Last active
August 29, 2015 14:12
-
-
Save balzer82/0bb56b27afea56a64504 to your computer and use it in GitHub Desktop.
`ungespiel` Channel Entwicklung vor und mit Mediakraft
This file contains hidden or bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
{ | |
"metadata": { | |
"name": "", | |
"signature": "sha256:18061951bddcea198b88ee5c84ab03ace34e73d331d05ba77bd864e70f084e03" | |
}, | |
"nbformat": 3, | |
"nbformat_minor": 0, | |
"worksheets": [ | |
{ | |
"cells": [ | |
{ | |
"cell_type": "heading", | |
"level": 1, | |
"metadata": {}, | |
"source": [ | |
"Die Frage ist, hat sich 'ungespielt' mit Unterst\u00fctzung von Mediakraft besser entwickelt, als es der Channel ohne Unterst\u00fctzung von Mediakraft getan h\u00e4tte?" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"Dazu m\u00fcssen wir uns die Video Abrufe vom YouTube Channel `ungespiel` anschauen und die Abrufe bis zum Tag an dem `ungespielt` zu Mediakraft gewechselt ist, als Datenbasis nutzen und in die Zukunft schauen." | |
] | |
}, | |
{ | |
"cell_type": "heading", | |
"level": 4, | |
"metadata": {}, | |
"source": [ | |
"Haben sich die Abrufe seitdem \u00fcberdurchschnittlich entwickelt oder unterdurchschnittlich?" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"import pandas as pd\n", | |
"%matplotlib inline\n", | |
"import matplotlib.pyplot as plt" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [], | |
"prompt_number": 4 | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"Die Daten sind bereitgestellt von [Bertram Gugel](https://twitter.com/digitalerfilm/status/548587199282032641). Danke! [[Google Doc Source](https://docs.google.com/spreadsheets/d/154mQs813dMKv1TRgntpludoge2lZk_aWYqiEHVxRsr8/edit#gid=430536199)]" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"data = pd.read_csv('ungespielt & ungefilmt - Video Daten - videodaten.csv')" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [], | |
"prompt_number": 5 | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"data.index = pd.to_datetime(data['Datum'])" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [], | |
"prompt_number": 6 | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"data.index" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"metadata": {}, | |
"output_type": "pyout", | |
"prompt_number": 7, | |
"text": [ | |
"<class 'pandas.tseries.index.DatetimeIndex'>\n", | |
"[2012-07-18, ..., 2014-12-23]\n", | |
"Length: 1637, Freq: None, Timezone: None" | |
] | |
} | |
], | |
"prompt_number": 7 | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"data.head(3)" | |
], | |
"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>Titel</th>\n", | |
" <th>Channel</th>\n", | |
" <th>Datum</th>\n", | |
" <th>Tag</th>\n", | |
" <th>Kategorie</th>\n", | |
" <th>Abrufe</th>\n", | |
" <th>Abrufe kumuliert</th>\n", | |
" <th>Social kumuliert</th>\n", | |
" <th>Social</th>\n", | |
" <th>Likes</th>\n", | |
" <th>...</th>\n", | |
" <th>Favoriten</th>\n", | |
" <th>Kommentare</th>\n", | |
" <th>Dauer</th>\n", | |
" <th>URL</th>\n", | |
" <th>FB Shares</th>\n", | |
" <th>FB Likes</th>\n", | |
" <th>FB Comments</th>\n", | |
" <th>FB Gesamt</th>\n", | |
" <th>Unnamed: 19</th>\n", | |
" <th>Tweets</th>\n", | |
" </tr>\n", | |
" <tr>\n", | |
" <th>Datum</th>\n", | |
" <th></th>\n", | |
" <th></th>\n", | |
" <th></th>\n", | |
" <th></th>\n", | |
" <th></th>\n", | |
" <th></th>\n", | |
" <th></th>\n", | |
" <th></th>\n", | |
" <th></th>\n", | |
" <th></th>\n", | |
" <th></th>\n", | |
" <th></th>\n", | |
" <th></th>\n", | |
" <th></th>\n", | |
" <th></th>\n", | |
" <th></th>\n", | |
" <th></th>\n", | |
" <th></th>\n", | |
" <th></th>\n", | |
" <th></th>\n", | |
" <th></th>\n", | |
" </tr>\n", | |
" </thead>\n", | |
" <tbody>\n", | |
" <tr>\n", | |
" <th>2012-07-18</th>\n", | |
" <td> Let's Play SLENDER - Caty allein im Wald! [BLI...</td>\n", | |
" <td> ungespielt</td>\n", | |
" <td> 2012-07-18</td>\n", | |
" <td> Mittwoch</td>\n", | |
" <td> Gaming</td>\n", | |
" <td> 95697</td>\n", | |
" <td> 95697</td>\n", | |
" <td> 2474</td>\n", | |
" <td> 2474</td>\n", | |
" <td> 1919</td>\n", | |
" <td>...</td>\n", | |
" <td> 0</td>\n", | |
" <td> 520</td>\n", | |
" <td> 0:19:53</td>\n", | |
" <td> http://www.youtube.com/watch?v=58EpVElGHSo</td>\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>2012-10-12</th>\n", | |
" <td> HUNGER GAMES 4 | Team mit SuprimeGames | Deuts...</td>\n", | |
" <td> ungespielt</td>\n", | |
" <td> 2012-10-12</td>\n", | |
" <td> Freitag</td>\n", | |
" <td> Gaming</td>\n", | |
" <td> 44333</td>\n", | |
" <td> 140030</td>\n", | |
" <td> 3641</td>\n", | |
" <td> 1167</td>\n", | |
" <td> 840</td>\n", | |
" <td>...</td>\n", | |
" <td> 0</td>\n", | |
" <td> 300</td>\n", | |
" <td> 0:08:37</td>\n", | |
" <td> http://www.youtube.com/watch?v=whuL10H4nb4</td>\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>2012-10-13</th>\n", | |
" <td> PVP SPECIAL: BATTLE ISLAND #1 [German/HD] - Vo...</td>\n", | |
" <td> ungespielt</td>\n", | |
" <td> 2012-10-13</td>\n", | |
" <td> Samstag</td>\n", | |
" <td> Gaming</td>\n", | |
" <td> 27756</td>\n", | |
" <td> 167786</td>\n", | |
" <td> 4079</td>\n", | |
" <td> 438</td>\n", | |
" <td> 356</td>\n", | |
" <td>...</td>\n", | |
" <td> 0</td>\n", | |
" <td> 73</td>\n", | |
" <td> 0:14:50</td>\n", | |
" <td> http://www.youtube.com/watch?v=tdDIN7NqHms</td>\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", | |
" </tbody>\n", | |
"</table>\n", | |
"<p>3 rows \u00d7 21 columns</p>\n", | |
"</div>" | |
], | |
"metadata": {}, | |
"output_type": "pyout", | |
"prompt_number": 8, | |
"text": [ | |
" Titel Channel \\\n", | |
"Datum \n", | |
"2012-07-18 Let's Play SLENDER - Caty allein im Wald! [BLI... ungespielt \n", | |
"2012-10-12 HUNGER GAMES 4 | Team mit SuprimeGames | Deuts... ungespielt \n", | |
"2012-10-13 PVP SPECIAL: BATTLE ISLAND #1 [German/HD] - Vo... ungespielt \n", | |
"\n", | |
" Datum Tag Kategorie Abrufe Abrufe kumuliert \\\n", | |
"Datum \n", | |
"2012-07-18 2012-07-18 Mittwoch Gaming 95697 95697 \n", | |
"2012-10-12 2012-10-12 Freitag Gaming 44333 140030 \n", | |
"2012-10-13 2012-10-13 Samstag Gaming 27756 167786 \n", | |
"\n", | |
" Social kumuliert Social Likes ... Favoriten Kommentare \\\n", | |
"Datum ... \n", | |
"2012-07-18 2474 2474 1919 ... 0 520 \n", | |
"2012-10-12 3641 1167 840 ... 0 300 \n", | |
"2012-10-13 4079 438 356 ... 0 73 \n", | |
"\n", | |
" Dauer URL FB Shares \\\n", | |
"Datum \n", | |
"2012-07-18 0:19:53 http://www.youtube.com/watch?v=58EpVElGHSo NaN \n", | |
"2012-10-12 0:08:37 http://www.youtube.com/watch?v=whuL10H4nb4 NaN \n", | |
"2012-10-13 0:14:50 http://www.youtube.com/watch?v=tdDIN7NqHms NaN \n", | |
"\n", | |
" FB Likes FB Comments FB Gesamt Unnamed: 19 Tweets \n", | |
"Datum \n", | |
"2012-07-18 NaN NaN NaN NaN NaN \n", | |
"2012-10-12 NaN NaN NaN NaN NaN \n", | |
"2012-10-13 NaN NaN NaN NaN NaN \n", | |
"\n", | |
"[3 rows x 21 columns]" | |
] | |
} | |
], | |
"prompt_number": 8 | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"@unge war ab 01.01.2014 bei @mediakraft, daher teilen wir die Daten und nehmen auch nur den Channel 'ungespielt'" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"data = data['2012-08-01':]\n", | |
"vormediakraft = data['2012-08-01':'2013-12-31']\n", | |
"mitmediakraft = data['2014-01-01':]\n", | |
"mitmediakraft = mitmediakraft[mitmediakraft['Channel']=='ungespielt']" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [], | |
"prompt_number": 9 | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"vormediakraft.Abrufe.plot(label='Vor Mediakraft')\n", | |
"mitmediakraft.Abrufe.plot(label='ab 2014 mit Mediakraft')\n", | |
"plt.legend(loc=2)\n", | |
"plt.ylabel('Abrufe')\n", | |
"plt.ylim(0, 10e5)" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"metadata": {}, | |
"output_type": "pyout", | |
"prompt_number": 10, | |
"text": [ | |
"(0, 1000000.0)" | |
] | |
}, | |
{ | |
"metadata": {}, | |
"output_type": "display_data", | |
"png": "iVBORw0KGgoAAAANSUhEUgAAAZ0AAAETCAYAAADtZdsKAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAAAASUVORK5CYII=\n", | |
"text": [ | |
"<matplotlib.figure.Figure at 0x107a16690>" | |
] | |
} | |
], | |
"prompt_number": 10 | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"Jetzt ist die Frage, ob sich die orangene Kurve besser entwickelt h\u00e4tte, wenn er ab 2014 nicht zu Mediakraft gegangen w\u00e4re. Dazu m\u00fcssen wir uns ein Modell \u00fcberlegen, welches den Verlauf der orangenen Kurve am besten beschreibt und mit dem wir 'in die Zukunft' blicken k\u00f6nnen.\n", | |
