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{
"metadata": {
"name": "",
"signature": "sha256:1c3ef4900688a118ad0df163e4eca0fb950cd41b84f35ac3bdc345a624a76593"
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "heading",
"level": 1,
"metadata": {},
"source": [
"Getting Started With ggplot"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"*ggplot* is a Python port of the popular *ggplot2* R implementation by Hadley of Wickham of many the ideas proposed in Leland Wilkinson's *The Grammar of Graphics*. As such, it attempts to enforce good practice in the generation of charts from appropriately shaped datasets.\n",
"\n",
"The \"default\" graphics library for use with *pandas* is arguably the [matplotlib](http://matplotlib.org/) 2D Python plotting library, but whilst *matplotlib* offers a wide variety of powerful charting capabilities, it is often less concise and more convoluted than *ggplot*. It doesn't produce charts that are quite as pretty (or professional looking) as *ggplot* does out of the box either!\n",
"\n",
"*ggplot* also offers a cleaner separation of data and graphical transformations, in accord with Wilkinson's original model. The full original *ggplot2* implementation was also developed with the production of *statistical graphics* in mind. That is, the library provided a range of statistical transformations that could be applied to a dataset as part of the graphic generation process.\n",
"\n",
"The full *ggplot* documentation can be found here: [*ggplot* documentation](http://ggplot.yhathq.com/docs/).\n",
"\n",
"The python *[statsmodels](http://statsmodels.sourceforge.net/)* library is one of the more widely use statistical computing libraries for Python, providing a range of powerful chart types as well as employing *pandas* based data structres for representing datasets. But whilst it *statsmodels* does support the generation of powerful statistical charts, it is rather lacking in support of simpler chart types.\n",
"\n",
"So on these grounds of what we might term, at worst, *principled expediency*, we will tend to focus on the use of *ggplot* although you are free to explore other charting libraries yourself. If you particularly want to make use of interactive Javascript style charts, howver, [Vincent](http://vincent.readthedocs.org/en/latest/) could be a good choice. If you prefer using *matplotlib*, that's fine too. However, we do expect that you *also* gain an understanding of how to make use of graphics libraries based on the ideas of *The Grammar of Graphics*."
]
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Finding Some Data..."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import pandas as pd"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 37
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The data we will be using in this notebook was released under a Freedom of Information request to the Isle of Wight Council and describes the revenue taken by two ticket machines in a particular pay and display car park over a twelve month period. (You can see the original FOI request here: [Pay and display ticket machine logs](https://www.whatdotheyknow.com/request/pay_and_display_ticket_machine_l).)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The data is supplied in a set of Excel spreadsheets. We will open just one for now."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"!ls data"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"CarParks.kml\t\t anscombesQuartet_longish.tsv\r\n",
"anscombesQuartet.csv\t iw_parkingMeterData\r\n",
"anscombesQuartet_hier.csv pay_and_display_ticket_machine_l.zip\r\n",
"anscombesQuartet_long.tsv tmpfile.csv\r\n"
]
}
],
"prompt_number": 38
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"! unzip data/pay_and_display_ticket_machine_l.zip -P "
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Archive: data/pay_and_display_ticket_machine_l.zip\r\n",
"caution: filename not matched: -P\r\n"
]
}
],
"prompt_number": 39
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"df=pd.read_excel(\"data/iw_parkingMeterData/4_5_Transaction Report RR Dec 2012 March 2013.xls\")\n",
"df[:10]"
],
"language": "python",
"metadata": {},
"outputs": [
{
"html": [
"<div style=\"max-height:1000px;max-width:1500px;overflow:auto;\">\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th>Transaction Report</th>\n",
" <th>Unnamed: 1</th>\n",
" <th>Unnamed: 2</th>\n",
" <th>Unnamed: 3</th>\n",
" <th>Unnamed: 4</th>\n",
" <th>2014-03-17 15:25:47.526000</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th rowspan=\"5\" valign=\"top\">NaN</th>\n",
" <th rowspan=\"5\" valign=\"top\">NaN</th>\n",
" <th rowspan=\"5\" valign=\"top\">NaN</th>\n",
" <th>NaN</th>\n",
" <td> 01/12/2012 00:00 - 31/03/2013 00:00</td>\n",
" <td> NaN</td>\n",
" <td> NaN</td>\n",
" <td>NaN</td>\n",
" <td> NaN</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" <tr>\n",
" <th>NaN</th>\n",
" <td> Machines : YARR01, YARR02</td>\n",
" <td> NaN</td>\n",
" <td> NaN</td>\n",
" <td>NaN</td>\n",
" <td> NaN</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" <tr>\n",
" <th>NaN</th>\n",
" <td> NaN</td>\n",
" <td> NaN</td>\n",
" <td> NaN</td>\n",
" <td>NaN</td>\n",
" <td> NaN</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" <tr>\n",
" <th>NaN</th>\n",
" <td> Tariffs : ALL</td>\n",
" <td> NaN</td>\n",
" <td> NaN</td>\n",
" <td>NaN</td>\n",
" <td> NaN</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" <tr>\n",
" <th>NaN</th>\n",
" <td> NaN</td>\n",
" <td> NaN</td>\n",
" <td> NaN</td>\n",
" <td>NaN</td>\n",
" <td> NaN</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" <tr>\n",
" <th>Date</th>\n",
" <th>Machine</th>\n",
" <th>Description</th>\n",
" <th>NaN</th>\n",
" <td> NaN</td>\n",
" <td> Tariff</td>\n",
" <td> Description</td>\n",
" <td>NaN</td>\n",
" <td> Cash</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2012-12-01 06:38:53</th>\n",
" <th>YARR01</th>\n",
" <th>River Road 1 Yarmouth</th>\n",
" <th>NaN</th>\n",
" <td> NaN</td>\n",
" <td> 01F</td>\n",
" <td> LS with Cch \u00a36.60 6&gt;24hrs</td>\n",
" <td>NaN</td>\n",
" <td> 6.6</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2012-12-01 07:26:12</th>\n",
" <th>YARR01</th>\n",
" <th>River Road 1 Yarmouth</th>\n",
" <th>NaN</th>\n",
" <td> NaN</td>\n",
" <td> 01F</td>\n",
" <td> LS with Cch \u00a36.60 6&gt;24hrs</td>\n",
" <td>NaN</td>\n",
" <td> 6.6</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2012-12-01 08:22:15</th>\n",
" <th>YARR01</th>\n",
" <th>River Road 1 Yarmouth</th>\n",
" <th>NaN</th>\n",
" <td> NaN</td>\n",
" <td> 01F</td>\n",
" <td> LS with Cch \u00a36.60 6&gt;24hrs</td>\n",
" <td>NaN</td>\n",
" <td> 6.6</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2012-12-01 08:27:01</th>\n",
" <th>YARR01</th>\n",
" <th>River Road 1 Yarmouth</th>\n",
" <th>NaN</th>\n",
" <td> NaN</td>\n",
" <td> 01F</td>\n",
" <td> LS with Cch \u00a36.60 6&gt;24hrs</td>\n",
" <td>NaN</td>\n",
" <td> 6.6</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"metadata": {},
"output_type": "pyout",
"prompt_number": 40,
"text": [
" Transaction Report \\\n",
"NaN NaN NaN NaN 01/12/2012 00:00 - 31/03/2013 00:00 \n",
" NaN Machines : YARR01, YARR02 \n",
" NaN NaN \n",
" NaN Tariffs : ALL \n",
" NaN NaN \n",
"Date Machine Description NaN NaN \n",
"2012-12-01 06:38:53 YARR01 River Road 1 Yarmouth NaN NaN \n",
"2012-12-01 07:26:12 YARR01 River Road 1 Yarmouth NaN NaN \n",
"2012-12-01 08:22:15 YARR01 River Road 1 Yarmouth NaN NaN \n",
"2012-12-01 08:27:01 YARR01 River Road 1 Yarmouth NaN NaN \n",
"\n",
" Unnamed: 1 \\\n",
"NaN NaN NaN NaN NaN \n",
" NaN NaN \n",
" NaN NaN \n",
" NaN NaN \n",
" NaN NaN \n",
"Date Machine Description NaN Tariff \n",
"2012-12-01 06:38:53 YARR01 River Road 1 Yarmouth NaN 01F \n",
"2012-12-01 07:26:12 YARR01 River Road 1 Yarmouth NaN 01F \n",
"2012-12-01 08:22:15 YARR01 River Road 1 Yarmouth NaN 01F \n",
"2012-12-01 08:27:01 YARR01 River Road 1 Yarmouth NaN 01F \n",
"\n",
" Unnamed: 2 \\\n",
"NaN NaN NaN NaN NaN \n",
" NaN NaN \n",
" NaN NaN \n",
" NaN NaN \n",
" NaN NaN \n",
"Date Machine Description NaN Description \n",
"2012-12-01 06:38:53 YARR01 River Road 1 Yarmouth NaN LS with Cch \u00a36.60 6>24hrs \n",
"2012-12-01 07:26:12 YARR01 River Road 1 Yarmouth NaN LS with Cch \u00a36.60 6>24hrs \n",
"2012-12-01 08:22:15 YARR01 River Road 1 Yarmouth NaN LS with Cch \u00a36.60 6>24hrs \n",
"2012-12-01 08:27:01 YARR01 River Road 1 Yarmouth NaN LS with Cch \u00a36.60 6>24hrs \n",
"\n",
" Unnamed: 3 Unnamed: 4 \\\n",
"NaN NaN NaN NaN NaN NaN \n",
" NaN NaN NaN \n",
" NaN NaN NaN \n",
" NaN NaN NaN \n",
" NaN NaN NaN \n",
"Date Machine Description NaN NaN Cash \n",
"2012-12-01 06:38:53 YARR01 River Road 1 Yarmouth NaN NaN 6.6 \n",
"2012-12-01 07:26:12 YARR01 River Road 1 Yarmouth NaN NaN 6.6 \n",
"2012-12-01 08:22:15 YARR01 River Road 1 Yarmouth NaN NaN 6.6 \n",
"2012-12-01 08:27:01 YARR01 River Road 1 Yarmouth NaN NaN 6.6 \n",
"\n",
" 2014-03-17 15:25:47.526000 \n",
"NaN NaN NaN NaN NaN \n",
" NaN NaN \n",
" NaN NaN \n",
" NaN NaN \n",
" NaN NaN \n",
"Date Machine Description NaN NaN \n",
"2012-12-01 06:38:53 YARR01 River Road 1 Yarmouth NaN NaN \n",
"2012-12-01 07:26:12 YARR01 River Road 1 Yarmouth NaN NaN \n",
"2012-12-01 08:22:15 YARR01 River Road 1 Yarmouth NaN NaN \n",
"2012-12-01 08:27:01 YARR01 River Road 1 Yarmouth NaN NaN "
]
}
],
"prompt_number": 40
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"By inspection, we see that there are six rows before the header row. Let's try loading the data in by skipping those rows."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"df=pd.read_excel(\"data/iw_parkingMeterData/4_5_Transaction Report RR Dec 2012 March 2013.xls\", \\\n",
" skiprows=6)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 41
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"There appear to be some columns that just contain NaN values - let's tidy the dataset a little by dropping those columns."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"df.dropna(how='all',axis=1,inplace=True)\n",
"df[:10]"
],
"language": "python",
"metadata": {},
"outputs": [
{
"html": [
"<div style=\"max-height:1000px;max-width:1500px;overflow:auto;\">\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>Date</th>\n",
" <th>Machine</th>\n",
" <th>Description</th>\n",
" <th>Tariff</th>\n",
" <th>Description.1</th>\n",
" <th>Cash</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>0</th>\n",
" <td> 2012-12-01 06:38:53</td>\n",
" <td> YARR01</td>\n",
" <td> River Road 1 Yarmouth</td>\n",
" <td> 01F</td>\n",
" <td> LS with Cch \u00a36.60 6&gt;24hrs</td>\n",
" <td> 6.6</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1</th>\n",
" <td> 2012-12-01 07:26:12</td>\n",
" <td> YARR01</td>\n",
" <td> River Road 1 Yarmouth</td>\n",
" <td> 01F</td>\n",
" <td> LS with Cch \u00a36.60 6&gt;24hrs</td>\n",
" <td> 6.6</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2</th>\n",
" <td> 2012-12-01 08:22:15</td>\n",
" <td> YARR01</td>\n",
" <td> River Road 1 Yarmouth</td>\n",
" <td> 01F</td>\n",
" <td> LS with Cch \u00a36.60 6&gt;24hrs</td>\n",
" <td> 6.6</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3</th>\n",
" <td> 2012-12-01 08:27:01</td>\n",
" <td> YARR01</td>\n",
" <td> River Road 1 Yarmouth</td>\n",
" <td> 01F</td>\n",
" <td> LS with Cch \u00a36.60 6&gt;24hrs</td>\n",
" <td> 6.6</td>\n",
" </tr>\n",
" <tr>\n",
" <th>4</th>\n",
" <td> 2012-12-01 08:34:11</td>\n",
" <td> YARR01</td>\n",
" <td> River Road 1 Yarmouth</td>\n",
" <td> 01F</td>\n",
" <td> LS with Cch \u00a36.60 6&gt;24hrs</td>\n",
" <td> 6.6</td>\n",
" </tr>\n",
" <tr>\n",
" <th>5</th>\n",
" <td> 2012-12-01 08:37:35</td>\n",
" <td> YARR01</td>\n",
" <td> River Road 1 Yarmouth</td>\n",
" <td> 01F</td>\n",
" <td> LS with Cch \u00a36.60 6&gt;24hrs</td>\n",
" <td> 6.6</td>\n",
" </tr>\n",
" <tr>\n",
" <th>6</th>\n",
" <td> 2012-12-01 08:38:24</td>\n",
" <td> YARR01</td>\n",
" <td> River Road 1 Yarmouth</td>\n",
" <td> 01F</td>\n",
" <td> LS with Cch \u00a36.60 6&gt;24hrs</td>\n",
" <td> 6.6</td>\n",
" </tr>\n",
" <tr>\n",
" <th>7</th>\n",
" <td> 2012-12-01 08:39:06</td>\n",
" <td> YARR01</td>\n",
" <td> River Road 1 Yarmouth</td>\n",
" <td> 01F</td>\n",
" <td> LS with Cch \u00a36.60 6&gt;24hrs</td>\n",
" <td> 6.6</td>\n",
" </tr>\n",
" <tr>\n",
" <th>8</th>\n",
" <td> 2012-12-01 08:45:51</td>\n",
" <td> YARR01</td>\n",
" <td> River Road 1 Yarmouth</td>\n",
" <td> 01B</td>\n",
" <td> LS with Cch \u00a31.00 30m&gt;1hr</td>\n",
" <td> 1.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>9</th>\n",
" <td> 2012-12-01 08:47:50</td>\n",
" <td> YARR01</td>\n",
" <td> River Road 1 Yarmouth</td>\n",
" <td> 01F</td>\n",
" <td> LS with Cch \u00a36.60 6&gt;24hrs</td>\n",
" <td> 6.6</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"metadata": {},
"output_type": "pyout",
"prompt_number": 42,
"text": [
" Date Machine Description Tariff \\\n",
"0 2012-12-01 06:38:53 YARR01 River Road 1 Yarmouth 01F \n",
"1 2012-12-01 07:26:12 YARR01 River Road 1 Yarmouth 01F \n",
"2 2012-12-01 08:22:15 YARR01 River Road 1 Yarmouth 01F \n",
"3 2012-12-01 08:27:01 YARR01 River Road 1 Yarmouth 01F \n",
"4 2012-12-01 08:34:11 YARR01 River Road 1 Yarmouth 01F \n",
"5 2012-12-01 08:37:35 YARR01 River Road 1 Yarmouth 01F \n",
"6 2012-12-01 08:38:24 YARR01 River Road 1 Yarmouth 01F \n",
"7 2012-12-01 08:39:06 YARR01 River Road 1 Yarmouth 01F \n",
"8 2012-12-01 08:45:51 YARR01 River Road 1 Yarmouth 01B \n",
"9 2012-12-01 08:47:50 YARR01 River Road 1 Yarmouth 01F \n",
"\n",
" Description.1 Cash \n",
"0 LS with Cch \u00a36.60 6>24hrs 6.6 \n",
"1 LS with Cch \u00a36.60 6>24hrs 6.6 \n",
"2 LS with Cch \u00a36.60 6>24hrs 6.6 \n",
"3 LS with Cch \u00a36.60 6>24hrs 6.6 \n",
"4 LS with Cch \u00a36.60 6>24hrs 6.6 \n",
"5 LS with Cch \u00a36.60 6>24hrs 6.6 \n",
"6 LS with Cch \u00a36.60 6>24hrs 6.6 \n",
"7 LS with Cch \u00a36.60 6>24hrs 6.6 \n",
"8 LS with Cch \u00a31.00 30m>1hr 1.0 \n",
"9 LS with Cch \u00a36.60 6>24hrs 6.6 "
]
}
],
"prompt_number": 42
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Check to see how the columns are typed\n",
"df.dtypes"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 43,
"text": [
"Date object\n",
"Machine object\n",
"Description object\n",
"Tariff object\n",
"Description.1 object\n",
"Cash float64\n",
"dtype: object"
]
}
],
"prompt_number": 43
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Let's do a little more tidying:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Cast the date column as a date type, specifying how to parse the dates.\n",
"#Set coerce = True to cast any strings that aren't recognised to a NaT value.\n",
"df.Date=pd.to_datetime(df.Date, format=\"%Y-%m-%d %H:%M:%S\",coerce=True)\n",
"#The final row - which originally had a \"Date\" labelled Total was actually a total row\n",
"df[-4:]"
],
"language": "python",
"metadata": {},
"outputs": [
{
"html": [
"<div style=\"max-height:1000px;max-width:1500px;overflow:auto;\">\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>Date</th>\n",
" <th>Machine</th>\n",
" <th>Description</th>\n",
" <th>Tariff</th>\n",
" <th>Description.1</th>\n",
" <th>Cash</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>6201</th>\n",
" <td>2013-03-30 18:24:11</td>\n",
" <td> YARR02</td>\n",
" <td> River Road 2 Yarmouth</td>\n",
" <td> 01B</td>\n",
" <td> LS with Cch \u00a31.00 30m&gt;1hr</td>\n",
" <td> 1.00</td>\n",
" </tr>\n",
" <tr>\n",
" <th>6202</th>\n",
" <td>2013-03-30 20:47:47</td>\n",
" <td> YARR02</td>\n",
" <td> River Road 2 Yarmouth</td>\n",
" <td> 01A</td>\n",
" <td> LS with Cch \u00a30.60 30 Mins</td>\n",
" <td> 0.60</td>\n",
" </tr>\n",
" <tr>\n",
" <th>6203</th>\n",
" <td>2013-03-30 21:58:09</td>\n",
" <td> YARR02</td>\n",
" <td> River Road 2 Yarmouth</td>\n",
" <td> 01C</td>\n",
" <td> LS with Cch \u00a31.90 1-&gt;2hrs</td>\n",
" <td> 2.00</td>\n",
" </tr>\n",
" <tr>\n",
" <th>6204</th>\n",
" <td> NaT</td>\n",
" <td> 6204</td>\n",
" <td> NaN</td>\n",
" <td> 6204</td>\n",
" <td> NaN</td>\n",
" <td> 18385.85</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"metadata": {},
"output_type": "pyout",
"prompt_number": 44,
"text": [
" Date Machine Description Tariff \\\n",
"6201 2013-03-30 18:24:11 YARR02 River Road 2 Yarmouth 01B \n",
"6202 2013-03-30 20:47:47 YARR02 River Road 2 Yarmouth 01A \n",
"6203 2013-03-30 21:58:09 YARR02 River Road 2 Yarmouth 01C \n",
"6204 NaT 6204 NaN 6204 \n",
"\n",
" Description.1 Cash \n",
"6201 LS with Cch \u00a31.00 30m>1hr 1.00 \n",
"6202 LS with Cch \u00a30.60 30 Mins 0.60 \n",
"6203 LS with Cch \u00a31.90 1->2hrs 2.00 \n",
"6204 NaN 18385.85 "
]
}
],
"prompt_number": 44
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Let's see if any other dates weren;t recognised as such\n",
"df[df[\"Date\"].isnull()]"
],
"language": "python",
"metadata": {},
"outputs": [
{
"html": [
"<div style=\"max-height:1000px;max-width:1500px;overflow:auto;\">\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>Date</th>\n",
" <th>Machine</th>\n",
" <th>Description</th>\n",
" <th>Tariff</th>\n",
" <th>Description.1</th>\n",
" <th>Cash</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>6204</th>\n",
" <td>NaT</td>\n",
" <td> 6204</td>\n",
" <td> NaN</td>\n",
" <td> 6204</td>\n",
" <td> NaN</td>\n",
" <td> 18385.85</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"metadata": {},
"output_type": "pyout",
"prompt_number": 45,
"text": [
" Date Machine Description Tariff Description.1 Cash\n",
"6204 NaT 6204 NaN 6204 NaN 18385.85"
]
}
],
"prompt_number": 45
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Let's also just check the total by summing the values (except the total) in the Cash column\n",
"df[['Cash']][:-1].sum()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 46,
"text": [
"Cash 18385.85\n",
"dtype: float64"
]
}
],
"prompt_number": 46
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Let's just check the row count too\n",
"df[['Cash']][:-1].count()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 47,
"text": [
"Cash 6204\n",
"dtype: int64"
]
}
],
"prompt_number": 47
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Drop the final total row\n",
"df.dropna(subset=[\"Date\"],inplace=True)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 48
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Using ggplot"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#The ggplot library is currently under active development\n",
"#Grab the most recent version from the github repository\n",
"#!pip3 uninstall -y ggplot\n",
"#!pip3 install git+https://github.com/yhat/ggplot.git"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 49
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"To get started with ggplot we need to load it in."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"from ggplot import *"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 50
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We call `ggplot` by passing in a dataframe and specifying the aesthetic mappings. We need to make sure we define an appropriate aesthetic mapping for each dimnsion we wish to represent in the final display."
]
},
{
"cell_type": "heading",
"level": 3,
"metadata": {},
"source": [
"geom_point()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We use `geom_point()` to generate a scatterplot. `geom_point()` requires at least *x* and *y* value mappings. In the `aes()` definition, assign the *x* and *y* coordinate axes to the (quoted) column names you wish to plot from the specified dataset."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"ggplot(df, aes(x=\"Date\",y=\"Cash\"))+geom_point()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
