12fOnHE4H1KGlCFl3Pgy5u+2KN7Od/h5u8EKZR6XqHg+w+HniTu+UzYeUimmYZWuHVKGlCFllKyMinLn4yfUnY+fqOhqlErHjh3VXXfdpZRSKiEhQWmapn766SelVEGc3LhxY3XnnXeW+fjXddnKFStW4OXlRefOnUlJSbH/ZGRk0LFjR06fPs3x48cd9uncuTPh4eH21/7+/kRERKDT6Zx6y5s1a4bFYuH06dNOZQ8aNMjhkbn169endevWbNu2jaysLABWrlyJpmn06NHDoX4pKSnExsaSmZnJrl27HI5bp04dWrdu7VSeu7u7vbz8/HxSU1NJSUmhbdu22Gw29uzZU8p3r+SKqtOvv/5KYmIivXr1IiMjw6Ft7du3t+epDAICAhyuQr29vR2WbDKZTAQGBjrsc+lnpKjXYWFhDudfypAypIwbX0aXCB1uFzviccvP4/da4TQ/fp7L3Xl4N2Al76EOla4dUoaUIWWUrIyKYkNzuWE3EydO5IcffuCJJ57g77//BuDcuXOsWbOGbt26sXfvXiZMmFDm41/XITdxcXFkZmbSrVu3YvMkJSURERFhf121alWnPGazmaCgIEwmk0O6j48PAKmpqU77FA5luTxt69atnDlzhlq1anH06FGUUvTv37/Y+l0+rqlGjRpF5rNYLMyZM4cVK1Zw4sQJlFIO29PS0oot41oVVaejR48CzqsRXaqoMVtCCHG9hHppfN1Lx+hV+RzL0hOWnMCiNnWZsPRXskwGfq8Rhocln96H9xOcm02S0Y/g2QMrutpCCBeT74KTYu+8807mzJnDmDFj7PMeH374YZRS+Pj4MHfuXGJjyz788LoG9Eop/P39ee2114rNU6tWLYfXOl3RNwmKSy8sp6w0TeO9994r9viX18/d3b3IfFOnTmXBggV07dqVRx99FH9/fwwGA/v27WP69OklruOVrnStVmuR6UXVqbC8MWPGUKdOnSL3Cw4OLlGdhBCirHpH6+hVy0RmPowZepSj5xM5VSOQLxd9hcmah8lq4XBQVQ5VrY5bphuBVz+kEEI4sLpY73yhgQMHcs8997Bq1SoOHTqEzWajVq1a3HHHHdf8cKnrGtBXr16d48eP07hx4ysO/C8PR48edXikbmGaXq+33zKqXr06mzdvJiwsrMge/dJYsWIFLVq0YMqUKQ7pJ06ccMp7paC98K5DWlqawyo3ubm5JCQklHjybGGvvYeHR5FDhIQQ4kbRNA1vE4wJTGZYSgDjf/iegNyLa87Xjz9JtVQ9pwMknBdClJ6rTIp9/vnneeCBB2jSpIk9zcvLi759+173sq7rGPoePXpgs9l4//33i9xenkM+5s6d69Arvm/fPrZt28Ytt9xiv7goXC//gw8+KLL3uzT10+l0Tr3w2dnZfPHFF055PTw8gKKH4RQOP7p8fPsXX3yBzWYrcX3atm1LQEAAc+bMKXJIUk5ODpmZ8hAXIcSN0+C+huRrJkIyC34npbm7keBV8PvYM89Kbk3fiqyeEMJF5et05F9hJEdl8cYbb9jHy0NBnKnX6/n555+ve1nXtYe+S5cu9OrVi6+//pp9+/bRsWNH/Pz8OH/+PH/99RcnT55k2bJl17NIuzNnzvDkk0/aH6H79ddf4+bmxpgxY+x5GjZsyLBhw/j444956KGH6NKlC8HBwSQkJLB37142bdrE1q1bS1Te7bffzuLFi5k4cSKtWrUiMTGRb7/9Fl9f5z9QDRs2RKfTMWvWLNLS0vDw8KBq1ao0atSIVq1aERERwcyZM0lNTaVKlSr8+eef7Nq1Cz8/vxK338PDg1dffZWnn36afv360bt3b6pXr056ejpxcXGsXbuWt99+2+FZAEIIUZ4MbWpjfm83aSZ3/t2zK5/f0gKLTkfXfQf58MsFpLePvvpBhBDiMpaKrsA1uJZh41dy3dehf+WVV2jZsiVLlixhzpw55OfnExgYSL169Rg1atT1Ls5u+vTpvPvuu3z88cfk5OTYHyxVu3Zth3