"\n", | |
"Die Mathematik hat daf\u00fcr [Wachstumsmodelle](http://de.wikipedia.org/wiki/Wachstum_(Mathematik) in petto.\n", | |
"\n", | |
"\n", | |
"\n", | |
"Ein einfaches Modell w\u00e4re ein Gerade, der lineare Verlauf. Ein linearer Verlauf ist aber wenig wahrscheinlich. Ein polynomischer Ansatz w\u00e4re denkbar, da wir aber extrapolieren wollen (also au\u00dferhalb der orangenen Kurve Abrufe berechnen), ist ein polynomischer Ansatz ungeeignet.\n", | |
"\n", | |
"Wir probieren zuerst einen linearen Ansatz." | |
] | |
}, | |
{ | |
"cell_type": "heading", | |
"level": 2, | |
"metadata": {}, | |
"source": [ | |
"Lineares Community Wachstum" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"import numpy as np" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [], | |
"prompt_number": 11 | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"Wir ben\u00f6tigen noch einen Vektor mit Zahlen aus dem Zeitstrahl" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"timestamp = vormediakraft.index.astype(np.int64) // 10**11\n", | |
"timestampoffset = timestamp[0]\n", | |
"timestamp = timestamp - timestampoffset" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [], | |
"prompt_number": 12 | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"Scipy findet f\u00fcr uns die Parameter, wenn wir die Funktion vorgeben." | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"from scipy.optimize import curve_fit" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [], | |
"prompt_number": 13 | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"$\\text{Abrufe}(t) = m \\cdot t + n$, wobei $m$ und $n$ zu sch\u00e4tzen sind." | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"def linfit(t, m, n):\n", | |
" return m*t+n" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [], | |
"prompt_number": 14 | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"popt, pcov = curve_fit(linfit, timestamp, vormediakraft.Abrufe)\n", | |
"print('m=%.3f, n=%.3f' % (popt[0], popt[1]))" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"output_type": "stream", | |
"stream": "stdout", | |
"text": [ | |
"m=0.369, n=26368.641\n" | |
] | |
} | |
], | |
"prompt_number": 15 | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"Jetzt berechnen wir f\u00fcr jeden Zeitpunkt die modellierten Abrufe" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"vormediakraft['DataFitLin'] = linfit(timestamp, *popt)" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [], | |
"prompt_number": 16 | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"vormediakraft.DataFitLin.plot(label='Model Fit (linear)')\n", | |
"vormediakraft.Abrufe.plot(label='Real', alpha=0.6)\n", | |
"plt.legend(loc='best')\n", | |
"plt.ylabel('Abrufe')" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"metadata": {}, | |
"output_type": "pyout", | |
"prompt_number": 17, | |
"text": [ | |
"<matplotlib.text.Text at 0x1090e9790>" | |
] | |
}, | |
{ | |
"metadata": {}, | |
"output_type": "display_data", | |
"png": "iVBORw0KGgoAAAANSUhEUgAAAZ0AAAETCAYAAADtZdsKAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nB/lBRD3R0LmsAAAAAElFTkSuQmCC\n", | |
"text": [ | |
"<matplotlib.figure.Figure at 0x1090e4590>" | |
] | |
} | |
], | |
"prompt_number": 17 | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"Passt! Die orangene Kurve beschreibt die gr\u00fcne Kurve. Damit k\u00f6nnen wir nun berechnen, wie es weiter gehen w\u00fcrde, wenn alles so bliebe und `unge` nicht zu `Mediakraft` gewechselt w\u00e4re." | |
] | |
}, | |
{ | |
"cell_type": "heading", | |
"level": 3, | |
"metadata": {}, | |
"source": [ | |
"Extrapolieren (Blick in die Zukunft)" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"Wie w\u00fcrde sich der Channel weiter entwickeln, basierend auf den Daten von Nov 2012 bis 31.12.2013 (als unge zu Mediakraft gewechselt ist)?" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"timestampmitmediakraft = mitmediakraft.index.astype(np.int64) // 10**11\n", | |
"timestampmitmediakraft = timestampmitmediakraft - timestampoffset" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [], | |
"prompt_number": 18 | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"mitmediakraft['ForecastLin'] = linfit(timestampmitmediakraft, *popt)" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [], | |
"prompt_number": 19 | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"Die Abrufe filtern wir noch etwas mit dem [exponentially weighted moving average (kurz: EWMA)](http://de.wikipedia.org/wiki/Exponentielle_Gl%C3%A4ttung), damit die gr\u00fcne Kurve etwas ruhiger wirkt." | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"plt.figure(figsize=(7,5))\n", | |
"vormediakraft.DataFitLin.plot(label='Model Fit (linear)')\n", | |
"#mitmediakraft.Abrufe.plot(alpha=0.6, label='reale Entwicklung (mit Mediakraft)')\n", | |
"pd.ewma(data.Abrufe, span=30).plot(alpha=0.5, label='reale Entwicklung (gegl\u00e4ttet)')\n", | |
"mitmediakraft.ForecastLin.plot(label='Extrapolation (Blick in die Zukunft)')\n", | |
"\n", | |
"plt.ylabel('Video Abrufe \\'ungespielt\\'')\n", | |
"plt.ylim(0, 5e5)\n", | |
"plt.legend(loc=2)\n", | |
"plt.title('YouTube \\'ungespielt\\' Abrufe mit/ohne Mediakraft')" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"metadata": {}, | |
"output_type": "pyout", | |
"prompt_number": 20, | |
"text": [ | |
"<matplotlib.text.Text at 0x109221250>" | |
] | |
}, | |
{ | |
"metadata": {}, | |
"output_type": "display_data", | |
"png": "iVBORw0KGgoAAAANSUhEUgAAAdAAAAFRCAYAAADEsfx9AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nCIIgCGogEtAgCIIgqIH/B8ireyrBwRAMAAAAAElFTkSuQmCC\n", | |
"text": [ | |
"<matplotlib.figure.Figure at 0x1090f3dd0>" | |
] | |
} | |
], | |
"prompt_number": 20 | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"Man sieht klar, dass sich der Channel `ungespielt` besser entwickelt hat, als es die Abrufe bis 31.12.2013 haben vermuten lassen.\n", | |
"\n", | |
"Ein lineares Wachstum ist wenig wahrscheinlich, weshalb wir noch einmal ein anderes Wachstumsmodell testen wollen." | |
] | |
}, | |
{ | |
"cell_type": "heading", | |
"level": 2, | |
"metadata": {}, | |
"source": [ | |
"Exponentielles Community Wachstum" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"F\u00fcr begrenzt wachsende Prozesse (weil YouTube ja nur eine gewisse Anzahl an Usern hat) hat sich das [logistische Wachstum](http://de.wikipedia.org/wiki/Populationsdynamik#Ein-Spezies-Modelle) als recht treffend erwiesen. Dieses Modell wird in vielen Bereichen angewendet. In der Biologie oder f\u00fcr nat\u00fcrliche Prozesse allgemein. Eine von Menschen bev\u00f6lkerte Platform wie YouTube k\u00f6nnte auch als biologischer Kosmos angesehen werden. Wir nehmen daher auch f\u00fcr die Community Gr\u00f6\u00dfe eines YouTube Channels ein logistisches Wachstum, allerdings ohne S\u00e4ttigung (da S\u00e4ttigungsgrenze nicht bekannt), weshalb sich nur das exponentielle Wachstum ergibt.\n", | |
"\n", | |
"$\\text{Abrufe}(t) = a \\cdot e^{-b\\cdot t} + c$, wobei $a$, $b$ und $c$ zu sch\u00e4tzen sind." | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"def expfit(t, a, b, c):\n", | |
" return a*np.exp(-b*t)+c" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [], | |
"prompt_number": 21 | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"popt, pcov = curve_fit(expfit, timestamp, vormediakraft.Abrufe, p0=(-2e5, 3e-6, 2e5)) # p0 sind Startparameter\n", | |
"print('a=%.3f, b=%f, c=%.3f' % (popt[0], popt[1], popt[2]))" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"output_type": "stream", | |
"stream": "stdout", | |
"text": [ | |
"a=-213563.589, b=0.000003, c=216742.536\n" | |
] | |
} | |
], | |
"prompt_number": 22 | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"vormediakraft['DataFitExp'] = expfit(timestamp, *popt)" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [], | |
"prompt_number": 23 | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"vormediakraft.DataFitExp.plot(label='Model Fit (exponentiell)')\n", | |
"vormediakraft.Abrufe.plot(label='Real', alpha=0.6)\n", | |
"plt.legend(loc='best')\n", | |
"plt.ylabel('Video Abrufe \\'ungespielt\\'')\n", | |
"plt.ylim(0, 5e5)" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"metadata": {}, | |
"output_type": "pyout", | |
"prompt_number": 24, | |
"text": [ | |
"(0, 500000.0)" | |
] | |
}, | |
{ | |
"metadata": {}, | |
"output_type": "display_data", | |
