tutorial/explainer_and_backend/tuto-expl04-Shapash-compute-Lime-faster.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Compile faster Lime and consistency of contributions \n",
    "\n",
    "You can compute your local contributions with the [Lime](https://github.com/marcotcr/lime) library and summarize them with Shapash.\n",
    "One of the limitations of using Lime is the speed of calculation.\n",
    "In this tutorial, we propose 2 ways to speed up the calculations.\n",
    "Then, we look impacts on the contributions of these accelerated calculations.\n",
    "\n",
    "Contents:\n",
    "- Build a Binary Classifier (Random Forest)\n",
    "- Create Explainer using Lime\n",
    "- Compile Shapash SmartExplainer\n",
    "- Use of multiprocessing\n",
    "- Changing setting of the num_samples option\n",
    "- Comparison of computing times\n",
    "- Consistency of contributions\n",
    "\n",
    "Data from Kaggle [Telco customer churn](https://www.kaggle.com/blastchar/telco-customer-churn)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "from maif_datalab import utils\n",
    "utils.set_proxy()\n",
    "\n",
    "import warnings\n",
    "warnings.filterwarnings(\"ignore\")\n",
    "\n",
    "import plotly\n",
    "plotly.io.renderers.default = 'png'"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "from category_encoders import OrdinalEncoder\n",
    "from sklearn.ensemble import RandomForestClassifier\n",
    "from sklearn.model_selection import train_test_split\n",
    "import lime.lime_tabular\n",
    "\n",
    "from shapash import SmartExplainer\n",
    "from category_encoders import OrdinalEncoder\n",
    "import multiprocessing\n",
    "from collections import namedtuple\n",
    "from shapash.explainer.consistency import Consistency"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Building Supervized Model\n",
    "\n",
    "Let's start by loading a dataset and building a model that we will try to explain right after.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "from shapash.data.data_loader import data_loading"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "CPU times: user 92.9 ms, sys: 13.9 ms, total: 107 ms\n",
      "Wall time: 3.86 s\n"
     ]
    }
   ],
   "source": [
    "%%time\n",
    "df = data_loading('telco_customer_churn')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "df = df.reset_index().drop('customerID', axis=1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "df['Churn'].replace('No', 0,inplace=True)\n",
    "df['Churn'].replace('Yes', 1,inplace=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "y_df = df['Churn']\n",
    "X_df = df.drop('Churn', axis=1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Encoding Categorical Features "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "categorical_features = [col for col in X_df.columns if X_df[col].dtype == 'object']\n",
    "\n",
    "encoder = OrdinalEncoder(\n",
    "    cols=categorical_features,\n",
    "    handle_unknown='ignore',\n",
    "    return_df=True).fit(X_df)\n",
    "\n",
    "X_df=encoder.transform(X_df)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Train / Test Split"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "Xtrain, Xtest, ytrain, ytest = train_test_split(X_df, y_df, train_size=0.75, random_state=1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Model Fitting"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
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      ],
      "text/plain": [
       "RandomForestClassifier(min_samples_leaf=3)"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "rf = RandomForestClassifier(n_estimators=100,min_samples_leaf=3)\n",
    "rf.fit(Xtrain, ytrain)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Compute Lime with Shapash"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "xpl_lime = SmartExplainer(\n",
    "    model=rf,\n",
    "    backend='lime',\n",
    "    data=Xtest[0:100], \n",
    "    preprocessing=encoder,\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "CPU times: user 1min 30s, sys: 9min 1s, total: 10min 31s\n",
      "Wall time: 14 s\n"
     ]
    }
   ],
   "source": [
    "%%time\n",
    "xpl_lime.compile(x=Xtest[0:100])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The calculation times for 100 individuals are long, which is why we propose 2 ways to speed up these computation times.\n",
    "\n",
    "These 2 ways are not yet integrated in Shapash.\n",
    "Fortunately, Shapash allows user to calculate his own contributions and give them as input to Shapash objects to get plots, web app, report.\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Compute Lime with use of multiprocessing\n",
    "\n",
    "Multiprocessing allows users to fully leverage multiple processors on a given machine.\n",
    "Read this documentation if you want to know more [Multiprocessing](https://docs.python.org/3/library/multiprocessing.html)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Function features_check Extract feature names from Lime Output to be used by shapash\n",
    "def features_check(s):\n",
    "    for w in list(Xtest.columns):\n",
    "        if f' {w} ' in f' {s} ' :\n",
    "            feat = w\n",
    "    return feat"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [],
   "source": [
    "#Training Tabular Explainer\n",
    "explainer = lime.lime_tabular.LimeTabularExplainer(Xtest[0:100].values, \n",
    "                                                   mode='classification',\n",
    "                                                   feature_names=Xtest[0:100].columns\n",
    "                                                   )"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "#Definition of functions for multiproccessing\n",
    "#For this example 4 cores are use\n",
    "LogEntry = namedtuple(\"LogEntry\", ['exp', 'index_row'])\n",
    "\n",
    "contribution_list = []\n",
    "\n",
    "def foo_pool(x):\n",
    "    exp = explainer.explain_instance(Xtest[0:100].loc[x].values, rf.predict_proba, num_features=Xtest.shape[1])\n",
    "    index_row = x\n",
    "    return LogEntry(exp=exp, index_row=index_row)   \n",
    "\n",
    "def log_result(result):    \n",
    "    contribution_list.append((result.index_row,dict([[features_check(elem[0]),elem[1]] for elem in result.exp.as_list()])))\n",
    "\n",
    "def apply_async_with_callback():\n",
    "    pool = multiprocessing.Pool(4)\n",
    "    for row in Xtest[0:100].index:\n",
    "        pool.apply_async(foo_pool, args=(row,), callback = log_result)  \n",
    "    pool.close()\n",
    "    pool.join()    \n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Compute Lime contributions with multiprocessing"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "CPU times: user 268 ms, sys: 198 ms, total: 466 ms\n",
      "Wall time: 8.59 s\n"
     ]
    }
   ],
   "source": [
    "%%time\n",
    "contribution_list = []\n",
    "apply_async_with_callback()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "By applying multiprocessing on 4 cores, the calculation time is almost divided by 4"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [],
   "source": [
    "#transformation into a dataframe with the same column and row sorting as lime contribution dataset\n",
    "contribution_multiprocessing = pd.DataFrame(pd.concat([pd.DataFrame(list(pd.DataFrame(contribution_list).iloc[:,0]),columns=['index']),\n",
    "           pd.DataFrame(list(pd.DataFrame(contribution_list).iloc[:,1]))], axis=1).set_index('index'))\n",
    "contribution_multiprocessing = contribution_multiprocessing[pd.DataFrame(xpl_lime.contributions[1]).columns]\n",
    "contribution_multiprocessing = contribution_multiprocessing.reindex(xpl_lime.contributions[1].index)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### validation multiprocessing compute\n",
    "\n",
    "To validate that the results of the contribution calculation with multiprocessing are equivalent to the Lime calculation, we can use the object Consistency.\n",
    "\n",
    "The Consistency metric compares methods between them and evaluates how close the explanations are from each other.\n",
    "\n",
    "To see more details : https://github.com/MAIF/shapash/blob/master/tutorial/explainability_quality/tuto-quality01-Builing-confidence-explainability.ipynb"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [],
   "source": [
    "#creation of the contribution dict for Consistency object\n",
    "contributions = { \"lime\":pd.DataFrame(xpl_lime.contributions[1]).reset_index(drop=True),\n",
    "                  \"Lime_multiprocessing\":contribution_multiprocessing.reset_index(drop=True)}\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "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 300x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "cns = Consistency()\n",
