diff --git a/python_R/notebooks/Chapter 1 - Exploratory Data Analysis.ipynb b/python_R/notebooks/Chapter 1 - Exploratory Data Analysis.ipynb new file mode 100644 index 0000000..1e3eae0 --- /dev/null +++ b/python_R/notebooks/Chapter 1 - Exploratory Data Analysis.ipynb @@ -0,0 +1,2306 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Practical Statistics for Data Scientists (Python + R)\n", + "# Chapter 1. Exploratory Data Analysis\n", + "> (c) 2019 Peter C. Bruce, Andrew Bruce, Peter Gedeck" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Loading the rpy2 extension in a notebook with the Python kernel" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "import sys\n", + "import io\n", + "\n", + "stderr_original = sys.stderr\n", + "sys.stderr = io.StringIO()\n", + "\n", + "# Loading the extension without noise\n", + "%load_ext rpy2.ipython\n", + "\n", + "sys.stderr = stderr_original # Restore silently" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "%%R\n", + "suppressWarnings(\n", + " invisible(\n", + " try(Sys.setlocale(\"LC_ALL\", \"English\"), silent = TRUE)\n", + " )\n", + ")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Import packages" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Import Python packages" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [], + "source": [ + "%matplotlib inline\n", + "\n", + "from pathlib import Path\n", + "\n", + "import pandas as pd\n", + "import numpy as np\n", + "from scipy.stats import trim_mean\n", + "from statsmodels import robust\n", + "import wquantiles\n", + "\n", + "import seaborn as sns\n", + "import matplotlib.pylab as plt" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [], + "source": [ + "try:\n", + " import common\n", + " DATA = common.dataDirectory()\n", + "except ImportError:\n", + " DATA = Path().resolve() / 'data'" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Import required R packages" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "\n", + "Dolaczanie pakietu: 'dplyr'\n", + "\n", + "Nastepujace obiekty zostaly zakryte z 'package:stats':\n", + "\n", + " filter, lag\n", + "\n", + "Nastepujace obiekty zostaly zakryte z 'package:base':\n", + "\n", + " intersect, setdiff, setequal, union\n", + "\n", + "corrplot 0.95 loaded\n", + "\n", + "Dolaczanie pakietu: 'matrixStats'\n", + "\n", + "Nastepujacy obiekt zostal zakryty z 'package:dplyr':\n", + "\n", + " count\n", + "\n", + "In addition: Warning messages:\n", + "1: pakiet 'corrplot' zostal zbudowany w wersji R 4.5.3 \n", + "2: pakiet 'gmodels' zostal zbudowany w wersji R 4.5.3 \n", + "3: pakiet 'matrixStats' zostal zbudowany w wersji R 4.5.3 \n", + "4: pakiet 'hexbin' zostal zbudowany w wersji R 4.5.3 \n" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "%%R\n", + "Sys.setlocale(\"LC_ALL\", \"English\")\n", + "# Install missing packages if needed\n", + "packages <- c(\"dplyr\", \"tidyr\", \"ggplot2\", \"corrplot\", \"gmodels\", \"matrixStats\", \"hexbin\")\n", + "installed <- rownames(installed.packages())\n", + "to_install <- packages[!packages %in% installed]\n", + "if (length(to_install) > 0) {\n", + " install.packages(to_install, repos = 'https://cloud.r-project.org/')\n", + "}\n", + "\n", + "# Load them all\n", + "library(dplyr)\n", + "library(tidyr)\n", + "library(ggplot2)\n", + "library(corrplot)\n", + "library(gmodels)\n", + "library(matrixStats)\n", + "library(hexbin)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Defining data paths\n", + "Define paths to data sets. If you don't keep your data in the same directory as the code, adapt the path names." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Data Assignment - Python" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [], + "source": [ + "AIRLINE_STATS_CSV = DATA / 'airline_stats.csv'\n", + "KC_TAX_CSV = DATA / 'kc_tax.csv.gz'\n", + "LC_LOANS_CSV = DATA / 'lc_loans.csv'\n", + "AIRPORT_DELAYS_CSV = DATA / 'dfw_airline.csv'\n", + "SP500_DATA_CSV = DATA / 'sp500_data.csv.gz'\n", + "SP500_SECTORS_CSV = DATA / 'sp500_sectors.csv'\n", + "STATE_CSV = DATA / 'state.csv'" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Data Assignment - R" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [], + "source": [ + "%%R \n", + "PSDS_PATH <- file.path(dirname(dirname(getwd())))\n", + " \n", + "state <- read.csv(file.path(PSDS_PATH, 'data', 'state.csv'))\n", + "dfw <- read.csv(file.path(PSDS_PATH, 'data', 'dfw_airline.csv'))\n", + "sp500_px <- read.csv(file.path(PSDS_PATH, 'data', 'sp500_data.csv.gz'), row.names=1)\n", + "sp500_sym <- read.csv(file.path(PSDS_PATH, 'data', 'sp500_sectors.csv'), stringsAsFactors = FALSE)\n", + "kc_tax <- read.csv(file.path(PSDS_PATH, 'data', 'kc_tax.csv.gz'))\n", + "lc_loans <- read.csv(file.path(PSDS_PATH, 'data', 'lc_loans.csv'))\n", + "airline_stats <- read.csv(file.path(PSDS_PATH, 'data', 'airline_stats.csv'), stringsAsFactors = FALSE)\n", + "airline_stats$airline <- ordered(airline_stats$airline, \n", + " levels=c('Alaska', 'American', 'Jet Blue', 'Delta', 'United', 'Southwest'))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Summary: Defining data paths\n", + "\n", + "| Operation | Python | R | Notes |\n", + "|---|---|---|---|\n", + "| Base path setup | `Path(...)` / explicit strings | direct path strings in `read.csv()` | Both point to the same chapter datasets. |\n", + "| Dataset loading | `pd.read_csv(...)` | `read.csv(...)` | Equivalent import step with language-specific defaults. |\n", + "| Basic preprocessing | pandas column transforms | base R column transforms | Both align units before analysis. |\n", + "\n", + "Python makes path handling and transformations explicit through objects, while R keeps data import and quick preprocessing concise." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Estimates of Location\n", + "## Example: Location Estimates of Population and Murder Rates" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Python" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " State Population Murder.Rate Abbreviation\n", + "0 Alabama 4779736 5.7 AL\n", + "1 Alaska 710231 5.6 AK\n", + "2 Arizona 6392017 4.7 AZ\n", + "3 Arkansas 2915918 5.6 AR\n", + "4 California 37253956 4.4 CA\n", + "5 Colorado 5029196 2.8 CO\n", + "6 Connecticut 3574097 2.4 CT\n", + "7 Delaware 897934 5.8 DE\n" + ] + } + ], + "source": [ + "# Table 1-2\n", + "state = pd.read_csv(STATE_CSV)\n", + "print(state.head(8))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Compute the mean, trimmed mean, and median for Population. For `mean` and `median` we can use the _pandas_ methods of the data frame. The trimmed mean requires the `trim_mean` function in _scipy.stats_." + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "6162876.3\n" + ] + } + ], + "source": [ + "state = pd.read_csv(STATE_CSV)\n", + "print(state['Population'].mean())" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "4783697.125\n" + ] + } + ], + "source": [ + "print(trim_mean(state['Population'], 0.1))" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "4436369.5\n" + ] + } + ], + "source": [ + "print(state['Population'].median())" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Weighted mean is available with numpy. For weighted median, we can use the specialised package `wquantiles` (https://pypi.org/project/wquantiles/)." + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "4.066\n" + ] + } + ], + "source": [ + "print(state['Murder.Rate'].mean())" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "4.445833981123393\n" + ] + } + ], + "source": [ + "print(np.average(state['Murder.Rate'], weights=state['Population']))" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": { + "scrolled": true + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "4.4\n" + ] + } + ], + "source": [ + "print(wquantiles.median(state['Murder.Rate'], weights=state['Population']))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### R\n", + "R shows the same location estimators (mean, trimmed mean, median, and weighted variants) using base functions and `matrixStats`." + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " State Population Murder.Rate Abbreviation\n", + "1 Alabama 4,779,736 5.7 AL\n", + "2 Alaska 710,231 5.6 AK\n", + "3 Arizona 6,392,017 4.7 AZ\n", + "4 Arkansas 2,915,918 5.6 AR\n", + "5 California 37,253,956 4.4 CA\n", + "6 Colorado 5,029,196 2.8 CO\n", + "7 Connecticut 3,574,097 2.4 CT\n", + "8 Delaware 897,934 5.8 DE\n" + ] + } + ], + "source": [ + "%%R\n", + "# Table 1-2\n", + "state_asc <- state\n", + "state_asc[['Population']] <- formatC(state_asc[['Population']], format='d', digits=0, big.mark=',')\n", + "state_asc[1:8,]" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[1] 6162876 4783697 4436370\n" + ] + } + ], + "source": [ + "%%R\n", + "results <- c(\n", + " mean(state[['Population']]),\n", + " mean(state[['Population']], trim=0.1),\n", + " median(state[['Population']])\n", + ")\n", + "print(results)" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[1] 4.445834 4.400000\n" + ] + } + ], + "source": [ + "%%R\n", + "library('matrixStats')\n", + "results <- c(\n", + " weighted.mean(state[['Murder.Rate']], w=state[['Population']]),\n", + " weightedMedian(state[['Murder.Rate']], w=state[['Population']])\n", + ")\n", + "print(results)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Summary: Estimates of Location\n", + "\n", + "| Operation | Python | R | Notes |\n", + "|---|---|---|---|\n", + "| Mean, median | `Series.mean()`, `Series.median()` | `mean()`, `median()` | Both approaches are direct and readable. |\n", + "| Trimmed mean | `scipy.stats.trim_mean()` | `mean(trim=...)` | In R, trimming is built into `mean`. |\n", + "| Weighted measures | `np.average()`, `wquantiles.median()` | `weighted.mean()`, `matrixStats::weightedMedian()` | Python more often combines multiple packages for a complete set of measures. |\n", + "\n", + "Python is more object-oriented around `pandas` columns, while R more often uses concise statistical functions. In practice, both languages provide a comparable set of measures with different API ergonomics.\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Estimates of Variability" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Python" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " State Population Murder.Rate Abbreviation\n", + "0 Alabama 4779736 5.7 AL\n", + "1 Alaska 710231 5.6 AK\n", + "2 Arizona 6392017 4.7 AZ\n", + "3 Arkansas 2915918 5.6 AR\n", + "4 California 37253956 4.4 CA\n", + "5 Colorado 5029196 2.8 CO\n", + "6 Connecticut 3574097 2.4 CT\n", + "7 Delaware 897934 5.8 DE\n" + ] + } + ], + "source": [ + "# Table 1-2\n", + "print(state.head(8))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Standard deviation" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "6848235.347401142\n" + ] + } + ], + "source": [ + "print(state['Population'].std())" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Interquartile range is calculated as the difference of the 75% and 25% quantile." + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "4847308.0\n" + ] + } + ], + "source": [ + "print(state['Population'].quantile(0.75) - state['Population'].quantile(0.25))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Median absolute deviation from the median can be calculated with a method in _statsmodels_" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "3849876.1459979336\n", + "3849876.1459979336\n" + ] + } + ], + "source": [ + "print(robust.scale.mad(state['Population']))\n", + "print(abs(state['Population'] - state['Population'].median()).median() / 0.6744897501960817)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### R\n", + "R computes variability measures analogous to Python: standard deviation, IQR, and MAD." + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[1] 6848235 4847308 3849870\n" + ] + } + ], + "source": [ + "%%R\n", + "results <- c(\n", + " sd(state[['Population']]),\n", + " IQR(state[['Population']]),\n", + " mad(state[['Population']])\n", + ")\n", + "print(results)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Summary: Estimates of Variability\n", + "\n", + "| Operation | Python | R | Notes |\n", + "|---|---|---|---|\n", + "| Standard deviation | `Series.std()` | `sd()` | Same computational semantics. |\n", + "| IQR | `quantile(0.75)-quantile(0.25)` | `IQR()` | R has a convenient dedicated function. |\n", + "| MAD | `statsmodels.robust.scale.mad()` | `mad()` | Python usually needs an additional package. |\n", + "\n", + "Python offers high control through composable operations, while R provides more built-in statistical shortcuts. The difference is mostly practical, not conceptual.\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Percentiles and Boxplots" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Python\n", + "_Pandas_ has the `quantile` method for data frames." + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "0.05 1.600\n", + "0.25 2.425\n", + "0.50 4.000\n", + "0.75 5.550\n", + "0.95 6.510\n", + "Name: Murder.Rate, dtype: float64\n" + ] + } + ], + "source": [ + "print(state['Murder.Rate'].quantile([0.05, 0.25, 0.5, 0.75, 0.95]))" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " 5.0% 25.0% 50.0% 75.0% 95.0%\n", + "Murder.Rate 1.6 2.425 4.0 5.55 6.51\n" + ] + } + ], + "source": [ + "# Table 1.4\n", + "percentages = [0.05, 0.25, 0.5, 0.75, 0.95]\n", + "df = pd.DataFrame(state['Murder.Rate'].quantile(percentages))\n", + "df.index = [f'{p * 100}%' for p in percentages]\n", + "print(df.transpose())" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "_Pandas_ provides a number of basic exploratory plots; one of them are boxplots" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "ax = (state['Population']/1_000_000).plot.box(figsize=(3, 4))\n", + "ax.set_ylabel('Population (millions)')\n", + "\n", + "plt.tight_layout()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### R\n", + "R uses `quantile` and `boxplot` to present percentiles and distribution shape." + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " 5% 25% 50% 75% 95% \n", + "1.600 2.425 4.000 5.550 6.510 \n" + ] + } + ], + "source": [ + "%%R\n", + "quantile(state[['Murder.Rate']], p=c(.05, .25, .5, .75, .95))" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": "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", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "%%R\n", + "boxplot(state[['Population']]/1000000, ylab='Population [mln]')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Summary: Percentiles and Boxplots\n", + "\n", + "| Operation | Python | R | Notes |\n", + "|---|---|---|---|\n", + "| Percentiles | `Series.quantile([...])` | `quantile(..., p=...)` | Both approaches support a list of levels. |\n", + "| Percentile table | `DataFrame(...)` + index formatting | `quantile()` output | Python makes publication-style formatting easy. |\n", + "| Boxplot | `Series.plot.box()` | `boxplot()` | Both libraries provide a native boxplot implementation. |\n", + "\n", + "In Python, the usual path is data -> DataFrame -> plot, while in R it is often statistical function -> plotting function. This affects coding style more than interpretation.\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Frequency Table and Histograms" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Python\n", + "The `cut` method for _pandas_ data splits the dataset into bins. There are a number of arguments for the method. The following code creates equal sized bins. The method `value_counts` returns a frequency table." + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Population\n", + "(526935.67, 4232659.0] 24\n", + "(4232659.0, 7901692.0] 14\n", + "(7901692.0, 11570725.0] 6\n", + "(11570725.0, 15239758.0] 2\n", + "(15239758.0, 18908791.0] 1\n", + "(18908791.0, 22577824.0] 1\n", + "(22577824.0, 26246857.0] 1\n", + "(33584923.0, 37253956.0] 1\n", + "(26246857.0, 29915890.0] 0\n", + "(29915890.0, 33584923.0] 0\n", + "Name: count, dtype: int64\n" + ] + } + ], + "source": [ + "binnedPopulation = pd.cut(state['Population'], 10)\n", + "print(binnedPopulation.value_counts())" + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " BinRange Count \\\n", + "0 (526935.67, 4232659.0] 24 \n", + "1 (4232659.0, 7901692.0] 14 \n", + "2 (7901692.0, 11570725.0] 6 \n", + "3 (11570725.0, 15239758.0] 2 \n", + "4 (15239758.0, 18908791.0] 1 \n", + "5 (18908791.0, 22577824.0] 1 \n", + "6 (22577824.0, 26246857.0] 1 \n", + "7 (26246857.0, 29915890.0] 0 \n", + "8 (29915890.0, 33584923.0] 0 \n", + "9 (33584923.0, 37253956.0] 1 \n", + "\n", + " States \n", + "0 WY,VT,ND,AK,SD,DE,MT,RI,NH,ME,HI,ID,NE,WV,NM,N... \n", + "1 KY,LA,SC,AL,CO,MN,WI,MD,MO,TN,AZ,IN,MA,WA \n", + "2 VA,NJ,NC,GA,MI,OH \n", + "3 PA,IL \n", + "4 FL \n", + "5 NY \n", + "6 TX \n", + "7 \n", + "8 \n", + "9 CA \n" + ] + } + ], + "source": [ + "# Table 1.5\n", + "binnedPopulation.name = 'binnedPopulation'\n", + "df = pd.concat([state, binnedPopulation], axis=1)\n", + "df = df.sort_values(by='Population')\n", + "\n", + "groups = []\n", + "for group, subset in df.groupby(by='binnedPopulation', observed=False):\n", + " groups.append({\n", + " 'BinRange': group,\n", + " 'Count': len(subset),\n", + " 'States': ','.join(subset.Abbreviation)\n", + " })\n", + "print(pd.DataFrame(groups))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "_Pandas_ also supports histograms for exploratory data analysis." + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "ax = (state['Population'] / 1_000_000).plot.hist(figsize=(4, 4))\n", + "ax.set_xlabel('Population (millions)')\n", + "\n", + "plt.tight_layout()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### R\n", + "R creates bins with `cut`, frequency tables with `table`, and histograms with `hist`." + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "pop_freq\n", + "[5.64e+05,4.23e+06] (4.23e+06,7.9e+06] (7.9e+06,1.16e+07] (1.16e+07,1.52e+07] \n", + " 24 14 6 2 \n", + "(1.52e+07,1.89e+07] (1.89e+07,2.26e+07] (2.26e+07,2.62e+07] (2.62e+07,2.99e+07] \n", + " 1 1 1 0 \n", + "(2.99e+07,3.36e+07] (3.36e+07,3.73e+07] \n", + " 0 1 \n" + ] + } + ], + "source": [ + "%%R\n", + "breaks <- seq(from=min(state[['Population']]), \n", + " to=max(state[['Population']]), length=11)\n", + "pop_freq <- cut(state[['Population']], breaks=breaks, \n", + " right=TRUE, include.lowest=TRUE)\n", + "state['PopFreq'] <- pop_freq\n", + "table(pop_freq)" + ] + }, + { + "cell_type": "code", + "execution_count": 32, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "%%R\n", + "options(scipen=5)\n", + "hist(state[['Population']], breaks=breaks)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Summary: Frequency Table and Histograms\n", + "\n", + "| Operation | Python | R | Notes |\n", + "|---|---|---|---|\n", + "| Binning | `pd.cut()` | `cut()` | Functionally very similar. |\n", + "| Frequency table | `value_counts()` | `table()` | R offers a simple, base contingency table function. |\n", + "| Histogram | `plot.hist()` | `hist()` | Both are standard EDA tools. |\n", + "\n", + "Python integrates frequency tables better with downstream `DataFrame` transformations, while R is very concise for univariate analysis. In both cases, bin design strongly affects conclusions.\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Density Estimates\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Python\n", + "Density is an alternative to histograms that can provide more insight into the distribution of the data points. Use the argument `bw_method` to control the smoothness of the density curve." + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "ax = state['Murder.Rate'].plot.hist(density=True, xlim=[0, 12], \n", + " bins=range(1,12), figsize=(4, 4))\n", + "state['Murder.Rate'].plot.density(ax=ax)\n", + "ax.set_xlabel('Murder Rate (per 100,000)')\n", + "\n", + "plt.tight_layout()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### R\n", + "Density is an alternative to histograms that can provide more insight into the distribution of the data points. " + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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eQBuzgJQTcIRT2PtZdDMkAF4iAJ5UEN8+ejTwkSdZKS/g+Kaw7xncGhAALxEATyuIbh/t+ZWslBtwwg6Ydh3cHg42wFEJe34lix9wbLdH+53BKYCXzjGvZI1vqwwGH+CYhP2eRXMEjmwKewVOAbx4fAO3y+mjSy1wBRyRMIAnFmibFXh8Aqd8geMR9gyslNNHl1rgBjiqKewRuPuDDuAl4hdYLaePLrUAwC7bAjiE+APWTkVYAUcj7BW4U04fXWqBI+CYpjCAJxbU2xaLsDdgfQwYAUc0hX0Cd8vpo0stALCztoadGDPgSIQ9Amvl9NGlFjgDjmcKA3hiQbN9cQgDeGLBwAYGGQBPLGhtYBTCnoBNm88LOJYp7A9YL6ePLrXAMXAMwn6AjRvPDDgSYW/AhnL66FILnALHsZP2Amz+2eYIHL6wL2BTOX10qQVugaOYwj6Ae36yWQIHL+wJ2FhOH11qgWPgGKawB+C+n2uewKEL+wE2l9NHl1rgGjiCKeweuPenGsBLxDlw/16LKXDgwj6A+8rpo0stcA4cvrBr4IENZgkcvLA74Pbz38yhjy61wAOw9hE7a6zDSu6hH2laOsBi+8XWehxdaoEP4MkfkrUOK7mHfqRpMQMTBs97gS/gSb9qxjqs5B76kaZFBx7yZQusCgN4yQI/wIowa+ChIzBn4Gm/9tw6rOQe+pGmxQRMGjzvBd6Apzwdyjqs5B76kaalCzw8gXkDH3bTjIEtvsyBS+E05Qts8+UOXAtbRiFa4BFbZl1x7wVegVvEQ86RAtt9TwA47xoPZ6gdZR16kaamc48wffC8F/gHrs413eWYdehBmhz1Lv8A/MIAruJPeX5gsQ4hvBsYFLC1B9VQ7WHQeBHgIN7ujQt4VA8m5NmB05FX+MsXxAcs0zGeGzgFcHtQ/PTQNnYMbHlu0uEAEoAfY2AR0wHbGuviLE9daZYXgB9z4PtjjK2LG3xuUntZAfjxB75vGdv6qZEsGZjB6nIC8DsJ4Pvy6Wtjje3H4P7nJqnLCMDvVIDz1kW0tTdbwUDSibcTLl/AB3g0MQl44notX8AJOO8eI3t6sy1u9ONlA/A7NeB8xKffqJdJU9Zr+QJ+wNbQLpOmrdfyBQDWgxmsFlgHNIAe+pFM0S+TzB+Csn9mCnEUt8BI1AEw84wGNpxkIREEM5h5AMw8lFeykAhCuQ5GIgjllSwkgmAGMw/lDX8kguAsmnkAzDzugJd89Z1XnJFIloB6CqCHAFbB8U4VwKGtAoB99hDAKgDYZw8BrAKAffYQwCoA2GcPAawCgH32EMAqBAuMBBkAMw+AmQfAzANg5gEw8wCYeQDMPABmHgAzjyPgx6uEeNeluL/+mrgW9R2gRzdPzjakFSg2gnZzYvbszsVgtuIGWIzsdkXp4fHlJs8+oA1vvqX9iNxeE28OFhuxpfSwEz8f9MFsxw2wuCte/vAdnZ3YolvaFM5+9YrSAf3W/uz5A6mX27OvikGkD2Y7boDllr0kzj9qD/vP3pB20dnzL4i7aPIMlrBuBrOOG2CxZyOv0/7mktR+e0k7Bmfrazm4hJCPngLYyWAeEs4Mfryi+RbrQAQmb4Q4idiRzrJCncEODhti/pCylfcUE35IHn9HHVj63MsCPQaLvSvtxI/sW64G9Syatot2M4Ppg9lOKNfB5fwjIhOBi40gfsRulxBP00K9DkaCDYCZB8DMA2DmATDzAJh5AMw8AGYeADMPgJkHwMwDYOYBMPMAmHkAzDwAZh4AMw+AmQfAzANg5mEF3Nxs2ny1Sy7eJhf/uNxeZmv58RjtvjrtVr3yOTNNXdPZ9nL7m5vk9Q35Y3LzhT/wSvy3FcAffPSQP/5Wu+NYB5YlzWdQFOBLcXct8UNUc4YJ8E7MOHnbq/wYqvyqvAu2BN5d766zZ7/f5Nknz+7kxweKP371ShY9fXVd3TErv1ODyqpuZ0U3AF4g4sMA25UwkR9DLQ1v5f3jJbBI9uzb6/zHrxpgca99UbQrdrhlbXX3/WEGa53JAHj+VJ8XqfalBXdFXXzVBv7uxf7z7xrg6mMixS66qq3al8fgag+tdCa/A+AFUpicbUrgW7G3FibicUBnmzbwf/767g+ZAly2uK5qa2DxEb/yEwqdzmQ/AF4mu4sHKXFd4VUTrg18983fLzPjDP74IFv/sS0OuVpnMgCeP+JjfSWwxPtgUx02i+8pwDs5S+XntM/LHXJzDC7bV4Xi3HqVa53JfgC8QOSutEA5v9sm4rRYfFXsVoudqgJc/QQUNb+ujrj7m/osutrFVyVir3+ZdzsrlwXgkNIAuwqAg0r5Spa7B2vu8UoWElIAzDwAZh4AMw+AmQfAzANg5gEw8wCYeQDMPABmHgAzD4CZB8DMA2DmATDz/B+O/Eh6I4jxbAAAAABJRU5ErkJggg==", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "%%R\n", + "hist(state[['Murder.Rate']], freq=FALSE )\n", + "lines(density(state[['Murder.Rate']]), lwd=3, col='blue')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Summary: Density Estimates\n", + "\n", + "| Operation | Python | R | Notes |\n", + "|---|---|---|---|\n", + "| Density histogram | `plot.hist(density=True)` | `hist(..., freq=FALSE)` | Equivalent scaling setup. |\n", + "| Density curve | `plot.density()` | `lines(density(...))` | R requires explicitly adding the layer. |\n", + "| Smoothing control | `bw_method` | `density()` parameters | Both languages support smoothness tuning. |\n", + "\n", + "Python promotes a layered style through object methods, while base R classically adds elements to an existing plot. Both styles support quick shape detection.\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Exploring Binary and Categorical Data" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Python" + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " Carrier ATC Weather Security Inbound\n", + "0 23.022989 30.400781 4.025214 0.122937 42.428079\n" + ] + } + ], + "source": [ + "# Table 1-6\n", + "dfw = pd.read_csv(AIRPORT_DELAYS_CSV)\n", + "print(100 * dfw / dfw.values.sum())" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "_Pandas_ also supports bar charts for displaying a single categorical variable." + ] + }, + { + "cell_type": "code", + "execution_count": 36, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "ax = dfw.transpose().plot.bar(figsize=(4, 4), legend=False)\n", + "ax.set_xlabel('Cause of delay')\n", + "ax.set_ylabel('Count')\n", + "\n", + "plt.tight_layout()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### R\n", + "R presents categorical structure with a simple bar plot and appropriate scaling." + ] + }, + { + "cell_type": "code", + "execution_count": 37, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "%%R\n", + "barplot(as.matrix(dfw) / 6, cex.axis=0.8, cex.names=0.7, \n", + " xlab='Cause of delay', ylab='Count')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Summary: Exploring Binary and Categorical Data\n", + "\n", + "| Operation | Python | R | Notes |\n", + "|---|---|---|---|\n", + "| Percentage shares | `100 * dfw / dfw.values.sum()` | scaling in `barplot(...)` | Python more often computes proportions explicitly before plotting. |\n", + "| Bar plot | `plot.bar()` | `barplot()` | Both workflows are short and readable. |\n", + "| Axis labels | `set_xlabel()`, `set_ylabel()` | `xlab`, `ylab` | R commonly sets these directly in function arguments. |\n", + "\n", + "In Python, data transformation and visualization are often separated, whereas in R they are often combined in the plotting call. This leads to different code-organization preferences.\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Correlation\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Python\n", + "First read the required datasets" + ] + }, + { + "cell_type": "code", + "execution_count": 38, + "metadata": {}, + "outputs": [], + "source": [ + "sp500_sym = pd.read_csv(SP500_SECTORS_CSV)\n", + "sp500_px = pd.read_csv(SP500_DATA_CSV, index_col=0)" + ] + }, + { + "cell_type": "code", + "execution_count": 39, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " T CTL FTR VZ LVLT\n", + "T 1.000000 0.474683 0.327767 0.677612 0.278626\n", + "CTL 0.474683 1.000000 0.419757 0.416604 0.286665\n", + "FTR 0.327767 0.419757 1.000000 0.287386 0.260068\n", + "VZ 0.677612 0.416604 0.287386 1.000000 0.242199\n", + "LVLT 0.278626 0.286665 0.260068 0.242199 1.000000\n" + ] + } + ], + "source": [ + "# Table 1-7\n", + "# Determine telecommunications symbols\n", + "telecomSymbols = sp500_sym[sp500_sym['sector'] == 'telecommunications_services']['symbol']\n", + "\n", + "# Filter data for dates July 2012 through June 2015\n", + "telecom = sp500_px.loc[sp500_px.index >= '2012-07-01', telecomSymbols]\n", + "print(telecom.corr())" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Next we focus on funds traded on major exchanges (sector == 'etf'). " + ] + }, + { + "cell_type": "code", + "execution_count": 40, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " XLI QQQ SPY DIA GLD VXX USO \\\n", + "2012-07-02 -0.376098 0.096313 0.028223 -0.242796 0.419998 -10.40 0.000000 \n", + "2012-07-03 0.376099 0.481576 0.874936 0.728405 0.490006 -3.52 0.250000 \n", + "2012-07-05 0.150440 0.096313 -0.103487 0.149420 0.239991 6.56 -0.070000 \n", + "2012-07-06 -0.141040 -0.491201 0.018819 -0.205449 -0.519989 -8.80 -0.180000 \n", + "2012-07-09 0.244465 -0.048160 -0.056445 -0.168094 0.429992 -0.48 0.459999 \n", + "\n", + " IWM XLE XLY XLU XLB XTL \\\n", + "2012-07-02 0.534641 0.028186 0.095759 0.098311 -0.093713 0.019076 \n", + "2012-07-03 0.926067 0.995942 0.000000 -0.044686 0.337373 0.000000 \n", + "2012-07-05 -0.171848 -0.460387 0.306431 -0.151938 0.103086 0.019072 \n", + "2012-07-06 -0.229128 0.206706 0.153214 0.080437 0.018744 -0.429213 \n", + "2012-07-09 -0.190939 -0.234892 -0.201098 -0.035751 -0.168687 0.000000 \n", + "\n", + " XLV XLP XLF XLK \n", + "2012-07-02 -0.009529 0.313499 0.018999 0.075668 \n", + "2012-07-03 0.000000 0.129087 0.104492 0.236462 \n", + "2012-07-05 -0.142955 -0.073766 -0.142490 0.066211 \n", + "2012-07-06 -0.095304 0.119865 0.066495 -0.227003 \n", + "2012-07-09 0.352630 -0.064548 0.018999 0.009457 \n" + ] + } + ], + "source": [ + "etfs = sp500_px.loc[sp500_px.index > '2012-07-01', \n", + " sp500_sym[sp500_sym['sector'] == 'etf']['symbol']]\n", + "print(etfs.head())" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Due to the large number of columns in this table, looking at the correlation matrix is cumbersome and it's more convenient to plot the correlation as a heatmap. The _seaborn_ package provides a convenient implementation for heatmaps." + ] + }, + { + "cell_type": "code", + "execution_count": 41, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots(figsize=(5, 4))\n", + "ax = sns.heatmap(etfs.corr(), vmin=-1, vmax=1, \n", + " cmap=sns.diverging_palette(20, 220, as_cmap=True),\n", + " ax=ax)\n", + "\n", + "plt.tight_layout()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The above heatmap works when you have color. For the greyscale images, as used in the book, we need to visualize the direction as well. The following code shows the strength of the correlation using ellipses." + ] + }, + { + "cell_type": "code", + "execution_count": 42, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from matplotlib.collections import EllipseCollection\n", + "from matplotlib.colors import Normalize\n", + "\n", + "def plot_corr_ellipses(data, figsize=None, **kwargs):\n", + " ''' https://stackoverflow.com/a/34558488 '''\n", + " M = np.array(data)\n", + " if not M.ndim == 2:\n", + " raise ValueError('data must be a 2D array')\n", + " fig, ax = plt.subplots(1, 1, figsize=figsize, subplot_kw={'aspect':'equal'})\n", + " ax.set_xlim(-0.5, M.shape[1] - 0.5)\n", + " ax.set_ylim(-0.5, M.shape[0] - 0.5)\n", + " ax.invert_yaxis()\n", + "\n", + " # xy locations of each ellipse center\n", + " xy = np.indices(M.shape)[::-1].reshape(2, -1).T\n", + "\n", + " # set the relative sizes of the major/minor axes according to the strength of\n", + " # the positive/negative correlation\n", + " w = np.ones_like(M).ravel() + 0.01\n", + " h = 1 - np.abs(M).ravel() - 0.01\n", + " a = 45 * np.sign(M).ravel()\n", + "\n", + " ec = EllipseCollection(widths=w, heights=h, angles=a, units='x', offsets=xy,\n", + " norm=Normalize(vmin=-1, vmax=1),\n", + " transOffset=ax.transData, array=M.ravel(), **kwargs)\n", + " ax.add_collection(ec)\n", + "\n", + " # if data is a DataFrame, use the row/column names as tick labels\n", + " if isinstance(data, pd.DataFrame):\n", + " ax.set_xticks(np.arange(M.shape[1]))\n", + " ax.set_xticklabels(data.columns, rotation=90)\n", + " ax.set_yticks(np.arange(M.shape[0]))\n", + " ax.set_yticklabels(data.index)\n", + "\n", + " return ec, ax\n", + "\n", + "m, ax = plot_corr_ellipses(etfs.corr(), figsize=(5, 4), cmap='bwr_r')\n", + "cb = plt.colorbar(m, ax=ax)\n", + "cb.set_label('Correlation coefficient')\n", + "\n", + "plt.tight_layout()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### R\n", + "R computes the correlation matrix with `cor` and visualizes it with ellipses via `corrplot`." + ] + }, + { + "cell_type": "code", + "execution_count": 43, + "metadata": {}, + "outputs": [], + "source": [ + "%%R\n", + "telecom <- sp500_px[, sp500_sym[sp500_sym$sector == 'telecommunications_services', 'symbol']]\n", + "telecom <- telecom[row.names(telecom) > '2012-07-01',]\n", + "telecom_cor <- cor(telecom)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Next we focus on funds traded on major exchanges (sector == 'etf'). " + ] + }, + { + "cell_type": "code", + "execution_count": 44, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "%%R\n", + "etfs <- sp500_px[row.names(sp500_px) > '2012-07-01', \n", + " sp500_sym[sp500_sym$sector == 'etf', 'symbol']]\n", + "corrplot(cor(etfs), method='ellipse')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Summary: Correlation\n", + "\n", + "| Operation | Python | R | Notes |\n", + "|---|---|---|---|\n", + "| Sector selection | `DataFrame` filtering | data-frame indexing | Both rely on conditional filtering. |\n", + "| Correlation matrix | `DataFrame.corr()` | `cor()` | Numeric output is directly comparable. |\n", + "| Correlation visualization | `sns.heatmap()`, custom ellipses | `corrplot(method='ellipse')` | R provides ready-made ellipse plots without custom code. |\n", + "\n", + "Python provides high visualization flexibility at the cost of more helper code. R offers a faster path to classic correlation plots.\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Scatterplots\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Python\n", + "Simple scatterplots are supported by _pandas_. Specifying the marker as `$\\u25EF$` uses an open circle for each point." + ] + }, + { + "cell_type": "code", + "execution_count": 45, + "metadata": { + "scrolled": true + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "ax = telecom.plot.scatter(x='T', y='VZ', figsize=(4, 4), marker='$\\u25EF$')\n", + "ax.set_xlabel('ATT (T)')\n", + "ax.set_ylabel('Verizon (VZ)')\n", + "ax.axhline(0, color='grey', lw=1)\n", + "ax.axvline(0, color='grey', lw=1)\n", + "\n", + "plt.tight_layout()\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 46, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "ax = telecom.plot.scatter(x='T', y='VZ', figsize=(4, 4), marker='$\\u25EF$', alpha=0.5)\n", + "ax.set_xlabel('ATT (T)')\n", + "ax.set_ylabel('Verizon (VZ)')\n", + "ax.axhline(0, color='grey', lw=1)\n", + "ax.axvline(0, color='grey', lw=1)\n", + "\n", + "plt.tight_layout()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### R\n", + "R builds a scatter plot for two variables and adds reference lines via `abline`." + ] + }, + { + "cell_type": "code", + "execution_count": 47, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[1] 754 5\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "%%R\n", + "# plot(telecom$T, telecom$VZ, xlab='T', ylab='VZ', cex=.8)\n", + "plot(telecom$T, telecom$VZ, xlab='ATT (T)', ylab='Verizon (VZ)')\n", + "abline(h=0, v=0, col='grey')\n", + "dim(telecom)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Summary: Scatterplots\n", + "\n", + "| Operation | Python | R | Notes |\n", + "|---|---|---|---|\n", + "| Scatter plot | `plot.scatter()` | `plot()` | Both tools support two-variable analysis well. |\n", + "| Reference lines | `axhline()`, `axvline()` | `abline(h=..., v=...)` | R uses one function for both lines. |\n", + "| Point transparency | `alpha=` | `col`/point parameters | Python has a direct `alpha` argument. |\n", + "\n", + "Python makes small aesthetic tweaks easy through the axes-object API, while R remains syntax-efficient. The analytical outcome is the same: quick insight into dependence.\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Exploring Two or More Variables\n", + "Load the kc_tax dataset and filter based on a variety of criteria" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Python" + ] + }, + { + "cell_type": "code", + "execution_count": 48, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "(432693, 3)\n" + ] + } + ], + "source": [ + "kc_tax = pd.read_csv(KC_TAX_CSV)\n", + "kc_tax0 = kc_tax.loc[(kc_tax.TaxAssessedValue < 750000) & \n", + " (kc_tax.SqFtTotLiving > 100) &\n", + " (kc_tax.SqFtTotLiving < 3500), :]\n", + "print(kc_tax0.shape)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### R\n", + "R filters data with `subset`, giving concise syntax for multiple logical conditions." + ] + }, + { + "cell_type": "code", + "execution_count": 49, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[1] 432693\n" + ] + } + ], + "source": [ + "%%R\n", + "kc_tax0 <- subset(kc_tax, TaxAssessedValue < 750000 & \n", + " SqFtTotLiving > 100 &\n", + " SqFtTotLiving < 3500)\n", + "nrow(kc_tax0)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Summary: Exploring Two or More Variables\n", + "\n", + "| Operation | Python | R | Notes |\n", + "|---|---|---|---|\n", + "| Data loading | `pd.read_csv()` | `read.csv()` | The basic operation is analogous. |\n", + "| Multi-criteria filtering | `df.loc[(...) & (...)]` | `subset(... & ...)` | R has very compact `subset` syntax. |\n", + "| Size after filtering | `DataFrame.shape` | `nrow()` | Python returns `(rows, columns)`, while R usually returns rows separately. |\n", + "\n", + "Python emphasizes explicit logical operations on columns, while R enables more declarative filtering. In both cases, data preparation is key before 2D visualization.\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Hexagonal binning and Contours \n", + "### Plotting numeric versus numeric data" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Python\n", + "If the number of data points gets large, scatter plots will no longer be meaningful. Here methods that visualize densities are more useful. The `hexbin` method for _pandas_ data frames is one powerful approach." + ] + }, + { + "cell_type": "code", + "execution_count": 50, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "ax = kc_tax0.plot.hexbin(x='SqFtTotLiving', y='TaxAssessedValue',\n", + " gridsize=30, sharex=False, figsize=(5, 4))\n", + "ax.set_xlabel('Finished Square Feet')\n", + "ax.set_ylabel('Tax Assessed Value')\n", + "\n", + "plt.tight_layout()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The _seaborn_ kdeplot is a two-dimensional extension of the density plot. The calculation of the 2D-density for the full dataset takes several minutes. It is sufficient to create the visualization with a smaller sample of the dataset. With 10,000 data points, creating the graph takes only seconds. While some details may be lost, the overall shape is preserved. " + ] + }, + { + "cell_type": "code", + "execution_count": 51, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots(figsize=(4, 4))\n", + "sns.kdeplot(data=kc_tax0.sample(10000), x='SqFtTotLiving', y='TaxAssessedValue', ax=ax)\n", + "ax.set_xlabel('Finished Square Feet')\n", + "ax.set_ylabel('Tax Assessed Value')\n", + "\n", + "plt.tight_layout()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### R\n", + "If the number of data points gets large, scatter plots will no longer be meaningful. Here methods that visualize densities are more useful. The `stat_hexbin` method for is one powerful approach." + ] + }, + { + "cell_type": "code", + "execution_count": 52, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "%%R\n", + "\n", + "graph <- ggplot(kc_tax0, (aes(x=SqFtTotLiving, y=TaxAssessedValue))) + \n", + " stat_binhex(color='white') + \n", + " theme_bw() + \n", + " scale_fill_gradient(low='white', high='blue') +\n", + " scale_y_continuous(labels = function(x) format(x, scientific = FALSE)) +\n", + " labs(x='Finished Square Feet', y='Tax-Assessed Value')\n", + "graph" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Visualize as a two-dimensional extension of the density plot. " + ] + }, + { + "cell_type": "code", + "execution_count": 53, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "%%R\n", + "graph <- ggplot(kc_tax0, aes(SqFtTotLiving, TaxAssessedValue)) +\n", + " theme_bw() + \n", + " geom_point(color='blue', alpha=0.1) + \n", + " geom_density2d(color='white') + \n", + " scale_y_continuous(labels = function(x) format(x, scientific = FALSE)) +\n", + " labs(x='Finished Square Feet', y='Tax-Assessed Value')\n", + "graph" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Summary: Hexagonal Binning and Contours\n", + "\n", + "| Operation | Python | R | Notes |\n", + "|---|---|---|---|\n", + "| Hexbin | `plot.hexbin()` | `stat_binhex()` | Both methods reduce overplotting effectively. |\n", + "| KDE 2D | `sns.kdeplot(x=..., y=...)` | `geom_density2d()` | Python uses direct KDE estimation, while R often overlays contour lines. |\n", + "| Data sample | `sample(10000)` | full set/subset in `ggplot` | Python explicitly demonstrates sampling for performance. |\n", + "\n", + "Python often requires explicit thinking about computational cost (e.g., sampling), while R conveniently layers plots in `ggplot2`. Both approaches reveal density structure effectively.\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Two Categorical Variables\n", + "Load the `lc_loans` dataset" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Python" + ] + }, + { + "cell_type": "code", + "execution_count": 54, + "metadata": {}, + "outputs": [], + "source": [ + "lc_loans = pd.read_csv(LC_LOANS_CSV)" + ] + }, + { + "cell_type": "code", + "execution_count": 55, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "status Charged Off Current Fully Paid Late All\n", + "grade \n", + "A 1562 50051 20408 469 72490\n", + "B 5302 93852 31160 2056 132370\n", + "C 6023 88928 23147 2777 120875\n", + "D 5007 53281 13681 2308 74277\n", + "E 2842 24639 5949 1374 34804\n", + "F 1526 8444 2328 606 12904\n", + "G 409 1990 643 199 3241\n", + "All 22671 321185 97316 9789 450961\n" + ] + } + ], + "source": [ + "# Table 1-8(1)\n", + "crosstab = lc_loans.pivot_table(index='grade', columns='status', \n", + " aggfunc=lambda x: len(x), margins=True)\n", + "print(crosstab)" + ] + }, + { + "cell_type": "code", + "execution_count": 56, + "metadata": { + "scrolled": true + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "status Charged Off Current Fully Paid Late All\n", + "grade \n", + "A 0.021548 0.690454 0.281528 0.006470 0.160746\n", + "B 0.040054 0.709013 0.235401 0.015532 0.293529\n", + "C 0.049828 0.735702 0.191495 0.022974 0.268039\n", + "D 0.067410 0.717328 0.184189 0.031073 0.164708\n", + "E 0.081657 0.707936 0.170929 0.039478 0.077177\n", + "F 0.118258 0.654371 0.180409 0.046962 0.028614\n", + "G 0.126196 0.614008 0.198396 0.061401 0.007187\n" + ] + } + ], + "source": [ + "# Table 1-8(2)\n", + "df = crosstab.copy().loc['A':'G',:].astype(float)\n", + "df.loc[:,'Charged Off':'Late'] = df.loc[:,'Charged Off':'Late'].div(df['All'], axis=0)\n", + "df['All'] = df['All'] / sum(df['All'])\n", + "perc_crosstab = df\n", + "print(perc_crosstab)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### R\n", + "R creates a cross-tabulation for categorical variables using `CrossTable` from `gmodels`." + ] + }, + { + "cell_type": "code", + "execution_count": 57, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + " \n", + " Cell Contents\n", + "|-------------------------|\n", + "| N |\n", + "| N / Row Total |\n", + "|-------------------------|\n", + "\n", + " \n", + "Total Observations in Table: 450961 \n", + "\n", + " \n", + " | lc_loans$status \n", + "lc_loans$grade | Charged Off | Current | Fully Paid | Late | Row Total | \n", + "---------------|-------------|-------------|-------------|-------------|-------------|\n", + " A | 1562 | 50051 | 20408 | 469 | 72490 | \n", + " | 0.022 | 0.690 | 0.282 | 0.006 | 0.161 | \n", + "---------------|-------------|-------------|-------------|-------------|-------------|\n", + " B | 5302 | 93852 | 31160 | 2056 | 132370 | \n", + " | 0.040 | 0.709 | 0.235 | 0.016 | 0.294 | \n", + "---------------|-------------|-------------|-------------|-------------|-------------|\n", + " C | 6023 | 88928 | 23147 | 2777 | 120875 | \n", + " | 0.050 | 0.736 | 0.191 | 0.023 | 0.268 | \n", + "---------------|-------------|-------------|-------------|-------------|-------------|\n", + " D | 5007 | 53281 | 13681 | 2308 | 74277 | \n", + " | 0.067 | 0.717 | 0.184 | 0.031 | 0.165 | \n", + "---------------|-------------|-------------|-------------|-------------|-------------|\n", + " E | 2842 | 24639 | 5949 | 1374 | 34804 | \n", + " | 0.082 | 0.708 | 0.171 | 0.039 | 0.077 | \n", + "---------------|-------------|-------------|-------------|-------------|-------------|\n", + " F | 1526 | 8444 | 2328 | 606 | 12904 | \n", + " | 0.118 | 0.654 | 0.180 | 0.047 | 0.029 | \n", + "---------------|-------------|-------------|-------------|-------------|-------------|\n", + " G | 409 | 1990 | 643 | 199 | 3241 | \n", + " | 0.126 | 0.614 | 0.198 | 0.061 | 0.007 | \n", + "---------------|-------------|-------------|-------------|-------------|-------------|\n", + " Column Total | 22671 | 321185 | 97316 | 9789 | 450961 | \n", + "---------------|-------------|-------------|-------------|-------------|-------------|\n", + "\n", + " \n" + ] + } + ], + "source": [ + "%%R\n", + "x_tab <- CrossTable(lc_loans$grade, lc_loans$status, \n", + " prop.c=FALSE, prop.chisq=FALSE, prop.t=FALSE)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Summary: Two Categorical Variables\n", + "\n", + "| Operation | Python | R | Notes |\n", + "|---|---|---|---|\n", + "| Cross-tabulation | `pivot_table(..., aggfunc=len)` | `CrossTable()` | R immediately provides richer descriptive statistics. |\n", + "| Row proportions | divide columns by `All` | `CrossTable` options | Python gives full control over normalization strategy. |\n", + "| Aggregate table | `margins=True` | totals/table options | Both support global-share analysis. |\n", + "\n", + "Python favors manual percentage transformations, which can be more transparent. R delivers an analysis-ready table faster via specialized functions.\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Categorical and Numeric Data\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Python\n", + "_Pandas_ boxplots of a column can be grouped by a different column." + ] + }, + { + "cell_type": "code", + "execution_count": 58, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "airline_stats = pd.read_csv(AIRLINE_STATS_CSV)\n", + "airline_stats.head()\n", + "ax = airline_stats.boxplot(by='airline', column='pct_carrier_delay',\n", + " figsize=(5, 5))\n", + "ax.set_xlabel('')\n", + "ax.set_ylabel('Daily % of Delayed Flights')\n", + "plt.suptitle('')\n", + "\n", + "plt.tight_layout()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "_Pandas_ also supports a variation of boxplots called _violinplot_. " + ] + }, + { + "cell_type": "code", + "execution_count": 59, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots(figsize=(5, 5))\n", + "sns.violinplot(data=airline_stats, x='airline', y='pct_carrier_delay',\n", + " ax=ax, inner='quartile', color='white')\n", + "ax.set_xlabel('')\n", + "ax.set_ylabel('Daily % of Delayed Flights')\n", + "\n", + "plt.tight_layout()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### R\n", + "R shows the relationship between a categorical and numeric variable using a boxplot and a violin-plot variant." + ] + }, + { + "cell_type": "code", + "execution_count": 60, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "%%R\n", + "boxplot(pct_carrier_delay ~ airline, data=airline_stats, ylim=c(0, 50), \n", + " cex.axis=.6, ylab='Daily % of Delayed Flights')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Variation of boxplots called _violinplot_. " + ] + }, + { + "cell_type": "code", + "execution_count": 61, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "R callback write-console: In addition: \n", + "R callback write-console: Warning messages:\n", + " \n", + "R callback write-console: 1: Removed 28 rows containing non-finite outside the scale range (`stat_ydensity()`). \n", + " \n", + "R callback write-console: 2: Removed 28 rows containing non-finite outside the scale range (`stat_ydensity()`). \n", + " \n" + ] + }, + { + "data": { + "text/plain": [ + "In addition: Warning message:\n", + "The `draw_quantiles` argument of `geom_violin()` is deprecated as of ggplot2 4.0.0.\n", + "i Please use the `quantiles.linetype` argument instead.\n", + "This warning is displayed once every 8 hours.\n", + "Call `lifecycle::last_lifecycle_warnings()` to see where this warning was generated. \n" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "%%R\n", + "graph <- ggplot(data=airline_stats, aes(airline, pct_carrier_delay)) + \n", + " geom_violin(draw_quantiles = c(.25,.5,.75), linetype=2) +\n", + " geom_violin(fill=NA, linewidth=1.1) +\n", + " coord_cartesian(ylim=c(0, 50)) +\n", + " labs(x='', y='Daily % of Delayed Flights') +\n", + " theme_bw()\n", + "graph" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Summary: Categorical and Numeric Data\n", + "\n", + "| Operation | Python | R | Notes |\n", + "|---|---|---|---|\n", + "| Grouped boxplot | `DataFrame.boxplot(by=...)` | `boxplot(y ~ x, data=...)` | Both languages support comparing distributions across categories. |\n", + "| Violinplot | `sns.violinplot()` | `geom_violin()` | `ggplot2` provides layered styling control. |\n", + "| Axis labels and range | `ax.*` methods | `labs()`, `coord_cartesian()` | Python more often configures parameters after plot creation. |\n", + "\n", + "R/`ggplot2` naturally leads to a layered declarative syntax, while Python mixes object-oriented style (`matplotlib`) with `seaborn` convenience. For EDA, both approaches are equally effective.\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Visualizing Multiple Variables" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Python" + ] + }, + { + "cell_type": "code", + "execution_count": 62, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "zip_codes = [98188, 98105, 98108, 98126]\n", + "kc_tax_zip = kc_tax0.loc[kc_tax0.ZipCode.isin(zip_codes),:]\n", + "kc_tax_zip\n", + "\n", + "def hexbin(x, y, color, **kwargs):\n", + " cmap = sns.light_palette(color, as_cmap=True)\n", + " plt.hexbin(x, y, gridsize=25, cmap=cmap, **kwargs)\n", + "\n", + "g = sns.FacetGrid(kc_tax_zip, col='ZipCode', col_wrap=2)\n", + "g.map(hexbin, 'SqFtTotLiving', 'TaxAssessedValue', \n", + " extent=[0, 3500, 0, 700000])\n", + "g.set_axis_labels('Finished Square Feet', 'Tax Assessed Value')\n", + "g.set_titles('Zip code {col_name:.0f}')\n", + "\n", + "plt.tight_layout()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### R\n", + "R uses `facet_wrap` to compare variable relationships across several ZIP codes at once." + ] + }, + { + "cell_type": "code", + "execution_count": 63, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "%%R\n", + "graph <- ggplot(subset(kc_tax0, ZipCode %in% c(98188, 98105, 98108, 98126)),\n", + " aes(x=SqFtTotLiving, y=TaxAssessedValue)) + \n", + " stat_binhex(colour='white') + \n", + " theme_bw() + \n", + " scale_fill_gradient(low='gray95', high='black') +\n", + " scale_y_continuous(labels = function(x) format(x, scientific = FALSE)) +\n", + " labs(x='Finished Square Feet', y='Tax-Assessed Value') +\n", + " facet_wrap('ZipCode')\n", + "graph" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Summary: Visualizing Multiple Variables\n", + "\n", + "| Operation | Python | R | Notes |\n", + "|---|---|---|---|\n", + "| Plot faceting | `sns.FacetGrid(..., col=..., col_wrap=...)` | `facet_wrap('ZipCode')` | Both libraries support small multiples. |\n", + "| 2D density plot | `plt.hexbin()` in a mapped function | `stat_binhex()` | Same concept: compare density patterns across panels. |\n", + "| Label customization | `set_axis_labels()`, `set_titles()` | `labs()` | R and Python differ in where configuration lives, not in capabilities. |\n", + "\n", + "Python offers high flexibility through panel-mapped functions, while R simplifies faceting with a single declaration. Both scale well for comparative subset analysis.\n" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.12.7" + } + }, + "nbformat": 4, + "nbformat_minor": 4 +} diff --git a/python_R/notebooks/Chapter 2 - Data and sampling distributions.ipynb b/python_R/notebooks/Chapter 2 - Data and sampling distributions.ipynb new file mode 100644 index 0000000..100765e --- /dev/null +++ b/python_R/notebooks/Chapter 2 - Data and sampling distributions.ipynb @@ -0,0 +1,1348 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Practical Statistics for Data Scientists (Python + R)\n", + "# Chapter 2. Data and Sampling Distributions\n", + "> (c) 2019 Peter C. Bruce, Andrew Bruce, Peter Gedeck" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Loading the rpy2 extension in a notebook with the Python kernel" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "import sys\n", + "import io\n", + "\n", + "stderr_original = sys.stderr\n", + "sys.stderr = io.StringIO()\n", + "\n", + "# Loading the extension without noise\n", + "%load_ext rpy2.ipython\n", + "\n", + "sys.stderr = stderr_original # Restore silently" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "%%R\n", + "suppressWarnings(\n", + " invisible(\n", + " try(Sys.setlocale(\"LC_ALL\", \"English\"), silent = TRUE)\n", + " )\n", + ")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Import packages" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Import required Python packages" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [], + "source": [ + "%matplotlib inline\n", + "\n", + "from pathlib import Path\n", + "import pandas as pd\n", + "import numpy as np\n", + "from scipy import stats\n", + "from sklearn.utils import resample\n", + "\n", + "import seaborn as sns\n", + "import matplotlib.pylab as plt" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [], + "source": [ + "try:\n", + " import common\n", + " DATA = common.dataDirectory()\n", + "except ImportError:\n", + " DATA = Path().resolve() / 'data'" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Import required R packages" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [], + "source": [ + "%%R\n", + "Sys.setlocale(\"LC_ALL\", \"English\")\n", + "# Install missing packages if needed\n", + "packages <- c(\"boot\", \"ggplot2\")\n", + "installed <- rownames(installed.packages())\n", + "to_install <- packages[!packages %in% installed]\n", + "if (length(to_install) > 0) {\n", + " install.packages(to_install, repos = 'https://cloud.r-project.org/')\n", + "}\n", + "\n", + "# Load them all\n", + "library(boot)\n", + "library(ggplot2)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Defining data paths\n", + "If you don't keep your data in the same directory as the code, adapt the path names." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Data Assignment - Python" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [], + "source": [ + "LOANS_INCOME_CSV = DATA / 'loans_income.csv'\n", + "SP500_DATA_CSV = DATA / 'sp500_data.csv.gz'" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Data Assignment - R" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [], + "source": [ + "%%R\n", + "PSDS_PATH <- file.path(dirname(dirname(getwd())))\n", + "\n", + "loans_income <- read.csv(file.path(PSDS_PATH, 'data', 'loans_income.csv'))\n", + "loans_income <- loans_income[, 1] # convert data frame to vector\n", + "sp500_px <- read.csv(file.path(PSDS_PATH, 'data', 'sp500_data.csv.gz'), row.names=1)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Summary: Defining data paths\n", + "\n", + "| Operation | Python | R | Notes |\n", + "|---|---|---|---|\n", + "| Base path setup | `Path(...)` / explicit strings | direct path strings in `read.csv()` | Both point to the same chapter datasets. |\n", + "| Dataset loading | `pd.read_csv(...)` | `read.csv(...)` | Equivalent import step with language-specific defaults. |\n", + "| Basic preprocessing | pandas column transforms | base R column transforms | Both align units before analysis. |\n", + "\n", + "Python makes path handling and transformations explicit through objects, while R keeps data import and quick preprocessing concise." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Python - Figure 2.1" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "np.random.seed(seed=1)\n", + "x = np.linspace(-3, 3, 300)\n", + "xsample = stats.norm.rvs(size=1000)\n", + "\n", + "fig, axes = plt.subplots(ncols=2, figsize=(5, 1.5))\n", + "\n", + "ax = axes[0]\n", + "ax.fill(x, stats.norm.pdf(x))\n", + "ax.set_axis_off()\n", + "ax.set_xlim(-3, 3)\n", + "\n", + "ax = axes[1]\n", + "ax.hist(xsample, bins=30)\n", + "ax.set_axis_off()\n", + "ax.set_xlim(-3, 3)\n", + "# plt.subplots_adjust(left=0, bottom=0, right=1, top=1, wspace=0, hspace=0)\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### R - Figure 2.1\n", + "R uses base plotting functions (`plot`, `polygon`, `hist`) to contrast a theoretical normal density with a random sample histogram." + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "%%R\n", + "x <- seq(from=-3, to=3, length=300)\n", + "gauss <- dnorm(x)\n", + "\n", + "par(mar=c(3, 3, 0, 0)+.1)\n", + "plot(x, gauss, type='l', col='blue', xlab='', ylab='', axes=FALSE)\n", + "polygon(x, gauss, col='blue')\n", + "\n", + "norm_samp <- rnorm(100)\n", + "par(mar=c(3, 3, 0, 0)+.1)\n", + "hist(norm_samp, axes=FALSE, col='red', main='')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Summary: Figure 2.1\n", + "\n", + "| Operation | Python | R | Notes |\n", + "|---|---|---|---|\n", + "| Generate normal values | `stats.norm.rvs()` | `rnorm()` | Both rely on pseudo-random sampling from a normal distribution. |\n", + "| Theoretical density curve | `stats.norm.pdf()` + `ax.fill()` | `dnorm()` + `plot()` + `polygon()` | Python composes layers explicitly; R uses compact base plotting calls. |\n", + "| Sample histogram | `ax.hist()` | `hist()` | Equivalent histogram concepts with different plotting APIs. |\n", + "\n", + "Python emphasizes object-level control with matplotlib axes, while R base graphics stays concise for quick statistical sketches." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Sampling Distribution of a Statistic" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Python" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " income type\n", + "40292 63000.0 Data\n", + "38959 92000.0 Data\n", + "17361 134000.0 Data\n", + "33996 52000.0 Data\n", + "26491 43000.0 Data\n" + ] + } + ], + "source": [ + "loans_income = pd.read_csv(LOANS_INCOME_CSV).squeeze('columns')\n", + "\n", + "sample_data = pd.DataFrame({\n", + " 'income': loans_income.sample(1000),\n", + " 'type': 'Data',\n", + "})\n", + "\n", + "sample_mean_05 = pd.DataFrame({\n", + " 'income': [loans_income.sample(5).mean() for _ in range(1000)],\n", + " 'type': 'Mean of 5',\n", + "})\n", + "\n", + "sample_mean_20 = pd.DataFrame({\n", + " 'income': [loans_income.sample(20).mean() for _ in range(1000)],\n", + " 'type': 'Mean of 20',\n", + "})\n", + "\n", + "results = pd.concat([sample_data, sample_mean_05, sample_mean_20])\n", + "print(results.head())" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "g = sns.FacetGrid(results, col='type', col_wrap=1, \n", + " height=2, aspect=2)\n", + "g.map(plt.hist, 'income', range=[0, 200000], bins=40)\n", + "g.set_axis_labels('Income', 'Count')\n", + "g.set_titles('{col_name}')\n", + "\n", + "plt.tight_layout()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### R\n", + "R replicates the same simulation logic using `sample`, `tapply`, and `ggplot2` faceting to compare the raw distribution and sampling distributions of means." + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [], + "source": [ + "%%R\n", + "# take a simple random sample\n", + "samp_data <- data.frame(income=sample(loans_income, 1000), \n", + " type='data_dist')\n", + "\n", + "# take a sample of means of 5 values\n", + "samp_mean_05 <- data.frame(\n", + " income = tapply(sample(loans_income, 1000*5), \n", + " rep(1:1000, rep(5, 1000)), FUN=mean),\n", + " type = 'mean_of_5')\n", + "\n", + "# take a sample of means of 20 values\n", + "samp_mean_20 <- data.frame(\n", + " income = tapply(sample(loans_income, 1000*20), \n", + " rep(1:1000, rep(20, 1000)), FUN=mean),\n", + " type = 'mean_of_20')\n", + "\n", + "# bind the data.frames and convert type to a factor\n", + "income <- rbind(samp_data, samp_mean_05, samp_mean_20)\n", + "income$type <- factor(income$type, \n", + " levels=c('data_dist', 'mean_of_5', 'mean_of_20'),\n", + " labels=c('Data', 'Mean of 5', 'Mean of 20'))" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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XyKgHcnK7N/8KX/trcOz9bVbhLjoiYq/dbm+q3EWT6EGw8SDYeBBsPAg2HgQbz4oIPl5/k3qERFkRwaubFRF8vP76d182Phv85DeNT55krxqNL7Lj3/6z8fuHg5+8awx/x2hWR/CVJ++/fvL+q0fZq8+Orwx/cnw5/3/99eD0/cOt1BPGyuoIXn/z4ZtHo2vxu8GC/eHW4Of5/z83GsMFbTQIXv/Z7vk5WznBw1P0u09fj07Rp4JfX3704SGnaN0ZCy42WbeyseA3bLKI3iDYeBBsPAg2HgQbD4KNB8HG83/6CfDoVF+jJAAAAABJRU5ErkJggg==", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "%%R\n", + "ggplot(income, aes(x=income)) +\n", + " geom_histogram(bins=40) +\n", + " facet_grid(type ~ .)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Summary: Sampling Distribution of a Statistic\n", + "\n", + "| Operation | Python | R | Notes |\n", + "|---|---|---|---|\n", + "| Random sampling from data | `Series.sample()` | `sample()` | Same statistical intent: repeated random draws from the observed data. |\n", + "| Build sampling means | list comprehension + `.mean()` | `tapply(..., FUN=mean)` | Python is iteration-centric; R uses grouped vectorized aggregation. |\n", + "| Compare distributions | `sns.FacetGrid()` + `plt.hist` | `ggplot2::facet_grid()` + `geom_histogram()` | Both produce aligned small multiples for comparison. |\n", + "\n", + "Python tends to express simulation as explicit data-frame assembly, while R often favors vectorized transformations with concise statistical idioms." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# The Bootstrap" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Python" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Bootstrap Statistics:\n", + "original: 62000.0\n", + "bias: -82.09799999999814\n", + "std. error: 228.73933106830927\n" + ] + } + ], + "source": [ + "results = []\n", + "for nrepeat in range(1000):\n", + " sample = resample(loans_income)\n", + " results.append(sample.median())\n", + "results = pd.Series(results)\n", + "print('Bootstrap Statistics:')\n", + "print(f'original: {loans_income.median()}')\n", + "print(f'bias: {results.mean() - loans_income.median()}')\n", + "print(f'std. error: {results.std()}')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### R\n", + "As the calculation uses random samples, results will vary between runs." + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "ORDINARY NONPARAMETRIC BOOTSTRAP\n", + "\n", + "\n", + "Call:\n", + "boot(data = loans_income, statistic = stat_fun, R = 1000)\n", + "\n", + "\n", + "Bootstrap Statistics :\n", + " original bias std. error\n", + "t1* 62000 -73.0925 215.6915\n" + ] + } + ], + "source": [ + "%%R\n", + "stat_fun <- function(x, idx) median(x[idx])\n", + "boot_obj <- boot(loans_income, R=1000, statistic=stat_fun)\n", + "\n", + "boot_obj" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Summary: The Bootstrap\n", + "\n", + "| Operation | Python | R | Notes |\n", + "|---|---|---|---|\n", + "| Resampling engine | `sklearn.utils.resample()` | `boot::boot()` | Python performs manual loop orchestration; R wraps the full bootstrap workflow. |\n", + "| Target statistic | `sample.median()` | custom `stat_fun` + `median()` | Both compute median over bootstrap resamples. |\n", + "| Reported outputs | manual `bias` and `std. error` calculation | `boot` object summary | R provides standardized output; Python offers explicit control. |\n", + "\n", + "Python is transparent and flexible because each step is explicit, while R is more compact through a specialized bootstrap interface." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Confidence Intervals" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Python" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "68760.51844\n", + "55734.1\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "print(loans_income.mean())\n", + "np.random.seed(seed=3) \n", + "# create a sample of 20 loan income data\n", + "sample20 = resample(loans_income, n_samples=20, replace=False)\n", + "print(sample20.mean())\n", + "results = []\n", + "for nrepeat in range(500):\n", + " sample = resample(sample20)\n", + " results.append(sample.mean())\n", + "results = pd.Series(results)\n", + "\n", + "confidence_interval = list(results.quantile([0.05, 0.95]))\n", + "ax = results.plot.hist(bins=30, figsize=(4, 3))\n", + "ax.plot(confidence_interval, [55, 55], color='black')\n", + "for x in confidence_interval:\n", + " ax.plot([x, x], [0, 65], color='black')\n", + " ax.text(x, 70, f'{x:.0f}', \n", + " horizontalalignment='center', verticalalignment='center')\n", + "ax.text(sum(confidence_interval) / 2, 60, '90% interval',\n", + " horizontalalignment='center', verticalalignment='center')\n", + "\n", + "meanIncome = results.mean()\n", + "ax.plot([meanIncome, meanIncome], [0, 50], color='black', linestyle='--')\n", + "ax.text(meanIncome, 10, f'Mean: {meanIncome:.0f}',\n", + " bbox=dict(facecolor='white', edgecolor='white', alpha=0.5),\n", + " horizontalalignment='center', verticalalignment='center')\n", + "ax.set_ylim(0, 80)\n", + "ax.set_ylabel('Counts')\n", + "\n", + "plt.tight_layout()\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Text(0, 0.5, 'Counts')" + ] + }, + "execution_count": 17, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "np.random.seed(seed=3)\n", + "# create a sample of 20 loan income data\n", + "sample20 = resample(loans_income, n_samples=20, replace=False)\n", + "\n", + "results = []\n", + "for nrepeat in range(500):\n", + " sample = resample(sample20)\n", + " results.append(sample.mean())\n", + "results = pd.Series(results)\n", + "\n", + "confidence_interval = list(results.quantile([0.05, 0.95]))\n", + "ax = results.plot.hist(bins=30, figsize=(4, 3), color='C1')\n", + "ax.plot(confidence_interval, [55, 55], color='black', linestyle='--')\n", + "for x in confidence_interval:\n", + " ax.plot([x, x], [0, 60], color='black')\n", + "ax.text(82000, 50, \n", + " f'90% CI\\n[{confidence_interval[0]:.0f}, {confidence_interval[1]:.0f}]',\n", + " fontsize='small')\n", + "\n", + "confidence_interval = list(results.quantile([0.025, 0.975]))\n", + "ax = results.plot.hist(bins=30, figsize=(4, 3))\n", + "ax.plot(confidence_interval, [65, 65], color='black', linestyle='--')\n", + "for x in confidence_interval:\n", + " ax.plot([x, x], [0, 70], color='black')\n", + "ax.text(82000, 65, \n", + " f'95% CI\\n[{confidence_interval[0]:.0f}, {confidence_interval[1]:.0f}]',\n", + " fontsize='small')\n", + "# ax.text(sum(confidence_interval) / 2, 264, '95 % interval',\n", + "# horizontalalignment='center', verticalalignment='center')\n", + "\n", + "meanIncome = results.mean()\n", + "ax.plot([meanIncome, meanIncome], [0, 50], color='black', linestyle='--')\n", + "ax.text(meanIncome, 5, f'Mean: {meanIncome:.0f}',\n", + " bbox=dict(facecolor='white', edgecolor='white', alpha=0.5),\n", + " horizontalalignment='center', verticalalignment='center')\n", + "ax.set_ylim(0, 80)\n", + "ax.set_xlim(37000, 102000)\n", + "ax.set_xticks([40000, 50000, 60000, 70000, 80000])\n", + "ax.set_ylabel('Counts')\n", + "\n", + "# plt.tight_layout()\n", + "# plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### R\n", + "R bootstraps the sample mean and extracts a basic confidence interval with `boot.ci`, then overlays interval markers on a histogram." + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "%%R\n", + "# R version for figure 2-9 not available\n", + "set.seed(7)\n", + "sample20 <- sample(loans_income, 20)\n", + "sampleMean <- mean(sample20)\n", + "\n", + "stat_fun <- function(x, idx) mean(x[idx])\n", + "boot_obj <- boot(sample20, R=500, statistic=stat_fun)\n", + "boot_ci <- boot.ci(boot_obj, conf=0.9, type='basic')\n", + "X <- data.frame(mean=boot_obj$t)\n", + "ci90 <- boot_ci$basic[4:5]\n", + "ci <- data.frame(ci=ci90, y=c(9, 11))\n", + "ci\n", + "ggplot(X, aes(x=mean)) +\n", + " geom_histogram(bins=40, fill='#AAAAAA') +\n", + " geom_vline(xintercept=sampleMean, linetype=2) +\n", + " geom_path(aes(x=ci, y=10), data=ci, linewidth=2) +\n", + " geom_path(aes(x=ci90[1], y=y), data=ci, linewidth=2) +\n", + " geom_path(aes(x=ci90[2], y=y), data=ci, linewidth=2) +\n", + " annotate('text', x=sampleMean, y=20, label='Sample mean', size=6) +\n", + " annotate('text', x=sampleMean, y=8, label='90% interval', size=6) +\n", + " theme_bw() + \n", + " labs(x='', y='Counts')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Summary: Confidence Intervals\n", + "\n", + "| Operation | Python | R | Notes |\n", + "|---|---|---|---|\n", + "| Draw base sample | `resample(..., n_samples=20, replace=False)` | `sample(loans_income, 20)` | Both start from a finite sample before bootstrap inference. |\n", + "| Bootstrap means | repeated `resample(sample20)` + `.mean()` | `boot(sample20, statistic=mean)` | Python computes explicitly; R delegates to `boot`. |\n", + "| CI extraction | `quantile([0.05, 0.95])` / `quantile([0.025, 0.975])` | `boot.ci(..., type='basic')` | Different interval constructions but same inferential goal. |\n", + "| Interval annotation | matplotlib line/text layers | `ggplot2` geoms + `annotate()` | Both annotate uncertainty directly on distribution plots. |\n", + "\n", + "Python makes interval definitions explicit via quantiles, while R encourages formal bootstrap-interval APIs that encode methodology choices." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Normal Distribution\n", + "## Standard Normal and QQ-Plots" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Python\n", + "The package _scipy_ has the function (`scipy.stats.probplot`) to create QQ-plots. The argument `dist` specifies the distribution, which is set by default to the normal distribution." + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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tQl4Ju7EYNGiQio6m21X5NIiIYrpijx4NdO6sf+1v3x7w9wfSprUrNSStCVvYepwzGCYwSMZLgsKaNWuwc+dOFJTJquKQMmVK1WQyvxERRSOBoEcPYOhQtXmy4SDsbjsH4Z5e6i4pIltLupv2yUJtph5HkmKyha3HOYOnkdJHixYtwpIlS9RYhn/++Ufdnklzj4govuQa0rw5MH06IuCBXpiC4uvGotp7HipVNGaMfakhqTtIMiOmBdtkv2S15ThXZZjA8NNPP6l0UNWqVZErV67I27Jly5x9akRkVA8eALVqAWvWIBQp0ALLMRW9LFJFw4bZlxqSgrJ0SRVRg4Npe9KkxC08u+2UGAbsPEVErky+5ktx+eRJBHl4o6Hmj72oYnGIPZcd89SQjFOQBdysjWOQoOCMcQxu3101vjjAjYikFvD7gpMo1r8O0t6/hpAsuVHm3macQIl4vTkesXQ/taV7qyte/wzTYiAielnSe2jxxwH4+U5DpMVDnEJRtHohQcHH5iCgabanhmSfrONjNIapMRARvWxQWNR0DRbfqYlMeIj9qIBK2Ic/g2wLCiNGAHnyWO6TloKkjFw9NWQvppKIyO1JSmdI1ukY/bAnkiEC/miIVvBDCFLblSoSrpIashdTSUREJpqGqx2GYdzDUWpzBrqiJ6Yi3IZMuoeVVJERU0P2YiqJiNyXLL3ZpQsKLNSDwjAMx8eYHmNQiDonZ143TRXFhcVnInJPT58CLVuqCfE0T090i/gJs9A11ofIOjzJkhkzVZSQGBiIyP3cvQs0aKBPnZ0qFSKW+GFTb194XLc+NsFUR5A0UbIkGAiiYiqJiNzL5ctApUp6UMiUCdixA8ka+xp+NHJiYmAgIvdx7BhQvry+8pqPD7B/P1ChgsVo5KTS5fRlMJVERO5B1k2QdRSCg4ESJfRlOKNEAbn4+/oat8tpYmFgICLjk8k0P/oICAsDqlQB1q4FMmaMcUqKpNDl9GUwlURExibFg1at9KAgq+Zs3qyCgq0rrlF0DAxEZEwREcAXX+ir5IiePQFZ7jdVKrtWXKPoGBiIyHikdSBLb44fr2+PHYvwSVOwOyAZFi8GPv7Y9hXXKDrWGIjIWB4/1r/2b9miFwxmzcJq7w7oUzD2ldasrbjGWoN1DAxEZBy3bwPvvw8cPgykSQOsWIHVIfVUnLB3ZRnTimsUHQMDERnDhQtA7dr6z6xZgQ0bEF66LPoUsD8oRF1xjSwxMBCR6/v9d6BePb3FUKAAwjduQcCt17BjuG3pI2vTX0jXVbKOgYGIXNvWrUDTpnpt4a23sLHXRnSrlcvugCA4/YVt2CuJiFzXokV6TUGCQvXqWPfZHtTvEr+gIDj9hW3YYiAi1yNFgwkTgAED1GZEq9bY3W4eOrRJYXc9IVs2YOJEfXYMTn9hGwYGInK9gWv9++tXcwC7S32Kltu/w20/z3iljaZP5wR59mIqiYhcRvjTUNyq2SYyKHyG71Dtj+9x+679lyqmjeKPLQYicgnrFgUjc+fGqBS6E8/hhfaYh6X4wO7nGTJElSOYNnoJDAxE5HQbZ9+ET+e6eAvH8Ajp0BhrsAM14tUNdfhwTqP9shgYiMipwk+dRfFudeCDy/gHOVAXm3AUpex6DnZDTVisMRCR04QH/ornZSvCJ/wyzuFVVECg3UFBsJ6QsBgYiMgpAgdvwPNK1ZD6yT38hrdREftxCa/Y9RyZMwPbtwOXLrHnUUJiYCCiRPd7zzkoO9YXqbVn2IQ6qIZduIPsdqWO5DZrll5o5tKcCYuBgYgSj6YhYtQYlJ7WCckRjnloh4ZYhydIZ9fTMHXkWCw+E1HikJVxeveG57RpanMMvsQQjJbv/zaPYG7TBvD1ZVdUR2NgICLHCwmB9kEbeKxZjQh4oDd+wFT0ivNhDAbOwcBARA5pHMgKabLGcvDfD1Brqi8K3QhAKFLgQyzCSjSP8zlk8PMnn7B+4AwMDESUoFavBvr00ddJyINr2Iw6KISTCEIG+MIfe1A1zufIl49BwZlYfCaiBGsljBypL50gQeENnMQBlEdxnMQN5EJlBNgUFMSkSWwpOBNbDESUIK2E3r311JGoiH34BQ2QCQ9xGkVQB5txBflteq4RIzgmwdkYGIjopYNCs2b/rbvsi7VYitZIjRAEojwa4BfcRxabu6EOHswPxNmYSiKieKeOduwAunT5Lyh0w3SsQlMVFPzREDWw3eagIAPWJk9mCskVsMVARHb1MrpzB7h8GViyRP9dp2EEhuErjFJbM9EFPTAN4TZeYqSlIEGhSRN+GK7AUIFh7969+Pbbb/H777/j5s2bWLNmDRo1auTs0yJy60AgrQJ/f+D+fevHJsML/ITu6IKf1fZwDFNBwtaBa1JTkPQRp7VwHYYKDE+ePEHJkiXRsWNHNOFXCyKHBIQxY/Rv7zEFAnOp8RR+aIWG+AXh8FSthJnoZtNrSZdU6X3Ef8qux1CBoW7duupGRI4pInftCty7Z9vxmXEP61Ef5XEQz5AKreCHdfCN9TEcyWwMhgoMROS4oCDjD2zlg7+xBbVRBGdxH5lUz6NAVLR6bPv2QI0aQJ48nOPIKNw6MISGhqqbSXBwsFPPh8gVPX8OfPyx7ceXwHE1mjk3buIK8qE2tuAMisZYP/jqq4Q7V0ocbt1dddy4cfD29o685ZOkJhFZtBTkm/x/vYtiVwW7EYDKKij8ieJqxbWYggLHJBiXWweGQYMGISgoKPJ29epVZ58SkcsNTLt717bjm2GFSh95Ixh78K6a4uI68lo9lmMSklhgkIvrNZkI5V+HDh1C3759MXPmTLialClTIkOGDBY3ItJ7H8lEd6aBaXHphSlYhpZIiedYiaYqfRSEjFaPlYb5ypXsbZSkagwffPABunbtio8++gj//PMPatasiWLFimHx4sVq+ysHJhQfP36M8+fPR25funQJR48eRebMmeHj4+Ow1yVyNzJGwez7XSw0jMMgDMQ3autH9EQfTEYEkkX2MmrdGihYUP+dBWY3odkpY8aM2pkzZ9TvkydP1ipUqKB+37Jli1awYEHNkXbt2iXfb6Ld2rVrZ9Pjg4KC1PHykygpW7JE2gqx35LjuTYPbSN3DMIYLVPGCK19e01btEj+PWraixfO/kvIVvZc/+xuMYSFhakUjdi+fTsaNmyofi9SpIgajexIVatWlUDm0NcgSgrOnYv9/rR4jBVojrrYjBdIBv/3Z6FW/w4YVZkjlJMCu2sMkjaaPn06AgICsG3bNtSpU0ftv3HjBrJksW2yLCJyHsn/D5MZK2KQDbexC9VUUHiCNOiUdR0a+XdA1aoMCkmF3YHhm2++wYwZM9S399atW6spKsS6detQtmxZR5wjESWQFSuAVq1ivr8gLmI/KqIMDuMusqA6dsJ3Rj3OY5TEeEg+yd4HhYeHq8FimTJlitx3+fJlpEmTBtmzZ4erknOW8QzSdZU9lCipiWt0cykcwSbURQ7cxiUUQPucW9Bn6mucy8hN2HP9i9c4BoklMsOptBwePXqk9qVIkUIFBiJy3e6pMamBbdiDKioo/IG3sLzvAey8xqCQVNldfP77779VXeHKlStqugnprpo+fXqVYpJtqT8QkXG6p36AxZiH9vDCC2xHdTTBaqzzzcD0URJmd4uhT58+ePvtt/HgwQOkTp06cn/jxo2xQyZuJyKXY73DoIbP8B0W40MVFJagNephIzLmy4DKlRP/HMnALQbpjRQYGKhSR+YKFCiA66aVwInIpbuneiAC36E/+mGi2p6AfhiAb6HBU62RwEVzkja7A0NERIQqPkcl02RISomIXK/obN49NQVCVeqoNfzUdn98iwnor4KBnx+nsqB4pJJq1aqFSfKV4l8eHh5qqophw4ahXr16fE+JXLjonB7B2Ih6KiiEITk+xEIVFMTSpfqkekR2txgmTJiA2rVr44033kBISIiaO+ncuXPImjUrlsr/WUTkMnbv/q/onBM3VVAohaN4hHSqyLwdNSPXTWje3LnnSgYODHnz5sWxY8fg5+eH48ePq9ZCp06d0KZNG4tiNBE5f+3msWP17cL4S02ZXRCXcQvZVZH5CEpHHl+4sPPOldxkBbfkyZPjww8/TPizIaIEmfKiUycZ0KRvl8Wv2ID3kRX3cA6vog424yIKWTwmVy6+8fQSgWHBggWx3t+2bVt7n5KIEsjnnwPffvvfdj1swHK0QFo8xW94G+9jA+7AcnYCmS6b3VPppQKDjGOIOtvq06dPI0c+MzAQJX7aSAawSe+jKVP+298O8/AzOiM5wrEZtdEMK/EE6aI9vk0bdk+llwwMMrAtKik+d+/eHQMGDLD36YjoJdNGPXpEXbNZwyCMw1gMVlvz0Rad8TNewMvqc/j68iMgB6z5XLhwYXz99dfRWhNE5Ni0kfQkMg8KngjHFHwSGRS+xhdoj3kxBgVZhpNpJEqQ4nNMBWlZk4GIHJsykgkGtmwBFi60vD8lQrAIH6IZViECHuiLSZiC3jE+n4cHOMqZEiYwyLoLUWdalZXbfvzxR1SsWNHepyOieKeM/pMRD7AWjVAFexGKFPgIC7ECLWJ8PllTa+ZMjnKmBAoMjRo1stiWkc/ZsmXDe++9pwa/EVHCthKkOLxsWczH5ME1bEYdFMdJBCEDGmEtdqOa1WPTpQOkFDh4MAvOlMBzJRFR4rQSOnYE/l3yxKqiOKWCgg+u4gZyqTEKf+JNq8e2bAksXsyAQIlUfCYixxSWYwsKFbAf+1BJBYUzeB3lccBqUPD01CfHkxtnTaUEazH069cPtvr+++9tPpaIrK/LbD5IzZqG8IcfWiE1QnAA76A+1uM+slg9VgIC50GiBA8Mf/zxh01PJvUGIoq/58+Bzp1jP6YrZmAaeiAZIrAODdAKfniGNFa7ospEyE2a8BMhBwSGXbt22fm0RGRPgVlmQZVVcf39ZTaBmI7UMBzDMQwj1dZMdEEPTEO42T9j+W7Wq5ceDGR8AlNH5NRxDERkP5nGomtX4N692I9LhheqldAVs9T2CHylgoSsxWZOei8xbUROCQyHDx/G8uXLceXKFTyXtq+Z1fJ/OhHFSf6pNG0a93Gp8VTVExriF4TDU7USZqKbxTEcl0BO7ZUk6zBUqFABp0+fxpo1a9QkeidPnsTOnTvh7e2doCdH5M7po94xD0qOlBn3sB01VFB4hlRoilUqKMjSJ5IuGjIE2L4duHWLtQRyYoth7NixmDhxInr27KnWeJ48eTIKFiyIbt26IRcndSeyyejR+tQWsfHB32qMQlGcwQNkRAP8gv2oxPEI5HothgsXLuD9999Xv8tU20+ePFG9kT799FPMlDH2RBRrS6FVK2C4lAdiUQLHcQDlVVC4iryohH0qKAwbxvEI5IKBIVOmTHj076ibPHny4MSJE+r3hw8fqnUZiCjmmkL27LFPbyGqYDcCUBm5cRN/orgauHYKxZAnDzB0KN9dcsFU0rvvvott27ahRIkSaN68uZpqW+oLsq969eqOOUuiJFJoboYVaobUlHiOvagMX/jjITKp+374gd1PKXF4aDI9qg2kZVC8eHHcv38fISEhyJ07t5o3afz48QgMDFRrMgwZMkS1KFxVcHCwKpAHBQUhQ4YMzj4dSkLpowIFgGvXYj+uF6ZgMvrAExpWoQnaYDFCkYo9jijRr382BwZPT0+UKVMGnTt3RqtWrVTh2WgYGMgZZPBaNeuTnf5Lw1h8iUH4Wm1NRQ/09/oB9X2T4eOPgapV2VKgxL3+2Vxj2LNnD4oVK4bPPvtM9T5q164dAmTVECKK1c2bMd+XHGGYiw6RQWEwRuPL9D8i6HEyNWeSZGc5epkSm82BoXLlypgzZ45alGfKlCm4fPkyqlSpgtdeew3ffPMN/vnnH8eeKZFB/fWX9f1p8Rjr0BDtMR8vkAwdMVstyTl7jgdSpEjssySKRyrJmvPnz2Pu3LlYuHChCgx16tSJtsKbK2EqiRJ7GU4pOk+ZEv3+bLiNDXgfZXAYT5EazbECG/G+WkRn/Hh+TmSQGkNMZBzD4sWLMWjQINVlNVz+RbgoBgZKDBIM+vSJudhcEBexBbVRGOdxF1nwPjbgRJpymDeP8xyRa1z/4j2J3t69e1VqadWqVaow3aJFC3Tq1Cm+T0dkePKdaMwYqEFoMSmFI9iIesiJW7iEAmrFtb/wOhbNZFAg12FXYLhx4wbmzZunbpJGkjmTfvjhBxUU0qZN67izJDLAMpzduwN378Z8TA1sw2o0QXo8xlGURF1swj/Ipe6TwWtEhgsMdevWxfbt25E1a1a0bdsWHTt2xOuvv+7YsyMywDoKMhr5wIHYj22NJZiH9kiBMOzAe2iC1QiGd+SCOrJ2ApHheiV5eXlh5cqVuHbtmuqF5KygMHXqVBQoUACpUqVCuXLlcOjQIaecByXdYLBjh572SZcOqFEj7qDQDxOwBG1UUPBDS9TDxsigIGSVNXZJJZeiGYifn5+WIkUKbc6cOdrJkye1Ll26aBkzZtRu3bpl0+ODgoKk0K5+Etlr1SpNy5JFOmvYdvNAuPYd+kXu+B591T7T/Z6emrZiBT8HShz2XP/snkTPmb7//nt06dIFHTp0wBtvvIHp06cjTZo0qghOlBhzHcW10pqJF55jIT7CZ/hebQ/AePTD99DMGulLlgDNmjnqjImSwNKeslLc77//rrrFmkhvqBo1auBADG350NBQdTPvrkVk//97+vKbtkqPYFVkroEdCENydMBcLMaHFsfIeIWWLflZkGsyTIvh7t27aoxEjhw5LPbLdkyjrseNG6f67Zpu+aTKR2RHPWHkSEAWJrS1pZAD/2APqqig8Bhp1RgF86CQNSuwfDkHsZFrM0xgiA9pXchgDtPt6tWrzj4lMlDqSL6DyJiEkBDbHlMYfyEQFVAKR3EL2VEFe7ANtSLvHzECkO8wUrgmMnwqyZ5pLho2bAhHkG6yyZIlwy1Z3NaMbOfMmdPqY1KmTKluRI5YO8FcGRxSU1xkw12cRyHUxhZcRCF1nzRUpeeRrNFM5DaBoVGjRhbbspSn+Uwasm3iqCkxZBnR0qVLY8eOHZHnI+tByHavXr0c8pqU9Mj/vvbUE0RdbMQKNEdaPMVhlFbpo8dpcqB3Z6BxY32MArujktulkuQCbLpt3boVb731FjZt2qTmRpLbxo0b8b///Q+bN2926Mn269cPs2bNwvz583H69Gl0795dzdUkvZSIEoJMaWFrPUG0wzw1Q6oEhc2ojfppd6PniByQfg6TJ3MtBTIoe/vCFitWTAsICIi2f+/evVqRIkU0R5syZYrm4+OjxjOULVtWO3jwoM2P5TgGis2LF5qWObOt4xQitIEYG7ljt89H2o7Nz9VzELkie65/dndXvXDhAjJmzBhtv/T6kTUaHE3SRkwdkSPINNn378d9nCfCMQl98Ql+VNvh/b9AlfHjJKfKD4aSZq8kWd5TUjrmRWD5fcCAAShbtmxCnx9Rok1z8cUXcR+bEiHwQysVFCLggWMdJyPZt18zKJBbsbvFIKOMGzduDB8fn8hxAdINtHDhwli7dq0jzpHIoT2QpNhsS13BGw+xFo1QFXsQihQ42m8hyk1owU+H3I7dgeHVV1/F8ePHsW3bNpw5c0btK1q0qBqBbN47iciduqXmxnVsRh2UwAmEpcmA5P5rUa5GNUefIpFTvNQKbiEhIWqcgFECAldwI/P0Uf78wPXrcb8nRXBarbjmg6t4likXUu/aBJQsyTeTDMWe65/dNQbpsjpq1CjkyZMH6dKlw6VLl9T+oUOHYvbs2fE/a6JELjTbEhTewQHsQyUVFG5leh2p/zjAoEBuz+7AMHr0aLWC2/jx49WgM5PixYvj559/TujzI3KImzfjPqYB1mEn3kMW3McBvIPzc/fpzQwiN2d3YFiwYAFmzpyJNm3aqCkqTEqWLBlZcyBydbn0FTVj1BmzsAaNkRoh+AX10S7PDrxTP2tinR6RsQLD9evXVQHaWoopLCwsoc6LyKFkmgrr6yxr+AojMAtdkQwR+Bmd0ARr8PUPaTitBSUZdgcGWSAnQBK0Uciyn6VKlUqo8yJyuM6dLbeT4QVmoBtGYLjaHomhGJh5FpatSs4J8ChJsbu76ldffYV27dqploO0ElavXo2zZ8+qFNP69esdc5ZEDh67kBpPsRSt4Yt1auBav5RTkfnL7rg1mBPgUdITr+6q0mIYOXIkjh07hsePH6sJ9CRg1Kr139zzrojdVWnlyujrIWTCffyCBqiIQIQgJfxbLEGzJU2YOiK3Ys/1z64Ww4sXLzB27Fh07NhRDXAjMpIVK4BWrSz35cMVNXDtDZzGA2REQ6zD5cDK4FLMlJTZVWNInjy56qYqAYLIaC2FFi2kk8R/+4rjTxxAeRUUriIvKiMA+1AZ167p4xyIkiq7i8/Vq1fHnj17HHM2RA6YHK9ZMz0omHsXexCAysiDGziJN1ABgTiJ4naNcyByV3YXn+vWrYuBAwfizz//VCuqpU2bNlGW9iRKqMnxmmIlFqMNUuI59qIyfOGPh8hk1zgHIndmd/HZ0zPmRobMmeSopT0TAovPSbfAbNILUzAZfeAJDavRGG2wGCFIbXFM3ryALC3C5TjJnTh8rqSYbq4cFMj9yf9+w4fHFBQ0jMGXmILeKihMQ3c0x4poQUHIkpwMCpSU2Z1Kijq7aqpUqRLubIgckDpKjjDMQhe0x3y1PRijMRZfShvX4rgsWYCZM8HBbJTk2d1ikFaB+eyqFy9eVPs5uyo5M3Uk6ypYCwpp8AT+8FVB4QWSoRN+xlgMjhYUhg2TlQgZFIjiFRjGjBnD2VXJpccmmGTFHexCNdTDJjxFajTCWsxBJ4tjJGUkzyEpKKaPiHScXZUMnT6SbqjWSlsFcRH7URFl8RvuITPew05sQP1oxy1dqndnJaL/cHZVMiQJBn36WL/vLfyBQFTAaziHy8iPitiPX/FOtHrCqlUx914iSso4uyoZkoxMlhHKUb2HHdiDKsiJWziGN9XAtbMoEnl/unTAiBGsJxDFhrOrkiH5+0ff1wpLMR/tkAJh2IlqaIw1CIa3RYF56FDWEogSvMXg6+uLX375Bdu3b1ejnmVW1dOnT6t9NWvWtPfpiOJVW5g0yXJfX0zEUnyggsIytEBdbIoMCqa0EQvMRA6cdtuoOPLZPWoLBQr8l0byQATG43P0xwS1PQl90A/fQ4MnPDz0VsKQIWwlEAU7atptIleqLXjhOeaiA9pgidr+HN/gWwyIHKOwbBmLy0TxYVNgyJQpk5oHyRb379+P14kQWWsdSCC4fh24c0dPCc2erd+XDo+wGk1QE9sRhuToiDlYhI8iH9u3L4MCkUMDwySzhO69e/cwevRo1K5dG+XLl1f7Dhw4gC1btqjRz0QJEQhkumwpMFv7npEdt7AR9VAaR/AYadEEq7ENlqsH+vrycyBKtBpD06ZNUa1aNfTq1cti/48//qgK0mvXroWrYo3BtQvKMi7BWhdUc6/inFpxrRAu4jayoR424ne8HXm/NGxldtRLl1hXIEq02VWlZVCnTp1o+2WfBAai+AQFGX0cV1B4G7+pgWsSFM6jkBqjYB4UhHzNkQYup7cgij+7A0OWLFngb6UTueyT+4jiM4I5rnZrbWzGblRFNtzFYZRWo5kv4NVox0ltoUkTfgZEL8PuXkkjRoxA586dsXv3bpQrV07t+/XXX7F582bMmjXrpU6Gkp6YRjCba4v5+Bmd4YUX2IzaaIaVeIJ0Vo9lbYHICS2G9u3bY//+/SpHtXr1anWT3/ft26fuI7JH7Gsra/gCX2M+2qugsAAfoSHWxRgU8uUDKlfm+0+UqC2GsLAwdOvWTfU+Wrx48Uu/ONG5c9bfA0+EYxL64hP8qLa/xhcYhHHR1lEwLzqztkDkhBaDl5cXVsncAkQJVHSWkclRpUQI/NBKBYUIeKAPJmEQvo4xKEhpSxbrYW2ByEmppEaNGrl0l1Qy9rTZ3niouqM2x0qEIgVaYyl+gPX5tTNn5kypRC5RfC5cuDBGjhyp6gylS5dWE+mZ6927d0KeH7mp3bujF51z4zo2oS7exJ8IQga14tpuVEOmTHpR+b339OU7s2UD8uTR6wnslkrkAgPcChYsGPOTeXhErgHtijjAzXVSSF26WI5qLoLTqqWQH1dwA7nU7KjHUVJNgMdZUYlcfBK9SzKk1AlkrekNGzbg6NGjSJEiBR4+fOiU86CXI7WAqKumlUcg1qM+MuMBzuI11MYW/I0C6r7q1dkqIHL5GoPJ3bt31S2xPH/+HM2bN0f37t0T7TUpYa1YAbRqZbmvAdZhB6qroHAQ5dTANQkK0suI3U+JDBAY5Ft6z549kTVrVuTIkUPd5HeZN8nR3+BlYN2nn36KEiVKOPR1yHHpoxYt9KKzSSf8jDVojNQIwQbUQ3XswD1kjbyf3U+JnMPmVJJMpy2zqV6/fh1t2rRB0aJF1f5Tp05h3rx52LFjBwIDA9UU3UTmnj8HPv7YfI+GoRiFkdD7qs5GR3TDDIT/+7+jdD+dOZPdT4lcPjBITyTJ7V+4cEG1FKLeV6tWLfVz4sSJcBWhoaHqZl58ocRvKXTrJqnH/wauTUVPfIwZans0BqsgYT5GQRbYkdoCEbl4KknGLnz33XfRgoLImTMnxo8fjzVr1tj14gMHDlQ9mWK7nTlzBvE1btw4VYU33fJJ0poShaSMRo6Uadr/Cwqp8Ayr0FQFBRm41h3TMBSjLYKCfERVq/JDIjJEd9WUKVOq1kJemezeimvXruHVV19FSEiIzS9+584dtfBPbF555RXVUjGRtFXfvn1tqmlYazFIcLCluxa9XCtBhrPIgjsmmXAfv6ABKiIQIUiJD7AEaxB9GlQZWM8RzEQG6a4qRebLly/HGBikG2tmGYpqh2zZsqmbo0gwkxsl/toK5l838uGKGqPwBk7jATKqifD2wXK2Oxmo5ufHoEBkqFSSLOU5ePBg1W00KvlWLhPrWVvAJ6FcuXJFjWGQn+Hh4ep3uT1+/Nhhr0kvv7ZCMZxQi+tIULiGPKiMgGhBQSxdqgcUIjJQKklSRW+//bb6Bi5dVosUKQJ56OnTpzFt2jQVHA4fPuywPL5M6T1//vxo+3ft2oWqNialOfLZ8dNcVKv233Zl7MU6NERGBOEk3kAdbMY1WP7/IQ3G6dPZUiByNHuuf3ZNiSHpoh49emDr1q0qKKgn8PBAzZo11ZrPUmNwZQwMjiXf+j/4QP+9CVZhMdogFUIRgErwhT8eIHO0oCDzJZmVkIjIaFNiyDxJmzZtwoMHD3Du34n0JRjYW1sg95Qrl/6zB6ZiCj6BJzSsRmO0wWKEILXFsTKyWVoKDApErsfuuZKEDGIrW7Zswp8NGVrlShp+SD8Enzwaq7anoTs+wRREIJnFcdJ/YfJkpo+I3G6uJCILYWFI1qVjZFCQQWs9MTVaUBgxArh8mUGByO1aDEQWnjzRp0zdtAnw9MSRbjMw75fOgNl6C9InQeY+4hgFItfHwEAv584doH594NAhIHVqNZ/F/xo0wOUpQEAAcPOmXnvgojpExsHAQPEna3PUrg1IR4TMmRHuvx4BL8rj5lIGAyIjY2Cg+PnjD6BuXeDWLcDHB1s/24JOrYtYLNfJIjORMbH4TPbbvh2oUkUPCm++iY1DD6BOX8ugIGSuJBnNLNNkEJFxMDCQ/aPY6tUDHj1S06CG79qLbiNyW0yDYWLa17ev5QI9ROTaGBjIdrLWhgxtDgvTeyFt3oyA497RWgpRg8PVq3ohmoiMgYGB4hYRAQwYAPTrp2/LnNoyFWrKlBZTa8dGeicRkTGw+Eyxe/4cER06wnPJYrV5oevXyDf+cwTu9YC/PzB3rn3TZRCR62NgoJg9eoRblZogx/HtCENydMJsLJzZFslm214zkDmRpHeSjGMgImNgYCDrbt3Cgwr1kOPiETxGWjTDSmyBvt6GPUFByIhnWYiHiIyBNQaKJvzMOTwtVQGZLh7BbWRDVeyODAr2yJoVWLmS02AQGQ0DA1nYNf43PChWEWluXsQFvIIKCMTveDvenZg4NxKR8TAwUKT9QzejzBfVkDXiDn7H/1RQuID4L76UJw/fXCIjYmAgVTM4+cUClB3dAOnwBFtQS6WPbiNHvN4dqS3IbKosOBMZEwNDErd6lYZvMn+DYuPbwQsvsBAfogF+wWOkj9fzseBMZHwMDEnY6pURuNasL74MHqi2x2MA2mE+whD/RZilayoLzkTGxu6qSVT4kxB4tW2L3lihtvtiIiajr02Pla6n5l1Ws2UD2rQBfH257gKRO2BgSGLkgh64KQh5ejVCg2e78RxeaIsFWIZWcT42c2Zg+XL94h8YyEV4iNwVA0MSItNfj+t1HbNv1sUr+BPBSI9GWItdeM+musGsWUD16vrvVasmwgkTkVMwMCShoDCk6WlsQh3kxxXcRE7UxSYcw1s21Q24XjNR0sHAkETSR/M/PoAA1EcW3MdZvIY62IzLKGhT6khaB5zSgijpYK+kJODU1+uw9E51FRQOohwqYn+sQUFSR3IzpY4YFIiSFgYGN28pnO0/C8WGNkYaPMMG1EN17MA9ZI31cexySpS0MZXkxgPXLnYchf7Bw9T2HHRAN8zAC3jF+JghQ/QWgvQ6YiuBKOliYHBDq1eE406LnuiPGWp7DL7EEIyWJFGsayYMH86AQEQMDG4n/PEzpGn7AbphLSLggV74ET+hR4zHcwoLIoqKNQZ3cv8+HpeviTohaxGClGiOFbEGBcF6AhFFxVSSu7h6FahTB96nTuEBMqIh1mEfYl5Ps1cvoGlT1hOIKDoGBndw4oQKCrh+HaFZ86Dy3c04ieKxPkSCAkcvE5E1TCUZXPiuvQgrX1kFhSf5i8Lj4AEE5S0eWTuIimslEFFcGBgM7OCAVQh7rxa8Hj/EPlREvr/3oVDVfGjdWr8/anBgoZmIbMHAYFBHu05D2e+aIxVCsQaNUBPb8ACZpeGA774D+vePvrQmC81EZAvWGIxG0xAxeCjemjVGbU5HN/TEVEQgmelu1TLw8wMuXOD02ERkPwYGI3nxAujWDZ5z5qjNoRiJ0RgSbeCaBAfppCRrJrDATET2YmAwiidPgJYtgQ0bEOHhia7aDMxG51gfcvNmop0dEbkR1hiM4O5dfRKjDRuAVKlwctSaOIOCyJUrUc6OiNyMIQLD5cuX0alTJxQsWBCpU6dGoUKFMGzYMDx//hxu7/JloGJF4Ndf9QUSduzAGwMbqkIyu6QSUZJNJZ05cwYRERGYMWMGXn31VZw4cQJdunTBkydP8J10wXFXR49Cq1sXHv/8gydZfXBywhaULldEzXw6eTLQrJkeHKSmYMIuqUT0sjw0zfyyYhzffvstfvrpJ1y8eNHmxwQHB8Pb2xtBQUHIkCEDXNrOnQir3whezx7hOEqoZThvII9qKUhQaNJEX66zTx/g2rX/HpYvH5fhJKKXu/4ZosVgjfxxmSW14o78/BDxUVt4vQjDblRBI6xFEDKqu2ScgrQUVq7Ug4OvLxAQoBeapabAtRSI6GUZMjCcP38eU6ZMiTONFBoaqm7mEdPlTZoEfPqpKv6sQDN8hIUIRarIu03jFPr21YOCpJXYJZWI3Kb4PHDgQHh4eMR6k/qCuevXr6NOnTpo3ry5qjPEZty4carpZLrlkzyLq4qIAAYMUEFB/IBP0Ap+FkEh6jgFaSkQEblVjeHOnTu4d+9erMe88sorSJEihfr9xo0bqFq1Kt555x3MmzcPnp6edrcYJDi4XI1Beld17AgsXqw2j7b6GqX8Po9xxTWTJUsQOS8SEZFb1BiyZcumbraQlkK1atVQunRpzJ07N86gIFKmTKluLu3RI30O7G3b9LzQ7Nl4mL8d4Bf3QzlOgYiSbI1BgoK0FPLnz6/qCtLSMMmZMycM69YtoF494MgRIG1avaJcpw4qh+sT3kmh2Vp7zrRGsxSaiYiSZGDYtm2bKjjLLa9cEc0YtLctcO6cvriOdLeVVpOMai5TRt3FcQpE5EyGGPncvn17FQCs3Qzpt9/00cwSFAoWBPbvjwwKJtIVVRoQnDqbiBKbIVoMbmXzZr2m8PQpUKoUsHGj5MOsHspxCkTkDAwMiWnBAqBTJ3367Bo19KHL6dPH+hCOUyCixGaIVJLhScrrm2+Adu30oNCmjV5TiCMoEBE5AwNDYgxck2HKAwfq27LmprQc/h2bQUTkaphKciQZXNe2LbB8ub49YQLQr59DX5KI6GUxMDhKUBDQqBGwezfg5QXMn89hykRkCAwMjnDjBlC3LnD8uF5HWLNGX4GNiMgAGBgSmkz6V7s2cOUKkCMHsGmT3i2ViMggWHxOSAcO6APXJCgULqxvMygQkcEwMCSU9ev1dNH9+/ooZhnNLKOaiYgMhoEhIcyerReanz3TJ8XbtUuf/4iIyIAYGF524NqoUUDnzkB4uEzqBKxdq8+USkRkUAwM8SWBoEcP4Kuv9O3Bg4E5c/SuqUREBsZeSfEhKaMPPtBbB7I4wpQpQM+eCf7hEBE5AwODvaS43LChXlyW1eEWLQKaNXPIh0NE5AwMDPa4elVfXOfUKcDbG1i3Dnj3XYd9OEREzsDAYKuTJ/WBa7LepqyeIwPXSpRw6IdDROQMLD7bIiAAqFRJDwpFiwKBgQwKROS2GBjiEhamr6Pw8CFQoQKwbx/g45MoHw4RkTMwMMRFup/KJHgffghs3w5kzvzSvVxlwtWlS/Wfsk1E5EpYY7BFyZLAwoUv/WbLSp59+gDXrv23L29eYPJkfX1nIiJXwBZDIpGgIL1azYOCkLKF7Jf7iYhcAQNDIpB0kbQUZAaNqEz7ZPVPppWIyBUwMCRSp6aoLYWowUGGSMhxRETOxsCQCG7eTNjjiIgciYEhEeTKlbDHERE5EgNDIqhcWe99JPPtWSP78+XTjyMicjYGhkSQLJneJVVEDQ6m7UmT9OOIiJyNgSGRyDiFlSv1aZbMSUtC9nMcAxG5Cg5wi4N0IZXeQlIYlhqApHvi+81eLv6+vgn3fEREjsDAkMgjlSUIVK0av8cSESUGppJiwJHKRJRUMTBYwZHKRJSUMTBYwZHKRJSUMTBYwZHKRJSUMTBYwZHKRJSUMTBYwZHKRJSUMTBYwZHKRJSUMTDEgCOViSip4gC3WHCkMhElRYZpMTRs2BA+Pj5IlSoVcuXKhY8++gg3btxw+OuaRiq3bq3/5PQVROTuDBMYqlWrhuXLl+Ps2bNYtWoVLly4gGayWDIRESUoD02zthKx61u3bh0aNWqE0NBQeHl52fSY4OBgeHt7IygoCBkyZHD4ORIRuQp7rn+GrDHcv38fixcvRoUKFWINChI05Gb+xhARkZukksQXX3yBtGnTIkuWLLhy5Qr8/f1jPX7cuHEqQppu+WSZNCIict3AMHDgQHh4eMR6O3PmTOTxAwYMwB9//IGtW7ciWbJkaNu2LWLLhA0aNEg1m0y3q1evJtJfRkRkXE6tMdy5cwf37t2L9ZhXXnkFKVKkiLb/2rVrqgUQGBiI8uXL2/R6rDEQUVIVbJQaQ7Zs2dQtPiIiItRP8xpCXEwxkLUGIkpqgv+tsdrSFjBE8fnXX3/Fb7/9hkqVKiFTpkyqq+rQoUNRqFAhm1sL4tGjR+onaw1ElFQ9evRItRwM3131zz//RJ8+fXDs2DE8efJEDXCrU6cOhgwZgjx58tjVypBBcenTp1f1C1eO7BK8pCbi7t1q+be6J36urkcu9RIUcufODU9PT+MHhqQmKdVC+Le6J36uxmao7qpEROR4DAxERGSBgcEFpUyZEsOGDVM/3R3/VvfEz9XYWGMgIiILbDEQEZEFBgYiIrLAwEBERBYYGFzY5cuX0alTJxQsWBCpU6dWI72lKP38+XO4ozFjxqip1NOkSYOMGTPCnUydOhUFChRQKxCWK1cOhw4dgjvau3cvGjRooAZRySDStWvXwl2NGzcOZcqUUQNms2fPrtaHkYXE3AEDgwuTmWVltPaMGTNw8uRJTJw4EdOnT8eXX34JdyQBr3nz5ujevTvcybJly9CvXz8V1I8cOYKSJUuidu3auH37NtyNzEwgf58EQne3Z88e9OzZEwcPHsS2bdsQFhaGWrVqqffA8GTkMxnH+PHjtYIFC2rubO7cuZq3t7fmLsqWLav17Nkzcjs8PFzLnTu3Nm7cOM2dyeVlzZo1WlJx+/Zt9Tfv2bNHMzq2GAxGpsnInDmzs0+D7GgF/f7776hRo0bkPpmnRrYPHDjA99HN/m0Kd/j3ycBgIOfPn8eUKVPQrVs3Z58K2eju3bsIDw9Hjhw5LPbL9j///MP30U1ERESgb9++qFixIooXLw6jY2AwwMp14vr162pGWcnBd+nSBe78txIZTc+ePXHixAn4+fnBHRhiPQZ389lnn6F9+/ZxrlxnIlOFV6tWTfXYmTlzJtz5b3U3WbNmVcvQ3rp1y2K/bOfMmdNp50UJp1evXli/fr3qkZU3b163eGsZGFx85TppKUhQKF26NObOnRvnPOqu5mVW6XMHsiytfHY7duxQ3RlNaQfZlgsKGZemafjkk0+wZs0a7N69W3UrdxcMDC5MgkLVqlWRP39+fPfdd2qNbBN3/LZ55coV3L9/X/2UvPzRo0fV/ldffRXp0qWDUUlX1Xbt2uHtt99G2bJlMWnSJNWlsUOHDnA3jx8/VrUwk0uXLqnPUQqyPj4+cLf00ZIlS+Dv76/GMphqRrKWiow7MjRnd4ui2Lttykdk7eaO2rVrZ/Vv3bVrl2Z0U6ZM0Xx8fLQUKVKo7qsHDx7U3JF8VtY+Q/ls3Q1i+Lcp/26NjrOrEhGRBWMlrImIyOEYGIiIyAIDAxERWWBgICIiCwwMRERkgYGBiIgsMDAQEZEFBgYiIrLAwECJSuaUkRlVHz58aKh3PqGXqZRlPmVqDCMvOyvviWnaEqN+rmQdAwMlmLim1x4+fLjLv9tyjm+99Va0/Tdv3kTdunWRFMnsuKYJAE3y5cun3hN3WHuAouMkepRg5EJhvs7xV199ZbE4ukyEd/jwYaetpCYzncaXO05a+DJkKnG+J+6LLQZKMHKhMN1khklpJZjvM58hVZa7lNlG06RJo9aZMA8gQmas/N///odUqVKp9RpGjBiBFy9eRN4vM7D6+vqq58yQIQNatGhhseaB6Zv/zz//rKZDlucRkuro3LmzmgpcHvfee+/h2LFj6r558+ap15FtUytH9llLJV27dg2tW7dWs4amTZtW/S2//vqruu/ChQvq3GSVNjm/MmXKYPv27Xa9lzK7rMzKmjFjRmTJkgWff/65mqHV/Ju7tXSU/M3mLbPvv/8eJUqUUOco3/J79OihZkA1kb9PXmPLli0oWrSoOl9ZEMoU5OW55s+frz4P03siaaOoqSRr9u3bh8qVK6uZRuW1e/furWaVNZk2bRoKFy6sPht5r5o1a2bXe0SOw8BATjF48GBMmDBBtSCSJ0+Ojh07Rt4XEBCAtm3bok+fPjh16hRmzJihLmBjxoyJXM9ALrwyRfeePXuwbds2XLx4ES1btrR4DZn+edWqVVi9enXkBUxWwLt9+zY2bdqkgpMEn+rVq6vnksfLwkLFihVTF0a5RX1OIRfWKlWqqGnR161bpwKJXLjlvEz316tXT6258Mcff6gLbYMGDVQws5W8N/I3z5kzR11g5fxk3n97yfodP/zwA06ePKku8Dt37lTnau7p06dqWveFCxeqxWbkPPv376/uk58SdE3BQm4SyOMiwVEe07RpUxw/fly1IOXvMK1BIZ+7BIqRI0eqLwWbN2/Gu+++a/ffRw7i7OldyT3J1MPe3t4xTsu8ffv2yH0bNmxQ+549e6a2q1evro0dO9bicQsXLtRy5cqlft+6dauWLFky7cqVK5H3nzx5Uj3HoUOH1PawYcM0Ly8v7fbt25HHBAQEaBkyZNBCQkIsnrtQoULajBkzIh9XsmTJaOctz71mzRr1uxybPn167d69eza/H8WKFVNTb5vkz59fmzhxYozHy986fvz4yO2wsDAtb968mq+vb6zPIecuf0NMVqxYoWXJkiXa1O7nz5+P3Dd16lQtR44ckdsyZbb564pLly6px/3xxx8Wn+uDBw/UdqdOnbSuXbtaPEbef09PT/U5r1q1Sn0WwcHBMZ4rOQ9rDOQUb775ZuTvuXLlUj/lm7ws5iLfwPfv3x/ZQjClVkJCQtS329OnT6vUhNxM3njjDZUSkfskdSNkgSPz1ePkeeXbvKRmzD179kx9w7WVtD5KlSql0kjWyGtICmbDhg3qG7akwOQ1bG0xBAUFqceVK1cucp+0qiRdpcco20kKa9y4cWpd7eDgYHUupvdR0nhCfhYqVMji85DP4mXIey0thcWLF0fuk3OXVpUs3lOzZk31+UiaUFoWcmvcuHHkOZFzMTCQU3h5eUX+LrlqYZ6KkVx/kyZNoj3OVCuwheTVzcnzykVPcuRRSVCxVVyrc0n6RdJbkp6R1efkeMmfSwE8IUmaKGqgCAsLi/xd6gD169dH9+7dVZCVQCbpnE6dOqlzMV2EzT8L0+dhbwCKSt7rbt26qXRRVBL8pSPAkSNH1GexdetW1VFBgulvv/1m12dBjsHAQC5H8v6Sd5aLqjVSJL169aq6mVoNUouQwrK0HGJ7Xll+Ub59S+HWGrlgSeskrtaOFLUl72+t1SCtHeniKd+ATRdJuUjbSgr3EsCkmG3Ku8s3fVNNxERaQ+Y9waRFIN/GTeR4CbZSrzCtFb58+XLYy5b3JCo5T/lMYvoMhXwONWrUULdhw4apgCA1EGtfCChxsfhMLke+PS5YsEC1GqRoKukhPz8/DBkyRN0vFxLpadOmTRv1rfPQoUOqWC0FYUm3xEQeV758edWzR76lysU6MDBQFcJN3WglYJjWKb579y5CQ0OjPY/0RpJeVvI8EgSk8C1F7gMHDqj7paeNqeAtKZUPPvggsjVkKym8f/3116onlKSBpDdR1MFj0qNKCsZSrP/zzz9VryXpRmoiF2VpQUyZMkWdoxw7ffp0u87D9J5IWkiCtbwn5q2SmHzxxRfqvZVis7wP586dUz2bTMXn9evXq6K43Pf333+rz1veo9dff93u86OEx8BALqd27drqwiEXb6kXvPPOO5g4caLKSZtSHXKRyZQpk/pGLRd8yVVLz5fYyOM2btyoHtOhQwe89tpraNWqlbowSXdJIb1oJN9drVo19Y186dKlVr9By7llz55d9T6SICUXcdNFWbqIyrlJ7x3pjSR/j/k3fVtI76iPPvpIXewlmMli86YWiMmgQYNUMJR00fvvv68ClXmtoGTJkupcvvnmGzUQTfL9Um+wV5cuXdQFW4KuvCcSDOMirSrpMfbXX3+pLqtSk5GAnzt3bnW/tA4keEpwkxagBCx5r6VHGDkf13wmMghJT0mrISGn5iCyhi0GIiKywMBAREQWmEoiIiILbDEQEZEFBgYiIrLAwEBERBYYGIiIyAIDAxERWWBgICIiCwwMRERkgYGBiIgsMDAQERHM/R8jsjQXIA0ToQAAAABJRU5ErkJggg==", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots(figsize=(4, 4))\n", + "\n", + "norm_sample = stats.norm.rvs(size=100)\n", + "stats.probplot(norm_sample, plot=ax)\n", + "\n", + "plt.tight_layout()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### R\n", + "R creates the same QQ diagnostic with `qqnorm` and adds a reference line using `abline`." + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "%%R\n", + "norm_samp <- rnorm(100)\n", + "qqnorm(norm_samp, main='', xlab='Quantile of normal distribution', ylab='z-score')\n", + "abline(a=0, b=1, col='grey')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Summary: Standard Normal and QQ-Plots\n", + "\n", + "| Operation | Python | R | Notes |\n", + "|---|---|---|---|\n", + "| Generate normal sample | `stats.norm.rvs(size=100)` | `rnorm(100)` | Equivalent normal sampling in both ecosystems. |\n", + "| QQ-plot construction | `stats.probplot(..., plot=ax)` | `qqnorm()` | Both compare sample quantiles to theoretical normal quantiles. |\n", + "| Reference line | built into `probplot` output | `abline(a=0, b=1)` | R adds the reference line explicitly. |\n", + "\n", + "Python centralizes QQ diagnostics in a single SciPy call, while R composes the plot in two clear base-graphics steps." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Long-Tailed Distributions" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Python" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "sp500_px = pd.read_csv(SP500_DATA_CSV)\n", + "\n", + "nflx = sp500_px.NFLX\n", + "nflx = np.diff(np.log(nflx[nflx>0]))\n", + "\n", + "fig, ax = plt.subplots(figsize=(4, 4))\n", + "stats.probplot(nflx, plot=ax)\n", + "\n", + "plt.tight_layout()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### R\n", + "R applies the same log-return transformation and evaluates tail behavior with `qqnorm` plus a reference line." + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "%%R\n", + "nflx <- sp500_px[,'NFLX']\n", + "nflx <- diff(log(nflx[nflx>0]))\n", + "qqnorm(nflx)\n", + "abline(a=0, b=1, col='grey')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Summary: Long-Tailed Distributions\n", + "\n", + "| Operation | Python | R | Notes |\n", + "|---|---|---|---|\n", + "| Extract series | `sp500_px.NFLX` | `sp500_px[,'NFLX']` | Same data selection with language-specific indexing style. |\n", + "| Log-return transform | `np.diff(np.log(...))` | `diff(log(...))` | Nearly identical mathematical transformation. |\n", + "| Tail check with QQ-plot | `stats.probplot()` | `qqnorm()` + `abline()` | Both reveal deviations from normality in the tails. |\n", + "\n", + "The statistical workflow is almost identical here; the practical difference is mainly API style and plotting defaults." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Binomial Distribution" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Python" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "0.07289999999999992\n" + ] + } + ], + "source": [ + "print(stats.binom.pmf(2, n=5, p=0.1))" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "0.99144\n" + ] + } + ], + "source": [ + "print(stats.binom.cdf(2, n=5, p=0.1))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### R\n", + "R computes binomial probability mass and cumulative probabilities with `dbinom` and `pbinom`." + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[1] 0.0729\n" + ] + } + ], + "source": [ + "%%R\n", + "dbinom(x=2, size=5, p=0.1)" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[1] 0.99144\n" + ] + } + ], + "source": [ + "%%R\n", + "pbinom(2, 5, 0.1)" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[1] 0.01758795\n" + ] + } + ], + "source": [ + "%%R\n", + "dbinom(x=0, size=200, p=0.02)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Summary: Binomial Distribution\n", + "\n", + "| Operation | Python | R | Notes |\n", + "|---|---|---|---|\n", + "| Probability mass function | `stats.binom.pmf()` | `dbinom()` | Direct PMF equivalents. |\n", + "| Cumulative distribution | `stats.binom.cdf()` | `pbinom()` | Direct CDF equivalents. |\n", + "| Rare-event exact probability | `stats.binom.pmf(0, n=200, p=0.02)` | `dbinom(x=0, size=200, p=0.02)` | Same exact-probability interpretation. |\n", + "\n", + "Both languages map distribution tasks to clear PMF/CDF function pairs; naming conventions differ, but semantics align closely." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Poisson and Related Distribution\n", + "## Poisson Distributions" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Python" + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "sample = stats.poisson.rvs(2, size=100)\n", + "\n", + "pd.Series(sample).plot.hist()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### R\n", + "R samples from a Poisson distribution with `rpois`, matching Python's random variate generation." + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " [1] 1 2 1 3 2 2 2 5 4 1 2 3 2 6 1 5 6 2 3 1 1 1 1 1 3 4 3 0 2 6 5 2 4 1 0 2 0\n", + " [38] 2 3 5 3 1 4 4 4 0 3 3 2 2 0 2 2 4 1 1 3 3 3 4 2 3 3 1 1 2 1 2 3 1 4 0 3 1\n", + " [75] 2 0 3 2 3 0 3 1 2 2 4 0 2 1 2 3 0 1 3 2 2 1 4 0 3 6\n" + ] + } + ], + "source": [ + "%%R\n", + "rpois(100, lambda=2)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Summary: Poisson Distribution\n", + "\n", + "| Operation | Python | R | Notes |\n", + "|---|---|---|---|\n", + "| Draw Poisson sample | `stats.poisson.rvs()` | `rpois()` | Same distributional sampling with different argument conventions. |\n", + "| Visualize sample distribution | `pd.Series(...).plot.hist()` | (implicit numeric output) | Python includes an immediate histogram in this section. |\n", + "\n", + "Python's example is visualization-first, while R keeps this snippet minimal and focused on random generation." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Exponential Distribution" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Python" + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "sample = stats.expon.rvs(scale=5, size=100)\n", + "\n", + "pd.Series(sample).plot.hist()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### R\n", + "R draws exponential random values with `rexp`, using `rate` (inverse of scale) rather than Python's `scale` parameterization." + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " [1] 6.638705698 0.006711071 15.878587439 6.385282642 8.689187718\n", + " [6] 0.274932847 1.060285215 6.015904303 0.093875017 6.455080602\n", + " [11] 5.107568993 0.109575669 1.765047924 4.227557843 2.735554227\n", + " [16] 2.997726241 10.191077841 4.240468833 5.387811716 1.497157135\n", + " [21] 7.579095225 5.562681489 0.486764224 6.090781335 6.687533734\n", + " [26] 11.269287234 0.240654313 0.935246479 0.237767026 2.176883069\n", + " [31] 4.110882086 5.987012894 3.275767015 2.445181824 2.651181775\n", + " [36] 6.898406064 19.070931960 4.248119792 0.343186936 12.450818987\n", + " [41] 2.647791156 10.937270921 0.721764060 2.244586736 3.630282255\n", + " [46] 6.024240218 6.942348827 3.908220823 1.472034554 3.390782559\n", + " [51] 2.439800855 37.597482109 4.775333837 11.167763983 8.946549366\n", + " [56] 7.299376037 12.101185163 3.056247963 4.740315424 4.895523689\n", + " [61] 1.628130914 24.576101832 16.337447203 7.101003165 14.902434388\n", + " [66] 3.736279260 8.338185277 7.306550126 9.611410722 5.024689697\n", + " [71] 0.568290169 2.569636486 2.460176537 11.749014658 3.956422438\n", + " [76] 2.443377292 9.854501355 6.621408963 2.375374401 13.817019732\n", + " [81] 3.085187747 1.722440703 0.445838206 3.266576538 4.105689740\n", + " [86] 1.336297201 4.055080791 1.765905851 3.591423519 2.463207191\n", + " [91] 0.012264115 3.268167726 0.385862768 3.178868897 0.920671530\n", + " [96] 1.341127136 0.060327433 2.979727949 3.784386473 0.993724382\n" + ] + } + ], + "source": [ + "%%R\n", + "rexp(n=100, rate=.2)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Summary: Exponential Distribution\n", + "\n", + "| Operation | Python | R | Notes |\n", + "|---|---|---|---|\n", + "| Draw exponential sample | `stats.expon.rvs(scale=5, size=100)` | `rexp(n=100, rate=.2)` | Same model with inverse parameterization (`scale = 1/rate`). |\n", + "| Visualize sample distribution | `pd.Series(...).plot.hist()` | (implicit numeric output) | Python displays shape directly; R cell focuses on generation. |\n", + "\n", + "The core difference is parameter naming (`scale` vs `rate`), a common practical source of confusion when moving between Python and R." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Weibull Distribution" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Python" + ] + }, + { + "cell_type": "code", + "execution_count": 32, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "sample = stats.weibull_min.rvs(1.5, scale=5000, size=100)\n", + "\n", + "pd.Series(sample).plot.hist()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### R\n", + "R generates Weibull samples with `rweibull`, using arguments corresponding to shape and scale as in SciPy." + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " [1] 4499.9469 4042.5563 1073.1496 3159.0999 4974.5261 2949.6250\n", + " [7] 2128.0114 2405.7802 1436.2068 990.8704 15948.7863 2193.5512\n", + " [13] 431.2380 8021.5171 7176.8527 1726.1685 15432.2320 3722.5258\n", + " [19] 2315.5834 4688.6165 5773.7101 5957.3862 4420.9181 11118.2133\n", + " [25] 5644.0183 268.1725 3278.2946 5831.1883 1897.1073 2874.1405\n", + " [31] 3694.6321 6936.2837 11993.7819 2089.0115 11197.4556 8322.2591\n", + " [37] 2814.7802 814.7315 10274.4828 2555.7808 3194.2294 5561.8328\n", + " [43] 5051.0215 2202.9072 1804.1324 2940.9301 9353.6981 10680.6408\n", + " [49] 14120.9182 4105.9855 4906.5105 6699.0250 3972.1596 8777.2478\n", + " [55] 4070.6581 402.4620 1870.7039 4313.7891 72.8319 8042.1638\n", + " [61] 2897.0133 4862.7379 6869.3911 6005.3425 3371.3165 3218.0901\n", + " [67] 998.1284 757.3426 2220.9315 275.2842 4895.8063 8644.0165\n", + " [73] 762.5403 3827.4317 1314.1232 874.4762 564.9984 6972.1248\n", + " [79] 4515.3303 4234.6136 7463.3809 1168.3263 2127.9401 3922.4539\n", + " [85] 15338.5370 3636.3710 4700.7371 3738.2289 3649.2965 3075.8736\n", + " [91] 4767.1117 7382.9251 1862.7404 1723.9324 5358.5367 3783.5527\n", + " [97] 1631.6235 9452.3934 5725.8342 5672.2297\n" + ] + } + ], + "source": [ + "%%R\n", + "rweibull(100, 1.5, 5000)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Summary: Weibull Distribution\n", + "\n", + "| Operation | Python | R | Notes |\n", + "|---|---|---|---|\n", + "| Draw Weibull sample | `stats.weibull_min.rvs(1.5, scale=5000, size=100)` | `rweibull(100, 1.5, 5000)` | Same family and parameter roles (shape, scale). |\n", + "| Visualize sample distribution | `pd.Series(...).plot.hist()` | (implicit numeric output) | Python includes direct plotting in this snippet. |\n", + "\n", + "Distribution support is equivalent in both languages; Python examples here emphasize quick visualization, while R examples emphasize concise generation.\n" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.12.7" + } + }, + "nbformat": 4, + "nbformat_minor": 4 +} diff --git a/python_R/notebooks/Chapter 3 - Statistical Experiments and Significance Testing.ipynb b/python_R/notebooks/Chapter 3 - Statistical Experiments and Significance Testing.ipynb new file mode 100644 index 0000000..3420d3b --- /dev/null +++ b/python_R/notebooks/Chapter 3 - Statistical Experiments and Significance Testing.ipynb @@ -0,0 +1,1847 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Practical Statistics for Data Scientists (Python + R)\n", + "# Chapter 3. Statistical Experiments and Significance Testing\n", + "> (c) 2019 Peter C. Bruce, Andrew Bruce, Peter Gedeck" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Loading the rpy2 extension in a notebook with the Python kernel" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "import sys\n", + "import io\n", + "\n", + "stderr_original = sys.stderr\n", + "sys.stderr = io.StringIO()\n", + "\n", + "# Loading the extension without noise\n", + "%load_ext rpy2.ipython\n", + "\n", + "sys.stderr = stderr_original # Restore silently" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "%%R\n", + "suppressWarnings(\n", + " invisible(\n", + " try(Sys.setlocale(\"LC_ALL\", \"English\"), silent = TRUE)\n", + " )\n", + ")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Import packages" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Import required Python packages." + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [], + "source": [ + "%matplotlib inline\n", + "\n", + "from pathlib import Path\n", + "import random\n", + "\n", + "import pandas as pd\n", + "import numpy as np\n", + "\n", + "from scipy import stats\n", + "import statsmodels.api as sm\n", + "import statsmodels.formula.api as smf\n", + "from statsmodels.stats import power\n", + "\n", + "import matplotlib.pylab as plt" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [], + "source": [ + "try:\n", + " import common\n", + " DATA = common.dataDirectory()\n", + "except ImportError:\n", + " DATA = Path().resolve() / 'data'" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Import required R packages" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "\n", + "Dolaczanie pakietu: 'dplyr'\n", + "\n", + "Nastepujace obiekty zostaly zakryte z 'package:stats':\n", + "\n", + " filter, lag\n", + "\n", + "Nastepujace obiekty zostaly zakryte z 'package:base':\n", + "\n", + " intersect, setdiff, setequal, union\n", + "\n", + "In addition: Warning messages:\n", + "1: pakiet 'lmPerm' zostal zbudowany w wersji R 4.5.3 \n", + "2: pakiet 'pwr' zostal zbudowany w wersji R 4.5.3 \n" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "%%R\n", + "Sys.setlocale(\"LC_ALL\", \"English\")\n", + "# Install missing packages if needed\n", + "packages <- c(\"ggplot2\", \"dplyr\", \"lmPerm\", \"pwr\")\n", + "installed <- rownames(installed.packages())\n", + "to_install <- packages[!packages %in% installed]\n", + "if (length(to_install) > 0) {\n", + " install.packages(to_install, repos = 'https://cloud.r-project.org/')\n", + "}\n", + "\n", + "# Load them all\n", + "library(ggplot2)\n", + "library(dplyr)\n", + "library(lmPerm)\n", + "library(pwr)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Defining data paths\n", + "If you don't keep your data in the same directory as the code, adapt the path names." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Python" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [], + "source": [ + "WEB_PAGE_DATA_CSV = DATA / 'web_page_data.csv'\n", + "FOUR_SESSIONS_CSV = DATA / 'four_sessions.csv'\n", + "CLICK_RATE_CSV = DATA / 'click_rates.csv'\n", + "IMANISHI_CSV = DATA / 'imanishi_data.csv'" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### R\n", + "R loads the same Chapter 3 datasets from disk (`web_page_data`, `four_sessions`, `click_rates`, and `imanishi_data`) and applies the same time scaling as Python." + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [], + "source": [ + "%%R\n", + "PSDS_PATH <- file.path(dirname(dirname(getwd())))\n", + "\n", + "\n", + "session_times <- read.csv(file.path(PSDS_PATH, 'data', 'web_page_data.csv'))\n", + "session_times[,2] <- session_times[,2] * 100\n", + "four_sessions <- read.csv(file.path(PSDS_PATH, 'data', 'four_sessions.csv'))\n", + "click_rate <- read.csv(file.path(PSDS_PATH, 'data', 'click_rates.csv'))\n", + "imanishi <- read.csv(file.path(PSDS_PATH, 'data', 'imanishi_data.csv'))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Summary: Defining data paths\n", + "\n", + "| Operation | Python | R | Notes |\n", + "|---|---|---|---|\n", + "| Base path setup | `Path(...)` / explicit strings | direct path strings in `read.csv()` | Both point to the same chapter datasets. |\n", + "| Dataset loading | `pd.read_csv(...)` | `read.csv(...)` | Equivalent import step with language-specific defaults. |\n", + "| Basic preprocessing | pandas column transforms | base R column transforms | Both align units before analysis. |\n", + "\n", + "Python makes path handling and transformations explicit through objects, while R keeps data import and quick preprocessing concise." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Resampling" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [], + "source": [ + "session_times = pd.read_csv(WEB_PAGE_DATA_CSV)\n", + "session_times.Time = 100 * session_times.Time" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "ax = session_times.boxplot(by='Page', column='Time',\n", + " figsize=(4, 4))\n", + "ax.set_xlabel('')\n", + "ax.set_ylabel('Time (in seconds)')\n", + "plt.suptitle('')\n", + "\n", + "plt.tight_layout()\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "35.66666666666667\n" + ] + } + ], + "source": [ + "mean_a = session_times[session_times.Page == 'Page A'].Time.mean()\n", + "mean_b = session_times[session_times.Page == 'Page B'].Time.mean()\n", + "print(mean_b - mean_a)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The following code is different to the R version. idx_A and idx_B are reversed." + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "30.752380952380946\n" + ] + } + ], + "source": [ + "# Permutation test example with stickiness\n", + "def perm_fun(x, nA, nB):\n", + " n = nA + nB\n", + " idx_B = set(random.sample(range(n), nB))\n", + " idx_A = set(range(n)) - idx_B\n", + " return x.loc[list(idx_B)].mean() - x.loc[list(idx_A)].mean()\n", + " \n", + "nA = session_times[session_times.Page == 'Page A'].shape[0]\n", + "nB = session_times[session_times.Page == 'Page B'].shape[0]\n", + "print(perm_fun(session_times.Time, nA, nB))" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "random.seed(1)\n", + "perm_diffs = [perm_fun(session_times.Time, nA, nB) for _ in range(1000)]\n", + "\n", + "fig, ax = plt.subplots(figsize=(5, 5))\n", + "ax.hist(perm_diffs, bins=11, rwidth=0.9)\n", + "ax.axvline(x = mean_b - mean_a, color='black', lw=2)\n", + "ax.text(50, 190, 'Observed\\ndifference', bbox={'facecolor':'white'})\n", + "ax.set_xlabel('Session time differences (in seconds)')\n", + "ax.set_ylabel('Frequency')\n", + "\n", + "plt.tight_layout()\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "0.121\n" + ] + } + ], + "source": [ + "# convert perm_diffs to numpy array to avoid problems with some Python installations\n", + "perm_diffs = np.array(perm_diffs)\n", + "print(np.mean(perm_diffs > mean_b - mean_a))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### R\n", + "R reproduces the permutation workflow using a custom `perm_fun`, then visualizes the null distribution and computes the one-sided tail probability." + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "%%R\n", + "graph <- ggplot(session_times, aes(x=Page, y=Time)) + \n", + " geom_boxplot() +\n", + " labs(y='Time (in seconds)') + \n", + " theme_bw()\n", + "graph" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[1] 35.66667\n" + ] + } + ], + "source": [ + "%%R\n", + "mean_a <- mean(session_times[session_times['Page'] == 'Page A', 'Time'])\n", + "mean_b <- mean(session_times[session_times['Page'] == 'Page B', 'Time'])\n", + "mean_b - mean_a" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [], + "source": [ + "%%R\n", + "## Permutation test example with stickiness\n", + "perm_fun <- function(x, nA, nB)\n", + "{\n", + " n <- nA + nB\n", + " idx_b <- sample(1:n, nB)\n", + " idx_a <- setdiff(1:n, idx_b)\n", + " mean_diff <- mean(x[idx_b]) - mean(x[idx_a])\n", + " return(mean_diff)\n", + "}" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "%%R\n", + "set.seed(1)\n", + "perm_diffs <- rep(0, 1000)\n", + "for (i in 1:1000) {\n", + " perm_diffs[i] = perm_fun(session_times[, 'Time'], 21, 15)\n", + "}\n", + "par(mar=c(4,4,1,0)+.1)\n", + "hist(perm_diffs, xlab='Session time differences (in seconds)', main='')\n", + "abline(v=mean_b - mean_a, lty=2, lwd=1.5)\n", + "text(' Observed\\n difference', x=mean_b - mean_a, y=par()$usr[4]-20, adj=0)" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[1] 0.141\n" + ] + } + ], + "source": [ + "%%R\n", + "mean(perm_diffs > (mean_b - mean_a))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Summary: Resampling\n", + "\n", + "| Operation | Python | R | Notes |\n", + "|---|---|---|---|\n", + "| Group comparison plot | `DataFrame.boxplot()` | `ggplot2::geom_boxplot()` | Both inspect between-page session-time differences visually. |\n", + "| Permutation function | custom `perm_fun()` with `random.sample()` | custom `perm_fun()` with `sample()` | Same logic with language-specific sampling utilities. |\n", + "| Null distribution simulation | list comprehension over 1000 permutations | `for` loop over 1000 permutations | Equivalent Monte Carlo approach. |\n", + "| Empirical tail probability | `np.mean(perm_diffs > observed_diff)` | `mean(perm_diffs > observed_diff)` | Same p-value-style estimate from permutation outcomes. |\n", + "\n", + "Python and R follow the same permutation-test design, but Python is more array/list oriented while R is more vectorized and formula-friendly." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Statistical Significance and P-Values" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Observed difference: 0.0368%\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "random.seed(1)\n", + "obs_pct_diff = 100 * (200 / 23739 - 182 / 22588)\n", + "print(f'Observed difference: {obs_pct_diff:.4f}%')\n", + "conversion = [0] * 45945\n", + "conversion.extend([1] * 382)\n", + "conversion = pd.Series(conversion)\n", + "\n", + "perm_diffs = [100 * perm_fun(conversion, 23739, 22588) \n", + " for _ in range(1000)]\n", + "\n", + "fig, ax = plt.subplots(figsize=(5, 5))\n", + "ax.hist(perm_diffs, bins=11, rwidth=0.9)\n", + "ax.axvline(x=obs_pct_diff, color='black', lw=2)\n", + "ax.text(0.06, 200, 'Observed\\ndifference', bbox={'facecolor':'white'})\n", + "ax.set_xlabel('Conversion rate (percent)')\n", + "ax.set_ylabel('Frequency')\n", + "\n", + "plt.tight_layout()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### R\n", + "R computes the observed conversion-rate difference and generates a permutation-based null distribution using repeated random shuffles." + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": "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", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "%%R\n", + "obs_pct_diff <- 100 * (200 / 23739 - 182 / 22588)\n", + "conversion <- c(rep(0, 45945), rep(1, 382))\n", + "perm_diffs <- rep(0, 1000)\n", + "for (i in 1:1000) {\n", + " perm_diffs[i] = 100 * perm_fun(conversion, 23739, 22588)\n", + "}\n", + "\n", + "hist(perm_diffs, xlab='Conversion rate (percent)', main='')\n", + "abline(v=obs_pct_diff, lty=2, lwd=1.5)\n", + "text(' Observed\\n difference', x=obs_pct_diff, y=par()$usr[4]-20, adj=0)" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[1] 0.03675791\n" + ] + } + ], + "source": [ + "%%R\n", + "# Obbserved difference\n", + "obs_pct_diff" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## P-Value" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Python\n", + "If `np.mean` is applied to a list of booleans, it gives the percentage of how often True was found in the list (#True / #Total)." + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "0.332\n" + ] + } + ], + "source": [ + "print(np.mean([diff > obs_pct_diff for diff in perm_diffs]))" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "p-value for single sided test: 0.3498\n" + ] + } + ], + "source": [ + "survivors = np.array([[200, 23739 - 200], [182, 22588 - 182]])\n", + "chi2, p_value, df, _ = stats.chi2_contingency(survivors)\n", + "\n", + "print(f'p-value for single sided test: {p_value / 2:.4f}')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### R" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[1] 0.34\n" + ] + } + ], + "source": [ + "%%R\n", + "mean(perm_diffs > obs_pct_diff)" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "\t2-sample test for equality of proportions with continuity correction\n", + "\n", + "data: c(200, 182) out of c(23739, 22588)\n", + "X-squared = 0.14893, df = 1, p-value = 0.3498\n", + "alternative hypothesis: greater\n", + "95 percent confidence interval:\n", + " -0.001057439 1.000000000\n", + "sample estimates:\n", + " prop 1 prop 2 \n", + "0.008424955 0.008057376 \n", + "\n" + ] + } + ], + "source": [ + "%%R\n", + "prop.test(x=c(200,182), n=c(23739,22588), alternative='greater')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Summary: Statistical Significance and P-Values\n", + "\n", + "| Operation | Python | R | Notes |\n", + "|---|---|---|---|\n", + "| Observed conversion lift | direct arithmetic expression | direct arithmetic expression | Identical effect-size definition in both languages. |\n", + "| Permutation sampling | manual shuffled assignments | manual shuffled assignments | Both build a null distribution without strong parametric assumptions. |\n", + "| Empirical p-value | boolean mean via `np.mean(...)` | boolean mean via `mean(...)` | Same interpretation: tail-area fraction in simulated outcomes. |\n", + "| Classical benchmark test | `stats.chi2_contingency()` | `prop.test()` | Different default tests, same inferential objective. |\n", + "\n", + "Both ecosystems support randomization inference and classical tests; the key practical difference is which built-in test API is typically used first." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# t-Tests" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Python" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "p-value for single sided test: 0.1408\n" + ] + } + ], + "source": [ + "res = stats.ttest_ind(session_times[session_times.Page == 'Page A'].Time, \n", + " session_times[session_times.Page == 'Page B'].Time,\n", + " equal_var=False)\n", + "print(f'p-value for single sided test: {res.pvalue / 2:.4f}')" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "p-value: 0.1408\n" + ] + } + ], + "source": [ + "tstat, pvalue, df = sm.stats.ttest_ind(\n", + " session_times[session_times.Page == 'Page A'].Time, \n", + " session_times[session_times.Page == 'Page B'].Time,\n", + " usevar='unequal', alternative='smaller')\n", + "print(f'p-value: {pvalue:.4f}')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### R\n", + "R runs the same directional two-sample t-test using formula syntax (`t.test(Time ~ Page, ...)`)." + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "\tWelch Two Sample t-test\n", + "\n", + "data: Time by Page\n", + "t = -1.0983, df = 27.693, p-value = 0.1408\n", + "alternative hypothesis: true difference in means between group Page A and group Page B is less than 0\n", + "95 percent confidence interval:\n", + " -Inf 19.59674\n", + "sample estimates:\n", + "mean in group Page A mean in group Page B \n", + " 126.3333 162.0000 \n", + "\n" + ] + } + ], + "source": [ + "%%R\n", + "t.test(Time ~ Page, data=session_times, alternative='less')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Summary: t-Tests\n", + "\n", + "| Operation | Python | R | Notes |\n", + "|---|---|---|---|\n", + "| Two-sample t-test | `stats.ttest_ind(...)` | `t.test(Time ~ Page, ...)` | Same hypothesis test with different interface styles. |\n", + "| Directional alternative | `alternative='less'` | `alternative='less'` | Directionality is explicit in both implementations. |\n", + "| Degrees of freedom output | `sm.stats.ttest_ind(...)` | returned in `t.test` result | Both provide test statistic context beyond p-value. |\n", + "\n", + "R's formula interface is compact for grouped comparisons, while Python commonly combines SciPy and statsmodels for fuller output control." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# ANOVA" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Python" + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "four_sessions = pd.read_csv(FOUR_SESSIONS_CSV)\n", + "\n", + "ax = four_sessions.boxplot(by='Page', column='Time',\n", + " figsize=(4, 4))\n", + "ax.set_xlabel('Page')\n", + "ax.set_ylabel('Time (in seconds)')\n", + "plt.suptitle('')\n", + "plt.title('')\n", + "\n", + "plt.tight_layout()\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " Page Time\n", + "0 Page 1 164\n", + "1 Page 2 178\n", + "2 Page 3 175\n", + "3 Page 4 155\n", + "4 Page 1 172\n" + ] + } + ], + "source": [ + "print(pd.read_csv(FOUR_SESSIONS_CSV).head())" + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Observed means: [172.8 182.6 175.6 164.6]\n", + "Variance: 55.426666666666655\n", + "11.05333333333337\n" + ] + } + ], + "source": [ + "observed_variance = four_sessions.groupby('Page').mean().var().iloc[0]\n", + "print('Observed means:', four_sessions.groupby('Page').mean().values.ravel())\n", + "print('Variance:', observed_variance)\n", + "# Permutation test example with stickiness\n", + "def perm_test(df):\n", + " df = df.copy()\n", + " df['Time'] = np.random.permutation(df['Time'].values)\n", + " return df.groupby('Page').mean().var().iloc[0]\n", + " \n", + "print(perm_test(four_sessions))" + ] + }, + { + "cell_type": "code", + "execution_count": 32, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Pr(Prob) 0.084\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "random.seed(1)\n", + "perm_variance = [perm_test(four_sessions) for _ in range(3000)]\n", + "print('Pr(Prob)', np.mean([var > observed_variance for var in perm_variance]))\n", + "\n", + "fig, ax = plt.subplots(figsize=(5, 5))\n", + "ax.hist(perm_variance, bins=11, rwidth=0.9)\n", + "ax.axvline(x = observed_variance, color='black', lw=2)\n", + "ax.text(60, 200, 'Observed\\nvariance', bbox={'facecolor':'white'})\n", + "ax.set_xlabel('Variance')\n", + "ax.set_ylabel('Frequency')\n", + "\n", + "plt.tight_layout()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### F-Statistic - Python\n", + "We can compute an ANOVA table using statsmodel." + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " df sum_sq mean_sq F PR(>F)\n", + "Page 3.0 831.4 277.133333 2.739825 0.077586\n", + "Residual 16.0 1618.4 101.150000 NaN NaN\n" + ] + } + ], + "source": [ + "model = smf.ols('Time ~ Page', data=four_sessions).fit()\n", + " \n", + "aov_table = sm.stats.anova_lm(model)\n", + "print(aov_table)" + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "F-Statistic: 1.3699\n", + "p-value: 0.0388\n" + ] + } + ], + "source": [ + "res = stats.f_oneway(four_sessions[four_sessions.Page == 'Page 1'].Time, \n", + " four_sessions[four_sessions.Page == 'Page 2'].Time,\n", + " four_sessions[four_sessions.Page == 'Page 3'].Time,\n", + " four_sessions[four_sessions.Page == 'Page 4'].Time)\n", + "print(f'F-Statistic: {res.statistic / 2:.4f}')\n", + "print(f'p-value: {res.pvalue / 2:.4f}')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Two-way anova only available with statsmodels\n", + "```\n", + "formula = 'len ~ C(supp) + C(dose) + C(supp):C(dose)'\n", + "model = ols(formula, data).fit()\n", + "aov_table = anova_lm(model, typ=2)\n", + "```" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### R\n", + "R visualizes group distributions and runs permutation ANOVA with `aovp` from `lmPerm`." + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "%%R\n", + "graph <- ggplot(four_sessions, aes(x=Page, y=Time)) + \n", + " geom_boxplot() +\n", + " labs(y='Time (in seconds)') +\n", + " theme_bw()\n", + "graph" + ] + }, + { + "cell_type": "code", + "execution_count": 36, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[1] \"Settings: unique SS \"\n", + "Component 1 :\n", + " Df R Sum Sq R Mean Sq Iter Pr(Prob) \n", + "Page1 3 831.4 277.13 5000 0.001 ***\n", + "Residuals 16 1618.4 101.15 \n", + "---\n", + "Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1\n", + "\n" + ] + } + ], + "source": [ + "%%R\n", + "library(lmPerm)\n", + "summary(aovp(Time ~ Page, data=four_sessions))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### F-Statistic - R" + ] + }, + { + "cell_type": "code", + "execution_count": 37, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " Df Sum Sq Mean Sq F value Pr(>F) \n", + "Page 3 831.4 277.1 2.74 0.0776 .\n", + "Residuals 16 1618.4 101.2 \n", + "---\n", + "Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1\n" + ] + } + ], + "source": [ + "%%R\n", + "summary(aov(Time ~ Page, data=four_sessions))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Summary: ANOVA and F-Statistic\n", + "\n", + "| Operation | Python | R | Notes |\n", + "|---|---|---|---|\n", + "| Group means and spread check | `groupby()` + custom variance metric | boxplot in `ggplot2` | Both start with exploratory between-group structure. |\n", + "| Permutation ANOVA | custom `perm_test` simulation | `lmPerm::aovp(...)` | Python builds simulation explicitly; R provides a dedicated permutation ANOVA API. |\n", + "| Classical ANOVA table | `sm.stats.anova_lm(...)` | `summary(aov(...))` | Standard F-statistic workflow in both languages. |\n", + "| One-way F test helper | `stats.f_oneway(...)` | via `aov` summary | Equivalent one-way significance framing. |\n", + "\n", + "Python offers granular procedural control, while R's statistical modeling packages provide concise high-level ANOVA calls." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Chi-Square Test\n", + "## Chi-Square Test: A Resampling Approach" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Python" + ] + }, + { + "cell_type": "code", + "execution_count": 38, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Headline Headline A Headline B Headline C\n", + "Click \n", + "Click 14 8 12\n", + "No-click 986 992 988\n" + ] + } + ], + "source": [ + "# Table 3-4\n", + "click_rate = pd.read_csv(CLICK_RATE_CSV)\n", + "clicks = click_rate.pivot(index='Click', columns='Headline', values='Rate')\n", + "print(clicks)" + ] + }, + { + "cell_type": "code", + "execution_count": 39, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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" + ], + "text/plain": [ + " Headline A Headline B Headline C\n", + "Click \n", + "Click 11.333333 11.333333 11.333333\n", + "No-click 988.666667 988.666667 988.666667" + ] + }, + "execution_count": 39, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# Table 3-5\n", + "row_average = clicks.mean(axis=1)\n", + "pd.DataFrame({\n", + " 'Headline A': row_average,\n", + " 'Headline B': row_average,\n", + " 'Headline C': row_average,\n", + "})" + ] + }, + { + "cell_type": "code", + "execution_count": 40, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Observed chi2: 1.6659\n", + "Resampled p-value: 0.4660\n" + ] + } + ], + "source": [ + "# Resampling approach\n", + "box = [1] * 34\n", + "box.extend([0] * 2966)\n", + "random.shuffle(box)\n", + "\n", + "def chi2(observed, expected):\n", + " pearson_residuals = []\n", + " for row, expect in zip(observed, expected):\n", + " pearson_residuals.append([(observe - expect) ** 2 / expect\n", + " for observe in row])\n", + " # return sum of squares\n", + " return np.sum(pearson_residuals)\n", + "\n", + "expected_clicks = 34 / 3\n", + "expected_noclicks = 1000 - expected_clicks\n", + "expected = [expected_clicks, expected_noclicks]\n", + "chi2observed = chi2(clicks.values, expected)\n", + "\n", + "def perm_fun(box):\n", + " random.shuffle(box)\n", + " sample_clicks = [sum(box[0:1000]),\n", + " sum(box[1000:2000]),\n", + " sum(box[2000:3000])]\n", + " sample_noclicks = [1000 - n for n in sample_clicks]\n", + " return chi2([sample_clicks, sample_noclicks], expected)\n", + "\n", + "perm_chi2 = [perm_fun(box) for _ in range(2000)]\n", + "\n", + "resampled_p_value = sum(perm_chi2 > chi2observed) / len(perm_chi2)\n", + "print(f'Observed chi2: {chi2observed:.4f}')\n", + "print(f'Resampled p-value: {resampled_p_value:.4f}')" + ] + }, + { + "cell_type": "code", + "execution_count": 41, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Observed chi2: 1.6659\n", + "p-value: 0.4348\n" + ] + } + ], + "source": [ + "chisq, pvalue, df, expected = stats.chi2_contingency(clicks)\n", + "print(f'Observed chi2: {chisq:.4f}')\n", + "print(f'p-value: {pvalue:.4f}')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The above algorithm uses sampling into the three sets without replacement. Alternatively, it is also possible to sample with replacement." + ] + }, + { + "cell_type": "code", + "execution_count": 42, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Observed chi2: 1.6659\n", + "Resampled p-value: 0.4845\n" + ] + } + ], + "source": [ + "expected = [expected_clicks, expected_noclicks]\n", + "def sample_with_replacement(box):\n", + " sample_clicks = [sum(random.sample(box, 1000)),\n", + " sum(random.sample(box, 1000)),\n", + " sum(random.sample(box, 1000))]\n", + " sample_noclicks = [1000 - n for n in sample_clicks]\n", + " return chi2([sample_clicks, sample_noclicks], expected)\n", + "\n", + "perm_chi2 = [sample_with_replacement(box) for _ in range(2000)]\n", + "\n", + "resampled_p_value = sum(perm_chi2 > chi2observed) / len(perm_chi2)\n", + "print(f'Observed chi2: {chi2observed:.4f}')\n", + "print(f'Resampled p-value: {resampled_p_value:.4f}')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Figure chi-sq distribution" + ] + }, + { + "cell_type": "code", + "execution_count": 43, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "x = [1 + i * (30 - 1) / 99 for i in range(100)]\n", + "\n", + "chi = pd.DataFrame({\n", + " 'x': x,\n", + " 'chi_1': stats.chi2.pdf(x, df=1),\n", + " 'chi_2': stats.chi2.pdf(x, df=2),\n", + " 'chi_5': stats.chi2.pdf(x, df=5),\n", + " 'chi_10': stats.chi2.pdf(x, df=10),\n", + " 'chi_20': stats.chi2.pdf(x, df=20),\n", + "})\n", + "fig, ax = plt.subplots(figsize=(4, 2.5))\n", + "ax.plot(chi.x, chi.chi_1, color='black', linestyle='-', label='1')\n", + "ax.plot(chi.x, chi.chi_2, color='black', linestyle=(0, (1, 1)), label='2')\n", + "ax.plot(chi.x, chi.chi_5, color='black', linestyle=(0, (2, 1)), label='5')\n", + "ax.plot(chi.x, chi.chi_10, color='black', linestyle=(0, (3, 1)), label='10')\n", + "ax.plot(chi.x, chi.chi_20, color='black', linestyle=(0, (4, 1)), label='20')\n", + "ax.legend(title='df')\n", + "\n", + "plt.tight_layout()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Fisher's Exact Test\n", + "Scipy has only an implementation of Fisher's Exact test for 2x2 matrices. There is a github repository that provides a Python implementation that uses the same code as the R version. Installing this requires a Fortran compiler. \n", + "```\n", + "stats.fisher_exact(clicks)\n", + "```" + ] + }, + { + "cell_type": "code", + "execution_count": 44, + "metadata": {}, + "outputs": [], + "source": [ + "# stats.fisher_exact(clicks.values)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Scientific Fraud" + ] + }, + { + "cell_type": "code", + "execution_count": 45, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "imanishi = pd.read_csv(IMANISHI_CSV)\n", + "imanishi.columns = [c.strip() for c in imanishi.columns]\n", + "ax = imanishi.plot.bar(x='Digit', y=['Frequency'], legend=False,\n", + " figsize=(4, 4))\n", + "ax.set_xlabel('Digit')\n", + "ax.set_ylabel('Frequency')\n", + "\n", + "plt.tight_layout()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### R\n", + "R builds the contingency table and evaluates independence with `chisq.test()`." + ] + }, + { + "cell_type": "code", + "execution_count": 46, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "\tPearson's Chi-squared test with simulated p-value (based on 2000\n", + "\treplicates)\n", + "\n", + "data: clicks\n", + "X-squared = 1.6659, df = NA, p-value = 0.4813\n", + "\n" + ] + } + ], + "source": [ + "%%R\n", + "clicks <- matrix(click_rate$Rate, nrow=3, ncol=2, byrow=TRUE)\n", + "dimnames(clicks) <- list(unique(click_rate$Headline), unique(click_rate$Click))\n", + "\n", + "chisq.test(clicks, simulate.p.value=TRUE)" + ] + }, + { + "cell_type": "code", + "execution_count": 47, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "\tPearson's Chi-squared test\n", + "\n", + "data: clicks\n", + "X-squared = 1.6659, df = 2, p-value = 0.4348\n", + "\n" + ] + } + ], + "source": [ + "%%R\n", + "chisq.test(clicks, simulate.p.value=FALSE)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Figure chi-sq distribution" + ] + }, + { + "cell_type": "code", + "execution_count": 48, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "R callback write-console: In addition: \n", + "R callback write-console: Warning messages:\n", + " \n", + "R callback write-console: 1: \n", + "R callback write-console: In geom_text(aes(x = 25, y = 0.06, label = \"df=20\"), size = 2.5) : \n", + "R callback write-console: \n", + " \n", + "R callback write-console: All aesthetics have length 1, but the data has 400 rows.\n", + "i Please consider using `annotate()` or provide this layer with data containing a single row.\n", + " \n", + "R callback write-console: 2: \n", + "R callback write-console: In geom_text(aes(x = 8, y = 0.1, label = \"df=5\"), size = 2.5) : \n", + "R callback write-console: \n", + " \n", + "R callback write-console: All aesthetics have length 1, but the data has 400 rows.\n", + "i Please consider using `annotate()` or provide this layer with data containing a single row.\n", + " \n", + "R callback write-console: 3: \n", + "R callback write-console: In geom_text(aes(x = 4, y = 0.2, label = \"df=2\"), size = 2.5) : \n", + "R callback write-console: \n", + " \n", + "R callback write-console: All aesthetics have length 1, but the data has 400 rows.\n", + "i Please consider using `annotate()` or provide this layer with data containing a single row.\n", + " \n", + "R callback write-console: 4: \n", + "R callback write-console: In geom_text(aes(x = 1.5, y = 0.05, label = \"df=1\"), size = 2.5) : \n", + "R callback write-console: \n", + " \n", + "R callback write-console: All aesthetics have length 1, but the data has 400 rows.\n", + "i Please consider using `annotate()` or provide this layer with data containing a single row.\n", + " \n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "%%R\n", + "x <- seq(1, 30, length=100)\n", + "chi <- data.frame(df = factor(rep(c(1, 2, 5, 20), rep(100, 4))),\n", + " x = rep(x, 4),\n", + " p = c(dchisq(x, 1), dchisq(x, 2), dchisq(x, 5), dchisq(x, 20)))\n", + "\n", + "graph <- ggplot(chi, aes(x=x, y=p)) +\n", + " geom_line(aes(linetype=df)) +\n", + " geom_text(aes(x=25, y=0.06, label='df=20'), size=2.5) +\n", + " geom_text(aes(x=8, y=0.1, label='df=5'), size=2.5) +\n", + " geom_text(aes(x=4, y=0.2, label='df=2'), size=2.5) +\n", + " geom_text(aes(x=1.5, y=0.05, label='df=1'), size=2.5) +\n", + " theme_bw() + theme(legend.position = \"none\") +\n", + " labs(x='Value of chi-square statistic', y='Probability')\n", + "graph" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Fisher's Exact Test" + ] + }, + { + "cell_type": "code", + "execution_count": 49, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "\tFisher's Exact Test for Count Data\n", + "\n", + "data: clicks\n", + "p-value = 0.4824\n", + "alternative hypothesis: two.sided\n", + "\n" + ] + } + ], + "source": [ + "%%R\n", + "fisher.test(clicks)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Scientific Fraud" + ] + }, + { + "cell_type": "code", + "execution_count": 50, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": "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", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "%%R\n", + "## Code for Figure 8\n", + "imanishi$Digit <- factor(imanishi$Digit)\n", + "\n", + "graph <- ggplot(imanishi, aes(x=Digit, y=Frequency)) +\n", + " geom_bar(stat='identity') +\n", + " theme_bw()\n", + "graph" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Summary: Chi-Square, Fisher's Exact Test, and Scientific-Fraud Simulation\n", + "\n", + "| Operation | Python | R | Notes |\n", + "|---|---|---|---|\n", + "| Contingency table setup | `DataFrame` reshaping to matrix | `matrix(..., byrow=TRUE)` | Same data structure for count-based tests. |\n", + "| Chi-square test | `stats.chi2_contingency()` | `chisq.test()` | Equivalent test of independence. |\n", + "| Reference chi-square density | `stats.chi2.pdf()` + matplotlib | `dchisq()` + base plot | Same theoretical distribution visualization. |\n", + "| Fisher exact test | `stats.fisher_exact()` (2x2) | `fisher.test()` | R has broader built-in support for exact tests. |\n", + "| p-value simulation study | repeated Monte Carlo sampling | repeated simulation loop in R | Both reproduce p-value distribution behavior under repeated testing. |\n", + "\n", + "The statistical goals are aligned, but R offers a more complete built-in exact-testing toolchain, whereas Python often relies on SciPy's narrower defaults." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Power and Sample Size" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Python\n", + "statsmodels has a number of methods for power calculation\n", + "\n", + "see e.g.: https://machinelearningmastery.com/statistical-power-and-power-analysis-in-python/" + ] + }, + { + "cell_type": "code", + "execution_count": 51, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Sample Size: 116602.391\n" + ] + } + ], + "source": [ + "effect_size = sm.stats.proportion_effectsize(0.0121, 0.011)\n", + "analysis = sm.stats.TTestIndPower()\n", + "result = analysis.solve_power(effect_size=effect_size, \n", + " alpha=0.05, power=0.8, alternative='larger')\n", + "print('Sample Size: %.3f' % result)" + ] + }, + { + "cell_type": "code", + "execution_count": 52, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Sample Size: 5488.408\n" + ] + } + ], + "source": [ + "effect_size = sm.stats.proportion_effectsize(0.0165, 0.011)\n", + "analysis = sm.stats.TTestIndPower()\n", + "result = analysis.solve_power(effect_size=effect_size, \n", + " alpha=0.05, power=0.8, alternative='larger')\n", + "print('Sample Size: %.3f' % result)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### R\n", + "R computes effect sizes with `ES.h()` and solves sample-size requirements with `pwr.2p.test()`." + ] + }, + { + "cell_type": "code", + "execution_count": 53, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + " Difference of proportion power calculation for binomial distribution (arcsine transformation) \n", + "\n", + " h = 0.01029785\n", + " n = 116601.7\n", + " sig.level = 0.05\n", + " power = 0.8\n", + " alternative = greater\n", + "\n", + "NOTE: same sample sizes\n", + "\n" + ] + } + ], + "source": [ + "%%R\n", + "effect_size = ES.h(p1=0.0121, p2=0.011)\n", + "pwr.2p.test(h=effect_size, sig.level=0.05, power=0.8, alternative='greater')" + ] + }, + { + "cell_type": "code", + "execution_count": 54, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + " Difference of proportion power calculation for binomial distribution (arcsine transformation) \n", + "\n", + " h = 0.04746819\n", + " n = 5487.731\n", + " sig.level = 0.05\n", + " power = 0.8\n", + " alternative = greater\n", + "\n", + "NOTE: same sample sizes\n", + "\n" + ] + } + ], + "source": [ + "%%R\n", + "effect_size = ES.h(p1=0.0165, p2=0.011)\n", + "pwr.2p.test(h=effect_size, sig.level=0.05, power=0.8, alternative='greater')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Summary: Power and Sample Size\n", + "\n", + "| Operation | Python | R | Notes |\n", + "|---|---|---|---|\n", + "| Effect size for proportions | `sm.stats.proportion_effectsize()` | `pwr::ES.h()` | Same Cohen's h effect-size concept. |\n", + "| Solve for sample size | `TTestIndPower.solve_power(...)` | `pwr.2p.test(...)` | Both compute required N from effect, alpha, and target power. |\n", + "| Sensitivity scenario | second call with larger effect | second call with larger effect | Both show lower N requirements for larger effects. |\n", + "\n", + "Both libraries provide practical power-analysis workflows; R keeps them in one package family, while Python composes them from statsmodels utilities." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.12.7" + } + }, + "nbformat": 4, + "nbformat_minor": 4 +} diff --git a/python_R/notebooks/Chapter 4 - Regression and Prediction.ipynb b/python_R/notebooks/Chapter 4 - Regression and Prediction.ipynb new file mode 100644 index 0000000..64c9286 --- /dev/null +++ b/python_R/notebooks/Chapter 4 - Regression and Prediction.ipynb @@ -0,0 +1,4209 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Practical Statistics for Data Scientists (Python + R)\n", + "# Chapter 4. Regression and Prediction\n", + "> (c) 2019 Peter C. Bruce, Andrew Bruce, Peter Gedeck\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Loading the rpy2 extension in a notebook with the Python kernel" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "import sys\n", + "import io\n", + "\n", + "stderr_original = sys.stderr\n", + "sys.stderr = io.StringIO()\n", + "\n", + "# Loading the extension without noise\n", + "%load_ext rpy2.ipython\n", + "\n", + "sys.stderr = stderr_original # Restore silently" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "%%R\n", + "suppressWarnings(\n", + " invisible(\n", + " try(Sys.setlocale(\"LC_ALL\", \"English\"), silent = TRUE)\n", + " )\n", + ")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Import packages" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Import required Python packages" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [], + "source": [ + "from pathlib import Path\n", + "\n", + "import pandas as pd\n", + "import numpy as np\n", + "from sklearn.metrics import r2_score, mean_squared_error\n", + "from sklearn.linear_model import LinearRegression\n", + "\n", + "import statsmodels.api as sm\n", + "import statsmodels.formula.api as smf\n", + "from statsmodels.stats.outliers_influence import OLSInfluence\n", + "\n", + "from pygam import LinearGAM, s, l\n", + "from pygam.datasets import wage\n", + "\n", + "\n", + "import seaborn as sns\n", + "import matplotlib.pyplot as plt\n", + "\n", + "from dmba import stepwise_selection\n", + "from dmba import AIC_score" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [], + "source": [ + "%matplotlib inline" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [], + "source": [ + "try:\n", + " import common\n", + " DATA = common.dataDirectory()\n", + "except ImportError:\n", + " DATA = Path().resolve() / 'data'" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Import required R packages" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "\n", + "Dolaczanie pakietu: 'dplyr'\n", + "\n", + "Nastepujacy obiekt zostal zakryty z 'package:MASS':\n", + "\n", + " select\n", + "\n", + "Nastepujace obiekty zostaly zakryte z 'package:stats':\n", + "\n", + " filter, lag\n", + "\n", + "Nastepujace obiekty zostaly zakryte z 'package:base':\n", + "\n", + " intersect, setdiff, setequal, union\n", + "\n", + "\n", + "Dolaczanie pakietu: 'lubridate'\n", + "\n", + "Nastepujace obiekty zostaly zakryte z 'package:base':\n", + "\n", + " date, intersect, setdiff, union\n", + "\n", + "Ladowanie wymaganego pakietu: nlme\n", + "\n", + "Dolaczanie pakietu: 'nlme'\n", + "\n", + "Nastepujacy obiekt zostal zakryty z 'package:dplyr':\n", + "\n", + " collapse\n", + "\n", + "This is mgcv 1.9-4. For overview type '?mgcv'.\n" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "%%R\n", + "Sys.setlocale(\"LC_ALL\", \"English\")\n", + "# Install missing packages if needed\n", + "packages <- c(\"MASS\", \"dplyr\", \"tidyr\", \"ggplot2\", \"lubridate\", \"splines\", \"mgcv\")\n", + "installed <- rownames(installed.packages())\n", + "to_install <- packages[!packages %in% installed]\n", + "if (length(to_install) > 0) {\n", + " install.packages(to_install, repos = 'https://cloud.r-project.org/')\n", + "}\n", + "\n", + "# Load them all\n", + "library(MASS)\n", + "library(dplyr)\n", + "library(tidyr)\n", + "library(ggplot2)\n", + "library(lubridate)\n", + "library(splines)\n", + "library(mgcv)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Defining data paths\n", + "If you don't keep your data in the same directory as the code, adapt the path names." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Python" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [], + "source": [ + "LUNG_CSV = DATA / 'LungDisease.csv'\n", + "HOUSE_CSV = DATA / 'house_sales.csv'" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### R\n", + "R mirrors the Python workflow in this section using idiomatic statistical functions.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [], + "source": [ + "%%R\n", + "PSDS_PATH <- file.path(dirname(dirname(getwd())))\n", + "\n", + "\n", + "lung <- read.csv(file.path(PSDS_PATH, 'data', 'LungDisease.csv'))\n", + "house <- read.csv(file.path(PSDS_PATH, 'data', 'house_sales.csv'), sep='\\t')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Summary: Defining data paths\n", + "\n", + "| Operation | Python | R | Notes |\n", + "|---|---|---|---|\n", + "| Base path setup | `Path(...)` / explicit strings | direct path strings in `read.csv()` | Both point to the same chapter datasets. |\n", + "| Dataset loading | `pd.read_csv(...)` | `read.csv(...)` | Equivalent import step with language-specific defaults. |\n", + "| Basic preprocessing | pandas column transforms | base R column transforms | Both align units before analysis. |\n", + "\n", + "Python makes path handling and transformations explicit through objects, while R keeps data import and quick preprocessing concise." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Simple Linear Regression\n", + "## The Regression Equation" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Python" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "lung = pd.read_csv(LUNG_CSV)\n", + "\n", + "lung.plot.scatter(x='Exposure', y='PEFR')\n", + "\n", + "plt.tight_layout()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We can use the `LinearRegression` model from _scikit-learn_." + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Intercept: 424.583\n", + "Coefficient Exposure: -4.185\n" + ] + } + ], + "source": [ + "predictors = ['Exposure']\n", + "outcome = 'PEFR'\n", + "\n", + "model = LinearRegression()\n", + "model.fit(lung[predictors], lung[outcome])\n", + "\n", + "print(f'Intercept: {model.intercept_:.3f}')\n", + "print(f'Coefficient Exposure: {model.coef_[0]:.3f}')" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots(figsize=(4, 4))\n", + "ax.set_xlim(0, 23)\n", + "ax.set_ylim(295, 450)\n", + "ax.set_xlabel('Exposure')\n", + "ax.set_ylabel('PEFR')\n", + "ax.plot((0, 23), model.predict(pd.DataFrame({'Exposure': [0, 23]})))\n", + "ax.text(0.4, model.intercept_, r'$b_0$', size='larger')\n", + "\n", + "x = pd.DataFrame({'Exposure': [7.5,17.5]})\n", + "y = model.predict(x)\n", + "ax.plot((7.5, 7.5, 17.5), (y[0], y[1], y[1]), '--')\n", + "ax.text(5, np.mean(y), r'$\\Delta Y$', size='larger')\n", + "ax.text(12, y[1] - 10, r'$\\Delta X$', size='larger')\n", + "ax.text(12, 390, r'$b_1 = \\frac{\\Delta Y}{\\Delta X}$', size='larger')\n", + "\n", + "plt.tight_layout()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### R\n", + "R mirrors the Python workflow in this section using idiomatic statistical functions.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "%%R\n", + "plot(lung$Exposure, lung$PEFR, xlab=\"Exposure\", ylab=\"PEFR\")" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "Call:\n", + "lm(formula = PEFR ~ Exposure, data = lung)\n", + "\n", + "Coefficients:\n", + "(Intercept) Exposure \n", + " 424.583 -4.185 \n", + "\n" + ] + } + ], + "source": [ + "%%R\n", + "model <- lm(PEFR ~ Exposure, data=lung)\n", + "model" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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ewOIBLB7A4gEsHsDi/R8XDWfzVr29WgAAAABJRU5ErkJggg==", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "%%R\n", + "plot(lung$Exposure, lung$PEFR, xlab=\"Exposure\", ylab=\"PEFR\", ylim=c(300,450), type=\"n\", xaxs=\"i\")\n", + "abline(a=model$coefficients[1], b=model$coefficients[2], col=\"blue\", lwd=2)\n", + "text(x=.3, y=model$coefficients[1], labels=expression(\"b\"[0]), adj=0, cex=1.5)\n", + "x <- c(7.5, 17.5)\n", + "y <- predict(model, newdata=data.frame(Exposure=x))\n", + "segments(x[1], y[2], x[2], y[2] , col=\"red\", lwd=2, lty=2)\n", + "segments(x[1], y[1], x[1], y[2] , col=\"red\", lwd=2, lty=2)\n", + "text(x[1], mean(y), labels=expression(Delta~Y), pos=2, cex=1.5)\n", + "text(mean(x), y[2], labels=expression(Delta~X), pos=1, cex=1.5)\n", + "text(mean(x), 400, labels=expression(b[1] == frac(Delta ~ Y, Delta ~ X)), cex=1.5)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Summary: Simple Linear Regression\n", + "\n", + "| Operation | Python | R | Notes |\n", + "|---|---|---|---|\n", + "| Model fitting | `LinearRegression().fit()` | `lm()` | Both estimate slope and intercept via OLS. |\n", + "| Fitted line | `ax.plot(...)` | `abline(...)` | Equivalent line overlay with different plotting APIs. |\n", + "| Slope interpretation | manual annotations | `segments()` + `text()` | Both illustrate geometric meaning of coefficients. |\n", + "\n", + "Python uses an object-oriented plotting workflow, while R keeps formula-based modeling and graphics compact.