"png": "iVBORw0KGgoAAAANSUhEUgAAAZgAAAETCAYAAAALTBBOAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAIABJREFUeJzsvXm4FdWV9/9Z584D8yjgRRQcUEAx4hDihFNMx9gZFNNx\nSOy3f2K6fdtOdzR228ZWEzWDHdNqTBvHKNE4RPPGKAY1elVERRAZBBG4wOUCdx7PvH9/nDrnnqGq\nTlWdOhPU93nuc0/t2sOqXbv22mvYa4tSCg8ePHjw4MFt+IpNgAcPHjx42D/hMRgPHjx48JAXeAzG\ngwcPHjzkBR6D8eDBgwcPeYHHYDx48ODBQ17gMRgPHjx48JAXFJTBiMg2EflIRD4UkZVa2lgReUVE\nNonIMhEZnZT/ByKyWUQ2isg5SenHi8ha7d4vktJrRORJLX2FiExPune51sYmEbmsUM/swYMHDwcq\nCi3BKOB0pdRxSqkFWtr1wCtKqcOB5do1IjIbuBiYDZwH3CsiopW5D7hSKTULmCUi52npVwIdWvpd\nwB1aXWOB/wQWaH83JTMyDx48ePDgPoqhIpO06wuAR7TfjwAXar+/AixVSoWUUtuAT4ETReQgYIRS\naqWW79GkMsl1PQMs0n6fCyxTSnUrpbqBV4gxLQ8ePHjwkCcUQ4L5i4i8LyL/R0ubpJTao/3eA0zS\nfk8BdiaV3QlM1UnfpaWj/d8BoJQKAz0iMs6kLg8ePHjwkCdUFri9zyuldovIBOAVEdmYfFMppUSk\nKLFrlixZorZs2cLkyZMBaGhoYObMmRx77LEArF69GkD3Ov7b6H6pXn/66ad8/etfLxl6rFzH00qF\nHm98lOb1008/bfn7LaXreFqp0GM0nl9++WUAJk+ezLx58/je976XrpkCQIoVi0xEbgL6gf9DzC7T\npqm/XlNKHSki1wMopW7X8r8E3ARs1/IcpaVfApyqlFqi5fmhUmqFiFQCu5VSE0RksdbGVVqZ+4FX\nlVJPxulZvny5mj9/vqNnufrqq7n33nsdlS0mypHubDSvbLsWgPF1J3LoqMWFIssUpdjPa9vvZCi8\nG4AFk+/SzZNM97aep9k79JZp/jg+3PufhKJ9lvICbO56mK7AmkT+NftuJRDpsFw+G+12EVUhuvxr\nGVVzJJW+ekd1xBGODrBq738AMHf8DdRWTjDNX4pjJRtWrVrFokWLdBlMwVRkIlIvIiO03w3AOcBa\n4AXgci3b5cAftN8vAItFpFpEZgCzgJVKqTagV0RO1Iz+lwLPJ5WJ1/V1Yk4DAMuAc0RktIiMAc4G\nXs7To3ooAUiGqc9DKkonyK1kvKrivrudfS+ypecxNnU9UFQ69gcUUkU2CXhOcwSrBB5XSi0TkfeB\np0TkSmAbcBGAUmq9iDwFrAfCwNVqWNy6GngYqANeVEq9pKX/BnhMRDYDHcBira5OEbkFeE/Ld7Nm\n7HcFTU1NblVVUJQj3R7NhYNzunNjEG4sDnLp8+7AOgD6Q1tzpkPZZOTlOlaMUDAGo5TaChyrk94J\nnGVQ5kfAj3TSPwDm6KQH0BiUzr2HgIfsUW0NCxcuzEe1eUc50m2d5tKRYEqxn62oxotHd+6KlVxo\nt8sUzCuzV1cpjpVc4O3k97CfonQYzP4Ae5NujhJMps7MQ5mi0F5kZYlgMEh7e7vh/XHjxtHa2lpA\nitxBOdKdjeZRwa8CoIIjaR0ojWcrxX72hWZBzZ7sGR3AvoorPf/+tO4tHVtXMeAxmCwIBoPs2bOH\nqVOn4vPpD/wpU6YUmCp3UI50Z6e59J6pFPvZt+8Edg5tIVq92zBPqrqmcBOlFFlFVkym4KnIDjC0\nt7ebMhcPHsoRk8YfTH34uDzVXnwjfy5w1QZzgMObNS3AYy4e9jeICD5fjWme5ubmQlGTdpk7g8mJ\ndhf3BtqtqXB9Xhh4M6cHDwco7EkKNqZKz0ifhANbGvIYjAcPHnTh1B5gV8WVD5WYZ4MpDXgMxkMG\nWlpaGDduHNFoNGveJ554gvPPP99W/e+88w4nnniirTKBQICTTz6ZvXv32ipXrti5cydNTU2W9quk\nv4Nx48axbds2AG688UYeeigv2788WIInwXgoY8ybN4/JkyfT2dmZkn7aaacxbtw4du7caVAy/4gz\nqqampsTfaaedxsknn8y7776byDdv3jzeeOMN07oeeeQRPv/5zzNx4sR8k10UpPfBtGnTaGlpyXlP\nyD/+4z/y85//nFAoZLtsOdsDcqG9mEb+cu5zPXgMpswhIkyfPp1nnnkmkbZ+/Xr8fn/JbFjbtm0b\nLS0ttLS08Ne//jXjvohkXak//PDDXHSRbpCG/QJW+sAJJk2axKxZs/jzn/+cUz353WhZGuN0GAe2\n1OEmPAazH+Ciiy7iyScTgaFZunQpF198ccqE1dvby5IlSzj88MOZN28eP/vZzxL3o9EoN954I7Nm\nzWL+/PksW7Yspf7e3l7+6Z/+idmzZ3P00Udz2223WVKfGaG5uZljjjkGgKuuuoqdO3fyzW9+k6am\nJn75y19m5N+5cyfbt2/nc5/7XCItEAhw4403MnfuXI488ki+973v4ff7Abj44ou58cYbE3mvvPJK\nrrnmGiCmTjrvvPO47rrrOOSQQzjxxBNTJIfdu3fzzW9+k8MOO4zPfe5zPProo4l7t99+O9/+9re5\n+uqraWpq4pRTTkkJs757924uu+wyDj/8cI477jh+/etfWyqr1wfpaspc3sHChQsz3qnVcsMor0m3\nVGwwdqWh/c0G4220zBFjfjDWlXq6ftyZPZMBPve5z/HUU0+xadMmDjvsMJ577jleeuklbrvttkSe\n6667jv7+fj788EM6Ozv52te+xqRJk/jWt77FI488wrJly/jrX/9KfX09l112WYr0893vfpeJEyfy\nwQcfMDAwwOLFi5k6dSpXXHGFJfrMVua/+tWvWLFiBXfffTennnqqbp7169czffr0FHfxm2++mZaW\nFt58800qKir4h3/4B37yk59w44038stf/pIvfOELnHPOObS1tbF69eoUJrJq1SouvPBCtmzZwgsv\nvMBll13GmjVrGDVqFH//93/P0UcfzcMPP8ymTZv46le/yowZM/jCF74AwMsvv8yjjz7KPffcw623\n3sr3v/99li1bRjQa5Zvf/CZf+tKXePDBB9m1axd/+7d/y8yZMznzzDNNy+r1QUtLS0of5PIOZs2a\nxR//+Mes+TzkA+XFmN2GJ8HsJ4hLMa+99hpHHHEEBx10UOJeJBLhueee48Ybb6ShoYGDDz6Yq6++\nmqeeegqAP/zhDyxZsoQpU6YwevRorr322gRT2Lt3L3/5y1+47bbbqKurY/z48SxZsoTnnnvOMm0z\nZ85kxowZzJgxg3vuucf2s/X09NDY2Ji4Vkrx2GOPceuttzJq1CgaGxv553/+Z5599lkAJk6cyE9/\n+lOWLFnCDTfcwL333ktDQ0Oi/IQJE7jqqquoqKhIMIGXX36ZnTt3snLlSm666Saqq6s55phjuPTS\nS/nd736XKHvSSSdx1llnISJ84xvfYN26WOTdVatW0dHRwb/+679SWVnJ9OnTufTSSxM0mZXNhlzf\nQWNjIz09PZbyJsOpPaDYGyXBs8GUCjwJJkfkInm4BRHh4osv5vzzz2f79u0sXrw4RWro6OggFApx\n8MEHJ9KmTZvG7t2xMCFtbW1MnTo15V4cO3bsIBQKcdRRRyXSotFoSp5s2LJlS4r0YfcjGj16NP39\n/Ynr9vZ2BgcHOeOMMxJpSqkUldG5557Lddddx6xZszI81pKZL8DBBx9MW1sbe/bsYcyYMSnMaNq0\naXz44YeJ62Qng/r6evx+P9FolB07dtDW1saMGTMS9yORCKecckrWstk28ub6Dvr7+xk1apSlvMVB\n8RlSCtzcaFmkAx1LBR6D2U8wbdo0DjnkEP7yl79k2DHGjRtHVVUVLS0tHHHEEUDMrhGPkTV58mR2\n7dqVyJ/seTZ16lRqamoymISbyOaMMHv2bFpaWhKT8bhx46irq+Odd95JHHGdjltvvZUjjjiClpYW\nnnnmGb72ta8l7sUZaxw7duzg/PPPZ/LkyXR1ddHf35+QmJL7yQxTp05l+vTpvPfee7r3sz2j2f1c\n38GmTZsSNi87SLEH2Jooy30fTPFQrnQbwVOR7Ue4++67ef7556mrq0tJr6io4MILL+S2226jv7+f\nHTt2cN999/GNb3wDgAsvvJD777+f1tZWuru7+cUvfpEoO3nyZM444wz+/d//nb6+PqLRKFu3buXt\nt992je4JEyawdavx4U5Tp05lxowZvP/++0AsdM+ll17KDTfckIhy3drayquvvgrA22+/zdKlS7nv\nvvu45557uP7661OYyr59+7j//vsJhUL84Q9/YPPmzZx99tlMnTqVBQsWcMsttxAIBFi3bh2PP/64\nJe+1448/nsbGRu6++26GhoaIRCKsX78+If1kW8ma9UGu7+Ctt97irLN0j1zyoAN3VWQHtgTjMZj9\nCIcccgjz5s1LXCeviu+44w7q6+uZP38+559/Pt/4xjf4u7/7OwAuu+wyzjzzTE499VTOPPNMvvzl\nL6eUvffeewmFQpx88skceuihfPvb32bPnj2JNsxW30b3ktOvvfZafvazn5naaK644oqEzQjghz/8\nIYceeijnnHMO06dP56tf/Spbtmyhr6+Pq6++mjvvvJPJkydz0kkn8a1vfYt/+qd/SpQ9/vjj+eyz\nz5g1axY//vGPeeSRRxg9ejQA//u//0tLSwuzZ8/msssu4/rrr08Y3vWeNX5dUVHB0qVLWbt2LfPn\nz2fWrFlce+219PX1ZS1r1AdO30Hy77a2NjZt2sSXvvQl3X41g3N7QPFVXqVjy7DHYEqHbncgB7qO\nMI7ly5er+fPnZ6S3traWZLj1Aw3BYJDTTjuN559/PqfNlk888QS//e1vefHFF12krnRx4403JhhS\nOj7Z9iY9tc+yYPJdumWbm5sTKpst3Y/T4Y9JkEb541jbfgdD4TZLeQE+636Cdv97ifzrOu5iINRi\nuXw22u3igz0/IKL8ObUfhz+8j4/aY4fyzh1/A7WVE0zz50J3sbBq1SoWLVqku6rwbDAeygLV1dW8\n8847xSaj7HDLLbc4LluwiS4PG4LLbZKOo1zpNoKnIvNwQCGbSs+DEQp3ZHKx4aYN5kA/W8ZjMB4O\nKFxyySX86U9/KjYZZYFytgeUK+3lSrcRPAbjwYOHIqO8JR5zeBKMBw8ePGTAuT2g+AwjJ1uGq45P\nB3YsMo/BePDgwQKsT5SlcOCYh9KAx2A8ePCgi3K2B3ixyEoDHoPx4MGDyyh3icSLReYWPAbjIQXJ\nZ7V4OLCRbA/I76q+1PbBFI8peDYYDyWDefPmMXXqVJqamjjyyCO56qqr6O3tLTZZHg5weDaVZHgS\njIcyhYiwdOlSWlpaeOONN1i/fj0/+9nPik2Wh/0EqfYAGxNlCWxkLR0bzIEdi8xjMPsJJk6cyBln\nnMHGjRsBeO+99zj33HOZMWMGp556Km+99VYi7+OPP85JJ51EU1MT8+fP5+GHHy4S1R48eNif4cUi\nyxEr2651pR6nQfXiRsRdu3axfPlyLrjgAlpbW7nkkkv41a9+xVlnncXrr7/O5ZdfzsqVKxk7diwT\nJ07kySefZPr06bz99ttcdNFFzJ8/n7lz57ryLB72DxRuH8z+a4OxKw15NhgPJQOlFJdeeilNTU3M\nnTuXGTNm8L3vfY/f//73nH322YkzQE4//XSOPfZYli1bBsDZZ5/N9OnTATjllFM444wzvECSHrLg\nQLIlHEjPml8UVIIRkQrgfWCnUurLIjIWeBKYDmwDLlJKdWt5fwB8B4gA1yillmnpxwMPA7XAi0qp\n/6ul1wCPAvOBDuBipdR27d7lwL9rZNyqlHrUrWfKNZx3LhARfvvb33Lqqafy9ttvc8kll7B69Wp2\n7NjB888/z0svvZTIG4lEEueavPLKK9x555189tlnRKNRhoaGmD17drEew0OJolCh4/PhFFCOYe+h\nfOk2QqElmP8LrGd4iXA98IpS6nBguXaNiMwGLgZmA+cB98pwCNz7gCuVUrOAWSJynpZ+JdChpd8F\n3KHVNRb4T2CB9neTiIzO61MWAaeccgr/8A//wM0338y0adO46KKL2Lp1a+KvpaWFa665hkAgwBVX\nXME111zDpk2b2Lp1K2efffYB76/vwT14XmQe4igYgxGRacD5wAMMK10vAB7Rfj8CXKj9/gqwVCkV\nUkptAz4FThSRg4ARSqmVWr5Hk8ok1/UMsEj7fS6wTCnVrUlHrxBjWvsdrrrqKlatWsVJJ53Eyy+/\nzKuvvkokEsHv99Pc3ExrayvBYJBgMMi4cePw+Xy88sorvPbaa8Um3UMJ4oCNRZaAG8/h2WAKhbuA\nfwOiSWmTlFJ7tN97gEna7ynAzqR8O4GpOum7tHS0/zsAlFJhoEdExpnUtd9h3LhxLF68mHvvvZfH\nH3+cu+66i8MPP5y5c+dyzz33oJRixIgR3H777XznO9/h0EMP5dlnn+WLX/xiSj3eeSke0pFXAbdk\nx1up0lU+KIgNRkT+BtirlPpQRE7Xy6OUUiJSND3N008/zQMPPEBTUxMAo0aNYs6cORx66KHFIikr\nVq9enZH205/+NPH7j3/8o265K6+8kiuvvFL33sKFC1m7dq07BHooafT3BWOWTIb3X8RX0M3Nzaxd\nu5YlS5YA8MGKT+kLtTFvwWTD/MnXa1ZqRyZfYFy/WX675dOv77vvPubMmWM5vz494rj9+PWxC5oS\n9fWPepczT/sb0/zxNKftFeK6ubmZJ554AoCmpiYmTpzIokVxhVEqpBC6dxH5EXApECY2pEcCzwIn\nAKcrpdo09ddrSqkjReR6AKXU7Vr5l4CbgO1anqO09EuAU5VSS7Q8P1RKrRCRSmC3UmqCiCzW2rhK\nK3M/8KpS6slkGpcvX67mz5+fQXtraytTpkxxvU88eCg2Ptn2Jj21zxo6qiQbnDd3PUxXYA2Q3bFl\nfcfd9Ie2WsoLsK33GfYONifyr+u4i4FQi+Xy2Wi3i/jWA6GCEyb/NEtuc/QHW1jfGXuGueNvoLZy\ngmn+cjTyr1q1ikWLFumKewVRkSmlblBKHayUmgEsJjbBXwq8AFyuZbsc+IP2+wVgsYhUi8gMYBaw\nUinVBvSKyIma0f9S4PmkMvG6vk7MaQBgGXCOiIwWkTHA2cDLeXtYDx72E6ROdPkL158PlM4kfWDb\nYIq10TLe67cDT4nIlWhuygBKqfUi8hQxj7MwcLUaFrWuJuamXEfMTTnui/sb4DER2UzMTXmxVlen\niNwCvKfluznuCu3Bg4d8oPgMxh142wRzRcEZjFLqr8Bftd+dwFkG+X4E/Egn/QNgjk56AI1B6dx7\nCHjIOdUePBx4SFXX5E+Vvn/vg7Efi6w06HYHHov24OEAhUpx6HQRJesVZg+loOord3gMJguqq6vp\n6OjwNiJ62K8wMNBLQO01zVPOK+lSof1Aj0XmBbvMgvHjx9Pf309ra6u3P6QM0BfcAkBt5QSqfCML\n2nZEDTEYagWgoaoJn1RZKtcX3Ep8e9iI6sPyQps/so9QpJf6qilUSB3tgXcI1L6dl7bcXPn3Bj9l\nZPVM1+qzBe97zxkeg7GAxsZGGhsbDe+Xq960HOnORvPKtp8AMGbkxUysP7JQZAGxyXB357MATB//\n79RWjgey07xqz72E1QAAR+Qptt3Ktp9AFUjNMRw+5kp2tWUPbppMt72VuHvRlDd23uPIVbl0xrZn\ng/HgYb9DUdaeKWpUT6VaTghHB9jR9//wh9tdrTe/R02XPjwJxgWU64qjHOkuZZqNJpOsNIsUjB/F\nDftWJr5S7utssEv71p7f0xVYQ/vQe4m0Yhj5y7nP9eBJMB72UxRDhlFJv0p0Y6JjZ5X8qchKwVtr\nMBwLVxiK9ialFp+ucofHYFxAuZ6jXY50m9Gc4ulXFAOt/iRcjv0M5Us3WKM9HB1i98BrBCM9BguC\nwkdTLuc+14OnIvPgwSWkTlJ29pgUjhkO732xN/HlVyIrjqSwvfdpOvyrYmoxbxtCXuBJMC6gXPWm\n5Ui3Oc2lOUmUVj+rtP/GyOd5MBEVzOveMiu092ou7UPh3ej1hyuqO5vPWFpjJXd4DMbDfoPie+wk\n2WC8FbEhBkO7+GDPdWzrfarIlOT/HRV/TBYXHoNxAeWqNy1Hus1pLvLHbNB89n4uhoosOxyPjyz2\nrz2DbwGwb2hFvICzdkxgjfZkpwydfimCHa8cv0kzeAzGgweXkLpa3c+8yFyVyMpjVV8K3m3lDo/B\nuIBy1ZuWMt2Dod1aCJVUlLYNRp/BlHI/m8Ep3dkm5rwF2UyCfdpLw4usXMeKETwG46Ek8XHHnWzo\nvJtwdKDYpNiAUwZXTBVZPtrOUmee7FND4T1s6voNg6Fdtssa2UoCkS42dz1If3BbjtQdmPAYjAso\nV71pOdAdSmMwpvtgiizBqBSd/vDv0u5nY2aQSrd7fZv+npKDyObiHLG56zd0Bz5mQ+e99vtct11h\nW89TdAXWsr7zFw6pGq73o/YfsbnrQdPcpT1W7MNjMB5KGrb04OXquXXARe3Nz3sKRGIH1UbUoO2y\neosTQQhF+3OiKb3ersDanOorN3gMxgWUq960POhOnXzLxwYzjGz9XEhjsh37RzLd7m60zNd7ysXu\npU+TSGGnyPL4Jq3DYzAeShzltLovh2jKaeqpIvRv/oz8ufS5vopMqMihTqN6Dxx4DMYFlKvetBzo\nTj/kraRtMAYqulLaB2MHzsdHLhKM83eYi93LaOwUmgGXwzdpBx6D8bAfodirxdLfya+UUy8y96Ip\n569rXK5YBAqsItvf4PWeCyhXvWk50C1pQ7SUaXZ8HkxRYcwM8kd3CdpgdLieIBnjLweSLKG0x4p9\neAzGQ4nDjoqilKSGUqIlGfmnK7tTnDENhVRzZm8rdxtMsdW2xYbHYFxAuepNy5HuUrbBGBn5s/Vz\nMb3IFCG6/Ot08+ZrfOT/PYl7NpgCq8jK8Zs0g8dgPJQ0ymsfjLMTLYtt5N/c/YCFXC7aYEy9yNx4\nh07608jIn+sUWewxWVx4DMYFlKvetBzpTqZ57+AKWnqfLyI1qSgPG4z1CS9vdOd5ISCIJdpTFy9G\n58F4+2BygcdgPJQ4jFej23qfpG3wdQZDrVpKscP1O90HU0AVWYYXmcVyFp4nqkIEIz3k5qbsBqz1\np1Fon5Saco6yUL4SjFKKfYMrHMV2i8NjMC6gXPWmpUp3iouvhX0wURWMlcsrVVbgLBZZ7pNYfmB3\nfKzZdxur9/2QoBayxQjmzModFZn9sZ2vjZY6LZkw+VL6JnuCG9na+yQfd/zUcR0eg/GwH6HYwS6t\nYzDUysbOX+W0OnSG/PVRKNoDQH9oe9FoAKdOE/mxwegx09aBvwCwZt+trGy7lqgK59SGETr9a9jS\n/Zjj+gPh9pxp8BiMCyhXvWnp0m08AenRXHzvMT2Y78n4pOt+eoOf8EnX/YUkylZfpdBtw26SbVLO\n+3kwYs0Gk70aHyLuSzB7tRM9A5EOAHoCGxL33PwmP+1+mA7/KvYNveusAhc86DwG46HkYJ9hqLT/\nxYL19kPRXu1/H8X2InMfxTkPxjYMQvSbX9tuJCMl/u6Hc+S3P8JR+9GlwQ0PugIxGBGpFZF3RWS1\niKwXkR9r6WNF5BUR2SQiy0RkdFKZH4jIZhHZKCLnJKUfLyJrtXu/SEqvEZEntfQVIjI96d7lWhub\nROQyt5+vlPSmdlC6dBt/cHo0l44Ek0SHsm6DKSys95VTurPvHcnvRktxZIMZLp1SUx4kGDPkZ6w4\n61M39mcVhMEopfzAGUqpY4G5wBkishC4HnhFKXU4sFy7RkRmAxcDs4HzgHtl2BJ6H3ClUmoWMEtE\nztPSrwQ6tPS7gDu0usYC/wks0P5uSmZkHkoRziSYYjMaK15J+ih9L7J09AdbWNl2LVu6H8+4l/3I\n5NLwItMvKabX9lH8xY/jd15OKjKlEqcAVQMVQBdwAfCIlv4IcKH2+yvAUqVUSCm1DfgUOFFEDgJG\nKKVWavkeTSqTXNczwCLt97nAMqVUt1KqG3iFGNNyDaVryzBHqdJtNgHp0qxKREVmoPoppfNg7CCV\n7tRn260Zqjv87+uUzGFacUV95o4NJl9eZGAcDDU/32T2Pg1HBzIYUdlIMAAi4hOR1cAe4DWl1Dpg\nklJqj5ZlDzBJ+z0F2JlUfCcwVSd9l5aO9n8HgFIqDPSIyDiTujyUKmxOMnGGVPwIxnb2wRSLqTjr\nIzcPHMu3kT+3iXF4ShQkb6FiwmogeyaXkK2/h8J7WbX3P9jYdV/andyfvTLnGixCxdjjsSIyCnhZ\nRM5Iu69EpGgzxNNPP80DDzxAU1MTAKNGjWLOnDmJFUVcN6p3naw3tZK/VK7Xrl3LkiVLSoae4WvF\nmpVtABz3N6Tcj+dpbm5mQ2cb8xZMBhTNzc0EI700HhHL8+7baxhdEywo/V3+tUw6Jtb+irdX0VC1\nz3B8rFm5G0CjXxLPu+ACDOvP5Tpe/+dOGplyHWs/+/hY9e5WhsJtifwfrPiUvlBbSvn4+xDxseZd\ns+dRGc8bvz7+b1KvzehLv06MBxHuu+++rN/vpq5dHHPC6JT2jl1wcOK6tiLM6acelbgOjm223f9H\nHd+g+zxvvPkan/W0ZTxfvA433n/692GUv8v/kUZfG0dd8N3E/d7AZsYfTUb+5uZmnnjiCQCampqY\nOHEiixbFFUapkGKs+kTkRmAI+HvgdKVUm6b+ek0pdaSIXA+glLpdy/8ScBOwXctzlJZ+CXCqUmqJ\nlueHSqkVIlIJ7FZKTRCRxVobV2ll7gdeVUo9mUzT8uXL1fz58x09T3Pz8MArJ5Qq3eHoEKv23gDA\ncRNvocrXmLiXTPPKtmsBOGLM/8eomiPxh9v5qP02AGaMuoQJdQsKSnfbwBu09D2XQlM6zXGsbPsX\n4tJEfeU0BsMxIXvB5LvyQlu8r6p8Izlu4s2J6zj02k2me33H3fSHtibybu56MHG+fLxschtxTym9\nete1/5xXaoQqAAAgAElEQVSB8I7E/R19f2T3wKsAHD/xx2zsuo+BUIspbebPOIKBTedkHdur9vxH\nhiTho5oosY279ZXTGF0zm9aBZbboSEbH0Cq29DyWkT5n/A9Y2/5jAGaO/jZja+cC7n6T8f6YXH8G\nTSNjnHwovJdd/S8xtfE86ionAtDa/wo7+18EUp+x07+GT7sfzkhPx6pVq1i0aJGu2FgoL7LxccO6\niNQBZwMfAi8Al2vZLgf+oP1+AVgsItUiMgOYBaxUSrUBvSJyomb0vxR4PqlMvK6vE3MaAFgGnCMi\no0VkjNb2y24+XylO0lZQunQ73QdTOiqy5M1thbTBDIR20NL7PJFowCBH/mORZd8Hk38jv+OxnRRV\nQXL0IhsKtxGK9tsqk28bzOauB+j0f8imrl/r3E1H7uPSsopMRMYD5wOTlVJ3ishUwKeU2mGh+EHA\nIxJTaPqAx5RSy0XkQ+ApEbkS2AZcBKCUWi8iTwHrgTBwtRoWta4GHgbqgBeVUi9p6b8BHhORzUAH\nsFirq1NEbgHe0/LdrBn7PZQsytOLLOVD7v4NM0dfztjaY7MXczFUzLqOnwPgk2qmjfhiJoUueZGZ\nIgc3ZZcIcKkaccz8Q5Fe1rbf4Q4dOSLZBhOIdGr/O1Jy6KFg+2BE5DRgI/BN4EYteRZwr5XySqm1\nSqn5SqljlVJzlVI/0dI7lVJnKaUOV0qdkzzxK6V+pJSaqZQ6Uin1clL6B0qpOdq9a5LSA0qpi5RS\ns5RSJ2neZ/F7D2nps5RScU8z11Ba+xysoxzpLmWa0xncZz2/A4pDc3wiyQWO98HkYOQv9j6YTNqd\nTbJDkX2OyuV/H0zm8xgtOgq50fIXwGKl1HnEJAqAFcCJOVPgwUMa7K6yVam4KZfQ3hcj76fCSHnl\nEU05e9lcvMjce8ZwdICNnffR6f/IISXDtOg/jwGtLkjWVntvulLqL2lpIciTk3iZoXRtGeYoR7r1\naS4NBmNvb0NyXveZjfHq0zrzNtsHY952FgnG1LFIZbip23ZEyikWWfpGS2dTnFNVpB7du/qX0Rvc\nxKfdDzmqM7k/9cdFkVVkwIakHfNxLALW5kyBBw8ZcIFRFH1PjHXkZ6NlMTdvOrfBdAU+TniYOUVy\nfwYj3fjDHSa5zetxPsm6N/7ix1HYQTg6lETJMLPTex5jqbZwEsy/AL8VkUeBWhH5NbFd89/PmYL9\nAKVsFzBDqdJtpsbRj0UW+4CSV7pbe3+XtzDoxtCnW7+fhz/elBAzOoxxc9fDbOi8x9ZK3mhitKMi\nS6bb1kbLrKoV47q29iy1ld+AggTtq/fdzEftt1oeC5KmIktWE9mTpJwxGP2xYp/Jben5bRIlSQxG\n1yvO6LC1Am201PaWzAO+BfQDLcAJSqmd5iU9eCgkUj+U/tA2RlbPLFr7zqQoRfrKsSuwBoCIGqRS\nGqxVYzTJ26QpHB1kfcd/47dltHbXTVmhcl5LR1UQn1iY7kQMeYMiglh0vHXT1uVEwu0JrE+hZriu\nwhr5DXtLRFqVUlO03w8qpb6DFkDSQyrK0ZYBpUy3zVhkhjYYd9RE/vA+9g6+zUENZ1JVMcIwnxHV\n2fs5OUhm1OTDtv48bqjdFi5cyJbu39pkLlYmJqfHMVhtP9MGY1U1ZNZv9kLcOGMwumMlR2N7MgOx\nJcHk2QZTpcXyAvhGzi158GARzs+DyQ82dN5D2+DrbO19MktOh3SkSBVmddhhMO54kdndKAjZVSv5\nf796/WS171I3WqaSYZ3BuBkhJfeJ3pmRP0WN6/B5zCi/H9ghIjuAehHZofPXYlL+gIGZLSMU6WNr\nz+8ZDO0uIEXWUKo2GLMJRdcGo/Q3WrplPI8fBTwYas2S044NJrlUsg3GeBKz9zxGn3b+z4Nx+8Ax\n+x5ZMRtMyqRoWQoQg9/uSjBDYf2xpNfnuY7jVLrtGPmN6rAOQxWZUuo/NGN+E7FwK99i/zt6L+/Y\n1vt7ugJraR96jxMm31lscsoC9ldLhfEYixIiqiL4DMKHOF+15kGCMZxQ899XhVSRhSJ97BtawYS6\n4S15w8+evHK31nemKjIVsVRHrGXzCfnTbjv7vYf7UyllwYkiHckqMjsSTHod9l22TS1WSqkWoEVE\nvqyU+qvt2g8QmOnY4/prRahQ5FjG/mKDyaebZTLC0X7W7Psvjpt4s61ydvo5/VmcrcLBSIKxo55a\nuHAhGzs/ttGmTns6E6Ld1bAZzVt6HqM3uJnupHPt47HIojYYQnLZ4Z/pdOffi0xvrCQzhd0Df2FK\n49m26kwZQjpMwpIEo6KOPierscgOEZHv6DesHrTf7IGD4p9RUo5wusLNf1+nn6euT0f8yho9ylSC\ncfZMxlJEISQYt3fyG+fvDX4KkIj0HKfAWTvZkH8jvz6G+7Nt4K+2GUxWCcbSHOW+DSYZl6b9/Rvw\nK+33AY/StWWYo1TptrsPJj74i8/Mndlg0r3IUu84fabcVWTu2GAy23PXyK/vCdbc3OzIbpA8Aacz\naTv1OR2L+jaYYTqiyr4mJCVUjFMJxm0bTErlSp2enqZJNLMdterBgyns75PQT89P5GClororQefM\nIKlcxsTkUILJ00mMRrClykvKG4r0Js6CMcxuqQ98DK/UhVC019EOeFM6bKnc8iPBxM+qsYPUnfx6\n78aKisyJujG382AeAa7Mofx+AzMdu32DXOGwv9hgjMo5/SiywXgVqU93tn5Wpm7KTlVkuUcFztf4\nSGYYrQPpIQ71CmTvg+TnHQrvoeHwV/i4/acOqHPHi8zpYiObDcYRUpi/UyO/fh7jc4disCTBSOYT\n1hNTj3VZKX8go/hqm/KD7T5LuLGml8uTBEMYqNG947TG4V/O7DiQ3m/pQRslz9YXIylSbxf+8Hux\nFsLFqgQT0XLHFgBx93K3YM9d2r2x56absr6KLDuteuPwvbbvowhRaWIpscoaw2l/vcANxA7/OuBR\nqraMbChHuvVjkcX/p0/O+VKR6UtGRozR3t6GtDoKEP/KCHbGh3Ffm9tgFNmlTCtPld6fsTPm7SO5\nnsx3lH8JJlvcOmdIssHoudhbGGN679eKZ6xVL7IZpD7lgFLK2Yk6HjxkhTuMIV/SYxSrQTSttm9s\n5LfDNFIn6/Rywyv8UoI1qcBCH5jEELMH6yqywdBuOvyrmNKwiApfbWo1bu7kz1FFZhRNORDppMo3\n0rqbsgNkZTAiUgm8CsxWSpkr3A5QlK4twxzlSLc+zbHB3+FfpZvuNozVOvr2k6w2mGQGk34Wii3P\npWEGohfVwO6UZ28fjFHtOunKngRjhXOke3zNWzDZQr36NRlSkTbJftxxp5Yeomnkhem5HbWua4PJ\nNVRMynkwwxLMmn23UFd5EPWVUyxU4uxbykq5Uiqs1V7nqIUDHp4Nxi6cqBeGwm3sHUxVL+RLRRZV\nAYKRbp07brxrdySYXf1/trHqzN3jzM4K1zw0TuYEb+U9uhGYEdKccixuENU7Htndr95FCSbtmYbC\nu7HkRZbnfTB3AU+KyOkicpiIHBr/c9TqfoZytGVAedKtb4NRBCKZ/ib58iJb1/FzVu+7maHw3gw6\n9GBvH0wuRv7U5/VHkugz9WaMMhTOtFnYGx/GRn699vR/gy6DseJFlqZGcmqDMQt2aSRt6TM36wy3\nbeC1xO98xCJLrUvPvd4KrXmSYDT8D3A2MVXZZuBT7W+zo1Y9eDCFXS8ypVsm3+fP9wbTh38eJBgb\nuvyMTZopqhHzSWpt+x2EIn2W27JOlPl7iaZN2k73aTgzhGerN43BGJ6boid1WX9v/aFtWchw0wZj\nPVx/MpxE1QaLDEYp5TP4c3Zg9X4Gcx27tw/GLsxWrIbnweip+kvEqJ19H0w06bfzfTCZsbfsrTrT\npUB7MdSchVHJlDKd7dNwywZjrmozekan4VcyoW+Dcc+LTI9ZWSF1Y+c9afHerMEWaxSRqSJygohM\ntd3SAQvPBmMf9nfy664YHXq+WG/YuTrLpFKTq2wlI2nXyaWzf+pGUaKttm493djI71wacH8hl6ki\nM5BgdJt287vPUYJRuUswAN3+dbbbtkS5iDSJyJvAduBPwHYReVNEpttucT9EOdoyoJTpNh7wxrHI\nCq8is/ph5hKLzJaRP0MasK4ig8w9Evb2wTjpa8lcBOjO1sWxwaTDOIKDe2GD3nzzTRsUWUXyPhin\nO/mdwSprfBT4ABillJoIjAbeJxYuxoMHV+EkGKL+RrD8SjAZdDqUaMzzOd0HY804ngyr583rN+6M\nwVh7R4WTYFIZcWqdn3Y/rMtk9Jm3/bHnD+9jc/eD7BlIYzJpTMHuezXaBzN8v/gMZj7wfaXUAIBS\nqh+4Djg+X4SVE0rVlpENpUv38IBfvfe/6PSvSVzr0TwU3qvvMZZvFVl6cwYfavZ+Vga/7e6DMZZ+\nrGzWS5dg7I0PO15kWns6DEZXRWYzFhkY22D6g9sIRUyOXBBjBgOxOGeZcGfS3tn/J445YTTb+55N\nJSkjqrPVjb7DJYzqit3N33dilcGsABakpZ0AvOMuOR48pO2TIMSn3Q+b5t839A5ben6rU4+xkT8Q\n6aI/uM0piYkWzK/t15POJOysVjNtMPYmjlyMycZUmtHvc83In20qW9t+J7sHXmN95y/4cN9NJjnt\n94EbaqdI1K/7rnuDW9gzmCrR2A3Zn2KDcRgqxikM34qI3CIi/yUitwBbgBdF5AkRuVNElgIvEnNV\nPuBRurYMc5Qu3XZtMKCnkjCbYNfs+y/Wd/4CfziXiEfWGExu+0mcM5jUsvYnTjf2wZghJsG446ac\nzQYTiLSzo++FrPWmxCKz2GW6UoHNSXtD5/+giGbQvbHzfxgItaSk2T8TxlyCyacNxkzpenBay3G5\nbSLgB54DGvNElwcPOcPK7nJ/eB+1lROc1e/Sh5kqseXAYJSxBOPWTneT1m2mAyKZEoxOTDEr/eze\n85mryLKXicPe2BgM7yIWlSs77J5zk82bMJ82GMMnUkpdYXRPROYClwF/lweayg6la8swR6nSbcYY\ncjnfXhc5nddjzV6iT3NSuymxuZyfaJkhweSo+rATi8zpJKUXM00vV3ZYs8HkA24ZzgdC2y3RbZfB\nBCLtWXIU38iPiEwQkX8WkQ+BD4nZYK7JG2UePOSM/Mawyq4GceJFlosEk86ckq/zveHXoZE/wwbj\nTqgYd2BVR5a7BGMHTpiXWR8WzcgvItUi8nUR+SOwC7gCeBroAS5SSv3eakMicrCIvCYi60TkYxG5\nRksfKyKviMgmEVkmIqOTyvxARDaLyEYROScp/XgRWavd+0VSeo2IPKmlr0jepyMil2ttbBKRy6zS\nbQWla8swR+nS7cQGo1OLJS8yFydeG+fBpBVMqsKtcP2pZZ1MwPb62oBO04lN6dhgnNoI3DoPxpf0\n29rY0Pd8czZpW6G7J7CRj/b9iIHQDsv1mka1KIaRX0MbcCsxL7KjlVLHKqVuAwLYZ9Eh4Fql1NHA\nScB3ReQo4HrgFaXU4cBy7RoRmQ1cDMwGzgPuleFQoPcBVyqlZgGzROQ8Lf1KoENLvwu4Q6trLPCf\nxDzhFgA3JTMyD6UFt1ZUVkLF5LbyzbbvxeonYuKmbMeLLMMGU8goEg5VZBYkGEtG/rzbmMxbz0T+\n+n5n/5/wR/bxabf1bYjmjgHFYzAfAU3AicACERnhtCGlVJtSarX2ux/YAEwFLmB4w+YjQPxgha8A\nS5VSIaXUNmIeayeKyEHACKXUSi3fo0llkut6Blik/T4XWKaU6lZKdQOvEGNarqBUbRnZUI5027LB\nWFhF5qQis8hQcutnO2HwzWww9iU1N/bBmDowq2jmYkJH3WTNyO+SDSbLPhj9tt3zzIrT3T70fta8\nto5IMDma2vz4hNxg+nUppU4nJkG8D9wM7BWR54l5j1U7bVREDgGOA94FJiml4ruX9gCTtN9TgJ1J\nxXYSY0jp6bu0dLT/OzTaw0CPiIwzqctDScKtFVXhzhGJwR1Dt9V7GXlNJBg3Q77rtu3o2TND/Dg2\n8rtkgzHbyW9YRi+AZI5juLX/lazSqx3p21yaH25ne99zluu0gqx+cZr08F/Af4nIQuByYl/uGhF5\nUCn1b3YaFJFGYtLF/1VK9SUfgKOUUiJSSLk+gaeffpoHHniApqYmAEaNGsWcOXMSq7i4PlrvOllX\nnX5/5BGx9DUr2wiObbZUX6Gu165dy5IlS0qGnsS1GtZFx1d06X384vKH2DXQlrifnn/NyjZ21Kyn\n6dwLdduL5599ns8SfXr1t9Z9zNSzz07kb+3fzCHHkpJ/wQWZtMfu70YRyaD/iHNJaf+4Ew9J3PeP\neYtTv3CGIb1d/o+ZdMxw+x2NH/DFM48G4MN3WwhGe0z7a2D0Cs449bxEfWvXruWMi0U3/wcrPqUv\nNNz/b7+1gs96Mt/HsV9KfZ7U/hTmJz0fwIKTx2e0p1CG76d6Zqz+D1dsYyA83P6zj6znsKPGGj5v\nc3Mzm7paOeaEsSn3v7Dw8MT1qOrNnHZqKn1Hf3H4eTZ0xtuTDPree2c9HX7z8al3HU9bvXIn3SPf\noHYWhvmrfUPM+xuz/k193uqK0RwyL7M+hUq6buaQkV+jubmZodAeRh01nH9MzScccm6srscef5Au\n/1omTW3kuEPnsGhRXFmUCnFybrmI1BFTS12mlPqijXJVwP8D/qyU+m8tbSNwulKqTVN/vaaUOlJE\nrgdQSt2u5XsJuIlYwM3XlFJHaemXAKcqpZZoeX6olFqhHfW8Wyk1QUQWa21cpZW5H3hVKfVknLbl\ny5er+fPn2+4LiHW4kTrho30/Thz8tGDyXY7qzxfM6C4muvzr2Nz9QEpavO/iNK9suzZrPRPrF3LI\nyK/p3ouXP3rcv9BQdbBpPUZtTW38IlMbE74nfNr9CJ3+1Rl06/Xze23/Rjzkh49qosRcT48YcxWj\nao5I5BsI7WBdx88BOH7SHVSIseJgz8CbKWFGZo7+NmNr5wKZ41DvmY6dcBPVFcOmyebmZsbP/pje\n4CcZz7S560G6AmsT14Oh3YkjhEdUz6Qv+KlW5w+prhiVUn64baFC6oiowcS92ooJ+NNOiDxy7HcZ\nGeckaYjXNbL6iBQ616xsM1WTLZh8F+/vuZ5o2inwyfWMrz2BhurpbO99OnH/6HHfo6FqWkrbUxrO\nZtqI81Pqael9gbbB1wzbN0Kc7vrKaRw19rt8sPcHpvnH1X6OQ0d9E0UYn1Ql0tPf7zHjvk991UHs\n7HuJ1oGXU+41VDWlbOasr5zGuLr5jKg6lPWd/51In1j3eQ4Z9XUA1nX8NwOh7QBUtl7KokWLdMU9\nR3KlUmpIKbXUJnMR4DfA+jhz0fACMakI7f8fktIXa55sM4BZwEqlVBvQKyInanVeCjyvU9fXiTkN\nACwDzhGR0SIyhtjhaam9nANKcZK2gtKl23jRY88GY+U8GPf2wRgh2z4YUxWZrVAxxjYhJ84M+R8f\nes+m8z4sxSJz6zwY4yOTjeG+DUbER9RCzLEO//u8t+dfeH/P9/GHOwzzmcUvS7e7DIZ36kQ9SEU6\nYzZCIV0vPg98CzhDRD7U/s4DbgfOFpFNwJnaNUqp9cBTwHrgz8DVavhruxp4AO10TaXUS1r6b4Bx\nIrIZ+Gc0jzSlVCdwC/AesBK4WTP2FwBF0fiVOdzqs1g9SkXp8n9MODqQkSO3fTDOXYqtw7nR1W2D\nrTnstGXmCuzwPBgnG2Z1GVf6KZbZJ/moCrg+FoQK20d+b+5+gHB0kIHQzox7UdPnsE+rz0SSTsln\nu2aHUEo1a6dgHquUOk77e0kp1amUOkspdbhS6pzkiV8p9SOl1Eyl1JFKqZeT0j9QSs3R7l2TlB5Q\nSl2klJqllDpJsx/F7z2kpc9SSrl6zEDp7icxR6nSbTah2NubEftA9wy+webu37Ch856MPLm4KWce\nUayfLzvN+WIEhYtFZvzOzON9pTMGcXoeTNpU5vg8mDQvsl39LxlmjaNt8HXWtt+RkubUyB+nW/Bl\nYQqZGAq38XH7T1jX8bOMe2Zuyka0ftbzuGEZH1WG91LzefBQcnArxlds4u4KxE7iGwrvjqXn6L6b\nqN/kgC+3kIs3UmFjkdlBUkBJSxKM+96AShmcgppSpxBRfkv1xe1bSS3YoiejbfFZ2seVjmBUXzFj\npiILhPVDyaTbwpJRchLM/ozStWWYo3TpdskGo01M5owgFxuMNbVINprN3ZRzkW5yj0VmBbsHXqNj\naJUBBXoSjPG043RPSbrkk80GE+vXzL51ixE7XRjE6e4Nbra1kTIbzKShuIOJFQyGdqFUlAqfNQaT\nwxF2HjyUOjQGk+M5KUZwL4bT8GTUE9iY4kWWC5NQrjHSVKR7ypkbhHXoT4mYnF2CsQa75aIWmEAO\nfeZC+JWhcGvOdcShVJjtvc9mnC1jB3uH3mLv0FtMqDsZn8VtkJ4E4wJK1ZaRDaVKt5lx2kl8LLMw\n9rkgM7hk7rHI2gZfT11t5jJRpRw05V4sslxX1mabPp2faGnPBhMbE1nsQzkdwJabDcZtRFQwJ+aS\njH1D73gqMg8e4owkQz3gkndVJqNyxwaTHI49NxtM8aHPHJJtMGlTkOPIxPaYQUyqzUZb/l3YC4Vg\nxF2n2eQ9N6b5XG31AEXp2jLMUap0Z06qw8PUkQ0mbyoya8El7fZzqmtsLhNVbuH68zU+zO0c7niR\nZbXBGLoAu6VKzM0G4zbSN1fmCo/BeChjWIlPZaEWbRLJl7dXRr0uhT2PJLmU5sIMU2ORFetTN7DB\nGMDo8C5/eJ95RGCbKkCjfk31Us5FRVbIPUiFR+vAK5byeQzGBZSqLSMbSpfu9Elp+EO3R3NcgklV\nkbm1AdHqJGK3nxV2z1w3qii353RnfJjbOaz04UBoOx+1/4h1HcahltqH3k25zmbLiNrcxGgHkajf\n8WIjXzaYYsHzIvOQgWCkm9X7bmZ0zdEcPubvC95+pqrJqQSjb4Nx75wUsxMkc6g1ZaXulhdZ8eEP\nd6TEOoPMd6MnwXQHNgDD+5jcgNm+EMd1KsW+oXfY1mv5HMb9Hp4E4wJK1ZaRDUZ0tw28AUC3tkGx\n4Ehb/SV7QFnp65qKWERe430w+fEiM4IezWZqv2QG4yQYbVJNSe0VNxZZT+ATPmq/lU1dv05hfNZC\nsdiX6LLbYNxnMJ3+1Yb7gawiXzaYYsGTYDzooNgr31zjOMUnU81NuWD7YHIJTDmM/UmCidPQPvQe\nAL3BTSn3Mzb56dg9AhH9nea50eW+jWRLz6Ou11nu8CQYF1C6tgxzWKG7O7CBnsAnWfO5iUwFmT0b\nTFzi0fMi29n3kqXTAq3AqvOA3fHhGoNJlrAcGKzdHNdWVVJuOSNY2wejT4EZ4mMxN8nSGCVtg4lG\nITiIDHQg3Tvx7d1Mxa6PTIt4EowHU2zq+jVQ6LNsjN2UrUFjMDqTiJvumhnBLm0wA0EMc6eoyHKS\nQvJ3omV3YL0tGiKW1Vz5PXkzDiuh8PUgUqH9Kr506AoUEAnGGEd4CAkOQWgI0f5Sf+uH6I+aHKfk\nMRgXsL/ZYIoPYzdlKzTHV8H5dhW16qZst5+j5ENF5mwfzMbOjw3qtuqFFY+m4I4Eo5QyiLicCuf7\nYLJBk2DyNLZctcFEQjHGERpCgoMQGkSCgxoTGURC2u+oxb4QoLIWVVWHqqqDqjpUdZ3pyPIYTJ5R\nCnrwckN6n9kNc5JQkeX5PJR8TTLbep5mZPVMairGkttKOT+xyJzAiaFetx5CVFiMg2UGJ5GKY8gv\ng7GESDgmWQRjTCKViSSlRyxKaRWVqKp6VHUdVNahqmuhqj6VkVTVQWUN+DK/xUqTkGkeg3EBpXr0\ncDaUD92pNphsNAtxNUZhGYzRpGO3nxUhPun8FXMn3JATk0wu60RFFjsy2XHzGg0xJmeZwWSRTqLR\nABUV1Sl16yHbkck57+TPhw1GwZoVLRw7bwQEB5DAgCZxDAxLH6EhCFuMfuyrQFXHGAXV9cNMpKpe\nS6+H6jqosLYr3wk8BuOh9JA2qdo1/CYMsfmWHvMoIZmdxWEdpSPBWN53kmXijqhg0lFXuagPnUow\ncccRm+9eAZFAjFkEB1OZRzD+e5CqTWGqsg13n0+TLGIMQ2kMI/ma6nqoqC72a/cYjBswW526bVx1\nE+UhvQA2bTCIkZHfh5tSjdVJJpd+duvAMSdeZGY2GDtUgIsqspRAoMb9n82W0R3Y6Kj9wdBuOv0f\nMaHuxOFEzVAuwX5T5kE0O5M99uiqmHRR3RCTOqobtL86qG7QVFW1RWccVuExmDwjdVOZNQPlgY6M\nSdWlPvNJFVGl7wnjBJmr4HxITO4cOFa8hU7+GEwu/Z0eWsYUSmm2jQG2dtwMgQFUTwOVvs+QYD8S\n6Ldm76gwYh7DaVSm2pdGVM+kL/ipzacrHXgMxgWY69hV2u/SYTCla4Mx9iLLhWbXGUzGOTPG+2Cc\n0uyWm7KTceeGDSYOu+fLGyGivb+oCpnap7LZYFIQjWqSxgCVe1ZSEVqHBAeo3fsuVXW7YpJINLUt\n/yD46pMSKioTDIOaBk1tNcxA9JhHznSXATwGYwM7+v5IODrIjFEXWy6TIsGgSoi9lDLciUWWDp/L\nwz198s9H+JFcjMm5GvndhHUJxvx5oypI+9AHfNbzW5pG/K3FxjUGEujT/vo1NVbsP6HBRLM17aBF\nGqJiL8gkrY6qGlR1I6qmAVXdiL9qIuFaQdXE0qioKaW1Y8nAYzA20DbwBoowTSO+QoWvNpFuujpN\nWWUVzmXZijquNKUXHTdluzYYA4joD/fuwAYGQzs5qOEsWyrMQKSdvuBWRlTPAPQnUaWULs3WJZPc\nJJiVbdcCMLrmGNul3bHBxCmxxmCy9UtUBdna8yQALX3PxQtB2B9jHv5+JNDH8eP7YMOaGDMJ9pt3\noxBTWdU0Eq47mMiYIKq6Af8RCwjWbIfqRqhIHTsh3wii0T5Lz2QH+5P0Ah6DsQyloglPmKgKUkFt\nlluKUAAAACAASURBVBJauQwVWf6hVJR1HT+npmIss8Z8pyBtuovcJBgjF1Qjb7R4tILG6kMZWX2Y\nrbY2dN6diHJgzzPJ2ljIjb0ML2784b2Wy/UFt7Kh824m1Z+aQ+suIxKGQD/S9SbV/k8IB9s1SaQv\nuw1EYyDR2hFQ04iqGZEijVBdn9jfkRyvOVI/BwZ79MlRFl2FD3B4DMYiko2LERUi2XPcqg1GqWhB\nxOhApIvB8C4Gw7tM8+ViG4iqCL5E2Ax3kb6/IXmjpRWajQ+TMh/ukehQVlrMoK8GUjQ3v6VDs9V6\nU59lW8/ThKL9zBx9eVZpy+lO/l39fwZg2etP8YWFp1kulzPCQXyDO/ENbkUCvYi/F/H3ad5ZsXdT\ns+15ag+CoZq0spXVmroqxkBWb4gy98SpqNoRUN0APnfHqpu2vGR4NpgDFMmTR9TW6qXwEowvaSJV\nKmp7J3w2bO15in1D73DshJsyzvdwB/mRYHxZGIx+P+XGYIyYnVPj/d6htwAIRXuprhgVq0uprGPS\njuovr/uHwoEY0/BrDCTQl2AkhAPU9sDgKJ1yPh+qupHAwYfAhArCjT6obkTVjkDVjMgwoEfb2lCj\n95+JulzhMZg0+MP76AtuYXzdiSkfZXJ8qPSJxGxFnWxoLVzYmOF2IipApdTp5nIqvewbekf7v5Kp\njec4qsMc6TYYe+fBGKmqhnf468PouF4z1FZMSvzWZ2z6NhjrKjL9fMljcHvvM+wdeotxtcenljXw\nsrIqlTlaSSti+z769yH+PmrW30P93naqJryO+HvNd6FXVBIZOZ7o2GpU7UhUzchhBlJdDyIMNX6R\naOAToqHP3Ke9BJAPuo8c+102dt7jer1W4DGYNOzo+yNdgbXUVk5KGG8hVWrJOMPCBMWwwSQfBxsT\n5fUZTK7I1znv/rTzPwbDu9g3tJIJdQsslU+e6JMn02z06jMg83cWd/ZQSqUFqYy3b6QWtTgWDJhE\nMoOJSzUd/g8M21BuO5tEI+DvxTfUo0kgPQmpxB8e3m1f+9Gb1AyCnKQlVFQOM47aOAOJ/aeqHn/N\nTMJZ9n34fNbsnx5iyP07FeJjRqiwZWv0GEwaQtF+ACIqVR+fqiJLnUjM7QLJEkxhAuQlD4CI8hvm\ny3UfjNuqtzjah1ZmpG3tWcqIqsN4f8UGWzYYW7vZHajI4sws1ud6eVVGP9ux6xhJMFZCryQ/u5Mj\nANa828apJxyE9LchQz0aE+lBhnrNPbMqKhMSiP/ks5Ex8wiN/FNMEqmqM9V4WtlUWCH7736SUqS7\nrnJy4rjqmopx1FSMoye4wVJZj8GkIf4hpqsXzBiMGVI+5jwdUpSJYdoj0fx5u+RLgjFCMNplKV+q\nBGN9b4pPR4LJFmwyzsyN2tGfzO2MAyMVmZXnGi5regRANIz4+6hc/ydq97ZSzYtUqZ1Ubeqirudl\nhvRsIiLDUkjdKE0aif1PZiKBcddQUTUV1faeBXqtoUI8CaaYEBvOPR6DSUOCwaSJgSkqsjSDqvk+\nmGK4KRtLMOHoIEIFFb6anPfBZLNpuI1wdNC2DcaOOK//4ei/s7iqIN7XxosOIxuMVWS3wRgXTWIw\nKgThIOLvoXrnE1RE30eGumOSiSaNNKx6gdogVM4GGQnHHg5qsA41ohFVO4po7UioG0W0dhTUjNAN\n3Z6OrsA6qnwjsuarlAbCaiD7M2GNwbghBTg/M8Y5Sk160YOd795jMGmIqx4yJZiw7u/s9Snd3/lE\ncjvJ7pRRFWFt++1U+hqZM/77uTeUJxWZESLRQUv5nEow9oz8PiCCIkp3YL3hmNBTi1pVlUaifvYO\nvm1Qr8lzhYPIUDcVu5upCH4U+z3YjQrF+q9+5YtUJJuzRFB1IwgdvgDGziY4pYVQfQBVO5KhhnmE\ngs6PzN7V/2f2DmY/etmqViAQbqe6YqxjeuzAecTl0sOUhnNoHVjmSl12VOMFmyFE5EER2SMia5PS\nxorIKyKySUSWicjopHs/EJHNIrJRRM5JSj9eRNZq936RlF4jIk9q6StEZHrSvcu1NjaJyGVmdA5L\nMOkMxliCMT+7vDgbLeNIlmCiyk8o2sdQuA2lVM5nrhdcglFDNDc3Z7VhpEow2Sbz5Lqs22DiH1kg\n0s6mrv/l0+6HDKrX6+fs46Chajrben+fGrY/RSIJI4NdVG59B9+eT6jY/i6VG5dR/eHvqf5gKVXr\n/0z1qt9R0bYeX09rjLn4fKj6MQTnXkhk2nGEZ51BcO6FBD/3LUJz/5bBxb9m6Is/JHzw8agRE1nz\nYXdWOq0gZGHHu1XHmXb/e3QFzM+BB3fOts9L6J8scIPudCgUUxvPc60+OyGXCinBPAT8Eng0Ke16\n4BWl1J0icp12fb2IzAYuBmYDU4G/iMgsFZtZ7gOuVEqtFJEXReQ8pdRLwJVAh1JqlohcDNwBLBaR\nscB/AnEfzg9E5AWllO7XE2cedlRk5iiGBJOkIoumSjCJHCpzU6Fd5MvIb4TYRsgqshve9Y3bwUim\nDSclXpeuE4CRiszqvhJn71zw0RVYF7uIhJGhblbv/ToVQx3IYDf1G15g9I7Y81SelFbYV4GqG0Wo\nfgaRcQpVN5ponabWEmFg4o+J7P2BI7pKAXGDc75RahJMtW80wah9pu+2qq8kbTBKqTdF5JC05AuA\n+FbhR4DXiTGZrwBLlVIhYJuIfAqcKCLbgRFKqbib0aPAhcBLWl03aenPAP+j/T4XWBZnKCLyCnAe\n8Ds9OuOqDjtGftN9MBQ+FpmRF1myWsWqPcMMhTbyh9UQCxeen1VFGX/+KKGUvghEOgzzpiOqQvSH\ntlNbMdGgFWvPrnRsMIaOA0qBvw/fUBcVvVupCG6nYqgTCfRlDh0/qOoGIhMOJzq+l2jdaEgwkkYQ\nIVg7j4h/jS5NVlAO9gAjpNPeNOJCWvr+YKuOfB+5rQezPp8xajGfdP3Kdp1uM8pyssFMUkrt0X7v\nAeK71qYAK5Ly7SQmyYS033Hs0tLR/u8AUEqFRaRHRMZpde3UqSsDyfHG0kN0RBxIMDGBS6Vd5x+p\nKrJAUvrwQAtbtGfE8VnPUqY0nENt5bhEWqEZzLANxpqKLBztZ2ffi1lq1a9rS/fjdAXWMLFenwmL\n+CyuFwy8yEJ+ZLALGezEN9Qd+z3UHdtfAlQOgDQkGkPVj0LVjSFaPwZVP4a+k75J7YSvgM9HWAto\nCVBbMSGhVjMeb4ULuloKGFMzh8kNp9lmMNESk2CcbnNwm1Ha0VwUm8EkoJRSIlLUkR9NWuFnnvWR\nbOS3sw8mtYVCIHnFkmrkT5Jg1ICtfTDtQysZDO3imPH/mkizIyq7gXA0ZoM5+ZQTLJfpCqw1vW+k\nPugKxFb+7UP67rVWmauKBHnrT7/ljGlVVOxeS0XbOtTedVTPbtcvUF1PtH4MoYkHEx5RRbR+DNSO\nyvDYijSOMfDiSlbd5cZg1qxs4wsLj7CUt9SQup/E2UKoGF5kZvtgqn0jHdV5IEswe0RkslKqTUQO\nAuIhX3cBByflm0ZM8til/U5Pj5dpAlolFtVwlFKqQ0R2AacnlTkYeDWdkKeffpr//d9fUTluc6zi\nCT4+f7wkJuB3315Dhz/28qOEEobb+H29a6Wi1MyK1b9mZRt9o1aw6LQvG+Z37VqphLFw0WmBxH1/\neB8jj4zR83bzO2zfFDCsL14+PtjXrGzDJx0c8+Xh5+loXMMXz5yXUd4f3sfKdz7GJ1WOn0ev/bpK\nxSEjZwNK976T6yPPiySu+0atZNFpF6TcP25Bk375d1sJqf7U+qJhjj26Ghns5KMVOxF/H6f2LqXx\n0yBxNnX6FAhVwOpNPlTNCOadMIlo/RhWr4+iakcw77jYsF/5QZDAvk7mLRgDwPr3+lPaW/H2GsbX\nVWb010mnDNPTWFXHYceRct+sPwZGr+CMU89LXG/Z0MkXFlovX0rXWzZ0Jq5FYuNrQ2ebzfr2MG/B\npILSH0f8euHCmYnrvlEfMOu402kbfN1W/UpFaG5uZmOX3efPvD7x5Im8v2Izv1sa+14nTW3kuEPn\nsGjRIvQghVLbAGg2mD8qpeZo13cSM8zfISLXA6OVUnEj/xPAAjQjPzBTk3LeBa4BVgJ/Au5WSr0k\nIlcDc5RSS0RkMXChUipu5H8fmE9sefcBMD/dyL98+XJ1zLxDWb3vZgAOHvFlDmo4M3F/e++z7Bl8\nE4Cxtccyc/TlWZ83qsK8v+ffEtdzxl9HXWX+9dpd/o/Z3P0bAMbUzGPWmCsA6A9uZ33nfwMwfcTX\nmNSgL7209D5P2+DrGekVUs/xk25LnDEya/TfM6b26JQ8A6GdrOv4GTUV45k34d8d0b8ySeWTjNqK\nCcydcAPh6CCr9jqrOx1HjFnCJ133AanvJ06Dj2pdD6eacC3B/i34BjuRgU5ksBMJ9GYIByd9CNUN\nM4hMOYbIQXOIHHQMgUkzeD/wK9Md7VW+ESneVzUV4wkkhdCZ0nAu00acl0IrQF3lQQkj+Kia2fQE\n1mfU3TTib4fPUklCPHjphs57EjvqR1YfQW8ObsqlgPj3ajSuShnJRybPGf8D9g42J+ahqY3nsav/\npax1HDrq7xhXezzv7fkXRzQkj6kq30gm1J1M68DLifuVrZeyaNEi3dFcMAlGRJYSM+iPF5EdxDy7\nbgeeEpErgW3ARQBKqfUi8hSwHggDV6thTng18DCxAFsvah5kAL8BHhORzUAHsFirq1NEboHEIvJm\nYw+ypHAaruzkTz/xsLhG/mQVYFjZs8EA+KSCTv+wi6ieLrY7EAshEYgYqIByQFjzfHM35E62nfrR\nmOF9oAMZ7IjZTAY6qevzo9L3+/l8qLrRqIaxROvHourH0n3WrdQ2HJraYnRgWFY3QLprb3okaEsH\neBno3vWYC0B3YD1ja4/LXm8BUFsxEX/E+hk2Zii0rTBfECTFQWNywxl0B9bjD7czpnYO7UPv6pZz\nU9UXivaWrBfZJQa3zjLI/yPgRzrpHwBzdNIDaAxK595DxNykTZFsvDffB2PNBpNpXCv8Tv6UZ0ox\n8tuzwUBs0kve76G7MTGPeweUivLGm29w8inuTYIp70gpfF0tVOz8kAr/B8hAB5V9HUR1wu2oyipo\nHEukcQyqfhyqfiyqbnSGXUTVNOrEIjNmakbBBCXtU7WyyLGre9/W+3vah95PTCDFtME0VB2cE4NJ\ntWWUz1nG5rHIfIyumc3ewWbqK6dRIdUcPS4mle3sM5Zk3LDBJLtI22HYxbbBlBSiKTvA0/fB5C7B\nWGUwfcHP2DP4BtNHfJWqCuuGvcFQKxW+2hTmaOSmrHe4ll3oDTQ7cdrsIqIG+aTrPuaGb8y9MgUE\nB6jY8joVg6uQgQ5GvPc8IzpjH1HFSUn5qmuJNoyLMRJNOpH6QwhFey1IEsPvIhwdpMP/ISOrZxnm\nNmIwPqlKud4z+CaDoVamj/ya8SM6WLn2h7bSUHlw9ow5IltU3qmNXwQUHf5VLrS1n0gw4mN0zVEc\nM+7fqK2ckHLPrC/dkGCqK4YZjJ2DBj0Gk4RkXXumBGN84JiRFJBeh9X9Bxs6f5n4PXP0FZbKhKOD\nfNzxEwBmjBoWFiPRJAaTtHIOq9z3wehFJ7YS5TcXzFswmV0mqzVDBAdjaq6BdmSgA99AB4T81G16\nmorDY1l8QxBtGEdk6rFEpuxDNYxDNU5EVdVmLoItLoqVGt4H81nPE3QH1tFYdYhhfpFK0HGD15sk\n+0Jb2ND5PxnpibYdSswD4R1AbvtgxtedaKiyAWioaqI/tNXwfnXFSA4bfSkd/3975x0vV13m//dz\nps/cfm9u6k1CSCEFAklIgITeq65YaIKirCv+FBtYcBFFVwTr7rrr72fZRXQRC7qioiI9INJMQEro\nSSCkJ/fm9inP74/vOTNn6p1J7szcG87n9ZrXnH6eOfM9z/N9+ua9EzBZtNvjtJJ6Z9VEqWdT6pk7\nYyAamJK3r5QQGRUNxteMM5caT1FkYwrZPpjRyOTfOw3GwVCy/Kzd4WSmd3jRPJicRMtqoJI6bXt9\nj5FemMSwESK925C+7Vh929Mtd7PgDzI8fRHJKXE01k7Pys8x3H4YiJBMO4Qtivtpyvk/M8fstjPz\ne+OvFj3aEj/JApfN1WAcJEv40qqRib6w/RNYEuCp7deXPK4YvWAmQAPxzSUFTKnzK4cRMHNaL2U4\nuZuXum8exWtXDt1LLb9U9YhSnWVHo4JI0GpNLwd8IxcvdbB/6I6jhGzzTvlO/mI1vXL/2Eqd/Hvr\nz8jNg3Hum5UHY/tgRhvuZ7NrsHQOihv98dd5bc8fRjSxmXBJ13+TShnH+9Z1+F9+kMCTvyb4xC0E\nnvsTvtf+hrVrIwwPIL4AqaZJJCcvIjH7WIYXn8vwkvPpP+crJLuWkGqbgbZMGblnjA3z35YnYCp5\nzlKkrXOx7aXg1l73BoXqYlkSLNohNeu4ErPcttDifaLLQamITDftzsy/MTiL9siS9PZYYAbLJt44\nKrRUAktCRfeVrkVWfGx2Ro9icuyELO14cuwEIv5JTIjk1hIyEaCVIBrIZIe0hg6hM7KyrPM8DcaF\nLCGSW4usQMtkVWUoub244MjbXln0U2XagKvJVlZzqSRKAiGQJbBGoxZZIbh9Ei/s/iHLJ32zrPP+\nvuNrQBkz1/gAsvVZfL0vGe2kdwekcp6TZRlfSawDbZhAqqEDX7iTJPkMd+Qs5+L/rXsCMbXhdF7v\nvSOvXlSls8dijLln+IWKrgOMWhTW3kBK/I+WBCpO0m0PL6N76NksE1draDGqymByS97x7hl3Mcbs\nlwiW+LPCcGuBaQ2nE0/10BZezMvd/1P2eaUy6C3x09V4dlZqxOTYiXQ1msQ1N486bMIXKvLtgtIe\nXsJAYjNNwQMRsZjZ/HaGU93sHvp7yTM9AeNCluqaIxwKaTC7htby4u6bmL3knMLXy9VgKmQ2lZg4\nUlk9YLJNeMnUIJYvkOUTSqT6WbmyvFnISNg1+DSQojV8cBYde4Oh5M7MSiqB9O5Aerdh9W3D6t3O\n4f5+An+HhGsSqOEGNGYEiTZMQKNtYGUzMJ8VLjijr6zacvF9U2InMyGynG0Df83JTaisH0wxTcVd\nkaFWKOQPKLfIZ6mJgoiVZ9LpajyHjXt+U+J6/qwwewfF3pGVq1awc3CNuV8Rmp1211YZHTJHEwFf\nI3Nb30882ZO3r7TfqzKDUzFfSWXCBYYSOxERuhrPrOg88ARMFtwaQ8lqygyjqvQObwCgd/gViB1f\n4Ir75oOpxETm1rByGWlSTY/03N+X0qF97g6oqryw+/sAHD7x61mCuOJy/sMDBHasxdf7KFbvVqR/\nJ6RyBIA/QDI2mWRzS1o7ITDybyjGRPY+pybbRCYiBH0tedpspWbRSkqh1wNKqqSJx8FI/33I15q1\nPjl2PFH/VNbt+k9Cvva84wVfkfch//n6JMK0hrPSAibX7Bnzd9GX2JjO+RlJa+6ILC/YxrvWqDQa\nzq3xiAgzGs8t2wQMmdDkclspFMLYHs01hptJ5zr5c7UCJZE2hTz04CPMOevSAlccWYPZ1HsnA4nN\nzGq+KK9cfKEZWzG4ta9kzmw3ZYcq5wrN+1ffzfHHnFH2PQreN+eabiYg4mc4uZvXe+9kcuy47NDK\nVApr63P41/8V//pHCDT/DhnsJboJfE6QjIBGW21BYj5rn+xn2eHzSKbyZ3+l4LPCFJrsVr/eVKqi\nfKO98bXkXWOEEOBysfaRzRx+RLYgSKT6ifgnMqPxXNbv+WXRc0di2qECTcOagnNY0PYxwv6OvH0i\nhX9Tof9vSeeXefDBB2maZwp/toTmZ+0/qO1yBhJbiAWm27QW12AsghzQdB4Bq4E3+vIqTI06SuXB\nVNoeI1fIF6vcUQgR/2RCvjaGh/atJ5AnYFzIiiLLDTG2GaclIVI6REqHGbajvIZTPaQ0nvdS5c+O\n82e3r/Waar+TYycRDUwueM/yaHcX48zVYIYKXs/dK6YcFGJcudd0C0ULPy/s/m/64uvp6X+KpX0n\nMrzxLrp3PcCMp17GN5jJVpcjAJ+f1MR5JKf6SDV0og0TwJ/z8svAXgmF4hpMdQXMa71/ABaVfXyx\nWWolQqOr8Sw27Pnfsu9ZCsOp7B46YZ9h/i3hBSMImNKsJdtHYiAiNASnV3S9gkmp9kRtYfvHGUhs\nJRbIzuvxWWEagjMy6yWEoc8KISIE9rLQ5Oii0oTRkY7Pj5Bc1P5J/FYDfivG5r570pGPewtPwLiQ\nynGOZ7Yn7XULv0QY1iFSGk8LmMXLJzKY2Eo0kN0F4MXdN2Wt5zqU465ZeCEbeyX+jKwkylwfjC1w\ncq93+JHZdcRGgiUBkiUSULPW44P492xnuOdeAr2b0f5dNP7l37nnCMAHsRh0hKeRnL6cxIwVxCeu\nRiMtDDWdRbK3eIn9xcsn7ZVZy1fErFOpsGoNHUxffCOzWy7hmZ1OQ9XiFYx7htdx+JEFC0wUhIhV\nUJj4JFxBDsfoBIfmzqQPnXBtOkS1kIBwYyRNzGeNbGbLul4RVlUsSMPRGIsJLDcsSmgw9ripVbJm\nOXkwpeB+Nwo30MtgRtPbWN/zi/T60olfxeeaiE2MHcue+Ku0hsqfIOXCEzAuZEVfuWznznZLAmkt\nJamDDKcyuScDiS15AqYvviH3Dllrg4lMlE881ZtPTwUmMjejz83SdzSVXKZVLIeiEC3gJAFm1ocS\n2zMzu+F+fE/+DP+e3xPofxUZ6CY0BAOh9Mk8eEwnybY2tKGT3Ue+h2DnW9PX0s2mKONIM1/zOyoX\nMMU1mMp8JC2hBcxpzTWHFn6RW0OL2TW0lu6hdXRGjyzzDpb9yf6v/FaURLI8AVN+t83KEPQ1Z+4x\nAvMabV9Ssaiz0dBAS5rI7H0jRb3Nbb2M7qF1bOm/f5/pKY6R/9dKnvvE6Eraw4elC8fmmtR8EmRe\n62WVkZhHj4c0ijn5HQe/T4LpATeY2IGjXq59ZDMDiexQyUIhxrmM0d1vPZupW+kz9ob2XB9MMRPZ\ng6sfJhcpTbJj8LGC90gPQAUGe1n/0pd57pGzCay9jeDffs66Zy9naMdaZKDbtO1t7iI5dTHxg05h\neOn59B52OskZK0i1H0Ai2ui6p8tvM8JLtPaRzXtlIqtEg6nUMS9FNJjmkOmNcPd9v6vgWlZBW7vP\nGjn3JHOR0Xmt96U/fCWJkmHfxKL7JkSOsr+XF9zv1mAmRI5M53dUkntUilZfAQ2mI7IivTy14TRa\nQ4fQHJzPjKZ/4LDO68q+b6FRlvfMR2zpnQ0Ri6Wd17Ns4g1l0eC3osxtvYw5Le+rqARMufA0GBeK\nFbtM2tqBuDSY3ByDXAFTuNZXcQ0m4RIwFv6KIzeyw6iH7OuYUvPdQ8/QGT0iLTSFAEo8TxBBttku\ni+zBbpJ71uHfsxWrZzMM52g/Pj97JnWiTZNINU5EY+34gzNIJl7Lvx7Z2lN2U7SRhcfezFor8cFU\nfv3Mi+/WiBps2/9Qckf5QkukoJD1lZHcmKGmNsUdF7Rd4TIT5tBQAbMq5bw+oPkdzGh6W1Hm57Mi\npFLDxhnfXL4p0o1KNZiW0EHpUi9TG07NOj5gNZR9X/fvzm3H4GBvumpWan5sCS2o+B7lwhMwLhSL\nInMEj4VLwNjCIeTrYPFy8hK1EoUSGXN4jDvnw12eXcRXaURztonMZtgTY0ezpX81u4aeYiCxNc28\ng74mhpI7WLLigLzrJFK95t5De7B63rA/myGek0PiD5JqnGiESeNEO/ckm1GUMnfFUxlzT7JEFetc\nGBt16YczJXYKm/r+lLWtWDh2YQ2m0goKhRm6E267YFlj2eZOwSooZCsrnVIdH0wuGoIz6Wo8m417\nbi9AQT69XY3n5EV0wcghzaVm1nNb38/6ntuY3vjWrO2V5B7lPtuW0KJ0AmEmnDrzTJuCcxH8BX9L\nMTjC2BTxNAhYDcxpeT8Bq5FoYIqZlC6/Juu8/vimsu8xFuEJGBeKm8jcPhjHRGYETHNwHlsHdjCY\n3E5KE2mmWjipL5sxDiUzEToJF8MtVo+qFLKd/EbABH2tNAYOoHv4OQYT29LHBKxGhpI76ItvYDi5\nm6CvBeneROClBxh8/TcEAvcjQzn2/kA4LVBSTZMg0jJiTH0pR2/SroXWPbQuqzbXvoYNH9j8bmKB\nrjwBU3yWmi/QKgkPh9KJfE7jMLe2WvpaVsEKzeWaLwJWY02L07eGDi4sYPIEosXkgrlie996uyk0\nm1hgGgvaP7JX5zvIHRtt4UPojB7F1v6H6Go8yz4mQ6PfirJ04lfKzvMSfDQEZ7Js4o15ky53wz4r\np8ZXwGqkPbyMzf33VPR7xhI8AeNCVkSUptg99Aw7Bh6nPbIUcASMeWSO/yTs7+DZx/qZvyzCYGJb\nOtTYifhpCs7FJyG7N3y21Bh2CRi3D8YdMdMz9AJNoeLl3QvR7picBB9BewY2nNyZZt4BqxHigzz0\n51/Sf+BPOP6hJL7tpmvengkgB2I0lKZJpJomG4ESbqk4SrKQwzFgNRFP9aR/77pd383aP5J5qnS/\nDGN2KFTPzFdEwBQyQVQs5KR4FFnI18FjD7/ArJPLm4kWs7OXy8xiga5R9cGMpMWEfB15iYiCv6J8\nnr2J0OqMrqIpOLvo/kpyj/wu/9aclvfTElqAiGRpKLnJn+UEozg4uONTZZ/jPPOA1cShE64lpUOe\ngNlfkO2DUZ7f9T0gY86xJJgOaXRMWkFfK0FfGzDAYHJLWsA4GozfiqTt727zT0rjWWGnbh+Me0b3\n3K7/KFnPqy++EZ9ECjJVQdIq/tDgJqytT+LreZTG9XfRF3oN3+vga4RXozA9HENnrGTPQZOIT9iF\nRlsryvothEJmnaCvlXiqh0Sqr6BfYt8TH6VggIVVxC69rf8vedtGsyK0k1DYHy+31lWxZ17efxEL\ndFVQ7XvfISLMaj4/LWD8VgOLOz6Xlz9TyqxZqQbTGDiQmSX64FSKtvBh7Bj4G82hg/JagDuIk/la\nMgAAIABJREFUBbqY1XxByYAEB3NbL2NDz69dk9AJI5yRDxPsIfgkzEFt/6dokEo9Uc676gkYF9zl\nw90zaUeYuKPIHAStVlatOoo3+u7KcvQ7xSR9EnW1J868ZI55zMl5cPtgSs