    "cns.compile(contributions=contributions)\n",
    "cns.consistency_plot()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Lime works with a substitution model, which generates randomness.\n",
    "\n",
    "The distance between the contributions by the 2 calculations is small. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Verification that the distance difference is due to the Lime\n",
    "\n",
    "we recompile Lime to compare the differences"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [],
   "source": [
    "xpl_lime2 = SmartExplainer(\n",
    "    model=rf,\n",
    "    backend='lime',\n",
    "    data=Xtest[0:100],\n",
    "    preprocessing=encoder,\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "CPU times: user 1min 33s, sys: 9min 21s, total: 10min 54s\n",
      "Wall time: 14.4 s\n"
     ]
    }
   ],
   "source": [
    "%%time\n",
    "xpl_lime2.compile(x=Xtest[0:100])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [],
   "source": [
    "contributions = { \"lime\":pd.DataFrame(xpl_lime.contributions[1]).reset_index(drop=True),\n",
    "                  \"Lime_multiprocessing\":contribution_multiprocessing.reset_index(drop=True),\n",
    "                  \"lime2\":pd.DataFrame(xpl_lime2.contributions[1]).reset_index(drop=True)}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "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 1500x400 with 5 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "cns = Consistency()\n",
    "cns.compile(contributions=contributions)\n",
    "cns.consistency_plot()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Compute Lime by changing parameter num_samples\n",
    "\n",
    "num_samples is the size of the neighborhood to learn the linear model. By default num_samples is 5000\n",
    "\n",
    "if num_samples is smaller, substitution model will be less accurate, and compute will be faster"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "let's test reducing num_samples to 2000 to see the time saving and the impact on the contributions"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "CPU times: user 50.6 s, sys: 5min 3s, total: 5min 53s\n",
      "Wall time: 7.57 s\n"
     ]
    }
   ],
   "source": [
    "%%time\n",
    "# Compute local Lime Explanation for each row in Test Sample\n",
    "contrib_2000=[]\n",
    "for ind in Xtest[0:100].index:\n",
    "    exp = explainer.explain_instance(Xtest[0:100].loc[ind].values, rf.predict_proba, num_features=Xtest[0:100].shape[1],num_samples=2000)\n",
    "    contrib_2000.append(dict([[features_check(elem[0]),elem[1]] for elem in exp.as_list()]))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [],
   "source": [
    "contribution_df =pd.DataFrame(contrib_2000,index=Xtest[0:100].index)\n",
    "Lime2000 = contribution_df[list(Xtest[0:100].columns)]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [],
   "source": [
    "contributions = { \"Lime5000\":pd.DataFrame(xpl_lime.contributions[1]).reset_index(drop=True),\n",
    "                  \"Lime2000\":Lime2000.reset_index(drop=True)}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "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 300x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "cns = Consistency()\n",
    "cns.compile(contributions=contributions)\n",
    "cns.consistency_plot()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "By changing the num_samples parameter from 5000 to 2000, the impact is quite small on the contributions and the time saving is close to 2.5"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "let's test reducing num_samples to 1000"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "CPU times: user 34.8 s, sys: 3min 30s, total: 4min 4s\n",
      "Wall time: 5.24 s\n"
     ]
    }
   ],
   "source": [
    "%%time\n",
    "# Compute local Lime Explanation for each row in Test Sample\n",
    "contrib_1000=[]\n",
    "for ind in Xtest[0:100].index:\n",
    "    exp = explainer.explain_instance(Xtest[0:100].loc[ind].values, rf.predict_proba, num_features=Xtest[0:100].shape[1],num_samples=1000)\n",
    "    contrib_1000.append(dict([[features_check(elem[0]),elem[1]] for elem in exp.as_list()]))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [],
   "source": [
    "contribution_df =pd.DataFrame(contrib_1000,index=Xtest[0:100].index)\n",
    "Lime1000 = contribution_df[list(Xtest[0:100].columns)]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [],
   "source": [
    "contributions = { \"Lime5000\":pd.DataFrame(xpl_lime.contributions[1]).reset_index(drop=True),\n",
    "                  \"Lime2000\":Lime2000.reset_index(drop=True),\n",
    "                  \"Lime1000\":Lime1000.reset_index(drop=True)}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "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 1500x400 with 5 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "cns = Consistency()\n",
    "cns.compile(contributions=contributions)\n",
    "cns.consistency_plot()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Choice of the num_samples parameter may be a compromise between quality of explicability and computation time"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Comparison of the stability of explicabilities\n",
    "\n",
    "To increase confidence in the explanation, measuring their stability is important.\n",
    "\n",
    "We define stability as follows: if instances are very similar, then one would expect the explanations to be similar as well. Therefore, locally stable explanations are an important factor that help build trust around a particular explanation.\n",
    "\n",
    "The similarity between instances is evaluated under two criteria: (1) the instances must be close in the feature space and (2) have similar model outputs."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "xpl_lime.plot.stability_plot()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [],
   "source": [
    "xpl_lime2000 = SmartExplainer(\n",
    "    model=rf,\n",
    "    preprocessing=encoder\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "CPU times: user 12 ms, sys: 2.36 ms, total: 14.4 ms\n",
      "Wall time: 14.4 ms\n"
     ]
    }
   ],
   "source": [
    "%%time\n",
    "xpl_lime2000.compile(\n",
    "    contributions=Lime2000,\n",
    "    x=Xtest[0:100] \n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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czBHe8BhuLj6M7mKUFxkh8LBGcRaTRJokH1pBXJSYX4vRFwhZ+M033idO3dyYINOQ8ngl0gi5mzRNjvCGTgdx6t+mTRvBfC43xdnHzbbYJtL0lGj7Yv4WRBejtOgPob/+MUKGNwCQakxDQVtCuJ0bN27smCfppXgV3kT6ix/WqEsi/UJbeEPZ4s0Hfng5PwifeOKJnL9OVX+P9bCNdL3Hkx6/Muymvji28zoXH1Vx0r45I/+RRn7j9eVE+iNiJyK8mveB0EV0eBuEEe9oxe+9Pl7bJ3Kd+b3/Jnp9u+l30fp0on0nkTojExKmrH311VdmEMYpGLTAvR2xOfIb7+pP7O8pvInxM3vntvB6HfHR+pWbqPAirZezKAvzlDECjqkTeM3nXPgOW03h9TPq6DDDqBTqrVmcBx8WRUXKAIEfKpiDDcnCDw8IF6Z3YCoGpmpgdMhL8Sq8ifQXP6wT7RfJFF5wxhxLLOpERhLk7nVKvAdxovXy+0YnnvQkW3jxdgo/2rGYFEKOH3ZOXSAgmKfvpSTSHxMVXq37AFbr460crmm8tcEP2vA3aaFMktH2Wv0x1nMg0oBDoseNd53F6u+J9p1EhNdpTyxyxrQ3vDVatGiR+Qftj+l3sT4r7+Ua4baRCVB4FXpGbguv13ldzjQHt3N4MRUCUyKc4uaix7aYA4wRMfBxFsmF4nZe2SPDg/PqPrw5sIgDDwdN4fUzrxQjxLgZIW8ipp5o/hJ38r8ihdrs2bMjpsLCqACmNOAVML7AhlfFSGGDUXqvxavwJtJf/LBOtF8kW3gxwoo516HThFLZ371e78kS3njXd2i/xJQkPNjRh7FIC/PS0Y8xT9prvulE+mOiwqtxH4DwIBvPr7/+mpORB/N5Y01r8LteI1bbJ3qduXkORBLeRI/rpt9Fuwck2nf81jnWPRryi+sBBW/0Ev10vNfnQZC2p/AqtHZuCy9GCLAgBGm1QgsyPGBkBa9PQqVz3bp15gMJKNGyNGCRFOaJRpoj6uaiR2yMPEPUIh0Df4/XO5jXFyltGP7+yy+/zFnopym8oZkDMB0AN8d4BftgBBppy7QzJ2zatEnwuhe/8jEnGlIQqeCjGs7iNaSlwrxnN3liw2N5Fd5E+osf1on2i2QKL6b44G3Eb7/9dsSITKr6u9frPVnCG6++of3OmbqFrC8QXoyMY2QXI7xeSyL9MVHh1bgP4PrGh3Zwv8aX3vCmxsmKE23hWmiWBi/3+lhtn+h15uY5EEl4Ez2um34X7R6QaN/xW+dYfRzPZywqxyAG8r5H+siU12uE20cmQOFV6Bm5LbyoAia+40Z6zjnnmBphwQ8yN+DLZZgmgJGJ0AwQeEWORN7Iw4ubA4QLWQsgyRhtmDt3rokT6etDbi567IsRURwXX1nCq21kSQgdGXXmrmJbzHmFUCJtG0Y+cG74Ne58TENTeHE8fMIXi2VQMEqKdDH4Ze3k4UX9sYAuNA8vksIjOTwKFuLggY1pCMisgG3BGoKPfTGy6aVg8ZwznQE5GpH66tRTTzW8wAOZKsADKbnwZ3gViq/0gTHa0EvxKryInUh/8co60X7hV3hxXHwABtfQv/71L6lQoYIZ0Uf7Ir8yrilMP9mwYYPBjZGqunXr5qBPVX/3c737nbYQa7949Q3tk+ivmKeK6wRz0PGQh7iFp1J0248T6Y+JzOHF+SVyH0CObaQiwxcdcT1jQAEFWVdwX8X1jWs/PB9raP5Xr/f6aG2Y6HXm5jkQSXgTPa6bfher3ybSd/zWGXPX8UMVYos2x70F1wHSpOGeg+cd/h9vjkIXsTEtmds7grvtKLzuOMXcKreFFyNOmMsJWQsvmC8HgQ3/tCdWTSOVFz6PGa1EG8l0c9EjJvJsQlTDsxg4C/Tw0MMxkKA+UsFoEGQd8yW1hRcf/sCKazz8opVIX1rDIiVIT6yCG1esL9hF2hfngx8FGLWNViC6eJ0HIca/kRPYy8I7J67TX910fUw1wZSTRPqLV9aJ9gu/wuss+IrHBe2A5PH4kRRaUtXf/VzvyRDeePUN5xiadQQr1J0fnPF4R/r7RPpjosKL+5mf+wB4Yf4p5D98ITDqGOvjE849V7PtE73O3DwHIglvosd10+9i9fdE+o7fOuNZi1SHsQrWBmAKX2ih8Pq5O0Tfh8KrwDO3hReLBvB6DLkdMU8Or10xWou0Ypg7F/7NdqfKuPFClPHrEh9NQHos7IeHEV6t16lTJyIdNxe9syOmJeAXLC5czF3DwyI0IwWkDdMaMJcPI5l4vYeRYEzgx8UPKcWvXm3hdc4PDxl8BQcLKTDKggVzOD7yHeNDHRjhCy/4