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Last active December 16, 2015 11:29
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Analysis of search engine market shares across countries and time.
{
"metadata": {
"name": "hhi"
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "heading",
"level": 3,
"metadata": {},
"source": [
"Analysis of Search Engine Market Shares"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"<a href=\"http://github.com/pydata/pandas\">pandas</a> is the only dependency for this tutorial."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import pandas as pd"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 1
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The data we'll use comes from [StatCounter](http://gs.statcounter.com/). Rather than beating their servers to get the data, I've downloaded search engine market share data for a few countries.\n",
"\n",
"* [United States](http://s3.amazonaws.com/econpy/hhi/search_engine-US-monthly-200807-201304.csv)\n",
"* [United Kingdom](http://s3.amazonaws.com/econpy/hhi/search_engine-UK-monthly-200807-201304.csv)\n",
"* [China](http://s3.amazonaws.com/econpy/hhi/search_engine-CH-monthly-200807-201304.csv)\n",
"* [Germany](http://s3.amazonaws.com/econpy/hhi/search_engine-DE-monthly-200807-201304.csv)\n",
"* [France](http://s3.amazonaws.com/econpy/hhi/search_engine-FR-monthly-200807-201304.csv)\n",
"* [Canada](http://s3.amazonaws.com/econpy/hhi/search_engine-CA-monthly-200807-201304.csv)\n",
"* [Russia](http://s3.amazonaws.com/econpy/hhi/search_engine-RU-monthly-200807-201304.csv)\n",
"\n",
"Notice the difference between the URL to each country-level CSV is simply the country's abbreviation. We'll use this string manipulation when building a DataFrame from the CSV data at each URL."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The CSV data is comma delimited with column names in the first row with double quotes around values. For example, here is a look at the US data:"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"<code>\n",
"\"Date\",\"Google\",\"Yahoo!\",\"bing\",\"AOL\",\"Ask Jeeves\",\"Other\"\n",
"2008-07,79.29,12.88,0,1.86,0.12,5.85\n",
"2008-08,79.59,12.62,0,0.85,1.04,5.9\n",
"2008-09,79.36,12.57,0,0.78,0.96,6.33\n",
"2008-10,80.14,12.34,0,0.79,0.93,5.8\n",
"...\n",
"</code>"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"First make a list of the country abbreviations so we can iterate over it later, then create a function that reads in the URL of a CSV file and returns a DataFrame. The first column of the CSV file is the date (monthly aggregation) of each observation, which makes it a good candidate for the index of the DataFrame."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"countries = ['US', 'CA', 'GB', 'FR', 'CN', 'RU', 'DE']"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 2
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"def makeDataFrame(country):\n",
" baseurl = 'http://s3.amazonaws.com/econpy/hhi'\n",
" url = '%s/search_engine-%s-monthly-200807-201304.csv' % (baseurl, country)\n",
" dframe = pd.read_csv(url, index_col=0)\n",
" dframe.index = pd.DatetimeIndex(dframe.index)\n",
" return dframe"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 3
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Now use the <font color='purple'><code>makeDataFrame</code></font> function to create a DataFrame for each country."