zDhg2jQYMGfPXVV3z55ZdkZ2cTEBBArVq1ePrpp0tc3rhx4/Dy8mL16tWsX7+e0NBQ+vbtS4MGDRg5cqRD3rCwMF5++WU+++wz3njjDSwWCz179qRRo0bo9Xreffdd/vvf/7JgwQKMRiNt2rTh448/5rHHHivVe9C2bVs+++wzPvvsM1auXElycjI+Pj5Uq1aNAQMGOL0XQghR3hqfP8Cgh+9nU/2LwfuqBnUZ9mA/pvUvetEBIYS4EmslWGmnstFUeV0q3CCFT4r97bffKroqQgghLvNmmwV8GtuWgyGOT8L2zcoi6UUzOhdcrUIIUbHqPxkPwN73K/diHzqdjvnz5/PQQw8BBUNugoODWbNmDbfddtt1Leu699ALIYQQhUwZBrrv2+MU0EefT0Apb3DR1SqEEBUn34V+bcTFxfHHH38AF5ddP3jwYLHDqlu0aFGmciSgF0IIUW6MuVn0/+MwK+o35fCFpXP9szJ5+fuVaNNHXmVvIYRwluVCQ25eeuklXnrpJYe0y4dmQ8HYek3Til2y/GokoBdCCFFuAnXZRJ1KZ/u7b/J9g0ZkG4302PM3J02h6Fzoj7IQovJwlYB+9uzZN6wslx9DL4QQovKa3/Eb0uNt3BX3FyG5BbebUzUzK+o359Hd91Vw7YQQrshtbMEy47nT5FkWhaSHXgghRLk5UacKL93enJFe/ah9/hxWnY5znj7ctu8wj1Z05YQQLinPRXrobyQJ6IUQQpQbd/RYPYwAHAwJtaf/Ua1KcbsIIcSVSUDvpPI/ZksIIYTL6uGdWORCNqHZ6Te+MkIIcZOSgF4IIUS5ieobRVjSZcG7UryQs7diKiSEcH06reBH2ElAL4QQotwYOzdg5o8LqHcmAZ3Nhk9WDkO376T34JoVXTUhhMvSkGdYOJIx9EIIIcpV74+7Uu/BGRw2huGXnULTAVEYOj5Y0dUSQrgq6Y52Im+JEEKI8nVLNFG7XyD9/hz2j/HFOKl/RddICOHSpIf+ctJDL4QQovzpdKRU8a7oWgghbgYSyzuRgF4IIYQQQrgOWbbSiQT0QgghhBDCdUg870QCeiGEEEII4UIkor+cBPRCCCGEEMJ1yBr0TmSVGyGEEEIIIVyY9NALIYQQQgjXIZNinUhAL4QQQgghXIfE804koBdCCCGEEK5DAnonEtALIYQQQgjXIUNunMikWCGEEEIIIVyY9NALIYQQQgjXIctWOpEeeiGEEEIIIVyY9NALIYQQQgjXIR30TiSgF0IIIYQQrkMmxTqRITdCCCGEEEK4MOmhF0IIIYQQrkM66J1IQC+EEEIIIVyHDLlxIgG9EEIIIYRwHRLPO5GAXgghhBBCuA4J6J1IQC+EEEIIIVyIRPSXk4BeCCGEEEK4DonnnciylUIIIYQQwnVoXDGonzRpEt7e3jesOpWBBPRCCCGEEEK4MBlyI4QQQgghXIcMuXEiPfRCCCGEEMJ1aNo1rUW/a9cu7rjjDry8vPD19aV///4cP37cvv2xxx6jY8eO9tcJCQnodDpuueUWe1pGRgZGo5FvvvmmzPW4nqSHXtxQSinS09MruhpCiBssPz+f7OxsANLS0jAajRVcIyHEtTCbzWgV9YCnayj2xIkTxMbGUqtWLebPn09OTg4vvPACnTp14q+//sJsNhMbG8vnn39OTk4O7u7ubNiwATc3N3bs2EF6ejpms5nNmzdjsViIjY29fu26BhLQixsqPT0dX1/fiq6GEKICjR07tqKrIIS4Rqmpqfj4+FRI2erpsoevU6dOJT8/n1WrVhEQEABA8+bNadCgAXPmzOFf//oXsbGx5Obm8uuvv9KpUyc2bNhA3759WbVqFZs2baJ79+5s2LCBOnXqEBoaer2adU0koBc3lNlsJjU1tdyOn5GRQY8ePfj+++9v6hnu0s6bi7Tz5iLtvLlIO4tmNptvQK2uv19++YXbbrvNHswD1KtXj6ZNm7Jx40b+9a9/ERUVRbVq1diwYYM9oB8xYgTZ2dmsX7/eHtBXlt55kIBe3GCappXrFb1Op0Ov1+Pj43NT/+KVdt5cpJ03F2nnzUXaeXNJTk6mWbNmTumhoaEkJSXZXxcG8mlpafz555/ExsaSmZnJwoULyc3NZdu2bQwdOvQG1vzKZFKsEEIIIYT4RwgICOD8+fNO6efOnXPotY+NjWXLli2sW7eOoKAg6tWrR2xsLNu3b2ft2rXk5uY6TJytaBLQCyGEEEKIf4QOHTrw008/kZycbE/bv38/f/31Fx06dLCnFfbIv/vuu/ahNc2aNcPDw4M33niD6tWrExkZeaOrXywZciNuKiaTiaFDh2IymSq6KuVK2nlzkXbeXKSdNxdpp2uyWq0sXLjQKX3MmDHMnj2bbt268cILL5CTk8OLL75IjRo1eOSRR+z56tWrR0hICOvXr+e9994DQK/X0759e1auXMmAAQNuVFNKRFNKqYquhBBCCCGEENfDpEmTePXVV4vcNm/ePJo0acLTTz/Npk2b0Ov1dO3alXfffZeIiAiHvPfeey8LFy5k586dNG3aFIA333yTCRMmMHPmTIYNG1bubSkpCeiFEEIIIYRwYTKGXgghhBBCCBcmAb0QQgghhBAuTCbFCpdltVqZP38+Gzdu5MiRIyilqF27NiNGjKB58+ZX3T8jI4N3332XdevWYbFYaNOmDc8++yxBQUE3oPals3XrVr799lv+/vtvTp06xb333stzzz131f1Onz5N7969ndIbNWrEnDlzyqGm16as7QTXOp8AGzZs4MMPP+TYsWOEhYXxyCOPFHmuLlWZz2dcXBxvvfUWf/31F15eXtx1112MHDkSo9F4xf2UUnz22Wd88803pKSkUKdOHcaNG0fjxo1vUM1Lp6zt7NWrF2fOnHFK37RpE25ubuVV3TI5ceIE8+bN4++//+bw4cNERETw9ddfX3U/VzuXZW2nK51LgDVr1rBixQr27dtHWloaNWrU4P7776d3795omlbsfq52Pv/pJKAXLis3N5c5c+bQs2dPBg8ejE6nY8mSJYwYMYL333+fW2655Yr7T5w4kSNHjjBx4kRMJhMzZsxg9OjRzJ07F4Ohcn01tmzZwsGDB2nRogVpaWml3n/UqFG0bNnS/trT0/N6Vu+6uZZ2utL53LlzJ8888wx3330348ePZ/v27fz73//G09OTLl26XHX/ynY+09LSGDFiBDVq1ODtt9/m/PnzTJ06lZycnKtekH322WfMnDmTJ598ktq1a/PNN9/w5JNP8vnnn1OtWrUb1IKSuZZ2Atx+++08/PDDDmmVcUWRw4cPs2nTJho2bIjNZsNms5VoP1c6l1D2doLrnEuAzz//nPDwcMaOHYu/vz+//vor//nPfzh37twVJ3W62vn8x1NCuCiLxaJSU1Od0vr166fGjh17xX3//PNPFRMTo7Zs2WJPO3r0qGrZsqVatWpVudT3WlitVvu/e/bsqd54440S7Xfq1CkVExOjVq9eXV5Vu67K2k5XO5+jRo1SQ4YMcUh7/vnnVf/+/a+4X2U9n7NmzVIdOnRQKSkp9rRFixapVq1aqfPnzxe7X05OjoqNjVXvv/++PS0vL0/17NlTTZkypVzrXBZlbadSpfs8V7RLv4evvPKKuvfee6+6j6udS6XK1k6lXOtcKqVUcnKyU9prr72mYmNjHd6DS7ni+fynkzH0wmUVPqL68rTatWsTHx9/xX03b96M2WymdevW9rTIyEjq1KnDpk2byqW+10Kn+2d8VcvaTlc6n3l5efz2229OPfHdunXj6NGjnD59uoJqVnabN2+mVatW+Pr62tO6du2KzWZj69atxe73119/kZmZ6fBeGI1Gbr311kp33qDs7XQ1Zfkeutq5hH/O71U/Pz+ntLp165KZmUl2dnaR+7ji+fyn+2d8msU/hsViYdeuXURFRV0xX1xcHBEREU7jB6OiooiLiyvHGlaMN954g1atWtG1a1dee+01UlNTK7pK15Urnc+TJ09isVicnjBY+JktSX0r2/mMi4tzao/