MhRSlIE1XnGiTtgOH5rA6CDSnTkjN167F2LigYwfIs5oLs4HX9DDQjUslELBPGInw0SkPL2xjutHeBHPb3/xwzqRfuFXeCHmmC+OkVzwx1QTjEjiusB8U8zZhfxjPvpxxx0XEXGq+rvX6z0ZwgsA8eobCgmj5HgzghJJ+LxeK377Y6LC65ynl/sA7n24p6JP4b4S7dPr+IGJHwbh83lD77mabZ/IdebmORBJeMEvkeO66Xfx7gF++47fOiMnPN7S4Z81a9aYt4E4B0xNw/MWUw9r1659xCVA4fV6V4i9PYVXl2dKo7m5+FJ6QjwYCZAACUQhgJyzvXr1Mj+q3X7whTD/IcB7PXsCCSROgMKbOMNci8CbYK6h54FJgAQ8EsDHWDAiHO3LiB7DBWpz3usD1dysbJIIUHiTBDYVYXkTTAVlHoMESCARAkilh2kEWJiJBZZIw+dMzUkkbpD25b0+SK3NuiaLAIU3WWRTEJc3wRRA5iFIgAR8EcD8Z3yoJbREykDgK3jAduK9PmANzuomhQCFNylYUxOUN8HUcOZRSIAEvBNwhBfpmJBqCakPu3btqvrRFu9nlZ578F6fnu3Gs7aLAIXXrvbg2ZAACZAACZAACZAACSgToPAqA2U4EiABEiABEiABEiABuwhQeO1qD54NCZAACZAACZAACZCAMgEKrzJQhiMBEiABEiABEiABErCLAIXXrvbg2ZAACZAACZAACZAACSgToPAqA2U4EiABEiABEiABEiABuwhQeO1qD54NCZAACZAACZAACZCAMgEKrzJQhiMBEiABEiABEiABErCLAIXXrvbg2ZAACZAACZAACZAACSgToPAqA2U4EiABEiABEiABEiABuwhQeO1qD54NCZAACZAACZAACZCAMgEKrzJQhiMBEiABEiABEiABErCLAIXXrvbg2ZAACZAACZAACZAACSgToPAqA2U4EiABEiABEiABEiABuwhQeO1qD2vPZtKkSfLoo4/KlClTpFq1aoed55YtW6Rly5Zy8803y4033mhlHZ5//nl56aWX5Msvv1Q5v/B42vFVTjJDgtjO1tbzmzZtmrzwwguyadMmKVy4sMydOzdXe0RucxozZozMmDFDZs+enasc3B7cLy+39XS7ndvzTcV2q1atkhdffFGWLl0qu3fvlpo1a0q/fv3k9NNPT8XheYw0J0DhTfMGTNXpU3gPJ03hTVXPE/H74Nc+w6efflomT558hDjacn6h9d2xY4e0aNHCyEDHjh0lf/782jg8x8ttTukmeH55ua2n2+08N3QSd7jrrrukSZMmcv7558u+fftkyJAhRn7ffvttKVeuXBKPzNCZQIDCmwmtmII6pLvwJhuR34dTss8rE+Lbwjaa8NrIeMmSJdK1a1d5/fXXzSiYDSW32zEdBc9Pu7mtp9vt/JxDqvZZsGCB9OzZU0aOHCkXXXRRqg7L46QpAQpvmjZcqk/bj/DiZjRu3DhZsWKFGWH617/+JbfcckvOlIhly5ZJp06dzAhenTp1TJUmTpwoI0aMkH//+9/Su3dv82fr16+Xdu3ayeOPPy4NGjSIWPXNmzfLE088Id9884355V+9enUTu1mzZmb78Ietc7PH8R588EGz39FHHy333HOPOZfPP//cxPvll1/kjDPOMCMJFSpUyDl2vBHeqVOnykMPPWS2z5Mnj1SsWNHUH3WqVKlSThznPN544w0ZOnSoLFy4UFq3bi0YyYhUtOLi1eAzzzwjixcvlr///ltOPvlk6du3rznHeCXevvv375drr71WihUrZqaROKOLX331lZn2grpdeeWV4tT9P//5jzzwwAMCSStdurRcc801Zn+nhLP2yuDNN9807Td//nwpUaKEXH/99XL11VfnxHcTDw9UtFFoOeqoo2TmzJkRR6Dj9X3Eceof7/zi9e3w9rrvvvvk/fffP+yPUd/+/fubP/Nybm77JeKiXzz77LOmTx04cMC8Zu7Tp4+ccsopEa9Bt+fipv7x+mQo71j97dNPPzWcIv1Q6NWrl3mN/tprr0W8RNy2p8Mq3vUX6QfCrFmzDONff/1VatSoIQMHDpTHHntMChUqZO6PXvqV2+vPbTsNGjRI1q5dewSfbt26metu9OjRh51fpL7lpq1D4YMhpu28+uqrcuqpp8a7dfHvA06AwhvwDuC2+l6FFw9VyB3EBvN6IUHDhg0z8osbHaTv0KFD5lc55KZ79+7mVG6//XaBGOFmPmHCBPNnmDf8yCOPyJw5c4xERSo33HCDmaeIm2758uVlzZo15iaIeHjVFUl4p0+fLueee6555XvcccfJk08+aeb3Ya7yBx98YEYO/vrrL/PQPuGEE2TUqFFRJSzW6FVWVpasW7fOjEL89ttv5oHgSCAeOjgPiCakBJLg9vWz37grV640bdKoUSPBQxwPI7QvHhxg7ghKJM5u90U7QyzRthDpnTt3Gs6nnXaaeUA7D2bUvXbt2ma7E0880fBHWw8YMEDat28fVZScc3PD4JxzzpHLL79cTjrpJNOX8EMGIo4fMuElVjy3Uxrc9P3Q+sc7v3h9O1I74QfcTTfdJJA7/Jhxitdzc9svly9fbkaUcT3husePw++//14+/PBDuffeeyO2o9tziVd/t33SudZi9Te0/6WXXiqNGzc+7Ecn5kHjhygEE30pUnHix2tPt+cbfk/Bj+EePXqYeyWuJdxLcM/aunWruceFCi+uq3jn4YaHI7vx7uXYzovwRrvnxWvrUO4fffSRuU/gGXPnnXe6fZRxuwAToPAGuPG9VN0R3lj7hC5aw43rzz//NCO2Tvn999/Nw+Syyy7LeZjceuut8scff8j48eONAONBg7/HfhDcokWLmocMRjRefvnliIfHQ6p+/fqCkS3sG6lEEl6IJ0YIsC8Kzg/zw4499lh56623pECBAubPMW8TEozzKV68eMSHt5vXtZBeSNwrr7xixM+RHpwHZPrCCy/00iQ523qNi4cXRlLQpqFyDWEpWbJkzkhMpJPxsi9GyTCqA8b48YFROBwTo7ix6o4RdywuxEMR55coWwgu5vw5BeICGcBofrQSialb4XXb9yEcaPtY5+emb0eqQzTh9XpubvslRAx9CtdNtB9s4e3o5lzc1N9tn3R4h9cpvL857YzRVIycouBNFdoKAh/tR7eb9kQst+cbzgvXZ3Z2tvlh6hS8gWrbtq3p36HCG69febn+3LQT4nkR3kj3PDdt7dT7hx9+kC5dukjTpk3NGzq8RWMhgXgEKLzxCPHvDQEvI7wYFcUNGKOIzrQEByNGFLdt2yZ4jYuCESg88LGC/Oeff5brrrtO8KCBuEIyEQc3tTZt2pjX4dEKRl0OHjxoRiwxyoRRy9ASSXhxbLzmzpcvX86mEG4I8MMPP5zzZ19//bWJCwnHKCFKvCkNmCaAmzpWhUMEMMLtFMR2plo4D0mMahcsWDBub0s0Ll41Y1oIpg1gQVNoGTt2rGmXTz75JOJ5eN0XD2eM7mJkCvsi/tlnn50T26k72sD5cYG/dF4rv/POO1KlSpUjWHthgDYG21AJwzmhr0BsUNzGcyO8Xvo+6u/m/OL17UiNFUl4vZ4b+q+bfgl+6FO4dsE2Wgm9ZrycS6z6e+mTbvubM5oLkUL2GfwQd34kDQY/xtMAACAASURBVB48OGr93LSnl/MN5YVrCfc1TA+A6IUW8MGP9FDhddOv3PDASL3be7lX4Y3Ut9z2dTwLMAiC51LovSPuDZQbBJoAhTfQze++8l6Ed/v27XLJJZeY6QQQq9CCBwYEElKLglG/q666KmeuLwQRUx5wQ4NctmrVyryygmxgVC5awdwx3MAhT5CZWrVqmSkCOI9Iguq8zsNrsdCCEWiMtN5xxx05f/zdd98JRjlC5xrHE97hw4eb0SA8NPEKFaNCEH2snMd8UjxIUXAe7733npE8NyXRuFi978h2tOMtWrQo4l/52RdzXDGSiikq4XNgUXdIbXi6rP/+97/moY5R/7p16x4hvF4YYJQ4vI3D3xi4jedGeL30/Wh9MPz84vVtt8Lr9dzc9kunX0S63kPPLfSa8XIuservpU+67W84Z9x/IKeYL+vMPccbJtxXohU37enlfEN5OW+fcC05U32c88C1gjdP4VMa4vV7NzyqVq3q+l4eTXjD3xzFuue57et4LmBgItYPEDf3U24TLAIU3mC1t+/aehHeWKM3GPHFnDNnhBcjFxdffLG5if/4449mQdttt91mpi9gPidubLhBQoowRzdewTQKLH5CmhqMVGK+aMOGDaMuWgvPyQnhxbxiZ4EPjudHeDE14oorrjBz7pzy7bffmlHvcOH1khs00bhoG4zGYaTImTcdj6nz9173hdTgxwwW7GFOb7gQuRlhijTCmyiDcKF0G8+N8Hrp+9FWyUebwhOtb7sVXo1zi3Qs7RHe8HuEc8xI9ccbA7f92W1/w/GctwzvvvuueQOFhbOh07MicXDTnl6uoURGeCPdU8L7lRsesUZ4w9sJb67wNgf33tCCKRfHH3/8EYvWYuVDjtfXmzdvbu7rsaYlub2vcbvgEKDwBqetE6qpF+HFgTAiipt76Kjerl27zMgmXg9isYFTMJqKj1dgoRkWtuFGhgwOnTt3NiN8GLHFzd9LwWvI8847zyycwuKzaFkakiG8kHg8hDHygmwTTsEUDXD0K7xacSHhe/bsMXOJQ6dzuOHrdl+cK0bJME0FogD++JGDubzOtBDngYt5vlhA5xTw+eKLLyLO4dVgEPrg9xIPCe9Rj3nz5h2GKtLcVDd9340gRWqT8L7tVni9XJfRzi1aH/E7h9cNp/BjhtffbZ90299wPGfx2gUXXGDewODHGt40xSpu29Pt+Uaaw4vjh94LN27caKZ7hc/h9SK88a4/t/dy3E8w1/njjz+WIkWKGFQbNmwwgxm4p4dnaXDzARA3fd3NfYvbkAAIUHjZD1wR8Cq8mFqA7AYY4cMNE3NYMQKAldsQIKQAcwoWheG1ct68ec3ICl7PORkc9u7da0YjQ0dKw08Yc2Sxsh9TGLAiHXO6kGUBx8MN+Kyzzkqp8OL8MEKMleu4yVeuXNmcD+ZV4mHgV3i14mKVOEQcDyGM8qItwBAih39jhD1acbsvxBavWPFKGD9a8HoYPz6c+bIYrYcgIH0WMgE4WRrwGhbthlXXzmr48Ad/omzDR7rcxnNG/dCnUCf0V0dAQr/i57bvuxEkN33bi/Amem7R+kVolgb80EHKNiwswrQe57VzeDu6ORc39XfbJ932N6eOTsor9FXUw1mwGo2Bm/bEvm7PN1qWBmTfgHxjmsNTTz1lrtnwLA1uhdfN9eemnVAvDFpg7QWuWwwy4LwwLQlzojFSHE943bS1wx4/kHH/clI/unqIcaPAE6DwBr4LuAPgVXgRFTdKCI+ThxeSgEUteL0VWjCy26FDBzM/LjQTAzI4fPbZZyZGvXr1Yp4o8ubiHDEyjNEZHAMjxFiEFklKoj2ctKY0IGUQRnQhkRAjzJvFiG+kObxepjRoxcVcOXBFaijkLYaUOwuPICuxSrx9nZRk4B+6aBH7QWzB+O67787JQ4vFUZjrjKkopUqVMvO+kUPZKeEP/kQZhAuv23j4EYYfKxBfjJDHysPrpu+7FaR4fduL8Lq9Lr2O8DoiB0lEO6IgxR7aP1YeXjec3NQ/Xp/E+Th1itffHJ5YFIW3Ufjn/vvvj3ujdNueCOTmfKPl4cUPLicPL64jDBYgFSPyl4fWM3wENdKUBtx73PBw0044Nn7QYwoI5Bf3c8zrRX7xSHl4I43wumlrHIfCG7c7coMIBCi87BYkQAK5QsCPVOXKifKggSTg5L1FbmrIu40Fb87wIxoDBrGy2Nh47jwnEkg1AQpvqonzeCRAAjFHooiHBHKbAKYL4KuQTh7o3D4fHB/Tu5BDGG9AsJgTo7yY0oCsN3i7hdRkLCRAAtEJUHjZO0iABHKFAEd4cwU7DxqHANYLYFoGpmJgjqhNIjlt2jQjt5gGBhnHyDPm9No6As3ORgI2EaDw2tQaPBcSIAESIAESIAESIAF1AhRedaQMSAIkQAIkQAIkQAIkYBMBCq9NrcFzIQESIAESIAESIAESUCdA4VVHyoAkQAIkQAIkQAIkQAI2EaDw2tQaPBcSIAESIAESIAESIAF1AhRedaQMSAIkQAIkQAIkQAIkYBMBCq9NrcFzIQESIAESIAESIAESUCdA4VVHyoAkQAIkQAIkQAIkQAI2EaDw2tQaPBcSIAESIAESIAESIAF1AhRedaQMSAIkQAIkQAIkQAIkYBMBCq9NrcFzIQESIAESIAESIAESUCdA4VVHyoAkQAIkQAIkQAIkQAI2EaDw2tQaPBcSIAESIAESIAESIAF1AhRedaQMSAIkQAIkQAIkQAIkYBMBCq9NrcFzIQESIAESIAESIAESUCdA4VVHyoAkQAIkQAIkQAIkQAI2EaDwprg1/v3vf8v9998vxx13XIqPnJmH+/vvv+XAgQNSrFixzKxgLtTq999/l5IlS0revHlz4eiZd8i//vpLDh48KEWLFs28yuVSjX777TcpU6ZMLh098w77559/SnZ2thQpUiTzKscakcD/CFB4U9wVKLy6wCm8ujwRjcKry5TCq8sT0Si8ukwpvLo8Gc1OAhTeFLcLhVcXOIVXlyeFV58nhVefKYVXlymFV5cno9lJgMKb4nah8OoCp/Dq8qTw6vOk8OozpfDqMqXw6vJkNDsJUHhT3C4UXl3gFF5dnhRefZ4UXn2mFF5dphReXZ6MZicBCm+K24XCqwucwqvLk8Krz5PCq8+UwqvLlMKry5PR7CRA4U1xu1B4dYFTeHV5Unj1eVJ49ZlSeHWZUnh1eTKanQQovCluFwqvLnAKry5PCq8+TwqvPlMKry5TCq8uT0azkwCFN8XtQuHVBU7h1eVJ4dXnSeHVZ0rh1WVK4dXlyWh2EqDwprhdKLy6wCm8ujwpvPo8Kbz6TCm8ukwpvLo8Myna+vXr5ZZbbpG33347YrUeffRRqV69ulxxxRXWV5vCm+ImovDqAqfw6vKk8OrzpPDqM6Xw6jKl8OryzO1oy5cvl/Hjx8vq1aslX758UrVqVenSpYucccYZsnHjRunRo4dMmzbN1WlSeF1h4kaRCFB4dfsFhVeXJ4VXnyeFV58phVeXKYVXl2ei0RJ5rmHfq666Sq688kpp3bq1HDp0SJYtWybFihWTWrVqUXgTbRzu754Ahdc9KzdbJnJjcBM/iNvw08K6rU7h1eWJaBReXaYUXl2efqOtWLFCPvzwQ5kzZ47cf//9cuaZZ3oOhRFZjOZOnz5dChYseMT+3bp1k7Vr10qFChXM3w0fPlwOHjwojz32mKxZs0YKFCggDRo0kF69epn/dkZ4r776apk8ebLkz5/fCHWbNm3M/uFTGlauXCnPPPNMzjF69uwpderU8VyPZOzAKQ3JoBojJoVXFziFV5cnR3j1eVJ49ZlSeHWZBkF4127eJeu27DLgqlYsJdUqlTL/new/j9dSO3fulI8//lhmzpwpuFdcfPHF0qxZM6lcuXK8XSP+PZ6JnTt3NqO5zZs3l5NPPllKlCiRs22kKQ0Q4F27dslpp51m/j1o0CBp0qSJdOjQwQhv165dpVWrVgJ53bBhg/Tv318efPBBc4xQ4cVgCRynX79+0rBhQ/n++++NuL/wwgtSpkwZX/XR3InCq0nTRSwKrwtIHjah8HqA5XJTjvC6BOVyMwqvS1AeNqPweoDlYtMgCO/cb9fLZ0vXGxoXnHmcNDrjOPPfyf7zaPi3b98ujz/+uHz33Xdy3nnnySWXXGLm2ObJk8dFi8XeZMuWLTJp0iRZtGiRbN68WerWrWsWnmFU180cXowyz5s3Tx544AEjvBgxxqI1R5zHjh0rBw4ckL59+x4mvNgGxxw6dGjOCSLGOeecY+qX24XCm+IWoPDqAqfw6vJENAqvLlMKry5PRKPw6jINgvCakdyt/xvhrRA2wpvEP4/WUr/88osMHDjQTDto2bKlNG7cOOIoKLIf4J6MMnLkSCOgTzzxhPl/CPKoUaNidoYdO3bIiBEjzDaPPPJIROHFKPOzzz4rWOyWlZUleK5WqVJFxowZY47Xu3fvwxa5QWyXLl1qhDh0hBciPGvWLCldunTOOaFvtW/f3oosDhRe3ftG3GgU3riIPG1A4fWEy9XGFF5XmFxvROF1jcr1hhRe16hcbRgE4XUFIsUbZWdnmxFeTGfAiCqmFDRt2tSM+Eaaf+v39ObOnStPP/20mYO7adMm6d69+2EC+/DDD0vx4sXNnxcqVEhmz55t5gBjXq8zwjt16lSzDcq4ceOMFIeP8E6ZMsUskBs8eLDfU03qfhTepOI9MjiFVxc4hTcGz81rRQ4eENm1VeSYGiJ58oqULBe3ASi8cRF52oDC6wmXq40pvK4wud6IwusaVdI23L9/v3z22Wdm0drPP/9sFpNh/q3XgikMGGW98MILpVKlSrJt2zYjrkWLFjUjsvv27ZO2bdvKG2+8IeXK/fM8wJxdTHto166doC9g5Bky7ggv5vAi4wPSmWFk+vbbbzdzczHCHDrCi9FkSHOfPn3MwjfEwKgxzsNZJOe1PprbU3g1abqIReF1AcnDJhTeCLB+2ySycrHIlBEiB/76/w1ObyTStq9I2diLISi8Hjqgi00pvC4gedyEwusRWJzNKby6PBONhlFYjPA6Quol3u7du80ILKYcYKoC5t1CZm+66aacqQZYRDZjxgyTnQHTIzAfF9MeihQpYtKXnXTSSbJkyZIc4cX8XydLA/L6duzY0cgxSniWhlWrVpnpET/99JPkzZvXSDtGgiG9uV0ovCluAQqvLnAKbxjPA/tFFn8iMvGhyKCPqynSZWTMkV4Kr24fpfDq8kQ0Cq8uUwqvLk9Gs5MAhTfF7ULh1QVO4Q3juWWtyKPXihw6FB10i24izf4d9e8pvLp9lMKry5PCq8+TwqvPlBHtI0DhTXGbUHh1gVN4w3iu+VbkiZtiQ657iUjHgSIFCkXcjsKr20cpvLo8Kbz6PCm8+kwZ0T4CFN4UtwmFVxc4hTeM5zcfiLz+YGzIJ9YVuXGYSNGSFF7d7hgxGoVXHzKnNOgypfDq8mQ0OwlQeFPcLhReXeAU3jCe2zaIDLsyNuQLrhRpd2vUbTjCq9tHKby6PDnCq8+TwqvPlBHtI0DhTXGbBFl4Qz/rqIU9bYT392UiWXtFSp4sUvCfT1ompfy2WWTCPSLrl0UPf/tLIsfWpPAmpQGODErh1QfNEV5dphReXZ6MZicBCm+K2yXIwjvk1S8M7cGdGqhRTxvh/byzyPaFIg0miBxVX63+EQNtWy8ytq/Ib1uO/OtOD4jUaiBSsCiFN7mtkBOdwqsPmsKry5TCq8uT0ewkQOFNcbtQeCm8SRde9Ond20U+eU1kx68ie38XqXyCyNmtRI4+XqRgkZi9nlMadG8KFF5dnohG4dVlSuHV5clodhKg8Ka4XYIsvK/M+s7Q7tzsdDXqaTPC++0wkV0rRE4fIFL6VLX6xw20b88/X1srUTbups4GFF7XqFxtSOF1hcnTRhReT7jibkzhjYuIG2QAAQpvihsxyMKbDNRpI7zJqHySYlJ4dcFSeHV5coRXnyeFV58pI4qsX79e8JW2t99+OyIOfEb5888/l4ceivKhJGWIFF5loPHCUXjjEfL29xReb7zcbE3hdUPJ/TYUXves3G7JEV63pNxtR+F1xyldtmrdurU8/PDDUqtWrZxTfvPNN2XhwoXmU8B+y8aNG6VHjx4ybdo0VyEovK4wZe5GQRZeZmlIQZYGhUuHwqsAMSQEhVeXJ0d49XlSePWZakT0ey+m8EamzxFejV7pIUaQhZdZGlKUpcFDf4y0qd+bbIKHzdjdKbz6TcsRXl2mFF5dnlrRMCo7depUadasmfmncuXKrkLHE15n5LVDhw5mSsHevXulffv20q5dOxN/7dq1MmbMGFm3bp3kzZtXzj//fLn99tulW7du5u8qVKhgths+fLgcPHhQHnvsMVmzZo0UKFBAGjRoIL169TL/7Rzn6quvlsmTJ0v+/PnlqquukjZt2pj9w6c0rFy5Up555pmcY/Ts2VPq1Knjqs5uNqLwuqGkuA2Fl1kaUpKlIYE+S+FNAF6EXSm8ujw5wqvPMxDCu+3rf1JDopQ/6//TQyb7zxNsrhUrVsisWbNkzpw5Uq1aNbnkkkvkggsukCJFomfbcSO8Xbp0ke7du8sVV1wh27dvF/z/c889Z2R20KBBcuaZZ5q/O3DggPz0009Ss2ZNiTSlAQK8a9cuOe2008y/sW+TJk0EMg3h7dq1q7Rq1Uogrxs2bJD+/fvLgw8+aKZbhAovnjvwo379+knDhg3l+++/l/vvv19eeOEFKVOmTIIU/9mdwquC0X2QIAsvszTkQpYG910zZ0sKrw9oMXah8OrypPDq8wyE8K54SmT50//AO6W3SM2b//nvZP+5UnNBPL/66isjv5BBZ9QVI7DhxY3wQnanT58u+fLlM7tDNDESe8455xjRLF26tFxzzTU5o7nYxs0cXkjsvHnz5IEHHjDCC5HGorUSJUqY44wdO9ZIdN++fQ8TXmyzaNEiGTp0aE51EAPnA8nXKBReDYoeYgRZeD1gcr0pF625RuV6Qwqva1SuNqTwusLkaSNOafCEK+7GgRBejOTu+N8Ib7mwEd5k/nkU+hg9xb0WZeTIkWYh2Ny5c83/d+rUSTp37nzEnr/88ovMnj1bZs6cKeXKlZMnn3wyR1hDN27btq2R1tq1a+f88RtvvCHffvutWcwWaTHZnXfeKS1atJCLLrpItm7dKhMmTJD58+dL2bJljfg2btw4ovDu3LlTnn32WVm+fLlkZWUJnslVqlQxUyJwnN69ex+2yA1iu3TpUiPEoSO8EGHIPETbKeiXmGoBVhqFwqtB0UMMCq8HWC42pfC6gORxEwqvR2BxNqfw6vJENAqvLtNACK8uspRF27Nnj3z66adGdLds2WKmC2DEE9MbohWM3kIUmzdvnrPJqFGjjBwjTVg84XV2OnTokCxevNhMU5g4caLs37/fTIMIzdIAgS5evLj580KFCpnzxMgx5vU6I7yYh4xtUMaNG2ekOHyEd8qUKbJs2TIZPHhw0thSeJOGNnLgIAsvszQwS0OKLzcrDkfh1W8GCq8uUwqvLk+taBgBfeqpp6RevXpm0drZZ58dcUQ3/HgYzf3oo4/knnvuMQvdMAUCI6pDhgwxo77xhPezzz6TM844w4y2Yv7uzTffLFhAh+kTGD1GfIwwo0CG69ataxa8oR8NHDhQsrOzc4QXc3gxxQLpzDBCjcVvGH1G/NAR3h07dhhp7tOnj1n4hhgYNa5UqdJh0yoSYUvhTYSej32DLLzM0sAsDT4umbTfhcKr34QUXl2mFF5dnlrRIKaQzpIlS3oKiakFr7/+upFeTDmA9F555ZXStGlTEyee8D7xxBMmewPm2mLBGKZXYKoDChaRzZgxw2RnwHbYZsSIEWYRXbFixeSkk06SJUuW5AgvRpSdLA0YYe7YsWNONojwLA2rVq0y0yMg2ZDrk08+2YwEQ3o1CoVXg6KHGBReZmlglgYPF0wGbErh1W9ECq8uUwqvLk9Gs5MAhTfF7RJk4WWWBmZpSPHlZsXhKLz6zUDh1WVK4dXlyWh2EqDwprhdgiy8yUDNRWv6VLloTZcphVeXJ6JReHWZUnh1eTKanQQovCluFwqvLnAKry5PRKPw6jKl8OrypPDq86Tw6jNlRPsIUHhT3CZBFl5maWCWhhRfblYcjsKr3wwc4dVlSuHV5clodhKg8Ka4XYIsvMzSwCwNKb7crDgchVe/GSi8ukwpvLo8Gc1OAhTeFLcLhZdZGpilIcUXXS4fjsKr3wAUXl2mFF5dnoxmJwEKb4rbJcjCyywNzNKQ4svNisNRePWbgcKry5TCq8uT0ewkQOFNcbsEWXiTgZqL1vSpctGaLlMKry5PRKPw6jKl8OryZDQ7CVB4U9wuFF5d4BReXZ6IRuHVZUrh1eVJ4dXnSeHVZ8qI9hGg8Ka4TYIsvMzSwCwNKb7crDgchVe/GTjCq8uUwqvLk9HsJEDhTXG7BFl4maWBWRpSfLlZcTgKr34zUHh1mVJ4dXkymp0EKLwpbhcKL7M0MEtDii+6XD4chVe/ASi8ukwpvLo8Gc1OAoEU3n379sno0aNl/vz5Urx4cbn22muldevWEVvonXfekQ8++EA2btwopUqVkksvvVSuueYa360ZZOFllgZmafB94aTxjhRe/caj8OoypfDq8mQ0OwkEUnghu7/++qsMGjRINmzYIHfffbcMGzZMTj/99CNa6YUXXpDatWvL8ccfL+vXr5cHHnhAevbsKU2bNvXVokEWXl/A4uzERWv6VLloTZcphVeXJ6JReHWZUnh1eTKanQQCJ7xZWVnSrl07GTp0qJxxxhmmVUaNGmX+ffvtt8dtpTFjxki+fPmkb9++cbeNtAGF1xe2qDtReHV5IhqFV5cphVeXJ4VXnyeFV58pI9pHIHDCi6kJN9xwg2CqQrFixUyL4L8/+eQTeeKJJ2K2UHZ2ttx0001m+oMzBeLQoUOeWrVr165y7733ynHHHedpv0zYeP3W3aYax1UoqVadAwcOCP4pWrSoWsxkBMqza7lI1l7JLlFDpGCpZBxCLebu3bvNVJ+8efOqxQxyIPwoO3jwoBQpUiTIGFTrvmvXLjPFjEWHAH6U4flWuHBhnYBJjML7UhLhZnjowAnv6tWrzZSEWbNmSZ48eUzzzp49WyZNmiTPP/98zObG9IZvvvnGiHGBAgXMtrjxein9+vWTO+64Q4499lgvu2XEto+9s9TU45a2Z6rVBzdpFKct1QIrByq6qIfk+22x7K87VrLK1FWOrhsOP+L4UNFjmi59VK/GyY/EPqrLOJ36KH/o6LZ9kKIFTnj9jvBOnDjRSDLm/5YuXdp3HwnylAamJWNaMt8XThrvyCkN+o3HOby6TDmlQZcno9lJIHDCizm8bdu2lUceeURq1aplWgUSi1+40ebwvvXWW/Lee+8J5u+WK1cuoZYMsvAySwOzNCR08aTpzhRe/Yaj8OoypfDq8mQ0OwkETnjRDFiktnXrVpOl4ZdffpEBAwbIQw89ZLI04M+nTp0q3bp1M691Mb8Xo7sjR46UChUqmFbEn+fPn99XiwZZeH0Bi7MTF63pU+WiNV2mFF5dnohG4dVlSuHV5clodhIIpPCG5uHFwrXrrrsuZxHa8uXLTQaGmTNnmmwMyNELCQ4t5513nklP5qdQeP1Qi74PhVeXJ6JReHWZUnh1eVJ49XlSePWZMqJ9BAIpvLnZDEEW3nVb/lngV7Wi3urqtBHe35eZLA1S8mTrszRQeHXvEBReXZ4UXn2eFF59poxoHwEKb4rbJMjCy0VrXLSW4svNisNRePWbgVMadJlSeHV5MpqdBCi8KW4XCq/I4E4N1KinzQjv551FtlN41Ro+jQJRePUbi8Kry5TCq8uT0ewkQOFNcbsEWXiZpYFZGlJ8uVlxOAqvfjNQeHWZUnh1eTKanQQovClulyALbzJQp80IbzIqn6SYnMOrC5bCq8sT0Si8ukwpvLo8Gc1OAhTeFLcLhVcXOIVXlyeiUXh1mVJ4dXlSePV5Unj1mTKifQQovClukyALL7M0MEtDii83Kw5H4dVvBo7w6jKl8OryZDQ7CVB4U9wuQRZeZmngorUUX25WHI7Cq98MFF5dphReXZ6MZicBCm+K24XCyywNclT9FPc6b4fjlAZvvOJtTeGNR8j731N4vTOLtQeFV5cno9lJgMKb4nYJsvAySwOzNKT4crPicBRe/Wag8OoypfDq8mQ0OwlQeFPcLkEW3mSg5qI1faoc4dVlSuHV5YloFF5dphReXZ6MZicBCm+K24XCqwucwqvLE9EovLpMKby6PCm8+jwpvPpMGdE+AhTeFLdJkIWXWRqYpSHFl5sVh6Pw6jcDR3h1mVJ4dXkymp0EKLwpbpcgCy+zNDBLQ4ovNysOR+HVbwYKry5TCq8uT0azkwCFN8XtQuFllgZmaUjxRZfLh6Pw6jcAhVeXKYVXlyej2UmAwpvidgmy8DJLA7M0pPhys+JwFF79ZqDw6jKl8OryZDQ7CVB4U9wuQRbeZKDmojV9qly0psuUwqvLE9EovLpMKby6PBnNTgIU3hS3C4VXFziFV5cnolF4dZlSeHV5Unj1eVJ49Zkyon0EKLwpbpMgCy+zNDBLQ4ovNysOR+HVbwaO8OoypfDq8mQ0OwlQeFPcLkEWXmZpYJaGFF9uVhyOwqvfDBReXaYUXl2ejGYnAQpvituFwsssDczSkOKLLpcPR+HVbwAKry5TCq8uT0azkwCFN8XtEmThZZYGZmlI8eVmxeEovPrNQOHVZUrh1eXJaHYSoPCmuF2CLLzJQM1Fa/pUuWhNlymFV5cnolF4dZlSeHV5MpqdBCi8KW4XCq8ucAqvLk9Eo/DqMqXw6vKk8OrzpPDqM2VE+whQeFPcJkEWXmZpYJaGFF9uVhyOwqvfDBzh1WVK4dXlyWh2EqDwprhdgiy8zNLALA0p33Mr2gAAIABJREFUvtysOByFV78ZKLy6TCm8ujwZzU4CFN4UtwuFl1kamKUhxRddLh+OwqvfABReXaYUXl2ejGYnAQpvitslyMLLLA3M0pDiy82Kw1F49ZuBwqvLlMKry5PR7CRA4U1xuwRZeJOBmovW9Kly0ZouUwqvLk9Eo/DqMqXw6vJkNDsJUHhT3C4UXl3gFF5dnohG4dVlSuHV5Unh1edJ4dVnyoj2EbBaeDdv3izz58+XlStXyp49e6REiRJSo0YNOffcc6VixYr20XRxRkEWXmZpYJYGF5dIxm1C4dVvUo7w6jKl8OryZDQ7CVgpvBDcZ555RpYuXSq1atWSatWqSfHixWXv3r2yZs0a+eGHH6R27drSq1cvOemkk+wkG+Wsgiy8zNLALA1pdbEqnSyFVwlkSBgKry5TCq8uT0azk4CVwnvDDTdI586dpWHDhlKgQIEjyB04cEC++OILefnll2XChAl2kqXwHkGAwkvhTauLVelkKbxKICm8+iD/F5HCmzS0DGwRASuF1yI+6qcS5BFeZmlglgb1CyoNAlJ49RuJI7y6TCm8ujwZzU4C1gsvLsQlS5aYebv47+eee878u1u3blK6dGk7qcY4qyALbzIai4vW9Kly0ZouUwqvLk9Eo/DqMqXw6vJkNDsJWC+8Q4cOlVNOOUXat29vZBfze7Ozsw3NkSNH2kmVwpuydqHw6qOm8OoypfDq8qTw6vOk8OozZUT7CFgvvBdeeKG8//77ZtHajTfeKE8//bRkZWVJ69atZe7cufYRjXNGQR7hZZYGZmlIuwtW4YQpvAoQw0JwhFeXKYVXlyej2UnAeuG9+OKL5aWXXpIiRYrIgAED5Pnnn5dt27bJddddJx9++KGdVDnCG5EAF61x0VraXbAKJ0zhVYBI4dWHGBKRwptUvAxuCQHrhRcjuu+9957J1tCjRw9p1aqVyczwxx9/SO/evS3B6P40gjzCS+Gl8Lq/UjJnSwqvfltyhFeXKYVXlyej2UnAeuEFtuXLl0v+/Plzcu5iKkP9+vWlcOHCdlLlCG9EAszSwCwNaXfBKpwwhVcBIkd49SFyhDepTBncPgJpIbz2YfN/RkEe4fVPLfqeXLSmT5WL1nSZUnh1eSIaR3h1mXKEV5cno9lJwHrhhdDMmDFDfvrpJ5OOLLTcc889dlLlCG/K2oXCq4+awqvLlMKry5PCq8+TwqvPlBHtI2C98A4cOFBWrVolF110kRQqVOgwgl27drWPaJwzCvIIL7M0MEtD2l2wCidM4VWAGBaCI7y6TCm8ujwZzU4C1gtvgwYNZOrUqXLUUUfZSdDjWQVZeLlojYvWPF4uGbE5hVe/GSm8ukwpvLo8Gc1OAtYLb4cOHUzu3YoVK9pJ0ONZUXhFBndq4JFa9M3TZkrD551FtlN41Ro+jQJRePUbi8Kry5TCq8uT0ewkYL3wvvLKK/Lll19G/JTwiSeeaCfVGGcVZOFllgZmaUi7C1bhhCm8ChA5pUEfYkhECm9S8TK4JQSsF96mTZtGRTV79mxLMLo/jSALr3tK7rdMmxFe91XK9S25aE23CSi8ujwRjSO8ukwpvLo8Gc1OAtYLr53Y/J8Vhdc/u0h7Unh1eSIahVeXKYVXlyeFV58nhVefKSPaRyAthBcfnpg5c6Zs3bpVKlSoIC1atJCaNWvaR9PFGQVZeJmlgVkaXFwiGbcJhVe/STnCq8uUwqvLk9HsJGC98EJ0hwwZIs2aNZNjjjlGNm7cKLNmzZL77rvP/Fm6lSALL7M0cNFaul2vGudL4dWgeHgMCq8uUwqvLk9Gs5OA9cLbvn17ueOOO+Tcc8/NIThv3jwZNWqUTJkyxU6qMc6KwsssDXJUfav7Lac06DYPhVeXJ6c06POk8OozZUT7CFgvvMjDi1He4sWL59Dbu3evmdbw+eefRyWK7A7vvPOOHDx4UJo0aSK9e/eWfPnyRdx+5MiR8u2338qmTZvk7rvvNh+5cMqbb74p48ePP2y/cePGyQknnOCrNYMsvMzSwCwNvi6aNN+JwqvfgBzh1WVK4dXlyWh2ErBeeHv06CGnnHKKEdb8+fNLVlaWycu7YsUKGTt2bESqH3/8sTz77LMyfPhwKVasWI7EXnvttRG3hxhXr15dxowZI9dff/0RwovPGt922205+xYoUEDy5Mnjq0WDLLy+gMXZiYvW9KlyhFeXKYVXlydHePV5Unj1mTKifQSsF95169YZ2dy+fbv5+MSWLVukfPny8thjj0mVKlUiEr3rrrukVq1a0qlTJ/P3H330kWDEF//EKvhUMaQ4fIR3zZo1cuedd6q0HoVXBWNOEAqvLk9Eo/DqMqXw6vKk8OrzpPDqM2VE+whYL7xAhmkJGNHdtm2b+cQwMjREm56A7a+66irp27evnHfeeYY4hLV79+4yffp0KViwYNRWiCa8EydOFIzqlitXTpo3by6tW7f23ZJBFl5maWCWBt8XThrvSOHVbzxOadBlSuHV5clodhJQE94ffvhBnn/+eVm6dKns2rVLFi1aZGo8evRo6dy5sxmV9VKWLVsmp556quDf0Qr+PlJp06aNPPjgg3LmmWeav0Y6M4zcvvXWW1KqVClPwvvjjz8KHliQ3VWrVskTTzwhXbp0kUsvvdTE2b9/v5dqSa9evWTgwIFRR6c9BUuzjUe8+Y054zuuqKd25vgxhH9i/ZBRO1gCgQp+3VXy7lwkf589Xg6VOyuBSMnfFQ+/QoUK+Z62k/wzTK8jYBpWdna2+dHMokMAfbRw4cI6wRjFTBVMlz5apEgRthgJ+CKgIrwLFy6Um2++WU4//XSpW7euEV9HeF9//XUzHaFfv36eThBCiRFZRywj7Yy/j1Q0R3jD40+ePFkWLFggWOiGghuvl9KzZ08zpzjadAwvsdJt20cnLzSnfOeVesIH2T106JD1MlFgfhcjvAfqP0fhTbeOm+D5pksfTbCaKd0dAw0UHz3kEF4UrJOxvfCHju0tZO/5qQjvDTfcYKYPYNoACqTXEd61a9dKnz59ZNq0aSmjgDm8Z5xxhhnVRcEitpdfftnXHN7wk3777bdNdggscPNTgjylgVkamKXBzzWT7vtwSoN+C3JKgy5TTmnQ5clodhJQEd5zzjlHPvzww5zpAqHCiwupUaNG8vXXX/siMGnSJOnYseMR+0b7c2yIRWoYZR4xYoQULVrUTCHAOTgCPGPGDDMX+Kyz/hlpPHDggHmdg9FXjA5jW/zSzZs3r3z66adSo0YNKV26tKxcudJkfrj88svliiuu8FWfIAuvL2BxduKiNX2qXLSmy5TCq8sT0Si8ukwpvLo8Gc1OAirCC0H8z3/+Y76EFj7C+/PPP5uRX0ionxIqz87+kNN69erljCJHiosR3XfffTdiHl4IMCT2xhtvNLvecsstgjnIoWXYsGFGiB9//HH54osvBLl/IcmXXHKJXH311UaG/RQKrx9q0feh8OryRDQKry5TCq8uTwqvPk8Krz5TRrSPgIrw3nrrrebDEPfff7/JnuBIKuauDRo0yCx+gUB6Kc5iNaQWe/XVVw/bdfXq1SYH7wcffOAlpBXbBll4maWBWRqsuAhTfBIUXn3gHOHVZUrh1eXJaHYSUBFeZC/APN5KlSrJBRdcYObK3nTTTTJ37lzZsGGDEdaqVat6IoD0XyhOKjJnZ4ysli1bViCOjRs39hTTho2DLLxDXv3CNMHgTg3UmiJtRng/7yyyfaFIgwnCTwurNX9aBKLw6jcThVeXKYVXlyej2UlARXhRNcxvxev/b775xqQ4gZhipPf222+Xk046yXft77jjDjMXN1MKhZfCS+HNlKvZXT0ovO44edmKwuuFVvxtKbzxGXGL9CegJrwOCiwA2717t5nigFyeLIcTCLLwMksDszQE8X5A4dVvdQqvLlMKry5PRrOTgLrwalfz6aefjhqyd+/e2odLerwgC28y4KbNlIZkVD5JMbloTRcshVeXJ6JReHWZUnh1eTKanQRUhHf58uXmK2aDBw8+opb44hlSeJ1yyim+CDgfeHB2xsP4k08+kSZNmsiQIUN8xczNnSi8uvQpvLo8EY3Cq8uUwqvLk8Krz5PCq8+UEe0joCK8+FwuFq2dffbZR9QQ+XexaO2pp55Sq/1XX30lU6ZMyfnamVrgFAQKsvAySwOzNKTgErPuEBRe/SbhCK8uUwqvLk9Gs5OAivA2bNhQZs6cKcWKFTuiln/88Ye0bNnSZGzQKvisJPLhfvbZZ1ohUxYnyMLLLA3M0pCyC82iA1F49RuDwqvLlMKry5PR7CSgIrwXXnihTJgwQapVq3ZELdesWWNGf/0K7/bt2w+LiVfY+KAEpjW8+eabdlKNcVYUXmZpYJaGtLtsEzphCm9C+CLuTOHVZUrh1eXJaHYSUBFepB7DxyUeeeQR80lepyA92YABA8zXzsaMGeOLgPP5X2fnggULmjRnSFd22mmn+YqZmzsFWXiZpYFZGnLz2sutY1N49clTeHWZUnh1eTKanQRUhNf58AQ+vYuPQZQvX14wMotRWHw4AqO/ieTitROdv7MKsvD6IxZ7Ly5a06fKRWu6TCm8ujwRjcKry5TCq8uT0ewkoCK8qBoyNeDDE4sWLZJDhw6ZTwz/61//kn79+vnO0GAnssTOisKbGL/wvSm8ujwRjcKry5TCq8uTwqvPk8Krz5QR7SOgJrxO1SAge/bskRIlSgimHyRaEA8jxLNmzcr5zDA+O3z99ddLgQIFEg2f8v2DLLzM0sAsDSm/4Cw4IIVXvxE4wqvLlMKry5PR7CSgLrza1USu3RUrVkjXrl2lcuXK8uuvv8r48eOlVq1acs8992gfLunxgiy8zNLALA1Jv8AsPACFV79RKLy6TCm8ujwZzU4CasL77bffyrRp04yQ7t2794javvzyy74INGrUSCZOnChHH310zv44xjXXXCNz5szxFTM3d6LwMksDszTk5hWY+mNTePWZU3h1mVJ4dXkymp0EVIT3jTfeMB+BOOaYY0xqskj5eB9++GFfBNq3b28+WoHRXads3LhR+vbtaz4+kW4lyMLLLA3M0pBu16vG+VJ4NSgeHoPCq8uUwqvLk9HsJKAivPgIxHXXXSedOnVSqeXq1atz4uDjEh9//LF06dLFjPJu2rRJnnvuOWnWrJnceOONKsdLZZAgC28yOHPRmj5VLlrTZUrh1eWJaBReXaYUXl2ejGYnARXhPf/88+XDDz+U4sWLq9SyadOmruLMnj3b1XY2bUTh1W0NCq8uT0Sj8OoypfDq8qTw6vOk8OozZUT7CKgILz48gRHeOnXq2FdDy84oyMLLLA3M0mDZ5ZiS06Hw6mPmCK8uUwqvLk9Gs5OAivBiRAhzeFu0aCH169c/7Gtrfqu9bNkyOfXUUwX/jlbw9+lWgiy8zNLALA3pdr1qnC+FV4Pi4TEovLpMKby6PBnNTgIqwospCNnZ2WZeVd68eaVUqVLmU8Ohxev0g0svvVSmT58u+He0gr9Pt0LhZZYGZmlIt6s2sfOl8CbGL9LeFF5dphReXZ6MZicBFeEdM2ZM3NrdeuutcbcJwgZBFl5maWCWhiBc4+F1pPDqtzqFV5cphVeXJ6PZSUBFeJNZtcaNG8snn3ySzEOkNHaQhTcZoLloTZ8qF63pMqXw6vJENAqvLlMKry5PRrOTgPXC26FDB5OHt1KlSnYS9HhWFF6PwOJsTuHV5YloFF5dphReXZ4UXn2eFF59poxoHwE14c3KypIff/xR8FEI/Hd4admypa/a4wttc+fONZ8WPuqoow6bG3ziiSf6ipmbOwVZeJmlgVkacvPay61jU3j1yXOEV5cphVeXJ6PZSUBFeDdv3iy33HKLrFq1KmotFy1a5ItArJy8XhfC+ToB5Z2CLLzM0sAsDcqXU1qES3vh/XOvSGGdHOtaDUbh1SL5TxwKry5PRrOTgIrwDh48WHbu3Cl33nmn4FPAH3zwgfkiGj5GsX37dunfv79UqFDBTgIpPisKL7M0MEtDii+6XD5cWgrvvt9Evp8l8vuvIn/8JlKuqkjNC0XKHiOSv3AuE+UcXu0GoPBqE2U8GwmoCC+mKzz99NNSvXp1qVu3roSO5r733nsml+6AAQN81X/SpEnSsWPHI/aN9ue+DpLCnYIsvMzSwCwNKbzUrDlU2gnv75tEZo0W2RLhjd0lt4tUqydSsEiu8uUIry5+Cq8uT0azk4CK8NarV0/mz59vPjgR/plhXEgQYr+ZFsIFGhiR8xfH9DtNIjebIsjCmwzuXLSmT5WL1nSZppXwYjR3zrMiP8+PDqHjaJEKx+tC8hiNwusRWJzNKby6PBnNTgIqwhsqpciqgJy7EF+U5cuXS8+ePWXOnDmeCDhfWOvUqZO8+uqrh+27evVqGTt2rJk6kW6FwqvbYhReXZ6IRuHVZZpewrtD5MUusQHUukTkop66kDxGo/B6BEbh1QXGaGlJQF14X3zxRXnttdfkyiuvlIIFC8pbb70ltWvXlmHDhnkC1Lx5c7P9tm3bTHYGp+BLbmXLlhWII3L0plsJsvAySwOzNKTb9apxvmklvGu/EZn2UOxqVzpZ5NKBIkVLa+DxFYPC6wtb1J04wqvLk9HsJKAivFOnTpV27dqZGmLEDV9emzVrlln5ed5558k999wjpUv7uznecccdMmLECDvp+TirIAsvszQwS4OPSybtd0kr4d22RmRinK9iVj9bpGk/kULFcq1tKLy66Cm8ujwZzU4CKsIbrWqYa5snTx47a55LZ0XhZZYGZmnIpYsvlw6bVsK78xeRSbeLZP0VnVbt1iIN40x7SDJrCq8uYAqvLk9Gs5OAivBi+sHMmTOj1jDe38dCgxHjGTNmyE8//WRGjEMLRo7TrQRZeJmlgVka0u161TjftBLeA3+KrP5S5KMnI1e9eHmRK0eIFCujgcZ3DAqvb3QRd6Tw6vJkNDsJqAhvpEwKTnUPHTokZ511lu+MCgMHDjQftLjoooukUKFCh1HE19fSrQRZeJPRVly0pk+Vi9Z0maaV8KLqe7aKrFss8ul4ETn0/zAqnCDSpK9I+aq6gHxEo/D6gBZjFwqvLk9Gs5NA0oV34cKF5oMUn376qS8CDRo0EMwRDl245iuQJTtReHUbgsKryxPRKLy6TNNOeFF9jPTu3S6yf7fI7i0iFU8WyV9ApMT/LyDWpeQtGoXXG694W1N44xHi32cCgYSEt1GjRobB3r17pXjxIz89eeDAAcHNvk2bNnLvvff64oU0Z/ioRcWKFX3tb9tOQRZeZmlglgbbrsdUnE9aCm8qwCRwDApvAvAi7Erh1eXJaHYSSEh4IaIoSEUGkQsvRYoUMV9fgxgjnZif8sorr8iXX34p3bp1OyLTw4knnugnZK7uE2ThZZYGZmnI1Ysvlw5O4dUHT+HVZUrh1eXJaHYSSEh4nSqNHDlS+vfvn5QaNm3aNGrc2bNnJ+WYyQxK4WWWBmZpSOYVZl9sCq9+m1B4dZlSeHV5MpqdBFSEd/jw4XLXXXfZWUPLzirIwsssDSnK0pD1t8jff4j8tUekUAmRot5W1HMOr+5Ng8KryxPRKLy6TCm8ujwZzU4CKsKLzwjPnTtX8ufPn5Ra4vPESHu2detWqVChgrRo0UJq1qyZlGMlO2iQhTcZbLloLYzqnm0iC14R+W2DyJ7NImWOEzn6NJFal4oUK++qCSi8rjC53ojC6xqV6w0pvK5RudqQwusKEzdKcwIqwnvLLbfI9ddfL3Xq1FHHAdEdMmSINGvWTI455hjZuHGj+YrbfffdZ/4s3QqFV7fFKLwhPP/YIfJ2f5H9vx0Jufr5Iuf9W6RYubgNQOGNi8jTBhReT7hcbUzhdYXJ9UYUXteouGEaE1AR3u3bt8ujjz4qLVu2NJ8SLliwoBqS9u3bCz4vfO655+bEnDdvnowaNUqmTJmidpxUBQqy8DJLQxKzNGD6wqzhIpu+j96Va18ucnanuF2dwhsXkacNKLyecLnamMLrCpPrjSi8rlFxwzQmoCK8WFiGD0zgQYlSsmTJI6Y3+F1ghjy8GOUNTXuGNGiY1vD555+nHfogCy+zNCQxS8Perf+M7v65O/o1gakNF98pUqRUzOuGwqt7W6Hw6vJENAqvLlMKry5PRrOTgIrwjhkzJm7tbr311rjbRNqgR48ecsopp0jv3r2NRGdlZZm8vCtWrJCxY8f6ipmbO1F4maUhKVkatq0WmRonU0rhUiJtHxUpGTunNYVX9w5B4dXlSeHV50nh1WfKiPYRUBHeZFZr3bp1cttttwmmTeDjE1u2bJHy5cvLY489JlWqVEnmoZMSO8jCyywNSczSsHebyJv9RA7si95vK5wscvEdIsVjL16j8Ope+hReXZ4UXn2eFF59poxoHwHrhRfIDh48aEZ0t23bZj4xjAwN+fLls4+mizMKsvC6wON5Ey5a+x8yLFT74CGR7T9FZ3hyE5FGfeIypvDGReRpAwqvJ1yuNuaUBleYXG9E4XWNihumMQE14d20aZO8/PLLsmjRItm1a5eUKlVK6tWrZ7I3VKpUKY0R6Z46hVeXJ4U3hCdGef/TLTLgo04UaTaQWRp0u5+raBReV5g8bUTh9YQr7sYU3riIuEEGEFAR3p9//lluvPFGM7+2du3aUrZsWdm5c6f897//NRkbXnrpJalWrZovXFiYtmDBArn99ttz9keGhrPPPlsaNmzoK2Zu7hRk4WWWhiRmaXA69d4dIrMfEdmzVeTPXf9MX8BUhrOuFSlV2VXX5wivK0yuN6LwukblekMKr2tUrjak8LrCxI3SnICK8CIP74EDB2TYsGFmZNcpGOm9++67pUCBAmbOrZ/Spk0beeaZZ0wOXqf88ssv0qdPH5k6daqfkLm6T5CFl1kakpilIbRX7/tNJPvQP8JbsLhIgSIihUu47vcUXteoXG1I4XWFydNGFF5PuOJuTOGNi4gbZAABFeHFSOsbb7whxx577BFIIKfXXHONfPbZZ75wNWnSRCZPnizlyv1/wvwdO3ZIhw4d5NNPP/UVMzd3ovAyS0NSsjQodmoKryJMEaHw6vJENAqvLlMKry5PRrOTgIrw4qMQ77///mFS6lQXctq6dWvBxyL8lLvuukuKFi0qAwcONNMjMGfz4Ycflj/++MN87CLdSpCFl1kakpilQfFCoPAqwqTw6sL8XzQKry5WCq8uT0azk4CK8GL+7qmnnmq+iBZeMN/2hx9+kBdffNEXAWRmQA7f9evX56Qlw3zg0aNHm/Rkfsq+ffvM/vPnzzcftLj22muNlEcqixcvltdee01WrVpljof5yImUIAtvItyi7ctFa/pUKby6TDnCq8uTI7z6PCm8+kwZ0T4CKsILccSc2hNOOMEsJCtTpox55fTFF1/I6tWrzYcisMjMb8FX3FauXGly8CIX78knnyx58uTxG87I7q+//iqDBg2SDRs2mHnGmH98+umnHxFz+fLlggwUWIQ3ffp0Cq9v6snZkcKrz5XCq8uUwqvLk8Krz5PCq8+UEe0joCK8qBakd9y4cfL9999Ldna2EdJatWpJr169EpJdbWTIJNGuXTsZOnSonHHGGSY8RqFRQjNBhB8Xc5AxussRXv8twiwNKcjS4L95cvZMqfD+uV0kb36RgqUVztzOEBRe/XbhlAZdphReXZ6MZicBNeF1qoeb+549e6REiRJSqFAh62q9ceNGueGGG+Sdd96RYsWKmfPDf3/yySfyxBNPRD1fCm/iTcksDSnK0pBgUyVdeA/uF9n5o8jamSK714gULClS/FiRk68RKXpUgmdv3+4UXv02ofDqMqXw6vJkNDsJqAovRk/x+n/r1q1SoUIFOfrooyV//vxW1RxTLHr27CmzZs3KmRYxe/ZsmTRpkjz//POehRdy4KUghVv//v0jZrTwEicdt3383W/Nafdr88/IulZx3ihoxUtGnGKLe0q+3xbLvn89I1ll6ibjEGoxk8kzf54sKbz9a5HFo4883/xFJfuC0bIvfwXzliiTSjKZZhInt3UhT7ek3G3nXG+JTBV0d6TEtypdOnPfBiVOhxFiEVAT3ilTpsj48eNl+/btOcfDIq+bbrpJ2rdvb00raI/wen0wd+nSRe677z457rjjrGGSqhNJVpYG/NBCJg+ry7fDRHalR5YG5M/GG5q8efOqI82zc7lkz70letzilUUajhAp7G9BqvoJKwTEPHN8Hr1IkSIK0RgCBDDQQPHR6wt4C4FnWeHChfWCJilSOkh5kqrOsAkSUBHeV199VZ566ilp1aqVNGjQIGfRGr6ShnRl/fr1M5kQ/BbE+eijj8yiNcwTRl7eZs2a+brhQY7atm0rjzzyiJljjIJFbLjYOYfXbwvl3n5ctKbPPqlTGpa9KLJiYuyTvnicSMnj9SuWSxE5pUEfPKc06DLllAZdnoxmJwEV4W3RooUZyYVIhpe3335bXnjhBZPhwE95/fXX5c033zQfrxg+fLgsWrRI3n33Xfnuu+9MlgU/BYvUMO0C++PDGAMGDJCHHnrIZGnAn+MLbt26dTMjXMgQAUlGxolXXnnFjGLjFya+HuenMC2ZH2rR96Hw6vJEtKQJ79+7Rb4eIrJtaeyTrnOLSPWW+hXLpYgUXn3wFF5dphReXZ6MZicBFeE977zzzJxY5LQNL1jA1rx5c/nyyy99EWjZsqX5tDBy79atW9cILx7Il112me+vt4Xm4cXCteuuuy4nDy/SkPXt21dmzpwp+fLlE+ThxccvQkvNmjXlySef9FWfIAsvszQwS4MsGi2ybmbsa+eCUSLlj0wR6OuCs2AnCq9+I1B4dZlSeHV5MpqdBFSEt3fv3mZEtHbt2kfUcsmSJWaEF1Me/JQLL7xQpk2bZuYUOsKLr7ddffXVRrLTrQRZeJmlgVkaZM37IkuiZ0MRySNy8XMiJTNnjjuFV/8uTeHVZUrh1eXJaHbZWXhTAAAgAElEQVQSUBFezK0dOXKkmcOL0V687j9w4IAZ1cUcXoyQHnWUv3RD+HobPjaBr63Vr19fFi5caI61e/duGTJkiJ1UY5wVhVdkcKcGau2WNlMaPu8ssp3CK3/+LrJ4pMjmBZH7QN07RY5pIJLf/sUzbjsxhdctKffbUXjds3KzJYXXDSVuk+4EVIS3adOmZq6rk6ILUxv27t1r2OCra+GrKpEGzG1B1gek8VqzZo2JicwPlStXNgvNEDvdSpCFN1lZGvDjysmpbG1/SKMsDUmbw+s0zh+bRJa/JvLrFyJZ+//5U+TiPbOXSNmaIsUqW9uMfk6MwuuHWux9KLy6TCm8ujwZzU4CKsI7ZswYT7XDaK2XggwKq1atMjl+K1WqJDVq1Ejo08Jejq29bZCFV5sl4qXNCG8yKp+kmEkXXtNwe0QO/inyx2aRwuVEJFuk+DFJqlHuhqXw6vOn8OoypfDq8mQ0OwmoCK+dVbPzrCi8uu1C4dXliWgpEV7907Y2IoVXv2kovLpMKby6PBnNTgLWC2+0z/1injDm9jZs2ND3/ODcaJIgCy+zNDBLQ25cc7l9TAqvfgtQeHWZUnh1eTKanQRUhRdzbDHtwJm/G1rlOnXq+CIwePBg+fDDD81iOHyqGPHnzZsnjRs3NgvXli5dKo899picddZZvuKneqcgCy+zNGTworV9v4js/Vmyt34pUvQYkeLVJE+Z00UKpN88e+17AoVXm6gIhVeXKYVXlyej2UlARXg3b95sPgqBL6JF+9Qu8uf6KX369JEOHTpIo0aNcnafM2eO4FPGyIX73nvvyRtvvGH+SYdC4WWWBjmqvtVd1euUhuydS0SWDhLJ+mehak45qoHkqdFdpGhVq+ub7JOj8OoTpvDqMqXw6vJkNDsJqAhv9+7dzRfK8DW0qlWrStGiRY+oLb5i5qdccMEFMmPGjMM+aoERZHyQ4rPPPjOjyfjSG2Q7HUqQhZdZGlaInD5ApPSpVndVT8L713