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5VwbzXr6KFJ28vE5EREREsmPRSURERESyY9FJRERERLJj0UlEREREsmPRSURERESyY9FJ\nRERERLJj0UlEREREsmPRSURERESyY9FJRERERLJj0UlEREREsmPRSURERESyY9FJRERERLJj0UlE\nREREsmPRSURERESyY9FJRERERLJj0UlEREREsmPRSURERESyY9FJRERERLJj0UlEREREsmPRSURE\nRESyY9FJRERERLJj0UlEREREstMqHUCx2NhYnDhxAiqVCp6enhg4cCC02hoTHhERERE9gBpxpjM9\nPR2HDx/G2LFj8eqrr0IQBJw6dUrpsIiIHgoXLlzAiy++iFGjRmHHjh1Kh0OPsMLCQnz22WcYMWIE\n3nvvPeTm5iodElWjGnEqUa/XQ6PRwGKxQKVSwWKxoE6dOkqHRURU66WkpGDUqFGIj48HABw7dgwL\nFixAx44dFY6MHkVTpkzBqlWrYLFYAAAJCQn48ccfFY6KqkuNKDodHR3RoUMHzJ49G1qtFo0aNUJQ\nUBAyMjJw9+5dybT5+fkwmUyyxVJ8Sb+2XtrXaDTQ6XRKh1FhzLsyanPemXP7bN26VSw4ASAtLQ0/\n//wzunbtWqnlMe/KeFjyfvToUbHgBICLFy+isLAQer1ekfjK87DkvaaoEdHcunUL+/fvx4QJE6DX\n67FmzRqcOHECN2/exK5duyTTdu3aFd27d5c9JhcXF9nXQbaYd2Uw79WvunLeqFEj6HQ6yYG+fv36\n8PDwqJb11zRs68oozrujo6NkvNFoRP369aFW14i7/R46Na2914ii89q1a/D19RUbY9OmTZGYmIjH\nH38cwcHBkmnz8/ORlpYmWyxarRYuLi5IT0+H1WqVbT1y0ev1yMvLUzqMCmPelVGb886c26dz587o\n0aMHdu/eDavVitDQULz55puV3o8y78p4WPI+ceJEvPPOO0hKSoKnpydeeOEF3Lx5U+kw7+thybuc\nKvIDtkYUne7u7ti1axcsFgu0Wi0uX74MHx8fmM1mmM1mybTXrl2T/GKXi9VqrZb1VDWtVlsr4y7G\nvCujNuadObff0qVLcfz4ceTl5SE8PBx6vb7S62belfGw5L1Lly7YsGEDzp8/j4CAAPj6+tboz/Ww\n5L2mqBFFp5eXF8LCwrB48WKoVCp4e3sjIiJC6bCIiB4KKpUK4eHhSodBBADw9PSEp6en0mGQAmpE\n0QkUXQLq3Lmz0mEQERERkQx45y4RERERyY5FJxERERHJjkUnEREREcmuxtzTWdvl5uZi/vz5SElJ\nwbBhw9C6dWulQyKiKpadnY25c+ciPT0do0aNQrNmzZQOiYio1mDRWQWsViuee+45HDhwAACwbds2\nzJ49G926dVM2MCKqMnl5eXj22Wdx9OhRAMCOHTuwaNEi9rRBRGQnXl6vAqdPn8bx48fF4dTUVCxd\nulTBiIioqu3bt0+ynScnJ2PhwoUKRkREVLuw6KwCGo3G5hVefKUXUc22du1aPPfccxgxYgTOnDlT\n7vTczulREB0djeeeew7PP/88Lly4oHQ49JDh5fUq0KxZM7Rv3x67du1CQUEBfHx88MYbbygdFhHd\nxx9//IHp06cjPT0dAPDXX39h/fr1ZXZY3aFDB7Rt2xb79+9HYWEh/Pz88NZbb1VXyESyi4mJwUcf\nfYQ7d+4AAC5duoQNGzbA1dVV4cjoYcGiswqo1WqsWLECq1evRnJyMgYOHIiGDRsqHRYR3UdMTIxY\ncAJAQkICduzYgaFDh953Hq1Wi+joaKxcuRI3b97Es88+Cx8fn+oIl6habNq0SSw4AeDvv//G/v37\n0adPHwWjoocJi84qotFoMGzYMKXDICI7uLm5SYYNBgPq169f7nw6nQ4jR46UKywiRdWtW1cy7Ojo\nCC8vL4WioYcRb0giokfOe++9h4iICDg6OsLZ2Rl9+vTB448/rnRYRIr64IMPEBYWBkdHR7i4uGDA\ngAHs/o+qFM90EtEjx2QyYd26dTh//jyMRiOCgoKUDolIcXXr1kVMTAwuXLgAk8mEwMBApUOihwyL\nTiJ6JOl0OoSGhiodBlGN4uDgwO2CZMPL60REREQkOxadRERERCQ7Fp1EREREJDsWnUREREQkOxad\nRERERCQ7Fp1EREREJDsWnUREREQkOxadVWTRokWIiorC0KFDceLECcnfTp48iaFDh6J3797o3Lkz\noqKisHz5csybNw9NmzZF06ZN8c477yAnJwcTJkzAoEGD8OqrryIzM9Oude/YsQONGjWCr68vAgMD\ncenSpXLnycvLQ//+/RESEoKwsDDs3r0b+/fvx7PPPouoqCj89NNPNvMUFhbirbfeQrNmzdC8eXNM\nmzYNBQUFmDRpEoKCguDn54eIiAgcP35cMp/FYsGUKVMwaNAgvPjii7h48SIGDRqEpk2bonXr1liy\nZAmys7Px/PPPo3///hg/fjyysrJs1r9gwQI0bdoUQUFBCA8Px7PPPot3330XkZGRGDp0KM6cOYP8\n/Hz069cPISEhaNmyJfbs2QMAsFqt+Pe//41BgwbhhRdewI0bN+zKbUVYrVZ88MEHiIyMxOjRo5Ga\nmorY2FgMHjwYgwcPxurVq+1azsmTJzFs2DBERUVh0aJFpU7z+++/i8vdtGkTsrOz0aNHD4SEhKBV\nq1a4ePFilX2uFStWICoqCs8++ywOHjxo1zyJiYkYMWIEIiMj8fHHH6OwsLDK4qkKgiBgzpw5iIyM\nxHPPPYcLFy5U2bJXrVqFqKgoDB48GHFxcVW23PT0dAQEBMDHxwc+Pj6YOHGiXfOV91lzcnLwxhtv\nYNCgQeK2d+fOHQwdOhRNmzZFq1atMH/+fPznP/9Bs2bNEBgYiHfffReCINjEN2bMGAwaNAiTJ09G\nfn6+TSyXLl3CP//5T0RFRWHWrFkQBMEmvnXr1on7oe+++w43btxAu3bt0KBBAzRo0AARERHYvXs3\nJk+ejEGDBuGll17CrVu3bNrc5s2bxW1k8+bNSEtLQ6NGjRAUFIR27dohOTkZBw8eRMuWLRESEoK+\nffvCarVW/gu6x6pVq9CrVy80a9YMPXv2xHfffYcZM2YgMjISzz//PJKTk6tkPaWxWq2YOnWquB9K\nS0uza76zZ89i2LBhiIyMxPz580udJjs7G6+//joGDRqE119/HdnZ2TbTLF68WDwWHj9+HCkpKejf\nvz8GDBiAadOmwWq14rPPPkNoaCiaNm2KsWPHltpWUlNTERERAT8/PwQGBmLWrFkVSwSK2v64ceMQ\nEhKCZs2aYdmyZXbNM3PmTISGhqJZs2YYO3asXe3i2rVr6NmzJwIDAxEYGIjevXvj008/FXNx9OhR\nu+M+duwYhgwZgqioKCxdutTu+WoDlVByz1HDXbt2Tdbl63Q6eHh4IC0tDRaLxa55oqOj8eGHH4pF\nor+/PzZs2AB3d3fcvHkT/fv3x5UrVyTzGAwG5OXliTtulUqFxo0bSw4IXbp0wcqVK8tc99WrV9G+\nfXvJQd1gMODs2bNwcHC473z9+vXDkSNHJJ/bzc0N169fBwA4Ozvj888/R58+fcRppk+fjiVLlojD\nKpUK4eHhNhuT2WxGXFyc+H7rt956C6tXrxZjNBqNyMnJkaw7ODgYp06dEsd169ZNUvju3LkTI0eO\nLLN4CQwMRJ06dSRFv16vx8GDB/HZZ59h5cqVKCgoAACEhYVh8+bNUKlU911eRRiNRkyYMAHR0dHi\nDqpJkybIzMwUDzCurq6YO3cuevTocd/l3Lx5E/369UN8fDwAwMnJCVOnTsXw4cPFaY4dOyYWtQDg\n4eEBrVYrOZA5Ojri3Llz0Gg0ZcZdXnuPiYnBe++9hzt37gAAGjRogF9//bXM95Tn5uaib9++OHv2\nLICizqZffvllTJkypcxYKqpkO6qIRYsW4YsvvhAPmkFBQdi0aRPMZvMDxbRt2zZMmDAB6enpAABv\nb2+sXr0aDRs2FKepzD4GKNqvlDz4zZs3D5GRkWXOt3DhQnz55ZfiZ23UqBE2btwoftZRo0bhf//7\nnzh99+7dkZGRgcOHD4vjVCqVTZH5xhtv4J133hGHBw4cKP4oUalUiIyMxNy5c8W/Z2Zmom/fvvjr\nr78AFH1/b775JjQajSQ+rVYrfs7id4EXt79i904DAK1bt0ZOTo7Y5nQ6HbRardg+PDw8YLFYcPv2\nbXGeunXrIjc3F3l5eZLlbNy4scx8lmfbtm14/fXXJTHrdDoUFhaK+5/Q0FBs3rwZWq3972ext71P\nmTJFsh8KCwvDpk2boFbf/xxTeno6+vfvj8uXLwMoemPX5MmT8cILL0imGzlyJLZv3y4O/+Mf/8D3\n338vDkdHR2PGjBm4e/cuAMDPzw9OTk44c+YMgKLvrVWrVjh8+LBkXz5gwAAsWLBAHC4sLER4eDhu\n3rwpWf/cuXMRFRVVbg6Kvf/++1ixYoU4rNFosGrVKnTo0OG+83zzzTeYOXOmpL0PGzYMX3zxxX3n\nyc/PR/fu3W2O8/fy8/NDTEwM6tWrV2bMqampGDBgABISEgAUHU9nzJiBZ599tsz5SqrsfqYyyjoe\nlMQznVVg+/btkrOS8fHx4s734MGDpTbE3NxcSaMWBEHc4ItduXKl3DNE27dvt5kmNzcXiYmJZc5X\n8kyYxWIRC04AuH37NjZt2iSZZt++fZJhQRBw7tw5m2VnZGTg0KFD4vCZM2ckMZbccVosFvz999+S\ncSVztnTp0nJz8ffff9t8rry8POzZswenT58Wd/hA0Y+Xkju0B3X69GnJgTApKUlSCN66dQvr168v\ncxkHDx4UC04AuHv3Lnbs2CGZZv369WLBCQBpaWmSYaCoDdy7nMr6/fffJQfPpKQk7N69u8x54uPj\nkZSUJA7n5+dLCpiaIDY2VnKW5sqVK+KB8UGsX79eLDgBIDk5WVLQVVZhYWGpZ1sWL15c7rxxcXGS\nz/r3339LttuS+53Lly/bbI+lnZu4t/jIysqSfOel7RvOnz8v2a5zcnKwd+9em/ju/Zx37tyxKThL\nTgMACQkJ4kEaKNqn3LufSUtLs1lORkaGpOAEIBbED2LDhg0267JYLJL9z9WrV2U723nq1ClJfq5d\nu1bu2c6TJ09KvvOsrCzs2rXLZrrS2sq9tm/fLhacQNH3cu+xyGq14vz58zb78pJXB2/evCnZjor9\n+uuvZX6OkkpuewUFBfjxxx/LnGfHjh027b28/VdSUhKuXr1a5jQJCQk2x9DS7N27V9KWMzIyqmQf\nUlPUutdg6vX6Mn+xPSiVSoXs7Gzxl7I9Sv5yqVOnDho1agSj0YjGjRvDbDYjIyOj3OUYDAbJBmsy\nmWAymcqcp2nTpjbj1Go1fHx8YDQa7zuf0Wi0uXzv4OAgXuZQqVTw9/eXLMPFxcVmOY6OjjZFpEaj\nET8/UHS2rmR8JXc6BoNBckndZDJJ1h0aGoqdO3fe9/MARWdnVSqVJB6VSoWmTZvaxGAymeDp6Qm9\nXl/mMu2lVqtt1uHo6IiCggLxwKZWq9GwYcMyv5fS2ku9evUk8zRp0gQ6nU789arVaqHVaiUHNbVa\nDT8/vzLXBZTf3n18fGw+U3BwcJnL9fHxQZ06dSTtq27duuXGUlFqtbrSy3R3d5cMOzs725Wv8gQE\nBEjOChoMBjRp0kSy3MrsY+6nefPm5cZcfMWhmIuLC3x9fcX5HB0dJX83mUwQBAG3bt0qc7n3tku9\nXm8Th5OTk2Scn58fXFxcJAWQq6truftzjUYjadulMZlM0Ol0kn3Ivd+DRqOBWq2WnPEp3mZKXiV6\n0DZgz/vKnZyc4OXlVaF1qdVqGAwGTJgwAXv37oVGo8GIESPw2muv2Sz7Xo6Ojjb7kJICAgJQt25d\nyZlgDw8Pm3lKHo9K7qdLHgudnJxgMpkk+wKDwWBzPDSbzZLleHp6QqvV2lx2DwgIqFDOPDw8bIrB\n0NDQMpdR2pnI8vZfxcfbss4omkwmNG7cuNz4GzduDCcnJ0kt4O3tXeF2WZX7maqkmT59+nSlg6iI\n27dvw2q1yvYPKDoAZWZmIi8vz6552rVrh/379yM7OxtmsxmDBg1CVFQUrFYrXF1dkZaWhqSkJOTn\n50OtVqNOnToICwsDUHQmS6VSwdXVFV9//TWOHTuGgoICeHt74/333xcvqd3vX/369REXFyfZsP75\nz3/iqaeZFZnlAAAgAElEQVSeKnO+sLAwbNiwAVarFWq1Gp07d0bbtm2RmpoKBwcHRERE4NNPPwUA\ncZ4OHTrg119/RU5ODlQqFby9vbFixQps2bJFPFOhUqkwZMgQDB06VJyvRYsW2L9/PywWCzw9PdG7\nd29cuXJFXHeLFi0wc+ZMnDx5UvxMU6dOha+vr7iMjh07Yu3atZKdlYuLCxwdHeHg4ABnZ2cMHjwY\nb731FtavXy8uu2vXrhgzZgzCwsKwb98+WCwWeHh4YPz48WjRokWVtRutVovQ0FDs3bsXVqsVHh4e\neOONN2AymZCWlga9Xo/HHntMvGxzv+Xc216K3w0+Z84cqNVqcZrmzZvj1KlTuHXrFoxGIzp16oSJ\nEydi69atKCgogEajQVRUVLltwJ723rZtW/z555+4e/cu6tSpg379+mHEiBFlLtPBwQFWqxWXLl2C\nWq1Go0aNMG/ePBiNxirdVosvn1Zm3nbt2mHPnj3Izc2Fi4sLhg4dale+yvvXpk0bHD58GJmZmXBy\nckKvXr3wyiuvVCjnZX1X954pcXBwwIYNG8SzoPf71759e8lnHTJkiOSzBgQEiJc769evj2nTpqF9\n+/bYtWsXLBaL+B3qdDpkZ2dDpVLB3d0dP//8M3Q6HaxWKwoKCuDs7IzTp09DEAT4+fnh888/h6ur\nq7ie4uLjypUr0Gg0CAkJwVdffYVu3bph3759yMnJgbOzMwICAsTP17p1a4waNUpydl2lUqFbt27i\nJXZPT0+8/fbbaNKkiaTNNW3aFJmZmTAajejcuTOGDBmCffv2obCwEFqtFuPHj4fBYEBCQgIEQYBe\nr8fPP/8MNze3B2oDEREROHz4MK5fv47CwkI4ODigZcuWqFu3LqxWK9zd3TF27Fi0adOmwu199uzZ\nWLJkCdLS0nDz5k0cP34c7dq1k8TcqlUr7N27V9zXvfbaawgLCytz2cUFZ0JCArRaLZo3b465c+dC\no9FIpvPz88ORI0fEtjJ9+nT4+PhItquSx8J+/fqJt40FBARg4cKFiIuLQ0ZGBlQqFVxcXLB48WK4\nuLhI2rpWqxXvyQcgHm/uPSaV9693796Ijo5GXl4eVCoVGjZsiPnz56OgoOC+83To0AHr168Xj81u\nbm5YtmwZ6tSpU+Z3o9VqsX//fvEHkoODg1g8m81mDBgwAMOGDSs3Zk9PTyQnJyM5ORk6nQ4tW7bE\n7NmzoVKpKtReKrufqcy/OnXq2F3D8Z7OEip7H0RBQQESEhLEM2glpaamIisrC3q9Hvn5+fDz84Na\nrcaRI0eQl5eHdu3aQa1WIycnB1evXoWXl5fNL9aynDt3DseOHUPPnj1tzmzcz927d3H48GE0aNAA\nQUFBAIouB+bn58PX17fUMxD5+fk4efIk1Go1QkNDodPpkJ+fj+PHjyM1NRXh4eE2Z8eAosu9SUlJ\n8PT0hNlsxp07d3Du3Dk4OzujUaNGMBgMcHR0xPHjx+Hh4VHqGV5BEHDs2DFkZ2eLv/w8PDyQmJgI\nJycneHh4iJ/r0KFD8PX1FT/XvTF4eHiI94pVleL7rfLy8pCYmAh3d3c4OzsDKGqzFosFfn5+dt9D\nWtxe/Pz8Sr0vUxAE8YeGj48PVCoV7ty5g0OHDiE4OBgNGjSwaz32tPfCwkIkJCTAYDDAy8vLruUC\nRbcTpKenw9fXt8z7iyvrQe7pBIoOXAkJCTCbzTZnPh9EYWEhEhMTodPpSr3X6UHutUpKSsLy5csR\nGhqKgQMH2t2eyvus2dnZuHbtGry9vcVtLzMzE2fOnIHZbEaTJk0AFF0G1Wq1CAkJgU6ns1lORkYG\nUlNTy7zScvPmTdy5cwd+fn7iGZiS8V2/fh25ubnifvLGjRuIjY2FSqVCREQEfH19xX1l8T4FkLY5\nnU4n2UYcHBwgCAK2b9+OkJAQ8YzW5cuXkZCQgDZt2lRon1sWQRCQkJCA27dvw9nZGb6+vrBYLEhM\nTISbm1upV43KYzQaMWrUKGzYsEEy/qOPPsLo0aMl40rbD9kjLS0NmZmZku+mpNLayr1KHguLz7Sd\nO3cOXl5e0Ov1sFqt4oOfZZ2tT0tLQ2xsLHx9fREREVGpq5wWiwV//vknzGYzQkND7dpmrFYrTp8+\nDYvFgrZt29r9IOStW7dw4sQJqNVqNGvWDC4uLkhMTITRaCz3Xs6SUlJSkJOTA19f33LvzS9NTb2n\nk0VnCdX5RcnhQQ/ESmHelVGb886cK4N5V4bRaMTcuXPxySefiLfsuLq64ueff0bz5s0Vju7+Hoa8\ns72XrSJFZ8250E9ERET3NWbMGFy+fBn79u2DRqPB8OHDa3TBSVRSrbun096+KytLo9HAZDIhOzv7\ngfoWLCgowK+//ordu3ejfv36pd7zkJ2djZUrV+LIkSMICgqCXq/H0aNHsW7dOlitVvj6+tq9vtjY\nWGzcuBEmkwnu7u6Ij4/HypUrce3aNTRp0gTXr1/HTz/9hPj4eAQHB0OtVmPbtm344IMPcOHCBXTs\n2NGuyw7nz5/HqlWrkJGRgcDAwCrrcignJwcrV67EgQMH0KhRI7svx9qT5+pQfG9baTIzMxEdHY2T\nJ0+icePGpV6WrC4XL17Ezz//jPT0dAQFBcFqtWL16tXYtWuXzYNjFXHr1i28++67+OWXX9CiRYtK\nXT6sqLJyXpPcunULU6ZMwdq1axESEgJPT89K7WMKCwuxYcMG7Ny5E97e3pXu3uns2bNYtWoVMjMz\nxa6cUlNT8eOPP+Ly5cvi/uF+5M57Xl4ePv30U3z77bcwm81o2LAhrFYr1q5di7i4OPj5+ZX7gGVp\nBEHAL7/8gm3btqFBgwZlLmP79u347bffUKdOHfG2nYqoym0+OTkZ0dHRiI+PR+PGjdGrVy+MHj0a\nzz//PFq1alXqPHfv3kV0dDSOHz8urn/Lli3YsmULXF1d4erqajNPyfal0+nw888/4/DhwwgMDITB\nYLAr3itXriA6OhopKSlo3LgxBEFATEwMtm7dCh8fHzg5OeHq1auIjo5GQkICmjRpArVajTNnzmDV\nqlXIysqy62EsoOjS+Zo1a7Bnzx4EBATYPBRXFe7X3lNSUvDTTz/Ztc0ooapqGXvwns4HUBWnpAsL\nCzFy5EjExsbCarXC398fy5cvR3BwsDhNVlYWBg8eLHak3rRpUwwaNAjffPMNbt26BbPZjBdeeAGT\nJk0qd30ff/wxvv/+e2RmZsLd3R1DhgzB+vXrxYdR2rdvj4SEBMTHx0Oj0eDxxx9H69atMWfOHLEx\nBgQESG7aLs0ff/yB9957DykpKXB0dMQzzzyDzz77rFI5uldGRgaeffZZnDx5EgDQokULrFmzptyG\nXFhYiBEjRiA2NhYFBQXw8/PDd999J95/Vp3uvQRTWFgIlUoFlUqF27dvY/DgwWJ3PGFhYVizZk2l\nDpoPaseOHZg0aRKuX78Oo9GIPn36IDExEQcPHoQgCGjcuDFWrVpV4XuPbty4gY4dO4pPDjs4OGDj\nxo0IDQ2V42OIasNlrxs3bqBTp07ik6gODg5Ys2YN+vfvX6F9jCAIePHFF7Fjxw5YLBY0aNAAixYt\nQnh4eIXi2bRpE6ZOnYrU1FQ4OjoiKioKL7/8MoYPHy4+4NOxY0f89NNP972PTM685+XloUuXLmL3\nS2q1Gq+99hqOHj2Kffv2oaCgAIGBgfjxxx/FB47sUVBQgOHDh2PPnj0oKChAQEAAfvrpp1KXMXny\nZKxbtw7Z2dnw9PTEzJkzJf0Vl+fOnTuIiooSt/kWLVpg3bp1ldrm//rrL4wcOVLcd3fu3Bk//vhj\nmQVORkYGoqKicPr0aXH9DRs2xJYtW5Cbmwtvb2988cUX6NatmzhPyfbl4+MDk8kkPgAUHByMNWvW\nlPu8wJ9//onx48fj6tWrcHBwQM+ePZGVlSXuowMCAjBt2jRMmzZNfGipa9euGDRoEGbMmCG2yyFD\nhuCjjz4qc10WiwXDhg3DgQMHUFhYiKCgIERHR9t9P7u9Smvvly5dwsiRI+3eZpRQUy+v80xnCVXx\n6+DIkSOYNWuW+EXfuXMHqamp6N+/vzjNsmXLJG+ouXHjBs6cOSN2U5KXl4fr16/jhRdeKPNsYkFB\nASZPnix2Q5KdnY2zZ8+Kb9wpLCzEtWvXxD7PBEHAtWvXcOTIEUl3FHfu3EGfPn3KfKBi0qRJ4k7I\nYrEgNTUVQ4YMsfsX8P3MmzdPcnN8amoqDAZDmR34AkV9p82aNUv8FXrnzh2kpKRgwIABDxRPZeh0\nOuTm5mLcuHH45JNPxA6Td+zYgd9++02cLiUlBWazGY899li1x/j222+LfSdarVYkJSXhypUrYrcy\nt27dwp07d9C7d+8KLXfixImSjv0LCgpw5MgRjBw5suqCL0VtONP59ttviz+mgKLcHDt2DOPHj6/Q\nPub8+fP47LPPkJubC6CosEhJScEzzzxToXgmTZok9mVbvA1fvHhR7Fe3eP/w2GOPwd/fv9RlyJn3\njRs34ueffxaHBUHAqVOnEB8fLz4VfPv2bdy8eRNPP/203cuNi4vDvHnzJMu4ceMG+vbtK5kuIyMD\n06ZNE/eXWVlZuH79OoYOHWr3umbPno3NmzeLw6mpqXByckLbtm3tXkaxyZMni30+C4KA5ORkdOrU\nqdSHNYvNmzdP0sF9amoqEhMTxcLp7t27uH79uqSz8ZLtKzMzU9KP8c2bN5GTk4N//OMfZcb79ttv\ni/uCgoICXLt2DX///bck7/v37xdPHhUWFiI5ORkXLlwQ+xUubpcjRowo8wzxtm3b8M0334jbUHp6\nOm7dulWhHwj2KK29T5kyBX/++SeA//+9tG/fvkJXJ+VWU890Qqhlrl69Kuu/1NRUQRAEITU1tULz\nASjzX69evYThw4cLer1ecHR0FKKiomym0Wg0kmEHBwehY8eOglqtFgAIzs7OwsmTJwUvLy/JNOWt\nu7R/er3eZpyHh4dk+KeffpIMBwcH28zz+eef24wbN26coFKpBABCYGCg8P3334vDOp1O2Llzp2R6\nZ2dnm2W8+OKLQtOmTQUAgkqlEl555RVh2bJlglarFXPVokULm/natGkj6HQ6AYDg6OgoHDt2TFi+\nfLng5+cn+Pj4CB9//LFw9epVYfPmzUJYWJjg7e0tREZGCmPHjhW8vLyEhg0bCnv37hVmz54tLtNo\nNApffvml4OnpKY4LCwsTXn75ZTH/Tk5OwlNPPSWJRafTCe3bt7eJsX79+oLJZBLc3NyEiRMnCnXr\n1hX/9vjjjwuDBw8Wh1UqlbB//36bfE2bNk0ybsWKFcJPP/0kPP3008LgwYOFEydOCL179xb/HhAQ\nILRs2dKmfZUW273D77//vmQ+g8EgBAcHCy4uLoJKpRKcnJyEbt262SzHZDIJTk5Ogl6vF/r06SPE\nx8cLbm5u4t/ffPNN4d///rdkns2bN4vfHQAhIiKi1G1t6dKlwlNPPSU0a9ZMeOKJJ4QpU6YIDRs2\nFPR6vVC/fn1h586dgslkEr+DTZs2CV988YXg7u4uGI1GoXXr1sKuXbvE7QqA8MMPP0i+X0dHR+Gp\np54SnnvuOaFLly6CWq0WVCqVJGcODg7CunXrhD59+gheXl5CeHi4cOjQIaF79+6CWq0WtFqtEBgY\naJObwMBAwdvbW/IdOzo6ituIl5eXcPLkSaFHjx6CRqMRVCqVYDabxbZ/73Lc3d3F4YYNG0q2UY1G\nIxw5ckRwcXERh319fW3iadeunc24kJAQMT9OTk5Cs2bNJH/v3LmzcODAAcn3FRQUJJnmjz/+EBo0\naCDZjho2bCiZpk+fPoLBYJBsVyVjuXcdxf9CQ0Ml4wMCAiR/79u3r/D444/bzHfvP5VKJbRp00Yc\ndnNzE/773/+K38O929u9w6NGjRJ69uwp6PV6wWw2CytXrhSefvpp8e/3bs/F/9544w3h9ddfFxwd\nHQVHR0fhjTfeEA4cOCCJ5fjx48Lnn38uODo6CgaDQXjppZfEfeC9/+7N15o1a4SoqCgx5ubNmwsj\nRoywmefetg5AaN26tWR43LhxNu2r5L+wsDBh6dKlkmW+99574vdgMpmEevXqlbkMAGJ7vPezl2yX\nXl5ewpQpU8TP5e/vL5w4cUIIDw8X3NzcBC8vL6FVq1Y2y763nXp5eQmXL1+W/L1jx47C119/LW5X\njz/+uLB161bJNFqtVrIfVKlUwubNm4Xw8HBBr9cLrq6uQpcuXWzWvXDhQsk+pG7dupLvaurUqUJs\nbKxgNBoFlUoleHp6CufPnxfGjh0raDQaQa1WC/379xdmzpwpWa6Tk5OwYMGCaqtlKvOvInh5vYTK\nnJIODAws9d2xxerVq4fmzZvbvFmG5Fd8mbv4l55arcbLL7+M6Ojo+3bYX/IVe7XFvR2y17RLz6W9\nRtEeJV8Fu3HjRrz33nvldlxeVeuvqNJefEBUt27dUt+sRKUrbXutrm24Otnz4gOg6LN/+eWXGDJk\niN3LrqmX12vWna+11P0KTp1Oh6ioKCxatAh79+6t5qgIAARBkBQBhYWFWLlyZZlviKqNBScgvfWk\nJhWcACp9sCj5ys01a9ZUuOB8kPVXFAtOKg0LzoopbXt92ApOAHYVnADEh7EeBuwySUZ16tTB3Llz\nAaBG3WD8qFPy6XGqmJL3M/O7I6JH0cOy7+OZzipwv1PeixcvFv//ww8/rK5wHlqV6ZLC1dVV0rWM\n0WjEwoULJW8qKlnYVPTp7WL2vN/2QR+6Kktx9zcODg4ICQmRbT0l2XMTeXFsFbVkyRLJ8NSpUyXf\nHVB+3jUaTaW7UimvSzCtVitpl/a0ndK6q6nMNPaoqi7NSqPX62VZrpwxl6cyJwfsmeeZZ56RtJPS\nPqNara6SkxOVfdtaVbyfW6VSlbs/0Ol0ks+v0WhsPnevXr1s5qvM5yotz1XRvkrr0s+eNz+V7JLO\n3gePnJyc8P7779sXXA3HorMKPP/88zbjIiIiJE9fF7+b/F5PPPEEfH19YTAY0Lp1a/zwww9YvHgx\nQkJC0KdPH3z66ac2DTksLAxz586F2WyG2WxG3759sXTpUsk0SUlJ2LdvH9q2bYs2bdpg3759+PPP\nP8VuMAYPHmwTS6dOnRAdHS0OP/3000hMTERQUBBUKhWaNGmChIQExMXFoU6dOlCr1XjyySdx8uRJ\nSV9x4eHhOHnyJNq0aQMfHx8sWLAAly5dQteuXeHi4oJhw4YhPj4eL774IoCiHc66devQqFEjSTw+\nPj5YsmQJAgICEB4ejn379uHcuXMYOHAgfH190bVrVyxduhTffPMNHB0dYTAYMHHiRCQmJiIqKgre\n3t545ZVXcPLkSRw4cACTJk3Ca6+9hj179qBDhw7YsmULPv/8c4wdOxYxMTGIjY3FCy+8gBkzZuDQ\noUM4d+4c2rdvDw8PD4wcORJHjx7F559/jrp168Lb2xvLli1DXFwcnn76aTRu3BgvvfQSTpw4gQ0b\nNqBRo0YICQnB1q1bbboNqlu3LubPn48BAwbg1VdfRWxsLD744AOYzWb4+PggJiYGhw4dEovTvn37\n4urVq+J3ptFoMHbsWJudV4cOHbBp0yYsXLgQ33//PbZt24bffvsNgYGB8PLywtdff43ExET07t0b\nOp0OTZo0wV9//YUDBw6IRXm7du2we/du8TWuzs7OOHnyJL777jsEBQUhKCgI/fv3x+zZszF16lQ0\nbtwY48ePx7lz57Bt2zYEBwcjICAAb775JmJiYjBq1Ch0794dGzduRGxsLD7++GO4ubkhJCQER44c\nwZkzZ1C/fn1oNBp069YN8fHxmDRpEtRqNfR6PTZu3IinnnpK8jkDAgIQExODBQsWYM6cOZg3bx7i\n4uLwxRdfoGvXrpg+fToSExMxfvx41K9fH5GRkbh48SLi4uLwr3/9C0899RS+/fZbJCUlISoqCiaT\nCS1btkR8fDy++eYbaDQaaLVa/Pvf/8a8efOwZcsWzJ8/H7169UJISAhee+011KtXDwaDASNHjsTZ\ns2exbt06jB49Gl999RUOHTqEX375BREREejWrRv279+Po0ePok2bNvD398f8+fNx7tw5LF++HGaz\nGXXr1kV4eDheeeUVdO7cGb6+vvj4449x8uRJrFq1Ct26dUPTpk0xadIk9OzZ02a7HT16NHQ6HYxG\nI7777jusW7dOPKiOHj0aiYmJmDx5Mvz8/PDEE0/gxIkT+Prrr6FWq6FWq/HJJ58gMTER7du3h0ql\nQr169RAfH481a9YgPDwcbdq0QVRUFObOnYuuXbuK692/fz8uXbqE4cOHw9nZGU2aNMHChQvF7Tg4\nOBhJSUmYP38+PDw84OXlhQEDBuCbb75Bo0aNoFar4e/vj5iYGLz77rvQarVwcnLCnj17cPnyZfTr\n1w/169fH66+/jqSkJPzrX/8S192yZUucOXMGI0eOhJubG4KDg/HZZ59h4MCBAIp+2G3cuNGmSAkK\nCsKwYcPE4TFjxmDt2rVo2rQpfHx8MGHCBBw+fBgfffQR9Ho9dDodxo0bhxMnTohFhqurK/bt24f1\n69fjH//4B0aPHo2zZ8/if//7H/z8/FCvXj18++23OH/+PHr16oXmzZsjOjoa8+fPR2xsLAYOHIiB\nAwdi7969SEpKQvfu3WEwGNC7d28kJibi2LFjGDx4MJ588knExsYiPj5eLO47depk0y+nu7s71qxZ\ng7CwMAQFBWHFihU4ffo0Zs+ejVGjRmH58uX46quvsGHDBjzxxBNo3rw5Vq9ejatXr4o9aBiNRly6\ndAlHjhzBiBEj0K1bN/Tv3x+TJ0/G1q1bER4ejg4dOuD48eO4cOEC2rVrBycnJ3Tv3h2nT5/GwIED\n0bhxY4wZMwZr1qzBoUOHsHjxYkyePBkLFizAhQsX8NZbb8Hb2xtDhw7FlStXsGvXLvTr1w+RkZE4\ncOAArly5gsjISISEhGD+/PlYvnw5Tpw4gcceewx+fn6YM2cOzpw5g0WLFmH48OF4//33sWTJErFX\nAScnJ8TFxeHUqVNo1KgRXF1dMXv2bCQlJeGf//wngKIfSVu2bMH58+fRvXt3hIaGYsmSJTY9tjg5\nOeHbb7+Fs7Mz1Go1evbsifj4eKxYsQJdunTBm2++icuXLyMmJgYBAQHw9vbGggULcPr0afz3v/+F\nj48PWrZsiWHDhuGNN96An58fWrZsiZMnT+LChQsYPXo0QkJCMGPGDOzfvx979+5Fx44d8dhjj+GP\nP/6QdGVVbP78+ZIuF2szPkhUQmVuvr1+/TqefvppXL9+XRw3YMAALFiwQByOi4vDCy+8IPZlqFar\nMX78eLz77rv3Xa7VakW3bt3w999/i+M6deok6WqpJHseIDl79iwiIyMl9xk9//zz+Pjjj8ucT04D\nBgwQu20BgCZNmmDnzp2KxVNR98t7VFQU9u3bJw43bNgQ//d///dAZzTS0tLw1FNPITk5WRzXr18/\nLFy4sMLLqs2vqKtpD0vZq7I5nzJlitgVF1D0o+CXX36p9oNRbch7Tk4OevTogYSEBHFc9+7dsWPH\njlrZ1oGivA8YMACxsbHiuICAAOzcudPul2kooSbvY3Jzc9GjRw+xuyYA6Nq1q+QETHW39wkTJmDN\nmjXisIeHBzZs2AA/P78KLaemPkjEfjpLqEzfVk5OTgCKOowtvrQ5f/58ydkoPz8/pKSkiB2rt23b\nFp988kmZxYdarYaHhwdOnToFrVaLgIAAzJs3r8y3vdjTh56HhwcyMzORlJQEg8GA8PBwzJkzR9F7\nRiIiInDo0CEIggAvLy9Mnz7d7rdS1AT3y3tERAT2798PAPD09MSUKVMeuEgwmUxQq9ViewsODrZp\nb/aqzr7cqlpt6KezNJXNeadOnXDw4EHk5eXB2dkZw4YNU6xP2pqed51OB2dnZ5w9exY6nQ4NGzbE\nwoUL4e3tXSvbOlD0mVq3bo39+/dDEAR4enpi0qRJNf41mDV5H6PVauHs7IwzZ85Ap9MhMDAQ8+fP\nl9ySVd3tvWPHjvjzzz9hsVjg6uqKUaNGlXq7QXlqaj+ddp3pvHz5Mt5//30cO3ZMfLMGUHRvxL2/\nJKtDTTzTWSwnJwcZGRnw8PC47/2HGRkZYmOy996SvLw8pKenw8PDo9wzZBX5VXb37l3k5OTA3d1d\n0fuogKK8u7i44MyZMzCbzTX6l3tpysp7QUEB0tLS4OLiUqX3wdnT3spTk89ClKc2nHErzYPkXBAE\n3LhxA0ajUfyxW91qU95zc3Nx+/ZteHh4wGAw1Nq2Dvz/vBfvT5ydnWW9R7yq1IZ9zL3tpOQxVon2\nLggC0tLS4OTkVOn70WvqmU677hx+7rnn0KhRI8yaNavS72Z+FBiNxnLzU5n3Jev1enh5eVU2rPty\ncnJS7MBVGq1WC29v7xq7Y6osjUYjy/dnT3ujh4tKparUu8AfVQaDQZZtT0ly7U8eZTWtnahUKvHe\n+oeNXUXnmTNnsGfPHnb7Q0RERESVYtc1uS5duuDo0aNyx0JERERED6n7numcOnWqeJ9fQEAAnnzy\nSQwaNEjSD51KpWL/k0RERERUrvsWnYmJiZKHS/r27QuLxYKkpCQARTe6Kv3wCRERERHVDvctOles\nWFGNYRARERHRw8zuB4lcXV3h5eWFzMxMfP7559BoNJg0aVKlH+cvKScnBxs2bEBaWhqAos7C7X1F\nFBERERHVbHYVnUOHDsWaNWvg5eWFt99+GxcuXIDBYMDYsWPxww8/VEkgf/zxBxo3bowhQ4agoKDg\noes2h4iIiOhRZlfRGR8fj+DgYBQWFuKXX37BmTNn4OjoiICAgCoJIjc3F/Hx8XjmmWcAFPVDxu6Z\niOhhtW3bNkyePBn5+fl47LHH8OGHH9aKe+RnzZqF7du3Ayh6d3nx+85rq2PHjmH69OnIyclB8+bN\n8dlnn0GrteuwWOtZLBa88847OHv2LAwGAz788EO0bNlS6bDoIWfX1mUwGJCRkYGzZ8/C398fHh4e\nsKHmFMAAACAASURBVFgsyM3NrZIg0tPTYTKZEBMTg+vXr6N+/fp48skna91baYiIypOamooxY8bg\nypUrAIDz58/Dzc0NEyZMUDawcqxevRoLFy5EVlYWAGDGjBkICQlBSEiIwpFVTlZWFl5//XVcunQJ\nAHD27FmYTCb85z//UTiy6jFt2jSsXbtWfEXiv/71L/zxxx984QTJyu43EvXo0QOZmZkYP348AODI\nkSNo2LBhlQRRWFiI5ORk9OnTBz4+Pvj9998RFxeHNm3aSF67CQD5+fkwmUxVst7SFP/Kra2/djUa\njaLvUK8s5l0ZtTnvtTXnZ8+eFQtOoGifdvz48Rr/WWJjY8WCEygqnvfu3YsWLVooGJX9Srb1q1ev\n4vr16+LfCwoKcOHChRr7PVR1e7948aLkndwpKSlITk5GcHBwla0DqN37GKD27mdqat7timb27NnY\nsmULdDodevToAaDoi5g9e3aVBGE2m2E2m+Hj4wMAaNasGeLi4nD48GHs2rVLMm3Xrl3RvXv3Kllv\nWVxcXGRfB9li3pXBvFefVq1aoV69ekhJSRHHBQUF1fjXW7Zq1QobNmyA1WoFANStWxedO3eu8XGX\nVNzWW7RoAXd3d0kh3aBBg1r3eSqr5Puy3dzc0Lx5c9n2BdzHKKOm5V0lCIKgdBAAsGzZMvTv3x/u\n7u7YuXMnrFYr2rVrp8iZThcXF6Snp4s719pEr9cjLy9P6TAqjHlXRm3Oe23O+bJly/DVV1/BYrGg\ncePG+P7772v8Zc2CggK8/PLLOHLkCNRqNQYMGIAPPvhA6bDsVlpbX7lyJebMmYPc3Fz4+/vjhx9+\nQN26dRWOtHRV3d7T09MxYsQIJCUlQa/XY+LEiRgyZEiVLb9Ybd7HALV7P1Ndea/IDzW7ik6LxYIF\nCxZg165duHnzJgoLC8Wb3nfv3l35SO9x/fp1bNiwAQUFBXBxccHAgQNhMBhsprt27VqVrO9+dDod\nPDw8kJaWViufoDcajcjJyVE6jApj3pVRm/Ne23OenJyMrKysKut2rjrl5+fXunvu79fWCwoKkJub\nK+vJjKogV3u/e/cujEajbA/v1uZ9DFD79zPVkfeSZ83LYte71ydOnIhFixahS5cuOHToECIjI5GS\nklKll7m9vLzw8ssvY9y4cRg6dGipBScR0cNCq9XWyoLTaDTWuoKzLBqNpsYXnHJycnJibzFUbewq\nOtetW4fff/8dEyZMgFarxYQJE7B+/Xrs3LlT7viIiIiI6CFgV9GZk5Mjvh3I0dERWVlZCA4OxtGj\nR2UNjoiIiIgeDnY9vR4SEoJDhw6hbdu2iIiIwIwZM1CnTh00aNBA7viIiIiolsvIyIDVakWdOnWU\nDoUUZFfROXfuXLGvp1mzZmHcuHG4e/cuFi9eLGtwREREVHsVFhZi2LBh+L//+z8ARd0efvnll7Xi\nDVxU9cq8vL5nzx68++67aNu2LVq3bg0AaNKkCbZv345u3brVyg5TiYiIqHosX74cv/zyC65fv47r\n169j/fr1iImJUTosUkiZRefMmTPRpUuXUv/WrVs3zJw5U5agiIiIqPY7c+YM8vPzxeHc3FycPXtW\nwYhISWUWnceOHcOTTz5Z6t+eeOIJHDp0SJagiIiIqPbr27cv3NzcxGF3d3f06tVLwYhISWUWnZmZ\nmZJfKPeyWCzIzMyUJSgiIiKq/f4fe+cdFdXx9vHvdnrvHUSaiqLYqZagRgW7QY2xBVAw9thLjC3F\n3uJPjdGoMUYsiQ1bNJaoqNgFERFBBKV3lt37/uFhXmbvUhZBwNzPOXsOc5nyTHtm7szcefz9/fHt\nt9/C09MT7dq1w4IFC+Dp6dnQYlVJWVkZJk+ejO7du8Pf3x/nz59vaJE+Gqr8kMjZ2RmnT59GUFAQ\n639nzpyBq6trvQnGwcHBwfH/MAyDXbt2ISYmBj4+Phg0aFBDi8TBUSNCQ0MxaNCgJmORaNmyZThy\n5AhkMhkAYN68eTh+/DgMDAwaWLKmT5WTzmnTpiEkJAQymQwDBgwAn8+HXC7H4cOHMWnSJKxevfpD\nycnBwcHxn2bmzJmIjIxESUkJTp48iadPn2L27NkNLRYHx0dHbGwsmXAC78xvP3v2jJt01gFVbq8H\nBwfj66+/xhdffAGJRAJzc3NIJBKMHj0as2bNQnBw8IeSk4ODg+M/i1wux5UrV1BSUgIAKCgowNmz\nZxtYKg6Oj5NyYzjlmJiYwMbGpoGk+bio9p7OadOmYdy4cbh27RoyMjJgaGiIzp07Q1dX90PIx8HB\nwfGfh8fjgc/ns55xcHDUPYsXL0Zqairi4uKgpqaGiRMnwtTUtKHF+iio0eXwurq6lX7FzsHBwcFR\nv/B4PPTr1w+7du1CXl4eDAwMMHz48IYWi4Pjo0RdXR27d++GTCaDpqYmiouLG1qkj4YaTTo5ODg4\nOBqW2bNno0uXLrh16xa8vLzQvn37hhaJg+OjRiAQcDsKdQw36eTg4OBoIvj4+FRqsIODg4OjsVPl\nh0QcHBwcHBwcHBwcdQE36eTg4ODg4ODg4Kh3uEknBwcHBwcHBwdHvcNNOjk4ODg4ODg4OOodbtLJ\nwcHBwcHBwcFR73CTTg4ODg4ODg4OjnqHm3TWETt37oSjoyNsbW3RokULxMXFqRxHYWEhBgwYAHt7\ne9jZ2aFnz57IzMysNlxcXBw+/fRTeHl5oU+fPnj9+nVtslBr5s+fDwcHB9ja2sLT0xOFhYUfNP3/\nAnfu3EGvXr3g5eWFoUOHIisrq6FFajRIpVKEhobC29sb3bt3x+HDhxtapFrzzz//4JNPPoGXlxdG\njhyJgoKCek+zpKQEEyZMgKenJxwcHODh4dHo2tiTJ0/g5uYGW1tbODo64uDBg1i8eDGcnZ1hZ2cH\nd3d37Nu3r17Sfv36NQYOHAgvLy98+umniI2NxZMnT4jOHThwIOLj4xEcHAwvLy8EBATg+vXr9SIL\nACxZsgS+vr7w8/PD2rVraxVHQkICWrZsCVtbWzRr1gybN2+uUbjc3Fx89tlnJJ83b95UOe2SkhIE\nBgaSca5Xr16Ii4tDYGAgvLy80K9fPyQmJiIpKQn9+/eHl5cX+vfvjxcvXqicVk3Zvn07/P394ePj\ng5kzZ6KoqAjjxo2Dt7c3vL29cfLkSVaYvLw8jBgxAl5eXvjkk09w9erVatO5efMmAgIC4OXlheHD\nhyMnJ4flh2EYfP311/D19YW/vz+2bdtWJ3lsLPAYhmEaWghVePXqVb3GLxKJYGxsjDdv3kAqldYo\nTFpaGjp16oTS0lLyzNjYGDExMSqlPXnyZBw6dIh65uPjg/3791cZrlevXrh//z5xd+3aFb///rtK\nadeWe/fu4dNPP4VcLifPWrRogaioKJXiqU25NybU1dVRVFRUL3HL5XJ0796depHp2bMndu3a9d5x\nN+VyLy/zJUuWYPv27aQNWlhY4NixYzA3N29gCZVTWZkXFRWhZ8+eeP78OXk2YMAAbNy4sV7lmTt3\nLn755RfW808++QQ///wz63l9tvXKaNWqFfUCLhS+u2K6rKyMPNPV1cWJEydgZ2enNI7atvWhQ4fi\nypUrlCwMw+DBgwfkmaGhITIyMojb0dERZ86cgVgsrnE61aGuro5ffvkF8+bNIy/2urq62LZtG7y8\nvFSKq127dtTihFAoxOXLl1k2xxUZP348NQGrST4Vy33GjBmsMU1fX596yWnbti14PB5u3bpFyXzs\n2LEa57GmPHjwAJ999hlpXxKJBC1atMDt27eJH2tra5w4cQIGBgbkWVhYGCVPs2bNEBUVBTU1NaXp\nlJWVoXv37oiPjyfPevXqhR07dlD+tm3bhpUrV6KkpAQAYGBggL1798Ld3V2lfH1I3W5hYVFjv9xK\nZx2QkJBATTiBd29Bqs7nlb3JVTfJLisrY61IvH37VqV034dr165RE04ASE1N/WDp/xfIyspCdnY2\n9Sw9Pb2BpGl8xMfHU20wNTUVz549a0CJaserV69YOxspKSn1nm5iYqLS542pjSmu+JaVlVETTgDI\nycmhXr7rCkV9mpGRwdK5ivJlZWXhzZs3dS7Lv//+S+0k5eTk4Nq1ayrHo7jCVlZWhsePH1cbLi0t\njXJnZWWpPN48ffqU9Sw/P59yZ2ZmsvpCxUl9XXLz5k0qrZKSEiQlJVF+0tPTWeOz4jiXmZnJKp+K\nvH37lqXHlfm/c+cOmXCWx3vjxo3qM9JEaHIWiSQSCfj8+psr83g8FBYWQiQSkbfp6nBzc4NYLKYm\nnjo6OtDQ0FApbQcHB0RHR1PPrKysoK6uXmU4AwMDJCcnE7eJiUm1YeoKf39/fPvtt9SgXxOZFalN\nuTcm+Hx+vZW5hYUF9PX1qUmAubl5naTXlMu9vMxdXFzw999/UyudLVq0+GB9QFUqK3MHBwcYGhpS\nEwIbG5t6z4ejoyMuXrzIel5ZG6vPtl4Zmpqa1ECsbKVTT08P7du3r1S22rZ1ExMTxMbGEreRkREA\n+oVAS0uLss9tYGAAGxubOl3p5PP58PHxwZ9//kmtdPr6+qpcH7q6utRqtUgkgoeHR7XxWFpaUiuA\nhoaGsLa2rjKfiuXu6urKGue0tLSoibyRkRH4fD616m9sbFwv7c7Ly4taqZZIJLCzs0NGRgZZODI1\nNYWzszOVvpWVFXW8wNDQEHZ2dpWudFpbW8PAwICapFtYWLDy1KFDB0RFRZH2ZGhoCG9v749mTOW2\n1xWo7ZL0zp07sXz5ckilUmhpaeHIkSNo3ry5SmkXFhZixIgRiImJAcMwaN68OQ4cOEAt6SsjLi4O\nU6dORU5ODkxNTbFp0yaYmZmplPb7sGDBAuzduxcymQzGxsa4dOmSyhPuprzNC9T/luOdO3cwZ84c\n5Ofnw9LSElu3boW+vv57x9uUy728zKVSKSIiIvDw4UOIxWKEh4djwIABDS1epVRV5v/88w+WLl2K\nwsJC2NvbY+vWrdDU1KxXeUpKShAeHo47d+4gMzMTurq6cHJyqrSNNcT2+pMnTzBw4EAUFBRAJBJh\nxYoVePjwIfbv34+SkhLo6uri66+/RnBwcKVx1Latv379GhMnTkR6ejp0dXWxevVqAMC0adOQk5MD\nExMTfPfdd1i4cCGSkpKgqamJb775Bh07dnzvfFek4nGS8+fPg8fjISgoCFOmTFE5roSEBPTv3x95\neXkQCoWYMWMGwsLCqg2Xm5uL0NBQks9vv/0W7du3rzKMYrmXlJRg2LBhuHv3LhiGgYuLC9avX4+Z\nM2ciIyMDBgYGWL9+Pfh8PsLDw5GZmQkDAwNs3LgRNjY2Kue1Jmzfvp2MYZ06dcKSJUsQHh6OuLg4\nqKurY+rUqejduzcVJi8vj5SFuro6Fi9ejC5dulSZzs2bN7FgwQLk5+fDysoKP/30E3R1dSk/DMNg\n9uzZ+Pfff8Hn8xEcHIwJEyaonKfGur3OTToVaMqDMNAwA0JdwJV7w9CUy72hyjwhIQFnzpyBg4MD\nevToAR6Pp1L4plzmANfWGwqu3BsGrtyrR5