ZbCYoKOiK7SncVtR7cfbsWXJycq5vRa9RWdtZ6IcffqBt27Z07NiR0aNHc+jQofKpaAVwtXN5rVz9XO7cuZOQkBC8vLyK3P5PO583g8o1sFSIazR37lzi4+N56KGHrpgvLS0Ns9nslG42m8s0Rr2yMplM9O/fnzZt2mA2m/n777+ZNWsWe/bsqZRjy8vKlc5nYX0ur2/h3aYr1beyns+yvv9paWmYTCaniYRmsxmlFOnp6bi7u1/3+pbVtXzOYmNjadSoEWFhYZw6dYpZs2bx2GOP3TTjkV3tXF4LVz+XO3fuZNWqVYwdO7bYPP+k83mzuDn+moubRkZGBgkJCVfNV7VqVadVJbZu3crMmTN5/PHHqV+/fnlV8bq4lnaWRlBQEBMmTLC/jomJoVatWowdO5a1a9fStWvXMh+7JG5UOytaadp5LSr6fIqye+aZZ+z/bt68OW3atKFfv37Mnz/f4ZyKys+Vz+W5c+eYOHEiLVu25IEHHqjo6ojrSAJ6UamsWbOG11577ar5Fi5c6HArcN++fTz33HN0796doUOHXnV/Hx8fzp0755Senp7uNC6/PJS1nddD+/bt8fDwYO/eveUeAN6odrrS+SysT0ZGhsO2wh7e0tb3Rp7P4vj4+Di1B67+/vv4+JCXl0dubq5DT2B6ejqaphXZG16RytrOogQFBdGsWTP27t17vapXoVztXF5PrnIu09PTGT16NL6+vrz11ltXnEPwTz6frkoCelGp9OnThz59+pRqnxMnTjB69GiaNGnCSy+9VKJ9IiMj2bZtG0oph3HXcXFxREdHl6r8sihLO13RjWqnK53PvLw8DAYDcXFxtG3b1p5e3JhVVxAZGek0hrzwrsWV2lO47dixY9SpU8eeHhcXR1hYWKW7pV/Wdv4TuNq5/KfJyclh7NixZGRkMHv2bLy9va+YX86n65FJscKlJSQk8OSTTxIWFsabb75Z4jHE7dq1Iy0tjW3bttnTjh07xv79+2nfvn15VbdS+OWXX8jOzqZBgwYVXZXrxpXOp8lkomXLlvz0008O6atXryYqKooqVaqU6niV4Xy2a9eObdu2kZ6ebk9bs2YNOp2ONm3aFLtfkyZN8PLyYs2aNfY0i8XC2rVrK915g7K3syjx8fHs3Lnzpvkeutq5vJ4q+7m0WCxMnDiRuLg4pk+fTkhIyFX3+SefT1clPfTCZeXk5DB69GhSUlIYP348hw8ftm8zGo3Uq1fP/rp169b06NGDl19+GSj4ZdW2bVsmT57MU089ZX8QUe3atbn11ltveFuu5syZM+zevRsoaPepU6fsv2gvXVbs8nZOnToVnU5Ho0aNMJvN7N69mzlz5tCgQQM6d+58w9txNWVtp6udz8cff5zhw4fzxhtv0KVLF37//Xd++OEHpkyZ4pDPVc5nv379WLBgAePHj+fRRx/l/Pnz/N///R/33HMPwcHB9nxPPPEEZ86cYenSpQC4ubkxZMgQPv74Y/z9/YmOjuabb74hNTXV6aE9lUFZ2/nDDz+wceNG2rdvT3BwMCdPnmTOnDno9fpK2c6cnBw2btwIFHwnMzMz7d/DmJgY/P39Xf5cQtna6WrnEuDNN9/kl19+YezYsWRmZrJr1y77trp162IymW6K8/lPJwG9cFlJSUkcOHAAgHHjxjlsCw8P59tvv7W/tlqtTk8BnDJlCu+++y7/+c9/sFqttG7dmmeffbZSrvzy22+/8eqrr9pfb968mc2bN9u3Fbq8nVFRUSxcuJDFixeTk5NDSEgIvXv3Zvjw4TdVO8G1zmezZs146623+PDDD1m2bBlhYWG8+OKLTmvTu8r59PHx4cMPP+Ttt99m/PjxeHl50adPH0aOHOmQz2q1YrVaHdIGDx6MUor58+eTnJxMnTp1mD59eqVcLaSs7axatSrx8fG88847pKenYzabueWWWxg+fPg1T5QuD0lJSU6TOwtff/TRR7Rs2dLlzyWUrZ2udi4B+zMSpk2b5rRt+fLlVKlS5aY4n