10tvQ9QG/8VWY1X0hC\n+3l6xzcAk3mbhVQK35Z1hDc+QSDxB3wbfoQPxdcKkW3AdItDlneSbJrMSwsmsaV1BfPaL6d/z+/Q\n/ntLP6gyUYhxhHwt9MXXk9D+goxwpNnayD1KpKCTs2gUWUEnfykBU5nQDfs7Wbx8UrrHykjY13yL\nxsAsuofX7dM1HLif9ZyW95U8tj28lB2DjzMldrJJTkxlTy5KaWCVlhQqRzuqzAfjZ17bP454XEfk\n8LKu1xJaQMuEBQwktpZVedqN9DMXt8/nwIquUSuUM5HxBEwRuKWzExEm4s+blQd9LUT8ZlYzkMiE\nGDr9VnwSJikDedd0kjRjgS56468ST/WiqohI0aQygPV7bgNMfaSAlbHZDiTegMFerJ7Xsbo3YfVs\npuHZmwkPgyyEoaDga5xOclILiQXnMRx7Jqsg5J7EKzyz49vp3zIaKOTodRL0Eqn+qlR0FqRgKZNK\nChpW6uQvFbUV9ZvcqD3DL5Z5tWKZ/CMLnqkNpxHwNWaNi33B5NgJ6fIoI0UazWq+gMmx44n4TZ2f\n3ElSKS2lUg1mdHvFVA8Rf+denzseunCmRuzm6uXBFEV2mLJhhFaOBiP4CFiNrPmrmZ1mazCOiSyK\nX2JAdpMvx/8S8rXjkyiQSpvMcl/OQqakpA7AUC/Wro34Xv0rgbW/Irj2l/hfeRhr5wZIDKPNU+Hg\ni0jMPZ7u4y5jYOUHSHYdhtW1CixfXsx9f+I1dgw+XtmDKoFCM02fFbHt2Sle7v5pxdccOTfDMPuJ\nsVVE/ZkeFuUImE29dwKVVVBw39Mg+7+KBaZVlE9SNGS3iLmyM5qZqTtabFNwLlMbTmdua/6sfGbT\nO8qm5fkn3MU8S7MKEYtoYGrah5QrBEolAJbqHVPw+DIEUjV6HdUCm54ylQemNexbjcBaoJxSU54G\nUwRu9c8RFm4nPxjtRUTSs/LBxFZUU4hYJGytx2dF8Nv+Ebcj36kCEPS1ErAaSSb7iSf3ELAa8kwG\nKR02Jp5U0pSu795E6O4PE1v/HP4FLmboD9hO+SmkmqfQP+kKAqH5pLZciZJI+2mcMuXVRiFTnyUB\nZjVfyHM7v0PPKJly3HDP/Nwz40JMLOKflKV17hh8ggN5d0nNqvCzc+XB5EwGAlZTlpmkM7qKrf2r\nbZqCeflOxWeu+QIm5u9iWsNp6euljxRhasMp+bRLtOB1CqExMIs9+xCP5reiOTQVZzWVF3Hcf9lW\nR+RwlnR+IO/5jUV4JrJ9QKFyKT4JZpkfgpbpaXHMMcezZttqhpM7GUxuJ+LvTCcS+iUCltGG3E79\njAbTSsDXyGByi53kODn7ZYwP4l/zU6LrHsD3wl0EFhvBZG2FlGWhjZ2kmo1A0Wh7Ti6KhSV+V2Kl\nLSjtv31feq6Xg0KMwJIgjcEDaA8vYfvgoxVfc0SaXTzRLVTcgsTB1IbTeHH3f+dt37jntwUvPSFy\nJK2hgwvcsjgjFhGOPvoYdg6uta+xIi0QfFaYVCr3JS0WRZa9fWrDaUyIHGkLDYNSpr0psVPoiCyn\nZ/j5osc46Go8h87IUcw/NsQbfTHCvsqd1ADz2z7Mszv/DTDmtmKo1AdTjomsEh/MWMJ4otsTMPuA\nQsUnfRJJ25ghuw92xD+J4eROBhKbifg7szQYBwmXI99x8getFoJ2Pa94ag+kUvh3v4Fv5xqs7teR\nvu2En7iV4BAkLNBwI6mmKfTMPpvBrhOI999a9Dc4M0OfFSKRiqcj1QrNJqvR86LQzNRhDtHAFAo0\nmByNu6aX3GZOf45foiOyIu0fyYU7fNxBS2hR8UzxEmHKANMazmTn4Fp8Es0KxoineuzSJile2P1D\n+1LFmG3mHq2hQ/IyyCE7l8pBbgRiTxkBZh3hZelAiVKCYSQ0BmexbOKNDCV3lhRS1XDye6g+Rmpv\nDp4PpiL4rWiWE9wp9Lh69WoiPsfRb/wwaR+MRPDb5SPc2euOkz/oayGQ8GHteAXrnn9hz/dnMbD2\n3/C9vhbp3Q5iMXTgSvrP+gq7rriH+OK3kTzgCIa6FpAKlPYrOOYWJ4s9Ew0XYUrs1CzfgF9qo5IX\ny0cpFyP5M9wmJndkXsxViHRm0zs5oOldBRtbAQWrFhfSUua0XIpPosxuuaQkTY89vI6DOz7FgvYr\nsMSX1Uu+NbyQ1nBGKyqmDbl/l7s/uhvFipQWg/v3O823Zja9I10xeTT8GKYlcWfJOloVO/nLEEjj\n1Qcznugup5yVNxWoAH4rmhUC6w5ndQTPoG2KcTLVfVYUS82s3dEgNJUivuclfLtfoe3295IYeoyd\nXUpvN+ycCBqKkWqehrZMI9U0iT2dVxELdJFIbAe7XJGJwir9Bzsvrl8iuPUxvxVmWuNpzG3x0xh4\njgnRI+mLr9/7B1MBnDyiRIFKB6ODDCOLJzMCxq1tBqzGogxva/9DBbcXapDVGj6YJaFFWdeKBqbk\nHQdkCZWIf2JBk10u/dmb3X6ewqawcqLykq5eQX6rgaHkDgBmt1wMXDzi+dVBpZ0aPbY1XuD9UxXA\nKTgY8U9hILGJ5qCplrtq1Sp6hw2DdjQYpxaZX8KohCGVJLn9GaIPfAxe+CO+eZvxJyH8MgQ7faSa\nJrB72iyGWyfYZVgy903qMG/03U3SZa+Pa19BG6jbcezMenOTDJ3fcewxJwEnARC0mtjS/wBR/zT6\nixSorBSFVGjLchJVu/P2lYORfDBuDcB5Drn9PtwRZc3B+XQPP5tef7Xn5/YxIXwSShf/dAuIrPvl\nCKr28DJUkzS6chdy7ept4UPZObg2HV2YTX85PT+yo9xmNJ7LG/33MCl23IjnuuvfjYRa+QMqdfKX\n0/xrPPky3BivdBeDJ2AqgBPZMb/tcvrir9MUzJRwyeTCmEiyZGoA4oNE1vwvgWf/SLD5T0gqQfAR\n6IsCwQj+2Bz6LvwEQ9OnkOj/cdH0vt7hV3itN7vkeyLVl+cnOqzzOtb3/DLdi9yxbbujmHwSLvhC\nN4XmsLD944R8bTyx9XMVPZdiKNQbw2H2k2MnsG0gv13APqOAZuKYfKY3/gO98Vez/rfZLZfQG3+V\nl7tvyRJ6k2MnsH0gE4RQTMDk316YED2i5DGtocXMbrmEqL8rb18xB7bbX5SbQT0xtqrsdriF/Ev1\nRrlhynNaLmXn4Fo6o0dVmSIPowXPB1MBnIgdvxWjOTQ3PXtdvXo1PitM0GpBB7aTfPDL+J75LZHH\nb6XxF1cQfvr3BOIJUrE2tp/yTzx70RUMH/pOZNH5xBedTSBSmnnlVmoGY27LNZEFrAaag/PS62kn\nv6uSsM8V/phr740FuvBb+bPq0YTDQPemfAaM7INx51uEnPa+dpLgpNgxzG65OEvr8FkhmkPzOHTC\nNemoQIDOyBFZpqhyBUwh5D5nEaEtfChhf8YHMrPpHUT905gUO5bOyErA1LA6uOMzzGh6e1Y/lH1p\nsuWMj8bAgSNqS7XyB5Trg2kNH8yBLReVVdNrPPky3BivdBeDp8GMAHefBn+hpk+pJNbmZ4jccSct\nA7ew27ed4VfAOgB8SYv4nOOIzz8d3/TNxH3beYIBwJjPHL/ASJnXOwafyNs2lNyR1lTcaAllaik5\nORnu3I1KS1eMNirJqM/F1IYz6GuJA3cWPSYWyPRaP6jtg+wcXJOVjFgMIhaLOq5i1+CTtEeWYomf\noK+V4dRuov5pVc8d6owelZ6Zz2g6l66mc9IBEbkZ4YX8QeXfZyVhfycNgRkMJLbyzM5vMq3hzL0n\nfBRQaRSZh/EDT8CMgKbgHLYNGAGTbvo03EfghXsIPHsHgef+xJl9xlHaMAN2dwXZsfAQElNiWG2H\n0jv582bfnjvoySkh71Q6NlFmFoVKx5dCoQZFAV8j7eEl9Ay/lGZM7mZV7rDpYvbeoK+N4Qps9ZWg\n0mZIbkxtOJmpx8Ajm/MFzMEdnybsy45WCvnaKgqz9VsRJkQz3QpnNr2d/sTrtIUP3WuaoXK7uojg\nK9AnfmH7J9g99HRZArP4tS2aQ0aLaQhOL1lItXY+mNEXMOPVlzFe6S4GT8DkoDFwIHviLwGmblba\noZgYJrTm5wSe/i2B5+9C4pmInWTbAcQXnI7Mm85w9Gl2BiaQSu7AH2jNXDd4IOREvzoajIhFwGoo\n3E2yAKL+qfQnXs/a5i5GOKv5Ivu6htlmazAjm8DCvgl7LWCWTvwqf9t6TcE8oubg/Io6/rnRHl6a\nXnb/R3Na3kfY3zGqNdQcRANTikaF1QOxwDRiRUKUxzc8S/3+Cu+fdeGQjs8xr+0DaZNVpywk+MK9\n+NfdSfBvtxL72T8RfPq3SHyARNdS+k+9hu6PPsTvj/gWA2d+ieD0k8Gy0qGfbm2hITgzzxTgtvlX\nUqAw1x8wp+VSWsOL0usiku1nyPLBZJaL2XudGS6UX7vKIshBbR/CJ0GWTbyeZRNvTNcCaw8vZUnn\nl/Mq1i5q/ySTYydlbZvacBodYVO11v28HDpWr17N7JaLaQ8vZWH7x2kNL9on/0gtMF7t6jXzwVSB\nDXnPfGzgTaPBiMhpwLcAH/B9Vf1q7jFhfzvS/TqHvNSE9fxfaF13M9tbUmyaBwjEZx1NfOFZDC88\nE23OzGyfuu0eVh19dN4s2u9m7BIkFpie1RLALVSMppStlRSDJaGscOSR/BpuAeP2wTz11FMFVfJJ\n0WNJaYKW0EHEAl00BGbgtxpI6iA+CbG5734mxY5hfc9t7Bp6itbQwcxpvTSHRj8L2q9gONlNyNdW\nMO8kGphKNDCVaQ2n0z38HI3B2Wm/wywuAEy0nE+i6fMdmg9suaicRzUmUOw5j3XUiu5yu3VWAu+Z\nVx9OCapSeFMIGDFG3n/HJH28DjwqIr9R1WfdxzX+x8n4N2aqCasvQPOE45nWNZfwrHPpbVlS8Prd\n3Sa81W9FCfs6GUya9rgBqznruMbggWkB0x5ekjXzrqS4XSLVR8jflk7WG0nAxALTS9KdCxGLqQ0n\np9ej6Sx483umN50DwAHN59MyuIDW8CEFr2OJPytSqhhErKLl4HOj2orRPJYxHmmG2tG9L4EfxeA9\n8+rj4I5P8eT2L5U85k0hYIDlwIuq+iqAiPwUeAuQJWD8Gx9HAxHic08kvvBshuefCuEmOiq40fz2\nD9Mz9DxDyV15DYomRlfSn9jElNhJNAYPyNpXiZkgoX2EfO0uAVO6+F/Y386MxnPZ2PtbWlymtH2F\ncYqXzvnw4KEYuhrPYefgWtojy+pNioe9QNjfzqToceSHGmXwZhEwUwF3S8HXgBW5B/VeeBPxuSdC\nsLK6XBs2bEgvB6wG2iOFNZ2gr4V5rZcV3NcRXU738Drb0W8iyiZEjmTbQH5L32kNZ9Az/CK7h57G\nklBZYasTY6vojK7MMlW56R4v8GiuHapN9+TY8UyOHV+Va3vPvDaY3vQWtpOfRuHgzSJgijcEt7Fm\nzRpuWrsW+DMAixcv5tBDywtPXbZsGU88Ufwhl4+3ZP0huwA/s/OOemHTLqAdP+8G4MnXn9uru40e\n3bWDR3PtMF7phvFL+3ige82aNaxduza9vnjxYk488cSCx0qhbon7G0TkCOBaVT3NXv8MkCrk6Pfg\nwYMHD6ODN0uY8mPAHBGZKSJB4F3Ab+pMkwcPHjzs13hTmMhUNSEi/wf4IyZM+Qe5EWQePHjw4GF0\n8aYwkXnw4MGDh9rjTaHBjAZE5C2YaLRHVbXyZvJ1gIicAGwGXlLVIRERHeMzChE5HogDj6iW0fR7\nDEFEWoHdY/0Z7y8QMVnDqmV0WhsjEJFzgXnAE6r6h3rTU214AmYEiMg04P8BDZgyvj8RkQ+q6l31\npaw4RGQh8GVgMvAKJoru/LHM+ERkEYbmCcA24CER+U9VLa9AWx0hIhOArwEdwLMicuVYftYAIhID\nrsVUyHtQVYuXqB6DsAN1zgBeFJFrVHXjSOfUEzYf+R4QAf4H+C8RuVBV764vZdXFm8XJvy9YBtyj\nqseo6nXAvwEfrDNNRSEiHcClwL2qugL4EDBZRJrs/cWbo9cJYhrXXI2h+ShM1YUF40S4rAD+gsmt\nuhA4D3hrXYkaASLyDuBhIIxpwv1RW8CPeYhIh4g8CCwG3gnEgH+uL1VlYS7wc1U9TlX/H0bYjLl3\ncbThaTAFICKTVdXp8vUI8KBr9zbsCgBj1OS0A/iiqjo1Jz5nb1sF/H4s0SsiIVUdUtWUiFzqMnWs\nAqbaJr6nVXVLHckcCc8Dp6jqywAi8kso2px0rCAMXKiqT4pIC7AAWFdnmsrFbuByVV0LICK/Ag4Q\nkZiq9pU+tbbI4SOrHW1FRD4BfBqIisgkVf1J3YisMjwNxgUROUJEtuDqaKWqm1R1m2vmPw1osffV\nnVmLyBki8oKIHOnQpKrdIhIQkfdgZk6/Br4hIh+xz6nrzElEzhKRu4APONsc4SIil2MEzK+A9wEf\nl0qbtlcRIrJYRM4TEafQXI+qviwijSLyG+AC4MMi8lURye+JXAeIyAwRcRek+7EtXKYAPwHOBb4k\nIufZx4+l590oIpeKiNNJLqmqa8Xg0xj6lwA/t03DdYeLj6QbQDn+RBGZDYSAY4D7getEZGyXA98X\nqKr3MXIiClyJYWoPAe+1t1v2txNx9wfgGHu5vc40Hw78DFgN3F5gf4tr+Rhg4xh4zrMwJqWbgO8A\ni+3tAfs76Dr2eOC/gJn1ptum592YrnAPAccV2H+U/X0A8CPgtDrTK8AXgCHgrgL7TwAuATox5qan\n3GOm3h9gKbABYzW4CIg4v8v+XgyE7eVvA1eOAZpH4iNWzvH/C1xVb7qr9RkzM5V6QET8IjJXRKKq\n2g/8UlV/AHwJuFJEGlU15T4eeAN4RUSuB/7s+DZqSLOIpOvvv4KpULAKmC4iF9jHWACqutt16os2\nvZUVWhsFuGfEakxJF2EczNuBt9nbnbrf7vrf2zAvbN0duHaC7kaMUP8DcIyITLX3CYCqPmR/v4Jh\n6vPrQ20ajUATRlAPi8i7AURMdVRVvVtVb1LVrcBtwN8x5rKxgjhGqH8CUzvwIMhYDlR1raoO2sfe\nB9Sl8molfCSHnwQw78C99aC7FnjTChgReRuwCbgR+LGItNrMD1X9Pca2frV9rM8e1E2YGd9dmGiQ\nE7WGjmgRuQLjD/qOiMxV1e2q+oy9+4vAp0Qk7AxiEQmKSERE3gvcDrxgvwA1g4hcBjwuItfbzxxV\nfclmwg8Dk0TkFPtYy3xJTET+EaMFPA6k6mHWE5FTReTTIjJHjYnjIVV9HGNynAssc40N93nHAXMw\n/rta07xCROaISIM9Nm+wBd/3gStExK+q8QJmsBMxkZJ/rzXNDmwmfbWIHG/T95Sq3gfcivEbrRIT\nCp573oHA+UDNI7Iq5COWPUGcar8XfwWGgbWFr74foN4qVD0+mMiTm4AV9voPMaaEha5j5mI0hMmu\ncxYDPwYOqQPNyzCVOGcD1wA3A2fkHPNHjEbjrAeAT2GEy9I60Hw4pkzPCoyd/2FcZiNMSPIngX/N\noflDGCFec5pddHwe4/j+BvBLjGPZvf9K4JvAInvdjxEqN9u/8601pjeCMTm+CvwA+E3Ofh/wU+C6\nnO0rMH6MR4F/sLdJHZ73yZicra9hNMTPAh2u/acD/42Z1DnbJtvj+3nqYGbaSz4SssfJ14Bltaa5\n5s+o3gTUcDA05aw/ApxpLy8Avgp8BPC7jvmczbR/DFxTB5ot1/J5wN32smDMBtcD813HzAOeBlba\n+6a7fzdGY7WqTLPPtXwm8FXX+oWYvjzu45di8l+uBL5iC51QHceJYGbL/xeYYW872WbCb3cdN9Vm\neGcDbcBce/tJuderEd2zcflZMCajj2P7KOxtKzB+lqC9HsT45saC7+JjwCX28uH2+/gvOcfcaB/X\n7DBn4GigzXVMtcf3vvKRz9f7Wdfy86YwkYnINcDddmTPefbmXwGLRMRSY2Z6EuiCrPr4LRhH6AZV\n/WKNaf4s8HUROcfe9CiwQUQWqxm1f8TMmtN2Z1VdRyYhNK6qG9Q24dmmnJS6bMBVoPkLwPUicra9\naRjDwBz6fgJsF5ErXac9AxyFeQkjqrpNVYeqRWMx2OawOWowCCzCCBYwQQl3ABc6/i9VfR1jKvsC\nZoZ6qb39z/b1/PZ61SINRWSua1WBbSIyx16/EtPBdZF9rKjqXzG+lr+JyF+Alap6v6reaB8z+r2L\ni9O+QkQOdZm8JmG0FIA1Np2HiIi7G9nXMZrw05h3I6yqD6jqThHx2b+xmuN7NPjIF6pF31jEfi1g\nRGSSiNyK+bPfi/nzrxCRRsxMbhJwrH34