VJZ+NZc+Xg4OBo5Pzzzz+YNm0aXr16BTU1NfTr16/W\nXxBzcHBw/NfgPiTi4ODgqCHr168nuy3FxcX4+++/uQ/nODg4OGoIN+nk4ODgqCGKp5HKysqa5JYh\nx/+TkpKCiIgIhIaGUh/JcHCoyoMHDxAWFobw8PB6vVe0KcNtr3NwcHDUkIEDB+LJkyfIysoCj8dD\ny5YtYWVl1dBicdSSzMxMfPbZZ+SKrZs3b2LHjh1o06ZNA0vG0dR48uQJxo4dS241iImJwaFDh2Bq\natrAkjUuuJVODg4OjhoSHByM1atXY+DAgYiIiMDu3bvr9Qo3jvrlzz//pO50ff36NXbu3NmAEnE0\nVXbs2EFdo/X8+XMcPHiwASVqnHDa8j8KwzBYuXIlAgMDMWTIENy7d69e01q6dCkCAwMxdOjQGl1C\n3Bg5deoUBgwYgKCgoEqtAe3atQtBQUEYMGAATp8+/WEFVML//vc/BAUFYeDAgTh//nxDi9PkYRgG\nN27cQFJSEqKjoynrIu+DTCbD/PnzERgYiOHDh1d6uX1cXByGDRuGwMBALFmyhGWYoaSkBFOnTkX/\n/v0xatSoKi+rbijOnz+PgQMHIigoCNu3b2f9PyYmBr1794aLiwvatWuHpUuXIjo6GoMHD0ZQUBC+\n//57lQ1vVIaOjg4EAgH1TNXr3poCFy9eJGW+detWpX7+/vtv4uenn376wBI2fbS1tSk3j8eDjo5O\nA0nTeOG21/+jbNy4Ef/73//IBbQTJ07EX3/9BT09vTpP68cff8TOnTvJ5fkhISE4fvw4q5M2Zp48\neYK5c+eSQfzp06cwNzdHQEAA8XPq1Cl899135HLvFy9ewNbWFi4uLg0i89GjR7FmzRoiT1JSEg4e\nPAh7e/sGkedjYM2aNdixYwdpy6GhoXXSlpcuXYo9e/aQy84nTJiAkydPQiKRED+FhYX48ssviUWX\ne/fuQSwWY86cOcTPzJkzKVO6Y8aMwfHjx1W+1qm+SEhIwKxZs8jHV3FxcTA2NkZgYCCAdxZuJk6c\nSM7D5eXlYdu2bdi/fz9pxw8ePIC2tjZCQ0PfW55+/frht99+w7Vr1yCTyeDm5oavv/76veNtTLx8\n+RLTp08nZf7kyRMYGRlh8ODBxM+LFy8wY8YM4ic2NhZGRkYYNGhQg8jcFJkyZQquXbuGe/fugc/n\no0OHDhg2bFhDi9Xo4FY66xCGYSjzWTKZDCUlJdSHBmVlZZQZMwDkwtxySktLWabFCgsLKesbcrmc\nWuVgGAaJiYmUObHS0lLKzTAMsrOzUVZWhhs3blAWNF68eEFWIBVNekqlUioPcrkceXl5lJ+3b9/i\n5cuX1LPyeG7dukXF+fLlSzx9+hRSqZSyQsEwDEpLS6lVDKlUynqWnZ1NlRfDMMjLy6PKIy8vj2Um\nrzqkUikrTElJCWQyGc6ePUutGmVnZ+P48ePET1lZGU6cOEFZk0lLS8PZs2chk8mqNeNXUlKC5ORk\nKp9FRUVUPmUyGTIzM6l85uTkUGEYhoFMJgMAnD59mpInNTUVFy5cgEwmY60U5eXlUXWkKF/FeCvK\no4jiM2XtVLH9K0NZ3Kr6kUqlLD/5+flU3mUyGeWnvA1WpGLeo6Ojqf8nJSUhLi4OpaWl1HO5XK40\n/YpuqVSK3NxcAMD9+/ep8k5NTWX1p4SEBGr7rrS0FDExMZDL5aSdKJoYfP36NcvkoWKeKpMPeNcO\nKpZXXl4ey5SfsjwqtsnyMIpf++fk5OD06dNEnkePHrFMEMrlcioPRUVFxPRjUVGR0j5bMf2MjAyq\nDZaUlJB2IBQKsXv3bmzevBmbN2/G4cOHoa+vj+zsbMrsolQqRXp6OpXXkpIS6v5GmUzGus9Rsa3L\nZDLW6nRBQQH1TLHPAO9uSlDsR2VlZUSe8narGE4qleLixYtUmefl5eHs2bMk7eLiYly6dInyk5ub\nS/zk5eWxVsyLi4urHI/kcjkKCgqo8lKUT5kpU2V9r6JlIGUoK6+cnBxWnVc0S8owjNK7NyvKK5PJ\n8ObNmyr1TEV9oaOjg8jISKxduxZbtmzBb7/9Rl4aMzMzqTyUlJRQul0ulyMpKYnyc/HixTrbSWlU\nME2MlJSUev2lp6czDMMw6enpKoXT1tZmAJCfoaEh5dbT06Oe8fl85uDBg4ypqSl5pq2tzairq1Ph\ngoODGR6PR9wWFhbM6NGjGVtbW8bW1pb58ssvmYCAACoMAEZTU5Nyd+jQgXKrqalRboFAwCxatIjR\n0NBgBAIBI5FImBUrVjAGBgbEj46ODuPp6UmFCwkJYaU9bNgwRiKRMAKBgNHQ0GDc3NxYaWtoaFDP\nhg4dyujq6jICgYBRU1NjwsLCGHt7e/J/iUTCjB49mgojFAqZkSNHUs+6detGlZe1tXW1dRcbG8vY\n29szQqGQEQqFTNu2bZl9+/YxQqGQxGNnZ8fK54QJExiJRELc+vr6LD96enqUe+vWrYyLiwtJq0WL\nFgyfz2fVuVgspvJua2tL+VF0e3t7M/PmzWPs7e0Za2trpl+/fkzHjh0pPxKJhOnYsSNjbW3NODg4\nMIsXL2YuX75M+RGLxYyDgwMl348//sg4Ojoy1tbWjL+/PxMdHc107NiRsbKyYpydnZk9e/YwFy5c\nYFq1asVYWVkxrVq1Yv7++29WOx03bhypGz6fz8ydO5dVFzdu3GA8PDwYKysrxs3Njfnrr79Yfh4+\nfMh07tyZsbGxYZycnJhdu3ZR/3/58iXj6OjICAQCRigUMq1bt2bGjh3LKuOOHTsyEomEEQqFjLm5\nORMYGMiIxWJGIBAwOjo6zLVr15iFCxeSMu3bty9jbm7OqmMdHR3yt4GBAdO/f3/Sdvh8PuPm5sZs\n2rSJcXZ2ZqysrJhOnTqx2oWVlRWrrm7fvk3lq0uXLqy0ra2tGZFIxAgEAkZXV5dxdHRk6aGkpCQq\nnvnz51PtJCkpifn1118p+f7991/G29ubsbKyYhwdHZnly5ez0v7xxx8Zd3d3xsrKimnZsiVz+vRp\npl+/foy1tTVjb2/PzJs3jxk4cCAVplWrVqx4vLy8GAcHB8ba2prx8/Oj2n5lPx6PR/lr2bIlc+3a\nNUZHR4cRCASkHVcM065dO5Z+VazPbt26sdJS1FUWFhaU/hSJREyLFi2oPjRp0iTS1nk8HrNkyRJm\n+PDhjI2NDWNnZ8dMnjyZWbZsGRWvp6cnM378eNJnxowZwxw6dIgRCATEj6+vLzN//nxGX1+fEQqF\njLq6OuPu7k7yra6uzkycOJG5fPkyY2BgwAgEAip8+U8gEFB6suLf5T9l48rUqVMZLS0tqvxCQkKI\nzJ9//jkTFBREhXF0dGT09PRIvXz++eeMq6sr6Z+urq7M7t27GXV1daL/t27dygQHB1PxODk5Ue04\nOTmZ+fzzz0naoaGhzM6dO6kwdnZ2LP06bNgwqm7Wr1/PXLt2jWnTpg1jZWXFODk5scZzS0tLlh6K\niIgg45y2tjbz7bffUmHU1dVZ7al169aMSCSi2krF8qzsd+TIkQ82l6nNTxU4i0QK1OYW/wcPHlDb\nrPWNQCAgb18aGho1WjlShlAopN40+Xw+643xY2DVqlUYOXJkpf//4osvcObMGepZxTKujJr4UYTH\n49XZeTRFdHV1yYqQUChkrTjx+XzweDwic7md7+pWhBXbmJWVFZKTk4nbwcEBWlpa1LlgGxsbvH37\nloRTU1OjVtbL5YmNjaXO0A0ePJisYgGAq6srWXEpZ/z48Th58iRx29vb48yZM8Q2cUREBCIjI6vM\nU00oNz+bmZkJoHb1XU5trJqMHTsWS5cuBfBuVcjW1lbldIVCIaKjo2FsbAzg3dbqkCFDSJ6EQiFC\nQ0Nx4sQJJCQkkHDm5uYq3z9qYmKCzMxM0p709fWpnQxl8Hg86OrqkpXQ99FB2trarB2YxoREIiGr\nW5XJKhaLycqZhoYGa5cJqL4tiUQiGBgYfLDzvBXHkYp5rG0cgHJ9AQC//fYbvL29yd/z588nZaGl\npUXt7NUUgUAAT09PXL9+vUp/Bw8eJGYu79y5g6CgIJV3096HirscNaGxWiTittfrgD/++OODpldx\n4KvthBMA65zXxzjhBEBNUJSRmJjIelYX27vKqM93vIpbkIrbouVpV5Q5IyOjRkpTsY0pbtdmZ2eT\nSUw5WVlZVDhlA4hcLsfz589ZcSmmpTiIKR49yc7ORkpKCu7du4f4+Hjcv3+/mhzVjPz8fCpftZ1w\nAuxtw5pQ8Z6/2k4gysrKqO3q+/fvU3kqKyvDw4cPWXVam8mb4pGW6iacAKitd+D9dND76MIPQcV2\nXFn5VmwnhYWFSicL1b28SKVSVj+qTxSPCb1vHAAqnSRV/Bjy1q1bVFnUZsIJ/P+xpeqouDARExPz\nQSecHxPcpLMOqGoVrSpqe9WKWCwmf7/P13GGhoaUWyikvytryI8P6vIamuoOc7u5ubGeiUSiauOt\n+JFHTanPMq1Yn2KxmPVVrrq6OtV2zMzMKHdlVPxIRiAQwMTEhJWumZkZ9czU1JRqm5qamqx4BQIB\nHB0dWeEU41YsZxsbG8qtp6eHyZMnY8CAAejfv3+dTewNDQ0peWrSJipDTU1NJf88Ho9ql4rlWxmK\n/UZdXZ36cMzT05OqP4lEgk6dOrF0gZGRkcpt1cDAgKqr8tXVqlBTU6PkeZ8yro+PIOsKHo9H9QF9\nfX2l/iqu+uvq6irVMdV9tCaRSFRub+9DRR2irJ8roqxdKeqhynRrv379yN9+fn5UWdS2/oVCYY36\nV1BQEPm7U6dOtdL/HNyks05wdHREs2bNqGctWrSgBn07Ozs0b96cuIVCIc6fPw9nZ2fyzMzMjDXo\nLlmyhIrH3d0dX331Fdzc3ODm5oaIiAhERERQYXg8HrXczePx8Nlnn1F+PDw88Mcff6Bjx45wdnaG\nr68vDh48CD09PYjFYmhra2PPnj2wtbUFj8cjcQ4ZMoSKd/Xq1azyWLJkCbS1tSEWi6Gvr4/t27eT\nwYTP52PWrFmwtramwsyfP59MgnR0dLB48WK0a9eODKI6OjpYuHAhFUZLSwvz58+nno0bN46aPLdv\n3x79+/dnyViRNWvWoG3btkRZBwQE4OTJk2QA4PF46NWrF7S0tEgYIyMjREdHE0XH4/GUKqKKl0wL\nBAL8+eef6NKlCyQSCSQSCXx8fFiDyPz586kJm56eHtnWKcfHx4dyjx49GosWLULLli3h4uKCESNG\n4IcffoCWlhbEYjGMjIxw8uRJDBs2DC4uLmjVqhUWLVqE27dvU4OArq4u2rdvT8m3ZcsWuLu7w8XF\nBYGBgfjrr7/Qq1cvODs7o23btli3bh1++ukndOnSBU5OTujSpQsOHDiAkJAQuLq6ws3NDVOmTMGi\nRYtIWxYKhdiwYQOrvDZu3Ag/Pz84OzujQ4cO2LJlC6u+Vq1ahd69e8PV1RUeHh5wcnLC3bt3GgE2\nPQAAIABJREFUUVxcjJycHCQnJ8PNzY3koWfPnvj222+pOObNm0fqVCKRwMnJCVOmTIGGhgbEYjFM\nTExw6tQpzJ8/n5RpcHAwpk6dSsVjbm5OTYLt7e0REhICNTU18Hg8CIVCdO3aFb/88gvatm0LZ2dn\n9OrVizXZXrBgAWxtbSGRSKCrq4vBgwdj5syZVNsJCQmhwohEIixYsIC8TFhYWODgwYMwMDAgfXjj\nxo3kmEC5fIp5mjRpEtatW0fkCwgIwF9//YV+/frB2dkZrVu3Jtv8FenUqRO8vLzg7OyMzp07IzIy\nEsHBwXBxcUHLli2xYMEC1pfgX375JSXfli1bsHjxYrRq1QouLi4YPnw4S6dUlL+c5s2bk37D4/HQ\ns2dP/P333zA1NYVYLIaGhga6detGhRk8eDA1EebxeGjVqhXlHj9+PCstxZectm3bUjLp6OigZ8+e\npB9pa2tj9erVpK0LBALs2LEDY8eOJf1hxowZ2LNnD9X3AgMDKd0eGhqKM2fOkAkkn8/HyJEjsWzZ\nMlhZWUEikUBfXx89e/aEiYkJJBIJdHR0MGPGDHLUpBxFHaOsTJ2cnIi+lUgkSneINmzYQMaocuMI\ns2fPhpubG1xdXREaGoopU6ZQYTp37gxLS0uIxWJoampi9uzZ8PLyonTMX3/9BV1dXdIu9u3bx9L3\n3bp1Q9u2bYn7008/xZdffknKNCIigiWzt7c36wqsefPmUXrowIED2Lx5M7y9veHs7Ix27dqxjrK0\nb98erVu3Jm5XV1csXLiQjHMmJibYvXs3VZ9GRkasGxYGDRpE1YWWlhZLFygu/gDA7NmzWc+aKtyZ\nTgU+5DmI+qA2Z8caA1y5NwxNudzLy3zChAk4ceIE9b/NmzeTa3gaG02xzBmGQVhYGE6ePImysjLY\n29tj3759rAlZY6YplntFaqpj0tLS8Mknn1DHUNq1a4djx44R9759+6iXGgDo37+/0pe89+W/Uu51\nRV5eHoYOHYr79+9DIBCgU6dO+PXXX1XeBWisZzq5ezo5ODiaNIGBgbh27Ro5Q2hvbw8vL68Glurj\noqioCImJidQ5Nm57sXFibGwMW1tbMukUi8Xw9PSk/HTv3h22trbk3LChoSF3J2cjQVtbG5GRkbhy\n5QrEYjG6du3KOirVlOEmnRwcHE2avn37oqioCEePHoVQKMT8+fNZZxQ53o+DBw9SH2g9f/4cq1ev\nxqpVqxpQKg5l8Pl87N69G/Pnz0dmZiY8PDwwffp0yo+pqSl27NiBlStXoqysDEOHDkWPHj0aSGIO\nRdTV1T/a+uAmnRwcHE2eIUOGUOeNOeoWZV/qfqy3XXwM6OnpYePGjVX6cXV1xS+//PKBJOLgeAf3\nIREHBwcHR5UMGTIErq6uxG1nZ4fJkyc3oEQcHBxNEW6lk4ODg4OjSnR0dHDw4EFs2rQJZWVlmDBh\nAiwtLRtaLA4OjiYGN+nk4ODg4KgWfX19zJ8/v8ne1MDBwdHwNKrtdblcjq1bt2Lfvn0NLQoHBwcH\nBwcHB0cd0qgmnf/++2+NrFg0ZsrKylBQUEC568M8m0wmo9KpTJbXr1+/t4WWoqIi6p4vhmGQl5dH\nfUiQn59PmQlkGAapqalVmg4sj0dV+SozD1eRgoICVtqK+agrioqKKPN1crmcypeyuqpJ3hXjVUZW\nVla1JgsV66a+UNYuSktLq10VKygoUNmknFwuR25ubr2aFa0KxfalLO/VIZfLa22670NRnYxSqbRB\nzU/WpH0pkp+fj6ysLJU/hFLsj1KptE5WfGuSB7lcjvT0dKXmZAF2+6utbmUYBomJidWOLcrSrq++\nqDim1oTc3NwPZgq0NvpLEZlMhvT0dBJPbfRJU6HRTDpzcnLw9OlTyuJAU2PXrl3w8fGBr68vhgwZ\ngk2bNsHHxwc+Pj4YPnx4nW1J7du3j6QzcOBA5Obmsvxs2rQJzZs3R/v27eHo6EjZja0pUqkUY8aM\ngbe3N7y9vfH9998jKSkJvXv3hp+fH/z9/XH8+HEEBQXB19cXvr6++OOPP3D9+nU0b94cHTp0QLNm\nzbBmzRpW3NevX0e3bt3g5+eHgIAAPH36tFp5SktL8fnnn5MyXbt2LctPdnY2goKCSPn89ttvkEql\n+OKLL0g+fvzxR5XLQhllZWUYO3YsvL290aFDB3z33Xc4d+4c/Pz84Ofnhz59+mD9+vVElsGDByM/\nPx/37t1Djx494Ofnhx49euDevXtUvHK5HGFhYfDx8YG3tzeWLFnCSlsqlaJ9+/Zwd3eHm5sbAgIC\nWH4yMzMRGBhI6iYyMrJO8q2M1NRUfPrppyTvUVFRWLRoEby9veHj44OJEyeyFGhhYSGGDh0KX19f\n+Pj4YOfOnTVK68KFC/D390fnzp3Ru3dvJCcn10eWlJKfn4/BgwfD19cX3t7e2L17N5KTk6k+ceHC\nhWrjOXz4MLp27Qo/Pz98+umnSE9P/wDSq8aJEydIfSqTce3ataR+R48eXSv78u/DihUrSJ8eP358\ntQN/UVERfHx8iJWlNm3a1Kiu5HI5Jk6cSPrjokWL8OOPP5K0R48eXeuX2Yp9JCwsTOkk4/Tp08RK\nkYuLCyZNmkRN8F6+fEm1vwMHDiAgIIC4r169WiNZ7t+/D1tbW3Tt2hVOTk7o1atXtWEePnyInj17\nws/PD927d8fdu3drnvkasH37dqI/azKGFhQUwNfXFy1btoS7uzu6dOlSb5PPwsJCDBs2jOiv7du3\n1yqe7du3w8nJCe3atYOTkxOWL1+usj5pSjQai0S///47vL29UVJSgqtXryI4OBi5ubmst+zS0tIa\n2XetLUKhEPr6+sjKylLp7eXVq1fo1asXXr9+TZ6pqalRb6ajRo167wnP27dv0bNnT6SkpJBnAwcO\nxNatWwG8u7A5PT0dLVq0oAYBbW1tPHv2TKW0li1bhg0bNhBFqKurCzs7O0qxaGlpUXVkbW2NnJwc\naiIsEokQGxtLmZH09fXF48ePibtjx474999/qyz3RYsWYevWrUTh6uvr48iRI9RXtV9++SWOHDlC\n3FZWVujVqxd27txJ5ePQoUNwd3dXqTwUWb58OTZs2EBWvLS1taGrq0tNgsRiMVUPQ4cORWxsLFWG\nbdq0QVRUFHFv3LgRK1asIAOZlpYWtm/fTpn1Cw4OxtmzZyl55syZQ5lp/OKLLyhLPba2tjh//jxl\nhq227V2RYcOGUcrRzMwMeXl5ZIVCJBJh7ty5mDRpEvEzZcoU6iiNmZkZTp48WeUHKnK5HF5eXoiP\njyfPvL29cejQoVrLrgrh4eH4/fffidvCwgLW1ta4fv06eebo6IjLly+z7KCXU1ZWBh8fHyoPPXr0\naFTHioqLi+Hr64vnz5+TZ+UySiQS3LlzBwMGDCAX8vP5fISGhmLx4sUfRL7r169jxIgRRM8IhUJM\nmTIFs2bNqjTMnDlzsGPHDuqZra0trl+/XmldAez+qKamBoFAQNo2n8/HxIkTWWYbq+P8+fMYP348\n0Z/K+ohUKkWbNm3w5s0b8ozP52Pjxo0YPHgwgHf6//Lly+T/iuOOs7MzLl26pNTmeUXs7OxYq9bb\nt2+v0oxwQEAA7ty5Q9zu7u4svVRbHZOUlIQ+ffpQLzvVjaEhISE4fPgwS8Y9e/bUOF1FJBIJSkpK\nWM+nTp2KvXv3ErepqSlOnjwJKyurGsedlpaGDh06UJNpPp9PvXxUp08qo650e01QZYe6UXxIFBsb\nC01NTZibm1NK7tatW7h48SLl19fXF/7+/vUuk76+vkr+4+LiKLNjAFhbIRkZGe99fCA5OZko+nJy\ncnKoeFNSUliNrLS0FHp6eiqZ0kpJSaEaf05ODittxdWN3NxcVgeVyWSQyWRERmVbcuXuqspd8ahA\nVlYWUlNTKTvkOTk5VJjs7GwkJiay8pGSkoLu3btXmlZNSElJobZY8/LyWIpBsXyysrJYeS8oKKDq\nLyEhgVo5yc/Px/Pnzyk/yl4gbt++TflR3HbPzc2l6qEiqrZ3RRS3v/Lz86lnUqkUCQkJVNqZmZlU\nmDdv3iA/P7/KPpKdna207XyoYzmK7T8jI4Nl17qoqAgSiQR6enpK40hOTmbtTlSX7w9NcnKy0jot\nl/HVq1dUWcjlcrx+/fqD5eHFixdUGZaVleHly5dVpp+WlsZ6lp+fDzU1Nejq6lYaTrE/Kup1uVyO\n1NRUlfOekJBAvbAr6yNpaWmsepDL5YiPjyf+FP+vqPuLioqgo6NDbLhXhrKJVUxMDIKCgnDr1i1Y\nW1tTL/jK0lbUZRVRVcc8ePCANaZWN4Yqq+M3b97US7tUpr/y8vJUSuv58+dK21NFqtMn1fG+ur2u\naRSTzpcvXyI2NhZPnz5FWVkZSkpKEBkZiR49esDZ2ZnyW1paSr311TW1fTswNjaGlZUVEhMTSTwa\nGhpEMYrFYri6ur637Hp6ejA3NyeTDoFAAEdHRxKvRCKBpqYm1NTUqMFZR0dH5W0GT09PnDx5kigW\nc3NzODg4ICkpifjR1tamzkeZmJggLy+PWvGVSCRQV1en8m5kZERMsJXHDaDKcvfw8MCpU6fIW6Gl\npSWcnJyoeB0cHHDp0iUyGTQzM4OXlxeuXr1KysPc3Bxubm7vXRft27fH8ePHSbympqbQ1dWlJr6a\nmpqk/IRCIZydnVFYWEgdJzAxMaFk8fLywtGjR8mk0djYGO3bt6f8dOvWjVq14fF4CAoKovzY29vj\n8uXLZKJubGwMNTU1yk9dvQ1bWVnhxo0bVJ4q1rm2tja8vb2ptF1cXHDu3DkyoFtbWxNbwZXBMAwM\nDQ3x6tUr8szc3LxedUJFnJyccOHCBVJWlpaWsLe3R2xsLPFjYGBQpZ6SSCQwNTWlVnBsbGw+WB5q\ngkAggKGhoVIZJRIJXFxcYGFhQepBXV0dHh4eHywPHh4eMDU1JZMMLS0tdOrUqcr03d3dcfz4cerF\n1cTEBCUlJVWG8/b2pvqjgYEB+Hw+mRCpq6ujbdu2Kue9Q4cOVHtX1keAd7qyos4tN41Y7s/CwoJa\nbaw47gDvTFzm5eVVe/ZbX1+fNclzcnJC+/bt8fz5c+jp6WHUqFFYsGAB+b+pqSni4uIot6L8tdUx\nZmZmsLa2JuOEWCyuVm+3bt2adZzgfXV9ZSudrq6uOHfuHFlYsLGxYeny6jAwMICOjg41ZgiFQqqc\nqtMnldFYVzoFiz/UfkgVODg4oHPnzujUqRMsLCyQn5+PoUOHQiKRQFtbm/oVFhZCLpfX24/H40FT\nUxP5+fmQSqU1DicWi9GqVSvyBtqzZ09Mnz6drFD17NkTc+fOBcMw7yWfUChEmzZtEBcXB0NDQ/j7\n+5Mzf3K5HAKBAHK5HB07dsTp06cBvGu0x44dg7a2tkppubu7o7CwEMXFxbCwsMCsWbMQERGB+Ph4\nqKuro3nz5tixYwdZ4bOzs8MPP/yAkJAQHD16FGVlZdDQ0MDPP/8MGxsbKm4/Pz88fvwYOjo6aNOm\nDTZv3gwDA4Mqy93DwwO5ubkoLS2FhYUF5s2bB3d3d8qPl5cXXr16BT6fD1tbW3z33Xfo3bs38vPz\nUVJSAktLS8yePRseHh7v3Vbc3d1RVFSEoqIiWFlZYcaMGQgJCcHjx4+hq6uLDh06YMGCBUhMTISh\noSG6d++ORYsWoWfPnmR1v0WLFti0aRMkEgmJ19nZGTKZDPn5+TA3N8dXX30FX19fKm1/f39ER0cj\nPT0dIpEIw4YNQ3h4OOXHx8cHycnJpG5Wr14NExOTOmnvij9/f38kJiZCJBKhWbNm2Lx5MxwdHfH6\n9WuYmpoiODgYI0eOpMJ07twZ6enpYBgGVlZWWLZsGRwcHKpNy8fHB0+ePIG+vj7atWuHtWvXknZf\n378uXbqQFyobGxssW7YMo0ePRkJCAiQSCZo3b44NGzZU2dcEAgH69u2L27dvQ19fH126dMF3331H\nttUaww8AunTpQsq5c+fO+P7778Hn8yEQCCCRSGBnZ0dWF/v374/Jkyd/MPnKX75fvXoFU1NTDB48\nGBMmTKi27vLy8vD06VPw+Xw4Oztjx44d1epFJycn8mFHeX/89NNPkZycDGNjYwQGBiIiIkLlPBgb\nG8PQ0JD0kc8++wyjRo2i/DAMg27duuHChQsoKSmBlpYWZsyYgcDAQOKnW7duePbsGdTU1NC8eXP8\n9NNPSEtLg7q6OpycnLBp0yZoampWK89nn32GPXv2QCqVgs/nY/z48bh06RI5ClRcXIykpCQMGDCA\n6Ktu3bpVqcvk8trrGDU1Nbi6upLV35qMoV27dkVsbCxSUlIgFArh4+ODdevWkfGxNj+BQICSkhLW\n8/KXnHL9tXTpUjg6OqoUt0gkgqenJ86fP0/a9ebNm1FaWlpjfVLZr650e01+irs9VdFoznSWk5iY\nSM50KqPiCkd9IBKJyNtnfXzpXN801Tv0uHJvGJpyuXNl3jC8b7nn5+dj8+bNyM/Px9ixY2FnZ1d3\nwlXBf73ca8OgQYPw77//Ereenh6OHz+uUp1x5d4wfMhyt7CwqLHfRrG9XhE7O7sPpoQ4ODg4OD4c\nRUVFGDJkCLmxISoqCr/++iscHR0bWDIOZfj6+uL+/fvkiFCzZs1gbW3dwFJxNGUa3aSTg4ODg+Pj\n5NSpU9QVYS9fvsS6deuwYcOGBpSKozImT54MTU1NXLp0CQYGBliyZAkEAkFDi8XRhOEmnfXMnj17\ncPr0aUgkEnzzzTecvWIODo7/LMqufanuKh+OhmXcuHEYN25cQ4vB8ZHATTrrkb1792L58uXkS8KE\nhAT8+eef1H2VHBwcHP8VAgIC0LZtW9y+fRvAu+NU06dPb2CpODg4PhTcpLMeOX36NHV1xbNnz/Dg\nwQN06tSpAaXi4ODgaBjU1NTw+++/Y9euXcjLy8PIkSNV+giBg4OjacNNOusRRctJmpqaMDAwaCBp\nOBoLmzdvJlaT+vXrh4iICJXjKCgoQEREBF68eAFNTU2sWrWKdXHzhyQjIwPh4eFIT0+Hvr4+1q1b\nxx0l+YgoLi7GlClT8PTpU2hqamLhwoXw9PSsVVzq6uoICwurYwk5ODiaAtyksx5ZsmQJ4uPjER8f\nDw0NDfTv3x9OTk4NLRZHA/L3339jw4YNZAU8MTERLi4u6Nmzp0rxTJ8+ndzDCgCTJk3CmTNnGuyQ\n/8SJEylTfGFhYTh27FiDyMJR98ybNw9//vkncU+fPh2nTp2Curp6A0rFwfFxcOrUKURFRcHV1RXj\nxo1T2eRlU+LjzVkDUVBQQC68NjExwf79+zFnzhzs3r0bK1asUBomKyuLZV4vKyuLMrOVk5ODjIwM\nYk2jqKgIr1+/hlz+7iJnhmGQkpKCp0+fVnonF8MwePXqFeLj44mf3NxcvH37FlVd15qXl0cuwQXe\nmbVMTU2lrDRkZ2dT8irGK5fLkZaWRllJKikpQWpqapXWEsr9VDQ3WRvy8/OpPCjCMAweP36M6Oho\nIg/DMHj79i11RCItLQ1Xrlwh9ZWcnIxLly6RsmAYBjExMTh9+rRSKxbnz5+n4isoKMC+fftImVY0\niZaamop//vmH+GcYBs+fP0diYiJevnxJxZuZmYmMjAwUFhbi7t27pJwZhkFGRgbLPGh1FBYWIi0t\njZQXwzDETGU5b968waVLl5Cdnc0yP1feBxSRyWR4/fp1lffepaSkIDY2lrRtZZSUlODVq1eVtguG\nYZCUlISEhIQq46kJycnJuHbtGilDqVSKf/75h7KolZubi/v375P6Ky0tZbVtxT5b7ud979ArKirC\n3bt3icUZZXWVlpaGR48eVVpeZWVlrD5dMQ8VzRMD7+o3JSUFDMMgPT2dSkuRt2/f4urVqypZVFGW\nB6lUyiqv8nxVrOPMzEzSP8v7zPPnz0l7zM/PR2JiIqmL8rQqWuwprytFM7cVdUhFXQ/UTJ+Vl1dF\n85GKul1Z3uuCgoIC3L17l2W6sjqSk5MRGRlJ9FBZWRmuXr2K+Ph4AO/6dGxsbL3doa1sLKlKh5S3\nk3JLQTVpozWlXC9WplOUjRmKugGgdedPP/2EadOm4cCBA1i2bBnCw8NRXFyMZcuWYe7cucjIyHhv\nuRsT3EpnHbJmzRrs378fpaWlcHBwgL+/P1auXEn+HxgYiM2bNxM3wzAIDw/HtWvXAACdO3fGhg0b\n8NVXX+HKlStgGAYdO3aEvr4+oqKiIJfL0apVK/To0QNbtmxBYWEhLCwssGXLFowfPx5xcXGQy+XQ\n19fHrl270K5dO5JWUVERAgMD8eTJE2L5wMvLi0yyWrRogZ9//hlisZjK09KlS4l1IRcXFyxatAgR\nERFIT0+HtrY2Zs+ejXPnzuHSpUtgGAaenp4wNTXFqVOnUFZWhpYtW2L16tUYN24ckpKSoKamhvHj\nx8PGxgZLly5Fbm4ujI2N8b///Y9lSuv48eNYsWIFcnNzYWJigp9++gnNmjVTuV5WrlyJQ4cOQSqV\nonnz5ti9eze1QlNUVIR27dqRSYVIJMKRI0fw/fff4+HDhxAKhejTpw8ePnxIXZRc0eQlj8fDtm3b\nMHnyZEoZHjhwAF5eXlQYRaKjo9GrVy+kpaVBW1sbs2bNwq+//krMufF4PEyePBkHDhwgZgmFQrrr\n5ubm4siRI1i+fDnKysogFArxzTff4Pz587h79y74fD569OiBlStXVvu18KZNm7B7924UFxfDzs4O\n27ZtQ3h4OJ4+fQqRSISBAwciISEBJ06cIGEU7fu+fPkSWVlZ1HGSlJQUjB07Fq9fv4aGhgamTp2K\noUOHkv8zDINevXrh0aNHYBgGenp65KqWihw/fhzLly8ntsAV20V+fj4CAgKI6UBjY2OcPn1aZfvL\ncrkcvXr1wsOHDwG8q4c+ffrg5MmTZNBxcHCAn58fdu/eDZlMBrFYjIkTJ+Lo0aPIycmBoaEh1q9f\njzt37pA+a2lpiQULFmD27NnIysqCoaEh1qxZgzZt2qgkHwBERkZi+vTpkEqlEAqFCA8Px/Xr10ld\nDRo0CDdu3EB0dDSxHHLx4kWYmJiQOOLi4hAWFoY3b95AR0cHCxYsgEgkwqJFi5CTkwMjIyOYmZlR\n6err60NbWxtDhgxBfHw8RCIRhgwZglmzZlH+xo8fj1OnTpEJg5+fH/bs2VPlSk5hYSE+//xzKl5/\nf3/MmDEDWVlZ0NfXxw8//IAVK1bg5s2bYBgGWlpauHjxIhYuXIgbN26Ax+OhS5cuuH79OrEgZWFh\ngbCwMHz33XfEipqrqyu0tLQQHx8PoVCIfv36wdXVFWvWrEFhYSHMzMywc+dO7Ny5k9KDnp6e+P33\n34muHzduHFauXEnKa+PGjXBzc6PyVVBQgFGjRiEhIQFisRifffYZ0tPTiW53d3fHxo0bMW7cOMTF\nxZG+NmfOHJXbhSI7d+7EN998Q3TDokWLMGbMmGrDlVscKickJATbt28nk3EjIyNIpVLk5uaCx+Oh\ndevWOHbsWJ2t1M2fPx+nTp2CTCZDy5YtsXz5ckyYMAGpqanQ1NTE5MmTMXz4cOL/9u3bmDZtGjIz\nM6Gvr49FixZh06ZNePbsGUQiEYYPH17rD9d++ukn7Ny5E8XFxbCxscHu3bspvVdaWoqxY8fiwYMH\nEAqF6NWrF4RCIX7++WeiG9auXYsjR45Qu1SGhobUC+3Ro0dx9OhR8v9ffvkFgwYNwvr162sld2Oj\n0Vkkqo7GapHo2bNnCAoKolb7lPHy5UvSIfft24d58+aRNzKxWIwBAwbgyJEjZMVBIBBAIBAQP3w+\nH5qamtRbuaWlJVJSUqh0nJ2dcf78eeJeuHAhZasbeDeIllc/n89HWFgY5s6dS/4fExOD4cOHU2mZ\nm5sjNTWVuI2NjZGXl0fe4gQCAfh8Pik7Pp+PZs2aUbbGTU1Noa6uTuzUA0CnTp1w7do1Uu4ymQx+\nfn5ISEggfjp37ow//vijyvJV5PHjxxg0aBC10vfFF19g2bJlxD1y5EhcuHCBCqehoYHi4mIyuajM\n/m51iMViapXok08+IZOYyjAxMaFsXtcUkUhEtVmhUAiGYcgAoaGhgc2bN1Nb+YrtPSUlBX379qXS\nd3BwoOpBQ0ODWrGujGbNmuHSpUvErVjOtra2OHfuHHkB+N///gdFq7ytW7emJrc1aRcRERGIjIyk\n4vHy8sKBAweqlbkiW7Zswbffflutv3LzlZW53d3dkZGRQfVRbW1tql+1adMGx48fV0k+AGjevDlV\nF4ppK7OmolgvAwYMwI0bN6j/8/l8qs+2bt0ampqaSEpKgoaGBqZPn47Lly9jz549xI+enh4iIyPh\n7OwMAHj06BE++eQT1or38uXLMXr06ErzVL4zVDFeY2NjSh4bGxu8fPmSitvIyAg5OTlV6m2xWEx0\nqTK0tLSgoaFBtX8PDw88fPiQCqempkatXCnWZ7t27VjHS2bMmIH9+/dTaZWVlVG6s1WrVoiJiSF+\ndHV1cejQIbi6utbaMo5cLkfz5s0pedXU1BAfH1/lC+iTJ0/QvXt3ldNbsmQJxo8fT9y1HVOvXLmC\nMWPGkJVZPp8PGxsbatywtrbG2bNnyY0wvXv3pu6B1dPTQ3Z2NnEbGBjg8OHDKhkjUFdXR0JCAvr2\n7UteYAD2ItKKFSuwefNm0v/U1dVRWlpKrZa/j3WjmJgYlV6cG6tFIm57vY5ITk6udsIJvFtFCg4O\nxs8//4zHjx9Tiqy0tBSPHj2iJjcymYzyI5fLWY1W2bZBRkYG3Nzc0KxZM2zdupU1KQVAKWy5XI6X\nL1/i7Nmz6NGjB8aPH4/Hjx9TihQAa2umoKCAUmYymYxq4HK5nHV0QHErC3i3dSWTyTB37lz06NED\nq1evZqWVn5+PGzduwMbGBpaWlvj6668BAGfOnMGcOXNw7tw5AO86p4ODA+zt7REZGcnaWlbcmi5f\nEatIxQkngFpNOIF3W1Fv3rzBpEmTMGHChBpNJhXLpqYoKhaZTEYpvMLCQkRHRyMyMpJMj5SKAAAg\nAElEQVQMbAzDICQkBK6urhg2bBju3r3LascVlXZ5PDXh7du3SEtLQ2RkJG7fvk1tOQHv8rl37164\nuLjAxcWFOjNYTvmW7NOnT3Ho0CE8fPiQlX5+fj4KCwtx4sQJnD17Vmlbz8jIwL59+9CpUycMHDgQ\nGRkZSE1NpcoCAP744w907twZQUFBuHXrVo3yqbjVpujOyclhlaFiXeXm5uLevXvw9/dHmzZtsHfv\nXgDv2vbIkSPJCvaff/4JGxsbWFtbY/Xq1aytXMW0lQ1wOTk5CA8Ph5OTE/r27cvqnzk5Oay+V1xc\njFWrVhH72/fv32cdqcjOzkZMTAy+/PJLhIaG4saNG0qPWNy5cwdfffUVAgICcPDgQaSkpKBNmzaw\ntbXFmDFjWAsL2dnZrD6clZXFijs7O7vawbWqCSfwri0p6tOEhARWuIo6D2Drh8LCQiQlJeHQoUN4\n9OgRALDKKz8/n6U7Ff3k5OTg8OHDGDBgAEaMGIEHDx4AeDex8/f3JwsJFy9eRKdOndCrVy9kZ2cj\nNTUVISEhCAkJQVJSEqudSKVSFBYWYt68efD09MTMmTORmZmJoUOHwtraGi1atEB0dHSVZVUZ9+/f\nx7Jly+Dk5ARvb28kJSWRl9m+ffsiKSkJDMMgNDQU1tbWaNu2LTnK8/3332PYsGGIiopCdHQ01Q7L\nt9UVy/DixYs4fPgw6/gWwNZdmZmZePnyJV69eoVRo0ahT58+uHz5MlJSUtCpUyfY29tj2rRpAIAF\nCxbA0tISZmZmuHHjBqufZGRkYP369bC2toaDgwNiYmKo/ldUVMQ6zlLbcQRArRYiGiPcSqcCtXk7\nkMvltTINpvh2XJ/o6OiwBn1FFN/CKq6EVvasupWDmiIWiyESiSglo7hqY2RkhLdv31LhhEIhUag8\nHg8eHh7kDsCquH//Ptm2nTlzJvbt2/feeagMgUDw3mdS6wpDQ0NkZGRAW1sbwcHB+PXXX1U+41VT\nOnbsiNTUVLI6VlRUVOXZYWV07twZvXv3xrp165CRkQEjIyPk5uZSba5Zs2ZQU1PDw4cPIRAIYGlp\nyXqRUNbXTE1NyZGG4cOHIykpidr2amiUtXdVUVyRqymKq9nK2rCmpibVdsRiMaRSKaljZfoDYPfr\njxFTU1Pw+XykpqZCX18fY8eOJccrytHX12dNZKqDx+NBLBZTk5fydqzor7p60NLSqvNzowKBAFpa\nWtWeIVfclQHYq5I1TU9NTQ0FBQWwsbFBSkpKtbrW09MTt27dUlkXNTRPnz6FhoZGjf031pVObtKp\nQG0q6ueff8b8+fPrVS6OusXb2xu//fYbgHeTo+Tk5AaW6MNjYGBQo9X52lI+wX0fPDw8kJeXRz5a\nUIbiJEbZwFwdygbuj4HKJhwc9Ytim1T20q9s4tVU0dTUhEAgwKhRo7Bp06aGFuejZMuWLejfv3+N\n/TfWSSe3vV4H/BcnLE2dim/itT1j09R5n62emlAXik4mk1X5NbAyGIaBmpqaSmE+lsGfo3GgONFX\n1oY/ppeBuLg4PH78GAMHDmxoUT5aFG+QaKpwk846IDw8vE7iaYp3c6my3F8VAoGAdai9/KOpcmpi\nPlTx6/vKqLgyPXXq1BpK2fSp+NV7q1atah1PTexlf/7559DR0VEpXpFIRPqBuro6vL294eHhQeQW\niUSQSCRUmObNm1NfVzs4OKBt27bkzlKJRAKRSMRKq2JbcXFxgaGhoUqyNkZ4PB4pK7FYzPqCuqYo\nGraoLC09PT3iVmYMQLGd/FfsrJd/LAm8023t2rWj2huPx8PYsWMbSrw6peLNEap8oKNIbdpGxXuJ\na6pratK2GyMfi0GFpjfLaYTo6+tTVxwA765PioqKop6VfwQgkUhga2uLW7duwcfHBxKJBLq6ujh3\n7hxOnjxJhTl69CjWrVtHOqStrS1mzJhB3I6Ojvj333+pQZXH4yEgIIC4dXR08ODBA4wcORIaGhrQ\n1NTErFmzcPXqVdJptbW1kZiYCHd3d/B4PIhEIvz+++/Ucr6/vz+uXr0KU1NTSCQSuLq64s6dO1i+\nfDk0NDQgEAjg4OBATcL5fD7u3r2LHj16kGetW7fG/v37oaOjAz6fD319fdy5cwf37t2DpqYmeDwe\njI2NcfnyZSxevBh9+vTBuHHjEBMTgxYtWlD5vHfvHrp27QozMzN4e3vj0aNH8PDwIH6sra3xyy+/\nkIFYIBBg27Zt6Nq1K/EzZswYfPXVV1S8Fy9epCZoHTp0wIgRI4hbU1OT+sIWAObOnYuRI0dSz2Ji\nYrB06VJoaGhAXV0dkyZNgiL379+n0lq3bh31lWKbNm2wdOlSKkzPnj0pP97e3tQX+Xw+Hw8ePICV\nlRV5FhERgeXLl5Py3Lt3L6Kjo8lgyOfzMXPmTPj4+FDxXL58mZJv0KBBuH79OiwsLCCRSNCsWTOW\ndRoNDQ18/vnnWLJkCfr06YMvvvgCFy5cgI6ODng8HvT19XH9+nVqomJpaYnHjx8jJCQEffr0wZw5\nczBnzhysW7cOkydPRu/evTF9+nTcvHkTrVu3hpmZGfr27YszZ85g27Zt6Nu3LwYMGIDffvsNu3bt\nQlhYGHr37o3Zs2dTZcHj8fDNN99g2bJl6NOnD8aOHYvdu3cjOjoadnZ2xM+cOXNw5swZMgkWCoVY\ns2YNlc+goCBs2bKFuLW1tXHlyhXqBfLnn3/GkCFDqD6bmppKVmNFIhGOHTuGvn37kjBmZmaIi4tD\n+/btIZFIYGBggKioKJiamhI/6urquH79OilTPT09PHjwgJTV1KlTcerUKYSEhJC0W7VqhVu3blHy\nffXVVxgzZgzU1NSgoaGBNWvW4NatW3B2doZEIoGZmRmuXLmCwYMHkzBqamqIjY3FqlWr0KdPH4wY\nMQJnz57FvHnzoKamBnV1dSxevBiPHj2CtrY2eDwedHV18eTJE6xatQpqamrg8/mws7PDqFGjSLw8\nHg+HDh3C999/T2Q0NzfH2rVrqXJX1LcA++X/u+++o9xCoZB8iFPO/v37qUlIWFgY61zvqVOnyIXd\nfD4f48ePp/oa8O46HXd3d5iZmSEwMBDXr1/HrFmz0Lt3b4SGhmLPnj1E/5ubm2PhwoVYtGgRdu3a\nRZXphQsXqFX6adOmwcPDAwKBACKRCCNGjMCtW7egoaFB9GRSUhLc3d1JmCVLlmDevHlQV1eHuro6\nFixYgOjoaJJPoVCI06dP48aNG+QFTiwWs25qCA0Npdob8O7qpYrY2tpSNyEIhUI8evSIejEMDw/H\nggULSPl9+eWX1BfmADB58mRcv34dBgYGkEgk8PDwIB+KluPp6Um9XJqZmeHhw4cYPXo0+vTpg6VL\nl7I+EtXS0sK6desgFovB5/PRsmVLREdHY+7cueQFt3Pnzpg4cSIJIxAIcOfOHaqPdO3aFd9//z0V\nd1RUFJXPjh07Yv78+SScSCTCwoULqTCbN2/GJ598Qj1TvMmh/PaHivzxxx81XlBp7HBnOhX4kOcg\n6oP3uZKhIeHKvWGoq3IfPHgwuW8WeHeVVlRUFHUfZF3zXy/zhoIr94aBK/eGgSv36uHOdHJwcHxQ\nwsPDYW5uDuCdkvbz86vXCScHBwcHR9ODs0jEwcHx3vj5+eG3335DVFQUmjVrxtpC4uDg4ODg4Cad\nHBwcdYKjo+N7fUjAwcHBwfFxw22vc3BwcHBwcHA0Eu7cuYPw8HDMmjWrXu9Sbgi4SSdHlZSUlCA+\nPl5lyxn/FaRSKZ49e6ay5ZiMjAw8e/asURysT0tLw549e6q1CV8RmUyG58+ffzSm2RoLubm5iI+P\nf+8PF9LT0/H8+XOVLWHl5OQgPj6eWDHKzs5GfHw8udO1qKgIcXFx1Vo3qw/KysqQkJBATKPWlNTU\nVLx48UIlK0ivXr2qNky50YKm+JHJf5309HT8+uuvKum8mlBaWlqr8bJiW7p58ybGjx+Pw4cPY+/e\nvRg2bFidW45qSLjtdY5KSUxMxLhx4/Dq1Stoa2sjNDT0o7lbri7IzMzEiBEj8OLFC2hoaGDYsGGY\nOXNmteF++OEH7N+/H0VFRbC1tcXevXuJSc4Pzfbt2zFv3jxyUXXr1q1x4sSJKsPk5eVh5MiRePr0\nKSQSCQIDA7F48eIPIO3HzR9//IEffvgBOTk5MDU1xaZNm6grwmrKokWLcOzYMZSUlKB58+bYu3dv\nje643b9/P9auXYvc3FyYmZkhICAAkZGRyMvLg4WFBWbPno1ly5YhLS0Nurq6mDFjBnWNUn2Sk5OD\nkSNH4tmzZ5BIJBg0aFC1VuAYhsHUqVNx4cIFlJWVoVWrVjhz5ky1Yb766itcvHgRMpkMLVu2xC+/\n/MK6G/avv/7C8uXLkZWVBWNjY6xZswbt2rV773xy1D87duygrjKqic6rCcnJyfjiiy+QkpICbW1t\nTJgwARMmTKg23NGjR7Fy5UpkZ2fDxMQEZmZmlI35R48e4e+//6auVGvKcFcmKcBd7/D/BAcH4+LF\ni8RtZWWFc+fO1WgAU5WmWO5hYWE