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Created December 15, 2016 14:08
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## KQ3: Pritts Meta-analysis Update\n",
"\n",
"In key question 3, we address the risk of sarcoma dissemination following morcellation of fibroids. We identified a recently published analysis conducted by Elizabeth Pritts and her colleagues (2015) to estimate the prevalence of occult leiomyosarcoma at time of treatment for presumed benign tumors (fibroids). We updated their search and used similar eligibility criteria to identify papers published since 2014. We extracted from these papers the number of women who were treated for uterine fibroids and the cases of leiomyosarcoma subsequently identified. We have combined these data with the data from the 134 publications that Pritts et al included in their analysis for a total of LMS rates from 148 sources."
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"%matplotlib inline\n",
"import numpy as np\n",
"import pandas as pd\n",
"import pymc3 as pm\n",
"import seaborn as sns\n",
"import matplotlib.pyplot as plt\n",
"import pdb\n",
"sns.set()\n",
"\n",
"rseeds = 20090425, 19771114"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/html": [
"<div>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>Author</th>\n",
" <th>Year</th>\n",
" <th>Design</th>\n",
" <th>Procedure</th>\n",
" <th>Indication</th>\n",
" <th>Age, Mean</th>\n",
" <th>Age, SD</th>\n",
" <th>Age, Median</th>\n",
" <th>Age, Min</th>\n",
" <th>Age, Max</th>\n",
" <th>Age, Other</th>\n",
" <th>LMS</th>\n",
" <th>Population</th>\n",
" <th>Tumors</th>\n",
" <th>InPritts</th>\n",
" <th>POSTOP_HP_Done</th>\n",
" </tr>\n",
" <tr>\n",
" <th>Line</th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>1.0</th>\n",
" <td>Adelusola KA, Ogunniyi SO</td>\n",
" <td>2001</td>\n",
" <td>Retrospective</td>\n",
" <td>NE</td>\n",
" <td>NE</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>19.0</td>\n",
" <td>89</td>\n",
" <td>NaN</td>\n",
" <td>0</td>\n",
" <td>177</td>\n",
" <td>0</td>\n",
" <td>1.0</td>\n",
" <td>yes</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2.0</th>\n",
" <td>Ahmed AA, Stachurski J, Abdel Aziz E et al</td>\n",
" <td>2002</td>\n",
" <td>Prospective</td>\n",
" <td>NE</td>\n",
" <td>NE</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>29.0</td>\n",
" <td>65</td>\n",
" <td>NaN</td>\n",
" <td>0</td>\n",
" <td>10</td>\n",
" <td>0</td>\n",
" <td>1.0</td>\n",
" <td>yes</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3.0</th>\n",
" <td>Angle HS, Cohen SM, Hidlebaugh D</td>\n",
" <td>1995</td>\n",
" <td>Retrospective</td>\n",
" <td>NE</td>\n",
" <td>NE</td>\n",
" <td>41.0</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>24.0</td>\n",
" <td>81</td>\n",
" <td>NaN</td>\n",
" <td>0</td>\n",
" <td>41</td>\n",
" <td>0</td>\n",
" <td>1.0</td>\n",
" <td>yes</td>\n",
" </tr>\n",
" <tr>\n",
" <th>4.0</th>\n",
" <td>Banaczek Z, Sikora K, Lewandowska-Andruszuk I</td>\n",
" <td>2004</td>\n",
" <td>Retrospective</td>\n",
" <td>NE</td>\n",
" <td>NE</td>\n",
" <td>44.5</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>29.0</td>\n",
" <td>73</td>\n",
" <td>NaN</td>\n",
" <td>0</td>\n",
" <td>309</td>\n",
" <td>0</td>\n",
" <td>1.0</td>\n",
" <td>yes</td>\n",
" </tr>\n",
" <tr>\n",
" <th>5.0</th>\n",
" <td>Barbieri R, Dilena M, Chumas J, Rein MS, Fried...</td>\n",
" <td>1993</td>\n",
" <td>RCT</td>\n",
" <td>NE</td>\n",
" <td>NE</td>\n",
" <td>33.7</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>36.3</td>\n",
" <td>0</td>\n",
" <td>15</td>\n",
" <td>0</td>\n",
" <td>1.0</td>\n",
" <td>yes</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" Author Year Design \\\n",
"Line \n",
"1.0 Adelusola KA, Ogunniyi SO 2001 Retrospective \n",
"2.0 Ahmed AA, Stachurski J, Abdel Aziz E et al 2002 Prospective \n",
"3.0 Angle HS, Cohen SM, Hidlebaugh D 1995 Retrospective \n",
"4.0 Banaczek Z, Sikora K, Lewandowska-Andruszuk I 2004 Retrospective \n",
"5.0 Barbieri R, Dilena M, Chumas J, Rein MS, Fried... 1993 RCT \n",
"\n",
" Procedure Indication Age, Mean Age, SD Age, Median Age, Min Age, Max \\\n",
"Line \n",
"1.0 NE NE NaN NaN NaN 19.0 89 \n",
"2.0 NE NE NaN NaN NaN 29.0 65 \n",
"3.0 NE NE 41.0 NaN NaN 24.0 81 \n",
"4.0 NE NE 44.5 NaN NaN 29.0 73 \n",
"5.0 NE NE 33.7 NaN NaN NaN NaN \n",
"\n",
" Age, Other LMS Population Tumors InPritts POSTOP_HP_Done \n",
"Line \n",
"1.0 NaN 0 177 0 1.0 yes \n",
"2.0 NaN 0 10 0 1.0 yes \n",
"3.0 NaN 0 41 0 1.0 yes \n",
"4.0 NaN 0 309 0 1.0 yes \n",
"5.0 36.3 0 15 0 1.0 yes "
]
},
"execution_count": 17,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"kq3_data = pd.read_excel('data/Pritts_EPC_KQ3_Includes_Histopathology_SK_12142016.xlsx', \n",
" sheetname='Updated_Pritts_With_EPC_INclude', \n",
" na_values=['NR', 'NA'],\n",
" index_col=0)[['Author', 'Year', 'Design', 'Procedure', 'Indication',\n",
" 'Age, Mean', 'Age, SD', 'Age, Median', 'Age, Min', 'Age, Max', 'Age, Other',\n",
" 'LMS','Population','Tumors','InPritts','POSTOP_HP_Done']].dropna(thresh=7)\n",
"kq3_data.head()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Missing values"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"Author 0\n",
"Year 0\n",
"Design 0\n",
"Procedure 0\n",
"Indication 1\n",
"Age, Mean 72\n",
"Age, SD 150\n",
"Age, Median 151\n",
"Age, Min 65\n",
"Age, Max 66\n",
"Age, Other 128\n",
"LMS 0\n",
"Population 0\n",
"Tumors 0\n",
"InPritts 1\n",
"POSTOP_HP_Done 0\n",
"dtype: int64"
]
},
"execution_count": 18,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"kq3_data.isnull().sum()"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"kq3_data['age_max'] = kq3_data['Age, Max'].replace('50+', 50)\n",
"kq3_data = kq3_data.rename(columns={'Age, Min': 'age_min',\n",
" 'Age, Mean': 'age_mean',\n",
" 'Age, SD': 'age_sd',\n",
" 'Age, Median': 'age_med'})"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/html": [
"<div>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>Year</th>\n",
" <th>age_mean</th>\n",
" <th>age_sd</th>\n",
" <th>age_med</th>\n",
" <th>age_min</th>\n",
" <th>LMS</th>\n",
" <th>Population</th>\n",
" <th>Tumors</th>\n",
" <th>InPritts</th>\n",
" <th>age_max</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>count</th>\n",
" <td>162.000000</td>\n",
" <td>90.000000</td>\n",
" <td>12.000000</td>\n",
" <td>11.000000</td>\n",
" <td>97.00000</td>\n",
" <td>162.000000</td>\n",
" <td>162.000000</td>\n",
" <td>162.000000</td>\n",
" <td>161.000000</td>\n",
" <td>96.000000</td>\n",
" </tr>\n",
" <tr>\n",
" <th>mean</th>\n",
" <td>2005.185185</td>\n",
" <td>41.919222</td>\n",
" <td>7.009167</td>\n",
" <td>41.545455</td>\n",
" <td>26.91134</td>\n",
" <td>2.500000</td>\n",
" <td>975.851852</td>\n",
" <td>2.500000</td>\n",
" <td>0.832298</td>\n",
" <td>61.466667</td>\n",
" </tr>\n",
" <tr>\n",
" <th>std</th>\n",
" <td>7.858391</td>\n",
" <td>6.130203</td>\n",
" <td>2.821758</td>\n",
" <td>5.791954</td>\n",
" <td>6.20752</td>\n",
" <td>13.239903</td>\n",
" <td>3890.629500</td>\n",
" <td>13.239903</td>\n",
" <td>0.374767</td>\n",
" <td>13.430732</td>\n",
" </tr>\n",
" <tr>\n",
" <th>min</th>\n",
" <td>1984.000000</td>\n",
" <td>28.200000</td>\n",
" <td>1.800000</td>\n",
" <td>35.000000</td>\n",
" <td>18.00000</td>\n",
" <td>0.000000</td>\n",
" <td>5.000000</td>\n",
" <td>0.000000</td>\n",
" <td>0.000000</td>\n",
" <td>34.000000</td>\n",
" </tr>\n",
" <tr>\n",
" <th>25%</th>\n",
" <td>1999.000000</td>\n",
" <td>37.310000</td>\n",
" <td>5.925000</td>\n",
" <td>37.450000</td>\n",
" <td>22.00000</td>\n",
" <td>0.000000</td>\n",
" <td>40.250000</td>\n",
" <td>0.000000</td>\n",
" <td>1.000000</td>\n",
" <td>51.000000</td>\n",
" </tr>\n",
" <tr>\n",
" <th>50%</th>\n",
" <td>2006.000000</td>\n",
" <td>42.200000</td>\n",
" <td>6.600000</td>\n",
" <td>40.000000</td>\n",
" <td>26.00000</td>\n",
" <td>0.000000</td>\n",
" <td>92.000000</td>\n",
" <td>0.000000</td>\n",
" <td>1.000000</td>\n",
" <td>60.000000</td>\n",
" </tr>\n",
" <tr>\n",
" <th>75%</th>\n",
" <td>2012.000000</td>\n",
" <td>46.000000</td>\n",
" <td>7.697500</td>\n",
" <td>45.800000</td>\n",
" <td>31.00000</td>\n",
" <td>0.000000</td>\n",
" <td>359.500000</td>\n",
" <td>0.000000</td>\n",
" <td>1.000000</td>\n",
" <td>70.250000</td>\n",
" </tr>\n",
" <tr>\n",
" <th>max</th>\n",
" <td>2016.000000</td>\n",
" <td>59.600000</td>\n",
" <td>12.500000</td>\n",
" <td>52.900000</td>\n",
" <td>44.00000</td>\n",
" <td>115.000000</td>\n",
" <td>34728.000000</td>\n",
" <td>115.000000</td>\n",
" <td>1.000000</td>\n",
" <td>96.000000</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" Year age_mean age_sd age_med age_min LMS \\\n",
"count 162.000000 90.000000 12.000000 11.000000 97.00000 162.000000 \n",
"mean 2005.185185 41.919222 7.009167 41.545455 26.91134 2.500000 \n",
"std 7.858391 6.130203 2.821758 5.791954 6.20752 13.239903 \n",
"min 1984.000000 28.200000 1.800000 35.000000 18.00000 0.000000 \n",
"25% 1999.000000 37.310000 5.925000 37.450000 22.00000 0.000000 \n",
"50% 2006.000000 42.200000 6.600000 40.000000 26.00000 0.000000 \n",
"75% 2012.000000 46.000000 7.697500 45.800000 31.00000 0.000000 \n",
"max 2016.000000 59.600000 12.500000 52.900000 44.00000 115.000000 \n",
"\n",
" Population Tumors InPritts age_max \n",
"count 162.000000 162.000000 161.000000 96.000000 \n",
"mean 975.851852 2.500000 0.832298 61.466667 \n",
"std 3890.629500 13.239903 0.374767 13.430732 \n",
"min 5.000000 0.000000 0.000000 34.000000 \n",
"25% 40.250000 0.000000 1.000000 51.000000 \n",
"50% 92.000000 0.000000 1.000000 60.000000 \n",
"75% 359.500000 0.000000 1.000000 70.250000 \n",
"max 34728.000000 115.000000 1.000000 96.000000 "
]
},
"execution_count": 20,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"kq3_data.describe()"
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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G0aNHMW7cOGzatAmenp461WVpKcnc/XopiUmq2Izxni0tLVCtmvH61pB9Vhn752kxPP5f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\ngg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10a000908>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"kq3_data[[c for c in kq3_data.columns if c.startswith('age')]].hist();"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Breakdown on studies by design."
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"kq3_data['Design'] = kq3_data.Design.str.strip()"
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"Retrospective 95\n",
"Prospective 39\n",
"RCT 27\n",
"prospective 1\n",
"Name: Design, dtype: int64"
]
},
"execution_count": 23,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"kq3_data.Design.value_counts()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Combine prospective and RCT data into a single indicator."
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"kq3_data['Prospective'] = (kq3_data.Design!='Retrospective').astype(int)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Following [Pritts et al. (2015)](http://www.ncbi.nlm.nih.gov/pubmed/26283890), I fit a binomial random effects model, such that event probabilities on the logit scale are normally distributed with mean $\\mu$ and standard deviation $\\sigma$. This distribution describes how the probabilities vary across studies, with the degree of variation described by $\\sigma$.\n",
"\n",
"$$\\theta_i \\sim N(\\mu, \\sigma^2)$$\n",
"\n",
"the expected value for study $i$ is then inverse-logit transformed, and used as the event probability $\\pi_i$ in a binomial model describing the number of observed tumors $t$:\n",
"\n",
"$$\\log\\left[\\frac{\\pi_i}{1-\\pi_i}\\right] = \\theta_i$$\n",
"\n",
"$$t_i \\sim \\text{Bin}(n_i, \\pi_i)$$"
]
},
{
"cell_type": "code",
"execution_count": 25,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"import theano.tensor as tt\n",
"from numpy.ma import masked_values\n",
"\n",
"biopsy_only = True\n",
"\n",
"if biopsy_only:\n",
" model_data = kq3_data[kq3_data.POSTOP_HP_Done=='yes']\n",
"else:\n",
" model_data = kq3_data\n",
"\n",
"k = model_data.shape[0]\n",
"tumors = model_data.Tumors.values.astype(int)\n",
"n = model_data.Population.values.astype(int)\n",
"X = model_data['Prospective'].values.astype(int)\n",
"age_max_norm = ((model_data.age_max - 60)/10).fillna(0.5).values\n",
"\n",
"poly_terms = 3\n",
"\n",
"invlogit = pm.math.invlogit"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"There appears to be no obvious relationship between age (normalized) and tumor rate (though a quadratic model might be worth considering). We will not include age as a covariate in the model."
]
},
{
"cell_type": "code",
"execution_count": 26,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x11714da58>]"
]
},
"execution_count": 26,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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AYBQCLAAAAIxCgAUAAIBRCLAAAAAwCgEWAAAARiHAAgAAwCgEWAAAABiFAAsAAACjEGAB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\nZWVlKi8v16ZNm3psW1NTo9t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EE6qtrdVvfvObZHclLT3zzDNqaGhQRUWFHnvsMS1dujTZ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\n5LIaST0iSgUAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x11663dd68>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.plot(age_max_norm, tumors/n, 'ro', alpha=0.3)"