\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Fitted Values and Residuals" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Python\n", + "The method `predict` of a fitted _scikit-learn_ model can be used to predict new data points." + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [], + "source": [ + "fitted = model.predict(lung[predictors])\n", + "residuals = lung[outcome] - fitted" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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x5TzwRf3ypUL9iRyfcu4GXdvKMjm2EtbN2IcTDMMHH3zg9/O4uDg2JwGLL9BZvWrVKrAlVmSR4jFTlY5MdE7El1Iq6Nn3TMayLIIiGpR3Vlzbo2HQfiGf+UyEOPuZHTKsWRJTSmE0Q2xAeVRKGYFHdY5TlW714eQnIkE0QBFiVUwpb/UQwKNSygg8qnOcqnSrDxkGO4FDMAmpQtE685kzREVI9Zxe0Pq9601RhNgBHpVSdjmPOff1gKuzm5p6TDyetxIaSuIZdJi93kWoT8QwFwF+SeDnfzlk7j5MdiSjImTXoTNwWawQ8UypCEElEFFPKTVdVkpltxJEG+EEj+eRgnGP7r8S4GVheflD/SArM9P2562EDAPvWJH5zMx96HAkG1ZraFScNAjlHAw/ihNL4UgpFU6ZCjURLR9HVpr6l31DQ2KEQ/uRYbATVRUAHw0X6kPfCflYuKVqDbPjSel96Am+sEJ9F5Mo74OHHw4NgAyDnagsBTi4Rq6HmWHgUaUioYw7xUsMKo6UUtyryvSq71wGjkn3PvhtPzIMdoLXkBgLbhDqYzb4dYqLao39Oeow6KjWQMccD2oNruBIKdUgRFUZT3hqofLMEaiqqYXTZ0ogu1Wco9qPLzNF2BAPwOn/CUVDSAwrFCEEEVAZt2Q7xJz/GRKLc2Dw7E3alHEmxwWzEjIMBFdIihCQFSGhjkvk1flMhBc64hhNYLGS1IIMzbGSxLhgYR7dmIaSeEbMIiXWw3UfVihCnAiPSikjWKEq06i+E5VxTRWJc5gAwhNnQvwmftuPDEM4ZJEK933YIqYUh6okHo/JKGarynQq4+IUyjhlPahxjDhuPzIMBH/oVYRYFVPKWz2U8HhMYY6lyrhoftuPk7GD8MT0rFN6QcVPdF0xMSSG+eftAbhwWigm5HAg7IEZ9yGP8ZtCAfUYDKoW0EGljCWPNw0qZ4LqJMVxx7nXCHWcPRzoZY9jlE/nmbYPY+ftAkgRwwlo7C57agFOfi/XCaLB96G+7GoPzjmgWOPiKruaFVCPgeusU+ZmP9O7D0PnjYZm0h6hmNWL0aE4sZUqicdjssHzN2XFXjjrln8zV0CMtuxqyt89rvBuPzIMOhFVCxi/x1c8n9CGxBghFKyH63kbeWBQcWJmzCeOHYVOwvB9KKrvsPgRKDToPo9JkveB9TCGhpJ4zzqlh6oLAPv+K9R/Myuosym5Pm8r4NFRaBdjpUNVZvg+1Ki+E/9/LFRK65R1v/e5XoUfx+1HhsFO8Xxqa73XQ3neVeUAiwYL9VGr+Xmp2gEejZURdKjKzH7+LM2uFs1v+9FQkk7srFo4crYs+OctOpJPfg9HzpQG+5AJDW1nJ/Wd2c+f+P89LtmJXQ1R2v6/KOTAotNnYGb7GYEMgw2zL+mLCbNDWg4UE0bveev9/2EzAYuDyVhWXFvcB/7P/q9uhFGLtsMNr3zFRfsZev50xDGaYzReF/5fMS5YgH3w/myQYWhI9iWQsy+ZE8+nLvsZy4DmMkXdseXQOfi5tjUrHnD5VXfoPW/DMWeU6iVeUpQqfZEcTK3Aa/vDoZOqsA3BVsZZpr7TqSoz9vxpV9+lYLyuu8WsgwArxvTQ+Hxrv0msaL+GQD4GnrNO6ch+phdRfQEQAwMr63IYIoGypWk8b8PZ2LiNKcWPo1C8to0V62rBFdRrK98fYH77IQ1QlJny/FXJv/gzk8Kv/RoK9RgcilLdcSTu96xgXam+MCMbm6b/L6pUsGh50YtqECxmOfE4chSK1zZCYXSV9Ya2nRX3h5M5akH7NRTqMfCcdcrEl5dhdYfG8+ZavRXmWHFtuW8/s58/l3nZ1bi/tmQYOM86pSP7GSM2CWBqkS71xb6cX1RRJCtd8f6zpWk87wZlY0Ml09Fv5DoRvGurcx+7co6btg+un7+oOO/1IBAOmQppKMlG2c/0giqLXgr1hSvI6ir8P93apUvL5RBrjnrLisxZleXe6yECr+GvsuQXSBxUBv3a2kV9Z4gYAwIIHSExrGi/hkBDSXai2g3w6UShftvrAFGxgdUXw64EeEVYXv5QX8jKzAra4UjqkemyeiS7VXMTEpjUKU7Euhm4PN7rIQKv7eyh3QDeEJY/GHMNZF7SMej7MNR+XFKn8BPrZhCdKO8D6yFuv4ZAhoH3rFN6qCwF+OF9oT5oWkDDoHfss6HnbZp6y+Kscqp6KFGoozKbmn//mdZ+RlRleu9DvQq/KkWsMa1xx/Tuw+L20wMZhobAwUQnq0JiGD5vDImhrPNgQO0CR0qpkGQRNPP5c1kgT+a4/cgwOB0T1Rd1/9RHneC/7ThV31lBlKK3rbXnrTcumBXtZxC+jiZM4S3OiVIrHRBlBNYgRmMN1v/XfB5mo/h1ejTfxPDeejC77ZTqHyxm7cMKKsugcvbVcOG1nnAk7+KJe0G5B90XpLhgrM5D+xmEDIMBrItzUpf9jGVAcwU8pofe2yUt3zHvW43HpH0fll3bpfuk5Zvn7Qh5DBl2bd9VXttvQn5MPCqleFWVCc/rdog5/zMkFucEfF4Lyyph4jtbpOV7563X2N4646Zw3H5kGAxgOAaQXnRkP8Nj2n7knP5jsiLDmunX1vyYUtuOnJeWA8WUsgzOlFK8ZirUe09NWLob9ubmmR/HiOP2I8NggwxuDTomVHe81EooZqTF1JGNTTyPKo8Lfqhtx0otRAQ+D1ENoiUvtk7EY7rgiValeuQiY58Vgf3Mvj84ezYsfb49PuocQIZBJ1oyPFmNPAbq/U4LeEw4fq5V4aE3jpGB88AZ2N0iDrGCdR6uraGYT3ZBz/1hFRrvQ73tJ24fA/KwkbLuiPYmVZJ+RK2/G2Kkdcp6UOOcaFQ5iMeEM4tFlHW/x6RXTqoj25ZexPOIBFlqq6yHIoZMOMS1cSQa70O97SduXwlyD1FZd0p7U4/BYJyT+hcOR7Yvb9kIamo9UFvrCU4mLI3Zz+SsVsqjcmnLOqXoMh8149eQjtAChrNzNSBzViDEY0pwKXuIbj4y9tU36mGYkc1s9N5T4vZVLlklVAGx5rS3wfazAprHYACMZ/KHxdWQnVs3y7iOA6dKYMBrGyExJhI6p6fAFa1ToGubFMhKTYDX1vwMXyuSnuBNhv/HV/IPVEY8/t4OeKtuGZUUV7fP8PkdXP/ku8UAdbk/YqAarg4QewX38dR7u2CeQsl0RftTfo/LbHDfzy3JBzglv4QDx5Cpiykl1k04pmffzgfIF5Zd4OIjro1yHLzemLiv9kbHqjLPQqD70A7g+U1+pxCgzp+MV8pf+81h92CedA8imtobe9tM3VdXD3L7WQkZBgPgQ/TxmCvhwjv3wfnyKljVYSacvOCBPSeKYO/JIrhQWQPbjpxjxRffHDwN49/fBe/88Rqvn+MDvAuVFIq5NaIyArNJeTumfwztAPC6sPzJn3pAVtvL/J4H7mM/HqPGfTDQAfl6F6E+EZVMwf3FjOfx+j1yDJkPx/QOeQwZFtfm/j5STKmlD90Q1JhSVs0d9JeRzWd78xrHSMd9yGKCjeorxXxa/shNfmM+peA9eOflAPOF5Q9HdYeMyzX8CBAVfjaY+0mGwSiVpZCYux7wdnzwgRYAic3Y6uqaWvjl9AVmJH46UcQkpHtPFrMkJ/vj/sC26VjxLyiHONaD+O3fv2H5Zbu0FnoY7ZolMgeXoexntTVSNSvF/2xNUX3R1EiGNT3Ztqor1HWdhiSzSegltIZiSnEWv8nyjGxWZCo0mPVNU8ynCPnVmNG0ETgm/lYdZBiM4qMbGBUZAZenNWLldz3bsLFcTKSOhiC7Qj30hPx4vIgVERyGat0k3quSAv8HgoajoQ+xrL6Qx86V9WDsg/fuctijI56PMiNb/R8ofttbVP+IdacQGe297g/0E7z7O6F+/781hMTgJ11sfcgwhPjX5ZM3d4BTxRXw4/FC2JdXzIahfj7l29GM4OOJDu6IiHo3U0Sk97qf46pUKKqU9aCpL4wECuMxhkx1pfe63TP2mahCsxRss9hkuR6o5+oycA/i8JaYYArrge53CqJnb/DXWJaPhOGiygHHcpWTZsRsTWOvv0RapxyGQmf1+aIKr/LTkYu2Cw7u1ilsCEoahoqLkdRSR4trIEuZbTycskglNvVeDyVRMd7rQQaHfPB+whd1wDaoH1LBz8uuIRnZdB2TFZkKjYBt5i7W0X61PupB7B3raD+roR6DAfSqeXA9OviUY7zeVA7KYaibOraEx97bDHBC/jw9JR6aN4ph6ifm4D58jhWR5hHFsD1GPqZ2WSdgwYiroEmi9wcB9//Ye+XSPkzLsGY6dfGexLpZ+/BaDw6GFEM6QypMG9IZ7vl7vkq4lRwfBS8NuSJ4x2QIc1VlhqhSyJ7NmtzHcUgMMgwG0KvmwYcI16ODD8dytfzy8pc9S9mz2HO8kP3dfawQSmtlA4Av+R1Hz8NVL30JPbOaSD2LLm1SoG1qIhuGYvu4r5Oktvn8oauCr7bRnY3NgEpFrxrECDHx3utBwpBiSGdIhSkr9kJJRbXqvi0ur4anV/zkdR9MGZdzHHbGTmDL/dyzOVExWYDHRz3c9mEQMgw6aYiaB9fr6oorYuFnN2vk08GNx9T/1Y0XhelAxyJOuKvfs0iKjYJO6cnMUPRMrYZb9KhtjGTb0kt1OcCZg3Kdg+B+xgycNqxQDIn70Kp0U26f6iox5ZgahN77UG/7VddT0zkMMgw6EdUd+Iu8zBN70fh/0NQ8ylj4Go/JV5iO0f3asl4G9izQwV3qrpaMxSo4DbfUTfIcu2QzpGe1v6hnEZRsW3rA7HOeGvMz0XGCYcWQoX1oU7rp3d5yzL4Po+K81x0CN4bhr3/9K0yePBkeeeQReP11YZZWRUUFPPbYY/DBBx+A2+2GQYMGwbx586Bly5bS93Jzc2Hs2LGwYcMGSEpKgpEjR8KMGTMgKsqcU5PjEsVBJ/eiiz4PZTwfZcC5OMVDfH/vLOkhFoehUAWF8yxyjkUD1I1gfH3MDaXHDnvtWfg1FkEKiWEYvZmzjO7DWz0IGFYM6chLLO6jRhHMRVn3FTNI9zHZhWgL5hgYySvtJMOwfft2+Oc//wldu3ZVrZ80aRJ89tlnsGzZMkhJSYHx48fDnXfeCd9++y37vKamBm699VZIS0uDzZs3Q15eHowYMQKio6Nh+vS6wfkgE0hlFIpfUd4URi4fx6Qchrr7qgyAyraSH+ORmzrC8VKX156FL2MhTsrTZSyC7fgTY0qJdTMwcT6GYcWQ4lxzz5VCZhMt+3CrgsP52gfXqrUG4k9F6I3c82WQqUUcF5MANXFN2XvhZAlAdqB96Gg/qwm5SLy0tBSGDRsGCxYsgCZN5CtTVFQECxcuhNdeew369+8PPXv2hEWLFjEDsHXrVrbNmjVrYN++ffDuu+9C9+7dYfDgwfDiiy/C3LlzobLSPK05qjLw4VBiippHRyx83DfOoNZzTPUz0b229mc4fKYMFj3QC36aOgi+mHgdvPy7rjCyTxZcmdkY4qIjJGOx8JvDMPHD3Sw2VNfn18DQf26BF1fug//uPgG/nC71GUgwbJ1yJvd8sJ16t0vV3H4sy9iHP0jL9yzYGjDLmN59GLmnjGEgi6COrG96swIWllXCEx9sk5ZHLAicoRG/M+KdvXBJ4d/hsqK5cP3sbYGzxOlsP0f1GMaNG8d+9Q8YMACmTZsmrd+5cydUVVWx9SIdOnSAzMxM2LJlC/Tu3Zv97dKli2poCYebcGhp79690KOHObJLpjIa0RXK3v09lFdVQ8lvF0F2mvqBCxoapXIsHsywKyWF0fKH+gZUGDF11aETkkoFx7iVqhNVz8LLMJSWnkWvFgCP162rrSyHCI602jzhT4Xms+1yL0ht54bYgIohvfswck8ZwpCqrC7rm1j3g964YxOW7objx4oU20cEvLZ6VWVG2s8xhgF9B7t27WJDSfXJz8+HmJgYaNxYPUsLjQB+Jm6jNAri5+JnvkB/BRaR4mJ1d1kTnhpIOLoO8LdjalP+nFOBxohF1Um6yi9RCef8qE4uGoaqMxY5p0thz3EhNpQQSFA2Fj8fLoHH6y7PtS9vgDbpbSR/BQ5D6fZZOAR/8XzEtmus+HVdP9Od3xDl4j60hABShGrICkO/glE1VjrIkQMqIcrvtRW/g0rABdGCf3Rs1URwe2L87sNQ+9ndMBw7dow5mteuXQtxcda+WNE5/fzzz4OTEVUnGGteRFnXqjpBY9EhLZkVb8bi2KH9AHW9eI+7FL47fI4VZc+is+izEI1FpEse4+Qlhky123s9hG0XoZiRq6wHVxlnIKQJR4jXKhnkMDNYD6TGitERQ0z8ThMogv6Ru4V6VRHkQ3O/+7Ck/cLNMOBQUUFBAVx55ZXSOnQmb9q0Cf7+97/DF198wfwEhYWFql7DqVOnmLMZwb/btsljgeLn4me+QPXTo48+quoxZGQIL7WwRsc4uJmqE6WxgEs8kmFY8odesLs4WZiYh8NQdT2L+saieWwVbK+zBytzKqBjdmnoexZRsd7rwUQxb4XVA7Sdr5eX37bTGwNI4zHxqioTr1WVIgubsu5LjeVSrFPWvV1b8TsRil6Jsu5rH4baz+6G4cYbb4Q9e9TjiqNGjWJ+hCeffJK9qFFdtG7dOrjrrrvY5wcOHGDy1D59+rBl/PvSSy8xA9OiRQu2DnsgycnJ0KlTJ5/7jo2NZSVYHDlbBtmtQt+YemYMW6Y6UTzkMXFJcPdlGV57FkpjUe0uw3EtxjMf74DzkHJRzwL/ZiuNRYJJPh4r0ThvRWy7wzmnVS8iTW2H+/BWb+AxNQgTVWV673Nx+3M5smw7Hir9Xltv7aFlH4baz4rYVaE0DI0aNYIrrlDHaElMTITU1FRp/ejRo9kv+6ZNm7KX/cMPP8yMATqekYEDBzIDMHz4cJg5cybzK0yZMoU5tIP54m9odjVe49pj7JyRc46o1vmLnRPsmFK+hqF+yTsN55Z1hvKqGriseRrsznN77Vk0UkpnB34tGIuoBHOkdlbMx2hAprtAWckMI6ZNRfDe4uDc9aL3Pp82pDM8MUfp9/QEfC7wO3+ac0DzPoy0n5UZ+EKuSvLHrFmzICIigvUYlBPcRCIjI2HlypVMhYQGAw0LTnB74YUXTD0uvSoHw+iNha8zHjzGzil112iOnaMXIxnimIO7ZTJAY0G6/OH9faA6Ilbl4P6xrmdR4sdYdK3zV1zUs+AwJAbfme60q3947R3jfc56obHy5M9Tfu7zKWx7t7R9LFQFfC70PktG2s/KDHxcGYavvlJPcUenNM5JwOKLrKwsWLVqFfCqcmgQemPhYzdcjAcfoEveoAxuGhD/fyuF6glVG9qUM+q49lGJ8X4d3Eo1lKXGItjgeb98qVB/IkeX8dGc6U6vgePMIOrtHcsqI32qpE6KV6MbojWpkrTuw0j7WZ2BjyvDEF6xkrxnZAupoqD+jGE/D7F4HsWQCI9X/UmqB+s8AsVv8vv/8dedsp6oXw2ltWfh02dhYUgM9X50hHg2EuiN46xhZiDeh/XDxYj4UgyBj1mW/lRJWvdhpP2siKelhAyDTriOIaNjxrB4HtUQBf+u+XXQz0OOzSMrWZR1v//fYCx8f8YC06f+pHJwl8KHeUMB8gA6fiM8YH6NhV1SlDZAfqo3lAQPiPchzhMQUdZ9KYZqFfeqsu5PlVQG8vVU1oPxTrD6vUOGgedYSTi08HoXoT5xT1C78Wafh/fYPFEa/3/wYmIojcVQpbE4cRqKProE3NU10LV5Y9idV+m3Z3FN8xoQBc61UfGhjyVjQQRQvQmpGoReVZnGrG/eVEnFkKRLlRQRQDHk7V4v8rMPI+3XkAx8XBiGEydOQOvWrcHOaM3IFhTKzoJZ4PE+8v4OcB1ax5Y31XaFvpemBe086meIQ3jIEMeMRWZLgMd3seUP64zFwYJS1qNQ9ixEY3HwcBE8WvfsXv/qV9AqPUP7MJRZmKyUMiIeMAT+4PnLIdOyvuH9Nvmd86x3qDVG1IxFBwHqHu9qiAh43xq613W2n5XPU9AMA0pFcU4BBr4rKzMpFR4nGMnIxut5LB7RFWD6zWz5yJ9y/MbOMfL/3xrRE2CGsLx6wrWQnS7MN+ENNBYdWyWzouxZKI3FHSdWMWPhrq6F3Ib6LEKVblSjM1l0djZRvHSxxlPYBq3ojfmUkhANf/3dlQDzheWFD/SBjA7yRFxf33lr2BUAM4Xlz8ddA1kZbYLafnpjXVlmGM6fPw8PPfQQm0SGcYz+7//+j4XCnjp1KrzyyissbDZGQHUKujOyhXF8HsMoHLXZyeHl7NRiLOr3LKxVQ5kXhlZ0dvp6dfEQtkEX5UVSNSteQwTTanlYKKORxoHDC3LvPiuuzPT2M+V5NWIY0BBg2OsHHniAhazAfAmff/45m2uwfv16aeIZESI4m4TFdZIUjWPUZhiLzq2FnsVFxsLIvBVv9SCokmQnrDLQm8scZ6fO+TeGiIz2Xg8mtTXe676wSulmtmFYvXo1LF68mOVHwJ5Cu3btWB4Es5LiEAbj2ov1cDVWsQne60FF+xh1MIwFqqL25wnGYuuhc6x4NRY93hSMRWRcYAe3EaWURlWSN4cqyo1NcXbqmH9jGL0xoqoNBE1U/N9jhW7IUAd+Dk77uSKhLKs/iwpQcq4CstM4CIlx8uRJ6NhRmJ2XnZ3NJqDdf//9phwYYVVcew6JTpRntWI9DAmqsfA1DGXAxaAHwWlbKDltUZt/9aVC6JewQ2+MqEh9PQxUcE39+H8gBN0GuGfR93Bp+0r/Ci6d7SeExPgRNh38o7Di9a18hMTweDyqXMoYkiI+PvxC8YYN+AskvYeOoYUKgI+GC/Wh72h7AHgEz7VxpvbzDmNjUYXS2Tpj8b+j+fCXPbcCJr/r6Z4PWw8JBsOXseiedAEkF6rHLKdtD8lpu8KsRD1W9I71zo2pqfBe96PgOpx7Xp+CS6eLgduQGGgYMCqqaBzKy8vhtttuY45oJZh8hwgC2NV/8CsdDVQDcHCNXOeB+uOoWuZiVJbK54H1cDVwGohWGAvo2hRgj5u951A582NBlRR51lvPIh0KYHPdpZmz/iBkXhoV2MHdgJAYXE1u09s71uvnjYzzXvdCMEJiBILrkBjPPfecavn2228P2oEQIXoJR8YA3PKKXA82RsZR67+8wnM0qUF0SGsEHTITvfYsRGNRmCf/ely64xic3OH22rPo2qYxcyYLDm5nhcQw3GPwaL9vRQVXYyiR1mH9JLQIEBJDux9D3EdTKIJdcWNZ/cqK+XAOUvzvIxSGgeAMIy9hHD/tNca0Q4KISO91PYaBUPUsJGNxKlXS2t/dvQVsPNs4oM/iyrQY+EvdulotDm69Tlte0WsQIyK81/0ouMoVscCUdd8KLqWjvTZ8Q2KgJPW6665T+RkIE2lALHxu4toYynwmG7Vj58sCqzvsouDSSbRCVXTX1e1g0iUdWc/i4KlSSTZbfxjqh0MV8Je6kZFe07+ES9u0ZD0K0cEt9SyMOm0NUhMZD7UeD2z75Qz07ZgY/KxvipAbRyviZd+MT1xS7XhhBbTxE8zBW9iNIkjWEBJDPubcEg9ktuAgsZZ4aHo2vummmyAvL0/KlobzFj7++GPbh8AIHdpj4RuOa4N666ObhXrWr7T/qjcJPI/pH+8RJ5DCyMXboE376uArL8JcwcVUMB/ullQw9y7YCpe2L2HXCSfVYRl6tTwMhcZi2+Gz8OFXuzC3JaO2ssxnz0I0Ft2aVGl4iRrn6NkLMGTut3C+bKGwYslP0CThAHwyrh9k+JvApSPrm95no7CsEv62Yq84YR9Gv7MTWraP9HsP6g27wY5p2f+kYxqy4Hu4oq79grWPhhCh1/msZO/evSyBDhF6ULGwHePaeFEs+AXD/S75jVC0hm42cXgLz+P7Y+f1n4fDwOu0E1UwGq4TDkOhoVj/v9NwplT5vHrY7+JWKXHQLaMxxERFSD2LNzcdgglLv4ch876Vtp617iB88sNJ5uisRelUEBCMgnomMi7/dm7dvIYQPBsTlu6GHcdLpeUqiAp4DzIF1z2dpeXlf7qaKYV8veRxH9uOnFe1hKZ9YGgPcR8P9fW7j4ZAY0I2wOykO0F1iMcmBTyPdjyehxVonPksXyfZkOMcAy3JZNpBscpBeg4aQ15RBbw/pje0aRKvGobCfBb78yLkvCNbzgvFS8/C6zBUADYeKLjIKIjg+q8PnoZr2zcsFpB43tkgv+iT4QKc86QESNRTKa2Lgypt96AyJEZMmYbnVe7puMCj+z4P5HewzDC4XC5WfC0ToU4eJI/hK+vhEtdGPI8KxbFXmHUeeseorUBjxj4j10nrd3wNQyl9Fvs0TMrr0qZxQGOx+3gh+5sGZ2Br3ARW713xBuRDM1bflXu+wYZBPO8IkOXbyrqvRD1RCsOgrPu9B5UScT9ycXEfySpjVWqawsjyeQwYRZXmMYQe5S+Hs55GfCUP0hESQzwPXy+voJ6HjjFq3jBynYyqWsRhqIYaC289i+5tGrNtIhS/nJX1KzOFvN8NQW/MJ3H7WNERU6/u9x6MiPJe93FMvs474D7imwTcR0OheQw2QJl0p6f7n6YrFsw+j505lXDcI/xqLIO4sDsPq67TPoVCBQfftCSTUapa0JgYubaBjMX/cvPh2T0DpPSTF83gjouCK9KF8OSJMZGYwekimiREN7i3oDzvwzny5LBKPzGfxO3LcuRxe8xyqOk6xQm/+JHc8mjIDHBMJ3NOqHwMmvaR0ATgySNgNjSPgWtccsygAJJKS5MHmYhwHgD9Dr4hrbsuDM/D7Ix99ZO24EteSzIZs1QtSmMB3XAGt7D+P2P7wh6cwS35LIqhpKIathw6ywoiv04F0FjM+/2VbITC71C1xqxveH7TFh8BKBCW46AyYKKeOQu3A5yVewyBrpM/lZg35zCuf0lxTOhj4Ol5dXnqS438UFBQIElVvVFdXc3CYfTqFdy4HWZTXFwMKSkpUFRUBMnJyRDO6E4ehC+j6elC/amTQU0fKmWgm9lOqGOWLi0Pc1UFlL37eyivqoaS3y6C7DSdaR+1YPZ5W3FMimt7dPReDYlhAKD0NMArlwrf+cOP5sQ+8nMeyp7FjycKYc+JYjiRdxJ2RAmB4bpWLIDiuqnuyp4Fm8GNw1CpCcb8mqf2A8wX0gIcu3dDwMQ7cPhbgCW3sOqJIf+B1t1v9Lv5iIXb4HDOPvg69hG2/KuK1+GUqyV72fuMY6T3mCx8z+nqMbRq1Uo1j6FLly6watUqyMgQupNnz56FPn36QE0NJ3F6nEZVObT9dCi0FePaayEiGuCmF+R6sKmt9V73R2UpJBxdBzgSm9rIhOhwdkFxPbOaaJw8iIEWxe9oTUATxNAsXoehigsAXhM+v6dnK9hWEOG1Z+HNWGhWQymOKUPLxE+PfG1bJ/sPFSMrmdSKr5OeFv5VRkaSASkMOzyeA5DEQQa3+p2LI0eOQFWVWm6mowNCBBsjce2jYgD6Cr9yTMFISAWKlaSN6krv9WCHKNGNvnjS0ZHycTx9SyeAxFTWs/j5VInCwV2syVgwRZS3noXe+zBCmyNZqTLyFeDCt8rIvAx8DSXobm2Sr4Y+yxhXGAmpYCTmkxE0jlFzCxp1b3V/xKd4r4c090HMRXXsWXROT2HlnqvVw1B7ThTCL0cOw1N7fysFk9tySDAY9Y2FmFa1e1IcZEjn3TTwMbm0GxJRZVQMcldEWfepMrIiU6FBaIIb1wQvy5jfkBh5u4V6q+6mhsQ4crYMslvpG8vPPV8GmRqeY93g8Ab6PGwCN7GxjKCccc/qF0uuL3ZwpwLsFda/O/YGycHtq2chRCUVtp+96Ri0ayuEKPfps4jWlunOl/IJtKiMEpp6r3OA7gluJSUlLHObqBgoLS1lTg1E/EuEEfggLuhvihMWlRqPv7cD3qpbHjx7E1zdXsgA5msav151h1MxHBvLhnRqlQydshJVPQvVMNTxIjiVL4fEXrL1KJzbKkyuS8aeRd3wk+SzSE0Al84MbnjdX1icK6mMoqGaK5WR6T6Gyy67TLXco4d84gHlZYSjwHgw+w+dlLJaxYM7YMYpQ5mwHJixj12nI3nSdcKQGJquU+kZdb2pCWqsBiQD0hxm3c8+vA5DHfseoC5O3wNXRMO6whTYn18CxRXVsPmXs6woh6FubV4Af61bPnGmENJb+H+3oTF+9dYMgEXC8nu/bw9tuga6X03OzWqVYdiwYYN5R0KA0+M3WZEJS6VSefd3Qh0VXLyExNCQsc/S68QrOpLcINE1sippQr/WMCH7V6qeBebfxr9oLEoqqmHfsQK0toyx72yGw3HFkmNb1bNQGovaaqnappGGXlv5OXU9SZjUGXaGoV+/fvDKK6/AJ598ApWVlSw8BibvobzPHMGJE8tI/CZLYyUZUXBxgqXXiVf05vkoL7yo7svB/fOpEij++ieA/cK6TlFH4ceKDl57Fkpj0dNVBXWzN7T56tC/563uD/y/MXXOJBP9gboMw/Tp02Hq1KkwYMAAZgxmz57NJr3961//Mu0ACR1gd/ppxbTWEGIkNo+cCStWivmkNCYhjfnEEQ3K5qUjdpVh9O7DimOKjPVer4doLKB9hmQYXhxyDQxP76fyWYg9C6WxyIYT8FVdL2P+9vPQpvCkfwe3kaEkdFI/JYfS4MIwvP322zBv3jz405/+xJa//PJLuPXWW+Gtt96CiADp7whnZRkTlRq7co6r1muJ5xPuMZ/MztgnX1t5CAUNqGOukyHk5+dkiVv+Ze+LCPnVeLas1mfPQmksCvPl3sTbO05B3o7v/Tu47TKPITc3F265RZgmjmDPAS3hyZMnoU0bDdPxCUdlGasfzwfREs/HDjGfzM7YZ+TacouOyWRGHNao4Hp9zSGYWrc8btk+aLS7md8Mbos2HoFJdcvPrPofuA9uU21ffxgKvzP57VKAfOE7bohhkWXd1bVeHdxoLG5qXgiv1i2fKCwP6ODm1jBgLCSUqiqJjo6+aPYzESIw3MFHw4X60He0TS7CMBi//j+5HkTwIXpr5FUA04Xl1Y9cB9mtmgf8ztsjupofKynMMXJtjThtgzIvIaAE2tec4eCACq6qE2ckBVc0VPlVcE1Yuhsa5cvKuEio0aSmyzlaIH0nBqqgqLIG+lySCpNv6cB6FNizYA7uPEEN9dOx05KD+w+LNkNe3GmpRyHO4s5sWm8Y6gKGxKhThj7+M0AiJyExHnjgAYiNVTi9Kirgz3/+MyQmyo3/n//8J7hHSWhsoBqAg2vkuhZwxuwNk827wq5IgPYDWTW7mfeJSxdBsZK0gS/2WCEYWnaKVkekBRJJvTPXjcx0V4W7cAVUcNWNAAm7AJdPBZe4/c2G1HTKZEC17Dvf5JyBhJgouLdXJtxb91lltTgM1QWePvFrZjAO55VApY+ehXIYqnvTKsgQxRImjj7pMgwjR468aN39998fzOMheM8yphfstQxbpu87VoXE4ETBZRhU47iLtStzkITG3uvBRMesYT2OYSP7EBVcJXURW+vXfWVwq1a8GpV1f2q6WpD9rMp6/e9gbm18yV/RIgbu3T0CuxdQOeUz+PlcteSzUPYslMZCOYPbTHQZhkWL6mZvENZgRZYxjNB55oBQb3Y5gFNEBBwpuByPxpAYRpRMcrY7+W2qrPvK4AY+HMP+1HS6M7Ipnm/MV8SMResULz0LpbEQcnDfcHlzWGRSZFWEYiXZFM1xiarLAeb15isvgV1iAHGOkdhVZu8j2O3tLXMd5nsIlMEtMidCc9yjYGbHUyL1LBTGQlRDaY1gbxSH/Dy0P6iK+OOSHdIyxiXC5CFFZSEWBmDSlpdaCQXrGs7jofd2ScsYA4iL87AyYx/L2qdh/F9nKAm8thMXfikt/372yqBfW9Z+i+omDgLAnbPX+t0HO6Z3NkvL981br+2YdJz7tCGdoXWsfO81hmJIjo+Cl4Zc4XP7ZrHy/0yCMr/bi99JilX7eQJ9xwiiGgqd02ZChsEmoCpiqyLsMCIqKUJOVZlQNJ7H9iPnzD8PVHC9d7dQFMlrQgoOieD8BT9zGBoCXtudGIfKxGurt/0MH1NNpfe6F6as2AtVbrmNUTFUXF4NT6/4yef2F9yyYa4Fl9/txe+UutWCj0Df4RkyDDZAVEWgCsKXkiIcsPQ8RAUXFq0KrjDGimurdx8NOiYvORz8HVOiR46umgylAY+pVscxid+J9Mjy3xioDLvnTwkZBhsgxyWKY44pLFhXqiLCAWV8pTKPUOrHVyLMi69kRXysUB1TFchzdJR1X8dUrnh+Aj1L4ncqUV5Uh7IejvctOZ95R0OWsQbFzuEIOVZSHHRyLwrb87AsY5+OGENW3CN698HzMdX6kJ76UyVp3Uc4ZBGkHgPPiFnGsPhRC0lKinoTfXAZ14dL7JxQnQcqZ7jK2Mey9nnC7trq3Ye4Pbjk36c1EKntmBQ+q9xTat+at31Uu+SeCIarCHRMHsUxVQc4JvE7lS5lLyM28HlofL5DARkGm4BxXFAap0RT7BwMg/Grh4US5JAYlp6HHRRcJoPX8OrspqZeW/xfvdulat4Hrr+yXUtpuRKiAh4TUzJ9UJeOlmX52+K3/VAxlBCrftUFUiXFKRRGOFM6kMJI73nzDg0l2QQWY2h0L+bowjFN7L5q+hWIITEGTjPvwDATWVY/uR4AK2IloRJmFyq4wj1LHKpx6kJiCMqcxIDXdt7wq6F2ViLUegCWj78OsoIc/JLFcHqgF7gXdGMB5FYP/TVkpzUL2vZi+/2SWyS1Hw71+Gs/VAyVuD3S9jUQISmGfG1fi37kuu2rA2zfoNhVnEKGgWcMZBlDY8DV0BEe86jP9H3HUwMJR9cBjtymNg3u/H9RQRJvh+xnqMYRQ2L4UeaoSGgKEU+fZEMFWWYdV3Q8xD60ib1X68yWf6LiIHbkf4TtA4y5y5kB5VdXJUQHjH2UrXA4uzVsf60i7lFkXdyjgPcHPq91ZCe7wjOLYB1kGHjGiixjOIWy6JhQT8mwfUiM+gqu+jgi+xlvoL/g5Us0zb7XmxlQVj55D4nha3tf+L0/dAcP5DeLIBkGp4MhMWZ35TYkRrCxi4LLqRhVGRWBHGdDWfe1vUuxzsVTdjyLCOnPw/nz50PXrl0hOTmZlT59+sDq1atVIb3HjRsHqampkJSUBHfddRecOnXqouRBmEUuISEBWrRoAU888QTLG0FwAobBmNlOKBpCYpitGOJbwVWXsY9l7dMSEkMeujiaf0bbLjCe//NNhIJ1s2S3s7oIRUOoDtWs+AAz5MX2S3TJjuY4qAyoMkp1lahCYgTaPsVVrgqJwcf94RDDgFnf/vrXv8LOnTthx44d0L9/f7j99tth79697PNJkybBp59+CsuWLYONGzeyTHF33nmn9P2amhpmFCorK2Hz5s2wZMkSWLx4MTz77LMhPCviIsrOCoUTxZAVyqcGZezDEuAXpxBTaqf+mFKeumELVoJ14D4y0bFsdFqGVHzUfYDt1EulrvIEVD5dldlEWkaT62/7aUM6Q2SscrJatClxj3gmpENJt912m2r5pZdeYr2IrVu3MqOxcOFCeP/995nBEMN+d+zYkX3eu3dvWLNmDezbt4/lnm7ZsiV0794dXnzxRXjyySdh6tSpEBOj0SFHcIMViiHDCi7OrtN+jEkU7soqAzB11ai+kgJo+SM3+VUA4fav/zYLYIGw/OHwjpDR2fc1mrJiL8QoVEnKWEl+r63uzHX8wo2nEX/9f/DBB3DhwgU2pIS9CEwZinmlRTp06ACZmZmwZcsWtox/u3TpwoyCyKBBg6C4uFjqdXjD7XazbZSFcF7MJzQGN1zeIuyMgl1iYwWL7FQN4/kK525GSuDYSlWeCNWkO03XVhkL2+y42HY3DHv27GH+A0wXiilCly9fDp06dYL8/Hz2i79xY3WWKTQC+BmCf5VGQfxc/MwXM2bMgJSUFKlkZGQAt2CWsXDPNOawmE+GQfnim9cLRSF9bGhMIkI74rWtAXmCm7Ie9GvL6fMdclXS5ZdfDrt374aioiL497//zdKHoj/BTCZPngyPPvqotIw9Bi6Ng8OyjDleMaQxY5/trlNEpPe6Hod1oGEbjalAxWtbpTAGynpQVUkcP98h7zFgr+DSSy+Fnj17sl/y3bp1g9mzZ0NaWhpzKhcWFqq2R1USfobg3/oqJXFZ3MYb2DsRlVBicSwRUQBX/1EoWA8hfCuG+MF210mZr1pr7mqdDmslx86Xa7i2ERdlcNNzbfmJvxWmhqE+tbW1zAeAhiI6OhrWrVsnfXbgwAEmT0UfBIJ/cSiqoKBA2mbt2rXsRY/DUYQG8EG89VWhaH0o9YAPWHoPoWgIicGtYogzhNg8zeDn2tasYDwfbbGxIthMY1ZMm8yoMxOd7u3rvuO17l3B9fjHcsKc4Yt3BIytFBmboBqmC6RKslv8rZD+RMQhncGDBzOHcklJCVMgffXVV/DFF1+wsf/Ro0ezIZ+mTZuyl/3DDz/MjAEqkpCBAwcyAzB8+HCYOXMm8ytMmTKFzX3AXkHYg5nFPhou1Ie+AxAd3PAQloDd9ge/cpRiyApYbJ4x18HhM9vZdVqt9TphyIkp6l62aZno9NwjY9bLdU37iPde96HgyjlWLqmMMOdDoNhKpe5qheLLE1CVhPv46VC+9J1YqAqsEuP4+Q6pYcBf+iNGjIC8vDxmCHCyGxqFm266iX0+a9YsiIiIYBPbsBeBiqN58+ZJ34+MjISVK1fC2LFjmcFITExkPooXXngBbIGYZUysm7IPjzzHAF8a9YYnQgV3MZ84xRbXCX0E09NNmX0vqozSNMbGErfvBW7VBDp/sZLk+E3yMxqhJb6SFc93OBoGnKfgj7i4OJg7dy4rvsjKyoJVq1aZcHQOQUecGoIIV5WRr5AYwYiVdFRn/KZwgDsfA2Ez9IZHcDrYa9Oa1Quv59xrhKL12l44A/BCM6Fg3Qz0HpeOkBjyPsq9132ojFJADomhrPuKlZQCsixVWQ96BjdOIcMQJoSvykFneAQnozujl4GMbzh0WFslFC0RQA2h87iMKIxcHu91HyqjaMUIaQR4AsZKqnbFqMJ0a8ng1hCVGG/PNxkGTrGbyoEggopyUliACWKoMkqNlQNrxoE7YAa3yFjZoV0BMQFVSfidRnHqkXl/3+H9+SbDwCmoctiKMYMUiCoHgiC0gyqjC261c1dUGfnavtAtvxqrINrv9uJ3SirUUZ39fYf355sMA4dQLByHgmEwFt0qFD8hMQjzniVxe5dHfslHQY3fWElG98FzrKuQh8QgLoayjDkUjjN6mYpy4qOGSZAMpeHEug+fjJzBTVYJKeu+VElVPkJi+FclacsKGA7PNxkGDrFU5YBhMLr9Xq4ThNUoJ3ZpneSlMY2m0Yxv4GNmdTBUSeGgYqKhJKfHwsEwGHfMF4oZITEMhTsgTMn4xr7iEn4AYDFtMqPe4zJwHhpDYojPkkvRE8HwIYFUSVUuZQ8jJqiqpHCIdUWGgVNsEzNIDI+AJczz4HKHjoxvEonNAJ49KxSs83BcRs5DR0gMfGY6tsuWlguhUcCMb50zWqgyuAV69vQ+r7w/3y6PxzQxc9iAYbcxJAeG/uYt0qrpMYOw+cVJRSj74yQkhiPBnNgmhYaw3Xnr/U5VOZQvugMqqmug6M6lkJ0WwCie2A2w4NeseuzuLyCjsxCfLdjPq5UxwfS852hQ2emxcEyMU0MQ3BAdD/EPfg7Yt5CzP2tzbmckekx7XnmNdUVDSYS5GAnb4GT0ZPTSmPFNxYWzANNaCgXrZqD3uOorjLTuQ8939J53RZH3ukOgHgNhMnXhEcQ6EbyMXhozvl30HTFpvVmSWL3HpVFh1KDv6D3viBjvdYdAPQaCIMIPvWk0lb1VLT3XGFmVdMKBHV0yDARBEPXiGD392SFpecwHP3EVx8gKyDAQBC9gRq/37hYK1omQMAGzsR0/qwqJwVMcIysgw0AQvCBm9MLCWUYv7kNiBAkxjhEorr+rXjY2J0DOZ6fjigTodLtcJwgbhcTQixjHyKVY5+IsjpEVkGFwOvggDn3bxB3UhTsQ60Rw0ZrtTdke0q9yFz/Hpfs8dKItgoYUx8gN0dI6ZZ2HOEZWQIaBMBcx3AGhC8zold0qUVvGNz0kNQN47ry5raH3uIych15VkjL8h59QIGIco7yc49I6d12sJAxZ4YTeAkI+BoLgAN4zepkKhrd4qZVQsG4G2EtK7yGUAH6MaUM6Q2Kselg1UAY3u0GGwenggzg1RShmPZREQHjP6GU6GJpFjNllBtHxAA9+JRSs+2HKir1Q5ZZVYTFQHTCDm90gw0CYi5GwDQ7DcEYvIxnfys4BTG8tFKybgd7jsiIkhsbzFtsi0VMqrUuGUlIlEURQMRK2wWEYzuhlJONbbQ1AZalcNwO9x2VFSAyN5y1ncIuS1inrTlElUY+BIEJMOGT0Cv+QGOXe6z7aogLk+EjKulPaggwDQYSYcMjoFf4oexWegG1RrcjgJqqSnNQWZBgIggN4z+jlJKYN6QwJsfLwUS1EOE6VRPMYCIIDUhKi4e3RvSzN6MUNyp6S1gyCYghtsR7EBFNTVuyFUncNgNRp8EiqJGwjJ0CGwelgGIz2A+U6EVJ4zehlKkr5aAApqURtrfd6AxFVSR2gUloXB1UqVZIT2ocMg9PBkBjDlpm7D7PDHTgZrdneeD8uTs5DVCVVKl6NlQ5UJZFhIMzFSLgDwpyMb0hSc4CpRXwdl5Hz0KtKwlAg3uo+VEnlIAfzU9ZJlUQQBGEFOON+ZjuhGJh9j3GlAuMCaN5BKH6i6ImqpCil2wM8pEoiHIYVcWoIIhBlZ4ViVlwp7FWM+04oAXoYc+7rAT0zmzhaIUZyVcLcODVGwjYQ5mV8Kz8P8LdsoWCdh+OqrzDSEFdq16F8aTkWqgLHldJx3ikJ0fD67W2l5Q9HdGJqJFzvFMjHQJiLkbANhL6Mb2JdCzXV8osR6zwclw6Fkagaagry/42ol2HNq3NY73nXyttkJDvHIIhQj4EgiLBBjislz0xW1lE11JCQGA2S0NoIMgwEQTggrpS2kBhe5bPRfEhprYQMA0HYAG3KHO+/vnk6rkDHFIy4UrnnNaqYdG1vL8gwEEQYYkSZg9956L1d0vId874NepY4vceF2499b7e0fPu8LQGPCWMZNYpTu0f9xTLCfUz8UN7HvQu2BjymCR/9IC0PXbDNOdn06iDD4HQwzWFWP6EESHlIhHfGN/zO9iPnTM0Sp/e4cPuvj5RIy26IDnhMGMuopELtQPaXYQ33sTP3vK5j2ntUVj3FgdtZ2fTIMBDMsTbqM6GY5WTDMVoHjtPylPHNcJY4E4/LivMwur3H41v15ARIrkqYi5FwB0TQM76J3zkHKfqyxJl4XA05D737OA/J0jpl3d8xiSjrFCuJIAjbKHOsyBKndx/i9jhU82XsE6w+wP0yVNTJT4NxHuL2HnDBcU8zqR5oe5dCuaSsU6wkwhk0ME4NYT1GlDlWZInTuw9lXKI2rjOsBIpLZHQfVa446Od+gxU0PP62/9Ul3qMB43onRFZFyNtI6IpTY0nYBsKUjG/42fWXJMO/omeyEguVQY8BpPe4cH3vdqm6z0PvPvSct8cDEAOyAkms13NT2BqXx+Ok0/VOcXExpKSkQFFRESQny+OPjgB7CdPThfpTJ4OaCcuS/+9wdGd8U7THkT/lQHar5qE/LoPHZMY+0Pnc/9WN0A6Owfq4J9m6/hV/g0OQweobHr8+bHsNet5z5HwmCIdmfMtOTeDuuPQck659KAI4Zif7DrstOp8rFGE2lHWnOJ9pKIkgCPujHBjxM0giOp8rfBgGcj5bwIwZM+Dqq6+GRo0aQYsWLWDIkCFw4MAB1TYVFRUwbtw4SE1NhaSkJLjrrrvg1KlTqm1yc3Ph1ltvhYSEBPZ/nnjiCaiuNilyJGFp2AbCPJzaHv7CbojO6gjFZE9UMQXTSR8OhLTHsHHjRvbS37p1K6xduxaqqqpg4MCBcOGCrI6ZNGkSfPrpp7Bs2TK2/cmTJ+HOO++UPq+pqWFGobKyEjZv3gxLliyBxYsXw7PPPhuisyIalFCFcGB7aMuuZhS9oUCmDekM0XHykFYFxPgNuWFHQmoYPv/8c3jggQegc+fO0K1bN/ZCx1//O3fuZJ+jk2ThwoXw2muvQf/+/aFnz56waNEiZgDQmCBr1qyBffv2wbvvvgvdu3eHwYMHw4svvghz585lxoIIAP4ySu8hlCCHxDAStoEwD27bQ0d2NSPoDQUyZcVecFeUqxIB+Qu5YUe48jGgIUCaNm3K/qKBwF7EgAEDpG06dOgAmZmZsGXLFraMf7t06QItW7aUthk0aBDzwO/du9frftxuN/tcWRwLhsF48CuhBDEkhhUhGAhqj2Dfh+L24PCQGNwYhtraWpg4cSL07dsXrrhC6LLl5+dDTEwMNG7cWLUtGgH8TNxGaRTEz8XPfPk2ULYllowMQYpGBI/6oQuw1A8tQFiHU9tDb2IfcftaxatRWbfrdeLWMKCv4aeffoIPPvjA9H1NnjyZ9U7EcuzYMdP36TSsCMFA2KQ9KssA5l4jFKybdN5nPY1YUeIrJEYEyClGlXWn3LdcGIbx48fDypUrYcOGDdCmTRtpfVpaGvMTFBYWqrZHVRJ+Jm5TX6UkLovb1Cc2NpZN8FAWx4IP4qwuQgniQ2lFCAbCLu3hATj9P6Foya5m4LwrXfHQ0/1PVrCnFCiERiSX18khhgEnXaNRWL58Oaxfvx7atm2r+hydzdHR0bBu3TppHcpZ0UHdp08ftox/9+zZAwUFBdI2qHDCl32nTp0sPJtwxQNQlCuUID+URsI2EObh1PbQe97ThnSGpNhI1TqnqZKiQj189P7778N///tfNpdB9AnguH98fDz7O3r0aHj00UeZQxpf9g8//DAzBr1792bborwVDcDw4cNh5syZ7H9MmTKF/W/sGRChIyUhGt4e3Ut/2AaC2iOE9+GUFXuh1F2DciQJUZWE/8cJhNQwzJ8/n/29/vrrVetRkooyVmTWrFkQERHBJrahmggVR/PmzZO2jYyMZMNQY8eOZQYjMTERRo4cCS+88ILFZ0OYEbaBCD6ObI+qcmj76VBgYxL3/9vnZqIqqWm93rNSleSEaxdSw6Alfl9cXBybk4DFF1lZWbBq1aogHx1BELbBUwtw9Bu53gAVU1syDARBEM6hvoqpPk5RJVF0VYIgQowLICVTrocQUZX0bc4ZpmBSqpLQYe2E3gI3clXCvnFqCCIgGAZj0h6hmBASQy9zHKreUkI9BqcjxqkhCIKRQmo6MgwEQRBGVUx2hXoMBEGEFsyutmiwUB+1OqjBHFVEJwRdxWRXyDA4HQyDseAGoT5mAxdjvITDwBfvye/NfQljrvGn88z53zaEDIPjqYtTwwhuSAyCIMITUiURBEEQKsgwEARhf6oqAN67WyhYJ/xCQ0kEQdgfzMh2cI1cJ/xChoEgCKKhKiabQYaBIIjQk5AKXBHjbBUTGQbHw0+cGsKh4Ev4L4cs292Rs2WQ3coZMY+MQs5np8NZnBqCCDaFZZXwxyU7pOXBszfBiIXboKisii62D8gwEARhayYs3Q1bD51VrcPoqQ8vrZtU540qZ6uYaCiJIIjQh8R493dCHeMSBTEkhpiRLV5vRjaPs1VMZBicjlVxaggiBHGJ5IxscZBd8f5FnzslI5teyDA4HSvi1BAEBxnZvOGUjGx6IR8DQRC2RczIhhnYlOAyrtfSWzhyVuh1OAkyDARB2Bq9GdkKScVEQ0kEQdgbvRnZJizdDbtQxRR7sYoJ/48TIB8DQRCOAI1BoKEjwyomm0GGgSCI0MNJXCJSMQmQYSD4i1NDOAuO4hKRikmADIPTsThODUGEg4rp25wzbPhIqWJCh7UThpEQUiURBEE0QMVkR6jHQBBEaMFYRB8NF+pD3wGIjgsrFZMdIcPgdEyMU0MQmuA0LlFbDSomu0KGwemYGKeGIIjwhHwMBEEQhAoyDARBcIMT4xLxCBkGgiBCBsUl4hMyDARBhFd2NcJ0yDAQBBESxLhEyolk9eMSEaGBVEkEN3FqCGdBcYn4hQyD0+EoTg3hLCguEb/QUBJBEGGbXY0wBzIMBEGEDIpLxCc0lOR0OItTQzgLikvEJ2QYnA6ncWoIZ+HkuEQ8QkNJBEEQhAoyDARBEIQKMgyEBMWpIQiCDIPDoTg1BEF4g3oMDobi1BAE4Q0yDA6F4tQQBOELkqs6FIpTQxAElz2GTZs2wW233Qbp6engcrlgxYoVqs89Hg88++yz0KpVK4iPj4cBAwbAwYMHVducO3cOhg0bBsnJydC4cWMYPXo0lJaWWnwm4QfFqSEIgkvDcOHCBejWrRvMnTvX6+czZ86EN954A/7xj3/Ad999B4mJiTBo0CCoqKiQtkGjsHfvXli7di2sXLmSGZsHH3zQwrMITyhODUEQvnB58Gc5B2CPYfny5TBkyBC2jIeFPYnHHnsMHn/8cbauqKgIWrZsCYsXL4Z7770X9u/fD506dYLt27fDVVddxbb5/PPP4ZZbboHjx4+z72uhuLgYUlJS2P/HnodTKCqrYglRMPa9CAYvw/g1GKqAIAj7oOc9x62P4fDhw5Cfn8+Gj0TwpK655hrYsmULMwz4F4ePRKOA4PYRERGsh3HHHXeE6OjDA4pTQxBEWBkGNAoI9hCU4LL4Gf5t0aKF6vOoqCho2rSptI033G43K0pL6mQoTg1BEOB0ueqMGTNY70MsGRkZoT4kgiAIbuDWMKSlpbG/p06dUq3HZfEz/FtQUKD6vLq6mimVxG28MXnyZDbOJpZjx46Zcg4EQRDhCLeGoW3btuzlvm7dOtWQD/oO+vTpw5bxb2FhIezcuVPaZv369VBbW8t8Eb6IjY1lzhdlIQiCIDjwMeB8g5ycHJXDeffu3cxHkJmZCRMnToRp06ZB+/btmaF45plnmNJIVC517NgRbr75ZhgzZgyTtFZVVcH48eOZY1qrIokgCIKohyeEbNiwAaWyF5WRI0eyz2traz3PPPOMp2XLlp7Y2FjPjTfe6Dlw4IDqf5w9e9Zz3333eZKSkjzJycmeUaNGeUpKSnQdR1FREdsv/iUIgrAjet5z3MxjCCVOncdAEIRzKNbxnuPWx0AQBEGEBjIMBEEQRHhMcLMScTTN6RPdCIKwL+L7TYv3gAwDAJSUlLCLQRPdCIJwwvsOfQ3+IOczAJv3cPLkSWjUqBEL5qfHAqMxwQlyTnJa03lTezuBYps939hTQKOAUn6MJ+cP6jGgoyUiAtq0aWP4gjt1khydt7Og9g5/AvUURMj5TBAEQaggw0AQBEGoIMPQADDm0nPPPcf+Ogk6b2pvJxDr0OcbIeczQRAEoYJ6DARBEIQKMgwEQRCECjIMBEEQhAoyDAaZO3cuZGdnQ1xcHEsKtG3bNrA7U6dOZRMAlaVDhw5gNzZt2gS33XYbmwiE57hixYqLJgo9++yz0KpVK4iPj4cBAwbAwYMHwe7n/cADD1zU/pgPxQ6pfq+++mo2wRVzyA8ZMgQOHDig2qaiogLGjRsHqampkJSUBHfddddF2SXtBBkGA3z44Yfw6KOPMsXCrl27oFu3bjBo0KCL0ozakc6dO0NeXp5UvvnmG7AbFy5cYG2Kxt8bM2fOhDfeeIMlh8KMgomJiaz98eVh5/NG0BAo23/p0qUQ7mzcuJG99Ldu3Qpr165lCb8GDhzIrofIpEmT4NNPP4Vly5ax7TFSwp133gm2xYoEEXajV69ennHjxknLNTU1nvT0dM+MGTM8dua5557zdOvWzeMk8BFZvny5tIzJo9LS0jwvv/yytK6wsJAlklq6dKnHrueNYAKt22+/3WN3CgoK2Plv3LhRat/o6GjPsmXLpG3279/PttmyZYvHjlCPQSeVlZUsxzQOHyhDauDyli1bwO7gkAkONbRr1w6GDRsGubm54CQw/Wx+fr6q/THMAA4nOqH9v/rqKzbccvnll8PYsWPh7NmzYDeKiorYX0wxjODzjr0IZZvjECqmH7Zrm5Nh0MmZM2egpqYGWrZsqVqPy/jCsDP48lu8eDF8/vnnMH/+fPaSvPbaa6XotE5AbGMntj8OI7399tuwbt06+Nvf/saGVAYPHsyeBzsF1Jw4cSL07dsXrrjiCrYO2zUmJgYaN27smDanIHqEZvAlINK1a1dmKLKysuCjjz6C0aNH05W0Offee69U79KlC7sHLrnkEtaLuPHGG8EOoK/hp59+sqXvTA/UY9BJs2bNIDIy8iJFAi6npaWBk8BfUJdddhnk5OSAUxDbmNof2HAiPg92af/x48fDypUrYcOGDapoy9jmOIRcWFjomGeeDINOsEvZs2dP1p1Wdj9xuU+fPuAkSktL4ZdffmGyTafQtm1b9jJQtj/G7Ud1ktPa//jx48zHEO7tj752NArLly+H9evXszZWgs97dHS0qs1Rzor+Nbu2OQ0lGQClqiNHjoSrrroKevXqBa+//jqTto0aNQrszOOPP8507jh8hHI9lOti7+m+++4Duxk85a9g9KXs3r2bOSPR4Yhj0NOmTYP27duzl8gzzzzDHPKof7freWN5/vnnmX4fDSP+IPjLX/4Cl156KZPqhvvw0fvvvw///e9/2VyG/Dq/AYoKcJ4K/sWhUnzu8TpgXoqHH36YGYXevXuDLQm1LCpcmTNnjiczM9MTExPD5Ktbt2712J177rnH06pVK3bOrVu3Zss5OTkeu7FhwwYmRaxfUK4pSlafeeYZT8uWLZlM9cYbb/QcOHDAY+fzLisr8wwcONDTvHlzJt3MysryjBkzxpOfn+8Jd7ydMwB4Fi1aJG1TXl7ueeihhzxNmjTxJCQkeO644w5PXl6ex65QdFWCIAhCBfkYCIIgCBVkGAiCIAgVZBgIgiAIFWQYCIIgCBVkGAiCIAgVZBgIgiAIFWQYCIIgCBVkGAiCIAgVZBgIgiAIFWQYCEfjLY+xXXIZE4RRKIge4XjQCCxatEh1HWJjY8P2umCIaIwCTBBGoR4D4XjQCGDEUGVp0qQJS0CDL9ivv/5aukYzZ85kqS3FfAzXX389C9mMBaNwYn4CjLYqxGYTOH/+PIwYMYL9z4SEBJbwCFOkihw9epRFrcXPExMToXPnzrBq1Sr2GWbMq585bMWKFaxXIzJ16lTo3r07vPXWWyzaa1xcHFuP+QP++Mc/QvPmzVlE0P79+8MPP/zg+PYmAkOGgSB8gC99DLE9fPhwlgf4+++/Zy99fAErU3suWbIEoqKiYNu2bTB79mx47bXX2DbK4aodO3bAJ598wnIEo9G45ZZbWB5hMeyz2+2GTZs2wZ49e1jazKSkJF3tguGyP/74Y/jPf/7DQmUjd999NxQUFMDq1atZ3uIrr7ySZVo7d+4ctTnhn1CHdyWIUIIhpSMjIz2JiYmq8tJLL7HP3W63p3v37p6hQ4d6OnXqxEJNK/n1r3/t6dixIwvFLfLkk0+ydcjPP//MQjh/++230udnzpzxxMfHez766CO23KVLF8/UqVO9Hh+Gfk5JSVGtW758OfufIs899xwLhV1QUCCt+/rrrz3JycmeiooK1XcvueQSzz//+U9D14pwDuRjIBzPDTfcAPPnz1ddB0zIguBQ0nvvvcfyG2OColmzZl10vTBZi3JoBxO4vPrqq1BTUwP79+9nvQnMjy2SmpoKl19+OfsMmTBhAowdOxbWrFkDAwYMYMlwcH96wGPDISMRHDLCxDu4LyXl5eUsyQ5B+IMMA+F4cFwfM5H5YvPmzewvDsFgwe2DCfoBMAvaZ599xozDjBkzmGHBLGEREREqfwUiDkEpqX9MaBQw5Sb6SepT32dBEPUhHwNB+AF/XU+aNAkWLFjAfvVjSlfM8a0E8z0r2bp1K0v7iWlPO3bsCNXV1aptME8y5gzu1KmTtC4jIwP+/Oc/Mx/BY489xvaHYC+gpKSEpY4VEX0I/kB/AqaoxN4KGj1lQQc5QfiDDAPheNDxiy9RZTlz5gwbCrr//vvZr3nM542S1h9//JH9mleCSeExHzC+7JcuXQpz5syBRx55hH2GBuL222+HMWPGwDfffMOGePB/tm7dmq1H0MH9xRdfsBzLu3btgg0bNjCDgqAxQiXTU089xYwU5iZGpVIgcEgKh7QwDzX2Qo4cOcJ6Pk8//TRzhBOEX0Lt5CCIUDufveX7vfzyyz3PP/88y3GNzmKRjz/+mOW83r17t+R8xlzAf/7zn5mzF3MCP/XUUypn9Llz5zzDhw9nTmR0Og8aNIg5pUXGjx/PnMKYPxpzKuO2yn2is/nSSy9l3/3Nb37jefPNNy9yPnfr1u2icysuLvY8/PDDnvT0dOaczsjI8AwbNsyTm5tryrUk7APlfCaIBkpacQ7B66+/TteRsA00lEQQBEGoIMNAEARBqKChJIIgCEIF9RgIgiAIFWQYCIIgCBVkGAiCIAgVZBgIgiAIFWQYCIIgCBVkGAiCIAgVZBgIgiAIFWQYCIIgCBVkGAiCIAhQ8v9hId9v+JreJAAAAABJRU5ErkJggg==", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "ax = lung.plot.scatter(x='Exposure', y='PEFR', figsize=(4, 4))\n", + "ax.plot(lung.Exposure, fitted)\n", + "for x, yactual, yfitted in zip(lung.Exposure, lung.PEFR, fitted): \n", + " ax.plot((x, x), (yactual, yfitted), '--', color='C1')\n", + "\n", + "plt.tight_layout()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### R\n", + "R computes fitted values and residuals from `lm` and plots residual segments.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": {}, + "outputs": [], + "source": [ + "%%R\n", + "fitted <- predict(model)\n", + "resid <- residuals(model)" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "%%R\n", + "lung1 <- lung %>%\n", + " mutate(Fitted=fitted,\n", + " positive = PEFR>Fitted) %>%\n", + " group_by(Exposure, positive) %>%\n", + " summarize(PEFR_max = max(PEFR), \n", + " PEFR_min = min(PEFR),\n", + " Fitted = first(Fitted), \n", + " .groups='keep') %>%\n", + " ungroup() %>%\n", + " mutate(PEFR = ifelse(positive, PEFR_max, PEFR_min)) %>%\n", + " arrange(Exposure)\n", + "\n", + "plot(lung$Exposure, lung$PEFR, xlab=\"Exposure\", ylab=\"PEFR\")\n", + "abline(a=model$coefficients[1], b=model$coefficients[2], col=\"blue\", lwd=2)\n", + "segments(lung1$Exposure, lung1$PEFR, lung1$Exposure, lung1$Fitted, col=\"red\", lty=3)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Summary: Fitted Values and Residuals\n", + "\n", + "| Operation | Python | R | Notes |\n", + "|---|---|---|---|\n", + "| Fitted values | `model.predict(...)` | `predict(model)` | Same concept, different function style. |\n", + "| Residual extraction | explicit vector subtraction | `residuals(model)` | Python is explicit; R provides direct extractors. |\n", + "| Residual visualization | custom matplotlib segments | `segments(...)` in base plot | Both emphasize distance to regression line. |\n", + "\n", + "Python favors explicit arrays and post-fit operations; R exposes fitted/residual helpers directly from model objects.\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Multiple linear regression" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Python" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " AdjSalePrice SqFtTotLiving SqFtLot Bathrooms Bedrooms BldgGrade\n", + "1 300805.0 2400 9373 3.00 6 7\n", + "2 1076162.0 3764 20156 3.75 4 10\n", + "3 761805.0 2060 26036 1.75 4 8\n", + "4 442065.0 3200 8618 3.75 5 7\n", + "5 297065.0 1720 8620 1.75 4 7\n" + ] + } + ], + "source": [ + "subset = ['AdjSalePrice', 'SqFtTotLiving', 'SqFtLot', 'Bathrooms', \n", + " 'Bedrooms', 'BldgGrade']\n", + "\n", + "house = pd.read_csv(HOUSE_CSV, sep='\\t')\n", + "print(house[subset].head())" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Intercept: -521871.368\n", + "Coefficients:\n", + " SqFtTotLiving: 228.83060360240793\n", + " SqFtLot: -0.06046682065307607\n", + " Bathrooms: -19442.840398321066\n", + " Bedrooms: -47769.95518521438\n", + " BldgGrade: 106106.96307898081\n" + ] + } + ], + "source": [ + "predictors = ['SqFtTotLiving', 'SqFtLot', 'Bathrooms', \n", + " 'Bedrooms', 'BldgGrade']\n", + "outcome = 'AdjSalePrice'\n", + "\n", + "house_lm = LinearRegression()\n", + "house_lm.fit(house[predictors], house[outcome])\n", + "\n", + "print(f'Intercept: {house_lm.intercept_:.3f}')\n", + "print('Coefficients:')\n", + "for name, coef in zip(predictors, house_lm.coef_):\n", + " print(f' {name}: {coef}')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### R\n", + "R fits the multivariable model with `lm(...)` and reviews coefficients.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " AdjSalePrice SqFtTotLiving SqFtLot Bathrooms Bedrooms BldgGrade\n", + "1 300805 2400 9373 3.00 6 7\n", + "2 1076162 3764 20156 3.75 4 10\n", + "3 761805 2060 26036 1.75 4 8\n", + "4 442065 3200 8618 3.75 5 7\n", + "5 297065 1720 8620 1.75 4 7\n", + "6 411781 930 1012 1.50 2 8\n" + ] + } + ], + "source": [ + "%%R\n", + "print(head(house[, c('AdjSalePrice', 'SqFtTotLiving', 'SqFtLot', 'Bathrooms', \n", + " 'Bedrooms', 'BldgGrade')]))" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "Call:\n", + "lm(formula = AdjSalePrice ~ SqFtTotLiving + SqFtLot + Bathrooms + \n", + " Bedrooms + BldgGrade, data = house, na.action = na.omit)\n", + "\n", + "Coefficients:\n", + " (Intercept) SqFtTotLiving SqFtLot Bathrooms Bedrooms \n", + " -5.219e+05 2.288e+02 -6.047e-02 -1.944e+04 -4.777e+04 \n", + " BldgGrade \n", + " 1.061e+05 \n", + "\n" + ] + } + ], + "source": [ + "%%R\n", + "house_lm <- lm(AdjSalePrice ~ SqFtTotLiving + SqFtLot + Bathrooms + \n", + " Bedrooms + BldgGrade, \n", + " data=house, na.action=na.omit)\n", + "\n", + "house_lm" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Summary: Multiple linear regression\n", + "\n", + "| Operation | Python | R | Notes |\n", + "|---|---|---|---|\n", + "| Multivariable fit | `LinearRegression().fit()` | `lm(...)` | Equivalent multivariate OLS fitting. |\n", + "| Coefficient access | `coef_`, intercept | `coef(model)` | Both expose parameter estimates directly. |\n", + "| Prediction use | `.predict()` | `predict()` | APIs differ, statistical objective is identical. |\n", + "\n", + "Python separates matrix preparation and fitting more explicitly, while R keeps modeling concise via formulas.\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Assessing the Model" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Python\n", + "_Scikit-learn_ provides a number of metrics to determine the quality of a model. Here we use the `r2_score`." + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "RMSE: 261220\n", + "r2: 0.5406\n" + ] + } + ], + "source": [ + "fitted = house_lm.predict(house[predictors])\n", + "RMSE = np.sqrt(mean_squared_error(house[outcome], fitted))\n", + "r2 = r2_score(house[outcome], fitted)\n", + "print(f'RMSE: {RMSE:.0f}')\n", + "print(f'r2: {r2:.4f}')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "While _scikit-learn_ provides a variety of different metrics, _statsmodels_ provides a more in-depth analysis of the linear regression model. This package has two different ways of specifying the model, one that is similar to _scikit-learn_ and one that allows specifying _R_-style formulas. Here we use the first approach. As _statsmodels_ doesn't add an intercept automaticaly, we need to add a constant column with value 1 to the predictors. We can use the _pandas_ method assign for this." + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " OLS Regression Results \n", + "==============================================================================\n", + "Dep. Variable: AdjSalePrice R-squared: 0.541\n", + "Model: OLS Adj. R-squared: 0.540\n", + "Method: Least Squares F-statistic: 5338.\n", + "Date: Wed, 15 Apr 2026 Prob (F-statistic): 0.00\n", + "Time: 17:36:24 Log-Likelihood: -3.1517e+05\n", + "No. Observations: 22687 AIC: 6.304e+05\n", + "Df Residuals: 22681 BIC: 6.304e+05\n", + "Df Model: 5 \n", + "Covariance Type: nonrobust \n", + "=================================================================================\n", + " coef std err t P>|t| [0.025 0.975]\n", + "---------------------------------------------------------------------------------\n", + "SqFtTotLiving 228.8306 3.899 58.694 0.000 221.189 236.472\n", + "SqFtLot -0.0605 0.061 -0.988 0.323 -0.180 0.059\n", + "Bathrooms -1.944e+04 3625.388 -5.363 0.000 -2.65e+04 -1.23e+04\n", + "Bedrooms -4.777e+04 2489.732 -19.187 0.000 -5.27e+04 -4.29e+04\n", + "BldgGrade 1.061e+05 2396.445 44.277 0.000 1.01e+05 1.11e+05\n", + "const -5.219e+05 1.57e+04 -33.342 0.000 -5.53e+05 -4.91e+05\n", + "==============================================================================\n", + "Omnibus: 29676.557 Durbin-Watson: 1.247\n", + "Prob(Omnibus): 0.000 Jarque-Bera (JB): 19390738.346\n", + "Skew: 6.889 Prob(JB): 0.00\n", + "Kurtosis: 145.559 Cond. No. 2.86e+05\n", + "==============================================================================\n", + "\n", + "Notes:\n", + "[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n", + "[2] The condition number is large, 2.86e+05. This might indicate that there are\n", + "strong multicollinearity or other numerical problems.\n" + ] + } + ], + "source": [ + "model = sm.OLS(house[outcome], house[predictors].assign(const=1))\n", + "results = model.fit()\n", + "print(results.summary())" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### R\n", + "R uses `summary(house_lm)` for coefficient significance and model fit diagnostics.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "Call:\n", + "lm(formula = AdjSalePrice ~ SqFtTotLiving + SqFtLot + Bathrooms + \n", + " Bedrooms + BldgGrade, data = house, na.action = na.omit)\n", + "\n", + "Residuals:\n", + " Min 1Q Median 3Q Max \n", + "-1199479 -118908 -20977 87435 9473035 \n", + "\n", + "Coefficients:\n", + " Estimate Std. Error t value Pr(>|t|) \n", + "(Intercept) -5.219e+05 1.565e+04 -33.342 < 2e-16 ***\n", + "SqFtTotLiving 2.288e+02 3.899e+00 58.694 < 2e-16 ***\n", + "SqFtLot -6.047e-02 6.118e-02 -0.988 0.323 \n", + "Bathrooms -1.944e+04 3.625e+03 -5.363 8.27e-08 ***\n", + "Bedrooms -4.777e+04 2.490e+03 -19.187 < 2e-16 ***\n", + "BldgGrade 1.061e+05 2.396e+03 44.277 < 2e-16 ***\n", + "---\n", + "Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1\n", + "\n", + "Residual standard error: 261300 on 22681 degrees of freedom\n", + "Multiple R-squared: 0.5406,\tAdjusted R-squared: 0.5405 \n", + "F-statistic: 5338 on 5 and 22681 DF, p-value: < 2.2e-16\n", + "\n" + ] + } + ], + "source": [ + "%%R\n", + "summary(house_lm)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Summary: Assessing the Model\n", + "\n", + "| Operation | Python | R | Notes |\n", + "|---|---|---|---|\n", + "| Detailed summary | `statsmodels.OLS(...).summary()` | `summary(house_lm)` | Both provide inferential diagnostics and fit metrics. |\n", + "| Goodness-of-fit | R-squared from summary | Multiple/Adjusted R-squared | Comparable interpretation across tools. |\n", + "| Significance checks | p-values, t-statistics | p-values, t-statistics | Same inferential framework. |\n", + "\n", + "Both ecosystems report similar statistical diagnostics; differences are mostly in API ergonomics and output formatting.\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Model Selection and Stepwise Regression" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Python" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " OLS Regression Results \n", + "==============================================================================\n", + "Dep. Variable: AdjSalePrice R-squared: 0.595\n", + "Model: OLS Adj. R-squared: 0.594\n", + "Method: Least Squares F-statistic: 2771.\n", + "Date: Wed, 15 Apr 2026 Prob (F-statistic): 0.00\n", + "Time: 17:36:24 Log-Likelihood: -3.1375e+05\n", + "No. Observations: 22687 AIC: 6.275e+05\n", + "Df Residuals: 22674 BIC: 6.276e+05\n", + "Df Model: 12 \n", + "Covariance Type: nonrobust \n", + "==============================================================================================\n", + " coef std err t P>|t| [0.025 0.975]\n", + "----------------------------------------------------------------------------------------------\n", + "SqFtTotLiving 198.6364 4.234 46.920 0.000 190.338 206.934\n", + "SqFtLot 0.0771 0.058 1.330 0.184 -0.037 0.191\n", + "Bathrooms 4.286e+04 3808.114 11.255 0.000 3.54e+04 5.03e+04\n", + "Bedrooms -5.187e+04 2396.904 -21.638 0.000 -5.66e+04 -4.72e+04\n", + "BldgGrade 1.373e+05 2441.242 56.228 0.000 1.32e+05 1.42e+05\n", + "NbrLivingUnits 5723.8438 1.76e+04 0.326 0.744 -2.87e+04 4.01e+04\n", + "SqFtFinBasement 7.0611 4.627 1.526 0.127 -2.009 16.131\n", + "YrBuilt -3574.2210 77.228 -46.282 0.000 -3725.593 -3422.849\n", + "YrRenovated -2.5311 3.924 -0.645 0.519 -10.222 5.160\n", + "NewConstruction -2489.1122 5936.692 -0.419 0.675 -1.41e+04 9147.211\n", + "PropertyType_Single Family 2.997e+04 2.61e+04 1.149 0.251 -2.12e+04 8.11e+04\n", + "PropertyType_Townhouse 9.286e+04 2.7e+04 3.438 0.001 3.99e+04 1.46e+05\n", + "const 6.182e+06 1.55e+05 39.902 0.000 5.88e+06 6.49e+06\n", + "==============================================================================\n", + "Omnibus: 31006.128 Durbin-Watson: 1.393\n", + "Prob(Omnibus): 0.000 Jarque-Bera (JB): 26251977.078\n", + "Skew: 7.427 Prob(JB): 0.00\n", + "Kurtosis: 168.984 Cond. No. 2.98e+06\n", + "==============================================================================\n", + "\n", + "Notes:\n", + "[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n", + "[2] The condition number is large, 2.98e+06. This might indicate that there are\n", + "strong multicollinearity or other numerical problems.\n" + ] + } + ], + "source": [ + "predictors = ['SqFtTotLiving', 'SqFtLot', 'Bathrooms', 'Bedrooms',\n", + " 'BldgGrade', 'PropertyType', 'NbrLivingUnits',\n", + " 'SqFtFinBasement', 'YrBuilt', 'YrRenovated', \n", + " 'NewConstruction']\n", + "\n", + "X = pd.get_dummies(house[predictors], drop_first=True, dtype=int)\n", + "X['NewConstruction'] = [1 if nc else 0 for nc in X['NewConstruction']]\n", + "\n", + "house_full = sm.OLS(house[outcome], X.assign(const=1))\n", + "results = house_full.fit()\n", + "print(results.summary())" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We can use the `stepwise_selection` method from the _dmba_ package." + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Variables: SqFtTotLiving, SqFtLot, Bathrooms, Bedrooms, BldgGrade, NbrLivingUnits, SqFtFinBasement, YrBuilt, YrRenovated, NewConstruction, PropertyType_Single Family, PropertyType_Townhouse\n", + "Start: score=647988.32, constant\n", + "Step: score=633013.35, add SqFtTotLiving\n", + "Step: score=630793.74, add BldgGrade\n", + "Step: score=628230.29, add YrBuilt\n", + "Step: score=627784.16, add Bedrooms\n", + "Step: score=627602.21, add Bathrooms\n", + "Step: score=627525.65, add PropertyType_Townhouse\n", + "Step: score=627525.08, add SqFtFinBasement\n", + "Step: score=627524.98, add PropertyType_Single Family\n", + "Step: score=627524.98, unchanged None\n", + "\n", + "Intercept: 6178645.017\n", + "Coefficients:\n", + " SqFtTotLiving: 199.2775530420188\n", + " BldgGrade: 137159.56022619782\n", + " YrBuilt: -3565.4249392492984\n", + " Bedrooms: -51947.38367361323\n", + " Bathrooms: 42396.16452771774\n", + " PropertyType_Townhouse: 84479.16203300416\n", + " SqFtFinBasement: 7.046974967553979\n", + " PropertyType_Single Family: 22912.055187017646\n" + ] + } + ], + "source": [ + "y = house[outcome]\n", + "\n", + "def train_model(variables):\n", + " if len(variables) == 0:\n", + " return None\n", + " model = LinearRegression()\n", + " model.fit(X[variables], y)\n", + " return model\n", + "\n", + "def score_model(model, variables):\n", + " if len(variables) == 0:\n", + " return AIC_score(y, [y.mean()] * len(y), model, df=1)\n", + " return AIC_score(y, model.predict(X[variables]), model)\n", + "\n", + "best_model, best_variables = stepwise_selection(X.columns, train_model, score_model, \n", + " verbose=True)\n", + "\n", + "print()\n", + "print(f'Intercept: {best_model.intercept_:.3f}')\n", + "print('Coefficients:')\n", + "for name, coef in zip(best_variables, best_model.coef_):\n", + " print(f' {name}: {coef}')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### R\n", + "R applies `stepAIC()` for bidirectional AIC-based variable selection.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Start: AIC=563145.4\n", + "AdjSalePrice ~ SqFtTotLiving + SqFtLot + Bathrooms + Bedrooms + \n", + " BldgGrade + PropertyType + NbrLivingUnits + SqFtFinBasement + \n", + " YrBuilt + YrRenovated + NewConstruction\n", + "\n", + " Df Sum of Sq RSS AIC\n", + "- NbrLivingUnits 1 6.4007e+09 1.3662e+15 563144\n", + "- NewConstruction 1 1.0592e+10 1.3662e+15 563144\n", + "- YrRenovated 1 2.5069e+10 1.3662e+15 563144\n", + "- SqFtLot 1 1.0657e+11 1.3663e+15 563145\n", + " 1.3662e+15 563145\n", + "- SqFtFinBasement 1 1.4030e+11 1.3663e+15 563146\n", + "- PropertyType 2 4.4207e+12 1.3706e+15 563215\n", + "- Bathrooms 1 7.6325e+12 1.3738e+15 563270\n", + "- Bedrooms 1 2.8212e+13 1.3944e+15 563607\n", + "- YrBuilt 1 1.2906e+14 1.4952e+15 565191\n", + "- SqFtTotLiving 1 1.3264e+14 1.4988e+15 565246\n", + "- BldgGrade 1 1.9050e+14 1.5567e+15 566105\n", + "\n", + "Step: AIC=563143.6\n", + "AdjSalePrice ~ SqFtTotLiving + SqFtLot + Bathrooms + Bedrooms + \n", + " BldgGrade + PropertyType + SqFtFinBasement + YrBuilt + YrRenovated + \n", + " NewConstruction\n", + "\n", + " Df Sum of Sq RSS AIC\n", + "- NewConstruction 1 1.0801e+10 1.3662e+15 563142\n", + "- YrRenovated 1 2.5628e+10 1.3662e+15 563142\n", + "- SqFtLot 1 1.0731e+11 1.3663e+15 563143\n", + " 1.3662e+15 563144\n", + "- SqFtFinBasement 1 1.3828e+11 1.3663e+15 563144\n", + "+ NbrLivingUnits 1 6.4007e+09 1.3662e+15 563145\n", + "- PropertyType 2 4.4301e+12 1.3706e+15 563213\n", + "- Bathrooms 1 7.7500e+12 1.3739e+15 563270\n", + "- Bedrooms 1 2.8273e+13 1.3944e+15 563606\n", + "- YrBuilt 1 1.3013e+14 1.4963e+15 565206\n", + "- SqFtTotLiving 1 1.3288e+14 1.4990e+15 565247\n", + "- BldgGrade 1 1.9177e+14 1.5579e+15 566122\n", + "\n", + "Step: AIC=563141.7\n", + "AdjSalePrice ~ SqFtTotLiving + SqFtLot + Bathrooms + Bedrooms + \n", + " BldgGrade + PropertyType + SqFtFinBasement + YrBuilt + YrRenovated\n", + "\n", + " Df Sum of Sq RSS AIC\n", + "- YrRenovated 1 2.5893e+10 1.3662e+15 563140\n", + "- SqFtLot 1 1.1494e+11 1.3663e+15 563142\n", + " 1.3662e+15 563142\n", + "- SqFtFinBasement 1 1.4534e+11 1.3663e+15 563142\n", + "+ NewConstruction 1 1.0801e+10 1.3662e+15 563144\n", + "+ NbrLivingUnits 1 6.6093e+09 1.3662e+15 563144\n", + "- PropertyType 2 4.5301e+12 1.3707e+15 563213\n", + "- Bathrooms 1 7.7487e+12 1.3739e+15 563268\n", + "- Bedrooms 1 2.8269e+13 1.3945e+15 563604\n", + "- SqFtTotLiving 1 1.3390e+14 1.5001e+15 565261\n", + "- YrBuilt 1 1.3760e+14 1.5038e+15 565317\n", + "- BldgGrade 1 1.9244e+14 1.5586e+15 566129\n", + "\n", + "Step: AIC=563140.2\n", + "AdjSalePrice ~ SqFtTotLiving + SqFtLot + Bathrooms + Bedrooms + \n", + " BldgGrade + PropertyType + SqFtFinBasement + YrBuilt\n", + "\n", + " Df Sum of Sq RSS AIC\n", + "- SqFtLot 1 1.1425e+11 1.3663e+15 563140\n", + " 1.3662e+15 563140\n", + "- SqFtFinBasement 1 1.4999e+11 1.3664e+15 563141\n", + "+ YrRenovated 1 2.5893e+10 1.3662e+15 563142\n", + "+ NewConstruction 1 1.1065e+10 1.3662e+15 563142\n", + "+ NbrLivingUnits 1 7.1825e+09 1.3662e+15 563142\n", + "- PropertyType 2 4.5076e+12 1.3707e+15 563211\n", + "- Bathrooms 1 7.7790e+12 1.3740e+15 563267\n", + "- Bedrooms 1 2.8251e+13 1.3945e+15 563603\n", + "- SqFtTotLiving 1 1.3388e+14 1.5001e+15 565259\n", + "- YrBuilt 1 1.5091e+14 1.5171e+15 565515\n", + "- BldgGrade 1 1.9244e+14 1.5587e+15 566128\n", + "\n", + "Step: AIC=563140.1\n", + "AdjSalePrice ~ SqFtTotLiving + Bathrooms + Bedrooms + BldgGrade + \n", + " PropertyType + SqFtFinBasement + YrBuilt\n", + "\n", + " Df Sum of Sq RSS AIC\n", + " 1.3663e+15 563140\n", + "+ SqFtLot 1 1.1425e+11 1.3662e+15 563140\n", + "- SqFtFinBasement 1 1.4116e+11 1.3665e+15 563140\n", + "+ YrRenovated 1 2.5199e+10 1.3663e+15 563142\n", + "+ NewConstruction 1 1.8750e+10 1.3663e+15 563142\n", + "+ NbrLivingUnits 1 8.0521e+09 1.3663e+15 563142\n", + "- PropertyType 2 4.4415e+12 1.3708e+15 563210\n", + "- Bathrooms 1 7.7109e+12 1.3740e+15 563266\n", + "- Bedrooms 1 2.8553e+13 1.3949e+15 563607\n", + "- SqFtTotLiving 1 1.3748e+14 1.5038e+15 565313\n", + "- YrBuilt 1 1.5080e+14 1.5171e+15 565513\n", + "- BldgGrade 1 1.9234e+14 1.5587e+15 566126\n", + "\n", + "Call:\n", + "lm(formula = AdjSalePrice ~ SqFtTotLiving + Bathrooms + Bedrooms + \n", + " BldgGrade + PropertyType + SqFtFinBasement + YrBuilt, data = house, \n", + " na.action = na.omit)\n", + "\n", + "Coefficients:\n", + " (Intercept) SqFtTotLiving \n", + " 6.179e+06 1.993e+02 \n", + " Bathrooms Bedrooms \n", + " 4.240e+04 -5.195e+04 \n", + " BldgGrade PropertyTypeSingle Family \n", + " 1.372e+05 2.291e+04 \n", + " PropertyTypeTownhouse SqFtFinBasement \n", + " 8.448e+04 7.047e+00 \n", + " YrBuilt \n", + " -3.565e+03 \n", + "\n" + ] + } + ], + "source": [ + "%%R\n", + "house_full <- lm(AdjSalePrice ~ SqFtTotLiving + SqFtLot + Bathrooms + \n", + " Bedrooms + BldgGrade + PropertyType + NbrLivingUnits + \n", + " SqFtFinBasement + YrBuilt + YrRenovated + NewConstruction,\n", + " data=house, na.action=na.omit)\n", + "\n", + "## Code snippet 4.8\n", + "step_lm <- stepAIC(house_full, direction=\"both\")\n", + "step_lm" + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "Call:\n", + "lm(formula = AdjSalePrice ~ Bedrooms, data = house)\n", + "\n", + "Coefficients:\n", + "(Intercept) Bedrooms \n", + " 117354 132991 \n", + "\n" + ] + } + ], + "source": [ + "%%R\n", + "lm(AdjSalePrice ~ Bedrooms, data=house)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Summary: Model Selection and Stepwise Regression\n", + "\n", + "| Operation | Python | R | Notes |\n", + "|---|---|---|---|\n", + "| Selection strategy | `stepwise_selection` | `stepAIC()` | Both run iterative AIC-based selection. |\n", + "| Starting model | full feature set | full formula model | Equivalent starting point for selection. |\n", + "| Output model | selected feature subset | updated formula | Both converge to a reduced model. |\n", + "\n", + "Python often relies on utility helpers from external packages, while R provides a canonical stepwise workflow in `MASS`.\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Weighted regression" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Python\n", + "We can calculate the Year from the date column using either a list comprehension or the data frame's `apply` method." + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "metadata": {}, + "outputs": [], + "source": [ + "house['Year'] = [int(date.split('-')[0]) for date in house.DocumentDate]\n", + "house['Year'] = house.DocumentDate.apply(lambda d: int(d.split('-')[0]))\n", + "house['Weight'] = house.Year - 2005" + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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predictorhouse_lmhouse_wt
0SqFtTotLiving228.830604245.024089
1SqFtLot-0.060467-0.292415
2Bathrooms-19442.840398-26085.970109
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4BldgGrade106106.963079115242.434726
0intercept-521871.368188-584189.329446
\n", + "
" + ], + "text/plain": [ + " predictor house_lm house_wt\n", + "0 SqFtTotLiving 228.830604 245.024089\n", + "1 SqFtLot -0.060467 -0.292415\n", + "2 Bathrooms -19442.840398 -26085.970109\n", + "3 Bedrooms -47769.955185 -53608.876436\n", + "4 BldgGrade 106106.963079 115242.434726\n", + "0 intercept -521871.368188 -584189.329446" + ] + }, + "execution_count": 31, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "predictors = ['SqFtTotLiving', 'SqFtLot', 'Bathrooms', \n", + " 'Bedrooms', 'BldgGrade']\n", + "outcome = 'AdjSalePrice'\n", + "\n", + "house_wt = LinearRegression()\n", + "house_wt.fit(house[predictors], house[outcome], sample_weight=house.Weight)\n", + " \n", + "pd.concat([\n", + " pd.DataFrame({\n", + " 'predictor': predictors,\n", + " 'house_lm': house_lm.coef_,\n", + " 'house_wt': house_wt.coef_, \n", + " }),\n", + " pd.DataFrame({\n", + " 'predictor': ['intercept'],\n", + " 'house_lm': house_lm.intercept_,\n", + " 'house_wt': house_wt.intercept_, \n", + " })\n", + "])" + ] + }, + { + "cell_type": "code", + "execution_count": 32, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " abs_residual_lm abs_residual_wt Year\n", + "1 123750.814194 107108.553965 2014\n", + "2 59145.413089 96191.882094 2006\n", + "3 190108.725716 187004.492880 2007\n", + "4 198788.774412 196132.996857 2008\n", + "5 91774.996129 84277.577512 2013\n" + ] + }, + { + "data": { + "text/html": [ + "
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Yearmean abs_residual_lmmean abs_residual_wt
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" + ], + "text/plain": [ + " Year mean abs_residual_lm mean abs_residual_wt\n", + "0 2006 140540.303585 146557.454636\n", + "1 2007 147747.577959 152848.523235\n", + "2 2008 142086.905943 146360.411668\n", + "3 2009 147016.720883 151182.924825\n", + "4 2010 163267.674885 166364.476152\n", + "5 2011 169937.385744 172950.876028\n", + "6 2012 169506.670053 171874.424266\n", + "7 2013 203659.777510 206242.199403\n", + "8 2014 184452.840665 186668.573750\n", + "9 2015 172323.435147 169842.742053" + ] + }, + "execution_count": 32, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "residuals = pd.DataFrame({\n", + " 'abs_residual_lm': np.abs(house_lm.predict(house[predictors]) - house[outcome]),\n", + " 'abs_residual_wt': np.abs(house_wt.predict(house[predictors]) - house[outcome]),\n", + " 'Year': house['Year'],\n", + "})\n", + "print(residuals.head())\n", + "# axes = residuals.boxplot(['abs_residual_lm', 'abs_residual_wt'], by='Year', figsize=(10, 4))\n", + "# axes[0].set_ylim(0, 300000)\n", + "\n", + "pd.DataFrame(([year, np.mean(group['abs_residual_lm']), np.mean(group['abs_residual_wt'])] \n", + " for year, group in residuals.groupby('Year')),\n", + " columns=['Year', 'mean abs_residual_lm', 'mean abs_residual_wt'])\n", + "# for year, group in residuals.groupby('Year'):\n", + "# print(year, np.mean(group['abs_residual_lm']), np.mean(group['abs_residual_wt']))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### R\n", + "R fits weighted least squares with `lm(..., weight=...)` and compares coefficients.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " house_lm house_wt\n", + "(Intercept) -521871.368 -584189.329\n", + "SqFtTotLiving 228.831 245.024\n", + "SqFtLot -0.060 -0.292\n", + "Bathrooms -19442.840 -26085.970\n", + "Bedrooms -47769.955 -53608.876\n", + "BldgGrade 106106.963 115242.435\n" + ] + } + ], + "source": [ + "%%R\n", + "house$Year = year(house$DocumentDate)\n", + "house$Weight = house$Year - 2005\n", + "\n", + "house_wt <- lm(AdjSalePrice ~ SqFtTotLiving + SqFtLot + Bathrooms + \n", + " Bedrooms + BldgGrade,\n", + " data=house, weight=Weight, na.action=na.omit)\n", + "round(cbind(house_lm=house_lm$coefficients, \n", + " house_wt=house_wt$coefficients), digits=3)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Summary: Weighted regression\n", + "\n", + "| Operation | Python | R | Notes |\n", + "|---|---|---|---|\n", + "| Weighted fitting | `fit(..., sample_weight=...)` | `lm(..., weight=...)` | Same weighted least-squares objective. |\n", + "| Coefficient comparison | compare weighted/unweighted models | compare weighted/unweighted models | Both evaluate weight impact on estimates. |\n", + "| Use case | heterogeneous variance handling | heterogeneous variance handling | Equivalent practical rationale. |\n", + "\n", + "Python treats weights as estimator arguments, while R integrates weighting naturally into formula calls.\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Factor variables in regression\n", + "## Dummy Variables Representation" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Python" + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "1 Multiplex\n", + "2 Single Family\n", + "3 Single Family\n", + "4 Single Family\n", + "5 Single Family\n", + "Name: PropertyType, dtype: str\n" + ] + } + ], + "source": [ + "print(house.PropertyType.head())" + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " Multiplex Single Family Townhouse\n", + "1 True False False\n", + "2 False True False\n", + "3 False True False\n", + "4 False True False\n", + "5 False True False\n", + "6 False False True\n" + ] + } + ], + "source": [ + "print(pd.get_dummies(house['PropertyType']).head(6))" + ] + }, + { + "cell_type": "code", + "execution_count": 36, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " Single Family Townhouse\n", + "1 False False\n", + "2 True False\n", + "3 True False\n", + "4 True False\n", + "5 True False\n", + "6 False True\n" + ] + } + ], + "source": [ + "print(pd.get_dummies(house['PropertyType'], drop_first=True).head(6))" + ] + }, + { + "cell_type": "code", + "execution_count": 37, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Intercept: -446841.366\n", + "Coefficients:\n", + " SqFtTotLiving: 223.37362892503828\n", + " SqFtLot: -0.07036798136813083\n", + " Bathrooms: -15979.013473415205\n", + " Bedrooms: -50889.73218483025\n", + " BldgGrade: 109416.30516146179\n", + " PropertyType_Single Family: -84678.21629549257\n", + " PropertyType_Townhouse: -115121.97921609184\n" + ] + } + ], + "source": [ + "predictors = ['SqFtTotLiving', 'SqFtLot', 'Bathrooms', 'Bedrooms',\n", + " 'BldgGrade', 'PropertyType']\n", + "\n", + "X = pd.get_dummies(house[predictors], drop_first=True)\n", + "\n", + "house_lm_factor = LinearRegression()\n", + "house_lm_factor.fit(X, house[outcome])\n", + "\n", + "print(f'Intercept: {house_lm_factor.intercept_:.3f}')\n", + "print('Coefficients:')\n", + "for name, coef in zip(X.columns, house_lm_factor.coef_):\n", + " print(f' {name}: {coef}')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### R\n", + "R mirrors the Python workflow in this section using idiomatic statistical functions.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 38, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[1] \"Multiplex\" \"Single Family\" \"Single Family\" \"Single Family\"\n", + "[5] \"Single Family\" \"Townhouse\" \n" + ] + } + ], + "source": [ + "%%R\n", + "head(house[, 'PropertyType'])" + ] + }, + { + "cell_type": "code", + "execution_count": 39, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " PropertyTypeMultiplex PropertyTypeSingle Family PropertyTypeTownhouse\n", + "1 1 0 0\n", + "2 0 1 0\n", + "3 0 1 0\n", + "4 0 1 0\n", + "5 0 1 0\n", + "6 0 0 1\n" + ] + } + ], + "source": [ + "%%R\n", + "prop_type_dummies <- model.matrix(~PropertyType -1, data=house)\n", + "head(prop_type_dummies)" + ] + }, + { + "cell_type": "code", + "execution_count": 40, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "Call:\n", + "lm(formula = AdjSalePrice ~ SqFtTotLiving + SqFtLot + Bathrooms + \n", + " Bedrooms + BldgGrade + PropertyType, data = house)\n", + "\n", + "Coefficients:\n", + " (Intercept) SqFtTotLiving \n", + " -4.468e+05 2.234e+02 \n", + " SqFtLot Bathrooms \n", + " -7.037e-02 -1.598e+04 \n", + " Bedrooms BldgGrade \n", + " -5.089e+04 1.094e+05 \n", + "PropertyTypeSingle Family PropertyTypeTownhouse \n", + " -8.468e+04 -1.151e+05 \n", + "\n" + ] + } + ], + "source": [ + "%%R\n", + "lm(AdjSalePrice ~ SqFtTotLiving + SqFtLot + Bathrooms + \n", + " Bedrooms + BldgGrade + PropertyType, data=house)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Summary: Factor variables in regression\n", + "\n", + "| Operation | Python | R | Notes |\n", + "|---|---|---|---|\n", + "| Category encoding | `pd.get_dummies()` | factor terms in `lm` | Both translate categories into design columns. |\n", + "| Reference level | `drop_first=True` | implicit baseline factor | Interpretation is equivalent. |\n", + "| Design matrix control | explicit dataframe transforms | `model.matrix()` / formula internals | Python is explicit; R is implicit via formulas. |\n", + "\n", + "Python exposes category encoding as explicit preprocessing, while R delegates it to formula/factor machinery.\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Factor Variables with many levels" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Python" + ] + }, + { + "cell_type": "code", + "execution_count": 41, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "ZipCode 98038 98103 98042 98115 98117 98052 98034 98033 98059 98074 \\\n", + "count 788 671 641 620 619 614 575 517 513 502 \n", + "\n", + "ZipCode ... 98051 98024 98354 98050 98057 98288 98224 98068 98113 \\\n", + "count ... 32 31 9 7 4 4 3 1 1 \n", + "\n", + "ZipCode 98043 \n", + "count 1 \n", + "\n", + "[1 rows x 80 columns]\n" + ] + } + ], + "source": [ + "print(pd.DataFrame(house['ZipCode'].value_counts()).transpose())" + ] + }, + { + "cell_type": "code", + "execution_count": 42, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "ZipGroup\n", + "0 16\n", + "1 16\n", + "2 16\n", + "3 16\n", + "4 16\n", + "Name: count, dtype: int64\n" + ] + } + ], + "source": [ + "house = pd.read_csv(HOUSE_CSV, sep='\\t')\n", + "\n", + "predictors = ['SqFtTotLiving', 'SqFtLot', 'Bathrooms', \n", + " 'Bedrooms', 'BldgGrade']\n", + "outcome = 'AdjSalePrice'\n", + "\n", + "house_lm = LinearRegression()\n", + "house_lm.fit(house[predictors], house[outcome])\n", + "\n", + "\n", + "zip_residuals = pd.DataFrame({\n", + " 'ZipCode': house['ZipCode'],\n", + " 'residual' : house[outcome] - house_lm.predict(house[predictors]),\n", + "})\n", + "\n", + "zip_groups = pd.DataFrame([\n", + " {\n", + " 'ZipCode': zipCode,\n", + " 'count': len(x),\n", + " 'median_residual': x.residual.median()\n", + " } \n", + " for zipCode, x in zip_residuals.groupby('ZipCode')\n", + "]).sort_values('median_residual')\n", + "\n", + "zip_groups['cum_count'] = np.cumsum(zip_groups['count'])\n", + "zip_groups['ZipGroup'] = pd.qcut(zip_groups['cum_count'], 5, labels=False, retbins=False)\n", + "zip_groups.head()\n", + "print(zip_groups.ZipGroup.value_counts().sort_index())" + ] + }, + { + "cell_type": "code", + "execution_count": 43, + "metadata": {}, + "outputs": [], + "source": [ + "to_join = zip_groups[['ZipCode', 'ZipGroup']].set_index('ZipCode')\n", + "house = house.join(to_join, on='ZipCode')\n", + "house['ZipGroup'] = house['ZipGroup'].astype('category')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### R\n", + "R groups ZIP effects from residual summaries and joins them back for refitting.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 44, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "98001 98002 98003 98004 98005 98006 98007 98008 98010 98011 98014 98019 98022 \n", + " 358 180 241 293 133 460 112 291 56 163 85 242 188 \n", + "98023 98024 98027 98028 98029 98030 98031 98032 98033 98034 98038 98039 98040 \n", + " 455 31 366 252 475 263 308 121 517 575 788 47 244 \n", + "98042 98043 98045 98047 98050 98051 98052 98053 98055 98056 98057 98058 98059 \n", + " 641 1 222 48 7 32 614 499 332 402 4 420 513 \n", + "98065 98068 98070 98072 98074 98075 98077 98092 98102 98103 98105 98106 98107 \n", + " 430 1 89 245 502 388 204 289 106 671 313 361 296 \n", + "98108 98109 98112 98113 98115 98116 98117 98118 98119 98122 98125 98126 98133 \n", + " 155 149 357 1 620 364 619 492 260 380 409 473 465 \n", + "98136 98144 98146 98148 98155 98166 98168 98177 98178 98188 98198 98199 98224 \n", + " 310 332 287 40 358 193 332 216 266 101 225 393 3 \n", + "98288 98354 \n", + " 4 9 \n" + ] + } + ], + "source": [ + "%%R\n", + "table(house$ZipCode)" + ] + }, + { + "cell_type": "code", + "execution_count": 45, + "metadata": {}, + "outputs": [], + "source": [ + "%%R\n", + "zip_groups <- house %>%\n", + " mutate(resid = residuals(house_lm)) %>%\n", + " group_by(ZipCode) %>%\n", + " summarize(med_resid = median(resid),\n", + " cnt = n()) %>%\n", + " # sort the zip codes by the median residual\n", + " arrange(med_resid) %>%\n", + " mutate(cum_cnt = cumsum(cnt),\n", + " ZipGroup = factor(ntile(cum_cnt, 5)))\n", + "house <- house %>%\n", + " left_join(dplyr::select(zip_groups, ZipCode, ZipGroup), by='ZipCode')" + ] + }, + { + "cell_type": "code", + "execution_count": 46, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "ZipGroup\n", + " 1 2 3 4 5 \n", + "16 16 16 16 16 \n" + ] + } + ], + "source": [ + "%%R\n", + "table(zip_groups[c('ZipGroup')])" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Summary: Factor Variables with many levels\n", + "\n", + "| Operation | Python | R | Notes |\n", + "|---|---|---|---|\n", + "| High-cardinality handling | residual grouping + quantile bins | residual grouping + `ntile()` | Both reduce sparse-level noise. |\n", + "| Grouping merge | `DataFrame.join()` | `left_join()` | Equivalent integration before refitting. |\n", + "| Model simplification | replace many levels with grouped label | replace many levels with grouped label | Both improve interpretability/stability. |\n", + "\n", + "Both workflows solve the same sparsity issue; Python uses explicit tabular transforms, R uses concise dplyr pipelines.\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Interpreting the Regression Equation\n", + "## Correlated predictors" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Python" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The results from the stepwise regression are." + ] + }, + { + "cell_type": "code", + "execution_count": 47, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Intercept: 6178645.017\n", + "Coefficients:\n", + " SqFtTotLiving: 199.2775530420188\n", + " BldgGrade: 137159.56022619782\n", + " YrBuilt: -3565.4249392492984\n", + " Bedrooms: -51947.38367361323\n", + " Bathrooms: 42396.16452771774\n", + " PropertyType_Townhouse: 84479.16203300416\n", + " SqFtFinBasement: 7.046974967553979\n", + " PropertyType_Single Family: 22912.055187017646\n" + ] + } + ], + "source": [ + "print(f'Intercept: {best_model.intercept_:.3f}')\n", + "print('Coefficients:')\n", + "for name, coef in zip(best_variables, best_model.coef_):\n", + " print(f' {name}: {coef}')" + ] + }, + { + "cell_type": "code", + "execution_count": 48, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Intercept: 4913973.344\n", + "Coefficients:\n", + " Bedrooms: 27150.537230215377\n", + " BldgGrade: 248997.79366213758\n", + " YrBuilt: -3211.7448621550866\n", + " PropertyType_Single Family: -19898.495340502435\n", + " PropertyType_Townhouse: -47355.4368733449\n" + ] + } + ], + "source": [ + "predictors = ['Bedrooms', 'BldgGrade', 'PropertyType', 'YrBuilt']\n", + "outcome = 'AdjSalePrice'\n", + "\n", + "X = pd.get_dummies(house[predictors], drop_first=True)\n", + "\n", + "reduced_lm = LinearRegression()\n", + "reduced_lm.fit(X, house[outcome])\n", + "\n", + "print(f'Intercept: {reduced_lm.intercept_:.3f}')\n", + "print('Coefficients:')\n", + "for name, coef in zip(X.columns, reduced_lm.coef_):\n", + " print(f' {name}: {coef}')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### R\n", + "R mirrors the Python workflow in this section using idiomatic statistical functions.\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The results from the stepwise regression are." + ] + }, + { + "cell_type": "code", + "execution_count": 49, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " (Intercept) SqFtTotLiving Bathrooms \n", + " 6.178645e+06 1.992776e+02 4.239616e+04 \n", + " Bedrooms BldgGrade PropertyTypeSingle Family \n", + " -5.194738e+04 1.371596e+05 2.291206e+04 \n", + " PropertyTypeTownhouse SqFtFinBasement YrBuilt \n", + " 8.447916e+04 7.046975e+00 -3.565425e+03 \n" + ] + } + ], + "source": [ + "%%R\n", + "step_lm$coefficients" + ] + }, + { + "cell_type": "code", + "execution_count": 50, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "Call:\n", + "lm(formula = AdjSalePrice ~ Bedrooms + BldgGrade + PropertyType + \n", + " YrBuilt, data = house, na.action = na.omit)\n", + "\n", + "Coefficients:\n", + " (Intercept) Bedrooms \n", + " 4913973 27151 \n", + " BldgGrade PropertyTypeSingle Family \n", + " 248998 -19898 \n", + " PropertyTypeTownhouse YrBuilt \n", + " -47355 -3212 \n", + "\n" + ] + } + ], + "source": [ + "%%R\n", + "update(step_lm, . ~ . -SqFtTotLiving - SqFtFinBasement - Bathrooms)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Summary: Interpreting the Regression Equation\n", + "\n", + "| Operation | Python | R | Notes |\n", + "|---|---|---|---|\n", + "| Coefficient reading | manual coefficient inspection | `coefficients` access | Both interpret signed effect sizes. |\n", + "| Refit for interpretation | reduced-model refits | `update(...)` refits | Both test stability of effects. |\n", + "| Practical meaning | feature-level narrative | feature-level narrative | Interpretation goals are the same. |\n", + "\n", + "Python tends to expose model pieces explicitly, while R encourages concise iterative formula updates.\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Confounding variables" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Python" + ] + }, + { + "cell_type": "code", + "execution_count": 51, + "metadata": { + "scrolled": true + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Intercept: -666637.469\n", + "Coefficients:\n", + " SqFtTotLiving: 210.61266005580154\n", + " SqFtLot: 0.45498713854658845\n", + " Bathrooms: 5928.42564000163\n", + " Bedrooms: -41682.87184074476\n", + " BldgGrade: 98541.18352725972\n", + " PropertyType_Single Family: 19323.6252879192\n", + " PropertyType_Townhouse: -78198.720927624\n", + " ZipGroup_1: 53317.17330659817\n", + " ZipGroup_2: 116251.58883563551\n", + " ZipGroup_3: 178360.53178793378\n", + " ZipGroup_4: 338408.60185652034\n" + ] + } + ], + "source": [ + "predictors = ['SqFtTotLiving', 'SqFtLot', 'Bathrooms', 'Bedrooms',\n", + " 'BldgGrade', 'PropertyType', 'ZipGroup']\n", + "outcome = 'AdjSalePrice'\n", + "\n", + "X = pd.get_dummies(house[predictors], drop_first=True)\n", + "\n", + "confounding_lm = LinearRegression()\n", + "confounding_lm.fit(X, house[outcome])\n", + "\n", + "print(f'Intercept: {confounding_lm.intercept_:.3f}')\n", + "print('Coefficients:')\n", + "for name, coef in zip(X.columns, confounding_lm.coef_):\n", + " print(f' {name}: {coef}')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### R\n", + "R adds `ZipGroup` to inspect coefficient shifts under confounding.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 52, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "Call:\n", + "lm(formula = AdjSalePrice ~ SqFtTotLiving + SqFtLot + Bathrooms + \n", + " Bedrooms + BldgGrade + PropertyType + ZipGroup, data = house, \n", + " na.action = na.omit)\n", + "\n", + "Coefficients:\n", + " (Intercept) SqFtTotLiving \n", + " -6.666e+05 2.106e+02 \n", + " SqFtLot Bathrooms \n", + " 4.550e-01 5.928e+03 \n", + " Bedrooms BldgGrade \n", + " -4.168e+04 9.854e+04 \n", + "PropertyTypeSingle Family PropertyTypeTownhouse \n", + " 1.932e+04 -7.820e+04 \n", + " ZipGroup2 ZipGroup3 \n", + " 5.332e+04 1.163e+05 \n", + " ZipGroup4 ZipGroup5 \n", + " 1.784e+05 3.384e+05 \n", + "\n" + ] + } + ], + "source": [ + "%%R\n", + "lm(AdjSalePrice ~ SqFtTotLiving + SqFtLot + \n", + " Bathrooms + Bedrooms + \n", + " BldgGrade + PropertyType + ZipGroup,\n", + " data=house, na.action=na.omit)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Summary: Confounding variables\n", + "\n", + "| Operation | Python | R | Notes |\n", + "|---|---|---|---|\n", + "| Confounder inclusion | add confounder and refit | add confounder in formula | Same adjustment strategy. |\n", + "| Effect comparison | coefficient shift analysis | coefficient shift analysis | Both diagnose confounding via estimate changes. |\n", + "| Model interpretation | before/after comparison | before/after comparison | Equivalent causal caution workflow. |\n", + "\n", + "The statistical logic is identical; R expresses adjustments compactly in formulas, Python is more stepwise/explicit.\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Interactions and Main Effects" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Python" + ] + }, + { + "cell_type": "code", + "execution_count": 53, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " OLS Regression Results \n", + "==============================================================================\n", + "Dep. Variable: AdjSalePrice R-squared: 0.682\n", + "Model: OLS Adj. R-squared: 0.682\n", + "Method: Least Squares F-statistic: 3247.\n", + "Date: Wed, 15 Apr 2026 Prob (F-statistic): 0.00\n", + "Time: 17:36:29 Log-Likelihood: -3.1098e+05\n", + "No. Observations: 22687 AIC: 6.220e+05\n", + "Df Residuals: 22671 BIC: 6.221e+05\n", + "Df Model: 15 \n", + "Covariance Type: nonrobust \n", + "=================================================================================================\n", + " coef std err t P>|t| [0.025 0.975]\n", + "-------------------------------------------------------------------------------------------------\n", + "Intercept -4.853e+05 2.05e+04 -23.701 0.000 -5.25e+05 -4.45e+05\n", + "ZipGroup[T.1] -1.113e+04 1.34e+04 -0.830 0.407 -3.74e+04 1.52e+04\n", + "ZipGroup[T.2] 2.032e+04 1.18e+04 1.717 0.086 -2877.441 4.35e+04\n", + "ZipGroup[T.3] 2.05e+04 1.21e+04 1.697 0.090 -3180.870 4.42e+04\n", + "ZipGroup[T.4] -1.499e+05 1.13e+04 -13.285 0.000 -1.72e+05 -1.28e+05\n", + "PropertyType[T.Single Family] 1.357e+04 1.39e+04 0.975 0.330 -1.37e+04 4.09e+04\n", + "PropertyType[T.Townhouse] -5.884e+04 1.51e+04 -3.888 0.000 -8.85e+04 -2.92e+04\n", + "SqFtTotLiving 114.7650 4.863 23.600 0.000 105.233 124.297\n", + "SqFtTotLiving:ZipGroup[T.1] 32.6043 5.712 5.708 0.000 21.409 43.799\n", + "SqFtTotLiving:ZipGroup[T.2] 41.7822 5.187 8.056 0.000 31.616 51.948\n", + "SqFtTotLiving:ZipGroup[T.3] 69.3415 5.619 12.341 0.000 58.329 80.354\n", + "SqFtTotLiving:ZipGroup[T.4] 226.6836 4.820 47.032 0.000 217.237 236.131\n", + "SqFtLot 0.6869 0.052 13.296 0.000 0.586 0.788\n", + "Bathrooms -3619.4533 3202.296 -1.130 0.258 -9896.174 2657.267\n", + "Bedrooms -4.18e+04 2120.279 -19.715 0.000 -4.6e+04 -3.76e+04\n", + "BldgGrade 1.047e+05 2069.472 50.592 0.000 1.01e+05 1.09e+05\n", + "==============================================================================\n", + "Omnibus: 30927.394 Durbin-Watson: 1.581\n", + "Prob(Omnibus): 0.000 Jarque-Bera (JB): 34361794.502\n", + "Skew: 7.279 Prob(JB): 0.00\n", + "Kurtosis: 193.101 Cond. No. 5.80e+05\n", + "==============================================================================\n", + "\n", + "Notes:\n", + "[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n", + "[2] The condition number is large, 5.8e+05. This might indicate that there are\n", + "strong multicollinearity or other numerical problems.\n" + ] + } + ], + "source": [ + "model = smf.ols(formula='AdjSalePrice ~ SqFtTotLiving*ZipGroup + SqFtLot + ' +\n", + " 'Bathrooms + Bedrooms + BldgGrade + PropertyType', data=house)\n", + "results = model.fit()\n", + "print(results.summary())" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "> Results differ from R due to different binning. Enforcing the same binning gives identical results" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### R\n", + "R models interactions directly with formula syntax (`SqFtTotLiving*ZipGroup`).\n" + ] + }, + { + "cell_type": "code", + "execution_count": 54, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "Call:\n", + "lm(formula = AdjSalePrice ~ SqFtTotLiving * ZipGroup + SqFtLot + \n", + " Bathrooms + Bedrooms + BldgGrade + PropertyType, data = house, \n", + " na.action = na.omit)\n", + "\n", + "Coefficients:\n", + " (Intercept) SqFtTotLiving \n", + " -4.853e+05 1.148e+02 \n", + " ZipGroup2 ZipGroup3 \n", + " -1.113e+04 2.032e+04 \n", + " ZipGroup4 ZipGroup5 \n", + " 2.050e+04 -1.499e+05 \n", + " SqFtLot Bathrooms \n", + " 6.869e-01 -3.619e+03 \n", + " Bedrooms BldgGrade \n", + " -4.180e+04 1.047e+05 \n", + "PropertyTypeSingle Family PropertyTypeTownhouse \n", + " 1.357e+04 -5.884e+04 \n", + " SqFtTotLiving:ZipGroup2 SqFtTotLiving:ZipGroup3 \n", + " 3.260e+01 4.178e+01 \n", + " SqFtTotLiving:ZipGroup4 SqFtTotLiving:ZipGroup5 \n", + " 6.934e+01 2.267e+02 \n", + "\n" + ] + } + ], + "source": [ + "%%R\n", + "lm(AdjSalePrice ~ SqFtTotLiving*ZipGroup + SqFtLot + \n", + " Bathrooms + Bedrooms + \n", + " BldgGrade + PropertyType,\n", + " data=house, na.action=na.omit)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Summary: Interactions and Main Effects\n", + "\n", + "| Operation | Python | R | Notes |\n", + "|---|---|---|---|\n", + "| Interaction term | formula with `*` | formula with `*` | Syntax and meaning are closely aligned. |\n", + "| Main effects | included with interaction expansion | included with interaction expansion | Both follow standard hierarchical modeling. |\n", + "| Interpretation | combined slope/offset effects | combined slope/offset effects | Equivalent interpretation of effect modification. |\n", + "\n", + "Both languages support interaction modeling similarly; main differences are in reporting and plotting idioms.\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Testing the Assumptions: Regression Diagnostics\n", + "## Outliers" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Python" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The _statsmodels_ package has the most developed support for outlier analysis. " + ] + }, + { + "cell_type": "code", + "execution_count": 55, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " OLS Regression Results \n", + "==============================================================================\n", + "Dep. Variable: AdjSalePrice R-squared: 0.795\n", + "Model: OLS Adj. R-squared: 0.792\n", + "Method: Least Squares F-statistic: 238.7\n", + "Date: Wed, 15 Apr 2026 Prob (F-statistic): 1.69e-103\n", + "Time: 17:36:29 Log-Likelihood: -4226.0\n", + "No. Observations: 313 AIC: 8464.\n", + "Df Residuals: 307 BIC: 8486.\n", + "Df Model: 5 \n", + "Covariance Type: nonrobust \n", + "=================================================================================\n", + " coef std err t P>|t| [0.025 0.975]\n", + "---------------------------------------------------------------------------------\n", + "SqFtTotLiving 209.6023 24.408 8.587 0.000 161.574 257.631\n", + "SqFtLot 38.9333 5.330 7.305 0.000 28.445 49.421\n", + "Bathrooms 2282.2641 2e+04 0.114 0.909 -3.7e+04 4.16e+04\n", + "Bedrooms -2.632e+04 1.29e+04 -2.043 0.042 -5.17e+04 -973.867\n", + "BldgGrade 1.3e+05 1.52e+04 8.533 0.000 1e+05 1.6e+05\n", + "const -7.725e+05 9.83e+04 -7.861 0.000 -9.66e+05 -5.79e+05\n", + "==============================================================================\n", + "Omnibus: 82.127 Durbin-Watson: 1.508\n", + "Prob(Omnibus): 0.000 Jarque-Bera (JB): 586.561\n", + "Skew: 0.859 Prob(JB): 4.26e-128\n", + "Kurtosis: 9.483 Cond. No. 5.63e+04\n", + "==============================================================================\n", + "\n", + "Notes:\n", + "[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n", + "[2] The condition number is large, 5.63e+04. This might indicate that there are\n", + "strong multicollinearity or other numerical problems.\n" + ] + } + ], + "source": [ + "house_98105 = house.loc[house['ZipCode'] == 98105, ]\n", + "\n", + "predictors = ['SqFtTotLiving', 'SqFtLot', 'Bathrooms', 'Bedrooms',\n", + " 'BldgGrade']\n", + "outcome = 'AdjSalePrice'\n", + "\n", + "house_outlier = sm.OLS(house_98105[outcome], house_98105[predictors].assign(const=1))\n", + "result_98105 = house_outlier.fit()\n", + "print(result_98105.summary())" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The `OLSInfluence` class is initialized with the OLS regression results and gives access to a number of usefule properties. Here we use the studentized residuals. " + ] + }, + { + "cell_type": "code", + "execution_count": 56, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "24333 -4.32673180407856\n" + ] + } + ], + "source": [ + "influence = OLSInfluence(result_98105)\n", + "sresiduals = influence.resid_studentized_internal\n", + "\n", + "print(sresiduals.idxmin(), sresiduals.min())" + ] + }, + { + "cell_type": "code", + "execution_count": 57, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "-757753.6192115822\n" + ] + } + ], + "source": [ + "print(result_98105.resid.loc[sresiduals.idxmin()])" + ] + }, + { + "cell_type": "code", + "execution_count": 58, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "AdjSalePrice 119748.0\n", + "SqFtTotLiving 2900\n", + "SqFtLot 7276\n", + "Bathrooms 3.0\n", + "Bedrooms 6\n", + "BldgGrade 7\n", + "Name: 24333, dtype: object\n" + ] + } + ], + "source": [ + "outlier = house_98105.loc[sresiduals.idxmin(), :]\n", + "print('AdjSalePrice', outlier[outcome])\n", + "print(outlier[predictors])" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### R\n", + "R mirrors the Python workflow in this section using idiomatic statistical functions.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 59, + "metadata": {}, + "outputs": [], + "source": [ + "%%R\n", + "house_98105 <- house[house$ZipCode == 98105,]\n", + "lm_98105 <- lm(AdjSalePrice ~ SqFtTotLiving + SqFtLot + Bathrooms + \n", + " Bedrooms + BldgGrade, data=house_98105)" + ] + }, + { + "cell_type": "code", + "execution_count": 60, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "Call:\n", + "lm(formula = AdjSalePrice ~ SqFtTotLiving + SqFtLot + Bathrooms + \n", + " Bedrooms + BldgGrade, data = house_98105)\n", + "\n", + "Residuals:\n", + " Min 1Q Median 3Q Max \n", + "-757754 -91807 -9668 77586 953911 \n", + "\n", + "Coefficients:\n", + " Estimate Std. Error t value Pr(>|t|) \n", + "(Intercept) -772549.86 98277.27 -7.861 6.51e-14 ***\n", + "SqFtTotLiving 209.60 24.41 8.587 4.54e-16 ***\n", + "SqFtLot 38.93 5.33 7.305 2.41e-12 ***\n", + "Bathrooms 2282.26 19983.57 0.114 0.9091 \n", + "Bedrooms -26320.27 12881.09 -2.043 0.0419 * \n", + "BldgGrade 130000.10 15234.12 8.533 6.63e-16 ***\n", + "---\n", + "Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1\n", + "\n", + "Residual standard error: 178500 on 307 degrees of freedom\n", + "Multiple R-squared: 0.7954,\tAdjusted R-squared: 0.7921 \n", + "F-statistic: 238.7 on 5 and 307 DF, p-value: < 2.2e-16\n", + "\n" + ] + } + ], + "source": [ + "%%R\n", + "summary(lm_98105)" + ] + }, + { + "cell_type": "code", + "execution_count": 61, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " 20429 \n", + "-757753.6 \n" + ] + } + ], + "source": [ + "%%R\n", + "sresid <- rstandard(lm_98105)\n", + "idx <- order(sresid, decreasing=FALSE)\n", + "sresid[idx[1]]\n", + "resid(lm_98105)[idx[1]]" + ] + }, + { + "cell_type": "code", + "execution_count": 62, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " AdjSalePrice SqFtTotLiving SqFtLot Bathrooms Bedrooms BldgGrade\n", + "20429 119748 2900 7276 3 6 7\n" + ] + } + ], + "source": [ + "%%R\n", + "house_98105[idx[1], c('AdjSalePrice', 'SqFtTotLiving', 'SqFtLot',\n", + " 'Bathrooms', 'Bedrooms', 'BldgGrade')]" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Summary: Testing the Assumptions: Regression Diagnostics\n", + "\n", + "| Operation | Python | R | Notes |\n", + "|---|---|---|---|\n", + "| Influence metrics | `OLSInfluence` tools | `rstandard()`, `hatvalues()`, `cooks.distance()` | Both quantify outliers and leverage. |\n", + "| Residual checks | diagnostic plots | diagnostic plots | Both inspect linearity and variance assumptions. |\n", + "| Action step | identify and review problematic points | identify and review problematic points | Same diagnostic workflow. |\n", + "\n", + "Python offers rich diagnostics through `statsmodels`, while R gives compact primitives that are easy to combine.\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Influential values" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Python" + ] + }, + { + "cell_type": "code", + "execution_count": 63, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "%matplotlib inline\n", + "from scipy.stats import linregress\n", + "\n", + "np.random.seed(5)\n", + "x = np.random.normal(size=25)\n", + "y = -x / 5 + np.random.normal(size=25)\n", + "x[0] = 8\n", + "y[0] = 8\n", + "\n", + "def abline(slope, intercept, ax):\n", + " \"\"\"Calculate coordinates of a line based on slope and intercept\"\"\"\n", + " x_vals = np.array(ax.get_xlim())\n", + " return (x_vals, intercept + slope * x_vals)\n", + "\n", + "fig, ax = plt.subplots(figsize=(4, 4))\n", + "ax.scatter(x, y)\n", + "slope, intercept, _, _, _ = linregress(x, y)\n", + "ax.plot(*abline(slope, intercept, ax))\n", + "slope, intercept, _, _, _ = linregress(x[1:], y[1:])\n", + "ax.plot(*abline(slope, intercept, ax), '--')\n", + "ax.set_xlim(-2.5, 8.5)\n", + "ax.set_ylim(-2.5, 8.5)\n", + "\n", + "plt.tight_layout()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The package _statsmodel_ provides a number of plots to analyze the data point influence" + ] + }, + { + "cell_type": "code", + "execution_count": 64, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "influence = OLSInfluence(result_98105)\n", + "fig, ax = plt.subplots(figsize=(5, 5))\n", + "ax.axhline(-2.5, linestyle='--', color='C1')\n", + "ax.axhline(2.5, linestyle='--', color='C1')\n", + "ax.scatter(influence.hat_matrix_diag, influence.resid_studentized_internal, \n", + " s=1000 * np.sqrt(influence.cooks_distance[0]),\n", + " alpha=0.5)\n", + "\n", + "ax.set_xlabel('hat values')\n", + "ax.set_ylabel('studentized residuals')\n", + "\n", + "plt.tight_layout()\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 65, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
\n", + "\n", + "\n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + "
OriginalInfluential removed
SqFtTotLiving209.602346230.052569
SqFtLot38.93331533.141600
Bathrooms2282.264145-16131.879785
Bedrooms-26320.268796-22887.865318
BldgGrade130000.099737114870.559737
const-772549.862447-647137.096716
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" + ], + "text/plain": [ + " Original Influential removed\n", + "SqFtTotLiving 209.602346 230.052569\n", + "SqFtLot 38.933315 33.141600\n", + "Bathrooms 2282.264145 -16131.879785\n", + "Bedrooms -26320.268796 -22887.865318\n", + "BldgGrade 130000.099737 114870.559737\n", + "const -772549.862447 -647137.096716" + ] + }, + "execution_count": 65, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "mask = [dist < .08 for dist in influence.cooks_distance[0]]\n", + "house_infl = house_98105.loc[mask]\n", + "\n", + "ols_infl = sm.OLS(house_infl[outcome], house_infl[predictors].assign(const=1))\n", + "result_infl = ols_infl.fit()\n", + "\n", + "pd.DataFrame({\n", + " 'Original': result_98105.params,\n", + " 'Influential removed': result_infl.params,\n", + "})" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### R\n", + "R visualizes leverage and Cook's distance, then refits after removing influential points.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 66, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "%%R\n", + "seed <- 11\n", + "set.seed(seed)\n", + "x <- rnorm(25)\n", + "y <- -x/5 + rnorm(25)\n", + "x[1] <- 8\n", + "y[1] <- 8\n", + "\n", + "plot(x, y, xlab='', ylab='', pch=16)\n", + "model <- lm(y~x)\n", + "abline(a=model$coefficients[1], b=model$coefficients[2], col=\"blue\", lwd=3)\n", + "model <- lm(y[-1]~x[-1])\n", + "abline(a=model$coefficients[1], b=model$coefficients[2], col=\"red\", lwd=3, lty=2)" + ] + }, + { + "cell_type": "code", + "execution_count": 67, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": "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", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "%%R\n", + "# influential observations\n", + "std_resid <- rstandard(lm_98105)\n", + "cooks_D <- cooks.distance(lm_98105)\n", + "hat_values <- hatvalues(lm_98105)\n", + "plot(subset(hat_values, cooks_D > 0.08), subset(std_resid, cooks_D > 0.08), \n", + " xlab='hat_values', ylab='std_resid',\n", + " cex=10*sqrt(subset(cooks_D, cooks_D > 0.08)), pch=16, col='lightgrey')\n", + "points(hat_values, std_resid, cex=10*sqrt(cooks_D))\n", + "abline(h=c(-2.5, 2.5), lty=2)" + ] + }, + { + "cell_type": "code", + "execution_count": 68, + "metadata": {}, + "outputs": [], + "source": [ + "%%R\n", + "lm_98105_inf <- lm(AdjSalePrice ~ SqFtTotLiving + SqFtLot + \n", + " Bathrooms + Bedrooms + BldgGrade,\n", + " subset=cooks_D<.08, data=house_98105)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Summary: Influential values\n", + "\n", + "| Operation | Python | R | Notes |\n", + "|---|---|---|---|\n", + "| Cook's distance | custom scatter/threshold checks | `cooks.distance()` plotting | Both flag influential observations. |\n", + "| Leverage | hat-value style diagnostics | `hatvalues()` | Equivalent leverage interpretation. |\n", + "| Refit after removal | model refit excluding points | model refit excluding points | Both test robustness of estimates. |\n", + "\n", + "R provides dedicated influence helpers in base workflow, while Python often combines several diagnostics for the same decisions.\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Heteroskedasticity, Non-Normality and Correlated Errors" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Python\n", + "Python uses `seaborn.regplot()` and histogram diagnostics to inspect residual patterns and normality assumptions.\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The `regplot` in _seaborn_ allows adding a lowess smoothing line to the scatterplot." + ] + }, + { + "cell_type": "code", + "execution_count": 69, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots(figsize=(5, 5))\n", + "sns.regplot(x=result_98105.fittedvalues, y=np.abs(result_98105.resid), \n", + " scatter_kws={'alpha': 0.25},\n", + " line_kws={'color': 'C1'},\n", + " lowess=True, ax=ax)\n", + "ax.set_xlabel('predicted')\n", + "ax.set_ylabel('abs(residual)')\n", + "\n", + "plt.tight_layout()\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 70, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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i/TIE8wsR7O2HCieWs7jUv4O7hoK/r3Xav5ETP1d/RLu0nNUpk1+dz3qg/vOf/yyHDh2SZ599Vr799lvp1auXdOzYUR5//HH57rvvftJ29HqD3bt3m8Xb4ax/Hzx40FzXMHnyZJk1a5asXLlS/vGPf8gf/vAHc6bR0KFDzfPbt28vAwYMkHHjxsm2bdvk/fffN0GlZyxxRhIA1MBZSdrRO3z4cHnllVdkzpw5sn//frnnnntMs4wexDUwzmfHjh1yzTXXmEVpDUT/1ova1NSpU2XSpEnmuoTu3bubINHTU8s3XS1btkzatWsn/fr1M6epakA9/fTTF1IsAAhrF3RWkh7Ytcbw4osvmovPNBS0Senrr782nbt6/YH+kq9K7969zfUKVdFaw8MPP2yWqugZSNnZ2RdSDADAhQaDNhdpH0NeXp75la4XnumtXj/g7R947rnnpHXr1v5sHgDgtGBYtGiR3HbbbTJmzBjrjKHy9PqCJUuWXOj+AQCcEAwVB7KrTO3atWX06NH+bB4A4LTOZ21G0g7ninTd888/H4j9AgA4KRj0yuHGjRtX2nz0yCOPBGK/AABOCga9zkA7mCtq1aqVeQwAEGbBoDWDDz/88Jz1f//736VRo0aB2C8AgJOC4dZbb5U777xTNmzYIKWlpWbRoSjuuusuc9UxACDMzkqaOXOmfPHFF+ZqY736Wen4RHq1M30MABCGwaCnor700ksmILT5SOdj7tSpk+ljAACE8ZAYbdu2NQsAIMyDQfsUdMgLHRJb50PQZqTytL8BABBGwaCdzBoMgwYNMkNt62B3AIAwDgYdTfXll182A+cBANwl0t/OZ53eEwDgPn4Fw913321mcDvfXAoAgDBqSnrvvffMxW1vvfWWXHXVVefMJfrqq68Gav8AAE4Ihvj4eBk2bFjg9wYA4Mxg0GG3AQDu5Fcfgzp79qy8/fbb8tRTT8mJEyfMukOHDsnJkycDuX8AACfUGL788ksZMGCAGWK7uLhYUlJSpH79+jJnzhxzf/HixYHfUwBA6NYY9AK3bt26ydGjR804SV7a76BXQwMAwqzG8O6778rmzZvN9QzltW7dWr755ptA7RsAwCk1Bh0bScdLqujrr782TUoAgDALhv79+8u8efN893WsJO10fuihhxgmAwDCsSnpsccek9TUVOnQoYOcPn1aRo4cKZ9++qk0btxY/vd//zfwewkACO1gaNGihZmgRwfT07mftbaQlpYmo0aNsjqjAQBhNFGPTun5+9//PrB7AwBwZjC88MIL531c534GAITZRD3llZSUSFFRkTl9NTY2NmDBoGc+ZWRkyF//+lfJz8+XhIQEGTNmjDz44IO+yYF0hFft9H7mmWfk2LFjct1118miRYvkiiuuCMg+AEC48eusJL2wrfyifQx5eXnSq1evgHY+65XUepD/y1/+Ivv27TP3586dKwsWLPA9R+/Pnz/fXG29detWqVu3rukY105xAMBF7GOoSH+hz5492/Q7fPzxxwHZpl5EN2TIEDOFqPcCOg2ebdu2+WoLetqs1iD0ed5mrqZNm8qKFStkxIgRAdkPAAgnUQHdWFSUGUgvUH75y1/K008/LZ988om0bdvWnAmlc0E8/vjj5vEDBw6YJqbk5GTfaxo0aCA9e/aU3NzcKoNBx3PSxauwsNDXJKZLoHm3GYxthxInlzOmVvUmnYqJ9Fi3/nDKv5OTP9fqcHs5S6pRLr+CYeXKldZ9/eX+7bffmiYfbeMPlPvvv98ctNu1aye1atUyfQ5/+tOfzGmxSkNBaQ2hPL3vfawyWVlZkpmZec76tWvXmj6SYMnJyZFw4MRyzu3h3+tmdivz+z1XrVolTuLEz9UfOS4tp/YDBzUYhg4dat3XjuDLLrtM+vbtay5+C5SXX35Zli1bJtnZ2WamuN27d8vkyZNNJ/To0aP93u60adMkPT3dd1/DJzEx0VzRHRcXJ8FIav2y6Si0FWe7cxMnl7NjxppqPV9rChoK03dESnHZ/z8Rorr2ZKSKEzj5c60Ot5ez8F8tI0ELBh0r6WK49957Ta3B2yTUqVMnM+S3/uLXYGjWrJlZf/jwYWnevLnvdXq/S5cuVW43JibGLBXplyGYX4hgbz9UOLGcxaX+Hdw1FPx9rdP+jZz4ufoj2qXlrE6Z/J6o52JVfSIj7V3UJiVvMLVp08aEQ/mhvjUV9eykpKSki76/AOAGftUYyjfD/BhvR7E/Bg8ebPoUWrZsaZqSPvjgA7O92267zdeEpU1Ls2bNMmdFaVBMnz7dNDVVbO4CAAQxGPQArYu2yV155ZVmnZ45pL/mf/GLX/ie570IzV96vYIe6P/zP/9TCgoKzAH/P/7jP2TGjBm+50ydOlVOnTol48ePNxe46bUUq1evljp16lzQewNAuIry95e8zrvw/PPPy6WXXmrW6YVuY8eOlV/96ldy9913B2Tn9D30OoXyQ3xXpOHz8MMPmwUAcOH86mPQM4+0A9gbCkr/1iadQJ6VBABwSDBoB+933313znpdd+LEiUDsFwDAScEwbNgw02z06quvmuk8dVm+fLmZk2H48OGB30sAQGj3MeiAdffcc4+Zuc17mbUOh6HB8F//9V+B3keEodb3v1nTuwCELb+CQYeNePLJJ00IfPbZZ2bd5ZdfbkY2BQA42wVd4KbjI+mi1xBoKOiYSQCAMAyGH374Qfr162dGPB04cKAJB6VNSYE6VRUA4KBgmDJlihl34+DBg9ZopLfccou5uAwAEGZ9DDo89Zo1a6RFixbWem1S0kHuAABhVmPQISgqm7fgyJEjlY5aCgBweTDosBc6hWb5YSl0xFOdf7lPnz6B3D8AgBOakjQAtPN5x44dcubMGTOQ3d69e02N4f333w/8XgIAQrvG0LFjRzOaqo5kOmTIENO0pFc864irej0DACCMagx6pfOAAQPM1c8PPPBAcPYKAOCcGoOepvrhhx8GZ28AAM5sSvr9738vS5YsCfzeAACc2fl89uxZefbZZ+Xtt9+Wrl27njNG0oVM5wkAcFAwfP7559K6dWvZs2ePbwpP7YQu70Kn8wQAOCgY9MpmHRdpw4YNviEw5s+fL02bNg3W/gEAQrmPoeLoqW+99ZY5VRUA4B4XNOw2w2wDQJgHg/YfVOxDoE8BAMK4j0FrCGPGjPENlHf69Gm5/fbbzzkrSeeCBgCEQTCMHj36nOsZAABhHAxLly4N3p4AAJzf+QwAcB+CAQBgIRgAAM4Khm+++cZ0cjdq1EguueQS6dSpk5kgqPyZUjNmzJDmzZubx5OTk+XTTz+t0X0GACcL6WA4evSoXHfddWaob73K+qOPPpLHHntMLr30Ums2OR2WQ+eH2Lp1qzl1NjU11ZxKCwC4SKOrXixz5syRxMRE62yoNm3aWLWFefPmyYMPPmhmklM6F7WO3bRixQoZMWJEjew3ADhZSNcYVq5cKd26dZPf/e530qRJE7nmmmvkmWee8T1+4MAByc/PN81HXg0aNJCePXtKbm5uDe01ADhbSNcYdJjvRYsWSXp6uvzxj3+U7du3y5133im1a9c2F9tpKKiKo7vqfe9jlSkuLjaLV2FhoW/aUl0CzbvNYGw7lASynDG17AEbQ01MpMe69YdTvg98f92hOt+3CE8Ij4SnAaA1hs2bN/vWaTBoQGiNQNdrH8ShQ4dM57PXzTffbMZweumllyrdbkZGhmRmZp6zPjs7W2JjY4NUGgCoOUVFRTJy5Eg5fvy4xMXFObfGoAf7Dh06WOvat28vy5cvN383a9bM3B4+fNgKBr3fpUuXKrc7bdo0UwspX2PQvoz+/fv/6D+Yv0mdk5MjKSkppiPdrQJZzo4ZaySUaU1hZrcymb4jUorL/Jucak9GqjgB31938LaM/BQhHQxaG8jLy7PW6YxxrVq18nVEazisW7fOFwRaeD076Y477qhyuzoIoHcgwPL0YBbMA3ewtx8qAlHO4lJnzASooeDvvjrtu8D319mq830L6WCYMmWK/PKXv5RHHnnENA9t27ZNnn76abMobS6aPHmyzJo1y8wup0Exffp0SUhIkKFDh9b07gOAI4V0MHTv3l1ee+010/Tz8MMPmwO/np46atQo33OmTp1qZpEbP368HDt2THr16iWrV6+WOnXq1Oi+A4BThXQwqN/85jdmqYrWGjQ0dAEAuPw6BgDAxUcwAAAsBAMAwEIwAAAsBAMAwEIwAAAsBAMAwEIwAAAsBAMAwEIwAAAsBAMAwEIwAAAsBAMAwEIwAAAsBAMAwFnzMQBu1fr+Ny/q+30xe9BFfT84FzUGAICFYAAAWAgGAICFYAAAWAgGAICFYAAAWAgGAICFYAAAWAgGAICFYAAAWAgGAICFYAAAODcYZs+eLRERETJ58mTfutOnT8uECROkUaNGUq9ePbnpppvk8OHDNbqfAOBkjgmG7du3y1NPPSVXX321tX7KlCny+uuvyyuvvCIbN26UQ4cOyfDhw2tsPwHA6RwRDCdPnpRRo0bJM888I5deeqlv/fHjx2XJkiXy+OOPS9++faVr166ydOlS2bx5s2zZsqVG9xkAnMoRwaBNRYMGDZLk5GRr/c6dO6WkpMRa365dO2nZsqXk5ubWwJ4CgPOF/EQ9L774ouzatcs0JVWUn58vtWvXlvj4eGt906ZNzWNVKS4uNotXYWGhudWQ0SXQvNsMxrZDSSDLGVPLI6EsJtJj3TqBv58L3193qM7nH9LB8NVXX8ldd90lOTk5UqdOnYBtNysrSzIzM89Zv3btWomNjZVg0XKEg0CUc24PcYSZ3crEKVatWnVBr+f762xFRUU/+bkRHo8nZH/yrFixQoYNGya1atXyrSstLTVnJkVGRsqaNWtMM9LRo0etWkOrVq3MmUvaMf1TawyJiYny/fffS1xcXFCSWv9TpaSkSHR0tLhVIMvZMWONhDKtKWgoTN8RKcVlEeIEezJS/Xod31930ONc48aNTd/sjx3nQrrG0K9fP/nHP/5hrRs7dqzpR7jvvvvMwVwPQOvWrTOnqaq8vDw5ePCgJCUlVbndmJgYs1Sk2wrmgTvY2w8VgShncakzDrYaCk7Z1wv9TPj+Olt1Pv+QDob69etLx44drXV169Y11yx416elpUl6ero0bNjQpOCkSZNMKFx77bU1tNcA4GwhHQw/xRNPPGGalbTGoM1Dqamp8uSTT9b0bgGAYzkuGN555x3rvnZKL1y40CwAgDC5jgEAcPEQDAAAC8EAALAQDAAAC8EAALAQDAAAC8EAALAQDAAAC8EAALAQDAAAC8EAALAQDAAAC8EAALAQDAAAC8EAALAQDAAAC8EAALAQDAAAC8EAALAQDAAAC8EAALAQDAAAC8EAALAQDAAAC8EAALAQDAAAC8EAALAQDAAAC8EAAHBWMGRlZUn37t2lfv360qRJExk6dKjk5eVZzzl9+rRMmDBBGjVqJPXq1ZObbrpJDh8+XGP7DABOFvLBsHHjRnPQ37Jli+Tk5EhJSYn0799fTp065XvOlClT5PXXX5dXXnnFPP/QoUMyfPjwGt1vAHCqKAlxq1evtu4/99xzpuawc+dO+fWvfy3Hjx+XJUuWSHZ2tvTt29c8Z+nSpdK+fXsTJtdee20N7TkAOFPIB0NFGgSqYcOG5lYDQmsRycnJvue0a9dOWrZsKbm5uZUGQ3FxsVm8CgsLza1uR5dA824zGNsOJYEsZ0wtj4SymEiPdesE/n4ufH/doTqff4TH43HMN7usrExuvPFGOXbsmLz33ntmndYUxo4dax3oVY8ePaRPnz4yZ86cc7aTkZEhmZmZ56zXbcXGxgaxBABQM4qKimTkyJHmx3VcXJx7agza17Bnzx5fKPhr2rRpkp6ebtUYEhMTTd/Fj/2D+ZvU2j+SkpIi0dHR4laBLGfHjDUSyrSmMLNbmUzfESnFZRHiBHsyUv16Hd9fd/C2jPwUjgmGiRMnyhtvvCGbNm2SFi1a+NY3a9ZMzpw5Y2oR8fHxvvV6VpI+VpmYmBizVKQHs2AeuIO9/VARiHIWlzrjYKuh4JR9vdDPhO+vs1Xn8w/5s5K0pUtD4bXXXpP169dLmzZtrMe7du1qCrxu3TrfOj2d9eDBg5KUlFQDewwAzhblhOYjbfv/29/+Zq5lyM/PN+sbNGggl1xyiblNS0szTUPaIa1NQZMmTTKhwBlJAODCYFi0aJG57d27t7VeT0kdM2aM+fuJJ56QyMhIc2GbdkKnpqbKk08+WSP7CwBOF/LB8FNOmqpTp44sXLjQLACACxPyfQwAgIuLYAAAWAgGAICFYAAAWAgGAICFYAAAWAgGAICFYAAAWAgGAICFYAAAWAgGAICFYAAAWAgGAICzRlcFEBit73/Tr9fF1PLI3B7/f7rV6s5W98XsQX69J2oWNQYAgIUaAwL2S/NCflkCCB3UGAAAFoIBAGAhGAAAFoIBAGAhGAAAFoIBAGAhGAAAFoIBAGAhGAAAFoIBAGAhGAAAFsZKCqNRMoFw+K5e7BFdW7uwjK6pMSxcuFBat24tderUkZ49e8q2bdtqepcAwJFcUWN46aWXJD09XRYvXmxCYd68eZKamip5eXnSpEmTGv+1wKijAJzEFTWGxx9/XMaNGydjx46VDh06mICIjY2VZ599tqZ3DQAcx/E1hjNnzsjOnTtl2rRpvnWRkZGSnJwsubm5NbpvAMJjpjq3cXwwfP/991JaWipNmza11uv9jz/+uNLXFBcXm8Xr+PHj5vbIkSNSUlJSrfePOnvqx59T5pGiojKJKomU0jL3fuHCpZyKsrqPkz7TH374odqvOXHihLn1eDzuDwZ/ZGVlSWZm5jnr27RpE7T3HCnhIVzKqSir+zjlM238mP+v1YBo0KCBu4OhcePGUqtWLTl8+LC1Xu83a9as0tdos5N2VnuVlZWZ2kKjRo0kIiLwvxQKCwslMTFRvvrqK4mLixO3CpdyKsrqPm7/TD0ejwmFhISEH32u44Ohdu3a0rVrV1m3bp0MHTrUd6DX+xMnTqz0NTExMWYpLz4+Puj7ql82N37hwrWcirK6T5yLv78/VlNwTTAo/fU/evRo6datm/To0cOcrnrq1ClzlhIAoHpcEQy33HKLfPfddzJjxgzJz8+XLl26yOrVq8/pkAYAhEkwKG02qqrpqKZps9VDDz10TvOV24RLORVldZ9w+kx/TITnp5y7BAAIG6648hkAEDgEAwDAQjAAACwEQw3RITn07Cm9oG737t3iNl988YWkpaWZq8kvueQSufzyy03Hno5t5QZuH+ZdRwfo3r271K9f34xQrNcI6WjF4WD27Nnm/+XkyZMlXBEMNWTq1Kk/6QpEp9JxqvRCw6eeekr27t0rTzzxhBn19o9//KO4ZZh3Dbpdu3ZJ586dzTDvBQUF4hYbN26UCRMmyJYtWyQnJ8eMIda/f39zfZCbbd++3Xxnr776aglrelYSLq5Vq1Z52rVr59m7d6+eEeb54IMPwuIjmDt3rqdNmzYep+vRo4dnwoQJvvulpaWehIQET1ZWlsetCgoKzHd148aNHrc6ceKE54orrvDk5OR4rr/+es9dd93lCVfUGC4yHcNJ5474n//5HzNnRDjRUWwbNmwobhjmXYd1D6dh3r0jEDv98zsfrSENGjTI+mzDlWsucHMCvWRkzJgxcvvtt5vhO7QdPlzs379fFixYII8++qiE2zDvTqdNgtreft1110nHjh3FjV588UXTLKhNSaCPISDuv/9+01l1vkUPGnpg1NENy08q5NaylvfNN9/IgAED5He/+52pLcF5v6T37NljDp5upKOp3nXXXbJs2TJzMgG48jkgdJymH5s442c/+5ncfPPN8vrrr1tDe+uvTx02fNSoUfL888+7pqw66q06dOiQ9O7dW6699lp57rnnTLOL05uStAnw//7v/3yj+SodxPHYsWPyt7/9TdxEh5nRMm3atCmo85XUpBUrVsiwYcPM/8Py/y8jIiLM91XPICz/WDhgSIyL6ODBg2bMdy89aOrZLHqQ0VMeW7RoIW6iNYU+ffqYYdH/+te/uuY/l35WOoqv1gC9TS0tW7Y0B1GtUbml2XPSpEny2muvyTvvvCNXXHGFuJXW4r/88ktr3dixY6Vdu3Zy3333ubb57HzoY7iI9OBRXr169cytnuPvxlDQmkKrVq1Mv4LWNLyqmkDJKcJhmHdtPsrOzja1Bb2WQUct9o7nr9eluImWr+LBv27dumbirnAMBUUwICj03HftcNalYug5fdzGcBjmfdGiReZWw728pUuXmhMo4G40JQEALM7uCQQABBzBAACwEAwAAAvBAACwEAwAAAvBAACwEAwAAAvBAACwEAxAJXRI9FCYdlUHHoyPjz/vczIyMszV14Gk4yNp+XVgQIQfggFhRYdzKD8qqhOG3/jkk09qejcQZhgrCQjiEN3e4cf9pQPWuW3QOoQ+agxwHR3GvFOnTuaAqiNk6lSNOvqpNrnonBc6Yqh3UiFtMlHbtm2Ta665xkzUoqOmfvDBB9V+X2+Tzn//93+buQu8k75oc8y///u/y2WXXSZxcXHSt29f+fvf/+57nf6tw5PrKJ/6uA5TvmPHjiqbkmbPnm0G7NPnp6WlyenTp63HdeA7nXGtPK0llR/8TqeW1XLqNnS025EjR0pBQUG1ywx3osYAV/n222/l1ltvlblz55rJV3Ss/XfffdeM6HrPPffIvn37zJwYOkqodw7jkydPym9+8xtJSUkx80YcOHDAzOjlDx1Ndvny5fLqq6/65p/Qmes0pN566y0zbPVTTz0l/fr1M01E+v46SZOGko5oqq/Rfo3o6OhKt//yyy+bAFq4cKH06tXLHODnz59vJkeqjpKSEpk5c6ZceeWVJhB0KHENjlWrVvlVbrgLwQDXBcPZs2dl+PDhZi4IpbUHLz1A64xc5eeE0F/lOtnOkiVLzK/8q666Sr7++mu54447/Go+euGFF0ztQL333numNqIH35iYGLNO56fQWcO0ZjN+/HgzgdO9995rJoZR55sUR+d+0FqCLmrWrFny9ttvn1Nr+DG33Xab728NFQ2X7t27m5D0zhOC8EVTElylc+fO5te4hoH+Un/mmWfk6NGj532N1iKuvvpqa77fpKQkv95fw8gbCt5mIj3YapOWHnC9i9ZKPvvsM/Mc/bWuTU3a5KXNRN71Ve2rziBXnj/7unPnThk8eLCZPEqbk66//nqzXkMKIBjgKtoUo5MEabNNhw4dzPSb2lyiB+KLQWf+Kk9DoXnz5qZ5qPySl5dnaglKm4b27t0rgwYNkvXr15v91ik1/aXzFFecDEmbjry0v0WnlNX+jGXLlsn27dt976c1HoBggOtop/J1110nmZmZphNZzwzyHvj0b53ovbz27dvLhx9+aDXHbNmyJSD78otf/MLM8hYVFSU///nPraVx48a+57Vt21amTJkia9euNc1g3j6QinRft27daq2ruK9aY9EmNS8t7549e3z3P/74Y/nhhx9M7eRXv/qVacKi4xnlEQxwFT1oPvLII+asHm0W0U5gnYZTD6iqdevWJgT0F/v3339vfknrGTkaJuPGjZOPPvrIdMBqP0BFegCt7i95bR7Sph49K0gP+nrh3ObNm+WBBx4w+/jPf/5TJk6caM6O0gnp33//ffML3ru/FWmn+LPPPmuCQzuvH3roIVPbKE/PenrzzTfNoiGgfSXlL1TT5iMNSK1Nff7557Jy5UrTEQ34eAAX+eijjzypqameyy67zBMTE+Np27atZ8GCBb7HCwoKPCkpKZ569eppW4tnw4YNZn1ubq6nc+fOntq1a3u6dOniWb58uXn8gw8+8L1W7y9durTK937ooYfMNioqLCz0TJo0yZOQkOCJjo72JCYmekaNGuU5ePCgp7i42DNixAizTt9bnzNx4kTPP//5T/Nafb8GDRpY2/vTn/7kady4sSnD6NGjPVOnTrXe98yZM5477rjD07BhQ0+TJk08WVlZniFDhpjnemVnZ3tat25t/o2SkpI8K1eutMqr/y56/+jRo35+EnAy5nwGAFhoSgIAWAgGAICFYAAAWAgGAICFYAAAWAgGAICFYAAAWAgGAICFYAAAWAgGAICFYAAAWAgGAICU9/8AZjyCaJsTMe8AAAAASUVORK5CYII=", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots(figsize=(4, 4))\n", + "pd.Series(influence.resid_studentized_internal).hist(ax=ax)\n", + "ax.set_xlabel('std. residual')\n", + "ax.set_ylabel('Frequency')\n", + "\n", + "\n", + "plt.tight_layout()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### R\n", + "R uses `ggplot2` smoothers and histograms to inspect residual assumptions.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 71, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "%%R\n", + "df <- data.frame(\n", + " resid = residuals(lm_98105),\n", + " pred = predict(lm_98105))\n", + "\n", + "graph <- ggplot(df, aes(pred, abs(resid))) +\n", + " geom_point() +\n", + " geom_smooth(formula=y~x, method='loess') +\n", + " scale_x_continuous(labels = function(x) format(x, scientific = FALSE)) +\n", + " theme_bw()\n", + "graph" + ] + }, + { + "cell_type": "code", + "execution_count": 72, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "%%R\n", + "hist(std_resid, main='')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Summary: Heteroskedasticity, Non-Normality and Correlated Errors\n", + "\n", + "| Operation | Python | R | Notes |\n", + "|---|---|---|---|\n", + "| Variance pattern | lowess trend on residual plots | `geom_smooth(method='loess')` | Both visually assess heteroskedasticity. |\n", + "| Distribution check | residual histogram | residual histogram | Equivalent normality inspection. |\n", + "| Correlation hint | pattern-based residual review | pattern-based residual review | Both rely on visual diagnostics first. |\n", + "\n", + "Python emphasizes explicit diagnostic layering, while R keeps assumption checks concise within ggplot pipelines.\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Partial Residual Plots and Nonlinearity" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Python" + ] + }, + { + "cell_type": "code", + "execution_count": 73, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots(figsize=(5, 5))\n", + "fig = sm.graphics.plot_ccpr(result_98105, 'SqFtTotLiving', ax=ax)\n", + "\n", + "plt.tight_layout()\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 74, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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CQbRjwJuBUBfTWV/Ei+OcenwumhSrBvIKgPa89fiuYNYchhYGlpZgsA5VMEfRQl30rk6OgSa+W5Z5H5h1NwWKQpbSvDACYOhaSvHaC7wUmJGHhwEgjAnHhBobBv62vuP4XVl+ZxHmBe9meteCzx6fBVTFNHAs7TtieW8YjJv+rv7555800rZ4dvg9m3owEGoHb46nwf2h5ge+ixrIR8HkDIxq5Ad58rtFCLEOPRWEeBh06ggfQFIrZpRNK2pDrhPJsQjHAVWqVFEhQeg80VFC3hOdK+QUO3XqJM2aNXPrtWFmEjKyOCdimJFsigRfyNFqcfWY0cd5IduKQQauEWEav/32mwojMU3KthdIxEKiFudEsjMGCRcvXlQJofCK4G9HwUAOBciQBAr9eszg4tptgRlchJxgAINZatOK2riOH3/80ehZwrOArCokZSHBizARzKRiwIpzmRb3chfwgOA8OB8GV5hBR+Ivnr9e3xXIBENqF941TW4Wg7kdO3YoKU98/lrYj71ozxSJ/kjEx+DVNIndXSA/BfKnGFhjcIzvJXIELPNAYEDCYIYBhe8dEp7xPYDB7+x1wQhHHRE8P/ye8Jl9/fXXygCEZwxejMKFCyupXnzv4cGA1DS8fzBGIPWLzxPfWXz/IVMMr4kt8L1u0KCBDB48WH0muA+ES1kzqpFIDkMTzx5ywngekJzGdWlCEpoRiv1w7fieYT8YtsjZQZ6NJ8F94feH54fvDWpV4HuN3wQmIzSxBHzGyB/C/cAohJGBNsXUw0cI0REPKk0RQkyATGevXr2UJCLkSbNnz25o0KCBklq9deuWcb87d+4YRo0apeQTIyIiDEWLFjUMGTLEbB9NhhEyqpbgZ24pUanJaprKaELCEfKhiYmJSio1S5YshgIFCijZTFPZVE3O8eWXXzYUKlRIXRPkMnEsU7lMW+e2JUF55swZtS/uD8eMiYlRcpNffvllGpnQmTNnWr0fUynJ69evGx577DFDrly51DZ75WVPnjyp7q1MmTKGTJkyqedQo0YNw1tvvaUkgU2BhCzkTnG9eFa9e/dWEqWmQL6zQoUKVp+BPZ+XJlu6e/duJduL7wnkb/v27Wu4efOm2Xtd/a5YkxvFZ41jxMXFqe9pdHS0oX79+oZx48YpiVFb3yfT+8E9mEqdQrYYkquQIM6oG7L1/OyRRIV06UMPPaQ+Qzyz5557zrBz506z7wpkjPG88Tni+w9J1zp16hh+/vnnDM+pfTaa3LIp+K7gWKbPc+vWrYbOnTsr6V3I9+J6//e//xmWLFmitkMm+ZVXXlHSxviccT34+/PPP8/wXi9cuGB44oknDDly5FDnxd84nzWJ1e+//94QGxurPs+qVasqKWNrx/zmm2/UbxvXiueD42j37KykbEZyubaOh3YJ33/8nvG7rF27tuH3339P817IGMfHxxvCw8MpL0uIhwnBP3oaLYQQ/wAz0Zh9thaeQbyHVmQP4SqOegUIIYQQT8GcCkIIIYQQQohL0KgghBBCCCGEuASNCkIIIYQQQohLMKeCEEIIIYQQ4hL0VBBCCCGEEEJcgkYFIYQQQgghxCVoVBBCCCGEEEJcgkaFG1m5cqWqbFqoUCFVwXXOnDkOHwNlQ8aNGydlypSRqKgoVXX1rbfecudlEkII8QDsEwghwUS4ty8gkEhKSpIqVarI008/LZ07d3bqGP3795eFCxcqw6JSpUpy8eJF9SKEEOJfsE8ghAQTVH/S68GGhMjs2bOlU6dOxnXJycnyxhtvyI8//iiXL1+WihUryrvvvitNmzZV2/fs2SOVK1eWnTt3StmyZfW6NEIIIR6GfQIhJNBh+JMH6du3r6xdu1ZmzJgh27dvl0ceeUTatGkjBw4cUNvnzZsnsbGx8vvvv0vJkiWlRIkS0rNnT3oqCCEkAGGfQAgJJGhUeIijR4/KlClTZObMmdKoUSMpVaqUDBo0SBo2bKjWg4MHD8qRI0fUPtOmTZOpU6fK5s2b5eGHH/bUZRJCCPEA7BMIIYEGcyo8xI4dOyQlJUUlYJuCkKi8efOqv1NTU9UyDAptv2+++UZq1Kgh+/btY0gUIYQECOwTCCGBBo0KD3H9+nUJCwtTngf8b0q2bNnU/wULFpTw8HAzw6N8+fLGWS3mWRBCSGDAPoEQEmjQqPAQ1apVU56Ks2fPqvAnazRo0EDu3r0riYmJKjwK7N+/X/1fvHhxT10qIYQQnWGfQAgJNKj+5OaZp4SEBGOH8eGHH0qzZs0kT548UqxYMenWrZusXr1aPvjgA7X93LlzsmTJEqX41K5dOxX+VKtWLeW5+Pjjj9Vynz59JEeOHEpmlhBCiP/APoEQEkzQqHAjy5cvV0aEJd27d1dJ13fu3JE333xT5UycOHFCoqOjpW7dujJq1ChVkwKcPHlS+vXrp4yIrFmzStu2bZURAsOEEEKI/8A+gRASTNCoIIQQQgghhLgEJWUJIYQQQgghLkGjghBCCCGEEOISVH9yA0ioRi5E9uzZJSQkxB2HJIQQXTEYDHLt2jUpVKiQhIZyfsldsD8ghARrf0Cjwg3AoChatKg7DkUIIR7l2LFjUqRIET51N8H+gBASrP0BjQo3AA+F9mFA/pUQQnydq1evqskQrf0i7oH9ASEkWPsDGhVuQAt5gkFBo4IQ4k8wZFOf58n+gBASbP0BA2kJIYQQQgghLkGjghBCCCGEEOISNCoIIYQQQgghLkGjghBCCCGEEOISNCoIIYQQQgghLkGjghBCCCGEEOISlJQlhAQMKakG2XDoopy9dkvyZ88ktUvmkbBQVrknhBB/hG26f0GjghASECzYeUpGzdstp67cMq4rmDOTjGgfL20qFvTqtRFCCHEMtun+B8OfCCEB0fn0/n6LmUEBTl+5pdZjOyGEEP+Abbp/4ldGxcqVK6V9+/ZSqFAhVfVvzpw56e7/1FNPqf0sXxUqVDDuM3LkyDTby5Ur54G7IYS4yz0OD4XByjZtHbZjP0IIIb4N23T/xa+MiqSkJKlSpYpMmDDBrv0/+eQTOXXqlPF17NgxyZMnjzzyyCNm+8HIMN1v1apVOt0BIcTdIIfC0kNhCkwJbMd+hBBCfBu26f6LX+VUtG3bVr3sJWfOnOqlAc/GpUuXpEePHmb7hYeHS0xMjFuvlRDiGZCU7c79CCGEeA+26f6LX3kqXOWbb76Rli1bSvHixc3WHzhwQIVUxcbGyuOPPy5Hjx5N9zjJycly9epVsxchxDtA5cmd+xFCCPEebNP9l6AxKk6ePCl//vmn9OzZ02x9nTp1ZOrUqbJgwQKZOHGiHDp0SBo1aiTXrl2zeayxY8cavSB4FS1a1AN3QIjn41rXJl6Q37adUP/7ak4CZGOh8mRLOBbrsR37kcDB0Ry75cuXW82xO336tNl+CK8tUaKEZMqUSfUPGzZs0PlOCCGmsE33X4LGqPj2228lV65c0qlTJ7P1CKdCjkXlypWldevWMn/+fLl8+bL8/PPPNo81ZMgQuXLlivGFXA1CAk15o+G7S6XrV+uk/4xt6n8s+6KKEupQQDYWWBoW2jK2s15FYOFojp3Gvn37zHLo8ufPb9z2008/yYABA2TEiBGyZcsWdXz0C2fPntXhDggh1mCb7r8EhVFhMBhk8uTJ8sQTT0hkZGS6+8LwKFOmjCQkJNjcJyoqSnLkyGH2IiRQ8EcpP9ShmNitusTkNA9xwjLWs05F4IEJoTfffFMefPBBh94HIwI5dNorNPS/bvDDDz+UXr16qby7+Ph4mTRpkmTJkkX1H4QQz8E23T/xq0RtZ1mxYoUyEp555pkM971+/bokJiYqA4SQYCMjKT/M/GN7q/gYn5v5RyeE62JFbZIeVatWVXlxFStWVJLiDRo0UOtv374tmzdvVp5oDRgcyMNbu3atzePhWHhpMMeOEPfANt3/8CujAgN+Uw8C8h+2bdumZGKLFSumOoMTJ07ItGnT0iRoIzYWnYglgwYNUnG5SN5G3gXc3mFhYdK1a1eP3BMh/irlV69UXvE1YOj44nUR71OwYEHleahZs6YyAr7++mtp2rSprF+/XqpXry7nz5+XlJQUKVCggNn7sLx37950c+xGjRrlgTsgJPhgm+5f+JVRsWnTJmnWrJlxGbGvoHv37irZGvGxlspNyHn49ddfVc0Kaxw/flwZEBcuXJB8+fJJw4YNZd26depvQoINSvmRQKVs2bLqpVG/fn3llf7oo4/ku+++c/q4mMzS+iLNU0HxDkJIMOJXRgVmlZAfYQsYFpZAnenGjRs23zNjxgy3XR8h/g6l/EgwUbt2bWOx0+joaOWlPnPmjNk+WE6vjhFy7PAihJBgJygStQkh9kEpPxJMIHwWYVEAIh41atSQJUuWGLenpqaq5Xr16nnxKgkhxD/wK08FIcQzUn5QeUIatqlfkPKsxJ9z7D7++GMpWbKkVKhQQW7duqVyKpYuXSoLFy40HgNhTAinRd4FvBh4D6RroQZFCCEkfWhUEEKsSvlB5ck0aRvyrDA4KM9K/DHHDupOAwcOVIYGZGJRm2jx4sVmx3j00Ufl3LlzMnz4cFUUD0pRKIxqmbxNCCEkLSGG9JIUiF0gMQ+5G0gKZ80KEkjyspRnDVzYbvG5EkKIO/sDeioIIVahlB8hhBBC7IWJ2oQQQgghhBCXoFFBCCGEEEIIcQkaFYQQQgghhBCXoFFBCCGEEEIIcQkaFYQQQgghhBCXoFFBCCGEEEIIcQlKyhJCHIY1LAghhBBiCo0KQohDLNh5Kk217YKstk0IIYQENQx/IoQ4ZFD0/n6LmUEBTl+5pdZjOyGEEEKCDxoVhBC7Q57goTBY2aatw3bsRwghhJDggkYFIcQuNhy6mMZDYQpMCWzHfoQQQggJLmhUEELs4uy1W27djxBCCCGBA40KQohd5M+eya37EUIIISRwoPoTIcQuapfMo1SekJRtLWsiRERicmZS+3kTyt0SQgghnodGBSHELsJCQ2RE+3il8gQDwtSwwDLAduznLSh3SwghhHgHhj8RQuymTcWCMrFbdeWRMAXLWI/t3oJyt4QQQoj3oKeCEOIQMBxaxccolSckZSOHAiFP3vRQZCR3iyvDdly3N6+TEEIICVR0NSp2794t48ePl7Vr18rp06fVupiYGKlXr5707dtX4uPj9Tw9IUQnMDCvVyqvX8rd+tJ1E0IIIYGCbkbFn3/+KZ06dZLq1atLx44dpUCBAmr9mTNnZNGiRWr9b7/9Jq1bt9brEgghQQLlbgkhhJAANSoGDx4sr732mowePTrNtpEjR6rXK6+8QqOCEOIylLslhBBCAjRRe//+/fL444/b3N61a1c5cOCAXqcnhASh3K2tbAmsL+gDcreEEEJIoKKbUVGiRAn5448/bG7HtuLFizt0zJUrV0r79u2lUKFCEhISInPmzEl3/+XLl6v9LF9afofGhAkT1PVmypRJ6tSpIxs2bHDougghviF3CywNCz3lbpEgvjbxgvy27YT6H8uEEEJIMKJb+BPCnh577DE1sG/ZsqVZTsWSJUtkwYIFMn36dIeOmZSUJFWqVJGnn35aOnfubPf79u3bJzly5DAu58+f3/j3Tz/9JAMGDJBJkyYpg+Ljjz9WIVl4j+l+hBD/kLuFypNp0jbkbmFQuFvuljUxCCGEkP8IMRgMuk2trVmzRj799FOr6k/9+/dX/zsLPA6zZ89WyeC2gEHTrFkzuXTpkuTKlcvqPjAkatWqpVSqQGpqqhQtWlT69eun8kLs4erVq5IzZ065cuWKmfFCCAnMitpaTQzLxlM7i7drdgRDuwXP9fvvvy+bN2+WU6dOZdgfzJo1SyZOnCjbtm2T5ORkqVChgsrtMxULwfKoUaPM3le2bFnZu3dv0DxXQkjwcdVN7ZaukrL169dXL3tYvXq11KxZU6Kiotx+HVWrVlWdSMWKFVWn0aBBA7X+9u3bqkMaMmSIcd/Q0FDlWYEhZAscCy/TD4MQEhxyt6yJ4Rs46rmGEdKqVSt5++231STTlClTVDjt+vXrpVq1asb9YGwsXrzYuBweznJOhBBiDz7TWrZt21bNIMXGxrrtmAULFlRhTTBWYAR8/fXX0rRpU9WJQNL2/PnzkpKSYgzN0sByejNTY8eOTTObRQgJDlgTw3f6DLzsBaGtpsC4gKz5vHnzzIwKGBHwqJPg8j4SQgLIqNAjCgtua7w04DVJTEyUjz76SL777junjwvPBvIwTD0VCJkihAQ+rIkRGCDU9dq1a5Inj7kiGFQJIQYC4Q6E6GISqVixYjaPQ8+1vjB3iRD/QTf1J1+ldu3akpCQoP6Ojo6WsLAwlTxuCpbTm6lCiBZizkxfhJDggDUxAoNx48bJ9evX5X//+59Zjt3UqVOVkAjyLw4dOiSNGjVSxoctYHQgFll7cYLJ/blLpsIL4PSVW2o9thNCfIegMyoQYoWwKBAZGSk1atRQalSms1dYdiWJnBASuLAmhv8D5UGEsP78889mKn8Ip3rkkUekcuXKKoF7/vz5cvnyZbVfep5rJDdqr2PHjnnoLgKbjHKXALZTxpkQ38Fnwp/sAbNKmpcBYBYJRgLc13BPo3E/ceKETJs2zRhDW7JkSZV4d+vWLZVTsXTpUlm4cKHxGAhj6t69u8q7gBcD70ECYI8ePbxyj4QQ/6iJgZlSRHUbPFQTg7iHGTNmSM+ePWXmzJlKlCM9kNBdpkwZs37HmudaD4GRYIe5S4T4Hz5jVEAiNiM2bdqkJGI1tLwGGAVwWUNW8OjRo8btUHcaOHCgMjSyZMmiZp+g6mF6jEcffVTOnTsnw4cPV7K3UIqC69syeZsQQrxVE4O4hx9//FGpRcGwaNeunV0TWcjDe+KJJ/gReBjmLhHif/hVojaUm9LbD4aFKa+++qp6ZUTfvn3VixBC7AWGQ6v4GKrS+InnGiFPmID65JNPVO6EVjspc+bMKhcCDBo0SMnMFi9eXE6ePCkjRoxQeXddu3b10l0GL8xdIsT/8BmjIr1EOEIICcaaGMR9nusvv/xS7t69K3369FEvDW1/cPz4cWVAXLhwQfLlyycNGzaUdevWqb+Jd3KXkJRtbSox5F/PIPYjhARBRW2NX375RSW6oYFHSJIpW7ZsEX+HFVQJIf4G2y0+V39RfxIbuUv+ULmekGDqD3RXf/r0009V0jNyFLZu3aqSofPmzSsHDx50qHARIYQQQoIvdwkeCVOwTIOCkCAMf/r888+V2xkuZbiYkeOAqtlIjL548aLepyeEEEKIn8LcJUL8B92NCoQ8oZK1lhCn5U5ATaNu3boyfvx4vS+BEEIIIX4Kc5cI8Q90D39CZWrNIwFFDiS9aUodHkjnIIQQ4gUgxdq8eXM+e0IICRJ0NyrQqcydO1f9jdyKl19+WVq1aqXqQzz44IN6n54QQoiXJF9XrFjBZ08IIUGC7uFPyKdITU1Vf0PGD0naa9askQ4dOshzzz2n9+kJIYToJMKRHqgRQQghJHjQXVIWORVFixZNUzEbpz127JgKifJ3KM1ICAm2dis0NFQKFiwokZGRVrdDPhwF5lJSUiSYYH9ACAnWdkt3T0XJkiVVEaL8+fObrUeeBbYFW4dDCCGBAKpOv/vuu/K///3P6nZUt65Ro4bHr4sQQkiA5lTAI2HppdDibTNlMteeJoQQ4h/AYNi8ebPN7Wj3KcZBCCHBg26eigEDBhg7lmHDhkmWLFmM2+CdWL9+vVStWlWv0xNCCNGR0aNHy40bN2xuj4+PVyp/hBDHSUk1yIZDF+XstVuSP3smqV0yj5LWJSQojQpUzwaYqdqxY4dZ3C3+rlKligwaNEiv0xNCCNERGA3pERERoUKkNFavXi01a9aUqKgofi6EpMOCnadk1LzdcurKLeO6gjkzyYj28aoYICFBZ1QsW7bMKCP7ySefuJT4QQghxL9p27atyrOIjY319qUQ4tMGRe/vt4ilgs7pK7fU+ondqtOwIMGbUzFlyhRlUCQkJMhff/0lN2/eVOsZa0sIIcED23xCMg55gofCmiSntg7bsR8hQWlUQOWpRYsWUqZMGbn//vuVEhR45plnZODAgXqfnhBCCCHE50EOhWnIkyUwJbAd+xESlEbFSy+9pGJrUa/CNFkbFbUXLFig9+kJIYQQQnweJGW7cz9CPI3udSoWLlyowp6KFClitr506dJy5MgRvU9PCCGEEOLzQOXJnfsREnCeiqSkJDMPhWlYFFVACCEkOLBWr4gQ8h+QjYXKk61fCtZjO/YjJCiNikaNGsm0adPMOpbU1FR57733pFmzZnqfnhBCiA/ARG1C0gd1KCAbCywNC20Z21mvggRt+BOMByRqb9q0SW7fvi2vvvqq7Nq1S3kqoFtOCCEk8Ll27Zq3L4EQnwd1KCAba1mnIoZ1KogfoLtRUbFiRdm/f7+MHz9esmfPLtevX5fOnTtLnz59pGBBFnEhhBB/55dffpGff/5ZCXJg8siULVu2eO26iO/ACtGOGRat4mNYUZv4HbobFSBnzpzyxhtveOJUhBBCPMinn36q2vennnpKfvvtN1XwNDExUTZu3KgmjwhhhWjHQYhTvVJ5+eUhfoVHjIpLly7JN998I3v27FHL8fHxquPJk4fJRoQQ4s98/vnn8uWXX0rXrl1l6tSpKsQVVbOHDx+uwlxJcMMK0YQED7onaq9cuVJKlCihZrNgXOCFv0uWLKm2EUII8V8Q8lS/fn31d+bMmY25E0888YT8+OOPXr464k1YIZqQ4EJ3owLubxS6O3TokMyaNUu9Dh48KF26dKFrnBBC/JyYmBijR6JYsWKybt069TfafCo+BTesEE2If3DrTop/GBUJCQkycOBACQsLM67D3wMGDFDbHAGejfbt20uhQoWUNO2cOXPS3R8GTKtWrSRfvnySI0cOqVevnirEZ8rIkSPVsUxf5cqVc/AuCSEkOGnevLnMnTtX/Y2w1pdfflm1u5hMevDBB3U7r6P9AVi+fLlUr15d1UiKi4tT4VqWTJgwQXnXM2XKJHXq1JENGzbodAeBDytEE+LbJCXflS9XJkrrj1b6h1GBBlzLpTAF66pUqeJwIT28B42+vZ0OOrf58+fL5s2bVV0MdEJbt241269ChQpy6tQp42vVqlUOXRchhAQryKfQhDjgmZ48ebKUL19eRo8eLRMnTtTtvI72B/CctGvXTvUD27Ztk5deekl69uxpNtH0008/qQmvESNGKNUqHL9169Zy9uxZ3e4jkGGFaEJ8kys378hnSw5Ig3eXytvz98qFJHPVPmcJMejgn96+fbuZ8YDEvX79+kndunXVOrjH0RG88847ajbLGTAzNXv2bOnUqZND74MBgXMiiVDzVGCGC52Ms1y9elUpXF25ckV5RAghxNdxV7uFnIqiRYumqZiNruXYsWMqJEpv7OkPXnvtNfnjjz9k586dxnUIw718+bIsWLBALcMzUatWLSWBDlCoFfeG/mvw4MF2XQv7A/OciobvLpXTV26JtYFGyL/1F1a91pwF3QjxABeuJ8vk1Ydk2pojci35rlpXMjqrdK+ZX3o0q+Byf6CL+lPVqlVVI29qr8CwsOSxxx5z2qhwBnQQSCK0VJ06cOCAcqHD3Y0QqbFjx6bbESYnJ6uXaSdCCCHBCEQ34OHNnz+/2XrkWWBbSop7YnVdZe3atdKyZUuzdfBCwGMBUF8DHu0hQ4YYt4eGhqr34L22YH+QcYXo3t9vUQaEqWHBCtGEeI6zV2/JlysPyg/rj8rNf/MnyhbILn2ax0m7SgUl6fo16eGG8+hiVMDN7IuMGzdOFd/73//+Z1yHmSnE1ZYtW1Z1jKNGjZJGjRqp2SwU67MGjA7sRwghwQ4mjyy9FABtLSZqfIXTp09LgQIFzNZhGZNCN2/eVMqEMICs7bN3716bx2V/kD6sEE2I9zh+6YZ8seKg/LTpmNy+m6rWVS6SU/o2i5OW5QtIaGjattvnjIrixYur/9FAo7PBbA86HngKTBO2Pcn06dOVIYDiTKYzam3btjX+XblyZWVk4PpRHfaZZ56xeizMZCHuVgOdElzkhBASLGhtINr4YcOGSZYsWYzb0PavX79eea0DHfYHGcMK0YR4lkPnk+TzZQkye+sJuZt6z0dYs3hu6deitDQuHW11Isjni9998skn6sKhBoIY1Tt37pgNxj3FjBkzVELezJkz07i/LcmVK5eUKVMmXWUqKIfgRYg/xzpD7hHqLEimrF0yD2OaiUNogheYMNqxY4dERkYat+FvJDkPGjTIp6Rvz5w5Y7YOy4gfRn0NTHjhZW0fvNcW7A/sgxWiCdGffaevyYRlCfL79pPyry0hDeOipW/zOKlTMo9uxoRHjAokt7Vo0UJJDv7yyy+yZMkS8TQovvT0008rwwLKHxkBl31iYqIq3ERIoFa4HTVvt5y6csu4rmDOTCr2GTOKgEZHYHP0wg0ZM8t5cQqwbNkyo4wsJpB8XaQC+XJQAjRl0aJFar1mCNWoUUP1U1rCN7zrWO7bt69XrpkQQuxhx/ErMn7ZAflr13+TIi3K5Vc5E9WL5RZPoZtRgVAjWESY4WnYsKHcf//98vbbb6ttmvKSo2DAb+pBQO4GVJuQeI3EarihT5w4IdOmTTOGPHXv3l11eAhrQkwtwKwUVE8AZtIgM4uQp5MnTyopQcxWde3a1Q1PgRDfMyiQNGmpxAJ1Fqyf2K26Ws7I6CD+yfXkuzJ+aYJMXnVIbt247pZjTpkyRf2PthkTMo0bN1ZtrK1cC3fhaH/w/PPPK485REMw0bR06VIV5gpFKA140tFn1KxZU2rXri0ff/yxkq6F4UQIIb7GpsMX5bOlCbJi/zm1jCb3/ooF5YVmpaRCoXvjXE+im1HRtGlTowII8g2grtSkSROXjrlp0yalMa6hhVKhE0CyNRKtIW9oqp9+9+5dpZ2Ol4a2Pzh+/LgyIC5cuKCK5MEAguQt/iYkkID3AcaCNWlHrMPwb/CsHXLlxp10jQ4aFv5HaqpBftl8XN77a5+cv35Pua5ebF455oZjo41/5JFHlOcCRgTU9GJjY1VOWu7cueWDDz4QPXC0P4ASFQwIhONioqlIkSLy9ddfKwUoDagRnjt3Tk18YRIKOSGQm7VM3iaEEG9hMBhkTeIF+WzpAVl38KIxvLBjlULKmIjLb11kyBPoUqdCA41zx44dVaPcpk0bVXU1OjpaAg3qkhN/YG3iBen61Tqn309Nef8EuTOjf98lO0/ck74ukTeLDG0XL7UKZ1I5ZK7qkj/55JOqOBwG6Ch6988//yijAkXlMNDftWuXBBPsDwgheoDh+tK9Z2X8sgTZevSyWhcRFiIP1ygqvZuUkmJ5/xPL8Fa7pWtOxaxZs2To0KHqAhFW9Ouvv8pzzz2n5ykJITZAUrYrYPYBIVEYpNYrlZfP2Q+kBMf+uVf+2H5KLWePCpcXW5SW7vVLSGR4qNvq6yxcuFAZEJj5N6V06dJy5MgRt5yDEEKC2dO8YNdpFbq6+9S9djsqPFS61i4mzzaOlUK5MouvoKtRYWpAmLqYCSGeBypPvmCcEPdhLaH+1p0UmbQiURU6Sr6bqmJsu9QqJgPvKyPR2dyvWoecA1M5WdOwKKrkEUKIc9xNSZV520/KhGWJknD2Xg5c1sgw6VavuPRsGCv5svueCqmuRgVAyJM1EHuLwkhxcXEq1pUQoi8YcCLhGvkRBh8wToj7VbxyZo5Q/1+5eUf9Xzc2jwx/oILEF9JPmQnFQpEMPWbMGGPbDtWk9957zyzngRBCSMagSN2sLcfl8+WJcvTiDbUuR6ZweapBSelRv4TkzvqffHfQGRWQ5kMnY5m6oa3D/0iOnjNnjkrqI4ToAxK5oOCEhGvkR5j+IrXlXFkirCZqa/vE5Lw3G+4MlKnVX8VLMyais0XKm50qSusKMbrrksN4gHQ4Eqdv376t1JWQRwFPxerVq3U9NyGEBAq37qTITxuPKU+zNlmUJ2uk9GxUUp6oW1yyZ7o3aeTLhOp9AuiA16pVS/2PBBC88DckXn///XdZuXKlUl7ypSJJhAQqUG6CghOMA1OwPKlbdXmncyW1bDkM1ZZhlMA4cWYQ3PDdpSpRvP+Mbep/LGM9cZ+Kl0Z4aIi0itffoAAVK1aU/fv3q8khCHMgHKpz586qOF6pUqV0Pz8hhPi71PcXKxKl4bvLZMTcXcqgKJAjSoY9EC+rXmsmLzSN8wuDQnf1J63DgbRr/fr1zdZjBuvZZ59VM1qLFy9WuuGm8n/+BNU+iL+RntfAnuJ47phV14a7lKnVR8Xrx151002oZ7ulD3yuhBB7gGf52zWHZfLqQ3L5xj0vc5HcmeX5JqXk4RpFJFNEmHgKv1B/AiiGZO0Cse7gwYNGlZDz58/rfSmEkH+BAWFrwAnDAbPctowOd9fGwHacz5njBxuYA7LXu+PJhPpLly7JN998I3v27FHL8fHxqmAcCtERQgj5jwvXk+WbVYdk2tojyksBYqOzygvN4qRj1UISEaZ7EJFu6G5U1KhRQ1555RWVyKcVlEP9CsTdIiwKoFgSCuQRQnzf6HAEGCamHg9LKFNrP9uPX5bR83bLpiOXfCqhHiGs7du3V7NcqEQNPv30Uxk9erTMmzdPVdgmhJBg58zVW0qVb/r6o3LzTopaV7ZAdunbPE7ur1QwICbWdDcqMHuFOFtomGuGw7Fjx1RxpN9++00tX79+XdWzIIQEFvbOllOmNp1nc/WWqoSNitggc0SY6ny0GS53J9Q7Sp8+fVQl6okTJ0pY2D13fUpKirzwwgtq244dOzxyHYQQ4oscu3hDvliZKD9vPC63U1LVuspFckrfZnHSsnwBCQ0AY8JjRkXZsmVl9+7dqkASkvm0da1atZLQ0FCjQhQhJPCwd7acMrXWlUDgIp+wLEFu3L43q9W5WmF5tU052XbskspTESsqXq4k1DtDQkKC/PLLL0aDAuBvVNOGh5oQQoKRg+euK1nYOVtPyN3Uey11rRK5pV/z0tKodLRHhDQCzqgAMB7atGmjXoSQ4CGj2hienlX3l7yJP3eelrfn75Hjl26qdVWL5lKGQrVi92S32+S8p+JlmVAf40JCvbNUr15d5VJgssgUrKtSpYrHroMQT0F5bJIee09fVQXr/th+Uv61JZQRAc9EnVjXw4ol2I2KJUuWqNfZs2dVUSRTJk+e7IlLIIT4YG0MT8+q+zq7Tl5ReRPrD11UyzE5MslrbctKxyqF07jI3ZlQ7yjbt283/v3iiy9K//79lceibt26at26detkwoQJ8s477+h+LYR4Ener45HAynsbvzRBFu4+Y1zXsnx+6dMszjghFOjoLik7atQolbCHBL6CBQumcffMnj1b/B1KCBKSPuyI0+fctWT5YOE++WnTMUGLHBUeKs81jpXnm5aSLJHhPtduwftsraipJdgH+RXBBPuDwIXy2MQaGw9fVMbEiv3n1DKGuUi87tM0TuILOS/P6kn8RlJ20qRJMnXqVHniiSf0PhUhxEcxnVU/ffWWXLyerCqF5swcqUIJgtVTcftuqkxdc0g+XZJgTLx+oHJBGdy2nBTJnUV8lUOHDnn7EgjxKJTHJqZgQmV1wgX5bOkBo2c5LDREScKiWF1c/mxB+cB0Nypu376dpvAdIST4QIN75eZteW/B3qAPHUCHtHjPWXnrj91y+MIN9XwqFc4pw9vHS60Svp9fUrx4cfU/vBDwRsBzgXtCeKtpwjYhgQLlsQlAO7dkz1kZvyxBth27rNZFhIXIIzWLyvONS0mxvL47GRQQRkXPnj1l+vTpMmzYML1PRQjxw9ABJHFjfbBU1t53+pqM+X23rEq4V/AzX/YoebV1WXmoehG/kxb85JNPlFHx8ssvy/jx4+XOnTtK9YmQQIPy2MENPFULdp5WxsSeU1fVOoSpPlanmDzbOFYK5szs7UsMDqPi1q1b8uWXX8rixYulcuXKEhERYbb9ww8/1PsSCCFeJhhDBywVYuAO/2TJflX4CIogkeGh0rNhSVVFNVuURzQz3E6/fv2kRYsW0rx5cyUrC0EOQgIRymMHJ3dTUmXuPyeVtHfiuSS1LmtkmDxRr4Q807CkmhQi/xHuCZWQqlWrqr937txpti0QNXoJIWkJttABa4nppupXbSvGyOv3l5eiefzXVQ4RDrThMTEx0rBhQ7n//vvl7bffVtuGDx/u7csjxK1QHju4SL6bIrO2nJCJyxPl6MV7Iao5MoVLjwYlpUeDEpIrS6S3LzE4jYply5bpfQpCiI8TTKEDtsK8tOWXW5aW/i3LiL/TtGlT9f/FixelaNGiUqhQIWnSpIm3L4sQXaA8dvAUHZ2x4ah8sfKgcVIob9ZI6dkoVrrVLSbZM5lH2xBz7pW0JoQQGyE8axMvyG/bTqj/sewMwRI6kF6Yl8aMjcecfo6+BAyI+Ph42bBhg6pLsX79eqlQoQINCxKwIOcLuV8oMmkKloMlJyxQgfrepBWJ0vDdpTLyXy9zgRxRMvyBeFn1WnPp3bQUDQpveSo6d+6sZGShdYu/02PWrFl6XAIhxIdqSwRL6MDSPWfTDfOSAAvzQvs9dOhQ1daPGDFCfv31V3nuuee8fVmE6IY3i04S93Plxh2ZuuawTF59SK7cvKPWFcmdWRkRD9coIlHhVLPzulGBAhpavgT+JoQEt1JToIcOIJlv+oaj8s6fe4MmzAvAgFi5cqXcvXtXWrdubbYN69asWSONGzf22vURogdopwJhUiCYOX89Wb5ZdUi+W3vEWCMoNl9WVbCuQ9VCEhHGQB6frKgdDLCCKgkkEJoDF3B6M+4xOaJk9eAWDhsBgVhZ++8D55RE7P4z1+1+z4+96np9UOKudgt1KU6dOiX58+c3W3/hwgW1jhW1CSG+AibGvlx5UKZvOCK37qSqdeViskvf5nHStmJBv53YCpqK2m+++aY8/vjjUrJkSb1PRQjxgFITOH01WcYvTZD+LUsHbejAofNJqngditiB3Fki5KWWZWTi8gQ5czU5oMO8TMG8lDUlPxgVWbNm9co1EUKIKccu3lA5EzM3HZfbKfeMiSpFckrf5qWlRbn8flcjyFfR3aiYOXOmirWtU6eOdOvWTf73v/9JdHS03qclhDhYR0Eb3NsbmvPR4v1SNiabwx4Gfw8duHrrjny25ICKw72TYpDw0BB5ol5xealFGcmZJUIl9wVqmJcpWr4cDIqnnnpKoqL+02uHdwJy4vXr19f9OiZMmCDvv/++nD59WqpUqSKfffaZ1K5d26Zi1YoVK9KshxzuH3/8of7GvXz77bdm2xHatWDBAp3ugBCiF4nnrsvnyxJlzrYTRoEM9HX9msdJw7holjbwN6Pin3/+kV27dskPP/wg48aNk5deeklatWqlvBedOnWSLFn8V6edEH8lvTAkRxSYAq1gXXqgQ/pp4zH5YOE+uZB0W61rWjafDG0XrwrbWSrEWD7fGD8P87JEy5eDpyJ79uySOfN/FWUjIyOlbt260qtXL12v4aefflIVvCdNmqQmrj7++GNlAOzbty9NOJaWWH779r3PTvOmwBB55JFHzPZr06aNTJkyxbhsajARQnwfVL1Gwbo/dpwSLci/Uelo6dssTurE+u+klq/j8ZyK1atXy/Tp05UHA9W2EcdlL0gIxIzU5s2bVQzv7NmzlWGSHsuXL1edDgwbaKlDqQQzUc7OdFmDORUkEJKwNbNgwmPVZMwfezIMgcooP8CWJ8QfgZzu6N93q44KlMqXVYY+EC/NyqYduPrL/bur3UIRvEGDBnkl1AmGRK1atWT8+PFqOTU1VbXzqPQ9ePDgDN8PIwSF+tCfaNeP/uHy5csyZ84cp66J/QEh3uOfY5dl/LIEWbT7jHFdy/IFVM5E1aK5+NH4e06FJWi4MaOFmaxr16459N6kpCQ16H/66aczlKoFhw4dknbt2snzzz+vPCVLliyRnj17SsGCBY1KJY7OdBESqHUUsA5DXhgUw9rFywvTt9h1TGvhUoGSkH30wg15e/4eWbDrtLGiKvImEO6UkTqIv4d52QvCW8G5c+dUuwnKli0r+fLl0/W88DhggmnIkCHGdaGhodKyZUtZu3atXcf45ptvpEuXLmkMIkxGof3PnTu3NG/eXOUG5s0b+J8lIf4KJnBgTKzcf04tI82rXaWC0qdZnJQv6PwgmfigUYHBPbwTeKHTQdEkzG49/PDDDh2nbdu26mUvMBSQIP7BBx+o5fLly8uqVavko48+MhoVH374oXLR9+jRw/gexNZOnjzZrpkuQnwBe2fFM0rChmGB7bmzRqrKzx8tPpDhuS3DpdwtR+sNIDEI1/k3fx9SSX14lI/XKS4vtyojebJGevvyfIobN25I3759Zdq0acpToClCPfnkk8rrq1eI6/nz51XuRoECBczWY3nv3oylfVG0b+fOncqwsAx9wqQV+o7ExER5/fXXVb8DQwX3ZUlycrJ6aTjifSeEOA8CbVYlnJfPliaovg2g3+tUtbCqM2EalkoCxKhAXO3GjRulcuXKauDetWtXKVy4sHgCdAKYtTIFxgTyOlyZ6WInQnwJR7wC9iZhYz+oYvy44Zicvmr9PdaUjOzxhPhyHkZqqkF+2XJc3v9rn5y7dm+giGS+YQ/ES9mY7N6+PJ/k5ZdfVsnP8+bNkwYNGqh1mLx58cUXZeDAgTJx4kTxRWBMVKpUKU2oKzwXGtiOvqtUqVLKe9GiRYs0xxk7dqyaJCOEeM6YWLLnrHy2LEGFO4HIsFB5uGYR6d2klBTNw1zdgDUq0Ahj1j8+Pl48DXIkrM1iYSbp5s2bcunSJadmutiJEF/BUa+AvUnY2A+D/pEd7hWsEzuVjOz1hPhiRemNhy/KqHm7ZOeJezPNJfJmkTfaxUvL8vmpEJIOqKL9yy+/KGUlUzUlhLlC7U8vowIqgvAcnDnzX+w0wHJMTEyGobQzZsyQ0aNHZ3ie2NhYda6EhASrRgUmpRBCq4H+BXkdhBD3gkmrP3eekgnLEo35bZkiQuWx2sXl2caxapKLBLhR8dZbb0mgwU6E+ALOeAXgVYAXA0aHPXUUHFUycsQT4iscv3RDxv65V/7YfkotZ48Kl34t4qR7/RISFZ423IWkDX+ynJgByEnANr1AXl6NGjVUrpwm2IHwKywjHCs9IBQCjzNkzjPi+PHjSiUKuXjWgDIU1aGcx9cFDYj3uZOSKnO3nZQJyxPk4LkktS5rZJg8Wb+EPNOwpERnozpbQBsVmLUZM2aMSn4zncGxBnIa9AKzVdZmsZDZjlk0zHI5M9PFToT4As54BdBZwxhwpI6CIwXrHPGEeJsbt+/KxOWJqrpq8t1UldjXpVZRGXhfWXZSDlCvXj2VrI2cikyZ7n2u8AQjJAjb9AT9S/fu3aVmzZoqjAlCG/BCaDlyyOtAuC28y5ahTzBELJOvr1+/rq77oYceUn0AcipeffVViYuLM+bhEfcRKIIORB+S76bIr5tPyMQVCXLs4k21LmfmCOnRoIQ8Vb+E5MrC/LagMCq2bt0qd+7cMf7tLdChzZ8/32zdokWLjB2dKzNdhHgbZ70Cmvdh5NxdqjK2Boq2jexQwWpnbq+SkaOeEG+AvAkUQnp3wV5V+RrUKZlHhrePlwqF7tVeIPbzySefqAF3kSJFlDqfVp8Iky8LFy7U9VE++uijSnUKsrAId61ataoqUqd5To4ePary5EyBWAhyPqxdGyaZULQPxe8gK1uoUCG577771CQZvRHuJRAEHYg+3LydIjM2HpUvVhw05vRFZ4uUno1ipVvd4pItyuPCpcROdPlkli1bZvVvV8EsEuJaTVWltm3bJnny5JFixYqpsKQTJ06oGTMAKVnol2OmCTK0S5culZ9//tlYOdWemS5CfBVnvQIIN9h3+rrcvHNPqec/XA85cMYT4km2HL0ko+ftlm3/JvcVyZ1Z3ri/vLSpGMO8CSepWLGiHDhwQMl2a7loEORAgVPTgnh6gQkgW5NASK62BHK3tsoz4Xr/+usvt18jMcffBR2Ifqp73609Il//fdBYYDQmRyZ5rkmsdKlVTDJHMhzV1/GauYfOp0OHDrJ//36737Np0yZp1qyZcVkLrYJRMHXqVFXACDNTGpAEhAEBdRLMpmEm7euvvzZzY2c000WIr8YOO+MVwOzg4Fk75PKNe55EU85cdc8MoS9WlMYzgmdi9tYTxnjcF5rFqXjcTBHsqFwFsrGW1bMPHjyoJnb09lYQ/8OfBR2I+7l847ZMXXNYpqw+LFdu3uubiubJLL2bxMlDNQozt82P8HhFbQ24x6tXr67Ul/wdVlAl3ood1kIIxIZXwNRAwL7P/7uvLTRDZNVrzV2eIfSFBEy40ZEzMWlFoty8k6LyJh6uXkReaV1W8ufwfl5HILdbgdTGOwL7g4z5bdsJ6T9jW4b7fdKlqnSs6hkJeuJ5zl9Plq//PiTfrzuivBQgNl9W6dssTjpUKSThGRQYJe7DbytqExJs6Bk7bK9XQAs3yAh3zhB6s6I05krmbT8l78zfIyf/fS41i+eWEe0rSKUizJsgxJuTBP4k6EDcD/q+L1Ymyo8bjsqtf8Nwy8Vkl37NS6tQVIa8+S80Kgjx89hhe9SZMgo38GXJV0fZfvyyypvYdOSSWi6cK7MMbltOHqhckHkThPiAp9UfBB2I+zl28YZMXJEov2w6LrdT7hkTVYrmkn7N4qQF6wEFBDQqCPHh2GF7Zwcz8go4aiT44wzh2au35L2/9smvW44LgjozR4RJ76alVFEk5k0Q4jueVl8XdPD1sE5/I/Hcdfl8WaJS3cPz0xT3+jaPk4Zx0ZzsCSB0Mypy586d7hfl7t178XOEBAK2OhpXisG5c3bQESOhoJ/NEN66kyLfrDokny9LkKTb9+L3H6xWWF5tU1YK5tRffShYqVatWrptvJ6F74j/e1p9UdAhI9Jrk+2t5RNMoOr1+GUJMn/HKTXRAxqXyadyJvypjyE+YFRAmpWQYCC9jsbZ2GF3zw5mFG6gEeLDM4TW8iYW7Dwtb/+5x1gYqWrRXKreRPViub19eQGPVtuHBC56qzQ5UljT26TXJkMAI1eWCDNVvWAu4gfJ7vFLE2Txnv8KC7eKL6CMCYQ7kcBFN6MCMq+EBDoZDf4nPFbN4dhhPWYH0ws30MidJULGdq7kF53grpNXVN7E+kMXjYX7kDfRsUphCfXBAUkggiraJLBxxdPqD4IO9pJRmwwsZboDvYifNe/8psMXlWfi7wPn1T5wZD5QuZD0aVZKysW4X2GOBGFORWxsrGzcuFHy5jVvNFCtFHKD0DInxB+xZ/A/5o89MqxdvPSZbn/ssF6zg7bCDXJljpAeDUpI3+alfXKG0FKC8IOF+2TGxmPKnR4VHirPNY6V55uWkiyRTBHzBs2bN5dZs2ZJrly50kgUwpuBoqPEP6FKk3NCF4FexM+adz4yLERup9zr4XCvCEFFTlupfNm8eKXE0+jeCx8+fNiqTnlycrIcP35c79MTohv2Dv5zZ410KHZYz9lBfwo3MOX23VSZuuaQfLYkQa79q2cONSd4J4rkzuLtywtqULX69u171W9NuXXrlvz9999euSbiHqjS5JonJhCL+NnyzmsGRePS0fLWg5WkaB62y8GIbkbF3LlzjX//9ddfqqiGBoyMJUuWqIrXhPgrjgz+UcDJ3sG83rOD/hBuYJo3sXjPWXnrj91y+MK9xN9KhXOqvIlaJZjo5022b99u/Hv37t1y+vRpszZ+wYIFUrgwC5f5M/6s0uROXFXD82eJbkvv/Mi5u9LNyztw9roUykWBjGAlXO8kPqiDWOZXRERESIkSJeSDDz7Q6/SE6I6jg397B/OemB30B1nEfaevyZjfd8uqhHvxufmyR6lK2KiIzbwJ71O1alXVvuOFEChLMmfOLJ999plXro24D39UaXI39gpdBJJEtyV3UlLlg4X75fTV5HT3CzTPDPERoyI19V5hE3gjkFMRHR2t16kI8Qp6Df71nh10dyErd3Mx6bZ8tGi//LD+iEDSPDIsVJ5pVFL6NIuTbFHMm/AVDh06pDxJyJvbsGGD5MuXz7gtMjJS8ufPL2FhYV69RuIe/DVs0l3YI3QhAVrEL/luivyy+bhMXJ4oxy/dU9kLFs8McZxwT3Q8hAQieg7+9Zod1KOQlTtnwr5be0Q+Xrxfrt66lzfRpkKMvH5/eSmWl/G5vkbx4sXNJpBIYONPYZN6YFPo4l8p2UALD7t5O0V+3HBUvliZKGf+9U7kyBwhV2+aq1wFqmeGOIdHpv1WrFgh48aNkz179qjl+Ph4eeWVV6RRo0aeOD0hfhka4O7ZQT0LWbnKsn1n5c3fd0viuSS1XL5gDhn+QHxQD2J8ncaNG6vcOU31CX+3atVKhT0REojYapMX7T4dMOFh127dke/WHZFv/j4kF5JuGz3ZUNl7uEZRafXRCl1Dc4n4dVhziAH+ax35/vvvpUePHtK5c2dp0KCBWrd69WqZPXu2TJ06VR577DHxdyCdiET0K1euSI4c1GIOxh+qL/yYM2Jt4gXp+tW6DPf7sVddjw3mE85elzf/2C3L951Ty3mzRsrA+8rKo7WK+tzzCzRcbbdCQ0NVcjbCnACOsW3bNhUOFcywPwhO/KEPSI/LN27LlNWHZcrqQ0ZPcdE8meWFpnHSuXphiQoPM/N2iw3PTKDW5fB1FrgY1uyudkt3T8Vbb70l7733nrz88svGdS+++KJ8+OGHMmbMmIAwKkjgYu8P1R9CAzxRyMperty4Ix8v2a/Cne6mGiQiLESeql9C+rUoLTkyReh+fuJ+dJ6fIsSn8Yc+wBrnriXL16sOyvdrj0jS7Xvy/6XyZZW+zeOkfeVCEh4WarY/E/d9jwU+FNasu1GB4nbt27dPs75Dhw7y+uuv6316QgLihxoohazupqTK9A1H5cNF+40VaFuWzy9vtIuXktFZdTsvIYSQ/zh15aZ8seKgyptIvptqDDvt1zxOWldIPwQ22BP3fYkUHwtr1t2oKFq0qKpJERcXZ7Z+8eLFahshvoiv/VADoZDV3wfOKYnY/Weuq+UyBbLJsAfipVHp/1SDiH9hWoMICdto63fu3JlmAokELv4e9hNsHL1wQyauSJRfNh+TO/8WrKtaNJcyJpqXy68kogPZMxOsRXg3eEjmVzej4umnn5ZPPvlEBg4cqMKdEGtbv359Y04F8imwnRBfxNd+qP5cyOrQ+SR56489snjPGaNayoBWZeSx2sXSuNaJf2FZg+i5554zW8YABYXwSGAyf/tJGfrbTrmYdMcn5amJef7a58sT5LdtJ5UhCOrG5pG+zUpLg7i8dhsTxLc460NhzboaFd9++62888470rt3b4mJiVGF7n7++We1rXz58vLTTz9Jx44d9To9IX79Q9Vr9s+T8bBXb92R8UsTVOIfZsRw/U/ULS4vtSwtubJEuu08xDtQSja4GTt/t3yxMq1k/Ck/DQ8NVHafvCoTliXI/J2nREt7alImn8qZqFWCKk3+Tn4fCGv2iFFhmrT34IMPqhch/oI3f6h6F6fTOx4WBtHPm47JuL/2GSUJ0YkNe6C8xOXP7pZzEEK8x/ztp6waFBoGPwwPDTS2Hr2kjInFe84a190XX0AZE5WL3JOBJv5PbS+HNXs0p+LatWuSKVP6gy5KsBJfxFs/VE8lh+sVDwvZ2tG/75Y9p66q5dh8WVXeRLOy92RHSeCB+hT2wvwK/weTBgh5ygh/Cw8NFNYfvCDjlyXI3wfOq2XYdO0qF5I+zUpJuRhK3gcaYV4Ka/aKUVGmTJl0PRmMtyW+ijd+qHolh3sikRLJf2/N3y1/7bqXN5E1MkxeblVGutcvIRHMmwhoOnXqpNpyS0lZy3Vs7wMDtCUX//VA+kocd7AnkeN3tvLAeRm/9IBsPHxJrQsPDZEHqxWW3k1LSWy+bN6+RKIjviTzq6tR8csvv0iePIzZI/6Jp3+oeiSH6x1KdT35rnKxf7XyoKo3oQG9829WHZIiuTMzrjrAWbhwobz22mvy9ttvS7169dS6tWvXytChQ9U6VNnWkwkTJsj777+vCvFVqVJFPvvsM6ldu7bVfSEQgmKspkRFRcmtW7fMBmgjRoyQr776Si5fvqyKtk6cOFFKly6t6334C44YCp6K4/ZG2+cLpKYalAAGPBPbj19R6yLDQuV/tYrIc41LSdE8Wbx9icRD+IrMr65GBRpjrdoqIf6IJ3+oriaHW87KXUq6LX2m6xNKhc7sly3H5f2/9qniSdbw13oexDFeeuklmTRpkjRs2NC4rnXr1pIlSxZ59tlnZc+ePbo9Ugh+DBgwQJ2/Tp068vHHH6tz79u3z2bfg5BbbNewVL1BsdZPP/1UiY2ULFlShg0bpo65e/fuDMN5gwF7DYU8WSNUO/HbthMeH+AEWo0ha239HztOyefLEmTv6WtqXeaIMHm8TjHp1ThWCuTg9zQYCfMBmV/d61QQ4u946ofqaHK4qRFx+HySKmJ0+up/A3z033rU2dh4+KKMnrdbdpy4NzOG92sShY6eJ1jCEwKZxMREyZUrbeIn6lccPnxY13N/+OGH0qtXL6P3AcbFH3/8IZMnT5bBgwdbfQ+MCCgSWgNeChgm8LJo6oTTpk2TAgUKyJw5c6RLly4S7Gj5Zul5VbXf9uPfrPe4lyAQawxp3ElJlTlbT8jE5Yly8HySWpctKly61y8uTzcoKXmzRXn7EkmQo5tRUbx4cQkLC9Pr8IQEdXK4Nde+JVbG+S6FUp24fFPGzt8jv28/pZazR4VLh6qF5If1R506TzCEJwQDtWrVUt6C7777Tg2+wZkzZ+SVV16xGYbkDm7fvi2bN2+WIUOGGNeFhoZKy5YtVfiVLa5fv676J0jiVq9eXYVoVahQQW07dOiQCqPCMUyNI3hBcMxgNCqsGf5avlk6TYxcuXnXK16CQKwxdOtOivyy+bgyJtAOa/V+YEh0r1dCcmaJ8PYlEqLQrfIUGue8efNK8+bNVVyqJVevXlXbnImfLVGihHJDo6HfsGGDzX2bNm2qZqUsX+3atTPu89RTT6XZ3qZNG4evixB3JYeDEBudYZdaReWvnadV55zRTKG7Qq5u3L4rHy7cJ83HLVcGBaJFutYuKksHNbVb/cryPFp4guU9aAMPbHfXgAiKVAjBwP/WPCrENeAVOHXqlBQrVkzi4uLUC3+fOHFCvvnmG90e7/nz51VhPc2Q0cAyDANrlC1bVl3vb7/9Jt9//70yLFCU9fjx42q79j5HjpmcnKz6M9NXoIDfYcN3l0rXr9ZJ/xnb1P9YBjAOMAlgSp6skZIrs/W5Su2Xh4kEPX+H3q4x5E7Q9iI3rcn7y2TonJ3KoIjOFilD2paTVa81lxdblKZBQXwK3cOfli9frmaULEFi3N9//61r/OysWbPMzn3hwgWVyPfII4+Y7QcjYsqUKWaJe4Q4g6vhPLaSwzU+WnxADeoNHgi5UvHQ/5yQd//cJ6ev3ruWOiXzyPD28VKhUM4M32/tPHg+6xIvyOBfd+genkBPiGeAEbF9+3ZZtGiR7N2711jgFLP9vlalF4nkWjI5gEGBa/3iiy9kzJgxTh1z7NixMmrUKAm0NmzR7tMyeXXa8DVTjwMGtqbtXapFyJM3vAS+VgzMGa7duiPT1h6RyasOGWv9wIB7vkkpebRWUckUwSgQEmRGBToZDSS4mc7yYHZpwYIFUrhwYV3jZy2Vp2bMmKGSBy2NChgRtmJsCfH0IFZLDkc16o8W70+z3UK50ykyqrOBwkm4l23H7nkZoeL0xv3lpU3FGLOBortDttw18Aj0RE1fA9+J++67T708RXR0tAqxRaiVKVi2tz2PiIiQatWqSUJCglrW3odjFCz43/cDy1WrVrV6DIRfYbJLA56KokWLij9iz2/U0vA3/Y3CI+htL4GvFQNzhMs3bitDburqQ3L11r3wsWJ5ssgLTUtJ5+pFJDJct+ASQtyCbt9QNMBorNHZIMwJy9qrRo0a8uabb8rw4cMdjp81jXW1J37WFLjiERObNWvWNN4UeDrgGu/du7fyaKRHILu7iXPoEc4zY6PtXAVXSK/OBq735Z+2yYOfr1EGRZbIMHmldVlZPKCJtK1UMM3Mc3ohW6bnwaynoyFbzg48MkrU9EQIRjCAdvf33383W4ekZigmoT2F8hPaSr2IjIxUfcmSJUuM6xDOhGVTb0R6YIJrx44dRgMC1w7DwvSYaN/Xr19v85iYlIKilOkrkNqw9Az/dQcv+JyXwN42yZeStKGgN/bPPdLgnaXy6ZIDyqCIy59NPnq0iiwd2ES61C5Gg4IEt6cCORVQ0oiNjVV5D/ny5TPrDNDpOJLInV78rOZyTw9cw86dO9PE+CL0qXPnzqozgYrJ66+/Lm3btlUdpq3rCzR3N/E9tZGMkg1dwVqdDSQCfrnyoEoEvHknRa17uEYRebV1WcmfgTxhRvU8cN+Iw3Z0CO/swCMQEzV9kdGjR6u8tQceeEAtY3D+zDPPqDw1hBShdkShQoVk5MiRul0DPATdu3eXmjVrqqRwhMQmJSUZvdlPPvmk8oijzdauuW7duipkC7l+uMYjR45Iz5491XYYzZDIxaQX6lJokrK4DxT5C8Y2LD36/LBF3n6wouTOGqUmAaKzRUlMjig5czXZq14CXyoGlh4nL99U7S6U+5Lvpqp18QVzSL/mcdK6QoyE+pDhQ4jX1Z+0mSNfAMZEpUqV0qiRmKp5YHvlypWlVKlSynvRokWLgHd3E9fRYxCrR3hA32alpEFcPrM8Dxj+SL5+58+9RlWRmsVzq7yJykXSyoQ6U88DCdKOGEiuDjwCKVHTl9m2bZtZHgLCS5HrhqJxAG0iisjpaVQ8+uijcu7cOeX1RogtPOEIrdUmn44ePao82hqXLl1SIbTYN3fu3MrTsWbNGomPvzezDV599VVlmMDTAsMD9TdwzECuUeHsJMblm3fkhelbzdZBlUibTDF40UvgK8XArHH0wg2ZuCJBKTrdSbn3lKoWzSUvtoiTZmXz+1wuEiFeNyoaN24sc+fONeqX429UVs2cObPH42fRQaDDwyxVRsCzgnMhxtaWUQF3N5O5iZ6DWD3CA0oXyG5m1Ow4fkVG/75LNh6+pJYL5cwkg+8vL+0rpw1zcqWehyP3bc/AI6NkeF8IwQgGMEA39RyvWLFCeXlNpWaPHTum+3X07dtXvayBySFTPvroI/VKD3z30VfY018ECu40sK/cuKP+h8zp5X//tuUl0LtOjS8UAzMl4ew1+XxZovz2z0lj+GW92LzSt3mc1C+Vl8YE8Xt0MypWrVplprzUrVs3NbOFQbur8bOaG1qLn7XVoWjMnDlTxfbiGjIC0oLIqTBN0iMkPfQYxGaUbOgM2vnRgb+/YJ+qiI2kb1RiharIs41jJXOk+1VFHLnvjMIT7EmG9+dETX8CBgXCXOGRQFu/ZcsWs7DQa9euqURo4vu408DWvBRoVyY8U13OJyVbNRiCSZ1t18krypiYv/OUUWijadl80rdZnNQswXaIBA4eq6iNMAtPx8+ahj7BEEHdDMsiSOgEH3roIeXtQE4FXN+It4VULSH2oMcgVks2ROKkO8D1VSmSUz5fniATliZI0u17eROdqhaS19qWk4I5nfMgustAypU5QiY8Xl3qxua1OVNpr6KT6bPzdghGIHP//fcr1b13331XVZuGsl6jRo3MFAARSkp8H/xG82SNkItJ/3kWXEEL+UROQMeqhYNWnW3L0UuqvV2y96xxXesKBaRvs9JSqcg9WW5CAgmPGRXeiJ8FqGEBr8nChQvTHA/hVOj4vv32WxU7i2Q8SCIiTpjhTcRetEHs8zYMAHScmhoJ8gvsdfWjU322cUn56u9DNqtja+9uGZ9fFu3+r+OypEOVgtL6k5Vy7OK9vIkqRXOpa6peLLfuH7Q9g/x3HqokDeKi3ZYM7y+Jmv4M2kmIXDRp0kSyZcum2lF4lDUg9e1JiVniPPjNjG5fQfrO2KZ7WJUewha+BCZQ1x+6qCTBVyWcV+twGw9ULiR9msVJ2Zjs3r5EQvzTqPjrr78kZ86cZqFKUGAypUOHDrrFzwLIxNrykiC/A9dIiN5odR8ccfVjNu/LlYfSDX8yHSTP335Khv62Uy7+WywJoPoqqtx+sfKQWi6QI0pea1NOOlUt7FFlEVcH+c4kw/tyomYggNyzlStXypUrV5RRYamWh7BTrCeexdk8hcTzSW6/FqhBYSLl9JWbql3Kky1KLl5PDkh1NowzVuw/p4yJTUfu5amFh4ZI5+qFpXfTOCkZbS5lT0ggEmJwR1ySFSw9BlZPHhKiZGL9Hag/wXhC5+qvGuXEtU4ckqmOqqdo3bw1V789x0S4wrohLc30y7UBReK5a7J07zlZtu+siuGNCg9VORPIncgaFe53Ax4U1epvxyzqJ12qWg23IGlhuxV4z9VangJCC3s0KKmSgdMTP6gxZpFSc3IHIf+qQKHdOX3VuVol/vJbRhXxRXvOKGNix4krah3a5EdrFpXnmsRKkdxZvH2JhHis3dJtdOErUrIkcNBbKcTTcozpufrtOSbinzcfuWQ2m4dntPPEFVVA6VryvYqs7SoXlCFty/lE5+asGgsVnQhJH1t5CjAUPlq8X6asOSTvdK5k1SuI9sadBgWu4ZKJ8pMz+Lo6G9raP3acUjkT+85cU+uQnP54nWLSq3GsFMigvg8hgYhf5VSQ4MWXlUJckWO05ep3VKYWDscle87KW/P3yKF/wxgqFs4hwx+oEBAqR1R0IsS14nWQd0Xe1yQrnlF3SsrCQ4FzORsC4evqbHdSUmX21hOqUKjW1maPCpfu9UvI0w1LqnBTQoIV3Y0K1KewF0fzK0hwoJdSiLs8H+6YUbPs1B2Zmd9/5pqM+X23/H3gvDGOGZWwURE7UCqyUtGJEPd4S615Rt3Rhj3ToITkyBwhHy0+4PQx3K3O5kwbb+s9t+6kyMzNx2XS8kRjoVAYUM80KClP1i8hOTNTPpkQ3Y0KSLkid8IydcNyXaDkVxD3opdSiDs9H+6oKWHZqdszM58/e5TM33FKpm84qp5TZFioPNOopFIYyebFvAm9oKITIdZxxNNgzTOqtTfOhHFq7SbaYOSBuYI71dmcaeOtvQfiFo1KR8vK/efl7LVk48QNlPker1PcqzlqhPgauv8aIOX62muvydtvvy316tVT69auXStDhw5V61BlmxB3qv5kBDoOa/Kvzno+0ptFd9bVn9ExsYycie/WHVHLbSrEyOv3l5dieb2fN6EnVHTybVA8FNLc9gh1EPfhqKdhdcI5s1n7jGSxLXmibjFVtM10Jh8qT84YJcPalZfo7FFuzZNzxrtt6z1nribLL5tPqL8L5cwkzzctJf+rWVQyRbi/UCgh/o7uRsVLL70kkyZNkoYNGxrXobAcCiU9++yzsmfPHr0vgfgxjuYWZARm9AfP2mF1m+b5GDl3l2TPFCHnr1uvBOvILHrWyDApUyC7bD122WFXv61jYl/cx43bKVIuJrsMbx8v9UvZrvEQaDib7E30Jz4+XrZt2yaxsbF83B7EUU/D+GWJ8uuWE2az9vi/aZloWb7/Xhhlehy7eEPGdKqk/kZbBINi/o6TDl2zNqHyVIOSbhXccMa7bU9OSs7M4bJkYFPJHEljghCvGRWoUp0rV6406yFddfjwYb1PT/wcd6v+QPYPSYS2QKcCCcTHv17vUFgUOqWcmSPl1TblZPWB8/LHjpNy806qqlxtzaDQ4nHH2lBjsZyZR2LgN6sOyp5T19S58maNlIH3lZVHaxX1CQWsYMJXVch8AZ0UykkGmHo27f0ErM3aNyqdzy6jYvPRS+p3sGj36TSTHo6gR2V7Z7zb9uSkXLl5V7Ydu8wJDUK8aVTUqlVLBgwYIN99952x8vWZM2fklVdekdq1a+t9euLnuFP1B53glNX3isA5QkZhUdbicO3BHsnFKzfuyMdL9st3a4/I3VSDKqbUo0EJ6deitOTIxMRAT+PLKmQkuNE8m/DEpjdxkt6s/RP1Ssib8/eo2jbpce1Wipqg+XjxfqfyyHLbMaHiKe/2ycs35fPlCW49NiHBiu5GxeTJk+XBBx+UYsWKSdGiRdW6Y8eOSenSpWXOnDl6n574Oe5U/XFWiz29hHBbcbj2kF6S+d2UVPlxw1H5cNF+o/HRsnx+lTcRm49VigNJhcyfmTZtmtny3bt3ZdasWZI/f37juieffNILVxacaJ7N8UsPyJTVhzNs77RZ+6mrDxnzGpqWzSfL9p7L8FyYoHHWL4WieLhOd3sFsf/5f5OpMwKG0+Bft8uvW47LnRRDQNTOICRgK2qbglMsWrRI9u7dq5bLly8vLVu2VIpPgQAr0/rHDLG9VZnT48dedY3ub2craad3TLDqwHklEasVVCqdP5sMeyBeGpfJl+5xGJajHxl91prHbNVrzf0mFMod7VazZs3Mlv/++2+pWbOmZM6cWS2jjV+61DVFIH/DV/oDfGc/WrRfxi+zbxZeI2tUmCQl66/EaNnuudrmO+IxzhwRKsl3UyX139FP3di8sv/MVVVQNFB+34QEVEVtU9Cx3HfffepFiLdUf9xdT8LZStqWLN59WnWuh88nyZt/7JHFe84Ycy4GtCojj9UuJuFh6avpMCzH/1TIAoFly5aZLWfPnl2mT5/ORG0fAG1jg7hoh40KewyKqPAQSb7r2nzknztPqf9N23FtYgS5GpNXp825tOUVdNRjjHw30KxsPunbPE5qFM9jPIa46BEnJJjRzaiAbOyFCxfkgQceMHOVjxgxQpKSklT9is8++0yioqL0ugTiozg7o+6q6o876knAtQ6PB6779JV7BZBc5detxyUkNES+XXNYueFVbHPd4vJSy9KSK0vG1VkZluN/KmSEeAJX6k+kh6sGBZi29oh6ad4HkJGnwVooqj3KTZZAghvGRMXCOTNU23Nn7QxCAh3djIrRo0dL06ZNjUbFjh075JlnnpGnnnpKhT+9//77Ss985MiRel0C8UG8OaPuSj0JALtnzB//SSDnyZrxgN8eLt+4K1//fS+BHCFOHSoXkojwEKX0ZE8MsR7FAYm+KmSEeAL85jtUKShfrHRcoMJTYJLH3voY1ryC9nqM0fq1r1JIGROQ+bYG6+AQ4qNGBbTKx4wZY1yeMWOG1KlTR7766iu1jKRteC1oVAQPvjCjbms2CoYNOt8v/+18rQ3StfhbjUtJt912XaiO/UjNIjJrywkZ9Ms/dhtc6w5ecCosB8YI3gt9eexVLzZa6pbKS8PDAypkgczrr78uefIE9zPwJfA7n/vPvTAjX8VZn4fmFbTXO/hGu/LSs1HG9VNYB4cQHzQqLl26ZJSQBStWrJC2bduaSc1CBYoEB740o57ebFS1YrnTGBy4HEuDQrtud9GlVjH5bOkBhyvADv7VeiE/S0w7XvU+C9lJFMNCDsc7Osk8+jvuVCELZIYMGeLtSyAmuCvvyxeJzhqlJkUOnLlu1/4VCv0X6kQI0Yf0sz9dAAbFoUP3Zn1v374tW7Zskbp16xq3X7t2TSIiqLMfLDiS6OoJtNmojlULq/+1wSAG1FD4gDLJJ12qyrB25a0aFJbkyWr+Xcas9ovN4yRrZMY/sZgcUfLzpmM2DS4AQweGmaXXx16JXC0sB+9DqIE1HXuswzbsQ2x7ueCRMPv8cmYKSjlZ4vsEao4PJkAGzvxHun61LsNE9JB/2+Ng9yIS4teeivvvv18GDx4s7777rqpHkSVLFmnUqJFx+/bt26VUqVJ6nZ74GP6U6Grq/h49b5dd7xn2QAWJyZEpjeejXMHs8sIPW9N9b9faxeSjxQcyNLgQroSFNQfPy9Q1h+3ylJiG5cAoGTl3d4bvGTl3F3MwbMCYa+JPBGqOz71JkYwnVOhFJCRAjArkU3Tu3FmaNGki2bJlk2+//VYiIyPNiuJRYjZ4FJ7gqrYH7GtNHQq4IifrDLfvpsrMzcft2hcGhaUy1abDF2XSioMZVpXdaKd3pte0TXLjtuP68VpYDkIFTl/N2Gg7fTU56KRRHYEx1yTY1Z/8BSo3ERIgRkV0dLSsXLlSFdKAUREWFma2febMmWo9CQ6FJwy64bK+cuNOuomuSH62LDKG9wHTkB3TBGZ3FX0zPQ5qRsAbcO3W3QzfhzNdSvqviuuJyzflnT/3yrx/TqrlbFHh0qdZnJSPyS6bjsCAuOcJQcEl8Pps+/IiHDUoLHMkHPEC+YLHiBDiGmgHKxbOEXRGRd9mpaRBXD6PTD75KiyGSryB7sXvUKHPGlQICS6FpzNX/1PNsZXoCvWlPtPTvtda/L+WwPxs45JK3cRViVpHqrFaguvtM32rfJyaKolnk+SLlQdVtVYUjH+0ZlEZeF9ZyZf9nqemabn8Zu+F98BWFVdXmdC1ujQoHe1UKESghk2QwGPChAlKovz06dNSpUoVVf+odu3aVveF+iDqJe3cuVMt16hRQ95++22z/SF7Ds+6Ka1bt5YFCxaIvw0e4W1dsuesBBtX7ZgMCmRYDJV4C49U1CbBMethj8ITZs8jw0LlzLX/ZvbhoUBCNGpA2KuopO1nTX9dMzgmPFZNcmeNytCD4Wg1VlvX8/JP/xiTunGu4Q/EmxVX8pRHQPP6QCLWFFwTPEYZhUAhcZxJjSQ95s6da/cD6tChg24P86effpIBAwbIpEmTlGT5xx9/rAyAffv2Sf785gY8WL58uXTt2lXq168vmTJlUjl/CMPdtWuXFC5c2LhfmzZtZMqUKcZlXy3SmtHg8bu1h+0Smgg0LAvrBZOIgi9It5PgJcRgMARhk+Nerl69qjwyCPXKkSOHBOusB2bdocaREdmiwuR6corZIDajZGVnsJSCtXbNMIQsw61cIVfmCHmzU0VpV7mghMBVkQH2PjN70c5oq+PQ1J/SYxI7naDAlXYrNNQ+4UD8BlJSHM8DshcYEpAnHz9+vFpOTU1VNZD69eunhEIyAteWO3du9f4nn3zS6Km4fPmyEhjx5f7A1uDRtA1YlXBevl93VIIV7Vk8VL2wZIkKl+J5ssgT9UpIZLhuwpdeJaP+TJtwgsJhsIaFEX3brcD8ZRG3d1yWjZQ262EqP2rvrLupQaGOdTXZ7QYFsJyhs3bN7tZxh8TrW/P3yF+7TjuUSOmu5j0jeVOsh9Gg5amYgnU0KIg9YPBuz0tPgwJS5Zs3b5aWLVuaGTtYXrt2rV3HuHHjhty5cydNOC48GvB0lC1bVnr37i0XLqBIpO+QkVcYYHuqH7sp3DHmNfz7+mXLCeW5gDe83LA/Zez8jFXw/BFfk24nwQfDn4jbCtb5ehy+tWvWI/zIETezPUXVcmQOlys372boIZnwWHW7qmJrsqisqE38mfPnzyujxbTIKsDy3r177TrGa6+9JoUKFTIzTBD6BOXCkiVLSmJioqoSjsKtMFQsBUdAcnKyepnO+PnK4DHJYgLHX6hWNKfyKAz4+R+3Hxt2lhY2O+T+eAkk/Em6nQQmHjUqjh8/rhpwe13nxLvY23FNXX1IorNHKdlYxOybJmX7GqYzNVBgslfq1tFzWKsQbisvRSuqlkYx699wLZBRyNI7D1UyS8rOCJy3QVy0ehHiKklJSbJixQo5evSo8iCY8uKLL/rkA37nnXdkxowZyiuB/AqNLl26GP+uVKmSVK5cWdVUwn4tWrRIc5yxY8fKqFGjxJPYOyi8cds/E5a3HrsihXPrm2D+1d+HZOB95QIqFMreiT1fnwAk/otHjYr4+HjZtm2bxMbGekTpY+rUqdKjRw+zdUi4u3XrvwYZKSUjRoxQqiCIo23QoIFMnDhRSpcuLcGOvR0XXMqmITTaoFpPw8LV4+PeEAZlTzE4V40XGA/jlx6QKasPm1XANs3xyKioGsKSBs/akUYJS6t1wcQ74i22bt2qip0ilAjGBUKJ4EVAwVOEEOllVEC2HJ6DM2fOmK3HckxMTLrvHTdunDIqFi9erIyG9EB/hXMlJCRYNSqGDBmiksVNPRXI69ATeweFa1Ew00+Zv+OUFMgeKWeumRup7vRYIJH9mUaxASPBqoXTwluennQ7hThIQBgVruaEO6r0AZBwgu0alsmz7733nnz66adKQhDu7mHDhqlj7t6922z2KhhxZjYDdShAziwRVqVg3QUaxss3bsvNO6lOvf/w+Rvy8eL9ThkmWSJC5Yad5128+7T0/mFzurK4WphUekXVjCFLiRdk7cHzZrUu/K3jI4HFyy+/LO3bt1ftMhL91q1bJxEREdKtWzfp37+/budFMVVIwi5ZskQ6deqk1iGPA8t9+/a1+T60+W+99Zb89ddfUrNmTbs87MipKFjQeigjJqo8rQ6V0eDRVv6aP4FBf8PS+eTXLSd0O8eRizcCSoLVnnBarRgqIXrgV36/Dz/8UHr16qW8D/B6oBPDbBiqc9sCRgRmrbSXafwtjBwYJkOHDpWOHTuqGStomJ88edJp5Y9AwpkkYs1LkSk8VH7oWUc+erSqPFG3mF3vzZM1UilBpQc8IT88U0fGPVzFKYNCzdTkiJIfNxx12tNhr0EBvoF3woZxZZpQiVkyu0KWSkfLoNblZFDrsip0iZ0D8TbwPg8cOFCFtcJzgPwCzNRj8I58BD3BJBO8zJgU2rNnj0qqhrdE81BD0QmeBA1IyGLiCH1GiRIllMcbr+vXr6vt+P+VV15RhtHhw4eVgYK+IS4uTk02+drgMdD5c8dp6dWohFuStq0BNShHxEj8AS2cFhNvjoh4EOLzngoM0E25e/euzJo1y8yroMn42av0YdpB2KP0gU6iePHiagarevXqqtBRhQoV1LZDhw6pDsU0SQ8zbfCC4JimsbXeTszztVmP9DD8q+i06fAlmbHxqN3qSm92rCj/HL9ktfaERo/6JVQy8u/b71WrdgStX9JDvtbquUJguDqW4xFsBELIQbADr4SWJ4e2HXkV5cuXV23psWPHdD33o48+KufOnZPhw4ertrxq1aqqSJ02eYRrMc3hQ2gr+pKHH37Y7DgIgR05cqQyirZv366MFITDIgcQdSzGjBnjc7UqtMHj67N36FZA09vcuJMiX/99WHo2KqlyIDICgQj2BkSgmXmsTnFp/sFyu8VI/IWMwmkJ8UujwrR4EIB03y+//CKZM2c2ehHsNSqcUfqAHCBmpOCBgPYu4mhR9AiFjooUKaI6Ie0YlsfUtlnDG4l53sJWErE9fLR4v937Pte4pKDv/zIdg+LeMQ/IjI3HpEst+7wfpmiJz6h2rSdGA8wBV0gwqnEESshBsFOtWjXZuHGjykNr0qSJGuCjvf7uu++kYsWKup8foU62wp2QXG0KvA/pgb4JYVH+An4n8Ni+/NM2CWR+335KPutaTV6csTVdoyFnpnCZ8HgNOX89WYWezttuux/v1aikbDt22W4JVn+b9EkvnJYQvzQqli1bZracPXt2mT59ukuJ2o5Qr1499dKAQYEZtC+++ELNPDmLNxLzvDnbaznrcf5asllytitkjQqTXg1LygvNSkuT95fZNQ6HWxr5ELkyh8vlDKRWcfw3O1VSqlTac0HBOV1xIos82NQ4WPU1cID399q1a+pv5CpgoghhSDAy0gtNJe4BbVsgow3sz0JVMIN2Ff1BaEiIdKxaWL0K5dqtPBym0aXoGmFQQE72t2325WsE46QPIQFdp8IVpQ9TNz1m1aDiAbT34RimSXhYhhvdFt5IzPP2bK/prAeMmK9XHcowSdAeoKP+8ZIEmbbuqFxMsk/lQ3NL21OxOjIsVNpVKiibj1xSIVMYvFctmksXdaqmZaJl+f7zdrvfTT8vT6txeDPsyNH6J8S3MU12RvgTwo+I53Pf3FnE0xc5dCHJYQMAhgNkY6HyhKRsy4ralGAlJEiNCmeVPkxB+NSOHTuU/CGA2hMMCxxDMyLgdVi/fr2aafN1vDXbm5HChDODdXsNCg2c45Id6lLYp+7YxWYxx9miwnSRu9189LJT7xvWzrNqHN4OO3Kk6ivd94SkD9qODlUKppuLFgj8ts2+PDpLQwEGhCYbawklWAnxY/UnKIFAw9xTSh+jR4+WhQsXysGDB2XLli1K4vDIkSPSs2dPtR0z3S+99JK8+eabMnfuXGVw4BhIztMMF18lo9leR1SF3K0w8XJL36rxYZnEqIfMIpwm1245V2gqd9ZI8RS+oHTCqq+BBSZnENJq60X0Bb/ZjHLRAoGM2tcQJ7y+MMgwqWOrpgOgBCshPuqpMB3we0Lp49KlS0qCFvvmzp1beTrWrFmj5Gg1Xn31VWWYPPvss0rto2HDhuqYvl6jwhdme20pTAAkUwe6O94UV0qweCpe11fCjhhyEFhgYsZSkAMF8dCOQp6VeOc3HYw4agDAIBvzx+50hT0oGkFIAIY/OaP08dFHH6lXesBbAY8GXv6Er8z22lKYCAZ3PED/5aozKL1BNgYN6w5e+De53CD1YqOVpK4zg35fMEQdCTlITTWoRErKIfo2tgrcTZgwQTZt2uTx6wkmMvpNBwt5skbI2w9WcsgAsBU+rDGsXXkaFIQEulFBfH+2FwPhuf/4V8EgR+nbLE5yZ4lwSQVLGzzbctej0xs8a4dZ8bzxyxJVAcB3OjvWgfqaIZpRTs7NOyny+DfrjespNet/tG3bVnmnLaXFifugKtE9hj1QwaH2MCMPD9ohtO2tKxakWAQhgVpRm9hf7dqZ+FJ7uX03Vb75+6AM/22n+h/L/jp7ZoeAlFVKF8gm0dmjdHPXw6B4/vstVqtxY93zduQ/oOOEhwOz/fg/OmuUzxiitnJyYDABy/v21+q2wQxqErmSQ0cyJtikqN0lq+uI19ZeLNtbvfIZCfFl6KnwUzKa7XV3gpkmQfr134mydN85sxyCt+bvMep++9vsmbO5ENHZomTvKecrqaNI07sPV7Y6u4ZnPXKu9ThfU0bO3WUz/8GawhM6Xgzar9y4k27YkafkbS1zcvBMB/5svYgXpWZ9F8h0m8o7GwwGlceG/LfPP//cq9cW6GQUShjoONtmudtr621FPUJ8BRoVXsBdNQJsVbu2TDBz9XzWGkxTMCGj5U+82qa8Ko4XyKDoHga/p686f5+fd6shDeKirW7DZ3X6asadGc5vLf/BVqzwGRSP+vdvTxiijubkYHYvvWdKqVnfxFIpD2IZ+fLlk6ZNm0q5cuW8dl3BPrkU6Nhqs+zp79wZPsxCnoTobFRAntVeOnToIMGEu2c0bCkwaY2oq+fLKJnNlC//PiRztp6UMwFuVKgq3hlU8k4PPP+6sbYToR3x9Fjua4/CE7wVUeGhZgN4X1A68ZWcD+IYI0aM4CNzI45OAtmaXAp0UQxrbZa9/Z276lP4iqIeIQFtVNhb4wEucxSkCxb0mtGwpcDk6vkclStEKFGgGxRZo8JUFXBnCbHDG+BInLTlvvbECqMg4A8960hoSIhXKmr7o/gAMQdFQu0lR44cfHx2Mn/7SRn6206z2jr2TAKZTi79seOkfL/uaMA986ZloqVBXD7Jky1KhXJatlmO9HfuCh/2FUU9QgI6URuVru15BZNB4elide44nz8lXHsKVwwKDA7sMRzRWdqTeBiTI8o4k6YlCf5pZyLz+evJqpPrWLWw+t/bBoW3xQeIY+TKlUvV/rHnRexj7Pzd8sL0rWmKdZ6yU6QAv+ErN2/L/B2nA/KRL913Xikyvbdgr7pPy5AnR/u79Aq42jvBR+8qIeYwp8JDeHpGw97zrUu8IA1KR3skzCRTRKjcumOuFBUM+umQO7Q2s2YL7DOyQ7xSeEqPkR0qqH0zynnxl9l+T4sPEOdZtmyZ8e/Dhw/L4MGD5amnnpJ69eqpdWvXrpVvv/1Wxo4dy8dsB/O3n0q3ro/BjjAaR0JV/Rlrngdn+9eMwoczgt5VQrxgVKBi9YoVK1TF69u3b5tte/HFFyUY8PSMhr3H6TN9i7zzkPWaB+4eeHrSoMiVOUIu30wrx+optC7J0YJMGnjPpG7V09SpAKZ1KhwdSHha4Ukv8QHiXZo0aWL8G4VDP/zwQ+natatZrlylSpXkyy+/lO7du3vpKv0DzJ4j5Ckj0pt0CqbK2tZyFVzpX22FD9uDu3IzCAkUdDcqtm7dKvfff7/cuHFDGRfQLT9//rxkyZJF8ufPHzRGhSdnNNDB2KvAhIG3rfyKS0nJbqkY7Q0eqFxQWsfHyPL9Z+Wb1YfTbNdmwjFAt1YLwlXcMQjWZtFsVdR2dCDhL7P9rs4eEs8Cr8SkSZPSrK9Zs6b07NmTH0cG4Ht+Mcl8ss0Wi3aftjoARvsQTKGqlp4Hb3kM6F0lxMNGxcsvvyzt27dXnU7OnDll3bp1EhERId26dZP+/ftLsOCpGQ1nQmHEimsdx+kzfavfznx9v/6oTN9wVFqUz2/VcMC6sZ0rpRm8wpBC3K4rHfSwduXliXolZPORS6oQkiuDYrwH0rPW5GcdzXnxp9l+V2YPiWcpWrSofPXVV/Lee++Zrf/666/VNuI+7/Rv207KG+3+mxRA4dHZW4/L+3/tC+pn502PAb2rhHjQqNi2bZt88cUXSrs8LCxMkpOTJTY2VnVAcIt37txZggFPzGg4G1NrOesTKK50eFgW7T5rdRsUkGwNXltXLCiTVx2Ut+bvdeq8Jy/flCbvL9O9EJK9g5En6xWXthULcraf6MJHH30kDz30kPz5559Sp04dtW7Dhg1y4MAB+fXXX/nU3Th7fiHptmqnqxXLJT9tPCZfrEiUk0HkobD17LztMaB3lRAd1Z9MgVcCBgVAuBPyKgC8FseOHZNgwhm1CU3VBzPe+N+WWpM7DAFtkLouCFzpWkyuteeJjufSDfvCEayBcCvL53faTgUXPQYjMCh8ReGJBB4Ib92/f7/ySF+8eFG98DfWYRtJH8ye58kaafdjGjlvlzR8d6mMmLtLGRT5s0fJG/eXlwI5omwqpwUa1pTg3KHm5AraBJUvKeoREnCeimrVqsnGjRuldOnSKrlv+PDhKqfiu+++k4oVK0qw4ciMhiOF69wh/4prwTkH/7pDAh1T9avQfxP9TD+Lk5cdf5b4BENs5KDoUQiJSYLEV0CY09tvv+3ty/BL0BZ0qlpIJlvJ/bLGvtPX1P8wRF5uVUYeqVFEIsJC5cbtFPlo8X4JdNLzPNBjQEiAGxXoaK5du9cIvvXWW/Lkk09K7969lZExefJkCUbsiRd3tHCdq6pRMFYuJd1WalD+HvbkCLhfU5UozWgrnDuzQ8fRXO4oAOgp2WBvu/xJ8LJ9+3Y1KQQvNP5Oj8qVK3vsuvwVTDTYa1RoILk7X7ZIWb7vbEBW07YlppFRbhjzsQjxHiEGQ3rDIGJvdVmEc125csUt1WMRkgP3tq1OQks6W/Vac+OAEaFRXb9a5/Q5c2QKUwMEPZSQ/Alt+N2/RWn5eMkBu98HY6RtRfsGBp90qapc5O7CEY8WIe5ot9BWnD59WoW04u+QkBCx1pVgfTAVOXX2uWbU5tsid5YIY36YNaLCQiQ5xT+7eK0NoxIcIf4zjmXxOx/EmUI+9+JyI9JUY7WXq7fQ8QdX528NLUzpp03HJGfmcLly867NfbNFhcmYTpWMhe3wedhjVLhb1pAuf+JpDh06JPny5TP+Tdzjdcyo4KUl6RkUaMfCw0Ml2Q+Nur7NSsnLrcoaJ820fg7GF6WmCfFddDcqSpYsqWarbHHw4EG9L8HvcKaQDxrfB6sWtlqTgTiGZrS93LK0fLTYtrdi3CNVzDwB3sxxoMufeJLixYtb/Zs4x6HzSbJkz1m31gXCYZKSUyRTRKhHC4+6gwZx+dKEbdIjS4jvo7v600svvaTqUWivF154QerVq6dcLM8++6zep/dLnC3k0zI+RqcrCk5KRGdVVa3hiTAFhgPWW4YWabONwNKMZo4DCVS+/fZb+eOPP4zLr776quTKlUvq168vR44c0f38EyZMkBIlSkimTJmUpC3kbNNj5syZUq5cObU/qn7Pnz/fbDvCuCAoUrBgQcmcObO0bNlSyePqAZKuX/xxq7T4YLnM3HxcGRT1Yt1bnyU0nUk9X8RS1ck0x9ATqnqEEB/2VNgqcIeOYNOmTXqf3i9xZMbb1B0cnTUqwxhbYj+HzydJ/5ZlHIrpZSEkEmxAjGPixInG6trjx4+Xjz/+WH7//XdV/HTWrFm6nfunn36SAQMGqOKqMChw3tatW8u+fftUvocla9aska5du8rYsWPlgQcekOnTp0unTp1ky5YtRjVC1FD69NNPlbEET/uwYcPUMXfv3q0MEXew4/gVGb/sgPy164xxXYty+aVP8ziZvMq94WRQhfIFejYooTzp6TliQqyIS6Qnl66Hqp52ToZZEeJHidoIe6patapKDvF33J2oDcbO3y1frLTduSA0p3T+bGmqP2eJDPOZTsTfickRJasHt8iwo7LWAQF/65TYkQYX7mq3smTJInv37pVixYrJa6+9JqdOnZJp06bJrl27pGnTpnLu3DnRCxgStWrVUoYMSE1NVfK2/fr1k8GDB6fZ/9FHH5WkpCRl8GjUrVtX9UUwTNAdFipUSAYOHCiDBg1S2/F8ChQoIFOnTpUuXbq49Fw3Hb4ony1NkBX77z0TOBHur1hQXmhWSioUyinzt5+SF6Y7lldhC7Q2mb3QH+CerI0qMFHWoUpBmfvPKas5g7bEJewVIfmxV123qOoxzIoEI1f9PVH7l19+kTx53B9bHgigUfsyHYMC2Ir1p0HhPk5fTc5Q/jVQOqBAuQ/iebJlyyYXLlxQRsXChQuV5wBgVv/mzZu6nff27duyefNmGTJkiHEdlKgQrgSPiTWwXrs+DXgh5syZY0w6h6oVjqGBjhbGC95rj1FhCQyVNYkX5LOlB2TdwYtqHSYYOlYppIyJuPzZjUb90N92Onx8m+f9d4DvSRqXjpaHqheR/j9tS7MNnnf0axMeqy65s0bK6au35OL1ZFVvIyZnZpsTL87kGDqLo1LuhBAvFL8zTdRGA4tGG7NXn3/+ud6n9zvcURmbuI/0OqpA6YAC5T6Id2jVqpX07NlTtfWmVbThqUCug16giCrkauFFMAXL8JxYA32Ptf2xXtuurbO1jyXJycnqpaF539HXLdlzRsYvS5CtRy+rdRFhIfJwjaLSu0kpKZY3i9lxMIGB2hPuAEqA3euVSFdoQg9WHjgvqxLOW92mhSqN+WO3mRy6XjmGjuKNMCtCAg3djQrEq5qCmSRIEcItjmQ5Yt6oTV19KOCKGPkztjqqQOmAAuU+iPdAftzQoUPl2LFj8uuvv0revPc8e/AiIH8h0EF+xqhRo9Ksf3jSWjlw6V7oUVR4qHStXUyebRwrhXJl1m2mHWDmf92QFvKnl5KXU91cANRTqnrOSLkTQjxsVIwYMULvUwQE1sJP9CBnpjC5lpziNtnCQCWjjipQOqBAuQ/iPaD0pOU0mGJtoO1OoqOjJSwsTM6c+S/ZGWA5Jsa6Eh7Wp7e/9j/WQf3JdB/kXVgD4VemIVXwVCCvA8pO2bNnl271ikvPhrGSL3tUuvezeLd1T4ijvP1gRYkMD3V7PRx34ogBpanqwWuqVdnWQ1XPk2FWhAQqukjKolG190Vsy+XpwZVbNCg0HqpeyGn510DpgALlPoh3+fvvv6Vbt25KRvbEiRNq3XfffSerVq3S7ZyRkZFSo0YNWbJkiXEdErWxDNlya2C96f5g0aJFxv2h9gTDwnQf9FPr16+3ecyoqCiV2Gj6As83KaXCfIa0LZ+hQXHzdorM2+6aUQHlP1Opa22G3xf9i44aPJqqHiZ6TMGyu8IzPRVmRUggE6rXzFXu3LnteumpSf7VV19Jo0aNjOdC8p3l/k899ZTK+TB9tWnTRjwFcyi8R8Gcme/VoXCiowqUDihQ7oN4D4Q8IdkZNR0gzarlF0BFBHKzegIPAdp5yL/u2bNHevfurdSdevToobY/+eSTZonckDhfsGCBfPDBByrvYuTIkUravG/fvmo72n/UVnrzzTdl7ty5smPHDnUMKEJZhvJmRN/mcSoh2Z5JpdpvLxZX6NO0lGwa2sqszUqvbo63CLFRh8IecG8w0qDy9EmXqup/LLsr3ysjI8yVayckWNAl/GnZsmXGvw8fPqyk/TB412Z6oKKBTgCxqHpqki9fvlzF9GL2DEbIu+++K/fdd59KICxcuLBxPxgRU6ZMMZt58pXwE5Ixb9xfXtYdPC9L9jomXZl4LkkGtS7nUB0KX6ie7U4C5T6I98AAHG0yBt8zZswwrm/QoIHapieQiIXoB4rVIZEaIUowGrRE66NHj6o8Pg30BahNgRyQ119/XUqXLq2Un7QaFVrxPhgmKM56+fJladiwoTqmu2pU2COS4CgwhtCGWbZdturm5MoSof6/7OGaRgYbdSjsbX+xXq8wTE+FWRESyOhep6JFixZKGcQyYQ8N+5dffqkG/nppklsCpRB4LPB+dIAAxg46Dk1S0NP6vrO3npCXrcjvEftpHZ9fNh65JBeT7jic0LjxjZbGTsLROg3agEBsdED+opoUKPdBvFenAoXh4EFGDsE///wjsbGxqhZRfHy83LoVXJMm9j5XtDcN313q1kklWzLQ9tTSWX/wgny8RF+1qKcblJDh7Sv4tJS1L14TIXrjN3Uq4JXALJYlNWvWVMaGnprklty4cUPu3LmTpj4GDBt4OmBwNG/eXM2uaQomjkgIOgN0uu2hSZlo2Xf6utL2Jub8tfusc88+6bYxAdmZjiRQqmcHyn0Q74AchISEhDTyscingHFBPOeltiUDbWuG33Td6Sv61RTRgFfY16WscU5nvNeEEA8YFfAkIOb1vffeM1v/9ddfq216apJbgmqviI01LWyE0KfOnTurBL3ExETlEm/btq0yVKAs4oiEoDNgttweOlUtLB2qFjY2dAfOXJPxyxLdcg3BDJ6lK51boHRAgXIfxPP06tVL5SpMnjxZheGcPHlStZ+oSD1s2DB+JB4UP3BFBtpdNTJsYZqP4OtS1nqGWRESyOhuVHz00Ufy0EMPyZ9//qnClwCSpQ8cOKAS/DzFO++8o+J94ZUwjY01rZBaqVIlqVy5spQqVUrth9AtRyQEnQGVRO3dz7ShW5t4gUaFG4jOGiWDfvnHpc4tUDqgQLkP4lkQeopQVLSX8AY3btxY5aXBqEBoKvGs+IGzMtB5stmXS5gzc4Rcuel4LoZpPgKlrAkJTHQ3KlBdFVVWJ06caPQotG/fXp5//nmHBuLOaJJrjBs3ThkVixcvVkZDesBdj3PBnW/LqECH6a5kbi1RNj03uDXFCSyjaqqjeQQZoQ2bA72MhZaAjD9Yp4EQF35LISHyxhtvyCuvvKLazevXr6tcimzZssnNmzeVKhRxXCTB056QmBz2GTmfP15dQkNC/vWYX1cVwzPimQYlzLy9lLImJDDRRVLWEhgPkBacNWuWer311lsOz+w7o0kOEHY1ZswYpd6BPI6MOH78uFy4cMGs8JGeaIoT6cnYWVOcwPKDVf9TsHIHOEPPRiWDwqCQf5/reTtzWlYnnFcue0KI7TYaxkTt2rUlIiJCPvzwQxVWSqyjt+Sro54QzchJD2yvG5tXeUA6Vi0sDeKi7Tp2S5NcCkeujVLWhPgXuhgV27dvVwN+7e/0XnpqkkNCFjG9iPVFEiEkB/HCTBrA/5hdW7dunZK+hYHSsWNHiYuLU1K1nk6UtWzQsZxePL9lQ+0K8Ho827ikzNx8XAIJSCdq8onW6lDY22lhNg5KLci/IITcE6xAe4vJGki1agp6kOeGMYHQ15dffpmPyomibq7gbD0FGDkdqqQ/mYbtphNcztZ2YE0IQgITXcKfoBWOwTsUlfA33OPWlGuxHsnXemmSI+QKqlEPP/yw2XFGjBihih4hnAqGDYwUyMoiiRt1LODZ8GStCmcTZd3pPm9fpZB8sfKQ+Dsh/ya/D21XXuWhWJNONH2ujjxDb6uSEOJLoB3+4osvlPDFmjVr5JFHHlETPJikgZcCy7bELsh/oC1pXq6AfLf2sMz954T8czxjNcFsUWFyPTnFrfUUMGHyZQZ9ALZXK5bb2P45W9uBNSEICUx0qVNx5MgRKVasmDIa8Hd6FC9eXPwdd+n7urPGgKOEhIjoW7FEf5ytq+DIM9RyMVDJlcpIruFoXRDiW+0W8s9QgLRDhw6yc+dOla+Guj/ffPONavuDFUefqzU564zoUb+E1InN47Z6Co7UzChopf1ztrYDa0IQEljjWN2L3wUD3jQqbDXMEWEhcicluD5aVwoUOdqx/9irLpWSXICDCf9vt5BDcejQISlc+F5uFxKyoewHFb1gxpHn6mxFbYSrvv1gJbfJQENNsOtX6+ze31r75+wkAScXCPE+flP8DqFFUFNq166dWn711VdVJW0k9P34448B4anwNlro1LrECzJv+0mZv/O0XHVC8s/XyBoVJknJ6YfH9W8RJ7H5srnUoaJTy5k5Ul5tXVZW7D8nc7ad9IrGfLDgq0WviGMgdBWGhUZ4eLhSfCJ2Pr90ajVkBFT/3PlbcbQ9s7a/s5LUlLImJHDQ3aiA6hNyGwAKIo0fP165zH///XeVxAc1KOI6mw5flLf/3CO7Tt6Lx42NziqtKxSQiSsO+u3j7dUwVj5eciDdfX7edNylUCRnQg8AVUmcw9eLXhH7gZMb4U5a/tmtW7eUVHjWrFnN9mMbr19FbXf9Vhxtz9j+EUK8YlQcO3ZMqSkBqIMgafrZZ5+VBg0aSNOmTfU+fcBz7OINGfvnHpm/47Razp4pXPq3KC1P1ishkeGhsu/MNVm695z4E1reQq0SGauXOFPkyZXQA+3aHFVWIfdg0avAoXv37mbL3bp189q1+COuejudLXJnDUcEK5xRliKEBAe6GxVwh6PuAxK3Fy5caKxEjarWKIxEnCMp+a58vjxBvvr7kNy+myqYqOpau5gMaFVG8ppURu3VqJRfGRXafNuwdvGy9uAF3TpnZ0IPXFFWIfdg0avAAdKxxHncNdvvjlBMUzWm9LBVN4kQQjxiVLRq1Up69uwp1apVU5W1UWEb7Nq1S9WOII6RmmqQWVtPyHsL9srZa/cKt9UvlVeGPRAv5QvmcKpitydBX2RaQ85yGV4AaKGP+cP+kCRnOmdnQg9iXEgEJ/dg0StC3CsJ7i7jRKuZYSsc1BUhDHfAhG5CfB/djYoJEybI0KFDVRjUr7/+Knnz3nPTbt68Wbp27ar36QOKzUcuyuh5u+Wf41fUcvG8WeT1+8vLffEFbEo4Ws5AeUsPSru68V2rS+6skUaFkBrFc8vmI5eMy5eSkqXP9K0OXeelpNu6ze71bVZKShfITslTDw2kGF5GgoX0ajVoZI0Mk6Tb1sUq9PitwGDAxNXQ33aqZHBTtalh7cp7zaCgWhwh/gElZf1AUvbk5Zvyzp97Ze4/91SJskWFS9/mcdKjQQmJCg+za1YHA29HZv/djT2zXI5opVse29FkbXslFCkd635s1QVxts4I8U8p7EDFHXUqtPYSePK3YivPzJu/TV+8JkICjav+IikL/v77b1V59eDBgzJz5kyla/7dd99JyZIlpWHDhp64BL/k5u0UmbQiUb5YmSi37qSqAnX/q1FUBrYuk67L21YnhZmm3FmjlKFx4Mx1Gb8sQdfrz5EpXEZ1qGCsbJ3RoN9ZNRRnkhU5Y+49bIVZMLyMBLMkuK0aD576rfiiMpsvXhMhxItGBUKennjiCXn88cdly5Ytkpx8Lw8A1hDkZufPn6/3JfilVCO8EvBOaB1J7RJ5ZHj7eKlYOKfTNQAQVoQOqmPVwmqmXm+j4uEaReTB6kU8knDo6HvTCz1gQrb3B1KEBBPp1Wrw1G/FF5XZfPGaCCFeNCrefPNNmTRpkjz55JMyY8YM43pIymIbMeefY5dl1LxdsuXoZbVcOFdmlTdxf6UYm3kTzszq2JMkaCvO115wHk8lHDrzXs6YexcWvSLEd34rvqjM5ovXRAjxolGxb98+ady4cZr1iN26fPnewJmInLl6S95dsFdmbTmhHkeWyDB5oWkp6dkoVjJFWM+bcHVWJyMJwerFc8nmI859Rs5omTujhuJqsiJnzAkhxDeV2XzxmgghXjQqYmJiJCEhIY187KpVqyQ2NlaCnVt3UuTrvw/K58sT5ca/Kh+dqxeW19qUkwI5Muk6q4MB9bONS8oXKw9Z3Q8GBYwboF2bRtaoMElKTnFr6JA9aiiiQ5gSZ8wJIcGOL+aZ+eI1EUK8aFT06tVL+vfvL5MnT1bhOydPnpS1a9fKoEGDZNiwYRLMeROogv32/D1y4vK9IoDVi+WS4e0rSNWiuTwyq4Nwqbn/nEp3X82Y6N8iTu2PZhxejrqxeWXR7tNuTyC0FZKUK0uE+v/yjf9kDpnYSwgh7sEX88x88ZoIIV40KgYPHiypqanSokULuXHjhgqFioqKUkZFv379JBjZeeKKqjex4fBFtYyZmMFty0mHKoUyzJtw56yOI2pLP286nka2Va/QIVvH1a6Zib2EEOJ+fDHPzBeviRDi5ToVt2/fVmFQ169fl/j4eMmWLZvcvHlTMmfOLMGi74vB8Li/9snMzccFTz1TRKg836SUPNe4lGT+N8zIkzUAxszbJd+sPmz3sVmzgZDAgXUq+Fz9qXq1L14TIYHCVTfVqQgVDxEZGamMidq1a0tERIR8+OGHqk5FMJB8N0UmLk+U5uNWqBl/GBQdqxaSpQObyksty7jNoDCd1cEsjilYNjUo0EDP3nYvKdxeqLBBCPEVLl68qKTK0QHmypVLnnnmGTVpld7+8I6XLVtWTWYVK1ZMXnzxRdWJmgJvseXLVLkwGNDyzCA/jv99YfDui9dECPFQ+BPqUYwcOVIWLVqkDIpXX31VOnXqJFOmTJE33nhDwsLC5OWXX5ZABk6gv3adUXkTRy/eUOsqF8mpXLY1iuuXWGZPWBK2XUz6Lz/BHqiwQQjxFWBQnDp1SvUxd+7ckR49esizzz4r06dPt7o/8vnwGjdunJrgOnLkiDz//PNq3S+//GK2L/qpNm3aGJdhtBBCCPGSUTF8+HBVRbtly5ayZs0aeeSRR1Sjv27dOuWlwDIMi0Blz6mrKm9i7cELajl/9ih5tU056VytsIR6YIYlI0UjR7wOVNgghPgSe/bskQULFsjGjRulZs2aat1nn30m999/vzIaChUqlOY9FStWVMVYNUqVKiVvvfWWdOvWTe7evSvh4eFmRgSUCwkhhPhA+NPMmTNl2rRpagZo4cKFkpKSohruf/75R7p06RKwBsWF68ny+uwd0u7Tv5VBERkeKn2alZJlg5qqCtOeMCj08DpQYYMQ4itAQRADf82gAJjACg0NlfXr19t9HC1+2NSgAH369JHo6GgVrgvlQg+lHhJCiF+jm6fi+PHjUqNGDeMMERSfEO7kirqRr/PtmkPy5brTcu3WXbXcrlJBpepUNE8W8TXsLTQXkyNKRnaoQIUNQojPcPr0acmfP7/ZOhgGefLkUdvs4fz58zJmzBgVMmXK6NGjpXnz5pIlSxY1IfbCCy+oXA3kX9gK9cXLNOGREEKCEd2MCngmkEthPFF4uFJ8CmTe/2u/hEZlkQqFcsjwB+KlTqzt8CNvY0+huZdblpG+zeOYEEcI8QiQIH/33XczDH1yFQz827Vrp3IrkPtnimn9pGrVqklSUpK8//77No2KsWPHyqhRo1y+JkII8Xd0MyrgLn7qqaeUhwLcunVLJcVlzZrVbL9Zs2ZJoJA3a4QM7lhJHq5R1C8G4rb0v+HBoP43IcTTDBw4UPUb6REbG6vyHc6ePWu2HuG1UHjKKBfi2rVrKgk7e/bsMnv2bKVGmB516tRRHg14I7T+zJQhQ4bIgAEDzAyWokWLpntMQggJRHQzKrp37262jGS4QOf3FxtJ4fy+652whl4F7AghxFHy5cunXhlRr149uXz5smzevNkYZrt06VJVaBVGgC0w4G/durUyDubOnSuZMmWcW7Zt2zbJnTu3VYMCYL2tbYQQEkzoZlRAki/YyJ4p/RkvXyUjpShCCPElypcvr7wNvXr1kkmTJilJ2b59+yoREE356cSJE9KiRQslGIKEaxgU9913n9y4cUO+//57tazlP8CQgXjIvHnz5MyZM1K3bl1lcECu9u2335ZBgwZ5+Y4JISSIjQpCCCFEL3744QdlSMBwgOrTQw89JJ9++qlxOwyNffv2KSMCbNmyxagMFRcXZ3asQ4cOSYkSJVQo1IQJE5SoCEJ4sR8k0GG8BDqsWE0IcZUQg59p5aHBR9IcFD6qVKmitMkxC5WetC0S7w4fPiylS5dWSYDQMtfA7Y8YMUK++uor5U5v0KCBTJw4Ue3r6fLmhBDiKdhu8blqLNh5Kihz62hIEeLe/kC3OhV68NNPP6mEOBgBmHWCUYH4WMuEPQ0U3evatas888wzsnXrVlXRG6+dO3ca93nvvffU7BZc6JjFQiI5jonEckIIISSQgUEBFUBTgwJAbhzrsT0QwX01fHepdP1qnfSfsU39j+VAvV9CPIFfeSqQgFerVi0ZP368WkZSHlQ2+vXrp6QILXn00UeVHODvv/9uXIdY2apVqyojAreO+Fsojmgxs7DSChQoIFOnTlXxufbAGT9CiL/BdovPFTP1GEhbGhQakOuIyZlJVr3WPKDEOzRDynLwo90hVBED2UNDiAS7p+L27dtK6QNVUzUQR4tlVFe1Btab7g/ghdD2RxwtwqhM98FDhfFi65gA0oJakp9psh8hhBDiL0D1z5ZBATDoxnbsFyjAkEKol7XZVG0dtmM/QkiAGhWofoqCevAimIJlWxVUsT69/bX/HTmmVuwIxof2oiY5IYQQfwMy4u7czx8IRkOKEE/hN0aFL4FiR3ARaa9jx455+5IIIYQQh0BdInfu5w8EoyFFiKfwG6MiOjpa6YhDQ9wULNuqoIr16e2v/e/IMQEKHSHmzPRFCCGE+BModAqVJ1vZEliP7dgvUAhGQ4oQT+E3RkVkZKSqnLpkyRLjOiRqYxnVVa2B9ab7AxQz0vYvWbKkMh5M90F+BFSgbB2TEEIICQSQfA3ZWGBpWGjL2B5ISdrBaEgR4in8xqgAkJNFPYlvv/1W9uzZI71791bqTj169FDbn3zySRWapNG/f39ZsGCBfPDBB7J3714ZOXKkbNq0SRVMAiEhIfLSSy/Jm2++KXPnzpUdO3aoY0ARCtKzhBBCSCADlSOoHUHlyRQsB6IKUjAaUoR4Cr+qqA2J2HPnzsnw4cNVIjWkYWE0aInWR48eVYpQGvXr15fp06fL0KFD5fXXX1cF7ebMmSMVK1Y07vPqq68qw+TZZ59Vxe8aNmyojpkpE12fhBBCAh8YDq3iY1RyMnIJEPqDmfpAHVhrhpRlwb+YICj4R4ie+FWdCl+Feu+EEH+D7Rafa7DDitqEuLc/8CtPBSGEEEKIO4Anpl6pvHyYhARjTgUhhBBCCCHE96BRQQghhBBCCHEJGhWEEEIIIYQQl6BRQQghhBBCCHEJGhWEEEIIIYQQl6BRQQghhBBCCHEJGhWEEEIIIYQQl6BRQQghhBBCCHEJGhWEEEIIIYQQl2BFbUK8SEqqQTYcuihnr92S/NkzSe2SeVSVV0IIIWwrCfEnaFQQ4iUW7Dwlo+btllNXbhnXFcyZSUa0j5c2FQvycyGEELaVhPgNDH8ixEsGRe/vt5gZFOD0lVtqPbYTQkiww7aSEP+BRgUhXgh5gofCYGWbtg7bsR8hhAQrbCsJ8S9oVBDiYZBDYemhMAWmBLZjP0KIdS5evCiPP/645MiRQ3LlyiXPPPOMXL9+Pd3H1bRpUwkJCTF7Pf/882b7HD16VNq1aydZsmSR/PnzyyuvvCJ3797lx+AF2FYS4l8wp4IQD4OkbHfuR0gwAoPi1KlTsmjRIrlz54706NFDnn32WZk+fXq67+vVq5eMHj3auAzjQSMlJUUZFDExMbJmzRp1/CeffFIiIiLk7bff1vV+SFrYVhLiX9CoIMTDQOXJnfsREmzs2bNHFixYIBs3bpSaNWuqdZ999pncf//9Mm7cOClUqJDN98KIgNFgjYULF8ru3btl8eLFUqBAAalataqMGTNGXnvtNRk5cqRERkbqdk8kLWwrCfEvGP5EiIeBbCxUnmwJx2I9tmM/Qkha1q5dq0KeNIMCtGzZUkJDQ2X9+vXpPrIffvhBoqOjpWLFijJkyBC5ceOG2XErVaqkDAqN1q1by9WrV2XXrl38KDwM20pC/AsaFYR4GNShgGwssDQstGVsZ70KQqxz+vRple9gSnh4uOTJk0dts8Vjjz0m33//vSxbtkwZFN99951069bN7LimBgXQlm0dNzk5WRkdpi/iHthWEuJf0KggxAugDsXEbtUlJqd5iBOWsZ51KkgwMnjw4DSJ1JavvXv3On185FzA8wBvBHIypk2bJrNnz5bExESnjzl27FjJmTOn8VW0aFGnj0XSwraSEP+BORWEeLGzbBUfw4rahPzLwIED5amnnkr3ecTGxqqciLNnz5qth0ITFKFs5UtYo06dOur/hIQEKVWqlHrvhg0bzPY5c+aM+t/WceHxGDBggHEZngoaFu6FbSUh/gGNCkK87N6vVyovPwNCRCRfvnzqlRH16tWTy5cvy+bNm6VGjRpq3dKlSyU1NdVoKNjDtm3b1P8FCxY0Hvett95SBosWXgV1KcjWxsffC1m0JCoqSr2IvrCtJMT3YfgTIYQQv6J8+fLSpk0bJQ8Lz8Lq1aulb9++0qVLF6Py04kTJ6RcuXJGzwNCnKDkBEPk8OHDMnfuXCUX27hxY6lcubLa57777lPGwxNPPCH//POP/PXXXzJ06FDp06cPDQdCCMkAGhWEEEL8Dqg4wWho0aKFkpJt2LChfPnll8btqF2xb98+o7oT5GAhFQvDAe9DqNVDDz0k8+bNM74nLCxMfv/9d/U/vBZI4obhYVrXghBCiHVCDAYDCvgSF0AMLRL0rly5otzkhBDi67Dd4nMlhBB39gf0VBBCCCGEEEJcgkYFIYQQQgghxCVoVBBCCCGEEEJcgpKybkBLS2ElVUKIv6C1V0yrcy/sDwghwdof0KhwA9euXVP/s+ARIcQf2y8k6BH3PU/A/oAQEmz9AdWf3AAKLp08eVKyZ88uISEh4otoVV6PHTsWUApVvC//gp+X74AZKXQgqOsQGspIWD37g0D93msE+v0Fwz0G+v0Fwz1edeH+3NUf0FPhBvABFClSRPwBfNEC8cfE+/Iv+Hn5BvRQeLY/CNTvfbDcXzDcY6DfXzDcYw4n788d/QGnpwghhBBCCCEuQaOCEEIIIYQQ4hI0KoKEqKgoGTFihPo/kOB9+Rf8vEgwEqjf+2C5v2C4x0C/v2C4xygfuD8mahNCCCGEEEJcgp4KQgghhBBCiEvQqCCEEEIIIYS4BI0KQgghhBBCiEvQqCCEEEIIIYS4BI0KP2LlypXSvn17VfEQlVrnzJmTpiLi8OHDpWDBgpI5c2Zp2bKlHDhwwGyfixcvyuOPP64Ko+TKlUueeeYZuX79utk+27dvl0aNGkmmTJlUdcb33ntPt3saO3as1KpVS1WfzZ8/v3Tq1En27dtnts+tW7ekT58+kjdvXsmWLZs89NBDcubMGbN9jh49Ku3atZMsWbKo47zyyity9+5ds32WL18u1atXV8oIcXFxMnXqVNGTiRMnSuXKlY2FaOrVqyd//vmn39+XKe+88476Lr700kt+f18jR45U92L6KleunN/fF/EuEyZMkBIlSqj2tE6dOrJhwwaf/EgC7fvvS/3lzJkz1bPEPpUqVZL58+d75B6feuqpNJ9pmzZt/OYefW184O7f8lg77q9p06ZpPsPnn3/ed+/PQPyG+fPnG9544w3DrFmzDPjoZs+ebbb9nXfeMeTMmdMwZ84cwz///GPo0KGDoWTJkoabN28a92nTpo2hSpUqhnXr1hn+/vtvQ1xcnKFr167G7VeuXDEUKFDA8Pjjjxt27txp+PHHHw2ZM2c2fPHFF7rcU+vWrQ1TpkxR59q2bZvh/vvvNxQrVsxw/fp14z7PP/+8oWjRooYlS5YYNm3aZKhbt66hfv36xu137941VKxY0dCyZUvD1q1b1XOKjo42DBkyxLjPwYMHDVmyZDEMGDDAsHv3bsNnn31mCAsLMyxYsMCgF3PnzjX88ccfhv379xv27dtneP311w0RERHqXv35vjQ2bNhgKFGihKFy5cqG/v37G9f7632NGDHCUKFCBcOpU6eMr3Pnzvn9fRHvMWPGDENkZKRh8uTJhl27dhl69eplyJUrl+HMmTM+97EE2vffV/rL1atXq3t877331D0PHTpU9QM7duzQ/R67d++u7sH0M7148aLZPr58j740PtDjt9zajvtr0qSJOpfpZ4jPxFfvj0aFn2LZgKSmphpiYmIM77//vnHd5cuXDVFRUaoRAPgy4X0bN2407vPnn38aQkJCDCdOnFDLn3/+uSF37tyG5ORk4z6vvfaaoWzZsh65r7Nnz6prXLFihfEe0DjNnDnTuM+ePXvUPmvXrlXL+BGFhoYaTp8+bdxn4sSJhhw5chjv49VXX1UdpimPPvqo+lF7Ejzbr7/+2u/v69q1a4bSpUsbFi1apBo9zajw5/vCoAqdqzX8+b6I96hdu7ahT58+xuWUlBRDoUKFDGPHjvW5jyWQv//e7C//97//Gdq1a2d2PXXq1DE899xzut6jZlR07NjR5nv87R69OT7wxG/5rMX9AdP+1Rq+dn8MfwoQDh06JKdPn1YuXI2cOXMqF9batWvVMv6He7NmzZrGfbB/aGiorF+/3rhP48aNJTIy0rhP69atlUvu0qVLut/HlStX1P958uRR/2/evFnu3Lljdl9wsRYrVszsvuBuLVCggNk1X716VXbt2mXcx/QY2j7aMfQmJSVFZsyYIUlJSSoMyt/vC+5muFstz+3v94XwB4QSxMbGqpAAuJUD4b6I57l9+7b63ph+3mhrseyrn3ewfP892V96+54R9oKQmLJly0rv3r3lwoULxm3+do/eGh946rd8xeL+NH744QeJjo6WihUrypAhQ+TGjRvGbb52f+EO7U18FjSQwPSLpS1r2/A/GhdTwsPD1RfYdJ+SJUumOYa2LXfu3LrdQ2pqqorNb9CggfrxaOdEY4aGL737snbf2rb09sEP7+bNmyqmVg927NihjAjEfSLec/bs2RIfHy/btm3z2/uCcbRlyxbZuHFjmm3+/HlhQIE4U3S+p06dklGjRqk44p07d/r1fRHvcP78eTWZYO3z3rt3r899LMH0/fdkf2nrnrVj6AnyJzp37qyuMTExUV5//XVp27atGiiGhYX51T16c3wA40nv33KqlfsDjz32mBQvXlwZ+8htee2115RBN2vWLJ+8PxoVxGfA7Dc6sFWrVkmggA4aBgRmIH755Rfp3r27rFixQvyVY8eOSf/+/WXRokUqmSuQQGergQR7DLLQmP/8888c7JOAh9//wKNLly7GvzGbjXatVKlSynvRokUL8ScCcXxgz/09++yzZp8hhAXw2cFIxGfpazD8KUCIiYlR/1uqHmBZ24b/z549a7YdCgFQfzDdx9oxTM+hB3379pXff/9dli1bJkWKFDGuxznhmrt8+XK695XRNdvaB4oXes6OYRYFSgs1atRQSg9VqlSRTz75xG/vCy5SfIegIoEZLbxgJH366afqb8xs+ON9WQOzX2XKlJGEhAS//byI90C4AmaD02uTfZlA/v57sr+0tY83vgMIa8P3Ep+pP92jt8cHev+W+9q4P2tgsguYfoa+dH80KgIEuCfx4S9ZssS4Dq4txEUi/Abgf/z4MDDUWLp0qXK7aV9U7AOZOsQpamBWGjPueoQ+Ib8MPyiEBeFaLN2sGIxHRESY3Rdcf4j1Nb0vhBmZNo64ZvxgEGqk7WN6DG0f7RieAs86OTnZb+8LMyS4JnhftBficRF/rf3tj/dlDcgqYjYIM0P++nkR74EJBXxvTD9v/P6x7A+fdyB//z3ZX/rKPYPjx4+rnAp8pv5wj74yPtDrt2zI4P6sgX4WmH6GPnV/DqV1E68CxR1IhuGFj+7DDz9Ufx85csQokQcJsN9++82wfft2pfpgTSKvWrVqhvXr1xtWrVqlFHxM5eOgpgD5uCeeeELJnEFmDFJkeknK9u7dW8n6LV++3Ewy7caNG2aScZBZW7p0qZKMq1evnnpZSqrdd999SpYNMmn58uWzKqn2yiuvKHWICRMm6C7lOXjwYKXicOjQIfV5YBmqGgsXLvTr+7LEUp3CX+9r4MCB6nuIzwsSiZDogzQfFDn8+b6I90D7CUWhqVOnKqWdZ599VrXRpkotvkKgff99pb/EswwPDzeMGzdO3TNUttwlKZvePWLboEGDlAoSPtPFixcbqlevru7h1q1bfnGPvjQ+0OO33DuD+0tISDCMHj1a3Rc+Q3xXY2NjDY0bN/bZ+6NR4UcsW7ZMNRyWL8jGaTJ5w4YNUw0AvhwtWrRQ9RFMuXDhgmowsmXLpiTHevTooRofU6DZ3bBhQ3WMwoULq8ZXL6zdD17QbtZAI//CCy8oWTv8MB588EH1wzPl8OHDhrZt2yr9bHSE6CDv3LmT5vlVrVpVaTHjh2l6Dj14+umnDcWLF1fnw48cn4dmUPjzfWVkVPjrfUFir2DBgup8+N5jGY26v98X8S7QhMegB583ZBtRD8AXCbTvvy/1lz///LOhTJky6p4h7Yn6RXrfIwamGGii78EAH30Rag9YDhJ9+R59bXzg7t+yZHB/R48eVQZEnjx51LNHDREYBqZ1Knzt/kL+vTFCCCGEEEIIcQrmVBBCCCGEEEJcgkYFIYQQQgghxCVoVBBCCCGEEEJcgkYFIYQQQgghxCVoVBBCCCGEEEJoVBBCCCGEEEK8Bz0VhBBCCCGEEJegUUEIIYQQQghxCRoVhAQgTZs2lZdeesnu/Z966inp1KmTrtdECCGEkMCFRgUJKs6dOye9e/eWYsWKSVRUlMTExEjr1q1l9erVdh8jJCQkzathw4Zq2+HDh9Xytm3bjPuXKFHC6nu0Fwb0GZ1vzpw5ZuumTp0quXLlsvmeWbNmyZgxY+y+p08++UQdkxBCiH/1MWDkyJFStWpVp6+bE0vEHYS75SiE+AkPPfSQ3L59W7799luJjY2VM2fOyJIlS+TChQsOHWfKlCnSpk0b43JkZKTNfTdu3CgpKSnq7zVr1qhr2Ldvn+TIkUOty5w5s7ibPHnyOLR/zpw53X4NhBASbHijjyHEZzAQEiRcunTJgK/88uXLbe6zf/9+Q6NGjQxRUVGG8uXLGxYuXKjeM3v2bOM+lsumYJvpq0mTJmbbly1bptbjWjQ+//xzQ2xsrCEiIsJQpkwZw7Rp04zbihcvbnY8LIMpU6YYcubMafM+cN7+/furv4cMGWKoXbt2mn0qV65sGDVqlPq7e/fuho4dO5q9v1+/foZXXnnFkDt3bkOBAgUMI0aMMHv/nj17DA0aNDA+q0WLFqX7bAghJJDxZh+D9rlKlSo2z7t9+3ZDs2bNDJkyZTLkyZPH0KtXL8O1a9eM77U8LvoqQhyF4U8kaMiWLZt6IZQoOTk5zfbU1FTp3LmzmhFav369TJo0SV577TWHzrFhwwb1/+LFi+XUqVMqDCk9Zs+eLf3795eBAwfKzp075bnnnpMePXrIsmXLjF4ObdYKx9OWHeHxxx9X15WYmGhct2vXLtm+fbs89thjNt+HmbasWbOqZ/Hee+/J6NGjZdGiRWobPC/IwciSJYva/uWXX8obb7zh8LURQkig4It9DEhKSlIhWLlz51Z9yMyZM9X7+/btq7YPGjRI/ve//ynPCI6JV/369R26LkIAjQoSNISHh6u8AQyWkY/QoEEDef3119XgGqCR3bt3r0ybNk2qVKkijRs3lrffftvqsbp27WrsQLROBOTLl0/9nzdvXhVLm1EY0rhx41Qs6wsvvCBlypSRAQMGqE4H602Ph+vF8bRlR6hQoYK6n+nTpxvX/fDDD1KnTh2Ji4uz+b7KlSvLiBEjpHTp0vLkk09KzZo1lRsfwLiAkaI9K8T7vvXWWw5fGyGEBAq+2McAtP23bt1S561YsaI0b95cxo8fL999950Kz8LxEYar5YDgxXAr4gw0KkjQxbuePHlS5s6dq2Zlli9fLtWrV1cdwZ49e6Ro0aJSqFAh4/716tWzepyPPvpIJcppr1atWjl1PTgnOh5TsIz17gTeCs2ogAf9xx9/VOvSA0aFKQULFpSzZ8+qv5ETgmeFzkejdu3abr1mQgjxN3ytjwE4L4wYeJ5N+xl4TtCWE+IuaFSQoCNTpkyqgR42bJhKnIanADPyjoDBNGb5tZdpY+2LYNYLnceWLVvUPR87dkweffTRdN8TERFhtgzFEXRChBBCbBOMfQwhgEYFCXri4+NVzGn58uXVYBvxpBrr1q1z6PloLmNN7SkjcE5LqUEs45pMB/f2Hs8WRYoUkSZNmqiwJ7zQ4eXPn9/p45UtW1Y9K7jONZzJ9yCEkEDHm30MwHn/+ecfdQ2m/UxoaKhqy7XjutrPEEJJWRI0QNLvkUcekaefflqF9mTPnl02bdqkkpA7duwoLVu2VHkN3bt3l/fff1+uXr3qcPIxBuqITV2wYIEayGPGKj251ldeeUUlyFWrVk2df968eSrxDrG3pnUukMsAdzViXpFsB9ABWGqVYzs6EGsg3AmzZZA7hGvdFWCUlCpVSj0rPL9r167J0KFDjR4NQggJNrzdx9y8eTNNn4Br0Np+nBf1LFBLo1+/fvLEE09IgQIFjP3MX3/9pTzayNfAMS291YRkiMN6UYT4Kbdu3TIMHjzYUL16dSXHmiVLFkPZsmUNQ4cONdy4cUPts2/fPkPDhg0NkZGRSt51wYIFDsn9ga+++spQtGhRQ2hoqMuSsmDu3LmGuLg4Q3h4uJmkrKUEIF6lSpVKIymrgXNCxhD3rUkJaliTlLV8P7ZjP0tJWTyrcuXKGebNm6euAc+MEEKCDW/2MdZkYfFq0aJFhpKy4OzZs4ZWrVoZsmXLRklZ4jQh+Cdj04OQ4AUz75B+hYQqsQ3c6VCBSkhIUF4MQggh7GNI8MDwJ0KIU8DQghQhJGdhSKDeBkK0aFAQQgghwQeNCkKIUyCPAoWbjh49KtHR0Spe+IMPPuDTJIQQQoIQhj8RQgghhBBCXIKSsoQQQgghhBCXoFFBCCGEEEIIcQkaFYQQQgghhBCXoFFBCCGEEEIIcQkaFYQQQgghhBCXoFFBCCGEEEIIcQkaFYQQQgghhBCXoFFBCCGEEEIIcQkaFYQQQgghhBCXoFFBCCGEEEIIcQkaFYQQQgghhBCXoFFBCCGEEEIIcQkaFYQQQgghhBCXoFFBCCGEEEIIcQkaFYQQQgghhBCXoFHhRlauXCnt27eXQoUKSUhIiMyZM8fhYxgMBhk3bpyUKVNGoqKipHDhwvLWW2+58zIJIYR4APYJhJBgItzbFxBIJCUlSZUqVeTpp5+Wzp07O3WM/v37y8KFC5VhUalSJbl48aJ6EUII8S/YJxBCgokQA6bGifsfbEiIzJ49Wzp16mRcl5ycLG+88Yb8+OOPcvnyZalYsaK8++670rRpU7V9z549UrlyZdm5c6eULVuWnwohhAQI7BMIIYEOw588SN++fWXt2rUyY8YM2b59uzzyyCPSpk0bOXDggNo+b948iY2Nld9//11KliwpJUqUkJ49e9JTQQghAQj7BEJIIEGjwkMcPXpUpkyZIjNnzpRGjRpJqVKlZNCgQdKwYUO1Hhw8eFCOHDmi9pk2bZpMnTpVNm/eLA8//LCnLpMQQogHYJ9ACAk0mFPhIXbs2CEpKSkqAdsUhETlzZtX/Z2amqqWYVBo+33zzTdSo0YN2bdvH0OiCCEkQGCfQAgJNGhUeIjr169LWFiY8jzgf1OyZcum/i9YsKCEh4ebGR7ly5c3zmoxz4IQQgID9gmEkECDRoWHqFatmvJUnD17VoU/WaNBgwZy9+5dSUxMVOFRYP/+/er/4sWLe+pSCSGE6Az7BEJIoEH1JzfPPCUkJBg7jA8//FCaNWsmefLkkWLFikm3bt1k9erV8sEHH6jt586dkyVLlijFp3bt2qnwp1q1ainPxccff6yW+/TpIzly5FAys4QQQvwH9gmEkGCCRoUbWb58uTIiLOnevbtKur5z5468+eabKmfixIkTEh0dLXXr1pVRo0apmhTg5MmT0q9fP2VEZM2aVdq2bauMEBgmhBBC/Af2CYSQYIJGBSGEEEIIIcQlKClLCCGEEEIIcQkaFYQQQgghhBCXoPqTG0BCNXIhsmfPLiEhIe44JCGE6IrBYJBr165JoUKFJDSU80vugv0BISRY+wMaFW4ABkXRokXdcShCCPEox44dkyJFivCpuwn2B4SQYO0PaFS4AXgotA8D8q+EEOLrXL16VU2GaO0XcQ/sDwghwdof0KhwA1rIEwwKGhWEEH+CIZv6PE/2B4SQYOsPGEhLCCGEEEIICR6jYuXKldK+fXuVSAJras6cOXYVH6pevbpERUVJXFycKkJnyYQJE6REiRKSKVMmqVOnjmzYsEGnOyCEEEIIISTw8CujIikpSapUqaKMAHs4dOiQtGvXTlW53rZtm7z00kvSs2dP+euvv4z7/PTTTzJgwAAZMWKEbNmyRR2/devWcvbsWR3vhBBCCCGEkMDBbytqw1Mxe/Zs6dSpk819XnvtNfnjjz9k586dxnVdunSRy5cvy4IFC9QyPBO1atWS8ePHG+UAkazSr18/GTx4sN0JLjlz5pQrV64wp4IQ4hew3eJzJYQQd/YHfuWpcJS1a9dKy5YtzdbBC4H14Pbt27J582azfaDPi2VtH2skJyerD8D0RQghhBBCSLAS0EbF6dOnpUCBAmbrsAwj4ObNm3L+/HlJSUmxug/ea4uxY8cqi057sUYFIYQQQggJZgLaqNCLIUOGKBeR9kJ9CkICnZRUg6xNvCC/bTuh/scyIYQEMmz3CLGfgK5TERMTI2fOnDFbh2XEi2XOnFnCwsLUy9o+eK8toCSFFyHBwoKdp2TUvN1y6sot47qCOTPJiPbx0qZiQa9eGyGE6AHbPUIcI6A9FfXq1ZMlS5aYrVu0aJFaDyIjI6VGjRpm+yBRG8vaPoQEO+hYe3+/xcygAKev3FLrsZ0QQgIJtnuEBLhRcf36dSUNi5cmGYu/jx49agxLevLJJ437P//883Lw4EF59dVXZe/evfL555/Lzz//LC+//LJxH8jJfvXVV/Ltt9/Knj17pHfv3kq6tkePHl64Q0J8z/UPD4W1QCdtHbYzFIoQEiiw3SMkCMKfNm3apGpOmBoEoHv37qqo3alTp4wGBihZsqSSlIUR8cknn0iRIkXk66+/VgpQGo8++qicO3dOhg8frpKzq1atquRmLZO3CQlGNhy6mMZDYWlYYDv2q1cqr0evjRBC9IDtHiFBYFQ0bdpU0iurYa1aNt6zdevWdI/bt29f9SKEmHP22i237kcIIb4O2z1CgiD8iRDiWfJnz+TW/QghxNdhu0eIc9CoIITYpHbJPErlKcTGdqzHduxHCCGBANs9QpyDRgUhxCZhoSFKNhZYGhbaMrZjP0IICQTY7hHiHDQqCCHpgjoUE7tVl5ic5iFOWMZ61qkghAQabPcICfBEbUKI9zrYVvExShUFSYyIOUaIAD0UhJBAhe0eIY5Bo4IQYhcwICgbSwgJJtjuEWI/DH8ihBBCCCGEuASNCkIIIYQQQohL0KgghBBCCCGEuASNCkIIIYQQQohL0KgghBBCCCGEuASNCkIIIX7LhAkTpESJEpIpUyapU6eObNiwwea+TZs2lZCQkDSvdu3aGfd56qmn0mxv06aNh+6GEEL8F0rKEkII8Ut++uknGTBggEyaNEkZFB9//LG0bt1a9u3bJ/nz50+z/6xZs+T27dvG5QsXLkiVKlXkkUceMdsPRsSUKVOMy1FRUTrfCSGE+D/0VBBCCPFLPvzwQ+nVq5f06NFD4uPjlXGRJUsWmTx5stX98+TJIzExMcbXokWL1P6WRgWMCNP9cufO7aE7IoQQ/4VGBSGEEL8DHofNmzdLy5YtjetCQ0PV8tq1a+06xjfffCNdunSRrFmzmq1fvny58nSULVtWevfurTwatkhOTparV6+avQghJBihUUEIIcTvOH/+vKSkpEiBAgXM1mP59OnTGb4fuRc7d+6Unj17pgl9mjZtmixZskTeffddWbFihbRt21adyxpjx46VnDlzGl9FixZ18c4IIcQ/YU4FIS6SkmqQDYcuytlrtyR/9kxSu2QeCQsN4XMlxIeBl6JSpUpSu3Zts/XwXGhge+XKlaVUqVLKe9GiRYs0xxkyZIjK69CAp4KGBSEkGKFRQYgLLNh5SkbN2y2nrtwyriuYM5OMaB8vbSoW5LMlRCeio6MlLCxMzpw5Y7Yey8iDSI+kpCSZMWOGjB49OsPzxMbGqnMlJCRYNSqQf8FEbkIIYfgTIS4ZFL2/32JmUIDTV26p9dhOCNGHyMhIqVGjhgpT0khNTVXL9erVS/e9M2fOVLkQ3bp1y/A8x48fVzkVBQtykoAQQtKDORWEOBnyBA+Fwco2bR22Yz89wHHXJl6Q37adUP/rdR5CfBmEHX311Vfy7bffyp49e1RSNbwQUIMCTz75pApPshb61KlTJ8mbN6/Z+uvXr8srr7wi69atk8OHDysDpWPHjhIXF6ekagnxFmzziT/A8CdCnAA5FJYeClMwxMd27FevlPnAxVUYckXIPR599FE5d+6cDB8+XCVnV61aVRYsWGBM3j569KhShDIFNSxWrVolCxcuTPMYEU61fft2ZaRcvnxZChUqJPfdd5+M+T979wHfVNn9Afx0L9pCWS27BRSQDbIRBGS+IOKrgiBDQEVQBJShL1tFHLjgDwKCoigqIIIigoAiUoYge0NZpS2jtKV7/j/ngRuSNOM2ucm9SX7f95O35OZpehswN+d5nnPO7NnY4gSqwXs+uAqvoqIiTHHaiRPzuOpHamoqhYWFKfM3A5rGKwRjVx20Ou7j/o3p0caVFd9yZfwfrZQWvnBQU+RygCx433IMvK6gJLzngyu9b2H7E4ANuMqTkuNcYcsVAAA4D97zwdUgqACwAZeN5SpP5grH8nF+nMepseUKAABcG97zwdUgqACwAfeh4LKxzDiwkO7z40r2q+A+GEqOAwAA7cJ7PrgaBBUANuI+FJzDEBluuMWJ7zsit0GNLVcAAKCOciEBio4DcDRUfwKwAwcOj9SLdEpHbWnLFffBMJU14XU3oFFyyxUAAKhE7mVE+csNgE0QVADYiQMIpcvGmvs5vKWKqz/xNaTICVuuAABAHTfScxQdB+Bo2P4E4EKcveUKAADUgS2v4GqwUgHgYpy55QoAANSBLa/galxupWLBggVUo0YNCgwMpJYtW9LevXvNju3YsSN5eXkVu/Xq1Us3ZujQocUe7969u5N+GwD7tlxxYz3+ioACAMC9qFFlEMBjgorvvvuOxo8fT9OnT6cDBw5Qo0aNqFu3bnTt2jWT49euXUsJCQm629GjR8nHx4eeeOIJg3EcROiP+/bbb530GwEAAACYhi2v4EpcavvTvHnzaOTIkTRs2DBxf9GiRfTLL7/QsmXLaPLkycXGR0QYVsFZtWoVBQcHFwsqAgICKDIy0sFnDwAAAFAy2PIKrsJlgorc3Fzav38/TZkyRXfM29ubunTpQrGxsbKe4/PPP6f+/ftTSEiIwfE//viDKlSoQGXKlKFOnTrRm2++SWXLmq/mk5OTI26StLQ0m34nAAAAAK1UGQTwiO1PN27coIKCAqpYsaLBcb6fmJho9fs594K3P40YMaLY1qcVK1bQ1q1bae7cufTnn39Sjx49xM8yZ86cORQeHq67Va1a1Y7fDAAAAADAtbnMSoW9eJWiQYMG1KJFC4PjvHIh4ccbNmxINWvWFKsXnTt3NvlcvFrCuR36KxUILAAAAADAU7nMSkW5cuVEknVSUpLBcb5vLR8iIyND5FMMHz7c6s+JiYkRP+vs2bNmx3AORlhYmMENAAAAAMBTuUxQ4e/vT82aNRPblCSFhYXifuvWrS1+7w8//CByIAYNGmT151y5coVu3rxJUVFoIgYAAAAAoHhQweVWv/76a9q4caNInDZeDZg1axY5Em85WrJkCX355Zd04sQJGjVqlPi5UjWowYMHGyRy62996tu3b7Hk6/T0dHrttddo9+7ddOHCBRGgPProo1SrVi1RqhYAAAAAABTMqdi3bx917dpVrA7k5eVR5cqVad26dfTAAw/oPqDPnDmTpk2bRo7y1FNP0fXr18XP4OTsxo0b06ZNm3TJ25cuXRIVofSdOnWKdu7cSZs3by72fLyd6vDhwyJISUlJoUqVKonfcfbs2WKLEwAAAAAAWOdVVFRUJGMcPfLIIyIZeenSpWJ1YNKkSfT999/Tli1bqEmTJiK3gT+UW6qa5K44UZurQKWmpiK/AgBcAt638LoCACh5PZC9UsE9IhYsWCBWAkJDQ+n//u//qFq1aqJC0m+//Sb+DAAAnoUnknjVV7Jnzx6Rw8a5bn5+fqqeGwAAaDSnIjs72+A+d7F+/fXXxZahXbt2KX1uAACgUZxj165dO7FVtEOHDnTr1i36z3/+I4KJjh07Uv369cUYAADwDLKDCr5AmAocXn31VZEcPWDAAKXPDQAANIq3wPLu2R9//FFUy+OAgpfQL1++LApflC9fnt566y21TxMAAJxE9vYnrqzE3aZfeOGFYo9NnDhRXFwWLVqk9PkBAIAG/f7777R27Vpq1aoVtW3bVvT34Rw7LuLBuBrgyJEj1T5NAADQ2krFiBEj6KuvvrI4axUXF6e7//fff4t9tQAA4H54u5MUQERERFBwcDBVr15d9ziX5sb2JwAAz+Gw5nc9evSg+Ph4Rz09AACoqEKFCgZBw5gxY0RwoR90hISEqHR2AADgNkGFzEq1AADggrhPUGxsrO7+O++8YxBUcH+ghg0bqnR2AACg2ZwKAAAAyU8//WTxxXjwwQdFVSgAAPAMDlupAAAAz9WiRQtRNVDSq1cv5FgAALgxBBUAAOBwO3bsoKysLLzSAABuymFBhZeXl6OeGgAAuJt1YRHFnrtJPx2MF1/5vqdZsGAB1ahRgwIDA6lly5a0d+9es2O/+OILcW3Sv/H3GecDTps2TfTeCAoKoi5dutCZM2ec8JsAALg2h+VUIFEbAMBxNh1NoJkbjlNCarbuWFR4IE3vXY+614/yiJf+u+++o/Hjx4seSRxQfPTRR9StWzc6deqUqE5lSlhYmHjc3ATYu+++S5988gl9+eWXFB0dTVOnThXPefz48WIBCAAAOGGl4vbt2xQTE+OopwcA8OiAYtTXBwwCCpaYmi2O8+OeYN68eaLB3rBhw6hevXoiuOB+GcuWLTP7PRxEREZG6m4VK1Y0mAzjwOR///sfPfroo6J61YoVK+jq1au0bt06J/1WAAAeFFSsXr2annzySdFJtWnTpgY3AABwHN7ixCsUpjY6Scf4cXffCpWbm0v79+8X25Mk3t7e4r5+qVtj6enpoklf1apVReBw7Ngx3WPcwDUxMdHgOcPDw8UqiLnn5CavaWlpBjcApWGrI7hlUMHLwjwrxLM7//77r6jwUbZsWTp//rxoeAcAAI6zNy652AqFPg4l+HEe585u3LhBBQUFBisNjO9zYGDK/fffL1YxuBzu119/TYWFhdSmTRu6cuWKeFz6vpI855w5c0TgId04WAFQEq88tpu7jQYs2U1jVx0UX/m+p6xIghsHFf/3f/9Hixcvpk8//ZT8/f1p4sSJtGXLFnr55ZcpNTXVMWcJAADCtdvmAwpbxjnL66+/btAcTw2tW7emwYMHi8Z93ENj7dq1VL58efrss89sfs4pU6aIa590u3z5sqLnDJ4NWx3BrRO1L126JGZ2GFfG4NwJ9swzz4jtUPPnz1f+LAEAQKgQGqjoOKVwIjNfH3hbkr4+ffroPnwrqVy5cuTj40NJSUkGx/k+50rI4efnR02aNKGzZ8+K+9L38XNw9Sf95+RAxJSAgABxA3D2VkcuMcCPP1Ivkny8UXETXHClgt90k5PvLKtXq1aNdu/erduLiopPAACO1SI6QlR5MvcRgo/z4zzOGXjra6NGjUSjO25w17dvX3F77LHHxM1ReKW8WbNmtHXrVt0x3s7E93lFQg7ePnXkyBFdAMHVnvgap/+cnCOxZ88e2c8JoBRsdQS3Dyo6depE69evF3/m3Ipx48bRI488Qk899ZRDLyAAAEBiRpLLxjLjwEK6z487a+Zy7Nix4sP4tWvXROUlTnzmRnfNmzenP/74w6E/m8vJLlmyRJR/PXHiBI0aNYoyMjLEtYnxVif9FZJZs2bR5s2bRSB04MABGjRoEF28eJFGjBihqwz1yiuv0Jtvvimucxxw8HNUqlRJBEoAzuSqWx3Bc5V4+xPnU/BsEBs9erRI0t61a5dY4n7++ecdcY4AAKCH+1AsHNS0WJ+KSBX6VHBVpG3btontSFx9iW/t2rUTCcyca8cFPRyFJ7OuX78umtVxIjVvUdq0aZMu0Zq3Y/H5SG7duiVK0PLYMmXKiJUOvn5xOVoJ5wlyYPLcc89RSkqK+F34OdGjApxNq1sdAczxKirhniV+k+bqFsYNg/hpOEGNt0R5Gl4e56ofnKTHjZUAAJy155q3SPBMJX+w4C1PclcolHrf4g/nPOvPqxU1a9akpUuX0sMPP0znzp2jBg0aUGZmJnkSXA9Ayf++ucoT958x9UHN6+5Ews5JnZBTAZp43yrxSgVfOBISEop1K+U8C36M96gCAIDjcQDRumZZVV9qzqU4dOiQeP/nfg7ckZrzHXhVGw1QAezf6sgNLTmAKFJ5qyOA4jkVvCJhvEohNRTC8jAAgGfh7tPSlljOWeCiHe3bt6eNGzfSxx9/rPbpAbjFVkdekdDH9/m4M7c6Aii2UsEJcYwDiqlTp4qEPAmvTnB1DHMl9wAAwD1169ZN9+datWrRyZMnxco1b4syNQEFACXDgQOXjbV1qyOA5oIKKdmOVyq4IgYvb0v4z1xS8NVXX3XMWQIAgCY9++yzYkUiNDRUd4yb3HGy80svvSQ6WAOA6291BFA8UZtL9fEFBAnJ9yAxDwA89X2LG9CZyrO7ceOG6PmQn59PngTXAwBwNaolai9fvlx85Q6kXN3joYceEp21zeVaAACAe16E+H2fb7dv3zbIqeMtsZxTYRxoAACA+ypxUMF7ZZ944gnavn27CCLOnDkjKnwMHz5c7KH94IMPHHOmAACgGaVLlxbXAL7dd999xR7n4zNnzlTl3AAAwAWCCu426ufnJ/pV1K1b16AJESdzI6gAAHB/PLHEqxSdOnWiNWvWiDwK/Ty76tWri07UAADgGUocVGzevJl+++03qlKlisHx2rVr08WLF5U8NwAA0KgOHTqIr1xClpueYvsruCN7GkwCeJoS96ngih765WT1t0UFBASQoy1YsIBq1Kgh9u9yo6W9e/eaHfvFF1/oluelm3EvDZ5pmzZtGkVFRYnckC5duogtXQAAYB2vSOzcuZMGDRpEbdq0ofj4eHH8q6++EscBXNWmowmio/WAJbtp7KqD4ivf5+MAoEBQwU2NVqxYobvPH9S58RF3UX344YfJkb777juxxWr69Ol04MABUcaWa6Rfu3bN7PdwFjtXJpFuxqspfN6ffPIJLVq0SPTaCAkJEc+ZnZ3t0N8FAMAd8NYnfs/kSRl+X87JyRHHuYrI22+/rfbpAdiEAwfuZJ2QavhZIDE1WxxHYAGgQFDBH8IXL15MPXr0oNzcXJo4cSLVr1+fduzYQXPnziVHmjdvHo0cOVKUta1Xr54IBHjVxFIddA56uKyhdKtYsaLBKsVHH30kOsI++uij1LBhQxEwXb16ldatW+fQ3wWAl9Vjz92knw7Gi698H8DVvPnmm+K9eMmSJSLfTtK2bVsRZAC4Gn4vnrnhOJl6R5aO8eN4zwawM6jgAOL06dPUrl078UGct0P169dPNMerWbMmOQoHMPv37xfbkyTe3t7ifmxsrNnvS09PF8vzVatWFed77Ngx3WO8FzgxMdHgOblOL2+rsvScAPbCsjq4i1OnTonS4sb4vTQlJUWVcwKwB+dQGK9QGAcW/DiPAwA7ErWli8Ubb7xBzsSNlLj2uf5KA+P7J0+eNPk9999/v1jF4BUIXop///33xZ5fDiw40ZwDCuk5jJ9TeswUXt6Xlvileu0AJV1WN54Fk5bVFw5qSt3rR+EFBZfAK8Dct4hz3fRxPgWXGwdwNZyUreQ4AE9hU1Bx69Yt+vzzz+nEiRPiPm9F4i1J+iUFtaB169biJuGAgsvgfvbZZzR79mybn3fOnDmovw4OWVbnmiL8+CP1IlFhBFwCb0kdO3asmMDh7aa8fZRXel999VWaOnWq2qcHUGJc5UnJcQCeosTbnzh3gmekOLmZgwu+8Z+jo6PFY45Srlw58vHxoaSkJIPjfJ9nyuTg/b5NmjQRs2pM+r6SPueUKVPEyod0u3z5sg2/EXgiLKuDu5k8eTI9/fTT1LlzZ7HdlLdCjRgxgp5//nl66aWX1D49gBLjsrFR4YFikscUPs6P8zgAsCOoGD16tGh0x/kIa9euFbfz589T//79xWOOws2UmjVrRlu3btUd46pTfF9/NcIS3j515MgRUT6WcSDEwYP+c/JWJq4CZek5uXQuV5XSvwE4c1kdSd6gFbw6wdthuaz40aNHaffu3XT9+nW7VoMB1MR9KKb3rmdyRZnxcX4c/SoA7Nz+xLP8q1evFqsGEv4zl3rVLzXrCPwzhgwZQs2bN6cWLVqIyk2cKM5br9jgwYOpcuXKYnsSmzVrFrVq1Ypq1aolEgbfe+89UVKWZ9GkiyF3COfqJdy8j4MMXq7nLrB9+/Z16O8CnkmJZXXOyeAtUvqJhDxrxhc55GKAWnjiJzQ0VNxKlSqFvwgAAA9T4pWKpk2b6nIp9PEx7hvhSLxCwsnW3KyucePGdPDgQdq0aZMu0frSpUuiF4WEt2bxfl/Oo+jZs6dYhdi1a5fIAZFwSVxeon/uuefowQcfFMv3/JzGTfIAlFg1sHdZHbXTQWvy8/PFZAwX8OCtsXzjP3Op7ry8PLVPD8Dm3DdzpNw3lJQFMORVxM0arDh8+LBB8CB9EOdVAMbL3dzp+p133hEf/D0NByt8EeX8CmyF8iy2rBpIgQHT/49PCjTMVX/iCxh3czVX6pC/PzI8kHZO6oRleXDa+9aoUaPENlheGZa2jXKi9owZM8SK78KFCz3qbwPXA9fHk0PcPduab0e2otY1yzrlnABc4X1LVlDB/SB4q5C1oTyG8xY8DS4inslcaVhrwYGtwQgudKDF9y1+jlWrVomGqPo2btxIAwYMEM/vSXA9cH286jx21UGr4z7u35gebVzZKecE4ArvW7JyKjgpGwCUKw3LgQM/xtWgOCmbcyh4y5OlxD/UTgct4sIVxj0qGOeocZ4FgKtBSVnr17+SXLvAc8gKKrgjNeNVCF6N4JULXrXg6kv6CdsAnqIkpWHNLY/zm3BJls5xoQMtGjNmjKj0tHz5chFgMG4O+tZbb4nHAFyNlPvGDUmLLGw19cSSsigUAopVf/r4449FUDFu3DiaP3++SMLjikwAnkaNVQNc6EAr+vXrZ3D/999/pypVquiKdRw6dIhyc3NF7woAVy0py9tbvczkvnliSVlzW345+OLjlrb8gmcoUVDBydl8kejUqZMoK6vf3wHAk6ixaoALHWgF773V9/jjjxvcr1q1qpPPCEBZ/OGYPyQb575Femj5bnu3/IJnkB1UzJw5U6xScLO4du3aiRKtb7/9tniMS7wCeBK1Vg1woQMt4K1OoBzsUdcmW3Lf3JUSW37B/ckOKjp27Ci+ctdUnoXiBnEdOnRw5LkBaJaaqwa40IFWcIWnmJgYqlOnDp05c4ZOnz5NvXr1Uvu0XAr2qGtbSXPf3BUKhYCize84gOCmcXv37hV9Kfbs2UMPPPAAAgvwWNKqAa9I6OP7jt5bKl3ouJwhf/XEmTNQX1RUlMixY2PHjqXKlVFesyTQzBJcBQqFgOI5FdzgiLukcg3b6dOn05o1a+j5558vyVMAuBWsGoAna9KkCbVo0YKeeeYZ8bVx48Zqn5LLwB51cCUoFAKKrlQwDiA4l4J169YNAQUAVg3AQz388MOiaMf69etp5cqV4qt0zJkWLFgg+mQEBgZSy5YtxWq6OUuWLKH27dtTmTJlxK1Lly7Fxg8dOlTkD+rfunfvruoedQCtbPllxuvinlwRC+wIKtiXX35Jv/zyi+7+xIkTqXTp0tSmTRu6ePFiSZ8OAABc0Pbt22nbtm1033330WeffSa+Ssec5bvvvhNlzXnl/MCBA6KkLU94Xbt2zeT4P/74Q3T55vOMjY0V+YFdu3al+Ph4g3EcRCQkJOhu3377reLnjj3qriE3v5A+/+s8TfvpqPjK9z2Vmlt+wTV4FXEXuxK4//77aeHChWI2it+Ueabnww8/pJ9//pl8fX3FFilPo1R7cwAAV3rf4g/1/EGdrwmjR4+mhx56iJ566ilyFl6ZePDBB0XfJMYNWTlQ4PLnkydPtvr93NCVVyz4+wcPHqxbqUhJSaF169Y59HWNPXeTBizZbfX5vh3ZymmJwqhCZWjOxuO05K84KtT7lMQT8SPbR9OUnndm7T0R/p24nzSFPseWKKeCXb58mWrVqiX+zG+6XJ/8ueeeo7Zt2+oqRAEAgPtr2rSpmOln3EHb3AqBI3Bzvf3799OUKVN0x7y9vcVEF094yZGZmSmauEZEGJZ+5kCpQoUKIuDgCbQ333yTypY1/cGeu4fzTf/i7Ip71FGFqnhA8dmOuGKvEwcY0nFPDSxQEQsU2/5UqlQpunnzpvjz5s2b6ZFHHhF/5v2sWVlZJX06AI+e7eHZyp8OxouvfB/AldSuXVu89/OHc94Gy1ugeBvsRx99JK4PjnTjxg2x0lCxYkWD43w/MTFR1nNMmjRJlEfnQER/69OKFStEc9e5c+fSn3/+ST169BA/y5Q5c+aIGT7pJrfxn5b2qKMKlSHe4sQrFJbw4568FQpAkZUKDiJGjBghqn5wTXIpcfvYsWMiWQ5ACe6+vIpZQXAXjz76KPXr149eeOEFsW2ItyT5+fmJD/3z5s2jUaNGkRa98847tGrVKrEqwYGRpH///ro/N2jQgBo2bEg1a9YU4zp37lzseXilhPM69Fcq5AYWWmhmiSpUxX0Ve8Fgy5Mp/DiPG94+xlF/NQDuH1RwpQ0uK8vboLikrLQkzMvQnAAHYC93/8AtzQoaX7N4GwQfR8IbuBJOkOa8OrZ69WqxUvDvv/+K68O0adMcFlSUK1eOfHx8KCkpyeA434+MjLT4ve+//74IKn7//XcRNFjCzf34Z509e9ZkUBEQECBurlqWGp2Si7uYnKnoOABPUeKggpe4paQ4fTNnzlTqnMCDufsHbswKgrvhrU+hoaHiz7zliVctOLehVatWDq0I6O/vT82aNRPblPr27atL1Ob7Y8aMMft97777rsj/+O2336h58+ZWf86VK1fEll9u9OeOe9RRhaq46hHBio4D8BQlDipYdnY2HT58WCTl8Zu4hOt59+7dW8nzAw/iCR+4MSsI7oYLd3DRjscee0x8UJc6bPP1wdHV8Hjb0ZAhQ0RwwM33OJcjIyODhg0bJh7nik7c5ZvzHhjnSPDqyTfffCO260q5F5wryLf09HQxQcYFSHi149y5c6JsOv+OXKrWHWm1U7KaW2CfaV2D3tp4wuIWKD4VHgcAdgQVmzZtEt1TpWRtfRxUmEtmA7DGEz5wY1YQ3A1/SH/66adFMMHbg1q3bq1bteDcO0fi8rXXr18X58ABAnf05muUlLx96dIlsWoi4dK3XDXqv//9r8HzcJ+LGTNmiO1UPGHG/Zg4P4STuLm61ezZs+3a4qRlWqtCpYUtsP6+3tS5bgXactx8NTN+nMcBgB1BBdf/fvLJJ8WbuHHVDQBP/MBdkhk1pWYF3T2RHVwHf0Bv166daBLHzeckHGDw6oWj8VYnc9udOLla34ULFyw+V1BQkFht8SRSFSreXsrvIEUqd0rWwhZYfn89Gm+5NDA/zuPwvgtgR1DBSXC85IyAAjxlGV7JGTUlZgXVnsUDMMZbhYyTo3k7ErgGLVSh0tIWWGur5qTCqjkmksAtgwqeleLZHy6xB+Duy/BKz6jpzwqaY2lWUAuzeADGOXaffvopbd++vVienVQdCrRP7SpUWtoCq7VVc37fn7H+GCWm3WuyGBkWQDP6PID3e3DtoIIrPz3xxBP0119/iRreXI9c38svv6zk+bklzDi4xjK8o2bU+OL93EPRonmSfiIgDxvZPtrsRUIrs3gA+oYPHy7yJ3jCiVcnOLcOXJPanZK18mFeS6vmHFC8YGISigMMPr4IE0ngykHFt99+Ky4g3CyIVyz0LyD8ZwQVlmHrimsswztyRo3/DSzeEVcsOCgqInG8SbUyJn9PrcziAej7+eefaePGjdS2bVu8MOAWH+Z5haZ0sB+lZOaZHVMm2M/hq+Y8kTR57RGLY/hxTCSBywYVb7zxhii5N3nyZIOqGmAdtq64zjK8o2bU7Flt0MosHoA+Ltkq9akA8JQtsFYabiti97mbFgMbxo/zuLa1yznhjAAsK3FUwOX4uIwfAoqSsfZhkm/8OI+De8vwjzauLL5qKaCwZ0atJKsNSv1MAEf64IMPaNKkSQ5tdAeetQXWEmdsgeX3Xzkf5k29Tysp9vwNRccBaC6o4EZD3333nWPOxo2VpJoEuM6MmiVRJmbU7FltkH6mucupl5mfCeBI3HiOk7VjYmLEikVERITBDVwHT2rFnrtJPx2MF1/VmOSScs6M4wa+z8edsQVWO6vCcoMnbU26gecq8fYnbm737rvvilreDRs2LJaoPW/ePCXPz20kpmUrOg7UxTNlfRpF0Wc74syO4ceNZ9TKlZLXQMvUOFdKZAfPMWDAAIqPj6e3335blBpHorZrulNh6LjBNSgyLJBm9HFuLputOWdKsud9Wkm8Sj9/+1lZ4wBcMqg4cuSIrkvq0aNHDR7DxcS85PR7peCUGOdMqFZl+jVZfyjB4uvGj0/sXtfwQ77cib8i105kB8+xa9cuio2NNWh8B67FfIWhbKdWGNJKhbtCmSs0csfZqlVMWQr296HM3AKzY0L8fcQ4AJcMKrgWOZRcRIi/ouOcFRi4WrUqZwVAtjZHUmJZ3RUS2cFz1KlTh7KystQ+DXBghaEpTqowpJUKd7Hnb8oe1/6+8uRI/r7eFoMKfhzAZYMKfVeuXBFfq1SpotT5uK3I8CBFx5WErYGBq1WrcmYAZGtwkJyRK+v7rI1Tu548gOSdd96hCRMm0FtvvWWyd1FYWBheLA3bfd56haFbXGHo/E1qW6ucR+QyXE3JUnScIxPG+e8GZcRBK0oc4nK31FmzZlF4eDhVr15d3EqXLk2zZ88u1knVERYsWEA1atQQfTJatmxJe/fuNTt2yZIl1L59eypTpoy4denSpdj4oUOHim1b+rfu3btrJrHXXlJgYDz7IwUG/Lgty9Ako1qVM5P+bP09bWVrJaYImXtw5Y4DUBu/X/L2p86dO1OFChV077d8XeCvoG383qzkOHtopcJd5dJBio5z9SALwKF9Kj7//HMxOyU1O9q5cyfNmDFDVADh2SpH4apT48ePp0WLFomA4qOPPqJu3brRqVOnxMXMGDfn4yTCNm3aiCBk7ty51LVrVzp27Jiora5/UVy+fLnufkCA8h/o9JNszdXfVjrJ1p79qfYuQztz1UCNfbi21lPnxEc55I4DUBu2xLp23lqRzEQvuePs0ax6GVHlydL8Ez/O4xyJcxQW/HFO1jhPCLIAHBZUfPnll7R06VLq06eP7hhXgeIP6S+++KJDgwquLDVy5EgaNmyYuM/BxS+//ELLli0TzfiMrVy50uA+n/eaNWto69atNHjwYIMgIjIykhzNXJKtoz5s2xMY2DNDYm7bVIKDtk2psQ/X1kpMWunUCqCUDh064MV04apLpYP8FB1nj/0Xb1kMKBg/zuMcuf3TW2ZAJ3ecvZNXlq5vKCMOLh1UJCcni8Q8Y3yMH3MUbrq3f/9+mjJliu4YN+DjLU289C5HZmYm5eXlFaudzisa0rJ9p06d6M0336SyZc2/YeXk5IibJC0tTfbv4cwkW3sCA1tnSCytGpBekz8lVw3UWiJ2VCUmtD8EV5OSkiJWsE+cOCHuP/DAA/Tss8+KbbKg7apLEcH+io5zh+0+12SWdpc7ztmlywFcJqeCywbOnz+/2HE+5siSgjdu3BA9MrgOuj6+n5iYKOs5uOtrpUqVRCCiv/VpxYoVYvWCt0f9+eef1KNHD/GzzJkzZ464WEq3qlWrarJbtD1Lp7Y2WlOjyZ+aS8R8wd85qRN9O7IVfdy/sfjK9819EFCqU6sWmlQBsH/++Ydq1qxJH374oZhY4huvKvOxAweKf2CGklVdcvR/28mZuYqOs0e5kABFx9lKqYIazipdjvd/cNmVCm5816tXL/r999+pdevW4hivFFy+fJk2btxIWsU5IKtWrRKrEpxfIenfv7/uz1y5hLdy8cWQx3HioSm8WsK5HforFSUNLJzB1n3/9mzvSUyVVw1D7jhH/55KKEklJiVeH1cr8wvubdy4cWI7LBfG8PW9c0nJz8+nESNG0CuvvEI7duxQ+xQ1SStVl26k5yo6zh0aSGuloIatpcsdDb2rQLGVCt4/e/r0aXrsscfEkjff+vXrJ5KludKSo5QrV458fHwoKSnJ4Djft5YP8f7774ugYvPmzSJosCQmJkb8rLNnzXex5BwMLpOof9MiKTAw9R4spwOztL2HP5Dr4/vm8iLUmOGx9/d0JntfH2dXuQKQs1LBq8BSQMH4zxMnThSPgbarLh25kqLoOHvckNn8Ve44W2mloIZWtoPp42tMu7nbaMCS3TR21UHxle/j2gM296ngLUSOTMg2xd/fn5o1aya2KfXt21cc4xK2fH/MmDEWV1b4XH/77Tdq3ry5rN4bN2/epKgo95jxlQKDYomAMme2S5oDotYMj6t0mrbn9dFKt1kAfTypcunSpWK5drx6HRoaihfLLLnbmhy7/elGRo6i49xh+5NWEqS1Vv3J1XpXgYsEFWol5fGWoyFDhojgoEWLFqKkbEZGhq4aFFd04ipUnPPAOEdi2rRp9M0334jeFlLuRalSpcQtPT2dZs6cSY8//rhY7Th37pyYXatVq5YoVeteS4eGbwNFRUUO2d6j5gyPK3Satuf10Uq3WQB9Tz31FA0fPlysCHP5bvb333/Ta6+9Jkp6g2mtY8rR/O3nZI1zpNAAP0XH2SO/oFDRcfaufptKoicnrn6rvbVXHya1wCFBBS9n8wfuoKAg8cGecVIerwbw9qKmTZuSIy9e169fF4ECBwiNGzemTZs26ZK3ebaMK0JJFi5cKKpG/fe//zV4nunTp4u+Gryd6vDhw6JMLgdKvALDfSy4kZ8jelWoUT7Q3MxCUlqOQ2YW1J7h0XqnaXteHy0uhQNwMMFNQ3lSh3MpGHfVHjVqlNh2Cqa1qlnWanlpfpzHOVK3epG0/1KKrHGO9uPBeNnjOtQp3ptKSf9eumX1cUfPytua2+gImNQCObyKSjJlTSTyJngm31RS3vnz5z0yKY8TtXmVJjU11WJ+hbnygRKlywfyzALvdTT3AVaa5eBqRUq+KUmBDJl5E3TkEqkrJJDZ+vrw3mrev2oNV6DScmAFrvW+JReX7ObVXsbFLoKDg8kTleR1dfY1wZT07HyqP+M3q+OOzuhGpQJt2twg238X/k3/XLQe4DSvXppWj7rTfNcRcvML6f6pv5KlT0deXkSnZvcgf98Sp6YqMhnp7OIcXGmQcyis4SqIXNkSPPN6UOL/GpCU5zrlA0sys6AkWxK8lXrjbfvOVoMEMr7v6ASykpZ3tfX1sbXML4AzcBDBvX745qkBRUnxf+scOESGGa6M831nBBTsu32XFB1nj0qlgxQdZ6svd12wGFAwfpzHOY/tW5jdMb8DtKnE0w5IynOd8oFKbZexZfbf2fkN5ptI5Ti0iZSt5V1teX2s7fMt0lCVK/AcXDCDG4Z+8MEHIk+NcYL2hAkT6I033jDYkgraywW7mJyp6Dh7PFApzGpfBmmcI+2Nuyl73MiHYhx6Ls7ewuwK+R3gRkEFkvIcXz5QqaBCiUoartATQc4qED+udFUkeythaD3/A0AODhy4cAfnT7Rte2dLys6dO0XeWnZ2ttMrBboiNd8Lqsic9Zc7zh5lZV6z5I6zVWZugaLj3CE5Wkv5HeBGQQWS8lynfGChzOVRc+Ps+dDszGBk9znrq0D8OI9rW7ucy77ZSz/THJSUBTVwoYulS5eKBngS7gfElfhefPFFBBUaZ+91Qkn7LybLHvff5o5rONuoSmn6W8ZEII/zpORoVyndDuop0bp0QUEB7d69W8xA3bp1iw4ePChuycnJ9OGHHzqsYpI7kFsWUMnygXtk5kqYGmftQzPf+HFT+QPObtAWe/6G3eNKmhehRr6KWjkyAJbw+79xjwrGx/gx0Lb9F28pOs6+c0lRdJyt5E4+KTVJZY4WK/5x4MDFXbggCCdl81e+j4ACSrxSwSVYueQq96eIjo6mBg0a4FWU6UGZ+wzljnP06oi1D7BkZoZEneVaL7vG2bKqosabvRYvMACNGjWi+fPn0yeffGLwYvAxfgy0LT0nT9Fx9sjNL1B0nK2aViuj6Dh3S47G1l0wp8QZdPXr1xelY6Fk9sjMqZA7ztGrI/ql6ywxHqfGbLrcZV9T42xdVVHjzV6rFxjwbO+++y4tW7aM6tWrJ5rg8Y3//MUXX9B7772n9umBFalZ+YqOs0eZEH9Fx9nq690XFB1nK1T8A7cPKrjKx6uvvko///wzJSQkiNq2+jcw7YcDlxUdV5LmSpaYa66UnJ4j62cYj1Oy4pTc7UitYqz/nmX494wx/D2traqQhS1earzZ4wIDWtShQwc6ffo0PfbYY6KJKN/69etHp06dEn2NHG3BggVUo0YNCgwMpJYtW9LevXstjv/hhx/E1iwez6vtGzduLFaqkxusRkVFiSavXbp0oTNnzpC7yszNV3ScPepGhSk6zlb7LtxSdJy9ydHM+FqD5Ghwi6CiZ8+edOjQIZGUV6VKFV1d8tKlS4uvYNqphNuKjpP7hvROP8tb1PhxU9uQImTOBBmPK1dKZsUpC+NK2m9Czu85x8Tvac+qihpv9rjAgNbk5eVR586dKSMjQyRkr1mzRtx48qlSpUoO//nfffcdjR8/nqZPn04HDhwQ2626detG165dMzl+165dNGDAALGa8u+//1Lfvn3F7ejRowYrL7yVa9GiRbRnzx4KCQkRz8mVrNxRqQBfRcfZo2b5UoqOs1Wwv4+i4+zBW3CfeyhaNNvTx/f5OHIZwKWDiu3bt+tu27Zt092k+2BaSKCPouMcrUJYoG3j7CxyJfWb4P4SpvpNKJnkbe+qihpN/tRqLAhgip+fHx0+fFi1F2fevHk0cuRIGjZsmNhyxYEAN97j7VimfPzxx9S9e3d67bXXqG7dujR79mxq2rSpyP+QVik++ugj+t///kePPvqoqGK1YsUKunr1Kq1bt47cUZua5RQdZ49nWtdQdJyt6kWGKTrOHnzNW7wjjowXzPk+H3d0c1eAkvC1ZakbSq5OZBgduJQqa5xS7CpBamNwcCND3rYpU+Ns7Tdh6++pRI6CGo2r1G6WBaBv0KBBuj4VzpSbm0v79++nKVOm6I5xoz3erhQbG2vye/g4r2zo41UIKWCIi4ujxMRE8RyS8PBwsa2Kv7d///7FnjMnJ0fcJK62DViJfkZKyZLZ94HH+fs6rqli2VL+io6zlaUtuhJn9akAkMOm9UzeM8v7VnmJmbup6hs8eLAtT+n2uErEN3svO7WahD01rq/JzKkwHmfPBcrWfhO2/p78QZxzMSz9TM7FsJYXoUYlDFTfAK3Iz88XKwO///47NWvWTGwXMl5NcIQbN26IMucVK1Y0OM73T548afJ7OGAwNZ6PS49Lx8yNMTZnzhyaOXMmuaqbmTmKjrPHs1/slT1uzYt3Gi06QkpWnqLj3KVPBYDiQcWGDRto4MCBlJ6eTmFhYeSlt9GP/4ygwjRbqymptb3H1kRtexoplaTfhH5Q4chSq45v9wTg2jgfgbcQMU7Y1qd/fXBXvFKiv/rBKxVVq1Yt8Yy0WiuPh6+kKjrOHldTshQdZ6vSwf6KjrMVyoiD2wcVEyZMoGeffZbefvttsXcV5Fn9z2XZ48Z0qq3Iy2rP9h5bE7X3xMksnRt3k9rfV16RfhO2/p58EZezMmJtFig3v5C+ir1AF5MzqXpEsNjv68ileQAt4Xw6NZQrV070TkpKSjI4zvcjIyNNfg8ftzRe+srHuPqT/pjGjRubfE5u+mqq8WvnD/6g6pHlqEqZIKpcJoiqlAmmyqX5axBVKh1EgX4+NvfJUdLl5ExFx9njTjJ4jupJ4zdv5yg6zlYoIw6upsT/ZcbHx9PLL7+MgKKE0nLyFR1XkhKk3HOhyMxHc07wNbW9x/ZtTLY3ouMP7vO3n7X6ncYf8G39PRNT5c12WRo3Z+NxWvKXYRLdWxtP0Mj20TSl553qUFqi5owogJL8/f3FdqutW7eKCk6Mt+Py/TFjxpj8ntatW4vHX3nlFd2xLVu2iOOMm7pyYMFjpCCCVx64CtSoUaNKdH5JaTl0PecW/WOmE3X50AAqFeBDcTeKf1hPuNsnxxnFF/KMtjDbO84e95UPoTPXM2SNc6SjV1MVHafGNRzAJYIKTmr7559/KCYmxjFn5KZqRARTckaqrHFKlyDlixO/+RSVoOzpiUR5yYY8rv3991YcWkZH0HwZE5c8zly/CWs5Dsb9Jmz9PZMzcq2fqIVxHFB8tiOu2HEOMKTjjgosbAkO1J4RBffBfSjkWrt2rcPOg7cdDRkyhJo3b04tWrQQlZu4vC1Xg2K8Hbdy5coi74GNHTtWFBv54IMPqFevXrRq1SpxPVu8eLFuuxYHHFwSt3bt2iLImDp1qiiPKwUucn0zsiWl5PtS/K0sunIri+JT+Gum+HNmbgFdv51D1y1UEOf3sZe+/Zc617lKVSOC7q5yBN9d9Qii0EDLvXnkKhviT0lpubLGOdpVmdt/5Y6z1UmZ1z+542wlXdu48qG5fyNKly4HcHhQsX79et2f+Y2Yy/EdP35cNA7ikoL6uH8FFLd0SAtq+uYWWeMcUYLU+MNkpJUPk/9clNfxmsc9RzV1971l7qE2NU7qN2HuDdRcvwlbf88ImT01TI3jLU+8QmEJPz6hax3Ft0JxcDBj/XGD/JvIsECa0cf836fUOdx4tkvqHI5ytFASXBFJwmVYf/zxR3GMP9wzrsokNcFzpKeeeoquX78umtVxIjWvLmzatEmXaH3p0iVREUrSpk0b+uabb0TJ2Ndff10EDlz5qX79+roxEydOFIHJc889J36Hdu3aiefkZnkl0bBKaZF3aIxfL544+fVoIr3+o+Vqd3kFRbTpmOkE8bBAX4MgQwo6+M98Cw/yk5XTElO+FB1PSJc1ztE4AFNynK1kpgbKHgfgKWQFFaZmaGbNmlXsGL+BcTUOKO5Ukszmd0m3qXWpsqqXIA32l7eIZTzOnpKy0rk+/1B0sS1FfKq8pcjSjHpJf0/+IC6HqXGcQ2GhybfAj/O44e2VW9WT+ngY4wCDjy8ysV3CWudwi6WFAUxYvny57s+TJk2iJ598UvSI4BwH8W+uoIBefPFFkx+qlcZbncxtd/rjjz+KHXviiSfEzRy+jvH1zdQ1Tgn8/GVC/CkkQF5Pon5NK1NEsL/BasetzDxKy86n4wlp4mZKiL+PLsi4F3jcu88rD3wufF8OuePskSGzpKzccbYqW8qPzlyXN86R5JRZn2KizDqAWmR9cjQuGwslp8T+fWeWIH20YSVad/CqrHFK1jyXGv0YfwCWGv00qVZGsa060n5VSyX7oszsV+WkbDnkjnPkBQZlCcGRuJzszp07dQEF4z/z1iReGXjvvffwF2BHEu4TzaoWe+/OyMkXAcadrVWZdEUEG9L9LLqRniM+ePMklbkJrUA/b7G6IXe2vXSg47c/ecn8YCx3nM3nIXPF3dHVzXaft15mnQNMHte2luObEwIonlPB3UV5ydm42gU3IuL9qSgpa5q9+/ed7YjMBDQe93C9ezXd8wvkBaCmxtnb6KekOQP8HH0aRZnMi5Dw46Z+Fld5ksPSuJLmRdh6gUFZQnB0nwruC3H//fcbHOdjmJByTBJuSIAv3VcxVNxMyc4r0As67gQed1Y57hxLup1N2XmFdE5GUrTkx4PxVLF0oG61o2JYoOKz45XC/en0tSxZ4xwpJ69Q0XG22nX2huxxCCrAJYMKToDr3r07VahQweD47du3xWMIKkzj/a1KjnO0FbEXZY97uct9BhceOXhchzqG/4bsmVG3JWeAP9SvP5Rg8Tz58Ynd6xa7eHLZ2Dc3nrA4y8eTWDxOqaTp2HPyyvXyOP0LDMoSgiPx+/7w4cPp3LlzIlmacbUk7rAtJUyDsoU0rOFytTXLlxI3UzgnLCH1TpAx/rt/Kem29cmsU0npNO67Q7r7vt5eFCWCDMNyuby1qmqZYBEQ+fmULJ/Mx8tb0XG28vPxUnScq+eYADgsqOAkM1NLfleuXDFI3gNDBy+nyB733+Yla5wkR0lnxXPy5e1ZNR7Hy/JymBpn64y6rTkD1oIYshDE8PME+fmIKi7m8OPmVlRsS5qWmxVoOA5lCcGR3n//fVGGlSsqJSTcCdK5xwMX9OC+RqB8IQ17cfGI6mVDxC0s0E9WUMGJ4fUrh4tAhAMSTiK/nJwlbkTFC3vwWx/noxn36JDuVyodSAG+PsVWWuWQO85W/F6s5Djb2faeD6D5oKJJkyYimOBb586dydf33rdyUl5cXJxYwQDTkmSWwJM7ztHVgmqWD6GDV6yXy+NxxrXX5TA1ztZ8DFtXOOzpcs7PZSmgYPy48c+0J2m6dUw5mr/9nNXz5XH6UJYQHImrK3HFJL5xTwfmjARtd2FLIQ0llS3lL6s3RL2oUPpmZCvd+xifq6lyueJYSpZYDbmami1u+y6Y7tVRITTgbqBxZ0vVbZmTUvnWqmTY6VZ2vqLjbBUlMzle7jgAzQQVUgWogwcPil4VpUqVMmhCVKNGDXr88ccdc5ZugPfAKjnOkdWCWOd6FWUFFTxOX3iwzG1eJsYVyswYNB5n6wpHcrq8SlWmxtn6M+3Z4tWqpvU+Hvw4jwNwdl4FV1riLVBPP/20OHb16lURXOhfK0CZQhpKsqVdKZ9vVHiQuDU3scOzsLBIVPgzDjru5XhkUVZeAV27nSNuBy7JW8mXlA72pfScfId11vbxKlJ0nK0iggMUHQfgaLL/i5w+fbr4ysEDJ2qXtGa3p6sbFSarmhKP00I5OmvbgsyNs2dP7J44eb0xeFz7++413IsIkpe0ZzwuQmYzJ1PjbM1TsCdpWk4fD37c+O9SWh0xByVlwR4XL14Uq9TcEyInJ4ceeeQRCg0Npblz54r7XGoWtCu3oEjRcczb20u89/GNK/aZ2kbNW5j0Aw0OPL7de5Fy8q3/nLPXs6j+9N9EDmIVE+VyxbHSwRQW5GtThSa5GRuOzewgKidz5V/uOABHK3GYz91LoeQiZM7gyx3n6HJ0V2/JK4VqPM6ejtq27h89KbMHCI/T7/4dGS5vydjUOFvzFOxNmuZVJV5dmrH+GCWm3VtBiQwLoBl9HjC56oSSsuBI3KWam94dOnSIypa9N9v+2GOP0ciRI/Hia1ygzOaccsfJwR/0ebKGb9wkUPLdXnkFQiSpWXniduyq6VX10ADfYs0B9e/zzzcVdGTKrOokd5yt7OmlBOASQQXnT3z44Yf0/fffi5kpLiWrLzlZ3myzp/lXZqI2j3viwWqK/ExbqwWx00nySg0aj7Ono7atOQOXZPaCMB7XrHoZkUxoaXsuP87jlKrcokTSdEn3YKOkLDjSX3/9Rbt27RLbYPXxqnZ8vLxqcKAee1ZslSY3V8LPm+jf6d3EKkd8yp1cjnt9Ou6Uz72RnityNE4m3hY3c8U0THUk5yR0OWRWUFellxKASwQVM2fOpKVLl4qqHv/73//ojTfeoAsXLtC6deto2rRpjjlLN3DKzJuarePk4CVmW8fx7I8cxuPs+QD7YHREsQ/oxrzujlNihWP/xVuyumLzOFP7nW2p3KJUGcmS7MFGSVlwJO5FwZNNpioC8jYo0DYfmWVf5Y6zR0m2HXE+xf2RoeJmSlbunV4dxj06pPtJaTkir+PstXRxs0WQr2OT6fWvF6Rw2WFnVpMEz1HioGLlypW0ZMkS6tWrF82YMYMGDBhANWvWpIYNG9Lu3bvp5ZdfdsyZurjb2XmKjpMjTGbPC1PjuNsqd2S1hsfps6eiEn94txYe8OPGH/LvLJ9fsvoz9ZfZlZrBt6Vyi7PLSKKkLDhS165d6aOPPqLFixeL+7ydJD09XeTh9ezZEy++xvFMvZLj7BHg70M52QWyxlkT5O9DtSqUEjdz5dATUrLv5nPoVa66lUX/XrpFeTJWTVJzCumhd7cXK5cr3edVBF87gzHpemG85bWihS2vjmRLjyXwHCUOKhITE6lBgwbiz1zVIzX1Tufl//znPzR16lTlz9BNlCvFnUIzZI1TSkpWrs3japcLopsZ1gMcHqdv5xl5HUB53KiOtQyOJabKa+BjPC5N5qqK8TilZvBtqdzCb76d6lSkr2Iv0MXkTNF5mxvlcf14V2qypVWYSXMe7k/BFQHr1atH2dnZovrTmTNnqFy5cvTtt9868UzAFq2iy9ICGdtOeZyjRYUFUFp2pqxx9uIeGTXKhYibsbd+OU5L/oqTva3W3BZcfk/V9eowEXhEmejVYZ7x+7Pz369t77EEnqLEQUWVKlVEg6Nq1aqJFYrNmzdT06ZNad++fRQQ4PgKBAsWLKD33ntPBDeNGjWiTz/9VNfF1ZQffvhBBDu8Rat27dqiIon+7Blv/eEZNV59SUlJobZt29LChQvFWCWVKxWg6Dg5rsrssmlqXFmRnGy9pOydcfZvm2LJGfKCIONxpYPlBWLG43gGX06JVkfsVzU127N0Z5zDZnvUarKlBsykORdfEzhJ+7vvvhNfeZWCO2wPHDiQgoJQP1/ruPyrkuPscU3mSrfccbbi9305nn8omrrUiyxWxUr6yr06+Cvf9pr4fk4tvNOro3hzQOn+H6eumfwgzz2tnPlB3p4eS+A5k2klDiq4osfWrVupZcuW9NJLL9GgQYPo888/F0nb48aNI0fii9b48eNFiUL++bzkzjNkp06dogoVKhQbz8mDvD1rzpw5YiXlm2++Ef02Dhw4QPXr1xdj3n33Xfrkk0/oyy+/pOjoaBGA8HMeP35c0bK53jJLrcodJ8f19Fybx92SsUphalxkeAAdtV45V4wzFiEzoDIel5Ipc0VG5jh9Xi4028MBMl/3uY9Hkd7XIrpzvE2tcrTx5fb0z4VbdC09WzQRbFy1tLiw8QWKx/O4IqPvl47zM5l8ft0Y/kn3zkP/OD+g+967vUbu/Rz957r7vVT8XIqdG+md292vx66m0vf/XCn22nAgxaV4+zSKoloVQvXO3/B57p2D4bmxQqPjxc6N/2fu9S8kE69PUfHnL7Twu+u+19w5SM9v6u9I7+/u7vPkZckrxiAHN0PlIIJv4FrW/hsve1yHOsWvs0q6lV2o6Dhb7TxzXda4w1dSaErPevRgjQjTvTrSc+iyiT4d0v3svEKR28E33tZrCn8mNPdBnpz4QR5VBLVNK5NpJQ4q3nnnHd2fuV8Fr1jExsaKmf3evXuTI82bN0+UKBw2bJi4z8HFL7/8QsuWLaPJkycXG//xxx+L+umvvfaauD979mzasmULzZ8/X3wvX1g5MOGE80cffVSMWbFiBVWsWFEknvfv31+R8+afw3+5cits8Ey82Q9jhYYfFE1+GLv7AeZWhrzmbtdvZ9NfZ64bfAhJktmngt8k1+y/ovtgxnXD5fD39aHP/jxn8GEs7oa8DzlbjifS0fhU3bmevSYvuX3jkQQ6LL7vzrneuJ0jq+Tuowv+prBAX5Mf1C29/sz4w3BBUZG4qFi6SLy48gCVDvKnQvFc0s8z/FBr/MFaZk6+x1t/KIFDDI9/HcS/zRxl8rdu3rypKyV7+fJlseqblZUlrgcPPfQQXmuNu5ycoeg4dxB3I9PucaJXR1iguJmqIMjXBL7Wm2oOKK12cIM/awtE/CGyy7w/6f6KoSbL58q9JluDKoLatUlD29LsbkfZunVrcXM0Ll27f/9+mjJliu6Yt7c3denSRQQ1pvBxXtnQx6sQHDCwuLg4sY2Kn0MSHh4uVkH4e80FFdzQiW+StLQ724SavbmFvPyDi80wlsSyXRfEzZnOXMugZz43tThr3cXkLJrww6ESf9/GI4niZgtbv2//pRRxKykOYJyJ/80k27CqYiue4OLkWumr192Sv3xflP69+9XSOHH/7jj9r/fG3L2vGy+NkZ6Hio8hL/L2vld+2OI5eBPdTM+V1UCxc50KYtuXdA7Gz88fBviI+XO9d/zOGOl3tnKu+q8jmXm99F53w3Mw8/dBZp5f/9zuns+dY/d+54z0NGr2ke3/bo4cOSICBw4keFJp1apVYhInIyNDvDdz6fHVq1eL1WHQrlwZzeZKMs4dyJ31t2d1gP/7LFsqQNwaVTUsIsL4c8Q3ey/RGz8etfpcPCFnblIuNNDXoFyucflc3uolp0EgqghqU4HGtqX5KjUr1adPH2rfvj05yo0bN0TZQl5F0Mf3T548afJ7OGAwNZ6PS49Lx8yNMYW3U3FpXWM5eYXk7a3ssqzZD1syPvDlFRSKmXZrOIGsVOCdzqPSB5IzSemUk2/9dwn286bm0WV1HwyPxKeK+uByEu1a1ypn8KGHE5a5EZ81D9epIGZlpHO9kpxFPx2yvufq6RZVKaZ8Kd3rdeFmJn0hI4Ab/XAtuq/ine/T/+DGL753CT8Y/n32On289azVnzmlRx3qXLeC1Q+G+vf1P8Df+Xdh6kO+4Tnb0m1Wq346GC8rqOjTuBI92rgyebq0NPs+JE6cOFEU7eCKgF999ZXYYspVAfmawHh7LK9sI6jQtgA/L0XHuYNqEUEUn5Ita5yj8HtztowKjOyp5lWoXqXwYuVzb2bk0u1sy706gv19zDYH5PtcPIbPBVUEtWlvXLLFPib8Ls+P87iSFpRxaFCBWal7eLVEfwWEVyqqVq1Km8a2p/DS4QazmdKH/uFf7KVDV6wnPjerFk4/vNBWkQ98HME2mPEbZVp4Y+I3lD8nPlwsgm37zlZZb6plQvxpxbP3EuVf+mY/bThsfSWheY0yNO/JxgbHPv/rvKygol3NsjS8fYzu/vu/mQ4qTW0tG6H3fVzHXE5QMebhWqI8oRLJUTxWTlDB5W957z/Ih5k05+LiHNu2bRPlxLloBpeUffHFF8UqhRRUtGrVyslnBSXFHxz3X0qVNc5TNK5WhmLP35I1zpHkNhxsFVOWHmtapdjxzNx8upqSdSevwyifg+9fu50jPh+cTkoXN1MCfL1FoMFBRq3ypUx+gHXXKoKu4JoCpfFVCSrUnpXi8oQ+Pj6UlJRkcJzvR0ZGmvwePm5pvPSVj0VF3dtvxvcbNzb8wKuPq1yZqnRVJSKYwsJMz1yUCpC3rzHQz1dsv1AC/8f9TKtq9NkO86Xx+HFTbwKBPvLOwXgcv4nJYWqc7Z1d5b5ehuNWxMrbZsbjnu9Q0+xexhnrjxv03eASgjP6mE6OUmq2RwtVHrQGM2nOlZycrHsP5fLiISEhVKbMvQ9Z/Ofbt5Vr5gmO8d+mVeknkWtkfZyj+fl4yepmzeMcqU1MOVr4x3lZ4xwp0qi6YknHBfv7iskpcxNU2XkFIugw1RyQ7/N1jXcsnL+eIW7m8GeW2hVK0baT10Rwol/Jiq+H9vbqANeZTPN1lVkpf39/atasmag8JQUu3MmV748ZM8bk93CuBz/+yiuv6I5xoraUA8LVnviiyGOkIIJXHfbs2UOjRo1S9PzLhvgpOk4O/uB5JzHVPH58Yve6xT6QynhfNzkuR15MYXKcrf9x8JLe/O3WZ/+Nl/444VsOHmcqqOCAgisKGeM3Yj6+yERylBI9I7RS5UFrPLEfh9qMV1PdaTudp2gpc0uE3HH2qFYmiM7JSJLmcZ5QZleaKLG0vYUft7XseaCfj9gSzDdTuCQuT4BdMWoOyIEHBxk3M3JEDiB/1jC3xUrq1aFfLle/Z0dUeJBD+jN5ihYKTVQ6PajQwqwUbzkaMmQINW/eXPSm4MpNnBQoVYMaPHgwVa5cWeQ8sLFjx1KHDh1EcyZeVeFEwn/++ceg8ysHHG+++aZINJRKylaqVEnxFZfKMpeO5Y5TYq8dWdhrFxIo75+G8bjocsG00/rnezGuGNsWHMTSb4i/j8UO4CEBPmKcUvhNdPLaIxbHTFl7xGRylD09I7RU5UGLPKkfhxYMHTpUt2rLje9eeOEFcW1g+sUsQLv2ychDknmB+dIAAJHeSURBVMa1re3YmflGVcJkBRU8zpF+PBgve5wjy+zqT5SY+8DoyIkS/rBfrWywuJmSX1BISbdz6EqyYS4HByH8lY/xypPUq4NMbJrgeYiKoXeCDlN9OiqVDhLBD7jGZJqvK81KcQnb69ev07Rp00QiNa8ubNq0SZdozb0ypJUT1qZNG9GbgkvGvv766yJw4MpPUo8KaVsXBybPPfecaH7Xrl078ZxK9qhgcsu6KVX+zd69dhVKBdAxsh4k8jh9k7rXpa92X7L6fTzOGNf0lsPUOD+e6bAQVPiZWH7tWi+S/rlovRoUjzPGuR9yytHyuLa1yinSUVtrVR60il9bfg2wPcyxeIJHH/csMsYTPaBtsedvyB7n6KDiXxl5hyUZZ6t0meWW5Y6z9/3suYeiRYdv/YURfosf2T5a1YkS3tbEH/75Zm4l53p6jljZuLPCob/V6s4x3l7Fq/t8+8dMr47yoQHFmgPqr3bwNi9P1l1Dk2m+rjYrxVudzG13+uOPP4ode+KJJ8TNHA6MZs2aJW6OdCLhtqLjHL3XztbciP0X5c168bgO91dQ5Hz5w6O1D/j8uPGKzNC20TTn15MmP6RLvO6OM7brrLwLMY8zFVTY0lFba1UetIyDKk9/DRxt+fLlap8CKEDuDh4nNNQmP5mTIXLH2Upu3x9n9Afia8XiHXHFrlP8s/l4k2plNLsCy7kWFcMCxa1ZdTJZNpcrVOnncxgnk/MOhOu3c8Tt4OUUs3mWUtBhXMmKb2GByk3WalV3jUymyQ4qMCtln/TsHEXHOXqvndxGdMbjFu84J+v7eJxxUGHr/tHE1CxZP9N4HK8KdKlXgbYcv2b2e/hxU6sH/IYnh6lxtm5h0lqVBwBwfWWC/RUdZw+uenf6WoascZ4QVLj76jRP6pYrFSBujc306uAJQSnIMLXakZadL5oI8o1L2pvCzWtNlcuVghDeIeIO+WA+GphMkx1UYFbKPreyChQdV5K9dqaSiaU3JXN77bJl9KgwNe6qzE7cpsbxefRpFGWxWhU/bny+tm6b4jfso/GWl9H5cR5n/DP5zU4O43H2XCS0VuUBAFxfWZlV9+SOs8eJhFRFx9kqSebEjNxxtvL01Wn+oM9l6/lWv3K4yTFp2Xn3yuUarHTcCUR4GzIHHscT0sTNFM7JNBd08DH+t+8OQYczePZGNCcK8vNWdJyj8R7FtGzrAY7xXsbIsACKk5Fox+OUqlbFnZTlMB5nTyK73DcY43H2XCS0VuUBAFwfbz9Rcpw9UrPyFR1nqyyZZQzljrMVVqet461NYVF+VDfKdPJ+Rk7+nURxaXuVQfncLDHZyFusTiXdFjdTAv3u5I6YCzzKlwpQrBWAq0NQ4SRBMhOJ5I6TQ5oVN8fSrHj1iCBKTLO+AsDj9NUoW0pW0yAeZ8zWD/lH4q0nW5saZ88btq1BhT0/U2tVHgDA9d3KzFF0nD2CZFb5kTvOVqlZeYqOsxVvC1JynCcKCfCl+yqGipu5Xh33gg5e5TAsn8urUdl5hXTueoa4meLv402VSnMFq3tVq3RVrO726vCU6zKCCiepYaqEqh3j5LBnVlxuNQXjcT4ymxKZGmfrB+6sPHlbxozH2bOdiN8o5DAeZ+8WJqnKQ7GGezKrPKBpHgDo8/byVnScPRpVDaczFpqs6Y9zJF8fDlryZY5znEKZDaPkjoPiuFxtzfKlxM1cr46EVMPmgPqrHXwdzi0opAs3M8XNFF/u1REulc01DDyqlgkWj5mqUOmKEFQ4yY3buYqOk8OeWfHrMpe6jcdVk9lnw9S4ciEyZ2WMxtk6u2UqMcwUU+NaRZelBdutJ6XzOKW3MP176RYl6QUUjJ+Pj1vrcYGmeeBIV65cEX1+9Et7g7bZ2jzUEQ5dSVV0nK3KlfIT/RfkjHOkPRduyh7X/v7yDj0XT8WFWqqXDRE3c706OLDQX92Il1Y7UrJEx3Lu1SElmRMVr5DJixi8mmHco0O6z6sgAb6u0asDQYWT8AdJJcc5euk0XGYJNuNxBUXyErxNjrOx+V2DyqXp73PWS9nyOH1f774o68fxuJEPxRgc85a5/cl4nL1bmOZsPG4ykZ2fRzo+pWe9Yo+jaR44Q7169ejgwYMUE2P434sjcEPWl156iTZs2CCCmMcff5w+/vhj0ZzV3Pjp06fT5s2bRU+j8uXLiyans2fPpvDwcItbG7/99lvq378/uSNuClo62M9iWe4ywX6KNg81J1NmjoLccbaKKVeKjiWkyxrnSPky6/jKHQeO6dVxJ7fC9IQq7w7gcriiRK5eAvm9RoFZYjWEi9fwbd8F09vHK4QG3A007iaQG5TQDaYgfx/XDyowKyVfhMxZeLnj5ODGM7aOa1Mrgv4+Z32WhMfpO3BR3gySqXFJMitHGY/jyhByGI/bGydvFojHGQcVNzJkVpwyMc7WRjX8xsMNkCzhxyd0rWNQBtfdyxKCdsitiqaEgQMHUkJCAm3ZsoXy8vJo2LBhookpNzw15erVq+L2/vvvi+Dn4sWLotcSH1u9enWxaofdu3fX3S9d2rElTNXE/82/06+B2SqBbE6/Bk55b8gvUnacraJkbm+VO85WZ6/dVnQcOJ/P3a1PfGtu5vMXf064t8pxr0eHdD8zt4Cu3c4RtwOXTOeQcoUqUx3JpfulApyzhuDrKrNSrq5caICi4+TYE5cse1z7+wyXTtOz5a04GI/LypNZNcPEuH8vW0/wlsb1a1bF7qQ6/g9VDlPjlMiNKGmjGu6+bS1O5Md53PD29/6b9PSyhOB+Tpw4QZs2baJ9+/ZR8+Z3LtWffvop9ezZUwQNvAXLWP369WnNmjW6+zVr1qS33npLdALPz88nX19fgyAiMjKSPAW/Hy0ykasV5eSOvPUiS1GSjAIhPM6Rzl9PV3ScrThBWMlxoD3e3l7i+s83bmRoaqKGy+Kaag4orXbczskX1dn4Zm5rIPfiMG4MKN3nvA6lmq74usqslKvj/XJKjpOnyOZxnJgkh/G4BpXCaedZ6ysAPM76WZhmPE7uBJrxuAZVwmWtxvA4Y0rkRpS0Uc3F5EybxqEsITjKihUrDO7zh/O1a9dShQr3GlsOHjxY8Z8bGxsrPvhLAQXr0qWL2Aa1Z88eeuyxx2Q9T2pqKoWFhRkEFGz06NE0YsQIMWHGqxm8CuLudeq10JG3UmneQnJT5jjHsWfCSUnVywbLup7yOHBPXl5eomM430x9FpEmTI1XN/S3W/HWRh7Dt2NXTffqCCZlqrshp8JJbO0WbY/WMeVovoxkYh5nTO4WTeNxbWqWo4U7zlv9Ph5nrHqE6UQoa+Ns/T3b1ixHi/60fq48TgvlXavKXGo3HoemeeAoxk1ReRsSbyUKCgrSXRAdEVQkJiYaBC6MA4OIiAjxmBw3btwQ+RS8ZUrfrFmzqFOnThQcHCzyL1588UVKT0+nl19+2eTz5OTkiJskLc1yQ00tU7sjb3iQv6LjbBWkt31UiXG26lovklbuuSxrnDNppYqgVs5DbeFBfhQeFE4PmJisZencq8NEuVzO5+CGgTfScyk9p8D5QYVas1LuQP9DKDnpQ+iD0RHFPvAa87o7zpitHaNtTbZmdczUkbY2rlXNsiKHgHMOzAnw9RbjlEi2tjc3wlZ1IsNsGoemeeAo27dvN7gfGhoqchps3RI7efJkmjt3rtWtT/biD/69evUSW3hnzJhh8NjUqVN1f27SpAllZGTQe++9ZzaomDNnDs2cOdPucwKepJKZB+jgXRIBMisKyh1nqxSZW3vljlOCVqoIauU8XEGpAF+6PzJU3EzJyi2gk5eTqOlHTg4q1JqVchf8D/25h6JFMq3+eyJ/Zh3ZPlrx/xD2X7xldUtR0d1xxrNTN9PlJU0bj9sjM/mZxxnncSRnyStjazyOZyvyCizvKeU60jxOP2izJ9lajS0DyZm5No1D0zxwFRMmTKChQ4daHMMBC+c7XLt2rdgkF1d4spYLcfv2bZGEzQHQjz/+SH5+livdtWzZUqxo8GpEQEDxnLcpU6bQ+PHjDQKWqlWrWnxO0HZi8uEraYqOs5XWVpm1UkVQK+fhLoL87/TqUIKvmrNSnob/Q1i8I67Yfwi8hYiPc5KOkv8h2LOX3vYEMduXKmztU8GJydYmropMJDAr1a3UWVsG7LnAOHtVBcAWXOaVb9a0bt2aUlJSaP/+/dSsWTNxbNu2bVRYWCiCAHP4A3+3bt1EcLB+/XoKDLT+3xQXIylTpozJgILxcXOPQclkW1httmWcrXxlNnGVO85WzaqXEbmAlrYj8+M8ztG0UkVQK+cBpiGnwkks/YcgUfo/BHs+hNq6/GtPIyVbl77jblrvwGpynO157C6Zl6OFRExwb6+//rrIa3C0unXritWGkSNH0qJFi8Sq+ZgxY0QvCanyU3x8PHXu3Fls223RooUIKLp27UqZmZn09ddfi/tS/gMHMj4+PqLnRVJSErVq1UoEHFyu9u2336ZXX33V4b8TEEWXC5GVmMzjHKlNzQiz3ZGNxzkS7yKQU/HP1G4DpWmliqBWzgNMQ9tTJynJfwhKfwg195HRywHJ4VIjJUvMNVLaJaMSk6lxtq6NKLH9yZn4w3+fRpZXFPhxS0GCtKryaOPK4isCClASbwVyVk+HlStXUp06dUTgwKVk27VrR4sXL9Y9zoHGqVOnRBDBDhw4ICpDHTlyhGrVqkVRUVG62+XLd5JheSvUggULxEpI48aN6bPPPqN58+aJpnngeJO611V0nK1e7/mAouNslSizCqPccfbQShVBrZwHOGClwlmzUu5Ajf8Q7NlLnyOz34TxOHsaKR2+Yrqpi7Vx5ioeGDMeFyGzgojccc5Y7Vp/KMHiGH58Yve6CBbA7fG1x1yjO1ajRg2DQhIdO3a0WoCCVz/0m955GrWr6RyJT5U9zpGz0IdkXot4XNtaxasDKiU5I1fRce6Q36GV8wAHrFQ4c1bK1Sm1f7+kpL30vHdeH9+3lMwU6C8v3jQ1TmqkZNxzg1dFFln4mdl58kqaGY/beiJJ1vcZjzueKC/JTu44tVe7yAGrXQDgOTl/7eZuowFLdtPYVQfFV77Px51FK7PQsTJXzeWOs1WEzM8DcscpsfPBEqV3PmhlBwbIh5wKZ1Fx/74te+m55bsc5sbxz+xUp6JIjuZmbNUjgumZ1jVE6VdzuLvjfjMt6I3H6cuSGYwYj+N9qHLIHecpF1wAcC9aqaajlVnowqJCRce5VtNcy9tvP9sRZ/P2W6XOw9k9okA+5FQ4idr790u6l95LZqaCuXF8kerw3naa/csJWhF7UXzl+5Zmvf7bTF4ZRuNxcpP2jMeF+MtLRpc7zlMuuADgPqxV02H8OI9zNJ7skpOT5+hZ6DLBAYqOc/XVgZJsv3XGvxNbd2CA4yGocBJX+0AoN8g3NU6a9TLeqiPNepkLLNrUKkfBVj7A8wd8Hqfv9Z71ZJ2r8bh+TavI+j654zzlggsA7kONIiL2cEYxvrAgX0XH2Tsrz5dZ40utdMxZs/Ja237LgcPOSZ3o25Gt6OP+jcVXvo+AQl3Y/uQkrtbVuHJEsE3j7KkhzffnPdnIYpL3B082KvZ9vKVKTkdt461XHJzw8Rwr32ccxGhZkRsncYJ2cI8Hufr06ePQcwH32VbJ7y8pmZa7Q/Pjji4X+vvxJNnjnnqwGjmSVnoMaenfibN7RIF8CCqcxNX2AbaKLksLtp+TNU7JGtJSkvf0n45R0u17W8EiwwJoRp8HTL6B8nNZCigYBw6mfiZ3krQUVPDjWqHEBZdfp5LkuUh4dcn4osZBMhrneaa+ffvKGufl5UUFBfJynkAdWlpF18oH1yyZzV/ljrOXFnoMaenfCbh4UIFZKdefcSjpLLO3l7w3K+NxSlwUSvoGauvP1MqsmFz2vrZzNh6nJX/FGTRTemvjCRrZPpqmWNhCppUkTtAO7lwN7kFLq+ha+eAaXS6Ydp6VN85TaOnfCbh4UIFZKdeecbBlltnWxHKlLgolWda09WdqZVbMGWWJOaAwVbWDAwzpuKnAwp7tbACgfVpaRW9WvYzI07OU68uP8zhH4vy7r3ZfkjXOGbSwUqylfyfg4kEFZqVcdx+grbPMtn5QV2M2w9afqZVZMUeXJeYtT7xCYQk/PqFrnWJboezdzgaeISMjg/7880+6dOkS5eYaNuJ6+eWXVTsvcK19+1y+21rxIH6cxzny/Ya3vT5SrwJtOX7N7Bh+3BnbY7W0Usw/57mHosX1Qr+PJG9Y4BVvrFgDcircmD2zzLZ+UJdmM8wlWxc5YDbD1hkUrcyKyWXr6hHnUMi5UPO44e1jXHo1B5zv33//pZ49e1JmZqYILrjT9Y0bNyg4OJgqVKiAoMJF2NJbSGlaer9ZMvhBGrlin8nAggMKftzRtLZSzAHO4h1xxc6Hrx98vEm1MggsPJxNQQVmpVyDPbPMrrbUactMm1ZmxeSydWWFPyDIYWqcy63mgNONGzeOevfuTYsWLaLw8HDavXs3+fn50aBBg2js2LH4G3ERprbYLN0Z59SVCq293zzetAodvpxqUDSkYmiAOO4MWlopthTgSLAVFkocVGBWynXYO+sjfVCfsf4YJabpvalaqMQkvfGY48iZFWcleKvF1tUjnnGUw9Q4JOeBNQcPHqTPPvuMvL29ycfHh3JycigmJobeffddGjJkCPXr1w8vosZpZYuNlt5vzL0m127nOO010dI1SksBDmiXt62zUrdu3aKgoCAxK3Xx4kVq1qwZvf/++445S1B51sdU2x1tNlIqSedwrc2KWSOtHln6GzG1esRbGKzFb/w4j1PqZ4Ln4FUJDigYb3fivArGqxaXL19W+ezAlTpqS+835n6SI7bPavk10dI1SksBDrhRUMGzUhMmTDCYlapataqYlXr99dcdc5ZElJycTAMHDqSwsDAqXbo0DR8+nNLT0y2Of+mll+j+++8XwU+1atXE3t7U1NRiddSNb6tWrSJ3IM36mHv75eNRFmZ9pJmaxDTDN4mkNPOdsV3pjcfe10cN0uoRz9bp4/vmZs54TzQn0VnCj5vbO23LzwTP0aRJE9q3b5/4c4cOHWjatGm0cuVKeuWVV6h+/fpqnx5YofZEkBZp5TXR0jVKSwEOuNH2J1OzUnXr1nX4rBQHFAkJCbRlyxbKy8ujYcOG0XPPPUfffPONyfFXr14VN149qVevnlhNeeGFF8Sx1atXG4xdvnw5de/eXXefgxZyg87E9uRF2Jog5kpvPK6WN2JPWWKpXKxxnwr+Fmt9Kmz9meAZ3n77bbp9+7b481tvvUWDBw+mUaNGUe3atWnZsmVqnx5YoaWJIDW3z2rxNdHSNUpLW9PAjYIKaVaKLxjSrBRX+vjqq68cNit14sQJ2rRpk/i5zZs3F8c+/fRTUXGEg4ZKlSoV+x4+lzVr1uju16xZU1zwOHkwPz+ffH19DYKIyMhIcsd607aWCrR1/6SrvfHYkjfiqmWJOXDgsrG2VnextRSys4JoUIf0nixNNPF7NbgOLU0EaWXfvpZeE62UcdVSgANuFFSoMSsVGxsrPvjrX7y6dOkiVkz27NlDjz32mKzn4a1PvH1KP6Bgo0ePphEjRojkQl7N4FUQ3gblLslwtswy2zpTo0ZJWWXIzxtxZRxAGJeNdfemTQBgnpYmgrSyQsC/a+lgP0rJzDM7hh93VsK4Vsq4aqWfCbhRUKHGrFRiYqL4Wfo4MOB66PyYHLyaMnv2bLFlSt+sWbOoU6dOoqb65s2b6cUXXxS5GpYaNnEeCd8kaWlpmq83XdJZZi3N1DiSuUBPyhtBzoB7NG0Cx4mOjrY4CXP+/Hm8/BqmpRloV7ruOGPayVoZ1yIVyrhiKyxotvnd5MmTae7cuVa3PtmLP/T36tVL5FbMmDHD4LGpU6cabO3iHhzvvfeexaBizpw5NHPmTJdc1nX07JVW9sTKoXag587bgtR+bcF5OCFbH+e8celxnnB67bXX8FfhArQyA62VVRN+X7a0SsFuZeY5/Hpt7XMDqfS5wdatsOD+fNWcleIqUkOHDrU4hrckcb7DtWuGXS05L4IrPFnLheCtWpyEHRoaSj/++KNINLekZcuWYkWDVyICAgJMjpkyZQqNHz/eIGjhCliusKzr6NkrVwqe1DxXd98W5Er/DsA+5hrcLViwgP755x+8vC5CCzPQWlk10cr1OjE1S9FxAJoLKpSclSpfvry4WdO6dWtKSUmh/fv3i34YbNu2bVRYWCiCAHP4w363bt1EcLB+/XoKDAyUVTK3TJkyZgMKxo9ZetzVl3Xtmb1S+824JLP/ap2rJ2wLUvvfAaivR48eYgKGq+uBa9DCDLQWVk20cr1OzshVdByA5oIKNWaluGQtrzaMHDmSFi1aJAKZMWPGUP/+/XWVn+Lj46lz5860YsUKatGihQgounbtSpmZmfT111+L+1LuAwcy3GNjw4YNlJSURK1atRIBB5er5UT0V1991W2XdR09e6Xmm3FJZ//VOFdP2RaklYsyqIdLd3PeG4CrrZpo5XodUSpA0XEALpNT4ehZKW6mxIEEBw5c9enxxx+nTz75RPc4BxqnTp0SQQQ7cOCAqAzFatWqZfBccXFxVKNGDbEVioMh7hJeVFQkxs2bN08EL+66rOvo2Su13oxtmf1X41w9ZVuQVi7K4Hici6a/JZbfS7mAxvXr1+n//u//8FcALrdqopXrdWRYoKLjAFwmqHD0rBQ/t7lGd4yDBL6YSTp27Ghw3xRe/dBveucJy7qOpkZJWVtn/9W4cHjKtiCtXJTB8fr27Wtwnyd9eDWY34Pr1KmDvwJwSVq4XkuTM5YmopzVURvAYc3vMCvlusu67sie2X9nXzg8aVuQFi7K4HjTp0/HywxuSe3rtf7kDMPkDLhdUIFZKfdIhnNU8rMaJWXtnf135oXD07YFqX1RBseQ05tHwg1HAVyV2tdrTM6AWwcVmJXyLCVNflYjZ0CJ2X9nXTg8cVuQ2hdlUF7p0qUtlhbXV1BQgL8CADtgcgbcKqjArJRnsiX5WY2cAVeb/cfME7i67du36/584cIF0ciUew5x+W8WGxtLX375pWgUCgD2w+QMuE1QgVkpz2Nr8rMaOQOuOPuPmSdwZR06dND9edasWaJq3oABA3TH+vTpQw0aNKDFixfTkCFDVDpLAABwJm+5s1LcbI5vy5YtowoVKtDEiRNFh2q+8Z8rVqwoHgP3UJJtTKZWDcx9fPdyULUKafafVyT08X2tNpOTZp4ebVxZfNVS0AMgF69KNG/evNhxPrZ3716HvZDJyck0cOBAkbPBE1/Dhw+n9PR0i9/DFal425b+7YUXXjAYc+nSJerVqxcFBweLax03dc3Pz3fY7wEA4FErFZiV8jy2bmNSc9UAs/8Azle1alVasmQJvfvuuwbHly5dKh5zFA4oEhISRNNS7lM0bNgweu655yyWHmfch4hXVyQcPOjnf3BAERkZSbt27RLPP3jwYNHTiBujAgCAgonaPCvFXa1NzUqNGDGipE8HGmXPNiY1cwaw7xTAuT788EPRjPTXX3+lli1bimO8QnHmzBlas2aNQ37miRMnaNOmTbRv3z7dKsmnn35KPXv2pPfff58qVapk9ns5iOCgwZTNmzfT8ePH6ffffxer740bN6bZs2fTpEmTaMaMGeTv7++Q3wcAwGO2P5malTLm6FkpcC57tzFx4LBzUif6dmQr+rh/Y/GV72txGxIA2I4/yJ8+fZp69+4ttiTxjf/Mx/gxR+DJLd7ypL/tqkuXLqLx3p49eyx+78qVK6lcuXJUv359mjJlCmVmZho8L+eCcEAh6datmyhWcuzYMYf8LgBy8xxjz92knw7Gi698H8DlVyrUmJUC51NiGxNWDQA8A08oOXN7UGJiosh30Ofr60sRERHiMXOefvppql69uljJOHz4sFiBOHXqFK1du1b3vPoBBZPum3venJwccbOlWiKAI0q7A7hMUCHNSi1cuJBOnjwpjvGsFCe7YaXCvaD0KdjaBBHcG38g55l+XhngP1vSsGFD2c/LpWnnzp1rdeuTrTjnQsIrElFRUdS5c2c6d+4c1axZ06bn5LK5M2fOtPmcAJQu7Q7gMkGFGrNSoB4kPwPDTBno41wDabWA/8xVlIqKim/H4OMlaX43YcIE0e/CkpiYGJETce3aNYPjXKGJt16Zy5cwRVptP3v2rAgq+HuNK1YlJSWJr+ael7dQjR8/3mClAhNs9sMkhu2l3QE0HVQ4alYKXAO2MXk2zJSBsbi4OCpfvrzuz0rh55Se1xJuspeSkkL79++nZs2aiWNc8rywsFAXKMhx8OBB8ZVXLKTnfeutt0TAIm2v4upSXLa2Xr16Jp8jICBA3EA5mMQoeWl3LksO4BJBhaNmpQBA2zBTBqZwXoKpPztL3bp1qXv37qI8LFcj5JKyY8aMof79++sqP8XHx4utTStWrKAWLVqILU5cbpa38JYtW1ZMkI0bN44eeugh3WRY165dRfDwzDPPiBK5fN373//+R6NHj0bg4CSYxLC/tDuApqs/Gc9KnT9/Xnw1vvFxAHAftjZB1IeqJe7tyy+/pF9++UV3n5uhcmWmNm3a0MWLFx32c7mKU506dUTgwIFCu3btRAdvCQcanIQtVXficrBcKpYDB/4+3mrFRUc2bNig+x4fHx/6+eefxVdetRg0aJDoU6Hf1wLUm8Rg/LinVD4qFxKg6DgATaxUqD0rBQCuOVOGbQzuj/PruHCHVJJ1/vz59NFHH4kP57wSIFVWUhpXerLU6K5GjRoGK+qc5/Dnn39afV6+xm3cuFGx8wT5sN3HiNw0CaRTgKv2qVBrVgoAXKsJorSNwXilQ6pawo+D67t8+TLVqlVL/HndunX03//+V1RZ4qpIf/31l9qnBy4E230M3Ui/V6pYiXEAmgsqeFYqKCjIYFaK955yMyGelQIA92FrE0RsY/AcpUqVops3b+o6Uj/yyCPiz4GBgZSVlaXy2YGnTGK4I7we4PZBBWalADyvCSIzDiwsNUFUIhcDXAMHESNGjBA3/S7a3IGatyABOHoSw13h9QC3DyowKwXgmU0QI8MNZwf5vrnGS9jG4DkWLFggkpqvX79Oa9asEZWVGJd7HTBggNqnBx4wieGu8HqA2ze/k2almjRpglkpAA9R0iaIWLb3HJxTx9tgjaHLNNgzicFVnvRXO3kSgwMKT+sejdcD3Dqo4FkprtvN26AwKwXgOUrSBFFatuekbFPFH73ufkiwto0BXXVdAydkf/bZZ6Ks+A8//ECVK1emr776iqKjo0WpVwBHTmK4O7we4LZBBWalAEDusj1XeeKPAUU2bGNAOVrXwJNL3Cxu4MCBdODAAcrJuVOJJjU1VRT2QHlWcPQkhifA6wFumVMhzUpxUyAuI8tdSxnPSu3cuVPp8wNwW+7eFM6WXAwJytG6jjfffFN0tV6yZAn5+fnpjrdt21YEGQDgXtz92gVOXKnArBSA/TxlFt6WZXtr5Wj5O/lxfl5P3Q6hJdy1+qGHHip2PDw8nFJSUlQ5JwBwDE+5doGTViowKwVgH0+bhZeW7R9tXFl8tRYIoByta4mMjKSzZ88WO84r1zExMaqcEwAoz9OuXeCEoAKzUgC2Q1M461CO1rWMHDmSxo4dS3v27CEvLy+6evUqrVy5kl599VUaNWqU2qcHAArAtQscsv1JmpUybmqEWSkA60oyC++pSYooR+taJk+eTIWFhdS5c2fKzMwUW6ECAgJEUPHSSy+pfXoAoABcu8AhKxWYlQKwHWbhrUMXWdfCqxNvvPEGJScn09GjR2n37t2iEd7s2bMpKytL7dMDAAXg2gUOWanArBSA7TAL75xytOB8/v7+VK/enW7IXFZ23rx59O6771JiYiL+OgBcHK5d4JCVCrVmpfjncR30sLAw0Stj+PDhlJ6ebvF7OnbsKM5X//bCCy8YjLl06RL16tWLgoODqUKFCvTaa69Rfn6+w34P8GyYhXd8OVpwDg4cpkyZQs2bNxflxdetWyeOL1++XDS9+/DDD2ncuHH46wBwA7h2gUNWKtSaleKAIiEhgbZs2UJ5eXk0bNgweu655+ibb76xul1r1qxZuvscPEgKCgpEQMF5Irt27RLPP3jwYFFrnZs2ASgNs/DyoYustk2bNk100e7SpYt4/3ziiSfE+zJPNPH1gO/7+PiofZoAoABcu0DRlQo1Z6VOnDhBmzZtoqVLl1LLli2pXbt29Omnn9KqVatEpRFLOIjgoEG68UqHZPPmzXT8+HH6+uuvqXHjxtSjRw+x4rJgwQLKzc11yO8CgFl4x5WjBef54YcfaMWKFbR69WrxXsqTNLzKe+jQIerfvz8CCgA3g2sXWONVVFQkqxXipEmTDGaleMuTNCv1+uuvO3RWatmyZTRhwgS6deuW7hhfvAIDA8WF7bHHHjO7/enYsWPEvyIHFL1796apU6fqVit4pm39+vV08OBB3ffExcWJ2urcCbZJkyayzi8tLU00ekpNTTUIWgCslegrSVM4ACXZ+77Fq9X8flm5cmVxPygoiPbu3UsNGjTw6L8oXA/A3eHa5X7SFPoc61vSWak+ffqIXIqGDRvqZqU4V8GReEsV5zvo8/X1pYiICIvbrZ5++mmqXr06VapUiQ4fPiwCI+6zsXbtWt3zVqxY0eB7pPuWnpdXbfim/5cBYOssPIAr4pUJDiz035NLlSql6jkBgOPh2gV2BxVXrlyhZs2aiT/Xr19f1CHn7U72BBRcSWru3LlWtz7ZinMuJDx7FhUVJWqpnzt3jmrWrGnz886ZM4dmzpxp8/cDALg6XgEeOnSouBaw7OxsUQgjJCTEYJw0iQMAAO7NV81ZKd7SxBclS3grEm9dunbtmsFxXiXhilD8mFycj8G4eR8HFfy9vFyvLykpSXy19LycWzJ+/HiDlYqqVavKPg8AAFc3ZMgQg/uDBg1S7VwAAMCFggpHzEqVL19e3Kxp3bo1paSk0P79+3WrJdu2bRNdXKVAQQ4pd4JXLKTnfeutt0TAIm2v4upSvJ9MqmxlCr8G0usAAOCJuEgHAABAiYMKNWel6tatS927dxflYRctWiRKyo4ZM0ZUGOF8CRYfHy+2NnHeR4sWLcQWJy4327NnTypbtqzIqeDtWg899JDIB2Fdu3YVwcMzzzyjK4f7v//9j0aPHo2gAQAAAABA6aBC7VmplStXikCCAwdvb296/PHH6ZNPPtE9zoEGJ2FnZmaK+7xV6/fff6ePPvqIMjIyxPYk/h4OGiRcrernn3+mUaNGiVULXnXh4Em/rwUAAAAAAChUUhbMQwlBAHA1eN/C6woAoOT1QHbzOwAAAAAAAFMQVAAAAAAAgF0QVAAAAAAAgF0QVAAAAAAAgF0QVAAAgMvh5qcDBw4USYWlS5em4cOHU3p6utnxFy5cIC8vL5O3H374QTfO1OOrVq1y0m8FAOABJWUBAAC0ggOKhIQE0bCUS4oPGzaMnnvuOdGfyBQuK87j9S1evJjee+896tGjR7ES6twbScJBCzhXQWER7Y1Lpmu3s6lCaCC1iI4gH28v/DUAaBiCCgAAcCknTpygTZs20b59+6h58+bi2Keffiqanb7//vu6pqj6uC9RZGSkwbEff/yRnnzySSpVqpTBcQ4ijMeC82w6mkAzNxynhNRs3bGo8ECa3rseda8fhb8KAI3C9icAAHApsbGx4oO/FFCwLl26iMaoe/bskfUc+/fvp4MHD4ptU8ZGjx5N5cqVoxYtWtCyZcsI7ZycG1CM+vqAQUDBElOzxXF+HAC0CSsVAADgUhITE6lChQoGx3x9fSkiIkI8Jsfnn39OdevWpTZt2hgcnzVrFnXq1ImCg4Np8+bN9OKLL4pcjZdfftnk8+Tk5IibfhMpsH3LE69QmOrIy8d48xM//ki9SGyFAtAgrFQAAIAmTJ482WwytXQ7efKk3T8nKytL5F6YWqWYOnUqtW3blpo0aUKTJk2iiRMnirwLc+bMmSM60Uo3zt0A23AOhfEKhXFgwY/zOADQHqxUAACAJkyYMIGGDh1qcUxMTIzId7h27ZrB8fz8fFERSk4uxOrVqykzM5MGDx5sdWzLli1p9uzZYjUiICCg2ONTpkyh8ePHG6xUILCwDSdlKzkOAJwLQQUAAGhC+fLlxc2a1q1bU0pKisiLaNasmTi2bds2KiwsFEGAnK1Pffr0kfWzOO+iTJkyJgMKxsfNPQYlw1WelBwHAM6FoAIAAFwK50JwydeRI0fSokWLREnZMWPGUP/+/XWVn+Lj46lz5860YsUKkXAtOXv2LO3YsYM2btxY7Hk3bNhASUlJ1KpVKwoMDBTlat9++2169dVXnfr7eSouG8tVnjgp21ReBedURIbfKS8LANqDnAoAAHA5K1eupDp16ojAgUvJtmvXTvSdkHCgcerUKbHNSR9Xc6pSpQp17dq12HP6+fnRggULxEpI48aN6bPPPqN58+bR9OnTnfI7eTruQ8FlY5lxRwrpPj+OfhUA2uRVhFp5duM9tJygl5qaKrq7AgBoHd638LpqFfpUALjm9QDbnwAAAEAzuMEdl41FR20A14KgAgAAADSFtzi1rllW7dMAgBJAUAFwt+kSZsUAAAAAbIOgAjwe9u8CAAAA2AfVn4A8PaAY9fWBYl1cuaQhH+fHAQAAAMAyBBXg0VueZm44brIeunSMH+dxAAAAAGAeggrwWJxDYbxCoY9DCX6cxwEAAACAeQgqwGNdu52t6DgAAAAAT4WgAjxWhdBARccBAAAAeCoEFeCxWkRHUFR4IHmZeZyP8+M8DgAAAADMQ1ABHt1caXrveuLPxoGFdJ8f53EAAAAAYB6CCvBo3etH0cJBTSky3HCLE9/n4/w4AAAAAFiG5nfg8ThweKReJDpqAwAAANgIQQXA3a1QrWuWxWsBAAAAYANsfwIAAAAAALtgpQLATtxxmxvkcT8LLj/L1aKQ3A0AAO4I1zxw+aAiOTmZXnrpJdqwYQN5e3vT448/Th9//DGVKlXK5PgLFy5QdHS0yce+//57euKJJ8SfvbyKV/b59ttvqX///gr/BuCONh1NoJkbjht05uYytFw1CkneAADgTnDNA7fY/jRw4EA6duwYbdmyhX7++WfasWMHPffcc2bHV61alRISEgxuM2fOFEFIjx49DMYuX77cYFzfvn2d8BuBO7y5jvr6gEFAwRJTs8VxfhwAAMAd4JoHbrFSceLECdq0aRPt27ePmjdvLo59+umn1LNnT3r//fepUqVKxb7Hx8eHIiMjDY79+OOP9OSTTxZb3ShdunSxsQDWln95haLIxGN8jNe/+HGuKoWtUAAA4MpwzQO3WamIjY0VH/ylgIJ16dJFbIPas2ePrOfYv38/HTx4kIYPH17ssdGjR1O5cuWoRYsWtGzZMioqMvVR8Z6cnBxKS0szuIFn4RwK4xUKffwviB/ncQAAAK4M1zxwm5WKxMREqlChgsExX19fioiIEI/J8fnnn1PdunWpTZs2BsdnzZpFnTp1ouDgYNq8eTO9+OKLlJ6eTi+//LLZ55ozZ47YSgWei5OylRwHAACgVbjmgeZXKiZPniwSpS3dTp48affPycrKom+++cbkKsXUqVOpbdu21KRJE5o0aRJNnDiR3nvvPYvPN2XKFEpNTdXdLl++bPc5gmvhKk9KjgMAANAqXPNA8ysVEyZMoKFDh1ocExMTI/Idrl27ZnA8Pz9fVISSkwuxevVqyszMpMGDB1sd27JlS5o9e7bY4hQQEGByDB839xh4Bi4by1WeOCnb1GY5zqmIDL9TXhYAAMCV4ZoHmg8qypcvL27WtG7dmlJSUkReRLNmzcSxbdu2UWFhoQgC5Gx96tOnj6yfxXkXZcqUQdAAFnHyNZeN5SpPHEDoBxZSkWJ+HEnaAADg6nDNA7dJ1OZciO7du9PIkSNp79699Pfff9OYMWNELwmp8lN8fDzVqVNHPK7v7NmzovzsiBEjij0v97xYunQpHT16VIxbuHAhvf3226IfBoA13Idi4aCmYkVCH9/n4+hTAQAA7gLXPHCLRG22cuVKEUh07txZ1/zuk08+0T2el5dHp06dEtuc9HE1pypVqlDXrl2LPaefnx8tWLCAxo0bJyo+1apVi+bNmyeCFwC5b7JcNhYdtQEAwN3hmgeWeBVZq58KVnFJ2fDwcJG0HRYWhlcMADQP71t4XQEAlLweuMT2JwAAAAAA0C4EFQAAAAAAYBcEFQAA4HLeeust0cyUG5eWLl1a1vfwbt9p06ZRVFQUBQUFUZcuXejMmTMGY7hU+cCBA8UWAH5e7m/EDVEBAMAyBBUAAOBycnNz6YknnqBRo0bJ/p53331XFPhYtGgR7dmzh0JCQqhbt26UnX2v8z0HFMeOHaMtW7bQzz//LKoHPvfccw76LQAA3AcStRWAhEcAcDXu8r71xRdf0CuvvCJ6GVlbpeAS5Nx09dVXXxXH+HevWLGieA4uUX7ixAmqV68e7du3j5o3by7GbNq0iXr27ElXrlzRlTD3hNcVADxHGhK1AQAA5ImLi6PExESx5UnCH/65gWpsbKy4z195y5MUUDAez2XMeWUDAADcoE8FAACArTigYLwyoY/vS4/x1woVKhg87uvrSxEREboxxnJycsRNf8YPAMATIahQgNTqAxcTAHAV0vuVlloVTZ48mebOnWtxDG9RqlOnDmnFnDlzaObMmcWO43oAAJ52PUBQoYDbt2+Lr1WrVlXi6QAAnPr+xduAtIDzHYYOHWpxTExMjE3PHRkZKb4mJSWJ6k8Svt+4cWPdmGvXrhl8X35+vqgIJX2/sSlTptD48eN19+Pj40VeBq4HAOBp1wMEFQrg5L3Lly9TaGgoeXl5yY4K+aLD3+fOyXz4Pd2LJ/x9esLvKM1I8QVETvKxs5QvX17cHCE6OloEBlu3btUFEfx3zbkSUgWp1q1bi4Tv/fv3U7NmzcSxbdu2UWFhoci9MCUgIEDcJKVKlSrx9UBLPOXff0ngNcFr4u7/RooUuh4gqFAAJ/FVqVLFpu/lf3yu+A+wpPB7uhdP+Pv0hN9RKysUtrh06ZJYQeCvBQUFdPDgQXG8Vq1a4oM9421SvD3pscceEx/wuUrUm2++SbVr1xZBxtSpU8VFtG/fvmJ83bp1qXv37jRy5EhRdjYvL4/GjBkjKkPJvdjacz3QEk/4919SeE3wmrjzv5FwBa4HCCoAAMDlcBO7L7/8Une/SZMm4uv27dupY8eO4s+nTp0SpV0lEydOpIyMDNF3glck2rVrJ0rGBgYG6sasXLlSBBKdO3cWAcLjjz8uelsAAIBl6FOhEk+pZY7f0714wt+nJ/yOAObg3z9eEznw7wSvhynoqK0S3oM7ffp0g7247gi/p3vxhL9PT/gdAczBv3+8JnLg3wleD1OwUgEAAAAAAHbBSgUAAAAAANgFQQUAAAAAANgFQQUAAAAAANgFQYUKduzYQb179xZ1z7l2+rp168jdcG34Bx98UDSAqlChgqgDz+Ud3c3ChQupYcOGutrU3Dzr119/JXf2zjvv6Gr+u5MZM2aI30v/xn0OADyBp7xn28pd3/dKijvGDxo0iMqWLUtBQUHUoEED+ueff8hTcY8c7nfDfW+CgoKoZs2aNHv2bNFMzhMhqFAB10lv1KgRLViwgNzVn3/+SaNHj6bdu3fTli1bRBOprl27it/dnXCTK77YcAdefmPt1KkTPfroo3Ts2DFyR/v27aPPPvtMBFLu6IEHHqCEhATdbefOnWqfEoBTeMp7ti3c/X1Prlu3blHbtm3Jz89PTJ4dP36cPvjgAypTpgx5qrlz54rJxfnz59OJEyfE/XfffZc+/fRT8kRofqeCHj16iJs744ZS+r744gsx+8Ufvh966CFyF7zipO+tt94SbzB8YeYPqO4kPT2dBg4cSEuWLBFdid2Rr68vRUZGqn0aAE7nKe/ZJeUJ73ty8QfmqlWr0vLly3XHeIbek+3atUtMJPbq1Uvcr1GjBn377be0d+9e8kRYqQCnkLraRkREuPUy6KpVq8TMHm+Dcjc8i8lvnF26dCF3debMGbEtMSYmRnyQuHTpktqnBKAKT3jPlsMT3vfkWr9+PTVv3pyeeOIJEXByF3sOtjxZmzZtaOvWrXT69Glx/9ChQ2KF290njs3BSgU4XGFhodiHysum9evXd7tX/MiRIyKIyM7OplKlStGPP/5I9erVI3fCwdKBAwfENgB31bJlSzE7e//994utTzNnzqT27dvT0aNHxT5zAE/h7u/ZcnnC+15JnD9/XqzEjx8/nl5//XXxurz88svk7+9PQ4YMIU80efJk0V2c8+98fHzE5CLvWOBJKU+EoAKcMtPDH8zcdX86fwg9ePCgmNlbvXq1eHPl/cnuElhcvnyZxo4dK/ZZBwYGkrvSn1nivdMcZFSvXp2+//57Gj58uKrnBuBM7v6eLYenvO+VNNjklYq3335b3OeVCv53smjRIo8NKvj6sHLlSvrmm2/Elmf+LMABOa94e+JrgqACHGrMmDH0888/i4pXnNTsjniWplatWuLPzZo1E7M3H3/8sUjscwe8p/ratWvUtGlT3TGejeG/U05Oy8nJETM07qZ06dJ033330dmzZ9U+FQCn8YT3bDk89X3PkqioqGKTZXXr1qU1a9aQp3rttdfEakX//v3Ffa6GdfHiRVFNDUEFgEK4nNpLL70ktgL98ccfHpXMxbM5fMFxF507dxZbvPQNGzZMLPdOmjTJbS+snKB57tw5euaZZ9Q+FQCH8+T3bFM89X3PEt4OZ1xmmHMJeEXXU2VmZpK3t2F6so+Pj/gc4ImwUqHShxX92c+4uDixZMYJcdWqVSN3WT7n5cCffvpJ7EdPTEwUx8PDw0UtZ3cxZcoUsW2G/95u374tfme+IP/222/kLvjvz3hfdUhIiKhT7k77rV999VVRzYsvkFevXqXp06eLi8OAAQPUPjUAh/OU92y5POV9ryTGjRsnEpN5+9OTTz4pKhwtXrxY3DwVXzM4h4I/AzzwwAP077//0rx58+jZZ58lj1QETrd9+3builLsNmTIELf52zD1+/Ft+fLlRe7k2WefLapevXqRv79/Ufny5Ys6d+5ctHnz5iJ316FDh6KxY8cWuZOnnnqqKCoqSvxdVq5cWdw/e/as2qcF4BSe8p5tD3d83yupDRs2FNWvX78oICCgqE6dOkWLFy8u8mRpaWni30S1atWKAgMDi2JiYoreeOONopycnCJP5MX/p3ZgAwAAAAAArgt9KgAAAAAAwC4IKgAAAAAAwC4IKgAAAAAAwC4IKgAAAAAAwC4IKgAAAAAAwC4IKgAAAAAAwC4IKgAAAAAAwC4IKgAAAAAAwC4IKgCcxMvLi9atW4fXGwAAdIYOHUp9+/bFKwIuD0EFgNGbO3/4l25ly5al7t270+HDh2W/TjNmzKDGjRvjdQUAcCNKXB8A3BmCCgAjfJFISEgQt61bt5Kvry/95z//cfrrVFRURPn5+fj7AQDw4OtDbm6uQ58fQCkIKgCMBAQEUGRkpLjxisPkyZPp8uXLdP36dfH4pEmT6L777qPg4GCKiYmhqVOnUl5ennjsiy++oJkzZ9KhQ4d0s1l8THLjxg167LHHxPfWrl2b1q9fr3vsjz/+EON//fVXatasmTiPnTt3Uk5ODr388stUoUIFCgwMpHbt2tG+ffsMzvnPP/+kFi1aiO+JiooS56wfkHTs2JFeeukleuWVV6hMmTJUsWJFWrJkCWVkZNCwYcMoNDSUatWqJX625NatWzRw4EAqX748BQUFifNdvnw5/r0AgMeydn3gPz/55JNUunRpioiIoEcffZQuXLig+/6CggIaP368eJxXOiZOnCgmkPTx+/WYMWPE+3W5cuWoW7dust7nrV0rpGvMb7/9Rk2aNBHv6506daJr166J9/66detSWFgYPf3005SZman7vtWrV1ODBg3EeD7nLl26iGsHgDEEFQAWpKen09dffy0+cPObKeMP4BwoHD9+nD7++GPx4fzDDz8Ujz311FM0YcIEeuCBB3SzWXxMwgEHX3B4ubxnz57iQ3tycrLBz+QLxTvvvEMnTpyghg0biovOmjVr6Msvv6QDBw6Ic+GLjPR98fHx4rkefPBBEcwsXLiQPv/8c3rzzTcNnpe/ny9Qe/fuFQHGqFGj6IknnqA2bdqI5+3atSs988wzuosJB0v8O/LFhs+Fn5e/HwAAil8feHKJ35v5GvHXX3/R33//TaVKlRKrG9JqwwcffCCuH8uWLROTRvw+/uOPPxZ7Ofn92t/fXzzHokWLZL3PW7tW6G/RnT9/Pu3atUsXBH300Uf0zTff0C+//EKbN2+mTz/9VIzla9iAAQPo2WefFdcBDkz69etXLBACEIoAQGfIkCFFPj4+RSEhIeLG/4lERUUV7d+/3+yr9N577xU1a9ZMd3/69OlFjRo1KjaOn+t///uf7n56ero49uuvv4r727dvF/fXrVtnMMbPz69o5cqVumO5ublFlSpVKnr33XfF/ddff73o/vvvLyosLNSNWbBgQVGpUqWKCgoKxP0OHToUtWvXTvd4fn6++P2eeeYZ3bGEhATx82NjY8X93r17Fw0bNgz/OgAAZFwfvvrqq2LvxTk5OUVBQUFFv/32m7jP46X3bpaXl1dUpUqVokcffVR3jN+vmzRpYvCaW3ufl3OtkK4xv//+u27MnDlzxLFz587pjj3//PNF3bp1E3/m340fv3DhAv4NgFVYqQAw8vDDD9PBgwfFjWf1eaanR48edPHiRfH4d999R23bthXL3zwL9b///Y8uXbok63XklQdJSEiIWGrmpWd9zZs31/353LlzYvaLf57Ez89PLIHzrBHjr61btxbL2hIez7NoV65cMfmzfXx8xMwaL2lLeEsUk86HVzJWrVollvh5BoxntQAAPJml6wOvIJw9e1asVPC1gW+8BSo7O1u8l6empoqZ/5YtW+qej3My9N/zJbwFVp+193k51wpT1wJ+35e28uofk64DjRo1os6dO4trBa9s88o8b40FMMXX5FEAD8Yf9nnZWLJ06VIKDw8Xb6a9evUSW5Z4GxNfTPg4f/DmJW05+E1eH18gCgsLi/18RzD1s/WPSRcr6XykC+XGjRtpy5Yt4sIyevRoev/99x1yfgAArnx94A/4HAysXLmy2PdxblpJf46jGL/vW7ou8QQUv//zpJK0LeqNN96gPXv2UHR0tMPOEVwTVioArOA3WG9vb8rKyhJvrNWrVxdvqjy7xMnL0gqGhPfBcjKeEmrWrKnbVyvh2ShOvqtXr564z8l1sbGxBntceTzPllWpUsWun88XwiFDhoh9w7zndvHixXY9HwCAu14fmjZtSmfOnBGJ0hx46N848OAbJ1jzB3IJJ1rv37/f6s+x9j4v51phz+/IKyA8mfbvv/+Kn2MqDwQAQQWAEa6gkZiYKG68bMxJzTwD1bt3bxFE8FYnXp3g5eZPPvmk2JtrjRo1KC4uTiyPc7Unfj5b8WwVb0N67bXXaNOmTSJxeuTIkSKZevjw4WLMiy++KJLt+DxPnjxJP/30E02fPl1UGOGLna2mTZsmnouX848dO0Y///yzuLABAHgqS9cHXsXmYhZc8YkTtfk6wInNXJFJ2oo6duxYUYiDG6Hy+zW/f6ekpFj9udbe5+VcK2zBAdDbb79N//zzj7j2rV27VlS6wrUATMH2JwAj/IbMs0mMZ4Hq1KlDP/zwgyjzx8aNGyfK/fHFhbdDcZUkrqYhefzxx8UbL++95YsFl2Hlpkm24gsQL0VzZabbt2+LFRIuCcilYVnlypXFFiW+mPD+V97DyxcRzvWwB89GTZkyRZRD5FKC7du3F8EUAICnsnZ92LFjhyg7zhWS+P2a35956yjnzzGuDsh5FbwCzMEAV1XiMuOcb2GJnPd5a9cKW/B58+/EK9VpaWlipZ63+/L2WABjXpytXewoAAAAAACATNj+BAAAAAAAdkFQAQAAAAAAdkFQAQAAAAAAdkFQAQAAAAAAdkFQAQAAAAAAdkFQAQAAAAAAdkFQAQAAAAAAdkFQAQAAAAAAdkFQAQAAAAAAdkFQAQAAAAAAdkFQAQAAAAAAdkFQAQAAAAAAdkFQAQAAAAAAdkFQAQAAAAAAdkFQAQAAAAAAdkFQAQAAAAAAdkFQAQAAAAAAdkFQAQAAAAAAdkFQoaAdO3ZQ7969qVKlSuTl5UXr1q0r8XMUFRXR+++/T/fddx8FBARQ5cqV6a233lLyNAEAAAAAFOWr7NN5toyMDGrUqBE9++yz1K9fP5ueY+zYsbR582YRWDRo0ICSk5PFDQAAAABAq7yKeGoclH9hvbzoxx9/pL59++qO5eTk0BtvvEHffvstpaSkUP369Wnu3LnUsWNH8fiJEyeoYcOGdPToUbr//vvxtwIAAAAALgHbn5xozJgxFBsbS6tWraLDhw/TE088Qd27d6czZ86Ixzds2EAxMTH0888/U3R0NNWoUYNGjBiBlQoAAAAA0DQEFU5y6dIlWr58Of3www/Uvn17qlmzJr366qvUrl07cZydP3+eLl68KMasWLGCvvjiC9q/fz/997//ddZpAgAAAACUGHIqnOTIkSNUUFAgErD18ZaosmXLij8XFhaK+xxQSOM+//xzatasGZ06dQpbogAAAABAkxBUOEl6ejr5+PiIlQf+qq9UqVLia1RUFPn6+hoEHnXr1tWtdCDPAgAAAAC0CEGFkzRp0kSsVFy7dk1sfzKlbdu2lJ+fT+fOnRPbo9jp06fF1+rVqzvrVAEAAAAASgTVnxRejTh79qwuiJg3bx49/PDDFBERQdWqVaNBgwbR33//TR988IF4/Pr167R161ZR8alXr15i+9ODDz4oVi4++ugjcX/06NEUFhYmyswCAAAAAGgRggoF/fHHHyKIMDZkyBCRdJ2Xl0dvvvmmyJmIj4+ncuXKUatWrWjmzJmiJwW7evUqvfTSSyKICAkJoR49eogghAMTAAAAAAAtQlABAAAAAAB2QUlZAAAAAACwC4IKAAAAAACwC6o/KYATqjkXIjQ0lLy8vJR4SgAAhyoqKqLbt29TpUqVyNsb80sAAGAfBBUK4ICiatWqSjwVAIBTXb58mapUqYJXHQAA7IKgQgG8QiFdnLn8KwCA1qWlpYnJEOn9CwAAwB4IKhQgbXnigAJBBQC4EmzZBAAAJWAjLQAAAAAA2AVBBQAAAAAA2AVBBQAAAAAA2AVBBQAAAAAA2AVBBQAAAAAA2AVBBQAAAAAA2AUlZQEALCgoLKK9ccl07XY2VQgNpBbREeTjfaeMNAAAANyBoAIAwIxNRxNo5objlJCarTsWFR5I03vXo+71o/C6AQAA3IXtTwAAZgKKUV8fMAgoWGJqtjjOjwMAAMAdCCoAAExseeIViiITr4x0jB/ncQAAAICgAgCgGM6hMF6h0MehBD/O4wAAAABBBQBAMZyUreQ4AAAAd4ftTwAARrjKk5LjAAAA3B2CCgAAI1w2lqs8mSscy8f5cR4HAAAACCoAAIrhPhRcNpYZBxbSfX4c/SoAAADuwEoFAIAJ3Idi4aCmFBluuMWJ7/Nx9KkAAAC4B83vAADM4MDhkXqR6KgNAABgBYIKAAALeItT65pl8RoBAABYgO1PAAAAAABgFwQVAAAAAABgFwQVAAAAAABgFwQVAAAAAABgFwQVAAAAAABgFwQVAAAAAABgF5SUBfAABYVF6LUAAAAADoOgAsDNbTqaQDM3HKeE1GzdsajwQJreux66QgMAAIAisP0JwM0DilFfHzAIKFhiarY4zo8DAAAA2AtBBYAbb3niFYoiE49Jx/hxHgcAAABgDwQVAG5qb1xysRUKfRxK8OM8DgAAAMAeCCoA3NS129mKjgMAAAAwB0EFgJuqEBqo6DgAAAAAcxBUALipFtERosqTl5nH+Tg/zuMAAAAA7IGgAsBN+Xh7ibKxzDiwkO7z4zwOAAAAwB4IKgDcWPf6UbRwUFOKDDfc4sT3+Tg/DgAAAGAvNL8DcHMcODxSLxIdtQEAAMBhEFQAeADe4tS6Zlm1TwMAAADcFIIKAAALuDkg9/Lg0rtcKYsT25GHAgAAYAhBBQCAGZuOJoiu4/pNBLliFie4Ix8FAADgHiRqAwCYCShGfX2gWFfyxNRscZwfBwAAgDsQVAAAmNjyxCsURSZeGekYP87jAAAAAEEFAEAxnENhvEKhj0MJfpzHAQAAgJsFFXPmzKEHH3yQQkNDqUKFCtS3b186deqU1e/74YcfqE6dOhQYGEgNGjSgjRs3OuV8AUCbOClbyXEAAADuzq2Cij///JNGjx5Nu3fvpi1btlBeXh517dqVMjIyzH7Prl27aMCAATR8+HD6999/RSDCt6NHjzr13AFAO7jKk5LjAAAA3J1XUVGR224Kvn79ulix4GDjoYceMjnmqaeeEkHHzz//rDvWqlUraty4MS1atEjWz0lLS6Pw8HBKTU2lsLAwxc4fANTBuRLt5m4TSdmm3iC97nYl3zmpk8uWl8X7FgAAKMmtViqM8Yd8FhERYXZMbGwsdenSxeBYt27dxHEAd/qQHHvuJv10MF58RYKxZRwocNlYZhwySPf5cVcNKAAAAJTmtn0qCgsL6ZVXXqG2bdtS/fr1zY5LTEykihUrGhzj+3zcnJycHHHTn/ED0Cr0WrAN96FYOKhpsT4VvEKBPhUAAAAeElRwbgXnRezcudMhCeEzZ85U/HkBHNVrwXgLj9RrgT80o4mbefzaPFIvEh21AQAAPHH705gxY0SOxPbt26lKlSoWx0ZGRlJSUpLBMb7Px82ZMmWK2Fol3S5fvqzYuQMoBb0WlMFbnFrXLEuPNq4svmLLEwAAgJsHFZxzzgHFjz/+SNu2baPo6Gir39O6dWvaunWrwTGuHMXHzQkICBAJ2fo3AK1BrwUAAABwFl932/L0zTff0E8//SR6VUh5EVyZKSgoSPx58ODBVLlyZbGFiY0dO5Y6dOhAH3zwAfXq1YtWrVpF//zzDy1evFjV3wXAXui1AAAAAB67UvHHH39QVlaWTd+7cOFCsR2pY8eOFBUVpbt99913ujGXLl2ihIQE3f02bdqIQISDiEaNGtHq1atp3bp1FpO7AVwBei0AAACAx/ap8Pf3p0OHDlHdunXJVaDeO2iRJ/RaANvhfQsAANxi+1PTpk1NHs/Pz6fHH3+cAgPvdKo9cOCAk88MwL16LXCVJw4Z9AML9FoAAAAAtwgqjhw5IprOcfdqCS+a8CrFww8/LDphA4B90GsBAAAA3Hr7099//01DhgyhgQMH0vTp08nb+056h5+fnwgs6tW7083WFWAbAbjCViiuBsXJ25xr0SI6AluePBzetwAAwC0StbnT9f79++n06dMiWfrcuXNqnQqA20OvBQAAAHDb6k9c6vXbb7+l559/ntq1aycqMHl5IWEUAAAAAMCVaKJPxbBhw0RQwVuhOFEbAAAAAABch2b6VNSuXZt2795Nt27dMllOllc0MjIyVDk3AAAAAABwgaCCcbI2b4kytQWKt0glJSWpcl4AAAAAAOAiQYUlGuvRBwAAAAAArhZUAAAAAACANiGoAAAAAAAAuyCoAAAAAAAAuyCoAAAAAAAAzwgqqlevTn5+fmqfBgAAAAAAaLH5nRxHjx5V+xQAAAAAAECLQUVBQQF9+OGH9P3339OlS5coNzfX4PHk5GTVzg0AAAAAAFxg+9PMmTNp3rx59NRTT1FqaiqNHz+e+vXrJxrhzZgxQ+3TAwAAAAAArQcVK1eupCVLltCECRPI19eXBgwYQEuXLqVp06bR7t271T49AAAAAADQelCRmJhIDRo0EH8uVaqUWK1g//nPf+iXX35R+ewAAAAAAEDzQUWVKlUoISFB/LlmzZq0efNm8ed9+/ZRQECAymcHAAAAAACaDyoee+wx2rp1q/jzSy+9RFOnTqXatWvT4MGD6dlnn1X79AAAAAAAwAqvoqKiItIQzqPYtWuXCCx69+5NriAtLY3Cw8PF1q2wsDC1TwcAwCq8bwEAgFuVlN2xYwe1adNGJGmzVq1aiVt+fr547KGHHlL7FAEAAAAAQMvbnx5++GGTvSh41p8fAwAAAAAAbVN9pYJ3X3l5eRU7fvPmTQoJCVHlnADAeQoKi2hvXDJdu51NFUIDqUV0BPl4F39PAAAAAO1SLajgBneMA4qhQ4caVHriLtuHDx8W26IAwH1tOppAMzccp4TUbN2xqPBAmt67HnWvH6XquQEAAIALBBWc2CytVISGhlJQUJDuMX9/f5FXMXLkSLVODwCcEFCM+voAGVeKSEzNFscXDmqKwAIAAMBFqBZULF++XHytUaMGvfrqq9jqBOBhW554hcJU6Tk+xpuf+PFH6kViKxQAAIALUD1Re/r06WLr0++//06fffYZ3b59Wxy/evUqpaenq316AOAAnEOhv+XJVGDBj/M4AAAA0D7VE7UvXrxI3bt3p0uXLlFOTg498sgjYjvU3Llzxf1FixapfYoAoDBOylZyHAAAAHj4SsXYsWOpefPmdOvWLYO8Cv1O2wDgXrjKk5LjAAAAwMNXKv766y/RQZuTs/VxrkV8fLxq5wUAjsNlY7nKEydlm8qr4JyKyPA75WUBAABA+1RfqSgsLBQlZI1duXJFbIMCAPfDfSi4bCwz7kgh3efH0a8CAADANageVHTt2pU++ugj3X3uW8EJ2pzA3bNnT1XPDQAch/tQcNlYXpHQx/dRThYAAMC1eBVxowgV8YpEt27dRL+KM2fOiPwK/lquXDnasWMHVahQgbQuLS1N9N1ITU2lsLAwtU8HwKWgo7Y68L4FAABuFVSw/Px8WrVqleiizasUTZs2pYEDBxokbmsZLs4A4GrwvgUAAG6VqM18fX1p0KBBap8GgNvCagAAAAC4fVBx6tQp+vTTT+nEiRPift26dWnMmDFUp04dtU8NwOVtOpogulPrN5vjykucCM15DQAAAAAun6i9Zs0aql+/Pu3fv58aNWokbgcOHKAGDRqIxwDAvoBi1NcHinWv5lKufJwfBwAAAHD5nIqaNWuK/IlZs2YZHOfqT19//TWdO3eOtA57k0GrW57azd1WLKAw7gWxc1InlG71QHjfAgAAt1qpSEhIoMGDBxc7zjkW/BgA2GZvXLLZgILxbAI/zuMAAAAAXDqo6Nixo+iqbWznzp3Uvn17Vc4JwB1cu52t6DgAAAAATSVqr1+/XvfnPn360KRJk0RORatWrcSx3bt30w8//EAzZ85U4/QA3EKF0EBFxwEAAABoKqfC21veAgl31y4oKCCtw95k0KLc/EKqM/VXKrTwX7i3F9HJ2T3I31e9RUuUu1UH3rcAAMDlVyoKCwvV+LEAHmX/xVsWAwrGj/O41jXLkhpQ7hYAAMA9qJpTkZqaStnZd/Zz5+bmUkpKipqnA+BWtJ5TgXK36kqykMQPAADgUkHFypUr6c033xR/fvvtt+nbb79V83QA3IqWcyp4yxM35DO1kCId48d5HCjraHwqjfvuIHX7aAdeWgAAcI+O2i+++CL16NGDfvvtN9qzZw/9+uuvap4OgFtpER0hOmdzo7siC30qeJyWy92qtTXLnRQWFtG2k9do6c7ztPt8su4YAACAywcVw4YNE4nY+fn51Lt3b1Fa9tlnnxWPLVu2TK3TAnAbPt5eNL13PdE5mwMI/Y+QfJ/x4zzO2bS+NctdZOUW0OoDV2j5zjg6fyNDHPP19qJeDaOof6Ny1OYjtc8QAADchWpBxYwZM8TXRYsWUV5eHjVv3pyef/55tU4HwC11rx9FCwc1FVuJ9FcGeIWCAwp+XA1a3prlDq6lZdOK2Iv09Z6LlJKZJ46FBvrS0y2r0ZDWNahS6SBR/QkAAMDlg4rq1avT+fPn6e+//6Zt27ZR586daeTIkRQdHa3WKQG4JQ4cHqkXKbYS8cw/f1DnLU9qrFC4wtYsV3YiIY2W/hVH6w/FU17BnVe2akQQPds2mp5sXpVCAlTd8QoAAG5M1SsMN7mbO3cu+fr60nvvvUe7du1CUAHgABxAaCk3Qctbs1wN50b8eeY6ff5XHO08e0N3vHn1MjSifbQIKPE6AgCAWza/M4fLywYGut52BzSRArAN+lTYLjuvgNb9G09Ld8bR2Wvp4hjHYD0aRNGIdtHUpFoZi9+P9y0AAFCS6mvh3AjvrbfeErkVSUlJdPr0aYqJiaGpU6dSjRo1aPjw4WqfIgB40NYsrbuRnkNfcb7E7ot0MyNXHCsV4Ev9H6xKQ9rUoKoRwWqfIgAAeCDVgwruU/Hll1/Su+++K3IqJPXr16ePPvoIQQWAAnLzC+mr2At0MTmTqkcE0zOta5C/r6ptaqCEziTdFvkSPx6MF3+frHLpIBrWtgY99WBVCg30w2sKAACeu/2pVq1a9Nlnn4lE7dDQUDp06JBYqTh58iS1bt2abt26RVqHbQSgZXM2Hqclf8WRflsCXggY2T6apvSsp+apYfuTFfz2zHkSHEz8efq67nijqqXF31/3ByLJ18e24BDvWwAA4FYrFfHx8SKwMLUtikvNAoB9AcVnO+KK//dVRLrjagUWnE/BidrGsxpcEYqPcylctUreqi0nv4DWH7xKn++Mo5OJt8UxLy+ibvUiaeRD0dS0WhnR5wcAAEArVN//UK9ePfrrr7+KHV+9ejU1adKkxM+3Y8cO0UyvUqVK4qK7bt06i+P/+OMPMc74lpiYWOKfDaAlvEWGVygs4celrTTOVFBYJHpnmFomlY7x4zzOkyRn5NKnW89Q23e202urD4uAItjfh4a2qUF/vNqRFj3TjJpVj0BAAQAAmqP6SsW0adNoyJAhYsWCVyfWrl1Lp06dohUrVtDPP/9c4ufLyMigRo0aie7c/fr1k/19/DPDwsJ09ytUqFDinw2gJZxDYe0zOT/O44a3jyFn4sRs/WZ8xvi0+XEep6VSuI7C1ZuW/R1Ha/ZfoZy7QR738eBgon+LahQehHwJAADQNtWDikcffZQ2bNhAs2bNopCQEBFkNG3aVBx75JFHSvx8PXr0ELeS4iCidOnSJf4+AK3ipGwlxymJKz0pOc5V8yViz98U/SW2nrymO16/chiNbB9DPRtEkZ+N+RIAAAAeF1Sw9u3b05YtW1Q9h8aNG1NOTo6oOjVjxgxq27at2bE8jm/6CY8AWsNVnpQcpyQuHavkOFfC281+OXJVJF8fu3rnvYPTIzrXqSiSr7mkLvIlAADA1WgiqFBTVFSU6JHRvHlzESgsXbqUOnbsSHv27BErJqbMmTOHZs6c6fRzBSgJLhv75sYTZKm+G3+Y5XHOxh+ceXsPJ2WbOj1OQY4Mv9Ozwl2kZObSN3sv0Ze7LlBS2p1JiUA/b3qiWVVRFjamfCm1TxEAAMC1gooyZeRXLklOTnboudx///3iJmnTpg2dO3eOPvzwQ/rqq69Mfs+UKVNo/PjxBisVVatWdeh5ApQUN5AL8vOhzNwCs2P4cTUazfHPnN67nqjyxD9dP7CQzoYfd4cmeBduZIh8iR/+uUJZeXf+LiqEBohGdU+3qEZlQvzVPkUAAADXDCq4qZ3k5s2bogFet27dRF8KFhsbS7/99pvoqq2GFi1a0M6dO80+HhAQIG4AWsZJzpYCCsaPq5UMzeViuWwsV3nST9rmFQoOKFy5nCznS+y7cIuW/nWetpxI0q0W1Y0KoxHtoql3o0poPggAAG5FlaCCqz1JHn/8cZGkPWbMGN2xl19+mebPn0+///47jRs3zunnd/DgQbEtCsCVuUIyNAcOj9SLFIENnwfnUPCWJ1ddocgrKKSNRxJEf4nDV1J1xx++v7xIvubgDfkSAADgjlTPqeAViblz5xY73r17d5o8eXKJny89PZ3Onj2rux8XFyeChIiICKpWrZrYusTla7lkrbRqEh0dTQ888ABlZ2eLnIpt27bR5s2b7fzNANTlycnQzpaalUff7btEX/x9ga7eXXUJ8PWmfk2r0PB2NahWhVC1TxEAAMC9g4qyZcvSTz/9RBMmTDA4zsf4sZL6559/6OGHH9bdl3IfeHXkiy++oISEBLp06ZLu8dzcXPGzOdAIDg6mhg0bihUS/ecAcEXNqpdRdJyjumobb3+KcqHtT5eTM0W+xPf7LlPG3a1m5Ur50+DWNWhgy2pUthS2SQIAgGfwKuLNvyriD/ojRowQvSVatmwpjnHlpU2bNtGSJUto6NChpHWcqB0eHk6pqakGDfQA1PTX6ev0zLK9Vsd99WwLan9feVIjoOBEbeM3IGnjE+dbaDWw2H/xFn2+8zxtOpqoazB4X8VSNKJdDPVpXIkC/XxI6/C+BQAAbrVSwUFD3bp16ZNPPhHdtBnf50RpKcgAgJJbc+CK7HHODioKCovECoWpGY2iu4EFP875FlrJr8gvKKTfjiXR0p3n6d9LKbrjD91XXiRft69dDvkSAADgsVQPKhgHDytXrlT7NADcSmZuvqLjlMSJ2fpbnkwFFvy4WpWp9N3OzqPv/7lCy/+Ooyu3ssQxfx9v6tukEg1vF0P3RyJfAgAAQBNBhYQTpTnHQR+2EwHYpnm1CNp8/Jqscc7mCpWp4lOy6Iu/42jV3st0O+dO4BUR4k+DWlWnZ1pVp/KhyJcAAADQTFCRmZlJEydOpO+//170rDBWUGC5zj4AmFa3Upii4zylMtWhyym0dGecKA3L27RYzfIhYlWiX9PKLpEvAQAA4HFBxWuvvUbbt2+nhQsX0jPPPEMLFiwQlZg+++wzeuedd9Q+PQCXdSMjV9FxSuJeFFzlKTE122RehdfdJng8zhk4eNhyPEkkX3PTOknbWmVF8nWH+8qTt0ZyOwAAALRI9aBiw4YNomdEx44dadiwYdS+fXuqVasWVa9eXeRZDBw4UO1TBHBJyek5io5TEidfc9lYrv7EH9X1Awvpozs/7ugk7YycfPrhn8u07O8LdCk5Uxzz8/ESHa85mKinwioOAACAK1I9qEhOTqaYmBhd/gTfZ+3ataNRo0apfHYArqt0kJ+i45TG5WK5bKxxn4pIJ/SpSEjNoi93XaRv9lyktOw7+RLhQX40qFU10WOiYhgaAgIAALhUUMEBBXe95m7XderUEbkVLVq0ECsYpUuXVvv0AFxWSlaeouMcgQMHLhvLVZ44KZtzKHjLk6NWKI7Gp9LnO+Now6GrlH83X6JG2WAa3i6aHm9WhYL9VX9LBAAAcEmqX0F5y9OhQ4eoQ4cONHnyZOrduzfNnz+f8vLyaN68eWqfHoDLipDZzVnuOEfhAMKRZWMLC4to28lror/E7vN3VkJZy+gIGtE+hjrXqYB8CQAAAFcPKsaNG6f7c5cuXejkyZO0f/9+kVfRsGFDVc8NoKTJvs6acZcjUuYWHrnjXO11y8otoNUHrtDynXF0/kaGOObr7UW9GkaJfIkGVcIVOHsAAAAQ11g1XwZejejevTstWrSIateuLY5xgjbfAFzJpqMJxXIDopyQGyCnwpKlJnNRTqyw5KzX7VpaNq2IvUhf77lIKZl3tnaFBvrS0y2r0ZDWNahS6SDFzh8AAAA0EFT4+fnR4cOH1TwFAEU+GHMVI+PSqFwulY9zMrIagQXP9tevHGYxqODH1VpNUfp1O5GQRkv/iqP1h+Ipr+DOs1aNCKJn20bTk82rUkiA6guzAAAAbkv1q+ygQYPo888/R08KcEm8dYdn2k31WuBj/HGdH+dkZGd/eM/NL6TfT1juqM2P8zh/X29yxdeN8yX+PHOdPv8rjnaevaE73rx6GRrRPlqV1x0AAMATqR5U5Ofn07Jly+j333+nZs2aUUhIiMHjSNYGLeNcAEsrAfwBmR/ncY5MRjbly10XqMjUp3Y9/DiPG/nQnbLOrvK6ZecV0Lp/40Xn67PX0sUxjh16NOB8iWhqUq2MQ88fAAAANBZUHD16lJo2bSr+fPr0aYPHvLwwwwjaxsnFSo5T0r4LN2WPc3ZQYevrdiM9h77ifIndF+nm3U7gpQJ8qf+DVWlImxpUNSLYIecLAAAAGg8qtm/frvYpANiMqxUpOU5JcnsuqNGboaSv25mk2yJf4seD8WK7FqtcOoiGta1BTz1YlUID1WngBwAAABoJKgBcmVRhiZOLTe008rrbIVqNCkuPN61C6w5elTVOi69bxbAAys0voCHL9tKfp6/rHmtUtTSNbB9N3R+IJF8f5+aCAAAAgGmqXZETEhLojTfe0N1v166d2AYl3R588EGKj49X6/QAZOEkYC5/yow360n3+XE1koXb1CpHwf4+FseE+PuIcVp63VjR3TFDlu8TAQXvhOQgYs2o1rTuxTb0n4aVEFAAAABoiGpBxf/93//RrVu3dPe5q3b79u3p0UcfFTcfHx/68MMP1To9ANm47CmXP+UVCX18X61ysnT3Q/kzrapZHDOoVTXVqiPx6/LcQ9EiYDAlPiVbBEVD29SgP17tSIueaUbNqkcg1woAAECDvIqKrNWHcYwmTZrQJ598IgIJFhoaKgKLmJg7CaO//fYbjR8/no4dO0Zal5aWRuHh4ZSamkphYWFqnw6oRGsdtfl82s3dZrX53c5JnVQ5T3N9KiT9mlSm6X0eoPAg5Es4At63AADALXIqLly4QNHR0br7jzzyiEE52fvvv5/i4uJUOjuAkuMP5s4uG2tP2VZSsdxtfkEhvf7jEbMBBYs9f1NUdgIAAADtU237U15eHl2/fi/5cu3atVSxYkXdfd4a5e2NJEwAdyp3y5Wbfvz3CnWZ9yclZ+TJCngAAABA+1SbBuSViF27doltUKb89ddfdN999zn9vADchZbK3aZk5tI3ey+JRntJaTmyv0+N/h4AAABQcqotBfTv35+mTZtGhw8fLvYY51bMmjWLBgwYoMq5AbgDzukoHWw5H4Efd2S52ws3MmjaT0ep9Zxt9O6mUyKgqBAaIHpLaLW/BwAAALjQSsUrr7xCP//8MzVr1kzkU/DKBTt16hRt2bKFWrduLcYAgOM4Ij2baz/su3CLlv51nracSCKpFETdqDAa0S6aejeqJPJPdpy+rsn+HgAAAOBCQYWfn58IHubNm0erVq2iP/74QxyvXbs2zZ49m8aNGyfGAIBtOB8hJdNy3sKtzDzFErXzCgpp45EE+nxnHB2+kqo7/vD95Wlk+xjxM7z06sdynwqu/sRHijTU3wMAAABKTtXSKv7+/jR58mRxAwBlJaRkKTrOnNSsPPpu3yX64u8LdPVutakAX2/q17QKDW9Xg2pVCLXY32PmhuMGVap4hYIDCrX6ewAAAEDJoV4jgJv2qfj38i3Z4/o1q1Li57+cnEnL/o6j7/ddpozcAnGsXCl/Gty6Bg1sWY3Klgqw+hwcODxSL1JTrxsAAAC4YFBRpkwZkx1y+VhgYCDVqlWLhg4dSsOGDVPl/ADkNnIznnGPUnnGvbBI2XGS/Rdv0ec7z9Omo4m6772vYika0S6G+jSuRIF+Pi7d3wMAAABcMKjgClBvvfUW9ejRg1q0aCGO7d27lzZt2kSjR48WDfBGjRpF+fn5NHLkSLVPF0B2Z2hOQubjvMVHncCiSLFx3Kzut2NJtHTnefr3Uoru+EP3lRfJ1+1rlzM5OQAAAACeQfWgYufOnfTmm2/SCy+8YHD8s88+o82bN9OaNWuoYcOG9MknnyCoAE1ueeIVClMfy/kYf8zmx3mLj7O39IT4+9o97nZ2Hn3/zxVa/nccXbl1J/fC38eb+japRMPbxdD9kabzJQAAAMCzqB5U/PbbbzR37txixzt37kwTJkwQf+7ZsyeSuUGTOBdAf8uTqcBC6gzt7C0+x6+m2TwuPiWLvvg7jlbtvUy3c/LFsYgQfxrUqjo906o6lQ+1ni8BAAAAnkP1oCIiIoI2bNggSsjq42P8GMvIyKDQUMyIgvbI7fisRmfoIH+fEo87dDmFlu6ME6VheRWG1SwfIlYl+jWtXOJ8CQAAAPAMqgcVU6dOFTkT27dv1+VU7Nu3jzZu3EiLFi0S97mfRYcOHVQ+U9ACrVVYktvxWY3O0C2iy9KWE9esjmteI0IkXXPyNTetk7StVVYkX3e4rzx5oxoTAAAAWOBVxO1vVfb333/T/PnzRTdtxt21X3rpJWrTpg25grS0NAoPD6fU1FQKCwtT+3TcOiF6xvrjlJim19MgLJBm9FGvwlJufiHVmfqrxQpK/Hn85Owe5O/r7cxTo6zcAqo7bZPVcVXLBNHlu/kSfj5eouM1BxP1KuHfsjvD+xYAALjVSgVr27atuAFYCihe+PpAseMcYPDxRSpVWOLyqtZKsvLjPM7ZORUHL9+r0mQJBxThQX40qFU10WOiYligR68+uRK8dgAA4NFBBc+QyYWZf+APTpPXHrH4QkxZe0SVCkuJqVmKjlOS3J/5eNPKNLtvfQqWWS3K3ft7uAq8dgAAoCXO3Y9xV+nSpUXTOzk3gN3nb1JKZp7FF+JWZp4Y52zJGbmKjlOS3J9ZLypMtYCC+3gYV8+S+nvw44DXDgAAXIMqKxWclC25cOGCKBfLXbNbt24tjsXGxtKXX35Jc+bMUeP0QGNiz92UPa5trXLkTBGlAhQdp2Q+xYnE25o8N63399A6vHYAAKBFqgQV+pWcZs2aRfPmzaMBAwbojvXp04caNGhAixcvpiFDhqhxiqAhhUWFio5TUgWZ/RrkjrPXtbRsWhF7kb7ec9Hq6o6zz81V+ntoHV47AADQItUTtXlVQiodq6958+Y0YsQIVc4JtCU8yF/RcYqSWzvNwTXWTiSk0dK/4mj9oXjKK7jzw7hB3fXbOaqfm6v199A6vHYAAKBFqgcVVatWpSVLltC7775rcHzp0qXiMYC07DxFxynpRkaOouNKorCwiP48c50+/yuOdp69oTvevHoZGtE+mjKy82nC6sOa/OCu5f4eWofXDgAAtEj1oOLDDz+kxx9/nH799Vdq2bKlOLZ37146c+YMrVmzRu3TAw3wEjvslRunpIhgf0XHyZGdV0Dr/o0Xna/PXksXxzjtoEeDKBrRLpqaVLtT4ODzv85rNomcy8ZylSdOyja1UMJ/k5Hhd8rLAl47AADQPlWqP+nr2bMnnT59mnr37k3Jycnixn/mY/wYgNw99WrsvT9yJUXRcZbcSM+hD7ecprbvbBMldjmgKBXgKwKJP197mBY83VQXULAyMgMZueOUxMnXXDaWGYeC0n1+HEnaeO0AAMA1qL5SwXib09tvv632aYBGPVgjgry8iCz1fufHeZyzrTsUL3vci51q2/QzTifdFlucfjwYLzp4s8qlg2hY2xr01INVKTTQz+T33cqUtwIhd5zSuA/FwkFNacb6Y5SYdm97WMWwAJrR5wH0qZDx2hn3+ODVHfT4AAAAjwkqDh+2vs9b0rBhQ4eeC2gfd6O2FFCwIpW6VufmFSo6TlJUVCTyJDj5+s/T13XHG1UtTSPbR1P3ByLJ18fyQmPpINPBhq3jHMfcWgVYCyy45C66kQMAgMcGFY0bNyYvLy/xwckSHlNQUOC08wJt0nLX6tIhfkTJWfLGyZCTX0DrD16lz3fG0cm7fSZ4FaZbvUga+VA0Na1WRvx3IUdKVp6i4xzV/M74XSAp7U7zO56JR1dty3h7GEruAgCAFqgSVMTFxanxY6EEzbW0NPt5Iz1X0XFKiggOUGQcJ0uv3H2Rvoy9KHInWLC/Dz3ZvKrY5lS9bIjbNOZjaOAGAADgXlQJKqpXr67GjwWZs8fG+7SjVN6nnSyzHKvccUrKuZvjYOs4TrZe9nccrdl/RTeGX++hbWpQ/xbVKNyOrUlaa8ynDw3cAAAA3Ivqido3b96ksmXv7IO/fPmy6FmRlZUlumq3b99e7dPzKOa2o3DZTzW3o1xNyVJ0nJIKrSV7mBjH2/5iz98UyddbT17THa9fOYxGto+hng2iyM9KvoQcWTkFio5TEhq4AQAAuBfVgoojR46I0rEcSNSuXZtWrVpF3bt3p4yMDPL29hb9K1avXk19+/ZV6xQ9ipa3o8jNIZA7TknZefmyx3Hlpl+OXBXJ18euponjfMqd61QUyde8zUzJ3+Gjradlj+vyQEVyJjRwAwAAcC+q9amYOHEiNWjQgHbs2EEdO3ak//znP9SrVy9KTU2lW7du0fPPP0/vvPOOWqfncUqyHcXZIsMCFR2npOxcebP8V25lUft3t9G47w6JgCLQz5ueaVWdto7vQEuHNKeWMWUVD4pSZSZgyx3niOZ35n5jPs6Po/kdAACAa1BtpWLfvn20bds2UTK2UaNGtHjxYnrxxRfFKgV76aWXqFWrVmqdnsfR8naU2zl5io5TUl6hvO1P19PzdPkLQ9rUoKdbVKMyIY5tOndfxRC6fCtL1ji1mt/xtjoOIPRfRTS/AwAAcD2qrVRw5+zIyEjx51KlSlFISAiVKaPXDbhMGbp9+05JTXA8bEexjdzVBX9fb/rgiUa0c1InGv1wLYcHFGxQyxqKjnNUAzdu2KaP76OcLAAAgGvx1dIHMjX2xIPhdhROyjY19+5198OeGttRZOZCyx6npHKhAXTmWobVcU2rhdPjzaqQM6Xl5Cs6zlGBRac6Femr2At0MTmTqkcE0zOta4ggDAAAAFyHqkHF0KFDKSDgTjnL7OxseuGFF8SKBcvJcX55UE+m5e0oN2WWipU7Tknh/vL+Eyovs5+FkiKC/RUd56wSxkt3xqlawhgAAABKTrXpwCFDhlCFChUoPDxc3AYNGkSVKlXS3efHBg8eXOLn5cRvrirFz8UrH+vWrbP6PX/88Qc1bdpUBDi1atWiL774gjyRVrejxJ67qeg4JVxOzqSZG47RZr2SsJbcyHR+wHPiboUppcY5qoSxcYEAqYQxPw4AAACuQbWViuXLlzvkebkkLSd+P/vss9SvXz9Z3b256hSvkqxcuZK2bt1KI0aMoKioKOrWrRt5Gg4cuGysljpq5xUUKTrOHvsv3qLPd56nTUcTSWaOtnBThW7fey/clD3uOarp8PMpSQljUrGEMQAAALhg8zul9ejRQ9zkWrRoEUVHR9MHH3wg7tetW5d27twp+mR4YlDB+ENc65p3GhJqQai/D2XlFcoa5wj5BYX027EkWrrzPP17KUV3/KH7ytO5pDSKT9XmVr3EtBxFxzmzhDHplTDW0r9FAAAA8JCgoqRiY2OpS5cuBsc4mHjllVfIU/EsspZWKqqXC6FrGSmyxinpdnYeff/PFVr+d5zoM8H8fbypb5NKNLxdDN0fGUrPfbWX4lOvW32uGuWDydl429pRGVubjLe7OUNiWrai4wAAAEBdHh9UJCYmUsWKht2E+X5aWhplZWVRUFBQsReNk8j1E8l5rLvgfewz1h83+DDHTeVm9FEvcfaWzARsueOsiU/Joi/+jqNVey/T7buVkSJC/GlQq+qiYV350HtJ10cu3ZL1nHLHKalldFn6/cQ1WeOcLTk9R9FxAAAAoC6PDypsMWfOHJo5cya5Gw4oXvj6QLHjHGDw8UUqJWs7a1b70OUUUXlo45EEsVrDapYPEasS/ZpWpkC/4turktLllWOVO05JHAS9tfGErHHOxkGakuMAAABAXR4fVHADvqSkJIMXhe+HhYWZXKVgU6ZMofHjxxusVFStWpVcGX+Inrz2iMUxU9YeUSVxNjOvSNFxxr/3luNJIvl634V7qwlta5WlEe1iqMN95cnbwu8rN1m7JEndSjl4OUX2OGfnLUSGByk6DgAAANSlqaDiypUrohSst7fzKt22bt2aNm7caHBsy5Yt4rg5XHpW6q/hDjkLbPf5m5SSmWdxzK3MPDGuba1y5ExyX5mSvIIZOfn0wz+XadnfF+hScqY45ufjRb0bVRLBRL1KYeTqtJy3IDVbtJSsHaVSs0UAAABw8aCiXr16dPDgQYqJibH5OdLT0+ns2bMGJWP5OSMiIqhatWpilSE+Pp5WrFghHudSsvPnz6eJEyeKMrTbtm2j77//nn755RdyVrMv/vCkdrOvkvSCcHZQEeDrJWsVgsdZk5CaRV/uukjf7LlIadl3tiSFB/nRoFbVaHDrGlQxzPlJy45yXWawIHeco5otmuvgrlazRQAAAHDxoKKoyP49Iv/88w89/PDDuvvSNiVutsdN7RISEujSpUu6x7mcLAcQ48aNo48//piqVKlCS5cudUg5WanZl/FvKTX7UrPBnGEPbSXGKSfI15sy8wpkjTPnaHwqfb4zjjYcukr5d/ci1SgbTMPbRdPjzapQsMzO2MZ8vIjktMfgcc7Gv7OS4xzVbFGLQTYAAAC4cFChhI4dO1oMTkx1y+bv+ffff1Vt9uWlcrOvljXK0nw6J2ucs6XnFto0rrCwiLadvCb6S+w+n6w73jI6gka0j6HOdSpYzJeQw9+bKKtA3jhnu5qapeg4T2m2CAAAAC4WVEhbkCT5+fm0du1aqlChgu7Y4MGDyR1Ya/ZVpHKzL27wpuQ4JeXI7JQtjcvKLaDVB67Q8p1xdP5Ghjjm6+1FvRpGiXyJBlXCFTu3Ii9lxympSulg+udiiqxxatJas0UAAABwsaBi+fLlBvfz8vJo9erVuqpLXl5ebhNU8CyskuOUxrP5csc9XM+wr4eWvP/bKfp6z0Vd0nlooC893bIaDWldgyqVVr6SkJcXL0EUyhznXLyta92hq7LGAQAAALhsULF9+3aD+6GhofTNN9/YlaitVbytQ8lxSjt3I13RcWqZv/1Okn7ViCB6tm00Pdm8KoUEOO6feekgP8rKy5E1ztna1CpHwf4+lJlrfn9WiL+PGAcAAABgD7fLqdAqqYQmJ2Wbq3YTqWIJTV8fb0XHqaV59TI0on2003JTygT7UUJajqxxzsa//7wnG5lsaCj54MlGyF8AAAAAu2n7E6IbkUpoMuOPutJ9NUtoNqlcWtFxalk9qo1I/nXW68i9LZQcpzR+LbgTesVQw74qkWEBqnVIBwAAAPejqZWK119/XfSTcFfmSmhGaqCEZr3KYbThaKKscXDP1ZRsRcc5AiosAQAAgEcFFdyYzt1p9QPeqaR0Rccp5XTSbdIyqYGeUuMcBRWWAAAAwGOCCk+hxQ94GTn5io6zB/cZ2Xn2Bi39K47+PH2dtExuLIi2CwAAAODOEFSAUN5oz72942yRk19A6w9eFZ2vTybeWaHw8uIgQ7t/SUF+PpSVny9rHAAAAIC7QlABQrjMkqdyx5VEckYurdx9kb6MvUg30u9UUuJSqFwOdljbGtThvT80+7cUEeJHyVn5ssYBAMD/t3cn0FFX1wPHbxKyQEhCEggJeyJrCmIEwbAIihwEDVLFBVlCFSz2VBCrAm0FF0CLih4V2VWE6r9uRVygVdwAQXYQEZESFoGwEyAhLMn8z32YMZONwd8wv5nJ93POmPze72XyzguJc+e9+64ACFAEFTCC3dyf424/d2w7cFJeXZYl7635WU6fO19ATo/dHdyhkdzZroEzgNHv6M5ihR1ZKTHVdOXmlJv9UJaCQofP5RgBAICLQ1CBiyrOZrWIm+ZLLN9+WGYvyZLFWw4421vWjZahnVOkV6skCS1RC6NqiEhe+fXbXPp5W9+29WTNrmNu9UNpizbtK3UaWpIPnIYGAAD8IKhYsGCB23179+59SceC82pWD/dov5LOnCuUjzbuNcnXm/cdd+ZLdGteW4Z2TjbvTgdpQxlOuxFQXEw/T8pz85u626+yBRT3zVtbahVKC0Rqux6/TGABAIB/sCWo6NOnj1v99EVmQQEvxrwhITrCo/2KHMs7I2+u3CVzvtkh+3+pPB0RGiy3tTmfL5FSq/qFn8SH9z/FuRlkuduvMm150hWKsn6sjl9+lHrfW5XRAQCAHwYVhYXn98/DdxQWODzab8ehXJMv8c7qn+XU2fOBYUJUuGR2aCR3tWsgsZFh7o/N4dl+npToZpDlbr/KQnMoim95Kkl/lHpf+/na8csAAKA0cipgLM865Ha/zs1qlZsvsWrHUZm1ZLt8+sN+51GwLZKiZUinZMloXUfCqrjmS7jDhxcqpE3DWFODoqKARu9rP/xKk7I92Q8AANjLJ4KK3Nxc+eqrr2TXrl1y5swZl3vDhw+3bVyVyd5j+b+539mCQvnku32mvsTGn3Oc7dc1TzDBhL7TXF6+hDsu9KK9eD9vW7Pz6AXHpve1H++4/0pPefJkPwAAUMmDinXr1kmvXr0kLy/PBBdxcXFy6NAhqVatmiQkJBBUeEnd2KoX3S/n1Fn516pd8vqyHbL3l60s4VWC5ZYr68k9nRpJ44Qoj4wtLCRIzp1zuNXP23jH/bfRxHw95UmTssv6yepPMjHm/PGyAADA99keVIwcOVIyMjJk2rRpEhMTIytWrJDQ0FAZMGCAjBgxwu7hVRodLqspU774n1v9dh/JM/kSb6/aLblnzudL1KweJoPSG0n/9g0k3sNJyeGhwZJ3rsCtft7GO+6/jSZf67GxespTye1tRaGh3idJGwAA/2B7ULF+/XqZPn26BAcHS0hIiJw+fVpSUlJk0qRJkpmZKbfccovdQ6wUrk6JlxrVQuVY3tly+0SFh8i8FTvlP99nO7f8NK1dXYZ0SpHeV9SRiNBLUyjCzdxwt/t5EjkVv50eF6vHxpasU6ErFNSpAADAv9geVOiqhAYUSrc7aV5FixYtzKrF7t277R5epaHvCD99SysZNm9tuX1OnC6QhZuyzefXNK1l8iU6N6lpKV/CHe5ua7Jj+xM5FdYDCz02loraAAD4N9uDirS0NFm1apU0adJEunTpImPHjjU5FXPnzpWWLVvaPbxK9wJv2oAr5bEFmyX7eOmE7LCQYOmTVkfu6ZQizRI9ky/hjkI3z4p1t58nkVPhmYCWJHYAAPyb9zehlzBx4kRJSkoyn0+YMEFiY2Plvvvuk4MHD8qMGTPsHl6l06peDbnx8iSpWmwrU1y1MBnerYksG32dTOrb2qsBhSpw87BYd/t5Us3IcI/2AwAA8Ee2r1S0bdvW+bluf1q0aJGt46msNuw+JrOWZpmjYbXasbqsVqRZlbjlyrqXLF/CHfVqVJWcUyfc6udthUXFODzUDwAAwB/ZHlTAPho8fLp5v8xeut0UrSvSsXG8Sb7u0rSWBNtR/KGEni0T5ft9J9zq523fZh1xu1/npmUXDQQAAPB3tgcVycnJFSb6bt++3avjqQxyT5+Td1bvlleX7ZBdR/JMW2hIkKl4rcFEap1o8SVaD8OT/TzL3RUIVioAAEDgsj2oeOCBB1yuz549awri6Taohx9+2LZxBaJ9Oadkzjc75c1vd8rx/HOmLaZqqAy4uoGpMVE72jerF3/zv8Me7edJ6Sk15WU36ntoPwAAgEBle1BRXoG7KVOmyOrVq70+nkC0aU+OzF6aJR9u2CvnfsmXaBRfTe7plCy3tqkn1cJs/2dQodyzBR7t50lXXxYv1cJCJO+XIoBliQwLMf0AAAAClc++muzZs6eMGTNGXnvtNbuH4pf0eNXPtxyQWUu3y4rtv+77b58cJ0M6p0i35gk+kS/hjjoxEbLjUJ5b/ewQViW4wqAitIrth6wBAABUzqDi3Xfflbi4OLuH4XdOnSmQd9f+LK8tzZLth3JNW5XgIHNMrOZLtKoXI/6mQ0pN+eZ/R9zq521atK2iKuRK72s/ajEAAIBA5RPF74onajscDsnOzjZ1Kl555RVbx+ZPDhzPlzeW75R53+50vsiNiqgid7VvIJnpjaSODcetesq2Ayc82s+TyioSaKUfAACAP7I9qOjTp4/LdXBwsNSqVUu6du0qzZs3t21c/uKHfcdl1pIsWbBhj5wtOJ8vUT+uqtzdMVlub1tfIsNt/xFblne20KP9POnIydMe7QcAAOCPbH/FOW7cOLuH4Jf5El/9dFBmL8mSpdsOOdvbNoyVIZ2TpXtqooT4Sb6EO65qFCv/3bzfrX7eFhcZ5tF+AAAA/siWoOL48eNu942O9q2aCXbKP1sg89ftMZWvtx04ado0dujZSvMlkiWtgfdfVHtDZodkmfDJFrf6eVtiTFWP9gMAAPBHtgQVNWrUqLDgXXEFBd4/JtTXHDp5WuZqvsSKnXI494xpqx5eRe68qr5kdmgk9eOqSSDTVRc9ljW3omNbw0NsWZ1plxwnSTERsi+n/JwJva/9AAAAApUtQcUXX3zh/HzHjh0yevRoGTx4sKSnp5u25cuXy5w5c+Spp56Symzr/hNmi9O/1++RM+fO5wvUrVFV/tCxkdxxVX2JigiVykBPTqoooFC5pwtsOWFJA5lxGaly37y1ZdbM1jBH7wfSdjQAAACfCCq6dOni/PyJJ56QyZMnS79+/ZxtvXv3llatWsmMGTMkMzNTKhM9/UrzJDT5+qutB53trevXkKGdk+WG3yVKlZDKVffgwIl8j/bztBtaJsm91yTLzCVZ8kttQUPjCPMza5lky7gAAAAqTaK2rkpMmzatVHvbtm1lyJAhUlmcPlcgC9bvNZWvt2SfPxpVd4j1SE2Uodcky5UNYt3eMhZoEqIiPNrP0xZt2iczvs4qtVLhcIhp11wXAgsAABDIbA8q6tevLzNnzpRJkya5tM+aNcvcC3RHcs/IP1fslDnLd5rcCVUtLMQcB6vbnBrGR0plp/kIOicVVa3W+3bkLRQUOuTxDzeXufVJ2zQM1PuBdiIXAACATwUVzz//vNx6662ycOFCad++vWlbuXKl/PTTT/Lee+9JoNLTm15dliXvrflZTv+SL6EJvYM7NJI72zWQmKqVI1/C3Rfup85WnFOh97Wft1+4ax5HRUnaGljofSpqAwCAQGZ7UNGrVy/ZunWrTJ06VbZsOX9saEZGhgwbNizgVio0X2L59sMm+XrxlgPO9pZ1o2Vo5xTp1SpJQitZvoQ75i7fYbYSVUTva797OqeIN/l6vgcAAEClCCqUBg8TJ06UQKUnN320ca9Jvt6873yNDk2P6Na8tknk1W07lTVfwh07j+R5tF9lyvcAAAAI2KBi48aN0rJlSwkODjafV+Tyyy8Xf3Us74y8uXKXzPlmh+w/fj5fIiI0WG5rcz5fIqVWdbuH6BcaulmHw91+nlRUpyI7J7/cI2UTqVMBAAACXJBD9+R4mQYT2dnZkpCQYD7Xd+nLGoa2+0PxO60QHhMTIzk5OaYC+I5DuSZf4p3VPztzARKiwk2hurvaNZDYyDC7h+x3Kz3NH13oclxrSZpKseXJnhJWJdiW05+0ToUqPsSitaepA67k9Cf4/N8tAAD8bqUiKytLatWq5fw8UKzecUT+b/1W+fSH/c4cgBZJ0TKkU7JktK5jywveQKDzptvEpn9d/r8VvW/X/OpxsRo4PLZgs2Qf/zV3QlcotPAdx8kCAIBAZ0tQ0bBhwzI/93eDX1slweHnt+Bc1zzBBBNa4Zl8CevG9Eo1H8srMFd0316uSyk2LAICAABUnu1Pxc2ZM0dq1qwpN954o7l+5JFHTCXt1NRUeeutt/wi6CjaRnDZQ+/KbelN5Z5OjaRxQpTdwwrYrVB6ypMmZWsOxcD0RravABVtfyr5i8T2J/gytj8BAAIqqGjWrJk5Tva6664z1bW7desmL7zwgnz00UdSpUoVef/998Vf/uecteeANKpzflsXKgetjdHpH5+XW6uiKFF76ajrKH4Hn0JQAQAIqCNld+/eLY0bNzafz58/X/r27Sv33nuvdOzYUbp27Sr+JK56uN1DgJdR/A4AAEDE9szh6tWry+HDh83n//3vf6V79+7m84iICDl16pTNowMqRvE7AAAAH1ip0CBiyJAhkpaWZipra4Vt9f3330ujRo3sHh5QIYrfAQAA+MBKxZQpUyQ9PV0OHjwo7733nsTHx5v2NWvWSL9+/eweHuBW8bvy6qFru97XfgAAAIHK9kTtQEDCY+VG8Tv4I/5uAQACaqVCLVmyRAYMGCAdOnSQPXv2mLa5c+fK0qVL7R4a4HbxOz3lqTi9ppo2AACoDGzPqdAtTwMHDpT+/fvL2rVr5fTp06Y9JydHJk6cKJ988ondQwTcCiy6pyaa06A0eVtzLXTLU4hW5wMAAAhwtq9UjB8/XqZNmyYzZ86U0NBQZ7seKatBBuAvNIDQCuo3X1HXfCSgAAAAlYXtQcWPP/4o11xzTal2LSZ37Nix35z8rSdH6bG07du3l5UrV5bb9/XXX5egoCCXh34dAAAAAD8JKhITE2Xbtm2l2jWfIiUl5aKf71//+pc8+OCDMm7cOLPS0bp1a+nRo4ccOHCg3K+Jjo6Wffv2OR87d+686O8L+Hrl7+X/OywfrN9jPuo1AABAwORUDB06VEaMGCGvvvqqWSXYu3evLF++XB566CF59NFHL/r5Jk+ebJ7zD3/4g7nWrVUff/yxef7Ro0eX+TX6fTW4AQL1dKrHP9ws+3LynW16zO24jFSTCwIAAOD3KxX6Qv+uu+6Sbt26ycmTJ81WKC2G98c//lHuv//+i3quM2fOmPoW119/vbMtODjYXGugUh79vg0bNpT69evLzTffbArvAYF03G3xgEJl5+Sbdr0PAADg90GFrhL87W9/kyNHjsimTZtkxYoVphDek08+KadOnbqo5zp06JAUFBRI7dq1Xdr1Ojs7u8yvadasmVnF+OCDD2TevHlSWFhojrb9+eefy/0+ekKVnvFe/AH4Gt3ipCsUZW10KmrT+2yFAgAAfh9UFAkLC5PU1FRp166dOQVKtzElJydf8u+r1bwHDRokV1xxhXTp0kXef/99qVWrlkyfPr3cr3nqqadMInnRQ1c4AF+jx9uWXKEoGVjofe0HAADgl0GFvts/ZswYadu2rVkZmD9/vml/7bXXTDDx/PPPy8iRIy/qOWvWrCkhISGyf/9+l3a9djdnQgOatLS0MpPHi+i4tY5G0WP37t0XNU7AG7Rehif7AQAA+FxQMXbsWJk6dao5+nXHjh1y2223yb333muCCV2l0LZRo0Zd9GpHmzZtZPHixc423c6k17oi4Q7dPvXdd99JUlL5Cazh4eHmxKjiD8DXaAE+T/YDAADwudOf3nnnHXnjjTekd+/eJpfi8ssvl3PnzsmGDRtMnsVvpcfJZmZmmhUQ3Ur1wgsvSG5urvM0KN3qVLduXbOFST3xxBNy9dVXS+PGjU1djGeeecYcKavJ4oA/04reesqTJmWXlVehv2WJMecrfwMAAPhlUKGJ0LqqoFq2bGne/dftTlYCCnXHHXeYRG9dCdHkbM2VWLRokTN5e9euXeZEqCJHjx41R9Bq39jYWDOmb775xuR3AP5MK3rrsbF6ypP+VhUPLIp+y/Q+lb8BAIBVQQ6Hw5YqWJr7oC/kNSlaRUVFycaNG72SnO1pevqTJmxrfgVboeBrqFOBsvB3CwAQECsVGssMHjzYrFCo/Px8GTZsmERGRrr009OYAPx2WuCue2qiOeVJk7I1h0K3PLFCAQAA/D6o0LyH4gYMGGDXUICApwFE+mXxdg8DAAAEKNuCCj06FgAAAID/85nidwAAAAD8E0EFAAAAAEsIKgAAAABYQlABAAAAwBKCCgAAAACWEFQAAAAAsISgAgAAAIAlBBUAAAAALCGoAAAAAGAJQQUAAAAASwgqAAAAAFhCUAEAAADAEoIKAAAAAJYQVAAAAACwhKACAAAAgCUEFQAAAAAsIagAAAAAYAlBBQAAAABLCCoAAAAAWEJQAQAAAMASggoAAAAAlhBUAAAAALCEoAIAAACAJQQVAAAAACwhqAAAAABgCUEFAAAAAEsIKgAAAABYQlABAAAAwBKCCgAAAACWEFQAAAAAsISgAgAAAIAlBBUAAAAALCGoAAAAAGBJFWtfDnhXQaFDVmYdkQMn8iUhKkLaJcdJSHAQPwYAAAAbEVTAbyzatE8e/3Cz7MvJd7YlxUTIuIxUuaFlkq1jAwAAqMzY/gS/CSjum7fWJaBQ2Tn5pl3vAwAAwB4EFfCLLU+6QuEo415Rm97XfgAAAPA+ggr4PM2hKLlCUZyGEnpf+wEAAMD7CCrg8zQp25P9AAAA4FkEFfB5esqTJ/sBAADAswgq4PP02Fg95am8g2O1Xe9rPwAAAHgfQQV8ntah0GNjVcnAouha71OvAgAAwB4EFfALWodi6oArJTHGdYuTXms7dSoAAADsQ/E7+A0NHLqnJlJRGwAAwMcQVMCv6Ban9Mvi7R4GAAAAimH7EwAAAABLCCoAAAAAWEJQAQAAAMASggoAAAAAlhBUAAAAALCEoAIAAACAJRwp6wEOh8N8PH78uCeeDgAuuaK/V0V/vwAAsIKgwgNOnDhhPtavX98TTwcAXv37FRMTw4wDACwJcvA2lWWFhYWyd+9eiYqKkqCgIAmUdzE1SNq9e7dER0fbPRy/wbwxb/7yb07/9GtAUadOHQkOZicsAMAaVio8QP+HXK9ePQlE+iKFoIJ5499bYP6uskIBAPAU3p4CAAAAYAlBBQAAAABLCCpQpvDwcBk3bpz5CPcxb78N8/bbMXcAAF9AojYAAAAAS1ipAAAAAGAJQQUAAAAASwgqAAAAAFhCUAEXe/bskQEDBkh8fLxUrVpVWrVqJatXr2aWLqCgoEAeffRRSU5ONvN22WWXyZNPPmkKjOFXX3/9tWRkZJiCa1oocv78+S7To/M1duxYSUpKMvN4/fXXy08//cQUXmDuzp49K6NGjTK/r5GRkabPoEGDTFFOAAC8gaACTkePHpWOHTtKaGioLFy4UDZv3izPPfecxMbGMksX8I9//EOmTp0qL7/8svzwww/metKkSfLSSy8xd8Xk5uZK69atZcqUKWXOi87Ziy++KNOmTZNvv/3WvEDu0aOH5OfnV/p5rGju8vLyZO3atSaw1Y/vv/++/Pjjj9K7d+9KP28AAO/g9Cc4jR49WpYtWyZLlixhVi7STTfdJLVr15bZs2c722699Vbzbvu8efOYz7L++AQFyb///W/p06ePc5VC32H/y1/+Ig899JBpy8nJMfP6+uuvy5133sk8ljN3ZVm1apW0a9dOdu7cKQ0aNGDuAACXFCsVcFqwYIG0bdtWbrvtNklISJC0tDSZOXMmM+SGDh06yOLFi2Xr1q3mesOGDbJ06VLp2bMn8+emrKwsyc7ONlueisTExEj79u1l+fLlzONF0oBMg48aNWowdwCAS67Kpf8W8Bfbt283W3gefPBB+etf/2re6Rw+fLiEhYVJZmam3cPz+VWe48ePS/PmzSUkJMTkWEyYMEH69+9v99D8hgYUSlcmitProntwj24X0xyLfv36SXR0NNMGALjkCCrgVFhYaFYqJk6caK51pWLTpk1mfztBRcXefvtt+ec//ylvvvmm/O53v5P169fLAw88YLbzMHfwJk3avv322812Mn2TAAAAb2D7E5z0xJ3U1FSXGWnRooXs2rWLWbqAhx9+2KxW6L5/PYFn4MCBMnLkSHnqqaeYOzclJiaaj/v373dp1+uie3AvoNA8ik8//ZRVCgCA1xBUwElPftITY4rTHIGGDRsySxegp+8EB7v+Ouk2KF39gXv0OF4NHjQ3pYhuKdNToNLT05lGNwMKPYL3s88+M8dCAwDgLWx/gpO+s64Jx7r9SV+crFy5UmbMmGEeqJjWD9AcCj1lR7c/rVu3TiZPnix33303U1fMyZMnZdu2bS7J2bpVLC4uzsydbhkbP368NGnSxAQZekSqbiGr6JSjyqKiudNVxr59+5rjZD/66COT01OUh6L3NS8KAIBLiSNl4UJfkIwZM8a826kv6jRpe+jQoczSBZw4ccK8ANZjPg8cOGBeCGuSrBZy4wXdr7788ku59tprS82f5p3osbGaBzBu3DgTyB47dkw6deokr7zyijRt2rTS/xusaO4ee+wx8/tali+++EK6du1a6ecPAHBpEVQAAAAAsIScCgAAAACWEFQAAAAAsISgAgAAAIAlBBUAAAAALCGoAAAAAGAJQQUAAAAASwgqAAAAAFhCUAEAAADAEoIK4CLt2LFDgoKCZP369RVWP9Y+WhXa12kl6xo1atg9DAAA4McIKoASBg8ebAKCokd8fLzccMMNsnHjxks+V2fOnJFnnnlGrrzySomMjJSYmBhp3bq1/P3vf5e9e/fyswIAAD6JoAIogwYR+/btM4/FixdLlSpV5Kabbrqkc3X69Gnp3r27TJw40QQ2X3/9tXz33Xfy4osvyqFDh+Sll16qMBgBAACwC0EFUIbw8HBJTEw0jyuuuEJGjx4tu3fvloMHD5Y5X5988ok0bdpUqlatKtdee63ZIlXSzJkzpX79+lKtWjX5/e9/L5MnT3bZdvT888/L0qVL5fPPP5fhw4dLmzZtpEGDBtKlSxeZNm2aCTaKdO3aVf785z/LAw88IDVr1pQePXqYdn3OVq1amVUO/V5/+tOf5OTJk6W2O+nzFo3j8OHDpcb6wQcfmNWSiIgISUlJkccff1zOnTvHvxUAAFAmggrgAvRF+bx586Rx48ZmK1RJGmzccsstkpGRYfIshgwZYoKQ4pYtWybDhg2TESNGmD66IjFhwgSXPm+99ZZpT0tLK3McuhWruDlz5khYWJh5bg06zC90cLBZ2fj+++/NfQ1QHnnkEefXfPvtt3LPPfeYgETHoQHQ+PHjXZ53yZIlMmjQIDPWzZs3y/Tp000gUnK8AAAATg4ALjIzMx0hISGOyMhI89Bfk6SkJMeaNWvM/aysLNO2bt06cz1mzBhHamqqy3OMGjXK9Dl69Ki5vuOOOxw33nijS5/+/fs7YmJinNcRERGO4cOHu/Tp06ePcxzp6enO9i5dujjS0tIu+JN75513HPHx8c7rfv36OXr16uXSR8dWfBzdunVzTJw40aXP3LlzzRwAAACUhZUKoAz6Dr6+k6+PlStXmu1FPXv2lJ07d5bq+8MPP0j79u1d2tLT012uf/zxR2nXrp1LW8nrsrzyyitmDHfffbfk5eW53NPtUSV99tln0q1bN6lbt65ERUXJwIEDzfamoq91Z6wbNmyQJ554QqpXr+58DB061OSXlBwDAACAqsI0AKVpToJudyoya9YscxKT5kXo9qZLoUmTJib4KC4pKcl8jIuLK3OMxWkehyaT33fffWarkn6N5mjodidN5NYcCne3e2kOhW7pKklzLAAAAEoiqADcoPkMmq9w6tSpUvdatGghCxYscGlbsWKFy3WzZs1k1apVLm0lr/v162eOjl23bl25eRUVWbNmjRQWFspzzz1nxqrefvvtUmPVvIqKxqoJ2hrcFA+qAAAAKkJQAZRzvGt2drb5/OjRo/Lyyy+bd/A1GbskTcDWF/IPP/ywWcXQF/ea2Fzc/fffL9dcc405nUmfQxOoFy5c6JJ8PXLkSPn444/N9qVx48ZJ586dJTY2VrZu3Wr6hoSEVPiz0iDg7Nmz5uhZ/R7FE7iL6KlSHTt2lGeffVZuvvlm+c9//iOLFi1y6TN27Fiz4qEnRPXt29cEKLolatOmTaWSugEAAIwyMy2ASp6orb8aRY+oqCjHVVdd5Xj33XfLTNRWH374oaNx48aO8PBwR+fOnR2vvvqqS6K2mjFjhqNu3bqOqlWrmgTs8ePHOxITE12+d35+vuPpp592tG7d2vTT52vevLlj5MiRjl27drkkao8YMaLU2CdPnmwSqvVre/To4XjjjTdKjWP27NmOevXqmT4ZGRmOZ5991iVRWy1atMjRoUMH0yc6OtrRrl07M34AAICyBOl/iK8A79Pk5y1btpgjXAEAAPwZ258AL9EtR1qHQhOsdTuT1pHQ050AAAD8HSsVgJfcfvvt8uWXX8qJEydMlWrNs9B8DAAAAH9HUAEAAADAEorfAQAAALCEoAIAAACAJQQVAAAAACwhqAAAAABgCUEFAAAAAEsIKgAAAABYQlABAAAAwBKCCgAAAACWEFQAAAAAECv+H3kSYW4OOOxRAAAAAElFTkSuQmCC", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig = plt.figure(figsize=(8, 12))\n", + "fig = sm.graphics.plot_ccpr_grid(result_98105, fig=fig)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### R\n", + "R derives partial residuals from `predict(..., type='terms')` and overlays loess trends.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 75, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "%%R\n", + "terms <- predict(lm_98105, type='terms')\n", + "partial_resid <- resid(lm_98105) + terms\n", + "\n", + "df <- data.frame(SqFtTotLiving = house_98105[, 'SqFtTotLiving'],\n", + " Terms = terms[, 'SqFtTotLiving'],\n", + " PartialResid = partial_resid[, 'SqFtTotLiving'])\n", + "graph <- ggplot(df, aes(SqFtTotLiving, PartialResid)) +\n", + " geom_point(shape=1) + scale_shape(solid = FALSE) +\n", + " geom_smooth(linetype=2, formula=y~x, method='loess') + \n", + " geom_line(aes(SqFtTotLiving, Terms)) + \n", + " scale_y_continuous(labels = function(x) format(x, scientific = FALSE))\n", + "graph" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Summary: Partial Residual Plots and Nonlinearity\n", + "\n", + "| Operation | Python | R | Notes |\n", + "|---|---|---|---|\n", + "| Partial residual computation | custom helper / model terms | `predict(..., type='terms')` | Both isolate marginal nonlinear behavior. |\n", + "| Nonlinearity overlay | lowess overlays | loess overlays | Equivalent visual objective. |\n", + "| Feature-wise inspection | panel plots | panel plots | Both compare variable-specific deviations from linearity. |\n", + "\n", + "Both approaches diagnose nonlinearity effectively; Python tends to use custom helpers, R leans on compact term-based extraction.\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Polynomial and Spline Regression" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Python" + ] + }, + { + "cell_type": "code", + "execution_count": 76, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " OLS Regression Results \n", + "==============================================================================\n", + "Dep. Variable: AdjSalePrice R-squared: 0.806\n", + "Model: OLS Adj. R-squared: 0.802\n", + "Method: Least Squares F-statistic: 211.6\n", + "Date: Wed, 15 Apr 2026 Prob (F-statistic): 9.95e-106\n", + "Time: 17:36:32 Log-Likelihood: -4217.9\n", + "No. Observations: 313 AIC: 8450.\n", + "Df Residuals: 306 BIC: 8476.\n", + "Df Model: 6 \n", + "Covariance Type: nonrobust \n", + "==============================================================================================\n", + " coef std err t P>|t| [0.025 0.975]\n", + "----------------------------------------------------------------------------------------------\n", + "Intercept -6.159e+05 1.03e+05 -5.953 0.000 -8.19e+05 -4.12e+05\n", + "SqFtTotLiving 7.4521 55.418 0.134 0.893 -101.597 116.501\n", + "np.power(SqFtTotLiving, 2) 0.0388 0.010 4.040 0.000 0.020 0.058\n", + "SqFtLot 32.5594 5.436 5.990 0.000 21.863 43.256\n", + "Bathrooms -1435.1231 1.95e+04 -0.074 0.941 -3.99e+04 3.7e+04\n", + "Bedrooms -9191.9441 1.33e+04 -0.693 0.489 -3.53e+04 1.69e+04\n", + "BldgGrade 1.357e+05 1.49e+04 9.087 0.000 1.06e+05 1.65e+05\n", + "==============================================================================\n", + "Omnibus: 75.161 Durbin-Watson: 1.625\n", + "Prob(Omnibus): 0.000 Jarque-Bera (JB): 637.978\n", + "Skew: 0.699 Prob(JB): 2.92e-139\n", + "Kurtosis: 9.853 Cond. No. 7.37e+07\n", + "==============================================================================\n", + "\n", + "Notes:\n", + "[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n", + "[2] The condition number is large, 7.37e+07. This might indicate that there are\n", + "strong multicollinearity or other numerical problems.\n" + ] + } + ], + "source": [ + "model_poly = smf.ols(formula='AdjSalePrice ~ SqFtTotLiving + np.power(SqFtTotLiving, 2) + ' + \n", + " 'SqFtLot + Bathrooms + Bedrooms + BldgGrade', data=house_98105)\n", + "result_poly = model_poly.fit()\n", + "print(result_poly.summary())" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The statsmodels implementation of a partial residual plot works only for linear term. Here is an implementation of a partial residual plot that, while inefficient, works for the polynomial regression." + ] + }, + { + "cell_type": "code", + "execution_count": 77, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "0.03879128168231146\n" + ] + } + ], + "source": [ + "def partialResidualPlot(model, df, outcome, feature, ax):\n", + " y_pred = model.predict(df)\n", + " # determine columns required for model\n", + " required = set(model.params.index).intersection(df.columns)\n", + " required.add(feature)\n", + " copy_df = df[list(required)].copy().astype('float')\n", + " for c in copy_df.columns:\n", + " if c == feature:\n", + " continue\n", + " copy_df.loc[:, c] = 0.0\n", + " feature_prediction = model.predict(copy_df)\n", + " results = pd.DataFrame({\n", + " 'feature': df[feature],\n", + " 'residual': df[outcome] - y_pred,\n", + " 'ypartial': feature_prediction - model.params.iloc[0],\n", + " })\n", + " results = results.sort_values(by=['feature'])\n", + " smoothed = sm.nonparametric.lowess(results.ypartial, results.feature, frac=1/3)\n", + " \n", + " ax.scatter(results.feature, results.ypartial + results.residual)\n", + " ax.plot(smoothed[:, 0], smoothed[:, 1], color='gray')\n", + " ax.plot(results.feature, results.ypartial, color='black')\n", + " ax.set_xlabel(feature)\n", + " ax.set_ylabel(f'Residual + {feature} contribution')\n", + " return ax\n", + "\n", + "fig, ax = plt.subplots(figsize=(5, 5))\n", + "partialResidualPlot(result_poly, house_98105, 'AdjSalePrice', 'SqFtTotLiving', ax)\n", + "\n", + "plt.tight_layout()\n", + "plt.show()\n", + "print(result_poly.params.iloc[2])" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### R\n", + "R fits polynomial terms with `poly()` and evaluates nonlinear patterns.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 78, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "Call:\n", + "lm(formula = AdjSalePrice ~ poly(SqFtTotLiving, 2) + SqFtLot + \n", + " BldgGrade + Bathrooms + Bedrooms, data = house_98105)\n", + "\n", + "Coefficients:\n", + " (Intercept) poly(SqFtTotLiving, 2)1 poly(SqFtTotLiving, 2)2 \n", + " -402530.47 3271519.49 776934.02 \n", + " SqFtLot BldgGrade Bathrooms \n", + " 32.56 135717.06 -1435.12 \n", + " Bedrooms \n", + " -9191.94 \n", + "\n" + ] + } + ], + "source": [ + "%%R\n", + "lm_poly <- lm(AdjSalePrice ~ poly(SqFtTotLiving, 2) + SqFtLot + \n", + " BldgGrade + Bathrooms + Bedrooms,\n", + " data=house_98105)\n", + "terms <- predict(lm_poly, type='terms')\n", + "partial_resid <- resid(lm_poly) + terms\n", + "lm_poly" + ] + }, + { + "cell_type": "code", + "execution_count": 79, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "%%R\n", + "df <- data.frame(SqFtTotLiving = house_98105[, 'SqFtTotLiving'],\n", + " Terms = terms[, 1],\n", + " PartialResid = partial_resid[, 1])\n", + "graph <- ggplot(df, aes(SqFtTotLiving, PartialResid)) +\n", + " geom_point(shape=1) + scale_shape(solid = FALSE) +\n", + " geom_smooth(linetype=2, formula=y~x, method='loess') + \n", + " geom_line(aes(SqFtTotLiving, Terms)) +\n", + " scale_y_continuous(labels = function(x) format(x, scientific = FALSE))\n", + "graph" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Summary: Polynomial and Spline Regression\n", + "\n", + "| Operation | Python | R | Notes |\n", + "|---|---|---|---|\n", + "| Polynomial terms | explicit power terms | `poly(...)` | Same nonlinear regression intent. |\n", + "| Spline basis | `bs(...)` in model design | `bs(...)` in formula | Equivalent basis-expansion approach. |\n", + "| Model comparison | fit and inspect curves | fit and inspect curves | Both assess flexibility vs interpretability. |\n", + "\n", + "R integrates polynomial/spline terms naturally in formulas, while Python usually composes features and models more explicitly.\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Splines" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Python" + ] + }, + { + "cell_type": "code", + "execution_count": 80, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " OLS Regression Results \n", + "==============================================================================\n", + "Dep. Variable: AdjSalePrice R-squared: 0.814\n", + "Model: OLS Adj. R-squared: 0.807\n", + "Method: Least Squares F-statistic: 131.8\n", + "Date: Wed, 15 Apr 2026 Prob (F-statistic): 7.10e-104\n", + "Time: 17:36:32 Log-Likelihood: -4211.4\n", + "No. Observations: 313 AIC: 8445.\n", + "Df Residuals: 302 BIC: 8486.\n", + "Df Model: 10 \n", + "Covariance Type: nonrobust \n", + "========================================================================================================\n", + " coef std err t P>|t| [0.025 0.975]\n", + "--------------------------------------------------------------------------------------------------------\n", + "Intercept -4.142e+05 1.43e+05 -2.899 0.004 -6.95e+05 -1.33e+05\n", + "bs(SqFtTotLiving, df=6, degree=3)[0] -1.995e+05 1.86e+05 -1.076 0.283 -5.65e+05 1.66e+05\n", + "bs(SqFtTotLiving, df=6, degree=3)[1] -1.206e+05 1.23e+05 -0.983 0.326 -3.62e+05 1.21e+05\n", + "bs(SqFtTotLiving, df=6, degree=3)[2] -7.164e+04 1.36e+05 -0.525 0.600 -3.4e+05 1.97e+05\n", + "bs(SqFtTotLiving, df=6, degree=3)[3] 1.957e+05 1.62e+05 1.212 0.227 -1.22e+05 5.14e+05\n", + "bs(SqFtTotLiving, df=6, degree=3)[4] 8.452e+05 2.18e+05 3.878 0.000 4.16e+05 1.27e+06\n", + "bs(SqFtTotLiving, df=6, degree=3)[5] 6.955e+05 2.14e+05 3.255 0.001 2.75e+05 1.12e+06\n", + "SqFtLot 33.3258 5.454 6.110 0.000 22.592 44.059\n", + "Bathrooms -4778.2080 1.94e+04 -0.246 0.806 -4.3e+04 3.34e+04\n", + "Bedrooms -5778.7045 1.32e+04 -0.437 0.663 -3.18e+04 2.03e+04\n", + "BldgGrade 1.345e+05 1.52e+04 8.842 0.000 1.05e+05 1.64e+05\n", + "==============================================================================\n", + "Omnibus: 58.816 Durbin-Watson: 1.633\n", + "Prob(Omnibus): 0.000 Jarque-Bera (JB): 622.021\n", + "Skew: 0.330 Prob(JB): 8.51e-136\n", + "Kurtosis: 9.874 Cond. No. 1.97e+05\n", + "==============================================================================\n", + "\n", + "Notes:\n", + "[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n", + "[2] The condition number is large, 1.97e+05. This might indicate that there are\n", + "strong multicollinearity or other numerical problems.\n" + ] + } + ], + "source": [ + "formula = ('AdjSalePrice ~ bs(SqFtTotLiving, df=6, degree=3) + ' + \n", + " 'SqFtLot + Bathrooms + Bedrooms + BldgGrade')\n", + "model_spline = smf.ols(formula=formula, data=house_98105)\n", + "result_spline = model_spline.fit()\n", + "print(result_spline.summary())" + ] + }, + { + "cell_type": "code", + "execution_count": 81, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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0uL5jx45ZJbqVLFlSifIrr7yivABFihSR7777TmV+W8bcT506Je+9955KIKtRo4Yq3bJNMCOEEBJ6XL16VRlw+/fvV2Fd6APKdo2ELqFGCZKW6QaxDkTWm5Ya76zs217XMbxm3bp1Ts/74osvqgchhJDw4cyZM6rLGMK3CIU+8MADUrZsWTEabjc8IVkrXCeEEBJ49u/frzpTotMYPr9RteRPT6pPG57cddddqrOXvR+K5wghhBAjs27dOvn555+VSBcuXFh11jRyuNPtZDIMuUC3FlvwhhctWuSt6yKEEEK8ChzIqOpB7w9QuXJladeunSoxNjK6hXrjxo3m77du3WrVuQsZc0jAwsqEEEIIMRrp6elqPgTqpLW5FUhODlTOlU+EGtnQeEN42HNxo4HIl19+6e3rI4QQQrLEpUuXVKcxVAahyRXGJWNSYrCgW6hRswy3QalSpdS8ZnRs0UC2XP78+dUNIIQQQozC8ePHlUgjjwoGJdqBou9GMKFbqIsXL27u3EUIIYQYnR07dsjvv/+u3N558+ZVmd1okBVsuJ1MpnX9cgR6gBNCCCGBwmQyyfLly2Xu3Lnm5lcPPfSQxMfHB+Uvxe066uTkZKttrFRSU1OV+xttRVE4Hm6wjpoQQozBjRs3ZObMmbJ27Vq1XatWLWnVqpXhQrPu6IbbFjWGcdiya9cuNT0Loy4JIYSQQLUDnThxosqpAvfcc4/Ur18/KDK7fTKUwxK0XMOIyy5dusj27du9cUpCCCFEN/DmImns9OnTqi66Y8eOUr58eQkFor12ouhoNWybEEII8ScHDhxQ7UBhUcONjKSxlJSUkPkluC3U06ZNs9pGiBu1aRgn2bBhQ29eGyGEEOKUDRs2yPTp01VsulChQqr8Knv27BJKuC3U7du3t9qG7x811WiC8tlnn3nz2gghhBC7wEhcuHChuXV1xYoV5f777zd8O1C/CDXrqAkhhASS9PR0+eOPP2TLli1qG97cZs2aBX3SmE9i1FplV6jeHEIIIcbi8uXLMn78eDly5IhERkbKfffdJzVr1pRQxu0xl+D777+XKlWqqOJxPPD9d9995/2rI4QQQv7jxIkTSmsg0mgH+thjj4W8SHtkUb/33nsydOhQ6dmzpzRo0EDtW7Zsmbzyyity8OBB+eCDD3xxnYQQQsKYXbt2yaRJk9SYZbQBfeSRRyRPnjwSDrjdmQyJY1988YVKf7cE9WsQb9SwhRvsTEYIIb5jxYoVMmfOHBVuLVGihGoHCos6mPFpZzIE8evUqXPL/tq1a0tGRoa7pyOEEEIcJi/Pnj1bVq1aZR63jJi00dqBGi5GjZjAV199dcv+UaNGyaOPPuqt6yKEEBLGXLt2TXlqV/0n0s2bN5e2bduGnUjrtqhfffVV8/fI8EYwH1NJ0ENVc0sgPs3JWYQQQrLK+fPnZezYsXLq1CnV9bJDhw6qTjpc0SXU69atu8XNDfbs2aO+Ys4nHlpNGyGEEOIJhw4dUuVXmMqYLVs2lQ+FjmPhjC6hRvcXQgghxJds2rRJNTJBO1D06oZI53CRaBUOeG0oByGEEOIJyOb+559/1ANg6hXc3bGxsbyheoUaN2zMmDFqZYPvnTF58mTeWEIIIbpAtRCGPcGaBujPgcQxdB0jbgg1ar20NqH4nhBCCMkqV65cUeMpEZeGMLdq1cqcA0U8bHiCQ3FD0fQk2IvNvQkbnhASvNzINMnKfWfl5KVrkj97vNQtmVuiIjm/wNcgoxuZ3cjwRivqBx98UEqVKiXhwkVfNTyBUJcpU0Zld5ctWzar10kIIQFl9uZj0n/6Vjl24Zp5X8Gc8dKvTSVpWaVgQK8tlEHF0MSJEyUtLU2Sk5NVO1BUDhH7uBUEgGsCAn3mzBl3XkYIIYYU6ed+WWsl0uD4hWtqP54n3gcNTH799Vcl0sWKFZOnnnqKIu0Ct6P1gwYNkt69e8vmzZvdfSkhhPjFlb1szxn5Y/0R9RXb9o6BJW0v7qftw/P2Xkuy1g505syZyjtbvXp11ekyMTGRt9Tb5VnoPoZCdNxkpM7bxqrPnj3r7ikJIcSvrmzEpG0taUsgz3gexzUoHR4TmnwJrOfff/9dTcACd911lzRq1MicpEy8LNTDhg3jzSWEGNaVbWsDa67sr7rUMos1Esf0oPc44hgkS6FnN2ZJox1o+/btpXLlyrxlvhTqJ554wt2XEEKIT3HlyobdhufvrpSiMrqR3a0HvccR+xw5ckSJNMqwkpKSVKexwoUL83b5OkaNySUnT568ZT8SzMJxqgkhJPC448oGKMGCS9yR4xX78TyOI56xdetW1SgLIp0/f355+umnKdL+EmpHZdeIQbDdGyEkELjryoZVjbg1sBVrbRvPs57afaARixYtUuVX6DqGSqEnn3ySzbL84fr+4osvrMZcYqqJBhqo//vvv1KhQgXxNSNHjpTBgwfL8ePHVULbl19+KXXr1rV7bJMmTcy9Yy1B95s///zT7Mr/8ccfrZ5v0aKFyk4khAQHnriyEa9G3No2+SyFddQeA2GeMWOGbNiwQW3Xq1dP7rnnHrYD9ZdQI4lMWy19/fXXVm5uWNIlSpRQ+30JWs1hNjZ+Dv4Ahg8frkR1x44dyrVir+/49evXrdzzEHd0wLGkZcuWMnr0aPN2XFycT98HIcS7aK5sJI7Z8/lF/CfAtq5siDXi1uxMlnVQDYTP6IMHDyqD7t5775XbbrtNQokbAepip1uo9+3bp742bdpUCSC6yfiboUOHqjhHt27d1DYEG5bxDz/8IH369Lnl+Ny5rf8pMeMUNXu2Qg1hxkg1Qkhwormykd2Nj02TG65s7GMJVtY4ffq0agd67tw59Xn6wAMPqC6WocTsAHaxcztGjdnUgRBpWMZr1qxRU1UsO6Vhe9myZbrO8f3330unTp1U9qElf//9t7LIMVrtueeec9l5DfF49Gm1fBBCAovmyoblbAm2LUuziHfZu3ev+myFSOfKlUvFo0NRpJ8LYBc7t8uzEI9GJt/8+fNV9je6zViyYMEC8dWKDT+7QIECVvuxvX37dpevX7lypeqmhj8oW7c3RneWLFlS9Z996623lMsG4u8oi33gwIHSv3//LL4jQoi3oSvbv8B4Qqcx6ECRIkXsGkLB7nq+4WbpnyGEulevXkqoW7duLVWqVAma5icQ6KpVq96SeIY/LA08X61aNSldurSysps1a2b3XH379lWxcg1Y1EWLFvXh1RNC9GJkV3aoTOqCMP/1119mbyY+O9u2basamoSa63mlAbrYuX1XEef97bffVOa0P8FkFVi46G5jCbZdxZdRx4fr/uCDD1z+HIxZw8/avXu3Q6FGDIYJZ4SQcJzUhTAk8pSQxKtV19xxxx0+Ndpmu9F1ztsYoYud2zFqZHgHIv6An4uB4nC5W67qsN2gQQOnr9XGqXXp0sXlzzl8+LCKURcsGDz/OIQQYxPoGKe3gPcQFTIQaRhOHTt2lDvvvNOnIn0jwANUjNDFzm2L+rXXXpPPP/9cRowY4Xe3N9zNXbt2lTp16igXNsqzYC1rWeAYGIL2dIgh27q90V82Tx5rt8Tly5dVrBl/bLDKEaN+44031EIEZV+EEBIKMU5vcPToUeWZvHTpkqqeQdjQlyE/GGIwnP74Z43s/Ge+ZJw7JunnjkrG+eMSGZsg0cmFJSZ3IYnOXVgO5C4si7aVlyaVixim9M+buC3UixcvVpnfs2bNUo3VY2JirJ6HS8RXPPzww3Lq1Cl57733VMOTGjVqqMYkWoIZ6veQCW4JVn645rlz595yPqwIN27cqBqenD9/XgoVKqSK8wcMGEDXNiEkZGKcWWXbtm0yZcoUSU9Pl3z58skjjzyiMry9BQR56dKlKukXE7YQeoThBE+oI9KObLPabvrDi2rhUK5cuVse6PPhafw8K6V/3iLC5KgnqAM069URlo1DwgW4g3LmzKmmxOTIkSPQl0MIMRCYi91r/HqXx33eqYa0q2GsgRWQBwgoEscAEm1RIx0fnzU377Vr15RRN23aNHX+Q4cO2T0OhmDBosXlVESyRCcXkpjkghKdM0Uyr1+V9HNHJOPsEUk/e1Qyzh2RzGuXHf48iDTyjyzFG61N8RVeWD3eYW/nGLijG24vMcJRiAkhJJhjnJ6Acli0A12//uYiA13GUM5q67V0B5TSjho1Snkxz569OSBF826ia2T9+vWVpxbhRwgpLOSIyChp9MkCl67nP56qLnt275KdO3eaH7DO8fXq1avmfbbAja+JtqWA42EZLg1k6Z/HufRwQWtZf2gUAncIIYQQ48U43QXChuqe/fv3K2sTOTto25wV6/mbb75RMyE0IMLIObrrrrvUIsByfoQt/XS4nvPny6setsnFiHUjvm5PwNGsBa1P0Ztc609u293SnoA3L1vWp/XiWXZ9I3mrZ8+e8tNPP5mbnWA1hEQuDMjA6iTcoOubEKIn61scCI2ROqeh6gUzpPEV1TZwdUOkPLGev/32W2U9a90eYY2jB8ezzz6rrHN3RiPP9kF5G2LuWIzYCjgejtzxmisdAm+bo+Ur3XBbqHGDEa9A1nfDhg3VPiRrvfTSS3L33XfLV199JeEGhZoQEgp11BAtWNKwqCEinTt3vqUbpDOQ/PX7778r97bl5EJ0LXvqqaeke/fu6vtgaBiTmpqqktosxVt7oI22PTe6YYQazUAmTZqkitwtQSb4Qw89pFzi4QaFmhDirtDkTYpTJvXpy2mG6FK2bt06FZOGpxQJVii/cuaOtgRhUC327A3r2eikpqZm2Xvs02QyXKC9FRaGWuA5Qgghztubwrp+fdIGQ1jXsNXQOGrJkiVqG8lc7dq1c+nWhfWM2DMEGi2Xba1nDOcI1dbKiX4O8bptUaOtJjLhEKPWUvThJkFSALL4tDT+cIIWNSEkq+0wAxGvRowW9dGokwaNGzdWo4ydlSvBekbsGTMfLK1ntJXWrGdf9vwOFXxqUaMrGTIAsWpCOj1AthxEe86cOZ5fNSGEhDhG6lKGDmNIGjt27JhyS7dp08b8ma7XeoaLXIs9h6r1bATcFmpMzEJw/ddffzWPl0TCwaOPPioJCQm+uEZCCAkJjNKlDJ0dIdKw6vC5ja6PxYsXv+U4JExp1jNGDVtaz88884waCUzr2fdEe+qff/rpp71/NYQQEsIYYRITXNfIzIbbG8nBMLRQL2xpPcMdjrpne9YzYs/FihXz2fURLwg1Bl4gmQy/LEt++OEHlfH95ptvuntKQggJCwLZpQzpSMuXLzfPPShZsqSq1NFyjY4cOaIGHdlaz7CaEXum9RxEQo1V1tixY2/Zj0xBpPNTqAkhxFhdytAOdObMmbJ27c2mK7Vq1VLua8SmEav+9NNP5bPPPlOJwZr1jLgzHrSeg1CoEduwN6sZLUSRlEAIIcQ4k5jQwnPixImqXSbAhED01IZ4w/DCNMKTJ0+q59DECqN+IeKMPRsHt7urI7NPq7ezBPswJpIQQohjUHqFEixYzpZg29ulWSiZ/f7775VIoy4aXk/0wsbndc2aNaVHjx5KpDEEA1ndixYtkrZt21Kkg92iRhLZyy+/rBIR0EwdoFgeq7DXXnvNF9dICCE+xZ+tKf01iengwYMyfvx45c7Onj27miENKxn5RdoURCSRvf/++yoGjb7eJESEunfv3qrI/fnnn5fr16+rfUhGQGy6b9++vrhGQggJuR7cWpcyX7Bx40Y16xnubYQqUX4F9zc+p7XxksjgHjRokNUoR2JM3O5MpnH58mXVzQY1eJisEhcXJ+EKO5MREpwYqUuYN8DHOeYuwIUNKlasKKVLl1ZDk5YuXar2VatWTQ1Puv322wN8teHNRV92JtNAs3bMECWEkGB0aRupS5g3QDjyjz/+kC1btqhtxKBRBw2XNyxrzE/+4IMPlGgzUSy4YENWQkhYurSN0iXMG8DDiXg0aqHRpxtNqRCexDbo2LGjqpHOyohJEjgo1ISQsHFpo34Z++HSTsvI1HWu4xdu1hYbNUHtxIkTqh0oXKhIHFu5cqVyf2tNTUaOHKmalZDghUJNCAkp9Lq0hzxofwCFLQP+3CYJsVFuxar9laCGuQuTJk1SbT/Rl3v69OnKukYpFhLH3nrrLc5gCMc6akIIMTJ6Xdr4BuLpysY9d+W6ssIhvu5Y87bXoFnzes/jihUrVihLGlU4U6dOVd9DpNG0ZNOmTTJgwACKdLha1Ej5twfiIijTQuE83C2EEBII9A60OH0lzdwlzBnuJJb5I0EtMzNTZs+eLatWrVKJY/gebUBRBw1xRj8LtAYlYSzU7du3V6JsW9Wl7cPXRo0aqRVecnKyN6+VEEK8OvgCSWKIV781ZZOcvZKe5cQyXyeooR0oJl/BYkbvbnwFNWrUkJ9++kmqVq3q9jlJCLq+582bp8qy8BXJC3jg+3r16smMGTPk33//Va6Y119/3TdXTAghOgZfOLJXsb+gxeALxIzfva+yV6x1X46xPH/+vJpSCAv6f//7nxJpTLd65513lBucIh26uG1R9+rVS0aNGmVVLN+sWTPl9sYgcbhiUAZgOwaTEEKMOvgiJYd3xk/6aozloUOHlMUMT+Xq1avVvnLlyql9MJJIaOO2Rb1nzx67XVSwT5vOgk5l2jxTQggJ1OCLAjn0Db5w1wp3hLfOY8nmzZtl4MCBMnToULNIo2nJunXrKNJhgttCXbt2bdXv+9SpU+Z9+B5DObROZSgZwJQtQggJLNa5NI46JmtWOLAVWXfGT3rrPNq1orMYPm/hxUSPbjQswRCkzz//XDU1IeGB20KNkWn79u1TfzDI8MYD3+/fv1++++47dQxKBBA3IYSQQKCVSB2/mGa1/8TFNIclUt4aP+mN82RkZCi3NqZaISaNFqDt2rWTDRs2mKcWkvDBo6EcKA+YO3euKrAH5cuXl7vvvlslNoQjHMpBiDFAedTyPWfkhbFr5fxV+1ncEf+J5uI377Jr2Xqro5in57ly5YrqyY3BGSi7QvOSYcOGqZagqKoh4acbHk/PIp7dcEKIb7DXDcwZ456ub7ge3sePH5du3brJnDlzlOsbPSkmT56syq9IaOHz6VmIkeBx8uRJZV1bgvIBQgjJCu5ao456e3u7RMqXLF++XB599FFzUi5mSCOciEmFJLxxW6j79++v3DJ16tRRA8npiiGEeBN3+2Q76wbmzRIpX/Ltt9+qjmJwdcfFxcmIESPkqaeeCvRlkWAV6q+//lrGjBkjjz32mG+uiBAStuiZemUr1q66gTmKUbtTIuUrkCTWo0cPlaQLVzeqZdBxrEqVKoG+NBLMQn39+nWrZieEkNDEX2Mas9on2x0XtrslUr4EocP77rtP9ewGzZs3V/Ho7NmzB/S6SAgINdwxY8eOlXfffdc3V0QICTj+GtPojT7Z7riwU3z8HvSyZMkSuf/++1UPCgzQ6Nu3rwopMpRI7BHpSVN4dMi58847pWfPnvLqq69aPXwNhqCXKFFCtSxF6zwMSXcEXPT4w7d84HWWwN303nvvqXh7QkKCWtWiYQsh4Yq/xjR6q0+2q25gIFdCjPz6VD1VkhVokUb8uWnTpkqkc+XKJVOmTFFTryjSxGtCvXHjRlUqgJpptLZDGzvtsX79evElEyZMUIuBfv36ydq1a6V69erSokUL5UJyBNLejx07Zn4cOHDA6vlPP/1UvvjiCxV7R2P7pKQkdU4sSAgJN1y5nwGex3HextM+2a66geExqGNVaVgmb0Dd3YhHYwYCDJz09HSpVKmSagnapk2bgF0TCQ6Cqo4aFjTalGJFClAahuQL/OH36dPHrkX98ssvq6kz9sBbL1SokMq21KZ9oaatQIEC6rWdOnXSdV2soyahwrI9Z6Tzt8sDUoMM8W/0yQJluZs8aFQSCHe9XtD+89577zV7ACHO48ePZxvQMOair+uoAwGS2NasWaNiORqw6uGqXrZsmcPXoZ1p8eLFlajXqlVLPv74Y6lc+eZIO7RCRYMBnEMDNw4LApzTkVCnpaWph+UNJyQU8OWYRl9MvbIEYoxEM38mwOn1QrZs2VJ59KKjo5VR8NFHH4VtJ0fiPrqEukOHDsrChOrje2cga9EXYBoXXEewdi3B9vbt2+2+Bq1N0YClWrVqatUyZMgQlbGOUZzoTw6R1s5he07tOXtgkg3qyQkJNXw1plEvWp9sW8tYbxIYRNlI3cZ+++03efzxx9XCHvFoeAPR1IQQrws1rEwt0QHfBwsNGjRQDw2IdMWKFeWbb75RyRueAqveMnEOFjWnhZFQQEvMcuV+9mUNslEtY3eAB++tt96STz75RG2jFei4ceM4lpL4TqhHjx5t93t/kjdvXlXGcOLECav92E5JSdF1DjS3r1mzpuzevVtta6/DOZD1bXlOZ7110TkID0JCrTY6q+5nb2E0y9gd0F3sgQceUIOLQOPGjZVIFy5cONCXRoIUt4MkH374oYrt+pvY2Fg1Cxs9xi1Xrdi2tJqdAdf5pk2bzKKMVS7E2vKcsI6R/a33nIQEC0i2QrIWksV6jV+vvmLbttzKW+Mew5E9e/YoYwAijRh0165dZdasWRRp4t+sb5REoSwLCVddunSRhx56SFm7/gDlWfjDh+u6bt26Mnz4cBUDQowacWXEgrBqRQwZoIFA/fr11cxsZH4PHjxYpk6dqpLSUBoB4JoaNGiQ/Pjjj0q40cgFyR9bt269pebaEcz6JsHamlOzi+0JsDc6k/m7u1kggTh37NhRJbBikAZCZG+88YZKICPEr1nfGFyOZKxff/1VJWeh/AmzqJEg0b59e5+WG2CaDJoEoEEJkr3gnsZQdS0Z7ODBg1aZlOfOnZOnn35aHZucnKws8qVLl5pFGuAfCfNfn3nmGSXmjRo1UufUK9KEGB1PW3Nm1f1s5HIpbwJb57PPPlOfJfgexgLmR8P9zSYmxBB11GiFh5aiEydOVE1CwrFUiRY1MTKBqI32xIIPRtC45NlnnzXn7sDtPWrUKDVdkBBv6UaWC/nQyQutNxFDxh8tISS8a6MD2d3Mn8ADhx4Mmki3bt1ahdYo0sTbeCTUSCZDwT4ah+CPEu1DUVfsrPaYEBIetdHuDNcIVvbu3as++/79919VTYLQ2c8//yzFihUL9KWREMTtGDWSszCWDU1EunXrJp07d2ZGIyEGxt+10YHsbuYPFi9erFqAwqLGSErEptFtjHktxDBC3axZM9XtyzIhixBiXPxdGx3o7ma+5JdfflEGSkZGhirtRMXIY489xnagxFiub7i8KdKEBBf+rI12NXYS+wv6sLsZYt9IoPtj/RH11RuxcOTcvv3220qUIdIVKlRQTUxQEsqe3cQQFjXaZaLlJhLHXM2cxqxqQojx8FdrzkB2N/NFSRiqWVB+qs0xQKcxZHZDrAkxjFAjWUzL6Mb3hJDgxF+tObM6XMObJWGIzWO/J54DzLrHeMq1a9cqy/nBBx+Uzz///JZBPoT4kqCaR21UWEdNSGA7k2mzrB1lm7uaZW0PdCdEM6ejR4+qRLHnn39eVbeg6xghQVVHrYE2nuXKlfPW6QghIWTBt6tRWH31VftQb5eEoTvhbbfdpkQaXQ21VsMUaRIIvCbUmLeKhvSEEOJvvFkShlkCaF6Smpqq6qLR0KRnz56qXpqQoBZqQggJFN4oCUMUEDXRPXr0UJP5MIAICWTt2rVjz24SUDjWhZAgJpymU/myqcv169flkUcekd9//93cLwKWdNGiRX185YS4hkJNSJBi5OlU/l5AZKUkDB3GWrZsqebQY9oVBHvEiBGSK1cun10vIT7J+kZChbORbWgCgHGRN27ckHCDWd/E3xh5OlUgFxDu/myMxm3SpImaX4DBQhjbizn2cXFxPr1OQi66kfWtW6h//PFHXXe2a9euYfcboFATf+KLUqRQWkDoteZXr14tLVq0kLNnz6psbmR2Iz7NTmPEaLqh2/UdjgJMiBFxpxTJH81N9I63hFTieXRH87Ub3NX7xjjKTp06qWqV/Pnzy/fffy/33XefRz+PeQLEcDHqUqVKqelZefLkuSXOU6tWLTX+jRDiO4w6ncqoCwhbhg0bpqZdIbMbn2dIIKtRo0bI5QmQMC7P2r9/v904NFamhw8f9tZ1EUKCbDqVURcQGojyvfDCC2peAUQaDU0WLVqUJZGGm992caK1LMXzhPjVop42bZr5+zlz5ijfugaEe/78+VKyZEmvXBQhxDjzpYN9AaGVX7Vv315mzZqlttu2bStjx45Vg4aC2c1PwgPdQo0/coDMb9t4NTr2lChRQj777DPvXyEhxDDTqYy2gNATH0ayWNOmTWXjxo3q8ws9uzFYIyoqKuTd/CTMhBquIgCrGTHqvHnz+vK6CCEGm05ltAWEnvjwzp075a677pIjR46o8quBAwfKK6+8kuVOY75w8zMpjXgtmQz1hoSQ8Jkv7esFhCcCpWekZcKZnar9J8pfsmfPLmPGjJEOHToY0s3PpDTi9TGX//zzjwwZMkS2bdumtitVqiS9e/dWA9XDEdZRE+JcfGsXT5Y1B87dIsaeCJSeOvI8x5fLpnGfqth0SkqKyrFB8pi30K7BlZtfTy27EWrPSYjUUWv88ssv0q1bN7Uyfemll9S+JUuWqN64WLGi/R4hJLyxrGWGEN05eKG1hZ0jTuqUyC0zNt6aGW1pFdsTKFfx4fhNk2XtrDFiMmVK+fLlZe7cuWoKllHc/JaLmLxJcfL+NCalES9b1BUrVpRnnnlGxXksGTp0qHz77bdmKzucoEVNiHvWoisgbwVyxMlnD9WQ05fTrKzwP9YfkV7j19/yGghz4tJvZPviP9V2nfq3y99/zfU4s1sP7noE7B2vh3FP12dSWojhU4saDU3atGlzy36UO7z11lvuno4QEqI4K2FyBV5z/GKaPPrdCisr/P22le3GfaNuXJPIuZ/I9o2r1Hb5hvfK8NE/+lSk3c0T8HTREsjac2IM3BZqjH1DzXSZMmWs9v/1118cCUcI0e2idhcId49f1sr/HqlpVQYWf/28pE59Xw7t2y0REZFSruXjkty4i9Qv7Z/KFD0tS7OyaPFH7TkzzkNEqJ988klVe/jaa6+p2PT69evl9ttvN8eoEZ/G84QQ4ksr8K2pm+Xj9lXlhbFrJeflg3Js0gdy6sRxiYmJlRLtX5G0Uo0DUkfui0WLP5rXMOM8hFqIYnrW1atX5bnnnpPx48fLpk2b1Eg4PDZv3iwTJkyQZ5991rdXSwjxmgW1bM8ZFe/FV2x7G19ZgedT0yVnQow8W+yU7P+5jxLpxKRsUuTRDyVPzbsNmSXtyaLFH81r2AY1xCxqy5yz+++/Xz0IIcGHvywoV53KPMckP3z9pfw68hM1Y6BASkF5/+sJUr1KpYDXkXtz0eLr5jVsgxqiMepLly5JfLzzPzhX2WuEkMChp1GIt4TBWQmTx+eUG1Jo20QZM2Os6pZYpUoVWbhwoeE7Jeppr+ooy91XBLINKmPiPhTqcuXKObW40ZbP3mQtQkjgCYQF5ahTmSM61iokv689ave5eFOa5Fo1ShYvnKO26zVuKn/PnenSeDACeuqukdHesExev4lfoKadMSbuY6GeNGmS5M7t34k8hJDgtqBsS5j2n06VcSsPyvGLt7recdz87adUHNqS3KaLcuOvobJi7eqbx9e7T6TFSxITGyfBgi/7s3sifoGYduZPj07YCnXDhg0lf/78vrsaQkhIzou2LWF68a4yDq2/QR2qqjIsjSIZR+XEtMGye9cu5bUr0Ly7xNZqL8cvXQ+66VS+6M/uqfj5e9oZY+J+rKMmhAQngZwXbc8t60hgISrdG5aQ75fsk/LXtsum34bKsWPHJCo6RvK1fV3iyjYM6kYgeuqu/SF+/p52xtGgfhDq4sWLZ2l+KyEksARiXrSnbtmm5fPK6plj5Z9xI1WLxbjEbJK74/sSW6iCXxuBGJ2sip8/x6UG0qMTNkKtjbfEbNfJkydLrly5bulb2r59e1mwYIH3r5IQkmX8bUF56pa9fPmyTPvuM5k75ku5du2aJCbnl1wPfiQxyQX92ggkGPCG+PlrXGogPTph0/BE4++//1aj42zBP9SiRYvE14wcOVJKlCihMj3r1asnK1eudHgshoRg9GZycrJ6NG/e/Jbjn3jiCRX3sny0bNnS5++DkECgWVAQOUuw7e1EHlduWYDnLZutHD9+XJ5//nk15AefKdkKl5U8XYbdItLAaN3HAoG3xE9zx7erUVh99cV91Tw6js6M/Xg+3BdfWbKoN27caP5+69at6h9KAyVZs2fPlsKFC4svQfezV199Vb7++msl0sOHD5cWLVrIjh077Ca5YVHRuXNn1eoUwv7JJ5/IPffcI1u2bLG6Vgjz6NGjzdtxccGTSUqIu0CM76pQQH5etl8OnE2V4rkT5bEGJSQ22u11u1fdspi8h/9vfJaA1q1by9PvfyGD5u3zuVs2WAlUOCNYPDphN+YyMjJSWZvA3ksSEhLkyy+/VD3BfQXEGcPfR4wYobbR8ABDQnr27Cl9+vRx+XosKGBZ4/WPP/642aI+f/68TJ06Vfd1oBsSHpZuf1yHnnFlJLgIxcYM/qpjdTSO0pbhD1eXXBd2S+/evWX16pvlV7Cqv/jiC5UXE4q/A2+ihRfEgfgZreSJddQ+HHOJGDUEulSpUsp9nC9fPvNzsbGxyqL1ZbIZ3O1r1qyRvn37Wi0e4M5etmyZrnOkpqZKenr6LbXgsLxx/RBxxOA//PBDyZPHcVbmwIEDpX///ll4NyQY8PcHij8EyZ91rHrcspGSKQdXzZPXP/1I9uzZo4yBwYMHq+E/vsiSDkX8mRDmDfwVEw9LizrQHD16VLmrly5dKg0aNDDvf+ONN+Sff/6RFSv+f26tI7BKnzNnjnJ9a92MMGAkMTFRSpYsqT4oMFM7W7ZsSvwdLTxoUYc+jgTNV1aKPxYFWAg0+mSBQ3e05iZd/OZdXvnQ1H6eI7dsvKTL7dfXyp+/fiMnT55U/5P4f2zXrl2Wf3Y4Qs9D6FrUuoNSd9xxh3IRa0ybNk1N0woWBg0apD4EpkyZYtVysFOnTtK2bVupWrWqylqfMWOGrFq1SlnZjkAMGzfW8kFCB0+SoIJhgpHemPGweTu9MlFLi0kCW9nPHZEqdc7Mk4nfDlMiDQ/d4sWLKdJZvN++TggjgUG3UOOfyDLbu0uXLqoJgb9A031YuCdOnLDaj+2UlBSnrx0yZIgS6rlz50q1atWcHgvXPn7W7t27vXLdJPhwJwkqq0AM35/mn0WB3lKeEQt3S+dvlytrOKuLBHtZ5iUiz0qZfVNkwphRqhSrYsWKKjZdu3btLP0sQkIVj9M8/e0xRxwc/8jz588370MyGbYtXeG2fPrppzJgwACVSVqnTh2XP+fw4cNy5swZKVjQWHEd4j/82ZhhxIJdVj2vfbkocLc+1VsWPcQa7vSxT9WTN6tel7g1v8jECeMkIyND7r77blm+fLkUK1YsSz+DkFDGu/UYPgalG6iN/vHHH1Upx3PPPSdXrlyRbt26qeeRyW2ZbIZyrHfffVd++OEHVXuNkjI8sIoH+IpMU3xQ7N+/X4k+4mNlypRRZV8kPPFXYwYI4LC/duleFMCqhksa2dSeuKZd1bH60qJPv54me5fPlh+Gf6w8W6BHjx4yc+ZMho4I8WavbyRiIfhtac1u3rzZ6hjEe33Fww8/LKdOnZL33ntPCW6NGjWUpVygQAH1/MGDB1UmuMZXX32l3PUPPPCA1Xn69esn77//vnKloz4cwo/4e6FChVSdNSxw1lKHL/6oTdXi4HrBxCnbRDB3k808mQ+tWfRjluyTJxqW9Cjuefr0adWn4JtvvjFndn/22Wfy8ssvm0s+CSFeqqN2RbjOo3Yne48EB76uTYVFjDiwHnIlxsiF1PQsZ6BrWcHzth6XqeuPytkrt3YYdIYnWei7du2S77//Xgk1ksbQb2HcuHF+SxpjJjQJqzpqWNCEhAu+rk11N77tyXQkV+VfMGbdSTU55katNdb/S5YskTFjxqhqC4So4Pn6888//ZY0xsYaJFTgmEtCAtCYQW98+4FaRWTS2sMeT0dyVhPuST6oScfCAE2F/vjjD/n1119l+vTpysuGagt876+kMX82diHEcEKN+mm9+DJeTYg/8FVXLFdxcJCSI04als3rVKg1jl+4qtzptgsKZzXhnuJsYYBcD7i2f/nlF9WcCNx///3y008/qUZC/iArM5oJCQmhRlMQxKJtQ9u2+8I1Xk2ItwYUvN+2suRMiNV1vgF/brOKOWvxZLzeWU24N133qJz4+eef1QOxaYCqCyRu6slxMcqMZkKMhtv/PSitQLb1rFmz1OoZD3xfq1YtlRWOWDYeFGlCsj5yUm9JlW1imObi/Wvr/0+58yaWrnss0NH/H9PsMJgHIq21A/3ggw/8KtL+roMnxJAWNUoqMGayUaNG5n2oOUa/7GeeeUbVNxNCvBMH96SkytLFO2X9Ea//KnLER5tL09C0BLXQkydPlt9++021FUZPfsSoA9VpzF918IQYVqhRB5krV65b9iPNHK4vQoh34+COMtBzJ8XI2SvpTsUaz+dOipVzV647FHmsCdzpZ1K7eLK65kuXLilxRv98eNXgSatbt64aGetJZz9vlVIF04xmQnwyPQvDOeDWQhxKazSCftvoCnbt2jU1ySrcYB018Qe2QobWo69McD3v+cmGJWT0kpuLaHux8JGP1JTkpDhZsvuUjFi4R9e1DGlVRPatmCsTJ05UQ2zAo492kafeGiQXrovbQmuvlArJdJ3rFpMSeZM8Ol8wzWgm4cdFN+qo3RZqDKtAFufOnTulaNGiat+hQ4ekbNmyaiWN9pvhBoWaBAK9TVPGPV1fLly97nKMpqsxmBplok5LjYxtMnnib2pOPRJHu77UV9bnvlPOpaa73SDFUSmVLXrP56yxiy/niRNiGKEGeMm8efNk+/btahvTb5o3bx627QAp1KFHMHS0wjXW/nCenLcQR1uSE2Nk9Tt3m0u1XL0niGaP/yxRWyLEJLfFHJLcpzbIhAkTVCIpSq7uf3WQ/JtWwsFrnFuvehcH2rnExfnsWeYIEdxfo7A0r5RiyN8jCU8u+qIzmSUQZPTExoOQYMaeeMESc2V9BvL63BEak5s14Xh/3RuWkO//c5VrxEmGNIndI6e3LJHvp01TSWQpRYrLu8N/kE9XXXW7QYr2vuBu11s+5qoG2pFlfu5KuvywZL/cRpEmQYpuoV62bJka/3jfffeZ96GJAQZcoD0g6qtRmsFhFiSQQACW7zkjy/aeVh/rEKb6pfLYFTd71hf6atuzUAPR0cpVC0wInTNrGuB5d+uFYXlaCnVyRKo0idohy+bOkBUrVqh9CaXqyA8Txsnbs/a6PJ9tzbK996UXRzXQbHJCQhndQo16yCZNmpiFetOmTdK9e3d54oknlOt78ODBavoUmhsQEgggAH0mb7ISrxELdyvxHdShqpXAOrK+HAmfvzta6WmBmZaR6ZN6Ycus6ZJRZ6Ra2haZMm6CHDhwQD2f8/ZOUqHVk5IjVy6nWef2rkFvPFrv+TTY5ISEMro7Eaxfv16aNWtm3kYzg3r16qn50JgT/cUXX6hSDUICgRZbtSe02IfncAzwtK2mpTWnncfZfGhP50e7sg4Bns+bLc4n9cJYhLzbqpw0iDkgpU8ukh9GfaVEOjI2QfJ3eEeSG3eR99tVkdOX03SfE9fgzXamtu+JTU5IKKPboj537py5HAugDOvee+81b992220q+5sQf8dswfvTtrh8rWYNu7K+XIGf7cotnZXJTXqtQ3zji3ph/K8fWj5Tzq+ZIRP+6zYYk7uI5OvwthQrVdb8HrD40EOepFh1DVm9787eE5uckFBGt1BDpFGKgZKs69evy9q1a6V///7m59H8ICYmxlfXSYhD8et0W1E5ftG1dadZw1ltHbn/dKoM/2unQ7f0M3eUlFH/7vN4cpPe6zt9Jc1p1zJs4964Ayo54C1DffTWrVvVviYt2sgz73wqJQrms0pm01zkrsR3QLsq6jVZve9asAHv2Tb0wCYnJJTR7fpu1aqV9OnTRxYtWiR9+/ZVLUMbN25sfn7jxo1SunRpX10nCXO02KatKED8hv11cwCEHpDR7WnrSGXN5YiTcSsPOnRL4/Hton0OnwdYbDhzg7tjHTrqF66Be4PyJ83t7wj05kcf/88//1wlhUKksfDG9oJZf0jnRhVU8palQGrtTZ1F65+9o6S0qlbQrff1YtMy8krzcpKSw3EPdFu0awERbgg8IcGA7jrq06dPS4cOHWTx4sWqdvLHH39UjU80EL+uX7++fPTRRxJusI7atyVH7tTa6nHDLuvbTO4cvNDpiElbtKt7uXlZtxYGzpqQOMrE1t6vK5f24jfvMt83vGbEgt0y7K+ddo/HeV5pXtZuly/8/cKCRn9u9O2GaGNuNHJOkIfiCke1yx+2qyKtqhXy+H15UpqWlZADISHT8AQnhVBHRUVZ7T979qzaHxurbyxfKEGh1o8nH6R6O3DpRevU5aixhz20a0Smda/xrtt2uuLzTjWkXY3CHrXAtCe6wJ3FjPZ+yiakKlc3RBleMdC6dWu1EM+TR39Jl15R9Udrz2BoVkPIRV82PMGJ7ZE7Nxvck6yXHOFD2l5Pa2+C88ZF6x+9+G7rivJEw5Lqw15vApUrXLmBHQ3iSIqLEiytLa16LU7vjsfhxIWr8s346VLo3AZlTZ86dUotvuER6927txpN6Y7g6Wmm4ux9pXjR6tV7LYQECx51JiPEXfQ2pMjMFBnw561uVD08UKuITFp72OVxeZPi5PVJG3Rfe97scbckULnjNtebiW0rjMhQ17LUEVv/bfVhuZyWccvr3I3Tx0u6NI7ZI8fWLZRRc+aoLmOYdgXLGkN3fO1CdjXakxBiDYWa+AW9JUfPj73VHa2nqQbEfED7KrJ492mHFrgmkvjGHevT0vrVkpbccZtb/nxHSU3OhBGgBaYj3FkwFIi8JLelb5J5UyapwTqgbqOmMm3SOHP5pV7PR1ag1UuIfijUxC9ktTRHw14Zkibmd332t7SrUVCVRjmKgUL43GnUUdCO9QtrEC7oK2k33Lp2R+5dZ8KIBQE6q2UVDNSoHn1Mkvb/K2OmTlFtfyOioiXXnd2kz+B3zSLt61acjB8T4j4U6jAikB+SnpZE2ZKcFGs1ttBW2CDSqGOetuGYwxioO3Fme9Yv7qFekX6xaWkpWyC7w/utpwuZq37erkiU63J75A7ZMv8PWb78ZlJeTJ6ikrdtb4nNX0pScib6pRUnM7IJCYBQHz58WPX3RuIJMTaB/pDMamxX4+17K8hHs7bbFWvN4oNI/9O7qaw5cM7uokTPteDIJ24vITkTYpWYWgqsO96BhmXyORU0b3TrckaRyPNS4fwKmf77BDl58qTal73WfZKrSTeJiom7JV7+19bjPvGQ+MOdHuzQ20B8ItSVKlVSPcBLlSqVldMQH2OED0kttmuvi5Yjd7Y9zl9Nd2hRW1p8EGlHAunsWizPM3rpfvWwXdDo9Q5orTP9ERKwJVpuSO3oQ3Jp7Z8yZu5cVRsdlZhDcrd6RRJL32Y3Xj5z47Fbxlt6w0PCyVbGX0gTY5MlU9jNEmwSAPQOeNA7MCIrOOqihe3/PVJTfTA5csRjP57PrXMQhSsB1K6lQA7X59MWNFp3L80id4XWOtMfIQFL8kVcliZXl8jqcUNl1qxZSqQTStWWgk+OVCJtr8vXzI1H5cVxrhPktN+DO/3D3XGnhyPOuu5Z/t2R8IUx6hDHaOP/nJXmREZGOLS4AawLuKL1gBIsxKJdx+Ndx+jtJVFpFrmj5c3TjUuYW2c6A9eFjHW94yKdESmZUi3qqNzY9Kf8PGeO6skfER0jyXd2kzJNH5ChD9dUiXS29wNC8PzYdbp+hsmDVpycbOUYehuI14X6p59+stpG/eXkyZMlf/785n2PP/64O6ckPsaIH5KOSnP0NMPAB5uriVE5E2PktYkbrMq0bN2I7s5Ftl3QOLpWjRkbj0vt4rldui1xL+6vUViXy9lZiCB/5GWpmrpB/pnxm+zZs0ftiy9cQfK0ekVicheW/u2qSMMyea1eg3u5fM8Z6fP7JtFLYmyUWqy4AydbBc9CmoSAUI8ePdpqOz09XSZNmiQJCQlqOyIigkJtMILtQ9JVMww9se6bWdLpDuPxOL+nc5EtFzS4VjRosVf77U78v3mlFF1C3bpqQZmxydoNGisZUjPqkFxaN1N+mT//phUdFSO57nhMstdpJ4WSkxyWhDlaZDgj9foNt0UjEJOtgiUxy4gLaRLkQr1w4UKr7ezZs8vYsWOZTGZggnH8n6tmGBAdlGCpKVU2byopNkquXL/h1H2dPT7G40zr05fSzFng+IouapLFmmM9vyPE0lcfOGf1E0pGnZNS51bJ3OlTVAUGuK1uXXllwOeSmL+oQ4Fy15uQVdFwtbjy9mSrYErMCraFNAkMrKsyCPjQR0z1j/VH1FdvJXeF4vg/fBCjXtr2FmHTnkhbPo8P76z06x7w5zbz2Eh3k6Qc/Y71/I461y1mduVni0iTuyK3Sebi72TMNyOVSEfGJkjuu5+TYb/MkM731FcDP2zHUmrX4Kk3ISui4SyR0JtVB8GWmKUt0lwlURppIU38D5PJDICvLQB/DELwl3vSG0LjXtPNW9E+9J9sWELX8bP+E3XMsXYUN3f1O8LUrgjJlCrRJyTnwcUyfdafavQsSCxTV5Lvfl6ic+SV005K13DvxizZl6W67ayIhq97fAdjYpa/vQ0kDIX6rbfe4tSsIKlxNtogBE8XJ95oEBIVGZml5ivah/6U9Ud0Hf/TsgN299v+jp39jmYt3yx3XVsmy+f9IVu33nS3RyflklzNe0hi+YYqP8SZtetpTNqSCC+Ihjd6fDta4AVrYpZRF9LEOLg9j5p4bx41PnCczRDW4seL37wrIILqq4QcR4sTPTOJ4Tb2xjzoZ+8o6bAnOLY71iokv6896vI8uZ20NNWDq9/x1atXZfbs2TJixAhZtGiRSuCUiAjJXrO15GzcRaLis7k8T1Zj0iA5MUYGdqgacNFwtsDTOyvc1SzwQBEsCXAkCOZRE+9hZAvAV+54vQ1YHLknvZVUM2H1Yfmic03pN22LldBC7NpWLygTVrkelwmupbs3mEPv7xjr5y1btsiwYcNk6tSpcvbszTh3QpGKknz3cxKTv5RTF6n2oX/8wlUVV8+KSGMAyYq3mkusGzO8fSFCrrxPLzcvG9SJWZwoRkImmWzkyJFSokQJiY+Pl3r16snKlSudHj9x4kSpUKGCOr5q1aoyc+ZMq+fxgfjee++pebwoM2vevLns2qV/tm8olmb4MiFHj+vaWZcqPck3ibGu/6xRwmUr0tnjo6R1lRRlaaNVqd5yJW9g+Ts+cuSIfPLJJ9KxY0f54YcflEjny5dPfvnlF/l95l9SrOzNxDNHCVn4/cBT0/nb5fLKbxuyZPEDDCBBS1ZPBfrzv3ZJ7QHz1PXA4sVXLSHPmws85ACk5GBiFgk9gkqoJ0yYIK+++qr069dP1q5dK9WrV5cWLVqYhw3YsnTpUuncubN0795d1q1bJ+3bt1ePzZs3m4/59NNP5YsvvpCvv/5aVqxYIUlJSeqc1675XhxtV/aOohD+tAB83XJU76Lj20U3m3bYoidDukKB7Lp+hq2AXbp2Q75bsj+LqWaegd/x+fPnlTDff//98vbbb6t50VFRUepvfsfOXVKqfku5fsMkQx6oLr8+VU+5cMc9XV+5u20buXh70Icni0VcS+0P58mwv3besvBxd9Gnx/t0/GKayo4PpQoHQoJOqIcOHSpPP/20dOvWTQ0EgbgmJiaqDzd7fP7559KyZUvp3bu3VKxYUQYMGCC1atVS8T5NGIcPHy7vvPOOtGvXTqpVq6a6rx09elS5Gx2Rlpam4guWD0+wtA4zLp6UkxPelat71wS0NMPXfZn1Ljr+3nFKrmdkul3qg/rqtYcuSDCRLyFCTm1ZIg888IA899xzsmrVKsnMzJT6je+Sdes3yN3dXpdWX602W6SPfr9Ceo5bKzH/JWZZuruznhFvn7w6e6xrQIAxS9vRiE53F316Fwol8ib6pQwsVMo3SXAQNDFqdFxas2aN9O3b17wP4zXhql62bJnd12A/rBFLYC1rIrxv3z45fvy4OocGgvtwqeO1nTp1snvegQMHSv/+/b1amnFp9XS5dmC9pJ85JIW6jzQnCfnbAvCFO94yPoke3NniouSyi3nO+Bz6edl+6d7Y/mQ2exnStYsny52DrZvyGJkoyZSyEcckYvVMeXTIfLl8+bLan5hSWrI36S7HileTxyYfkfOpt3YtQ29w9Od+9vB56duqku9HZrqhC9qCQc8p9eZguNMYBOcyUoVDODVwIQEU6mnTpuk+Ydu2bcUXoGYUU4AKFChgtR/b27dvt/saiLC947Ffe17b5+gYe2CxYLkAgEVdtGhRD97V/1uH7yWIrNu9QjLOHZWz87+Vqo/0Dcg/ot4PRAiupx8yUTo/Lw+cTXUr+QaWhi9nO3tToMtFnJDonfNk+b8LzPXQcbnySfbGT0hixcYSEXHT2eXIItX45t99Ur1IshoA4stchtNX0nQf6+6Cwd512yafYRHmToe9UEnMMsKIWhIkQo24rh5QywkxDXXi4uLUw1vctA5byfeVvpPnOt0nVzbPlzcr9gzIP6Dmjnf1QYuhF++3db6QcPQhc0OndVY8d6K4w19bHS+u/Ik2GCQ+OsqqwUmU3JByESclZtdfsuyf+WaBjklIkmwNOquSK0y7cpd3/9gsLaqk+DSXwZ1zu7tgsD23IwsS2fhI9AuXxiDB2MCFBDBGjXiZnocvRTpv3rwqsebEiRNW+7GdkmJ/mg/2Ozte++rOOX0F/tGeefBeef3119V2jx7Pmj/I/X0d+EB0xYmLzpOBshovxefOYw30df7Sfp7eBiS+RPu4HNShqizpc5dK9nq8XmGpFHVUquwZK2u+f0um/z5B/W6j45MkuXEXSXl2tOS4rb1HIg3OXLmurE9XGfGevh938yTcEXXbczurOIBIIwch1OLPjuAcbxJ0yWSxsbFSu3ZtmT9/vnkfFgfYbtCggd3XYL/l8WDevHnm40uWLKkE2fIYuLGR/e3onL4GsW8kymGx8MILL/j950Pwpm1wnYnrKhkoq/HSO8vlc6tuFz/PGzOds4qlaNzISJdrBzfK5l8GyMpv+sq0SRPk1KlTEh2fKLkaPSIFe/wgOW7vJJFx7nkOHFmxzjLi9eCtTGm9CwbbTmd6Kg7wt/lP76ZqAWQv6z2UMGr5JgmSZLIrV67IP//8IwcPHlRJXpa89NJL4isQF+7atavUqVNH6tatqzK2cS3IAtdmYRcuXFgle4FevXrJnXfeKZ999pm0bt1axo8fL6tXr5ZRo0aZXfUvv/yyfPjhh1K2bFkl3O+++64UKlRIt7vf26DeG5nnSGj77bffpEOHDvLwww/77OfZxgIzTSbdAussGSirHx6NbGYnB8uHFUqnbiueQ3UTQ9UBuonhbxRExyVItjrt1fjJyP+SBb2FZsW6mpPtKLb7butKahKYN1pYOutf7azTmV4LEjXdoRB/dgUnaxGPhRr1yK1atZLU1FT1AZQ7d27lxkOZVP78+X0q1BAsWCRoUIJkrxo1aqgPRC0ZDAsHZIJr3H777WoMJ8qv0JccYoyM7ypVqpiPeeONN9T7eOaZZ1Qda6NGjdQ5IZiBAp4D1NF+8MEH8vzzz6vFhi9c8fZigYkxUW6fx55IZjVemtumHMhVZ6v9p2+KYSBJlOuycObv8ubEn1UjHtXu878Qy31dnpW5GZWV9WyvZWmuxBi5kJruUajA1n1smxG//3SqDP9rp3rOUWwXr0Gc21uZ0o4WDLkSYqRbwxLy4l1lbzk3LcjgH1FLDNLru0mTJlKuXDlVw4xSpg0bNkhMTIx06dJFWbCwAMMNT3t9OwOeivr166uF0X333acy77XBC97AG/2fNeB+tLVwtD7mng6+sDwnrvX9aVtUQwuNlBxx8n7byjddzJkmaThovtXz/iRZLkueg//IobULZNfOnebGNVgYYpGIpjv4H3FWZgPw+wD2hNwReF5PfDZQJT7utA5F1j5qxT35ewtVtP9TR4usUIzNhwsX3dANt4U6V65cKoZbvnx59T3qjdFMBPvglnZUKhXK+EKowaZNm5SbH6I9evRoeeKJJ7zSP9nVMBC9OBsEgZ8xYsFu1ZXKXQpanFNrnOGIr7vUkpwJsbo+4L1dYlXw+iHJ3DxHdqxZbO7FDXKWqCxxtz0kJWvcbl5M6PmdORPTzEyRd/7YbNVNDc+927qiJCfF2T2fvRInuI2NWlvsanEX6CE1gYJ11KGJT4dywDLQ3MtwdcPdDKHGDzx06JDnV01uAb3JkVyGum14K5o1a2au187KP683GmM4SzTKykhFywQjfHD3mbzJ6fF4vl+byuIfTJLbdFlyHF4ipzcvkhVbt0hGRoZ6JiYuQXJVbSIxNdpKTJ6bv6MTF9NuqXV1Vt/rahSprWv63JXrt8SVLS10R38ftpOjjDK1ibOZg2NELfE/blvU99xzj7LsHnnkEdXOc+PGjSou/fPPP8u5c+eUZR1u+MqiBhCCxo0by/Lly+Xuu++WOXPmyJwtxz0eE+mtUZGOFgWuXOq1i+eSNQfOOzxvm2op0rzSzZrgjBuZ8tgPzoeugLdbVZSPZm4TXxEv6ZL/3BZJ3fKX7Nq01qplbM4CRSWx1n0SXaGZRMbG+80K9CR0Ye/vw4jWmhGviZCgcn0ja/rSpUvStGlTNQwDmdYYfoF4HHpuY1BGuOFLoQY7duxQiXMYFDLok09k6o3aWZphrTcWaI/H6heTlpULqh90+nKa1epej0sdl6S3TXFSbKRcuW6/37clzzcpJVPWHfU4Hm4PNCfJf2mXZO78Vw5vWyNHj/x/jXZsfKIkV7pdIivfKzEFy+nKHfBmXDUroQvLv495W7O24PMlRrHyCQlK1zdiphpwfSNDmvgW5AMMHjxYevbsKX3efFPytuktSZXu9Lh/st7uY/aAIE7feMyqtaVm7SBW7Oqc7swS0CPSIDIi0mU5kB6i5YbkPr9DMnYukmPb18jyY0fNz6GlZ94y1SSq8j0SW7qB281JvFk+lpXQhfb3sXzPGUN3vQqVFqCEhNVQjnAHzU8w9vDLL7+U038Ok8jEnJJQooZHwqDFAp0laTnictrNmKy9vsNPNtTfScybmMQk2eNipFezsjJm6X6rkYpYRNxXLUW+XXTrYAsQf+OKJB1dI+n7VsnxPVtkj8XIVFjKeYqVk9hyjSSyfFOJSsrl8TW6W67mzKI8fuGqZJVle0/rnpJGwSQkyIQaTUGcufr27t2b1WsidsA9HzZsmGzedUAWzp4mp6Z8JCmPfCKxBexPl9p14rJycTtyGcKliYxpJGO5GvzgCs0CC1QLz5EL96iHJZb1uhAbTahjJUNyXdonN/atkPN7N8q+fbutmvbAcs5XorwklG8oN8rcKVFJyVm+PiwWkHGN34el8AJ7YuwqRms7R9szIoKqkQwh4YzbMWp0W7IETR1Q6wsXOOY+9+nTR8INX8eoLbmSelUKVqkvl/ZtVCKS8tgQic5pPf3LEldJOFoZ1egl+6wsUU/JnRTrJSHxjhSN7FxNdm5aK7/8NlWuHNosJw7sUUmPliQkZZM8papIZMl6klmirkQl5PTqdbSqkiLLVYvT/78vaHACbEMI2uAJZ3Hjq+mZ8soEz5IBtRj1kAery6PfuU78DKeaZUJCJpnMESNHjlSJZqj3DTf8KdRg0tLt8kj7eyX91H4l0gU6f+xQrF0lBmku1rlbjsnopQeyfG1wf/+wxL6b2R9EwA1+YZ9EHV4rqQc3y8mDu1XHOatj4NIuXFKylaolmSXrixRAQpjx2967K7L2Xq/9LSD2zJplQkI0mcwR9957r6r3DUeh9jfZcuSUso9/JDu/f00yzh+X47++Kfk7viuxBUo7dEujs1f2+BirTG1k/Xpa7+wICAB+3vd+EmuTKVMSL+yX6MNr5erBzXLq4C7Zf+GC1TEQ4TyFiklS0UqSWaSWSJFq5laewZRHrMWN8Q0scmchi8TYKMkRH2M1ZtO2d7ejBLxQHRtJSLDiNaGeNGmS6vtNfIu5fjY6pxR45BM5OeEdST9zSI7/8obkubenJFVqcstr8CGM9pqWVpirD3pPwDm12Kseoe5Ys5D8vu7/M6v1AAdQ7Nm9En14jVw7tEXOHNwpBy9dsjoGDXkgzNmKVhIpWlMyCkGYk24+J8GPnrhxXHSk/PtGU6edyBz14/Z0GAchxCBCXbNmTatkMnxwYkAGhmX873//8/b1EQv3NLJ9B/y5zWz9RGfPIwW6DJbT0wfLtb1r5PT0IZJ2bJckN31SIiKdD9fwtkhr54SVDqva1TCBnIkxMlmHSMNijji1R2KOrJW0Q5vlzMFdknrlstUxkZFRkq9wMcletKIS5uuFakhEbIJoxV2hIM6WINbt6vd3LjVd15Qpdr0iJASF2nb8I6yXfPnyqWEdFSpU8Oa1ER3tOKPis0n+ju/J+cVj5eKyCXJp9R9y/eQ+ydfuTYlK9G5SFMAazVlWw2sTN8i6dws4rWtW2ybH9c4Rl05K9IHlkrZvrZzat1WuXU21ej46OlryFymuhDmiaHW5mlJDJCZBNOnypbM2e3yUXLp2QwIZo7adLJbVjG3WLBNibLyWTBbO+CqZzN02kak7lsrpP4eKKf2aRGXPqyzrxAqNvTJ1C+VOLzQto6tVZ7a4aBnyYDX1vb3yr+jICMmw6HwSmZEmcUfXyI19q+XM3o1y9uTxW/rLFyxaQnIUqyARRWrIlQLV5Ua0f8aQ5s8WI8M61TLH9hHz9TTj2hu4M4SEGdv2YdczEpLJZJa9jV3hj6zncPkwcdQ5yhGJ5W+XlNyFVY11xrmjcnrapxK7aqoS7Pii/z+D2xMGdawqaRmZupuiYIHxzB0l7bpoM29kSI7zeyRz/0q5uG+DHN2/2zy7WaNAoSKSt1QViSlZW1IL1JC0qASxjkT7h5OX0yUyIsI8yAK10IECGfXaWE/OKfYM9hEnwYguocY4S71W2Y0bgXELhhqetomMz19cCj7xhVxcNUUurvhdrh/bKSfG9pGEsvUl+c4nJCZPEbfP+cTtxZVAuCNSWGCMWrRXEtBgJPKqZL9+VtIOblQW85E9O2Tfeeta5qRs2aRAqUqSULKWpBevJ2kJ+cQ6Eh04LF3IWWm/mlUQ+/d0yhStSMceKq2zHmc7k6AW6oULF5q/379/v2pqgglaDRo0UPswk/rHH3+UgQMH+u5KwwzLsho9aB/JIzrX/G8+cX2JSO0rT7/cR06unilXdy2Xq7tXSlKVZpK9VmtVyqV38TVxzWFJToyV55qUUS5we41R0PErOfKq5Iq4qr7muHFJrp3YI0cP7JXdu3fLykOHJBNDlS0SwPIXKyU5StYQU4m6kpavvNyIiDSMODtq/2kpkt6IGb3YtLSUzpdNJQlibKWzOcxaRr27Gdu0Ip17qIzQ25wQr8aoMRP5qaeeks6dO1vtHzt2rIwaNUr+/vtvCTd8EaP+ftFe9eHtjbGT3YdPlXN/j5are1aZ90fnLiyJ5RtJfLGqElewnKor1lN+dUepnLJ0y34lxjeF+ZrkikiVG5fPyrFjx9R8cswlP3LkyC3elaTk/JKzVDWJLnmbmIrWlMhY1z8TxMdEqg9SdOTyN7mTYuTd+ypLSg7r8ibcV9Smo+wtK2hxZM3aEwcWsquGNY5KsBxZkUaYkOVP9E6MY1yfhERnssTERNmwYYMaa2kJBkZgFGNqqnWGbjjgC6GesvawvPLbBl1jJ1tVLeR0DKBmUe3bslYurf1Tru5aJqYMizafEZESk7eYxBWuIDG5i0pUjjySlC2n5IiPlBzRmZIrOkMSMi5LfMZliUi7qN6n9kDXrxMnTsjVq7cOiohOyC6xRSpJfIlaEl+ylsQkB7cg2C6Gluw+7VGHMA38ukZ0riWtqvlmNrSrcZi+mpVtRPTOYP+8Uw1zPgIhQduZrGjRovLtt9/Kp59+arX/u+++U88R75CSM0HXcRBpPbWy8Dq/cS1D4otUksy0VGVdX929XK4f2S7pF0+pdqR4aJx294Ih9rkLS2yhChJfpKLEFaks0cmFvJJxbhRsY5nIBM8KSHx/Yexa+Sry5vm8XdPsKs8hnCZk6Z1e5u6UM0L8gdtCjQlOHTt2lFmzZkm9evXUvpUrV8quXbvk999/98U1hiV6kpYK2sQt7QGHybRVu2XQ1NVSKCJNckRfkxyxaZKzZh7JUau5REY0Uyu7w4cPK3c1LGRsX7p0Sa6nZ0h6RoZyYUdGx0pETJxExCZJZI78Ep0jn3pE5cinrPGYPEUlMkZffW+wYhvL9NaHumVs1Js1zXrrqMNhQpb2/+SsCY9tHgAhQSvUrVq1Um7ur776SrZv3672tWnTRnr06EGL2ou4SlqKsMjsRZIW3Cdnz541PzAhSvseQtvSgYammyLlerYUiStXQvKUjZeozHiJNiVIjClObnjY0wtx3bNXvN/5zAhYWqGuPvzdPZ+3rVpakf+PJ5nyhAR1r2+4uD/++GPvXw2xwjKz9/iFVMkWcV1yRKRJkcQbclfJRDm7caGM+PumKFtmVNuSaYqQS6ZYuWiKl0umOLmYGScXTPFywZQgV0wYt+i9DydkMb/UrJzcOXhhlgTM6MAK1T78e/yXBJbV89kjK2VVtCKtYW9zEtJCvXHjRqlSpYpqF4rvnVGt2s2OVMR9YPlaWsLao3PSWTmffl65sW8eKHJ8t4hl/66oqChJTk5Wg1EsH2uOX5c3p+8Rk5/mRDUsk09ioyPN1kuoolmr+PB/pXlZGfbXLq+cz5KsJpfRirwV9jYnISvUyObG4I38+fOr75EgZC9ZHPvZ8MQzli9fLnPnzrV7X82/rOhoswBDlPPkyWPezp49u1pI2XJSzohJ9oqvsY3x4QMRncm++XefGJnkxBgZ0LaynLiUJiswl3vrCV2vO3MpTZX8wNJNv+G538BRbNRbzTloRd4Ke5uTkBTqffv2qcEb2vfE+yQlJSmRRl9rTYBtLWSIsbtZ1N6Io7rCXowPLttpG46J0cE9/3DmdrcbzLw0YZ3K2vYG9rqIebM5B61IQoIbDuUwSB11Wlqa6ncNwfZ2SZOjZhrewtIdq8VUl+w+JSMW7vHBTwsdHLmx2ZyDkNDnoi/rqNEqNG/evNK6dWu1/cYbb6iOZJUqVZJx48ZJ8eLFPb/yMCYuLk49fIEj9yfagSLTeNZm62lVeunesIQ0r5RiTnByNZIzHNEyjBHHLpY7Uc2SxphK205nnpRLzdp802ORlVprQkgIWtTly5dXpVl33XWX6vGNlqLDhw+XGTNmqBjq5MmTJdzw1ZhLb2MvgxjbelorOrIIta5W7o7kDBc86Sym16LOys8gxoEDU8KTi760qNHHuUyZMur7qVOnygMPPCDPPPOMNGzYUJo0aeL5VZOAJNFkJYZtWU/s7kjOUAYlamULZPe4s5i7vxNOfwpeODCF6MHtjhbZsmWTM2dujjtElvLdd9+tvo+Pj7fb75kYG62Ex1NgnXs6ktMeoeDARYka+kVjUeSJS9ryd6Ln1ZqYY7EE64wEB5oXyvZ/R1t44XlCPBJqCDOmZ+GBDmXoVAa2bNkiJUqU4F0NQrQYNqw4d4HV6M0WlL2a3fTWZIWcCdHy61P11ICFV5qXE2/iTHcjdLZ1ded3gtItdzucEePjKrMfcOFFPBbqkSNHqjnUp06dUr29UUoE1qxZc8voSxI8QBgQb8aYvycbllD1xXrGXkKU8mbLehJcnqRY+bpLLenZrJwSO0d6iP25EpxHbJ5sWFINzMibFCfjVh50+bMj3GiN+nmnmup429d4uw0lPshzJsTKGy3Ky7utK8pj9fUlaYZD3+5QwJ2BKYS4HaPOlSuXjBgx4pb9/fv3590MkRg2Hn3urSi1BsyTy2kZDo+HHM3ZfFw+mLElSz83W1yULOvbTHU0A856MqttB+VrWDgAd7uEJSfFqmxsR2g/7eP7q6oFTUxUxC3Z7SleTOiyF7fEIkEPnP4UHHBgCvF5r+9FixbJN998I3v37pWJEydK4cKF5eeff5aSJUtKo0aNPDklMRhrDpxzKtLgXGq6PD82621CM26YrKxQiN3IR2rJO39sthLQnIkxcj41XT3s4Wi/K2CxYqwoPjz3n05VVrhlAxRbEfZlAxFH2fOuhpxw+lNwwYEpxKdCDXf3Y489Jo8++qisXbtWNeoASDHHoI6ZM2e6e0piQPzpQr2WkSnL95yRhmXzmsVqwJ9brUQ6OTHaZ1nlEGnLbPgX7yrjUoR90YbSWdzSEk5/Cn44MIX4NEb94Ycfytdffy3ffvutanepgfIsCLevwHAKLA5Qbwb3e/fu3eXy5ctOj+/Zs6eq+05ISJBixYrJSy+9pBYUlqALmO1j/PjxEu7424W6bO9pp5mw51IzPLaY3U3+0kQ4K5nbnqA3ex6uektg8evt/U2MgbPMfo7dJFm2qHfs2CF33HHHLftRuH3+/HnxFRDpY8eOybx581SrzW7duqn67bFjx9o9/ujRo+oxZMgQ1TXtwIEDamY29k2aNMnq2NGjR0vLli3N21gIhDv+6BFuTYRui9I7P01f8pc/m1Ho9WJYuup9fU3Ed3BgCvGZUKekpMju3btvKcVavHixlCpVSnzBtm3bZPbs2bJq1SqpU6eO2vfll1+q0jAIcaFChW55DcZywk2vUbp0afnoo4+kS5cukpGRobqoWQoz3lc4Y0+QXCZ1eRHojDfrsV2hJ/nL380o9HoxbF31JHjhwBTiE6F++umnpVevXvLDDz8oNzEsVLQSff311+Xdd98VX4DzQ0w1kQbNmzdXYx1XrFgh999/v67zaK3aLEUavPDCC6ouHAsNWN2w1p0NxkBcXovNa63gghlngmSvRzhEDlbdW1M3e80d/cWC3XLFRfKap+A3WSBHnHz2UA1VtmXPCrVdqOC4nuPW+bULGOOW4QnHbhKvC3WfPn0kMzNT9fhOTU1VbnAMk4BQIybsC7RZ2PZmM+M5PZw+fVoGDBig3OWWfPDBB6pveWJiouq09vzzz6vYN+LZjhg4cGDIlKPpmXuM+mpbaxtAqJ2RFBclHWoWkZ+XH9B1LVPWH/HoPVha+I4Srd5vW1kalrmZrGaLO8NEPBkz6W7c0pEXw5t12oSQEE4mg6X59ttvq2StzZs3y/Lly1XzE4iguy1EIfr2krksH9u3b5esAosX074Qq37//fetnoMXAIlwNWvWlDfffFNNAxs8eLDT8/Xt21dZ59oD/c9DuTsSsE2ugnC7sqavpN2QEnkSdV8PSpByJ8U6b3aSGKMmT1kCCx/NUr6208nLVaKVo+Q1Z/iyGYWjjmRMGCMkfPGojhrExsYq4QNwAw8dOlQ+/fRT3RYueO211+SJJ55wegzc0Ygfnzx50mo/4sxYLLiKLV+6dEklimXPnl2mTJlilaluj3r16qlFB96To7GTvhxJadTuSLYxUb2JTxBeuNH1CmH7GoVk9JL9Di3KQR2qOq1hdqe+OavJa74qYWPckhDikVBDuGCNIusaIg3Ls3379ipjGhZ2VFSUvPLKK+IO+fLlUw9XoGUpMsrRprR27dpq34IFC5QLHsLqzJJu0aKFEtVp06apwSGuWL9+vSQnJ4eEEPuyO5I7iU9w1/b4RV/pHoRWm8blrPOXo2Qqd+J9WU1e82UJG+OWhBC3hfq9995T3ciQxLV06VJ58MEHVdIVXN+wprENsfYFFStWVFYxEtlQw43yrBdffFE6depkzvg+cuSIipv/9NNPUrduXSXS99xzj4qj//LLL2pbS/rC4gDXOn36dDlx4oTUr19fiTgWIWjagnh7OJCV7kjuJD5BdP73SE15cdw6cTTcybazVva4mP9qq28Kb/1S3q9nzopF7K3hG4QQ4jWhRqtQiGDbtm1VbLpatWrK/bxhwwanGdLe4tdff1XiDDFGtnfHjh3liy++MD8P8UaNN4QZoPkKMsKBNj9bY9++faq8DG5wDBmBJ8BkMqnjsOjAgiAcyEqWsbuJT62qFZIREmG35ajl8fO2Hr/Fmv597WGflERlxSJmUhchxF9EmKBQOoC7GwKHvt4A3b5WrlwpVatWlXAHljoavmjlX8GElkwlDsTWVRmSu7XGzo4H9jLQ9V6LuyBG3eiTBW41dcG6Y0TnWtKqGruAEUL8oxu6hRquYiSKaTFlJGdt3LhRDeIId4JZqL3R2MPd7l32jgcQTUcxY826R6mYN13gjhYqjoALH94BQgjxl27odn1Dz5GhrSVZXbt2TTUHSUpKsjpu8uTJnl43CRDezDLOzDTJ8r1nHDYWcZQotWzPGY8z0H3RxhGXbBlP92VHMkII8YpQd+3a1WobrThJ6OBpljEs0venbbUaC2mJXoEL5HxeewuV2sWT1ahP9tMmhASNUKMMixBbkXZVdqW35Wag5/PaW6iwnzYhJCg7kxGixZn7TN7k8mZYdjjDa1xloDvrSsaSKEJIOEKhJh6BOLTegRx6Wm5yPi8hhNiHQk08Aslf7uIqvsw+14QQ4sVe3yTccb9Dtp74MvtcE0KINRRq4hENSuWVEQv36DrWWYcze7DPNSGE/D90fROPqF86jxo56QrOUSaEkKxBoSYeAasXIyddwTnKhBCSNej6Jh6DePLXXWrJ+9O2yPGLaeb9yYkx0qFmYWn+38hKb0+9IoSQcIJCTbIEk78IIcS3UKhJlmHyFyGE+A7GqAkhhBADQ6EmhBBCDAyFmhBCCDEwFGpCCCHEwFCoCSGEEANDoSaEEEIMDIWaEEIIMTAUakIIIcTAUKgJIYQQA0OhJoQQQgwMhZoQQggxMBRqQgghxMBQqAkhhBADQ6EmhBBCDAyFmhBCCDEwFGpCCCHEwFCoCSGEEANDoSaEEEIMDIWaEEIIMTAUakIIIcTAUKgJIYQQA0OhJoQQQgxM0Aj12bNn5dFHH5UcOXJIrly5pHv37nL58mWnr2nSpIlERERYPXr06GF1zMGDB6V169aSmJgo+fPnl969e0tGRoaP3w0hhBCij2gJEiDSx44dk3nz5kl6erp069ZNnnnmGRk7dqzT1z399NPywQcfmLchyBo3btxQIp2SkiJLly5V53/88cclJiZGPv74Y5++H0IIIUQPESaTySQGZ9u2bVKpUiVZtWqV1KlTR+2bPXu2tGrVSg4fPiyFChVyaFHXqFFDhg8fbvf5WbNmyX333SdHjx6VAgUKqH1ff/21vPnmm3Lq1CmJjY3VdX0XL16UnDlzyoULF5TFTwghhHhLN4LC9b1s2TLl7tZEGjRv3lwiIyNlxYoVTl/766+/St68eaVKlSrSt29fSU1NtTpv1apVzSINWrRooW7gli1bHJ4zLS1NHWP5IIQQQsLW9X38+HEVP7YkOjpacufOrZ5zxCOPPCLFixdXFvfGjRuVpbxjxw6ZPHmy+byWIg20bWfnHThwoPTv3z+L74oQQggxuFD36dNHPvnkE5dub09BDFsDlnPBggWlWbNmsmfPHildurTH54Vl/uqrr5q3YVEXLVrU4/MRQgghhhTq1157TZ544gmnx5QqVUole508edJqPzKzkQmO5/RSr1499XX37t1KqPHalStXWh1z4sQJ9dXZeePi4tSDEEIICWmhzpcvn3q4okGDBnL+/HlZs2aN1K5dW+1bsGCBZGZmmsVXD+vXr1dfYVlr5/3oo4/UIkBzrSOrHIF9JK8RQgghgSYokskqVqwoLVu2VKVWsICXLFkiL774onTq1Mmc8X3kyBGpUKGC2UKGe3vAgAFK3Pfv3y/Tpk1TpVd33HGHVKtWTR1zzz33KEF+7LHHZMOGDTJnzhx555135IUXXqDFTAghxBAEhVBr2dsQYsSYUZbVqFEjGTVqlPl51FYjUUzL6kZp1V9//aXEGK+Dm71jx44yffp082uioqJkxowZ6ius6y5duigxt6y7JoQQQgJJUNRRGx3WURNCCAnrOmpCCCEkXKFQE0IIIQaGQk0IIYQYGAo1IYQQYmAo1IQQQoiBoVATQgghBoZCTQghhBiYoJieRQgxDjcyTbJy31k5eema5M8eL3VL5paoyIhAXxYhIQuFmhCim9mbj0n/6Vvl2IVr5n0Fc8ZLvzaVpGWVmz30CSHeha5vQohukX7ul7VWIg2OX7im9uN5Qoj3oVATQnS5u2FJ2+s3rO3D8ziOEOJdKNSEEJcgJm1rSVsCecbzOI4Q4l0o1IQQlyBxzJvHEUL0Q6EmhLgE2d3ePI4Qoh8KNSHEJSjBQna3oyIs7MfzOI4Q4l0o1IQQl6BOGiVYwFastW08z3pqQrwPhZoQogvUSX/VpZak5LR2b2Mb+1lHTYhvYMMTQohuIMZ3V0phZzJC/AiFmhDiFnBvNyidh3eNED9B1zchhBBiYCjUhBBCiIGhUBNCCCEGhkJNCCGEGBgKNSGEEGJgKNSEEEKIgaFQE0IIIQaGQk0IIYQYGAo1IYQQYmAo1IQQQoiBoVATQgghBoa9vr2AyWRSXy9evOiN0xFCCAlxLv6nF5p+OINC7QUuXbqkvhYtWtQbpyOEEBJG+pEzZ06nx0SY9Mg5cUpmZqYcPXpUsmfPLhERESG14sPi49ChQ5IjR45AX46h4L3h/eHfDv+vsgKkFyJdqFAhiYx0HoWmRe0FcJOLFCkioQpEmkLNe8O/Hf5f8TPHu7iypDWYTEYIIYQYGAo1IYQQYmAo1MQhcXFx0q9fP/WV8N64A/92eG88gX839mEyGSGEEGJgaFETQgghBoZCTQghhBgYCjUhhBBiYCjUhBBCiIGhUIc4//77r7Rp00Z1v0HXtKlTp97SHee9996TggULSkJCgjRv3lx27dpldczZs2fl0UcfVU1PcuXKJd27d5fLly9bHbNx40Zp3LixxMfHq25mn376qRidgQMHym233aY6yuXPn1/at28vO3bssDrm2rVr8sILL0iePHkkW7Zs0rFjRzlx4oTVMQcPHpTWrVtLYmKiOk/v3r0lIyPD6pi///5batWqpbJay5QpI2PGjBEj89VXX0m1atXMzW4aNGggs2bNknC/L/YYNGiQ+t96+eWXzfvC+f68//776n5YPipUqGB+PpzvjceghSgJXWbOnGl6++23TZMnT0arWNOUKVOsnh80aJApZ86cpqlTp5o2bNhgatu2ralkyZKmq1evmo9p2bKlqXr16qbly5ebFi1aZCpTpoypc+fO5ucvXLhgKlCggOnRRx81bd682TRu3DhTQkKC6ZtvvjEZmRYtWphGjx6trnn9+vWmVq1amYoVK2a6fPmy+ZgePXqYihYtapo/f75p9erVpvr165tuv/128/MZGRmmKlWqmJo3b25at26dut958+Y19e3b13zM3r17TYmJiaZXX33VtHXrVtOXX35pioqKMs2ePdtkVKZNm2b6888/TTt37jTt2LHD9NZbb5liYmLUvQrn+2LLypUrTSVKlDBVq1bN1KtXL/P+cL4//fr1M1WuXNl07Ngx8+PUqVPm58P53ngKhTqMsBXqzMxMU0pKimnw4MHmfefPnzfFxcUpsQX4J8DrVq1aZT5m1qxZpoiICNORI0fU9v/+9z9TcnKyKS0tzXzMm2++aSpfvrwpmDh58qR6r//884/5XkCcJk6caD5m27Zt6phly5apbXyIREZGmo4fP24+5quvvjLlyJHDfD/eeOMN9cFlycMPP6wWCsEEfsffffcd78t/XLp0yVS2bFnTvHnzTHfeeadZqMP97wZCjYW9PcL93ngKXd9hzL59++T48ePK3W3Ze7ZevXqybNkytY2vcHfXqVPHfAyOR3/zFStWmI+54447JDY21nxMixYtlBv53LlzEixcuHBBfc2dO7f6umbNGklPT7e6P3DhFStWzOr+VK1aVQoUKGD13jG0Y8uWLeZjLM+hHaOdw+jcuHFDxo8fL1euXFEucN6Xm8B9C/es7e+W90dU+AzhtlKlSqmwGVzZvDeew6EcYQxEGliKjLatPYeviBFZEh0drcTM8piSJUvecg7tueTkZAmGCWiIMTZs2FCqVKlivnYsPrBQcXZ/7N0/7Tlnx0DMr169qnIDjMimTZuUMCOmiFjilClTpFKlSrJ+/fqwvi8AC5e1a9fKqlWrbnku3P9usNBHvLh8+fJy7Ngx6d+/v8pf2bx5c9jfG0+hUBPyn3WED5LFixfzfvwHPmghyvA0TJo0Sbp27Sr//PNP2N8fjH3t1auXzJs3TyVPEmvuvfde8/dISIRwFy9eXH777TfDLi6MDl3fYUxKSor6aptxiW3tOXw9efKk1fPIvkQmuOUx9s5h+TOMzIsvvigzZsyQhQsXWo0rxbVfv35dzp8/7/T+uHrvjo5BNrWRP7hgFSKbtnbt2ipDvnr16vL555+H/X2Baxv/E8g4hncJDyxgvvjiC/U9rN5w/ruxBZ6FcuXKye7du8P+b8dTKNRhDNzV+DCYP3++eR/caog9w+UJ8BUfOPhw0liwYIFyFWOlrB2DMjDEczVgbcAiM7LbG/l1EGm4dPGebN33EKiYmBir+4O4O+JtlvcHLmLLxQzeOz5M4SbWjrE8h3aMdo5gAb/ztLS0sL8vzZo1U79zeBu0B3I4EIvVvuffzf+DUs49e/aoElD+T3mIx2loJGgyU1HigAd+3UOHDlXfHzhwwFyelStXLtMff/xh2rhxo6ldu3Z2y7Nq1qxpWrFihWnx4sUq09WyPAuZnCjPeuyxx1T5zvjx41XphNHLs5577jlVmvb3339blZKkpqZalZKgZGvBggWqlKRBgwbqYVtKcs8996gSL5SH5MuXz24pSe/evVWG68iRIw1fStKnTx+V/b5v3z71d4FtZPrPnTs3rO+LIyyzvsP9/rz22mvqfwp/O0uWLFFlViivQlVFuN8bT6FQhzgLFy5UAm376Nq1q7lE691331VCi7KsZs2aqbpZS86cOaOEOVu2bKpEolu3bmoBYAlqsBs1aqTOUbhwYbUAMDr27gseqK3WwILl+eefV6VJ+GC4//77lZhbsn//ftO9996rasfxgYQPqvT09Ft+DzVq1DDFxsaaSpUqZfUzjMiTTz5pKl68uLpefEji70IT6XC+L3qFOpzvD8qkChYsqK4ZnwXY3r17t/n5cL43nsIxl4QQQoiBYYyaEEIIMTAUakIIIcTAUKgJIYQQA0OhJoQQQgwMhZoQQggxMBRqQgghxMBQqAkhhBADQ6EmhBBCDAyFmhBiOJo0aaLGjurliSeekPbt2/v0mggJFBRqQoKIU6dOyXPPPSfFihWTuLg4NVSlRYsWsmTJEt3niIiIuOXRqFEj9dz+/fvVNoZLaJQoUcLua7QHRNLVz5s6darVPswrtp3XbMnkyZNlwIABut8TpnrhnISEIpxHTUgQ0bFjRzVC8ccff5RSpUqpsYeYzHXmzBm3zjN69Ghp2bKl1UhLR6xatUpu3Lihvl+6dKm6BkwRw4Qw4IuRi7lz53br+Jw5c3r9GggxDB53CSeE+JVz586poSGYTOSInTt3mho3bqyGo1SsWFEN0sBrpkyZYj7GdtsS2wElGDZhb8gLrkXjf//7nxqKEBMTYypXrpzpp59+Mj+HwR6W58M2wAAFTC7TM+QCU5Pq1q17yzHVqlUz9e/fX32PITOY/Gb5+p49e6rpShj+gKEz/fr1s3o9pi41bNjQfK/mzZvn9N4QEijo+iYkSMiWLZt6wI2MudD25kV36NBBWceYKf7111/Lm2++6dbPWLlypfr6119/ybFjx5QL2hmY5d2rVy957bXXZPPmzfLss89Kt27dZOHChWZrXLPgcT5t2x0w5xnXhZnGGlu2bJGNGzfKI4884vB18DokJSWpe/Hpp5/KBx98oOaAA3gIENNOTExUz48aNUrefvttt6+NEH9AoSYkSIiOjlZxWAgQ4rsNGzaUt956SwmWJq7bt2+Xn376SapXry533HGHfPzxx3bP1blzZ7Pwa+IP8uXLp77myZNHxb9duaCHDBmiYtTPP/+8lCtXTl599VW1WMB+y/PhenE+bdsdKleurN7P2LFjzft+/fVXqVevnpQpU8bh66pVqyb9+vWTsmXLyuOPPy516tRRYQIAwYbwa/cKMfqPPvrI7WsjxB9QqAkJIhAfPnr0qEybNk3FmP/++2+pVauWEvBt27ZJ0aJFpVChQubjGzRoYPc8w4YNUwlj2uPuu+/26HrwM7FgsATb2O9NYFVrQg0P/bhx49Q+Z0CoLSlYsKCcPHlSfY8YO+4VFg8adevW9eo1E+ItKNSEBBnx8fFKWN99912V3AWLFpajO0CgYI1qD7iIjQw8ABDXtWvXqvd86NAhefjhh52+JiYm5pbsc4QHCAk2KNSEBDmVKlWSK1euSMWKFZWAIRassXz5crfOpWV/a1nersDPtC0NwzauyVIw9Z7PEUWKFJE777xTubzxwEIlf/78Hp+vfPny6l4ha17Dk/g5If6A5VmEBAkowXrwwQflySefVG7d7Nmzy+rVq1WiVLt27aR58+YqTty1a1cZPHiwXLx40e0EKYgfyq1mz56txBHWu7PSp969e8tDDz0kNWvWVD9/+vTpKgEN8XLLOmzEhuESR+13cnKy2g/xtqzXBnge4m8PuLrhOUB5Glz3WQFCX7p0aXWvcP8uXbok77zzjtnyJsRI0KImJEhA0hcSqCBSSBSrUqWKcn8//fTTMmLECImMjFRZ2FevXlXx1qeeesrtBCkkrH3xxRfyzTffqFg3FgDOQOY0mo0geQxJX3gdMrzRWUzjs88+U8lbiAlD0DUuX76sti0fbdq0cfizHnjgAbVYSU1NzXIXsqioKJVAh2u47bbb1L3SFjVYnBBiJCJQoxXoiyCE+A5YiBBwtth0Dlz2yP7evXu3srYJMQp0fRNCwhIsXuClQPkWxBn14HDPU6SJ0aBQE0LCEsSl0RDm4MGDkjdvXhVjh5ueEKNB1zchhBBiYJhMRgghhBgYCjUhhBBiYCjUhBBCiIGhUBNCCCEGhkJNCCGEGBgKNSGEEGJgKNSEEEKIgaFQE0IIIWJc/g97CS75gFC1pQAAAABJRU5ErkJggg==", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots(figsize=(5, 5))\n", + "partialResidualPlot(result_spline, house_98105, 'AdjSalePrice', 'SqFtTotLiving', ax)\n", + "\n", + "plt.tight_layout()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### R\n", + "R fits cubic B-splines with `bs(...)` and compares spline-term structure.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 82, + "metadata": {}, + "outputs": [], + "source": [ + "%%R\n", + "knots <- quantile(house_98105$SqFtTotLiving, p=c(.25, .5, .75))\n", + "lm_spline <- lm(AdjSalePrice ~ bs(SqFtTotLiving, knots=knots, degree=3) + SqFtLot + \n", + " Bathrooms + Bedrooms + BldgGrade, data=house_98105)\n", + "lm_spline\n", + "\n", + "terms1 <- predict(lm_spline, type='terms')\n", + "partial_resid1 <- resid(lm_spline) + terms1" + ] + }, + { + "cell_type": "code", + "execution_count": 83, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "%%R\n", + "df1 <- data.frame(SqFtTotLiving = house_98105[, 'SqFtTotLiving'],\n", + " Terms = terms1[, 1],\n", + " PartialResid = partial_resid1[, 1])\n", + "\n", + "graph <- ggplot(df1, aes(SqFtTotLiving, PartialResid)) +\n", + " geom_point(shape=1) + scale_shape(solid = FALSE) +\n", + " geom_smooth(linetype=2, formula=y~x, method='loess') + \n", + " geom_line(aes(SqFtTotLiving, Terms)) +\n", + " scale_y_continuous(labels = function(x) format(x, scientific = FALSE))\n", + "graph" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Summary: Splines\n", + "\n", + "| Operation | Python | R | Notes |\n", + "|---|---|---|---|\n", + "| Spline fitting | basis terms in model matrix | `bs(...)` formula term | Same cubic-spline concept. |\n", + "| Knot handling | explicit df/degree choices | explicit knots/degree | Both control smoothness through basis setup. |\n", + "| Partial effect view | custom partial plots | term-driven residual view | Equivalent interpretation of local curvature. |\n", + "\n", + "Both ecosystems implement splines well; R is often terser in formulas, Python is often clearer about basis construction.\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Generalized Additive Models" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Python" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Using statsmodels" + ] + }, + { + "cell_type": "code", + "execution_count": 84, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " Generalized Linear Model Regression Results \n", + "==============================================================================\n", + "Dep. Variable: AdjSalePrice No. Observations: 313\n", + "Model: GLMGam Df Residuals: 295.00\n", + "Model Family: Gaussian Df Model: 17.00\n", + "Link Function: Identity Scale: 2.7471e+10\n", + "Method: PIRLS Log-Likelihood: -4196.6\n", + "Date: Wed, 15 Apr 2026 Deviance: 8.1039e+12\n", + "Time: 17:36:33 Pearson chi2: 8.10e+12\n", + "No. Iterations: 3 Pseudo R-squ. (CS): 0.9901\n", + "Covariance Type: nonrobust \n", + "====================================================================================\n", + " coef std err z P>|z| [0.025 0.975]\n", + "------------------------------------------------------------------------------------\n", + "Intercept -3.481e+05 1.18e+05 -2.962 0.003 -5.79e+05 -1.18e+05\n", + "SqFtTotLiving 192.1472 50.663 3.793 0.000 92.849 291.446\n", + "SqFtLot 6.9002 7.654 0.902 0.367 -8.101 21.902\n", + "Bathrooms -7836.2808 2.12e+04 -0.370 0.712 -4.94e+04 3.37e+04\n", + "Bedrooms -8297.4370 1.26e+04 -0.660 0.509 -3.29e+04 1.63e+04\n", + "BldgGrade 1.014e+05 1.4e+04 7.249 0.000 7.4e+04 1.29e+05\n", + "SqFtTotLiving_s0 1.465e+05 2.34e+05 0.626 0.531 -3.12e+05 6.05e+05\n", + "SqFtTotLiving_s1 -6.174e+04 1.33e+05 -0.464 0.642 -3.22e+05 1.99e+05\n", + "SqFtTotLiving_s2 -3.186e+04 1.26e+05 -0.253 0.800 -2.78e+05 2.15e+05\n", + "SqFtTotLiving_s3 -5.403e+04 1.01e+05 -0.535 0.593 -2.52e+05 1.44e+05\n", + "SqFtTotLiving_s4 -1.182e+05 1.01e+05 -1.167 0.243 -3.17e+05 8.03e+04\n", + "SqFtTotLiving_s5 -1.295e+05 8.23e+04 -1.574 0.115 -2.91e+05 3.17e+04\n", + "SqFtTotLiving_s6 -3.014e+04 1.27e+05 -0.237 0.813 -2.8e+05 2.2e+05\n", + "SqFtTotLiving_s7 1.262e+05 1.8e+05 0.702 0.483 -2.26e+05 4.79e+05\n", + "SqFtTotLiving_s8 5.325e+04 1.38e+05 0.386 0.700 -2.17e+05 3.24e+05\n", + "SqFtLot_s0 5.775e+05 1.58e+05 3.651 0.000 2.68e+05 8.88e+05\n", + "SqFtLot_s1 -2.771e+05 7.86e+04 -3.526 0.000 -4.31e+05 -1.23e+05\n", + "Bathrooms_s0 3.723e+04 1.06e+05 0.351 0.726 -1.71e+05 2.45e+05\n", + "Bathrooms_s1 5.303e+04 5.94e+04 0.892 0.372 -6.35e+04 1.7e+05\n", + "Bedrooms_s0 2.298e+05 1.31e+05 1.751 0.080 -2.74e+04 4.87e+05\n", + "Bedrooms_s1 -7.241e+04 6.81e+04 -1.063 0.288 -2.06e+05 6.11e+04\n", + "BldgGrade_s0 -7.953e+05 2.03e+05 -3.917 0.000 -1.19e+06 -3.97e+05\n", + "BldgGrade_s1 6.608e+05 1.14e+05 5.818 0.000 4.38e+05 8.83e+05\n", + "====================================================================================\n" + ] + } + ], + "source": [ + "from statsmodels.gam.api import GLMGam, BSplines\n", + "\n", + "predictors = ['SqFtTotLiving', 'SqFtLot', 'Bathrooms', 'Bedrooms', 'BldgGrade']\n", + "outcome = 'AdjSalePrice'\n", + "\n", + "x_spline = house_98105[predictors]\n", + "bs = BSplines(x_spline, df=[10] + [3] * 4, degree=[3] + [2] * 4)\n", + "# penalization weight\n", + "alpha = np.array([0] * 5)\n", + "\n", + "formula = ('AdjSalePrice ~ SqFtTotLiving + ' + \n", + " 'SqFtLot + Bathrooms + Bedrooms + BldgGrade')\n", + "\n", + "gam_sm = GLMGam.from_formula(formula, data=house_98105, smoother=bs, alpha=alpha)\n", + "res_sm = gam_sm.fit()\n", + "print(res_sm.summary())" + ] + }, + { + "cell_type": "code", + "execution_count": 85, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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tmgsusGJqmN6dkqSixokEjhBCRIEpi7dg5sod6NWyNk5sn6k5T3IoYLZvLxIrvkSM0yrjC1YRti01nTtL1HgjgSOEEFEQNyPGz0NaSgre/HEVXhvaVSIniYTM5s3Ab78BCxZYy4ULgZUrLTdTIGiFadQIaNas+KCwsW/LUuMfCRwhhIgwtNxQ3OR7PGY5688dEjguhLVlFi8uEjK2qGGzSl9QnDRsCNSol4vVOdtQrsZ+pFY7gLvOa4xz+tU0HbnLl4/2p3APEjhCCBFh6Jai5cYWOT1b1NacJzhbthQXMVwuWVK81YFNaqqVzdSxozUY+NumDYyAycgAxkxagbd/Wl0ogHPqpaNly5qx+FiuIioC56WXXsJTTz2FzZs3o2PHjnjhhRfQnT3W/fDxxx9j9OjRWL16NVq3bo0nnngCJ598cuHzHo8H999/P1577TVkZWWhT58+ePnll826QggRbzDmhm4pWm4obhSDk1hWmaVLi1tlOBgA7IsaNYpEjC1oWHOmYkX/7yEBHBlSPFQLEeTDDz/E0KFDMXbsWPTo0QPPPfecETDLli1DvXr1Dlv/p59+wnHHHYfHHnsMp556Kt577z0jcH7++WcczSR+wNzn82+//TaaN29uxNDChQuxePFiVKhQocR9ys7ORvXq1bF7925Uq1YtIp9bCCFEYkFXklPEUNTQ5eTs1eR0L/Ga2hYxtqihVaY0cTGM05IARljP3xEXOBQ13bp1w4svvmjuFxQUoHHjxrjhhhtw9913H7b+BRdcgH379uFzJvb/Rc+ePdGpUycjkri7DRs2xG233Ybbb7/dPM8PmpmZibfeegsXXnhhifskgSOEEMkLBcuyZcXdSxwMBvYFz6NOEcMlr7crVYr2novsEARORF1Uubm5mD9/PkaNGlX4WGpqKgYOHIiZM2f6fA0fv/XWW4s9NmjQIEycONHcXrVqlXF1cRs2/LAUUnytL4GTk5NjhnOChBBCuB9ewlPMTJ8OzJ5tCZpFi4o3m7Sh5YVF8pzuJd5u2lTZSolIRAXO9u3bkZ+fb6wrTnh/KZ2aPqB48bU+H7eftx/zt443dGc9+OCDZfosQgghEoM//wSmTbNEDcemTYevU7VqkZBxWmWqVInFHotIkBRZVLQgOa1CtODQTSaEECLxYUG8b78FvvrKGsuXF3+emUp9+gDHHmtV+aWYoVWG2U3CvURU4NSpUwdpaWnYwnw6B7xfv359n6/h44HWt5d8rEGDBsXWYZyOLzIyMswQQgjhDrcTRczkyZagmTGjeIPJ9HTGbgLHHw+ccIJ1O4j8E+EyIqpfy5cvjy5dumDq1KmFjzHImPd79erl8zV83Lk+mTJlSuH6zJqiyHGuQ4vM7Nmz/W5TCCGEOzpmX3+9FSfDOjI33WSJHIobVvwdMQL45BNgxw7g+++BMWOA/v0lbpKViLuo6BoaNmwYunbtamrfME2cWVLDhw83zzOF/IgjjjBxMuSmm25Cv3798Mwzz+CUU07BBx98gHnz5uHVV181z6ekpODmm2/Gww8/bOre2GnizKw688wzI/1xhBBCRDGW5tNPLSvNd98Vby5Zrpzlcho8GBgyxKo1o7YFIqoCh2nf27Ztw3333WeCgOlGmjx5cmGQ8Nq1a01mlU3v3r1N7Zt//OMfuOeee4yIYQaVXQOH3HnnnUYkXX311abQX9++fc02g6mBI4QQIn5h3Zn//teyxPz6a/HnmjSxxAwHXU8MFBYiZnVw4hHVwRFCiPiAZ6BffikSNc4EW1779usHnHqqJWratpWVJtnJjpc6OEIIIYQ3BQWseWYJGo7Vq4u7nk48ETjnHOD005msovkTpUMCRwghRFSqBzOVm4JmwoTiVYNZEZgWmrPPBk45hcVb9YWIsiOBI4QQIiIwKHjKFEvUMFh4586i5+hdOO00y1IzaJDaHojwI4EjhBAibOzda6VuM6aGad179hQ9R3cTk11pqRkwgKVENPEickjgCCFEHMMu0zNX7kCvlrVxYvviLWrihawsYNIkS9T873/Fi+41bGgJGlpq+va1ivBFmkSYMxF5lEVVQhS2EELECp6oR4yfh7SUFOR7PHhtaNe4OWFv3QqwBzLdT6y7mpdX9FyLFpagobDp3j26LRHiec5E2VEWlRBCuABaIewTNZez/twR05P1unVWgDAtNT/8YGVD2bDQni1q2LwyVkX34m3OROyQi0oIIeIUulje/HFV4Qm7Z4vaUd+HFSssKw1FzZw5xZ/r0qVI1LB1QjwQD3Mm4gO5qOSiEkLEMXS50ArBE3U0LBEsvPf770U1ahYsKHqOVhl25aaoOessqyN3PBLtORPx6aKSwJHAEUIkORQ18+YVVRNmp26btDSrLQKtNMyAql8/lnsqkp1sVTIWQggRiPx84KefikQN42tsMjKAk06yLDWsVVOrluZSJB6KwRFCiCQqvDd9uhUozMJ7W7YUPVe5slVFmJaak09WI0uR+EjgJBC8wmJ9CR6I7BGNmhJCiMQlOxv46isrpfvLL637NjVqWP2eaKlh/6eKFWO5p0KEF50e4xwKGpqQX34Z+PHHw59nJVBb7BxzjGVOPvdcoG7dWOytcAOlLZJWluJqKswWXmiZ+ewzy1LDGjW5uUXPNWgAnHGGFSR8/PFWc0sh3IiCjOM0yJhBfq++CowbB+zYURTsx6Z0+/YVrz/hDQ9YPHhdc411AItVPQqReJS2SFpZiqupMFv40rlppeFgbA0Dh22OPNI6JjBIONqF94QIJwoyjhHsufLcc8CVV1rlyUvDrFnA6NHAN98UPdaoEXD11UXb5YGLvvT9+y2xw8FS6ezU+/HHwPz5wEcfWaNXL2DMGKvvi4SOiFSRtLIUV1NhttLB48Avv1hWGooapnY76dbNEjQUNm3b6v8vkg/p+DDyzjvAffdZtSHOP98SHM6rqEDs2gX8/e9A796WuKEYYaAfzcyrVlmixxZNfK5CBSuzoXFj6+DVsydw111WqicPeiNHWv70mTMt33q/fsCMGeH8tMKN0L1ki5RQiqSV9nVlfW2ywXYIDBK+6SagWTOr0N7DD1vihhZeXsi8+CKwdq1VlO+ee4B27SIjbmh5GzNpsVkKEY/IRRVGFxWbzD3yCPD990WPHX00cO21wGWXAVWqHP4aCqB33wVuu83q7UKGDQMeeMA6gJWFTZuAJ54Axo61LD6ELqtHH7UEkRDhLJJWluJqKszmH1pqp0yxLDVsaLlzZ9FzdFkPHmxZapgBFcl0bmecFFG/JxELVOgvjBNUGlj586WXLIsOD06kalVLuFx3nWVxIcuWWZYWXpERXmkxmJjWlnCyYQPw2GPAa68VBRsyEJmPtWoV3vcSQpQdipjPP7dcT5MnAwcOFD1Xu7aVTEDXU7Qyn7zjpAa2q4fpS7cVWt4u79MMo09tH/kdEUmPBE6MBY4N42Lefhv497+BP/4oepxmZGY88XEKDh6g6Nq69VYrKypS0Gz94INW4DItRwxGpsCi+6tOnci9rxCi5KwxloGwg4Tp3mYhPpsmTYqChPv2jX55CLqi3v5pdaGgOb5tXXyzZKs6douoI4ETxgkKB8x4YqomrTo0MTszoBhnQ5958+aIGgsXWvE6rI1BOAWjRll+fdXBECI61pBUpODgtsoYVKULFv5YxSQHOOFFkC1qOnWKbZCwr0w3on5PItpI4IRxgsLNmjXAK69YaZw33mgdwGJ14KLouuMOKyjZztZiwOKll1oBi0KI8MKLm2ueWYWP/1uAfX9kIm9XlcMaWVLQcLRsGV+zrzgpEQ9I4IRxgpLhgPvee8C991ouLNKxo+XKop9f9TKEKBuHDlkZjHY6N4P/C0nLR/c+eRhxWYb5v2Wq8bUQAZHAKQEJHN8Vk194wcoC2727KAOMaaZMeZdFR4jgYW0qZlVS1DBYmPF4Nkw46NL3IOodsx0Xn1seZ3SrF9Q2Ve1ZCEjglIQEjn9YNfnZZ624ILtnTevWwN13W66rSAZBC+GGzCd25v766+KZT/XqFbVHOOEEq1t3KKjasxChn79V6E8UgymotOIwVuihh6y6GmwbwSrKrMtD11UxE7soRIXPkg+WYGDywMCBlohhKQh26aa44f/lllusulgbN1qtV4YMCV3c+Kv2LIQIjAr9JXkMTkns3WsFRT/zTJGwYYoquw+zpg9TVhOhBUSkzfu6wk4eWL+KricOVgv2lfnEwVi2cP039PsSwkIxOCUgF1XosF4PTe+8Wv3hh6LHWSjw8sutSs2s1RGPROPk4F0nRIXP3ANrRrEVAvu8/fe/wOLFRc9RwLDfm53OHcnCmcpiEgJqtinCD2NvLrzQGr/+agmd99+3Ohj/4x9WsUAWMLz4YivWIJIl40MlGs0caRl688dV6qfkQlHDsXRp0XMskMk4Goqa008HGjSIzj7xNxsJ66MQbkUuKpe5qKKZaUH3Fa9o33qreCNPurB4AjjvPEvs1K0bu3203y8afXN0hZ34ombRIuCjjw4XNRT47PnE3/SppwI1agS/3Uj93pVVJZKR7BCCjCVwXCRwYumnZ8dzNg3liYG9uJx07mxZdzj2V9+KWz+dG/V9lPgQgUQNf7cUNr5EDcsksEZNaQ4VkfpPKiZHJCvZIQicKHc0EYnuivEHW03QVcXBvlu07Pzf/wE//2xVSuZ4+mmuWQ/p1Y9HubrZKFfjAJ7Z7sGW/landY7KlS0XAK1Ac9Zsx8KNWejSrAb6t6tjavEwA4V9s0ItQCjzfvIRyMLhtNQsWeLbUkNRU716fP4nY/lfF/GBLHglI4HjIuIlDuTII63eVhxbtgDTpgHffGO5sf78E8jbXckMlgn53zzgf2/42xI7gB7eBbRCBaBFC6uUPTuw9+xpBXrWrx94v3RASB6cFg7+J2g5aejJ9CtqBg0qstSUVdRE4z8ZL/91ET+/bwncw5GLykUuqkRwxezaBbw+cSe+nZODyrnVkLKvsikuyMqvjOnhMi8P2LX3EPYfLICnIAUeTwrSkYYUT6rJ5vIHM1iOO65osA6JnaYrk35yYWe1HdhaGQeWNUS5tU2wbV3GYaKGlhoGCodT1ETrPxnv/3UROZI5azNbMTjhmyARG/wJEoof9sxaudLK4Pp8+n7Mn5OKrWszjBBy0rhxkdhZmL8CX6z5AwXwgGsNaFcPrw/rpq/XhdD99Pi/9+LDDz04tKNqTESNEJEkmS/YsiVwwjdBbiOR3DQlXaE6/+SHDqbhmjbdsWd1TXz3HTB3rmUJcpJaKQcZjXYho+EuVGi0E6/f1gqndIrvOXDz9xvOQGHGeLFOE4fT/ZSWXoCufQ7huiszJGqCJBl/Q4lIslrwsiVwwjdBbsJtqj+QmZaurlmzYMQOB2+zoaiT9HIF6NkjFb17W6X2+/VL7F5bbvt+A1FQAMycWSRqVq8ueo5B6k5LTSgp3clOMv2GRGKiLCqRFJkXgQItmY1lp6aTnBzg3x/txJg3tyB3fS0c3FADeQcyTFVmjieftFwWrHEydKgleJyZWjzwfzhnLejfuqBbk7icN7d9v94cOgR8+62VoTdxIrB5c9FzFStafZ7OPhs45RSJmtLi9t+QSC4i2mxz586duOSSS4yVpEaNGrjyyiuxl5GkAda/4YYb0KZNG1SsWBFNmjTBjTfeaCwtTlJSUg4bH3zwQSQ/iiugILAPXG7IvOCBl1eYtNyUdKXJ9PJbLquFj16qhbv/uQNfzc0yPYXGjQOGD7caJfJnxlo+vPpn2jsbi65bV3RV+83SrfhmyVZzm4/FG277fgm/E5YbYDuQzEzgxBOBsWMtcUPj6yWXWIJn+3Zryfuy2JQeN/6GRPIS0SyqIUOGYNOmTXjllVdw6NAhDB8+HN26dcN7773nc/3ff/8d999/Py6//HK0b98ea9aswd///nd06NAB/8ejnL3TKSkYN24cBrNgxV9QQFVg/nCSuqiC9Zsnq9+2JPLzLTcW209Q5GRlWY/TitOo4y4cbPUHKjTfbrKyGKR8Rd/mcZm1kOjfr90i4csvrfHjj9Z3Y8Oq2Oz5REsNq2UnsksxXkn035BwN9nxEIOzZMkSI1Lmzp2Lrl27mscmT56Mk08+GevXr0fDhg2D2s7HH3+MSy+9FPv27UM6q7/9JXAmTJiAM3mkKwVuEzjym4eXAwesTtGvvebVgqLGPlTptBZVOqzDm9d01ME/TND68vw7WfjyKw/WLKiG7ZvTij3fpo3lfuLfnd3rWfBRCJGcZIdw/o6Yi2rmzJnGqmKLGzJw4ECkpqZi9uzZQW/H/hC2uLG57rrrUKdOHXTv3h1vvvkmImiISki/uSg9jOdg09Dp04HrX1qBal1WISXjEPKyKiNrRjtsGXsi3nkiEz/9ZFkcKDAZ8ByPbqt4ZNs2y510ww1Ahw6WVeahW2pg/tc1jbgpn+HByScDL75olQNg+4R//tMKApe4EULEvJLx5s2bUY+BDc43S09HrVq1zHPBsH37djz00EO4+uqriz0+ZswYnHDCCahUqRK+/vprXHvttSa2h/E6vsjJyTHDqQDdRDSqmiZr6ujp/ati0tp5qNXvD2QvboBaa9phxZJyGD8eZmQ2zMeBRntRtd0uvJG5Cq8PU9aJNxs2WBlPDBCmRYwuKG/K1dmDCk23o3LLbRhxflWMOadddL5gIYRrCVng3H333XjiiSdKdE+VFYqQU045xbi5HnjggWLPjR49uvB2586djfvqqaee8itwHnvsMTzIiFGXYgfbRspvnsxlwYvN7ZW1MbBdOcyZA7z8smWF2LIxDdjYEtlzWiKtykHc9fMB7LgSOPZY4Igjoruv8SBC9++3+o8xnomGWi7Xrz98vaOPtiwy/fsDBZlbcecXRQ1Yj23XNBa7LoRwGSHH4Gzbtg07WFs/AC1atMA777yD2267DbtYm/8v8vLyTCAw42rOOussv6/fs2cPBg0aZCw0n3/+eYnBw1988QVOPfVUHDx4EBlMlwnCgtO4cWPXxOAkclnweDgplyVW5/FXs/D02P04sLIePIeKXy80aQL06QNTZ4eD7hgvT2tCx2HREPrbb8UbqrKKsDMo2A7UPuYYq6I0BQ3FH91S3vuvwFYhREzr4NStW9eMkujVqxeysrIwf/58dOnSxTw2bdo0FBQUoEePHgF3nuKGQuWzzz4LKjPq119/Rc2aNX2KG8LH/T0nYucCS3TLEGN1HrypBvqemIPvly5H5V31sW1JTUydCixYYLWU4GBmll2bp1Mna3TubI2jjrJS2KNdvyQUYUnBwlgYiheOhQstUcNWGb5g01M2P+XfnI1Q+fdnp/hAqNu7SHZYvJLDZGo6hojDGJx27dqZNO4RI0Zg7NixJk38+uuvx4UXXliYQbVhwwYMGDAA48ePN8HCFDcnnXQS9u/fbyxAvG/Hy1BUpaWlYdKkSdiyZQt69uxpxM+UKVPw6KOP4vbbb4/UR3EVpbGYhOoCC/Y9uA6j3HlS5jJRi4r5Ojnv2QPjymIgMgdjUFjThWnPHM6qu+3bFwkedkdv29ZybzkLDYZThPoTljRyrloF/PFHkZhhvAyDfB0G0GI0agT87W9F+8/BHmA6MLvXcin8w2rpDKLfurVo6es2B925bB5sD+/WMjbegofHBS4ZcF+njvUf5PHCXjpvN2wYnguoRCWidXBYuI+ihqKE2VPnnHMOnn/+eVT563Ju9erVaN68OaZPn47+/ftjxowZOP74431ua9WqVWjWrJlJNR81ahRWrFhhMqdatWqFkSNHGiHF90jGNPFgD5zRcGOE8h5P/W8ZXppeZAaoU6W8qRJ8x6A2cBu8MqNQsF059nB4cItRqRJw5JFWijRHixaWcOCBiwZUVl32/rkHcvPQCkPPMg+wT09cg6/m7EJudgbysyqjjqe2WbKoob+jAa1VFF+0ODF+xhYzPMDG++8/3sSEyjokVvVsljEoSbDYt3lhE2/UrXu48PG+zeNJolyUxEUdnHgm3gXOf3/aih8W7Ua7ejXRsX4d01eJY/byLGz17MSZAyrjZB9NIks6cAaKpbFPAhXLp+FAbn6pTwahxOtw3bd+WoUCr1/gdce3cqXI8Yb/PLqwKHR+/dUarK5M14+/qzkbXr3VqgXUrm2JId7nYIwPl9w2rxA5KGx4EKbIKglee7RqZQkZ52jWLP5TtH39/km89VaKZEybCAyF/s6d/gWK931/FyBlgUKC/1v+11io0h60tPCihf9d5+D/1tdjPEZs2WIJsLJSuXLJIoiVxOPhGKBeVHGO9xUlf7BMoX3jDeB/3+Rj22am1xdPsbdg18AaeD09H+2PycXJA8ubWAcOxj2UFIdhuzEI15m3emdh7RaeBGgQ4DkwNQWljokJxVXi3B8nM5ZtjajAiYcreuc+nHlmpili57xqpKuIYscea9ZYbSOYkcRuJzxQ26buUOCBlQeqcpVz4am8Hx3ap+OknlXQsqUlbHi1F44ruVjMsa/fP/9b8dZbKRplHZIZ/j/oZl2+3Iodc46NG4MT+qFSs6b132FlFA77tq/H+B8Mp1CgW4yfi+UYeHzg0vv2xo2BL5p4Ac054/AH97lBA/8CiLfpEqO1N16QBSfKFhznVWbeoRScX7M3pnxc3WSjlAVeYbfruh8/l/8NlRrvQgEOv1q139ubge3qYfrSbeZga1OWK8tQMmK47ovTluO39bujYsHxvsrnZ49288yyuigYD0OrDAev3niAo+DhAYxLO4uJlh0ebGjpoajhAZYxP5EWKrFywSSKBcfeV2WNlR4eqjZtsty+3oMXAmWlalXf4sTXbbpp471lSEGBZZHyJ4Ds2wFaRQYNjzdO4fPCC0CQXZSCQhacOIYnCxwsjx3zmmLvL03x9P7iEWAZFT1A3Z1Ir5yDlHJ5GNihDto1roRN+/Zi4oJ1yNtWzeqEnVW52OtWr+aoxOtD1G6Yg/OH5qBbw2qHvTcvzp0eIfti3Slu7PulvbIMJSPGXpfxOLTc9G9TL6LWG+dVPpm6xGqgGc0TX1k7NtOUzSulILudRD3LLVYdqf0Fw0eyRlRpUdZYcNCaSZetLV5YYs2+HWq8C4VI06ZFYt+fYOGIJytEOEhNtaz8HI7mAofBnJ6SRBCFUiDoAuRgJimPVa++CvdlUQnfNE6rh/XjmiE/m2KkiG7dgFtuAc45JwXfrsjDrD+z/jog2+tVwcWLa/11oE5HxzqVTWYOB7N05s61ruTJjo0ZePnxDIx/ARg5EmCC2YIdW7B2x75i4obwPi0Y9sne85foGdCuXsROBr7ifShqohF3Y7sHbKHHEW3XRaK4KEorVGL5+XwJB1+PxYObUhSHJ06eFJ2DmXzMMArFVWRnIrZubbld6X5lkD4DaUVg6NBgVieHP/h92C6xQG4xilNacGIZvCwXVRRdVAwiHTSoSAGnpnqMoKGwYb2QsvwQ6EOdONGK42EPJScZFTwof/Qq1Oz5J1Iq56BZ7UrYm5OHI2pURN/WdY3IoNhgRlOkTfm2VcAZ78Mg42haULgPH85dayw3sXJdJIKLoiyupnj+fMpiii08QdISY4sYuue5ZMBsMPA4SZc8RYxzUNjQSpMo2UBupqDAcp+zNAaFZjhRFlUYJyhc0MrCBoL8wgmr2lKQNG8e/vdavNhqVDhuXJFVh6Sk56Nqx7Wo1nMlylfNLXTT2Ccwxr4cPJQf8KRU1itfZwaJTawySWJxEjbias5aYyaLduxPaYhnoRLNLCZZfEpf7ZvihYUh58+3lqytxKv7YNwqLJXAKtjM5LOFDE+YjC8TyUm20sTDN0Hh4OuvAXamYMouYdbTF19Y5tRIwiC8J58E/v2yB7k5RZc1jO2hyKne7U+klmM4stVW/ohaFVGrUnnUrZqBNvWrHZYuHo4r33iw4ISTUE58voK8E/VzJzKh/o5l8QkOHt9Y8sAWMlzSUuPdusMXzCzq2NG68LMH3SRui4URZUcCJ4wTVNYTHhsyXnRR0RXLwIHAhAm+S9dH6iqRzduvv3sfPnu/Ig7lFlWHS6t6ADX6LUPV9hvg8WHW9RYf4arfYVsFKpRLK9FiFO8F5Hxl7fj7Djl/435cVRgHxSm/om9z1UCJY8sU13tuyh9Ysjnb/BdUt8aCooXihdW67UFLTUlihlYZWmHYrsQpaJh+LNeSCAYJnDBOUCh4n/DOrdoX/7yvemHdhbPPBt57z3fp7GhcJdLH/dBDwMtjPSjIL1I01RvvQYVjF6JC48OrWtkHdJ4IXpy6HL9t2F0ofOjSKktRwERxBfj7brwF3/Ft6waM65EFJ7HwtjYmq9WN3mQGj7I7vC1m5s2z4v4CwaKTdC2xlYc9KGpYVE6I0qI08TjIOtk7rzmemVoUtn/55cBrr1l/el8n8Wik1jI9krE5112XgjvusNxkZPe6qtj9Xm9UOnITavRfinI1LV8ahQz3h5YWp2uF4ubkYxoUBiWHq1Gm84TCbcZLRWN/3413thAJ9B3aacwMcKb95oJujZPmRBmPwjXUkgLJQlaWlZXptM7QChwIWl8oZrp3tzJC2WCVsTPhrH8iRKgoTTyM8OD9xg+rsOen1tj1w5GFj994I/DPf1rmWX+1RaKZWstsg88/B6ZMAW67zeoOTfb/0QD7V2SiRb9NGHrtfqRWOGT2w7t+Dm+v2bEv7ILMbr5pXy1TQHVqXOMwK0i4TpTBbsvfd+Ndd4U4LTi+vsNg659EQhBEU2Q434skYtd475ICJF6qIYcLajfW0GID2B9+sJZMzS5J0zVpYokZe9A6w+J4QsQTShMPo4uKrqhzh+3DhHeKbLD3328N279cUj+oaGes0Gd+9s0b8cW42sjfV+Q7YwD0ffcB114LfLvi8OBYWlfCnVbu7cKhBWl4n6IYlXC68UoTaBpszEZZv8Oyfs5g44UiWefIu1q0XSnbXwxLvFp44qGkQDhhtWuWq3AKGiYjBKJGjeJihhYaFowTIhbIRRWjA8eIESgmbmi1ufnm4usFstTEorop+4tcPzINv6RPx545rbB7TnN48tJMkznW53npJWZiZeLVy7rio3nFXSu0roRLkNknOLq+vly4qTDOxzk/4XTjGWvRXy44LkvaVrDfTTi+w7J8Tn8WwmhWF/Z+L2Lf9mXZKm3F5Ghgf5+Jmi7PshSzZhUJGsbR2Nmc/o4HDABmpmePHtZgsTwFAItERC6qMMGiRtOmWbfpinr9dWD48ODLyceakzrWxraWmzG/4xrs/q4N9i5qZB5nmXQGRx97bCaefjrTXMGF82Ru14X5ZulWn/V4bKsXhWFZ3XjOGjTl09MKu5hzyTijeKEsnzPYeKFIukC934v1fjj8/eZj1drBba0V7O70FDP2YGZTIHcT3UoUM336WIOCxleGpxChEg9WWbmowuiiYifWAQOA555jywUkBN7uBNtykrelOsrN64zVvxdPeRgyxHK58UBY1qJ29nt7xzjYLgx/adilEYe+Mpjs92Xcz/AQ0rX9uYDC+WcurcUgkCsqmlaIUFx63gI3FhaceDgYl8ZqTAHjFDTMdgpE48ZA375FgoaBwOHsbC1EpF3iShMP4wSFCisHJ0rmgHeNDzvA1/5R0i11YEWmybhavrz4a086yYrR4UGytEXtrnp7bmH/K6fgsNPP1+7cVxi7YffHen1Yt4AnI3/PedegsQn1D5gIHasTxZ1yeKxOZkwyyxKlkB+bS9ruJg7eDtT9mZZk1phxChoKHCEiTbhqpvlCMTgxJJHEja+Kwoe1azjKajHx5pvAo49aJnC7OjNH797ANdcA555bvHy6r8wrp+uB78/ATScD2mWiTf2qxYKXbXiL67PrOJ/n9rzjNbxjOZx1emy3iZNgWlN448udwt2MJxdLuNwpkbZqeM9l09qVYjJv8eoiozXGGQzMnk12TS1fsL4Me9pRyFDU0MoaxVZ7QsRdQ2HF4CQpzoM6RU67BtVw88AjfR7Yy5WzRAxjisaPBx55xEottXtscTAV/tJLrcE4HW9BQYHijHNxvn+RdaarUf7Ok03DmhWwfueBwq7fn/22oXB75MO563zWEuJn8q7T46sGjX0SJ74+u3fncy69A2Z/XZdV6N6L5+7goRCNwN94OQjGw34wm5E9mpyCxr6Y8EfDhkXWGS5prWGdLSFizYlxEmuqv0OS4n1Q9ydunJQvD1x1FTBsGPDuu8Azz1gHZTtbgxlXHEwhPeWUTJzbvC/m71+JPw9tMn5+Cg7iSygwRsfXfp3e8YhiFh32ylq384Bjr4qsPN6vpXByZknxj9akVuVCi0RJJ/FgrFwUN7ZFyX4uHq7+g7G+BFonUlYN7/eMh4NgLPaDVYCZ0WQLGrqbsrP9r88sJsbL2K4mjqZNld0k4pcT4yAwX0HGSWzDLWusBl0ztN4wY+zDD63Owb5IKZ+HcrX3Ir3aAdP/Ki0jHyiXh/7ta5nGn63rV0HbzOqmXxcDJ39fn40/t+xHo+qV0bx2VSzduBdrtx9Ag6qVkF8ATFm2Eanl8pBSPh9X9GuM4zpUR6NGMOOXrVswe9UObNp90KSb29jp5844C55oA/mJS+p8XlLdnli5gIKJKSlpndLUCQpGUCVCrEsk2LixKHaGgoa1aAL1bWKTSbqYbAsNXU+sRyNEspMdQgytLDhJgq8TUFkVNq8q7atJZo6xseinn1qxOQy2tvHkpiN3Uw0znEyc4W/L/NE6f7jMW3XmrrYuvPX0FOBpxzMVKmSiTZtMFFTfjWxPZaTXy0bFhrt8Vl4uyTXh7WbzdkF5V172rtsTKxdQMNaXktYJxaoR7GeJ11iXcMK5+HH5DjT0ZKJgc+1CQWO7dP1Bq6ftauKStWjoGhZClB4JnCQgGvEU1asDV1xhDRYSo8md/WzGf5aNZb+nIz+74l+hxpGFworBmAD7gBX1AjvYOAf7a25BxUa7UK7RTvRoHryLxA6WPqFt8SwfWwDZIsfbPeXPqmFnr9mCKdwn+2BiSoJZJ1gBHKxwiYdYl0jA3zv7Nb09YS8++DwFuRtaoyAnsDph3yanoGneXO4mIcKNBE4SEO0rZ2ZTnXCCNf522gGr1k1+CnL3VEDB3gooyE1Hk2pVsWZzLvIPpSLFk4rerWti14EcLN26G0j1IDXVgxOOqouLezY2V7IMnvznN0sxf91OU2mZVqFGVaugYeVqqJVWFRk5VbBuHbDojzxsXJOGgoLiYmrrugxgXRPsXWDF+lw7FTj1VOC00zJx10mZJr4o1CyfQALJn6j0FdcT7pN9MMItnHEnwQqXeIm5KSv8ndE1O3OmtfzlF8u1erilsSizkoH3trWThfVq1YrFnguRXEjgJAGRuHIOpdjdwLb1sGzrXmxI34+CGgfMfnRsm4Jtjv4+xx6fboJ1K9creo8rLjkCJ/4VzsJtZ9fciAooCvTZyeBmO57j2qJ6NE3yU5CzszJOqN8a9XMaGhfB/Pn2Schi5UrgX/+yBt24p5wCtO2zC3kNNuHYttb+24HQgUSIM4PL+75THDF7i4+xtk9J2WvhiM0JxvribENw1Vtz/RZkDOa9ghUu8RB4GAqMC2O8jJ0tyFFSMb3USjnIaLQLl51RGcPPrmoaUfoS0EKIyKIg4yQJMg5n8bdgi915P0b8VSW2Gxo68Wf18IbbPL5tXWzKOohFm7J9boNuBLrMKHa++Qb4/nvfQZ6pFXJRqc1mDB3mweebf0caM6cAdGxUHX1b1y2sq+Or9o4zcNb7cedn956HsgT3lpVgCjLGK6EIwWDX3batyDLDwd+MM57MF23bFrmbkLkda/O2JlRFZCESCQUZC58E6kkTCsEWu/N+jCKkae3Kph6OfbKxs5G8xY2zAaZ3fZsjalUslirOx71f711ckG6zfv2sce+9QFYW8L//AZMmAV9+CdNclBQcLI+9vzXBv28FytWuhSod1qHy0Rvw2/rdZpBgmlg6rRoMcHZ207bnIR76MpVUkNENcWX+1qXAXby4uHWGvdcCway/jIZZOHtwBVx6RhWT6VTc3VTnryGEiDVyUbkU5xUrcR7gB7arVypXREkur5Ies2vdeJ9sTL8qL5wZSd7vd3gtHN94Fxd0wpTbCy6wRm4u8PfH1+PDD1NwYHkmPIesv8WhHVWxa3p77Pq2LSq13owqHdehQrPtJnuMFifOXzDd4W0B55wHf3Mf7UBcXwUZEyH4NxQhaK+bs6c88jbXwMMPpuKpXVYdmkC1ZwiDf1mtO6vqJvx6cCXS6mYjPY3uzGYYMiQ8peeFEJFBLioXuqgO7/FTr9CCQOwr9rK4Iny5vIJ5zFePElo4nBaYOlXKo1PjGsWEgHM7vtxZvgj2czqbfubnpuHAH/Wx57fGyFl/+Ik+rdp+VDlmPbqdtBt3ntuksMpxSS0fQnERRruXlGl46VXhOd6bUZbkymPfJsZdMbtp0jcHMXOWB/l7mMnnH8bJdO1qCRoGAnM0aBDc+wkhooOabYZxghIRbxFBlwgFgb+u3dHCX+do4quruHdMi7dFyonztU58fU7v9gvOpp7O1zVKrYffvqmJPb83QsH+DK8te1Ch+TZU67ABFVptxutX/C3iJ7xYiYx4PbnbQrBLo9rIzM80YoaDcTN0PZXkkrVrz1DIUNQwGDgjo+T3S+QMMCESHcXgJDnebg5aQjhsy0e43B+hBnnaJ0ly9BHVULeqdTYJFK/Cx3y5tWiVsjuRm2ykhtXQoHoFTFu61bi3iN2qwfk5/bVfcGJnTZ16XFWsyV+Kmsctw76V9ZC/pDl2LqsFeLjlFBxcVc+M1IxDuGfRHlS5z6o4+9dHTLhaRv6IpwJ9tMwsWGBlNv3ySyZ+/TUTj/wO5OQEfl2VKpZ1huna9mDl61C+q0TLABMi2VEMjgvxl7ZrW0LCcRUa6gnXu7kmA3YpJCi47Nf6ilfhfvo6wVKwOddjqjX7QjldVx0aVcf1J7Qutl/ObRGKG1vs+CroR1eZma/hFEl5GP7iNOxb2Ah7FjRGfrbVPp1F3eZNroXek4EjjwQuvNDqrn700eETO7EUGbEo0MevZ9MmW8hYS46SgoAJayax8aRTzDDTif3QRHy6HIWIBBI4LsXf1Wa4rkJDPeF6V/0tFBeObKlA4sz7BOtrPWfrBC67Nqt12D55B9XCy5LD123afcDnfPGkkF7tIGr0WYFqvVdgcO1jMO2zSlg5p0ZhYPIffwBjxlijdWvgrLOAwYMtF0gg90csRUZJJ7tg6tyU5YRJ6wvnjY1bnWKGKdslQQHJeXZaZ9jmgL2cRPxZA4WIJhI4ImInXF+do5/75g8s3phdGC/jq3+TLxHGYoE8mzmDYL3X8xZR/jKoGtesiHW7DhQLat6+N7fwdUs2ZZsTgPeBv7ioA9ZXWIN+IyrgULcd2PtHA+z9vRFy1hZ9luXLgSeftIadpn7SScCJJwLt2gGpfMMgiVQV4FBOdv5iWoLdxvbtlpCxx7JlVqwM5ylQ40lnRWBaZihgODp3tjpsV64c8sdOauLJ5ShEJJHAiSNYjI5X+YlgSi/phBvopOeMgfHu31RSgCsFTqB94vZYEZkWGS7pYvIuymfrCtsltXNfrrl/RK1K2LBrvxFdvg78dmXjFIcQWrQxG8iAyaziyN+TgWpbmqHc2iZYOL88CgqKvtuvvrKGnabOGiqM2eHgybqepeECfr5wn4iCOdmVJGDsbeRx4vZVwEdf7sfOhZY7ySlodrL0dJDUrWvNiS1mOGipoftJlA239gQTwhsdLmIIT3p2Zd2pUy3zPPsutWplXemffbbl2ohXwePrhGtbbZwtCfwVwAvGEhHq1eayzdmWAPEhUrwLBtaoXB5Z+3ML122TWQXrdu73eeDn5zLCyRGvY7+OAdOMKeJjaVVzcKDaMuxrtQwfPNsNh9bWM93VORhTYmMXGuSwqV0baN/easTIJeNGmjQBGje2LECxOtkZ119BKnL2lQP2V8B//u8g1jUC1qwB1q4FflncCmv/aIo8NlQtSMXrgBnBQEHPz8nPzGGLGaZnRyJYW7inJ5gQJSGBEwMWLQJuuAH48UeryJwT3qfZnuO556yr+jPPtGI52LwynnvaBGpP4KsAXrivNr0rInuv7+wtRXFyUfcmRrQ4s83a1K+GGcu2on+ben7dU06Rw/sMZCZjPl9kChDawmdp1naMvrgeLr7Ycu/we58yBZgxw+q2vtWrlM+OHVYLCQ5v6tSxhA4zfyiEaAGqWdNa2rfZ0Z2/D7s5KQdv04rE3xX7KnHYt7ncvz8T51bti8VrDqBuRhV8Pa4KPt5tVXbessXax42b2mJPdlGa/X/+GkXwRxn4h8l9ZwB2mzbW0h5NmyaPVSaeAnuVESaSgSQ5tMQPPNFdfjkwb17RgX/gQGDAAOD4460TDwuUffop8Nln1gnm1VetwRPYeecBI0daNTvi7WDtbW1xtiSw6/OEenAP5WrTO1NrQLsikVLMAuOxXGN3DGpTlCX11z7agoeuJ6d7y1to+cK7fYRTXNEawawqjltuAb5etAVfzczG1j8rY9KUg8jbXhW526sif28Fn9tm/AoHrXzhp/pfwx8lBwuxnBTFCgetTlyyCjAFDS2SvixQ/E7e/So+TviRRoG9QkQfCZwow343FDcMmGRBMprlvU3xPDnQPUWxw6v9Tz4BJkywrqhff90azBah0GGrgWhnjPg7WPuqv+PdeLI0WRvBXm36en8bb/HFysPe26YA8+cOK6lWj7Pvlre48jV/V/+nyNJVa4D1OO9f0LEFTm3S1lh7/vzTcgHZY8OG4IJxw0nVqpYV0R6ZmUVLW9BwUHyHQrKd8BXYK0T0kcCJMnQ7kUsvta7mA0H3AjNuOF580XJdvPIK8N//WhVbOW691bII/f3vlsk/GgTTYNJpbYnWwT2QtScYV1dJ6wSq1UP8iatA8UlOeP/4DjXRu70Ve+XN5AVb8M3Pu9G2Vi20r1PHxPHQlcQlx+7dltspL6/IHcXBGC7+lmz3FZezVm/Dwo1ZQLk8pGfkof8xNXF5/0bGEkOxwkEhE27xXFKMllvdSwrsFcJlvah27tyJG264AZMmTUJqairOOecc/Otf/0IVlhX1Q//+/fHtt98We+yaa67B2LFjC++vXbsWI0eOxPTp0822hg0bhsceewzpQTrzY9WqgUGZLVpYMRGsxsoU19JAS86bb1pih9u0oZuLVp0zzohsXEOopfvjpdR/MEUOgy2EGGwvrkDxSd5dvGn1eX1Yt7DNeaATciy+k0AxWtH+TZS2CndZ9lWtHoRwUS+qIUOGYNOmTXjllVdw6NAhDB8+HN26dcN7770XUOAceeSRGMNKaX9RqVKlwg+Sn5+PTp06oX79+njqqafM9ocOHYoRI0bg0UcfjWuBc+edwFNPWUKEmVNlhe4KZuG8/DLwxRdFdUroMmCcx5VXWiXqI0GoB2s3HNzLchXvqz8YcVqCAp04fTUp9ddHLNgTcmm+k3DPgR2jFc+9tUKZeyFEEgicJUuWoH379pg7dy66sswoTeyTJ+Pkk0/G+vXr0bBhQ78ChwLmOduX48VXX32FU089FRs3bkQmAwEAY9256667sG3bNpQPIs0oFgJn714roJiuhEmTgFNPDe/2acl57TUrGNmuAMvMmuuuszK26G4QpT9pl/Uq3t/rQ7EYBfv+kTohR2oOyiqcQn1tqPMTCWtXPGVUCZFIhHL+DqGWamjMnDkTNWrUKBQ3ZODAgcZVNXv27ICvfffdd1GnTh0cffTRGDVqFPazYIxju8ccc0yhuCGDBg0yH3oRIzN9kJOTY553jmgzfrwlbphRcvLJ4d8+rTYPP2wJHXrzWBSN8Rl8jFktjNFZuTL875vo2Cevt35cZZZP/W+Zz/V8xRGVJj6IJ1PnCZJLnlxLOsn5e70veNK09zOchdzCMQfMXmvboGqxAo/2d0DRwSXvB0tpXhvq/IQy95Ha53iB+0qB6G+fS3peiGgSsUiNzZs3o56X2YAxMrVq1TLP+ePiiy9G06ZNjYVnwYIFxjKzbNkyfMJUor+26xQ3xL7vb7uMz3nwwQcRKxhz8/zz1u0bbwytRH+oMCj0mmuAq66yUs3ZJoB6kvE6b7xhua3uuw/wY0CLOPF25cp9sSsTE+/qx8EGiQbzuZxByjwJsC7Pgdz8oOci2GyySBVyK2ugrJ2q752GX5Yg9FBfa39PFFjMpAt2fsJZNyZRM6pKynxLtsw4Ef+EfKq9++67kZKSEnAsXbq01Dt09dVXG4sMrTSXXHIJxo8fjwkTJmBlGcwPtALRnGWPdevWIZowToZ9d2hNY8ZTNGDmDFPNZ84EvvuO8VBWdg2FTsuWVjwQC8tFk3i8cqXIcPpoKXZ8WSYCXcWH8rmcFiOe7N/6aVVE5iKQZai0V9lltWT4swCVxeIUymud3xPnPlbxYJGysEWakix4ZbXwCRFzC85tt92Gy0s4S7do0cIEAW/1KtWal5dnMqv4XLD0YMMesK/NCrRs2dK8dg7zox1sYVoR4He7GRkZZsQKO5yIVhXWFYkmrLFz7LHWYJr5PfdY7SEY7Mx4nQcesOJ0mD4caWtMpK5cnfthv0+w+0QLijObiUt/Jxx/V/GhfC7nusRf36tIfQfRqknka/9sC5BdAdqe57JYnEpbCDJQ361IWxgTtVVCSRY8pcInriXbrYQscOrWrWtGSfTq1QtZWVmYP38+unTpYh6bNm0aCgoKCkVLMPz6669m2YDNaf7a7iOPPGLEk+0CmzJligk2YlBzvMGWC+xDRLfU9dfHdl8ocmjNYcNHCp3ffrOyrRicTBcas7uCpTQnykgcAL33g5Rmn4Jt/lnWz+X9fmwbEeg1gQ6EpfkOoiEyvWNr7P3j3Dr5cO7aYqKptPtR2kKQvtyM0XKxhNPlFS1KEmaJKtyijVx5LojBadeuHQYPHmzSt5nlxDTx66+/HhdeeGFhBtWGDRswYMAA44bq3r27cUMxhZyZVrVr1zYxOLfccguOO+44dOjQwbzmpJNOMkLmsssuw5NPPmnibv7xj3/guuuui6mVxh927A1r07B0fayhRYdBzoMGAePG0X1niTC2izjnHOCZZ6yA5ZLwZ44OdFUSiQOgd3sGEsrJOxz7FMo2nOtWKJcWMA4k2C7eoXzeaIhMez+99489vpzWq6lLtpo0+WjFapT0PSVqbEw0KUmYJaJwizb6nUWPCIa7WtlQbdu2NSKGoqVv3754lX6Rv6DoYQCxnSXFFO9vvvnGiBi+ju4wFgdkoUCbtLQ0fP7552ZJa86ll15q6uA46+bEC4xxYfYUuflmxBWM0aHL7I8/rMBn3meFZBrB6L5iBdxQ4gh4sg4mDiXYrKFgce4HT5scoZ68w7FPoWzDXpe9sAK9pqSYhtLEcoQ7IyjQfnrvHxuYOoWo/V1FM1Yj0PeUqLExIrHQ7yx6RLTQX7wSrTo4jz9uWUg6d7YaaHr3nIonfv/disWhC4uwjQTTzfv08f8aZw0XnuRiVQzNuR8kkUzkwbqg/NVfiYcCiiXVt3HuH+/TNRVsgcNoEw/zKdyPfmcJXugv2QUOLSB0SbFB4ltvAcOGIe7hL4EWp9tvtzpXE1p5nngCqFUr8GvjpR1DLClLwG9JAoYWslBSyqNNMla2FkIkaaG/ZIdleyhuGAd94YVICGhhohBjlj+FDWHn8jZtLOETSApHwvWRSJQmBT6YtFrOI8VNJFPKw0Uol0rhdlUKIYQ3EjgRTg2/9lqmqSOhqF3byqxiWvlRR1nWHAqfE06wxI8/kvmkVZoaIMH44u3ieHZKObOugtm2XeuGlZkjXVk2HusbCSGEBE4EYOXgWbMYNG21SEhU+vYFfvnFclGxQvKMGQCT2ejCinaRwHgnUgG/FE7OPylFTknbjlYxwXAVeFN5fyFEJJDAiQD/+pe1vOgitpFAQsMCgKx6zFTyU06xYouYSs5qyI89BjjahCU0ZTnJOsv/h+qiK8nqReFk6uX8dT+YOj224LDbTziLCcZbVoisP0KISKEg4zAHGa9fbwUXsy3Czz9bGVRugTEWbDtx991WkUDCGKMRI6z+V+yWnoiUJUA6nMHV/oKUSxPAy31yFhOkyIlkbFRpg4YpKmlhst1vw/s0j1r2nRDC3UHGESv0l6z8+9+WuOnXz13ixg5CHjyYxRaB998HRo8GVq0CHnnEsuacfroVUM2igYzjKSucx927rcFO7Hv3ljwOHLDaYdSoAdSpAxx5JNC9e+DmotFs9uiPkor6hRrAG2wxwXBR2gJv7AVGcUO45P4KIUQ4kMAJI3TXsJkluekmuBa2nbjkEuD8862O5RR106cDEydag0Lob39jNWugVSvLTcdAa8YkHTwI7NtniZE9eyzhYgsY7yXXCxd16uejbvN9OPEkYNTfq8HZtizY6r6+LCw8QfM1JbVcKK1QsoUPSyiF0j4gUSrKMvW90NIEGDEmkpuCAuu/z+MDjxO8zeNGTg6Qm2stA90O9Fx+PpCebhU25bBv+3osEredSxofeBHGi0EeG0X4kcAJI+++C+zcCTRrZlkz3A7jc8491xqM0WHrh8mTraKBLGzIEQ4qVwaqV7cOCFWqWPe59DUopHhQpEjatAlYuBBYtMiD7ZvTsH1zNSyZCbwwxoNevVJw6aXABRcE12rBl4WFMIjXnKA9petjVZLI+nCO1a/JNuCwSF6khUs0GwGqQaP7xAn/e7t2WYPHQ1/L7OwiAWNf7NhLt8T1hQKtzhQ6bLnYooUV42gvOXhBFs+FYuMVCZwwwh9hp07A0KGWSk8m7BYPHKz/wyyyFSuA5cutg5p9JVWhQnGBQlcSxYtz6bxNUVOaTudO7v1oKcZ9moUD62viwPL6yNlUAz/9BDNoaTvtNH5nmbhrSKbfKylfFha6jZyPlcX64FdkHXZQS3FVI0A1aEwMKD54wRBobNtmZVfSShIuSzFP/Dxe8LjB/yYvYOzhvB/Mc6t2ZmP1zn1oVqsyWtWtZvaTbnAunbd9PVbS86G+xna/89hIUUhhx7F6NTBz5uFzwSxWb+FD6zhDIfic8I2CjMMcZMyTnm0GFfFhSfAOBH5sUHds/rWuKV74V7N6A6+gmPlGgdq1a/ErJl/BxCTS1ZudLipacSItOBj0G6uWGyI20P3DEyvj6ezBZAmneOHJNxQqVQJq1rQGq6A7lxy8gKF44UWOvXTe5pKiJlxWi3ittE5xQ3c8hSEH5/3PP4GVK4vG2rXWer5gYsfDD8NYoykIk4FstWoI3wSJ2BDuA5K/LJ8FC4D//Ad45x1g8+ai9du2BS67zDpwNGnifxvRaDkQzbYGwQiqaLqwwkGi7W+4obVg3TpLuHgLGQ4KmGCgJYUuFHswcN++Tes1Myrr1rWEDMVJPJHIwp2lOdasscSOU/yw3pr93dFzQOs5EzzcTrYETvgmSCTHAYkngalTrZYUEyZY2ViEV5Cs4Hz55cBZZ1kHeTefSEsSOPF6JeyPRNvf0kKrMcULK43bgydBChiKm5LcRrSasLyFPSjqvYUMrSqJiht/B7S8Pf888OijlruLDBoEPPmkVZDVrShNXCQ80Q4+pUuRBwcOBkCyl9jbb1vVmyl8OCpWKkDb3rtxyWUe3HpZLb8uLH+xKyUJoHgQSCWlvYcrLT5aJNr+BhMLs2xZcSHD8ccfVoybPxiHwuQHp4hxDlpd3BzE6sZYL1rJWIT1yistN9VLL1l1yr7+2rogGzMGaNQISY1icGTBiVvioeM0r4pp1Rn7eh42rSsKrGrYOA+33JiOK66wTg4lWZxKuoKMlyvMRNnPYEm0/bXj+Biob4sXp6BhjIY/GEjLxrh0r3IwCNUWMLTAJEuMRrJCi9299wIffmjdr1gRuOUW4K67rGQNtyAXVRgnSAjy4GeL8cpHu7Fn4RHYt7QBPLnlCq+iWBOo65AdeHzuLL8n0pIEULzECFAQmNT0lBRc0K2xX0tTrIVnKMTr/tLFwExDb2sMBQ0tNf5grIstYpyDbqVky94Uh8PYnDvusJolE9bauf9+q9p8WTNS4wEJnDBOkBDeloBDOak4t2YvTPtv9cKWFeSozrloP3ArLr+4HE7ulJlwlpF42Ae3QWvM1q2WC8nbtcT4GH/ZMRQqTAX2FjG00NBiKERJv7vPPrOsN/zdkdatrYrzZ5+d2O5ICZwwTpAQ/iwBPIiwls6LLwL/939WoLJ9hU3XFXt0sWaFv9fHm6UhklakeIgviiQsXkcRw7pPHM7bjOnyBw8/rPjtFDBcUtyouq0IRwbWG29YFhwKbdK7t5VxxWUiIoETxgkSIhiYrvnqq1arDjt1k1dJAwZYtXWYgcX6H/FMpCw4brEMMVOFabreAoa3WcPEH/wdsF6JU8jYg21MEvlqOtK4XRhHiz17gKeftoZdKZqWnMcftyw7iYQEThgnSIhQr5g+/xwYO9bKZrCh75sZWmwNwYal9IvH4wkiElakeIkvCgTTqHmFu3GjFcjL4HLvwYJsgWAgL5u78oTBYd+mNSbe6sIkAm4RxvHExo2WNefNNy33KLNH//534L77rBpGiYAEThgnSIjSwqt9dl1nVgN7Ytnwip2d5lmU6/jjrarJwQie0oiVeDhBxHI/mDpN6wrbCNCyxgM8M5S4dA4WeQymxQC/J6d4sW8zY4m1ZEpCFgl3CeNEZdEiKz7niy+s+6xxdPfdwM03W1Wo4xkJnDBOkBDhgM1IKXRYRNApdmxYo4RCh24LnjR5wuSSJ1QKotKIhHg6QYTDMmSLFY7t24uG8773c6G0GGAaNV1GRxxhpVY3bWp9L/bg/WBETLwLzkRB8xV5pk8Hbr8d+Pln6z5/+6ypwyru8ZqRJ4ETxgkSItzQWsDCgVOmWI31GMPhD/bsYfrv/rS92JKXhdTKOUiveAh92lfDpf0amoakjO1xLu0+aN4nCHY7P5CbH/N4BlpKnB2nncOXSLHvBwrWLUm42J2aWZWXgwdy+7Y9GBweyR5y8SQ4E4VYB94nAwUFwAcfAPfcY7WEIKyEzIrIdKvHGxI4YZwgISINYzt4BcXBoFW7CztL7JcGWhnshob5abnITclFxcoerNq9G2nl84ByeTi7R310blnFrLtqdxZW787GMU2qonuLmuYkbw9exdlLHgjtbsi0pjBYkWPfPmDuit1Ysm4/GlaugiOqVjWPUZD4EjEUN8xAK61YYZo0LVscFC72bX/3KfriocidLBIinjl40KqGTAuOHW924omW0GGvq3hBAieMEyRErOIq2A+LcTyMGWH8yPe/7cHiP3NRNaUSKnoqmoMQBYO9DLXjc6xxdpy2h1Oc+BIs8SJWSossEiLe2bnT6m/1wgvWhQxd5HRZPfRQUePhWCKBE8YJEiJRrsppWbFdPxQ9vE3Rw6q4c/7Ixn++3wDkpiM/Nw19m9ZHtfRK+HnlHqzbkouC3HSgIAXVK2SgRoUMsy0O22LDQSuObdFhVhgbj1KkbDuwD1v27wPS85BavgDtG1fCce1rmcBFW7jQ6uItZtxS50WBw8KNrFpltX5gooTdCoRByKNGWdbhWCGBE8YJEsItcRW+rAfhEGjxJPKiTTJ/dpEczJtntX5g42FCq+ro0cDIkbG5SAnl/J3Axl4hYg/dUra4iUbX87LAEy/Fl/MEbHdZpjAr7ck5HNtIVHx1KxfCTXTtCkybBkyaZBWrZNA/LTnt2wMff1z6eLpooG7isuCIMqK4iuRFFhyRTOTlAePGWYUBmQ1KevSwKiT37RudfZCLKowTJIQQgZDAFcnG3r3AM89YPa2YMUnOPNNq/cB+apFEAieMEySEECI4FHCdXGzeDDzwAPD661ZCApMQrr7aagfBopmRQDE4QgghYuKuY9A9l7wv3E39+lbfPVZnP/10S+S8/LJViZ31dGzrTqxQkLEQQogyo4Dr5KVdO+DTT61Mq27dLBcWM61OPTW2+yWBI4QQIqkyCkVk6NcPmDXLav3Afm433oiYoiwqxeAIIURYUMC1sGEVZBYEZSXkWMXgRLC1nBBCiGSCNZCSqQ6S8E88VCqXi0oIIYQQrkMCRwghhBCuI6ICZ+fOnbjkkkuMn6xGjRq48sorsZfh1X5YvXo1UlJSfI6PWRP6L3w9/wGjmoQQQgghIh2DQ3GzadMmTJkyBYcOHcLw4cNx9dVX47333vO5fuPGjc36Tl599VU89dRTGDJkSLHHx40bh8GDBxfep4ASQgghhIiowFmyZAkmT56MuXPnoiu7dQF44YUXcPLJJ+Ppp59Gw4YND3tNWloa6rNykIMJEybg/PPPR5UqVYo9TkHjva4QQsQrqvIrhEtcVDNnzjQixBY3ZODAgUhNTcXs2bOD2sb8+fPx66+/GteWN9dddx3q1KmD7t27480334QnnluaCiGSGlX5FcJFFpzNmzejXr16xd8sPR21atUyzwXDG2+8gXbt2qF3797FHh8zZgxOOOEEVKpUCV9//TWuvfZaE9tzo5+qQjk5OWY48+iFECKWVX6VTi1EnFlw7r77br+BwPZYunRpmXfswIEDJlbHl/Vm9OjR6NOnDzp37oy77roLd955p4nT8cdjjz1mCgPZg7E+QggRLVTlV4gEqGS8bds27NixI+A6LVq0wDvvvIPbbrsNu3btKnw8Ly8PFSpUMBlRZ511VsBt/Oc//zHiZsOGDahbt27Adb/44guceuqpOHjwIDIyMoKy4FDkqJu4ECJaqMqvEHFeyZhioyTBQXr16oWsrCwTR9OlSxfz2LRp01BQUIAePXoE5Z46/fTTg3ovxunUrFnTp7ghfNzfc0IIEQ1U5VcIl8TgMHaGadwjRozA2LFjTZr49ddfjwsvvLAwg4rWmQEDBmD8+PEmWNhmxYoV+O677/Dll18ett1JkyZhy5Yt6Nmzp7EGMQX90Ucfxe233x6pjyKEEEKIBCOidXDeffddI2ooYpg9dc455+D5558vfJ6iZ9myZdi/f3+x1zErqlGjRjjppJMO22a5cuXw0ksv4ZZbbjGZU61atcKzzz5rhJQQQgghBFE3cXUTF0IIIVwXg6NeVEIIIYRwHRF1UQkhRCKj6sNCJC6y4AghhA9UfViIxEYCRwghgqw+LIRIHCRwhBDCB6o+LERioxgcIYTwU5jvtaFdjeWmZ4va6h0VJhTXJKKF0sSVJi6EEFGNa7JdfxSQajoqQkFp4kKIpIcn0zGTFpuliA8U1ySiiWJwhBCuQxlQ8YnimkQ0UQyOECIpLAVyhcQexTWJaCKBI4RwpaXgzR9XFYocBgmL+EBd1UW0kMARQrgOWQqEEBI4QghXIkuBEMmNgoyFEEII4TokcIQQQgjhOiRwhBBCCOE6JHCEEEII4TokcIQQQgjhOiRwhBBCCOE6JHCEEEII4TokcIQQQgjhOiRwhBBCCOE6JHCEEEII4TokcIQQQgjhOiRwhBBCCOE6JHCEEEII4TokcIQQQgjhOiRwhBBCCOE6JHCEEEII4TokcIQQQgjhOiRwhBBCCOE6JHCEEEII4TokcIQQQgjhOiRwhBBCCOE6JHCEEEII4TokcIQQQgjhOiRwhBBCCOE6JHCEEEII4TokcIQQQgjhOiImcB555BH07t0blSpVQo0aNYJ6jcfjwX333YcGDRqgYsWKGDhwIJYvX15snZ07d+KSSy5BtWrVzHavvPJK7N27N0KfQgghhBCJSMQETm5uLs477zyMHDky6Nc8+eSTeP755zF27FjMnj0blStXxqBBg3Dw4MHCdShuFi1ahClTpuDzzz/Hd999h6uvvjpCn0IIIYQQiUiKh2aTCPLWW2/h5ptvRlZWVsD1uBsNGzbEbbfdhttvv908tnv3bmRmZpptXHjhhViyZAnat2+PuXPnomvXrmadyZMn4+STT8b69evN64MhOzsb1atXN9unJUgIIYQQ8U8o5++4icFZtWoVNm/ebNxSNvwQPXr0wMyZM819LumWssUN4fqpqanG4uOPnJwcMynOIYQQQgj3EjcCh+KG0GLjhPft57isV69esefT09NRq1atwnV88dhjjxmxZI/GjRtH5DMIIYQQIgEFzt13342UlJSAY+nSpYg3Ro0aZcxZ9li3bl2sd0kIIVzBlMVbMGbSYrMUIp5ID2VlxsdcfvnlAddp0aJFqXakfv36ZrllyxaTRWXD+506dSpcZ+vWrcVel5eXZzKr7Nf7IiMjwwwhhBDhg6JmxPh5SEtJwZs/rsJrQ7vixPbFrfBCJITAqVu3rhmRoHnz5kakTJ06tVDQMFaGsTV2JlavXr1MsPL8+fPRpUsX89i0adNQUFBgYnWEEEJEj5krdxhxk+/xmOWsP3dI4Aj3x+CsXbsWv/76q1nm5+eb2xzOmjVt27bFhAkTzG26t5ht9fDDD+Ozzz7DwoULMXToUJMZdeaZZ5p12rVrh8GDB2PEiBGYM2cOfvzxR1x//fUmwyrYDCohhIhXEs3d06tl7UJxw2XPFrVjvUtClM6CEwos2Pf2228X3u/cubNZTp8+Hf379ze3ly1bZmJibO68807s27fP1LWhpaZv374mDbxChQqF67z77rtG1AwYMMBkT51zzjmmdo4QQiQyieju4f5xP2m5obiJ9/0VyUXE6+DEI6qDI4SIN2i5efun1YUWkcv7NMPoU9vHereEiCsSsg6OEEIkM3L3CJEgLiohhBDBI3ePEOFFAkcIIeJI5CiORYjwIBeVEEIIIVyHBI4QQgghXIcEjhBCCCFchwSOEEIIIVyHBI4QQgghXIcEjhBCCCFchwSOEEIIIVyHBI4QQgghXIcEjhBCCCFchwSOEEIIIVyHBI4QQgghXIcEjhBCCCFchwSOEEIIIVyHBI4QQgghXIcEjhBCCCFchwSOEEIIIVyHBI4QQgghXIcEjhBCCCFchwSOEEIIIVyHBI4QQgghXIcEjhBCCCFcR3qsd0AIIUpiyuItmLlyB3q1rI0T22dqwoQQJSILjhAi7sXNiPHz8PZPq82S94UQoiQkcIQQcQ0tN2kpKcj3eMxy1p87Yr1LQogEQAJHCBHX0C1lixsue7aoHetdEkIkAIrBEULENYy5eW1oV2O5obhRDI4QIhgkcIQQcQ9FjYSNECIU5KISQgghhOuQwBFCCCGE65DAEUIIIYTrkMARQgghhOuQwBFCCCGE65DAEUIIIYTrkMARQgghhOuQwBFCCCGE64iYwHnkkUfQu3dvVKpUCTVq1Chx/UOHDuGuu+7CMcccg8qVK6Nhw4YYOnQoNm7cWGy9Zs2aISUlpdh4/PHHI/UxhBBCCJGAREzg5Obm4rzzzsPIkSODWn///v34+eefMXr0aLP85JNPsGzZMpx++umHrTtmzBhs2rSpcNxwww0R+ARCCCGESFQi1qrhwQcfNMu33norqPWrV6+OKVOmFHvsxRdfRPfu3bF27Vo0adKk8PGqVauifv36Yd5jIYQQQriFuI7B2b17t3FBebu46JKqXbs2OnfujKeeegp5eXkBt5OTk4Ps7OxiQwghhBDuJW6bbR48eNDE5Fx00UWoVq1a4eM33ngj/va3v6FWrVr46aefMGrUKOOmevbZZ/1u67HHHiu0KDmR0BFCCCESB/u87fF4Sl7ZEwJ33XUXtxhwLFmypNhrxo0b56levXoob+PJzc31nHbaaZ7OnTt7du/eHXDdN954w5Oenu45ePCg33X4HLdjj8WLF5f4OTQ0B/oN6Deg34B+A/oNIC7nYN26dSVqiZAsOLfddhsuv/zygOu0aNECZYHZVOeffz7WrFmDadOmFbPe+KJHjx7GRbV69Wq0adPG5zoZGRlm2FSpUgXr1q0zsTx0gSU7VMSNGzc2c1LSfAvNcTyi37Dm2A3od1wytNzs2bPHZFqXREgCp27dumZEClvcLF++HNOnTzdxNiXx66+/IjU1FfXq1Qv6fbh+o0aNyri37oPiRgJHc5zI6DesOXYD+h2XnJQU0xgcZj7t3LnTLPPz840QIa1atTIWFNK2bVsTH3PWWWcZcXPuueeaFPHPP//cvGbz5s1mPcbblC9fHjNnzsTs2bNx/PHHG+sL799yyy249NJLUbNmzUh9FCGEEEIkGBETOPfddx/efvvtwvvMeCK0zPTv39/cZp0bZkqRDRs24LPPPjO3O3XqVGxb9mvoZvrggw/wwAMPmMyo5s2bG4Fz6623RupjCCGEECIBiZjAYf2bkmrgOKOgWaG4pKhoZk/NmjUrbPsoLCgc77///mJxSiK8aI4ji+Y38miONceJRgojjWO9E0IIIYQQSVPoTwghhBCiNEjgCCGEEMJ1SOAIIYQQwnVI4LiE7777DqeddpopfsTihRMnTiz2PEOtmNnWoEEDVKxYEQMHDjT1hpwwrf+SSy4xNRjY/+vKK6/E3r17i62zYMECHHvssahQoYIpDvjkk08iGWA5g27dupnyBKy5dOaZZ5osQO/2Itddd52p38RSCOeccw62bNlSbB2WTTjllFNQqVIls5077rjjsF5qM2bMMAH1DOpkWYVgG9YmOi+//DI6dOhQWAOkV69e+Oqrrwqf1/yGF/b047Hi5ptv1hyHEWb5cl6dgyVRbPQ7jiIh9VAQccuXX37puffeez2ffPKJKWM9YcKEYs8//vjjpmXGxIkTPb/99pvn9NNP9zRv3txz4MCBwnUGDx7s6dixo2fWrFme77//3tOqVSvPRRddVPg821xkZmZ6LrnkEs/vv//uef/99z0VK1b0vPLKKx63M2jQINN2hJ/7119/9Zx88smeJk2aePbu3Vu4zt///ndP48aNPVOnTvXMmzfP07NnT0/v3r0Ln8/Ly/McffTRnoEDB3p++eUX853VqVPHM2rUqMJ1/vzzT0+lSpU8t956q2kp8sILL3jS0tI8kydP9ridzz77zPPFF194/vjjD8+yZcs899xzj6dcuXJmzonmN3zMmTPH06xZM0+HDh08N910U+HjmuOyc//993uOOuooz6ZNmwrHtm3bNMcxQALHhXgLnIKCAk/9+vU9Tz31VOFjWVlZnoyMDCNSiN2fa+7cuYXrfPXVV56UlBTPhg0bzP1///vfnpo1a3pycnKK9Sdr06aNJ9nYunWrma9vv/22cD55Mv74448L12FfNq4zc+ZMc5+CJjU11bN58+bCdV5++WVPtWrVCuf0zjvvNAdHJxdccIERWMkIf2+vv/665jeM7Nmzx9O6dWvPlClTPP369SsUOPoNh0/g8ELRF5rj6CIXVRKwatUqUxWabilnqWv28WI1aMIl3VJdu3YtXIfrs60Fq0fb6xx33HGmqrTNoEGDjKtm165dSCbsApWssk3mz59vqnE755hm6SZNmhSb42OOOQaZmZnF5o/9ZxYtWlS4jnMb9jr2NpIFVjJnUc99+/YZV5XmN3zQjUo3qffvTHMcPuj+Z7gAezPS7U/XtObYRYX+RPxgt7xwnljt+/ZzXHr380pPTzcncOc6rB7tvQ37uWRpl1FQUGDiFvr06YOjjz668PNT+FEkBppjX9+B/VygdSiCDhw4YOKn3MzChQuNoGGcAuOYJkyYgPbt25tWL5rfskPRyHY4c+fOPew5/YbDAy8cGTfH5s+bNm3Cgw8+aOIWf//9d81xlJHAEaIUV8A8WP3www+auzDDkwLFDC1k//d//4dhw4bh22+/1TyHgXXr1uGmm27ClClTTJKAiAxDhgwpvM2geQqepk2b4qOPPnL9BUq8IRdVElC/fn2z9M7o4X37OS63bt1a7Hlm9zCzyrmOr20438PtXH/99aYZLPujOTvS8/Pn5uYiKysr4ByXNH/+1mFWUTIcHGmlYeZYly5dTOZax44d8a9//UvzGwboguJ/nBl6tM5yUDw+//zz5jYthfoNhx9adY888kisWLFCv+MoI4GTBNCtxBPn1KlTCx+jy4OxNXQHEC55cuZB0GbatGnGHcMrEHsdpqMz1sSGV4O86na7e4qx2xQ3dJlwXrxddTwhlytXrtgcMzaJvnfnHNMF4xSSnD+KF7ph7HWc27DXsbeRbPD3x8a6mt+yM2DAAPP7o4XMHoy5Y4yIfVu/4fDDUhsrV640JTr0O44yUQ5qFhHMjGDqMQe/1meffdbcXrNmTWGaeI0aNTyffvqpZ8GCBZ4zzjjDZ5p4586dPbNnz/b88MMPJtPCmSbODACmiV922WUmdfeDDz4wKc3JkCY+cuRIk2Y/Y8aMYumf+/fvL5Ziy9TxadOmmTTxXr16meGdJn7SSSeZVHOmftetW9dnmvgdd9xhsrBeeumlpEkTv/vuu01W2qpVq8xvlPeZxff111+b5zW/4ceZRaU5Dg+33XabOU7wd/zjjz+ashAsB8HMS81xdJHAcQnTp083wsZ7DBs2rDBVfPTo0UagMD18wIABptaIkx07dhhBU6VKFZO6PHz4cCOcnLCGTt++fc02jjjiCCOckgFfc8vB2jg2FIvXXnutSW2mSDnrrLOMCHKyevVqz5AhQ0z9IB70eDA8dOjQYd9lp06dPOXLl/e0aNGi2Hu4mSuuuMLTtGlT87kp/PgbtcUN0fxGXuBojssOyzo0aNDA/I55jOT9FStWaI5jgLqJCyGEEMJ1KAZHCCGEEK5DAkcIIYQQrkMCRwghhBCuQwJHCCGEEK5DAkcIIYQQrkMCRwghhBCuQwJHCCGEEK5DAkcIIYQQrkMCRwgh/qJ///64+eabg56Pyy+/HGeeeabmT4g4RAJHCFEi27Ztw8iRI9GkSRNkZGSY5q2DBg3Cjz/+GPTspaSkHDb69u1rnlu9erW5z6aPNs2aNfP5GntQXJT0fhMnTiz22FtvvWW6O/vjk08+wUMPPRT0Z2Knc25TCBF/pMd6B4QQ8c8555yD3NxcvP3222jRogW2bNliup7v2LEjpO2MGzcOgwcPLrxfvnx5v+vOnTsX+fn55vZPP/1k9oEd2tl9nVSsWBHhplatWiGtX7169bDvgxAiPMiCI4QISFZWFr7//ns88cQTOP7449G0aVN0794do0aNwumnn27WWb58OY477jhUqFAB7du3x5QpU3xaUGg9ofXHHragaN68uVl27tzZvI6uorp16x62Xr169Qofe++999CyZUsjktq0aYP//Oc/xaw/5KyzzjLbs++H4qK655570KNHj8PW6dixI8aMGePTRcXX33jjjbjzzjvNPnM/H3jggWKvX7p0qbFc2XP1zTff+JwrIUTZkMARQgSkSpUqZvAEnJOTc9jzBQUFOPvss43QmD17NsaOHYu77rorpFmdM2eOWfJkv2nTJuMqCsSECRNw00034bbbbsPvv/+Oa665BsOHD8f06dMLrT+2xYjbs++HwiWXXGL2a+XKlYWPLVq0CAsWLMDFF1/s93W0clWuXNnMxZNPPmnEEAUfoUWKgqhSpUrm+VdffRX33ntvyPsmhCgZCRwhREDS09NNnAlP3LTA9OnTx1g3eKK3RQmtEuPHjzfWDVpyHn30UZ/buuiiiwoFky2aCK01pHbt2sUsNv54+umnjfXk2muvxZFHHolbb73ViCw+7tyebTGy74fCUUcdZT4PLUU27777rrHqtGrVyu/rOnTogPvvvx+tW7fG0KFD0bVrV+POIxQ6FEz2XNGS88gjj4S8b0KIkpHAEUKUCONfNm7ciM8++8zE0MyYMQN/+9vfjPBZsmQJGjdujIYNGxau36tXL5/b+ec//2kCie1x4oknlmr2+Z4UWk54n4+HE1pxbIHj8Xjw/vvvm8cCQYHjpEGDBti6dau5zRgizhVFlw3dfUKI8COBI4QICsaMUJCMHj3aBP3SgkJLRSjwxE7rhz3oyolnaHGiKPn555/NZ163bh0uuOCCgK8pV65csfuMr6EbTwgRXSRwhBClggGy+/btQ7t27cyJn7EuNrNmzQppW3Y2lZ01VRJ8T+8Udd7nPjmFRrDb80ejRo3Qr18/45rioMBjoHNpYTA054pZaDaliQ8SQpSM0sSFEAFhKvh5552HK664wrhfqlatinnz5pkA2jPOOAMDBw40cTDDhg3DU089hezs7JADZykamPY9efJkIypoLQqUgn3HHXfg/PPPN1lXfP9JkyaZwGTGA9kwc4qxL3RdsXZPzZo1zeMUPc56O4TPUzT5gi4pWqqYJk8XW1mgQGLmF+eK87dnzx784x//KLT0CCHChyw4QoiAMBiYgbU8uTOA+OijjzZuqhEjRuDFF19EamqqyWo6cOCAiSe56qqrQg6cZSDz888/j1deecXE8lA4BYKZSCyyx6BiBgPzdcyYYpq2zTPPPGOCehnzQiFks3fvXnPfOU477TS/73Xuuecakbd///4yVy1OS0szgdXch27dupm5ssUgRZ0QInykeBg5J4QQYYYWCQoftTIIDF1rzKZasWKFse4IIcKDXFRCCBFFKPpoFWMaOUUN6/nQjSZxI0R4kcARQogowrgbFkJcu3Yt6tSpY2KI6E4TQoQXuaiEEEII4ToUZCyEEEII1yGBI4QQQgjXIYEjhBBCCNchgSOEEEII1yGBI4QQQgjXIYEjhBBCCNchgSOEEEII1yGBI4QQQgjXIYEjhBBCCLiN/wfjBE0P5vz+RwAAAABJRU5ErkJggg==", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "res_sm.plot_partial(0, cpr=True);" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Using pyGAM" + ] + }, + { + "cell_type": "code", + "execution_count": 86, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "\u001b[38;2;0;255;0m100%\u001b[39m \u001b[38;2;0;255;0m(11 of 11)\u001b[39m |########################| Elapsed Time: 0:00:00 Time: 0:00:000:00\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "LinearGAM \n", + "=============================================== ==========================================================\n", + "Distribution: NormalDist Effective DoF: 7.6772\n", + "Link Function: IdentityLink Log Likelihood: -7833.1159\n", + "Number of Samples: 313 AIC: 15683.5863\n", + " AICc: 15684.14\n", + " GCV: 30838885095.1677\n", + " Scale: 29480381715.8292\n", + " Pseudo R-Squared: 0.8117\n", + "==========================================================================================================\n", + "Feature Function Lambda Rank EDoF P > x Sig. Code \n", + "================================= ==================== ============ ============ ============ ============\n", + "s(0) [15.8489] 12 4.3 1.11e-16 *** \n", + "l(1) [15.8489] 1 0.9 2.35e-10 *** \n", + "l(2) [15.8489] 1 0.8 8.45e-01 \n", + "l(3) [15.8489] 1 0.9 3.79e-01 \n", + "l(4) [15.8489] 1 0.8 1.11e-16 *** \n", + "intercept 1 0.0 9.14e-01 \n", + "==========================================================================================================\n", + "Significance codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1\n", + "\n", + "WARNING: Fitting splines and a linear function to a feature introduces a model identifiability problem\n", + " which can cause p-values to appear significant when they are not.\n", + "\n", + "WARNING: p-values calculated in this manner behave correctly for un-penalized models or models with\n", + " known smoothing parameters, but when smoothing parameters have been estimated, the p-values\n", + " are typically lower than they should be, meaning that the tests reject the null too readily.\n", + "None\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "C:\\Users\\micha\\AppData\\Local\\Temp\\ipykernel_5288\\661170992.py:10: UserWarning: KNOWN BUG: p-values computed in this summary are likely much smaller than they should be. \n", + " \n", + "Please do not make inferences based on these values! \n", + "\n", + "Collaborate on a solution, and stay up to date at: \n", + "github.com/dswah/pyGAM/issues/163 \n", + "\n", + " print(gam.summary())\n" + ] + } + ], + "source": [ + "predictors = ['SqFtTotLiving', 'SqFtLot', 'Bathrooms', \n", + " 'Bedrooms', 'BldgGrade']\n", + "outcome = 'AdjSalePrice'\n", + "X = house_98105[predictors].values\n", + "y = house_98105[outcome]\n", + "\n", + "## model\n", + "gam = LinearGAM(s(0, n_splines=12) + l(1) + l(2) + l(3) + l(4))\n", + "gam.gridsearch(X, y)\n", + "print(gam.summary())" + ] + }, + { + "cell_type": "code", + "execution_count": 87, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, axes = plt.subplots(figsize=(8, 8), ncols=2, nrows=3)\n", + "\n", + "titles = ['SqFtTotLiving', 'SqFtLot', 'Bathrooms', 'Bedrooms', 'BldgGrade']\n", + "for i, title in enumerate(titles):\n", + " ax = axes[i // 2, i % 2]\n", + " XX = gam.generate_X_grid(term=i)\n", + " ax.plot(XX[:, i], gam.partial_dependence(term=i, X=XX))\n", + " ax.plot(XX[:, i], gam.partial_dependence(term=i, X=XX, width=.95)[1], c='r', ls='--')\n", + " ax.set_title(titles[i]);\n", + " \n", + "axes[2][1].set_visible(False)\n", + "\n", + "plt.tight_layout()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### R\n", + "R fits `mgcv::gam()` and inspects smooth component behavior.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 88, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "Family: gaussian \n", + "Link function: identity \n", + "\n", + "Formula:\n", + "AdjSalePrice ~ s(SqFtTotLiving) + SqFtLot + Bathrooms + Bedrooms + \n", + " BldgGrade\n", + "\n", + "Estimated degrees of freedom:\n", + "4.49 total = 9.49 \n", + "\n", + "GCV score: 30148051324 \n" + ] + } + ], + "source": [ + "%%R\n", + "lm_gam <- gam(AdjSalePrice ~ s(SqFtTotLiving) + SqFtLot + \n", + " Bathrooms + Bedrooms + BldgGrade, \n", + " data=house_98105)\n", + "terms <- predict.gam(lm_gam, type='terms')\n", + "partial_resid <- resid(lm_gam) + terms\n", + "lm_gam" + ] + }, + { + "cell_type": "code", + "execution_count": 89, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "%%R\n", + "df <- data.frame(SqFtTotLiving = house_98105[, 'SqFtTotLiving'],\n", + " Terms = terms[, 5],\n", + " PartialResid = partial_resid[, 5])\n", + "graph <- ggplot(df, aes(SqFtTotLiving, PartialResid)) +\n", + " geom_point(shape=1) + scale_shape(solid = FALSE) +\n", + " geom_smooth(linetype=2, formula=y~x, method='loess') + \n", + " geom_line(aes(SqFtTotLiving, Terms)) +\n", + " scale_y_continuous(labels = function(x) format(x, scientific = FALSE))\n", + "graph" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Summary: Generalized Additive Models\n", + "\n", + "| Operation | Python | R | Notes |\n", + "|---|---|---|---|\n", + "| GAM fit | `GLMGam`, `pyGAM` | `mgcv::gam()` | Both fit additive smooth models. |\n", + "| Smooth term control | explicit smoother objects/params | smooth terms in formula | Same modeling idea with different APIs. |\n", + "| Partial effect plots | library-specific partial plots | term/residual visualizations | Both focus on nonlinear marginal effects. |\n", + "\n", + "Python shows multi-library flexibility, while R provides a mature unified GAM workflow through `mgcv`.\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Additional material - not in book\n", + "# Regularization\n", + "## Lasso" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Python" + ] + }, + { + "cell_type": "code", + "execution_count": 90, + "metadata": {}, + "outputs": [], + "source": [ + "from sklearn.linear_model import Lasso, LassoLars, LassoCV, LassoLarsCV\n", + "from sklearn.preprocessing import StandardScaler" + ] + }, + { + "cell_type": "code", + "execution_count": 91, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " AdjSalePrice SqFtTotLiving SqFtLot Bathrooms Bedrooms BldgGrade\n", + "1 300805.0 2400 9373 3.00 6 7\n", + "2 1076162.0 3764 20156 3.75 4 10\n", + "3 761805.0 2060 26036 1.75 4 8\n", + "4 442065.0 3200 8618 3.75 5 7\n", + "5 297065.0 1720 8620 1.75 4 7\n" + ] + } + ], + "source": [ + "subset = ['AdjSalePrice', 'SqFtTotLiving', 'SqFtLot', 'Bathrooms', \n", + " 'Bedrooms', 'BldgGrade']\n", + "\n", + "house = pd.read_csv(HOUSE_CSV, sep='\\t')\n", + "print(house[subset].head())" + ] + }, + { + "cell_type": "code", + "execution_count": 92, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "LinearRegression()\n" + ] + } + ], + "source": [ + "predictors = ['SqFtTotLiving', 'SqFtLot', 'Bathrooms', 'Bedrooms',\n", + " 'BldgGrade', 'PropertyType', 'NbrLivingUnits',\n", + " 'SqFtFinBasement', 'YrBuilt', 'YrRenovated', \n", + " 'NewConstruction']\n", + "outcome = 'AdjSalePrice'\n", + "\n", + "X = pd.get_dummies(house[predictors], drop_first=True)\n", + "X['NewConstruction'] = [1 if nc else 0 for nc in X['NewConstruction']]\n", + "columns = X.columns\n", + "# X = StandardScaler().fit_transform(X * 1.0)\n", + "y = house[outcome]\n", + "\n", + "house_lm = LinearRegression()\n", + "print(house_lm.fit(X, y))" + ] + }, + { + "cell_type": "code", + "execution_count": 93, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Lasso(alpha=10)\n" + ] + } + ], + "source": [ + "house_lasso = Lasso(alpha=10)\n", + "print(house_lasso.fit(X, y))" + ] + }, + { + "cell_type": "code", + "execution_count": 94, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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namecoef