/90mlJKVXQlhBBCCCGEEGUjY+iFEEIIIYRwYRLQCyGEEEII4cIkoBdCCCGEEMKFSUAvhBBCCCGEC5OAXgghhBBCCBcmAb0QQgghhBAuTAJ6IYQQQgghXJgE9EIIIYQQQrgwCeiFEDe1Rx55BE3TKroaAPz9998YDAZWr15tT1u3bh2apjFnzpyKq5ioFObMmYOmaaxbt65M+8tnqWg7d+5Ep9Oxfv36iq6KEOVGAnohXNCRI0cYNmwY9erVw9PTE39/f+rXr8/gwYNZu3atQ97IyEgaNWpU7LEKA96EhIQit+/duxdN09A0jV9++aXY4xTmKfxxd3endu3ajBs3jqSkpLI19CYzbtw42rdvT9euXSu6KjdEXFwckyZNYufOnRVdFXGDpKSkMGnSpDJflJTVlT5rzZo1o0+fPowfPx6l1A2tlxA3iqGiKyCEKJ3ffvuNTp06YTQaGTRoEA0bNiQ7O5uDBw+yatUqzGYzt95663Ur79NPP8VsNuPh4cGsWbPo2LFjsXmbNWvG+PHjAUhKSmLFihVMnTqV1atX8/vvv2Myma5bvVzNli1bWL16NUuXLnVIj42NJTs7G6PRWDEVK0dxcXG8+uqrREZG0qxZs4qujrgBUlJSePXVVwHo3LnzDSv3ap+1sWPH0qlTJ1asWEGPHj1uWL2EuFEkoBfCxbz66qtkZWWxc+dOmjZt6rT97Nmz162s/Px85s2bx7333ouvry8ff/wx7733Hmazucj8VatW5eGHH7a/Hj16NL169eK7775j2bJl3Hvvvdetbq5mxowZBAUFcddddzmk63Q63N3dK6hWQvwzdOzYkcjISD766CMJ6MVNSYbcCOFiDh48SGBgYJHBPEBYWNh1K+vbb7/l/PnzDB48mEceeYTMzEwWLFhQqmPccccdABw6dKjYPB9++CGaprF8+XKnbTabjWrVqjn0uq1atYr777+fmjVr4uHhgZ+fH926dSvxGNnOnTsTGRnplB4XF4emaUyaNMkhXSnFhx9+SExMDJ6ennh7e3Prrbc6DW8qjsViYenSpXTp0sWpJ76occ+Xps2YMYO6devi7u5O48aN+e677wDYtWsX3bt3x8fHh8DAQEaPHk1+fn6R7Txy5Ah33303vr6++Pj40LdvX44cOeKQ12az8Z///IfY2FjCwsIwmUzUqFGDJ554gsTExCLbtWjRIjp37oyfnx+enp7UrVuX0aNHk5eXx5w5c+x3ioYMGWIfilWSXtu4uDgGDhxIaGgobm5u1KpVi+eff56srCyHfJMmTULTNPbv38/zzz9PtWrVcHNzo2nTpqxYseKq5cDFces//fQTkydPJiIiAg8PD1q3bs3WrVsBWL9+PR06dMDLy4vw8HD+/e9/F3mspUuX0r59e7y8vPD29qZ9+/YsW7asyLz/+9//qFevHm5ubkRHRzNt2rRih4Okpqby3HPPER0djZubG8HBwTz44INO57C0Svo+X2keiqZpPPLII0DB5zYqKgoo6HgoPOeF37VLv19ffvklTZo0wd3dnRo1ajBp0iQsFovDsUv6PS3JZ03TNO644w5++OEHMjIySvlOCVH5SQ+9EC6mVq1a7N+/n8WLF3PPPfeUaB+r1VrsGPnc3Nxi9/v000+JioqiY8eOaJpG8+bNmTVrFo8//niJ63vw4EEAgoKCis3zwAMP8NRTTzF37lx69+7tsO2nn37i1KlT9qE8UPAHPCkpiUGDBlGtWjVOnTrFJ598wu23387atWuvOCyoLAYOHMiXX35J//79GTJkCLm5uXz++ed07dqVxYsXO9X5cr///jsZGRm0atWqVOV+8MEHJCcn8/jjj+Pu7s57771H3759+eabbxg6dCgPPvggffr0YdWqVUyfPp2QkBBefPFFh2NkZmbSuXNnWrduzZQpUzh48CAzZsxg69at7Nixw34BmJeXx9tvv02/fv24++678fLyYvv27Xz66ads3LjRacjUCy+8wOuvv06DBg146qmnCA8P5/DhwyxatIjJkycTGxvL888/z+uvv86wYcPs5yQ0NPSKbT527BitWrUiNTWVkSNHUrt2bdatW8eUKVPYtGkTP/30EwaD45+uwYMHYzQaefrpp8nLy2PatGn06dOHAwcOFBkQFmXChAlYrVbGjBlDXl4e77zzDt26dWPu3Lk89thjDBs2jAEDBvD111/z8ssvExUV5XA3asaMGYwaNYp69erx8ssvAwWf0z59+jBz5kyGDRtmzztt2jSeeuopmjZtyuuvv05WVhb//e9/CQkJcapXamoq7dq14/jx4zz66KM0bNiQM2fOMGPGDFq3bs1vv/1GREREidp4re/z1dSvX5+pU6fy1FNP0bdvX/vvJ29vb4d8y5cv58iRI4waNYqwsDCWL1/Oq6++yrFjx5g9e3ap21LSz1rbtm2ZOXMmGzdupHv37qUuR4hKTQkhXMrmzZuV0WhUgKpdu7YaMmSImjFjhtqzZ0+R+SMiIhRw1Z/4+HiH/U6dOqX0er165ZVX7GnTpk1TQJFlAapbt24qPj5excfHqwMHDqh3331XGY1G5evrq86dO3fFdvXv31+5ubmppKQkh/SHH35YGQwGh/0zMjKc9j979qwKDAxUd955p0P64MGD1eW/6jp16qQiIiKcjnH06FEFOLR58eLFClAzZ850yJufn69iYmJUZGSkstlsV2zbrFmzFKCWLVvmtG3t2rUKULNnz3ZKq1KlikpJSbGn//nnnwpQmqapRYsWORynRYsWKiwszKmdgBozZoxDemGbhg8fbk+z2WwqKyvLqX6ffPKJAtSCBQvsab/++qsC1K233qqys7Md8ttsNvv7UVTbruahhx5SgPr+++8d0p9++mkFqE8++cSe9sorryhA9ejRw+EcbNu2TQFqwoQJVy1v9uzZClDNmzdXubm59vRly5YpQBkMBrV9+3Z7em5urgoLC1Nt2rSxpyUlJSkvLy9Vq1YtlZqaak9PTU1VNWvWVN7e3io5OVkppVRycrLy9PRU9evXV5mZmfa8J06cUF5eXgpQa9eutaePHj1aubu7q507dzrUOy4uTpnNZjV48GB7Wmne79K8z0V9hwoBDnUo6jt0+TadTqd+//13e7rNZlN9+vRRgNqyZYs9vTTf05K0/ZdfflGA+u9//1tsHiFclQy5EcLFtG3blt9//53BgweTmprK7NmzGTlyJA0aNCA2NrbI2/CRkZGsXr26yJ9u3boVWc6cOXOw2WwMGjTInjZgwACMRiOzZs0qcp9Vq1YRHBxMcHAwderUYdy4cTRo0IBVq1YV2ft4qcGDB5Obm+swpCcjI4MlS5bQvXt3h/29vLwc8iQmJqLX62ndujW//vrrFcsprfnz52M2m+nTpw8JCQn2n5SUFHr16kVcXJz9LkRx4uPjAQgICChV2Y888gi+vr72102aNMHHx4cqVao43Z3p0KEDZ8+eLXI4wYQJExxe9+3bl7p16zpM0NU0DQ8PD6Dgjk5KSgoJCQncdtttAA7v6+effw7AlClTnMb/Fw53KAubzcby5ctp3ry501yDiRMnotPpWLJkidN+Y8aMcSjzlltuwdvb+6rn5VJPPPGEwx2Iwl7e1q1b07JlS3u6yWSiVatWDsdevXo1mZmZjB49Gh8fH3u6j48Po0ePJiMjgzVr1gAF35GsrCxGjRqFp6enPW+1atUYMGCAQ52UUnz++efExsZStWpVh8+fl5cXbdq0YdWqVSVuY6Gyvs/XS9euXWnRooX9taZpPPvsswDlWm5gYCAA58+fL7cyhKgoMuRGCBfUuHFj+5jrY8eOsX79ej755BN++eUX7r77bqfhEV5eXnTp0qXIY82fP98pTSnFrFmzaNKkCTabzWH8e/v27Zk3bx5TpkxxuiXfunVrXnvtNQDc3NyIiIigRo0aJWpTYdA+d+5cRowYARSM0c7MzHS4qAA4fPgwL7zwAj/++CMpKSkO2673mvN79+4lPT39ikNFzp07R506dYrdXlgnVcol82rWrOmU5u