]
},
{
"cell_type": "code",
"execution_count": 27,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"with pm.Model() as pritts_update:\n",
" \n",
" # Study random effect\n",
" μ = pm.Normal('μ', 0, sd=100, testval=-3)\n",
" σ = pm.Uniform('σ', 0, 1000, testval=10)\n",
" θ = pm.Normal('θ', μ, sd=σ, shape=k)\n",
" # Design effects\n",
" β = pm.Normal('β', 0, sd=10)\n",
" \n",
" # Study-specific probabilities\n",
" π = pm.Deterministic('π', invlogit(θ + β*X))\n",
" \n",
" # Expected probabilities by design\n",
" p_retro_10000 = pm.Deterministic('p_retro_10000', invlogit(μ)*10000)\n",
" p_prosp_10000 = pm.Deterministic('p_prosp_10000', invlogit(μ + β)*10000)\n",
" \n",
" obs = pm.Binomial('obs', n=n, p=π, observed=tumors)"
]
},
{
"cell_type": "code",
"execution_count": 28,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"iterations = 5000\n",
"keep = 2000"
]
},
{
"cell_type": "code",
"execution_count": 29,
"metadata": {
"collapsed": false,
"scrolled": true
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"Auto-assigning NUTS sampler...\n",
"Initializing NUTS using advi...\n",
"Average ELBO = -118.16: 100%|██████████| 200000/200000 [00:27<00:00, 7284.30it/s]\n",
"Finished [100%]: Average ELBO = -119.64\n",
"100%|██████████| 5000/5000 [00:17<00:00, 414.54it/s]\n"
]
}
],
"source": [
"with pritts_update:\n",
" trace = pm.sample(iterations, random_seed=[20140425, 19700903][0])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The following plots are the distribution of samples from the posterior distributions for the expected (population) probability of tumor (`p_update`), the inverse-logit expected probability ($\\mu$) and the standard deviation of the probabilities on the inverse-logit scale ($\\sigma$)."
]
},
{
"cell_type": "code",
"execution_count": 30,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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dxFYSLJnRHxEiARiWw5bPL+ByMQ3ASQi5+fz000946qmnkJiYCIVCAZZlYTKZ\nkJGRgQMHDniVpsFgwOLFi5GXl2dZxjAM5s2bB5FIhAMHDuCRRx7Bs88+a7MOCRyKPdxcVFojdEaT\n1RI6Aog9hmVhZBgAwF/X5JAp9d4lRIdXs+Jp6zEOQGm1Ghev1vgjOz5FwSdCAkChNuDVXWdRdeOt\nxcxxt2B43w5BzlVo6dIuGgum9UWYkA+DicWmfedRdGPAPUIIuVm8+eabWLJkCdauXQuBwDzI6KJF\ni7Bo0SJs377d4/Ty8/Nx3333oaSkxGb5999/j/LycmRlZaFr166YMWMGRo0ahbNnz/pkPwghjql1\nRvxRYNvCm6XgAHHAYLTtjplbLAPHcSHXTTPU8tOSOLo02AWnuPpByl3+MASERPDJYDDghRdewODB\ngzF8+HDs2LGj0d+cPn0a48aNs1v+zjvvYOzYsRg4cCBmz56N/Px8f2SZELdpdEa8tjsbpdUaAED6\niO64k2Z1c+jWznF4Mj0FAj4PWr0JG3Zno6xGE+xsEUJIwOTm5mLMmDF2y++++24UFRV5nN7Jkycx\ndOhQ7N6922bK5lOnTuGOO+5AZGSkZdnmzZsxffp07zJOmob6Xd00quT23ae8nU6dtGxGBwPR5xbJ\nceZyJWrVoTMOVHEFvSwm7gmJ4NO6detw8eJF7Ny5EytWrMDmzZvx9ddfO10/NzcXCxcutLtQf/rp\np3j//fexfPlyfP7550hMTMSjjz4Kvd7LJoqENJHByOD1vedRVKECAEwY0hmThnYJcq5CW98erTB3\nUm/wACg1Rry66yxqFNTPnRByc4iOjkZFRYXd8ry8PMTExHic3syZM7F06VKIRCKb5cXFxWjfvj02\nbNiAESNGYOrUqTh69KjX+fYVlh7CSQvHc9Cnhg574gjroEmcXK0HBw65RTK30+FCtRkM8YnmVLvC\nYGdAq9Vi37592L59O5KSkpCUlIS5c+fio48+wvjx4+3W37VrF7KystC5c2colbZR1gMHDmDOnDkY\nOXIkAGDlypUYPHgwzpw5g6FDhwZkfwipw7Ic3jl0EXnXagEAowck4h+jetgMMEkcG9K7LbR6Ez78\nKhc1Cj1e3ZWN5x9IhVQSHuysEUKIX02ePBlr1qzBmjVrwOPxoFar8cMPP2DVqlWYOHGiz7aj0Wjw\n+eefY+LEiXj77bfx66+/4plnnsGePXvQp08fj9ISCJr2LtN6ynnwAKEwJN6NBpRAwLcph1Atg7q6\nbmqdu0NEPleQAAAgAElEQVRnMEGm1KN1bASEAdheoISFCWyPeQB8Ae+mrvPmcOwHBY9nd6xYc1VW\nAgEPApZvWc9VOva/db/O1TqjTdoCIT8k65DjOFy8KoOJYZHSPd6j8gg0678HQgfl2bA+BQL740Tg\n4TUlENd0IASCTzk5OWAYBv3797csGzhwIN5++22H6584cQJZWVlQKpXYvHmzzXdLly5FYmKi5XPd\nQ37DIBUhgbD72zycuVwJABh0a2s8ML4XBZ48MGpAIjR6E/Z9n4+yGg1e25ON52amIlIc9MsWIYT4\nzcKFC1FWVoapU6cCANLT08FxHEaNGoVFixb5bDsCgQBxcXF4+eWXAQDJyck4ffo0du/ejVdeecWj\ntKTSiCblRSIRWf1bjKjIm+9FA8vnQyKp72YeFycJYm4a19Q6d8ePZ6+B5TiwPD5SerTy+/YCRaFn\nIFMbbZbFxEQiTioOUo7c4886t74GhPqxH0h61rZsGnJVVhKJGGFG82DlsbESrwK47tR5dbHcJo8x\n0oiQrEOZQgcGPPAEAqgNHLq0D04eTQyL3EIZlBoDYiQidOsghVhk+2wTXakBc2Nkp9jYSIjDbb/n\nhwkhkajr14+OgERh2w0zOjo06yHoT3GVlZWIjY2FUFiflYSEBOj1eshkMsTFxdmsXxdw2r9/v11a\nqampNp/37NkDhmEwcOBAP+ScEOe+PlWMb04XAwB6dozBo5N7g0+BJ49NvKML1DojjvxahKJyFTbt\nO4fFM/pDFCYIdtYIIcQvwsLCsGHDBixYsACXLl0Cy7Lo1asXevbs6dPttG7dGvwGb0q7deuGy5cv\ne5yWQqEF42BsEnfpdQaYGHPHgcpqFYx65w9bLVWtUg+1un6YCJlM7WLt4BEI+JBKI5pc5+5Qqsxd\n7tVqPRLj/R/sChSVUmdT14C5vnk3ZjULNYGo8+Zw7AdDjUxtd6xYc1VWarXOMmC5TKb2KPjkSZ3L\nazU2eVQotJCJQu8+vUZRf97VyNSQioOTxyvXa1Feo72RDw3Uah0iRELES0WWIJNKpYP6xphecrnG\n7rlHqTHYlHnDOgAApZDn0blUV+f+FvTgk1arRXi47Ruuus8Gg/cDqZ07dw5ZWVmYO3cuEhISmpRH\nQjxxOqcCu4/9BQBoGx95Ywa30LsINxf/GNkDWp0J32dfx18ltfjP/j/w9LTbWlQTfEIIaahLly7o\n0sV/YwT2798fW7duBcdxlla5+fn5Ni3I3cUwLExNmO2IZTkwrPn3JlPT0mquTCbWUgZ1n0NZU+vc\nrW00o/LwhPXxXqc5HPf+rPOWWtdNZTSydseKNVdlxTC211VvBgZyp87trl0MF5J1aFMeAbh+OaNQ\nGWzKq7TaHCC6WsrD7cltAZjL3ZJXIwtBgwYM1vsCOD5OgrmPrgQ9+CQSieyCTHWfIyK8i76dPXsW\n8+bNw8iRI7FgwYIm55EQd+WV1GLb4YvgAERHhmHRff0QFREW7Gw1azweDw+OvxUavQknL1XgwpVq\nbDt0EfPu6R3S/bUJIcQbSUlJLrtoX7p0ySfb+fvf/47//Oc/WLlyJebMmYMff/wRP/74I/bt2+eT\n9L1FAy+Tlo7Ptz+/aaB94ggdFS2PszptyjXA0cD0oSrowae2bdtCLpeDZVlL8++qqiqIxWJIpVKP\n0/vtt98wf/58DB8+HBs2bPB1dglxqrxGgzc+Ow+jiUW4kI9n/tEPbWJbTjPxYOLzeZg7qTe0egYX\nrlTjVE4FeDzg0ckUgCKEtCx1A43XMZlMuHr1Kg4cOIDnnnuuSWlbpxsVFYX33nsPK1euxOTJk9Gh\nQwe8/vrrSEpKatI2iHcazuBMbjJU/SGrqlYLHnhIiAnCmFyNXBesW66S5sHTS707MxU2p+B10INP\nycnJEAqFyM7OtozZdPr0aaSkpHic1uXLl/HEE09g1KhR2LBhg91YBoT4i0JjwMY956DSGsHjAY9N\n6YPuHTwPnhLnhAI+nkhPwRv7zuNSoQwnL1WA40AtoAghLcq9997rcHlKSgr27t2LKVOmeJ12w1ZT\nPXr0wM6dO71Ozx8oCENaPAfHeOh1jiEAoNIaLbNWi0UJkIgD05tBqzcBaDwmyXGAO7Enf15Wm8sV\n27qcgvlnxh9/4ximudQC4NUT2/Tp07Fr1y6fzCInFosxZcoUrFixAhcuXMDRo0exY8cOzJo1C4C5\nFZRe73ygNWvLly9Hhw4d8Pzzz6OmpgZVVVUe/Z4Qb+iNDN7Ydx4VcvPgcfeP64UBt7QOcq5aJlGY\nAAv+0RfJXcwTEZzKqcA7By+67A9PCCEtQd++ffH7778HOxuEkCZy9JhIQdd6oVQWSk390DAqjdHF\nmr6jNzI4l1+Fc/lV0BtdD0LfnFq8BFuotA/ztMbcqWK5yj7WEaqHhlfBpzvuuANbt25FWloaFi9e\njBMnTjTpQpGRkYGUlBTMmjULq1atwjPPPINx48YBANLS0nDkyJFG06iqqsK5c+eQl5eHUaNGYfjw\n4Zb/3Pk9Id5gWQ7bDl3ElesKAMDdt3fG2IEdg5yrlq0uANW7a30A6u2DF2Hy86w7hBASLGq1Gh99\n9BFatWo5080TW6H6oBAMeSW1OJdXFexs+I+Duqb6r6fSBibI46lAVVGNQmf5t0zhugEFHTfNjz+C\nq6Zm9BLeq253S5YsweLFi/Hzzz/jwIEDePrppyGVSjF16lRMnToV3bp18yg9sViMzMxMZGZm2n2X\nk5Pj8Dfp6elIT0+3fG7VqpXPBuEkxF17v8/DmcuVAIBBSW3wj9E9gpyjm4MoTIAF0/rijc/O4+JV\nGU7nVAAA5k3uTbPgEUKaNWcDjvN4PLz88stByJH3lBoDatUGtIuPpGtzI0L1gTvQ9EYGVQptsLPh\nV9TyybU/r9bgjt7tgp2NZsH9lk8B7HcXqsdyqIyNFaLFEyhej/nE4/EwbNgwDBs2DFqtFjt37sR/\n/vMfvPPOO0hNTcWsWbMwfvx4X+aVkJDy3ZkSfHWyGADQMzEGj05KBj9ULmw3gXAHASiTicX8KX0Q\nHiYIdvYIIcQrDQccB4CwsDD069cPnTp18jpdg8GAadOmYfny5Rg8eLDNdyqVChMnTsTixYsxdepU\nr7fR0J9XawAAOj2Dnh1j3PpNqD63+FtpjTrYWQgNN0H9Owo03azHfXMSqACh9cRljT1WhGLQMvRy\nZC+YxebWxHSNVHwo1ru7mjTgeEVFBQ4ePIiDBw/i8uXLSE1NRXp6OsrKyvDSSy/h1KlTePHFF32V\nV0JCxvn8Knz0zWUAQOtYMZ6adhvChBTwCLS6ANSbn53Hn1dlyM6rwobd2Vjwj74BGxSSEEJ8ydmA\n401hMBiwePFi5OXlOfw+KysLlZWVPt9unSqFFj3hXvCJ3Nxuhnd4jp4bm/PDZEsWjJnkbI8F19sP\nyd5WATqUWZYDn88Dx5nng2s+DQA8KyB/XxpYlkOt2oA4qci/G7rBq+DTF198gS+++AK//fYb4uPj\nMXXqVLzxxhvo2rWrZZ327dtj9erVFHwiLU5RuRJvffEnOA6QiIVYOL0fpJHhwc7WTSv8xhhQ2w5d\nxOncSvxVUou1H5/B4vv6Iy46MBdSQghpis2bN7u97lNPPeVR2vn5+ViyZInT70+fPo3ffvstZMaT\nqptW2sSwqFHoEBslotaspMVgWQ5FFfYTNslUeiS2jgpCjkio4Txp+eRmIKOxAEa5TAOZQo9u7aUQ\nhXt2vXU3D76k0Znw59UaSMRCGE0sTAyHfj0TXHbvti7KYOTZsu0AbVpnMMHEsI12eS8sV6JcpoFU\nIsLIVtF+z5dXwacXX3wRo0ePxpYtWzBixAjwHUxz3r17dzz44INNziAhoaRGocOmfeehNzAQ8Hl4\n6t7b0D5BEuxs3fTChALMn5KCj7+5jO/OXsO1SjXW7PwdC+/rh8RWVD+EkND2+eefu7Uej8fzOPh0\n8uRJDB06FAsXLkS/fv1svjMYDFi+fDlWrFiBl156yaN0/S2vpBZytR6iMAHNIBtCWJZDpUwL1sSA\n74f5o1p6+5/SGo3D5SqtEdW1OiTEiAOcI+JKMNrSWLd8amz77gYydEbGZRC/oNQ8cdKVUoVlRml3\nFJUrUW01QDoQmHO4oEwBhmWhsJqNsLRag05tQj+A63n5eFeiGr0JZ/+qwqBbW7tswVcuM1+T1AEa\nd9Cr4NMPP/yAuLg4yOVyS+Dp/Pnz6NOnDwQC84GdmpqK1NRU3+WUkCDT6k3YtO88ZErzzBOPTEzG\nrZ3dv0AT/+LzeXhwfC/ESMJx4EQBqhU6rP7wNOZP6YO+PULjjT4hhDjy7bff+i3tmTNnOv1u69at\n6NOnD/72t7/5bfseu3GfLVeb/9Y2NtV4SxEdEQ6l1vwgFebjwdn1BgbXqtRoFSOGVNK0ltpXy5RQ\n6RkYDUb088ff1hYefTKanB/PpdVqCj4ReNDrzu0Bx/NKapHay3EQn7UahEij8ywAcb3afqy6QHQh\n5RwMnNTodm2bPgWNL8rH3RQYloXByHrcms2fvAo+qVQqzJw5E2PHjsVzzz0HAJg3bx5atWqFbdu2\noX379h6lZzAYsHLlSnzzzTcQi8V45JFHMHv2bJe/OX36NJ5//nkcPXrUZvnhw4exadMmVFZWIi0t\nDatWrUJcHAUISNMwLIu3D/6J4goVAGBqWjcMTaGZOEINj8fDPWndEBstws6vcqEzMNi09zymj+6J\nu27vFJS++4QQ4gsGgwEXLlzAwIEDfZJeXl4e9uzZg4MHDzY5LYGTYInAqmW8UGi7jsHIoEKuRYJU\nDD6fBwHHt6QlFPJd/rYlCgvjQ6A37yf/Rhn4yoWCauj0DKoVuibfu1TKtYiICIeJ4fxSLyaWtan7\nOi3lGBAI+A73DwD4Al5I7mfd+e3sPPfJNhqUSaiUg/W1SODj89IZvoBn2aZQwIeJcR5qELrIk0DA\ng4A1f8ewzs9Xg5GxbC88XGDeZzfr3NGxHIhyavg3wp3tCq3OvWCea3w+DzzO8fNIXZ4EVseAo/0S\nuriO2KUZ5rpcLGXCD8wzklfBpzVr1qBLly42AaIvv/wSS5cuRWZmJt544w2P0lu3bh0uXryInTt3\noqSkBEuXLkViYqLT2fJyc3OxcOFCiES247mcP38eL730El555RUkJSVh1apVyMjIwNatWz3fSUJu\n4DgOnxz9C+fzqwEAf0tph8nDugY3U8SlEf06oE1sBLbsvwC1zoQ93+XhWpUKD42/lcYOIYSEtD/+\n+APLli3D5cuXwToYTfbSpUs+2c6yZcuwYMECxMfHNzktqTTCbhnHcZBI6u/TYmIibW5uz+RUQKkx\nQqFlIIkSw2Qy76s0JgJxcRKb38bFtfzu01FVGphuPJAIhXyf7rNAKINEaL7lb2q6ERHhlv/7o140\nOqNN3ddpKcdAtdoIpc5x66eoyLCQ3k9H57mvNKzzQJRD3YDVrmgZDpJacytMvlAYkHxVKg2Q3DhG\nIkRCCPQmp+vGxEQi1sn4phKJGGFWLUcd5Z3jOBSVKS3l3/AYdFXnLMs5PFejo8V+LyepVAOWZxtQ\naWy7/DAhJBJzSy1pdETQzrXISOfj0dblSVqttfw9iI2NRFSDsYWt96UxsbGREIc7D/k4qkN/8ir4\ndPr0aezZswetW9c334uPj8dzzz2HBx54wKO0tFot9u3bh+3btyMpKQlJSUmYO3cuPvroI4fBp127\ndiErKwudO3eGUmk7YN/HH3+MCRMm4J577gEArF+/HqNHj8a1a9eQmJjoxZ4SAnz5ayG+O3MNAJDU\nORYPT0iiFjTNQFKXOCx7eDDe2Hce16vU+OlCGYrKVXhiagraxkcGO3uEEOJQZmYmBAIBXnrpJWRm\nZuL5559HUVERPv74Y2RlZflkG9evX8fZs2eRm5uLzMxMAIBOp8OKFSvw5Zdf4p133vEoPYVCC4ax\nDZSxLAf1ja5zACCTqW0e9Moq6+/hhAKe5e1+ba0GIj7sftvSKRRaqDXmLi9CAc+n++zLstRqDYiI\nCIdWa/BLvWj1Jpv81vH3McByHBiGQ5ifW0MolVqH+wcAHMOE5LEuEPAhlUY4PM99pWGZ+LscLhfL\nIVPqkdItHpII57MjK2rr66tArUe7WP8/qCsU9ds0GU3QG5x31ZTL1eBMjoNTarUOBmN9fTkq09Jq\nNa6W1l+LeSwLmUztVp2bGNbhsaxQCCCT+XfGabVKB7XaYLMst0APqVjgdIBtpcZgya9C6NtrbB2D\nkUFZjQatYiIQKXYcZnF2/gP1dWS+Tpj3TybXwKi37Q6pUBtcpmNNLtdA5OTFO8fV/50O6ZZPQqEQ\nCoXCbrlWq/W4H2NOTg4YhkH//v0tywYOHIi3337b4fonTpxAVlYWlEql3eww2dnZeOyxxyyf27Vr\nh/bt2+PcuXMUfCJeOZ59DZ8dvwIAaJ8QiSfvva3RWQNI6GgTG4EXHxqIbYcuIjuvCsUVKrz8/ik8\nPCEJtye3DXb2CCHEzsWLF/HBBx+gb9+++Pzzz9GrVy/cf//9aNeuHfbs2YMJEyY0eRvt2rXDN998\nY7PswQcfxKxZszBp0iSP02MY1tJyqY6JYcFYtdwyGBmbv5/W3/HAt3w2mcxpWX/fMO2WyLq8eOD7\ndJ99WZZ148OwLOeXemlY99bL/el8fjW0ehNu657g9KHRFxgT53D/AIBh/FOmdbR6E/g8ntfjvzg6\nz71hYlgoNUbESMItD7wNy8R6O3KVHtdvjFlWLtMiXipu8mQyFTcGWT77VyVuT2rr9MGbYQJ/LTJa\nnQOMief0eKnLj8nEorRaDY4DOliVC8PYHmsardGu9X9JucpmHYa1rWNXda7SGh3mzd/HMWC+/jja\ntkyhdzrTtXV5+CuPfxbUQK0zoqhciTt6O+7i3Fh9NsxrXR03XM9VOjbbM7EwOWk0YTAyVukE5vnW\nq62MGDEC//73v1FUVGRZVlxcjMzMTAwfPtyjtCorKxEbGwuhsP5Cn5CQAL1eD5lMZrf+5s2bMW7c\nOKdptWnTxmZZq1atUFZW5lGeCAGA33Mr8OFXuQCAeKkIS2b0h0Ts30g+8b0IkRBPT7sN943uCT6P\nB52BwdYv/sTOr3NdDvxJCCHBwLKspWV5ly5dcPnyZQDA2LFjkZOT45Nt8Pl8dOrUyeY/gUCA+Ph4\nu/soXwnU9NLWrlWpkVdS2ywGLQ9G+YSiYJSD3shAozeCA4erZfYv133JdcN5/+28Vm/CufwqnM2r\nhMlPrZfc9VdJLXKLZZYZ1hwps5oVMKdIBoXGgCulCqh1RhRXKJ3+rjEcx9ltt+FsbcFm3ZDDnSNC\noTGgsFyJogolalXOW8NcvGr/XN0U1ypVDpdzDXJdWq3GH1fMwV1f8aaVTiAGQld7OGB7sLk7YL0v\neRV8Wrp0KQwGA+666y4MGTIEQ4YMwfjx42E0GpGRkeFRWlqtFuHhtv0Y6z4bDAZHP3FKp9M5TMvT\ndAi5VCjD2wf/BMcBURFhWDKjP+KlNANJc8Xj8XD3kM54/oFUyxuR785cw5qdZyxvvwghJBR06dIF\nv//+OwCge/fuuHDhAgBAqVQ2+X7GVZdxX3cnt7/Rd+8m11e3wgYjg+IKJaoUWlyrDL2uTHWKypX4\nq0QOxsHsTTcnx+Xgz4BJw0mwGJYNSsDSn8fA5WK55d8KdXCfi2pvdPOprNU6XacuCOjrgEGNQm+Z\nWr6OiWFxrUoNpSY0nhetd7mx/ecAm6COWuc8wKMz1n+n1Ztw5nIl9H54CduwQU5huRIqndHmGGwq\nnpNpAN09XlTa5hMkcrRPnpwVrtYNRrDfq3alCQkJ2L9/P37++Wf89ddfEAqF6NmzJ4YOHerxzYtI\nJLK7mar7HBHh2cB2ztISiyloQNxXWKbEm5+dh4nhIAoTYOH0fmifELoDQBL39ewYg5WzB+Pdw5dw\n4Uo1CsuVWLHjFGaOvQXD+7ansbwIIUH30EMP4cUXXwQA3HXXXZgyZQrEYjHOnDljM0SBN1wNVn7s\n2LEmpd1Qw5vaQN/kWj/Ih8pDZUNavcnhVOU3M2eHSa3KgIQY/9zP8xpEny5cqYHOYO6C5+sW7w3P\ng/hoMWqU5pY3/gp4GU0stAbftToJJF8H5HQOyqG4QmVpAWLXVSpA94UypTkgFxctsm351Mjue3td\nLZdpYGhi4EkiDoPMQUurCrkG3TtI7Zb78hh0Vi2sm8eLdSCOBJbXnZoFAgGGDx/ucTe7htq2bQu5\nXA6WZcG/MdVfVVUVxGIxpFL7A9eVNm3aoKqqymZZVVWV35qQk5anrEaD1/ZkQ2dgIODz8NS9tzm8\ngJLmKzoyHM9M74v//VaEz49fgd7A4P0jOThzuRIPT0hCbFRgZ30ghBBr06dPR2xsLOLi4tCjRw9k\nZmZi27ZtaN++PZYtWxbs7LnN6+CTj541m0M3Nl88WLMsB5lSD6kkDGFC2/FcNDojCssdd40JVc7q\nLVDdQ4wMawlQXLmuwG3dE3ySrkJjwOUiOUwNmoV0ahNlCT7xeTy3ZmDzVGkzDnC6G0xwl6PDyOWx\n1cTjTm9kUF2rQ0KM2OmgzxqdEbnF5i5xt3VP8Nm1y1U6dRM8OP4dh+paHUQR4U7XAVyXm9HE+nfw\nfmfBJ/9t0SdcdYt0psmHA2d+0WFiWERbzZqn0hqD0u3Oq+BTZWUlXn/9dZw5cwZGo9GuOZgnb8+S\nk5MhFAqRnZ2N1NRUAObZ9FJSUjzOV//+/fH7779j6tSpAIDS0lKUlZWhX79+HqdFbj5Vci027DoL\npcYIHoBHJ/dGn25Nn4KahB4+j4eJd3RBcpc4vHv4IkqrNTifX41l7/6Gh+66lQYjJ4QEzS+//II7\n77zT8nny5MmYPHlyEHPknYbjfri6ybX+zne3wqEffXL29t6TnBeUKVAp10IkFGBAr9Y23128KrML\ndjRX1mXCchwKy5QQhwt83zLdakPWM4U1VaVc67AuIkRCtI+XoLRGDZbjcCqnAj06SNEq1rPeH3VM\nDBvSE+O4O0hy/fqOzwaO47xqre7pVaGkiV12L12VQWc0oUKuRf+erRyuo9TUdwFTqA02z9WNBQf8\nMY5RhUyLogoVrtVo0bdbnNP1XOVNb2T8GnzypttdKPxFuFTko3G3PKh3E8viwpVqAECfrvGIjgxH\nabUaheXej53WFF4Fn5YtW4Y//vgDf//73xEdHd2kDIjFYkyZMgUrVqzAmjVrUF5ejh07dmDt2rUA\nzC2XoqOjIRI13hph5syZ+Ne//oV+/fohJSUFa9aswejRo2mmO9Koqlotsj49i2qFOSL9wPheFIC4\nCXRrL8WKhwfjs+NX8M3pYqh1Jmz94k+cuVyJB8ffiigX0+8SQog/PPLII2jfvj2mTp2K9PR0dOrU\nKdhZ8oqre2NDAMbT8eRBo1ZtQLiQjwiR/2Y5c8TZA5QnKuXmcXP0JgYanRGRVt3EWkrgCYDNAVVe\no7GM2xMXLYI4vGn1Zn2sWj9QexoocUWlcT7GTISovkUMBw5512u9Cj4VV6hwrUqFbu2laBsX6XS9\nYLYKrFV51gXWWYCDg9PGLy55EqyRKfU2XdO86YJZ173LUXc/ZxgPgk+uefFbDiitrh8Ty+VLAxen\nh7/HsGtqt7tA+D23Eh1bS9A23vm56EzDrsBNobYa36pCrkV0ZLjNgP6B5tXV+tdff8W7776LQYMG\n+SQTGRkZePnllzFr1ixER0fjmWeescxol5aWhrVr11paM7nSv39/vPLKK9i0aRNqa2uRlpaGVatW\n+SSPpOWqUeiQ9clZVNWamz3PGNMTY1I7BjlXJFDCwwSYOe4WDLilFbb/9xKqFTqcvFSB3CI5/nX3\nrRhwS+vGEyGEEB85duwYDh48iMOHD+Ott95Camoq0tPTMWHCBEgk3rfyMBgMmDZtGpYvX47BgwcD\nALKzs7F27Vrk5uaiXbt2eOSRRzB9+nSf7IerbncNu3x4MsAuYO7ScfavSrAch0G3tnHY0sPdZzaZ\nUm/p8nJ7clvwQ3zsP5bjwOfxwHGc3YPh+SvV6Ns9wSYA5YhWb4LRxEIqcd2txhManQlCAc9uKndP\nOat/66XWgyobTSzEjeyGzmCCweh8f63T9kdLEhPDOmylEyYwl5WA75sWIteqzF0sC0oVLoNPTaXW\nGfFXcS1axYjRsU2UR79t2KUwt0gGgYuWWnJnwSovo0/uVm9JpQolTmZzawqW5VAu0yA6MtzpC05f\nDYbtal+rXAz2zucDuBFzaxjMqZRrwXIc2sZFutVd0ZcBXLXOCIXagDZxEc5bjYZO7AlGhkFBmcKr\n4JMvWRdJ3QsPX7bq9JRXwafIyEgkJPimDzRgbv2UmZmJzMxMu++cTSucnp6O9PR0u+VTp051K1BF\nCGC+6bQOPE0f3QN33d45yLkiwZDUJQ6vzLkdu479hR/Pl6JWbcCbn13A0D7tcP+dt/h80FFCCHGk\nQ4cOmD9/PubPn4+LFy/i0KFD2LJlC1avXo3x48dj3bp1HqdpMBiwePFi5OXlWZZVVVVh3rx5uP/+\n+5GVlYU//vgDGRkZaNOmDUaOHNnk/WjY7c72s6vvGldYrrQ8+OQUyZDSzf6e1PrhioO5tYzBxKJj\na4lNIMB6PByjiXU6Lot/OO9S5EhRuRJlNRrc0jEWReVKGE32DxAVci26tnP+94phWZzLN4+Pmtwl\nHjE+CECptEb8UWDu1nF7UtsmjVnk9Ehw8kVjRw7LccjOM+/vrZ3iLDPeOkvE1w+vMqUel4vlDo/x\n3l3NXZqEgqYFPE0Miz8Lapx+7+vJVHKL5DCYGJRUqTwOPjXMiaMBq60VVzjuGsRyHPg+aDnojD8C\nTwBwrUptCRLaDW4OwNOGOxzXIHjflMzdYH28WJezRmdC/vVaAEC4UOAygFWXj4JS33Xtqus6ptWb\nx+V1uF2XATGfZSWgmppt6yKpq1pP/+b6kleh9ilTpuDdd98FwwR+GlJCfKVSrsXaj39HxY0m69NG\ndjU8p7oAACAASURBVMeEIV2CnCsSTBEiIWZPTMbC6f0QG2W+If/lzzK89O5vlptXQggJlN69e2PS\npEmYNGkS+Hy+VzPS5efn47777kNJSYnN8qNHj6J169ZYuHAhOnfujIkTJ2LKlCk4fPiwT/LuquVT\nU3tG6KymFldp7cce1epNNt0KdAYTCsoUuFalQuWNl006gwkFpQporFrRBLrLhqdbu15tHhcot1gG\nrcHksFtdY8EzvaH+3r2sWg2W5VBQqmhSN4zrVfUBPE+6FznkRpDJk5CD0eoNf5mTgbetH8R8PQBv\nbrHM4YNelDjM0s2zqQOMl9VoPJpJrKmtu5oyS5pHU8S7Gr/Hy11oykO3Lw6NCln9eeZo/zztksyB\ns03HB+PnWbf+VKjrW2FZn9t1rUWdySmSIf96rV2ASu7FgNsNVcg1TusxlFo++ZOvzqNg8Krlk1wu\nx+HDh/H999+jU6dOCA+3fWvy4Ycf+iRzhPhLabUar+7Ktkxtmj6iO/4+tGtwM0VCRt8eCfj33CH4\n9Nhf+OlCGWpVBryx7zyGpbTDzHG3NNqlgRBCmqK4uBiHDh3CoUOHUFhYiCFDhmD58uW46667PE7r\n5MmTGDp0KBYuXGgzAcuIESPQu3dvu/WVSt+8qW54w+vPG2ATwyFMWP/A5GrKerXWCMRGoOC6ArUa\n2y49gb5J98fmGm/lYt2qwXw/VDd+Uny0yKtuc9bl1pRWNiznPDTgrG4uF8nRvYMU8VKx4995+Ahu\nHXxiOQ41Cp3TtJvEqpiaOkA442LmMkd0huA1HvDkmG9kqG2/bN/1QOZNP2Gt02ZYzq7Vm4nxvDuU\ndcyctYlDeZdf693PK5Fj0K3mWeNdHadtYiNRIbcNYNeNR2ctp0iGIcltfd4ar46j4LHeyOCvYnmT\nX3oEgtHEQKU12R6nIRY8aiqvR+ibNGmSL/NBSMAUlimxYXe2pU/1P8fegvGDm+eArsR/IsVhmPP3\n3hh4axt88L8c1KoM+OmPMlwslGHW3Uno28N3XY8JIaTOfffdhwsXLqBjx46WQcc7dOjgdXozZ850\nuLxDhw426VZXV+PLL7/EggULvN6WNdctn3zboqG4QoXuHaQe5ath4AkATM3h6aQRjT3SNWzlYz1+\nkolhvQo++aLYZEo9/iqRuzd4uNVOmlgWl0vkDrsw2f/OWVcd5z+5XCLHgFta+747ptU2nXUhcj8p\n1xXQMHWlj8YU8obRk+CKi93SG82z+nkaxGg0+ATn55An1yajiXU4m5h12izLAQ0OK49bX3K2QaZK\nuRadGukK2VjrPuvBwq1XddZCL0YiQvcOUrvgkzMc53zAcGdq1Q1fFDhPu6Gyag1UuuAd884Cmq2k\nEahS2AbozufXwOjjnmXWh1QoDGnoVfDJ0dhMhDQHl4vl2LTvHLR6BjwAsyYkYUQ/72/qScvXv2cr\n9JwzBJ8evYxf/iyHTKnH63vPIa1ve/xzzC2IFAd2diRCSMvWo0cPPPvss5ZBwQNBr9fj6aefRps2\nbTBjxgyfpNnwGYBz9aV7XzlVIdfYBJ9cj4PravamQLd8Cnywy+bB0sHDr1es9sPbAduvXK8Fy3HQ\n6B0/JHKcuTtlUbnSZmr6QPDHWGB6q+6AgiaO+dToYdQg+aYGu7zFshyu3BgzyB2ugmp/FFQjRiJC\ncpe4xtNx2ZrJbqNOo0+enK0FpQrUKHV2y63zoTMydsFeT69BXIOMudMlsrHrjihMYGkdZ32P66vr\nlTfjdV0qdD6mWcO0G/L3zHvW+DyeXR7qgm0Nl/McNCRzFHhylHuPWhBa7b8vZlhtKq+fmioqKrBn\nzx4UFBTghRdewKlTp9CrVy90797dl/kjxGdOXirHu4cvwsRwEPB5eHRyb9ye3DbY2SLNQFREGB6d\n3AeDbm2DD77KhUJtwInzpfizoAazJyY5HOyWEEK8EegXfBqNBo8//jiKiorw6aefQiRyMCBzIxzN\nViXg82xm8RIIeBAKzZ/5Ap7TGb6EN9az/r7ud3X4Ar7d74VCPirl2huznwmcps93kH4dHo8HDubB\nyuOiRe61wmkCgYP9MOfDfp8B92ZFEwj5lt86Wp9vVS9CIR8Cq7qw/q0zda0f+Pz6+uTxrdPgNZqG\nIzye82MCMB8/eddqLQ/FjurfESFbX8bWx6BN2ibH9VAnLKzxcnFEZzA5TZflOEuaQjg+nt3l6Diy\n/r2wwfcCgWf7U3d+CwR8mBjW5bnpikJt8GhmP2fnRx2V1tjo9tVaIy5erUFCjBjdO8RAKHR9nJlY\nDpFOrh8CvvvHtlpndFgnAiEPAsa8PLdIjqEp7SCwuh7x+K7zZ5cnAc/uemq5zvJ54HG2wQahkA8w\nzq8lfAEf0ZJwS+u4OKm4/nripD4ELq6pjvPs+fnUMG2+k3LiO6gjZ3nz5pxuTHRkuN1shXwBD0IB\nH6XVapt8xEaJUKNofAwsoYPy8qS8rY8pE8s5/W1Tx55zl1d/VQsLC3HfffchKioK5eXlWLhwIb78\n8ktkZGTg/ffftxlTgJBg4zgO//utCHu/zwdgjug/PjWFuk0Rjw3o1Rq3dIrFJ99cxq8Xza2gXtt9\nDiP6dcCMMT0tg4cSQkhzoFKpMHfuXJSUlOCDDz5Ap07edUGXSiPslrF8PiQSjc06cTHm9TiBwOY7\na9HSCMTFSSCR1AfB4uIktutEqW/MB15PHClCaYF5ENy2CZE2v7f9rX36dVQGBmqjDnKlATVqI9L6\nJTpMw1d4QiEkEvtBsPk8nt0+A3C6T9ZibpSfs/Wl0ghL2UujRBAK+dDfeNkeGxOJqEjXs99FRIRb\n/l+3nagoNdgbr/FjYyVe/S2MjhY7nL3P8r00AtUqIyRhjtN2VF6AubWURKK8sQ2Rw/XCtUaXZetO\nuTSk0RlxvkDmMl3rvDRcr2E+WZZz2i0yWmmASm/bYsL69wodA4nVwNHR0WKn5eVKjdqIwlKFy3PT\nJYHArWO4Tmys4/PUWmPbzykphUgcDpWeRVyc5EZZOT/O8kqVuOO29g63KwoXuL2/kigxTA2OZ1FE\nOARCISTC+mM4Lk4CrYmDpNYchIiICLOcS//P3nnHyU3e+f+jMr1v9+563fsalzUEfpjkACcQkmCw\nYwgkwFECpuRHQjfFNsRgEwzJJZgSirkYYoopOZsAwdxduNzPxLixBq97XZf1lmk7fST9/pidGUkj\naaQpu2vQ+/VywmoePU2PHun71beoweWywhBNwhZOCo6RJAGrNXcMHo8N8QQjvz9ajXA4TLD0rRer\nNXufy+1X6ftK7bV1ua2aLQnFdYfirGR7dnvu2nb25t4fgMa1qxKXMwxOrCgz0PC4LDjcFc702Wkz\norbGgQ5/fuWT05V9dqYRP1+VsNvNsEVS6yPGcDBZjJruw1JTkKS0bNkyzJo1C0uWLMH06dMBAE89\n9RTuvfdeLF++HKtWrdJUXzwex+LFi/Hxxx/DbDbjuuuuw7XXXitZdseOHVi8eDF2796NMWPGYPHi\nxZg0aVLm9z/84Q9Ys2YNIpEIzj77bDz00EOoqKgoZJg6XwMYlsWfP96D/9p6FADgshnxy3lTMKzO\nMcA90zlVsVsMuPHiSWgZV4NVH+1EIJzAp18cw1cHuvGvF03ApOH6fqOjozP44TgOt912G44ePYpX\nX30Vw4cPL7iuQCACRhTLxReIIhTKvlj7fGGQfdnZvKLfBHX5I/CaKMHvXq9Q4An2RlOBw3mcOBnI\nnNMeTyCekBYwAzSB7u5eyfbFx8Ttlhp/b0yyHwQh3bbcnAnqDERg6Qu+LlW+xxvOHKcJDhRJZv72\n+cJIyLi9pYlE4rBYjIhE4pk+BoLZ6+H1hhAtQPnUG4rlCOt8Av6I4vjlrlUklhSMV3JeownFunu8\nobzzImb/sUDe68XvS76117qvC+FoEs0jK2G3CJOeBIO5c8M/PyD63UhqW9sURcLptGDn/q4ctzAt\n9Rw8kX9OxHVrmUMpfP5wxkXJ6w1JzpWYA4d7JMsk4qRsexyXyhoJACPrXQj1RpEUBYLfsbdT8jr5\nA9k+MckkohKKEjmOngiAJIXrZ+f+TjitRskxeL0hxBKM/BywLCiwmft832EvqvqyP8vtV+n7Su21\n7enp1WxVqrZuP03kXKNAQPqal2N/7+2NIiSKT/XP1mM4q7kO4VB2/qwGMu+elob/7MwcU3iG5pxv\nJAVl24/5Jc8d1JZPW7ZswWuvvSbwW6VpGrfccgsuu+wyzfU9/vjj2LFjB1atWoX29nbce++9aGho\nwPe+9z1BuUgkghtvvBGzZ8/GsmXLsHr1atx0001Yv349zGYzXn/9dbzzzjt48skn4Xa7sWjRIjz0\n0ENYsWJFIcPUOcUJhOJ47i9fYudhHwCgvsqGX847DVWu3C+0OjpaaRlXjbFDXXjt493Y2HYS3YEY\nnnx9G/5laj3mnatbQeno6Axu3nrrLWzcuBHPPvss7HY7urq6AAAGgwEul0tTXQzD5igOEgkWDO+F\nOZnMlkkmhb/xSfbVJT5X3J74fIbhMscSCcjXn2Sx/5hf9ndx2XKSkJkHAoRk22r6nEgwmXOlyicS\nTOY4x3JguGwfkhLXUUxa+cCynOT1TCZZJKkCMnZJXFM+Smsm/Xu+81iGkyyXr+5EMv+8iGFZ5TrT\n7aYRl+X/lmRYBPoE2j1HfJg8slJUllM8nxGNT+p+VQPLKrejRG8kgfaTvZraSyYZTXMo+TtPKZ5M\nsoJ9Qukc6XsH6A3HJRUnPYEojnWllBl2s0Fyro535yo7EglGsJ8lEoSq+zzNsa5e1FVYBefsOyof\nVyuZZAV7gBi2b22I73N/KA5fMCZ5Xvq+UtvvY50hNNWqNwJgufzXLE1S4l6Vu+bl2N+lnk3ptvi/\npS0Z1T6HxH3VMt/iZ7FcH4HSuyFKUVArLMuCleh0KBQCRWkzo4tEIlizZg0efPBBjB8/HrNmzcIN\nN9yAV199Nafs+++/D4vFgrvvvhsjR47EAw88AJvNhg8//BAA8Omnn+L73/8+ZsyYgdGjR+OGG27A\nhg0bChmizinOgeMBPPzK5xnF0/gmNxb8bLqueNIpKQ6rEfNnN+OWS5ozXyL/e9sxLHxpI9oOqguO\nqKOjoyNHPJ6bka0YCILIfDj829/+Bo7jMH/+fJxzzjmZf7/4xS9K0pY4WDA/QKpisFQVgVSlzucH\nw1XK5pRkWJzoUeeuUG7E3RTH4QiE4ujy56YrLwb+3KTWg3x/1NIfgdMHMg+h0vDC0QS27+/OWVPF\nBPY1KMhSkms/3+yIgm3z60gyLHoCUU0KD2Fd6q6MN6je4ilbt+ZTykqSZbFtbxf8vbljiSWy1kpK\n7qNichIzFDBoLfvZlwe6814LcRfC0STaDvXgeI+0pZAWRRIAHOsOaRpnNJbMX6iP/k4aIUapdQOd\nva/tVkNRob93t/tUl82X3bC/KUj5NHPmTDz//PMCBZTP58MTTzyBM888U1NdO3fuBMMwmDp1auZY\nS0sLWltbc8q2traipaVFcGz69OnYunUrAMDtduPvf/87Ojo6EI1GsW7dOoFLns43g//54hiWvrol\ns7l+7/ShuPMnU2EzG/KcqaNTGDPG12DJDd/CjHHVAIDuQBRPvL4Nq/62C9G4+oemjo6ODgCsXr0a\n5513HqZOnYojR45g0aJFeOaZZ4qut62tDTNmzAAAvPjii2hra8v596c//anodoBcASYtbHAcl19Y\nzl97zhG+0KH0sh0Il1ahV0r4wkgiyWLHoR7sPerHjoM9qoX3fHLGSa96ZVYgFEeXT7582qqE32S5\n5JxCFVxqTstXRqnttkM+hKIJHDwRyNtOrceavzMAjAYl8SzbFy1KDjl2HfZhd7sPB44FFcvJzYHa\nq1LI9RsokTmfUmBPe65lUcHrPmefLLAelfRGEjjUIX+tpZr353HvKnfW5wMnlNcmH01KrX5+PzcZ\ns8qnapdZdQbGYpVHYoXcQCujClI+3Xffffjyyy8xc+ZMxGIx3HzzzTj33HMzLnNa6OzshNvtBs0L\nvlZZWYlYLAav1ysoe/LkSdTU1AiOVVZWoqOjAwBw6623giRJfOc730FLSwu2bNmC5cuXFzJEnVOQ\nRJLFnz7ciZUf7EwFZaRJ3HjxRPzk/DGaMkfo6BSC02bELZdOxvzZkzJWUP+15SgWvrQRuw5785yt\no6Ojk2Lt2rV48skncemll8JgSO0lo0aNwnPPPYeXX355gHunHvHrLYtU/J3NuzqxV8EtRM1rsfjj\ntommVKfTJhVe+E20Nuv9YhELSmlhhAOHCE8wCoTj2HVE3XMk3yyEosLYRXzBhN+fJNOn/DrmR7c/\nlTJebPHR3qnNjWpgKF7QUpLVpFKjAznGRgCU157gXBVlvMEYNu8+iT3tvrxDFNfHLx6MpJSxXQFp\nJWM8wfRZRsk0UkY5Vo0ioT+s7sQyhNRcCI5oMGkRKwIG2kZFajqVrIkK3TO1jDOo4YOBFsOnbhWZ\n5tRwvDuE7fu7EY4mFMeVXqs0SapWPAGpMSUZFomk+lhgwvOFvdp/PL+ivJwUpKqsra3Fe++9h3Xr\n1qGtrQ0sy+KKK67A7NmzYbfbNdUViURgNAozSKT/FpubR6NRybLpcu3t7bBarXj++efhdDrx+OOP\n4/7778dLL72kdYg6pxjeYAzPvLsd+46lbqhqtxm3zTkNQ2u0rUcdnWI5Y0ItxjV5sOqjXdiyuxNd\n/ige//NWnN/SiB//yyjNGT50dHS+Wbz88st44IEHcOmll2aUTVdffTWsViteeOEFXHfddQPcQ3Xk\nCIUch05fBMkC3XuEdYn+JrR9zTXSFOISL/JaBKIkk4qLIpV9rFD4YwiECrTQ0jAP4VhS8PWff2qc\n50bUHYii0mVG22GvQBCXDoxcHvG5YJdAVXUrlyqHgsOiMeBymnRX0srI7kBUMqREOJq6th6HKVcR\npmE8Xx3oQZLlwJHFrfNCplCV1Ro06XoklYJSmGgKsb49osplRoc369qWz3KT4P2vVvpDmZanBznj\nU1Lsa1Gi9AfBSBwMy6oyOrAYS7N3py3J9h8LgFAK2i2aRrVTl0iyaN3XjSTD4rRRlZqDtQ82a9+C\n7eQsFgvmzZtXdAdMJlOOkin9t8ViUVXWbDYDSFlk3XvvvfjOd74DAPjd736Hc889F62trTjttNOK\n7qvO4GT3ER+eee/LzIta88gK3PijSTnZQHR0+guXzYhbL23GP9s68NrfdiMUTeKTze3YediLWy5p\nxpDK0qd31dHR+Xpw4MCBjGscn29961t45JFHBqBHBSLhTqLG8qMgawcutz0lpBRPqXrVnc+yHLbt\n6UKSZTFlVFXBCSbE7fHj7nRqcI8T1KmhrNjthJP573K13x/w51hu+eXrcyFuKnJCefOISnT5I6ir\nUOeCB4jipUkWyD3Uuj+VQGBkfW7yALWjYVkOsSQDiiRxVMbKjeU4kEVFrykOXzAGkiTgtmdTx3Mc\nh2ickbwv1V5KiiKAJFDjtsJIq/CeKNgtdHDdMRwntS8p9JF36WmSVP9xQavWUAOte7sxbWx13nKl\nUJzxrZHk1lya9D6Sbldt653eSOaZ5Q9JB7w/lSio91dffbXi71riBdTW1sLn84FlWZB9Wsquri6Y\nzWY4nc6csp2dnYJjXV1dqK6uRk9PD44fP45x48Zlfqurq4PH48GxY8d05dPXEI7j8Mnmdrzxn3sz\nG+MP/89wXDJzRL+li9TRkYMgCJw5sQ4Tmjz49w93YdveLhztDOGRf9+Eay4chzMn1g10F3V0dAYh\nVVVVOHDgAIYOHSo4vnXr1pzQA1qIx+OYO3cuFi5ciNNPPx1AymL8oYcewrZt29DQ0IAFCxbg7LPP\nLqr/acQCeyzBqLISkpLFIrEkWI7LxG7MCdIrcUxtv4RtC387dCKIYXW5wXSDkURGyDrWHcIoCQFf\nDUoWFAWLpH0nFhTXQ+M5/Sk2Fx8nrIi2C2ha6i2UIAC7xZD342gpR3qiO4xqt7mgc0sZG6aQ66em\n+XTg5WmjqzMxdQ539OJ4TwgNVYV5PxzvDmfcXgkCklrLWIIRWLIL3e7UyyASBqIDSiSeRCSeFFgO\n8a2+xPBHOmlEBb7Y11XyPlEkqSkgfizJgGW5vLJgKRR//LhrBjVKSvCXh7p1wh/710G6LSgQTkND\ng+BfbW0totEoWltbMW3aNE11TZgwATRNY9u2bZljmzZtQnNzc07ZKVOmZIKLp9myZQumTZsGl8sF\no9GIffv2ZX7r6emBz+dDY2OjxhHqDHbiCQYvrmvDn9fvAcNyMBsp3DZnMuZ8e6SueNIZVLjsJvxi\n7mRcMWsMKJJALM7gj/+xA3/6aFfB/ts6OjpfXy6//HI88sgj+OSTTwAA+/fvx+rVq/Hoo49izpw5\nBdUZj8dxxx13YO/evYLjt956K2pqavD222/j4osvxm233YYTJ04UPQYp1GY4khJSv9jXlYmpAeTP\ndlcq5LI78Skmq5mSPF60m1kB55ciUVS5hOckU0bLkjxFClpbxSwLLqVw/epADzp6wuB3MJlkcUgU\ngNmv0UVTbjQMy6J1Xxe+OtiTSgxQwmtZSF1KgbHFhGPJjJCevm+PdhUWkywisgiUEiv2H1OOm6NW\n/8Rl/if99+CyhMoHf5xaLEC1jLOQ+4+vOC2nQo+/L5EkITuuQCie6Ud6zlSvEV6VYQ2Z/wYrBVk+\nLV26VPL4ihUrNL+0mM1mzJ49G4sWLcJjjz2Gjo4OrFy5EsuWLQOQsmxyOBwwmUy44IIL8NRTT+Gx\nxx7D5ZdfjtWrVyMSieDCCy8ERVGYM2cOHn/8cbjdbjidTvzmN7/BtGnTJBVZOqcuXb4Inn53Ow53\npB4qQyqtuG3OZN2VSWfQQhAEvjtjKEbWO/Hce1+iOxDDf289iv3H/LjlkmbUqMyAo6Oj8/Xn5z//\nOYLBIO644w7EYjHcdNNNoGkaP/nJTzB//nzN9e3btw933nlnzvENGzbgyJEjePPNN2EymXDjjTdi\nw4YNWLNmDW677baix6FVkWE20ojGk4qCQqcvimF1BtgtNLy9WeV9qYQL9S4jpWlQqbXCs7txYDkO\nPcFoYZ3S1li/VdXlL58bYr4yhzt6NT+npS2f1GqkOOw67EM0kUQwEofHkXUhSrJsjlJULui5bLsy\nA+7oiWSEW19vHDYVWcwSSRY0ld+WoZClki/LGp/dR3wgCGDi8AqFPmQValYTjUiMKVjZE4oIA/fz\nq9Gid0xl/zyVKTS2VYm7IVH/8e4QrCZaNuZRKfrAd0kkSUJ2395xqAfVfbHZMoklCmj/RE8YNe5T\nW2YoaQqw2bNn44MPPtB83oIFC9Dc3IxrrrkGv/71r3H77bdj1qxZAICZM2dm6rTb7XjuueewadMm\nzJ07F9u3b8cLL7yQifl0//3347vf/S7uuusuXH311XC5XHj66adLN0CdAeerAz145N83ZRRPLWOr\n8eDVM3TFk84pwah6FxZdewamjKoEkHqhffiVz/HF3tKbKevo6Jy63HHHHfjss8/w1ltv4c0338Rn\nn32GBx98MBOeQAsbN27EWWedhTfeeEPwYtza2opJkybBZMrGSmlpaRFYoheFxjfrdDwoluPyKl5y\nLZxLa6XBp8sXQW+foBkIxXHoRFDgalFM2JByxXs53BFUzCgoB78/vWLhukz4Q3GcVHDrKRp1EccV\nf1arlBRcT4mFoWWpRBOls3CQuFsky/EFaYZhVbndfbGvq886S5lyq1g4pJSuB1Rn8iJU3bsEoT02\nkDbl0+CL+6SF/og3Xsj0fLm/G4c6gth1xJcT2y5TbwnWJMNk9waKIDL7jYHKdTHv7FOgp6fMbFIX\n8FzcS7EbpNNqxKlESSNWbd26FZTEZOfDbDZj6dKlkhZVO3fuFPw9efJkvPPOO5L1GI1G3HPPPbjn\nnns090FncMNxHD7452G8/fd94LjUjTvnOyNx0ZnDBl2mBR0dJewWA37x49Pw0cbDePu/9yMSY/D7\nNa249Nsj8YOz9PWso/NN5NixY5LHKytTiupAIIBAICVU1dfXa6r7iiuukDze2dmZE0OqsrISHR0d\nmuqXQ9o1Tr58Wp+kVCa9PYpdsDhOWsdQV2GFgaZw5KR69x0xe4+llDhnjK/FjkM9BdcjRTIpVGoQ\nyLptFBpvh+NSX8cLPTeNGiFeysVPiyDNsCzaSjSnHMdJPj/7NS4Vl12jkhEgVD7e4wnhuihmDOFY\nAhxE2fBk4oLxp4+FeqH/wIkAaiusSDLqrKDKCatgcpmKDcezVCGIvPcZodKxttBrpHaOTxtZicMd\nvfBpsAbrD0LR8iupC1ESpTMVljJumRRJkeUTVETTSO9TJEGgymXJa9UpjnclTtwxvM6B1v3dKns8\n8JQs4Hhvby927dqFK6+8suhO6ejwicaTePn9NmzalQo2bzPTuGn2JDSPqBzgnunoFAZJEPj+t4Zh\n5BAnVrz7JXojCbzz6X4c7gjiuh9MOOUzWejo6GjjvPPOy6t4TgvXbW1tJWkzEonAaBR+MTUajTlZ\nhQtF6pVfSQxIp6hmWXlRIz1Hku44EkKGgaZKFqA1wchbvxzt7EU8yWJYnUNVRj8gpdwRf8EmiOJd\nQYJFpNWWm3lfr7TAG43nSlpaus8UGMdJCg4yuh1VccZK1QfZXgBQb0Gj2v1TJWoVgvz+cSosEPn4\nQ3HsOuxFhcOM0Y25AfiLio2mAcUuc8hcbIIAKJJAUs1Ua+26pvLqrDatZgNsFsOgUz6Vm7JahZWg\n6iQjrShWutXjiey+qfZ5wUd8CjXACl+tFCTh1NfX52ygBoMBP/vZz3DxxReXpGM6OgDQ7Y/i39a0\nor0vxWtTjR23zpmMarclz5k6OoOfcU0eLPzXGXj6nVQMs027OnGiJ4JfzjsNFc7CstPo6OicemjJ\nElwqTCYT/H6ha1Y8Hs+EMtCC1MsvRRGCjElyx9IYKBIUSYIkCdB9/y2GpkmwHJfzG0kSoCTO+Cic\noQAAIABJREFUMRpIMGxu+UKgaek+xRIMuvyp+EpOmxG1FericXT5o5LjIHhf0qkCBJNInCl4vBRF\ngu7L2JRTB4HM9Un3lWG51LxQBCgmVZ7m1SFHPMnASFOS1zKnT33t5IOmSMmEM/x1QdPSfZNaOzn1\ny4yJfx5FkRnLH6n1YjJSsvU0j6hE2yGvdNsq+qeEuC8kRYCmSQRCccFxA68cRZEgefckkHZ3le7H\nnnYfCIKAtzcmM8fy9z6fYhWw/LUoZtu+LjBMas1RFAmCIASWK5L10dL7UXoOBe1m1hmV+pvNP16K\nIlXNTXrtlmIvU4Oaa55GMA8q+0dJ7BNHu0JgGBZNtdkMo2r2iEKR6oNmiOyYU88hom99yV9/Dtk5\nU3tf8DEYKOF9ayjNuuivhF0FKZ/SwcB1dMrJvqN+/OHtVgTCKZPOMyfW4prvjxekNtXROdWpclmw\n4GctWPnXNmxsO4n2zl78+k+b8MsfT5FM8a2jo/P144wzzpA87vP5QFEUHI7S7wW1tbU52e+6urpQ\nXV0tc4Y8TmfuB6GeUAK2cDbWhsVEw+mwwNYr7abhdJqRBAG73Qy3xwabzZRTxuW0wGo3S/7mcFpg\nCwnrdrusiCdZ2Ta14HZZJdslaRI2W+rF32QxwuNRF4NSqi6KIkpqDaQVp9OS6b+4f07R+C2WlNWc\nx2OD3R4E1Reo2uWywu3IHVua3Ye9ON4VwrhhHrjd0nPKp8JpRk8gf