]
},
{
"cell_type": "heading",
"level": 4,
"metadata": {},
"source": [
"<img src=\"http://s3.amazonaws.com/i.o/flags/United+States+of+America(USA).png\" style=\"padding-right: 10px\"></img>United States"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"us_df = makeDataFrame('US')\n",
"us_df.plot(title='All companies in the US')\n",
"pylab.show()\n",
"\n",
"us_df['Google'].plot(color='g', title='Google')\n",
"pylab.show()\n",
"\n",
"us_df['bing'].plot(color='b')\n",
"us_df['Yahoo!'].plot(color='y', title='Bing (Blue) and Yahoo! (Yellow)')\n",
"pylab.show()\n",
"\n",
"us_df['AOL'].plot(color='k')\n",
"us_df['Ask Jeeves'].plot(color='r', title='AOL (Black) and Ask Jeeves (Red)')\n",
"pylab.show()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "display_data",
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3dFslSZIsWr9+PSEhIYSEhHD27Fm++uqrxm5SvatRSWTSpEkMHDiQKVOmUF5e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\n4vJi7FR2ONg5mD04aRRGisuLKSororC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dSXHxZ3GcsWdthzEpdu5cysSJ/8j48TdloWaD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\nRI4QOeyIiIiIHOH/AdE4ZqPnbmSRAAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x403f450>"
]
},
{
"output_type": "display_data",
"png": 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7f1S7fFp+GoYFKZewzURmmNBzgsHYIkL4Lv164VdM6DmhQwfGTGSGaeHT8OWY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\n",
"text": [
"<matplotlib.figure.Figure at 0x4858710>"
]
},
{
"output_type": "display_data",
"png": 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oJ+d7ysz8mlJTP6OkpHfp/PkelJz8UaPHOHGCqHdvojFjiP74g6iy8v5tjh0L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\n6SIvGo8S2bJlC2bNmgWpVIoePXpgz54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"text": [
"<matplotlib.figure.Figure at 0x4d2add0>"
]
},
{
"output_type": "display_data",
"png": 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p5emCLl264OHDh7hz546mm8IY0xCN5Lxzc3Nhbm6O3NzcCk84CQwMREREBLZu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\nrkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x485c490>"
]
}
],
"prompt_number": 4
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The story in the US is pretty straight forward - Google has maintained a consistent market share for many years, while Bing and Yahoo battle it out for the 2nd and 3rd largest shares, hovering around 10% each. AOL and Ask Jeeves bring up the rear, each holding less than 1% of the market."
]
},
{
"cell_type": "heading",
"level": 4,
"metadata": {},
"source": [
"<img src=\"http://s3.amazonaws.com/i.o/flags/China.png\" style=\"padding-right: 10px\"></img>China"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"china_df = makeDataFrame('CN')\n",
"china_df.plot(title='All companies in China')\n",
"pylab.show()\n",
"\n",
"china_df['Google'].plot(color='g')\n",
"china_df['Baidu'].plot(color='b')\n",
"china_df['360 Search'].plot(color='r', title='Google (Green), Baidu (Blue) and 360 Search (Red)')\n",
"pylab.show()\n",
"\n",
"china_df['bing'].plot(color='b')\n",
"china_df['Yahoo!'].plot(color='y', title='Bing (Blue) and Yahoo! (Yellow)')\n",
"pylab.show()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "display_data",
"png": 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fP4v/hqSEwjtybtDJTgpFvJSPnAkhuHDhArKzs9GiRQvk5eVBV1cX9erVQ3h4OAICArjq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\nl0gkkrMcKeQSiURyliOFXCKRSM5y/j9qEtuvVWkvnAAAAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x4728250>"
]
},
{
"output_type": "display_data",
"png": 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XUxC53ikbZX1z4ADQti1QjtddkQq/Z2TDNXINo8uLS3BUw4kTgJERsGGDpi3R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\n",
"text": [
"<matplotlib.figure.Figure at 0x4ad0390>"
]
},
{
"output_type": "display_data",
"png": 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1azUei80YE1KHE/bkyZPxyy+/CNEWk2laczNGe0eIqFnDWOyOxqar4rjoxrHR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\nMTPuVJzBYAAAAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x4ae7290>"
]
}
],
"prompt_number": 5
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"China is rather unique as it is the only country in this sample where Google isn't the market leader - in fact, Google is #3 today. Much of this has to do with regulations passed in China over the last few years that have been aimed at censoring Google in an attempt to push them out of the market. Baidu has benefited largely from these regulations, as has 360 Search in recent months."