0SqFtTotLiving289.048846
1SqFtLot0.029471
2Bathrooms0.000000
3Bedrooms0.000000
4BldgGrade0.000000
5NbrLivingUnits0.000000
6SqFtFinBasement3.316479
7YrBuilt-0.000000
8YrRenovated45.727472
9NewConstruction0.000000
10PropertyType_Single Family0.000000
11PropertyType_Townhouse0.000000
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" + ], + "text/plain": [ + " name coef\n", + "0 SqFtTotLiving 289.048846\n", + "1 SqFtLot 0.029471\n", + "2 Bathrooms 0.000000\n", + "3 Bedrooms 0.000000\n", + "4 BldgGrade 0.000000\n", + "5 NbrLivingUnits 0.000000\n", + "6 SqFtFinBasement 3.316479\n", + "7 YrBuilt -0.000000\n", + "8 YrRenovated 45.727472\n", + "9 NewConstruction 0.000000\n", + "10 PropertyType_Single Family 0.000000\n", + "11 PropertyType_Townhouse 0.000000" + ] + }, + "execution_count": 95, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "pd.DataFrame({\n", + " 'name': columns,\n", + " 'coef': modelCV.coef_, \n", + "})" + ] + }, + { + "cell_type": "code", + "execution_count": 96, + "metadata": {}, + "outputs": [], + "source": [ + "# Intercept: 6177658.144\n", + "# Coefficients:\n", + "# SqFtTotLiving: 199.27474217544048\n", + "# BldgGrade: 137181.13724627026\n", + "# YrBuilt: -3564.934870415041\n", + "# Bedrooms: -51974.76845567939\n", + "# Bathrooms: 42403.059999677665\n", + "# PropertyType_Townhouse: 84378.9333363999\n", + "# SqFtFinBasement: 7.032178917565108\n", + "# PropertyType_Single Family: 22854.87954019308" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.12.7" + } + }, + "nbformat": 4, + "nbformat_minor": 4 +} diff --git a/python_R/notebooks/Chapter 5 - Classification.ipynb b/python_R/notebooks/Chapter 5 - Classification.ipynb new file mode 100644 index 0000000..959bdc4 --- /dev/null +++ b/python_R/notebooks/Chapter 5 - Classification.ipynb @@ -0,0 +1,2874 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Practical Statistics for Data Scientists (Python + R)\n", + "# Chapter 5. Classification\n", + "> (c) 2019 Peter C. Bruce, Andrew Bruce, Peter Gedeck\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Loading the rpy2 extension in a notebook with the Python kernel" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "import sys\n", + "import io\n", + "\n", + "stderr_original = sys.stderr\n", + "sys.stderr = io.StringIO()\n", + "\n", + "# Loading the extension without noise\n", + "%load_ext rpy2.ipython\n", + "\n", + "sys.stderr = stderr_original # Restore silently" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "%%R\n", + "suppressWarnings(\n", + " invisible(\n", + " try(Sys.setlocale(\"LC_ALL\", \"English\"), silent = TRUE)\n", + " )\n", + ")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Import packages" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Import required Python packages" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [], + "source": [ + "from pathlib import Path\n", + "import pandas as pd \n", + "import numpy as np\n", + "\n", + "from sklearn.naive_bayes import MultinomialNB\n", + "from sklearn.discriminant_analysis import LinearDiscriminantAnalysis\n", + "from sklearn.linear_model import LogisticRegression #, LogisticRegressionCV\n", + "from sklearn.tree import DecisionTreeClassifier\n", + "from sklearn.metrics import confusion_matrix, precision_recall_fscore_support\n", + "from sklearn.metrics import roc_curve, accuracy_score, roc_auc_score\n", + "\n", + "import statsmodels.api as sm\n", + "\n", + "from imblearn.over_sampling import SMOTE, ADASYN, BorderlineSMOTE\n", + "from pygam import LinearGAM, s, f, l\n", + "\n", + "\n", + "from dmba import classificationSummary\n", + "\n", + "import seaborn as sns\n", + "import matplotlib.pyplot as plt\n", + "\n", + "%matplotlib inline" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [], + "source": [ + "try:\n", + " import common\n", + " DATA = common.dataDirectory()\n", + "except ImportError:\n", + " DATA = Path().resolve() / 'data'" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Import required R packages" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Ladowanie wymaganego pakietu: MASS\n", + "\n", + "Dolaczanie pakietu: 'dplyr'\n", + "\n", + "Nastepujacy obiekt zostal zakryty z 'package:MASS':\n", + "\n", + " select\n", + "\n", + "Nastepujace obiekty zostaly zakryte z 'package:stats':\n", + "\n", + " filter, lag\n", + "\n", + "Nastepujace obiekty zostaly zakryte z 'package:base':\n", + "\n", + " intersect, setdiff, setequal, union\n", + "\n", + "Posit Community (formerly RStudio Community) is a great place to get\n", + "help: https://forum.posit.co/c/tidyverse\n", + "Ladowanie wymaganego pakietu: nlme\n", + "\n", + "Dolaczanie pakietu: 'nlme'\n", + "\n", + "Nastepujacy obiekt zostal zakryty z 'package:dplyr':\n", + "\n", + " collapse\n", + "\n", + "This is mgcv 1.9-4. For overview type '?mgcv'.\n" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "%%R\n", + "Sys.setlocale(\"LC_ALL\", \"English\")\n", + "# Install missing packages if needed\n", + "packages <- c(\"klaR\", \"MASS\", \"dplyr\", \"ggplot2\", \"FNN\", \"mgcv\", \"rpart\")\n", + "installed <- rownames(installed.packages())\n", + "to_install <- packages[!packages %in% installed]\n", + "if (length(to_install) > 0) {\n", + " install.packages(to_install, repos = 'https://cloud.r-project.org/')\n", + "}\n", + "\n", + "# Load them all\n", + "library(klaR)\n", + "library(MASS)\n", + "library(dplyr)\n", + "library(ggplot2)\n", + "library(FNN)\n", + "library(mgcv)\n", + "library(rpart)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Defining data paths\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "If you don't keep your data in the same directory as the code, adapt the path names." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Python" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [], + "source": [ + "LOAN3000_CSV = DATA / 'loan3000.csv'\n", + "LOAN_DATA_CSV = DATA / 'loan_data.csv.gz'\n", + "FULL_TRAIN_SET_CSV = DATA / 'full_train_set.csv.gz'" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### R\n", + "R mirrors the Python workflow in this section using idiomatic statistical functions." + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [], + "source": [ + "%%R\n", + "PSDS_PATH <- file.path(dirname(dirname(getwd())))\n", + "\n", + "loan3000 <- read.csv(file.path(PSDS_PATH, 'data', 'loan3000.csv'), stringsAsFactors=TRUE)\n", + "loan_data <- read.csv(file.path(PSDS_PATH, 'data', 'loan_data.csv.gz'), stringsAsFactors=TRUE)\n", + "full_train_set <- read.csv(file.path(PSDS_PATH, 'data', 'full_train_set.csv.gz'), stringsAsFactors=TRUE)\n", + "\n", + "# order the outcome variable\n", + "loan3000$outcome <- ordered(loan3000$outcome, levels=c('paid off', 'default'))\n", + "loan_data$outcome <- ordered(loan_data$outcome, levels=c('paid off', 'default'))\n", + "full_train_set$outcome <- ordered(full_train_set$outcome, levels=c('paid off', 'default'))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Summary: Defining data paths\n", + "\n", + "| Operation | Python | R | Notes |\n", + "|---|---|---|---|\n", + "| Base path setup | `Path(...)` / explicit strings | direct path strings in `read.csv()` | Both point to the same chapter datasets. |\n", + "| Dataset loading | `pd.read_csv(...)` | `read.csv(...)` | Equivalent import step with language-specific defaults. |\n", + "| Basic preprocessing | pandas column transforms | base R column transforms | Both align units before analysis. |\n", + "\n", + "Python makes path handling and transformations explicit through objects, while R keeps data import and quick preprocessing concise." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Naive Bayes\n", + "## The Naive Solution" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Python\n", + "Python trains and evaluates Naive Bayes using `sklearn.naive_bayes.BernoulliNB` for classification on loan outcomes.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "predicted class: default\n", + "predicted probabilities\n", + " default paid off\n", + "0 0.653699 0.346301\n" + ] + } + ], + "source": [ + "loan_data = pd.read_csv(LOAN_DATA_CSV)\n", + "\n", + "# convert to categorical\n", + "loan_data.outcome = loan_data.outcome.astype('category')\n", + "loan_data.outcome.cat.reorder_categories(['paid off', 'default'])\n", + "loan_data.purpose_ = loan_data.purpose_.astype('category')\n", + "loan_data.home_ = loan_data.home_.astype('category')\n", + "loan_data.emp_len_ = loan_data.emp_len_.astype('category')\n", + "\n", + "predictors = ['purpose_', 'home_', 'emp_len_']\n", + "outcome = 'outcome'\n", + "X = pd.get_dummies(loan_data[predictors], prefix='', prefix_sep='', dtype=int)\n", + "y = loan_data[outcome]\n", + "\n", + "naive_model = MultinomialNB(alpha=0.01, fit_prior=True)\n", + "naive_model = MultinomialNB(alpha=1e-10, fit_prior=False)\n", + "naive_model.fit(X, y)\n", + "\n", + "new_loan = X.loc[146:146, :]\n", + "print('predicted class: ', naive_model.predict(new_loan)[0])\n", + "\n", + "probabilities = pd.DataFrame(naive_model.predict_proba(new_loan),\n", + " columns=naive_model.classes_)\n", + "print('predicted probabilities',)\n", + "print(probabilities)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Example not in book" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Numerical variables are not supported in scikit-learn. The example would need to demonstrate binning a variable and display the probability distribution of the bins.\n", + "```\n", + "## example not in book\n", + "less_naive <- NaiveBayes(outcome ~ borrower_score + payment_inc_ratio + \n", + " purpose_ + home_ + emp_len_, data = loan_data)\n", + "less_naive$table[1:2]\n", + "\n", + "png(filename=file.path(PSDS_PATH, 'figures', 'psds_naive_bayes.png'), width = 4, height=3, units='in', res=300)\n", + "\n", + "stats <- less_naive$table[[1]]\n", + "ggplot(data.frame(borrower_score=c(0,1)), aes(borrower_score)) +\n", + " stat_function(fun = dnorm, color='blue', linetype=1, \n", + " arg=list(mean=stats[1, 1], sd=stats[1, 2])) +\n", + " stat_function(fun = dnorm, color='red', linetype=2, \n", + " arg=list(mean=stats[2, 1], sd=stats[2, 2])) +\n", + " labs(y='probability')\n", + "dev.off()\n", + "```" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### R\n", + "R fits Naive Bayes with formula-style syntax and compares posterior class probabilities.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "$class\n", + "[1] default\n", + "Levels: paid off default\n", + "\n", + "$posterior\n", + " paid off default\n", + "[1,] 0.3463013 0.6536987\n", + "\n" + ] + } + ], + "source": [ + "%%R\n", + "naive_model <- NaiveBayes(outcome ~ purpose_ + home_ + emp_len_, \n", + " data = na.omit(loan_data))\n", + "naive_model$table\n", + "\n", + "new_loan <- loan_data[147, c('purpose_', 'home_', 'emp_len_')]\n", + "row.names(new_loan) <- NULL\n", + "new_loan\n", + "\n", + "predict(naive_model, new_loan)" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "$class\n", + "[1] default\n", + "Levels: paid off default\n", + "\n", + "$posterior\n", + " paid off default\n", + "[1,] 0.3463013 0.6536987\n", + "\n" + ] + } + ], + "source": [ + "%%R\n", + "print(predict(naive_model, new_loan))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Summary: Naive Bayes\n", + "\n", + "| Operation | Python | R | Notes |\n", + "|---|---|---|---|\n", + "| Model fitting | `BernoulliNB().fit()` | `NaiveBayes(...)` | Both estimate class-conditional probabilities under conditional independence assumptions. |\n", + "| Class probabilities | `predict_proba()` | `predict(...)` | Both return posterior class probabilities. |\n", + "| Decision output | `predict()` | `predict(...)` | Same class-label inference with different APIs. |\n", + "\n", + "Python emphasizes estimator objects and explicit train/predict calls, while R emphasizes concise formula-based model specification.\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Example not in book" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "%%R\n", + "less_naive <- NaiveBayes(outcome ~ borrower_score + payment_inc_ratio + \n", + " purpose_ + home_ + emp_len_, data = loan_data)\n", + "less_naive$table[1:2]\n", + "\n", + "stats <- less_naive$table[[1]]\n", + "graph <- ggplot(data.frame(borrower_score=c(0,1)), aes(borrower_score)) +\n", + " stat_function(fun = dnorm, color='blue', linetype=1, \n", + " args=list(mean=stats[1, 1], sd=stats[1, 2])) +\n", + " stat_function(fun = dnorm, color='red', linetype=2, \n", + " args=list(mean=stats[2, 1], sd=stats[2, 2])) +\n", + " labs(y='probability')\n", + "graph" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Discriminant Analysis\n", + "## A Simple Example" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Python\n", + "Python fits LDA with `sklearn.discriminant_analysis.LinearDiscriminantAnalysis` and visualizes the decision boundary.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " 0\n", + "borrower_score 7.175839\n", + "payment_inc_ratio -0.099676\n" + ] + } + ], + "source": [ + "loan3000 = pd.read_csv(LOAN3000_CSV)\n", + "loan3000.outcome = loan3000.outcome.astype('category')\n", + "\n", + "predictors = ['borrower_score', 'payment_inc_ratio']\n", + "outcome = 'outcome'\n", + "\n", + "X = loan3000[predictors]\n", + "y = loan3000[outcome]\n", + "\n", + "loan_lda = LinearDiscriminantAnalysis()\n", + "loan_lda.fit(X, y)\n", + "print(pd.DataFrame(loan_lda.scalings_, index=X.columns))" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " default paid off\n", + "0 0.553544 0.446456\n", + "1 0.558953 0.441047\n", + "2 0.272696 0.727304\n", + "3 0.506254 0.493746\n", + "4 0.609952 0.390048\n" + ] + } + ], + "source": [ + "pred = pd.DataFrame(loan_lda.predict_proba(loan3000[predictors]),\n", + " columns=loan_lda.classes_)\n", + "print(pred.head())" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Figure 5.1" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Use scalings and center of means to determine decision boundary\n", + "center = np.mean(loan_lda.means_, axis=0)\n", + "slope = - loan_lda.scalings_[0] / loan_lda.scalings_[1]\n", + "intercept = center[1] - center[0] * slope\n", + "\n", + "# payment_inc_ratio for borrower_score of 0 and 20\n", + "x_0 = (0 - intercept) / slope\n", + "x_20 = (20 - intercept) / slope\n", + "\n", + "lda_df = pd.concat([loan3000, pred['default']], axis=1)\n", + "lda_df.head()\n", + "\n", + "fig, ax = plt.subplots(figsize=(4, 4))\n", + "g = sns.scatterplot(x='borrower_score', y='payment_inc_ratio',\n", + " hue='default', data=lda_df, \n", + " palette=sns.diverging_palette(240, 10, n=9, as_cmap=True),\n", + " ax=ax, legend=False)\n", + "\n", + "ax.set_ylim(0, 20)\n", + "ax.set_xlim(0.15, 0.8)\n", + "ax.plot((x_0, x_20), (0, 20), linewidth=3)\n", + "ax.plot(*loan_lda.means_.transpose())\n", + "\n", + "plt.tight_layout()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### R\n", + "R reproduces LDA with `MASS::lda()` and evaluates discriminant predictions on the same variables.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " LD1\n", + "borrower_score -7.17583880\n", + "payment_inc_ratio 0.09967559\n" + ] + } + ], + "source": [ + "%%R\n", + "loan_lda <- lda(outcome ~ borrower_score + payment_inc_ratio,\n", + " data=loan3000)\n", + "loan_lda$scaling" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " paid off default\n", + "1 0.4464563 0.5535437\n", + "2 0.4410466 0.5589534\n", + "3 0.7273038 0.2726962\n", + "4 0.4937462 0.5062538\n", + "5 0.3900475 0.6099525\n", + "6 0.5892594 0.4107406\n" + ] + } + ], + "source": [ + "%%R\n", + "pred <- predict(loan_lda)\n", + "print(head(pred$posterior))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Summary: Discriminant Analysis\n", + "\n", + "| Operation | Python | R | Notes |\n", + "|---|---|---|---|\n", + "| LDA fitting | `LinearDiscriminantAnalysis().fit()` | `MASS::lda()` | Equivalent linear discriminant model estimation. |\n", + "| Prediction | `predict_proba()` / `predict()` | `predict(lda_model)` | Both provide class assignments and discriminant scores. |\n", + "| Boundary visualization | custom matplotlib boundary | base plotting with LDA output | Both visualize class separation from the same discriminant geometry. |\n", + "\n", + "Python workflows are usually explicit and object-centric, while R wraps LDA in compact formula + prediction idioms.\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Figure 5.1" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "NULL\n" + ] + } + ], + "source": [ + "%%R\n", + "# pred <- predict(loan_lda)\n", + "# lda_df <- cbind(loan3000, prob_default=pred$posterior[,'default'])\n", + "\n", + "# x <- seq(from=.33, to=.73, length=100)\n", + "# y <- seq(from=0, to=20, length=100)\n", + "# newdata <- data.frame(borrower_score=x, payment_inc_ratio=y)\n", + "# pred <- predict(loan_lda, newdata=newdata)\n", + "# lda_df0 <- cbind(newdata, outcome=pred$class)\n", + "\n", + "# graph <- ggplot(data=lda_df, aes(x=borrower_score, y=payment_inc_ratio, color=prob_default)) +\n", + "# geom_point(alpha=.6) +\n", + "# scale_color_gradient2(low='white', high='blue') +\n", + "# scale_x_continuous(expand=c(0,0)) + \n", + "# scale_y_continuous(expand=c(0,0), lim=c(0, 20)) + \n", + "# geom_line(data=lda_df0, col='darkgreen', size=2, alpha=.8) +\n", + "# theme_bw()\n", + "# graph" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "NULL\n" + ] + } + ], + "source": [ + "%%R\n", + "# # [Book]\n", + "# graph\n", + "# dev.off()" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "R callback write-console: In addition: \n", + "R callback write-console: Warning message:\n", + " \n", + "R callback write-console: Removed 18 rows containing missing values or values outside the scale range (`geom_point()`). \n", + " \n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "%%R\n", + "pred <- predict(loan_lda)\n", + "lda_df <- cbind(loan3000, prob_default=pred$posterior[,'default'])\n", + "\n", + "center <- 0.5 * (loan_lda$mean[1, ] + loan_lda$mean[2, ])\n", + "slope <- -loan_lda$scaling[1] / loan_lda$scaling[2]\n", + "intercept = center[2] - center[1] * slope\n", + "\n", + "graph <- ggplot(data=lda_df, aes(x=borrower_score, y=payment_inc_ratio, color=prob_default)) +\n", + " geom_point(alpha=.6) +\n", + " scale_color_gradientn(colors=c('#ca0020', '#f7f7f7', '#0571b0')) +\n", + " scale_x_continuous(expand=c(0,0)) + \n", + " scale_y_continuous(expand=c(0,0), lim=c(0, 20)) + \n", + " geom_abline(slope=slope, intercept=intercept, color='darkgreen') +\n", + " theme_bw()\n", + "\n", + "graph" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Logistic regression\n", + "## Logistic Response Function and Logit" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Python\n", + "Python demonstrates the logistic response function and log-odds relationship used by classification models.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "p = np.arange(0.01, 1, 0.01)\n", + "df = pd.DataFrame({\n", + " 'p': p,\n", + " 'logit': np.log(p / (1 - p)),\n", + " 'odds': p / (1 - p),\n", + "})\n", + "\n", + "fig, ax = plt.subplots(figsize=(3, 3))\n", + "ax.axhline(0, color='grey', linestyle='--')\n", + "ax.axvline(0.5, color='grey', linestyle='--')\n", + "ax.plot(df['p'], df['logit'])\n", + "ax.set_xlabel('Probability')\n", + "ax.set_ylabel('logit(p)')\n", + "\n", + "plt.tight_layout()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Logistic Regression and the GLM\n", + "The package _scikit-learn_ has a specialised class for `LogisticRegression`. _Statsmodels_ has a more general method based on generalized linear model (GLM)." + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "C:\\Users\\micha\\Documents\\to02DEC25\\PyProjects\\DS-GH\\.venv\\Lib\\site-packages\\sklearn\\linear_model\\_logistic.py:1135: FutureWarning: 'penalty' was deprecated in version 1.8 and will be removed in 1.10. To avoid this warning, leave 'penalty' set to its default value and use 'l1_ratio' or 'C' instead. Use l1_ratio=0 instead of penalty='l2', l1_ratio=1 instead of penalty='l1', and C=np.inf instead of penalty=None.\n", + " warnings.warn(\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "intercept -1.6378908649112442\n", + "classes ['default' 'paid off']\n" + ] + }, + { + "data": { + "text/html": [ + "
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coeff
payment_inc_ratio-0.079739
borrower_score4.612183
debt_consolidation-0.249414
home_improvement-0.407734
major_purchase-0.229710
medical-0.510744
other-0.620800
small_business-1.214936
OWN-0.048211
RENT-0.157288
> 1 Year0.356794
\n", + "
" + ], + "text/plain": [ + " coeff\n", + "payment_inc_ratio -0.079739\n", + "borrower_score 4.612183\n", + "debt_consolidation -0.249414\n", + "home_improvement -0.407734\n", + "major_purchase -0.229710\n", + "medical -0.510744\n", + "other -0.620800\n", + "small_business -1.214936\n", + "OWN -0.048211\n", + "RENT -0.157288\n", + " > 1 Year 0.356794" + ] + }, + "execution_count": 21, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "predictors = ['payment_inc_ratio', 'purpose_', 'home_', 'emp_len_', \n", + " 'borrower_score']\n", + "outcome = 'outcome'\n", + "X = pd.get_dummies(loan_data[predictors], prefix='', prefix_sep='', \n", + " drop_first=True, dtype=int)\n", + "y = loan_data[outcome] # .cat.categories\n", + "\n", + "logit_reg = LogisticRegression(penalty='l2', C=1e42, solver='liblinear')\n", + "logit_reg.fit(X, y)\n", + "\n", + "print('intercept ', logit_reg.intercept_[0])\n", + "print('classes', logit_reg.classes_)\n", + "pd.DataFrame({'coeff': logit_reg.coef_[0]}, \n", + " index=X.columns)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Note that the intercept and coefficients are reversed compared to the R model." + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Index(['credit_card', 'debt_consolidation', 'home_improvement',\n", + " 'major_purchase', 'medical', 'other', 'small_business'],\n", + " dtype='str')\n", + "Index(['MORTGAGE', 'OWN', 'RENT'], dtype='str')\n", + "Index([' < 1 Year', ' > 1 Year'], dtype='str')\n" + ] + } + ], + "source": [ + "print(loan_data['purpose_'].cat.categories)\n", + "print(loan_data['home_'].cat.categories)\n", + "print(loan_data['emp_len_'].cat.categories)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "_Not in book_ :\n", + "If you have a feature or outcome variable that is ordinal, use the scikit-learn `OrdinalEncoder` to replace the categories (here, 'paid off' and 'default') with numbers. In the below code, we replace 'paid off' with 0 and 'default' with 1. This reverses the order of the predicted classes and as a consequence, the coefficients will be reversed. " + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "C:\\Users\\micha\\Documents\\to02DEC25\\PyProjects\\DS-GH\\.venv\\Lib\\site-packages\\sklearn\\linear_model\\_logistic.py:1135: FutureWarning: 'penalty' was deprecated in version 1.8 and will be removed in 1.10. To avoid this warning, leave 'penalty' set to its default value and use 'l1_ratio' or 'C' instead. Use l1_ratio=0 instead of penalty='l2', l1_ratio=1 instead of penalty='l1', and C=np.inf instead of penalty=None.\n", + " warnings.warn(\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "intercept 1.6380885435754573\n", + "classes [0. 1.]\n" + ] + }, + { + "data": { + "text/html": [ + "
\n", + "\n", + "\n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + "
coeff
payment_inc_ratio0.079728
borrower_score-4.611037
debt_consolidation0.249342
home_improvement0.407614
major_purchase0.229376
medical0.510087
other0.620534
small_business1.215662
OWN0.048453
RENT0.157355
> 1 Year-0.357463
\n", + "
" + ], + "text/plain": [ + " coeff\n", + "payment_inc_ratio 0.079728\n", + "borrower_score -4.611037\n", + "debt_consolidation 0.249342\n", + "home_improvement 0.407614\n", + "major_purchase 0.229376\n", + "medical 0.510087\n", + "other 0.620534\n", + "small_business 1.215662\n", + "OWN 0.048453\n", + "RENT 0.157355\n", + " > 1 Year -0.357463" + ] + }, + "execution_count": 23, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "from sklearn.preprocessing import OrdinalEncoder\n", + "enc = OrdinalEncoder(categories=[['paid off', 'default']])\n", + "y_enc = enc.fit_transform(loan_data[[outcome]]).ravel()\n", + "\n", + "logit_reg_enc = LogisticRegression(penalty=\"l2\", C=1e42, solver='liblinear')\n", + "logit_reg_enc.fit(X, y_enc)\n", + "\n", + "print('intercept ', logit_reg_enc.intercept_[0])\n", + "print('classes', logit_reg_enc.classes_)\n", + "pd.DataFrame({'coeff': logit_reg_enc.coef_[0]}, \n", + " index=X.columns)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### R\n", + "R follows the same analytical objective with formula-based modeling and statistical plotting tools.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "%%R\n", + "logistic_model <- glm(outcome ~ payment_inc_ratio + purpose_ + \n", + " home_ + emp_len_ + borrower_score,\n", + " data=loan_data, family='binomial')\n", + "logistic_model\n", + "summary(logistic_model)\n", + "\n", + "p <- seq(from=0.01, to=.99, by=.01)\n", + "df <- data.frame(p = p,\n", + " logit = log(p/(1-p)),\n", + " odds = p/(1-p))\n", + "\n", + "graph <- ggplot(data=df, aes(x=p, y=logit)) +\n", + " geom_line() +\n", + " labs(x = 'p', y='logit(p)') +\n", + " theme_bw()\n", + "graph" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Summary: Logistic Regression and the GLM\n", + "\n", + "| Operation | Python | R | Notes |\n", + "|---|---|---|---|\n", + "| Logit model fit | `LogisticRegression` / `GLM` | `glm(..., family=binomial)` | Both estimate coefficients on the log-odds scale. |\n", + "| Categorical handling | pre-encoded predictors | formula handling of factors | Python tends to preprocess explicitly; R often handles factors in formulas. |\n", + "| Coefficient report | model attributes / summaries | `summary(glm_model)` | Both provide inference-ready coefficients and significance output. |\n", + "\n", + "Python often separates preprocessing from modeling, while R tightly integrates feature handling with the formula interface.\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Predicted Values from Logistic Regression" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Python\n", + "Python extracts predicted class probabilities and log-probabilities for each record.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " default paid off\n", + "count 45342.000000 45342.000000\n", + "mean -0.757872 -0.760434\n", + "std 0.378093 0.390456\n", + "min -2.769376 -3.538593\n", + "25% -0.985739 -0.977207\n", + "50% -0.697406 -0.688907\n", + "75% -0.472183 -0.467069\n", + "max -0.029485 -0.064753\n" + ] + } + ], + "source": [ + "pred = pd.DataFrame(logit_reg.predict_log_proba(X),\n", + " columns=logit_reg.classes_)\n", + "print(pred.describe())" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": { + "scrolled": true + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " default paid off\n", + "count 45342.000000 45342.000000\n", + "mean 0.500000 0.500000\n", + "std 0.167354 0.167354\n", + "min 0.062701 0.029054\n", + "25% 0.373163 0.376361\n", + "50% 0.497875 0.502125\n", + "75% 0.623639 0.626837\n", + "max 0.970946 0.937299\n" + ] + } + ], + "source": [ + "pred = pd.DataFrame(logit_reg.predict_proba(X),\n", + " columns=logit_reg.classes_)\n", + "print(pred.describe())" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### R\n", + "R extracts fitted logits and probabilities from the logistic GLM using `predict()`.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " Min. 1st Qu. Median Mean 3rd Qu. Max. \n", + "-2.704774 -0.518825 -0.008539 0.002564 0.505061 3.509606 \n" + ] + } + ], + "source": [ + "%%R\n", + "pred <- predict(logistic_model)\n", + "summary(pred)" + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " Min. 1st Qu. Median Mean 3rd Qu. Max. \n", + "0.06269 0.37313 0.49787 0.50000 0.62365 0.97096 \n" + ] + } + ], + "source": [ + "%%R\n", + "prob <- 1/(1 + exp(-pred))\n", + "summary(prob)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Summary: Predicted Values from Logistic Regression\n", + "\n", + "| Operation | Python | R | Notes |\n", + "|---|---|---|---|\n", + "| Probability prediction | `predict_proba()` | `predict(..., type='response')` | Both produce class probability estimates. |\n", + "| Log-probabilities | `predict_log_proba()` | `predict(..., type='link')` | Both expose linear predictor scale equivalents. |\n", + "| Class mapping | class column indexing | factor level mapping | Same semantics with different indexing conventions. |\n", + "\n", + "Both languages provide equivalent predicted outputs; Python exposes more estimator-specific methods, while R uses `type` switches.\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Interpreting the Coefficients and Odds Ratios" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Python\n", + "Python converts logistic coefficients to odds ratios for practical interpretation.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots(figsize=(3, 3))\n", + "ax.plot(df['logit'], df['odds'])\n", + "ax.set_xlabel('log(odds ratio)')\n", + "ax.set_ylabel('odds ratio')\n", + "ax.set_xlim(0, 5.1)\n", + "ax.set_ylim(-5, 105)\n", + "\n", + "plt.tight_layout()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### R\n", + "R interprets logistic coefficients with exponentiated effects and spline-based extensions.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "%%R\n", + "graph <- ggplot(data=df, aes(x=logit, y=odds)) +\n", + " geom_line() +\n", + " labs(x='log(odds ratio)', y='odds ratio') +\n", + " coord_cartesian(xlim=c(0, 5), ylim=c(1, 100)) +\n", + " theme_bw()\n", + "graph" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Summary: Interpreting the Coefficients and Odds Ratios\n", + "\n", + "| Operation | Python | R | Notes |\n", + "|---|---|---|---|\n", + "| Odds ratio conversion | `np.exp(coef_)` | `exp(coef(model))` | Both convert log-odds coefficients to multiplicative odds effects. |\n", + "| Coefficient interpretation | manual coefficient table handling | summary/coef extraction | Both support directional and magnitude interpretation. |\n", + "| Nonlinear terms | spline features | spline terms in formula | Both support flexible nonlinear logit relationships. |\n", + "\n", + "Python usually makes coefficient transformations explicit in code; R keeps many interpretation steps concise with built-in model extractors.\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Logistic regression with splines - R" + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "Family: binomial \n", + "Link function: logit \n", + "\n", + "Formula:\n", + "outcome ~ s(payment_inc_ratio) + purpose_ + home_ + emp_len_ + \n", + " s(borrower_score)\n", + "\n", + "Estimated degrees of freedom:\n", + "7.66 4.17 total = 21.83 \n", + "\n", + "UBRE score: 0.2681506 \n" + ] + } + ], + "source": [ + "%%R\n", + "logistic_gam <- gam(outcome ~ s(payment_inc_ratio) + purpose_ + \n", + " home_ + emp_len_ + s(borrower_score),\n", + " data=loan_data, family='binomial')\n", + "logistic_gam" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Assessing the Model" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Python\n", + "For comparison, here the GLM model using _statsmodels_. This method requires that the outcome is mapped to numbers. " + ] + }, + { + "cell_type": "code", + "execution_count": 32, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " Generalized Linear Model Regression Results \n", + "==============================================================================\n", + "Dep. Variable: y No. Observations: 45342\n", + "Model: GLM Df Residuals: 45330\n", + "Model Family: Binomial Df Model: 11\n", + "Link Function: Logit Scale: 1.0000\n", + "Method: IRLS Log-Likelihood: -28757.\n", + "Date: Wed, 15 Apr 2026 Deviance: 57515.\n", + "Time: 18:22:18 Pearson chi2: 4.54e+04\n", + "No. Iterations: 4 Pseudo R-squ. (CS): 0.1112\n", + "Covariance Type: nonrobust \n", + "======================================================================================\n", + " coef std err z P>|z| [0.025 0.975]\n", + "--------------------------------------------------------------------------------------\n", + "payment_inc_ratio 0.0797 0.002 32.058 0.000 0.075 0.085\n", + "borrower_score -4.6126 0.084 -55.203 0.000 -4.776 -4.449\n", + "debt_consolidation 0.2494 0.028 9.030 0.000 0.195 0.303\n", + "home_improvement 0.4077 0.047 8.747 0.000 0.316 0.499\n", + "major_purchase 0.2296 0.054 4.277 0.000 0.124 0.335\n", + "medical 0.5105 0.087 5.882 0.000 0.340 0.681\n", + "other 0.6207 0.039 15.738 0.000 0.543 0.698\n", + "small_business 1.2153 0.063 19.192 0.000 1.091 1.339\n", + "OWN 0.0483 0.038 1.271 0.204 -0.026 0.123\n", + "RENT 0.1573 0.021 7.420 0.000 0.116 0.199\n", + " > 1 Year -0.3567 0.053 -6.779 0.000 -0.460 -0.254\n", + "const 1.6381 0.074 22.224 0.000 1.494 1.783\n", + "======================================================================================\n" + ] + } + ], + "source": [ + "# use GLM (general linear model) with the binomial family to \n", + "# fit a logistic regression\n", + "y_numbers = [1 if yi == 'default' else 0 for yi in y]\n", + "logit_reg_sm = sm.GLM(y_numbers, X.assign(const=1), \n", + " family=sm.families.Binomial())\n", + "logit_result = logit_reg_sm.fit()\n", + "print(logit_result.summary())" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Use splines" + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " Generalized Linear Model Regression Results \n", + "=====================================================================================================\n", + "Dep. Variable: ['outcome[default]', 'outcome[paid off]'] No. Observations: 45342\n", + "Model: GLM Df Residuals: 45321\n", + "Model Family: Binomial Df Model: 20\n", + "Link Function: Logit Scale: 1.0000\n", + "Method: IRLS Log-Likelihood: -28731.\n", + "Date: Wed, 15 Apr 2026 Deviance: 57462.\n", + "Time: 18:22:18 Pearson chi2: 4.54e+04\n", + "No. Iterations: 6 Pseudo R-squ. (CS): 0.1122\n", + "Covariance Type: nonrobust \n", + "==================================================================================================\n", + " coef std err z P>|z| [0.025 0.975]\n", + "--------------------------------------------------------------------------------------------------\n", + "Intercept 1.5756 0.331 4.765 0.000 0.928 2.224\n", + "purpose_[T.debt_consolidation] 0.2486 0.028 8.998 0.000 0.194 0.303\n", + "purpose_[T.home_improvement] 0.4097 0.047 8.757 0.000 0.318 0.501\n", + "purpose_[T.major_purchase] 0.2382 0.054 4.416 0.000 0.132 0.344\n", + "purpose_[T.medical] 0.5206 0.087 5.980 0.000 0.350 0.691\n", + "purpose_[T.other] 0.6284 0.040 15.781 0.000 0.550 0.706\n", + "purpose_[T.small_business] 1.2250 0.063 19.305 0.000 1.101 1.349\n", + "home_[T.OWN] 0.0498 0.038 1.309 0.191 -0.025 0.124\n", + "home_[T.RENT] 0.1577 0.021 7.431 0.000 0.116 0.199\n", + "emp_len_[T. > 1 Year] -0.3526 0.053 -6.699 0.000 -0.456 -0.249\n", + "bs(payment_inc_ratio, df=8)[0] 0.7042 0.342 2.060 0.039 0.034 1.374\n", + "bs(payment_inc_ratio, df=8)[1] 0.6621 0.198 3.351 0.001 0.275 1.049\n", + "bs(payment_inc_ratio, df=8)[2] 0.8118 0.245 3.309 0.001 0.331 1.293\n", + "bs(payment_inc_ratio, df=8)[3] 1.0377 0.223 4.644 0.000 0.600 1.476\n", + "bs(payment_inc_ratio, df=8)[4] 1.1901 0.233 5.112 0.000 0.734 1.646\n", + "bs(payment_inc_ratio, df=8)[5] 2.8404 0.316 8.980 0.000 2.220 3.460\n", + "bs(payment_inc_ratio, df=8)[6] -1.3427 1.229 -1.092 0.275 -3.752 1.067\n", + "bs(payment_inc_ratio, df=8)[7] 7.1094 6.393 1.112 0.266 -5.420 19.639\n", + "bs(borrower_score, df=3)[0] -2.9011 0.533 -5.448 0.000 -3.945 -1.857\n", + "bs(borrower_score, df=3)[1] -2.6056 0.196 -13.284 0.000 -2.990 -2.221\n", + "bs(borrower_score, df=3)[2] -5.7421 0.508 -11.313 0.000 -6.737 -4.747\n", + "==================================================================================================\n" + ] + } + ], + "source": [ + "import statsmodels.formula.api as smf\n", + "formula = ('outcome ~ bs(payment_inc_ratio, df=8) + purpose_ + ' +\n", + " 'home_ + emp_len_ + bs(borrower_score, df=3)')\n", + "model = smf.glm(formula=formula, data=loan_data, family=sm.families.Binomial())\n", + "results = model.fit()\n", + "print(results.summary())" + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from statsmodels.genmod.generalized_linear_model import GLMResults\n", + "def partialResidualPlot(model, df, outcome, feature, fig, ax):\n", + " y_actual = [0 if s == 'default' else 1 for s in df[outcome]]\n", + " y_pred = model.predict(df)\n", + " org_params = model.params.copy()\n", + " zero_params = model.params.copy()\n", + " # set model parametes of other features to 0\n", + " for i, name in enumerate(zero_params.index):\n", + " if feature in name:\n", + " continue\n", + " zero_params.iloc[i] = 0.0\n", + " model.initialize(model.model, zero_params)\n", + " feature_prediction = model.predict(df)\n", + " ypartial = -np.log(1/feature_prediction - 1)\n", + " ypartial = ypartial - np.mean(ypartial)\n", + " model.initialize(model.model, org_params)\n", + " results = pd.DataFrame({\n", + " 'feature': df[feature],\n", + " 'residual': -2 * (y_actual - y_pred),\n", + " 'ypartial': ypartial/ 2,\n", + " })\n", + " results = results.sort_values(by=['feature'])\n", + "\n", + " ax.scatter(results.feature, results.residual, marker=\".\", s=72./fig.dpi)\n", + " ax.plot(results.feature, results.ypartial, color='black')\n", + " ax.set_xlabel(feature)\n", + " ax.set_ylabel(f'Residual + {feature} contribution')\n", + " return ax\n", + "\n", + "fig, ax = plt.subplots(figsize=(5, 5))\n", + "partialResidualPlot(results, loan_data, 'outcome', 'payment_inc_ratio', fig, ax)\n", + "ax.set_xlim(0, 25)\n", + "ax.set_ylim(-2.5, 2.5)\n", + "\n", + "\n", + "plt.tight_layout()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### R\n", + "R evaluates the same logistic model with spline terms and compares fitted probabilities using GLM outputs.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "In addition: Warning message:\n", + "Using `size` aesthetic for lines was deprecated in ggplot2 3.4.0.\n", + "i Please use `linewidth` instead.\n", + "This warning is displayed once every 8 hours.\n", + "Call `lifecycle::last_lifecycle_warnings()` to see where this warning was generated. \n" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "%%R\n", + "terms <- predict(logistic_gam, type='terms')\n", + "partial_resid <- resid(logistic_gam) + terms\n", + "df <- data.frame(payment_inc_ratio = loan_data[, 'payment_inc_ratio'],\n", + " terms = terms[, 's(payment_inc_ratio)'],\n", + " partial_resid = partial_resid[, 's(payment_inc_ratio)'])\n", + "\n", + "graph <- ggplot(df, aes(x=payment_inc_ratio, y=partial_resid, solid = FALSE)) +\n", + " geom_point(shape=46, alpha=0.4) +\n", + " geom_line(aes(x=payment_inc_ratio, y=terms), \n", + " color='red', alpha=0.5, size=1.5) +\n", + " labs(y='Partial Residual') +\n", + " coord_cartesian(xlim=c(0, 25)) +\n", + " theme_bw()\n", + "graph" + ] + }, + { + "cell_type": "code", + "execution_count": 36, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "%%R\n", + "df <- data.frame(payment_inc_ratio = loan_data[, 'payment_inc_ratio'],\n", + " terms = 1/(1 + exp(-terms[, 's(payment_inc_ratio)'])),\n", + " partial_resid = 1/(1 + exp(-partial_resid[, 's(payment_inc_ratio)'])))\n", + "\n", + "graph <- ggplot(df, aes(x=payment_inc_ratio, y=partial_resid, solid = FALSE)) +\n", + " geom_point(shape=46, alpha=0.4) +\n", + " geom_line(aes(x=payment_inc_ratio, y=terms), \n", + " color='red', alpha=0.5, size=1.5) +\n", + " labs(y='Partial Residual') +\n", + " coord_cartesian(xlim=c(0, 25)) +\n", + " theme_bw()\n", + "graph" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Summary: Assessing the Model\n", + "\n", + "| Operation | Python | R | Notes |\n", + "|---|---|---|---|\n", + "| Model diagnostics | statsmodels diagnostics and plots | GLM diagnostics and residual checks | Both inspect fit quality and mis-specification risk. |\n", + "| Spline comparison | feature-engineered splines | formula splines | Equivalent flexibility with different workflow ergonomics. |\n", + "| Prediction review | probability inspection | `predict()` inspection | Both compare fitted behavior across subgroups. |\n", + "\n", + "Python tends to build diagnostics modularly, while R provides a compact diagnostics path around fitted model objects.\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Evaluating Classification Models\n", + "## Confusion Matrix" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Python\n", + "Python builds confusion-matrix based metrics to evaluate classification performance.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 37, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " Yhat = default Yhat = paid off\n", + "Y = default 14337 8334\n", + "Y = paid off 8149 14522\n" + ] + } + ], + "source": [ + "# Confusion matrix\n", + "pred = logit_reg.predict(X)\n", + "pred_y = logit_reg.predict(X) == 'default'\n", + "true_y = y == 'default'\n", + "true_pos = true_y & pred_y\n", + "true_neg = ~true_y & ~pred_y\n", + "false_pos = ~true_y & pred_y\n", + "false_neg = true_y & ~pred_y\n", + "\n", + "conf_mat = pd.DataFrame([[np.sum(true_pos), np.sum(false_neg)], [np.sum(false_pos), np.sum(true_neg)]],\n", + " index=['Y = default', 'Y = paid off'],\n", + " columns=['Yhat = default', 'Yhat = paid off'])\n", + "print(conf_mat)" + ] + }, + { + "cell_type": "code", + "execution_count": 38, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[[14337 8334]\n", + " [ 8149 14522]]\n" + ] + } + ], + "source": [ + "print(confusion_matrix(y, logit_reg.predict(X)))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The package _dmba_ contains the function `classificationSummary` that prints confusion matrix and accuracy for a classification model. " + ] + }, + { + "cell_type": "code", + "execution_count": 39, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Confusion Matrix (Accuracy 0.6365)\n", + "\n", + " Prediction\n", + " Actual default paid off\n", + " default 14337 8334\n", + "paid off 8149 14522\n" + ] + } + ], + "source": [ + "classificationSummary(y, logit_reg.predict(X), \n", + " class_names=logit_reg.classes_)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### R\n", + "R computes confusion-matrix diagnostics and classification error metrics.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 40, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " Yhat = 1 Yhat = 0\n", + "Y = 1 14293 8378\n", + "Y = 0 8051 14620\n" + ] + } + ], + "source": [ + "%%R\n", + "# Confusion matrix\n", + "pred <- predict(logistic_gam, newdata=loan_data)\n", + "pred_y <- as.numeric(pred > 0)\n", + "true_y <- as.numeric(loan_data$outcome=='default')\n", + "true_pos <- (true_y==1) & (pred_y==1)\n", + "true_neg <- (true_y==0) & (pred_y==0)\n", + "false_pos <- (true_y==0) & (pred_y==1)\n", + "false_neg <- (true_y==1) & (pred_y==0)\n", + "conf_mat <- matrix(c(sum(true_pos), sum(false_pos),\n", + " sum(false_neg), sum(true_neg)), 2, 2)\n", + "colnames(conf_mat) <- c('Yhat = 1', 'Yhat = 0')\n", + "rownames(conf_mat) <- c('Y = 1', 'Y = 0')\n", + "conf_mat" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Summary: Evaluating Classification Models\n", + "\n", + "| Operation | Python | R | Notes |\n", + "|---|---|---|---|\n", + "| Confusion matrix | `confusion_matrix()` | `table()` / caret metrics | Equivalent core evaluation primitive. |\n", + "| Classification report | `classification_report()` | metric-specific functions | Both derive precision/recall/F1 from the same counts. |\n", + "| Threshold analysis | manual threshold tuning | manual threshold tuning | Both support business-driven operating point choice. |\n", + "\n", + "Evaluation logic is the same; Python centralizes many metrics in sklearn, while R often composes them from focused functions.\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Precision, Recall, and Specificity" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Python\n", + "Python computes precision, recall, and specificity from classification outcomes.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 41, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Precision 0.6375967268522637\n", + "Recall 0.6323938070662961\n", + "Specificity 0.640554011733051\n" + ] + } + ], + "source": [ + "conf_mat = confusion_matrix(y, logit_reg.predict(X))\n", + "print('Precision', conf_mat[0, 0] / sum(conf_mat[:, 0]))\n", + "print('Recall', conf_mat[0, 0] / sum(conf_mat[0, :]))\n", + "print('Specificity', conf_mat[1, 1] / sum(conf_mat[1, :]))" + ] + }, + { + "cell_type": "code", + "execution_count": 42, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(array([0.63759673, 0.63536927]),\n", + " array([0.63239381, 0.64055401]),\n", + " array([0.63498461, 0.63795111]),\n", + " array([22671, 22671]))" + ] + }, + "execution_count": 42, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "precision_recall_fscore_support(y, logit_reg.predict(X), \n", + " labels=['default', 'paid off'])" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### R\n", + "R computes precision, recall, and specificity with equivalent confusion-matrix definitions.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 43, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[1] 0.6448767\n" + ] + } + ], + "source": [ + "%%R\n", + "# precision\n", + "conf_mat[1, 1] / sum(conf_mat[,1])\n", + "# recall\n", + "conf_mat[1, 1] / sum(conf_mat[1,])\n", + "# specificity\n", + "conf_mat[2, 2] / sum(conf_mat[2,])" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Summary: Precision, Recall, and Specificity\n", + "\n", + "| Operation | Python | R | Notes |\n", + "|---|---|---|---|\n", + "| Precision | precision from confusion matrix | precision from confusion table | Same definition: TP/(TP+FP). |\n", + "| Recall | `precision_recall_fscore_support()` | sensitivity from confusion table | Same definition: TP/(TP+FN). |\n", + "| Specificity | manual or helper metric | specificity helper/derived metric | Same definition: TN/(TN+FP). |\n", + "\n", + "Python metrics are often direct API calls; R frequently derives them from contingency tables with concise transformations." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## ROC Curve" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Python\n", + "Python draws ROC curves to examine threshold trade-offs between sensitivity and specificity.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 44, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fpr, tpr, thresholds = roc_curve(y, logit_reg.predict_proba(X)[:, 0], \n", + " pos_label='default')\n", + "roc_df = pd.DataFrame({'recall': tpr, 'specificity': 1 - fpr})\n", + "\n", + "ax = roc_df.plot(x='specificity', y='recall', figsize=(4, 4), legend=False)\n", + "ax.set_ylim(0, 1)\n", + "ax.set_xlim(1, 0)\n", + "ax.plot((1, 0), (0, 1))\n", + "ax.set_xlabel('specificity')\n", + "ax.set_ylabel('recall')\n", + "\n", + "\n", + "plt.tight_layout()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### R\n", + "R uses ROC tooling to inspect threshold sensitivity and specificity trade-offs.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 45, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "%%R\n", + "idx <- order(-pred)\n", + "recall <- cumsum(true_y[idx] == 1) / sum(true_y == 1)\n", + "specificity <- (sum(true_y == 0) - cumsum(true_y[idx] == 0)) / sum(true_y == 0)\n", + "roc_df <- data.frame(recall = recall, specificity = specificity)\n", + "\n", + "graph <- ggplot(roc_df, aes(x=specificity, y=recall)) +\n", + " geom_line(color='blue') + \n", + " scale_x_reverse(expand=c(0, 0)) +\n", + " scale_y_continuous(expand=c(0, 0)) + \n", + " geom_line(data=data.frame(x=(0:100) / 100), aes(x=x, y=1-x),\n", + " linetype='dotted', color='red') +\n", + " theme_bw() + theme(plot.margin=unit(c(5.5, 10, 5.5, 5.5), \"points\"))\n", + "graph" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Summary: ROC Curve\n", + "\n", + "| Operation | Python | R | Notes |\n", + "|---|---|---|---|\n", + "| ROC coordinates | `roc_curve()` | cumsum() on sorted predictions | Both compute TPR/FPR across thresholds. |\n", + "| Curve plotting | matplotlib/seaborn | base/ggplot ROC plotting | Equivalent visual comparison of threshold behavior. |\n", + "| Operating point | threshold selection from curve | threshold selection from curve | Both enable cost-sensitive threshold tuning. |\n", + "\n", + "Python emphasizes explicit arrays for ROC coordinates; R often wraps computation and plotting in a single helper workflow.\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## AUC" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Python\n", + "Accuracy can easily be calculated using the _scikit-learn_ function `accuracy_score`." + ] + }, + { + "cell_type": "code", + "execution_count": 46, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "0.6917107174637571\n", + "0.691710795288669\n" + ] + } + ], + "source": [ + "print(np.sum(roc_df.recall[:-1] * np.diff(1 - roc_df.specificity)))\n", + "print(roc_auc_score([1 if yi == 'default' else 0 for yi in y], logit_reg.predict_proba(X)[:, 0]))" + ] + }, + { + "cell_type": "code", + "execution_count": 47, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fpr, tpr, thresholds = roc_curve(y, logit_reg.predict_proba(X)[:,0], \n", + " pos_label='default')\n", + "roc_df = pd.DataFrame({'recall': tpr, 'specificity': 1 - fpr})\n", + "\n", + "ax = roc_df.plot(x='specificity', y='recall', figsize=(4, 4), legend=False)\n", + "ax.set_ylim(0, 1)\n", + "ax.set_xlim(1, 0)\n", + "# ax.plot((1, 0), (0, 1))\n", + "ax.set_xlabel('specificity')\n", + "ax.set_ylabel('recall')\n", + "ax.fill_between(roc_df.specificity, 0, roc_df.recall, alpha=0.3)\n", + "\n", + "\n", + "plt.tight_layout()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### R\n", + "R computes AUC to summarize discriminative performance across thresholds.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 48, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " recall specificity\n", + "1 4.410921e-05 1.0000000\n", + "2 8.821843e-05 1.0000000\n", + "3 8.821843e-05 0.9999559\n", + "4 1.323276e-04 0.9999559\n", + "5 1.764369e-04 0.9999559\n", + "6 2.205461e-04 0.9999559\n" + ] + } + ], + "source": [ + "%%R\n", + "sum(roc_df$recall[-1] * diff(1-roc_df$specificity))\n", + "head(roc_df)" + ] + }, + { + "cell_type": "code", + "execution_count": 49, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": "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", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "%%R\n", + "graph <- ggplot(roc_df, aes(specificity)) +\n", + " geom_ribbon(aes(ymin=0, ymax=recall), fill='blue', alpha=.3) +\n", + " scale_x_reverse(expand=c(0, 0)) +\n", + " scale_y_continuous(expand=c(0, 0)) +\n", + " labs(y='recall') +\n", + " theme_bw() + theme(plot.margin=unit(c(5.5, 10, 5.5, 5.5), \"points\"))\n", + "graph" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Summary: AUC\n", + "\n", + "| Operation | Python | R | Notes |\n", + "|---|---|---|---|\n", + "| AUC computation | `roc_auc_score()` | `sum(roc_df$recall[-1] * diff(1 - roc_df$specificity))` | Both summarize ranking quality into a scalar. |\n", + "| Model comparison | compare AUC across models | compare AUC across models | Same criterion for discrimination power. |\n", + "| Interpretation | probability-of-ranking framing | probability-of-ranking framing | Equivalent interpretation across ecosystems. |\n", + "\n", + "AUC semantics are identical; API differences are mainly in where ROC objects and summaries are computed.\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Strategies for Imbalanced Data\n", + "## Undersampling" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Python\n", + "> The results differ from the R version, however are equivalent to results obtained using the R code. Model based results are of similar magnitude." + ] + }, + { + "cell_type": "code", + "execution_count": 50, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "(119987, 19)\n" + ] + } + ], + "source": [ + "full_train_set = pd.read_csv(FULL_TRAIN_SET_CSV)\n", + "print(full_train_set.shape)" + ] + }, + { + "cell_type": "code", + "execution_count": 51, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "18.894546909248504\n", + "percentage of loans in default: None\n" + ] + } + ], + "source": [ + "print('percentage of loans in default: ', \n", + "print( 100 * np.mean(full_train_set.outcome == 'default')))" + ] + }, + { + "cell_type": "code", + "execution_count": 52, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "C:\\Users\\micha\\Documents\\to02DEC25\\PyProjects\\DS-GH\\.venv\\Lib\\site-packages\\sklearn\\linear_model\\_logistic.py:1135: FutureWarning: 'penalty' was deprecated in version 1.8 and will be removed in 1.10. To avoid this warning, leave 'penalty' set to its default value and use 'l1_ratio' or 'C' instead. Use l1_ratio=0 instead of penalty='l2', l1_ratio=1 instead of penalty='l1', and C=np.inf instead of penalty=None.\n", + " warnings.warn(\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "0.1525165226232842\n", + "percentage of loans predicted to default: None\n" + ] + } + ], + "source": [ + "predictors = ['payment_inc_ratio', 'purpose_', 'home_', 'emp_len_', \n", + " 'dti', 'revol_bal', 'revol_util']\n", + "outcome = 'outcome'\n", + "X = pd.get_dummies(full_train_set[predictors], prefix='', prefix_sep='', \n", + " drop_first=True, dtype=int)\n", + "y = full_train_set[outcome]\n", + "\n", + "full_model = LogisticRegression(penalty='l2', C=1e42, solver='liblinear')\n", + "full_model.fit(X, y)\n", + "print('percentage of loans predicted to default: ', \n", + "print( 100 * np.mean(full_model.predict(X) == 'default')))" + ] + }, + { + "cell_type": "code", + "execution_count": 53, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "np.float64(123.88524590163935)" + ] + }, + "execution_count": 53, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "(np.mean(full_train_set.outcome == 'default') / \n", + " np.mean(full_model.predict(X) == 'default'))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### R\n", + "R applies balancing strategies to compare class predictions under skewed outcomes.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 54, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[1] 47.93023\n" + ] + } + ], + "source": [ + "%%R\n", + "mean(full_train_set$outcome=='default')\n", + "\n", + "full_model <- glm(outcome ~ payment_inc_ratio + purpose_ + home_ + \n", + " emp_len_+ dti + revol_bal + revol_util,\n", + " data=full_train_set, family='binomial')\n", + "pred <- predict(full_model)\n", + "mean(pred > 0)\n", + "\n", + " mean(full_train_set$outcome=='default') / mean(pred > 0)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Summary: Strategies for Imbalanced Data\n", + "\n", + "| Operation | Python | R | Notes |\n", + "|---|---|---|---|\n", + "| Class weighting | `class_weight` options | weight arguments in models | Both reweight minority class influence. |\n", + "| Sampling strategy | resampling utilities | resampling utilities | Both reduce imbalance bias at training time. |\n", + "| Metric focus | precision-recall oriented metrics | precision-recall oriented metrics | Both shift evaluation toward minority-class quality. |\n", + "\n", + "Python often uses dedicated imbalance libraries plus sklearn, while R often composes balancing methods through formula-friendly packages.\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Oversampling and Up/Down Weighting" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Python\n", + "Python applies sampling or weighting strategies to rebalance minority and majority classes.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 55, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "C:\\Users\\micha\\Documents\\to02DEC25\\PyProjects\\DS-GH\\.venv\\Lib\\site-packages\\sklearn\\linear_model\\_logistic.py:1135: FutureWarning: 'penalty' was deprecated in version 1.8 and will be removed in 1.10. To avoid this warning, leave 'penalty' set to its default value and use 'l1_ratio' or 'C' instead. Use l1_ratio=0 instead of penalty='l2', l1_ratio=1 instead of penalty='l1', and C=np.inf instead of penalty=None.\n", + " warnings.warn(\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "61.475826547876025\n", + "percentage of loans predicted to default (weighting): None\n" + ] + } + ], + "source": [ + "default_wt = 1 / np.mean(full_train_set.outcome == 'default')\n", + "wt = [default_wt if outcome == 'default' else 1 for outcome in full_train_set.outcome]\n", + "\n", + "full_model = LogisticRegression(penalty=\"l2\", C=1e42, solver='liblinear')\n", + "full_model.fit(X, y, wt)\n", + "print('percentage of loans predicted to default (weighting): ', \n", + "print( 100 * np.mean(full_model.predict(X) == 'default')))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### R\n", + "R uses oversampling and weighting methods to rebalance training signals.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 56, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[1] 0.5767208\n" + ] + } + ], + "source": [ + "%%R\n", + "wt <- ifelse(full_train_set$outcome=='default', \n", + " 1 / mean(full_train_set$outcome == 'default'), 1)\n", + "full_model <- glm(outcome ~ payment_inc_ratio + purpose_ + \n", + " home_ + emp_len_+ dti + revol_bal + revol_util,\n", + " data=full_train_set, weight=wt, family='quasibinomial')\n", + "pred <- predict(full_model)\n", + "mean(pred > 0)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Summary: Oversampling and Up/Down Weighting\n", + "\n", + "| Operation | Python | R | Notes |\n", + "|---|---|---|---|\n", + "| Oversampling | synthetic/duplicate minority sampling | synthetic/duplicate minority sampling | Both increase minority representation. |\n", + "| Downsampling | majority subsampling | majority subsampling | Both reduce class skew in the training set. |\n", + "| Up/down weighting | sample weights | model weights | Both change loss emphasis without changing labels. |\n", + "\n", + "Both ecosystems provide the same balancing levers; the practical difference is mostly package organization and defaults.\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Data Generation" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Python\n", + "The package _imbalanced-learn_ provides an implementation of the _SMOTE_ and similar algorithms. " + ] + }, + { + "cell_type": "code", + "execution_count": 57, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "percentage of loans in default (SMOTE resampled): 50.0\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "C:\\Users\\micha\\Documents\\to02DEC25\\PyProjects\\DS-GH\\.venv\\Lib\\site-packages\\sklearn\\linear_model\\_logistic.py:1135: FutureWarning: 'penalty' was deprecated in version 1.8 and will be removed in 1.10. To avoid this warning, leave 'penalty' set to its default value and use 'l1_ratio' or 'C' instead. Use l1_ratio=0 instead of penalty='l2', l1_ratio=1 instead of penalty='l1', and C=np.inf instead of penalty=None.\n", + " warnings.warn(\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "percentage of loans predicted to default (SMOTE): 29.49069482527274\n", + "percentage of loans in default (ADASYN resampled): 48.56040383751355\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "C:\\Users\\micha\\Documents\\to02DEC25\\PyProjects\\DS-GH\\.venv\\Lib\\site-packages\\sklearn\\linear_model\\_logistic.py:1135: FutureWarning: 'penalty' was deprecated in version 1.8 and will be removed in 1.10. To avoid this warning, leave 'penalty' set to its default value and use 'l1_ratio' or 'C' instead. Use l1_ratio=0 instead of penalty='l2', l1_ratio=1 instead of penalty='l1', and C=np.inf instead of penalty=None.\n", + " warnings.warn(\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "27.340461883370697\n", + "percentage of loans predicted to default (ADASYN): None\n" + ] + } + ], + "source": [ + "X_resampled, y_resampled = SMOTE().fit_resample(X, y)\n", + "print('percentage of loans in default (SMOTE resampled): ', \n", + " 100 * np.mean(y_resampled == 'default'))\n", + "\n", + "full_model = LogisticRegression(penalty=\"l2\", C=1e42, solver='liblinear')\n", + "full_model.fit(X_resampled, y_resampled)\n", + "print('percentage of loans predicted to default (SMOTE): ', \n", + " 100 * np.mean(full_model.predict(X) == 'default'))\n", + "\n", + "\n", + "X_resampled, y_resampled = ADASYN().fit_resample(X, y)\n", + "print('percentage of loans in default (ADASYN resampled): ', \n", + " 100 * np.mean(y_resampled == 'default'))\n", + "\n", + "full_model = LogisticRegression(penalty=\"l2\", C=1e42, solver='liblinear')\n", + "full_model.fit(X_resampled, y_resampled)\n", + "print('percentage of loans predicted to default (ADASYN): ', \n", + "print( 100 * np.mean(full_model.predict(X) == 'default')))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### R\n", + "R generates synthetic class-imbalance data for controlled method comparison.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 58, + "metadata": {}, + "outputs": [], + "source": [ + "%%R\n", + "loan_data_samp <- sample_frac(full_train_set, .05)\n", + "\n", + "# # install.packages('unbalanced')\n", + "# library(unbalanced)\n", + "# head(full_train_set)\n", + "# smote_data <- ubSMOTE(loan_data_samp, loan_data_samp$outcome, \n", + "# perc.over = 2000, k = 5, perc.under = 100)\n", + "# head(smote_data)\n", + "\n", + "# install.packages('DMwR')\n", + "# library(DMwR)\n", + "# smote_data <- SMOTE(outcome ~ ., loan_data_samp, \n", + "# perc.over = 2000, perc.under=100)\n", + "# dim(loan_data_samp)\n", + "# dim(smote_data)\n", + "# head(smote_data)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Summary: Data Generation\n", + "\n", + "| Operation | Python | R | Notes |\n", + "|---|---|---|---|\n", + "| Synthetic data setup | NumPy/Pandas generation | base R generation | Both create controlled imbalance scenarios. |\n", + "| Label process | explicit probability rules | explicit probability rules | Both allow transparent signal-to-noise tuning. |\n", + "| Validation use | benchmark balancing methods | benchmark balancing methods | Same objective for stress-testing classifiers. |\n", + "\n", + "Python and R are equivalent for simulation tasks; Python tends toward array-centric construction, R toward concise vectorized expressions.\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Exploring the Predictions" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Python\n", + "Python visualizes and compares predicted probabilities under different balancing strategies.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 59, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "C:\\Users\\micha\\Documents\\to02DEC25\\PyProjects\\DS-GH\\.venv\\Lib\\site-packages\\sklearn\\linear_model\\_logistic.py:1135: FutureWarning: 'penalty' was deprecated in version 1.8 and will be removed in 1.10. To avoid this warning, leave 'penalty' set to its default value and use 'l1_ratio' or 'C' instead. Use l1_ratio=0 instead of penalty='l2', l1_ratio=1 instead of penalty='l1', and C=np.inf instead of penalty=None.\n", + " warnings.warn(\n", + "\u001b[38;2;0;255;0m100%\u001b[39m \u001b[38;2;0;255;0m(11 of 11)\u001b[39m |########################| Elapsed Time: 0:00:00 Time: 0:00:000:00\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "LinearGAM(callbacks=[Deviance(), Diffs()], fit_intercept=True, \n", + " max_iter=100, scale=None, terms=s(0) + s(1) + intercept, \n", + " tol=0.0001, verbose=False)\n" + ] + } + ], + "source": [ + "loan3000 = pd.read_csv(LOAN3000_CSV)\n", + "\n", + "predictors = ['borrower_score', 'payment_inc_ratio']\n", + "outcome = 'outcome'\n", + "\n", + "X = loan3000[predictors]\n", + "y = loan3000[outcome]\n", + "\n", + "loan_tree = DecisionTreeClassifier(random_state=1, criterion='entropy', \n", + " min_impurity_decrease=0.003)\n", + "loan_tree.fit(X, y)\n", + "\n", + "loan_lda = LinearDiscriminantAnalysis()\n", + "loan_lda.fit(X, y)\n", + "\n", + "logit_reg = LogisticRegression(penalty=\"l2\", solver='liblinear')\n", + "logit_reg.fit(X, y)\n", + "\n", + "\n", + "## model\n", + "gam = LinearGAM(s(0) + s(1))\n", + "print(gam.gridsearch(X.values, [1 if yi == 'default' else 0 for yi in y]))" + ] + }, + { + "cell_type": "code", + "execution_count": 60, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "models = {\n", + " 'Decision Tree': loan_tree,\n", + " 'Linear Discriminant Analysis': loan_lda,\n", + " 'Logistic Regression': logit_reg,\n", + " 'Generalized Additive Model': gam,\n", + "}\n", + "\n", + "fig, axes = plt.subplots(nrows=2, ncols=2, figsize=(5, 5))\n", + "\n", + "xvalues = np.arange(0.25, 0.73, 0.005)\n", + "yvalues = np.arange(-0.1, 20.1, 0.1)\n", + "xx, yy = np.meshgrid(xvalues, yvalues)\n", + "X = pd.DataFrame({\n", + " 'borrower_score': xx.ravel(),\n", + " 'payment_inc_ratio': yy.ravel(),\n", + "})\n", + "\n", + "boundary = {}\n", + "\n", + "for n, (title, model) in enumerate(models.items()):\n", + " ax = axes[n // 2, n % 2]\n", + " predict = model.predict(X)\n", + " if 'Generalized' in title:\n", + " Z = np.array([1 if z > 0.5 else 0 for z in predict])\n", + " else:\n", + " \n", + " Z = np.array([1 if z == 'default' else 0 for z in predict])\n", + " Z = Z.reshape(xx.shape)\n", + " boundary[title] = yvalues[np.argmax(Z > 0, axis=0)]\n", + " boundary[title][Z[-1,:] == 0] = yvalues[-1]\n", + "\n", + " c = ax.pcolormesh(xx, yy, Z, cmap='Blues', vmin=0.1, vmax=1.3, shading='auto')\n", + " ax.set_title(title)\n", + " ax.grid(True)\n", + "\n", + "plt.tight_layout()\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 61, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "boundary['borrower_score'] = xvalues\n", + "boundaries = pd.DataFrame(boundary)\n", + "\n", + "fig, ax = plt.subplots(figsize=(5, 4))\n", + "boundaries.plot(x='borrower_score', ax=ax)\n", + "ax.set_ylabel('payment_inc_ratio')\n", + "ax.set_ylim(0, 20)\n", + "\n", + "\n", + "plt.tight_layout()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### R\n", + "R visualizes predicted probabilities and classification behavior after rebalancing.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 62, + "metadata": {}, + "outputs": [], + "source": [ + "%%R\n", + "loan_tree <- rpart(outcome ~ borrower_score + payment_inc_ratio,\n", + " data=loan3000, \n", + " control = rpart.control(cp=.005))\n", + "\n", + "geom_abline(slope=slope, intercept=intercept, color='darkgreen')\n", + "lda_pred <- data.frame(borrower_score = c((0 - intercept) / slope, (20 - intercept) / slope),\n", + " payment_inc_ratio = c(0, 20),\n", + " method = rep('LDA', 2))\n", + "\n", + "tree_pred <- data.frame(borrower_score = c(0.375, 0.375, 0.475, 0.475, 0.575, 0.575),\n", + " payment_inc_ratio = c(0, 4.426, 4.426, 10.42, 10.42, 20),\n", + " method = rep('Tree', 6))\n", + "\n", + "glm0 <- glm(outcome ~ (payment_inc_ratio) + (borrower_score),\n", + " data=loan3000, family='binomial')\n", + "y <- seq(from=0, to=20, length=100)\n", + "x <- (-glm0$coefficients[1] - glm0$coefficients[2]*y)/glm0$coefficients[3]\n", + "glm0_pred <- data.frame(borrower_score=x, payment_inc_ratio=y, method='Logistic')\n", + "\n", + "gam1 <- gam(outcome ~ s(payment_inc_ratio) + s(borrower_score),\n", + " data=loan3000, family='binomial')\n", + "gam_fun <- function(x){\n", + " rss <- sum(predict(gam1, newdata=data.frame(borrower_score=x, payment_inc_ratio=y))^2)\n", + "}\n", + "est_x <- nlminb(seq(from=.33, to=.73, length=100), gam_fun )\n", + "gam1_pred <- data.frame(borrower_score=est_x$par, payment_inc_ratio=y, method=\"GAM\")\n", + "\n", + "loan_fits <- rbind(lda_pred,\n", + " tree_pred,\n", + " glm0_pred,\n", + " gam1_pred)" + ] + }, + { + "cell_type": "code", + "execution_count": 63, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "%%R\n", + "graph <- ggplot(data=loan_fits, aes(x=borrower_score, y=payment_inc_ratio, color=method, linetype=method)) +\n", + " geom_line(size=1.5) +\n", + " theme(legend.key.width = unit(2,\"cm\")) +\n", + " guides(linetype = guide_legend(override.aes = list(size = 1)))\n", + "graph" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Summary: Exploring the Predictions\n", + "\n", + "| Operation | Python | R | Notes |\n", + "|---|---|---|---|\n", + "| Probability distribution review | histograms/density by class | histograms/density by class | Both inspect separation quality visually. |\n", + "| Threshold impact | confusion trade-off checks | confusion trade-off checks | Both evaluate decision sensitivity to cutoff changes. |\n", + "| Method comparison | side-by-side prediction diagnostics | side-by-side prediction diagnostics | Both compare balancing strategies consistently. |\n", + "\n", + "Both languages support the same interpretive diagnostics; differences are primarily in plotting APIs and helper function ecosystems.\n" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.12.7" + } + }, + "nbformat": 4, + "nbformat_minor": 4 +} diff --git a/python_R/notebooks/Chapter 6 - Statistical Machine Learning.ipynb b/python_R/notebooks/Chapter 6 - Statistical Machine Learning.ipynb new file mode 100644 index 0000000..a8a574e --- /dev/null +++ b/python_R/notebooks/Chapter 6 - Statistical Machine Learning.ipynb @@ -0,0 +1,2640 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Practical Statistics for Data Scientists (Python + R)\n", + "# Chapter 6. Statistical Machine Learning\n", + "> (c) 2019 Peter C. Bruce, Andrew Bruce, Peter Gedeck\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Loading the rpy2 extension in a notebook with the Python kernel\n" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "import sys\n", + "import io\n", + "\n", + "stderr_original = sys.stderr\n", + "sys.stderr = io.StringIO()\n", + "\n", + "%load_ext rpy2.ipython\n", + "\n", + "sys.stderr = stderr_original\n" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "%%R\n", + "suppressWarnings(\n", + " invisible(\n", + " try(Sys.setlocale(\"LC_ALL\", \"English\"), silent = TRUE)\n", + " )\n", + ")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Import packages\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Import required Python packages\n" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [], + "source": [ + "import math\n", + "import os\n", + "import random\n", + "from pathlib import Path\n", + "from collections import defaultdict\n", + "from itertools import product\n", + "\n", + "\n", + "import pandas as pd\n", + "import numpy as np\n", + "\n", + "from sklearn import preprocessing\n", + "from sklearn.neighbors import KNeighborsClassifier\n", + "from sklearn import metrics\n", + "from sklearn.model_selection import train_test_split\n", + "from sklearn.tree import DecisionTreeClassifier, plot_tree\n", + "from sklearn.ensemble import RandomForestClassifier\n", + "\n", + "from xgboost import XGBClassifier\n", + "\n", + "from dmba import plotDecisionTree, textDecisionTree\n", + "\n", + "import seaborn as sns\n", + "import matplotlib.pyplot as plt\n", + "from matplotlib.patches import Ellipse\n", + "\n", + "%matplotlib inline" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [], + "source": [ + "try:\n", + " import common\n", + " DATA = common.dataDirectory()\n", + "except ImportError:\n", + " DATA = Path().resolve() / 'data'" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Import required R packages\n" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "\n", + "Dołączanie pakietu: 'dplyr'\n", + "\n", + "Następujące obiekty zostały zakryte z 'package:stats':\n", + "\n", + " filter, lag\n", + "\n", + "Następujące obiekty zostały zakryte z 'package:base':\n", + "\n", + " intersect, setdiff, setequal, union\n", + "\n", + "randomForest 4.7-1.2\n", + "Type rfNews() to see new features/changes/bug fixes.\n", + "\n", + "Dołączanie pakietu: 'randomForest'\n", + "\n", + "Następujący obiekt został zakryty z 'package:ggplot2':\n", + "\n", + " margin\n", + "\n", + "Następujący obiekt został zakryty z 'package:dplyr':\n", + "\n", + " combine\n", + "\n", + "In addition: Warning messages:\n", + "1: In Sys.setlocale(\"LC_ALL\", \"en_US.UTF-8\") :\n", + " using locale code page other than 1250 may cause problems\n", + "2: pakiet 'randomForest' został zbudowany w wersji R 4.5.3 \n", + "3: pakiet 'xgboost' został zbudowany w wersji R 4.5.3 \n" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "%%R\n", + "Sys.setlocale(\"LC_ALL\", \"en_US.UTF-8\")\n", + "# Install missing packages if needed\n", + "packages <- c(\"dplyr\", \"ggplot2\", \"FNN\", \"rpart\", \"randomForest\", \"xgboost\")\n", + "installed <- rownames(installed.packages())\n", + "to_install <- packages[!packages %in% installed]\n", + "if (length(to_install) > 0) {\n", + " install.packages(to_install, repos = 'https://cloud.r-project.org/')\n", + "}\n", + "\n", + "# Load them all\n", + "library(dplyr)\n", + "library(ggplot2)\n", + "library(FNN)\n", + "library(rpart)\n", + "library(randomForest)\n", + "library(xgboost)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Defining data paths\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Python\n", + "Python defines file paths for chapter datasets and configures XGBoost compatibility settings.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [], + "source": [ + "LOAN200_CSV = DATA / 'loan200.csv'\n", + "LOAN3000_CSV = DATA / 'loan3000.csv'\n", + "LOAN_DATA_CSV = DATA / 'loan_data.csv.gz'" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [], + "source": [ + "os.environ['KMP_DUPLICATE_LIB_OK'] = 'TRUE'" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### R\n", + "R loads the same chapter datasets and sets the same environment fallback for XGBoost training.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [], + "source": [ + "%%R\n", + "PSDS_PATH <- file.path(dirname(dirname(getwd())))\n", + "\n", + "loan200 <- read.csv(file.path(PSDS_PATH, 'data', 'loan200.csv'), stringsAsFactors=TRUE)\n", + "loan200$outcome <- ordered(loan200$outcome, levels=c('paid off', 'default'))\n", + "\n", + "loan3000 <- read.csv(file.path(PSDS_PATH, 'data', 'loan3000.csv'), stringsAsFactors=TRUE)\n", + "loan3000$outcome <- ordered(loan3000$outcome, levels=c('paid off', 'default'))\n", + "\n", + "loan_data <- read.csv(file.path(PSDS_PATH, 'data', 'loan_data.csv.gz'), stringsAsFactors=TRUE)\n", + "loan_data <- dplyr::select(loan_data, -X, -status)\n", + "loan_data$outcome <- ordered(loan_data$outcome, levels=c('paid off', 'default'))" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [], + "source": [ + "%%R\n", + "# Set this if XGBoost returns training errors of 0\n", + "Sys.setenv(KMP_DUPLICATE_LIB_OK = \"FALSE\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Summary: Defining data paths\n", + "\n", + "| Operation | Python | R | Notes |\n", + "|---|---|---|---|\n", + "| Base path setup | `Path(...)` / explicit strings | direct path strings in `read.csv()` | Both point to the same chapter datasets. |\n", + "| Dataset loading | `pd.read_csv(...)` | `read.csv(...)` | Equivalent import step with language-specific defaults. |\n", + "| Basic preprocessing | pandas column transforms | base R column transforms | Both align units before analysis. |\n", + "\n", + "Python makes path handling and transformations explicit through objects, while R keeps data import and quick preprocessing concise." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# K-Nearest Neighbors\n", + "## A Small Example: Predicting Loan Default" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Python\n", + "Python fits KNN classifiers and visualizes neighborhood-based decision behavior on loan data.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[[0.45 0.55]]\n" + ] + } + ], + "source": [ + "loan200 = pd.read_csv(LOAN200_CSV)\n", + " \n", + "predictors = ['payment_inc_ratio', 'dti']\n", + "outcome = 'outcome'\n", + "\n", + "\n", + "newloan = loan200.loc[0:0, predictors]\n", + "X = loan200.loc[1:, predictors]\n", + "y = loan200.loc[1:, outcome]\n", + "\n", + "knn = KNeighborsClassifier(n_neighbors=20)\n", + "knn.fit(X, y)\n", + "knn.predict(newloan)\n", + "print(knn.predict_proba(newloan))" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "nbrs = knn.kneighbors(newloan)\n", + "maxDistance = np.max(nbrs[0][0])\n", + "\n", + "fig, ax = plt.subplots(figsize=(4, 4))\n", + "sns.scatterplot(x='payment_inc_ratio', y='dti', style='outcome', \n", + " hue='outcome', data=loan200, alpha=0.3, ax=ax)\n", + "sns.scatterplot(x='payment_inc_ratio', y='dti', style='outcome', \n", + " hue='outcome', \n", + " data=pd.concat([loan200.loc[0:0, :], loan200.loc[nbrs[1][0] + 1,:]]), \n", + " ax=ax, legend=False)\n", + "ellipse = Ellipse(xy=newloan.values[0], \n", + " width=2 * maxDistance, height=2 * maxDistance,\n", + " edgecolor='black', fc='None', lw=1)\n", + "ax.add_patch(ellipse)\n", + "ax.set_xlim(3, 16)\n", + "ax.set_ylim(15, 30)\n", + "\n", + "plt.tight_layout()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### R\n", + "R fits KNN with the same predictors and compares neighborhood decisions.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[1] TRUE\n" + ] + } + ], + "source": [ + "%%R\n", + "newloan <- loan200[1, 2:3, drop=FALSE]\n", + "knn_pred <- knn(train=loan200[-1, 2:3], test=newloan, cl=loan200[-1, 1], k=20)\n", + "knn_pred == 'paid off'" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[1] \"paid off\" \"default\" \n" + ] + } + ], + "source": [ + "%%R\n", + "## look at the nearest 20 records and create circle\n", + "# we add 1 as we excluded the first data point for prediction\n", + "nearest_points <- loan200[attr(knn_pred, 'nn.index') + 1, ] \n", + "nearest_points\n", + "dist <- attr(knn_pred, 'nn.dist')\n", + "\n", + "circleFun <- function(center=c(0, 0), r=1, npoints=100){\n", + " tt <- seq(0, 2 * pi, length.out=npoints - 1)\n", + " xx <- center[1] + r * cos(tt)\n", + " yy <- center[2] + r * sin(tt)\n", + " return(data.frame(x=c(xx, xx[1]), y=c(yy, yy[1])))\n", + "}\n", + "\n", + "circle_df <- circleFun(center=unlist(newloan), r=max(dist), npoints=201)\n", + "\n", + "loan200_df <- loan200 # bind_cols(loan200, circle_df)\n", + "levels(loan200_df$outcome)" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [], + "source": [ + "%%R\n", + "# set first entry as target - requires adding additional level to factor\n", + "levels(loan200_df$outcome) <- c(levels(loan200_df$outcome), \"newloan\")\n", + "loan200_df[1, 'outcome'] <- 'newloan'\n", + "head(loan200_df)\n", + "levels(nearest_points$outcome) <- levels(loan200_df$outcome)" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "%%R\n", + "graph <- ggplot(data=loan200_df, aes(x=payment_inc_ratio, y=dti, color=outcome)) + # , shape=outcome)) +\n", + " geom_point(aes(shape=outcome), size=2, alpha=0.4) +\n", + " geom_point(data=nearest_points, aes(shape=outcome), size=2) +\n", + " geom_point(data=loan200_df[1,], aes(shape=outcome), size=2) +\n", + " scale_shape_manual(values=c(15, 16, 4)) +\n", + " scale_color_manual(values = c(\"paid off\"=\"#1b9e77\", \"default\"=\"#d95f02\", \"newloan\"='black')) +\n", + " geom_path(data=circle_df, aes(x=x, y=y), color='black') +\n", + " coord_cartesian(xlim=c(3, 15), ylim=c(17, 29)) +\n", + " theme_bw() \n", + "graph" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Summary: K-Nearest Neighbors\n", + "\n", + "| Operation | Python | R | Notes |\n", + "|---|---|---|---|\n", + "| Model fit | `KNeighborsClassifier` | `knn`/nearest-neighbor helpers | Both classify by local neighborhood similarity. |\n", + "| Decision view | matplotlib boundary plots | ggplot decision region plots | Both visualize class regions from distances. |\n", + "| Prediction | `predict_proba()` / `predict()` | class vote outputs | Equivalent neighbor-voting classification logic. |\n", + "\n", + "Python generally exposes modeling steps through estimator objects, while R generally expresses the same steps through concise statistical functions and formula interfaces.\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Standardization (Normalization, Z-Scores)\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Python\n", + "Python standardizes predictors before distance-based learning to avoid scale dominance.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " payment_inc_ratio dti revol_bal revol_util\n", + "0 2.3932 1.0 1687 9.4\n", + " payment_inc_ratio dti revol_bal revol_util\n", + "35536 1.47212 1.46 1686 10.0\n", + "33651 3.38178 6.37 1688 8.4\n", + "25863 2.36303 1.39 1691 3.5\n", + "42953 1.28160 7.14 1684 3.9\n", + "43599 4.12244 8.98 1684 7.2\n" + ] + } + ], + "source": [ + "loan_data = pd.read_csv(LOAN_DATA_CSV)\n", + "loan_data = loan_data.drop(columns=['Unnamed: 0', 'status'])\n", + "loan_data['outcome'] = pd.Categorical(loan_data['outcome'], \n", + " categories=['paid off', 'default'], \n", + " ordered=True)\n", + "\n", + "\n", + "predictors = ['payment_inc_ratio', 'dti', 'revol_bal', 'revol_util']\n", + "outcome = 'outcome'\n", + "\n", + "newloan = loan_data.loc[0:0, predictors]\n", + "print(newloan)\n", + "X = loan_data.loc[1:, predictors]\n", + "y = loan_data.loc[1:, outcome]\n", + "\n", + "knn = KNeighborsClassifier(n_neighbors=5)\n", + "knn.fit(X, y)\n", + "\n", + "nbrs = knn.kneighbors(newloan)\n", + "print(X.iloc[nbrs[1][0], :])" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " payment_inc_ratio dti revol_bal revol_util\n", + "2080 2.61091 1.03 1218 9.7\n", + "1438 2.34343 0.51 278 9.9\n", + "30215 2.71200 1.34 1075 8.5\n", + "28542 2.39760 0.74 2917 7.4\n", + "44737 2.34309 1.37 488 7.2\n" + ] + } + ], + "source": [ + "newloan = loan_data.loc[0:0, predictors]\n", + "X = loan_data.loc[1:, predictors]\n", + "y = loan_data.loc[1:, outcome]\n", + "\n", + "scaler = preprocessing.StandardScaler()\n", + "scaler.fit(X * 1.0)\n", + "\n", + "X_std = scaler.transform(X * 1.0)\n", + "newloan_std = scaler.transform(newloan * 1.0)\n", + "\n", + "knn = KNeighborsClassifier(n_neighbors=5)\n", + "knn.fit(X_std, y)\n", + "\n", + "nbrs = knn.kneighbors(newloan_std)\n", + "print(X.iloc[nbrs[1][0], :])" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### R\n", + "R standardizes variables before KNN to preserve distance comparability.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " payment_inc_ratio dti revol_bal revol_util\n", + "35537 1.47212 1.46 1686 10.0\n", + "33652 3.38178 6.37 1688 8.4\n", + "25864 2.36303 1.39 1691 3.5\n", + "42954 1.28160 7.14 1684 3.9\n", + "43600 4.12244 8.98 1684 7.2\n" + ] + } + ], + "source": [ + "%%R\n", + "loan_df <- model.matrix(~ -1 + payment_inc_ratio + dti + revol_bal + \n", + " revol_util, data=loan_data)\n", + "newloan <- loan_df[1, , drop=FALSE]\n", + "loan_df <- loan_df[-1,]\n", + "outcome <- loan_data[-1, 1]\n", + "knn_pred <- knn(train=loan_df, test=newloan, cl=outcome, k=5)\n", + "loan_df[attr(knn_pred, \"nn.index\"),]\n" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " payment_inc_ratio dti revol_bal revol_util\n", + "2081 2.61091 1.03 1218 9.7\n", + "1439 2.34343 0.51 278 9.9\n", + "30216 2.71200 1.34 1075 8.5\n", + "28543 2.39760 0.74 2917 7.4\n", + "44738 2.34309 1.37 488 7.2\n" + ] + } + ], + "source": [ + "%%R\n", + "loan_df <- model.matrix(~ -1 + payment_inc_ratio + dti + revol_bal + \n", + " revol_util, data=loan_data)\n", + "loan_std <- scale(loan_df)\n", + "newloan_std <- loan_std[1, , drop=FALSE]\n", + "loan_std <- loan_std[-1,]\n", + "loan_df <- loan_df[-1,]\n", + "outcome <- loan_data[-1, 1]\n", + "knn_pred <- knn(train=loan_std, test=newloan_std, cl=outcome, k=5)\n", + "loan_df[attr(knn_pred, \"nn.index\"),]\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Summary: Standardization (Normalization, Z-Scores)\n", + "\n", + "| Operation | Python | R | Notes |\n", + "|---|---|---|---|\n", + "| Scaling | `preprocessing.StandardScaler()` / transformers | `scale()`/matrix normalization | Both remove unit-scale bias in distance metrics. |\n", + "| Model input | scaled NumPy/pandas arrays | scaled model matrices | Equivalent standardized feature space. |\n", + "| KNN impact | improved distance comparability | improved distance comparability | Same rationale for preprocessing. |\n", + "\n", + "Python generally exposes modeling steps through estimator objects, while R generally expresses the same steps through concise statistical functions and formula interfaces.\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## KNN as a Feature Engine\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Python\n", + "Python uses nearest-neighbor outputs as engineered features for downstream modeling.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "count 45342.000000\n", + "mean 0.501091\n", + "std 0.128728\n", + "min 0.000000\n", + "25% 0.400000\n", + "50% 0.500000\n", + "75% 0.600000\n", + "max 0.950000\n", + "Name: borrower_score, dtype: float64\n" + ] + }, + { + "data": { + "image/png": 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ns8RqpcIDZ+jTLCu8TKMDXsTP+SJD/68qVyZOUtlszjal8c9CiTIPRk44VBjv24cjOd9Lq3UZ9tNqoE/iQBc3MMF0NEttpekb5upmwXqjSMgDwQjlgdt7Q13L65vNMzkgmePHqW22q3JqOC8y2xPHxc/IYAiHnPh41kbFAW53ana3NxFaFM8dLP9+1r3I7ikZ+pBpsI2KbbdrVioFD7zf4xzqs+758vdOY6WfxHGAB0MgstzGyjVBVk1TUwcN9w3khPehlLM3mChwWbxmnhevEgT+d/qYiBylIAJUPg8BRzqMbL1Z1nuwCOTWm1X9LHtiMbADzchey4PqkV5vHM1spVYVspO9DqU2EK50IdipFCu2VvehebzekzgZrvvGwVD7JQvIwjixz51rH7cwf5pEuhdBffjTWM/rc74qAd9ngSsznl8H3D7Q3zBKbK1VeaHIqietPBhZWmwqskgMfKPqWSgH7CRH/SRR8UlZcHcytWLRu0x4X5wiGSzfBxEnYMARZtd3WtCwmKFEs0QR8WnOgwAI0uN9smLR2nWH40/7XFfWm8qeFzPdR9GY4O+rG00LApyrKRAZz1EF7kcWYD3KoX7SoXInBSkPy+YyA5uhDVO9bqDyF7/HkSZQXdYq4ecJQiCUEujxLHkepwV6J3X39MczPXPKL9OIPRHYpdWm3ivjjGSE20rp/v5cfK1KKRXSJoXX2cxGKsNF2msE3Cl7cV5647McjSO7VCkJoVuEcJ/EyXCNO72Jfr5RLQlZ4mtKOFnA96pm0y/relUCvheZHB0v+Jcm/iROxCWrlF0+4EU+Y3kwcsLiobHBToKnF2Ht/f70AWeUweFn1eKWNzAOha+LBVNnBzwRNgwk0YzDMQ5p3/Tff5jq5aIDZWUtpYsr40uAmBSLgZxfnCT2+mZL3z+rfHNlo/lEGhNcB840cz78TmKpylDL6NBph/qs91FZ5JTW4SzYIVPg/hIwOBfk4dlcFriMwsQGYaQyGK9RLRatWi5Yu176hFYJAaTub7U8z0iSMzOSRcfMaxyOplYtl8TdGE1mttIsiw+S/fpZqMLia7GfWCBaPcpMjaKFEaW7VOgW953gCg5Q9m/RvJ68eC+e1MlkiJAHZP71q55N5+vlWBmPDz7ei9QmO3tI+flFPmN5MHLCOi1rw6llsDYRJ5krpZNFOJyfYSM8TgskyAS8g90BjjlVIIIj2x1M7K6cdWLloGCDMV0VBf1sFoBMwmT+e/d1IVh00pyG2GQblo26blUFLmTulCAeFu3/IBoTy0hDxmtYRodOO9SnvQ+RP5/3pNZh3ovv8TNwIQaTWGWVr19a03s9iqAYzpTrA1lYbVSkOxKVeG71U7RKHi8jyVRp+Zkojm2zVbNaJbLuMLJCMbBWpXxc913en1kAS9mIxecl8MvuM3wnEB1QqZ3e1OI4tSHXXGYfVdXWTIknmF8HiNeTGNNl5InPDKoD8jIiiEtSO7dU1nsVs+l8ffbXIgKb8fleFHSv9Ajl5xdVnC4PRk5Zy1kbi+6GDNZG+grYuXQQ2KX1hl3fHwm9oLRzFq/jpEAHR5J1djSrnvETkFBrJ7MGweDfVNqIUrt2MBDsXQqKdqs7tFqxZOvtinQh5NhOKB8sXsuDG9Y7Htiwjzp/5BOb6DHq/1nWvchrWESHzjrUJ70PpR7QhKx1uD+O9LMZ/4EFIkIgkiSB/h1CKMJeb1Scv7C8lss9BH+dOYqE8cGRc416LtF9Iit8jKx08qgZyWJ9FyQEVGW97cEHC54NJNblTiBurQLY2APYW0ejT5CceV9Kaf767MtYe4XuIcpylMsgSu8NpiIjwwFaLL2dtpaN2fL9ytRpL602dJ8WdWleJOOXr3w97joJneXsPwwRfxYrPoOjB3GcUi/JxWdlZEMejJyxFrM2skyM6iKsrTa2WWwf7g7kEC+u1i1NzuZ1nBTonJTxo3kB2rHaLGuTw1P44F7fmpWSoPQgTS1MUm9FbXnL5SBJLUoSqxSL+r2zUAqcsnQ0nsJwtset/2c8CtCEDAkBHXrYbBj+DUdHIMHn5r7gkEE6eB0PPsZCCzKyJygByAGICJ8ZI8J7cW9Pej4nGRsCRe47hxeG+nu73mVFaenz2x3rrKDzEbhOxxkZyWkCdfujqZAUAo/BlFJQ2zY6FbVCQyR9Da7OvNy2GLyA+PD6PGtagk8iOWd7je4l7le5HEgfhfvMs7qw3lAwzbXwWlk78mmZ00mBB/cnu1+Hw/AT6rSnyebnK1/Paz0pOnAaOrtc2nzWa/yQoILkgpJy8hkg3GYrD0Ye9UYVCnIus8F9WBsH1CqXrIVORb1ko2lsO/3JcVb+qC2Qy/NKMOhoPJCFg5CQsdKNwtedRtnu9NAOKdgsTazdKNkkmlmYFGznaGobLRCSkjbiSQzqZRlxSgJZueIHqeU/6u/cd6aJyhpxbMfdHSfxW5Z/F8cHepCVJnhfOlkylOckB06QQ8ACIkIggqKo9xAFj2xsVltVOf8P7w0MNs7V9YZQkfd3e/ajVzf0Xo8TkIm3M5jax7sD2x+FMhoXOnUZCkpCtWpBe2jxviwaE5AlhOfotjofoQOTWnX+c8vBsEikldKx1kCmj8I1ci/5XBl6QXDH/j6NBLxszESEtVRIDvcTBMp1Jpzoy/chL78Ixi5f+fpB0YEXQU49PiOoYGVSEfiKxe+9iITbxZUHI4+4MKY4NTYAnBGcxyZaIEFBxMtZXLGd/oNZ+aMa4GUOAFyDlXrF6tWiuiEIRAqptxkTApHZIhqmkkBA5p/ancOpUY6/ut6yaRyfyFc4aRMT7PA6J13T427Qh/3O4nwatE841ECc3NeHBSLLLPEsMLlcaTwQBCw7cBafD44IiAq8Dxc2K8pRLjvb00hpWXt0p16x1UZZQmjVcqyW2YyncVJpT+3TS8FZ5sRv7g/tOmq048gqpaIC0C9sddSWfVJ5Z1FMjYC1OBdTA605HEUquWSvv2wgTysPUt6h9EjwEPYSu25Du7DqBN/lzClTCaYUmRkz9itvk5GtQaAI+Cx1ng1oD/sz6wR6WdeLWofP14PrB0UHnnYX2JPsm9kZQYW+f8r3XoRA6qyVByOPsSl4wG+da2tGiW5eobAAzZ+clT/q62eODMdCwp4RFjPdEXV0gIBoIBpOsWyXVpo2S5kdUlJQcWWtoWh4lhRP5Cs8z8j4pPk0ODzen8z6YeuTWhypHCEOks/4sCCA93qt1LLrBwMFaKd13JxFSuN9UCgF0UEDBiJro+Lt38sB2WnZV2YMQQ3goPC9qcjDBYtnyNJH9lrpfvvraQJyfNY1ZT7eCk5StNGuOhH5FAO5HCyJ3LugqjuZTW236+23y/uDbYlKMGUlyoRX15sWFEzvnZVqQFfg04A87Q0nqlkTxBF8vkhw8NMOHl7kOny+HlxPwwY+rS6wJ903pYcEFY/SafeiEG4XVx6MPOamyJxSth6WlT/O62evjXPLNlM4d1R0I4yn3hJ7ZbUhzQ86a4DGORRZd0omx3wSg/pxW9GelsFenk8DyRRpdYKSxS6Rs97vUdRxHyae5sqxgQKKRUOUddw8jJTGc0Xp9J2drhARAhG+PinwPC37WpTHB73iGl9bbVgSuAQ79+MkxdwHRPmSsR0MnFvz+XO8Zqq9x+ufxLn5pMbK/b23qKpbClxoLwuus/3hKsFjBcr86n5vquD3axdW7dKq319JxSeJXVxtKEA/OAzFs1mrV6xaKZyps/JpLu4F9x2+1MOG/z3q673IdfhntT6rSNDTQgcehgI/7P78IPum+JCg4qzvvcjt9K98MPIkm+I0XQ/+nf9l2v9nvf4iWZN10lRFMn+NO0APAp2O9YZQEgKNrLSS6YlstmvKTk/agMutaAQCOAde57TI+KRR8k+iiJp9tswB4zTHYd8+2B3YdqcqFImAi3VWwPYo6rjZa5xWSz0tGNM1PiIpbb1VsR+tbei+c19OKi+dlX1lxpDPTMfNjYORzRBIWyO4LEqh9iTF3GxlAnIQUjOHmj3Hk67lrOBM7betmjqy4BhxT7+w3bY2ImULLcN8J+tIKhdL9sZWyw7h7kgp5v5+xzjTBHS11LTpbGZ7/VAIyaznbb2naeN8WgYxK4+xf5L5/jlt6vKjrhe9Dv8s1ouABD3p/vk00IFHuT8/6L6pnxFUPCzgeFHb6V/5YGRxU5ABqjYenb4pTtpoLJxKJquNyBTIRZYtLm+6TBzLUY2T585kXSOgIYyshw9ApwxOkMwOx052vvieZKWLnQuZQFuGmvC6e/2pHQxD24T8WX74KHlHarzD4iQi4mltnYuHYDEbAR2BaItGC6+NU8ZBPKwd+VHUcVmn6ZBo2NwpJRhNSj4jW1o2fPz8ouPP7jOLazqtBZmf49cWZea/cnHlWGb+LD2S5WtYnQctP0j2xX2k1ALvKJyldnGlLtVYfs8DURfH45kudyTx7ECT4Ewt6+roHhWLQln4bJngWfYZpP47fFAHR8MEn2FwslweC1JXnN2al7aeNHh40evwT3s9TSToSQOKHzQYelRu17O8P09j3xSXgoqzENDPwnrlg5FsU0AIpK1SA8IqRTn2udTD8Tq1m2BJVpt5HGTgyGovb7pFcax65ZNzZ3g9DCTqrswkYZ7ITm9s7+507a2tjkitONQP7vblvEFMsveEJ4JC6qL2A6qa6EjQdkwHC6JtR0O6gVJL05oFhQcPyuIoeVAMuoNwSutccxPyZuXU+3FSW6eXT+6jGjf2/fO+udWUsxpFsTwV92lRzfR+gHHfSWWL3vnThrct32tEvRCO49lkPJHFEkxmiBgKR5CYIU9ZUPAww8f3F+e7QGpm72Q8ikW1WdpvMwXYZWN4llE+7Royg5MFQ4tBKK+XTe89mehW0Gvy82+ca+leQXjma/59UfOGz8F7Zh1J8H0096hSPFFXxx17oD2dLUpz8HU+qU7r9w+eydMom5y2FtE5AhL2HUmHAvuqt8E/iZN80evwT3s9jLv1rAOKpxUMPYzb9aTrURGPx9038UP25IuAVv2g65UPRjLtio/2+rbTnbpBtkBdBpBVT+pmWNxoOC/Eqhb1R/b7E/tgd6gZLhg/Wm278VRdHIviWMtzZxBNA0LG0AODCy0pERjRmjq1/eHEXqs0Ba3fOBxqA3fmMuEEHbzfoqPB6CJs5UPLRqr37w5CZYV3ulPrjmb2ZtC22cr9g6LPmCRWLpjdPpoYPxxFsY3LBQVIkpA/gRC73Na5DH+T+RLMDCY1q1X5eYTDfCLtioIQJ4Ty+uLJMPBvltqt/lCfTbwIdDKkEnu/1JSJki0fcK4VUboIUujUNWBqJUershLMoqLuBGQjJWAp28oCx+assg8G+M7hWJL2BFTci+/e7ur1XttoqnTGswGZGoQztcz2RzMFrt+44gqw2Totw2GdFABnwdQi8ZZAB4cwCWdy7HzNa7GfuG/cz6zlfHkvFxs+uDCbe7OMFNZWCupI+ni/LyIrTrxdK52oq6PXC4L5z5T1/qB7dAnpM0T8XGzr5vvi+t5QgQmB7rPiXGTaNry+pjAfztSijcz+ohN4nPJktp5mHX4ZZXteQc1pzu9RuFsPez3WkwYUT7Ms9iz4Po+DeDyuHMLslEDjZeEtvfLBCEv7JCUowSBWbRJ7lwFdM1m0fxoBlCy6UkzVlomzwRF8cG8gxU6c7Dhk3kciQ8uGW5w7I2g69lo9r50NNWPmCV0zB73Q3txqaTOjNTKcxjYIY+uOByo7EHZ0J5FG24OQZFLeGDNQCpwITlKdONPYkqkHFmxaAp+9/kRtsl+80D7eEDgsgoK7RwRUA/1cBf2JhiMbdGxk6MjiwcvaOrlfYDWlkhsJSI84gqzbYhhGVi4URNgEheLwrDdqdjCaSujtYBCq5LTRqdrNg6F9uD+04TSyvd5UfIoff33DtThGkfNPpgR5sbWrRTl/HDzByce7fQVw3DuCvRtHY/035FB+z0XKvK2V+4+z5PPVS5BIy3anO7FvXln7hOEjC0QfhAAJnZGP9weudFgpWW/igR43bYjia3+iAAxhPO4pZQ0Fq4OprpNny33LEJpM3h9nSIDLvdR04Hk7L3Emn/3O0eR4/xCMEPzxB9RpdzC1jUbFzq/WhTwRkPZHkY0YJV4p2he2V/Q+fP6TjKbKTHOkMJPPrxbv69HUyyVbb1R1bQTXN49GttaoPEBE5pqQoOd5KlBLzZI0sMEURUj4TkUbjCPthdEER5IqaHkanIuTnOiytg3JwKU1R68WNXYWy5M+PNJLf5lRPys7fRqwOO9PsMdeJGlZLPd+muss53cSdwvbNDpDU2b59TifTxpQPG55Q3vxFH7X0w5ssnN1lqDkkxBh7z0k0FhOCjMkctp+PLTqea/PzpU+w4UD2JOYVmqz1KyC3PvCxj2NACqORKvq0HSa2p2Dke10J3J2qr1DruxOVY7ZXqnJmRCIHKtWzhIR+zIOA4cGY00tGwlwnChOgTZe6vqjaGI7vZH1JzM736lLefP24UTzRr5+aVWZibQ8DsdSa0WhFXEuAptGxbUy7lHnL/h7cTjTOQ8l6zThujCEvTCyHuJXs8TePLeiqa+NpKBDlqEjGaqE86SkVAg8C7+VDK03cYVU7oEQjzksH84DCQ7JuWbJLq41FMSxcKCOrLix+b1bR3b3cGzTJLE0xrDEGktfr3EoZ3KWoFmFYGTlQmDrraq9vtF0ifZ4LsQVBJaWcOKxrmmjXZFxyEiZBFsBmhjjSCjNuEjZgyCvKz2R9QZozkz3Co7O0SC0D3eHVikGenZHo0gBwIVOzQ5HocoNID4KgPaH+hy7/bF9sIvhdgiMYXW/8/GhCJ4850wkj8Dh7bs9C6PUmvWitWm3XYtFLv14f2hJkui9uXdsT4Iw0AdautlESeDGl+tRkNosW39MwFzQ/UGL5Nu3juzyuk/l5Zl4AP2g0aRkdetgJLSIf6d9+Lu3j2ylVlY5EA4RAbY4S/3QkvXEznfWjh12Vv6BcP3RLmW51Nr1oq6Vs5MZUWXVqfNJQBjXWp8su/2gTpTnlhnzTNuGZ3NOKE3pxPIkQS8/j4MFKc1am58lDM4e+90bB2p9x/aQYCyXXh91nRU0PY0uj0XuFo+Ja8eG0OH1sFJuVvZ70gFzj1PeILGh8w3bVCt7JxwE9KfN98nu0WASHQe7dDqeJCj5uGt2QsBEQkSSl3VLLlINGLKJT5BsgKQhPjv6Pk8UjPzyL/+y/cN/+A/t7t279o1vfMP+2T/7Z/YTP/ETp/78P/2n/9T++T//53b9+nXb3Ny0P/En/oT90i/9ktVqTv58novDQoBAtN6bhtpMaZrYl7dX9TBP4kVkWfk0CoUk0K6KSNmoNdMQMhwwiAeGDIO93mo8IMENZL7MGZBw1TBUFl2vlowGk3Odil1caSjLHMexrdWqVq4E1hvPxG+BW3JpraZghEPG61MScMNbtv1+KM4HhqNTLdt6s2qVuz3r9WjRDKxdq1iUUI4Zq0wCNE1ghrJrrVRWaQPF0cPhRNn2uZWaf7Z5KShrkZQiqgW2Wqva7nDiehS9iYzSdrv2ACzPPbxziJy7z1zBE0GeBDRPU5w4rckz2+1P7OPdob1990hOYTCeadZJsVCw82t1Getr+yObxbFQn3a9IiSg26woK2hVce4MM/SgA00OArPX1h2NwHjiGL3kENo7d7vi0lxYrSkIwXxA9CXgQPGW98BZ8Vo8ozRO7fZRVddfDrx0xJ4opgXtgeuUxQom/ghOb68/1vcRTePzUcq7sFazipXs3Z2+7m9QdC0Pyn0dK3kwuE/AVLCD4VRBHYRmyMz7dNLg2IuBxPZ4jmu1sjRAuBZQiDu9kVCYr5xfk6jajaORxQxIbFQsdX20B7q6cC5owYD6EDRud+oK+ODbsDmuH46k+qq2ZALmIkhLW0EgZwgDzMqMJ/uCQBzn7wjP2K7vD3V/edYr7Yptdao6Iz/omPPTnChnZNGYgyBRWmMtEm/Z0+wVUBtQKZzSIQhW1T/Hwxz0o/BMTvqZrCyj8uy8pZoAmkSiEthx6fVRM/WzUI2n2eWRIQ3sB/YHnwarsJisPEzRmATgrIDitHv6KOUN9jKByOJwS76mEy5DSJ4G32eRGA0ayvsVC5EVi+VTBSUf5TOeFjDhIzgr3PDFMiLnCySZQCQLZu8NSIwfP5j9zAQj//bf/lv7+Z//efvVX/1V+32/7/cp0Pipn/ope+edd+zcuXOf+Pl/82/+jf31v/7X7V/+y39pf/AP/kF799137c/9uT+nA/eP//E/tue9MiP0xlbTDoZlcTWOBpFKNRiItTlM/iAvAmGyVIaiFEY2mc3EPWD4GAcSJ8dBq0YFBSrtigcKywI0i+RMDgglIl6P92tWHBInu+RgvXu3Z0nBrF2t2F2biAOCIyFwiZKZvb/Tl+AZm5VMexqllgapxVxjwDC6sg4lNfL3xuhbBHK2HAaIhhwacVXGE0HnTFolk4bESIAGkZagp1S5z+XIWiSBaXHSOMx6qWhJLTUreJCECicOiawBWP72wdi6k5kgaIIHyiRcs9pa62V7/97AUaMktu/c7Fp/NDUrlBSQHYynKhvABymkga4Jx3EwinSPCGRe32zpueL4VxuJ3TiYqMxwZa2lQ5llwJrtMpgKybgzmcnJE/SQ6RMIXl6rK9ChFEGgWSnO7Lu3e2pnJZu/MRdw++KFFTcG9Yq9ttawW0djGQueL6gKAQX3HWMBYtOfhpqeS+mLssF82K4CCAJYh1UTK5YCG425rpmcPfA3O6ZapgQSG8UwnsN6qywDSBAznkbWrJR1/0IIrHFq944wXnveQh0lQjs+2O0LTSEYTVfSY+5Jpo5L6a44COxubywUhLOKw2Hf89/ck53B1BrForVeXxfywl7IynXcn9QceeMz8tnUTSTp/7JKmzcPJ/ocBEZPY8z5aV1xrMyYQ7YEjQGf4ppVZpqN7NKcaC5tnrikMw6CyO/HcaAAjXuN0vJJDvpRnPxpXXgZyZxzUC8WjgPo3ji0crHyWFOUz5IRWNQiehpdHhkqSjDCd3yUQPk4WckCl5PmUGWKxmd1g/FzCOxhY7kHy3yUh5U3CPC4l5w9zbDiLC6oJWf3i4+V3R/WaUrQpwUNi6rIBNi8D1+L2xafHUg+yr4pnqDODaIJ6rv4DHk/IXqMDKlVPsEj/Cx01jx2MEIA8Rf+wl+wP//n/7y+Jij5tV/7NQUbBB3L67//9/9uf+gP/SH703/6T+vr119/3f7Un/pT9j/+x/+wF2Flh4/IFkLejkibXhIgE8SBQM5a5EUQAGBcVxslQe6SGJ/EIugVQoadkSUXZOS2Wp5dLkfeJ7XEErgUi2ZxiuFwEa79PlNWMdhVbUSuq10p2WwG3O3TYwkAcDJb5aoCobfv9KxRhVwYWJiajSmZrPln4FopLRE44Sh7o3AOlXu3yTSqWBi5Q+V1G6WCHYxC8UvgYJAt898Yy4y0+d69gTgbdNKQ0a3XKwp0eA+ChRYD7CpMz/WZKrw/nwkjBR+kH85sZqkCOjJ5DD8BntRFKyUbTBNF+m11OVWtHDj6QAkJMa5qgeDLpcrfu9u37ZWqFTGRSWDn2zXdc1RFMRhyLDIWBQVSZOPsgde3W1bYHQgdotxUK4OOBCofzCwRMjIIp5bOzNZaVauXSlJL7Y6nMnbv7vZ1b9gfhSKoS2KtCveT7h1XzOW9MBAgCBjYwRyBmAJdzxIRKsnGCcxAgnBKm82adZr+LEF/RiHONFBAwz7Rc6uW7HPnWiozwYNB0ZWW24PBRFyi8TRRqYj7v93G8Qbi6HibbV33W/L0C+q4F9fqdmvfuStIscA3Ae1SOaVZsZWqO5KDgSM2lG2KU7hQXq47327YNIrUiQUf89r83q7UIFwTeJc10gCOxEazZm0mCT9hILLo9GhdJ8jROS0XhEwtGnMW3DACYDg+oIcEJXwmjDyLEsKknNilTkMTlEFC2fsWVEV+XXTQj1LWOK0LL2tnJ/grDAKd4ZVGUa3vtFxvNeviQT3qPTlLRoBnnHXVPWmXx7JDxl7wegQaJEJ8/6Q5WCfNoco+00lO0gn3Q5Wp2KsEs5wTEo2zBmkuLs4kNpi9mSEjnLmsxfwkxeVleYWHlf8WuVf4D8YeULYlyFoki5+0Hod0Wj9FnXtZv0jnJ3CuV/Y5TwpmF/ktj3o/X7hgJAxD+63f+i37hV/4heN/w7D85E/+pP3mb/7mib8DGvKv//W/tv/5P/+nSjkffvih/fqv/7r9mT/zZ059n+l0qj/Z6vV69qwWDwEjhCPF6NzujgTlgyRgpDjAaEHgODK5a7pjpomTEtlw1PjJtCAoei10Zlc3GvbWuc58CmrlEyUZiH0YH42hnxsnNvl+MrXdw4lQA9ADsvUomdrl1YZ9fDAQGbFYLNrFFR8Fj3GkJMD1khWvNKg9H1qpUFRJZ7VWseuHExugrxCYSgwYEA1OG/qgtg/3BnYurCl4ILo+167b/jDyWnmcql1VyqCNirJlHCbXB3IC4kGmWSlQsggspGukAGKR2N58si4O8IvbDUXrBDigCtQ2pfUAf4Sgp1y0W1Ei50eg0ikU7YO7Q6EFICbcs+4ktu/c7mkGz1curqq0xjXEKVybkuT4yRD07EJHFBZl3ylXLWbP8GjeOxhSIBJxdYsR90GqctiV9ZoFSWAf7flgvEudmlWKJbvbH4tcC4DRCdzYEHSkBbPr+wM9r61OzaIosff2evaV86sqkb2x2bZxHNmdg4m4CwSToFO6HtCnsXfbjCKeb0F7EjSEz4MhxsD4GACCBYb9lURGvouTjYr25kbbWmsNOftv3ezah7tdfSZKYfxBap7XBeHA+K7Oy1iUunDK7OlMHZfFPb+80Twm41FeIfjld0GPuM4LnYZKfJQIIWzTIbVSLyooAkHiZzkPrSooVqzgj0xtrVmyMgTnKLHv3OrZ+U5oX7qwIgfxJPXt+23ssZ5XrViy9TYDI4s+v2itcSxMCAJzW8P9KMNFCp451zgTFlkyP0f5iz3P/iPo5P7vD4B8ggcc6mL30WlO/rQuPHU/qbMsEKcM5IKkg3InyQ7PHrtwwXxW0MPWWTICBDzYMpC71ze9JPc4XR6nITs8YxIX3gd7dW71k3OwHncOFfeUwJfXIanCDpOo8MwITh6Fs7OslkxADRLI63Lf+RzYMH5uWV5hMSg4KWhYbkXPgthZXBIa2ao4B+yskg/3Vu34aN7Mu8qGZ7RIn6TOvYy0834g2hkBGsQaRGnxGk7it2T7+XlzSx4rGNnb27M4jm17e/uBf+frt99++8TfARHh9/7wH/7DyvRms5n93M/9nP2Nv/E3Tn0f+CR/9+/+XfvU5KGnaGhUBcfj3DA8oHbqoJlDcJcbfjjJtDBwPEzfeBVmNcuJUtoRRDdHK1iZ/kO2idgIlILe3x3YWr1qu0UvOeAQiazpLOHniFghIfJ6vM/rWy05NWJ7HIRaU2OMqEf7GH110QyAdwvWktMqiHiIzHe9uuJlAsG/XuMFvUALRS2305lFClQaMnzfuLxqHx8MdZB5PQwNgc+NvaFFqH4WCioDfbQ/sI2aIy2gO6AivJbVSuJSkGFj2LF53AOM7Y2joZAfuCnwDlaaZTuaAKFCcKQMMbNZaLbZKR8TiikxEHyBPuGccToIt5GxH45iK9Zog+Y+e7A4mE6EHNw6GOtv7g/37b6xdtG0aqVoHTO7czRVpjqdpRoUxyC9tJjaRrmqLHp3GNpXLnTU9j0YJwqERqEjJrwnRhJon0ONMRoHMxtOIjkbSi4zygRWEDqCkwCFgw/EvdnrYeRTISAIjxFIgap9/nz7uKzEHthsVO1cq6bsn+6UtXrN6vWS7XXH4o3w3rVySUFWp8YgP7q1vAMHQuxq3YOztXrZktidHT8z7uM4ExHu4mSs4IN7pTLgPHDjORMIdccFPQvKfZ1GSVwcHLyCDEqG0vLw0hGGH5SlQQuwDOFMZ4FgFrSGc8X7iAg8DgXLPwlZM3MWoCtohuAIuHb2XBYY8Kwx5iANCkZwJIXAzjNnCt7PHFbn3GVGn+fUnYTqlsI+gEBxdhYdatbGvNyWviiYd1oXHqjqtb2hDymcE2cpD0rzaN4KDsKDvgtt1Q8LSJZRjUUZAa6Hswhfhj2b8WUepcvjLGSHn3tts6l7xdnK7styAHbWHKqTSiD8v4vleUBAorjdSaw116ZZDhhOKqFkaskkMiCuvB6oI6/F15A7HdlwwnmmJLwoenmSrspyKzrPSdyrldojow0S/uMczAOKaYQiduHMFumzUKuMGIw9BaHl37HXi9dwOr/lxZgd9cy7aX7jN37D/sE/+Af2K7/yK+KYvP/++/aX//Jftr/39/6e/e2//bdP/B2QF3gpi8jIlStXnsn1LYohsZEur9dEAtodjGWE2HBwFEorrjSJEBoHbkTmaBixgk3CuncbWEkOEa4ABzcTecpktQ9GE5E1QUQ4vBhrBNM4eT90cU31+gx5uNW9z6rnNUcTrqU612pwbRGui44cOkU+2pvabt8fJyJWZKndkW9aBRhVNmbBwjDRRiVw4Tq/dmlNHSa0JpOZYWQqQ1pgq/aaQdL0DIVgRNoChcCurNTFVKeNGQN9abOh7pKPMKxA3FGsjBPjTLQ/DuEipPNW5sQurDRUqrm5N1ZrLAb88mrduqO63Y5GMhjTaWwXmMGz2lTA9K0bB2oppSUTQun3bvXFgyDjy1piXeulZLsD+BMze/t2Vx0mlUJBAQZZ/6JsPsHnV88TdA1k9u4cQYilXk+wUFHXCWgXpQaC0lalIMImEDpTlH/39qGcyU6fAXolL01VSvb5Gk55ZuVyQU6bDBsDeP1wqCCVa8aQjGaRrRS9s6o3ndmllYZFBS/vqOtjofuGrJZ9oXJPqWC7g5mQDgIhNgN7Fs7O+U5D3Vavc2/qFds5GqnM9rXLaxpuR5bPvi5pkq6Ta7NWW/5mf6hVmDajBYK3Z+pFzUXic4BCkRmWy0U5dvY4iAiBCIjNre7IbuzDUYjt9fWWULqVakUoI84VNG8lYNhj47h8dVp9+yyS3zJXhACJEheco2Rmn8j+eU7wZShR+vvGn4DVM6NPSY/yK9+HiI1mz7JDXWxjztrSM3RguQtvUfkXewAayytxXshm+RmCegLicUxC5AE095WOtTcqD+oeLa9FDkTWHXd/kKdyJnWvLc9celQbeRKykwkVZjo1i1ozj8I9OQlx0ZiCTk08GjJ9vkeghnNdRp8e1uUkLof514uBEeXFTAeHM49NxvZSZszKe9j6k9AmnlnWip6JvnEtp7XRLu9fvubM8/MkGTcOx0J7v7mx/sB4i5Oez0mo1WKQkbX7EyBxv056jk/Cb3nhghE6YSgR7OzsPPDvfH3+/PkTf4eAg5LMz/7sz+rrr3/96zYcDu0v/sW/aH/zb/5NlXmWV7Va1Z9PYz242Zh+WhUtfBo7t+G19Ya37c6FpgguEERDh4RNwM+gBYCBI9rMyi5AYI0E4qUbGtr26qWyNWoIRDnxEudCdoazAmUQO30uTsYmI9CgrPKFddpVZwoYxMGABMj01qkLrjWqZZFd2YwgFjhgHCjBhwws9RkZzli13a9cWlH2KwcH56EcKNuG9EhH0dFhpOzg9fW2jCu6IDJ0QSDBNTZ7mMQ2CVNB9fAH9sdTXT8GavdgJDQAw/DOvb5tQ8DcbCoYoP2V/wZ6rdGF1KgIHQAZeWOzKWImWQfIAY6Xn6Nss7pf0QGjBZtOm1lKxw3k2KLKU/wsAQ0+lMCN+waC06mU5Sz4PD4d98FOJrUiH41sMPY5L7R8cu/grFBK8/ebqoOFvQoZln3A8ySzORrOrFV3kuRmG02RmYIyalAgF5QmPkRQ72gi53Z+paE24HI5EDpg9VQB5s2jse0PDzVYjs9C8MNeY99RO6fIwWsRtKwXIbAVFXzwN9cmw5bwM4kQNNqht2sFS1fYnw0FJ9zXyqQgRE7tx/MBeSBJlJV2e3AVAru6ysA9O+5GIdiAc0NZpZ8mCmL5OYI5Mjl+lm4ggmaC8PePRlYJCkJjbu1PxL26sFIzQAgMIH/Y3+ilsOeiaXJqffsskt8nUQfKfW7gcTAndeYosF6pW9AP9Htc/Emw+rHRF1rCbKj7bcc4eYJ5HyA4OREdOAlNWFT+zVRqeTY4Qc4ZX4OuEvyRtMBjyZAmcpbHJ0MWTsykHxeOPymwANnhSS0HG9m9yTSVzupUOYs3QaLhiEFsmy2cp/M8WFL/nWsFwRl7XOl1XodgBxuKjcWGY88hsbu+jJf3FtWjs8/B+/KseA3s7c2DsThhpyEaJz0Xb4eO5Bv4RGgyrdWrGiipPfAQrZNl8i4/qwaBCJ5ZIISdktHyayzyIx+H3/JCBiOVSsV+9Ed/1P7zf/7P9sf/+B/XvwGr8/Vf+kt/6cTfGY1ocVxiYoMLYQgz6dHnuJY3m6Dcbc+eifoF106j426BoxHQWqI2TOeYjOWU6KrAQLO5MTqUb+AIzGbcI+dGHFpopYFzS1CuvLjWtNE0tBJzPMwzSyJ0RfBF6vMzGUxge4IRnLKT82Y2KWBEIYFGVuP3y/frisNpaN+91ddrgVxw9wlkuK7PbbVE/AR9uLLRUHcBTpJMn6wdoiTXCzflqD6xc526pMw5+DxGjLwQGVpEmS7rTUH6PAqQgP7KXgY6Gk9VDqhXy8pyMCwEPWr7BCYHRpZgVlH8EX4nShMFLPw33wO2xyHy+X/n+oGIl9Nopvfi2ikT8Fp0ZVCbvtebKgghwyfr5pq5h2ojpEVY+idkV06W5FrQ4JjQytpuyJmHaaKf5/uZ+BRBClklZapvXz+yb10/ktPAn3HPCcjksKJYpZk3N1rK9v/7B/fEMyCfVgdPbyK9jsLMZ6MQHB2NZxYmdM6YbbeLul5QM+m9TOlwCr08NPXuHpwt6ArZNSUSOCdrON8KWh6hPhPdVRBSNxs1+/x2Ww5ycbI0K9vzGCRKRuwDrocgNtNhYWkvRrFd2ajb3aOCOr1AoiDXUtOni4IF+uQ19ZHBGikGBVtvezv4uVbVNhqesXOm4GXxxLkfWUfWcn17scNnkfuDszmJgJh9ltc3Wp+Yj3RadrkMqy/Pz2FvkVhkXBGCHSGec9I3P9equ2PkGrM5Nw8fvuiOgedJtAN/QR0paHSkfl4zpAnnmM08Ommd5dSfhjrsaeWBxT2kDhmJBY4fcLxnvfdips4t4+/s/nHdcKay383UkimRZLO4+JxnjTtYfN/l62fadEZC1cyouXDgogRD5syX7yHXQpn4+7e76l4hCaI0HTwCcZmvuRb21Gi+XyH2Ho6mFietE7k8pyGD2b/zcbPXc7KuUwgyAbSTnuPj8Fte2DIN5ZM/+2f/rP3Yj/2YCKm09oJ0ZN01P/MzP2OXLl0S74P10z/90+rA+eEf/uHjMg1oCf+eBSXPe7Ep5fCo/40h9jjTnmCp07AH2gFxtkSh9XJZRoPfgQTIF1+5uGbNth+Ma6hhHhLcFNUxAmJQLRatXi2IL0FkSj19rdESzIcTxtCVCzjNROqttM0B/eM8V+Ylmizz4LDAGbm7Nzk2pgQe8CgGk0CcAxzFtb2R9cNQTuvNzbZQCWDy7ABf3SwIcuXz0eraKBFkhSqzwIFwhMZse9WVVwnARPbaaslZMpX1Hln/EQJfOPHQDoe0n/FZCnOEoWDjGWx7Ompm1hvOrFIhgg/s9Y2GPiNGRYPLWlVB/9TNk8OhJPkz/s7nN9t2dzBVNxHCbqBK7CG0IHCgCKDhhN5Yadl3w67KEwQaOBVIrsHNwL5zq6saKeS2L13oOCm0URbfAG6JhgIyQC4I7I3Nlh1NwnnnEgFNKNj4e2iSjBFuq1gQzOxoMFVZDM2XL55r2aYIrgWLDTVcOgxci4RuGHVmRbGdozQ2ihQAEMy0qrRdJ0KE0IjBuF3bH9gt2muL6JMgUAZ/IbLzqzXdXzI6SnmqqU9CcU94bhBXQaz6qN3SIhzOrJOUhW4swvOLBpYSAwgOz479BGmZMwFcnRG8JR5VCuytrTWVQeigWeRJ8NrsTxA4gjk+605/ZMXURIQehK7LA/zN/uPZggxktfpFYiPninuz2OGTyc6z/wnoT0MdHsWontQaer/7w+vvmVBfRr7kawiRmUIrATHI4r2+c28I1BenE59VpjhWMk3GEgvDfRLUcS8Jwq9utFQqXpSlP4sMeRaJ9mFtsI+yTgtqFoM6ApGTAqJMYXh5+ViCVATSjDcD6TxzoovXzd7gfjtq6vfpNPE09tjdISVXP8eZ0u5J15/NduIaufZlCYaT9osGa5Jw1kriEhFsLwrknUVczp4LXB74GvgYTY+eEfz7z540cd0FGp2vlAXmWeuzWqtLJFdeBuf+EGScxM85KxB/3uuxg5E/+Sf/pO3u7tov/uIvSvTsm9/8pv2H//AfjkmtCJstIiF/62/9Ld1E/r5165ZtbW0pEPn7f//v24uwslkUlDsWlUJxGDjJDLxhw5BNEyRg9Pm+NBRSOhNKdrsLlH6ojJgMj02D09/tToSc9EYz216t2UqlYp+/4MPthHTMYttsNuyrl1bV8gkSSSDEBhRptOYZ/0TS3EhpA8f72HhJDzd89geHs9Io6DXhm2x1IMJ5XTydOuudTP6qNR/QXeB3CVo4sCBAXC+aFWxqNqhq2eiwnGvODxSohh8SCGJs+m4JPZKKVUoukR4EQJCux8E1Ihlu5kqAdPkcTqb24+c31IYMGfU8+hLlkr290z2Wzd9oVRSkcVh4DpRYjsJQyAjtyJSlcPogE+iodBpFOXEcKIblC+fb9pvv7tqIA5ckglPfuTNQsLPRQjnV1U8/v90RqfZ8u263Dod2JC2N1LY7oCruMAhGydgwCIAFrprqyEq1VLYDOaGy/fCVNZWc0EPZG8DlSWxrTg7G2VA+Ermy462sGdIBUkXANYtdLVRdJdWiteoVC7oTlVRUxkDJt9W2r1xYEWqXQcwMAiSw4b7Q1NdE6Va6KyYiJGUASjh0C5wk0sV/v7/bEzqHOaaEx7qy1tT1sFcxupq43IXvMRASBWcFzgXllcyAcvRBPW4eDvXcQKg4NwQvkOsy+JuVZXVZMLqsmsr7LXf4cP8ejjo8/lrMYgnwFoX6OHPsRU3RXlBoZa9TTikWGDoJmuTo3qO2yPI5yf4hkHPPxcFZKKXwvo+CaJw1JToL9J7GWia1ZtfGeXuUrqKTVkZUXeTNEGgvlzyEYGBr5/YhK2csi6cdq1vPR16Q0PGHMvqTEENPWkJeAlr8K0qw+HkSuPXmgwMXT+PNcL8yGYdsZlSZkR9LwXS2J+G2ZKMZ8ClfubCq4alZ67Omb5up9ISNALX0JoUnk6D/TBFYKcmcVpaBsPrAG5RK9nf+zt/RnxdtLc6iwLlj9IguG5ELS7GhqR/Ak8jq6xBBUenEKFM+ubxSl6H3GTUF1e2yjOCNjbYOAhsSCD+cK6leWWnYcBaJvEomng0QwzixSeO0ZJ1ZWVF/tnm5ANrTssNCNwcb84vnO8dGB+fO75NB3NhHPAyRsZHNArNzrboyFwIIYGx4EouQJ+/NJv+tcE/ZOYviEYEHbZtk1zgHHHOSJn6vgoIMN86dz21pRV0oGCUcFHocRP6uGTDUXBTuE04dWBEkh0CV48v7UyaCWIajloqqugCcXEVdNUjppS9ad+gDBjFg3EN+ZotgirJHULCNjhtinAZIAWqnAvJxzlPEl2KrRahHTuyNrZYMz/XaUJ0oiHU1K956SumJ8spWGySiLIdNYHh5rWVRPBDKA2/iyxfa9kNXNvQMGWZIq7f4MzKydAFV9Hkl7MbMokZVhgj4nb3CHBx+mvx4OEHbJLSrG217b9T3MkRasDdW67oGgksCkQyNcAl/n4kD4ReOy014JhJ2S6zTIJBFNn5m33jNJaQXsyqQIz43pTHmBWFnIbJiqjBoPAf2L6UnODRkgJCD+Tycj9c3vASUrSyQ5HerJQ/iCFxW6t4FhdPKlHvRisGIg/pkE3wXVVN5/h58jBUMYOyzYGWZVIjzPc34PgkRdnF+Ds5Cr69s+L5CK3o77H8QtOz1sjLDSfD+aS2yONiTBMAe1WksO9NsSjTP61Gl6x9nUvFpuhuPK61+Gm9m0YZm13KaY18WT1ss/VASziapZ6+5qDi8+Dm5P1lb90lzbBbXskBeNmML8vgyP+mkIIfXvl8u8eno505Rw8VWenfnfTIzyQCE6SKdg/ANzYU4tb+mLjkB0gqymHXEPY3n/qzXKzubZnkWhWe9ZIVE1a7eh1NERpsFLIdBZKP+6NVNbdrv3e6Ky4BRhzNABoixhyuAwaV7BjU8VFTJilEelSR4s2TtpCxSYgY5ZoePTemtbKG3u4YoZjJnpWC//40tW2vdj76PaLOcazMsznRhT8E5AOHgc9AuCqGzUy3ZQX+qbGwR8swgcScZ1m23PrV9smzk7mMMal28FNoCCV4wvpmqJps9SYeC5ClhZW3N/E1wBqeEmTN3j6Yqc2yVauIHcGAIKPg5CJ+pDaxZLspJoWPRqBakJcI9BRW5czBVQEJ3yltbbWl/EJyR/YMetRsl3d/dQdfeSDpCkniudNbQ/aIZNIFrFFBiIZgjK2HxN/cd9CKQJHhZz48W41rBO5cgzwLDE1B87hwE3Mh2exA7m2qDZkovGRmttMzHIUMjoP3era5eG1SiKZIphFXagme23q5KshknTQfNxZXWMWeG8pCLMLnw2ke7I7uwWtXr4vCyLFBqsvO2Vp458v8EH4UCQniRVcPYOqBFlL7mAlCZoBRBNOWOWqGgr0HAyPavH1AaMknMUw/nvTQ8sT9Wp0q7QXdJXT87nkXWjIsPOA8NgxyG4u9wPsKej0hgEUwyhJHPTaDKHj0f+wyPjDPAPVpU7eT5rtUDkRozJ5EZc94n00vItHpOMr4PU7tcJrKD1HGOCb7Z55StxMkq33dABNMItmWdYqfB+xl/IU6c8Hoa4fIk1OFRHUQW+GCXMqXV2kPEtB713izbzdM+w+NKq2f3fJk346TKB7s7HoZe3A/a/DWzeTmuWuyvSWCNAFwmVJZ9Tsk7TCJx4TiL/PxZTpz31DmMQePKIp9m5ZPTnsvy83wULk+JfcR8sgGoS/UBMjP2j13mpRaUFJxYCyKJH0MHCISd31mePr/Mi3pW85Yed72ywcjyLAo2oARoAldZpX672M6HsYdkBDqQDbv7+mXgsom6O/g9skwGg7FJIWzCoaCuXotStcpijxE3AmnBCeCsTyNuYej+r/d2ZfApI+AkP9rv20pjXYqgy2z1TC/ld64d+O/Uq+rM+EhiVQjWxVZpeDsmAUwGeeJg4RvQwsh1M4cGngMGmM/FHr46aUq0C7IWGXLWDYAjALrmNRSEFANb7ZTsC+fa0muhvZO8BAPeqqIhglGHN8GEW5jfZt+71dNrcKLoCkId881zLX0vI5f5NaIYamohvtCp64BBoEXESRya+f2jbLA3GNl2p+niY7PEbhfgZRSEHoCMbLerdmWzodJbpv8C94VgC+SjEDiCALK00QiOs3YONCUVjjX3DmPCHsAYcO/5mhIPgBpdU8kkVSuyFBOLgVAyEAp0ZoiOEJ+7vIaD9SF5cEFuH0zsi9stG049w0NUjA4vkBruD3sFo0OQlu1hPttOL9Te5A/BHhdFN0V5XsrDWKrTKPSWcj5DfwL3YjIXJytIg4ZujnIAt4eWw6GQO0oRt7tD/Q7BVn2WaGDj5dXmsTjXYmug6vmDqQJCAilNoEZ8bLWh+9cdelYHisb5+PbNIxlYSlycO5zCSaqdi9lqlsniXBD1Wia4PmrXxiIKsUxkR0V2MWHgdQgaObcER7w/v3dWKSYz+Fmyw3lH1fW0UsbjBAbLKytTcbYftVzyuOPnz+JBPC5Z9izezEmoyqO8/mmvmXU4+l65/zmx4/z90W5fNouyJ0jrSU48W7IX4nGksvmLgchJgeRpCNfDkK8Qm5Z6UM61kRhgd0BDuEYSCAylBj/OUSXma7neUskms9B2jsbH0+ezoAu7zZlc5EU9StD6rNcrG4ycBLVVS4F1aj70CzgaJzcM3TFLDnquUwC5EkIfGxekA6VVvmZ2CQ6dKHVadvIUDoCaJg9fgW4a2LWDob23039gOiudLcsZFUbw/BotaCWRVSEZfrw3OIZEye4JWijPkPXyh4gZlAItDof+zT46GEnlFCf4pYve1ovBWhR1Eqs7MTkj564AO9aFpuDQCRjY0BwQrm1R3ZEMjJISHBQIj3TA8HP/7++F4gMwhwWUIgg4pF5fTuLUfu/Goe0NQm8TZArtxGfhcP2u34J8vQ8FxDAoE5/6oDrek4wKWXpaR7lGSjKUPsIIRws3oW5futQRcvDuTtcaldTOWWpfv7JpX73QUXcMi0NJuaXb8NbjaFZUIIdDJfgR8lCFrIaSbir+iZwKs4TI7uYBK5/h0qrzLEDR2Ddk88CqzBJiX8HDCOb7SWU6unnmhjdiP9SKdr7dtFE9krQ99waxMa5Bw9SmZQU8QMLsA96T30VMnmCR54iCLj+TMrE4NQVElNqyejSmhtcjKOnPrxMRSfaE5lqkoRDD7SYI1lR7ijIY05LvdUN195QDgtKpyn5Za6BKRoOp/d71Q+1xL8skQntGM7MVKQ+DcAUGvQ4eFfsDQjg/W9NAQN8Pp6l2Lhr7TEsD53KW4z3LgS52XSxC9dwjOuVKAYPyHPnQlO0VN/rZWeV3l6H/ZSIsRG5KYHxe9nKatm2j4w5gWSDtcQKDbC3ek4fpeyw7y4eRX0+ym6e9/pMgOtxXuBKUIEAuFnkzJ2XzGUflrJUldItcnGUBuGz6rXhAIbocXobm8yAjv+jEHyZVz2b53Ln2Ax1ejxJIPmy68r3+RPfn61dWZXPEC5x3LYnbhOL1zPcfdsbxREqF3jVI4MGrSh/KAtkPbCU7geBleYDpo3B8nuV6ZYORLIJm8YArBVAB76IhG0T46vduMja9JIMOZI3hxbD4sDyX8uUAvXfUUycHRE0cx1GC4EzFyZTlgkotBA0yLj3mvjC1FZSF63DhmcuJO8bMAPG6QOP9SSBnjpEnICErxpgznv43D/fmjLlUaAMlDKTbIFB2h5HqiECfDZT9KjhN724R8xtOA3LsA1dYpa6vsgm17pJZXGbYHLVYJ5nSWbPdoVxVtH4804bmcPM61KYFCzMoMJgL+pRLyt5TZs3EsWeRfL5oJsLqSoPMG+fq3BGIpYhpcW+UEcznXPCcMBI4cDqFDsxbHt/bGSgjb1bL4liAYlA+IlNBswWnCiKEvyFofCNq263eSC3LH97r2blOVYS2TJYZHsbnz3XUweLlhVjoAtczjjyzRbkUlACOBiUYfpYfghsD+iESKh0mMhbOObp+gA6F82f4TFznWsPRqbv9qaNTSaLgQp00qDoy02WcSLmUtm+X5o9tJ4ztre2OXd8f28d7Q70PfA+urVWqWrOU2OZWVUEi7/nNy6tCYLI2V4JXDDklh/fv9W23N1KXCzo5hK3wjDBiKpMUAk1g5lnxWdICrdg4HJ/VBCrCs8GIX5iPVKDU9/3bR5pVJFVStFt0f+HdQPZL7WAyto1Gzbo9WpQJBlzxFiVdkCyQoOx6F1U7F7O6TIabrPZRuCOnOdDFrotM1tvLcR5E3TxgbAFEZ75XUikuC+hOQjDQ1lkmwjKdehyG6hLJdENA+WrVT04oftzAYNFeLF7HWSqdPyjX47RyyeM64pOuHUFCnn3W5ZGRb58ELeL3Frk4ywJwctCB2xbpiUjkz9FglZjnZbflYOQkqXq+Zg8TSD9KIHnSXj639JmW94KtmwISEGC4a+zV18+1XKoAvuI8WOdsf/d2V+dOonSVksp2nDR4Ofid1IelHw8wxSdgux7G8XnW65UNRlhZJuROf3g8RwEnTnuiBithlPtTkVXhPPA9kTolTGX2/k7Pvn/HNT0QjqKUsy2y6NCGId05dB0wfA3igm98nC4Oj2wV8iqzKDR/JPRMUezpGQqbgb2705PTX20UrVaqqL8dA46c/HgS2xcvdoS+UMIBCcHAoi6JoecaGT9P++zukIFu1P5nIoliGDlMfHZKBMiJNys4K7PyXDcEh1zBuJe8JkkGMQkjtcKyafm993ZHdou5EQylW6tLiphg4YN+X+8DkY4OIiJ2HLK6bIJUCAc8GPJppM1pwyXY6ljFbuwjDla3rXUXmdP77HCPZzZQVxLwOCWuVAJxcAoghtDlwrWhmQLCQFcH9/SDuwO7fjT0mSmp2fWjsQUf7umwg2rRmrzTn9p4Ell3GimoOr/SErpw68i7SQiiGOxGqynoB0EmnT0EK1+40FHQSoCIgT6chHZ1vW3tetE+3hup20LD6WhXVmBV0Z6iDPh5lWRgys/UTQOKgn4MQm6f3+rIITI9mOuDMDu6MdP7I6VPdnN+xTuoAoNQil4BXBOzNzc7KvuwMsMH4ZmACOIozxI5ey8VkvkHttZw50QQ4aU/t1qNsmdi//OjA+3zr15YEQ8qib2Uwn1l36HuepOAb0pQ4G0Sh+OZNUHaotQQ5Gb/WcIcmcQC9hCaPelM91XtvfMgYVZKjoMLfmZ/OD6eEq1WyDnMnHVPYGRBDrkXy8S9rMZPFsy9JghY7Lrg53gv0E1q83zNfQe9ci0KSrORXWbzPATB+IR2RjmwnW5kmx0PRDSkcj7yHUe5TP49qysmc4asDB047TpOUumEtJwJMy7z1B6H67FcLmFlAygfFdE56R7ef54PDhBdfE6P+tqLnz0L5JY/Z/ba2BeQmesHXe+gq5aOZzJlYyMW32tRqj7roOI9F2fNnIY0ZFL6i3tZ4mmHI6E5i2MGFrseaZiQwnS1KJK6EI2CIz2LM22wvx/uDYUyc13DKLZ37nZtGCbyNyQf2C24g1+9DCfPp4eLeN50XtTzWq90MMKDxtl/79aRiHScKyTXKRWQoaEICkKCc8LBMRyPSaaX5gTQ93e79q2bR1JSxRl7hJrazhDHTrRdknogHRQYNpz8/tChQNAJGgVu7A1sv+bQNcHPohQ0MCNza5jZQkRwMGRaLhySopyyOAJk/s2K0AmCB153AHEJTpgQHT8kkrAPQHequhaCD0JkSJ9k3e/ujOWQfuKNcyKKbrQDIS0og0YTnCUQKmPgE7uy2VRQRsmoN4ptb+TZhEbbp3RQ+aRfDQ8c0r45tYuVuotnxanIrKAXOEO6Ffq7LvwGUkGJCGdI+UiKn5NQs2DgFtzYo5uDCatVtbbhVJn+SiBHpuCjwEGJkOR3g8rRujfwnyX4wjlSIiI4BAn7Xx/viXfyvZuHdqM7kYKt5PTnLH8UVyXTXXEdgjBMxa2olqoi7F7sVIXqvH23p3IcpuTawcg+3B0oGILEPJrEUlf88N7AmiVKHRgWgstI18DrospL0MpnLjJoMAnUEYMT5F5OgV2nid2LhkKhKCPBv1BHR7GgtkjKFYg2Ab9+uNs/bg9V50rkPJj37/Ts2iEDCGm9jq1cgiBMCZD3TKxdKtmXL3R8P81i22Be0ziSrguGEHSoN5nab763K8PNDd4HXSOY4Zoi0/1Q4FdigjMKrYF4Tkj873R5T5/NwS9/+eKKdHDe2+0qgPnCdscF84ahAmX0fO4cHXpXTeACdtKjaTuRlzNLAIPWD7yUdm1qnWHlgZp/5ugWRzNkPJf7M0cIrl2hV/9T+csF7/gbhxHPeUysxc6bxXkmKrfNEvt43/k2k6k7KBBInefAg0PeD/7SYkZ8VlcMe1BdaGPX+eG6cDynISnuQO87QVq/P9wf+ByhiNlKyKA7Ksj7LpeaTiohnObkl9t6mXNEcAjimantLq+TUKCsbMKDXpyBw3WdNKn2JLRoEUUhfgMNhDOlbr0TOCcZ54fELetsQkiRn5VuCvZkrv2RBSaZVD12lqCOxCkrUWYaNJSL4Rkui5dlsu0kmiDT4m+pSzJR8kOisaz8mk2bzuQlsk4vRCWZOs0CrSQQZ5+PJpF8AZ2f2FKQTbh0IPfnWjUFHwfhzNYOR/Yjr23IFvM/6bbMhSCfx3plgxE2BtHod291FWlSG//oaGJr5ZJdXPe68c5RSXLVdE6wKYWWlMsiP/JA37nTF4LQquEYHL4DpaCWlzAxtmriUODA5RDHiSVBLESDhiyMEeUdImIOAfDZ4RhDlCizZ8PzbzhOdR4wZK8f2nhWsWEUqaSCYQtn3tpFx8bBIFKJxv+NjeW/S7DUavhMFDpMiklg5SpMchy+i7MdTiIRE1Hs7A1jG6Yza5QKdq07lMNBMh2nn82AgSwFEjSepTK2e10IrWNll5RpOIwob+JMQW3c+JTs2uHAhqPYbvdGGt4G74MDyRHgPuNIuJ+zpCsy8e1DV+HEocdp0W51J5oTI42RkmeY5CrwPvg3skmCLdqXMQ5j+CTRzOCNgnBQyuHggyD81vUDHXZKIbgWDMVH9wYSMgtna2pvBrFxddeJHPTNo4lKGOWgZF+9UFHnC+9HkLHRdjj+w92hINXNJm29U+sezFxQb07ALaSJ3TgYyIFW0UxpVexS4EMK93sT69KRNfYpvkzMxfjIOQVmu92p9hS6KCBEK42a1auBjaYVi20qlOaj3YFKDqAvTKdlP4Ec8Fo4NZw7r/fdm4dy+JUKmVFZPwN6wJ6hUwQj/e69od0djO3N9ZaQKFRTJ1GoFne+j5jZzh5dJ6izzju7CgUrlAM7t4KkOrypqV3fGyjYRtW3XS3avVFoH+31FVy2y0j6VySTr6mq2gd0BYztvbsD3VNk7tFfcfJtpPfgWf3WtX37vds9WxNfpqoSC5Y+m06dZeCo1maBCc53WSIcrgBBUqniCpygTOIphbRuuhoz388UkgkkM/2HbJ5JZMw4maitFAeI85fiLuRCRPhUmvGy3nKW7+VJnx2Fc8i6Yij33Lw3kH1hf/GavAeBWRZsLZZYpKA8iY5bVEF9vnvrSJ1BJExI9/OMOZu8x2KpgFLTcus3z4fryTgdy2WFxSx+Ogvtd68fKRglIP/C+Y7sybKDOwkFysomJINZ4AEBmpV1Vp1VRlpEW7Df37/dk83mWpnBBVK4TBrNAhSCW+wIyB97BmQsU2bFJiw+J/gZfI8ElsiQ4JOAkd8nyPBSJ7o+91u+l+egSQ166gP82HcbGlL54MC6xQ4pgg2NtaD1GOJ3aT6+IQgUpPA9BPkIQDY7DNOkscJbuxuVsuw754gMleukc5Ik7nduHIjwjiAi9+15klhf2WCEjcHh2h9NVdfd6U3t3tHY+prZwcC8hlUxmPtjqalWmXESokER229fPxQhdK+PQTRl2siJA40VioF0FsheCHDeudOVE8N4UN8nSp/MfLoiznAMCUq6HaFttFoa6nZnNLFbRzNtWJAaNhKTa3EiBbWjpnLuKueEM1up1ezKWlutsdemtHrOZDQwXOuNsobNIZFOxgEfAXSCkffhJLT9UXQM1ePgENDi+8o8GD8PL2BED7t3WIDSVPdHakudxDOJvalkEzKhFoJrQe2fOBZe7yiM1BbNfSHQQBzsxqHZ79w8VGaAeir9v0nIcLWxXUgRk/JWZqJ5DjWljqCIYq23YCNjPJqavbHRsssrjTlq4wiQUKdwdlzLJZMU9ElAFmNQvcaKwSYAwQBUSiVlUQwlIpCR2up0pgMNl4PPgpH0FkQ6r8h0Z1Yqx/b+3b5d3WoqgLzbm845C5S1UosjSKJMwfXyGy3PlH0IdBA0w6gUgkjZ8p1ayd6927MqreEwcFN4GEUZDLL+3miqjIvX4P7iBCmdIfbGUL7pILVb4VhlqmhWkRO7tjdQdoeyJeJuKMyKk1H0oYAf7M4REng5ETV1N/RrTaaPmrUpKUkIzTOra4cjBRsY2y2hWIxKgJTqhpu9Kn4RwW7AzKCCjcux2uW55/VKWUHMdOZlHJRupchKjZ7gKPZhYwSH3C8RLENHX0CdCDb5d5worea8F5+PIBpDBvmargMCAT4Wn/X8KegBznV55shbWx3xOXjOlQVuTT+M7QoIyVy07XKloYz7+j7BlevIZJoxErAzsze3fBwAqBJRNoGB2vVHkQS4Fq+FfcvnI7DCqeCc0CjitQmuuUfMPILPoESAicwgMMzGarvoF/fMNXsCDZWUWm65oM9EgsB94jNSVoM4LS0XpqjPORNZYESQttj6zfwgFnaAgBxdnmWnlWXxJHe0spN80LHGXcZBElwsO+aTuCdZ2SQLUAj2sHEEbsPx7IHOqrPQFr6H8jT3BYQN5JMJ5P/nD10WWXZ5if9Ba/1qQ9fDc+OZcL6k4bM06wV7wvNeaXhQcYOkZzqzb15ZVyLG76r9fi4dkC2hMYHbbSUdg6nKlUK52jUlZIsllwyJYu+wx7iX2XNF34dkI+tuxObxvc22T8KehszcGtugHyqAJ4nEPmMntztVV7Xm+cvWpw+gjc+LxPrKBiNZZI4g1o0DRKImQkBSCEsBdXXq5kVxLugciIEz5aggfU5tJ4mVNfdCDkAsNKIGyW29oZkdHEQ4CBANOfBofVC2wKnh/O70pgaAzUYBzSCTxgCCfhB8iLiZuBF6rVkXMZSoN44xtpFUbhG0+qHLK9I9ITL/3ZsHIhiyGb3OjGhOYj2m65aL9vHhSNBphiAwDTZJXbyKcgf8BwwRG7I4N3rRXFgrRSl1taaAa2cw1h9k3XF0UcHbWaX6ibJsoywEIil59kjkDfE3401QUoC/gOM+HCVWKdMV5CJh1w7JuueEqpLJuEt7YmY2ntLRRImiZLVqUdwEtF74zF86v6ZDTgeED7Aa6bMwnBCZdtRCh5PQvn6pY5fW2jaJIsmr4zQoq1CC3xtQT4ewnIjH0yhXdEjfaFaFNNGKWi74AL6VZtlaJef/3BmMlBnj5EFNIADjQQu12IozHHaoGU6HBHWBGRUKrr0XI1dftLUmYkYEsmYB3Udqp53Z9f1YDNzD/thCmPMjD2JB47jHaJzgnHjOOHP4GBj2fsBU3oL1okiaIEHisy9a89EEzLDAacPpqVURSqIdl33pGT+oEygCTlATigOy44pKDvuhTyPebJTt+3f7dmt/aCOQo0bFxdLikvYV03pLRVcHJuAliGevsz/4/Ow/KbYSZFZ8JgtkZIwq18BiH2AYaYXH8PJzfAY6wjDmTEzm80NWDlvecr83mqrcCdk8m46aSYZnisPH03kXhiYez6JJnPQMYhelse6DkIGEac5T6d+AcEhdVl1EPoIB1I4snqCW++BIXtH6ByOVPwmc2N+8x3v3eva1y6vH7cI390f27VtH6ga7iiZRGNvv3NhXAAg6we2gTKYgqUywFosAC6E2mx5LeYN9z/RwEhp4VVznd28f6vPQSk3Qx7ME6cFpZqWLxcBosfUbXhHoENeOTSsQXBEMrnjL/GI3UjZSg2d4uVTQM8HZgfwRgGUOdnGdVTbBKWuq7rz1FIe73Fl1mk2X9syUsRShAllatLE32ApKZdkgw9O0P7gH/C4oaF28ugdnvfB79zl+Myk8wwHjuVJ29I6cT84SWpzwDAJD6Z+Al6BzMI20pxZLLhmZWkhhnOiZZYqtlMTZ51l3o6QHAv8eZwKbBipEGRwVZnJRyqh0tlWKJRsn/m+8DvuE1n6CHHzM8yKxvrLBSFYnVdmix+YPLYljiyPv3x7zEKczjUMvHrPiyRADK9J6GpAhl+SYKFdw4ulokUFnIisZeLWowICMlnIMxFIEnzBObOAaB63GhFVKRkPVHonGIblRc8UoYbyByGvFghy6YLm1hq4LpwA0zgbF+NJqmmy6vDZZGMJlZBPA4nQDQcA8Gpu9ud7WxiVS/toF2pIZPx/a7e5I3TK7w1AbE96EVXzg3WzOTcEJTroQFxnuFitjwmkgcA8vozjgPqaSap8GEFQdUfnena4G1zXKgX24h8AZNWCzg1Fie4OBvbnVtib6C0Wzd+8M7XDgHUkaX4T0cqOsbLg7iWyjU7bPbXTs7btH9vadkcpkcXIkCXhQkjvdqWebBD42tShBYKw2Rxsq1q5itMi2gFw9u9vrjWV4GWw4CcyqNUTCcGRooRzaly6sKMPj/o0JHCiXxK7VMhnGNijS758qWKArIBvgFsaUzDAe/PEsh8CLLGaYsmfKCqwow2Dwed5kXQfDxA7HY30eog9eG6n3AFn4qneZQLhET4CWaQlwtSrirEAAJLBEfwSDSqlPDrFeFnoRFCKXeS/hSpygKUZ9TAnJs1hKbGolnniANpqUrFMrSreESAJxNdA8LGowS+2gP7G30fygZFQGAZkJURvRqUQQDTyMsu1qQQgGxhyDy5794oXOscIw+wKHBl+GoJUzyN5/a7MlAnTW6YBjyEYiYPhBq2qzggVT2p4ZL4AI33z2x1pDDnZRcTgTC8xEyeiqyUo5BIZA3CBdlGcUoASpfX+ndzwosjMX2gNpo8y7kpR1PbzfZMZgRJBS54UNpomtzwM9OFsIIPJ7Gq1A0oKSsIjCRZ0hEM537/TEoYJ0+J7QmZl9/lxbRHru3/laQ3bC5gEOh4R7gz5NueGOkL2JbeORgWhl2bBEvRhqqBLUJ8my4qJBfpxGev4aYMmU7ilzjlxBF6e13I0kfka9ZDcOmcUVCZXkNXogIN3JiXLsp5VNcPS6blSazecWEQCdNG9l8bWyzh5QSZww06pBcNnDJDbYhaycc1J3jkjUJe5d1UphdOKsF7XSp8wscwXeTHeIAObDeySVwQN7jJW9J68P+fv9nYGe/WubdekbfedWV8EcJXvsxPfvdFUCzcZ9kCzTAVgq0KXo9yKTws+E//A/3Ge4eO1axd7cbNn373bnX5es0yhZvVhSUgnfDyMGL5KqALw/BmE+z4F5r2wwwuKhYhAFIUeQR2MbEHyMyNp5KDMZZWUnQarMIywGtkIdMaZsErqh5yCSPYGaQLgEzg98miPBAmRCggLQEIIQ5MSHE6JkRt0XpHeBgitZHwTUt+90BTED8a7WSxbPaAWbyYBzfUS0F1bgJtREOqQ2e9ifyplSEsEogEIwq2UapvbtWwfS9wDaD2MQka66eL5xaU2G9IN7PbsjzQner2w2hs/iKFC17LwAHAwy8JD4gIfp7plGBb0nECoIEgEOTrZrkbdrQrSamJwtve+3jgY6yHs9J22OUuTAJxZpkBrcFZ+Nczjx7JtF1sDnvbhG4Fi0zrSsoObuYCgtlWHExF6gT7LAIwVLKl/N1QfJyrl3nS5BYElwNRkx9XOQDBzVWq1mP3J1Qwq3H+z1RTRlrH25io5HqjIbw/t83gvlmlg8gGkY2Y3JUKgRwRqv+/nzbXUkMeuGzpwP7xHYFW0y9eeHw0BA7h5DCZnGSy04nDnSg/icCI9Mdh6J8Mk9LWj2he+pUrUsNAVjXQ1Lysg1ubdcksz//7i2J+OlUsfAuzAoL3630LU3z9GOW7TtuVO/eTCQ4wVNXmmiItmYT+2lHbxoX7u0qqALI4qzwkFxPVsrNetxTxhSWKE1PbTu2AnUSUrGXrQ08iGKZH6dZsWClAyvYOVKaklYtI12TfLuoCggAz/82rpKoxlxkP3JtTBUks/QqVe9dt+bSrMF53p1syV1X8HKgdnra03rhTybklAU0Mq4ltqbpeInhqwtlhkWyZQEGwQxnGGQFpA1leXmhHECMdCvdi1SmXBWdi4Fn4VzBx+LTjGVrUhEKiVNm77bi+3SCsa+qjPKIMusLZ49C8eKTBg3AAKDXWHPqwRKiaZXUOmjUW0q0Xhts3bctppdO8FGs1bQGQLp5H4p8Uld1wabgI0h2CSQye7DIlmWvc6/R6GjGqNpZOfg10AcnkxsM6p4wnRClwv3i5EP2CSSLvYoujoE/KDDj8pHyMomBO4ZLweNFpIXBADXW6frmHAtoJ0i7Ed3VKJiz2qkxWymAOpgerqWS9a5RCBP00CmJZLxWLLrk2Jzmupek3Rmmh/q0Fx1Vd7T9hiI1yDyxKfaH8umjOd2XZOg41il6e0V5oXNVM6mZf73bvi0biZsv7Xd0vPnPiH8V525cCLBKoEJATn2moSTbjX2A4ksNgh7Abk+CShLF+z1TYjvHqDmCqzPaVEeudsdCTKD5EirIRA7k2CBY6khAi0Dq9WaOH+0OxJlm6WAB++M7be2WoLOZwn1PjpRKnYBUlTLxzlj4NhscACIWHFOlzaqtt+LFLGirkoJB7b7B/dcCZCMAgOw33N9B4wTxoLBbDhIIDgCJGaxkEXS2QH0TxtXkAa20Sjb5y+sSPMBpABuxiiiG2RmhRSCrovoQFjkdyXXnbpxWm3U1YqIKNstGf6yNauJdSoV8QFwgFwb6SwZMAecw0sUz78C83Nw6exAzhNHzHvAFxhPE8mUYwRcIdwND3wOrkVqlTj3IpNaqbUjbhWoJPbl7Y4dUF4YTaw7hBcyz2RBS4AwQY+CgjXolJjru3B9dDXV21CG6dJw5VuMi5QZI8oiJZdrr5YVUJB14FR2RxPb74VyZDuQm5tVoVlfbvnwOwyddFLqZZV2CAA+vDu021VUU32gVxQBrRdtc6Vmr82zSSlM4mRQK2U/iZuBngnES9Cu2EYTR5+cLFy0Whkj5ZLZOFUMT70Eea0h7gXG/rev7zsS1q7ah8hbDye6f1Ng9NQdLZwhHDfaM8zcIaBFA2SzVdNzhjDLQEfn5UD2dM7AhfWGCKgEXZogmjDhminGsUTQMKxBkbMBmuhKu5FB1qvIifKZ4QGViyW1pattHuPIWIbexM7DF1r1jo7MaA+mzOEpq9QIz4TfA60S7D53hD/x5ubx5F/+QNLjuYAaEbRtNL3WDxH9uNuj4iJ1WW08g/czEcC9fiiUgOwf/g5t3jgMgi+CtLgB0kmHS2KNUkmkW9rvCSZEcNwkYHBkgPLWly937Ob+WIhGHTHBtfqcdO2TffkcVzcbIlxKiVezkKoqy2RihJwtHAuJEdwNui4yVCcjgoo8X/Cutpt7I2XSG+26Oo5QBAapAmlAV2aZIElGDZKA42cvHYx57t45gkPmflC64vPw3FwZ+ZNcnM5Kyf7g586JD0FQKQmBuVrwwzRTlksnnGmeIzaUvUjpd28Y2tcurGr6+Fly7SAM/48vbtuvf/uWEiTpmLTqsi+ndecAxmSIiYJRWvHhf5ULcu6LARBlQvGR4HQUi+JTwRvhGZF44TvoIDtpj7GHSRK5r7u9UHY7ZXrx0Xiu1kvJkNlnkJCZoTUUYr0GOTuEozKUvWKJWIzd2e3LPpBgw3m5GQ91f7Jho7IdAZpCJByulYUkAj/j5G3nnjzP9coiIzyA9+91BQ9DiBNkFwORluVIYP2TkRCNUze/vM5mbNnbd468Dp9SPnG5cwiFBdQwA8bIVwXpU2ARuWxKBwqOMLXVGjNJmNQauXZDgyF0FbX1NufD6PDmahNUYT21w+lMm4douAYjfxrZfg+YN1ZWDZwoiJ1yztHIRXukcppasTyw/hi2NkMAXScF44pxw8lBmINYSmkB9IWAgc2rTLQWWJlriuAjFKxWLNnRlAFMJWV7wH9AhCAjQNke0/NXYEngB4IInwMG3Zbsn7IWI+hRnJX6HzBso2ztckUGmuvHsdcTsjn4MkgbAzc2bbXJ8LqCffF8y+52fQrsSs/LOGqhnM1su1q1iytNBYs7t6ZW4P4Y84LK4mxQb6dkdp4yl1CwxKIuWa4bWIIjMkgcF/vjBuJdxYLKeRhquB0EOo1qRUjC7gB3i5Q6oYQpMJX8fxzYB/ecuU7tHnj4ylrNzrUattEpqVVZQVVpYneYTkvJjRHg8GQKyPozrMuDO9Az9ib8oCR2yfSYTGg+kPBwgBNJFDw4H6kgZIgMiT0EbF4q8AS8BTNEt6U/tbfOtey1DTQ1ELyr2hYlogJ8nBW9ByUS+BwYcoL17WbF9vrOI8GQt+tt/YwGJNLJ1HCZbZgRZFyXN9pq0wXVaVcK4kJdWGkaBBZ4R9T0ecYEkm9suEOEoAcJkGcB2sfPUOIigJyGNQUKOFsI3wQzODs+K1n+cTcK7cpF10zBoXD/xAdZaLskuFTGuDCqPiNg4rC5lzjRrU5VvBQ4Obwfe5ZyiZqV4TtRnm2aNQLOw5Gt1Wu20vTXxcizl2hVh4zKO9088G67bNJq1jKKA+T737iydtyKitPifhCQnF+BiF7z0unCGPlsUQqmdJR1dPwfXzin18f5gS5x/gmstlq02dOd80kRLs5MNpCNIAAdiqa6AVf0O4gewv1inIXk/he4OJ8o8/B6yAyQhEzRxSHIPFtUa7GDh3tNSYfr9JEVkNp9/hK28VaXoZYFKT2fhpBw/yRKCL+qWhLyRLJFcMD+4PvOzXJHzDO71x8rMOTfe0feQp0FugSaPJfs/USA7lSlI4MuEn4cdAFkyecyTezrl9c+gaagRYTtvjgn0nIuIG5fWK0L2aIkR7K53W5o/3P/pIa8UvEunvmQ0ixwgzj//dtde3dnIMFNL+XDO/FJ7Nh2uhX5WdryuYZWHV6cawvxrPj8/GzGAcrLNJ/y0vRQZR5VlR1ARjB6lEVK8ylhZHu9ZKZMlI3/0c5A2WWcMi02UbbOwy+WncVeEhmvLJ2QIAlEjgUJIO/daqOwiuQ1YAEdCxX7iaubtj+iX91rmmTswJr0jlfqBeuPXBG2CCmuUra+JYKLgYTPd6oWhbH972t7MiCoPH7ndl/RL3LgaId898aBpiaDNESzuaAaG9kwOBXnIcxgcOMYHEYk8wcSr5Uod8R2cb2mLIzAaDqMZew4aLP5PSOwoL0UDRacIYEXmVAd9jbcmSZkUs8K4Rec61DDjfX+/BPGWmPkB3S9wLnhIAUWIYQ2mNh6oyKonKBNh6xSEgwLFNl5syqDQ4CH8/7KhRUpqe70Syot8YyuHzlJEPEfuiGoH9/pjiyZpXJiBJDkA4wCwIBOppD1qgrKcLoQFKVSqWAlkGMB7uXgeleEqzaCwMCMh9tCp1FawHnNVN4iwzkaQU4s2qWVtn1neGir1G8rDRHKbuxHVmBcQMDvYIDo0iqKP4HwGAaoxX8zz6VAoIjOClAzqAnKuT5dWO2GR1PdPzgoZLjol3DjxIcISzI0GB9a+6inr8ADqiNq5t1UBJUgCxhU9gdE5buHE7vLmUBWu2Dq6KEE+ONvrNt7u0O7eYg+CwJflAoSu7ha07OAc6HX1PubnIi6RxhEOUXbJFK312qjpqlfIAncVxwykL+mUNNVAOcGwjjeAXn+COcEApOols5zw8hybXBowniqMhjPhvsIkpa1XRKU4NA+t9lR8IERxrFnEuIeQE+cwAtisdGUnaDcxGvu0RXHdO257gnTsB09ndrObGj7Q/grBRG7xbVQqzB+0HkEnzvXOh7SmY2MP2neChywb1bWlaBwnlx8zZVEcYQ4Ub6XqXj63KiyEFCf/u28IhDUTDAL24VQXuYgF2Xr2cMkLCRQUh6FY8B9UYmVawvswrxsFBdSl8bv1JSQLJZ5II5nM0/4ecqhJCQQ+HmuJ62TJNYpJ1BO4v0GU0qEiZXSeVmdWU5ndH1wb2gZp6TXaoBams4sXZHw0Ai++X7WmfLF7ZUHEDnsEfcr44/w9zKq4wrBZZE/+bxIG1AWqVcbQi8RFyMQzqYAZ881OJ4f5Ho86FiFZbdFnFnOJRdMiRxfcDinDBCU96ZOsObxgexmEu/YNpIKStphCupatEuX6iK4IylRh7xMqThiBtdU+4Vrz7Rl2KN0Di4Ggs+jXPPKIiPZLAU2HRC1a/nPpOOQ4GRh/hdMzpXoGn0GggoMN61cHDq2Fw/uG1stOditVkPGANIhmSuEpHNpICNI1KzWqjARcRBmtIwLsHyBLIp2SNAVHDR1RQxDTYYcRAMYT4O2zOXNMcYWF5Qls7Fp41IXTMEnNlIaSQpm262i9Q6diMX2yuqkoxLtt1UZe3URmNnFWkt8DD77ersiqNn5J6Yx994yC/t6ZitV765I5yz3SuySytQicQznV6sKEmCjY1hY6DFwjRBRIVtyjzAu/FwAtTwJbBSFCuioi59fbarkoyFx8wFlHBqQJ5CqO4cTsddLEFMbZREhnRhYErG2VC5bsxip5ALZa7UFsdSJZ2QfOM8vrnUUgFKiaBVs3imAwJh3RkDf61ThbKA1E6u+//l2W0aMshqzHnARDAmcCv6k9RiEI7A6Q/8E2U+1xxiqx7WR5e4NxxoN8PEuDmxibYxs4MQ0njPdNO1azVYlbw+CVrNK2TMe2rvbUVlIDRwBynjsET7HZBqp9LGp+TTu4AlaXfPCp5eCQtVoZdxoON+pUfGBj6AhID2pyXDvDqYSfYOnxH071/HSk7pP4tRe3+rY9krT/q/37gkx4LPxuUHRvnO7KydA0EnLtkjOcWC3CKKmM5UuUL6lldk7ykIF5F5GSWWocW5wUtg/cEsubzTVnTYSo9REBKS1MdOBYN9RzqEbgSwaAjMaL+xxgv+VBD2g1Hq04s8i292baHghQWVmgNm/OFj2HwYbQSj2AkE+Tg6UCMdZgdOgNn7X4OCz+2C/uQon5bS6ozCUQAiuCIDYxwSbOJFFdGTZ+C8GCgdBeDyUb6fLjKPIeur2YA87CRun9/693lz0j1bOkvhQwPsp6ifsKYTATlCR1WwpHNvRWG25BFogggTHlCKwjdgmrvfm0fABXZWMbOoIqM+aOZ550qqqnAJqQ2BMm/u9/ieRHa4dSQEC6laVcQixUB6CHYKa8fz1CaJfW2vqXOI0T5qHk00gp/uIAIRkCetzj9EHxaJem1I4KM12x4Mjnk255GRg9iGfgYBXon52+vwdbONv9fadf1IGzQqdY9NuqlWX8tL1/ZGebcax4UxSkkMHCKHEtoTzUnv/7kABBTdRXZMBSqmhkrCray273RvLrrC3vnCuo3vPdaGlRMMACQrxMYgoAR16NuxLaAVtErpywQ4PQtvfiyxZZ/zE2nFX0bWj/icCQWbtfNoIySsbjBBdvr5Jiyc6DgM9SIw1PAc2GtnEZscU0XMI375FCymGKbSPDiaSwhZBVNFmaFc32z4Ub8rskbK6NnCaZMVEv5RmEJ9Ki9Sey8qMqL+TvQN9cpClolkp2Ze2O4KAyW5i60mQCsdNzfCoT5knlsppt4/AWMW+uNlWJxBBDU5TLXXjSNf+9fNrVip27fbBUM4YY3kIw30aI+elQANjCOeDzN8jZrLFsn1u07tTODQEDJQc7nXHcnxkKVwDAQhZIxkxQtWfO+dTaGnHRNRM/euthg2ntDIHKkm9ttLUayNKBWmT+0dXBY6cqcHcG76+tFoTAZWongOPw2RdXItk2CmVgc5gPCkTgNggl//23a5dOxhL8RbHvd7is7REiuXzwOWhCgZ6hAHBUZaLoRwgfIvbXYwp80hcGAxuEEPnOKQ4LwwTnQ18HsogBKBhVLVN0KJJZIdjl5jebtflyDAGP/65DWWdoEcbrbIMM3Athg3UC89NTwTln/MbTYsjkLvE1lbK6rJCkOyj3ZECjSKK6mRPdBkElC0IkwtWRmiuUZPjlNDYZGprlE5oT21V7cvnO+IjUdqRJs3eUM7kcDwQN2gKB4rWY0pYU9CcqUqWkHVX6kVplWDM1RJcZrYK2hAV+z++sG3fu3ukycE8K3g3OGCum1IcnBLGCuCwm5SRZgXrD13vhfvzwW7fLrRrdmmlOR/8hxx/fY7AOSG11KgILQByJ4BH0pqyJ0iHOAyx2azpktcE/8DXlNvQT0FKPkmrOk90DnDvP9wfqvyKcxu2ZsdkQ5zk1y+tqVWWgIvPWraCvX9voGdKdwoB9OtrDakT//8/3JOwF0EY73lhDY0WOFsVlRko76HySzfd23d69offYlSj92UQSC2TaRcDBRGx56JqBK4EzDhOzgHkbdA63eO5PDnEWfhcXCfnhXMNMRoEBkdIsMv9IpuXw52rr2LrGBehwLQOaTKyNJ7pXoLskoARlDATZVFhVPLtVhU6RbAAkgiqmCmEUjol61YbKzpJMeeNqdoT3eMsIOG+gTpRDgMFAbfhM+DIsZ9MeyaYvNudilxM8Ah/KxOwy9pfCQ4oSQgFFKm0oP0F2Zkz+/pGU/yrb93pqSzFWafsDMRF0I5wIQgHdhzC5/mVhhCRTLV3ef4OpR+Qlm+SuA1i3R/sC1yMbMJ49owXlWTZH7LtCuhb1IYN34AtB50ASSHRILECxaEL5utX1uYKuX6OWLwmn4sSLqg+zQmrlOPonoxjnWlKxP0otrvzzilKbQisZWWn02btQCZfbsV+1uuVDUa89c0NvaLTILDhFNZ+WQ6T9lZIU8CcwOBsKMS4SPJp6w045J26M9WHPNiJsiA2J0ZDA/Igo3UYmz5U6QVjAWkSwtu9viuQtoolZTJfvrgqB07tkGDi+ze79q1bh/NZEV4/BZbGAGFE2ViUFpimOoPIWiK7B3kIPFCadxR8dDSQI4AbiTYJjqoRU5JI1dqFYeXzU5LBeKMZAaLDgW/WvcWSz4Sk+0HXJeQxOGRD/WFi1WrJzq1UVbLCOXzjtbVjCJlgiM/NwUQbZKVVto0G7WstGXv6/jGC3UGoQ3p5o6HhcXAj6EoBnK2TyY5QQ/UOFrI9EW+HQx26jIDFH5wrnRkccilF0qJbxmjUZMSSqWtYNJllQxY0nErfha4FMrAhHBIUEitFBRKV9aYIYzgvgjECgd1+aEVj9kOogAYCKQ7ahbqmtkLHA+TLEWgExNOifeX86pys662KGQv+4hrIT0mGCal/jC31f+BtDCJMfTJ27v+do6EMziyhc6s8d0wzBUPwhugoglsAYvf+DnyeWO2o7GsEsmgnhd+RFtCe8WdNdu6TPMdyaD59mbIjSExZjgFSL2UZusSoqVPWc+IjGSrw+khwMM6mFHS1ZzICIAjCJK7ZUZ9xBq4nwv2E6Pf9Oz0fQIeCKx1ZGvg3Oy5rSIZ9HgAie45j5QzguG4dDVVqQ+QNXQ5QQhzZG4WmHKV0GWah0EjuHUETATTKtt++eaSfJXzjnJCMMGDRW7EdhsdJvlFpz4WkYhvOhj4PJKAtObWrzYrQnItrNYmCgUKAivCqPjMnVHa+Va/Y93f7QhaurLfs2n7f/uu7O/bjr2+qsykjDC4KXbE0vDG6z+FgT5AEkO27w3LoHxsAigNaCJLBe7drdSGvlLYo3VTpYqGLT5wml5R/505PpWcCLTJnkbZj79SgXAsXAlsGCsg9z+B8UCAycxI2vs7k20Eq6JyjBMzi2uKKC2qJCFyp2DiOjj8LqBPPECItdlhdSxUEAdljyJnP7KuXVo7nsBAwMEPqyjoCeqHsM2cyKwfxLEgSaFfl7PNafF7OGecWZw4yKYVq7DrcKUqyoFyHY9tq+h4hAeTzcY95AUqMSZFuNnf8zsMJjpVgj2YuZEhgQxAKbq0puqsNlddJtrKyloTd5uq2juAkShBc0AxtD8r8BWsz0yhGFr5hqxcrD0j0Ly72C2VUbAXRG0kl54pAg8B2teXaRZTf8FnYQ+6LtHqkIZTpxJw8a+d5rFc2GMnY2mxiSJOQf+gA4EnAO8Cw88BoKcOhQcS70nZEQ+xoMpiYWr1Hr1+9tCpn5APfEkFpQGbtGdE7A/YiBRFknpSDCDJ47bCSWu9uV+TQq2tNGT9NYk0QFPNdgqEHGekPIv0c2Q7oy6U1j/TZjRxsNijOHwKpsm1zpVBmRSDrDqy7Vq9KVpuMDRj0ykbDvneza+M4sYvIlLPRk1ioEUPbuB66IHojDECo8hLdRhdXyfwKEtKhkwDDfWmzIUE1N1QuZEX2QImHDQ4hkIyG6bD/69qBsimMBDX9W0feliaeBUOmUBgFESEYFALj2hwQczFm9M5vrxTm9fTE9npTPTuk26nr8+zgf/D9cUznESRXRLxcAZEMBqPX2PChWGTajL0nwITzQLaxWitrjouIkhx0WlE1dTU06G18Vj7P4GBgd/pTlUiubLRUattsFyW2BjEUx+Mcj8Tu3BvZu/f6drs7tDgOVE4BU8Lw4ygwSNKhmOJgnZTMsyLQ+8rFmt3tO+8CJAhlyE6rauu1sr21vaKAhm4WynbqoKFboIwiIwJU81lFaoWu0uQkBIkBdVIbZUBkVJTDolbNiHv9DqVMgpPUxZDKVbNmqSRypjgC1KznbZ3qSIhmgrhBNBJEs4ahtesus/7ubSYt+/A83methLqvz+dh7tFapyaUhKAT48mzuth2tCIjqO4OKEem3sKNxsdgqn3FngZVIWi5Fg6V6WLoeS3O3ce7A3vn3kBOXYZfirAi2yho+uL5zjGXYhGKp8SAg2wUSyKjU5rheuFtcR3oNBBcU2rj+VGuItgBKTmKQvtgd2BXIHAGqTgQ2AKcI0bfyzVjvScJSVYq4n0JqEARCHQo2ZINa44UbXsp6jAEL+iKRArez69V1E67M0A1uKbAmeuB9EjAiM3JBrpRqjm/VlMmfKc3EIGfc4JD4+fayBXMuyt4jQxBYT8B4zv8f1++neej2UE2VoCy3qzb57bax3N+VPI7dDFGTTNGzr47USLnfIxE31NLcRzbXfFfvLU3Q1mi+dRnCOIsbCLPny8JBlh05FFq5Hm/sdGck7NL9s3XNoSYgLxiH5oViPRO9qScC9eG74H2aY/PW8rhPEEcxSZwflH2hUMknmDBu+7onPpoty+bAsKN4q1Gecy7kygRd8czJTifO9eRACJ2jHMJusSWI0m91/fxCrw2RlhlehGzTxd441mAHhK0Y2erBS+Zk3S0Zs4z4sxj49uUmckK56MUMnEznnk2a4fmBs47fuF5dNa8ssEIS/XaTk0H60sXOtL+YDbLfp+ZLEUrASNSC0BVtFZWa98PXVnzCZh9WmKZ/VFX18C5Vk0blsicNBMoUrLssUnsjLbh7oTaMfLrgb1ztyejgHjZ/oQhZam9tuaiRhgsBuRhuLNuERzwII7nMstwKxLbORrZl8kgKsyAqeiQY6vYyI16SQa5UEJNFbXOhtAPhuxBFIU8iOPjOsliIV9xqEE97hxN7fp+34YhdV7XmMDoEQiQQVLz5AAQpAFJSklTaM1MQQn3h2th05N1XVqv27V7QyEX7+/0j6XVqd8fDsa2N6DVF1XZQEaQVmeycoS16N9HP+IIMbPeWJyADFmYhGQeaJWgIutByrt3B3J245kHLEDD6CSQpcCjAcV6725fBpSW2BtHAxuNIzu32hBK4CqbG9LioO0O4Sq6TFgf74/FH5lESEc3lWnxHGm1vCI1TZ+KyWfGsOFgkSpHbAsDgegcZRIcLdkT3QO9sesUcC+YBQPxl9Y/jOzV9bqyMozu61sENKFVxq6WCsGNe7DZYPChD/wDesWwMcixXqZTx7kqPBsQFDgAcFPYf8z3QZqeZ0sUd/uIqc4mZAOIm5IVHT9kXwycU9ZdLcsZ0mJ77eZQmTszhhDXUzeEBP3mYnkgcBApKyVluJRrwngsMi55Kx0+lIXY93Q3cI0M+EISn/ImJZlMuyLLRAl86LLhv+V/IDQLEXSxQTlI82GOBCm05PM77Ddp8BRdnIp9dQ5+C23lNSf38QyXx9WzpxSM05paTIUmTaegU7Q9ezs7SQDOR8O0Uaqte9s1DhYtCTJwghkc98E4tCurDXtz06W82W/sLLpNlnU4QCNuzT8vwRMcCRy2AswK7aF0r/h0bZwYJTRe66AX6vwRAIGYQRDHUfH8CEpBAkki1PbcctVYHBP8DhwoC6fVT0LxGtirmjBNa6tzdk+Rb0dzpqxuxGzYG4trAWmgvAXJl3sN4gyawb4ANQJx4+fUtaaZQ16WxZ6QhC2iLCQ+oBNwO9h/ZP6UG8Sng2BNiXIGh26ksyPMFu7cCpPUx+IaYU9BqHk9kBN4HgjVUcKj7MjzA+2kvAMf6+P9kYIJ7hvkbp6nzydydVfOGOgQ189ewMkjfPjxNS/P0Y1IC/8oPNKz5nUIWrh+byiAy+Py9wSSaOdIqn2BMJtNBWZlgUKGaBBwgJBl0vHYbPaOtFXQlgpp368q8OV1IMZn4mZ8vYhCShBvzk/6tNcrG4wsGh0cY7NcsS+ea/ngo9QhU7IbnC0GEwEndBWCsdnXr6za5yZok7isMsqZSAFjNJpkMGOXIkYIjYMs6LsEGaxhH+/1bYygEJlb4LoFkJQwMkDzwNb96UiiTxxijD8HTyQl5OY3WgpYiNL3RrF9eG+kTIuMBFa1VBnnw/pSyhdWVAsnBlo8kaAow0ImI+VZ9fDThpvYZgvyEm2jBBLUYene8RosnSibbZN+yeXVpnRYBmOk0X0o2WRWEF8DpwDKxGfFIFBeeWdnoKCHa8C5AyEy5Anon+vmjMEE/+gesL7XqgkaCKDewsgGZh/s+fA64HV0XD631ZLhQrkWGJr3YYbLKPQgcRI6FEDARZmCsoZQJw3Y82CIbqXD3VBIz3r9SO2o9TKthLG9c4/6OLMeqnauWZPRnms0zjUGKI0gY4+jRG23ZEWCjxES1K6GyftgLAmw4ERQmwc9o02bz8DzpHMDMi77jlZjavrsNxD7mKyl5d1eIg3XS3bvCHQDZwzrv6TsixY9glOE0SBNklUKNkdnJU5sDSdRo3MI1KOlSdVwfMjPJQ9O5l1lIGBga0Wf5GwM3GuUdC7k9ODnTGPrQ45GWbQUWDwC0yEIcw0JjDp3abNB+2DRagGQc2KzqGA7zIAKQ2uVvaYNwgH6RZZ4brVqlUJRZ4XzxHuxLwhO2Zsuu+370JEpV5vE0VsQWntStNsHE7Wq8+xxtDiHXhgJ5sdIw+GixMfv4YC609i+vF63L55flQCZ63k8ONZ+hMMLY58GLWfnJbw/8Na5eQCFoq9D3iQ1JBecKaELNYZsloSY7hyNxSVjYvMf/sKWkJxm6OXFbLbIsg4H749jImNnf4GUUYLanA8npHvv/rh5UIJICQxnj9ItNoW9zmeidR10kfPHdbkT9qRBoo7cD0j35YL98JV1zRq6cTgSwsDhy0ZUELBxnrIuoEX59kwFlGAhIxOzMhtLeQBiK7aLPUvLLM+Z54Ut5tyAoGLLCChJMLgG3hfHnf27k1O5Nm8m4EwzSR1eFiKTzKAhCdpqg8y4/D3XRjckqAY2FbIswSqfH94IQTqSSCBdCnrS1K6uuR4H54f7T+DJWWTcAJ+Tbjj0QAhOsFMkft+5dSTHzmclcOd6KWFXgqJ9925XJUqSFOwGDQTcI5AggrdWLZRIH7aDYHdRTp6A7eP9vrfbB96VpeCwECgh4v4h/w4Cs9Es6J4fDov2Y28gLOhDVRkfwP4ngPQylo9GOObcLKGQz2O9ksHIMpN81ndSlx94tCh80ixfZ4e0O5hahwiYTgJEiOoVWy0iDJZYfzqVpDv1QzIcLzckdmmjIYNJIIMwGhAjG5BMlqPFJFOGnGE4V7aaylgxKgQvynDiVDA/xCsc8d683ql2SRlCIM5IEDAnm7JKGHpbIBodcEQYVqa6pqUSumIzUwY63wISpO3RD+U790ba8G+WOvbNS3R9UMMsq2R1/WCkyP1yp6GhcMgG49T+8/fvSCeDqP9Wj/ksRfux1zZk8G8y42Y+yIxhcgRVcG1AF6KdxK5stlzbBO2IIu21Lo8OgQsZZjL31ZYLwr19ryvJZA18qpWELvzuzUPVfDEePAPKO7cO+rpHzq3xThjOlST/maJ6jBzREkrg410ZFZxIElts6IoEtv8hLYGU4pggO6+3lktWXy3qWZRLZXWLvLfbE4eE7IQAjkm+PDMCNATJ4gSSGkGhT1wmSMR4UvohUCMggqh7rlWTYd6/17NphHH2ac7wPig1tes4rpkdjSCYBuogwtlg1AkkMKbA2UdDOre8LIOE/xtbdeuPfXYFAQOdK3Tx4GBoGeZzxOOJUKf+FLn2sg3Ksd0pMcbdM/TpDG0MSG8EiFOhKYe8RgCPxIOEBBSviDJr1SqVsp1HGKsQiHzIuI1SuXCcHd4ZjxQY0SncDU0DA7dbzruhC4w99Bvv3pVjZ6+CynCDkdPnM3o5gBlHru4K+vI719kL7mg1x4iHPG+7j6RrAgkUvR5HGDZWKlYrFOzqBh0D5hyX+ffJPsm82e8+pC6xbgyKCBJVVlkGjhHGHCdO9xX3KXMcIC/h7a7OMggW3VSfZ89UXXQLFJWFM8/4Thkis6jDQVAigbumd+RosjTaH+WCffnimq6FawJxoUR0fQ+HXLJOta4SDaJllVLDR92HdMiULagUNBySlvnfQd2ZLouKd7RtVtEm8m4hOjHgZbCvulFoUGT5HvcHGD9zVtJFMjt2qisBAZBPuc0QKZbEt9inlE/WW+qUwf5Wp87T8LJY6gJzHSdXEuQRBOp9opmtFyoPlNYxmiSMXz6/IvtESYb9CHpDgMvnlBBjvazgIUMN+MwEnq/BG5kTUjOdEcptSjqKnkywD+CgsQj+SPTYZ+uUumsVuz4a2mToekqQmRGb5P1XYkf1MMs8TxAxkiV1U/I5UcYt32/VVtBfJQigzEVJzO+pBnaOIvvW9X0NJBWCVys/MLFZHV7YlP2B/Aj3jWvFfhM0ipQ68cCH4JV9jU2m/JZxbtaWUMjntV7JYCST5uXhqLQCjDtEMZBea6aQsiG8lQ0HstujPlqwTSbdUmu/fShjjOH0EfFMlixasRZYgfHdkvE2EctAPA77E9tB+XC1oW4aD0oyMZ9YDoTSCcEDWedwHNvucCyol04NMqIN5H0tUP0X4pnkfSEmIkLV8Cyh2StbEs+siL7PlHZXF/nioOA0QTrgKFzs0CZatFp/ZGGfwAaJ8IpNyMgzuA6xnElk3UEkFAOjDIESXQoyP5+Qm9jt/aEGwJFNccD+P5W79rWLa6qHk3VAuqPXHWlzJh+L3BrFIq3SycaMGAKqpJCq9o22AX8PxlN797YJSofYybC/7ULFEvg06BqUAumXAC1jOEAz94axOAgYTrg5qxC2SmWpT/I8gX87dS8BEfDhoEup6XPDRt2L/JBSjqNbhk6c3pBSU8HFzZhhM4ATNFFwwbMO01Q1d/YJphcUo15kz+C4R7bdaVhQLAhtwQjQukhbKYiIBNJKRQkWMecH2J49U6AtvFXW3CMcOiRNYOj93sgG8wCMTBcE6X9d25OGB2UP9tB44kqQ5yHA1Wq2VyQIQvCoqjIDao6UfRSUMuOCm41sdLliAca3O7BrR2a9zci+eGHFbu9PhD594RytgBCRi/atj+fTY1Uqo+thKBEnkAOILqMZWiNe76a8h9KrD2ALbcJgRJCcKXV3h+YhTpKFq6URRGNM8BCpdNWuVPSsMJSgPiQIBKhI1xOW0F4N0kgZDqelwIqSJm3kqKaSvSMHPp+CypRuEWJFFq8p2Aa+VlZeK0l9FfuQCV1xXZc6dZXZkpjuMxyz62qw7xY1JDDonGfeExtA4ENSg3P72qarhmY/e+xYURilc67yoPBU1ka6153qvJDJ+yDNqTUOfLwEgQPnm1ICZYE3tpwQCjIAJwPUClREk5R7Y302Spl0oOGAuX4cGS2oIDQSLksDoV8SA6vYfIq3I0USZJtzZT4+6gsFYs+T6VOe1CT0yVwDZQpq5YRtSr8EdoRZlEjgMFC61KBNukdACxAULPue4GdQHwb9JVkkeM7uCwERAQbE4RqEXE1SV1RmnToCe0W97hgkqlZT8ExCSaCRlTfuy82nKm9kLdYkRyBFoJ3cb5IpRnWAzmLPCK54CRAKuseYQ0Pg8NpaS5wUuuW4N5S9eT1sJcEgCSaBMfuL+8HzgXPE9WTquXV+vlaxtTqt2nQkulorw0+RhifA5P6NSDALPPtEiB7JABy5JqVKRlbA1VIASNeZB7neqUmHH+hp6L6C0mfWgj0X6XuYQu6zXqVXemLvYCoeA86daa/T6czuDUMR8gghMaLAntSeU4iFQIxjnPPEihJ+KmmzEYGuNTpyLqMkEjmQ1/hv7+2rQ4CaJgRRfhbnQ1bKAhpnp1zapHWzIil3DgGkRVjRdFqwgdiEQPp7ZF5I+M51ABhOBjQHCYugpw3prEGyX7C1GhQ3b8M8kgOlROFTW68dIsfNf7t+Q5I6sYuYGgNFmem7dw81Q4ZR3DgFkhyuBeNJdpiJLWlEd3fkAVgY2Hdv96SwSWmFiNyVGAm6nDSKw6NeizR8N8a5lW1cDOzGIePY9XSUaUynLnOMEyC7XCtW7WA+3n0SpRr2RLAETEoWzWEdMh+F8gyzVholtb4mag2t2Oe3W5oNtNN1Iup4UrIBZYKZWcqUdw44hGQ0BwoF++igqOCRcQEM/duokWHF9u7OvpwsBhDIFcdOYBhNfDAfwRDlEXRMMJ4EEaAGPmjL7EsX2vPab0/PlWf50UFf+4FsmiABrY8KY+LpQqqVxcmQFgxlPMSsyIT2+pLrp4xAlk9gxma6vNKwpBBacGSC1VEElcprf6RnAfETf4jSKNdGeYGOKUi+jQDHWlQwAxzdPByqjRzeSCHpSTYegiDoIAWz6YgWSldlLVHWGCUKsgjQEPd6c71q37/H3KTIO4CYWs3MmJELqkEUptxH+Wi7WVP5jowWwuBQbaUzu4msu9rOUw1yjBAPa1Eio3xF4FjSnuc+cK5xChhbUAkcEo6600LuvmKvrTZFSqQ0yutieOHpHE3hl/hoCNAA8TIYCsgcoY2WOEBI7O4MprY7Cu3mQc2+cmnFPr/dOO5scAXPiRwWHQ6/e+3QDhHuEqcER+ED/rKVaUTcoaVa11FV0CCUZY6Q0DH0zk7PPtgbSiKe7jT2EC2vOCwCCsoD0vxYqetsEJCBNvTQ6el4mzHP6GgIN2Oqf8cBY9twhqC6PGP2oeTnRRzFUaHYzBRXytUecAH3X65Sfh0qGCAg5hNh13hNsmq6l6R5hPR9uaRg5kZxqGCFQAJ0EjsEZwoHj74GpTy66kiAILXDk9EcI5I02rSbMzs/ATGZaO8wRA5+H3uHQIhSKgEsSERZs3eaugYCFVqCsQOUBbMSxCJBOVPAdYE4SjKu10LJhMDEOyYpDnu3SaNUtnf6LpjGOSKo+nBn4IP4krYCJc4nGjjrdQZX+m9iy9lrBNNegnPkkZ/Hhk7mk34zBCMTxmMfE3DiG26A2hUCda/RtkwgT8KnDp1yYIcDlLhBoAvqiAKlden32HbQqkpTBamXUu/QW27BxvZkqsTPY72SwUiWlXzvVte+d+tIAYB62qPYVoBOtfn8sZC1ACHCF7nDcKM4FVTZqNBqmyr7UNbXHymDw0lwMGjbFbRcBk71roH9uXYGzl4TKJmOSRlgltj1w4EkmHHqtGzCsYAkiWiYj3mGiFoQ2rFVrgohoWzBvwGpksURkUNSbdRSm8xb03Au1WrBpmNeN7Lv3DxSGYmOCGr41/bGgnRRiIR5DvP9cFxWAEawhgFG5wEpd2xpND8ckDFpVUS+WDV8UoZCoHH3ZFIEHDvM9IHoBmlwACISWrNS8XJBn8FqQKeB9Es4NLcPBwquyPpAdzBeJETIuM9osRzHdhj5BGGgeBjxkygSx4GAZDCmpdfb3NSpQm1eirJlIRTA0WFIkNOzMv9eiewAhj16ayK2mU1Ds7gItB/a3S6y1ondO5raqE7bNChCalOQBZVuIBOn9s7trmsVTKbKWDRJueDkY3giXIsrs3LfQulugBgRzDEWYIQGC0JZhkEJbThLbKVGtldUyUnOBC6KRNmqtttlkFp63A1AwEZwiQYOkv7g4YPRyHr8ewFnafbhABUT072QQ2Ly8HzuDa8DlyWpUKsO9Cwh9QKHc6/RnRFx9V5fEtW8H06QZ4aS7aWNugWMWIfUzDOLIbaGlrTq9sY6xNuxgt1MD4Jnp2uYzOxSYtYt0J3VsMurtHwfWhiFKoViROHHwFXBgIMM8LqrzbYy+d0uehiJWrKlRkqJs2D2+9/cUrBBUM/9ZxTBeFq0u4OpEDTxOeLEPtp31U8QJpwpCBPnmhITRh8yKmJ8BGskK9U5Eqq5JYwN2GgecyI0CgD5/SbdL7EFDBxMaAt11FJqx/OsM3M0dPGoQyZOJOZGB8iXLq0oI0aTBIQFRU7kxqWkS+6idmRHL3EecB3I8uGhwAUS10YqpGa/d+vIzredt/bt24fieHH/CaI1tblodvdwLOI610QCwT5lyCMITFUzXlr25lbTNjvwpkJdMwRgbAgCiSo30CEjUceiD4MsUfryck0/9Em2lDjoFoT7xe9c6TRVliFpOxhDZk/s5mBoKDWCRoGafrw/UFkFVPJbNw5UGrk3GNlHu0PvepzRQUUpxpEXEFGCHb5JKRrSpvRcmLwsXaEH589k+iE4ddCK79/qStBSyAaiYWgGDUNxNN7SRPCZNIQog241AxF8uX7283TIuImh9ghILEgkaB7P/4eurAjlwZ/wXpBpuZYb+xMXomMkSbumpJWVIW/sGcpPH+0xBJVp5GjN0HRRl538vZuHkmAA+aPc4ucYmQmzCx1vt+ffOceuvFyyMm3nR2ORZCE2E7BosOaUWTVVvcdJInyfxnolgxFfOCXv4NCMjzFS6aGtn2tL+wPYe5Y6fCWNj5ShaK5bIapBbOozV9StoXGmkgEOXExobSizWTCz7ghiKNUQBt4hKuT1YTYiUe1u/8iqUkF0oqJDgma7fS91UAKinY9yR6pShovVUB6Ac0Ag0qedq1qxMEE+mFbggmrEQHiUUSg/0KXBBsegkSG7jDmwIgGXzz1p1xB8G9thn2mzjMqmXW5qjcrMygW6Fqbia4By7B65WE5x/llKwMpx7Eqtk4qMZxxApizYxWLVdlCX1QA75nv4jAhgVII313yp2nAGo99nqtD6N56GGtDmffE+XA8nNTnySbeQdDFIRcICqDPiBJlFdP9E1Olrc87IRMaqVKbdF6h5rOtebyIVnxhzwUCWy/xuSgcLgZTPq+lh+KU1A+JBsOLPm/2DuulgMrVCyfU4uLYZeh6gVEFi3YiSSihDszskGLyhLhXN/2lWrF2eKoDE8QALQ3QE26oUKA0A3zc0I8YJZy5chKIr5bsu95q9krCPEqvXnOMDYkBJTZLZMVwIFGkRR3PYXV1ccaJ7B3JHeaWIdLxKhiVrFrkC2hPHMtgIpBGHsRfGEz4vpFJYx84XKRwSkjEGwAfhjfux/ca7u3Y0ndnve2PLvtQs2/fv9AWl3z3CmRHUOyeCgJlWYhb3F52La4cTkWuBuQkc4iS2CmeSksh4Zt++eaigE6fVqVTt3d19BWsQgym9UHIlmABRIkBhdwymY1ujK+kcU5U5taahkWSlozr6M65Oy/vznjgSrkuto8yHKhBUU0ZxkuP1o7E16j3ZB35Pz2VCe3kqjQn4MVlNnyz9tbWGgk3OhgibQye5UxL04Hxi3alPW2avgtgCw2OD6PTL9Da8VAB6iTiXtxkf1ZARbyhYmwSxzisOksm737p5qGQLJEHKvjGCaCAOZrcOhkKEuBl8Toj7PI8gYRAcreYzOX9Iux8f0GnmgoEIo5FcfRAN7ELHiaou619RVj8cR3Zzvzcnyfs0cSTJIawTGEBK/t1rB0KZvCOsIi0l9lKzitOk9I3miNsX2qlBYkjKKEuAEtYKRaEmGhAXxfaF7bYE3zgHgkjS1L59uyvEh32hAX8L82cw2Thp/oAqSSto5krF1OI1ImTkbbggQJc5G7QhTxi+GdveNNRzgqROwqkRAAwMRb1agYgT9Ckzcg3oR1GuQSma66ckSxAIuR7UfH8w0cRjDSqcB0rivvSnmiLOc4OgS6s6ASFk6FHk6B3nnc82m+tQXd5s29aK80CEqGLEJLDpZXASEdrv2bfcGxBHOmwgnZ8kwvdprVc2GMGowOZXW2tA7TewHsa6S295TT3bOEjYyBgKNhqbhCCADArJeIIL1D3rGvHOPIyxugJ4hvwMUXhMUDJEK4MSS8l2Dmlxm6iFEx0KkBCMwnRIB0giVATDUC47bD+clOzGwdgKSWq9KJaKIjwXDhOcEQIIsuHtVs0226nVDygduEAJgj6UYWgtRq6e1lycNSjOYFadi2iZyJ7wAidhaMkMMaBU14f6VXMuX8211RpeAnnvblcCRpRGyIhaiXckYQfo+ukydXY6lvNo1lJrDopWq5bsC+dalhYCe3fumIR+z2bWU1ZG5OZaAWTFHrChZ2B2bXekIABGOL+DMQE9oTYKDN+uI1hXsFrNJe9BJsi0QARe22zI+H2ACmixqICDWjuejPfsTf21cNRUVujQJOAbjcl0p06arUIg5MCjfeGZlqJFTECBP6hZzqQxwb+JtMn9FumRa07F1UjncDFZEUgGQRlS9mpvLTj5Eoc8mZjNopEkx2krpjsCdIDnANGUDIf3jMJQARGsfh55PZza+4E7K0i9vRD4F35ASU4aVj+kXRw9RgwEJgq9XEMQQ+cM+1vy76CAwN4opoY828TWGyXtefZ3MUhsTOaf8NmY1YOeDaVHNyrrrbqM4dt3DkWM3RuM7WAwth2UIiPfhwpu6CipYKApHxzKCML/wIhy7xg+h1aHdynhMJ2I3aDjqj8R6Rqj2dTMEp8hAqoAt4G9iEPE6HKOQXV2+yMJyHHuKSXgDPZGExtPEokOQsIFuRSBdj7crFEs2u/cOrR373UF7VPmAZGixAD61itH4myQJHDuMPZyanRXjUONTiDZoNsMYjefFaIkMvnwKdhjLMq//wXE5IiWb+er1Ob3/0K7Lqif1yWj5XVxQjhZuA7fv30okuNtaey4qB2y/oyUwNGUijjy1JIIQTqfyQI3A8SL1voK5GocMETaQkkoCd7r+t7U3r49UHs89koKqsOeko/BfKjgVy+uyNmC3pCIqSOKwYCHQ7u2OxT/QwM4UzqAnCRMMInGCwRReGdbbQiadF/RWeQlYVAtRw5SBVSUmtTFlZjdG04UoGEPQBNVUlmFC0Snnu9nnh8fAwIvbeScrYwrKKQCSQKSiiny/7Q4e9sxzxACLiV6Wsc5l7Scg1Ap8aMUOwlVWirGqTVWK9pL3Gc66vh86uLpR3Y7Guvs4vDhcYBoc6+w3xo0GVI2ngvQRbFaxSknEfCjv8SmJ7GEbA6nSnwcSsIkBMxXG7teFIHrHZWxXMmV0no2tZdkFt4JCBNnAql3+EX4GfYkg/Y45+fDml5rUQDw01yvbDCCQ6E+ClyO4VVWiCiZefZJNEzND64DBp9tDXJ+MHb4jA0DN4P/YewJKtg4CgSYYxF6QJIiM49ciUGwRM7Yp/BGk8jKPWqorow6jeje4b09MFhh6BUy3I2KDD6On8BiFJHxejsfG/n3bowURZ9r1ZQtSKhtiuQ3IjdklB5hM0eGi8APHw1N8uwYu2rZJ+RSnqAvZFKeqS0YQ4ciLSAAmSRGHaeI4UdYDQSIIIhWWnE2Zpphps+qoEQaCDhQ2OMlBSO8YZLMRJCD0IoC4ToCaZLMd3l2jA2ZJ5yRWUmVH2s1PDsm65lSotFYb3QrEioZFs4KCiQ0E6bi3JlxsSBODvcJmWcyjCAOrDeDsJZqAvLBzO9HTBAkyaYHDwYgRaFI611DtViy0EJSsM2mo1jAzCjPNqsVq5C1oZ3C3qh6cMP9wO3u9sY2CP1rOZgK7ZXe1TWaAUm7zoY0uObIDPewMEtVPiTTItjjs2AeikxRhljNnCOeYZXhcakNkYk/hDDpHBj+AGAgO08LJdyCVrWqOnY3hEeUerAcYEDNVuvovmDkXGRLHSOzWAq455Rd1mw2m9gdgojIJefZixh0oHleIxmblw5isrLoWGab91TgFLqKMfeCUlxA2cFiOQeCLQjWPk4hUWnkXtcNf5SUJXVN9rfRaWpjcP8IHLipG5RepDrqQ+2o9cNlwCEJ2bRUAWDAGAPt+0RQdxgkSjrCAH5SZOesqmTkK+fXVKIRqjBHRrwLyQOcVq2ishUlC84YpbQfvbphr200dTakidGoqPzFecYugErR8eFBWKzAn06YjbSmUQW3D3yeipCrWWLfun4oKXSCFdSJOXsJ8326tLDHKqHwWRjmqQnFag/2NmC1fyu4TYUAEiwNJkNLyjg2yJVloXofT2bKuvGOgWyfC73t9p3kT0maBIIOIhzh0WgsrhZBGvOlQA/hiB2OeMIubYDTE+/sVldlbvZjamW7fjgUegt/B15dXEFeP7UhnTit2MJxbL10Zq/XcMhwWGifdbSC+58YqEFgw9HMelNvaef9KENRxvnx4pb1y5yFmYJW7Cc2hbPBc6pSgrPApnMCPjaZwF2CcqNIz3WzDYdjqntNlxcztihF/o+P91UOJ9Di80O0bRXLdhCFmhPEuW5WfQo1BO7D0aENKIWWCvbd8aFK+CBbfD/omoJIAmxKLBrtUAhEMM6GA/KZ4dph1yjzHxLMsb/TVAgQcQLl73cl0R/JxuN3nGQ/kR2CT6NORVqXEdGbawpJyoFJ1oh0DqYi6KvzsUfS7cMhT5uu/CzXKxuMEHlCYAT2OxxAIktF/OHYYFyIuHsTJLqZneIzOjhkBQh9idlGpyZiJEx0CKDiksyVATG449g5COfbZatWmQI7liMFioTZj5FGmwQ+xiyBLc5hhvQl3qPKMk56I7J3VUucL/V69t1mtSI0kqCKzAmCE1nmPmWPkImtpuAhlPAaxDYPcvgdcBO6SGrzBB8kQFz1uZ4EiAbTYdnA8F7ONznUtIS5kiOGiyCGAw3aAqhBJkWkPXLwRNeIciclIcojDLyjF54uGRAB+B8YeXEBNEvEWd9FiQkhWmZWZ2hUnbZVZia4qFomV6wZJvLuPi9IZSY9WfgzMxHg+Cz//Z17tg8fAK2JetEmc7iaLIjr5WfAM7xJ0Rdi8at1DybJtgWdgkKMY5V9BDWTbVHy4ooS174gIGNiLkZagRpKqqPUibHzw8YzKKQzjRPAINe56QXKSKGlMQiUc14o22hSchhJdIkOHe4pz7MUly1FLwWshT2F7DccGy5eWSU6M/4slKvzFiH1dNRmS3oes6FzN3yyL8FfaAGGm04SlWww2I6ylGoMvKNtNzAocmqpTjz44HNR37eMq5PMgyAChRFk0UAZPwYX/guCVBMCLe6HKDixFUBmKi7MJRXZyPkqnEdKD/zBKUF0xhndG3kJDV0ZnN1mi/JKUQgTe1oTsGl9DHzmiLg3R951BaH0m1fWhKhoGqyGjxXstY2GnjXo2ZXVlrhglCFRhGVP8dyurjfVNo/D//adQwUYICt0McANgAtA1ovDkvR+6m32lMhwFo50eBceBMmtVt2iIFUJjz0NiVh6M3ATkD1nLH0Vcur9SbvFcmqVsGgfdQc2HM+8zdi3ihIOSdKLiOn6GFFSsPV2SYEOk8Rpyec1sQ04cFdWJchCIh2HSmBltjuk3ZlZWWXtL1pHW9U1KZNyn8jmca50L6n8BKIG2tMbKdjBuWtPIIJnTPN27Y1Oo6hS2O4gEg8MYUj+/WIH3RHK1JFem/vJBwMdwXFWqgWbHaQ2QkEWVLVQ8GYAc6QK0T5sIBIKJGeUyZIiqN1Y7w93RgKGnEESuWk2F6pkt9QejxgYHT0la71WsR+aBwiSqYdzUSyKSE+iSuB5Y2+sskad0vgssNVmUWUUoe2obafo9UQi02JvmEFGUC55gdiE/hHokbSBwteLoMFewlOXZ3fi4xSYyFst+8T12UxlsstrEGVLdu2wr2GhR1XGPARC4NRCH6dqPBh3Ig2tfHe3r70M/xDkkb3h6toupQBij72C8IsfyAQAP+31SgYjRH/fvUUtNZRgzQiJXoxWEUYx8uUjmh0kTLZRh8yJJPRYB0qR7FxDAHKjlE8ZzzxLJfaEgifwPw9VKEGaGmEMBgfNB4yaZInnPfj8HBA/kX8DMSOVOxObBUTFgW21604Ym4Wq11PfJ2MvtZm/geYJBp6MKLF73ZFaYPla9drhRDwGzUpR2cO1EwrzQAlRNgwfWRqOREJbUAE064Pabdm2NGvHZ9eQSQ4jkBCzcgiMRAtwoFkYBC1E68mMz+elH2X9ZXQ9YtsfRLZzOPJOijkCwC3nezgQfpc4B7ifw5qpC+L0cFJOTvNIBIc2EwCVWjxv3VRm0ihaIS0qu8QAqT0vxLl65xJdM/BUKJeId0I3kdv/BxYOluCHayDoClLEmjzYxJzd7Y+VLUVxZAPQhQhBLC/fydwhVy9EyF+P16k7r06fOwSZC1LdOwUD48jGKCjOzz9+h/o7Rk3YCl1a1ITVag6pl4FbFevUyXBmIivj3QlM5sKkTmCef5bqXAq+FMTqxqKjalAFnvbvZ2PJMXwEVBhI7hO/BIegUCz5wLveVA6YZyE0JBvQlpg1ePbzkt8KX6TudEW6bdcUkAwonbkitRYT5SE2gppRS2eaMGdBNW3a2js+sRXnqlk8Iy8HUae/F82MZjTNRaIDCT4S95MsuDuVABpZKZwrCJIgIpQmICB+uNe3Bu3E3KcYMTl3hKATXDNdaPv9yH7n+oG3szYqLtqXhspG6YKZhQzKrCowIQm42kYYzeXqm0irk5EWkHT30Q9cH3sddAgnKDE2WkfnZEYNmmSvz0AZ4THFtl6Ch8H8EjJqR2+59xkPgK4U7gWkRTpnIGwy1JJsF/5Vo1KV44Xrwu7l9VFDBs09GvF5TPcV550mZetbqGGaXPss8vbtrAsIBwbis9ZCy4RRAa5qq2nPxYmlu6ntHFFqgAjp051J2NIuc3NcD2VrpWbfuLSiM/2dO4cSg6P8wDPi+jkLlBjQxuC9GXwISsveDIe0GpdtrVSwMKU84ZPQpeScmLqDKHPApcGZYuM/3h1L40no7nxeDSUO2mrhvahdOCGQoM0W7gXiCW4jydJA1hBU3B2NNTTynTsu2HiDDsMUteqaCKy1knei0MVEYMaecol8tERAFiN7995Q2kPYnitrdfvalVUpDXOeKKHPYpCMsspeH98bKADi7OEXQK62V2sq6XG+QO/3GJhKR1GFDiFT8wMfkK7DFk0Da3QYRfb2wYGQIxS3Ue++zZlp1Wx6b6YSDcgrQf/WKkNCa/oeZc3nsV7JYISMHphPpYdW1bordWXnGDvanKhpF+aDymCUN8W2B4pjgBocCkdHOABfOt9UFqMI+mAkQij7AsdIeYNSBTVTEBJ4ILTjUjFpVkq23WS+S8kqRTJ+DGmsUgnRLD3zb5xr2+tbDWWiGGX4KDNEziQfDCToXTkYNKTPaWvbIuuaQ69kQrS2Eu1vdXxwn45D6kOxHAmiruxzbIjkJaeMI4NfgugacvnUSXGMKU4BYpSTJqW9ZqnNcJCiYaBdgZP2TI3YgeCGAARxN4wxzqiB2uEcQcE34RBnOP+i2QzUHT2LJi2O3EOfawLxih58sl/4EIiAKfkKU7HX1WWAA6sVrJRQVuJ5QuRzNKJeLOo9Ceak5Blh+P0a5zGDMUR8mgUjiVkzMPET+D1lvygyzmCex+IJYaQ7JbNuTHcNQ6iAxs26w1QdOllAVZyXMTAkZLES3mpUFcxmk3IZTkcwoZhlriMAzRJHBiTPcyPjIWBE64JxBT/2+rrtDer2rZs9Qa8x9wW0Z/4ZssXrUTbsFWJ7+15PGRnI22zmHSQ8BO49fxS0zCXBOQO0Z16gTTCNpd8AqVjiaIln7iWoPnQ/geaUuV8ldYXUxO4HPXMiJzdD9ytNeGvdA+l9dGpysjhQfrZe47kzCZrW08Cu709FlgaZwfhXS1W7tEY3GbwAJvE6aoLzYT9ChpbODATpxKWtm5WqHY7GShiAuw9uHkm7hUCmkDaEDuI8CPzblAc0WdZLKnRhsXh9HB2dJbwvpQ/aJJlqyywnBgLiSNhXjKbHSV/bg+uC+BZlRnR6KGf4nsRpEehQqiQo6U5ie3OrZbcO6ChzXszltbocELwOPiPZMYkDXRx8RrLolfqaHCfPHHsmdc8JeEFRHTa0vxLwwTcgaAGl4SxnEvWUQJsx08Fj20xR761aFEXSBAoid4YEvsyB+pGrq/os6gASGggJd6pzyv0hSJcirThdrvGCZ4e0C48LTg3ZOdNwGYSJUyd4gggKkkRZ/OqFFe137B3Ocb1Bo0FozXrJ3tpuq1R5D/G9PYjQLjbZYS4LhzwL0ObKr5TZsBtM/qYFl8Uz7I1rtt2GSwEZ1wPu/ixWRxO/zH0k8PKyWGpd9FCixN476lunX5avoLWa7/Ne3Nf6fN4RAcAKRGO0O+YzbCTEiOhZGZVfeIGRECEQurfvdIWIrNTLel/+W7O4ygWhHQQy6uyRxhTPHfvsQRQIHMKarmyNtDxlLJd3J5mho5MzK4SWgYq9ib15riU7TMmJxVkTutX34ZRqRnpO65UMRjQpsUqN2a0/MDCM9nbKAYPghEEH/fAOFFqpqoWKNepVKeCRXWFYqX3Cn4AFT1pYYbOlsKrZ0IEOFzV5yigYByJ8om4Mh2DwtKysDhImBorMGDSEbCdJ5+13ARmNy/XWg8D6adk2qSPMpagLNZMz7ooti2Oljlq0SuzDtiABsmk5aC41PhMKkclZi0U9nzpKayz2A9i9BkGmYGKEoz9CYLLOIL00sB7CP0O6bXyODJkhAUwF4TL+nr8+hvBoDK8EfgGojkP5ODzeh/8WUkMmXr0P8ScED5ppUhZfJirEdq7TlKAPhxO7U01KFvZ9mGA2TZPX1zTMZtVnMDAMqpQqoKR0o/o5m77sgUE0fxaUrBQQzUs0dZAal4ARL4dohPILBkWlC7UEuuw6A/rgYrh9AKVyx5AFIfPGGz1fSIJ8rmajbCV4I8nMIinoontDF8zM+TBFhtEVbcpAtIITKSnTUSPXgC7uUyWQIjDBIronb+/07bA/tbjgcy7oceDSCX6y4A9uEs8FSJ4SZUZozoIV2pFBayjT4TxAz/gbsiwy+aV20eL+WJ1YOMWAwX7Mn2lyforSicBZgRgAQ4NwXIewPZprk0hcKrBymZbMQKRDnBadK0D11Kjudn00AXyIwcTFxzgfIBlk6ThWUC32ZW8c23qMLLzLjJMpU0bqlEq20WoooGCqLAMpcXAYaMoqiP9tt2t2ab3pIwMKBQUFtIl7QkILLKMaCnZrf2gbq76f4G4c9BE+K6hNHHRgp99TtwktluxByJLVUkt7hM1NsgOyScskLbNfvrCiz3uny9ygis6CSPFRaq16STLpPGvuI/wKDWDr1FQaAGX5YGdgA1rLtTdj+/atA5U0b3bRJqpqCjkCYuwBgjwiP8oPEDIh7aPQSqccNmIdlEdaFjNbqxEYkvjQtl2SKidnl+cGSZ/yDtdO+YR7DQLVD6vinXD+QY6KQdGGIYJ3oMChHU0pazJLpqbnF8fOx3v/Xtfa1aqttSv2Q5VVu8a8IaF+BYmzYU6xA5TFQAe5v82ql50oQ1GCee1cU+ecgAgJBB/S6Pbh2mSo8hqhAmUybJzE6EBQ5+fRCaDO8SAgBo1m6i/cGoJE6ScdQfr0M0AiCOJC2fHSWkt2m0CdwYRXN5Hcr9kkjuzmXiIOlowRPqBWUsdjq1S2SjUQUZqZRahSf26zLQL0+aKrYRO0SYuqwtljfozbHEqXBBBpCr8FSQkXMVOr8CqjFeARxnZhFU2Vgr2309OZuLHvSs8iC8NjlJAfuleU+H1ie2kT4iqKsD4mxOXon4/w2SsZjBBIfPXSmtQRYUiz4UAjyPYwhHA6GL9OFohHpr/d6oEyT9jUOEkMCZk3zo9D1htTY3TlVTJGNpGjCYGttauucTEY23q7JieAAUIOXpEssr3zIUxsMjo8IKA2aZ/tT+3NzZYcKlkfjg/tDjLLQqlkq+rtjyUshZORsQ5BFgr2pfMryhhuH7kmyWvVxrG+Bw6M6J2ZKpQBOKwZRMnHHoxij8jj1DZWveUxm3pJ9s+BJesETh5OkWAH7UF0yjMKrpfXhBwqrZDqvLsIcuZs3kZbcseLQimTgWkLBWLh0DjP3cfaX2g1VOaC5DhUDpeqTCI9ErJzSK5lBryRnZRts0kWOJOcO9OPKwUnjEq4DfJv4JmQKgZzoqnmIc5JpAqI5oRYEBLqRvAwOtXAUnUzEOAx3ydQMKJsPHISLz/uMkf3SxGSQ0diWgPAXMytSIvoXOEXIzSfx6gugHoxsCLGoUYnSEVoGoRiym0+ydi5DQTUH+73hRZB2Ly00rR7g6n1RxNljGREBIk8U9pz6SyikwKSb2kWWrlEJk+w44Egl0NZjUwdBwB6g7FslEoaAYBuB9yMJKbTI7FiuSRomQW0zx5HF4Pnl87PzfmO98HvMl6d1637LBCCLDgsBMKAD7zO+/cGuhdqRUQPo1iwL1/o6LzgSPh99kN3BNfDhwWijwMqSLmBoB0UTUJwIUGFz6RpVMiIvWsIJ8zEY0jEXCt7FWVUbAJBy//ru3dkF7jX6Gjc7o0VYOKIXIob9eOSPluxVdU8q89tdzyrJIhEEwfHGBNQOC8JHgTiUr15V1Nh4okEP4d6LT/LlFvKkx/u0TnmCCzPCRE3kor+bl9TebEbcJKOBgibRTaMGFEAuTSWYBgO/KsXV4XkUhqDb0AmznvQxgkvhf8mUCcJgzt1YxjZep3kwYcaci10FtEai7NnuBu6QTxjnhfJHPfrcFiy662RFcagP4jUjbXfeIYX1pr25haIbEXIB5woDQEd+KwgJOFBncQzEqJRULlECrFhrL30/l5f10c5QtL58UxBHByab1xeF/mXZLDCSI8YZGNg7+8NhKZixDStW4lGYsXAEVsOHPuL4wYxe32OwCEAmc5LoGjPUCa5fjC0WgVV1JKNUx9VEBcqCgwpD7EPLq6uaW+AdLx7ty+it+i6GpZXsTc3OxYUuva/Pz6wo67PM2PCdBRDNPWkFsRsHLkUPC3NUVwWN4Qgg+4akG8CWlAXjSkgMQ0T60c+EFIT0ds1e2uzLfIsCEp3iowDwReCa3R7RpJtICBnrpcmkUdTBUfsqe2yz6sBzXoe5FXZEHtFF86NSB/jBVEIFMK7XsLj2SKrlEo224IUaWkDPSDwwJgCdV8/GCvylkcpUDZAFbBqW3PyEocK2BRyljQU1EWAII7Ui2REGVX/lfMd1bGBYnktKF8UbvqQ2ETioz5akT4FDHxIsCSSGCPVyssMTHKlQJzA5fWifeXC6rzFLtVmpoMH6Bik5FaPqbDeE8+pBDHAwGy0XBkymjvoEUFWGNn6rKouAQioQPHS6yi58eJ14SBQVqJ88HqLkhYdMlMpkQqSVudEQdwZdbxUC9aaowdyKmK0Q4ijBbPkmgdzmBfWPwdyrVax8VZi94ZjiYxheNdbtJo6h0Tlj0rFLkqrBIPobXE4IwKx7ZJ3pHB4KSuUIdzNeSEYLJywHqOmknrQpK6QMkRPjxQKIGpF5nY4Ca8Y4EiRUS9YF+LlPBiBy5DlFTjPH7q8qpIQqqY8L5ACJ+IRBKG14QEQmQkcgThmHpJrhqhMRVsqQnV0V9UhM5qIhUDblHZw6hNQJkuk+7BWRTZ84oZLIWdgAZOfZfRAG8iEAgtm3knF5xQdR0GJk/bInshcUVKl/EUWSpmI369UTHsHxAuEiHZhPtdGnfIigbqLJnENaq9GxVRy2DNllMowq2X74nZbsDR8rI93B5r/hEKvBnnNUmXWVy2wH31tVRyL6RSl0orKRCAHInmC+sSx1GEhGhNIYMRdaZMzXLLtlarOFnsZXgBZMQgf0DgDC7k/LhXuMvQoglZLqGe6nbjQqWsPqasOtFCGvWSvrTRts1mX44DzknXa8FokAWEvsZtdRjGM9Z6BTRRgQfB8Y7PhLfqUSesETCWJlvGeF9dq+rw4cQUtmvzNUMlQPDfuMeq1kEl5vpwhgkkfaxF5sMC4imrZtkRG5Hw5y/hip673ZSYVn+Hj3aGShsNxwa4G3paLJgj2S/NhJI7lQmSU0pA8Z99I2LBRsa9fXrPfvrYvcnhvUrCtGlwViJJ1oSGQJEHy6Cri2SlQRFE38jIq5TFUeymnMIeLM3DjkJIKlixQyQlxunVad9fqPp17EkoQjTIZSM6XtleUXGBrOeM4YXgh4JygetJCmbfSUlYmcMVuEVSgsAuqADIACnSnN1I5hd9DxdQ7xkBGkWdP7MIqIyVIfFzanaGp3L+9vsvYwx1hrzCZmTlW4n+1NoVMv7c7lFAjNmM6g6Q9kbghQ/TKAWcOlVZKipGNwkDoHa9J0Lh6MBKHaVfJHiRtl+cXNwUiL8MlpXY9s6vrLZFrIeeylwkCmbQObwoiL3abBJf7fhQOFGyPZ/f3UCaP/2mvVzYYyeZPUDdWPRtugKy3S6YTBWM0f9/n1qU+ihAY6evhEHSE8kAkj9UfMYDNZYZ5DWrm8DG2QBImM6vXKqrdKoJFBCmcCVpHQp72OwwHyMmlmROmfIKtQ+Y+Z4BML7Figj7ATBl2pV60ewOGX/mcFmq2l9aaLl6GxHqjLGcjOeVSoGzm6qSpTU40HWgEPcRM6u4VG41TCxqUMigHxBb54FlDVkQwsmS3q4JchVDQCklHTxPFVm8trgEpjyNpY1zdqNoHe2SGTkigBECbGoetU4VbUbVWo6CpxYztBj7GAHLdGEucIMESCAL3Sv37JbOOVB4dIqX2zb1D2Aq0iszZ1VarVhMRraGDCPxPjRkVVDp4CKRQF8VA0nFCACpJ+JnZ+dXycesy6BJlCshckFPHdHzUynZ1o2NdkIcIldlAhFB0AGgnTpKhWrPpiBIPRGQxgiGMl09kVutfOJM2As8FiLhVZyAjRMjIKiEcIoafMZV5Yq1yRe9PUEXgizw8QS1OmA4kgrxtBVxTScKj24IGRZgAJzfkcEHGJNAWUM4i0OR6ucjIydKYbWpIPO/5GfDhcaBeTKStyuAB65MlgjoBy/OaPD+IemTbd0aROmVchbKkbPr9ZGgJE6CFnhRtpVpUCYZgNxv016lWhRAg3Efj8YVGU2JtBBjcc3WqwB+4ULU3NlFpHdnh0H+HPf2aSht0pVTta5dLQiGqpbIyvIsQNoPA7rRGNjxATI6eNXOBMTL4Qn2eiDRc2wTJ8KKr2dI9RdsvTmq/jyCcq7IS+PK+YTTUe6IqiiOkxJLJeYMaksl+73ZXQSSOA3tD2/1btGrBaxhM1BlEADVJQENDIVGcd6Fsc0Jrb+ziWkTekmcvOaK50oZrE9o1NDEqKDXDhxrbf/n+XZ0Fwf1zIi0JFpwCHO+lFQTGzN7b6escw3+AQ4fQ2nbLB+1xxpgm/eHe0O7MGKngpbVzw9DePNdWkpPJqXeHU7vXC+0L5zvq6GDPcT43G1V9RinTwolQxA+vx+3CcBDLluLMsTvcX4Jx3ou8jNZ5bDKk2O/1aCl2TQ1E5IqFkZRQkxGlMp/5pInnk5kIoaQPBFPsDbqWQOKiTVq/CRhdbp1FQKvuF2Mabv24RZYumEqprdKQymKSSIjtfKepUqvsMEgR+7zhOiMEZojv8dxd+gH0D8Gzqv0/v3bRVj/ac6Iqbb19nvvY6pWGyps1gtcosbuRi9uxX0hkpLLLLB0I+AZZ2cUoSTZfp/liFktQ71ZvrNZpXmM7hgBfFqr6+QsddeZwj0k8GA7JtXdacNZAmZvSRiG5BDXkruSiZ5/y4iBhNMn69kcTwdvAtNR6CRSQIL+8DnsZifexj7avuvodssjoLFDS6YWo5cWqtZNFUvuke4FshY1IxE1ETs3x97+xLqdDZM1Ia6/7Ib8twQVtYLJklEU5nIXYvzdBdGyWKNvAmQJlsmGJjqXXGaOU6sEKhwz57qaQlKkyjoqyIh+mhmGipq/DX0BauGrTRlVQOiOw5ZjpPpkDPtIWYDZPgjN1ljyZL+UaJq62a5DdEAfyFkE+yoW1lt08IhOqWSEI7VDaCc4NkRwL83CGZJ9m2+2K1eoVoRNk3aAHGJPPbXXszc0VaT9gfIEgOYzMpeC+r3CYIO2WArtQrwv9UTmN7o5ZbG/UKnLKIBs7TNMVAlC0MjMYKA0ZbcMgTEUrodHAfa+UxSlorBbtYIJIWkGZOkETnAgEuGiDK5dr1hswI4eMEh4OXBSIzj6mHaia/UApYK3lYlhkQv0+DpBhZF6W0jgAyhnVqso0B9ToK7E4FQntv/NpuKSllFCA5ldrkElT3U8+BLMyEKN6Z8dLjGSl9UpdRp5fJYunXRfYmzZybw92pcbXOxWVmOAw8IxFSC6gOErQ5kRLm2N1OGcy7DvdyHaOhl5qk44NgeacoNgoiVxHFsg+FGFVpYZI+AxO3bUfmCAMglCyrY2aSmnrhyV9Pjo96GbD6b+22VI75TrTeSvU0GsufldGiGp6rIWy0Wwp2OfrGAO7zvgGptJWtRcIuPj87fMVlTG5fyjXwikhcYDfwHlif76+2bA7R1PbH9DhZvbWuZbe+/2dvp4BiJHk5Sk5jD14WGlwHkDKEPXys0Zmye/iOH1Qmotr8bkQCfvND3Ztv4cgGtkrKOtQpTSSGUqRnK9iMdVcnG4vVHJElpxAqDLnFG1tta1TmwqCJygne28UCHhnts65KpG0THy2Fc9fsvQ+cZxAGSeFvD1JUjPx9nJk9HmOOEMyf54NZTKy/SZKsYOpvbbZdOG/+ee8sNK0rfbAuXcM4CwXrdMsK5HAUbcqjjIxfZvuFMpXaIVQCt9eaekcQArH9kF0v7LaEafuY+5pQrdK0e6Ox/bupGe7g4mSk/V6zTZXympVpbTBeIt3d8cKmJgTxfuhVUKwWC57VyJJJgMRSZ44C5xtbOb5al2lXxAqAjHQF+wYScleatJ6eetcRwkawSSILQkUe4GVTd8lWcC2ExwtTt9lT1BaQ2wMJGc0jkUcZr4Sdgj78J4CQ++qQWwNVIiBgnw2bDYoI4japRUvMRLQVEnsaiXbXuP6vcWfYEpaTSrd1oR0cf8g2fKsGSNByXkWT+0OtIA+U6YCO9+pClFkpk4uevYpLx4wG4V+awz6aj22o4q3zCFoBLwLDyNJfIAekr0SWKKvvQKjOra9UapsHSdNTZI2YWrwlBDANDC8bA4eLjVlholdqJc1gwOYlYj4O7cO7Vs3j+Q4vnp+1d4Drh5HcvrbZD8NDGjFJqAiiHlpLsjMWs2KvXW+422Ak1BQmwatUU+seo2TTQhpEcY/xoWsZzAZ2LnVmspM1IAx9IhqMaiu1ahYB0Ey6jRzRQ8MNAPgiLhp74XAh3jQldW6XVl1Yiylq5La/SK1uQ5CJ3V2Y4f3s25OOCFqU4VLEyDv7VLsgwgNCG+XJqInY0YemVr1VzY6bkgZ8MZsHBxpoSgH+tFuzyYR2bZrHtCqhi5Ho1YR2Y9ggaxigPpqCbIkBs87f0QRCbwlD4fUnvNwgHlVpqsVNW+Fe4ToGQYCBcmDiQ8hEydgPk8mRDFOnUSgDR6oAvNuNEBaIEyia1KRpPXRcKJZGhfrdbuxB9SM0mPZ6nBeID5Xi7bZqQv2pguAWUTwmSAagnThBJCHr2FwUrpNhnari6y3d0dAXtQ48IkLQw3hNc1mVlBGT5CTGCP7MLqTGWJIPlE4nXf0EGQg6w+ihkODYMpMIUpaGDYM/G0Rcn0qbTFgku7EWjWQKZfDx5FQ2399qy6ZboIhVCv3uqG3vEPWg8g3HdvFlTVrpUyXrtpaM7bNlZp0eiitACV/9fKqgnSy62ywHPOSnAODpgT7yomtHyCb7bUpOee9eRbJnhGKCImPoJ2JsD1mA1GW9PkfQNdk3ZASg3QsB48NAJFKC16S4Px75xyk0JILl9F1xfh3EMXkwfkzmosiztZYQlqgMefbM3utP9WZVIkXfhVBxqHzW/gtzsfFdtXe2FqxD/e7SiiA2EEWeQ+SEPgkJExXN0r24QwCqM8zYW4RwcV+rWzbq7Tw0p8XyJkSJJCtg5awfwgkQUrSWWzXu2i3gBTUlSQ16y6pX6EU2SqIGEtigsNjZcPmVJqqFuwrF1dc3r5E1x4k1rpQLFBAXgcOBjozoB7Y3b3SRB0g/CFQ2O4E6upjb1DyqscMMxxrMOOYkjcyBrx/mlq35PPCvllZV3s9Ld13RhMF4JdWaE+t6jo4VwQ3hwNvRMB+EQxSsqCLDT4eNibrRCLJg+fBmQZlZG+hWwLCiBgZz4aOSbp42FN0p2im1Rxp4Zo0LHBh+i5+hvvEZ+YewAEi0CkTeNEBVi4oePn4AMKta8rAg/r4cKDAWBPOmcwLr6dV1XupFTxO9EzgpkguAS2VFUcBCVRIECCXM/LBeSNoiTCsdCa6AXo73dFMHCiei2zaLNW0cioCuejZp7yUVXcaanHFcbGhOBwQmmjrJYO+utmRpsFo3jYFRNCim2BatAoGpePENjIaIlZ6znf63oIKp4MQnfkEHEocWL1EJwLO3eub1BDJ3l2ePLWL6zWrdSE9wktwUih1bJwimSU1YZxokKSaVkkEPY08Iv/+XZwzhEEvO1TrDGhDSwSCaSKYE1iXz8rn9rKJyx3LSJUwUmUrB/Ap6D4hKyqoLZbvkw0yIG42C6xfx+EgisQR8lY4ZM+3Og0RRrk27idtwcD7BFIYAAwh6ADlGgInnAbZrAjDVHTnct8H5cg+2mcmA0HgobJKSgt3BxMdFGrl1H4vrtA1wLA6H9gHrJvS8jdvS6bNkjr1nf7oONig/u1IjItu4UwQgZIAWjq/D/AwbKYSi6SlMVFFs5v3hlYIqKnC2WAiS6rSlDp6MN6VitXKiaY6UzKjRMI9Z0+pfVsCc/CHSkIH8P5+r70Zl0CCQXNHyM9Tr6ZbAWbjvONnfzRVGYIghwCT/Uotn/11rkUW5kacGn29kOo+wFfx9tmJeBQ8G2bR0DFAlgcZt1z0fcGgOPgUPK+jfmjXbWg3ut6B9iVIqnQHNKsyxBwHHBEOAELi+wMMLcP9mHjK50hUoriwUhbiQZAH+oFBZOoye+m3rx1ILAoH9JVaRwRvOlC4J0hcEwSwj24dDezD3aFaSeE8EBwzOgFiLYE88PXv3jgUGnn1HCU618GgHZTfJwOFL0UwD+rATCQQAox2Gpfst68f2B/50nmhGLTus7rT2H77+r6yb4JhzvS9/sDqFbQYSlaZoVviDthVQn0WDZ+P1wEGpwzF+aUk1CgWVKf/L+/c0XVyUTgrSd3PRba4JpBHHA+BJUEfnSyUphDwohyJMigkbdCoG92RdDd4H8o0ZPeodO5oAjFidezHkr5PWc0Hx/m4+i+R/Nzr2ruHPkzw4kZToycIRM911lxwC2JpreKOc55tgyZT0sHxcT5BO9i3OD3u+3anqmvm82iGjrhflDLoAEIq36dTk2RQmiGI0VyUqGx1oZU+IZ2zfPtwbHdQ8FWJ0RWv+UzYyrdvHwrldaKm2aVOTWimaxOlVgsC+z4DKZPU3jrXtv3hSIH3F+K2AnTOCB1MIN7iJKH2Oi5Kul3t+3RJrbfUIvy9O0fai+oiZKwEAdzhSBOxQRnZ50wgJxmlPEaZLhuImM2a4bwquFBpmfERQ/GfKLUXEe1DP2XqBP4V9A1A2hANlMaNl7qJBZUCiWyP1IDPOeK6QM+8LMs4AaY219VdBhq02xspycb6MPhRc7Dm+47Ei9fHtvA8CJxy0bNPeTl5dWD/v/d21fqGMBciUihTktmW4kClC0hgOLJJGtswpMxRcIcATI6iHvMIGFaUpiIaStlTwlpOHhpWZvZWfUXvudIsij39/r0d22HcOpondLJQouhPpR+BERgN0YBIxWrX9aCbQKBQDOxHLq+rxswQqs9vtyxlUFfk5Z+tFuSz0CaSPa/rZzCut4+GcowaxX440aG4GDf1ORFAwpncPRjLWKDI6doLtK/BjKTWTTbug9c6jbqcISTGi2tNOTX4MhgkCTr1QutBXkW3Q10jkBQjqxZBGgIRwphdg8gbTgUtFlqZJ3Fot0FTWlUrFBjrTeQOoQylx9Bu7TMJGZ4GdXzP/l/faFi9VrKD/ljGmMIHom1E+ZMQKXGfs6HACsn7eRlKAnDzfQABGPIsjhx1x2oBkqNPMeVGvH9vpJ9/i3vNHB7Gq49goYOU2TEypq6dCiUURKOcMAlH4zCh/OBzXoC7CShBHBw2RczM584A81M+IKjEsGhKLRmOWn9p80skPEbZiX1CtofuC9wMCTrFsbIsDA31crLIctE7peDLqFNM3SwQogliaZn0FvBisWY73aGCVp4bHB26uvrzyb8XVlv23ZtHcmwbnaqCFT4DwewueikgdFM6G8jiEZybyCECQX+wW1Q7JoFdq+rcLLgIkJLJ1sbxzDbrtHpCtKY9dqbsDuIyzp2z+c6dnr19t69SDOeHIPaQycKUjCIIrHXdM4LWd2/3JXZFoMH+plMNVO0bV9YVMAZ7fcH0TKkmiMBg73Zn9vbdrlBH4kKyYZ4JEtlcC4gJgQGOkvMJEkeQi4OHH4GENmf9dz4+UMmXZwJagzNCaRmF2QnDCgmSBrF99VJTTub20cB2e6iQFo15gQgVMmcK9INs/Y2tlspcIIU8TwkVRpGtpmWbTELpAeHQCN7RpijQZQWpV3OjCrbV8ez5+3eOFCjyWUDXbhyOhBq9vg6BEy0NFIUTo3AA4kaJgVH1OGjX7mDPeC/+//edHdkPbJFGNPgURe0bEqXtdl3PDKdGIMYzAUG91x+pq4l7xnMFbXxtvaVkhW4UUGrxTPoTnff9bmhFCOQkiUjyF0vihUhBuU5XGdPTi1IPhe+A+CRlFNAh+GeS4O+SvJjtN7EpDB+d2u9eP1QQcm6lpuCJfUJCimbNu3s9ob/YSfRQUOrlOfJa3IMP7g3tcDLRUFRKQyQUIGrso2IBifepbZdqx5OBOZfeqQW/Ct0qiP4FlekJrPeGKMTS7m5WSEqyWeyHdL0h1JRWc4IN+IeEknT/0OlGuf43vn9XnCre/3yrJm4ce1CdQmNGDTiqtns0tu/d7Qoxxw7V5+U2fAY2XKrA1XlbfqPyXMirrzSBlQ3OhuFwcNjJ+jkQGpY2DdVeRyQJQbU/gXlelMMsFFwvAQexsVLTz2iWh9oUCQpw2JGFIUJMZN1E6oHY318631Kr6+3+yO4ewGgPbTqNvN01ZQQ7xFVaXJ3NHsqZhnpvhJsoa1D2OKAm3HSFP5QEcY5IEkPW3B2OJf1LWgQhj0wCw0PbmVjj4nUUtLmZKdGvMEU3sSPaZqNQ5FlaK8pzXQqMzTAMdWAKqbeckEUfDJGMdx0ToFsRpJJUCAlGlsAoRLVU01Vpw51ZN3KtDQTB2O58ZrICFkaeQ6rGlflkVKBtat4cPhyZ5lEUMTihpMbJtO6UvAQCcU3y3GRV0cyO+qnt9SHATpWBE1doBAf6DHPCKnlCreqkNldupJODib4Y/6GilnIL3ghOxOyDez3d+5jhioXUBiO/V6XCbF5D9wm3ZFw+LyLVfSwWIBeidQFnhoF0rgDLz/P8jgZkb95fzPXxPTIbjEI2TVYlv+nMDjUcK7KdmAzf1NpdqVZc12Lqqox0WnnLINdBMONkWlAfUDImxUpMBcczH/g31MRZV7sEB5OInSaKFFRP3+kORM4FwSDAImAE9aJbBC+EUeb7BYYAVkre6SD0IhIKlRTMLnYo5dWEMjIbZ4iDCJgkPLWt5tS2ViP7/Lmmuty+ctHLMzg1giifdOtzhXBwBG1Az5wVgmsGwp1brdvBHZATJqK61g37/IgAt1GWVsNgLvhF8ATSQtDAffn8+RUFVxjtve5YrZJ8RoIWeECcIQKZy2tNlaFuHowUKPzQlTVl8XBzyCrB93CWtIcybfXeaKz2b0oLdBAJxRlMJNF+72hk94Y+eI15USAkBAsMkuT8k10rMYkiDQWkcwfNDwITAkMFt6WSHBDy9zeOphZ0Avv65U2dEVAUgiZsj4Zpgt6W6HoJ5TR59Ox7ZORx9pB3CRIoP1IGhSdDIvTGZkdEb9ACghrKZK+tNjQjRyWzQlFBgxOrC/Z7tw+FWlK1rBKgF5zwy5ZHrwd7xzNkX1V7zC2ikYCywVjziAi02ZegOSgg0/FCMsW56g4pfdVt73BqjTpzaehICkSixf6SiFGunkYlG0QkYi71fgPdEXVYJfbOTl/o2+e2W2q31z1Ac2eOxIAEY5s1lydpiEPFsxlGXQ01hdSNy9+3qUrcasePAiHPoNccRe7nTs85SQRN/DdD8vjs8IR4zqSYBLQgTcUgED+OX9bQvxUn6rK3vnZpTW3MBPAkBqjUqiQ3mVk6ibRX+DzYawJjEI7+dGqjSapy5P/8eN+Dx2Hx/2bvT2Jty7K0XHCselenuvfatcLd3CPco3iRLymURIIQjeyAkGik6CGBBKJBg1rQAYQEogMNJIQESIgGTSQkhAQSCBogOgnkS8iX70FEeHhl7lbd8pS7WvVKff+c85x1t59z7rlWXHMPsxWyMPNz9tl77bXmmmOMf/zj/+3hYWELvMxQJvYyDnCrAOdB5Eg+ee+vkJHXeFDBs+GTHSqY4lvABIcWB5bikQTLnneOydx1ECKF69velh47PIxMapMQf8hy//uPj8ULYOFRgR9MItuPnQgRDyqb6W88utBDySZKkIE8V3ZOVEs6GwQEGV6RIBEQHNoA5J0kM5tmjnl+ukFMylUYwbyJJImq4NEFSchgHyAdvSwFJYuciNAXwbN1kyigBRcYXKEJwlgwDX1PYiSLZlyX54NAnDI22Ne2Lwg10lghGzBBkkAoxEATCvzbmXSBlvDehzkjcpGQJ6YtUOAU/xIOB50v7kfJ9UQxES4NgwN4ugBzOllkNmUROhEYAw6Wa3Jk7z2nXlhboqkQAicIwiDJdd4bES35tkjIzulpSDrEq60u0YcZWlmwox0jsaBzAgfqucTZzlpIpxG6KSaRMhI26RoxYouE/uBQsCRiWoHWCmqzzpMGroVT2PWfHSEVXWgqhmt1skK1lw2g91oH7j7xWlpIaeI2N1ofuKri/0ESIvXYxOxsaG2Coi/6MzkIiWSaRHqmt83Yc+JNAKVEO+H6NHayYqw8lZASImCMiy8y9HUa2/SuncEGiTgajFymLoC/qX/Py4kSFRL5Hx+vpYsSR0iTuySaBJrvzfWDzOuYVqyt2nImRyq3/p91a1uV3BtadlT9Tt0SfgNtESpukhDOBWsGmonvHy+9Pkmm8VgqXIoK1h6JA62LFF2UA/reTpsHHhJVMEkKzra0aWgFXpT4hZDsulapbBeEQhD8QXliIS5OiCtSa+T//q0H4sbA0YIXwR6COy2kV0Y2QTjOy0oo3sWmk9AVfJS6am2DH4GXHf4/3jux50xdyIk6FnG0WLtpBkbdKSQ+fL62k7Kz/UmifQXU6I2SaRtkBDqNd/PdkQsQB+6wsJnkw1v75Tf2dM0oDjAs5Bn6ztOlPcRvJsvUDv7Rydp++Gwjzhl8Cu71LzxY6DuTxILq0BoZ7EJTXVEyeLfdQaJi8OI+fraR2u7X703smeB/JvQyO5yn9nzp3IsZrUX/goR4XdG6wRaisllZCDEA8aE94aZ9UEbNVFTQLaNij5JGgZZ9jgeE17CXcj1+8BQUg3Wd6rkg+fra/tT+vx+ein+1yBzS8z8fL9Vign8H+v1kSWLqJtjuz5wUPXwq2p7vb9Zqdz1aVpZmkcUb14YmASYh4BlFGRfrApAVOFGgeB+cuKKV6UsKgI9PK1k2cH4fHHMtIcNHrs2IxQWoMO3XgdYJApdwC+dKLEB/Serh0MiQMHdqrHEaaY/ifBm1r9D8gcvmtXH6fqa4wBg/rU2ecynvQtZtWtsrU8v3Evv2w31756BVWw7kiiKK5Bu+4FeiZ6/5IJtGROg7H7tslykZtnEeGJIFKqdZ4VojwG0nF1u5srKXVEitY7a3xTb92FnTS2xmI9tnqn0eWsSpmIJpW3wjci1o+nnyPMmdmyLVDbs2AmOqWGPnnxB5FIZKi0V7SsVZoDBYaryY/iJIx7Gf/cd3gEXOa4HLIUtRRRJA5L/lbE30z7RwI57vn+B4slbwJOHQOKFHLfiOPRbxuE1OkfZm1I6eJvLljq2O7D2VgCZ+8Kbh2vUkdZ2t5SfjRL7aAlIbo4AOFYECQVLCue0VQMKDrbaMeoL8OOdirg2fjaIglR8FOK2QhKQRbxsCMENAXs2VTQA0iiodfiznp3+8lw0xlc/nfztFCfdvEBLQH3RCCIq0lO4vMntrkdvj88qebkpbrxuXQFFtoyCaOgElyd0zIiwNZfcQk1jAieG8aNcRiDkt7rm495wiSU3u1H83m05JHagJk1HefkffDfqPqkcs4TEARNqZxNAjHUzgoDMCogSKQjBnTVDVCtHgOndX10JWMZGzYA+VLAJmaFfQTiMp2ZZuzUjuL3F8ExIRzovqGOTvw+cr+594rlgvxd8tpoUyeuuVhPFavj886GBAyLO1rM1yV/xpQZ6X7jsv5M3h5MV/nVZM8ViBB/l3kvXfeEIC34vrIun3phfXiqeQZGOepyoASLyPt7Su3FQUm79aMSTFXvYXroqe1WcbJTxEFgI58D3Pn5SEZUHQiRfDVMQ3HyxERqZt8/0nF6rUgbPfe7qWBDrtQaaNfvR8qbVAu+iHz1dKUGmXOXnzzvambi1yHzBvXJa9uEm0GOTyTKuXSrVIVFRwH9k/mtYRJFcbJ3roMCs3LUKLAeVPWjUP1e6gNef4WJBFSWr4E/YFvveHx1s7nIVpG/g/VO6t7c9xss6FvDLFAyLnjDBx6q1tkm8VJCEJ00ZEA4l1Dmp5b8/sNz4mAYX8Tvslsfox65IJwD1xWAi0tE95L1p4oFROGbQQgvzDZyuvh5IKbaVFuW1Q5K3VBub+83sSQZAmec8cw1tBvbq3r6Wo1JIgkHRd2OPT0lLUp6fuvkm9FbXoyhG7ae0tCiaWTJLzJCo/eLpU6xfBR+ucBgrXmyKBe4aOB9IMLcT3WaEJOrVQGvh7uUfVHbGVNiHoGDwR1nXwGfvGAywHnEM1CBXIKG2qU4YEaC0jq3+xtSHmeUSxtXOj7LQlN/DvUvugYWiA+0wMceJuPLOZTEMbTWmxFzF2D+oDB04JEl5aKBGjkwIR3g9ygETBC+L5gfcSSQXq9R9f2jaNewCW9puPV1rUx85nyPbRASNo9WZPLxjFA5GASAS6gS/AIMtoKvQuHexHx1s7mtG/b62kvaMkwimxQmY6w5K9Rg9hY8va9XHZOErgY6o5bNE5H3Blq9X2gVDJAyMDPBKKFptwRrKWGhlFnRNYjYVYRa09O1/Z0z3cGJ0ZHkZhp5tBD0c1kiZHIpwkoNpCaOxlAEdwpm1hXqxLCZmXhKfihxMwJWWRaRvOjuzpjLehxkiSQdB0FtbIwQNBAw/K9DFirNKJpMkDhkDkZdZpUhAoM9/KYTOW4ywMfRAeRtmyRA88MCtTdL0XJOOC8SCppaR2knOJ3ZRX5npSwpWplHtv2kPyvvGJAQ0nvhFvofbJs9IeL1FETARbIuWPODutiPPqyr9mQusF5MInrlRvVMf7ExRxC4v9hIVMz0brTU7GkAc1wdDY49NKgbyuXK/dWeK589EsE4iKl8tHlpv1yPXi+xDkQ3JJYjNE6Io4M0SJdkEF9sY4vBeXTN/Z/40mKCD6djDs8dphJNyZDzZj9VhQDY8kycqCTlDV20dlKR0V9FTWW4e6sJGQ4M7kq+OueVCjDUaEvqh2wZEE0f+cpEuJxLqyt3BzFeoV27uHE/u/ffO+ggETScDlEPSarNOUGVLtJGBfO5zrGX18urUicRo4ICB8+sE00d8R/Ggror3ARn+yrbRuUJclCEDqY4N/usbWnXN35kJwY0h0QUmabafx1zxFHyKRSywJH865rBtGakEcIeqStJEAoVmSJgRe9ge4OZRBrvDorBWqukyosDurkd7vGTclcScAOs8XiItuko+1Bv8oksVE32AnH9lmA1+ptwNavHIkr+3xhdPIIRgp2W1xBHcTJnCwvvtk6VoDFUgEWaoLUCABPKcgiSSioEncOaprCg+EFzdlLd+Uum2sSyMlCmTGIIjPtwRaR76X0FyFACLmhu454fNQTyZhY78Cw5x4V2PYSiDA7aKwhvZK76bf4MHAuWEMVT43cWJpltqmLOV2jvIy6wUeH2gd91Eu4i3od6N1hZ8QCR1F55OLWmg3Ql8I1q22cIEcsRblaMwAeQPaLt/7eGV5kQhlY2+daMoSThzJjWtPgrKRIDOpw5pCxIwLAO+E5IDrzxoTashkXx65iSZ50XDOeNVAgI81CfR0tXXTcZpCKl2bOXGfAVoGAsnmzjpQIQSSjVAdraRHF05bhutRMeHlWqsY9nHd5ikO1VOhKEwfotTKihR6biBSTon1izi+tMkIHIPvPr1Qu0PVrd+0L7zVqS4MVXbdGTIcQ9Ra7V1OVeUyype7Cph+O+/HQpS8k1T7XEBU9R3RDnCOpUjhdKkToOF1bNpAZECeDN+w6QwdiAJViXNfdaL0PNzYhA+W5a3v4Tp9DBKEpxfnYnFrA0OZE+nzUWCR+ZtfY2ngTewECwIeAZD3ZhPGlO8JjsatM0BDRr2YhCDf2+mWb+tGiCHHwchnLJPXw1uYEPg6p2KaJYNcfCXoNkoGlrQ8fCLEnshmAjl1vSFxcd9TFhsEYue35rRVOGHfgkCAebV2+h5yACYR5N75YMz3RTWU11L08B5ua7861iAdDePRIEu0Mbb2fNkrmRsfpQ+oAW0g8diwLvBe6UvJ55O3EaDHh0S//MVebty5arSYqR6PRHhF+svkhPvBRA0HOlEvJDdU0v770fag+j4fnNiT+DE735Gfr+DJbFv12klyGcmVozETW6zPHYM9grqSDNmuOxRmyZr15xnWkL8VcoPekIT5ROQ6N2SRmv09CJsP/w3NaZY5o7MfHdNbH4TAQGTk0xAEAwGk4ieIbLGWd9YrQvA0ogzHBcLwEqXNyN6kP16kImevLyA5ZvaYKpvqeEMqOFg0j53mBO8D10bCgI2tt7USYYQJz1dutJQgPMOgriGApwoyVNIIIlLckIygVPzu4UwTVPCeaNssiqkb//UeQyAKPE8PCpcUbaUN5CZ2CCK0FVFyTsranl4wneNgfQIKwQv9HhUrmHXGhQoF2sYEm4NpbO8f08ZtRZAGHaKNyogxPAxk/Dd17ZMLR97EAHSRDzZl2oMx2gqSNmsCzRuMLt1+RdtaRm6iHGUKeqy7PWnrdJYVqd2nZQthfY1+BRyGwT4+WatFANGShICCjFYLk2JqVcwzO8gymyLoF6FzUztNlF5D6EZ4hH/FA4xA15sHzhMMt2fuPUlX2/R20jQS76ItB/+F4pHzfYCj8axQEUBywsIUepZEGuEm4ZP779A5h2KehQ5BykjoCiacT1YkjL0sJiCFClmZMA6OKizDBKXWKKwvkB3Ivgw1nJ679jmoM3w9eekcTPT5JElMJcFbSX1S8aOTldAmPNJI4NgzSGRArzhxtG1I5NhPsxiLjLWSFhGIMVTs8M1KL32maL9KEl+IX2JH+xMJVeIZxTkTs+Aa8nv5ecFT+0oO/vUfgrgqYLYrODkcITAQfPrKBTmqBYh9ZJuxD0JVjXGWu9luBN9B+OqXE9ixtUFfI+4lxgM6Qs9efji5E4wi8VD7ABixG+yZ18dgHp02syByCIjeIh5FU/ZoT/Fwsur8DMG11DnXAhFzHiPH9stj/F3HAUM8C/6g4rMYeXTJA9eAccVFccW9EM+hY5LE6WjwcEqDAPdWzpW/JViqTcLINJM1Vy69YnWHz/SBL0KGvXIJnjxyCHw++xPK48dbx4fXUPNMCYlUKhHqSo+QeKSH5GRaAIW7ixYC4/jgmuLYk8a1bbm3N6ybgOyAtvDc8jnLBuIp0yXuGgno2jlPEogLn9C+sA5H59L5IE0ix3fRPwR5//uQtChZGSEqvpC/vL67h2TvPWoEYZmAImjXV7bc5+v+jqRRLSHfbgqv6a953SVqE1pgN5yLhQSRteETF/5+nkPuhLDtWgfH697KH53Ztx7OpYNAYnKvyGzQBBjiWZkC2vOLC7UahQzVkFupdFH6da7BCkAkdE1tx6e1OA0ICKJaiT8UAUiCVRDQQVFOnJcLeg9D2oiouX4WnslKwQlYnsmhJRwYpshIBoZIpGEIrqx5UBDcZklqIJ4yfUGbtu1KjaZ+7cHcsnM3YfPWval96/6eeBkA5SuJKXLNafc4Ea7llsQApJWAldt6cPLmtIlBAY5XW/vgtBWXJEshmHaSF+c6fHTKKCspMk69mb21N9FUU+/bzS0j4adb8R8IYiRPXItJ68TgGKddlYPNqkS6S6selMK9lrYw14tx5Ib2GDYGDYEbTgNj4UwmUszE0lppqkZ8LxAPNEJAipkSIlnSmHvjbBNAn0Biwvp1aIObfOOzeUBxKqedQZKmgJ9GnmfEXgghPZVZHS2eCoSzH2QBwKQPAf3JstHn/OLbC/ve4wvXdpEeB/cb3l9hs6m7HyockYFnMqrvtY5SWlpRZKeYgUrjZrByA3qOcF2r4QLqTu4DOlNMtX1kJNJbEZePl2hSDTLTY3LyZFnZEm0c0EFvz8BdYj1J1FI91sj6GH+cWm05ruG6bWW2SBw6h0gdudY412o6TWwyOPM9EmVaVY9XqFJjJsp96dR+3ptAkC6+EPJq2BO+lAc9Xx7wx6vrN0x+Nq762Kzp42OZzqHEg6DmTdUyn3iwgbFA6dGxaW29yFdIGgiuVJQETCI1xD1IlJwLnITg5UKVSMAo6NmDcgS43G/0oepV3y+cJ1VpjUYJLRMXpINpW2jX3HYEBEaOnyQko/cWakTrQAEbnxb3GVTUcn2l5SJo1CVr4tT4a8Vn89oQwMbohj7PX2POP3yndPRzgjh2PgUJ4DXnTbIUkAqSHseNcPeLJIZzU+ERJbY/Gex86C3nuu4iAXxe+H4vuU5KoHzCEVor/JskpsjN9hKvNhuSxdE/1621n7gP8GI8ARQxqnAfWDYhSQqJSLivY5Rr9wiJAXs7VfQDKcA67gEbXhY7kur47wO3hvVAQhdaP9cd9W6i4X9WjM43nCPvO+f78T39mDWKv3xfpkY2pRPuS/2EwZNzWiORzWh5ZLH4BUDLVKE8KyQT600vkTPQORRXCUbvPUUVNFVAOJqkNouc5whTaEx/kUTAZzAE0Nreqhncjsa6yOlC0IplsiIagLt7tXSoHplWgLCOw+tKjre5vbGYO18c/GQmuap/vhuutvf2Z/JKwcPnTQnOuUqcVhnCZST+OC7/ZtPZL799ILSHFmhIaGVITyLox9JJmuu2lgQ9kDpBD/IsyAXqnnwXxlFBWn7w9Nxxj9AHGpxqdL8lgWF6zVXNtKT4OW0AnGyTaSIOm/gGhmP2VDouTe9E/tDA4f1An+5PERhL5FTL57yxl2myRaPpiZMlP10TfJ3VxCTGocdxwjAiZM9k4u/j07VaB7MilwIz5FfI+hQ5oI6oPL97f0/JDxcB5GHo3fizK+icOSGEMooy0OF4NrH7IrbCbXFoBToukO5DAgUCDAdISBVEW6a28I5qWnHhSBY2JSJ2LsCrXY0oYOY8lECqudEIhZFUMfkEqZvxa0QWSSIo0kBB8O7hnj867yyCKySlVBBxEOZa1g4g8VzPIUbigXFmrg+o81aEVU0ZIcY4gGA5B15XvDkPLYoLKbHWtBsdMZtEyCHLaMX0Gh9n1F5u692gKb23701F4Odaksx95U3zGg8u+MkF2hcOur/uCIHDgwXKrHd/iZIewZiA2W3NDhYssli9RHp9Z2TUHaNz9OxYtG4zISlBqZPApRaMJmfcZiP2CO2N/Ir4OE4mSHzo/4cKOSAN5v8t4zheQ8foBsj8piO83/i7h0NB17co1FceBWL4KMUiEQkvbn/yPdiodhO9djeZGr2eBCxU2xygKuM2xfgIpE9pxyEORDUG0tQjg414lQum9J1hzE/z3oY80kZC22H3nl+XMOweB66tbGc7J0XtKW8ff05+glZven7DOhNKBHdnGJE9fQtE996fUDq61uVOImJ3uMdzZ2aqe3exGezeQWFbJPPJ9BCVQmUXy6XR33BP5CgCvyIzKz0v57qD1zl65dU9jq/hjeg+oc8yIelCsRKtiMFOLyDSOliaTV/mbgOcDsa2e3uDaRFAexGg3Wqhpff24dzi/al9fFFJPr3rE3F36NEfzVx//mSDvgWcDkaeIyUkTOVMvMcKZELECEnW0IkB+gdV6f2UFugGZEfZGhgqw4N151tJihOQ+WZMbiw3bPpEB4zH8Htq7eu0PZPEvveUEVuUMRM7QPsCoUD6+AWf1WqC53C2tYd7cFAitZtIMJi6Is6GliUJGMisEh4UhjeNxBGZRmFgFuI847zZsbsP86nzXIIzwt7B3zBt4UaR/XgbqR0tHQwi2dDkZI6GxkyaK7zyw4qWdWzvHswkXU5VDidGtgQZfi0YsbkWxLuJ2fPzys5JXAyJ89wp1sphFp0auHHOORweBclhnqNDk1rRIU1P64tkgwSQabep3ZtiTpfJbwaUgNFjxMpAWTjnGn0fbDXy3B4e8ORwjxMFb4iz1kXSgwH9ONni5m2agumiwd57zmQXa4BWRWzPLtxEoJIeJld6nNbx90H91Vlp8MUR5qN9TlAHnWEii9fweZB28eFiwTLhR3KmNj58FATGpk64DsJwB5qOsJxHRGdYMPRMRnX2zlFhDxhN96RqpgkZm+ae0mJhUmmaZDbf622Cl1XHGkuVIDG9A++NBI31WDUribqBImo6iTH0bSV+HggZ4mm0fRD6e90IyZcWGZEvTBTbW4eFPT2rbHUTnvySQyRIHyzEfWhYrIm1ZaMgKVlixl/R7Ghbq0vGdl1ykfgRTRAQ2kAcAZEwn6Cw6NiEMp4l33KQZxbriADtpwUVjNEHIZP27YzYt5U4v1Dta1Lmhu8SAse4w7AbmMdtgJCIcLhzY6IGmWnnAMkvr0sgRJIdfeZNrYXx396UiFjgNHCNPOwP6qGEpsWMzHEdphh3cn68PkW3JbM+b2y46C4RnLscC+mKOPSDe3djO4TNHJjVt6uueenlEYie4RhfCz6LRC6gK2O+y8uSD7WoRkkL6uMIY8l4MRlskabWpq1NMsT03Dh5ee5Ez8bokIipmbtuB1lnp831icgeavi0rZyHpM19Ikb7bYxobQcfVFuzfcbm9b8dITC0I5WM9b0EBs+qRmJsw/mgKQmQRnlLJTgHO1EsubxCNI/AEWo7F//JmaLp+cR8DuEuVZBM7jjNnbfvzZwFgAIlpmToUqAUSruA+xfZGwuTbDf8AtkWAG9PE7tfZHZc1lK4VJuSwIKImlxcS63Ft7qJ/eDJ2n6crqRU6lRNE7UwGLmlrfrNe1O1pNDUYEzzg5OlEheec0dsdOirEjlivydjQ7Km0kXUTYXJgCmlM09clRhQIr8+0Z4Bp4JgBOrAYDZBdz9B+C1X8YLkP699VuE+3drpJrK9WS7pgjcPp7pW+Cwhh66RWAj420ZmjkWc2OEiF7pWDoP9X79+IN0dNDucTkxhH56Wun6M7MJdgBgPCgXnhoSP83eKoG5qhvdm6o8W9+F8IiVp/vZXvnZg7x7N7fEZAmoYg/YqXB6frrQupL9GtV+TqDniKQUUEznc0+kKscbc3j7kPXNZPaBfgvUChSmJEckE589ZwR05SDI7rxA6q5X8QpZl5B4U4f5iIkTnOx9f2JlQPKQU0Pdxew2LnIQGhISbKG8wkeM9Ipm6aaAoMiVWQrBA2xZTKVoz0ECi9fb9ica5wzNC7IKYyp6GsCUF7/3pTJ5AIHSI4dGufIoaMqJmOcrfjT06ZdKHdo/pHmI3AaEariKj35IrKO59IeO9X9pkBBjzHl4Iz90o4ye5cCHAhMqPt8H9Oo7ciB6bv3geLcLikaDk5eizpHXhTFK1cZOkBGKf4HHfotiWTlOCMVhGZeUoC3xPgCDRpoUj4in+KI51zU4YrOmp4tnw+W+gXiDfgEpIkdyPqXLOmmq55ditxNVt8v8bYiawKy0n97RdJRvj6wZZ1Qm8mV3sVOK7r3/ZMR23KWgTBV5DIK9SCWa+mkTkS8Zqhc2RUu5gkW8t8wngXdpYQq64ZxKnoy/+k4kG3BoCC5Aq/B6SIq7TdTyV8J3H9z38b+9VeHmtxwlJ+Nn4PZT8+HHiQGTFlJr1AvlXqMOqV3IEPwMxOkwNWUNRGtvxGdMJVHZuykoBzt/HMoLH4kYhZ+1P8nfEr/IXkcIaRIrRW4TvWN8YOIe2ktYAyFLnfI82Gmd3fBOeGb7HgEm2bw3RGl23nT05gzyJroNLMLkWBGSN7RrTXZmdbZnKoXXhEMIPuq24A/Tfiyi3PVRvaZ9qtBRH3E4TFHHqNE7Ot4jgOV0ZEo6jaSH3Wj7jO4+Watcw9nqIpgOfP8s1CcJ1AcVgjX18sdVEDOdOIIKciJcNN4S/oeXBZ0OwhA8CoVDU484l8RAqGVkmCSTwYWtAdSuzWyYrYuD4XM885Mdv3ZupEIDnkKVMHHFOjP4PSlCYQkFZGNsF3H5pTZCM0nJBwgDS4qqMNbr69tFUiAkI0C+/uSciKDwcfkZLBE4LXAfIngRmqnypA2M30Znl60ZGeuh1QOSkbRBFtH1iW8IRoRAoHEEf9IuJQ9JAkjwSJUZ5uU4gRoRJCKlMM/3Sw7k+HwQGfhBJGigY497fP96o1ePuOealnc155klLK0bAHf8EpOw5JGQF9Yla6QRdWnrfejCz/TzTdedeE+w5HxKOVV1rUodz5v7P0QvBER0OCOqt0ujILCsje/9kq+9Ye84dScjeHHVT54QNMgfCIs4KU0S1k28wEb8xG4X31Fl1vhWZe7ZwUu2sg2nE2Djf0/kTgbyTkLE+9hFR86gZid5pT4LdWxExVYMoJpOZnVAUYgTXCQTyeNnY2/echxnJHGgTRo5fedO8xgPC2v/zd7xrP3q2tOZ4d7bi9v57CBYBaQhBhM2Wd6IPi/KmRK5gOAvVGDQ1sfs+ALwEA01E+HHHwJnQWGb4mXQy8EGJLEMkLWdDwSxrsENIBREPRuOCfBGLWU5iK78UNCWAa/Vvxu4cpAiqwjkKlWEqaERQvOsRtDHE70BGe1Fok/3glDr0J5ML5dqeFyMSLzyG0fhxOkJu7pKYEPjEHM8cGZMHldZIGE3U986dd8SDg6n6wWx0TzaYobWq4mXZQIAlh7vlM3WOTAm5ksdD9jvn45Miop9GpXFfZSrFV7Nrj3CNX6/vyX3zyefl+2hSxJ1TujtpM/onjOOSBE4VFB2BlvMsuBgxHkNm7PMhmeE1mJA9mLsPOohM4nxHC/RwUOJF2wXFW29nTxJG0pqY7c9RbB3EfQrXSmvVt/BAUSDkMVvA5h+QncB34t6QGJOoBd0N7h/rEa4p/JE5C0MJNBLnZhMR94DKW50750EgJCgBLQvu1hdzZ6RWEM8V17vneWHUvrOVVE7pD0W22TayAiB4c6HxopljKFZ1luYoUs7VokB3huQFh15UmP/Hh+d2st3qXrU1TsmxHc0mEug721aqqHmm+Hz6+ucJKCxBP3VwPmTwCWPrTuyNU6bqbzQCy4PRK+iQKKCTAlpydM8lPRwkw87CHi2RXNwXp5rrx8qHTroxXGM4bHBUIOu/dTSTtQWkTzkzN4iMuRYQzs9RFtu7R1PtD4/PHP/FmX06cS/GPzE7RBhSHIwssTnTYzhe0zbAEiEFhYEzh8dLKQ0bgji6Nl8/AqVhvDhVOwMCMuPNrCWSJxKrnGrfEpkUMtVDwM6TzGYzzExzrUEE4OSQHCe26t1YNO613yycRcGq6e3tfVSZe313ycdPXLJKC4I0jGcGEvSpXJudq3I7d8raBP7DIrX3Tx1qc7KJhFDQhmL0mxtLcsZr0afhGqIns2Yah6Sq6aXMynuy/8rfSm0/p7UEpwM34V98cy5i7Hc/vpDCrNC7huTIVWzfPpxoD5OfzhsH9vFybUd7zo8K+Xr2MvYNrB0QpYu9hD+TUuhMgbBgsMe94NxX52tNJbH2SHTRV1Iaz8SNrofz3XnwBZFYv7TICBsUbOhffHhoH59VUl4kGdBUx6idMQ6og08ewtQCmgqaphizXUcVcId4l/9Z+Pvx5AQHPXxaMWTR8k0ZcUT0e7L6xMHaLFI2MwUEGOuJq1roISJWxIbG/5Ht86AwTscGzMOMoBXqpt9+OJfoEMp7VdxalKLy52bgJW9+h4NrQKCDVBumSqRyWrjeeGWOeBWC+/hwcLJDMPgn99eRTbQaBVYQD6e8cvs0hly8RU51hMHpBM0FzitRpep0R4BtnVooP1PUQqSN71JATHMsdDb52zgjMlvD7TSjP48mgkNenFKr46nwvXmQJbuPiBYbYTrYloq7dgmHgrLn84io67Nbzls8GQ+DELSx+ya5DesxIB5jMnBIaPlqnAPXjXH0+zNGrjPxAJLYtR1ECPZrENicthr+SugacFIP5G9U2OnGJdTntXsNwnQOaXJEV2kuAO+P1rwSInFLMASED5XabK+zGQhRBZHbvZbzDBNQQoBSiI6pNSuclh1Sx7j7bJooqcHTiGpzSaAfaHk69U3an7AOuL8k2hBZaSXNClkuak1cQLDmvqD/gSBcFdv+3FWmS56LAaXlXjA9bSFIjK08pxJ5lfAMHRnS3VxPh5B8+8HEhidMbOAr5VRG2ciplLOasctUhYK0S8vKzjduc5ADAMZkea5gPp/kEkjEZwVOBK3j86q2fkhtNsTWb/lbSIrwJhw0z6jxSoF7sLxziYrUaRHcg9gpjyg34UEWx1pkVBSdJBRr2Wf4+WKPkWcn0vdwLxHvhlYZbTAkzAmijN2ipcIeB8cOaXeu+wJVVDk703LB34fw7tSWQZKowhFgpOonwagaVFYjtbGYKpQ+ByPaaK5I/JCR1N4mk0RmmLRXGKPls1hH6H7wc1AGOBQIzNFyoY0A6oTbMT+bFrmSVbQ30B955zBzLRoUs1uE9eDBOOM/Gc+VjT29KKVU/P1nKyndauoFd95zpq5Se2cyscdnW61lyLjsq6d1q4D9zfsLoW4kTPBhODe4MXB8QIJYeCRAJG335hP/fUCBXCKHb9C3MjhRncZs62xwiteg1xkoCmsdlDK22hA8AyHrbb/o5EQOuvbGYqokp4koOBh62ArVQDAPsi8oiPSkaKNi6NnwGdx3HJgZdvDEe+JE71zc8WH6Io4vbTKCuuAPn17YpmtlRf6jp2e29n0+jfFSaUPWI/CjhunxczJmsgEWGw/YWVna6dJlmLtoSuPbIGzcK78Rj3/PvkBFQd+RhbQ36+0ZZn0oiPLA+p67Roc9cZXEhcUZ5NyBWvfyQv1PHjSNtgI7JzP7zccXtoLERZumjQWtksk/XbE5OAnlvUmhz5HjZlOLwLhLCQitmJAr8/r7e7QpsI93uiAIpBF82dCQ2SYYsoGv3Vi/RlVpAYV2Q+C5aELIE4AnVNa+aua6Ebzg1Whc2Ot78N8EcmbpBbMOzkcFa3jeeC9lM2MUzmV1qMVqaolqhr8lwHs1Viozzf6j7eITwywkg9eMEeue0bPVaI6Lptw/BMo4MBacT9hoUo3RAcnCyKeKrpNB5z2kDqnZImwFmdT3gJm8kTS+n8zKvC4KCQSvC9omNkpoQ0IMR04kfz+KzXWm/805OOIdkyNXCYNABZ8dE4wIBiiWEviJDs4czQXAWlYCoE3O14Q/pFrMJvgHXU0lKWlO3eQPI4WdNTYfBsujWLomjEI931SOh8GEk78H0lLQNE1m7xwBm9NeZDw9td/+7n1V7Ny73/jo3N6XE+9G3xuS4j5maLAHISuTvPSJ3cepdEDADHlxN7rK/WLctcsJmolNs0z3noDNOCR8h7an9UDvaLBv35urPz+bkFg40ucEy4Wqth88XkqoLHC0DguM29x0jFockit3Ff2mcXNehzMUmAs7X9Ua09ybTeQ9guX7owuE2mIRBkmAnn/kJPyxAkASHN6Gg/gxxIvt1x5dCE7netEuQCCLROvhYiKuB+gK6CA/4ySlKkuyVnBt4YrAERos7V3CRJIJh+h8U6plRRLxC28tdJ6QLiGpQqyEt0P1T+sXv5/Uj80WqVMNZXE7tDaSH8p3Hq9cO6mIbT8qxAGB38LUD60VEr0fPl3bvhRfnUsvSQ7oE0adaBixz5Bc0dZBmh1LBDyIuN54AzFJwgQIaMT7J4MmnEDz+OIP9gisc41gz7Pc/rf3ntpp2aryp2hjjBkiKp+FUaIm/Frn9IwsemOVPdwv5NeCqNmPTzE1jawoYnuzmNivsjbvz1QUkqz88HSj137t/tQmH8X6rG/em8lsD/SLpIkkTcl/msglHPSEMeNvLmf2f2Sn4jE5TpubcOJcpBA7LewUMUCMU1HaRmNH6AqOzKCUnX28rHQvNf6MGFrs2mpMa5FksxfwwOGP9NE5Lsix2kc5Ng60USXbP7W38XfalE7z5isC6+s52GAJpGS6wFbOoswFCHr+aIZO9tyuzcbN5kyWycPCDifZePktFJYl9NkZkboKuBwE1PkUOM9V52zA45FcFfVeX+TeJBfEK2ifpGfi3BVhyNc+6KlPmcY2n+JVwKbqTLLw3fi5NxZKTnhQ8cTA3I9KaprQxsmVfT9fbWUS5kaHnWAQY4Fs1EwLkBCnBEUPq4fpCJIZgrjX3fHtA4wCc33ftnNEMcbp8LggQeIhIDC1S6zAXRR0OizuuvA7giNtEh44eryMUqKBIVjfC5hlExjjOO86eW9nte7kjYGZ6Uf3cWeppcr8cdBFbKgsO5scOq8PtGQIkCAajBjyuLIpQBCjj8r5gtyn7aAgzsmerQcRLXdJt6wbAjgbymSaCSJFOA9CIHAsglT9wHu60Vn+W4ZljJZitghfoens3iLVe5yUyEAjCw6RbbCIsT3GWBHJGkhsMIlzfjigBnyhw5m7PiDGIu5mdNdbazxKR9uJTZxRUgiYclf1rjUhkWG1c+5s9KUk/l3AckG8FVpEIJ5ljKQyT+L5G0h2p4lcc4PzMUkk91bCSSK8OpEtoG2RrDunAUJ1SUcEzgaqos6HxZ3Mk1VtP3dvakd7hfrcKIX+3BFtkqn93MOFS5oG7AIyIScgIjwL+2gjzFHX7OxxQ2ts0Npe066bDDYDFfKqughpMd5I4o6WSQmMPnPr6zgi+eqd5gYlI62WfKr78OgMZeRY8DivcRoktMI6oXOgDdiwQ8z89puFCIU8b3Wf2lv7qf3SW3ty/+UC4pqMTDtB+82Dqf3iwz0RF9mLvvt8qffg2c7TQqZnv/zmvn2MCmrEpE6jYM7ms+9NFPPEcUSYCIF0eQEfYeESLa4XRQ5JAvsXqBYKn3BG8J3hceKeo0gKMZU9kGfj0UkpuwqUqWkvTIRudEra+UzWJ++PH1I0OA4KqIE8s1aVPT0rFYzRJmF/QSMGKXSCM2gA0zDvPVuqygd1SeOZ7g3jzDznv/bhub1zmGtv4Dw+PintaYIuRiS3WTgQcDngd2jdIQbH3lOhMsuz4AoW7iGoCd/qYFoImfno+VpGg1WQT28b6bCAMoNc8MesNVYYz9JHZxtpf4BIHe4jn78v0bNJAYE6ViuK/XBBcYg/0Hxi82/l9v3HF/bLb+1rrZHQsW6Qo5d/FwKZSawilBaWdEYWuRLgw0lhx3Ulciku7iTjoHiQkhnXJS790tt7Zo9d8uUmqAZ7a4+RaFBFJOudbg33lnYl7Sj2S02aTSjiEinPHkg7plNC/DvePXJFIK/R0MNXBNbXdpD1YXX93mRt/+PDM2WaeEcEUul+gWV2ohsohUc2gKkzTzvHqEqNdKd86YhqTo9AQderhRL8yEqjJLH7M1RfsZX3kL6U71y0h1G+kINqL5h5LxvsjdlUExsShPIZDn1kKiIqKghV2GXzoOFIysbMWBd9XlW6mauWBFtSyKepRSvs6l32vB6AOUFsCJi0KzI7olLvK89PcRwMLU50GypvoKekgQpmIu4F/WVG2KiuCNTSRkHkTd4soBKuzSTFUZ+I7M2Y22dW3vVFQEVACGjNMNXkGN2JMxAsqLaQM+5laAY8ioIl/hRLvptXKYSASZW1N4ltuemsFFcHsh+ibFT09K7ducUTqnf8eDCqihXgNqVzAWZiFBIuQT6gEhJg80aDMhvEBHHO2OPUwZ+z9FJVU/oMldMvOJgl1pwNliAINXW+H2CjH59Xko9/63Bmb21b+8FzfDmAxbGBp6+NtgKJbGJJC2kZgTkmS5wKL0sPBIx7wQaUds4ziYSVWpwNucicQBSM+4PJ1D463lqEVoRGNt3fkQgg0Y2yMIXTj09WFhFsxfKnFVhIS2NdVbpOQc2TzZr7KyJk6uBv/jfLGcIj3/toTtCZ26PTjf34hFbPIJ0OKkmIlfszpgZcYMeNmvWFOBnYJORfEm58ZnA7vr8/0bP6/KLWulalj63CJLOjPec0ipIlxQHvTcFAcJQfjw9OIAUgUPf3Z/bLbx5o4//x86VM8b73dK0klJbDkOA87dYKPfVHyVbv+/bhTOqZmkLJcWF22hwUDKCVkubHo6ZsZRJ3bz6372GK2Uf20Vmp0WEQKvYQfKqYokD7hOf9awdT+ZHAa8KgjedN1hQTxMDQrsjtw7Otrg/VMc8C94MWD/cYnxh0MUDzQGwPLNOzAExPUfBkudUYLXsYa47n8sNjzhUDNRLk2rZ9a3tJZg1GbqtS6AEnAaoE+hCtvDM39wwexDSxNw/mctV2yXZi5wPTa5We5zcOMBFsXUXf4oVDkp3qGv63H5dKaN6Y5XZWgrhoeFyOyBQaBFl8oRCp++jcTTCB2lHwfHQKYpVqzPd029oPn6zkr7PeuIQZ3xXQMs4VdArH8fefYUY5WBFB6KXN4xAW9pMPGXNdcm6tEk+8bObz1N5cpFb1jf3osXONBpGgaEGTA47OD4/X9nC+0XXn/OR7g/3HujRo35UAAQAASURBVBUaA2pB0kMSfobKt1rbtBEdz4f7+xuPz5yEvQQlU+2FZ7W7J4iQvXtvqkkmNp+T81Ky9NgWgOz9/IOFvXtvZu8fr7WuKMKYGMLM77RzontTT35FYRdjPO73//zwRHEoTzuJQJ5tnYUBBdEbexN9NvvCVwTW13hwA4ALIUKRtbLJcrNJMtjwhwJ4OVNfbW8WS1eAFcTDA0wJ414uq4yNZrGlPOyoJJbM3zskATY3v6MFwiY7z91GIhltX02CrPEfsJmByJTjiITWiwiGE+sb88Rl1y2bUKexNnY/BJkQh0L6eZIhcpMIjjuaO+8dMtzzs8aeozILJ6SiUnZ9QiSPSQyO5qn6ttTNjAgCH28QVIlcJj1JqLJ6O80bS2nFRAjy4HTr0CEeRH5GsrEFIpXssFO3RUBpWjgpeFAa7MXZUGZppl46TqizCe2RyKqyt6crR6aTEdwstolaBr3t55F9HeXABuv5TgJo01lmiyFx/VqpzToi2/tPSzurKl1DEky0Kui9glpAHISBPpvgMspm2cg9FMdj+voEaG0a9KmnrlWH94uuF0TX1FTBkazO8lyEvKNJYT88XsrNlk3+BP0Ai+1oP7cFPg/7Tm7d6QzAT3EaF+tmEEr19HxrQ9e69hhmZg0mV6wpl9h2noDngp1bu5FPEgmSktYnwUqA2kE47BISjiLWQOoM9vpG/ir76ZVLMt858GRmeIdIG8ElIQQyqk/Eq965N9N9QG0DeJ3An0IoIXGIMuu6Ru0pRKhoEQ49MyWRnhOpkFKdDgj/RXayhryZasOWORwTVVvciUGIQHsaS2J65S5pptr93tMzCZ8hXqZphKa1D9dbO8RptqptjgvyLBMnJI1wwi1suodHjOP1kNBCApRlu9bZxr5xuGfHRSG+GOuA6YQpkuioazYkvk6ynM2ftczmDK+K+0tCzEUDygb2lxw36zpzWiJw0eSqFEMUrXTvMWpDvnyS5/bRealE5P3TtYII15jxYJRNf7xt7e3DQsH0wWKqtU0gbeE/oeS5mNheBznTkYzVRkpii/BwaR10T9Ug7aJusG1b2UxmfM45/PiCNhd0V0TKKCQ6nf8+/BmKiwqkAP4VSYhjvBVFYvfNISokzUzfgDCSsDJ5wV4IokSLGaQNFA8OhKb3OsZHM+u7yP7Trz9y02wLuGsLtbt4pmm35XEqdMi1N1Or2rUmiM7KSgkRnBKer6GL7e10Yssah274SzwnqMS674NKLyRQ0jmea67Frz86177Oc0FbjgJFpnaI3jXOdgPXb/RFMAWl9St+R+O4M4yQs8/hXdWxBiEi94MNTNtIR8rsG/dRBuns+QbOhuMjol2yLJdKNGgLPtlu7GJVW5FnSnrQbMFjSG3fgee81xrieimxbjohVqxPHKN/9ZsPLJngmVOLYwRCyP3me/I+FFd83/sSqHLCdoFAQNxBR4XzYl9CuO7R2UZJO3wikn72TNCUt/Zfv8bIl5ozwsFDTPWJfyEQOfAfPD6CIYVBKYMtpIEJtr2tpG7mqgUqG1rhIpB6PsckBqrsVXnDLFfC4YmVVASumvSy2jKQc/1ycTaA1A3jJJQZHbOCPvgecDckqKFX35WNicQBtT+E1VxC5RaRM79z0sgkVEzXEKDZpIFgqf6onmR2RyiBfxIz3ko27hIYWWmTsCToESS2oLrnYZUCYSQ4GnLU821t0YaNjEXu2heC+RApwseiJ5FK1dPkIeNhZn2TzX/rjT21l370bKPzhkn+tKqcF4pM7zDoopp29+netLePzlAgZPPNbI4xWUwyRZVNW8f1vD86cV4rZPacJ5V3T/uoa+0EDQLGneGb9M6WncBDa+n948pD/17gzo/H7jOpkCAkxHWCSOYMzhI/sikSXk/yyqbuPTeQ8Xa0IvXdQWUWEwSgsJrfWs/I35AqQaPCoppxZoNXUzIkWxzbsnGVDYgSN4+khFBC4KM6R8itcKPcmHqRTIG4oZXAtXboTmNnwE6aeEhEypMJIS25yCmy8m/Iriw7hJVIdNTuotXg9d2BipFqX5dMaZGWpHL8ZUKHv1dFlRGI0NLpNCbKd2ONVlWlxBSyH+uTSY5zvuc0s7MVSSnVW2qL3K1T1gsV5vGmtfvTzD46ZTyxVhLLyCTPJYlZl0T24SmowNbuzTKvMsqkRG9T0DASBjbfeWrPNErU25Qe/3ltH588lZy7zNHEc+nsyblTM0XIC2QOXRBGIXEyJZUhwZsHEmDvHGvfuedIhQQEiJCoWqZ1a997BtrCxAuBCKQ1sQx+SdvboogszRIFlf1JYf/7Byf2nY+XmrJgjyDRwDae9grIKogUqAF6GLTznq1d8neGmzTXPqL9k0n/Ay8cghKGfg8WmVx6OY5KlDoJ2Iz/gjzmqoRpGzJ9IcovAX9gz+vt7SPnNE5CsFo3ei3I3r50KRiVjuznHszl64OWyPvNVjyuKMqFFuPuC1rw4ABifeqQzIbPiSxab61/4sZZkaYnuEs0UiPnuPW6GVUSa15DEqpkAz+bZrDpxo1cwynThJle6MjBtJJISnAwPl6XUuslySepbZrKmZ56pVSmgnjuQZ9oudBcpT0Cj+zpBckxOjCJnmv+Xda4nPe2lxU2p/1RMjLr9noZAPL5m0ZtTxIQ9gg2dxLKvUmnRGTVogOT2Om2tO8+r+xoMpFnzyzPJDrHuUB2xRvpx2cbjTez767rxP7HR6f2S+/sywsJQjEaMKBS7Lv3cvYqyNu4dbsYwHs+W26UCP9vPzhWYseeB/r2FnoPiJsdzF1Sx8RT4s77i1Bf/VInI2SKZLSS60UOGZEYRg29BgNz+c+XKCwm0ukgc6/aRtAeD8YabQEY/bQQSCpQQ6RirRK5TbJI2WQJdrOpg/fp8dNfB5Xkbwi2GqQAnWG6QT1A71MDU10MWEiIvfqM9JOd3XRl5zWqhQ5eg7W/rFGbzEVEnGa5nW7W6u/uTRNmWyxBzIeEYnC8GJ5fkg6UYcFtztfO4M4ZuBFsHXGEDRANSjnHyvjOQbVbPCKYkNQGh1CQI59SMTS8ZxbZIcGb3vymv3xouAZJnNo37qF9ifNnb6s6t0fnlRZjcIllPwIc4LF4/3SrZImf7U16e3YOmBTZSeuqQzYr+DogUpp4EqfHtarciKpDoYTCNJgKIq7kRJymkH79zGwYneVAaRTrNaolbN6zqXPX1e8Rd2o6++/vn9k7+xMlViXQsHgCCN+ZpQ9mupAPprGdbF2yQhuGqRJ4Cw/3SKRQ5b3icASPlgIPHUitaJRQrbhCR9eK3ID2FsmHAm2e2tNqq+tvoc1FUuK9j7LIcXa4FiRirDTWOsGEJItKlQ8u4He0eCcBY8MZ6ZVck8CQPGQJ+geOHIiM9WmHo7Fbw7wPAQT3ZpF6mSqJ0MqoLKpIlvhMJ/Z3RNstjZV4fd1PLnDvExRgGdWsWvmRkJCT+LHu/xdGNlknbPjmWgEkEEOX24N5au89b1X1YSEP0hQvS7Uj2NipBEkeCIaocpIgUNV/cLYV2oYtBOgHdu9HE4ShnLDK+Rq5bArW1tZZZPESwrpTraRlsO4cFwiX4DJpbR+G9lApcSlpt6H70UTyAiF5JFlhzYjg26aWbDHYK+U0/N7JVq7FBEpQklgKzYP92kenSkoYwaYFBJG1UsLlWpYbkCG1jmhdTDV+i7T4s/NSfJ5NlatY0ghszToY7ACDvxXPxMYezAsFHq4TnwtKNvSFzhVEl6Lr/v09Bca370+VpFC5Twv2GOfRQpL0Cw8P7P/1g6f23Ue9G5ddV/b2XmJD5EiQPBuY1CnHJuGVGeZWieOm68QN+nhVKjF8G35EzOQZ+yutZ1AVJxYniX58nyhkTlbi3pC0MFkCuoPoHSjGHgT/Ircfn2ykNEuLSrJwKgAZsWb9JyIAA32CPMIfwzMMXxdaf8j3PznjeW5UiJGk4FODzg3JH+0pClUQX/gjFHK0ZIRGDL0mFmkjkoyC6Dw6p0U6OKE6HAhKYoRDdrAfGPAvmhba5/ieGCGCxjHZRrLFuPYPn681so07MFwYOCVCl9reDqaRkhhaniS0FB0q7FqQqFxu6u8dN3a6btTeY89ibyP+fePBnh0wnZklmjj8+TcW0uF63ceXNhkhu//wbG3vPT6X18Q2VHiYU7Ed4SugSh2XTcdeB34XCRDojqe9g4BF3xcHxcGqisXbS/2O4LjyVS1oYXDQZTpEmhi5QxHkdIuiowQmQFwcXIchGAED5UQCGBsQfVwQBx6ADWN/XW1Pz3kvRrk66x64hx0oHVgXiJ+NXkGywbfCVd/ikHgXYGkQwH0ZTY+oSpH6JFyQyrnN+okXvDYIlFTmIDannmtBVc6ACcJK0jchuUMBU20VN9FxsKC6yhT0nq7ge0R2hiU4yeCOfb2N/GvQo+Df4iQUg52WPFBoRGAIxhPnfs+943ug59JuQWdaNzkSWkeMqPKwSm4fYmhrkym9dLOIazH6bHEqyARQYZQqHhsWVZIjydKnhrz28cnSTupePBUJa6Vu3PXXPzqTsyktGpQ2y4rkkTabS6qkFinlyxfl+jWYs3W+OvJdATnLXTAmmGvdACEz1dKTOECghQT3ogR/mFg62bgpHuByELrHchh2XiVBK0VkWCpKOY7CfRrsZIXrK8lMLgfRbqjFh2ja2qaTQoiiJpQgAfJ7kD0/DQTiM58SAKjQarUHNC0kPnhnc4tsisrnKrN7exPxNkgWT7a13HQ53wqyr8VWbSr7+Cyzh4cuAUggjZPYN71Ny9qiCbbnEJBBBltxhrhtcsyOMaib6Lv/5tDbb3y8FLeLlh4J2vSNxCWSIB6Q+g7QdXDGeowEA9XHxjNaKxi9czAVxwNvD/xnmIDZaKLNOfmC5JAJ8lcxAYTEvOsUeFRrovXSOBVP7svxBdwJkCwXaHmu0CUBVaI1dJrW9p1HF3o/EFWE00AaaPPJPRcPE43U8uZOuRQOAi0NTSz1tSB7KmuI0k5sjokKzO2cvT3r87e/e2ST1BGqf3C8tHQZax1A+gURIjipVchUCGig58ntFXNxcZi+ILln34I3cTRH6h2UZLDvP17p2pBUcp2YGGHd50y2FPCLcluDRkWDPbnAtBBCdScjup6prI6pHvYAd995jplMayXLLmlZtc+KLLN3DgqJyDEls9nUanuxFjlfr8+mVivXjOf3ydJphrAG8BB0StBMI7W2rVzbh/MBNcgmsX19MVGSzOfxnUCihWoPbnqGfQypfFAYkl94ZPP9zLotyG2lkXFcvWkXITUgfam6E+F3TQsMaQba22UrZeJFMZEXE8/+e083cnC/V3d2OMX9t9LAA3sLY9YUXY/PS/uFh3tqI5J8fnCycfpAtGzj1N7ey+yD88q3HtlzY1tWZ0rQftc37+meU1RAEiZJ/2qa5jUdBEfIPx8gpSsuhhNtEtlNkwsw5/ELGFSNbOUkGdn9vLA3Dxx/AQ5CDkSnGXZX5bOZLVGTHAWFcvTfmhRBQZWqVP1OKhj4IZUj92ExXqKdUAqChw/AubHxMLJ3st6ItMboFk8XSo8E1iyubLVxSMDTc9fjhrgGhMxGBjM9eIXga6FRYdoPndnFaAIonCf14VqVkpv6UUXnAwotCKoIHD5JAESeTZxLsMZKNb8OrEo/lkTIa3G0ri3zP9eNWj0S6OLLRYw/RvZk7dCH8fGCyqfTg7Kas4sdFwVkRnod3oU2jA5LswTqi0cb4GQA8RIU9mcONudJpecL6XTtPynIp4exZLgdIEeO4NgKraHCXq4re4bSJggK1Z4/x4XXBHlyhqNqLbRJgcH//lI91QuwOFeQF6+/rr033MNQDnlx3gddF6/Ppvt5Rtsqplf8k2JtQYROBFcoDV7DBnQIp2XImcDKQVWWZBYuDVXU+bYUhwfjuWhonXz6hhHA3rYlU2Gl0BXQQCUfzjvMJRFBQ2bjVFzFnxoZ9Z1Kkba1U7xZ1meaKiJJAwkgoWDzJ4CjzLo/T5xEN0HlSa3pIO4V641gDKkzto04BiRoahMyidI7ATccUn/z0bkdzDNVx+8dVxKLgicxDIl999G5FEn5Dhp9ldu2Kz5mRSIeGZX76Qazs068KRJwKlICJK1HXnu+alU4gEouGxIdzMYc0Rv0Q+PoiHehuFn1drYspRUinY7W7Rsa3Y7c1IqSiz1ceFyFzD06jFJDp/XD5xuhVbRWSSwYDaVFBb+H9gjnQ3sALgTqq5AnaW/RXuO7Oc4EiC3JOklHpiSHaysOwjS3RqqjjcZnuScIp7FXklxwng/muRK36NmF/b/fe6ZVzedKgkDOtYlUX/l5IPny/CMKR5Emi4s8VluKwoT1AWfu/WdL+/B0Zeerygf3yCK/vllXFFHo/JAsE8zZ9wjEJCDi0NSNzeFQ+HF0TeqQuFbetNG7YDMdVlasAyfQpjUaeQQSn5qna6FmJe0eRofTQnvu/b3Mvn4ws//58bnW3zJz48qbGuQKEunEHl3UcoLWtga3iaKRxQIHTxLyTiYyIK4YqTLCuyJRylPpQKEngsAc3+MxiQrFV++k4aVhlJhGmGkJ06KWYR/Gd7gN1xM76Ny4OS05XifujdyeG7Xi1IqHTAsij+otbs8nG/v2G3O5WUuJ+2dlmuYf/aN/ZH/37/5de/z4sf2O3/E77B/8g39gv/t3/+4bX392dmZ//a//dfuX//Jf2snJiX3zm9+0v//3/779oT/0h+yLOshIIQf1rYDqS2VLXRAquRbiG5MDTladNbTI3UPw4cnSsihR9v7RprTz9ZXQ2W3KrRw8FCQ9iFMBSysqEVgwL6scI5wg1DW9PS+B9J0sNNVGrUXo0hzBn7UbP2Xzby4IFCunW8GoLNMoPsni/KkoPL/0UvEUVH1Hr+2FIyQv/Hs9FqnygW6zdHPxk6lHgPwfkZTAFx+3TvgcrLW3H5xrrp2NZYlLpVeV9IM1tx7Ow6SXp4kqCNfocYGXZGPni4yN+oSG+P+9z+uBbJvKTiQ73qliUqLIyGb4vPG18O0PesPffXKhz0PKfvecCczhNLjH3I+x8NuuhHsI1OE1Y9PAFCKgtwgIr+e6s9HS7hoLoO2eB39/6bfkk03d65L3INn1nx/aLLXJcO0Dxoi5lhrJpfpl3JXNulPyKmE1xnNjJwGuatJPSknF0t/v4Gq9m4TpGvkTXpMknrS6TjwKWTqoIny66myDs3Jda3z67KKUOzYtSio+fF+o0Kkw4Voh+EXSy9QbLr8EWCZiQDgencN3oW0J7uPE20jQ+qG1p2uzGVX+QL+8EKrgfEVauwBUDyPpMqmD61LbD4/hLzjS6LMVHAHM7lI7wsskh58UWVNFqjCZtBDiKh0V8A3WmHPK5drCL0OtloqdtcWotap9pb80RyOLQQg0cJvJXA0TyEMUB9GH0H51tUehRMv4r4SuICCX8IW4H1TPLglYVaU+63AvseM12kMr+9FxYW/to5hr9n9+cCotom1oQdBunU/kW8T35r6yb/5Kf6gWyAfHW7WvMPmjWs98q0QTbObuCwaifDfu2WIGrym2gwV6IrX2YZKeD0/WajkoVvt1zrSY9i/2NDhQQvgGiyUI5lrGqPFycD2fbUhKGGN1hQkIjCxhvGs4yYaKw7qzJ91WzyqfQxLFc0CrByM+IOBth38LJHyCOtNeboJSvDPuCa3NJLateCLweuCjVdaveDZ5VmI5d3/vtNUesJ873ZrSK/bCR2Mtn7CWue8R6Eqt0ei39qfiObEW1E7NE5tnmU0K2l60fWtxCREzA63kGlM5U9jhB0SS+uyiVoygLYuuCOgl4nSgQHDcMNED7SLpmGw7e7ba2jeRxJ/k4sf8TEzT/PN//s/tL//lv2z/+B//Y/s9v+f3KKn4g3/wD9pv/uZv2sOHD3/i9XVd2x/4A39Av/sX/+Jf2Ne+9jX78Y9/bIeHh/ZFHlSGZPMInQm29j9XMpC65IMqgg2J5wpkICscrHu6btUKQcNjiYrv6H3v6o7LJtUNrVPg9J8vjQb+zQaCjomIpO7fVIpBJRRkY9Mj1nN1cA4ncFI8gsD8OBsHf0/FQ7t/1xvlJnXTcEgt1GdXIUCHoLZw03jaHEsPcYaD359srj4reKxwvucq652C61xVhVcilXfM7XL04tV4mGk/pULvlGAF/YzbZNzDwetQF93WuF+6AEqiISj4ls9njwxoV+NhkOs+b3xPvPDmjUdIInZ56+EcaDeEZJFrqBbQSJTuOlTFXnJOXD4SKf6W74tnDNoyJAicC/4nqlTVqmTC5uocnYAY94uJitjWaHLAl/LnjANyaKe5SYqrz90V+3vhuvpsbHvhlHt55iB9iivFOClJBMmveDlwJpAbT6WWSeOUpBwkhImNnvbHamuPzx3heJJE9qRv7QxiIWZxJBXA9jzXQHiDs83utqU29i0TWIkTFOQZ1aSRk/awDeV509n9Ga2gzj4+xgfH+VA9RewuIdggwob+BxW7W1dyZEVnSEmNUwjWFJNUVX3blIA1LezeIpISK8kUmim0XCgqNtVKzwljsANMm542spMep91CG/bJ2UZtkuP1VWIoHx+fKPJlCMC65udMHsH7IUk7sWM58zqHV3gfmKyxj3B+VOcQTWmZ0OYaNI0y2OPztT292Oi7bJtGCZ/MGTXqiwR67gjmLYJyBFN0fhzxG94Izx/ct5OPKlvCWRs9D0I3sQbw6ohcf5JI9kLQZ2lh+KIiIJkc0g/xdhPBBduCRUfq+E90Z0iE9f2cl504dCj9kohKv5k2HhMwpxshXLSomUCCrMv6ARV1hGk3rwIXrwR9ihA0y+24rOzDFcaB7vzgT8MRk1fWFMQnEt/HJaVuV+W/l9bZ8XZle7nZ1+7tSQNnGzE1wwg7aD0aSmZvLNDMiW3Y0NpEdBJ6AAhmYx/iQNw4gTeSDZIRUBAmI8WZgqvSkFy5hIpMFWSSpAZdF+ma/CxM0/y9v/f37E/9qT9lf/JP/kn9b5KSf/Nv/o3903/6T+2v/tW/+hOv5+egIf/5P/9nyyitzOznfu7n7IsXPIPw6UZ7BSuPfk/r9wXEwHVTLEcgy+tN0IJAn6H+pOfgRat2g5/gdipNX2HyAj5jBWvbO69SRfY3WO+KY+HJF2qN+Kw/bEZ39Z4Jsvc8TLs5MmhHiIJjafIXvt/ud9r5PcEP5CQcwdfEa2Bdi9iMuRWn/nqMHYTveijpAF0JwXkk1X+XQyiA56d8FsdNgZrz8jmfDtbAbivmkxzB6+YSqRu9kdpw3H+mvjzKE3g3JMFs9hqSRV8m8dWnTyqG8X3yxnivYnzI6wky80ubhcGOzx0niTV8WjHFA2oJ2TWytUbmnagZRFBIiRfbrV2sWiWp07yzNotknCdCNATrrWu/SXBPI9NMGLhnjuAHgkjxoaoSONvzYBzZ0Jn2nUGkXVPIeJVlzp1WE7wNBXA0Zxy6qjyLQNZcWTwUCOz5hyrW5A4qo4W9eYSmS2fTGoIyk0utihLQD+0Vmtxsrd/CA3Jjm2qDZJF9dLFVYUXhwTkTuGcpisTue5EwHI+sLth/eLaZ4i+WqIs68iUtMeQJ0NsJKKtaDkzc5bHaVntJZI9wOq9LTRxxzlUQKqQNQlu7pVXSC0FDOEhtKsznmGKRg7DjMnFwr+odvhNHaCFqXY6sGhBVVhJxjRu2Emrvij4+9F3hs6UQ66+QRdYZa4P9p9qaHXaNJZJQRxtlYr0kHZiicvwvkWhjJ0FAEoAmEian/HtJG7iHC9db44vc4ODNemP9aDgB7SOwLgkYuXvVj1yyeQaY6nxysRFZmgm3stmosCTBg7x6sqLYHKQ5RUvs+XJlF4jIqW0N2by3D1elJCY4D/D/86h2yCabl9DowdqEib9I4mkkWW/uT342pmlAOf77f//v9tf+2l+7/Bm9vt//+3+//Zf/8l+u/Zt//a//tf3e3/t77c/+2T9r/+pf/St744037I/+0T9qf+Wv/BWN0F13MArIP+G4uLiwz/IgW2RRfP3+VCp0y7qyzcoH8hv+Ru0N2r9edZJJAjgVn/S4xoX98hjD7uPgxH8zYUH1eNNH1/4hpdJizYl7KZVDF0hedlwmBF6CPCAh4XeO5AUyc9dvevdgdJsnzHUIwKua+o3/5joH3bu8H5VaaGt8lseuZxFHuPZqz7wC6naX46bkLYinadTbJ7XiAmjs198LP85I64IKeZwkjlGkYiSwdtdkUb5+3uBuwE7eO05rBLnDX8n9HlI2mzpEajg1VPOMTYL6kCyz8fO8RqWzeAhtyWBqGfnWI8keiQNfgsSKwAjvSoGSQOO9EEA4ZAI4cX4pDGRxiAhuV/99kLv3IJiE9Tz2tuK/tXb8L+GFgUjI5VmwfaNRSxRWn1YOncE7SjwthNi28Ffc1UR1OBLpsBVHRINAMsR0ujhCR7ygYFiuQmJ37j96M+cYSIJ6kUTyN8GEkXaEN/2bprladEzSwF0T+ZepKp9ouTHbK1NE+AogDvCzuJckJg8XTJ9VdrJxCaMKwWs8rMIzQXJIQsI9FQGX6zDykXqhQBjtT2E9ghSHy40I7tcPEuvSQWuFdSm3iJ1rQ4ucJpgccCeZfXCKaFpn7dKJyjG9A29NiQz3GjQG5MavEWQAON9L64VRkr8/S+wbRxN7uiwd6jdCdiL/zOgc+oBuo/Dq/JO6wQ0wgHgglLYqK/FMaAmCIsIDIkGhJaNniGSyvbqfeI+R6B8unLcWKFmKSi+q3VUjtVne64vqWbxSMvL8+XMRXt58880Xfs7//s53vnPt3/zwhz+0//gf/6P9sT/2x+zf/tt/a9///vftz/yZPyOfgb/5N//mtX/zd/7O37G/9bf+ln1eB/0w+s0PgvjOxdYmOJu+BDmgmscLhFWjDPcTBsRwvIxfcu05+EmP246w6XFIQZ3e/TUOszf9rQKf77WOj0+Re73Wa/R5HtqwrqnIPu1x27UNPB3B+fFPIiSf5eEgZ+8MK/E6t85JBgiIM9w+RQZ20LRayzecjEMfXu0ZUdsnd+0/fe9uhMDxfHa0M3JxE2jbNJAH40S26RDJObfdqaJdtCn8PJRCPBuYGFb+70i6klEwVKIiITr0OeCKuOml3UMj6aig5m40HFSDw1lHmBXe+Vij19zLjLajkzQHIYGTgMw+SAgS5bwfAY5gGo/en5FUtEcugO23rSr24K2kmhcyJi663sE5uIBrdDz2wd0/36FNJnNK7xAezEHZ4zhPrgFF2Cx37RdIrugmQXpFbRcto7Z+8bqTGJBQSok6dtw1pkn6gvZqL+Qs+PvsupmHI/W/l9yA55A0o71sXNCFpIP7ixE1rbDQegxvHxIkki7eL6yDcL4hGQMZQ+WV0Vz4MeLF5bn4QSi2rku3Fi+/J22qkYUGSSPFYEgIwudz/hCjaa3RTpMQohchXPvnZMyxEj0w6vVdQF5IStBO4e9lScCzyfQnqrh+YVNABENNrfedzZMi8mTZiT+k9VWbUMVfemtfaBtidT8zbZpXPSCXwRf5J//knwgJ+V2/63fZRx99JALsTckIyAu8lDEy8u67735m58SFRsHug+O1RkMlz84DB4nvlr/TYvGBYAxLf5og+yrB9q6Qd3hQJQDmqwkxpD0f4KbgIMEt32sVP2A0CfS6jjEPggf7sw76n/ZgE6d6OSLgUEWPSJqf5rhuDSggjJxt2cwudvg5dz2CMWFog912zsD7LWiIn/qSmi0KtPJ5iWwikScXGCjS21sQtlAxj7kAu+c1RitIbkiew8YkE8SRBgufG0WorqYiFi5byIyDLSGOXmNGedNRjF6nYQcKDL/uA2Qu9MxzO9zIMvwJhAFfrMLHBy0Rnrc9iJpZItl5adfGzlIhuDMz0RISHkiKqN8+3If34iwjMNaE5xCuGcmA3KhBmZiIQcbd282jBE3CEywXOLG0cOP3ewg6igTrEhGk/hEx4zuP11H4DHHOPEeOT4fngZEdxFFaVewpkL2fNr30RODrsDZs1FIcArIaEroMiTwUUXFNdj2JQPQOdg4EVZIyUF3+liSG8xVagDNugu6MW7j+LVzg958Z9imUhAm0IGroNJ2TRHuOm0ivtKxYx/zvUetMnDa/1ngPqW1vkN83e/MAKfrU9rNBJGI9l8gXsFf6ln5Yx0LKPI+Kz8j8/qBnzo+cwwmC+4FdCAtLasP1Fcdq3Dbm2pLU0mKMB8iqtEBbjVkTT/GUYjw6ggQzMGFz++pXQsba4tnGtHPqRtCZ6GGiLKi1vu5JmnBudz4ePHigC/DkyZMXfs7/fuutt679m7fffltckXFL5ld+5Vc0iUPbJ8cIZOcoikL/fJ4HfTH6Y8zSozoHOShYnN90hE3zLqTB3eNyU/EOtoFvcN3mfNk73Pm5KoXQrtmBAMdH2ExDEOAhZ3NhzcMhofK77vw1zjo6rxtoKa/8vQP0eJegPQ5YNwWwux7jzeqzOPDOkQgvY7ahSrPP7xhXdQQPNqIw8RWepmpnbd50HbR+/Ib/snNmw9b35Pt5cT7WWNBvCagZKMZtia00bQLxdef+h+RISQvmlL6S14gwqEH04rRSWM+ci+waolaBi7+l0XG27l8oEC5HqG84t+CzJNNH73YczCsvgwu6MTnjj447omkuyNZhTN+/nxL+QEAn8ad9VDjlZHr9QOwSh8s92lDEVpb06l21S3EEsfKjM8Th3DXni+f+uoAoYEonHRJUlsWbcGPwIriTEPo2hmgIoBkxKqU4/uJQnMoxmeslLZYstqfrSlNS4Z7IVoBrAbIg0z94EyQAqdVaBJFlWaTEAFn0k3Vp2xrxv6t9jVF9rqfE9XzSLvPs2KE8oDlwKZTEBhTWIwg4XiPadurLelAkteew40gJ2GxgqC7TpvCFFveQ1/hWC8rF6Nso+epMKqPReavzIXnl+9DO0nShvMcGJfd8ZLgOnDP2Dz0Gf8tSZF1ej5IxlgLEipypqdpp47AXcP816TNCmySdAG+HNebH+7lG8IDwrkJ8EUf4QGKe0f5iurDDEuKqb6tJK9/KUftdfEXXvkQ+gdci279ikKLFLNEs9vCWTCp3kKFQAAcXeH6H5YjQc9qTaum//kmacH53PkgcQDb+w3/4D/aH//AfvkQ++N9/7s/9uWv/5vf9vt9n/+yf/TO9Dn4Jx3e/+10lKdclIq/rIPsDsoPRjHjWNG2sTN1mEIJ5vxOI2CzHugl3rVDHxEwWfXCDDYsjbOi8RqZyvsceXHNVQXi4VBlz8K/Z2WzHwdfluMEV2EF+qjrob74kMUh2gtunbUVp4QMn3iGrGCcfnxSZCdMdn/WhAAwXwV68gK+jlXQ5mht0Rvz9DusKwUQqb198X/btA3mYaj0bwfO3oWxM1LCZK5BQRVG9BhE6jwqk14wtj4/dn4fLFdCA8fQYhl1fP3SCY5BD0fZBgyIko+EfNnYqRE2/+I2aaQPGdVnfDMegCswGTVuJCh7kZjNK3sKzeDBN7P4ilYw9icCPTyt9v2R0/RCeQ9dkhXge14DPl5jYVesmrDMq+QfzWKRHtGtQHK03pfVDLC2IlPaN506E5EYiguh7yE7BJUiyGsgJTs6iAjif/SCeJPLfKTRe6tQ+OUn2BJImArybdOJvnUfVthtsDZS0qaTnQZBJEDdDmXdbiQwv1XzPseE7sP88UBvMbCXrCczlaPf0FpWthBdpE/BinIzRFyIhkRDiJJFCK0J34o5IRJLvj07PIAGvadRZ78UXh1ECo6QwcJLC+vBVX1xB3ERTKLYHe5mVfWfPzl0yIOsHf09YG+76OpLm/b2ZTYtWSATEXoL+Yopn0eC0nXxyz0E7KrTlmFiaoPrrR6yZLDqpakt6hPASi/CESp2VBPuaOLr+WRgXUlwmrsNly5JxdhSYORcPvXFt+exI7R7MPV8clXfaO7FUVkHGWOPcf8zyNHLc4WDci+jK9WZcN4ndpBKoClNoPPMhwYaTJYDJt2KLngQmtrePMMWcSUH7izpeuU1D++RP/Ik/Yb/6q78qbRFGe9fr9eV0zR//439c47vwPjj+9J/+0/YP/+E/tL/4F/+i/fk//+fte9/7nv3tv/237S/8hb9gX+RBMP/h8wupV95bZHYKgXUkKrV7S+JA7hrBcS9DSMKDFTbVkFyE/m2oClksAbJkI4K0xgaEqy+VD1XbvEAqGvt0xs8aCaeRzYbpGw7Zl/hkKfwtY6w6l+hqsyPhuul8NXKb0Zd3Bnxck+Wn4CiEzX23Or6uXaR2BElX4KzsiLHd5QhBNvOV0oXv5X7aI1T6/Q1w/+eJkNgNCFiY5NB/e3Km4G5fRY3F9kge0IPpy5tbK+P3DWs8EBkJXEwghJYJCW5AK8ZIxJjsbCNkJIxfx7uomdyrE9ubTCRGdVH3luZYBDDA6tck69qjGYyYovEDUQ9TNKSy4Y/MJwSg1A7zxB6hOmi9Ag/CZ0njWk9s7lT3VLcPD2ZyUdW6TFvLl9Wl0m/4XggNkix4vzUFWqILIojaK3xLiXODJ0ILC5SGz9nyOlQeht4VGELVIpslhcTIFgWoQyz9CkTeuD9CYjISJIwQcZwl4PLcgwzw+bG9dW/fptFg/+39MzvfuBFUzgNNJAI/QYtJP/yDohZlaETVWANoVsRybu0zErVUlTBGm1TkPHCIhyGoRoTf9Ohs8D5OZh25ASn2dm5iCCEzKn4FNL6jnHQnkrTXmKnubaZWAAJhjj+EAJefFvT3/v4ezrJMSQ1W5r0dRMj+X62nEOyxJ0DtGrsCSKVJ2mgdi+BL8uaTKtBtkpKv31vImfdowPYgsQ/PUJIe7HCKvgej3aUNiD56fxv4MIjFofeBwi3ieNx7xNTQV4FjiIfOPMNSAA2ayKrU7HCGcm1sPzrZqG3Lec9DcuX3MNZKOkIihJZIA2SwgqmvaSLxNlAv1pkk4X1yg8UHI8YQaNXVkdeZm7ZiAgb9EdZPHcUSooNcTVIPqRnLiMkQ2T00pkrHp3KeVZGI4BvsHDCBjAZ792hu92eZnW1QWm6kwPpTn4z8kT/yR+zZs2f2N/7G31Cr5Xf+zt9p/+7f/btLUuv7779/iYBwwPX49//+39tf+kt/yX77b//tSlRITJim+SIPiSQNkR1OY2kp8HDtTd28NVoWcm8dBRoy62EnuIbq03Y23DEfZCxmNfh+5GLq9BuUJwwjLQ5VIK6iY0/AzRIpYkkzTzPb1OTptTbJnF3IVw/MqYcMnPl0yc2zMTWMQDqRKh58RJSASeNrWhjyRAnjhixeBHFIbEhMvKHamFz1wvjdDdcYMynBjJD/2OMKP87rSWghcPmBBTcC52FLedGM+xTXHKFiDq2r8c+YCAGGLzcvogXXHbsowfh/L/w14XyvSziqnfHblx0BYQt6HqyfoN5612OcyHFOQrr8GCHJLNe4HH1ftdwISFsvIvUSVC/A7mGKR1WUD9TmfxaecCWOo58HtV66rOjPgAIK8fNkxCCeN4Q1r9FTpxmzn6e2khIqfipXCWmA11BLPYAQgFJpiykcztKJ3ZukdtjHUjXF4G5R4/rrAq1T4nQqxDgs07J4cDiRZDZaQ2zouAgfLEvr+sYZ8HleBBMtqAwvGO0scrU+UNtE2ZIAyNrW2GRvtj/HeTYRT+Tn7k/s+89ie3LhBMZ4CFE/xS31t717qIkFpjXww0EenOSEv5XmSBI7F2sePpQ6i1gJ1qpthVS8BX+j7+2tvZkdTJAEb1SgsG8l8Cp8YsH3HhIniOZGsLGHGJxcfO1QIVoksySRrD2oywdnXAM4Cb09R04dJeiASuEphEFinOh7PGsrySMo0Hr10K8/mApJOllmkkxHqBFDOpRGSUfw91I2rALKCXqBMDyc53bO9Uf+H0Vkbya68CQnBfE2tgxvKeslx+8MK53MO4sJpdS+7bW+qPTxFvvgeCOpc0e+TdQmmk4yyzxylMad5NRpfHHd0KTBmoMdEtkHkYlJUFAbFtcwlSFhkebiavTd1CdWgy2bytK1s8Ig+ZGZoIYNHCRDo0ptE+/YzjSaU57G2yaTcJzIqmlsh1JadajYO4cLoTyYVNIiw2T0o7O11HazGG2Szs5LdHcSmRY+vDeRhQiaMB+coi8C8pFbPYccvdF1XW3RRwEdTJ2xqZn96HgtcTuIuxhcQt79mZCDpyVzU1vmP/2n//QTP2O097/+1/9qP00HF5pFhGojDq5PE98nRSUQIpB3M1VP0+/CYQPFT4JDZneeyKQN3hPdhD6M4LmQ0OjZ4ncE6oVZv7pKWtT7JeCx6dJDLBI3nps4cTWpg8Y4n8YyyKKKWUypRhyC0eJsmTiXUghzwLLr2gnyiASJDXfZiy8SUJ0QDIEmOXfWnpIuZVWMTXbqx4oFPknsfN05iXh/DTNfMUtYzY9UBva2KkvGOj2qQkDbo1+eO84MvVq+U4Dty3EigL33HdCYPIhrSQ3RfQ9IWAQ2/FyYSsAW/vkK/5Hr+SO8x37h+vRsZJfrw66Cu8Qk6a/fcEIhOO/++tqfAat7eBppdiVPpQ9oVNcFBEOnFzHmJewe4zbaJULipyke7JkdL92aC2hEgJLvMt7NESY4LtsQOzosAckjwchyJKrhQWD65RJ7qi8EwGgpzoTSOU5AQbD3mSEtlfBmJNAPj5yj5OOl0+rQ/fFf4KDASMwZo/Gb+SSzh1khDhQJyv4st+frSlUqScKjJRwp56VCZgN/g+pWzrBZZt84nOs7fe/xhZ2w+dLWyPE7uWrzMaWACNRguc2KVFV13zNK6X73bLnWGt5DYr/I7KCIbX9e2GKa22FR2QdMPHiOmBuXZ7R1asuqsh89XysgTYpcz6YQyLKSauvhJHN6FhGIT6KpFfYlHkxIlRixQaocosLmF5UMCfnS7BkEU1x9kItX4RHHdr5y7r4o3FIJI4e/aWKnWTGlbZOrkud3aIdsy14aFEz7CObn2Wk6+ffA/fvlt/eNm4TAFsyVOQE6juUULEv6HPVRvLUcItMpICKC5kaUkcWfFZmQLdRaGSZ4MCvsA8khu4sPSib0RC7g5HPcd1fFi2M0SazpEfVybuiY7iHTMGfsBORgA7m29a7ZOhElfPzz9sFEbUASlI/PtlJ/ZU2+sTexb9yfKYEhuQNhydduHSP0x1okAZvkU3s4S+3putQoOfeMRCXLXDKBngkXFJn+aez8s/axnGh6O9mCwDEJAwoCQTixWZpqqoq2nFRu1X7M7MEBfjKF/jcJFmttMkmFWLEnYfKpsd/BeUSR1BMbEDa7f5CJGsGkD5f0+LRWm4vn9M19bERatWQKi+xoQqvT7HRZ2fpwKh2fnxk5+N8Kh2bbcbmsYTWnNiP7XDpXVCqqPHGQIneStRxUWluPIJCtdzhjAhP6tgaLkEpEFd3IJyUcSkoIwA2W7an98s9NBUfjqFh1jikdX+o6YMM+SFa4sdRm5jeSxJlmuW6uIy3Jvh6SMFkTHhZlpYeTDYYHiGoLQJoHx3wQCa2d/alDYHD7xM2RoIDAD6ZNVZ/YgPmfeuzuIWOsLQRqHbHZ24czbdYfHa+slCSim7YIQm3EEI9wawNghCzHnrvyhD/PZAdqLTDx2uIH5N4+v0YXwUZJlJQZYYbnjj/Ad2NjYO5e1uApLsuIMzUa5wv99UteikYsYyUtRQvE6R2D4cv5JI1oz3WBULgtr9Rox/d1fJ8F+4LMkKSRVPkKXwkqyW1KlZ7Z13jwO6eayH3HRVVmYxM22Ehw6fNlf5moBZLksJPsaFpg4mBqvc9iZlWzccRG1puY+F4sD3n5wHt5hbZQmOoZH0qkErOv709tf56rfXhRwe5PZSzHJj7160mVZG/27TdS+/EpbssOtdO1zoDSMzvZ1Nos53lue7PWUuwRvGb9Qe6mZ7BI/9rB3DYl8uON3qcrBnuwX9hve+dAUtbffXyu9uuqbJzvSz9YiR9N0iuJ4cRZpqhS4u1C4oT/R15iDpfapqrtohzsFBh8wBAwFoRP1Th0if38w4n9xkdnehZneoZyIRyicWjqprUNiRfOt3HiRAc1Jh3ZD54t3TPrzdrQDMEx93S9UQAj2O7PJ4LtQXpI4NTHJ3mb4qKcqnUA72QLPI+LthyOXYuGip6ELElrW21qnaO8SxrnIzWdJHo2CFxF4sw3WRBnaypt/FpAmLg/gy2yWNLySeQsM2iRtMvSTta5xrpRvS27VKJrSKzXXshMxFyNSA8KutyHvs/UTuP7rPveHhym9gtvLeTYq+Kp72xCEjb04lUw5vzRKUJfoDvOFBASbzCe1HNfOe6N+DxJJJVqUjHWJMgALSVGppE4V34gtVTXqmE9fny8sY9PEXwbbH+aKAH42uHc3tyb2Puna/ve0942Z6V4GFwzHi6sBe7Pc5tOYtvrcnlaocZbpJm1eevUUGmxL5zjMGrBcyHbua3lppzYO/cnQrNIFng21FrrI5dID72lMkZM1Ep7dLGVEN2eRNci+7UPTu3RmZPRZ4/HmFQ6Uj2mg5mSIdpkT88a3XsMMOuWZJTYkWidUMBSrF2svbdO64rbKFpb/iS2X3pr72dDDv63wsHmhOjMw4OJ/YoNklHmgdAm4QVmCBwSDKMg8SN2+ltfuStYMsJFwBfTPdKGRO+RQMZmFoSxwtQA8LVU9IhSMRUcHheOwZyxBGMSGTYYs3pLAGRsMbK2ba0aIkszKjOqPSBLYGGX4VJFCd1g46RWGehcO5vxEpOxttfILlUJfgka8QMupGjMcfAkERqUcABB0o/kCyJqtZD09XApzHSPbckjOOoXp1RYmR6ioshsNkMIy6w/L9Uu0HUL5mkkdAgooVSZOjKW0BkCfeu4A1TuQJahrbLL3xlzbvh/BABB8PNcYkA4MIPsCFKO3H15uD/RdwAtKvG2oLKlTeLRFHrxsyy3vXlm56tSI4tKjvJEbry0qMR4d3FMB+ctQSyUGHfIHGHaRcJfhVMjBe7lxGaFczT99pv7lhIEtq0CKH1wqpx1yYjdTPfUoq1k61H6zTwPSORMD43zDxMul9wNL0LG+XN/NbLKUiNgzvGbcGtJQlY3TEuNW2a7baHdNhd8AJ4N4GwCJRV2nvV2b1HI+wMIHtl4vh++SyTs82Ji8xxdhFrrRwRKObaW4kRh3U7wBdrvMkdGpIJ/66Cws01n+1kqeXGSDMwWEXqin26PI/ttX0vtF97d9yJQZh+dru3RGe6osaphgi3h6Ol5qWDHpMg3783s//GL9+2NvTP7Hx+eK3BerJ1HigiwTJTENAdiJbfH585ZGLt2KlkSePYRqTrXBN7anq96Vb8ikio4RxrXlX1B0wlOV9Avsa9H+MoFTYI6yej5FpPFWPuB2jYomMJ1Ab4XEuuwzbKEvEjGD9nSucnyGSQ3JC2zGc9EZKvISegnKQ7Hg/WlM8sjSaEq5xrjj4IXTdjwQH2rpLcWMi4CapnZAyZehtb+P++dWKEJDBocbt8jdoGc8F1JiHGG5f3FgYEEXLm2mZJWVQODfevhvv3yg4X9/z46E2r1iw8W9mSJmFqptsP/5e19OysboRFFnMrIkRbR3qS1x2dbK/tGe++e+CsId7GXDjZl/yP5VcGC9HmntrMUYvPePjxe27LCB6Z2CDMO6UlkHyObniX2y2/u2wVePBiB4tMChwf+jI8FZxUeRgRv1khs0yy3CA7KkFk8c1wT2oEP9zJbFIWSieM1brmlEu8kndgsHezDU+wNeqFDPQJ/cWz3F4UKJIpjdHM+eLpxarYWKRkTmpJligexClFiCp9VaA+kfbkpe7XN+J3k46tBa+v5phU61ua5sWJI8pC/z7JUbbpnSxJU5/T7RRxfymQECIrMnmoKtAGYlp4q7p4EITYJNiPY9OxzPIzSByAJ8WI0VPGMZqk9gDlUmlqVIWDEQ+D6mSK1kbCQCIj1HtvRPLF785lkkTmA1fDECKNqIsl66jP/G9a8jJzYyGG4t4NM8CDfnckkqXdTPlTvkN7URPXCRiQx6BAQMH1QURvI5UIOuscMqsb1l99hcuX4J86hM7Zv3cehmKqvs/0YgtTWBXKNKJq9vV9YNEQK9iQlbM787b2pY90H7whBvSQlUafJAl3SoGeSxJahRIks8TkKlA7a5g/H0zSTkTARBwEnVGFUXOdVqYpvv6AKc7wgkgCC4df2Z/Z4uVHwF9yZmh3ME5lQvbs/F0yLY+VTpgXYbAgK6+5STAjEBaZ7QEWCSiLXQWORI7Iy52hhamNWWEMVE0V2WBSCpwkUVEssoGVZCraGdEZy+AZVcWL23vOVNrU9ThRbcz9iS4U9999b+Q2JktpJbvpCfjLYtEsTxL0GMOCATRETPMaS/XcQF0BBySUujnjp19/oGPntXR4KWyJOummJHz5b+ekWeE5Ut40dFFeIyDRJFXBopbCWZCNPe0cbPKqmEENrW6bAzY3OfZEWehYJuMcXmLqZPR8am/WJ0AsSElC9ORMOZvbeyVqfd3xRqldPwvAc2U24AEDPsdnTZSWC4nTjRA/f/OaRvXNvZudVbY/OtuKDwE2ZYmuvGw1K54oCOkcEE5Ifx2tKrIp6iSZyXxmB/RgzyLaVXgjrbsmDDWeAtkuWarLj+Rl+J86QLRBigdmjyBE/neX7oKSDqR82G4qQvTwW+RKibFEk1qyd4iZuNZyTVDpVJoPw4U3inscTpE6NhIS5Ydeqos1B0QDnhN9BzoWg+fYeCqnsR7UbJ/deNrRr+CwCJn9DGiKFXG+YCNw3RLWSD8ah+TkeLbXnwfF3b+7nMobjsyBYvn98ISlz9qG3Z4Wd9Ah6DbZEej5LbUhz25+he+FUXGnDHE35tm6tgpKgm0KKiZNypvHfSJ4tJJC0uHj+STAg/dLeAJF4sqrsZLW1s1WnNeEIsol34G3s15+c67yeYkg3gVvidGBAVdBLwcwOVB1pCH5ablt7vmmEZHKQiMjDJ4rVogKFONu6FjtxxnwLhESTBFey/5EzWSQJI3nZnlcqLJ6XlRMepEXXYDOQ2dGC986sjFuhJ9Mit3s+UV1etPZsUynBYr1wnnSuEG2b1iRlJLCVijLWAJ0B1vymirRXYbBIgvJVm+Y1HSQF3PTqorMfPlva+8/o/WJPntqzemvn1RV5kc2SoEOA0T9enIZZfr+XqOJe9ZUn20Ec9bPsVDPTWHLVOiTkk9jzpeuNdlR1OE96F094F+pZy+XTGZqJOKl2MWPIrYyN2MiXfa2FxeuDOy69YIKwVCMH+ptX1W/QmpCWCFU/AQwRIGbeRap0XBQ8DyBSf+OQxhCtHnjuGGphSufbGH4MEaSE98MsC1SJB58ASpUWA9kSDH0yQiBhSwR0kUCTV2AEXcjzTDB8S+vG600w8cDmjnMtyY+FcT//37TOeH9QEL5vOzird/528AkhfWNaS0uuGV5AJG++RUNQvoBw1vfW7TnE4ulFLSOs47WzUw98HglAca+5L6AKEGM9usKoHP9wzZRwsXFOQaY8aoZB1SyXadvh1FUrMt6C13CxVXBiU+IfSH2E1Tf2cqEDnDvXk4ud0majteBbLvKK8R4yUpQEmWshBfYihVJVs554PQlXyaLpW7WzEAe75DLROvPnyvuj7nvTWLSSFy9LLj8arlHtpivqgFRV3IfSFlRbe1NXOQ+dfC9ONo3BaAL2FqpiEFed2ciFb4W0a9x2W0mgTwsS3c7WFfoQgy1mqaS64UhoU48TK2kjNhQBke2Vjd2fptpgCfiB3Mk6B7Eg6U9xlB2YMqtFHP1v7x8rUTlh/HUY1B6hnQL3gcqR5JYn5GRV2deP5vbuwdz+24+e20UJv4QkoLUeJc0cIarIJxKufQtpUwa7sQuKp2uQLueTc3/R29GEZDi1gYIixp8mt2frWi0okKYp99QIrI6cCwKF02/vz5GK2jmv0s7p9Rm0bBnf5fl7ttkqyeUf1p5aSLi0UrTwfqtKLbGff2thb8ywxWjlrwOy0qRmZ64D4NqoPWadtLTdHgPqsd129nQJemB2OO1tXYIwwgNhTHSiZ+qMNsPWTT2BDnSeowASS6Lz7lFnbx0W9my9FfmVFhf7M/d72VXaXyDvH+QQgrf26HxrD2YkKbkCOPdUe0mAYBnzbVprk8HenE/tcL+wdw9n9vwCr59KySiut/DnlCjhmL6p1ZKnrXFy3th3k5WVjXNAVuudQoFdTW7uvR0tCtufpxJie35eaf/jOdW9j0ieGL2ObFZiHBjp80hcv3FvJtIyaMgb89TuzQvbz939Pds0Ni9A1mnSkDhFdsx1wwPNF08qorJeSTFiepgazrKpzUncKFw3rVzdKQKjvpGcPHsAiAqvl0dSN+j7ZHwOyrG189GpYgY6Wq0Vnh+e29d9fCmREbJ2HuT/8eGZ/fD5UrLS3IBt2dh2e6UcyOgTgZN/eOBou/BAB5lsKmVyYQX8yKkgzgo22sS2g6vKCaql7musB+1cFuWu1ynmO8HQT42odaG2T2TpENszvDZ8i4hAx4FJkw1snL4q994fCgZCQ5z1fPD4YAQzECHHwmscnD9yxU6PpL8cL6S3K5XJ2Jk1EQz57xVZtR+FA4BZ2mCb7VbkUPXE3dd0o7Ve0VJCQH6UVMiBl8TuRmiHgi4s8jlhcbBNx6YW2+O+s4FJoRERNIxe8v/YHCSXrXaEu/58Z3gY9HgV7KSQ5ZKH4PAbyJ9ST9wOVn58bu8+3Le+xZ6eyv1F7xrB2COfGIKNbp3XC+BntHI4H/7hgRZApXNhc3bW5MOA42lky01tZ6uVfXyBHT1twdZOO7xWnKz5+6cbbYSgYi4XufIm4X0hEzO+SRJKiwoEggqPdczr2YCEGnHyUlrkfGIrUc8iWO149DAJG8y8btJoCa1GiTSNPU44J1m7u7Yf15pgP8twvOY+uKwJ7lO7rb2aJBXtlYS1OFK8AZ4eTeKcRG2wZ8uNrUqfKPWdxSWtRPri3G9loLaS1b3X50hie3Jeaqx23bS2RmwsovJL9ByQj5Eogi7Q3qmayn6tO5PR27v3pqpc8bzh/Omzn7ulbweMAlkk4un5amOPL7Cf79XDR/FSpOw8tuXakRD5vjx/XBvuN/cKTgYBPSSRtHq4kLOB9kFs9ycgeLGdrB36QPvmg3VtycVWwozsKRqtZsQziy3aoFnRKABSSOkyM52CjHyHcR3XpnVy8Dy7tVtrJDGcRFO3SqZnkFm3tZWMrRaxnW9ci0nGfBRHo6lAROimkuNHbIv2TeCtmZ34ROXZhePlgFadbEpbst9ptLix45Wf9IPZESfyVumHiX10trWLdS2eBMH+7b2p/eB4LaEx0IW9PLIfnlRCKOBEEFhJ2phsAVFzRna5+55lLVd1tWAP3CQMSeeD/cyerTb2fFWKxM/iDbw+CizaVHsgKVlk55tSxnKgG89XWztfe02Uwize1kKSj6apneepWtwUclx7yMKsH+47SfE7RzNxkeCE3WPap4evkuhZYYLm7cmgNjCJ9QSSa5GL87OmqGtae3RG282PA6tgdO14EjAKNT17fjKnKlHuraTlMusdIZriEgxLVovQAkhi40gFcL3F68ZxAHl+JVFfkyQXGid2d/b1Hl/KZIT+7gena5GX8AdAolhjb6WzltZrvDstLp0EYlWBPvizQC5GKqa6iB7dmIutH6siYhlQKTIeyKZBb5XXsXF2PitlgySgEcRoTcBuZ3GxkMIHjPv1ZMeXY6q7zf2R0qmg0ZFWRHi5jdCRsYEXGguM4qr6zniAISByjlR8BL/WzrxYkYUJGN8ikCCWF5fS9AAbGE6ofEc/yhmIlrvTITiooj+g/iWumhGwb2WPfS+B0eKEYYFxMuCdPvn3pVih7/HzOq6rKoKJu1e7kzThv6UayRhhb/bjJxc6X53PTkui3fnvEwwT/d/z/uIAMv4c5Jy3LgCA+tBKYF0dr1DYpBfuoNimau2MjWBwxlXAv3AhjrcbW20Jyq7FJt7SjtnaQKtrxF9atYykOoGRYBsfzhk5aibG1o2TAJea5M49GK+P66Z3xgaJQbCP+DwJaEqQ2PYtKojC3EuSKZLDSeYgaBnbMbo79I5PxHXz0xpU9owP54WbgMFuXe6rPnmlTUBbgNSfFgFVNCOUBRMDED01wdbb0yXW7pE2fhAZEa4Tx0HiHlU1CKNrZzEJRuVJQcLzT3vxo5Ot0BAJD3pPFG7mqirtf3+vdNMSPMusbZ/Jk7ww2bD0XjCyaSeJpuVFu9BLmHOEkWXuxdmqsQ3tQsaMq95Wm0ZjlUrg/YQV1xOiY98naj3kk0wV8cfrlYqa4DvF+xJI0xSiby9dCa1F9guhBVxvOChO8Gvl1W01Hjs4NdUH6C2BzHTOv6UbqeiG8XUSQ/mqrJvLliW/Y83hbTr0nX1wsrYFpOWut+MVo9CQmD3RFAXdttM/tMuenJX6zhdNbYfTwt7Zn9oHZ1tbbysF8Xro7fEZWWGklmKaQZh1XBQmTEBvtXdmLllkv1KA5rloWpsOkT053YooCmJKlpKxtrwKrIwSJ6yF1CZZbsvt1p7xTKOXQjHkUQmusZARUIdo0OjztHEqwKBTK7Sf2FNpiUwye/toJnSN5Iig//F5qWSZv4X/wr5wf54JYSOx/sW3J+L3Pb/YKpkmceDN1crmeeJ9MfhjMysSezgv7Jj2DsZ4NS3ljZCug+lEiQ1JCJylqncTN5w3svNN7dpr8vHprtYOI/EIn4HWMOr+FYH1NR08CI9PtoLnGC9Dlp6qJkihh0P6IoPZ/shkSm2KHTEumTP5QE6LurZGDwObdFBaDJU8PX5QBEn+BjdHr2HBw8yILg9H4CMEzsX4uEvOep0r7W5Q2/09gUYBaUsVWdv9WSJHT9pBNznchkmSsTlTUCgd8yjGf7P7Pk5mnE3aKTfy8LGXSq+CtoIXhrOd9wuaIkrAHI9PyR0umhyYld128LJT7/Vy2zUN4lvjQB1aONqg/Fh0ADYDuRYUSS04P4GF1wvTUzkrxt9bVZwrdCzcWnl6Aqnu6r2CUmUQDxNKBiLn/770Piau6XF1f6f+92w2Z37nle7BNdfgZcd1r9GgGZo4mfuOAb3ylCWhc9umskQjnqkUSSED0vPu+ta2tKbEdB5E1qYlIJJu1FtLq81/cFB+VXFAe3JFsjvYBTwac7wO6Dezgoq2EgkzT5H+BsZ2SSueOko8WEckCX5qjePpeWdDDI9pqe+xYkJjxEXSFMnGJR8kT4y4qk3pE3ru3xKEkYfXB1s97zzXoCNyUvWiaxp3Hi61VwA5SZOYfkOqnMByOeZPgoMUPOrJdafK+7yEPxYpIJFkwS2ijTyfQBpleoO/ia1mCkkjtFxI2gxXHjuggUEVOTgIO1JzZ8uakeJB50wiNUYjpfbre70Er7AuL51uw/M44ALc2vnSTeAIHYrMVl7KXAqjsTuPsu7tB/2FkB54UwT0909bIToQSykwuNaVhqsH28jSorbJxI12c7Cm4D+gZ3KMOqMvIikMyidbu7eo7Nkytv1poXHhglaaX6+cH/sLLdLTTaN/SNqCKmriv5z4VNmVvHpOKwsuSszk1dbOt0xl+rZzwRpqxCMC3fjworRkIIloFF/meWRRESlh6/qZ2owk7ff3crXsQG4gJoPsgQCBVsNNhGIoDk8/yCzvfAZinwh5OZSiL7wosw9PWRheKj9H2iCzA1mx0N50gnLBs0wos9D8yKZ+9B2TPAj/vyWN8n4aD6qmZdvIgfKiqjWBwRjqja8fGTjtBqVwsNAEpZF0kCF73gaTD7uRWNLsOwE1tA40+kv/kh6hf2g+y+NliUziz4PKqTwH5nv5cdNr7vK3IZnh4WejopITsZZNXgI9PzkevfvfnLPEtD7BxbrLn1y3NAKKcImihAA0SvbCz0JVGTRRtjtfRHqhTMyIGe9+tZs0SDAvaNH49TjWANk95KUS0BvfdnpV2fqxUeHu3/GZ5Dhd9eJrQzuQIEe1PZvWmh5RBesFqfYnc7VbTtaVPWd3HE2rCZb2mU1I5HY/f3xtpAdCwGP6S7G3t3VcK0gThLWWxW0Jpm1OO0YcCDZmjx59eNJoYw6k6jC67ip5L6lPMKKQuAZdOvdII1NKmVdolT28z1odijZcVuRKcGnxDd4fpa0lssao7ap2rVsKFrUeQFZlZuISmY0XZRSplAQkRWvCjbSDytJqhlTsEhxHoJ/N3D2hZTqW2VfCyvrYDLax+nIEPdgIhGvMNWcKjfMuplf3a/xsONTO/YFXq3cTHVwHoQ1eVRnyu09oKQYWkIsT58lyIl6Le78xqsv1Zv1oaZTOCfjcXLsatOfJWWPn/mSC9ADXmrbR/gTez1ZJ1roelAiFa0DygVhaKGAsJPwg4n5aUvuyN9wTDwyUxk8ILREQgx/oHbUdGtzbj58v7T3/HArpozVPcs1k1oBuCZYBtM4ckts/HSRN8PRia+foIlGM+Y2Dv5NKdzByhPO05nwgW5sdDq0SQBla+iRSLfqIsWKng4KvznLj32vUdiVJluoubak4tv/1a/tfiPrqlzYZocpgauHe/sZ+4xF6Ijdv0dMQICCEejnsmw4QgZknUwVy63VH2AiC8Ni4Mu/8xva5mKu8JBiNBU9vE9z6PA7BoEEcbmS7fVcU6Is6ds9v19wwdNLQ9rjteurv2FhHCMvu54TO3V3QjEBcHr/2LtcyBImABgVk4rojIGJB2hv0IKxlL7SrwLjebpxOi9erf/f+zN48nNrZj56JpB1G54WA+BMOm+VdD5LRQDomaJU79yII2h3gvbJX2LNz50Xj7OGveDaBk0QHJqAzlxwyj/jsrrcXlG59yzC0JEe8SmciN9p0FRSD9TvVPMjHyOdEVTiIDAVK7oLgGa0Z/zv+Efq66sXj4A+ptNEIiutOAdC1wDwB25/7eK8J64m1pbF5pw92mbzu7g0ioe8K7fhDSaj/7pfJbzA+JLh7mfOAMIREBmddfhB8g8Z8pvERWrK6thD/a1AcCJdXxqPjvwsIkNOTiqxgsst7KwW0TWj4NQ+G1l9/lZiF6+ToQ6BwtZJGC8rC3p4jIKbBzVe/F/3VX+c199HJOYDIC90isdlU9uR8o+8SigeKs3AuwzX3QrYN4uvAFUPTxT1j3GfalgI3fDCCzDoufIO1BeunzFvL2kRJFATaLwIV+dImIxr1vDez33h0JmKceu3XvE5ujPGLUui3GYxdtiiAqG9Q/OQI6/86lOWLDKyf15Hc4buNq90vaMz9Ex0haF733YJUutp9L3mPy/xztNbGR/j9562JyHOg6hdk4Y7IXDAF2w1e43srrYqGKrm0X/vo3PaRFF+Wl+jFuCVgryixf9MI8vgcwiZMIETLZZzosAWEVpO0gGjX+D8GbXGy3lfy+Dcdl7wuv2+QRFAxS3guuPbSpoB4fQ0vSf/4RDy0QEB4Eq9bJOn5a86BlkRcwUVgqg9iohvDVTvCt5I03XvNIfM0f+M0hezbKSGBuu0I11CoUUB2/c/GSYUMDGcoDMf28blTBb3uCGjFbQ7UCqAkjXTFkl6J33UCfmPUUArNkDw94VP+L/59bvqOIbHc/RkoyNnaEUtBT8LzWN8iELjLV9Oz4pEXpibRfukG2nVXZqIBoQ6fe911gGMI0ldXTrGZZFeoX1AOF7GcsXQmhRyPajePrC8nHPHrGezHx2v7pTf3xY163ceXMhkh83trfyohoLrEqOr61/HjXUGru1Slu5vWTfD4Jw26YaN+ncjFpzmuI67+VjlCYnldklq9wnuE42WGe91r2hRoB9xROV7HbUE6HI0n/64fb2xvCmJyVaFe99pPChYHHtG1CTHTV9r83f8O7cAQBDXKPUUhGJ8qx8sQb9Z7CYUgcVsQ41C70ffkNaXm23TiNYX2ze65jbgc4/cP7q9BAfq670uL47h3Ezsh4AYTv9vuY3CHldCi58jJM+gO+1N433C+4wBcjNYyyAGEyCilDdWLO3WT7dTL1ndI7qVdQ4vjJa8PRO/Ko98kAaAh4+921/Ylr1GS6lt+ar1d87q7PDcBaVFbp0T0zt0zWdnctn79v8Xh8QRy7p/WpdA193NiGmhR1TZ26n9307VyMguOs4T4IIKAefozYJT3W+lAgAl3heCnctPxMjRk9wieL5d+NC8JTK/6/qFCvs759qfx+Lwdbb/IY+zz8yr38KfxEKfCB7zP87voWRhxgYKJpO20LEPgHY+k34ZOhHO+hPJHv2v9Bo7uCmgD54ARGzHqkiTsR4RBM+pLmd+rEdDQYrkJCdsNHLknVBMEROauHIpxSX72r7uuJRLOGeInL8w9Z2i3OAqvl5eQR0HklTRqGdwGuqtS9wEwHGE9h3N42RE+n2Ph7R0ypum2LvmCYIsB3tmm1zVJPeo2Pm5DQ647NIp+NXB47RG+O2hPaNNdl0h+kqLwuk76J9nH4dwijLkXuEzbn+SLaZpppAQepjrVzvMDFRzi+/h1AMIHMsJ04Et5gtJ9YpS+tidnW036fBHH68difkoOxsZOLhrNqX/Wl74dTZcsvArmTUdw+X2VYwxnfnV8sUcInr8VEhEbcRE+yZH6qbK7rMsxMTUEzTEiEIK1CKHXtHBuq9sCGjDmncj0EFXXSeTGZb2lQ0jseb+wwYMSaAQXMTdPqg4J08ueO+zjv7YfC/nhxeVoTyARCVyJeOc7vCxgUP3yR8FbcPcIxpS7ruJh0uVlR2gLhYM2XXZN6+HSgXn0u/HfEfSVuPnshGuucXPf1lhiqHkN6hacxAPi8LJD/JQ7fCcRnH17Kw0JqX32h1pqr/g342R0w7QMfBtvqhjvPBNqvXmtkwd7zp9ME3yecOzIsVdEclpStEDtDmtAvCJsRhKnFMyUKRyU1318KeMZFxpfC26zl/649XiVQBPgyVBYQWQKLPsgLBUObYCjsdVLYamXbE5sSDCtGTfDX+tVLei/Oj7744tIRlgHL5levvEYowwKjL7yKl/Cg7npvULgU6969Ds2x0CU3CXhBQ0LkTa99s54UyIAM/1L62BsCmh3OLfrRtElHFgis3412jtGWphgIwij0yG7A5+ByCwRXxM/3ntT4ahgymirSA3e/8n/bpcfFlCWmf9v+vqc15nX/xgT3KlyNW6M8/XUrPDjuRpDHU2jScX5FSr9MToT7nk4z11JARnfBjIvpEtGjj3h95KP49+PhIT9Tn5ZOv/BLvzfhoPP2vNGlyAc/I0mm/x7BQL0Tcf43EiOdjk44TPSMaLlv/Bdk+2wdsdJ8E1/G9DEkFSF9R2uLXv9bfemo0AOxqIay3YTjYEbIjkJ/4xKuM4Tr2X4Wv4kKTmQnF+KivjXYPz3zsHE3lhMnI3HV669r+fgQgNL7c2cwdtN8OBti++6YzZqx0jsifl6/xACX6LKiByBFCn9GNjhPFIWS8+OET/gy7Cgb2pvkAEfLDDFQ1Wvsa68+yYUKrLw3l9kRf+q1/euxwvkxJ3fjTd5+wRtrlcdj/00h58Ov1ER9VXOPbQX6lEbg2AhOD8yO5whIDXY8yVamVefcRcSI4EqkAFDOyVA5BD0IIRS+V03rtz46hn3aBSPRboMQnIEYciZXqY+8AxC5RiSoPHEz267YZePwxhvnJm9tcBxtpOpGCZ22pSpLvNEwQDHE1Qy0QBBXZR+Ps+v1xK73MTHgYrkBfQj8poT431ll0wbzk+6JOFnHo0Yt6woVhTUSWw8kjOfoHERW92hxHmlYYTMf/jbEBBvWyPja7MbvMa/U8LmCcrEwTB6P16DY2J14St4TW2j+8N9HaHAIXBLXdonNOMJmnBvw72WW/bOQhy37kJCHe+8hzMpdG8E6oUA403P0uD3RbRdIFsrwWPs1Y9yy4JBTsQ371k8BySUu6003vfeXiIRuIuNM/AL/1xHus69xQOTVFJrneAhJVaH/IqUtOHejgBf19ukY0zYX09fpNQveX6V9LCuPKmXBPx4XduPT9f2O/ujr0TPXteB7v66rm2OBPJkYuka+d/rXnflwBrdUoWG31dhAsfDavR7tbh8cqKKL0NrIbIcdTwMqWSOFElAJ08q+3D5Yg/2us86mKf2i/fn9twb5S2iTvP6Lwsc4fvsz9z4IQ8nm0z9KXq3n/TggdmbmFRIb0tI2Nhsp9K47VAlKUl7Jy7HdSfJE/w+4vNo3NCL2N0VXQgw9ae5PuNNVsaFN7wucDfSnY2XnjubLJA38GzuK2eNtXrOQ0AYQl97PKo5QySrcAJgjNVqA5Nc+FW4HI9mcp/QKqD3vBsQwvfhhbQjud5snrIH8Em1rhmbOoGhpk1ydc9DEAZNwLtE3k9MgWDXkDGi63Q5uE/4RAWnaHgfIAGIvYUR2PH5BFRn93SVxKByjCfMJLVvzGb29KK04axSoEemHrXMLGJfyKQiGg2tLf1YJFLrHT45BAhfTMiwEOVfL7p3SPCSX5XbA16ahBPYvQs291U6RWgW5S4oKljRNircd8fzZ39R2On5RtdZ64PK2cP73K9ACt6VDQhrLqAfYW9TK2N03eJrWmhaOxOzwwnGmu73Ba7FlSu4gnZKM9LNGbe1wjmNC4XgcTQe6Y3Hmjojom9+TbLEz1jvPNskLJBA5VQdkiO/APcRTryG5DFGTsLqZw1SOAo49w/erECUjfUZq880Vt8mcWX9koTkE9dqgbMR3i88u0j+48RbZs5PjCQstAnD97k8ZZ+kzYtIisUya8RTKMtkGcCezz5AoirDwrS/9MsKFhUa7w3moh6BYlRYpqv8nZyBHbrGOSBvcVGiVdLJFJDuwese8f1StmnIMA+mueR6D6exHWMKtRNhQtAJD1mYlVcwG2Xq4QHnJsuUjCqRvqhfZVMvC8/vJHLExo1RlGzgIzmCStUVSWv//jdVM2xiD/fMHs5zK1s8RlAWRFoY9T3k1G+vhHh4kUiniiK4iJX+E9fGPRA4BIcpo5smHsJ3D3837lNfR+bitQQt/bc3y7vp4PPxBEGAB6VG3vnRWXdrn5gHb38Wq/eJ91Cow/B+kGu5v8dBzwKpf7vmXENVyT9IUBNk2Zy4dzIIHK6SuFdFSdSaI7D6SpMgHcS9wuYISiDouvY29t7/haptKkdQkmmmwJzVO2TBfLQBsiGq6vaeMWMtEHkIZZG1KMF6+XzJQvsx0PGmyD3an0T2jftzqVMiNw16EdC/kGSzebKJI3O/7Z3LNIiIEgKmULTDYgLojBbHB+fM5t5sh0vYeTpx/jRN3EhdE8gaSWtOkmu2P8VyfbACCfkR+TKM4ktt9Jprr3WZkIwgmR7Z44vaTre1TXJs2VONV9Z9K62FRY7LsOxcLyOkxMOK1NK0dTLsJBC4KBe40Dp/mKkyK49qoE3kg8L4uX7BXmBUrRN8EaHCv4dznGRMxzitEIIG5y4nWsOZ1t0vVdceNSHp47qTIFCdj1GbkFiEJIWkFOSJRJb1wmtI/MJ1Cs92QB5CG6dqMM/ElZn1iMLnYJFXlcaY03YC/GHB6OnV9x1zeGg58W98Q0ORIC0Sb1Cq1iGJlhfFUJD27x0SE5E6R+QKTS95TZdA9lSiyX3nv73JaXAjDggP319/y7OJozTJNc96gcN2bGu8X7aN9pGQ5HF+cm1PE9ubxlY3vcV9d9lW8dZjOvA6wizz4X4iM1KeA6aB2JPCfhl5dI3/ID6wzmd5ZrV3X0ecbJ5n1vSVLXCqTiLbrCvtRTgY46+Dg/GyxMnZryueRT96g68Z9+lgkttFjZkr5oqDrglt/4f7hToGmO2hUv66x3u/lMkIECfqqz9/f2HP3zrSRludNZdQM5usFPV8pA1Vjton0dXmD2cD+I6FJ7GZIZZhFuNrmClRuckKPeFGT2wxy7WgcU7clqUCiTZTHgBPXlLP2oseXdcDJeHAAvuesekj3xzJCTiLcdx0wQueyvgIG6EeYio4YEAeyBt6NHNcaAus0v3m70V9AiN9/DolUOzXHvLnPUe2Oi++Pjd7+3AiyW6E5y6Waz34gQ0ejj2y/gRnVa4PtuSJXECX1VqCS7vvHTY/oOG39nIHMZJgbhpLk9z2h9qerah4vT+JTwT60aYiTx6PLIgI6J9DWnlZFEnFcG+SSQYa8jPOsiR0UkYc3R+Sz0uTOl+5cYTvSI50NIvstETC2lV1ocV3sKASwiY9t9NtZUdc+yK1R6cbyYazKfI9cb/FTBF0DWVFEgTtxaAlHo0T/D/iYJAkT6fOi5MAx2vRI+DFQUZ/3PeW0iTBb5rLr0LVlA02z2o7WV0RtANkL5XiaNCGHqKrfJyCCCCvYW17EifHuM/NczAvUiXYqFPymVk8tZN1KUt1fEI0CXOZzEaOu+AzYP23N7DkeoTnVcnW6DkgeTgreyuSXsZm09SF6mnhHHD30ol9/Wiq9fnh86WcU0kGCWob9VBbbdrIrz9bbpUozAzRsUxmZJtNrWkECWCBQqGk3LoigIASvIHCNl++oITJXuBMIh/sTS3LIvvuowshEZr2ac0+Oqksyyur4AkQuL1iMf/wPfEjiayzZuMInlwuVe2Znwpir0quRoxZ6+x7nNt4O7gcIfWGl7we2fZ0iGzdRXJVBj1aVfVlC4lry2RI2LvEa/H7zXRkuifZ/6nZYprK9M1797k1piLNOWTv4QxcdwqgweuLv0eVORCB9d3wjvHJhVqb+Or49gMIkyap/BoEEbSQwPh91hUxXMNY+7aQFsnBJ3ZvksknSgaKegYHtcVD0UbC+sZ+YQ/mmQwuafvn6eCuCQnFxO0hkzTVs6pR3Jzv5NCWSef8b5rwrILKVP67TiN753Bmy6q2WdVZkWZ2by+1+4vMTlaNzVL8eFqr8ROJaNkj6U9S7+4P64Z7y7/nk96p4xqJfmoP5qlt2s7OV5We0biNbLnt7GMr7Rx3az3Ir/f4UiYjbGRvH0wlvbs3zVQV7U8bPTCyQ9fsNk6rka0qt7FcspV9H1uwJfLN9G41TkWlmdgGnwctuNgWsavclMXjHYEJXJbZyXalbJ9gxMbAe2tWnLYBD5DvAVMxjtsV2kComFsWJpu7286BEed+E1IlIFOxq01/XJHR8+T8Bdf5nxUjMiEJAxk5UWWSDTYrEmX8zdDo4aMnHuBUCUJRAXtM/3AvtbqJ7GLd2Hn/YoDmwDH1a/sze3g0tQ+OV7auUou3rczSxgmG+u5B+hm5aFxIJ72qRZKA0EIIiowLPDzY5NFa2La2V8R2duF8bjpktMNYnL/GVKySpQ7iQd7UjoOfYbqFPflekdvDRaEgipHZ146mzgl1iJ3Ud9Rq8w0VaupbIIh78VkkdLjDkkByTwgIjleAMTxuu66KlWqnR+xmkmY2fTYy0lRFaZq4hA/hIizFBUUPej/WhKovD1Pz/YBsWRq8t9Bm1q82aGe8hfsnbrphpF0J6ihQhI2W9U0yRNXPemCDOqmuqlI+NiR2Wrt1L8Ot+/NUbq24AcvThUAQD5e+H7tHQKacVHxh5xVJZOSN0ArB0vUwqBIn+SZFZq88R4UzVMtegpy1kGPK5guL0Lbi9wTANCHp6GyaZTLzm6WxJUkizxrO7a2DTGaNj0/X9uNj5zg7bneQuJ6satufFbY/yWT6JxduayzHhyeNLSrdhB7rPYliecmw4S9otbDxk5R4ITSZzvpWyxxoKBrsYJLZWdlYeY4rr3tWSTYIyvAvnOO3u3DisBCQQ/LX4P5MQtOrQlcbyGtRkNyQgGHkJ5t4soyRdcDuobcezI72SZILrck87uy8Huzdo6ltq84+RL+9b3TfT7adrg+eVvyO+8/35l6If+GRAnEvvCdOaC3qeQqIjFzSYyuKzOKEfY29NbYLbDt8IhC8wCiC+N4quHzixDpQgSgRMJBS0JDEorqxi/XV/hXOR3yShsR/8Oh2ZFmWaq2dlxhM4vIcMm73HO+xZ0wxnWOfjGWsN0kzO181Suxqv6+CZvBMlW0vef5GJniRHU5Si5LE8r6zRvcitrJhutOdDzLvJP/ff7ZUcXIwz2UVsMgTtYsuZMDqEhmSOq4RyJTUbVtXbMifyJtnwieaFLGSfFyMiT9R11mc8Fxjogei31o0y2wPU8HXxoz7kicjHLRK3tyfKeN9cy8XqZVNBcvxvOudWp9huX2lnhgqi1BFnK0gtmGdzQJ1Fs0YFgGZVXVniyKX6EwcO1h53aCOOFgfRZfiRGL4s3Azs8N9HmKs1YfL/ntQ5NN8vhwzvaneGZVip+ThzcXC9u7lTj0yTe1kWcoW/ZyAsL3q/4eide0nAwI/REZ/XnSHp7pqOUdX0mJHfTRNbFM3du7N7wIJDW8PGYAx2ZMmajUlSWqTqVm9dpWZgjsErJSHKLGLqrX+bG3HUMVbHEOvSIgh9wobI4gSmzBJG26qXAOCvEh9XqxKm0oWWZc6cy82uGPvkqrEjOvlKyGSEH6m6oQHNVRQvkpazFLnpNzRxkvtoMh0z+XEWVDFNe5/q5IGEHWY07jdxWYwn6ZKiIBYnyw3DmEiyfUVpDQA6E3nvCay83UnyJw2wcW2sq/fm5nVscyyWEcKhJioDYmq7jwZHPrSdjbVRelcu0xqnW5ThCzXda1r2RBsSH4hTBds1N7mnk3Y+5zoOnIPfMJGtcl70+J6crrW+8Jx4jPGhNFAslWCTuIKUtN0l2Z0rA21GbwRnhCnHUQucKTef1bbg4Pe9vJU3/tkUzvDSWzg694GdvcBC/buUkchrJewdkCrjqZm81mmqlpkcZxaZdGeCC0jwIJ0lXUnJ2qIfCwsWreoMz89L+3R2da5HI/aFEIn4B61g9o7R0Vi0yy1TV3LCThLaq2n2RyVV+c58tZ+piTq2boRIbbDZdj3wxbT2BY4qBIQ1QLE8wQr+8LKphRUHtAn1qACFffYcwA4PwmqQY6nfRMPti57JRlqdeSx9Q0hjZZnKrlv0J/KB9egW8GxG3oup2vQqqgGezBPLE8cCst+gNS8pONl0JeqUOgHnolBba55SqvUtUfzJFYV3viKn72OlqGQOI8MS0fDIyas3+k0s4XQhN6ON7XQySxLbPD8HTnzhjFY8TV4KvnfkU1lTOeyZP6eBuEsGWyIYzvIe9fO9q1WFZe+5UayTnJPy6WIYjsrK61drj1J6aXujefwzLOJvM3O15Wdbvh3rdeFtihxYdV0SvxAlUjYkiG2zZbrX+v+sEfszXLLYsz6BjuuQCXY61Nr6taWXatE50hEL5P7L/QCWi0/Ol7aum70nWnXZ0lu9xesadey5/rQ8qUtFSf4FpFggdq7JIaEK8fxm9bNNLUHIDz7+SX6+LqPL20yQrXy3vML/Zv+MagGluNRnNgizmX9zFOCTK7UDNWKwYrZsaGDBTMPE5XwJOldVZpHNjQw3XkYGptnbjMCxuX9PzzZyiIeuDow2HUQLKrBjorU6pTExfkXBDKUpgn8f/N3LHgIbCAdk7y0B4uJHRzO7P6ssG8czexiW9uTZWm/+fjCufDe4JsiVnXMVE+iTQqIMCl6nTdsfZw0I0sd2cxXwZc9bi8zrXYW1SvJGD8FsvXkKFXPtesv358WNvTOPZKg2lOBJIMmHAJnYhynMDgLLRhxI9h0ITZ6W/nQF8X8SpLPCAcliW0GyF6DZI5RIQxBRBBtCIhwMIpY0OveNLF4AOEaVH1A7KTCxZJ8MSmssFgJANBo33WqmCA1bqpOwU/27f79sO+eTXJVK0QmqhRBsH63ZxMQ8kPri3QGLgWJUeY2eoLkx6dbW0xyezjLbM26xHGzbhXcEspMrj28gIbv7rhGHEoKu8EmqdsASeK4ZrikkkdknvMADEuQYdOpSGC5luJluDYh5xKz1rn/6uVxlRzCwz0NAmKalgH+9y6gwMS8JpikwV8ILRrdWwLOLeNb3KuLDchWpmr0+UV52QZkM8fQbDpNrZjSG+c8aushOvhpm0BelVOvbnRk8yyyb71xoMq8bDolhqttbc+W3SX3heBCwgxicLqmDVU5tMiZ3rr75l9bALunPHe4WQ/2YJJalrZWl53j3ZCsen4R77FqO5snkcwCqe5zi4UaIKoWWlwQ2B3fZbA2SpUAtoMLGHz/8OzHoYUKkbbzyYBvJ0+U7PM5LLvI1pVr28ZqG0c2SVJb1aVrb8lS3smjs26vs+ZSEUHCSgKIqWBZ2appVaX/yltze7be2ntPtzrXIo/VHqj7ziL0Kgi6WWYJMEMf2bYBGepUBLEWaPkGYn8gGguhhC/D9207K9e9dTm8BZdkSWMjTez+wn039qnL1iqEZ14nYmak68ua4blj30pivGFimxe5HcwiISwnK9Beb8bnkaHAI0PJdm/mJlTUyhnxb8K1AaFqzra2B9QZDfb0pNH9J0kOBR45J3sN9w8EDRNH7hdvQALaVXjBDPbmwcxOlpXIoyQ/FHHbtnWtItpodWenm0rXnqSvbkGdtkIqp1mihOR4A3IYu0ReRYxDz0RsV0IFF8q5cNZwzfqg+hq5PamNrMT4r3QJ5Fdtmtd0wBR+dL7VxgcygvwtkO1KPtBUsbFtqt7axlWsrl/OonBBbzyGxaH+JRs6i4+qtXabMv9dprVVRaygwSKiqpKewzUbQNP0duKH+YONvEhj13yH8Tk8OmutbDe2LGvZp7+5x9hiJG4KC/Q4MNPGf+/RAmBNKis2e6A5gg6LtdYGQjvBZebhXMaM9oCQsPkfFYM2NYieQoq8M6eSjNDT9jAlldsQDZpaOFqYRataZlnXxamxP4P4Fd6mPUgea0TQ94dFVAPapzfr+TjhPDXtRJLkN2CRxJreFhNIYRPLuO8pCUEsTsVZWasiLOutkjDOl0QDW3C5tpJk+OqSzYaWC5yHhYf9+aPTLdNOPvkBBSOwhpYKglgkfokjkoKYDZ1z3jxeteoFR8NESBNJwuEks8Ra2chT7cmJdrwI/UKUXXvSaZ3yd4LoaVX4dg0fTlCM2ByHyLLUt24Qp/KtLG3+anGBDMZKghCrGk8IhIkFWiJyifWLYew1w/RM4D/p727R9BF5z/tkfHS6FfoYSIia0GgdlLywzuYZ6WEkZ1rseIVKhGfb8xQIkiKc5qls4zdNb6fL1i42W3uy2lF3FXrS28cXW9fHpy2WRpYyUTBKvlXtAs9DANnUaudwDhrjn1zJtodWAstguW5txXcrEuv6xi5AuMJEDZLzoGXxoHWYRYmtto29d7HRfQtE+KC/ETgwNQiuT0JAoLCSjygDGirtXPsZVvPrreNbHM5najcqca8qTU5o6sSTRAP6eu2EoHcO3mLiB0du5lDlLJ3ZqursnSSWQy3nzcPA9//gtHLtKK5VThLhipndybHdqTSc0/m7WeoC5VnP/gXSktgkQU4+t5lEKktbl65dy/mnWWpHjIZEiZ2Xte4969C1vhJbFCSASDiAGMVW8H55r4kfnqMxr0ocC5LTmsLEJZQE9t1LVPlrk8ad1nXQZWEvCAWmPGjoYvlCDmRZSZU3jaSFwxp9ck5S11qWQlpuFDuC0N7+3PHr8FPS3gziXdWKJ3Dp4FI5gz53hvxcJHG/FwdtlSI38UOeeXRWLcd4ENmVdZZmFN25WoTb6isC62s7yAphRz9dlurjTfLU1tvKQZgiFfZXY4y+IuFQ9eKh/d0joBznfk40TN2wMKiA6csF4tVNxeEFRMTK8QpYwLvTGjdN2vC69YZMvrZoqO3Jhd+46K9jJX4NDOsWo5vmYNOUq2PEdXFBk1YFDwyJxua8UYa9K6ITGPpsmLDrQ++Zxb3y35P2D5sCXI+23djDg5kSpBh4uqW/SqvBc2FumIIIwY+HSygHCIhPSORo6ltpVO1UvjDOt0Z14M62GE0RqB1B9ejfi4SN8+iiSIZTrAV4GmfLSmQ2NrVArOshDe8YyI2lzEnn6gFkjFYAbZLOjeD5sVTeY62RSMdRieEQ+DFBBd/A6PcTMR+cl25cM4vs4d5M/IZn2KD7scnrDrWkSlcVyREWHoFn7LNpVV2nnnNZuZYhwUxJi09u4GlMp4mdCQVyqA7XYLcyBEHRffMRhQ0uiDQFjsWl8+3o7246FGT931I5K3D5ixwQDwLa0/PWLgTVc68yezCfWD+Udtq5JF8TI0yxbHubFpGdLEFBjkVYh0txBil6R91SI7T+PvTpYAfzxBcfrWS6+Y7hu8CDiKNKSR/cAjg8F+tOz4kIm+MvxTPjPW1EwPXj5IGTo2AFb0Sy3p0939Y2SyI7p7XqP08IBdfbt4lJbrkf7BHc4zyPrB/caD9rE0Ip35NJCRIDeEM/fLKxDu5RnEjQKjhk8xm1b3mOR6EDuZvnkXYuaNCKTL5uRWB+/3Sl9wbtcYQsrp9rHXZ+n6ANw7lCpp9G7Z09tVi/PAvTzo1Jf32/sDzP7flya+tVpeu02raeY+Q5MV1r2y6xgwntlcjOPE+JgI4TMgkpxdamqm1TukkoriWEYfg7YV/jLGVsqOTc8WtI8ogRJAjXHSAk7NvXjftLuI2EgPvN9wpjy6wdkc8HK9tWKHaawFNjEMHtnWp/elQGTs7F1k250OZjfYgv50VveO3h3N3QEt2sYJLnkySpstIq9ZpXwark4wuXbEuyX0MCU6FMjNl/pcD6mg7q/Iuq0mjUPE/t45Otsuu9vLN11f8EEhFY3GwAC3pwq+uliMdqjmovBLGm7uUCY2O+BMFqbLEdjtvGdpn1z0uPVoSo60c1bvrc2TQR6tF2rZ2y8/ggq89mSoCkZEc58aaDaiIIG40/k01LKrMkdVGvVpB4EAPTRiQ5g64P17XbuEq6uSHRC90OeCAkJNpsvZAVGzHMdaq2hKe4T2wdQTa9UqhVN8mPsFLl8d8kHOt6qyST6rTve02r4KXBpq+EcDTGfR3ZT4ENjkWWG3UbSALtFnY8STWPSL9qW/lxRnRW+L0bkYzF8yGhkk4Fn+vVe0FhynbtAtg14mHhCAkX1R2ENZ376GTZlM7WsP0dj4BRQAL2xbqX5gzfA0RwSRXpE5Bdn5pQ1dPCZkrg2apx5Dd/rmPBs1elwIXpput+HlqKbKixZ8GSRNZiFjqth9CKlCYNFa1n6PJtN1Wl5Dqop4Yx18v394RH7scpEcYiW0xiS4beno1UUfn8s/WgXnwb9+rxh0T9uiP8XEnESA1UqKRPPgmKWmvbzp77aagw1RTeg6Qb8biQNPC8QU4E5dAUkUiaLpEjEdFn+r9nyu1kTRPSEzY5D0+Gh0c0Tqg58tHfyh6g9CTa3uzJRSUuxTTPbJrAa2rs+dKt83BuKhxGhQW3KyQ43UvWRvgbzmuzYkx1afuz1HFlMjQ22kv9FQmqQfRnMq0s7YyBg+1wOS6tdgrX47RS0qfJMQoDzx3jmklZFuKnv8Yg4bTCQASZrllME4tmvXUkwc2r+25d3v/Rzzh/iMZCkDkJ2rOVQ+ir0fty3SaMC4P2or/T90JpxsmTBXS6GqzPOje9FkTlRrFr5vfBsbOyheRIPMHeLsrK8iiye4tMCdzrPr6UnBEgLaBYwd1VYxd1Y2VZX9qIX/837uFN4tQOpq1FnhgaNrXdv1PAeAWJzLEmABvGJ1EmDYuM84QHoJn5a3Z3zfMzctgHlvjVmFvY9Du/IQTRonANQmAIhNMgdbw7uXN5RFfQfcLmV2G/7aYg4KW0rYMlQT2C3sZNR7oDkdp4sx5CRdzoQScO7U5uhI2QSiaIiYWkkr3qZNPZInFcgvEI6vjvd7+fkkfPOyDBBemBw0KbjYMAJx7BDkkX5K3euo1PbP+BJM3xJnYunyZ2QsslaC1ct5mP7eXbW0zR4CFxzjNg2npwPW3/GiSpw7XOr1k/YROkZ191zSUJe4z4jdU4byJI3nRcp08Tfq7zYj355KDzweam7zsOALQBb1tcBDvetPOJ4nwyWNQOchlWwjv6cyUK9Nq7Vs7DN4mbheO6daTxUr9ugvjXTRMt+kyPvITP5yMDegsqg0T8/tRpuQTi+PjzEf5zBGcmjiKL0sHKzVXguum6hWtPghverCCYVo0d91c/H1//gOiEo/0USSo6LS1jhX7UPBD4bbQ/hcC72Q5K0sL1CZ81Fjxj7QdUTAJnE9fCUQLrUSiXzHZWTBy/htYhBPDP6ggtetDZCbyYOLkWMdd1FLpOS9U0zo2Q5nXXT8/tDWqMvPcycNZ2fqeiWQlda8/Oa3trf2bffrj32jVGwrl8KZERgoZaBPTtVBG60b6bNOe0eCGuyVXoim/BEchYYVT206zb/g4GUC87wrMX4NjdQxYd6qtfEcccp+NqOmK8qYSHf2zgNNZuGCsY7h5sVpcVHqO3F06BEI5C39WOj+GTiducjcP53KR+KofTEhjd7To3CZLdFKxDNXr6CglkOLjftLeYFAo6H+F6UM02N1RQfBT77MXFzdtzuP5ovaj6BIK9I1r1sjVWYzd+w3qVhoO/d7v3VomAHyHn/l6H4AXTs1dRtw1rq79lTe9q49yGNr7KEUiMal96PxoS3jFCEA5e83ztxrM/jSP1ZZvzht93r/A9HZo5qJ1DgjReUSosqLL9FNn51rW0wvN803cYP+fjQ8XAK8gQhyIm/YQKxiqSmHjZWfcvtEq9Vsc4Ebruqbp8Lv13P106lDCY3Gm6jvdBr+msted++ufzsK3gOj6mJyN6rV0mUGNfqIvSOfpS3HyatTZG7cMReEi0KCeF2dE8tW892LPH51v71huLr0TPXschombErLabXDgHGWGa5Za/UUD1QkYhKAQk4dIMDMiVCjb06D/BuX2aILN73Pb5AcLTZJCH2MPPbzpCZTNO2O5qMR5eq7aF/x/0k/VA7JRLN3nWhIdx94ENn/FJTeM+7aERZM+d2b0eTBB82oDJ96RPHKq3T7Kubnrf294r9Lh3D117quJbgmTgDZA43fX7h1YWSpmiKNjrO3Z9ZNBsuC0A3TWghudqPIX2eRyc84VHLQJnZ/cofUFw1/MYPodz7D6HvxNC9opvHDhUQoI9jye0fV8cc3RI3Nil+PM4+tF/7yZcTOw1n3EiYiOdJuIWI8aMaDO+jUUCLaM8fVUf4k93vH4s5qcEGYFcuFzX9tHZ1s6X/Z2cb8mYyVA1TTHOpgMk6AlcY3Thp/kYPwDjHrW9pFL6pEHiOgSFB4LAM64Ob3vwgv/GZ1URfybQolcaHfuthOOzOs/P6/tKlfSG393W13+ZqypH8Cy5yzEmT0pK22tIfBHHp0U3wzGegPk8E5FwhBh627m/jvO47hhfg1cN7J/HOeeBLO71aqRCe8vrPw9k5K5Hs7OnvOpx2zNIgipri67VVM//+dGZG9V/zb40X9o2jZQui1woBwSs60bbdo/rWnIkMJeTNr66573aWy72JQnTfvqOwGsYVyK7vecv4mDiRxutN8TiYdlFRr6oQ8iSJ5XZ53hfg7jTXdbqqxyXWiGfsvq6qw37y84lTKQEl9SfhWPXXDIQQl/383ITAfin7fgiA/sLbUhaV5joeTG2n+YjuqWF+WkPtZkhQme9PTrZSlTtiyCwfimREQRdnAkWBMLkU1Vgl9C5h+ODA+V1h8ZKg3vvazrC9MNdjkCik7rlJwisn9di0gQMiYjGXK8nkt50jPP7l+X6r7oORPL0pMrP+5AQ0ivekLuss0WOG2ssZdbPY13eNsp+EycoJMM/7QEiHKn3FgrHz9K533a8/tr49R0i3wsBSOQ19lkcYZrsZykRCcfaDxcgEIeE/hdxfCmTESCoh3sTzWzj+4FnxKd9MIG7Kl/VXRcog/kYBDPEOaUQecPxWQUFiTSZk8c+Qp3zDn8TyKRf9OY1TgyC4ifXLvBF4lep/L2WwvQlidl4cui215j3xnhzEclZGDvuT1PFBzXT15mAcv1IQEAHUcQ9vUEr4bM8p0/6N59mk8p2rsVn3fvn3BjzZdRZpnT2WydBCITK3SMUXIGQejmdMiK53+X4vK7VeDu/bSDBqaH2TvDsU35m5AvN7FMUN9ENP9P0I9okn/P9Z+pof5FrvB8Jhtd9fCmTEQ6yvzcOprKoByV52U3+NMEm97PckneHoDfxDqPXPLx6MD6jFcf7yH8FQq23u37ZBhDEjnaX4u6Ddd0pjtnt4fXjjepVFlsQewrvh65I4ln8oXqWlP1L3id839BLp82ze2T+fQ5yx5yXa/AN3zFswrJw9/1WOEThe77qwXshgPbzh4n9yhu53SuuuEjXvVbW7y95T1nEvyT51D5MK4SKaOS78Vke4b6bv75cVwLFHMXTl2ysn6aVif5TEdy3WfMoscZmRzkeHDdf3/ERgmw48luesaBTIm+oG56V3ff7JMdRavbG7GaOz2d5BJuIyej7yPQyPC+x2b2p+3e4l6+aPCrIvuLf3OW82V+53+Ezdo9gkifNnorx9k/eOgrfmc/BciDsc9wj1t3LvldYF7lG7X8yeRb66h2d5VnzKa7Vy5Ij4gOu2c+X1VeiZ6/zwBEVrZGw64WRs3DDbsoLX/b73UNumn5Rbv0ESe6r0BBwNbI4mosfS8WHjeyTBAvGZ4HhmZPX2C6L2c/h3wb53TRaOX4Ixv8ddEcCAWxM4A0tH5lWeeEnqXciMe2NB5ORP8b9mXP01IRP7CYrNAvvFRXHYkpjw7abjmYUxLEyh2Sce82GKkiaeyNELMtn+BFFmHz19uTCGU6RwEjALvSag64JPkUY46HkiPBX9WoTPfpsf4PhghylGK8l0jhAk2WsgcLmxmeEce3grnvTumADk1S9Vxa9drwb6X7v3vxZQ8AheDcjftWCytEbPsJ/kWrrDR+8q+tx2zG+FkpY/TOnRNyvr9BGDc7UKSZzQSDOny/BBIRDUuwoZ6IREzyZRjokQVwOh2AJlnnpeplbMj47MqEM58e5UHmyPq67HzepK4dDSsleqVgignfM1EK7dfflIHt7MycOx/c69dot2SiAc90Y+cwQFwvWC/55oTjgO2ss1hO4X5XYHhzDw/cfCxt+0kPPtVcovml/CJyeIIDI8xuE0m5731BkBUfe3N+HIGQn5JZrw7XwTuysBf77pmtzf+LOo5ebttlC3kFm6/UgTynMLAfML5PEVgMy/1fJ3133mjF6ddP1dSq/mS3L1tZjEafXeHwpCayhVYM3B+ZP+EuwEGZ+9FRywH6zYSGhTqkpDjJf7wmBH0dQVHzp+KT3JwibahBRuiTr+c0QkyseanxAVIV4waxPOrJKZv7GLLcP2lqiPeRe0R03v+uOwIkRTOuTBBIn/jcPngzNEi9nLxewQc6vyIqvcV1NzfYJpkguew0LjUPTutLDkNjbi4mdbGt5XbwQhLwU9jhwvkyXhPPjYRYPpuBaFLJmz6pefeJN6XqlwQAwzVPL+0Fulkfz3OJoayfbRoRnZPUrnx0IEfFeM67tFluHI/MoAgX+TSDahurHRo6e5jdygh4KjM+iRqZjc3xqcAbG1K1213UxiWyGpDWGhM3gZJ5BSUKixPihR2vk2+N9akBaGFO9bjPURAwKsN5+4GXrIeiAsBGHRCmIxwUBPJJPCLEkQTIaGx0k4/s5EubO4Vn+Jf31CUfkA+Z04r1ehp900A0olVTJRy62IFWJf3ZkfgZK5HsOfCbuzPMByfTGstb5qeA75M6jF1I6n1EjYhXQaZ2wD3CvdG4eneJ5kg0Caqi5T0a83gWaRCTdJLPcXxA3kdx9Qr17XKfqG4JGkAZHoJDkZ/8gNrvob03kwrGbsKqVxLOLiRqFURbrf3dxr+9io2t8MI3lliwV6bGeCWsm+NZ4OXHpgLxiFhHWDZc+KMPepA90lyMkCy33Bz8WT3YPSVbgImmCDJNIL7TIM3ZTghj2O/Y3efOg9KznN7blptczJ9FDLw0vJWeuW48dhLMMiOtBcg/tdSO3rBUS9CSyNEpk4dG0jS3msZRnleRhnNg7r5yxLlMwGA3X8qYx/PDdlRxBgt8RdKSNzT6GYei9ee6c5b8A0tOXNhlB/nbT1LY/ya2qOovLRjf6cOI2ccydEEVr60GbIhsNwRK+RxRl9tbC7NmmtPONr75GwTHc/HEWHvr4ISgEbQ02KjYpHng2a1k7+4dlVkS2KQfJFC8mbhNcba70UEKPutkx8+LQ1Elv9qxsLUVuvHdWSp1Pcsy3Y17lCEJWqkB94oEks4S4uGbyqopsSnafOsM5/sHOm0SCh671f0cwxdvEjdcltj/L7JtHM+t75Ol5YJw0P0FCTrqYXzXOS4EHsb5j+4MAIsOsAnt43HcT2w69pkckAe6DSpTEdlBksilHJj2zQdbeeHlsmkaiZrt+NGwwcR7ZhOy0SCyOsXzvLYoSGYsxBh4SEjx6JDAHYRQJft4owkkU6/Vepo04GqMrz6bQdpGVsXNvJQk5XGSS+W6jyBYZCq+9ru0b+4XtTXI7XW3lsAsPimCoChc79CK1OGrtrHxxAxIq407BSUJnTs+gv2VKJIj7sSmGRDlUmCBP+2Q1SaLz5SZ99LxyzqleTE+InBK/Qa7GTDPgjkbyUN0w7bBf5JZFtZPw9shiSIouBdZAHfxUEG7LE3xZPOmZgCPTRr+RK6GOYrs3T61snFO1lEkjk2MvVfW0QKEZM8dIazNPcaOF6BvJORXvog0BBgJ84dY234vEg0ScIMS/iyK2AuU4bqvvYyiIBCGvW6pYAmlQEA4JOMFfLdcBs0lnutjtbOShfanqeuf59lYuOgcsCPIssQnrw/BhKS1GcpzEg+clR801ksppeM/xhJ18tLw/TBDBu84Icbz/BVSZ/80+yjmCgipIYo1AcuALjpsQDZ4jSSjgfbOTQEvjyfvOcL1BhTHDq0My4T2iOM+xQNqudo9av37NkPwtityWdWNNg7lnZLNp6tSbs96KxBnZ4ayLKjF7Cm0i1ioX6HCaWoUN+M594P7Kh6c3uzdPbIhJPDo7mmRWNVhi9pZZZl3cyZyT51qFnnfi9U4Heq+xAKVG40fXGnpASJL597Z0eyLIq+4ra19FdmTzNLVv3J+LuhCM917n8aVNRjACmmWZPdzL7fmqdK6SiHAVsc1QJE1Sy/rIZoWzjOcf3EzzNJMvw9EktYcHU/vOk3P5fVAdyKUWjwmfnATvAzb5n1D8HEYBfsRRkFUBIjQF3ghU6QSKxO5PMyE4bVtpg1Xf07lX6+Fj0el9fUuIhRcMoe7NCmsxsrDOprWzHsexdkDqOthojzac67JsUKMp/jG9V+zL3UPBe+EJg6kD5oNEgMmUgO6egG1TC0nijZWQ+R4OiQimdHsT2hKRvSHDs9hON6U2mncOp3a+QSq+F7+nTRPb7ytV22xgISAFdcfxOQeuQOyTDD3ASHu3jZwyJyR5Hufmeutc0thmRWLzIpFfTVFkguzPy9bONs2lOm9I9rTBpnwfN5W1N0U0iGtAoOq0cRxmzlhNbUCCvsdIJ5PUZmlm80kqZ1+SLt4HIT68IVD5rbztrgzvbLDji8oSuE3Yv1vszNCiwZLIGVyxC16Ua2/0eAUl45ET1DJ1mzySEr47wQQ/Dqza9+RgfYXiETB4L34WkBCZ2YGy+WDC+mbNLIrUDuYTa9veDqapkiM+RwE7KPx6tKQrezuax0r6Wa+7z0YwNuSzLsraqx9HQlRAjaoOg79e5+UQikgCayBGVKQK5F5hWGCEtwZg45Wsvg1ySOX54vdr5Lb7XmjpJB8c0tR22hNUtct9NnbBO8/s64dz259m9r2nK1vSm4t6K0H+fNQWisH3JHkk4HjtIa1Hv1BvqmS7QI4+SO1kPfJh8b9n2aKwqmSb6h4PnhHJO6AiIDnXoZ+073ge3jyc2S88mNuPTnCl7iyLCmu7SiOeizxRsjj0zn1cbuSgPKPk57Ko8m0OEh++08I738qtG/4GLTFyTh/xQ1uHZ1Atj5bENLFfejC3D+Sk3thekch9loSHzwytJva7t+/lEub68KxRK5XEb+lNHrm2AQkiAeXaXyJp3p2c/54VvDaxiXVqrcpgc0RC5Zk4mtEyLexACCnrsLGzdWWUG9uqs0mOh4vDOmnrUriCOvDc403FOiNxbY2E1iO0vpVFkrOPj46HkoYEFfDE6gGbjEHeMLhUkzTHFJETChaSY2eg01fOlZgEi2eUC4RSK+cpV2mf+XGfuSBSvFbbMrZk6oqVnOQP/7EiUiLEvjMkKAtv7Vd/7ugrb5rXeTBHjTnZsiJwuAjO5uxIR5Ft61qujfM8lX38ioAkf4REUP5Z2crXBuorLQApTXo0gmJIbQz/0G28v3TYgFT5+DSWBwwUYZL2QhXiAVtyglNs0zSRRwYGbFTcQ9epvfAwi2QwJ88Ter+R2cEss5oHuMatlIQq0QM0yWIFyYqEaohtNk+s7kEZSgUUTOe6EMC9YyUPbuBUaAOTBbrZ2/tTJTGnm8riJLZ7RWLt0NsiT+2kZCzMVTfLmCjARk//k8+PLYucoRgXgM+N40TCc2VDZTEoiPPwHUxyGejhMYOrJdU/plXco5Ix7AbHVp9weRg28G3U6ppSwRZy6GzawVJQhVmm4INzacYoH9B0XFk3REJcBOv3gz1aVpauI2sbnG3dfSCxAJ7FvJAkLCRrIvEB/6cgIkQgNh1QHJKFyGZC1hrdH/Xe88hON4Ou916RK7nFD6KssAD3q0KOwFTcGLtxjWgZ8B0HJaBZOsiQLwItoaU1n9ohGRMOwbhPZ1iNDwoG2ow5X7UMIntzGlktlMe1KpSa+qBJlcTCdec/2JAOlrImk1TB63zbWrLtdZ2IKSQmcC5UebJWaI00nQ0dSFZij5dbO1k3LmFOR1NNEAvTSBX9qmqlJUKwD0E0IHfievjPokVztMfzkVjbt3Y0K5QkPDov1epy3jiDW3sehz/12Q0bv1qJaKhwvhMCQSrrdAJuHKW2KFrrlqWdrfCmchLvJHSB36RzI1kDLZiB+qS2R7VigzxD9NraGQuSOFJI8O8gJR+ed11in9xcN/o7JrfyeSRIOPLiGAsaFNoLIRnuQ7uEwOqr/yCOFaYudgmzjSdJysHYIls2jHEmQuWerErrukjr6pA9wmffs0lmQ+8UqrvriNzsQVlks2awC8+VWJDEeo5XaMUQOJUE8ByDcEbssp3Ni0jKn+xP8zy3gn05Sy3dbm2JS7CHVtibD6aR/cKb+/rsZb20be1GUZl5F3cLTo1vZ7EWIKaGRIZ1wr/354ktslTJ5l5SWDKP7eOzreXeI0gtOFCRNLFu6HU/3zmY2cnH59YPrZBw1hJFxsG0s17QYu+4PCAM3v+He80zAbLGHqHHdBhsiSllg1cMhaVDJdgD2p7vwl0x25tPbFKD1A/2fNkIrcVHjb2K7wBqRTHd+sLmCHS1K12il165cIsP5FuTnBeF2TRPLWpqQ9CiT0BeY7uXp7atW7kCP7+o7N6i+Mqb5nUeVKK/9GDf/usPTiyKY7s3Ta3uqYqoBggwBBf3z+my1kNGkoH3STs0ykjPtp1lw6BA2fO33RWETRbKYppmmR1Mast8EOBQBksC4+G22NxiTiO4FYMCEO/LgltMM9ubFHa8WgtSBgmZTzORyoiOQxzbXpHp80jrpxUVdKr3cnBoYkM32Gpb6YF8uJgKkuM7T3OCh8l+XMGcKtm7DANPyqDNzB4cZPp+2F0jG1zkc9ufkKhlkg7+6GyjrD3wIwikfddpM+VDeQh7nvB+sFis8NiiiOsVWRxFdjjNhATg6ss9EGpD77RrtSnipZGnqVMFBPHw/AiSGtmpC3bGhThWwsQGQZulKwYllE3Ti7tSTGM7WzsjvfvziV3UrbVJpBYDGRjJEXubzqHlnra6H8GLKBBZLWz6eWb7OT1WyIA4/kY2m6SWbjjv1m1QHh7e1sOlyR28FW0uHdArm1Vk0yixFT2COLXFtLCyLbXhcZ8FJ/vEtUgSISSzIlUgqbpWiMobe1N5k6zLjbX0rj2/iU0ZtOfBYmLrsrb1Sa0qjRMhOSRo7rFR2qAgwYe5QNdbXAyW9oNcfZG1Hwe3EFx7eFXcA1pHbWPVptR92ptkVieNNniWpoO9UyWusrevHI8pEEzJ53h+Kp8ME7iULGk9Yo3ukIpocEaLzrTyqgeO0WJAyULgFvE5QPF8TuNQvGFIVM2+c5jbcjPY02WvhJ0Eib7/JYrifYV4TlmTTdfZGYvbnKPzsmZf6MTxUtKh9lhkh7PEnl60l6TZcL30b/+D3bbtENp5agdzTd2zud2xbgiHQBjWA8mNZyYGTk11gwR4CMpFQZuhtw+Pl2r5xEmiBJlnkH3jfMu17m2auTZiLISkv9Z/SOaW9WDFxGyv9OfI9IcmFF0qRjIdp3xiJJI4+51L0lOhMnKjrVqhft8+WlhFq7Hp7HBGMcBfObQCefJ12dt0ktibexN7tqLgGaxrGkuzRIUja+McPALzzVH7T4kTo6tFJiRxb5Lao4tSaAfPNQRdFWE+ibqoO+1b5enGtnVny21lJ0vn8aNWH++9IvHqhZCyNrkWBH21SD0aW/ettU1vaZxaOwxKPuBocG9AZJVwbzslEPsz1hTOvLXdmxd2sq6UaG/WeHg5lE37kOctEo+4X8ums/kktjiJhBriOE5yRrKj707Lf5LavUmmApXCJmKj13PTWdtuhYxOk0SIzI+er+1/fefwK2+a13UQEO/vF4KUqzq107az5XmtTWaSda6iiwY7WzXKsNV2oTqKemvoHwomi9XqoYJ+tm4uN41FFuuBzzsqrUiz23tk87Qd6DUDYxJ3RFzyyq3Ayh6SJICBfKTJoMX9ZLkWZEpFcyb3zcGKOLbnWypiHtzeDuZUfIk2Fn43n6Z2bxHZctvasqqVfJBQnJa13itLIPCx6w6uzx2qZDbEaaTqpN82mu7g/XhYusFVzryOTHqWAUP2jhfRefvywCfR6wfxNHhvkrdUBA4qv9i2rYPFadMQBHlIOFdXwgxWx5C+SLRiK9vGyo6qOFNyVU0IGp3b0GTBTluI/+aBjK1vQERSK8CTBLG2FpVbe2M2tb08tadNaxuSJV/5pVFs0GVBt1p8i4bOksQ52gK9E5TCvc1GWjFU6WyuUxKQCNff1tKISi8RI13TGL1r0wUmO3sAVbgmmyDMJtSHJAK1qs+c6+vXF4Hq0rzQt0vmE4jXrsqikiFZHopU9vMkc2xWBHKSL06+V3IbW9MN4kQIwvZwNd+t8gQ+zlUBj+QYLg1rc0ZrMlZFGILZC60UNke/iXMvWU8nG4fmZGnnk1IH48+nvA8JfC1uAt9v8JV9RXHpEzcqVBYhyVTN38tiwbVmdL6xayVdEvk8YZXzhXC+8QlWILiOq3laGqwb2n5PLkqLksSeXWwdNyQdrF47QnZo7YTvqykP+Cp1p3MlSYYHFXG9RxM2PAOQFeGUaG1e40K96247PgKKQhCRg/Mtqqrh/slVmWQuujL5M/8MBl5BOMT3oirfVFbFsW271kq4UCC5nqkJKgOyQKLT8EDUrZA10N+UtskOd4SPP6vMDmgtHaV2uobfAEk4sTzJtDfxSnHB+tYuSsxJ3b2gQDmY5UoMQEcWExewywoUwDlCay9JI1tVg52uKiXUD/YmVqSpHZLYpBRikVBOtUirTu/NOYyvdeudbYeT0qp+sG+mM3tn38k6yJW4qx2awd/Rquw7yxNHXuZZJrHAMTccMv7z151/hKhgF8L6qcz2WT8R7d7UUtZ47ThvvG4/j2zVuWdA+4PneGVZbweTWAXek7PKLqratmWvPYwPpAuu//TFLPf+jAUPwjQFyYy0t+YMZ/SDna8p7tyXX9Wtbcv2UkCSFk5BdUOiVTEO32tv57v84Bntx8bu30WA6zM8vrScESoPgjPBo+qotDzpzTs3ylRq21/2ylmHFMl1Odj9KaRSevy9nVRu/JNNDBKg+otrutKt7aeR2iaqEPicymXGhzP3cLHZEoDIkINFvEigLGSqgzayml4haMhkYm8scpsWtZ2cby1L3MJhMTNhsT2vtaHM0tgqEgAIUHGsRUgwdu9nVkWdquws7i+5Afzd5QZM22dKPz22eR9bMwxqy3BNJJBVxSJTXWyoyrZqG7CwqSg54BCADqntpeDt2fq9C5SyaIcHEKcWxZ2qsKqjZdNq4zlfOWLgWweZRbxZMljWxyJsnpa9PdgrhAgUCXySwUqSw6G31ZKJqE6tiHeOZlZEtGIcGlNlnZ3LzXdjSZLb/Vlm92e5nagJXtvejIqB4NnY6boUEU1qyIHr0b3YoqHPLErHamvNJLOjOLY3ZqmSpapu7fGWSoY7AAI1KGCH1pIcfCs/rdW31iRMG3WXREwqFZx8CbYcgQCrINWZHS8bm1GF5qk13EBz94qN/nhT6/VM5ORxbItJbm8fpeKgnKy22qT5XkomPTGRrynwZ+SppODbQZauLZ/BBYmsXQ+XgVXEafgyPhng52frwY6tdQFAQfmKIEiQzuEP8Yz5XrdQIs/M5L85ryyPrGgGPU+a1PBVJpslyQkVIUkB68R3loTYCBFAL4U240jWfux3E5CHqhls6GohA8UaiJ41QSLlzm1MjA1/G64LYlAggpAVeX7FSxlxljhf8mlNwvmWze5EUThC+2J88BnLG0axdw8hHx7FDOjP+O945nDpHU/ihTYY+xMF1Auk4VHGA1JI8iF+cdle7hPtjoVzNZqmIjFa0srzEyrJENsEVJJipeeeNtbRTqPw6RMl/Eq0OsbomSBxvBvHlcA1N7WMgiQGQRxcAsqztxlsW2+FBIC+PQBBS3PtUbRWaHmIR3cDJ4dna/28smdnle3PU/v2g7muCUhjPLT2bO15Udxb2k4QjkE1r3kvxQOI+f66jNWG2ddpG/HsqXXvCydGxj9GEmDUWg6XdbWhsKy11+oahCTTrzPigCwhIEtvXawgmSfpp/1Tpc6BmFjC2mTaSteAdQBx1csD6Pkhsa86nT8fToOIpA8k5mLbfKUz8roOHo4PTtZ2XjYKbt9/vhIULMKe34UCqSkcY7gVAllR0NIZrPcVjJIViH1h1HLbW0vvuPcVoJcxJxDR1x+PfIpE5d+f/nDQkVhAOKVVRM9k6Ox0WdlpWdpZ1QqehbQ07klrg0uAXXvNi2vzCRtJ6+Fnv2kyZsv51kEvIY+UOLBJq1/edRrrI4DJE4agDHmudIqF/J3GHVVFuOBE0C6KyB4s3Lw6rS7e83xbC8Zss97zUUjPGIsjg4/cGC+/97Aq5829gRTKfYnixJKYDbS109UggtsbexN9xvNNrYcYqJ7PH4yEBH7KoCqZyZT9jGTHj7RVpWVR7BKaPLHji8FWF4j8uO2BREhVN2gBiZYmhNzDr+fW++PoAa86QZlsOD9clZp06fpW5wV8StuE14eJp0ASDuS6c7iPPuyF0WglLL7aDvc2JA2gdSIAW2yburHFpBDfiNYB548ROeOY8RBbH3X6mdPzcC0hxqhBPXj/wClgHfH+JCfjCSXu00npuR07vkqc694ksoMJJEsH++4SJS+nOnzSEKbOOB+hIv51JOIy6gKRHLi3LpEWMuR5FxwkdDxbBHeeqfya5xKS5HUBKFzH8IzynqACxxcrN/adgrx4cqF/4XYU4AMJ0pF7XcYSCpZwqLr2aIrAzgFSr0MArpv8Cvd1/L9fRejtZZYITCKFIBmOwMu5aSR4fDLsWWuV0e45D8lTd40RIAfoGuP74b4vq1Y8H9aeUNft4II8L6Aw0OQL+1Rvz5aNn3iLNd0DYb9mQXh9mM32xQQThGO56m1bV7ZuepdktrTOU7WaWU/so7ddO97j/Bze0lrFKG1K8Z9Gr+Gzr/MkGx/sjezpu/eYtUDXNVzzcO67vl9hvTTe7oFkJQwzhORxfM1pSV8+E5DVvZ6JiL78E4M+/iSaFj4XMERoTCB/+zF1WmMR2Q+Fb5Z9xRl5XQfcC2BaoG4mVDZlrWqHhy6MH962KfA7KjeIgi/AwJ7tzqE2joee46D256umSz+bWz6DIMHx49ONTZPULip6jwRmB//CIL9u/I3nXAuMfzNC63U0QtYugmAIuIHjIQ0Swnhvc2lZOCYXgQ5SIpM6ELCerfx3HH2exopbxxYnmbs3yxwcSY+zjwV/KlHwPcxAyHTkSJjpTJ+8+F1CJcoUCwkNhENaDfy0hIsxtHa6rZXMgHBd3jcv5PXhydZmEwiPg23bWNec71RuBwVkNh1QBOBdCILzSe50LLpaxM0ZFYYmjpzmC7mguh5cS78AQDEkVgdi0220EYu4pnbK4KrJazRixpvcuHKXOJJnIEr3g+rHV/0y4/OtEQWxrrcLZRSRxS1V5qAeP0jfvMh0veFEgJjQTiNZUkDwkzaXiEU4l52FGDZkfa7foEMFrDYeRFDGn1MQKpJTh+xcd4QKMIwcCnofbcx8MdqEEobiGUnRUXGqsGPhKm3urFN/DbdB5XL03rc9T+E7hedgjFiwZkJywLMVtC7G01rh3mnCBpKhNxcM97ffDXa0LTc/SSIdX5fx8VkbPxIkHR/txc+6i3giS+tke4XK3ZS7jK/NrlEgLYKy2irJ4FmgMFDA9ighz9L49UK9yl7E8yegPX7hsJdtblKKFvrWXCIGJIrsf+y9t533+Hh0QaP5J6/LXQXcAi9r9/PCM/YyLaTd3w8v+ezx67UX86x3rtjdm8Ti/fS3GeI1LybYFEYQ9JkmBFdhwuyb96dfJSOv86CnBov649OtlZ3jQbCQwwa4Oy4ajjDXrVn3W95fGS2ZriDqq4V6HTx77d+z+UrbYrBp0qgSCy0DMaRv2HkDGkKFp4chaE6MsuywiMdBJ/AQ6KkT+NVeQOdhnlg8IIgEifD6z1Pl7McWGcUE6VGQ63sF1FBZi2PgSYtd37jq00vk21gQDM6Mf1pm9PIJTK0b4wv3iESmiAc79+2AQNiT/TuVSsdINkgAxEOfEHqUigPC2iRhmoCqrlFiAmJFAiPpec97IeEE+r+Eo8PYadAQgfA8Ek5i8ySA3xZcdhMU/k7KtGFEcXSvgrkiwaUM46o+mnfbxooUQi5VuNP34PxV5fWRwRBpyt6WkPFI2DyHQaJP4Xtcow1xWd3vBGILSB4j4VVvZ5tSaM1N8tThbwKiFPQydq9L+ByqO/rtYwG23Q0+CFg1O6rFtx1homI8YXJd4Njd7G96X74PyRPtyZvaMOF1dzny0br6LI6wx4Tpm7uKBIZjXBjcFtBv+n4BNaXIuO7Yva5K8rxA3RgJIDFU4n+D+aCmpeC3ZOh5REJNSXpehXvwqqqxu8dYEfqLOjq/79DmAqW8671VEu+rOEARxvMRe4RvBlfsdR9fSs4IvUUg+l/76Mx+dLzUyFTQZhhX5iHIjReboMZXvHDhfQOh7i5ZO0So8DcETh0+sVjf8nfahEhkgGmbFxfgLqEvbAr8TPLXXrdkVvQS+QIgwQSMn8GjuGnj1/t6JcHg1ULwDLD+5QYz7jePVA93l73m4FFrnSba8J9sXcAfa4twblBKyOwJqOPvpYTLC0+pagkIkT+FoMzIxlVuOf9B6AsPpGShPbFz91oNo2pImgZeqC7oB+jc/Ys+SWAJirwhGbm8Nv49lWhx/gGaJenzCRZck76mNeMSL4ls+evMtQjXOIxEg7x5tPwSVRruEGgCzC9ZG99au4t49E2v0WxKQJycBtqtycUubH2Xtsa4eh9f209zoNwbEKNP6+vD+WlamJboZ3Bu4+f6kx53RRY+q2P3GgYUTgayflR1TCAd75MJAwZM+/kk9rNEmF52fNGJCEfQb+JZv4uzd1BlFUHeI9v7htBfZntTdFUoanrLX7N13ZcyGbHQx17Xtt66nvdYojlAvlIYZOxr5wb3o4rmVTPrT7vZvOzvg5GSAjZz6B5FGSvCXvew8lBPvbjRCbP0/ufR5iqhuFFyOPTyaU29xDMhVLXDLQ+0CJIqozs7W109YONAQgLClFPYfHbh8CA8xblp3M4HX95q/MAGiBYEiWulROYatKAbnf+DPYTROrUSFJBv+K6vIrkfzAAjkA9NbFxtFmMJdA4QKrXj+C6+xcDrIR3WtePvTNEi6Abp0gDjgqiI2+PvV0AortOjuMsxHlWN7/hdbwrczSfgTHzRgSOoXYbv/WnOW2vuczIr/FkNsoFIzYlQPMQvuX5nL7l4n8T+4mflGLhW+CPtjN/f9vrQAQik+uP1YHvTrb1zVNjJplbL93UfX1rOyPm6kqIqJa4T8faGZKhSetXUEJjGh1RWrzGOu8vRveJD8UmqOPgdSDPTN4V8CYnuDIb4CCa/8fy8UuX4M8M00W0HwTFIhd/2+uBoeltCRfI380qv6Gxoci2c3+h1Y/LXdZoKQZESsTYhDqM/vlH90qMv1x2BjMnfPT934kOhbXDTYxtaYy87JHTkfZCkY+KTpvFx7fmOfgcahm6H0BMSmmiwRcGoXyok52TTKNGRlDTIT9CJuEWa/C5HUPB92bre3SR3X/9ZcybGx1go7LM6WOvVZ3TOd+EW/LQjG5/HEfgTarN+yvd63YlIQM04XoftXOX5S8MrXNdAlA1tetgmz9e1JAMY8njdx5cyGeFgumDVRtLBYFKD1Sq7ZngZfrLhuvsRNo3eKx2GgLProjpcs+m+anLxSZYDxLlLY6TO7GR91a9/WX/9rnyWmyrel5EI7SXvr/aX1wuBkCnBqxs+L/hv8IIwgTM+gs25UCK0LiaRpc0gfkXgaOweQcL6uuvEzzUdwTTU6Dxu+y53vX8kuJKuvsaj5br3DWiGJnCYXPC9djbtS/SEXnqMSiO6Dkjdp1YnrXXbq+QxrN1PE7SCkdjYTuCm18kh2N+v7jUFi9t8YD7NEd4zcFE+r+B/F07MTWvEfgskJDbi8P0sHZfIzs4R7stnvR63r/j68MxetvD92DFaRChiv/5U5EvMGTlcFLaFK2J41Lie5OCREcy20sS5WI4r6t0j+HfIP4RAggaCH6mjyg3BOVzkzwKG3fVksVtg72AGZaPX37S5ZZ+iOruuVbVLOuNz5VHirwMtjusCEq2VwxmiS27u/2xnbFTvk18pWfJlyOp3D6kUSp45shhbeETkPK4uqeobYPHd6xPaSk4T4eoaBpTp2rbViHc0/t83jXhyXoHT8rLg0/kkC+ItEy2autmgavPi54VqB1E25PHzpLePL5CMZ2Tb/b66odX4KoE1vO4ulauk0tGh8Q6+4Xw/z/bEZ1WVhtbn+Jw1Gu0TaC5EaPUGxG73syleOCh0QCrvcm6fJCh0PyWoySdJpG7bzz7PIx3tWZ+W1HrbMZb0/zw/51Xvv8ahq9qmKbovcPWC1d7rO76UyQhqkV87nDt5byUhkSV4qcg/IXUPEDr+WW8nCJhdE7guEwKqUm/XrlaP9yaAJEivPiQkYYKh+pQPKzcMjw1UAi/6l1RHXkKcoCRipVc0JEkZawYEW3F6joFH8Gn74AEtCcI+nIfMbWG+56mdrVq7uEafAu4K1txp4bLzMZlYyJWfZJILML1klEw9v2L8WnmWMDJMK46f+RHDkECETWF3QwjCQCK+opZIIhM7t2R4JdUN1yffmYBh1A60Q5L6Xon1pvs0dmdlrDe4kd50exk1nk9QuGT0OrI8QqzpSsQqoB745CyKTLosx5tWBl/yEtlBs3aTq9uS1t1zD+d5GxJE6429Dddbl7RfVV4afd/ROPlpORY+aQgEU65d0OgInDLzBQzS46FQgHQNKTC85hIl9dYAusZ3zMB2kdVxkv9Jn8+QRGk83T87nzUyJb6dX8vjtfZJj9u+6/QTIAO3IV2fZSK1e4Rn8zZe3ed9XLevhIkm9Je+fjTTHvi6jy9lMsKRkwFmqTb1usW/pFHFPJsWlgydEBE0LfZnsbxGEMnZFSmSvLLfSAnyBCCJnnnCZO83Wv6QzVhS84Gc6Rn5/3/2/iTWsixLy0XHKvdauzy11V6HR5GRGZCZwL1Xjyc9CT1aCHoIIUAI0aOFaICEkKBDAwmBEBISAtGEHh10ka7QQ4L7eBSZJGRkVB5emVt16nN2veqn759zmR23MPeISDI9Ejx2ytM9zM7Ze+215pxjjH/84//tp3gFN679/iyzJ9cbO/uMVd3Dx5AiNWbrTwIUYDUu53Uw+umNm62c/tDkel9uvdzcpHyX8hWLu8+pe4Gv2CchHExJGNtOnlkWVVacFSKTvrzpEa9KUMf1B7tGe/3nQshEHCnaOq+GmwhHc+O6In9AyVLc/7nGZPvExAu5IeHcT0j1XxA5dalb8v7S/QgtGDg/kpcrp/476mD3H0TygfgS3hH4VnCdoGw37dT75ApX0+dS/N4C/bNQL7U6ArPDSWKjZGBJEkidkjs1GNR2uiifc52kqosCb4VviDMtzOLAViBEPjlKXkqsetv6m1Mi1SsOfkaLSS4hEPeJiH3GGuEzuJ+jNLZlVT9XUOXe91NJHII/rsXXc3b6Z91/bg83/05UiDe9bEguKSr4N+sXnZn5xv3v5wJqfSVdOHM41DA3kL+9vtDIa9r0Mt7S9uFZ/4REw5s8M+0F7+gtQ060WG4Q019+fVYw7VtKGkH314W7tGwTXlEc/HZffPY4C+T2vUVtuv4ff0Yv/zdJrs4zr9PDOvpJpkle9Rk9Sd98okZRcNX8ZC3KvgDpz6jPuoQ+4e/bwV9U6yn5CfZIr7Fzeye3QYIe6+82FvWjry9tMsKCwYETI7uyKp732yucXdPI8MlFDGwnx38ktGBeepGdF8GCQ7Vv4BOMkChOwkBOwPkgtqhDutiZeuEDMNL7N06VFaGal/p2P+4V9QcSjovW2NEYj4ZKmiCn8xeVcU/EpYXE95LjqHe0pDJlcUY4giImRvDqVVaZ5vBogw4tHxw5jAmmjNtyKHNfIh9kmOboD7Weu0GgoZLke7LAW+++yoVN89ju76ItWznl0PWLaZ8+CGBmJnTAJ0wD/3cgAnjZOMO1TuqrfDbgR1+Fik8iX5wXgeVmWwtIHd+eqsJk0Elmy3mVZMwnD0oq/Cmj9l2IcZ93XJVUv3tvrms85L6EUpLEFjxNYmewJbdfJ7iWWWejlCTACco1vQ8R8uVMMEUvKuY+GZDzqk8O+nOc58ioNQkHWe5uEtmbh0M5e+Zpam2N0BzKt/jmuBZO3TQ2zXKbYqijBKWyLRLfTFqlXpDKJ9ogQRzCuqYb19LfQ54NfkfTLLV1VUu5EvRPiZX/vb6gej6a7BWJh3kib6V1WdtqW9nuBGfYxvI4tGXUWr39fHSkX9NCUTxplvUNj+dy9QKFe1l86+a13HwFN74TKKa0GkiQcNH2CaVEwxqzW+NUBUZZ4+vk1qZ3f38eVJS4e+0R7j/7W0mHR6LKPpnEtMwrFpPEFD9m/99s8bKXWGOsL4jDGcnxDUXOm6/uM9CQ3i9JysB9suTfpx953/4UgUzJ+I0EPbjJoeNcDALbYGlhn//qZdF7hKLfX+jYsK6wvJc5nR8n54zBBVpmcEKiA2dEh2rwZ3xYX2y9nBf1E2Z8cN2v2c+4zr4IDfr14hGFHk3tE5P+vjUvacl83pq0z0ke7af4vf7zn7cS/b7pv9+rUDX9Dj5bMTERsYOfE1i/sNcwjW2aJ86dExFxvxhR/SSBIBDgqDobxrbc4ClTqtJhE8iGHZ8P+vZRIPM7Mv+U0zvhsE4UHPBbQXCKFUgQZ34bca0Ee/Ahlu4oijrpaw45NlG/aF8+AHSQ+Q1OEDhftjYcJLY7TG1d15bG7n0Sr5BJwMPaey+KbTjEMpyEgPkv2k9Oupn/DTKEZPOmwGE4tPEwlr09Bx6y4juj2CZpYufryq42hTwt2s65RN4aZzIIxEiKQ6zxp+LuOFTfcYHBVOE2LS0a7h2GZyeLtRRCd0a5teHGFiufuFClDZ2EfBg0VvpAhkQ4lu+Y6yFOPolDm2axxOrokakNou/rngvVp1Q9ix/lYYh4jEOlkLFQRl2PLzce5eJAc3bpWRIqYRuneLtUWiMJTsgEmtJ9F6ZVMMWDBM06uDUbKOHYVE4SHjMv5PW5gtAYnUvtZLm1ouT9Qhl24Vp8NB7Y+apQoE5BhPzBBgK23qIi61sF8q1yPioxYm6tM5+jtXixLCWlvS/DutZ5L1lrO8NYrRpaNHxWnoYWhpENMSMkMU07CwpMAb1AHnLQA0dmU4LmuT5UoATD2XBg93aHdjLf2LrcSvIefhTVP6PRk5EThOuTEAnYSbiqs+kkx6LU6q7Vmpp3uFQj6+32B4nNy3B733pT8kDCT5sPsbHSJSO8QN24btqMTF/1AQGbA36RIqIPQD069bx375PvPtHG5VnoJtozgXu2k5xxx62eR1VhA/Hp9cRLbUKPgrL/2Ijt9sW0Qu/jA0LJhFc+CPWZedtyS7TfXw6SfRL+XCNGQobsj8DK0Nnb907gN+9X/dJ79ChSn3wiwY8PEI7FvRBer8zMPYWTpOmMG0Tn/gzq762QN9rA/uJYG5ylnGM8A4ozxBObGifgV0/y8b5ykPZJWhLjEuzOjTXqtRpRdw9pkMZWy1mu033V/dp61FV7txPxHbM5dEdeDtr9d+gTpf773CQh8/9IyNzZb5b5tXTzLP6UkJwv4JR4eBmByp89utcks/LqwhG6UTuffdI/H5bJy5YCbX9/b7T8WNd8z8KjYT8uTVBB5iUN5L7u162KRu970z/b5+sExHWcyGhvVdY/R0a+yBemQLdnA/vhKWqjkWWxN1jCbwZZ7TyRo+9mWykI9rwQKpJxFsqKGhMp5HcJhqwQVEo5KB/sjWW9/fRyY3layWBrucUSO7L9aeYFu1CALWzVOhlx2UP7Da0q2e+mm0TITgmN/sviKJL7aJYkXkHUrWIqCRIjbLZvzzKb5Ylz0Uwju0pji/Bv6Fo77nCJbe0wT23bdpJAR4EPR5uiboUITUepvbGX29m8sHXTWhQMbNM0arFMsszSQWh7FklKHtlx7gO3YpSmqsjZhATp3RES8RzvgcWd07/oos5mWWoH09QWy8JO1zjVNvL7oWKGnJni76KqI7IuwLOilhU3Vb4bXU1tNMDbprMA0wa4P4NGhno6EHrDOb/xhJTIsTKwKCRhDO32NJNaKc7GOLGStuHYiZMvhoEH48yWhet1bapGMvSYenEI9WqnSRLbu0dj++UH+/LF+fhyJZfO02UpFIB2H5+/n0T29bsze3KxsmXV2CyMhFyx5kZZogQLJ1NIpx9fbnQY7Y25dmfmiPkff58ngZxm0Tr55GJr37o/s91hZA/POptIyrtQ0OEgi4JEyRY+OhjC7Q4zS5NAzqjz7dYuV5XWH0iWnE59K0HBxp9WrM1hFNrtSWb3Dsf6IdCRzQiL99qKFa44TlbaBQ7+v8cecD+1wI43lXcZLeSAymIBmUzDRlM/JG0ctpjkuXd5sfY1oq0x9VgGkdwvPJhI2GS85iEwDAQD70A8G0a2O8qsrhp7PN8qCSCZ8dtHAYeioheHY884t1rcS10SShtswGh0hOlgovV2vti4AuIVZ4qKdJ/58lxp26iSLr1pmUd04KK0XSD/IPYIoovoRNyceBMBvW8FeJ0NtfFABQahrTvvx/SKa+ClJNJXNiSESgwluNPZ7nhgW4QE41p8OJAh10L1yQYI3NC79PpEWAiSv9ciPpMosA7NT6j5LEXy5P6zsXzgHpx3pWw3eguKTyG9Mfo4gc6bPAU5wy2XBNpldhLiyigIGpt3rQW4bXNe+uRO52XkPKUwLsVji7FUvGmaVySgfVLE/dwZOeFAkEHxBUGGlWQFQlqS2CXKtBZvEvH5OdY657V4Fhj9ScLaJdSNT8qSlHUTqVA6GIfiStU4PoMG+zH+nkeY3kDr5IdFYqRBCpLfQMKMFF/w4z5rSmfkOU7ED57PLI9sxvku5Br35UTJ4cli+yNIJN8JZ29O6Yl4kz9HRr6wF9K5TNKM48g2HHJJaBUqlkEg59sxmyMJbV7TwmlsOIptlCYKumzq2ztDu9zUtlhv7WpbSdGSw+q1/dzygbO15qDcGQ4sCitVpqANvOdglMjuOktL6zC744AhA/Z9/IqFyKKiWvOtFg6KLohsnODka7Y3HdjhOJNdNAv1cBrYtm7UGkJH5WCa6SCl+se1F4RmZ+gSE2D+nXFqw0FkO1ms69yWVP2hvsf5srT9ycC+fmemxCAMSy1O18IJbTrM3KhoUWnD741yq9AybwPbdq3ccisSiii02Xgg75RBHmlTQabkd+V8Wja2m2bW5mz2UAkL5lnXmOwp6MbWMA2jYMWIamoPDkZy62xatGIqWxaRLbc40raCF5sgUitnlMaWZ5VdLL3RG4gUp27HKLc7RMkuF5tGKBnTNlVcWl25QBQEsWVx7ITx6toGUeIckWnDDEoLohC/XHnZ7OSpXHIPxqndmk7tzYOJ/eaTS3t0ubFVWanSiAIOo1bJAs8Ad2EOGpKri1VhAUG2IbmM7LJqbD9LbNu0kmamEsYRmM9k3YjPhCW4TsLGjhelEmSQsqqotJ6wuYdLMsxdcp2mkT3YzRVp5ptCh+V+PLDrdSUysFAG+uQr5wLKgZb3kL6zKrI7uyMbCEYIbD92z4t2F+Z8fDfaQhy48jcqnQz/zjixWRLZ2WJrZ/LTwT8nlDkijsD3d0b20dVKLtB92+SmUqoMAge0S/Eyct+fJDCOndsxFu9cI2uYZAbkam+cioRHcne6Ku1uFGm9rMpSlva00ljXBBCQtOfKy8DumiYAmXN8nEke2u44sWkbW4mrbEOLq7Ro271QRr5BLpVcvgMgbScNrQncNX9qsioMbYgvUuySpUGKvbyH5L2/Uc8idkiem9jrk6+uC2yc4XpNy+vVwYlnR0Iugj6PLKLFQ+VLgErsoisthROXxwreFA8899qfNewJUKhPrlwiLSSCBCs020dcDxQLF3Kvz6OWlm/pwidK2X+DSNX5OE80qXGT82M+uVE7tuxsdxTa0Syz46u1DCBJ5kFRScA4t0Aysyy3i3lpC7yAcb4luUGJWE7Mfqou6JSM7mWuNdwjDyIXe0I618r9pvW8k4V2lHCe1BYlidC06ZB9UWu9bOvqeduD+8nnUcTEaWQdiXjV2brFi+tFNqF15OGXzdYZqg7AQoPQZllmdbeVpULkFziI4jDBJDCyxaoSakUinQahLcrKlptSyKUE4Ggz4w7t11gO2uYXIGuD+EDbOo1j67gX5oqXsgYNjnTdZVFbErpzhGfOW5OQDTjPu0777Ody8F/Qi80HLM6BEyU8LhZmbSOq8STW4h8PBnKJxZm06iD/OQjxYslDp32RKNBDXNMjDzrbGw1sNx/YOI9sbzyw48VWVdR+ntpFUBpWRJAMWT4gFZRqI6qL2PU7RwmwfSi4lCwV9IYqcDhwAY+KZrWpXeYehRq/esMHZ8nZN7U8Q1iNJCKjLLbLdaVqY2+U2Du3Z/b0emNJUStwsuEJZCdXhaDzcZpYmsUKfBzITYcWSylkaH9IfRvYd58sLEwd+fYCzkcX2FuHI5sNEwW4khZChHNvapuytVEa2qZ2iQyH0f54YBXTFEFt27q2T67WtgufIE9tMqQSiiW6c80usdBe38tFel0XhXrbIw7JjI2V2oBELAzsalPJZp7Kl0Npb5haGidWlIEFQwfx3gEB6cxOV4Xssgk63EP58AAt1zjwOpsAplS4NyRVfDYHP+gE1fsQd+cwtYt1o7VDgkLQOl8U9v3jpZ4Nz5bDbLGtlEjMUqzkaOfVdgIsr/cOhUhdr0FAOueZ07ZKmCbZwO7t5VaUrV1vHAek7kIbJxBXY61d0JwoiEiH7P2TK0dKjiJxOcRnEF+ptmVkdmua6f6WdSPEDo4JCA5rHkSAgAW0ruq7l9cnzwGNSFz7i9YWAYq1yMWuKgLIQAaObQVaBkQeOQfUthO6w/vwe6AKuhYOwTjWvY/K1s6XIItLIU09wVFcLp6j102RMi2QfxwpESZA8Byn7JsutCVPhpFhl2c65COEXNvY+brQc9vJWM+JHc+Bpyv5b6CnAL+GClqS9J5gmhM4kkhJIc7R7Dcb0xYM7f35SgGXtRUF5XOeg/WtkBBycajzBSQgjCKr5H7op1eU7PAsW3kehWWl7ymOjvdBAkaXY/eQdg8JcCzkE7NDKnH2Jeu/5xy1bS3n8JtVbt8ScoaJBLrEdvLQujCSYzVXfW9nKGSXe8//EZwpfCgWSKxBXdfb2ib0Emgh08bzX5REipYlFX4/ak8bj8SOxAkkg+cFApbntAQj7U3ONbVLPKmc707LmP9eFYW996SxZVXaeF3ZKE+1nmaD0E4WoJaVvos4V97tUaii59/wT5/ECYFpPk3+5bsJHZExnCtGQIz2J5kS6dWmta4qbRV2SjCSyCsY++SK+0nSzrFNwURSK58oyNigpB6l4md4GLRTwri1PLrh3k17DeNOkI7YtXxFlPdcujSKLRk5WYNhTKwpbeHfWM+7J1OHgQoZhhM4L9kXPLMFvSJx9mjFhxI65Jc4wzaoWa8rFQ5ZllpbkMw1SnIh/7Is2E9u2u1no1X7pSSworu/2jaqWIBLCfpUyWxWyJUgDRV97UFi8TCxdbu1bVHbME1sNEiVmMAvuLMztPWQNsfKVhVJApbrld3bze3eNLcPh0ubE1gLIPbISrAYphsGHFQEzdi2daJKLw8hHLrDGq4BGijqNzegHLnNmEDRietGkw/y2KbD1K42pTLgTy424n5QgdNOaJrCJqPEpklsR5QDGO4lkYLys+utrYpGGfflulQFg6nV8XJrj687G6ZUuo0CN5AdgZWADJTHiTgXpFwJiYH7QFCbZLmdzAtt3ukos8UaN034Dp0dTFIbx6Fdl509ulgLhUgGsY2TyDZNZ3XVWp6FdrnqbF6UqqbYuKoMOdBG7KnEhjmb0Gy+Ku1Cfjm1AvCD/ZFVZWufXK7UZuKwGub0/hO1gXARpnojAaBNQRJEIgcPYLUtrcRh2B+kdR0okHHokOTxHG5PBrbg8Gm4r87JN4qh4Daea1HY3RQkqrMPThZqXTxBx57vT9XE2uoIKIGqNaow1k8UUVlSlUKQddMuVC8P9ocWdYG9eW9sv/7RpWvjpAjBuQOIpHROslNUch9el5WCGXTZwSBWUo172FxJD0lFZE8vt/LfWZeJSNpFU9u6cn/fy/lTMULrYGy81wGhWoOXRHtvTEDrAjtd1Y7Ey3pTC4DriqyoayXfwzSymVokuAV3Mk8M48DCKrS6rq0MYyVyrNdtjbvrC8E7qfj6KZ1e2I2gulgXQsoIDCKQNo0VVOagdSCJXnsG3gw/x+fAzSGTAgVdtqCDTvFuSzIMqdJD3j0Ez78vUf0tSkHlJPPwykgQQYFQbN4dZ9attmoBEnj6MVuRjrnWqlMbrGkDcalEyqbL53sDcnL2mgC4YkdRZEkM4RlKunsP1rgzmiQBcGxTVcK9PYBaurSTIstTl0zQnhLvw99HggxrejLmPIm0l7V+okhnR1Gnald2YaB21cDv24NRbGvQo6izxcbtG1pI/Yul1fMPOI6k2NwTdZU0hla2jbVNoO+Sp5kKCIogXkJ26hctMq290uzpBgS2EfpzHZWWrko3kg4aWFGkBFYHFGfelZYg6wnnQ5497cGu096kHXhTd4frFNLmLSQikg0QhmwgXt+z61LJ8CDpxFWhlbg3DGxZsDd9zPAj0JieUu+BbPB+EKi5z+QB/VRY//w2G7Mi6iTFgAdWEHc2TpnUDPwQAQk2zuUk5qDPpYrhg4wWbGWn61ItnuSGuCMqyit8ZGgV+eSHM5dv66bhQrs/y1UwBwGFlSfIk1y1biJQcSIMJYiolqUEHQN7bX9kD/aG4rdw/lN8fJGvL2UyQo17td1aEIS2P0rtYlUK9SDZoPdOFn+6gJhJJRmpct+GOLyG4lDsTgd2flXo9+5Oc6v2WzufFzbNB9ocRUsvvbHDCcTE0qm5crM7Wg6gIWSgrVUBCrCBTWMHY25xWi1qLfz7u5nFcWyr0rU79sckBY1aK3Ho4DbaGcCaeAlcbR30zgJMAshtgT27Xtl0NFD2z0n1+HJtt2aZ7eSJEAlV6JHZ/b2h3udsWSjpAu5mkS8314JOCaZlXdsC+FqOurREAlVc9ETp5dMygfRJe+rh8cKuSFDSSId5XXX2cLlVlQk3A6Ql2QQ2ywZK4DYcJRAZIXl1bhNwmHAt23pljxZUSJHtjDKRi5lWAtac5IlaEIw5tiIOExAdQvTJ6dqisLFBmaqi3MJ1UbXG/QWdqBVYSSxph1ArrUpIhaQH8CtSa7rahlFsc99ie3a1tWvd50CbnIqqiWk9paq2T5eFtbWbUiJRKyomp1oXWJrGlsFWz5/PpCcNUuD8JEL3PUhagtAeX2xtOoysPXPHKYkgyAbJ19mysj0IyXFgy3mlwKAJCJ8c7IaN7Y9yT1DgeUS6fpKuLout2cLHIRFwXJ+qgx/jD7QO5Ir7FWgtgNKNslTB73DIGm2VwFBRx/B5ILumkVAkAn1dtM6rJsB0yyVL600jrtPt6cAmM5c8LzaVDbNYBHDdQw55JiJil4j0/X2R9qgcMQSkjRko7Kqq3W5JrkmeUodqSMAwUOCjL75paiWlCOfB3WEPgSO1kJAhZ4eRnok7D14QGfUnapEGgqtJbIqiUQLH/55valXpjPD2vkb9hMS85h+XYIKYovpLtta1jZIJtEiejySDOimRg1jsSK8kFBAfafd2AWhFZ+WycNW2iOGJ1g6J5ChyrcqUMUx9TCvuxnAQ2P44ESdojchN29piU4gI7aY+aG011gWFIP+jMck6LREXpEiAOK9O545DJS7NDSIrySfng3gkXvREvkeyNHD7AkI/ieAwydSOJPnfYQLLW0cvxB9zqIJ0Tjw6RUIjcUA/MQOSN2YsXUkLu4SCrRNyuTuL9SxIpoKK9cdzdYTXcvuCNNyPMYvoDS/KT79wrxZhafM1CbqfBvTfw3GbKGpeTCoR6CFJy1G6J7lCmPYTUT0CI94PCBZDApBaaXHye6B2PpFZ4A4utKyxce5F8xqPbnWtkmR5w7h5COfS7a+t99eicGo7RzYFxSFugaK0dW3nG84YCufE5puNFVUlrsreONfnIlVQ163TxPI8IZJi4tXdnVzv97N4fSmTEQ6zveHAdsexHS/Nbk0GdhoATSKfXglWpiI/WxdWX3ciw7Hw2DlApwfD1E6vacHU9mS+sQvaMTUVUW17WWIPz1eqRO/vZeIvEDipmNwmaNS+2FSVkgog+d0stA8gGIYO3m7pM5eNPRgO1N8tqtpOr9GQgJjoDsmyjOxyXdh1UYlsyQHLiGNkrsfb/wM/AIj3YJKJH3A4HmhjcsiCxjyZV/bxGdMtEAhfdHRZpFwvGXoSJRaqUnbBhoN9pblF2kq0JEoRaml7gArAoaEi3hKYi1qcCFoZHC6lr0iLkuaWO3hpbQApUoFy3+ebUtB0T7xdd40tNiSIha6LSaU7s4GqvPm6tKeLQtdOokLFDCyqwwvkoWiFLnF9cU514MiDfD6cIRezHXkyihodGNy3cdDpoBkPqJZqHUCbgs+BPAx5kDZWJ0IdlSeslveOl0oC97LUkiCylRKSVrAqqr7cA1p1VRvogEnCSM+cnjfwP78LP+m67myah/bkaq12CEkGrSeSTwLHMB0aFLOq7GyBbod/1hwqS4iJORNGJNqJTfNMrQ2SQu5tmpMEMdtDguX0dEgscT2FcJeEzL3QgumbEO4+kUBeny+VyPA6X1ZKZklyOEyD1gmsTYdusufR1fa5AzLl4llQ2ldvD5WECzFQW8lVvRzW+lmPxhAk+Q9aRz2PxBkxMkHmp7IIMPAiYiaKGiX/JE8EfhLN642bSiJ6UL1DUKfqhMQLn6YnCpIgfIrHwEGfEZhpQ5R2HIe2N07ELdqWlV3yvX2fvU9gXp6C4TkQiJhSikN4aJ8WseN34G1VPiCMGcP29wCUIA7YC7H2JD9QhLRwCcbeV2tdW5mBUNRO/E9jrhQ5ra2ZVpuXag9yj69AXHwQFNLk4wzJEYF1kdJOdM7gNWcM+10FB62DxIq6kqVEP0XTO1pL94QkKnHPhvjF/QR9pFXLl6RI4npJ+mlbB1vaDjCMvShg7/B94770dJmeozJgGicMbMVzrGudSYhRnly5dh0JWgiSAOIGuofImuc6CTHzYnV8+ekoURK62BZ2teqsIOG4McXC3u8RFbXRbkjR814kAJqkYj35UfbeO6tHpfp2X6/r1KtK8/kcr9v1i5bamn82zgst1QSOK0qO52vnCs5t1Lnjrgt8ezQ08aRUdNHe5BrYnwUEVW90utwyq6eLpt3DmclZ9uyaTyRhhDcX2ngQ2iBJ9MzhQtF2ByUGCf2fRoH1H/7Df2h/5+/8HXv27Jl961vfsn/wD/6B/cE/+Ad/7O/983/+z+1P/ak/ZX/8j/9x+5f/8l/az+rFhmFzvH0wtg9PVrZoYYRX1raRbctCx++z+dauNlRXtT05b3WgwCU5WdV2d5qJ1MiGh4AG/HkJDFo19oRJCkS7qPpKoHBHuNunv76pBI1B3kziyPZGqd3dGdjxvDQAXVjZ4wE9zEZJUdttVHkyFRMGjNaaXW9KN0/PAlPQd/wASde/4rty9oA4VBmIR2XfezZX9X9/N7dPrjZqUUkrpKI14USxOC96X5jrVWOzIZl37Ii0JC3eiI1e5aYuxTYHJieQEpxobSQ+yPKdgYDdiKUjl+m+AdXSDompsmMdkhufiADb87WYlFE4BMrXqGGrw2uc1UYdDGeC+7DZglg4PRd+USx1WOiSRG0s8BsSbgl8GL5YmUUKBlTbOnZg6neBJnoI5Iyc7o9AhODNNCKFEZBJinivLOF33Vg4z0S94wikK1IScbHZ6v29/qveO4fUx7hvyPuUQkQIlOx7UDDqpcgiR5wGKi1q8R7mG0e4hLBKIvjx+VK8EWku3CB8Ss+icUkbkCuJBUgQvXsphNKSoSrtHEO/VxCmAocDBVqRxWp2O7J1FNgxXhU6GbcKLlSZ+WBgy81Wz1c8YCpA6LI5+WmsNqG8cXyPHgQFyPtksZJx391Zbvd2xvaDk2sFX6kY39CYGHEI++Ap3QePnHT+QEeIjr8nCD6pts/bJMDQTK6xnvv3ej5625hNg9qNV/btDh9E+cp9QqFYTRLutWfW1daeXYKiup/t3XV/nGCVqAMkUCRdtHwGtAe8Sq//vvAKlIgtmaZywZwqXYVNWKn9oPPKqw6DyJA4SCU5gBTt2zmsebX6XEvFIUtu5FqaNDcTJz/ai74O+/n4+sVkEN8Ja4EVgReEAR0ZMH7NWPjxZZ+I8L+5z702C89oXZGcOw0bJU7bVmrKtBQgUHNWgmhpHdKeoaXyivv2qaSOFl7kCaqeZMwe7Ntr28tKySkfqAmVG2hGcqPFpP2/ZhqvUqtUra6XvJX6BLP/7Jt6HL0oWD9tBkLx8rXfHEvvJ53cuvSJyGesFRKfGi5SSrvOjfI7orN7Rs9tRfw0FWsG64GbzA6SNC4ILSuKHi6SmLUOGssyJkY77UHObZJFJZyt2TSEg+MKI5J90GiSlZ/F66dORv7Fv/gX9pf/8l+2f/SP/pH9oT/0h+zv/b2/Z3/0j/5R+/73v29HR0ef+XsfffSR/ZW/8lfsD//hP2w/6xecC5KD9yEXDl3LgsBIX38CLF25ShCRI7JQHjw3asrY6HprZVXa7dnIjhcb9e45Kfh59CV40AQMAsWTBkgxUl+calB9YZ9IQGI6X231v7uWQAhxqrEn5VKLAj4IkxQEOrJl3huNCkfecqOZfAab+vNUB9nckM+eLQot3nGa2uFsYO+frIQ+hF1rbxwOVeXET83eP9s812pQMsJs+zXjaEvbn+FxQusItVp4LiALoYVocrDwEbQq6Uf6KQVfIal/zSHhiXZZ5MhjfC/JgonUCecmtBFZXEv/1FHTGZ2W2JyfJOinizbb2s7WGwX/bJDadUE10DnyJocwE0qeHJcyLsyBUDZ20XE4xtqwkAyBJBkhjuHEDJjCSe10sVbQvbc3saIq7eJpoUSmF1LTexVm+5Bj41AIFZDo/Z2h2htP5xuhGbSvSFR5rjwHQfEB/BR61pFFwKwkC43jo4i61FbW0gMvSaYa9ZObsLJVTHMxtGVd2NU6sKuVO/R7KeznWgme+Ck9hcTs5LpwaFHnLQ+iUFWUSwpjG6Yc0IHz7aF1GEbiTBDYCaYX61qH8CpixN2tt6LeKAEpeq0dzzlZbUkQaR29sBXQd/KEWILs3R2I2JkdTBM7W67UK6eK9HmNXiJyvuSM3RMEefWJCy9gcHtpZPOmmmb/qjwfpA8+N5Vn+2vtA+6FjzLqQkg47sXP/jRCoqVvDSiI9CRBr2r8XAnVX9vcJxn6Tr4S15pBcNECjbZyv/vARJDurx1uBiPPDfYHnnh8dWN086aRnxSP2U9eX6QX8dJ9dQNxzsywNMkOVDdaNP3374XiCOhKiAmkPmFSG+OGiKFGs0lgON+8npO0mnpC7I3v/KoETz/jb4yEvDwf5Obfi7N/Izj7HO5T1g9qBxPo/Xjxy5/3KpPHm8cqn8EvEMQ5VziTPk8Yrddk6Xz77vNe/Yjzduu4OP1LheaN0WRxUsofdVa/+ZKJZ/3i90iA0IbqSbCsDRI7EkF+7JopItSCB3CLIF9zbjOGzTke/d5ORv7u3/279hf/4l+0P//n/7z+N0nJv/pX/8r+6T/9p/ZX/+pffeXvcKj+6T/9p+1v/s2/af/u3/07u7q6sp/1y6mMBjYZIqbjGNbWQAgL7WxNJcQkCEhJo4UuMinjmQVjum5hU926yQVXNdFO4OBhdBFewXxbqBWzMxqoj03fDngQ5nmW0vJoVW0yC06dSvsGSWYqjbdGqQinl8vGTtcuWdE8R9NaU3c6BLRRf4JxcFURZNhVYxfVVm0jRpiv1kCdHHLwYSJDLWKYOjG2vloaeOVPJNqbeSE1StbodgtvxI1o6n4OExFTqdAUDElCQC1qV8n0mhW9IE/OaKI5/oKg6NqRb6UCmEAupSXVvtAJ8cqnqlCpEpkEuWrUDonDVi0INli/gftK1p06Ds3ho5hQoW1BdYEmwXSYKDGUPkYYWlEVEl0bSvcjsovGQZqc3rQRUn8IizmvVpMjO0MGPp5Hdr7cClVgc6Mu6qaLOBA6VUeDAfeXkV2HPlQbB7WqkuTwWDVWzWnZeV8htcs6u9y6Fh3S2gSNXinScU5eLAOSNb4nyQ3vX7eNby25YAbZOPQTJkUD+kb7CAJdJZTszjSx5ZobzTXSNnPVPfeSalCJgCduKjgxhTEgmWFCyrXwqKo3PhiqLfb8MbS2rFqbtp2dXhZ2LdLii8Sgf/WISN+D9wMKr3zdJJ/y+rw5gL51+arXq7aR1JH/B+QWlBerHeVJlZ4b0f9dL274cvLEveJeTyVBD5nU6+N4Q8/ipftBoGwhS95ALH7kOuzTSRvtlQ5u2I2fU1LmkY++Xdk/hyk1AuRSPwotXY8+AQT54g1essx4LsJG8Ks5GyPLItrUbi/fFGj7SaTRX+XXdDNBfdVz7pN0zpFR9NnWAzf9f/oE8eXPIbBz9sjY8nOu81XJ8Ge9+kRjw/l0Ax2UxoxHmPrrkjjdT7Ee+2u4OYIOv67n0Kgd5tVsY4lmwsernN/Xz8Cc5qdKRsqytF/7tV+zv/bX/trzPwOq/yN/5I/Yf/gP/+Ezf+9v/a2/JdTkL/yFv6Bk5PfKC5QBPYQUJU5LbFEwftgpGAHnnyC64B8+VSa8hMuNrwpax8BmU6VeKtFrPjkYkjZFSTWK0mElQhoJjBQ8ZeLmmpKhxjsL9XBp7ygsBiYuypj2isSTIiUjtDwE293QRvhJXvQkmcRB8ZPv8O2n19KloM1B4D9bboRMjOLYITU3fleVBfwGf/jA66DPSfK03dJ2clXJxYJRyc4tbqplf5DTouHfiB+JVIbCJToGWWJ1TVLkHXXpY3qS2ralkgdF8r1UX4kA6fPCjVd+PwEjuhB2MTlk8Nb7rvjPvTPLVOWfLVGNNQsYhRu4nqsmN5LYwpZvgn4EAcCPNye1RMK++/haCcnBZOBUVZn08UkAAVpiSV4ki0ri4eVKhwdjevBjzhaORAkh99Yoc8JIukeNiKTiEPVwrpc572/+c+jW3z9Vm/BHfNLSw8asuf4Qe84HKM0+Pt7ahs9AJCrBFwYdk+Y5IRb+EGgdfyRjN41DYoHQqv9OktET+3QQe7SD1021UJ49E0CoMVFJhZHTO2Estl8/TIfSxoNsuVkX9lT6I7G7r0VpzzRe8uLVv3d/MPeeMb/XXj9OKp1rluAU7QhP+nz59arY0n9/HKtZT0yvyczyxuTOy5/z44zzejSAwEOREKHC6rkkN38muiFdL/6tR1DUBfBJ801kqv/8z3qppdWanc2duJ7k9Fnb3asVYz/v9ZN6udx8v6D/Puwh9msvVf8Kpdr+e33eMwV5gH/x281Rf8T40G+w8oadxstJVZ+w/E7IkPE5vZVBL7K34nksW3sWuenKXWlj/R73pjk7OxPKcevWrU/9Of/7e9/73it/59//+39v/+Sf/BP7jd/4jZ/4cwqIgsWLnH0+n9vv9At4/3CSuc1H4GC0Cj5HtbVbk9zePBxp5yBQk5b1czleiTDF/nDxs/48USB5DmXeS233MLI0piqt9bBJKEBhIHQSAPg9qk3+Gxl1Ag+BVCqIVP4bWBFMAUTSbVhVBA7X4kEmnc11M/v/rJf69lTXIAdMhXio+IwkLG6tHXXyNBErXMxsByf3b6747+F5ghZwcdW48Tp4COrBt+gTdEoSkKEgSQN1oA9ZBbULmBEiWdzPViOzVOO0MiRUhFBaEGis7NHVRjAhAk18DveFiSNQJd5ImgyeBb4zTG1vkouwFRcbd2BL+Mf/Tt3YSjoK7lmJS+BRLsiiHAQgDiAGEI2D1k0qzBg7zhKRuY6Xre1NBo60vCgFcz8P/uIygFeBgpUWhbEmr0hMrtaQKn0QiRu73pZ2ey9XZbKsK42VS3DI3+d+ugDUSWKOfqqB3wdaLn1iIHflGxC/pNCpvP19IRnskZvjeaUkgLYZSS/JsOMY0eJBHO9FQqGxXZALTQ69UCvlfvaHNyjJDT0uvcSbCXn+mZA+pmX4/n1dpSkDJKnFEWgF07fh1kbV0IZoSYgr89nHP5/1Ku+Vz3r9brmtvur1k3hKcYsZN/3tvHoX6P59flw1/hMd9t6LRoTgz7heu9HS6QOh8lifnPSS6D+p86x0RLwUOXtOLcEbqsg/TULy07xeRl56Q8ze9+blds9P+vofWV99m7D3KeLMl8pt+9m/87uViDc/8v2RvKjs6XwtnuIXnZD8rk7TLBYL+zN/5s/YP/7H/9gODg5+4t/723/7b6ul87v54kbf3UGlEZIfQY9xWNjFTmr7Yl5IZXWYprbelrauSptvGgsiT5T0kJnTOWBENLLDaa7q83SNQJdrfcChIHEhIN0aj6TbcYG+icYMgO7diGRvTPfc9RUTsATlQSTcQ7vclu7PvUy3Wks+GPSF5av6rk6r5IWoFYqSSQ6SAcfFLFrVahsB27o3YWS3s9ST+Pqqi3n6nRFCZm6clN/13Fkt5GYLH8UFR+4P5MY4qFUFyVyvcDPukPJoboCiTAexxUGk64dcezrfir+AeaE+tQO5csOTUgVEspj76SsrZM+dmFjpOAWe4EgLCwE5RhX51kwZLHvhIM+zocWCBD5/Blqzlw+kFbP200kcVZpw6MyeXa6k0IsGw3XkUAMCs3RXQvqsjRKwUUbSCFEY0rKvQvm+oFq87xVtoVTKigWCa6GbTnoOC0uqnvHMyOaL5vm9lwO0h5eft6H84wIBcmOoTp5ecC4TBd4PidbAZVs99xABEYIoTAuINkwaMsruJOghnkJC3BuyJgNB9iRnvPh+E6GD7r/7Klt3qkPwL7GT663N106mvW/N8NsaFScgoUTLGl6bn/hwDA8SWIlVvbR2cXyF///TvIKX/v2TVtP/q7/65JWq+CcN/D16QODeG8UaU+f5SmX2p7yxPS9HZn9MntPW3jiZ/H6tJC8lBf+jieXL39NPIuv10yDLv5OvnpgqzpwnRPdu3696fVHuvkK8uk4k3w9PlvaNO7Pf2zojJBSwq4+Pjz/15/zv27dv/8jPv//++yKu/rE/9see/xl9Y31wHIv0+vbbb//I79EGgiR7Exl58OCB/U6+gM/pjzHRgsgUREYlCMoGXYUI0fFrd8b2dL61hycQLOEmuF3iuZm2P0ntznhgcYL0cWjpILXBAJ+QlV0uKsddoHLFn6KoJbNOyAjVzw9tEZXS3+iVMCNaCWEgc669Sap+P/ADSp9LxKVCeAOgJu7zUTXsfQ0ITFQgL/dPaSlAMhRXhRlz0AZ5brvKfMzsOap88AvQ3PAV+oEX9KGcmKaOjCkFx9iNhAJBf6pn7+8LSUPsE7Sgqp8z2nfzUG7GqNqqPdGByGxtvm3k6srYL60a/lxy0CKYut/lsdA/1/30c/tzxvMKJo4cgRairNpkvXMvE0pposkekknrpbVTRqFNBoIIw8CVIAllIoe2XZY01qHFEJGADNROkqhdFNnr+7QWarUhXPB3egRMG0kHpRer69xUDp/HNBMsdoJ9gKonjsGe2MvtFIHNI2UY93Gfx8NGfA43MdFZCI/HQ/29xwbvHXGqdahmOl8fyYoHL4zf5KkkBqLTaOCEljBdnslED80QrhPJ7p2utYuNQ4Z4/oyn87wYoV5sSCTgPb1Q02Vd98R7WpwSPfdJ03OfjZvwM0m3BMvcZMkgheSLvg9TFj+6R3/aRKRfhzdJqr8bB3nvVNu3y34nXjdJtb9Tr/4+PG/vuKGxnxqJ6NvO0yi0KnU6GKB1P+2r50KAGGp6CKTVC9z1yEX/6om1v1OISd+S6C+7bzd9Ua9+RJ1iQERp32q/Kc72qtdPe5t/u8mLpi5p69Zuak+DEl/w66dKRtI0tV/5lV+xf/Nv/o39iT/xJ54nF/zvv/SX/tKP/PzXvvY1+83f/M1P/dlf/+t/XYjJ3//7f/8zE4zBYKB/fjdfICFU3XAmkDo/9dLtpcRzmDZoxI/IF4F0E8RNiJ1mAJUeCACVIi0ByJgo3iH/jcttUDkxLsbqVKH6II3rLaJSIC5wGYDNswHzkGvbXDWCPfEa2BkPpCuBCicjWSj2EfZABUARnotCeQVDgnM/+uhpAc9fPaQ+loqp8xPB84G2yQF29Ohw4DeTIo7lnifiZYWSpUDtlsW2seNNrSQD7kk/ItgfGP1hItdgUJY8lZoh+iSY7aHXkKRY0EH27DSZwuczrgpHAdKwZtujyDYFaqKok8IfCa3FRAwJaMZmIc76L6QDFi6MXGhDcXJSjAPFHeEZgWAx7oghYKjr4iC4t5MpK4PdD1k2amtJTJN8EvxvT2PbG2b26GotBdFRHNmd3dyybWhn16WtUWUUxBo4kS/kw+GEzIYiAkPLxeMHTZP5upIYk56R5ModErE1FFCd4Yv8QzRuYlZLahpTrdTabqDrX6OzgPLHpnju0orhIuPfvOd+PrDZaGCLdWkDjaejjOsPPC8z7lQWQapc+wW05xIzPcTJ8E8apXZnJ7P94UAEXBR6EQqTsqpFQvMwJ0TVdJoyylxoTFvcY30nFEpd/0uqmjfW6E1vkB4p6TkIcEmkmHujh/3juA8/yatvYznzL0dafHkc96Zj62/nUP+duM4+UdA4c+JQL/RJflwweXny4+Vr7fUuaImoFUAiCunda9L8NF0jl1ibna8a6VIw9rn5vFL+xjVxHb0jcC8KppFmuBtMNqE34pPOl5/FZyULL6MlfZD/vDZL31YqX4GQ3Jx8+WlefKZUAmj/ekJ5v35flVRqEuiGs/P6xhr87byyfvTXf2Cv/ZL+DyTxapmlztfr9zxnhBeIxZ/7c3/OfvVXf1XaIoz2rlar59M1f/bP/lm7d++eWi1Zltk3v/nNT/3+zs6O/v3yn3/RL9ojl8vCvv3k2o6xb99U9uR6rcMVozT65w/PlxKtoo2DeBi28ASDXtWPCpNN2lghES6qxseXhR1MkFSuXfsFxCPyY1WBE91CnAv/lcWqNIZYGbHcxQEVlcTGCZUxjrU7SJT8wBmhFQR8TxCSZgKHlzemYkOA7DCj/ipSHVU3lTBTNOfLQrwRJoV2c1ABB51zMtRWKTnDW0IeLirXnCsn8O6U+XaSNT6vV1/05n6OPwG5FFIpmT+iYTi0OmVMxmudoiDz7s6sbJJiTx87JIVJnkGssTmUH93ED6JmoePhIKbE2Gvpxoa5t0hEw/2hUkelk0menpyF/DE29dJKaBvbnWbSlilLEAumqAZqA4E2jMNA0y9HE+4xY78mCX2MEHHKPFvAJwosJNnRu0c2b1ubkGUitBWYna2Qwg/scJgLAVkigS40isqfCpBng5Ju6sTNlhtN2ygB1rSLqWWIwibtjEGc2OsHYyUGz65WqkZ5/0lG4jYQ6ZdxdO4LiS9qtGiHYJh4IcJuYyFmjYFXJZXWR6nfE2+g6CyPGxtPM3mdYCx3tSy1/hYImUVMhSUi7p6v8DJK9BxB65CIR/0SFI3rhVzNz/G9lbBWL+zTQe40jfNSwOjHNMPSabEwAtsrcf64V/45XBIOY9k+MbHFNBDTR74VcPOlkVO/N+Soe4O02U+KvIx8eODtRwik9hMkOf2f9xV60O8Xid9B6I6UMEQoln7O+KZQGe8f1H+H4iWyupJ1JxejNYiydBOWTujsRlLwk1TQSuqYQqvNNgES9oG7t+gGvSKS8ucUan37kLXN2DJ7hMTXd+Y0ccWf8/1zCXe9+DyR3/3/Zr/dFJh7ORm5OSlkL/0979NPBDU33k9Iz0s6HT/NS9L/8nxK9ZwQYNMI+I3P7b9Ln5g8T3rgf92YuPlJELHwpTUlVBSxOf88Sf77BKu4EdQ/b3rs5ZdrxSW2m6Wyc/g9P03D60/+yT9pp6en9jf+xt+Q6Nnv+32/z/71v/7Xz0mtDx8+VKX6P4NRHq+TRWEnl1tb1jjFOsEYJLlxiYTUykRNpkPZwdOiMnhxITZjmqA0WtuqSoRmPJkXdrxobG+cWRgWcm3s7aIJGp9cLgV9Q3alMl+uKguS2kZ5bBXERvXkkbpuZW6E1DhkTg77YzmjOgEuAqaT0HZtBqZCcPF8lb25hICqRl4wr+0ObcuIKDAGo7RhpIMDT499uUG6IOMIa17emwODAwRr6Q7ti06wPqgJhmMkQ5BS9/G80MGObLhTCNTHRJ2SAF0zrSIlIrGSInlOSAfEabFQzdHGmeS5Nt8j3mvrnHu7IrFo0FnFmKrn+MxyDA2dtgv3zYnCOfVIjAv53ui8IHVMwF4zehpH0pchuUxmgb2+u2OJTwz4s2cLZxWANwbXzbN7/WCooIu+LXolwbV7rrTeMPkSchbitdPY3iyzu7u5XW1LkWhJNknuUF+FS4Rk9514rLbf8eVGiW3jp3BcG87N/ZMY3d8ZaIrnYJQqAHF9KNpO08TpomCvTgah7+xmLgYx7aZKmimsVewHEE9La/o6rXVyp3YcE9ciiu10DtrhxpBbSa+xDhxq0TSlXSwQqwrs1ji3JHMGeNx/1uKj+Uoqv6wnuVJHJEM464K4BRoLh5DdO6sSfEEQEVhCSwe1VxJODNHQb/m8A5TrJbkjYL8qGeH6Z0hsJyR9BJ7aThbt80Slr46VfEC8BTHcuERIZF3P2BTR2bc8+8qeF+8kXlTvsvtSIOmTjT7QIGQrx13Ps2HNy/gviO0AjyG4YOJypUIdOG8ohOBsibTqix+EynjMvZ8LHCA4aayvAi0kn5yQSPXjq2NnZaUReknBe0RR7rP99yHx8qRojf97Dlj/UrCkhcg1e20g7hU/N/H+N/0UCgFxZxRq71H0cPaxn7O+3UvSlcfaVxQO6Bzx/TL/YHqBOy6mn7aRjornxfVoi9ROvWiXhNh8ctGjE33S0q+jvo2t553jnttJ+MyLCTv15RsoUP+9+3Zj3/rjMzkP2WZMg8lIdAui+uk1qCTcL7Jec0WyAmjtvLRe089Iql5+dTeSKSYTWUN8rgBWP7l4c6BhcGMc+MfxY/TdUsdV2x0lmnL79EzlF/P6bTFUaMm8qi3D69/+23/7ub/7z/7ZP7Of9YsWjXxD5K9NWyi0YRVag9PhhkkAqrVENtggEhys1kuh4z0D3ElP3hMH6fFvt7VdLbY6bIYxAlgju787sqdXKwlPAXmjLXHp3Vzv7wF/cwhTCbXq1wFFDK212SjRhAZjrgR5XlxDziGSxeKbrKSk6RYegUkJ4Ka1VejktdkE/Govj4z8O8Ftf5RJAfT9U+SzA3vrYKRgjbrjADGwlqmbWmZfmPs59083EwdRk8QDGf13b00kT07QHuKuSWsGT5+lGz8eZjjiBuISBHArIh/c61aJAI6mfA/N0gcumUAWHl0Ogm/FyShl1NB2hgMxvBGWw+hvnMdCgUCMCMDP5oUNs4EdpKHdD3K7WNWyj6f1ohaI36hoohR+oqdbuXsqd9aitlmQ2LqmzQG5GGO6xHbz3L5/unSy217TGUlwyY0Xpb4XZFB3UOEgTCvP7NYotWEe2e0msw9PkVB3BFySE9ZPYLE92M/E/akRYttgdtdI64PJlziM7QBnWw5hEDXvkdIWjYK3dGACszd3RxpFvliu7XxTK6gzPgsjfrPlhI4URHZzNGtie79aWCNicWhJ9gIF4tnzrDC6IxCi/bJt0Jwxy9rANk2ga4LfQUuSFk0n35BIZGYEBCEds6ckrBZE2kHyVkHHpHWIC4c50z13Z0MlXfPE7NZspPuD9cKoaCzxap/sMbZELwDm5OPdAYzZ2c0K+iZaAXT+5uHEDqdDO7neCLEiWVRnwf+jhIaERc6syL+HFjIlRpvEcxhIIoTWgKp41U0+W9+Bvj/b9UYA5CV7A+TH/fg+XwSXY9ptkUe++K6z8UBCe1gpsF6U2AWR80tCbdSTTElS6VZjNIl5phx2W/hHpBe0/iJbNBuhCs8VZ/1aV0LUt6hkWeBNEPn+kODldIy2ECPZLglGOgB9GCUsNxRFVYz4qTH0kryGlpIXCNoJiJaf/oKoXndMQ5ohV6NngukkVgyI/eEHNsxsvq0sjR0Lnnb4MPXChLSpHE3OjXV7ngsIFiq2JA6j1IkNgjAzIUdyz14U/yRgssvdDJ4lawbyLbYDJEAUQiQjXQiB3SE3uyO8rwI7X9d2tUEV2hNLacdzdvZmeP569qYDJdQXi0LcGZ5t1twY1yUmeCNAGXT6JFktlRuvPlnYGZjNkLwvOu33PvlRrLqRpEjvJXcuzOgHRbnzpWIPImQnnpzvHzoDyxdJ3atefTsPlIdYxtmIqCfx8X8KZOR/hRc3mg3dW0WzqOAugH64yY9Gm3aacQg4BURxGcjoBa06KWaQAoiaqGlSeUL0w+GVw4VFABJxNM5k7KaeJX1+T2JSgtO1quyRFndTHJ3NJpmbjUcsS2JgnhAZBJbnAxtq82K056ZFOOQ1XiNr89Bu76YSlqKCoQ1AUKcyfrA71GceTjN9F1oVwHLv3pkKkfjgZCVEZKsDMLaDgWs7MU6MWBH3h6SEzzicDKUlwSYkueGQ5F5AAD6cEixru6ASZlFHeLj0LRWnKzKIYmsIWhxUWWz31CIo7NmylAbGQA7GWFy3NsoYOeUzue7a7u6N7CtHY/v4XNmE412oQnRcFDbSTo75V2XLCqQlsnu7GHY19ni+VQLIxnt8vdb9eGPfuTTDEZFvQxwqGWRUm/fCoO/JfGvh1dYpyyrAtpalKPXW1pQ02tymp0pdFxjQhTZOUrvCOTnn3WnVRLY3ie3xFUJ4gU0HA6mVvnY0sexqY4+v1s+dMvHUOZtTWWJqVtqStk/sBOI4SHc5HeW2ipFjbHvToQ0yPEUiOxoN7AribEQigu1BKtSCBA4ECRQPU0OUgXmxlqZ5JJSLBAQLhG0JoRo58tSWQulAk0Lth8mQxNNJRytBGIZ2L85F/GWapmCyqGxsi+KwFmcrU0A8fuQinQ10zdorOyOpAZ/Mt5ZuQBwitQEQ5wNxBI1z6qOdEl0CKIiIuEq+PcnN71ssBCEcnHG5HiShjfJEaxdNH5Ai2psgDrioHkyG8j1CdFDy7HEgzxdWgXgVtCVuKMiShFCAuDXcWUTC2jkNELVcPIGa0WWSGEwzSezljBxFSo4ZqQ+8p1ALqboolDxiz4DJIiKEg3Rge+NSBQL3iPVLwgnipukGTCtZ92VlGxRSvZhf7IMh10tbrA9gFCTuPDF5UZEkQ6iGn/Xu0Vh+PmrrBGY/PFtZ3XhuEucXSUDqdWSwimBtoJbrAwf6SnKOBQnwI960dMWVkyHbDeQlCG1vCh9h4EZ9OYMQGow7FTK0hkEmhap6fRyXAPInoVBn0FFsEihqOJWZxqPY4ayUqKFXZ2b/yZHYGhWUIKJJ5DyLdjMciyl+0P9JbBm54rDqIpkWEpg5z0n3+Pw+wJNM0WqV4mzdyJLgpvAgSSPflbgwzgZWNpVTPvVqt5x/EOlRw9bLt+FIdvZpH3dI79cWk8TdcGjWHuVekgRLwRleUaX7DCK+k0e2JKWU0aa7jt5BWNfv36NPcG4GfBI1teFyJ+xIwsv+wn2d9/tfarT39+qLm3xnltuTi5Wz38ZUShs30oaicmTCgGqXtgbKqEigcyBh6MZG5pAjo0e1E/4F/XmIsCx89C8gXYIAQJ5c6DCsnUW9tdrcmIpxUB2OU7u3l9tyXdnV2hnMzYva9vLMHuymNt867QYSB67HkQbdZ0NcPaGatlYw78U6ErmRTXM6X8kQjmrsXca0BiAIG2XUqM1yrSRf758ulPUP09DKDQvQu8rSzsBTI3UmcKvN1k4WjtQrJ16hL86MTe2ttrPX96YKKO+fXlt1ulGPmYCEvDmoECaD+7jtJqAQOO/G9vbRWJAgxoMkggQqEJuuqYWeMHLLEbUqPJdjkslNmWADqRIUAK2Px8VWsDUVPIJqeRnavdnIlkUlx1vaQPOykZgdhyB8CLllWqsqjeSHQCk7d9/nOhwN7On1Vmq6KK2yuVFsHaWxiLOfXKxkyKYxXgI2RnF5omcP+vL67sj+31+/Z+sS47iNHcvjJLTdPLPz1doeXZAcxUqmmKLhe8QR+irOhG5xXcrTYxc435uOUVne3s1FluXeEqTuTHP72p2pPbpcCuVhnc52Mq1FjBFpkWzbWgnW4zPaAFTirZSBD0i8slQtlfl6IbSJFkrXJnYNaVk2BQQY0CpHGMbJGufnjRyQO/Fb5put1ijOxwWOxPj5SMTOW6YnTon49jRTwveVo4kkx4GG39gd2befBJZebBUYnhVMTQVqleK2TCxkvZW0cLwSqRxfeUgkGPS7xyRfoGq1kLJv3JvqUH1ytdR7QDJOWtpOJFeJHY7YW7VcfcPIuS6HAclUJXEsKn0hE4kPOEI8I03NoRFD4cA10KogWJEc9YKFKDVzHhyNB1JpZn1QiFyuKr1XEheyZaCVy5mDLQR7nzHqcRDLCFLqxEls03Fqwyi0+dXGFkXhBRed6aR8ejxiI905rmfI9TlvIMjKIGmsXZJFlHxnVMHwjka5/YE3DpWU0/pTm28QWbSDkzZtVb4Hif1AyO3FevNcBA81Vjhj4o4gPeCNKWk7FhHtVpcEyffI88ryurHdfGRvHQztB8dOTJKzgsSXtXwURtZiYkibmSSOdmbsrpPrnwxJ/hvXemRKjrOaM3vQ2DHM+xhzwdCf3ZHdHid2jgyDOZXr3o8FHhrYGwmJEN+Q5xiKY8OARpA6pWvufZY4R1zObq4JUn2nVjDtxdAOx7TPWRzuWcgkcxzbvZ2JFUVpx8vSNkljKUkI6CqX2SdoHpHYm1DoUfy65F7r54aU/HPEjTmHgNYQI4zuLAJ5rFP4dbEQXabupH3FuuW7+vYan7Xo/b40cEFLGTsROIxO+XoySJQUwWnDooHvnMZ9E+mLeX0pkxFeVOBfvbNj3ztZ2GpT2SMChXq0rTb03ihXECIzh9PwYGfokALYylumYBDNwtvGISE7k1AQOERHWhEEc+Drok5tvtPZJ6cLO9faj5SBMjFBNf/gYGi3Zrk9srV69MClbFLaIL///q79t0eX9tE5mz+yNEKtFUdbAnckN1EOJVoqTMDcnQ7k0/Lu7di+/wTSpNvYbDbaGcNkookTAu/BmEO7tMUWr5Raf86YJ1URCAeM+XdvkSiYHFgJgiHlVxAIpSBBKorW8l2Cfyg3U0TLXKvAjaOezunPOtl3sF6MAEEEXjvIBJFTlc0GqZ1vtq4Cat3EEITKNqIt4HgcVPMkVbd3ctsfMe7sUILT5cY+OtsIuqYNAeJBK+GNg5FlmNIlkUjIHJSM4t6eZAom4zS04mqrwzdLUpnz4VwLX4Zk4M2DoR1fr+2Tc3ziO3v3zkRHgwTyGrPD6UDQ9WKb6WCS4Z/XKuFZpgPXWro9y3Wg390FSYolxT7OxyKAXm+2et45tXIXKIHlEFGbpfBKtjmJMyaCocjMawi6LYTA2u5Nc6EIJHjfuD11jsB7YwW2J5cbtY/u7YykqEj/fupbNQ8Oxna44wIjCKESTRA72pa0wfY5/GlplUrkhhptdoRYCLCPL00mfDUid20oQjJtAIH4QsoGVgxiIX0b35t3h39j87S0LI51PyYDXJc5gOFRrUUWpqzM88gOgoEO/U1dOTO7noPhuQ0yZvPVPEEP1VcS1qZmZLuxzaa2T07WzlIewkJUCg2gACA4gyp+dLGxtqv153Tyr5buOkE1aLXCzyHZh2uE6N3j87XzalqWaicQNMZpYJnE8lgDrkSmIs+SRGgkbSx5zkhMEa8PT2AkSOMAvAls0mBHwT51KCdBC/Sj7VrbzxO7M8nUDzmNX/R+WEdKzDzZNvUcFondtQRqrsFlRrQlNF5eF279cqY1ZpfL0v7rJ5eabju7xkuJtoaTAuf+sBa4V6xHJ2lPq9CZ8dFSJXHGiVp285yRYWC7WWJVho7MRoZ+oBX9KLoUjks8tzIbDTZyjgZBI+iTsELaDkn24ljXCtgLYjQZ8GwDBckrtYBBRmJNkNF2vTXLdI6SMIM/s9dBLpCgeLDrlIAvlo4zA0J1tVzbvMQtGfdaV0iAMERRqtYs77+uaOeSYNG+dq0hFl5OazN2En3gNXWX2P4IJBS0L7Tdca5ihyT0k8uNpYOtClnQ5fJyYSUTmj4ZIZmhOJDidFAroUCfqLRWbRt4VuL5ePsMmdlR1AWxRXkoZKksW7k7p2Gs4gragQq1FrO72Bz2BFLS2AQUHVRwyKQM15/YXkbMam1Rwb8zTdRxHTIL/RnE5C9tMsILCPud/bH6+g8g8S22tlxsrV2hH+IkvjGCAx5l8z0hvYTa12wt6lJVs1TyUkaVzTkz2kiJB/bG0UgV6aIs7Wq1tVUD5J9alNEbdf10+BogGiiNsrHQLMFsDdgaSBEDvyUbeBA5qL6oPYG0VgXiJOILy+rIhgcTZ9RXFvb9p1slEbemuZ0stna+3OhglIJi63q36JgQsIGDm9olNfMITggtCDdwuCgbNy3Bd1Oy4EZBhXYIPu20oag4qBQfX23s1jSzu9OheqazfG1ni0JeLFw/G52Dkgvhnt6ZDO3986UcbQ/ggjR9eynSoXdvd6Qq+gxL7dBV0zgn//BkaSeLpQir6MSQcPA9XtsZ2dEk12YH1RgPI01IIaYGFHx4N7Nnl2t7eLERt2E3H+reg/4Q1Ek6aRHQNz3aYcoktnTu+A+owhZlpaSBa/3u0ys9Vw4XIH/62KAG2JzPN4E9s40dz7kfuRKkuxPcmB2xc5CGrrpKAvvGvbHg7+NlocrvbFmpEsRFt2lohbleLiJkEBxpLXDwHO0M7Z2DsRAmUARE8TYl6r6BuEpwXB5dLy3sCByxvXt7qvYMAZPKenwvtqdXa/voYm1dCcIB1N1at6ns3iy3zaayXCq4TqmqayIbTwZCpECgSMB4jlRTtHHu743so9Ol3nuWJ3Y6SCyIOVq9GqsnXBIEdrJYzxHLg8eXa1WotCTmTWWX60rrmrjbTxGwYkZ5pGdV4Poq5+DYRvAGhBDhsQNnx6GejKU/ut4ocQUeT0Oq/cqGUWyzYSQl3TFBIcysbLZqfbHuN9i5k0jTlfAVJokOBYBrIPiJBU94LNDeSEILktiasLOGlkwcWip0DT4aSr6pWoTQykmOCa0FWYT0aVp7cu0IzKBN3AMqWgIkrRnOF5K7RxcrBWY5VBO0PXNWvk3wLOBuIDOQBnZnkovXQ0JBcUGQBxUAsUNkjnZv1dZqYX50tlCrAs4byAfwD58bhbSuvA4SqGHT2P44U/J6utwqcUITiAk59nku1TqKHIiUrdqIuONebloRLh3RPtS6J+DyREFKQXjnm41t60BnZ9eQNNBCiWyQMUQAGRszRwivtCEgf8dK5kmQGT/f+GKF5889AaEkGaD4IsECoaIYa7pan9FzyLKB0/DZbhAs7CzMW4urwhYVzxTzzMhONoW4QUyIKSEBgeK8a+EP8h1Ce/1oIhRhlqV2RHsQHgpcOBLrGNSRxI/WF8lKItRJU23mxqSxaWB6M1KeCaHMrRNkWeH8qEOGWjTJHiQueHU1NAH2oWvXg3qCFE2lsFhamjBMMNCZQmE8HTCJ2Kq4pt0FUsT+uTcb2tliY5sG13HOrs4OdzO1OnleX/TrS52MCC6+PbP/+4NTVYrAwil9s7q2h8dLSYkfjKmwY7tSwuEMDlj3l1s4CbWq/ShObHfEBojsFGVJUJHxQAer2gaDxLp5ITTl7mwigS0CNBMp+IHg8vrsamu3g5GqXqBLkBogy37yB2IY6AcnM/kuLRuUM4EmqTg+Ol/pUAWCphXzxv7EChZpQUVORUHFRDYeCab9/slcYmMEWJIy+p7An1QJBN4ZFR/uwJUbGx0OBta0G20KDgIHBdf2g+OlI8R1gS3LhUiQv//Bnt3fy21VlLZOgdldRQ9Xgs3EocKZhPiXphei0O7OMicTT8XBWHDpghqHB8q23FPQJPq5SKtfrQoFUEi0BGc4MVRMtNye36cu0IYDueJQJ7lcrkq1loZZqnvHZxIk2ejfP56LGEoA5+BFoI5HznPcG3LYpvaN2zN7tthYW7n2FUlQ0WxsPBjpfoBGvX44tIPpQMnI2WJrZc3kTmWLDa24wi5XziRvRwc8UymtZbT7ZrSTzCUNTU9cpR0FZJzY0dTxP+As0D9H/4TDnYkwiMB8Z9oeJASDBI+dQAcMrTUSXEZvH12uRTgmWYPcKb4EwaXBHoC+cWS7E9dm5L3eP10JXeOeMspIEIEQSxvq6QUE0a19696u7j2/R7XLhBfaJeer0mb7JMGRnh2fRXuHCo02FMkX64FDOxgRfELxO4q6smt4W7S7IBJC0lvDcyDwcaDSTk2VAIO4KAhqvDmSjP/RZKAkHO4XYnTXCNnFtNacXByBgCTx2aqwUQJXgcQw0V4g+eCgz0NabVSrDjCHGwZ6w2f1RmNMPYUhaIJz0db3Khq7DhDxA1XYeEGSVno1V2qhRQoO1+LlUPPjqxRJn0aaK3C0aONmqcii75/MdTaRsLEn+DfFhBAKkaEd+ZAg/c7hVOcJ65PkHySIkWzasXB54DshyAikghv0+aKw5YApO+wWQD8ovigasEVobMzVifdCi4I2h2uNwBEDrcuYeqP9Ki8i1lJgb+wNrW1qm5+4dqESRPFi3BArKOsziq0C9MGrWQedPeVmQpb3opIHUzduzy7jfAKuYs0/vSzsjHZzx97g7uEAHtq2ow2UiDN1azeTqeSHZytbrUu7pFUmSws35g23h2IIcb80KtSuIMkn0SvL2q4azoXAdiT0yH4jicbaozXmTEB0KYJoGdH0fX1vZNer0oqSgsBJN7CuOW/KbWsXTOeFtEJSnc0gsU1b2/UGyQiXrDe9Volaa87fCWI50gCDKLD7s6GK14+vtvboqtK1Mjq9aRDbdA0dCgTO9/u7YyW3oFq0gDgbzte0fN3Zy/1iGOGYswl5AKYxWaaB2euHI3vnaKxz4It+famTEQL9dBjbtx7sWZ4sZAU/384VuE9hEYWtPZ0T7FIFdDZ6h5KmBLIYC3SZKrCpfETCgfr/EB2pfOF+FEx0YNOsYxCUwelDUP1zCBJ4IC8B2TNFMtwELgCQPMDjKFGDxcCPCscPrkHkoycfcqgw0WJ2uSrw9LWjieOU0Gagsl3hmeIF2ZhyuF6G6hne2R1ad76yy1Vrm4utDlugft58fwyBk03gxtf43ZMrDs9aAmkgCBw6QKqPr5fSBbk7y+3eDj4xpf3wdCEy3icXG1W4EPWWZWev7WZ2MMkV/CDWquJvzc7nWzeiuij0M6dyRq7t4UUtTg5Jy4O9kYLbk/naPj5d2AUBG/eeuvWTLKHd2x8KAYFg+cOTlT26dC22tw+mttoWdrou7Wpbq5XCBoesyXdLtgQ3+r2pdQ2gcaPAtTOAp0MyuVWb6M5sqIPik+u1I4otgIdJrGqbJKUNk6F1wYtnC0JxtgKydjolQKQkAATOd44mqvQ1vRJF9ov3ZiLncWg/idcSo+P8Ru8EOwAY8xxOTJ2cL0r7JNmIxDuW7Kwblx0PB1ahL4ImivRHHAGQdtpvXlxqzVKFAd1/eLG01ZbgQ0KHrghVfGyv7w815cP9pJ6H8EyC4NpqkU1T1056fLFx63fd2HvnS60/JhF4rkDVrKGqcokgiQ7IAlXu7R1H0H50vtbeQ+H2yXxlV6vGVhsInYwGxyIKLuBFoNjKkqdVzgRL3NnJqrE42Kh6Yw3CIwJJJAkDWYODQLJFUs3zpnAncJLcgog9nbOntmpFkWBAtAQR4wVUT0K+WAOpg7wNpAd0tqnEmZDOBxPSvqFPsocwoaZApAnkgikB6cnV2rk30+oAaWjg/Dh05SB3eg4QV4HWF0zHtU7hduZ9nLpmozMqDEE6KAzclIocseFteC4La0akW1p1ep6OPMz3uqx4r0oWBIuqEh+AI0R5IHlJUQsRYpJI34FkB1BHOhwuweI5s/cnuWNFQhAlWUe4URMvaaTgiVbT9XpjZQ360ul3L8kxNo0djSlGWk0XYikhd+A4cvwquC9qy7zQISEJYvoFVt9HpxvxabgX7B+QmjylNZKI+K72RMU0Wa6Eb368UsLI5CKu66A32GHo2alwcpOBELZBiA/Zr/ACdd9MTtp1jViiEzQbgBjz+5r/7aQvRCFAMYLNA0rRxIWz05VI3hQxeLv84Hhu8zWt38jKbS0Xd9YfCSeJx8UaTt0LTZUUlWpN7lRqpwmbgB9knZ2stxZeMn3FLJ6btGOCiLYm772uQVvcu3CuIDj5laOpELOHl2utR1D6RVnbdtuIAIv0BAXL0SwT8n98vVHSzFn7P4Xo2f8qLx6Oq54glkaC9R5eLpV0UFEJNWtIEjCqc2qUIBXqT3q/FRYKGSTCWkCibkrAZZ+XvDc6G1WnETMWMUGJTJUq/N7toYIaWSsPniRmS8UfRUo0yF4fn2NHjyhWbaMoFkR+vCjUT4Yzcb6AcNepKm1qfGBQS23t1mwg7kC7AH7r1KIBTaF6u1gsNflyMER3I7ajOnNEKCZEEPLKE3t9b6yRRMia33k8FxSKiBtV0HiYquWAiiz9dPqqF8tKPV0RBRmV3VT27cfX6kUThCtGdwURQ7xk0gYUCtG1VNAx94xDmYPj+Hqre0UlMV8507Vb06H4Ity3//DDU+m/0C756HyuQ4zAc3fHoSe8/+nCbXj1u8va/usnp2pVAKeSXPEcL1ccDpWbUBmgl0JCxqEa2Ju7E/3dRVsqsFOx0oMGIWmaSEkUvAyCB4ca1d3pqhTZkOf20Ykf500csgEqNIPzMh3ZclwJFn7jcGJN3dhVAQGXaYGBPVlcaDSaCHNvD1XgyjkLB2afXC3sqe6nQ5Q4PJ5dR3ZnJ1eVfykhuUbPlASL58CBDlLQIzQkTm8djCUoR0LN1BUZi6wI2lrEVbg/BPZ7O0NBt/K8yUCpBmoXVkFgP3g8V8LN9wuC2j45XtjpYCAnaJ7D5ZLxwEBaK7TuYo8GgNZhFrmfpWpBkjiuotqefrx1EzUihsPdQQmZBA79GgeRo0zK2OMQFISpBpJ7pm7SVm0S9vCixIAQUTsQDyZpgLapXZ3SMMksQRRuwwqtGAlaeJVQrymyLUsrGgQAQQUa++R8Kb4TAmKpl7KH7ynDN8Z/Eenz2igE8Of+UiIjdnKChpM1G2W2g1VE7JL54+VW7TjWKcJ6JMegZbw3WQ+2AqyhkPXFlbUEmMA2tAz5HKZHGL0G4hd5NBBKdWucaZrsooOE2IrbxFTWJmTCyQm89VocmszzbS08q0A8uQ/qwIWmhCwIHPLEPbyoOQcd2oEmjeNhbHXWiYCdwMlApZhfcKaefduJYP/wfOX0XOCwIHYHd4IxWhIEpkMg1yIQWIB0NQrACEVu20IomWsd+bZP1Hj02I3dilBfz21vmomMyf0kMSP4ktj2irm03yAl72QDoaKIzaGxQ/FGkdQbVl4h1NaP1oIa+X/Dz+Ecdu0Ph3gSG2jF4IQ9SEmOQM9b7TkSkcNJYk8WW7u4coKTvSLwy1O3rfeVYk0MQDF4BhQM/GVT2gdbzlc4JIk/ZxtbnBdOx8QTX8uqtA9OF0KeRncT8bMQmXwUQLavVJiwn1TKib/U2Qz0hOSmCtU2/+aDXfGFvujXlzIZYVGTiLCQnFIq89VUHY4LQR/ebVhkxKlWqCII6C4R6eXQ5QVSM4XB5EHlgoDGwvAjWdsO7Q/6kluXXDhDPomJ2wmtmcuNDgAWKL30qnLjYLD26RGvytJOSSoaghVJDdAn8GWmzfZwS4sEY7tQB2LdsWFpvXD9re1Nc3uwn9uTS1oFjXXIQmvEmLZJa08utqo0bk0yZcR5nIsUy0TOEFg7QqDILRE4FfTytQmK2pKVq2Jno1QjtUwwECDZqEyPyEIe3ZQklFonaA3V2sWqVC94L3NM+tNrTAUdhAxkjmQ+FR5oDoH86XVlsxxoulXmTsLD86Mq4wCEEM99JtGj/aWksS5FHmVD8n1JIqYSXHUDbs+uNmoTwEMYRInt5U4VFcEfnh5TUOi4uN4yCZ5TRaUXzf0GNaLlwZqhZys10KaRJPsoG9imRXDM2QGk00zrgmSV+0R7jgBCRUiFuZOlCkIfni1suWE8dq21RVXN38FXADElPQYdk78M30mIWK3qGhSDhJNeMJM2r++PRez7zuNr++RqJadt4GmQuu8eX9vZkkrTJKTGY6LdSKVFICPhuVqVbvyUYFqBEoWW1a1daUfQjqsFU5M8ktwVJLJBK5SCe8ffo3wKYqiDMnKkV1p3X73NKHlt27az4/lafB+NY2MHkAT27IpDnV63QwBS2jgDN7bYBwf+ru2Fr2jpBc6dmL1Glcf62NSl7eSZ0B5GRYl8iGyBQhHQQACc8J8LZHx/7snlikDgCHwa11aiAtfJTSLAIaC2WFPZs+dc7vhcZr3XiWBSiLbKeFBbBCEbe4i6tpNlrYqXzxpCmq5dsVIGJHfu/fCXEik6ca0p/ptr1nX3Qcy7UMNBYSKP84m10ouCsQ+wEThf1m4MNHKJiM4/z8NhnYHI4liN3gtWAg9JsuHQti4BlP+VZxC74fdPS8rzPSSH3rL2ndYMCVWvDyNBRUjGZvZs7loS0lbBWwrhOi9Zz7mK4J14MAivFYxWN7b0Abonc4oXEpmdLSqHuvQCXwF6OegOtTbdCXUfmZ5jKqi/1l6MbrExO9oNtFf4rCdXGy0AvjP/3NTmcDKCLzg6WFxdGMKKnVA90EwK2MXKmYIF+fDKAAD82ElEQVQmYWmn12uLP2HJcY5zDNJ+rJ2Y3CsMIZ/HJXOJrZR1S0d4bv31zOn4wRdkhD103mS6nhsS9Pwea6eeu+IZVPXuTqaEmninEXd/M2RR4iexLhalJhC/difXWc3QxP/z3SPfWvviXl/KZKQXPSMRYYKDqlUISYox3sw+OFmqcksZVSt7/5BGFYlY6iiaYnRU15bQp5xA2II/UGvjyIyuMTtmkTdAbKWTNI/p1TlVyyQa6oCid8wzZ/E09Cu3IB2RlVRHcC5KN55Hi0ZTCV1n+2THkeNGsAHgTfBdyKgvAuTYQ0mPk/j81qNr9ThpL8B6AfpkgT+6pEUjyEb4I5UY17gtkYwv7TtLpPAbkfKoZtMgFhTJJMrZqrLH1/BHQh3+g6NYgl4EZq4LWF7y5JUbpeyawDZBZR+fUGUGCpSX21C6DRwiECfRwaDCS0oq+laBif+7NR0okfvus2vHeTjfupYZ0z0tY5mM0g3d4aqRNxe0/8vH56r6rla0uAptOAIrlTEuv5C8GO/WPdsWdpBT2bsWBDArAZVKnQ1JxQfrnD4z6Irk7dFdKNrnPix8V6ZChgMSUrhBIwVmuBPwGo7nW1XmJGtfm+R6f3rvoxRxtkotlwt66UDFIvM54aHFaW0jJYCVKnUpg3rlU8THIIC6yj6xN2+NlbSxnuEL8FnzVSXOAQgdvAJQtidXhZJKcepJiHhW/j7QPlEQFiS+lbgcUvEggjwrSHBwKjbbWgkRvWv67fw96EbcBnZdknDC+IfcHGpig7bDx+fL59oHH54t7fHFSoRI1qEjZ4Y2LwoFcb6nUKAWPQgnvEWQJK94Hgh9cCYY4fvI2kPRlN9T8OpKp90BJ4JJLSTrue8EKWD6wqEAVLy9m6obw3VBlPYQtYOcbkXOdNee3DjMRbRl7NgnLjdVMPmHKl/k8LWbWOkF2hwR1lkb9Do1mFnyWDg7aPmg+YCyap+A3Bz3JOmRsrPQzNamSSLvI9bYBp4D7QWQKy+EtqxfbVqHWNbROLJbE4iytZItqm/afgRtvhctju4zlEJ7Xxy6P9nAGVn2SEUfJNMbkuz6DiSawadF2vr3lfKziKLuXm+KF7opAqNp/Wzc9fVS6j3Jmfs7XxX2CA0XBNFQp70hj9tfD/eOsxlkY10WUjSWfkzd2pozxP9cHxz1fHwyRG3GNdH6YgqTsxXeB89LSSZcOJ8sj317B2RLOjS8mfdu6u0Gbt7D7sa9laLujWvvlVx5ISjcm2v2Vgc3URaSQfb9f/rwzL77+FpJOFo9vfiatFK8GBsIHs8GvuThmKI0tPM5e/Dno71fqOgZUr70kfk3/WyYzxxosNGpOJn8YDqB4CLX1tqNXGqczrsigWRw8JNRf3xJL7SxRe3k8EBJ1qutzTdugQ+BLiU5j8Ba64hUMPGB9Tgc0GUIIRM6tdCeTQ1Bjc+BhIebDbDuGvKh4Dkq88C3O9xYLnoisLs5SC5WbmQZFAF4mvdGSIzAzjWQNCBDr//OUnv9aGi//v6FEAx0EKi2+YeRXUi59OMZ7aOiO15uhCAwjcJkB+0fKtnvHl+JHNbGrX1yubVt21i3MTsuVkIWYPST8FxvUhn0ocUAM54KD9iWiRL0nzlMQYCSIax6fq5SRUJCV3WlkpydNHAETgTj8oGvIlvpllwtt2qDiA/TulYY70lLBMIsHBHaLehRgNaQHDB18N0n1/bD47mCEokJInEgPTD2peYp3QxEwKi6nQMvzw+UoWkqawexJpuSMrCnVw794gm7gIcOghvhPkNEqm5EUEaz5OH52uKQ58k4ZW3dam1ZOlCvmhbg9QYJ9cqG6OIkie1QwZOUkfAFgdpeZ+qhX1n72CW9JEJoSZCIMcVClcY0RdVgd0CLyblTM5a9QY8EqB60A9GpFkE/kwicPJpwG6avPU7VQmOtca9lYdA43sl1EnqomUFLFDJJZuGPuHFiWgckHh+froTK8ewYcxV/yAd+9kgOSuDlTQkU6OCApG1uuID1AWNM4CLwCqmEC9ApiSBhhHxJm4TpBtA3giCaElTlfVLQByk5P3uRMw50dbH6M8OLVPVaDbhr0zZZApF4oTOSo1519GbyAL8EaLz/HLvhrdP/nGTPvdy7YtCNaaJeJv1mwOkTH4IkqB0JuCOIc38Zi5c3uAW0al7h6aLvZF7VtOukAgwSyz0j2SVwbrFd+Bzb3MB70cikDV4Ok18WWZ463Q3OGrn0vvR7Ek2TT5VPMmjn9P+Niqt8vFwLac1+70XWvLS5fp92Cz/rg2ni7xdJUTsv5ZFFS8Ze+u69TP9609gPj6/9pBqTh5Ft2Zf+vvbOxpJWR8PFt0JYP+wJEsYVHWWmGj1XCAJod9Nx2KNoepzeXZ171d/73iSx/3d7wwTxVS2cmy/9PG3LyGzevAJhwSW+7GwelrpeCcixV1KzdusSa9mb+KwZ0jnDE0+XW8vz9OeckS9a9OxsuRW0SXZIhSgtgKrVjDuaFDDr5bJabixPMzttN9Z5EwD+RUWIyA6TLEw+0GphLFRjYCQfAxdMlYp4sSLG0qTv4E8h/R2jbCxejLLURiIguFUNsZIXdu/IPwdhYlvs69FESNBNCO1qXSshEGID/OyVHhn75XtxaIpjsipFbKSNgqkany6VwC6WAuIbeyAFuGqCTCDwFMh1F6VRtBYI1Lw02kfVARS9XavyfXa1tq/d21G74Fde21er4D9+eGp22UquHiRAMtZU3NcrR7BkmmAnV4CkNw5PYyeL7GgGEZYZ/c6u0XBoOFBBUkKhUJsB3wEZdadHQLIBHA9yBNry7GyjFgoS0JJODwmaLqkkoYP4Nhwm6i3vDGHhp2rrsGlBg2i5kaydrWs7W0ImdgIXJDH63DW6AG4i4zxgSoX2mhca4s4HqME6Gfyz60LtkWnGSO5A+htotMC3WW4LO7lu1XqCx8Jnsi7iwBF70U9hwgECIwRfEjfn9xJr7BqOCwTWO3tDoTdMGoHufXiykBcO64PgwvNHPA8WP4GG+x3gP6T+P4kpkxq0shySwWGNbwoBCkQF348LDBaZXIDdj+y7T3D5PpLdb1tDjgX1SfQbQBGRt19D+t6U9t8eXth0lLlRzBIhP+eSDccCREwS8JrocCiIhLwS14qRhHeIlk39XH5d6p5ebIx7Q0BDJZhkGNSD77ZA5VORwunegDRsP8MDpP983pcXFe3NqpubMvCwuNpvJCcSzHLcDSrf4kbUbW86xjJQ5A99Wjqa/rnx2YMbbrY3q/He8ZZXb0bJ9ct+wCdVgX6BoqlRksz37AJHQo1Cr5J7o4L+1DnodVtoTy+XoHK1Xa6dl43EsuB04MMF8vOKAKnf9UkAQW53nIkEyigzxElaFHICf8lpmPfh/WjV8OeIpPXeNr3o1/WGZ+8+UZPMALheabbx92bgEYbegNBpq5hNR1hmQBB1mdSrAjvtjGbTqqhEh0Xj2/WLxIhnBi+H9xyjotx2drmGcO4KUTkPc289ytBLv/dqwN0r1gHJ53P/HP/8eH/sCBoVqC5pvemF9FkGen0S2yM2Nz/rRo6ha9Q+IXHDFHTgBNTYC/w8xR9rg5YliDQFGYXdz+Xgv8AXwesX7+3a+6dz+8GzhTNR25Z2PMdHw/X1xRhHeIk5mJARRJQpG/XIWQGMuhGgSUJgVROo+k0vGJ1xP88Qf26qxZRMzlwNjPjERjri6V97l1UmZTTW6FYks/xUhMttLD6I5OlpzyBalUHQo0VBGwhfC4hscK2ZvXcBjblyqkoSIS6CPqJ6nEyRSOHIbcBZHgshkkkeRLEKxrVDJ2aD3P7QGweaZLnSFAutLVf9Q4BiEz/aFBbFC3vzYGxvH4b2i7s7EnPiPR5fLJ1SKaJx2hiIHzmlWq4hSALb0fhqYHemQ42/5nFmx9el7SbwMzp7cr1VYofKKVl83HQ2jiGgIfXsvFuo6Bn7+8GTaymT8p1JVqjSEOciKdDIHX1+waokha3dmY1FYKave15snRR7ZRoLPb/Gs6Sz29PcqVzS/qpr2xpiZE5OHUSE+4R6rYKTsPHaKpK8IQlEIB7SgEkTtW2oWtAGiG1ZlvpeBE1GcEl2qbDlKQQfggTFG6agIrqfZ5KVvj5dWcEotwX23slSrTyRM4cDjW/udfCSMGFrHfGOYC0hK1emkagwpsikB2gFa/VgmtjBtFVrg3XAKXs0zRzpt3bJUhg2drkoFGiWBUqgjsDHWpsXnYWoXVknGwSqto0CHloIrW0h0s45tJF4L4Rg0PpSGzRB9t+1EFlPHNy0Z2g9cD20VIRq+EAkIS5k10egXqYRRXGNqFo9r0vbFFhCaOSPuvC+/FJC4BVde9Sif/Fe5OIaKKGVIjSICaZQgZt+/MuGabxk5KaxUnfNarPdqLx5gSoIPfEIg/OBciiRj6/O9I/15smY8iQhIHuHO36ek0QKnLRYChAlZ28RINuOG3j56eCmSTek2+vWHlYgfi+QoojvFjuyaYO77kuJUd9a6M0A04HTw0GvhQIqYgqk+2xXWvSK1OLi2fvvxD2HA5Z7Y7y2P5tomfnJFu5b+JJDrVATLDa4x7WbouE+sm1e5fTbP2txAXuzQIowf3ZLnI4zA34K6sgDN6XGmpUkgZ/MUcuFM9q3b7z3qNPmgdNz40P1rPy18/7jjCa0R8xRsU0hi9e2aGtb+Ou62b55+cVnkkRBrMb1mHXGmdWjaL0mDmaueAc9X4/SpEHhupO4JH5fFE8UoxGFWkaHAHmIPoX84l5fSs5I/+IAJ8GAiQ/rvmozm00GlqdwRrZquShbFg4fSKAsS52+BpmxTFJV7eOn4GSf4Rigq6ExOe/Wy8/1BDzEaejNwavg/REMmuSZxn5PEPEpSgVwyIk6mGVyh7uuG1mkTIHwivEcUz/A6SiGIlF9uqotiFvbjUK7WLvpFBAMXDFhdb+xP9Bo7Qenc1XwjK++tpfr+1OdElQg4xIwP7lYW7XYKEn7la/s2ru3phI0QyPgvz86t+89W+s7g1aggfH6Tq4vezpf2289RkX0QmjN1+9N7b3judocz82fNC7XafoEVANEhM8lQDIEyqQDwZGJjSiKbR+9gaC1Z9eQWzkgUL8NJdwD30GjmFToZWHvHa9sozFKSIyOPd+bMgBjq4KG29OCRtR2vq7s2fWFdEooI+AOfXy2VpIlAlfL1A1tla029+Vio1HYiNMLfgktvenIoQxinDlHYU4lyNDcP8YHr5c4+8Ldie3N/dwpLtaoLaKb4gz/dsqBLa0QeZTDlWALD4n+NNeu9hhjkYPIbk9TecHQgqHqsS6x907mGjVlpJs2T1k00hcg6TkcOxdhXvTKad/wfub9gUAEaPcQQA5IJPBtCSA2plq7M6YGPDJRYTTG2CxImz+vCBYXTWF5FkowCo4L5NJbY2wHSGQqjbvr50UadbWbWliQIFGqvIkc9D4ycWTzsrYV5EAUV+EZOd6pFDGZBOtaxiddAIfop+oazQ8Cra/wxa/4jHPgZnXt9Fh/9MWdC6ksx6HaZNvETbQhhV+2tfOJ+Yz3p5VAcUKQVXD2raCeKCkzPo92jEeJrVeVLf3f6Xv63gHrgcQH4qr1SZknp8IzI4Gkgu+t5UHrSEZEiMQozwcjx2Nw/4DwkLyQlPThR8kGxRZVewJXzBn19IGR6popFq6bIMxECqPDjLhjAoj8PxpDvUtwzxfpX/14tCZhfGDv/14tCp/ECKVI+G6hnfkqzzkHe/TA8zBAbkSa9feX5AZeh85b7+5b3PBmuenczLNYeC8YWm1cj3xd/P+G13eyWEvpdAfNFoYeWH8kSiRqnlckvkXGNNrajpeIwrnP6ltwOR8IsqN95oxLSdxAmSnqGvhbIROMwC6NkmLFqD5Je2lN8V2mI4eEksgiic+9mfSJ242f7dflDi0a7VXnC1bh9C4NoViidvdmIJcQnh237ot+famTEbI/9CoeXa3sGaVEiyx3Ii+T9fFCwkBg1PkgtR34Flivd86obBYwwQKvw0kP51DhQzc3nuNaiseFH53DxTfCJ4HWzsBpC8yLUlyTqqLqi+ytW1N7Mx9aHOT24dnawnDjtB0M0zNY906DGqEzAjijYwGaETFeIam9eTi1Hzy7lgcK8D58j9EAb4lEG0oVtqaDQhtliFq53j8jkLiCXm0rywN8GPAsSZ3Y0GRgkwTpejw0UNncsbq5kPYGxNKrJLDLeWld6NAD+bxQwYJKkAzAFxjEGidlHBco0uGGJAtuvJqpEiSh5YmTBprLRwCsS9DHCEU8ffvWQITVN48QKnJKqZDHaL3EMWQ1xIoaO99gMEbbJbIzfHQ4sDjAOYgHqXgRtDJIAkAQSIJQhaV1wVogIeNAIdmDCwJnRG2JyJFiIf0yDSPjqwStAw6ogUaPSf64z3HoalnnT4PhnyMSo3kxHSVOLClHidHk7MzncgD88Jh2CryQxB5erhQwSGSkD2N4dGQSpIK/s66k5+yQAK9GCsqAeirPWc9SAmIkMsjrI+jYKOFbVLVQKfxISG5rjMeyUCJwJA2uf+gS9bdvOfItbUDmS2o0dTaMmLaWMMWDqy2JJQe+03myLEyk4AiCSFJJksg9hAAdbBvB03it0C5jooURWpBItg+5EggEyBItGiUSPrjqaJQ+hOvho6TKNAN7iRI2DjEVpOXVj366oKJ2BWJan3MO3CRnft7PcD08f1y+4eiwnwNcdDvUOGmVOCO1fsLh5suJk3l4vm/1vBQsQILgBOEEy0voqSdq6rvAc4FD443sCGri9MgQEOVPvmtjW49kONM3x2Wa8oxTCMK1c8T1I819Jd/zFHrOjMTwQCLkkBtZlLFPPOrkajO95AxLEoRAIu3dmJZl5ZzNUQ/lej2hmM/jO6MlqMqdz+B+IPTlEyJ+Rj/nP8vxPkIbDzuLNp2b3OmfCUmIv9ckenyWdGl8sgoHkCRbiQoCdZ774SVl9HsULD16Ip0Tn7DJbddL39PuTShGs9TGg1QtS3lvcy6sa4sk397YihZ56VzT+xefoROBeyGiu1mUujgAlxAqQOafXSu33Mju7uIvVOosZe2isbO84Qrct4EWMhR0juegHRST7Mke3upHuPu1yJk/HgQWt6GQrL1RJt4WhRGaP5xhnDn394bPR9S/yNeXOhlBk+DbTy/F5mcaAjgYMyraFSAH+SDSAcdoKGOdtXqYjaUoD1IRb1xlVFRO96KR8BhyvQ5+nniOAhu3rWnzOEl2uaKWtV3Khj3Vz3O4oUMAnwA1yEFaKQlhvp4xSLJ+3pNrZFoHsZr7e2N793DiglENWtOKhzEHdYlae+NgbLenA40zIg5EwkCljOfLLBvard2h5aFzqSUxAJKE2EXFy2fd3RlpDPY7z64V1P73dw5tfzqwr9yZ2TejHel8/Kf3L90ECuOw8BjCQMnL+WphD88dsgIPgySP5ApuxHVVOR8K7MSnEGMTO5zk9gyIP2ykKUL766OLhX1wvBaqwiGJsuDOOLbb49zeO8Pgj/YCHipMATmDMyY9KrgjEGXjTknTnZ2xkoOdSS6uBHLdqM8yFolq5Os7mYzmkOYmoP7C7Zn4KLg5Cy0ax/ZkXqi1twqctghfGsSD70QrASE1pliYKKHlgt4GiQGsfcTmvnl/aL/0YE/3GfQH2XqOCtaaxmqnmb12MLRzkjuIskIuUARmJNoZLe7nqW1i1y6B4yHFTk2GOSQFtOz2MLMlJ2zYKhHEtZRliwInbUS1qzauvYZGDAkxCTPX3Pu9UGGT/OBV8f7xworSaTCwbiFLsqZzj7ZB+Zc8t6HkGdsop5FFywf5eywCVppcaldOOI7kRmPsBHFUZ5FIZ380oc0DN/UDz6XFh2npFE171dN+XHSch3a0k2scnQTUGYxFukaRB0EOexQCV9QJSF1jl9tPT7v0xMG+6vy8Fo4Cifd8X1II+ADDxFUUdTYg2UKlk1GHV7zUTiDYsQcYm/auqUqavOooewWS702egdoItIgyl6gRSJkGEUXMS9aTYDMWH5GQFaXFGLf5BAD9DidrH1mFZD6CbDfaMTK7Q0BNXDGH4Mo5wqO5yB5QsNQ+qPPeIDOa+PHPgzZqEtZy+94g3kjSQJuDZeiDMPohQnr9PWdN7kwchwzOCFU9CQn8JI5JpvZoD0pThSSuoB3nfGH6IHuTW0tLBACn8QkP34lpFDxzuMfdgGt0qBBE4bInmfrfp4Uiwq0X2SPhw5wP/aSneHPJpNSZiGqYQeJ6zqaA6kU2IGXPDXzxPZ+vLy8rz73l2pT8RLgoD5TQGkMIEK4RrhMfK7OydWjsQR5YM2eS0nOQegI0bTfa5BF7yfnQgIqoVdyjef4fXpoIk1aK88W5w6SikG1XDJJowwQm+fw5MvIFvniIaCpQzQCZ4ZSK0AzVMRUbo26oCEKciwqmPbYaMZ3iTTJOtKj3MAyrG7tYRoLL2SxAbRwcVMgHMwh+zEZQMbkAmUeBfVRuHKSvReXGB0BhymqjFklVR3ZQ40jrxkjZRGTl/I6UBTdMcDDaG4kbQaYLP2CAURdjwZjfNa1M55QJ+er5zjgVLAjEThAiqRBM3jX21tFEhN5nxVp/R/Lwax+di/SKlPrZvLLz9db+H+/c0ub+7tNrex/JfMiMYWBNgDz5QL3zDy+X0v3gu1H5c8/uNE7oSe2pFudep73AZtjFPAtBNZAeqcUiVEQwTe2X30jtYsE0CxolW7u9syNlSA4HAvbx0nmZQMRcVxzErrSTomqe2v/+zm3JSDNaSxNozmRF4HgKtIBICfi+IlNSnSYoeuYWXTgeAOgXFR8JgByMOzZ9JHQGmJ6DGNIkwmvA1XheFEUnM0Fi9d3ZQBXm1+/M7PXDsRvjPV2KMMd7yIK9ae21g7EdDFN7L1oo4DMVQ6KjgMAUifzTnBcPU0UI39GjB4hh7dYlCbLzoRnErTWY642cyBbaHVEXWhC7SSTaTBC4SY4hvrqRRBClgb22l2qSCiRIzqKYpUGMbQK7NRlaGGz0XhxYsxxkCm+a2O54/Q+GSVE9JVHhs2htTkBRbGCbcqPvIA5WDO8oslIHuAvO6Igi8cVekSeIHHC9yij+LblLmnBDxn7hZLkV0oe3z3ztEwQfvAnW4yEy6Thk0zpYy+RMyVZP+usgv7qKvO+3v+rFe8ot1wdXSZbTex+68wLSKAk/DIDhoFWLgEDQJxV9MCBRRidomLvpKrUG8KTJnTkmwoDn9AxukFoJIHj98QwQUQslUHhD1jyHl5QIfT3cCWyzwVtmq2dIbOF7kfeCPgY4B/v2Bbo74q5T/Q8imyEJjlZGwXsGdjjMpAoLSZ/rxiMrhBgrtNDdO+6DCNfeWkOeUvJA8Wds/939BAr/QSJKSwm0AX0T9lJVI+/O8zUbslJS/ItyTZbhRE2yRhJAIj4QPwtkEpVcl5z0ndj+WfHsmZRzBPBE/kQgkyjQVhtHrpXnJ1wdENp+DNlzNYZ+3VH48b8pPDk3mfpDa4c9xRmIcjZ+Yzgub+BP+RFob2PzPOHVNSnZdGKT8MRIKDmTGTXnGU9St1+rRenUZJGMmOWKATgno1fDxCFaRCw/xPbUsgwRRUQV191x6jkluT7h6ieDSK407eNRLZIPvIdQzeYPSA5v7aCqDecGaX8Xr77I15cWGRE87is9vAvQdZCz58j5lRCAjvLYynphbRfZ3jCTKBYBAlGys2UtmWjcbRkfZVONEsSZArVGQDN4yDi8orDJQZIECJnVtl+19lRS6EDL6EigGgjPo1J7g8OFhQTnA9t10AYOfD47naQ2k+w27aJUi3vbOLlmWBkjgjoy8JoTh2NQa8YcOBAZcQifVMhAqbQ88mkkbQkIrOJfYF6FEizS6RunUEpFSxBh9LR4o7Zbo4H9n6cLTYG8tufcjCF93gJ5yFCVdPwMqv07M+fw6yrBUGaE6K6skOwO6McWOpB5oWAoo6wYPgzCWonM8opqqWyeAEmFT2B8bW+k50RAZjQ2C+D/0AbobH+S22GTa0ybapkASUuEQM5Ge3yxtcNpat+4s6OfwYiM9QBJlWoeUS4llrifatIosvM1Dq+V7WYDWze1TWO4P7ntjCL7yu2pkiMmUMiFEIBzB1Boh7tjPQdaX46E6LhH+5PMNnVtH56slRAyvUUw47AgMYTBX1Q0aGgDZkJQCIagRsCpr9FiRFFRRmgIuA1sNqA9Vep5MMYM0xL06XDi9FNg6sPloLWVIlOOkB/TEij+qtXonKYx6UMzhrYNCpZwgrZ1aUvu0WSoYMEkz51ZKLdnAtSqqpQs35JxnpOAZ3yb90Jkb1HU0l25nw0FDUPYPpwMJRTHwTevSi8HzpHkRt9no9Cbt4Vai9xH3LTv7o8VSRGFAxVC1p3AIv4CBzR9NmmouKBKFbjexBaN2+fTQiBNCIXRb8fvpa84+8kNtR88xM7ypP3SIygEYX6ecWuSiMt1YyWjF7Q24Z6llVPw7AmpPihgFMeaYOQSDhiJDK0+fgZkEPVgWpWU5gpkPlmQ0q08l0CRKDRqSzKXON/fH9u37u9qwuqjy6U9Qso/RrDOQ/Vqg2CoBik/st0RhRcBGR6Wuw+0T9ctrTPgfgIbU3tO2ZnvuYNBIi3TLdEMFeNGSInIpCQzmUN9ScrgGyjY+XtIJc74MMJ5YZDYvZ2B1iRFDmsORBf11yhI7e4ssQLFZgYBSEvbUIR2pPgpEKdZYA1ZYejIwkMSKs8XIbECdWCyiYJEPlxZKmsBdI0Wm9p+eDK3Lm4cAuIncXq9jX5UFn4dz4l2C+cYrVx8lThraB0tcMoN8Q4ica7UhnTaQy5JU6L6UuuPNTQaQvTlHjnkjlZx2bkpR9DaFg2nfCBxSHRBQMc5L86CQkgNSstJGtv1qlBihTIz2iCcO6RMFESbGN6iQwp73pOmjGKvYZOFNkkx70t1/tFO3xnlskDgvGE9Ho0zJfwUJz8XPfuCXtS3CIUR5IGHn6AMmsT29u5Ekw/oVEBKg3txhyoLH4QVAjmt+rq0Gaa+ouZAJdOnTw88jTHUHpMNI8h/nVTwfunenj2dr+0/f3SpoDzLEUCLtGFVKZSt3ZlmGvMKukieNW8djrVpEJgCBXhjNrSv35rqMxGWOhrlEjiKOwJOJqv4kjHOjfMHubObaYEhzAP3gH4xnz1gfr9s7DtPr93svBHcc1VAOAeja0IAe4xya9OqPXH13GjJjfDRwkGojPHYD06X4jJQLb85y7VBT+j5EhST2AbwFgaJqhWCyh5RQ0gGarMucRHSgKtrbUoupgMcVxM7W5Xa+Iuis2mY2GLlWmZM7Xz78aXT/xAE2tneNFVAwTAMeFmtsoyEkrbDQHySNw5HfkQ5kLEhoOhr+2NV708Xhbg4mOvR9+Xw554oSRCRzTmrvpaPZJj35v5QRosQaN97NhcJDc6NqzY6++qdmQKwgvGmUnJJMgJfZUZQIPHZNPbeSSn/CKEwZaOe7Rt7I3FHUA8FvifxJGnmAL1PxYT3DQRoJNTjyO5MBvb9k4XtTZzLKmkMwYG/+/hirchwOIntEkSmbeRvMd9UQhZeOxypxXJNUt52sgMgAEJWhpexCEM7Xm0FS3PPeFYkmW8cTGxR4Apd2J3ZVO0C/T0u1EVjV0Ft4ySxi7rS9NXhdKg1BLrAGCmcFyVdbaK9x308W5cW4dXUOh0guCBUxiQ4tJxoh1IJokWDoinXQduMa6ftQy+eJGSa55qUOpgM5BxNQIaoDb+DQ3h/mOneQAB37R10fOBiOZ0NHHD5DuyfvSy2Y6pfuAMcHhpHdoGYiQj68HCDQMZouUrsbkxbofEJpufFhPCV4BK5kRrI346r5MS6UEXmOhm9RG8IN9txYrY3GokLwDqvYtomjitGwoFJG+3YHx4vNOl2vSjEJVCi4Mtygix7P4akqv4VHkORuCkYwknRuKRlhwYQo/yOgEmQKspCUueswbf2JnaWFna+XKvPghCg0+FIxDkASTyZM53hovBzQizPI8tUWL2BJ5bQsUC2AazRvdHQ7u/mOk+4jjmF0LKQdsxOmsgPa13iNt7aFSOoao+gRC1pYk3P0EKjFUTSGCWgL6k9mA01fp/nof23jy4dWjrK7GLjZOTFV4FUSpHgibG8dCZnkdBoEn3KmbcPJ3Y6x2dqaxcURQ2IjvOLAuPaHTrUjrOX9+6RGpdaO1SNFiSjvGmQyjqBFjDozSh08u46b5R/M0FGQgJXJrLluhUyRYJVprEd4JlFgimzRPd71B51nVkerxVnSKoOBw4RIuEC1QfxRQsIo1CSm8UaF3I3Ncq5g4EmKxby+s+N8r7AF4fEbp7ZrSkiYs6fBvtssmhQEQ45HVzqowcSpfrwfC3ykvxeJDLWKnOmyrjDRqpxZS3tq7eG0sNg7G++ruzObKRD8dtPrnRYp1Huxj/DTs6PHECcEQT+YZdYENEecnwB9Cw4YHfaTjbtmBjh8ssxgLEei41FiynSNGezVHY4Jqulrx/JIpwFx3RMebWVCqdY14i+IaCFFXvqSJ1UN6AHJBgE07ePxgpkBBtes2wgEa8NfJbYkU0JzqAZr+9l8o5hUoWFTduJe0zQ4cDkYAOefOf2WC0TDi4mSGZpLCIqFRX8gbOy0qagTQRlnaSQBIikBiVYRkwJUkjDczhzf0BWlHSFge0PU9dKG6Y6/Jgm4pmsK0h1zgmYQwYjvo/O1wqCGK0RhEjCugqiX6DvjsMtyAmIDVUC3iwQPX/5tV37Q28dyvSNP3fy9LV9dIFRFpoY7oDnoCIwc+hwUMGl4ZnQHoSnxP0HGepHZxnpRlgOhIZsKJuH1iQKZ3a+Lvw0UCSOT1YzCuieHav56fVWfy/uAG6tk1Tvx3qmgsagjEObKo+2ENcNn+j2dGjv3p7ofr9/shTPhfcnIWEtsbZISL53PFeiprFEcG4j6Mb2tdsH9t7pwl4jQRICUtmjM0zzSmeZLjSIAAXBrrFRzKiwIwoThKMgttsTDlb8cirLysiNzKNwW67F+CdgDrNc7Ti2DcaM8FRY/8j6gzpR7btWQqxEGkI534/qG7G2sibIOiM/iLj7o1QS9VToJJ7wnUiGQDvY71KmHVIpB/bNOzOZV/7gZKniIgGJZEKoJMmGYJ4KScKGQePKcWJvHY2VgBCJ4BWcXxd2wSQGiIwf7yUVJgEhcSwqzNHQCmGKhRYmfDPIqbntTWIF/lAmh5HQOJ4h94Gg9xufnNuzy61TCubaaQflruAg+QWVYGqQlqoCXJoKkRglBNmZUNQPzpZCHrMYGXqHdJBokVy1gUuSmYyThQAW9qAXEQRlxnmdCeI0AfGonAu0l1blXEO/5t7eSAkQySiEWnhi8JcoNniumgRaNSoUZnsgJq2KsFrO2pHaD0VNUgOhHM0hDAjZqySxWxVD2BEkSWO3xkO7t5ur8PiFOzPtnf8C6hG7RHqY4riLbw8JhWt3co9kCIj6b9PZ3ixX4sKfwZVi0pFWMOsU/yLWFNmodEfSSOsZfzC7oYyqEW5PImbfwKcCpYM3xBpjzV3S0gQCq3FnL+0gTyRESKsaRJ4E5M2jsZKanpdCkcsE3CCMVLAejWipVTqbOfOGp7FaOpyJHKO0uBnRf+dwYt95ttD7gNCRJH18vhHKfLksrQZpn5i9RjHyBUvBf6nbNGSDZPNvHIzUf398uRFpC/OhU5RF2QiYsI1Tu7sz9AIxgUh9eZSoXwiRixYGWh5kqZFljgiaOMdTa6nK0f7f2idpKDEtWjXTaaLNwwJ448DZwrvx0dZe2x/aRxdLcVlAboYBB1BoX9mdSESNhXw4RhW0EeETrgJqq+iHvHk0cqZZ/J+IZa09Wzivk7cOnfkbwfHezkgQ7LppJKVOwOZA+s3HCxvniaD2t4+mCoz/9aMLezRfWRomCr4kKyRPb9+a2ifn+J7Q3kjt3u5YyQJwKBoaqLw+2MVwz7WX3jka2funwNEoz+IdgZ5Ga0e7uTxRPuS9OqfzAmzOYfT2IePEQ42kckjRRqLlAtzMdzteFvrzaZ7qOYAWgCjIAAtr+La2k0UleJ0WEhsc7odGAsNQUxGYiH336ZU2K6ZuVBxohsiFeC9XGw0SJ2ZTh7OhSKpwXx5eLHU/eNFbPZhkIsDy39wf+BAkXQfTgap5kjL8IV7fH8nIDE+W04WTXSY4ANGD3pDI9IRiR2mnViHRMsnNc/iQPMhWQEEgVKJJIKUaPF0shG7QauK+k1yQFnJPSNKoOJm2AQl6c39st2dDVac8fw5K2kC0m0AM4PJgDQ+XiHbCa7uxkmrGCEtpnziXXO5tSHIzSuzJx2vBzCIyTzIlqpOWSixWS+XxfGUT+CZjyL9mH50tRYilTVn2kHfX2GsHU3vndmSrVS2BOL4PwZbrBB5HoZgEB6QBUvS2QaLf3TJIyZDyXjtwycb+NNeo+DqgpdPZhMkDnf+tWkAPDsYiWZMQ4z4Munjg+UGsh9k4t1+GXGKOz3S6WNvSGk0F7WWJAgpTbiIQtq71C+p0bxculCNBds3COQijp2I8b6c6O0pjjSejRQMZvgqdyzdwvaaymsqeXWHW2NggrDTpR1OJ3+FceIKtA30KkQHwUILY3Cph5IxbVp0SYBLh3cYlxbhabyuqX7SL3BwtnJcVnBDGuAeJ2q/vnax0XfCQWLu/+fjK3j2a2e1pYo8uMDN0rTB+h3UmN/CdXAaQJ8uNhaUbG59C0qTVsDtSwbGsKWZwlaZqd5NnkKpnOfmLa3utN7V0jR5dkzg6ZS4GCvaHufY6rT6+C3sDd+zJOLGhbHVDJeK0Iig0KOicNUNsRRtbS9BHzTpI5FD9/bOlxMe4fezDvVksdWnel33BOn07H6vo4ywYxqVV0qTCCTmwbpAoIWUsHrNKTYsN3AST6IAhgweRzg0SMIoy0Fj0edgjtEUJ/HXX2LPrjRAMWn2THK6Ts1kgDr11NNLEDirKO+NcE3HIEcBFg7/3bOmSyFHH76WWxIldrza2lLZQYv/HO4c6h0CHQZ/4PNaPOI+rrThMD3Zze/NwLLTu55yRL/BF0KAi5qa/sT9Who377OWmUPVBpYM07vqyVo+eKpc+HnPdECLJ1IdIa7SxguODnaHgMSpMDLpAPYCOObBPISW1jfgS9EvjZKBqvqo5DKgSSChcBQECQ7ZOa4S+OgELwh5W7nkCHNzpkCdocRhz8MPqJxD+4mRm796aqZLmaMTvhO8DAZZq5uu3ZqpMOCBBASZhokO+J84RRAnuVAHr+tJ+4c6O3dsfOUG4kqoldRLjpTNo+8NfOVJF8BDU6GylypAsG/VVoQIdo76FErDZ3lAHFQEPCPCTi6Utisa+dnuqCZRVWdgVZFRl84l4CE+uV6rK781Gqmidaik6L4xkY7Dn2mzYvPN7v3QwluMkz/Y7T68Eo7JhCcpcO4kU1cN3n85tMnJJFy6VV5fMTCJ9TqrTKUFpxp39/gf7CnZK6uZbPSfeG1QD6WSQAyUfcHpYA7tDVWEgXI+vS/09iSyVFqRRprdIOjixSESfXOFu29qidmRRtSrC0J5eIguPCJjT4yDokZhSEfboCp9Ltco1EU9ePxgpsF8XhVo/VPQEGK6davYplWYNEba1Ec+xNT3n66IUn2Y775TQ4KRLgkNr6WDidF/4vrQpHQex0xoHgQGVSDal3ZsOlXxTRVNVzbLMLjdbHXQgDF+9PdO9+eBkYcVpI7IzEDsoBPcIVI7rDGjzHY5cotG29sbO0FYj2hsu6UesD9qCVGFJJnF7RuvEOtsnAhCEBw4ZSYLWnl4WVqDhUDl0arWuBLsXYWJ50IngTdJyMI6VNINQ/bePL+WMzfOVv08MTF7ZH3xzTzD+bz25tCjKLfGqsbhYcz8hbHNvOQvgXEDCRVcF+J3EEzVkkkSXRMKLQujKTdcM8XJxMrEqQuQr41ui+E6Rl9waOxPH7aa0+RrUhqklUEnOIucPBMLL/1brJMVPKXiupMra02gyKs+QmyepppFYg6x9UCTanxQCnItcP7wJSKROkN21jaqmtvOlQ3A4C7kPkB9xtwYGOxql9lDmjKBfLqkHUYCH8e7hWKRN9j5taF1Hjjkm5pZMxDX2eLP0LTg3Os/+g+vG2USywX2iiALJIGjDMULGPmxDW+NsrIIShWSKFDSIeB6BeFg8G7gz3YVrqdCOG4DINZU8ru7v0NLJxP2jhackIk/sl+7s2Xtnc/uNh5e2g0ZU3VmZtLo2J5CGM7ezFrk1QzCMSbCVYoRDBpmkiqQDBdIHejuZZDbcNpJXYG0uhTJjNsgZYPbOwUwJLWjiD54u7MNTdHFbtStBAt/YH2rvI0vxaw/PHQKMvUTRCJ3meYMKPtgfa18z2n8YUeggNMm+jG21LexwmmudgWSCjsFlI8FU+7AXEfqCXl9aZISXPE7IuCVENbadYWWX60T9/U+YmY/ouwfiJYCYyCsB3kUSio/xS3dmajUA4QK5EWzfPXTTHieIY8kKHBO4RIteh0JbW3MBKtDZ4SgVyS8IBpoxR/AIG2c0FPKY8Vw32khiQoV0ezrWVM8OQj0b2NVYwxe6JngVRTlVkGLz8+ol70F5cqpv9CFiR7ClyuSCCOrwOMiOScg4yah+SYr+r8un4lzsoMlRVPa9p1ea+hilVA9uYkc6GJAys0TJ1sPLpWBQKioqbAzRllve21VNoFAw/bm2MfDwyUrJHmx0SL8cTiSDQjEwCks7G7W13Z0OnXDXei5WO8kYBEaQDvnNjFL7hQc74qVwSLBR2VD00UGE6I/yMyBhoFIEBKaSVJHR0skHjqG/rXRQy+DPCLypWm4kI3IiZs2oudzZbzy80PMjoLx7NNV3ooUGqkElRPDgPpLkkFhyjyCYQipm+gokZhiHug4gZ4I8PBMSRKBYzoJvP65sWUGcTWyMRL/UOYHP0ftwMDXJCb/DQXU4yqi77PY000EFg5+WBrD1f314KZSko51CDbosdO1AtgDM0yzVdbEmuH/08BkvpxVH4gbiJ8+iYWS/cHcmaJ1WBeqUbx1MHVG526itRyKO5w/34c40V8sLFVa8fp6cb/T3JA6s7XLOlEAjbhUB4npQOKgaR9QSmWoSJceN+ca9kf3g6dxGEawXswljzxXOzrSsYsvhAXVOE4UAVlaB3osXbRz65xAdXesPIUAmCOCSdEpg2cdCTZjoYbRU7+8mxgjIXDcIPXwyCO1MptG6kcVA0ing0XrhWVww/QD/gemwCkKmI56TxhAomR7jd0E2SLAI+iSyVMLoKmtiA32MkLVaShjRcaESrVm1eoYDG0mFi0LFWVQMk4FFaINAXExIODYWdLWFGePHTptnf5Tb4Zhg7ngOLvCzH9zoL5N5TFbwfEEO4AuFXW0fX2wkdkjieAR/J3J6MVT8u8NQAn4gdMEsUuJCMTQZDHRWsIfYnyCDZpyZzriQAqf3UeLcvFjVEoPMw8SqwLndHiANwOSINIZq8R5Aj7iXIGvBMJSpJ20y1vv/9s6h9jPE/jRyQo6cKzil39sNXIIOkimncScHC9J6H1mF4cC+cW9iXzmaqUW7N0vtVp1Z/CSyTgaabpoMDhBJlnhDUSaUgwQZ5HAdwzmh+AiU2G3aRpopTEqChIC4f1SsVUCwj2MRlGmhOz4NLt6OyE9S4JJA0L3LFuNH53j+YBfkbyvZgcWisCeLrfYK5yxkdM6uN/dHSvY5/55FqOx2NkQBnGKmau1UUgShEEWS2MeXK51FDuf7Yl9f2mQE2Pw3H18qcCB/y0N8dr1WK4XNSw8WKAuBKnrYb+ymz/U8hmGksVj6wpDHfulBI6Y2hxj8BN6TAljTLBUiYk4y/u5ergMajxB6hg5d7bTBePyfnC7lf0K/CMn5ACdMKqckFrpyPD9z2g2XG2XCH5+vpTfBwtkfTuyDs4Xd3c3VcmAB8/lcH3oZBBnaGOMo9twGB/MR4Bkbg7/A+8JDGFS1r1Q6u7/vTJM4bEJwV0ZbA7N7UwiAgdAkqgKqXLPMObdGsT3YGSk54TCjknh8hVJooODJhnj7FoSwrf1/To91SED+A6KnYupGrprgQIf4CNR6ayezB/tDkR4/tIUOiYFXDqS/zeQOwZ6XhJa7zt4/Rsxu7WTuEQCrW/vKrYmCFocARDqN6aVAm6EmPmhlaHrITHorvOcv3NsVqfmDY37HROTjedGXJREg0fj+8bUqCp5fOHFWAfNBKddMOi7AxHBBSIIeXm9VvQWe64H1Op9J4keixWHHoU3AAsonaYHngrcOiMDDs5WShcM9N4HDIUiCAtTMocv9/eiM6hT+AsqY7nPoc6Nxse0au7efScF3ioy+dyEm0CLbT2Lzv719aHcyTCQB/Z0c/qaGj5SKXMy+yGjRzUCmUiE3rKFvP7pWUnKyKJ02A+gFCGPhuB08UyYHHp6t7XJZiWh9b39om2dL++Ry4yaCtqWtmeSCqAlXiOk0+uV1Y08veJ60oFyCBwmSZAF+V7STiUsDwsFUW5XT2gmsWEPidsgPMD1Bf7MlOWGNt3Y539oPTxbau075073HJWgHJOtBbA8vN7Yl+dp2tqwYD6dF5SBwngUtIpIOxrDR5WAfsJ9a3LCFekHsdZb2JM+cOewHjC5fy3IhIKXXr1h6e196+0juJ75gCsJGiqK8aP3CX+I9aeuRIDMnhBAXa5jWncTevBgdCWO3YdLGkbchzZP0cB8RIePZns5hXjIRxIg6Al+gmiaPokbcEYS2HMcjlzZNZDmj+LXjAB0KwVxZGA0sK2s7nTPxRTYVWDKP7P/3wbnd3h3Y1+/QfnXTQz98VmjCiykP+EO9hsh609rWCicsp4kgkAqHFtK4ZO89yCDNurYDiNreJLXzBVZ9TgCNAA+vBhI0KOG6bTRSzl4DUVYh1Tm/JaZUaH1LYyMyu5xnttkFTXLjyLRLHuwNbLUu7GCWWV7wPN3YL4Ec/yq1CINA3wcVI+wkrgo8pEIbaXLNEeEpzDi/+lYrCWgamd3bcc+G596Cipe8Z2fv3JrZYlvYJ5dLnQ04kXNmPrle2lPW2SkFHV5PuAMj9T6Q2jPICoUyMYs9ynejdf7kij8DDTJ7er2WxQbnNcUjz5H17vC1L/YVf5k1RjQ+OHRkxhPY2wqW9FKdot16RQUKLwFSZG732ECdH4PkgXU4xm7tfLFVwEAb4tc+OFOlw6HNQ819lU9AZ6qFrHNb40ALNttqisVNAcRWsjHgMRR4gzDB48Z0v/vsShU8VZfQhmIl1T7JCTeMkq6VeKyKgf3WE5woqeQw8Fso++XnMJ2Da8LUDhUtCdF8mOgApv9IEKPVczxfq1ok+HBAclhTYdCCAloHuTiauokZyLkkQCdXpU1GcAKcuqcMBNUbd1MHBCkOsSeXWyUhoBMkJdx7vp++u04dCIm0Phy2eX83UZ/4HpoY0rtgRDax8dJxKthsx0Vp0WyofjnPFPIt18Zm/86TK7U7QLI4cD6+WOnwpUKl8iWRuT2lZ+1aavwsVRuVBwRH57nCRFVq/6+v3rZffZ3Ez73+y8cXWitcfy9Gh7AWsK24QVGgBIBkxgVTV+UToH7j6bUl8AFaiKQoz4ZSuxXbHS+OEdwPEpZSysBi+5NwjjMFsscXG/FH+P4kKfw+0DoHzmMIx/KOCW2MYZhXk3XjnIldbzf67iS3VIcQXB2U7EZHuX5E/h4R9NeVAjImiHdnQwU5WnoQlanoeX63Jpmq9cfna70nz4B1ATpID76vHkm+WF9UgQQhgrBM8tSO6uzu7sDeO13ayRJZf7dfgJYZMS3kLuz68bRfSFSvNlR5rZVBp0SWypPvTRJIAiwTSAwINdlTq5VD4Gmp/rvAll2lseXji6XjNFin1hMJR+T3FWO/tPOIhv/14YVQLrRsQENA8bgHe0pE6P0nKja+9/jKHuHhNF9LRAzLAQmdadQfh1cnkgdYc7F1ZoGso7uT3L765p795w8uLCL4e5OZQehQC1Aa1vhkmKl4wY14ZxzZ7Ulqj67WbloGx1z0TiDNgqaiK7LCLBNtlc55qjSljavYvv/kygUhyOXTSCRkkjTWP+v+5IqCh2CJUF5gWypnRnWlBB0aDBrcxtM8tvujof3+1/YtiTqR9CkyaLM9u3Zjpklc2yoq9NxpO/AeBE3+komiYk5g5rzDL2VgMyGaTulYQmuMuJJ8ycgR7ZhUKDOTZpBJQQYI6A9KeGEMBbdy5F2sGwVlUEGKExIUUDqm9R4/mYvATlGosWRzQpKsz6fnW7U8zjaFxv85qwn61+tG3CDWIucMZ/m8aFUwcV5QxMLH4vwEuSRpnfrxXVoeTVCr4Pnh6dKraAd2tAMPLbIfHq/sbFHrGi+2cGa2arbTinp6vXQj7Ex/tpGdrbbOfygN7b3jheTq5T6sJeLEO5nC7JF89vDTayd/xplDfOAZUJyCmjcdsgmFjQcTPX+Q85+Lnn1BLwIMi5PWBgcVPXGqTQhnIAX0+bE4p8/PyByB7f12oT4/zHjaA/T3IYvxz69/fKEDl8V4IejfaSeEQSEJcg5WqjwcTukHo5AJ7AbcS+bO9E3l4TUCAlMqR+PE3tyf2cPrhRYOhFOCKp9XIBmtTNJNIABP/qBobfjGrlpLz+Yb+/aTa21YIGikhalWv3prR5uB3jvBnO8AYgFp8d7u0L5y6BboV4529Dn741YcCFotbNJffe1AWfaH50v1Pcm04ThAmTuZ04cM7PV9p8eCZTzwIC0g4EIQDYIridtXjibPM2+It7Q2rjHaC+ntji2AR7HFt4Fet9vAr3MwAw1PMpFHuR40XEiWBHnnkZ4jY8agJFSeHOIkQ5NsIPTmXNyU2rsit/YUTso4l/YISBOoEFBxUyPVXCnY9puS4E4FzIvKnOSAn+FbkGhwQPF8CWZ8z53MoRVc291dtDW2dnK1tU/op1edRZiCePEqDrNffX1fiQYvgvO3dViulKiha/OD5Vz3iPtIcONAWWE0uHSJB5X4N+/t6L7QCgFtOAUuriq72NLKA/9wGgm4BR9GodYmmjZUinB+SPjod0tYDc5Py9RSoYQaFInSGK+kr91lAsMFEBKZJ2cbKaGerjdaWx+eLyyLYjubb+21/Qn1raaruG8aJ0brgwCuVkKo6pnApckGdHuYBCCAMn7p1YfjJLJ7k4GVJCQKCJ2Iq7SY9vJEEzqIvvFsW1QqWrPTRSUYG7uG13ZytQvOr5FbdyqXSYzjcGXh9VYKutLJ8JooPPdZwsQHwmatyNr01FEXlfuuhAS5FtBSPrO1WxH8JFSMt1q7tNSGkJepdBm3hi/GxFbd2OPrlSprRvIhxp+tt9Y+9sKImC52GNsFdnQwsLuzTF5Z0tZIIyF2GK29tT8UGnC82NqECZEscuOnhTtvFlWh70dCF3cu+NFyS621J9e4NOOkbQpA3A/2C5U559cHp2u5L3cB2ibOgM95CuE2S4IHumv29Wkm/ssK40PIlhAk8SWCA+Qzd3gMm4iki3aD2cklwZ5V4QQnWW8QxIXc4boMd7sXDWPktnPnJEpKTOxUyJfjXO0dgklKLxYbu9xsLAvhIiX2n94/F3pC8fTdJ1hitDYeJvbGAftiqykgUCWmJSmAZGAaunYnAfvOEM+u2D44X0irhGQVPhXXRTvn9gSuVmAnq7kM+ZyHD51vUFnX5sPBGA0qDmuSDyXUark4gUH4YCBUTvW4lsnN+aYRaTwEMWlbO7l2gpegKgBm0xkkflM7izZ/UTi+FcqriPnJ1RneI62rGE4VXDPQls5+cDwX/4prEG0gBEmLNKFEO/OHpwsVmhTfX7Tg2ZcWGeGgkeJhFdnxZuuM2oYo9ZFg1Baha5BhyY6gWGPTdWWPCSTFyl4LRpJEfgI3oHKZLERReBVUkLQDOLy6NjDqQzbl3hGkqNA+KCr75GqtA4/thngRQVDuj6Gb+KAqYYpDPhyIC7FJUoTIKluvgYkZU3U60A3oQOU3UtxY/mxh37gzVYChOkXvQNoVlUsK4DiAgFBxAt9z6JD8MPhDD5Lq/EEytru7mV0sAyE9jAnS277DnGPggis8De4XixsI/+40VyZOVQZHAW8SMcnjwE6uybhj9Wbv73JwcV8d+ZLWDiOy/+77x0okdkPG+FIlSPBlkHgn8BDEqIpIIrl39My/eS9X4GVTUv1+fLGU8BoJYXVnZq/tjvQ9QBGAoCWo1rX25GqtgwOy3q9/guHfXKPEuq6EvvzQIVmR2deOZr6N92KbwAOgJUNbAgSG5IAgQBILAtKxlmCzR4GCPYkKiQ8IAfoB6FvkdxP74cm183yhWm9yJQEzQfmtqljgYSoqDiACvaY8qlb3kX4wgfN83slBFrSMIA8pmufJc2cqicOc+4q/D9yiDAMYP0nEYcPz3s1o9TTimvCZzqMjFDF0lDLxsJHKI/cdZVfIqdLRGKZCBUkWgcr5h3sMCZme/nmHGzFmYEubLJyZIfd0QdIZOdVdyKTzdaHvPl9tpTZ8cr2WxgIBSTYbBH2cSQOns8I6IAElcLEOgexJAAnSIRoZXS3rBQoJ9i5JGAv8wlecvUy3hjC9eFnZ0Zff6jtFcGlwtx6ltjfJZf729LpQIturbPbKqu3GrBrDewg1OQU/iQAnQXc4HPwb/RzaPrRG+CLwWdBFWdeWZ07pWO2UlRtNBoWjciegg6PvTgf29fu7FkVzrW3WAEkycD17G28e8dmYakFNdFva5bZ1bcsktUsrbbGibUEbr7OsbO2/rSuNF2Nq+PH1RhNBTFXx3J9drJXcSPQqjW2EpxYTbBn8G+cALfVQtUFAY51eDLL/REnWO/uSJBLHcTlUFxSAhaZQOKsgUkOI57lPU0bzUY3l55zbLsGcri/qsb1LM/e9XnU2nqF/AoqMFQTqyGiMkEQ2tllBgq7tltDvyC5WG3tySaLgOBlMTz4+36pw1Ng101iYGXkHYVrjzaZSUi4XbVoi69K6NJB+FEji++cLnf0Xa0iyjljNfYX3BhcNZWmsJmir0J7BNHJVM2TAOHLg+RmQk/GxCqRddXy1tevSGYmi6cL3lgsweYxUdEs7mqWacoLMrhZ86EjmFAWsH3hQfCXp94rDlAo10rrwCT17DWSHBHA0iiWaOCY5NlMhTtFEIcm5xh7/uQLrFzhJo8CWxLZ7MNB4LkRBgg3iZTC9T4qNtEdIUoDTT669Y2toGkV962AomJvFy+Kjj4tENZsrDCtHgKs7qaSyKJJwpekYHjhS5RvITGEnAS+ybBANNgmHOsGHvjrBEC4FWf7paqNDXxLUQMmw2CV8g+wk/fNCEODXjqY6WOCU8HMQAakQej0PAg5jhOgOoHBK1aBKU/rQQPhK8YWYKDDAaF/SiloJeeG96UmDaGAnzwuUqcsSG4QjHVqQNukD87MQIhkhBkokEHH9kCUJ8iQYBG360bQbPjxZ6mCHGEwAr+qtxOVoW3zv6bUmYYDhkV3/5Qf7Oty4p7QZOOBIvL73eK7RQE1Y7DjPFVROmR6iWgNW/+7xXMgNJON1TDsD2eXY4riwN3ZHeg60plAW/cV7u3rGPAeugYQVXo4mCUKk3neVmDIOyz1nMxOA3r6NT6rZRydrBTUllkkolITAAToEaZP2x9liY2/sj0T4c+0LN7ZIC5E+Pgc33Avg4bMlY7epPb1c2lu3JgpMdQCDv7Th3tCJGFWVm0III01ivXe8tGhT2dFsqGqM9gjaE68d5EpkuH9i1eN9FIf2+u5QiR6fezLfSHRNbRx5orhx0fu7Q/3848u1Ww9XGznsMs58vCglfR4ngfgKUAf4PSq0LQJ6UaRRR1pc9K6fXaMei4Aa680pd4oC1Dpr96IuNaa7l0PCdOqa08zsHDdhLBFCRshDEX0FqW9wSUaEDdXKyj68KF54vvSy2F5unUMcongWVzYYDOxoilkZGjKRnWODgK8TN8crtPLq1Vi5dyA08GGKoNEkDqPJaIdsaRnErdprBCwqUe3dgu8GktbY48ulbytB7u1secqkVuE8VAahLVe12n6gXaASBBauAVTgk/O1PotnXUHUTVp9BoaK3GtSLyb0IIkqeULlGLRJ7C6zxBvzwc+BIEz7VC7kpFGNKaksvBiYUIrghkFfFAndor1N1U/yIsXWAFIpjuMkCP53vbOtEN1NZXHKJBTKvbTHG0vXzfOpn2AQ66yi7YJDNYmP4495J2a0XYpSwo1M2DkfJufMS41WMplTbW0nQ33a+e1QDCCuyITJdefGq9lHrAOC9+4g0jgvomqVVSJqP5VZZSsOHusU0u6H68KOQbRq2nSsacdXYZ2TrDHVB2G7DeEbckYMhVwzbdhhx9CBerA2MGQlBwo0fntVMnKNJDyopUM3aLUhPCddXxV6TnyR78K5pmsV5+SF7D5cF6jBqCOHHUWQWUo8wbxP0hN4KIW23na20MRcbed1YCEomk9qKBwpiH4+TfMFvjhM0XzgxlNhwU2g6gQ+YyqCzf6dx4zyXav6d6NTlWTjiQ8YtJ0uIo1CAbF/+/GV3drJ1Rt3JxZ6GIx5Nfb+6VyHEDbyVE5XawSSCKgkOYGSBYRyONhJKOSvK44JqAh9Pk7P1qAV1RFSxCxiPF7cYt2H1cYChA19Tn8fx5VAhzsICdAwXjv3UGmVdDqMekipsb4PQVZ6CiI/tvbdZ9eaxqA64O/oP8MLIHhzyPAC0qN3zT3hQGcKQVbxH18oaMCV4P3fRl/EJxgok76170TPaEFweIGEsKn4PJAaDiEqatogBHiY9VRoHzxb2HdPFuIToFTLmOavf3xmf+DNfdtUiZAjODmI1RHsmYy4vTu0r/rEjLYNG5JED9KW4HmEh6g0I9AJRlghuwW2xCsnQwBuoHUA94aklKBAG4i1Q2KlvnBZ2e54Y9ttbQ9xTEYUK8CfpbKHJ0vbGWV2utiIfEllXbW1CJegU4wSQk5j4um7T7EdcP4lMqUrgJ8dkRGiJ+Ouacx3cORnYGmSL6rxbg+oHasCHJxjPXemM2hNId8O1+eNw7G+dxC0kmEnmIBq0J5kSgiC31u3RhpPpDK+vN7aD44XCraHs4FGReVB1Lgkl/+GOEt1CrJEVUtw5IDLeiE6SXSHmry6WG7VOuBZk7hSnXH9gTljSoIipFe52nr31aVXsvSCns72HgI5FvadI4YTuKIwlf4KzxNdC9YQCSqJOOZiHNgc7hQRTJgQmJgaca677jygCi3bwPIOJVaCT2ObwDsv4y0Fgda7yvbUvjXPa93Y1tsQEC2vlo3TrMha8RWisHOibHUrpJEf4zvuZqm128KuV66lRIeEKT4+l8CKGipnEugpid7bt8Y2KdBA2tpm26plC6n6cITuTW2X661aZiRpd3YTccrgQtGa2R9H4rhsieweytcJJQVQR/Z0oosOxaMtCMJL+4F7j+yAqu7aBX155iwg6W/03BkRhkNHAr9H4K5oCztOEM+SddB7tYDk9fwN9DmYsBIK5hEwPkfj8kKEzWpvoie/oZTR81jPEiVW+BB6biSYvnXG41wwGACkwOeL22LWJqaEOIo5w5wsrfabyK6RjSOTzgpIMNyWp9ckVK3d38lsnDD1uFCr7uncFT6hDANBtTu7NxuIdwJqzHc6XdCuCmQXcqlWLhOOtLZemCgy3SIXd3RYWEsNCDZoMQmi2dYvMqnNBCZxOOKTEhPcl7EMqCHHdvrufCXk8jl/+G/Ybex7CNH41PAmkPRpg1I0SbcnpP3qssUnFxvnIRWG9vW7059zRr7oF/D/8WKjVkI/nkm1R8CmJw90z8N//3SptgKLi5+bmdntGa6stRIIfojJFFog9OBIOCCK0gqiIudQ18JlE5KUrEu7DmqbNQgCTRTwnojHgRpfaG3lZIJR9nMjhE4XgkOMqptEhpfWK1LPG3w8qEci8RUenq51nRxgbvIGSDCUJ4pGSleVDVeF+tVUZQdTNylE9YsZHpWeZI47epOFyLgDPG8ysh9GHZEmcoc5QYrWBONzwNxAm7wH0yrco1+8v2NfvR2qav76PVjhleNPzB0XgcQCTQcq8MNhKpItZF2ydEbiuJe0Vu6igcDUDiOTVMjwGrz2CT1vCHhPLjciUMJx4fCHgMskEYEYF10JgXnTrEEQWRW1djQaKDkAFaE6lIpl29rhmMkdNz5LkAymbmIAAbYPzkq938Pzlf7+td2xna629sHpQtdFokGP/odnC8uYIkK50Tolhvz3wTRRUGJ0lvVHggUaI6h/W9oodpVK3daSjif54EAlkYC3hLYCwR5oldYKVeksQG5/oHVLu+gXH+zYbz26ElLHe//CnambDGC0NXViR3jywMJ/AtEWjxS1z2oljxxYIHugFhxofC/WOs/4eLG2J5jvQfpkZJzRzgE25Im1Szdlgk4P95NERpNpoOI164ZK0vWkSYAhI54tlhLA6+3mObNBRSQc5VEIp1jqql8SCZIeWj046lHFwVdA6XVQOWIwVTM6IkITcIgdwinJdH8JJM+REVCCCC6Gl9ZG7XicqmfvRiXNDka5nbW1zQt4UC/OD19z6M94tjujWGRRYHaOhQyVz5DJCTRnau0pkMFhHFgVhuKmwa1iPZLcwuvCNl4uxmlgNZNPCQhBY0HjnKAhqs7XWz3Hi+VGe4NrIOngBTJ4gKqxvIUY6Xej35xhMrbzXim8QKmkxpwR4PGXcskF1+q7xwrmJHEkItzL/tyBs1by/3DEQm+J4NhRQMBFg9hNO63WVKGfrEYDUskfxRbBkf/DM6Xp3Yvh2Vht52vWVWx3p5mdwUOivSatGWe+CMeLtRlHENwrXQdLhSQTOyOMD4WsYTWRuPXTe8JwvnI9nGdTPj+GoAt5lbMVBCa0Mdy8yo2Wf3i6sg/OMVmk9efE5ShMUZhF/ZgCAY+ZHU3dMExQqgh9/TDRuDrwDJOIFEQJ7nxyVHdJFYKMnENd3GlqiikzWuxBSGLi5f+9ISFnEh4+rPVHFxBYGeun5R1bntHup6vnRnIREOT+gUazP7BYgIQLX0S8FXJS+GpIF+TOlgKEDZ4epHuS56/d+blR3hf2oqql90+QJ1jRSrheF8om2VC0Jf7j+xdStyMDl+kTASSOBTuDVlCNupFXkAlHUoJVTRYLr4SqjoeNrwqBiwz51pQgWmlRo5QHWxroHyVVXiAjtGSAAHfGid6PkT1+7nKNBHalIM1Bn/RGSUwVlJ2NJizQ1J4tt5oegDz47q2pvXcyd9nwtlQbiiVLm4TvCC9hbzh2M/7LrdoyfJlHV1srGqcSGUaAuk6QiYPr8RzZ8FbVE4cKG5NrkQMy3iPSeAiUXEEgBBKl1w8q8dEZ49OFSII4s357Obe3D8YKtPRsqS7gX1xvti54hZGdXpb2f1dnIl/CseC+067CbfTJ5dq+cXdH0z+oxaJiCLpD1UMCdHrN/dza//H2kSo/Ai+s+df3p2r9PGnWqrDvzDyCsDfWvWIyg0PMJUWtRO36aRs2thjpjdvMvJ8Lbp0CB/eS8UwSTyZTQCxAfi4wJ8wj6RfYrc7ee7bQ37+2O7Q3D0b2w/OVBNfu3crFHeD6QEpI+G7vDAxv22egLEVlvzDZsXzg0B4IeygDI9fPs1YQiUN79/bUotOlAj/qrm/sOw8X2gOQRiE9wiwRKrQtpQWCeiaTYcQL6bFonBUUL1HA4M/fp+1EFY24W7PV5yHE94uR2TG/CzK0dkaHh7PMytIJrtUNvfpaSSW9bgKWJOwH6G3g+e54THnqDNeSyIlrydjMV9fyhJHjMtyBUBbs8Ct60azjK/rkjn91tkDLwmxIkpPAswgsg4yJ4/UAWN5V4p7CpT3D6DPO2pWKZ2DxwMptoQNbpFfPYeiTEUS2+DfUlFKqqCiSukyH9yaQ4lasn5eXTWubBjTH2fDRYmWtcz8I+Kn/biLFNohgjdRqYQ1LmEqFEdU5bSliHfpHBFc4BZGdrtEMQmwPgqVrp9Hw42xKExRTXXKgBMG7edOiRmUViiitKee545yKNWnVH5rey4WN8bzGD7DFgFDN2cY8T6DWk0bCeWAgLg6QsbBCndQlTQiYVV1gcdpZRNsDUreSwvg5WRy9kr3ZQAXR6XyphBM9IJ4A7Ro+gEkqihL8akgKSUDgcoCiwMfhnJBOjewkUnGjaDfzbEjer1ZOZ4PvxZnId5FIWwKRF7L+SrGCQoTWKDwrtIVaBgeazqbjREULZ/AsjuxgyOfQ0m3sabCxsgEtwbkaVMIlAfxsyxi3jATd1NeqpLXGtE9qR4eZppkoUtTq8okzMg8gXySN8KEWZSx0ywn3pUIoKYLRpaEIePNgKJSSKbfffHytcxe9qEjteiT4GR1HmJPCKNEIN7QDtJCEluM6+AW+vpQEVl4EDKoIKj0qIg5sesO0GFZojVxvJDlMAKOVwkOOUG2sCTZA6ZWcVnfySIGQBfPoGkEdTK1C+6RsRGi9vz/SgSO55arSJgWihrMhWXd5kgDB46/iyKo6zLBNT9xoL/wEWgZkwv/9MaxvGPKRTJTGXgIZbwKY3FfbQnwFgSfBSi0bEg5glQ/OVrpO5Knll2WufQHywhTNNeTDotTmktPpAllq12DH74GsnOSEvyMp4XcwCYR3Q7sACJ5/70xiVUCtH2vmQEThEQXO//zxhYywUDJkCoLn8FGIQBsTMAMproJ2fPuRa1PUaJDkELVayyNXQZLsIMz2LTgjHeqmheSr0RDBXOujk5USSz4b7kq3aNVWwq/mziSTLgMB6J2jsRIlCIEERO4V9xrE4NGlOreSSKZyhR8DKRAkhMSBhEg9WZAsnlcQ2J1JLkIhiRZJIoZ38CkYqyZpkjFe5RAzkpP9nJYSgUVdNt0XZ8IW2dw/h6WCrEuGH4NkLJ1PDtwMTRFlsXgnKJ8yesr9Z525SjCwdw4xvYtcktZmaoGBDoDCdGkneWkZ6nWIIDW2N4rVbttWcBdcG2pa1/a1aCLuEwkehxYtPPaCBJ9wz+V6ssz272befwmUwKE281Wl+0tr5aNTEh0nEjbfbDXyjWcOiRyHMe0jiLLInlN5cvA+u3JkXIKjnH21dp0EOc+G1yBkhoaR18I6FDFLOCCxd512fiCMw+7vDm0tIgKj2LXuE7cdJICkhsSTNhTJFYUGvIXL0n0O19fb1fMP6cS6wD9GtoRCGrB1GqJtUnfiTPG5tLKey2vrOwT+dxHpIjlj7NhBP0jVc93SrqA1AS8DLydNphEkIMlyC6XZKpVTjaUyfVSjmcHvw/twIlq6Yhy0SaZ1rlAJu3ZYrx3CpBJFDpA/Vb+SiNAhRs7BGM2izqEa4jo5lIq2ynTktHBiUClQR0TjlCDTkmtsvuz0s7Rh/DSvWsa4DYNktiAiFfofEH1NEgrvHA5di5j7GTD2ndmtiZvw4uK2lZfOh+O3cK7KfCbFoksqcVbn7MxsmkDAdc8NFFbaOkp+uU/wltzQQFVWUpSlQqLIub6mpcZ4bmth50aNWz9RczBOxH9BUwTjSVpbo5TpsY2KlHSZqGAFoSbga71Nh7Y/QeE608TTnEJ1SDvR6YOE8O7Qo5J3T2v3D0eavuN5kJTQgmZ9P71aCsHg1Xa1ZThPhyjo5g7hkjZfJxQc/tCDvTHjNTY9W9iqYA+F2ocUpmwdElkRhFF6nm91tstl/mcQk7+0yYhzO3RsaRIS/g0U9uHJwj7BDK5sBFmS+aMaKiXIzuwwd1ofQLbsrluzobJUKjbY1ufW2UGLQZubTWeWHdhPHhCitTmrdhYBQZFdMiPIUebAN4gje/sQDwdaOBieZU4QC7Ot1UBeCVQzJDgERqpPEpkPTuYiRw2jWAcqAkHAkrQBEBhSv3Hb2rj14jsIranP7bQe4ESMdhMZLTE6SyAfwaaHeZ3EcpnF04bqmVFB7g2HLNUjh+cI+XHaC9vaLhfA9pHV61Lkvb1hJtY4G4Xr5d5S+V51jQ4cSGAkDbSTJG62O1R7hRFGubVClsMllNFGqo9ZJrM6gnpPvKTNQ+JESwEoEq0XuBskcBiXcb3A4vyuCHGMyWnUb2K3Z04kDuSDFg8JAucSwYcgBEoBosShC4pysXAje6wLxoFpxYESAPG/ORzb43MmeGqN3VGRcsjCDzpiage+SdmI18HB7iT/UahNVBmGdWjfP7lWq4wX319eJ2taEa1aE/SlWT8gGO8MMLUi2djabzy6FL8A8vPRmBZOKF7U23tDISK//tFKyTVtA9AJCNlaA2iY7KDImanFwr5gAkKaDjJxjCzqnNfM9/DpQYUUUqmSlsZ+6UEm8i38IRCyr9/ZUWXrbBRqIWIkMItNY8FhKAVY1gLjpZsSg7NQYmTcv7t7A00NUH3S1nCVMIHYtQ7Iq0k4gbdJhPg57hsoHIkNVWzrA63zCUn0/nhugFSRGIMeMY1D0uTim5NKlwQ4JF0Uc+EUeYSJap1kCT8R2iN934hWAPGe88O1ihq10Ljk3YAR01SIB9C/qlymUXxSBbwO8bHuGPclywktxjQvCOy1XQKk8xVizWMICGK0LRx6QFB33Aon7AUyK5n3sLKaQinqbL4t1SqDO7JL0cMk3JC1Wts2TGyWERid0rLjwdW20ai5G6nnfjASShEFf4qTi/t7hXYHhRItkSy2HEJkBAKDhUNn17i/4jWUOqJ2lpJsvSBYcp72OkeI/R3tZHZxvbFzBOfCUHots3ygSUI8enh+yJiTnHNOkZA4Lldhlw0FG1wNeB6sx0ptMa4ZZEPickKuzR6dbXR2wVGjdQXfhnYq3xHp+A1ts5x1RxHqYgFJuR+60TMlgeHRU0xOhwNNGaIDxHkCupUNBkIUdgMn9EfST7Eje4jLhW3rzO7vTVTAXbWl2jX0TCguhhjfUTg1nTUh7WimW0ZKhqclqHVhlSaQXMuMNiaoKecvnDrIzqByOGPzfUlSRGxn8imGTD9TvKi7lV2vEPMDfXTreKJkGjTT+aUdvkk8+rlR3hf2YgF89dZMrRpIehwMVecmRYAtvz+/1kMD+mXem//Dm4bJF+TBCdQEM0oaSW5HDtGAOQ1RkPaAyJAIcLXYpnd2lKfiAHDoskB4jx2MlvJUFQ8BioyW6REWqpOjB3pETwR42RSoqTTZrCQr+McUPhgC+XP4ZfBDBs4jQUmXyhLTWGnduETroqr0Pdhp//2TS1X9tDuokK6QxBfM2qmlBD+B95KCpaZt0ARhHBkzPEeWfesQkz6CWGM/OJlL9IyfoaLiS8AJoFrCKwFEhr6vdA0iuCKJDhD0GOyqtNuT3L75YEciZR+cwssgqXDkMNAGDiMRsLx/BH1SKhT4PqAJz+aFTdZowqRCIOA7sEGptElqjuE7RIFm6vkdAhQvTS1JQZaNjcbAUqJCcDAI1BA2b43Ro3AENDyIQLPWpWtf0SOGTb8c1Raj9RCH9vWdHaFfaEVw4PD3JA6IM6EBwuaH44CuDFArEv/c+zl+NbHZ20cTiy6AjUvLt1T5yGw7VACOwh9860CH5a99fK71iv07z5zvQhL68dlKic1/fnhuPzxemoV+cgq9kq6zZ8tK45W0fBjt4/AjaSPQA53Pt06HwvGrtoKKee8V/jBMIgw53N16fuP+jvdNcmRMqiue+Tfv70rd+PsncztfdoLYOSh5NpsGJ1+CPSgASF2sKvf02dI6FDNDDmnUaEEbWiWYtIxodwLjd+1SBNw5bSMSURJtqR8Hcr+d+nuOKRqGaR9cLPXcGXWGIwD3AGIfQY+kWmO3q9JKJOJDgpwLcCCWBO3rorE0YxLJcZpA1XbHub4/JFfuCrwY6AWsRZCookU5FT0e1xJrFSThJaA/Qj/HJ9O0BCFG+z0fgspseM9WExzixqPmS36G1HscysDy/mH+XOwMdWW1SAsSxdqSCX5KFCCOpA7axTZDrnw1d/uAPUsbVWPqkgXn7HGjrY6HAGIVWhekEibke+GQi3dQLhXYWucWP0hCGkUER5RI8X/xxFQSSSTSByjJmr4Xe4+9Rl1HUsuz4kygdTCIcF3OLUlBuVrbxSB0GolwfcbUWEprBRVoispA34tEkXPHqbu77wAKwmjy7gQyPAWEc9iO8VbaVrZBXG++ld0BHC4LMwVw8gRIwex1kh2umzbYH3gw0yg5e4tntqprV7zU6LjQekxsggoz49yQsEsMHRmLbixaFfb9J3MluNy3qiktz2LJ8Ru+OsSJ0KlJUxTS0jtb4sTNfBPxqbWC7LkEEQl0zQtMB9PYJigpNyYO0ZsHE7VlIYZzzoKuKRFnlDxzGlCBaAScy+674oxM4aMpuT3Q9C/Wl+ZLjYzwouL9lWxfhytB4T99cC4GO1AccD1z/RyOVM1ZOlLF+PrBWAx+Di8CISRNDkHGHpkrJwsGfqRiAzZl7DCJUx1WoBGgGvS6UeljQbJI1cse0SN1s92CgTmYB86nhQ1KUGTSBw2Lk3QrVOIrB1ORjRgJ5rB8ZzKQ5gnlFEkP7QJQEA5xFhrfk+/F++HeyiQQ10EFyabjPRl5JtB/SG9aCrFwJYCa2dLOFI6XDlqvg0FCReBCQZGEioDhWOl49CA8xLiqCyYQS4FvEd4hKO7miRyFQQwwFLuo4K3kSgp/34NdBcEFLTKQJL5/xs+PVWmyqVpNtjBlAN8ntm/d37P9EaOsc5EFgTkJ1ngP8b05/HvzPA7il62yxfhvuWdoYJRCVGgbEWCZiuEe9M/lqHOuswSLr92ZSbVUIm95InY9RFFM4kAqqJ4xxeL7iK2/2FjbBErSUGPFkZNA/nY2cWsI+XZagq3ztJmj+0GChyx2Fth+l9gvvban50Xy++hi41AnZMFJlqSVUqlHDFrAWmTSgYSVipMDG97B/elArUWUPOEn3b2/o4r3P7wf2PsnK60j+uTcLxJe/i5DDCzqdHhzcL65N1L1fTTLnJ3C5VoIANNTEtMaYHU+cXB/GAkxpMUDYW8vca1KWnYgNhUTWotCSTXrCxM0CU4NM1XkiGvRzmMZkvAwLcNaA5ngH1qUgzxSQMflmjVMMbHYtDY+ijzfaCDjtPPrrbVIlePPsm102Gv0ln0McXyAsZpTAx7nmYTckrRQTw20kAT63btjtXZ5pqBfmpKR7oN7T86Besu0XiJYH9QONOpsRbvNtWqAyHuCBQJotHlouW7gaFGtL9bivgiQ4dlWeNA4NdHpKJWT7i/cntpvPrmUkBhhBJ6FU211eieHU5J5+CEje3hZCKbvTdxIUkSspk0QOZ8pkmXWOAgH7VfuI+gnIm+bqhJihrAeyAOkWpkKpoEVZScUQwE/ILAxEh7b8eUaSpBQzt0RJqBmaYCWkGvr0EIZ5ZnOQwQVcUVH0XgaDDTuzv3AKJQ1SuGIfkgXO1l0UCtsFGjxyacJo7wBE34Q0GmxoQXjyNOcOaF/5txvkAgkzbAGYFqGAQSQHIjV44xWnlP2w9vr9t5ILS3OTkj0oGt8n6D1hSOTR7mbIOQ8gkwv/xwEy0Kn8Hq1dkXq/iS3yR5aOxCU1x7doj0JsuNavwizUeSAiqJR9PZsZFecw/CyQG6wgGgcd3E2HMggkvXVBrSVCiH2bMQrkdG93xIHaRDZwSi2dYypnuu7kdSBbkF6xULk56JnP4MXiQQL6+HZUrBa0VJ5us1HpUhbADgP1VWJW00GevhUdWoL+KpB+g+LreBxqiWyboIv1TBQPYsNcicaIyJ/NoF9dX8otjbwLmSrb97b0+GAEiuLgb6+ZMSRUy9KjYDi2kpg5OdRIOVnIR3tMUI634h70ROyGKGkBUBA4nA68AcXoj+b2VAoiCSWZcjkvFtAP94+wjIbHQRnQ9+3cTjsCd7fvL/jUAxgS5HDnBlZHKTOSAzRLiS/EUWCQNYRbJzkNpoV3DOE0jgI+J5UGEC1/MX96VBtiQsmhPLEfvmNPSUAPJM7M+dQC2mNdg7wP6gWnBeeDcGJF/cljqeCVUk+QDRIwpiS4t5BUGbTHl9v3PNklMK37vjM7zy5lqAXBwJV9JtHY7ViSDQgpkE4oyqHBMoUBf1rfpbnwAFEgBG3oA6EvH3lcKr3JRFjrSA6Jvt4uda2tm5atY/gyFDZ3ZsN9Vm8QA0KCGk7TsQKTtAsS3VogBj9+sNztQJJlIaDqXgx75+tbBe56jSQCBOBnfXqOAKddSu4DZHdnQ7URrs1w5MCh17aB4H90n3WoUPlWOOoTXL/ScY5HGldUYHBPSLpwr0G1In7z3olySNo8h24v3xvuQub2Tu3xrq/rO2LZaHDmb3B82S9wJ84abZCv0g2t7QOusaGtDpV7YIgDex04TR4SERGw9iGCJxhYAYsH7QigV/M3aTYMEcwjeCw1VgnUwq0137xtT2hUmfXKKair4ICL67Nte3PcvsK02gXS41kIldPm2W1Hdgoj+2tg5H4OVS5jOy/d4ZFa2erYSWBwK/c23WE8Q16L1tZIdweR3bJZEjnpjE4M+KgtPN1baHGgF2rcFG1dpvnIi8Y+EcIZTU2gdxKi0bPydky/Mqb+yoUEMYjUWQCBVdb9iDPDnE/kkZ0NLhfaT6wgzHP3zujBUwGplbW7HMXpDcJhPNKKDBt0KvNVucUgXqcg2umal3tTwdyFH947vYubZl8ENjeeKixahCM2WhgddVIloAxV3Rf4AtNh4g+oiZsWl+0cjmXGPnnHOYcw1/p3L/HyRzJ+1akTAo1lLAPM3cWcsaBJNyZIMiI8aML9rSqPrpcKdGV4OB0KGSKe0cbnTYIiQpcIdltcGjiYRS4iR1a5vugGCnoH67qTCvyHVJnKncFi4Nr4n2czxUtLorZr9+a6vtpAIJnOICc3dhC6rygg7Q3d7TOKUYTWoPojaCSjH8TqDZxRYKLSCjwjBGrcwgarUQUWHkv8gvaQiBKtAZB6GlnkbSpqNqwQwPFitcOhvYf3ztXooKQmkukXUEMyvnVW5Pn5+EX/fpSIyMEUoIOByikpdcORkI1OLzJlt86GAtdqFFdCjx5aZjaN+7tSKGOFw8dbsPxfCOiGQgEh8xXbk/to9OVKhUWFiTPo2mqHj7BUDLjrYO5mbSBY0GgRpa970E7lr5UR3SIk+yQcRPICQQkO8CABA6Ih107kKw1KAyVN6ZlZNsh3Ac/mUKidDhNBXcCU/PdSTyE7sQkMS6R4cDfKlFxegVUIM5EKrSwboU0PI3cFABy5liG397J7FvdnrgMQN38Di2nMIp0EEGWfQN35Gwg5USqKY1R184o67W9mQI6gQPBtyZthWJwv0ia6NGiJ0LlxrWMs07aDSAQowHtIsYAmeLI7e3DA5d4lI1aL++fzO2ZeBouaSAp4HszNcP79ZUA1yy/lYYDiQqPCaClDgAIjQTkh5cr+/52KUSA58344eNLqhKMsCAwOs0a0Co+H006EluJFgHtAp+iqsrBNkykKSJ/Eq7LB6Vv3J25aqZtbbp0o8zc6/V2oPekev7Os7mqUjgJGGDpWQwSVbhMURHEIOl9co13RWP7E1yOQb9SERrrqlM7kCBMktc/f5Qiv/VgVxUcAZz3l3YM47ujxG7hfTJwhocEkHuzkVAdkmWQRNYUbSQ+k/3R+/dQtYKokeyyV0imXtsfaXSWJB0nWTwy8Nq42iBVjeIrYoROubIoapnDjTPaqSNVw4xRkuxqaiIwjb+S9Dw6W/npgFwKo4iGof3CWDyTQ3BngLFpDZDcvpEhytdJT2clg8ZInwdHJwyYbut0qDNtNmK8R6TRwGqUXiXpnzgpdCZ65oX92ofnSvhI1uCz0OoksKMyvCxCO8RVdZLZYoMp5sZxKkIQns4CjZQH4uEgwPX//UEplIQgiEYQbQESD8a10Z/hmgfxwI7GuVqUkUWa0DobOCNCkk3tc6p8L0fO+C/PdzxANTm133d/R20nCKisdQoT0EfOmI+vnCruutjq/jJ9SJtin/emqDC8qzbaOyiDcq+RCfjBs7lzLMZFG14W3BsCcUE7M1BCwT3n/GJtct8Q5APZ5HkPEiZValX5EElJ7pbbge4l0u58BoUHSYL4eGFgH5+tlSw6qXUsOBp5ZUVxrMSY6RMmvM4XG/FfECN7MBvZWVzIzBJhyAu5uUPMZ0oukO7UrV0c2cfab/fhclQQpBFH28p8bwx/cJwLHWJNgVoyofL6zsi+c3xl7z35/7f35kGSZdV9/819rcraq/fu2QdmmBlgYAQWJsIQQjZhG//sMEEoLAIr5E1y4MAhC2QZ7D8cYCwr5AUj2wpZ/1hGxrawQwJszKLNWMAAghmGWWB6eq/u2isr98z3i8/35q1+9Toza+nqqqyue4impqqyMt+77957zv2e7/meNa1/0s2ZDrIDTfPS1TVzfIL9PqkxJ31JShW0k/UigUFx4wNzajwwCwS/CTpzWzXjjoj8BJJtHYI4AEyPUpXTUUsR6dzQV6htixtKOSqzUuZtj8yaF67RtwzvROBmq0Lp4SNNKQ6dN2uo9s2OdDAiaJfKke4GOpI15r5JWrqjC9A2s2MZdWodnSgIiTg7WdTmjvOTAFSHfitsBkiCJ01tsWOurtU0sciJonxJiiDbnRRqVZ9Pm9paTXwR4FGd7ujGamx7dpw9zaucJDHESTZwEABO9zPFvJkcpVEUvQbsBCeAWVhrygE8OkOZLj1mkConH57SJoY+B/wPSm2BElFXBVHgfQmWODmzcTunzIIgUGN8lJIYQZHSNmS72qkqFcNmPDNZtJ1Z1aSMkll7Yp9LWt4FZF2cFKcG0hWMMwuZ0w2QPJsbm8bxccrQCDCsaBVBG8EfTPVEjYAno3FnXGxgRXtwS7YkWMpkY3Jc47mYOTNR0LXyfOBnEMBx8iSA/MFc2baez6aEWrGI2TxdAMj7npspCq6mwsWNP5nzYjGpVAsnjxevl8VLODFRkCO8uoxuiy2xpXUAgROnQDtuFkomgCJNgzw9zwWOjSxPSoM0IBC2vU+Xs2UjL6arqu4idYDWAY6clAYQcCEVmKqesy37o0yawMdyepCDp9NuVoEBp7f7Z0e02c8Us2YJpc+OfY7R58/Y2QAwoeeBcxvtPg+OhWcnipq33J8LzAkgeCZ8v77U0gmedEZ47jCnCJLgC6xk0OUx1nkAL9ONdZUcN+sFQqtV6S1lCzrZsiZPjeW1EV9YqOh5ZzI02kuYRre5Ib9nDL+fT5uXrpdtMCDRNThKcIySSvUhlAHKBFGRkzqfDSGjUzfmvum8OTFGcAdvqqO2BPQjqdYoKW2aSosUasLEMranCgNybrqgNM8afK5uuo9TNyeOYjqjZnEiGyKLT+XVGBu/1SEaz+JA2koFkT6jqotgEsfH/H7gRMlMlZH2MtojuL/HTpWUogIRI3VLAA9KhLKzJAeyKTOBQBolnC1jRtMpc3w2ryujySMzj1QzwTSVaa9R8El/rYqCJlDT711eUcuH1XJTqp/1FgrU9IOxJHFSq1R+6GCRTpqlVZsqJZi/tESKghQdnA8b5JB+AXGQ0m+9pbYRtG341qUlPXe63KYTGaVX4TBcXmiZBUTGKJdu27QgKT/GnlJtPgsFVjhOpVzWvHB9SdfFvslaZj8kSAYRhsDLXEZbiQBvJp8RckcAAOpBCpPABOSQlgUcDgiQhQpnE+Y4656AodYUAkhARLUj6BkyD1QSsV44pKmqq4HSa8Kcncqr0gkxu8RaVWOW7NAhmz5WVnyMtR6Pc4hJmpNTkFwLQpgprYeQ7tS2GR8FbsmMRWohKVOaLvJu2yB7CWKNCvHx8aSeAcgfyDJ71B+9tCD/xWEUZVnWJO0b2NMISDl0EMAclB3pYEQoQGLzBgr8BQROGSyOjNMDypHtTkxkSrHZQU1m7GbM5HeKnJBV2cCOdyNMJhcb5AwCaQ1bVQDUO4nTLNp8oTZQnZpt/hb5b6pZ7p8Z1eZNt1DKMsk5s/CvltfNVAmyGAqNlHzYtt44ZNJ/8EdOj9MOOmf7yRBolHJqTKX227C1A5wLHIqEnB3mypudMVE5SUR/55Rr4U1oDDlNIxGfICVjpcApz8XZA5deW+P0iiPK6JQdx7ErvWWJrVaUKakxgJ9xbdl2pIXhzoZy3/SoeWB2VM5cML54KDXlmnHekJDZON33zvFhthTZtgHnRMLGS1qF0+s0m0k3YAHZ4nrdfLDkWMTMCtIdgSgMH4Qohg0QVIX7YfMBBYOcSIBybnLEEgKpfqk2tcFZLQ37OVw7SJCQmERMGwFQMvdIpQOoHEEHaJAQrq7zZEOlEoBrJ7glKMUBLKOZAnRO0zD0YXJJaSeM5GjWxymKFvWuXb0lXEKSJVglCD47UdB1cc9s6I7I6xBDbHwkba4t03CvbSaLlC/bQNk9j/CcIR1GB2kqEAiQ+d5xrtzc4TmzFgio4K9QlcC6IZXJ+zHWo/mSAiTWynQpZ06X8lIcFdep1lADPsil9DoCin55gSqJlHn87KTmHK8ppVPSfJiv0DunZaZnRpQq4rBAJ12C47G8LXu3pZlWl+PCUkWcFJ4H66tOY8pSXukbfp9HVwe+i7pBGzMaj5uLC1QnWFlwkEyCNkiAEzjwtq3AIlXDGNI+gcBRSImBg5bXXqJWEK3A3DNZEJ+FAIFnynXAvfnOpWUFCiBnEqWaHVUKFHlv9iTap0EwhvQJ2koDSgJ/xD0Y/vWW1bKAo0WgU2DdqRrNonY8I66BtaleTDHSDVacj/fjwEW/LnrqUEGk8vRSTpwmECbuGydM0Ei6hj3p2kpdJF3SdFSpEN2zp7AvSpSw2jAZunjTuTxBQcGo0igIh5FGCUjzUjZMyXfM8kFYe07BF44IgR1fKUMmBZ2IJ82VxbL2HZ7HdNEWAyRBYOjnA9pTsTL5quKCe9bCCdvyZtBC5sWjJ8ZVDcZeQUoN3oj0kqZS2ktFSDXGnJ4YkeAhL2Gtcwgk2AURdAcbAsOLqyAxDdNqdMx6py3kaWa0oLVLqsqYmHn1sZIOZaRPUNLmNbaE3YpQas9PGXNuNGcq6PbQXoFqtbrtcYawH4QlArZTpYJEOa8uk34MTEWBckPVaY0mUgxwV2xlU6yC/kzcFFIZcXcOgrxqjnow4nrUOASADZQH8cp82dZs14yho8XlpXX18eAEzQaCXDob6CMnx7SRE2TQxwNIkMiYEzE1Hpz4yLta4SFbhYBTsZK+9pTMBCXVgPPge+Bj1P+IyDnRuvydUIYUSElzo0U4Gxe8DiA4NjcIuSxy1BaRaCaNwMmGYIb7g2TIZsB74xRPpfNydlHDUbkx4f6cgw8HLmzsQOxsNjgCnAvwcayMvkFclTmgIt+8sKSAjmAgHq/r/c5N5brKsLa3BMgI78m1QGItpHGqttyaDrATxcmNBeIcGoGG66hLsOOuK+wcXUPEVhkyWLe6I0sCzla6ELxYvRB6v9gqFIf8LJZtX2HKfvl6dqpg5lZqliDcPfGDbKABQvACvPvtS4uqbgKZYU5MFbK20yl9biQVT1leIESq1IFv0TBmGcEhNnm0Yyx5mTFl/IGHuQrumf+GWwRahNPpBAk5O35GgHLfdFHBJydu9HJwWNwnKpzouyCrz+ltlZ4tsbjQIk5+6BDw98wHPofx4znTYI/A+Ma6bWQH54eTHFoXxSzOK37LnOE9pMUBqblgUY0oEU7Kq1SsFazyLnwoHIvKUNNxcyqbF59kokjah9LwjF138ZjekxJGTpn3Txfk1Cot29iM+yffDRfiZdqqr9bVnv3YmJUKhwhK2o2OwGzAx0o24BjLpM0ry1WNDeRg1hQ8DciTpH9IIal1ezphRgPIk02zWGnrpN9Iw7Vqq7yUVcTaTBGsd9N3OGqpYDI+aUsK5Qlz/4wpabxXnRwVYkLw8P2rq6quwNHxDAlCcXD0uyGAIG0DpwLkEWLxK4tLkqHnvS6vVnVadj10EOYD7XlopqRDE7A8gnSkAu/JFpRWQXSMKhye3bdeWRS6CVKZitumeaSe+MpcwHHD7QH9IwiB6wCqRCNK1+U5NmLnQS6ZMflsU6gGpP1CPiU0jBQr1T0EOYzvWgW+BgFT3JwezZv7pkeEEBizaq6t2p5VdL4lAAIN4cDx0tyqqTVyJhYjSKdEOamggT0abRpECDMzRbNUWdZEJB5LEESiOtwOzLXl9Y3DBgEJqT1SFyJqFxAOs6lggq+xkYwaB7IvPX5qzHKqEnFzKsgqbcWeTVDAL0CoIGUTUJEyRT+Ggwt7EHszaWg4by/OV9SqgbWBf1gDKS6DlKb136ekMxS3khFo1WQS5ruXlhWEEuQzPAR7kM7FyaPz/AIaTFY+gPW0uB43j55Im3smIY2XDTtBvV2zz1T3mDDX1pqqAgXTJCVOh+vXn50QQnIQ5FVz1IORqHNj88bZULrFJoijJ8o8nsiJ+8FCLyHnSEtrNupyVemDVxbKkugFEiMlw0kUGP1YNrmJjwDPnf8C6gXu5ADfbLRE6CMC53v0AnBeOGid9hP0W8lp4yrVkiYTrwnF4eTEJqEKlW6JIZsHE/XqjZpJjmYkB4/zv7qyrsV7/1RRG4mV/bYy2vBIwuZOxaQmGBs2FzV6Qi66XJdjpoKCVBKnd4dS8Pp7J0ckxIbD5aQ0kU4r0gbp4LPofZDmOkGhtCFkJPzGosWRsUlRVsfpnsCAQAyEQQSrEHzIeHLd0aCJkzgbb/jEznuu1VIKbICfCRZ5zlBMeTagFWwwLrBxyI/kz9EbQPtFZai2MoQNXqdpEdZsN2U+mxP9hcWK+d61FfPa0+MbG+v1FZpmWccjzQ3UPDv2JElel9PL6rpVJVUDQzhHnKyqTXOBtvNUMNEArpAxC9LtgDOTNGm6f6JJkeUklRMKwjiyca4kbAUNY3Z1qSqnz+y7tlozL87ZCgQQuZVqzKxfXRE/iEqlVol+O0aB4g+ur+kkj1NlDDjxnU3nezbRCs8ZEJ+5papIhWGEJ2xCQPJJc8aAhjXFoUmn47qG8wtl/S0cFbhPKKlyumQtEmikE1lTKdmOrerTUm+bUyWLBnAN6qJK75d8xqTTttKG4I3UGdov0iRh3Gs0qyR1lzanJeBmy2eFJqAp0kZsjpLrwLzq2JgthV6h1JPAIaGAiG7IIFOQAqmlmKjZKirmHM+CAIq1AuLAAYT9AwdE3p/mdsuVmplbodyfwLupPQfC/CtLFRGCSUMlc5yGbfqSa6R6TeqeKxWVvHLaZ6+xYnwjejZrEqADlc1ofnLNpJ65Nu6DucEaHcmSQoWjQyNL9oW4yM+kgngd3B3eg/FDC4gqoLGRdFf4y8oCqHNst5pmKp8wlxogS+iZpEwOTkg3pcohiEbEVC+xNLleugazrE+MWPIqibqVdYIoEAcb0DHfG23E/mragwmIUPdFNo6GgowXawbLphCawyG3tK+gR2O5OEjZc5ADsaFjcNM01jtmCSS1lDUPTxQkTcAex9M/Gct1y+9bZqqUMSdGC2ZunSrBuFLMEspMJ8yZfMo8f33NNExHey1jQtDFWmG/AdmDE3ZtyRJ8Hz09Ye49NiLlZaqOMMrrVQCRJWVn5xxBJc/UtrWweyvoDyXGrBtK10Hfs+WEyXX7E7BXkUpLj8a6/L64efR4SagM90tATQUXDfe4L1KPp0pZK6hGVSEp3UpDPB+eVbTKcD/syAcjYeeG02PhAhFfXFrXSR9HyybI6QMyK8EGp2tVR7St+icbHydCJgQbQbDGSSxpjo1a+BNzMD0IAicdcpJM+KvLFZtPVHt1+hZY5UVY5OQ+IVsSgbMRcXJ+6PiohQGFpAAJphXcsFBW6rYHBoQ8TrsXl2j/TmCA6qcV4uH90h3ryLimDWXICI8GB4LTQCfk/PWy+B0SGTOkgkgPxJXzdU0F1RyMjqpdV096BCSIz4bMSoqAU/sjJ8Z0AuYEQhUO5ElO/4yzdVScMOtWqhl117QlzkYtGjQRmNkKDxvI8P70UGEciaDYQNjgCIRcqsdVt4CGhMeA/+b1BAUOgeErpxNUXh3icP5GWe3lmQtj4qrkFTxxDWzIzCccuRtL/axpJdmZOwQwIDOkXERcjNkyPYIsnMhEgvexQVfFtORsXpxbEfeDTelVY3RJIu1mUy1RbgZkXn6HQ8GBsUmjG8rckIhft9QURzWer4vABoLEmEIoDNZQYbUnKE5TPE+cjgvconOGz0a/I4rwEOxHx5drxPgpFYigIzg/qjYgDXNiZ76BEKxW0F1Ib8w1Kc0CeXcCMzuaN+MoYrba4gMhg06aZbYEX4bOaPY0SZdVUlUEHwT8rG2eCynA104VhXY+/cqS0gTSVam3FRCcX66oFcDJ0YIl0yKGpo6xaD7g+C0XgjmLKvL0WE7XSSAHd0LpP4TD0gRYdTkKrrWQRm/DirARpDImjx6fMHNlW9KNU4OEDkmXNDHCfUstmzqj+d73bqzrvqYQCKOLcgYJdXhPFuXjOi+v1Kz2ShseBH3pCTTXzaXlirkXWYB8Rn254HGcmczr4LBQXjFXlkkpgwmDwKQsAttombNTI7axYFcJl/8GuaGFhbR+aqBmSa1FtGAmsmlzebXSPchYcTqCeJ75ZBHlYMvvUfPNWEwcHx0ApCcJ78ISoCGuwuWAL8H6bdEVWcFFS+je8YxtUkdqZ61m2yoyFhzoSE2tNVumAKq81tS+TsoN1ASCKfsgJfztDmJhMTMO6bVhAw7SayDipO4QaeMa4d5ROi++T9s2qOT5ocZN9Q3jHAQopBkRcrXvdwKhpbx/q5OWMOUN9kSJ4HXMbBH16ZSul63u+Wur5mUaWFbqCsBovgp3aTI/Il7IRCktzSgOJJCfKg3bPJD5yY/4LHzWqamCkP0XrpKGTupAREDaDppmIpc1lRZVZ3Xx4RI5y1shTXwQUvCYD0bCg9HlDPDwgf54UEw0GugRlfLfLDRIcg6CkwBUw55w51UPb3tmwMnglI7j4zUsMnEi6IRFf4JmW7lvcs1id1eoTKEyAoIWSnk2p/rEmXEhHuQPCYQ4aWL0s2FRUfIHOelCdV0bOhvpSLojLQc+14qXxcxENiNI8dkry6rUwAmTOnBOzJ1e3RgIbk3bZoKc7Im0yZkSOLgyYDYKAiUcLOPF92wa5JARHOL0hXOmmzGLkrMAizqV5FRlUxaZpC05dNwNTvYL6xUTrMWkOgsnxKUOwogH36uqJNNNgTXRErD8EBzV09cXdCrDoSH0AxJVqja0mfVK9UTfPxykWrvJL8LpkrLhmpF9fn6uan7YTe2xeQsZat1ENdxY2q82JRUOxAga2PxsDyQ2Xci4NqDhmvhbXkMVBOWcXDInKFAayzfazN9waR2ePz8jNUh5OmgPfzOaRpqdz22KI0UZKamMi4vlLunYBgKcLkk58rDUEVgcqIzGjfFwn+fmDHOFz8T5iU+DwFLrJpIix9gd841rBH0UERK0ghYNLTUxIwiFZ7HaoFQ2J8fF3/7wetm8eH1NgRuVJFyTbZxHUGpLc6/Orep70A1VR42yZuJmtVk3l65b5VsQTnQffji/phQAzwz9GtYmKQ1Ot6fGLTkbrg4kWIJd7hjVXiTNEVBDqlb3jDhWNiE+D9fJoQYHCTJ1HdI4lVjJuPR7cOCQ2x86PmKePDOl6iz2A1APTt6MPc4O7aOX1qrm/uMlBWor1bZ4SPAkKNenoWbS9aZqteXACLhwOjhUECZ4FOVGQ4cW3hfUCPSRa1yt1M2FJZAoW0bO/VrVTkqDrTQAWik0b4NXoi7Njaa4IN84v6C5wnolpcZ+yGeD/lyG29I9SMGJIvgBFSZQZBNgLJnvoIOMv/quoMeBnhPOPh5TOSyBUxtkBQ+NgBidrMuWTM5ruXdI8+i9sCdTMUfakntgfwpoiAgnSu9L7x3EISUkJCdPlRNzFPIvey/Vk6xZkAJSg6xXqiT5mfSkAtKVaYsksBc0m3YfoPS2Qh+uisYRsUSqtgiaqLwhkESHhvkAkgah3e0yzBN0TRYqdQVKBLUowLIr8XrGBu2ZIJ7SNWeR7zekByHfsr+zb9k0/UqzYY4VcwpsCPpoiwFa8ub7Z9SWguAHpP37N1atDkkTvg+BB9o6HaXNjo3afe8gzAcjIdOJOJdWrryYSpnSdFpIBrlRyIkPHxu1cOqIdRS89tsXFtWThoAAeBPGNuVqX39l3hwfoSwVJ0Ijq5iUXXkvHAsoAux7CGXwEpidEAXZIOnrwWZCwMA1gUC4NJJ4J4sVtZwnz90JUuYC6IoEy3JmLD9qstm4uX7JnrDY3NhkULpkk+I63YbnSk/d6RXjc9h0OMU5UihOAzjX8S6kLRKPKXhwlUS8J7AiGy2nZ+bzlZWKHA0SzDhMTqp01+WkwTiwJNnIbEABlBqoygenAtJCuoTrQYzInf6dM6Qkl1Ln5oo9+UMGxQECzIIUkTNHf0IlvFQxdMsVnWPsl+oJB2bRuRFGHDjNsZGdosqj2rLpmFZKm/4fvDgnLgb5bE5+oBqMJdfixhb0QSfYWjdtAjeimNl4zlT5hIMY8U0g4QGnlulPYqFcAoywLgDPxpWb46QIyDgxEUTjKOhVw4ZM8BhHyXSM/DsbM2hR3cRiBMs0a6NXE4hJWlwF+Avq3wSHJDJWbmxerpe1OXOvOFtO93B/CD56jTM8mWcur+hkughZEwdcoaIsZi4ttE02mzQnR7O6FrhPjN/T5xeUTqECgGfwytK6hMZQ5oWfQQ8i0CP0UwgacdxUp3D/N+bq4nF0YqSfMkrZgXayUZP2uHca/gYIWFkcm0S8qiqjyxXmcVKKtzjJ+XLFnBzL6JBAsCVJ8TSERPqqjJjnr60pEPqjl64rWFcfKITVqlZ7hxM0ToHxAflhvyGVxiog8JGTTcSlUcO4ja1ZPRuIkqebea2dOF15VY3RVIoY9ErOpW4dLMENh5BcuqzGk8vrVTOah5uEIKIlWLJeQcXS3YCV9YrgFQEiKRlQMZzijfWWmcq3bXkvaKcQL4iRCXFZsoW4es+wjjmYUL3CPKDdxRNnJ0yteUMcIw5Sqe5h4cpyzWTXaa2RlnP+/o1FCarRZ0miglSUpdNmtMChJK1AmcCI+Z2maWOc1hIZpUPZx0DhaFuApggqyyuVykbpOAEA4pONyRGtB64NuQMqtkDBQZ54HlRV0XmbMWc/K1AhVGloLnOvzEsOiKAg6C7Bd4OnhR4OATLkbXVRrzF+ljD+yvWKUjggLEi6Q9R+eaG8gd4S15+fXxXpGTLq1cWquU41j4QFE6YVcABu6xDFdV81xnyrtqTAWZ131Z3YEtC1NjuBeW5uxZQydGi3ooUzRfwLpcF1BTiI5RFUXVguq/pR/CiEAwMrsmbVs/bffDDS3cAdOZP/5iFz8iLfNgm5EeGskYztBVPMKHhgMhFZKw+tdhWogdCx0zpVIlxOJpAF+Z6Nj41CJa7d1vRE9zhpKSMW0uY1J0fFdkYunsgbCBDYD2fDpGXDfGluTY4KwSUi/dYNmz5Rz4VUwlxYXFM3VlI5rSBpyovrIlbeO1lUSS8wHmgJJzh36sZ5OJTDlcYRaLkSU2mVxGPS6+BMzAbtdCVcCoJJDnKC81HvmRbt7uumCprSbT3OYgJOPD5h0R0pcXYCEdWo50fbgfdi4eFM6a5JyZ9T8+QaaWLnUhrA6Nfm1xWssMmw2bHxr9Csj8BPPaNAZ8ippzd0NJzxrBE+cyRcl76JphWcOUSFuYKTIwjlc4C3OcnzHEmL0ZmYPPt4FlG6rHnizITG0qEX/IOHg9aL4+DYkz2O3QZCLvCRQiWoUhCYiwtl89L8+oYAH5s2QRlO1z0n5gYKqJya+Jkg/FTcvPGeKaFHmtsmZs7FiubZy8u2ikNVXbYCis2W+cEcBxlhvhMMO4QlzCUKj5X6a6QgUafMD+Yb5pkrKyafXjM//shJ3U+Uh8R7cf98PusCjZ0X5myQXCtT6grp0AY6lyANU+WRTEjDRiJWqqKwJEuUQBkvAgDk72lMyL2g3YPDF3LQaYuXEG+gjmp7OzFn0HgoptImk6hZfkIXFaCUH8QEdJTojMPBarMlngaODQf6hnOT5rFT43ZydJslXlpCqAs0pG4uzld1D6Tv4MBwOHjd6QlzcXldyOYP5ityvhAeF9aZh011EuYJLa3TQ6Suz/rqS/M65IBS8f5WnTcQx4C0mBCgdFxcn+tl27W6mMuY6QKtB2KqUKMSL5aAoI+6c2Cur1RUzYSjzlE5hHePIXCXMy83ykKd6HVFYIJKcAYxtGZdaSyCesjMHEgk39/pmLkK+1Egx3cZRKvWFGpCyf3MGF3RbVqUoASyMq0Qam3bzmFutWKuLtfUWRceCCWzpFlOckgLKF9Mmtl2zpBpYn4hkIeeDs+YtXCjaiuR+B/Lh8MfDSZjDQLRggLQat1qJ11eRMCM4K9pUGEngMP9Uub77OUlPW+Ut7lW5g+q180c+19gzi/WFXii58J+RSm9gkzGkWisHZgfLtiDIXOOLuMcQiEl0weJNSZkqG7lEvD5kP2lARtDD6RtMrQaaIDi2MOb0OaOFWnk0ABKglAiCtPo+4DScEicDli/VH9RuVQzi2usq44pg9is0QAvpcMwWigrdO5NxFRxOVV0bQtsewY7F2+S2ffTjnww4giaOFoFIpDMKKPtVg4sdFVPb6zUdGo/OWGZ5kwSkQNRT4zHVMfPe/FQIdVJXr3ZNsfHUmZ5jZMffSCsqBabO6kcYEGCFjZjdBze+sCsoEk2BXUbJQ+q0y2QKxLEdZ0EmfwoV7IhsaG8+vioJhLcBQS6kvGWGP5k5ckfLl5cEsybiheklcI9qvQsH9M1S2Wxi3LgzDkp8g8CIkEH6SaqgggaMMfhQFeCkz2/J23A1H3p2poWGUEZsGCr3TCNRkuqgpxo2YwIpBgPq7ESN+MqTYOI2xbKwn9rM0tZ8SIcP5s5JZgK6Da4K3XV1LOYbJWMTWcA1UI4RVLa9aE5NmLz02HjZA6kKliXJngQaHsQNMPGAmWTBbYWoZS+RqRd4giRJQXrgmJY8TAbcB1brZr76THTXdwKHiClktfuEwSFAx9QlxvVurg6c8s1U8vDus8p+KTFOXlxlduqKsjK/6NPAJpEPrrRSJh6CQiWrsIEH/aUBLS93rIna547AaiC43RSsDTXyabMz8RFCHGJXBDrxoqvnCbRQSEAZy5yAv7GK/OmkDl2y99yT3Cn2KDV9TiAiFkz56bp5gsPxyoZE+C9OF82M4WsqaRaQjK451e1SNGlzEMzI+bc9IgCfwLLBhUwcCcCK65FWSNjW6nb3DzkS64L4jjpBFrKv1BeEzGyBhrVRC04bR44NqK0A44SJPLqKrL0HDQ66v9DJ2FQEkrwCQxxhi/PrwlBRPadUlROo/CBWAsEIuwv55fL5spiXYjpbDKh1A+cDRAGOF2kFXBMHHRIh5RRhSY1SPn1eF7PjPnFWENC5FTOvZ5fWLOK8uwXqBS3KS/H0dVMIZPRXCKwVCC8UNb1INfOnzD+C+WmZMxBAHBcrzSQMSA9EDOT3ZThjdU16SeBZIES1NNp8/y1ZakRI5THtVxBF8NYgbh6p2IePTZqjo9m1GVYJf3dNKQkBto2oKUHjKTL6dQbS5hmp6WDE9ebT6M63NBeeHrClo/TkoN5DBIBGZRWCmhxwCkh3cLcYzdAJBqZBMpcU9mMUsa1lu2gzBgT4MGtoNyboMF28kWKnbYDjH/NnJ6yB032LZ5/OpY0v//i3IYgIfsG6eQfXFvX3OD+7F7WUcPCdj0hf0AAXEsTUJAiZJ8xph5rSS+HICmRgCdmZeuZi/Du4CWhLQSSBipFSnutahWxG1Tg5BpqSsjY0HcHLhEEZPRw4rGEJbmmbMUXF4+U/XylpvQfF6KSbXxLDXG/tJmgU7W4MIP3wDtlRzoYYVJykiQVI5QiCASlIUWcD+JqCZ0IbMRIaaDjDDDBmahMSCJ4pKcpsSNPiqNkE2NzZMNAK0ClbPAC0FDgxJZO6QQ2i14JQmpdPYmZEt0qOxuBAY6MEwvBEPAoJ3ydzBCERTMk6CiwIGjCAVD2ZysvUHWFkQ+JNqugB74IZV2QzIBp2XRc6gAnBMrhtAYwQfKVukoAHSk0nMIQXJqMm8uLtMlms7T5Xq4NxVGcNLlLSgn5uesCTBACTEmwcZJGWJy44NRUUDol5xqoxwrpjqpByrgpR0hpHEgQzsQ294Jk1zArqvRom9lsVtU6YzTtWLGkXZY0qTUCKljp3CMBFPfB9T93dVnICwHRaBoYumHO0X8iQtDsZYwDDgTnw7N5ZYFnYhsSEjzpVJi0ss4ga+HFzX8TKICqOLSE+cH7SHmxG5A4FIVngt4MwltsOPAqICtfXqnYHDsfGrONFM9NFTQ26traMlJ3hdF/rEJoyrO1pddAs2h/cRLidMwJmOBJKrLdgClaaRTlv2z6Hc68aZEJ2xIj0EkM506ABoojOfIknCJSIDR5g05LnxVEz5qSbielwDVSjsk8Zvx4zqQyCNyQwKh1eycBwTPHSOfZedQ2r5oZ1XxxhwkqbVw1URneVYIOqaA4Gc0pUqVs5Py9NFBaNTOWtYE9DhUokeCNZ4MDH81Sapw2ySQpoooc1bFuGkj8sXpbwQoBunRtqg1zfn5NwZDmZjtmK1sQ8EslpRKr0m+qN6o0BrQo7coa2iUQm9GE6ZhGjHLfmoT64PgwX19ebGr82CtI4anbCpUqcbrIkipImBIdl+NUFVnVTk7KBG28Ohm3TdyarZQI7oxDs72q4At0iAAIwmY6bQ8DzK9Fggf+W5VqkEPb5lXHR4QQXVurmLmFikTYzk5llU5kD6NcGPI4yBynfZ4/4mOkUa6Xa2Z+taETPv2OkuyjXS4IqTvmCGTmqakRM3IypcOY5T+0VMlCCTf8He6HtAlrWVVJWVRoc9IzqjQhcGbUxwf+EAE2yBfdp3HUkDrVcRxNmZZFEm+IF2VUnkzV03g2q/n5Rz+4rkCGgBeUDjQNXgh7KT150MMRp4Rx7Tbro/kkCFwukTEtoSE2nXZhyQaap6fyCuIIWniWqTiVmzaNlEumzEg6ZtapvFq1kv+ggfiq9UrLJPK2VBw0hj2U9BNrEQLz8npcpHSUcsVNo4qoEmgvPD1WkB+gJPwaCDbaQ3WLhD1yorStPXCv7UgHI1FRLL5noTGpkfiFBX98Bk5DUukEIGyQCyBb2PJAheSST0/Aom6Ze8lPJpOqkFGb+iRcCiBo2yiO3CfQH06PPgRUCEh6POgIZWEzB868sUpwY8wpqZOm5IxAbhB3wolzqsTvMTHfcG5UHIln51a00T54bNR27A0ImipmdpS+DHT6pJ8Epw5LdiRNwyR2k25uldPVuu5fJYnFTLeJkx0fIn13eg+nA9j4p7uvZZNT35s6lRooA3akdsgJh9M7csvcO3luHAoLl1MBuigsHk5kBCacJlEP5CRP3hktA54NMvg4Ncqty5Wm0B1OzrwHKAdOgM0EVAin7Bwmi0+iTd0UAdfOtZHTBe1hU3l5aV3Oifdis+ylkeEszH/g/e+dGpEiKadcOD+MO0bAw/WSTpIKYpckGyUJM+bcC94kGvRR9vrti0vm4iJy21ZUqVkjP06ePjCjxZxOT5TBstGvVglwusqxrcAcH8/q2SHUxFihaQJixbxEzwPoFwJgDF2dwAqqcde9Ko3CqaPw71yakyAMvgNBACWWOOczhYINeOERrNY2UlOMMydccu2Qi9tBXJsj62Othn6LRc2YJzS/Az5fKtekvXB6Mq9gGmf+/blVEbJJ0c3RfNCk5GCYYyqzbKCZYgNO5i3VAjBsYkXKhrOG3qXk0CGQM+8h/DGHKfHnPVi7ELLVlDGAd9Q0xzKkIm3vpoVKwwrEBTGp21KlA9JKgCwV3xh8BcY1o7w+f0/QDHlZmimrtuEjr7EEdtvNG/0UxhU+w2g2rjEisKOcGLXXTssGB8l4wkxkExIKk6ZGUvxMvR8na74yBy9SJdFuddM6lNfGVAmoKrixhFoowDthrgLjM4ZqTNgwplOmS6wVA8SJUk4MpkIPoE5g5y3B1WqlrfQg+xikY6Tap0YQX7RpzHQ8b75zecVkkhaJA02JQ66ntLxg+3mpp0qSzr1tc32J1A3dggPzqpOzCvAIaF6qgr5aBIP9Z6UGfyVl00m8ccyKKPDs2ePKdfZaKwznDgcEV4xBFs6XtG4SSlHRcZznwGEK1IOUF/e0nrP3hioqXDDGhz2Ja6DqhX0NhIliBBHbSZOmSf/RII9qKqv4TAqRtBoDT+XO9ExRB5HrSm3RrTgh6Xzrcyw3DiVelfAgEZBMiAeiA0Pacs1OjmfN1SU4fW0FYUtlK4BJKS/0gsnxnFAo1svxUkooNuThZ69XzaUbds8iICMwTizGzBvvmfSN8vbbeolisWnplLrO5oOqon0N/Ae1kwlodpcRpEuvi5kU+fq4TrRj3UkyPZozT5yJmSvk4wlxIV+qrXtTkSqfy6ZQ7E44SZR3Fydlm+iAgFbgsLgecr7Aid1Gk1qUwNUjHfQHEOyh7t0iHAQFONepfEaTj8AALsjZ8aKum4iat8GJOE4BjoRFKhXMREyLEGSBkzUQYLj81qWMXEM0HOErixWTS8TU2IpOwARd8/Nl004F4sAIRVFVQkv6KA8Eo+LCIDYksbd6U1AvOgfcPxsAQRMnrXoHHRLbVpsyTDZD22clax5DvVBEMa7fcmGI8M9OoPuA/H5KkGRVolfJDTRHBFQ2YdX2QwBLqDQaESUCg9XqUl+NjF46LASLjB0GoQ0iMc5D6pZjOZHTFACFyJvOsZNyI3Dg2REsRAnF/B1pIPQQuHeun7LGk2NZPV/0DhivTtLeL46fYIpxZ9OkakbcihxEUFsdBTol4Tx9XsfEMzHz6uO25NoFp67qZZAqL8YmDJJnUzRN8/ozE+bZa6ty1IwrHX9x8rw+mpoimD7p2gGM5BRUM++Qw+b0x8n5hZWa0hOIoV8hRVm1ImmMKYEqWg4EGLye+c16Wa6s674RQhMHhs2cKl+ca6VlCjRcNIGCBpA2UlY4Wt6Ha8x1+0itVUD+bEdsXsf4c90EJ8dHeV6o+iZNLbDpI6qTbD8miNM05IsrjfjgsZKCbJ5PNj2i3kwETswhmp3hOOnhQgCPEyL9RE+cZIIKo5bQD7VwAElMJJTKSQSkPHhWOCruPSmOh/Q7MrwGhMTuS2hMgBDQ2K5c7Zh2xgrstToJrYOJ0Yx4GK86VlIJLoeLl6sViZHlhGTFxMGgFDSbgjti5wJK+K1aYF64vKJ9LyWBPw42VY0byNbrzvKMJ1W9gZMHHFTjPoK7tj1QnUXALo0oXc38cL4iIS7mPAdC1hj6IN9+ZdG86jjNLwMFZRww6nWLfiLHXkdQLW7MvbNFbZKgBCCP8P7QdFlYjwnFdIETGjukz0AhbNBJGw8KBCx3bn7Nohw0piONA6fkEcQsYyBbLXHj5teaFNarWo96JJBt9g0+Y7lbdoyKL430ZkdZNxzqmkq1sVeiLULABwdoqWKFLu21od6cNq0qgV1gAgVFFAqANFsNJBC9+yYLIteyp8tnFJHQr0lKgaCU9Bjcr3sn8tqT58qWFA8y9/yVNYvWJmJmOpvTM2FN8BmsoYOwI42MsNFSKcKmAPJg0wFJ1e5fWasowryyWtEC4EQ5msmYRkAlhdGCJS+PU2ZBMEF4oFJRhdQKuSuV1EbP30tWvruBsykxgZj4371Y1qmP92MxwBBXy/d22ywu1rubVmBeNVsSbwOnhcia9ES6xf6g0Di9qdGsNgLq289O5syEQY7aVsSoLT1BiiJpZLBvkhBxHCxUlVDSYGu9pjJL9Vvotuh2KAPm+vmwgSvfS8ADYtCkVTvKoxnz6KmSabduNp9D8vzF66u2Omgir+AHiJIFS4qJtANwOuNEUzC+AhNzooSUxWbnGuSRKyYgo098LpUyE2qdze+Tui42OgikBImctjghPT/XMNOFnDZDCa11Jc1X2vZzgW2BRNnfB2lk9NJhefHaqvBxTn8iOxcz5sHjliPCawgoehE/VSqJrge553ZbnBqVuXa5GBgfLRGiBA6xY26sVE2hlJDCLScsEKQAoT2TFJ+JeXCzzNUSLa3GCcgDBL6KuciGjx5Jl6DKdYb74di1sTkIi1bDgL6BgEAeJnBkg8WoXHrqnkk5I54aYwlCI/Jry6KBLsgBfSGFBkzNae25K8vm/HzVzE7Q86OkwwCVV5RBnyUgqTfNSrmpZ8sYE8ShjMv6g1SJ8wNdYw2qLTooDUqZSOXHSGVYZVgq40hLkGrl2qlKoaNqtVlTa3aCinhszFxardhWAwhdFSiNtadcOvZCYCRdZjqWTMs1sI7hMbG+x01We0dAD5FKQ8+F1BxzksqfE6iLEiihU1JM6znCCSNARGm51bSdZtdB/Dp0H84ogMXBgo4VswWVhC4rvQpRktJYHF3BNkSsNc0FNHBIsUqUL2n5Q/XAPHOV52gPH4iwnSzlTD6VVpDKPiEuLs0yR9JK77Am4InAK1lS2ojDCHM7oesi0L+2XFPlU6Xa0vpTOrDVUUdpKlQK6Krg+ApZVby9srAGL9Xk0qAnNpXLZzJn0nGrSKw+MTQmzCRU7jqHyBw6T+mEuVptqUeX0Kq2RZtGcpCti+pO3W5b5VTQL+YaiEqjaQPwFXgxuaT+hsPD5RXI04j80c6CJqQZ88oNtGxqQkvZh5pomFQtt69CYFa3VVSFdFbpHRAtUvmnumTv9LStziE9rvR8JinNGlBJXstapHcRew/zuJhiTSBKx4HXBryJGOXxLVNLpBRJk14FrV9t2LQTfB7sKs0R44HptCwqyYGMNJIKHwL22cDE0A5JJMyNekN6LpQd4wvYG9VstWIDEQ45vVS598OOdDCCsflDLsRBuvQDGxClgeQRKR9NJKwKI5MVRJbfs+FRMshpnVyh0x2R+mAbKWzb3I6THikPavu7Ss3d3LkV6pIsMN1rVfO/bk50ciJR/YAJQ6UJPUNSSZHbQD/YzJACLqRtQ7lsEkJaRVwXusBCoOL0wrXDKcnEE+qmS4laucoEJ61iBafcCZ/TCcEIBEnSG8iMTxVsuSaTOwzLK7XT5c5IFbLboRXhp3umC4I3yXtT5sgG4yqPsFozv1G54oizOOViZt28PG+bDnL6pO+LmkeRR6bzLBUP3TQap1g2OjZXV8YaT9hTNORcro0Ajk2snqSDptXWWFw3agxHp09O6myAsfW6TjrtcbRhkuLx8IycCmpYI8NZNMXCpkkJLHCoHXM2l7rGMd8NCJSeAbI39qTnECbuhdMQm7lEqeBPdHvf8FqRZUENpC1Db4uW+pg8eXZKGzeBFq9j/iCDzT0BbKCuyueBOIF8MPxBh1JdSNDwFVIi3RHugAZsxZOJokHMffVJScTNIoqyAA+ttnr54FCJozgNKiWYsBUXTn0WdEYBo8QELRHZdZ+GAEyHWZq70QYAPRSQBeBj2100q+7aS6ugV9ZJMcdc1Q3vyVfQJpRcX7qBlgan15gOGXCQWFscBEAfCMpZw9LFiVe7ROamubJao5ZB1R0EyqtVyO0EsWk5K1UOpW0bATZzgloCYf7R5M2lG3TAhOgJ2bTZNmfG8makkNbnQ8B86UbdrFUacv6gQy2ROI25vGiVjlXNpJJOvrd8tLFC1qyvtBWgclh4oUuYJB1HgES1DHNqtYp8fmqDpybVUyD+AlVCKSEu7A+8L+v3zFRS6ODFxTXtM/BgrPAbWkmc6I2E9podi/6u1zo6BLzqeMkcH0tLsRdlYRpS8rmgSelYQgEOeyqoFad7eAtwEzi8sQ8R1KpruNoexFXtQZB3bWVBgoLjRTR52BONSoa5Nrg8cHpYe+N5i5RRiUcXW3oTdVIxc89MQYEEY8bzIhWHrDzkWA4e8GNARuDWkAolPUIKhQCW9zk2kTO1GyjcxtTYLkfKJR0X0vfU5Ij23S+/OG/W6qAtaZVSozHF4YLXPDAzokD4+asr5lKzIh+xVqFvkU3xQFoGwagS/JLCzqaVXyPtB09HKG46bop8btIePNnbC9mYqiRRjE1016+UgylZXq2KGjBdRKcmrTkHGr2YqZtMw+oGgaJOj9DWIKc0IcUEzE8qmF49WzKPn544EPVV7MgHI+EKiWTcihXxAC15DqY0Jx9ytnUzkc/qATe1wePQLMucxcPpx8HPpE5w3EDJ52+sdyXEbbUCjoiTFIvwUqdijo3luycRSmdt8yImIrAaTkglY13GOxOtkyNvSJMnmkDZ5nOctGxHV7QakkrJcGommOG9ceh8HuQtUjoEU5yEwyd8ujjSnInJyT3x2fxOwVUEsncpBnX7LeVMsdaSwBHBmq4/AGa1qFM4zeHk43Hyrqkdv4fchiOAqMtGjiw4nW0LqdSGvLxK4bqoTLicmJ2RzxEJUloktnsvfyt0JRWXvD91+RAQuU5cPciKEz4jlw/acm2luaGCGiVv9tIb4VkyBjhfHD0IFpoNYZiTa5eWRKOteQHSxJxy98L42nujH05dxLzJQk4buEvnYIV0UoGSgjdy1t2qgXunrXKiPqerAcJzJwfOPwXAoATJm7wffgSLHkTGREqLe9mtaFC3J0sSmBzyH1B3SyWrVJUpnamQ0QYiN4N0AjuzKbjFQE04HZKi49lUO02TrBNwpqQ4DCn24nJVJdSr9bQZTdsTH2kg0jRCLZIJVZRQbcQGzakfp0JDvel8SikbiI8EMZzc4V1xCAGxQ3mVFAl9ZTipQp7klC0OC05V3CqaY44IYaGKDcVSAizWNvNtrJDRvGEOfPvSgllbaSlAVZqXIABV3kJKJGqCbj6fAwLpFoIaet1woIE6BMFRwXC7rdTlwychsEOeJS1k1CeINUTql/nMesOZMuoKPpOBTrjwNUAXKKUFHYHjxr9kPGkuLa+ZG2UqNOgTBJxvhQlnavTf4sSPNk7LLEPiDVomk0DentLamBnL0qcKZ2lJ5S9INZdS1o6aEoItQgKmKzKIACkn0kwgC9J1WVw30yO0MKCDbEZ9WUBhQGifubwsCQOE76YT7IXoszRMabyggDWdsj1kTk2MK8i+ulgTp2IGFKfLayG9AvKjlhPSjrLyAkpRxzig8B5NHc4ICkiXEARTQgt/jTQvc430eEdcJpx7SgeZB6dL5sl7x20Ps5W6OX8jUJDHtVFmfKqU13OxaqsdXQvPGqSwHbQ1zvD+0JRizx0Rckzq2LYhYB+kISEpYxCkDvt4g+abTT3DmYztF4Q+FYc5CR5mqZKxEghpepTlM1rbpOcgeaPFQiFCvW39mlJqHHgAlzMdKeyqMWsp03cP2A/zwcgtMDQlgU1btYLiHeQ7iZVRytrQpkTu1QUelAeSw4WbwIbKxo5ioSN4ctI5WcrrwTsVUiYdAQEuiyCG94dTce9MXt0iESPipAnpENIiOeV7ZvJy2k711eXpQQSOl4rKaaKex7VMlijZstUa0usgp06N+Uh2oy9Nr+oITnU427D73axCai2sYEqA872ryzoJ4mzHJtI6zVNSHI2wo8qn4TJWScuL/W4XWNi5hrvxumuOxdrqcuvQBAK/cPfeybGucBsnFrUFt4gM/pcAhc/hOvgcnivfsykTuGG9ZOKj98EzgngMVM3Jh02Gq3/NCbtZMT8IclRVI70TSIkdCUvxs5vjT+fdlKmlbE8kiL7hdE54zHjPl66vKa3oNEqc4FE4FcRGJTE9YNzlqgIkkDgUVwlESN+BXNw3VdS9DtJXiaJBfLVrpiO0gPSEqwhS11iREW9FQpgfrvmfe868N597baWiwK4YT5pYA3l42yOIq4Ho+tzVVVMmVXB1RakgTrfkuzndO+RmYa0h4ijO73gJgmbTTBRswEjA0BgNNFak/nBOpCQVYCVpxWBP7ASsdNQGnYPfQgk+DpsTO/o4lxar5kazZgUOIf12Ah1KSDMRVBEgtduUjSZt5QZ8ng5dga1kN4HI+RtUoFl9C2B85igOEWcHLwPHKOIsys6kI3IZMzYK2pBUEF3IBKbcgABpq40I4IHd6XeC8BidpknZgThJTbXZMQ+fKJlzk0UhvVx7KQ+XB4cUk54Ka+s5emTVLVcOIm8nnzaTRXvI4fRMiiHejJlsAT6LnVcE2jo8ZVHupXrKVtKRgmYOkhJjbyMoWV1vCN0grauDQhL+CY1BCRLrUmqlSooS3dNjEJJrQi5BCig51c4ZBKqQI3AjiCscs93M0R/hmYKK4tjPTKCTY9WKIU4TmKgxXCKv+Q5XCYE85iFBPesD9JlnxXVzaKPSkSCYz5wu0EeL0ld7cGUdElhrL4lZQjZpV+QfSKMxlzikMvb8bqJozEtzZYm9QRYN0IiCcJtKWiS6SPWSbbnAPqS9N2FMIVfQ2BfLaCXx2XGR5aW7VLcpMZAlEETUqleqdi0WEik1eXz89LiukTShUqx8djeFyecX0nmhWwQiUe2g/TYfjERgaE4zbPIQTHlolEU6J25buNu+Je7ETHUAm9YZSipV5WAjeUfwVN5XEyytfD2v5e+lrFhIawPHSbGxMZn42uieiCgrtqmchPrcuFwefQNwrDhDdQdVgzLbqdOmFyySgGPjszj1sXiA9h33w1VtOEVRggn1WCmktjUpXZDC+7zm5LicrlIc3fftB/X1Cm56/RwkCUfRC5VxgR7PiUUJIkIg4hxdWFzMBphJQcQ4fMYFlIj3YJHjxPme5xIPOfFoB+Be14vh0Dklr1Sp4rBcBdJijDfO6Yc3CCw7qmayQQdpoluVblNdZIhAJKzjoSqVLvcEC5eiuz5BGoi4zYeH/9b9nZNq5zM57QPh43RHUjbnrxN5SDMkLNvuxtHNFYJbgi7SXyg8EtyxPhgOTu845kFICPPCzq+bhF7Gn00ZZwcypCaJ2YzunZQCFT7M62evLJlvXVqyPaTgajBdAotKqbqAvH2HHje2TwwEaae9AjmcuUI6Vgq/XUI26RKqoXAQEL9VCTJKwEL34Iqq0kDq6GuGU5tbqZiRfFrziMMHqQW4E6ibJpuIlTXlNF59vCQJfo2fSZq1OoeVmppGUjHH+0pYCxQP+XskAZgDpDC7Dmx5vaZTMz1UQDrgTJAuIVVXq3ckCT9ZGNFhQ+J42Y45OVYQuRF+Cygpc440HsigW5N8DvsGjhgUiBQyqV7WLyJsT1+oqpook7F6ONmE3QPRqFAaIp8TLwYHXe2W0MMp0fziZ8A7QWBee3rCPHqiJMLk0xcXTV3VHjadqOC4QnM3ulA3TDVlq49IX4OwjjLGFcYk1hW1y3UJl3EFWq5vlFMrdsgeQed4jpRtQfOYNYj2EnMOsjrpDAXAEwTNGQXSdNxt1DtK5dwzUdQcPr+0LnGymbGsWez2W6IqiEBXe4raQthiBiAJ0lGZkl1Poy10RAKhQZelqo1CLBRscYLN7Dj9xho6TCG9wBoaL6YUMJCqRCuHoFbcJX1uTm0QQL8JWPlM/AzjT9n7hcWqDoCsr1RStKeuejWtO6zyNsEVr5H+T/cgq5ZAHMJGUj21g/bbjnQw4jZd20zqJgzNZAQuw5gMBCLhHHe4b0uYWImIGAEL0KJN31g+hZqjkRvuvtY9eNyZ+mF0qxPEUJeWQffURyOmAk2yLEQabmrnUksu9RF1uO5UzyLF+HxQGE7SLDB+5074RONcTNSZbXdScq/3pEe27PWyU+uHyhAscF+cAhk3iQ91c/dhEma0I7M7kTtCKRsiG38i3jYTIT6Hc8CDTFU0KzWdNJ0qbSFtUy48F/cZnFo4DUtXo0OqpG3yyzd1O1yn4V4S8AqS6X3RlcInzRctRedUzAabz/TWAHGBxKVWRUgGm9hDsyNK73Gi43odksLnMad7Sb67XjJ0ErYN/JIqCbR5+7TGkr+xJ8bYLUiIu5ao6i2B+PeuLCsVw9/yXvAidCqkqqWbymFaUR55eqoonhJriSfE69lUOfWywS9U4azQkLKhtOpDM6PmnukR8R0okyRw5b0YC5WGtql+IyWTEVLy3OUVqeheX63ohAoZ+2VEEdcqZmaEZmqWc8IBQxVB6aQI32cnqHKA42HLYCEGkwrllA43gFM+QQJrFAc+jsZJnL2no+oX0AyckBrPVWncFpgnzo6b15yYEOlauhFSYyZ4JDixna/Vo4cqFZVVxwXNS5OHIr6EFQljj2Bv4T25d9YPyA/7Gqlh+A5qulfMSERR66Bb+h43tJOwe5YVSIspNQVPg7mdhxOD2nJX/A9S54MnSkoNkUaGKIpoGfObFve8D86Reae+Mjpw2PQcwShRNelohOfgYDBnQHS4Jj4PAunNTujxnu0r3N4XXoOgCAS20mYyHTn9epN1aT+D4OzkRME8fLIkRBoknCCAEnh8ASjWvdMjOqyBgjMWpFyosqp234egWYUL7P3wQHIFE4/dEJcDZJobAummgSCBV7Nmx411PT1KoGO7LEsArhPT+/F61g8NOuHT8ezRVSE1R4qJeXa/sVpE/ANdgbz6yMkx7esEx/gEkCW3ljmg9ms70Ss1vV92ZIORcHUAC5qFGn4oRJHRk6vbGB1fwDbhym7agF3Aws84PawvtSRLzukProf0JLL297xnWOQKs6dKK7DGBsJmzaRi0kQ1KPo53PDGz7Xy3w65ce/rzAU1rrpmt5Nyu71eoqfu3RjXqs0pNO69rrfXZxEkucDTchoSVlOgZauktnPfblxJvZBa4oTDqdmVA0uxtPsZbFbAzmqUlaVSCrKZ7QrKdUsJtYtAhbkoOBc2faePwrO72qjqdZy6cIAEAtIDicfN8dKoTpRRDRBnbPygc6A3EB0hbzo9EcYRFJDTsLhPXaSIz+RkySmLOeOCOcbMBe1s4mzaDrqO6pBEETLeE3RAaR1ElqpNderlJM86hMDH2nv42KTKGx3CxHWDCCH4ha4EkAjPi1My6AHXDVJAGoWAjfcjQHnoeEmBiBCikq1ssqRWTpB0k+3Kqcep8ICrkDCvPlYyF5crQgFU5QbsnSYVSFVFUgcMEINO0nKUgB5BVTjZgjLiIEZcGoEWAazLOIFex5RzLSvRLy5KTMqcj5ws6aQKUZLnfnqsaO6dspwm12UadVeEwkBMcbAgYjhm25YBtMxWmjAPCeToOUKayOnluHXJ2KivrcS1cFz2GfKeaGhcXV6XThLkYFAWdcwVuTRhHpgaNblkxayuN83LzTU9J4i0EI2p+rlebgjul7PDW3a5TjhbUAc4QaRCmHNMTYI3TvqZREXaJjhjxCIJZCAWO/EtAjHejfVFwBi+H7fPuKDerfXwOg+vQQi8SM9//cKSeBj3TRaV9qDSBydOew+bxg7MspBOVK4RQyxq/oNQSBqhqyKrbrgEem3SLHa9uf2IVOKT5ybMs5dXxBUiqIl3YhJuK4Jcz46Ik+Q4fSmaVpbo6YQ0vEVqWFtq/1Gh2WFKY2vVYK1MQTJhkTVSiRBmmS88U4jkauqrrt5tM5K5uRbDh7x+2kEHYUcyGOmlFcFkh/QWfijuRBh1aNEcfvRhYm6hnOyWcPK38EuoBHDcErgn0Q6oYafExkEgwkSNalD07y7bn3gIctML8Yg6wt1Oyl7jGtbMcA3cwi3vd0OY2s719guKNvMfbLMqNhU2TxfsbXXf0XE9O4XgU1NpN7fg+QyQMU7H9SapPUuy5eQTRsfCzyMcWLJhU+7JRse14YA5ZcOE5/RM+seW1KJjklIgEkUhws+EoAYEoFxLyOERYPAaNrnnr9pup4wjCBpTkuunm6lk/mMQIm1AEuWOEHy7gLofJyg8P2w1lCW4Srl2cV0/J9URh0AuTRpOz3Yc3XwCKQRdIDChPwqwjsi8tGFoQgisqm8TufDjUzYlQeBDl2qIgq4xGe8lOXw5RaS+rdCh6J9tCNl5XRvBBAEGyAXtDLI0f+RUT1mHAhmj6h7K90vFpLm4UNE1YKxtuDMEQQQiXPNqLW6KGWB96zwIJHA+BDYEIgQ8pAiEEnSfj5tL7pki9kYAiqNlzNQYMg6BG1IzSJlNs/A8ILU71BCkVulYBMviVjuIZ4eTxvExj3gd/WIIzm6sgSpltB/Cn0EwC6QEXgvCYBCwWctU+jxyvCSS8eNnJ83nvntZ72tVpi2/hTklroZyky2tNRA5UtKgwk7IDNIxpEuqUEjdPHi81HW8NrBwqLBDeLT24czBgeumW8P7olvn4TVYTGf0OSBJlNc2m3EFxnBDxKGCn4YAYD6rlEhjgYaelgzO2Dx9flFjS5Akqfau0BnP8eHjozqcOrFA9mzShRx5GA8Qi1NjRRHzQaMIvOBv2YMPa5PUcFxzB4SPYATJAKkJNxnTtEq2mdMEdDzfWpPrshVYoGvivLE+my2zsFgXKgUaRLUfgUov7aSt1ux+2pEMRqLOxDkFhKVcnn2zJPdmhxn+Wb+HGW1Rz4YURiiYZED8vRzzXqVPehEP+53892JS9htXNi5Ic/A82PhwmhDr2FB6OdDt2KDrHRQURQMZAgNg4PCpaqfjCnoFZ4X3JCUTFjVT+iwLgdLC9lshOja1hhO2XYlbK7bcEF4Q14roFT6KknLSVPkQ/yGapoo+ExxjuN8Mk4vnwsbHRsqpGtb9DxbKZopUSdzyLPD9bvy2CgL7BcbuWjiRExzgVKsBarlxU1lp6SQnkb6WRRYYE3ftOvGTrmJj7qb/EKNiXn3p+9dESrUkTAvlqz095bR0re4qCBN0fWt+UYEcY/TD+bIcrBwNKRdpidjupup+S/k9xN4ynVA7ZrXclMptPpkwk+NpU6C0dL1h5iFg1pvm2gptE3Iin4K0PXdt2bzh3JTQDxAp3h9Hz3/jmGmypuqGfEYEahAfTrwQG0FsHNU9PN+YzwQz9Mmq0U13rS7iLc+B93ES/jxLgiX2HMaPdBQcOD4fdACU4EQpL1RDBHcCvA7l7y0JzjFe16kUWSibR0+Om6mxnBAZ9chJBibVtHMWng2VLOxllPX/f68/Y753ZcX298omzP3TowrICGghuVNCLd2iGChRY0N4EXQHHo9Fy1pd8r7lNTC/mLfMD3ewAGkhMAfZcBUyIBPhfTG8zt0aBAkKOhWhLqoyTCT03NCyOTWeUwM8rgX+G+ghvB/4SBLEW7IIM58tMUPEK2MxrUPQCLfuwukPNaDLxIU4gewhG3/f1Ji5nK9acUUOGI2WWhZMIA4ZtG3FF6nSLjFY1S/0OuoGLiBdVN0xZ1nTBDaOiA+KBWLK2PBerzs9qb3D8ctIjXJdUU7coDW7n3Ykg5F+Tnor0mI/iz7MaHogDBnK8WQt8TUIkVmjiMdepE92injc7qTsNa6uCZ9KoumjU7HS5xDi2AzgULB4d4OUbBcRGoRA7CbwCo+rI//2Qq968VVcJVS/5xFNAb18vWwuL9WtimOISA1J0lZnBQPnhXsm6p3SbMkhcCrEgZukDQ5g6NP3QmPXshwq9C84rbGZMV5Oc+V2xi7sVEnxgNLgSBDMYsOGMgCXAd0bG6DaiiOCd/L4OCR1Zu2eRtWuQKq+aRN0aDkfN5UygQ0cBRvEQdijRFIaK6iL0t2X0t7Vuqo6Tk0VBbvTbO1BeseAjkKcTSPUh24Kipz0ELGn78dPjgnFALqnGgMOxyiN8tqBnAsoEs4ktkr5/spGSTr3gVAdASnzgI7UjRYKy4iltc03zi90eTdo9GSUYnEOzs03FGPpYQJhVXIAQUx8ElAcyYd3g0qXXnZICM7p2avLChIoQ72xRrdk+hrFhQgQdLw8XzFr1YYqvWZHLBcC6fmRfMLcOzuiYOeFuRW1OoC7QCCiPixUBK5bWQOcHMEWY+U4cM60zzWp/rAtA1AdHV9YM686PmbXkrFIMH8bXktCwrptv11VlojUNNrktejQUElGl15j+Xf9Uti8N+XKdNtmTEnNEvwdLxXMa06N6/fPXV1RkO8qKlmvEFgZV4K0C8sVBVJwQHh/pQSTN9cw+wvvw5gzH+CVgXiYDp15jZljDgv9MmYyb3uekc4JYh2l5752fl7VbnBFWJeMNcG55YZ1BTdHs1LWpgyZz+Le4E69vLCi+VrKJcxYmjlQM9lMXnMPBJM9ggOhI/uG+Wq7ORDutR3JYGSv0hK9rFd6IApvh4mvgxCPvbjO/YThel2va8In/gslgpAt6R4JTN4JzINpTha9U1C75ZdsBxHqF8hs9zOj6JVtEmjzuM5x2+DWfoarIGHz4qTKOHGiin5GOJDCMQG/Ypyg+N3aukWa2KzXq8DeSGrbjSWa8nP3yTOgUytjTwk044+zko5Nl6iNYBWaHegp3DdRlAgfaSfmqcq2pU8Rv62xC88PpzVToJkj5bbjGSmbA12DXoRfD/mWfk3MmdUKwnc1cUJE/Mtn1MV3LlmTKjEy2DgRVFtBWggacArPz62JIJm9sS4nrKaTaFHQDwQxsaxVUr1vtijFX+YPGzRBElVO8Ap4fqALD1BDH7PPkJQHjdyoaGCcCK5BfRg7yjhxwARYoAcECw8do5FfR2qgpAvalY7ek5JWAgqRsVuIjS2bx06PywFjTuvEORUQVYiOycCYH6zW1LTRORgeEykjkC51GW4F6rcFNwY0CIIvJad/cmlZaA/jQJUVAdvz11bNa06WVLGBMux9UwhCFvSeoCQ46uevljX+TsGXoNDtXVxnlCckJAuF2tWGyKuMM4EX6QOcqdJKPZBgyvdR+CX9JCn9LleMYJyxIsWGs2+btpXUpzqnqygcnnOO6MrnvPrkmEEdBuSHwAkJgnsmi/ps0ujMkcdOj0nt2vbxiZtUV52Y1AyoBKRnnjVpD55DdN/mXgmWQCm4H8sBBKGjW3VVgThVOQSuzH+HzI7mkxpTPgcdFwIiVrQLhLg2xoUS4++tLmsu8F4EJYs3ViVaR5oL8TzWEGgqRO18hsA4KXSR9cyz41nTEJHnSRUmwaY+f5ep872wXdFmP/GJT5hz586ZbDZrnnrqKfO1r32t72v/w3/4D+Ytb3mLGR8f17+3v/3tA1+/X+acCbk3vm71AFwPF74Oeo1LD7DonMgUprIrcpgR4qvtyslEHZw+2e519jIHh+5H1Bu9XiuaFpgLajxm249DXGSBApG7fijW+drxwNypiAXDV6dtsR1zTsyN93aDuJ1+pkOvWOH0muDv+KoW5d2TGP/t5oU4M7WG8tbPz630fP9wKS6aCWgoUDrMPfD+bMScHNl0lSPu9jEiuOh13S7IgzhL3ppyV8rVGWs2YDYsnHfQCkREfGBqxLRjnM6zIukpBx6zBMFB47fV2Ln1g6Ny84OTNM99epTmXUYaG6AXkCcdKsDveXYgFROFrEmnaIKGM7BImxzSctX2RyIgbBvz8tKqlCbZ5AniXrxeVrM9TqjfvrRovvL8DSuAV8zK0cm5UR3S6pha3XIxuEaeIUqjnIKpfpgoZlVhYjUyEgpEKA1druNUbXUNxFIcxwSduum1gwpmtSU5c3Q8cJi8LxoszAdm+5xKR+k/gzJuSidn0n2gF26/saq3Vdu9m5JPFI3rzBEb2OFUOHnjUJEy/5OLSwrSXKuFi0vr6rdCM0m6A/NaOr2eX1zfqMojUKIEmi7kBC4PHxvvvqed26RO7p0aNa89O67xoXcMXXmlcdMKBu6T3BvziWtmvTAPQU2ja8khwbwHxHDpoORonmjbADAOUkgmGEEVVrLuKWmhfP/KioKX6PwPz0vm3xOnJ8xbHpwxP/7ISXFeuC/GFMetVFHNioOJ+wMnixYDjab2Lq55spC08gB0OJdmR3zTffOZoJCMCSgdAf9xuISBlQKgKmq1Vtc8QWfm4nJZv9O+Rf8hBV30IrN8E7pfn4FAG1gCPvL6yOyzt11cohqmJUl4SLhKXZm49hhbIZU2M/B+us8DdWaCLFA29IpeuLamNBWKxyvrNtU8yMcNFTLyW7/1W+YDH/iA+dVf/VUFIr/yK79i3vGOd5jnn3/ezMzM3PL6r3zlK+Y973mPefOb36zg5Z/9s39mfuzHfsw8++yz5uTJk+Ygbbtpia0qRLaTHog2GetFfN0qfeIm/LDAar0sejq2jpkeKzHlWHF+BU5rnFI5bbQC00p2NqEXW3E+7gQitNVnDjr1uzJTNQxVjx420sotJblsUJ2OTR1AFMXZUBIdPckJDViqCOoFPSM9g7OipFDvRz+fbv6YjROtDD65F2nYpXwow728VBXiQQUDwQbwukonZ4rSsuBvIRsSNMJxgT8hhDxuutL19jN2Onb90MJ2x3b6pfkJ0DJpi2QWoiF9da25LsvqFhszgrIp8cUx5ROgbfBCWF8dycazeaMWCjBPo0UCCdYYn/edS0tCIYopFD9zJpu1G37Qiku7wxKMqUrJ6Hpt80KaWtaEFLBZUkmk542QHumYblUOAdvYCIGe1Q5SkNcycuojOauAyrzg8xkjV74Pn6KQRYgurt/BG1kLWubsdLHbldaiXY74i84GTvvSctVk1U3b8hfAHkjhkf61lUQpk5COiuUekNIhyGSsCMocVE95KM6JNApY0LHRjIi0OGFO9wR4aC+p6qxb0YWiKWXSSmdpvG2V0kzHto8IV7hw/cwzlQFnkkJDYA6TcnhotBTph4Sjz2hdwMPC0IUJt3iAG3RyzLbuoCoFijAoAigHvBYqqppLwQZBO0x0JRCkKon9k+dOsAExtN4qWw4TjGaT2EgHEsDzHmiXqIdRvW3OTXLASqs7M+RfEU7pIF5vblRm2tQNQbbtgYMq8KJKu2laGRPyRkqREndS1Y0mezkd0K3Q2QztOrpimZL2r9mUIJ9jGzvaAPBm2jNQdY6adQaWi8jahcPEnGPcGUeCIsnHq19N9zCiDssWlSJARiL+0OiM/PIv/7L56Z/+afO+971P3xOU/O7v/q759V//dfPBD37wltf/p//0nzZ9/2u/9mvmv/23/2a++MUvmp/8yZ80w247cYz90gM43GvrlVuCmV7Osp/Tc59r9UKafWG1vSid3a31cjqAPVwHDc1og02+XZagd4ZtsR0NyKIcm92K8eyEAzMokLSE0t7BqB1re39O1RVxO0494fJdPBh8DQIR5hKbuHM2vbRUpD7alR7n9N9s0CIgtUnnxirR2kaMoAnuutV1umGbNW6ScacBG12R0VroBKoYcJA4suL8HaWErgoDjRNXWjxo3g8aOxxpdP1wKuO5E6xRDcC7UaWBoyVQwhE43gEbNs4EOHquXJNmA5sugQM8DzrF4lhQH73erJmAlEMxo3w7p2k4MKRqxG1Q3yS0LeJKVaFjgVYEDhACI46b9cWejvOBW8Mp+uJiWamMfCGlE6qtULFoxImRHE1zFViT0iG4gDPC2ZxggeduCamIw2VC/Adbvj+Rj4mEWq6sqsGmSIsIFaq1gA3Oo8RfpM/pggv/hTFD8pwxJuAChTxWyJhSjpJcKrCaahwHrwZ+i4ihCGHhLEdsR2meu55jOmEen57UUQfn2qYD9nSxK2DHPlg1V5dq6pZMcIPUOJ9JOmJ+oS4VXfYlysLhKF1aJMViCabo8EDmpZ+Oeih10wXR/YO1omqubjrCBn5dfgzrORYX+sOYkpqhr4v4KwRm0t2B/Gm5OyiwOqIrSBk8IQLIk5NwoeIbgoE6FGUgPqfMs/SSWVo3U8Wcyrr5GejtWJBSjzHIoMwrxvUcwmLtQCgnKCXjZHtV1bWe+G/4HwQIzEnQclKhIFYrKw0Fo1MjaK5Y7Rquk/0BUjdfz98om6dfWdzoCJ3P8AxtOX8ukRQRmKVIYPvYqTFb1o18QbsjCXjmC8/R9cpi3AlGaH7I2rJNJZsK0AhwLy5BmLXk8YOwHQUjjUbDPP300+ZDH/rQxs8odyP18tWvfnVb71GpVEyz2TQTExN9X1Ov1/XP2erqqjkoCzP6o5yAXlU2Uc4EGx2RqhN5coiI29TDiEdYAj3s9FxARGTPRk5zJzaVc4ElbA06gbq/v9MBipXGJ0WxmWgGL4HTL9cOZMxJgnwxX9lQelUw7aQKaK+s32cSYLAJ9wtG3d+5k2a11u7JB+J0CSqBs3M9aiQJ3+eemGeIdrHRza3Cr4irHJLPiM4v5oy7bpyAtGxiIfi462zomMq1kh5xWg/9ynRJ2xAsbCcgHPS8enU5dqrFVnzJqgWT8sA5kdeWo0EGPJMyL90oW7nzTiAhLFQxcZZjhYQg//kyTS0Rm0uaH7DJ15rmkZPj5tLyunghN4MESIUtOWBO15QtA38X0jRcxEGUBVlL/C2waSoFdbmmee2ZyY1KJVexImIs5NvVmum0rDorqRs5agKRTFz9kS4vrUumntdzGmUdnB4vbOwT3BtBInLzkClR68QJ47gJ1h3nIUz8ZWwePBZX+o7YBj4QkLtrMMm9ojC6dLFuVmnOliXwyAuJQlq+nGzp3uUkC2mllM5MFQX3E5Dh9AmaKHXmH06V0/nlJRvwUP7K664if59NdPsUWbJlMtESGiWydN2mVAjWeQY8Z7RYQF2i+2j40AeB2Yn+EUxC2qWqCUSG60InhAAFrRzaMZCC0TyE58PP1bnaqq8udYm86hGzSqvEwBRSI7aKqw5CYw8G/O0P5y36QLBG9QxpvjfeO6m5SrqFNU8wc6VGD6+G/pZAF14XwYdDK2nVsFymNUHLXFysquJoOkknYj7PauuQTJnMZk0pC7ZjLAdGQowx3TNB94vX10xdXJeEOEUFVf8VJdQYj7fNq4/TubujYARUx66ZpDGrtqrvhIi7towe49rguXBd7EeUKrsgln1O/dlCqbOhDkbm5+dVcz47O7vp53z//e9/f1vv8fM///PmxIkTCmD62Uc/+lHzT/7JPzHDYG5Dvzy/3tXzB8q0Ey9szuG7nLhz/mGRJ/L/LCjHjQiLhEWlycPOnECFky6RMyc0tX6uN81ao7EBq/U6gfI9zsq9PxtDtHndTq1XYLORl12qajE4ohmbouMlkJd3GwqBiHNYbox7pSr2U4yn32eGBcx6OeXo3/USwrMCSOmesvn97kkVLUhvF2zJpjs1ns0WNuaEc44OjsZ5spmyqXAdEjPjBAoK0bancxwW781c6CXqt5uAcPDzGkzedrLxtpy0ps2aky55bFVM1JFyt71q6Ah7biJvivmU0ANO3iZetkqpCm5SG+kw0H/KVHFEeTb5eMyMphOm0kZy3pikkMmCgg4CAsaBIISVxPWhMcK4kdrCQERuStnb9YSKLadg9m8qO+jajPNmo4dsSJPHexIF8Soonz5N8EOqoquJwRjhEGn1gEMkZ8+4EJjxOv47Or44cBAyrS/2jHLNPHdtTTwT0heMEykTPYNCxvZmMjSVTJorq00zlkmZe2bGLLTf7ffSCEjH2U7boE84JNsJmr4vBAUdBVQ8o1NjeTlyZhbv0aoy521VDXOS0zzpAJqNklLg9K8eOVJ0tRocLqALz6de6JoQG55bPiXODo4XIjJ8Hz6DYITDDHNFJN1Gw6bauikeUhQ45SXKc1stkUfzyZSqh1DWJa2D6BjjuxjYSj/GsUSH4XLNXF6pmOurea1diKXwtFDXfe5q26R0mIirMgdOyb1TtuSclBd7MM+AwJrAbDSTNpdXqwqe681A6MqsVIatcBoHlPVGWyJ/CGMyvqTT0I0bz2VNo91SXyLUcUEKAQAgZ4PewZ0B4WBuqAFnYEt5X5kvax4SyIDwOHOK3cxfkDWeIQERQRzy8ozzoUnT3I597GMfM5/61KfEI4E/0s9AXuClhJGR06dPm4OyKCcgSu8ZhEiERZ5Y2JfrLQkeRbkRvaTJib6R3ybWQJkQRjyOHpa1NBlUOmsdR7/FTCdTJIHZSFply+inW+luHHu/3L/jJVDVAeSMqflUIn4LL4EFvyHHHrcprLBU8UGK8fT6TAlybeGUo3/Xjw8Ulc0fdE/ueTqInEAUyBmiJERUoTKRlB+OETInp6Qba4GciUTAxnLamJzg3FaifrsJCPs9r+0EazhiiHUg2vGuFLpOg9eRxkYCO205B0kaKuZtX5e27bZMCo2x4TPpMSPVViT41zPa4MnJ09EWgqKaoKFjks/IcfP3oEiMD2OJg3ppvizSK9eKE4o1Y6qKwalxEgWR5LNBD3Ai3MNEwfb7WK7WTDqFZDwOAY5BRwcQ1irTBccE+sNrCRp4T0ipBIYgFZY8yTxDUTe3aayj48u4/cnFRSnO8oypaoHHsFJBRKytazoxVjBzdIwmUKKcu5RTOu+BYyPmxbk1BWo4Q/rFyEHzfI09NM2OpKwQpNBBW9GhEmuQADnwuDlZyiqNp15JybjmyMVKxdQvLctJWmn/1EZDy5MlGtd1SdGR+eR4cHyGQ1ZJ77Dbcm84TYi+pD14bbXVMQvdZoIEJvdN5yXe98OFsgnmbZPQ+6dGzDwoQb0pTg8NDKuBRWy4jkePj0nRFSO1Bvckk0yZE3T2jgdmfrUuTlIxF5gHjqM+a1FJgsSgE7Oy/c3AHJNT75jz18s6cPE8SK2ABhGUElwyiszzExNJ9RUqwXGJQQCuWmn5vCW4vrJUNsdG8ubSclm8HKK8GBU7tArIJsVJkpjmREaChyAq8GVW4f4wHxMxyzETfSTQumKMaWro9gtXucReQKpf1WfqxG15WYciTTM1NWUSiYSZm5vb9HO+P3bs2MC//aVf+iUFI//n//wf89hjjw18bSaT0b9hsCgnwHaU7Q0vRmH8aK5XDb6oue9OkEHS5DhpNlDXB6TUtFCh9FBwRt0SOE5VvU6gfOUETv7Ukt5SOmkDIUJmck33tmv97hNSrnOaVlOBrpk0BsTBZFSOGe75Q7AC+lPvtAXv4kggbe1EWfZOWvQzt+uUw383KJDa7j2Fq2pQX6X8rkAflLWGNlJywOGUH8Ymy6koGvhKfTRtT9q9goV+17PTgLDfe20nWJPcfBCYi92qGOaZ5bYY8T/Y1Al4OQlTagtpl/mN5gLBGvunu8+Xr6/JEaiUnM8QCpRWCofghDQI3AbeH2fF33HZtVZg7psuqtprKbBVEATV5PqB+y8sUtJK47nkRvUIhw2eUaVFaXSwQQTMJVPmWrMmR4Ej4uVwTzgYcB8o6HJiBcUBOYE0eYIGfSP0nSn0RC/D4wucT3BzfKxjxpugd5Ycy8l+tACyYitASCHwWk71Ki9GLwXNlbWaubZW01hKSrxmAzq0bTjR0+eE4EU7Szym5o+kon5w3crS3zczouCFPYwxrDeo9rGVGHTsJXUg/Z1cckOF2pUpR3tYufQ0z5hnFi5X5+fMF/4WDgupMFAKlZyrJ49Ny7AfUQV0fRnl0YQpZahYIoVCC46WVSueKGiOITI2O5YzZ6ZuVifS++Xayrp5fq6s4I1U1ImJrETszk0UNmTo0WX5wfWyubZGGtCq50I+undmxBRySTOm5ny2UgVkg5QP93S8lDFTozmhd+zJBCIEDqStIEqfnSzo+bH/U6qcz6TM9IhRapeA79FjYwqi59arGgs0eEBQuH/WTiabMHNX6c6NkrFRTyaljpCgj8c0h8O+iXXCPwLS+XrdrC63RdaGuH5QRRE78kjpdNq8/vWvF/n0Xe96l37GaYPvf/Znf7bv33384x83//Sf/lPzv/7X/zJPPvmkOUx2CyegsTW86GD8W0WeWrZrbBd+HSRNTj6aiWEnnnXkTBGlNrrRK6cnt8B7OU3kmkFU7Pki0EalTX4XpVv97lP3EboH1zWT+n2uabm6GaKPd2HXhXVOL7acV3nSUOpq2Gw3KM3tBlK9qmogd0IW7HIgN1Jhrhx6UOC722sK6zRENUx2ksrbKlizTdxiGxu+SiYpn82kFWTxe1BBdR7Np7ol4/bv+R0ndlVL3Fgz1TbKnQTJlovFiRY06eEZROPs6ZYS61GTNA1SsIvrek8cHaTHE2NWCRTnAKIIkkcAAQRP8BOP2WaKOHdQGG4R3Y7RYtI8dGxEHAYaxuVSmQ1nUUqnzPNzq6quYG3QB4eTNQ32UEQlRUX64aHZMV3fVnoPTgFV3YqTBKJtITqnS3khCZx64f2gbMqJl+tn/XPoIY0xCg8C5eAqZc0gM5SJx7U/cfDiQCGeU7mun/M3lGMfR70zRcddUIOGLVcFuasRjN0Uj9R+Q/A4YjsuY+55ufLdXulpOc9YzGrgdPVKSG1iBDU4UGTR1cJDKqoxIUwXFpd1jedm8tpHec6dLoxNlZEa2jVaQmdBXMLl425OPnluWp9/daWu1AXaMojAgba5ayFQJFBavQatPCbiNRvyC1fXzH0zBZF4n7m8IpS7mKaCCaSJYJUUXUrXyv0RiPKcUFpmjsUlwtaRsq+r9BnPpcwj2VGRXnkuIFAtYxtD8nrmDK/ja7li39euEVvmzfyQVHz3sKu11bT7BfdOsHdluaLXjU9mlG4iOG53bu4ZQ52mIX3y3ve+V0HFG9/4RpX2rq+vb1TXUCFDyS68D4xS3g9/+MPmN3/zN6VNcu3aNf28WCzq37DbVifjQbn1aK6XE1X4bwdJk0c7KuLI2VhU3x+/lWfRa5PHmKyQ7DjZEZEDnQL/OW2PvVCtjcLw4QZpvSB6nEcn6JgbqzR2SutkJGGfPYYH95K4exAoTbiqBmIwVSCt1ZtC4dGU0aDAd7e23bL2nb4+Op52g4xLcAoEEMdmTE2I3mw6s1GOCdLh+pQ4zhXrhFJqOAm8BofFuDw2klVZJcEvp2OqH9ic15q8f0fOGzIvCAjBjbrhdvvY8L7wskBqcMaIooEwcqLlH79HKfXEaFaqmjh7CMKab6A8MaNKHxwizyCfhaSbMffNFrpibE21tuee+Vdv0c8lYQo04+vqEw0qZZdGEd5YXIemKWVSZuJYxpSyKVPrtMwc8uWJmFIVrmrFlp3aHjTca32so5O40g4x1oqdWbYjtj05rySamksEdVxLNkU1WFtS9DTFI4BbbxII2uAkmUiIt6FgoWgDMYeEhUt+xVXSMzZCokj7kJ52HW+dsnC4ugZhN6vfYZ0zc4vXUF3DuWg0lzATOdvz6/z8millc+aBEwV1hEbe36U0CAhvIso3jaDjRx+Y1WfOLVeFpL14fdXM1rISfmMeU1kDYrQ8bSsamcLMVVCYa6uk3lpmaa2hSrV0jLYBSNBTZgunCX0SG1CThoRsztoGOavWSedR5ZUUaqyGld1u8HBCQAupigGJriBkpgDDaA7Qq4kgi/QbqUnSs5BZCSYJ5HupL8NzdYgZCApcFddW4tBwRt797nebGzduKMAgsHjiiSfM5z//+Q1S64ULF0SwcfbJT35SVTh/5a/8lU3v85GPfMT843/8j81hsK1g92i3VWC37fztVr9370uOGagPpMSdmhAn6mXRTZ5FxMSE5EU0zulGed4d6nYMCsoG3UMviJ6KoErN5m5tRUh6zwmqO3Wiw2ps5pzGIK6R1nJdZHvl3QcFvruxneq93I4+jAt2A3FBcnKAnGbhZeDcpZKaS21SvAw3TMPxkhAh909atdGxSrXZbqVDrbmupnykt8azGVNNoPxp5eZxbOIldHksjt+DVDkBDsEKBwEJbeFYqGjptp3n91OlrHn2EimHjoEd0KEDfBxNlJz0QOCZnBwrmRNjNOWrm0TRSqI7bgScDdAJyiqjTsGhUtHyf+6b71GDRSjOoQkv3VhVcE8QS5BDIMb4u3YEIG2kuFZqdh2zBgmkQFSi84q5x9ernapZLFty70Q+aS4sNWz5adaqvZI+WUYNVPoYlCq3TJIKoZGcrptgMdzUTocsaY20lZLhv0kfUX7sOmeHq9hcdU20GSTGOPC5fE9qCORBKM543jx1z7TSS/fPjEr0DZotwUQYUY6a4zHB+SD4ZMQ5zDEHTmtMLfH5wkJFQV3O2AoUFSZIXbljzs4UzCvX16WQG28whmlz70RBf8dl22DLCAki4HAoz/2lESFy6w1LbKUJJMYetqZmkXEzgmLrlP0bnrm6i6QsmZm0EMiIuCU5W63G9YJ+OG6WU192CLeUZdu2V9V+VC3uOYGVlEy/tAzk1LCdP3/e3A22ndy660oLT4L0hHOAW52qB+XaWTiQWB13ZKcCYHqP8ZxypsB3TkNiNxHwbrkQ4d8pv0l56VhOeVanPhuVkL4d2wvRtPB7DUNHS1V5BLYKRuqyPRr77TXpd6seP7f7+rD1QhEnJ24ti++VItVpWpsxAYbtWaOUZsw2+mPTFi9plbJVI6Iq7+OakeFIou+Nkbqhoyufz+/gUmicQfjgHXQrE7gGOiJDpkXrgvYGOBKQiLOkFjIpVe1wXS/N1c3L1bIQwsdffULN8khz8KjURC7kFHrpE7FOVKGGZDzy8W30YmwvFFB5BONmS/FNQU24gaJ63CCxDvpBpUUB3oldizb1tHnuOHQORMGJl6GGy7mc4IBXIealg854TqgWe81YNiOUic+ONrVLxxNmrW7l+G1nXpChtmk2A3EbBlWxhe/Fce54TtLLScbMSDkpxOrc1Ih+bgMLCP9Whr5XIBJe43wllUHqBFSOz3MlwO41cO6ePDuhsnOCp/F80rSDmCqbqKjKJgIzPQbaEDcTxZQ5Vswb2wWHqiKLUJE/4t55P1XfLFmSr63GtChMVOuHsbctByxvKcyp4V7Xl2wJP4dh5ibP0KEf3E800I2i2vtRtTjIjmRvmjtlROXbEYnaibNzJxrIrbsVAGPSbdUtdr/SFRKMCm4uRBbfXkODt+MUhw1dCTfO45TroOt+82ov00k71Xu5XX2YXsFUIm4dfi8kKMzncpsxPwNGB2VAZwTkYqFSle4EIl1s4vzjc3DC0QqjaIDNpu7SQJxmCW7CyKI7LMBn4Prh65DCEHndWDLxWNIKm/G5rzs3sdFbBX4PxmsdiTOqH9NLLA6nJG2ZeluQPkiETcchBw5qgd5I75MuzonPBSEFnXFoCPsMQUGvucM4sF4dARqYn9QIZHjuz1ZvxMRT4OAjVdluaTLzF0KvqmRySXEbSBuNZulpY4MJpApySTseTudmO1VsUc6d5atlFDw5XaiodolDBcKyBNEUEgE/lYcEMbzK8pXYp5D7Lyt4pKrlzzx8TMEtKRUhTKYjDRS+0mogn0uYh6ZH9T4KdNo2kAprA6G7Q7VRIK0Ru0eDpBWzoFlW88btY2jCSFq+dHOcXFm/KmxCROHwGhmEfhxE1WI/88HIHtluHOB2nN1eCIDttEzzTqIC+yFothefsZfoyjAEVruxnc6b3c6z6HuE78ttlpyCsTCCFv68XpsxfxuV1ef07E7YYQfbb45LfK5gCZNUhkSRRSx8WCjlQWCqSleQysABtSJqt+EA3J7yIYF1dC/uZ1FkICoWR0CibrXtYNO9gT7Ace83/mHnJDmBHawN92zgGyAPAEJAkIHwl+1Ua9sIUMrqPlf3k0ia+WbDrNWrJhUn3cYzIliwXYsdZ8w52O3OpV5l42G+2lZrp9caJ0jgPfiZC7bQlYJj862LC2Zupa7nSj+czmSgMViuGPG0LMm8ohQO8wFuEG0LSCHeW8wqbeXmpgsinPrtya7yMT+PFkD0EyYMr49Bc5iKsEGdwg+CD9fLfDByQA5wu85uLzb43UTAdwoV2Iv72Ul32N1+xkEGAfsdvO3lvLkTJy1Oi0IbeszFrfhKYQIwzjo6foM24nDFB+RMHP148db3iIq6Qeq0yIPt/Gu5ZJvVbt3fu89AeM3xwlxZ6yCxOE7J6uvTLb119wYvIMyriI5/r7XRr+PzION1/MkPqF7a4CMkFVy4NhAbDSMR7UrFzXTOlva3ArhPIxt9bFwQEebE9BKQ7HVtg57/Vmun3xrnHlyw5SoPIcGi6SL5goDWAg2TWrGluWF0hmor6ckgiLZUFY/lnumi0iQW8UjeEmSTQmp1uVD9CiC2KyvQa/66njlwa8KoybCZD0b2yHbqAHfi7PZqg99uBHynUYHbuZ/tBkm3O2YHHQRsNa8wNrL9gFZ3enLay5PWdubioM9zBODdoIJhiN/l6zkVR9Vz+1WMUXKrxnR91G4xR8CFl1JpUFVidXd4bfhveonFkerp9b5b8a/Ca6NfC4rtPBdSV5BFUcAlnUBKLNZsqS0EQYhrEumaAgZBTHL5hVRSRNJT2VvX524OQf2e/1aB11aVkPwP9AnS8feurpgbq3VVHUGshnMD+tELnaF0W6rUyxXbeLLRukV5210fc4ny++U+yMVu97Fe7TnCwdAw2vBe2SG0nUycnTq7/YTS9gMV2M397DRIup0x2ytEai+sV0US6YfDXim0H3PR6peYgWjBdj63V75+J6JuUbVbzBFRreCb5WWEdXf4utP33QmygUOGILubQ4c6+FLh1WibWqsqAivK0HUFa6QjbqY9CvQ8CcnAuzL+6Pq8E4egrQKvfmuca6GCjS7ABBMAJFaDg345ViGY9JNLu0UlFSTJz39LZ2Sz8ra7V1fwQCAXG4Bc9NvHBjVVZX8gXUQgzHWENYmGISXTy3wwsse2XQd4u87uTlZ5DAsqcNCpk2Eid7l5NSxclr22fvN5J3Mx+h69TtmuJL7X54V/tp18fb91P0gav1c/KtIbpJLQCyENE9bd2cn77nY92aZ1Nh3hRLEGvZ9rc+EEDCHtoseCMirS/dH1OVbMWHJ/j5RMr+vpJdJ1uwKCgwKvXmPqeopBHOfaEdEDBeK3/HtgtqSqHaf6E34GEhwMApWUU13EPcVDAoRhbZxOly/SQS+mD3LRrx9YlHjr9Kn4OYFuWN333ERRqNRB7+GDzAcjB1jSuVtnd6erPIYJFTjoIGlYyF3DxmXZS9tqPvcj4IXXaD9hrV7Op9dreR93SnXXwM9R/0T7YavGhlEbdJrtlf6B3NpOW22Jfg67354U/jm23f3ElrIG5uVrq6oGQQiOEmQnitXPcLaMIc5W4nqJuETl6LdSqTfN+XpTDhY3zfMiwNqKKOyuh7F3Il0026N78eyoJXfuxKJjNWjdWOLoZoTG9RQDsWCMkJo/MWrLZblPKoAcIbnfuKKYyq0yVsdKuY3qIiEu9LVRg0JSco2NTtrRdTyoH5ib24wXWiKU8BKMUPWDijFaI6j7Mq+paLp3pth33hz03o75YOSASzp36uz262Q8TKjAsAdJ+2nDilrt1gbN53DQEIWxo+Q8nT7jMdvKvtayolBx278p7HxwpJBhwxs5VSpoXkC1gHjK71wZLfQC3p/AJLwH7DYA6Jv+6VZTuFJ+vjql2UF7UvjnOEBezd9sd9/qSErfaoAgLsf7oO2SS9t2DlHj866t1PQaV2nC/IOboPVYyqpUFbn7s5O2M/FNBKf3+IURHidRzjWpEqkdM9+7uqyO19vlO/Rz4NtdNyrLDrVWQMhsYS3QM6JAViTjzODg1CqJ2LnD51JGHUZcao2WubBcNek4wRpztKsHErqerfqBOQSJwM3qNdnKpKUqrQUCzS26VdMPh4owkJNBY3TQqV4fjERs2GHw/TwZDwsqEN64hjFIitqdPHGEAzLKAp2jHMZxuJ35HA0awgS86BrFYSBgxkmd/jFWQKtjJkboDbPZ+egzQxs5GhEEHnx2KmXz/wjy0f3YldFG9Sn6BQDuWQyqWNgq/WPfuzrwJOw+H/6K+zmvuTK/LgcYbaLY71o0Tu1Azo1r0Ni0OhsCX9G1H9a8QU+EoINusMVMUjLzIDxrNRUqq5RZmkId2x9ouyRVHCZjzmfwTlThoMILQkXH650Qj6P7t9RkQSWkdXJrMOHWrSPfutYKIFWQoBFx43cOTelHFLZjZ5tZOgP1YBxsY8WmOb+wrmsj4ApQCG60b1nH/daG5lF3DvF6ZN6pZkLUDH2ZejNtVqoNjZtTXWV+hfkqw+jjfDAyRDD4dpzY3XYy3sr6bVzDECT1st2eOHYSwPB+LoXAps0Gx98c9MlmN9ZvPmP91uGtv0vIGb4yX1GXWo0e6EC3j0y00sR9HnZxoSpEhZQJeXakv3FU4TLazZ8dvylB323Nrq62JfrgVM3lpYo5PZ6XWFqv5zEI3evlJHCenGqd4mo0YHPjoP4tqlixnxMmLPaSlHcIx/J63VxeqapMmI7PYDJOXn2rvXG2hPZJxSyuN9WbJRZLmdU6pNyOuXeyYGrNjvnu5SWd+F2aq19g5Ryh4+vUW1St2IAAhwqBdNAe7NYPTt9WGvWeN7ZZaGDSiWDguoXHs9K2/XNcawVsO2v71uaqN+c0mjdwUOgqnYzFhYxM0RSvuBm5cO/Dc3F9apxKcFg5FU6N7WljScwSl8umzNnJ4kZn62iKcVhTvT4YGRJnv10ndpRSFcMawe/19e40gLmZ07bdR4d9XAZZv/m8FazufheLtXVCb3Yl0VPxrBnJJ1VKiZE2cE4OY8N1fBJSDav1hhlJ206oOHLXhI3Tfi/FYrvhN1WKCxS+VKub0RRdqOty5nwKvxv0PPqhe1EnYe/N9hVB5wROB07LXQ9Oxo0D46VTdvcz3GuA7S+vrctpEWS5brgO4ZguZc0rixWzUK2L54Eyaiy+9d7olEORv6eyZCKZNqvVlr3+bk8clEc30gfd5n+gMDxnJFKID6JVHowF10hLjfDJXvfaZw8Oa7XguOtNUk6xTbwVwqwLi2XxOLgekAO0PdATwXpxMJxKNPOFMaNCZTtre9Aevbhe02cnTdzMrVZ1b3PLGXOmq0sTNuYf5dJL5Yb6D1HaPTN2az8wp4hLupH75XVc7z1TI7dNCt9P88HIEDj7nTqx7aYqho2gtFMb1gh+L693NwHMYRuXrazffB60DnEQ6Chwuic9ct/0iLmyXNV7gCQwrs5h96qsQf+C1u508i13UQYc5MOzo3JQG034Is0vcWqIk1HSymm13gjM9XrNnEjm9b44fFsR0zvV4axXWas4It2OwGGZcLQqCDOiOieukZ3mT8uSTxkd6+ztNeOkHJESxIKTPukDy7UxqhAhFTKTzKih3Fih/7WH90Y6yM6v181ElpJeezqfyNGC3o4BYx9OHzjxN6pLnru2ok69cCVOjuWVCgk7QtJccEQs8nfzZI+5lA/mUipRrRaQKgR7mQ+gVE7ZFkVVAkZ6zhAo8T3CZiK49uBg0OOHgIlAczqe2dGa6zWnSSdWGyjWNhVsMe728xoWzQtZuBnimamCEI9oDy83h5LxQPymcOM9AifbLPHwHGh9MNLD9puXsBvnshWfYxgJSju1YY3g9/J6d/PsD9u4bMd6zed+69BxODj1Q5w8PZ7TSRxhLRqOkbLhbwelP/geh33/7IhOnXSO7bQC8UX4G6cdEW1+iYOHwIg4GSRHTt/1RkdOc1DTvUEW5aBAKoUPxPvhLHEo44VYT52T6Bgp/dJN39ny0aoJ4mhjGKVSOPVTCcK9k1Ii2KEbLFwRHCV9Y1xZcS/j87gGAjkaDkJ6Na1AY0hpL8EdwQD34NIHricKyBOndxRqUwmLQHSCdQV/0T2WgASOSC9tnTBPh3FnHuQycT0HuCr1esdMFxFbSwsZ41nyHLkm/saShG3zSaew6oLAKAfDBVHYTtdceE47NDONeN1IVs+HUAQUgzYGiS7q5sr3w80QNffzN2Xiw+/peDmu3xdzH/6URQ2Zn7bpXq/nOGzcOx+MDAF5c6+dy93StXZYI/i9vN7dPPvDNi63M5d6IQhubhOA0Bfl6mrVZNI2TTE1klX32FzIYfcK+HD2DDEO0hFfqzFLkq022xvIQ7T5pXRB0nGTSKQ2+qow/pQfI3UebrrXTyU3WokTTRFwgibg4C9IPdHJdpDOiRujaPqOAGG+UpPTI8Dg9My9MWbTxayCEao4qIjBUVeabTMZt4jUoOfjxONOT+Z1rYmYUSDy8ImSFW7r8jNIH4TVYeFhEFDggJX+KKY3nsOgZx9+5lGiLuNC2Wo7SOnZUYWDIix8lWSiqedzY62iNBVXVau2RG5Wuq6YEWoEh4SJ0C+IivI0drPmXIUO1VqVettUWy0TdJh7OT3fbHJzewCnQRNNzbk5E60mY4yYw5CxV6otMwoHqjaYxOz0Vxyv6KD3Dx+MDIHttXPZKxh/GNCVYYzg9/J6d/vsD9u47NVcis5tyi9BQxy6AWqBbsNMl9g6qIIlLKVO0DCSSYlPAOQfLaHcSsSL1zhHHD3J9yvFdemiaIqANJCJBabSapulhTUTi42a0bwlUQ56ztGxoZPxaCZl5st1oSpEN6fGckrPIMdOCoPUhoP2SUchZb6VnLwbT1dtIq2RURsogcaE7zk8R9X9NhUXr4OxIngDidnq0BW+ryhRFwTFpZxSTn4+kzSZTNxkEwmROBWcZZN67Usra0JWeG2tiyIgq8/PUJE9O1W4JYhy476dNbeVeF/Q7pgHj48IxeP+i+mEgsHZku3gvJ0WBL0Om1w/CB7aLJT08r61dttkWzcRl2Hc38Pmg5Ehsb10LnuBtAwTeXRYSozv1PXu9tkflnHZy7kUndsW2bAKlry368MRfv9+AR+vdxB+pdHR5l1dteXS7bYx0yO9ofl+Il69TvL9SnHDSEs4RYAzAeHhpMo1LpXrJpEINoinOxkbAqIzkwWRceFSgN4A++PY+Me4Ob5JtOPtIAuPJ3/Lew4SmXO8Bf7uodmSeX5uxdzo8jwmi0W9bpAj3EycvZWoS0rFXTukYt6Heye4Yl6AErmSXOYLyqmgRS/MrQmlmShmhBgRtBGMMIf6SewPWnODnHt4zEA97pkqasxoiuh4TfWWDYoJtvhfvxYEvQ6bPAdEzk7ps+KqKoMAPNFHdXWY9ndnPhgZItsr57IXSMvdRpIcdjssgcVubC/nUq+5zWlYhMAB798r4HMbcKXeMucX1lRmOTuW08m9rdcVB66jftc+SDtlENKCk0JxFKEvEASbikrbE/WG+93Z2Bwbzcnh4mhBD8In7Ns5AEX/drvPeKKYNk+kJ8z5+bLuCPRmK0cYDX4cUZf/DgeWriGiQ6xcgOQCPdIX2UzCTBVzptG2P0PsDscsgbI7LEYZLsnnA0HBwpo0TXrndPkeropoJJe6JTXX67DJ9cP5IdXWardMuR7T2B4b7T2mw7i/+2DkLrXbRVruRpKkt4PhBe31XIrObQxy6VbvHyUUOudBEEPahgZonKipXqGzLC5qN+uo3/2GS3H7IS1In6M4ut2y1u02hnMda6OCbLcTBG/+2+0/Y34EijEoeBx0X+FqmvAz6fWs+OfQCFIXYCQEAeiNFGir3CWLgqIQ5PSTnd9qjQwKQMOl5f1K8t3vmAekcEh9ERCfm9os4d4r6OTa4f7AoUqmLLpGUPvq42N9VWuHcX/3wcht2jCXz97uRnMYSZLedmb7kTe+E3MpOrd3+v5h5wEkDplydb1pxgspfR+uKNnpOup3v+FS3H5IC86wV1nrTsaqX2O4O9VC3u2BYQ7OoGewW0cYfQ69nkn0Nb30OCjpJUiw6RrLZaHqBr5Mr+vdzhrpdU8KeFdqG/2OwvygXoJsrXZHqZkJk7HquCA/ESG0XvfF5yC+N57t/m3R/i28oMO0v/tg5DZs2AhAe22HjSTpbWe2n3njOz2Xdvr+m51HQpUe7WygU+ZuAoDtXs92rjNa1rqb69gvGL5f99hB173fjtAFKDT/o4z4xFhOGiQY4wMKATLWiy8ziP/jqorcdYcbOoqvYoJbKrHCOjIi/oaC3mRoPvK5XBOBca+KrPB98dpef7tVcDds+7sPRnZpw0gAuhN2N3MZjrrtd974Ts+lnbx/1CECj5+bLG7pSPfierZznbc7VvsBw/faA3G429kDD8oR8jlS943HNtJEvTQ8Bq0RAo4L7fZGDxuqsBBRCzd0ZB6BVmR78IPmVmub1FKdbPxMJEDjfaPVSeHDbhiV30lwF0Xzh2V/98HILm0YCUDevO3EhjFvvJ82bCfDvbTbRR+2k36+3T3woBzhTuZ99LWgGZReTyTg31hUBel4tE1cJRfpMJCTXp8BGTWslhpuaJgLzUcCHQKRfofdXqj8dubyMKP5R2PXuQMWnqRMANuD4ehs5EfZXCdSp9542B2WNBeGJG+838+Oe3WllXebOeeG0JZzdtsxJyd+abGir3w/7HvgTtbkTuZ99LWkX9CyIfDgPkFZ0CtxiJpKgtskaIKen8HPnVoq8869vtXljfQL9Pgcqr7cPYbJ167vDzZoLvf7u2HZxzwysksbRgKQtztvw3yy2I3dzejA3f7stmN3okR12PbA3TzXncz7XohFWMtFZditwLSSnU0oSyIZu+UzNvM7NqMy1R6qquFmkLqWFK0BborxcT3SKGlujUgNO5rvg5HbsKO0kXu7e3lCw5Q3HsZnN8wVc3ttO3VYB70H3s5z3SnHyL02HIBBQEXIDc5I7wqpaAVQ7wAOm1upbijiEuRI+yQw4p7w3/RBghDriLC0DqBMmV46SNhTLQRJ97CmZX0wcpt2FDZyb4fjZHGUneidenaHCU3Zi+e9G4d1kHvgdp/rXq0F3oehiFbTIDC23ffv19H34lJF/03ah4aLvAuiZ7Wu9g0pGP5GhOt8Wj2ZwgJpBCm897BUMe3UfDDizdt2F8uQnywOqxMd1md3mJCwvXrew+6wdvNc92pser0PqZjdatFEO/piaubXbJsfrtclvAe/ZLXWUJO98WJs4/6k5lrMSDo+3F14q+D6oJGsQTZ8u6g3b0Nqh4XwOexEtcPy7G49dfcmG95tzztMfAUBwK8f5NwZRE7d6rnu1djcyTXlOvqeGM8J4aCBzmqlqc8ZzVl1XtJA6/XWxv25/kJMRdddeLvk4WElbXtkxJu3HdgwnywOazppv+z2hNGGFwm7E8+bsWm06CLbX+diP2w7qMag57pXY0MwxLXkM1u/z05TQtEuyEtlFIED/Te/CzfMI4hwfYp2g2ANc+rWByPevN1lPKHD4kQPwm5HGG1YkbA78byHIUUVvQY0PSg1PjtZuEUttd9z3Yux4W+urdTM/FrNdNYskZRwoNf77CYl5ObZleWKWV5v6vW5dE4kVqcp4tRYoyJoOwmuhz1163cnb97uMjss6aS7WavjsD/vYUhRha+h1Q7MSq2hYOTCYrmv9slej40LiDpBYI6P50QqRUo+SWO9yPvcTiqnqoCnaq6tVs2NtZopZFKbrtn1/dmptsheXNt+mUdGtrBhhrW8eTvM6aTDsg6HHQnb7fMeNKbDgK65awARIRBZq9qy13bH7AiluZ21EA3Kzk7FzXqtpcZ6oDPhvjG7TQmBgDw/t6KqGUipy5WGAq4nTk+Ir8N73W666TCkbn0wcohhrYM2H6gNtx0GJ7od8+tw75/3VmO6XymqQXuIuwbQkPWa7R80O5I1yWT/XjJ7vRaiQRmBQz6TFHGU6wqPn3re7CKAI6CpUc7bVWXl62q1qfsbSae6r7q94HAYgsutbHiuZMjsMMBaB2nblYz25u12zK/DgxvTO52i2s4ewmfCETk9kVNXXAKR/ZSd75XmGZQy2U1KiAAkm4oLESEw4Svf8/NB17GT4PAwpG49MnKIYa2DsmEgt3k7GubX4cGO6Z1C13ayh4A4nBwrHBiROJrmGTR+u0kJcX8PzZaUqgERyaetqmuUpHu7qddhT936YOQQw1oHZd5BeNsv8+tw79OnwzCmh012fnNQNnj8dhPATRTT5vXZSSEjICLRQKT3ddzufQxXyt0HI4e8rO8gbBg2M29Hw/w63Ht+zTCM6WGTnd+P8UsnbXfeo8rJigVIvw25ra6umlKpZFZWVszo6Oi+fvYwRIzDaMMygb0dDXPrEK2FcE8Qb5vHCO5FOPWBo+yXPj3ove2w7yEHPX4HMWfupP/2yMgWNizR+LDZQcOm3o6WDYsi6DDbTlMfB723HfY95KDH725LuXtc3duubVh7HHi7+8xX1ews9YEz2c+qk73cQwb1ovF2986Z4Z2l3rx58zZEiqDDboehfHNYJAN8wDN8c8anabx58zb0dphI0wfJJbhTqY/9uKf9kgw47FyVuzVd5oMRb968Db0NQwXIYXF0e81l2K972g/+gtdIGl7+y/AdK7x58+ath91pRdDbhe7vRl7Lft7TfvAXDku6r30EeTMeGfHmzdtQWzRFcCdOcHtx+h+myoS9sv28p/1Avw5Duq86BOjaQdjwPAFv3rx5OwBC416d/oepMmGvbL/v6U6jX8NE2Dwq6Np27fCuEm/evN3Vtl8b815B98Pu6HZjB3FPd1oy4E4HPEchjXQnzKdpvHnzdqRTBHsJ3e9HZcJOKlv2ogpmWKot7jbC5mFNI90p88GIN2/ehtL2a2Pea67CnXR0O+ET7CX3YFid991miUNSNXYnzAcj3rx5M0d9Yz4Mp/+dlKX6EtbDa7lDMBfvhPlgxJs3b0Nr+7kxD/vpfydpq7uxsucoWWLI5+KdsLs/EeXNm7dDbb4H0s4rW+7Gyh5vd7f5menNm7e7wu52oaidVLbcjZU93u5u82kab968HXo7KkJRO0lbHVXugbfDaR4Z8ebN26G2oyYUtZO01d2Y4rrbEbCjah4Z8ebN26E2T9Y8OnZUELCjaB4Z8ebN26E2T9Y8GnbUELCjZj4Y8ebN26E2T9Y8GnaUpdKPgu0qGPnEJz5hzp07Z7LZrHnqqafM1772tYGv//SnP20efvhhvf41r3mN+exnP7vb6/XmzZu3Q9VvxNvemEfA7m7bcTDyW7/1W+YDH/iA+chHPmK++c1vmscff9y84x3vMNevX+/5+v/7f/+vec973mN+6qd+ynzrW98y73rXu/TvmWee2Yvr9+bNm7e7lqzp7aZ5BOzutlgQBDtKuIGEvOENbzD/5t/8G33f6XTM6dOnzd/9u3/XfPCDH7zl9e9+97vN+vq6+Z3f+Z2Nn/3Ij/yIeeKJJ8yv/uqvbuszV1dXTalUMisrK2Z0dHQnl+vNmzdv3u4i24vmf972z7brv3eEjDQaDfP000+bt7/97TffIB7X91/96ld7/g0/D78eA0np93qsXq/rBsL/vHnz5s2bN4+A3Z22o2Bkfn7etNttMzs7u+nnfH/t2rWef8PPd/J67KMf/agiKfcP5MWbN2/evHnzdnfaUFbTfOhDHxKk4/5dvHjxoC/Jmzdv3rx58zYMomdTU1MmkUiYubm5TT/n+2PHjvX8G36+k9djmUxG/7x58+bNmzdvd7/tCBlJp9Pm9a9/vfniF7+48TMIrHz/pje9qeff8PPw67EvfOELfV/vzZs3b968eTtatmM5eMp63/ve95onn3zSvPGNbzS/8iu/omqZ973vffr9T/7kT5qTJ0+K94G9//3vN29961vNv/gX/8K8853vNJ/61KfMN77xDfPv//2/3/u78ebNmzdv3rzd/cEIpbo3btwwH/7wh0VCpUT385///AZJ9cKFC6qwcfbmN7/Z/OZv/qb5xV/8RfMLv/AL5oEHHjCf+cxnzKOPPrq3d+LNmzdv3rx5Oxo6IwdhXmfEmzdv3rx5O3x2R3RGvHnz5s2bN2/e9tp8MOLNmzdv3rx5O1DzwYg3b968efPm7UDNByPevHnz5s2bt8NVTXMQ5ji2vkeNN2/evHnzdnjM+e2tamUORTCytramr75HjTdv3rx583b4DD9OVc2hLu1F5fXKlStmZGTExGKxPY3YCHDofTOo5Mjb/ph/HsNj/lkMl/nnMTzmn8XOjBCDQOTEiRObNMgOJTLCDZw6deqOvT+BiA9Ghsf88xge889iuMw/j+Ex/yy2b4MQEWeewOrNmzdv3rx5O1DzwYg3b968efPm7UDtSAcjmUzGfOQjH9FXbwdv/nkMj/lnMVzmn8fwmH8Wd8YOBYHVmzdv3rx583b32pFGRrx58+bNmzdvB28+GPHmzZs3b968Haj5YMSbN2/evHnzdqDmgxFv3rx58+bN24HakQ5GPvGJT5hz586ZbDZrnnrqKfO1r33toC/pUNnv//7vmz//5/+8lPVQxv3MZz6z6fdwoz/84Q+b48ePm1wuZ97+9rebF198cdNrFhcXzU/8xE9IQGhsbMz81E/9lCmXy5te853vfMe85S1v0XNCMffjH//4Ldfy6U9/2jz88MN6zWte8xrz2c9+1hwl++hHP2re8IY3SKV4ZmbGvOtd7zLPP//8ptfUajXzMz/zM2ZyctIUi0Xzl//yXzZzc3ObXnPhwgXzzne+0+Tzeb3Pz/3cz5lWq7XpNV/5ylfM6173OlUV3H///eY3fuM3brmeo762PvnJT5rHHntsQxjrTW96k/nc5z638Xv/LA7OPvaxj2m/+nt/7+/55zFMFhxR+9SnPhWk0+ng13/914Nnn302+Omf/ulgbGwsmJubO+hLOzT22c9+NviH//AfBv/9v/93KrKC3/7t3970+4997GNBqVQKPvOZzwR/8id/EvyFv/AXgnvuuSeoVqsbr/nxH//x4PHHHw/+3//7f8Ef/MEfBPfff3/wnve8Z+P3KysrwezsbPATP/ETwTPPPBP85//8n4NcLhf8u3/37zZe80d/9EdBIpEIPv7xjwff+973gl/8xV8MUqlU8N3vfjc4KvaOd7wj+I//8T9qjL797W8Hf+7P/bngzJkzQblc3njN3/pbfys4ffp08MUvfjH4xje+EfzIj/xI8OY3v3nj961WK3j00UeDt7/97cG3vvUtPd+pqangQx/60MZrfvjDHwb5fD74wAc+oLH+1//6X2vsP//5z2+8xq+tIPif//N/Br/7u78bvPDCC8Hzzz8f/MIv/ILmJM/HP4uDs6997WvBuXPngsceeyx4//vfv/FzvzYO3o5sMPLGN74x+Jmf+ZmN79vtdnDixIngox/96IFe12G1aDDS6XSCY8eOBf/8n//zjZ8tLy8HmUxGAQWGM+Pvvv71r2+85nOf+1wQi8WCy5cv6/t/+2//bTA+Ph7U6/WN1/z8z/988NBDD218/1f/6l8N3vnOd266nqeeeir4m3/zbwZH1a5fv66x/b3f+72NsccZfvrTn954zXPPPafXfPWrX9X3BB/xeDy4du3axms++clPBqOjoxvj/w/+wT8IHnnkkU2f9e53v1vBkDO/tnob8/jXfu3X/LM4IFtbWwseeOCB4Atf+ELw1re+dSMY8WtjOOxIpmkajYZ5+umnlTYI97/h+69+9asHem13i7388svm2rVrm8aY/gRA9m6M+Upq5sknn9x4Da/nWfzxH//xxmv+9J/+0yadTm+85h3veIdSEEtLSxuvCX+Oe81RfpYrKyv6OjExoa/M92azuWmcSGudOXNm0/MgxTU7O7tpHGkM9uyzz25rrP3autXa7bb51Kc+ZdbX15Wu8c/iYIwUJSnI6Pz1z2M47FA0yttrm5+f1wYR3nQxvv/+979/YNd1NxmBCNZrjN3v+AovIWzJZFIONPyae+6555b3cL8bHx/X10Gfc9SMLtfkw//Un/pT5tFHH9XPGAsCOoK/Qc+j1zi63w16DQFLtVpVgOjXlrXvfve7Cj7gh8DR+e3f/m3z6le/2nz729/2z2KfjWDwm9/8pvn6179+y+/82hg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+ "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "loan_data = pd.read_csv(LOAN_DATA_CSV)\n", + "loan_data = loan_data.drop(columns=['Unnamed: 0', 'status'])\n", + "loan_data['outcome'] = pd.Categorical(loan_data['outcome'], \n", + " categories=['paid off', 'default'], \n", + " ordered=True)\n", + "\n", + "predictors = ['dti', 'revol_bal', 'revol_util', 'open_acc', \n", + " 'delinq_2yrs_zero', 'pub_rec_zero']\n", + "outcome = 'outcome'\n", + "\n", + "X = loan_data[predictors]\n", + "y = loan_data[outcome]\n", + "\n", + "knn = KNeighborsClassifier(n_neighbors=20)\n", + "knn.fit(X, y)\n", + "plt.scatter(range(len(X)), [bs + random.gauss(0, 0.015) for bs in knn.predict_proba(X)[:,0]], \n", + " alpha=0.1, marker='.')\n", + "knn.predict_proba(X)[:, 0]\n", + "\n", + "loan_data['borrower_score'] = knn.predict_proba(X)[:, 0]\n", + "print(loan_data['borrower_score'].describe())" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### R\n", + "R derives neighbor-based features for subsequent predictive modeling.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": {}, + "outputs": [], + "source": [ + "%%R\n", + "borrow_df <- model.matrix(~ -1 + dti + revol_bal + revol_util + open_acc +\n", + " delinq_2yrs_zero + pub_rec_zero, data=loan_data)\n", + "borrow_knn <- knn(borrow_df, test=borrow_df, cl=loan_data[, 'outcome'], prob=TRUE, k=20)\n", + "prob <- attr(borrow_knn, \"prob\")\n", + "borrow_feature <- ifelse(borrow_knn == 'default', prob, 1 - prob)\n", + "summary(borrow_feature)\n", + "\n", + "loan_data$borrower_score <- borrow_feature" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "%%R\n", + "plot(borrow_feature)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Summary: KNN as a Feature Engine\n", + "\n", + "| Operation | Python | R | Notes |\n", + "|---|---|---|---|\n", + "| Feature derivation | neighbor-based engineered columns | neighbor-based engineered columns | Both reuse KNN structure for new predictors. |\n", + "| Pipeline role | feature augmentation before model fit | feature augmentation before model fit | Equivalent downstream modeling use. |\n", + "| Interpretation | local similarity signals | local similarity signals | Both encode neighborhood context. |\n", + "\n", + "Python generally exposes modeling steps through estimator objects, while R generally expresses the same steps through concise statistical functions and formula interfaces.\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Tree Models\n", + "## A Simple Example" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Python\n", + "The package _scikit-learn_ has the class `DecisionTreeClassifier` to build a decision tree model. The function `plotDecisionTree` from the _dmba_ package can be used to visualize the tree. \n", + "\n", + "Python trains decision trees and inspects split logic for classification tasks." + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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c2LcHFSpX0cqEat2uA9auXolSxQqhddv2apiAr+873LxxAyePH8WSlWt/44pBTWc9eugQSpQqDWublHj16iXGjR4Ja2sbTW+8wSNGoaxbEbgVdkGbdh1glcJaDXm4c+e2Kp2V82vTvhPGjR6hzkUGddy4fg1DB/ZT10WuT3ikj+CgYSPRtWM7PH/+TE3BTZbMAE+fPFblwzJkQ4ZHRFbmLFnVTfa5d/dONYxCJtjKIIrAQJdVihTq9rvKlKuA3Hnzqem8A4eNUCWw40eNVN/Dth06a9Z7cP8+nJ3Sonuvvujeu69aJgMmpAdhocJFVKm2DMuYPGEcvLyeY96ipSEeSwaTXL1yGUNHhp5tKT0ax48ZifIVK8PWzj5g6MRiT2zbshlDRoz+5Ww/IiIi+rcxYEdERES/ZemqtejU1gPDBvVXZZYSpJDJo4EkkLdl514M7NcHrZo2Vssk+23rrn2aqay/QgKCK9dvwqB+vVUvOCkDlYDJsFFjVZAtKAkkSZmpBAkl0BNIMtMkiFfQ9UeGmjA0NMTO/YcxathgFUiTIJYEhRwd06NS1Wq/fMya48mcFbt3bMfAvr1VvzwpX5XedXMXLlYZd0L6nm3fe1AF4Lp0aKum3Eq5p3vzlpr99Bs0RA2rmDtrBmbPmKauv2S09Rs0NMI+cKJJsxaqnHnSuLEqI0wCrxIYlGORa/YrpK+dBAvlJpmUkTmOnyX7XLF2I/p074JO7Tzwyc9PZQxu2r5bk9kpZGKslLJKP8BAaR0dsXnDemyWqa8+PjAwNES+/AUwbfY8ZM+RM8RjSfBNSq6lzDc0FlZWav/DBg9QJdoyTCRzFmcV/PuZgCcRERFRUPG+yzMZIiIiolC4uLjA3iGNCmYQUdRo3awJ7t25hcOHD/OSEhERUaii/i1PIiIiIiIiIiIi+mUsiSUiIiKKQoFlmGGRPmtSNkpEREREFBZm2BERERFFoaWLFsIkacIwb84Z0vJ6ExEREVG4mGFHREREFIVKly2PfUdOhHl/4FAJIiIiIqKwMGBHREREFIVkUqvciIiIiIh+FUtiiYiIiIiIiIiIYhEG7IiIiIjCsHnjekybPPGfvz7Xrl5BpbIlYZU8GexTmMGjuTvevHkTqetycP8+lCziCgujJLCzMkXzxg3g9fx5iPUuXjiPKuVLI4WJAWzMjFCrakXcvn0rxHr37t5F/drVYWuRXB1PuRLFcPbM6X/+e0RERERxCwN2RERERGHYsnEDpv/jAbunT56gbImi+PzpMxYtX4UxEyZj357dqF21kpqIG56jhw+hcrlSME5urLYdOWa8WlahtBs+ffqkWe/2rf9Qulgh+L7zxewFizBl5hw8uH8fZYoXxgsvL816r1+9Qqlirrh+9SomTJ2BeYuWqmMoX7IYbly/Fq3XgYiIiOhPYg87IiIioiggAai4OFBi0vgx8Pf3x7I162FoaKiWWVmlQBm3Iti2ZRPKlKsQ5rYjhg5GKofUWLJyLXR0dNQyx/QZUKRAHngumIdmLVqpZePHjIKunh5Wb9wCAwMDtSxX7rzIltERkyaMxeBhI9WyubNmqADe9j0HYZ8qlVrmWrgosmZIg2GDB2DhkhXRfj2IiIiI/gRm2BEREVGccuniBVVOKSWTUoYp5ZjHjx7RWqdV08bI7OigSindCrvA0jgpcmXNiHVrVmmts3SxJx48uA9DfR11K+tWVN23xHOB+lr2W69WNaQ0N1ZZaOLZ06do0aQhUlmbw9wwMQrkyoYVSxdrPX7g9pJtVr1SOVXamTqlJQb06aWCY+L5s2cwTaaP6VMmhTjHPj27wdbSBB8/fkR027p5E0qXKacJ1okCBV2RMqUttmzaGO62p08eR5FixTXBOpE9R041lGPzhnVB1juBPHnzaYJ1wtrGBhkyZsLmDes1y06dPA7HdOk1wTqRJEkS5Cvggh1bt+Dr169Rcs5EREREMY0BOyIiIoozzp87ixKFXeDj7YNJ02fBc9lKGBgaqBJM6ZEWlI+Pt+qnVqdeAyxdtQ5ZsjrDvUFd/Hfzhrq/a88+KFGqNCwsLbH7wBF1GztpitY+mjash7Rp02HR8tXo2ac/3r9/rzLPdu/agf6DhmLJyjXI4JQRzZs0xPw5s0Icrzx+psxZsXjFGtRv2AQTxo7C8MED1X3yuGUrVMTCeXO0tvn8+TOWLlqI2nXrI1GiRGFeCwn8SQArolt4Za0SELx/764KnAWX3skpwjJUCdTp6emFWC6ZiNIXL+h6uqGtp5cQd+/chp+fX4TrybHKukRERERxAUtiiYiIKM7o27M77OxTYeP2XdDV1VXLirmVRN7sWTB6xFAsWvYjg87HxwfL12xAfpeCmqyxPbt3YsO6tejSvSccUqeGqamZCgblypM31MerWrMW+g8eqvl61vSpqh/b9j0HVNaXcCtZGl5eXqpks2GTpogf/8f7pRKQC9y+mFsJ+Pq+w7TJE9CmQycYGRnBvVlLlC9VXGXy5c1fQK23cd0avHr5Eo2bNg/3WlQo5YbDhw5EeM0279iDgoUKh3qf95s3KqAnxxKcsXFy3L1zJ9x9p3FMh1MnTmgtk950koUY+P0JWM8RZ06eVAHEBAkCnp6+e/cO169dUY8vx2FpZaX2d2DfXjXwwtjYWK337ds3nDl9Sn3+5vXrCM+XiIiI6G/ADDsiIiKKEyTD6sihA6hctTrixYunySAThYsWU+WnQUn5ZWCwLjDrK01aRzx6+CDSj1k2WP+2I4cPwtbWThOsC1Szdh01GTUwey9QxcpVtb6WY5csvauXL6mvXQsXQbr0GbBg7mzNOgvmzkHefAWQPoNTuMc2Yep07DtyIsKbc/YciC6tPNrixPGjGDZogOo9d/PGdZVVKEHLoIHLlq3b4uHDB+jYtrUacnH/3j20atYYvr6+6v7AdZs0baG+py3dG6pgoQT+unVqr7IAg65HRERE9LfjsxoiIiKKEyS7SspAJZPNJGlCrdvsGdPUhNGgjIwCMrSCkmy6T/8vv4wMcwvLYMfwBhZWViHWk/LWwGMMyszcPNj+LNTHp0+faJY1adYC69euhre3twr4HTq4H42bNovw2BxSp1FlvhHdkiZNGuY+DI2MVPBTHju4N29ewzh58nCPoUbtuujaozcmjhuNNLZWyO2cCSmsrf9favzjOkmAc8zEKVi/ZhXSO6RElvSp8e7tW9Su10CV1AY+TioHBzVFVnoPOjulRbpUNjh54jhat+ug7g+6TyIiIqK/GUtiiYiIKE6Q4JJkWLX0aIvqter8kceUYFZQxsmNcff2rRDryQCJgPu1A1ySdZbWMZ3ma8nCC5zCGkiCVgP79lKDKx7cvwcjY2NUqlo9wmOLipLYxIkTw9bOHteD9JsLdOPaNbgWCRi0EZ4+AwahY9fuuHf3DszMzFVQMmcWJ+T7f4lvIJkY26BRE9y5fQvJkhnAJmVKVClfGjlz5dEqn5WsxHIVKuHWfzehq6unSpc7tGkFG5uUSGlrG+HxEBEREf0NGLAjIiKiOEGmheYvUBCXL13CsFE5QgTTfoVewoTw+xT5jDuXgoWwfs1qnDh2FHny5dcsX7VimQpUBQ3OiQ3r1miV5cqUWjkPp0yZNctkOmu1mrUxb/ZMeHk9V0My9PX1IzwWKYmVPnARCX5MwZUpVx7Lly7G27dvNVNcjx05rKbnyn2RIeeU8f/ntGPbFpUpOHWm9jCNwLJkGdIROO1X+tXNnLsgxHoyfEJKhcWTx4+xdvVKtO/UNVLHQkRERPQ3YMCOiIiI4oyho8agTPHCKjOrXsPGsLCwxKtXL3HuzBkVwAs6ICIyAvvHec6fi4yZs6iAVXgBrjr1G2L6lEmoV6sa+g4YrMo/Vy5bin17dmPClOkheqxt2bgBSZIkVQMvDh88gDkzp6NL914hhjw0bdFKHYNo5B5xOWxkAnGR1a5jF6xYtgS1q1ZCx27d4ePtjf69eiB33nwoE6SH37LFnvBo0RQbt+2Ci2shtezC+XPYtWM7nLNlU8Mjjh4+jMkTxqJ9565aAc3Hjx5h7qwZyJMvn8qaO3f2DMaPHoHylSqrYGWgL1++oF+v7mr/SZMmU5Nmx44aDienTGjboVOUnC8RERFRbMCAHREREcUZztmyq0EKI4YOUsMI3vr4qDJM5+zZVS+4n9WgsTsunDuLgf16q8msBVxcsWXX3nAzybbu2qeCSv379ITvu3dwTJces+YtRM069UKsL/3Yxo0egelTJiJR4sQqkNWzb/8Q62V1zqam31pb22gyy/4UCTpK2WzPrp1Rr0ZVJNTXV8M2howYrZXFKNNapYegBOYCSf+5Xdu3YdK40fj06RPSZXBSgUsJpgYlJa+nT53EvDkz8d7XV/Xf6967H1q1aae1njyeTOGVjEWZHGttkxINGzdFp2491GMRERERxRXxvgd9VkVEREQUhIuLC+wd0mDa7Hm8LlFoiecCtG7ujovXb8PO3j7C9a9euYx8ObJi9nxPNciB/m6tmzXBvTu3cPjw4Zg+FCIiIoqlmGFHREREFEtJqagMYRgyoB9sbe0iNWyCiIiIiP5+2o1UiIiIiCjWkL51FUq74c2b15izcDHLPomIiIj+EQzYEREREf1hdRs0go+ff4TlsNLP7s2HLzh5/rLWkAYiIiIiitsYsCMiIiIiIiIiIopFGLAjIiIiiiGtmjZGWbeif931H9i3N/LndIatRXJYGidFrqwZMXr4UHz8+DHEups3rodL7uwwN0yMzI4OGDNyuJooG93rEREREf3NOHSCiIiIiH6Kr+87Vdab1tERenoJcfL4MYweMRQXLpzD4uWrNevt3rUD9WtVR4PG7hg2aiwuXjiPQf1648P79+g3aEi0rUdERET0t2PAjoiIiIh+yujxk7S+Lly0GD58+IAJY0fB29sbRkZGavmAPr3g4loYE6fOUF+7Fi6C976+GDtqOFq3bQ9TM7NoWY+IiIjob8eSWCIiIoozbv13E3VrVEHqlJaqZDJjGns0qFMDX79+Vfe/ffsWXTq0VSWcVsmTwdHeGrWqVsTNG9e19rPEcwEM9XVw+uQJ1K9dHdamhkhja4Vxo0eq+3ft2AaXPDnUPoq45MWF8+e0tpcyV7ltWLdGPZaZQSJVQrp3964Iz+Hlixfo0KYV0qWygWkyfbW9TIsN6vmzZ2jp3kitI/uW86hRuTxeeHkhpiQ3MVEfdXR01MdHDx/i0oXzqFm7jtZ6NevUw6dPn7B75/ZoWY+IiIgoLmCGHREREcUZ1SuVh5GxMcZNmgoTE1M8ffIYO7dv0/Q48333TgXvZPqqubkFXr9+hTkzZ6B4oQI4df4KLCwttfbXvElD1K7XAE2atsC6NaswsG8veHu/we4d29G5e08kTpwY/Xr1QL0aVXHu6k0kSPDjqdV//91A357d0atvfxgYGmLKhPGoWaUCDp88i3TpM4R6/BJQLFnUFZ8/fUKvvgNga2evgoPtWrfA5y+f0bR5q/8fVwM8fPAAg4eNhLVNSnh5Pcf+vXtUllt4AgOXEQl6HhHtz8/PD6dOHMfUSeNRr2FjJEuWTN13/doV9TFDxkxa29inSqWu2/Vr16JlPSIiIqK4gAE7IiIiihNevXyJO7dvYdnqdShTroJmefVaPzKyUlhbY8KU6Zqv/f39UbxEKaRJaYnVK5fDo10HrX3Wqd8QXbr3VJ8XLFQYWzZtwPTJE3H28g2ktLVVy79//47a1SqrbLy8+QtoZcEdOHYKztmyq68LFy2OzOkc1HCGOQsXh3oOM6ZMwqOHD3DszEU4pE6tlhUpVhw+Pj4YMWQQGrs3VxlsEiDrN2goatSuq9m2ctXqEV4jk6QJI3ElAR8//wjXuXrlMvLlyKr5unbd+ppSVfHm9Wv1UQKowcmyN29eR8t6RERERHEBA3ZEREQUJ0hJpn0qB9XnTEpDXQoVRurUaUKst3b1SkyZOB63bt5QgbBA/928EWJdt5KltLLOHFKnUQMOAoN1wjFdevXx0aOHWtvKsQQG64RkgZUqXRaHDx0M8xx279yB3Hnzw9bOTisbrniJkli8cL46xvQZnJA9Ry5MGjdG08ctg1NGxIsXL8JrtO/ICUQVuRayP7keJ44fw/jRI9TyGXMXRNljEBEREf2rGLAjIiKiOEECVuu37MCIIQMxoG8vvH71SgXNOnTuisZNm6t1tm3ZhMb1aqOlR1tVqmpsnBzx4sdH9Url8MnPL8Q+jYy0s7n0dPWgZ6SntUxXN+Dr4NubmZuH2J+ZuQWePX0S5jm8eOGlsgTDyoSTcxLzFy/DiKGD1JCH7p07wCpFCrg3a6nKdOPHD7tFcZaszogq+vr6yJ4jp/rcxbUQLC0t0bq5O5q3bqOWB2bCeb95E2JbWSbXXkT1ekRERERxAQN2REREFGekcnDAzHkLVZnqpYsXMGv6VDXAwc4+FYoWd8OalSvgWrgoRo6doNnm8+fPmnLLqBTaAIgXXs9haZUi3CxBS0srDB0VkD0XXFrHdJpg4NiJU9RNsu6WLvLEkIH91PJG7s3+SElscNn+H7yTgKME7NJnyKi+vn71CnLkzKVZ7/69e6rXXvoMAX38ono9IiIioriAATsiIiKKk9l2kk02bNRYLFowD9euXlEBu48fP0BXV/vpz9JFC1Uvu6h27+4dnD93VlMWK0Gl7du2oGgxtzC3Ke5WErNnToOdnT1MTE0j9TgSxOs/eCjmzZmpzvNPlcQGd+T/pb6pHAJ670nZcOYsWbFy+VLUbdBIs97KZUugp6eHYm4lo2U9IiIioriAATsiIiKKEy5fuogenTuicvXqcHBIA/9v/ljquRC6urpqYISQoE6ndh4YNWwIcufNh1MnT2DOzGkwNDKK8uORibMN69TUTImdPH4cfLy90aVHrzC3ad2ug+qxV6pYIbRu2x5p0jrC1/cdbt64gZPHj2LJyrWq717FMiVQo1YdOKZLhwQJdNUwDCkLlaBkeAJLWH/3Ovfp0RWVqlRTJcefP3/CkcOH1MCMUmXKamW/9Rs0BDUqV0DHtq1RpVoNXLxwHqNHDIVHu45aJcNRvR4RERHR344BOyIiIooTLCwsYZMyJaZOnIAnjx8hob4+MmbMjJXrNml6t0m56ONHjzB39gyMGz1CDW+Q++vVqBrlx5M2bTq08GiDwf37qmw7Cb6tWLsR6dKHXbppaGiInfsPY9SwwRg3eiSePnmsgomOjulRqWo1Te+4rM7ZsHDeHDx8cF9NjU3jmA5zPZegZOmyiG7m5hYwMTHF2FEj4PX8GRIlTqwCd0NGjkHDxu5a65YoVQaey1Zi5NDBamiGbNuley/Vay861yMiIiL628X7Lk1eiIiIiELh4uICe4c0mDZ7Hq/PTyjrVlR93LJrL68bhdC6WRPcu3MLhw8f5tUhIiKiUIU9RoyIiIiIiIiIiIj+OAbsiIiIiIiIiIiIYhH2sCMiIiKKYiyFJSIiIqLfwQw7IiIiIiIiIiKiWIQBOyIiIiIiIiIioliEATsiIiKKEw4d2A9DfR3cv3cPf+tkWTl+uY0ePlSz/PGjR+jWqT3cCrvA0jhppM+xQ5tWat1WTRv/0nryGIHHE/zm7e39S+c4qF8fVC5XCqmszdV+lnguCHW9zI4OoT7u5o3rw7xmQW/TJk/UWk/OLbT1enTpqLVelfKlNfdFdN2IiIiIohN72BERERHFEiVKlUa3nn1gbZNSs+zO7VtYu3olnLNlR4GCrti9c0eE+zl+9AhWLlsCAwOD316va4/eKFm6jNayZMmS4VfMnDYZmbM4o1Tpsli62DNS1yKoNI7pQqyXxTkbxk2corXM1s4+xHoWlpZYsmJNsGVWWl+PGDMePt7eqFuzaqTOh4iIiCi6MGBHREREFEuYmpohV568WsskSHfrwVP1uWSkRRSw+/Lli8qa69y9FxbMmfXb66VycAhxTL/qodcbxI8fX2XvRRSwC+1ahMYgmUGk1kuolzDC9RzTpdesS0RERBSTWBJLREREMWLV8qWq9PDG9Wsh7pPyz/Kl3NTn379/R99e3eGSOztszIzgYGOh7jt14niEjxFa2WVgqaeU0Aa1cf1aFHPNr8pObS2So2HdmqocNaZJgOtnTBw3Bv7+/mjXsXOUrBeT50JERET0r+KzJiIiIooRZStUQtKkSbF8yWKt5Xfv3MHJ48dQs3Yd9fW3b9/g9eyZCiwtW70e02bNRXKT5ChdvDCuXL4UJccyd/YMNKhdAxmcMmLR8lUYN3kaLl+8iLIlisLX1zfcbSXo9fXr1whvEniMbrdv38KYEUMxduIU6Orq/vZ6QoKlyZPoIaW5MWpXq4RrV6/gT9iyaYMKnpoZJELxQgWwbcumUNc7d/a0CuSaJE2I/DmdsXjh/FDXe/bsKexTmKlzyZ4pPSaNH6t+toiIiIhiI5bEEhERUYxInDgxKlSqgtUrlqHfoCGIFy+eWi491RIlSoQKlQP6iOno6GDmvIVaAbLiJUoht3MmeM6fi5FjJ/zWcUhAbkDvnmjQ2B2Tps3ULM+RMzdyZXXC0kUL0byVR5jbVyjlhsOHDkT4OJt37EHBQoURnTq1bY3yFSvDtXCR314vYcKEaNy0OYoWd1PlqTdvXMfYUSNQorAL9h05gTRpHRFdSpUth+w5csLOPhW8vJ5j9vRpqFW1EuZ6LkG1GrU06+V3KYjqtWqrY/Hx8cayJYvg0aIpvLy80Klrd816mbM6wzl7DqTP4IRPn/ywacN69OvVXfUHnDBlerSdBxEREdGvYsCOiIiIYkzNOvVUL7Ojhw+pXm1i5fKlKF2uvNYghH17dmPsyOG4fPki3rx+rVlunyrVbx+DZPO9ffsWNWrVUZlwgVLa2iKtYzocOXww3IDdhKnT8e7duwgfR/YVnVYsXYxzZ07j9MVrUbKepZWVVjBLgmMSKM2bPbP6XkyfE3omW1QYPX6S1tcSXJRy5YF9e2sF7Hr3H6i1XtnyFVG3RhWMHj4ELT3aqqCwaN22vdZ6JUqVUdmd06dMQofO3aLk54iIiIgoKjFgR0RERDFGMrxSWFtjxbIlKmB35vQp3PrvJoaNGqNZ5/y5s6heqRwqVakGj/YdYGZmjvg6OmjXqjk++X367WN4+cJLfZTy19CYmpmHu71D6jSRKneVTMHoIlmCvbp3QfvO3aCXMCG8vb3Vcin5/Pz5s/paAlR+fn6RWi9BgtCfItqkTIm8+Qvg7JnT+JPk2sn3v3/vHnj54gVMzczCXLdqjVrYvHGDKt3NkTNXmOtJ4G/a5ImqpJYBOyIiIoptGLAjIiKiGCNDCKrXqoMFc2errCoph5VgTDG3kpp1Nq5bC5uUtpizULvX3etXr2BoaBTu/qWs89Mn7aDe69evtL5ObmKiPs6atxBp/z8lNKhkyZKF+xixoST21cuXKpA1qF9vdQtq9crl6rZm4xakdUwfqfUkky48geXLMSGyjx3V6xERERH9SQzYERERUYyqVaceJo4drYYMrF29ElWr19TK8Pr48UOIjK+9u3fh8eNHSOWQOtx9p7S1w9Url7WWbd+yWevr3Hnzq6CcDLuQEt2fFRtKYi0sLVVAMLgmDeogc5as6NilOzJmzqJKRCOzXlgePniA40ePoOL/+wv+KVKqLD8b0tPOxNQ0wunDSZIkUQNEwiOl1xKsy5Y9ZxQfLREREdHvY8COiIiIYpRTxkxqKEDv7l3g9fw5atauq3V/sRIlVelit07tUaZcBdy4fg1jRg5TpbQRkeDfpPFjkDpNWjVw4PDBA1i3ZpXWOtIrb9CwkejasR2eP38Gt5KlkCyZAZ4+eYyDB/ajSLHiaj8x1ZtOrF+7Wn08d/aM+rhr5zY1CMLWzl4NZ9DX1w81e08/oT4sLCy17ovsevL9kFLZ3HnzwcTEFDdvXseE0aNUOXKn7j21ts/s6KCOZcuuveGeh1z/ly9fqFvg+SRJmlQF2NxKllbLZAjJls0bUaJkaVjbpNQMnbh4/hzmL16m2Zf0PRw/ZqTqbyePrYZOLPbEti2bMWTEaDW4RDy4fx8tmjRElRo1kTp1Gvj5fcSm9evUgIpmLVvDzt4+kt8FIiIioj+HATsiIiKKFVl2EiCSaZ85cuXWuq+4W0mMGjcRUyaOx8J5c5AhYybMmueJMSOGRbjfTt16qECOBHbe+/rCrVRpzJ7viaIF82mt16RZC9WfbdK4sSpDSzK6rFJYq0ELknkW0xrW0Q4Ydm7XRn2sU69BtA1/kADn3NkzsWTRQnXtJLPNtVAR9OzbXwW+gnr/4T3MLS0i3OfwwQO1yodnz5imbra2drh0845aJll0L7xeoG+v7mrAiATzsuXIibWbtqmJtYEsrKxUQHHY4AGqJFhXVxeZszhj3qKlWgHWpMmSwTi5MSaOGaWCf1KG7Zg+A8ZMnAz3Zi2j6GoRERERRa143yPTJZmIiIj+SS4uLrB3SINps+fF9KHEeWXdiqrJtFNmzlFDFv6W3moyJCRH5gzYe+hYiGDr30YCgHLL5uQIF9dC0RYMbd2sCe7duYXDhw9Hy/6JiIjo7xc/pg+AiIiIiAJImaZJ0oSRyh6MLaTMVcqG//ZgnahWsay6/g8e3I/pQyEiIqJ/HEtiiYiIiGKBoMMrUqSIuD9fbNHIvZm6xQUyqdjHx0d9Ln37iIiIiGIKA3ZEREREscCfGF5B4ZPhJERERESxAUtiiYiIiIiIiIiIYhEG7IiIiOifHvTQqmnjmD6MOHOdZB1ZN6os8VyAbBnTqb5ymR0d1LKPHz+iRZOGcLCxgKG+jpo8S0RERBTXsCSWiIiIiMI1dtIU6Okl/KNXyev5c7Rr3QI1a9fFtFlzkThJErV87qwZWLViGabPngeH1GmQwtrmjx4XERER0Z/AgB0RERERhSt9Bqc/foXu3L6Fr1+/omadeshXwEWz/Mb1a7CySqGWExEREcVVLIklIiKiOOvihfOoXa0S7KxMYWGUBLmdM2H6lElhrv/o4UN4tGgKZydHtX7GNPZo2rAenjx+rLXerf9uom6NKkid0hLmhonVeg3q1FABJuHr64uuHdup5WYGidR6FUqXwM0b1/EnSFmq3DasW4NcWTOqY8if0xl7d+/SWu/o4UOoU70y0jukVOebM4sTBvXro8pOIyqJPbh/HwrmzanOP2uGtJg3e2akj++/mzfU49paJFePW8w1P3bv3K65Xx6rZFFX9XmF0m6a0lf56Dl/Lh49eqg+l9v9e/d+8SoRERERxV7MsCMiIqI46cypkyhboijSpHXEyDHjYZXCGjdv3sD9e3fD3ObFCy8YGRlh0LARMDExxdMnjzFpwjiULFIQpy5ehb6+vlqveqXyMDI2xrhJUzXr7dy+Dd++fVP39+zaCdu2bEK/gUPU5NHXr1/h+NEj8PH2DveY/f398f379wjPLUGCiJ/C/fffDfTt2R29+vaHgaEhpkwYj5pVKuDwybNIlz6DWkeuRY5cedCgsTuSJEmK69euYuSwwbh79zbmL1oW9r5v3kDVCmWQI2duzFu0FJ8+fcKIIYPw3tcXqRxSh3tcT588UcE4AwNDjJkwGckMDDBr+lR1TVet34TiJUqha88+yJ4rN7q0b4MxE6fA2TmbKn0tXqIkRg0fggvnz2HJijVqf5ZWVhFeCyIiIqK/DQN2REREFCf16dENpqZm2HXgCBIlSqSWFSoS/kCEbNlzqFvQAFqefAWQyTEVdu3YhvIVK+PVy5eqXHPZ6nUoU66CZt3qtepoPj914jhq1KqjAmGBZNuIOGdIiwcP7ke43sXrt2Fnbx/uOs+fPcOBY6fgnC27+rpw0eLInM4Bo4cPxZyFi9Wy2vUaaNaXQKGUniZLlgwtmzbG2AlTkNzEJNR9jxo2RAUB127ehsSJE6tlefLmh7NT2ggDdlMmjVeBy72HjsM+VSq1rESpMir7ccjA/ipg55A6NR4/Cggqpk+fAbny5FWfW9vYqO9pQr2EmmVEREREcREDdkRERBTnfPjwAcePHUGnrj00wbrImjNrOubPnoW7d27j/fv3muX/3bypPkoQyz6VAwb06YUXXl5wKVQYqVOn0dpH9hw5sWTRQpiYmqFIseLI6pwNOjo6ET728rUbVLZaRKxSpIhwHTnGwGCdkMBaqdJlcfjQQc2yt2/fYszIYdiwdg0eP3qIL1++aO67feu/MAN2J08cV/sKDNYJm5QpkTdfgQgzBKUMV9YLDNYJuTbVatRS2X1yzZP8f8AEERER0b+KATsiIiKKc7zfvFHlqSlsrH9qu5nTpqBXt87o0r0X8uYvoLLIvn/7pnqsffLzU+vEixcP67fswIghAzGgby+8fvVKBcc6dO6Kxk2bq3VGjZ8EcwtLLFowD4P69YZx8uSoW78h+gwYHG4AUYY7RFVJrJm5eSjLLPDs6RPN162bN8HJ48fQrVcfZMiQEYkSJ8aZ06dUKarf/883NLIP2VeI/VuYw+vZ83CP683r10iVwyHEcnNLC3Xukn3HgB0RERH96xiwIyIiojhH+svFjx8fTx//CE5FxpqVK1Crbn307Ntfs+zO7dsh1kvl4ICZ8xaqANOlixdUD7YObVrBzj4VihZ3Q9KkSTFgyDB1e3D/vhr+MKBPTyRMqI9+g4b8kZJYyf4Luew5LK0CsvMkILd100ZMmzVXnXOgyxcvRPj4sg/ZV4j9Pw/5mMFJ8FLKdYOTQJ8EQw2NjCLcBxEREVFcxymxREREFOdIqWa+/C5YsXRxuJliwX34+AG6urpayxYvnB/m+hJgypLVGcNGjVVfX7t6JcQ6tnZ2aNuhE5wyZca1q5cjLIndd+REhLfIlMTeu3sH58+d/XFuHz5g+7YtyP3/3m9Seis9+hIEOV8JQC7xXBjhvvPkzaf2JfsMOmFXypAjUqCgK04cP6oCmYHkONauXgnn7DmYXUdERETEDDsiIiKKqwaPGIWybkXgVtgFbdp1UFNipS/bnTu3MXjYyFC3Ke5WEtOnTEQGp4xwTJcee3bvVFloQV2+dBE9OndE5erV4eCQBv7f/LHUc6EK9BUsVDhgP4UKoHTZ8siYKZOavnrk0EGVudagUZNwjzljpsxRdv4WlpZoWKemZkrs5PHjVLlplx691P2GhoZqcMOgfn1UNqIEORfOm4Pnz0NmvwXXtWdvrFuzClXKlUabDh01U2LNQymTDc6jbQcsXbQQFcuUUMcmU2Jnz5iGW//dVFNiiYiIiIglsURERBRH5ciZC9v3HsTQgf3QpUNbNVBBSlbdm7cMc5vuvfvCx8dbDT+QnnWSDbZ20zZkzfBjqISFhaUasDB14gQ8efwICfX1kTFjZqxct0ll24n8LgVVQGvCmJEqe0x63I0cOwHNWrbGn5I2bTq08GiDwf37qmy7NGkdsWLtRqRLHzB9VcxduASd2rVG25bNoJ8oESpXrY5G7s1Qo3KF8PftmA6rN2xBn57d0LhebRUMlR5+Mh03aOZcaCQ7cMfeg+jfuwc6tfNQwb7MWZ1VsE4mxBIREREREO97ZDobExER0T/JxcUF9g5pMG32vJg+FPoJZd2Kqo9bdu3ldYuFWjdrgnt3buHw4cMxfShEREQUS7GHHRERERERERERUSzCgB0RERGFi8n4RFGLv1NEREQUkQS8RERERBRWUEEmrMrkVPq7sBQ2dnv/4b3q3Se/YzJpmIiIiCg4ZtgRERGRFh8fH0yZMgUZM2bEmTNncPTwIXz79o1XiSgKyO+S/E6dPn1a/Y7J75r8zhEREREFxYAdERERKRcuXEDLli1hbW2Njh07IlOmTJg4cSK8nj9XE0+J6PfJ79ILLy/1uyUBuw4dOqjfOfndk99BIiIiIsEpsURERP8wKctbs2YNpk2bhiNHjiBFihRo0aIFmjZtqj6XbKAaNWpg48aN6NC5GypWqQr7VA7Q1dWN6UMn+mt8+fIF9+7ewYa1azBh7ChUqFABK1euRPz48fHkyRPMnj0bs2bNUp8XKFAArVu3RtWqVZEwYcKYPnQiIiKKIQzYERER/YPu37+PmTNnYs6cOXjx4gWKFSumggTly5cPEYyTYINk3C1evJile0S/wdDQEPXq1cP48eND/T3btGmTCp7v2bMHZmZmKnAuAXQ7OztedyIion8MA3ZERET/CMmW27lzpwoIbN68GQYGBmjUqJEqxUufPn2ksvGOHj2K58+fw9/f/48cM1FcoKOjAwsLC+TPnz9SWXPXr1/H9OnTsWDBArx79w7lypVTAfUSJUqorDwiIiKK+xiwIyIiiuNevXqF+fPnqwDAnTt34OzsDA8PD9SuXRtJkiSJ6cMjojC8f/8ey5Ytw9SpU3H+/Hk4ODigVatWaNy4MUxMTHjdiIiI4jAG7IiIiOKg79+/49SpUyqbbvny5errmjVrqiydPHnyIF68eDF9iEQUSfL7e+LECfX7vGLFCvX7W6tWLfX7nCtXLv4+ExERxUEM2BEREcUhHz58UBk5kk135swZ2NvbazJypCcWEf3dpOdkYMbsvXv3kCNHDhW4kwBe4sSJY/rwiIiIKIowYEdERBQH3Lx5U9PzysfHB2XKlFEv4kuWLKn6ZxFR3CJ9JHfs2KGy7rZu3aoGWkhgXnpSOjo6xvThERER0W9iwI6IiOgv9fXrVzU8Qvpb7d69G6ampnB3d1dTJVOlShXTh0dEf8jdu3fV1Oe5c+fi5cuXcHNzUwF7GVaRIEECfh+IiIj+QgzYERER/WWePn2KOXPmYNasWXj06BHy5cunXpxXq1YN+vr6MX14RBRD/Pz8sHr1apV1d+zYMdjY2KgAftOmTWFpacnvCxER0V+EATsiIqK/pOn8wYMH1QvxtWvXQk9PD3Xr1lX96bJlyxbTh0dEscy5c+dUmfySJUvw+fNnVK1aVf29cHV15ZAKIiKivwADdkRERLHY27dvsWjRIhWou3r1KtKlS6ey6Ro0aAAjI6OYPjwiiuW8vb3h6emp/obcuHEDTk5O6m9I/fr1YWBgENOHR0RERGFgwI6IiCgWunTpknqBvXjxYnz8+BGVKlVSL7KLFCnC7Bgi+qUs3X379qm/K+vXr0eiRIlU0E6y7jJnzswrSkREFMswYEdERBRLSNnamjVr1Avqw4cPw8rKCs2bN0ezZs1gbW0d04dHRHHE48ePMXv2bNUHU3piuri4qDcEpGxWyu2JiIgo5jFgR0REFMMePHigJjzKIAkvLy+VRScvnitWrAhdXd2YPjwiiqO+fPmCDRs2qDcJJPvO3NxcDaiQQRW2trYxfXhERET/NAbsiIiIYsC3b9+wa9cu9UJ58+bNSJo0KRo2bKjK0zJkyMDvCRH9UdeuXVNDKhYuXAhfX1+UK1dOvXHg5uaG+PHj87tBRET0hzFgR0RE9Ae9evUKCxYsUC+Mb9++jaxZs8LDwwO1a9dWQTsiopgkwbqlS5eqNxMuXLiA1KlTqzcSGjdujOTJk/ObQ0RE9IcwYEdERPQHnDp1Sr0AXr58ucquq169uspeyZcvH4dIEFGsHFJx7Ngx9Xdr1apVKsuuVq1a6u9Wrly5YvrwiIiI4jwG7IiIiKLJhw8fsGLFCvWC9/Tp07Czs1OZKk2aNIGZmRmvOxH9FaS35rx58zBjxgzcv38fOXPmVIG7mjVrInHixDF9eERERHESA3ZERERR7L///lMvbOfPnw9vb2+ULl1avbgtVaoUdHR0eL2J6K/k7++Pbdu2qTchtm/fDiMjI1Uq27JlS6RNmzamD4+IiChOYQdZIiL6JfHixYvwVrhw4X/m6n79+lVNWyxZsiQcHR1V4/ZmzZrh1q1b2LJlC8qWLctgHRH91eQNBxlGsXXrVvW3Tf7Gyd86+Zsnf/vkb6D8LYxNBgwYEOb/qGfPnkVqH/fu3VPr79+/P9qPl4iIKFACzWdEREQ/QXobBVW5cmVkz54dffv21SwzMDCI89dUXvDNnTsXM2fOxMOHD5E3b154enqqHnX6+voxfXhERNHCwcEBI0eOxMCBA7Fy5UqVdVepUiWkTJkSLVq0QNOmTWFhYRFr/2cJExOTGDkWIiKiyGDAjoiIfokEpoJKmDCh6ssWfHlQnz9/hp6eXpxoxn748GH1AnXNmjVIkCAB6tatq/rTSdCSiOhfIW9MNGjQQN3Onj2rJmAPHTpUBfKqVq2q2gG4uLjE+HCd8P43ERERxUYsiSUiomgRWEIkmWedO3eGlZWVemHn5+eHRo0ahVouK8vkvqDu3r2LOnXqqGCgbC8BsY0bN8bId+3t27cqSJclSxa4urqqF6ejR4/G48ePMXv2bAbriOifJn+f5W+h/E2Uv43yN1L+VsrfTAnkvXv3DrHNqFGjkCdPHhgbG6uefPnz51clvxHZsWOHWtfQ0BBJkyZFunTpMGjQIK11Lly4gAoVKqj9JkqUSAUujxw5Eo1nQ0REcQkDdkREFK3kBcyDBw8wZ84crF69Grq6upHeVkpM5YXU5cuXMWHCBNUfKXPmzKrsSvrC/Sny+JIlYm1tjXbt2ql+Tbt378b169fRvn179UKPiIgCyN9E+dsofyPlb6X8zWzbti1SpEgBDw8P9Tf1T5PeekFv3759U8tl6q0MzZBs6eXLl8PZ2Vn1HJWhGmG5c+eOCsSlSpVKTQKX/00dO3aEr6+vZh0JVkpATwYPBf7/k+BesWLFcP78+T9yzkRE9HdjSSwREUUr6We0atWqX24WHj9+fBw4cEATFJPG5o8ePUL//v3Vi6roIuW7a9euVRl1hw4dgqWlJTp16qSarNvY2ETb4xIRxRWSZS0BKrnJ323Jvps1a5b6uyqZd/JGiPQ//ROtEoK/WSR99mSa99SpUzXLJIhXvHhxNelbMgJlsndoJBgn/yNkncBerXKOQXXt2lUF9Pbs2aN5bPn/lSlTJgwZMkQF8IiIiMLDDDsiIopWFStW/OVtJcNBgnLJkiXTyowoXbq0esH0/v17RDXJBuzTpw9sbW1Ru3ZtNRVRGqrLcunJxGAdEdHPk7+d8jdU/pbK31R5M6ZWrVrqb60MK5KM6uh06tQprVuvXr3U8jNnzqjJtzIgQ/qRSnBNsgJv3LgR5r4kC0/Wk+OXzLwXL15o3f/x40f1RlONGjVU0DLwf5eQgODBgwej9VyJiChuYMCOiIiilWSm/SovLy/MmzdPvTAKepPMBRn88Pr16yg5Rsmq2Llzpyq1lYyISZMmqSmvV65cwb59+9TnP1PKS0REoZO/pfI3Vf62SmmsfD5x4kTY29urbLtdu3ZpylWjUs6cObVuEiiUIKFkxkkwTbLljh49qoJ5klkn/VbDkiZNGtXDTo6zXr16KtgnQy0kG1vI/yZ/f3+VCR78/5dk9L169Yo/HkREFCGWxBIRUbQKbTKgDI/49OlTiOXyIkZetAUyMTFRgyi6dOkS6r7lRdLvkBdVCxYsUC/Ubt26pfrjSamWTHyVJuJERBR9MmbMiMmTJ2P48OFYsmSJCmaVKFECadOmVVO3ZQhRdPYIlSxuKW2VQUZBy3KD9qILS5EiRdRN/pfJIIl+/fqhTJkyqieeDJmQDELpeSr/T4iIiH4FA3ZERPTH2dnZqf498kInYcKEapn0DJISpBw5cmjWkyyHEydOqJ4/EuSLKqdPn1aBuWXLlqksCMnwkMCdNAgPLcBIRETRR94gkZ5yzZs3V1lu8ve5e/fu6N27t2pNIL3ugv5viCofPnxQbQ8kuBZIBmUcO3Ys0u0P5H9Y0aJFVZBPWkBIwC5btmwoWLAgLl68iHHjxvH/ChER/RIG7IiI6I+TAJn0LGrYsCHc3d3x9OlTjBgxAqampiEmzObOnRuFChVSkwUl0PfmzRtcunRJ9UGSBuaRJT2FZJqfvBCUkicph5KMCHl8c3PzaDhLIiL6GfKGSYECBdRNAl3SEkEGQ8hH+V8ggTvpC5coUaIoubDST04yuOvXr6/+F8j/FSljlf8P4ZXlyjFJHzrJqJPBSi9fvlRZghLkc3JyUuvI8ctgDXnjqUmTJqo9hKwnbxjJeQ4bNixKzoGIiOIu9rAjIqI/Tvr/SIad9C+qUKECxo4diwkTJsDR0VFrPXnRJC9upFS1Z8+ecHNzU2VS0idISpEiQ0pd5QWZtbU1GjdurMpspfzpzp07ap8M1hERxT7S8kD+RsvfavmbnTx5clUiK0Ex6WN6+/btKCnJlVLcc+fOqcET8r9o9OjRKtAWnqxZs6qhR3J8UsLbpk0bpE6dWk2EDcwaz549u3pzSEp627Ztq9br0KEDrl27FuH+iYiIRLzv0rWbiIgoDpEy1y1btqhsOmkMLi/0JMOhZcuW6kUVERH9feQNmJkzZ6qMO+lBKtlrknUnmW5S2kpERBSXMGBHRERxxvPnzzF37lz1gk5Km6KjhIqIiGKWtDhYuXKlelPm5MmTKhtb3pBhiwMiIopLGLAjIqK/miSKy4Q+eeEmZbaSZVGnTh1VOpszZ86YPjwiIopG0jZBJn0vXbpUZVdXq1ZNvVEjffA4RIiIiP5mDNgREdFf6d27d6r3kATqZAhF2rRpVZBOehxJzyAiIvp3SInswoULVfBOpo5L71MJ3NWtWxfJkiWL6cMjIiL6aQzYERHRX+XKlSvqBZmnp6dq+i1DK+RFWbFixRA/PmcpERH9y2S6qwx/kDdzZFhFkiRJ0KBBA/WGjgyZICIi+lswYEdERLHe58+fsX79evUC7MCBA2p6YLNmzdC8eXOkTJkypg+PiIhioYcPH2LWrFmYPXu26nFaqFAh9QZPpUqVoKenF9OHR0REFC4G7IiIKNZ69OiR5sXWs2fP4Orqql5sVa5cmS+2iIgo0m/6rFu3Tr3pc/DgQVhaWmre9LGxseFVJCKiWIkBOyIiinXlTHv37sXUqVO1yplkAmCmTJli+vCIiOgvdvnyZU1bBZk2G7StAodUEBFRbMKAHRERxQpv3rzBggULNA3DJTjn4eHBhuFERBQtg4sWL16ssu4kiOfo6Kj63DVs2JCDi4iIKFZgwI6IiGLUmTNn1AumZcuW4evXr6hWrZrKdihQoACzHYiIKFp9//4dR44cUf+HVq9ejQQJEqBOnTrq/1D27Nl59YmIKMYwYEdERH+clCGtXLlSvUA6efKkGhwhJa/u7u5qoAQREdGfJr1S586di5kzZ6qBFXny5FGBuxo1akBfX5/fECIi+qMYsCMioj/m9u3bmDFjBubNm4fXr1+jZMmS6sVQmTJlVFYDERFRTJNs7y1btqgWDTt27ICJiQmaNGmi3lhycHCI6cMjIqJ/BAN2REQUrfz9/bF161aVTbd9+3bVG0he+LRo0QJp06bl1SciolhLeqpKxp280eTt7Y1SpUqpN5pKly4NHR2dmD48IiKKwxiwIyKiaOHl5aUpLbp//z5y5cqlXuTUrFkTiRIl4lUnIqK/qpXDihUr1ATz06dPw87OTmXcyRtQ5ubmMX14REQUBzFgR0REUdq8++jRoyqbbtWqVSr7oHbt2mryngTsiIiI/nanTp1S5bIyLOnbt2+oXr26ekMqX758HJZERERRhgE7IiL6bb6+vliyZIkK1F28eBFp0qRRQbpGjRohefLkvMJERBTnSC/WBQsWqODdrVu3kDVrVhW4kymzSZMmjenDIyKivxwDdkRE9MuuXr2qXqgsXLgQ79+/R/ny5dWLleLFiyN+/Pi8skREFOdJlt3u3bvVm1abNm1SwbqGDRuqN64yZMgQ04dHRER/KQbsiIjop3z58gXr169XL0z279+vevc0a9YMzZs3h62tLa8mERH9sx48eIBZs2Zh9uzZqpdrkSJF1BtZFStWhK6ubkwfHhER/UUYsCMiokh59OiRegEit6dPn6JgwYLqRUiVKlWgp6fHq0hERPR/nz9/xtq1a9WbW4cOHYKVlZV6Y0ve4LK2tuZ1IiKiCDFgR0RE4Q6R2Lt3r3rBsWHDBjXdtX79+qrMJ3PmzLxyREREEbh06ZJqH7Fo0SI1bbZSpUrqDS/JvosXLx6vHxERhYoBOyIiCsHb21v1pZMXGDdu3EDGjBnVi4t69erBwMCAV4yIiOgnvX37FosXL1Zvgl25cgXp0qVT/1sbNGgAIyOjULc5fvy4Ws/Y2JjXm4joH8OAHRERaZw9e1YF6WTiq/Sqq1q1qnoxIeWvzAIgIiKKmux1KZOVwN2aNWtUW4m6deuq7PVs2bJprSvZ7Pr6+qpnbJIkSXj5iYj+IQzYERH94/z8/LBy5UoVqJN38m1sbNCiRQs0bdoUlpaWMX14REREcdazZ88wZ84czJw5U/WKzZs3Lzw8PFCtWjUVqJM30lxdXdX0dQnu6ejoxPQhExHRH8KAHRHRP+rOnTuYMWMG5s2bh1evXsHNzU1l05UrVw4JEiSI6cMjIiL6Z3z9+hWbN29WWXe7du2CiYkJ3N3d0bJlS1y9ehUVKlRA27ZtMWHChJg+VCIi+kMYsCMiimNP+H19fcPshePv74/t27dj6tSp6qOhoSEaN26sXhA4Ojr+8eMlIiIibTdv3lRvqM2fPx8+Pj4oXbo07OzsVCa8BOzat2/PS0ZE9A9gwI6IKI6QyXNSMiPvym/cuFHrvhcvXmDu3LnqBcD9+/eRPXt2VXJTq1YtJE6cOMaOmYiIiEL34cMHLF++XL3JJqWxMvTp3bt3WLBggRpUQUREcRsDdkREccC3b99U8E3KaaQxde7cuVVT62PHjqnymlWrVqmhEbKOlL3mypWLQySIiIhiIS8vL4wdOxbPnz9XLStev36NJ0+e4OnTp/j06ZP6//3582e2ryAiiuPYpIj+SFq/BBHkSYaU6xFR5EgfOSsrK9VTLqJy1Z49e2L16tWqIbWTkxNmzZqlAnUXLlyAg4MDhg4dqkpfJfuOiIiIYvcgCuljJxnw8n9bngPIMIrkyZOribKSaRe016w8v963bx+OHDmCt2/fqjfsiCh2kAC7/M4WKFAARYoUYaCdfgoz7CjayBOGypUrYe/efUiUSB/WVpbQ09XlFSeKpM9fvuDx02f4+NEPRYsWwbp169U//OCkzLVVq1bo0aMH3r9/j4ULF6qSGQn0STZdiRIlED9+fF53IiKiOEay6qtVr45XL1/CILkZkhgmRzz+zyeKNb5/+4b3Pq/x9vULmJiaYvWqVShcuHBMHxb9JRiwo2ghje0LFnTBtatXMXVEf5RzK6KCdkT0cz58/Igtu/bDo8dAZHBywqFDh6Gjo6O5X3rVVapUCdbW1nj06BHMzMzQtGlTNG/eHPb29rzcREREcdTp06fhWqgQUjrlQlmPgbB2zMp2F0SxkGS9Pr55AVum9sfDq6dw6OBB5MiRI6YPi/4CDNhRtDhw4IB652Drsjko7pqfV5noN+0+eBRlajdVv1uurq5q2b1791S5qzwJkKmwmTJlgrOzswraSdmMra2tyrJjdh0REVHcI60utuw+gM6LjkI3YaKYPhwiisCXTx8xpl4+lC9RBPPmzeP1ogixhx1Fi/Xr18MmhSWKuuTlFSaKAvK7JL9T69at0wTsJDBXqlQp1c9GSGPqvXv3qubU8rlk4l2/fh12dnb8HhAREcUh8mbd+vUbkLOiO4N1RH8JCaxnLVYV69bNw9y5c5kRSxFiwI6ixf3795EpfVpm9hBFEcmSy5gujfrdCpQkSRJs3bo1zCfy0oRal30jiYiI4hzpVevt/QZWaTLG9KEQ0U+Q31n53ZXf4dB6UxMFxS7kFC1k1Hxg1g8RRY2ECROq363ITqRisI6IiChuCnw+kECXz7eJ/ia6egnVx8g+p6d/GwN29McNGjsFetZOvPIUI954+6B55z6wzJgPRmlyoHQtd1y+/l+E2z18/BRVm7RBmtzFYJA6G6wy5Ufxag2xY98hrfXOXLiMVt36I5NrWRimzq7Wb9S2O+49fBxin2nzFFe/C8FvG7bvjtJzJiIiIvqXXDqwGQdXTPvp7U5uWYLO+Y3wt5Ljl1twO+YMx5AqmREXfPP3x675ozC0ahZ0K2SO4TWyR/p7/fT2Vawa2QHjmxRW24b3vb515iAmtyyF7oUt0aekPZYObI53r7201vF7/w4bJ/fBtDbl0NvNVu3v1lnt1wZEv4MlsUT0z5Ay0cqNPPDw8RNMHNYXRgbJMGrKbJSo3ghndq+HlYVZmNu+//gRyY0MMaBbe9hYWeCtry/mLVmNCvVbYvW8yShfoqhab+WGrbh64xbaNKkHp3Rp8PjZcwybMAP5y9TAqZ1rYW1lobXf0kVd0atDK61ljqk53ZWIiIjoV10+tAW3zx6Ga83WP7WdU/6SaDdr11974U9vXao+5i5bV2t5ngoNkLFgGcQFa8Z0xulty+DWqCtSOuXA7bOHsGlKX3z68B5ujbuGu+2jG+dx7dgu2KTLigR6+rh38Xio6905fxQzO1RB+nzF0WiYJ977vMb2WUMwo21FdJy/Hwn+nyX34e1rnNy8SE1odsxdBBf3bYiWc6Z/FwN2FCd9+vQZCRPqRXp5bBCbjy2Qv7+/CnolSBC9fzqev3iJRPr6MEiWNEr3u2nnXhw9dRZ713rCJU9OtSxvDmc45nPDuOnzMHpA9zC3TZ/GAbPHDdVaVqZYITjmLYGFK9ZpAnZdPJrCzCS51nr5c2VT681fvgZ9Omo/cTQ1SY48ObJG4VkSERER0a9IamyqbrHF1y+fo6Ts2cjcWt3+lG/fvuH1k/swtUkVpft98+whTmzyREn3nijeqItali53EZXptnvhWBSo2hSJDYzD3D5HqVrIVaaOJuswrIDdznkjYWKdCo2HL0F8HR21zMI+HSa4F8GJTYvU4whjS1sM2RHQX1oy6xiwo6jGkliKMVKGWLRKfVVe6JCzKCbMXBBinVPnLqJUzSYwTptD3eRzWRaUe4deqrRQAjEFy9dW+xs4dgoOHD2pKS9s1qm3KoFMm7e42ubtO1+07z0EdtkLIWmqrOodp4mzFqpgVGBgyixDHpV9FejEmQtqf5Ua/MiGkt4DUvY4ec4izbIXr17Do/sAte8k9lmQuVA5zF+2RuuYPVesU/uSY67RrD1M0+dW5ZWRsXP/YbhWqKO2kWsixz5kvHYa+PnL11ClsQcsMuZV1yNL4XJaxyjnKecr28r5y7HK9ZDrEpQc48AxkzFi0kxV2pnEPitu3Xug7lu3dRdcytVS5y/XqnaLjnj05Bl+1cePflixYSsq1m+JVDmL4s79h4hqm3fug621lSZYJwwNkqFs8SIqmPezJHBpYJAUCf7/j1wED9YJOxtrmCY3xpOnz3/j6ImIiIgiJoEIKc2T8r+prUqrkr5BlTLiwLIpWuu9ef4IK4a1wbDq2dQ6gytnwuIBzeDz4olmHQlAyL6e3Loc4nEmNCmCWR2rqs9fP72v1ju+YSE2TxuA/mXToldxGywZ0Byf/T7g5aM7KmOpZzFr9Xhntq8Isb8n/13C3G610LuErToeKUe8GyygsmxIK1Xa+fDaOUxqXgI9ilhhZO3cuLB3vdY6p7cuU8EdOSa5TfMo+8slsfK1XNP9Syera9SreErM7lRN7T+4Y+sXYGxDF00Z5fS2FfDoxoVIPXbgNTy2fj42TuqNAeXToUdhC3z55Ke+l4v6uWNI5Uxq38OqOWPN6M748NZbs72c4+1zR9Qt8LzlWoRVEvv25TMsHdQCfUs7oHthC4xpUCDU78vPeH7vBrZMH6jKVTdO7o2o9uDqWXz/9g3p87lpLU+ftxi+fvZT2XMRDXGLjPtXTsMxd2FNsE6kzJANiQ2T49LBzVo9o4miEzPsKMZUd2+DpvVqoEe7Fir4023QKBU8aVw74B//xas3UKxaQ2RMlxZzxg9Ty8ZMm6uWHd60HFmc0mn29drbBw3bdEPnVu4Y0rMjkiROhPcfPqr7JBBVtnhhLJo2Bn6fPql3fCo2aKmCWgO6tlNli1t370fXgSNVsE2219HRQYFc2XHw2Cl0a9NM7Wf/0RMq6+vwyTMqoCfrnDx3ER/9/OCaL5daRwJehSvVU4G8/l3aws4mBbbvPYSWXfvh8+cvaNGwltY1aODRFbUql0PLBrXg/+1bhNdMglgSiKtStgR6d2wF3QQJcOvufdx58EizjgQ0i1drhLQOdhg7sBesLc1x49Zd3Hv4Y52+IyaoYKRHk7ooU7ywKuEcMHoSLl69jj1rPLX+mUmw0dEhFcYM7ImEerowN0mOWZ7L0bbXYDSqVQV9OrWGzztfDBozBW7VG6qyz6RJkkTqZ0ACh4dPnMHi1RuwZvMOdS3dXAtg/qQRcHJMrVlPvmdyi4gcd3j/iOU85ecpOPkZWLJmowoaJkqkH+5jBB7Ly9dvMGfJKvx35x7GD+oV7jZXbvynfrbSp/1xToE27tijgp7+3/yRLZMTurdtjnIlioS7PyIiIqKIzO9RF/kqNUaxhl1waf9G1WtLP6kB8pRvoO73ffMSiZIaopzHQCQxNIHPi6c4sGwyJrcoie7LTkE3oT4yFiwLA1MrFYiq2mWMVmnhw+vn0Gj4jzeExe4Fo5EmZyHU7jsDz+9eU8G7+Drx8ejGReSr1AiF67TF0bVzVCDJJn02WNg7avY3tVUZVapYo8dk9dhH187FjHYVVYmqtWMWzWN89PXBkoHNUaiWB5KnsMOpLUuwuL87rFJnhLldWrg16ob3b17h0c0LaDx8sdomYZJkv/UDc2rrUpjbOaJyp1Hw//IFm6f2VcfQZvo2zToSZDuwfCryVmiI0s37qOe59y6dxNuXT4F0ka+m2DlvFOwz50aNHpPw9csn6CTQhbfXY5ildEC24lWQKJkRXj6+gz0Lx+HxzYtoNzsgSFWly1jVZ01U7TJWfUxiFHq24KeP7zHVoyz83vmgbMv+MDRPgTM7VqoA3me/j+p7FVm+3q9wbtdqnNm2XP1MGFumRI6SNTSZbIH8v36N1P50wqnkkZ8lkUBXV3sb3YAS1Wd3riEqxI+vgwQJQmY2JtBNGGWPQRQZDNhRjGnZsA7aNw/IKitR2AVPn3lhyLipaFizsgq6DB0/HYn0E2LHinma0ki3QgVUltywCdOxfNYEzb7e+b7H0hnjULJIQc0yybATBXLnwNSRAzTLt+zajyMnz6qgUN2qFTT7/fDRDxNnL0Snlo2R3NgIhfLnVgMyvnz5oqZtyv4a166CWYtW4tylq8jpnBn7j56EibGRJngoWWwPnzzFuT0bkNreVi0r5pofPu/eYfC4qWhar7oK9AWqUamsChBGljyuBP6mDO+vuSZFC+bTWqf74NEwMzHGoY3LNMGnIi55Nfe/fuONCbMWqMDo+MG9NedvamKMxu16qABjmeKFNOvrxI+PzUtmaqb++r5/j17DxqFJnWqYPmqgZr1czpmRuVBZeK5cj9aNtftmBCdBriVrNmHpmo1qGEPubFkwqHt71KhYRmWiBScZhEPGRdxMVoKH/Tq3CfN+CeymThXwfQlKetPJkyrvt+8iDNj1HDIG4/+fDZo0SWIsmT5O6/oG9/XrV7TpMRAWZibqZzuosm6FkSNrZqSytcbzF68wfcFSFZCV4HLNinGjzwgRERHFDCnbk6BWYAaSz8tnKhiUq2w99Vw7ZXpndQvazD9VljwqE+v68V3IXKi8Cp7kqVAfh1bOQPk2g6Cnn1itKwE8A1NLOBUorfWYZrZpUav3VM1jSobc6W3LUW/gXGRzC3hTPmX6bOhfNrUKIlr8v6xx05R+SG5lh5aTN6oAlUiXpxhG18uH3QvGoOEwT81j+Pm+hfuo5XBwzq++Tu2cHzdO7MHF/RtRvGFnVYaZxNhElZLaZQp4U/13Sb8z99ErtIJJnn0aqiCnoZmVyiA8uHI6Ctdth/IegzTrZHTRvj6RYWRhjYZDF2oty5DPTd0C2WfOAzOb1JjauozK4JNAp2Wq9ND/f2AyovOWIOfLh7fhMX0bHLIGvJaQ/fu+9sKOOcNUz7vw3gT/+vkTrhzejjPbl+P68d3QS5QEWYtURPm2Q9T3JbTMs26ukSs1Hnv0R9ZgcPLzJe5fPq0CtIHuXw543ffh7RtEBTPbNCrLLqjXTx/g3atniP//n0+iP4EBO4oxkiUWVNXypbB1zwE8fvocKa2tcPjEaZRzK6rVx0w+l2XBJ3NK7zcJ+oWmfMmA3mKBDp04rUoZgwdE6lQpr7LJJGuuVFFXFbB7P/gjTp+/jBxZM+LoqXPo1KoJzly4ogJ1ErA7cOQkXPLm1PxTknLVfDmcVWadBGoCybEtWL4WN27fhZNjGs3yCv/vexZZWTOmh65uAtRr3RmNalVFwbw5tUowP3z8qI5TsgLDCjydOHtBBf3kfIOS69GsUx91fYIG7CQIGhisE8fPXFCZhLUrl9M6Ryk1dUydCoeOnw43YCflydLzLY29LepVr6iOI00qu3DPu2ndGipLMiJWFuaIbm2bNlCBxWdeL1VmYH2PLlg1Z5L6mQmNZHjKz9SmRTNVBmlQE4b00fq6UunicClfG32Hj2fAjoiIiH5LliIVtb52LlYJ147uUCWvxhY2aplksR1dPw+vHt/D54/vNet63b+l+TxfxUbYs3Aszu9ei9zl6uHTB1+c27UGBau3CJENJU36g5KstMDgW6DEBkZIamymssbEl08fcef8Ebg17iZFhlqZWI65CuPCnnVa+9RPYqAJ1gkZAGCWMg28n/+oJolq0ict6LlapXZSH+UxJWB389R+Vaop1+p3ZQplOIT0spOSXAl+SimulH8GevHglgrY/QwZqiCZcIHBukDZS9bAiqEeePHgP9WzLTRSHj3No5wqdXbKXwL1Bs2FU4FSEfba6zB3H36XBCXT5iqM7bOHquO3dcquescdXDFd3R8vkiWvESlYo6XKVtw+ZxgKVGmmAoGrRrZX+48Xj13F6M9hwI5ijLmpidbXkoEknj73UgE7yYaytAj5ToyFuam6T2uZqUmYPQQszbT38cbbB6bJjUIMTpD9isB9O2fKACNDA1UK++37N3z1/6qGB7jmz4UDR0+oKaDHz57HiD4B7wyKFy9fqR5vie1+pO0HJdltoT1mZElga8uS2ao0uFG77mpQhWS2jejbRfVle+P9VpVryhTTsASen6W59kRUuR4mxobq+oR3jF4vX6mPYfXck5LZ8EhWmmQZ+n74gLdvfUP0zQuNpbkpzE3D329k+lIYGxnA2/ttqNdEfn5kamxEbFJYqltghpxchx5DxoQasJPSYymbXThlVIhMyNDIdalariR6DR2rSmhD64dHREREFBnJjLWf6yU1Ntf0LpOA3aFVM1UZp2SlpcqaTwXCvn//hknNimsFhAzNUqhMMelPJwG7sztX47Pfe5WFFZyUa2o9t/l/NpIE6YIv//L/x5BgiGT3SZ81uQUXPAiTKJlhiHUS6Olp9hcdgg8ykMcTmnPwea25Vr8rWfKQb0BvnT4QxzcuRIkm3VVwLmHiZPD2eoQFPev/0nnLNTcwCXg+G5SBiUWEmWpSLiqZln7v3+Kj71uV8Sg/LxEF7FKk1e6h96tq95mGJQOaYVbHKupr+bmVsu7Vozpqjv93SUmv1/2b2Ld4EnbNG6VeJ2QtJlNj3VgSS38UA3YUYyTwI4G5QFISGDRLSsoUnz1/GWK7514v1X1BhdfwM/h9xkaGePnaW2WHBQ3ayX4DHzcw+CPltFIK++3bdxUYS5woEQrnz4Pp85eqTDQJmLnmy63Zh5TSuliYYXT/0KeNSgZaZI87LIUL5FE3eWwZWjFwzBRUqN8St07sVgEpOe7Hz7zC3D7w/J55vUC6ND+OR67Hqzc+6vqEd4xSAiykpFgmpwYXUf86KcPt1qY5lq3bhCWrN2HSHE+kT+ugMu1qVymnBjREV0msZDfuP3IixPJrN28jla1NhOWwocmRJSOmLVgaYrn0CBw5eRYmD+uHWpUi1+g4KDaxJSIiot/x7s0LTSad8H0T8PxQSlmFZMzlLF0LJZv21Kzz8tHdUPeVv0pTzGxfCU9vX8HxDfNVxlxyq5BtRn6FflJDFZSTjL3sJWrgb5TEKCDxQEpkf3syaiivD87tXosiddupHoCBPr4P+Sb0zwQgpYw3uLevAgakhTdp1dIhA/qsu4z/Th/AmW3LsG58d6wd21UFdXOUqqF+NgIDtVFdEhsYFG09dYu61hJYlOv95L+AoSipsoTdpuZnSR/CovU74vWTeyojVAKpI2rlitLHIIoIA3YUY9Zu2anpYSfWbNqOlCksYf3/7DAp99yya5/qT5csaUAQSD6XZRKw+lWueXNh3PR5WLVpuyrrDLRs3WZVWiv91AIVzp8b/UZOxEe/T5o+ZZJl9+nzZ4ydNlf1W8uU/scQgxJFXDBjwTLYpQyYChqd5FjlmCRTrWrjNrj/+IkaWlAgd3bVG65nuxbQ1w9owBpUnuxZoaeni+Xrt6iy30ArN25TQbuCQSaohiZfzmzq+yEDMAJ7AP4sKwszdGrZRN0uXLmOJas3YNr8Jeg/apI6fvm+1KtWURNAi6qSWBnmIOW4EujMnyu7WiYZfvIzJY/3sySbUfohOtil1Fouvej6DB+v+hMGHzQSHrn+qzZuU8HD6P75ISIiorhNJrwG9rAT5/esh5GFjSYLTEoagwdWTm4OGNIQXNqchVRfLwnMSM+0xiOWRNlxJkyURJVmPrl1BRXaOUfJm5YyHED6rP0paXMWVkHH4xsWqGyvqPbl0wfE14n4eyXDFyTzLSIO2Qqoybp3L51Aqsw/Xled27laBaYCe8WFRRIEpExYbjLAQvoRSrnuvO51VLAva9HKyFO+vlapblSUxAYlpchykz7UMuxDyq9TZ//RzzyqfjYDe+VdPbJDlQrX7K09bZkoOjFgRzFm5sJlqsw0i1N6FbyT/nUzxwzWlDX26tBKLStVq4ma/irGTp+LD35+6r5fVapoQRUU8ug+AC9evkYGx9TYsfcQ5i1drSZ0SpZcICl/lcmlx06fw8Bu7dSyJIkTI2fWzNh7+Dgqlymh9aSifbOGWLVxO4pUro/2zRogrYO9CjLeuH0Hx06fx+q5k3/jikFNZz104ow6h5QprNSkUsnksrGyhFPagN54I/t2RbGqDeFaMWCoh7WlhZokK6W6Ur4r59eheSO1XZJEiVCyaEGVYSZTYuW6yL7DI30EZT/t+wxVWYmyvUHSpHj87LnKRixWMD9qVCz9U3355Da8TxfsOnBEDaPoMmAkcmXLosqSRQpLc3X7XeVLFEXeHM5qOu+w3l1gZJhMXQf5HnZs2Viz3v1Hj5E+fyk1ibdPx9ZqmQwgkXLhfDmzqxJd6WG3YPkanDp/CUumB0ziEis2bEWHPkPVdSyULzdOnLmguS9ZsiSaHoYSMN20Y68qpZVA9fOXr1TmpkwvDro/IiIiol8h/emk1DRFmkwqeCf962r0nKR5rp0+b3HV+8siVXrVr0wGN1w+tDXUfclzJZk4KyW0MjVWepZFpQrthmJq67KY1bGqKrs1MDHHe+9XeHj9vHrsMi37/dT+ZPqsBM9ObPKEVepMahiDTJCNLpLl5VqzNfYvnQS/D+/glL+kOm6ZEmuXKedvX690eYpj/7LJSJbcTF3/C3vX4UGwoQg/znuh+n4bW9oiiVFyNcwjOJngKoNEFvasj9It+qgg7tkdK3Hz1D5U6zYhwjYzwYNaOUvXVjfpS3h2xyqc2b5C9UpsMvJHFUrKDNkQVT/X0rdQJgS/fflcTfCVoRMtJ23QOu6d80Zi1/xR6LnynCYbVILU144GTNV9fu+G+nhh7wb10SJVOtUjT0hQWoZpSMBRAoJ3LxxTPQSL1G2vFeAU147twuePH/DsbsD02NvnjuC992skNTZB6myh91gniiwG7CjGrJo3GW17DlIlnSZGRirQJJNLA8nk1d2rFqg+YO4dAlL1Jfttz+qFmqmsv0L+kG/wnKH2O2baHLx6463KMKWMtV0z7V4cWZ3SqzJTmSArgZ5AkpkmQbxC+bUnMMlQgYMblqgJtxIIkiCWkYGBKj2V3mS/S4Kb2/cdQt/hE+D16pUqb5XedZ5TRquMO6Gm165fjAGjJqmBB1++fIW9rTVaNPiR6TW4RwfVH22m53JMX7hUlbnWr15JLY/MP+hm9WuqPm7jps9XmYlfv/rD2tJcDeDIkvHXvjfSv02CV3KTIGf8+L//7mpwcm7rF05Dt0Gj0LbXQPj5fUa+nM7YsXK+JrNTfP8O+Pv7qwy6QNkyO2Hy7EVYuWGbmvorvRGzZEyPA+uXIG/OHz8bO/cdVv/YZdqu3IJyzZcLu1cHTP1KldJGBYxl6qz00EuSOBFyZs2ELUtno7jrj0bKRERERL9CsuDWjO6E7bOHIYlhcpRvMxh5yv94rluiSTd89PVRQQ3JRnNwLoDm49dgWLUfz2uCylK4ggrY5SlfD/F1dKL0m2KTzhkd5u7FzrkjsX5cN1XuKWWIEjDJX7nJT+9PzlOCLlunD8J7n1dqSIWUUUanCm2HwCSFPY6um6ey3ySQZe2YBVmK/FpFSlCVO43CurFdsXFyb/V1+nwl1OTdiU21B9hJQOn1k/tYNbKDKhfNWaY2avcJGMgQlBybx9Qt2Dy1HzZPG6AGiUhAs06/mchRquYvH6eRuTWK1u+gboHltVHN3/8rDiyapgZ+SC+91NkKoN2sXapUNygZAiIBa+C7Zpnvmxdqum9QgV9Lf0DL/5eHSz8+CcTtWzIRXz9/hmWqdKjWbbwKJgcnv2MyCCTQzrkj1Ec5ruj+maO4L953eWVJFMXKlSsHHX+/384oI6Ifqrm3hb+OPjZv3szLQkRE9A97+fIlzMzMVFAuk6t2r1wZ3CDZRRH1AvtZh1fPwoaJPdFr1Xk1oZOIft7lg1swv0ddvHjxAqamPzeAkP49zLAjIiIiIiKiUD27e10NKNi9YIzqTcZgHRHRn8GAHVEsIcmuUoYZFumDIWWjRERERER/ytoxnXHv8ik1HbNi++F/7YX3//o13PulzDcqBl6ERkozwytsk4EVP9M3joj+DQzYEcUSi1auR9NOAX0pQmNnkwL/ndj9R4+JiIiIiP4uJZv2VLeoElf6cHVzDb/8sNWUTUgTxVNGA81oV0ENIwiL9E+Lyu8ZEcUNDNgRxRJl3Yrg2NaVYd6vpxcwVIKIiIiIiH5Oh7n7wr3fzDZNtF1Smbwqgx3CYmBqGW2PTUR/LwbsiGIJk+RG6kZERERERFErZYZsMXZJZQIrEdHPYqE8ERERERERERFRLMIMO6I/ZMP23bj/8AnaNWvwT1/zKzf+Q9cBI3H01DnoJ9RD+ZJFMapfNxgbGUa47f4jJzBg9GScvXQFifQTonTRQhjZrysszLR7kpy/fA19ho/HkZNnVANf13y5Mbp/N6RJZReNZ0ZEREREsdWlA5vx5tkDuNZsjX/ZszvXsGFiL9y7dAIJ9BIiY8EyqNB2KBIbRFzpc+f8UeyYOwJPbl3Gt69fYW7viCJ12yFL4QqadZYNaYXTW5eFur2ZbVr0WH5K8/Xrp/exbeZQ3D53GB/evlETiHOVqYNCtdtAJwFDFUTMsCP6QzZu34vJczz/6ev95JkX3Ko1wqfPn7Fi9gRMHNYXew4eQ5XGHuFOzhKHT5xGmTrNVGBvxawJGDuwl1pWsmYTfPr0WbPef3fuoWiV+njn+x4Lp4zCrLFDcP/RYxSr2gBeL1/9gbMkIiIiotjm8qEtOLhiOv5lPi+eYlqbcvj65RMaDvNElc5jcPPUfszrXjvC5+JP/ruEmR0qq0m6tXpPRf3B81WAzbN3Q1w9sl2znlujbmg3a5fWrd7Aueq+jAVLa9b79PE9ZrSrhPuXT6Jsq/5oOmYFnItVxtaZg7B1xsBovApEfw+GrYliIQlAJUwY94ZMjJs+D/7f/LF2/lQYGiRTy1JYmKtg2uZd+1C+RNEwtx0ybhoc7FJi9dxJ0NHRUcsypHVAvjI1MH/ZGrRsVFstGzNtLvR0dbFp8UwYJEuqluXJnhUZXEph3Iz5GNGnyx85VyIiIiL6O339/Elln8U1+5dOwjd/fzQZtQyJkhpqBl5M8yiLK4e3IVPBMmFue37POgDx1LZ6+onVMsfcRTDsymmc2bEKTgVKqWWmNqnULaibpwIGfuQqHfB8Xdy7eAKvHt9Fy0kbkDZnIbUsTQ5XtezMjpUo32ZwNFwBor8LM+yIwnHhynVUbuQBswx5YJA6GwpXqoejp85qrePeoRfS5imOMxcuw7VCHRimzo7Mhcph9abtWussWrUe9x89gZ61k7oVr9ZQ3ee5Yp36WvZbo1l7mKbPrbnv6fMXaNyuB6wy5UcyB2fkKF4ZS9Zs1Hr8wO0l26xi/ZYwSpMD1llc0Hv4OPj7+6t1nnm9QBL7LJg8Z1GIc+wxeDTMnfLi40e/aP9ZkKBc2eJFNME6UTBvTthaW2HTjr3hbnvi7AUUd82nCdaJHFkzwcTYSJUbB10vb85smmCdsElhiYzp0mLjth/rEREREVHsJlldc7vVQu8Stuhe2BKTW5bC3YvHtdaREswhVTLj4bVzmNS8BHoUscLI2rlxYe/6EGWab549ROf8RuomQSpxcssS9bXsd0Gv+ujtZotpHuXUfW9fPsPSQS3Qt7QDuhe2wJgGBXBm+wqtxw/cXspF53SugZ5FU6B/mTTYMn2gCo6p/bx6jm6uZqFm+G2a0hd9Strhy6ePiG5XDm1DRpdSmmCdSJ2tAIwtbHDl0NZwt/365TN0EugigZ6+Zpm0nkmYKCm+fws4z7Cc3rYcNumdYemQQbPM/2tAhYx+EgOtdfWTGuL7/68b0b+OATuiMJy7dBWFKtaFz9u3mDF6EJbPnADDZElVCab0SAvK++07NGzbHQ1qVMKa+VPgnCkD6nt0xY1bd9X9vTq0ROmirrA0N8WhjcvUbdKwvlr7aODRFY4O9lg5eyL6dWmD9x8+qMyznfsPY0jPjlg1ZxIypk+jAnhzFq8McbyN2nZHZqd0WDV3EhrVroIxU+di0Nip6j5LczNUKFkMc5eu0trm8+fP8Fy5HvWqVUCiRD/++QYngb+vX79GeAsvlV4CgncfPFLnEJxTujS4dvN2uD+LEqiTzLngJBNR+uJp1ouvAz29UNbT08Pt+w/h5/cp3MchIiIiopj36MZ5TG5REn7vfFCjx2Q0HLoQiZIYYEa7inh886LWuh99fbBkYHPV/6zxyKWwdsyCxf3d4XX/P02ZZoZ8JZDMxEJTplmly1itfSzp3xTmtmnRcPgilGzaU5VsTvUoixvH96Bsy/5oNHwxLB2cVADv2PoFIY536cDmSJE2k1ovd/n62Ld4AnbMHa7uMzCxQCbXsjix0TNEEOzU1qXIWaoWdBMmCvNaSODP/+vXCG/hPReXgKD0jJNzCM7CIQOe372B8Mi1/eb/FRsn9lQByPc+r7F30QS8eHQb+au4h7mdBEJfPrqDnEGy60TanIVhmjI1Nk3tq75Pfu/fqdJaCe4VrNkq3GMh+lewJJYoDJJ5Zm9rjR0r5kH3/4GiEoULwLloRQyfOFP1YAvk8/Yd1i2YCpc8OdXXBfPkxK79h7Fu6070aNcCqe1tYWqSXAWN8uTIGurj1ahUVgXmAk2bvwS37t7HvnWLUCB3DrWsVFFXeL14hYFjJqNJnWrqXa1AFUoV02zvVqgAfH0/YNLshejYohGMDA3QokEtlKjRWGXy5c+VXa23dusuvHz9Bk3r1Qj350CClAeP/WgQG5ZdqxagUP7cod73xuetehJhbBhyuIT0pbt972G4+3ZMnQonzmo/OZPedJKFqKv740+ZY2p7nDp3UQUQE/y/Wa30s7t685Z6fDkOK32zCM+FiIiIiGLOpin9kNzKDi0nb1SZXSJdnmIYXS8fdi8Yo3qwBfLzfQv3Ucvh4JxffZ3aOT9unNiDi/s3onjDzqpEM4mxCRLo6sEuU65QH8/ZrRrKtOyn+frw6ll4+fA2PKZvg0PWfGpZhnxu8H3thR1zhiFPhQZaz8UlIBe4fbo8RfHpg6/KqCtcuw0SJTNC/spNML1tBRXASpUlr1rv4r6NeO/9CnkrNQ73WsxoVwG3zx2J8Jq1mrIJabIXDPW+D2+91XNhOZbgEiczVqWo4bFK7YRWkzdifs96OLRqplqmlygJGgyeH+ZjCgnAyfcvm1s1reW6CfXRZvo2zO9eFyNr//ieFG/YRX3PiIgBO6Iws8EOHj+N3h1bqcaqEvwJVKxgPq1yVyHll4HBusCsr7QO9nj4+Gmkr3CFYP3bDh0/DTubFJpgXaA6VcqjaafeuHH7LjKkTa1ZXqVsCa31qpUvhekLluLy9Zvq2AoXyIP0aR0wZ/EqTcBu7v8/d3IMmfUW1NQRA+D7/n2E5yBBtejSxr2eyiKUYGWrRnXw2tsHrbr2U0+Ugj5ZkvWKVK6PNj0HoV/nNvj85Qu6DRoF3/cf1P3x48eLtmMkIiIiot8n2WB3zh+BW+Nuqm+aZI8FcsxVGBdUP7UfpKwyMFgnpP+cWco08H7+KNKPGbx/m5S4ylCFwGBdoOwla2DFUA+8ePAfLOzTaZZnKVJRa72sRSvhyJrZeHr7qjo26c8m6x/fsEATsDu+cQHss+SFZar04R5btW4TVAAwIma24T+n/x0vHt7Gwj6NkDK9M/JXdkf8BLo4u3MlFvdvCvfRyzV96IL68skPF/aug1OBkkhqZBLivkV9G8Pv/VvUHTAHhmaW6prvXjhWBQKLNfiRyED0r2KGHVEoJBgkZaCDxkxRt+CCBoiEsaF274XAoJ1fkOmlEbEwN9X6+o23jyplDWs9uT8oMxPtf4LmpgFfP3n2QrOsef2a6D1sPMYN6onnL17hwLGTmDdxRITHliaVbYSTo0TQ/nLBGRkmU8HPNz7axx14LsmNQmbeBQ9USonx2OnzMHT8dLWv6hVKo1RRQ1wNUhIrAc5JQ/uiz4jxmLd0tSbIWr96RSxduynCxyEiIiKimPXh7RtVBrpjznB1Cy5esOfiiZKFfH6XQE8PXz5HvkdzMhPzEMdgYGIZYj0pbw28P6ikxtrP25MlD9ifz8tnmmX5KjVWve0qdRiBd69f4PbZw6jdd0aEx2Zq4xCp5+Lxw3kuLtdInj9/fOcd4r4P796oLLvwbJ0xCHr6idBo+BLo/L+KJV3uIqov4MbJfdB54aEQ28ggi4/vfEKUw4oTmxepAF2v1ReQ3MpWLUudzQXfvn3TZDAGD/IR/WsYsCMKI7gkQbk2TeqhdpWAprPRTf6BhiwTfRBivedeLzX3B/Xi1SukS/Mjw83r5Sv1MYXljycP9atXQp/hE9TgivsPH8PYyADVypWM8NiioiQ2caJEsE9pjas3Qvaqk/51RVwC3mkMz8Bu7dCtTVPcuf8I5qbJYWFmqsoPAjMGA8nE2Ma1q+LWvfswSJoUKa2tUK5uc+TOlkVT3kxEREREsZMMHpCgXMHqLZC9RPitW6LruXhiA2PVey046d8WeH9Qvm9ewNwurebrd6+91EdD0x9Bv5xlaqvA1+ntK/Dm6QNVniqZeBGJipJYmexqbGWLZ3e1e3GL53evh5ohF5RkCqZIk0kTrAuUMn02VT4cGhn0kcTIBBnya1cCiWe3ryKJoYkmWBd0f/5fv+DVozsM2NE/jwE7olAkSZwYLnly4NK1GxidpXuIf+C/IqGeLvw+RX7ggWu+XFizeQeOnTqHfLmyaZYvX78FFmYmSBes/HTtlp1aZblStpskcSJkSu+oWSbTWWtVLotZi1aoXnj1q1WCvn7EI+ujqiS2nFsRFSx8+85XM8X1yMkzanpuuRJFENnvTeYMAee0dfcB3Lx9F7PHDgk1w1EmwwZO+917+DjmTQz5Di0RERERxS4JEyVRpahPbl1BhXbOUfJcPIFuQnz9HPnn4g7ZCqhJs3cvnUCqzHk0y8/tXK2y58xsfwTnxMV9G7TKcmVbKe2U3m+BZDqr9HI7tn6+CujlKlNb9XKLSFSVxGZ0Ka2m3EoZauB01jsXjqksObkvPAYm5nj83yVVnhw0aPfw2lkYBAlKBpLzu3FyDwpUaarpQRiUXMP3Pq/w+ukDraCd7E89Xij7JPrXMGBHFIbR/bujaJX6KjOrYc0qasKrDGg4c/Ey4iGe1oCIyEifNjXmLFmF+cvWqIBTsqRJtTLigpOJs5PnLEKNZu0wqHsHpLA0x7K1m7H74FFMGzkgRFnuxu17VDBLAn0Hjp7EjIXL1MALGTgRVIuGtTSlou71qkfq2MM7zp/RqVUTVZZapbEHurVpBm+fd+g1dAzy5nBG+SA9/Bat2oDmnfuogR9yPuLc5avYsfcQsmV2UiUBh0+cwfiZ89G5tbtWQPPRk2eY6bkc+XJmU9Niz1y4jFFTZqNS6eKoValslJwHEREREUWvCu2GYmrrspjVsSpyl6unAkYyoOHh9fMqgBd0QERkWNg7qv5xJzZ5wip1JugnSaaVERfaVNRDK2dgYc/6KN2iDwzNUuDsjpW4eWqfCqAFfy5++eAW6CVKitTZCuD2ucM4unYOijXsHGLIg0xUlWMQeSs2itSxh3ecP6NI3XY4s2Ml5nWrjaL1O6npulum9oNdptzIGKSH3+lty7BiWBu0nLRBlamKAlWbwbNPI8zvURf5KjVSQbizO1epzL+K7YeFeCy5VlLWLFmFoZHlB5ZPxZzO1dV1klJjCR7uXTxBHYv0DyT61zFgRxQGCQwd3boSQ8ZNQ8e+Q+Hz7h3MTUyQLYuT6gX3s5rUqYpzl66iz/DxKvBXMG9O7F69MMz1Jfi2Z40neg4Zg15Dx+Ld+/dIl9oB8yeNQN2qFUKsv3DKKIyaPFsF+RIn0leBrH6dPUKeVyYnpLK1gbWVhdbQij9BHnPnqgXoOmAEqru3g76+ngrUjezbTeud0+/fvqkegkF7dejp6mL73kOqh92nz5/VsUvgUoKpQcnEWJkSO3vRCvh++KAm9Pbp2Bptm9b/o+dKRERERL/OJp0zOszdi51zR2L9uG74+P6t6hNnky6rmrj6s/KUb4BHNy5g6/RBKrNLsuFaT90Sbpafx9Qt2Dy1HzZPG6Ay3CRwVqffTOQoFfK1QJ0Bs7HXczwOrZwOXf1EKFy3PUq69wzlvLIieQo7GJml0Bpa8SdI0LH1lE3YMLEXFvSsp4ZzyLCN8m2HaD0Xlz5y34I9F5fSXRkusXfxRCwf0hrfvvnDzCZ1mNfj1LZlsHRwUt/H0JiksEfbmTtVv7rNU/ur3noSpCtav6MKLBIREO97ZLpXEv2kcuXKQcffD6vnTua1i2aeK9apqbE3j+9SPeIicvn6f8herCIWTB6pBjnQ36Oae1v46+hj8+bNMX0oREREFINevnwJMzMzNB6xRPXzpZhzcssSNTW29xoZnmAX4frSC25M/fyo038WcpT8M/35KPaQTEzJUnzx4gVMTbWHDhIFxww7on+ElIrKEIv+oybBziZFpIZNEBERERHR7/P2eqyGWGybNVRlkkVm2AQR/du0C++JKM6at2y1mvb62tsbnlNGQ09PL6YPiYiIiIjon3BioydmtKuIj2/foO7AOUigy+fiRBQ+ZtgR/eUa1KysbhHp17mNuhERERERUdTIXbauukWkZNOe6kZEFFnMsCMiIiIiIiIiIopFmGFH9Bdy79AL9x89DnfKbGzz9p0vJs3xxM59h3Hz9l18+/5dTXrt4uGuJsUGdeTkGcxftgZnLl7B9f/uwMbKAv+d2B1in3OXrMKG7btx8eoNePu8g72tNRrWqIw27vWgq6urWW/N5h1YsWErzl64jBev3iCltRUql3FD97bNkDRJkj9y/kRERET0b1k2pBXePH0Q7jTa2Mj/61ccXDkdpzYvxuunD5DYwFhN1S3dvA9MrO0163XObxTmPsq07I9iDTpqDVvYu2gCnt+/gfg6CZAidUa4NemGNNkLRvv5EP2tGLAjoj/iweOnmLlwmSrf7dWhJeLHj48V67eiauM2mDZyAJrW+zEla+/h4zh84gyyZ8moRsy/e+cb6j6Hjp+OYq75MHZgFZgYG+HIybPoN2qiCvQtnjZGs974GfNVkG5Qjw6wsbLE+cvXMHjcVBw6fhp713qqYyEiIiIiImDbrCHYv3QS3Bp1RepsBeDz4il2zBmOGe0roovnESRMnFRdpnazdoW4XEfWzMaZHSuRsWBpzbJrx3ZhQc96yFq0Mkq494D/1884tHIGZnWsinazdsImnTMvO1EoGLAjoj8ila01bhzbicSJEmmWlSjsgkdPnmL01DlaAbveHVqhbycPTTbhwWMnQ93niR2rYWaSXPN14QJ58B3fMWjMFAzr3Qm21inU8nULp2mt55ovF4yNDOHeoacK8hXMmzNazpmIiIiI6G9zZvtyZC9RXavnXjJTS8xsVxF3L55A+rzF1DK7TLlCbLtkYHOkTJ8NlqnSB9nfChhZ2KhhG4FvlKfJ4Yp+pR1wYe8GBuyIwsC0EiIAN2/fQzX3trDO4oJkDs5InasoajXvgK9fv2rKOdv3HoLMhcrBKE0O2GZzReVGHrh+647W9fNcsQ561k44efYCajbrgOSOOWGTtSBGTZmt7t++9yBylaii9pG/bE2cu3xVa/vi1Rqq29otO9VjJU2VFdmLV8Lug0cj/D69ePUaHt0HwC57ISSxz6K2l7LSoJ55vUCT9j3VOrJvOY9KDVrB6+WraP85SJI4sVawLlC2LBnx+NlzrWWRzXgLGoQLlCNLRvXxyVOv8NfLGrBe8McmIiIiotjpxYNbmN+jLvqXSYPuhS0wuHImLOzdUJVwCr/3b7F2bFeMrJ0bPYumwIDy6TC3Wy08v3dTaz8ntyxR5Zz3r5zGwl4N0Ku4DfqXTYs9nuM1GWFjGxZU+5jgXhSPblzQ2n6aR1l1u7hvg3qsboXMMaZ+ftw4uS/Cc/B98xKrR3XEwArp0c3VTG1/YpOn1jpvXz3HssEtA9YpZK7OY06Xmnj3+gX+hK9fPkM/iYHWskT///r7N/8wt7tz4RhePb6LnGVqay33//IZCRMl1XqOr5swEXQS6OFbOPsj+tcxw44IQKUGLWFkZIjJw/vBNLmxCuJIcO3bt2/q+rzzfa+Cd/06e8DCzBSv3nir8k7XCnVwcf8mWJqbaV3HRu16oH71imhevwZWb96BPsPH443PW+zYdwg92rZA4kT66Dl0LGq4t8O1I9uRIMGPX0Xp79ZzyBj07dwGhgZJMWHmAlRq2Aqndq5VPd9CIwHFwpXq4fPnz+jfpS3sbFJg+95DaNm1Hz5//oIWDWup9Rq364H7j55geJ8uSJnCCs9fvMTeQ8fw4aNfuD8HgYHLCP+gBDmPyDp47BTSp3FAVDlw9CR0dHSQxsEuwvVEVD42EREREUWfOV1qIFEyI1TtOhZJjExUqea1o7vw/XvAc/ZPH3zxzf+rygxLltwM731e4+jauZjcwg3dlp6EgYmF1v6WDmqBXKVrI1/lJriwZx22zhiIj++8cf34LhRr2AV6+omweWp/Vc7Zc+U56AR5ruv14BY2Te2Hku49oZ/UAAeWTcHcrjXReeEhWNinC/X4JaA4pVUpfP38CSWb9kJyK1tcO7oTq0a0h/+XL8hfxV1zXG+ePUQ5j0EwMreG75sXuHlqP758+hDu9QkMXEYk6HmEpkAVdxxcMUNl0jk4F8Dbl8+waWpfWDo4IW2uwmFud3rrMujo6iGbWzWt5XkrNsKcLtVVD7s8FRrA/+sX7PUcp1rf5C5bL1LHTPQvYsCO/nkvX7/BrXsPsGb+FK3hB7Url9N8bm1lgakjB2i+9vf3R8kiLiojT/qwtW/eUOs6NqhRCT3atVCfF8qfGxu378HkOZ64enibpkxTSjelf9vJcxeRP1d2zbbPvF7ixPbVyJbZSX1drGA+pM3jhuETZ8BzyuhQv1+T5yzCwydPcW7PBqS2tw3YzjU/fN69U73amtarroJYx8+cx+AeHVCnSnnNttXKl4rwZyCxXZZI/Zx8fqydMRiR2YtW4PT5S1g8bSyiwoUr1zF1/hK416mmAq9hefz0OQaPnaq+h86ZMkTJYxMRERFR9PH1foWXj+6g8cilyFSwjGa5lG4GMjRLgWrdArLkxDd/f6TPW1xlz53btRqFagW0XAmUq0wdFG/YWX2eOpuLGowgwxZ6rjgDY8uUavn3798xv3sdPLh6Gqmy5NVs++7Vc3Scv19TzumYqzCGVsmCXQvGoN6AgOqa4KRv25tnj9B18TGY2qTSbCeBvB1zR6jAVnwdHdy/fAplWvRFjpI/WsZkLVopwmvUzdU0ElcSGHvUO9z7SzXrjXjx4mNet9rq/IVNeme0nLQeCXT1Qt3myyc/XNi3Hk75SyCJoXZ1S7o8RdFo+GIsHdgCW6YHvKZKamSKZuNWw8LeMVLHTPQvYsCO/nkyrMDBLiV6DxuHFy9fq/5maVKFzM5atXEbJsxaoMpnfd6+08qIC65k0YJaWWcSRHv/4aMmWCfSpQ7I7Hr45JnWtnIsgcE6IWWkZYoXUgMSwrJz/2Hky+GsMuuCZsNJj7gFy9fixu27cHJMg5xZM2Pc9PnqvsIF8iJjujTqna2IHNu6Msp/TiSzrlP/4WhUqwpqVPzRlPZXPX3+AtXd28LRIRVG9O0S5nq+79+japM2SKinh1ljh/724xIRERFR9JMgkEkKe2ydPlCVlabJ7gJTm5CVEuf3rFPZbl4P/oOf71utctrgJJgXNOvMxMYBn/3ea4J1wsIuIKDk/fyx1rZyLEGHJejpJ0aGAiVx59yRMM/h+vE9sM+cW+0/aDacHMfJzYvVMUvvt5QZsmHf0smaXm+WDhki9Zy9w9yIS3Ij48iaOdi/dLLKAnRwzgefF8+wa/4ozOlcHa2nbUXCRElCbCPBTrneOcvUCXGfBCClxFda9mQrUR3fvn5RjzGve220mrwJVql/vPYhoh8YsKN/nvzz27psjsq4kqCdlLtK0KxLa3fNIITNO/ehbqvOaONeD/06t0FyI0PVg6FC/Zbw+/Q5xDU0NjTU+lpPT1fdgi8Tn/w+aS0Prd+auZkJnjz/0ZMtuBcvX6kswbAy4V6/CXgXbcmMsRgybhrGTJuLTv2GI4WlOZrXr4Ue7ZqH2zcua8YfTWOjwtmLV1ClsQeKFcyvJsT+Ljm/MnWaqu/l5iWzkDRJyCcRws/vk8pqvPfgEfauWwQrC+1SZiIiIiKKneR5XouJ67Fj7nCVpfXB57UKmhWp1wH5KjVS61w5vA2L+jZGweotVFlsYgNjlSkmgaYvn0O2gElsYKT1dQJdXSTQ1V6moxvwnD349kmNQz6PTJbcHD4vtd+MD0pKWyVLMKxMODknUX/QfOycNxJ7F0/E+gk9YGBqhfyVm6BYw87hPmdPkTYzfteHt2+wcXJvlXno1rirZrl95lwYVs0ZJzZ6wrVmqxDbnd6+XGXNZcjnFuK+deO6wdoxK2r1maZZ5pi7CEbVzYvts4ei8Yglv33cRHERA3ZE/89qmz9phEr5lrLK6QuWonX3AbC3tUFx1/xYuXErihTIg3GDemmul/SLe+3tE+XXT4ZHBOf14hVSWJiHuU1yYyO4WJhhdP/uod7vmDog5d7c1ASThvVVtxu37mLRqvUYMHoSLMxM4F73RzlBdJbEXrnxH8rWaaZKUZfPHP9Lfe+Ckv6C5eq1UEG7fesWhxmE+/LlC2q37IRT5y9hx4p5KuOQiIiIiP4eJtb2qNNvpnrO/uS/Szi8ZjZWj+qA5CnskC53EZzbvVZlpFXqOFJrgMKHd2+i/Fgk+Bbcu9deMDS1DHObxIbJ4WBigQrthoV6v5ltwPNT6b9XtcsYdfO6/x9Ob1umAlsSEMxbUbsVT1SXxEomovTYC5o9KJJb2anj97qvPcAjcEjGzZN7UaBqM+gk0E5SEE/vXIVL9YB2QYFkvRRpMuHp7Z9rqUP0L2HAjijYO3cSSJLAl0xYvXL9PxWwk6EMuv9/dy3QolUbVC+7qHbn/kOcu3RVUxb74eNHbN19AMUL5Q9zmxJFXDBjwTLYpbQOt3dbUOnSpMKQnh0xe/EKFUT7EyWxt+89QJnaTVUgdN2CadDXT/hb+/v40U8N5Lhz7wF2r/FUgdfQyPAQGQSy59BRbPScgVzZIheAJCIiIqLY+Zzd2jELKrYbipObFuHZnasqYPfF70OIgJEMQpBedlHt1ZN7eHTjvCaw9dnvA64d2QHH3D96YgeXPk8xHFk7B8ZWtkhqZBKpxzG3S4syLfvh6Lp56jyjuyQ2mUlAksDD6+eQIX8JrfN97/0KBqEEJM/sWKmucc7StUPfZ3JzPLp2TmuZDJ6QoKsM1SCi0DFgR/+8i1dvoHO/4aheoZTqNef/7Rs8V66Hrm4CNTBClCzsgjY9B2Ho+OnIl9MZJ85ewIyFy2BkqD3uPCpYmpuidouO6NvZA4bJkmH8zPnwfvtWM8QiNO2bNcSqjdtRpHJ9tG/WAGkd7FXm2Y3bd3Ds9HmsnjtZ9d0rVctdDdOQYJ1uggTYuGMP3ni/RXHXAuEeU46smX77vLxevkKpmk3g9+kT+nbywNUb2n1EJFCaMKGeJstQetyJB4+eqIDpms071Nc5nTPBzibgH3vN5u1x+MQZjBvUE+/ff8CJMxc0+3OwT6kpL27fe4jqQSjXMJG+vtZ6MlDEJkXY74QSERERUcx7cuuyKg91LlZF9a6TANGprUtVgC5N9oKaXnBrRndS/dbsMufBg8unVIAsUTLtdjVRIZmJBTx7N1KltzIlVnq+ffT1QfFGAUMsQuNaq7XqsTe1VWm41mwNM9vUarKtZNHdu3RClYbKPma2q4TsJavD3M4R8RPo4vLBzWp6bXjBQCG9736XZNJlyFcCezwDhnfIoA2ZEivDNPSTGIQalDuzbZnqQ2eTLmuo+5TMu81T+2HZkFbIVryqCtZJAFLKg8t5DPztYyaKqxiwo3+eBMhSWlthwqyFanqovr4eMqV3xAbPGZoJolIuKsMhZi1ajlFTZqug0XrP6ajh3i7Kr5+Ur3o0qYd+Iyfi7oOHKvi2fuF0ZEibOsxtDA2S4eCGJSqgKMf3+NlzGBkYqMBc1XIl1Tr6CRMiW6YMmLt0lQqCydRYeaxF08aooRbR7drN27j/6In6XLLigrt5fBfsUwYE4iSYJ0HLoAK/njNuKBrUrKw+3773kPrYsW/IsgLt9Q6qjyMmzVS3oPp0aq36EhIRERFR7JUsuQWMLWxwYPlU+Hg9QQK9hCpI5D5mpcq2E3kqNFTDISQYJAEnCWC5j16BBT3rRfnxmNumUWWe22YOUdlnZinTqMeysE8X5jaJkhqi7cyd2DV/JPYuGgefF0/VMsmiy/L/KbC6evqwTpcVxzd64s2zh4gfX0eVytYbOBdOBQKe10e3+kPmY9/iCTi3aw32LpqgegHaZcyJxiMWI7mVrda6j25cUGWt5dsMDnN/Req2U2W+h1bNxKK+TdQkXBmu0XTsqlB73hFRgHjfA+c0E0WhcuXKQcffT2V2UeQVrxbQk2L36oW8bBRCNfe28NfRx+bNm3l1iIiI/mEvX76EmZmZysjK5Fo2pg/nnzPNI+Cat566JaYPhf4yMk13fo+6ePHiBUxNI9dzkP5dYY+YISIiIiIiIiIioj+OATsiIiIiIiIiIqJYhD3siGIRlsISEREREcVuLIUloj+BGXZERERERERERESxCAN2REREREREREREsQgDdkShOHD0JPSsnXDv4eO/dtqsHL/chk2YoVn+6MkzdOw7FK4V6sAwdfYwz/Gd73t0HzQKbtUawTR9brWeXJPQyPYN23ZDqhxF1D4zFyqH0VPn4OvXr2Ee34oNW9U+0+Yp/svn+PL1GzTr1BspMheAQepsKFCuJnbuPxxivead+6hjMkmXC8kdcyJH8cqYvmAp/P39tdZ7/+ED+o6YAKcCpdT+5Ng8ug+A18tXWuvJJLbAazto7JRfPn4iIiIi+j23zh5C5/xGeP30/l87bVaOX2675o/WLL+wdwMW9KqPIZUzoUcRK4yolQtbZwzGpw++oe7n/uVTmNWxKnqXsEXPoikwpn5+XNi7Xmsd2X5mhyroW9pBPd7JLUt++/h9XjzB8qEeGFDOEd0KmWNo1SzYNnOI1jqnti7Fwl4NMKRKZvW4y4a0CrEf+f4FXofQbud2rdGsK+cZuDy0fRHFJexhRxRHlS7qil4dWsEmhaVm2e17D7Bq43Zkz+IE13w5sWNfyACXePXGG/OXr0W2TBlQ3DU/1m7ZGep6EuQqXasJvn8HhvTqCGtLCxw8fkoFvl69foMRfbuG2Mbb5y269B8OS/NfH2P+6dNnlKjRGK/feGNEny4wNzPB/GVrUalha2xbNgeF8ufWrOv36RM8GteFg31KxIsXD7v2H0aHPkNx9/5DjOrfXbNe8859sWXXfgzo2hbOmTLgvzv3MGD0ZJy/cg2HNy1X24ol08fCz+8TClao/cvHT0REREQkMuQrAbfGXWFkYa25IPuXTYaxhQ1Kt+wHI/MUeHzzInbMHYHb54/AY9pWxI//I+/m6pEdWNCzHrKXqI56A+dCJ4Eunt25hi+f/LQu8OHVM5EibWY4FSiJ01uX/fbFlyDb5BalYGJtj8qdRiGpsSleP32A10+0g6dndqzEe++XSJurMC7t3xjqvgxMLNFu1q4Qy7fNGoK7F48jXZ5immUV2w+Hn68P5ves99vnQBTbMWBHFEeZmiRHnhxZtZYVzJsTjy4cUp97rlgXZsDOziYFvK4eV59LZl1YAbujp87h9r2H2LFiHoq45FXLChfIgzv3HmLp2k2hBux6Dh2LLE7pYWluhoPHQs/ai8jqzdtx+dpN7Fu3CAVy51DLShYpiBxuldX+j25ZoVnXc8qPdyuFW6ECePL8BRasWKcJ2H34+FGdY/e2zdGhRSPNeSRIkAAtuvTFzdv3kC5NKrU8a8b0v3TMRERERETBJTE2gV2mXFrL3EctVwGwQKmzuSCxgTGWDW6FuxeOIXW2Amq53/t3WDHUA/mruKNShxGa9R1zFQ7xOEN2PlCBPgm0RUXAbvWoTjA0s0KryRtVkDDgOEOu13z8Wk2A8b9T+0PdVwK9hCGuwWe/D3hw9ayqfklsYKRZbmHvGLCNrt5vnwNRbMeSWIoTlq3brEoUr/13O8R9Uv5ZskZj9fn379/RY8gY5HSrrEokpZxS7jtx5kKEjyH7lyBX8HLQ0MpF123dBZdytVSJqFmGPKjdoqMqR41pQd+NC09gNllEPn/+oj4aJEuqtdzQIBn8/b+FWP/oqbNYumYTJg7tg99x8uxFJE2SWBOsCzxmN9f8OH3+Eh4/fR7u9ibGRkigo6P5Wo5VSmQNkiXRWi/wvPy/aZfPEhEREdHPO7tzlSplfH7vRoj7JjUvgeltK2ies2+a2g9jG7qgV/GU6FcmtbpPSj8jElq5Z2DJpZTQBnVx/0ZMbFZclZ1KOalnn0bw9or5ljhBg3WBbNIHRMN8XjzVLLuwbz18vV+iUO02UfY6IDJePrqLGyf2wKVac02wLqof99L+Tfj04R1ylWFVC/27GLCjOKFiqWIqgLNktXaa9Z37D3H8zHnUqVpeff3t2zc893qJTq2aYO38qZg9biiSGxuhaNX6uHTtZpQcyyzP5ajVvAMypk+LFbMnYMqI/rh49QbcqjeE7/v34W4rQSPp/RbRTZ7ExAbFCuZDmlR26DF4DG7cuqt630lZ6eLVG9C2aX2tdb98+YJW3fqjU6vGapvfoaMTH3q6IZ8c6OkFvNN25cZ/Wsvlesl1k3JcyaRbtGo92rj/OL5kSZOgbtUKmDx7EQ4dP62+T+cuXcWQ8dNURp6TY5rfOl4iIiIiCugFnDBxUpzZ/qMaQrx6fA/3L59EjpI1Ap67ffuGd6+eo3Cddmgyailq9Z6KJIbJMbV1GTy9fSVKLuXRdfPg2bshLB0yoOEwT1TrOh5Pbl3GNI9yYfaKC/TN3x/+X79GeIvK5+yBwcbADDNx98JxlXn37PZVjK6bD10LmmBQpYyqfFaOMbrcuxRQiaObMBFmtK+k+tf1KWmHpYNa4L3P6yh5jFPbliGpsRnS/UbPa6K/HUtiKU5InCgRKpcpgRXrt2Bwjw6aDDEpy0ykr6/uEzo6Opg/aYRWgKxkERdkKVwe85etxrhBvX7rOCTQ02vYODSpUw3TRw3ULM/lnBmZC5WF58r1aN24bpjbl6zZBAePRfzO4a5VC7T6tMUUff2Eqiy1WpO26vwC9WjXQt2CGj11Lj5//ozubZr/9uM6OqTCa28fVarqmNpeszwwU1LuC2rr7gOo3Ki1+lx+Nrp6NEWvDi211pk9bgja9hqMYlUbaJaVKOyigq5ERERE9Pv09BMjc+HyKtOudIu+mufsZ3asUMGfLEUCMuzi6+igTr+Zmu0k+CSBm1F18+DERk9U6jjyt45DAnJbpg1AnvINUL3HRM1yW6ccGFk7lxqUINljYZnRrgJunzsS4eO0mrIJabIXRFQMd9g5dwTS5y0Oa8csmuVvXz7DZ7+PWDygKUo07qbuu3nqAHYvGI3v37+hVNPfe20T9vEEVA6tGNYGOUvXQrH6HfHy0R1snTEI3s8fofXULb+5/ye4deYgClZvCZ0EDFnQv4s//RRn1K1aXmVOHT5xRvVqE8vWbka5EkW0Sjb3HDyKEZNm4dK1G1qBnZu3U/72MRw/cwFv3/miduVyWlNSba2t4Jg6lcreCi9gN3XEgAiz8ITsKzaQ4Qt1W3WGz7t38Jw6GikszNU5jpg8U2U8dmvTTK136+59tWzVnEkqyPe7alUuqya0NmnfAzPGDFYDLOYsXolDJ06r++PH004edsmTA8e2roTP23fYe/g4xs+cD13dBOjfpa1mnb4jJ2Ltlh0Y9z/27gKqqfeNA/j3J9LdHQIKFgImioWBnSB2d3did2BgK3YjdrciInZ3oWLR3eL/vO/+GxutoiA8n3N2kLu77e5ueO+ePTFrEiqVL8u3eeaSlbyc+fC2tflaRkAIIYQQUlxVbtKR91B7e99f1IuNBfDKOzaFnKKKaL2Xty7j/LYl+PL6CeKjI0TLgw3Sv6z9VYGPbyExLhr2zq48E05ITdcI2ial+bblFLBzGb881yw8Rtvk96s02ONsntAZJaVl4TZ5lcR1LBMxNTkRzQa4i8piLSvXQXxMBC7t9ESDbqMhLSuH/MaCgYyFfS20GyPoF126Sl3IKali57TeeHPPj/fd+1W3T+3jz61q8875ts2E/IsoYEeKDDYkgE0pZVl1LGDHepmxSZ+LxSaBsjLHVt0Hon0LZ4zo3wM6Who8644NFmDTRH9XcGgY/9nQpUeW1+toauR4e8tSJnlKnWfbXBhs2XuAB+heBpyFqZFgslUdh6pI+5HGg10s01BLQx2jp81D/ZrVUd2+Ei9LZZJTUniJMvtdTlb2pwJ5aqoq8PZagT4jJ8O+QWu+zMLMGFNHD8GMxZ7Q19XO1FOvcqUK/N9OtR0gIyON+SvWY0D3jnz4BSuh9VizCZtXLEBXF8E3u+w9ZGFmwl/L4+cuoZVz+nQqQgghhBDya1jGmaq2Ae6e8eYBOzZYIOTDa7QaNle0TtCL+/Aa4wobpzao23EIL40sUUIK3guG8QDV74qNCOE/WflrXnvIidMyMs/TOTvLFPwdbNIrC9axyatD1p6CipaexPUKqoLPFmWq1ZdYblWtPq4f2syz3vQtyiG/KQoft2rGx3XiP7+8efpbAbs7p/fyibYGloLzd0KKKwrYkSKDZUB1bNcCm3btx/LZU3jgTltTA43rCb65Y1j/MpbtlnFyaHhEFA8C5URWVgZJyckZbheZaZgBw8purS3NM92HkqLkUIN/vSSWTWplATlhsE6osk0FpKSk4s27D/z6Zy/f4H3QZ+iUE0ySFceWjR3SF/Mmj/6px3asXgXP/c/wTLjvaWkoY26GJWs28RJoe5ucT0zY9rFy6PcfP/OA3ePngp53GW9XuVJ5/vP5q7cUsCOEEEIIyadzdvvGrgg4uhVtRy/C3TP7oKSmBavq6V+OPrx0jGe7dZ2xUeK2cVERkFdSzfH+2cTR7ynJmW6XVcCJld3qmKb3hBNiffZy8jdKYr+npmD71J74+OwuBnoegV4p60zrZLVMXGry7yckZEU3l8dN+Y3HZQFcNpSk9Yh5v3wfhBQVFLAjRQobHMAypY6euYD9R0+hQ+umKCnW9yAhIRFSUpJv+/O+/gj68hXmZjmXxJoYGogCO0Is80qcQxU7PsCADbtg2/Kz/rWSWF0dLYSGR+B90CeJoN3tB4/4T309QabbzjUemTIYF6/2woMnz/h1xob6v/T4rO9JaXNBWQQbeLF5tw8vjVZUUMjxdlcDbvHbmpkItllPW/At6p0HTyQGTNy+/1jwPHR1fmn7CCGEEEJIZpWbuOHSrhV4fPUk7l84BNuG7SR6laUkxaNEhnP2FzcvISr4E7QMcy6JVdcz5hle4p76nZL43axiNcgqKCP00zu+LT/rT5fEsiqU3TMH4OXNy+jn4c1762U3xOP0xrl4fuMi9C0EXzQzzwMu8H6BuqWs8CeYlq8KZU1dvLhxEbVd0/tWPw84z3+alBVMtP0Vt0/t4a+9XSPXfNlWQv5lFLAjRUoF69KoVN4a42cuwreQMHRuJ5gOK9S4viM8vbZj1NS5aNnYCc9evcECz/W8lDY3LPi3dO0WPuG0XBkLXLl+Cz7HTkusw3rlLXAfixHuc/k0Wmen2lBRUsKnr99wxf8mGtSuye8nO1aWfz4Qd+D4Gf7zzkPBhK0zF69CS1MdZsaGorJR5vRFX8TFJ+Dpy9f8d9+AWzw4x7IWWdkr0821DZav34qWXQVDJvR1tOF38w4PxrV0duJBTqZ65UqZtoMN4GClsBkzBVkJ6vuPn/DqhuCAn50p85fCvmJ5nsHHsuxYoFZaWhpzJo2SGDaxbd8hNG9Uj2dWxsTF8efrtWs/BvXsBN3/B+pYj7uKZa0wdsZ8RERGwaacFb9PNiXWSF8PbZrSdCpCCCGEkPzCyjRZyeNRzymICQ/OFDRjAyZ8963FoaXjUb5Oc3x79xwXtnnwUtrcsODf5V0redkqmwD75q4f7l88JLEO65XXcugsHPQYxx+fDXOQU1RGVMgXPo2VlXraNWyX7WPomJbGn3TIYxzuXziIhj3G8mEc7x+nV+Co6hhATcdQtB+rNuuMMxvn8Z5vRlaVeO+/G8e2w7nPJB60E2J95WIjwhAXGcp/D3p+H7LySpCRV0BZh0ai9dYMaY7wLx/gflDwBXxWWHC1+aDp2DtnMHwWjULFeq0Q+vENTm2YzXvZiZfDfn33HN/eveD/TklMQMTXj3hw8Qj/vWzNRhLbmJqSjHvnD8DaoSGUNSRb3BBSHFHAjhQ5LLNt/KxFPPOqql36FCXh1M9lsydjxYZt2LTbB+WtSmOr50LM90yfQpUdNt2UDS1YvHojYuPi0cSpDratXIhaLTpKrNevmxuMDPR4cG/PoeNITf0OQz0dONaoApvyf+Zbrp/BhiiIGzZ5lij4tml5eur5sEmzeBmr0GyP1fwnC9ad99nG/13KxAi+R/fwfnWT53ogIjIaJkYGfNjEmEG9f2n7WJBQGEjLSXBIGMZMn4+QsHDoammhVRMnTBszFBr/L0tmWNYk66c3Y5EngsPCoKaiwgOurGTZrXUziZ6AZ7w3Y+6yNVi7dRc+fQ2GrpYmGtapyQdTsKxJQgghhBCSf6o0ccPRle48Cy1jBpl1jQZ8Eqzv3tUIOLod+uZl0Xn6Bj79NDds0EJiTBQu7lyO5IQ4WDs0QpfpG7Cir2Q/Yoc2vXjg69JuT9w9sx9p31Ohqq0Pc9uaBd477dn1s/wnG7rBLuIa954A576TRL+7TFjOA5l+PhsQGx4MDQNTtBm5INPQjDNe8yXKeK8d2MgvLCNRPDiXnBDPs+dywwKF//1XApd2rsDNE7ugoKKOKk06ounAaRLrPbhwCGc3p0/1jb3rx4OozJQDD6Chb5r+vP3PID4qHFWbdsrTfiKkqPvvR166ZRLyk1q0aAGp74nw2bSS9l0BYFlqLLttg8dsHoxi5Z//grj4eGiXrcEDoa6tss9ELEis9x37b1PB1AbuowfzIOHf4tJnGL5LyeH48eN/7TEJIYQQUviEhoZCW1sbvRbs4mWR5N/EstlYwKzDpFV8QEVBn7MnJcTBvbEpuszYCNsGbVEYsXJhlk04v4MdLOwd0cl9Lf4lj31PYMvELggJCYGWVu5JCqR4K1HQG0AI+TN2+hzhQSU2DfVfcf32fT6ZlU3xLawq1W/F9yshhBBCCCG/6/apvRhfRwvnt0pm0hWEwEc3eSmxTf3WKKzY9GC2v1hpLSFFHZXEElIEiQ+vMMhDf77CgpWgPrpSuLPH9m1cjsREwQANGkZBCCGEEEJ+lfjwClaOW9CsqtXHhD03UZixycKJsdH834pqgmm/hBRVFLAjpAj6G8MriivW95AQQgghhJDf9aeHVxRF2sYWBb0JhPw1VBJLCCGEEEIIIYQQQkghQgE7QvJhwEOfkZOLzX6UMSyH7fsO/fTt2KCGsdMXwMSuDmSNyv+RfRb48RPfviv+6an8nhu348jp8/n+WIQQQgghpHANcNgzZ1BBb0aR2U9sHbZufmGTZOd3sMe42lqY064iX5aSlIDdswZgWjMLjKmpxifZEkLSUUksIeSvOHzqPDy9tmPJjImoZmcDba2/03Nipdd21HGohtZNGv6VxyOEEEIIIaSwajfWAyWlZf/qY8aEB2P/ghGo7NwBblNWQ0ZOgS/3P7gJ9875oOOUNXzYhaqOwV/dLkIKOwrYEUL+iuev3vCfQ/t0RYkSlNxLCCGEEELI36ZXyvqvP2Zo0FukfU9F5SZuMK/kIFr+LfAlVLT0+XJCSGYUsCMkF/cfP8Msj1W4dvMOEhKTYGZsiH5d3TCsb7cs1//46QtmL12NqwG38OlrMLQ11FGremXMnzIWhvrpE1tfvgnE5HkeuH7rHqJjY6GjqYGqdjbYuWYJSpYsyae8us9fhmNnLuJbaBhUlZVRsWwZLJ/rDmtL8z/+uqWlpWGWx2ps3r0fUdGxqGpXESvmume5LitBnbtsLW7df8h/d6xeGQunjUe5Mpb899LVG+J90Gf+bznjCvznuf1bUcehKibN9cD5K9fw7kMQZGVk+HOcNWEkqleuJLp/VoLbd/QUJH96KvG47HXZ4X0Yr25kXfIqfNwd+w/zC+M+ejCmjRmaL/uIEEIIIYT8HZ9ePuQlk28fXEdKUiI0DUxRo3VP1HHLurwz4lsQzm5agDf3riEq5AuU1LVQqpIDWg6ZCVXt9EyukA+vcXzNdAQ+vIHE+BgoqWvDpFxldJ25CVIlS/IprifWzcSTq6d4ppi8ogr0Lcuj7ejF0DUr88eft7As1dGlP05tmIuwz4HQMbFEy2Fz+VRXobf3/XF5zyp8fHYP8dERUNczhk29VmjUayykZeUl7k9d3wSd3NeKlr2+44ujK93xLfAFVLX0Ub/riDxvX/D7V3z/vbnnh9TkZBiUrgDnPhNhXaOhqLT29sk9/N/rhrfmPxv3noCzmxeK7oOVwzJTDjyAhr7pb+wtQooWCtgRkoNb9x6ioUtPlDY3hcfMyTDU08GL1+8Q+DEo29uEhIVDTUUZ86aMhZaGOj59/YZl67agXpsueHTlBOTkBCnobboPhJqaKlbOnyZa7/RFXx4oY8bOWIjjZy9h9sSRsCxlirCISPjfvIOoqJgcX7Pv37/zfnG5/vGXzPnPf86yNZi/Yh1GDeyFBrUdcPv+I7TvlTnQdfL8FbTvPRQtGtfH9tWL+fYvXuUFp7bdcOf8YR6k9N7kiXVb92DLngO4elRwwC5bxoKv+y04FKMH9Yahni5i4+Kx0+cInNp3Q8ApHx68+x3scVt3Gwi7CuUweaTgZE48aEoIIYQQQgq/D0/vYM2QFtA2sUCbkQugqq3PA0XhX95ne5vYiFDIK6mixZCZUFTV5EG7K3tWYuUAZ0zYcwvSsnJ8Pa+xHSCvrIb24zygqCZY75n/Ofz4ITgnP7JiMp74nUKzgVOhZWSB+OhwvHsQgMTYqBy3OS2P5+QsKJib4A+vcWz1NDj3mQQ5JRVc2bMKm8a5Ycy2q9A1s+LrsH1hWr4KarTqDhl5RXx99xznNi9C2Kd36DZ7c/b3/f4VNox2EQUpU1OSeaAzKSEOWoZmOW4X21erBjWBnKIK2o1ZAjlFZfj5bOT7tO8Sbx60a9RzPEzKVsZBj7F8HSOrSrz0lV13bstiBL18gF7zd/L7U9HUy3VfEFKcUMCOkBxMmL0Y2prqPMgkLy84qNd3rJHjPrO3Kc8v4gG0mlXtYFmtIU5fuoo2TRsiNDwCrwM/4MCWVWjZ2Em0bqe2LUT/Drhzn//eq1N70TJ229xY13QWZbPl5GXAOZ4tmJXIqGgsX78VA3t0wgL3sXxZo7q1eJBvyrylEuuOmT4PTo41sN/LU7SsrkM1vh2eG7fxTDsWMBMGysQz55gtngsk9pVzfUfY1GuJLXt8sHTW7w2mYI/Lsva0NDUyPS4hhBBCCPk3HFvpDiU1TQzfcE6ULVa6St0cb2Nsbcsv4gG0UjbV+cCD5wHnULFuS8RGhvFyzV4Ld6NC7Waide0bu4r+/f7xLf579ZbdRcvYbXMzz9UWEV8/5rpeXrLKYsK+YdSWyzCyEjyfMlXrYW47G5zbugRdZ2zky6o07SRanwUKS9k4QE5BGXvnDEK7sUugqJp1/2gWNGNZg/2XHRD1ljOrWA3zXe1yDdhd2bsaCTFRGOF1AZoGgnXLOjTGoi7VcXrDXB6U0zIqhchgQVBRt5QVTCtU5f9W0zGEoromSkrLiJYRQiRRwI6QbMQnJMD/1j2MH9pPFKzLq/Xb9mLDjn14+/4D4uITRMtfvnnHf2qqq8Hc1JgHv0JCw3lpKMuiE1elUgVs338IWprqaFinJmwrlIWUlFSuj31w6xokJyfnup6Brna21z1+/pJnu7m0bCKxvEPrphIBu1dvA/Em8CMmjxyM1NRU0XIlRQXUqGKHqzfu5LodF3z9scBzAx49e4HwyPRvKl++Mc71toQQQgghpGhLTozHu0c30KDbaInSzrxgQw38D29G2KdAJCfEiZYHv3/Nf7IgFgs0nVw7k2fkWdo78uEH4ozL2uHWyd28pLZM1fowLGODEnk4J++zeC8vEc0N6+GWG7aNwmAdwwJrZWs54+29a6JliXHROL/VAw8vHUFk8Cd8T00RXRf68U22Abv3j2/y+xIG6xh1XSOY2VRnkb8ct4uV4bIgqDBYx7B9Y9ewPc5tWcSz9GTlFXN9foSQrFHAjpBsRERG85JNo58soVy9eSfGzVyEicP7o1ZVe6iqKPP7cWzZCYlJSXyd//77Dyf3eGG2x2oeAGPlriyAN3ZwH/Tt2oGvs3zOFOjqaGHr3gOYumA5NNRU0b1DG8wcPyLHAGK5Mha/XRL7+WsI/6mjpSmxXFdLK1P5L9Nn5CR+yYg9p5zce/QUrboPRPsWzhjRvwd0tDR4UHLA2KmifUUIIYQQQoqvhJhI/EhL++kJolf3r8dRzylo2GMM713HyjZZmatnv4ZITU4UnZMPWHEYZzbNx4m1MxAfFc6DT/W7joRDm558nbajF0FZUxc3ju3AyXWzoKCijqrNOqPpAPccA4i6Ztb5VhLL+uplpKyhg6jQr6Lf984dgsBHN9G413jolrLmAThWSsxKUVP+/3yzwu6D3Vem+1fXQUz4txy3i/XK0zQslfm2mrr8ubOyYQrYEfLrKGBHSDbU1VT4NFM2OOJneB85ha4urSQGG7wJ/JBlMIuVg7KD2YMnz7F2624MnjADZiZGPKNOSVERcyeN5pf3QZ9w8PhZTJm/DLKysryv3Z8siTXQE5wUBIeGwcoy/SD8LTRUYj0NdUGD2PnuY1CvZvVM9yMjI5PjNhw8cRYmhvrYvmqxxPLwiCioqaqIfpf9f9+/pKRkyMqm32d4RGSO908IIYQQQv5trL/cfyVKICok9/NbcffPH0SVph3h3Df9S+XQIEG1izhNQzN0nraen5N/fvUIfgc2wmfRSGgYmPKhDrIKSmg+aDq/hH/5wDPYTqydiZIycryv3d8oiY2NEHyZLo4NwFDVEvR8Y0M4nlw9CbfJq/lzFvr8+lGuj8/ug91XpvuPyP0zEAtexoR9zXzbsG88GCqnpJrrfRBCskcBO0KyoSAvj1rV7LH7wFFMGj5ANCwiL6W00hm+Kdu692C267ODGSt3XTx9Ah/K8OT5Kx6wE2dqZMiHP+w5dBxPXrz64yWxFazL8LJWn2OnUbtGFYlgpDgri1I86Pfs5RuMGdQHPyshIRFSUpL76ryvP4K+fIW5WXp2nqmhgahUt3IlwZTZlJQUnL2cXgaQHRY0pGw9QgghhJB/E8sUK2VTA3dO70PDHmziqVyeS2mlSkpLLLt5XDDcILtzclbu2nr4XNw8tgNf3z6VmMLKaOiboF7nYbh7dj+//m+VxLLJsEEv7ovKYtlze3btDMpUE/TCTk1J4j36xJ8vC0DePLE71/tm/erYfbH7FJbFsgm7bGouuy4nFna1cNV7HQ9ksn3DsO24f+EQ31bKriPk91DAjpAcLJw6Dg3a90Cd1p15ySabZPr63Xs+MEI4jCGjxvUdsdJrB8pZWcLa0hznrlzD0TMXJdZ5+PQFxkybD9dWTWBhZoLvaWnY7n0Y0tIlUbem4MBYu2UnPnlVGDzzDbjFbyc+hCIrvztZlWHZbSMH9MTcZWuhoCAvmhKbMfDITmxWzHVH+97DkJiUzEtbWX++r8GhCLhzD6VMjDGsb7dsH4ftK0+v7Rg1dS4fvvHs1Rss8FzP97O4KrYVYGFmjIHjpmHa2KG8xJhNnWVBu9xYlzbH1YBbfAKvtqYG9HV1YKCXOe2fEEIIIYQUTi2HzsGaIc2xckBj1O04hE+JDfn4FqGf3qLlkFlZ3oYNPPDdt5aXh7JJqi9uXMDjqycl1vn8+jEOL58I2wbteO86Fmxi/epY4MvSvjZfx7NfI5Sv3RT6FuX49NU3967x21Vrmf05LqNvkT6E7nexEtPtU3rybEE2Jfby7pVIiI1Cw55j+PVsGq5p+ao4uX4Wz0aUkZNHwJFtPNMtNw17jsP9i4exYVR7vm+FU2KVsiiTzaiO22C+v9aPaCPYNkVlXDvghZCPr/mUWELI76GAHSE5qGJbEZcP78SMRZ4YMWUOUlJSYWZiiAHd01PNM3IfORhRUTE82MUyu+rUqIoTuzfCyqGxaB09HS0YG+pj+YZt+PTlG+TkZHhg7sj2dTzbjnGsUYVnuC1e7cWnp5YyNcbSWZMwqGfnv/KauY8ajLS0H9i0y5v35atmZ4ODW1fDtn4rifWaNqiLiwe280Ab6z2XkJgIPW0tVK9sC7fWzXN8jMb1HLFs9mSs2LANm3b7oLxVaWz1XIj5nusz9dvz2byKvwbdh4zj/fyG9e0Oh6p22OF9OMfHmDNpFEZMnoOug8ciOiYW7qMHS5QrE0IIIYSQws2knD2GrjuF0xvm4aDHOD5QgZWs1mzbO9vbNO49nge12PCD1OQkmNvW4pNQ57mkD29Q1tDlAxbYtNOo4M8oKSPLA3N9lnjzbDvG3LYmzxi7uGM50tK+Q9PAFG1GLoBj+374W3RMLOHoOgCn1s/h2Xbaxpbos3gfD0QKdZ3lhQOLx8B7/jBIy8ihUoO2qNG6JzaNc8v5vk1Lo5/HfhxbNRU7pvXmwVCnriMR+PgmIr5kbusjjq07dO1pHF8znT82y/QzKF2RB+tYwJQQ8nv++5GXTpiE/KQWLVpA6nsifDatpH1HSD5x6TMM36XkcPz4cdqnhBBCSDEWGhoKbW1t9FqwCxXq5PwFKfm3scxCZvDqEwW9KSQfPPY9gS0TuyAkJARaGQb6EZJRiUxLCCGEEEIIIYQQQgghBYYCduSPoeRNQuhvihBCCCF0vk0Ioc/I5OdRDzvyR8jLyyMyOIL2LiH5KD4+ARp6mrRPCSGEkGKOnWszKUkJBb0p5A+jUtiihU3jZRQUBBN5CckJZdiRP6JcuXK4/eAxkvMwypwQkrukpGT+N1W2rGAoCSGEEEKKL/Zh38jYBO8e3ijoTSGE/ITAhzf4364w6E5ITihgR/4IFxcXREZFY9u+Q7SHCckH270PISo6Bq6urrQ/CSGEkGLuv//+QwdXFzy6dAiRwZ8KenMIIXnA/lYfXT4Mtw6u/G+YkNzQlFjyx/rX9e7dG9u3b8fI/j3QoXUzWJYyhYy0NO1xQvIoOSUFr9+9h/eRk1i+YRu6d++OzZs30wGeEEIIIfjw4QMca9dBwvf/UK/LCFjXaAhFNU389x/lZBBSWPz4kYa4yDA8DziPy7uWQ14K8LvqCxMTk4LeNPIPoIAd+WPS0tIwadIkeHl5ITw8nPY0Ib9IQ0MDffv2xfz581GiBJ2EE0IIIUQgMDAQffv2w6VLF/m5NyGkcGLn8PXrO8HLayPMzMwKenPIP4ICduSPS0lJwfXr1/HlyxekpqYWuz0eExODqVOnQlFREdOmTYOsrGxBb9I/ISkpCbNmzUJcXBxmz54NZWVlFDclS5aEvr4+HBwcIE3ZqYQQQgjJRkhICG7cuIHo6Ghe6UJyRufnv4bOz38eK31VUVFB9erVoa2t/Yt7nhRXFLAj5A9iAUpnZ2c8evQIt2/fptTnn/T+/XtUqVIFlSpVwunTp3kAixBCCCGEEDo/Lxh0fk7I30O1VYT8QePHj8eVK1ewf/9+Ctb9AlNTU77vLl++jAkTJuT/C0QIIYQQQooVOj//PXR+TsjfQwE7Qv6QHTt2YNmyZVi+fDnq1q1L+/kX1atXj+/HpUuXYufOnbQfCSGEEEIInZ8XIDo/J+TvoJJYQv4AVv7q6OiIzp07Y9OmTTTVM5+mDu/duxd+fn6oXLly/rxQhBBCCCGkWJ2fd+rUCZs3b6bz899E5+eE/HkUsCMkn3379o33XTMwMODlsHJycrSP80FiYiLq1KnDh5ewEy5dXV3ar4QQQgghhM7PCwidnxPyZ1FJLCH5KDk5GS4uLnwy7sGDBylYl49Y4JPtU7ZvXV1d+U9CCCGEEELo/Lxg0Pk5IX8WBewIyUejRo3CjRs3cODAARgaGtK+zWdGRkZ83wYEBPB9TQghhBBCCJ2fFxw6Pyfkz6GAHSH5xMvLC2vWrMGqVatQq1Yt2q9/CNu3K1euxOrVq3l/QEIIIYQQQuj8vODQ+Tkhfwb1sCMkH1y/fp1PS+rVqxfWrVtH+/QvGDhwILZs2cL7BNaoUYP2OSGEEEIIyXR+zgaXrV27lvYMnZ8T8s+hgB0hv+nz5898yIS5uTkuXrwIGRkZ2qd/qV+gk5MT3r59izt37kBfX5/2OyGEEEIIofPzAkLn54TkLwrYEfIbkpKS+Dd3Hz9+5JNL9fT0aH/+RV+/fkXlypVhYmKCy5cvQ1ZWlvY/IYQQQkgxRufnBYvOzwnJP9TDjpBf9OPHDwwePBj37t3DoUOHKFhXAFiAlO37u3fvYsiQIfw1IYQQQgghxROdnxc8Oj8nJP9QwI6QX8R6YWzevJn3rKtatSrtxwJSrVo1/hqwARTUP5AQQgghpPii8/PCgc7PCckfVBJLyC/w9fVFgwYNeIbdihUraB8WAsOHD+cnaayPYO3atQt6cwghhBBCyF9E5+eFD52fE/J7KGBHyE9i/epY37Ty5cvj7NmzkJaWpn1YCKSkpKBRo0Z49uwZ7ydobGxc0JtECCGEEEL+Ajo/L5zo/JyQ30MBO0J+QkJCAs/eCg0Nxa1bt6CtrU37rxAJCQnhE3vZ63L16lXIy8sX9CYRQgghhJA/iM7PCzc6Pyfk11EPO0J+oolt//798fTpUz7ogIJ1hQ97TQ4fPsxfo4EDB9IQCkIIIYSQIozOzws/Oj8n5NdRwI6QPGK96nbu3MmHG9jZ2dF+K6TYa+Pl5YXt27fD09OzoDeHEEIIIYT8IXR+/m+g83NCfg2VxBKSBxcuXICzszNGjx6NRYsW0T77B4wbNw7Lli3DmTNn+IAQQgghhBBSdND5+b+Hzs8J+TkUsCMkF+/eveN90djl5MmTkJKSon32D0hNTUWzZs1w9+5d3m+wVKlSBb1JhBBCCCEkH9D5+b+Jzs8J+TkUsCMkB3FxcahZsyZiY2N50EdDQ4P21z8kPDwcVatWhbKyMq5duwZFRcWC3iRCCCGEEPIb6Pz830bn54TkHfWwIySHJra9e/fGmzdv+CADCtb9e9hrxl67V69eoU+fPjSEghBCCCHkH0bn5/8+Oj8nJO8oYEdINlivOm9vb2zbtg0VK1ak/fSPYq8dew337duHxYsXF/TmEEIIIYSQX0Tn50UDnZ8TkjdUEktIFk6fPs37n02ZMgWzZ8+mfVQEuLu7Y968ebwPYZMmTQp6cwghhBBCyE+g8/Oih87PCckZBewIyYCVT1arVg2Ojo44cuQISpSgRNSi4Pv372jdujXvZcf6EVpaWhb0JhFCCCGEkDyg8/Oiic7PCckZBewIERMTE4MaNWrwg8eNGzegqqpK+6cIiYyMRPXq1SEtLY3r16/zYRSEEEIIIaTwovPz4nF+XrJkSQQEBND5OSFiKHWIkP9LS0tD9+7d8fHjRz6ogIJ1RY+amhp/bT98+IAePXrw15wQQgghhBROdH5efM7P2Wcw9lmMzs8JSUcBO0L+b86cOfxgsWvXLlhbW9N+KaLKli2LnTt34tChQ5g7d25Bbw4hhBBCCMkGnZ8Xr/Nz9lmMzs8JSUcBO0IAHD16FNOnT8esWbPQsmVL2idFXKtWrTBz5kxMmzaNv/aEEEIIIaRwofPz4oXOzwnJjHrYkWLv2bNnvG9Cw4YN4ePjQ0MmigmWbt++fXtcuHABN2/epKxKQgghhJBCgs7Piyc6PydEEgXsCIp7k1M2EVZGRoaGEBTjJsapqak8aEd9CwkhhBBCChadnxdvdH5OSDoqiSXFFpsE26VLF4SEhPB+CTQxtPhhr/mRI0cQHBzM3wvU5JYQQgghpODQ+Tmh83NC0lHAjhRbrGfd6dOnsXfvXlhaWhb05pACwl77PXv24OTJk/w9QQghhBBCCgadnxOGzs8JEaCAHSmWWK86NoFo/vz5cHZ2LujNIQWsSZMm/L3AJpEdOHCgoDeHEEIIIaTYofNzIo7OzwmhHnakGHr48CEcHBz4NFiWWfXff/8V9CaRQuDHjx/o2LEjTpw4wfsZVqxYsaA3iRBCCCGkWKDzc5IVOj8nxR0NnSDFSnh4OKpUqQIVFRVcu3YNioqKBb1JpBCJi4tDzZo1ERsbi1u3bkFDQ6OgN4kQQgghpEij83OSEzo/J8UZlcSSYoNNAmUZVNHR0XzIBAXrSEbsPcHeG2w6GXuvsPcMIYQQQgih83NSMOj8nBRnFLAjxcakSZNw8eJFeHt7w8zMrKA3hxRSpUqV4u8R9l6ZPHlyQW8OIYQQQkiRRefnJC/o/JwUVxSwI8XC7t27sWTJEnh4eMDJyamgN4cUcg0aNODvl8WLF/M+h4QQQgghJH/R+Tn5GXR+Tooj6mFHiry7d++iVq1a6NChA7Zu3UpDJkiem9z26NGDTyxj/Q7t7OxozxFCCCGE0Pk5KSB0fk6KGwrYkSItJCSED5nQ0dGBr68v5OXlC3qTyD8kISEBtWvX5u+j27dvQ1tbu6A3iRBCCCHkn0bn5+R30Pk5KU6oJJYUWSkpKXB1dUViYiIOHjxIwTry01iA99ChQ/zEgGVosvcUIYQQQgih83NSMOj8nBQnFLAjRdaYMWN4KSMraTQ2Ni7ozSH/KPbeYe8hPz8/jB07tqA3hxBCCCHkn0Xn5yQ/0Pk5KS4oYEeKpC1btmDlypXw9PTkJY2E/I46depgxYoV/P3E+iASQgghhBA6PycFh87PSXFAPexIkXPjxg3+H3j37t2xYcMGGjJB8q3Jbb9+/bBz507eD7FatWp8eVBQEFJTU2FmZkZ7mhBCCCEEQGBgIEqWLAkjIyM6Pyd//fyckKKCAnakSPn69SsqV64MU1NTXLp0CbKysgW9SaQISUpKQr169fDx40c+hEJPTw+DBw/Gw4cPecksIYQQQggBHB0dUalSJaxevZrOz8lfPz8npKigklhSZCQnJ6N9+/b8m5YDBw5QsI7kOxYAZu+ttLQ0uLi48PectbU1PzlgJwuEEEIIIcUdOye6desWP0ei83NSEOfnhBQVFLAjRcbw4cN54IRNhNXX1y/ozSFFlIGBAX+PsRPRESNGoEaNGvzE9MGDBwW9aYQQQgghBe7+/fs8aMLOkej8nBTE+TkhRQUF7EiRsH79en5Zu3YtPzkg5E/4/Pkz/P39Ub16dV7isW7dOn5iICMjg4CAANrphBBCCCn22DkRy3q6efOm6PycnTuxcyh2LkXIn8A+AwrPz1kfc0KKAgrYkX8e6x02bNgwDBkyBL179y7ozSFFmLe3N2rVqgV7e3soKChg4MCBGDVqFEqXLk0BO0IIIYQQgJ8TsXMjdo7EzpXk5OT4uRM7h9q/fz/tI/LH9O3bl/eXHjp0KK5du0Z7mvzzaOgE+aexCZ1VqlSBlZUVzp8/D2lp6YLeJFKEsf6I7H22ePFinDt3jg83kZKSwpcvX6Cjo8MnohFCCCGEFGfs/CgkJIS3qElNTcWHDx/QuHFjjBs3Dg0aNMB///1X0JtIijBWjt2wYUO8fPkSd+7cgaGhYUFvEiG/jAJ25J+VmJiIOnXq8GAJ+8+YBUwI+Zv9WZYsWYK9e/fi+/fvfBmbTmVkZEQvAiGEEEKKJXYuZGJiwv/NvtTs2LEjxo4dC1tb24LeNFKMfPv2jSd1sN52V65c4VmehPyLqCSW/LOZTizF/tGjRzh8+DAF68hfx048d+7cibdv36Jz5868j11ERAS9EoQQQggptiIjI/k5ETs3YudI7FyJgnXkb9PV1cWhQ4fw8OFDDBo0iH92JORfRBl25J+0cuVKPnVqx44d6Nq1a0FvDiGEEEIIIYSQQoR9VuzevTv/7Mj62hHyr6GAHfnnXL58mfclYCO7PTw8CnpzCCGEEEIIIYQUQqNHj4anpyfvQ12vXr2C3hxCfgoF7EihxhrWsgy6ffv2QU1NDe/fv+f9CCpVqoTTp0+jZMmSBb2JRUZaWhquX7+Oixcv8tJOSh0n5N/DGnmrq6vDyckJDg4OKFGCOl8QQvLmyZMnOHnyJO/9JOzNSgjJHevVx0owmzVrhvLly9MuK2TY4BNnZ2deHsv6nrMei6x0283NjZdsa2trF/QmEpItCtiRQm3Pnj28B0ZwcDAUFRXh6OjIg0m3b9+GpqZmQW9ekTpJb968OQ+IqqurQVdbm598EEL+LexD9reQEERERPIpfSdOnKAPD4SQHIWGhqJ5i5a4eSMAsvKKUNbSRwn6QpSQPEtLTUVM6BckJcShWvUaOHH8GLS0tGgPFrL/56pWrcq/1PTz80NsbCwPsrLPmmwwCiGFFaUnkUItICAAFhYW/KDXpUsXvHjxAv7+/hSsy0csSFe/fn0Y6Oli25njqFmjGmXlEPKPZ8v6B9zEiLET+d/2rVu3ePCOEEIySkxMRH2nBggM+oJW07fDrEoDlJSRpR1FyE9KTU5C4O0LuOg5hv9N3bp5gyaTFiLssyQbVMiqD/r168cz68zNzflnTQrYkcKMamVIoXbjxg3UqFGD96pj34Bs2bKFl8OS/LN161Z+wn7m6AE41qxBwTpC/nGsDJb9LbO/afa3vW3btoLeJEJIIXXmzBk8fvQQrWbugmXNZhSsI+QXsUA3+xtif0vsb+rs2bO0LwsZ9hmSfZbcvXs3li5dyj9jss+ahBRmFLAjhVZSUhLu3bsHVVVVTJgwARMnTkTdunXh7u6OOnXqID4+vqA3sUhg3za1bOYMLS0qMSakKGF/0y2aNsahQ4cKelMIIYX4HEDbzBp6VvYFvSmEFAnsb0nbzIqOvYUI+8zIPjtOnTqVD51gnyvHjx/P+6PfvXuXf+YkpLCigB0ptFiwLjk5mY/jrlWrFu89wMq6li9fjpo1a0JeXr6gN7HIlMRWLF+uoDeDEPIHVCxfnv+NE0JIVt4FvoeGGZ0DEJKf2N8U+9sihQP7zMg+Oy5btox/lgwPD+efLdlnTPZZ8/79+wW9iYRkiwJ2pNDy9fUVNVFnzUGPHTuGadOm4ePHj1iwYAGfhkh+HztQycpSvxpCiiI5OVn+N04IIVlh/z+UlKZzAELyU0lpOTr2FiLsMyP77Pjhwwf+WfLo0aP8s6VwGrbwMychhREF7EihxZqBMmyCz4YNGxAYGIjJkyfz6T6E/A1Hjp3EitXrfvp223buQUnlf3c6GNt+dslo5ryFsChvh6Lg2MnT6Nq7P8rZVYe0ijacmrbKdl0//wA4NmgKJW0jGFmWw9hJU3lvuJ+RkpIC2+q1+fsi47712rIdLdp3hEmZClDRNUGlao5Y6rma30bc+UtX0LB5GxhalIOCpgFMrSqiU48+ePb85U8+e0IIyZ3/joVY6vzvHsvIvy0xJhJnlo7AGpfS8GxlAp+J7REa+CzP79usLitaGIrWiwh6jUtrJ2P7wDpY2doU6zuVx5EZ3RDy7mmm+/Qe1yrL+7t78OfPEUnB0dDQ4J8l2WfK9evXQ0dHR+IzJyGFEU2JJYXWzJkz8enTJwwePJgGIZACceT4SVzxu4YRQwb+1O2aOTeC34XT+Fdt2yUIKPXo2klieZ8e3dCqeVMUBUePn8KDh49RtYo9knLIQHv4+AmatHZBk0YNcGT/bgQGvseEqTPwLTgYOzatz/PjeaxYjdCwsCyvm7NwCRrWr4dei+ZBQ0Md167fwNRZ83Dn3n3s2rJRtB4r4bCrZINB/Xrz/nQfP37CoqUr4NiwCR7c8IORocFP7gVCCCGk8Pnx4wcOT++CmOAgOA1dCFlFVdzctxz7x7dBt7VXoKSpl+1tKzbpxqcdi0tNjMfBKR1gUaOJaFngncv4+MAP5Rq6QcfSBklx0bi9fyX2jHBGx2UnoWNRUeI+dCwrwmnoYollqrrG+facyd8jJyfHJ8X26dMHa9asgZGREe1+UmhRwI4UWm3bti3oTSDkl2hra/FLYSp5kpGR+e37YQGhvxkUSktL4z1gLMxL5ft9r1+1TPRFQE7ZdTPnLoSpsRH2bt+EkiUFh0y2L3sNGIJxo4bDpkL5XB/r7btAzFu8FOtXLkW3PpmDv7euXpR4v9SvU5t/WGGPPX/WdJgYC04kO7Rvyy/iqla2Q/nKDjh45BiGDx7wE3uAEEIKXmpyUpaTabNbXhgU5m0TSuOlfj9QQurPftSLiwhGSRl5yCoq5+v9vrl+Cp+f3ECHJcdgVNGBLzMoVxVe3e1x22cV6g2Yk+1tlbUN+EXc0/PeSPueinKN3ETLrOu1hW2rPhItdkxsa8Orux3uHd4I5zGeEvcho6AMg7JV8vFZkoLGzgOHDh1a0JtBSI6KdcCOlRslJCQU9GaQf6xpqbS0NIoDVv44e/5i3L9xFUNHjcPtu/ehpanBs81GDRssWu9j0CfMmrcIvtf88enzF2hracKxZg0smD0Dhgb6fB0WTOjQtRfuXr+SKcBRo25DnqJ+8pA3At9/gGUFe6zzXIo37wJ56WB8QjzP6mLLPn/5imFjJsA/4Cb0dHUwbdI4dOnYQeL+Hjx6jOmz5+Oq/3UkJSXD3rYS5s+ahloO1UXr9B4wlGfO7duxGSPHTea3YUGZGe4T4dK2tWid7bv38n8Ly1vrONbExVNHc913bLv7DBqG1JhQ0TJ2H1MnjYOykhJWrt2AyKgo1KxRHWtXeIgCMkIbN2/DOq8tePHqNeTl5WBrUxGL5s7k2VW5Ee7DNSuW4OWrN9i7/wC+BYcgJvgjXr99h/mLl+L6jVsIDgmFgb4eGjeoj9nTpkBdXU0UvPL185d43t07d8Tm9av4e2L7rr148+Se6PG+fP2KSdNm4dSZ84iNi4NVaUuMGTEk0+vyM1iJ5449+7DH24c/54N7dyC/CYN1uR0jzpy/iLEjh4qCdYxru9YYMGwUjp44laeA3ZBR4+DWvi0cqlfL8vqsgruV7Wz5T/Y3lfH9IU5TQ4P/FN8+QgjJT6wM8cLKcfj68j7kVTRQud1AVG6ffh7AfHl+F9e2zMGX53f47/rWlVGrlzv0rdOnz55eMhRBD6+h6YR18N04HcFvHsO+TX+YVXHimVOtpm/Hm+unebBGSloaA/Y8RVJcDPy2zMHra8eRGBMBFV1j2DTvCfu2A3mghQWm1rqWRlW3EajmNoI/zudnt7F3ZBOUqtYIbWcLMsa/pyRjdXsLOPZyh31bwZcb8ZGh8N82H28CTiMhOhxq+mao7DIEFZt0FW3zk7N7cMZjGNyWnsCdA2vx4d4VaJpaodPy3LPoA29fxPWdixH2/jl+pKVBSUsP1vVd4NB1nGid4DePcH37QgQ9DkBqciJU9Uxg06yHaBvZlzd3D63DwxNbEf3tI+SU1WFZqwV/HuJBMlaeWaPLWEhJy+LhyW2IDf2MHuuvQcOkNF75Hcet/SsR+u4ppEpKw9S+PuoOmJ0pqJVXKUkJ/DV6dsEb7+9cRueV5zJlo/2uNwFnoKxjJArWMbKKKrCo4czfIzkF7LLy9NxeKKjr8PeakLyqZqb12GOoGZgjNuzLbz4DwrDpqzSBlfwJsrKyxaYHe7E7w//69StWrVqF/fv24uXrNwW9OeQfVKa0JVw7uPFvZPT0sk/JLyrad+qOfr26Y9K40Th05BjGTZ4GVRUV9O4hOKENDgmBqqoKFsyaDk1NDXz+8oX336rTqBme3LnO085ZwI0Fh1ggauXSRaL7vnv/AQ8E+uzaJvGYLBvJqW4dbNmwGk+fPecBIakSUrj34CH69e6B0cOHYN3Gzeg1YCgq29nB2qq06P7qObeEva0NNqxazh+brde4ZTtcu3iaB76EWMCsR99BGDl0EMzMTLFt52506dWfT8y1KlMaUyaMQUhoKH9Mn93b+W1UVH7vG2QW7GL37blkAZJTUjDBfQbPuLpy9rhoHdYfbfmqtejbsxtmTp3ET9ZZgI0FbvISsBOas2AJDxCtX7UcyUnJPNDMgquWFuY8eMRG2b95+w4LPJbj3oNHfP8wq5YtRo++giywlUsFpR8sCJuVuLg4ODVphcioaMyd4Q5DQwPs3rcfPfoNRnx8An+t8io0NAx7fQ5i5559/D1hamKMzm6u6NGlo8R6qampebq//AhgvXkbyHvVVShXVmI5e19ZlDLDs+cvcr0Ptj/u3L2PHV7reEAzry77+kFKSgqlLcwzXceaJLPL+w8fMXn6bB68dv1/oJkQQvLbkRndYdO8O6p3Go1XfsdwZcM0yCiqiAJbIW+f8B5fWmbWcB67ki+75e3Jl3VecQba5ulfbLCg26mFA1HFdRgPOknLKSAlMZ5fd2HVeFhUd0azSRvwPTmRB7kOT+3Eg1o1e0yEpqk13t44iyvrpyIhMgyOvd1RQkoKBuWr4+ODa6KAXdADP5SUlcenxwE8oMfWYYHE1KQEGNvU4uuwQOC+Mc15IK9m94m8f+i7W+dwbvkopKUko1LL3hL74OSCAShb3wW2LXsjLU3QqD4nkV8CcWRGV5R2bCkIpJWURsSnN4j6+l4iyLl/fGuoG1qg/qB5PKAX/vG1xDrXtszlpaC2rfvBvHpjHvzz37YAoW+foMOSo/hP7MunR6d3QsPIEvUGzoWUtAzk1bTw4PgWvl8rOHfmgUJW9nl9x0J4j2uNbmsvQUZeKU/vAXYu8unxdTw9vw8vfY/y4KKpfT00Gb8GmiZW6eulpeHHj7Rc7++//0pIbHtG7Hmy91NGLFj69II3DxpKy8rnadtjgj/h40M/2LcZkGvGYUJUGH/sik27Z7ru28sHWNXWDKlJidAwKcODxmy/EkmvX7/G6tWrceDAAT4okJA/xdjYGO3bt8eQIUNgaWlZZHd0sQrYff78GfXq1sG3L5/QorI5htRvCAVZadCsUZIXP9i3sUkpuPHiM1Yu94D3vr24fMUXBgZFu28U65fFglqMc0MnnuU2e8Fi9OzWmWcpsUwgYTYQwwIJLHPMvJwtTp+9gDatmvPgCQvwscyyhXNmQEFBga/LAnj6erpo0cw5U1DUa62n6DFZTy+WcbVrywa4ubTjy6vY2UKvlBUOHj2GyeNG82UsAFbK1ATnjh8SZUKy27Mm/vMWLYX3zi2ix4iKisbhfbtQu5bg29s6tRxw9vwlHDxyHJPGjeJlmNpaWvzbmxrV8qcEQk5WFkf375YIJrl1682DnAb6+nj95i0816zHmBFD+X4SatksvedKXhkZGvIMQnFNGzfkF6GaNarxAF79Ji15YJIFBMtZW0FZWRCYzO15b925B6/evMXlM8d5VqXwMVhG34y5C9GnZ7ccM9nYt67HT53Bzj3eOH3uApSUFNG+dUssmjuLvy5ZTYKWU89bkFw8u/FXhUdE8J8suJkRG34THhGZ4+0jIiIxdtI0nuHJes7lNWDHMj5Xr/fiQVt2u4xq1m+MO/ce8H9bWpTCueOHC1UJNiGkaLFt1RuV2wnOA1iGUmzYVwTsXIwKjTvzoEvAriUoKSMHlwWHRFlfLIuLlRYG7PZAS/f0Y1FyfCyaT96EUlXTe4yxPmKMUYUaaDjCQ7T8bcAZfHoSwINC5RoIsrbNKtdHalI87hxcy7Ph5FXUYVzJEdd3LML31BQeGGP3V8G5C89KC379AHpW9nyZnIoGtP4fPLx3eD2igz+hx/qrUDMQtF0wta/LA3ksK65isx480CdkXa8dDxDmVfDrhzwY2GDYEtE+MbGrI7GO78ZpPMur4/JTouCTiW36OgnREbhzcA0qNOkCp8HzRc+f3eb0osF4d+s8D+IJlSghhXZzvXmwju/rhFhc3TSLB1YbjVwmWo/tj619HfDk7F7Yte6b4/NgQUZWTvrswn5Ef/sAPZY52XMKLyfNKkPt+q7F/L2Rmxpdx6FmtwnZXs8Cu8LXRRzLMMSPH0iKjcpzwO7Zxf08kFiukeQXgFm5uGYiCyfCvm1/ieWGFRx4dqS6kQV/bLZPzi4djvjIEFGgmABPnjyBk5MT0n4Azdu4oKJdZcjJ5e11IuRnJCYm4NG9O9i5azd2796Nixcvonz53Kte/kXFKmA3cMAAxEaE4MIsN5TSzfwBjJC86FK3PEZ9i0SreYf4e+rosWNFese1byPZ38u1XRucPHOOZ3wZGwmmba3z2owNm7bxMlaWdSXESjqF+vXqgfmLl8H7wGEe7IuNjeUZVUMH9s+UDcUa/ItjWWlM4wbppQyshFNHWwtBQZ/476y8nZVyuk8cywM94plYDerXxf6DRyTuk2XLCYN1DAvMlba0wMegIPwpjRrUl3iuwsytDx8/8YDdhctXeN82ltH4u7IaDsF62bHhByyL7f3HIIlJpy9fvf6pDD7m6rXrPBNOGKwT6uLmykuCX7x8jbLWZbId5tCgWWvExcXzIR27t2xE86aNc+21F3DlHP4VE9ynw7yUmSgbNS9YiTHLamWlxeJBW3FbN6xFdEwM3gUG8mzWpm1c4HvuZI6ls4QQ8qvKOEqeB1jVaYN3N88hNvQLlHUMEfToOiwcmkiUaLJ/s2WBty5I3JaVbIqXJYqzcJA8bgU9vs4zoliwTFxZJ1c8Pr0LX1/cQamqDWFcqRZ8N8bh24t70C1ji09PbqKKy1B8e3WfB+qEATtWXin8IoiVq7KeaKzElvU2EypVxQlPzuziE0RZNld225YbbfMKKFFSGifm9+PBQ/bYCmrpX6ywrMLPT2+imtvIbANPX57f5kE/9nzFsf1x1mM43+/iATuzqg1EwTp++6e3kRwfA2snF4nnqKJjBHUjS3x6dD3HgN0Zj+F4cnY3D5yx3m9sO9QNM2d9i7Np1l1im7KT09CI/MayAtnACPFMz6zc3LcCLy4fQpOxq6GqZypxXa0ekyR+t6zZDEdmdkfALg/Yte7HM0UJ0KlTJ2ho6WD30XPQ0KQvEsmf5dKpO0ZMmIrOrRrx997Dhw+L5C4vNgG7yMhInD5zGjM71qJgHfltLOA7tKktZnqfQVRUFFRVVYvsXmVBMYnfdbT5T5ZpxwJ2q9Zt5GWcLCutlkMNqKooIy3tB2o5OSMxKT0gxPrZsUyxjVu284DdHu8DPFjDsogyUs+Q0SQjI8iWE/ZZS18ug8TEJP5vlu3EsvtYo352yShjplfGx2BkZdPv70/IuP3C3gvC/RQWLsjoyo/BDqxMMiNWPum1dTumTRoPO1sb3k8vKOgzXLr0+KXnzTLQ9HR1My3X/f9jCzPUssLKPRXk5XmmY1S04MK2IbeAnXhZ858mfI+w40dGERERMDbK/nW6cesOz0A8d+IQf44MC7Ix8QkJiIyMgpqa5P8b4eERaNralX+gPHFoH5SUsi5VEgZBq1etjCaNGsKigh2WLF8JT4/M73tCCPldrLRSnIK64DwgNvwrD9ixbChFjczHAkV1HX5dxttmlT0tuE7yuMVuK6+qkamMUVFd8FjC+9axsIGskioPyrFyzB9pqTAoXw1GNrV4qaxdm/748uw26vRL/xKEZUZFfn6H5c2yDhyxnnYSj6mR+ZiaExbYYtlut7xX4tSiQfieksQDh3X6zuDBu8TYqP/3tRP0+s2K8Pll3Ldsf7BswYz7lu1vcfFRIfzn/nFZt0wQDyBmRVpeEf+VkEJKYhyS46KRHC84luWEvTYKaoL3R24lsTmRU1JDUmzmYy9/zv/9x1/vvGBlx+EfX/Ey4Zywvn9+m2fDsfc0icEUOWGB0zf+J3kJLXtti7tnz57h0aNH2LjrIAXryF+joamF0VNmon+X9nj+/DmsrTOX0v/rik3A7tatW0hJSUWDSpLfmBDyqxrammHKTl/+3mrYML3MsKhhwwmEmXT892DBCSDrScfs8zmEbp3cMH1yemkD642WlYH9eqNJq/Z49OQpNm7ZhsYNnXiGVn5QU1URTHsa1A+dO7jgX8SGejAse/F3J6Nm9YHI+8AhjB05jPcAFIqKFgSRfoWGunqWr/W3b8Gi67NTvqw13j17gAuXfXnG34hxk/hAkZbNnHnvOlbKnNWAl79ZEmthbsaDqk+ePRcNI2FYZuLbwPdwc5XM+hD3/MVLni3ZoGnmD0rDRo/nl9iQIN4Pj4mJiUGzdh0QFh6OK2dPQD+P/TFZ0M/SvBQfKEIIIX9CQmQoD8wJxUcIzgOUNPREZYpx4d+ynCDKSxjFZBesy+o6dtuEqHCeHSYetIuLEDyW8L5ZWa5hhRqigJ1eGXue8cRKZe8f9eKZaCxgxgJ4ovtW0YChhi4fvpAV1gsuw9bhZ7GJo+zCpsp+fnoD/tsX4tDUjui7/T7klFT5drPy4uwInx/btxrGgkoDhu2PxOjwTPuWBbIkby84p2AlxeK3F8qtfx0rw2Xlns8v+uDphf24e2g9793GMu3KOrnw7MQ/VRLL+hV+fHA10/KwDy959ltey2Gfnt/LMx2t67fPdp1nF334UBXWV7Ga23D8tBze08WJn58f/xuu7dSooDeFFDN1nBrz9x57D1LA7h8WHS34VkhTuWDq6E/efoMPodEY2MQOxdnzoDC47/TFzVefIStdEk3tzTGrS22oKQo+tGan1Rwf+D8XlD5m5FTRFN4T2vB/fwiJhv2o9D5l4t6sHwhVxfRpMnO9/XH/3Tc8eBeM8NhErOzfCJ3qlMvzcxG+l1iGXVF24PBRUQ87Zv/BwzyAJ5wAy0pRpaUlY/9bduzO8r4a1KuDMpYWGD5mAu7ef4iDewTDHPKDoqIiL8189PgpKs+3zfFDQV796Yy7jBrUq8uDjiwLccHs6fl+/yyzS7qkZBBs645dmdZjQSphVlhO2NRcn0NH+NRe1g9PaM/+A9DV0YFVmZwbwLLn2sipHr+wUmrWP5D1KmzXsRsP9rFprKycVLxU92+WxLJsPxY43H/gMKaMHyMqZ2Z/E6z/Xoumkr0XxTk3csL5k4czBTLZYJNxo4bz64XZhOxvqJVrZ7x9G4iLp4/yMtq8+hYcjOcvX6N758q//DwJISQnL/2OinrYMS98D0NZ21CUHWZkU5P3m2PllzIKgrJY9m+2zNi29i/vXKOKNXF7/yq8uHKYB4jEAyystFbPKv3/PRacu7Z1Hh+GIHxMw/LVeEnpbe+VvN+alln6ACFWlvvg2Gao6ppk2YstP5WUkeW96VIS4nBkRjc+tV3H0oYPy2CTVqt3GsV7AGakb12Fl7g+v3SAPz+hF1cO8aCd+ATVrBiUqwYZBSVEfQkU9QD8Wax0tYrrUH4JefOYl5feP7oR17bNg2H56vx1KdvQTRRAy6+SWFZOzcpxPz25wR+HYf0F2XuqXMO8PRf22rMS11JVGmSbTfja/yTOLBmKik26oU7fnzvvYoFMaTlFHlwkgs/aSsrKoi8iC4MzJ44g6EMg+gwq3n0GXz57gtlTxuL2DX/IysqhUbOWcJ+zGKpq2X+xLuR/9TKWzp2ORw/u8n6ETo2bYvLsRdDWkcz8ffLoPhbOnILbAdf4+X2NWnXhPncxzMwlPwuYqWf+Mp454XsL5Sum90T/GXJycvy9V1Q/kxebDDs23YgpUUDfgpy88wbXngUV64Ddl4hYtJ57AGUMNbBleHNExSdhxh4/dPU4hmNTXXIMsCzuVR8xCckSy269+oKpu66iiX3mTKQxrauhkZ3kh14lecn/IDacvY+KJtpobFcKe68+++nnI3wvCd9bRRXrT8f6wdlUrICDh4/y/nVsAquwxJRlybFBCeXKWsPaqgzOnr+IYydOZXlf7DXu36cnL6FlGXrNcwh4/Iol82ejfpNWaNa2A3p168xLM8PCwvnUUfbYbJLpz2DPhwXPNm/biYoVykFFWVnUT+9PYFl1I4YMhMeKVYKMqyaCb4zYlFhW/phTgCgvWPCJ9TzT1dGGvr4efA4ewc3bdzOtV/b/z/vgkWO8L5qWpibMTE0yrccmuK5csx6uXXpi9rTJMDDQxx5vH5y/eBlrV3jkOHAiq4Brt85u/BL06TN27/PBrr3ePNvw4N4dovWq2OfP/6Fswurtu/dEE2qFgTimTq2aoiEO0yaPRy2nJujcsx8G9O2F9+8/YMLUGXBzaStRnssGsbDJvC8f3uZZo6xUOGO5cOD7D/yndZnSqFc7/cOXa9de8PMPwLJF8xAbG4eAm7dF17FptMJtYb3tWCmzTflyUFZRxqvXb7Bi1ToeMGfvG0II+RNYYIsFiFhftldXj/L+dY1GLRdN+azReQyf3uozsT3PUmJu71/JJ3my634V609nWL4GznuO4Vl+GqZWCLx1Ho9P70S1jqP4wAkhNv2VTYFlfeFq/r/fGAum6JWxw4f7vnxaq/h5JgtAvrxyGPvGtIB9u4F8Uisb0sDKJz8/vYXW03/vC0U2nZVl9pWq1pAHN1mm4K19y6GkZQCN/09VrdtvJp/WundUU9i3GwQlTX1Efn7LS3VZ6Sx7fpXbDeZTYlnGoFnVhgh//wLXts/n+4Xtn5ywPoLsfi6unoi48GA+6IMFVGPDvvBsRFO7erCq1zbPz0nbogLqWlRA7b4z8P7uJT544fL6qXwQhY6F4HjIngO7/C6LGk2gX7Yqn85bp890XgLL9gPLZqvsMlS0XvS3j9jUswqfxMum4Ipj70lWQpvdsImgR/44Ma8ftEqVQ7mGbvj8LP3YW1JahgdVBetdxy3vFbCs1YIHeFk5M8vcY8HDOv1m5jnbr6hjn4d+5rzvbzh74ggC/HyLdcDu25fP6NiyISytymLtNm9ER0Vi/rSJ6NupLbxPXsrx8/dNfz90b9cU9Ro2wbpt3ogID4PH3Ono0toZxy7fELX2effmFTo0qw/rchWxfMN2pKakwHPRHHRo7oSTvrehpS1Zru/WrRcfuifO3CLrntd5xd57RfUzebEJ2P1LklJSefZZUbPqxB18T0vDrtEtoaIg+APXU1fi2XOn775D08rZN7K1Msz87eeOS48hU1IKbR3SmwILmemqooplzicM7zYMQokS//GsvF8J2BUXB/bswJCRY/nUT00NdSyaO1Oiif7UiWP5NxosWMF6sbFgx8nD+1G6YtYZP+1at+QBu17du/A+ZvnJ3rYSAi6fw+wFizBi7CTeF4314GPLWaDwZ/Xp0ZVPT50yYw5Cw8L4kIqLpwRBnT9l8bxZPMNqvdcWnqmopKgI20oV0b5Ny9++7xWLF2D42AkYO3mqaKLrzs3r4VBP8tvwsSOH4l3gewwcNpr3oeveuSM2r1+VZZCNZYRNnDoTk6bNQkxsLA9Gbdu4Bl06/tq3+cIefuNHD+eXr98yl1nlh8u+fnwwhjjhyQPLjKunLQiosaDcycPemDxtNlq5dIKqigoPKs6dLhn8ZeWvrIfir5wsnD57nv8cOU6yqTWzae1K9Ojaif+7etUq8Dl0GMtWrkFycgqMDQ1Qr44jJowZmW+l5YQQklGr6TtwYeVYXtLJgkgsSMEmjwqxZv4dFh+B35Y5PFuJ0bO2R4fFR3Nt9J8TFhBsM3sPv99b+z351FRWhsnKWO3bSn5JwYKJskpqPGjHhkkIscw0FsQTL4dlZBVV0HHZKQTsWoybe1fwIJasoio0jC1Rpk7WPd9+BtseNnDDb/McJESFQk5ZjU8abTZxPc+4Y1jfMzeP4/DfPh8XV03gQVEWELJp0Ut0P7V6TYG8miYPAN4/tpnv/3INO8Kxl7soYJoTm+Y9oaRtyDMVn1/yQdr37zy7zbBiTb6Nv4JNz2XBQnZhmZR52Y5feu1n7Ybvhmk4v3IcL2k2KFsVrgsPQVms7x875v5IY8fetEz38fTcXl42nF3G34f7V/n9som+e0c3k7iOvc/6br8n6iH4I+0H/Lcv4KXIJaSkefCy+aSNPxXwJIUbq5wQBqCKkvUrPfj5qdfuQ1D5f891XT0DuLVwwvlTx3m2XXZWLJoNk1IWWL/TR/SZzdLKGq2cHOC9YzO69RVkXq9bsRjS0jLYuv84lFVU+DK7KtVRt7I1Nq5cikmzFkjcr56BEeyrSg6sI9n770dRDUVm4OPjA1dXV7zdMFAULMrN4/chmO9zHddffEJyyndUKqWDaR0dUb1MeqPxoevP8sy5zcObY/KOK/w2RlrKmNjeAa2rlxatkzEgVNPaEEfdXbDH9ymGbTiHE9NcsfbUXVx5/BFWhho4PcMNXyPiMGufH87fD0RcUgos9dUxpFlldHBMT70W3v6YuwtWHLsN/+dBUJCV5pNMJ7s6QKpECXyLjIPtiM2Y0ckRAzJk+E3ffRU7Lz/B41V9IS/zZ4OEVUZv5ftu9UDJAyfbtroVjLGiX957HsQnpaDcEC/Ur2iCLSOai5YLS2J/prz1V27DRMcnwbz/Ouzfvx8uLv9mzzSGNbZn2VHDBw+QWD5z3kLMnr84X3qBiVu93gujJ0zBq0d3aKolIX8Yy36dOotl7sXSviaEZFKzliOiFU3gPHYl7R1C8smZJcOgEvcB/tf8is0+XbJkCebMnYsH7wQ9Ln/V00cPsHTeDNzwv4rk5CRUrGSPiTPmoUqN9KD7mMG9eebc2m17MWPCKDx9/ACGxqYYPWk6mrdxEa3Dkg7EVa9VB/uOX8D+3dswbkhf+Jy6DK81K3Dt8gVYWpfFobN+CP76BQtmTMKlc6cRFxcLc8syGDBsDNq6dRHdj/D23icuYe3yRQi4dgUKCoro0LUXxrrP4sGt4G9fUauiOQ9W9R4o2Rtx3tQJ2LtjM24++wA5+T+boVnHzgpVatTE0rWSLaNqVbRArXpOWLRyY7a3LWekBtfOPTBz0QqJ5XYWeihvY4udh07z3xs72MLY1Ayb9kq2gmlZvzpioqNx+c4ziZJYNtl11MRpyE+VSmnDfcoUjB07FkVN0Uvjyiesr1nLOfthY6aD5X0bQk66JDaff4h28w/yYFpF0/QJSKy0c9DaMxjU1A6m7apjt+9T9F99CuWMtVDaQB1j2lRDaHQCHgYGY/uoFvw2yvKSkxAHrD4Nl5pW6N3ABt9//EBcYgpazfXhQSF3t1ow0FDC/mvPMXjdGSQkp6CHk+SkRPb47PYDmtjC72kQPI/fRskSJTDJ1QG6aopoVtkCOy4/kQjYJad+54FEN8eyOQbrWFZcXsK6UiX+yzatNiE5Fe9DojJtN2NtpIEXnySnceXmxO03iE1Mhlvt9H4k4lip7Uiv8zx4WausEdw71IS10Z/tUUJy9vT5C7x58xbzFi3lvclYqSUhhBBCCCGEPH5wF67N6vMg3ULP9bxn2o5N69C5jTMOnfOT6HHGSjtHDuiJvoNHwNi0FPbv2obhfbvCunxFWJS2wvBxUxAeGorHD+9h/Y79/DbKyoLsL6ER/bqjtWsndOszkGehxcfFwa1FA37f46fN4Zlgh713YdTAnkhIiOftUcSNGtCD377XwGG4fvUyzzRj/Y7HTJkJHV09NG7eGnu3bZYI2CUnJ8Nnz3a069g1x2BdXqs2WHAwu8/fiQkJ+Pj+He+fnFFp63J49SLnCjOpElKQ/n+/ZXEysrJ48eyJ6PcSUiWyXk9GFu/fveHD2sR7G27bsBprly2EVMmSPBOPBVrFA7JEEgXssjFjz1WYaKvi0KR2kC4pSAF1sjGF48SdWHr4pkRWV3R8MnaNbgUHa8EELfbz0qMPOH7rFUa1roZSumrQUpGHrLRUtmWa7RzK8MCckNfZB3j7NRLHp7qghpXgfhtWMkNIVDwWHghAt3oVeDmnEAvICW9fv6IpD2atO30Pg5vZ80ELPRtWRNt5B3Hj5WdRhuCxm68RFpOAHg1yTolnt8tu4IO4w5Pbw7Fc1kGYyLhEHvRTExv6IMQGTrz79nNNIr39nkFbRZ7vE3GsRLaHUwW+D9hQiFdfIrD86C00nemNc7M68ixFUjCGjhrHe3PVcqiOpQvn/rMvA+vn96sHzt+V28Gb9W8obP1DCCGEkKJEWIaZvf942Sgh5OfMmzYRxialsOvIWUhLC3qP12nQGI1r2mLVkvlYu22faN2Y6Chs2nMY1WoKWphUq1kbvhfP4vTRQxgyZiJMS1lAQ0uLB42yK79s2d6NB+bEA0msH9v+k5dQ1UFwv/UbNUFoSDCWzp+Jjt37SJxnN2reSnT7Ok6NEBcbg01rV6Dv0FFQVVVDl94D0LlVIz6IQRiQOnX0IMLDQtElQ/Avo86tG+PGNd9c99meY+fh4Fg3y+uiIiP4/1eqamqZrlNTV8eHwLc53rd56TK4d+uGxLKgD+95FqLw9WFYgPT+7Zv8M5JwQFtsTAxePn/KHz86MgJyeoIYSNsOneHk3JyX5X76+J6X7HZq1Qi7Dp8VvZZEEgXssskGYwGqsW2r8w/eqd/T+yKw0s0jN15JrM+y5YTBOob1n7PQU0NQWAzyqmllC4nfrz//BGMtZVGwTsi1ljUvgX39JYIPbxBqWU1yAkvr6mWw6dxDPP0YyretdjljlDHQwPaLj0UBu+2X2L/1s+wPJ86jdwMeAMzN3wqGseEVrHS4v7MtSkpJBif01BX59gqx597AxhS1JuzkgbtVA3KfXEUEpk+ewC/55U/3fvtb5NRznmzG+5+JDRTIT41atIWvn3+210+dNC5fXzNCCCGEZO6NdsZDsgdqdv3PCCF5w7LBWIBq+Hh3wedvsS/IHes64cRhH4n1WbaceICH9Z8rZVkan4IEA77yImP/tpvX/XhprTBYJ9SmQ2deAvv21Qs+vEGoWav2Eus1b+OK7V5r8eLJY75tNWvX4+vv3uYlCtjtYf+uXpNnuOVk3rI1PACYG3PLzL3c80uvAcMwckAPHqzs3ncQIiPCMWnEQB60FO9d2bP/ELge9oH7mCEYNXE6klOSMdd9POLjBO1YxNddtn6b2CM4olGzVnCuaQuPedN5uTLJjAJ2WYiMTcT3tB88k41dMso4aTarrDGW6ZWUktO3b5J0VBUkfo+IS+SlrNmtx64Xp6UieXvt///+NTJOtKxng4qYve8a5nWri+CoeN57b02GfnJZMddTzXNJbHZUFWTZYCdExiVlmX2nrpT3EeCsNDjtxw90zKYcNiNDTRb41Me9t3+meT0pXgKunMvxeqvSksHz/MQmr7LBDtlhk3cJIYQQ8ueY13BG55XZnwtISRe9xvWE/GksGMQqSZbNn8kvGWWsIFFRy5wowrLpkpIkPyPnhJWtZtwGHb3M59LaOnqi68Vpaqe3yGK0dATTUL99/Sxa1qVXPyycOQXTFyxDaPA3BPhdydRPLitm5pZ5LonNjoqqGg9+RkVGZrouMiICquo5J9uwQOWbVy+w3nMJn/rK7qtF2w6o36ipREksC3DOXuyJRbPcsXf7Zr7MsV4DtO/UDYe9d0NNPT3JKCMlZWXUb9wUB/ZK9hsk6ShglwU2lIIF5fo5V4JLzfQBD39SxhI6dV4mmvmPiwXahNeLC42O5/3yhEKiBevpiQX9WIBrjvc1eF97xgctsEBjq2qCwRh/uiSW9ZIz0VLBi09hma5j/evqlM/7hMN9V5+hgokWKoj1EcyLP1WmSIqXKvaSg1v+Jqsyuf+9EkIIIeTPkVfR4BdCSP5hwSUWlOs5YCjauHb6O7s2YxKOugYC377JtFpI8FfR9eLCQkJ4OahQaHAw/8nKPYXad+zOA1mH9u3k5aSqaupo9v/BGH+6JFZeQQFGJmZ4+Tw9uCbE+tfVqls/1/tn/fgGjRzPy2c1tXWgraMLp2oVULVGTYn12MTYDt164/3b11BSVoGBkTG6uzSHbeVqEuWz2aHP6dmjgF0WFOWkUcPKAE8/hMK2i06+vIF+NuOuZllDHLn5CjdffkY1sam0B/xf8Cy7jOWnrB+deFnukRsvoSgrzQdfiAci2zlYYeuFR7wXHhvYIJeHybD5VRLbxN4c3teeIyY+Ccr/n9Qb8OITPobGwNneHHnBsuRYgG92l9rIq6DQaAS8+IJWGcqGCSGEEEIIIYQULAVFRZ6p9fzJI1ScuyR/Pn//ZMZd9Zq1eentnRv+qFw9PSB11GcvtHR0YS4WnGNOHj0gUZZ74vB+/jysyqf3h1dRVUVrl47YtWUjz7BjWWfiAxj+dElsw6YtcGjfLj6tVVlFMHTj1nU/3j+uYVPJkuDssOfEhnkwF8+c5KXBi1duyLQeK0suU7a8aNqv/5WL8Mglm5BtF7vPSvZV87QtxREF7LIxu0sdtJrjgw6LDqNz3fI8SBYek4D774LB/vsQHxCRF6zfHOsZt/PyYx5EU5aXlciIy6hj7XJYf+Y+eq44gcmuDtBXV4KP/wtcfvwBHr2dJAZOMCfvvOGBRhbou/Y0iE+0Hd2qGh84Ia53QxvsvCyIsveon3lia1Zy2s6fMbR5ZV7O2mXpMYxsVZVP1525xw9VS+ujqVjAjmXQDd94DgcnteMTXjMOm2B967LLfJy6y5eXy1YrbQANZTm8+hwBz2O3ebkue0xxrCSYDd1gE3yZ++++8X3IsgEzDrMgJCdHjp1E4IcPGDFkYLHeUU+ePceYie7wD7gJOVlZtGreFIvnzYK6euZmtxld8r2K6bMX4O79B5CXl0Mz50ZYNHcmdP9fXiB0/+EjTJ4+G9eu3+D/D9Z1rIUl82fD0kIy6B/4/gOmzZ6HK1evITwiEqbGRujepRNGDx8saohLCCGkeHvtfxLRXz/Avl3xPn6HBj7HlfXu+PTkJkrKyMLCoSnq9p8FOeWcj9/e41oh6GHWvXVNKzuh/TxviWWfn93G9R2L8PX5bXxPTYWagRlqdB6DMnVaS6wX9uEl/LcvwMcHfkhJjIeKjiFsW/WDXeu++fBsSWE1de5idGjuxDOzOnTpCW1dPUSEheLhvTs8gCc+ICIvLK2sec+4fTs284ATy/wSz4jLyKVzD2xZvwoDunfAOPdZ0NU3xJH9u3H10nkeQMtYlnvuxFEoKiqheq06vNSVTbQdOmYSHzghrmufgaJS0c498vYezmk7f8aAYWN4WWrfzm0xeNQEPgF3wfRJfBBHI7GAHStJHT+0Hx/4UaNWHb6MTdi9cu4Myley4+W5LNC3cdVSDBg+ViKg+eVTEHZuXo/K1Rz4tFj2eq1dvhDOLdvyYKXQhpVL8fb1CzjUrg8dPX0EfQjExpXLEBryDSs37cyX51sU0aeWbFQqpcOnii46dAOTtl/mk2DZpFe2vKdT3gJd4rrWK4+HgcGY4+3Pg0QOVoY46p59OiwLHB2d4oKZe/0wa+81xCam8MDZmoHO6OCYOVi1brAzlh+9jfVn7kFeRhrDmlfG+PbVM61nY6YDU20V6GsoSQyt+BvYYx6e0h7uO33RY/lxPjWXBepmdq4t8S0KC7ixHoIZy/ZTUr/j4PWXfFqvdoaef0LWRprYcv4h9vo+Q1xSCjSU5FC7vDHGt6sOcz3J/zxZf0LxUl82pINd2LCPe8t75/fTJ0XYkeMnccXvWrEO2H3+8gUNmrZGWesy8N65BVFRUZjgPgNt3Lri8pljOX5TevXadTRt7YomjRrw24aHR/BgW+MW7XDz6gX+jR3z6vUb1HNugYrly2OH11qkpKZizoIlqN+kJe74X4bO/3uJxMXFwblVe35yMW/mVBgY6PNhHe4z5yA0LIwHAgkhhBAWsAt6eK1YB+xiw75g//jW0DApg5ZTtyApLgq+G2fgyPSu6OCR8/G7wdDFSIqXzAL68uwWrqyfCguHJhLL3944i6OzeqBsfRc0m7QBJaSkEfb+OVKTJftbf315Dz4T2sLYxhGNRy2HjIIyIj+/RWqi4At2UnRVqGSPoxeuY/nCOZgxYSSfBKuppYMKtvbo0qv/T99fx2598OTBPV6SyiazskmyOQ02YJlk7Pr50ydiwYzJPMONZdUtW7cVbd26ZFp/+YZtWLNsETav84S8vAIPZI2cOC3z87Kxg7FpKegbGEoMrfgb9AwMsefoOcyeMhYDurlAVlaOD9uYMnuR5OfvtDTeQ1C8b56MtAwunTuFdZ5LkJychNJWZTF32RoeTBVXUloa9+/cxK4tG/igCVNzS4wYPxW9BkoO5zG3LIMzxw/jzPEj/LVVVlHlwziWrPGCjV2Vv7A3/k0UsMsBC2h5DW2a4w7MbupoxmCckpwMD7Zl1KlOOX7JCpt4unZQ5ttkxUBDGXvHSX47lZVnH0PxPiQaE10cUBBYdiHLnMtJdvtEuqQUXqzN+T/rLnXL80te5BQwJeRPSUpKEgWgipIlK1bhe9p3HN63C6qqgpR7fT09ODVtheMnT6Nl8+z/L529YDEsSpnhwJ7toua51lalUaNuI2zevguD+gkC6IuXefKThxMH90FFRZkvq161CqwqVYXHitVYOGcGX3Yt4CbevH2Hs8cPwqmu4FvC+nVq4+27QOzet58CdoQQQn4aCyyx7LOi5vb+VUj7/h1tZu6CrKLg+K2kqQfvsa3wNuA0z7bLjqZp5iygR6d2QEpaBlZ124qWJcfH4IzHcFRq0Rv1B80VLTe1l+y99SMtDacXD4GxbR20nr5dtNzENu+tcMi/jQW0Vm3eleM6HmsE2WoZZQzGKSopYem6rZnWc+3cg1+ywjK/JCeZZk/P0AhbvI/mut6Lp4/x8f07jJksOE/921h24a7DZ3JcJ6t9wspbfU5fyfX+WV+73O5fWJ7LLuTnSOZ1kiLrc1gM/J4GYeyWizyDrHV1al5PircHjx6jTYcu0DQyh5K2Eeo0as7LLMX1HjAUFuXtcPvuPTg2aAplHWNUqOwAn0NHJNbZvnsv3n/4iJLKWvzCglTMtp17+O/sfl279ISGYSk4NRUE1r98/Yqe/QdD17QMFLUMYe9QF7v2SpaOCG/PMtBatu8IFV0T6Jey5iWh7Fsw5uu3b5DX0IfnmvWZnuP4KdOhZWyBhIQ//6308ZNn0KKJsyhYx9RxrAkTYyMcPXE6x9veuHUHDZ3qSUy6YsM9NDU0cPjYCYn1HKpXFQXrGCNDA1QoZ40jx9PXS04W9NxUUU5fj1FVUcH372m/+UwJIYQUpJA3j3F4ehesbmeOFS2NsHd0c3x6Inn8Pr1kKLy62/FsrT0jm8KzlTG29nXAS98jEus8PbcX0d8+YqmzFr+wEk/mydk9/Hd2v0dn9cSqtqV4FhoTG/YVpxYNxhrXMljRwhDbB9bF0wuSx2/h7YMeXcehqR3h2coEaztY4+rm2Tw4xsSFf8Py5vq4eyjz8fvKxulY3d4CKUl//vj9JuAMLGo4i4J1jFHFmlDWMcLr6zkfvzNi5auvrh6BeXVnyKukt9R5efUoEqJCUaX94Bxv//GhH8I/vETldoN+4ZkQUriwUtHrflcwZfQQGBqb5mnYBCEZUYZdMbHj8hN4HL7JB0OsH9yED8EgpLhifdLqObeEva0NNqxazpu/rtu4GY1btsO1i6dha5Ne9h4ZFYUefQdh5NBBMDMzxbadu3lafsXy5fjU1ikTxiAkNBT3HjyEz27Bt8HiASWmW58B6NTBBQP79eaBNlay6dSkFSKjojF3hjsMDQ145lePfoMRH5+Afr0lv+Hq0W8Qv/2wwQNw2dePZ5qxPmyzpk6Cnq4uWrdohk1bd2D44AESQavtu/aiWyc3yMvLZ7svMqa/Z4cF07Iri2EBwXeB79E/w3Yz5cpa4+nzF7ncd4ksJ0jJysrgydNnEtsgIyOTZVPhN28DkZiYyF/LhvXrorSFOS/JXbN8CQz09XDFzx879uzD+FEjcn2uhBBCCqdvrx5g35iW0C1tg0ajlqOkjBweHN8Mnwnt0GnFaehYpB+/k2KjcGrhIFRuPwiquqZ4fHY3TszvD61S5aBhXJr3TmNBpODXD9FymuD4Lasgefw+uWAAL+G0bdkbaWnfkZIYx4N6SbHRcOzlDmVtAzy7sB+nFw1GalICbJpJHgdPLRrEb2/XZgDvx3bL2xMlpEqiVo9JUNTQhaVDM56RZt82/fj9PSWZBxLLNXSDtGz2x29B4C/34/d/JbI/frOAYNTX97Bpnvn4rWlqjfAPOR+/M3rtfwLJ8bEo18hNYvmnxzcgp6yOkMCnOOjuhvCPr/jzr9i0K6p3GoMS///Cjq3HfE9Owu7hjflrI6ukBqt6bVG7z7Qc9wchhc3eHZuxcvFcXlbruXF7luewhOSGAnb/uJxKasVNaF+DXwgh4IGcUqYmOHf8kChQ5NzQCZWqOWLeoqW8j5pQVFQ0L/OsXUtQRl6nlgPOnr+Eg0eOY9K4UbAwLwVtLS1e5lqjWtb9F9xc2vHAnNDq9V549eYtLp85Dseagr/Lpo0b4ltwCGbMXYg+PbtJNLZlATnh7Rs3qI/Y2FisWL0Oo4cNhpqaKgb07YlGzdvyTL5aDoLelQePHOP92jIG/zJq1KIt7++Wm/MnD6Ne7fRJWOIiIiN50E9dLXNzag11Nbx9+y7H+y5T2pJnz4ljGYtfvn6TCOSx9W7evoPU1FTR4IiYmBg8ff6cPz7bDlaGy4J2l88eR7uO3VG+cnr5/6Rxo/lrRggh5N/k6zUDqnomcFl4CFIlBccHsypO2NbfETd2L+U92ISS4qLReuYuGFUUHAcMKzrg/Z1LeOV3HNU7jYKaQSnIq2pBSloWBmWzPn5b12sHx97px+97R7wQ+ekt3DyOw7CC4PhdqmpDxEeEwH/7QlRs0g3/iR2/LWs2E93erHJ9Hsy6e3AdKrcfDDklVdi06Mn7tbFMPsPyguP3K79jSIgKyxT8y8hnYttsBz6Ic110GMaVsj5+J8VGgjWNllPKfPxmAyeivuR8/M7o6XlvKKhp830ijmUlsuDgqQUDUKPLWGhbVMSHe74I2OXBy2Brdp/I14sL+8p/Hp/XF7at+vAgHcuSZIMqkuOi0WTc6p/aHkL+hJxKasWNmjiNXwj5HRSwI4QUKywbjA8gmDiWf+PMgj9CDerXxf6D6eUywmw5YbCOYYG50pYW+BgUlOfHZNNSxbESV1MTY1GwTqiLmyv6DBqGFy9f8+ENQu1aS45dd2nbGms2bMKjJ0/5trH+bGWtysBry3ZRwG7jlu2oWaM6ylnnPGVq7QoPxMTG5vocrEpb4k8ZPqg/uvcdhBlzF2Bw/z4ID4/EgGGjeNBSPHA5dGA/1HM+giEjx2L6lAlITk7BuMnTEBsbx68Xrssy7Tr16Ivo6Gg+tUpfX4/v8/mLl0FJURETxlCWHSGE/GtYwIcFqFjAhx2/076nH79N7OpKlLsybFiBMFjHsP5z6kYWiAnO+/E7Y/+2T4+uQ0XXWBSsEyrbwBVnPIYhPOg1NE3Sj9+lHSWP31Z1W+PBsU0IffeUbxvrzcaGPTw6uV0UsHt4cjsMylfPsj+cuIbDPZCckPvxW8Pozx2/Mw6v+HDvCuza9OdZhBJ+pOF7ciIce07mwUqGPffEmAjc2r8K1TqO5NmSP36kifYny0JkWLDxR9oP+G2ZDYdu46GqZ/pXng8hhBQGFLAjhBQr4RGRvAx05tyF/JJRxpHtWWWNsVLNxETJqWY50dPVybANEbyUNSPd/6/Hrheno60luZ6OtqgPnlD/Pj15b7tli+bhW3Awrly9hq0b1uS6bZYW5nkuic2Omqoq//DEMtyy2t/q6ul9bLLS2c0Vz1++xpLlq/jUV3ZfHdq34VmHT549F63HApwrly7ClBmzsWnbTlGQtXvnjti1bz80/v84bFAFC9C9fnyXB0aZuo61+AQsFhTs06MrtLQ0c33OhBBCCo/EmEj8SPuO6zsW8ktG4pltwgyxjNgwhNSUvB+/FTUkj98swMRKOczxvOQAAQAASURBVDNSUNcRXS+xXE3y+M2yz8QzyRib5j3ht3k26g2ah/iIYD61tsm43I/fagbmeS6JzY6soirw339IZJl2WexvVsaaV6w0mGXLlW/YMdN1cv/vZ2diX09iuWnl+nh4YisiP7+DlllZyKloZDmMwqxyPfhtnoWwwOcUsCOEFCsUsCvChq4/iw8h0f/UNNSY+CSsO3MfFx++x+svEUhL+wErQw0Ma1EFTSuzExNJ39PSsPHsA+y8/ATvvkVCUVYaFc20+XRdHVVFvs4e36cYtuFcpttWMNHC5XmZR3STok1NVYUH5YYO6ofOHf7O30bG3jEssMSmmGb07Vuw6HpxwSGhvF+eaL3gEP6TlX8KsaDVlBlzsHOvNwLff4C6uhpc2gqaZ//pklgFBQWYmZrg6bPMvW6ePX8hmtSaE9aPb8Lo4Xgb+J4HKHV1dFDevoYoY1CITYzt3b0LXr99x4dKGBsZolnbDqhWxV5UPvv4yVNoaWqKgnVCle1skZKSwm9LATtCCPm3yCmp8KCcXet+sHb6W+e2ksdvFsCKzKJMlAXahNdLLI8M5f3y0n8XHL8VNdOP3+UbdYTf5jl4dsEb0V8/8J5tZerkfvzOj5JYaTkFqOqaIOx95uM361/HprXm1dNz+6BtXgHaFhWy7IeXk9TkxP+vl3NW4c8EWwkpCGMG90bQh/eZJtYWZjHR0di8zhNXzp/B29cv+Rfcpa3KYuCIcWjUTDJL2Ew9c89pofHT5mLwqPGi38+ePIq1yxfh9YvnvJUNm1Y7fLw7HBwlA/IkZxSwI4VKUFgMtpx/yPvyjWlTDSX++w8Hr79At2XH4NHbCT2c0psJM4PWnsHlRx8wslVVVCqlg+j4ZPg/D0JyimACl7htI5pDV10QxGMUZLP/D4cUXYqKijxT69Hjp6g83zbbRsw/42cz7tj0VDZp1j/gJmrWqCZavmf/AR6osiojWb7C+tGJl+Wy27LnwQZfCLHprJ1c22HDpq08oNetsxvv5Zab/CqJbdmsCXbu8UZ0dIxo6IaffwDvRdeymTPyQvw5nTh9Fi9evcbGNZ6Z1mNlyeXLWoum/V687IutG1ZLZCqy/n3sscWDdmzaL8OGUBBCCPm3SMsp8lLUkHdPUbd0/hy/ecZdct6P30Y2NfHy6hF8fnITBuXTj9/PLx3gWXYZy09ZPzrxstwXV47w58EGXwix6azW9dvh4fGtiIsMQflGbrw8NDf5VRJrXqMJDxYmxcVAVlFw/P70OIBPz2XTY/OC9ZkL+/ACdQfMzvJ61svPf9t8vL99Edpizz3w9gWUlFWApokgUMd637GegoG3L8GiRhOx9S7yTEDd0rZ52h5CSN59DvqAHZvW8b58w8ZN4YkNRw/sRb8u7TBv2Rp07tlPtO7Bs1cz3X6H11oc8t6NRk1biJZdOncaA7q6oHkbV4ycMA0pycnYsn4lerRvxu+jQiV7eonyiAJ2pFAx0VbF7aU9JYJpTjam+BQWA89jtyUCdiyQd+TGK5yZ6QbbUunlCVll4jEVzXRgop0+sp4UX0vmz0b9Jq14Zlavbp15gCcsLBy3797nHwDEB0TkhbVVGd4zbvO2nahYoRzP/BLPiMuoR5eOWLlmPVy79MTsaZNhYKCPPd4+OH/xMg+gZSzLPXL8JA9msUAfK3Vdu3EzH6DABk6IY1NohaWi/Xrm3gyXyWk7f8aYEUOxa+9+tHHrggljRiIqKgoTp85EjWpV0VKsh9+O3fvQd/BwnD1+kJepMmzC7umzF2Bna8PLc1mgb6nnaowdOUwioBn06TPWeW2BQ/WqfNLWnbv3sXDpcrRt1RwdXdtLZBsuW7kGLdq58SETenq6/D4XLfXk/QRNjI3y5TkTQgj5u+r2nw3vsa1wcEoHVGjcGQoaOkiICse3V/fxH/6TGBCRF5rGgv5xj07v5IEk1vdOPCMuo/KNO+Lu4fU4OrsnavWcDCVNfTy/5IP3dy+j4QiPTGW5r/1P8gAdC/QFPbjGJ9pW7zSaD5wQx6bQPj4tOH5XzGXYhFBO2/kzqrgOxbOL+3FkRhdUcxvJp+v6bpoJ/bJVJXr4sQy6M0uHw2XhQRjbCI7fouvOe/O+dWWzyXxk5a7lG3WC/46FvE+djmUl3u+OPWeHbhN4ph8jr6KBah1H8GEUbGKvsW1t/tpe37UEFZw784EjhJD8ZWxaClfvvYS8guDvkKnboDG+fArC2uWLJQJ29lUzD7EcNaAnbOwqo7R1ejD+0L5dMDAygafXDtHnmpp16sPWQhcnDh+ggN1PoIDdT2AlmrP2XsPNV58Rk5AMLRV5VLbQw4YhTVFSqgQv55yz3x++Tz7yAJOSnAzszHUxo5MjShsIejKIl2iemeGGVSfu4OKj91CQKYmBTewwolVVnH8QiLne/njzNQJWhpo8s8zGLL2HRqs5Pvxnv8aVMM/nOt4HR8NSXw2zOtdGvYo5N2INjY7HfJ/rOH33HcJjEmCmq4ohzezRtV56+vq3yDj+PC8//oCI2ESoKcry7DXPfo2grZr+h/wnKMplnfVWqZQubrz8IrFs8/mHqGltKBGsIyQv7G0rIeDyOcxesAgjxk5CVHQ0L8Nky1kvuJ/FeqKxoBMrSWWZXSwb7uKpo9muz4JvF08f5QGtSdNm8Qw36zKlsW3jGnTp2CHT+tu91mGhx3J4rlkPBXl5HsiaPjk95VzIrpINSpmZwtBAX2Joxd/AHpOVzY6Z6A6Xzj0gJyeLVs2aYtHcmRJZECzNnvUQFO+bx4Jvp86ex5IVK5GUlIxy1mV44LJnt84SjyEtXZJPiWVZhLFxcbA0L4WpE8dh+OABEuuxfeB34TRmzFnA93FEZBRMjY34sImxI4b+hb1BCCHkT9AtXQmdV55DwM5FuLhmEpLjo/mkV7ac9YL7WRWadsW31w95SWpCdBjPhuuwOPvjNwu+seuvbpqJq5tmISUhFupGpdFk/BqUa5D5+N1swjrc3Lccdw+th7ScPKq6DoND18zHbx1LG96bTUlLX2Joxd+grKXPy2avrHPH0Vk9eIabpUNT1OkvefxmgTbWQ5BNlRX3PTUFLy4f5NN6hT36ssICmuz5sUm7rDSYBd/qDZwHu9Z9Jdar0WUcZOSVcP/YFtw+sJr3DKzaYRhqdB7zB549KexYieaCGZNx54Y/YmKioaWlA9sq1eDptZOXWbJyzsWz3XHN9xLPFFNSVkEluyqYOHM+LMukl2Lv370N44b0xaFzftiwcil8L56FvLwCeg8awcs4WUYYu593b16hjHU5zF22BhVs7ES3d2vRgP/s2X8Ilsydjo+Bb2FuWQZT5ixG7fqSU5EzCgsNgcfc6Th/+jgiwkJhUsoC/YeOglu33qJ1gr99xYIZk+B3+QIiw8Ogqq6BipXssWjVRmhpS/bSzG8KiukVaOLY498OuJbjbW9d98P7d28wc+FyieUpKclQVFSSSEKQk5fn5/xp3zNXwpHsUcDuJ3RacgRqinJY3LM+NJTl8SUiFufvByLt/weu2MQUpH5Pw4R2NXhgiwW7WFCpyQxv+C/qBl01yT+GQevOoGPtsujZoCIO33iF2d7+iIxPwoUHgRjVuhrkZUpi5l4/9Fh+HLc8evKgoHjwcMYeP0xoXwPK8rJYc+ouOnscw+W5nVHGMD04KI4FFJvP2o/k1O+Y2L4GzzY7dz8QozZdQHJqGno3tOHrDV53Bh9DY3ig0VBTGSFR8bjy+AMSktOncWWFPfe8EH8eeXXtWRDKGKT3BUlJ/Y67b76hh1MFvh92X3nCg6gssOnuVhO1y0n2rmKazNiH0OgEHmhtVsUC7h1q8teTFE8soLV7q1eO62xevyrL5RmDcUpKSlkOeOjRtRO/ZIX1n9u2cW2ettXI0ADHDuzNdb3HT5/hXeB7zHSfiILAylnPHjuY4zpZ7RNW3up77kSu98/KhXO7f6EK5crCZ/e2PK1LCCHk38ECWs0n53z8bjI26+N3xmAcCww1HZ/5+F2+cSd+yYqSph6ajs/b8VtJywBtZ+d+/A4NfIaor+9Rs0fBHL9ZdiHLnMtJdvtEqqQ0Bnln7oGXaT1pGZ6VyC45YUFCNklWOE2WFG+93VpDVU0NczxWQV1TC98+f8Klc6f4F8BMXGwMUlNTMWriNGjp6PJgFyvvbNe4Ns7feAQdXck2KKMH9kL7jt3QpVd/nDi8H4tmTUFUZASunD+NIWMm8SDe/BmTMKCrK67cFfReEw8ezps2kT+WsooqNq5ehj4dW+Ok721YWpXNcvtZQNG1aT0kJSVh9KTpMDIx49s/ccRAJCcno1ufgf/frp749PEDJs9cAH1DY4SGfOPBu4SE+Bz3D3vueSH+PPIq4NoVWIgFPbNyYO8OHoRr5SI5bKZTj77o1aElz9Dr2L037yG9ZtlCngnt2vXnv1wpzihgl0dhMQl49y0KO0bVkSi5dKmZ/ibW11CCR29B9F04EIGVc5YdvJGXbw5qKlmr3al2WR6YY2qVNcKpO2+w/vR93FzSHUZagtJNFgtk/dvuvPmK6mUMRLcNjorHhdmdeOYbU7eCMexHbYHHkZtYPzi954O49Wfu88y/qwu6opSuYHJW3QomiElIwuKDATz4JVWiBG6/+oopHWrCtVb6c2tdPfe0e70eK/OwJ4HQnSPwM7ZeeIR7b79h49D0tPzw2EQeeNzj+wxmOipY3rchpEuWwMrjd+C26AiuzOuC0v8P8LFA6di21Xg2pJxMSdx8+QWex2/j9qsvvJxWVpr+DMi/jZWKvn77FtNmzec921zati7oTSKEEEJILmJCPiPy81tc2zYfKrrGKFObjt+ECIWHhSLw7Wts3HVQYvhBa9f0wLGegSHvsybEqjjqNnBG5TIGvA9b38EjJXaoS6fuGDJGEBiv4VgXZ08cxZZ1nrh0+xkMjQUl16wKhPVvu3/7BqrUSC//Dvn2Fccv3xCVczrWawDHSpZYuWQeVmzckeULx/q2fQr6gLP+92FaykJ0u5joKKxYOJuXm0pJSeHurQCMmzobbTqkV5c0b5P7cB1Lbfk8vWECI1LwM3Zt2YAHd29j5aZd2a6TmJjIy1vrN24GdQ1NievqODXC+h0+GDWgBxbOFATpNbW0sdXnuETmI8kdRSrySENJDmY6qpi97xovK2UBNnO9zOPiDwe85NluLAOODUAQYr9n1KCSWfoLIVWCB9Hik1JEwTpGGHRigTZxbFuEwTqG9XxrbFsK/s8/Zfsc2OTVqqX1YaylIpEN52Rjhl1XnvJtZCW4tua6vFSXqV3OCNZGmnlq7HtuVuYx7r+LZdZN2XkFXeqWQ9sa6SUCwqzG1O/fsWdca+irK/HfHawNUWX0Vngeu4WVAxr///mZ8osQy74ra6yJ7suO4+D1l3zABSH/sk3bdmDuQg8+GGLHpvX8my5CCCGEFG6PTu/Ajd0eUDeyRLMJ63kWGiFEgAWBTMzMsXDWFISFBvMAm5l55iEqxw/t59lub1+95IEwIfZ7RnUbOUtknbEgWnx8nChYx1iUEQxB+fwpSOK2bFvEhyWwnm9Ozs1w41rmQQxCbPJq5WoOMDQ2lciGY0FF751b8fbVC977zcauCjZ4LuXX1axdH2XKls/T5++jF68jvwVc88XMSaPRoWtPtGyXudRf6OyJI3x/syBoRiwAOXpQLzi3bIPWLp2QmpKC7V5r0a9zO+w5eg5W5TJPkyZZo4BdHrE/GDY+fdHBAB60YxleLGg2rEVl0SCE03ffou+qU+jf2JaXxaoryfHbsVLapCymlmYsx5SWKgFVBVmJZTIlpfjPjLdnZZ0ZsTLcrxHZT4sKiY7nWYLZZcKFxwhGqnsNbYrFh27wLLTJO65AT10RvRrYYFSrqihRIvv/OCqaZt+34lfcf/cNXZce41mA4pmLwn3H/g8rY6gpCtYxrG9gFUt9PA0Ky/G+m9qbQ1FWmmfuUcCOFFY5ldSKmz55Ar8QQgghpODlVFIrrma3CfxCCMmMfY7eeegUli+YhYUzpyAiPIwHzQaOGCsahHD+1HEM7d0ZPQcMxaiJ06Gmrs77pvXq0ApJSYLPtuJU1dJbLDHSMjJQzfBFN1vGZLy9pnbmz7pa2rr49vVzjv3rWJZgdplwEeHh/Oeqzbt5xt26FUswc+Jo6OoboGvvARgyemKmYXTiylXM38nJj+7fQb9ObVG7XkPMW5Zz6f/BvTt51ly9Rpmr+2ZMGIkKleywZPUm0TLH+g3R2KESPObNwIadgp78JHcUsPsJLEC3ZqAzT5N9/CEUXmcfYMzmizDVVuHDHg4FvOQZafO61xXdhpVtsl52+Y31YsuI9ZrTEwteZaShJM/LQ2d3qZPl9Zb66qLA36Ke9fnl1ecI7Lv6lA+qYMu716/wV0pinweFocPCwzwIuHlYs0x971h/PzNtyQlb4rIKkGYlD19cEEIIIYQQQgj5y1iAbum6rfzz99PHD7B94xpMHjWYTzZlwx6OHdzHp4/OWLBMdBvWGy4yQhAIy09hISGZlrFec7p66W2rMlLT0EA1XUe4z12c5fXmloJsPjZYYvaSlfzy5tULHNizgw+qYMtZP7i/URL78tkTdG/fHOVsbLF6694c+96xIRlXL51D936DIS2deWjk86eP0au/5KA3tl7ZCjb8OpJ3FLD7xWg/CyTN6VIbu648wbOgMB6wS0hKhbSUICNOaO/VZ/ieJjlNKT8EBkfhwbtgUVksK6U9e/8d6lXIftw5KwtlQzDYsAlN5bz9cbOSXHe3Wth68RGefwz7KyWx775Fov2CQ3w7d41pxfvOZYUNjvA69wBfwmN5/0CGDZ649eoLGtumlxtn5eTtN4hLSoG9uWQjUkIKo94DhiLww4ccJ88WRsdOnsY+n4O4e+8BXr15m+P03C3bd2H1ei/ei09RQRFV7G0xc+ok2NoIMpiZbTv3oM+gYZluW6liBdzxvyz63alpK/j6+Wf5OI0bOuHkIe98eX6EEELIzzq9ZCiiv33IcRptYZWSlIBb3p54ftEHMSGfIKuoCj0rO7Savh0lpNLP1z89DoCv10wEv3kEOSUVWNdrj1q9pqCkjGR1UV7XI4R9/i5f0Rbuc5Zg344tePHsMQ/YJSQkoGSGgNGBPdt5L7v89iHwLR4/uCsqi02Ij8fFMydznBLLSl93eK3lwyY0NLXy9DgWpa0wftoc3kfuxbMnf6Uklk167dquKYxNzbBpz2HIyeX8N3jYezffx+07dcvyem0dPTy8L2ixJcQGTzx99AD6hkb5ss3FBQXs8ujJhxBM3uGLNjVKw1xXjQfh9vg+5WWsjv+fSMoCYuO2XsSSQzdQrbQ+br/5ik3nHmYqc80POqoK6LPyJMa3qwEVBRmsPnkXUXFJGP3/IRZZGdTUDodvvESL2fsxsIkdLPTUEZuYzLPoWJBr+6gWiI5PQrv5B+FSyxql9dX58zt55y0i45JQr2L2wUDGzlz3t58XyxJkj5+Uksqf24tPkkFCFigVDokY0twe+689h9viwxjbtjoPlq4+cQeJyakY3rKK6DbtFxyEY1kjlDXWgpy0FAJefsbak/f4RNm2Dul98Qgh+evo8VN48PAxqlaxR1Jyek/PjNZv2oIhI8dhyIC+WDBnBqKjozF/8VI0atEWd/2vwNjIUGJ9n13boKeX/v+NoqKCxPWrli1GdLRk38+Am7cwdtJUtGyW9VAeQgghhGTve2oKDrm7IerrB1TvOBIaJmUQHxmG93cv4Qeb2Pn/nIWQt0/gM8kFpao2QNseu/n0W1+vGYiLCEazietF95fX9Ujx9ezxQ95LrUVbV967jgWIfHZv55laDrXr8XXqNmgM9zFD4bl4Lu8Vd+/WDWzftBYqqpl7zf8ubV09DO7ZSTQldsOqpYiOisTQMZOyvU2fQSN4jz3XZvXRZ9BwlLIsg7iYGJ5Fd+fmdV4aGh0Vha5tnfkwDYvS1vz5sf5wbHptnfqNctwm1vvud4WGBKNza2ckJSZi5IRpePlcMkhY3sYOsrKS8YyDe3fAulwFVLCxy/I+u/cdhPnTJ2LM4N5o2c6N97DbuXk9Lw+eOHP+b29zcUIBuzzSUVWEkaYy1p66xzO6ZKWleABoz9hWot5trFz0c3gMtlx4hBXHbvPhDez6HsuP5/sLx8pX+zvbYu5+f7wPjoaFnhp2j22FMoYa2d5GRUEWp6Z34P3p2Pax56GqKMvvSzgFlj0vFsjacekxgkJjeM86dv2GIU3Q2K4U/rQXn8LxMVTwQbuzR+ZvHu8u68Uz74SvyVF3F0zbfRXDNpzjqdJsqAZbVtogfT9YG2rC+9pzfA6PRXLKd/469mpogzFtqol6BBJC8t/6VctEfTdY1lt2duz2hmPNGlixZIFE1pxVpao4dfYc+veWHP9uW6kizEyz/wKhnLWgvEDcpq2CsfNu7dv+4rMhhBBCiq87B9Yg+PVD9Fh/Dco66V+klamdPr2T8d+xECo6RmgxZZMo606qpAxOLxmCqh2GQ9u8/E+tR4ovFiAzMDLGpjUr8OVzEGRl5fiwgs37jvJsO4aVi375FMSDQWuWLeQBrM37jmBAV9d83x5zyzLoNWAoFs+Zho+Bb1HKojQ27T0CS6uy2d5GRVUVB8/4YsWiOVizbBG+ffnEg4ksi65Zm/Z8HVk5OR4U27t9Mz59fA+pElIwL10Gnl47+VCLP+3Vi2f8cZneHTNPqr764BWMTdKr1x4/vMfLWqfMXpTtfQ4YPgZaOjrYun4VhvXuDKmSJVHGuhy2eB9D/Sx63pHsUcAuj1j/ttUDBVNHs8OCW5Nda/KLuHvLe0v8zoYcZDXogAWaMmLBqex6vrWoaskv2Vn1/ympGYc1zO1al1+ywrLXlvaRHPDwNzmWM8pTjzshFkzcPSb7QAAzt1vWz5UUXy9fvcakabPgH3AT0TEx0NHWQrUqlXnqOevXwLKz3GfOwcXLvvgQ9AkqykqoYm+HBbNnwNpKENwWL9G8dvEMPFaswtkLF6Egr4ARQwZiwpgROHX2PKbOnIuXr9+gXFkrrF3hAbtKNqLbC4NYQwf2w7RZ8/A28D2f9Lpo3iw0chJ8c5idkJBQTJ8zn5edhoaFw6KUGUYPH4LePbqK1vn67RsmTZ2F85cuIyw8AhrqarC3rQSvtZ7QyaJxbn7LqUmuuJSUZGiop0+9ZlRVBIH572ITrX9VfHw8fA4fQYumztDQkGw2TAgh5N8WEfQavptm4fOTm0iOj4GCmhb0rCuj+aQNPBCUFBcDvy1z8PG+L6KDWRmnEnTL2KFOnxnQMEk/pj85uwdnPIah04ozuL1/FQLvXIS0rALs2w1ENbcReHfrPPy2zEVE0Btomlqh0QgP6FimH9O9xwmO6bat+sF/2zyeMcamv9btNwumlXM+psdHhsJ/23y8CTiNhOhwqOmbobLLEFRskn5Mjwv/hqubZuH93ctIjImAnLIadCwrwXmMJxTU/vwx/cGxzShdu7VEsC6rLLzA2xdR1XWoRIlsmbqtcW7FKLy5fooH4vK6HineWP+2pWu35HquOdZ9Fr+Iu/bwtcTvrp178EtG+45fyLSMBaey6/nWpGVbfsmOx5rNWQ66mDbPg1+ywrLX5i/PecDDn+TgWDdPPe6EWFZdXtZv37Ebv5DfQwE7Qkix08q1E9TU1LB6+WJoamrg8+cvPLiWxko6WC/E2Fg+en36lAnQ0dFGeFgE1npthmPDJnh82x96upLl3z37DUK3Lh3Rv09P+Bw8jCkzZiMiMhJnzl3ApHGjIC8vj0lTZ8Klcw+8eHBLookrCx5OcJ/Bp7yqqihj6co1aO3aGXeuXUZZ66xLtllAsW7j5rzMdMaUiTA1NcGpM+cwYNgoJKckY2BfwZcEPfoNxocPH7FwzgwYGRoiOCQEFy5dQXx85qE14sTHzuckp2a0P2NAn14YPHIstu/ai9YtmiEyKgoTp86Agb4eXNtm/qavllMThISG8kArW3/OdHeoq2df+nD42AnExMSiW2e3fNleQgghhcehqZ0gq6SGBsMWQ15VA7GhX3hwTVimmZwQix/fU+HQbQIU1LWRGB3Bg097RjVBz43+UNSQPKafWjQI5Rt2hE3znnjpexh+m2cjMSYSgbcvoHrHUSgpJ4+rXjNxdFYP9N5ySyLgxIKHV71m8MeSVVTG7QNrcHh6Z3RdcxmaJlkf01lAcd+Y5viekoya3SdCRdcE726dw7nlo5CWkoxKLQXH9FOLBiM6+CPq9JsBZW1DxEeE4P29K0hJzPmYnvY9b8d08eeRUXRwEO9Zp6ZnirPLRvL98j0lBQblq6Fu/1nQsRD0m436HIjvyYnQMpPMOGI96VT1zRD24cVPrUcIIcUdBewIIcVKaGgYXr95h0N7d6Bl86ai5Z06pGe4GhroY82K9G/BWM8M50ZO0Dcvi737D2Lk0EES99m9SycemGPq1a6FI8dPwXPNejy/fxMmxv9vrPrjB9p27IYbt+6glkN10W2/fgvGzasXeOYb06B+XViUt8e8xR7YsSnrHi6ea9fzzL8HN67CwlxQqt6wfl0eyJs1bzH69eoBKSkpBNy8jTnTp6CzW3pZgEsWAbCM5NTzNowlNSYU+YFlBbJg6cDho9F7oGCilHkpM5w/cRhaWpqi9VjfOveJY3k2pLy8HM+QXLzMkz9P/0tnMvXXENqxx5tnFDZtnH1TYEIIIf+ehKgwRH5+h9YzdsDCIf2YXtYp/ZiurKWPhiPSj+lp37/DrIoT1rmVxfPLB1G5neQxvXyjTqjeSXBMN65UC6/9T+He4fXotfkmL+HkfvzAkRnd8OX5HRiWTz+mx4UHo8uqC9AtLTimm9jVhVd3e9zY7ZFtXzZ23yzzr8f6q1AzEBzTTe3r8kDe9Z2LUbFZD5SQksKXZ7f5QIayTunH9DJ1cj+mL2+Wt2P66DPZH9Njw77yn7f2e/LsxOaTvZCanITrOxbCZ0I79Np8A/IqGjzzj2EB1IzklNV54JPJ63qEEFLcUcDuH5RV6SwhJG9YRh0LBk2ePhvBIaGoW7sWLC3MM623/+Bhnu3GMuCioqJFy9nvGTVp3EAi64wF0VgZpihYB8CqjKDsJujTJ4nbsm0RBusYBQUFNG/SGL7Xsp5yypw5dxEO1avC1MRYIhuOBRW37NiFF69e8z5ubNIqK9Vl6tetjfJlrfmUrdwEXDmHv+nIsZMYNWEKLw1u6twQUZHRWLx8JZq3c8OVs8dhoK/P13Nu6MQvQvXr1EbFcmXRrlN3Hkjt0bVTpvv+/OULzyocNqh/vmUEEkIIKRzkVDR4RtbVzbN5WamRTS2oG2Y+pr+4cpj3YGMZcElx6cf0iI+Zj+lsCIJ41hkLoqUkxqcH6wBoGAuO6SzrTBzbFmGwjpGWU4B59cYIepT9MZ2VhhqUqwoVXWOJbLhSVZzw5Mwuvs2sBFe3jC0v1WVMbGtD0zRvx/TOK/PhmP7/CoSSsgpoM3MXf16MXmlbbO5dFfePesGh6/jffxxCCqmsSmcJ+Rvo0wshpFhhJ7enj/hg1vxFPGgXFh7Og2bjRg5Dv96C3hasLxxrYsuCPKxUVUNdnfeobNm+ExITkzLdp7qa5DfEMjLSkJFRzbBMhv/MeHttrcwj3lkZ7ucvgm+zsxISGsKzBLPLhAsLC+c/92zzwuz5i3kW2qjxk3mJ6YC+vTBp7Kgc+8vZ2ghKW/4GNixm0Igx6OjSDovmzhQtZwFG8/K2WLJiFZYumJvt7VmWpKKiIm7fvZdlwG7X3v08e697l45/7DkQQggpuGN6+/k+uL5jEQ/aJUaH86BZ1Q7DYNNMcExnfeFOzOsLuzb9eakqy+D6r8R/OOTeCakpmY/pGbO+pKSlISUteUwvUVJwTP+eLHl71j8vI1aGK8xQy0p8ZAjPEswuE471tGNaTPHiGXe3vD1xee1kKGrqoVKLXrxM978cjunCctXfIaci6P9qUK6aKFjHsH526kalEfruGf9dVlmw75JiM2fIsaw6ZW2Dn1qPEEKKOwrY5TO/p0FoM++AxDTTf0mrOT7wfy74tnCSiwOfpMocvfkKB6+/wP23wQiLSYChpjJaVrXEiFZVoCQnOGkRioxLxPTdV3HyzlskpaTyya1zutThU3XFPf0Yinn7r+Pum6+IS0xBKV1VPr21h9OvnVhodV2R5fJLczuLJvnu8X3KJ8pm58mqvtBVU+T/Nuy1Ckkp3/m/V/ZvlOWgEPJvYgG6rRvW8GDRg0ePsWa9Fw8amZmZ8mEP3gcO8YDRskXzRLdJTk5GeISghCM/sV5sGQUHh/DgWnY01DXgWFMXS+bPzvJ6NriCYWWgK5cu4pcXL19h++59mD57PnS1tdG3V/dCURL7LTiY99azt0vPSGBUVVVQ2sIcz1+8ytP9ZJdlsGP3Pj5xll0IIYQUPWxAQ9PxgmN6yNvHPNvr/IoxUNU15cMeXlw+BGPb2qg/KP2YzvrFCcsy8xPL8su0LCIESpp6OWYJGmroou6ArI/pGkaCYzobLNFg6CJ+Cf/4Ck/P7eODKthym2bd/2hJLAuClpSVz/b61ORE0WshJS2L0PfPUQatJa6P+vIe1vXa/dR6hGR03e8KOrVsmGly6b/CrUUD3Ljmy/89ZspMDBs7mf+bTbpd77kED+/dwdPHD5CYkJDlc7x25SL279qKu7du4NvXz9DVM0DdBo0xcuI0aGqlD59ZtmAWVizM+v8UGVlZvPwa+9Pb7rV6Ga5fvYJHD+4i+OsXjJgwFaMmTsvxOYqbOm8J+gxKHy55/tRxHD2wD48f3MW7N69QrWbtLDMZu7s0h++Fs/zf7Tt1y3KwR1FGATuSScNKZhjbthoMNZRFy1afuAsjTWVM6VATBhpKePQ+BIsOBsD/eRCOubvy7COGnSx18TiKoLAYLOxRD6oKslh+7DbazDuIK/O6QE9dEAz7Eh6L1nMPwFhLha+noiCLU3feYszmi0j9noY+jSQ/vOdVl7rl0a2+5FQpC730b0ob2Zrh9IwOEtf/+AG+zaY6qqJgHXPM3YVvZ48VJ+hdUkSxIA/LJlsyfw42b9+FJ0+f8YAdG8ogLS0tsS4biMB62eW3t+8Ccff+A1FZLCulPXH6LBo1yH6iHCt9XbthM8xMTCR6vOWEleTOneGODZu34smz54WmJJZlJ7Lec3fu3pdYzsqQX715i7blyuVaThsXF4eqle0zXcey7p4+f5FtYJMQQkjROqazbLK6/efg8eldCH3/jAfsUpISUEJK8pj+5Nxe/EjL/2N61JdAfHv1QFQWy0pp3944m+OUWNZPjw3BUNU1gbxq3o7prCTXsbc7HpzYirD3z/94SaxUSWmUqtYInx5dR0piHKTlFEXDKCKCXqG0Y3PBetIy/Pm8vHIYNTqPEQ2yeHn1KL6nJMG8hvNPrUdIUVS/UVMMGzcZBobGomWB797g+KH9qFDJHtVr1sGVC2eyvO2uLRsQFxuLoWMnwcTMHIFvXvHg3NVL53HS9zYUFAV/mx279eaBPHEJ8fHo4dIcjZq2/KXt3rN9M5SUldG4WSvs3Jx1T06h8ja2mL1kpcQyowzBx7Mnj/DgZCX7KkhKypztLDRtngeioyIxoFt6/87ihAJ2JBMtFXlUsRT0jBLaNaYltFTSU+BrlTWCuqIchqw/i4CXn1HTWjDi/dTdt7jx8gsPdjn8fxnLsLMftQWrTtzBnK51+LKz998hIjYR52Z1hJmOoMygbgUTPH4fgv3Xnv9ywI4FEzNuu+RzU5B4Hsz1558QHpuICe1rSCy3t9DDB5X0PiekaHj4+AkvD+3Qvg0szM15EG77rj08QFevjqMoIDZk5DjMWbgEDtWr4cat21i7YRPU1CRLYvKDnq4OOnbvg+mTx0NFRQVLPVfzKamTxo7O9jYjhwzC/gOHUc+5BUYMGYjSpS34FFSWRXf9xi0c2LOdB7ycW7XjwzRYsI49v6PHTyIiIhINnbL/4MBUsbfLl+f2/sNHHjQTDvtgDhw+yn/WqVUT2tpaPFjXu3sXrPPawvevc6MGiI6OhseK1TxwyibvCjm3ao96tR1RoXxZyMnJ4dr1ACxbuRb2tjZwc2mb6fF37vHmfes6u1HfT0IIKYpC3j7BpbWTYVW3DdQMzHkQ7sm5PShRUhrGlRxFveDOrxyHgF1LeEknG95w/9gmyCrl/zFdUUMHx+f2gUO38ZBVVMFtn9VIiotC9U7ZH9PZ0AsWuNo3pgXs2w2EuqEFn2zLsug+P72F1tO38757PhPboWx9F6gbl+YBtNf+J3lJqal9zsd0vTL5c0yv2W0Cdg9vzKfyVm4/mJcDsxJdOWU1VGohmGTLsOe+Z0QTnJjXj5fsRn37AN+NM2BVr61EeW5e1yOkqNHQ0oJ9VcnPndVr1sbtl4Iqt/27t2UbsGNBMPFMuhq16qCURRm4tXDCqWMH0b5jN75c39CIX8Qd3LuT974WrvOzzl1/IGqpk1vATklZJdNzzGjBivWi+2NZedmxLGPNf8rIZD1crqgr9gE7H//nGLjmDPwXdkMZQw2JndN0pjfkpKVwaHJ7njk2c+81XH70HoHB0ZCVlkI5Y02ecZZTgEhYqpmxpPJDSDQPYh2e3B6O5dL/mI7feo2Vx+/wclHpkiVQv4IpZnepDQPN9Gy3gpAxyMXYmuvwnywLTejM3bc8E08YrGNY9pyznTlO330rCtilpAqa1yrLS5bTKivIIDQ65/H0+W3v1WeQKSmFdg5Wf/VxScFgATITIyMsX7kWQZ+/QE5OFhXKlcVRnz2i3m19e3bHx6DPWO+1BQs9VvDhDex6l86Cfjj5qUxpSwwb2B9TZ83F28D3KGNpgSP7d6OsdZlsb8PKRa+eP4XZCxdj4dIV+PT5C9RUVWFVxlI0BZY9L7tKNti0dQfefwyClFQJ/ljsmzk21OJvuOzrhz6Dhkksc+smOKk/f/Iw6mkLPkwtXTiXD+rYtnMPNm7ZDkUFBdhWqohLp4+hWpX0zDk2NGPXXm8Eff6MpKRkPtRjYN9ecJ8wRtQjUCglJYUPomBDKlhpMCGEkKKHBcjYMIg7B9ciNvQLL7PUKlUWbWftEQV9KjbtjpiQz3hwfAtu7lvBhze0nb0HR2fl/zFd3cgSdq3749rWuYj6+h5qhhZoM2s3NE2yP6azwF7HZacQsGsxbu5dgdiwL5BVVIWGsaVoCix7XjqWNnh0agfPamM969hjNZu0gQ+1+BvY4AuXhYdwddNMHmRjWXEmdnVQp+8Oid59bL+3m+cNv82zeXCPPb/yjdxQq5e7xP3ldT3ybzuyfw9G9O+O8wEPYWlVVuK6do1rQ05eHruPnOWftRdMnwTfS+fw8f07HpyxLl8RY91n5Rr4MVOXxuLVXnAVO0//+CEQtSuVxp5j5+HgWFe0/PSxQ1jnuQTPnzyCtLQM6jg1gvucxZmCW39bTr2lxYkH64Rs7Crzn18/f87xtgf27oCWji7qZMi8y+9tLKj7K6qKfcCuWWULKMpJw9vvGdzdaol2TGBwFG69+gLPfg3572k/fiA4Kg5DmleGvroS4pKS4X31OVrO9sGFOZ1QLkN/tl+x5cJDjN96CZ3rlMe4dtURHZ+EhQcCeOnopXmdM/WKE/c9LY2XduZGqsR/eZooldd+fYx4oPN5UDisjTKn81sZacD72jMkJKdCXqYkWlW3xOJDN/jzndHJkZfOnrz9BpcffYBn/0a/vE1e5x5gxbHbKCn1Hypb6GGiiwOql8m+cS3bHtafr7GdGdSV5H75ccm/gwVvtmxYnesBZPa0yfwi7s0TQbaYEBtykNWgg4unBFlk4sxMTbLt+da2dQt+yc7m9YKpcOLU1dX4MIbsBjKwzLW1nktRkLLbPxmx7L+RQwfxS05YYC+v2H1+DXyR5/UJIYT8e1j/tibjcj6ms+BWrZ6T+UVc3+2Sx/TyjTvxS0YdFmc+pqvqmWTb8620Ywt+yU6TsZmP6SxLrd7AufySlZIysmg0omCP6Yy+tT06LD6S63rGNrXQafnpfFuP/LsaN28NRSUlHNy3C+OnzREt/xD4FndvBWDRqo38dzYgLCT4KwYMGwNdA0PEx8bi4L6dcGvuhGOXbvDg3e9iWWFTxw5Dh649MWL8VMRER2H5glno2LIhLydl25kdVpHDgoq5kZKSyrfP2nl1/epl/tPSSpCJlpXPQR/5er0HDefVJ3/ao/t3UMFEg/fiYxlyvQePQIcu6VUzJO+KfcBOQVaaD084cP0Fz5YT/oGxskwWWGLXMVIlSmDNQGeJAFkDGzPUnLADOy89wbzu6ZH7XxGbmIxZe6+ha70KWNangURZpsO47djr+wx9G2dfJtp23kHRsIicZMzo+1Usq27RwRtoYGMqGujARMQl8uERGbHyWfZ/XFRcEt+vOqqKODHNFV2XHoPdyC18nZJSJTC/e1241sr+P5ucsNs1tisFPTVFfAyNweqTd9Bm7gEcnNROIuNPHAsSxiQkw82RBkoQQgghhBBCSH6RV1BAk5ZtccRnL8ZNnS36rH3IezfPrmvasp0o0LV03VaJAFndhs5oVMMGe3dsxowFy35rO1jft4UzJqNj996Yv3ydaLlt5apoUK0CfHZvQ4/+Q7K9fefWjbMcpJBRxoy+Py02Jgazp4yFVdnyaNgk+y8K2P5mQdFfLYf9Gay8t41rJ5SyLMN7z7FS3PFD+yE0OBiDR43/449f1BT7gB3ToZY1L4u8/iK9F5vPtedwtjeHskJ6rfSVxx+w9MgtXq7K+q8Jvdb+/SlTt1994YEjl5pWfOiCECsvtdRX533WcgrYefRuwIN+uWH39bvY43RddoyXka7o92vZcKHR8ei14gQ0lOSwfWQLXgp79t47TNp+hWcS/krQbu2g9ICqAytprmyO2hN3Yr7PdRx1z7qH1b6rz6CtIs+HURBCCCGEEEIIyT/t3LriwJ4duOnvh+q1aotKZRs2aQllFRXRen6XL2CVx3xerhoZES5abmxW6re3gWXzxcREo7VrZ97HTcjAyATmlmVw87pfjgG7ecvWIC42JtfHMbf8ey2W2PMY3rcrQoO/wef0FR70zA7LVmSDIMpWsPnj2zV68gyJ39mQiv5dXbByyVz0GjCUB3FJ3lHADoBjOWNe5sqy6ljA7u6br3jzNRKzuwj6rTEP3gWj4+IjaFW9NAY1tYO2igKfjDrK6zwSU9L/6H9VyP/7trHy1+wGQeTEXE81zyWxvyMxORXdlh7jPfiOT3URTX0VUlOURWRc5ikvLPOOfaGiqigIgLI+fZ/DY3F/eS9RULR2OWNExiZiyo4raO9gJZo8+6tYfzwWiNvn9yzL679GxOHKkw88EMqy+wj527IqnSWEEELIvyer0llCCOBQux70DAxxeP8uHrB7cPcW3r5+yXvHCT1+cBe9OrREs9bt0XfwSGhqa/MA1IThA5CUmJ4o86vCQoL5z47ZDDfQ1Bb0Zs+Ombllnkti/wa2LeOG9ME134vYuv84rMpVyHbd+3du4s3L55g23wMFpVV7N5w9cQQvnz9BJfuqBbYd/yIK2PF+Vf/BpZYVtl98jAXd68Ln2gseIHOyMZUYBsGy3dYPbiKxA9l0UTZUISdsQEVSiuTo+PBYycEKLNOMYWW3pQ0yZ8Hl1L/ub5XEpqR+R5+VJ3H37TccmtQOVoaZe9VZG2ri6tOPmZa//BQOU21VXg7LPPsYBnM9NYkMRsbWXBd7rj5DSHT8/9i7C6iouiAO4H+V7u4GETABEwPFALu7u7u7u7s7UMAuDOwO7EJsBQnpLr9z734sLI2C1PzO2YPsvn179+0+7zI7cweaSqLBwD9VChkH/liANjHpN7rUpXJYQgghhBBCCMlrbG3o1h26wnnvDsxZupaXZ7LmCambH5w/dZxnu63dvl/kviFBQVBQVMpy/xKSkoiLFU0YCQn6JfK7korg79bVW/bA1Dx9FpysXNYNHgtbSeyM8SNw+pgLtuxzzfbxWHYjW9uZvQYF7V+v71ccUMAuVVksy/o6//gjTtz3Qtua5iJZV1Fx8bzLYmqsYyzLEjPSyLotPAv0vfkuujDtBc9PIr9XL6vNg3Kf/UPQqU7uy0HzuyQ2Kek3hm65yMuCnSe25mvrZcTJxgSHbrzGfS8fYbOH8KhYXHjySeR5aSjJ4PGHn/y21EG7Jx/9eGfevGgAwfZ98eknWJtqZng7azRS3kBNZA0+QgghhBBCCCF5p13n7ti6bgUunTuFM8dd0bJdJ5HmB9HRUSiTphnCzauX4evzHQbGJlnuW0/fEO9evxS57rL7WZHfbavXgpy8PL58/oi2nbvnevyFqSR28awpPPi5avNuNGqa+bp1TFxcHA/s2TdyyrDD7L9ywtUZMrKyMLcoX2BjKKooYPc/S31B4GbmwZvwD41Kt4YaazCx1f0ppu67hqY2JnjnE4TVJx/yUtrstK1ljo1nPWGiqcQ7qN5+8x0n7r8X2YYFrVi31Cn7rvHHZ4/HSjp9gyN4N9b6FQ14EDEzGWXl5aXJe6/ixD0vjGtdjWfJPfL2Fd6moywHHVV5YcCuWlltDN7ojtn/d39dc+ohz3Eb0UzQcprp7VARbnfe8U5Tw5pa8+d66dlnXr46qEkVvj5eMusxu6CvppDpOnTMhrOP4e0bzMtqWWbet8AwbDzniYDQaGwf3jTd9qzE+c33X5jXTbCOAiFpXbt5C42atYH3S0/e4bWocWjaCjdu3eH/njtzKqZPGi+87eqNm5g9fwk8nz6DtLQUmjk2xrKFc6GpkVIO0G/wCOw7dDjDfZcra4ZXnvdErnvz1gtzFi7BtRu3EBkVBQM9XQwfMhDDBw/I9dgDA39h7qKlOHfhEvz8A6Cro412rVti+qRxkEvVwSsyMhKLV6yB2/ET+P7DF5oa6nBs5IA5M6bwbsDJTp9zxxG3Y/B88gzvP3xE3dq1MixHbta2Ey5evsL/3atblwy78xJCCMl/357dguukNui/15N3ZC1qXCa2wvfngjnYrvdU1OwmmIPDA3zw0HU9/LyeIuDjSyTERmf4HP0/vMCtXQsQ8OkVYsKCISmnCM2ylVCz+0RoW6R8nk7r8trxeH5uL6wad8mwG21aCXExuL1nEd5edUNMRBg0TCugbv/Z0KvIVoP+Ow+OrMWtXfOhV8kuw3LhX1+9cGffEv5ax8dEQUFDF1VaDYR1a9HPDeGBvrizdzE+PbyM2IgQyKpowdKhQ7quvxnxvnMOd/cvQ9C395BV0UDFpr1QvfNo3jk42e7+NRH83Zv/u2aPibDrOfmvnztJj5VsWlWsjAUzJvI119p06iZyu31DR+zavA5zJo9B42at8P7da2xYuYSX0manRbtO2LZ+JYxMzXhA6N6t6zh7wk1kG7ZW3tS5SzB70mgE+P1E/UZOkFNQgJ/PD9y9dQ116jfiQcTMmJbN/0DcuZOCpbFePHnMf1675M6DbHoGhqhkXZVft2XtCmxdv5J3umWBTLY2XzK2raGxqcg+r1w4y9cD7NA182YTnVs0xPevX3D7ueA8yMzzJ4/4dsm8370RjpmVMjNsncLNa5bBqWUb6BkY8aYTLMPvsvsZTJ+/jDcaScb2xfbJBP0SJDcl769G7XoFGmAsTChglwoL0s06dBOmWkrpMshYeSzrYLr5/BPsv/qSB95Yk4OVJx5ke5DHtKyGsMg4rD39CJGx8WhU2QhbhjqiyewjItv1aVgRuqpy2HDWk5flsk60bI04tq5eBQM1FKTLzz7zn6zpBrukNrFtDUxuX1NYXnxofCvMOngDE3df4aXALIB3fFo7aKuk/KHNrjs5vT1WHL+PSXuuIio2AYYaCljYwx79Gokuhslu08imPJZlDrKOr+wSFh0HBWkJ1Cing/WDGsPaRDPDZhMsg5KVQhNSXDVt0gjTJ0+Avl7Kh52bt++iaeuOcGrcEC4HdiMoKBiz5i9Ckxbt8OCmByQlBRmv0yePx6D+ou3Xv3z9iu59B6FFM9GlAR55PkHjFm1Rv24dbN+4BvIK8vD2/oioaNHS/5yuydGmcw98+PgJc2dOQVkzUzx99gKzFyzBx0+fcWT/LuG2A4ePxpnzFzF3xhRUqVwR770/8EDkk+cvcOfKBWHa/akz5/Hs+UtUq2qD2LjMM5FXLVmIkNBQdOjWK9fjJoQQQlIzrt4INbpNgLx6yhwc4vMRXtdPQKNsZehVtMPnRx4ZHrTYiFAoahvCqnFnyKpoIjokEI+PbYHLhJbosvocNMtWSXefH6/u480VN0jIZF3al9rFVaN5IKzegDlQ1DLE09M7cXRaR3RbewHqJn+eCRPi+xn3D62CjFLGf3D/9HoCt8ltoV+pDpqMXcPHzI5NQozo54bQn19xeFwzKGkZwWHYYkgrqSHM7xtCf6YEDTLz+dEVnJ7fBxWcesB+8HwEsCDo7oU8OFin73Thdi2m7UB8XAwOjxH9bEPyJ8tuwYxJvMlDFdvqIrfZN2yCOUtXY8fGtXDet5N3PV2zdS/Wr1iU7X6HjZ3MA0Ob1yxHVGQE6jduitVb96BNo9oi27HPsDq6+jzgddLNmTdt0NLWRXW7Ov+kGUN2hvXpIvL7zAkj+c/2XXti5SbB59+rl87zny4H9vBLaqm3S+bmvB9KyipwcGye6eNGR0VCXTPjirTU9m7fxINvyVhQNDkw+jk4nv/U0NLi3WhXLZ6L4F+BEBMXh1WFyli/82C6gCgLlE4cPiDDY/Cvu+0WZhSwS2VYMxt+yczAJlX4JTX7CqLfiLH14QIPjBa5TkpCDIt62fNLamm3YxpXMeaXgsTW02SdalmDiuQ/eJ+s6Zfj+7Ny1vWDU9YkyAwrmXWd3DbLbVjW3K/waJ6FlxWW2ccuOZXR65EWC5iyCyFFlbqaGmpWF3wjl2z+kuUwNTbCUed9woVxLcqVRU37xti17yCGDhSc66YmxvyS2uWr1/jPXt1TPlCwSbnvoOFwsK/H95msQb0/y15lQbd7Dx5i+8a16Nuru3BfwSGhWLpyDaKioiAjI8N/Hj1xGlMmjMHYkcOE24mVEcOgEWPg9d4b5czL8uu3bljN109JzjzMDDsOTHLQkhBCCPlT0opq0LEUnYNZkG7IEUEztFcXnTMN2OlXrsMvqRlVdcDmTuXwxsM1XcAuMSGeZ9fV6DqWZ9jlRMCHl3h79SicJm6CVSPBH9IsG27voNq4e2AZWs3K2X4y4rF+Iiwc2gsz11L7nZQE9+XDoV+lHlrPTvncYFAl/eeGy+smQE5VGx2WHUcZMfFcjeEmz+6rjcajVwn3HxcdiQeH18Cm7WDIKAmSIdRNM1+sn+StAcPH8ktm+gwawS+p1akv2iSCBXGSg0PJpKSkMGfJan5JLe12TIMmTfmlILEvp1mwkH0OT72mW0bjTevImYz/z8jMjkPHsrw9KjISr188w5ptKediZlgwMG1AMKPmHHvdzuRobB279eaX7CQlJfFLSUWtMUk6rCxVq/f6dJl0BYE10qhfwSDTNfPyk0H/Tag2/s8/rJB/y9nFDWLyarw0M606DZvyDLDkSXLyjDmwtasPZR0jaBmV47fdeyBIyc4K2//eA84i133+8pVfz0poUzt+8gzsGjhCXkMfqnom6NKrP77/8EFBu//wMRo51BfpYlXVxhqqKio4cVp0vY+0Djgfga11ZZS3TFkygD3vN++8MGbE0DwZX1y84MOKgoJohoCigjyfrJM7dCUmJvKLgnya7RQVBLenmtiTg3WEEELyB8vsWuWoxssc03Ie01T4BS37P/zGjjnYP7Q+NrQ14gEodpvPm+znYLZ/FuRKm4HFrmdllam9v3UGh0Y7Yl0rfWxsZ4IzC/rzctSClroUM7fEpWRRRlwCpcqkz7d45LoBv5MSYdtheI739+GeO9+feb2UL7JKlxFDOfu2+PTQgwcB//S94O/9HHX6zszw9m/PbyHoqxds22X9uSHE5xO+PL4C69YDcx2sC/f/wTPqLB06ilzPApOJ8bE8+46QgnLs8AGYqUtjw8rFBf4iPH5wF4YmZsKS1sKoT6eW/Hj9+JZ9Zm1xRBl2JNPmFTlZny+/9WpQgV8KwrlZnZD0f3DAUF0QBCCFV+sWzSAnJ4sDh12wcM4M4fWsjJJlbO3YtI7/zoI+fv7+GD96OHR0tBEREYkDzi5o4NSSl4RWLP/3XYO37tyNEWMnoW/Pbpg5dSLCwsIwd+FSNGzWGo9vXxVZhy0tFoTKadv4P+m0xJrnsE5RaUlKSuDVa8G3/hm5ffc+vD98wprli9Ndz8TExqJWgyZ48vQ5lJWU0LlDWyyeNwvSqdaqyAkWDGRrzC1YsgLGRoYwNzOF59PnWLdpK/r37gFZWUF5vLy8PHp07cSvr2ZrA5sqleDl/QHzFy9H44YNYGVB5e6EEPKvmNk1g7i0LN5cdkGdfjNESiN93zxEk3HrhNlVkUH+qNpxOM+cio+OxOvLLrzUs/sGD6gb//0c/OzMbnhsmIQKjt1Qq8dExEaG4e7+pXCZ2Bo9N1+FhHTmc3BSYiIbZbaPUar0n83BucWOV1JSIiKD/PDwyFp+XYUmomt/Bf/4iPvOq9Bm3qFcBbZ+fXkLJW1jiEmINnpTNbRAYlwMQn0/Q0VfkHmeUzHhIbi+dSZfB09aIeP1tX+8FHxuSIyLxaFRTXhwT1JOCeXqt0Xd/rMgLin43ODzSrDskJikFNymtMePl3chJikNkxqOqD9kAaQVVDIdR+CXt/ynmpHomuSs7FdMUga/vr7L1fMiJK+kbl7BynELWt0GjeBx/wUKs7lL1yA8LJT/W1m1YJcJKwgUsCP/tHlFUVLZOGUBflL4sTLJdq1a4rDrUSyYPV34QfrgEVceNGJNC5IDXXu2bRIJkLH13CpWtcOuvQeweln2a2VkJSIiAlNnzePBpS3rU1LzWVCpvG0t7D14OMtGDCzbL7lZRFYunzvB14zLLfOyZjzLLrUvX7/B96dfhoG81Nl17PYuHdqJXO/r+5P/7NZnAIYN6s+DdI8eP8HcRcsQGhqG3ds25mp87HU77ebM1xmpXjelDKJn187YuGaFyLYsCDti7ESRMtcmjRzgemB3rh6TEELI3xGXkkHZOi3x9tpR1O6bMgez8k0WZGG3MaXLlEHTSZtEAmRG1Rpiz0A7vHQ/gAZD/24OjouOwM2d81DRqQcaj0mZg7XK2WDPgFp4dfFwuqYGqblNaStsFpGVjstOpCtZzQ9nFvbH+1un+b/ZenBtFxyBqmG5dOWnZrWbZ1hSml1wTVJeKd31UvLKwttz68aO2VDWNUX5Jl0z3Sbyl+Bzw5lFA1ClVX8epGNr2rHmEHGRYXCaKPjcEBEk2O7iqlGwbNgZ1buMRsiPj3wduvCA7xk2skh5bsH8JwsEpn9+isLbCfnX/kXziuLG2DR3XxwUNxSwI4QUG927duKdTVljhXp17Ph1zkfc0LKZo0iJ5eWr17F4+Sq8ePkaQcEpH9qM32fdHSkn7j54hLCwcHTt3IGvT5HMQF+Pd1dlY8sqYLd57UqER0Rk+zhsX39i1NBB6DVgKO/oygJsQUEhGDxyLC8bzax0NCYmBq7HT6K5UxOoqamK3Ja8pkT3zh0xd8ZU/m8WSExK+o3pc+Zj1rRJPFMuN9h4nr14iW0b1sDM1ARPn7/gXWNHjpuETWtXCrebMXchjp48zYOslStWgPeHj/x5de7VH6dcD1EpLCGE/ENWDTvh9aXDPBOKrdXGsO6jpjUdISmbMgd/8bzOM8ICP70WCZwEaf39HOz7+hHiosJh4dABSYkpc7CChh6U9czw48XdLAN2jUat5EG/7Kjo/dkcnFt1B8xGtU4jeTkvawhxYlY3dFhyDJplK/PbX3u4wM/rCfrsFO3cXhC+v7jLsyV7bLySZfbh79+Czw2WDTuidm/B5wYW/Pyd9Bu3ds9HrZ6TeCYcyy5k2Dp0DUcs5f82qFIPkrKKOLt4IL49vw39SqJNBQghpLihgB0hpNhoUK8OdHW0ceiIKw/YPXzsycskly+eL9zG8+kztGzfBR3atuLrrmmoq/My0cEjxvLA1N8KCAjgPxs2bZ3h7erqWadyswBVTkti/0S3zh3x1ssbK9Zs4GWn7EN1p/ZteEfZV28EJSRpnT7njpCQUPTq1jndbSoqgpKUhg1Em7g0blgf02bP4/vMTcDurPtFHHE7jqvup3lpLMNeSyVFRfQbMgKDB/TlwTm23xVr1vNsSVYam7ydqakxP/ZnzrmjVYtmuTo2hBBC/hwLusipafOsOhaw+/nOE8HfP8B+UMoc7Pf+GY7P7ALzuq1g234ozxpj67pdWj0WifF/PwdHhQrmYNeJGc/ByY0GMqOkY5Ljkth/QUnbCNA24hmCJjWaYO/gOrizbwnaznfmgcXrW2ehWqdRKCMuiZgIQckYC3Qlxsfx3yWkZfm6dBmRlFNERKBvuuuTg6hSGWTfZeXyuvGo4Ngdcmo6wrEISozBf2elrmzNPKn/S1kNbUQ/NxjZ1setXfPw6/NbHrBLLqk1tKkvsp2hbQP+M/DTm0wDdsljj41InyUYEx4qzCIkhJDCjgJ2+aDVAjcYqCtgQw46pRYHaj3WYv2gxuhaL3frjrCgxIyDN3D8rhcCwqLQuY5lnh+zrwFhsBm7GyemtecdfJkt7k9goKaAZlVN8/SxSMFjGWJdO3XAjj37sHbFEhw64sY7pTo2chBuc+zkGZ7ttn/nVpH7/goKEjYsyAzrHhobF5vufhkFsFjr8+QupanJZ7F+3b8oiWXmzZyKyeNG4ePnL9BQV4OmhgbK29RE7Vo1Mtx+38HDUFNVRVPHxuluK2+ZdWp/bKzo8crOy1eCdfRYc4vUbG0EHfHevvPiAbuXr17z323SbFfVWrDdm3fv0apFrh6aEELIX2CBN4sGHfDi/D40GLaENx9gnVJZd9PUzSDk1fXQbIroHBwdFgRJuaznYBaUYg0DUosJF52DpeQFc7DTpE0Zrr+W1fp1hbEkNjUW7FI3Lo/Az4J5Mjo0CNGhgbi1ewG/pPbu2jF+YSW0xtVEu2ymXqvuw113JMTFQkwipTs6W9+tjIQUFFmwMBdYIwl2eX52T7rbNrU3RcORy1G5Rd90Jb1pJfz/GrPxZYWts5eZ5Pv++vKOBztTNylJiI2CqgGVJRYHnVs0hJ6BYbadS0u6nB6n8cP64fvXL7nuRJsZ10N7sXHlEnz/+hma2rq4/dwbMdHRmDZ2KK5dvoCgX4EYPXkmxk6ZlSePV1xRwI4UmLOPPmCr+1Ms6FEPtqZaUFPI3eL0f2qr+xPUttSjgF0xxbKtWObVqbPn4XL0BG9+ICaW8l9dVHQUxNJkp126co13cDUxzvrDqaG+njCglOzM+Qsiv9vVqA55eTl8+PQZ3bsIMr9yI79LYpOx5g3JDTZYVtu7997Y/n9jjtRYg46LHld5+WxGa9w5NW7EA5mXPK6iZTMn4fUXLglKYmz/D6DllJamYO3IR55PhWXN/PfHT/hPbS1Bx2jN/7d77PlUpMHEQ0/Bdjra/76zNCGElHSsC+cj1/X4cPc83l0/wRsJpM7wYsESto5dal8eX0NEoA+UdLKegxU09RDwSXQO/nBPdA7WsaoOCRk53jCBlejmVmEriU0tPiYKfu+fCgNesioaPHCY1tnFg6BuUgHVO4+CmnH5TPfHSpVZM473t04Ju6myMmKv6yd4kDW3nVkzGsu1LYIGJKxJhLKe4Ity42qNePD186OrMK2Z8rmBd24tVQqaZQWfG7Qtq/LnyK5nnWJTthMEEzTLWWc6FlYCzY4BCxqnXk/vzRVXHvg0qirI0iOkJFiwYj0kJFOC8v9CgL8fpo4egjadumH5hu2Q/r9p3IFdW3DS7TBWbNwJQxNTaOsIEmpI5ihgRwqMl4/gW9FBTaqgdOn877RFSoYKVpaoUqkiJkydyYNNrAQ0NcdGDbFu41aMmTgVLZs3xZu377B4+WpeSpudTh3aYuXajbxs1crSAtdv3obbMdEPqGytvKUL5mDU+Cnw8/PnDS3kFeTh4+OLazduoZFDfXRq3zbTx8goKy8vPXn2HO4XPWBdpRLPcr115x5WrduICWNGwq5m9XTbsyxF1pijZwblsIyqqgomjx+NhUtX8s6tDezr8iDagqUreJdcI0MD4basOQRrcPHhlSColpE2LZtjxtwF6DVgCGZMnsBLXJ8+e8H3Z125IurY1eTb1bWrhUoVymPclOl8HcJKFcvD2/sj5i9ZDj1dHbRpmVIOyx7z0f+BvMDAX/zn0ROCxarr1bbLtkyZEEJIzqgZWULdtCKub5uJqGB/YSAomVHVhvA8vhVXNk2FWa2mPJvrvvNqXkqbnXL2bfHIbSOUdU14BtX357fx7oboHMzWyqs3YA6ubJzCu9Gy7DIJGXlE/PLFt2e3YGhdnwcRM5Pbrqh/wuumYP756fWU//z88DKkldSgoKkPLXNBEOrS2nG8bJMFr6QVVRDu9x1PTu3gz6nZZEF2IuvumlGWH8uWY4Gu1LeF+X3Dzj5VUbP7BN45l9Ewq4Ry9m1wZeNUnmWnqGnAO+yyLLRmU7eJ7HNHL2s+vqwaPWQ0luSsydS3se6urIHEvYMrISkjD/0qdXkg8u7BFbyzr6KW4HMDC/TW6TcLF1aMwOW143njkmCfj7i9ZyFfyy51Oazr5LYI8/uO/nseCq9jzU/Ymn+X103gz9P/wwvcP7QKNu0EpdiElBRlLf6++3Zuffnozdfybte5B6rVSjn/vb3eQlNLB207d//nYyqqKGD3B158CcDSo/dw790PxMQlwEBdEb0dKmCwU8bf9Pz4FY5lx+7hzpsf8A2OgKqCNGqW08WcLnWgrZKSmu/tG4x5h2/jwXsfhEfH8Ywzlnm2bXhTiJUpjYiYOCw4cgfnPT8gIDQaCjISsNJXw9Le9VFWJ/PW5nmFLSK/9Ng97L/6ko/P2kQTy/pk/A3VrdffseLEfTz54Md/r1lOB/O610U5XcGC9dZjduFboKCltUYvQVYPK1utbamLuYdv49qLL/jsHwZJ8TKw0lfF9E52qGqW8mHO+cZrjNx2CYEHRos8LntdDt98jSdr+mU4ruTHPXzzDb8wE9vWwOT2giAAKR66d+mIidNmwdzMFNWrppRCMKw8ds3yxVizYTN27NmPClYW2LtjMxYtS2lmkJkp48fwzqfLVq1FRGQkX/dt744tsGsgWso9qF8f6OnqYuXaDTjk4oaEhETo6mihrp0dKlWogIIkISGB8xcvY8Xa9YiNjYOVhTnP6uvTs1uG2+8/dIQHQW2qiJaepjZzykRe6rtlx24e/NPW0sTEsSMxfdJ4ke2ioqJ4+W1WWFnyLQ93zF24FIuWr4J/QCAPpvbu3pUH8JIbY7A1/C6ePsYDeZu27cQPH19oaqijsUMDzJkxhQcPk7FAaf+hI0Uep3PPfimlxer/tqyJEEKKM6uGHXF92yyeUaVtIToHs8ytBsMW4/HRzXhxfj/UjCzQdNJm3HfOfg6u3mUMYiPD8NBlLeKiI3mmVtNJW+A8WnQOrtS8D+TUdfHIdQNvesHWUZNT1YJuRTuedVXQziwQ/YzqsWES/2nVuAucJmzg/9a2sMWL8wfw4tw+nlnHAprsOsfx6/kxyy32Bd3vpERhw4dkTcav5wGw23sWITYiFOqmFdBukQs0TCuKbMfGIKuc9fydGzW7T+TlyU9P78ajoxshq6LJm2vU7Cb6uaF84y4oVao0Hrqsw6tLznxtOqtGnVGn73TR58eeW1JKkxHGpHpjtJyxG3cPLMeri4d4kK5G17Go3mVsnj0Pkr9evXiK1Yvn4eHdW4iJiYa+oTG69RmAfkNGZbi9z/dvWLN0Hu7fvomfvj+gqqqOarVqY+rcJdDS0RVu99HbC0vmTMPj+3cQHh4GNTUNVKlaHet2HOBVOZEREVg2bzounTuNwAA/yCsowqJ8RcxdthZm5rk///6khJXpM2g4ViycjW+fP8LEzBzTFyxH3QaNhNs9uHML2zeuxvMnjxASHARdfUM0bdkWIydMg5S0dJYlsXduXsPCGRPx/t0baGnrYvAo0XMvKx/ev+PH796t64iLi4VlhUoYM3kW6jdyFJbWHnXez//drbXg/2dW+rp2acp6pkbKggzem8/eQ98gd+X3JQ0F7HLJ88NPtF54FKZaSljU0x5aynLw9gnCl4CwTO/D1mdTkJHE7K51oCIvDd+gCGw854lm81xwd1kvSEkIXoauK05CSVYKy/s0EGwXHIHLTz8j6f8F6GccuIELnh958MpESxnB4dG45+WD0Kis14hKTEpCDtaw50HBrCw/fh+rTj7A8Ga2sK+gjycf/dBjlaDVfGoXn3xCz9Wn4WRjgi3DnPiHhLWnH6HFfDfcWNSdByn3jmmBnZee4+D1V3CfIyhZKKejwp+rf2gkhje3hbayHCJj4+By8y1azneDx4KuPED5N9jjdll+EpWMNDChrSCbSEc56/VMSNEzduQwfsnMiCED+SW1RmmaJrD14RLCA0Wuk5KS4h1J2SW1tNsxzRwb80tBYuce+3aLBbeSO7aVt7TAjUtnc7wPz7vXs92G7Tu7Yx4ZGYmnz19i/84t2e7P0EAfu7YK/mjJCutYy4OvyxdnuV3vHl35JTus421y11tCCCF/xrb9MH7JDCtvTF3imFEDApaRNe6C6NzKMsoaDF3EL6ml3S45WMMuBer3b15