fZjZtOO/OBbz0h6gqp+tIc2Hi8jfbJqfAz4kJtx4G7AV\no52gqn/HBBwcaJ/XLCLXAU8As1U1K/lMVZNVpHmFiDyOebGeBL4oIiepyQ6PiMiHXYdfBZxhO80B\nbsA4c+er6kerRWMxiMhRYkKmP4Pxbf27vevbwDtEJKCqvRjf1yZsoSMi7ZhAhQHgBFX9tPu6qlq1\nXBh7jNwJfF9EbhST7Nlr726zmd0jGBPfhTY9KiILgLMw2ftXq+o9rmtKNceI6z6dIvIjTKLhx8ik\nBHwHmCYiS9QEfLyACeN1/HMBjNlsLvBJVT1WMw5+VDVZLWE+HvnImEG9VahqfjBRNBe41jsxjuO5\nwETMgL0BO9wYY2t31N2qqtolaH4LcJ5r/UJsHwUmouYb2H4M4DCMvd8JgWx3neev1W/AmF4uda1f\nD3zXXj4OIwhb7PX5mGoIMXs9XAsai9A9AcPY3m+vd2GE+FRMQMd/AZ+w90Xt9VOdZ40rVJkamB/t\n+xyLCXx4F6Y0zRewTUn2c78emGivT8f4ZDrs9UuA97muJdTQ34LxP3wMuNG17RngInv5s8B/u/Zd\nCXzWXo4Ax+Zcz18tWnPuM+74yFj57NcajKruwTi405uAgzEFCbdgBkIEuMWeVc3CzE7QKqraheCK\nkroL+KNrfTLG1ARmtvcsxgx1NPBRzCzPMcfssK/lU9VEDX/D05hn6JhYHgCSdsTSvRgzwjdF5F0Y\nTaFd7axrdc1C64Ae4Puq+n37mW3EJMd1AXsws+z322bJfoyvJQTmWdu/Dft3Vtv86IyHx4EvqOqt\nqrodMx4cU9l/2sun25rXBsyM2glbv0lN+KxDs6rNBWsBNabPu8gu7fJDjKAHw7RnujTeRowjHVUd\nUBNR5jY/1qRiwnjiI2MN+62AcV5Ie3A4aAdeVxP3j6quU9UPA9/FmJaWaw2L5rlDb50XXVV7VXUX\nmTpFgin1gqpuVtXvYWp1XYQxz1ytOVWHtbrmsDw7vU3zgOu+p2Oes8MAPgn8HPgHYAtwcbXoK4Xc\n0Fyb4a21l5NisvOXY2hXzYT3fkpEXsYInXtzr1tNRieZisFqm7F6gd+5DnkNUBGJqOp6zFheBvxC\nRJ7CMMOdrus570W9ytk8nTOpOBETPYaqvobRBk4SU2/sDExwRRZqSft44CNjGvVWoUb7A5wKNNrL\nkvN9OvA9e/ls7Iz8OtAo5Gf05q47NP+JTIb4Utf+gGvZN9o0FqM75zkHc/b77e/fYIdyY2Z6TfZy\nsNo0lvk78swWmDDe+Zh6bbn7GsmO1qtVZNhnMCHpeVF1ZMyiVwHfytkXwOSFHFfHZ1zSfIXRugOY\n0PsJ7vGB0QZqngqQQ9+Y5yPj4TOuNRi3BuDCBzGmozTUHgmYkMaQiPwAY9+tuXnGNsWomgKP80Xk\n/eJKjnTTLCJtGC1lQER+hqkX1W7PZON20palNXDOumiaKCLfwjC/mTn/QcrWEnYDc0XkF5josKB9\nfs37uzhai2RwJSYMNrfCQBJjjnxURNpE5EcicpG9b4+qPmufn5dYWQWanSK0qzFReAcVOMyhYTJw\nm5hs8o+JyFJVjavqLap6r0NzNel1w7mX2lqGiExw/QdpOuz9QYzPa0BErsaE+KJGG37SPqfqBXnH\nIx8ZLxiXAsY9UEUkJJlQXjDmg51uRuBwFkzI5krgMTXl92ueaa3GFBMWkUsxSVrvBm6wI4FyB3sT\nZoZ0M3Cfqp6uxvbvmNM0VzCNJnIZk4hMxOTfnKam7PjzbmZr07IQY767CpO38y41voK6QDMlOtSm\ndSHgjJdcQfF2zP9xO4bx3ZpzLa2FMHeYs6o+gElUfa8dsZQFe6wcAFyOyQqfhCsT356I1IRmB869\nRORoEVmH6aV0k3ufCydiotp+i3k3v1PgetU0P45bPjJuUG8VqpIPRiBKzra5GLv+OzAJcpcAN9n7\nfDnHvhWI1pjmXBp8GLv+k/Z6FFPm5VoypiTH/HEoJgkxWux6taAbkzDZai+fiMnJOclNq+vYaRg7\neqyOYyRdoBRTfeFaMomQZwPXkV1U0zn+WxihMjN3X43pn4ipJHAEJlLsXozJJnfsT8aEw/4Pruzx\nGtMrzlixx3YDJkv9h5gQ4xCm6OPVuc8TEyF5P9nZ+bWIxBt3fGS8fupOQJkDojFn/URM5MYHMKGY\nSzBlO75tD46ngCnuATUGfsMcMqG6p2AimKbZ66fZ9J9rr+fZ+DE266ra/jEhsOe41k/ARCH9CvhX\n4J/s7VdjsqoDxeit0zN2Z09Psr9bbYZ3K8b5/TYy9vNc4TjRPWZqxOy+AXzOXu60v0OYiLDP2Ov/\nBNySQ5/D1JfXmmb3/VzLIdfyTZjw+Zn2+kJMuLQz/h3aO3KuV9XJ0/7AR8bbZ0ybyMRk514AXCV2\nYp6IXIxhbr/DhDfegcn8/SQmL+QGzGBOF8XT2occf0NE/tlenmv7T74H3Cwiy1X1TxiG4YRrPoBJ\n4jtFRKaqPZpd17PUhB1XzfYvIp3APcC1ItJlmwKOwZi6/hEjID8hpnfF7ZiZ6turRU+hvZ0jAAAI\n+klEQVS5sM2Nc8GYU8QUyvwW8FsR+RKmHcAnMZUPPosZF0eISEfuuFC7sZnUoOqBC7/G9LyZh0n0\nPFlNdNvPgNkichqmbE0EONPlk3BMf4/YNFc9VNqBZCLbnGTCDwOrReQaMT3nr8Qkz7aJSFBVn8Yw\n6+Pt85L293aHdvf2KtA7LvnI/oAxK2Bs+3ESYydvxpS9ADPTuEFVf6iqX8JkK/+rfezFmJyRU+tB\nswu/Aj5m280/CtypqsdhopG+LiIhjENzqYgcqSYn5D7gp2pKkGShmgPb5ejejhGCW4CP2MLsa5gy\nF/dg+lb8GfiSGgfsy8BKMSXKa5ZL4YaYhllvYBhzxGYe38ZUPTgJmIIJjPCp6g8xiZLHYMySeVV5\nHVSL0eXCHuP3YyIFr8fMpt9t03APpj3AOZhoqx8A78Hk4pD7zLUGobsicqKI3A2caI9hRORC4BCM\nZhgH/gXYhTF9fQYTcnwsJjnxsULXrSbt45yPjH/UW4XK/WCcfg8D77bXGzED9SuYqJP/AL7pOn4F\nJgHRCSmMkqMK15h+J5TxNjLZ7Msw9ay+iXnJrrS3XwvcXyc6z8S8VE5DpCaMgLkIo105PpZrgPfY\nyx/BtAM+AiN46uJnyfkdd2Ac3B+y17swfqDf2b/jblxFEzE5DM+SKZZYN/Oea6y0Ad0Y+/+/ARfb\n21di8lwus9dn1olOp1LzwxjfRATbJIbxW70VIyD/Apxtb2/BTEh+gTFPvrPGNI9rPrK/fMaiBrMV\nk+z2ORH5KIZZ3IYxyZyOaeLzHhE52D5+AfCo2olQqtqv2UlR9cJlwAUiMhPDkO9U1Y9hZqLXimkB\newPG/FSPNsZbMWavy0XkLIzgeB7D1G7H1FwC4/zssE018zBBB7tUdbfWuAe6bbr7poistNfbMfXa\nbgKcYpUbMUzwCVU9H5Pgean9P6Cm2sGd2DXc1OYm9YCqqq1d7cT4Yj6NGetXichiDOO+G7uvjKq+\nWodxAkYTnKmqR6jqTcCgZgqSbsEIkQ2qeqSq3i4ih2BCd3+Acfxfoao/g5qO8/2Fj4xrjDkBo8am\n/F1M9voGTA+LmZiKtSswzvHrgGtE5PeYEM0H6kJsAbiYxg7MbPSXQBIIi8gsYAZmxh2zB/Fzto+l\npoxOVR/FOJJjGIfmf2IY70ZMqKtPRE7FCJQJmJnqalX9vJqqzfXAKuAKTB/zQ+xn7MNEU/0JcEqM\nHAQ8J6ZA4kRMtv7BACJyAqbe27M1pr0gNOOP+ALmObdgqgb/KzCsqher6lrX8fUQiIOYoqXHiWkO\n9yERuVZEzsBoin/E+CsQkfdhxv1CVb0Fo5293fF91Ir+8c5H9hdIfcZraYgp4b0eM3tegmEIh2GY\nwn2q+kMRacEUv/vf+lE6MkTkeUzC3AsY5vg1Vf1afakysJ/heuxilZiZ3dOqep6InI956c7W7NbL\ndYWI/BZjBvt3jE3998D7MbPoz2AaUC3A+C5OwfTg+GdVHbDPnwr0jbHfZKlJvD0P0y9kvu0cH7b3\n+7SGuSwF6AtgxsfVmLIzd2Hex62YkPXHMKH2cUyr6OtU9WH73OWYml3P14Hu/YaPjFvU20ZX7IOZ\nOd+nGXvotzGzjjXYjaDG8odMbsXbgOft5VbX/prks5RB578Ad9jL78HY0gOYisKXMsbs0JhS6N0Y\nTfB2TEDFDZgw7o8Ct9rHtZBd3qUmlXf34Xc5k70/A+9wxghjKDQWoxlGyOREXQZ8w14O5TzvvFyT\nOtE8rvnIeP+MSQ3GgYisxzjEf2ZHO63CaNnjQpV1MqnF9Bv5rqr+3A7JrFrvir2BiGzARI79WkRa\nVHW3Q3u9aSsEEfkVxl/0RUyk2wTgnZiZ6kcw4aev2s/eqSQ85kNM7ajDn2CqJT9eb3pGgpjKwY+r\n6rdzttdV48rFeOcj4xljXcCcB/xIVYMjHjxGMR6Yhm0Ou2m8PGcxNdpexSQZPicis1X1RTsXpF5V\ngvcZInIcJvnv2rHEoB3Yk6MuTATixRhT0ydVdVtdCRsB+wMfGa+oeiG5fYGq/lRMBzwLuxRUvWna\nCyzFOJnX1JuQYlDVWyRTlHDMP2c1LXK/ifG7LFLVF+3tToFFazxoLLlQ01/m3jqTURRqElkbMXkv\nV2mmH86Y1XZhv+Ej4xJjWoPx4KEUROQPmLydneNRoIx32CHHNavm7WH8wRMwHjx4qBjjVUv0UFuM\nuTwYDx4qgdSw14mHDDzh4qEceBqMBw8ePHioCjwNxoMHDx48VAWegPHgwYMHD1WBJ2A8ePDgwUNV\n4AkYDx48ePBQFXgCxoMHDx48VAWegPHgoQoQkVdFpF9EekRkl4g8KCIfKKcfiojMFJGUq9uoBw/j\nEt4A9uChOlDgLFVtwrTnvR7TSuAHFVyjHs3FPHgYNXgCxoOHKkNV96jq7cC7gEtEZKGInCkifxOR\nbhHZICKfd51yv/2929aAjrAbfN3sHJCr5YjIvSJyna0p7RGR34hIh4j8xL7HI3YXVQ8eagZPwHjw\nUCOo6SL6GnA00AtcpKrNmOrEHxSRt9iHHm1/N6tqk5rmXeVkRL8LU5ttKqYl9F8wGlMbpvLx54uf\n6sHD6MMTMB481BabMA277lPVpwFU9SlMS99j7WMKmcZGMpcp8F+q+oqq9gB3YBrd3W0Xo/w5ppuj\nBw81gydgPHioLaYCO0VkhYjcIyJbRWQ38AGgfR+vvcW1PIhpaexeb9jH63vwUBE8AePBQ40gIodj\nBMyDwP8AvwamqWoL8F0y72Mhc1gvpuWvg0kj3M4rMuih7vAEjAcP1YMAiEiTiJwF3ALcrKp/x2gT\nu1R1WESWAxeQEQrbgBTGj+JgDXCMiHSJSDPwmWL3K7DswUNd4AkYDx6qh9tFpAfYgBEIXwfea++7\nHPiivf+fgVudk1S1H/gy8KCdQ7NcVf9sH/Mk8ChwO/laiuYsl9rvwUPV4ZXr9+DBgwcPVYGnwXjw\n4MGDh6rAEzAePHjw4KEq8ASMBw8ePHioCjwB48GDBw8eqgJPwHjw4MGDh6rAEzAePHjw4KEq8ASM\nBw8ePHioCjwB48GDBw8eqoL/D8mjND4dCBsFAAAAAElFTkSuQmCC\n", | |
"text": [ | |
"<matplotlib.figure.Figure at 0x1090faa10>" | |
] | |
} | |
], | |
"prompt_number": 24 | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"Das scheint auch ganz gut zu fitten." | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"mitmediakraft['ForecastExp'] = expfit(timestampmitmediakraft, *popt)" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [], | |
"prompt_number": 25 | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"Die Abrufe filtern wir noch etwas mit dem [exponentially weighted moving average (kurz: EWMA)](http://de.wikipedia.org/wiki/Exponentielle_Gl%C3%A4ttung), damit die gr\u00fcne Kurve etwas ruhiger wirkt." | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"plt.figure(figsize=(7,5))\n", | |
"vormediakraft.DataFitExp.plot(label='Model Fit (exponentiell)')\n", | |
"#mitmediakraft.Abrufe.plot(alpha=0.6, label='reale Entwicklung (mit Mediakraft)')\n", | |
"pd.ewma(data.Abrufe, span=30).plot(alpha=0.5, label='reale Entwicklung (30T EWMA Filter)')\n", | |
"mitmediakraft.ForecastExp.plot(label='Extrapolation')\n", | |
"\n", | |
"plt.ylabel('Video Abrufe \\'ungespielt\\'')\n", | |
"plt.ylim(0, 5e5)\n", | |
"plt.legend(loc=2)\n", | |
"plt.title('YouTube \\'ungespielt\\' Abrufe mit/ohne Mediakraft')" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"metadata": {}, | |
"output_type": "pyout", | |
"prompt_number": 27, | |
"text": [ | |
"<matplotlib.text.Text at 0x10967ef50>" | |
] | |
}, | |
{ | |
"metadata": {}, | |
"output_type": "display_data", | |
"png": "iVBORw0KGgoAAAANSUhEUgAAAdAAAAFRCAYAAADEsfx9AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAElFTkSuQmCC\n", | |
"text": [ | |
"<matplotlib.figure.Figure at 0x109522e50>" | |
] | |
} | |
], | |
"prompt_number": 27 | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"Mit exponentiellem Wachstumsmodell sieht es noch deutlicher aus. Der Channel `ungespielt` hat seit dem Beitritt bei Mediakraft deutlich mehr Abrufe, als es die Zahlen 'vor Mediakraft' andeuten." | |
] | |
}, | |
{ | |
"cell_type": "heading", | |
"level": 4, | |
"metadata": {}, | |
"source": [ | |
"H\u00e4tte `unge` Anfang 2014 nicht mit `Mediakraft` zusammen gearbeitet, h\u00e4tte er heut nur ca. 0.2mio Abrufe auf `ungespielt`." | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"Fragen? [@Balzer82](https://twitter.com/Balzer82)\n", | |
"\n", | |
"" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"" | |
] | |
} | |
], | |
"metadata": {} | |
} | |
] | |
} |
Sign up for free
to join this conversation on GitHub.
Already have an account?
Sign in to comment
Look at it here in IPython Notebook Viewer: http://nbviewer.ipython.org/gist/balzer82/0bb56b27afea56a64504