/vT/Xq1YtMB0hMTHQY4uDn51fkvIr69euzdOlSMjMz7RdIX3/9Ne+88w47duxwGo+fnJxs//fBgwfRNK3YeRxlFR8fT0ZGBg0bNnTaFhAQQHh4eJEXrEW9T4GBgcWO/S/K5ccofD8Lx4Rfvu3SYx89ehSgyHoXphXWu/D/9erVc8rboEEDh9fx8fEkJibaL5SLotOVvl+urO/z9VK/fn2ntMK2l2e5hd+/yvJcCiGuJwnohXBxERERDBo0iIEDB9KxY0c2bdrEtm3b6NChQ5mPuX79eg4fPgxA7dq1i8zz3Xff0adPH4e0oKCgYi8crsZgMPDQQw8xbdo0Dh06RHR0NHPnzsXf399hjHpGRgaxsbFkZmYyduxYGjdujNlsRqfTMWXKFH7++eerllXcH/TLJ+VBQRAQHBzMF198UezxrrTOP2APxkq7Hr9ery9VOpT+oqHQ4sWLuf/++2nVqhX/93//R/Xq1XF3d8dqtdK9e3dsNptD/mvpib/eins/SvNelOW9Lm+F9e/SpQvPPfdchdWjNN+Xylxu4fevuIsjIVyZBPRC3CQ0TaN169Zs2rSJU6dOXdOxZs2ahZubG3Pnzi2yB3D48OF8+umnTgH9tRo8eDDTpk1j7ty5DB06lHXr1jFs2DDc3NzseX766SdOnz7NrFmzGDJkiMP+l08ILU5AQAC///67U3pRvYO1a9fmwIEDtGnTxmlyX0kVBvylGQJyvaSkpHD27FmnXvq9e/cSEhJi752fN28e7u7urF271mEoyL59+5yOWadOHVauXMmff/55xYm+pQ34g4ODMZvN7N6922lbcnIyZ86cqZTr2Rf27u/evZvbb7/dYduePXsc8hT+f9++fcXmLRQcHIyfnx9paWllvlAuSmnf58KhYklJSQ7Dxor6vpTknO/du9cp7fL3qbDckn5PS1Ju4Z3Gq12AC+GKZAy9EC5m9erVRfZQZWdn28fTXn7rvjRSU1NZuHAh3bp147777qN///5OP71792blypWcOXOmzOUUpVmzZjRp0oT58+czb948bDYbgwcPdshT2GN6ee/rqlWrSjx+vk6dOqSnp7Nt2zZ7ms1mY+rUqU55Bw0ahM1mY+LEiUUe69y5c1ctr3nz5vj4+NiXQbzR3njjDYfXS5YsYf/+/Q4XZHq9Hk3THHrilVL2IVSXeuihhwB4/vnnycvLc9peeG4KL4BKemdCp9PRq1cvduzYwQ8//ODUBpvNRt++fUt0rBupa9eueHl5MX36dNLT0+3p6enpTJ8+HW9vb/vTgbt27YqHhwcffPCBw/KQJ0+edLoLpNPpGDBgANu2bWPhwoVFll2W8eClfZ8Lh5MVzgMo9M477zgduyTnfPXq1fzxxx/210op3nrrLQCHz2RpvqclKXfr1q0YDAbat29fbB4hXJX00AvhYp566ikSExPp3bs3jRs3xtPTkxMnTvDFF19w4MABBg0aROPGjct8/C+//JLs7Gz69etXbJ5+/foxZ84cPvvsM6cJl9dq8ODBjB8/njfffJM6derQpk0bh+0dOnQgLCyM8ePHExcXR7Vq1di5cyfz5s2jcePG7Nq166plDBs2jHfeeYe+ffsyZswYTCYTCxcuLPJCqXCpyvfff58//viDnj17EhQUxMmTJ9myZQuHDh266rhfvV7PPffcw9KlS8nNzXW441DegoKCWLx4MadPn6Zz5872ZStDQ0Md1tvv378/ixYt4rbbbmPQoEHk5+ezdOlSpzXJAVq1asVzzz3Hm2++SYsWLbj//vsJCwvj6NGjLFy4kG3btuHn50eDBg0wm83MmDEDT09P/Pz8CAkJsU+0Lcrrr7/O6tWr6dOnDyNHjiQ6OpoNGzawYMECYmNjnS7wKgM/Pz/eeustRo0aRevWre3rss+ZM4dDhw4xc+ZM++Rmf39//v3vf/P000/Trl07Bg0aRFZWFh999BG1a9dmx44dDsf+z3/+w6ZNm7jvvvu47777aNOmDSaTiWPHjrFixQpiYmIcnmFQUqV5nx988EGef/55hg0bxr59+wgICOCHH34ocincwMBAoqOj+eqrr6hVqxahoaF4eXnRq1cve56mTZty2223MWrUKMLDw1m2bBlr1qxh4MCBtG3b1p6vNN/Tq33WlFL88MMPdO/evcx32oSo1CpkbR0hRJn9+OOPauTIkapJkyYqMDBQ6fV6FRAQoDp37qw+/fRTZbVaHfJHRESohg0bFnu8wiXpCpetbNmypTIYDE7LR14qJydHmc1mVadOHXsaF5YPvFZnz55VBoNBAeq1114rMs+ff/6p7rjjDuXn56e8vb1Vp06d1IYNG4pcXq+4Jfe+//571bRpU2UymVR4eLh69tln1b59+4pdcm/u3LmqQ4cOymw2Kzc3NxUREaH69u2rvvrqqxK1q3Cpx4ULFzqkX2nZyqKW4IuIiFCdOnVySi9cwvHo0aP2tMJl/w4fPqx69+6tzGaz8vb2Vr1791YHDx50OsbHH3+s6tevr9zc3FRYWJgaOnSoSkxMdFqasNAXX3yh2rVrp7y9vZWnp6eqW7euGjNmjMPyj99//71q3ry5cnNzU0CRdb/ckSNH1MMPP6yCg4OV0WhUUVFRauLEiQ7LPBbX5qu9T5crXLby0qUiCxXX7uI+U4sXL1Zt27ZVnp6eytPTU7Vt21YtWbKkyHI/+ugjVadOHWUymVStWrXU1KlT7cubXl6XzMxMNXnyZNWoUSPl7u6uvL29Vb169dTjjz+utm7das9X2mVCS/o+K6XU1q1bVbt27ZSbm5sKDAxUQ4cOVcnJyUW+R7/++qtq166d8vT0VIB96clLl5v84osvVOPGjZXJZFLVqlVTL730ksrLy3MqtzTf0yt91tatW6cA9d1335XovRHC1WhKlXEGlRBCiFLp3r07mZmZ/PLLLzekvM6dOxMXF0dcXNwNKU+IK4mLiyMqKopXXnnF6WnM5a1v376cOHGC7du3V5rJ3EJcTzKGXgghbpB33nmHLVu2lGntcCFE2ezYsYNly5bxzjvvSDAvbloyhl4IIW6Qhg0blvtSf0IIR82bN3dadlWIm4300AshhBBCCOHCZAy9EEIIIYQQLkx66IUQQgghhHBhEtALIYQQQgjhwiSgF0IIIYQQwoVJQC+EEEIIIYQLk4BeCCGEEEIIFyYBvRBCCCGEEC5MAnohhBBCCCFcmAT0QgghhBBCuLD/B/ci1KQ8roHwAAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 800x270 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "shap.summary_plot(shap_values, fg, plot_type='dot')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## SHAP interaction values"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [],
   "source": [
    "shap_interaction_values = explainer.shap_interaction_values(fg)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1150x660 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "shap.summary_plot(shap_interaction_values, fg)\n",
    "# interaction values uncover indirect effect of temperature"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "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": "3.10.11"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}