/B0t9sqqQRlSRI2W8rCzOGw\nSF4ffhk55K4rv/8ulxXGvnfUUIKFLSC0Qqvw2OCRCVzu8dgQ54AT3bn9cKmYJyUcDougLzaLAe3d\nEfQEoqL+W2ALxvvOMcNhNUpe83yQBhouu2j9BOMIxfObGVnMNCLRwuNdDamy4XhX/iyVDpsRHMeB\nDCvvDS6nFVYzDZtfaHFEUYRgTXjDycx+53JZYO+NIyZhGSjG6bKCIcm8e5THY4M/yuTsceVGzTXn\nz8OkMdU4mCcTYOqclEt0mmA4ju6+tTcERCbAP8Nyqta+2n2Cj9MlvR9ooTMYhy2Sus42uwmGBAuQ\nCRgNFAwJ+eufbtfqi8Km4r7g43ZZ4OWtA4/bBpst/5wP9PMlTUHKp88//1x12dNPP72QJnS+4Xz2\n1Qm8/NedGXPGuXp8J52vMSYDhZsunoSGajve/XQ//L1xLHttC26aPQlTR1cNdPd0dHT6mRdffBF/\n+tOf0NmZcjdvbGzEz3/+c1x22WUla2PKlCl44YUXEI/HM+53mzdvxowZMzTXFQhEBIFXAcAfiCDE\ncxFhkwz8NCE4xsdIAqFQDDQ4eL29kuW+2tuJ+ipb5rcqlzljdbRrf1eOhUwwGEE0zsi2qQWvL5S3\nnkjYCK83v+ALQLKugRYO/P4wTGTKlUTcP583NX6SJGCxGBGJxMGyHLzeEHp7oxkXvB17T8JAUxhZ\n75T8kr63L8bTlh0nMGV0Vd45NRAcjCQBb1C5XI83JBlvyBeIZtowUZC8Pvwycshd13A4lrHU8XpD\nGeWT3x/JqbM3GIGRkL++4VBMsh9eb/61p0RXt/B+YpJJRGO5gnEwmJ0Hnz+CZCwhec3z8b9b2zF9\nXLXgYzG/biXYJINIEenkgyZSVTskl9qvQnmUT8EgjWSMzqmTIgnBmvAHwpkyAX8Evb3RnNhdQEoJ\nzx+fzxdCoDeuav35/eGS7GVqUHvNh9U5BPPAxJOq+tjjDcHIUz51+7Pr4+gJPwx9DmxSe5EUJkr+\n2SKHz5fa74rB58teE5JjwbAcwtEkEgZS8vqnSc+Z1D6Rj95e4b2k5tkEADUeCwwmCkc7pfeyQW35\ndNVVV/HSBGYXpPhYKWMT6HwzYDkOf/mfA1j7/w4CSJnM//yHE9Eyrkb5RB2dUxyCIPCj/zMc1W4z\nXn6/DbEEgz+83Yorzh+DWTOGDnT3dHR0+ok//vGPeOaZZ3DVVVdh2rRpYFkWmzdvxmOPPQYAJVNA\nnXHGGRgyZAjuu+8+3HLLLfjP//xPbN++vSDrdoZhc4JnJ5OsIFAqw7BgRMf4sCwHhmWRYFgkEvLl\n+MHDSYLIlJMKycQynGJdWhCPRwqW5XLmQQ6pugiQJelroSSTqevYG0nk9CORGX9KWmNZDiRBpOaF\n4TLlu/usD2iKQGO1PacNfr1bdp/M2yeW5UDTRN55SSZZQQyXA8cDCITiqK2wZtcII3191KwRqfPi\nCUYQ8yWRYDMxXKTWi8VIKa4P/jyK2y5mXaRDV2TqS0jPJ8tk20kmGMQpMueaq+2HNxBFlStrEckw\n6sbAssWNNaFyrhiWA0WoW1cMlVsnxxGCa8kkOd46Y2XnKimah0SClby+drMBbocJ7Z29aKy2I5lU\n3hdLj7pr7rQaBPOgdq0ySRZJXnAsfjtMMnWfhqMJGGh1eyKnYW1m+irx3NIK/3r6emOwmmgwLAuW\nUV5b6XbV3hd8xNeEv/bynac8T/3k0lnISc899xwaGhrwu9/9Dhs2bMDmzZvxyiuvYMSIEbjjjjvw\nySef4JNPPsH69etV1RePx3H//ffj9NNPxznnnIOVK1fKlt2xYwcuu+wyTJ06FfPmzcNXX30l+P3D\nDz/EBRdcgGnTpuH666+XzSCjM/iIJxg895evMoonj8OEBT9t0RVPOt8ozpxYh7t+Mg12iwEcB/x5\n/R78+ePdqr426ujonPq89tprWLx4Me68806cd955mDVrFu699148+OCDePHFF4uqm289TJIknnnm\nGXR2dmLu3LlYu3YtVqxYgbq6umKHIAkv1q8kJC/guFpoSvlLLUkSqHZb+i1OytcFcRBdAJIXTykY\ncLgI1ykxBo0BdeMJBh3eMCLxJA6eyLqjyBnPq8mIJVVm31G/bBmpGvluRlLI9a/UQZdlbzF+wHFI\nK0jVIu6yeseF4qwvtOwfaiw9CIIoqEuyAda53D8le0wAjdV2TB9TnVHiFpL1rdwU6pGitD5YjsPR\nzl607u/GgePymUrr+PH1CujGgeMBVa6RUhzvDqF1XxdCEeE+l7ZcVZqXEUOcmf8eWlMal/qxje68\nZUiCGBQeRAU9jZcuXYqFCxfiggsugMfjgc1mw5lnnolHHnkEq1evRkNDQ+afGh5//HHs2LEDq1at\nwqJFi/D000/jb3/7W065SCSCG2+8EaeffjreeecdTJ06FTfddBOi0dRXli1btuCuu+7CDTfcgHff\nfRcGgwF33HFHIUPU6Wd6Iwksf2MbNu1MfQUbMcSBh66Zoce80flGMnaoGw9c1YJaT+qr4frN7Vjx\n7nZBhgwdHZ2vJ36/H1OmTMk5fvrpp6Ojo6Ooutva2gThEIYOHYpVq1bhiy++wNq1a3HmmWdqrjOR\nlN6XcoR1TlmIpvoEQTXBpQHAaqLzCo8kScBqpjF9bBWqXcUlKlEl/w8+2VAT6e7HJawBpATfcqcx\nT0OpUBLwuyLXr0BIOhOgGuWOVBm/KLOgQGlXwNzIredSf3uSGy8pKKP+XpSiN1JYbKJovDilZbfK\nuD8EVCqfoC5TH//+IIjUvqMKmayC6TaNPNfFQm83u9lQ2IkqEE9hoYpSYaZF4EiftV5PUFscJ63s\nPebPX0iCQx1BhGNJRBPC9Zq+ZZw2+VhZVlN2bVjNtKSFqCISU1zhNAuUWlIQRP+51ilRkPLp5MmT\nkoolu90Or1c6U4MckUgEa9aswYMPPojx48dj1qxZuOGGG/Dqq6/mlH3//fdhsVhw9913Y+TIkXjg\ngQdgs9nw4YcfAgBWrlyJ2bNnY968eRg+fDgefPBBdHZ2wufzFTJMnX6i2x/F0lc3Y297agNoGVeN\ne6+cDre98OCKOjqnOrUVVjxw9QyM7UtZvHVPF556YxvC0f4NNqmjo9O/nH/++Vi1alXO8bVr1+K8\n884bgB4p8/9aj+Nwh8TX6RzdU56sUmnlE6Mu9bjDasz7FddpNfbVTaKhurjAsv3BgH+U7pv3hMSH\nDikLgf7QPREEoVL5wrM6kimfYFhJqy419asZK9Pn0uLrjWWE5zQj6pQFQ0A+7bqUQG82FBQ5BYB6\npWExFteFfizrL4UmAek1LVm2hPeleB+Ut0KTOLfAqVFShBSLeA9W20dxMULwm7pKSrFUgmFphXSh\nZEMPARUO6cyx4jmTilWn2IbmH1IwLDfwzxgUqHyaOnUqnnrqKfT2ZjdWn8+HJ554AmeddZamunbu\n3AmGYTB16tTMsZaWFrS2tuaUbW1tRUtLi+DY9OnTsXXrVgDAxo0b8d3vfjfzW2NjIz755BO43flN\n0XQGhvaTvXjs1c043pfd4/zpjbh5drNA06+j803FbjHgzp9MRcu4VPap3e1+LHttS97Aqzo6Oqcu\nlZWVeOuttzB79mw8+uijePzxx3HVVVdhxYoVSCQSWLBgQebfYEEqgGmOYMApCwtZyycWakyIjDSZ\n1x6B/5VXKlOuS0MGMY6TVw5opdRuVFqRVXL0/b+U5dOhjt6cYxykrTZKTbVbWogT9IXXDSWLnR0H\ne3IUUOosn/IWQXcgis93nsTOw7kf4i0qLGHkrBI6eiI5x1Rb1kigVsFTTPD7HMPHwWYVSBAIRlQo\nHlTe8qrHJ+m+qq5ZI12Y+7Dc/W6gipe1xFUX6hrIP6s/14oaqzYtJPtcVZXGUOxjJHe/Sv2t5r4u\n1TOsGApaxQ8++CC2bduGb3/725gzZw4uvfRSnHvuuThy5AgWLlyoqa7Ozk643W7QdHYTraysRCwW\ny7GiOnnyJGpqhPF/Kisr0dHRgWAwCL/fj2Qyieuvvx4zZ87ELbfcUrSJuk752HXYi6U8QXrud0bi\nyu+OGRQmgTo6gwUDTeHm2c34l2kpa9P2zhAeW7UZJ3qU00Lr6OicmrS1tWHq1KlwOp3YuXMnvvzy\nSwDAjBkz4Pf70d7envk3mBELIUqvxQQIUH1ff1mOw67D+S3WKYrUFOej+FgX0iPgCy9FyJ+Z2grF\nbFSvjJCzLE8LNVJWK3KCTSia63oClNZaxGyk0TK2RjGuCb934lhMfMKxJA6LFGlpCx8lwUws8EnN\nUacvV0mURs10yL3+dgVy61XjiqgVsRthMVZIaQVgbyQha7E9aXiFKouwcqB2bASk945CpyZHbSBT\nkdTVrXTlV8KqrgyAyVB8LDzx3KiNr3e8O4RAKJ69Drx58PcWYI1U4PUol8zZE4jK7oHFtijOopee\nOjVusoUqMEtJQWrzUaNG4a9//SvWrVuHffv2AQB++tOf4gc/+AEsFm0+9ZFIJJPiN03673hcuPii\n0ahk2Xg8jnA4JYg9+uijuOOOOzBixAj87ne/w/z58/Huu+9q6pNO+dm08yT+uPYrJJlUtpRrLxqP\nsycPGehu6egMSkiSwFXfGwuXzYi//OMAugNRPLZqM3512ZS8Pt46OjqnFlIud+XkxIkTWLx4MT7/\n/HO43W5cffXVuOaaa4quV41wNmFYBfy9MVS5LAJrlF6RsEoSRI6wSJJEv34iT6jIiqTWCqgc1kKj\n6p346mBPSepKWz4ZKBKJ9HWR6fKhE/IBgUtBWoAz0CQMCoIT30UskidukNh6OH0qRRJgZax9sjIy\nh4MngujwavsApEb5qcUqoRxCM195xnHq3F/lCEbi+HJ/d+Ze9ogUnh67CQ6rEQ6rEQd4QeH7i2A4\njsYqO9q7ci36SoHcPS5lESZpLSSxFiwmGi6bCf5QiazfS7CExGvWbTfCYzfB26vcxxM9YZzoCYMk\nCAytscPCi4OUYPovvmm5sgcmWVbBqopQ+Cs/x3uElsbp1SN+RpkNdM6HAUcZXTDVUrDNpsvlwrx5\n89De3o6hQ1NpwA0G7QHNTCZTjpIp/bdYkSVX1mw2g+ozHZw3bx5+9KMfAQCWL1+Os88+G9u2bRO4\n9ekMLP/zxTG88uFOcFzKDP6WS5sxeWTlQHdLR2dQQxAEZs8cAafNiFc/2oXeSAK/+fNW3DqnGc0j\n9PtHR+frhN/vx8GDB3PeeQiCwIwZM0ra1u23347Gxka8++672LNnD+666y40NDRg1qxZBdXHcRx6\nI4mcr7BSQpbJQKKpNpVYRCnQcKXTjE6/0PqDJgko6YNcVhUv2Rqk67bDXknlAH9MquOdyJRTq3sg\nCQITh1fgywPdAFIBhY15MqmpaedQRxAkQWQy1ZlNNBJ91jBywrRcbJ9Su7MAygqXnmAMQ4yUKgWO\nWJGZjdNCYHS9C4c6enME4PQ5gVBcs+JJLVoUSoPAeyYvfCWyvy/Yu4mm0FTrgMs+8EJwhdOUX/lE\nEJJrP8eys2BLKGkln9xScNmMmpVPcrG7ynGPEgSBcU0efLbjhKryLMfhUEcQ44Z6imy3sPO0WIx6\ngzEcPB5AhTO/BRpJELLJOEp976ZdysVWTSOGONDGcwFOu447LEZ1LqdloiDlE8dxePLJJ7Fq1Sok\nEgl89NFH+O1vfwuLxYLFixdrUkLV1tbC5/OBZVmQfaZ6XV1dMJvNcDqdOWU7OzsFx7q6ulBdXQ2P\nxwOapjFixIjMb263G263G8ePH9eVT4OEjz8/gtWf7AGQimejW27o6Gjj3GkNcFgM+OParxBLMPi3\nt1px/Q8m4MxJ5UmPrqOj07+8/fbbePjhh5FIJHKEHoIg0NbWVrK2AoEAvvjiCzz66KNoampCU1MT\nzjnnHHz22WcFKZ9YjsOmnSdlXFpyhSy+NYiSZYjZmKtYIUkCpIxQ5bGbMLJe+d2iwmEGIxF8Wol8\nrjqq3e6KNHyaPLISFhONEUOc6PRGMHyIEyaJOSoEvhWK1URnAvLKuXTEZASsUsEXkJWE5SMng0gm\n2YKyJKevK0kQqHJb4LAZsXVPp2TZWBmzzmpxDS2H4kBMOYJ/UxRZuPtYCUkFg1aX7U5N4HX+Xs1x\nnGwgcfGezrKcpDJTbi3QCtZ/aQtRk4HCiCFO7Dzshd1iKCprYX+x64i2hGVi3HYTugNRzWvWYVGn\ns/D1xjJ9FFseyVEemyohw3luq7UVVvRGEvD2xjCy3gWXyNowrTAd0+jC4ZO96PLLuwmXk4Ic/1at\nWoW//OUvWLRoUcYNbtasWVi/fj2efvppTXVNmDABNE1j27ZtmWObNm1Cc3NzTtkpU6Zkgoun2bJl\nC6ZNmwaKotDc3IydO3dmfuvp6YHX65XMzKfTv3Ach7X/eyCjeHLZjbj3p9N1xZOOTgHMGF+DOy6b\nCouJAsNy+OPaHfjb50cGuls6Ojol4Pe//z1mz56NdevW4ZNPPhH8W79+fUnbMpvNsFgsePvtt5FM\nJrF//35s2bIFEydOLKi+Y10h2Zf/fEF1lcRAqWxAhMJJ45o8MEhYAvGzD43uyyRaUkSDbDvYg217\nunLcIYp1u0tb99R6rGgeWQl7nwDlUGPtpVCfGP7hJM89pcqtLcRGqcgXTkatUCgebfpypMdrpEkY\nRGsufc0KFeTV6JWKcaWrdJolg+oPNqTmYeKwin7vx9ihblXXhCDUKRHE+55UVkUAGFIlzLrZ5Y+q\nqD1LlcsMu1laYTJpRAXqK20Y3+SB227CtNHVmDisQj6b2ilgPacWggCmjK7SfF6+u7nbH0VHTxjt\nJ7W5Z7IpU19JctZdEdeBXxdNkRjX5MGZE+tQI7FHp/d5o4HC0Gp74Y0WSUHKpzfeeAMLFy7EnDlz\nMprZiy66CEuWLMHatWs11WU2mzF79mwsWrQI27dvx/r167Fy5cpMvIGuri7EYinzwgsuuADBYBCP\nPfYY9u3bhyVLliASieDCCy8EAFx77bVYtWoVPvzwQ+zbtw/3338/Jk6ciNNOO62QYeqUCI7jsOa/\n9+Hd/zkAILVxLvhZCxqqBn/aYx2dwcr4YR7ce+V0uPr8t1//ZA/e+u+9A55FSUdHpzgCgQCuv/56\njBo1Cg0NDTn/SonRaMTChQvx+uuvY8qUKbjooosyyWQKoVujIKXW8gkEUOUUvkwXEkC8sdoGj92E\ncUM9IAmi0Bi1svC331A0AX84jmgiiaMi1x4N2dU1FVR6qefH3BErKeTmsijrmlIJtrx6SpWpKcmy\nAnfBTMDxPuUPQRCYMroKI+uzCsqeQAxtB3sKC4askmKGN6rehUnDlZU4VpO28CjlsHySGqLdmu2X\nJY8b1NBqO4ZUFCc/DKuVto6rlhDYjTRVUDZEsTvqhCYPRte7MKTSKjielIkxlnZ9FUMSBJpHVmKk\nxMd7i5FGU60jEz/JZKRAkgRqPNLK4lNd98Sfc4IgCtoflK5tNJ7EnqM+HDgRyIlDWAzi/baYrJL5\n4Luf1/PkbpVx4ctCQU23t7djwoQJOcfHjx+f4xanhgULFqC5uRnXXHMNfv3rX+P222/PmHvPnDkT\nH3zwAQDAbrfjueeew6ZNmzB37lxs374dL7zwAszm1JesCy64AAsWLMBvfvMb/PjHPwYArFixopAh\n6pQIluOw6m+78cE/DwMAhlRaseBnLZIaWR0dHW001Tqw4KqWzIvFB58dxst/bStbAEUdHZ3yM2vW\nLPz973/vt/b27duH8847D2+99RaWLVuGjz76COvWrSuornyv0GL3Ev47eD65IceNjpBWjlS55N8v\nrGYDxjV54HFIZ3srFrnxi7MTyVlFqEU2jK3CJNosBkweWYnpY6pzhDT5+grrX7lQYxmkJjA8AOzh\nZcRLy5/8eaEpEhaeK2N7Vy/84Th8BQZ7VqPH0ZLBLhCOo7Iv9gxJECBJQvH6VzjMcGuNs9RP37L4\n8+5xmAR/i+9xg4HKUeBoJT1P4uly2Yw594aBJiXd7syGrJKsyxdBT1CoeBcrlSwmGlVui4SCRMZS\ntIDJl7v8JgMFA5VrFccvLqW4GSgLx0IpZL9Sui8jscJdbF02E5pqpa2LxN3k71lyilE58g15XJMH\nE4dXYMa4GsFHBwNNyVrQlZuCYj41NDRg+/btaGxsFBz/9NNPM8HHtWA2m7F06VIsXbo05ze+Gx0A\nTJ48Ge+8845sXfPmzcO8efM090Gn9DAsi5ffb8OGrzoAAE01dtzxk6lwFmgWrqOjk0uN24L7f9aC\n3771BQ6dCOJ/t59AbziB+Zc0nxIm+Do6OkLuvvtu/OhHP8JHH32EpqamHIFS6l2pUDZs2IA1a9bg\n008/hdFoxMSJE3HixAk8++yz+OEPf6i6HpIkQNMkKJKQTbXNITcNt8FAZo4RpHyabpoiQfPKAn1C\nIZd7ztihbtXuS6RCfwuBoohMTBaKyvbXH4pnjrMchx0HvZLtkhQBis3fH4OBkoz90lTnQPCA9Bd6\nkiQyMUCoYEzQvtS1SbcjPp6eW4uZRkTGOgNIKVKk+qh1vvn10DQJm9mAaFxeKAzHkqraCEeTmXrT\na4+mSUGfpcZfKPy1IYeBVt8eSRIYM9QNa2cIHocpVTchP78GmkytL5X10zQJhuVAkWTmmqf+v7D5\nIAiA4AhQFCk5D80jKtEbSaC+yoZOfxREn8LnWxNrEU8y2Lq7CwBQ5U4p3Iq5Loa+62zghPNNkgRm\nTKjB5p1ZQwqTkYLZRKO9M+XSabPQCEWSMBiy4zhwIphTT2queMpMXnl+WUJmDyJl7p80/P0lMy6F\ndz6KIsBypOhYtg6SJDJznv573DAPjhz3Q+may/VxZL2r7JkwKd56pmlS8DzRUofcGCgN94uYcU1u\nGA0Uqt1W9ASEikn+WgBSz4R0Oy67CVSnOvfhVB+l7yc+FTLxAEfUO7HjYDbWVjkyaEpRkPLp+uuv\nx8MPP4zOzk5wHIcNGzbgjTfewKpVq3DfffeVuo86pyCJJIvn/+MrbNmd2sBHN7jwy3mnwTpAWlYd\nna8zTpsR91wxDSve3Y4dB734Yl83lr++Fbf/eEomFoiOjs6pwZIlSxAKhRCPx3H06NGytvXVV19h\n+PDhmfidQCoW5/PPP6+pHovFCI/HBpstAMqg/mtxhceeeeFlWA42m1+ynMtlRYXHCpsta7HkdtsQ\nizOw9WSDpjZU21FZqT6WhcMRAkuUTvnkCycRPRrA0DoHHA6LoL9mqwkWEw1/b0xwnI/JSCGmoFhJ\nU1VplxQUPB4bDp6UFlzsdjM8npTbhT/KwBbK70biclrglSk3vMGNwwrCpd2RbY+P3NjV1tMyica2\n3fJeFja7WXUb6Xpt3RHEGMDpNAnaMpgTsNm0xXqRw+m0wp3H4s4cS8JmUyewO6xGVFc5UF2VtZTg\nOPl7yO22gqZIBCLq7k+HwwJDPIlIMquQsFjyfzy2Ww3oDeeumXQwbIfNKLku+MdsVn/G5S99Pzud\nVhBEynoxkWRhswVy6lDLmOGVoCgSsQQjqGdYowdmI43qznDG7c3tscFuMcBqN4EAgU5fGMc6Q7Ca\naXg8NrAsl7PeHE4LbDahwsHjtsHYpxzil7eYaFB0rhLXaKAk5ykNaaDR4c9a4VU4pe+3NHa7SWCB\n2VTnQDAcR7JPQUbTJJI8C5zTJ9aCpkg4HGbBcTFybXo8NnQFy5tRzem0IBRP9c3ttsJlN8mufzls\ndvl5S4KEzVZYUO7ampSlbl2UQUxkBVfhsQliEtq80cx9Vl1lh01mD5fC7bYqXndFaAo2W3kydyo2\nW8hJc+fORTKZxLPPPotoNIqFCxeioqICv/zlL3HFFVeUuo86pxixOIOn32nFV33a1AnDPPi/c08r\nWSYWHR2dXCwmGr+cNwUvrtuBjW0nse9oAEtf3Yw7L5+qKi2sjo7O4ODTTz/Fs88+i3POOafsbdXU\n1ODQoUNIJpOg6dQr4f79+3Ms2/MRicTh9YbQrSEFfUO1DX5/tjzHcQjJuDQFAmGYKQh+9/vDiMUZ\nwbGghYLXq17hHgxGEZIQlIshFAK6vWFMGOYR9O3TTYdxxsRaBMNx2XEO8biwN88cmo2UYN7ERCJx\nSTchfyA7N35/WLYPfILBSE45kiQAtwWhUEyxDjNNwOvNFaLUtMvHREFQTyiaUKyjxxtS3Ua63kAg\nglAoDiMpbCsSS2rur2xbvhC4pLylGJCKE6S2PYJlJed3XIMz8+GXT6+ZQn2VTXX9gQDVcfs2AAAg\nAElEQVSNaDw1fpIkYLEYZdcWn/oKCzo65RV2JCfdb0FfQ9GMO5S4bCwSB8OyBV+XGo8FgUBKoRBP\nCuc7EoohEoqhtzeGSCx1rQL+MBLR1N7IoW/PCMXAJJLwekMIRXLXo9eXe3/5fGEY+ixUqhzGjFVQ\nIp7IccsFgDhN5p2nSocRDMPCaTPCaTMqlg+FYpl2hg9xwG2hcbwjgFAopSDiK59cNiOS8SRgNiAa\niSsqxJXaVLNeiiFgJDPz7PeHgaT6+9VqphGOJmEgONkx+P3RgtdZus5wKLcOny8sCALvttA4cjwO\ni4lGNBwDWBahiLrnkt8fhqnA7yeBkPBZNKgtn9atW4cLL7wQl19+OXp6esBxHCorK0vdN51TkHA0\niX9b8wX2tKc0z9PGVGH+7EmSWWd0dHRKC02RuPHiSXBajVi/uR3Hu8N4dNVm3HH5VD3Av47OKYLH\n40F9fX2/tHXeeefhiSeewIMPPoj58+dj//79eP7553HnnXdqqodlOSSTrKZ4c/WVtpwv6nLnJ5nc\n+lmGBcMIj1XYTYpf6cUwLFe2GHnxBCOom2GBZJIFq9Cm2UBhTKMLOw9Lpx0fUmFDfZVVcYwMw0oG\nik4k2Mx5iYS6ayXdV1LhtyyxWFKyn1rnmyIJQT2c0vwZacTjjOo2MvPRt7Y4jhO0pXVNy0GTJKxG\nOu/azDengrKivqahSEKyDm8giqHVdk1zkx2/umsO9N2XCmXSe4USBopEJJ7M9COnDi5/P4ZU2CSz\nH/LbZ5LZegxUVvmS5I0hmWSRpPj7TuqcZDK1Lncd9ub0JZHIXYMMw2ac8GrcFhw+EUSSZRGJSY+D\nZKTHzqeWF5OJZTiwCnGiGCY7VppMjZV/jGKz64ZhOTB9cem4PHOt2EfRuaPrXdh7TJtlkhL868SI\nxqOG1HVM/YvEkjjWHYLTakSVywyCIOALxgq+/9PzYjHSkmuBf6mMNIkpoypT9y7DocZlxl6VSq9Y\nnNH0zBP3Udi3/olCXlArjzzySCaweEVFha540gGQCn74xOqtGcXTmRNrcfMlzbriSUenHyEJAlfM\nGoO53xkJAPAGY1j26mbsPVq6B76Ojk75mD9/Ph599FEcOHAADFN4wFM12O12vPLKK+js7MS8efPw\n+OOP49Zbb9UcO9NoKM1Lq7bsarllDXliX4hx27JuRFZTQd9jZZHLFJZvhGYFK/FhdY6C36n4/SlF\nFrN8wX394TgOHC/cNQpICcmNopTgSkG5TX1xitRg4s1jej7E8dVKkV3PSFOYOqZKlVWBFssDrT0r\nJKNWIcukkCyUYsY0umEx0misUhewWQqHVdoCUj7JAe8PTq5M9m+W47DrsBfhWK41mxprH6dN2YWx\nnImL08tMbi5KZf8ivn+MJfaAEWS702i1k35SpKvY0+5Dpy+Cfcf8OHgiiPbOXknlpVbEoS9sZoNk\nHCmaInmB8AdZpocSU9CTdvjw4di9ezdGjx5d6v7onKJ4gzEsf30rjnenTMH/ZWo9fnbBuJKlxdXR\n0VEPQRD4wVnD4bQZ8e8f7EIomsTy1Vsxf3Yzpo6pGuju6ejoKPDSSy/h2LFjuOiiiyR/b2trK2l7\no0aNwksvvVTSOvNRXyltiUkQ6oUugsh9See7MqhhSJUNHJdywUi/v5QKOfkz3/C0KeDUw1dqqXWF\nUXqHU9PLDm8YIyRSwqtlyujKnGsqJbhVOMzoCUbBAUj2fcm3mgxgWQ7RhLSrm40nFMYTKSWvQdSW\n2lfYdDwjKardFtXrkiQIVDrN6A5E4bKZ4C+Ry18hcOAU09DLkS+jnpoptZppTBkt/66iRjiXV/7m\nP5efaU7cVvrvBMPC2yt9fdTcXjYzjZ7yxuOWR0LJITenNR4rDp0oTIlcbiUKf31qlTfTfUtXwVci\nirOyamVIhfD5ZjUZEI6l3OhGibO2SvZNfVvldGssFwUpn8aPH4+77roLL774IoYPHw6TSRhoTWsm\nlng8jsWLF+Pjjz+G2WzGddddh2uvvVay7I4dO7B48WLs3r0bY8aMweLFizFp0qScch988AF+9atf\n5WTL0yk9J71hLH99G7r8qeB63/9WE378L6O+9ppbHZ3Bzjmn1cNhMeLZv3yJeJLFH95pxZWzxuL8\nFm3xXHR0dPqPm2++eaC7UHYqXdJx6AgZ7ZNaIVjrewdJEGisSVlXlFr5JKdFUxoKQWi33lKD1WQQ\nKPxUWz4pTGe5RR67xSBp5aVkHcQha+FDUURKiJMJnZJeUwzLItHnYmQ2CdtTu54cFgP84dzgyg6L\nUbPL+6h6F2o8VjgsBmzc2aHpXCWG1WlL4c5x8tfYYTUiHmcQSwotM4dU2PLPWRlkA4/dBH8ojiqX\nBSd9qftYTZYyWYUFxy8j/ElN96UUAuLzKBmFpMVIIxJPYqQKJYUWCIn/5itF+ePk97Wh2gZwHDp9\n0YwCpRAMFFVytTqncJ3ykd5HSmEFKqau0qrwa2ktIEvVe5oky76nZ9oq5KQDBw6gpaUFADLud8Xw\n+OOPY8eOHVi1ahXa29tx7733oqGhAd/73vcE5SKRCG688UbMnj0by5Ytw+rVq3HTTTdh/fr1MJuz\nLzLBYBCPPvqorvzoB9o7e/HkG9vg7009dOd8eyR+cNYwfe51dAYJU8dU4e6fTMPv325FbySB1z7e\njY6eMH5y/ph+Cy6oo6OjnksvvXSgu6AZre/vcjuP3HE1wtxgQ25KlBRpVF+K9uYRlfAGYzjaVZpM\na+OGugX7vd1iQLco/bcUSu9y5XQLAqDJYorMWDFkY9XQJAG+asRjNwksVdL954c8oXKsXNS131Bj\nR+iwDzRNgiYJ9EZTQvrwIQ7Nz1mSJODK45IFaBc6Hdb8dea0IdPIpOEV2HvUj5hfmAlsoO7JcU0e\nMCwLgiAQjSdBEEReCywAshsOp1CoUKsrtRaNzSMrEIszZc0Onl6TRoGiW9oKiiQIDKm0wW03Yfv+\nbgCFKWzGDHUV1lkF+M8FzR8eeFlWS42SwlJNN7WMpKh9mNeQx2FCtcciX7aEqFY+/eY3v8Ftt90G\nq9WKVatWlawDkUgEa9aswUsvvYTx48dj/PjxuOGGG/Dqq6/mKJ/ef/99WCwW3H333QCABx54AJ9+\n+ik+/PBDXHLJJYK+Dhs2DN3d3SXrp04u+48F8Ns3tyHUl470p9/VLSp0dAYjoxtdeOCqFvzurS/Q\n4Y1g/eZ2dPmjuPHiiTAbSxvnREdHp3g++eQT7N69WxDzKR6PY/v27Vi5cuUA9kyaRJKFT8YFRRrp\n12u5F3Np5RMBC89SZWyjW0P75UdOKJA7Xl+ZTb9ttxhgtxjgsBpkg49r6otInK6tsOJQR8rnR8m9\nS852pKnOgf2He4ruF59xQz1gGBZuhwkMw2nLkJxeNxzA9E0wRZIgiOy4bWYDxgx1Y2Ob2JpIXoCl\nSCIVnDlP0GGricb0sdUAAew6lL1eZdXFaFX45unMyCFO7OfF6OI4ZcFcqjo1CoBEsjxx7NKWThOH\nVyiW0xrbSDwkmirQ5U90mtjFEwCGVttBkSSs5vIGfk7HTaNlrCylFKYWE41pY6rAccCWPdoNT6wm\nGlGFrHmFwFfkSy29sY1u7G73SZ6bnoNoXDkDZWH0nxa2ENdYOforM7bq1b1y5UpEIkIN94033oiT\nJ08W1YGdO3eCYRhMnTo1c6ylpQWtra05ZVtbWzMWV2mmT5+OrVu3Zv7euHEjNm7ciPnz5xfVLx1l\ndh7y4onXtyIUTYIggOt/MEFXPOnoDGJqK6x44OoZGDs0JaBt29uFZa9tgTc4cDEldHR0clm+fDlu\nvfVWvPbaa1ixYgXWrFmD5557Di+88MKgTvAipSSpcVsxrDbX3UdORpUTXqVkYAKp7GZjGtwYXucs\n+sWZL1ROGVV8bDw5oUBOVGiSmCe33SRRUhkpVyJxV0iCwJkT6zB5ZCXGNblRVyHjJiJxOWorrHBY\njSV3V3FYDajqi4+kSfGE7HqKxJmM1RFJEoLg5ARJgCQIePrmNN17/trKDS5NKAaAT0NTJMi++vvL\nolisUMyH1Lqgea5pNlFgZA6cspuVxDDVjFwqQPdAIbffcAprQg1q4vBUOHPv7foyZiXm9yh9X/CX\napJhc34XY6ApGA0UjH1K8hF12q0TSwl/TOn6a9ypvcxAkfA4TLCapC3I0nHeACAQynWZLQaloWqd\nBjqP+2i5LVDLgWrlk9RD9PPPP0csVpzg0tnZCbfbDZrOfn2vrKxELBaD1yt8kTl58iRqamoExyor\nK9HRkfqKEY/HsXDhQixevDgnDpVO6fhibxd++9YXiMUZ0BSBWy6ZjLMnDxnobuno6OTBbjHgzsun\n4qxJtQCAwx29WPKnTTh0YqCiXuro6IhZu3Yt7r//fvzjH/9ATU0N/vznP+Mf//gHpk+fjqFDh5a8\nvXg8jocffhhnnHEGZs6cid/+9rclqbfabcHIeidMhlzhXe4FXC4ws5LbXaXLLK880cCwOkdKYLGb\nJPtcKkr5pVoKLTGjbGYDSIJAhUNacSclMFrNqfd18TA8KhRlSmPXIpzaRC5JaZcmftpwgkjFfcrW\nL6zDH4ph866TAos9KWWE5ixavPJljQVcAssnJSsgX54PU1JuZJl7sk8RXOsp/r4sBqn21blnyVvD\nqVnnkvuVin70V8iS9Brlr1U1yqc0k0dWYuKwCtTkcdPi600KHZqJpmSVXFJKwpH1ToxpcGPCMI/i\nfPZGEpL/XQqUFNBar3GF0wx7334nFcesZB8B+tFltrx2fSqIRCIwGoV+uem/43GhJjIajUqWTZdb\nsWIFmpubcdZZZ5Wxx99s/tF6HH94ezsSSRZGA4nbfzwFLeOqB7pbOjo6KjHQJG744UTMnjkCQCpT\n5dJXN+OfO0oX2FRHR6dwuru7cd555wEAxo0bh9bWVrjdbvzqV7/CX//615K3t2TJEmzYsAEvv/wy\nli9fjjfffBNvvvlm0fWmlQlSgoxc/BM5lxZp5VJp35bNxpTr1LgmT0mqllI8JJJMSdzolJCylsqr\nkNIw3oyHm0joGdUgHdOFX05RTNLQhwnDPJn/NhtoWcGWr9BK/zdf+EswrODji1Q9ckoxq8mAYbUO\nnDZSaI0oUD6VWPtkoMiMu9ZQCUs5JaSFXqkw1CkSjLKrobQyK3VwVIMLk4ZXaA5yXmqG1zlyLC/F\n3XZYUnLl6Mbs+hUoNUTljQYqr6JU0lJzgIPU8feArOVTtk8WU9YIxO1QVrAZaBJOmzHvmEbWu0AS\nBJzWVNlCpmB0owu1ov3fbjFgbKNb5HaXrbzSZc4bM6vKlVWcGQ2lVYfkKBoVfpOugBD8Z/PISpw5\nsQ42c2nDZDgsBpgNdCrxRrW9pHUrMeDBPkwmU46SKf23xWJRVdZsNmPPnj146623sG7dOgDl/7L0\nTYPjOLy/4RDe+XQ/gNQm9ct5p2HMIIuxoKOjkx+CIDB75gjUeCxY+dediCdZPP8fX+FwRxBzvzNK\nD0SuozOAOJ1OhMOpjE1NTU3Yu3cvAKC+vj5j6V0q/H4/3nnnHbzyyitobm4GAFx33XX44osvcNll\nlxVVd1oJIv2FX/ocsaJqyqgqkCShyXqqGNJ9zVe1OHi1FFEJ96JDHdoDiI8b6sG+o34MUcyglKWx\nxoZYgoHFRMNIkzAbKVmLsjRapjL9fOC/Zk8cViHbBseVPsguTZGYOLwCXb4o6qusONEjnamQL1zL\nWTDxLQekSsg9DmkqFYhZTI3bgk5fKkwJX6AvBROGVcBoIJFIsop1OyxGBCPSrkQECHDgYDbSooDN\nxfcvXQdJELIBzvO5EZUSgiByrOTEF3nCcA8SSVbW2lFq/2oeUYHW/fJxhdVaowyvc+LgiUD+giVg\nVL0TOw564babMmPiv+uZDBQaq+3gOA7OAoLTS2G3GDB9bHVeSyolpOc/pfDt8keBtJutxgVc47Hg\neE+ooHPzoaSUU2d4J71++HssgZQyrxhXTYIgcNqoSrAcl/cZUUo07Yrl0NrW1tbC5/OBZVmQfRtS\nV1cXzGYznE5nTllxdr2uri5UV1fjo48+QiAQwPnnnw8AYFkWHMdh+vTpeOSRR/DDH/6w5H3/psCy\nHF5bvxv/teUogFRE/F9dNqVftaQ6Ojql56xJdairsOLpd7bDG4zhg38expHOXtx08aTcFzYdHZ1+\n4Vvf+haWL1+OX//615gyZQqef/55XHnllfjoo49QUaEcTFcrmzdvhsPhwIwZMzLHfv7znxddr8tm\ngqfv67lk5ieVMZ8MNCn7UlxOQ4J877tGAwUDRSpah3SKMoEBQJfEMUBZ+PE4TGgZV636HZwiyUxs\nP7Voeb9Pl2XzBPtNw3IcyLTEryCTa5UxnFZjRkiWcwHjB8xOZ7JTjsei3hVKrhqH1dinjCM0uUCq\nwWxKWd3kExRHN7qw/1hAMpD85JGV6PJHUFthxfZ9WQUKRRIYUmHLCOQUSQrcGNWg5hqOaxpcH61J\nQlq5rYQ5j1JRrcVbXYU1o3xSmw2vUKxmQ84+wt93WJbL7NmlRKgw0Y7Skhpe50A8wcBhNcp+NK1y\nmXH4ZK5bndA9tj8NVvLPAj/+Gt+1cVitA8FwAnYLjTGNbjAsV/QeQ5JEdn/uJzQpn5YsWSKIpZRI\nJPDEE0/AZhNq3ZYuXaq6zgkTJoCmaWzbtg3Tp08HAGzatCnzBY7PlClT8MILLwiObdmyBTfffDPO\nP/98zJ49O3N827ZtuOeee/CXv/xlUAfoHOzEEwz+uHYHtuxOKf0aqmz41WVT+i0ivo6OTnkZMcSJ\nhdfMwIr3vsTedj++3N+DJf++Cb+Ye1pZg1/q6OhIc8899+Dmm2/GBx98gCuvvBIrV67E2WefDQC4\n7777StrWkSNH0NDQgPfeew/PP/88EokE5syZg5tvvrmoD4417uwLs7RgJyPQa3L/GjgLzZSsUrr2\nx/PcyKQYaJcdPmmZTRhvRb5//HJag2QXA8cBNJ3tl6HPtUZp3Whxu1NarE5baSxHcppUWc5koDB2\nqAuf78xNCmU102gyp1zR+EI3RREYWmPPKJ/yeZBIz1X+vslZRJWLnCDyKs6haRLJuLziLa/bnQZ3\nyyEVNvQEo7Juq6VEfJ8OnAJGPekeVjjM6AlGYeUp/owGCs0jlWX8ukorSJKAkSYFme8E13CQDZ2m\nSEwdXQWG5QQfgk1GCtPHVklarp1KqFY+nX766TlWR9OmTYPX680JDK4Fs9mM2bNnY9GiRXjsscfQ\n0dGBlStXYtmyZQBSlk0OhwMmkwkXXHABnnrqKTz22GO4/PLLsXr1akQiEXz/+9/PsZQ6fvw4AJQl\nOOc3hd5IAr9/uxV72/0AgLFD3fi/cyfn9aPV0dE5tXDZTbjniml47ePd+Pu2Y+jwRrDkT5tw7UUT\ncPr4mvwV6OjolIwhQ4bgvffeQywWg9FoxGuvvYZ//OMfqK2txWmnnVbStsLhMA4ePIg333wTy5Yt\nQ2dnJx566CFYrVb867/+q+p6Ui/B/Oiy2TTeDtqI8U0e7Ol7lwBSigAp6w2aIgVBVY1GYXwV8W/l\nRCq4a5r6ahsC4ThYrnjLlqljqkrunqUVi5mWHC9NkznH6b5MV0NrHej2RwGklC2p7HK5dfjD8WzM\nLkZ+XuXSvqvBYMjtJ0kSaKyxw9cbh8mQynxFEAQoWrqfqXqonH5I1Q2k3O6K6bMaxO0aNFjokJxw\nnFJ9JQgiYxFmMqbWoMdhzmT/okRCLkkSaKh2gO6zSJTqn7id3PVTmjnLNzZ+n8Rl8/VhwnAP2g56\nUeE0y5ZtqnXgaGdI8rcEw6oe96hGF0ah/IonKUxG3twQwj5SffszVUJ3LJNJep9RgqZTa2pskxu+\nYAwuu0nzGmqsSXnq7DuWdXHk39ckJb8nFELOPcC7V9SsPwCw0/2rpAVKe62VUP20W7VqVdk6sWDB\nAjz88MO45ppr4HA4cPvtt2PWrFkAgJkzZ2LZsmW45JJLYLfb8dxzz2HRokV48803MW7cOLzwwgsw\nm3UrnFLT4Q3j395qzfjRzxhXjZ//aCIMdHlf9nR0dAYGmiJxzYXj0VTrwJ8/3o1onMGz732JPS2N\nuOy80f3qD66jo5OKc9nT04NNmzahsrKy5IonAKAoCqFQCE899RTq6uoAAEePHsXq1as1KZ8sFuGL\n8qhhlQJ3AI/Hhu5QArF4Kr11hccm+aLrDMQQSaY+QzfVOVBZIXTvt9my1vceT3ktM/lt8RlSZcPQ\nejfauyOCdN2F4nZbB8VHvakEiT1HfIJjdTVOtHcLXQWdfZnx6mudcDktoGkyY90mNWcn/TFMGFUN\nhuXAMKzsvBZzPX2RJHxhYYwtm82M6ioHzq0SBpx2BmKIJKRNHTxuK+wiyxxnMI6QhBWMw2nu9zWo\ntb2aqhBCkQTcdpPkuW6XBYkkK6jb3RMBI2MfZLEYMXlsLUiSQE8ogUBUuP7dbis8ogxzxY5BDrV7\ngcGcgM2WjbVGGui8ffAAaByi7B7o8dgQThxDPKHONbHca6UQ7EkWtmOpgPsmIyXZR6dTOaOdFhiW\ng61dW4wrjye7P1ZXFRfAnr9mKirssNlSH0QcTgtcwYQg418xiOfR6QyB61M+eTzWb7wsPeABx4GU\n9dP/Z+++w5sq+/+BvzOa0TbduxQoMwxtSxkiS4FHhkoRtzw8ChQUWS5+Ao6CoBTwEXlEkaGooAgC\nouBgqF+WKJuCpWJbVpktdDdNmuT8/ggNTZPSpk2apn2/rouL5uTOyefkTk7ufM495s2bZ3O4Xlpa\nmsXtO+64A5s2bap2n927d8epU6ccFmNT8vf5XCzZdALFpaYv8gHxzfDkgLZu272PiGru3rhIRAV7\nY+l3J5FbqMXOw1nIvFyACQmdEejLRD+Rs3z44Yf44osvsH79erRo0QJHjhzB+PHjUVRk+uHUs2dP\nLF261KEX3EJCQiCXy82JJwCIjo7GlStX7NqPRqOzGGpSVGg9t5GmRAfNzUm48/JKbLYpCgtKUXxz\nnhpB74ncXMueBcUV5rCpfJ+jFduYLwcA9D4y5OYWo7i4tMY/PG8nP78EWo3rm+NKqQglJVqLYXKF\nhRq0DvNGSoW5gYqKS+Hvo0BBgQYGgxE6AOXTfVf1mmWcu46/z1smtvy8ZcgrujUpdl3qs6iw1Oq5\nC6Uim/u0VbZcfr4GZVrL+WGKi2yXl4md/x5sFeZtMS+Tvc/XOswbZXojpBLbr0VkgBJp53IR5Kc0\n319SorU6XrFYBKVSBo1Gh7y8YohEIhTaes0LNPCoNIapchlHvWY1PReUlOotyooFI3L9HHMOzc2z\nPYdbOX+VHGEBnlAqpE5/r9RW+WtjKJNYxCiRiOHjozR/zh39fHKZBEqZxOIcYIsjz48V3wd5ecXm\n23l5JSgo1FQ1z7fdKtd1kEqGy9cK4amQoqiw1DFP4gTlde5srv+2owZl34nL+OynNBiMAkQi4MkB\nbTGwK4cuEjUlbZr5Iml0N6zYkoq/ztxA5qUCzFp1AE8PVqMrh+EROdy6devw8ccf45lnnjHPUzlz\n5kwoFAp8/fXXUKlUmDx5MpYvX44pU6Y47HljYmKg1Wpx7tw5tGjRAgCQkZGByMhIu/ZjNArmyYk7\ntgyAXm/9Y6VlmAonz1yHp9wDRqNgc16UUq3evB+xCFb7EYtEKDOYelvYeg5HqmqyZa3WAL3eCKNB\nsHtCZpvPoxegFzv3WGqq8pV/w81VwCoep9FgqjeDwWhVB1W9Hqlnb1htq/ieAepWnwaD0eq59Tbi\nM5Wtut5sHlMV5Y1GwenvQUWl1742zyeC6RhsTWzjKZcirq1pDpnyfecX6Wwcr6nXhtEomPdl6zUX\nbLwmVvXioNfMW+mB/GItAn0Ut91n5TjDA70cFkN1n3+jUYD3zcmjnf1eqS1/bzluFJaiRZiqis+L\n7c9RbYX4KZGTX4pW4T5QyiXmoYuXrpv+l0sl0Opv9ahz5Pmx8nms/HZhseN6PQHWdS2XShDTOggS\niajBvg/qE8dREADTRHMbd2Xgkx9OwWAUIJdJMPWRO5l4ImqifDxlePHRGAzvHQ0RgOJSPT7afBKr\nfjyFUp31EuJEVHvffPMNpk+fjpdffhne3t44ceIEzp49i1GjRqFNmzYIDQ3FhAkT8MMPPzj0eaOj\no9GvXz9Mnz4daWlp2LNnD1asWIGnnnqq1vusaplub6UH4toGo3N01Sv2BfjcGhahsDGnU4cW/gjy\nUaJjC8eu+mePqi6Oh1YablRjDbRTuURse14uR8197tBJ1O1ara/q+2xNJO3qud7bNTMN/wpQOafn\nceV6kNdwPh1fb+vhk/U5MX67KF+0j/JH64jbz5dUuU69FPXX76K6ickbgjbNfNG1fUiV521HaxGm\nQnz7YHgrPSARi9E8VGWxyp5n5fpx4EsYHW6aGzoyyPvmrk07L5/jrCZqu9CFh1TsFu+H+sCeTwRt\nmQErt6bi8N+mCeUDfeSY+kiMeYI2ImqaxGIRhvWORrsoP6zYmorcQi32pFzG3xfy8OywTuYvciKq\nm4yMDPOKdgDwxx9/QCQSoV+/fuZtbdq0waVLlxz+3O+++y7mzp2LkSNHQqlUYtSoURg5cmSt9lVd\n47q6Jc2D/JQwGAV4KjxsTgDrqZCiTbP6nZzXQyJGWYWr4uWrgEkkIuBmHj7IV4mWYSqUaPUoLKn5\nDxmgYeWeQv09cTXXNIiuU0t/89BIPy858qoYqlZbdV0ivCJbs0LUZgiNzMP2pNy21NfvyAAfBeLa\nBkPm5MnNy4UHeSH/fPXvYV8vGdpE+iL94q2FBOpzeg6JWGyRtKhK5XqS1GOM7pJrcPW0KhU7wSrl\nUuQW3TrXODKyUH9PBPoozEl1kch0ntDenLuv8rnelvbN/ZB23nKhtfKV+Khm2POpicvO0+Cd1YfN\niafocB+8/p+uTDwRkZm6hT/eGtvdPOTuWq7pvLH197N2LSlMRFWr+CP30KFD8Hn4b9IAACAASURB\nVPX1hVqtNm8rLi6GUun4+Ri8vb2RnJyMw4cPY+/evZgwYUKt91XXng9ikQjhgV7wddJS9fZoFe4D\nlacMHSr1sipfkrxios3HSwaRSFSrRnVD+oHaPNQbrSJ8Edc22GIS9Io/Tm9Xx/b0/vJw0SIWpTrb\nk8R3bR9i89iqOtza9oCoDbmHpN56FcnsmAw5yFcJzworNTak93K5yq9bffbOqs/ncmcqTw94yqWQ\ne0gQEWQ5WbejX8OKvTnL9y3c7M9ak4nAbV1gEYtF8Ls5mbm/jR6BZIk9n5qwv87ewMebT5onFu+m\nDsHY+ztAZsdSrkTUNHgpPDAhoRN+bx2INTtOQ6szYNPuTBxPz8EzQ9SIDGbCmqi22rVrhyNHjqBF\nixYoKCjAn3/+iQEDBliU+emnn9CuXTsXRVi10EBPZJZPWuuAOZAaihB/T4TYSKaU//io2IOi/K8A\nXwXy7ez51JBIxGKE+FknOIN8b13ZtzUcslyLUBXkHhKcv1ZY7XM5sueTPT9Q86vowVXViq5NLX1g\n74rzesOtC1ANcVVcV+Z/SipNXk+2iUUi3NHKNNehdbLQec9b+ftKKqn+yWzFI5OK0TJMhRsFpfBj\n8qlaDeIsodPpMHPmTHTr1g19+vTBqlWrqiybmpqKxx57DLGxsXj00Ufx119/Wdy/fPlyDBgwAPHx\n8Rg9ejQyMjKcHb7bEQQBP/95Hu+tO4biUj1EAB65pzWeS+jExBMRVUkkEqHXHeGYNbobWkWYhtxl\nXCrArFUHsXlPpnnJZiKyz8iRI/HWW2/hnXfewdixY6HT6fD0008DAK5evYqVK1fik08+waOPPuri\nSK0p5U3rOmZ4oOnKvNhG8slW4qY6jlphyZkCfBRoG+mHTi0DbptgEItFVj0XqiK/TRLLXrZ+EApV\nvLDNguy7UFLlsLsG8QvK8eydl6bi58DW0MD6mkuoKhWPR2pvZs2OfdtSpGHyqaZEIpHLe4pJJWK0\nCFXdtkzlIYpKmRQRQV6QSsQI8ffk7+gaaBCnzvnz5yM1NRWrV69GUlISlixZgu3bt1uV02g0GD9+\nPLp164ZNmzYhNjYWzz77LEpLTVdj1q5di88++wxvvvkmNm3ahMjISIwbNw5arWPHqbszbZkBy7ek\nYv1v6RAE00oXLz4Wg6F3tXD5h56I3EOovydm/LsLHrmnNTykYhiMAr7fdxazPzuItHO51e+AiCwM\nGzYMr732Gg4fPgwAWLRoEe68804AwLJly/D+++9j3LhxSEhIcGWYNjW1lkN5jx2LOaluvggikcju\niaHdpekV6KuAyoGJBEe2Oe3Zk6+3fcdQVZi+Lk6qOIu98/+0ivC52WPO02adto6s3znaKqsYkqM/\na1GcosTp6vP8KBGLbjsnWIBKYTHc1lPugZg2QQ2yx19D5vJXS6PRYMOGDXj99dehVqsxcOBAJCYm\nYs2aNVZlf/jhByiVSkybNg2tWrXCa6+9Bi8vL/z8888AgM2bN2Ps2LHo168fWrRogVmzZiE3NxdH\njhyp78NqkK7eKME7qw/jz9SrAIDIYC+8+UxXdL7Z1ZGIqKYkYjGG3tUCb43pDnVz02o8l3KKsWDt\nUXz07Qnk5GlcHCGRe3nkkUewceNGfPPNNxg0aJB5+7PPPos9e/Zg6tSpTo9h/PjxmDFjhl2PaarT\nvlX8kV6xB4Q9P0jDA7xqNM+IuwkPqL73k0N/U9rxC9VWcuV2PWKqSpL51WCya3dkb/LJx1OG+PbB\n5t7QlVW3yICzVaw/Z/bSrK7HDNWch+TWe8aZc6uFBVgOqxaJRFW+/yMCvRAd7mORnKrPlRMbE5cn\nn9LS0mAwGBAbG2veFh8fj5SUFKuyKSkpiI+Pt9jWpUsXHD16FADw6quv4oEHHjDfV37CKSysfux5\nY/dn6lXM+uwgLlwrAgB0VYfgtVHxNuczICKqqdAAT7zyZByeGaKGt9I0Qe2hv7Px2so/sWl3JjRa\nvYsjJHJvoaGh8Pf3d/rz/PDDD9i9e7fdj9NXszpQY1VVvqOmP3CDfJRoEdY4f7DW5LhEolsTlMvr\nmICz58dM5aFS/t5ydGxZ9eerqp++rl4hzFlqsxx8dY9pFe4DD4kY7Zr51TasOokI9IKXwqPKBFlt\nVUxs1eZ1I9ss5oNz4stauc5EIthcZRUAmoeq4CEVQy6TIDzAC75eckQG12yIMVlyecouOzsbfn5+\nkEpvhRIYGAitVovc3FyLBte1a9esJtsMDAxEeno6AFMiqqL169fDYDBYJayaEl2ZAV//8g/+75hp\neWaJWISH+7XGoO5RHGZHRA4hFonQNyYC8e2D8d3eM/j18EWU6Y3Y+vtZ/HYkC0PvaoH+8c1cfgWU\niGzLz8/HwoULzUP97KGtYvWwxs6zwlVvzvNhLSLQC5euF1d5v0gkQotQFVSeHnWfF8jmnE+2i1ZM\nGsmlErRvXk1it4qmMpMNNVfV5P31pbmTeiUF+SpwMdt0UT/QV4EzVwqc8jxNTZtIH5w8cwMqT5lT\nP2dVrVxXncZ60aC+uDz5pNFoIJNZfumU39bpLFcMKS0ttVm2cjkAOH78OBYsWIDExEQEBjbNYWVX\nbpRg6eaT5t5OAT5yPJfQGW1cPP6aiBonL4UHnhrYDv1iI7Hul39w8swNFJfq8c3/ZWDbwQu4/64W\n6BsT4dCJZomo7ubPn4+EhARcu3bN7sf6qeQ454SYGrpAHwXyi3TwlEvNvT7t0shzF57V9AATiUw/\n9IJ87Z+k3YodQz8r/raU1mDFPV6oBVqGq5BdoIPMw+UDZhoUqUSM2LZBAGz3mGkZ5tieVk2Fp8ID\nXduHOL13oUhs3fOJnM/lySe5XG6VPCq/rVQqa1RWobCc3PHo0aMYP348+vXrhylTpjgh6oZv/19X\n8MW2v81XJGPbBGHM/R1q10AiIrJDZJAXXno8Fn+fz8Wm3Zn4JysfBcU6rP3lH3y/7wzu7dIMA+Kb\nwdercU7YSuRO9u/fj8OHD2PLli1ISkqy+/FhgV447oS4GjqpRIx2UbaHEXnKPZr8MuvVJW0c+TvP\nVs+zqvJRUokYHhIxygxGNK/B/Fz8PWqaGyci1Be6UuuL/U1dVcO0ACDYz77FB+iW+hjWWvkpxCJR\nlatkkuO4PPkUGhqKvLw8GI1GiG9+gHNycqBQKODj42NVNjs722JbTk4OgoODzbf//PNPPPfcc+jT\npw/++9//Ov8AGpgiTRnWbP8bB06Zrl5KxCI8ck9r3NeNw+yIqH61b+6P6SO74K8zN/DtnjM4c7kA\nxaV6bP39LH7+8zx6dAxBnzsj0LaZL89PRC6g0+kwa9YsJCUlWfUsr6nbrQ7UVLWP8sOl68VQyCQ4\nd7Vpzjta3Sndked8Hy8ZosN9UKo14PIN01C/qt6WIpEId7QKhE5vrNEFWVth2ruiobsTiUTwU8mR\nq9dDr2+ac7zVBodmNmyVv7vCAz0hEZuS0wajAJmHBKU6PZQyl6dLGhWXv5odOnSAVCrFsWPHzHM2\nHTp0CJ07d7YqGxMTgxUrVlhsO3LkCCZMmAAAOH36NJ5//nncc889+O9//2tOZjUVf529gU9/OIXc\nQi0A01jkZ4d1cvkyp0TUdIlEInRuFYhO0QH4+3wefj5wHikZ16E3GLHvxBXsO3EFoQGe6HNnOHp0\nCEWgb9Nq1BO50gcffIDOnTvj7rvvrtN+IkO8cfFaEQJ8FDUayuRuKvZuqMnxSaVitPX0Q0GxDpJs\n2/MeKeVSt3ytJDeXFZdUs7y4VCq2eN1i2wbh2D85Fvc78vgjg029mDQ6PUq0erRu5lvl/qVSMWo6\nA5FUKjEfh79KjuhwH8g8xI36gknl3jw1rfOmrvLr5uHGc8E1hTpXyKXmOgvwkUOpMCWj49UhMBoF\niMUi5OSXwl8ld8tztb3qq65FQgPoX5aUlIQjR47gnXfewdWrVzF9+nQkJydj4MCByMnJgUqlglwu\nR1FREQYNGoT7778fjz/+ONauXYtt27Zhx44dUCgUeOKJJ1BcXIyVK1dCUmGZxvLH10R2tvtdoSop\n1WPjrgz8dvSieVvvO8Px5IC2Tl1WlIioNi5mF2HHoQv489Q1q8mKW4apEN8+GF3aBSMswLNRN/DJ\nuYKDOSlodQYMGIDr16+bP2dlZaahYjKZDEeOHKnxfgRBQEGxzjRBbCPsCZVbUIq/z+eieagKEcHV\nD9Uql1+kxbHT2VbblXIpuqhDIG3EP+xuFJTiRPqtZFOf2EjsOXarndqjUxgUTmijCoIAo+C4Hnk5\neRr8lXkdgGl1V3XLAIfstyHbdSTL/HdYoCfat2j8x+wIFV83AOjXpZmLIqGaqHh+bhXpiygnTUxP\nlhpE8qm0tBSzZ8/Gtm3boFKpkJiYiFGjRgEA1Go1kpOTMXz4cADAiRMnkJSUhMzMTLRv3x6zZ8+G\nWq1GTk4O+vTpY3P/8+bNMz++Ou6UfBIEAUdOZ2PNjtPILzKNw/ZWeuCZIWp0aRdczaOJiFxLqzPg\nYNo17Em5hH+y8q3uD/RRoFO0Pzq2DIC6uT98OEcU2YHJp+pdvnwZer3efHvhwoUAgGnTpiEqKqrG\n+yko0MBg4HCcykp1ehw9bUrARIV440ahFt5KKVpFuG+PdIlEDB8fZbV1nl+kRerZXPPtnp3DsP/k\nFfPtLu2D3WIF1LwiLU7dPI6oEG80q8E8Ue6uYj3Ftg2Ct6esRnXe1FV83aIjfBAW4LoV/uqqpp9z\nd5dxMR9leiPaRfk1ygsn9iivc2drEMmnhsRdkk/ZeRp8/cs/OFqhC3M3dQieGtgWvt416+VFRNRQ\n5ORpcOR0Ng6fzkZ6Vr7NyWKDfBVoGe6D6HAVWoSqEBnkBR8vGXtHkU1MPtlvxowZAEwX7eyRm1vM\nuWCqcPVGCbRlBkSFeDeKc5VUKoa/v1e1dV5QrEPquRvm23d1DMMfqbd+nHdt7x49v4yCgL/P5aJE\nq0fnVoFukTCrq4r1FNvGlHyqSZ03dZevFyOvSIfWET42J8F3JzX9nFPjUV7nTn8epz8DOZRGq8fW\n/Wex42AW9Dcz0YE+cvz7vvaIaRPk2uCIiGopyE+J+7o3x33dmyO/SIuUzOs4dS4XqWdzUVBs6tmZ\nk1+KnPxSHEq7tRy8t9IDEUFeCPVXItBXgSBfBYJ8lQj0UcBfJW/yV7KIyLVC3bj3Q11Ul2dzh8QT\nYJo0Wt3Cv1EkDmuDk2bXXHigF8IDnf/jncidMfnkJvQGI/amXMbmPZkoKDHNySAWiTAgvhke6hsN\nBWfiJ6JGwtdbjj53RqDPnREQBAFZ2cVIv5iPM5cKcOZKAS7lFKO8z26RpgynL+Th9IU8q/2IRSL4\nesvg5y2Hn7cM/ir5zb/lN/+WwU8lh6dc2mR/WBBVZG+PJ6KqNKZzamM6Fns15WMnIsdjxqKBK9Mb\nse/EZfyw/xyuF5Sat8e0DsRj/dsww05EjZpIJEJUiDeiQrxxb1wkANNcUZeuFyMruwiXcopxKacE\nOfka5OSXoqxC93CjICC3UGteAbQqMqnYnKDyq5Cg8lPJ4O8tN29rCsMtiIgcoWLOQgTTDV9PGfJL\ndPBWergoKrIXc09E5EhMPjVQxaVl2HfiCrYdOG/xw6lZsBceH9AWnZrAahtERLbIZRJEh/sgOtzH\nYrsgCCgsKUNOfimuF5Tien4p8opMyae8Iu3Nv3XmIcvldHojruVpcC1Pc9vn9fOWISzAE2EBngi9\n+X9YgCeC/BRWSywTETVl5Qkn4FYCo1WkL3ILtfDn3KRug0PXiciRmHxqQARBQPrFfOw6dgkH065Z\nXMGPCvHGg3e3RJf2wRx/TURkg0gkgo+XDD5eMrSK8LFZRhAEFJfqKySjtMgr0plum5NUOuQX6WCs\ntB6HqZwOaecth/hJxCIE+ynNyaiwQE+E+isRFugFH08PDlsgoian4mmvvN0q95C49QpgTRF/cxCR\nIzWI5JNOp8OsWbOwY8cOKBQKjBkzBqNHj7ZZNjU1FbNmzcLp06fRtm1bzJo1C506dTLfv3XrVixe\nvBjZ2dno3bs35syZA39///o6FLsZjaaE05HT2Tj2T47VlffocB88cHcLxLYJ4g8YIqI6EolE8FZ6\nwFvpgWbBVS+ZbTQKKCzRIbdIi7xCHa4XlOJqbgmu3CjB1RslyMkvNc87ZTAKuHLDdF9lSrkEof6m\nhFSYf3liypSkkss4jI9c7+rVq3j77bfx559/QqFQYMiQIXjppZcgk8lcHRq5MYthd2y+EhERGkjy\naf78+UhNTcXq1auRlZWFV199FZGRkbjvvvssymk0GowfPx4JCQlITk7G2rVr8eyzz2Lnzp1QKBRI\nSUnB66+/jrfeegtqtRpz5szBjBkz8PHHH7voyKzpDUacv1qE9Kw8/HMxH3+fz0ORpsyijFwmQc+O\noegXG4kWYVwqmoiovonFIvh6y+HrLQfCrO8vuzlU78r1ElNS6noJrtz8v+I5XaM14OyVQpy9Umi1\nDz9vGQJ9FAjwUSDAR44AlelvP5UMKqUHvJUyKOUSXnggp5oyZQr8/Pzw1VdfIS8vDzNnzoREIsG0\nadNcHRq5sYrnLQ7dIiIioAEknzQaDTZs2IBPPvkEarUaarUaiYmJWLNmjVXy6YcffoBSqTQ3iF57\n7TXs3r0bP//8M4YPH44vv/wSQ4YMwbBhwwAACxcuxL333ouLFy8iMjLSqcdhNArQG4zQGwSU6vTI\nL9ahsESH/GIdsm/+QLl8owRXb2is5hsBTBPedooOQFzbYHRVB3P1OiKiBsxDKkZkkBcig6wXfSjS\nlOHqzZ5Q5sTUDQ2u5pZYDKcuH8aXcamgyueRiEXwutlTSyGTQCYVQ+YhgYdUDJlUDA+pBDIPMWRS\nCaQSESQSMaQSEaRiMaRSMaRiEaQSMSQS0//lZTzKt4lvlpeIIZWI4amQQiFjwqupyMzMREpKCvbt\n24eAANNcklOmTMGCBQuYfCKHkUnZy9OdyKQS6PQGV4dBRI2QyzMcaWlpMBgMiI2NNW+Lj4/HsmXL\nrMqmpKQgPj7eYluXLl1w9OhRDB8+HMeOHcOzzz5rvi8sLAzh4eE4fvy405JP3+87g62/n4XeIFRf\nuAIRgIhgL7SN9MUdrQLRMTqAKykRETUC3koPeEf6onWkr8V2oyAgt0BrHqJ3LVeDG4WluFFQihsF\nWuQX66z2ZTAKKCjWocDGfc4iFongqZDCUyGFl0IKT4UHvBRSeCk8zIkwb6UU3koPeClMt72UHvBU\nSDk/iJsJDg7GypUrzYkn4ObE/YXWPfWI7OEhNSW5ywxGRIVWPcSZGp72zf1w+kIegn2Vrg6FiBoZ\nlyefsrOz4efnB6n0ViiBgYHQarXIzc21mK/p2rVraNeuncXjAwMDkZ6ebt5XSEiIxf1BQUG4cuWK\n0+I/kXG92sSTQiZBeOCtlZFahPmgTaQPPBVcapaIqKkQi0QI9FUg0FeBTtHWK5aW6Y3ILSxFQXEZ\nCjU6FGnKbv0rKYO2zIAyvRG6MgN0eqPpX/k2vRGGm71v9QYjDEb7LohUZBQE8/PaQySCKUGlkJoT\nUl4KD8g8xDd7alXssWXqwVWerBJQIV7h1n9GQYBgFGAwCjAKpl7GRkEw/V/+t2C6XzCayneKDsAd\nrQJrffxNiUqlQq9evcy3BUHAmjVrcPfdd7swKmoMxCIR7mgViDKDEV5s77oVL4UH4toGuzoMImqE\nXJ580mg0VpNalt/W6Syv9JaWltosW16uuvud4dmETjiefh0AzEMX5B4S+HjJoPL0gK+XDEq5lEMY\niIjotjykYoT4eyLEAWtkCDcTMvoKCSm9wQiDocI2oxF6vRF6owCDwYgyvRElpXoUl+pRoi0z/V+q\nR3Fpmen/mwmpklI9bKW2BAHmpNXVXI2NEvXj1yMX8eGLfVz2/O5swYIFSEtLw8aNG10dCjUCMg8J\nZOzVT0REN7k8+SSXy62SQ+W3lUpljcoqFIoa3e8MQb5KDIhv5rT9ExER2UskEpkviDia0SigRKu3\n6JlVXPnvm8mq4tKym721jCgzGFGmN0BXVvueWRKxCCKRCBKxCGKxqXeFWCyy+D+uXRA8OMeM3RYu\nXIjVq1fj/fffR+vWre16rMQJ7zNqmMrrmnXedLDOmx7WedNTX3Xt8uRTaGgo8vLyYDQaIRabDjon\nJwcKhQI+Pj5WZbOzsy225eTkIDjY1DU0JCQEOTk5VvdXHop3O8HBXF2OiIiImo45c+Zg3bp1WLhw\nIQYOHGj34318ODdMU8M6b3pY500P65wczeXpzA4dOkAqleLYsWPmbYcOHULnzp2tysbExODo0aMW\n244cOYK4uDgAQGxsLA4fPmy+7/Lly7hy5QpiYmKcFD0RERGR+1qyZAnWrVuHRYsWYciQIa4Oh4iI\niBoplyefFAoFEhISkJSUhBMnTmDnzp1YtWoVnn76aQCmnktarRYAMGjQIBQWFuKdd95BRkYG5s6d\nC41Gg8GDBwMAnnzySXz33XfYsGED0tLS8Oqrr+Lee+912kp3RERERO4qIyMDS5cuxfjx4xEXF4ec\nnBzzPyIiIiJHEgmCUPslcRyktLQUs2fPxrZt26BSqZCYmIhRo0YBANRqNZKTkzF8+HAAwIkTJ5CU\nlITMzEy0b98es2fPhlqtNu9r8+bNWLx4MfLz89G7d2/MmTMHvr6+Np+XiIiIqKlavnw5Fi1aZLFN\nEASIRCKcOnXKRVERERFRY9Qgkk9ERERERERERNQ4uXzYHRERERERERERNV5MPhERERERERERkdMw\n+URERERERERERE7D5BMRERERERERETkNk09EREREREREROQ0TD4BuHr1KqZMmYIePXqgX79+SE5O\nhk6nc3VYTjF+/HjMmDHD1WE4lE6nw+zZs9G9e3f07t3batlod3blyhU899xziI+Px4ABA/D555+7\nOiSH0Ol0ePDBB3Hw4EHztqysLIwePRpxcXF44IEHsG/fPhdGWDe2ju/YsWN44oknEBcXhyFDhuCb\nb75xYYS1Z+vYyhUVFaFv377YvHmzCyJzDFvHd/nyZYwbNw6xsbEYNGgQfvrpJxdGWHu2ju3QoUMY\nMWIE4uLi8NBDD2H//v0ujLB2bvcd3pjOKw2NTqfDzJkz0a1bN/Tp0werVq1ydUhURzt37oRarUaH\nDh3M/0+dOhVA9Z+l33//HQ8++CBiY2PxzDPP4MKFC644BKqh2rTDqqvjzz77DH379kV8fDxee+01\naLXaejkWqhlbdT537lyrz/yXX35pvp917p7q0i5ydp0z+QRgypQp0Gq1+Oqrr/Dee+/ht99+w+LF\ni10dlsP98MMP2L17t6vDcLi5c+di//79+PTTT/Huu+9i/fr1WL9+vavDcoipU6fCy8sL3377LWbO\nnIn3338fO3fudHVYdaLT6fDSSy8hPT3dYvvEiRMREhKCjRs3YtiwYZg0aRKuXLnioihrz9bx5eTk\nYPz48bjrrrvw3XffYfLkyZg7dy527drlwkjtV1XdlVuwYAGys7PrOSrHsXV8BoMB48ePh1wux+bN\nmzFmzBhMmzatytegobJ1bDdu3MCECRPw4IMPYsuWLRg8eDCef/55XL161YWR2u923+HPP/98oziv\nNETz589HamoqVq9ejaSkJCxZsgTbt293dVhUB+np6ejfvz/27duHffv2Ye/evXj77bcB3P6zdPny\nZUycOBEPP/wwNm7cCH9/f0ycONGVh0K3UZt2WHV1vG3bNnz00UeYM2cOPv/8cxw/fhwLFy6s1+Oi\nqlVV55mZmXjllVewd+9e82f+kUceAcA6d2e1bRfVS50LTVxGRoagVquF69evm7dt3bpV6Nu3rwuj\ncry8vDyhX79+wqOPPipMnz7d1eE4TF5entCpUyfh4MGD5m3Lly8XZs6c6cKoHCM/P19o37698M8/\n/5i3TZ48WZgzZ44Lo6qb9PR0ISEhQUhISBDUarVw4MABQRAE4ffffxfi4uKE0tJSc9lnnnlG+OCD\nD1wVaq1UdXxr164Vhg4dalH2jTfeEF555RVXhFkrVR1buYMHDwr33Xef0Lt3b+Hbb791UZS1V9Xx\n7dy5U+jWrZtQXFxsLjtx4kRh/fr1rgrVblUd244dO4S77rrLomz37t2Fbdu2uSLMWrndd/j+/fsb\nxXmlISopKRHuvPNOi+/ejz76SBg1apQLo6K6euWVV4T33nvPant139Hvv/++Rd1rNBqhS5cuVt8T\n5Hq1bYdVV8cjR44UlixZYr7/0KFDQkxMjMX+yDVu137r27evsG/fPpuPW7x4MevcDdWlXVQfn/Mm\n3/MpODgYK1euREBAgHmbIAgoLCx0YVSON3/+fCQkJKB169auDsWhDh8+DJVKha5du5q3jRs3znyl\nzp0pFAoolUps3LgRer0emZmZOHLkCDp27Ojq0GrtwIED6NmzJ9atWwdBEMzbU1JS0KlTJ8jlcvO2\n+Ph4HDt2zBVh1lpVx9e3b1/MmzfPqrw7nWeqOjbAdEXtzTffRFJSEjw8PFwUYd1UdXwHDx7EXXfd\nBU9PT/O2JUuW4NFHH3VFmLVS1bH5+fkhLy8PO3bsAGAaclNSUoJ27dq5KlS72foOB0yfrePHjzeK\n80pDlJaWBoPBgNjYWPO2+Ph4pKSkuDAqqquMjAxER0dbba/uOzolJQXdunUz36dQKNCxY0ccPXrU\n+UGTXWrbDrtdHRuNRpw4ccKiLR4bG4uysjKkpaXVw1HR7VRV50VFRbh69Spatmxp83HHjx9nnbuh\nurSL6uNzLq3tgTUWKpUKvXr1Mt8WBAFr1qzB3Xff7cKoHGv//v04fPgwtmzZgqSkJFeH41AXLlxA\nZGQkNm/ejGXLlqGsrAwjRozAhAkTIBKJXB1enchkMrz55pt466238MUXX8BgMGDEiBEYMWKEq0Or\ntSeffNLm9uzsbISEhFhsCwwMdLvhP1UdX0REBCIiIsy3r1+/jh9//BFTTlc4GAAAIABJREFUpkyp\nr9DqrKpjA4CPP/4YnTp1cuvzZlXHd+HCBTRr1gz//e9/8d133yEgIACTJk3CwIED6znC2qvq2Lp2\n7YqnnnoKU6ZMgVgshtFoxLx586psiDZEVX2H9+zZs9GcVxqi7Oxs+Pn5QSq91YwMDAyEVqtFbm4u\n/P39XRgd1daZM2ewZ88eLF26FEajEYMHD8aUKVOq/Sxdu3bN6v6goCB+1hqg2rbDblfHBQUF0Gq1\nFvdLJBL4+fnhypUriImJcfBRkD2qqvPMzEyIRCIsXboUu3fvhp+fH0aPHo3hw4cDYJ27q7q0i+qj\nzpt88qmyBQsWIC0tDRs3bnR1KA6h0+kwa9YsJCUlQSaTuTochyspKcHZs2exfv16JCcnIzs7G2+8\n8QY8PT3xzDPPuDq8OsvIyED//v0xduxYnD59GnPmzMHdd9+NBx54wNWhOZRGo7F6f8pkskY58b9W\nq8XkyZMREhKCxx9/3NXh1Fl6ejrWr1+P77//3tWhOEVJSQk2bdqEoUOHYtmyZfjjjz8wdepUrF+/\nHp06dXJ1eHVSXFyMCxcuYMqUKbjnnnuwfft2zJkzBzExMTZ7P7iDBQsW4NSpU9iwYQNWrVrVZM4r\n9a2qczYAvr5u6tKlSygtLYVcLsfixYuRlZWFt99+G6WlpdV+R5eWlvKz5ubqUselpaXm21U9nhqe\nzMxMiMVitG7dGqNGjcKBAwfwxhtvwNvbGwMHDmSdNxL2tIvqo86ZfKpg4cKFWL16Nd5///1GMzzt\ngw8+QOfOnd26R8LtSCQSFBcX47333kNYWBgA4OLFi1i7dq3bJ5/279+PDRs2YPfu3ZDJZOjYsSOu\nXLmCpUuXNrrkk1wuR35+vsU2nU4HhULhooico6SkBBMmTMD58+exdu1ai26v7uqNN97AlClTrLr3\nNhYSiQT+/v6YPXs2AKBDhw44dOgQ1q1bh7feesvF0dXNihUrAAATJkwAYDq248eP44svvnDLXrIV\nv8PbtGnTZM4rriCXy60am+W3lUqlK0KiOoqIiMCff/4JHx8fAIBarYbRaMS0adMwYsQIFBQUWJSv\n+Fmq6v1Qvi9q+Ko7X96ujqtKPOt0Op4PGrDhw4ejf//+5s9pu3btcPbsWaxduxYDBw5knTcC9raL\n6qPOm/ycT+XKZ21fuHChWw2nqM6PP/6IX375BXFxcYiLi8OWLVuwZcsWdOnSxdWhOURISAjkcrk5\n8QQA0dHRjWI1o7/++gstW7a0yDB36NABly5dcmFUzhEaGmq1SlpOTg6Cg4NdFJHjFRUVYcyYMcjI\nyMDnn3+OqKgoV4dUZ5cuXcLRo0eRnJxsPsdcvnwZSUlJGD9+vKvDc4jg4GCrYWiN5RyTmpoKtVpt\nsc1dzzG2vsObwnnFVUJDQ5GXlwej0WjelpOTA4VCwYSDG6tcd61bt4ZWq0VQUNBtP0v8rLm/6urw\ndvf7+/tDLpcjJyfHfJ/BYEBeXh7fAw1c5c98q1atcO3aNQCsc3dXm3ZRfdQ5k08wTR67bt06LFq0\nCEOGDHF1OA61Zs0abNmyBd9//z2+//579O/fH/3798d3333n6tAcIiYmBlqtFufOnTNvy8jIQGRk\npAujcoyQkBCcO3cOer3evC0zMxPNmjVzYVTOERMTg9TUVIts+uHDhy0ms3VngiBg0qRJuHjxItas\nWdNoelaGhYVhx44d+O6778znmJCQEEydOhVz5851dXgOERsbi3/++cdiks7GdI6xteyyu51jqvoO\nb+znFVfq0KEDpFKpxeTthw4dQufOnV0YFdXF3r170aNHD2i1WvO21NRU+Pv7o2vXrvjrr7+q/CzF\nxMTgyJEj5vs0Gg1SU1P5WXMj1Z0vq6rjuLg4iEQi3HHHHTh8+LD5/qNHj8LDw8PqAgc1HP/73/8w\nevRoi22nTp0yD7tnnbuv2raL6qPOm3zyKSMjA0uXLsX48eMRFxeHnJwc87/GIDw8HFFRUeZ/Xl5e\n8PLyahS9LgBTD4R+/fph+vTpSEtLw549e7BixQo89dRTrg6tzvr37w+pVIrXX38dZ8+exa+//opl\ny5bhP//5j6tDc7ju3bsjPDwc06dPR3p6OpYvX44TJ07gkUcecXVoDvHNN9/gwIEDmDt3Lry9vc3n\nmMpdX92NWCy2OL9ERUVBIpEgICDAasJCd3X//ffDaDRi1qxZOH/+PL788kvs2bOnUczX9eijj2L3\n7t34/PPPceHCBXz22WfYu3evW50/b/cd3tjPK66kUCiQkJCApKQknDhxAjt37sSqVavw9NNPuzo0\nqqW4uDgolUq89tprOHPmDHbt2oWFCxdi3Lhx6Nat220/Sw8//DCOHDmCFStWID09HTNmzEDz5s3R\nvXt3Fx8V1VR150tbdRwVFWVeGeupp57CJ598gp07dyIlJQWzZ8/GY4891iimF2is7r33Xhw8eBCr\nVq3ChQsX8NVXX+H7779HYmIiANa5u6pLu6he6lxo4pYtWyao1WqLf+3btxfUarWrQ3OK6dOnC9On\nT3d1GA5VWFgovPrqq0KXLl2EXr16CR999JGrQ3KY9PR0YcyYMULXrl2F++67T/jiiy9cHZLDqNVq\n4cCBA+bb58+fF/79738Ld955p/DAAw8I+/fvd2F0dadWq4WDBw8KgiAIY8eOtTrPqNVqYdSoUS6O\nsnYq111F/fv3F7799tt6jsixKh9fenq6+b05ePBgYceOHS6Mrm4qH9uvv/4qJCQkCHFxccKIESPc\n7nNX3Xf4uXPnGtV5pSHRaDTC9OnThbi4OKFv376N6vupqSpvc3Tp0kXo06eP8OGHH5rvq+47evfu\n3cKgQYOE2NhYYcyYMUJWVlZ9h092srcdVl0dL1++XLj77ruFbt26Ca+//rqg1Wrr5Tio5irX+S+/\n/CIMGzZMiImJEYYOHWrVvmGdu5+6toucXeciQagwloCIiIiIiIiIiMiBmvywOyIiIiIiIiIich4m\nn4iIiIiIiIiIyGmYfCIiIiIiIiIiIqdh8omIiIiIiIiIiJyGySciIiIiIiIiInIaJp+IiIiIiIiI\niMhpmHwiIiIiIiIiIiKnYfKJiIiIiIiIiIichsknIiIiIiIiIiJyGiafiIiIiIiIiIjIaZh8IiIi\nIiIiIiIip2HyiYiIiIiIiIiInIbJJyIiIiIiIiIichomn4iIiIiIiIiIyGmYfCIiIiIiIiIiIqdh\n8omIiIiIiIiIiJyGySciIiIiIiIiInIaJp+IiIiIiIiIiMhpmHwiIrLDlClTMGPGDKvtBoMB77//\nPu655x7ExsZi5MiRSElJsSq3detWPPDAA4iJicHQoUOxefNmqzInTpzAqFGjEBcXhz59+mDRokUo\nKyuzKHP9+nW8/PLL6NGjB7p27YqXX34Z2dnZjjtQIiIiIgdg24mIACafiIhqRBAEvP3229i+fbvN\n++fNm4fPP/8c48aNw/vvvw+pVIrRo0fjwoUL5jLbtm3DtGnT0KdPH3z00Ufo0aMHpk+fjh9//NFc\n5sKFCxgzZgw8PT2xePFijB07FqtWrcLbb79tLmMwGJCYmIiTJ09izpw5mD17No4cOYKxY8fCYDA4\n70UgIiIiqiG2nYjIgkBERLd16tQpYeTIkUJsbKwQGxsrTJ8+3eL+y5cvC506dRK+/vpr8zatVivc\ne++9whtvvGHeNmjQIOGll16yeOwLL7wg3Hfffebbb7zxhnDPPfcIZWVl5m1fffWV0LFjR+Hy5cuC\nIAjCli1bBLVaLWRkZJjLpKenC2q1WtiyZYtjDpqIiIiolth2IqLK2POJiCz0798fixYtwty5c9Gt\nWzf06NEDr776KvLz82u8j02bNkGtVuPo0aNISEhATEwMhg0bhm3btpnLXLx4EWq1Gp999hmGDBmC\nuLg4fPvttwBMXacTExPRo0cPxMfH47nnnkN6errFc3z++ecYMmQI7rzzTvTt2xezZ89GUVGR+X61\nWo01a9Zg2rRpiIuLQ69evfDOO+9Ap9PZ/ZpMnz4dALBu3Tr4+/tb3f/777/DYDBg4MCB5m0ymQz3\n3HMPdu3aBQDIysrC2bNnMWDAAIvHDho0COfPn8f58+cBAHv37kW/fv0glUotyhgMBuzZswcAsG/f\nPkRHR6NVq1bmMq1bt0br1q3Nz0dERET1g20na2w7EVFl0uqLEFFT89VXXyE6OhoLFixATk4O3n33\nXZw7dw5ff/11jR4vEokAABMnTsSoUaNwxx13YMOGDXjhhRewbNky9O3b11x2yZIleO211+Dt7Y07\n77wTf/zxBxITE9GzZ08kJydDq9Xi448/xhNPPIFvvvkG0dHR2Lp1K959911Mnz4d7du3R2ZmJpKT\nk1FaWop58+aZ97148WLExcVh8eLFyMzMxKJFi5CTk4P33nvPrtdj4cKFaNu2bZX3Z2ZmwsvLC4GB\ngRbbmzdvjmvXrkGj0SAzMxMikQjR0dEWZVq0aAFBEHDmzBmEhobi0qVLaNmypUWZgIAAeHt748yZ\nMwCAjIwMqzLlz1dehoiIiOoP206W2HYiosqYfCIiKxKJBKtWrYKXlxcAwN/fH5MmTcLevXvRu3fv\nGu/nP//5D5577jkAQO/evfHQQw/ho48+smhADR06FA899JD59qRJkxAdHY3ly5ebG2K9evXCwIED\n8b///Q+LFi3CwYMHERUVhZEjRwIAunbtCk9PT6srjMHBwfj4448hFovRt29fiEQiJCcnY/LkyVYN\nmdu5XeMJAAoLC+Ht7W21vfz1KyoqMl9ZrFyuYpnCwkKbZcrLle+jsLDQZgOqYhkiIiKqP2w7WWLb\niYgq47A7IrIyYMAA8xd7+W2pVIqDBw/WeB8ikQjDhw+32Pavf/0LKSkpFt2327dvb/5bo9Hg5MmT\nGDx4sLnxBAAqlQr9+/fHgQMHAAA9evRAZmYmHnroIXz44Yc4efIkHnjgAXODqtyDDz4IsfjWaW7Q\noEEQBMGu46gJQRBue79YLIbRaLxtGZFIVG2Z8mO5XbmKx0tERET1g20n+7DtRNT08JNGRFZCQ0Mt\nbotEIvj5+SEvL8+u/YSEhFjcDgwMhCAIKCgoMG+r2FArKCiAIAgIDg622ldQUJD5cUOHDsV7770H\nLy8vLF26FI888ggGDBiAn3766bbPHxAQAAB2H0d1vL29UVxcbLW9fJtKpYJKpbLYVq78aptKpTJf\ntbO1r6KiIvM+VCpVtWWIiIio/rDtZB+2nYiaHiafiMhKbm6uxW2j0Yi8vDyrcfnVqdxQyc7OhkQi\nga+vr83yPj4+EIlEyM7OtrovOzvbYsLKoUOHYs2aNfjjjz+wePFi+Pv7Y9q0aRaPrXwc169fBwC7\nj6M60dHRKCoqsnq+c+fOISIiAjKZDNHR0RAEAefOnbMqIxKJ0KZNG3h6eiI0NNQ8gWa5GzduoLi4\nGK1btzY/X+UyAHD+/HmLiTSJiIiofrDtZB+2nYiaHiafiMjKrl27oNfrzbd37twJg8GAu+++u8b7\nEAQBO3futNi2Y8cOxMfHw8PDw+ZjlEolOnfujJ9//tmiO3ZhYSF+++03dO3aFQDw4osvYtKkSQBM\nV84GDRqECRMmwGAw4Nq1a+bH/fLLLxb7//nnnyEWi9GjR48aH0dN9OrVC4IgWKxIo9Pp8H//93/m\neR6aN2+OZs2aWZQBgG3btqFFixYIDw837+u3335DWVmZRdxSqRR33XWXuUxGRgYyMjLMZdLT05GR\nkYE+ffo49NiIiIioemw72YdtJ6KmhxOOE5GVK1euYMKECfj3v/+Ny5cvY9GiRejbt6+5AVNTCxYs\nQGlpKaKjo7F+/XpkZGTgiy++uO1jXnrpJYwbNw6JiYkYOXIkdDodli9fjrKyMkycOBEAcNddd2HW\nrFmYP38++vXrh/z8fCxZsgQtW7aEWq027+v48eOYNm0aEhIScOrUKSxZsgSPP/44mjVrZv+LchsR\nERF46KGHMG/ePJSWlqJly5b49NNPUVhYiMTERHO5iRMnYubMmfD19UX//v2xc+dObNu2DYsWLTKX\nSUxMxA8//IDExESMHj0aZ86cwaJFi/D4448jLCwMgOnK5bJlyzBu3Di8/PLLEAQB7733HtRqNQYP\nHuzQYyMiIqLqse1kH7adiJoeJp+IyMrQoUPh6+uLF198EZ6enhgxYgRefPFFu/YhEokwa9YsfPzx\nx8jKykKHDh3w2WefoUuXLhZlKuvZsydWrVqF//3vf3j55Zchk8nQrVs3LFy40Nx1+vHHH4der8fX\nX3+Nr7/+GnK5HL169cIrr7wCiURi3tfTTz+Nq1evYvLkyfD398fzzz+P8ePH1/JVuRWzrbjfeust\n+Pr6YuXKlSguLkbnzp2xatUqREVFmcs89NBDKCsrwyeffIJNmzYhKioKCxYssGj0tGrVCp9++ikW\nLlyIqVOnwt/fH6NHj8aUKVPMZWQyGT777DO8/fbbePPNNyGVStG7d2/MmDGDk2YSERG5ANtOtz8u\ntp2ISCRUt9SAi+l0OsyaNQs7duyAQqHAmDFjMHr0aKtyo0aNsrkKw8MPP4y33367PkIlahT69++P\nHj16YN68ebXex7fffouZM2fil19+QUREhAOjqzm1Wo1JkyaZu5gTETVlOp0ODz/8MN58801069YN\nAHDs2DEkJyfj77//RlhYGMaMGYNHH33UxZESuR+2nYiIqtfgez7Nnz8fqampWL16NbKysvDqq68i\nMjIS9913n0W5Dz/80GKc77Fjx/Diiy9aLR9KRLV3/PjxasuUr4rSkOl0Opw6daracmFhYVar1xAR\nuRudToeXXnoJ6enp5m05OTkYP348nnrqKSxYsAAnT57EjBkzEBISgn79+rkwWqLGhW0nIiKTBp18\n0mg02LBhAz755BOo1Wqo1WokJiZizZo1VsknHx8f899GoxGLFi3CuHHj0LFjx/oOm8itVdU1GjB1\n2a7qvnLDhw9H9+7dnRGaXW53HNnZ2TU6lokTJ/LqHxG5tYyMDLz88stW23fu3Ing4GC88MILAEwT\n+/7xxx/YunUrk09EdmLb6Ra2nYioKg06+ZSWlgaDwYDY2Fjztvj4eCxbtuy2j9u4cSPy8/MtJqsj\nopqpvMpJRWlpaTXez0MPPeSIcGrtdlfnIiMj7ToWIiJ3deDAAfTs2RMvvPACYmJizNv79u1r8wJd\nYWFhfYZH1Ciw7UREVL0GnXzKzs6Gn58fpNJbYQYGBkKr1SI3Nxf+/v42H7dy5Uo888wzUCqV9RUq\nERERUYPz5JNP2tweERFhMa/M9evX8eOPP1pM0EtERETkKA16an+NRgOZTGaxrfy2Tqez+Zg//vgD\n165d44SZRERERDWg1WoxefJkhISE4PHHH3d1OERERNQINeieT3K53CrJVH67ql5N27dvR58+fSzm\ngLJHdja7mxMREbm74GCVq0NwCyUlJZgwYQLOnz+PtWvXQi6X2/V4QRCqnQOGiIiIqEEnn0JDQ5GX\nlwej0Qix2NRJKycnBwqFosrk0p49ezB58uT6DJOIiIjI7RQVFSExMRFZWVn4/PPPERUVZfc+RCIR\nCgo0MBiMToiQGhqJRAwfHyXrvAlhnTc9rPOmp7zOna1BJ586dOgAqVSKY8eOoUuXLgCAQ4cOoXPn\nzjbL5+bm4sKFC+ayRERERGRNEARMmjQJFy9exJo1a9CyZcta78tgMEKv5w+UpoR13vSwzpse1jk5\nWoOe80mhUCAhIQFJSUk4ceIEdu7ciVWrVuHpp58GYOoFpdVqzeX/+ecfKBQKNGvWzFUhExERETV4\n33zzDQ4cOIC5c+fC29sbOTk5yMnJQX5+vqtDIyIiokaoQfd8AoAZM2Zg9uzZePrpp6FSqTB16lQM\nHDgQANC7d28kJydj+PDhAEzJKJWKczwQERERVSYSiczzM23fvh2CIOC5556zKNOtWzd88cUXrgiP\niIiIGjGRIAiCq4NoSDjhOBERkfvjhOP1Jze3mEMzmgipVAx/fy/WeRPCOm96WOdNT3mdO1uDHnZH\nRERERERERETujcknIiIiIiIiIiJyGiafiIiIiIiIiIjIaZh8IiIiIiIiIiIip2nwq93Vt/lfHoFY\nLEKrCB90aReM6HAfV4dEREREREREROS2mHyq5O8LeQCAU+dy8cP+c4hpHYgnBrRFaICniyMjIiIi\nIiIiInI/HHZXSZd2wVA394NUIgIAHM+4jqRVB3D0dLaLIyMiIiIiIiIicj8NPvmk0+kwc+ZMdOvW\nDX369MGqVauqLPv333/jqaeeQkxMDIYNG4Y///zT7uebNOIO/L+nuuD9yX0w5K7mkIhF0JUZsWTT\nCfxyOKsuh0JERERERERE1OQ0+OTT/PnzkZqaitWrVyMpKQlLlizB9u3brcoVFRVh7NixaNu2LbZu\n3Yp//etfmDRpEm7cuFGr5/VUSPHoPW3w6lNdoPL0gADgyx2nsf/klToeERERERERERFR09Ggk08a\njQYbNmzA66+/DrVajYEDByIxMRFr1qyxKrtp0yZ4eXlh9uzZiIqKwuTJk9GyZUucPHmyTjG0aeaL\n10bFw9dLBgD49MdTSD1bu4QWEREREREREVFT06CTT2lpaTAYDIiNjTVvi4+PR0pKilXZgwcPon//\n/hbbvvnmG/Tt27fOcYT4e+Klx2OhlEthMAr4+Lu/cKOgtM77JSIiIqoPOp0ODz74IA4ePGjelpWV\nhdGjRyMuLg4PPPAA9u3b58IIiYiIqDFr0Mmn7Oxs+Pn5QSq9tShfYGAgtFotcnNzLcpeuHAB/v7+\nePPNN9G7d2888cQTOHLkiMNiiQrxxnMJnSACUKQpw9LNJ6E3GB22fyIiIiJn0Ol0eOmll5Cenm6x\nfeLEiQgJCcHGjRsxbNgwTJo0CVeucHoBIiIicrwGnXzSaDSQyWQW28pv63Q6i+0lJSVYuXIlQkJC\nsHLlSnTt2hVjx47F1atXHRbPHa0C8WCvlgCAjEsF+OmPcw7bNxEREZGjZWRk4LHHHkNWluWiKfv3\n78eFCxfw1ltvoVWrVhg/fjxiY2OxYcMGF0VKREREjVmDTj7J5XKrJFP5baVSabFdIpGgQ4cOmDRp\nEtRqNV555RW0bNkS3333nUNjGtYrGm2a+QIAvt93FuevFjp0/0RERESOcuDAAfTs2RPr1q2DIAjm\n7SkpKejUqRPkcrl5W3x8PI4dO+aKMIncTk6eBikZOSgo1lVfmIiIGnbyKTQ0FHl5eTAabw1vy8nJ\ngUKhgI+Pj0XZ4OBgtGrVymJby5YtcfnyZYfGJBaLMHZoB8ikYhiMAlb9lAajUaj+gURERET17Mkn\nn8Srr75qkWQCTFMbhISEWGwLDAx0aI9xosYs/VI+SrR6pJ7jQkRERDXRoJNPHTp0gFQqtbgKd+jQ\nIXTu3NmqbGxsLNLS0iy2ZWZmIjIy0uFxhQZ4YkRfU6Lr3JVC7D5+yeHPQUREROQsVU1tULnHORER\nNTx6gxFFmjJXh0FkF2n1RVxHoVAgISEBSUlJeOedd3D16lWsWrUKycnJAEy9oFQqFeRyOZ544gms\nWbMGS5YswbBhw/Dtt98iKysLw4YNc0psA7o2w94Tl5GVXYyNuzLQVR0Cb6WHU56LiIiIyJHkcjny\n8/Mttul0OigUCrv3JZE06GuZ5EDldc06ByTiW6+BVNp4Xw/WecN0PCMHujIjWkf6IMTf06H7Zp03\nPfVV1w06+QQAM2bMwOzZs/H0009DpVJh6tSpGDhwIACgd+/eSE5OxvDhwxEREYFPPvkEc+bMwYoV\nK9C6dWssX77cqku5o0jEYoz8VzvM/+ooikv12LQrA/8ZrHbKcxERERE5UmhoqNXqdzk5OQgODrZ7\nXz4+yuoLUaPCOge8vG4NZfX393JhJPWDdd6weMg84CEDrhXo0L6V/eftmmCdk6M1+OSTQqHAvHnz\nMG/ePKv7Kg+zi4uLw6ZNm+orNLRv7o+7Oobij9Sr2HXsEvrGRqBlmE/1DyQiIiKqwq5du7By5Uqc\nOXMG69atw6ZNm9C8eXMkJCQ47DliYmKwYsUK6HQ68/C7w4cPo2vXrnbvq6BAA4PBWH1BcnsSiRg+\nPsomVedFmjKkZ+UjNECJ8MBbSabiYq3579zcYleEVi+aYp27g/L3n1gscvj7j3Xe9JTXubM1+ORT\nQ/fovW1wND0HWp0Ba7afxsxR8RCLRK4Oi4iIiNzQvn37MGnSJNx///04fvw4jEYj9Ho9ZsyYAUEQ\nMHz4cIc8T/fu3REeHo7p06fj+eefx6+//ooTJ06Ypzawh8FghF7PHyhNSVOq85MZ16E3GlF0UYdg\n31s/zgwVFkRqCq9FU6pzd1D+/hMEkdPqhXVOjsaBnHXkr5IjoVc0ACDzUgH+TOUqMURERFQ7H3zw\nAV5++WUkJydDIpEAAF588UW8+OKL+OSTT+q0b1GFi2NisRgfffQRsrOz8fDDD2PLli348MMPERYW\nVqfnIGps9Eb++CYicgT2fHKAgV2bYdexi7iaq8GG/8tAl3bBkHtIXB0WERERuZm///4bCxYssNo+\nePBgLFmypE77PnXqlMXtqKgorF69uk77JCIiIqoJ9nxyAKlEjMfubQMAyC3UYvvBCy6OiIiIiNyR\nSqXCtWvXrLanp6fD19fXBRERERER1R2TTw4S2zYI6uZ+AIAf/ziH/CJtNY8gIiIisvTggw/inXfe\nQVpaGkQiEYqLi7F7927MmTMHQ4cOdXV4RERERLXC5JODiEQiPN6/LUQAtDoDvt1zxtUhERERkZt5\n4YUXEB0djeHDh6OkpOT/s3fm8VFV5///zJJkksmeQIBAAgQhIAKyq6AVETcsYEW/SpGqaLVWrVoL\nuLFqQEStPzcUxBosFUEREIq7lAqWfU1YspGQbSaZfZ977++PSSazZ2Zy78wked6vF5o5c+45z9nu\n3PPc53kOZs2ahYcffhiDBw/GU089FW3xCIIgCIIgwoJiPvFIfq9D1D7xAAAgAElEQVQUXD28F/57\nqh7/OVGLG8b0Rb+eydEWiyAIgiCITkJcXBzWrFmDJ554AiUlJWBZFoMHD8agQYOiLRpBEARBEETY\nkPKJZ+64rgAHSxthtbPY/MN5PH33KLfTZQiCIAiCINojPz8f+fn50RaDIAiCEBiLjQEAOrCK6PLE\nvPLJarViyZIl+PbbbyGTyfDAAw/g/vvv95n30UcfxY8//giRSASO4yASifD+++/juuuui5i8GSkJ\nuHlCHrb/txKnK1U4Wd6MEQVZEaufIAiCIIjOS2FhYcCXVp4n1hEEQRCdF5udwdHzCgDA6Mt6IJ4U\nUEQXJuaVT6tWrcKZM2dQXFyMmpoaLFiwALm5uZg2bZpX3vLycqxZswYTJ050pqWmpkZSXADALRPy\n8fPxWmj0Vnz2w3lcPiADEjGF1yIIgiAIIjCvvPKKm/LJbrejsrIS27Ztw9/+9rcoSkYQBEHwTbO2\n7ZCqJq0ZvbPkUZSGIIQlppVPJpMJW7Zswfr161FYWIjCwkLMnz8fGzdu9FI+Wa1W1NTUYPjw4cjK\niq6lUUK8BL+7tgAf7SpBXZMRe4/V4vrRfaMqE0EQBEEQsc8dd9zhM3348OH4/PPPMWPGjAhLRBAE\nQRAE0XEEMceZPXs2/vWvf0Gn03WonNLSUjAMg1GjRjnTxowZgxMnTnjlraiogEgkQr9+/TpUJ19c\nfUUv5LUEG//yPxUwmu1RloggCIIgiM7KiBEjcPjw4WiLQRAEQRAEERaCKJ8mTpyI999/H5MmTcLT\nTz+Nffv2geO4kMtRKBRIT0+HVNpmoJWVlQWLxQKVSuWWt6ysDMnJyXj22WcxadIkzJ49G3v37u1w\nW8JFLBLh7imOk2n0Jhu+PlAZNVkIgiAIgui8GAwGbNy4EdnZ2dEWhSAIguCR0HfIBNF5EcTt7pln\nnsHTTz+NX375Bdu2bcPjjz+O1NRUzJw5EzNnzsSAAQOCKsdkMiE+Pt4trfWz1Wp1Sy8vL4fFYsHk\nyZPx8MMP49tvv8Wjjz6KzZs34/LLL+enYSEytH8mRg3KxrELSnx7sBq/GZWLHumJUZGFIAiCIIjY\nx1/AcZFIhKVLl0ZBIoIgCIIgiI4jWMwnkUiEa665Btdccw1MJhOKi4vx7rvv4oMPPsDo0aMxb948\nn0HDXUlISPBSMrV+Tkx0V+L8+c9/xrx585CSkgIAGDJkCE6dOoXPPvsMy5Yt47FloTH7+gKcLG+C\nneGw9ecyPDJjeNRkIQiCIAgitvEMOA4AcXFxGDlypCChBerr67FkyRIcPHgQ6enpuO+++zBv3jze\n6+nKcByHJo0ZsgQpkhPjoi0OQRCdCP9nmxJE10PQgOONjY3Yvn07tm/fjnPnzmH06NGYNWsW6uvr\n8cILL+DgwYN4/vnn/V6fk5MDtVoNlmUhbjktTqlUQiaT+TzFrlXx1EpBQQHKysr4bVSI9M6S4zdX\n5uL7wzX4X0kjpo7VYFBuWlRlIgiCIAgiNvEXcFwonnzySfTt2xdffvklzp8/j7/+9a/Izc3F1KlT\nIypHZ0ahMaO8VgMAGF+YA7GYtpME0RnRGhxGDqny+HZy8ge53RHdCUGUT1999RW++uor/Prrr8jM\nzMTMmTPx1ltvoX///s48vXv3xssvvxxQ+TR06FBIpVIcO3YMo0ePBgAcOnQIw4d7Ww8tWrQIIpEI\nr7zyijOttLQUgwcP5q9hYTJj0gDsP1UPo8WOz74/j+fmjvFpUk8QBEEQRPfj7bffDjrvn//8Z97q\n1Wq1OH78OF5++WXk5eUhLy8PkydPxoEDB0j5FAJKtcn5t41hkSCWRFEagiDCwWi24UxVMwBgZEE2\nEhNi+lB4guiUCLKqnn/+eVx//fV45513cO211zqtllwZOHAgfv/73wcsRyaTYcaMGVi8eDFeeeUV\nNDQ0YMOGDVi5ciUAhxVUSkoKEhISMGXKFDz99NMYP348Ro8eje3bt+PIkSNYvny5EE0MieTEONx+\nTX989sMFlNVqcbC0EeOH5kRbLIIgCIIgYoAvvvgiqHwikYhX5ZNMJkNiYiK2bt2KZ555BhcvXsSR\nI0fw9NNP81YHQRBEZ0Ctbwv1ojVaI6Z8InMEojshyKrau3cvMjIyoFarnYqnEydO4PLLL4dE4ngb\nNHr0aKc1UyAWLVqEpUuXOuM5Pfnkk863cZMmTcLKlSsxc+ZM3HjjjVi8eDHee+891NfXY9CgQVi3\nbh369OkjRBNDZsrovvjxyCU0qk34/McyXHlZNuKk9GaMIAiCILo7P/zwQ1TqjY+Px0svvYRly5bh\nk08+AcMwuOOOOyLu+kcQBNFdIbc7gm84joNCbYIsXhpRF9Jg8DZJ4gG9Xo+bb74ZH374oTPt4Ycf\nxowZM1BXVxdSWTKZDEVFRThy5Ah+/vlnzJ071/ldaWkpZs6c6fx85513Ys+ePTh+/Di2bt2KMWPG\ndLwxPBEnFePO3xQAAJq0Znx7qCbKEhEEQRAE0VmwWq04fPgw7+WWlZVhypQp+Pzzz7Fy5Urs2bMH\nO3fu5L0egiAIggiEzc6grskAi42JtiidGoXahPI6Lc5UNYNh2WiL44Yglk+vvPIK8vPzcf/99zvT\ndu3ahQULFqCoqAhvvfWWENXGPGOG9MBlfdNwvkaDnb9UYtIVvWNOG0kQBEEQRPQ4deoUXnzxRZw7\ndw6sj4fGkpIS3urav38/tmzZgr179yI+Ph7Dhg1DfX093nvvPUyfPj3ociQSQd5ldhokEjEkLZb+\nUqkYUmnX7Y/Wse5OYy5xCR/iOrb+0rsa3WXMJVKXdSyJ3DqWSEQh3z84jnNeIxaLeJc1WmN+pkoF\ng8mGepUJ4wp7RrTuroRab3W5PwU3PyI11oIonw4dOoTNmzejR48ezrTMzEz87W9/w5w5c4SoslMg\nEonwfzdchuX/OASzlcG2/5TjvpsLoy0WQRAEQRAxQlFRESQSCV544QUUFRVh4cKFuHjxIj799FO8\n+uqrvNZ1+vRp9O/fH/HxbS/Chg4dirVr14ZUTmpqIq9ydTZSFEYwLZFb0tOTIIvv+oGKu9OYy+UJ\nzr8zMuTtpndVuvqY660s5LqW0+7SEiM2pkY7B7m2pd7U4OrlOM45/8QikWCyRnzMxSpnu7rDmhKK\nZIUR9tbfpIzY+k0SRBKpVAqtVuuVbjKZwHHd27N1QO9UXHV5DvafbsDPx2pxzRW9UZCbFm2xCIIg\nCIKIAc6cOYN//OMfGDFiBL744gsMHjwY9957L3r16oXNmzfjlltu4a2unj17oqqqCna7HVKp45Gw\nvLwcffv2DakcrdYEhhHGtJ/lOGgNVqQkxblZmsQSOr0ZhpYj2tVqIxLium5MT4lEjNTUREHHPNYw\nGCzOv1UqQ7vpXY3uMuYarck5plqNCYmSyIQC12iMbfVqTVDFBWf51HqNSMT//IvWmHeXNSU04fwm\ntY650AiifLr22muxYsUKvP7668jLywMAVFdXo6ioCJMnTxaiyk7F7OsH4diFJpgsdnz871Is/sM4\nSLu4KStBEARBEO3DsqzTcjw/Px/nzp3D2LFjccMNN4RskdQeU6ZMwerVq/HCCy/gkUceQXl5Odau\nXYtnnnkmpHIYhoXdLswGpaJOiwaVESlJ8bi8f6YgdXQUhmGdcTXsdhYSUdc/v0rIMY81XGOmuLbZ\nX3pXpauPOWN3WccRbCvDcG73j2Dq5bi2a8QikWCyRnrMu9uaEopY/k0SROOxYMECWK1W3HTTTZgw\nYQImTJiAadOmwWazYdGiRUJU2alIT07A7Jbg45cUBvz714tRloggCIIgiFggPz/fGVh84MCBOHny\nJABAp9PBarUGujRkkpOT8fHHH0OhUGD27NlYtWoVHnvsMcyePZvXejpCg8oIANAZ+W07n8TOYz1B\nEARBxC6CWD5lZWXhyy+/xC+//ILz589DKpVi0KBBuOqqqyCKIc1bNLl2VB/sP12P8zUabP9vJcYV\n9kROZlK0xSIIgiAIIorMnTsXzz//PADgpptuwowZMyCTyXDkyBGMGjWK9/oKCgqwfv163svtTnTv\ngBIEQUQauucQwRJrmhfBok9JJBJMnjyZ3Oz8IBaJMO/mQiz+6H+wMyz+8e9SPHvPlaScIwiCIIhu\nzOzZs5Geno6MjAwUFBSgqKgIH374IXr37o0XX3wx2uIRBEEQBBHDxLJyUhDlk0KhwJtvvokjR47A\nZrN5BRn//vvvgy7LarViyZIl+PbbbyGTyfDAAw/g/vvvD3hNTU0Nbr/9dnzwwQcYN25cWG2IBH2y\n5bjtqnxs/28lSi+q8dPRS7h+dGhBPgmCIAiC6Drs378fN954o/Pz7bffjttvvz2KEhEEQRAE0RGa\ntWY0ac3I65mChPiueyhFewiifHrxxRdx6tQp3HbbbUhJSelQWatWrcKZM2dQXFyMmpoaLFiwALm5\nuZg2bZrfa5YsWQKz2dyheiPFbVf1x+FzClxSGPDZjxcwrH8mud8RBEEQRDflgQceQO/evTFz5kzM\nmjUL/fr1i7ZIRDuQzTpBEAQRiHM1agCA2crgioFZUZYmegiifDpw4ADWrVuHsWPHdqgck8mELVu2\nYP369SgsLERhYSHmz5+PjRs3+lU+bd++HUajsUP1RpI4qRgPTR+G5f84BKuNxbqdZ7Dw96Nj9jhh\ngiAIgiCE4/vvv8f27duxc+dOvPfeexg9ejRmzZqFW265BXK5PNriET6IZRcHgiAIInYwmG0RrS/W\nIvoIouFISkpCVlbHNXqlpaVgGMYtwOaYMWNw4sQJn/lVKhXWrFmD5cuXe7n6xTJ5OSmYOXkAAKCs\nVovdB+j0O4IgCILojvTp0wePPPIIdu7cia1bt2LEiBF45513MGnSJCxYsCDa4hEEEQXMVjtKq1RQ\nqE3RFoWIBTrPNpfgGbXegrJaDSw2xn+mGJ4fgiifZsyYgXXr1oFhAnRKECgUCqSnp0MqbTPQysrK\ngsVigUql8sq/cuVKzJo1CwUFBR2qNxrcPCEPBbmpAICv9lWgql4XZYkIgiAIgogmw4YNw/Tp0zF9\n+nSIxeKQYmYSkSPGXiwTXZBz1WqoDY5NJ0EQ3ZfSiw4l9PkWN77OhiBud2q1Gjt37sRPP/2Efv36\nIT4+3u37Tz75JKhyTCaT17Wtn61Wq1v6L7/8gqNHj2L58uUdkDx6SMRizL9tGBZv+B+sNhbvbz+N\nl+aNRWKCYAcSEgRBEAQRg1RXV2PHjh3YsWMHqqqqMGHCBLz00ku46aaboi0aQRBRwGixR1sEgiBi\nCL0pOPe9WHMGE0yzMX369A6XkZCQ4KVkav2cmJjoTLNYLFi8eDGWLFnipazqTORkJuHeqYPx8e5S\nNDQbUfzNWTw0fRhEseasSRAEQRCEINx11104efIk+vbt6ww63qdPn2iLRRAEQRAE0SEEUT4VFRXx\nUk5OTg7UajVYloW4JQC3UqmETCZDamqqM9+JEydQU1ODxx9/3C3W00MPPYSZM2diyZIlvMgTCSaP\n6I2SKhV+PdOAA6cbMDQvA5NH0kMnQRAEQXQHCgoK8Oyzz2LcuHHRFiXmMVvtqGsyokd6IpIT46It\nDhEGLMuBYVnESbvv0eMEQRB8wsVw0CfBLJ8aGxuxefNmVFRU4LnnnsPBgwcxePBgDBw4MOgyhg4d\nCqlUimPHjmH06NEAgEOHDmH48OFu+UaOHIlvvvnGLe3GG2/Eyy+/jKuuuqrjjYkgIpEI9900BBV1\nWjSqTPj023MY2CcVuT2Soy0aQRAEQRACw9cLvO5ASaUKFjuDBpURE4f1irY4RIhwHIcT5U2wWBmM\nKMiiUBMEESSxrFwgiEAIEnC8qqoKt99+O7788kvs2bMHRqMRu3btwu9+9zscP3486HJkMhlmzJiB\nxYsX4+TJk/juu++wYcMGzJs3D4DDCspisSA+Ph79+vVz+wcAPXv2RGZmphBNFJTEBCkenTEcUokI\nVjuL9746HTiiPUEQBEEQRDfDYo/BZyPaEwaN2crAbLWDA0cH7RAEQQhArP0kCaJ8WrlyJaZOnYrv\nvvsOcXEOM+jXX38dU6ZMwWuvvRZSWYsWLcLw4cMxb948LF++HE8++SSmTp0KAJg0aRJ2797t87rO\nHicpv1cK7p5yGQCgVmnAP789F2WJCIIgCILoalitVixduhTjx4/HpEmT8MYbb0RbJILoUtjsLJq1\nZrBsrG0DCYKIBFyko37H8K1GEPvWI0eO4NNPP3VTAEmlUvzpT3/CXXfdFVJZMpkMRUVFPs3QS0tL\n/V5XUlISUj2xyJTRuSitUuHwOQX+c6IOQ/LScfXw3tEWiyAIgiCILsKKFSvwv//9Dx999BH0ej2e\neuop5Obmhvy81tUxmu2obtQhVR6P3lnyaItDdCJKqpphtNiRnZqIQX3Toi0O0QWItRPMiMDQcLUh\niOUTy7JgWdYr3WAwQCKhgILBIhKJcP+thchOkwEA/vHvs2SWTBAEQRDdBM8Tf/lGo9Hgiy++wIoV\nKzB8+HBMnDgRDzzwQEghEroLVQ06qPQWVDXoAlqwUCwWwhOjxQ4AUGpNUZaEIIio4PKzIELn9s7q\nKIIonyZNmoS1a9e6KaDUajVWr16NiRMnClFllyVJFofHZl2BOKkYNjuLt784CZ1R2IdRgiAIgiCi\nx6ZNmzBlyhSMGjUK1dXVWLx4Md59913e6zl8+DBSUlIwduxYZ9pDDz2El19+mfe6Ojsag8X5N0tm\nBwTR6aF1TEQK15cSsRAZSK23oOySBhZr5OMmCqJ8WrhwIU6dOoVJkybBYrHg0UcfxfXXX4+amhos\nWLBAiCq7NPm9UnDfTUMAAE1aM9ZuPw3Gh2UZQRAEQRCdmx07dmDNmjWYNWuWM25mQUEB3n//fXz0\n0Ue81lVdXY3c3Fxs27YNt9xyC6ZOnYp333038vEpCIIgIojeZMORswqUXdJEWxSiGxDVkE8+6i69\nqIJCY8L5GnWkRHIiSMynnJwcbNu2DTt37kRJSQlYlsU999yDGTNmIDk5WYgquzzXXNEblfU6fH+4\nBmcqVfji53LMvn5QtMUiCIIgCIJHPvroIzz//POYNWuWU9l03333ISkpCR9++CEeeOAB3uoyGo2o\nrKzE5s2bsXLlSigUCrz44otISkrCH/7wB97qIQiCiCXOVathZ1koNCYU5FIcLqJ7ojfbIl6nIMon\nAEhMTMTs2bOFKr5bcveUQahu0OFcjQa7f72I/F4pGD80J9piEQRBEATBExUVFW5ucK1MmDABy5Yt\n47UuiUQCg8GA119/Hb169QIAXLp0CZs2bQpJ+SSRCGJI7yhb3Fa2VCoO+jsh5ZBIxG71SSRi5/ee\n33U1WseajzGXMq79JorZfvM3z4Kdf3zM00jOda+6eRzzQOiMVohEIiQnxglaD+BwuWvt09b+lEjb\n5qM0gutYIhG5yRJUvaK2OSES8T8nIjXmXvVGcZ4LCYe2tknEHbvXBdNH7c0pX2VEaqwFUT7dd999\nAb//5JNPhKi2yyOViPHorCuw7OODUOks+GhXCfpkydG3J1mTEQRBEERXIDs7GxUVFejXr59b+tGj\nR9GzZ09e6+rZsycSEhKciicAGDBgAOrr60MqJzU1kVe5XJHLE5x/Z2TIg/5OWDmSECdtO0AnWWmE\nvSWIbHp6EpJk4W2ejWYb1DoLemYmQRrhTV+o8DHmCWabs19TUmSCj2G4+Jtnwc4/PuZpJOe6P4Rc\n53qTDRUVKgDAhMt7QZYgmH0EACBZLnPGfGrtT72VhVzniKubmpaIjAw5GJZDfZMBqfJ4pCTFCyKL\n0c5Brm2pNzUxqPG12VnnnBCLRGHPCaPZBpaDX4WfkGPui1iY50JgtTHOtkkl4g61LZg+Sk7WA2KH\nVVNaehISPdZTNPtZkJWdm5vr9tlut6Oqqgrnzp3DvHnzhKiy25Amj8efZg3Hqk+PwGpj8dbWE3jh\nvrFIlQtzQyQIgiAIInLcfffdWLZsGRYtWgQAKC8vx759+/Dmm2/y/gw1cuRIWCwWVFVVIT8/HwBQ\nVlbm9RzXHlqtCQwjTCxKg0ugb5XKEPR3wsphRJzLm2S9zgyDwbF5VKuNsIS5cd5/yqH0y06T4bJ+\n6R2QVjgkEjFSUxN5GXOTxe7s1zgRJ/gYhou/eRbs/ONjnkZyrnvC55j7o6ZR72zjxVo1eqQHp/Sw\n2hhABMRLQztN3WC0OE+tbO1PjdbklEGrMSFRIkJlvRZ1SiMA4KrhvXwXFgCTxY6SKhXipWIMG5AJ\nsY9o0xqNsa1erQmquPYVz3aGdV4jEoU3J6w2BofPKgAAoy7LdlNQRGLMfRHNeS4kFhvjbJtUIupQ\n24LpI53ODKPZccqmWm2AOb5tbDmO81lG65gLjSDKp6KiIp/p77zzTshv0whvCvqkYe5NQ7BhVymU\nGjPe/vIknv2/K90ehAiCIAiC6Hw89NBD0Ol0ePrpp2GxWPDHP/4RUqkU//d//4dHHnmE17oGDBiA\n6667DgsXLsTixYuhUCjw4Ycf4rHHHgupHIZhYbcLs0FxPWDFs45A3wkrB+N2WDbDsM7v7XYWdkl