bJ/uIakUN/RaxTnmNaidToIZK/hNV1TubJUXj16VJ4dZlSeHV5MpqdBFSE95xzzjGf/61SpYp6LfEVNEhvly5dzJfPDh48aD5kAcF99dVX5ZtvvjH/P3bsWPVjJyNgkIU3GTy5aE2fqhfhzV79vMiaV2OeRJ4Gk0SKVNI/0TSJSOHVbygKry5TCq8uT0azk4CK8GLKAT7/W6FCBfVarly5UvDxCYzkIj5GkpHnd9SoUXLiiSeaqQ34IMWxxx6rfuxkBKTw6lKl8OryRDTXwpu1R7K/GyayfV5s4a0zXKT8OfonmiYRKbz6DUXh1WVK4dXlyWh2ElARXoy2fvLJJ3L33Xebr6xpl6ysLFm+fLngIxT4Ytspp5xiRnvTsQRZeJmlIcOyNBz6W+S7ByV7a5zpRP8aKXnKpcei0mTcUyi8+lQpvLpMKby6PBnNTgIqwouqLViwQIYOHSqnnnqqlC1b9ogPQ+BraX4LpjFs2LDBCC/+2ykY2U23EmThZZaGDMzSsPo5yV7zWuzL8LzXJU+x9HgDk4z7CYVXnyqFV5cphVeXJ6PZSUBFeDGPFkK7Z88eKVWqlBQpUuSI2k6fPt0XAYzsDhgwwGR/2LhxY05qsuOPP97MG063QuFlloaMytLw5xbJ/qqrSNbuyJficR0kz0ndRfIWSrdLVe18KbxqKHMCUXh1mVJ4dXkymp0EVIT38ssvl7p160qvXr2kdOnSqjXt1KmTtG3bVpxjIL3ZhAkTZMuWLXLXXXepHisVwYIsvMzSkIFZGvBR4F0/iHx7n8if2w6/hKq0lzxV2okUOy4Vl5a1x6Dw6jcNhVeXKYVXlyej2UlARXjPP/98mTlzppQooZ96CNMWkH6sUKFCZnEa/htzeiHAOGa6lSALbzLaiovW9Km6XrQWeug/t4j8sU6yd3wjeYpVFylSQaRkjUCnI3PwUHj1+yiFV5cphVeXJ6PZSUBFePv16yfdunWTWrVqqdcSI8fORyvatGkjw4YNk2LFisn1118vc+fOVT9esgNSeHUJU3h1eSKaL+HVP42MiUjh1W9KCq8uUwqvLk9Gs5OAivBiMdnjjz8urVq1knr16qlmUEAe3tde+2dRzMSJE02+XWRogPxCtNOtBFl4maUhw7I0pNvFl0vnS+HVB0/h1WVK4dXlyWh2ElAR3qZNm5pFZbgJ5c2b1yxcy5Mnz2E1nj17tgqBtWvXyv79+01qsnQsQRZeZmnIwCwN6XgRpvicKbz6wCm8ukwpvLo8Gc1OAirCO2bMmLi1u/XWW+NuE2mDxo0bmxy/mVIovMzSkFFZGjLlwkxiPSi8+nApvLpMKby6PBnNTgIqwpvMquErbk899ZRUqpQZnyYNsvAyS0NmZmlI5vWfCbEpvPqtSOHVZUrh1eXJaHYSsF54X375ZbM4rWvXruYra6FTJfBp4XQrQRbeZLQVF63pU+WiNV2mFF5dnohG4dVlSuHV5clodhLwLbyYS+ulVKtWzcvmOdtifnC0ojUv2NeJ+dyJwusTXJTdKLy6PBGNwqvLlMKry5PCq8+TwqvPlBHtI+BbeJEuzEtxUot52ScTtw2y8DJLA7M0ZOI1Ha9OFN54hLz/PUd4vTOLtQeFV5cno9lJwLfwTpo0yVONOnbs6Gn70I0///xz+eijj8zX1caNGyeTJ0+WZs2aqX/VzfcJetgxyMLLLA3M0uDhUsmYTSm8+k1J4dVlSuHV5clodhLwLbypqs7rr78ub775plxzzTUyfPhw8xGKd999V7777jsZNGhQqk5D7TgUXmZpYJYGtcspLQJRePWbicKry5TCq8uT0ewkYL3wtmzZUp555hnBHGDnq2uYY3jZZZeZzwynWwmy8DJLA7M0pNv1qnG+FF4NiofHoPDqMqXw6vJkNDsJWC+8F154oUybNk1KlCiRI7w7duyQq6++WmbNmmUn1RhnFWThTUZjcdGaPlUuWtNlSuHV5YloFF5dphReXZ6MZicB64X3jjvukIoVKwo+XFG/fn1ZuHChjBw5Unbv3i1DhgyxkyqFN2XtQuHVR03h1WVK4dXlSeHV50nh1WfKiPYRsF54t2/fLv3795c1a9bI3r17pXz58lK5cmUZPXq0lClTxj6icc4oyCO8zNLALA1pd8EqnDCFVwFiWAiO8OoypfDq8mQ0OwlYL7zAlp2dLatWrZJNmzaZL67VqFHjsA9Q2Ik28lkFWXiZpYFZGtLpWtU6VwqvFsn/j0Ph1WVK4dXlyWh2ErBeeB999FFp0aKFnH766XYS9HhWFF5maWCWBo8XTZpvTuHVb0AKry5TCq8uT0azk4D1wjtixAjBF9UKFy4szZs3N/JbvXp1O2m6OKsgCy+zNDBLg4tLJOM2ofDqNymFV5cphVeXJ6PZScB64QW2gwcPmsVqM2fOlE8//dTM4YX4du7c2U6qMc4qyMKbjMbiojV9qly0psuUwqvLE9EovLpMKby6PBnNTgJpIbyh6DZv3iwPPPCALFiwwHyEIt0KhVe3xSi8ujwRjcKry5TCq8uTwqvPk8Krz5QR7SOQFsKL7Axz5swxI7yQXHyAAiO8l156qX1E45xRkIWXWRqYpSHtLliFE6bwKkAMC8ERXl2mFF5dnoxmJwHrhRd5eL/88kupWbOmmcPbtGlTk44sKytL8ufPbyfVGGcVZOFllgZmaUi7C1bhhCm8ChApvPoQQyJSeJOKl8EtIWC98E6YMMGILtKRoaxcuVLef/99+eCDD8xitnQrFF5maWCWhnS7ahM7XwpvYvwi7c0RXl2mFF5dnoxmJwHrhRfY8ClhTGfAJ4aRj/ecc86Rdu3aycUXX2wnVY7wRiTALA3M0pB2F6zCCVN4FSByhFcfIkd4k8qUwe0jYK3wYjHS3LlzzWjuV199ZT420axZM3n88cfTcrGa0/RBHuFNRvfnojV9qly0psuUwqvLE9E4wqvLlCO8ujwZzU4C1gpvo0aNpFy5ctKqVSsjuscee6whiAVr6ZidgcKbnAuAwqvPlcKry5TCq8uTwqvPk8Krz5QR7SNgrfB269ZNvv/+ezn33HON8F5wwQVStGhRCq99fcj1GTFLA7M0uO4sGbRhJgtv9t/bRPLkkTwFyqe0xTjCq4ubwqvLk9HsJGCt8ALXr7/+aqY0TJ8+XbZt2yYNGjSQjz/+WObPny8FChSwk2icswrylAZmaWCWhrS8aBM86YwT3kP7JPvADjmw8Wk59NdGySOHRApVkYKVe0ieghVE8hZNkFjY7gf3SPahfXJo30rJW+Qkyc4+KHv/KiElS5bUPU6Ao1F4A9z4Aaq61cIb2g5Lliwx8ovMDJDdyy67TPr165d2TUXhZZYGZmlIu8s2oRPONOE9tHue/LWqT0QmBU8YLflKN0qIV+jO2X//Kn+vfUAO7f1OJPvAP39VoLzkrTJYCpWqrS/XameeXoEovOnVXjxbfwTSRnid6uHCxEcokLHh6aef9lfrXNwryMLLLA3M0pCLl16uHTqThDf7z3Xy57KrRLL/jswzT34pdMp/JG+RExLmnX1gm/z1402S/deGI2JlHTwoxWqOk7wlz074OAwgQuFlLwgCgbQT3nRvlCALbzLajovW9Kly0Zou00wS3qzf58iBn26PCajg8Y9KvjJNEoZ4YP3DkrXt7YhxILz5C1WUQic/I3kLV0/4WEEPQOENeg8IRv2tFN6XXnpJOnbsaBapRSv79u2TyZMnyw033JBWLUXh1W0uCq8uT0Sj8OoyzSTh/XvNA3Jw53sxAeUr21wKVh+aEMTsrJ3y95p75dDur6MLb758UuSM90UKVEzoWNyZI7zsA8EgYKXwjh8/Xt566y2pX7++ycpQtWpVI7+Q3LVr18rixYtlwYIFcvnll0v37t3TqqWCLLzM0sAsDWl1sSqdbCYJ7/+1dx5gUhR5G//P5swGlixJQLxDMICcGDhOJIlnVpBg4DPnSDBhFgFzAMWECUURUDEhJsyeeioGQAFJS1hY2F3Y3Unf8xbXyzA7oWenpumZeet5eESmu8Kvqnt+Xf2vGnf5G1K3cmLoGd62YyW19LSo6HnryqRu2SXiqVkVUnh3xQwfGVVZPJnCyzGQHARsKbxAv337drU7w2effSbLly+XqqoqtSq3c+fOareGwYMHS15eXtz1UjILL3dp4C4NcXfBaqhwQgnvti+kbvkloYVXx8I1d63UrZoo7q0LgwtverZkd5vDGV4NY5QhDRogMgvbE7Ct8NqeXCMrSOHlLg3cpaGRF0+cnpZIwiueGnFueE5c66YF7I20lmMkvcUYkZTMqHvLtfUdcf55Y1DhTW9yqGTuO1kcaflRl5XsGVB4k30EJEf7KbwW93MyCy93aeAuDRZfbrYoLqGEV7BBQ5m4KxaJs+wZEWf5LsbpJZLebKSklQzUN+Pq2ibOTa+Ja91jDfrRndZKcro+JCmZbW3Rx/FeCQpvvPcg62+GQMIK78yZM2Xu3Lnidrvl6KOPlosvvlhSU1MDMvnrr79kypQpKnSidevWan/fbt26qWNnz54tiCn2TdOmTZN9923ctjvJLLxmBmSkx3DRWqTEwh/PRWvhGUVyRKIJr2q7e6d43VtEvB5xiFc8kiYpaUUiqdmRoAl/rGubuLZ9Jp5tn4p755+SktFcHJmtxFs8UjLzdv3cPFP0BCi80TNkDvYnkJDCi19jmz59ukyaNElyc3NlwoQJ0q9fPxkxYkSDHvF4PDJmzBjp06ePnHHGGeqHLSDLzz33nDoXwvvHH3/IVVddVX8ufvjC4XA0qncpvI3CFvQkCq9ensiNwquXaUIKr15E4XNz14rHvVVSUjJE0oqFPy0cHlkkR1B4I6HFY+OVQEIK79ixY9UM7ahRo1S/LFy4UEks/vinJUuWCI5/7bXXJDNzV9zZ6NGj1Z/+/fsr4V2xYoVcd911Wvo4mYWXuzRwlwYtF1GcZULh1d9hFF69TCm8enkyN3sSSEjhHTZsmFx22WVq1hYJworty7DrQ0ZGxh49sWDBApk/f74gTMFIt9xyi7Rp00bN/EJ4Z82apX7OuKSkRAYNGiTHHXdco3szmYWXuzRwl4ZGXzhxfCKFV3/nUXj1MqXw6uXJ3OxJICGF9/jjj5dbb71VevTooahv3LhRhTNgb98mTZrs0ROY2f38889l6tSp9f+OeF7M9l566aXy+++/C76wILvLli2TBx98UInwscceq47HK/VI0vnnny833HCD7LPPPpGclhDH3j1r1yby44b11tYel8ul4rSN2XltGWvOKO2Lc8RR/q24D3tSPCW9NOeuNzvsd52dnd3osB29tYn/3DBGETrl/7Ad/y3bey2orq5WIWdMegg4nU7xer1xMUZ5Henp82TMJSGFV+cMr/+gwK+74UcvIMVIuPFGki655BIVQpGMwvvyx0sVqtP7dokEWchjIRL4k5aWpi3PWGSU/utkSalcKs6uV4unoGssitCWJx7ioolT11aRBMkID2SQCbuP0XjCjTFK8dHXYxijSMEWdusrKfqc+KATPcNkzSEhhRdC2b179/pFaljE9uyzzwaN4R03bpzMmTNHfckj4eeKR44cqWJ4/ROO+/TTT+W+++5r1JhJ5pCGRgELcxIXremnykVrepkypEEvT+TGkAa9TBnSoJcnc7MngYQUXixSmzFjhkyePFn9JPH48eOlb9++9QKMuN3S0lLp1auXmh2EhOLz4cOHqwVuTz31VP0uDR9++KF06dJFCgsLZenSpWrnB/yk8amnntqoHqXwNgpb0JMovHp5IjcKr16mpoTXVSWyc7l4d64VqdsiktdFHLmdRdKL9VYmQXKj8OrtSAqvXp7MzZ4EElJ4gRozuvPmzQu4Dy8EGBJ79tlnq15ZtWqVClHA9mOtWrWSK664on4f3gceeEAWL16sftoYkjxw4EAlxikpKY3q0WQWXu7SwF0aGnXRxPlJYYW3bpN4188WqV62Z0sdGeJo938iOZ3jnID+6lN49TKl8OrlydzsSSBhhdeeuEXNJk+cOFHatk2+XwjiLg3cpcGu12Us6xVSePEDDpDd7d8HroIjTaTTBHGkF8WyinGXN4VXb5dRePXyZG72JEDhtbhfKLwiN446Qhv1uAlp+HS0yGYKr7aOj6OMQgqvs1y8y24P3ZrSweIoHRBHLY59VSm8ehlTePXyZG72JEDhtbhfkll4Z773k6I9esAB2qjHjfD+eKfItt9EDhgnUvg3be2PRUaM4dVLNZTwerf/V2TNM6ELzO8mjjajRRy7FtUycdGa7jFA4dVNlPnZkQCF1+JeSWbhjQXquBHeWDQ+RnlSePWCDSm8Vb+K/PV46AILDhZHm+Ei0nDrPa+7RhypWXorHAe5cYZXbydRePXyZG72JEDhtbhfKLx6gVN49fJEbhRevUxDhjTUbhDvH3eHLrB0iDhKj9l9jNcpntpN4q78Rbx1m8SRViCOjKaSmv93caTl6a28TXOj8OrtGAqvXp7MzZ4EKLwW90syCy93aeAuDRZfbrYoLqTwep3i3bhApPyjwHVNLxRHhytF0gp2fe6pE3f1Mqkre6vB8SnZ+0hG84HiSIKtzCi8eoc2hVcvT+ZmTwIUXov7JZmFl7s0cNGaxZebLYoLuy0ZFq5t+USk/JM965vRTKT1KHFkt6n/d2/NaqlZ/VLQdqUV7C/ppf1FUrJt0fZYVYLCq5cshVcvT+ZmTwIUXov7hcLLXRqktLfFoy6y4hjSEBmvcEeHFV5k4N4h3tp14nBV7wpTyOm460cn0gv3yL5uwwJxb/85eJGOFMlqf7440vLDVSuuP6fw6u0+Cq9enszNngQovBb3SzILL3dpSJxdGrzYP9brEUdKujhSMiy+iuKrOFPCa6JJHud2qSt7Xbw1G0IendHqZEnN3ddEjvF7CIVXb99RePXyZG72JEDhtbhfkll4Y4Gai9b0Uw01w+t175Caih/E5dwmHmeVpGYWSlpmS8nI6ygpqTn6K5MAOeoSXuzI4NzwhrirV4SkktVujDgyShKAXPAmUHj1di+FVy9P5mZPAhRei/uFwqsXOIVXL0/kFkx4Ibk7N38srtryBoVm5neR7MKDxZGa2LGjjaGtS3hRdt3G98S97Yfg1UjJkMx9RkkKhbcxXZW051B4k7brk6rhFF6LuzuZhZe7NMTxLg2eWqkq/1yc1SuDXjHZhYdIVmF3i68o+xenU3i9zgqpXfOCeF3VARue2XKopOTZ+4dNdPQYZ3h1UNydB4VXL0/mZk8CFF6L+yWZhZe7NMTvLg0ed7VUrpsvHndN0CsmPaul5Db7pzhSku+HEELdRnQKL8rx1m2W2rI3xFu7yadYh6S3GCJp2a1F0vZc6GbxLc6S4ii8ejFTePXyZG72JEDhtbhfKLzcpSEed2lw1W6WyvVvhLxa8Itf+S2HSmqC7xAQ6S1Dt/Cq8l2V4vU6xb1zraRkFIs4MiUls2mkVYvb4ym8eruOwquXJ3OzJwEKr8X9kszCy10a4neXBo+rWravmyNejyvoFZOW2VTymvVnHK8foZgIr8X3LbsVR+HV2yMUXr08mZs9CVB4Le6XZBbeWKDmojX9VAMtWvN6dkpl2TvirqsIWmBm3r6S0/Qo/RWK8xwpvPo7kMKrlymFVy9P5mZPAhRei/uFwqsXOIVXL0/kFmyXBo9rm2xbMydggamp2ZKrwhny9FcoznOk8OrvQAqvXqYUXr08mZs9CVB4Le6XZBZe7tIQx7s0qOvEJW5npVRtWCReN2JIveJISZPU9BLJKT2SsbtB7iWRCK/bUyfidYjX6xKHI1X9SUlJtfguZf/iKLx6+4jCq5cnc7MnAQqvxf2SzMLLXRrid5cG38vE496JvQLE66oUR2qepKSki/DX1oLeScwIr8frFperRrZWrBKXu1bllZKSJlkZ+VKQ30pSU/lrdr6AKbx6v7govHp5Mjd7EqDwWtwvFF7u0hCPuzRYfJkkVHFmhLe2tlI2b10esN2ZmXlSVNBeUlPTE4pLNI2h8EZDr+G5FF69PJmbPQlQeC3ul2QWXu7SEL+7NFh8mSRUceGEFzO7m7YuE487+A4YBXktJD+vZUJxiaYxFN5o6FF49dJjbvFCgMJrcU8ls/DGAjUXremnGmzRmv6SkiNHM8K7YfOvIWFkZxZKcVF7EXEkB7QwraTw6h0GnOHVy5O52ZMAhdfifqHw6gVO4dXLE7lRePUyDSe8O2u2ypaK4D/ZjNpkpGdLcVFHSWWstOocCq/eMUrh1cuTudmTAIXX4n5JZuHlLg3xvkuDxRdLghQXTnjdHqeUbfw5ZGtzsoulqEm7BCESfTMovNEz9M2BwquXJ3OzJwEKr8X9kszCy10aEmOXBosvmbgvLrzw1kn51j/F6cTuF4FTUWE7yckqjnsWuhpA4dVFclc+FF69PJmbPQlQeC3uFwovd2ngLg0WX3R7ubhwwovqYSuyTZt/E4/X06C22JYsL6ep2pOXaRcBhN0UFhYShyYCFF5NIJmNrQlQeC3unmQWXu7SwF0aLL7cYl6cx+OVWpdL6txeqXV7JDc9TTLSUiQ9NaW+bDPCi4Pd7lrZXrVeXK5a8XhckpaWJQhlyMzMlxRHWszbYtcCvCKys84ttS63VNY4JT8rXcTjkiY52ZKSwkV8OvqNwquDIvOwOwEKr8U9lMzCGwvUXLSmnyoXrZlj6vR4ZduOOlm/bcceJ6SlpEi7kjzJydg1I2tWeI1M3G6nOBwOcaSkiEN2i7O5WiXWUS63RyprXbKmonqPhrldbmnXNF/yszMkzUHpjbbXKbzREuT58UCAwmtxL1F49QKn8OrlidwovOaYbqmulbUVe8qu75ldWzRRM72RCq+50pPjqMoal6zcUtmgsRDe1LRU9WBRkMkf5Ih2NFB4oyXI8+OBAIXX4l5KZuHlLg3cpcHiyy1mxdW5PfLHxkpxeRrG3BqFFuZkyj5FORTeRvaCy+OVVeVVssPZ8Ac5DOHNTk+TtkU5kpHG+OZGYlanUXijocdz44UAhdfinkpm4eUuDdylweLLLWbFIWb397KKkPlnZ6RJu6Jc8bid4na7JScnJ2b1ScSM1UPFpsAPFYbwpjoc0rlZwR4x04nIItZtovDGmjDztwMBCq/FvUDh5S4N3KXB4osuBsXVON2ybOP2kDlnpadJ+2IKb2PxO90eWR5GeBG/24nC21jE9edReKNGyAzigACF1+JOSmbh5S4N3KXB4sstZsUpGQsb0pAhbQpzpa6uljO8jegJt8crK8qrZGeYkIZ2xTmSnsqQhkYgpvBGA43nxh0BCq/FXZbMwhsL1Fy0pp8qF62FZ+rximyo3CmbK2uCHoxX7VnpqYzhDY8z6BHVdS75c3PwRWvtS/Ikn4vWoiC861TO8EaNkBnEAQEKr8WdROHVC5zCq5cncqPwmmOKfWHLq+qkvLqh9LYtzpOCrHTBjlncpcEcz0BHeb0ilbV1smpLw23J2jctkLysNME2cEzREaDwRsePZ8cHAQqvxf2UzMLLXRq4S4PFl1vMi8Nr96palyCmd6fTKXlZGZKbkSbZ6btfsVN4o+8G/PBEncctlTtdkp+dLuJySkFujnqgMBL27C3bWiPl22tl07ZaaVmcLYW56dK8KFvSUrlXb6heoPBGP0aZg/0JUHgt7qNkFl7u0sBdGiy+3GxRHIVXfzf4/7Rwda1blq+tlO+Xb21QWK/9imXflvmSlZE8M8G1To/UOT2Snu5QYTXhEoU3HCF+nggEKLwW9yKFl7s0cJcGiy+6vVwchVd/B2zdulWKiorqM166drt8vqQ8aEH9ejSTds1z9VfEZjlW1bjk5xWVapa7otIpRfnp0rJptnRtkyvZmcF/nprCa7OOZHViQoDCGxOswTNNZuHlLg3cpcHiy80WxVF49XeDr/DuqHXLwu/KZEtlXdCCmhdlSd/uzSQnM/xsp2GtEywAACAASURBVP7aWpPjtmqnLP65XFZt2NmgwP32yZNe+xVJQU5g6aXwWtNHLGXvEqDwWsw/mYU3Fqi5aE0/VS5a08uUwquXJ3LzFd7t1U6Z98VaQTx1sJSZniJDe7eW/P8JX9UOp6zdXCUbyneKR7zSqiRXWjXNlbyc+PyZYpfLK4uXlMsvqxruaGEw6dmlUA7tuntW3JcVhVf/GGWO9iNA4bW4Tyi8eoFTePXyRG4UXr1MKbx6efoLb3WNS+Z/sVYQtxos5WalyaBeLdSCt41bd8qbi1dKWfmeOz+UFmXLv4/sIM2L4+8X8ap2umT+5+ulorrhzzAbTEoLM2TIoS0kN6vhLDeFV/8YZY72I0DhtbhPkll4uUsDd2mw+HKzRXEUXv3d4DvDi7jVRd9vCB3SUJglfXs0Uz8A8uoHf8h6P9k1atisOEeG9e8keTkZ+isdwxy3VDpl1odrQpaQliJyat82Kq7XN1VW14jT6ZKaOux8kS0ZmemSkZa4oR8x7AZmbXMCFF6LOyiZhZe7NHCXBosvN1sUR+HV3w3+i9bWle+U9/5TFrSgob1bSdMmmbJsdYXM/mB5yAqd8q9O0qVtof5KxzDHqh0uefXTdYJ45mCpMDdN/t2npeRl74rjheBuqaiWlxd8I1sqqmTHzjppUdpEDuzaVg7u1k5KChN/kV8Mu4RZ25AAhdfiTqHwcpcG7tJg8UW3l4uj8OrvAH/hdbm9sn5LjXzw/Z7Si+13+x/cUpoWZkh6aop8+XOZLPo29EzoET1ayVEHtdJf6RjmuLPWLQu+LpMNW4Mv3GtTmiUDezYXxDMjrVq7WR58bpH6u9frEfGKOP73Ix7/6NFBBh3ZTfLzsmNYa2ZNAtYSoPBay1uSWXi5SwN3abD4crNFcRRe/d3gL7xGCRVVdVJd45YNFTXSoihT8rLSpSB39yv8r5aUyQffhBHeA1vJUQfGl/Ci/dt3uOT5hasDwsYPdIw+Zh9BLDPSpi1V8tDzC6V6xy5B9hde/Ntpg3tJ7x4d9Hce1glsrxKP1ys1O+skPy9HMjPSJCMjPhcMxgQQM40JAQpvTLAGzzSZhTcWqLloTT9VLlrTy5TCq5cncgsmvOFK+mPtNnn5/WUhDzu5XyfZr118hTSgQU6XV6prnPL2Nxtla6VTtRGiW5KfLoN7Y8He7i3JNmzeJvfMeLeeQyDh7XlAexl+7KHhkEb8+eYt2+SZV96VLVu3y7bKamlRWiydO7SWo4/qKaXFBRHnxxNIwCwBCq9ZUpqOo/BqAvm/bCi8enkiNwqvXqYUXr08oxHeHTUuee3D5bJ6Q1XASrUqzZVT+mHRWvzONuLnlyG6W7Y7pTg/XVJTHJLtt//w1/9dIS+//U1I4d2nZZGMOqGPlDTRF8u7sXyr3DJ1ZkD2B+zfUYYf/y9pUqCvPP0jjznGMwEKr8W9l8zCy10auEuDxZebLYqj8OrvhsbO8KoHuspaeWPxigbS27o0VwYd1l6aFyd+3OrG8kqZ9MTbIYX30O4d5PQhvbR13vaqHXL/E6/Jhk1bguY58J+95N8D+mgrkxmRgC8BCq/F4yGZhZe7NHCXBosvN1sUR+HV3w3RCC9qg5neDeU7ZNO2neLxeKVFSa6UNMmS/Die2Y2EcvnWKnn0xQ+lonLXr7IFCmk4fUhPObR7x0iyDXlsxbYquf6ep1BY0OP+1qWdnD1siORkxde2cNogMaOYEqDwxhRvw8wpvNylgbs0WHzR7eXiKLz6OyBa4dVfo/jLcU3ZVrnvmfcDCu+Aw/8uR/XqLNkaxXPJ0pXy6DPzQoIqKSqQK887VYqa5MUfUNbY9gQovBZ3UTILL3dp4C4NFl9utiiOwqu/Gyi80TOtqXVK9Y5aeeWdb6W8olLt2NCqWaHag/fv+7aSwgK9vzi3dVul3DT5GfF4gv8iXreuHeSs0wZpFe3oSTGHRCFA4bW4J5966ikZOnSoNGvWzOKSE7M4LlrT369ctKaXKYVXL0/kRuHVx7R6Z63U1tZJTa1LcnIypTBfr+gaNd1euUMeevp1WVe2OWjlB/+rtwzt/w99jWNOJOBDgMJrYjjMnDlT5s6dq36W8uijj5aLL75YUlPN//RiZWWlLFmyRP7700+yePGn0qN7D2nXvp0M6H+MNGnSxEQNeEgwAhRe/WODwquXKYVXL08Kr36eNTU14vV6JTs7tgv2sBXZjVOeCRjH2/ug/eXEwUeofXmZSCAWBCi8Yah+8MEHMn36dJk0aZLk5ubKhAkTpF+/fjJixAhT/VFVVSUffvSRvDJ7tjp+5aqV0qplK8nIyJAunTvLeeeeK82bNzeVV7wfxF0auEtDvI/hxtSfwtsYaqHP4QyvXqZWCS9qjcVrM2e/J1u2V8rWiipp2bxY9u/STo7s2U2Ki7gPr96eZW6+BCi8YcbD2LFjpVu3bjJq1Ch15MKFCwUzvvhjJn3x5Zfy6GOP1R/qK7z4x3/8o7ecNfpMJdOJnrhLA3dpSPQxHqh9FF79vU7h1cvUSuFFzat31IjT6ZKamjrJys6Q7KxMyeQvrentVObWgACFN8ygGDZsmFx22WXSp8+uvQFXrFgh5513nrz11ltqljZUwuv2x6ZPk2+//U9Q4c3JyZY777hTSoqLE354UngpvAk/yAM0kMKrv9cpvHqZWi28emvP3EjAHAEKbxhOxx9/vNx6663So0cPdeTGjRtVOMOrr76q4m+vueaaoDkcdthh8sprr8rGDRvrj8GNJSMzQ1IcKfX/dtEFF6gYX4Q/JHJytDxYNc+7/jttzcSKX8SeRRJTra3wCDIa2PI/0iK7Qt5dd5CU1dj74cblcimeDvxcE1PUBOJljEbdUAszwBhNS9v9U7kWFp2QRRk7J6Sk7P5esmtDp0yZYteqsV42J0DhDdNB4WZ4//vf/wbNITsnR5599ln5fenv9ceUlW2QkqYlku5zs546eYr6OVemyAngiw9/srKyIj+ZZwQkgAcvhNhQePUMEKfTqbZiyszM1JMhc1GTA3l53KtV11DA20ikcG8tdZUXTT7G5FM0efDc5CRA4Q3T74jh7d69e/0iNSxig8SajeF94skn5ZNPPqkvxT+Gt7ikWG4YP0FKS0uTcwRG2Wru0hAlwACnc5cGvUwZ0qCXJ3JjSINepgxp0MuTudmTAIU3TL9gkdqMGTNk8uTJkpOTI+PHj5e+ffua3qVh8+bNctPEm6Wycle4gr/wjr32WrUojqlxBCi8jeMW6iwKr16mFF69PCm8+nlSePUzZY72I0DhNdEnmNGdN29eo/fhRdzvw48+IitWrKwX3uLiYrnowgulc6dOfB1vog+CHULhjQJekFMpvHqZUnj18qTw6udJ4dXPlDnajwCF16I+wUwvFgS8/MrLMmjgICW5LVu2tKj0xC2Gwqu/bym8eplSePXypPDq50nh1c+UOdqPAIXX4j5BSAR+qa1NmzYWl5yYxVF49fcrhVcvUwqvXp4UXv08Kbz6mTJH+xGg8FrcJ+ecc45MnDhR2rZta3HJiVkchVd/v1J49TKl8OrlSeHVz5PCq58pc7QfAQqvxX1C4dULnMKrlydyo/DqZUrh1cuTwqufJ4VXP1PmaD8CFF6L+4TCqxc4hVcvTwqvfp4UXv1MuS2ZXqYUXr08mZs9CVB4Le4XCq9e4BRevTwpvPp5Unj1M6Xw6mVK4dXLk7nZkwCF1+J+ofDqBU7h1cuTwqufJ4VXP1MKr16mFF69PJmbPQlQeC3uFwqvXuAUXr08Kbz6eVJ49TOl8OplSuHVy5O52ZMAhdfifqHw6gVO4dXLk8KrnyeFVz9TCq9ephRevTyZmz0JUHgt7hcKr17gFF69PCm8+nlSePUzpfDqZUrh1cuTudmTAIXX4n6h8OoFTuHVy5PCq58nhVc/UwqvXqYUXr08mZs9CVB4Le4XCq9e4BRevTwpvPp5Unj1M6Xw6mVK4dXLk7nZkwCF1+J+ofDqBU7h1cuTwqufJ4VXP1MKr16mFF69PJmbPQlQeC3uFwqvXuAUXr08Kbz6eVJ49TOl8OplSuHVy5O52ZMAhdfifqHw6gVO4dXLk8KrnyeFVz9TCq9ephRevTyZmz0JUHgt7hcKr17gFF69PCm8+nlSePUzpfDqZUrh1cuTudmTAIXX4n6h8OoFTuHVy5PCq58nhVc/UwqvXqYUXr08mZs9CVB4Le4XCq9e4BRevTwpvPp5Unj1M6Xw6mVK4dXLk7nZkwCF1579wlqRAAmQAAmQAAmQAAloIkDh1QSS2ZAACZAACZAACZAACdiTAIXXnv3CWpEACZAACZAACZAACWgiQOHVBJLZkAAJkAAJkAAJkAAJ2JMAhdeifvnrr79kypQpsnz5cmndurVcfvnl0q1bN4tKj+9iPvvsM5k2bZqUl5dL9+7d5dprr5WSkpIGjXI6neq4r7/+WrZs2aI4n3XWWdKnT5/4BqC59jt27JB7771XvvzyS8nLy5MRI0bIcccdF7aUBx54QN5880158MEHZf/99w97fDIdYHaMGkzef/99eeGFF2TDhg3SvHlzGT9+vOy3337JhCxkWyMdo2CJsVlZWSkdO3aUiy66SLp27UqeYQh899138vzzz8uyZcukadOm8vTTT5MZCSQsAQqvBV3r8XhkzJgxSrzOOOMMwZfdzJkz5bnnnpPc3FwLahC/RZSVlSl2Y8eOlYMPPlgeeughwQrte+65p0Gj8CX51FNPyYABA6RZs2ayePFiefTRR+WJJ55Q8su0iwBkd926dXLDDTfI6tWrZcKECXLnnXfKAQccEBTR77//Lo888oj6YsT5FN7dqCIZozgLDxpTp06Vq666SnHcuHGjFBQUSIsWLThE/0cgkjH6+eefy6RJk2Ty5MnSoUMHmTVrlrz11lvqv0yhCfz666+yfv16NUEAZhRejphEJkDhtaB3lyxZooTttddek8zMTFXi6NGj1Z/+/ftbUIP4LeLFF18UzEJgdhwJcoAZSfx7aWlp2IZhhvfss8+Wvn37hj02GQ5wuVxy4oknyh133KFmy5EgX0hXX311QAR4YLv00kvVW4krrrhCHU/h3Y0q0jF6wQUXqD4YOHBgMgy5iNsY6RidM2eOQHqNe8TmzZtl+PDh8vrrr6s3GEzhCXzyySdKdim84VnxiPglQOG1oO8WLFgg8+fPV6/bjXTLLbdImzZt1OwlU3ACd911lxQWFsqFF15Yf9BJJ52kZiV79uwZEh1mLTCj/vjjj0vbtm2JWUTWrl2rwjzmzp1b/3YBf1+0aJEKVQiU8PmKFSvkyiuvlCFDhlB4/SBFMkYRdgOGuO7BFQ8TeBg799xzJSMjg2O0EWMUgosJBfwxZni//fZbQQgOkzkCFF5znHhUfBOg8FrQf5jZxQyEMZOGIjEbgdlezJwxBSdw0003SadOndRsuJFGjRqlBOGoo44KeiLEAnGR7dq1I2MfSoghx8PDe++9Jw6HQ32CEJuXX35ZZsyY0YAnHhows4twBrx2p/A2HHKRjFG8PsZYRvw+zsM4RWjJ4YcfLmeeeSZvBSJqnUMkY9TtdsuTTz4ps2fPVvyKi4vl7rvvVvLLZI4AhdccJx4V3wQovBb0H2d4Gw85ktkzoxS8Er311lslPT1drr/+eklJSWl8BRLszEhneMEfoQ/HHnusIkHhbTggIhmjWHg5bNgwwRseYzHl22+/rRZc4aGCKfK3EIjVfeedd+S2225TcdAfffSRequDeP78/HwiNUGAwmsCEg+JewIUXgu6EDG848aNE8SaQcKQ8Fp55MiRjOENwx/xkT/88EP9IrVNmzapMIVgMbyY7bn99tsF0nvzzTdLWlqaBT0cP0WAywknnKBmwIxdQrBAyOv1BozhPfXUU/doXEVFhZIIzFIiHyZRYzGSMXryyScr1hTewKMn0jGKBw7M6p5//vn1GSLsCTPnWOjKFJ4AhTc8Ix4R/wQovBb0IeL0zjnnHBWrh8UUCxcuVLMP3KUhPHy8Akb4AmZqDzzwQHn44YcF0mvs0gDRWLVqlRx//PEqHhK7DUDKMINmPFxAejnLu5s1Qmuw+A9CsGbNGvUwhocEY5cGvB4eNGiQ2tkCLMHVSHhIw4NEjx49JCsrK3wHJsERkYxR4MDsI1bHT5w4UT2YYWwjpAGhOky7CEQyRhELjT+49o0ZXuzYgJ1wzCxsTWbmuLYxBrGjDXhhbCLUybh3JjMbtj3xCFB4LepTSBnidv/44w9p1aqVWu3OfXjNwcfNePr06QH34cXrTGzzdP/99wu2hwokDYgHxIwP0y4CvnucYls8SKzvPrwIW4AAB5odY0hD4FFkdozibMTtYnu9jz/+WC1U69evn3qoo2TsZhvJGIW0If4cCy+rqqqkZcuWKh76iCOO4CUfhgB2wMFiP9+E/YsxPplIINEIUHgTrUfZHhIgARIgARIgARIggT0IUHg5IEiABEiABEiABEiABBKaAIU3obuXjSMBEiABEiABEiABEqDwcgyQAAmQAAmQAAmQAAkkNAEKb0J3LxtHAiRAAiRAAiRAAiRA4eUYIAESIAESIAESIAESSGgCFN6E7l42jgRIgARIgARIgARIgMLLMUACJEACJEACJEACJJDQBCi8Cd29bBwJkAAJkAAJkAAJkACFl2OABEiABEiABEiABEggoQlQeBO6e9k4EiABEiABEiABEiABCi/HAAmQAAmQAAmQAAmQQEIToPAmdPeycSRAAiRAAiRAAiRAAhRejgESIAESIAESIAESIIGEJkDhTejuZeNIgARIgARIgARIgAQovBwDJEACJEACJEACJEACCU2AwpvQ3cvGkQAJkAAJkAAJkAAJUHg5BkiABEiABEiABEiABBKaAIU3obuXjSMBEiABEiABEiABEqDwcgyQAAmQAAmQAAmQAAkkNAEKb0J3LxtHAiRAAiRAAiRAAiRA4eUYIAESIAESIAESIAESSGgCFN6E7l42jgRIgARIgARIgARIgMLLMUACJEACJEACJEACJJDQBCi8Cd29bBwJkAAJkAAJkAAJkACFl2OABEiABEiABEiABEggoQlQeBO6e9k4EiABEiABEiABEiABCi/HAAmQAAmQAAmQAAmQQEIToPAmdPeycSRAAiRAAiRAAiRAAhRejgESIAESIAESIAESIIGEJkDhTejuZeNIgARIgARIgARIgAQovDYdA1deeaV8//338t5770lGRkaDWlZXV8uAAQOkf//+csstt0TdihkzZsjTTz8tn332WUR53XfffbJgwQJ5//33Q57nn3+4/4+oEpoPfuONN+TJJ5+U9evXS1ZWlnz88ccRlWCWSUSZ+h388ssvyz333CNFRUWC+mZnZ9cfsW7dOjnuuONk/Pjxcsopp0RTzF45d2+PjQsuuEAyMzPlgQceCNp+g/9rr70m7du33yucAhUayXX8008/yQsvvKDuMxUVFVJSUiLt2rWT448/Xt1X0tLSbNEu/zZZcX2h4ZGw1AEqFvd8q9uggwPzIIFYEaDwxopslPkuWrRIrr32WiU1Rx99dIPc5s+fr0R32rRp0qtXryhLa/zN3eyXTziJ8f/8kUcekVdeeSVi2YwWRHl5uQwePFguv/xyOf3000N+6Qero1km0dTVEC7kcfHFF8s555xD4Y0GqM+5ySC8GD+TJ0+WU089VU477TRp3bq1bNmyRd566y0lenfeeaf069dPE9Hd2TTmuo618Aark9WyGIt7vtVt0D5gmCEJaCRA4dUIU2dWTqdTBg4cKD169BAIlH8677zzZO3atfLmm2+Kw+HQWXREeTVW7sLdiBvzxRhRxYMcjNmu//u//1MzX127dg2ZpR2Et3fv3vLLL7+ocZCXl6fqm2gzvDr6NZI8El14f/zxR/WANGbMGLnwwgsboMHMb01NjZYHaf/MdVzXjb3nBBsDOuoUyfgKdmws7vnh7rM66s08SCBeCFB4bdxTkyZNkjlz5si7774rhYWF9TUtKyuTY489Vn1pYXbv9ddfl9tvv119Dvlt3ry5HHzwweqzFi1a1J9nfFG89NJLcscdd8g333yjXn2PHTu2weu7SPN88cUX1YwzhBF1PeOMM2TEiBH1ZUcywztlyhRBHX1TaWmpquc111wTUEYvuugi2b59uzz//PNBe/Trr79WM+K//fabmrkFoyuuuKL+lfTNN9+sxNE3DR8+XJXpn4LV8Z133lEPKAjzmD17ttx2223y5ZdfSn5+vpx55pmC/HzTsmXL5NFHH5XvvvtO6urqZL/99pPLLrtM1S1UMmZ4wRWCdvbZZ6v/hhLecO3HuaHGiPHZrFmz5NZbb5Vvv/1WWrZsKddff70cdNBB8umnn8qDDz4oa9aske7du6u2N2vWrL4ZZsdUqLGyYcMGGTJkSEA0hx12mDz88MPqM7NcFy5cKI899ph6SOjSpYsKA7n//vu1hTSYYW7Ud/r06WocQHwOOOAAufTSS2X//fdX7Wksu0Cgrr76atV3CJdC6Ea4ZKYNZsa8mWvGzL3JKCvcPeeGG26QlStXNrgnnHvuuep6vPfeeyVUnQLJoi4WwZjrvuf7t8EME6NuZq4hfBfhmsd42rFjh3To0EFGjRqlwu2YSMBuBCi8dusRn/osWbJERo8erUQPrx2N9NRTTwlmJSDDiLnzTS6XS1atWqVu5Fu3blU3eyMWD18UeGUJmYJ44UvV+CzUTICZPA888EAluJ06dVLxvHfffbeMGzdOTjrpJFW9SIQXxweadUE9IPr/+te/FBMjIdbWiFk9+eSTA/YovqjwAACOkMOdO3eq17aQX3zJGg8GuHGff/75gi9TyGeoFGqGF5z/8Y9/COrTuXNnQawnvhgQJw0ZRFq6dKmqS9++fQXCji9hiCzih5955pl62QlUB0N4IdYYD/gvYnnxsBFohtds+0ONEeMziCXCPdq2bSsPPfSQ6m+E3rz99ttqxrC2tlbJ2r777itTp04NiDDUmAo3Vvwz/PDDD9VDCR6yIHNmuf7nP/8RvCnBTCfORTgL+gj/RTxrtDG8Zpn/+uuv6q0CuGKM4iHh559/Vg+6N910UwN+kbALBP+oo45S9wCIfbhktg3G2Ag35sNdM2buTUZZ4e45ZuXObEiDbhaB2Ou+5zdWeM1eQ2eddZZa5wDWTZs2lRUrVshzzz2nrkNcQ0wkYCcCFF479UaAumDRUU5OjsycObP+U0gU5AhSFCxBeiGbOO/vf/+7OgxfFBBgSMg///nPPU418+orkjwxA4gFcBA/SHU4iTEbw2t8OfnOTmHWFu2CIOTm5gZEghszXtNidtJIWKgDgf73v/9dL9C6hBf1gTwdfvjh9eVByiEEmBFFgtxghgTy6rtACPJTUFCgZqCCJV/hTUlJUW0YNmyYij0OJLxm2x9qjBifYUYaoRRIYIgY8zZt2sirr74q6enp6t8Rfw0J/uijj+pDLQK1JdCYCjdWfPPBLBQeGvCg9cQTT6jyzXLFTB/kEQ8hRvrrr7/kxBNPlCOOOCJq4TXLHDPzGAfgF8lCMTPs/JlXVVWpByzcQyZMmBD27me2DcbYCDfmQwmv2XtTsDHqf8/RLby6WQSDr/Oe31jhNXMN4drBfQBvxnD/YSIBuxOg8Nq8hyC1mEUzZnMx84NX474r8PEqHF8WmOXDFydmL41011131b9eMr4ovvjiiwY7P/jfGCPNE6/tDdlB2cas29y5c2WfffbRJrzGbC6+3PBq2+PxqNldiOSNN94YsDcx4wjxhBjhRu6bMLO6adMmFX6ApEt4MUMMzr4Cg1AFt9utZq/x2hpShZlFSKpvwit21AeLWMwIL0JY8BCDMYLFjGiv7y4NkbQ/1BjBZ2gX+jo1NbW+aphxxxcfxpqRvvrqKzVrjQcMzHAjmR1TZoUXso3Xp/jixawSZpjMcvV6vWpGFQ8X+OObILyYvY5mhtcsczDBOBg5cqQKZQmWGssumPBCqnAPCZXMtgF5GGMj1JjHceGE18y9yRij4e45OoU3FiyCsdd5z2+M8Jq9hlB/PDjhnoZrHdcTJmKYSMCuBCi8du2Z/9Vr48aNSuwMWUOMF+L5MMOJWUAk/BtmNyGBeM2HWU5IHHYbQBylEfOILwoIEWTUP/nfGCPJE1Lrv3XXDz/8oF4VP/7443LIIYdoE17U+5JLLlFig5hHfEHi/5999lnp1q1bwN7cvHmzWgCI12wQTN8ESYacgSeSLuHFzDbiQ30TBAOzr6grXpuHi3PDK/dgyXeGF8KL8JWhQ4fKCSecoEJLfIU3kvaHGiPGq2T/dmGWHG8MsKuIkbDwCTNiGFeI741knJoRXkguHl5QDkJAjFhXs1yNmWnMththN0bdMW6xADAa4TXL3KhvoLHp2/dmr0czb2rMhjSYbYMhvOHGfDjhNXtvwjg0c88JJrz+b1DMhDTEgkWwa1vnPd+s8PoyMXsNof6IkUZ/4OED4ot7MMLlcL9lIgG7EaDw2q1HAtQHX+y4seAmP2jQIOnZs6eSXCPhlTK2FzIWLeHfsRIbkuwvvMH2zPW/MUaSJ2aXw822hJMYsyENaJsxezxv3jwVNoDX0L6hCv4IQ83OgC2+YHTP8Abi7Cu8qBNm9vBaHXGkkSZ/4cX5WLCFvsAMMb7AjLcAkbQ/1Ar4YJ9BeLGFle/ivkDCa3ZMhRsrhjwjbAKLNfFgZySzXI0ZXvCH4PqmWM/w+o45szO8jWUXaFyZXbSmY9z4jvlwwmv23mR2hhdvHLAwF28+fBMeCjt27FgfMmRGeGPBItQ1r+ue738tmWFi9hryrT/CxbBgGazxZgrx4UceeWSktzUeTwIxJUDhjSlePZljMRBmKzBzh+2yfG8m+OKGOOFL23cvVsRPQooaI7yR5gnJQrwpYgONhHIXL17c6BheLMTCzfrzzz9vANFYvIaZKswK4Qvcd1FfIOqYbcSN3Hf3h23btqnZrV9taQAAC+ZJREFUb8yGYoEdUiQzvMHqGEwM/b/88YBSWVmp4qx9QwTMjJpAwotdKtAWzLLgAcQ37MVs+2MlvJGMqXDCa+xYgNCeQGEAZrnioQD1wgyxkfDwhBlfhMBEM8OL/MwyDxfDGw27QGPJ2JYMD1qBHrYQNoWwKOzvbbYNZsd8pNcM6u8/HgzhDXfPwXWF+P4PPvig/odZVq9erfoXMmbEyAerk3+5ulmEus513fP922CWidlryL8NCDHr06ePCrsLtOWdmXsbjyGBWBGg8MaKrMZ88fSM19/4dTX8sha2vvKNDcXMGlZ64wbeqlUrtVoe4oYbfWOEF1WPJE9s5YXV1cYuDXjljZmE6667TsV4BfrSCic1xiwuvrAQEoGFWb4JC6cgKlghjHAOYw/aYNghgNg5AAu78MWFL3TUEV/umB3G9lqRCm+wOpr98sdKaDyk4MsX4oE6IAYbko//XnXVVUFHUSDhxcEIIUGoB5Kv8Jptf6yEN5IxFWpsYJEa4l0PPfRQJaT+4wLlmOWK2T98sWOWF+MCYSHIE6+vdezSYJa57y4NCM/BFnxYrY9xbcSlm70ezYQ0gBHGPHZywW4beDuEH57Aq2zMsmLxn/HDE2bbYHbMR3rNBBNeM/ccbGGHxVS4B0G+cE3h+sA6AOyEYQhvsDr5s9TNItRXhK57vn8bzDIxcw2BJ3bjQQgDdrTBGg589+C+qusHkTR+jTIrEhAKb5wMAsTn4hW+sfWSb7XxRY0ZXYgSBAByjBnfQDG8Zl8bRponZnlRR7zWatKkiaonFhQZKZzg+n+OmQLIOr6MMAsKCYDoG8nYiQAzmhMnTjTVi/jCggwa+/BCpDFDiNebRopkhjdYHc1++aNMhKqgTtjyCPtY4oHFWMSENgdLwYQXD0Vggtlr/58WNtP+WAqv2TEVaqwYchKIi+8+vGa5InYbX84YT9jpATG9kF6zPy0cqB4YT0aIjBnmhqTjIQ7XDxK2DMRrbSM2ubHsQl0YCDvBdYt4e8Q0FxcXqz2pIYnHHHNM/UO1mTaYHfORXjPBhBf3sXD3HJyLh36EPUH08OYDb8qwB7mxDy+OCVanQA8POlmEu2npuOcHaoMZJmbvTdh7G/ci/PgN3rxh7GMrTSxkZSIBuxGg8NqtR1gfUwSM2TmsaIYcMJEACZAACZAACZBAMAIUXo6NuCOA2Sj8Qpqxv2/cNYAVJgESIAESIAESsJQAhddS3CwsWgKIucRrX7zqxQp9/OABEwmQAAmQAAmQAAmEIkDh5fggARIgARIgARIgARJIaAIU3oTuXjaOBEiABEiABEiABEiAwssxQAIkQAIkQAIkQAIkkNAEKLwJ3b1sHAmQAAmQAAmQAAmQAIWXY4AESIAESIAESIAESCChCVB4E7p72TgSIAESIAESIAESIAEKL8cACZAACZAACZAACZBAQhOg8CZ097JxJEACJEACJEACJEACFF6OARKIIwKPP/64pKeny9lnn71Xa33fffdJamqqXHbZZVrqEWl+kR6vpZLMZA8CZ511llx//fXSuXNnkiEBEiAB2xOg8Nq+i1hBEthFYPv27XLKKafI66+/Lrm5uSGxDBo0SO69917529/+FhN8uoUz0vwiPT4YhGOPPVYmT54cllMgnmbPbUwHbNiwQT3ULFiwoDGnW3LOokWL5I033hD0BRMJkAAJ2J0AhdfuPcT6kcD/CMyaNUuWLFkit912W1gmFN6wiCI6INY8/SvzyiuvyB9//CHjx4+PqJ5WHux0OmXAgAGCcdm8eXMri2ZZJEACJBAxAQpvxMh4AgnsHQKXXnqpHH300XLCCSfUV2D69Ony6quvisvlkv79+8vVV18tN954o2D2zUjXXXednH766TJy5Ej59ddfVUhEly5dlEztv//+6rBjjjlGRo0aJfPnzxfMLh5xxBFyyy23SEZGhvr8zz//lIkTJ8rKlSulR48eUlhYKKWlpfUhDWbyxmxgeXm5qlu4/PwJhzse+d5zzz3y9ddfS05OjpxxxhkyYsQIefrpp+WXX35Rs7hGwt+9Xq+Ai+8sbbA2XHvttQF5+p67evVqufPOO+Xnn3+WZs2ayfnnn69k0AzbQKPpkksuUW3o06dPg4/RVyeffLK8//77UlZWJgMHDpThw4erB6Hly5fLIYccInfddZfk5eWpc4OxwWdm+i3YmMD5qCfGne+Y3DtXB0slARIggdAEKLwcISQQJwQGDx6spOqggw5SNYa8XnHFFfLEE09IcXGxvPfee9KyZUs57LDDJNSMZE1NjXoV/fzzz8ucOXNULC4kqmPHjkpy8f8XXnihkiGIjNvtVqEUEDhI8VdffSXjxo1Tf/eP4Q2Wd+vWrZWEoX6R5Id2hjse8orX/5B31HvLli2KC+S/U6dOSg7BBgKIvMBx6tSpcsABB+whvMYwCNSGUCEN++23n5x22mly1FFHyZgxY+THH38USPKTTz4pXbt2Dck20NDbsWOHDB06VN555536Bw7f49BX++67r9x+++1SXV2t2l5UVKTGBvheddVVqi6jR49WYh+MzZFHHlmfbaRjwjgRHMEUDw9MJEACJGBnAhReO/cO60YCPgQw6wqJgmAhLVu2TK688kp55plnpGnTpnuwMvMK/rjjjpOHHnpI2rdvr6QMQtqzZ0+VzyOPPCKQIEgjZi0vv/xyJY2QYST8P6Qr2KI1/7wh0sZsZaT5hTt+6dKlcu6556pZWKN+CAlA+AfKPeecc+Skk05SEvnll18qMcSsJVKoOFzfNoQSXkjlRRddJB988IGkpaWpfFFuQUGB6p9QbAMN8IULF8q77767x6y0v/D69hUEF2J93nnnqcNefPFF9TCEGd9wbPzLNzsmjPPwhmHNmjWmwmx4MZMACZDA3iRA4d2b9Fk2CURAYMiQIXLHHXfUz/Di1DfffFPmzp2rZtkOP/xwNSublZUVcIZ39uzZ8sILL8j69etVCAQShAWSCyl77LHH1Iwo0owZM1RoA1bhf/jhh4LdIV566aX62k6aNEmys7PrhTdc3o8++mj9an4z+fliCXf8xx9/rGY1U1JS1Iwm/iD16tVLpk2bJpDfTz75RB5++GEVloGQAwiqv/CGakMo4d24caOgfSjHSOCHGFyIaSi2gbofISm9e/dWgh4o+eeH0JQDDzxQha0gIcQFs/AI3QjHJly/BRsTRr04wxvBBcxDSYAE9ioBCu9exc/CScA8Acyq9uvXL2C8JF6D33zzzdK2bVtBrC/keMqUKfW7DyD29swzz1Qzt9hGKjMzUwmVIVehpCzcDGukeYfLz59IuON/++03NeOMEACHw9EA6NatWxUPPBgg9AAz4h06dNhDeBH3G4qPP09fWTYzwxtOHI1K48EFMbmQVsRJRyu8odhE2m++D0FGvRjDa/765ZEkQAJ7lwCFd+/yZ+kkYJoAZhB/+umn+tfHmL1bsWKFei2PWV28RsdqecSPYqYXcodX1JBAvOK++OKL1SIuLDaDUD3wwANqZhKziaGEFxKGkABIHxaCffPNNypm04jhjTTvcPn5Awl3vMfjUWELiMlFvCpmesGmtrZWMUCCmCGfioqKPWaqjZAGMArFx5+nr/D6x/Cij6655ho1S4644khmeL/77jvVJzg3WIpkhjcUG/Bq7JhA3YxdGjDz36JFC9PjmAeSAAmQwN4gQOHdG9RZJgk0gkBVVZVagIV9eDEjiRhbxPQiHhV/xyv8G264Qc0MIp4VuxZs2rRJySled2O/VMxyQo779u0r33//vRKzcMKLqmL1P4R61apVAXdpiCRvM/n54wlXPnYiQB0Qo4uERVuILzZmSd966y256aab1EwwFnMZyTeGN1QbAvH0PRdcEL5g7NKAeFqEQSBFIryoQ0lJyR519GcRifDi3FBsIuk3/xlehJrMmzdP7r///kaMZp5CAiRAAtYSoPBay5ulkUBUBOzyS2tRNYInByVw4oknKoFs166d7Snhl9YmTJigtrhjIgESIAG7E6Dw2r2HWD8SIAESIAESIAESIIGoCFB4o8LHk0mABEiABEiABEiABOxO4P8Byb328ASa2OYAAAAASUVORK5CYII="
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "xpl_lime2000.plot.stability_plot()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [],
   "source": [
    "xpl_lime1000 = SmartExplainer(\n",
    "    model=rf,\n",
    "    preprocessing=encoder  \n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "CPU times: user 10.9 ms, sys: 760 µs, total: 11.7 ms\n",
      "Wall time: 11.6 ms\n"
     ]
    }
   ],
   "source": [
    "%%time\n",
    "xpl_lime1000.compile(\n",
    "    contributions=Lime1000,\n",
    "    x=Xtest[0:100],\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "xpl_lime1000.plot.stability_plot()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The difference in stability is small"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "With this use case, changing num_samples saves computation time and has little impact on explainability.\n",
    "\n",
    "We can look impacts using distance and object Consistency(), as well as comparing stability"
   ]
  }
 ],
 "metadata": {
  "hide_input": false,
  "kernelspec": {
   "display_name": "shapash237",
   "language": "python",
   "name": "shapash237"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.12"
  },
  "toc": {
   "base_numbering": 1,
   "nav_menu": {},
   "number_sections": true,
   "sideBar": true,
   "skip_h1_title": false,
   "title_cell": "Table of Contents",
   "title_sidebar": "Contents",
   "toc_cell": false,
   "toc_position": {},
   "toc_section_display": true,
   "toc_window_display": false
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}