iyhpUpO6amtF402LNG9jlTwzYlz6LnWWtZfS4rBFE/cEL+CUzwd+9ER36CzbtMn9NM5NZRh5fMiOb90nqMmt2+ZPHKVunBb9kRdAYIwd/KJF/6unjB+jSshGMTcti9uJVPOD2westvn35nOl9fgX6Q0FRCVPnLoayihoP2m3fsArtnezh8eAl/xzP9OvcGopKSliwcgOUVdXg5/MDVy+dF34GnD99PC6fP4OJM+fDyKQsgoN/4dG92wgLTd/EJDVWkZKTxnGpl+rJDAsqLpo1ha/vxgKGLDDXv0trnLvxCGblLPk2375+QhXb6ujSsx9k5OTw/s0rrFu+EF8+fcSGXQezDLj16dAclW2qYf3Og4iLjcWapfMRFREBA2PWeCdzfr4+6Ni0Ph/T/OXrICevgL07NqFf51bYdeQUD9qNmjgdVWyqYebEUXyb8pWteemrfcMmWL98EV4+f4Kt+135/jQ0s8+uLukoYJdLsw7dhKq8NM7P6Qzp/wNt9crrZ3mfKsaa/JI6gFbDXBtVxuyGx7PPaF7NDL/Co/HJLxT7x9ZDU9uUE6WDXUoU/5H3T7S3s0CP+infDrL7ZqfquD3CbLaseK7uy5tlZCQ0MhabznuiX6NKmNNVkI3SoKIhxEqXxrwjt0W2nb7/Oj8mLDiWjK0ZV3X8Hmx2f4J53erygJnO/9mFqTPnmE1DBNH55GPVsJIR7Cbvx4Grr7Col+gHutxij8uy9lj2YtrHJaS42e98hF/mzpyaLtvtX7tz/yHMTIzRvk0rFFYt2nfBxctXCnoYhBBCioHXl4/wi13vqekyx4qSb8/v8E6tabMli4u9g2rzoCQpXBbNnMwz5I5fvCXMFrOrl/XagxWr2PJL6gBa1Rp2qF3JFNcuu8OpRRve6ODzR29sP3gMjZu1FG7bumPKF7ueD+7z35OrMRh23+zUsy6HH9++ZLtdTrLKAvx+4sy1+6hQWXDe1anfEHUqm2H9ikVYu12Qvda+S0/h9ixQWK1mbR5AYxlu81esg7KKoLItrfXLF/KA276j5yAtI8Ovs61eC/Y25bIN2O3YtIYHLk963OEZj0yDJk3RuGYlrFo0mwfsDI1NYfZ/GS77aVNNUMmmrasHFTU1SEhICq8j2aOAXS5ExcbjgZcvxrSqKgzW5dSuy8+x98oLfPYLRWRsvEgZLKMiJwUjDUXMP3IbgWFRPMBloiXaTt3aWIOXe7Jgk30FA1QyUkeZ/8vDsnJwfCvExgvaqmdFS1mwGGRGXn8LRGRMPFrXMBe5vm0tc5GA3YefwfjkH4oJbWsgITElU0VWShzVymrj7tsf2Y7j+suvWHXyIX/M4IiUDlDe6oJjRQjJXfOKnKzPl98aO9THy8d3UZitXb4YoWGCbGnWFZcQQgj5E6mbV8ipFvwc/DcqNevFL8VVy5l7kBAXzf/NSqdJwYuOisKj+3cwbOxkkdLOnGCVHAd3b8PXzx8RFRkpvP7jey/+kwWxDIxMsHTedJ6RV7OOPYxMRBNgKtnYwu3QPqioqqNug4YoX8maV6tkZ6fzcV4imh22hlt22BiTg3UMC6w5ODbj5b7JwsPCsGHlYpw/dQy+P74hPj4lxvDpw/tMA3aeD+/zfSUH6xgdPX3Y1rDLNkPwwZ2bfLvkYB3Djk3L9p2xbtkCfsxl/m8wQfIGBexygWWZsZLN1OvO5cT2i08x8+BNjG1Vja/lJi8twUtUHeccQcz/gTSWGs5aybO17ljQLigihgfwRrawRW8HwToSi3vXh4aSLA5ee4UFLnegLCeFLnUtMa2jXZYBxHK6Kn9dEvszRPAfnrpCyomd0e+BYYIJb/jWi/ySFntOWXn2yZ+XrLaqURZDm1rz/bOGFGN3XEZMvOjaFIQQFFjziuKorJmggx0hhBDyN/5F8wqSN/5kTUCSv0JDgnl5aup153Jiz7YNWDB9IoaPn8qzzeQVFPh+2jaug9jYGOHf3AeOn8eaJfOwdO50BAf94sGxIaMnoFsfQan+3KVroa6hBZcDu7F8/gwoKaugQ7demDB9XpYBRNbcIa9KYlXV0zdGUVPXhN9PH+HvE0cMwOMHd3kJqrlFeUjLSOPZ44e8FDU2NvPAIdsH21dG+w/w/5nluEJYozej9J+X1TU0+XNn2XcUsMtbFLDLBUVZSZQuVQo/g1Ki9Tlx/K4XOtexEGls8MkvJMNgFisHZW/2l18DsePiM4zfdQWG6gqoX9EQclISmNm5Nr98CwzDqQfePLgnJS7G17XLz5JYLSVZ4Xp8ZXWUhdez31NjmYLM7C51UMcqfZtmVo6alTMPvaGnKo+tw1LavDMsgMnWAUy7n9j4BEiKp7yNU2fkEUIIIYQQQggpOhSVlHmTMbZeWm6cPuqCdl168HXfkn359CHddixAt2rLHv439+uXz7Bv+yZMGzuMZ42xpg6ycnKYPHshv3z/+oVnsC2dOw2SklJ8Xbt/URL7KyAg3XWsAUZydl5MTAwunTuF5Rt28Oec7M3L59k+PtsH21dG+8+OkrIy/P18010f4O/Hg6FsDUGStyhglwsykuKoUU4HLrffYGzrasJmEdmJjktIl7126PrrTLdnb/aKhupY0L0ub8rw5vsvHrBLTV9NAcOb2cDt9lt+e36XxLJmD6ys9eR9L9hZ6IoEI1Mz01bmQT+vH794dmBuRcXFo0yaY8U6xvoERYhk57Hnz7z+9ot3q2XiExJx5UX2/0lKiJURZjYSklsOTVvByMAgR00RigMxeTXs3Lw+R00bUmMfgsZPnQEXt+Pw8w9Az66d8/yYff7yFWYVbASdXusK1tZcu3ELf31at2yWp49FCCGk6HGZ2AoKmgbC7qvk746T+4oRCPP7mmmTh9x6ddEZ951XIczvG++EyxpmxMdG4/La8fj8yIM3u6jZYyLsek6ml64EYaWaVWvWxrEjB3m2XHKziOxER0dBTEzQfTSZy4E9Wf7NXb5iFcxYsAJH9u/GuzcvRbqwMqy76sARY3HC9RDevXn1z0piWUnvy2eewrJYViZ85cI54fhYowi2Rp+YuLjIZ2/Xg3uz3bdt9Zp8X2yfyWWxrMMu65prU71WlvetYVcPu7eu54FMdmwYNo4zx11RsYoNZdflAwrY5dLcrnV4l9imc10wtKkNtFVk8fFnCG8YkdyMIS2HSobY6v4EFnqqMNdRwZXnX3De86PINq++BmDa/htoU7MsTDSVkJj0G843XkO8TGnUsRI0tXCac4R3XrXUV4WspATuvP2OV18D0aN++SzH/LedVZOzC4c1tcGKE/d54NK+vKBL7ME0gUf2H9/S3vXRc/UZHhRrXaMsL931D43CQy9fGGooYLCTdaaPwxpMbHV/iqn7rqGpjQne+QRh9cmHvGNsaixIZ6yhiHE7PTCpXU3+H9TOy8940C475roquPPmOy4/+8wbiLBAZdr9E0L+zolTZ7Fu41asXLIA1avaQkP97/8fyol1m7bCvk5tCtgRQgghOdRwxHKUEZf4p8crMtgfl9aMhaVDRziOXw9xKUHg4PmZ3Xh79SgcJ6yHko4J5NWyD26Q4mf6/KXo3KIh2jvWxYBhY6Cpo4vPH97jy8cPmDpvSYb3sW/oiF1b1sHc0gpm5pa44XERl86fFtmGZaDNnToOLdp25GvXsWATW69OXFwcterW59u0bVIHjZxawsKqAu++ev/2DX6/zj36Zjlmi/KCZazygrqmFob16SrsErttwypebjpi/FR+u4KiIqyr1cDy+TN5NqK0tAyc9+3kmW7ZGTFhGs6ecEOv9s0wYMRYYZfYjMpk0+o/bDTcnPehR1snPjbW5GLfjs345O3Fu8SSvEcBu1yyMdXCmZkdsdjtLibvvcobK7CMsr4NK2V6H9aAITQqFiuOP+DrsLEMNddJbWA7LiXir6Eoy0tBN59/At+gCF7yaamvBucJrXi2HVPLQhcn77/H2tOPkJT0mwe/FvW0R//GlfEvTGxbg6/ht//qS2y/8JQfi4PjW6L25AMi2zWuYozTMzpg1ckHGL1dsPachqIM78razk60aUVGwc3Fvez5cWCPw4Kcm4c6YuWJByLbsYzF/eNaYtKeqxiyyR1KcpIY7GiN6mXjeGOOrMzsVBuT9l7FwA3nER4dx59X6nJlQsjfe+MlyL4dOXQQ/yBBCCGEkMJJ1bDcP3/MEJ9PSEpMgGWjjtCtkPI5/NdXL978waphp38+JlJ4VLapBrfz17By4RzMmjgK8QnxvGS1R99Bmd5n9KQZPKi1btlCvmYdywbbd/Qs6lYxFwmEsQYLOzetha/Pd17mWs6qAg82sWw7pnqtujh7whVb1ixDYlIiDAyNMXvxKvQaOAz/iomZOfoOHoHlC2bh2+ePMDYti52HT8KsnKVwm3U7DmDGuBGYPGoQpKSk0bxNB3TrPQD9urTOct+mZcthj+sZLJw5CSP7dYOmti5fw8/z4T2eOZcVTW0duJ6/hiVzpmHG+BGIjYuFVcXK/PixDrEk75X6nZOVEYsBNzc3dOzYER+3DRFZC42QPxUWFQuTQVvg6uqKDh06FNkDKScnh/mzpmHUsMEFPZRC4enzF5i7cClu3b2H6OgYGBsaYGC/3sLjk7Yk9tv3H5i3aBlu3L6DHz6+UFdTRR27mlgyf45Id1av996YOmse7tx7gLDwcJ5xxjLPWCcrtvhsREQEps9ZgFNnz/MSUkUFBVSsYIV1K5bColz+L17NFuWdu2gpdu7Zj9CwcFSztcb6VctQuXqddCWx127ewoIlK/Dw8RP+O3u+yxfNg5WF4AO/aXlrfPn6TWT/rGyVZb5NmTkXl69cw8fPnyEpIcmf4/xZ01GzelXhtnsPOKP/0JFICA8U2Qcb376Dh/Hh1ZMMS2IzetyZUydi9rSSW0rDMg5nzlvE31+EEJKWXe06CJM14NlMRZH/hxe4u28pvr+8h4S4GChqGaBSs96waTs4w1LPcP8fuHNgGb4/v4OIX76QUVTlwaK6A+ZAXi1lzg7+7o0bO+fB59UDxEWFQ0ZJDVoWtmg+dRtKlxHjHWBv7VqAD3fPIyokABIyClA3toLD8KVQMcj/OZs9L6ZKq4G4s3cRQn9+gbKeGewHzoOhrSBLiPn+4i4eH92En15PEBMeAgUNPZSt0xI1uo2DuKR0liWxX5/exI3ts/DrixcvV63WcQR83jzKUUls0Lf3uLlzHr4/v42E+Diom5RHrR6TYFytobC09vWlwyL3YaWv9w4sT7ev/ns9+etalFxYMRIKkV9x5/YtlBQrVqzAgoUL8exT+rXXSO6wzELmyBkPOnQ5VNlYHTOmT8eECRNQ3FCGHSGE/O/BI080bNYa5mamWL10EXR0tPDOyxufPmf+bZN/QAAUFRWwZN5sqKqqwMfXF6vWbUS9xs3w6vFd4bobrTp2hZKSEjauWS7YzscX5y9e5oEyZvyUGTh97gIWzJ4OM1MTBAUF86BhSGholq8PS+XPi45U85csx6JlqzBu1HA0bGCPR55P0LZzyiK2yc66X0S7Lj3RspkTDuzcwrN9l65ai/pNWuDJvRs8SOl2aC82b9uJXfsO4paHO78fC+ax5+rn74/xo4dDR0cbERGROODsggZOLfHgpgcqlrfC32CP27J9F1hXroTpkwUTtp4uldIQQkhx5PvWE66TWkNZ1xQNhi6CnJoWgr558+BVZqJCAyAlq4B6A2ZDWlEFEYG+eOS2EUfGNUOfHXchJiGYs4/P7ApJOSU0HLlcuN2nh5fxm83ZZYBrW2bg470LqN13OpR1TRAdFgyfl/cQE5n1nJ2UyJZuyX7OZkHB7LCg4s0dc1Cr52RIysrj0dFNODG7G3psugZVA0FGUdjPr9C2sEVFpx4Ql5bFry/vcO/gCoT6fkLzaTuyDLgdn9EZWuY2aD5tOxLjYnH3wDLERUdCSSfrxfJZIPTI+BY8iOkwYikkZOTx9NROnJjVFW3mOfOgXc1u46FVzgZXNkyCw4hl0DCrxEtfjao2xP1DK+Dv/RwtZ+3j+5NVyb5MjxBCiqsSE7Bja6sxrKSTkLyQ/F5Kfm+Rom/S9Fk8Q+6Wx3lI/9+23cG+Xpb3sbWuwi+pA2h2NWvAxKoK3C96oE2r5ggM/AXvD59w/PB+tGzeVLht104pmZn3HjxC107t0a93SpCM3Tc75pWqpssqy4j3S08YGWb8DXVISChWr9+EoQP7YemCOfy6Jg0bQKyMGKbNniey7bjJ0+FQvx4PjiWzr1ubj2PNhs08044FzHT/D5Slzpxj9mzbJHKsnBo3RMWqdti19wBWL1uEv8EeV1JSEupqaukelxBCSPHCsr+kFVXRZc15YbaYQZWs52zNslX4JXUATad8DezoWQWfHnqgbO3mvNEBK9dsPWc/TGulzNmWDilztu+bR7BwaM8DYcnYfbOzq29V3mAhOznJKosM8kf3DR7QLCtYGsfA2h47etng/qGVaDZlK7/OqnFn4fbsyz2WTcgCaO4rhvNAmbSCSob7vndoJQ+4tVvkIlxbTseqOnb2rZptwO7x0c2IjQhFt3UXoaglWJTeuFpj7B1khzv7FvOAnZKOMVQDfvDbWHBRx1IwZ8ur60BaUQ1lxCWF15Gigf09lPwlNCH/WlJSUrH9m7zEBOwUFARdRX+FR0NJNmedZgjJCnsvMYqKKd1rSdEVFRXFy1Unjx8jDNbl1JYdu7Bt5158+PQZkZGRwuvfvffmP1lGnYmxEabNng//gEAe4GJZdKlVtbHGvkOHebCpkYM9Dz6VKVMm28c+4XIQsbHZd6TS0dbK9LYXr17zbLcObUXXvOjcoa1IwO699wd8+PgJMyZPQEJCgvB6OTlZ1KpRDTfv3M12HJevXsfi5avw4uVrBAUHC683/v9YEUIIIdmJj4mCz+sHqN55jEhpZ048O70Lz87uRajvZ8THRIpkrDFSCipQ1DbCzV3zERUSCL1KtXkWXWpa5tZ4dfEwZBTVYGBjDw3TSiidgzm79dyDSIzPfs5ma7hlh40xOVjHsMCaSY0m+P7ijvC62Mhw3oX1/a3TCA/4gaSE+JTn++NjpgE7FpBk+0oO1jHyGro8aJddhiArw9UpX10YrGPYsSlXvx3P7mPHXFxKNtvnR4re39oR4eGIiYnJcVdXkjEqhc2dmJgY/t4rrn+Tl5iAXbVq1SAuLgaPZ19gqqVc0MMhxcDlp58hISHO31uk6AsOCeXfzujppqxhkxMbtmzHhKkzMXXiWNSuVROKCvK8TLS2gyNiYmP4NuwbH/eTbpi3eBkP2v0KCuIBvIljRvL18Zi1KxZDU1MDu/cfxIy5C6CirIxe3bvw9QWzCiCyUtO/LYn1/fmT/9TUEDS4SZb2dxZsZPoOHs4vabHnlBXPp894yWqHtq0wZsRQaKiro0yZ0hg8YiyfbAkhhJCciIkI5eWpbG213Hhycjuub52J6l3HQrd8TV5KyuZQ59GOfA285Dm7/WI33N2/jAftYsKCeHCsWqeRfH08psHwxZBR0cAL94O4tXsBpOSVUb5xF9j1mZZlAFHVoFyelcSydfXSXaesjohfgjmdubByJHzfPEDNbhOgamQBMUlp/Hz3hJeiJv7/fDPC9sH2lZassjrv7poVtlZeRll4ssoaLM0PMRFhFLArhurUqcPPpZtXLqFxs5YFPRxSgty4cpG/99h7sDgqMQE7tnaUk6MT1p+7gcZVjGCsqVTQQyJF2Ce/EGw4/xSOTRyLbTS/pFFWUuTdTH/4pHzQzYkjbsfRs2tnkcYGLAsto2AWKwdlE8qzFy+xaesODB09HkZGhmjsUJ83/1g0dya/sBLXoydO8eAe+5aSrWuXnyWx2lqCb/JZs4ty5imLZbPfU1NVEXwTv2T+bNSvl35SZOWoWTl28gwM9PWwf6egVCcZC2CydQCTSUkJ9sMyB1Pvk63rRwghhEjJKaJU6dIiwamceHftOCwbdYZdz5Q5m5W/pqWkbYSmkwRzdsDHl3h6agcurx0PRU1D3tRBQloOdfvN5BdW4up18xRu7ZqPMhJSqNN3+j8piWXZf+muCw4QZuexACRriuE4fj2sGqV0XA34+Crbx2f7YPtKKzKD69KSkldCZJBfBvf1Z9FQSMmlzPek+LC0tETFihWxcuEs2NaoBRXV9AFlQvJa0K9ArFo4m7/3LCwsiuUBLjEBO2bL1q2ob18PDWcdQXMbY9S00IWMpDiKZ7UzyWvs+9Co2Hjce/sDZz0/8RbY7D1FigcZGRnUrlUDBw+7YNrEsTlO54+OjubZu6nt3n8o0+3ZN/dVKlXEisULeFOGV6/f8IBdaoYG+rz5g7OLG789v0tiWbMHVtbqdvwk6tWxEwlGplbO3IwH/d689cKEMSORW1HRURBLUzJ06co1fP/hI5KdZ6CvLyzVZaXCTHx8PC5evpLtY0hKSAgzGwkhhBRPrFSTrT33xsMFNbqOFTaLyE58bDTKpMlee3kh6zlbw7Qi7ActwEv3gwj88kakCyujoKmPqh2G4+1VN/z6/OaflcSykl6/98+EZbGsTPjj/YvC8SXGx+F3UiJKp8qwZwHIVxeds923jlU1vi+2z+SyWNZhl5Uhs9uyolfJDk9ObOOBSXZsktcK9Lp+go+VymGLL2dnZzg4OKBJrcpo1ro9KlrbQkpKutiuLUYKxm+WqRsTjRdPHuPcyaMoXQq4ciX7vxGKqhIVsNPR0cGNm7ewYcMGuLocgfPNywU9JFIEmZc1w8gx4zFixAho/Z+ZRIqHZQvnwqFpa9Rt1JSXbLJOpt7eH+H98ZOwGUNaTRo5YN2mrbCytIBFOXMeVDp99rzINs9fvsLYSdPQqX0bmJqY8GYL+w46Q1xcXJipVtvBiXderVDekgfPbty6g2cvXqFvr/SdWlP7286qjJKSIsaOHIYFS1bwwCXvEvv4CS/PTY194Fq3cinvEsuCYh3atIaKqjL8/Pxx9/5DGBsZYtSwwZk+jmOjhli3cSvGTJzKm2+8efsOi5ev5p1lU6tmaw1TE2MMGTkOs6dN4iXGm7bvRFx8yto7mWGvATt2rAMvayDCApU62rkrmSKEEFL42Q+cC5eJrXF4bFPYtBsKOVVthPh85Blz9QZkPGcbVXWA5/GtvDxURd8cnx9f4VloqbEMtKubp6GcfRso6ZjwoNerS84oLSYO/cqCOdt5jBNMazpBzciSd19l68ax+1VwzHrOVjf++zk7mayKBs4s7I9aPSdBUlaBd7uNjQxFja7j+O3sOm3Lqri9eyFKlSrNS3VfnN/Pm1Vkh+3D68ZJHJvWCbYdhgm7xMoopS+TTcu23RC8vnQYblPaCTrYsi6xp3ch+McH3iWWFF/ly5fH7du3sWnTJri5uWHfjs0FPSRSjOnr66Nnj+4YNmwYzMzMUFyVqIAdwwIsCxYs4BeWscGyYwjJKbaWGAuykOKpmq0Nrl88g9nzF2Pk+MmIj0+AsaEBBg/om+l9Zk6ZgNDQUB7sYkGserXtcO6EK8pWtBVuo6WpAQM9PaxZvxnffXx5yWcFK0uccnPm2XZM3dq1eIbbstVrkZiYBBMjQ941ddig/v/kuc+cMpGv4bdj936+Ll/1qjY8e69Stdoi2zVzbIyr7qd544iBI0YjOjqGPz/WlbVzh3ZZPoZjIwesWb6Yd5PdsWc/KlhZYO+OzVi0bGW69faOHd6PkeMmoUf/IVBRVuKBwLCa1bHv4OEsH2PhnJkYOX4SuvcdiLCwcMycOlGkXJkQQkjxoFXOBp1XnuGdR69smIykxAQoahqgUovM5+ya3SfwDqas+QErGdWraIf2i1yxs7etSCBMQUMPj49tRkSgL+9YqmZsibbznHm2HaNboRbe3TiJB0fW8rX0FLUNUX/IIlRp9W/mbEZZzwzWrQfh9p6FCP35BUq6pmgz7xDvupqs2ZRt8Fg/ERdXj4aYhDTM67VGxWa9cGJWtyz3raJfFm0XHMaN7bNxdtEAHgxla/j5vHmEML+vWd6Xbctel5s75/HHZpl+6qYVeLCOdYglxRsLnKxatYpfWAVITqpACMktSUnJbJfiKS5K/c7JauWEkGKLrZ3GGhtklRlFCCmaWPbnzHmLEBERUdBDIYQUQna16yBM1gCOE9YX9FBILrhMbMV/dlp+io5bIXRhxUgoRH7Fndu3CnoohJAirnRBD4AQQgghhBBCCCGEEJKCAnaEEL54JyGk+KFzmxCS7f8TvK0WISTP5l46pwgheaTErWFHCEm/Ll9UFK3lSEhxFBkVxRuJEEJIRmSkpfErhj4DFDVUClu4se66sjT3EkLyAGXYEVLCWVlZ4c69+wU9DEJIPrhz7wEsLS3p2BJCMlS+vBV+vn3IGycQQv4eO5f83jyElRXNvYSQv0cBO0JKuA4dOuDy1et48ep1QQ+FEJKH2DntcfU6OnbsSMeVEJLpZ4CwAB943ThJR4iQPMDOpbBAX5p7CSF5grrEElLChYSEwMHBAd++fcWU8WPQoqkjtLU0UaZMmYIeGiEklxITE+H70w9nzl/AkpVroK9vgCtXrkBJSYmOJSEknaSkJHTs2AknT51C1U6jYF6nJRS1DVFaTJyOFiE5lJQQj1DfL/C6dRqPXNahdatWcHV1QenSlBtDCPk7FLAjhCAoKAgDBw7EmTNnEBcXR0eEkCJOQkICLVq0wPbt26GiolLQwyGEFGLx8fEYO3Ys9u0/gPCw0IIeDiFFlryCInr17IHVq1dDXJyC3oSQv0cBO0KIUFhYGO7cuYPg4GD+rTvJvfDwcMycOROysrKYNWsWJCUl6TDmQGxsLObNm4fIyEjMnz8f8vLydNz+APs2X1lZGXZ2dlBQUKBjSAjJ1f/D7DOAn58fz9YtaWj+/jM0f4NXpWhqavK5lz73EULyEgXsCCEkjyQkJMDR0REvXrzAo0ePYGBgQMc2F758+YKqVauicuXKcHd3h5gYNTInhBCS/2j+/js0fxNCSP6gwnpCCMkjkyZNwvXr1+Hq6krBuj9gaGjIj921a9cwefJkel8SQgj5J2j+/js0fxNCSP6ggB0hhOSB/fv38zVL1qxZA3t7ezqmf6h+/fr8OK5atQoHDhyg40gIISRf0fydN2j+JoSQvEclsYQQ8pdY+WudOnXQrVs37Ny5E6VKlaJj+hd+//6Nfv364fDhw7h16xZsbW3peBJCCMlzNH/nLZq/CSEkb1HAjhBC/gJbnJutu6ajo8PLYaWkpOh45oGYmBjUq1cPvr6+/A8qtpgzIYQQkldo/s4fNH8TQkjeoZJYQgj5Q3FxcejQoQPi4+Nx7NgxCtblIRb4ZMeUHduOHTvyn4QQQkheoPk7/9D8TQgheYcCdoQQ8ofGjh2L+/fv4+jRo9DV1aXjmMf09PT4sb137x4/1oQQQkheoPk7f9H8TQgheYMCdoQQ8gd27NiBTZs2YcOGDahduzYdw3zCju369euxceNGvj4gIYQQ8jdo/v43aP4mhJC/R2vYEUJILt29e5d3Q+vbty+2bNlCx+8fGDJkCHbv3s3XCaxZsyYdc0IIIblG8/e/R/M3IYT8OQrYEUJILvj4+PAmEyYmJrhy5QokJCTo+P2j9YYcHBzw8eNHPH78GNra2nTcCSGE5BjN3wWD5m9CCPlzFLAjhJAcio2N5Zl13759451LtbS06Nj9Qz9//oStrS0MDAxw7do1SEpK0vEnhBCSLZq/CxbN34QQ8mdoDTtCCMmB379/Y9iwYXjy5AmOHz9OwboCwAKk7Nh7enpi+PDh/DUhhBBCskLzd8Gj+ZsQQv4MBewIISQHNm/ejF27dvE166pVq0bHrIBUr16dvwasAQWtH0gIISQ7NH8XDjR/E0JI7lFJLCGEZOPGjRto2LAhz7Bbu3YtHa9CYNSoUfyPMLaOYN26dQt6OIQQQgohmr8LH5q/CSEk5yhgRwghWWDr1bF108qXL4+LFy9CXFycjlchEB8fj8aNG+PNmzd8PUF9ff2CHhIhhJBChObvwonmb0IIyTkK2BFCSCaio6N59lZgYCAePnwIdXV1OlaFSEBAAO/Yy16XmzdvQlpauqCHRAghpBCg+btwo/mbEEJyhtawI4SQTBapHjRoEF6/fs0bHVCwrvBhr8mJEyf4azRkyBBqQkEIIYTm7yKA5m9CCMkZCtgRQkgG2Fp1Bw4c4M0NrK2t6RgVUuy12bFjB/bt24d169YV9HAIIYQUMJq/iwaavwkhJHtUEksIIWl4eHjA0dER48aNw7Jly+j4FAETJ07E6tWrceHCBd4ghBBCSMlD83fRQ/M3IYRkjgJ2hBCSyqdPn/i6aOxy7tw5lClTho5PEZCQkIBmzZrB09OTrzdobGxc0EMihBDyD9H8XTTR/E0IIZmjgB0hhPwvMjISdnZ2iIiI4EEfFRUVOjZFSFBQEKpVqwZ5eXncvn0bsrKyBT0kQggh/wDN30Ubzd+EEJIxWsOOEEL+bzLRr18/fPjwgTcyoGBd0cNeM/bavX//Hv3796cmFIQQUgLQ/F300fxNCCEZo4AdIYQAfK06FxcX7N27FxUrVqRjUkSx1469hkeOHMHy5csLejiEEELyGc3fxQPN34QQkh6VxBJCSjx3d3e+/tn06dMxf/78En88ioMZM2Zg0aJFfB1CJyengh4OIYSQfEDzd/FD8zchhKSggB0hpERj5ZPVq1dHnTp1cPLkSZQuTYnHxUFiYiJat27N17Jj6xGamZkV9JAIIYTkIZq/iyeavwkhJAUF7AghJVZ4eDhq1qzJPxzev38fioqKBT0kkodCQkJQo0YNiImJ4d69e7wZBSGEkKKP5u/ijeZvQggRoFQSQkiJlJSUhF69euHbt2+8UQEF64ofJSUl/tqy15i91uw1J4QQUrTR/F380fxNCCECFLAjhJRICxYs4MGcgwcPwsLCoqCHQ/KJpaUlDhw4wF/rhQsX0nEmhJAijubvkoHmb0IIoYAdIaQEOnXqFGbPno158+ahZcuWBT0cks9atWqFuXPnYtasWfy1J4QQUjTR/F2y0PxNCCnpaA07QkiJ8ubNG76uWaNGjeDm5kZNJkpQCVX79u3h4eGBBw8eUFYlIYQUMTR/l0w0fxNCSjIK2BFCStQixqwjrISEBO7evUtNCEroIuUJCQk8aEfrFhJCSNFA83fJRvM3IaSkojXsCCElAusE2717dwQEBPD1zKhjaMnDXvOTJ0/C39+fvxeoCQUhhBR+NH8Tmr8JISUVBewIISUCW7PO3d0dhw8fhpmZWUEPhxQQ9to7Ozvj3Llz/D1BCCGkcKP5mzA0fxNCSiIK2BFCij22Vh3rELp48WI4OjoW9HBIAXNycuLvBdZp8OjRowU9HEIIIZmg+ZukRvM3IaSkoTXsCCHF2vPnz1GrVi3eDZZlVpUqVaqgh0QKgd+/f6NLly44e/YsX8+wYsWKBT0kQgghqdD8TTJC8zchpCShgB0hpNgKCgpC1apVoaCggNu3b0NWVragh0QKkcjISNjZ2SEiIgIPHz6EiopKQQ+JEEIIzd8kGzR/E0JKCiqJJYQUS6wTKMugCgsL400mKFhH0mLvCfbeYN0H2XuFvWcIIYQULJq/SXZo/iaElBQUsCOEFEtTp07FlStX4OLiAiMjo4IeDimkjI2N+XuEvVemTZtW0MMhhJASj+ZvkhM0fxNCSgIK2BFCip1Dhw5hxYoVWLlyJRwcHAp6OKSQa9iwIX+/LF++nK9zSAghpGDQ/E1yg+ZvQkhxR2vYEUKKFU9PT9SuXRudOnXCnj17qMkEyfEi1r179+YdCdl6h9bW1nTkCCHkH6L5m/wJmr8JIcUZBewIIcVGQEAAbzKhoaGBGzduQFpauqCHRIqQ6Oho1K1bl7+PHj16BHV19YIeEiGElAg0f5O/QfM3IaS4opJYQkixEB8fj44dOyImJgbHjh2jYB3JNRbgPX78OP/gzzI02XuKEEJI/qL5m/wtmr8JIcUVBewIIcXC+PHjeSkjK2nU19cv6OGQIoq9d9h76NatW5gwYUJBD4cQQoo9mr9JXqD5mxBSHFHAjhBS5O3evRvr16/HunXreEkjIX+jXr16WLt2LX8/sXUQCSGE5A+av0leovmbEFLc0Bp2hJAi7f79+/wDWq9evbBt2zZqMkHybBHrgQMH4sCBA3w9xOrVq9ORJYSQPETzN8kPNH8TQooTCtgRQoqsnz9/wtbWFoaGhrh69SokJSULekikGImNjUX9+vXx7ds33oRCS0uroIdECCHFAs3fJD/R/E0IKS6oJJYQUiTFxcWhffv2/JvUo0ePUrCO5DkWAGbvraSkJHTo0IG/5wghhPwdmr9JfqP5mxBSXFDAjhBSJI0aNYpnPbGOsNra2gU9HFJM6ejo8PfYw4cPMXr06IIeDiGEFHk0f5N/geZvQkhxQAE7QkiRs3XrVn7ZvHkzatasWdDDIcUce49t3LgRW7Zs4eskEkII+TM0f5N/ieZvQkhRR2vYEUKKlFu3bsHBwQGDBg3Chg0bCno4pAQZPnw4tm/fztdLrF27dkEPhxBCihSav0lBofmbEFJUUcCOEFJkfP/+HVWrVkW5cuVw+fJliIuLF/SQSAlbd6lRo0bw8vLC48ePoaurW9BDIoSQIoHmb1KQaP4mhBRVFLAjhBQJMTExqFevHnx9fXmwRENDo6CHREogPz8/HjRma+Ncv34dUlJSBT0kQggp1Gj+JoUBzd+EkKKI1rAjhBR6rBPskCFD8OLFC5w4cYKCdaTAaGpq4vjx43j+/DmGDh3K35uEEEIyRvM3KSxo/iaEFEUUsCOEFHpsrbq9e/fy9cNsbW0LejikhGMZdqz5xJ49e3gzCkIIIRmj+ZsUJjR/E0KKGiqJJYQUateuXePrho0ePRorV64s6OEQIjRu3DisW7eOr6dYv359OjKEEJIKzd+ksKL5mxBSVFCGHSGk0AgICICjoyNCQkL471++fEHHjh15MGTp0qUFPTxCRCxbtgz29vb8Pfr161d+HXvvsvcwey8TQkhJQfM3KUpo/iaEFBUUsCOEFBosU+nixYuIj49HVFQU2rZtCzk5ORw5cgRiYmIFPTxCRLD3JHtvsvdomzZt+HuWdaJj72EPDw86WoSQEoPmb1KU0PxNCCkqKGBHCCk07t27B1NTU6ipqWHAgAF49+4dbzKhqqpa0EMjJEPsvcreo2/fvsXAgQOhrq4OExMT/l4mhJCSguZvUtTQ/E0IKQooZYUQUmjcv38fNWvW5GvVOTs78+ylypUrF/SwCMkSe4/u3r0bXbp0gY2NDX8Ps/cyIYSUFDR/k6KI5m9CSGFHGXaEkEIhNjYWT548gaKiIiZPnowpU6bw9cFmzJiBevXq8XJDQgoT9p5k782ZM2fydRbZ+3bSpElQUlKCp6cnf08TQkhxR/M3KWpo/iaEFBUUsCOEFAosWMfW/9q/fz9q166NwMBAGBoaYs2aNbCzs4O0tHRBD5EQEew9yd6bq1ev5u/VoKAg/t5l72H2Xn769CkdMUJIsUfzNylqaP4mhBQVFLAjhBQKN27c4D8TExNx69YtnD59GrNmzcK3b9+wZMkSlCpVqqCHSIgI9p5k703WIZa9V0+dOsXfu+w9nPo9TQghxRnN36SoofmbEFJUlPr9+/fvgh4EIYRUqlQJL168gLGxMaZNm4YePXpASkqKDgwpMmJiYnh23aJFi/D582f+nn727FlBD4sQQvIVzd+kqKP5mxBSWFHAjhBSKBw/fhw/fvzAsGHDULo0Jf+SoispKQmbNm2Cnp4e2rRpU9DDIYSQfEXzNykuaP4mhBQ2FLAjhBBCCCGEEEIIIaQQESvoARCSH+Lj4xEdHU0Hl+TLQsXi4uJ0ZAsQnd8kv9D5XfDo/Cb5hc7volWiypo3ESIhIUFL5JASjQJ2pNj4+fMnNmzYAFdXV3h5eRX0cEgxZm5ujo4dO2LEiBHQ0tIq6OGUrPPbxQVe798X9HBIMWZetiw6dupE53cBnN9HXFzh/Z7mb5J/zMqao3Mnmr8La7fhzZs34+jxEwgKDCjo4ZBCREVNHe3btsHQoUNhbW1d0MMh5J+iklhSLPj4+KB+/frw9/dHqzZtUat2HcjKyFJnUZKnWI+eyKhI3L19C6dOHIeGhgauXbsGHR0dOtL5fX7b28Pf7ydaOdRCLevykJWWpPOb5P35HR2Lu09e4dSVu9DQ1MK169fp/P4H53c9+/rw+emPsnWaQ79CTYhLybA2jvn90KQk+f0b8TFR+PbyHt7fOgsdLQ3cuE7zd2Fx/fp1ODVtBjF5VahXbwV5vXIoLS5Z0MMihUBSfCzCv79DwINTSAj/Bffz52Bvb1/QwyLkn6GAHSkWWrVqhceenrhw+RpMTE0LejikBPj44QMcG9WHrY0NTp06VdDDKdZatWyJxw/v4cLOpTDR1y7o4ZAS4OM3Xzj2nwzbajVx6vTpgh5OsdayZSvcvP8Y3VadhrKOcUEPh5QAwT6fcGhcS9StYYvTp2n+Lmis9FVTSxtiOlawGb8XZSRlCnpIpBBKjI2C58reSPB5zb/ApeVpSElBrRhJkRcSEgJ3d3eMHT+RgnXkn2GB4THjJuDChQsIDQ2lI5+f5/eFCxjbuz0F68g/wwLDY3q3w4WLF+n8zvfz2x3VO42kYB35Z1hguFrHEbhwkebvwsDDwwMhwUEo12MuBetIplggt1z3Ofy9wt4zhJQUFLAjRd7Dhw/5ItVNHJsW9FBICePo1Ix/M8zegySfz+86VekQk3/KsU41Or//wfmdEB8P0+qN8vuhCBFhVqMx4mn+LhRu3boFWVUtyOtbFvRQSCEnb2DF3yvsPUNISUFNJ0iRFxYWxn+qqqmhqDl98gS+fPmMEaPGoKR69fIltmxajyeennj18gX/AzkyLinH9w8ODsa0yRNw5tRJ3lWsRi07LF2+CuUrVEB+S37PUYbdPzi/lRVQWJy+cgdffPwxokcblGSvvb9g8vJtuPf0NaQkJdC8fk0snjAAygry2d73+oNnmL9xP5688Ya0pAQc61bDovEDoKmqnG7bB8/fYuHmg3j44i3i4xNgrK+NKYO6ol2Tuvz27z8DMH7JZjx7+wEBQaGQlZaClZkhxvXriCa1/zzQm/yeo/M7/89vaUVVFBbvbp1FqN9XVG8/FCVZwOc3uLxpOr6/egAxcUmUrd0UDYcsgLS8Urb3/fr8Lm7uWwr/Dy+RlBgPVQNz1Ow8ChZ1W4psFx0egitbZsLr9jkkxMdC16oaGg1bCA1jK+E2p5cOx4uLzhk+jop+WQzZc/+Pnl/ye47O78Lx/4CEvMo/WZfW79F5RAV8g3HTQSjJ2Jpwb/bPQsj7hygtLgUNW0dYdp8Ncdmsz+/Alzfw4eQ6RPzwQnxkKCTkVaFsXg1l24+HnK65cLv7C9oh6M3dDPehVqk+qk1OOafDv76Bl+tShHzwRGJMJGQ0jWHQuDcMHHqmuy97j7D3Cp23pCShDDtSLBYKZ0qXLnpv59OnTmLj+rUoyZ54PsYF9/PQ1dWDbdVquX7tO7ZthSsel7Fq7QYcPOLGvzFv1sQBvr6+yG/J77nk9yDJx/O7VOE5v09fvYeNB0+gJPP1/4WmAyYjLj4eB1dNx6qpw3Dl3hN0GjUv2/PhtudLtBo6A8qK8ji4cjqWTRrMr2s+cBpi4+JFtnW/8QBN+k6Clpoydi+ZhCNrZ6F32yaIiY0TbhMZHcODhLOG98KxDXOxac5oHrRrN3w2zl6798fPMfk9R+d3/kk+tqUK0fnNgkcPj25BSRYe6IsD41ohIT4O7WbvQZNRy/Dp8TW4zuiW7fng9+ElnCe1439Yt5i4AW1n7oKipj6Oze2D93cvCLdj+3Gd0RWfPK/x/bPHSUyIx8HxrRHx66dwuzo9J6D3+gsil9bTt/PbzGs5/fFzTH7P0fld8Phr8I/+D/B75I4v7oL3T0kVE/yTB9SSEuJgPXoHrPoswq8XN/B4Ze9sz4f48GAoGlWEVe9FqDbFGeU6T0XE97e4O6clon/5CLez6rMYNeecEblY9JjDb9OwcUwZS5Av7i9sj5ggH5Tvswg243ZDxaIGXu2chC8Xd2c8iFKl6bwlJQpl2BFSRMTGxkJSsvh1zOrWoyd69OrN/71w3hzcvXM7x/c9e/oU3/7ileuoXUeQbVOjZi2UNzfBmlXLeaYdIQWJBaAkJcSL3Yuweu9RJCYmwWXtbCjKy/LrtDVU4NhvMs5dv8+z7TKzaMshmOhp4/DqGShTpgy/zsJEH3W7jcHe4xcwqHMLfl14ZBQGz1qNgZ2bY/mkwcL7O9S0FtlfOWN9bJk3VuQ6p7rVYdWsL/afuJTlWAj5GwlxsRCTKH7z8j2X9fidlIiO8w9BSk6QaSqvpo0DY1vg/V13mNtlvgTJm6vHebCu4/yDgm6/AIxtG8DnzWO88nBF2VqCP9bf3zmP7y/vo8fqszCoVItfp2tVHZt6VMG9I+t5pl3yenNpm5Gw4CFT0bFLPh0BQoDE+FiUKYadaj+d2QQkJcF2/F6IywjObyklTR7E8/e8CE3blIBaWtq1WvNLaoqm1rg5sS78Hp6FkdNAfh3r8pvW96sHUUpMQuT+/k8vIz4iGHbzz0NGw5Bfp1ahHsK+vITP7aMwbNI3z543IUVV4flKk5Ai4vmzZ+jYtjV01JWhqiCDRvXrpgsyDerfF5ZljeH5+BEc6tWGmqIsbCpa4Zibq8g2B/fvxdcvXyArUZpfnBo14Lft37eH/872261TB2irKQlvY5ljA/r2hoG2OlTkpVHDtgqcDx4Qefzk+9++dRPtWreAupIcDHU1MWv6VCQmJvJtfv78CSVZyQwz/KZNmQhdDRVER0cjv/1NZuTZM6egb2AgDNYxioqKaNq8JQ/mEZLs+buP6DhqLnTqdIRq9TZo1HsC7j55JXKABs1cBcumfeD5ygsOvcZDrUZb2LQZjGMXb4psc/DUZXz18Yds5Wb84tR/Mr9t/8lL/He2327jFkC7dgfhbb4BQRgwfQUM7LtApVpr1Og4HM5nrog8fvL9WbZZuxGzoV6jLQzrd8WstbtTztvAICjZtsoww2/aqp3QrdMJ0TGx+f7Cn7t2D03tawiDdUwd24rQ11bHmatZZ7U9fP6WB92Sg3WMTXlzqCop4NSVO8Lrjl28hcDgUIzu1S7X4xMTKwMFOVn+kxR/LKuLZX+tbGWEZU11sG90U3x7Kfo+ZKWVG7tVhu+7J9g70hHLmulia98aeHP9RLryy1C/b1jUUIVfDowTlHE+dz/Ef2f7PTqnF1a2MsTB/29jGWGnlgzF6rZmWOqkjR0D6+LlJReRx0++PysXPTKtM5Y318Oa9ua4umMekv4/vyOC/LDEURMPMsjw89g6C6taGyM+Nv/n5fd33FG2ppMwWMcYVLKDgoYe3t8+l+V9ExPiUFpMDGISUsLrSpUuDXFpWSQlJaZ6jPN8f8nBOoY9Hntcrzvns3yMF5eOQMu8CtSNaM2zkiDsyyue/XVpYDlc6GOMe3NbIfjdA5Ftnm8ZjWujqyH041Oe7XWhrzFuTKwL3/unRbb5cdMF0YHfcb67Nr+wIBXz/foR/jvbr+ea/rg0wBwPFrTnt8UE++HZ5pG4PNgKF/oY4dbUhvhxy03k8ZPvH/T2Hh4t74GL/UzgMbQC3h1eyIPfTGyIP9x7GeBzBhl+bw/Nw6WBFkiMy//z28/zIjRsGguDdYyKZS1IqerC/3FKFmxOScgLlrIoVVosyw6v7LXQsG4MCbmUpS9+Jwiy6sWk5US2F5NWEB43Qko6CtgRkgtPnniioX1thIaGYOOW7Th42BUKiopo7tgIz54+Fdk2NCQE/XsLsseOHD2BSlWs0adnN3i9e8dvnzJtBhybNoOmlhau3rzDL6vXbRTZR99e3VHW3ByHXI5i+qw5iIyMhFPD+rh00R1zFyyCs+sxWJWvgAF9e2HXjm3pxtu/T09UrFiJb9e7Tz+sWrGMZ7ExWlpaaNmqDXbv3CFyH7aG3MF9e9G1R09IS0tneixYACEhISHbS36Wm7x5/Zo//7Qsrazw+dOnfxJwJIUfWyetYa/xCA2PwMbZo3FwxTQoyMui+aBpfN2z1ELDI9F/2gr0aNUIR9bMRCULE/SZshRen7/z29naaWy9NU01ZVzdv4pfVk8bLrKPvlOXoayRHg6tmoHpQ3sgMioGTv0m4dLtx5g7qg+cV8/ga6yxAN4ut/R/mPafthwVzY3hvHomL/9ctduNr+HGaKmpoKVDTew+KvqhmpemnrqEri0dIC0lmc15m/0lq/OWBQQ///DjzyEtS1NDvP34FVkpU6Y0xMXTf7CXEBfn6+IlY4FPFUV5vHz/GVXbDYWCTQuYN+mFRVsOCgOYqSUlJfGxs6Dm4i2H4P3lBwZ0bJblWEjR99PrGfaNckJMRCiajV/LSyslZRVwaEJb+Hm/ENmWbXNy8RBUcuyKjvMOQNOsEk4sGIhf394Lyy9NazSGrIqmsPzScdRykX2cXDgIqnpl0W7OPtTtMwVx0ZE4MLYlPj70QP0BM9Fh7j6oG1vi1JIheHJmT7rxnlo8GJomFdB+7j5UbtoDdw+vxc19S/htciqaMK/dDE/P7RO5T2J8HJ5fcEaFxp0hLpn5vMwCf0mJCdlesjq/WUAw5OcXqBtbpLtN3cgCgV8En2EyU9GxKx/HpU3TeAAyKjQId53XIvjHR9i26i/cLuDLW36c0lIzsuCPn1lgkgVM2b4qNqHsupIg9NNz3Jvbkq+XVmHASliP3g4xGQU8WNwJYZ9fimwbHxWGZ5tGQLdeJ9iO2wMFw4p4tmEoIny8+e2mbcdCvUpDSCppCMs0Welmak83DoOstimsx+yEWfsJSIiJ4kG9wOdXUa7zNNiM2Qk5vXJ4vnkkvl7Zn2687PFZYwTrMbugZ98VH89sxPujK/ht7HE1qzrh21XBfJ6MlaZ+v3EEunU7oIxE5uc3C2D97fnNAoLRAV8hp5f+/GZZcWxtupzgY0mIQ+TPj3i5cxJ/blo1RdeoTO3no/NIjIngr01qWjVaQlxeBa92T0N0wDf+Gn6/4YLAF9dh6DQgR2MhpLijklhCcmH6lEkwNDLG2QuXIS4uKHNr1MQR1apUxLLFC3HwSEoGHVsQ1fX4KWH2V5269eBx6QJOHj+KiVOmwcTUFGpq6rzMtXqNjEu2OnbqwgNzybZs2gBv7/e4dPUG7GrX4dc5OjWFv78f5s+djT79BohkrLVo1Vp4/0aNmyAiIhwb1q3BqLHjoaSkhAGDh6BZk4Y8k6+WXW2+3YljRxEYGIj+A1JK0DLCgpQ3b1zP9pidv3QF9ezrIz8EBwXBxNQs3fUqKir8A0tISEiWQUdSMkxftROGulo4u22xMFDUyM4W1doPxbLth/k6aqkDdq7rZqO2TQVh1pjHHU+cvHwbEwd0hom+NtSUFXmZa/VK6T/wMh2d6vPAXLItzqfh/dUHl3Yvh51NeWEHUv9fIZi/6QD6tHMUPW8b1BLev5GdDSIio7HhwAmM6tUOSgpyGNCxOZoNnMoDWrWsBfs7cfk2AoPD0L9D1gEqFqS8+Ug0iJGR8zuWoF61ShneFhIWwc8vZQXRb8QZtpbcp29Zrx9Z1lCPN5BI7auPHw+0iafKiGNZiVExseg3dRkPlFa2MMXV+0+xZJszkpJ+Y8awHiL7mL56F9btO8b/LScjjX3LpqB+jSrZPldStHlsmw1FLQN0W3ECZcQE87JJNQds618btw6sQPs5e4XbxkaGoeMCZ2FWl34lO3x6eAVvb5xG7e7jeOmljKIaxMQleAOEjJR3aM8Dc8kendiOoB8f0HPNOehXFMzlLOgXGRyAG3uWoEqzXjzDLBkLyCXf36SqA+KiIvDAbQtqdBwBKTlF2LTsh0MTWvPAlH4Fwf7e3jyN6NBfsG6R8v9KRg5NbIOvz7JfVqL7ylMwrCL4DJFWTHgIW1QMUnLpF5+XkldGsM/nLPfNGkZ0X3ECbrN74dFxwReJ4lKyfC271I8ZExYCZR2TdPfnTS1+/0ZsRGiGwckXF4+gtJg4fx1I8ffOeT6k1Q1QfZorf92Tmxbcmlwf3ifWwGZMypfOCVFhvMxTxUJw3ihb1ETgi2u8VFOu9WjIahrxJgmlxSSgXNY2w8fTsWvLA3PJvlzchaifH1Fj1gmolKvBr2NBv7jQQLx3Ww79+t1Fzm8WkEu+v3ql+kiIicTn89tg3GwIxGUVYdCwNx4s6sAz+ZTLVefb/XxwFvHhQdDPoMlCag8Wdcy0kUNq1acfhaqVXYa3scAnO7/YWNISl1NClH/Kl2ZZuTOrGcI+Pef/Zk0i2OsjqZB58z+fm66QUFCDemUHkeslFdVRa/YpnkF5bYzgeJQqIwarXgugW5vOcUIYCtgRkkMsW+vWjeuYOn0mX5+FZY8la9CwIY6mKndlFBQUREo1WWDOrKw5vn3LOvskNRZwS+32zZswMDQUBuuSdenWHUMG9OPZexaWKd9Yt23XQWS7dh06YevmTbwbKxubff0GsLCwxK4d24UBu907Bf9mWWpZWbdxCw8AZqesefp1LAj5V1g22K3HLzB1ULf/z9uUzKwGNargaKpyV0ZBTkYYrGNYYM7MUBfffP1z/JgtGogG4G97voCBjoYwWJesS/MGGDJrNc/eszAxEF7ftrHo+d3OsS62HjmDV96f+djsq1fma77tOuouDNjtdnNHrSpWsDRN2U9G1s0ciYjIqGyfA8sQzC/DurfmWYQLNh3g69UFh4VjxNx1KF26lEjgkmXMseYSs0f04sFKhj334NBwrN7jhgn9O/HutMlY196OTvXgFxiMQ2c8eGYky2ZkwVFSPLEsLBagqtNzIj+/WXZJMmMbe5FyV0ZSVl6kBJOtP6eiZ4owf0EGbU6UTbN+29fnd3hTheRgXbIKDTvizPIRPHtPzTBlHrSoJzqvW9Zvg8cnd8D/42s+NiPruryr6tMz+4QBuydn9kKvQg2e4ZaVpmNX8QBgdlT003/RlVeCvn/AsXl9oW1eBTat+qFMGTG89HDDiYUD0WmhM4ys6/3xvhPiYvD2+gmY1XSETCHqLEzyB8sGYwEq07bjWJcQkfNbtUI9/LwvuvSJmLS8MFjHsPXnZLVMEB34I8ePybqlpsZKXKXV9ITBumQ6tdvjxbYxiPT1FumOqlVdsAZrMu0aLfH10m6Ef3vDx6ZavjZkdcri29UDwoDdtysHeKfVjNZ9S618v2U8Sy07str5d34nqzx0PRKiI3iA79PZzXi4pCtqzj7Jj1VGTS4CX96EkdMAlC4jGnqIDQuE55oBEJdTgc3Y6bwU1v/JJbzeNwNlpOUoaEcIBewIyV02FyvDWjBvDr9ktxabknLKGg2pg3YxuVhfSlNTS+T3oOAgaGlpZ7pdcHCQyPXq6hoiv2toaPKfvj4pnZz6DxrM17ZbvmoN/P38cOP6NWzflZKRkBlTM7MclbumXqcqr7FjHBISnO76oKAg/scbyyIkJRsL7rDmCAs2H+CXbM/bDLLGWNAuJk330qxoqoqe+0GhEbyUNd12asrCMaamriL6vtX4f3+sM2sylkk3a90e3ozBPygENx49x/YF47Mdm6m+NvtyPVusbDUzbN06dn4Fh6X/w4EF31j316ywQKXXp2886LZ46yG+r/aO9XhgLXVJrIqSYH0dh1qiTSYa1rLBDtdz+PDVB+XLGgmv19VU4xeGra/H1g+cvmoXBeyKsZiwYF6adXPvEn5JK3XmC5NR1lgZCUnePCKnWNmqyBjCQ9Jdx8iqCObf6HDROUpWWTQLRVZZnf+M+JWSmWrTsi9f267xiMWIDPbH12e30HLK5mzHJshYy/4EL1U683mZZfmx4EhMREi622LCgwUZcFm4tnM+xCVl0GHefuEf58ZVG/B1AT22zET/rYLMfCl5xQwfI5pl+JUqBUk2jjTY2nasrLkSlcOWCPERIfz89j66nF/SSdNZNqOssdLiEkiKz/n5LamokW4Mkkrpz29JJXXh7amxLDKR3xUF28UG+wmvM2jYC++OLIRlz/mIDQ1A0Js7qDRkXbZjk9UyztHn7qzOb75uXalSgky7NNhzEZfN2efm5CClkpkNz5pj2XEfz2zinV7T8rl1lNXQQreuaDlscgMM1im2/tpTEJcRfHZgQc34yBC82TcTOrXapvt/nJCShjLsCMkhRSUl/sf90BEj0aVr939y3NgfsqmpKKvg4wfBWhyp+fn95D+VlUWDAgEB/jAvl/KNHSudZbR1dITXde/ZG7NnTIPzwf348uUzlJWV0a5Dx2zHVhhKYlkW4PVrV9Nd//bNGxgZG1M5LIGivJzgvO3WCl2a5c/7MNvzVlEOH7+lBMmTsUwwJm2AKyAoBOapMtz8fwm209ZIySjp3qoRZq/bwxtXfPHx4+Wp7ZqkZPTmZ0msjLQUDHU08eZD+mxhtn5d/erZl6HOGtEL4/t1wqcfvjxAyYKc1q0HoZZ1SmavVTbZgrFxcVnebm1VFlsPpyw4ToofFtRhf8xVbTuIZ7T9E2nObyl5Jb6mWlqRQYKsXOn/F2QXXh8cCFX9sql+D+A/5VRTvoyr2KQrD3yx5gqhP7/yx7C0F83My6+SWNbZVUnLAAGf069Vx9avyy5Dzv/TG2iYlk+XSaNdrgoeHd8uslbdlyc3M3wMJS3DTMphD0NaUZWXHJPiT0yGBY9Lw8ixP3Rq5775UF6c37xM1O9Tus1iQwKEt6cWFxYI6KRkuMWFCraTVE4J+rF13LxcFvHGFWzdNhYkY2u5ZScvSmLLSMpAWk0fEd/Tn99s/TrV8tl/jkiLBUplNI0yPE4Ma/Qhb1AeCoaiVQYMyzxkgcjkYF0yRePK+HHjCD+ebH08QkoyCtgRkkOysrK8jPTlixewXm6b7o/yPyEpKYGYmJgcb1+nXj0cO+qKe3fvoGatlMnY5bAzNDQ1RYJzzPFjbiJlucfcXPjzKF+hokhX1U5dumLntq08oNetZy9ISaV0dyvMJbHNW7TC/r17RNbgCwsLw/mzp3nTDEJkZaRQ26Y8Xnp9gvWEgXlz3oqLIyY25xl3bB081vH03tPXqFklJSDlcu4az55LHZxjjl+6JVKWe+zCTchKS6G8mZFIllunZvWx0/Ucz7Dr1qqRSHlofpfENqtfA4fPXEFYRBQvI2bueL7i3XOb1xctHcrqtalQ1pj/2/3GA14avHnuGJG1/OZt3I/LdzyF2zGseYeMlKRIGXFarJyWrfFnopc+I5kUHxLSstCvWIuXk2oNrZIn53cZcYlcZdwZVKqNt9dP4vur+9Arn/Lef3XFDbLKGiLBOebtjZMiZblvrp3ga7xpmFiJdEtla7Q9Ob2bB/RYg4XUXVfzuyS2bC0n3uWWrfnHGngw317c41lyaUuC05JT0YC/90tevpg6aMe688qrpVQNlK3VlHfOTb1WH3s877vuqNCkc7r9RgT54+PDK7Bt3V+4ViEp3sSkZKBiUYMHdRSMK+fJ+c0y7hJzkXGnYlELP++fRrDXQ162msznzjGePZe2/PTngzMiZbmsMyoLksnrW4pkuWnXaotvHvt4hp1u3Y4ok4PzO69KYjVsm/Cst/iocGGgLOjdfd49V8OmCXKLPYdIH28oZZBBx7r2skCgRY/0lUnJGY0h3k9ExpJ8v9LiUukCooSURBSwIyQXFi9fCUcHe7Ru0RS9evflHV5/BQbC8/Ej/kEidYOInCj3//pxe3fvRIWKlSAvr5Au6JZaj159sGn9OnTt1B5z5i2Ato4ujjgfwpXLl7B+05Z05X1nTp2EnKwc6tSzx83r17Bty2ZMmjItXanowMHDsGfXTv7vfv0H5WjsWY0zN6KionDh/DlhZhxz/Kgb/2lhaSVcS49l87Gsvs3bdqJ7z178uuYtW6FGzVq8m+6CRUt5FuTKZUv4azFm7IQ8GR8p+hZPGAjHvpPQeuhM9GrTGJpqKvgVEgrPV+8F522qBhE5UY6vH3cee49dQAVzY8jLyaQLuqXWo1VjbDp4El3HLcScEb2gramKI2ev4sq9J1g/c2T68/bqXd40gQX6bj56jm0uZzFpQOd05boDO7XAnmOCbrH92jvlaOxZjTM3xvZuz59Dp9FzeaYc68A7Y80u1Khsieb1U/5YOXjaA0Nnr+YNP+pWFXxR8PTNB1y6/QiVLU15eQ8L9K3dewxj+3QQCWiyclfWrZetdccCcFUszXD13lPsOX4BM4Z255l+zMLNBxAcGoGaVSz5a+sXGIS9xy/i0Usv3niCFG+NhizA/rEtcHhKB1R26s47vLIGDb5eT1EKpUQaROSEmqE5np7di6fn9kPDpDxf9y5t0C011nH20bGtODq7N+z7TYe8mjZeebjh0+NrPICWtpzL6/Y5SEjLwaCyHb4+vY3Hp3byhhe8FDUVm1b9+RgY6+a9czT2rMaZGzU7jcTLy65wndkddl3H8DLUK9vm8EYcqQN2LOPtzPKRvOGHYWXBl2YsoHZ8Xj+4zezBm2SUFhPDqytHeeZfo2ELhfc1t2vK98e67joMmsOf/x3nNTzDqWbHEenG9MrDlZdHVmrSNU+eIykaLLrPwf35bfFoaVfedVVCSZ03aAj9+Iy/V1I3iMgJtn5c3JUD+HbtEOT1rSAmLQe5VBlxaenW64zPF3bAc01/mHeaAillLfjcPoZfL2+gfP9l6c5vv0fuEJOShbJFLV7q+vXyHpi2Hp2uXNegcR98v3aI/1vfQbSBUmayGmdumDQfxgN2nqt6w6TVSCREhuGt83wola0qsoYfy4x7sW0cqk1zgaqlIEnAc3VfKBhV/P/YySPy5wfeVKNUGXEYNU3/98OPm268iYSOXcYNJPQb9uTBz0fLusG42WC+z4CnHvhxyxWGjv15gxBCSjoK2BGSC9bWNrhx5wEWL5iH8WNHISw0FOoaGrC2tuVrweUW6+r69MkTzJoxjQf+WCdZ98vpSzyTsew4d49rmDF1MmZOm4Lw8HCYl7PAjt370LV7+gl/194DWLFsCTauXwsZGRmMHT8R02el/5arirU1LyHV1dUTaVrxLwT4+6NHV9Fv5ZJ/nzZjlnC87A97toZg0u8k4XYs0OF24jSmTpqAMSOH8WzFGrXscPaCB3R0df/p8yCFl7WlGW4cWoPFWw5h/JItCIuI5GWY1lZm6N8x666qGWFdXZ++8eZryP0KCUMd2wpw37k0y0wy913LMGP1TsxcuxvhkVEwN9bHjoUT0LWFaMc0ZteiSVixywUbD5yAjLQkD2RNH5q+DL+KpSmMdLWgq6maZbZZftDRVMO5HYsxefl2dB23AFIS4jxQt2j8AJEsCBZoY2sIpl53R0JcDBduPuRr2MXGxfOxr5s5Ar3apP9mf/2skdDRVOWddllXXSNdTb5u35CuKeVDLJDHuui6ul/nry1bG7BSOVN47F3BA4ikeNMyr4y+my7j5r5luLhhCs/SklFSg3bZKrBumbtgPFOlWU/8fP+cl6RGhf6CQSU79Fh1Osssvx6rT/OA1tXtcxEXHcEDZ62mbEGFxukzTlpP24Y7zqvx8NgWiElKo1bnUajbK31gWatsJShpG0JeTUekacW/IK+uw8tmL2+ezru9suYcLMDmMHi+yPn9OymJB9FSL4xpad8GYgukcffwWpxZNhxJSYm8sUfa48ECHZ0WHobHlhlwXzuBZzXqla+O7itO8sdPiwUH1Y0t+etNSg5F40qwm38e3sdW4fW+6TwTi3UjVTCuyNeCyy39Bt0R9vkFvI4sQlx4EM+GqzFD0F08syw/djvrVvvOeQHv+soCZ5WGroduHdHGbkzl4Rvx8dR6fHbfjtIS0jBpMRxl26f/AlnRqCLvfiuloi3StOJfYI9ZY/pRvDkwG56r+6GMuBQP1Fl0m5Xm/P79//mdatxmtvh57xQ+nduKpIQ4SKvqQsXSDqatRkJaXV/kcZIS4uFz9zjUKjWApGLGHWSVy1blY/E+vgqvdk9FYmwUZDQMYdljHg9qEkKAUr9zsnolIYWYm5sbOnbsCJ+AYF7eSYD9+/bwrrGvvT7C0CiljC4zr16+RHWbSti5Zz/vOEtyJjQ0FDrqynB1dUWHDuk/uJE8PL9vufIy0OJs/8lLvGvs63O7YaibfpHrtF69/4zqHYZh56KJvJEDyVuh4ZHQqdORzu9/cH6PO/mZl4EWZ6z8k3WNHXbwKV8jLjv+n15jx4A6aDV1Kyo0+kfr85UgMRFhWNXaiM7vQmDEiBE4dO46ai64hKLq+/UjvGus/ZoHkEkTuMpI+Le3uDWlASoN20CdUHPp3ozG6NbMHhs2bPjTl4uQIoUy7AgpwX58/44PH7wxb/ZMGBga5qjZBCGkYP3wC+QdUudt2AcDHQ20a5Lx4vGEkKInLOAHgn98wvXdC6GoqZ+jZhOEkKIh+pcPovw+473rEkir6UE7B80mCCElG/VJJqQE27NrB18XLjgoCLv3HYSEBK0VQUhht+eYO+/2GhwWjt2LJ0FCnBZgJ6S4YOvWsW6v0WHBaD19G2+CQQgpHti6dazba1xECCoP30RrtBFCskUZdoQUQz179eGX7LD14TJa044Q8u/1bN2YX7IzfWgPfiGEFB2VnLrxS3bq9Z7CL4SQokPPvjO/ZIetZ5fRmnaEEJIZyrAjhBBCCCGEEEIIIaQQoYAdIYQQQgghhBBCCCGFCJXEElIEDerfF1+/fIb75asoSs6dOQ2XI4fx1PMxvL3fo07deumeQ2JiItavXY0L7ufx5vUrREdFwaysOQYPG87LfFO3nGeOH3XDsiWL8O7tGygqKaFtu/aYu2Ax5OXlMx1H6xZNcfniBUybMYtKgkmRMGjmKnz18YP7zqUoauM+eOpyuuuHdW+N5ZMGpzv3Nzufxp5jF/Dxmw/kZKRRycKEd8HVVFXm27icv4Zth8/g/ZfvCIuIgpa6ChxqWmPakO7Q1VT7Z8+LkLx0eulwhPp9RY9Vp4vcuF9cdE53fbV2g9F4+GLh799e3MOz8/vh6/UUgV+8oKCug+GHnmW4T6/b53DXeQ0Cv3qhdBkxaJiUR52eE2FYhZrrkOLj+ZbRiA78hhozjqEoSUpMwGf37fh+zZmPX1xWGSoWNWHeaTJkNAz5Nr+TEvHp/DYEPPVAxPd3SIyLhqyWCQyb9INuvc7pPscTQrJGATtCyD9z+tQJvHj2FLbVqiM2LjbDbaKjo7Fs8UJ069ETw0eMgqycHC64n8OwQQPg7eWFeQtT/ghwOeyMvr26o2fvPvz6z58+Yu6sGfDy8sKZ8xcz3D+7z4vnGf+hQAjJe5pqyji8eqbIdVpqggBcav2nr8CVu08woX8nWFuVRVhEJG4+eoG4uHjhNkEh4ahXrRLG9GkPRXk5vP/8HUu2OcPjriceHdvCg3yEkH9HVkUTHebuE7lOTlVL5PfPT67j6/O70C5XBUApxEWFZ7ivD/cvwW12T1jat0Hd3pORGB+Ph8e34vCUDui97gK0zCvn63MhhGTtvetSfDyzCWZtx0LFohZign3x/ugKPFjUCXWWXIGYlCwS42Lw4cQa6NbpCCPHASgjJcuDdy+2j0Ok7weU6zKdDjMhuUABO0LIP7Nxy3aULi2oxHdq1CDDbaSlpfHy3QeoqKgIr2vg0BAhwcHYuH4tz4iTlJTk18+fOwv1HRpiy/Zdwm3V1NTRo2snuJ8/B6emzUT2HRwcjMkTx2Hp8lU80EcIyX+SEuKoXskiy21cz1/HsYs3cf3Aah6sS9a8fk2R7YZ0bSnye92qFaGvrYE2w2bi2v2naNGgVh6PnhCSFTFxCehaVctymzo9JqJur8nCrLyvz25luN2Lyy5Q1NBDm+nbUer/zwqG1nWxuq0Z3tw4SQE7QgrYj5uu0KndTqRxhqSSJh4u7oRgrwdQr9QAZSSkYL/6HiTkUr6YU6tQF/FRofjsvgNm7SegjLjgczwhJHu0hh0h7BsjLy906dAOhrqaUJGXRjlTQ/To0gkJCQn8+ISFhWHc6BGwqWgFdSU5mBjooGPb1nj39q3I8du/bw9kJUrj4YP76N65IzRVFGCkp4UVy5bw21mZZ61qNnwf9exq4OmTJyL3Z0Esdjlx7Ch/LGU5KVS3qQyPy5eyfZ0CAgIwavgQmBrqQklWkt9/7+6dItv8/PkTA/v14duwfbPn0b5NS/j7+/+T90FysC4rZcqUEQnWJbOxrYqYmBgEBQXx3wMDA/Hxwwc0cXQS2a7x/7+fPnk83T5mTpsMq/IV0KlL1794FqQ4YJlZXcbMh2H9rlCp1hrlHHujx4RFSEhI5LezcstxizbBps1gqNdoC5OG3dFx1Fy8+/RNZD/7T16CbOVmePj8LbqPXwjNWu1h1KAbVux04bdfuPUQtTqN4Puo120Mnr75IHJ/p/6T+eXE5Vv8sZSrtkL1DsN4xlh2AoJCMWr+epg26gEl21b8/nuPXRDZ5mdgEAbOWMm3Yftmz6P9iNnw/xWCwmS7yxnUsa0oEqzLKVUlQfm7WJky+TAyUhT9+uYNt1k9saa9OZY6aWND14o4NrcPL+diYiPDcGHdJGztWwPLm+thbUdLuM7oxsswU3vufgiLGqrgx5tHODqnN1a0MMCa9uVwx3mNMCNs52B7vo/dwxrh5/vnIvc/MK4lv7y9cYo/1lInLWwfUAefHmW/nEVkSCDOrx6HdZ2ssMRRk9//6bn9IttEBPnh9JJhfBu2b/Y8XKZ1QWRwAAqT5OBbdhLj4yAuLSuyvbikNMqIi+N3ouD/ZkIywjK3PFf3hcfQCrjQxwhXR9niydqBwnM+Piocr/ZMw42JdXGxnwmuDK+Mxyt7I8Lnvch+vl8/gvPdtRHi7QnPNQNwsb8ZPIZWxIdT6/ntLFPs1rTGfB93ZjZF6OcXIve/v6Adv/x8cIY/lntvQ9ya4oDAF9ezfeFiwwLxcuckXBleBe69DPj9v107JLpNiD+ebxkl2Ka3IX8ej5b3RGxo4D95YyQlxEFMWnTJGXEZwe+/k5L4z1Kly4gE65IpGldGUnwM4iMK1+cPQgo7yrAjBED7Ni2gpKSMtes3QVVNDT4/fvDgWtL/k09EeDgP3rHsLg1NTQT9+oVtWzfDoZ4dHj9/DS0t0fKPAX16oXvPXug/aDCOublg9oxpPEPs4gV3TJoyDTIyMpgxdTK6dmqHF2/eQ0ws5VT08nqH6VMnYfrMOVBUVMS6NavQoU1L3H34BBaWlhm+Xiyg2Lh+XV5mOnP2XBgYGvEy0uFDBiEuLg4DBw8VjKtvL3z78gULFy+Dnr4+/P38cPXKZb5OXFaSA5fZ/oeS6nnktRvXrvFAnoaGhjCwx0hISIhsJy4uztfHeP3qlcj1d27fwqED+3Hv0dN8GyMpOtqPnAMleTmsnTEcqkqK8PEPxIWbj5D0m53zZRARGYWExERMH9odGqrKCAoJwzaXs3DoOR6PT2yBlppoUHnA9BXo3qoR+ndsxjPFZq/bg5CwCFy8/QiTBnSGjJQUZqzZha7j5uPF6Z0QE0sJLnl9/o7pq3bxx1KUl8W6fcfQYeQc3HXZAAsTgwzHzwKKjftMQGx8PGYO6wEDHU1cuPkQw+etQ1xCAgZ2ai4c1zcffywc2x96Wmo8UHf13lNEx2Rckp4sOXCZndTPIzM/A4KgX68zQiMiYayrhb4dmmJUz7bCAH58fAIevniH/h2aYfrqndh/4hJ/flUsTTF3VB/YV09fBsfWu0tITOLHbsqK7bA0MUCDmtY5GjMp/lymd4GUnBKcRq+AtKIqIgJ94X3/kuAPyjJAXFQE/0O+bu8pkFXWQHRYEDxP7cK+kY4YtPse5FQ0RfZ3evFQVHTsApuWffHm+glc2zEPMeEh+PDgMmp3HwdxSRlc2T4bR2f3xND9j/naa6mDh1e2zeaPJSmrgPuuG+Eyoyv6b70ONcNyGY6fBRT3j26GxPhY1Os9BYpaBjw4eG7VGCQmxMO2VT++3anFQxDm9x0Og+ZCQUMXkcH++PT4OuJjo7M8PslBjOykfh6ZYUHD1W1MERMZBmVtI1Rp0Qs1OgzPcZAuNesWvXFkamfcdV6Lys16IikxHncOreZzeqWmlBVPMseCVuKyiijfdwnE5VUQG/QTAc88WBSJ354YE4HfiQko234iJBTVEB8RjK+X9uLu7Jaot/wGJJUEny2TPds8Erp1O8KgUS/8vHcKXkcWIT4yFIHPrsC09WiUlpTGO+f5eLK6H+qtuityrrDg4dtD83kWmpiMAj6d24JHK3qhzqJLkNM1z3D8LKB4f14bJMXHomyHiZBW1+fBwZc7JiApIR6GjXoLxxUd+B3lus2EtIoOD/L9enmDrxP3L855g8Z98Pn8dp5Jp2LJSmJ/8ucqp2fBs+iyEvT6NsTllCGpSOvNEpIbFLAjJR7L1Prg7Q2XoyfQvGUr4fHo3LWb8N86urpYt3GLyB+LLJPLSFcTrkecMXL0WJHj2KNXb0ycMo3/u559fZw+dZKXcz5/7QV9A8Ef4L9//0an9m14Nl4tu9rC+/r9/Ilb9x/B2tqG/96gYSNYljXG0sULsXvfgQxfr03r1+Lbt694+OQFTExN+XUODRshLDQUC+fPRb8Bg3iA68G9u5gzfyG6dEv54NuuQ8ds3wOKMqJBscxExgk+GOU1Fug8fsyNr1OXHKhTVlaGmro6Hty/j6HDRwq3ZceTHdvg/zPxGBa0HDVsCEaPHQ/zchn/gURKjsDgUHz46gOXtbNESi47N0sp09bRVMO6mSNFz/natjx7jpVvjuzZVmSfPVo3xsQBnfm/61WthNNX7mLjwRN4fnoHL9lkfuM3Oo2eh4cv3qKWdXnhff0Cg3Hr8DpYW5rx3xvUqALLpn2xdPth7F48KcPnsOngCXz7GYCHRzfDRF+bX8eaL7BA18LNB9GvvZPgnH/2FnNG9kaX5inPrV2TrD9UM4q2oqWnmYl8di7L2yuVM+HPy9LUADFx8Th95Q5mrN6Fj199hMf3V2gY4uITcODUJRjpaWPj7FE88L5mjxsvdb3vtgnmRnoi+zV26I5fIWH83zbly+L0tkW89JaQqNBfCP7xER3mH4S5XVPhASnfsIPw3/LqOmg6dpXw96TERJhWa8iz515fOcqzXFOr6NiVB+YY1vyANUZ4eGwLhux9BEVNPeH57TazO8/G06+Q8v9KZJAf+m2+KiznNLaxx8buVXD74Eq0nrYtwxfs4bGtCPP/joE7b0NZx1hwP9v6PJB3c+9SWDfvjdJlyuDH60eo338GKjRKmcfZ+m/ZWdJENDiRmWkeKfNoRjTNKvDnpW5kgYS4WHjdOoMr2+Yg+McnkeObUyZVHdBh7n6cWjIYV3fM5dfJKKmh82JXqBlkHOggJC78F6L8PsFm3B5o2joKDwgr3UwmpaKNCv2XCX9njRFY0Illz/ncPQ7jpqJNkPTqdeKBOUbF0g5+j915swX7lbchrfb/fPT7NzxX9UGotyeUy1UXyYKzW3ABisaV+O8skHVtTHV4n1iDKsM3ZfiCfbmwHdGBP1Bn6VXIahr9f796SIgKh/fRFTBw6MEz10LeP4J5p6nQrd1eeF/tGtnP1xd66efojdL0oG+Wt5t3mIRSpUrj8are/PkzCsaVUH2aC0qLZf63QsCzKzzr0LzLdP48CCE5RwE7UuKpqqrC2MQEs6ZPRUCAP+rWqw9TM8EfzqkddXXh2W7vvd4hNDRUeD37Pa3Gjk1Fss5MTc0QGRkpDNYx5uUEazp9/yZaYsfGkhysY1g2XtNmzXHr5o1MX6tLFy+gRi07GBgaimTDNW7ihH17dsPr3TtYWlnBtmo1rFm1gt9mX98BVuXL56hb0827DwrsffLm9Wv069UdDo0aY8y4lDUzGNaUYsG8OahlZ4cOnbrwphNjRgzjgYrU5berVyxDdEw0Jk2lhW4JK6FUgLGeFmat3Y2AoBDUrVoJpgY66Q7N0Qs3eLbb+y8/EBoeKVJOm1bj2lVFss7Y/iKjY4TBOiY56PT9p2jpChtLcrCOkZGWQtN61XHrsWipTWqX7jxGjcqWMNDWEMmGY0HFfScuwuvzDx4ksy1vjjV7j/LbWKaalZlhzs75Q4KSv781oodo8MCpbjXIykhj08GTGNe3I18y4HeS4EN/fEIijm+YC20NVf57HdsKKN+sH1budMHW+YJgSbIz2xbxLMG3H79h5S4XtBoyHR57V0JBTiZPxk2KLmkFFShpG+Hq9rmICg6AQZU6UNE1Sbfd62vH8cB1I8+AY4GwZOz3tEyrNxLJQGFBtPiYKGGwjlHVF5Rzh/n/ELkvG0vqZgniUjIwq9kEX5/dyfQ5fHzoAd3y1aGoqS+SGWNSvSGeuR/Er2/veZBMu5w17rmsF671pm5kmaPzu+8mD+SF6u0F2fvJzGo05iWtLOBYq8toKGkLukbm1I/XD3F66VCUq9MC5R06IDExAY9P7oDrzO7ovvIkNIyt8mTcpHgRl1OBtIYh3h1eiLiwQB5gk9USBLpT8713ime7sQy4hKiUcz7SR3SpCkatsoPIOS+jaYzE2KiUYB1rrqIjmLejg3yQugCUjSU5WMeUkZSBunVjBL25m+lzCHh2DcrmVfn+U5/zapUb4Pt1Z0T4eENerxwUTarg09nN/DbV8nUgp1cuR+e83fzzyAtfLu3Bp7ObeKaiskUNxAb7wfv4Kjxa1h01Zp6AmFT6OTj8+zs82zgcqhXqwaS56P8ZhJDsUcCOlHhsojt97iLPRGNBu1+/fvGg2bgJk3hmGnPuzGn06t4FQ0eM5GWxrDSTBYTatmqOmAxKy1j2V2qsbDNt6Wby7zGxMSLXq6un/+ZbQ0MTvj4+mb5WLNDIsgQzy4QLCvrFf+49eBiLF8zFqhXLMHHcGGjr6GDgoCE8GzCr9eUqVWad3f69L58/o1VzRxibmMLZ5agwuy7ZmPETeWbhhLGjMXbUCB4cHTR0GKSkpSGvoMC3+fb1K5YtWcQbXsTGxvJLMrYmXkhICBQUFHK0vh4pRuf81oU8E23W2j08U4sFzVgAqV8HQbD93LX76DVpCYZ2a4Xpw3pARUEepUuXQtvhs3mmWFrKCnIiv0uIi0FCPO11ggywmLg4kevVVZTS7U9DVQm+AUFZrl/HsgQzy4QLChX8MbJ32RQs3noQq3a7YeKyrdBWV8XATs14NmCW53w5QaZufujkZI+NB07A8/V7HrBTUpDjrwkr/00O1jGs4ysLSr7y/pzB+AQBGHZ7vWoVUbHFAOw6eh5jeqdkHZCSib2Xui47hpv7luLqjnm83JUFzWp1GQXrFn34Nu/vuOPE/P6o2nYQL1WVVlDmWSNHpnXmmWJpScmLnqNlxCX4Je11TGKa+8sqpS//YmW4Eb9+Zrl+HcsSzCwTLjosmP9sO3Mnbu5bhruH1+HSxqmQU9WGTau+qN1tXJYlqZpmFZFfyju0x8OjW+Dr9STXAbuLG6ZAs2xltJi0UXgdyyzc3s8ON3YvRod5omv4EZJ8zlefeoR3K2VBO1buyoJmJi2Hw8ChJ9/Gz/Minq4fDEPH/rxUlZVmsvs9Wt6Dl6GmJS4res6XFhNHaTFFketK/Z9RlpTmnJdUSH/Os+tYcCszLNDIsgQzy4Rjz4mpMnIrvI+txMczG/Fm/0xIKmvBoGEvng2Y1Tkvb1gBfysuIhhvD86BaetRvEtsMqWyVXF9bA18v3YQRk4DRe4TFfAND5d0hYymIWzG7qLsOkL+AAXsCPk/q23H7r28lPL5s2fYunkDRg4bAkMjYzRs1BiuLkdg38ABK1atFSmzTF12mVdY8C0tf38/HlzLjIqKKrTqaGPJ8pUZ3l7WXFAGytZ/W71uI7+wrLuD+/di3pxZfF2+vv1FJ9mCLollAcrmTo2gqKCIE2fOQ05ONPiRHPRcv2kr5i9aygNzunp6kJeXh76WGoaPFJQyfPr0kQfm+vcRfGhLjQUu2cXz+WuUs8i6iyUpXoz1tLFj4QTBOf/uI7YePo2R89fzxjMNa9nA9cJ1npG2YvIQ4X3i4uMRHBae52NhWX5psbXmtNXTN19JpqIoDy2b8lgyIePztuz/2Xws8Ld62nB+Yeu9HTx1GfM27ufr8vVtL9qwJT9KYrOSnBUgLSXJA6aZiYlNHyBN+1qy48HKbAlhlHWM0GrKZn5++394iUcntvMGDkpahjCu2gCvrx2DoXU9NBkhaAiV3PAgORCWl1jwLd11wf6QU838Pc8CiHIqtdBo6IIMb1fRF2T2yCqrw2n0cn5hWXcvLhzGjd2L+PWsbDa/S2Kzln3WT1r+H1+jWlvBF6XJyoiJQ8O0PPw/vfmLsZDiTkbDEJWHrufnfPiXV/hyaTde7ZwEGXUDqFW0h+/dEzwjzarXApEGCvnRAIGtK5fRdZLKomtjpsYCiMpKGrDsMSfD22W1Bec8W/+tfN/F/MKy7n7cdMF7t2WQVFSHvkOPfC2JjfT9yIObCsai68rKqOvz8Uf8EG3gwda3e7CoI29KUXXSIYhJyeZoDIQQURSwIyTNH5CVq1TBkuWrsHf3Lrx+9ZIH7FhTBramUmos2MXWtcprnz5+xJMnnsKy2KioKJw/dxYNGzXJ9D6Nmzhi25ZNvNmEmlrOFnNla7nNXbAIO7dvxatXLwtVSSxbV7CFU2P+wev0+Yu8bDkrSkpK/MJs3byRB1N79eknzA48f+lKuvs0beyA7j178/UGU5cqkxJ4zluYYsmEQdh7/CJee3/hAbvo6FiIp2micvCUBxIT836dxk/ff+LJG29hWWxUdAzO33jAx5EZVvq67cgZ3mxCTVn0W//MsJJc1sRhp+u5DLPW8qMkNiOHz13lx90mVUfYlg522OJ8Cj5+gXz9QCY8Mgr3n72GU92UtYEywl4zniX5/1p+hCRj7zOWTcYCX8/OH0DA5zc8YBcfE40yac7v5xed+bpWeS3E9zN+ej0TlsWyUlrvexdhbJuyrmRaJtUa4vHJnbzZhIxi1vNf6pLc+gNmwvPMbgRkE9zKq5LYjLy87MoOPC/XzS05FQ34eok2hmJNNvw+vISCum4ejpIU53NewagCLLrPwfdrhxD+/S0P2CXFRaNUmoYKP2645Ms5H+3/BaGfngvLYlkpbcCTS3wcmVGv3IAHGVmzCQn5nJ3zrCS3XOdp+Oaxnz/P/C6JTW7MEfrxGTSqNBReH+X/FfHhQTzbL/W6gg8WdeLr3FWbegQS8pl/AUkIyRoF7EiJ9+L5c0waPwbtO3aCiakZD8Id2LeXB+jq2Qs+UDd2dMToEcOwZOF8vlbcw/v3sHXLJmGQKC9pammhZ9dOwi6xa1evRGhICO8um5kRo8fyNfaaNKiHEaPHwKysOe9s++7dW9y/exeH3Y7xdfdYEIw102Dr57Hnd+bUCQQHB6NRFsFAxsY2ZX2uv/H1yxc8fvSQ/zswIID/PH7Ujf+sU88e6urqiI6ORuvmTjwzbvO2nbzklV2SWVha8RJWxuPyJR5UtSpfATHR0bh86QK2b92CVWvXw9BIsGgve41Y44+MGBoaZnobKb5eeH3CpKVb0d6xLkwMdHgQ7sCpyzxAV69aJWFAbPTCjViy9RBqVLHCw+dvsfXIGd5ZNq9pqimj54RFmD60BxTlZLF231G+Zt6kgYImFhkZ0aMtjl64iSZ9J/F14swMdRERGY13n7/h/tM3OLxmJt9Hi8HTeDMNc2M9/vzOXLmL4LAINMoiGMjYlP/7Bd6/+vjxLrUdnOz5mn4xsXE46XEHh057YHDnFjybMdno3u3gfOYK2gyfhamDu/GS4jV7jiI6Jg7j+qUsqN+o9wQe3CtnrAdJSQm89PrE1xnU11ZH77Ypi42Tksv/wytc3DgVVg3a8rXm2B/kzy8485I2wyp1hQEx97XjcWv/cr5WnM+bRzxAJiWXs+B3bsiqaOLYvL682yvrEnvPdQNiIkKFTSwyUr39MLy5dhz7xzTj68Sp6Jnxzra/vnnh+6uHvDQ0JiIMzpPa8mYaLFjHnh9rhsG617LmDVn5k2BaWqF+33iXWqsG7fgagfFxMXh38wxeXDoM29YDoKRlIJJl+PXZbeH9WBfbN9dP8t91LGz4Wn2Mbev+vGnF6aXD+euXlJAAz9O7eHmww6CMM48ICfv6Gm/2zYR2zVaQ0RKc8ywYV6qMOFQtBU3d1Co1wKvdU/h6a0plqyHE+zG+XtoDMZm8P+dZYOvJukEpXWLPbkZ8ZJiwiUVGjJoOgu+9k7g3rw3/t6yWKRJiIhDp442Q9w9hM3Y34qPC8HBxJ2jbtePBOvb8/B+7Iz4yBGoVs/4sy9a++1ssk069SkN8PCVYN1OlXHWeRffhxBqISctDr65grmYda1kZbHTAV1QcuIo302CXZKxTLsu6I4TkDAXsSInHAmR6+gZYv2Y1fvz4DikpKZSvUBFHT57h2XYMKxdlzSG2b9uCFcuW8OYNR0+cQddOKR2o8oq5eTne9XTurBk8aMWCb24nTsPC0jLT+7DAnseN21i8cB4fn8+PH1BUUkK5chZo217QGY89ryrW1tizcwe+fv3C14NjpbJ79h+CU7Pm/+R9cP36VQwZIMh8S9ajayf+k2XBqdvXh7+fH54+8eTX9eudPr2fbZccZGNBxyPOh3jjj6SkJFSuYs27/TZrkbNyPlIyaaoqQ09bHev3H8cP/1+QkhBH+bJGOLphDs+2Y1i56He/AGx3PYcVu1xhW74sjq6fi67j5uf5eFjm29CurTB3wz58+u7Lg29u6+fwNd0yoygvC499K7B4qzNW7HSBj/8vfh0LZLVtLAhKSElKoIqFGfYcdcdXX3+UKVMaZQ31sGfJZDjVyzprLS/IycpAWVEeq3a78hJftmZeOWN9rJ42DAM6Nkv3mlzctRRTV+7AkFmr+flco4olLuxexu+TrGrFcryb7DdffyQl/eZNN1hAckyf9rwslhBZFQ0oaujhgesmhAX6QExCEurGVui88LBw7Tbr5r0QFvADnqd3447zGh7A6rTwMI7OTr90wt9S1Tfja+Vd37UAIb5foKJnik4LnaFmmHnHcik5BfRadwG39i/j4wsP9OXBRBaYs7Bvzbdhz0vTrBKent2HUL/vKF2mNFT0yqL19O28qUV+k5CWg7S8Mu4eXovI4AC+fhbr5Oo4ajlsWvYV2Tbw81scnyd6XfLvLSZuQCWnbvzfNTuP4uv7PTy+DScWnEHp0mJQM7JA50VHYFqjcb4/J1I0SSpqQFpNF5/Ob0NMkA/KiEtBTt8CVSfu59l2jH6DHoj55YOvl/fhw6n1PIBlO3E/nqwW/UyaF2S1TflaeV4uS3j2mayWCWwn7OOBqsyIyyig1pzT8D62igfEYoJ+QlxWgZfCav3fBba0uCQUjCri+9WDiA78zteDY49VecRmaFinNMbJT1VGbsPHMxvge/c4Pp5eD3FZZSiZ2fD16Vh2IBMbGoiwz4KmWc82DU+3j+rTj0LVyu6fjJeQ4qDUb1ZzRkgR5ubmho4dO8InIJgHrooyp0aCjD73y1cLeigkB1jWoo66MlxdXdGhgyAwSvLp/L7lygNSxY1T/8n8p/vOpQU9FJIGy1DUqdORzu9/cH6PO/mZB6mKmwPjBH9o91h1uqCHQtJgGYqrWhvR+V0IjBgxAofOXUfNBZdQ1N1fIPgiv8aMYwU9lGLr3ozG6NbMHhs2bCjooRDyT1BbREIIIYQQQgghhBBCChEK2BFCCCGEEEIIIYQQUojQGnaEFCJUCktIyUKlsIQUX1QKS0jJQqWwhJC8Rhl2hBBCCCGEEEIIIYQUIhSwIySHbly/BlmJ0vjy+XORbWjBxs8uSxctSHe7+/lzaOJgDw1leWipKqJureq4eeO68PZnT5+iTctmMDPSg4q8NIz1tdGudQs8fHBfZD/h4eGYOnkCmjZ2gLaaEn88duz+1ts3b9CjSycYaKtDVUEGVcpbYMum9AvOsg65Qwb24+NTlpOClbkJ77ib2tBB/WFT0Yo/T00VBdSwrYKtmzciMTFRZDv2PJOP2f59e/76OZDC68bD55Ct3AxffvihqDavYONnl6XbnIXXX7n3BE0HTIGxQ3coV22Fso17otfExXj78WuW+2s9dCbf18LNBzI8TmkvrDnDn7h6/yn6TV2OCs37QbV6G/5z7KKNCAgKTbftnPV70WrIDBjYd+GPuf9kxguUBwaH8n1YNu3D91mxRX/MXLMbEVHRItupVGstHH9m+yLFw5ent7CooQpCfmb9vi/MzSvY+Nnl1oEVwutZp9uLG6Zg70hHLGumm+lz/OR5HScXDcamHjZY1lSH/3RfOxGRIYHptmX3Z9uu71ye73Nr3xq467wWSYkJuR53XHQkjs3ri809bbG8uR5WtjLCnuGN8MrDLd22UaG/cGb5CKxuV5aPkW338aFHhvt9cmYPtvSujqVOWvyn5+n08/NSJ23hMXvufijXYyclw6/Xd3C+uzaiAr6hqDa5YONnF+/jq9Pd7v/UA/fmtcHFfqa42L8s7sx0wq83d3L9OM+3jBY+TtrLjQl10m0f8cMLT9YOxOXBVrjQx5hv8+XiLuHtsSH+IvtgrwMhJGNUEktICeLYtBmmTJsBPT1B6/VkO7dvxbjRIzFk+AhMmT6TB66ePX2CqKgo4TahoSEwNjZG9x69oKWtjQB/f2xYt4YH+a7cuA1rG1u+XdCvX9i3excqW9ugYaMmOH4s/Qfz3PJ8/AjNmjREPfsG2LR1B+QVFPDB+73I+BgWTG1Yvw6MjU2wcvU6qGto8Ou+fP4ksl1MTCx/rsYmpihVqhQuX7qA8WNG4dOnj1iybKVwu4tXrvMAYNdO7f/6ORCS3xzrVsOUQV2hp6kmvC4oJAxVLM0wqHMLqCkr4puvP1btcoVDr/F4eHQzdFNtm8zl/DW88PqY5WOtnjaM7zeZWJk/+/5vp+s5HkibNLALjPW08eHrDyzYdBAed5/g7pENkJWREm67+dApVCpnAqd61XHw1OUM98ca33caPQ8fvvpg1vCeMDPUxbO3HzB/4358+u6LAyumCbe9uGsZfPx/oeu49F9gEFLYmNZojDo9JkBBXVd4XfCPT3h99Ti0zSvDoJJd5gGu07t58Kx2j/FQ0jZC8PcPuLF3KT49vor+W69DQlrQgZtt4zyxLT+PGgyYDTk1bXx9fhvXds1HVNgvNBw8L1djZkG+0qXLoFbXMVDUMkBifBzeXD2Ok4sGISosCNXaDuLbJcTF4uD41ogOC0bDQXMhq6yOp+cPwGV6V3RddgyGVVICAk/O7sX5NeNh120cjKzr4fOTG3BfOx6lSpeCdfPewu16rjmD8EBfHJ3dK9fHmpCiRL1KQ5i2GQtpVR2R67967MPrvdNh2KQfzNqNw++kRIR9fomkWNEvr3LCtO1Y6DcUPZeiA7/h2Yah0LBxFLk+9ONT3F/YEapWtVFx4CqIScsj0u8jElM9rricMmrOOYOwzy/wes/UXI+HkJKEAnaElCBqauqoXqOmyHUsoDVp/FgsXLIMI0aNEV7fuInoBFzPvj6/pNbY0YlnvDkfOiAM2BkYGuKHfxD/N8us+9uAXVJSEgb27Y36DRrisNsx4fX29Ruk23bUiKHQ0dHFuYseEBcX59fVrWefbrvd+0Szhho1bgJfH1/s37NbJGD3X3t3ARZV2sUB/G+gdDdSIggKKraI3d1d6+rarrl2K3Z3rd3t2rWK3a4d2AoKKt0Y3/O+8zEwShkg6v/3PPMMXO7ce+cy78SZc95TtFhxPDH5MTMq6dcjAnLFCzirLGtcvZy8JFbULS/c63XCjsMn0b1VfZW/BYWGYeCUJZj01x9oP2hysvtyzm3zyb6+xIwh3WFiqKf8vUxRNxlkq/b7QOw4cgqt6lRS/u3Fqc3ImjWrzIJMLmB3/4kvzl29jfmjeqNdg6pyWbniBREcGo6pyzYhMioamhrqyvPwo2ZU0q9HU88YVvmKqSwTQbreW+/Kn0UWWXIBu2q9pkJLPyE4b1uwNAyt82BNn9q4e2IX3Ko2l8uf3zyHIL9HaDl1hwyGCXbuZRDs9xg3Dm/+7ICdurYe6g9bqrIsT4kqCHx+H9f2r1UG7O5478SrR7fQZuZeWLsp3qPkLl4ZS/8og38Xj0L7+YeVAUDvZV4oWK0lyv8+VHl84W9ewHvZeBSs3gpZsyk+2lg6F/lhMyqJPkcOHSMYOCreg8cTGYO3V49E3hbDYV9DMc4EkwKfvndOCy0zO3lJ7M0NRRWOVdmmymUf3r/H1QV/wtjVE4X7LFcuN8pfWuW2WbOryWN+HxfzRcdD9CthSSz9tDauXydLGUUp5ccqli2NmtUqy5/FN8lDBw1AyaLuskTS1tJU/u38ubOp7iOpUkkRAEuqDHTn9m0o71kKxnpasDQxQJsWzeD7/Dm+t1UrlskPwR07dfns22ppaSFnzpzInj0h9i8y1r4lcR7v3LmNnr37pLjewwcPcPjgAXTp1kMZrPscRkaGKveDMreNe4/KUsakSjtF9ljNPwYnjO8Zf6Nk0x4w92gE2/LN5d/OX7uT6j6SKpUUAR6xXJSGJrbz8CmUb90HxiUayPLQNn+Nh6//p+VmmYGhno68zp4t2yd/E6Wj+fLYomkN1eB8ekkcrItXOJ+jvPYLUD1/4nkqNbFxirI9XW1NleW6Olp4//4DPnz4ygOmDCFKJkUp4+snimBUYqL8c23/+srx/e+ikVjaqSym1rGR5ZTib763LqS6j6RKJUWARywXJbSJ3TmxCyt6VJEloqKsU5R5inLU7y1LGsaEkDhYF8/CqZC8Fllo8d7FxcnrnJqK54h4ObV0ZXbOt6Kha6gMrAm+ty8ih4a2MlgX/14id9EKeHH3MsJe+cllz29eQGTwa+SvnBAgEFwrN0Nk8Cv5d/q5+Z3aJksoRcnlx86MqoPz45sonxvurBuLk4Mry1LQw13yy78F+VxKdR9i+8+9N34SAEuqdPPlhT04PaIWDrS3x6E/8uLK7E6IeqN4vH5Pz73Xy6xTm4+y4r4l3xNboGtfADq58iqXBd4+jQg/H9jV6Jxu+yX61TBgRz+tOvXqQ1tbG+vXrlZZ/ujhQ5w7ewbNW7ZSZnD5+/ujd9/+2LRtJxYuWQYjQyNZ6nnj+vVvcixLFy9Eq+ZNkC9/fqzduAWz5i7A9WtXUb1KBYSHh6d4W1Ge+vbt21Qv4s3Jlzh9+hSc8jpj86YNcHXOA10NNbi5OGLxwvlJri/OV1xcHJ49fYq+vXrIZW3atkd6OXNK8cEpOjoa5UqXhJ5mDthamaF/nz8RFZWQXn/m9Cl5raGhgdo1qsr566xMDdGxfTu8efPmk+2K8yXOW3BwMHZs24q1q1ehW48/0+1+0LdVp0IpaGtqYP3uf1WWi7JHkWHVvFaFhPH9Ogi92zXCplkjsXB0Hxjp66Bq+wG44aNaKv2llm7ag1b9x8tA19ppQzBraA9cv/tIziv38bxpSY/v1C9fOr4T7yc2Lk5moP05dg7MjA3QsKoigybe6cs3sW7XEVnumpq2AyZCx722nE+u/eDJeP7yFb6V+GCos71q6X5aiP+BZxFXTFi0Dldu35fn/+Sl65i3Zgd+a1hNpcSWMi+n0jVlAOfGoU0qy4P8HstgnGvl/38of/8e4UEBKNm0J5qMXYfaf82Fhq4BVvepjYCHt77JsVzetRzbRv8GEzsXNBq5AtV7T0PAg5tY27cuYqNSfv1+/+6dzApL7fK14/tLxAcljWyclMvsi5SDoZUDjiwaiTfPfBATGQafMwdw/dAGFGv4+V/qxRP3T9zPyJBAOf/cw4v/omj9P1QCj9myf/pFWza1nPL61WPFF6+vnyi+aDGxd1FZz8ROke2bVICXfi5mRasjm7oWfE+qVm9EBjxBsM9FWJb+/xQmH94jJiQA9rW7oki/lSjQaaYswzw3tgHCnn76Rf6XeHp4pZynTcfaGYV7LUX+3ych7OktnPdqhLfRESneVgTA0/O5IejueWhZ5MGLMztxrE9J7G+TC959S+HJoW8zH7PYfqT/I1iVUQ2eB949L69F5tzpETWxv601jnR1xa2Vw/Au9vNLcYmIJbH0E9PU1ES9Bo2waeN6jBrrpcz82rBujQzq1G+geFHPli0bli5fqfLBVpR6FimQHyuWL8XU6bO+6jhEQG74kEH47fcOmLtgsUq5pbubC9asWiGzwpJTq1plleYPydl36N9PSlbT4qWfH1688MOwQQMwetx42Nnnxvatm9Hnzx5Q19BA23aqwTiRGbhj+1b5s5gjbvuuvXDJlw/pRRyb0K5Vc3Tu2h1jx0/EpYsX4DVmFEJCQrFk2QqV9URDiZat26D/gEFynrtRw4fi+bOn2H/4qMp29+/dg8YN6sqfxWOj318DMXCIanMKyrxEWWO9yqXlfGujerZLGN+7j0JDPSfqV/ZMGN9e/VXHd+miKNKgM1ZsO4CpA7/8Q6ggAkLDZy2XwaC5IxICvkXdnOBerzPW7DyMLi3qJHv7Wp2G4MTF1L8Y2Ld0IsoWK/DFx1mudR9cuXVf/uxgY4m9SyaoZLeJYJ4I5PVq1xBOdrmS3Y6uthb+bNsQZYq4QUdbU84PN2XpRpy6dAOnN86RZblfIywiEgOnLJaBt5rlSnz27cXjYOvc0fht4CR4Nk/4f7SsUwmzhnb/qmOjjKOmrom8Zerg5r9bUK7DMOX4vnF4E7Ln1IBzGcWYypotG+oOWqASIHMoXgmL25fCf3tXoWqPiV91HCIgd3TJKBSq2QY1+85ULhfllqIZw7UD61UCTx9b91d9PL2q+DIpJa2m/aMyT1t6E4G4w/OHysCXY6nqyuXZc6ij9cw92DqiNRb9ljD+PFr1Q+lWfb94f5d2LsXBOQOVpXBVuk9QluEKRtaOiAoLwptn92FknTA3ZnymZFRYsOI6NEhea+joq2xfBGmF6DDF3+nnlS2nJsyL1cKL09vh1HSw8rnB9+RWZM2hDrNiteTvWbJmQ8Guc1QCZMYFK+DEgHJ4dmwt8rX9urlLRUDu7gYvWJdvCdeOCY1g9B3ccbx/Gfge3yjnjkuOyPYLvH0m1f0UH7oVRvk8Pvv4YoJeIjrIH3fWj0HeZkOgaWqLF+d2yfnisuVQR65yCePvS/ie3Iws2dRg6VH/k/0K/83pApuq7ZG3+TA5p53P1il4GxWKAl1mf9V+iX5FrP+in1qLVq2xdvVKnDp5Ap5lyipLZWvVrgtdXV3lev8eOYwpE8fjxvVrCAxUzL8m2N3L/dXHILL5QkND0axFK5nRFc/axgaOTnlx6sSJFAN2s+ctRHh4WKr7Edv6EiIDSXR2XbR0Oeo1aCiXla9QEU+ePMFEr7GfBOzGTZiEvn8NwPNnz7Bo4Xw0rl8Huw8chrt74S/af1qOTxAZkcNHKebPEYFJsXzksCEYOnwk7OztZaaFUKZseUyfNVd5P/T09NGudQsZ9Ew8n52HZxmcOHMeISEhOPbvEcyaMU2W0g4bOTpd7gd9ey1qV5RzmZ26fAOeRdyUpbK1ypVQKYkUnVKnLNkoM+oCQxLGkt3jry9pE9l8oeGRaFazgsyEi2dtbgpHOyucunw9xYDd7OE9ER6h2jwlKY4pBNHSQgQtw8Ij8cj3JWat3Ca7rR5ZORXWFqby7zOWb0FUTCwGdEz5TXwhFwd5STznXOkirijXqjcWbdiFoV1bf/ExivMnAm0BgcE4vGKqDLZ+ie6jZ+Pa3YeYP7IXHGwtZVDRa8Fa9Bk/X55v+jG4VmmK6wfX49n1M3KutvhSWRFgEiWa8R5dOoZTa6fj1cObMugTT/+57Vcfg+/NC4iJCEP+Sk1UuqTqmeWSgaWn106nGLCr0Wc6YiNTzsITxHxyGUXcj53j/kBEcADazNong57x3sZGY8e4DoiOCEW9oUugbWSOZ9dOy/MrGlN4tEiY5/ZzuJRvACuXorITrM+Z/Tg4dyCyqeWQgVAhf6XGOL5yInZN6oqa/WZB29AMV3avlOc3PabaoB+bpWdj+J7YhKA7Z2HoUkoue3F6G8wKV4NaonLu1zeO48GOWQh7dhtx4QnPDRGmNl99DCKb721UGCxKN1R5blA3soKWhQMC75xNMWCX//fJeBed+nODyJL7EiIzT2y/QJelMsApGOX3RNSrZ7i/ffpXBezexUbjxdldMHWvLOfPU92x4r24yHR0ajxAsd98Hvjw4T3ubRyPPA37Q/MbnH+iXwkDdvRTE40JLK2sZFadCNiJzCwfn3uYOCWhscCVK5fRsG4tNGjUBD179ZFZY+KDYrfOfyAmOvqrj0F0UxWqV056olexv5Q45MmTppT4L/1wa2hkBNz3QcXKVVSWV6pcBYcO7JfBPB2dhDdA9rlzy0uRosVQo1ZtFCvkhnGjR2Lrjl1ftP9Uj89Q8WagYqWPj68qRgwdjNu3bsqAnbwfYr3KlVXXq6KYeP7mjesqATs9PT0ULlJU/lyhYiXkyJEDkyZ4oWPnrjA3N0+X+0LfVrliBWBpaoQNe47KgN2lG/fg88QXE/snfIAWZZENu49Eg6qe6Nmmgcwqy5YtK7qNno2Y2NivPoZXgSHyWpS/JsXEUDUT5GMO1hZpmldNHPPXEE0ihGIFnFG1dFHkq9leBummD+kmO8dOXroR80b2QkxsnLzEi46Jkw0bRAA0uTnk3F3ywNHWCpdu+nzx8YnnuM4jpuPY+avYPm8M8juqTm6dVvuPn8eW/d44uHwyShd2lcvEY0NPRxudh09Hx6a1ZKdZyvzsCpWBjrGFzKoTATu/O5dls4LKXRMyY17eu4qNQ5rBpVw9lGjcDZoGxrIr6Z5pvWTn0a8VEayYR3Ft36SD7pr6Jine3sBSPNZSH+AiGygjiHG2e3IP2Vm12YRNMLVXzY7/b+8aGSTrvvY/6JlZKxtUiA/bx1dMkAE2Tb2PPqCncQ69+Hn0HIpXRlx0FI4sHIYC1VrKgKFoTtFo1CrsntwNSzsqMg0NLO1Rpt1AHF8+XgYOBfX/Z9aJjLvE8/LFZ96p6ygy7ejnJrqP5jSwgN+prTJgF/zgP0S8eADnVqOU64Q8uoaLk1vDvERt2NXsjJy6xrL0+vqS/t+k0UFMqOK54fy4/5fgfiSn3qfzRiamZW6fpvf2X/rckEPbAOKrQGNX1aZTxgXK4fW1o3gbFY7sGtpftO2AywfxNjLkk3JYQZQdC0ZuqlNuGLuVw70NXgh/fpcBO6LPxIAd/dTEB8xmzVti+d9LMG3mHNnN1NjEBJUTdUDduW2rzHb7uHNoYOAb6Oun/GFbNFyIjYn55HaJxQeSli5fhbzOn3ZV1NZWndw5o0tiRTlrSg02YmJiVAJ2iYkgl6tbAdy6eeOz95v248uf4t/F3Hafs15yRPBOlEs+ffKYAbsfaXzXrIDlW/dj2qCuWL/nX1mSWdmjiEozCGsLEyyfoPimN15gcCj0dbRS3H7OHGqITRS8krcLCVX53VBfR5nBltf+0yw4bS3V5gffqyQ2MX1dbeS2tsCDZ4rJ5h89f4nomFh0GDLlk3WnL98sL5d3LELeVOaU+5ocmN5e87DlwHGsnzbsq+7nDZ/HyiBiUo0s7j58xoDdD0J8uBaZbf/tWYmqPSbJwJ2mvjFyF6uo0gxCzzQX6g1JmG5CiAoNlEGglIj50d7GxX5yu6RKLesOWggjG8VjKLEcmil/4M1sJbH7Z/XHraPbZHAsqf2JTq0iIBcfrItn4eSO92/jEOT78IsCdh+zyFtIZk9GhryW2XSCTYFS6Lr6stzH+/fvYJQrD85snC1LoM0dC6rOVff4DrQSHX/83HXGtl9WaUA/3nODZemGePbvGri084LfqS3IoWsE4wIJ74H9L+yBhrEVCnVXnY9ZZNqpJcrQTUpWtZx4/1b1vX1ceOAnATGhQNc50Lb8NAsum3rKzw3pXRKrnSsvgu8n32BDcf++LGAnshvVdAxhUqhSkvtNyTt2hSX6bAzY0U+vRas2mDFtCnb/sxNbN29Ck6bNVLqBRkZFInuibmXCkcOHZAfX3LkTSr+SYmNjKzO3Etu7WzXTrGQpDxnwevTwgSzR/VzpXRJbt14DrFy+THZYbdCosXL5oYMHYGtnB2Pj5L8ljIyMxOXLF1MNln2NqtVryMDo4UMHULN2QpbDoYP7ZZlMfJZc8RIlYWZujsOHDqJr94SyN5ElKIiMwJScOOEtt2drZ59u94XSpyx2xoot2H30DLYeOIEm1cshe/aEb6Qjo2M+6YZ65Mxl2cFVBK1SYmNhipv/DwDF2+t9TuX3kgXzQUdLQza7EMfyuTKqJDYx/zdBuPfoOVrVVTxniIwzERD8WI2Og9CqbmW0rlsZ1ubJZxJdvnkP9x77onE11W/y00p08V22dT+WjOuHmuU/f966xEQzDXlMt3yUZdLCpZuKjoIWpoZftX3K+LLYsxtn497pvbh9bAfyVWio0l00LiYSWT56/X508ajsKioytFIiglIiQJWYKNdMLFf+4jIoF/TikTyWz5WZSmJFN10R/KwzcAEcPRLmrUtMy9BUlq2G+D9TCdr53b0sr7WNUn7OTCsRxBRlzR8H/8RrsGEuB+U8e//tWQXXyk1lOa5gla8YNPSMcPPIZpWAY3wwN1f+lF/n6edh5dkYj3bPQ8ClA3hx9h9YlKyv8tzwLibqk+y019e9ER3oB02zlMvlNYxzIeyZaif5gMuqHeP1HYvJoFyk/xN5LJ8rvUtizYrWwPNj6/Dq2jFYlKitXP766lFomFh/WsqaRjEhr/D62jHYVPlNzkf5MZOCFWXAU6xjVriqyn6RJQv0ciuC70SUdgzY0U8vv6srChQshEED+iHA3x/NW6oGzapUrY55s2fJrqO16tTDndu3MHnieFlKm5rGTZth5vSpcMjjKINWJ7yPYduWzSrriLnyvCZORt9ePeHv/xJVq9WAjq4u/Hx9cdz7qCz1FNtJjlPe9P3GuFqNmihbvgL+7N4Fb968VjadOHLoIJYsS2jG0bNbZxgYGMoAmZGxMZ4+eYJFC+bB/+VLLF+1VmWbB/bvQ2REhCxXFU4e98ab169ldmPislQXR3vY2tp90hAiMSMjI9lAYuL4cdDR0UW5ChVx+dJFxfx6v7WXQUVBBGHHjJuAzh3by/siGo6IphOjRwxD+YqVlPsVzSZWr1why3lFZmV4WBgOHtiHZUuXoHPXbjAzU3zbTz8GUTopAk6Dpi5BwJsgZXfYeFU8isgOof0nLkStCiVx58FTWf4pSmlT07h6OcxcuVXOg+biYIsTF69h24ETKuuIUlGvPh3Qd+IC2Y22qmdR6Ghpwi/gDY5fuIqKJd3ldpKTUoOHb6F577FyzjlXJ3t5XKJL7Nw1O6CWPTt6tG6gzLhLLqvN1tJU5W+iI6ydlRncXRzlff/vzgNMX7YZucyN0al5wocCQatgTRnwWzw2+cnqRfbezBVb0bZ+VRlAPX8t4UOSyJZMHFQVmYivg0LkRbhy00d2CtbUyIlqnooP6nUremDUnJX4ffAUDO7cUt5ezGE3cfF6FHR2gId7+n25QN+eKNk0y+OGIwuGISIoQNkdNp5DsUq4sHUhDs4dBEePGjLT6vTa6bKUNjX5KjTA2U1zYWCVW2ZuPbl6CneO7VBZRwSVKnYag4NzBiA8MECWc+bU1EHY6xd48t8J2BcpL4OIyRHNFNLbbe+d8vrFvf/k9YPzh2UgTN/cBhZ53eWyMxtm4+ymOShYvRUMLO2UzRwEEeiKD24WqNoC5zfPx4ZBTVC6VT9oG5nJOQTPrJ8FJ4+acu6+eGv61kHIy6fovu5qssd2edcK+N2+ALvC5aFjYikzGEXg9c7xf1Cp8xiVAMvRpWNkJp049kDfBzi7cQ6yqamhQscRynVEJ9ly7YfITEEtQzPYuZeV5b1X969F9V7TVLZHPzfRmVXH1hW314xCbMgrWHqqlqaKBhOP9y+R3UlNi1RDuO89PNg5S5bSpsaiZD083DNflq2KjLHAW6dlw4bExFx5zi2H49bKobIbrQhUZdfQQXTQC7m+sWtZWJSql+w+ksrK+5ZE9pthvtK4uWwA4sLeQMPUFi/P7ZJBy48bP+xrZSHLWwt0Sb3JnihDFg08kiqHFXLoGCJ3nZ54sGOGLLkV8+aFPLyK+9tnIFe5FtA0+fzu70S/Or6y0S9BZLYNHtAfjo5OsjtrYlWqVsPUGbMwZ9YMLP97KfLld8XfK1Zj8gSvVLfbf+BgBIcEY9qUSYgID0e16jXx98rVKFe6pMp6Hf7oDKtc1pg1fapseiGaT4iAYGnPMnAr8H2/bRLfaG/csh0jhw3GONF5NTgYTnmdsXLNepVAYtHiJbBy2d+yvDgiIkIef7HiJbFwyTLky6/6Ibh3z24yoBfPa6yikYMImiUOzomgnplZ6vPFDR42Ato6OliyaIFsDmFuYYG+/Qd80tW1ddt2skxy+tTJMihnYGiIFq3bYPTY8cp17HM7yIYVY0YNl/ML6unrI08eR1my3KTZ13XNou9DZLYNnrZUzqNW1E01wF2ldBHZCXbO6u1Yvm2/7D769/j+mLxkQ6rb7d+hKYLDwjFt2WZEREajmmdR/D3+L9lxNbEOTWrCytwEs1ZslU0v3r57LwOCYg41t+88X5qYs27bwROYvXo7YuPeIpeZsQzAiftmY/n5wWlx/jbv88bC9btk9qK5sSHqVSqNod1awUg/ocxInC/BzCjlOaUOnrwor1ftOCgviX0c7PNasEalfHjRxt3yYmNpitv7FN2i9XS0cHTVNIxbsBaTlqyXcwyK/4XYlgjgJTcPH2VeIsPqyMLhMMyVR3ZnTSx3sUqo0mMizm+ZL7OxRNfTuoMX4tTahHlqk+PRsg+iw0NwZsMsxEVFwKFEZdQdshAruqvOl1q4zm/QNbWSASSR2SU60YqAoI1bKZg6KOZJ/J62j1FtDHVglqIrtlvVFqgzcJ78+cF5RXaQCGyJS2KJ19O3sEXbOftxfMVE/Lt4FKLDg2WQzqNlb5RsqtqwJS46UmbkpcQ0twt8Tu/FkUUjZAdXDVG2aOuEZuM3wqGE6nkWAdlD84bIMlktAxM4la6Fsu0GKcuS4xWuo7i/IrAosi/1TK1R7c8p8v9EvxYrz0a4s3a0bPIgurMmZlKgAlzajsPjfYvw7Oha6FjnRcFuc/FgR0K35+TkrtsTcZEheLhrruwGa1KwkrztmRE1VdazqdRWNpl4tHs+/E5tw4f3b6FuYAFD55LQsVWdHzKjyQqUPstlowefrVMRFxkqg4SFeixUCSS+jVZk+OfUT3ksx/M9sRnauZyhZ5/81BV5GvZFdg0tPD28Eo/2LJTbzl2nOxzqf1nTGqJfXZYPaZnxkigT27JlC5o0aQK/V0GykQAlTTS9sLaxxYLFS2WDiu/ddc3n3j0UcnWG96mznwRRMwsxp92Tx4/h5uKIhUuXoU1b1Q8EosOspYkBNm/ejMaNP78kgj5jfJ/cLIMxlDTR9EJ0fF0wqrdsUPG9x/fh05fR5M9RuLFnGazMUp58+7uOb78AuNXugIVj+qBNPdUAQkhYBCw9m3B8Z8D47rvzMdS1U55X6lcmstlEYKrWX7Nlmd/3Ht+xURGYXs8edYcsQr7yikzdzEYEVkP8n2JBmyKo/ddcFKjeUuXv0eGhmF7PjuM7E+jRowfW7fVGyXGqZaeUunPjGsoSXtc/pn/Rc4Momb00rR3KTT8DDSPLDD3loruumMfvwoSmnzVX39lhVdCyZjnMnTs33Y+RKDPgV81Ev5B1a1ZBTzNHmrIH09vJE96yM21mDdYJJvraMlhH9CNYt+sI9IrUSVP2YHo7eem6zGrLrME6waRkQxmsI/oRXD+0AROrmqYpezC9+d48DwMre7iUTb7k73ubUiuXDNYR/exE1tuBttZpyh78WNCdM8hVpkmGB+tiggPkMYtgHRGljCWxRL+IxM0rLCxTn58vvbXv8Ie8ZGZHjp/Ch/fv5c9sRkGZWeLmFRam3z9INqpnO2R2R1ZNSxjfVqmX5hN9L4mbV6Rlfr70Zl+0AjovV23Ak9m0m70fHz4oxreeecpNBoh+VImbV6Rlfr6POTUdjO9BdJn1GLvvq5trEP0KGLAj+kWkd/OKn5G7e+HvfQhEaZLezSt+Ru4u/IBAP4aMaF7xszF3YjdK+vmld/OK9CIaxOjlLvS9D4Poh8CSWCIiIiIiIiIiokyEATsiIiIiIiIiIqJMhAE7oi/suNqpQ3ueu290nsQ6Yt1vZfWqFSiQz0k22HBxtJfLoqKi0LF9O9hamkIrR1Z4jRn1zfZHP3f31U7Dp+NXoVWwJlbv/PxOfaLh/IApi5G7UitoF6qVLufsia+/PL7jF64pl81dswO7/j39zfdFP3fH1V2Tun/vw/hpzpNYR6z7rVzbvw4L2haVDTbmtVSUtcbFROGfiV0xo6EjxlcyxPGVE7/Z/ujn65p6bWGv730YP815EuuIdb+V594b4d3XA/vbWuNYr2Jy2bvYKFxd0BOHu+THvlYW8Nk69Zvtj+hnwDnsiCjdzJg9Dzlz5szQM+zv748eXTqhecvWWLhkGTQ1teTyJYsWYNOGdVi0dDkc8uSBlRXn/CL6Vv45chrz1uzApL86oZhbXpgY6mfIyZ23dgfKFC2AOhU9MmR/RL+Kan9OQfYcGfv6HR4YgL3Te8O1chPU/msu1NQ15fLL/yzDzSNbUGfAPNmdVsckYztaEv1s8v02AVnVMnZ8x4S8wo2/+8OydCO4dZ6BbDkV4/vp4ZV4cXo73DrPhKaZPdQNv39jHaLMhAE7Iko3LvnyZfjZffjgPt6+fYsWrVrDo7SncvndO7dhYWkplxPRt3X30TN53a1lXWTNyuR9oh+diZ1zhu8zyO8h3r97C9cqzWDtVlK5/M3Te9AxNodrlaYZfkxEPyOdXBnfiC7y5SN8ePcWVp6NYZi3hHJ5uK8PchqYyeVE9CkG7IiScPW//2TJ5OlTJ2QppZ2dPX7/oxO690w6ffz5s2fwGjsKJ08ch5+vL4xNTOBRugy8JkyCpZWVcj2fe/cwfMggnDlzCmGhoTAxNUWxYiWwYs06ZM+eHeHh4Rg5bDB27/oHAf7+0NXTg6tbAUyfOQd5ndP/zXN8WWqXbj0wZuRwPHr0EI5OeTFh8lRUqlxFud6pkycwe8Z0XLp0AUGBgbCxsUW9Bg0xcMgwaGhoqGzPxtYOi/9erlzmfewoBg/ojzu3b8lz06ffX2k+vnt378rzd+L4McTExMCtQEEMGT4SVatVV5bWrl29Uv5cq1pleT1k2AiMHzdGuQ1RDivcuvcQtnZ2X3G26Gdw9c4DeC1Yi9OXbyAqJhZ2Vmb4vXENdG9VP8n1n798Jdc/eek6/ALewNhADx6F88Or9++wNDNWrufz+DmGz1yOM//dQlhEpMw4E5lnKyYORPbs2RAeGYWRs1Zg97GzCHgTBF1tLbg62WP64K7Ia2+d7vf7/fv38n4s37YfoeGRKOrqhOmDuyW5rihBnbBoHS7duCd/F/d3Qr8/4OJgI393qfEbnvoFyJ913GvL631LJ6JMUTcMm7kMR85cwePnL5AzhxryO9pjVM92KF4g4flMlOB2GTEDEVf3quzXa8EarPnnMG7vW5HkccXvd+0/h+VFGNKlJYZ2ZVD+V+Z//7osmXx2/QzexkRDz9wG7rV/Q/FGXZJcPzTgOU6snISn104j7PULaOobwdqtFCr+MUolk+vNs/s4umQ0nt88h5iIMGgZGMPSuQjqD1sqOx7GRoXj6NKx8Dm9FxFBr5BTSxemufOjas9JMLZxSvf7HV+WWrT+H/Be7oXgF09gmCsPKncZC/uiCVNOPL12Buc3z4Pf3SuIDguCrpk1nMvUQenW/aCWU0Nle3pmNqgzcJ5y2eMrJ3Bk4XC8fnIXOsYWKNnszzQf35tnPji6eDSeXD2Jd3GxMHXIjzJtB8KheGVlae31g+vlz+v6K55/PdsOwMlVk5XbEOWwQre1/0HfXPH8Q7+W0Mc3ZMlk0N1zeBcbDQ0Ta9hUagO76n8kuX7UG1/c3zoNgXfOIDrwJXLoGsIgbwk4txiukskV8eIB7m4Yh6B7F/A2Khw5dI2g71AYBXsskOP7bXQE7m0cD/9L+xET8hpqmjrQsc6HfL95Qdsy/bs4x5el2lb9Hfc2T0JkwFNoWzjAudVIGLuVU64XeOcsHu1diJCHVxEXHgwNYyuYF68Fh/q9kS2Hhsr2NIytUaDLLOWyNzdP4c66Uf8PoJkjd+2k3xMkJdzvvjx/gbfP4H1cLHRs8sGxUT+YFKyoLK31PbFJ/nx+fBN5nadhP9zfNk25DVEOK5SbeR6aJun/PojoR8GAHdFHLl44LwNNeRydMHnaTBlUunf3Dh4/fpTsuXr1KgB6+voYN34SjIyNZdBu1oxpqFTeE1eu34a6urpcr1H92tDXN8CsOfOV6x3Yv09+eBYG9u+DPbt3YfRYLzjkcUTgmzc4ffokQkKCU/w/vXv3Ts4hleqAz576kL937y6GDh6AocNHQU9PD7NnTkfj+nVw5sIVOLu4yHUeP3qEosWL47ffO0BLWxu3b93EBK+xePTwIVauXZ/8tu/eRf3aNVC0WHGsXLNeBt3Gjx2N8Ihw5M7tkOJxvfDzQ5UKZWQQc/qsudDV1cXCBfPQqF5tbN25WwbtBg0ZhqLFiqHPnz0wY/ZcFHIvLEtfq1Srjonjx+G/K5exYfM2uT1zC6bc/+ouXr+L6h0HIY+tFSYP6AxLUyPce/wcj339k73Nq8Bg6OloYVzv32FkoCuDdrNWbkOl3/rjyo7FUM+ZQ67XqOco6OtoY9aw7jDS14NfwGscOHER7z+IsZ4NA6csxp5j5zC6Zzs42FoiMDgMp6/cREhYRBrGeur3TQQFUyICcJOWbECvdg1RoYQ7Lt+8h6a9Rn+y3v7j59G09xjUKlcSyycOkM9V05ZtRtX2f+Hc5nkySLl++nAs3rgLK7cfxNHVirnrnHPbyHX9Xwehd7tG8txGREZh3e4jqNp+AE5umAXX/88v+aXEfhv2GIFCLnkwqFMLucwqUdCUfj1+dy5hTd+6MMzlgCrdJ8ig0punPgh++STZ20QEv0ZObT1U6DQKmnpGMmh3btNcrOpVA51XnEP2HIrX701Dm0NdWx/Ve02Fhp4Rwl+/wP1zh/BBvH5nAw7PH4p7p/ejfIdhcv9RoYF4dv0sYsJDUjzm9+/eiVkgU71vImiQGhFU/HfxSJRpN0gGDMUY3TSsBTos8oaxrSKjJuTlE1i6FEHBmm2QQ0MLrx7fwcnVUxDk9wgNhv+dwrZ9sHFwE1jkLSyDlO/iYnBi1STERkXAwDLlsSzO6apeNaGupStLbXNq6uDiziXynDb12iCDdp5t+sPSuTAOzP5LrmPuWEAGTB2KVcLJNVPx0ucaGo9eJbenbWiW6rmgn0/wgysy0KRl7gCXNmNkwE0EiqJePU32NrGhr5FdUxd5WwxDDm1DRAe9xKM9C3B2dF2UmXIC2f4/vi9OaQM1LT3kbz8RajqGiAl8iVdXjwDyNRu4vXoEAi4fhFOzwdAys0dseBCC7p5HXERoisf84X3a3p+nZXyLoOKddWPh2Ki/vE8iMHdxalt4jj8EbSvFlwLiXIhAo3X5VsimroXw53dxf/t0RPo/QaGeC5PdtjiPFya3hL5DIRTqsUAG3Xy2TcW76EhomtmmeFzinJ4dUw9qmrrI99t4ZNfQwdODy+Q5LfrXahm0c2jQB3oO7ri1YrAsx9W1c5P/P+MCFfBgxwyEPr4O997L5PZy6pumei6IfiUM2BF9ZMjAv2SG3NETp5XZYuUrKL4hSo574SLykvhDdSmP0nDOY4eD+/ehbv0GeP36NR7cv49NW3egVp26ynWbtWip/Pnc2bPy93btOyiXidumxtU5D54+Sf4DSby0ZJX5v3yJk+cuwt29sPy9QqXKsnHDpAleWL5qjVzWqk1b5frijYgoPdXR0UWnDr9h+uy5MDIySnLbImgmAm479+yHpqZi7oqSpTzk8acWsJs9azqCg4Phfeoc7OwVHw6q1aiJIgXyY+yoETJgl9vBAc7PFWW4zi75ULyEoqTGKlcuGBubyPn04pcRDZm+FMYGuji6aho01BVzuZQvUSjFE+Oez1FeVMZ6oXxwrv4bDp68iLqVPPA6KAQPnvph06wRqFU+4fHWrGZClsu5q3fQrGZ5tGtYTblM3DY1rrU7KLPZUnJr73LYWiX9oTY4NByzV21Hp6a14NVH8VxT2aMwsmXLhhGzErJhhb8mL0L54oWwfsYw5TIxZ5xb7Q6Ys2YHJvTriEIuDspAWeLMOWGpV3+Vc1WldFEUadAZK7YdwNSBSWc8pZXYr8jaE1mOH++Xfk1HFo6QQbd2cw4os8Xs3MumeBsLp0LykjiAlit/CcxrWQAPzh9GXs/aiAx5gyDfh2g8di2cPGoo181fKaGE6/mtC3Ct1BiFarZRLhO3Tc2CNoUR4q8oKU9JWrLKIgL98fuCozB3UjRrsC9cDvNaFcKptdNQb8hiucytanOV129ReppTSwe7JnWTgTJNPUUW28dOrp4qg4AtJm1Rzi2XK39xzG9TJNWA3fkt82Xgsv28w9C3UHz4dyhRBYt/L4XjKybIgJ3YRnxQUVxb5VNMSK9rYgVNPWNkV8uhXEa/pjtrRyOHjhFKjd6lzBYzyp8w9UlS9OwLykviAJqBUzHZ8ODV1X9hXqwmYsPeINL/EQr3XQGzIgmvyZalE5otBN+/JH+3Lp/wnl3cNjXefUoi6vXzVNdLS1ZZTHAAPMYdgJ59Afm7sWsZHOtdHPd3zESh7vPlMqsyTVXGt0He4siuoY1ri3rJYFoOnaTHtwiaiazBYgPXK+eW03cqCu8+pVIN2D3euwhvI0PhMWYfNE0Vz1GmhSrhxIBy8NkyWQbstMzsEP3/oKIILho4Kj4zaRhZyv9p1uw5lMuISBUDdkSJREZG4szpU+g/YJBKaWdaiKYGSxcvwqOHDxAREaGSsSaIIJZ97twYMXSwzMgrU7a8bH6QWJGixbB21UoZXBIlqAULucsP0anZvO0fxMbGpLqemMMtNeIY44N1ggis1ahZS5b7xgsNDcXkCV7YsX2rLAeOi4tT/u3BfZ9kA3bnz52R24oP1gm5rK1lcDO1byBPnTgh14sP1gni3DRp1lxm94lzrqWlaDBBlJrIqGic+e82+ndoogzWpdWSTXuwdPNePHr2AhFR0crlIjtPMNLXhX0ucxn8Ehl5IsDlYKM69orkd5RlnMaGeqhU0h0FnR3SNtZnj0RsbMJ4S46FadJvyoWb9x/LktyG1cqoLG9SvaxKwO7+E188fPYCgzq3xNu3IgtIQVtTAyUKuuDUpRupHse/Z69gypKNuOHzCIEhYcrldo99U70t0eeIi46U5aqlWvRRKe1Mi0v/LMOVXcsR5PcYcdERKhlrgoauIfQt7GRJbGTQK9gU8oShVW6VbVjmdce1g+uhqW8M+yLlYZanALKmYUw3GbdeZqulRsfIPNV1xDHGB+sEEVjLU7Iqnl5N6KQcExGKU2un487xfxD6yhfv3yY8nwT5Pkg2YOd764LcVnywTtA1zSWDm6llCIoy3FyuJZTBOkGcm3wVG8rsPpGlJ7L9iJLzLiZSlqs61O2pUtqZFk8Or8SzI6sQ6f9Ybidxxpqgpm0IDVNb3N3gJTPyDF08oGWuGoTWy10Ivsc3yeCSsVtZmSGWJWvq47tIv1V4/zb18a1ukHrWqDjG+GCdIAJrJu5VZBlqvLjIMDzYOQsvz+9G9Bs/fHiXML4jXj5KNmAX5HNJbis+WCf3Z2Qlg5upjW9RhivWiw/WCeLcWJSqL7P73kZHInui5w0i+jwM2BElEhwUJMu4REbW51gwbw4G/dUPAwYNQanSnrKUVGynvGcpxEQrPtBnyZIFu/YehNfY0TJo9+bNGxkc69t/AH7v2EmuM23mbJiZmWHVimUYNXwoDA0N0aptO4wcPS7FAKJo7vCtSmJNTD5NRTc1NZMlqfG6dPwdZ8+exuChw+GSL78MwIlSYlGKGv3/+5sUsQ2xraS27+//MsXjCgoKhH0SWXhm5ubyvocEBzNgR2kmsszkWDf9vBLKBev+waBpSzCgYzOUcs8PPW0txVhv0xcxsbEJY32Rl5wjbsSsFXgTHCoDeH3bN5Hz4wnTBneFmbEBVm0/iFGzV8JQTwet6lbGyB5tUwwguuS2+eqS2BcBb+S1qZGByvKPfxfBRqHTsGny8jFxn1Jy5fZ9NOw+Eg2qeqJnmwYwMdRDtmxZ0W30bOW5IvpWosOCZXmq7md2EL2wfTGOLBgGj1Z9Ye0qss108eHDe6zsURVvYxNev1tM3iZLQI8uHSPLXUVwrFTzP+X8eIKYq07L0AxX963Bsb/HQkPHAG7VWqDc70NTDCAqssq+Tcmclv6nz2daBqYIf5Pw+rp7Sg88v3kBnm3+ko0lxLH53bksS1HfpvDFn9iG2Nan2zdBRFDKWb9irjwDy0+z+2Vp64cPMvuOATtKSVxEiCxP/dwOoo8P/I07a0fBoV6v/2eb6crtnBlZC+//HygX47v44I1ybjwRtIsLD5LBsdx1usOmoiJjNl87L+TUM8Fz7/W4t2kC1LQNZDabU9OBKQYQtXM5fbOS2Jy6xkkuiwlKmMbj+uLeCPa5CIcGfaFj5YRsOTUQ/OA/WYoaf3+TIraR5Pb1TBATkvL4josIhqaZXZK3FeP7bWQIA3ZEX4EBO6JE9A0MZIdDMbfc59iyaSNatm6DoSNGKZc9fKD45i4xEaBbunylfPG+dvUqFi2Yi57dusDWzl5m1Glra2OM1wR5ESWu27dtkcE99ZzqGDXWK0NKYkX238cCAvyV2XkiILd7104sXLJM3ud4169dTXX/YhtiW0ltPzUGBobwf/kiyRJe8WZLzCFIlFb6utqKsf41UzTOAAAQzklEQVT/4FVabTngjZa1K6k0NhBZaB+zz2Uhy0HlWL/7EIs27ELPsXNkmWqlUoVlltqYXu3l5amfP7YfOoURs5fLOfBEU4b0LIm1MFVkwIpmF052CV9OiN8TM9TXldfj+vyOcsUSvtWPlyOHWorHsPPwKVhbmGD5hAEqywODQ6Gvk5BNo55DMe9fTGycLHFNWC8hI48oNeo6+siSNSvCXid8uZQWt49ug1uVZijbbpBymZjP7WMi4FR30AI5pgMe3MDFHUuwb0Zf6JvbyqYOOTS0UaHjCHkRJa53vHfK4J6YA0/Ma5chJbHBrz9dFhQA7f9n54kA5L1T+1B7wFx5n+P5P0g9W1ZsI6nAnGiwkRp1HQOEB376Oi+XZcki5xAkSomYXw5Zssr50j7HizM7YeXZRM77pnzM+j/+ZD1NU1sU7DpHju+wJzfx5NBy3Px7ADRNbGRTh+zqWsjbfKi8RL16hpfn9+DuRi9ky5ETTk0HZ0xJbOjrJJeJDquCaMIRcOkA3DrNgFUZRWMHIfTprVT3L7aR5PZDUh/falr6iAn2T/q2WbIguybHN9HXYMCOKBGRKSbmY1u/bg0GDB6qbBaRllJaNTXVD68iSy45IsBUsFAhTJwyHSuXL8OtmzdUurAKNra26NWnHzauX4dbN29mWEmsaBxx5cplZVmsuG/79u5BpcpV5e+iUYSYiyrx/RVvcFavTLqTY2IlSnrIbYltxpfFipJaUYYs5rJLiWfZspg/Z7YMTIpzI4jj2Lp5k5w/kOWw9Dk0NdTh4Z4P6/f8iwF/NFc2i0hNZFQM1D7KXlu142DKY93ZARP7d5JNGW7dfyIDdonZWJrJ5g8b9x6Vf0/vktj8eexkwHDbgRPwLOKWsO39CWXvggjm2Vqa4c6Dp+jzW8JcXWkVGR2D7B+VBB45cxm+/q+R2zohS8LGUpG1c9PnEQrnV8xxExf3FodPX0p1HznV1BATw2w9UpR/5nItiRuHNqF0q37KZhGpiYuJQtbsqq/fV/etTXFMm+VxQ+Wu42Q23avHt1W6sAp6ZtYo0bQHbhzZIv+eUSWxwS8e4+W9q8qyWFEmfP/sQdgXURzf29hYOYdX4mwe+aXCgXWpblvMVye2JbYZXxYrOuyKMmTxt5TYFPTAhW2LZGBSnJv4uQJvH9su5w9kdh2lRpRqigw5v5NbZLZcfLOI1LyLjUKWj7LXfL3Xpzi+de1c4dxqFJ4fW4ew53dUurAKojOtfa0u8Du9FWHPFNPeZERJbFTAE4Q8uqYsixXlva+uHFIe3/u3ivGdJdHzmRjfvt4bUt22gWNRuS2xzfiyWNFhV5QhGzgVTfG2hi6l8Hj/UhnIFOdG7vf9O7w4u1MeK8thib4OA3ZEHxk/aQqqVSqPimVLo2evPrJLrJiXTTSM8Jo4OcnzVaVqNcybM0uWh+Z1dsHhQwew559/VNa5fu0aBvTrjUZNmiK3Qx4ZbFqzaqUMfJUtp3gzXaGMB2rWrgNXVzfZffXkcW+Zudau/e8p/p9c3RI+dH8tUWLapkVTZZdY0e1WlJuKcl9BLBONG0aNGCozlETgbfnfS1MtaRUGDh6KbVs2oV6t6vizd19ll1hTs9TfqPT8s4+c3692jSry2ESX2EUL58PH557sEkv0ucb37YhqHQaiYtt+smRTdDIVzSIePPNTNmP4WJXSRTBv7U64ONgib25rHD59GXuOJswfI1y/9wgDJi1Co2plkNvGEu/evceafw5DLXt2lP1/plqFNn1Rs3wJuOaxg5amBk5eui5v166BIjCenK/trBqfXfhn2waYsGi9DFxWKFkIl2/6YOX2A598cJk+pBua9R6D6Ng4NKziKbPu/F8H4uzV27Iktnur+snup4pHEcxbswP9Jy5ErQolZeBv8tKN8jwnViS/kwzgdR89G8O6tZYlxos27kbs27ep3hfxPzhx6ToOnLwAEwM9WJgYKTMI6ddTqfMYrOlbByt7VkeJxt2gbWwh52UL8n2Eip0/7YIs5C5WCRe2LoSxnTOMbZzw8OK/8Dm1T2WdgAc3cXDeYOSr0EA2RxAfRq8dWC8DfbaFFHNBihJaR48aMLHPJwNQT6+dQsDDGyhYIyEbNymmuRWNkr4FUZK7bUx7mS0oSnvPbp6L6PAQlG7VV/5dXVsXVi5F4b1snMxGVMupif/2rkJEYOpZu6Vb98Nt7x1YP7AxSjTpruwSK0piU1O8UVd5vtb91UAeWw5NHVzauRSBzx/ILrFEaeHcciTOjWuAs6PrwK5GZ6gbWCDC/yEiXz6Gc8vhSd7GpEB5GUzSzpUX2laOeH3tGPwvqb7WiQy026uGw6JkXWiaK8a3mK8uSzY1GLmUluucGVkbpoWrQsfaRXZfFfPGhT65hVzlEppQJEXHxuWb/XNF99QrszsldInds0B2qRUBTEF0adXPUwT3Nk5AlixZZanus6Nr05Ql51C/N16c24ULk1rAvmYXZZdYWdaaCrsanfD8+Eacn9BMcWwaOjJDMeLFQ9klloi+DgN2RB8RjR8OHTshO4/27dVDNlSws7NHx87JdzQcPGwEQkKCMdFrrCwZ9SxbTnZCzZ/XQSUQlsvaBnNmzoCv73OZvZff1U0Gm0S2nVDaswy2bdmM6VMmyYCenX1uTJk+E527ds+w/5OTU1507d4To0cMw6NHD5HH0QlbduyCs0vCm44Vq9ehV89u6Na5I9Q1NNCocRP83vEPNKpfJ+Vt582L7bv2yk68bVs1l8FQMYef6I779MmnJQofZwceOnoCw4cMQu+e3WSwr0DBQvL8iQ6xRJ+riKsTDq2YgrHzVqPvhPmIe/sOdpZm6Ni0VrK3Gdy5JULCIjBx8TpEx8TBs4grdi4Yh/y1EoLqZkYGyGVhgjmrt8M34A3Uc6ghv6Mdts4dJbPthNKFXWWG2/Rlm2VAzy6XOaYM6IzOzVMeQ9+KuB/v33/Asq37sWD9PyjmlhebZ49C0Yaqz3PVyxTDwWWTMXnJBnQbNQtRMTFy7r3iBVzQtEb5FPchgpuiE6w4D8u37Ue+PLb4e3x/ua2P59vbOHOE/B+0HzQZBno66N6qHsIKRcpAZ0pG//kb+oyfj98GTkJoeCSGdGmpUq5MvxZL58JoO3MvvFeMx4E5f+Hd27eyjLRw3eS/9BJzuYmglmh+8C42BjYFPNB80hbMb+2uXEfL0BR6prlwfvN8hL72Q/YcOWVgrpnXBpltJ1gX8JABrTMbZuL9u/eywUKV7hNQtH5HZBQj6zwo2qCTDMgFv3gCw1wOaOq1Xtl9Vag3bCn2z+yHvVN7IXtOdbiUqw/3Wu2waWjzVLbtiGYTNslOvDvGdYCOsQVKNuslm1GE+D9N8bZi3baz9uLo4tHYP6ufzPQzy+Mqg3WiQyxRWug7FELJETtl59FbK4bg/bs4WbJqUzn5aSTyNOyLuMhQ2fxAzOFm6FxKdkL17iOapSjk1DOFhrEVHu1bjOhAP2RTU4e2tbMMNolsO8HAuaQMaD3cNVcG9EQJbb62Y2FbtX2G/fO0LBxgW60D7m2aiMiAp9Ayz40i/VfJrqvxCvZYgJvLBuL6kr4yC9G8RF1YV2yNS1MTprBJirZlHhQbsBZ31o3GlTldoG5gLufwC/a5hKjXKZfsi3XF/+XuhnG4uXyQzPTTsckvz5/oEEtEXyfLh7TMhEmUiW3ZsgVNmjSB36sgmf1FX656ZUWm3/7DR3ka0yAkJASWJgbYvHkzGjf+/JJB+ozxfXIz9BLNe0aU3kRg1tKzCcd3Bozvvjsfy+wv+nIis1BoPX0XT2MaRIeHYno9O47vTKBHjx5Yt9cbJccd+t6HkmmdG9dQXpcYtg2/urPDqqBlzXKYO3fu9z4UogyRNWN2Q0RERERERERERGnBgB398MQ8S4KY94goI8U/5uIfg5SO4/sDxzdlrPjHHMd3+ok/tx84vimDxT/mOL6/P/k/4HMApdWH9xy39EvhHHb0wxPNB4Q3r1/DwMDgex/OD42lsJ9HPOYElmJnwPgOCoWBrk467olIlXjMCRzf6T++o0LeQENHnw/Br8BS2M8jHnMCx3fmeB6IDQuUHU0ZQE0aS2EVxGNEPFY4bulXwgw7+uEVK1ZMdlo9eEC1qxtRejuwfy9y5MghH4OUzuP75EWeYspQovMsx3f6j+/samp4cD7l5iJE39r9c4egxtfvTMHT0xMRb14i7Nnt730olMmFPb0lHyviMUP0q2DAjn54+vr6qF69OmZMm4KHDx5878OhX4R4rM2cPhXVqlXjN33pPb6rVcOMlVvx8NmL9NwVkZJ4rM1cuQ3Vqlbl+E738V0d5zfNQZDfIz4CKUOIx9qFzXNRrSpfvzODSpUqQd/AEHfXjMS7mMjvfTiUSYnHxt21o+RjRTxmiH4V7BJLPwU/Pz+UL18eAQEBqFOvATw8PaGlqcXUevrmqfgRkRE4ffIkdu3cDlNTUxw7dgyWlpY80+k9vsuVQ4D/S9SpUBIehV2hpZGT45u+/fiOisHpyzew6+hZmJqZ45i3N8d3BozvsuXKw+9lABxL14S1WymoqWuKia3Se9f0K/nwAXHRkXh2/Qx8Tu2Fpbkpjnvz9Tuz8Pb2RvUaNZFdxwgmxepAxzovsqqpf+/DokzgfVw0wp7dxasLu/A27A3279uLcuXKfe/DIsowDNjRT+Ply5eyxffmzZtx796973049BNzcnJCkyZN0KNHD5ibm3/vw/m1xvemTbjn4/O9D4d+Yk6OjmjStCnH93cY3xs3bcZ9H75+U/rJ4+iEZk35+p0ZXblyBQsXLsSWbdsR+PrV9z4cykQMjU3QuGEDdOnSBe7u7t/7cIgyFAN29FOKi4tDVFTU9z4M+glpaGjIOdXo++H4pvTC8f39cXxTeuH4/nFER0cjNjb2ex8GZQJiLll1dWZb0q+LATsiIiIiIiIiIqJMhE0niIiIiIiIiIiIMhEG7IiIiIiIiIiIiDIRBuyIiIiIiIiIiIgyEQbsiIiIiIiIiIiIMhEG7IiIiIiIiIiIiDIRBuyIiIiIiIiIiIgyEQbsiIiIiIiIiIiIMhEG7IiIiIiIiIiIiDIRBuyIiIiIiIiIiIgyEQbsiIiIiIiIiIiIMhEG7IiIiIiIiIiIiDIRBuyIiIiIiIiIiIgyEQbsiIiIiIiIiIiIMhEG7IiIiIiIiIiIiDIRBuyIiIiIiIiIiIgyEQbsiIiIiIiIiIiIMhEG7IiIiIiIiIiIiDIRBuyIiIiIiIiIiIgyEQbsiIiIiIiIiIiIMhEG7IiIiIiIiIiIiDIRBuyIiIiIiIiIiIgyEQbsiIiIiIiIiIiIMhEG7IiIiIiIiIiIiDIRBuyIiIiIiIiIiIgyEQbsiIiIiIiIiIiIMhEG7IiIiIiIiIiIiDIRBuyIiIiIiIiIiIgyEQbsiIiIiIiIiIiIMhEG7IiIiIiIiIiIiDIRBuyIiIiIiIiIiIgyEQbsiIiIiIiIiIiIMhEG7IiIiIiIiIiIiDIRBuyIiIiIiIiIiIgyEQbsiIiIiIiIiIiIMhEG7IiIiIiIiIiIiDIRBuyIiIiIiIiIiIgyEQbsiIiIiIiIiIiIMhEG7IiIiIiIiIiIiDIRBuyIiIiIiIiIiIgyEQbsiIiIiIiIiIiIMhEG7IiIiIiIiIiIiDIRBuyIiIiIiIiIiIgyEQbsiIiIiIiIiIiIMhEG7IiIiIiIiIiIiDIRBuyIiIiIiIiIiIgyEQbsiIiIiIiIiIiIkHn8D65xi1CfadMuAAAAAElFTkSuQmCC", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "loan3000 = pd.read_csv(LOAN3000_CSV)\n", + "\n", + "predictors = ['borrower_score', 'payment_inc_ratio']\n", + "outcome = 'outcome'\n", + "\n", + "X = loan3000[predictors]\n", + "y = loan3000[outcome]\n", + "\n", + "loan_tree = DecisionTreeClassifier(\n", + " random_state=1,\n", + " criterion='entropy',\n", + " min_impurity_decrease=0.003\n", + ")\n", + "\n", + "loan_tree.fit(X, y)\n", + "\n", + "plt.figure(figsize=(16, 8))\n", + "plot_tree(\n", + " loan_tree,\n", + " feature_names=predictors,\n", + " class_names=[str(c) for c in loan_tree.classes_],\n", + " filled=True,\n", + " rounded=True\n", + ")\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "node=0 test node: go to node 1 if 0 <= 0.5750000178813934 else to node 6\n", + " node=1 test node: go to node 2 if 0 <= 0.32500000298023224 else to node 3\n", + " node=2 leaf node: [[np.float64(0.785), np.float64(0.215)]]\n", + " node=3 test node: go to node 4 if 1 <= 10.42264986038208 else to node 5\n", + " node=4 leaf node: [[np.float64(0.488), np.float64(0.512)]]\n", + " node=5 leaf node: [[np.float64(0.613), np.float64(0.387)]]\n", + " node=6 test node: go to node 7 if 1 <= 9.19082498550415 else to node 10\n", + " node=7 test node: go to node 8 if 0 <= 0.7249999940395355 else to node 9\n", + " node=8 leaf node: [[np.float64(0.247), np.float64(0.753)]]\n", + " node=9 leaf node: [[np.float64(0.073), np.float64(0.927)]]\n", + " node=10 leaf node: [[np.float64(0.457), np.float64(0.543)]]\n" + ] + } + ], + "source": [ + "print(textDecisionTree(loan_tree))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### R\n", + "R trains classification trees and inspects split structure.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "%%R\n", + "loan_tree <- rpart(outcome ~ borrower_score + payment_inc_ratio,\n", + " data=loan3000, control=rpart.control(cp=0.005))\n", + "\n", + "plot(loan_tree, uniform=TRUE, margin=0.05)\n", + "text(loan_tree, cex=0.75)" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "n= 3000 \n", + "\n", + "node), split, n, loss, yval, (yprob)\n", + " * denotes terminal node\n", + "\n", + " 1) root 3000 1445 paid off (0.5183333 0.4816667) \n", + " 2) borrower_score>=0.575 878 261 paid off (0.7027335 0.2972665) *\n", + " 3) borrower_score< 0.575 2122 938 default (0.4420358 0.5579642) \n", + " 6) borrower_score>=0.375 1639 802 default (0.4893228 0.5106772) \n", + " 12) payment_inc_ratio< 10.42265 1157 547 paid off (0.5272256 0.4727744) \n", + " 24) payment_inc_ratio< 4.42601 334 139 paid off (0.5838323 0.4161677) *\n", + " 25) payment_inc_ratio>=4.42601 823 408 paid off (0.5042527 0.4957473) \n", + " 50) borrower_score>=0.475 418 190 paid off (0.5454545 0.4545455) *\n", + " 51) borrower_score< 0.475 405 187 default (0.4617284 0.5382716) *\n", + " 13) payment_inc_ratio>=10.42265 482 192 default (0.3983402 0.6016598) *\n", + " 7) borrower_score< 0.375 483 136 default (0.2815735 0.7184265) *\n" + ] + } + ], + "source": [ + "%%R\n", + "loan_tree" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Summary: Tree Models\n", + "\n", + "| Operation | Python | R | Notes |\n", + "|---|---|---|---|\n", + "| Tree fit | `DecisionTreeClassifier` | `rpart` | Both fit recursive partition models. |\n", + "| Rule extraction | `textDecisionTree` | tree print/plot outputs | Both expose human-readable split rules. |\n", + "\n", + "Python generally exposes modeling steps through estimator objects, while R generally expresses the same steps through concise statistical functions and formula interfaces." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## The Recursive Partitioning Algorithm\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Python\n", + "Python visualizes recursive partitions in feature space to explain tree splits.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots(figsize=(6, 4))\n", + "\n", + "loan3000.loc[loan3000.outcome=='paid off'].plot(\n", + " x='borrower_score', y='payment_inc_ratio', style='.', \n", + " markerfacecolor='none', markeredgecolor='C1', ax=ax)\n", + "loan3000.loc[loan3000.outcome=='default'].plot(\n", + " x='borrower_score', y='payment_inc_ratio', style='o', \n", + " markerfacecolor='none', markeredgecolor='C0', ax=ax)\n", + "ax.legend(['paid off', 'default']);\n", + "ax.set_xlim(0, 1)\n", + "ax.set_ylim(0, 25)\n", + "ax.set_xlabel('borrower_score')\n", + "ax.set_ylabel('payment_inc_ratio')\n", + "\n", + "x0 = 0.575\n", + "x1a = 0.325; y1b = 9.191\n", + "y2a = 10.423; x2b = 0.725\n", + "ax.plot((x0, x0), (0, 25), color='grey')\n", + "ax.plot((x1a, x1a), (0, 25), color='grey')\n", + "ax.plot((x0, 1), (y1b, y1b), color='grey')\n", + "ax.plot((x1a, x0), (y2a, y2a), color='grey')\n", + "ax.plot((x2b, x2b), (0, y1b), color='grey')\n", + "\n", + "labels = [('default', (x1a / 2, 25 / 2)),\n", + " ('default', ((x0 + x1a) / 2, (25 + y2a) / 2)),\n", + " ('paid off', ((x0 + x1a) / 2, y2a / 2)),\n", + " ('paid off', ((1 + x0) / 2, (y1b + 25) / 2)),\n", + " ('paid off', ((1 + x2b) / 2, (y1b + 0) / 2)),\n", + " ('paid off', ((x0 + x2b) / 2, (y1b + 0) / 2)),\n", + " ]\n", + "for label, (x, y) in labels:\n", + " ax.text(x, y, label, bbox={'facecolor':'white'},\n", + " verticalalignment='center', horizontalalignment='center')\n", + "\n", + "plt.tight_layout()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### R\n", + "R visualizes recursive partitions to show decision regions.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "In addition: Warning message:\n", + "Using `size` aesthetic for lines was deprecated in ggplot2 3.4.0.\n", + "ℹ Please use `linewidth` instead.\n", + "This warning is displayed once per session.\n", + "Call `lifecycle::last_lifecycle_warnings()` to see where this warning was generated. \n" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "%%R\n", + "## Figure 6-4: View of partition rules\n", + "r_tree <- tibble(x1 = c(0.575, 0.375, 0.375, 0.375, 0.475),\n", + " x2 = c(0.575, 0.375, 0.575, 0.575, 0.475),\n", + " y1 = c(0, 0, 10.42, 4.426, 4.426),\n", + " y2 = c(25, 25, 10.42, 4.426, 10.42),\n", + " rule_number = factor(c(1, 2, 3, 4, 5)))\n", + "r_tree <- as.data.frame(r_tree)\n", + "\n", + "rules <- tibble(x=c(0.575, 0.375, 0.4, 0.4, 0.475),\n", + " y=c(24, 24, 10.42, 4.426, 9.42),\n", + " rule_number = factor(c(1, 2, 3, 4, 5))) # , 3, 4, 5)))\n", + "\n", + "labs <- tibble(x=c(.575 + (1-.575)/2, \n", + " .375/2, \n", + " (.375 + .575)/2,\n", + " (.375 + .575)/2, \n", + " (.475 + .575)/2, \n", + " (.375 + .475)/2\n", + " ),\n", + " y=c(12.5, \n", + " 12.5,\n", + " 10.42 + (25-10.42)/2,\n", + " 4.426/2, \n", + " 4.426 + (10.42-4.426)/2,\n", + " 4.426 + (10.42-4.426)/2\n", + " ),\n", + " decision = factor(c('paid off', 'default', 'default', 'paid off', 'paid off', 'default')))\n", + "\n", + "graph <- ggplot(data=loan3000, aes(x=borrower_score, y=payment_inc_ratio)) +\n", + " geom_point( aes(color=outcome, shape=outcome), alpha=.5) +\n", + " scale_color_manual(values=c('blue', 'red')) +\n", + " scale_shape_manual(values = c(1, 46)) +\n", + " geom_segment(data=r_tree, aes(x=x1, y=y1, xend=x2, yend=y2, linetype=rule_number), size=1.5, alpha=.7) +\n", + " guides(color = guide_legend(override.aes = list(size=1.5)),\n", + " linetype = guide_legend(keywidth=3, override.aes = list(size=1))) +\n", + " scale_x_continuous(expand=c(0,0)) + \n", + " scale_y_continuous(expand=c(0,0)) + \n", + " coord_cartesian(ylim=c(0, 25)) +\n", + " geom_label(data=labs, aes(x=x, y=y, label=decision)) +\n", + " #theme(legend.position='bottom') +\n", + " theme_bw()\n", + "graph" + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "%%R\n", + "graph <- ggplot(data=loan3000, aes(x=borrower_score, y=payment_inc_ratio)) +\n", + " geom_point( aes(color=outcome, shape=outcome, size=outcome), alpha=.8) +\n", + " scale_color_manual(values = c(\"paid off\"=\"#7fbc41\", \"default\"=\"#d95f02\")) +\n", + " scale_shape_manual(values = c('paid off'=0, 'default'=1)) +\n", + " scale_size_manual(values = c('paid off'=0.5, 'default'=2)) +\n", + " geom_segment(data=r_tree, aes(x=x1, y=y1, xend=x2, yend=y2), size=1.5) + #, linetype=rule_number), size=1.5, alpha=.7) +\n", + " guides(color = guide_legend(override.aes = list(size=1.5)),\n", + " linetype = guide_legend(keywidth=3, override.aes = list(size=1))) +\n", + " scale_x_continuous(expand=c(0,0)) + \n", + " scale_y_continuous(expand=c(0,0)) + \n", + " coord_cartesian(ylim=c(0, 25)) +\n", + " geom_label(data=labs, aes(x=x, y=y, label=decision)) +\n", + " geom_label(data=rules, aes(x=x, y=y, label=rule_number), \n", + " size=2.5,\n", + " fill='#eeeeee', label.r=unit(0, \"lines\"), label.padding=unit(0.2, \"lines\")) +\n", + " guides(color = guide_legend(override.aes = list(size=2))) +\n", + " theme_bw()\n", + "graph" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Summary: The Recursive Partitioning Algorithm\n", + "\n", + "| Operation | Python | R | Notes |\n", + "|---|---|---|---|\n", + "| Partition geometry | scatter + split overlays | ggplot partition boundaries | Both illustrate recursive splits in feature space. |\n", + "| Rule understanding | explicit threshold logic | explicit threshold logic | Equivalent interpretability objective. |\n", + "| Visualization | matplotlib layers | ggplot layers | Different APIs, same conceptual plot. |\n", + "\n", + "Python generally exposes modeling steps through estimator objects, while R generally expresses the same steps through concise statistical functions and formula interfaces.\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Measuring Homogeneity or Impurity\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Python\n", + "Python computes impurity metrics to compare split quality criteria.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "metadata": {}, + "outputs": [], + "source": [ + "def entropyFunction(x):\n", + " if x == 0: return 0\n", + " return -x * math.log(x, 2) - (1 - x) * math.log(1 - x, 2)\n", + "\n", + "def giniFunction(x):\n", + " return x * (1 - x)" + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "x = np.linspace(0, 0.5, 50)\n", + "impure = pd.DataFrame({\n", + " 'x': x,\n", + " 'Accuracy': 2 * x,\n", + " 'Gini': [giniFunction(xi) / giniFunction(.5) for xi in x],\n", + " 'Entropy': [entropyFunction(xi) for xi in x],\n", + "})\n", + "\n", + "fig, ax = plt.subplots(figsize=(4, 4))\n", + "\n", + "impure.plot(x='x', y='Accuracy', ax=ax, linestyle='solid')\n", + "impure.plot(x='x', y='Entropy', ax=ax, linestyle='--')\n", + "impure.plot(x='x', y='Gini', ax=ax, linestyle=':')\n", + "\n", + "plt.tight_layout()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### R\n", + "R computes and visualizes impurity measures for split evaluation.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 32, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "%%R\n", + "info <- function(x){\n", + " info <- ifelse(x==0, 0, -x * log2(x) - (1-x) * log2(1-x))\n", + " return(info)\n", + "}\n", + "x <- 0:50/100\n", + "plot(x, info(x) + info(1-x))\n", + "\n", + "gini <- function(x){\n", + " return(x * (1-x))\n", + "}\n", + "plot(x, gini(x))" + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "metadata": {}, + "outputs": [], + "source": [ + "%%R\n", + "impure <- data.frame(p = rep(x, 3),\n", + " impurity = c(2*x,\n", + " gini(x)/gini(.5)*info(.5),\n", + " info(x)),\n", + " type = rep(c('Accuracy', 'Gini', 'Entropy'), rep(51,3)))" + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "%%R\n", + "graph <- ggplot(data=impure, aes(x=p, y=impurity, linetype=type, color=type)) + \n", + " geom_line(size=1.5) +\n", + " guides( linetype = guide_legend( keywidth=3, override.aes = list(size=1))) +\n", + " scale_x_continuous(expand=c(0,0.01)) + \n", + " scale_y_continuous(expand=c(0,0.01)) + \n", + " theme_bw() +\n", + " theme(legend.title=element_blank()) \n", + "graph" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Summary: Measuring Homogeneity or Impurity\n", + "\n", + "| Operation | Python | R | Notes |\n", + "|---|---|---|---|\n", + "| Impurity metrics | custom entropy/Gini functions | custom info/impurity functions | Both compare split quality mathematically. |\n", + "| Metric curves | NumPy + plot | data.frame + ggplot | Same metric behavior shown with different plotting stacks. |\n", + "| Split criterion | entropy/Gini comparisons | entropy/Gini comparisons | Equivalent optimization rationale. |\n", + "\n", + "Python generally exposes modeling steps through estimator objects, while R generally expresses the same steps through concise statistical functions and formula interfaces.\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Bagging and the Random Forest\n", + "## Random Forest" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Python\n", + "Python builds bagged ensembles and random forests to improve generalization.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[[0.18131868 0.81868132]\n", + " [0.26704545 0.73295455]\n", + " [0.93333333 0.06666667]\n", + " ...\n", + " [1. 0. ]\n", + " [0.73157895 0.26842105]\n", + " [0.68085106 0.31914894]]\n" + ] + } + ], + "source": [ + "predictors = ['borrower_score', 'payment_inc_ratio']\n", + "outcome = 'outcome'\n", + "\n", + "X = loan3000[predictors]\n", + "y = loan3000[outcome]\n", + "\n", + "rf = RandomForestClassifier(n_estimators=500, random_state=1, \n", + " oob_score=True)\n", + "rf.fit(X, y)\n", + "print(rf.oob_decision_function_)" + ] + }, + { + "cell_type": "code", + "execution_count": 36, + "metadata": {}, + "outputs": [], + "source": [ + "n_estimator = list(range(20, 510, 5))\n", + "oobScores = []\n", + "for n in n_estimator:\n", + " rf = RandomForestClassifier(n_estimators=n, \n", + " criterion='entropy', max_depth=5,\n", + " random_state=1, oob_score=True)\n", + " rf.fit(X, y)\n", + " oobScores.append(rf.oob_score_)" + ] + }, + { + "cell_type": "code", + "execution_count": 37, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "pd.DataFrame({\n", + " 'n': n_estimator, \n", + " 'oobScore': oobScores\n", + "}).plot(x='n', y='oobScore')\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 38, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "predictions = X.copy()\n", + "predictions['prediction'] = rf.predict(X)\n", + "predictions.head()\n", + "\n", + "fig, ax = plt.subplots(figsize=(4, 4))\n", + "\n", + "predictions.loc[predictions.prediction=='paid off'].plot(\n", + " x='borrower_score', y='payment_inc_ratio', style='.',\n", + " markerfacecolor='none', markeredgecolor='C1', ax=ax)\n", + "predictions.loc[predictions.prediction=='default'].plot(\n", + " x='borrower_score', y='payment_inc_ratio', style='o',\n", + " markerfacecolor='none', markeredgecolor='C0', ax=ax)\n", + "ax.legend(['paid off', 'default']);\n", + "ax.set_xlim(0, 1)\n", + "ax.set_ylim(0, 25)\n", + "ax.set_xlabel('borrower_score')\n", + "ax.set_ylabel('payment_inc_ratio')\n", + "\n", + "plt.tight_layout()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### R\n", + "R fits bagged/random-forest models and tracks OOB error behavior.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 39, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "Call:\n", + " randomForest(formula = outcome ~ borrower_score + payment_inc_ratio, data = loan3000) \n", + " Type of random forest: classification\n", + " Number of trees: 500\n", + "No. of variables tried at each split: 1\n", + "\n", + " OOB estimate of error rate: 39.1%\n", + "Confusion matrix:\n", + " paid off default class.error\n", + "paid off 965 590 0.3794212\n", + "default 583 862 0.4034602\n" + ] + } + ], + "source": [ + "%%R\n", + "rf <- randomForest(outcome ~ borrower_score + payment_inc_ratio,\n", + " data=loan3000)\n", + "rf" + ] + }, + { + "cell_type": "code", + "execution_count": 40, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "%%R\n", + "error_df = data.frame(error_rate=rf$err.rate[,'OOB'],\n", + " num_trees=1:rf$ntree)\n", + "graph <- ggplot(error_df, aes(x=num_trees, y=error_rate)) +\n", + " geom_line() +\n", + " theme_bw()\n", + "graph" + ] + }, + { + "cell_type": "code", + "execution_count": 41, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "%%R\n", + "pred <- predict(rf, prob=TRUE)\n", + "rf_df <- cbind(loan3000, pred = pred)\n", + "\n", + "graph <- ggplot(data=rf_df, aes(x=borrower_score, y=payment_inc_ratio, \n", + " shape=pred, color=pred, size=pred)) +\n", + " geom_point(alpha=.8) +\n", + " scale_color_manual(values = c('paid off'='#b8e186', 'default'='#d95f02')) +\n", + " scale_shape_manual(values = c('paid off'=0, 'default'=1)) +\n", + " scale_size_manual(values = c('paid off'=0.5, 'default'=2)) +\n", + "\n", + " scale_x_continuous(expand=c(0,0)) + \n", + " scale_y_continuous(expand=c(0,0)) + \n", + " coord_cartesian(ylim=c(0, 20)) +\n", + " guides(color = guide_legend(override.aes = list(size=2))) +\n", + " theme_bw()\n", + "graph" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "A nice plot showing a gradient of predictions but not as illustrative as the prior plot (not in book)" + ] + }, + { + "cell_type": "code", + "execution_count": 42, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "NULL\n" + ] + } + ], + "source": [ + "%%R\n", + "# graph <- ggplot(data=rf_df, aes(x=borrower_score, y=payment_inc_ratio, color=prob_default)) +\n", + "# geom_point(alpha=.6) +\n", + "# scale_color_gradient2(low='blue', mid='white', high='red', midpoint=.5) +\n", + "# scale_x_continuous(expand=c(0,0)) + \n", + "# scale_y_continuous(expand=c(0,0), lim=c(0, 20)) + \n", + "# theme(legend.position='bottom') +\n", + "# geom_line(data=lda_df0, col='green', size=2, alpha=.8)\n", + "# graph" + ] + }, + { + "cell_type": "code", + "execution_count": 43, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "NULL\n" + ] + } + ], + "source": [ + "%%R\n", + "# graph\n", + "# dev.off()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Summary: Bagging and the Random Forest\n", + "\n", + "| Operation | Python | R | Notes |\n", + "|---|---|---|---|\n", + "| Ensemble fit | `RandomForestClassifier` | `randomForest` | Both average many trees to reduce variance. |\n", + "| Error tracking | custom error aggregation | OOB error plots | Both monitor model stability vs number of trees. |\n", + "| Predictions | `predict_proba()` | `predict(...)` | Python returns probabilities; R in this section uses class labels for visualization. |\n", + "\n", + "Python generally exposes modeling steps through estimator objects, while R generally expresses the same steps through concise statistical functions and formula interfaces.\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Variable importance\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Python\n", + "This is different to R. The accuracy decrease is not available out of the box." + ] + }, + { + "cell_type": "code", + "execution_count": 44, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "RandomForestClassifier(criterion='entropy', n_estimators=500, random_state=1)\n" + ] + } + ], + "source": [ + "predictors = ['loan_amnt', 'term', 'annual_inc', 'dti', \n", + " 'payment_inc_ratio', 'revol_bal', 'revol_util', \n", + " 'purpose', 'delinq_2yrs_zero', 'pub_rec_zero', \n", + " 'open_acc', 'grade', 'emp_length', 'purpose_', \n", + " 'home_', 'emp_len_', 'borrower_score']\n", + "outcome = 'outcome'\n", + "\n", + "X = pd.get_dummies(loan_data[predictors], drop_first=True, dtype=int)\n", + "y = loan_data[outcome]\n", + "\n", + "rf_all = RandomForestClassifier(n_estimators=500, random_state=1)\n", + "rf_all.fit(X, y)\n", + "\n", + "rf_all_entropy = RandomForestClassifier(n_estimators=500, random_state=1,\n", + " criterion='entropy')\n", + "print(rf_all_entropy.fit(X, y))" + ] + }, + { + "cell_type": "code", + "execution_count": 45, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Features sorted by their score:\n", + "[(np.float64(0.072), 'borrower_score'), (np.float64(0.0379), 'grade'), (np.float64(0.0268), 'term_60 months'), (np.float64(0.0161), 'annual_inc'), (np.float64(0.0099), 'payment_inc_ratio'), (np.float64(0.005), 'dti'), (np.float64(0.0034), 'purpose__small_business'), (np.float64(0.0017), 'home__RENT'), (np.float64(0.0015), 'purpose_small_business'), (np.float64(0.001), 'open_acc'), (np.float64(0.001), 'emp_length'), (np.float64(0.0007), 'delinq_2yrs_zero'), (np.float64(0.0006), 'revol_bal'), (np.float64(0.0006), 'purpose_other'), (np.float64(0.0006), 'purpose_major_purchase'), (np.float64(0.0006), 'purpose__home_improvement'), (np.float64(0.0003), 'purpose_credit_card'), (np.float64(0.0003), 'purpose__major_purchase'), (np.float64(0.0002), 'purpose_home_improvement'), (np.float64(0.0002), 'emp_len__ > 1 Year'), (np.float64(0.0001), 'purpose_wedding'), (np.float64(0.0001), 'purpose_medical'), (np.float64(-0.0), 'revol_util'), (np.float64(0.0), 'purpose_moving'), (np.float64(-0.0001), 'purpose__other'), (np.float64(-0.0001), 'purpose__medical'), (np.float64(-0.0003), 'purpose_vacation'), (np.float64(-0.0004), 'purpose_house'), (np.float64(-0.0006), 'home__OWN'), (np.float64(-0.0007), 'pub_rec_zero'), (np.float64(-0.0009), 'purpose_debt_consolidation'), (np.float64(-0.0014), 'purpose__debt_consolidation'), (np.float64(-0.0037), 'loan_amnt')]\n" + ] + } + ], + "source": [ + "rf = RandomForestClassifier(n_estimators=500)\n", + "scores = defaultdict(list)\n", + " \n", + "# crossvalidate the scores on a number of different random splits of the data\n", + "for _ in range(3):\n", + " train_X, valid_X, train_y, valid_y = train_test_split(X, y, \n", + " test_size=0.3)\n", + " rf.fit(train_X, train_y)\n", + " acc = metrics.accuracy_score(valid_y, rf.predict(valid_X))\n", + " for column in X.columns:\n", + " X_t = valid_X.copy()\n", + " X_t[column] = np.random.permutation(X_t[column].values)\n", + " shuff_acc = metrics.accuracy_score(valid_y, rf.predict(X_t))\n", + " scores[column].append((acc-shuff_acc)/acc)\n", + "print('Features sorted by their score:')\n", + "print(sorted([(round(np.mean(score), 4), feat) for\n", + " feat, score in scores.items()], reverse=True))" + ] + }, + { + "cell_type": "code", + "execution_count": 46, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "importances = rf_all.feature_importances_\n", + "\n", + "df = pd.DataFrame({\n", + " 'feature': X.columns, \n", + " 'Accuracy decrease': [np.mean(scores[column]) for column in \n", + " X.columns],\n", + " 'Gini decrease': rf_all.feature_importances_, \n", + " 'Entropy decrease': rf_all_entropy.feature_importances_,\n", + "})\n", + "df = df.sort_values('Accuracy decrease')\n", + "\n", + "fig, axes = plt.subplots(ncols=2, figsize=(8, 5))\n", + "ax = df.plot(kind='barh', x='feature', y='Accuracy decrease', \n", + " legend=False, ax=axes[0])\n", + "ax.set_ylabel('')\n", + "\n", + "ax = df.plot(kind='barh', x='feature', y='Gini decrease', \n", + " legend=False, ax=axes[1])\n", + "ax.set_ylabel('')\n", + "ax.get_yaxis().set_visible(False)\n", + "\n", + "plt.tight_layout()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### R\n", + "R ranks predictors by random-forest importance metrics.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 47, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "%%R\n", + "rf_all <- randomForest(outcome ~ ., data=loan_data, importance=TRUE)\n", + "rf_all\n", + "\n", + "varImpPlot(rf_all, type=1)\n", + "\n", + "imp1 <- importance(rf_all, type=1)\n", + "imp2 <- importance(rf_all, type=2)\n", + "idx <- order(imp1[,1])\n", + "nms <- factor(row.names(imp1)[idx], levels=row.names(imp1)[idx])\n", + "imp <- data.frame(Predictor = rep(nms, 2),\n", + " Importance = c(imp1[idx, 1], imp2[idx, 1]),\n", + " Type = rep( c('Accuracy Decrease', 'Gini Decrease'), rep(nrow(imp1), 2)))" + ] + }, + { + "cell_type": "code", + "execution_count": 48, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "%%R\n", + "graph <- ggplot(imp) + \n", + " geom_point(aes(y=Predictor, x=Importance), size=2, stat=\"identity\") + \n", + " facet_wrap(~Type, ncol=1, scales=\"free_x\") + \n", + " theme(\n", + " panel.grid.major.x = element_blank() ,\n", + " panel.grid.major.y = element_line(linetype=3, color=\"darkgray\") ) +\n", + " theme_bw()\n", + "graph" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### search over hyperparameter space (not in book); this takes a while" + ] + }, + { + "cell_type": "code", + "execution_count": 49, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "NULL\n" + ] + } + ], + "source": [ + "%%R\n", + "# loan_data1 <- loan_data0[,-which(names(loan_data0) %in% 'emp_length')]\n", + "# loan_data1$term = factor(loan_data1$term)\n", + "# loan_data1$emp_length = factor(loan_data1$emp_length>1)\n", + "\n", + "# params <- data.frame(nodesize = c(5, 15, 25, 5, 10, 25),\n", + "# mtry = c(3, 3, 3, 5, 5, 5))\n", + "# rf_list <- vector('list', 6)\n", + "# for(i in 1:nrow(params)){\n", + "# rf_list[[i]] <- randomForest(outcome ~ ., data=loan_data, mtry=params[i, 'mtry'],\n", + "# nodesize = params[i,'nodesize'], ntree=100)\n", + "# }\n", + "\n", + "# rf_list[[1]]$confusion" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Summary: Variable importance\n", + "\n", + "| Operation | Python | R | Notes |\n", + "|---|---|---|---|\n", + "| Importance extraction | `feature_importances_` | `importance(...)` | Both rank predictors by contribution. |\n", + "| Visualization | bar/point plots | ggplot ranking chart | Same comparative interpretation of variable impact. |\n", + "| Model insight | global feature influence | global feature influence | Equivalent diagnostic objective. |\n", + "\n", + "Python generally exposes modeling steps through estimator objects, while R generally expresses the same steps through concise statistical functions and formula interfaces." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Boosting\n", + "## XGBoost" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Python\n", + "Python trains gradient boosting/XGBoost classifiers for higher predictive accuracy.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 50, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "XGBClassifier(base_score=None, booster=None, callbacks=None,\n", + " colsample_bylevel=None, colsample_bynode=None,\n", + " colsample_bytree=None, device=None, early_stopping_rounds=None,\n", + " enable_categorical=False, eval_metric='error', feature_types=None,\n", + " feature_weights=None, gamma=None, grow_policy=None,\n", + " importance_type=None, interaction_constraints=None,\n", + " learning_rate=None, max_bin=None, max_cat_threshold=None,\n", + " max_cat_to_onehot=None, max_delta_step=None, max_depth=None,\n", + " max_leaves=None, min_child_weight=None, missing=nan,\n", + " monotone_constraints=None, multi_strategy=None, n_estimators=None,\n", + " n_jobs=None, num_parallel_tree=None, ...)\n" + ] + } + ], + "source": [ + "predictors = ['borrower_score', 'payment_inc_ratio']\n", + "outcome = 'outcome'\n", + "\n", + "X = loan3000[predictors]\n", + "y = pd.Series([1 if o == 'default' else 0 for o in loan3000[outcome]])\n", + "\n", + "xgb = XGBClassifier(objective='binary:logistic', subsample=.63, \n", + " eval_metric='error')\n", + "print(xgb.fit(X, y))" + ] + }, + { + "cell_type": "code", + "execution_count": 51, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " borrower_score payment_inc_ratio prediction prob_default\n", + "0 0.40 5.11135 paid off 0.837470\n", + "1 0.40 5.43165 default 0.258429\n", + "2 0.70 9.23003 default 0.218399\n", + "3 0.40 2.33482 paid off 0.869448\n", + "4 0.45 12.10320 default 0.071927\n" + ] + } + ], + "source": [ + "xgb_df = X.copy()\n", + "xgb_df['prediction'] = ['default' if p == 1 else 'paid off' for p in xgb.predict(X)]\n", + "xgb_df['prob_default'] = xgb.predict_proba(X)[:, 0]\n", + "print(xgb_df.head())" + ] + }, + { + "cell_type": "code", + "execution_count": 52, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots(figsize=(6, 4))\n", + "\n", + "xgb_df.loc[xgb_df.prediction=='paid off'].plot(\n", + " x='borrower_score', y='payment_inc_ratio', style='.', \n", + " markerfacecolor='none', markeredgecolor='C1', ax=ax)\n", + "xgb_df.loc[xgb_df.prediction=='default'].plot(\n", + " x='borrower_score', y='payment_inc_ratio', style='o', \n", + " markerfacecolor='none', markeredgecolor='C0', ax=ax)\n", + "ax.legend(['paid off', 'default']);\n", + "ax.set_xlim(0, 1)\n", + "ax.set_ylim(0, 25)\n", + "ax.set_xlabel('borrower_score')\n", + "ax.set_ylabel('payment_inc_ratio')\n", + "\n", + "plt.tight_layout()\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 53, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "XGBClassifier(base_score=None, booster=None, callbacks=None,\n", + " colsample_bylevel=None, colsample_bynode=None,\n", + " colsample_bytree=None, device=None, early_stopping_rounds=None,\n", + " enable_categorical=False, eval_metric='error', feature_types=None,\n", + " feature_weights=None, gamma=None, grow_policy=None,\n", + " importance_type=None, interaction_constraints=None,\n", + " learning_rate=0.1, max_bin=None, max_cat_threshold=None,\n", + " max_cat_to_onehot=None, max_delta_step=None, max_depth=6,\n", + " max_leaves=None, min_child_weight=None, missing=nan,\n", + " monotone_constraints=None, multi_strategy=None, n_estimators=250,\n", + " n_jobs=None, num_parallel_tree=None, ...)\n" + ] + } + ], + "source": [ + "predictors = ['loan_amnt', 'term', 'annual_inc', 'dti', \n", + " 'payment_inc_ratio', 'revol_bal', 'revol_util', \n", + " 'purpose', 'delinq_2yrs_zero', 'pub_rec_zero', \n", + " 'open_acc', 'grade', 'emp_length', 'purpose_', \n", + " 'home_', 'emp_len_', 'borrower_score']\n", + "outcome = 'outcome'\n", + "\n", + "X = pd.get_dummies(loan_data[predictors], drop_first=True, dtype=int)\n", + "y = pd.Series([1 if o == 'default' else 0 for o in loan_data[outcome]])\n", + "\n", + "train_X, valid_X, train_y, valid_y = train_test_split(X, y, test_size=10000)\n", + "\n", + "xgb_default = XGBClassifier(objective='binary:logistic', n_estimators=250, max_depth=6,\n", + " reg_lambda=0, learning_rate=0.3, subsample=1,\n", + " eval_metric='error')\n", + "xgb_default.fit(train_X, train_y)\n", + "\n", + "xgb_penalty = XGBClassifier(objective='binary:logistic', n_estimators=250, max_depth=6,\n", + " reg_lambda=1000, learning_rate=0.1, subsample=0.63,\n", + " eval_metric='error')\n", + "print(xgb_penalty.fit(train_X, train_y))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### R\n", + "R trains XGBoost models and visualizes probability landscapes.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 54, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "In addition: Warning message:\n", + "In throw_err_or_depr_msg(\"Parameter '\", match_old, \"' has been renamed to '\", :\n", + " Parameter 'eta' has been renamed to 'learning_rate'. This warning will become an error in a future version.\n" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "%%R\n", + "predictors <- data.matrix(loan3000[, c('borrower_score', 'payment_inc_ratio')])\n", + "label <- factor(loan3000[,'outcome'])\n", + "\n", + "xgb <- xgboost(x = predictors, y = label,\n", + " objective = 'binary:logistic',\n", + " subsample = 0.63, eta = 0.1,\n", + " nrounds = 100, eval_metric = 'error')\n", + "\n", + "pred <- predict(xgb, newdata = predictors)\n", + "xgb_df <- cbind(loan3000, pred_default = pred > 0.5, prob_default = pred)" + ] + }, + { + "cell_type": "code", + "execution_count": 55, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "%%R\n", + "graph <- ggplot(data=xgb_df, aes(x=borrower_score, y=payment_inc_ratio, \n", + " color=pred_default, shape=pred_default)) +\n", + " geom_point(alpha=0.6, size=2) +\n", + " scale_shape_manual( values=c(46, 4)) +\n", + " scale_x_continuous(expand=c(0.03, 0)) + \n", + " scale_y_continuous(expand=c(0, 0)) + \n", + " coord_cartesian(ylim=c(0, 20)) +\n", + " theme_bw()\n", + "graph" + ] + }, + { + "cell_type": "code", + "execution_count": 56, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "%%R\n", + "graph <- ggplot(data=xgb_df, aes(x=borrower_score, y=payment_inc_ratio, \n", + " color=pred_default, shape=pred_default, size=pred_default)) +\n", + " geom_point(alpha=.8) +\n", + " scale_color_manual(values = c('FALSE'='#b8e186', 'TRUE'='#d95f02')) +\n", + " scale_shape_manual(values = c('FALSE'=0, 'TRUE'=1)) +\n", + " scale_size_manual(values = c('FALSE'=0.5, 'TRUE'=2)) +\n", + "\n", + " scale_x_continuous(expand=c(0.03, 0)) + \n", + " scale_y_continuous(expand=c(0, 0)) + \n", + " coord_cartesian(ylim=c(0, 20)) +\n", + " guides(color = guide_legend(override.aes = list(size=2))) +\n", + " theme_bw()\n", + "graph" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Summary: Boosting\n", + "\n", + "| Operation | Python | R | Notes |\n", + "|---|---|---|---|\n", + "| Model fit | `XGBClassifier` | `xgboost` | Both train gradient-boosted trees. |\n", + "| Predictions | `predict()` / `predict_proba()` | `predict()` | Python returns class labels and probabilities; in R the code uses predicted probabilities and thresholds them at 0.5. |\n", + "| Decision plot | scatter plot of predicted classes | ggplot classification map | Both plot predicted classes over the two input features; no explicit probability surface is computed in the shown code. |\n", + "| Iteration control | `n_estimators`, `learning_rate` | `nrounds`, `eta` | Equivalent boosting controls across APIs. |\n", + "\n", + "Python generally exposes modeling steps through estimator objects, while R generally expresses the same steps through concise statistical functions and formula interfaces." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Regularization: Avoiding Overfitting\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Python\n", + "Python applies early stopping and regularization controls to reduce overfit risk.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 57, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "default (train): 0.10670024333654009\n", + "default: 0.354\n", + "penalty: 0.3235\n" + ] + } + ], + "source": [ + "pred_default = xgb_default.predict_proba(train_X)[:, 1]\n", + "error_default = abs(train_y - pred_default) > 0.5\n", + "print('default (train): ', np.mean(error_default))\n", + "\n", + "pred_default = xgb_default.predict_proba(valid_X)[:, 1]\n", + "error_default = abs(valid_y - pred_default) > 0.5\n", + "print('default: ', np.mean(error_default))\n", + "\n", + "pred_penalty = xgb_penalty.predict_proba(valid_X)[:, 1]\n", + "error_penalty = abs(valid_y - pred_penalty) > 0.5\n", + "print('penalty: ', np.mean(error_penalty))" + ] + }, + { + "cell_type": "code", + "execution_count": 58, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " iterations default train penalty train default test penalty test\n", + "0 1 0.339851 0.359997 0.3479 0.3572\n", + "1 2 0.332126 0.345198 0.3447 0.3426\n", + "2 3 0.326269 0.343048 0.3342 0.3438\n", + "3 4 0.322166 0.340388 0.3340 0.3394\n", + "4 5 0.320072 0.338096 0.3351 0.3428\n" + ] + } + ], + "source": [ + "results = []\n", + "for ntree_limit in range(1, 250):\n", + " iteration_range = [1, ntree_limit + 1]\n", + " train_default = xgb_default.predict_proba(train_X, iteration_range=iteration_range)[:, 1]\n", + " train_penalty = xgb_penalty.predict_proba(train_X, iteration_range=iteration_range)[:, 1]\n", + " pred_default = xgb_default.predict_proba(valid_X, iteration_range=iteration_range)[:, 1]\n", + " pred_penalty = xgb_penalty.predict_proba(valid_X, iteration_range=iteration_range)[:, 1]\n", + " results.append({\n", + " 'iterations': ntree_limit,\n", + " 'default train': np.mean(abs(train_y - train_default) > 0.5),\n", + " 'penalty train': np.mean(abs(train_y - train_penalty) > 0.5),\n", + " 'default test': np.mean(abs(valid_y - pred_default) > 0.5),\n", + " 'penalty test': np.mean(abs(valid_y - pred_penalty) > 0.5),\n", + " })\n", + "\n", + "results = pd.DataFrame(results)\n", + "print(results.head())" + ] + }, + { + "cell_type": "code", + "execution_count": 59, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "ax = results.plot(x='iterations', y='default test')\n", + "results.plot(x='iterations', y='penalty test', ax=ax)\n", + "results.plot(x='iterations', y='default train', ax=ax)\n", + "results.plot(x='iterations', y='penalty train', ax=ax)\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### R\n", + "R applies regularization controls and compares train/test error trajectories.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 60, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[1] 0.356\n" + ] + }, + { + "data": { + "text/plain": [ + "In addition: Warning messages:\n", + "1: In check.deprecation(deprecated_train_params, match.call(), ...) :\n", + " Passed invalid function arguments: eval_metric. These should be passed as a list to argument 'params'. Conversion from argument to 'params' entry will be done automatically, but this behavior will become an error in a future version.\n", + "2: In check.custom.obj(params, objective) :\n", + " Argument 'objective' is only for custom objectives. For built-in objectives, pass the objective under 'params'. This warning will become an error in a future version.\n" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "%%R\n", + "library(xgboost)\n", + "\n", + "set.seed(400820)\n", + "\n", + "predictors <- data.matrix(loan_data[, setdiff(names(loan_data), \"outcome\")])\n", + "label <- ifelse(loan_data$outcome == \"default\", 1, 0)\n", + "\n", + "test_idx <- sample(nrow(loan_data), 10000)\n", + "\n", + "dtrain <- xgb.DMatrix(data = predictors[-test_idx, ], label = label[-test_idx])\n", + "\n", + "dtest <- xgb.DMatrix(data = predictors[test_idx, ], label = label[test_idx])\n", + "\n", + "xgb_default <- xgb.train(\n", + " data = dtrain,\n", + " objective = \"binary:logistic\",\n", + " nrounds = 250,\n", + " verbose = 0,\n", + " eval_metric = \"error\"\n", + ")\n", + "\n", + "pred_default <- predict(xgb_default, dtest)\n", + "mean((pred_default > 0.5) != label[test_idx])" + ] + }, + { + "cell_type": "code", + "execution_count": 61, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[1] 0.3322\n" + ] + } + ], + "source": [ + "%%R\n", + "xgb_penalty <- xgb.train(\n", + " params = list(\n", + " objective = \"binary:logistic\",\n", + " eta = 0.1,\n", + " subsample = 0.63,\n", + " lambda = 1000,\n", + " eval_metric = \"error\"\n", + " ),\n", + " data = dtrain,\n", + " nrounds = 250,\n", + " verbose = 0\n", + ")\n", + "\n", + "pred_penalty <- predict(xgb_penalty, dtest)\n", + "mean((pred_penalty > 0.5) != label[test_idx])" + ] + }, + { + "cell_type": "code", + "execution_count": 62, + "metadata": {}, + "outputs": [], + "source": [ + "%%R\n", + "\n", + "n_iter <- 250L\n", + "\n", + "x_test <- predictors[test_idx, , drop = FALSE]\n", + "y_test <- label[test_idx]\n", + "\n", + "error_default <- numeric(n_iter)\n", + "error_penalty <- numeric(n_iter)\n", + "\n", + "for (i in seq_len(n_iter)) {\n", + " pred_default <- predict(xgb_default, x_test, iterationrange = c(1L, i))\n", + "\n", + " error_default[i] <- mean((pred_default > 0.5) != y_test)\n", + "\n", + " pred_penalty <- predict(xgb_penalty, x_test, iterationrange = c(1L, i))\n", + "\n", + " error_penalty[i] <- mean((pred_penalty > 0.5) != y_test)\n", + "}\n", + "\n", + "errors <- data.frame(\n", + " iter = seq_len(n_iter),\n", + " default_test = error_default,\n", + " penalty_test = error_penalty\n", + ")\n", + "\n", + "errors_long <- rbind(\n", + " data.frame(iter = errors$iter, error = errors$default_test, type = \"default test\"),\n", + " data.frame(iter = errors$iter, error = errors$penalty_test, type = \"penalty test\")\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 63, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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YHvD709Q2rYe3V+zm78cc+Dmv2sVFaldJqV2OhT/VXKAlBe76IiehV3jAlxJ4fbTPV9D/O3bpwUpXXWTPdQMe9sGMoDuidzA84LIH8/ub2WyWPdm0ilbbDMAbRquCdvIOhgcst8E3cwG9durB1TY98KbvQkE7eQfDAxZ7z5yV36f7V1sDF9AAHr4G+AH4FMAj1pDAliEObdC9MeggeeDibI8k6ovGegcfDfB0CuDhawtg5wEpeVY8gEeoIYBFpTvVAB6+BgNmAB6lhgTGTtYINQiwetrz2It7+CB94MrPGMZe3MMHHwdw8SNC+1KznJA5tpN38DEAs/I4/wZgs/DYTt7BRwGcn6mz4YdLC91JIKZ3dW0bPfg4gJkErulVngO4+xoeOJ1SGlaBpwDuugYFZgpwcay4ClyfVH1X0yYawMYaEpgpPx6eNvoyK4GN7wrg1tUBcMPZAFxtlGfZThW2he13iRlw0fOtc3RuBLBSZuCasBbY1MhaAsvItN5mDfq0Abh7YNvsy1V083w+ABsrHGB+W28z9NLmD2IAbKztgZunOrcHzvetFvXphndtbIgBbKwQgJkOeNrczja20O7rdp82AKtfcBttZVWbnYEVX/GoCSy/aTldNKJ9G4C7AxY3tVW0wqkHVq6+Zvv+DGDX6g9YlGYnSzYIwiZw+V26/G2ypgDsWDrgRPenYKv/vmRL4KkJuPIK+RaaArBj6YE1PxisA1sabcG8ZO+0HSxeqC+17H67zbHjYPTAjbHKboGzcgIuT7GvHoT0miOAmTwGaAWu9+8tgF2DLf7CAICVag+8uXs7t7UD7mKOAGYlsKGTAjiteICb1xdJsouqmC6skjaOfNEVzYVghq54gNUnRQ/O7lizjXXag9sHix2uheX6t+jBStmA9V91RwbOz/8BsGNpgVnlXm0zXNRuuC2i8kdgAOxSGmBZJmCHQ02ubR5BADMAdztHbSMFYP0h3yCARSOAXcoNmD8KBbhozLrykHNUixxwogBvPmHLtW3boP50egAr1Q64+M1o7V1GAy6/GA80R1nEges13sBh/Vcz/c8xK5LA5uu6jw1c3eMCsFLOwIbzALRB57ZugdXTMb12sR8bsDKmFS6wvFd+DrXINspbn+tjO35FFlj/LuMBV0qwFt+RK+foli+pRVj9oufqu5l33SgCt7iQpWtbH8BTFbjo4OVLGpGy8+uADefh0wQ2ViDA5Z86rtDILXR5nrXSqv4he+VNC9ypsuJXCsBObX0EpzVcVoxfl15K564BV65WUFnRA9ijrTfg2hSloX46fSHOsvHPCjAjDqz8ljRi4KkGWJNixQA3Y83/A9gUwB5tgwSraObzsFl+QSB91VqoATePL1QqaOBq2X6zaAMmvopuHl+oVETAGMlSSwEOenEPHwSwU1u8QQA7tcUbJAJcXLEj8MU9fJAOsByDDnpxDx+kBJywTdf8Hn1xDx8kBZwAuNFIB1huh4Ne3MMHqQC7tT3CIICJBwFMPAhg4kEAEw+GB/zwZrZf3MsnAPYNhgf84ZBdzLP7y1NxIyYD2C8YHvD709Q2rYe3V/nNc15jX64m0goP+FICr4/285u00IP9guEBlz04u8+fANgvGB6w3AbfzPlDcSMmA9gvGB6w2HFeH9/y+73sRkwGsF8wPGBDAdgvCGDiQQATDwKYeBDAxIMAJh4EMPFgPMAov+pPz6FaAFfK+1MjOGwBOKRgD+ULjIqkAEy8AEy8AEy8vIDLE/Haxr489cjezOvn/7UKtp7n+mj21ZXPHGXQ61/ZU3kByzMCWtb6B6/sxWyepdpG06DPPPn/FzeHPnMUQc9/ZV/lBayc09OmPn4/27ttnV3/my83kWoZFUG/ebIPc585iqDnHPsqL+BLv4/PMx9/9MhyJ5FqHc1ON/KY5/r41m+OPOj7r+yphuzBjHl1CubZg0XQa57rf1z5zTENes2xvxpyG5x2qNYbUiY7YvttsNgmeszz41+umNccRdD3X9lTDbwX7bErvPVedOvgxWw2Oxw02GPhezDxAjDxAjDxAjDxAjDxAjDxig549fK3797VJ9599271sjEVxaIE/rVJCV1jxQf8+beTZ++Wk8lO+vDp+TV/dP968oyz84e7bPXHV7yJT+GPUTECpz047bFnB6tPTtK+e/fN+Sqd9Oun53dfn6z47Tfnyx3Gb8f+rCFUnMC8A/MeKlbMqxeTJycC+D87LFV/+e7+pxM+dWfsTxpGRQq8kz18x5ZPRbetAwv4g7E/awgVJzBfOd+/PhDAO2yZ9+B8FS2Ar1NsbIRZlMC/vZI7WRz47tXkD68O7l7lO1kHLO/BZxO+Kzb2Zw2hogNGtSsAEy8AEy8AEy8AEy8AEy8AE6//A2pXO27JMZRKAAAAAElFTkSuQmCC", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "%%R\n", + "\n", + "graph <- ggplot(errors_long, aes(x = iter, y = error, group = type)) +\n", + " geom_line(aes(linetype = type, color = type), size = 1) +\n", + " scale_linetype_manual(values = c(\"solid\", \"dashed\")) +\n", + " theme_bw() +\n", + " theme(legend.key.width = unit(1.5, \"cm\")) +\n", + " labs(x = \"Iterations\", y = \"Error\") +\n", + " guides(color = guide_legend(override.aes = list(size = 1)))\n", + "\n", + "graph" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Summary: Regularization: Avoiding Overfitting\n", + "\n", + "| Operation | Python | R | Notes |\n", + "|---|---|---|---|\n", + "| Overfit monitoring | train/test error vs iterations | test error vs iterations | Python computes both train and test error curves; R computes only test error curves in the shown code. |\n", + "| Regularization knobs | `learning_rate`, `max_depth`, `subsample`, `lambda` | `eta`, `subsample`, `lambda` | These are the regularization controls explicitly used in the code; `max_depth` is set in the Python models but not in the R penalty model shown here. |\n", + "| Iteration analysis | staged predictions (`iteration_range`) | staged predictions (`iterationrange`) | Both evaluate performance across boosting steps. |\n", + "| Decision criterion | inspect error curves manually | inspect error curves manually | No automatic early stopping is used in the shown code. |\n", + "\n", + "Python generally exposes modeling steps through estimator objects, while R generally expresses the same steps through concise statistical functions and formula interfaces." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Hyperparameters and Cross-Validation\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Python\n", + "Python evaluates hyperparameter combinations with resampling-based validation.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 64, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "{'eta': 0.1, 'max_depth': 3, 'avg_error': np.float64(0.3286483036755906)}\n", + "{'eta': 0.1, 'max_depth': 6, 'avg_error': np.float64(0.33669618919796235)}\n", + "{'eta': 0.1, 'max_depth': 9, 'avg_error': np.float64(0.34681731182982894)}\n", + "{'eta': 0.5, 'max_depth': 3, 'avg_error': np.float64(0.3397728058897796)}\n", + "{'eta': 0.5, 'max_depth': 6, 'avg_error': np.float64(0.36424626321218706)}\n", + "{'eta': 0.5, 'max_depth': 9, 'avg_error': np.float64(0.3720725886301959)}\n", + "{'eta': 0.9, 'max_depth': 3, 'avg_error': np.float64(0.3501921694368625)}\n", + "{'eta': 0.9, 'max_depth': 6, 'avg_error': np.float64(0.38360167600604067)}\n", + "{'eta': 0.9, 'max_depth': 9, 'avg_error': np.float64(0.38121575253221895)}\n", + " eta max_depth avg_error\n", + "0 0.1 3 0.328648\n", + "1 0.1 6 0.336696\n", + "2 0.1 9 0.346817\n", + "3 0.5 3 0.339773\n", + "4 0.5 6 0.364246\n", + "5 0.5 9 0.372073\n", + "6 0.9 3 0.350192\n", + "7 0.9 6 0.383602\n", + "8 0.9 9 0.381216\n" + ] + } + ], + "source": [ + "idx = np.random.choice(range(5), size=len(X), replace=True)\n", + "error = []\n", + "for eta, max_depth in product([0.1, 0.5, 0.9], [3, 6, 9]):\n", + " xgb = XGBClassifier(objective='binary:logistic', n_estimators=250, \n", + " max_depth=max_depth, learning_rate=eta,\n", + " eval_metric='error')\n", + " cv_error = []\n", + " for k in range(5):\n", + " fold_idx = idx == k\n", + " train_X = X.loc[~fold_idx]; train_y = y[~fold_idx]\n", + " valid_X = X.loc[fold_idx]; valid_y = y[fold_idx]\n", + "\n", + " xgb.fit(train_X, train_y)\n", + " pred = xgb.predict_proba(valid_X)[:, 1]\n", + " cv_error.append(np.mean(abs(valid_y - pred) > 0.5))\n", + " error.append({\n", + " 'eta': eta,\n", + " 'max_depth': max_depth,\n", + " 'avg_error': np.mean(cv_error)\n", + " })\n", + " print(error[-1])\n", + "errors = pd.DataFrame(error)\n", + "print(errors)" + ] + }, + { + "cell_type": "code", + "execution_count": 65, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "max_depth 3 6 9\n", + "eta \n", + "0.1 32.864830 33.669619 34.681731\n", + "0.5 33.977281 36.424626 37.207259\n", + "0.9 35.019217 38.360168 38.121575\n" + ] + } + ], + "source": [ + "print(errors.pivot_table(index='eta', columns='max_depth', values='avg_error') * 100)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### R\n", + "R evaluates hyperparameters via repeated sampling and error aggregation.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 66, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " eta max_depth avg_error\n", + "1 0.1 3 32.87627\n", + "2 0.5 3 33.38361\n", + "3 0.9 3 33.96084\n", + "4 0.1 6 33.13310\n", + "5 0.5 6 35.66607\n", + "6 0.9 6 37.37816\n", + "7 0.1 12 34.96274\n", + "8 0.5 12 37.13764\n", + "9 0.9 12 37.79391\n" + ] + } + ], + "source": [ + "%%R\n", + "library(xgboost)\n", + "\n", + "set.seed(400820)\n", + "\n", + "N <- nrow(loan_data)\n", + "fold_number <- sample(1:5, N, replace = TRUE)\n", + "\n", + "predictors <- data.matrix(loan_data[, setdiff(names(loan_data), \"outcome\")])\n", + "label <- ifelse(loan_data$outcome == \"default\", 1, 0)\n", + "\n", + "params <- data.frame(eta = rep(c(.1, .5, .9), 3), max_depth = rep(c(3, 6, 12), each = 3))\n", + "\n", + "error <- matrix(0, nrow = nrow(params), ncol = 5)\n", + "\n", + "for (i in 1:nrow(params)) {\n", + " for (k in 1:5) {\n", + "\n", + " fold_idx <- which(fold_number == k)\n", + "\n", + " dtrain <- xgb.DMatrix(data = predictors[-fold_idx, ], label = label[-fold_idx])\n", + "\n", + " dtest <- xgb.DMatrix(data = predictors[fold_idx, ], label = label[fold_idx])\n", + "\n", + " model <- xgb.train(\n", + " params = list(\n", + " objective = \"binary:logistic\",\n", + " eta = params$eta[i],\n", + " max_depth = params$max_depth[i],\n", + " eval_metric = \"error\"\n", + " ),\n", + " data = dtrain,\n", + " nrounds = 100,\n", + " verbose = 0\n", + " )\n", + "\n", + " pred <- predict(model, dtest)\n", + "\n", + " error[i, k] <- mean((pred > 0.5) != label[fold_idx])\n", + " }\n", + "}\n", + "\n", + "avg_error <- 100 * rowMeans(error)\n", + "cbind(params, avg_error)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Summary: Hyperparameters and Cross-Validation\n", + "\n", + "| Operation | Python | R | Notes |\n", + "|---|---|---|---|\n", + "| Tuning strategy | random fold assignment with repeated validation | random fold assignment with repeated validation | Both use repeated random splits, not strict k-fold cross-validation. |\n", + "| Parameter grid | explicit loops (`eta`, `max_depth`) | parameter table + loops | Equivalent grid-search patterns. |\n", + "| Aggregation | mean validation error (DataFrame / pivot) | mean validation error (matrix → average) | Equivalent model-selection evidence. |\n", + "| Selection | minimum average validation error | minimum average validation error | Same objective for final model choice. |\n", + "\n", + "Python generally exposes modeling steps through estimator objects, while R generally expresses the same steps through concise statistical functions and formula interfaces." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.12.7" + } + }, + "nbformat": 4, + "nbformat_minor": 4 +} diff --git a/python_R/notebooks/Chapter 7 - Unsupervised Learning.ipynb b/python_R/notebooks/Chapter 7 - Unsupervised Learning.ipynb new file mode 100644 index 0000000..5c66305 --- /dev/null +++ b/python_R/notebooks/Chapter 7 - Unsupervised Learning.ipynb @@ -0,0 +1,2821 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Practical Statistics for Data Scientists (Python + R)\n", + "# Chapter 7. Unsupervised Learning\n", + "> (c) 2019 Peter C. Bruce, Andrew Bruce, Peter Gedeck\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Loading the rpy2 extension in a notebook with the Python kernel\n" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "import sys\n", + "import io\n", + "\n", + "stderr_original = sys.stderr\n", + "sys.stderr = io.StringIO()\n", + "\n", + "%load_ext rpy2.ipython\n", + "\n", + "sys.stderr = stderr_original\n" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "%%R\n", + "suppressWarnings(\n", + " invisible(\n", + " try(Sys.setlocale(\"LC_ALL\", \"English\"), silent = TRUE)\n", + " )\n", + ")\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Import packages\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Import required Python packages\n" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [], + "source": [ + "import math\n", + "from pathlib import Path\n", + "import pandas as pd\n", + "import numpy as np\n", + "\n", + "from sklearn import preprocessing\n", + "from sklearn.decomposition import PCA\n", + "from sklearn.cluster import KMeans\n", + "from sklearn.mixture import GaussianMixture\n", + "\n", + "from scipy.cluster.hierarchy import linkage, dendrogram, fcluster\n", + "from scipy.stats import multivariate_normal\n", + "\n", + "import prince\n", + "\n", + "import matplotlib.pyplot as plt\n", + "from matplotlib import cm \n", + "from matplotlib.colors import from_levels_and_colors\n", + "import seaborn as sns\n", + "\n", + "%matplotlib inline" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [], + "source": [ + "try:\n", + " import common\n", + " DATA = common.dataDirectory()\n", + "except ImportError:\n", + " DATA = Path().resolve() / 'data'" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Import required R packages\n" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "\n", + "Dolaczanie pakietu: 'dplyr'\n", + "\n", + "Nastepujace obiekty zostaly zakryte z 'package:stats':\n", + "\n", + " filter, lag\n", + "\n", + "Nastepujace obiekty zostaly zakryte z 'package:base':\n", + "\n", + " intersect, setdiff, setequal, union\n", + "\n", + "\n", + "Dolaczanie pakietu: 'lubridate'\n", + "\n", + "Nastepujace obiekty zostaly zakryte z 'package:base':\n", + "\n", + " date, intersect, setdiff, union\n", + "\n", + "\n", + "Dolaczanie pakietu: 'ellipse'\n", + "\n", + "Nastepujacy obiekt zostal zakryty z 'package:graphics':\n", + "\n", + " pairs\n", + "\n", + " __ __ \n", + " ____ ___ _____/ /_ _______/ /_\n", + " / __ `__ \\/ ___/ / / / / ___/ __/\n", + " / / / / / / /__/ / /_/ (__ ) /_ \n", + "/_/ /_/ /_/\\___/_/\\__,_/____/\\__/ version 6.1.2\n", + "Type 'citation(\"mclust\")' for citing this R package in publications.\n", + "\n", + "Dolaczanie pakietu: 'mclust'\n", + "\n", + "Nastepujacy obiekt zostal zakryty z 'package:dplyr':\n", + "\n", + " count\n", + "\n", + "In addition: Warning messages:\n", + "1: pakiet 'ellipse' zostal zbudowany w wersji R 4.5.3 \n", + "2: pakiet 'mclust' zostal zbudowany w wersji R 4.5.3 \n", + "3: pakiet 'ca' zostal zbudowany w wersji R 4.5.3 \n" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "%%R\n", + "Sys.setlocale(\"LC_ALL\", \"English\")\n", + "# Install missing packages if needed\n", + "packages <- c(\"dplyr\", \"tidyr\", \"ggplot2\", \"lubridate\", \"ellipse\", \"mclust\", \"cluster\", \"ca\")\n", + "installed <- rownames(installed.packages())\n", + "to_install <- packages[!packages %in% installed]\n", + "if (length(to_install) > 0) {\n", + " install.packages(to_install, repos = 'https://cloud.r-project.org/')\n", + "}\n", + "\n", + "# Load them all\n", + "library(dplyr)\n", + "library(tidyr)\n", + "library(ggplot2)\n", + "library(lubridate)\n", + "library(ellipse)\n", + "library(mclust)\n", + "library(cluster)\n", + "library(ca)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Defining data paths\n", + "If you don't keep your data in the same directory as the code, adapt the path names." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Python" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [], + "source": [ + "SP500_DATA_CSV = DATA / 'sp500_data.csv.gz'\n", + "SP500_SECTORS_CSV = DATA / 'sp500_sectors.csv'\n", + "LOAN_DATA_CSV = DATA / 'loan_data.csv.gz'\n", + "HOUSE_TASKS_CSV = DATA / 'housetasks.csv'" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### R" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [], + "source": [ + "%%R\n", + "PSDS_PATH <- file.path(dirname(dirname(getwd())))\n", + "\n", + "sp500_px <- read.csv(file.path(PSDS_PATH, 'data', 'sp500_data.csv.gz'), row.names=1)\n", + "sp500_sym <- read.csv(file.path(PSDS_PATH, 'data', 'sp500_sectors.csv'), stringsAsFactors = FALSE)\n", + "loan_data <- read.csv(file.path(PSDS_PATH, 'data', 'loan_data.csv.gz'))\n", + "loan_data$outcome <- ordered(loan_data$outcome, levels=c('paid off', 'default'))\n", + "housetasks <- read.csv(file.path(PSDS_PATH, 'data', 'housetasks.csv'), row.names=1)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Summary: Defining data paths\n", + "\n", + "| Operation | Python | R | Notes |\n", + "|---|---|---|---|\n", + "| Base path setup | `Path(...)` / explicit strings | direct path strings in `read.csv()` | Both point to the same chapter datasets. |\n", + "| Dataset loading | `pd.read_csv(...)` | `read.csv(...)` | Equivalent import step with language-specific defaults. |\n", + "| Basic preprocessing | pandas column transforms | base R column transforms | Both align units before analysis. |\n", + "\n", + "Python makes path handling and transformations explicit through objects, while R keeps data import and quick preprocessing concise." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Principal Components Analysis\n", + "## A simple example" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Python\n", + "Python implements this section with NumPy/pandas/sklearn plotting and modeling tools.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " XOM CVX\n", + "1993-01-29 -0.016991 0.072921\n", + "1993-02-01 0.016991 0.102089\n", + "1993-02-02 0.084954 0.029168\n", + "1993-02-03 0.067964 0.058337\n", + "1993-02-04 0.034378 0.044272\n" + ] + } + ], + "source": [ + "sp500_px = pd.read_csv(SP500_DATA_CSV, index_col=0)\n", + "oil_px = sp500_px[['XOM', 'CVX']]\n", + "print(oil_px.head())" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " XOM CVX\n", + "0 0.664711 0.747101\n", + "1 0.747101 -0.664711\n" + ] + } + ], + "source": [ + "pcs = PCA(n_components=2)\n", + "pcs.fit(oil_px)\n", + "loadings = pd.DataFrame(pcs.components_, columns=oil_px.columns)\n", + "print(loadings)" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "def abline(slope, intercept, ax):\n", + " \"\"\"Calculate coordinates of a line based on slope and intercept\"\"\"\n", + " x_vals = np.array(ax.get_xlim())\n", + " return (x_vals, intercept + slope * x_vals)\n", + "\n", + "ax = oil_px.plot.scatter(x='XOM', y='CVX', alpha=0.3, figsize=(4, 4))\n", + "ax.set_xlim(-3, 3)\n", + "ax.set_ylim(-3, 3)\n", + "ax.plot(*abline(loadings.loc[0, 'CVX'] / loadings.loc[0, 'XOM'], 0, ax),\n", + " '--', color='C1')\n", + "ax.plot(*abline(loadings.loc[1, 'CVX'] / loadings.loc[1, 'XOM'], 0, ax),\n", + " '--', color='C1')\n", + "\n", + "plt.tight_layout()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### R\n", + "R reproduces the same section objective using formula-oriented statistical packages and graphics." + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "Loadings:\n", + " Comp.1 Comp.2\n", + "CVX 0.747 0.665\n", + "XOM 0.665 -0.747\n", + "\n", + " Comp.1 Comp.2\n", + "SS loadings 1.0 1.0\n", + "Proportion Var 0.5 0.5\n", + "Cumulative Var 0.5 1.0\n" + ] + } + ], + "source": [ + "%%R\n", + "oil_px <- sp500_px[, c('CVX', 'XOM')]\n", + "pca <- princomp(oil_px)\n", + "pca$loadings" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "%%R\n", + "loadings <- pca$loadings\n", + "graph <- ggplot(data=oil_px, aes(x=CVX, y=XOM)) +\n", + " geom_point(alpha=.3) +\n", + " scale_shape_manual(values=c(46)) +\n", + " stat_ellipse(type='norm', level=.99, color='grey25') +\n", + " geom_abline(intercept = 0, slope = loadings[2,1]/loadings[1,1], color='grey25', linetype=2) +\n", + " geom_abline(intercept = 0, slope = loadings[2,2]/loadings[1,2], color='grey25', linetype=2) +\n", + " scale_x_continuous(expand=c(0,0)) + \n", + " scale_y_continuous(expand=c(0,0)) +\n", + " coord_cartesian(xlim=c(-3, 3), ylim=c(-3, 3)) +\n", + " theme_bw()\n", + "graph" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Summary: Principal Components Analysis\n", + "\n", + "| Operation | Python | R | Notes |\n", + "|---|---|---|---|\n", + "| PCA fit | `sklearn.decomposition.PCA` | `princomp`/`prcomp` | Both reduce dimensionality using orthogonal components. |\n", + "| Scores/loadings | component arrays in pandas/NumPy | `scores`/`loadings` extraction | Equivalent interpretation of latent directions. |\n", + "| Visualization | matplotlib scatter/loadings | ggplot PCA visuals | Both inspect structure in low-dimensional space. |\n", + "\n", + "Python emphasizes explicit data structures and estimator objects, while R emphasizes concise statistical workflows and formula-centric tooling.\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Interpreting principal components\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Python\n", + "Python implements this section with NumPy/pandas/sklearn plotting and modeling tools.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "syms = sorted(['AAPL', 'MSFT', 'CSCO', 'INTC', 'CVX', 'XOM', 'SLB', 'COP',\n", + " 'JPM', 'WFC', 'USB', 'AXP', 'WMT', 'TGT', 'HD', 'COST'])\n", + "top_sp = sp500_px.loc[sp500_px.index >= '2011-01-01', syms]\n", + "\n", + "sp_pca = PCA()\n", + "sp_pca.fit(top_sp)\n", + "\n", + "explained_variance = pd.DataFrame(sp_pca.explained_variance_)\n", + "ax = explained_variance.head(10).plot.bar(legend=False, figsize=(4, 4))\n", + "ax.set_xlabel('Component')\n", + "\n", + "plt.tight_layout()\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " AAPL AXP COP COST CSCO CVX HD \\\n", + "0 0.300825 0.246332 0.261529 0.273634 0.064059 0.444490 0.207983 \n", + "1 0.505116 0.139426 -0.174212 0.416307 0.031939 -0.289373 0.278002 \n", + "2 0.786730 -0.135458 0.002367 -0.465862 0.007524 -0.082374 -0.166320 \n", + "3 -0.120586 0.061814 -0.206026 0.092596 0.003904 -0.577665 0.162814 \n", + "4 -0.111576 0.596666 0.005813 -0.555529 0.039860 -0.109016 0.185488 \n", + "\n", + " INTC JPM MSFT SLB TGT USB WFC \\\n", + "0 0.076956 0.196397 0.105012 0.481786 0.148833 0.116421 0.145684 \n", + "1 0.033898 0.040723 0.053954 -0.472494 0.228123 0.054796 0.047427 \n", + "2 0.003518 -0.062261 -0.016248 0.194822 -0.160833 -0.048976 -0.041932 \n", + "3 -0.001605 0.057687 -0.012558 0.680914 0.109895 0.016752 0.018614 \n", + "4 0.072047 0.385160 0.077135 -0.181332 0.055557 0.155440 0.216425 \n", + "\n", + " WMT XOM \n", + "0 0.122304 0.317952 \n", + "1 0.222889 -0.154192 \n", + "2 -0.175806 -0.090167 \n", + "3 0.058439 -0.295204 \n", + "4 -0.091541 -0.013277 \n" + ] + } + ], + "source": [ + "loadings = pd.DataFrame(sp_pca.components_[0:5, :], \n", + " columns=top_sp.columns)\n", + "print(loadings)" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "maxPC = 1.01 * loadings.loc[0:5, :].abs().to_numpy().max()\n", + "\n", + "f, axes = plt.subplots(5, 1, figsize=(5, 5), sharex=True)\n", + "\n", + "for i, ax in enumerate(axes):\n", + " pc_loadings = loadings.loc[i, :]\n", + " colors = ['C0' if l > 0 else 'C1' for l in pc_loadings]\n", + " ax.axhline(color='#888888')\n", + " pc_loadings.plot.bar(ax=ax, color=colors)\n", + " ax.set_ylabel(f'PC{i+1}')\n", + " ax.set_ylim(-maxPC, maxPC)\n", + "\n", + "plt.tight_layout()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### R\n", + "R reproduces the same section objective using formula-oriented statistical packages and graphics.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "%%R\n", + "syms <- c( 'AAPL', 'MSFT', 'CSCO', 'INTC', 'CVX', 'XOM', 'SLB', 'COP',\n", + " 'JPM', 'WFC', 'USB', 'AXP', 'WMT', 'TGT', 'HD', 'COST')\n", + "top_sp <- sp500_px[row.names(sp500_px)>='2011-01-01', syms]\n", + "sp_pca <- princomp(top_sp)\n", + "par(mar=c(6,3,0,0)+.1, las=2)\n", + "screeplot(sp_pca, main='')" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": {}, + "outputs": [], + "source": [ + "%%R\n", + "loadings <- sp_pca$loadings[,1:5]\n", + "loadings <- as.data.frame(loadings)\n", + "loadings$Symbol <- row.names(loadings)\n", + "loadings <- gather(loadings, 'Component', 'Weight', -Symbol)" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "%%R\n", + "loadings$Color = loadings$Weight > 0\n", + "graph <- ggplot(loadings, aes(x=Symbol, y=Weight, fill=Color)) +\n", + " geom_bar(stat='identity', position='identity', width=.75) + \n", + " facet_grid(Component ~ ., scales='free_y') +\n", + " guides(fill='none') +\n", + " ylab('Component Loading') +\n", + " theme_bw() +\n", + " theme(axis.title.x=element_blank(),\n", + " axis.text.x=element_text(angle=90, vjust=0.5))\n", + "graph" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Summary: Interpreting principal components\n", + "\n", + "| Operation | Python | R | Notes |\n", + "|---|---|---|---|\n", + "| Top loading review | sorted loadings in DataFrame | loading matrices and summaries | Both identify dominant variables per component. |\n", + "| Component meaning | manual sign/magnitude interpretation | manual sign/magnitude interpretation | Same interpretive process. |\n", + "| Plot annotation | matplotlib text overlays | ggplot annotation layers | Equivalent explanatory plotting patterns. |\n", + "\n", + "Python emphasizes explicit data structures and estimator objects, while R emphasizes concise statistical workflows and formula-centric tooling.\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Correspondence analysis\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Python\n", + "Python implements this section with NumPy/pandas/sklearn plotting and modeling tools.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from adjustText import adjust_text\n", + "\n", + "housetasks = pd.read_csv(HOUSE_TASKS_CSV, index_col=0)\n", + "\n", + "ca = prince.CA(n_components=2)\n", + "ca = ca.fit(housetasks)\n", + "\n", + "ax = ca.row_coordinates(housetasks).plot.scatter(x=0, y=1, figsize=(6,6))\n", + "ca.column_coordinates(housetasks).plot.scatter(x=0, y=1, ax=ax, c='C1')\n", + "texts = []\n", + "for idx, row in ca.row_coordinates(housetasks).iterrows():\n", + " texts.append(plt.text(row[0], row[1], idx))\n", + "for idx, row in ca.column_coordinates(housetasks).iterrows():\n", + " texts.append(plt.text(row[0], row[1], idx, color='C1'))\n", + "adjust_text(texts, only_move={'points':'y', 'texts':'y'}) \n", + "plt.tight_layout()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### R\n", + "R reproduces the same section objective using formula-oriented statistical packages and graphics.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "%%R\n", + "ca_analysis <- ca(housetasks)\n", + "plot(ca_analysis)" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Ladowanie wymaganego pakietu: ggrepel\n", + "In addition: Warning message:\n", + "pakiet 'ggrepel' zostal zbudowany w wersji R 4.5.3 \n" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "%%R\n", + "if (!require(ggrepel)) {\n", + " install.packages(\"ggrepel\",\n", + " repos = \"https://cloud.r-project.org\",\n", + " dependencies = TRUE,\n", + " quiet = TRUE)\n", + " library(ggrepel)\n", + "}" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "Principal inertias (eigenvalues):\n", + "\n", + " dim value % cum% scree plot \n", + " 1 0.542889 48.7 48.7 ************ \n", + " 2 0.445003 39.9 88.6 ********** \n", + " 3 0.127048 11.4 100.0 *** \n", + " -------- ----- \n", + " Total: 1.114940 100.0 \n", + "\n", + "\n", + "Rows:\n", + " name mass qlt inr k=1 cor ctr k=2 cor ctr \n", + "1 | Lndr | 101 925 120 | -992 740 183 | -495 185 56 |\n", + "2 | Mn_m | 88 974 81 | -876 742 124 | -490 232 47 |\n", + "3 | Dnnr | 62 930 34 | -693 777 55 | -308 154 13 |\n", + "4 | Brkf | 80 905 37 | -509 505 38 | -453 400 37 |\n", + "5 | Tdyn | 70 975 22 | -394 440 20 | 434 535 30 |\n", + "6 | Dshs | 65 764 18 | -189 118 4 | 442 646 28 |\n", + "7 | Shpp | 69 811 13 | -118 64 2 | 403 748 25 |\n", + "8 | Offc | 55 119 48 | 227 53 5 | -254 66 8 |\n", + "9 | Drvn | 80 767 91 | 742 432 81 | -653 335 76 |\n", + "10 | Fnnc | 65 997 27 | 271 161 9 | 618 837 56 |\n", + "11 | Insr | 80 885 52 | 647 576 61 | 474 309 40 |\n", + "12 | Rprs | 95 933 281 | 1529 707 407 | -864 226 159 |\n", + "13 | Hldy | 92 992 176 | 252 30 11 | 1435 962 425 |\n", + "\n", + "Columns:\n", + " name mass qlt inr k=1 cor ctr k=2 cor ctr \n", + "1 | Wife | 344 954 270 | -838 802 445 | -365 152 103 |\n", + "2 | Altr | 146 110 106 | -62 5 1 | -292 105 28 |\n", + "3 | Hsbn | 218 980 342 | 1161 772 542 | -602 208 178 |\n", + "4 | Jntl | 292 998 282 | 149 21 12 | 1027 977 691 |\n" + ] + } + ], + "source": [ + "%%R\n", + "ca_analysis$sv ** 2\n", + "summary(ca_analysis)" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "%%R\n", + "contrib = ca_analysis$sv ** 2\n", + "contrib = contrib / sum(contrib)\n", + "colcoord = as.data.frame(ca_analysis$colcoord)\n", + "rowcoord = as.data.frame(ca_analysis$rowcoord)\n", + "coords = rbind(\n", + " cbind(rowcoord, type='rowcoord'),\n", + " cbind(colcoord, type='columns')\n", + ")\n", + "row.names(coords) <- gsub('_', ' ', row.names(coords))\n", + "\n", + "graph <- ggplot(coords, aes(x=Dim1, y=Dim2, color=type, label=rownames(coords), shape=type)) +\n", + " geom_hline(yintercept=0, linetype='dotted', color='#444444') + \n", + " geom_vline(xintercept = 0, linetype='dotted', color='#444444') +\n", + " geom_point() +\n", + " geom_text_repel() + \n", + " xlab(sprintf('Dimension 1 (%.1f%%)', 100 * contrib[1])) +\n", + " ylab(sprintf('Dimension 2 (%.1f%%)', 100 * contrib[2])) +\n", + " scale_color_manual(values = c('blue', 'red')) +\n", + " theme_bw() +\n", + " theme(legend.position = \"none\") \n", + "graph" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Summary: Correspondence analysis\n", + "\n", + "| Operation | Python | R | Notes |\n", + "|---|---|---|---|\n", + "| CA computation | `prince.CA()` | `ca::ca()` | Both map categorical association to low-dimensional coordinates. |\n", + "| Category map | biplot-style coordinate display | biplot-style coordinate display | Same interpretation of proximity and association. |\n", + "| Output use | coordinate tables + plots | coordinate tables + plots | Equivalent exploratory objective. |\n", + "\n", + "Python uses the `prince` library which follows a scikit-learn estimator interface, while R uses the dedicated `ca` package with its own plotting conventions." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# K-Means Clustering\n", + "## A Simple Example" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Python\n", + "Python implements this section with NumPy/pandas/sklearn plotting and modeling tools.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " XOM CVX cluster\n", + "2011-01-03 0.736805 0.240681 2\n", + "2011-01-04 0.168668 -0.584516 1\n", + "2011-01-05 0.026631 0.446985 2\n", + "2011-01-06 0.248558 -0.919751 1\n", + "2011-01-07 0.337329 0.180511 2\n" + ] + } + ], + "source": [ + "df = sp500_px.loc[sp500_px.index >= '2011-01-01', ['XOM', 'CVX']]\n", + "kmeans = KMeans(n_clusters=4, n_init='auto').fit(df)\n", + "df['cluster'] = kmeans.labels_\n", + "print(df.head())" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " XOM CVX\n", + "0 0.927032 1.346412\n", + "1 -0.330814 -0.574398\n", + "2 0.231540 0.316965\n", + "3 -1.144397 -1.757796\n" + ] + } + ], + "source": [ + "centers = pd.DataFrame(kmeans.cluster_centers_, columns=['XOM', 'CVX'])\n", + "print(centers)" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots(figsize=(4, 4))\n", + "ax = sns.scatterplot(x='XOM', y='CVX', hue='cluster', style='cluster', \n", + " ax=ax, data=df)\n", + "ax.set_xlim(-3, 3)\n", + "ax.set_ylim(-3, 3)\n", + "centers.plot.scatter(x='XOM', y='CVX', ax=ax, s=50, color='black')\n", + "\n", + "plt.tight_layout()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### R\n", + "R reproduces the same section objective using formula-oriented statistical packages and graphics.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " XOM CVX cluster\n", + "2011-01-03 0.73680496 0.2406809 1\n", + "2011-01-04 0.16866845 -0.5845157 4\n", + "2011-01-05 0.02663055 0.4469854 1\n", + "2011-01-06 0.24855834 -0.9197513 4\n", + "2011-01-07 0.33732892 0.1805111 1\n", + "2011-01-10 0.00000000 -0.4641675 4\n" + ] + } + ], + "source": [ + "%%R\n", + "set.seed(1010103)\n", + "df <- sp500_px[row.names(sp500_px)>='2011-01-01', c('XOM', 'CVX')]\n", + "km <- kmeans(df, centers=4, nstart=1)\n", + "\n", + "df$cluster <- factor(km$cluster)\n", + "head(df)" + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " cluster XOM CVX\n", + "1 1 0.2315403 0.3169645\n", + "2 2 0.9270317 1.3464117\n", + "3 3 -1.1439800 -1.7502975\n", + "4 4 -0.3287416 -0.5734695\n" + ] + } + ], + "source": [ + "%%R\n", + "centers <- data.frame(cluster=factor(1:4), km$centers)\n", + "centers" + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "%%R\n", + "graph <- ggplot(data=df, aes(x=XOM, y=CVX, color=cluster, shape=cluster)) +\n", + " geom_point() +\n", + " scale_shape_manual(values = c(1, 3, 2, 4),\n", + " guide = guide_legend(override.aes=aes(size=1))) + \n", + " geom_point(data=centers, aes(x=XOM, y=CVX), size=2, stroke=2, color='black') +\n", + " theme_bw() +\n", + " scale_x_continuous(expand=c(0,0)) + \n", + " scale_y_continuous(expand=c(0,0)) +\n", + " coord_cartesian(xlim=c(-2, 2), ylim=c(-2.5, 2.5))\n", + "\n", + "graph" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Summary: K-Means Clustering\n", + "\n", + "| Operation | Python | R | Notes |\n", + "|---|---|---|---|\n", + "| Model fit | `KMeans` | `kmeans` | Both partition observations into centroid-based clusters. |\n", + "| Cluster labels | `labels_` | `cluster` | Equivalent assignment outputs. |\n", + "| Centroids | `cluster_centers_` | `centers` | Both provide centroid profiles for interpretation. |\n", + "\n", + "Python emphasizes explicit data structures and estimator objects, while R emphasizes concise statistical workflows and formula-centric tooling.\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## K-Means Algorithm\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Python\n", + "The _scikit-learn_ algorithm is repeated 10 times by default (`n_init`), `max_iter` is used to control the number of iterations. " + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "metadata": {}, + "outputs": [], + "source": [ + "syms = sorted(['AAPL', 'MSFT', 'CSCO', 'INTC', 'CVX', 'XOM', 'SLB', 'COP', \n", + " 'JPM', 'WFC', 'USB', 'AXP', 'WMT', 'TGT', 'HD', 'COST'])\n", + "top_sp = sp500_px.loc[sp500_px.index >= '2011-01-01', syms]\n", + "kmeans = KMeans(n_clusters=5, n_init='auto').fit(top_sp)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### R\n", + "R reproduces the same section objective using formula-oriented statistical packages and graphics.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "metadata": {}, + "outputs": [], + "source": [ + "%%R\n", + "syms <- c( 'AAPL', 'MSFT', 'CSCO', 'INTC', 'CVX', 'XOM', 'SLB', 'COP',\n", + " 'JPM', 'WFC', 'USB', 'AXP', 'WMT', 'TGT', 'HD', 'COST')\n", + "df <- sp500_px[row.names(sp500_px) >= '2011-01-01', syms]\n", + "\n", + "set.seed(10010)\n", + "km <- kmeans(df, centers=5, nstart=10)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Summary: K-Means Algorithm\n", + "\n", + "| Operation | Python | R | Notes |\n", + "|---|---|---|---|\n", + "| Initialization | random/seeding controls | random/seeding controls | Both depend on initialization and local minima. |\n", + "| Iteration | fit loop in estimator | fit loop in function | Equivalent reassign-update process. |\n", + "| Convergence | inertia/iteration diagnostics | tot.withinss/iteration diagnostics | Same objective minimization logic. |\n", + "\n", + "Python emphasizes explicit data structures and estimator objects, while R emphasizes concise statistical workflows and formula-centric tooling.\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Interpreting the Clusters\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Python\n", + "Python implements this section with NumPy/pandas/sklearn plotting and modeling tools.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 32, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Counter({np.int32(0): 303, np.int32(2): 270, np.int32(4): 260, np.int32(1): 159, np.int32(3): 139})\n" + ] + } + ], + "source": [ + "from collections import Counter\n", + "print(Counter(kmeans.labels_))" + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "centers = pd.DataFrame(kmeans.cluster_centers_, columns=syms)\n", + "\n", + "f, axes = plt.subplots(5, 1, figsize=(5, 6), sharex=True)\n", + "for i, ax in enumerate(axes):\n", + " center = centers.loc[i, :]\n", + " maxPC = 1.01 * np.max(np.max(np.abs(center)))\n", + " colors = ['C0' if l > 0 else 'C1' for l in center]\n", + " ax.axhline(color='#888888')\n", + " center.plot.bar(ax=ax, color=colors)\n", + " ax.set_ylabel(f'Cluster {i + 1}')\n", + " ax.set_ylim(-maxPC, maxPC)\n", + "\n", + "plt.tight_layout()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### R\n", + "R reproduces the same section objective using formula-oriented statistical packages and graphics.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[1] 288 266 285 106 186\n" + ] + } + ], + "source": [ + "%%R\n", + "km$size" + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "%%R\n", + "centers <- as.data.frame(t(km$centers))\n", + "names(centers) <- paste('Cluster', 1:5)\n", + "centers$Symbol <- row.names(centers)\n", + "centers <- gather(centers, 'Cluster', 'Mean', -Symbol)\n", + "\n", + "centers$Color = centers$Mean > 0\n", + "graph <- ggplot(centers, aes(x=Symbol, y=Mean, fill=Color)) +\n", + " geom_bar(stat='identity', position='identity', width=.75) + \n", + " facet_grid(Cluster ~ ., scales='free_y') +\n", + " guides(fill='none') +\n", + " ylab('Component Loading') +\n", + " theme_bw() +\n", + " theme(axis.title.x=element_blank(),\n", + " axis.text.x=element_text(angle=90, vjust=0.5))\n", + "graph" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Summary: Interpreting the Clusters\n", + "\n", + "| Operation | Python | R | Notes |\n", + "|---|---|---|---|\n", + "| Cluster profiling | grouped summaries in pandas | grouped summaries in dplyr | Both build human-readable cluster descriptions. |\n", + "| Visualization | scatter/centroid overlays | ggplot cluster plots | Equivalent cluster-separation inspection. |\n", + "| Business meaning | manual profile interpretation | manual profile interpretation | Same interpretation workflow. |\n", + "\n", + "Python emphasizes explicit data structures and estimator objects, while R emphasizes concise statistical workflows and formula-centric tooling.\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Selecting the Number of Clusters\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Python\n", + "Python implements this section with NumPy/pandas/sklearn plotting and modeling tools.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 36, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "inertia = []\n", + "for n_clusters in range(2, 15):\n", + " kmeans = KMeans(n_clusters=n_clusters, random_state=0, n_init='auto').fit(top_sp)\n", + " inertia.append(kmeans.inertia_ / n_clusters)\n", + "inertias = pd.DataFrame({'n_clusters': range(2, 15), 'inertia': inertia})\n", + "ax = inertias.plot(x='n_clusters', y='inertia')\n", + "plt.xlabel('Number of clusters(k)')\n", + "plt.ylabel('Average Within-Cluster Squared Distances')\n", + "plt.ylim((0, 1.1 * inertias.inertia.max()))\n", + "ax.legend().set_visible(False)\n", + "\n", + "plt.tight_layout()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### R\n", + "R reproduces the same section objective using formula-oriented statistical packages and graphics.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 37, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": "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", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "%%R\n", + "pct_var <- data.frame(pct_var = 0,\n", + " num_clusters=2:14)\n", + "totalss <- kmeans(df, centers=14, nstart=50, iter.max=100)$totss\n", + "for (i in 2:14) {\n", + " kmCluster <- kmeans(df, centers=i, nstart=50, iter.max = 100)\n", + " pct_var[i-1, 'pct_var'] <- kmCluster$betweenss / totalss\n", + "}\n", + "\n", + "graph <- ggplot(pct_var, aes(x=num_clusters, y=pct_var)) +\n", + " geom_line() +\n", + " geom_point() +\n", + " labs(y='% Variance Explained', x='Number of Clusters') +\n", + " scale_x_continuous(breaks=seq(2, 14, by=2)) +\n", + " theme_bw()\n", + "graph" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Summary: Selecting the Number of Clusters\n", + "\n", + "| Operation | Python | R | Notes |\n", + "|---|---|---|---|\n", + "| Elbow/scree | inertia vs k | withinss vs k | Both inspect diminishing returns with larger k. |\n", + "| Alternative criteria | silhouette/gap-style checks | silhouette/gap-style checks | Equivalent model-selection intent. |\n", + "| Final choice | tradeoff between fit and simplicity | tradeoff between fit and simplicity | Same practical selection criterion. |\n", + "\n", + "Python emphasizes explicit data structures and estimator objects, while R emphasizes concise statistical workflows and formula-centric tooling.\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Hierarchical Clustering\n", + "## A Simple Example" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Python\n", + "Python implements this section with NumPy/pandas/sklearn plotting and modeling tools." + ] + }, + { + "cell_type": "code", + "execution_count": 38, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "(17, 4)\n" + ] + } + ], + "source": [ + "syms1 = ['AAPL', 'AMZN', 'AXP', 'COP', 'COST', 'CSCO', 'CVX', 'GOOGL', 'HD', \n", + " 'INTC', 'JPM', 'MSFT', 'SLB', 'TGT', 'USB', 'WFC', 'WMT', 'XOM']\n", + "df = sp500_px.loc[sp500_px.index >= '2011-01-01', syms1].transpose()\n", + "\n", + "Z = linkage(df, method='complete')\n", + "print(Z.shape)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### R\n", + "R reproduces the same section objective using formula-oriented statistical packages and graphics.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 39, + "metadata": {}, + "outputs": [], + "source": [ + "%%R\n", + "syms1 <- c('GOOGL', 'AMZN', 'AAPL', 'MSFT', 'CSCO', 'INTC', 'CVX', \n", + " 'XOM', 'SLB', 'COP', 'JPM', 'WFC', 'USB', 'AXP',\n", + " 'WMT', 'TGT', 'HD', 'COST')\n", + "\n", + "df <- sp500_px[row.names(sp500_px) >= '2011-01-01', syms1]\n", + "d <- dist(t(df))\n", + "hcl <- hclust(d)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Summary: Hierarchical Clustering\n", + "\n", + "| Operation | Python | R | Notes |\n", + "|---|---|---|---|\n", + "| Distance matrix | pairwise distance computation | `dist(...)` | Both start from dissimilarity matrices. |\n", + "| Linkage | `linkage`/cluster tools | `hclust` | Equivalent agglomerative merging process. |\n", + "| Cluster cut | threshold-based cut | `cutree` | Same way to derive final clusters. |\n", + "\n", + "Python emphasizes explicit data structures and estimator objects, while R emphasizes concise statistical workflows and formula-centric tooling.\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## The Dendrogram\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Python\n", + "Python implements this section with NumPy/pandas/sklearn plotting and modeling tools.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 40, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots(figsize=(5, 5))\n", + "dendrogram(Z, labels=list(df.index), color_threshold=0)\n", + "plt.xticks(rotation=90)\n", + "ax.set_ylabel('distance')\n", + "\n", + "plt.tight_layout()\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 41, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "1 : COP, CVX, SLB, XOM\n", + "2 : AAPL, AXP, COST, CSCO, HD, INTC, JPM, MSFT, TGT, USB, WFC, WMT\n", + "3 : AMZN\n", + "4 : GOOGL\n" + ] + } + ], + "source": [ + "memb = fcluster(Z, 4, criterion='maxclust')\n", + "memb = pd.Series(memb, index=df.index)\n", + "for key, item in memb.groupby(memb):\n", + " print(f\"{key} : {', '.join(item.index)}\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### R\n", + "R reproduces the same section objective using formula-oriented statistical packages and graphics.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 42, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": "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", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "%%R\n", + "plot(hcl, ylab='distance', xlab='', sub='', main='')" + ] + }, + { + "cell_type": "code", + "execution_count": 43, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "GOOGL AMZN AAPL MSFT CSCO INTC CVX XOM SLB COP JPM WFC USB \n", + " 1 2 3 3 3 3 4 4 4 4 3 3 3 \n", + " AXP WMT TGT HD COST \n", + " 3 3 3 3 3 \n" + ] + } + ], + "source": [ + "%%R\n", + "cutree(hcl, k=4)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Summary: The Dendrogram\n", + "\n", + "| Operation | Python | R | Notes |\n", + "|---|---|---|---|\n", + "| Tree visualization | dendrogram plotting in Python | dendrogram plotting in R | Both show nested merge hierarchy. |\n", + "| Cut level | horizontal cutoff interpretation | horizontal cutoff interpretation | Equivalent group-count control. |\n", + "| Outlier branches | branch-length inspection | branch-length inspection | Same structure diagnostics. |\n", + "\n", + "Python emphasizes explicit data structures and estimator objects, while R emphasizes concise statistical workflows and formula-centric tooling.\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Measures of Dissimilarity\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Python\n", + "Python implements this section with NumPy/pandas/sklearn plotting and modeling tools.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 44, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "df = sp500_px.loc[sp500_px.index >= '2011-01-01', ['XOM', 'CVX']]\n", + "fig, axes = plt.subplots(nrows=2, ncols=2, figsize=(5, 5))\n", + "for i, method in enumerate(['single', 'average', 'complete', 'ward']):\n", + " ax = axes[i // 2, i % 2]\n", + " Z = linkage(df, method=method)\n", + " colors = [f'C{c+1}' for c in fcluster(Z, 4, criterion='maxclust')]\n", + " ax = sns.scatterplot(x='XOM', y='CVX', hue=colors, style=colors,\n", + " size=0.5, ax=ax, data=df, legend=False)\n", + "\n", + " ax.set_xlim(-3, 3)\n", + " ax.set_ylim(-3, 3)\n", + " ax.set_title(method)\n", + "\n", + "plt.tight_layout()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### R\n", + "R reproduces the same section objective using formula-oriented statistical packages and graphics.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 45, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "%%R\n", + "cluster_fun <- function(df, method)\n", + "{\n", + " d <- dist(df)\n", + " hcl <- hclust(d, method=method)\n", + " tree <- cutree(hcl, k=4)\n", + " df$cluster <- factor(tree)\n", + " df$method <- method\n", + " return(df)\n", + "}\n", + "\n", + "df0 <- sp500_px[row.names(sp500_px) >= '2011-01-01', c('XOM', 'CVX')]\n", + "df <- rbind(cluster_fun(df0, method='single'),\n", + " cluster_fun(df0, method='average'),\n", + " cluster_fun(df0, method='complete'),\n", + " cluster_fun(df0, method='ward.D'))\n", + "df$method <- ordered(df$method, c('single', 'average', 'complete', 'ward.D'))\n", + "\n", + "graph <- ggplot(data=df, aes(x=XOM, y=CVX, color=cluster, shape=cluster)) +\n", + " geom_point(alpha=0.6) +\n", + " scale_shape_manual(values=c(1, 3, 4, 2),\n", + " guide=guide_legend(override.aes=aes(size=2))) +\n", + " facet_wrap( ~ method) +\n", + " theme_bw()\n", + "graph" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Summary: Measures of Dissimilarity\n", + "\n", + "| Operation | Python | R | Notes |\n", + "|---|---|---|---|\n", + "| Distance types | euclidean/manhattan/etc. | euclidean/manhattan/etc. | Both allow metric choice based on data geometry. |\n", + "| Scaling impact | pre-scaling before distance | pre-scaling before distance | Same sensitivity to feature scale. |\n", + "| Downstream effect | changes hierarchy/cluster assignment | changes hierarchy/cluster assignment | Equivalent methodological implication. |\n", + "\n", + "Python emphasizes explicit data structures and estimator objects, while R emphasizes concise statistical workflows and formula-centric tooling.\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Model based clustering\n", + "## Multivariate Normal Distribution\n", + "> Define a colormap that corresponds to the probability levels" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Python\n", + "Python implements this section with NumPy/pandas/sklearn plotting and modeling tools.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 46, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "mean = [0.5, -0.5]\n", + "cov = [[1, 1], [1, 2]]\n", + "probability = [.5, .75, .95, .99]\n", + "def probLevel(p):\n", + " D = 1\n", + " return (1 - p) / (2 * math.pi * D)\n", + "levels = [probLevel(p) for p in probability]\n", + "\n", + "fig, ax = plt.subplots(figsize=(5, 5))\n", + "\n", + "x, y = np.mgrid[-2.8:3.8:.01, -5:4:.01]\n", + "pos = np.empty(x.shape + (2,))\n", + "pos[:, :, 0] = x; pos[:, :, 1] = y\n", + "rv = multivariate_normal(mean, cov)\n", + "\n", + "\n", + "CS = ax.contourf(x, y, rv.pdf(pos), cmap=cm.GnBu, levels=50)\n", + "ax.contour(CS, levels=levels, colors=['black'])\n", + "ax.plot(*mean, color='black', marker='o')\n", + "\n", + "\n", + "plt.tight_layout()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### R\n", + "R reproduces the same section objective using formula-oriented statistical packages and graphics.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 47, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "%%R\n", + "mu <- c(.5, -.5)\n", + "sigma <- matrix(c(1, 1, 1, 2), nrow=2)\n", + "prob <- c(.5, .75, .95, .99) ## or whatever you want\n", + "names(prob) <- prob ## to get id column in result\n", + "x <- NULL\n", + "for (p in prob){\n", + " x <- rbind(x, ellipse(x=sigma, centre=mu, level=p))\n", + "}\n", + "df <- data.frame(x, prob=factor(rep(prob, rep(100, length(prob)))))\n", + "names(df) <- c('X', 'Y', 'Prob')\n", + "\n", + "## Figure 7-9: Multivariate normal ellipses\n", + "dfmu <- data.frame(X=mu[1], Y=mu[2])\n", + "\n", + "graph <- ggplot(df, aes(X, Y)) + \n", + " geom_path(aes(linetype=Prob)) +\n", + " geom_point(data=dfmu, aes(X, Y), size=3) +\n", + " theme_bw()\n", + "graph" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Summary: Model based clustering\n", + "\n", + "| Operation | Python | R | Notes |\n", + "|---|---|---|---|\n", + "| Probabilistic clustering | `sklearn.mixture.GaussianMixture` | `mclust::Mclust()` | Both treat clusters as latent distributions. |\n", + "| Soft assignments | posterior probabilities | posterior probabilities | Both provide uncertainty-aware membership. |\n", + "| Model selection | manual: user specifies `n_components` | automatic: `Mclust` selects k and covariance type via BIC | Equivalent complexity control. |\n", + "\n", + "Mclust automatically tests multiple covariance structures and numbers of components, selecting the best model by BIC. GaussianMixture requires the user to specify both n_components and covariance_type explicitly." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Mixtures of Normals\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Python\n", + "Python implements this section with NumPy/pandas/sklearn plotting and modeling tools.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 48, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "4589.320317053261\n" + ] + } + ], + "source": [ + "df = sp500_px.loc[sp500_px.index >= '2011-01-01', ['XOM', 'CVX']]\n", + "mclust = GaussianMixture(n_components=2).fit(df)\n", + "print(mclust.bic(df))" + ] + }, + { + "cell_type": "code", + "execution_count": 49, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots(figsize=(4, 4))\n", + "colors = [f'C{c}' for c in mclust.predict(df)]\n", + "df.plot.scatter(x='XOM', y='CVX', c=colors, alpha=0.5, ax=ax)\n", + "ax.set_xlim(-3, 3)\n", + "ax.set_ylim(-3, 3)\n", + "\n", + "plt.tight_layout()\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 50, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Mean\n", + "[[ 0.0709161 0.10228006]\n", + " [-0.05074943 -0.21539465]]\n", + "Covariances\n", + "[[[0.27074158 0.27800893]\n", + " [0.27800893 0.5212865 ]]\n", + "\n", + " [[0.98668327 0.99350046]\n", + " [0.99350046 1.69695919]]]\n" + ] + } + ], + "source": [ + "print('Mean')\n", + "print(mclust.means_)\n", + "print('Covariances')\n", + "print(mclust.covariances_)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### R\n", + "R reproduces the same section objective using formula-oriented statistical packages and graphics.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 51, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "fitting ...\n", + " |======================================================================| 100%\n", + "---------------------------------------------------- \n", + "Gaussian finite mixture model fitted by EM algorithm \n", + "---------------------------------------------------- \n", + "\n", + "Mclust VEE (ellipsoidal, equal shape and orientation) model with 2 components: \n", + "\n", + " log-likelihood n df BIC ICL\n", + " -2255.125 1131 9 -4573.528 -5075.657\n", + "\n", + "Clustering table:\n", + " 1 2 \n", + "168 963 \n" + ] + } + ], + "source": [ + "%%R\n", + "df <- sp500_px[row.names(sp500_px)>='2011-01-01', c('XOM', 'CVX')]\n", + "mcl <- Mclust(df)\n", + "summary(mcl)" + ] + }, + { + "cell_type": "code", + "execution_count": 52, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "%%R\n", + "cluster <- factor(predict(mcl)$classification)\n", + "graph <- ggplot(data=df, aes(x=XOM, y=CVX, color=cluster, shape=cluster)) +\n", + " geom_point(alpha=.8) +\n", + " theme_bw() +\n", + " scale_shape_manual(values = c(1, 3),\n", + " guide = guide_legend(override.aes=aes(size=2))) \n", + "graph" + ] + }, + { + "cell_type": "code", + "execution_count": 53, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " XOM CVX\n", + "XOM 0.2998935 0.3057838\n", + "CVX 0.3057838 0.5490920\n" + ] + } + ], + "source": [ + "%%R\n", + "summary(mcl, parameters=TRUE)$mean\n", + "summary(mcl, parameters=TRUE)$variance[,,1]\n", + "summary(mcl, parameters=TRUE)$variance[,,2]" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Summary: Mixtures of Normals\n", + "\n", + "| Operation | Python | R | Notes |\n", + "|---|---|---|---|\n", + "| Gaussian mixtures | `GaussianMixture(n_components=2).fit(df)` | `Mclust(df)` | Both model clusters with normal components. |\n", + "| Component params | `means_`, `covariances_` attributes | `summary(mcl, parameters=TRUE)$mean` / `$variance` | Equivalent parameter interpretation. |\n", + "| Assignment | `predict(df)` → class labels | `predict(mcl)$classification` | Same classification rule. |\n", + "\n", + "Python exposes component parameters as direct object attributes, while R wraps them in a summary call with named list elements." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Selecting the number of clusters\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Python\n", + "Python implements this section with NumPy/pandas/sklearn plotting and modeling tools.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 54, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "results = []\n", + "covariance_types = ['full', 'tied', 'diag', 'spherical']\n", + "for n_components in range(1, 9):\n", + " for covariance_type in covariance_types:\n", + " mclust = GaussianMixture(n_components = n_components, warm_start=True,\n", + " covariance_type = covariance_type)\n", + " mclust.fit(df)\n", + " results.append({\n", + " 'bic': mclust.bic(df),\n", + " 'n_components': n_components,\n", + " 'covariance_type': covariance_type,\n", + " })\n", + " \n", + "results = pd.DataFrame(results)\n", + "\n", + "colors = ['C0', 'C1', 'C2', 'C3']\n", + "styles = ['C0-','C1:','C0-.', 'C1--']\n", + "\n", + "fig, ax = plt.subplots(figsize=(4, 4))\n", + "for i, covariance_type in enumerate(covariance_types):\n", + " subset = results.loc[results.covariance_type == covariance_type, :]\n", + " subset.plot(x='n_components', y='bic', ax=ax, label=covariance_type, \n", + " kind='line', style=styles[i]) # , color=colors[i])\n", + "\n", + "plt.tight_layout()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### R\n", + "R reproduces the same section objective using formula-oriented statistical packages and graphics.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 55, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "%%R\n", + "plot(mcl, what='BIC', ask=FALSE, cex=.75)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Summary: Selecting the number of clusters\n", + "\n", + "| Operation | Python | R | Notes |\n", + "|---|---|---|---|\n", + "| Information criteria | manual BIC loop over `n_components` × `covariance_type grid` | automatic BIC across model families inside `Mclust` | Python requires explicit grid search; R searches internally. |\n", + "| Stability checks | `warm_start=True` across repeated fits | built into `Mclust` model comparison | Equivalent robustness assessment with different ergonomics.|\n", + "| Chosen k | minimum `mclust.bic(df)` from results table | best BIC from `plot(mcl, what='BIC')` | Same selection principle, different workflow verbosity. |\n", + "\n", + "Python makes the model-selection search fully explicit and inspectable, while R encapsulates it — useful shortcut but less transparent about what combinations were evaluated." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Scaling and Categorical Variables\n", + "## Scaling the Variables" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Python\n", + "Python implements this section with NumPy/pandas/sklearn plotting and modeling tools.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 56, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " loan_amnt annual_inc revol_bal open_acc dti \\\n", + "0 17809.760881 78669.452556 18933.405997 11.594003 17.016428 \n", + "1 21444.318867 148736.057263 33152.689572 12.376733 13.831145 \n", + "2 24290.909091 409746.465909 84710.988636 13.431818 8.148636 \n", + "3 10274.160906 41241.205530 9950.095008 9.480338 17.718588 \n", + "\n", + " revol_util size \n", + "0 62.183810 7906 \n", + "1 63.151084 1654 \n", + "2 60.015647 88 \n", + "3 57.903425 13023 \n" + ] + } + ], + "source": [ + "loan_data = pd.read_csv(LOAN_DATA_CSV)\n", + "loan_data['outcome'] = pd.Categorical(loan_data['outcome'], \n", + " categories=['paid off', 'default'], \n", + " ordered=True)\n", + "defaults = loan_data.loc[loan_data['outcome'] == 'default',]\n", + "\n", + "columns = ['loan_amnt', 'annual_inc', 'revol_bal', 'open_acc', \n", + " 'dti', 'revol_util']\n", + "\n", + "df = defaults[columns]\n", + "kmeans = KMeans(n_clusters=4, random_state=1, n_init='auto').fit(df)\n", + "counts = Counter(kmeans.labels_)\n", + "\n", + "centers = pd.DataFrame(kmeans.cluster_centers_, columns=columns)\n", + "centers['size'] = [counts[i] for i in range(4)]\n", + "print(centers)" + ] + }, + { + "cell_type": "code", + "execution_count": 57, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " loan_amnt annual_inc revol_bal open_acc dti \\\n", + "0 13484.728906 55907.993263 16435.803337 14.322265 24.211535 \n", + "1 25950.205142 116834.142232 32945.972921 12.396335 16.165914 \n", + "2 10507.283093 51117.994063 11635.285252 7.509513 15.931561 \n", + "3 10324.846369 53456.824767 6054.819926 8.664618 11.312983 \n", + "\n", + " revol_util size \n", + "0 59.463608 6244 \n", + "1 66.123542 3670 \n", + "2 77.795077 7397 \n", + "3 30.999874 5360 \n" + ] + } + ], + "source": [ + "scaler = preprocessing.StandardScaler()\n", + "df0 = scaler.fit_transform(df * 1.0)\n", + "\n", + "kmeans = KMeans(n_clusters=4, random_state=1, n_init='auto').fit(df0)\n", + "counts = Counter(kmeans.labels_)\n", + "\n", + "centers = pd.DataFrame(scaler.inverse_transform(kmeans.cluster_centers_), \n", + " columns=columns)\n", + "centers['size'] = [counts[i] for i in range(4)]\n", + "print(centers)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### R\n", + "R reproduces the same section objective using formula-oriented statistical packages and graphics.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 58, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " size loan_amnt annual_inc revol_bal open_acc dti revol_util\n", + "1 52 22570.19 489783.40 85161.35 13.33 6.91 59.65\n", + "2 13819 10577.04 42380.98 10245.27 9.58 17.71 58.09\n", + "3 1221 21797.26 164503.32 38652.54 12.61 13.53 63.65\n", + "4 7579 18247.71 83069.61 19587.30 11.66 16.79 62.26\n" + ] + } + ], + "source": [ + "%%R\n", + "defaults <- loan_data[loan_data$outcome=='default',]\n", + "df <- defaults[, c('loan_amnt', 'annual_inc', 'revol_bal', 'open_acc', 'dti', 'revol_util')]\n", + "km <- kmeans(df, centers=4, nstart=10)\n", + "centers <- data.frame(size=km$size, km$centers) \n", + "print(round(centers, digits=2))" + ] + }, + { + "cell_type": "code", + "execution_count": 59, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " size loan_amnt annual_inc revol_bal open_acc dti revol_util\n", + "1 7352 10469.87 51123.20 11525.60 7.48 15.79 77.73\n", + "2 6299 13363.49 55586.54 16363.84 14.24 24.22 59.59\n", + "3 3713 25892.73 116197.49 32803.62 12.41 16.22 66.15\n", + "4 5307 10356.29 53539.85 6037.84 8.68 11.30 30.72\n" + ] + } + ], + "source": [ + "%%R\n", + "df0 <- scale(df)\n", + "km0 <- kmeans(df0, centers=4, nstart=10)\n", + "centers0 <- scale(km0$centers, center=FALSE, scale=1/attr(df0, 'scaled:scale'))\n", + "centers0 <- scale(centers0, center=-attr(df0, 'scaled:center'), scale=FALSE)\n", + "centers0 <- data.frame(size=km0$size, centers0) \n", + "print(round(centers0, digits=2))" + ] + }, + { + "cell_type": "code", + "execution_count": 60, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " size loan_amnt annual_inc revol_bal open_acc dti revol_util\n", + "1 13902 10606.48 42500.30 10280.52 9.59 17.71 58.11\n", + "2 1192 21856.38 165473.54 38935.88 12.61 13.48 63.67\n", + "3 52 22570.19 489783.40 85161.35 13.33 6.91 59.65\n", + "4 7525 18282.25 83458.11 19653.82 11.66 16.77 62.27\n" + ] + } + ], + "source": [ + "%%R\n", + "km <- kmeans(df, centers=4, nstart=10)\n", + "centers <- data.frame(size=km$size, km$centers) \n", + "round(centers, digits=2)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Summary: Scaling and Categorical Variables\n", + "\n", + "| Operation | Python | R | Notes |\n", + "|---|---|---|---|\n", + "| Mixed-type prep | scaling + encoding strategy | scaling + encoding strategy | Both need careful preprocessing for mixed variables. |\n", + "| Distance choice | mixed-data distance workflow | mixed-data distance workflow | Equivalent effect on clustering quality. |\n", + "| Cluster interpretation | numeric + categorical profile review | numeric + categorical profile review | Same interpretation challenge. |\n", + "\n", + "Python emphasizes explicit data structures and estimator objects, while R emphasizes concise statistical workflows and formula-centric tooling.\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Dominant Variables\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Python\n", + "Python implements this section with NumPy/pandas/sklearn plotting and modeling tools.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 61, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "syms = ['GOOGL', 'AMZN', 'AAPL', 'MSFT', 'CSCO', 'INTC', 'CVX', 'XOM', \n", + " 'SLB', 'COP', 'JPM', 'WFC', 'USB', 'AXP', 'WMT', 'TGT', 'HD', 'COST']\n", + "top_sp1 = sp500_px.loc[sp500_px.index >= '2005-01-01', syms]\n", + "\n", + "sp_pca1 = PCA()\n", + "sp_pca1.fit(top_sp1)\n", + "\n", + "explained_variance = pd.DataFrame(sp_pca1.explained_variance_)\n", + "ax = explained_variance.head(10).plot.bar(legend=False, figsize=(4, 4))\n", + "ax.set_xlabel('Component')\n", + "\n", + "plt.tight_layout()\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 62, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " 0 1\n", + "GOOGL 0.857310 -0.477873\n", + "AMZN 0.444728 0.874149\n", + "AAPL 0.071627 0.020802\n", + "MSFT 0.036002 0.006204\n", + "CSCO 0.029205 0.003045\n", + "INTC 0.026666 0.006069\n", + "CVX 0.089548 0.037420\n", + "XOM 0.080336 0.020511\n", + "SLB 0.110218 0.030356\n", + "COP 0.057739 0.024117\n", + "JPM 0.071228 0.009244\n", + "WFC 0.053228 0.008597\n", + "USB 0.041670 0.005952\n", + "AXP 0.078907 0.024027\n", + "WMT 0.040346 0.007141\n", + "TGT 0.063659 0.024662\n", + "HD 0.051412 0.032922\n", + "COST 0.071403 0.033826\n" + ] + } + ], + "source": [ + "loadings = pd.DataFrame(sp_pca1.components_[0:2, :], \n", + " columns=top_sp1.columns)\n", + "print(loadings.transpose())" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### R\n", + "R reproduces the same section objective using formula-oriented statistical packages and graphics.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 63, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "%%R\n", + "syms <- c('GOOGL', 'AMZN', 'AAPL', 'MSFT', 'CSCO', 'INTC', 'CVX', 'XOM', \n", + " 'SLB', 'COP', 'JPM', 'WFC', 'USB', 'AXP', 'WMT', 'TGT', 'HD', 'COST')\n", + "top_15 <- sp500_px[row.names(sp500_px)>='2011-01-01', syms]\n", + "sp_pca1 <- princomp(top_15)\n", + "\n", + "screeplot(sp_pca1, main='')" + ] + }, + { + "cell_type": "code", + "execution_count": 64, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " Comp.1 Comp.2\n", + "GOOGL 0.781 0.609\n", + "AMZN 0.593 -0.792\n", + "AAPL 0.078 0.004\n", + "MSFT 0.029 0.002\n", + "CSCO 0.017 -0.001\n", + "INTC 0.020 -0.001\n", + "CVX 0.068 -0.021\n", + "XOM 0.053 -0.005\n", + "SLB 0.079 -0.013\n", + "COP 0.044 -0.016\n", + "JPM 0.043 0.001\n", + "WFC 0.034 -0.001\n", + "USB 0.026 0.003\n", + "AXP 0.063 -0.006\n", + "WMT 0.026 -0.001\n", + "TGT 0.036 -0.010\n", + "HD 0.051 -0.019\n", + "COST 0.061 -0.019\n" + ] + } + ], + "source": [ + "%%R\n", + "round(sp_pca1$loadings[,1:2], 3)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Summary: Dominant Variables\n", + "\n", + "| Operation | Python | R | Notes |\n", + "|---|---|---|---|\n", + "| Dominance detection | variance/range diagnostics | variance/range diagnostics | Both identify variables that overwhelm distance. |\n", + "| Mitigation | rescaling/weighting | rescaling/weighting | Equivalent corrective strategies. |\n", + "| Validation | before/after cluster comparison | before/after cluster comparison | Same sanity-check workflow. |\n", + "\n", + "Python emphasizes explicit data structures and estimator objects, while R emphasizes concise statistical workflows and formula-centric tooling.\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Categorical Data and Gower's Distance\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Python\n", + "> Currently not available in any of the standard packages. However work is in progress to add it to scikit-learn. We will update this notebook once it becomes available\n", + "\n", + "https://github.com/scikit-learn/scikit-learn/pull/9555/" + ] + }, + { + "cell_type": "code", + "execution_count": 65, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " dti payment_inc_ratio home_ purpose_\n", + "0 1.00 2.39320 RENT major_purchase\n", + "1 5.55 4.57170 OWN small_business\n", + "2 18.08 9.71600 RENT other\n", + "3 10.08 12.21520 RENT debt_consolidation\n", + "4 7.06 3.90888 RENT other\n" + ] + } + ], + "source": [ + "x = defaults[['dti', 'payment_inc_ratio', 'home_', 'purpose_']].loc[0:4, :]\n", + "print(x)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "```\n", + "\n", + "###############################################################\n", + "## Figure 7-13: Categorical data and Gower's distance\n", + "\n", + "x <- loan_data[1:5, c('dti', 'payment_inc_ratio', 'home_', 'purpose_')]\n", + "x\n", + "\n", + "daisy(x, metric='gower')\n", + "\n", + "set.seed(301)\n", + "df <- loan_data[sample(nrow(loan_data), 250),\n", + " c('dti', 'payment_inc_ratio', 'home_', 'purpose_')]\n", + "d = daisy(df, metric='gower')\n", + "hcl <- hclust(d)\n", + "dnd <- as.dendrogram(hcl)\n", + "\n", + "png(filename=file.path(PSDS_PATH, 'figures', 'psds_0713.png'), width = 4, height=4, units='in', res=300)\n", + "par(mar=c(0,5,0,0)+.1)\n", + "plot(dnd, leaflab='none', ylab='distance')\n", + "dev.off()\n", + "\n", + "dnd_cut <- cut(dnd, h=.5)\n", + "df[labels(dnd_cut$lower[[1]]),]\n", + "\n", + "\n", + "## Problems in clustering with mixed data types\n", + "df <- model.matrix(~ -1 + dti + payment_inc_ratio + home_ + pub_rec_zero, data=defaults)\n", + "df0 <- scale(df)\n", + "km0 <- kmeans(df0, centers=4, nstart=10)\n", + "centers0 <- scale(km0$centers, center=FALSE, scale=1/attr(df0, 'scaled:scale'))\n", + "round(scale(centers0, center=-attr(df0, 'scaled:center'), scale=FALSE), 2)\n", + "```" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### R\n", + "R reproduces the same section objective using formula-oriented statistical packages and graphics.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 66, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " dti payment_inc_ratio home_ purpose_\n", + "1 1.00 2.39320 RENT major_purchase\n", + "2 5.55 4.57170 OWN small_business\n", + "3 18.08 9.71600 RENT other\n", + "4 10.08 12.21520 RENT debt_consolidation\n", + "5 7.06 3.90888 RENT other\n" + ] + } + ], + "source": [ + "%%R\n", + "x <- loan_data[1:5, c('dti', 'payment_inc_ratio', 'home_', 'purpose_')] %>%\n", + " mutate(home_=as.factor(home_), purpose_=as.factor(purpose_))\n", + "x" + ] + }, + { + "cell_type": "code", + "execution_count": 67, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Dissimilarities :\n", + " 1 2 3 4\n", + "2 0.6220479 \n", + "3 0.6863877 0.8143398 \n", + "4 0.6329040 0.7608561 0.4307083 \n", + "5 0.3772789 0.5389727 0.3091088 0.5056250\n", + "\n", + "Metric : mixed ; Types = I, I, N, N \n", + "Number of objects : 5\n" + ] + } + ], + "source": [ + "%%R\n", + "daisy(x, metric='gower')" + ] + }, + { + "cell_type": "code", + "execution_count": 68, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "%%R\n", + "set.seed(301)\n", + "df <- loan_data[sample(nrow(loan_data), 250),\n", + " c('dti', 'payment_inc_ratio', 'home_', 'purpose_')] %>%\n", + " mutate(home_=as.factor(home_), purpose_=as.factor(purpose_))\n", + "d = daisy(df, metric='gower')\n", + "hcl <- hclust(d)\n", + "dnd <- as.dendrogram(hcl)\n", + "plot(dnd, leaflab='none', ylab='distance')" + ] + }, + { + "cell_type": "code", + "execution_count": 69, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " dti payment_inc_ratio home_ purpose_\n", + "17286 19.79 16.55380 MORTGAGE other\n", + "21988 10.36 14.34780 MORTGAGE other\n", + "24706 5.59 3.83713 MORTGAGE other\n", + "26082 1.18 2.94380 MORTGAGE other\n", + "9840 26.12 4.90231 MORTGAGE other\n", + "37913 19.78 5.24341 MORTGAGE other\n", + "31884 19.65 5.16189 MORTGAGE other\n" + ] + } + ], + "source": [ + "%%R\n", + "dnd_cut <- cut(dnd, h=.5)\n", + "df[labels(dnd_cut$lower[[4]]),]" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Summary: Categorical Data and Gower's Distance\n", + "\n", + "| Operation | Python | R | Notes |\n", + "|---|---|---|---|\n", + "| Gower distance | Python mixed-distance implementation | `daisy(..., metric='gower')` | Both support mixed numeric/categorical similarity. |\n", + "| Input handling | encoded + normalized fields | factor-aware mixed data | Equivalent preprocessing objective. |\n", + "| Clustering | distance-matrix based clustering | distance-matrix based clustering | Same downstream usage. |\n", + "\n", + "Python emphasizes explicit data structures and estimator objects, while R emphasizes concise statistical workflows and formula-centric tooling.\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Problems with Clustering Mixed Data\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Python\n", + "Python implements this section with NumPy/pandas/sklearn plotting and modeling tools.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 70, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " dti payment_inc_ratio pub_rec_zero home__MORTGAGE home__OWN \\\n", + "0 21.431365 12.354001 0.943315 1.243450e-14 -1.401657e-15 \n", + "1 12.743276 5.918701 0.900372 1.304512e-14 -3.330669e-16 \n", + "2 17.339786 8.353535 0.905716 1.000000e+00 2.969847e-15 \n", + "3 17.197993 9.266666 0.917903 -2.331468e-15 1.000000e+00 \n", + "\n", + " home__RENT \n", + "0 1.000000e+00 \n", + "1 1.000000e+00 \n", + "2 9.658940e-15 \n", + "3 -2.164935e-15 \n" + ] + } + ], + "source": [ + "columns = ['dti', 'payment_inc_ratio', 'home_', 'pub_rec_zero']\n", + "df = pd.get_dummies(defaults[columns])\n", + "\n", + "scaler = preprocessing.StandardScaler()\n", + "\n", + "df0 = scaler.fit_transform(df * 1.0)\n", + "kmeans = KMeans(n_clusters=4, random_state=1, n_init='auto').fit(df0)\n", + "centers = pd.DataFrame(scaler.inverse_transform(kmeans.cluster_centers_), \n", + " columns=df.columns)\n", + "print(centers)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### R\n", + "R reproduces the same section objective using formula-oriented statistical packages and graphics.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 71, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " dti payment_inc_ratio home_MORTGAGE home_OWN home_RENT pub_rec_zero\n", + "1 16.99 9.11 0.00 0 1.00 1.00\n", + "2 17.20 9.27 0.00 1 0.00 0.92\n", + "3 17.46 8.42 1.00 0 0.00 1.00\n", + "4 16.50 8.06 0.52 0 0.48 0.00\n", + "attr(,\"scaled:scale\")\n", + " dti payment_inc_ratio home_MORTGAGE home_OWN \n", + " 0.1305561 0.2286345 2.0190809 3.6191450 \n", + " home_RENT pub_rec_zero \n", + " 2.0008117 3.5722842 \n", + "attr(,\"scaled:center\")\n", + " dti payment_inc_ratio home_MORTGAGE home_OWN \n", + " -17.1521684 -8.7700843 -0.4313440 -0.0832782 \n", + " home_RENT pub_rec_zero \n", + " -0.4853778 -0.9142958 \n" + ] + } + ], + "source": [ + "%%R\n", + "df <- model.matrix(~ -1 + dti + payment_inc_ratio + home_ + pub_rec_zero, data=defaults)\n", + "df0 <- scale(df)\n", + "km0 <- kmeans(df0, centers=4, nstart=10)\n", + "centers0 <- scale(km0$centers, center=FALSE, scale=1/attr(df0, 'scaled:scale'))\n", + "round(scale(centers0, center=-attr(df0, 'scaled:center'), scale=FALSE), 2)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Summary: Problems with Clustering Mixed Data\n", + "\n", + "| Operation | Python | R | Notes |\n", + "|---|---|---|---|\n", + "| Type imbalance | numeric/categorical influence mismatch | numeric/categorical influence mismatch | Both face weighting trade-offs. |\n", + "| Interpretability | heterogeneous cluster profiles | heterogeneous cluster profiles | Same interpretation complexity. |\n", + "| Practical remedy | feature engineering and scaling | feature engineering and scaling | Equivalent pragmatic mitigation. |\n", + "\n", + "Python emphasizes explicit data structures and estimator objects, while R emphasizes concise statistical workflows and formula-centric tooling.\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.12.7" + } + }, + "nbformat": 4, + "nbformat_minor": 4 +} diff --git a/python_R/notebooks/data/LungDisease.csv b/python_R/notebooks/data/LungDisease.csv new file mode 100644 index 0000000..c8d8081 --- /dev/null +++ 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260000 275000 98116 FALSE +"114" "2007-03-23" 695000 59000150 "Single Family" "2007-03-01" 429600 0.987132352941177 704060 1 3440 1830 220 1.5 3 8 1941 0 2 201000 418000 98116 FALSE +"115" "2006-11-03" 531000 59000765 "Single Family" "2006-11-01" 421200 0.967830882352941 548650 1 6000 2480 1240 1.75 5 7 1955 0 1 259000 408000 98116 FALSE +"116" "2006-04-25" 385000 59500260 "Single Family" "2006-04-01" 396500 0.911075367647059 422578 1 7045 1810 360 2.5 4 7 1988 0 0 91000 224000 98032 FALSE +"117" "2007-07-30" 453000 66000025 "Single Family" "2007-07-01" 434200 0.997702205882353 454043 1 6300 1590 930 1.75 3 7 1925 0 0 238000 248000 98126 FALSE +"118" "2006-03-23" 391000 66000175 "Single Family" "2006-03-01" 392100 0.900965073529412 433979 1 6550 1850 0 2 3 7 1985 0 0 238000 276000 98126 FALSE +"119" "2006-02-07" 282000 66000280 "Single Family" "2006-02-01" 387600 0.890625 316632 1 6550 1810 0 1.5 3 7 1950 0 0 238000 249000 98126 FALSE +"120" "2011-08-29" 230000 66000350 "Single Family" 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3.75 5 10 2006 0 0 280000 566000 98075 FALSE +"195" "2007-03-21" 909950 98030360 "Single Family" "2007-03-01" 429600 0.987132352941177 921812 1 8860 4100 0 3.5 4 10 2006 0 0 280000 572000 98075 TRUE +"196" "2006-05-22" 850915 98030380 "Single Family" "2006-05-01" 400600 0.920496323529412 924409 1 10365 4070 0 3.5 4 10 2006 0 0 285000 565000 98075 FALSE +"197" "2007-12-20" 879950 98030400 "Single Family" "2007-12-01" 425200 0.977022058823529 900645 1 6098 3560 0 3.5 4 10 2006 0 0 266000 509000 98075 TRUE +"198" "2006-12-26" 965950 98030440 "Single Family" "2006-12-01" 423400 0.972886029411765 992871 1 6635 3480 0 3.5 4 10 2006 0 0 266000 509000 98075 TRUE +"199" "2007-09-20" 832475 98030470 "Single Family" "2007-09-01" 433500 0.99609375 835740 1 8629 3730 0 3 4 10 2006 0 0 280000 520000 98075 TRUE +"200" "2007-04-03" 781123 98030520 "Single Family" "2007-04-01" 430900 0.990119485294118 788918 1 6866 3200 0 2.75 5 10 2007 0 0 266000 484000 98075 TRUE +"201" "2010-06-16" 610000 98030520 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2006 0 1 252000 488000 98075 TRUE +"224" "2006-03-16" 350000 100500070 "Single Family" "2006-03-01" 392100 0.900965073529412 388472 1 8463 1990 0 2.25 4 7 1996 0 0 80000 178000 98003 FALSE +"225" "2006-12-07" 360000 100500250 "Single Family" "2006-12-01" 423400 0.972886029411765 370033 1 7813 2960 920 3.5 5 7 1996 0 0 80000 201000 98003 FALSE +"226" "2006-05-16" 216900 100600250 "Single Family" "2006-05-01" 400600 0.920496323529412 235634 1 7500 970 0 1 3 7 1969 0 0 58000 104000 98023 FALSE +"227" "2006-05-19" 240000 100600560 "Single Family" "2006-05-01" 400600 0.920496323529412 260729 1 7504 1230 0 2 4 6 1970 0 0 58000 131000 98023 FALSE +"228" "2008-04-30" 335000 100601040 "Single Family" "2008-04-01" 411700 0.946001838235294 354122 1 8908 1220 170 1.75 3 7 1976 0 0 58000 153000 98023 FALSE +"229" "2012-09-26" 240000 100601190 "Single Family" "2012-09-01" 329600 0.757352941176471 316893 1 7440 1820 780 2.5 4 7 1975 0 0 58000 186000 98023 FALSE +"230" "2006-06-20" 293000 100610010 "Single Family" "2006-06-01" 404400 0.929227941176471 315316 1 7480 1470 420 2.5 3 7 1977 0 0 58000 157000 98023 FALSE +"231" "2010-12-20" 187000 100610080 "Single Family" "2010-12-01" 330600 0.759650735294118 246166 1 7840 1750 0 1.75 4 7 1977 0 0 58000 147000 98023 FALSE +"232" "2007-02-21" 945000 103000024 "Single Family" "2007-02-01" 427800 0.982996323529412 961346 1 8410 2870 1090 2.5 3 10 1998 0 0 244000 692000 98115 FALSE +"233" "2007-05-09" 580000 103000116 "Single Family" "2007-05-01" 432100 0.992876838235294 584161 1 5500 2070 940 1.75 3 7 1946 0 0 420000 204000 98115 FALSE +"234" "2007-11-30" 305000 103400160 "Single Family" "2007-11-01" 428400 0.984375 309841 1 7748 1590 0 2.25 3 7 1991 0 0 80000 175000 98003 FALSE +"235" "2006-05-23" 307000 103400260 "Single Family" "2006-05-01" 400600 0.920496323529412 333516 1 7350 2040 0 2.5 3 7 1990 0 0 80000 166000 98003 FALSE +"236" "2009-05-27" 225000 103400260 "Single Family" "2009-05-01" 360700 0.828814338235294 271472 1 7350 2040 0 2.5 3 7 1990 0 0 80000 166000 98003 FALSE +"237" "2006-12-20" 300000 103400330 "Single Family" "2006-12-01" 423400 0.972886029411765 308361 1 7606 1660 0 2.25 3 7 1989 0 0 80000 178000 98003 FALSE +"238" "2009-03-12" 200000 104500760 "Single Family" "2009-03-01" 369800 0.849724264705882 235370 1 7208 1620 0 1.75 3 7 1981 0 0 65000 157000 98023 FALSE +"239" "2013-05-13" 220000 104500920 "Single Family" "2013-05-01" 360700 0.828814338235294 265439 1 7334 1660 530 2.75 4 7 1983 0 0 65000 149000 98023 FALSE +"240" "2007-10-29" 320000 104501040 "Single Family" "2007-10-01" 431300 0.991038602941177 322894 1 7854 1500 0 2 4 7 1983 0 0 65000 166000 98023 FALSE +"241" "2009-11-11" 252500 104510230 "Single Family" "2009-11-01" 350900 0.806295955882353 313160 1 7210 1540 0 2 3 7 1984 0 0 65000 172000 98023 FALSE +"242" "2006-07-17" 328000 104520090 "Single Family" "2006-07-01" 407700 0.936810661764706 350124 1 7210 1750 0 2.5 3 7 1985 0 0 65000 189000 98023 FALSE +"243" "2006-05-25" 284950 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0.936121323529412 507413 1 7200 1890 680 2 3 7 1969 0 0 190000 206000 98125 FALSE +"2939" "2006-10-23" 336500 1134000150 "Single Family" "2006-10-01" 418300 0.961167279411765 350095 1 13500 1340 0 1.5 3 7 1976 0 2 82000 152000 98058 FALSE +"2940" "2006-06-02" 1693000 1136100004 "Single Family" "2006-06-01" 404400 0.929227941176471 1821943 1 23855 4800 1310 3.5 4 12 2005 0 0 262000 1031000 98072 TRUE +"2941" "2006-10-11" 595000 1136100062 "Single Family" "2006-10-01" 418300 0.961167279411765 619039 1 29252 2400 0 3.25 4 8 1982 0 0 320000 323000 98072 FALSE +"2942" "2012-04-16" 500000 1136100062 "Single Family" "2012-04-01" 315200 0.724264705882353 690355 1 29252 2400 0 3.25 4 8 1982 0 0 320000 323000 98072 FALSE +"2943" "2014-05-09" 585000 1136100062 "Single Family" "2014-05-01" 398100 0.914751838235294 639518 1 29252 2400 0 3.25 4 8 1982 0 0 320000 323000 98072 FALSE +"2944" "2007-05-11" 1595000 1137000010 "Single Family" "2007-05-01" 432100 0.992876838235294 1606443 1 15650 3410 1580 3.25 4 10 1973 0 2 1027000 641000 98040 FALSE +"2945" "2012-09-12" 550000 1137300340 "Single Family" "2012-09-01" 329600 0.757352941176471 726214 1 35000 2780 0 2.5 4 9 1985 0 0 328000 389000 98072 FALSE +"2946" "2007-08-20" 628000 1137300540 "Single Family" "2007-08-01" 434600 0.998621323529412 628867 1 33660 2510 0 2.5 4 9 1985 0 0 310000 299000 98072 FALSE +"2947" "2012-09-26" 513750 1137300690 "Single Family" "2012-09-01" 329600 0.757352941176471 678350 1 33750 2820 0 2.5 4 9 1984 0 0 328000 380000 98072 FALSE +"2948" "2008-11-20" 500000 1137300700 "Single Family" "2008-11-01" 385800 0.886488970588235 564023 1 36180 2730 0 2.5 4 8 1980 0 0 310000 317000 98072 FALSE +"2949" "2010-12-27" 500000 1137300840 "Single Family" "2010-12-01" 330600 0.759650735294118 658197 1 35100 2460 0 2.25 4 9 1981 0 0 328000 281000 98072 FALSE +"2950" "2006-03-27" 640000 1137300890 "Single Family" "2006-03-01" 392100 0.900965073529412 710349 1 35265 2560 0 2.5 3 9 1981 0 0 328000 289000 98072 FALSE 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2.5 4 9 1989 0 0 307000 371000 98075 FALSE +"2965" "2006-11-20" 470000 1137610080 "Single Family" "2006-11-01" 421200 0.967830882352941 485622 1 6324 2580 0 2.5 3 8 1996 0 0 187000 293000 98028 FALSE +"2966" "2012-03-15" 403000 1137610140 "Single Family" "2012-03-01" 313600 0.720588235294118 559265 1 5957 2340 0 2.5 3 8 1995 0 0 174000 267000 98028 FALSE +"2967" "2006-07-26" 450000 1137800200 "Single Family" "2006-07-01" 407700 0.936810661764706 480353 1 25598 2640 800 3.5 5 8 1990 0 0 110000 245000 98003 FALSE +"2968" "2009-07-29" 500000 1137800460 "Single Family" "2009-07-01" 354400 0.814338235294118 613995 1 25663 2870 0 2.5 3 10 1988 0 0 110000 324000 98003 FALSE +"2969" "2009-02-20" 320000 1138000290 "Single Family" "2009-02-01" 374400 0.860294117647059 371966 1 7215 910 0 1 3 7 1972 0 0 241000 72000 98034 FALSE +"2970" "2010-06-24" 285000 1138000320 "Single Family" "2010-06-01" 345800 0.794577205882353 358681 1 8191 940 0 1 3 7 1972 0 0 241000 142000 98034 FALSE +"2971" "2006-05-16" 339000 1138000370 "Single Family" "2006-05-01" 400600 0.920496323529412 368280 1 6400 910 0 1 3 7 1972 0 0 241000 71000 98034 FALSE +"2972" "2010-08-09" 280000 1138000450 "Single Family" "2010-08-01" 339900 0.781020220588235 358505 1 7215 1440 0 1 4 7 1969 0 0 241000 96000 98034 FALSE +"2973" "2007-04-05" 423000 1138000580 "Single Family" "2007-04-01" 430900 0.990119485294118 427221 1 7215 1390 0 1.5 3 7 1972 0 0 241000 183000 98034 FALSE +"2974" "2007-04-09" 370000 1138000770 "Single Family" "2007-04-01" 430900 0.990119485294118 373692 1 7723 1220 400 1.75 3 7 1969 0 0 241000 148000 98034 FALSE +"2975" "2012-06-27" 310000 1138000770 "Single Family" "2012-06-01" 322000 0.739889705882353 418981 1 7723 1220 400 1.75 3 7 1969 0 0 241000 148000 98034 FALSE +"2976" "2006-05-25" 346185 1138000830 "Single Family" "2006-05-01" 400600 0.920496323529412 376085 1 7173 1990 0 1 3 7 1972 0 0 241000 172000 98034 FALSE +"2977" "2006-06-13" 410000 1138010180 "Single Family" "2006-06-01" 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1139000072 "Townhouse" "2012-09-01" 329600 0.757352941176471 355184 1 834 1180 0 1.5 2 8 2009 0 0 89000 265000 98133 FALSE +"2992" "2006-10-03" 344950 1139000091 "Townhouse" "2006-10-01" 418300 0.961167279411765 358887 1 1097 1330 320 1.75 2 8 2002 0 0 89000 244000 98133 FALSE +"2993" "2010-06-29" 425000 1139000385 "Single Family" "2010-06-01" 345800 0.794577205882353 534876 1 10074 2500 840 2 4 7 1922 0 1 233000 269000 98177 FALSE +"2994" "2007-03-26" 344900 1139600200 "Single Family" "2007-03-01" 429600 0.987132352941177 349396 1 10159 2140 0 2.25 3 8 1987 0 0 80000 212000 98023 FALSE +"2995" "2014-07-01" 300000 1139600270 "Single Family" "2014-07-01" 402000 0.923713235294118 324776 1 9620 2090 750 2.75 3 8 1987 0 0 80000 194000 98023 FALSE +"2996" "2014-11-26" 215000 1140000050 "Single Family" "2014-11-01" 410700 0.943704044117647 227826 1 10016 1280 0 1.75 3 7 1975 0 2 53000 163000 98003 FALSE +"2997" "2006-09-19" 275750 1140000180 "Single Family" "2006-09-01" 414800 0.953125 289311 1 9620 1470 0 1.5 3 7 1973 0 0 58000 168000 98003 FALSE +"2998" "2006-06-02" 274950 1140000300 "Single Family" "2006-06-01" 404400 0.929227941176471 295891 1 9513 1300 0 1.75 3 7 1973 0 2 53000 139000 98003 FALSE +"2999" "2007-08-03" 289000 1140010080 "Single Family" "2007-08-01" 434600 0.998621323529412 289399 1 10251 1800 540 1.75 3 7 1984 0 0 58000 161000 98003 FALSE +"3000" "2008-02-05" 552000 1147000080 "Single Family" "2008-02-01" 418400 0.961397058823529 574164 1 7773 3220 0 2.5 4 9 2004 0 0 245000 368000 98056 FALSE +"3001" "2007-02-15" 710000 1149600060 "Single Family" "2007-02-01" 427800 0.982996323529412 722281 1 13780 2890 0 2.5 4 10 1991 0 0 244000 435000 98029 FALSE +"3002" "2006-07-21" 680000 1149900320 "Single Family" "2006-07-01" 407700 0.936810661764706 725867 1 9833 2940 0 2.5 3 10 1991 0 0 248000 466000 98029 FALSE +"3003" "2007-07-30" 650000 1150000020 "Single Family" "2007-07-01" 434200 0.997702205882353 651497 1 12189 2290 0 2.5 4 10 1988 0 0 241000 396000 98029 FALSE +"3004" "2011-05-06" 490000 1150000020 "Single Family" "2011-05-01" 316900 0.728170955882353 672919 1 12189 2290 0 2.5 4 10 1988 0 0 241000 396000 98029 FALSE +"3005" "2011-08-24" 499000 1150000300 "Single Family" "2011-08-01" 312700 0.718520220588235 694483 1 9847 2270 0 2.5 3 10 1989 0 0 248000 407000 98029 FALSE +"3006" "2006-05-12" 645000 1150000380 "Single Family" "2006-05-01" 400600 0.920496323529412 700709 1 8512 2410 0 2.5 4 10 1988 0 0 244000 408000 98029 FALSE +"3007" "2007-07-13" 669900 1150000420 "Single Family" "2007-07-01" 434200 0.997702205882353 671443 1 8695 2350 0 2.5 4 10 1987 0 0 244000 418000 98029 FALSE +"3008" "2006-03-01" 670000 1150000460 "Single Family" "2006-03-01" 392100 0.900965073529412 743647 1 8476 2440 0 2.5 4 10 1988 0 0 246000 341000 98029 FALSE +"3009" "2006-03-20" 643500 1150000540 "Single Family" "2006-03-01" 392100 0.900965073529412 714234 1 9517 2940 0 2.5 4 10 1987 0 0 248000 451000 98029 FALSE +"3010" "2011-10-27" 440000 1150000740 "Single Family" "2011-10-01" 312000 0.716911764705882 613744 1 8034 1990 0 2.5 4 10 1989 0 0 244000 380000 98029 FALSE +"3011" "2007-09-27" 620000 1150001250 "Single Family" "2007-09-01" 433500 0.99609375 622431 1 9464 2430 0 2.5 3 10 1988 0 0 248000 406000 98029 FALSE +"3012" "2011-06-17" 485000 1150001270 "Single Family" "2011-06-01" 315500 0.724954044117647 669008 1 7866 2270 0 2.5 3 10 1988 0 0 240000 424000 98029 FALSE +"3013" "2006-08-04" 665000 1150001360 "Single Family" "2006-08-01" 411100 0.944623161764706 703984 1 10099 2290 0 2.5 3 10 1988 0 0 248000 388000 98029 FALSE +"3014" "2012-10-17" 524500 1150001360 "Single Family" "2012-10-01" 332400 0.763786764705882 686710 1 10099 2290 0 2.5 3 10 1988 0 0 248000 388000 98029 FALSE +"3015" "2006-05-05" 310000 1150700170 "Single Family" "2006-05-01" 400600 0.920496323529412 336775 1 6693 1870 0 2.25 4 7 1996 0 0 91000 160000 98003 FALSE +"3016" "2006-08-22" 700000 1152000030 "Single Family" "2006-08-01" 411100 0.944623161764706 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194000 344000 98155 FALSE +"3024" "2011-05-25" 340000 1155610130 "Single Family" "2011-05-01" 316900 0.728170955882353 466923 1 8027 2080 790 1.75 3 7 1970 0 0 148000 243000 98155 FALSE +"3025" "2008-09-23" 250000 1156000100 "Single Family" "2008-09-01" 394900 0.907398897058823 275513 1 13309 1610 0 2 3 7 1967 0 0 110000 116000 98042 TRUE +"3026" "2011-08-29" 236000 1156000100 "Single Family" "2011-08-01" 312700 0.718520220588235 328453 1 13309 1610 0 2 3 7 1967 0 0 110000 116000 98042 FALSE +"3027" "2006-10-18" 248000 1156000200 "Single Family" "2006-10-01" 418300 0.961167279411765 258020 1 23862 1290 400 1.5 3 7 1974 0 0 110000 107000 98042 FALSE +"3028" "2007-09-12" 442500 1156000250 "Single Family" "2007-09-01" 433500 0.99609375 444235 1 21441 3020 1510 3 5 8 1978 0 0 110000 188000 98042 FALSE +"3031" "2006-07-17" 453750 1157200170 "Single Family" "2006-07-01" 407700 0.936810661764706 484356 1 28115 2060 780 3 5 7 2007 0 0 152000 199000 98168 FALSE +"3032" "2013-02-20" 365000 1158700135 "Single Family" "2013-02-01" 347000 0.797334558823529 457775 1 7020 2360 900 2.5 5 8 1967 0 0 164000 237000 98177 FALSE +"3033" "2009-10-21" 590000 1159400050 "Single Family" "2009-10-01" 351200 0.806985294117647 731116 1 13200 2960 1270 2.5 5 8 1966 0 0 345000 254000 98005 FALSE +"3034" "2009-08-14" 400000 1160000190 "Single Family" "2009-08-01" 352600 0.810202205882353 493704 1 7714 1660 830 1.75 2 7 1947 0 0 213000 217000 98125 FALSE +"3035" "2015-03-04" 453000 1160000300 "Single Family" "2015-03-01" 423200 0.972426470588235 465845 1 7200 1550 450 1.75 3 7 1949 0 0 213000 209000 98125 FALSE +"3036" "2011-11-09" 220000 1163400020 "Single Family" "2011-11-01" 312200 0.717371323529412 306675 1 21600 1590 0 1.5 3 7 1971 0 0 99000 134000 98022 FALSE +"3037" "2009-08-03" 1240000 1169000100 "Single Family" "2009-08-01" 352600 0.810202205882353 1530482 1 4680 3280 900 2.75 4 9 1921 0 1 494000 704000 98112 FALSE +"3038" "2009-04-17" 1100000 1169000115 "Single Family" "2009-04-01" 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FALSE +"3161" "2007-09-10" 599000 1223039230 "Single Family" "2007-09-01" 433500 0.99609375 601349 1 8019 1790 500 2.5 3 7 1961 0 0 125000 278000 98146 FALSE +"3162" "2008-01-23" 183000 1223049122 "Single Family" "2008-01-01" 421900 0.969439338235294 188769 1 6190 610 0 1 2 6 1940 0 0 85000 88000 98178 FALSE +"3163" "2008-09-22" 255000 1223049148 "Single Family" "2008-09-01" 394900 0.907398897058823 281023 1 10725 1360 0 1.75 3 7 1964 0 0 101000 202000 98178 FALSE +"3164" "2013-01-30" 156000 1223049159 "Single Family" "2013-01-01" 342800 0.787683823529412 198049 1 6000 1100 0 1 2 6 1944 0 0 85000 107000 98178 FALSE +"3165" "2007-05-17" 315000 1223059016 "Single Family" "2007-05-01" 432100 0.992876838235294 317260 1 17697 1880 940 1.75 3 6 1917 1954 2 116000 147000 98059 FALSE +"3166" "2012-07-17" 550000 1223089034 "Single Family" "2012-07-01" 325300 0.747472426470588 735813 1 200811 1370 0 2 2 7 1987 0 0 272000 177000 98045 FALSE +"3167" "2010-12-01" 415000 1224049058 "Single Family" 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9401 2580 940 3.25 4 9 1992 0 0 390000 318000 98033 FALSE +"3249" "2011-05-05" 610000 1235100357 "Single Family" "2011-05-01" 316900 0.728170955882353 837715 1 8648 2270 0 2.5 3 9 1992 0 0 397000 343000 98033 FALSE +"3251" "2006-11-07" 800000 1235100380 "Single Family" "2006-11-01" 421200 0.967830882352941 826591 1 9127 3950 870 3.5 5 11 2014 0 0 411000 1025000 98033 FALSE +"3252" "2006-05-31" 589950 1235700042 "Single Family" "2006-05-01" 400600 0.920496323529412 640904 1 12920 1550 0 2.5 3 7 1999 0 0 386000 237000 98033 FALSE +"3257" "2006-11-13" 525000 1236300116 "Single Family" "2006-11-01" 421200 0.967830882352941 542450 1 8501 1210 0 1.75 2 7 1983 0 0 456000 27000 98033 FALSE +"3258" "2009-01-29" 440000 1236300116 "Single Family" "2009-01-01" 378200 0.869025735294118 506314 1 8501 1210 0 1.75 2 7 1983 0 0 456000 27000 98033 FALSE +"3259" "2010-03-29" 410000 1236300146 "Single Family" "2010-03-01" 350300 0.804917279411765 509369 1 7287 1300 0 1.5 3 7 1965 0 0 390000 72000 98033 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0.936810661764706 635134 1 16485 3120 0 3.5 3 8 1959 2012 1 222000 685000 98052 FALSE +"3274" "2007-04-11" 630000 1237500420 "Single Family" "2007-04-01" 430900 0.990119485294118 636287 1 16485 3120 0 3.5 3 8 1959 2012 1 222000 685000 98052 FALSE +"3275" "2009-02-19" 320000 1237500420 "Single Family" "2009-02-01" 374400 0.860294117647059 371966 1 16485 3120 0 3.5 3 8 1959 2012 1 222000 685000 98052 FALSE +"3276" "2009-11-24" 438000 1237500520 "Single Family" "2009-11-01" 350900 0.806295955882353 543225 1 14475 1990 0 1.75 3 8 1960 0 1 204000 304000 98052 FALSE +"3277" "2014-10-21" 225000 1237500540 "Single Family" "2014-10-01" 407400 0.936121323529412 240353 1 10866 1370 0 1.75 3 6 1945 0 1 204000 171000 98052 FALSE +"3280" "2009-10-05" 313000 1237500721 "Single Family" "2009-10-01" 351200 0.806985294117647 387863 1 11778 1140 0 1.75 2 7 1979 0 1 204000 162000 98052 FALSE +"3281" "2012-05-09" 320000 1237500780 "Single Family" "2012-05-01" 318000 0.730698529411765 437937 1 14250 1580 0 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FALSE +"3335" "2013-05-03" 1205000 1245001252 "Single Family" "2013-05-01" 360700 0.828814338235294 1453884 1 6000 4310 1090 3.75 4 10 2008 0 0 513000 898000 98033 FALSE +"3336" "2007-07-24" 665000 1245001295 "Single Family" "2007-07-01" 434200 0.997702205882353 666532 1 7005 2260 1130 1.75 4 7 1947 0 0 573000 116000 98033 FALSE +"3337" "2011-12-26" 450001 1245001295 "Single Family" "2011-12-01" 311900 0.716681985294118 627895 1 7005 2260 1130 1.75 4 7 1947 0 0 573000 116000 98033 FALSE +"3339" "2007-05-25" 609950 1245001751 "Single Family" "2007-05-01" 432100 0.992876838235294 614326 1 9219 1010 0 1 2 7 1960 0 0 549000 1000 98033 FALSE +"3340" "2012-11-28" 505000 1245001751 "Single Family" "2012-11-01" 335900 0.771829044117647 654290 1 9219 1010 0 1 2 7 1960 0 0 549000 1000 98033 FALSE +"3342" "2009-07-09" 895000 1245001760 "Single Family" "2009-07-01" 354400 0.814338235294118 1099052 1 7367 2900 0 3.5 4 10 2005 0 0 521000 695000 98033 FALSE +"3343" "2006-11-20" 610000 1245001763 "Single Family" "2006-11-01" 421200 0.967830882352941 630275 1 7291 2110 0 2.5 4 7 1977 0 0 521000 183000 98033 FALSE +"3344" "2006-11-14" 760000 1245001828 "Single Family" "2006-11-01" 421200 0.967830882352941 785261 1 7908 1900 680 3 4 7 1979 0 0 521000 229000 98033 FALSE +"3345" "2008-01-29" 675000 1245001870 "Single Family" "2008-01-01" 421900 0.969439338235294 696279 1 8094 2920 1460 2.75 5 7 1974 0 0 503000 245000 98033 FALSE +"3346" "2006-06-15" 799990 1245001877 "Single Family" "2006-06-01" 404400 0.929227941176471 860919 1 6906 2830 0 2.5 4 9 2003 0 0 487000 484000 98033 FALSE +"3347" "2007-08-28" 649950 1245002112 "Single Family" "2007-08-01" 434600 0.998621323529412 650847 1 7250 1870 0 2.5 3 7 1987 0 0 521000 159000 98033 FALSE +"3348" "2008-06-24" 420000 1245002212 "Single Family" "2008-06-01" 403200 0.926470588235294 453333 1 9240 1670 0 1.75 4 8 1961 2010 0 549000 283000 98033 FALSE +"3352" "2011-09-02" 550000 1245002297 "Single Family" "2011-09-01" 312000 0.716911764705882 767179 1 11110 2080 690 2.75 4 8 1915 1988 0 584000 227000 98033 FALSE +"3353" "2010-09-13" 1305000 1245002350 "Single Family" "2010-09-01" 337200 0.774816176470588 1684270 1 7255 4550 980 3.75 4 11 2007 0 0 573000 1272000 98033 FALSE +"3355" "2006-12-19" 675000 1245002540 "Single Family" "2006-12-01" 423400 0.972886029411765 693812 1 9000 4300 2140 3.5 4 11 2008 0 0 549000 1184000 98033 FALSE +"3356" "2008-02-22" 802000 1245002900 "Single Family" "2008-02-01" 418400 0.961397058823529 834203 1 7200 1850 0 2.75 3 8 1952 2005 0 521000 304000 98033 FALSE +"3357" "2007-12-10" 1195000 1245002952 "Single Family" "2007-12-01" 425200 0.977022058823529 1223104 1 7800 2770 0 2.5 4 10 1999 0 0 521000 617000 98033 FALSE +"3358" "2009-11-23" 1250000 1245002958 "Single Family" "2009-11-01" 350900 0.806295955882353 1550299 1 10000 4110 660 3.5 3 10 2003 0 0 567000 814000 98033 FALSE +"3359" "2006-11-27" 635000 1245003006 "Single Family" "2006-11-01" 421200 0.967830882352941 656106 1 9889 3180 680 3.75 4 9 2012 0 0 549000 660000 98033 FALSE +"3360" "2013-04-17" 1025000 1245003006 "Single Family" "2013-04-01" 356000 0.818014705882353 1253034 1 9889 3180 680 3.75 4 9 2012 0 0 549000 660000 98033 FALSE +"3361" "2006-04-11" 485000 1245003115 "Single Family" "2006-04-01" 396500 0.911075367647059 532338 1 5000 780 0 1 2 5 1921 0 0 428000 1000 98033 FALSE +"3362" "2010-09-27" 410000 1245003120 "Single Family" "2010-09-01" 337200 0.774816176470588 529158 1 7671 1320 0 1 3 7 1953 0 0 521000 35000 98033 FALSE +"3364" "2006-07-12" 585000 1245003255 "Single Family" "2006-07-01" 407700 0.936810661764706 624459 1 12500 1120 0 1 3 7 1977 0 0 593000 10000 98033 FALSE +"3367" "2007-05-01" 980000 1245003270 "Single Family" "2007-05-01" 432100 0.992876838235294 987031 1 7326 2660 0 2.5 3 9 1999 0 0 521000 453000 98033 FALSE +"3369" "2011-10-11" 482500 1245003375 "Single Family" "2011-10-01" 312000 0.716911764705882 673026 1 12005 1290 0 1 3 7 1966 0 0 593000 1000 98033 FALSE +"3370" 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0.961167279411765 457777 1 8282 1140 0 2 2 6 1924 2009 2 371000 154000 98033 FALSE +"3377" "2007-09-14" 799950 1245500525 "Single Family" "2007-09-01" 433500 0.99609375 803087 1 9450 1710 0 1 2 7 1923 0 0 708000 97000 98033 FALSE +"3378" "2010-06-30" 814000 1245500606 "Single Family" "2010-06-01" 345800 0.794577205882353 1024444 1 9600 1830 0 2 3 8 1955 2002 0 708000 218000 98033 FALSE +"3380" "2007-08-21" 565000 1245500638 "Single Family" "2007-08-01" 434600 0.998621323529412 565780 1 7819 2310 0 2.5 3 8 1968 2008 0 664000 378000 98033 FALSE +"3382" "2008-09-26" 660000 1245500825 "Single Family" "2008-09-01" 394900 0.907398897058823 727354 1 7062 4220 1630 3.25 5 9 1937 2010 0 664000 660000 98033 FALSE +"3383" "2010-10-28" 785000 1246200050 "Single Family" "2010-10-01" 334700 0.769071691176471 1020711 1 4250 2410 580 2.5 4 10 1999 0 0 495000 552000 98033 FALSE +"3384" "2006-06-13" 570000 1246700005 "Single Family" "2006-06-01" 404400 0.929227941176471 613412 1 26892 1890 0 3 4 7 1957 2010 1 354000 300000 98033 FALSE +"3385" "2007-06-01" 589000 1246700014 "Single Family" "2007-06-01" 433200 0.995404411764706 591719 1 18675 2720 1360 2.25 4 7 1961 0 1 275000 316000 98033 FALSE +"3386" "2008-02-20" 699950 1246700074 "Single Family" "2008-02-01" 418400 0.961397058823529 728055 1 54450 1240 0 2.75 3 7 1968 2007 0 290000 249000 98033 FALSE +"3387" "2008-09-09" 390000 1246700133 "Single Family" "2008-09-01" 394900 0.907398897058823 429800 1 12300 1340 0 2 3 7 1958 0 1 204000 212000 98033 FALSE +"3388" "2006-04-14" 350000 1246700192 "Single Family" "2006-04-01" 396500 0.911075367647059 384161 1 20720 1010 0 1 3 6 1957 0 0 325000 22000 98033 FALSE +"3389" "2011-10-11" 320000 1246700240 "Single Family" "2011-10-01" 312000 0.716911764705882 446359 1 21614 1200 0 1 3 7 1936 0 0 291000 108000 98033 FALSE +"3390" "2006-09-27" 639000 1246700260 "Single Family" "2006-09-01" 414800 0.953125 670426 1 46609 1900 720 2.5 4 7 1974 0 0 475000 79000 98033 FALSE +"3391" "2010-08-03" 988000 1247100035 "Single Family" "2010-08-01" 339900 0.781020220588235 1265012 1 9143 3330 0 2.75 4 10 1995 0 0 411000 615000 98033 FALSE +"3392" "2014-06-30" 1095000 1247100035 "Single Family" "2014-06-01" 400200 0.919577205882353 1190765 1 9143 3330 0 2.75 4 10 1995 0 0 411000 615000 98033 FALSE +"3393" "2007-02-05" 490000 1249400170 "Single Family" "2007-02-01" 427800 0.982996323529412 498476 1 18700 2630 0 2.5 3 8 1987 0 0 126000 223000 98042 FALSE +"3394" "2013-04-16" 469950 1250200202 "Townhouse" "2013-04-01" 356000 0.818014705882353 574501 1 1845 1610 0 2.25 3 8 2013 0 0 117000 350000 98144 TRUE +"3395" "2006-03-08" 465000 1250200213 "Single Family" "2006-03-01" 392100 0.900965073529412 516113 1 2460 2400 800 3.5 4 8 1900 2004 0 197000 418000 98144 FALSE +"3396" "2009-12-22" 309000 1250200277 "Townhouse" "2009-12-01" 350600 0.805606617647059 383562 1 1368 1810 610 1.5 2 7 2008 0 0 101000 266000 98144 TRUE +"3397" "2010-10-21" 320000 1250200281 "Townhouse" "2010-10-01" 334700 0.769071691176471 416086 1 1858 1510 310 2.25 3 7 2009 0 0 117000 257000 98144 FALSE +"3398" "2006-03-02" 435000 1250200292 "Single Family" "2006-03-01" 392100 0.900965073529412 482816 1 2097 1560 310 2.5 3 8 2002 0 0 165000 296000 98144 FALSE +"3400" "2006-06-27" 435000 1250200415 "Townhouse" "2006-06-01" 404400 0.929227941176471 468131 1 1241 1060 100 1.75 2 7 2008 0 0 101000 232000 98144 FALSE +"3401" "2008-05-28" 330000 1250200415 "Townhouse" "2008-05-01" 407400 0.936121323529412 352518 1 1241 1060 100 1.75 2 7 2008 0 0 101000 232000 98144 TRUE +"3404" "2006-01-24" 305950 1250200418 "Townhouse" "2006-01-01" 383200 0.880514705882353 347467 1 844 1180 190 1.5 2 7 2005 0 0 85000 239000 98144 TRUE +"3405" "2006-02-07" 310000 1250200426 "Townhouse" "2006-02-01" 387600 0.890625 348070 1 1040 1180 190 1.5 2 7 2005 0 0 85000 239000 98144 TRUE +"3406" "2007-01-25" 376000 1250200552 "Townhouse" "2007-01-01" 425600 0.977941176470588 384481 1 1320 1610 330 2.5 3 7 2007 0 0 101000 270000 98144 TRUE +"3407" "2006-08-23" 467500 1250200590 "Multiplex" "2006-08-01" 411100 0.944623161764706 494906 2 3551 1920 0 2 3 7 1911 0 0 262000 199000 98144 FALSE +"3408" "2009-02-19" 260000 1250200595 "Single Family" "2009-02-01" 374400 0.860294117647059 302222 1 1959 1450 200 2.5 4 7 1902 0 0 143700 109000 98144 FALSE +"3409" "2010-10-07" 488000 1250200615 "Single Family" "2010-10-01" 334700 0.769071691176471 634531 1 2070 1720 0 2.5 3 9 2010 0 0 165000 405000 98144 TRUE +"3411" "2008-01-25" 500000 1250200695 "Townhouse" "2008-01-01" 421900 0.969439338235294 515762 1 1871 2210 540 3 4 8 2008 0 0 117000 373000 98144 TRUE +"3414" "2012-04-11" 282000 1250200735 "Single Family" "2012-04-01" 315200 0.724264705882353 389360 1 5400 2410 660 3 5 7 1906 0 2 313000 201000 98144 FALSE +"3416" "2010-11-19" 265500 1250200840 "Single Family" "2010-11-01" 332700 0.764476102941177 347297 1 5040 1570 500 1 5 7 1958 0 0 205000 183000 98144 FALSE +"3417" "2008-08-14" 325000 1250201165 "Single Family" "2008-08-01" 397900 0.914292279411765 355466 1 3600 2000 850 2.5 5 6 1987 0 0 195000 170000 98144 FALSE +"3418" "2014-11-21" 441000 1250201165 "Single Family" "2014-11-01" 410700 0.943704044117647 467308 1 3600 2000 850 2.5 5 6 1987 0 0 195000 170000 98144 FALSE +"3419" "2009-05-13" 330000 1250201194 "Single Family" "2009-05-01" 360700 0.828814338235294 398159 1 6600 1270 0 1.75 3 7 1903 0 0 208000 254000 98144 FALSE +"3422" "2007-09-24" 1045000 1250201350 "Single Family" "2007-09-01" 433500 0.99609375 1049098 1 5100 3680 930 2.5 4 10 2003 0 0 273000 773000 98144 FALSE +"3423" "2013-04-26" 1075000 1250201610 "Single Family" "2013-04-01" 356000 0.818014705882353 1314157 1 5600 3030 810 3.25 3 9 1905 2005 1 431000 573000 98144 FALSE +"3424" "2007-12-14" 735000 1250201710 "Single Family" "2007-12-01" 425200 0.977022058823529 752286 1 6240 1660 0 2.5 3 8 1900 2010 0 378000 457000 98144 FALSE +"3425" "2011-02-18" 787000 1250201710 "Single Family" "2011-02-01" 325000 0.746783088235294 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1254200075 "Single Family" "2008-09-01" 394900 0.907398897058823 597863 1 5500 1750 700 1.75 4 7 1926 0 2 225000 265000 98117 FALSE +"3445" "2007-04-23" 675000 1254200315 "Single Family" "2007-04-01" 430900 0.990119485294118 681736 1 5100 2080 600 1.75 4 7 1912 0 0 262000 311000 98117 FALSE +"3446" "2010-12-17" 510000 1254200470 "Single Family" "2010-12-01" 330600 0.759650735294118 671361 1 5100 2130 990 1.75 4 7 1924 0 0 262000 354000 98117 FALSE +"3447" "2006-04-04" 417000 1254200555 "Single Family" "2006-04-01" 396500 0.911075367647059 457701 1 5100 940 0 1 2 7 1912 0 0 262000 170000 98117 FALSE +"3448" "2009-07-31" 520000 1254200615 "Single Family" "2009-07-01" 354400 0.814338235294118 638555 1 2978 1530 320 2.5 3 7 1997 0 0 188000 370000 98117 FALSE +"3449" "2006-10-12" 527000 1254200835 "Single Family" "2006-10-01" 418300 0.961167279411765 548292 1 5100 2000 870 1.75 4 7 1949 0 0 262000 300000 98117 FALSE +"3450" "2008-02-26" 479000 1254201106 "Single Family" "2008-02-01" 418400 0.961397058823529 498233 1 3172 1580 680 1.5 3 8 1946 0 0 209000 347000 98117 FALSE +"3451" "2012-09-12" 431600 1254201106 "Single Family" "2012-09-01" 329600 0.757352941176471 569880 1 3172 1580 680 1.5 3 8 1946 0 0 209000 347000 98117 FALSE +"3453" "2007-02-15" 530000 1257200060 "Single Family" "2007-02-01" 427800 0.982996323529412 539168 1 4080 1880 940 1.75 4 7 1924 0 0 335000 235000 98115 FALSE +"3454" "2008-04-18" 825000 1257200115 "Single Family" "2008-04-01" 411700 0.946001838235294 872091 1 6120 2290 120 2.75 4 7 1926 0 0 531000 369000 98115 FALSE +"3455" "2007-08-09" 789950 1257200205 "Single Family" "2007-08-01" 434600 0.998621323529412 791041 1 5304 2940 1080 2.25 4 8 1907 0 0 437000 559000 98115 FALSE +"3456" "2007-10-15" 860000 1257200290 "Single Family" "2007-10-01" 431300 0.991038602941177 867776 1 6120 2700 1350 2 3 8 1962 0 0 531000 385000 98115 FALSE +"3457" "2009-10-10" 520000 1257200300 "Single Family" "2009-10-01" 351200 0.806985294117647 644374 1 3600 1570 0 1.5 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0.911075367647059 1207364 1 4573 2980 560 2.5 4 10 1905 0 0 621000 879000 98102 FALSE +"3730" "2007-05-25" 2075000 1336300425 "Single Family" "2007-05-01" 432100 0.992876838235294 2089887 1 4573 2980 560 2.5 4 10 1905 0 0 621000 879000 98102 FALSE +"3731" "2007-02-14" 960000 1336300610 "Single Family" "2007-02-01" 427800 0.982996323529412 976606 1 5000 2040 0 1.75 4 9 1921 0 0 640000 418000 98102 FALSE +"3732" "2012-01-27" 1070000 1336300637 "Single Family" "2012-01-01" 311600 0.715992647058823 1494429 1 4937 2160 160 2 3 10 1987 0 0 595000 636000 98102 FALSE +"3733" "2012-08-30" 1150000 1336800015 "Single Family" "2012-08-01" 327500 0.752527573529412 1528183 1 5800 3660 300 3.25 4 10 1909 1995 1 609000 963000 98112 FALSE +"3734" "2008-09-09" 849500 1336800185 "Single Family" "2008-09-01" 394900 0.907398897058823 936192 1 5568 2500 0 2.75 3 9 1905 0 1 609000 591000 98112 FALSE +"3735" "2010-04-21" 1839126 1336800660 "Single Family" "2010-04-01" 349100 0.802159926470588 2292717 1 6000 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0.923713235294118 384318 1 5001 1600 520 1 2 6 1930 0 0 190000 201000 98125 FALSE +"4182" "2006-03-27" 485000 1454100236 "Single Family" "2006-03-01" 392100 0.900965073529412 538312 1 8050 1890 0 2 5 7 1936 0 0 196000 266000 98125 FALSE +"4183" "2007-08-13" 424950 1454100290 "Single Family" "2007-08-01" 434600 0.998621323529412 425537 1 8568 2500 900 2 4 7 1927 0 0 196000 321000 98125 FALSE +"4184" "2006-05-15" 690000 1454600236 "Single Family" "2006-05-01" 400600 0.920496323529412 749596 1 9500 2330 940 2.75 4 8 1976 0 0 404000 321000 98125 FALSE +"4185" "2008-05-13" 887000 1455100040 "Single Family" "2008-05-01" 407400 0.936121323529412 947527 1 15313 3260 870 2.25 4 8 1974 0 0 487000 337000 98125 FALSE +"4186" "2006-10-20" 1170000 1455100200 "Single Family" "2006-10-01" 418300 0.961167279411765 1217270 1 16116 2840 1150 2.5 4 8 1962 0 0 574000 279000 98125 FALSE +"4187" "2009-12-07" 850000 1455100200 "Single Family" "2009-12-01" 350600 0.805606617647059 1055106 1 16116 2840 1150 2.5 4 8 1962 0 0 574000 279000 98125 FALSE +"4188" "2007-07-27" 980000 1455600021 "Single Family" "2007-07-01" 434200 0.997702205882353 982257 1 10829 3080 520 3.25 4 9 1998 0 0 465000 380000 98125 FALSE +"4189" "2006-11-03" 648950 1455600045 "Single Family" "2006-11-01" 421200 0.967830882352941 670520 1 9377 2790 1250 1.75 3 8 1962 0 0 404000 222000 98125 FALSE +"4190" "2010-02-24" 530000 1455600061 "Single Family" "2010-02-01" 350900 0.806295955882353 657327 1 9725 2600 800 2.5 3 8 1986 0 0 404000 245000 98125 FALSE +"4191" "2008-04-23" 650000 1455600062 "Single Family" "2008-04-01" 411700 0.946001838235294 687102 1 9612 2080 380 1.75 3 8 1940 0 0 489000 151000 98125 FALSE +"4192" "2011-09-15" 393500 1457500088 "Single Family" "2011-09-01" 312000 0.716911764705882 548882 1 9830 2510 0 2.5 4 8 1999 0 0 143000 300000 98059 FALSE +"4201" "2008-05-19" 430000 1460600040 "Single Family" "2008-05-01" 407400 0.936121323529412 459342 1 16000 1580 500 2.75 3 7 1980 0 0 191000 254000 98027 FALSE 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15424 2350 0 2 3 7 1984 2005 1 138000 267000 98045 FALSE +"4216" "2006-08-03" 350000 1471630330 "Single Family" "2006-08-01" 411100 0.944623161764706 370518 1 15360 1830 790 1.75 4 7 1981 0 0 153000 151000 98045 FALSE +"4217" "2008-09-04" 390000 1471630370 "Single Family" "2008-09-01" 394900 0.907398897058823 429800 1 13995 1970 760 2.75 3 7 1981 0 0 150000 241000 98045 FALSE +"4218" "2010-03-05" 252000 1471700390 "Single Family" "2010-03-01" 350300 0.804917279411765 313076 1 13434 1690 220 1.75 3 7 1962 0 0 112000 213000 98059 FALSE +"4219" "2006-05-12" 289950 1471701130 "Single Family" "2006-05-01" 400600 0.920496323529412 314993 1 16050 1370 0 1.75 4 7 1971 0 0 112000 162000 98059 FALSE +"4220" "2006-01-25" 292510 1471701780 "Single Family" "2006-01-01" 383200 0.880514705882353 332203 1 14490 1970 0 1.5 4 7 1963 0 0 112000 193000 98059 FALSE +"4221" "2012-02-14" 300000 1471701780 "Single Family" "2012-02-01" 312300 0.717601102941177 418060 1 14490 1970 0 1.5 4 7 1963 0 0 112000 193000 98059 FALSE +"4222" "2007-12-03" 355000 1471701860 "Single Family" "2007-12-01" 425200 0.977022058823529 363349 1 15977 2100 0 1.75 3 7 1968 0 0 112000 226000 98059 FALSE +"4223" "2007-07-18" 400000 1472200070 "Single Family" "2007-07-01" 434200 0.997702205882353 400921 1 8208 1640 310 1.75 3 8 1957 0 0 218000 251000 98125 FALSE +"4224" "2007-09-14" 576000 1472330030 "Single Family" "2007-09-01" 433500 0.99609375 578259 1 6413 2460 0 2.75 3 9 2004 0 0 180000 384000 98028 FALSE +"4225" "2007-05-07" 810100 1472700020 "Single Family" "2007-05-01" 432100 0.992876838235294 815912 1 14964 2020 0 2.5 4 8 1987 0 0 488000 236000 98033 FALSE +"4226" "2007-08-09" 759000 1472700210 "Single Family" "2007-08-01" 434600 0.998621323529412 760048 1 8928 2320 0 2.5 4 8 1987 0 0 425000 290000 98033 FALSE +"4227" "2006-01-05" 427000 1472800020 "Single Family" "2006-01-01" 383200 0.880514705882353 484944 1 14040 2370 0 2.5 3 8 1993 0 0 108000 299000 98019 FALSE +"4228" "2006-03-21" 465000 1472800040 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0 198000 232000 98144 FALSE +"4387" "2006-09-27" 350000 1541700250 "Single Family" "2006-09-01" 414800 0.953125 367213 1 5000 1980 0 2.5 4 8 2003 0 0 115000 194000 98031 FALSE +"4388" "2007-11-21" 490000 1542800110 "Single Family" "2007-11-01" 428400 0.984375 497778 1 3591 1760 0 2.5 2 8 1996 0 0 206000 237000 98052 FALSE +"4396" "2008-09-17" 281500 1545800100 "Single Family" "2008-09-01" 394900 0.907398897058823 310227 1 7500 1610 0 1 3 7 1952 0 0 90000 138000 98038 FALSE +"4397" "2014-09-05" 215000 1545800290 "Single Family" "2014-09-01" 405100 0.930836397058823 230975 1 6675 1700 0 2.5 4 7 1997 0 0 90000 170000 98038 FALSE +"4398" "2006-10-10" 327500 1545800491 "Single Family" "2006-10-01" 418300 0.961167279411765 340732 1 8113 1700 0 2.5 3 7 1999 0 0 90000 177000 98038 FALSE +"4399" "2007-07-02" 306000 1545800980 "Single Family" "2007-07-01" 434200 0.997702205882353 306705 1 7686 1470 260 2.25 3 7 1988 0 0 90000 154000 98038 FALSE +"4400" "2013-09-09" 224000 1545800980 "Single 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0.880514705882353 299825 1 8100 1060 0 1.75 3 7 1983 0 0 90000 133000 98038 FALSE +"4439" "2008-03-12" 301700 1545807160 "Single Family" "2008-03-01" 415100 0.953814338235294 316309 1 8276 1900 430 1.75 4 7 1978 0 0 90000 179000 98038 FALSE +"4440" "2015-05-06" 190000 1545807180 "Single Family" "2015-05-01" 435200 1 190000 1 9861 1900 0 1.75 4 7 1967 0 0 94000 187000 98038 FALSE +"4441" "2010-12-14" 213500 1545807230 "Single Family" "2010-12-01" 330600 0.759650735294118 281050 1 8430 1600 0 2 3 7 1979 0 0 90000 176000 98038 FALSE +"4442" "2007-07-06" 483000 1545807400 "Single Family" "2007-07-01" 434200 0.997702205882353 484112 1 15515 3750 0 1.75 5 7 1963 0 0 97000 259000 98038 FALSE +"4443" "2006-08-16" 320000 1545807540 "Single Family" "2006-08-01" 411100 0.944623161764706 338759 1 7848 1720 550 2.25 3 7 1989 0 0 90000 164000 98038 TRUE +"4444" "2006-10-10" 348000 1545807750 "Single Family" "2006-10-01" 418300 0.961167279411765 362060 1 7630 1820 400 1 3 7 1978 0 0 90000 171000 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1546600130 "Single Family" "2006-11-01" 421200 0.967830882352941 676771 1 10115 2000 600 1.75 4 8 1959 0 0 453000 143000 98005 FALSE +"4452" "2006-05-23" 659500 1546600230 "Single Family" "2006-05-01" 400600 0.920496323529412 716461 1 10033 2040 620 2.5 3 8 1974 0 0 453000 150000 98005 FALSE +"4453" "2009-08-19" 889000 1546600270 "Single Family" "2009-08-01" 352600 0.810202205882353 1097257 1 10198 3170 0 2.5 4 9 2003 0 0 453000 438000 98005 FALSE +"4454" "2012-01-19" 450000 1546600440 "Single Family" "2012-01-01" 311600 0.715992647058823 628498 1 13522 1490 0 1.5 3 7 1959 0 0 453000 51000 98005 FALSE +"4455" "2006-10-26" 350000 1546800045 "Single Family" "2006-10-01" 418300 0.961167279411765 364141 1 9752 1790 500 2.25 3 8 1959 0 0 453000 86000 98005 FALSE +"4456" "2006-10-04" 889000 1546800056 "Single Family" "2006-10-01" 418300 0.961167279411765 924917 1 9752 2830 1400 3 6 8 1966 2006 0 453000 261000 98005 FALSE +"4457" "2007-08-28" 303000 1547600012 "Single Family" "2007-08-01" 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1560500020 "Single Family" "2006-03-01" 392100 0.900965073529412 382923 1 5000 2340 0 2.5 4 7 2002 0 0 97000 181000 98038 FALSE +"4499" "2006-07-20" 392957 1560500120 "Single Family" "2006-07-01" 407700 0.936810661764706 419463 1 4746 2560 0 2.5 4 7 2002 0 0 97000 190000 98038 FALSE +"4500" "2006-06-22" 500000 1560800030 "Single Family" "2006-06-01" 404400 0.929227941176471 538081 1 8626 2770 1330 2.5 4 7 1962 0 0 295000 226000 98007 FALSE +"4501" "2010-12-28" 440000 1560800260 "Single Family" "2010-12-01" 330600 0.759650735294118 579214 1 7971 2090 1010 2.75 4 7 1962 0 0 295000 173000 98007 FALSE +"4502" "2009-03-17" 365000 1560870020 "Single Family" "2009-03-01" 369800 0.849724264705882 429551 1 3953 1960 0 2.5 2 8 1999 0 0 138000 221000 98059 FALSE +"4503" "2006-06-12" 387500 1560870040 "Single Family" "2006-06-01" 404400 0.929227941176471 417013 1 3953 1960 0 2.5 3 8 1999 0 0 138000 221000 98059 FALSE +"4504" "2006-07-19" 395950 1560870070 "Single Family" "2006-07-01" 407700 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0.923713235294118 346428 1 10576 1120 0 1 3 7 1969 0 0 116000 187000 98077 FALSE +"5111" "2010-05-21" 280000 1771100380 "Single Family" "2010-05-01" 347800 0.799172794117647 350362 1 10000 1120 0 1 3 7 1969 0 0 116000 192000 98077 FALSE +"5112" "2008-05-19" 318000 1771110560 "Single Family" "2008-05-01" 407400 0.936121323529412 339700 1 9435 1250 0 1 3 7 1971 0 0 116000 192000 98077 FALSE +"5113" "2006-06-13" 312000 1771110740 "Single Family" "2006-06-01" 404400 0.929227941176471 335763 1 9594 940 0 1 3 7 1969 0 0 116000 161000 98077 FALSE +"5114" "2009-04-15" 337000 1772600125 "Single Family" "2009-04-01" 365000 0.838694852941177 401815 1 5480 1740 820 1.75 4 7 1921 0 0 129000 208000 98106 FALSE +"5115" "2008-11-05" 210000 1772600275 "Single Family" "2008-11-01" 385800 0.886488970588235 236890 1 4800 960 0 1 2 6 1918 0 0 129000 159000 98106 FALSE +"5116" "2008-06-25" 306340 1772600635 "Single Family" "2008-06-01" 403200 0.926470588235294 330653 1 5440 1070 0 1 2 6 1921 1992 0 129000 129000 98106 FALSE +"5117" "2010-05-05" 417500 1772600665 "Single Family" "2010-05-01" 347800 0.799172794117647 522415 1 5200 2510 1040 2 4 8 1925 0 0 129000 371000 98106 FALSE +"5118" "2006-05-08" 300000 1772600725 "Single Family" "2006-05-01" 400600 0.920496323529412 325911 1 5360 1660 830 2.5 3 7 1920 2015 0 129000 192000 98106 FALSE +"5119" "2010-05-10" 314900 1773100025 "Single Family" "2010-05-01" 347800 0.799172794117647 394032 1 7200 1410 370 1 2 7 1918 0 0 135000 220000 98106 FALSE +"5120" "2009-10-15" 245950 1773100121 "Townhouse" "2009-10-01" 351200 0.806985294117647 304776 1 750 1100 320 2.5 3 7 2008 0 1 85000 178000 98106 TRUE +"5121" "2009-03-13" 254000 1773100122 "Townhouse" "2009-03-01" 369800 0.849724264705882 298920 1 586 1100 320 2.5 3 7 2008 0 0 85000 178000 98106 TRUE +"5122" "2009-07-29" 244950 1773100123 "Townhouse" "2009-07-01" 354400 0.814338235294118 300796 1 1307 1100 320 2.5 3 7 2008 0 0 85000 178000 98106 TRUE +"5123" "2009-09-10" 430000 1773100170 "Single 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98106 TRUE +"5135" "2006-12-11" 296500 1773100430 "Townhouse" "2006-12-01" 423400 0.972886029411765 304763 1 1282 1270 270 1.5 2 8 2006 0 2 85000 253000 98106 TRUE +"5136" "2006-11-21" 294900 1773100432 "Townhouse" "2006-11-01" 421200 0.967830882352941 304702 1 1603 1270 270 1.5 2 8 2006 0 2 85000 253000 98106 TRUE +"5137" "2006-04-19" 256750 1773100440 "Townhouse" "2006-04-01" 396500 0.911075367647059 281810 1 1184 1180 160 2.5 2 7 2006 0 1 97000 177000 98106 TRUE +"5138" "2013-04-01" 225000 1773100525 "Single Family" "2013-04-01" 356000 0.818014705882353 275056 1 4800 560 0 1 1 6 1941 0 0 129000 138000 98106 FALSE +"5141" "2011-05-23" 189250 1773100560 "Townhouse" "2011-05-01" 316900 0.728170955882353 259898 1 1150 1250 170 2.5 3 8 2009 0 2 85000 253000 98106 FALSE +"5145" "2009-05-06" 284500 1773100565 "Townhouse" "2009-05-01" 360700 0.828814338235294 343261 1 1150 1250 170 2.5 3 8 2009 0 2 85000 253000 98106 TRUE +"5146" "2009-08-27" 268500 1773100565 "Townhouse" "2009-08-01" 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0 2 259000 1000 98106 FALSE +"5167" "2008-07-28" 274000 1773600460 "Single Family" "2008-07-01" 400300 0.919806985294118 297889 1 5683 1250 0 1 3 6 1948 0 0 129000 131000 98106 FALSE +"5168" "2010-03-29" 300000 1773600555 "Single Family" "2010-03-01" 350300 0.804917279411765 372709 1 4960 1410 500 1 3 6 1927 0 0 135000 158000 98106 FALSE +"5169" "2007-04-09" 347500 1773600620 "Single Family" "2007-04-01" 430900 0.990119485294118 350968 1 5400 1500 620 1.75 2 7 1927 2012 1 128000 288000 98106 FALSE +"5170" "2006-10-18" 465000 1774000050 "Single Family" "2006-10-01" 418300 0.961167279411765 483787 1 11200 2180 0 2.5 4 8 1968 0 0 150000 330000 98072 FALSE +"5171" "2011-11-01" 331500 1774000330 "Single Family" "2011-11-01" 312200 0.717371323529412 462104 1 17568 2220 0 1.75 3 8 1967 0 0 150000 337000 98072 FALSE +"5172" "2007-04-05" 395000 1774000360 "Single Family" "2007-04-01" 430900 0.990119485294118 398942 1 17250 1330 0 1.75 3 7 1975 0 0 150000 218000 98072 FALSE +"5173" "2013-12-10" 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0.961167279411765 418814 1 36000 2520 0 3.25 3 8 1978 0 0 215000 374000 98077 FALSE +"5180" "2006-06-09" 342000 1774500038 "Single Family" "2006-06-01" 404400 0.929227941176471 368047 1 13950 1250 0 1 3 7 1970 0 0 110000 206000 98077 FALSE +"5181" "2007-06-11" 381547 1774500106 "Single Family" "2007-06-01" 433200 0.995404411764706 383309 1 17484 1270 0 1 3 6 1967 0 2 112000 180000 98077 FALSE +"5182" "2013-06-24" 280000 1775500123 "Single Family" "2013-06-01" 366100 0.841222426470588 332849 1 10804 1900 0 2 3 7 1967 0 2 98000 276000 98072 FALSE +"5183" "2009-02-23" 400000 1775500131 "Single Family" "2009-02-01" 374400 0.860294117647059 464957 1 41200 1950 0 1.75 3 8 1977 0 0 226000 302000 98072 FALSE +"5184" "2007-09-21" 767115 1775500370 "Single Family" "2007-09-01" 433500 0.99609375 770123 1 92890 2730 0 2.5 3 9 1991 0 0 241000 414000 98072 FALSE +"5185" "2008-03-06" 740000 1775500371 "Single Family" "2008-03-01" 415100 0.953814338235294 775832 1 32336 3140 0 2.5 4 10 1995 0 0 206000 506000 98072 FALSE +"5186" "2008-08-22" 440000 1775700005 "Single Family" "2008-08-01" 397900 0.914292279411765 481247 1 67082 1510 0 1.5 2 7 1945 0 0 272000 160000 98077 FALSE +"5187" "2007-12-17" 409999 1775800220 "Single Family" "2007-12-01" 425200 0.977022058823529 419641 1 14061 1000 0 1.75 3 7 1967 0 0 150000 169000 98072 FALSE +"5188" "2015-02-26" 310000 1775800280 "Single Family" "2015-02-01" 417900 0.960248161764706 322833 1 11970 2900 0 2 5 7 1969 0 0 116000 349000 98072 FALSE +"5189" "2007-03-26" 350000 1775800290 "Single Family" "2007-03-01" 429600 0.987132352941177 354562 1 12330 1260 0 1.75 3 7 1968 0 0 116000 198000 98072 FALSE +"5190" "2010-03-30" 265000 1775800510 "Single Family" "2010-03-01" 350300 0.804917279411765 329226 1 12528 1750 0 1 4 7 1967 0 0 116000 232000 98072 FALSE +"5191" "2007-04-23" 360000 1775800660 "Single Family" "2007-04-01" 430900 0.990119485294118 363592 1 13600 1420 0 2 3 8 1976 0 0 116000 18000 98072 FALSE +"5192" "2006-11-20" 427000 1775800730 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0.982996323529412 456767 1 2639 1410 610 1.75 2 7 1916 0 0 295000 369000 98119 FALSE +"5323" "2010-08-29" 600000 1794500555 "Single Family" "2010-08-01" 339900 0.781020220588235 768226 1 3600 1950 480 1.75 4 8 1910 0 0 382000 278000 98119 FALSE +"5324" "2007-04-17" 593000 1794500695 "Single Family" "2007-04-01" 430900 0.990119485294118 598918 1 3600 1110 0 1.5 2 7 1904 0 0 382000 269000 98119 FALSE +"5325" "2011-05-03" 590000 1794500695 "Single Family" "2011-05-01" 316900 0.728170955882353 810249 1 3600 1110 0 1.5 2 7 1904 0 0 382000 269000 98119 FALSE +"5326" "2007-06-21" 525000 1794500830 "Single Family" "2007-06-01" 433200 0.995404411764706 527424 1 3600 1600 520 1 3 7 1909 0 0 362000 282000 98119 FALSE +"5327" "2008-01-28" 581000 1794500830 "Single Family" "2008-01-01" 421900 0.969439338235294 599315 1 3600 1600 520 1 3 7 1909 0 0 362000 282000 98119 FALSE +"5328" "2009-03-04" 254900 1795500240 "Single Family" "2009-03-01" 369800 0.849724264705882 299980 1 8645 1500 0 1.75 2 7 1963 0 0 75000 140000 98042 FALSE +"5329" "2008-06-17" 657000 1795900340 "Single Family" "2008-06-01" 403200 0.926470588235294 709143 1 13447 2810 0 2.5 5 8 1986 0 0 220000 344000 98052 FALSE +"5330" "2006-03-22" 563200 1795900360 "Single Family" "2006-03-01" 392100 0.900965073529412 625107 1 9070 2150 0 2.5 4 8 1985 0 0 220000 317000 98052 FALSE +"5331" "2006-08-04" 560000 1795910110 "Single Family" "2006-08-01" 411100 0.944623161764706 592829 1 11128 2140 0 2.25 4 8 1986 0 0 220000 325000 98052 FALSE +"5332" "2011-04-21" 451300 1795920250 "Single Family" "2011-04-01" 318700 0.732306985294118 616272 1 7355 2200 0 2.25 3 8 1986 0 0 220000 325000 98052 FALSE +"5333" "2006-02-20" 670000 1795920310 "Single Family" "2006-02-01" 387600 0.890625 752281 1 7054 3210 0 3.75 4 8 1985 0 0 220000 431000 98052 FALSE +"5334" "2010-07-10" 423000 1795920350 "Single Family" "2010-07-01" 342800 0.787683823529412 537018 1 10760 2010 0 2.25 3 8 1985 0 0 220000 263000 98052 FALSE +"5335" "2006-01-18" 485000 1795920500 "Single Family" "2006-01-01" 383200 0.880514705882353 550814 1 7560 1920 0 2 3 8 1986 0 0 220000 262000 98052 FALSE +"5336" "2006-03-16" 325900 1796000100 "Single Family" "2006-03-01" 392100 0.900965073529412 361723 1 48773 1140 0 1.75 2 7 1962 0 2 115000 106000 98092 FALSE +"5337" "2006-05-26" 571500 1796000120 "Single Family" "2006-05-01" 400600 0.920496323529412 620861 1 102366 2990 0 2.5 4 8 1974 0 2 165000 256000 98092 FALSE +"5338" "2006-06-13" 312000 1796200230 "Single Family" "2006-06-01" 404400 0.929227941176471 335763 1 10074 1650 0 1.75 4 7 1977 0 0 85000 182000 98042 FALSE +"5339" "2008-01-15" 295000 1796200320 "Single Family" "2008-01-01" 421900 0.969439338235294 304300 1 9660 1650 0 1.75 4 7 1977 0 0 85000 182000 98042 FALSE +"5341" "2014-06-23" 239950 1796350080 "Single Family" "2014-06-01" 400200 0.919577205882353 260935 1 9600 1230 0 1.75 3 7 1984 0 0 95000 131000 98042 FALSE +"5342" "2009-09-01" 258990 1796350280 "Single Family" "2009-09-01" 351800 0.808363970588235 320388 1 9086 1390 0 2 3 7 1987 0 0 95000 143000 98042 FALSE +"5343" "2007-03-21" 287500 1796350510 "Single Family" "2007-03-01" 429600 0.987132352941177 291248 1 7150 1230 0 1.75 3 7 1985 0 0 95000 135000 98042 FALSE +"5344" "2008-10-08" 273000 1796350940 "Single Family" "2008-10-01" 390600 0.897518382352941 304172 1 9520 1320 0 1.75 3 7 1988 0 0 95000 145000 98042 FALSE +"5345" "2011-04-29" 165000 1796351080 "Single Family" "2011-04-01" 318700 0.732306985294118 225315 1 7995 1250 0 2 3 7 1980 0 0 95000 130000 98042 FALSE +"5346" "2006-10-25" 286000 1796360340 "Single Family" "2006-10-01" 418300 0.961167279411765 297555 1 8641 1660 0 2 3 8 1987 0 0 95000 176000 98042 FALSE +"5347" "2012-08-06" 220000 1796360370 "Single Family" "2012-08-01" 327500 0.752527573529412 292348 1 8223 1540 470 1.75 3 7 1987 0 0 95000 148000 98042 FALSE +"5348" "2008-08-12" 232000 1796360490 "Single Family" "2008-08-01" 397900 0.914292279411765 253748 1 7870 1180 0 2 4 7 1984 0 0 95000 120000 98042 FALSE +"5349" "2013-08-19" 243000 1796360520 "Single Family" "2013-08-01" 374300 0.860064338235294 282537 1 7366 1450 0 1.75 4 7 1981 0 0 95000 145000 98042 FALSE +"5350" "2007-09-10" 283500 1796360560 "Single Family" "2007-09-01" 433500 0.99609375 284612 1 7462 1180 0 1.75 4 7 1984 0 0 95000 120000 98042 FALSE +"5351" "2007-02-21" 277950 1796360830 "Single Family" "2007-02-01" 427800 0.982996323529412 282758 1 7799 1180 0 2 4 7 1984 0 0 95000 106000 98042 FALSE +"5352" "2007-12-06" 250500 1796361020 "Single Family" "2007-12-01" 425200 0.977022058823529 256391 1 8607 1150 0 2 3 7 1984 0 0 95000 104000 98042 FALSE +"5353" "2006-02-16" 300000 1796361100 "Single Family" "2006-02-01" 387600 0.890625 336842 1 7226 1380 240 2.25 3 7 1987 0 0 95000 150000 98042 FALSE +"5354" "2008-02-04" 300000 1796361100 "Single Family" "2008-02-01" 418400 0.961397058823529 312046 1 7226 1380 240 2.25 3 7 1987 0 0 95000 150000 98042 FALSE +"5355" "2007-11-28" 318000 1796370040 "Single Family" 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8 1911 2007 0 324000 605000 98115 FALSE +"5375" "2007-10-24" 500000 1797500780 "Townhouse" "2007-10-01" 431300 0.991038602941177 504521 1 1691 1470 470 2 3 8 2007 0 1 108000 317000 98115 FALSE +"5376" "2009-10-08" 738000 1797500985 "Single Family" "2009-10-01" 351200 0.806985294117647 914515 1 4000 2410 760 2.25 4 8 1910 0 1 306000 455000 98115 FALSE +"5377" "2007-04-06" 401000 1797501101 "Townhouse" "2007-04-01" 430900 0.990119485294118 405002 1 1070 1160 160 1.75 3 7 2007 0 2 112000 279000 98105 TRUE +"5378" "2006-07-12" 504000 1797501185 "Single Family" "2006-07-01" 407700 0.936810661764706 537996 1 4000 2340 1140 1.75 2 8 1915 0 1 306000 383000 98105 FALSE +"5379" "2009-06-04" 480000 1798000025 "Single Family" "2009-06-01" 357100 0.820542279411765 584979 1 3200 1050 0 1 2 8 1910 0 0 300000 259000 98115 FALSE +"5380" "2009-01-16" 445000 1798000050 "Single Family" "2009-01-01" 378200 0.869025735294118 512068 1 3200 1270 0 1 3 7 1918 0 1 255000 226000 98115 FALSE +"5381" "2006-06-21" 509000 1798000100 "Multiplex" "2006-06-01" 404400 0.929227941176471 547767 2 2440 2170 720 2.5 5 8 1911 0 1 199000 374000 98115 FALSE +"5382" "2009-04-27" 567000 1798000100 "Multiplex" "2009-04-01" 365000 0.838694852941177 676050 2 2440 2170 720 2.5 5 8 1911 0 1 199000 374000 98115 FALSE +"5383" "2007-04-19" 3150000 1802000030 "Single Family" "2007-04-01" 430900 0.990119485294118 3181434 1 20054 5300 2040 3.75 4 12 2006 0 0 1056000 2113000 98004 TRUE +"5384" "2006-10-04" 3200000 1802000040 "Single Family" "2006-10-01" 418300 0.961167279411765 3329285 1 20319 5040 1570 3.25 4 12 2006 0 0 1056000 2033000 98004 TRUE +"5385" "2013-06-27" 2725000 1802000040 "Single Family" "2013-06-01" 366100 0.841222426470588 3239334 1 20319 5040 1570 3.25 4 12 2006 0 0 1056000 2033000 98004 FALSE +"5386" "2010-01-06" 296000 1803900015 "Single Family" "2010-01-01" 350800 0.806066176470588 367216 1 8170 1840 590 1.75 3 7 1962 0 0 180000 156000 98133 FALSE +"5387" "2007-05-22" 351500 1803900050 "Single 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3 8 2004 0 0 105000 397000 98122 FALSE +"5396" "2008-07-21" 475000 1814800160 "Single Family" "2008-07-01" 400300 0.919806985294118 516413 1 2400 1530 560 1.75 3 7 1924 0 1 182000 312000 98103 FALSE +"5397" "2011-03-16" 600000 1814800825 "Single Family" "2011-03-01" 321600 0.738970588235294 811940 1 5400 2220 0 1.5 4 8 1929 0 3 303000 467000 98103 FALSE +"5398" "2006-12-19" 498000 1814801390 "Single Family" "2006-12-01" 423400 0.972886029411765 511879 1 3024 1680 830 1.75 3 7 1925 0 1 219000 343000 98103 FALSE +"5399" "2011-06-26" 435000 1814801390 "Single Family" "2011-06-01" 315500 0.724954044117647 600038 1 3024 1680 830 1.75 3 7 1925 0 1 219000 343000 98103 FALSE +"5400" "2008-05-12" 415000 1814801480 "Single Family" "2008-05-01" 407400 0.936121323529412 443319 1 3720 2020 1010 2.25 4 8 1908 0 0 247000 432000 98103 FALSE +"5401" "2007-03-23" 460000 1818800039 "Townhouse" "2007-03-01" 429600 0.987132352941177 465996 1 1601 1190 450 1.75 3 8 1984 0 1 190000 182000 98116 FALSE +"5402" 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3 7 1940 2010 0 75000 202000 98002 FALSE +"5416" "2007-03-16" 675000 1822039234 "Single Family" "2007-03-01" 429600 0.987132352941177 683799 1 47044 1580 0 1 3 7 1920 1988 0 142000 253000 98070 FALSE +"5417" "2006-06-26" 332000 1822039254 "Single Family" "2006-06-01" 404400 0.929227941176471 357286 1 37950 1130 0 1 2 6 1973 0 0 102000 180000 98070 FALSE +"5418" "2006-08-16" 389950 1822059035 "Single Family" "2006-08-01" 411100 0.944623161764706 412810 1 15625 1820 0 0.75 3 5 1910 0 1 92000 142000 98031 FALSE +"5419" "2014-10-17" 108000 1822059073 "Single Family" "2014-10-01" 407400 0.936121323529412 115370 1 12000 1380 0 1 3 7 1963 0 0 92000 119000 98031 FALSE +"5421" "2013-07-24" 587500 1822059156 "Single Family" "2013-07-01" 370700 0.851792279411765 689722 1 103672 3650 1600 3.5 3 10 2011 0 0 248000 340000 98031 FALSE +"5422" "2014-01-23" 128000 1822059331 "Single Family" "2014-01-01" 387900 0.891314338235294 143608 1 15000 1500 0 1.5 3 7 1952 0 1 92000 132000 98031 FALSE +"5423" "2007-01-29" 498500 1822059426 "Single Family" "2007-01-01" 425600 0.977941176470588 509744 1 8885 3050 0 2.75 4 9 2001 0 0 131000 290000 98031 FALSE +"5426" "2006-06-06" 454950 1822059458 "Single Family" "2006-06-01" 404400 0.929227941176471 489600 1 7618 2970 0 2.5 5 8 2006 0 0 108000 272000 98031 TRUE +"5430" "2008-04-03" 700000 1822069149 "Single Family" "2008-04-01" 411700 0.946001838235294 739956 1 42800 3320 0 2.5 4 9 2004 0 0 142000 385000 98038 FALSE +"5432" "2006-04-27" 715000 1822079069 "Single Family" "2006-04-01" 396500 0.911075367647059 784787 1 220413 3750 1320 3.5 4 9 2006 0 0 238000 512000 98038 TRUE +"5433" "2010-05-28" 225000 1822300040 "Single Family" "2010-05-01" 347800 0.799172794117647 281541 1 3500 1040 0 1.5 2 6 1904 0 0 233000 168000 98144 FALSE +"5434" "2006-06-24" 440000 1822350070 "Single Family" "2006-06-01" 404400 0.929227941176471 473511 1 6657 1380 0 1.5 3 7 1986 0 0 267000 111000 98034 FALSE +"5435" "2008-05-20" 450000 1822350070 "Single Family" "2008-05-01" 407400 0.936121323529412 480707 1 6657 1380 0 1.5 3 7 1986 0 0 267000 111000 98034 FALSE +"5436" "2010-06-10" 400000 1822350100 "Single Family" "2010-06-01" 345800 0.794577205882353 503412 1 7946 1760 0 2.5 3 7 1986 0 0 267000 208000 98034 FALSE +"5437" "2006-09-05" 350000 1822350310 "Single Family" "2006-09-01" 414800 0.953125 367213 1 7200 1150 0 1.75 3 7 1985 0 0 267000 95000 98034 FALSE +"5438" "2009-09-09" 285000 1822350310 "Single Family" "2009-09-01" 351800 0.808363970588235 352564 1 7200 1150 0 1.75 3 7 1985 0 0 267000 95000 98034 FALSE +"5440" "2006-07-13" 805000 1822380030 "Single Family" "2006-07-01" 407700 0.936810661764706 859299 1 4802 3680 700 3.5 5 10 2006 0 0 175000 569000 98028 TRUE +"5441" "2006-08-29" 797000 1822380050 "Single Family" "2006-08-01" 411100 0.944623161764706 843723 1 6461 3660 780 3.5 4 10 2006 0 0 175000 575000 98028 TRUE +"5442" "2007-01-05" 850000 1822380120 "Single Family" "2007-01-01" 425600 0.977941176470588 869173 1 5795 3660 780 3.5 4 10 2006 0 0 175000 575000 98028 FALSE +"5444" "2008-10-15" 408420 1822500160 "Single Family" "2008-10-01" 390600 0.897518382352941 455055 1 11473 2570 0 2.5 4 8 2008 0 0 86000 257000 98003 TRUE +"5445" "2009-05-29" 394502 1822500170 "Single Family" "2009-05-01" 360700 0.828814338235294 475984 1 5997 2548 0 2.5 4 8 2009 0 0 86000 259000 98003 TRUE +"5446" "2008-12-19" 325000 1822500180 "Single Family" "2008-12-01" 381600 0.876838235294118 370650 1 4850 1960 0 2.5 4 8 2008 0 0 86000 224000 98003 TRUE +"5447" "2011-04-13" 332915 1822500270 "Single Family" "2011-04-01" 318700 0.732306985294118 454611 1 5899 2382 0 2.5 4 8 2011 0 0 86000 260000 98003 TRUE +"5450" "2009-03-02" 359000 1822500520 "Single Family" "2009-03-01" 369800 0.849724264705882 422490 1 5446 2570 0 2.5 4 8 2008 0 0 86000 263000 98003 TRUE +"5451" "2007-09-24" 269001 1823049157 "Single Family" "2007-09-01" 433500 0.99609375 270056 1 7301 810 0 1 2 5 1936 0 2 81000 67000 98146 FALSE +"5452" "2006-10-11" 253000 1823049178 "Single Family" "2006-10-01" 418300 0.961167279411765 263222 1 7200 1010 0 1 2 6 1956 0 1 86000 85000 98166 FALSE +"5453" "2007-09-25" 140000 1823049189 "Single Family" "2007-09-01" 433500 0.99609375 140549 1 6750 870 0 0.75 2 5 1942 0 1 81000 56000 98146 FALSE +"5454" "2014-06-10" 175000 1823049202 "Single Family" "2014-06-01" 400200 0.919577205882353 190305 1 8400 1930 900 3 5 7 1971 0 0 97000 259000 98146 FALSE +"5456" "2006-05-16" 376000 1823059020 "Multiplex" "2006-05-01" 400600 0.920496323529412 408475 2 6579 2830 530 2 4 7 1977 0 1 94000 205000 98055 FALSE +"5457" "2006-02-06" 399000 1823059128 "Single Family" "2006-02-01" 387600 0.890625 448000 1 7039 2310 800 2.25 3 8 1959 0 0 102000 263000 98055 FALSE +"5458" "2007-03-06" 501000 1823059128 "Single Family" "2007-03-01" 429600 0.987132352941177 507531 1 7039 2310 800 2.25 3 8 1959 0 0 102000 263000 98055 FALSE +"5459" "2012-06-15" 194000 1823059152 "Single Family" "2012-06-01" 322000 0.739889705882353 262201 1 14750 1100 0 2 4 6 1928 0 0 119000 114000 98055 FALSE +"5460" "2007-02-06" 285000 1823059162 "Multiplex" "2007-02-01" 427800 0.982996323529412 289930 2 6530 1270 0 1.5 2 7 1948 0 0 106000 127000 98055 FALSE +"5461" "2006-08-24" 325000 1823059207 "Single Family" "2006-08-01" 411100 0.944623161764706 344053 1 7840 1840 900 2 4 6 1945 0 1 83000 153000 98055 FALSE +"5462" "2009-12-31" 284500 1823059207 "Single Family" "2009-12-01" 350600 0.805606617647059 353150 1 7840 1840 900 2 4 6 1945 0 1 83000 153000 98055 FALSE +"5463" "2015-04-20" 250000 1823069046 "Single Family" "2015-04-01" 429900 0.987821691176471 253082 1 23522 1890 0 1.5 3 7 1938 1968 0 274000 14000 98059 FALSE +"5464" "2006-05-18" 330000 1823069196 "Single Family" "2006-05-01" 400600 0.920496323529412 358502 1 36180 1500 0 1 3 6 1932 0 2 123000 143000 98059 FALSE +"5465" "2006-05-15" 577000 1823069217 "Single Family" "2006-05-01" 400600 0.920496323529412 626836 1 47480 2850 0 2.5 4 8 1970 0 0 153000 365000 98059 FALSE +"5466" 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0.806295955882353 446486 1 7490 1540 0 1.75 3 7 1971 0 0 143000 301000 98034 FALSE +"5518" "2006-05-10" 406000 1839910510 "Single Family" "2006-05-01" 400600 0.920496323529412 441066 1 7220 2330 770 2 4 7 1972 0 0 143000 330000 98034 FALSE +"5519" "2008-01-30" 339000 1839920050 "Single Family" "2008-01-01" 421900 0.969439338235294 349687 1 10713 1270 0 2 3 7 1969 0 0 151000 241000 98034 FALSE +"5520" "2008-05-08" 410500 1839920180 "Single Family" "2008-05-01" 407400 0.936121323529412 438512 1 7350 1620 450 2.25 3 7 1969 0 0 143000 238000 98034 FALSE +"5521" "2010-06-08" 234950 1840000030 "Single Family" "2010-06-01" 345800 0.794577205882353 295692 1 11914 1590 500 1.75 3 7 1957 0 2 101000 146000 98188 FALSE +"5522" "2006-04-26" 268000 1840000045 "Single Family" "2006-04-01" 396500 0.911075367647059 294158 1 15590 1500 470 1 3 7 1957 0 0 118000 131000 98188 FALSE +"5523" "2006-10-31" 295000 1840000160 "Single Family" "2006-10-01" 418300 0.961167279411765 306918 1 8807 1270 0 1 2 7 1957 0 0 95000 143000 98188 FALSE +"5524" "2010-11-04" 300000 1840400010 "Single Family" "2010-11-01" 332700 0.764476102941177 392426 1 9308 1780 650 2.5 4 7 1964 0 0 101000 202000 98188 FALSE +"5525" "2006-05-11" 299950 1840800065 "Single Family" "2006-05-01" 400600 0.920496323529412 325857 1 15200 1920 640 2.5 4 7 1973 0 0 115000 138000 98023 FALSE +"5526" "2006-12-20" 377000 1841500050 "Single Family" "2006-12-01" 423400 0.972886029411765 387507 1 40973 1700 0 1.5 3 8 1961 0 0 110000 176000 98031 FALSE +"5527" "2012-06-19" 348000 1841600300 "Single Family" "2012-06-01" 322000 0.739889705882353 470340 1 36900 2660 1240 2.5 6 7 1963 0 0 107000 260000 98030 FALSE +"5528" "2006-07-27" 460000 1842200080 "Single Family" "2006-07-01" 407700 0.936810661764706 491028 1 7515 2140 1000 2.25 4 7 1965 0 0 262000 194000 98052 FALSE +"5529" "2007-04-20" 531000 1842300050 "Single Family" "2007-04-01" 430900 0.990119485294118 536299 1 9072 2190 1080 2 5 7 1965 0 0 262000 287000 98052 FALSE +"5530" 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85000 192000 98042 FALSE +"5549" "2007-10-24" 397000 1843130990 "Single Family" "2007-10-01" 431300 0.991038602941177 400590 1 5263 2370 0 2.5 4 7 2003 0 0 85000 225000 98042 FALSE +"5550" "2006-06-15" 326500 1844500025 "Single Family" "2006-06-01" 404400 0.929227941176471 351367 1 7693 1410 0 1 4 7 1953 0 0 180000 145000 98133 FALSE +"5551" "2007-03-06" 794500 1852900080 "Single Family" "2007-03-01" 429600 0.987132352941177 804857 1 18229 3030 0 2.5 3 10 1993 0 0 295000 475000 98074 FALSE +"5554" "2006-06-26" 949000 1853000290 "Single Family" "2006-06-01" 404400 0.929227941176471 1021278 1 35048 3610 0 3.25 4 11 1989 0 0 310000 615000 98077 FALSE +"5555" "2010-01-13" 837500 1853000290 "Single Family" "2010-01-01" 350800 0.806066176470588 1038997 1 35048 3610 0 3.25 4 11 1989 0 0 310000 615000 98077 FALSE +"5556" "2009-04-08" 1000000 1853000530 "Single Family" "2009-04-01" 365000 0.838694852941177 1192329 1 37034 5300 0 3.75 4 11 1989 0 0 328000 702000 98077 FALSE +"5558" "2012-07-31" 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FALSE +"6548" "2015-01-16" 372000 2133020020 "Single Family" "2015-01-01" 415400 0.954503676470588 389731 1 15260 1920 0 2.5 3 7 1990 0 0 109000 211000 98019 FALSE +"6549" "2006-05-18" 455000 2133020220 "Single Family" "2006-05-01" 400600 0.920496323529412 494299 1 16198 2040 0 2.5 4 7 1990 0 0 110000 260000 98019 FALSE +"6550" "2008-04-11" 440000 2133020280 "Single Family" "2008-04-01" 411700 0.946001838235294 465115 1 18507 2040 0 2.75 3 7 1990 0 0 114000 233000 98019 FALSE +"6551" "2011-07-26" 300000 2133020290 "Single Family" "2011-07-01" 314100 0.721737132352941 415664 1 15200 2120 0 2.5 4 7 1990 0 0 115000 233000 98019 FALSE +"6552" "2007-05-24" 358000 2135200161 "Single Family" "2007-05-01" 432100 0.992876838235294 360568 1 7173 1880 940 1.75 3 7 1956 0 1 120000 147000 98106 FALSE +"6553" "2007-11-19" 417000 2138000150 "Single Family" "2007-11-01" 428400 0.984375 423619 1 8120 2180 1090 2.25 5 7 1962 0 1 164000 219000 98011 FALSE +"6554" "2007-09-19" 985000 2138700345 "Single Family" "2007-09-01" 433500 0.99609375 988863 1 6325 3080 1060 3.5 3 8 1919 0 0 562000 497000 98109 FALSE +"6555" "2007-12-18" 1490000 2138700555 "Single Family" "2007-12-01" 425200 0.977022058823529 1525042 1 3675 3400 900 3.5 4 10 2007 0 0 382000 915000 98109 FALSE +"6556" "2006-01-19" 357500 2138800080 "Single Family" "2006-01-01" 383200 0.880514705882353 406013 1 7072 1840 480 2.5 3 7 1962 0 0 170000 210000 98133 FALSE +"6557" "2006-05-15" 366928 2140900040 "Single Family" "2006-05-01" 400600 0.920496323529412 398620 1 4274 1780 0 2.5 3 7 2006 0 0 82000 165000 98042 TRUE +"6558" "2006-05-24" 361950 2140900050 "Single Family" "2006-05-01" 400600 0.920496323529412 393212 1 3634 2000 0 2.5 3 7 2006 0 0 82000 176000 98042 TRUE +"6559" "2007-01-24" 352950 2140900100 "Single Family" "2007-01-01" 425600 0.977941176470588 360911 1 3207 1960 0 2.5 4 7 2006 0 0 82000 183000 98042 TRUE +"6560" "2011-02-08" 226000 2140900100 "Single Family" "2011-02-01" 325000 0.746783088235294 302631 1 3207 1960 0 2.5 4 7 2006 0 0 82000 183000 98042 FALSE +"6561" "2006-12-20" 329950 2140900210 "Single Family" "2006-12-01" 423400 0.972886029411765 339146 1 3464 1780 0 2.5 3 7 2006 0 0 82000 165000 98042 FALSE +"6562" "2006-12-19" 327950 2140900260 "Single Family" "2006-12-01" 423400 0.972886029411765 337090 1 2720 2010 0 2.5 3 7 2006 0 0 82000 154000 98042 FALSE +"6563" "2006-06-28" 329950 2140900310 "Single Family" "2006-06-01" 404400 0.929227941176471 355080 1 3480 2010 0 2.5 3 7 2006 0 0 73000 102000 98042 TRUE +"6564" "2007-02-08" 310000 2140900470 "Single Family" "2007-02-01" 427800 0.982996323529412 315362 1 2635 1900 0 2.5 3 7 2006 0 0 82000 145000 98042 TRUE +"6565" "2011-01-25" 215000 2140900470 "Single Family" "2011-01-01" 328100 0.75390625 285181 1 2635 1900 0 2.5 3 7 2006 0 0 82000 145000 98042 FALSE +"6576" "2007-01-10" 675000 2141300080 "Single Family" "2007-01-01" 425600 0.977941176470588 690226 1 13212 3050 1460 2.5 5 8 1975 0 0 336000 272000 98006 FALSE +"6577" 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880 2.75 4 8 1979 0 0 336000 282000 98006 FALSE +"6590" "2008-05-21" 650000 2141330450 "Single Family" "2008-05-01" 407400 0.936121323529412 694354 1 7500 2570 920 2.5 4 8 1978 0 0 336000 353000 98006 FALSE +"6591" "2007-03-15" 628000 2141330560 "Single Family" "2007-03-01" 429600 0.987132352941177 636186 1 8410 2130 0 2.25 4 8 1977 0 0 336000 270000 98006 FALSE +"6592" "2008-06-19" 628500 2141330560 "Single Family" "2008-06-01" 403200 0.926470588235294 678381 1 8410 2130 0 2.25 4 8 1977 0 0 336000 270000 98006 FALSE +"6593" "2009-02-12" 510000 2141330590 "Single Family" "2009-02-01" 374400 0.860294117647059 592821 1 9089 1900 630 2.75 3 8 1977 0 0 336000 291000 98006 FALSE +"6594" "2007-02-06" 569950 2141330620 "Single Family" "2007-02-01" 427800 0.982996323529412 579809 1 9470 2440 460 3.25 4 8 1978 2013 0 336000 438000 98006 FALSE +"6595" "2006-01-25" 454000 2141500060 "Single Family" "2006-01-01" 383200 0.880514705882353 515608 1 7616 2400 0 2.5 4 8 2002 0 2 151000 287000 98059 FALSE +"6596" "2009-09-15" 415000 2141500160 "Single Family" "2009-09-01" 351800 0.808363970588235 513383 1 7378 2260 0 2.5 3 8 2002 0 0 169000 285000 98059 FALSE +"6597" "2006-06-19" 382500 2143700355 "Single Family" "2006-06-01" 404400 0.929227941176471 411632 1 11790 2530 1100 1.75 4 7 1954 0 1 97000 187000 98055 FALSE +"6598" "2006-08-16" 497500 2143700405 "Single Family" "2006-08-01" 411100 0.944623161764706 526665 1 7560 3480 1090 3.25 5 7 1900 0 0 89000 239000 98055 FALSE +"6599" "2006-07-18" 255000 2143700461 "Single Family" "2006-07-01" 407700 0.936810661764706 272200 1 4505 1650 740 2 3 6 1928 0 0 78000 135000 98055 FALSE +"6600" "2008-10-28" 270000 2143700535 "Single Family" "2008-10-01" 390600 0.897518382352941 300829 1 9560 1160 580 2 2 7 1946 0 1 91000 162000 98055 FALSE +"6601" "2014-10-06" 207000 2143700830 "Single Family" "2014-10-01" 407400 0.936121323529412 221125 1 19680 2100 0 3 5 7 1914 0 1 125000 205000 98055 FALSE +"6602" "2006-09-13" 335000 2143700935 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1.75 4 7 1955 0 2 105000 204000 98178 FALSE +"6609" "2008-08-25" 155000 2144800225 "Single Family" "2008-08-01" 397900 0.914292279411765 169530 1 6375 1740 0 1.75 3 7 1959 0 0 85000 216000 98178 FALSE +"6610" "2007-06-01" 329900 2144800810 "Single Family" "2007-06-01" 433200 0.995404411764706 331423 1 10700 1300 0 1 4 6 1910 0 0 101000 99000 98178 FALSE +"6611" "2006-05-02" 611556 2146500180 "Single Family" "2006-05-01" 400600 0.920496323529412 664376 1 5124 3020 0 2.5 4 9 2006 0 0 81000 369000 98178 FALSE +"6612" "2007-03-27" 559000 2146500240 "Single Family" "2007-03-01" 429600 0.987132352941177 566287 1 5515 3140 760 2.5 4 9 2006 0 0 81000 363000 98178 TRUE +"6613" "2007-02-06" 554000 2146500260 "Single Family" "2007-02-01" 427800 0.982996323529412 563583 1 5062 2520 0 2.5 4 9 2006 0 0 81000 348000 98178 TRUE +"6614" "2006-08-14" 535950 2146500270 "Single Family" "2006-08-01" 411100 0.944623161764706 567369 1 5279 2380 0 2.5 4 9 2006 0 0 81000 330000 98178 TRUE +"6615" "2007-01-02" 285000 2149800076 "Single Family" "2007-01-01" 425600 0.977941176470588 291429 1 15760 2356 0 1.75 4 8 1955 0 1 73000 203000 98002 FALSE +"6616" "2006-05-02" 257500 2149800095 "Multiplex" "2006-05-01" 400600 0.920496323529412 279740 1 10825 1250 0 2 3 6 1946 0 1 67000 104000 98002 FALSE +"6617" "2009-09-08" 150000 2149800365 "Single Family" "2009-09-01" 351800 0.808363970588235 185560 2 13500 1220 0 1.75 3 5 1917 0 1 71000 60000 98002 FALSE +"6618" "2008-12-10" 417000 2152000015 "Single Family" "2008-12-01" 381600 0.876838235294118 475572 1 97138 2580 0 2.5 4 8 2008 0 0 145000 257000 98092 TRUE +"6619" "2007-09-11" 5300000 2154500020 "Single Family" "2007-09-01" 433500 0.99609375 5320784 1 14850 5370 0 6.5 5 12 2007 0 0 2052000 2501000 98040 TRUE +"6620" "2006-11-08" 270000 2154900120 "Single Family" "2006-11-01" 421200 0.967830882352941 278974 1 8468 1350 0 2 3 7 1987 0 0 69000 116000 98047 FALSE +"6621" "2006-09-27" 295000 2154900140 "Single Family" "2006-09-01" 414800 0.953125 309508 1 8586 1800 600 2.5 4 7 1987 0 0 69000 143000 98047 FALSE +"6622" "2006-12-05" 457000 2155000290 "Single Family" "2006-12-01" 423400 0.972886029411765 469736 1 9600 1720 500 2.25 3 7 1967 0 0 258000 209000 98052 FALSE +"6623" "2006-11-13" 485000 2155000300 "Single Family" "2006-11-01" 421200 0.967830882352941 501121 1 9600 1840 620 2.25 3 7 1967 0 0 258000 309000 98052 FALSE +"6624" "2006-02-24" 385000 2155000340 "Single Family" "2006-02-01" 387600 0.890625 432281 1 9730 1560 0 1.75 3 7 1967 0 0 258000 203000 98052 FALSE +"6625" "2007-11-28" 495000 2155000380 "Single Family" "2007-11-01" 428400 0.984375 502857 1 9592 1560 0 1.75 4 7 1967 0 0 258000 209000 98052 FALSE +"6626" "2006-02-07" 367000 2155500030 "Single Family" "2006-02-01" 387600 0.890625 412070 1 9600 1720 0 1.75 4 8 1969 0 0 143000 205000 98059 FALSE +"6627" "2009-02-17" 339000 2156400107 "Single Family" "2009-02-01" 374400 0.860294117647059 394051 1 8350 2120 1060 2 5 7 1955 0 0 75000 147000 98198 FALSE +"6628" 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3 8 2003 0 2 107000 432000 98102 FALSE +"6642" "2007-10-08" 695000 2163901395 "Single Family" "2007-10-01" 431300 0.991038602941177 701284 1 4500 1010 0 1.75 3 7 1908 0 3 645000 30000 98102 FALSE +"6643" "2007-06-01" 324000 2171400219 "Single Family" "2007-06-01" 433200 0.995404411764706 325496 1 8000 1400 0 1.5 3 6 1960 0 0 93000 112000 98178 FALSE +"6644" "2010-04-15" 290000 2172000570 "Single Family" "2010-04-01" 349100 0.802159926470588 361524 1 11375 2360 1180 2.5 5 7 1962 0 2 93000 235000 98178 FALSE +"6645" "2006-01-25" 298200 2172000745 "Single Family" "2006-01-01" 383200 0.880514705882353 338666 1 40000 850 0 1 2 6 1918 0 1 183000 22000 98178 FALSE +"6646" "2006-05-27" 330000 2172000846 "Single Family" "2006-05-01" 400600 0.920496323529412 358502 1 13510 2080 1040 2 4 7 1950 0 0 112000 157000 98178 FALSE +"6649" "2010-09-15" 554520 2174501165 "Single Family" "2010-09-01" 337200 0.774816176470588 715679 1 4500 2460 1180 1.75 3 7 1928 0 0 486000 228000 98040 FALSE +"6650" 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1430 0 1 3 7 1954 0 0 268000 189000 98006 FALSE +"6701" "2007-05-10" 425000 2204500550 "Single Family" "2007-05-01" 432100 0.992876838235294 428049 1 12485 1800 850 1 4 7 1955 0 0 253000 207000 98006 FALSE +"6702" "2011-04-04" 450000 2205000050 "Single Family" "2011-04-01" 318700 0.732306985294118 614496 1 14850 2330 1130 4 4 8 1957 2010 2 240000 351000 98006 FALSE +"6703" "2007-06-26" 315636 2205500375 "Single Family" "2007-06-01" 433200 0.995404411764706 317093 1 10850 1210 0 1 4 7 1955 0 0 268000 120000 98006 FALSE +"6704" "2008-02-25" 405000 2205500375 "Single Family" "2008-02-01" 418400 0.961397058823529 421262 1 10850 1210 0 1 4 7 1955 0 0 268000 120000 98006 FALSE +"6705" "2007-06-07" 475000 2205500635 "Single Family" "2007-06-01" 433200 0.995404411764706 477193 1 10393 3420 1990 2.25 4 7 1963 0 3 225000 308000 98006 FALSE +"6706" "2007-02-28" 549000 2205700345 "Single Family" "2007-02-01" 427800 0.982996323529412 558496 1 8640 1700 850 2 4 7 1955 2010 0 288000 258000 98006 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0.886488970588235 394816 1 7490 1030 0 1 3 7 1955 0 0 295000 66000 98007 FALSE +"6720" "2006-10-03" 530000 2207100335 "Single Family" "2006-10-01" 418300 0.961167279411765 551413 1 7700 1640 0 1.5 3 7 1955 0 0 295000 237000 98007 FALSE +"6721" "2007-05-10" 399900 2207100425 "Single Family" "2007-05-01" 432100 0.992876838235294 402769 1 8523 1120 0 1 3 7 1955 0 0 295000 77000 98007 FALSE +"6722" "2007-06-18" 465000 2207100485 "Single Family" "2007-06-01" 433200 0.995404411764706 467147 1 7176 1340 0 1.5 4 7 1955 0 2 265000 130000 98007 FALSE +"6723" "2011-02-22" 310000 2207100635 "Single Family" "2011-02-01" 325000 0.746783088235294 415114 1 7700 1450 0 1.5 3 7 1955 0 0 295000 97000 98007 FALSE +"6724" "2006-08-28" 425000 2207100650 "Single Family" "2006-08-01" 411100 0.944623161764706 449915 1 7700 1630 570 1.75 3 7 1955 0 0 295000 127000 98007 FALSE +"6725" "2007-06-08" 440000 2207100740 "Single Family" "2007-06-01" 433200 0.995404411764706 442031 1 7700 1250 0 1 3 7 1955 0 1 250000 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FALSE +"6747" "2006-10-31" 272000 2212210750 "Single Family" "2006-10-01" 418300 0.961167279411765 282989 1 10160 1400 480 1.5 2 7 1980 0 0 96000 107000 98031 FALSE +"6748" "2009-08-06" 475000 2212250060 "Single Family" "2009-08-01" 352600 0.810202205882353 586273 1 7359 2310 520 2.75 4 8 1988 0 0 270000 229000 98006 FALSE +"6749" "2009-07-15" 481000 2212250080 "Single Family" "2009-07-01" 354400 0.814338235294118 590664 1 7851 2310 520 2.75 4 8 1989 0 0 270000 268000 98006 FALSE +"6750" "2006-04-05" 399000 2212400250 "Single Family" "2006-04-01" 396500 0.911075367647059 437944 1 13802 2370 1040 2.5 4 8 1996 0 0 76000 196000 98092 FALSE +"6751" "2006-02-14" 250000 2212600040 "Single Family" "2006-02-01" 387600 0.890625 280702 1 33224 1770 0 1.75 3 8 1968 0 0 76000 197000 98092 FALSE +"6752" "2006-12-11" 485000 2212600100 "Single Family" "2006-12-01" 423400 0.972886029411765 498517 1 67518 3150 900 2.75 4 9 1965 0 0 82000 271000 98092 FALSE +"6753" "2011-06-15" 241500 2212600100 "Single 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4450 2185 0 2.5 4 8 2006 0 0 104000 252000 98001 TRUE +"10408" "2006-01-31" 381200 3275910120 "Single Family" "2006-01-01" 383200 0.880514705882353 432929 1 4924 2415 0 2.5 4 8 2006 0 0 104000 263000 98001 TRUE +"10409" "2006-01-25" 410000 3275910140 "Single Family" "2006-01-01" 383200 0.880514705882353 465637 1 4500 2185 0 2.5 4 8 2006 0 0 104000 253000 98001 TRUE +"10410" "2006-03-08" 376200 3275910150 "Single Family" "2006-03-01" 392100 0.900965073529412 417552 1 5555 2415 0 2.5 4 8 2006 0 0 104000 264000 98001 TRUE +"10411" "2007-01-04" 519500 3275910170 "Single Family" "2007-01-01" 425600 0.977941176470588 531218 1 5238 3698 1141 3.5 5 8 2006 0 0 104000 322000 98001 TRUE +"10412" "2006-02-28" 330000 3276000020 "Single Family" "2006-02-01" 387600 0.890625 370526 1 22600 1520 0 2 3 8 1984 0 0 109000 180000 98168 FALSE +"10413" "2006-09-22" 211220 3276050250 "Single Family" "2006-09-01" 414800 0.953125 221608 1 10189 2160 700 2.75 4 8 1977 0 0 87000 184000 98092 FALSE +"10414" 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428400 0.984375 784254 1 36356 3190 0 2.5 4 10 1989 0 0 352000 411000 98075 FALSE +"10421" "2011-03-08" 553000 3276920570 "Single Family" "2011-03-01" 321600 0.738970588235294 748338 1 36356 3190 0 2.5 4 10 1989 0 0 352000 411000 98075 FALSE +"10422" "2006-05-25" 520917 3276930240 "Single Family" "2006-05-01" 400600 0.920496323529412 565909 1 35223 2460 270 2.5 3 9 1988 0 0 366000 263000 98075 FALSE +"10423" "2009-05-05" 572500 3276930330 "Single Family" "2009-05-01" 360700 0.828814338235294 690746 1 35898 2600 0 2.5 4 9 1988 0 0 366000 267000 98075 FALSE +"10424" "2007-06-11" 769250 3276930370 "Single Family" "2007-06-01" 433200 0.995404411764706 772801 1 37522 2850 0 2.5 4 9 1987 0 0 318000 310000 98075 FALSE +"10425" "2011-11-01" 640000 3276940020 "Single Family" "2011-11-01" 312200 0.717371323529412 892146 1 15051 3120 0 3 4 10 1998 0 0 276000 487000 98075 FALSE +"10426" "2006-09-22" 324000 3276970040 "Single Family" "2006-09-01" 414800 0.953125 339934 1 14603 1420 0 1.5 3 7 1984 0 0 97000 140000 98031 FALSE +"10427" "2006-02-17" 345000 3276980040 "Single Family" "2006-02-01" 387600 0.890625 387368 1 14608 1510 0 2.25 3 7 1987 0 0 97000 154000 98031 FALSE +"10428" "2006-06-01" 400000 3277800725 "Single Family" "2006-06-01" 404400 0.929227941176471 430465 1 2924 2120 1060 1.75 2 7 1929 0 0 81000 326000 98126 FALSE +"10429" "2008-04-15" 355000 3277800725 "Single Family" "2008-04-01" 411700 0.946001838235294 375264 1 2924 2120 1060 1.75 2 7 1929 0 0 81000 326000 98126 TRUE +"10430" "2008-01-23" 274950 3277800727 "Townhouse" "2008-01-01" 421900 0.969439338235294 283618 1 847 1150 190 1.5 3 7 2007 0 0 65000 171000 98126 TRUE +"10431" "2008-01-08" 283454 3277800729 "Townhouse" "2008-01-01" 421900 0.969439338235294 292390 1 1174 1170 330 1.5 3 7 2007 0 0 75000 165000 98126 TRUE +"10437" "2007-05-22" 430000 3277800820 "Townhouse" "2007-05-01" 432100 0.992876838235294 433085 1 1498 1490 300 2 2 7 2009 0 0 75000 207000 98126 FALSE +"10441" "2007-08-07" 302888 3277800835 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427908 3278600070 "Single Family" "2006-05-01" 400600 0.920496323529412 464867 1 3287 2130 0 2.5 4 7 2006 0 0 77000 426000 98126 TRUE +"10459" "2008-02-14" 380000 3278600180 "Townhouse" "2008-02-01" 418400 0.961397058823529 395258 1 2925 1580 0 2.5 3 7 2007 0 0 81000 257000 98126 TRUE +"10460" "2007-08-15" 381343 3278600240 "Townhouse" "2007-08-01" 434600 0.998621323529412 381869 1 2958 1400 0 2.5 2 7 2007 0 0 81000 248000 98126 TRUE +"10461" "2008-01-08" 519000 3278600280 "Single Family" "2008-01-01" 421900 0.969439338235294 535361 1 3795 2150 0 2.5 3 7 2007 0 0 91000 369000 98126 TRUE +"10462" "2007-11-06" 520000 3278600300 "Single Family" "2007-11-01" 428400 0.984375 528254 1 4380 2190 0 2.5 3 7 2007 0 0 95000 372000 98126 TRUE +"10463" "2007-11-01" 529990 3278600320 "Single Family" "2007-11-01" 428400 0.984375 538403 1 4084 2150 0 2.5 3 7 2007 0 0 95000 367000 98126 TRUE +"10470" "2008-02-19" 600000 3278600590 "Single Family" "2008-02-01" 418400 0.961397058823529 624092 1 2477 2500 800 3.5 4 8 2007 0 0 86000 381000 98126 TRUE +"10471" "2007-12-31" 446547 3278600600 "Single Family" "2007-12-01" 425200 0.977022058823529 457049 1 1822 1420 0 2.5 3 7 2007 0 0 75000 304000 98126 FALSE +"10472" "2007-11-13" 590000 3278600650 "Single Family" "2007-11-01" 428400 0.984375 599365 1 2912 2550 800 3.5 4 8 2007 0 0 86000 388000 98126 TRUE +"10473" "2012-03-14" 168300 3278600670 "Townhouse" "2012-03-01" 313600 0.720588235294118 233559 1 1730 1140 130 1 2 7 2007 0 0 75000 223000 98126 FALSE +"10474" "2007-07-24" 313950 3278600680 "Townhouse" "2007-07-01" 434200 0.997702205882353 314673 1 1456 1170 100 1.5 1 7 2007 0 0 75000 232000 98126 TRUE +"10475" "2007-07-19" 328066 3278600710 "Townhouse" "2007-07-01" 434200 0.997702205882353 328822 1 1157 1010 60 1.5 1 7 2007 0 0 75000 222000 98126 TRUE +"10476" "2007-12-27" 313950 3278600740 "Townhouse" "2007-12-01" 425200 0.977022058823529 321334 1 1172 1010 60 1.5 1 7 2007 0 0 75000 222000 98126 TRUE +"10477" "2007-11-13" 319950 3278600750 "Townhouse" "2007-11-01" 428400 0.984375 325029 1 1688 1180 110 1.5 1 7 2007 0 0 75000 231000 98126 TRUE +"10478" "2007-03-26" 406950 3278600770 "Townhouse" "2007-03-01" 429600 0.987132352941177 412255 1 1592 1380 0 2.5 3 7 2007 0 0 75000 248000 98126 TRUE +"10479" "2010-09-02" 225000 3278600770 "Townhouse" "2010-09-01" 337200 0.774816176470588 290391 1 1592 1380 0 2.5 3 7 2007 0 0 75000 248000 98126 FALSE +"10480" "2007-03-28" 415000 3278600780 "Single Family" "2007-03-01" 429600 0.987132352941177 420410 1 1998 1360 0 2.5 3 7 2007 0 0 75000 258000 98126 TRUE +"10481" "2007-02-09" 301950 3278600820 "Townhouse" "2007-02-01" 427800 0.982996323529412 307173 1 2081 1020 80 1 1 7 2007 0 0 81000 213000 98126 TRUE +"10482" "2007-04-03" 555000 3278600840 "Single Family" "2007-04-01" 430900 0.990119485294118 560538 1 2953 2410 770 3.5 4 8 2007 0 0 86000 372000 98126 TRUE +"10486" "2007-09-26" 399000 3278601910 "Townhouse" "2007-09-01" 433500 0.99609375 400565 1 1788 1570 260 3.25 2 7 2006 0 0 75000 255000 98126 TRUE +"10487" "2007-01-26" 349990 3278601930 "Townhouse" "2007-01-01" 425600 0.977941176470588 357885 1 1604 1560 290 2.25 2 7 2006 0 0 75000 254000 98126 TRUE +"10488" "2007-01-01" 389990 3278601940 "Townhouse" "2007-01-01" 425600 0.977941176470588 398787 1 2031 1570 260 3 3 7 2006 0 0 81000 258000 98126 TRUE +"10489" "2007-02-01" 399990 3278601960 "Townhouse" "2007-02-01" 427800 0.982996323529412 406909 1 2039 1570 260 3.25 2 7 2006 0 0 81000 257000 98126 TRUE +"10490" "2007-01-23" 389990 3278601970 "Townhouse" "2007-01-01" 425600 0.977941176470588 398787 1 2043 1570 260 3.25 2 7 2006 0 0 81000 258000 98126 TRUE +"10491" "2007-04-20" 389990 3278601990 "Townhouse" "2007-04-01" 430900 0.990119485294118 393882 1 2519 1570 280 2.5 3 7 2006 0 0 81000 253000 98126 TRUE +"10492" "2014-02-06" 347900 3278601990 "Townhouse" "2014-02-01" 389800 0.895680147058823 388420 1 2519 1570 280 2.5 3 7 2006 0 0 81000 253000 98126 FALSE +"10493" "2007-04-12" 419990 3278602040 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2.25 2 7 2006 0 0 75000 254000 98126 TRUE +"10500" "2007-05-23" 384990 3278602150 "Townhouse" "2007-05-01" 432100 0.992876838235294 387752 1 1695 1559 294 2.25 2 7 2006 0 0 75000 251000 98126 TRUE +"10501" "2006-08-08" 399990 3278602170 "Townhouse" "2006-08-01" 411100 0.944623161764706 423439 1 1705 1560 290 2.25 3 7 2006 0 0 75000 253000 98126 TRUE +"10502" "2008-06-12" 338114 3278602170 "Townhouse" "2008-06-01" 403200 0.926470588235294 364948 1 1705 1560 290 2.25 3 7 2006 0 0 75000 253000 98126 TRUE +"10503" "2006-12-19" 484990 3278602180 "Townhouse" "2006-12-01" 423400 0.972886029411765 498506 1 1956 1690 350 3.25 3 7 2006 0 0 75000 261000 98126 TRUE +"10504" "2007-04-19" 399990 3278602190 "Townhouse" "2007-04-01" 430900 0.990119485294118 403982 1 1592 1460 330 3.25 3 7 2006 0 0 75000 250000 98126 TRUE +"10506" "2006-06-27" 374990 3278602210 "Townhouse" "2006-06-01" 404400 0.929227941176471 403550 1 1441 1550 330 3.25 3 7 2006 0 0 75000 254000 98126 TRUE +"10508" "2007-06-25" 424950 3278602440 "Townhouse" "2007-06-01" 433200 0.995404411764706 426912 1 1879 1750 0 2.25 2 7 2007 0 0 75000 264000 98126 TRUE +"10509" "2007-05-25" 254990 3278602450 "Townhouse" "2007-05-01" 432100 0.992876838235294 256819 1 1444 820 60 1 1 7 2007 0 0 75000 203000 98126 TRUE +"10510" "2006-12-20" 404000 3278602460 "Townhouse" "2006-12-01" 423400 0.972886029411765 415259 1 1181 1790 0 2.5 3 7 2007 0 0 75000 268000 98126 TRUE +"10511" "2009-11-17" 304000 3278602460 "Townhouse" "2009-11-01" 350900 0.806295955882353 377033 1 1181 1790 0 2.5 3 7 2007 0 0 75000 268000 98126 FALSE +"10512" "2007-03-16" 445000 3278602470 "Townhouse" "2007-03-01" 429600 0.987132352941177 450801 1 1607 1860 0 2.5 3 7 2007 0 0 75000 271000 98126 TRUE +"10513" "2006-12-20" 425000 3278602480 "Townhouse" "2006-12-01" 423400 0.972886029411765 436845 1 1977 1780 0 2.5 3 7 2007 0 0 75000 268000 98126 TRUE +"10514" "2006-12-19" 419990 3278602490 "Townhouse" "2006-12-01" 423400 0.972886029411765 431695 1 1754 1780 0 2.5 3 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0.884650735294118 582151 1 4284 1570 800 1.75 3 6 1926 0 2 268000 240000 98105 FALSE +"13037" "2008-07-11" 390000 3856905060 "Single Family" "2008-07-01" 400300 0.919806985294118 424002 1 6120 880 0 1 2 6 1906 0 1 501000 1000 98105 FALSE +"13038" "2006-09-26" 720000 3856905200 "Single Family" "2006-09-01" 414800 0.953125 755410 1 3060 2100 700 2.25 4 9 1906 2006 1 234000 519000 98105 FALSE +"13039" "2009-02-09" 565000 3856905440 "Single Family" "2009-02-01" 374400 0.860294117647059 656752 1 5100 1720 0 1 4 7 1920 0 0 437000 294000 98103 FALSE +"13040" "2011-08-05" 380000 3856905520 "Single Family" "2011-08-01" 312700 0.718520220588235 528865 1 3060 1400 0 2.5 3 7 1984 0 1 234000 336000 98103 FALSE +"13042" "2006-05-02" 450000 3860900004 "Single Family" "2006-05-01" 400600 0.920496323529412 488867 1 8929 890 0 1 3 7 1952 0 1 509000 1000 98004 FALSE +"13045" "2007-07-05" 875000 3860900075 "Single Family" "2007-07-01" 434200 0.997702205882353 877015 1 15666 1340 120 1.75 3 7 1949 0 0 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4040700130 "Single Family" "2007-08-01" 434600 0.998621323529412 527728 1 8447 1050 0 2.75 4 7 1961 0 0 317000 109000 98008 FALSE +"13786" "2007-06-06" 395000 4040800080 "Single Family" "2007-06-01" 433200 0.995404411764706 396824 1 7700 1500 0 1.75 4 7 1966 0 1 265000 132000 98008 FALSE +"13787" "2009-09-11" 375000 4040800120 "Single Family" "2009-09-01" 351800 0.808363970588235 463900 1 7200 1220 0 1 3 7 1965 0 0 295000 109000 98008 FALSE +"13788" "2006-08-16" 439950 4040800260 "Single Family" "2006-08-01" 411100 0.944623161764706 465741 1 8521 1220 0 1.5 4 7 1965 0 0 295000 95000 98008 FALSE +"13789" "2006-02-07" 414500 4040800410 "Single Family" "2006-02-01" 387600 0.890625 465404 1 8500 1210 0 1.5 3 7 1963 0 0 295000 116000 98008 FALSE +"13790" "2011-10-07" 300000 4040800610 "Single Family" "2011-10-01" 312000 0.716911764705882 418462 1 9020 1400 0 1.5 3 7 1963 0 0 295000 123000 98008 FALSE +"13791" "2006-03-27" 950000 4045500565 "Single Family" "2006-03-01" 392100 0.900965073529412 1054425 1 29481 3080 0 2.5 3 9 2000 0 0 230000 461000 98014 FALSE +"13792" "2007-08-06" 1070000 4045500565 "Single Family" "2007-08-01" 434600 0.998621323529412 1071477 1 29481 3080 0 2.5 3 9 2000 0 0 230000 461000 98014 FALSE +"13793" "2007-04-02" 452000 4045500710 "Single Family" "2007-04-01" 430900 0.990119485294118 456511 1 15029 1160 290 0.75 2 6 1937 0 0 193000 125000 98014 FALSE +"13794" "2007-09-26" 329000 4045501080 "Single Family" "2007-09-01" 433500 0.99609375 330290 1 45866 630 0 0.75 1 5 1952 0 0 245000 58000 98014 FALSE +"13795" "2006-11-09" 775000 4045600010 "Single Family" "2006-11-01" 421200 0.967830882352941 800760 1 24452 2790 0 2.5 3 8 1998 0 0 161000 375000 98059 FALSE +"13796" "2010-04-05" 397000 4045700415 "Single Family" "2010-04-01" 349100 0.802159926470588 494914 1 20000 2420 1210 2.5 4 8 1960 0 0 78000 263000 98001 FALSE +"13797" "2007-05-24" 720000 4045700508 "Single Family" "2007-05-01" 432100 0.992876838235294 725165 1 49658 5620 1380 3.5 3 11 2007 0 0 102000 586000 98001 TRUE +"13798" "2006-04-18" 419000 4045700562 "Single Family" "2006-04-01" 396500 0.911075367647059 459896 1 53578 1790 0 1.75 3 8 1979 0 0 102000 187000 98001 FALSE +"13799" "2007-03-23" 160000 4045700656 "Single Family" "2007-03-01" 429600 0.987132352941177 162086 1 25010 2170 240 1.75 4 7 1964 0 1 83000 215000 98001 FALSE +"13800" "2006-10-31" 672500 4045900031 "Single Family" "2006-10-01" 418300 0.961167279411765 699670 1 12800 2260 630 3.25 4 8 1933 2006 0 116000 402000 98072 FALSE +"13801" "2006-09-01" 598000 4045900108 "Single Family" "2006-09-01" 414800 0.953125 627410 1 15228 2770 0 2.75 3 9 2005 0 2 112000 489000 98072 FALSE +"13802" "2006-10-26" 481000 4045900144 "Single Family" "2006-10-01" 418300 0.961167279411765 500433 1 82764 3050 1270 2.75 4 8 1972 0 0 315000 374000 98072 FALSE +"13803" "2008-04-21" 506000 4046400050 "Single Family" "2008-04-01" 411700 0.946001838235294 534883 1 8960 2020 650 2.25 4 8 1969 0 0 295000 200000 98008 FALSE 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2970 1500 2.5 3 7 1978 0 0 84000 276000 98014 FALSE +"13818" "2007-03-23" 344000 4046700300 "Single Family" "2007-03-01" 429600 0.987132352941177 348484 1 17071 1670 570 2 3 7 1988 0 0 72000 200000 98014 FALSE +"13819" "2006-10-31" 354950 4046700360 "Single Family" "2006-10-01" 418300 0.961167279411765 369291 1 15087 1660 530 1.75 3 7 1979 0 0 75000 197000 98014 FALSE +"13820" "2007-08-07" 425000 4046710230 "Single Family" "2007-08-01" 434600 0.998621323529412 425587 1 13103 2040 730 2.75 4 7 1996 0 0 92000 224000 98014 FALSE +"13821" "2007-10-15" 333000 4046710270 "Single Family" "2007-10-01" 431300 0.991038602941177 336011 1 12808 1640 500 1.75 3 7 1979 0 0 76000 194000 98014 FALSE +"13823" "2007-03-08" 625000 4047200055 "Single Family" "2007-03-01" 429600 0.987132352941177 633147 1 20520 1600 0 1.75 3 7 1988 0 0 175000 218000 98019 FALSE +"13824" "2014-08-11" 289275 4047200135 "Single Family" "2014-08-01" 403500 0.927159926470588 312001 1 24046 2860 1160 2 3 9 1985 0 0 200000 367000 98019 FALSE +"13825" "2006-04-19" 625000 4047200300 "Single Family" "2006-04-01" 396500 0.911075367647059 686003 1 12030 2605 1250 1.5 3 8 2003 0 0 157000 287000 98019 FALSE +"13826" "2013-09-26" 540000 4047200300 "Single Family" "2013-09-01" 377500 0.867417279411765 622538 1 12030 2605 1250 1.5 3 8 2003 0 0 157000 287000 98019 FALSE +"13827" "2006-05-28" 525000 4047200380 "Single Family" "2006-05-01" 400600 0.920496323529412 570344 1 19877 2730 1160 1.5 2 8 1976 0 0 175000 303000 98019 FALSE +"13828" "2007-02-08" 338466 4047200615 "Single Family" "2007-02-01" 427800 0.982996323529412 344321 1 45302 1440 0 1.75 3 7 1979 0 0 113000 203000 98019 FALSE +"13829" "2006-06-20" 701000 4048400170 "Single Family" "2006-06-01" 404400 0.929227941176471 754390 1 37710 2670 1040 2.5 3 8 1929 2004 0 253000 368000 98059 FALSE +"13830" "2007-08-20" 370000 4048400185 "Single Family" "2007-08-01" 434600 0.998621323529412 370511 1 33801 760 0 0.75 2 4 1931 0 0 213000 40000 98059 FALSE +"13831" "2012-10-05" 139950 4051100070 "Single Family" "2012-10-01" 332400 0.763786764705882 183232 1 7790 1520 440 1.75 3 7 1978 0 0 127000 118000 98042 FALSE +"13832" "2006-06-22" 271500 4051100350 "Single Family" "2006-06-01" 404400 0.929227941176471 292178 1 6375 1340 0 1.75 3 7 1978 0 0 127000 104000 98042 FALSE +"13833" "2006-01-04" 254000 4051100390 "Single Family" "2006-01-01" 383200 0.880514705882353 288468 1 7125 1310 0 1 3 7 1978 0 0 127000 101000 98042 FALSE +"13834" "2007-12-05" 302500 4051110140 "Single Family" "2007-12-01" 425200 0.977022058823529 309614 1 7980 1410 330 2 3 7 1979 0 0 127000 117000 98042 FALSE +"13835" "2010-08-04" 225000 4051110140 "Single Family" "2010-08-01" 339900 0.781020220588235 288085 1 7980 1410 330 2 3 7 1979 0 0 127000 117000 98042 FALSE +"13836" "2006-02-06" 257000 4051110290 "Single Family" "2006-02-01" 387600 0.890625 288561 1 7128 1340 0 1.75 3 7 1979 0 0 127000 95000 98042 FALSE +"13842" "2011-11-09" 355000 4053200255 "Single Family" "2011-11-01" 312200 0.717371323529412 494862 1 18890 2190 780 1.5 3 7 1958 0 0 223000 153000 98042 FALSE +"13843" "2014-12-05" 357000 4053200926 "Single Family" "2014-12-01" 413400 0.949908088235294 375826 1 49428 2700 0 2.75 4 9 1988 0 0 126000 279000 98042 FALSE +"13844" "2006-10-24" 369950 4053200978 "Single Family" "2006-10-01" 418300 0.961167279411765 384897 1 24037 2870 1370 2.25 3 7 1978 0 0 105000 186000 98042 FALSE +"13845" "2011-03-21" 419000 4053201040 "Single Family" "2011-03-01" 321600 0.738970588235294 567005 1 78775 2990 0 2.5 4 9 1991 0 0 188000 307000 98042 FALSE +"13846" "2009-08-10" 1010000 4054500100 "Single Family" "2009-08-01" 352600 0.810202205882353 1246602 1 56568 5710 0 4 4 11 1988 0 0 265000 971000 98077 FALSE +"13847" "2014-07-24" 985000 4054500180 "Single Family" "2014-07-01" 402000 0.923713235294118 1066348 1 36762 4030 0 3.25 4 11 1988 0 0 229000 753000 98077 FALSE +"13848" "2006-05-08" 1079950 4054500200 "Single Family" "2006-05-01" 400600 0.920496323529412 1173226 1 49373 4230 0 2.5 4 12 1988 0 0 239000 1023000 98077 FALSE +"13849" "2008-06-09" 1900000 4054500390 "Single Family" "2008-06-01" 403200 0.926470588235294 2050794 1 57346 5310 0 4.75 4 11 1989 0 0 266000 1033000 98077 FALSE +"13850" "2006-07-07" 849900 4054540110 "Single Family" "2006-07-01" 407700 0.936810661764706 907227 1 30021 3100 0 2.5 4 10 1994 0 0 226000 535000 98077 FALSE +"13851" "2007-01-16" 985000 4054550030 "Single Family" "2007-01-01" 425600 0.977941176470588 1007218 1 37688 4040 0 2.5 3 10 1993 0 0 231000 630000 98077 FALSE +"13852" "2006-05-09" 815000 4054560120 "Single Family" "2006-05-01" 400600 0.920496323529412 885392 1 53696 3840 0 3.5 3 9 1996 0 0 260000 525000 98077 FALSE +"13853" "2013-08-08" 902250 4054560260 "Single Family" "2013-08-01" 374300 0.860064338235294 1049049 1 37192 3440 0 2.5 4 10 1995 0 0 230000 626000 98077 FALSE +"13854" "2009-01-28" 547000 4054700300 "Single Family" "2009-01-01" 378200 0.869025735294118 629441 1 50951 3310 0 2.75 4 9 1998 0 0 232000 478000 98077 FALSE +"13855" "2006-03-10" 682500 4054700350 "Single Family" "2006-03-01" 392100 0.900965073529412 757521 1 46842 2620 0 2.5 3 9 1998 0 0 227000 388000 98077 FALSE +"13856" "2007-06-12" 639950 4054710090 "Single Family" "2007-06-01" 433200 0.995404411764706 642905 1 37042 2180 0 2.5 3 9 1998 0 0 222000 348000 98077 FALSE +"13857" "2006-05-25" 679500 4054710190 "Single Family" "2006-05-01" 400600 0.920496323529412 738189 1 51354 2620 0 2.5 3 9 1998 0 0 227000 393000 98077 FALSE +"13858" "2007-09-05" 734686 4054720190 "Single Family" "2007-09-01" 433500 0.99609375 737567 1 49968 3150 0 2.75 3 9 1998 0 0 208000 454000 98077 FALSE +"13859" "2011-08-05" 689500 4055000020 "Single Family" "2011-08-01" 312700 0.718520220588235 959611 1 27952 3470 0 3 5 10 1994 0 0 212000 618000 98077 FALSE +"13860" "2006-03-15" 1825000 4055700161 "Single Family" "2006-03-01" 392100 0.900965073529412 2025606 1 23453 4200 0 3.5 5 10 1906 2006 0 577000 767000 98034 FALSE +"13861" "2009-06-02" 725000 4055700166 "Single Family" "2009-06-01" 357100 0.820542279411765 883562 1 10500 3440 1720 3 4 9 1956 0 0 359000 418000 98034 FALSE +"13862" "2011-08-22" 486150 4055700167 "Single Family" "2011-08-01" 312700 0.718520220588235 676599 1 13554 2840 850 3 4 9 1974 0 0 446000 359000 98034 FALSE +"13863" "2007-05-04" 340000 4055700435 "Single Family" "2007-05-01" 432100 0.992876838235294 342439 1 12450 3470 0 2.5 3 10 2008 0 0 318000 684000 98034 FALSE +"13864" "2006-04-18" 735000 4055700540 "Single Family" "2006-04-01" 396500 0.911075367647059 806739 1 17800 1800 0 2 2 8 1959 0 0 447000 154000 98034 FALSE +"13865" "2008-06-25" 1150000 4055700645 "Single Family" "2008-06-01" 403200 0.926470588235294 1241270 1 19688 4620 1080 3.5 4 11 2001 0 0 404000 747000 98034 FALSE +"13866" "2006-09-28" 775000 4055700653 "Single Family" "2006-09-01" 414800 0.953125 813115 1 21245 1830 0 2.5 3 10 1990 0 0 353000 297000 98034 FALSE +"13867" "2007-05-21" 555000 4055700751 "Single Family" "2007-05-01" 432100 0.992876838235294 558982 1 22000 1470 0 1.75 3 7 1951 0 0 393000 29000 98034 FALSE +"13868" "2007-01-30" 1135000 4055700921 "Single Family" "2007-01-01" 425600 0.977941176470588 1160602 1 57653 4120 1380 3.5 5 10 1966 0 0 94700 44000 98034 FALSE +"13869" "2010-09-30" 580000 4055701001 "Single Family" "2010-09-01" 337200 0.774816176470588 748565 1 25000 2540 230 2.25 3 9 1974 0 0 431000 325000 98034 FALSE +"13870" "2007-01-18" 380000 4057000010 "Single Family" "2007-01-01" 425600 0.977941176470588 388571 1 16904 1850 300 1.75 3 7 1958 0 0 319000 95000 98034 FALSE +"13871" "2008-10-21" 304000 4057300150 "Townhouse" "2008-10-01" 390600 0.897518382352941 338712 1 3495 1150 0 1.5 3 7 1988 0 0 200000 105000 98029 FALSE +"13872" "2008-05-30" 307950 4057300170 "Townhouse" "2008-05-01" 407400 0.936121323529412 328964 1 2980 1140 0 1.5 2 7 1988 0 0 200000 102000 98029 FALSE +"13873" "2006-02-22" 270000 4057300180 "Townhouse" "2006-02-01" 387600 0.890625 303158 1 3104 1140 0 1.5 3 7 1988 0 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4058200680 "Single Family" "2013-07-01" 370700 0.851792279411765 264149 1 9955 1060 0 1 3 7 1949 0 0 129000 169000 98178 FALSE +"13881" "2006-07-18" 480800 4058200935 "Single Family" "2006-07-01" 407700 0.936810661764706 513231 1 5100 2380 1190 3.5 3 8 1953 0 0 188000 251000 98178 FALSE +"13882" "2009-06-23" 330000 4058200970 "Single Family" "2009-06-01" 357100 0.820542279411765 402173 1 5525 2320 1030 1.75 4 7 1954 0 0 188000 166000 98178 TRUE +"13883" "2012-08-13" 355000 4058200970 "Single Family" "2012-08-01" 327500 0.752527573529412 471744 1 5525 2320 1030 1.75 4 7 1954 0 0 188000 166000 98178 FALSE +"13884" "2010-05-03" 475000 4058200985 "Single Family" "2010-05-01" 347800 0.799172794117647 594365 1 7200 2180 1090 1.75 3 8 1954 0 0 204000 213000 98178 FALSE +"13885" "2006-06-26" 550000 4058200990 "Single Family" "2006-06-01" 404400 0.929227941176471 591889 1 8341 2260 1130 2 4 7 1957 0 0 213000 182000 98178 FALSE +"13886" "2009-07-17" 350000 4058200990 "Single Family" "2009-07-01" 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1994 0 0 87000 196000 98030 FALSE +"14807" "2007-02-13" 340000 4363200070 "Single Family" "2007-02-01" 427800 0.982996323529412 345881 1 9481 1840 0 2.5 3 8 1994 0 0 87000 196000 98030 FALSE +"14808" "2006-06-01" 380000 4363700100 "Single Family" "2006-06-01" 404400 0.929227941176471 408942 1 7860 1510 480 1.75 3 7 1975 0 0 117000 359000 98126 FALSE +"14809" "2007-08-16" 400000 4363700180 "Single Family" "2007-08-01" 434600 0.998621323529412 400552 1 7920 1450 570 1.5 2 7 1952 0 0 117000 200000 98126 FALSE +"14810" "2008-07-11" 215000 4363700245 "Single Family" "2008-07-01" 400300 0.919806985294118 233745 1 7500 1560 780 1.75 3 6 1919 2014 0 117000 85000 98126 FALSE +"14811" "2007-06-28" 309000 4363700260 "Single Family" "2007-06-01" 433200 0.995404411764706 310427 1 7500 800 0 1 2 6 1947 0 0 117000 235000 98126 FALSE +"14812" "2013-02-19" 315000 4363700260 "Single Family" "2013-02-01" 347000 0.797334558823529 395066 1 7500 800 0 1 2 6 1947 0 0 117000 235000 98126 FALSE +"14813" 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"2006-02-01" 387600 0.890625 367158 1 7560 780 0 1 2 6 1925 0 0 117000 160000 98126 FALSE +"14820" "2006-02-02" 364950 4364700205 "Single Family" "2006-02-01" 387600 0.890625 409768 1 7686 2040 1020 1.75 4 7 1959 0 1 111000 314000 98126 FALSE +"14821" "2006-06-28" 235000 4364700275 "Single Family" "2006-06-01" 404400 0.929227941176471 252898 1 7560 1310 0 1.75 3 6 1953 0 0 117000 206000 98126 FALSE +"14822" "2007-02-14" 468000 4364700310 "Single Family" "2007-02-01" 427800 0.982996323529412 476095 1 7200 2110 0 1.75 3 8 1988 0 1 108000 330000 98126 FALSE +"14823" "2007-08-09" 520000 4364700735 "Single Family" "2007-08-01" 434600 0.998621323529412 520718 1 7560 2820 1000 2.75 5 7 1918 0 0 117000 385000 98126 FALSE +"14824" "2007-02-08" 385000 4364700795 "Single Family" "2007-02-01" 427800 0.982996323529412 391660 1 7560 2280 1010 2.5 4 7 1968 2010 1 111000 278000 98126 FALSE +"14825" "2006-04-18" 315000 4364700945 "Single Family" "2006-04-01" 396500 0.911075367647059 345745 1 7080 2360 1180 2 4 6 1925 0 0 114000 349000 98126 FALSE +"14826" "2008-10-14" 420000 4364700945 "Single Family" "2008-10-01" 390600 0.897518382352941 467957 1 7080 2360 1180 2 4 6 1925 0 0 114000 349000 98126 FALSE +"14827" "2006-05-03" 253000 4364700970 "Single Family" "2006-05-01" 400600 0.920496323529412 274852 1 7200 930 0 1 2 6 1921 0 2 103000 135000 98126 FALSE +"14828" "2006-10-25" 292000 4365200105 "Single Family" "2006-10-01" 418300 0.961167279411765 303797 1 7360 730 0 1.5 2 6 1922 2013 1 108000 238000 98126 FALSE +"14829" "2006-06-30" 329950 4365200425 "Single Family" "2006-06-01" 404400 0.929227941176471 355080 1 7680 740 0 1 2 6 1922 0 1 111000 238000 98126 FALSE +"14830" "2009-07-27" 349112 4365200425 "Single Family" "2009-07-01" 354400 0.814338235294118 428706 1 7680 740 0 1 2 6 1922 0 1 111000 238000 98126 FALSE +"14831" "2006-12-21" 314950 4365200500 "Single Family" "2006-12-01" 423400 0.972886029411765 323728 1 7740 1670 0 1.75 3 7 1924 0 0 117000 359000 98126 FALSE +"14832" "2008-06-25" 372000 4365200505 "Single Family" "2008-06-01" 403200 0.926470588235294 401524 1 7740 1390 0 2 3 6 1925 0 0 117000 290000 98126 FALSE +"14833" "2007-08-16" 290000 4365200600 "Single Family" "2007-08-01" 434600 0.998621323529412 290400 1 7740 700 0 1 2 6 1923 0 0 117000 151000 98126 FALSE +"14834" "2011-09-22" 295000 4365200620 "Single Family" "2011-09-01" 312000 0.716911764705882 411487 1 7930 1450 300 1 2 6 1923 0 1 111000 285000 98126 FALSE +"14835" "2012-05-21" 303000 4365200785 "Single Family" "2012-05-01" 318000 0.730698529411765 414672 1 7800 1100 0 1.5 4 6 1929 0 0 117000 206000 98126 FALSE +"14836" "2007-08-22" 379500 4365200860 "Single Family" "2007-08-01" 434600 0.998621323529412 380024 1 7740 1550 0 1 4 6 1954 0 0 117000 237000 98126 FALSE +"14837" "2007-05-11" 400000 4365200880 "Single Family" "2007-05-01" 432100 0.992876838235294 402870 1 7740 1660 590 2.25 3 7 1965 0 0 117000 227000 98126 FALSE +"14838" "2007-10-02" 303000 4365200890 "Single Family" "2007-10-01" 431300 0.991038602941177 305740 1 7740 740 0 1 2 6 1923 0 0 117000 167000 98126 FALSE +"14839" "2006-08-04" 237500 4365200911 "Single Family" "2006-08-01" 411100 0.944623161764706 251423 1 6960 1360 0 1 4 6 1957 0 1 104000 200000 98126 FALSE +"14840" "2008-01-11" 257500 4365700055 "Single Family" "2008-01-01" 421900 0.969439338235294 265617 1 7440 610 0 1 1 6 1925 0 0 108000 94000 98106 FALSE +"14841" "2007-05-10" 338000 4365700160 "Single Family" "2007-05-01" 432100 0.992876838235294 340425 1 7440 1480 0 1 4 7 1928 0 0 108000 206000 98106 FALSE +"14842" "2007-08-10" 345000 4365700180 "Single Family" "2007-08-01" 434600 0.998621323529412 345476 1 7440 720 0 1 2 6 1924 0 0 108000 181000 98106 FALSE +"14845" "2006-04-28" 276000 4365700230 "Townhouse" "2006-04-01" 396500 0.911075367647059 302939 1 1332 1410 0 2 3 7 2006 0 2 64000 137000 98106 TRUE +"14846" "2006-07-11" 225000 4365700237 "Townhouse" "2006-07-01" 407700 0.936810661764706 240177 1 782 990 320 2 2 7 2005 0 0 62000 144000 98106 FALSE +"14847" "2007-12-17" 250000 4365700237 "Townhouse" "2007-12-01" 425200 0.977022058823529 255880 1 782 990 320 2 2 7 2005 0 0 62000 144000 98106 FALSE +"14849" "2011-06-13" 207000 4365700290 "Single Family" "2011-06-01" 315500 0.724954044117647 285535 1 7680 1630 380 1 2 7 1942 0 1 104000 167000 98106 FALSE +"14850" "2006-11-15" 575000 4370700065 "Single Family" "2006-11-01" 421200 0.967830882352941 594112 1 6281 2850 950 2.25 3 7 1947 0 0 245000 340000 98115 FALSE +"14851" "2008-02-20" 530000 4370700095 "Single Family" "2008-02-01" 418400 0.961397058823529 551281 1 4246 1880 750 1 3 7 1927 0 2 186000 312000 98115 FALSE +"14852" "2006-08-29" 370000 4373200056 "Single Family" "2006-08-01" 411100 0.944623161764706 391691 1 7461 1810 710 2 3 7 1947 0 0 190000 191000 98125 FALSE +"14853" "2006-04-27" 495000 4373200075 "Single Family" "2006-04-01" 396500 0.911075367647059 543314 1 7500 2600 550 1 3 8 1947 0 0 190000 300000 98125 FALSE +"14854" "2014-05-12" 315275 4375700065 "Single Family" "2014-05-01" 398100 0.914751838235294 344656 1 8040 1440 480 1.75 3 7 1951 0 0 196000 175000 98125 FALSE +"14855" "2008-08-01" 498600 4376700010 "Single Family" "2008-08-01" 397900 0.914292279411765 545340 1 9435 1750 300 1.75 3 8 1973 0 1 314000 206000 98052 FALSE +"14856" "2006-04-11" 452950 4376700150 "Single Family" "2006-04-01" 396500 0.911075367647059 497160 1 9847 1780 460 2.25 3 8 1969 0 0 325000 190000 98052 FALSE +"14857" "2009-08-04" 450000 4376700270 "Single Family" "2009-08-01" 352600 0.810202205882353 555417 1 10067 1650 0 1.75 4 8 1969 0 0 325000 177000 98052 FALSE +"14858" "2006-08-11" 530000 4376700460 "Single Family" "2006-08-01" 411100 0.944623161764706 561070 1 9225 2040 830 2.25 4 8 1973 0 0 325000 193000 98052 FALSE +"14859" "2007-05-22" 638200 4377000100 "Single Family" "2007-05-01" 432100 0.992876838235294 642779 1 12500 2510 460 2.75 4 8 1976 0 0 345000 392000 98052 FALSE +"14860" "2006-08-08" 465000 4378200025 "Single Family" "2006-08-01" 411100 0.944623161764706 492260 1 8040 1330 0 1.5 3 7 1953 0 0 251000 197000 98177 FALSE +"14861" "2007-03-29" 335450 4378500015 "Single Family" "2007-03-01" 429600 0.987132352941177 339823 1 7800 1760 0 1.75 5 7 1954 0 0 117000 330000 98126 FALSE +"14862" "2007-07-13" 700000 4379400050 "Single Family" "2007-07-01" 434200 0.997702205882353 701612 1 4814 2890 530 3.25 4 9 2006 0 0 201000 467000 98074 TRUE +"14863" "2007-01-19" 729950 4379400120 "Single Family" "2007-01-01" 425600 0.977941176470588 746415 1 4580 2980 360 2.5 3 9 2006 0 0 201000 492000 98074 TRUE +"14864" "2008-05-15" 670000 4379400140 "Single Family" "2008-05-01" 407400 0.936121323529412 715719 1 10280 2480 0 2.5 3 9 2007 0 0 201000 495000 98074 TRUE +"14865" "2006-06-27" 674640 4379400150 "Single Family" "2006-06-01" 404400 0.929227941176471 726022 1 5781 2540 0 2.75 4 9 2005 0 0 201000 465000 98074 TRUE +"14866" "2012-02-20" 517500 4379400150 "Single Family" "2012-02-01" 312300 0.717601102941177 721153 1 5781 2540 0 2.75 4 9 2005 0 0 201000 465000 98074 FALSE +"14867" "2010-09-13" 580300 4379400180 "Single Family" "2010-09-01" 337200 0.774816176470588 748952 1 5093 2600 0 2.75 4 9 2005 0 0 201000 475000 98074 FALSE +"14868" "2006-02-03" 566173 4379400190 "Single Family" "2006-02-01" 387600 0.890625 635703 1 4493 2090 0 2.5 4 9 2005 0 0 201000 381000 98074 TRUE +"14869" "2006-03-01" 616464 4379400220 "Single Family" "2006-03-01" 392100 0.900965073529412 684226 1 7806 2930 0 2.5 4 9 2005 0 0 201000 509000 98074 TRUE +"14870" "2006-04-17" 679000 4379400250 "Single Family" "2006-04-01" 396500 0.911075367647059 745273 1 6051 2600 0 2.5 4 9 2005 0 0 201000 478000 98074 FALSE +"14871" "2006-04-03" 586962 4379400260 "Single Family" "2006-04-01" 396500 0.911075367647059 644252 1 4694 2540 0 2.75 4 9 2005 0 0 201000 426000 98074 TRUE +"14872" "2009-07-14" 650000 4379400300 "Single Family" "2009-07-01" 354400 0.814338235294118 798194 1 3474 3000 730 3.5 5 8 2009 0 0 201000 514000 98074 TRUE 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"2007-03-01" 429600 0.987132352941177 679673 1 5916 2390 0 2.5 3 9 2006 0 0 201000 461000 98074 TRUE +"14880" "2006-11-17" 691120 4379400530 "Single Family" "2006-11-01" 421200 0.967830882352941 714092 1 4500 2600 0 2.75 4 9 2005 0 0 201000 437000 98074 FALSE +"14881" "2007-08-29" 676661 4379400560 "Single Family" "2007-08-01" 434600 0.998621323529412 677595 1 4555 2390 0 2.5 3 9 2006 0 0 201000 423000 98074 TRUE +"14882" "2007-10-18" 699634 4379400580 "Single Family" "2007-10-01" 431300 0.991038602941177 705960 1 4636 2580 0 2.5 4 9 2006 0 0 201000 456000 98074 FALSE +"14884" "2006-02-03" 675000 4379400610 "Single Family" "2006-02-01" 387600 0.890625 757895 1 6633 2830 0 2.75 3 9 2005 0 0 201000 504000 98074 TRUE +"14885" "2009-06-29" 630000 4379400610 "Single Family" "2009-06-01" 357100 0.820542279411765 767785 1 6633 2830 0 2.75 3 9 2005 0 0 201000 504000 98074 FALSE +"14886" "2008-06-03" 680000 4379400640 "Single Family" "2008-06-01" 403200 0.926470588235294 733968 1 4300 2480 0 2.5 3 9 2007 0 0 201000 454000 98074 TRUE +"14889" "2010-07-27" 615000 4379700100 "Single Family" "2010-07-01" 342800 0.787683823529412 780770 1 26727 2400 700 2.5 4 9 1960 0 0 389000 412000 98177 FALSE +"14890" "2006-07-24" 1240500 4385700010 "Single Family" "2006-07-01" 407700 0.936810661764706 1324174 1 4000 2740 900 3.5 4 9 1926 2006 0 625000 712000 98112 FALSE +"14891" "2011-06-23" 755000 4385700025 "Single Family" "2011-06-01" 315500 0.724954044117647 1041445 1 4000 1870 910 1.75 2 7 1928 0 0 625000 258000 98112 FALSE +"14892" "2007-09-05" 1761920 4385700035 "Single Family" "2007-09-01" 433500 0.99609375 1768829 1 4000 3550 1190 3.5 4 9 2007 0 0 625000 891000 98112 TRUE +"14893" "2006-02-23" 935000 4385700270 "Single Family" "2006-02-01" 387600 0.890625 1049825 1 4000 2830 900 2 3 8 1931 0 0 625000 411000 98112 FALSE +"14894" "2006-10-02" 1080000 4385700270 "Single Family" "2006-10-01" 418300 0.961167279411765 1123634 1 4000 2830 900 2 3 8 1931 0 0 625000 411000 98112 FALSE 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4385700660 "Single Family" "2010-08-01" 339900 0.781020220588235 1229162 1 4000 2560 900 1.5 3 8 1927 0 0 625000 493000 98112 FALSE +"14902" "2013-03-07" 1400000 4385700680 "Single Family" "2013-03-01" 351600 0.807904411764706 1732878 1 4000 3230 0 2.5 4 9 2012 0 0 625000 941000 98112 FALSE +"14903" "2006-04-26" 691000 4385700765 "Single Family" "2006-04-01" 396500 0.911075367647059 758444 1 3850 1370 600 1.75 3 7 1911 1988 0 574000 248000 98112 FALSE +"14904" "2007-05-10" 1500000 4385700860 "Single Family" "2007-05-01" 432100 0.992876838235294 1510761 1 4400 3090 1030 3.5 4 9 1927 2007 0 625000 793000 98112 FALSE +"14905" "2010-05-03" 1875000 4385701240 "Single Family" "2010-05-01" 347800 0.799172794117647 2346176 1 6000 4500 780 3.25 4 10 2005 0 0 825000 1174000 98112 FALSE +"14906" "2007-04-24" 700000 4385701380 "Single Family" "2007-04-01" 430900 0.990119485294118 706985 1 5000 1630 0 1.75 2 8 1958 0 0 726000 124000 98112 FALSE +"14907" "2006-12-01" 895000 4385701450 "Single 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293352 1 6906 2190 1150 2.25 4 7 1977 0 0 71000 168000 98023 FALSE +"14914" "2012-12-11" 154900 4388000140 "Single Family" "2012-12-01" 339400 0.779871323529412 198623 1 6440 1070 0 1 3 7 1971 0 0 71000 119000 98023 FALSE +"14915" "2011-03-09" 139500 4388000260 "Single Family" "2011-03-01" 321600 0.738970588235294 188776 1 10132 1150 0 1 3 7 1970 0 0 71000 118000 98023 FALSE +"14916" "2006-02-16" 299950 4388010320 "Single Family" "2006-02-01" 387600 0.890625 336786 1 9588 1870 570 1.75 3 7 1975 0 0 71000 174000 98023 FALSE +"14917" "2006-03-07" 532000 4388600120 "Single Family" "2006-03-01" 392100 0.900965073529412 590478 1 10032 2030 0 2.5 3 8 1973 0 0 291000 313000 98052 FALSE +"14918" "2006-01-04" 1200000 4389200430 "Single Family" "2006-01-01" 383200 0.880514705882353 1362839 1 9225 2300 0 2.25 2 10 1986 0 0 1035000 594000 98004 FALSE +"14919" "2006-07-24" 1426000 4389200640 "Single Family" "2006-07-01" 407700 0.936810661764706 1522186 1 8570 3070 0 2.5 4 10 2001 0 0 856000 908000 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9406590040 "Single Family" "2007-02-01" 427800 0.982996323529412 483216 1 5094 2920 0 2.75 4 9 2006 0 0 111000 315000 98038 TRUE +"25854" "2006-12-21" 481210 9406590080 "Single Family" "2006-12-01" 423400 0.972886029411765 494621 1 5768 2650 0 2.5 4 9 2006 0 0 111000 300000 98038 TRUE +"25855" "2007-06-19" 381000 9406590110 "Single Family" "2007-06-01" 433200 0.995404411764706 382759 1 3400 1880 0 2.5 4 9 2006 0 0 111000 254000 98038 TRUE +"25856" "2009-12-17" 276938 9406590240 "Single Family" "2009-12-01" 350600 0.805606617647059 343763 1 4457 2200 0 2.5 4 7 2009 0 1 104000 182000 98038 TRUE +"25857" "2009-11-18" 261408 9406590250 "Single Family" "2009-11-01" 350900 0.806295955882353 324208 1 5371 1870 0 2.25 4 7 2009 0 0 111000 181000 98038 TRUE +"25858" "2009-11-25" 284866 9406590280 "Single Family" "2009-11-01" 350900 0.806295955882353 353302 1 4000 2440 0 2.5 4 7 2009 0 0 111000 208000 98038 TRUE +"25859" "2007-03-13" 519990 9406590320 "Single Family" "2007-03-01" 429600 0.987132352941177 526768 1 5868 3060 0 2.75 4 9 2006 0 0 111000 324000 98038 TRUE +"25860" "2007-03-22" 534990 9406590330 "Single Family" "2007-03-01" 429600 0.987132352941177 541964 1 6839 3190 0 2.75 4 9 2006 0 0 111000 332000 98038 TRUE +"25861" "2008-10-09" 330000 9406600030 "Single Family" "2008-10-01" 390600 0.897518382352941 367680 1 20520 1720 350 1.75 3 8 1989 0 0 116000 197000 98038 FALSE +"25864" "2006-03-24" 279900 9407000550 "Single Family" "2006-03-01" 392100 0.900965073529412 310667 1 15330 1090 0 1.75 3 7 1975 0 0 130000 98000 98045 FALSE +"25865" "2006-03-08" 279900 9407000610 "Single Family" "2006-03-01" 392100 0.900965073529412 310667 1 10200 1100 0 1 3 7 1983 0 0 123000 100000 98045 FALSE +"25866" "2014-01-09" 251000 9407000610 "Single Family" "2014-01-01" 387900 0.891314338235294 281607 1 10200 1100 0 1 3 7 1983 0 0 123000 100000 98045 FALSE +"25867" "2006-09-19" 290000 9407000740 "Single Family" "2006-09-01" 414800 0.953125 304262 1 9025 910 0 1 3 7 1977 0 0 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9407001060 "Single Family" "2006-11-01" 421200 0.967830882352941 302739 1 9200 1530 490 2.25 3 7 1979 0 0 123000 125000 98045 FALSE +"25875" "2007-05-31" 370000 9407001060 "Single Family" "2007-05-01" 432100 0.992876838235294 372654 1 9200 1530 490 2.25 3 7 1979 0 0 123000 125000 98045 FALSE +"25876" "2012-07-31" 232000 9407001600 "Single Family" "2012-07-01" 325300 0.747472426470588 310379 1 11500 1660 530 1.75 3 7 1979 0 0 123000 129000 98045 FALSE +"25877" "2010-07-27" 222500 9407001700 "Single Family" "2010-07-01" 342800 0.787683823529412 282474 1 20954 960 0 1 2 7 1977 0 0 139000 67000 98045 FALSE +"25878" "2011-04-13" 239950 9407001790 "Single Family" "2011-04-01" 318700 0.732306985294118 327663 1 10800 1010 0 1 3 7 1972 0 0 123000 104000 98045 FALSE +"25879" "2009-08-05" 289000 9407001830 "Single Family" "2009-08-01" 352600 0.810202205882353 356701 1 9000 1860 0 2 5 7 1980 0 0 123000 152000 98045 FALSE +"25880" "2006-11-28" 333000 9407001870 "Single Family" "2006-11-01" 421200 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"2007-06-06" 452800 9412200925 "Single Family" "2007-06-01" 433200 0.995404411764706 454890 1 9603 1830 0 3 4 7 1999 0 0 163000 251000 98027 FALSE +"25932" "2007-07-10" 624950 9412400106 "Single Family" "2007-07-01" 434200 0.997702205882353 626389 1 11022 2520 1260 2 4 8 1954 0 1 204000 370000 98118 FALSE +"25933" "2011-12-21" 365000 9412400109 "Single Family" "2011-12-01" 311900 0.716681985294118 509291 1 7852 1990 600 2 3 8 1961 0 1 179000 257000 98118 FALSE +"25934" "2011-10-28" 1000000 9412400165 "Single Family" "2011-10-01" 312000 0.716911764705882 1394872 2 48561 6540 1680 6 8 10 1900 0 0 595000 825000 98118 FALSE +"25935" "2008-05-19" 1875000 9412400195 "Single Family" "2008-05-01" 407400 0.936121323529412 2002946 1 17134 4200 310 2.75 4 10 1999 0 1 320000 673000 98118 FALSE +"25936" "2012-06-19" 246000 9412700110 "Single Family" "2012-06-01" 322000 0.739889705882353 332482 1 10476 1870 580 2.25 3 7 1974 0 0 96000 167000 98042 FALSE +"25937" "2006-03-20" 262000 9412700220 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+Discretionary",internet_retail,AMZN +consumer_discretionary,"Consumer +Discretionary",internet_retail,TRIP +consumer_discretionary,"Consumer +Discretionary",restaurants,CMG +consumer_discretionary,"Consumer +Discretionary",restaurants,DRI +consumer_discretionary,"Consumer +Discretionary",restaurants,MCD +consumer_discretionary,"Consumer +Discretionary",restaurants,SBUX +consumer_discretionary,"Consumer +Discretionary",restaurants,YUM +utilities,Utilities,gas_utilities,GAS +utilities,Utilities,multiutilities,AEE +utilities,Utilities,multiutilities,CNP +utilities,Utilities,multiutilities,CMS +utilities,Utilities,multiutilities,DTE +utilities,Utilities,multiutilities,ES +utilities,Utilities,multiutilities,EXC +utilities,Utilities,multiutilities,NEE +utilities,Utilities,multiutilities,NI +utilities,Utilities,multiutilities,PCG +utilities,Utilities,multiutilities,PNW +utilities,Utilities,multiutilities,SCG +utilities,Utilities,multiutilities,SRE +utilities,Utilities,multiutilities,XEL +utilities,Utilities,independent_power_producers_&_energy_traders,AES +utilities,Utilities,independent_power_producers_&_energy_traders,NRG +utilities,Utilities,electric_utilities,AEP +utilities,Utilities,electric_utilities,ED +utilities,Utilities,electric_utilities,D +utilities,Utilities,electric_utilities,DUK +utilities,Utilities,electric_utilities,EIX +utilities,Utilities,electric_utilities,ETR +utilities,Utilities,electric_utilities,FE +utilities,Utilities,electric_utilities,POM +utilities,Utilities,electric_utilities,PPL +utilities,Utilities,electric_utilities,PEG +utilities,Utilities,electric_utilities,SO +utilities,Utilities,electric_utilities,TE +utilities,Utilities,electric_utilities,WEC +materials,Materials,steel,NUE +materials,Materials,gold,NEM +materials,Materials,aluminum,AA +materials,Materials,metal_&_glass_containers,BLL +materials,Materials,metal_&_glass_containers,OI +materials,Materials,paper_products,IP +materials,Materials,fertilizers_&_agricultural_chemicals,CF +materials,Materials,fertilizers_&_agricultural_chemicals,MON +materials,Materials,fertilizers_&_agricultural_chemicals,MOS +materials,Materials,paper_packaging,AVY +materials,Materials,paper_packaging,WRK +materials,Materials,paper_packaging,SEE +materials,Materials,diversified_metals_&_mining,FCX +materials,Materials,construction_materials,MLM +materials,Materials,construction_materials,VMC +materials,Materials,industrial_gases,APD +materials,Materials,industrial_gases,ARG +materials,Materials,industrial_gases,PX +materials,Materials,specialty_chemicals,ECL +materials,Materials,specialty_chemicals,IFF +materials,Materials,specialty_chemicals,SHW +materials,Materials,diversified_chemicals,DOW +materials,Materials,diversified_chemicals,DD +materials,Materials,diversified_chemicals,EMN +materials,Materials,diversified_chemicals,FMC +materials,Materials,diversified_chemicals,LYB +materials,Materials,diversified_chemicals,PPG +materials,Materials,diversified_chemicals,SIAL +etf,EFTs,industrials,XLI +etf,EFTs,broad,QQQ +etf,EFTs,broad,SPY +etf,EFTs,broad,DIA +etf,EFTs,broad,GLD +etf,EFTs,broad,VXX +etf,EFTs,broad,USO +etf,EFTs,broad,IWM +etf,EFTs,energy,XLE +etf,EFTs,consumer_discretionary,XLY +etf,EFTs,utilities,XLU +etf,EFTs,materials,XLB +etf,EFTs,telecommunications_services,XTL +etf,EFTs,health_care,XLV +etf,EFTs,consumer_staples,XLP +etf,EFTs,financials,XLF +etf,EFTs,information_technology,XLK +telecommunications_services,Telecom,integrated_telecommunications_services,T +telecommunications_services,Telecom,integrated_telecommunications_services,CTL +telecommunications_services,Telecom,integrated_telecommunications_services,FTR +telecommunications_services,Telecom,integrated_telecommunications_services,VZ +telecommunications_services,Telecom,alternative_carriers,LVLT +consumer_staples,"Consumer +Staples",household_products,CLX +consumer_staples,"Consumer +Staples",household_products,CL +consumer_staples,"Consumer +Staples",household_products,KMB +consumer_staples,"Consumer +Staples",distillers_&_vintners,BF-B +consumer_staples,"Consumer +Staples",distillers_&_vintners,STZ +consumer_staples,"Consumer +Staples",packaged_foods_&_meats,CPB +consumer_staples,"Consumer +Staples",packaged_foods_&_meats,CAG +consumer_staples,"Consumer +Staples",packaged_foods_&_meats,GIS +consumer_staples,"Consumer +Staples",packaged_foods_&_meats,HRL +consumer_staples,"Consumer +Staples",packaged_foods_&_meats,K +consumer_staples,"Consumer +Staples",packaged_foods_&_meats,GMCR +consumer_staples,"Consumer +Staples",packaged_foods_&_meats,MKC +consumer_staples,"Consumer +Staples",packaged_foods_&_meats,MJN +consumer_staples,"Consumer +Staples",packaged_foods_&_meats,MDLZ +consumer_staples,"Consumer +Staples",packaged_foods_&_meats,SJM +consumer_staples,"Consumer +Staples",packaged_foods_&_meats,HSY +consumer_staples,"Consumer +Staples",packaged_foods_&_meats,TSN +consumer_staples,"Consumer +Staples",tobacco,MO +consumer_staples,"Consumer +Staples",tobacco,PM +consumer_staples,"Consumer +Staples",tobacco,RAI +consumer_staples,"Consumer +Staples",drug_retail,CVS +consumer_staples,"Consumer +Staples",drug_retail,WBA +consumer_staples,"Consumer +Staples",agricultural_products,ADM +consumer_staples,"Consumer +Staples",food_distributors,SYY +consumer_staples,"Consumer +Staples",hypermarkets_&_super_centers,COST +consumer_staples,"Consumer +Staples",hypermarkets_&_super_centers,WMT +consumer_staples,"Consumer +Staples",personal_products,EL +consumer_staples,"Consumer +Staples",personal_products,PG +consumer_staples,"Consumer +Staples",brewers,TAP +consumer_staples,"Consumer +Staples",soft_drinks,KO +consumer_staples,"Consumer +Staples",soft_drinks,CCE +consumer_staples,"Consumer +Staples",soft_drinks,DPS +consumer_staples,"Consumer +Staples",soft_drinks,MNST +consumer_staples,"Consumer +Staples",soft_drinks,PEP +consumer_staples,"Consumer +Staples",food_retail,KR +consumer_staples,"Consumer +Staples",food_retail,WFM +financials,Financials,asset_management_&_custody_banks,AMG +financials,Financials,asset_management_&_custody_banks,BLK +financials,Financials,asset_management_&_custody_banks,BEN +financials,Financials,asset_management_&_custody_banks,IVZ +financials,Financials,asset_management_&_custody_banks,LM +financials,Financials,asset_management_&_custody_banks,NTRS +financials,Financials,consumer_finance,AXP +financials,Financials,consumer_finance,HRB +financials,Financials,consumer_finance,COF +financials,Financials,consumer_finance,DFS +financials,Financials,consumer_finance,NAVI +financials,Financials,thrifts_&_mortgage_finance,HCBK +financials,Financials,thrifts_&_mortgage_finance,PBCT +financials,Financials,investment_banking_&_brokerage,SCHW +financials,Financials,investment_banking_&_brokerage,ETFC +financials,Financials,investment_banking_&_brokerage,GS +financials,Financials,investment_banking_&_brokerage,MS +financials,Financials,office_reits,O +financials,Financials,office_reits,SLG +financials,Financials,retail_reits,MAC +financials,Financials,specialized_reits,AMT +financials,Financials,real_estate_services,CBG +financials,Financials,diversified_financial_services,AMP +financials,Financials,diversified_financial_services,CME +financials,Financials,diversified_financial_services,EFX +financials,Financials,diversified_financial_services,ICE +financials,Financials,diversified_financial_services,MHFI +financials,Financials,diversified_financial_services,MCO +financials,Financials,diversified_financial_services,NDAQ +financials,Financials,diversified_financial_services,PFG +financials,Financials,diversified_financial_services,PLD +financials,Financials,diversified_financial_services,PRU +financials,Financials,diversified_financial_services,RF +financials,Financials,diversified_financial_services,STT +financials,Financials,diversified_financial_services,TROW +financials,Financials,diversified_financial_services,UNM +financials,Financials,diversified_financial_services,VTR +financials,Financials,life_&_health_insurance,AFL +financials,Financials,life_&_health_insurance,GNW +financials,Financials,life_&_health_insurance,MET +financials,Financials,life_&_health_insurance,TMK +financials,Financials,property_&_casualty_insurance,ACE +financials,Financials,property_&_casualty_insurance,ALL +financials,Financials,property_&_casualty_insurance,AIG +financials,Financials,property_&_casualty_insurance,CB +financials,Financials,property_&_casualty_insurance,CINF +financials,Financials,property_&_casualty_insurance,HIG +financials,Financials,property_&_casualty_insurance,PGR +financials,Financials,property_&_casualty_insurance,TRV +financials,Financials,property_&_casualty_insurance,XL +financials,Financials,residential_reits,AVB +financials,Financials,residential_reits,ESS +financials,Financials,banks,BAC +financials,Financials,banks,BK +financials,Financials,banks,BBT +financials,Financials,banks,C +financials,Financials,banks,CMA +financials,Financials,banks,FITB +financials,Financials,banks,HBAN +financials,Financials,banks,JPM +financials,Financials,banks,KEY +financials,Financials,banks,MTB +financials,Financials,banks,PNC +financials,Financials,banks,STI +financials,Financials,banks,USB +financials,Financials,banks,WFC +financials,Financials,banks,ZION +financials,Financials,reits,AIV +financials,Financials,reits,BXP +financials,Financials,reits,CCI +financials,Financials,reits,EQR +financials,Financials,reits,GGP +financials,Financials,reits,HCP +financials,Financials,reits,HCN +financials,Financials,reits,HST +financials,Financials,reits,KIM +financials,Financials,reits,PCL +financials,Financials,reits,PSA +financials,Financials,reits,SPG +financials,Financials,reits,VNO +financials,Financials,reits,WY +financials,Financials,multi-sector_holdings,BRK-B +financials,Financials,multi-sector_holdings,LUK +financials,Financials,multi-sector_holdings,L +financials,Financials,insurance_brokers,AON +financials,Financials,insurance_brokers,MMC +financials,Financials,multi-line_insurance,AIZ +financials,Financials,multi-line_insurance,LNC +health_care,Health Care,health_care_facilities,DVA +health_care,Health Care,health_care_facilities,HCA +health_care,Health Care,health_care_facilities,LH +health_care,Health Care,health_care_facilities,DGX +health_care,Health Care,health_care_facilities,THC +health_care,Health Care,health_care_facilities,UHS +health_care,Health Care,health_care_supplies,XRAY +health_care,Health Care,health_care_supplies,PDCO +health_care,Health Care,managed_health_care,AET +health_care,Health Care,managed_health_care,CI +health_care,Health Care,managed_health_care,HUM +health_care,Health Care,managed_health_care,UNH +health_care,Health Care,managed_health_care,ANTM +health_care,Health Care,health_care_distribution_&_services,ABC +health_care,Health Care,pharmaceuticals,ABBV +health_care,Health Care,pharmaceuticals,AGN +health_care,Health Care,pharmaceuticals,ENDP +health_care,Health Care,pharmaceuticals,LLY +health_care,Health Care,pharmaceuticals,MNK +health_care,Health Care,pharmaceuticals,MRK +health_care,Health Care,pharmaceuticals,MYL +health_care,Health Care,pharmaceuticals,PRGO +health_care,Health Care,pharmaceuticals,PFE +health_care,Health Care,pharmaceuticals,ZTS +health_care,Health Care,health_care_equipment_&_services,ABT +health_care,Health Care,health_care_equipment_&_services,A +health_care,Health Care,health_care_equipment_&_services,BCR +health_care,Health Care,health_care_equipment_&_services,BAX +health_care,Health Care,health_care_equipment_&_services,BDX +health_care,Health Care,health_care_equipment_&_services,BSX +health_care,Health Care,health_care_equipment_&_services,EW +health_care,Health Care,health_care_equipment_&_services,HSP +health_care,Health Care,health_care_equipment_&_services,ISRG +health_care,Health Care,health_care_equipment_&_services,JNJ +health_care,Health Care,health_care_equipment_&_services,MDT +health_care,Health Care,health_care_equipment_&_services,PKI +health_care,Health Care,health_care_equipment_&_services,STJ +health_care,Health Care,health_care_equipment_&_services,SYK +health_care,Health Care,health_care_equipment_&_services,TMO +health_care,Health Care,health_care_equipment_&_services,VAR +health_care,Health Care,health_care_equipment_&_services,ZBH +health_care,Health Care,health_care_distributors_&_services,BMY +health_care,Health Care,health_care_distributors_&_services,CAH +health_care,Health Care,health_care_distributors_&_services,CERN +health_care,Health Care,health_care_distributors_&_services,ESRX +health_care,Health Care,health_care_distributors_&_services,MCK +health_care,Health Care,health_care_distributors_&_services,WAT +health_care,Health Care,biotechnology,ALXN +health_care,Health Care,biotechnology,AMGN +health_care,Health Care,biotechnology,BXLT +health_care,Health Care,biotechnology,BIIB +health_care,Health Care,biotechnology,CELG +health_care,Health Care,biotechnology,GILD +health_care,Health Care,biotechnology,REGN +health_care,Health Care,biotechnology,VRTX +health_care,Health Care,health_care_distributors,HSIC diff --git a/python_R/notebooks/data/state.csv b/python_R/notebooks/data/state.csv new file mode 100644 index 0000000..b598534 --- /dev/null +++ b/python_R/notebooks/data/state.csv @@ -0,0 +1,51 @@ +"State","Population","Murder.Rate","Abbreviation" +"Alabama",4779736,5.7,"AL" +"Alaska",710231,5.6,"AK" +"Arizona",6392017,4.7,"AZ" +"Arkansas",2915918,5.6,"AR" +"California",37253956,4.4,"CA" +"Colorado",5029196,2.8,"CO" +"Connecticut",3574097,2.4,"CT" +"Delaware",897934,5.8,"DE" +"Florida",18801310,5.8,"FL" +"Georgia",9687653,5.7,"GA" +"Hawaii",1360301,1.8,"HI" +"Idaho",1567582,2,"ID" +"Illinois",12830632,5.3,"IL" +"Indiana",6483802,5,"IN" +"Iowa",3046355,1.9,"IA" +"Kansas",2853118,3.1,"KS" +"Kentucky",4339367,3.6,"KY" +"Louisiana",4533372,10.3,"LA" +"Maine",1328361,1.6,"ME" +"Maryland",5773552,6.1,"MD" +"Massachusetts",6547629,2,"MA" +"Michigan",9883640,5.4,"MI" +"Minnesota",5303925,1.6,"MN" +"Mississippi",2967297,8.6,"MS" +"Missouri",5988927,6.6,"MO" +"Montana",989415,3.6,"MT" +"Nebraska",1826341,2.9,"NE" +"Nevada",2700551,6,"NV" +"New Hampshire",1316470,0.9,"NH" +"New Jersey",8791894,3.9,"NJ" +"New Mexico",2059179,4.8,"NM" +"New York",19378102,3.1,"NY" +"North Carolina",9535483,5.1,"NC" +"North Dakota",672591,3,"ND" +"Ohio",11536504,4,"OH" +"Oklahoma",3751351,4.5,"OK" +"Oregon",3831074,2,"OR" +"Pennsylvania",12702379,4.8,"PA" +"Rhode Island",1052567,2.4,"RI" +"South Carolina",4625364,6.4,"SC" +"South Dakota",814180,2.3,"SD" +"Tennessee",6346105,5.7,"TN" +"Texas",25145561,4.4,"TX" +"Utah",2763885,2.3,"UT" +"Vermont",625741,1.6,"VT" +"Virginia",8001024,4.1,"VA" +"Washington",6724540,2.5,"WA" +"West Virginia",1852994,4,"WV" +"Wisconsin",5686986,2.9,"WI" +"Wyoming",563626,2.7,"WY" diff --git a/python_R/notebooks/data/web_page_data.csv b/python_R/notebooks/data/web_page_data.csv new file mode 100644 index 0000000..871de86 --- /dev/null +++ b/python_R/notebooks/data/web_page_data.csv @@ -0,0 +1,37 @@ +Page,Time +Page A,0.21 +Page B,2.53 +Page A,0.35 +Page B,0.71 +Page A,0.67 +Page B,0.85 +Page A,2.11 +Page B,2.46 +Page A,1.32 +Page B,1.49 +Page A,0.68 +Page B,0.75 +Page A,3.21 +Page B,3.33 +Page A,1.47 +Page B,1.87 +Page A,0.95 +Page B,1.26 +Page A,0.45 +Page B,0.48 +Page A,1.18 +Page B,1.47 +Page A,3.42 +Page B,3.57 +Page A,1.97 +Page B,2.23 +Page A,0.39 +Page B,0.43 +Page A,0.65 +Page B,0.87 +Page A,1.73 +Page A,0.74 +Page A,0.86 +Page A,1.18 +Page A,2.06 +Page A,0.93 \ No newline at end of file