4\nsrSW0aAyYkDv1LBljQR8jLnd3tZvDMMJPobh4m+eBTv/+JinkZzrfmUQcJ3bXdYQYw+uHquNwZHz\nDuXJ2CE9Q7IWZBjWafnUWhfjMh/tLW2tUxrd1nao1DTqYTTbYASg1Vt9WhgxDOd+/wiiHtf+EotE\nYcmmVJucZTQ2G5Hbw9uTRsgx90UszHMhsNtcx0vcobYF00dec0rsft/q6NzpCBHVVsyYMQO7d+8O\n6Rqr1YrnnnsO48aNw+TJk7Fhwwa/ebdv346bbroJI0eOxD333IMTJ050VOSYZfKIPrh5fB4A4EKN\nBv/4dymdTkMQBEEQXYCnn34aBw4cwOeff47NmzfjwIEDeOGFFyAW8//Y9tprryE/Px9z5szBokWL\nMHfuXMyZM4f3eqIJy3IwRCGwKkEQoRPsbkahNjn/btZZAuSMHjaXjb3RYo+iJEQ04dxmtbf1WyRx\n0V35tMQTGmEdaj04evQoJJLQzCJXrVqFM2fOoLi4GDU1NViwYAFyc3Mxbdo0t3yHDh3CCy+8gFde\neQWjRo3Cp59+ioceegg//fQTEhMj668aKe78TQHqmgw4XtaEX07Vo0+2HLdOzI+2WARBEARBhEBt\nba3P9KysLACAVquFVqsFAPTp04fXupOTk7Fy5UqsXLmS13JjiTNVzdCbbBjQKxU5mUkdLo/e9RGE\nsJgsdpgsdmSkJEDkZ4Mcy8uwql7nlVZeq0GaPB4JcaHthX3RXe9BLMuB5biYj4nnSTTHy7Nu1iUh\nCrqnyAUc1+v1OHv2LO69996gyzGZTNiyZQvWr1+PwsJCFBYWYv78+di4caOX8kmpVOKxxx7D9OnT\nAQCPPfYYNmzYgAsXLuCKK67oWINiFLFYhId/ezmKNh5GjcKArT+VoVdmEkYP7hFt0QiCIAiCCJIp\nU6b43WC1wnEcRCIRSkpKIiRV7NHaB6GiNzmsnirqtbwon4jOT6PKCK3Bhtwecq9gvK60xk0hIocI\nwPEyJQAErTCOri2JOyqdBXXNjjg6npYlzVozemfxH+CZ4zicr9GA4zgM7pce1n0y1mFZDscvKMGw\nHEYOyqZwMwHxr+1y95TqIpZPffr08Zr0cXFx+P3vf4/f/va3QZdTWloKhmEwatQoZ9qYMWOwdu1a\nr7w333yz82+LxYKPP/4Y2dnZGDRoUBgt6DwkJkjxxJ0jsOIfh6A12vDBjtNYNGcM8nulRFs0giAI\ngiCCgE4BDg4OsbXJ5BNNS8ByQnhYlkN5ncOSkGFZDMnL8Jv3RLkyUmIRLbhujeuajP6VTy4Zhbov\nhFOu2dqmsGRDNHkJV2mk0lnQrDMDABQaM3oGGbC9M6HWW2CxMwCA+mYj+nXS095tDBP2ixS+6TKW\nT3yZbisUCqSnp0MqbRMzKysLFosFKpUKGRnePxb79+/Hgw8+CMARx6Cruty5kp2WiD/fMQKvbnKc\ngPfm58fx/NwxyO6CNx6CIAiC6GqMHz/eZ7parYZEIkFKCr1QAhAz2qdA28lw3StqFfrwLiRCxlUh\noNKHFysoVKUCETzh9KyNYVHfbESaPD6gJRvf9fJNuPF7XWNLdaVA3a64do1rP1msDBpURmSnJSJJ\nFtGIQmFzSWlAXx8B3iNBtG9dgozQwYMHg847btw4v9+ZTCbEx8e7pbV+tlp9vyEaMmQIvvjiC/z0\n009YsGAB+vbtixEjRgQtT2dlUN80PHDrUHyw4ww0Bite33wcz80d4/NUBYIgCIIgYpd169bhk08+\ngULhOMmpb9++eOihh3DXXXdFWbLuiwgij6Cx/NI1t4tdl9MVzdEWoesSxu64qsERY0kWJ8Woy7L5\nliimibYywROW5VDbZEByYhzSkxMEr6+kSgWzzY7aJgMmDusleH18UKPQR0355Eo03uUIonyaO3eu\n05SMcwtq5Z7WXuyChIQELyVT62d/Fk2ZmZnIzMxEYWEhjh07hk2bNnUL5RMATLy8F9R6Kzb/eAH1\nzUb8/fPj+Os9V/IS2I4gCIIgCOH54IMP8O6772Lu3Lm48sorwbIsDh8+jFdeeQUAurUCiusMpk+x\nVCYhCHaGpdMTBcR1KZht/mNu+Voy/vJzHIdz1WqIRCJc1jfNZ54YuLOE4Irl/4YRbW+uuiYDalos\nOScMzRHcvSzQHIkV2lMQshyHuiYjkhKkyEjpuMIuUH3RVlYKonx6//33sWLFCjz77LMYP3484uPj\ncfLkSSxbtgyzZs3CrbfeGlQ5OTk5UKvVYFnWebywUqmETCZDamqqW96TJ09CIpFg2LBhzrSCggKU\nlZXx17BOwE3j+0Gls+DbQ9Uoq9Xi/W2n8NgdV3S6UwEIgiAIojvy6aefYsmSJZg5c6YzberUqSgo\nKMAHH3zQvZVPXVhBQ25ckYO6OrZgWBYs6+pTxX8dCo3Z6TxLUR8AACAASURBVGKp0sl85mmv2rom\ngyDBwkNBa7QiMd7dqEAkii3dtVrfZjhis7OIJyOIdqlvMqK60WG9N66wJyRiIfftEQiWFgBBWlZU\nVISXXnoJN910EzIyMiCXyzFx4kQsW7YMmzZtQm5urvNfIIYOHQqpVIpjx4450w4dOoThw4d75d2y\nZQvWrFnjlnb69GkUFBTw06hOgkgkwt03DML4oT0BAMfLmrB2+2kwLBl0EwRBEESso9FoMHLkSK/0\ncePGoaGhIQoSEQDcXO4Cu9+Ftw0khUjnINyYPIRvbHYWR88pUdtkcKYJ0cNuMZEY9z0Ry3EwW+1Q\n69rif/nak1c16KCN4sEASrUJZyqbcfS8exD8sKekQBZJrqfQmW2MIHV0NVxjzzGM+4C6KWZ5INp3\nMEGUT42NjT4VS8nJyVCpVEGXI5PJMGPGDCxevBgnT57Ed999hw0bNmDevHkAHFZQFotjsO6++278\n+uuvKC4uRlVVFd566y2cPHnSmbc7IRaJ8OBtwzCiIAsAcPisAut3lvA+eQmCIAiC4JcbbrgBxcXF\nXuk7duzAlClToiARUdFyMpqQkFIjknSsr4MZKoZloVSbYBFg892V5orBbIM9zBfkIfWDa14Ppcuh\n0kYcu6CEztSmWPJXsskSPRevi40OVzZfVpKxNCdkLpZZOiO5pzoIb3wq6rQ4dLYR6jAPRnDWznFo\nVJugVJvcl0IUTJ8EcbsbNWoUXn/9daxatQrJyY5gWmq1GqtXr8ZVV10VUlmLFi3C0qVLMW/ePKSk\npODJJ5/E1KlTAQCTJk3CypUrMXPmTAwbNgzvvPMO1qxZgzVr1uCyyy7DRx99hJ49e/Levs5AnFSM\nx2YNx9+3nMCZShUOnGmARCLC/bcMhVgcC17NBEEQBEF4kpWVhU2bNuHw4cMYP348pFIpTp06hUOH\nDuGGG27AokWLnHmLioqiKGnXQKk2QaExo3+vFL+nZDWojG6fhdjnxdDekWiX9gfrQo0GKr2FDv7x\ng9XGQKWzQORjTxJpRUpncXl11ZkFsicQOsZSe0hcxpQjw4cO0frbU3pRFVIwddde5ziHK2R5rQYA\nkJ/jcnpuFKaKIMqnF154Affddx+uvfZa9O/fHxzHobKyEj169MAnn3wSUlkymQxFRUU+H7BKS0vd\nPl933XW47rrrOiR7VyJOKsHjvxuBNzYfx7lqNf57sh5WG4v504e5mUQSBEEQBBEblJSUYNSoUQDc\nn3PGjh0LjUYDjUYTLdEiTrPW7PZZiD3ihZYH8vM1DHKzk2FjWPTKTAq7vHBFjCXLBSIwwQxVqxuN\n3kSWH744U6mKaKBo3laXAJv1YNe+q1IpFG8Wk8WOsxfViJOKMbR/BsQCK6c4P393Z6LdD0aXAxLM\n1ui6QgqifCooKMCuXbuwc+dOZ8DvOXPm4LbbbvN7Sh0hDAlxEjx55wi8+flxnK/R4GBpIwxmGx6b\ndYXfN3wEQRAEQUQHXy533ZVzNeqI1WW02HH+kqO+OIkYWWm+gxILRXc3EIhk8/3t9a02BhqDFRkp\nCTF9UE84Zz4q1SZIJGJeTtLig0CKJ19rwWSx41y1GrJ4CQb3Sw/JusdotkGpblNkB3OlneFQUacN\n2yVQCFyNxAIprDzb16Aywmyzw2xzKENTk+KFEdApnLDF84XZagfLAkmy7rUfdne7izyC9XZaWhpm\nz56Nmpoa9OvXDwAQF0emp9EgMUGKp+8ehfe3ncLxsiacqVRh9aaj+MtdI4W/AREEQRAEERIajQaV\nlZWwWt2D24pEIowdO1aweh9++GFkZWXFsDtfZHY1WqM14sqnWLd8MprtuNigQ+9sOTIyonvil1Cc\nqmiG1c4gM0WGwf3S/eaL5ZFqVJtwqVGP/r1TnYomjd7itPAbNSgbsvjOt9muVRpgstphstqhN9mg\nNdqgC9Kq7ER5k9vnYDbcrSePRQJfijSl2oSqBh3yclLQIz3RK5+ngi7Q7cPuGsA6ApPX3eUrNleL\nnWFx7IIjcPuIgdmdRgHFR38GPjBDeATpaY7jsGbNGhQXF8Nms2HPnj144403kJiYiCVLlpASKgok\nxEnw2B1X4OPdpfjlVD0q63VY/vFB/GnWFRjQOzXa4hEEQRAEAWDr1q1YunQpbDab14OmSCRCSUmJ\nIPV+/fXX2Lt3L2bNmiVI+URgmBg3fTpT2Qw7y0JnsmFQ/yxeyoy1fanV7nBHadaZ/ebhnP+JTVrj\nupytbosRo9a3KbGNZnvsK598TAyrS+D2qnod9Oau7c7Yqiwsq9W4KJ/avg/odhdAuxaJqRsJhVNH\n41q5nlqoUJuQ3yslQO6OE06XdKgfOb8fAsXejwiC3H2Ki4vx1VdfYfHixVi2bBkAYOrUqVi6dCmy\ns7Px1FNPCVEt0Q5SiRgP3DYUafJ47P71Ipq0FhRtPIK5Nw3G5BF9oi0eQRAEQXR73nrrLcyYMQN/\n+MMfIJNFxvpGo9Fg9erVGDFiRETq6+wE2hOEu1+I9tvo9ogl96OO0tGejvpYheN3F2VqlQZoDVYU\n5KYiTioJmLe93u3MiqeqBh1sdhZ5OaErO1wVLp6KiUB95jZVIqAYijWlcqThOA5qvRUJcZIOWVTx\n2o+uWqYoj48gDs2fffYZXnrpJdxxxx3OhXLrrbdixYoV2LFjhxBVEkEiFokw+/pBeOj2YYiXimFn\nWGzYVYoNu0qienwoQRAEQRCAVqvFgw8+iIKCAuTm5nr9E4JVq1ZhxowZKCgoEKR8vuB7U9NZTrnq\njmgNVjSqTTHpthODIsU8Fxt1UBssqKgLwp2Nx/71OX+irLirbTKEdZ04kNtdkJaTHe1aluVwSaGH\npiWgPuFNk8aMs9UqnChXdug3xvXa1rHnY2m4K88jvxgEUT7V1NRg6NChXumFhYVQKBRCVEmEyFWX\n98Jzc8cguyWmwX9O1OGl9b/iVEVTO1cSBEEQBCEUU6dOxc8//xyx+vbv34/Dhw/jsccei1idsUIo\nJ0bFGkazHbVKA+xMZ7ZI8t3/dobFmapmlNdqoND4d4EjOgeuCiCjuf0X3Xyuys67wr1xVRO43rs4\ncKhR6n3m80zoqOK0RqFHtUKPkosqv3lclRudUVGrN9lgs4d/IlyDyuT8m2HC7wDXddNRN0P3cnkr\nKiwEcbvLzc3FyZMn0bdvX7f0vXv3OoOPE9EnLycFL/1hHD7ZcxaHShvRpLXg9c+OY9KI3rjzugKk\nyikYOUEQBEFEkmeffRa333479uzZg7y8PK+HTj6DgVutVixZsgSLFy9GfHzs/+bz+cysNVhhsoZr\n8R39HdWJckewXJ3RiiF5GWGVYbOzkIhFEItjy4fLZm9TqDVrzOiZzvNJ2dEfvg7BdUa/uxDoqLUb\nx3Ft902fhk+x1XfBttfdc4rfSRxsaU3aNmWwWz+7lsWTaP7KFxKVzoKz1Q7F2oShObzVH86cdn03\n4pQinNhRcL9buCu1Qi+vowiifHrwwQexdOlSKBQKcByH/fv347PPPkNxcTEWLlwoRJVEmCQnxuFP\nM4fjUGkjNn5zFlqjDftO1OFQaSNuuyofN47th/i4wL7ZBEEQBEHww4oVK2AwGGC1WnHp0iVB6/p/\n/+//Yfjw4bj66qs7VI5EoGPpJWL3cqVSMaRSsc/vXdNd4TjOK5/VxuBstdpnHQAgkYj81gMAEk85\nJGJnHs9rg8VXW321RW+yQZ4Y58yvNdrCqs9kseN4mRIJ8RKMGpTd7iartb5WRRUfYy6R+u43KdPx\n/gyEnWV9zp320gBH/FS7hGt3vHzNK9d8HMeB5bzL8YdrPolEDKmf/vfZBqnIme65hoKqWyJ2+3+w\nWG0M4uMkbu1sHc9A7XZdT60ye6YFQioVO+cz4zHWQMu8k4ghCsPyUSppv/+CkVUiETlllPpYBz7H\n0e0+478OzzGW+rk/SSUu88KjXeV1WshUZvTNSvQqq/X0PNd+9mxbuOvXs92u5fsrN5jfAU/c+lza\nVlZds8GZLhKL/K6zgG2QeK83X3Pe/TfGpW0t+W0M61UOy3r/nvlCLBFBwrSNrfu91vd8EOp33BNB\nlE+/+93vYLfb8d5778FsNuOll15CZmYm/vKXv+Cee+4JqazWt3LffvstZDIZHnjgAdx///0+8/70\n00948803UVVVhby8PDz55JOYMmUKH03q8owt7Ikheen47IcL+OVUPcxWBlt/LsdPRy/h9msG4Orh\nvcJagARBEARBBM/evXvx3nvvYfLkyYLXtWvXLjQ1NeHKK68EANhsjkC+e/bswZEjR4IuJzWVZ8uU\nFuTyBLfP6WlJkCVIfX6fkSH3WQbHcV75VFqzV9mupKQkupXnS47kpDZLsWSlEfaWd8vp6fKwLMc9\n6/DVnqo6LSobDOiRkRhU2wNxqUyJpCRHGQmJCZAntp1ErdKaYbLa0TtL7tz8ecrHx5jHmWyQyx3u\nQikpCc52JJhtzvqSXdL5wmSxQy5viz2UnCJDnFTis0+9xj5D3nJ94PHyN79a8x071wid0YbRQ3q6\n9b0/PGXz90zuqw3NBhu0JocbUVpaEjLCtCQLZcyr6rSorNOiR0YiCvMznXIlJkiRkSFvZ/3JIDe1\nWSVmZMjd1lh7pKfLnUpSO8P6XL9ytTkst1udhcFlaUmQ+LEWNJhsMNn1AdvnKaPRzkGudZy+lpaW\n5NU/reOY0myCtcUoMDU1EXK5b5fU1jJaSdVZYWi5UJ4sgzhOirTkBFhYQK62OMtrvaZJY4LezEBv\nNiErTYZeWW1lJSfrIGmJEezaBldSdFboLY76UlITQ1q/ru32LN/GiSBXmb3kDfVeyLAcyhvaxijV\n5X6fnKwHxDZn/XFBKrPKatSw2lgMyc9AcrIBrEjcIk8S4qQSiOOkkMvdY325ypqS0nZNenoSZPFS\nxJva7oPxcRJkZMjBsO6/Z+I4KWx2FtkeazpZroU0jnGWx0kkkOscc8zKtvVZSlI87/fX9hBE+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KpJBI27dIlEhEbjJV1OvdxjwlxSEzw7Ah9Wd8nCTkMdBbGMHWOh/YgaD7PxyEmrOy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oRDJ70IhON44b39eOCm+VkLBuvoFJLS0lIcPXoUdXV1vO3bt29HeXn5CLUq/+xpE3uaW000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+YATtPU7UV1rQPMUqPhYl9pKIRNm451cy5BKkK9HRJw7joShgVmMZXN6wrLCkVtwVt5/8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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x115dcdac8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"pm.traceplot(trace[-keep:], varnames=['p_retro_10000', 'p_prosp_10000', 'μ', 'σ']);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Summary statistics from each of the above parameters."
]
},
{
"cell_type": "code",
"execution_count": 31,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"\n",
"p_retro_10000:\n",
"\n",
" Mean SD MC Error 95% HPD interval\n",
" -------------------------------------------------------------------\n",
" \n",
" 9.2213 2.6415 0.1869 [3.8420, 13.8150]\n",
"\n",
" Posterior quantiles:\n",
" 2.5 25 50 75 97.5\n",
" |--------------|==============|==============|--------------|\n",
" \n",
" 4.5703 7.4206 9.0588 10.9094 14.9693\n",
"\n",
"\n",
"p_prosp_10000:\n",
"\n",
" Mean SD MC Error 95% HPD interval\n",
" -------------------------------------------------------------------\n",
" \n",
" 1.3419 1.3473 0.0405 [0.0020, 3.9332]\n",
"\n",
" Posterior quantiles:\n",
" 2.5 25 50 75 97.5\n",
" |--------------|==============|==============|--------------|\n",
" \n",
" 0.0364 0.3704 0.9296 1.8814 4.9647\n",
"\n",
"\n",
"μ:\n",
"\n",
" Mean SD MC Error 95% HPD interval\n",
" -------------------------------------------------------------------\n",
" \n",
" -7.0309 0.3003 0.0216 [-7.7169, -6.5332]\n",
"\n",
" Posterior quantiles:\n",
" 2.5 25 50 75 97.5\n",
" |--------------|==============|==============|--------------|\n",
" \n",
" -7.6903 -7.2053 -7.0057 -6.8196 -6.5028\n",
"\n",
"\n",
"σ:\n",
"\n",
" Mean SD MC Error 95% HPD interval\n",
" -------------------------------------------------------------------\n",
" \n",
" 1.1507 0.2241 0.0195 [0.7943, 1.6089]\n",
"\n",
" Posterior quantiles:\n",
" 2.5 25 50 75 97.5\n",
" |--------------|==============|==============|--------------|\n",
" \n",
" 0.8260 0.9857 1.1137 1.2762 1.7015\n",
"\n"
]
}
],
"source": [
"pm.summary(trace[-keep:], varnames=['p_retro_10000', 'p_prosp_10000', 'μ', 'σ'], roundto=4)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"By comparison, estimates from Pritts' supplement:\n",
"\n",
"![pritts estimates](pritts_table.png)"
]
},
{
"cell_type": "code",
"execution_count": 32,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"p_vars = ['p_retro_10000', 'p_prosp_10000']\n",
"intervals = [pm.stats.hpd(trace[var][-keep:]) for var in p_vars]"
]
},
{
"cell_type": "code",
"execution_count": 33,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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dXEeNGlWouObl5enw4cNatmyZBg8e7NJwAAAAQIFr+srX4tStW1eLFi1Sx44d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\nrkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x11707fe10>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"meds = [np.median(trace[var][-keep:]) for var in p_vars]\n",
"upper = [i[1] - m for m,i in zip(meds, intervals)]\n",
"lower = [m - i[0] for m,i in zip(meds, intervals)]\n",
"\n",
"plt.errorbar(np.arange(2)-0.1, meds, yerr=[lower, upper], fmt='s', label='Updated MA')\n",
"plt.errorbar(np.arange(2)+0.1, [5.7, 1.2], yerr=[[5.7-1.7, 1.2], [11.3 - 5.7,7.5 - 1.2]], \n",
" color='r', fmt='D', label='Pritts MA', elinewidth=0.5)\n",
"plt.xticks(range(3), ['Retrospective', 'Prospective'])\n",
"plt.ylabel('Rate per 10,000 surgeries')\n",
"plt.xlim(-0.5, 1.5)\n",
"plt.legend();"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Goodness of fit\n",
"\n",
"To check how well the model fits the data, I conducted posteior predictive checks. This simulates data from the model for each data point (*i.e.* study) in the meta-analysis, and compares the distribution of these simulated values (here, 500 replicates) with the value of the data itself. If the percentile of the datum is very extreme (either large or small), then it is evidence that the model does not adequately fit the data. The distribution of percentiles in the bottom histogram shows that there is no evidence of lack of fit."
]
},
{
"cell_type": "code",
"execution_count": 34,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"100%|██████████| 500/500 [00:02<00:00, 180.22it/s] | 12/500 [00:00<00:04, 118.72it/s]\n"
]
}
],
"source": [
"ppc = pm.sample_ppc(trace, model=pritts_update, samples=500)"
]
},
{
"cell_type": "code",
"execution_count": 35,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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6Q0KCFRoaGK+NY8039M06euYb+mZdW/XKcsi96aablJ2dreuuu06RkZEntfMZM2aoV69e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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x115b02d30>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from scipy.stats import percentileofscore\n",
" \n",
"p = [percentileofscore(s, o).round(2) for s,o in zip(ppc['obs'].T, tumors)]\n",
" \n",
"plt.hist(p)\n",
"plt.xlabel('percentile')\n",
"plt.ylabel('frequency');"
]
}
],
"metadata": {
"anaconda-cloud": {},
"kernelspec": {
"display_name": "Python [default]",
"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": "3.5.2"
},
"latex_envs": {
"bibliofile": "biblio.bib",
"cite_by": "apalike",
"current_citInitial": 1,
"eqLabelWithNumbers": true,
"eqNumInitial": 0
}
},
"nbformat": 4,
"nbformat_minor": 1
}
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