4duwYcRsZGZG7+Crj5cuX6Nu3L7Uy2r9/f+quxw+JjY0NazXs\n0qVL1IXPisyYMQP79+8nbh0dHRw6dKjWF5HXlo/pKhOZTAZfX1/K6kiHDh1w+PBhleJ++PAhBg0a\nRNmZDw4OZt0xqEhpaSn8/Pzw4sUL8kwsFlM27hVNOdrb2+PixYvUBd31xZQpU3Dw4EHi1tPTw5Ej\nR9C8efNKw5w7dw4hISGkjfB4PMyaNQvTp0+vVMdERUUhLCyMrPTyeDyEh4dj9uzZxA/DMPDz86NM\ns3p4eOCvv/56rzxWx8fU3hsSVXVeTct95MiRuHDhAnFbWlrizJkz0NXVrTQMwzDw8fFBQkICeaZo\nnlggEGDnzp3UXdc1obFemdTkVjolEkm9Wu7h8XgoLCyESCSiLsRuKvD5fGIJ430pV7zlFBYWori4\nmLqUvK5oiuWuuOWRm5uL3NzcKss/JyeHtTWZn59fZ3WmKsq2D1NTU9GyZctKw2RnZ1Pu3NxcvHnz\n5oPnoS7b+odEWVvPzc1l9beSkhKV85eenk5NOIF39VVdPOV9uyKKA7OiKcfi4mLI5f/H3nnHRXH8\n//+11+84jqMKHlWKgCggiqgUsSLYW9RYohEbaoqaxGDD2COJBitqLERjTdRY4seGDdTQLBEBUTox\nGBDp7eb3B1/2x3IooCCg+3w87vFglpnZ9753Znbq+61skkFoTWrWmdzcXGRnZ7/2udLS0hidBUII\nnj59+to2Ji0tjaEHQggyMzMZ9ykrK2uUd9VQ3qfy3pzU1uY9e/bslW1effVes2NaUFCAoqIihkH7\n2tLULEu6urrQ0dFBfHw8uFwu3Nzc4O3t3eDBXUvTexUtR5J60tT+ovl8PuRyOQoKClrEqKyhNOZo\nuEOHDoiMjKQ/NgqFAnK5vElG261R7926dUNYWBjdaJiYmMDU1PS1+jE1NYWJiQkSEhIAVHohcXZ2\nbrYZDHV1dcYHnaIodOzY8bXyeHh44Pr163Sn29TUtM40TUFrnvmpWdb5fD4UCgUyMzMBVH7orKys\nGvx8nTp1gomJCT1jKZVK0atXrzrzEYvFMDAwwLNnzwBUzq7IZDJ6bxqPx4NCoUBiYiL90W7bti34\nfP47eQdubm64ceMGCgoKAFTOstalH09PTygUCqSnpwOo9Bw3fvx4lJWVvbKN8fT0RNu2bekVNU1N\nTfj4+Kjcx9jYGGlpaXTY3Ny8yfXwPpX35qS2Ns/Ozu6Vuq2v3u3t7REZGUk/o0KhgLa2dp1pDQ0N\n6fJGURRsbW2xYsUKnDlzBhoaGvD29masONSXd6l3TU3NesflLm9lm7FqjuIbGy6XCzU1NRQWFjZo\n43lLgc/nq8xIvCkeHh7Iy8sDn8+HjY0NtmzZ0mBf2vWlNeq9a9euqKioACEEVlZW+PHHH187qgUq\nlyzd3Nzw9OlT6OvrY8SIEfjss8+azSf11KlT8euvv6K4uBh8Ph8hISG1umGrjr29Pfh8PsrKymBm\nZobvv/8eJiYm70ji/09jlvV3yavK+oABA5CcnAxtbW14enpizZo1DZ7dkEgkcHZ2RkpKCtq2bYsJ\nEyZgypQpdaajKApeXl54+vQpdHR00KdPH/z0009ISkqCnp4evLy8sH37duTk5EBNTQ12dnbYsmXL\nO5t5c3R0BEVRKC8vR7t27bBhwwYYGRm9No2Ghgbs7OyQnp4OQ0NDzJo1C5988slr2xhNTU106NAB\nGRkZMDQ0xPTp0zFs2DCVeF5eXkhJSYGWlhbc3Nywfv36Jp9Net/Ke3MxceJEHDx4EKWlpRAIBNi/\nf/9r27z66t3NzQ35+fng8XiwtrbG5s2bIZfL60zn5eWF5ORkaGlpwcPDA+vWrYNUKoW9vT3at2//\nxiu771Lv6urq9Y7L7umsQUvbf9JQWvNomNX7u6c1653VefPA6r15YPXePLB6rxvWDSYLCwsLCwsL\nC0uLgu10srCwsLCwsLCwNDlsp5OFhYWFhYWFhaXJYTudLCwsLCwsLCwsTQ7b6WRhYWFhYalGSzhl\nzcLyPsJ2OllYWFhYWACEhYWhT58+6N69O4YPH87wDMPCwvL2sJ1OFhYWFpYPnvLycixatAiPHj1C\nWloa7ty5gy+++KK5xWJhea9gO50sTUJRURHu3r1LewNhYWFhacnk5OQgNzeXce358+fvXI5///0X\nMTExKq4/q0MIwePHj/HgwYN6G4z/77//EBMTQ3uZ+pBITEzEgwcPWqWd0PcNttPJ0uikpaXBx8cH\nI0aMgI+PD9atW9fcIrGwsLC8Fi0tLWhpaTGuKRSKdyrDL7/8Am9vb4wYMQLe3t7466+/VOIQQjB7\n9mwMGTIEw4cPx8iRI1FYWPjafE+cOEHn6+Pjg9DQ0CZ6gpYFIQRz587F4MGDMXz4cIwYMYJ238vS\nPLCdTpZGZ/HixYiLi0NxcTGysrJw6NAh2qc0CwsLS0uEy+UiKCgInTt3hpWVFfr06YPAwMB3dv+K\nigps27YNmZmZKCkpwdOnT/Hdd9+pxLt06RLOnz+P3NxcFBYWIiIios6B/aZNm5CWloaSkhIkJydj\n7dq1TfUYLYqbN2/i7NmztK6ioqKwatWq5hbrg6ZpncWyfJDUdBlWUFCAnJwcGBgYNJNELCwsLHXT\noUMH/PHHH81y75KSEpSUlKhcq0l6errK9aysrFfmq1QqUVxcXGe+7yMZGRkqz84eDmte2JlOlkan\nR48eEIvFdNjExATm5ubNKBELCwtLy0YikcDU1JQO83g8dOzYUSVe//79YWxsTIe1tLQwYsSIV+bL\n4XBgYWFBhymKQvv27RtH6BZOr169YGJiQoc1NTUxdOjQZpSIhbt8+fLlzS1EQ8jLy2vS/LlcLtTU\n1FBYWNgqbbXx+fx6byxvKrp16wYOhwMOhwNbW1ts2bIFGhoar03D6r15aM16Z3XePLB6bzoGDhyI\nf/75B9ra2vDy8sKKFSvA4VTODVXpXV1dHc7OzsjMzISxsTHmzp0Lb2/vOvPNysqCpqYmPD09sW7d\nOnC53HfxSM2qdzU1NfTo0QPp6ekwNjbGrFmzGtzpZMt73airq9c7LkUIIU0oS6OTkZHRpPnz+Xzo\n6uoiKyurVZ50E4vFKsvbrQFW781Da9Y7q/PmgdV788DqvXlg9V43bdu2rXdcdnmdhYWFhYWFhYWl\nyWE7nSwsLCwsLCwsLE0O2+lkYWFhYWH5wNi9ezd8fHwwaNAgHD58uLnFYflAYE0msbCwsLCwfEBc\nvHgRP/zwA168eAEASElJgYWFBZycnJpZMpb3HXamk4WFhYWF5QPi/PnzdIcTqHSRefHixWaUiKWo\nqEjllHxBQQFa2VnvOmE7nSwsLCwsLB8Qtra2EAgEdFgikcDGxqYZJfpwKS0txaRJk+Du7g53d3cE\nBQUhNTUVXl5e8PDwgKenJ27cuNHcYjYaLWJ5PTc3F7///jsKCgoAAE5OTnBxcWlmqVhYmoaioiKs\nWLEC6enpcHBwwOeff07b4mNhYWFpaiZPnoyIiAjcvn0bFEXB09MTgwcPbm6xPkjWrl2Ly5cv0zOa\nwcHB+PPPP3H//n06zuLFi3HlyhVQFNVcYjYaLeJLx+FwMGDAAPj5+WHatGn466+/XuvWq6Vy4cIF\neHh4wMfHBwkJCUhNTUXv3r1hbGyMcePGAQC2bNkCGxsbdOrUCefOnUN6ejrGjx+P8ePH49mzZwCA\n/Px8bNu2DcuWLcPjx48RGxuLPn36wNPTE/fv3wchBLt378agQYPw448/AgAePHgAb29vuLi44MaN\nG8jNzYWzszNMTU1pP7vp6ek4cuQITp06hezsbKSkpGDmzJnw8fHB7t27QQjBrVu3MHLkSMycORP5\n+fnIy8tDYGAg+vXrB39/f5SWluLOnTuYNWsWli1bhpcvXyIvLw+rVq3C9OnTcefOHfpey5cvx48/\n/ojCwkI8fvwY48ePh4+PD65evYqKigrMnz8f3bp1w5IlS1BaWor4+HisX78eX375Jf7880/k5+dj\n9uzZ6NevH/bu3Yvi4mKkp6dj586dOHfuHJRKJQghePDgAcLCwmhbaufPn4e9vT2cnZ3x6NEjlJeX\nY/r06bC1tcXkyZPx8uVLlJSU4Pbt24iOjoZSqURmZib69u0LR0dH2g3ejh07YGRkhHbt2iE2NhYv\nXryAl5cXzMzMMHnyZBBCsGnTJhgbG8PS0hIvXrxARkYGFAoFFAoFOnToAEIIfvzxRwwZMgTbt29H\naWkpRo0ahf379+PSpUsIDAzEkiVL0LdvXxgaGqJ///7477//cOHCBQwbNgwDBgzAiRMnUFpaip9+\n+gm9evXChAkT8PTpUzx69Ajdu3dHt27dEBMTA6VSibFjx8LU1BRDhgxBeXk5njx5gvnz52PBggV4\n+vQpAODcuXOYMWMGNm3ahNzcXISEhGD+/Pm4devWK8t2ZGQkBgwYgNGjR+P58+coLCxEWFgYHjx4\nQDeWoaGh6NOnDyZMmID8/HwolUqEh4dj9+7diIyMRGlpKVauXAkHBweMHz8e2dnZeP78ORYsWIBB\ngwYhMDCQseRXhVKpRFRUFO7cuYPS0lIAQHFxMcLCwnD37l0QQhAbGwtfX19MmTIF0dHRACpt+l6/\nfh2ZmZm1PpNSqcTWrVvx7bff0rp58eIFVq9ejTVr1iAnJweEECxZsgT29vaYNGkSCgoK8PjxY8yc\nORPffPMNcnNzAQCffvop7OzsEBAQAKDSzeChQ4ewb98+ejAdExODrVu3IjIyEgAQFBQEJycnzJw5\nE4QQ3L9/H59++ikCAgJQWlqKwsJCBAcHY+rUqTh58iQAYP/+/bCysoK1tTX27NmD0tJSrF69Gk5O\nTliwYAEAICcnB0eOHMHhw4eRk5MDpVKJI0eO4JtvvsHt27cBVPr53rdvH/z9/REVFYWCggLMnj0b\n9vb2mDt3LkpKSrBy5UrY2NjA29sbRUVF+PfffzFp0iR07twZO3bsACEE165dw9KlS3H06FG6/t29\nexdfffUVDhw4AEIIevfuDSMjI4wdOxYlJSXIy8vD/v37ERAQgIiICBBCEBUVhd27dyM8PBxKpRK3\nbt2Cubk5TE1NsWfPHhBCMGnSJJiYmMDV1RU5OTnYsmULXdf69esHpVKJMWPGwMbGBgsXLkR+fj5O\nnDgBIyMjKBQKLFmyBEqlEvPmzYOpqSk6d+6MzMxMPHnyBGPHjsUnn3yCrKws5ObmYt68eejbty92\n7doFADh48CAcHBzg5eWFvLw8ZGVlwcvLCw4ODjh69CgAIDo6GosWLUJISAjKy8uRkZGB9evXIzAw\nEOnp6QCA5ORkXL9+Hc+fP6ffQ3BwMPz9/REXFwdCCA4ePIhRo0ZhyZIlePnyJQghCAsLw+bNm/Hw\n4UMAlYeAvL29sWXLFgDA06dP0bNnT9jZ2eHkyZMoKyvDgQMHMGXKFISEhNBt++zZs/Hpp5/i1q1b\nWLVqFXr37g1DQ0N6L6dSqcRnn30GDw8PHDx4EBkZGejYsSMUCgVsbGyQm5uLjRs3wsrKCi4uLsjK\nylJpS4FK//BeXl4YP3480tPTQQjB0qVLMXz4cBw8eBBFRUX46aef4OLigmnTpqGwsBD//fcfPvvs\nM4waNQrXrl0DAISEhMDDwwNffPEFlEolCgsLMW7cOPTt25f+1hw7dgxDhgzBypUrUVpaihs3bsDC\nwgLm5uaIiIhAfn4+pk+fjp49e2LVqlUoKCjA3bt3MXLkSPj6+iIvLw/FxcVwd3eHQqGAvb094uLi\nMHv2bBgaGqJNmzb0N+Gjjz6ClZUV/P39QQiBv78/zMzMYGNjgyNHjuDly5fw9PSEhYUFvvvuO5SW\nlmL27NkwMzODk5MT4uLicO/ePZiamkKhUGD48OGIjY1lLKFnZ2cjPj6e0VY9e/YMhYWFtbZjrY0W\naRz+119/Rbdu3dCuXTuV/7VU4/ATJ07E5cuX3/r+Bw8exKeffvpaY7QaGhr0xw6o9DxQUVHx2nzV\n1NRAURTy8/MBVHoQqOndSSAQ0B/1KkQikYrv2upQFAUOh8O4v4uLC27fvk1XpPrIB1QOPl7nOUEm\nk6GoqIh+LxYWFujQoQMuXryI4uJiWFtbw9TUFGfOnKnzXra2tkhISACXy4WNjQ3dUalCTU2N7iw0\nJrXp+F1iYmKC5OTkV/5/zJgx9ECmij179mDx4sUq+aSlpUEkEmHAgAGQy+X4+eefGXGqlwOKouq1\nN0kgEODs2bP0Ul95eTkmTZqEW7duQalUwt7eHsHBwZgyZQr+/vtvCAQCtG3bFo8fP2bk4+rqisTE\nRGRmZsLAwACLFy/GsGHD6P9XVFTAxsaG8Y5XrlyJZcuW0WW1ymPL68pubc8lFoshEomQk5MDAJBK\npfDx8cHRo0ehVCrB4XAgFotfW764XC4kEgmjjtanHnE4HMhkMrrzLpPJIBKJ8Kr//wwAACAASURB\nVO+//9Jxhg4diuvXr7+1D2o+n89oIw0MDDB27FiV8lOTmm2PQqFARkYGXU6MjY1fW0ZbIgYGBozB\njbq6OgoKCuj2jMfjwcfHB2FhYXj+/DmMjIywdu1aTJ8+nW6Tq9JV1w2Hw4GzszNdj2orOxKJRKVD\nUvPd1AzXRtu2bZGZmdngPYTV21JXV1cQQnDp0iVGnPrW/+rUfK7a8tDR0aE78O87H330EX744Yd6\nx2+pxuFbXKczJycHe/fuxezZs1FSUsKokEDl/gc1NbUmuz+Px4OmpiZycnLq7foqPz+/1g4yS9NT\nn8aUpf5wOBxkZmYylnH09PRem6axPXZ07dqVHjgcOHAACxYsYHS27Ozs8ODBgwblaWtri9DQUDq8\natUqbNq0qVHkrQ9v8tFleb+oOWh4HztMPB6vVbqMbC2Eh4fD3Ny8XnHfpC/zpujq6tY7bovY01lF\nSUkJjhw5Ai8vLwiFQoSFheHq1auMOFUba5saTU3NesdlK1nzwXY4GxelUom1a9di06ZNIISgc+fO\ndaZpbBdx2dnZCAgIQMeOHVFQUKAyu/cmM9Dl5eXYtWsXDh06BHt7+3c+28x2OFlqloH3se1iv4VN\nC0VRDergAQ3ry7wLWsxMZ0VFBQ4ePAgLCwt0794dAPDy5ctWMdOpVCqhr6/fZDKx1I5QKIRUKsV/\n//3X4LTVtw2ws1ANp7rOrKysVPYgvQ1VM6cCgQCenp6IjY1FSkoKAEBfXx+DBw/G7t27X7sV41V5\nVqGlpfXWy8ssLA2h+kynUCiEtrZ2k28Xexew7ee7gcfjITExEWKxuN7x2ZnOV0AIwcmTJ6Grq0t3\nOIHK/UgymYwRNyMj452MEMvLy+t9n6rN+SyNS82lGrlcDnd3d4SFhUEsFmP79u2YPn36G+UtlUrh\n5uYGLpeLmzdvquxvfV9wdHTE3bt3AVTuu0lLS2uUfEUiEVxdXSEUCrF06VI4Ozs3Sr4ymQwvX74E\nUDnArDp8ExwcDKVSCV9fX+zYsaNBHU5AdTaW7XCyNDbGxsbIzMyEUCjE+PHjERwczPh/RUUFJk6c\niIyMDDg4OGDjxo3NJGnjwnY43w3l5eXg8XgN7v80pC/zLmgRnc6UlBTcu3cPbdq0wfbt2wEAffr0\ngaWlZTNLVj9YczdNg1QqZZxmFovF2LBhA2Omm8/nv1HeEokEe/fuBVC5R/B9ZePGjbCwsAAA/PDD\nDwgMDGyUfMViMa2/xkQul9OdTqByFsXa2ppxSKnmx5yFpSWwdetWODo6AgB9or06HA6HtiQC4L3p\ndLKwNIQW0VsyMTHB8uXLMWvWLMycORMzZ85sNR1OAOjSpUu941Y/oGFoaPhG95NIJG+UrjUhl8sx\ndepUaGtrA6icWXN3d1fZWvHZZ5+Bx2v42Gn37t303yEhIW8nbAum+qZzPz+/OuOrq6vXK98JEyY0\nSA51dfVa63T1AZuGhgbmzp1Lv3OhUIiePXtCLpcz0vj5+dGnJblcLjp06KAy8Ktu+JrD4cDU1JTx\nfwMDA5UTl01lA4/D4TDk4fP50NLSapJ71UbN+uHo6Ahra2s6bGBg0CT3epN62Zrp1KkT/feQIUMg\nEokY/+/RowcjPGrUqHciV1PTpUsXenlVIBAw9MDSeCxbtqy5RWgUWkSns7VDURSSkpKgoaEBoPIj\nc+TIETx9+pSeiRMIBEhKSsKyZcvQsWNHTJw4Ebdu3UJoaCiEQiEoikKvXr1w5MgRumOlpaWFO3fu\nwNfXF1paWtDX18c333yDqKgo+Pv7o2fPnhg3bhz+/PNPxmydra0t/vjjD/pDbGJigidPnmD16tXQ\n0NCAXC5HUFAQEhIS0K5dO/B4PLRr1w4xMTGYOnUqBAIBJBIJdu7ciZiYGCgUCojFYowfPx7Xrl2j\nPyZCoRDLli1DdHQ02rRpA7FYDD8/P6SlpcHY2JiW5/Tp0/j9998hFovB4XDg4OCAuLg49O7dG3w+\nH3K5HEePHkVISAhcXFwwePBgnDt3DvPnz0dwcDBmzJiBdevW1TpLN2bMGPzyyy/o0qULevfujYiI\nCPj6+tLv5euvv8atW7fozpRAIMD//vc/2Nra0nk4Ojri5MmTtIkcBwcHJCcnMzohbm5uiIiIYNz7\nwYMH0NHRocMBAQH45ZdfGHHi4+OxcOFC6OjowN7eHomJiSqNcs1ZkTVr1mDPnj10WF1dHTdu3IC5\nuTl4PB7MzMxw6dIlRkcGqLQVWYVUKkVKSgrjGYRCIWJjYyEUCul8w8PDMWPGDHTr1g3ffPMN7t27\nRxurpygKTk5OePjwIby9vSEQCKChoYGtW7fi66+/Ztw7PT2dMRg6duwYDh06BEdHR9qmXmhoKEaO\nHAmxWAwTExMkJCRgz549cHBwwIABA3Dnzh2MHz8eu3btot95bSfMnZ2d8csvv2DevHlYunQpzpw5\ng+PHj8PKygqGhoZYvXo1IiMjMWzYMHTu3BmBgYG4ceMGli1bBnt7e0yYMAE3b97E0aNH8emnn8Ld\n3R1z5sxBaGgofXCKy+UiMDAQiYmJMDQ0hEgkwtixY5Genk7PZlEUhUOHDqmYikpJSUH//v0hFoth\nYWGBu3fv4vDhw+jTpw88PDxw4MABZGZmYujQobTJsZkzZ2LdunUQCAQQCARYvXo1jh07Rndc2rZt\ni+TkZAwZMoRRLp48eUJ3yqVSKe7fv4/x48eDx+NBKpXi4sWLuHz5Mjp16gQDAwPMnTsXJ06cwPHj\nxzF//nx8/vnnOH/+PH777TfI5XLw+Xx4eHggIiICffv2BVDZni1duhSJiYnQ09MDRVFo06YNHjx4\ngPXr19N2akNCQvDHH3+gT58+cHV1xYEDB1SsDBw8eBB79+6FkZERjI2NcfjwYVy6dAkaGhrg8Xi0\n9xV7e3s6zZgxY2BmZsbIp+a2q9qwt7eHv78/Ha4yV1Z9EBMQEMAwij5t2jTs37+fDovFYiQnJzM6\niJ6enrh37x7jPSQlJdHtB1BZ1+7fvw8nJyfo6upi9uzZOHz4MEO+H374AYsXL4ZQKASXy4WzszPO\nnj1LD7p4PB7u3LmDcePGgaIo8Pl8/P7773jw4AE0NDTA5XLRt29fpKamws3Njc63e/fuuH37Nn2A\nhM/n49SpU+jZsycdp2/fvnj8+DFMTU3B5XJhYWGB6Oho+Pj4gM/nQyaTYdeuXSpl++eff2ZMlsyb\nNw8nT56k6+yaNWtw9uxZ7Ny5EyKRCHw+H/Pnz6dtagKVg8udO3cy8lVXV8f69euhpaUFiUSC5cuX\nIy0tjW6rgMrvSNVKKFB5qHj//v2MAee+ffsY1jb09PRUzOEFBARgxIgRdBs3cOBALFu2jM5HX19f\nxQOQmZmZyqC0W7dujIFVx44d8cknnzDiPHjwgO6QUxSFs2fPMiapunfvjh07djDSjBkzRmXf5qef\nfvrGW8laGi3mIFF9aal2OlsKjW2+5l3R0vROCMGqVatw7do1cDgcTJs27bUzE82h92vXriEwMBDl\n5eVwcXHB4sWLGzxb19L03hCaQ+dVBqH/+usv8Hg8zJs3DwMHDmxQHq1Z58Db633Hjh347bffAFTa\nDJ09e3adaQYPHoyoqCg6bGJiguvXr9MdvfDwcEyYMIFhU3jcuHHYsGEDHf7Q9V4fUlNT8fnnn+PF\nixcwMDDA5s2bVVYaGsqr9H7w4EEcPHgQADBixAhMnTr1re7TVIjFYjx69AiDBg1i7AX38vJirJg1\nFmVlZfjyyy8RGxsLkUj0xnvmW6qdzg9r/YOFpZ7s378f+/bto40Tr1y5Ep06dYKVlVUzS/b/qfLV\ny/Lu+Omnn/Drr7/SJpeWLl2KTp06QaFQNLNkrYPQ0FDaExZQ2clp3749+vTp89p03377LebPn4+0\ntDTo6OjA19eXMbPo4uKCgQMH0o4ibGxsVBwasNTNjBkz6IOHjx49wpw5c1RWbxqLKk98rQETExOM\nGDECx48fp+1yr1ixoknuFRAQgBMnTtCHJb/88kucO3eu3lufWjpsp5OFpRZu3brF8IaRlZWFsLCw\nenU6lUolnj9/DnV19Xqbt2BpHcTExDBsfGZkZODevXtsp7OehIaGMryp5ebm4sqVK3V2Ort3747T\np0/j8ePHtOvL6lAUhaCgIDx69AiFhYXo0KGDyp5KltdTWlqqYqz+VS5kP0QCAgIwadIkZGdnw9bW\ntslMN8bHxzOsc/zzzz9ITk5+bw68sp1OFpZaaN++PcNkk0wmq9cG+f/++w+TJk1Ceno6xGIxZs+e\njYkTJza1uCzvCFNTU4ZdQm1t7RY1+93ScXBwYLg3lEgk9B7ZutDS0nrtMiNFUbT7VJaGIxAIVGbT\nqs4psFRibm5eb49Ab0qbNm0Y4YqKiia1Tf6uYQ8SsbDUwty5c+Ht7Q1DQ0OYmJhg2rRp9fLO89VX\nXyEmJgZZWVlISUnB5s2baR/cLK2fRYsWoW/fvjA0NISpqSn8/Pya/CP0PjF06FCMHj0axsbGMDIy\nwqhRozBixIjmFovl/1i3bh2sra3Rtm1bdOrUiTXr1Ax89tlnDFOApaWljL3JrR12ppOlToqKinD9\n+nXweDy4ubm9sW3M1gSXy8W2bdtQVlYGLpdbb1us1e2KVoVDQ0PB5/PRo0ePd2oqp4r79+8jKSkJ\nzs7OKqNoloYhEAiwd+9elJaWgsfjsTZ6GwhFUVi9ejW9gvC2ZpWio6ORlpaG7t27Q01NDdevX4dA\nIICrq+sHZ7KpMejSpQsuXbqEkpISxslxllcTHx+P2NhYODk5vbEZxOrk5+erHAh9E697LRW2VrK8\nlvz8fIwZMwb37t0DRVFwdnbGr7/+qmKu532loR1sOzs7RERE0B9VDoeDhQsXoqioCGZmZti7dy9t\nrP1dEBAQgF9//RV5eXkwMjJCUFAQunbt+s7u/77yoZT/pqIxOoSLFi3C8ePHUVBQACMjI4hEIiQk\nJIDL5cLFxQUHDhz4IAbITQHb4awfmzdvxo4dO5CdnQ0DAwOsWLEC3t7eb5Wnubk5jIyMkJiYCKCy\nrXFwcGgMcVsE7DCd5bVs3LgRd+/eBSEESqUSd+7cwaFDh5pbrBbLkiVLMH78eDg6OsLR0RGEENrM\nydOnT/Hdd9+9M1mys7Nx6tQp2sVnamoq1q1b987uz8LSVGRkZODs2bMoKCgAUFm2ExISAFTugQsP\nD8exY8eaU0SW95yKigocPHiQNqOUmZmJzZs3v3W+6urq2Lp1K7p3747OnTtj4sSJ+Oqrr94635YC\nO9PJ8lqqnzQFKk9m11xC/pCJiopCSEgI2rRpg3nz5kEikWDNmjUAgHv37mH48OGM+NV9yTc1RUVF\nKvbZGuqznIWlJVJYWMiwIlATtp16PyGEYO/evYiOjoabmxtGjx7dbLKUl5ertOcVFRWNkrednd17\nO2hiZzpZXsvUqVMZhl9NTEzeG/dtb8vNmzcxbdo0HDlyBEFBQRg7dizjQ2htbc1wNyiXyxkeZZoa\nAwMDxslqqVSK3r17v7P7s7A0FaampoyyLZFIGF6KTE1N2QNK7yELFy7Ed999h+PHj8Pf3x+rV69u\nNlmEQiHDBa9IJIKLi0uzydNa4C5fvnx5cwvREKqWCpsKLpcLNTU1FBYWtspZIT6f36izabq6unB2\ndsbLly9hbW2NDRs2wMTEpNHyr6I16n3ZsmUMd3hZWVlwdXWlN5NzuVzai4WRkRH8/PwwcuTIdyYf\nRVEYPHgwXr58CQMDA3zyySeYNm0aI05r1HsVjV3W3xWtWedAy9A7h8PB4MGD8eLFCxgaGmLGjBmY\nNm0aXr58CVtbW/zwww8qhzpYvTcPjaV3pVKJgIAA+lBNWVkZ8vLyMHny5MYStVZep3cfHx8UFxdD\nR0cHo0aNwoIFCxrsFa6peJflvSGG69nldZY6cXBwUPEPywKVk8tcLlfl4IKGhkazmrsQi8VYtWpV\ns92fhaWpkEqlKnuUg4ODm0kalqaGoiiVNre5rUfw+XzW81UDYZfXWVjekIULF8LY2BhAZYezR48e\n9TZ0zcLCwsJSfyiKwtChQ+ltFFpaWhg7dmwzS8XSUNiZThaWN8Ta2hrHjh3DiRMnYGhoiEGDBjX7\nyJuFhYXlfWXhwoXo3r07IiIi4Orqii5dujS3SCwNhO10srC8gq1bt+LYsWMghKB3795YsmSJShyF\nQgE/Pz+IxWLaNBILCwsLS9Pg6uoKV1fX5haD5Q1hO50sLLUQHh6OLVu20GZX0tPT0b59e4wZM6aZ\nJWNhYWFhYWmdsGuBjUxmZibS0tJACGluUVjegvDwcIadv4KCAoSFhTWjRCwtiZKSEjx58qTJrWmw\nsDQ3WVlZSElJabEn/nNzc/HkyZPX2m1laTmwnc5GghACPz8/eHl5YeDAgZg0aVKrNG/BUomzszM0\nNDTosFgsZt1HsgAAEhISMHDgQAwaNAj9+vVjPXSxvLf4+/ujf//+8Pb2xpgxY1rcFqKQkBD0798f\ngwYNgre3N5KTk5tbJJY6YDudjcTJkydx7tw5PH/+HNnZ2bh69Sq2b9/e3GKxvCGurq7w9fWFubk5\nzMzMMGbMGIwfP765xWJpAXz77beIi4tDbm4uUlNTERQUhJKSkuYWi4WlUYmMjMTRo0fx77//Iicn\nB+Hh4c1qjL0mBQUF2LJlC9LS0pCbm4vY2FgsWrSoucViqQvSykhPT2/S37///ksIIeTff/9tULrP\nP/+cAGD8fHx8iEAgIACIra0tiY2NJSNGjCBCoZBoamqSgwcPkps3bxIdHR3C5/PJmDFjSFJSEunZ\nsyfhcDhEJpORn3/+mVy+fJno6uoSiURC/P39SVpaGhk7diyRSqXE2NiYHDx4kKxevZoIBALC5/PJ\nnDlzyB9//EEMDAwIn88nbm5uJCoqinTt2pVIJBJiaGhIli9fTk6fPk369OlD3N3dyZEjR0hycjKZ\nO3cuLX/btm3J1atXibm5OeHz+aRTp04kMTGRfP3110QmkxEdHR2yfft2cvfuXdKxY0ciFAqJiYkJ\nOXbsGOnXrx8BQHg8Hvntt9/I7du3iVQqJQCIg4MDSU5OJs7OzoTD4RBNTU1y6dIlcvz4caKnp0fk\ncjnx8/Mj9+7dIxMmTCAKhYKMHj2apKWlkfnz5xM1NTUilUrJ/PnzSXp6Opk1axbp0KEDWb58OUlP\nTydjx46ln2Ho0KEkLCyMaGhoEACkffv2JDExkTx8+JBMnDiRfPTRRyQqKopEREQQCwsLoqmpSZYu\nXUrS09MZ77JXr15k27ZtdJjL5ZLU1FQyYMAAAoBQFEVWrFhBdu3aRcfh8Xjk77//JsOGDSPa2trE\n1dWVnD17luzevZuOIxAISGpqKuNemzdvJps2bSIaGhpELpeTzZs3k7t37xK5XE4AEF1dXRIbG0t+\n++03YmBgQPT09EhISAiJioqin1Mmk5G1a9eSKVOmEB6PR4RCIdmxYwe5desWMTc3J1KplHh7e5Oo\nqCjy8OFD4ufnR3x9fcn58+fJvXv3iKGhIQFA+Hw+2bVrF1m2bBmRy+VEW1ubrF+/ns6Hw+EQQ0ND\nEhMTQ2xsbOhn2L59O0lISCB+fn7E2NiY9O3bl1y+fJnMmzePaGhoEIlEQr7++mty9OhRYmpqSmxt\nbclff/1FUlNTydy5c4lIJCJSqZSsX7++1vq2Zs0aoqmpSczMzEhkZCT5888/iaGhIdHR0SFBQUHk\nzp07ZMiQIURbW5t0796dxMfHk5SUFBIQEECGDh1K9uzZU2u+q1atIlZWVqRbt25k79695O7du8TS\n0pKIRCIybNgwcvnyZZV6LpfLiVAoJACIvr4+SUtLU8k3Li6OBAYGkp9++omkpKSQ9PR0YmxsTCiK\nIpqamuTs2bPk/PnzxN7enujq6pKPPvqIhIeHEx8fHyIUColYLCZfffUV8fX1pe9raWlJ0tPTyZw5\nc4iamhoxMDAgZ86cIb6+vkQkEhENDQ0SGBhI0tPTycaNG4mWlhYxNjYmR48eJWPGjCFdunQhNjY2\nZNasWSQsLIx8/PHHpHv37iQgIIAkJyeT7du3E0tLS2JgYEAWLFhALly4QOzt7YmFhQX56aefSFpa\nGlm9ejXx9PQk48ePJ0ePHiW3b98mpqamBADR1tYmt2/fpuWVyWQkPT2dbN++nW4X7ezsSEJCAunb\nty8BQEQiEQkJCSHfffcdnU5NTY1cvHiRofNTp04RCwsLxrV79+4xwsePHydBQUF0WKFQkOfPn9Pl\nVCaTkcuXL5P169czdPrkyRPi6upKBAIBUSgU5NSpU2TgwIF0nDFjxpDIyEgiFosJAGJhYUFiY2PJ\nrFmzyIgRI8ilS5dIeno6iY+PJ6NHjyaOjo4kMDCQpKWlkcDAQGJsbEy6du1K7ty5Q9avX0+3OwMG\nDCB///03GTlyJFFTUyOmpqbkzJkzZOvWrYSiKAKAqKurk9u3b5OBAwcSY2NjMm3aNJKUlES+//57\nIpVKiUQiIZMmTSIpKSnE1dWVACBisZhcuXKFjB49mq7Tq1evJunp6eT69etk3LhxZNq0aeT+/ftk\n5MiR9HM6ODiolPWePXsSW1tbOuzi4kIuX75MHB0dibm5OVm9ejWJiYkhDg4ORC6XkylTppBnz56R\nkJAQ+hlGjRpF0tPTSa9evWj5QkNDGe2ilpYWCQ0NZdz7l19+IRs3bqTDXbp0odvEqp+1tTU5e/Ys\nHdbX1yc7d+5kxPnjjz/IoUOHyKBBg8jixYtJWloa8ff3Z5TTEydOECcnJ/qar68vuX37NtHR0SES\niYQEBASQuLg4oqenR6cJCwsjW7ZsYZTbx48fM8rp4sWLyd69e+mwUCgkp06dYsjXrVs3ho4BkIUL\nF76zvsyb/BoCRUjr2nyYkZHRpPnz+Xzo6uoiKytLxW/1qygpKUG7du2aVK7q8Hi8Jlm6V1dXb3V7\n1GrqgsPh1GvvkUQiQWFhIYDKd17fd/2+weFwIBKJaF2IRCIUFxc3St5qamooKChoUBp9fX38888/\njGvDhg3Dli1b6PDs2bNx8uTJBuXL4XBgZWWFR48eAai0+Tdu3Dh8//33dJyPPvoIN27caFC+ryI9\nPZ3++8WLFxg9ejQePnwIiqLQsWNHhierpsbIyAipqamvjUNRFGMfukwmw8uXL1+bRi6Xs/7Na4HH\n42HLli344osv6HoFANra2rQ3nca+35t8DxwdHfHw4cMmn6VvzDalsahe3t+knWoO5s2bh6+//rre\n8d+kL/OmVHeVXRdsp7MGb/Kitm3bhpUrVzapXCwsHzLVO3EKhaJR8hSLxbh//z5t7srS0rLRDgD+\n73//Q4cOHQBUukvdtWtXo+TL0jqoPqhlYWksqreDddFSO52tzmSSUChsUgPcFEWhsLAQfD4fPF79\n1NPSNlezsLxviMXiRs+TEAIejwexWNzojXJRUREtM3uq9sOjoqKiuUVgeQ9pSDv4Jn2Zd0HLkaSe\nNPVSAJ/Ph1wuR0FBQb0/RJMnT0ZgYGCTysXSuDTVFoXWSPUtCTWXWd81tW11MDc3ZwzsTE1NkZSU\n1OC8tbS0kJ2dTYft7OzA5/NRVFQEPp8PAwODRltJcXR0pGWeNm0aLl++jLS0NAC1byFoSt6krNen\nHHC5XLZzVQsURWHixInYs2cPQz/13frzruDz+aioqGhRMrG8mrZt2zZogutN+jJviqamZr3jsqfX\nGwFtbW3cvHkTXC6XvjZx4kSsWbOGDlMUhZMnTzJezsiRIxmnAWUyGW7evAmBQEBfGzhwIGMfh5WV\nFR4+fEjnU7U3rWopD6hcfpw5cyYdFgqFCAoKokc7FEWha9eumDdvHuRyOWQyGaZPn467d+/CwMCA\n8WzVTwPyeDycP38e7du3p6/169cPu3fvpp+9qsHl8/l0nNGjRzOek6Io/Pnnnwx9LVy4EIMHD6bD\npqamOHToENq0aQMOhwNtbW1ERUXB1NSUjtOuXTs8fPgQJiYmEIlE6NSpE5KSkiCRSOg4EokEy5Yt\nYzzTlStXcPz4cZiamsLIyAj79u3D5s2baXlsbGzw119/MdJwOBw4OTkxrv3555+MEWRto9A5c+bQ\nppfEYjG+/fZbdOzYkRHnt99+Y4RtbGwYHjc8PDwQHBzMiHPo0CF88sknoCgKQOW+x02bNjHiuLq6\nMsqbu7s71q1bR68UqKurY8+ePdi+fTs6dOiA9u3bY+nSpdi7dy8jH3d3d3Tq1IkOd+vWDRs2bGDE\n2bp1KyPs7OyMGzduwMzMDFwuFzKZDN9++y2j7LRr1w7jxo0Dl8sFn89HUFAQYmJiYGRkRMdxcnLC\n1atXGXnfuHEDDg4OoCgKHA4HW7ZswWeffQYOhwOKouDu7o7g4GDI5XJQFAWRSITTp0/j6tWr6N69\nOxQKBUaPHo3jx48z8g0PD4ezszP4fD7EYjEmTJiAffv2MfS1cOFCRhq5XI7PP/+ccS0mJoZRts3N\nzRESEoKRI0fio48+wp9//omjR48y0syePRsLFy6k676uri42bNgAdXV1Oo6ZmRmjbANAbGwsY7vB\n9OnToaenR4d79OiBJ0+eoFu3bgAqy/HIkSNhaGgIgUAAgUAAExMTfP/99zAyMoJUKkX37t0RGRkJ\nHx8fcLlcUBQFS0tLfPXVVxAKheDxeOjTpw8ePHgAV1dXyOVyKBQKzJs3Dxs3bmTIN23aNBV5e/Xq\nRYe5XC5Onz7NqEeDBg1i1HMA+Pjjjxnh2ixJ1HwPY8aMQc+ePRnXfvnlF0b4yy+/hL29PePalStX\nGO3XjBkzGPJJpVKV8n/kyBG0b98ehoaGWL58OQICAnD+/Hm0adMGYrEYnp6eiI2NhYuLC7hcLkQi\nEX744Qe4u7vTechkMvz666+0b3EOh4O5c+cy4gDA0qVLoaGhAS6XCyMjI0RGRjLMuenp6SEsLIxR\nBgcOHMjIg6Io/Pzzz1i7di1MTExgaWmJw4cPQyQS0XHEYjGmTp3KSFf9IoKy4QAAIABJREFUu1LF\nokWLIBKJwOPx4Orqip07d9L609fXx5MnT9CjRw86vpqaGhISEhg6XbBggYqXoUmTJjHCAwYMQOfO\nnekwn89XaRcnT56MUaNGMa45ODgwwmPHjsUnn3wChUKBzp0749GjR4w2BwDGjRtHt61A5Td+1apV\ndNjGxganTp1ipFmxYoXKN+LAgQOMcLt27RjlH6hsQ+pCJBKpfJNaK+yezhq8y30QTUFrdcf4Puh9\nypQpjAMufD4fBw8eZDS4LY3WrPe3LeuJiYlYvHgxiouL0aVLFyxatKhJt+5U0Zp1DrBtTHPxtnpf\ntWoVLly4AAAYMmQIvvzyy8YS7bV86Hqvi8GDByMqKooOKxQKXLt2jTEAeBPYPZ0sLO85/v7+ePDg\nARITE8Hn8+Hm5gYXF5fmFoulFgoLC/Hpp58iISEBQOXspEAgUJnJZGF5X/D394e/v39zi/HBoVQq\ncfr0aWRmZmLQoEEqByH9/Pzg7++Pf/75BzKZDEOHDn3rDmdLhu10sjQqhBDGssSHhEKhwIkTJ3D+\n/HnI5XL079+/0WfOatNv1WLFh6r3hkIIQWJiIr3HEqg87BMZGVlnOlbHb05d+lMqle9kppml9dNY\ndbFmPo2ZbxW+vr64dOkSysrKsGfPHgQHB6NTp070vby8vGBlZYWbN2/CxsYGXbp0eev7t2TYGs7S\nKPz+++/w9PREz549MXny5BZnl+1dIZfLER4ejpUrV8LT0xM7duxolHyTk5MxaNAg9OjRAwMHDkRc\nXByUSiXmzZsHV1dXeHh4sB6w6uDixYvo06cPevTogeXLl0NNTY3x/4iICOTn56ukO3bsGHr16oWe\nPXtiypQprPehBlJd7+PGjVPR8ZUrV2BtbQ1TU1NYWFgwbLKysFSnuLgYn3zyCXr27IlevXqp7Muu\nL/fu3cOAAQPQo0cPDBkyBLGxsRg5ciR69OiBfv364fbt22+Ub0VFBfz8/Og2edWqVbhx4wa9vJ2a\nmopVq1Zh+PDh6NGjB/r374/IyEi0a9cOEydOfO87nAC7p1MFdv9Jw8nKyoKPjw/DhtjEiROxdu3a\neufxvuh948aN2LhxI/0MWlpaOHz4MGxtbd8q/2HDhjE2knfq1AleXl748ccf6Xtpamri8OHDjENl\nddGa9d6Qsl5QUID+/fszTr3XdorcxcWF8SH7559/MHjwYLrdoSgKkydPZhwqaCitWefA2+t96NCh\n9MGzoqIiODk5ITc3l/6/QCDAhQsXYGFh0ahyf0h6b0k0pt4XLVqE/fv302GFQoHTp08zDs/Vh379\n+uHhw4d0WFNTEzk5OXTY0tISly5dApfLbZDeN2zYgKCgINpahIaGBoqLixkD1Zr3at++PS5dutTo\nqygtdU8nd/ny5cubTpTGp6k95nC5XKipqaGwsLDBpiT++ecf7Nq1C1FRUTA3NwePx0NcXBwKCwtf\neUKttLQUd+/exd9//w2JRAKxWIy4uDj8/fffKCoqgpaWVq1LTsXFxThx4gQiIiJgZGQEsViM0tJS\nPH78GAUFBdDQ0IBSqUR8fDxevHgBTU1NlJWV4datW7h48SIoikKbNm1w8+ZN/PHHH9DU1IS2tjay\ns7MRGxuLlJQUKJVKyGQyJCYmIisrC1paWnTFuHv3Lm7fvg0dHR0kJyfj559/ZuirtLQUFy5cQHZ2\nNhwdHVFcXIzg4GBs27YNQqEQlpaWyMnJwf79+5GamgobGxtIpVI8evQIly9fBo/Hg5aWFuLi4nDy\n5Enk5OTAyMgIXC4XL168QEJCAgQCAcRiMf7++2+sWLECSUlJcHJyQmFhIX766Sf8/vvvMDc3B4fD\nwebNm/HXX3/Bzs6OYR2gioqKCkRERODu3bvQ0dGBWCzG8+fPsXfvXty8eRMmJiYghGDBggW0KRQT\nExMIhUKkpqYiMzMTUqkUu3btovcJApUfVRMTE+Tn5yMnJ4ducJ48eQI1NTValitXrmDZsmVITU2F\ng4MDlEolTp06hWPHjkFDQwO///47w9xPlb3aKg87VWWi6sRqla5qo7i4GI8ePUJZWRnkcnmt5f3p\n06eIjo5GXl4e5HK5ip03Qghu3ryJ06dPQ0NDAzKZDGfOnMF3332H6OhoODo60qf5k5OTkZGRAblc\nDg6Hg8ePH+O///6DpqYmKIpCXFwcrl+/Dg0NDairq6O0tBT79u3D/fv3YWdnV2v5T0tLQ2hoKAgh\ndLndsmULoqKiaFNI1UlJScHPP//MaPz5fL7KjLxSqcT06dPpcExMDPbt28dYLuPxeLh//z4iIiJg\na2sLoVCI69ev4/z585BIJNDV1YVSqcTjx4+RnZ0NTU1N5Obm4vz58ygqKoJCoYBEIsHvv/+Oc+fO\nQaFQQF1dHeXl5Xj06BHu37+PsrIyaGpqIikpCVevXoVIJIJcLkdeXh7Cw8ORlpYGHR0d8Pl8ZGVl\n4ddff0VKSgrMzc1RWFiIyMhIJCUlQV1dnW4bbt68iYSEBOjr6+P+/fs4evQopFIp9PT0UF5ejosX\nL+Lp06f0yfHExERkZGTg2bNnKC8vh0wmQ2ZmJlJTUyGRSMDn86FUKpGQkECXbYqi8OLFC1y4cAF5\neXkoKytDcHAw46Onrq6OwsJCxMbGQi6XY9euXYyyV1FRATs7O2RnZ+PYsWPIycmBpaUlCgsLceXK\nFTx79gwGBgbgcrkIDQ3FmTNnoK2tDS0tLQDAnTt3EBkZCQMDAwiFQjpfLpcLiUSCO3fuYOfOnUhO\nToaNjQ3y8vJw9epVZGVlQV9fH1wuF9nZ2bh27Rqys7Ohp6cHLpeLW7duISYmBm3btgWXy2W0ra/q\nMOTm5iIhIQF8Ph98Ph9xcXF49OgRCgoKIJfLa62jGRkZSE5Ohrq6Ovh8PkpLSxEWFoaQkBDk5+c3\nqDP+/PlzJCYmQk1NDQ8ePMCqVasQHR0NfX19aGlpIT8/H/Hx8bRugEoD5CkpKZDJZOByubh8+TIO\nHz6M0tJSKBQKPHr0CMHBwQgPD4epqSlkMhny8vIQHx8PHo8HiUSC0tJS+tunpaUFNTU1ZGRkYP/+\n/UhMTET79u1RUFCAvXv3IjQ0FCYmJlAqldi3bx9SUlJgZWUFDoeDwsJCnD9/Hs+fP4eRkRF27tyJ\nlJQU+vmKi4thbW2NixcvghACQ0ND3Lt3D8HBwTh16hS0tLRU9lCWlJRg06ZNDOP9SqWSYd6Kx+PB\nzc0N4eHhoCgKmpqaqKioQGBgIL7//nsIhULayklkZCTatm0LoVCIn3/+GfHx8Yx76evr0/0WLS0t\nqKurMwZZfD4f9vb2OHPmDEpLS2FkZISysjLaKsfFixfh6uoKqVRa7/cOvF1fpqFUt7JRJ2/g/rxZ\naam+11euXMnwlUpRFGnXrh2RSCRES0uLfPzxxypp7t+/T9q3b0/7pBWJRMTIyIhwuVzav7eLiwtJ\nTExkpIuOjiYikYjhB3zjxo2kU6dORE1NjWhpaZGJEycSNzc3IpVKiYaGBvH09CTGxsYMGav8RVf9\nPDw8iEKhoOWRSqXE0NCQaGhoEKlUStzc3EhSUhLp0aMHHUcgEJCpU6eq+Oit/uPz+YTD4TCuaWtr\n03ng/3wKL1iwgPB4PAKAcDgcYmRkxEijq6tLtm3bRkxMTIhIJCLGxsa0/96qX8371PxRFEXu3LnD\n0GdiYiKxsrKi5ZFIJOTzzz9nyFfbTyAQEG9vb6KtrU0kEgmxtrZWub9IJKLfFUVRRFdXl7Rp04aI\nRCJibm5Ozp49Szp27KjyDFV+6qt+MpmMEZZKpSrpqsuro6ND4uLiVMpcVFQUsbW1JRKJhOjo6JC5\nc+cyyntaWhoZNWoUXTY4HA7p0KEDuX//Pp1HSkoKsbS0ZNy76r1V/x06dIh8/PHHREtLi0gkEuLg\n4EB69epFZDIZUVdXJx4eHmT48OG0zng8HlmxYgUjLz6fr1L+Fy1axCgn7u7uKvq7du0aI018fLzK\nu6ny/1395+7uTqf5+++/VXwg1/Zr06YNI+zl5UV69+5NZDIZkclkpHPnzrQ+KYoiXbt2JQqFgpFm\n7dq1xNnZma77PB6PGBoa0jJzuVwyZMgQoqmpybjvsmXLGM8lEokY8mhqapLAwECir6/PaC+q37tm\nvtra2qRPnz5ETU2NcDgcwuFwiI6ODunWrRvR09MjYrGYtG/fnly7do24u7sTdXV1IpPJSN++fcmB\nAwcYbROfz6+zbaitnqmrq6uEq9cJQ0NDlfZs1qxZxMbGhs5PLBYzysGzZ8+Ij4+PSrmVSCT0uzEz\nMyM//vgj45qlpSUxNzdn5Nu5c2cilUqJTCYjPj4+JC0tTaWuHTp0iJiamhKRSETatm1LzMzMCI/H\nIxRFER6PR5ycnEh8fDwjzZdffknr2Nramly8eJG0a9eOIbOenl69vklr164lbdu2JSKRSKWtB0Cc\nnJyImZkZEYlERKFQkMDAQOLn50f7F7exsVEp27XVmRkzZjDyWblyJXFwcKC/fZMnTybR0dEq5bRm\nfaxeDtTU1MiNGzcY78HIyEjF17qamppKu1hTvt69ezP0MmPGjDrrtFAopMsuh8MhAwcOVInD5XIZ\n3+6rV6+SUaNG1VrGq9fHmu+ien0BwChr1X8//PAD63u9OWiJy+tKpRKWlpav3ceopqaGQ4cOMeyM\nffbZZzh27Fid+c+ZM4dhL3PAgAF48OABI45AIGB4PhEIBCgrK2McMnnbV83hcDB+/HgcOHCgSQyI\n18d4cn18QteFrq4uYmJi6PDatWsRFBTEiFNffdUVr67/Ozo6Ijo6uh5Sq1KXcW5vb2/s3LmTcc3X\n1xdnz56lwzo6Orhz5w6kUinKyspw/fp1TJo0ScWLzogRI2gd7dmzB4sXL65TvqqZk+ozCtX1weFw\nQAipU8+Ojo44ffo0gMqZgw4dOtS53GVkZIRbt27R4V27dqnYa62NdevWYcKECQCAL774AkeOHKkz\nTW001BD4mxoOr086qVRa617Vt71Xu3btkJSURF+r8u7U1KtRr6K2ula9HISGhqrY+6yNhrqw5PP5\n2LRpE4YOHcq4PnDgQNy7d++1aSdNmkTbc3727BkGDhyIZ8+e0f83MDBAZmamSrqgoCCMGDHilfmW\nlZXBw8MDycnJ9X4OQ0NDFBUVvbV/+JrlTSqVgsvlMmb33iSfmnC5XCiVynq104mJiRCJRFAqlTA3\nN28SL2GGhoYoLy9vMscPHA4HKSkp9V6Gb6nL6+xBokagpKSkzpdaUFCg0njUtxLWTFd9P0gVNT2O\nlJaWMipjY3QSlUolkpKSmsxjTX0+uo3RWNT8oNTWqNf3GeuKV9f/38Y/c13eYKp/vKooKChghPPy\n8pCVlUWHMzIyatVx9Y5E9VPfr6OkpETl+arro74fjOrvp6CgoF5ecGoOTJ48eVJnGoCps4Z+JKvT\n0A7kmy5/1SddY31wat4rPz+fca28vLxZD1nVVpaqD05SU1PrlU9D9VVWVlZrnaiPLqpvmcnJyVHp\nZL0qj+pLuLVRVFTU4HdRVFTUKIOTmvrLz89/o4OldQ0s1dXV691OV7VfJSUlTeZFq6ioqEn33CqV\nyvfCexTb6WwExGIxTExMVK5X34tmZmaG7t27M/7fv39/lf2FNfevaWhoYMyYMYxrw4cPV7mXkZER\n7ckCqBx56OjoMPKpyxxJbfuLql/T09PD9OnTm8yGmLa29mv/X+UZ5W3p378/Izx69GiV91DfPSrV\nT0DXpr/XuQfj8Xj1Pq3I5XLRpk0bOqyjowN9fX06LBaLGSPgKk9VNfHw8GDIbGZmxjh41KtXLxga\nGjLSiEQi9OvXjw4PHz68XqZt7OzsYGZmRofV1NQYe5t1dXVVPOxUL8NVVPeCoqmpWa9DA71792aE\nJ06cqDJDUDOsqamJIUOG0GEvLy+VE+71QSwWQ1dXlw7X3F9a255iHR0dlWevKV9t6eqqM0Cld6/X\nvS8ej8f4P4fDob1oVaf6/kihUIhevXox3oWBgQHs7OzqlKcxoChKRT8ymUxF19W9+QwYMEClvNWE\nx+MxymzVtZr6q94GKhQK+Pj4qORlbW3NSFezfZDJZIzyZmZmxvDEJBKJ4OzsXOvMVm0emWrmbWxs\n/No4AoGAIZ+5uTnj2Wsrb7UhFosZz2ZoaMgoP+3atVPxNlQfaqahKIohk7Gxcb3qJ4fDob+FYrFY\n5XzFq/a+V6c+37yePXvWq/zX1Q69iqp9zK0d9iBRDd508+3o0aNx/vx55OTkgKIoODo6Ys6cOSgr\nK4OlpSU2bNig4mqrY8eO9EEdDoeDbt26Yfbs2cjKykJJSQmsra3x7bffom/fvox0bm5uyMzMRHx8\nPCiKgrOzM06ePAm5XA6lUgkLCwsEBQWhc+fOePHiBUxNTbFq1SrY2NggOjoaFRUV0NbWxjfffIPb\nt29DqVRCR0cHFy5cQEFBAYqKiiASidC1a1fMnTsXxcXFMDExwYIFC9CvXz/06tULly5dAo/Hg6Oj\nIy5cuIDt27e/ctS5ZMkS6OrqIjY2FkBlJTt69CgSEhLw/PlzcLlcLFq0CPv27cPZs2dRVlYGhUKB\njRs3IiIiAoWFhRCLxfjyyy/x/fffIzs7GzKZDK6urti/fz/27t1Lj15nzZoFgUBAz2qoq6vD3Nwc\nz58/B1DZMOzZs4chn7GxMYyNjREdHQ0ejwd3d3f89ttvCA8Pxz///AOKomBubg6pVMqYQfP29saW\nLVuQnp4OY2NjTJ06FQKBAMnJyeBwOBgxYgS2bduG+Ph45OXloU2bNpgyZQratGkDXV1deHl5ISAg\nAMOGDWO4npwwYQI8PT0REREBQgjU1NRw7tw5uLm54fnz5zA1NcWiRYswYcIE+t5z5sxB+/btER8f\nD4lEAj8/P/j6+qq8CycnJ/pQkLW1NbZt2wZjY2O6vFe5QXz8+DEKCwthZGSEOXPmYPLkyXQeenp6\n6NixIy5cuECXnRkzZjCWs21tbXH69Gm4u7sjLS0NhoaG8PX1xYQJE/D/2rv3sKjq/A/g77nAACPD\nRVFB5BIgKqArZaaWaKalZpCrha61WWtZtm3l/mGXZ3+1u7a7T1trNxXLtLzsY7oqeVdUEMXEp1DB\nCyByBwVhcLgzl+/vDx7OwwgoBMeD+n49T08yM+fM97zPmTOf+Z7vOae8vBwBAQFYunQp/vznP2Pf\nvn3SD4rExETk5ubi8uXLUKvV+N3vfmd3G1iVSoU5c+YgKSkJZrMZAwcOxK5du5CSkiKt46ioKHzz\nzTd2O3MvLy8MGTIEhw4dghAC3t7e+OKLL3Dp0iU0NTUhMDAQy5cvt7slYlhYGAwGg3QiTXh4ON5/\n/32kpKRIPTdhYWF49913cezYMdhsNnh5eWH79u14+OGHUVFRgYCAAPz1r39FRUUFrl+/DoPBgM2b\nN2PmzJnYuXMnAMDf3x/Hjh2Dv78/CgoKYDabMWzYMLz//vvIysqCzWbD4MGDsWfPHtTX16O4uBh9\n+vTBc889h2+//RaJiYmorKyEVqvFK6+8goiICJSWlsLZ2RnTpk3D2rVr4eLigosXL8LJyQlTp05F\nUVGRdKLg8ePHpeednZ2xZMkSLFy4EFevXoVarYaPjw8iIyPxn//8B0ajET4+Pnj66afxf//3fwgO\nDobRaERAQAD+8pe/4O2330Z6ejqMRiPc3NywaNEinD17FhaLBVqtFtOmTYOfnx8KCwuhVqvx4osv\n4sUXX0RycjKamprg4OCAKVOmYMKECcjMzITFYoGjoyP+/ve/o2/fvigpKYGrqyuWLl2K559/Hvv3\n74cQAgMHDsThw4cxbtw4HD16FI6Ojnj00UexcuVKaX26u7sjOjoa27ZtQ319PdRqNebPnw8/Pz+U\nl5fD3d0d77zzDj766CNcuHBBOjnq/fffx7x585CcnAydTocnnngCf/zjH2EymRAYGIi//e1v7V4x\nYsqUKTAajXB1dcWYMWPw+9//HhUVFWhsbMSwYcPwxhtv2HUgaLVaTJkyBQUFBfD29sbs2bOxbNky\neHh44MSJE1KGq1atsrvtZUemTZuG4uJi9OvXD+PGjUNWVpa0n/T398cXX3wBDw8P6PV6jB49Gl9+\n+SWmT5+O/Px8+Pj4YO7cuYiNjUVCQgKsVit0Oh3mz5+P/Px8afv39fVFSkoK6urqpPmsWbMGXl5e\naGpqQnBwMD777DO89957OHDgAK5cuQKNRoPXXnsNLi4u0uF/Pz8/BAUFoaysDFqtFkuWLMHHH3+M\n/Px8lJaWQq/X47PPPkNAQAAcHBwQERGBr776Ci+//LJ0kpOzszM+//xzHDt2TOrl1el0SElJsftB\n98wzz2D//v2w2Wzw8/PDoUOHcOTIEWlYgZOTE44fP47U1FQ0NjZiwIAB2LZtG9Rqtd1QqKVLl+Li\nxYtwdHTExIkTERcXh+joaGn7d3d3x7PPPos+ffpArVYjMDAQo0aNwrvvvouffvoJDg4OGDNmDJYv\nX46EhAQ0NjZCr9djzZo10m2fW3h4eCAlJaXNj6qb6a0nEnFM5w14WQ1lMHdl3Mm5M3NlMHdlMHdl\nMPdb45hOIiIiIupVWHQSERERkexYdBIRERGR7Fh0EhEREZHsWHQSERERkexYdBIRERGR7Fh0EhER\nEZHsWHQSERERkexYdBIRERGR7LRKN6BFdnY29u3bByEEIiMjf9W9WomIiIiod+oVPZ02mw179uzB\n/PnzsXjxYqSnp6O8vFzpZhERERFRD+kVRWdxcTE8PT3h4eEBjUaD8PBwXLx4UelmEREREVEP6RWH\n100mE9zc3KS/DQYDiouLYTKZUFNTY/fapqYm6PV62dqi1Wrt/n+n0Wg0cHBwULoZXcbclXEn587M\nlcHclcHclcHce1avaI1KpWr38Z9//hlJSUl2j0VFRWHSpEmyt8nDw0P296C2mLsymPvtx8yVwdyV\nwdyV0dty7xVFp6urK65fvy79bTKZYDAYMGLECISGhtq9tqmpSdbxnlqtFh4eHjAajbBYLLK9j1x0\nOh0aGxuVbkaXMXdl3Mm5M3NlMHdlMHdlMPdb8/Ly6vRre0XR6ePjg8rKShiNRri6uiIjIwOzZ8+G\nwWCAwWCwe21JSQnMZrPsbbJYLLflfXqaVqu9I9vdgrkr407MnZkrg7krg7krg7n3rF5RdGo0Gkyf\nPh0bNmyAzWZDZGRklypnIiIiIurdekXRCQAhISEICQlRuhlEREREJINecckkIiIiIrq7segkIiIi\nItmx6CQiIiIi2bHoJCIiIiLZsegkIiIiItmx6CQiIiIi2bHoJCIiIiLZsegkIiIiItmx6CQiIiIi\n2bHoJCIiIiLZsegkIiIiItmx6CQiIiIi2bHoJCIiIiLZsegkIiIiItmx6CQiIiIi2bHoJCIiIiLZ\nsegkIiIiItmx6CQiIiIi2bHoJCIiIiLZsegkIiIiItmx6CQiIiIi2bHoJCIiIiLZsegkIiIiItmp\nhBBC6UZ0RUVFBdRq+WpllUoFR0dHNDU14Q6LBgCgVqths9mUbkaXMXdl3Mm5M3NlMHdlMHdlMPdb\n8/Dw6PRrtTK2QxaNjY2yzt/BwQHu7u6ora2F2WyW9b3k4OzsjPr6eqWb0WXMXRl3cu7MXBnMXRnM\nXRnM/da6UnTy8DoRERERyY5FJxERERHJjkUnEREREcmORScRERERyY5FJxERERHJjkUnEREREcmO\nRScRERERyY5FJxERERHJjkUnEREREcmORScRERERyY5FJxERERHJjkUnEREREcmORScRERERyY5F\nJxERERHJjkUnEREREcmORScRERERyY5FJxERERHJjkUnEREREcmORScRERERyY5FJxERERHJjkUn\nEREREcmORScRERERyU6rdAMOHDiArKwsaDQaeHh4ICYmBk5OTko3i4iIiIh6kOJFZ1BQEB577DGo\n1WocPHgQycnJmDJlitLNIiIiIqIepPjh9aCgIKjVzc3w9fWFyWRSuEVERERE1NMU7+lsLS0tDeHh\n4dLfJpMJNTU1dq9pamqCXq+XrQ1ardbu/3cajUYDBwcHpZvRZcxdGXdy7sxcGcxdGcxdGcy9Z6mE\nEELuN/n+++/bFI8AMHnyZISGhgIAjh49itLSUjz77LPS80eOHEFSUpLdNFFRUZg0aZJsbTWZTPj5\n559x//33w2AwyPY+ZI+5K4O5337MXBnMXRnMXRm9NffbUgI///zzN30+LS0N2dnZbV53//33S0Vp\niz59+vR4+1qrqalBUlISQkNDe9WKutsxd2Uw99uPmSuDuSuDuSujt+aueL9rdnY2UlJS8MILL7Tp\nwjYYDL0qLCIiIiL6dRQvOvfu3Qur1Yr169cDaD6Z6Mknn1S4VURERETUkxQvOt944w2lm0BERERE\nMtN88MEHHyjdiN5ECAFHR0cEBARAp9Mp3Zx7BnNXBnO//Zi5Mpi7Mpi7Mnpr7rfl7HUiIiIiurcp\nfnj9Zj744AOMHTsWjz/+OADg+PHjMJvNmDhxYrfmm5KSgrS0NKjVari4uCA6Ohru7u4QQmDv3r3I\nzc2FEAJBQUGYNm1am+lvduvO5ORkpKWlQaVSYdq0aQgODgYAHDp0CGfOnEFDQwPefffdW7ZFKR9+\n+CEGDBgAq9UKtVqNkSNHYuzYsVCpVN2ab15eHvbt24eysjLMnj0bw4cPl547ePAgsrOzAQATJkyw\nu1Zri7s58xstW7YM7733XrfmYbFYsH37dpSWlsLZ2Rlz5syRlvF2533q1CmcOnUKarUaWq0WTz75\nJAYOHNit5ZNDT+R+s2U9ffo0jh49CqA599/85jdtpr9Xcm/Zz7SIjY3t8DO4du1aPP744/Dx8elw\nfjk5OUhISIDVaoVGo8HUqVMRGBgIACgpKcGOHTtgsVgQEhLS7j797NmzOH78OIQQ0Ol0mDFjhpRV\ndnY29u3bByEEIiMj8fDDDwMAzp07h8TERFy7dg0LFy6U2ldUVISTluNXAAAToElEQVRdu3YBAGw2\nW4efMSV88MEHGDFiBGbNmgUAsFqt+OSTT+Dr64t58+b96vnu2LED2dnZ0Ov1eO2116THDx8+jMzM\nTACAi4sLYmJi4ObmZjdtaWkpdu/ejcbGRqjVajzyyCNSXkajEVu3bkV9fT28vb0xa9YsaDQalJeX\nIz4+HqWlpZg8eTLGjRsHADCbzVi3bh0sFgusViuGDh2Kxx577FcvV0+6cOECNm/ejNdffx39+vXr\n1rzq6uqwdetWVFVVwd3dHXPmzIGzs3Ont73//e9/KCkpgUajwaBBg/Dkk09Co9EAAPbs2YNLly7B\nwcEBMTEx8Pb2BtC9dWxH9GJ//etfxfLly0Vtba0QQojjx4+LI0eOdHu+ly9fFk1NTUIIIVJTU8UP\nP/wgPf7NN98Im80mrFar+Prrr0Vubm6b6S9duiSsVqsQQogDBw6IAwcOCCGEuHr1qlixYoWwWCyi\nsrJSLF++XNhsNiGEEIWFhcJkMolly5Z1qi1Kad2+mpoa8d1334nDhw93e75Go1FcuXJFbNu2TZw7\nd056PDMzU3z33XfCarWKxsZGERcXJxoaGtpMfzdnfqMb2/trnDx5UuzcuVMIIUR6erq0jErk3Xr+\nFy9eFOvWrev28smhJ3LvaFlra2vF8uXLRV1dnairq5P+faN7JfeuZL127VpRXFx809eUlJQIk8kk\nhGjO6t///rf0XFxcnCgsLBRCCLF+/XqRlZXVZvqCggJRX18vhBAiKytLrF69WgghhNVqFcuXLxeV\nlZXCYrGIFStWiLKyMiGEEGVlZaK8vLxN+5qamqR1aDKZxD//+U/pb6UtW7ZMrFy5Utr/ZWVliZUr\nV4qNGzd2eh4Wi6XNY3l5eaKkpER89dVXdo+33gZ/+uknsWPHjjbTXrt2TVRUVAghmvP6+OOPpXWx\nefNmkZ6eLoQQYufOnSI1NVUI0fzdVFRUJBISEsTx48ft5tfY2Ci1c/Xq1SIvL6/TyyanH374QWzc\nuPFXfZ/euP3s379fJCcnCyGESE5OlvYTnd32Wn8GtmzZIuWamZkp1q9fL4Ro3q+0fA6E6N46bq1X\n93RqNBrcf//9OHHiBCZPnmz3nNFoRHx8POrr66XqWqfTYeXKlXjrrbcANN+96Msvv8Sbb74p3WoT\ngPQLGGg+W/7s2bMAAL1eD6vVCovFAiEEbDZbu9cFDQoKspv+/PnzAIDMzExERERIvRSenp4oKirC\n4MGD4evr2+4ydtSW3kCv12PmzJlYvXo1Jk2aBJvNhoSEBOTl5cFqtWL06NF44IEHAADHjh3D2bNn\noVKpEBIS0ubXZUsvxo09puXl5fD394darYajoyMGDBiAS5cuISwszO5190rmLZqamvDf//4XDQ0N\nsFqtePTRRzF06FAYjUZs3LgRfn5+KCwshMFgQGxsbJvLjWVmZko3URg2bBj27NkDQJm8W48nampq\ngouLS/cDkkl3c+9oWXNychAUFARnZ2cAwH333YdLly4hIiLCbvp7NXeguUdy//79UltjYmLg6uoK\nADhz5gx+/PFH2Gw2REdHY9CgQXbTtvTGAICXl5fU01VXV4empiYpo5EjR+LixYsICQmxm37w4MHS\nv1vfjrm4uBienp7w8PAAAISHh+PixYvw8vKCl5dXu8vRepuwWCxwcnKy+/5RWkhICLKzszF8+HCk\np6cjPDwcBQUFAJp7afft2weLxQIHBwdER0ejX79+SEtLw4ULF2A2myGEwAsvvGA3T39/fxiNxjbv\n1ZltsG/fvtK/XV1dodfrUVdXB51Oh7y8PMyePRtA87pLTEzE6NGjodfrodfrpSM2rTk6OgJo7sUV\nQkifOSU1NjaiqKgICxYswIYNG6R9c25uLo4cOQKdTofKykoEBgZixowZUKlUWLZsGR544AFcvnwZ\nM2bMgJ+fnzS/zMxMLFiwAEBzLuvWrcOUKVM6ve213v4HDRqE6upqab4tR2B8fX3R0NCA6upquLq6\ndmsdt9ari04AGD16NFauXInx48fbPb53716MGjUKI0eORFpaGvbu3YvY2FgMHDgQubm5CAwMRFZW\nFoKDg2/6gf/ll1+kFdC/f38EBQXhk08+gRACY8aMuWU3eOtbd1ZXV9t9ARgMBmlldkbrtvQWHh4e\nEEKgpqYGFy9ehJOTE15++WVYLBZ8++23CAoKwrVr15CZmYmFCxfCwcEB9fX1nZ7/wIEDkZiYiHHj\nxqGpqQl5eXno37//Tae52zMHmm9dFhsbC51Oh9raWqxZswZDhw4FAFRWVmL27Nl46qmnsGXLFly4\ncAEjRoywm766ulq6xq1Go4FOp0NdXZ1ieaempuLEiRMwm8146aWXupTF7dTd3IH2l7X1+gA6l9vd\nnLvZbMaqVasANO9jZs+ejT179mDevHlwcXFBRkYGDh8+jOjoaAghYLFYsGjRIuTn5yM+Pt7u8N6N\nzp8/D29vb2g0GphMpi7n3nqfYDKZ7A4VGgwGFBcX33L5ioqKEB8fD6PRKBVNvUV4eDiSkpIwZMgQ\nlJWVITIyUio6vby88OKLL0KtViMnJweHDh2S7hJ45coVvPrqq10u4lqGfzg4OOAPf/jDTV9bVFQE\nq9UKT09P1NbW2hVNnd3mbTYb4uLiYDQa8cADD9xy/3Y7ZGZmIjg4GO7u7nBxcUFJSYk0HKOkpASL\nFy+Gm5sbNmzYgAsXLmD48OEwm83w9fWVhhe2VltbK3WI9enTB7W1tdJzXdn2rFYrzp49Kw056Wg/\n1fLjryNdWce9vujU6XQYOXIkTp48aVfFFxUVITY2FgAwYsQIHDx4EEDzB+rcuXMIDAxERkYGHnzw\nwQ7nfebMGZSWluKJJ54A0DzuMC8vD2+//TaA5tt3BgUFwd/fv93pjx49Co1G0+4XT1fd2JbeKCcn\nB2VlZVLvS2NjIyorK3H58mWMGjVKWj9d2SkFBQWhuLgYa9asgYuLC3x9fW86fvReyVwIgYSEBBQU\nFEClUqG6ulq6lay7u7s03szb2xtVVVWdnq9SeT/44IN48MEHkZ6ejvj4+DY9Jb1FT+TeE8t6t+fu\n4OCARYsWSX9fvXoV5eXl+P777wE0Fw4tX3QqlUoqvv39/dHY2IiGhgZprGtrZWVlSEhIuOVd8DqS\nm5uLtLQ0qUD/tWPZfX19sXjxYpSXl2PDhg0ICAhot71KGDBgAKqqqpCent7mB3dDQwO2b9+OyspK\nAM3roUXrnvqumDx5MiZPnozk5GTs378fMTEx7b6uuroa27dvx9NPP93l92hNrVbj1VdfRUNDA9av\nXy91QikpPT0dY8eOBQCEhYUhIyNDKjoHDRok9aRHRESgoKAAw4cPh1qttjv3oSM3bqNd2fZ2794N\nf39/u17UX6Oz6xi4A4pOAHjooYcQFxfXZuC9aOfE+yFDhuDQoUOor69HaWlphxtbTk4OkpOTsWDB\nAmkAbVFREYKDg6Xu+ZCQEBQVFbVbdLZ3605XV1dcv35d+vvGX9kdaa8tvUVlZSVUKpX0q2r69Ol2\nhwAB4NKlS+2ui86aMGECJkyYAKB5gHPrwy2t3SuZA807qbq6OrzyyitQq9VYvnw5LBYLgObeuBZq\ntVp6vLWWXAwGA6xWKxobG6XDHkrk3SIsLEwa6N4bdTf31lovq6urK/Ly8qTnTCZTh/umezF3oLmX\n7Va9JC3aKwavX7+OzZs3Y9asWdKXuMFgkA6VA825ddRrc+XKFfz444+YP3++VFx1N3cvLy94enqi\nsrLypidC3W6hoaE4cOAAFixYYNdLdvjwYQQGBiI2NhZVVVVYt26d9NyNQ0m6KiIiAhs3bmz3uYaG\nBmzatAmTJ0+WevRdXFzQ0NAAm80GtVp903XXHicnJwwZMgQlJSWKFp11dXXIy8tDWVkZVCoVbDYb\nVCoVpk6d2ua1Qghp29ZqtR3+6NHr9VIPZHV1NfR6fZvX3GrbS0xMRF1dHZ566inpse5u7zdbxy16\nz0CTm3B2dkZYWBjS0tKkxwYPHoyMjAwAzWcethSGOp0OPj4+2Lt3L4YMGdLuSistLcWuXbswb948\nu5XVr18/5Ofnw2azwWq1Ii8vr91xOy237rxxTFdoaCgyMjJgsVhgNBpRWVnZZuxRZ9vSG9TW1mLX\nrl0YM2YMACA4OBinTp2C1WoFAFy7dg1NTU0ICgrC6dOnYTabAeCmh9dvLE5tNhvq6uoANO/0r169\n2qaoBe6dzFs0NDRAr9dDrVYjNze3S72ZQHMuZ86cAdB8uLFlp6tE3hUVFXbzbX3Wcm/T3dw7Wtag\noCDk5OSgvr4e9fX10hjPG92rufft2xd1dXUoLCwE0HzYr6ysDEDzPuPcuXMAgPz8fDg5ObW57mB9\nfT02bdqExx57zG58pqurK3Q6HYqKiiCEwJkzZ6ThEq1VVVVJBWvrH2E+Pj6orKyE0WiExWJBRkYG\nQkNDb7osRqNR2kdWVVWhoqICnp6evyIV+YwaNQoTJ05sc+i5sbFRKuxaf9/+Wq23wczMTLuxty0s\nFgs2b96MkSNH2vXsqVQqBAQESEfWTp8+3Wbd3fh9UltbK33/mM1m5OTktPuet9P58+cxcuRIvPXW\nW3jzzTfx9ttvw93dHfn5+QCaxw0bjUbYbDacO3euU72OrffvrXPp7Lb3888/IycnB7/97W87nG9h\nYSGcnJzaPa+ltc6s49buiJ5OABg7dixSU1Olv6dNm4b4+HikpKRAr9cjOjpaei48PBxbtmzp8FDS\nwYMHYTab8cMPPwAA3NzcMHfuXAwdOhR5eXlYuXIlgOYia8iQIW2m7+jWnf3790dYWBi++uorqNVq\naUAw0HwplIyMDJjNZnz66aeIjIzExIkTO2yLUlrGWt14ySQAiIyMRFVVFeLi4gA0/9qKjY1FcHAw\nrly5gtWrV0Oj0SAkJKTNiV/FxcXYvHkz6uvrkZWVhcTERLz22muwWq1Yu3YtgOYfDLNmzWp3DO7d\nnHlrLZd8GTFiBDZt2oQVK1bAx8enw5MWOhIZGYlt27bh888/h7OzszS2R4m8U1NTcfnyZWg0GukS\nVb1NT+Xe0bK6uLggKioKX3/9NQBg4sSJ7R6qvNdyb6HVavHMM89g7969Uu/W2LFj0b9/f6hUKmi1\nWqxatUo6kehGqampqKysRFJSEpKSkgAAzz33HPR6PWbMmIEdO3bAbDYjJCSk3THcR48eRUNDA3bv\n3g2guSf75ZdfhkajwfTp07FhwwbYbDZERkZK28SFCxewd+9e1NXVYePGjfD29sb8+fNRUFCAY8eO\nQaPRQK1WY+bMmb3m0HoLg8EgdSa07pgZP348duzYgaNHj9p9991qmMHWrVuRl5eH+vp6fPrpp5g0\naRJGjRqFhIQEVFRUQKVSwdPTEzNmzGgz7blz55Cfn4/6+nqcPn0aABATE4OBAwdiypQp2Lp1Kw4f\nPgxvb29ERkYCaD4U//XXX6OxsREqlQo//fQTFi9ejOrqauzYsQNCCAghMHLkSNx3333dzqs7MjIy\npMtstWh9EtegQYOwZ88e6USiYcOG3XKeDz/8MLZs2YJffvlFumQSgE5ve7t374a7uzvWrFkDoPlk\n06ioKAwZMgTZ2dn47LPP4OjoaPdZ6846bo0XhyfqRa5cuYKdO3di4cKFSjflnsLcieh2y83NxYkT\nJ7p1jdQ7zR3T00l0tzt16hRSU1N75YlNdzPmTkRK6O5NV+5E7OkkIiIiItndEScSEREREdGdjUUn\nEREREcmORScRERERyY5FJxERERHJjkUnEREREcmORScRUTcEBATAxcUFBoMBHh4eGD9+POLi4jp1\na9i8vDyo1Wq7e1wTEd2tWHQSEXWDSqXCrl27YDKZUFBQgKVLl+Jf//oXXnrppU7Pg1euI6J7AYtO\nIqIe4urqipkzZ2Lz5s347rvvcO7cOezevRujRo2Cm5sb/Pz88OGHH0qvnzBhAgDA3d0drq6uOHny\nJADg22+/xfDhw+Hp6YknnngCBQUFiiwPEVFPYtFJRNTDRo8eDV9fXyQnJ6NPnz7YsGEDrl+/jt27\nd2PlypWIj48HACQnJwMArl+/jurqaowZMwbx8fH4xz/+ge3bt+PatWt45JFHMHfuXCUXh4ioR7Do\nJCKSgY+PD4xGI6KiohAWFgYAiIiIQGxsLJKSkgC0f1h91apVeOeddxAaGgq1Wo133nkHp0+fRmFh\n4W1tPxFRT2PRSUQkg+LiYnh6euLkyZOYNGkS+vfvD3d3d8TFxaGioqLD6fLz8/GnP/0JHh4e8PDw\nQN++faX5ERHdyVh0EhH1sFOnTqG4uBjjx4/HvHnzEBMTg6KiIlRVVWHRokXS2eoqlarNtH5+fli9\nejWMRqP0X21tLR566KHbvRhERD2KRScRUTe1HCY3mUzYtWsX5s6di+eeew7h4eGoqamBh4cHHB0d\nkZqaik2bNknFppeXF9RqNXJycqR5LVq0CB999BHOnz8PoHm855YtW27/QhER9TCt0g0gIrrTzZw5\nE1qtFmq1GmFhYViyZAkWLVoEAFixYgWWLFmC119/HVFRUXj22WdRVVUFAHBxccF7772H8ePHw2w2\nY//+/YiJiUFNTQ1iY2ORn58PNzc3TJ06FXPmzFFyEYmIuk0leIE4IiIiIpIZD68TERERkexYdBIR\nERGR7Fh0EhEREZHsWHQSERERkexYdBIRERGR7Fh0EhEREZHsWHQSERERkexYdBIRERGR7P4fym3Q\nww18AbAAAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x7f7a9b945358>"
]
},
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 51,
"text": [
"<ggplot: (8760285807957)>"
]
}
],
"prompt_number": 51
},
{
"cell_type": "heading",
"level": 3,
"metadata": {},
"source": [
"ggtitle()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"`ggplot` charts are constructed on a layered basis. the `geom_title()` layer can be used to add a title to the chart."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"ggplot(df, aes(x=\"Date\",y=\"Cash\")) + geom_point() \\\n",
" + ggtitle(\"Payments made over time\")"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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zc7XMv6ZhWzeP4rzb2NjI+ltbW8Pd3R1qdY242u8vp6a19xpRdN64cQOenp5S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mVLODk5IS4ujhnMenh4IC4uDoQQTJkyBQYGBmjXrh2zlefXX3/F0KFDcenSJQQFBbHaYdGyekkd\n3rx5EydPnlTavgUo912pqamIj49HUlISRo4cCTc3N9y+fRuJiYmwt7dHs2bN8OOPPwIAFi1aBLlc\nDl1dXdy/f1/pPXn79i02bdoEAwMDNG/eHKGhoaz3Lzs7W2k7S2W/IwAqNRFRF6EznSWozOhAoVBU\nKjRYydFxdaKurq700S9JyVFY8ZnQT10ra+agvAiFQggEAlYnU3LWRkdHB2/evGGV4/P5TIfK4XBg\nY2PD+AD8HOHh4cyy7bx58+Dv7//Fz/ApeDzeF+9JrSq0tbXx9u1bqKmpwdPTEwcOHKjwHq/y0qFD\nByQnJzOzY9nZ2Z/dO1waDg4OcHV1xcaNG/H27Vvo6OggIyOD1eZMTEwgFovx+PFj8Hg8yOVypYFE\nae9akyZNmC0Nw4YNQ1xcHGvZq7Yprb1XlJIzcuWl5Gx2aW1YRUWF1XaEQiE+fvzI/Mal9R+A8nvd\nEGnSpAm4XC6Sk5OhqamJcePGMdsritDU1FQyZMqCw+FAKBSyjJeidlwyX1m/g6qqapXvG+XxeFBV\nVS1zD3nJVRlAeVayvPcTi8XIzMyEoaEhEhMTy+xr27dvj+Dg4Ar3RbVNVFQUpFJpufPX1ZlOanSW\noDI/1J49e7Bw4cJqlYtStTg5OeHw4cMACo2jhISEWpao5tHS0irX7HxlKTJwvwQbGxu8f/+eObRQ\nGiWNmNI+zGVR2oe7IfApg4NSvZRsk6UN+kszvOorKioq4PF4GDlyJHx9fWtbnAbJtm3b0KdPn3Ln\nr6tGJ11erwK+RoOlvlN8JF7ZPTb1nS9Z6ikPVdHRFRQUfPY0cGkQQiAWiytUpqF8/Cl1g5KGfmlt\nuCENBp4/f47IyEgMGDCgtkVpsJT0IFFfoUZnFTBjxowqqac++uaqyHT/5+DxeEqb2osOTRVRnvCh\nJU/ff4riM9M//PBDOaWs/xQ/9d62bdtK11OeeNmjRo2Curp6heoVCATMeyCRSODk5AQbGxtGboFA\nAJFIxCrTokUL1unq5s2bo127dozPUpFIBIFAoHSv4m2ldevW0NbWrpCsdREOh8PoSigUKp2gLi8l\nA1t86l4ymYxJlxYMoGQ7+VrirBcdlgQK+zZbW1tWe+NwOBg3blxtiVelFPccUZEDOiWpTNso7pe4\nvH1Nedp2XaShBFSof1ZOHURTU5Pl4gAodJ906dIl1rWiQwAikQhGRkYIDg5G586dIRKJoKGhgatX\nr+L8+fOsMqdPn8bGjRuZF9LIyAhz585l0qamprh37x7ro8rhcNCrVy8mra6ujoiICIwYMQJSqRQq\nKiqYP38+AgICmJdWTU0Nr169gqWlJTgcDgQCAY4ePcqaznd2dkZAQACaNGkCkUgEMzMzPHz4ECtX\nroRUKgWPx0Pz5s1ZRjiXy0VYWBi6d+/OXLOyssKhQ4egrq4OLpcLTU1NPHz4EI8ePYKKigo4HA4a\nNWqE27dvY+nSpXBzc8P48eMRGhqKNm3asJ7z0aNH6NSpE3R1deHk5IQnT57AxsaGyWNgYIB9+/Yx\nH2Iej4edO3eiU6dOTJ6xY8di9uzZrHpv3rzJMtDs7Ozw3XffMWkVFRXWCVsA+PnnnzFixAjWtdDQ\nUCxfvhxSqRQSiQTTp09HScLDw1n32rhxI+uUorW1NZYvX84q06NHD1YeJycn1ol8LpeLiIgI6Ovr\nM9dmzpyJlStXMvo8ePAggoKCmI8hl8vFvHnz0LlzZ1Y9t2/fZsk3cOBABAYGomnTphCJRDAxMVGK\nTiOVSjFq1Ch4e3vDzc0NY8aMwfXr16Gurg4OhwNNTU0EBgayDBW5XI7IyEhMnjwZbm5uWLBgARYs\nWICNGzdi1qxZcHV1xZw5c/DgwQNYWVlBV1cXHh4euHz5Mnbu3AkPDw/0798fhw8fxt69ezF16lS4\nurrip59+YumCw+Fg2bJl8PHxgZubG8aNG4f9+/cjKCgIxsbGTJ4FCxbg8uXLjBHM5/Oxfv161nP2\n69cP27ZtY9Jqamq4c+cOawC5Z88eDB48mPXOJicnM7OxAoEAZ86cgYeHB1NGV1cXz58/xzfffAOR\nSAQtLS1cunQJTZo0YfJIJBIEBgYyOpXJZIiIiGB09cMPP+DChQuYPHkyc++2bdsiODiYJd/s2bMx\nduxYiMViSKVSrF+/HsHBwWjVqhVEIhF0dXVx584dDBo0iCkjFovx7NkzrF69Gm5ubvjuu+9w5coV\neHl5QSwWQyKRYOnSpXjy5AnU1NTA4XCgoaGBp0+fYvXq1RCLxeByuTA2NsbIkSOZejkcDk6cOIFf\nf/2VkVFPTw8bNmxg6b1kfwsoD/7XrFnDSvP5fOYgThGHDh1iGSFTp05V2td74cIFxmE3l8vFhAkT\nWO8aUOhOx9LSErq6uujbty8CAwMxf/58uLq6YsqUKfDz82P6fz09PSxevBhLlizB3r17WTq9fv06\na5b+xx9/hI2NDXg8HgQCAb777jsEBwdDKpUy/WRcXBwsLS2ZMt7e3vDy8oJEIoFEIsGiRYsQFBTE\nPCefz8fFixdx//59ZgAnFAqVPDVMmTKF1d6AQtdLxTEyMmJ5QuDz+Xjy5AlrYDhjxgwsWrSI0d+k\nSZNYJ8wBYNasWQgMDISWlhZEIhFsbGyYg6JFtG/fnjW41NXVxePHjzF69Gi4ublh+fLlSodEVVVV\nsXHjRgiFQnC5XFhYWCAoKAg///wzM8B1cHDAtGnTmDI8Hg8PHz5kvSOdOnXCr7/+yqr70qVLrOfs\n0KEDFi5cyJQTCARYvHgxq8zWrVvRs2dP1rWSnhyKvD8U5/jx4+WeUKnr0D2dJajJfRDVwZe4ZKhN\nqN5rh6rS+6BBgxh/s0ChK61Lly6x/EFWNV+7zmsLqvfageq9dqB6Lxu6p5NCodQoM2bMgJ6eHoDC\nTrpr167VanBSKBQKpf5BIxJRKJQvpmvXrjh8+DAuXboEExMTpSUkCoVCoVCo0UmhUKoEU1PTLzpI\nQKFQKJSGDV1ep1AoFAqFQqkjPHz4EDNmzMD8+fOr1ZdybUCNTspnyc3NRXR0dIUjZ3wtfPz4ETEx\nMRWOHPP27VvExMTUiY31//33H/z8/MqMCV+cgoICvHz5ssGEZqsrZGRkIDo6+osPLrx+/RovX76s\ncCSs9PR0REdHM1GM3r17h+joaMana3Z2Np4/f15mdLPqID8/Hy9evGBCo5aX5ORkxMbGVigKUlJS\nUpllioIW1MdDJl87r1+/xoEDByrU55WHvLy8Sn0vi7elBw8eYMKECTh58iQOHjyIoUOHVnnkqNqE\nLq9TPsmrV68wfvx4JCUlQU1NDVOmTGkwvuWqgtTUVHz33XeIjY2FVCrF0KFDMW/evDLLrV27FocO\nHUJ2djaMjIxw8OBBJiRnTbNr1y54eXkxjqqtrKxw7ty5z5Z5//49RowYgaioKIhEIvTt2xdLly6t\nAWkbNsePH8fatWuRnp6OJk2awNfXl+UirLwsWbIEZ86cQW5uLlq0aIGDBw+Wy8ftoUOHsGHDBmRk\nZEBXVxe9evXCn3/+iffv36Np06b46aef4OPjg//++w8aGhqYO3cuy41SdZKeno4RI0YgJiYGIpEI\nAwcOLDMKHCEEP/zwA65fv478/Hy0bdsWly9fLrPM7NmzcfPmTRQUFMDCwgL79u1T8g179uxZrFy5\nEmlpaWjUqBHWr18PW1vbL35OSvWze/duliuj8vR55SEhIQFjxoxBYmIi1NTUMHHiREycOLHMcqdP\nn8aqVavw7t07NG7cGLq6uqwY80+ePMGNGzdYLtXqM9RlUgmoe4f/w9PTEzdv3mTS+vr6uHr1ark+\nYBWlPup96tSpOHPmDJPW0dFhfPF9ivj4eHh4eLBmRvv06cPy9ViTGBoaKs2G/fPPPyyHzyWZO3cu\nDh06xKTV1dVx4sSJSjsirywNyZVJQUEBunTpwoo6Ymdnh5MnT1ao7sePH2PgwIGsOPOenp5KPgZL\nkpeXh65duyI2Npa5JhQKWTHuS4ZybNasGW7evMly0F1dfP/99zh27BiTlslkOHXqFFq0aPHJMlev\nXsXkyZOZNsLhcDB//nzMmTPnk33MpUuXMHXqVGaml8PhYMaMGfjpp5+YPIQQdO3alRWa1cbGBmfP\nnv2iZyyLhtTea5OK9nnl1fuIESNw/fp1Ji2Xy3H58mVoaGh8sgwhBJ07d8aLFy+YayXDE/N4PPzx\nxx8sX9floa66TKp3M50ikahaI/dwOBxkZWVBIBCwHGLXF7hcLhMJ40sp6niLyMrKQk5ODsspeVVR\nH/VecskjIyMDGRkZn9V/enq60tLkhw8fquw3qyilLR8mJyfDwsLik2XevXvHSmdkZCAlJaXGn6Eq\n23pNUlpbz8jIUHrfcnNzK/x8r1+/ZhmcQOHvVVY9Re92cUp+mEuGcszJyYFCoaiWQWhJSr4z6enp\nSE1N/exzJSQksIwFQghevnz52T4mISGBpQdCCJKTk1n3+fjxY5X8VhWlIbX32qS0Pu+///77ZJ9X\nXr2XNEwzMzORnZ3NcmhfWpmSbalRo0bQ0dHB8+fPwePx4OTkBDc3twoP7uqa3ouoO5KUk+qOFy0Q\nCCCTyZCZmVknRmUVpSpHw23atEFwcDDzsZHL5ZDJZNUy2q6Peu/QoQMCAgKYTsPIyAjGxsaf1Y+x\nsTGMjIwQFRUFoDAKiZ2dXa3NYKipqbE+6BwOB23btv2sPF26dMGtW7cYo9vY2LjMMtVBfZ75KdnW\nBQIB5HI5kpOTARR+6Fq2bFnh57O0tISRkREzY6mqqoquXbuWWY9EIoGenh7+++8/AIWzK+rq6sze\nND6fD7lcjpiYGOaj3bRpUwgEghr5DZycnHD79m1kZmYCKJxlLUs/zs7OkMvlSExMBFAYOc7T0xMf\nP378ZB/j7OyMpk2bMitqmpqacHd3V7qPoaEhEhISmLSJiUm166EhtffapLQ+z8LC4pO6La/erays\nEBwczDyjXC6HtrZ2mWX19fWZ9sbhcGBubo5ly5bh77//hoaGBtzc3FgrDuWlJvWuqalZ7ry8pfVs\nM1bJUXxVw+PxoKKigqysrAptPK8rCAQCpRmJytKlSxe8f/8eAoEAZmZm8PX1rXAs7fJSH/X+zTff\noKCgAIQQtGzZEuvXr//sqBYoXLJ0cnLCy5cvoauriwEDBmD27Nm1FpN63LhxOHToEHJyciAQCODn\n51dqGLbiWFlZQSAQ4OPHj2jWrBl+/fVXGBkZ1ZDE/0dVtvWa5FNtvVevXoiNjYW2tjacnZ3xyy+/\nVHh2QyqVws7ODnFxcWjatClGjBiBsWPHllmOw+HAxcUFL1++hI6ODrp164ZNmzbh1atXaNy4MVxc\nXLB9+3akpaVBRUUFFhYW8PX1rbGZNxsbG3A4HOTn56N58+ZYu3YtDAwMPltGQ0MDFhYWSExMhL6+\nPqZOnYoxY8Z8to/R1NREmzZtkJSUBH19fUyaNAn9+vVTyufi4oK4uDhoaWnByckJa9asqfbZpIbW\n3muLkSNHwt/fH3l5eRAKhdi/f/9n+7zy6t3JyQkfPnwAn89H69atsWXLFshksjLLubi4IDY2Flpa\nWujSpQtWr14NVVVVWFlZoVWrVpVe2a1JvaupqZU7L93TWYK6tv+kotTn0TDVe81Tn/VOdV47UL3X\nDlTvtQPVe9nQMJgUCoVCoVAolDoFNTopFAqFQqFQKNUONTopFAqFQqFQKNUONTopFAqFQqFQKNUO\nNTopFAqFQilGXThlTaE0RKjRSaFQKBQKgICAAHTr1g0ODg7o378/KzIMhUL5cqjRSaFQKJSvnvz8\nfCxYsABPnz5FQkIC7t+/jx9++KG2xaJQGhTU6KRUC9nZ2QgLC2OigVAoFEpdJi0tDenp6axrb968\nqXE5Xr9+jdDQUKXQn8UhhCA6OhoRERHldhj/9u1bhIaGMlGmviZiYmIQERFRL/2ENjSo0UmpchIS\nEuDu7o4BAwbA3d0dq1evrm2RKBQK5bNoaWlBS0uLdU0ul9eoDAcOHICbmxsGDMGTPx0AACAASURB\nVBgANzc3PHjwQCkPIQTTpk1Dnz590L9/fwwcOBBZWVmfrffUqVNMve7u7rhx40Y1PUHdghCCmTNn\nonfv3ujfvz8GDBjAhO+l1A7U6KRUOQsXLsSzZ8+Qk5ODlJQUHD58mIkpTaFQKHURHo+HzZs3o127\ndmjZsiW6deuGdevW1dj9CwoKsG3bNiQnJyM3NxcvX77E8uXLlfJdvXoVFy9eRHp6OrKyshAUFFTm\nwH7jxo1ISEhAbm4uYmNjsWrVqup6jDrFnTt3cO7cOUZXISEh8PHxqW2xvmqqN1gs5aukZMiwzMxM\npKWlQU9Pr5YkolAolLJp06YN/vrrr1q5d25uLnJzc5WulSQxMVHpekpKyifrVSgUyMnJKbPehkhS\nUpLSs9PDYbULnemkVDkdO3aERCJh0kZGRjAxMalFiSgUCqVuI5VKYWxszKT5fD7atm2rlK9nz54w\nNDRk0lpaWhgwYMAn6+VyuTA1NWXSHA4HrVq1qhqh6zhdu3aFkZERk9bU1ETfvn1rUSIKb+nSpUtr\nW4iK8P79+2qtn8fjQUVFBVlZWfXSV5tAICj3xvLqokOHDuByueByuTA3N4evry80NDQ+W4bqvXao\nz3qnOq8dqN6rD1dXV/z777/Q1taGi4sLli1bBi63cG6oSO9qamqws7NDcnIyDA0NMXPmTLi5uZVZ\nb0pKCjQ1NeHs7IzVq1eDx+PVxCPVqt5VVFTQsWNHJCYmwtDQEFOnTq2w0Unbe9moqamVOy+HEEKq\nUZYqJykpqVrrFwgEaNSoEVJSUurlSTeJRKK0vF0foHqvHeqz3qnOaweq99qB6r12oHovm6ZNm5Y7\nL11ep1AoFAqFQqFUO9TopFAoFAqFQqFUO9TopFAoFArlK2P37t1wd3eHh4cHjhw5UtviUL4SqMsk\nCoVCoVC+Iq5cuYLffvsN7969AwDExcXB1NQUtra2tSwZpaFDZzopFAqFQvmKuHjxImNwAoUhMq9c\nuVKLElGys7OVTslnZmainp31LhNqdFIoFAqF8hVhbm4OoVDIpKVSKczMzGpRoq+XvLw8jBo1Cp07\nd0bnzp2xefNmxMfHw8XFBV26dIGzszNu375d22JWGXVieT09PR0nT55EZmYmAMDW1hb29va1LBWF\nUj1kZ2dj2bJlSExMhLW1Nb7//nvGFx+FQqFUN6NHj0ZQUBACAwPB4XDg7OyM3r1717ZYXyWrVq3C\ntWvXmBnNnTt34sKFCwgPD2fyLFy4ENevXweHw6ktMauMOvGl43K56NWrF6ZPn44JEybgwYMHnw3r\nVVe5fPkyunTpAnd3d0RFRSE+Ph7ffvstDA0NMXz4cACAr68vzMzMYGlpifPnzyMxMRGenp7w9PTE\nf//9BwD48OEDtm3bhiVLliA6OhqRkZHo1q0bnJ2dER4eDkIIdu/eDQ8PD6xfvx4AEBERATc3N9jb\n2+P27dtIT0+HnZ0djI2NmTi7iYmJOHr0KM6cOYPU1FTExcVhypQpcHd3x+7du0EIwb179zBw4EBM\nmTIFHz58wPv377Fu3Tr06NEDXl5eyMvLw/379zF16lQsWbIEGRkZeP/+PXx8fDBp0iTcv3+fudfS\npUuxfv16ZGVlITo6Gp6ennB3d8fNmzdRUFCAOXPmoEOHDli0aBHy8vLw/PlzrFmzBj/++CMuXLiA\nDx8+YNq0aejRowf27t2LnJwcJCYm4vfff8f58+ehUChACEFERAQCAgIYX2oXL16ElZUV7Ozs8PTp\nU+Tn52PSpEkwNzfH6NGjkZGRgdzcXAQGBuLhw4dQKBRITk5G9+7dYWNjw4TB27FjBwwMDNC8eXNE\nRkbi3bt3cHFxQbNmzTB69GgQQrBx40YYGhqiRYsWePfuHZKSkiCXyyGXy9GmTRsQQrB+/Xr06dMH\n27dvR15eHgYNGoT9+/fj6tWrWLduHRYtWoTu3btDX18fPXv2xNu3b3H58mX069cPvXr1wqlTp5CX\nl4dNmzaha9euGDFiBF6+fImnT5/CwcEBHTp0QGhoKBQKBYYNGwZjY2P06dMH+fn5ePHiBebMmYO5\nc+fi5cuXAIDz589j8uTJ2LhxI9LT0+Hn54c5c+bg3r17n2zbwcHB6NWrFwYPHow3b94gKysLAQEB\niIiIYDrLGzduoFu3bhgxYgQ+fPgAhUKBu3fvYvfu3QgODkZeXh5WrFgBa2treHp6IjU1FW/evMHc\nuXPh4eGBdevWsZb8ilAoFAgJCcH9+/eRl5cHAMjJyUFAQADCwsJACEFkZCQmTpyIsWPH4uHDhwAK\nffreunULycnJpT6TQqHA1q1b8fPPPzO6effuHVauXIlffvkFaWlpIIRg0aJFsLKywqhRo5CZmYno\n6GhMmTIFP/30E9LT0wEA48ePh4WFBby9vQEUhhk8fPgw9u3bxwymQ0NDsXXrVgQHBwMANm/eDFtb\nW0yZMgWEEISHh2P8+PHw9vZGXl4esrKysHPnTowbNw6nT58GAOzfvx8tW7ZE69atsWfPHuTl5WHl\nypWwtbXF3LlzAQBpaWk4evQojhw5grS0NCgUChw9ehQ//fQTAgMDARTG+d63bx+8vLwQEhKCzMxM\nTJs2DVZWVpg5cyZyc3OxYsUKmJmZwc3NDdnZ2Xj9+jVGjRqFdu3aYceOHSCE4J9//sHixYtx7Ngx\n5v0LCwvD/PnzcfDgQRBC8O2338LAwADDhg1Dbm4u3r9/j/3798Pb2xtBQUEghCAkJAS7d+/G3bt3\noVAocO/ePZiYmMDY2Bh79uwBIQSjRo2CkZERHB0dkZaWBl9fX+Zd69GjBxQKBYYMGQIzMzPMmzcP\nHz58wKlTp2BgYAC5XI5FixZBoVBg1qxZMDY2Rrt27ZCcnIwXL15g2LBhGDNmDFJSUpCeno5Zs2ah\ne/fu2LVrFwDA398f1tbWcHFxwfv375GSkgIXFxdYW1vj2LFjAICHDx9iwYIF8PPzQ35+PpKSkrBm\nzRqsW7cOiYmJAIDY2FjcunULb968YX6HnTt3wsvLC8+ePQMhBP7+/hg0aBAWLVqEjIwMEEIQEBCA\nLVu24MmTJwAKDwG5ubnB19cXAPDy5Ut06tQJFhYWOH36ND5+/IiDBw9i7Nix8PPzY/r2adOmYfz4\n8bh37x58fHzw7bffQl9fn9nLqVAoMHv2bHTp0gX+/v5ISkpC27ZtIZfLYWZmhvT0dGzYsAEtW7aE\nvb09UlJSlPpSoDA+vIuLCzw9PZGYmAhCCBYvXoz+/fvD398f2dnZ2LRpE+zt7TFhwgRkZWXh7du3\nmD17NgYNGoR//vkHAODn54cuXbrghx9+gEKhQFZWFoYPH47u3bsz35rjx4+jT58+WLFiBfLy8nD7\n9m2YmprCxMQEQUFB+PDhAyZNmoROnTrBx8cHmZmZCAsLw8CBAzFx4kS8f/8eOTk56Ny5M+RyOays\nrPDs2TNMmzYN+vr6aNKkCfNNGDp0KFq2bAkvLy8QQuDl5YVmzZrBzMwMR48eRUZGBpydnWFqaorl\ny5cjLy8P06ZNQ7NmzWBra4tnz57h0aNHMDY2hlwuR//+/REZGclaQk9NTcXz589ZfdV///2HrKys\nUvux+kaddA5/6NAhdOjQAc2bN1f6W111Dj9y5Ehcu3bti+/v7++P8ePHf9YZrYaGBvOxAwojDxQU\nFHy2XhUVFXA4HHz48AFAYQSBktGdhEIh81EvQiwWK8WuLQ6HwwGXy2Xd397eHoGBgcyLVB75gMLB\nx+ciJ6irqyM7O5v5XUxNTdGmTRtcuXIFOTk5aN26NYyNjfH333+XeS9zc3NERUWBx+PBzMyMMVSK\nUFFRYYyFqqQ0HdckRkZGiI2N/eTfhwwZwgxkitizZw8WLlyoVE9CQgLEYjF69eoFmUyGP/74g5Wn\neDvgcDjl2pskFApx7tw5ZqkvPz8fo0aNwr1796BQKGBlZYWdO3di7NixePz4MYRCIZo2bYro6GhW\nPY6OjoiJiUFycjL09PSwcOFC9OvXj/l7QUEBzMzMWL/xihUrsGTJEqatFkVs+VzbLe25JBIJxGIx\n0tLSAACqqqpwd3fHsWPHoFAowOVyIZFIPtu+eDwepFIp6x0tz3vE5XKhrq7OGO/q6uoQi8V4/fo1\nk6dv3764devWF8egFggErD5ST08Pw4YNU2o/JSnZ98jlciQlJTHtxNDQ8LNttC6ip6fHGtyoqakh\nMzOT6c/4fD7c3d0REBCAN2/ewMDAAKtWrcKkSZOYPrmoXHHdcLlc2NnZMe9RaW1HKpUqGSQlf5uS\n6dJo2rQpkpOTK7yHsHhf6ujoCEIIrl69yspT3ve/OCWfq7Q6dHR0GAO+oTN06FD89ttv5c5fV53D\n1zmjMy0tDXv37sW0adOQm5vLeiGBwv0PKioq1XZ/Pp8PTU1NpKWllTv01YcPH0o1kCnVT3k6U0r5\n4XK5SE5OZi3jNG7c+LNlqjpixzfffMMMHA4ePIi5c+eyjC0LCwtERERUqE5zc3PcuHGDSfv4+GDj\nxo1VIm95qMxHl9KwKDloaIgGE5/Pr5chI+sLd+/ehYmJSbnyVsaWqSyNGjUqd946saeziNzcXBw9\nehQuLi4QiUQICAjAzZs3WXmKNtZWN5qamuXOS1+y2oManFWLQqHAqlWrsHHjRhBC0K5duzLLVHWI\nuNTUVHh7e6Nt27bIzMxUmt2rzAx0fn4+du3ahcOHD8PKyqrGZ5upwUkp2QYaYt9Fv4XVC4fDqZCB\nB1TMlqkJ6sxMZ0FBAfz9/WFqagoHBwcAQEZGRr2Y6VQoFNDV1a02mSilIxKJoKqqirdv31a4bPFt\nA3QWquIU11nLli2V9iB9CUUzp0KhEM7OzoiMjERcXBwAQFdXF71798bu3bs/uxXjU3UWoaWl9cXL\nyxRKRSg+0ykSiaCtrV3t28VqAtp/1gx8Ph8xMTGQSCTlzk9nOj8BIQSnT59Go0aNGIMTKNyPpK6u\nzsqblJRUIyPE/Pz8ct+naHM+pWopuVQjk8nQuXNnBAQEQCKRYPv27Zg0aVKl6lZVVYWTkxN4PB7u\n3LmjtL+1oWBjY4OwsDAAhftuEhISqqResVgMR0dHiEQiLF68GHZ2dlVSr7q6OjIyMgAUDjCLDt/s\n3LkTCoUCEydOxI4dOypkcALKs7HU4KRUNYaGhkhOToZIJIKnpyd27tzJ+ntBQQFGjhyJpKQkWFtb\nY8OGDbUkadVCDc6aIT8/H3w+v8L2T0VsmZqgThidcXFxePToEZo0aYLt27cDALp164YWLVrUsmTl\ng7q7qR5UVVVZp5klEgnWrl3LmukWCASVqlsqlWLv3r0ACvcINlQ2bNgAU1NTAMBvv/2GdevWVUm9\nEomE0V9VIpPJGKMTKJxFad26NeuQUsmPOYVSF9i6dStsbGwAgDnRXhwul8t4EgHQYIxOCqUi1Alr\nycjICEuXLsXUqVMxZcoUTJkypd4YnADQvn37cuctfkBDX1+/UveTSqWVKlefkMlkGDduHLS1tQEU\nzqx17txZaWvF7NmzwedXfOy0e/du5v9+fn5fJmwdpvim8+nTp5eZX01NrVz1jhgxokJyqKmplfpO\nFx+waWhoYObMmcxvLhKJ0KlTJ8hkMlaZ6dOnM6cleTwe2rRpozTwK+74msvlwtjYmPV3PT09pROX\n1eUDj8vlsuQRCATQ0tKqlnuVRsn3w8bGBq1bt2bSenp61XKvyryX9RlLS0vm/3369IFYLGb9vWPH\njqz0oEGDakSu6qZ9+/bM8qpQKGTpgVJ1LFmypLZFqBLqhNFZ3+FwOHj16hU0NDQAFH5kjh49ipcv\nXzIzcUKhEK9evcKSJUvQtm1bjBw5Evfu3cONGzcgEonA4XDQtWtXHD16lDGstLS0cP/+fUycOBFa\nWlrQ1dXFTz/9hJCQEHh5eaFTp04YPnw4Lly4wJqtMzc3x19//cV8iI2MjPDixQusXLkSGhoakMlk\n2Lx5M6KiotC8eXPw+Xw0b94coaGhGDduHIRCIaRSKX7//XeEhoZCLpdDIpHA09MT//zzD/MxEYlE\nWLJkCR4+fIgmTZpAIpFg+vTpSEhIgKGhISPP2bNncfLkSUgkEnC5XFhbW+PZs2f49ttvIRAIIJPJ\ncOzYMfj5+cHe3h69e/fG+fPnMWfOHOzcuROTJ0/G6tWrS52lGzJkCA4cOID27dvj22+/RVBQECZO\nnMj8Lv/73/9w7949xpgSCoW4dOkSzM3NmTpsbGxw+vRpxkWOtbU1YmNjWUaIk5MTgoKCWPeOiIiA\njo4Ok/b29saBAwdYeZ4/f4558+ZBR0cHVlZWiImJUeqUS86K/PLLL9izZw+TVlNTw+3bt2FiYgI+\nn49mzZrh6tWrLEMGKPQVWYSqqiri4uJYzyASiRAZGQmRSMTUe/fuXUyePBkdOnTATz/9hEePHjHO\n6jkcDmxtbfHkyRO4ublBKBRCQ0MDW7duxf/+9z/WvRMTE1mDoePHj+Pw4cOwsbFhfOrduHEDAwcO\nhEQigZGREaKiorBnzx5YW1ujV69euH//Pjw9PbFr1y7mNy/thLmdnR0OHDiAWbNmYfHixfj7779x\n4sQJtGzZEvr6+li5ciWCg4PRr18/tGvXDuvWrcPt27exZMkSWFlZYcSIEbhz5w6OHTuG8ePHo3Pn\nzpgxYwZu3LjBHJzi8XhYt24dYmJioK+vD7FYjGHDhiExMZGZzeJwODh8+LCSq6i4uDj07NkTEokE\npqamCAsLw5EjR9CtWzd06dIFBw8eRHJyMvr27cu4HJsyZQpWr14NoVAIoVCIlStX4vjx44zh0rRp\nU8TGxqJPnz6sdvHixQvGKFdVVUV4eDg8PT3B5/OhqqqKK1eu4Nq1a7C0tISenh5mzpyJU6dO4cSJ\nE5gzZw6+//57XLx4EX/++SdkMhkEAgG6dOmCoKAgdO/eHUBhf7Z48WLExMSgcePG4HA4aNKkCSIi\nIrBmzRrGT62fnx/++usvdOvWDY6Ojjh48KCSlwF/f3/s3bsXBgYGMDQ0xJEjR3D16lVoaGiAz+cz\n0VesrKyYMkOGDEGzZs1Y9ZTcdlUaVlZW8PLyYtJF7sqKD2K8vb1ZTtEnTJiA/fv3M2mJRILY2FiW\ngejs7IxHjx6xfodXr14x/QdQ+K6Fh4fD1tYWjRo1wrRp03DkyBGWfL/99hsWLlwIkUgEHo8HOzs7\nnDt3jhl08fl83L9/H8OHDweHw4FAIMDJkycREREBDQ0N8Hg8dO/eHfHx8XBycmLqdXBwQGBgIHOA\nRCAQ4MyZM+jUqROTp3v37oiOjoaxsTF4PB5MTU3x8OFDuLu7QyAQQF1dHbt27VJq23/88QdrsmTW\nrFk4ffo0887+8ssvOHfuHH7//XeIxWIIBALMmTOH8akJFA4uf//9d1a9ampqWLNmDbS0tCCVSrF0\n6VIkJCQwfRVQ+B0pWgkFCg8V79+/nzXg3LdvH8vbRuPGjZXc4Xl7e2PAgAFMH+fq6oolS5Yw9ejq\n6ipFAGrWrJnSoLRDhw6sgVXbtm0xZswYVp6IiAjGIOdwODh37hxrksrBwQE7duxglRkyZIjSvs3x\n48dXeitZXaPOHCQqL3XVT2ddoard19QUdU3vhBD4+Pjgn3/+AZfLxYQJEz47M1Ebev/nn3+wbt06\n5Ofnw97eHgsXLqzwbF1d03tFqA2dFzmEfvDgAfh8PmbNmgVXV9cK1VGfdQ58ud537NiBP//8E0Ch\nz9Bp06aVWaZ3794ICQlh0kZGRrh16xZj6N29excjRoxg+RQePnw41q5dy6S/dr2Xh/j4eHz//fd4\n9+4d9PT0sGXLFqWVhoryKb37+/vD398fADBgwACMGzfui+5TXUgkEjx9+hQeHh6sveAuLi6sFbOq\n4uPHj/jxxx8RGRkJsVhc6T3zddVP59e1/kGhlJP9+/dj3759jHPiFStWwNLSEi1btqxlyf6Poli9\nlJpj06ZNOHToEONyafHixbC0tIRcLq9lyeoHN27cYCJhAYVGTqtWrdCtW7fPlvv5558xZ84cJCQk\nQEdHBxMnTmTNLNrb28PV1ZUJFGFmZqYU0IBSNpMnT2YOHj59+hQzZsxQWr2pKooi8dUHjIyMMGDA\nAJw4cYLxy71s2bJquZe3tzdOnTrFHJb88ccfcf78+XJvfarrUKOTQimFe/fusaJhpKSkICAgoFxG\np0KhwJs3b6CmplZu9xaU+kFoaCjLx2dSUhIePXpEjc5ycuPGDVY0tfT0dFy/fr1Mo9PBwQFnz55F\ndHQ0E/qyOBwOB5s3b8bTp0+RlZWFNm3aKO2ppHyevLw8JWf1nwoh+zXi7e2NUaNGITU1Febm5tXm\nuvH58+cs7xz//vsvYmNjG8yBV2p0Uiil0KpVK5bLJnV19XJtkH/79i1GjRqFxMRESCQSTJs2DSNH\njqxucSk1hLGxMcsvoba2dp2a/a7rWFtbs8IbSqVSZo9sWWhpaX12mZHD4TDhUykVRygUKs2mFZ1T\noBRiYmJS7ohAlaVJkyasdEFBQbX6Jq9p6EEiCqUUZs6cCTc3N+jr68PIyAgTJkwoV3Se+fPnIzQ0\nFCkpKYiLi8OWLVuYGNyU+s+CBQvQvXt36Ovrw9jYGNOnT6/2j1BDom/fvhg8eDAMDQ1hYGCAQYMG\nYcCAAbUtFuX/s3r1arRu3RpNmzaFpaUldetUC8yePZvlCjAvL4+1N7m+Q2c6KWWSnZ2NW7dugc/n\nw8nJqdK+MesTPB4P27Ztw8ePH8Hj8crti7W4X9Gi9I0bNyAQCNCxY8cadZVTRHh4OF69egU7Ozul\nUTSlYgiFQuzduxd5eXng8/nUR28F4XA4WLlyJbOC8KVulR4+fIiEhAQ4ODhARUUFt27dglAohKOj\n41fnsqkqaN++Pa5evYrc3FzWyXHKp3n+/DkiIyNha2tbaTeIxfnw4YPSgdDKRN2rq9C3kvJZPnz4\ngCFDhuDRo0fgcDiws7PDoUOHlNz1NFQqamBbWFggKCiI+ahyuVzMmzcP2dnZaNasGfbu3cs4a68J\nvL29cejQIbx//x4GBgbYvHkzvvnmmxq7f0Pla2n/1UVVGIQLFizAiRMnkJmZCQMDA4jFYkRFRYHH\n48He3h4HDx78KgbI1QE1OMvHli1bsGPHDqSmpkJPTw/Lli2Dm5vbF9VpYmICAwMDxMTEACjsa6yt\nratC3DoBHaZTPsuGDRsQFhYGQggUCgXu37+Pw4cP17ZYdZZFixbB09MTNjY2sLGxASGEcXPy8uVL\nLF++vMZkSU1NxZkzZ5gQn/Hx8Vi9enWN3Z9CqS6SkpJw7tw5ZGZmAihs21FRUQAK98DdvXsXx48f\nr00RKQ2cgoIC+Pv7M26UkpOTsWXLli+uV01NDVu3boWDgwPatWuHkSNHYv78+V9cb12BznRSPkvx\nk6ZA4cnskkvIXzMhISHw8/NDkyZNMGvWLEilUvzyyy8AgEePHqF///6s/MVjyVc32dnZSv7ZKhqz\nnEKpi2RlZbG8CJSE9lMNE0II9u7di4cPH8LJyQmDBw+uNVny8/OV+vOCgoIqqdvCwqLBDproTCfl\ns4wbN47l+NXIyKjBhG/7Uu7cuYMJEybg6NGj2Lx5M4YNG8b6ELZu3ZoVblAmk7EiylQ3enp6rJPV\nqqqq+Pbbb2vs/hRKdWFsbMxq21KplBWlyNjYmB5QaoDMmzcPy5cvx4kTJ+Dl5YWVK1fWmiwikYgV\nglcsFsPe3r7W5Kkv8JYuXbq0toWoCEVLhdUFj8eDiooKsrKy6uWskEAgqNLZtEaNGsHOzg4ZGRlo\n3bo11q5dCyMjoyqrv4j6qPclS5awwuGlpKTA0dGR2UzO4/GYKBYGBgaYPn06Bg4cWGPycTgc9O7d\nGxkZGdDT08OYMWMwYcIEVp76qPciqrqt1xT1WedA3dA7l8tF79698e7dO+jr62Py5MmYMGECMjIy\nYG5ujt9++03pUAfVe+1QVXpXKBTw9vZmDtV8/PgR79+/x+jRo6tK1FL5nN7d3d2Rk5MDHR0dDBo0\nCHPnzq1wVLjqoibbe0Uc19PldUqZWFtbK8WHpUDp5DKPx1M6uKChoVGr7i4kEgl8fHxq7f4USnWh\nqqqqtEd5586dtSQNpbrhcDhKfW5te48QCAQ08lUFocvrFEolmTdvHgwNDQEUGpwdO3Yst6NrCoVC\noZQfDoeDvn37MtsotLS0MGzYsFqWilJR6EwnhVJJWrdujePHj+PUqVPQ19eHh4dHrY+8KRQKpaEy\nb948ODg4ICgoCI6Ojmjfvn1ti0SpINTopFA+wdatW3H8+HEQQvDtt99i0aJFSnnkcjmmT58OiUTC\nuEaiUCgUSvXg6OgIR0fH2haDUkmo0UmhlMLdu3fh6+vLuF1JTExEq1atMGTIkFqWjEKhUCiU+gld\nC6xikpOTkZCQAEJIbYtC+QLu3r3L8vOXmZmJgICAWpSIUpfIzc3Fixcvqt2bBoVS26SkpCAuLq7O\nnvhPT0/HixcvPuu3lVJ3oEZnFUEIwfTp0+Hi4gJXV1eMGjWqXrq3oBRiZ2cHDQ0NJi2RSGj4SAoA\nICoqCq6urvDw8ECPHj1ohC5Kg8XLyws9e/aEm5sbhgwZUue2EPn5+aFnz57w8PCAm5sbYmNja1sk\nShlQo7OKOH36NM6fP483b94gNTUVN2/exPbt22tbLEolcXR0xMSJE2FiYoJmzZphyJAh8PT0rG2x\nKHWAn3/+Gc+ePUN6ejri4+OxefNm5Obm1rZYFEqVEhwcjGPHjuH169dIS0vD3bt3a9UZe0kyMzPh\n6+uLhIQEpKenIzIyEgsWLKhtsShlQeoZiYmJ1frv9evXhBBCXr9+XaFy33//PQHA+ufu7k6EQiEB\nQMzNzUlkZCQZMGAAEYlERFNTk/j7+5M7d+4QHR0dIhAIyJAhQ8irV69Ip06dCJfLJerq6uSPP/4g\n165dI40aNSJSqZR4eXmRhIQEMmzYMKKqqkoMDQ2Jv78/WblyJREKhUQgbIKD8gAAIABJREFUEJAZ\nM2aQv/76i+jp6RGBQECcnJxISEgI+eabb4hUKiX6+vpk6dKl5OzZs6Rbt26kc+fO5OjRoyQ2NpbM\nnDmTkb9p06bk5s2bxMTEhAgEAmJpaUliYmLI//73P6Kurk50dHTI9u3bSVhYGGnbti0RiUTEyMiI\nHD9+nPTo0YMAIHw+n/z5558kMDCQqKqqEgDE2tqaxMbGEjs7O8Llcommpia5evUqOXHiBGncuDGR\nyWRk+vTp5NGjR2TEiBFELpeTwYMHk4SEBDJnzhyioqJCVFVVyZw5c0hiYiKZOnUqadOmDVm6dClJ\nTEwkw4YNY56hb9++JCAggGhoaBAApFWrViQmJoY8efKEjBw5kgwdOpSEhISQoKAgYmpqSjQ1Ncni\nxYtJYmIi67fs2rUr2bZtG5Pm8XgkPj6e9OrViwAgHA6HLFu2jOzatYvJw+fzyePHj0m/fv2ItrY2\ncXR0JOfOnSO7d+9m8giFQhIfH8+615YtW8jGjRuJhoYGkclkZMuWLSQsLIzIZDICgDRq1IhERkaS\nP//8k+jp6ZHGjRsTPz8/EhISwjynuro6WbVqFRk7dizh8/lEJBKRHTt2kHv37hETExOiqqpK3Nzc\nSEhICHny5AmZPn06mThxIrl48SJ59OgR0dfXJwCIQCAgu3btIkuWLCEymYxoa2uTNWvWMPVwuVyi\nr69PQkNDiZmZGfMM27dvJ1FRUWT69OnE0NCQdO/enVy7do3MmjWLaGhoEKlUSv73v/+RY8eOEWNj\nY2Jubk4ePHhA4uPjycyZM4lYLCaqqqpkzZo1pb5vv/zyC9HU1CTNmjUjwcHB5MKFC0RfX5/o6OiQ\nzZs3k/v375M+ffoQbW1t4uDgQJ4/f07i4uKIt7c36du3L9mzZ0+p9fr4+JCWLVuSDh06kL1795Kw\nsDDSokULIhaLSb9+/ci1a9eU3nOZTEZEIhEBQHR1dUlCQoJSvc+ePSPr1q0jmzZtInFxcSQxMZEY\nGhoSDodDNDU1yblz58jFixeJlZUVadSoERk6dCi5e/cucXd3JyKRiEgkEjJ//nwyceJE5r4tWrQg\niYmJZMaMGURFRYXo6emRv//+m0ycOJGIxWKioaFB1q1bRxITE8mGDRuIlpYWMTQ0JMeOHSNDhgwh\n7du3J2ZmZmTq1KkkICCAfPfdd8TBwYF4e3uT2NhYsn37dtKiRQuip6dH5s6dSy5fvkysrKyIqakp\n2bRpE0lISCArV64kzs7OxNPTkxw7dowEBgYSY2NjAoBoa2uTwMBARl51dXWSmJhItm/fzvSLFhYW\nJCoqinTv3p0AIGKxmPj5+ZHly5cz5VRUVMiVK1dYOj9z5gwxNTVlXXv06BErfeLECbJ582YmLZfL\nyZs3b5h2qq6uTq5du0bWrFnD0umLFy+Io6MjEQqFRC6XkzNnzhBXV1cmz5AhQ0hwcDCRSCQEADE1\nNSWRkZFk6tSpZMCAAeTq1askMTGRPH/+nAwePJjY2NiQdevWkYSEBLJu3TpiaGhIvvnmG3L//n2y\nZs0apt/p1asXefz4MRk4cCBRUVEhxsbG5O+//yZbt24lHA6HACBqamokMDCQuLq6EkNDQzJhwgTy\n6tUr8uuvvxJVVVUilUrJqFGjSFxcHHF0dCQAiEQiIdevXyeDBw9m3umVK1eSxMREcuvWLTJ8+HAy\nYcIEEh4eTgYOHMg8p7W1tVJb79SpEzE3N2fS9vb25Nq1a8TGxoaYmJiQlStXktDQUGJtbU1kMhkZ\nO3Ys+e+//4ifnx/zDIMGDSKJiYmka9eujHw3btxg9YtaWlrkxo0brHsfOHCAbNiwgUm3b9+e6ROL\n/rVu3ZqcO3eOSevq6pLff/+dleevv/4ihw8fJh4eHmThwoUkISGBeHl5sdrpqVOniK2tLXNt4sSJ\nJDAwkOjo6BCpVEq8vb3Js2fPSOPGjZkyAQEBxNfXl9Vuo6OjWe104cKFZO/evUxaJBKRM2fOsOTr\n0KEDS8cAyLx582rMlqnMv4rAIaR+bT5MSkqq1voFAgEaNWqElJQUpbjVnyI3NxfNmzevVrmKw+fz\nq2XpXk1Nrd7tUSupCy6XW669R1KpFFlZWQAKf/Py/tYNDS6XC7FYzOhCLBYjJyenSupWUVFBZmZm\nhcro6uri33//ZV3r168ffH19mfS0adNw+vTpCtXL5XLRsmVLPH36FEChz7/hw4fj119/ZfIMHToU\nt2/frlC9nyIxMZH5/7t37zB48GA8efIEHA4Hbdu2ZUWyqm4MDAwQHx//2TwcDoe1D11dXR0ZGRmf\nLSOTyWh881Lg8/nw9fXFDz/8wLxXAKCtrc1E06nq+1Xme2BjY4MnT55U+yx9VfYpVUXx9l6Zfqo2\nmDVrFv73v/+VO39lbJnKUjxUdllQo7MElfmhtm3bhhUrVlSrXBTK10xxI04ul1dJnRKJBOHh4Yy7\nqxYtWlTZAcBLly6hTZs2AArDpe7atatK6qXUD4oPaimUqqJ4P1gWddXorHcuk0QiUbU64OZwOMjK\nyoJAIACfXz711LXN1RRKQ0MikVR5nYQQ8Pl8SCSSKu+Us7OzGZnpqdqvj4KCgtoWgdIAqUg/WBlb\npiaoO5KUk+peChAIBJDJZMjMzCz3h2j06NFYt25dtcpFqVqqa4tCfaT4loSSy6w1TWlbHUxMTFgD\nO2NjY7x69arCdWtpaSE1NZVJW1hYQCAQIDs7GwKBAHp6elW2kmJjY8PIPGHCBFy7dg0JCQkASt9C\nUJ1Upq2Xpx3weDxqXJUCh8PByJEjsWfPHpZ+yrv1p6YQCAQoKCioUzJRPk3Tpk0rNMFVGVumsmhq\napY7Lz29XgVoa2vjzp074PF4zLWRI0fil19+YdIcDgenT59m/TgDBw5knQZUV1fHnTt3IBQKmWuu\nrq6sfRwtW7bEkydPmHqK9qYVLeUBhcuPU6ZMYdIikQibN29mRjscDgfffPMNZs2aBZlMBnV1dUya\nNAlhYWHQ09NjPVvx04B8Ph8XL15Eq1atmGs9evTA7t27mWcv6nAFAgGTZ/Dgwazn5HA4uHDhAktf\n8+bNQ+/evZm0sbExDh8+jCZNmoDL5UJbWxshISEwNjZm8jRv3hxPnjyBkZERxGIxLC0t8erVK0il\nUiaPVCrFkiVLWM90/fp1nDhxAsbGxjAwMMC+ffuwZcsWRh4zMzM8ePCAVYbL5cLW1pZ17cKFC6wR\nZGmj0BkzZjCulyQSCX7++We0bduWlefPP/9kpc3MzFgRN7p06YKdO3ey8hw+fBhjxowBh8MBULjv\ncePGjaw8jo6OrPbWuXNnrF69mlkpUFNTw549e7B9+3a0adMGrVq1wuLFi7F3715WPZ07d4alpSWT\n7tChA9auXcvKs3XrVlbazs4Ot2/fRrNmzcDj8aCuro6ff/6Z1XaaN2+O4cOHg8fjQSAQYPPmzQgN\nDYWBgQGTx9bWFjdv3mTVffv2bVhbW4PD4YDL5cLX1xezZ88Gl8sFh8NB586dsXPnTshkMnA4HIjF\nYpw9exY3b96Eg4MD5HI5Bg8ejBMnTrDqvXv3Luzs7CAQCCCRSDBixAjs27ePpa958+axyshkMnz/\n/fesa6Ghoay2bWJiAj8/PwwcOBBDhw7FhQsXcOzYMVaZadOmYd68ecy736hRI6xduxZqampMnmbN\nmrHaNgBERkaythtMmjQJjRs3ZtIdO3bEixcv0KFDBwCF7XjgwIHQ19eHUCiEUCiEkZERfv31VxgY\nGEBVVRUODg4IDg6Gu7s7eDweOBwOWrRogfnz50MkEoHP56Nbt26IiIiAo6MjZDIZ5HI5Zs2ahQ0b\nNrDkmzBhgpK8Xbt2ZdI8Hg9nz55lvUceHh6s9xwAvvvuO1a6NE8SJX+HIUOGoFOnTqxrBw4cYKV/\n/PFHWFlZsa5dv36d1X9NnjyZJZ+qqqpS+z969ChatWoFfX19LF26FN7e3rh48SKaNGkCiUQCZ2dn\nREZGwt7eHjweD2KxGL/99hs6d+7M1KGuro5Dhw4xscW5XC5mzpzJygMAixcvhoaGBng8HgwMDBAc\nHMxy59a4cWMEBASw2qCrqyurDg6Hgz/++AOrVq2CkZERWrRogSNHjkAsFjN5JBIJxo0bxypX/LtS\nxIIFCyAWi8Hn8+Ho6Ijff/+d0Z+uri5evHiBjh07MvlVVFQQFRXF0uncuXOVogyNGjWKle7Vqxfa\ntWvHpAUCgVK/OHr0aAwaNIh1zdrampUeNmwYxowZA7lcjnbt2uHp06esPgcAhg8fzvStQOE33sfH\nh0mbmZnhzJkzrDLLli1T+kYcPHiQlW7evDmr/QOFfUhZiMVipW9SfYXu6SxBTe6DqA7qazjGhqD3\nsWPHsg64CAQC+Pv7szrcukZ91vuXtvWYmBgsXLgQOTk5aN++PRYsWFCtW3eKqM86B2gfU1t8qd59\nfHxw+fJlAECfPn3w448/VpVon+Vr13tZ9O7dGyEhIUxaLpfjn3/+YQ0AKgPd00mhNHC8vLwQERGB\nmJgYCAQCODk5wd7evrbFopRCVlYWxo8fj6ioKACFs5NCoVBpJpNCaSh4eXnBy8urtsX46lAoFDh7\n9iySk5Ph4eGhdBBy+vTp8PLywr///gt1dXX07dv3iw3Ougw1OilVCiGEtSzxNSGXy3Hq1ClcvHgR\nMpkMPXv2rPKZs9L0W7RY8bXqvaIQQhATE8PssQQKD/sEBweXWY7quPKUpT+FQlEjM82U+k9VvYsl\n66nKeouYOHEirl69io8fP2LPnj3YuXMnLC0tmXu5uLigZcuWuHPnDszMzNC+ffsvvn9dhr7hlCrh\n5MmTcHZ2RqdOnTB69Og655etppDJZLh79y5WrFgBZ2dn7Nixo0rqjY2NhYeHBzp27AhXV1c8e/YM\nCoUCs2bNgqOjI7p06UIjYJXBlStX0K1bN3Ts2BFLly6FiooK6+9BQUH48OGDUrnjx4+ja9eu6NSp\nE8aOHUujD1WQ4nofPny4ko6vX7+O1q1bw9jYGKampiyfrBRKcXJycjBmzBh06tQJXbt2VdqXXV4e\nPXqEXr16oWPHjujTpw8iIyMxcOBAdOzYET169EBgYGCl6i0oKMD06dOZPtnHxwe3b99mlrfj4+Ph\n4+OD/v37o2PHjujZsyeCg4PRvHlzjBw5ssEbnADd06kE3X9ScVJSUuDu7s7yITZy5EisWrWq3HU0\nFL1v2LABGzZsYJ5BS0sLR44cgbm5+RfV369fP9ZGcktLS7i4uGD9+vXMvTQ1NXHkyBHWobKyqM96\nr0hbz8zMRM+ePVmn3ks7RW5vb8/6kP3777/o3bs30+9wOByMHj2adaigotRnnQNfrve+ffsyB8+y\ns7Nha2uL9PR05u9CoRCXL1+Gqalplcr9Nem9LlGVel+wYAH279/PpOVyOc6ePcs6PFceevTogSdP\nnjBpTU1NpKWlMekWLVrg6tWr4PF4FdL72rVrsXnzZsZbhIaGBnJyclgD1ZL3atWqFa5evVrlqyh1\ndU8nb+nSpUurT5Sqp7oj5vB4PKioqCArK6vCriT+/fdf7Nq1CyEhITAxMQGfz8ezZ8+QlZX1yRNq\neXl5CAsLw+PHjyGVSiGRSPDs2TM8fvwY2dnZ0NLSKnXJKScnB6dOnUJQUBAMDAwgkUiQl5eH6Oho\nZGZmQkNDAwqFAs+fP8e7d++gqamJjx8/4t69e7hy5Qo4HA6aNGmCO3fu4K+//oKmpia0tbWRmpqK\nyMhIxMXFQaFQQF1dHTExMUhJSYGWlhbzYoSFhSEwMBA6OjqIjY3FH3/8wdJXXl4eLl++jNTUVNjY\n2CAnJwc7d+7Etm3bIBKJ0KJFC6SlpWH//v2Ij4+HmZkZVFVV8fTpU1y7dg18Ph9aWlp49uwZTp8+\njbS0NBgYGIDH4+Hdu3eIioqCUCiERCLB48ePsWzZMrx69Qq2trbIysrCpk2bcPLkSZiYmIDL5WLL\nli148OABLCwsWN4BiigoKEBQUBDCwsKgo6MDiUSCN2/eYO/evbhz5w6MjIxACMHcuXMZVyhGRkYQ\niUSIj49HcnIyVFVVsWvXLmafIFD4UTUyMsKHDx+QlpbGdDgvXryAiooKI8v169exZMkSxMfHw9ra\nGgqFAmfOnMHx48ehoaGBkydPstz9FPmrLYqwU9Qmik6sFumqNHJycvD06VN8/PgRMpms1Pb+8uVL\nPHz4EO/fv4dMJlPy80YIwZ07d3D27FloaGhAXV0df//9N5YvX46HDx/CxsaGOc0fGxuLpKQkyGQy\ncLlcREdH4+3bt9DU1ASHw8GzZ89w69YtaGhoQE1NDXl5edi3bx/Cw8NhYWFRavtPSEjAjRs3QAhh\n2q2vry9CQkIYV0jFiYuLwx9//MHq/AUCgdKMvEKhwKRJk5h0aGgo9u3bx1ou4/P5CA8PR1BQEMzN\nzSESiXDr1i1cvHgRUqkUjRo1gkKhQHR0NFJTU6GpqYn09HRcvHgR2dnZkMvlkEqlOHnyJM6fPw+5\nXA41NTXk5+fj6dOnCA8Px8ePH6GpqYlXr17h5s2bEIvFkMlkeP/+Pe7evYuEhATo6OhAIBAgJSUF\nhw4dQlxcHExMTJCVlYXg4GC8evUKampqTN9w584dREVFQVdXF+Hh4Th27BhUVVXRuHFj5Of/v/bu\nPS6qet8f/2vWDDDMwAgIyv0iIiqggal5xXteMs2jRWa1dR/T0vbu9kdW57urk/u0H23but3lLVNT\nO5me0vKSiSbiJXEXppgCooBcVJRB7jCXz+8PfqzHLAYEhXGwXs/Hg4eumVlrPuu9Pmut93zWZ62P\nGcnJybh8+bJ853hOTg6Kiopw7do1mM1mGAwGFBcX48qVK9DpdHBxcYHVakV2drZct1UqFcrKynDg\nwAFUVFTAZDJh7dq1ipOep6cnqqurcf78eXh5eeGTTz5R1D2LxYLY2FiUlpZix44dMBqNiIqKQnV1\nNX744Qdcu3YNAQEBUKvVOHz4MPbs2YOuXbvCx8cHAJCWloaffvoJAQEBcHNzk5erVquh0+mQlpaG\ndevWIS8vD3369EFFRQVSUlJQUlICf39/qNVqlJaW4siRIygtLUW3bt2gVqvx448/4vTp0wgMDIRa\nrVYcW1tKGG7duoXs7Gy4uLjAxcUFmZmZuHDhAqqqquDl5dXsPlpUVIS8vDx4enrCxcUF9fX1OH78\nODZv3ozKyso7SsZv3LiBnJwc6PV6ZGRkYOnSpUhPT4e/vz98fHxQWVmJrKwsOTZAwwPI8/PzYTAY\noFarcejQIWzbtg319fUICgrChQsXsHbtWpw4cQLh4eEwGAyoqKhAVlYWNBoNdDod6uvr5XOfj48P\n9Ho9ioqK8NlnnyEnJwfR0dGoqqrCxo0bcfjwYYSFhcFqtWLTpk3Iz89Hr169IEkSqqursX//fty4\ncQMhISFYt24d8vPz5fWrra1F7969kZycDCEEgoODcebMGaxduxbffPMNfHx87PpQ1tXVYcWKFYqH\n91utVsXjrTQaDUaMGIETJ05ApVLB29sbFosFy5YtwwcffAA3Nzf5KSc//fQTAgMD4ebmhk8//RRZ\nWVmK7/L395fzFh8fH3h6eip+ZLm4uKB///7Ys2cP6uvrERISApPJJD+VIzk5GcOHD4eHh0ebtzvQ\nvlzmTtk+ZaNVdzH8uVN11rHX33vvPcVYqSqVSvTo0UPodDrh4+MjnnrqKbt5zp49K6Kjo+UxabVa\nrQgJCRFqtVoe3/uhhx4SOTk5ivnS09OFVqtVjAO+fPly0a9fP6HX64WPj494+umnxYgRI4SHh4fo\n0qWLGD16tAgNDVWUsXG86Ma/xMREERQUJJfHw8NDBAcHiy5duggPDw8xYsQIkZubK4YOHSp/xtXV\nVcybN89ujF7bPxcXFyFJkuK1rl27ysvA/z+m8GuvvSY0Go0AICRJEiEhIYp5/Pz8xKpVq0RYWJjQ\narUiNDRUHr+38a/p9zT9U6lUIi0tTRHPnJwc0atXL7k8Op1OvPTSS4ryNffn6uoqJk+eLLp27Sp0\nOp3o3bu33fdrtVp5W6lUKuHn5ye6d+8utFqtiIyMFHv37hVxcXF269A4Tn3jn8FgUEx7eHjYzWdb\nXl9fX5GZmWlX537++WfRt29fodPphK+vr3jxxRcV9b2goEDMnDlTrhuSJImYmBhx9uxZeRn5+fki\nKipK8d2N283274svvhBPPfWU8PHxETqdTjzwwANi1KhRwmAwCE9PT5GYmCgee+wxOWYajUa8++67\nimW5uLjY1f8lS5Yo6snIkSPt4nfkyBHFPFlZWXbbpnH8b9u/kSNHyvOcO3fObgzk5v66d++umJ44\ncaIYM2aMMBgMwmAwiISEBDmeKpVKDBw4UAQFBSnmef/998WgQYPkfV+j0Yjg4GC5zGq1Wjz66KPC\n29tb8b1/+ctfFOul1WoV5fH29hbLli0T/v7+iuOF7Xc3XW7Xrl3F2LFjhV6vF5IkCUmShK+vrxg8\neLDo1q2bcHd3F9HR0eLIkSNi5MiRwtPTUxgMBjFu3DixdetWxbHJxcWl1WNDc/uZp6en3bTtPhEc\nHGx3PHv++edFnz595OW5u7sr6sG1a9fElClT7OqtTqeTt01ERIT4xz/+oXgtKipKREZGKpabkJAg\nPDw8hMFgEFOmTBEFBQV2+9oXX3whwsPDhVarFYGBgSIiIkJoNBqhUqmERqMRAwYMEFlZWYp5Xnnl\nFTnGvXv3FsnJyaJHjx6KMnfr1q1N56T3339fBAYGCq1Wa3esByAGDBggIiIihFarFUFBQWLZsmVi\n0aJF8vjiffr0savbze0zCxYsUCznvffeEw888IB87nv22WdFenq6XT1tuj/a1gO9Xi+OHj2q2A4h\nISF2Y63r9Xq742LT8o0ZM0YRlwULFrS6T7u5ucl1V5IkMWnSJLvPqNVqxbk7JSVFzJw5s9k6brs/\nNt0WtvsLAEVds/378MMPOfa6M3TGy+tWqxVRUVG37ceo1+vxxRdfKJ4z9uc//xk7duxodfmLFy9W\nPC/z4YcfRkZGhuIzrq6uipFPXF1dYTKZFDeZtHdTS5KE2bNnY+vWrQ55gHhbHp7cljGhW+Pn54fT\np0/L0++//z5Wrlyp+Exb49Xa51p7Pz4+Hunp6W0otb3WHs49efJkrFu3TvHa/PnzsXfvXnna19cX\naWlp8PDwgMlkQmpqKp555hm7UXRmzJghx2jDhg146623Wi1fY8uJbYuCbTwkSYIQotU4x8fHY/fu\n3QAaWg5iYmJavdwVEhKCH3/8UZ7+5JNP7J7X2py//e1vmDNnDgDg5ZdfxpdfftnqPM250weB3+2D\nw9syn4eHR7N9Vdv7XT169EBubq78WuPoTo6+GtWS5vY123pw+PBhu+d9NudOh7B0cXHBihUrMG3a\nNMXrkyZNwpkzZ2477zPPPCM/z/natWuYNGkSrl27Jr8fEBCA4uJiu/lWrlyJGTNmtLhck8mExMRE\n5OXltXk9goODUVNT0+7x4ZvWNw8PD6jVakXr3t0spym1Wg2r1dqm43ROTg60Wi2sVisiIyMdMkpY\ncHAwzGazwwZ+kCQJ+fn5bb4M31kvr/NGog5QV1fX6katqqqyO3i0dSdsOp9tf5BGTUccqa+vV+yM\nHZEkWq1W5ObmOmzEmracdDviYNH0hNLcQb2t69ja51p7vz3jM7c2GoztyatRVVWVYrqiogIlJSXy\ndFFRUbMxtk0kbO/6vp26ujq79bONR1tPGLbbp6qqqk2j4DT9YXLp0qVW5wGUMbvTk6StO00g7/by\nV1vm66gTTtPvqqysVLxmNpudepNVc3XJ9sfJlStX2rScO42XyWRqdp9oSyxsu8wYjUa7JKulZdhe\nwm1OTU3NHW+LmpqaDvlx0jR+lZWVd3VjaWs/LD09Pdt8nG48ftXV1TlsFK2amhqH9rm1Wq2/idGj\nmHR2AHd3d4SFhdm9btsXLSIiAkOGDFG8P2HCBLv+hU37r3Xp0gWPP/644rXHHnvM7rtCQkLkkSyA\nhl8evr6+iuW09jiS5voX2b7WrVs3PPfccw57hljXrl1v+37jyCjtNWHCBMX0rFmz7LZDW/uo2N4B\n3Vz8bjc8mEajafPdimq1Gt27d5enfX194e/vL0+7u7srfgE3jlTVVGJioqLMERERihuPRo0aheDg\nYMU8Wq0W48ePl6cfe+yxNj3aJjY2FhEREfK0Xq9X9G328/OzG2HHtg43sh0Fxdvbu003DYwZM0Yx\n/fTTT9u1EDSd9vb2xqOPPipPT5w40e4O97Zwd3eHn5+fPN20f2lzfYp9fX3t1r1p+Zqbr7V9BmgY\n3et220uj0SjelyRJHkXLlm3/SDc3N4waNUqxLQICAhAbG9tqeTqCSqWyi4/BYLCLte1oPg8//LBd\nfWtKo9Eo6mzja03jZ3sMDAoKwpQpU+yW1bt3b8V8TY8PBoNBUd8iIiIUIzFptVoMGjSo2Zat5kZk\narrs0NDQ237G1dVVUb7IyEjFujdX35rj7u6uWLfg4GBF/enRo4fdaENt0XQelUqlKFNoaGib9k9J\nkuRzobu7u939FS31fbfVlnPesGHD2lT/WzsOtaSxH/P9jjcSNXG3nW9nzZqF/fv3w2g0QqVSIT4+\nHosXL4bJZEJUVBT+/ve/2w21FRcXJ9+oI0kSBg8ejBdeeAElJSWoq6tD79698cYbb2DcuHGK+UaM\nGIHi4mJkZWVBpVJh0KBB2LVrF7y8vGC1WtGzZ0+sXLkSCQkJKCsrQ3h4OJYuXYo+ffogPT0dFosF\nXbt2xeuvv46TJ0/CarXC19cXBw4cQFVVFWpqaqDVajFw4EC8+OKLqK2tRVhYGF577TWMHz8eo0aN\nwsGDB6HRaBAfH48DBw5g9erVLf7q/K//+i/4+fnh/PnzABp2su3btyM7Oxs3btyAWq3GkiVLsGnT\nJuzduxcmkwlBQUFYvnw5/v3vf6O6uhru7u545ZVX8MEHH6C0tBSW9prwAAAgAElEQVQGgwHDhw/H\nZ599ho0bN8q/Xp9//nm4urrKrRqenp6IjIzEjRs3ADQcGDZs2KAoX2hoKEJDQ5Geng6NRoORI0fi\nq6++wokTJ3D16lWoVCpERkbCw8ND0YI2efJkfPTRRygsLERoaCjmzZsHV1dX5OXlQZIkzJgxA6tW\nrUJWVhYqKirQvXt3zJ07F927d4efnx8mTpyId955B9OnT1cMPTlnzhyMHj0a//73vyGEgF6vx759\n+zBixAjcuHED4eHhWLJkCebMmSN/9+LFixEdHY2srCzodDosWrQI8+fPt9sWAwYMkG8K6t27N1at\nWoXQ0FC5vjcOg3jx4kVUV1cjJCQEixcvxrPPPisvo1u3boiLi8OBAwfkurNgwQLF5ey+ffti9+7d\nGDlyJAoKChAcHIz58+djzpw5KCkpQXh4OF5//XW89tpr+O677+QfFIcPH8bly5dx6dIlSJKEp556\nSjEMrEqlwqxZs5CSkgKTyQR/f3/s3r0bx48fl7dxYmIiPvnkE8XB3M/PD7169cLBgwchhEBAQABW\nrlyJixcvor6+HhEREVi+fLliSMSYmBgYDAb5RprY2Fi89dZbOH78uNxyExMTgzfeeANHjx6F1WqF\nn58fvv76awwfPhw3b95EeHg43n33Xdy8eRO3bt2CwWDAtm3bMHXqVHz77bcAgLCwMBw9ehRhYWHI\nz8+HyWRCnz598NZbbyErKwtWqxUhISHYu3cvampqUFhYCA8PDzz99NP49NNPcfjwYZSWlkKj0WDB\nggWIi4tDcXEx3N3dMWnSJGzYsAE6nQ4XLlyAVqvFhAkTUFBQIN8oeOzYMfl9d3d3vPrqq5g/fz6u\nXbsGSZIQGBiIhIQE/OMf/4DRaERgYCAee+wx/OUvf0HPnj1hNBoRHh6O//f//h9eeeUVnD17Fkaj\nEV26dMHChQtx5swZmM1maDQaTJo0CaGhobhy5QokScK8efMwb948pKamor6+Hi4uLhg/fjxGjhyJ\nzMxMmM1muLq64r333kPXrl1RVFQET09PvP7663jmmWewf/9+CCHg7++PQ4cOYejQoThy5AhcXV0x\nZswYrFq1St6eXl5emDZtGr766ivU1NRAkiTMmTMHoaGhKCkpgZeXF5YsWYK//vWvOH/+vHxz1Ftv\nvYXZs2cjNTUVbm5umDhxIl588UWUl5cjIiIC//3f/93sEyPGjx8Po9EIT09PDB48GM8++yxu3ryJ\nuro69OnTB3/6058UDQgajQbjx49Hfn4+AgICMHPmTCxduhTe3t44ceKEHMPVq1crhr1syaRJk1BY\nWAhfX18MHToUWVlZ8nEyLCwMK1euhLe3N/R6PQYOHIh//etfmDx5MvLy8hAYGIgnn3wSSUlJSE5O\nhsVigZubG+bMmYO8vDy5/gcHB+P48eOorq6Wl7N+/Xr4+fmhvr4ePXv2xIoVK/Dmm2/i+++/x9Wr\nV6FWq/HCCy9Ap9PJl/9DQ0MRGRmJ69evQ6PR4NVXX8UHH3yAvLw8FBcXQ6/XY8WKFQgPD4eLiwvi\n4uLw0Ucf4bnnnpNvcnJ3d8c///lPHD16VG7ldXNzw/HjxxU/6B5//HHs378fVqsVoaGhOHjwIH74\n4Qe5W4FWq8WxY8eQlpaGuro6dO/eHV999RUkSVJ0hXr99ddx4cIFuLq6YtSoUVizZg2mTZsm138v\nLy888cQT8PDwgCRJiIiIQHx8PN544w38+OOPcHFxweDBg7F8+XIkJyejrq4Oer0e69evl4d9buTt\n7Y3jx4/b/ai6nc56IxH7dDbBx2o4B+PuHPdz3Blz52DcnYNxdw7GvXXs00lEREREnQqTTiIiIiJy\nOCadRERERORwTDqJiIiIyOGYdBIRERGRwzHpJCIiIiKHY9JJRERERA7HpJOIiIiIHI5JJxERERE5\nnMbZBWiUnZ2N7777DkIIJCQk3NVYrURERETUOXWKlk6r1Yq9e/dizpw5WLRoEc6ePYuSkhJnF4uI\niIiIOkinSDoLCwvh4+MDb29vqNVqxMbG4sKFC84uFhERERF1kE5xeb28vBxdunSRpw0GAwoLC1Fe\nXo7KykrFZ+vr66HX6x1WFo1Go/j3fqNWq+Hi4uLsYtwxxt057ue4M+bOwbg7B+PuHIx7x+oUpVGp\nVM2+/tNPPyElJUXxWmJiIkaPHu3wMnl7ezv8O8ge4+4cjPu9x5g7B+PuHIy7c3S2uHeKpNPT0xO3\nbt2Sp8vLy2EwGNCvXz9ER0crPltfX+/Q/p4ajQbe3t4wGo0wm80O+x5HcXNzQ11dnbOLcccYd+e4\nn+POmDsH4+4cjLtzMO6t8/Pza/NnO0XSGRgYiNLSUhiNRnh6eiIjIwMzZ86EwWCAwWBQfLaoqAgm\nk8nhZTKbzffkezqaRqO5L8vdiHF3jvsx7oy5czDuzsG4Owfj3rE6RdKpVqsxefJkbNmyBVarFQkJ\nCXeUORMRERFR59Ypkk4AiIqKQlRUlLOLQUREREQO0CkemUREREREv21MOomIiIjI4Zh0EhEREZHD\nMekkIiIiIodj0klEREREDsekk4iIiIgcjkknERERETkck04iIiIicjgmnURERETkcEw6iYiIiMjh\nmHQSERERkcMx6SQiIiIih2PSSUREREQOx6STiIiIiByOSScRERERORyTTiIiIiJyOCadRERERORw\nTDqJiIiIyOGYdBIRERGRwzHpJCIiIiKHY9JJRERERA7HpJOIiIiIHI5JJxERERE5nEoIIZxdiDtx\n8+ZNSJLjcmWVSgVXV1fU19fjPgsNAECSJFitVmcX444x7s5xP8edMXcOxt05GHfnYNxb5+3t3ebP\nahxYDoeoq6tz6PJdXFzg5eWFqqoqmEwmh36XI7i7u6OmpsbZxbhjjLtz3M9xZ8ydg3F3DsbdORj3\n1t1J0snL60RERETkcEw6iYiIiMjhmHQSERERkcMx6SQiIiIih2PSSUREREQOx6STiIiIiByOSScR\nERERORyTTiIiIiJyOCadRERERORwTDqJiIiIyOGYdBIRERGRwzHpJCIiIiKHY9JJRERERA7HpJOI\niIiIHI5JJxERERE5HJNOIiIiInI4Jp1ERERE5HBMOomIiIjI4Zh0EhEREZHDMekkIiIiIodj0klE\nREREDsekk4iIiIgcTuPsAnz//ffIysqCWq2Gt7c3pk+fDq1W6+xiEREREVEHcnrSGRkZiXHjxkGS\nJBw4cACpqakYP368s4tFRERERB3I6ZfXIyMjIUkNxQgODkZ5ebmTS0REREREHc3pLZ220tPTERsb\nK0+Xl5ejsrJS8Zn6+nro9XqHlUGj0Sj+vd+o1Wq4uLg4uxh3jHF3jvs57oy5czDuzsG4Owfj3rFU\nQgjh6C/57LPP7JJHABg7diyio6MBAEeOHEFxcTGeeOIJ+f0ffvgBKSkpinkSExMxevRoh5W1vLwc\nP/30EwYMGACDweCw7yElxt05GPd7jzF3DsbdORh35+iscb8nKfAzzzxz2/fT09ORnZ1t97kBAwbI\nSWkjDw+PDi+frcrKSqSkpCA6OrpTbajfOsbdORj3e48xdw7G3TkYd+forHF3ertrdnY2jh8/jj/8\n4Q92TdgGg6FTBYuIiIiI7o7Tk859+/bBYrFg8+bNABpuJnrkkUecXCoiIiIi6khOTzr/9Kc/ObsI\nRERERORg6rfffvttZxeiMxFCwNXVFeHh4XBzc3N2cX43GHfnYNzvPcbcORh352DcnaOzxv2e3L1O\nRERERL9vTr+8fjtvv/02hgwZgocffhgAcOzYMZhMJowaNapdyz1+/DjS09MhSRJ0Oh2mTZsGLy8v\nCCGwb98+XL58GUIIREZGYtKkSXbz327oztTUVKSnp0OlUmHSpEno2bMnAODgwYP45ZdfUFtbizfe\neKPVsjjLO++8g+7du8NisUCSJPTv3x9DhgyBSqVq13Jzc3Px3Xff4fr165g5cyb69u0rv3fgwAFk\nZ2cDAEaOHKl4Vmuj33LMm1q6dCnefPPNdi3DbDbj66+/RnFxMdzd3TFr1ix5He91vE+dOoVTp05B\nkiRoNBo88sgj8Pf3b9f6OUJHxP1263r69GkcOXIEQEPcH3jgAbv5fy9xbzzONEpKSmpxH9ywYQMe\nfvhhBAYGtri8nJwcJCcnw2KxQK1WY8KECYiIiAAAFBUVYefOnTCbzYiKimr2mH7mzBkcO3YMQgi4\nublhypQpcqyys7Px3XffQQiBhIQEDB8+HABw7tw5HD58GDdu3MD8+fPl8hUUFGD37t0AAKvV2uI+\n5gxvv/02+vXrhxkzZgAALBYLli1bhuDgYMyePfuul7tz505kZ2dDr9fjhRdekF8/dOgQMjMzAQA6\nnQ7Tp09Hly5dFPMWFxdjz549qKurgyRJGDFihBwvo9GIHTt2oKamBgEBAZgxYwbUajVKSkqwa9cu\nFBcXY+zYsRg6dCgAwGQyYePGjTCbzbBYLOjduzfGjRt31+vVkc6fP49t27Zh8eLF8PX1bdeyqqur\nsWPHDpSVlcHLywuzZs2Cu7t7m+ve//3f/6GoqAhqtRpBQUF45JFHoFarAQB79+7FxYsX4eLigunT\npyMgIABA+7axgujE3n33XbF8+XJRVVUlhBDi2LFj4ocffmj3ci9duiTq6+uFEEKkpaWJL7/8Un79\nk08+EVarVVgsFrFu3Tpx+fJlu/kvXrwoLBaLEEKI77//Xnz//fdCCCGuXbsmPv74Y2E2m0VpaalY\nvny5sFqtQgghrly5IsrLy8XSpUvbVBZnsS1fZWWl2LRpkzh06FC7l2s0GsXVq1fFV199Jc6dOye/\nnpmZKTZt2iQsFouoq6sTa9asEbW1tXbz/5Zj3lTT8t6NkydPim+//VYIIcTZs2fldXRGvG2Xf+HC\nBbFx48Z2r58jdETcW1rXqqoqsXz5clFdXS2qq6vl/zf1e4n7ncR6w4YNorCw8LafKSoqEuXl5UKI\nhlj9/e9/l99bs2aNuHLlihBCiM2bN4usrCy7+fPz80VNTY0QQoisrCyxdu1aIYQQFotFLF++XJSW\nlgqz2Sw+/vhjcf36dSGEENevXxclJSV25auvr5e3YXl5uXj//fflaWdbunSpWLVqlXz8y8rKEqtW\nrRJbt25t8zLMZrPda7m5uaKoqEh89NFHitdt6+CPP/4odu7caTfvjRs3xM2bN4UQDfH64IMP5G2x\nbds2cfbsWSGEEN9++61IS0sTQjScmwoKCkRycrI4duyYYnl1dXVyOdeuXStyc3PbvG6O9OWXX4qt\nW7fe1fm0af3Zv3+/SE1NFUIIkZqaKh8n2lr3bPeB7du3y3HNzMwUmzdvFkI0HFca9wMh2reNbXXq\nlk61Wo0BAwbgxIkTGDt2rOI9o9GIXbt2oaamRs6u3dzcsGrVKrz88ssAGkYv+te//oWXXnpJHmoT\ngPwLGGi4W/7MmTMAAL1eD4vFArPZDCEErFZrs88FjYyMVMz/66+/AgAyMzMRFxcnt1L4+PigoKAA\nISEhCA4ObnYdWypLZ6DX6zF16lSsXbsWo0ePhtVqRXJyMnJzc2GxWDBw4EA8+OCDAICjR4/izJkz\nUKlUiIqKsvt12diK0bTFtKSkBGFhYZAkCa6urujevTsuXryImJgYxed+LzFvVF9fj//93/9FbW0t\nLBYLxowZg969e8NoNGLr1q0IDQ3FlStXYDAYkJSUZPe4sczMTHkQhT59+mDv3r0AnBNv2/5E9fX1\n0Ol07Q+Qg7Q37i2ta05ODiIjI+Hu7g4A6NGjBy5evIi4uDjF/L/XuAMNLZL79++Xyzp9+nR4enoC\nAH755Rd88803sFqtmDZtGoKCghTzNrbGAICfn5/c0lVdXY36+no5Rv3798eFCxcQFRWlmD8kJET+\nv+1wzIWFhfDx8YG3tzcAIDY2FhcuXICfnx/8/PyaXQ/bOmE2m6HVahXnH2eLiopCdnY2+vbti7Nn\nzyI2Nhb5+fkAGlppv/vuO5jNZri4uGDatGnw9fVFeno6zp8/D5PJBCEE/vCHPyiWGRYWBqPRaPdd\nbamDXbt2lf/v6ekJvV6P6upquLm5ITc3FzNnzgTQsO0OHz6MgQMHQq/XQ6/Xy1dsbLm6ugJoaMUV\nQsj7nDPV1dWhoKAAc+fOxZYtW+Rj8+XLl/HDDz/Azc0NpaWliIiIwJQpU6BSqbB06VI8+OCDuHTp\nEqZMmYLQ0FB5eZmZmZg7dy6Ahrhs3LgR48ePb3Pds63/QUFBqKiokJfbeAUmODgYtbW1qKiogKen\nZ7u2sa1OnXQCwMCBA7Fq1SoMGzZM8fq+ffsQHx+P/v37Iz09Hfv27UNSUhL8/f1x+fJlREREICsr\nCz179rztDv/zzz/LG6Bbt26IjIzEsmXLIITA4MGDW20Gtx26s6KiQnECMBgM8sZsC9uydBbe3t4Q\nQqCyshIXLlyAVqvFc889B7PZjE8//RSRkZG4ceMGMjMzMX/+fLi4uKCmpqbNy/f398fhw4cxdOhQ\n1NfXIzc3F926dbvtPL/1mAMNQ5clJSXBzc0NVVVVWL9+PXr37g0AKC0txcyZM/Hoo49i+/btOH/+\nPPr166eYv6KiQn7GrVqthpubG6qrq50W77S0NJw4cQImkwl//OMf7ygW91J74w40v6622wNoW9x+\ny3E3mUxYvXo1gIZjzMyZM7F3717Mnj0bOp0OGRkZOHToEKZNmwYhBMxmMxYuXIi8vDzs2rVLcXmv\nqV9//RUBAQFQq9UoLy+/47jbHhPKy8sVlwoNBgMKCwtbXb+CggLs2rULRqNRTpo6i9jYWKSkpKBX\nr164fv06EhIS5KTTz88P8+bNgyRJyMnJwcGDB+VRAq9evYrnn3/+jpO4xu4fLi4u+M///M/bfrag\noAAWiwU+Pj6oqqpSJE1trfNWqxVr1qyB0WjEgw8+2Orx7V7IzMxEz5494eXlBZ1Oh6KiIrk7RlFR\nERYtWoQuXbpgy5YtOH/+PPr27QuTyYTg4GC5e6GtqqoquUHMw8MDVVVV8nt3UvcsFgvOnDkjdzlp\n6TjV+OOvJXeyjTt90unm5ob+/fvj5MmTiiy+oKAASUlJAIB+/frhwIEDABp2qHPnziEiIgIZGRkY\nNGhQi8v+5ZdfUFxcjIkTJwJo6HeYm5uLV155BUDD8J2RkZEICwtrdv4jR45ArVY3e+K5U03L0hnl\n5OTg+vXrcutLXV0dSktLcenSJcTHx8vb504OSpGRkSgsLMT69euh0+kQHBx82/6jv5eYCyGQnJyM\n/Px8qFQqVFRUyEPJenl5yf3NAgICUFZW1ublOivegwYNwqBBg3D27Fns2rXLrqWks+iIuHfEuv7W\n4+7i4oKFCxfK09euXUNJSQk+++wzAA2JQ+OJTqVSycl3WFgY6urqUFtbK/d1tXX9+nUkJye3Ogpe\nSy5fvoz09HQ5Qb/bvuzBwcFYtGgRSkpKsGXLFoSHhzdbXmfo3r07ysrKcPbsWbsf3LW1tfj6669R\nWloKoGE7NLJtqb8TY8eOxdixY5Gamor9+/dj+vTpzX6uoqICX3/9NR577LE7/g5bkiTh+eefR21t\nLTZv3iw3QjnT2bNnMWTIEABATEwMMjIy5KQzKChIbkmPi4tDfn4++vbtC0mSFPc+tKRpHb2Turdn\nzx6EhYUpWlHvRlu3MXAfJJ0A8NBDD2HNmjV2He9FMzfe9+rVCwcPHkRNTQ2Ki4tbrGw5OTlITU3F\n3Llz5Q60BQUF6Nmzp9w8HxUVhYKCgmaTzuaG7vT09MStW7fk6aa/slvSXFk6i9LSUqhUKvlX1eTJ\nkxWXAAHg4sWLzW6Ltho5ciRGjhwJoKGDs+3lFlu/l5gDDQep6upqLFiwAJIkYfny5TCbzQAaWuMa\nSZIkv26rMS4GgwEWiwV1dXXyZQ9nxLtRTEyM3NG9M2pv3G3Zrqunpydyc3Pl98rLy1s8Nv0e4w40\ntLK11krSqLlk8NatW9i2bRtmzJghn8QNBoN8qRxoiFtLrTZXr17FN998gzlz5sjJVXvj7ufnBx8f\nH5SWlt72Rqh7LTo6Gt9//z3mzp2raCU7dOgQIiIikJSUhLKyMmzcuFF+r2lXkjsVFxeHrVu3Nvte\nbW0tPv/8c4wdO1Zu0dfpdKitrYXVaoUkSbfdds3RarXo1asXioqKnJp0VldXIzc3F9evX4dKpYLV\naoVKpcKECRPsPiuEkOu2RqNp8UePXq+XWyArKiqg1+vtPtNa3Tt8+DCqq6vx6KOPyq+1t77fbhs3\n6jwdTW7D3d0dMTExSE9Pl18LCQlBRkYGgIY7DxsTQzc3NwQGBmLfvn3o1atXsxutuLgYu3fvxuzZ\nsxUby9fXF3l5ebBarbBYLMjNzW22307j0J1N+3RFR0cjIyMDZrMZRqMRpaWldn2P2lqWzqCqqgq7\nd+/G4MGDAQA9e/bEqVOnYLFYAAA3btxAfX09IiMjcfr0aZhMJgC47eX1psmp1WpFdXU1gIaD/rVr\n1+ySWuD3E/NGtbW10Ov1kCQJly9fvqPWTKAhLr/88guAhsuNjQddZ8T75s2biuXa3rXc2bQ37i2t\na2RkJHJyclBTU4Oamhq5j2dTv9e4d+3aFdXV1bhy5QqAhst+169fB9BwzDh37hwAIC8vD1qt1u65\ngzU1Nfj8888xbtw4Rf9MT09PuLm5oaCgAEII/PLLL3J3CVtlZWVywmr7IywwMBClpaUwGo0wm83I\nyMhAdHT0bdfFaDTKx8iysjLcvHkTPj4+dxEVx4mPj8eoUaPsLj3X1dXJiZ3t+fZu2dbBzMxMRd/b\nRmazGdu2bUP//v0VLXsqlQrh4eHylbXTp0/bbbum55Oqqir5/GMymZCTk9Psd95Lv/76K/r374+X\nX34ZL730El555RV4eXkhLy8PQEO/YaPRCKvVinPnzrWp1dH2+G4bl7bWvZ9++gk5OTn4j//4jxaX\ne+XKFWi12mbva7HVlm1s675o6QSAIUOGIC0tTZ6eNGkSdu3ahePHj0Ov12PatGnye7Gxsdi+fXuL\nl5IOHDgAk8mEL7/8EgDQpUsXPPnkk+jduzdyc3OxatUqAA1JVq9evezmb2nozm7duiEmJgYfffQR\nJEmSOwQDDY9CycjIgMlkwocffoiEhASMGjWqxbI4S2Nfq6aPTAKAhIQElJWVYc2aNQAafm0lJSWh\nZ8+euHr1KtauXQu1Wo2oqCi7G78KCwuxbds21NTUICsrC4cPH8YLL7wAi8WCDRs2AGj4wTBjxoxm\n++D+lmNuq/GRL/369cPnn3+Ojz/+GIGBgS3etNCShIQEfPXVV/jnP/8Jd3d3uW+PM+KdlpaGS5cu\nQa1Wy4+o6mw6Ku4tratOp0NiYiLWrVsHABg1alSzlyp/b3FvpNFo8Pjjj2Pfvn1y69aQIUPQrVs3\nqFQqaDQarF69Wr6RqKm0tDSUlpYiJSUFKSkpAICnn34aer0eU6ZMwc6dO2EymRAVFdVsH+4jR46g\ntrYWe/bsAdDQkv3cc89BrVZj8uTJ2LJlC6xWKxISEuQ6cf78eezbtw/V1dXYunUrAgICMGfOHOTn\n5+Po0aNQq9WQJAlTp07tNJfWGxkMBrkxwbZhZtiwYdi5cyeOHDmiOPe11s1gx44dyM3NRU1NDT78\n8EOMHj0a8fHxSE5Oxs2bN6FSqeDj44MpU6bYzXvu3Dnk5eWhpqYGp0+fBgBMnz4d/v7+GD9+PHbs\n2IFDhw4hICAACQkJABouxa9btw51dXVQqVT48ccfsWjRIlRUVGDnzp0QQkAIgf79+6NHjx7tjld7\nZGRkyI/ZamR7E1dQUBD27t0r30jUp0+fVpc5fPhwbN++HT///LP8yCQAba57e/bsgZeXF9avXw+g\n4WbTxMRE9OrVC9nZ2VixYgVcXV0V+1p7trEtPhyeqBO5evUqvv32W8yfP9/ZRfldYdyJ6F67fPky\nTpw40a5npN5v7puWTqLfulOnTiEtLa1T3tj0W8a4E5EztHfQlfsRWzqJiIiIyOHuixuJiIiIiOj+\nxqSTiIiIiByOSScRERERORyTTiIiIiJyOCadRERERORwTDqJiNohPDwcOp0OBoMB3t7eGDZsGNas\nWdOmoWFzc3MhSZJijGsiot8qJp1ERO2gUqmwe/dulJeXIz8/H6+//jr+9re/4Y9//GObl8En1xHR\n7wGTTiKiDuLp6YmpU6di27Zt2LRpE86dO4c9e/YgPj4eXbp0QWhoKN555x358yNHjgQAeHl5wdPT\nEydPngQAfPrpp+jbty98fHwwceJE5OfnO2V9iIg6EpNOIqIONnDgQAQHByM1NRUeHh7YsmULbt26\nhT179mDVqlXYtWsXACA1NRUAcOvWLVRUVGDw4MHYtWsX/ud//gdff/01bty4gREjRuDJJ5905uoQ\nEXUIJp1ERA4QGBgIo9GIxMRExMTEAADi4uKQlJSElJQUAM1fVl+9ejWWLFmC6OhoSJKEJUuW4PTp\n07hy5co9LT8RUUdj0klE5ACFhYXw8fHByZMnMXr0aHTr1g1eXl5Ys2YNbt682eJ8eXl5+POf/wxv\nb294e3uja9eu8vKIiO5nTDqJiDrYqVOnUFhYiGHDhmH27NmYPn06CgoKUFZWhoULF8p3q6tUKrt5\nQ0NDsXbtWhiNRvmvqqoKDz300L1eDSKiDsWkk4ionRovk5eXl2P37t148skn8fTTTyM2NhaVlZXw\n9vaGq6sr0tLS8Pnnn8vJpp+fHyRJQk5OjryshQsX4q9//St+/fVXAA39Pbdv337vV4qIqINpnF0A\nIqL73dSpU6HRaCBJEmJiYvDqq69i4cKFAICPP/4Yr776KhYvXozExEQ88cQTKCsrAwDodDq8+eab\nGDZsGEwmE/bv34/p06ejsrISSUlJyMvLQ5cuXTBhwgTMmjXLmatIRNRuKsEHxBERERGRg/HyOhER\nERE5HJNOIiIiInI4Jp1ERERE5HBMOomIiIjI4Zh0EhEREZfHvykAAAAhSURBVJHDMekkIiIiIodj\n0klEREREDsekk4iIiIgc7v8DaG9YttoqrtQAAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x7f7a9b907160>"
]
},
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 52,
"text": [
"<ggplot: (8760285779534)>"
]
}
],
"prompt_number": 52
},
{
"cell_type": "heading",
"level": 3,
"metadata": {},
"source": [
"labs()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Another useful layer for styling the presentation of a chart is the `labs()` layer that can be used to set axis labels.\n",
"\n",
"Note that *ggplot* actually returns a chart object, which means that we can assign it to a variable and add further layers or modifcations to that variable or chart object. "
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"g = ggplot(df, aes(x=\"Date\",y=\"Cash\")) + geom_point()\n",
"g = g + ggtitle(\"Payments made over time\")\n",
"g = g + labs(\"Transaction Date\", \"Transaction amount (\u00a3)\")\n",
"g"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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vTJ06Fba2ttYOi0pJsZoS7969q+j+9ddfSyQIg8EArVaLjIwMSJKEjIyMEito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\nYnWUdBJCCCGEEKv7/wAMubgRANFiiAAAAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x7f7a9b9cc908>"
]
},
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 53,
"text": [
"<ggplot: (-9223363276568934428)>"
]
}
],
"prompt_number": 53
},
{
"cell_type": "heading",
"level": 3,
"metadata": {},
"source": [
"Bar Charts and Histograms"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Whilst a very simple technique, *counting* is often one of the most useful tools in our toolbox. For example, let's count how many tickets were issued by each machine for each tariff by aggregating over each group using the `len` function."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"df[[\"Tariff\",\"Machine\"]].groupby(['Tariff',\"Machine\"]).agg(len).sort_index()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 54,
"text": [
"Tariff Machine\n",
"01A YARR01 133\n",
" YARR02 192\n",
"01B YARR01 627\n",
" YARR02 595\n",
"01C YARR01 1022\n",
" YARR02 1014\n",
"01D YARR01 572\n",
" YARR02 488\n",
"01E YARR01 302\n",
" YARR02 222\n",
"01F YARR01 564\n",
" YARR02 463\n",
"01G YARR01 1\n",
" YARR02 6\n",
"01H YARR02 3\n",
"dtype: int64"
]
}
],
"prompt_number": 54
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Bar charts can be used to provide charts showing counts across categorical variables. Supply the categorical variable you wish to chart as the *x* value and use `geom_bar()`.\n",
"\n",
"Note that if variable (`foo`) you wish to use for the categorical x-values has a numeric type, you can cast it to a categorical variable by calling it as follows: `x='factor(foo)'`."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"p = ggplot(aes(x='Tariff'), data=df)\n",
"p + geom_bar() + ggtitle(\"Number of Tickets per Tariff\") + labs(\"Tariff Code\", \"Count\")"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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QAgAAwCgCKQAAAIwikAIAAMAoAikAAACMIpACAADAKAIpAAAAjCKQAgAAwCgC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\ngg==\n",
"text": [
"<matplotlib.figure.Figure at 0x7f7a9bfdab70>"
]
},
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 55,
"text": [
"<ggplot: (8760286198953)>"
]
}
],
"prompt_number": 55
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We can add in a grouping variable to produce a stacked bar chart. Here we can see the contribution to the total count in each tariff made from each machine."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"p = ggplot(aes(x='Tariff',fill=\"Machine\"), data=df)\n",
"p + geom_bar() + ggtitle(\"Number of Tickets per Tariff\") + labs(\"Tariff Code\", \"Count\")"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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YMCEwXTxv3jx1795dkvT8889r9+7dmjlzpmbOnBnY7/engevUZ7MuEbSVys/P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\nvtUe5YPdGuwAAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x7f7a9bdd2a90>"
]
},
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 56,
"text": [
"<ggplot: (8760290565552)>"
]
}
],
"prompt_number": 56
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"If the range we want along the horizontal *x*-axis is a continuous one, we can make use of `geom_histogram()`. The *binwidth* will be automatically calculated, but we can also force it to a particular width using the *binwidth* parameter.\n",
"\n",
"Here I set the *binwidth* to 0.1, that is, 10 pence, so we can more closely look for small overpayments."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"p = ggplot(aes(x='Cash'), data=df)\n",
"p + geom_histogram(binwidth=0.1) "
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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AxSiXAAAUo1wCAFCMcgkAQDHKJQAAxSiXAAAUo1wCAFCMcgkAQDHKJQAAxSiXAAAUo1wC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\nFKNcAgBQjHIJAEAxyiUAAMX8f8lzAitUhTerAAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x7f7aa0142198>"
]
},
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 57,
"text": [
"<ggplot: (8760290693787)>"
]
}
],
"prompt_number": 57
},
{
"cell_type": "heading",
"level": 3,
"metadata": {},
"source": [
"Frequency Distributions - geom_density()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Sometimes, whilst we *can* plot a chart, it may not really be meaningful to do so.\n",
"\n",
"For situations where you have a continuous distribution of values along a continuous numerical axis, it may may sense to produce a *frequency distribution chart*. For example, a chart showing the distribution of the height of people in a population. The`geo,_density()` chart works out the relative frequency of each value and produces a smoothed curve that extimates the continuos (*frequency*) distribution. The vertical *y*-axis is the propotion of the population taking the value. The area under the curve should sum to 1.\n",
"\n",
"The *Cash* payment received is, in a sense, a continuous variable (people could pay any amount, at least in steps of 5 pence, the smallest coin accepted by the parking meters) although the expectation is that only discrete amounts (as specified by the tariffs) are required as payment."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"p = ggplot(aes(x='Cash'), data=df)\n",
"p + geom_density() + ggtitle(\"Number of Tickets per Tariff\") + labs(\"Payment (\u00a3)\", \"Proportion\")"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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iKSlptKWKRs7+jtZI/fU37K202F9psb/SYW+lFYj99WofiWpxk5SUhJaWFrS2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\n",
"text": [
"<matplotlib.figure.Figure at 0x7f7a9b9e0b38>"
]
},
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 58,
"text": [
"<ggplot: (8760285754537)>"
]
}
],
"prompt_number": 58
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"From the peaks in the chart, we see peaks at about 50 pence, just below \u00a32, at about \u00a33.30, a small bump about \u00a34.40 and a final burst at about \u00a36.60.\n",
"\n",
"We can lookup the tariff amounts from the *Description.1* column:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"df['Description.1'].unique()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 59,
"text": [
"array(['LS with Cch \u00a36.60 6>24hrs', 'LS with Cch \u00a31.00 30m>1hr',\n",
" 'LS with Cch \u00a34.50 4->6hrs', 'LS with Cch \u00a31.90 1->2hrs',\n",
" 'LS with Cch \u00a33.40 2->4hrs', 'LS with Cch \u00a30.60 30 Mins',\n",
" 'LS with Cch \u00a33.00 Cch>10h', 'LS with Cch \u00a310 Cch10>14h'], dtype=object)"
]
}
],
"prompt_number": 59
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"That is, we have distinct payment amounts at \u00a310, \u00a36.60, \u00a34.50, \u00a33.40, \u00a33.00, \u00a31.90 and \u00a30.60.\n",
"\n",
"We can add additional layers to the chart to hightlight these valuese using `geom_vline()`, which adds a vertical line at a particular *x* value."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"p = ggplot(aes(x='Cash'), data=df)\n",
"p = p + geom_density() + ggtitle(\"Number of Tickets per Tariff\") + labs(\"Payment (\u00a3)\", \"Proportion\")\n",
"p + geom_vline(xintercept=[10, 6.6, 4.5, 3.4, 3.0, 1.9, 1,0, 0.6 ],colour='blue') "
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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2ttbnwjQ+Pp73mBIREZEkWJgGqFOnTiE0NNTrxfUdYmNjcfLkSYmiIiIiokDG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\n",
"text": [
"<matplotlib.figure.Figure at 0x7f7a9bdad128>"
]
},
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 60,
"text": [
"<ggplot: (8760285886149)>"
]
}
],
"prompt_number": 60
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We see high frequency spikes at all these amounts apart from at the \u00a33 tariff (short stay coaches)."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Note that we can set the extent of the *x* and *y* axes by adding `+ xlim(MIN_X, MAX_X)` and `+ ylim(MIN_Y, MAX_Y)` modification layers to the chart."
]
},
{
"cell_type": "heading",
"level": 3,
"metadata": {},
"source": [
"Line Charts - geom_line()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"For charting continuous values, particular ones that are plotted over time, a line chart often makes most sense.\n",
"\n",
"When looking at transaction reports including separate amounts for each trasnaction, a chart showing the *running total* or accumulated amount can often be useful\n",
"\n",
"We can add such a value as an additional column by sorting the data frame appropriately and then calculaing the cumulative sun over the *Cash* column using the `cumsum()` method."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"df.sort(['Date'],inplace=True)\n",
"df['Cash_cumul'] = df.Cash.cumsum()\n",
"df[:5]"
],
"language": "python",
"metadata": {},
"outputs": [
{
"html": [
"<div style=\"max-height:1000px;max-width:1500px;overflow:auto;\">\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>Date</th>\n",
" <th>Machine</th>\n",
" <th>Description</th>\n",
" <th>Tariff</th>\n",
" <th>Description.1</th>\n",
" <th>Cash</th>\n",
" <th>Cash_cumul</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>0 </th>\n",
" <td>2012-12-01 06:38:53</td>\n",
" <td> YARR01</td>\n",
" <td> River Road 1 Yarmouth</td>\n",
" <td> 01F</td>\n",
" <td> LS with Cch \u00a36.60 6&gt;24hrs</td>\n",
" <td> 6.6</td>\n",
" <td> 6.6</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1 </th>\n",
" <td>2012-12-01 07:26:12</td>\n",
" <td> YARR01</td>\n",
" <td> River Road 1 Yarmouth</td>\n",
" <td> 01F</td>\n",
" <td> LS with Cch \u00a36.60 6&gt;24hrs</td>\n",
" <td> 6.6</td>\n",
" <td> 13.2</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3221</th>\n",
" <td>2012-12-01 07:30:14</td>\n",
" <td> YARR02</td>\n",
" <td> River Road 2 Yarmouth</td>\n",
" <td> 01F</td>\n",
" <td> LS with Cch \u00a36.60 6&gt;24hrs</td>\n",
" <td> 7.0</td>\n",
" <td> 20.2</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3222</th>\n",
" <td>2012-12-01 07:40:09</td>\n",
" <td> YARR02</td>\n",
" <td> River Road 2 Yarmouth</td>\n",
" <td> 01F</td>\n",
" <td> LS with Cch \u00a36.60 6&gt;24hrs</td>\n",
" <td> 6.6</td>\n",
" <td> 26.8</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3223</th>\n",
" <td>2012-12-01 07:58:18</td>\n",
" <td> YARR02</td>\n",
" <td> River Road 2 Yarmouth</td>\n",
" <td> 01F</td>\n",
" <td> LS with Cch \u00a36.60 6&gt;24hrs</td>\n",
" <td> 6.6</td>\n",
" <td> 33.4</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"metadata": {},
"output_type": "pyout",
"prompt_number": 61,
"text": [
" Date Machine Description Tariff \\\n",
"0 2012-12-01 06:38:53 YARR01 River Road 1 Yarmouth 01F \n",
"1 2012-12-01 07:26:12 YARR01 River Road 1 Yarmouth 01F \n",
"3221 2012-12-01 07:30:14 YARR02 River Road 2 Yarmouth 01F \n",
"3222 2012-12-01 07:40:09 YARR02 River Road 2 Yarmouth 01F \n",
"3223 2012-12-01 07:58:18 YARR02 River Road 2 Yarmouth 01F \n",
"\n",
" Description.1 Cash Cash_cumul \n",
"0 LS with Cch \u00a36.60 6>24hrs 6.6 6.6 \n",
"1 LS with Cch \u00a36.60 6>24hrs 6.6 13.2 \n",
"3221 LS with Cch \u00a36.60 6>24hrs 7.0 20.2 \n",
"3222 LS with Cch \u00a36.60 6>24hrs 6.6 26.8 \n",
"3223 LS with Cch \u00a36.60 6>24hrs 6.6 33.4 "
]
}
],
"prompt_number": 61
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"To plot the value as a line chart, we use `geom_line()`."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#As well as passing a dataframe to the ggplot function as the first argument, we can also pass it via the data= attribute \n",
"g = ggplot(aes(x=\"Date\",y=\"Cash_cumul\"), data=df )+ geom_line()\n",
"g"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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CANQq+/btU7NmzYyOAeAsVXlF984779QNN9yghx566KQ/3fbs2bPagwEAYKTy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\n",
"text": [
"<matplotlib.figure.Figure at 0x7f7aa00de2b0>"
]
},
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 62,
"text": [
"<ggplot: (-9223363276568721632)>"
]
}
],
"prompt_number": 62
},
{
"cell_type": "heading",
"level": 3,
"metadata": {},
"source": [
"Exercise"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Modify the chart generated directly above by adding an appropriate title and tidying up the axis titles."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Add title\n",
"\n",
"#Add suitable axis labels, and then display the chart\n"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 63
},
{
"cell_type": "heading",
"level": 3,
"metadata": {},
"source": [
"Grouping by Colour"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Judicious use of colour can often help us pack more information into a chart in a way that still allows us to read it. For example, suppose we want to look at the accumulated spend over time by Tariff to see which Tariff appears to be generating most revenue.\n",
"\n",
"We can group on the tariff and calculate the accumulated revenue within each tariff band. "
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"group=df[['Tariff','Cash']].groupby('Tariff')\n",
"#For group of rows, apply the transformation to each row in the group\n",
"#The number of rows in the response will be the same as the number of rows in the original data frame\n",
"df['Cash_cumul2']=group.transform(cumsum)['Cash']\n",
"df[:10]"
],
"language": "python",
"metadata": {},
"outputs": [
{
"html": [
"<div style=\"max-height:1000px;max-width:1500px;overflow:auto;\">\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>Date</th>\n",
" <th>Machine</th>\n",
" <th>Description</th>\n",
" <th>Tariff</th>\n",
" <th>Description.1</th>\n",
" <th>Cash</th>\n",
" <th>Cash_cumul</th>\n",
" <th>Cash_cumul2</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>0 </th>\n",
" <td>2012-12-01 06:38:53</td>\n",
" <td> YARR01</td>\n",
" <td> River Road 1 Yarmouth</td>\n",
" <td> 01F</td>\n",
" <td> LS with Cch \u00a36.60 6&gt;24hrs</td>\n",
" <td> 6.6</td>\n",
" <td> 6.6</td>\n",
" <td> 6.6</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1 </th>\n",
" <td>2012-12-01 07:26:12</td>\n",
" <td> YARR01</td>\n",
" <td> River Road 1 Yarmouth</td>\n",
" <td> 01F</td>\n",
" <td> LS with Cch \u00a36.60 6&gt;24hrs</td>\n",
" <td> 6.6</td>\n",
" <td> 13.2</td>\n",
" <td> 13.2</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3221</th>\n",
" <td>2012-12-01 07:30:14</td>\n",
" <td> YARR02</td>\n",
" <td> River Road 2 Yarmouth</td>\n",
" <td> 01F</td>\n",
" <td> LS with Cch \u00a36.60 6&gt;24hrs</td>\n",
" <td> 7.0</td>\n",
" <td> 20.2</td>\n",
" <td> 20.2</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3222</th>\n",
" <td>2012-12-01 07:40:09</td>\n",
" <td> YARR02</td>\n",
" <td> River Road 2 Yarmouth</td>\n",
" <td> 01F</td>\n",
" <td> LS with Cch \u00a36.60 6&gt;24hrs</td>\n",
" <td> 6.6</td>\n",
" <td> 26.8</td>\n",
" <td> 26.8</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3223</th>\n",
" <td>2012-12-01 07:58:18</td>\n",
" <td> YARR02</td>\n",
" <td> River Road 2 Yarmouth</td>\n",
" <td> 01F</td>\n",
" <td> LS with Cch \u00a36.60 6&gt;24hrs</td>\n",
" <td> 6.6</td>\n",
" <td> 33.4</td>\n",
" <td> 33.4</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3224</th>\n",
" <td>2012-12-01 08:06:07</td>\n",
" <td> YARR02</td>\n",
" <td> River Road 2 Yarmouth</td>\n",
" <td> 01F</td>\n",
" <td> LS with Cch \u00a36.60 6&gt;24hrs</td>\n",
" <td> 6.6</td>\n",
" <td> 40.0</td>\n",
" <td> 40.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2 </th>\n",
" <td>2012-12-01 08:22:15</td>\n",
" <td> YARR01</td>\n",
" <td> River Road 1 Yarmouth</td>\n",
" <td> 01F</td>\n",
" <td> LS with Cch \u00a36.60 6&gt;24hrs</td>\n",
" <td> 6.6</td>\n",
" <td> 46.6</td>\n",
" <td> 46.6</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3225</th>\n",
" <td>2012-12-01 08:25:33</td>\n",
" <td> YARR02</td>\n",
" <td> River Road 2 Yarmouth</td>\n",
" <td> 01F</td>\n",
" <td> LS with Cch \u00a36.60 6&gt;24hrs</td>\n",
" <td> 6.6</td>\n",
" <td> 53.2</td>\n",
" <td> 53.2</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3 </th>\n",
" <td>2012-12-01 08:27:01</td>\n",
" <td> YARR01</td>\n",
" <td> River Road 1 Yarmouth</td>\n",
" <td> 01F</td>\n",
" <td> LS with Cch \u00a36.60 6&gt;24hrs</td>\n",
" <td> 6.6</td>\n",
" <td> 59.8</td>\n",
" <td> 59.8</td>\n",
" </tr>\n",
" <tr>\n",
" <th>4 </th>\n",
" <td>2012-12-01 08:34:11</td>\n",
" <td> YARR01</td>\n",
" <td> River Road 1 Yarmouth</td>\n",
" <td> 01F</td>\n",
" <td> LS with Cch \u00a36.60 6&gt;24hrs</td>\n",
" <td> 6.6</td>\n",
" <td> 66.4</td>\n",
" <td> 66.4</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"metadata": {},
"output_type": "pyout",
"prompt_number": 64,
"text": [
" Date Machine Description Tariff \\\n",
"0 2012-12-01 06:38:53 YARR01 River Road 1 Yarmouth 01F \n",
"1 2012-12-01 07:26:12 YARR01 River Road 1 Yarmouth 01F \n",
"3221 2012-12-01 07:30:14 YARR02 River Road 2 Yarmouth 01F \n",
"3222 2012-12-01 07:40:09 YARR02 River Road 2 Yarmouth 01F \n",
"3223 2012-12-01 07:58:18 YARR02 River Road 2 Yarmouth 01F \n",
"3224 2012-12-01 08:06:07 YARR02 River Road 2 Yarmouth 01F \n",
"2 2012-12-01 08:22:15 YARR01 River Road 1 Yarmouth 01F \n",
"3225 2012-12-01 08:25:33 YARR02 River Road 2 Yarmouth 01F \n",
"3 2012-12-01 08:27:01 YARR01 River Road 1 Yarmouth 01F \n",
"4 2012-12-01 08:34:11 YARR01 River Road 1 Yarmouth 01F \n",
"\n",
" Description.1 Cash Cash_cumul Cash_cumul2 \n",
"0 LS with Cch \u00a36.60 6>24hrs 6.6 6.6 6.6 \n",
"1 LS with Cch \u00a36.60 6>24hrs 6.6 13.2 13.2 \n",
"3221 LS with Cch \u00a36.60 6>24hrs 7.0 20.2 20.2 \n",
"3222 LS with Cch \u00a36.60 6>24hrs 6.6 26.8 26.8 \n",
"3223 LS with Cch \u00a36.60 6>24hrs 6.6 33.4 33.4 \n",
"3224 LS with Cch \u00a36.60 6>24hrs 6.6 40.0 40.0 \n",
"2 LS with Cch \u00a36.60 6>24hrs 6.6 46.6 46.6 \n",
"3225 LS with Cch \u00a36.60 6>24hrs 6.6 53.2 53.2 \n",
"3 LS with Cch \u00a36.60 6>24hrs 6.6 59.8 59.8 \n",
"4 LS with Cch \u00a36.60 6>24hrs 6.6 66.4 66.4 "
]
}
],
"prompt_number": 64
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We can now plot the tariff based culumative totals as separate lines, splitting each line out using the `colour` aesthetic."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"ggplot(df,aes(x=\"Date\",y=\"Cash_cumul2\",colour=\"Tariff\"))+geom_line()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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i4EEnhYURZs6s01JV0uu5XC7mzZvHsmXLeOqpp9i1axebNm1ix44dAITD4fYB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RpJCYeUzPO/oe0cnZ1IpVOJlRpDTfLT/Nz8iDJjJ7HQx4yvvo6rU79hqnMSYRUlpkqJq/K+6dwQ\nwnXraWz8d3w/wY4dLun0R/h+CimrkDKClOWUll6GZU1FyjBCRLGsSTq+TKPRaDSHDFq47UVDg8W7\n75aRSpm4ruDMM5t7/RgePrtllhZp85FS/NB3ODwxHfwIeS/KaC/KJMOhQvhUWTC9+sdsji1klHc4\nERXjhNafcE5uXq/3ayijlKKp6RcIEaKq6lqqqsaSTDpIeWSnMkoajUaj0RyqaOHWjoYGixdeqGby\n5AyzZjUTi/m9VgXBxiMpbepElu8oh0S+Gis/BqFMToxv4ipilBs+FWaaNfH/4fXon8mIJKuNRiq9\n0fxH82PU+ON6pzPDhHR6Kbt3XwsYKJVFiCgTJrxCNDqe8vIa8nmdKkOj0Wg0gwst3NqxeXOU6dNb\nmTGjtdfaTAibC2oepl5mKXfLiLZOJ5w4mdtMh8MjaUYKj23Gdl6L/4HNIkNKNvF+6CWuTv2aie40\nqsIjsTIxDH2pOlGIUWvE95P4fhLbXoHnNeP7aZTKkE4vpabmP4nHLyhOFLAGussajUaj0RwUWg20\nI5+XvV6y6g5rJ3Ljdxnlh4iiqJYe/xLdxihrIymRYYOxlbtL/p1zcpczxpvERHc6f5O+nnHekQBE\nVbTHxdqHG42N/04yeT+GMRopo5jmOMLhYzCMaqQcRzR6JvH4Rbompkaj0WiGDFq4tSOfF4RC/kG1\n4Sq4VjayFo+cH8JJHMuJFfcw19iFJ3PUGVu4PfwUJX45MVVOWEX5u9afMMue20tWDC2U8lEqh1JZ\nEonbyWbfQKls0avmMHHiMgyjeqC7qdFoNBpNvzCshVsmI3n//TLSaSP4O/HE5EG1+YZn8m52Ep+L\nNHCEHyIaf5enyv+RxtyXCakIld5ovtdyC8c6Z/aSFUMTpRy2b78E2/4gSMURDk+nuvrHSFmOlDEM\nYxRSRge6qxqNRqPR9BvDVrgpBWvXxsnnBTNmpIjHPWKxg6+G8FeRx4rt4N9EhJzZxKOxuznDvoSv\nt/6sdzo+hGlu/n3gUfO8RkxzHJMnb9WzPjUajUajKTLkhZtSkMtJWlpMWlpMkkmLlhaTRMIkHPaZ\nNStBVdWBzyzM4vLX0G4S0qZF2jzeMpVJNZdxrdxFRMVRwufvW/7QixYNTTKZF0kmFzJixC+KhdOj\nxQoEWrRpNBrNkEIpcPNI10amGjAyLTB27ED3atAw5IXb+++XUltbQk1NnvJyl7Iyl8MOy1FR4RCL\n7X882zZP8mw+TouSJJTkDaOZemcMIS+O70WwIs9SjeQPDWv7wJrBg1IO2eybKJVBKRul8ijlFF9t\nfD9JLvcOvp9BiDz5/FZGjPgp8fhnB7rrGo1GM7xQCpSP8BzwXITngu9gpBPIdHPxs4vwXYTnFd57\nLvgewncL+/gews0jnByGZ4NQlLcmIZ9BODbCybX7s0FKlBXFt8LYE0+EMz4/0Gdh0DDkhdtHH8WZ\nM6eOkpKDqy+aVbDOhu+0ltIS2YJvNWGbKVKh9zlbPoRvNOCINDmR5Krkrb3U+0OftskDudxyWlru\nxPdTKJXDdXdjmqMxjFEIYSFECCHCxVcLISKUl1+FlBVEoxXk8xLLmjzQ5mg0Gs3AoFRRCLUXRgVB\n1CamhGsH6wLh5DngORiZFozWRvDcggjzvcJ65WFISTifR6jCMpSPtDNY9ZsKbXouCIEyLDBMlGGC\nNPEjJXilNcXPRmG9NFDSbLessK2SBn6sHGWNwouWEKkeSSZr40oL34qgrDDKjKBCEZQVAdkxLknX\np+k5Q164xWLeQYm2u/JR7srHsZVBvDWDWfYwFZX/RIgkHnkMLE7PfJszWy8jomKUqAoiavB9BQs5\n0VqwbYd8fhuZzOpiDc8cnleP624hn1+L72dRKlfMl5YEXIQIY5pjKS+/ilDoKISIImUJljWlR6k4\notEo6JQnGo2mr1B+QbD4PkJ5CDuDcB1k2sTMpAteozbR5LkI5QdeJNrWuXlkPotwi94jO4PwnEAg\n7RFd3p79VeGYbZ4poRRIQWXeLgwV5lJ7vFW+ixKyIIKMghCi7bVtmRkuCisrEE1KmmAURVbZyHbi\nygAhUdIgFI6Qdz2UlCCMwnorjFM9AT9SUhBR8iADvNthWRbU1ODU6yTnfcGQF26VlQf3pflfVxGZ\n8DWmixYipqLRf5uLMt/h0szfEVLRQVPQ3XXr8bzd+H4W328mk3kF191WTK2RxHE2AgrDKAHC+L5N\nJDITIWJIGcEwRlBZORvDKC8ms41jGNVFL5rOk6bRHNKoNvHg7xEZygPP2+OFKa4X+TQyn8O0TMK5\nbEGMtN+/zZsTLGv3XvkFcfQJ6/e89wJxI1FgmZTlsijPDfoaiB/V1v9275XXrl9twszvsEz4hQf3\ngpAxUFIinRxu+WiEaRLDQBlGIF6UNPcIn+CzRFlhfCta9ByF8StGo8xQoU2jrW2jw74d2hEGZihE\n5YgakokkjgI/UloUZyYYBaHVJ0SjZLP64XioMOSFWzS6f3FsD1vreMl6jRRJMqKV6rJ3mOGH+ax7\nETXWGKKt13Fk9uQ+6u3Bo5SL6+4kmbwHz2tEqRy+30ou9y6mObboDYsSiZxMLPZphIgVi6lPIBod\nR01NDfX6KUmj6R2UKg53+XuGvYKhMK8gLNpihnwPmU0i7TR4TsGb4zoY+BAJEWtJIFrqil4apzhc\nticmSfgOuE7BG9RenBXFjJJmwePSJmC6ERvKCqNCMaRpYami4JEy8N7QzpOzZ5kMRFGw3jDBDKE6\neH9kp/3bjm2YFuHKSnKpNK7vd1wvCsfYs0x2ub7wvri+3bLuBFG0vwVN0RPlWfV4+h6rOUCGvHCT\nUnW5XKFICYf/MRpZoyClBGnlYIX/i7Csw3KPJuSXcoR/Mf+R/QZhK0JNWQ31bj0O/f8P57o7ikln\nc7huHfn8h8V4skLqDNt+H8fZCiiEiFBaeimRyKlFoRahpuY/Mc0x/d5vjeaAKMb7dBh+Cl5dhJ1G\nOjamBJpLCDU1Ip38nvigtm0DcVSM+/HaDYn57YfC/GKQdTtPlO8WRVDH9RJFiet0PE67vu09ZKY6\neGDMzkKp3XI/WoqKlKAMK/iTVhiMcpAG+bHT8OLlYFhFL41VGC4rvmJYKCvSyVuEkOxv4eX+FjVt\nw2t5/eCo0eyTIS/cLKujcFsS2cC/VrxOSuQJZ8czsmEyh42aS1gmiBAm5o3hP5sfZIQaOJHjeS0k\nErfiujsQIoNtb8F1t2EYIxAigpRRwuHjMYyRCDGKUGga5eXXFOPL9NCl5hMoziALhpU6DDEVZpaJ\nXKooPvYMPe0ZqioERAsni3CdQuxPJoFwcphSEHLyHYflOgRKF5YZ6WZErrWjKAr2KcQYBfE+bZ6U\ntiEraaJCUVQoCqYF4QhRT+ELWdjH6EocFQWMbBczZIVRwtgTZL33UFn7mKJ27YajMXKO1/U+7Y9r\nmAckmPbGsixiNTVktKDRaDQMA+EWj++ZmNDkS25vrWKcPQ7huzgyw7iRf8dVrT9jlj0HSe8FZ7ZH\nKadYCD2D7yfJ59fiOBuD4H+lssVYs8Krba8kHj+faHQW0egIHCdMJHKSrhLQH3jthrOU3zkmZ+9Y\nnQ7xPn67eJx2y5WP8H0sy0Dlcu2EkB/EDHVqv60Nz8Fo3ol0sp3WtY8fahNZbeJKKB8EVLUNnbk2\nKAKblGjzwuw1fFUUKH6ktDiU1n4oygiCm5VZ9OyYoYK3JxTFKx+FDEVwPK/dkFU7IdN2LFGYfeZH\ny7oWPMFw3CcLHsuyqKmpoaUfRY0ZjeLqeCGNRjNADHnh9oiK8nEmRoOSbPdNRtX8nqr4Qo7Ln0Sp\nijIxezVn2pce1DEKMy8bi0IsTSbzIo6zKfhs2+8CJlLGEKKEUOgIQqEjkLIK04wUSzoVYs+EiGCa\n4wiFpgADEINxqOB7GKkGhJ0ueHU8Z0++oOL0d+nkCuvbZoK1H/7q9NlDuDmM1iak7wI+VcWZXW1t\ntnl/6BAL1CY25F5xOXKPMGm/TZtgER3jbRASaYUwfNUx/qZ9m12JKGlgTzoRFYoHsUQdBFG7GKH2\nsT+mFaZ6RA2JRALHU4Up+O2OebBeoO4Ytt9XjUaj6ScGrXBbt24dTz/9NEopZs6cyac//ekut1sp\nLC6ObkUaGYTZyv+WPcYl6W/x9fQ3e3QcpWwymdcQIoXrmjQ3f0Q2uyrIV6ZUDsfZHNTPFCJKJHIS\n0egZwedw+HeYZk1vmt/nCMdG5DPdBlELzy0kZnTt4vR4G2lnCkHTe8cZtcUO7T3lvridgSLuOoh8\nFplrRThZpJvHi1fixyraxe8UY3mK09+VFcGPlHQY2sIK43eIJTKDGWNKmnil1RjREqpqRpFoSeL4\nYk+7xRxGQ0HUSMuCqhp8z8TXw2sajUYzZBiUws33fZ588km+9rWvUVZWxoIFCzjqqKOoqeksjuzy\np7lj1PWUqTySDGUqxfnZ84BC8ljX3UEu9za+34pSWRxnC9nsK0FiWd9PEQ4fSyh0GEpV4fsQi30G\ny5qClBGEiGBZhyNlSX+fhg4YiV1Yu9YinVxhZlo2WRBfbh7h2pjNO1DSaJfccW/v1B6hNcJzwbDw\nQ9F2CRaNvYSQiRerKMQamSGUGQ7ijtqCsdumuHccDtuzf9uwWCgax3ZcVChSGD6zosVp9n0Uq1cM\ngvZFvRY1mkMKkfUpfSxF8vLyge6KZrCiunjvF//2Xt/Vfp+wXrDnvqykGqQqYnAzKE/59u3bqaqq\norKyEoAZM2awZs2aLoVbTdm/8e3tZzDOGU3EM5GZD7EzF7DetwEHUMRi52OaoxFEMEQVIyt/iWmM\nRKgQBmGkiGFJSXVlBY0N9bh5G5Ftn5toV7exRz3Kc+QVArw7zaBTHqaUhPJ2x3xGeyd69D3Cm1bg\nVo4lf9i0ooCK4ZYX8gwpK1wQWiXVHUWYYXWY0WZGotSMGk1DUzOOe3CVJvYHIxrFGaLDa9ZGC5mV\noMAMm4Tt8J6Ve98gu/ksVBcCtrt9i6+GaUAphJIhDNfoctvgBtzVjb4nn7tYFwqFEPku2u2mn922\n1cW2XfXXMAyIQ7Q1SsgL7ddx9ml/V/urwp9lWpiO+cn7tD+WEt232e5V2IroshCiXR55KSREoCRb\ngu/53e+rurGnm+MF9hd/1IUnCq++AA8kkrgbB2/PMvx9HGdv9lMgCAQYUOVV7d/340CPXzxmOeW9\nbsve69uLHYARakT37e/H8bu8N+y9qyjsXEFFux272Vj0bL0qdihzRobk3yY/sQ+a3mVQCrdkMkl5\n+Z4n0rKyMrZv304ymaS1tbXDtn+8zybirEGqjwo3KyWRnFzIYB2IrRT4Le1msr3VLg6pXS4gw6QC\n0SF/UMc4po55jIJg7naJH/eOTQryHbVN4bdCHYPAwxF8X3Xev0MQtyR36t/gHDYdrPDep6sD+/q/\nNM1C3iXTCoFwD/Iq9RzDMAqpAPoJ0zQ7vPYVxjaDyt9V4kwtePWkIQn7Ha9P2001oLsL1NUF28e2\nQggIQdSJony15zjdtbuv9vdjW2lIpCd7vd29P7fZI6WEVjBtE6lk1/se6LkUxR8o0XG9FBJpdGHj\n3vt2dc5FF5/bLVe2wp2g8Mf6wXIhBcTBz/r4vt91W+3aVEJ1f4xuXpWhwABk8b0EK2KR9/J7lss9\n23RFp+9yV7bvY71hGlSUV5BqSeF5Xvf7dLO8w/F78l0CwuEwdt7e72N1ZZfik49vmiaVFZUkWhK4\nrttp/T6P35P+dbNNOBzGtu1uGjg4LDrfu/vrHjtcGZRntbt0F++88w4vv/xyh2Vnn30z55xzTs/b\n7uZ9MpnknXfe4aSTTqKsrGw/ejt4SCaTvPjii5x00kmBN3Mo0m921gAPQIjQJ27a2ySTSV5/5/Uh\n/X2Fgp1vvvNmv9sZZt8PSAdHWYdvTDKZ5MV3XuSkWf1/LeP9WEEysPOkk6goq/jkHXqJUkr77VjJ\nZJIX3yjee8r0PVZzYAxK4VZaWkpLS0vwOZlMUlZWxnHHHcdRRx3VYduSkt6JPVxhb5MAABY/SURB\nVGttbeXll1/mqKOOGrI/hMPBRhgedg4HG2F42DkcbIThYedwsBGGj50DxaAUbmPHjqWpqYnm5mZK\nS0tZtWoVl112GWVlZfpLotFoNBqNZsgyKIWbYRhcfPHF/OlPf8L3fWbOnNnlxASNRqPRaDSaocSg\nFG4AU6dOZerUqQPdDY1Go9FoNJp+w/jJT37yk4HuxGBAKUUoFOLwww8nHO7LwOSBYzjYCMPDzuFg\nIwwPO4eDjTA87BwONsLwsXOgEEqp7jLQaDQajUaj0WgOIQbdUOlPf/pTRo0ahed5SCk5/vjjOf30\n07tNEdJTXNflkUceYefOnUSjUb70pS9RUVGYkp5IJHjsscdIJpMIIfjKV74SrGtj6dKlrF27FsMw\nqKysZO7cuUQiEQBeffVVVqxYgRCCiy66iCOOOAKA559/nvfff59cLsePfvSjoK033niDpUuXYpom\nQgjKy8uZOXNmr9j5xhtvsGLFCqSUxGIx5syZE9jy3nvv8corrwBw1llnccIJJ3Tav7ftbOtLXV0d\n3/ve9zqd1/2hu2uYSCRYtGgRSik8z+Okk07itNNO61Pbli9fzvLly5FSYpomX/jCFxg9ejQ33HAD\nP/7xjw/YRoBNmzbx9NNPU1dXx2WXXcb06dMB2LhxI88880ywXUNDA5dddhlHH310v9p5xx13HLSN\n3Z0/gPvuu4/t27czYcIErrjiii7370sbt2/fzqhRo4L18+bN6/Z7e9ddd/G5z32OsWPHdmtrJpPh\ngQceYMeOHZxwwglcfPHFnbZZuHAhiUSC6667rtO6Dz74gNdffx2lFOFwmM9//vPBuequNGBtbS0v\nvfQSDQ0NXH311UH/tm3bxpIlS9i1axemaVJSUkIkEjloG9evX89zzz2H53kYhsEFF1zApEmTAFix\nYgVvvvkmQghKS0u59NJLicVi/WJjOBxm9uzZzJgxA8/z+O///m/GjRvX7feqJzz66KOsW7eOeDze\n5fVqu7//4Ac/6GTnzp07eeKJJ7BtGyklZ555JjNmzACgubmZhx56iGw2y5gxY7j00ksxDIP6+noW\nL17Mzp07OffccznjjDMAcByHG264gUgkQklJCUcffTTnnHPOQdvY0tLCI488QjqdBuhwP922bRtP\nPvkkvu8jpeTzn/88hx12WJ/aePfdd+O6Lp7ncfTRR3PeeecdkF2DCjXIuOGGG4L3ra2t6p577lEv\nvPDCQbf79ttvq8cff1wppdTKlSvVAw88EKy788471fr165VSStm2rfL5fKf9P/74Y+V5nlJKqaVL\nl6qlS5cqpZTavXu3uuWWW5TruqqpqUnddNNNyvd9pZRSW7duVclksoNNSim1YcOGYNmyZcvUwoUL\ne83ODRs2BP1ftmxZYGc6nVY33XSTymQyKpPJBO/72s62vvzsZz/rcM4PhO6uoeu6ynVdpVTh+t14\n440qkUj0qW25XC54v2bNGnX33XcrpVSn7Q6E5uZmtWvXLvXwww+r2traLrfJZDLqV7/6VZ9/V7uy\nszds7O78KaXU+vXr1Zo1a9T999/f7f59aeNPfvKTHttx1113qe3bt+9zG9u21ebNm9Xy5cvVE088\n0Wl9bW2teuihh9TNN9/c5f5btmxR2WxWKaXU2rVr1YIFC5RSSnmep2666SbV1NSkXNdVt9xyi6qr\nq1NKKVVXV6fq6+s79S+fzyvP89QNN9ygksmk+tWvfhWcx4OxcceOHSqZTCqlCtfgv/7rv5RSSjmO\no371q1+pdDqtlCpcqxdffLHfbLz55pvVL3/5S+V5nlq7dq269dZb9/m92pu2+0p7Nm3apHbs2NHl\n9UokEuree+9Vv/3tbwOb29PQ0KAaGxuVUkolk0n1m9/8JrB70aJFauXKlUoppR5//HG1bNkypVTh\nd3Dbtm3queeeU6+//nqH9m644QZ16623qlwupxYsWKBee+21g7YxmUyqHTt2KKUK/xu///3vg3N+\n5513qnXr1imlCtfprrvu6nMbbdsO+rlgwQK1adOmHts2WBl0Hrf2xONxZs+ezYIFCzjnnHPwfZ/n\nnnuOTZs24Xkep5xyCieffDIAr732Gh988AFCCKZOndpJlX/00UdBot5p06bx5JNPAlBXV4dSismT\nJwOFkj5dMWXKlOD9uHHj+PDDD4N2jz322ODJv6qqim3btjF+/HjGjRvXZVttT6JtbX3wwQdceuml\nvWJnV21D4Yl4ypQpRKNRACZPnszHH3/Mscce2y92SilJJBLcc8895HI5PM/js5/9LEcffTTNzc3c\nf//9TJgwga1bt1JWVsa8efM6VVvo7hoaxp6ST47jdFupoTdtax/Xkc/nOzxZ5/N5/vznPx+wnW2e\nj315X2tra5k6deqA2XmwNu7r/E2ePJmNGzd2a3tf29jVed+xYwfPPPNM0Ne5c+dSWlpI7Pr+++/z\n2GOP4fs+c+bM6eSBCIVCTJgwgcbGxk7t2rbNW2+9xezZs3nwwQe77N/48eM72JpMFkoQ7as0YHez\n8NtfB9d1iUQiheoUB2njmDFjgvc1NTWBh0RKSSQSIZ/PE41GsW2bqqqqfrNx4sSJfPjhh0gpWbly\nJTNmzGDLli1AwXv09NNP47oulmUxZ84cRowYwYoVK1i9ejWO46CU4utf/3qH9idOnEhzc3OXx37m\nmWc4//zz+b//+78u11dXVwfvS0tLicfjZDIZwuEwmzZt4rLLLgPg+OOP56WXXuKUU04hHo8Tj8dZ\nt25dl21OnTqVjz76CKUUmzdvPmgbS0tLg+seDocZMWIEqVSKmpoaSktLyeVyAORyuWC7vrSx7TfZ\n8zyUUsFv2FBmUAs3gMrKSpRStLa2smbNGiKRCN/+9rdxXZc777yTKVOm0NDQwEcffcTVV1+NZVlk\nu6iLmUqlghxwhmEQDofJZDI0NjYSiURYtGgRzc3NTJ48mfPOOy+4mXXFihUrAtdvKpXq8INQVlZG\nKpXqsX3vvvsuU6dO7TU7u2p7b/t72s/etNPzPI488khOO+00wuEw6XSaO+64Ixjma2pq4rLLLuOS\nSy7hwQcfZPXq1Rx33HEd2ujuGsZiMVpaWrj//vtpamriggsu6DRE0Re2LVu2jDfffBPHcbjqqquC\n5aZpMm/evAO2syesWrUqGE7YF31h57p163rFxu7O3/7S2zYqpbjtttuAwv3nsssu48knn+SKK64g\nFouxatUqXnjhBebMmYNSCtd1mT9/Pps3b2bx4sVdDp9B10L8xRdf5IwzzuhxSbj2/9PdlQb8JLZt\n20Y+n+d3v/sdFRUVLFq0qNdsBPjwww8ZM2ZM8EB10UUXccsttxAKhaiuru5yqLgvbHQch3fffZex\nY8fiui51dXXMnDkzEDU1NTV885vfRErJ+vXref7557n88ssB2LVrF9dee+1+iYQ1a9ZQVlYWDPH2\npI+e51FVVUU6ne4govfn/lpbW0tzczOnnnoqmzZtYty4cb1mY3NzM7t27QqE+nnnncedd97J0qVL\nUUrxrW99q89t9H2f22+/nebmZk4++WRGjhzZo/MymBn0wq0969evp66uLni6tm2bpqYmNmzYwIkn\nnhjc/Pbnn833fTZv3sz8+fMpLy/nwQcf5L333mPmzJldbv/KK69gGMYB/djuzfvvv8/OnTu58MIL\nOyzvDTu7a7un9LadS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"text": [
"<matplotlib.figure.Figure at 0x7f7a9ba059b0>"
]
},
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 65,
"text": [
"<ggplot: (8760290711777)>"
]
}
],
"prompt_number": 65
},
{
"cell_type": "heading",
"level": 3,
"metadata": {},
"source": [
"Faceted Charts"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"On other occasions, we may wish to split out data from different groups into different charts. This is referred to as *faceting*. We can split a datset across separate charts based on the value of a particular group attribute by using the `facet_wrap()` layer."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"ggplot(df, aes(x=\"Date\",y=\"Cash_cumul2\")) + geom_line() \\\n",
" + ggtitle(\"Payments made over time\") \\\n",
" + labs(\"Transaction Date\", \"Transaction amount (\u00a3)\") \\\n",
" + facet_wrap(\"Tariff\")"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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XGET4X5MnTyYjI4NXX32VihUrqtsll4TQjeSWEPqTnp5ObGxs6SpWAwICiI6O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\n0R7wAAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x7f7a9bd07978>"
]
},
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 66,
"text": [
"<ggplot: (8760286052826)>"
]
}
],
"prompt_number": 66
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"By default, axis values are generated for each chart independently. However, we can also force them to use the same axes by setting the `scales` parameter to `fixed`, as opposed to `free`."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"ggplot(df, aes(x=\"Date\",y=\"Cash_cumul2\")) + geom_line() \\\n",
" + ggtitle(\"Payments made over time\") \\\n",
" + labs(\"Transaction Date\", \"Transaction amount (\u00a3)\") \\\n",
" + facet_wrap(\"Tariff\",scales = \"fixed\")"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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VI8O15QtQ9vuh1NpawnoJYMaswc+wm5RaW0taL9lCffNl1ZbVNWvW4JlnnoGD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\nAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x7f7a9b587908>"
]
},
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 67,
"text": [
"<ggplot: (8760285536211)>"
]
}
],
"prompt_number": 67
},
{
"cell_type": "heading",
"level": 3,
"metadata": {},
"source": [
"Exercise"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"How many ticket machines is the data collected from and how many transactions are recorded by each one?\n",
"\n",
"How would you generate a faceted chart showing the accumulated transactions over time for each of the ticket machines identified in the ticket column?"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# Identifying the number of distinct machines and number of transactions recorded by each one\n"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 68
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# Accumulated total for each machine\n"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 69
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Chart faceted by ticket machine\n"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 70
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Themes"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"When it comes to publishing charts in a particular publication, we often require that the chart is presented in a particular *style*. In the same way that we can use different CSS style files to alter the look of a particular HTML document, so we can alter the look of a chart generated using *ggplot* by applying differnt *themes* to the chart.\n",
"\n",
"For example, if we need to inject a little humour or apparent \"casualness\" into a chart, at the expense of some accuracy in the chart, we can use the XCKD theme.\n",
"\n",
"(For more information about the use of such a theme, and techniques for creating such \"sketchy visualiastions\", see *Wood, Jo, Petra Isenberg, Tobias Isenberg, Jason Dykes, Nadia Boukhelifa, and Aidan Slingsby. \"[Sketchy rendering for information visualization.\" IEEE Transactions on Visualization and Computer Graphics](http://hal.archives-ouvertes.fr/docs/00/72/08/24/PDF/Wood_2012_SRI.pdf), 18(12), 2012: 2749-2758*.)"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"p = ggplot(aes(x='Tariff',fill=\"Machine\"), data=df)\n",
"p = p + geom_bar() + ggtitle(\"Number of Tickets per Tariff\") + labs(\"Tariff Code\", \"Count\") \n",
"\n",
"p + theme_xkcd()\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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XUl5erqwTslgslJWV8dFHH/GLX/yCUaNGMWrUKP74xz8e4zeQgwZTV1cHgNfr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\nUFrzpiyzfQAAAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x7f7a9b30ceb8>"
]
},
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 71,
"text": [
"<ggplot: (8760285384200)>"
]
}
],
"prompt_number": 71
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Another very useful theme is the \"clean\" looking `theme_bw()`."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"p + theme_bw()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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ZNSp7wpJAlwAAqINqJfDl5ubq3XffVUFBgSSpa9euuu6661RYWKhFixbp+PHj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\nJ/gAAAon+AAACvcOMn6Z+vAjLEQAAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x7f7a9bd90588>"
]
},
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 72,
"text": [
"<ggplot: (8760286107582)>"
]
}
],
"prompt_number": 72
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"What Next?"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"In this notebook,we have introduced some of the basic chart types that are supported by *ggplot*, as well as some of the modifications you can make to the charts. You can find further information, as well as descriptions of additioanl chart types, from the [*ggplot* documentation](http://ggplot.yhathq.com/docs/).\n",
"\n",
"Feel free to extend this notebook as your own personal reference notebook by adding further sections about additional chart types.\n",
"\n",
"If you are working through this notebook as part of an inline exercise, return to the course materials now. If you are working through this set of notebooks as a whole, move on to [4.5.3 Getting Started With Maps - folium](4.5.3%20Getting%20Started%20With%20Maps%20-%20folium.ipynb)."
]
}
],
"metadata": {}
}
]
}
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