]
},
{
"cell_type": "heading",
"level": 4,
"metadata": {},
"source": [
"<img src=\"http://s3.amazonaws.com/i.o/flags/United+Kingdom(Great+Britain).png\" style=\"padding-right: 10px\"></img>United Kingdom (Great Britian)"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"uk_df = makeDataFrame('GB')\n",
"uk_df.plot(title='All companies in the UK')\n",
"pylab.show()\n",
"\n",
"uk_df['Google'].plot(color='g', title='Google')\n",
"pylab.show()\n",
"\n",
"uk_df['bing'].plot(color='b')\n",
"uk_df['Yahoo!'].plot(color='y', title='Bing (Blue) and Yahoo! (Yellow)')\n",
"pylab.show()\n",
"\n",
"uk_df['Ask Jeeves'].plot(color='k')\n",
"uk_df['AOL'].plot(color='r', title='Ask Jeeves (Black) and AOL (Red)')\n",
"pylab.show()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "display_data",
"png": 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1WLDPqr3PsENb5Onp6fTp04f9+/czcOBA3n77bYYOHcrQoUNZtmwZ99xzD8uW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\nBnFxEBlpHA8wm41he81sNkpPtbVGq6t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jtbDGMptTp06hrKwMxcXFGa+DNVa5fPr0Cfv2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\n",
"text": [
"<matplotlib.figure.Figure at 0x3f88150>"
]
},
{
"output_type": "display_data",
"png": 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wf859wf0Seh5dD1sDUf+aPE8kEuHdbu8icnok9v6zFwN3DuTtKn7bb27H1+e+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\nYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x4d26190>"
]
},
{
"output_type": "display_data",
"png": 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zcWHsxg39xaUtTbVTL1+MxOIQNDYWo6mpVJDxm/vLAL+9n27dJvw7J3oiUlPH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\n",
"text": [
"<matplotlib.figure.Figure at 0x473ea10>"
]
},
{
"output_type": "display_data",
"png": 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RjnMjTufnNpFIJDh79iw8PT1ha2uLRYsWwd3dXXTd4cOHw/H2bcDUFAnx8cjP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\neuj/AR1xFW/aCJfWAAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x4b076d0>"
]
}
],
"prompt_number": 6
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The UK is somewhat similar to the US, except Google maintains an even larger share of the market (~90%). However, Bing has been steadily increasing their market share in the UK, sitting at nearly 6% today. Yahoo has been hanging around in the #3 position, with Ask Jeeves and AOL bring up the rear with a combined market share of less than 1%."
]
},
{
"cell_type": "heading",
"level": 4,
"metadata": {},
"source": [
"<img src=\"http://s3.amazonaws.com/i.o/flags/Germany.png\" style=\"padding-right: 10px\"></img>Germany"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"germany_df = makeDataFrame('DE')\n",
"germany_df.plot(title='All companies in Germany')\n",
"pylab.show()\n",
"\n",
"germany_df['Google'].plot(color='g', title='Google')\n",
"pylab.show()\n",
"\n",
"germany_df['bing'].plot(color='b')\n",
"germany_df['Yahoo!'].plot(color='y', title='Bing (Blue) and Yahoo! (Yellow)')\n",
"pylab.show()\n",
"\n",
"germany_df['WEB.DE'].plot(color='k')\n",
"germany_df['Ask Jeeves'].plot(color='r', title='web.de (Black) and Ask Jeeves (Red)')\n",
"pylab.show()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "display_data",
"png": 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isr2EOLqktCKEEJ2YJHIhmklqwf5JXAKTGnk7kJGRwapVqxrdv27dOvr27XsM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\nTSml1L333quGDBmiCgsL/c6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5nOByolzu2qELw+PCY7jxeNwYhhvD48L0uDFNA9MwUKaB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\nBXSzjSLZAAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x403f490>"
]
},
{
"output_type": "display_data",
"png": 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VHh4emDJlCiZMmNC2z6aV6vcESUOUm4b0u+jDo58Hgo4EaToUrUWvGW7qyIvS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\nAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x4ae6dd0>"
]
},
{
"output_type": "display_data",
"png": 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EBg1q+z5a24QgnuDGDWDePODmTfW2W1oKdO8ueaLOpk3cnppbtqjXJkI9XLnC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\nRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x4d25190>"
]
},
{
"output_type": "display_data",
"png": 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wNDSEt7c3QkNDq5XTtVUkTL+UDPMNP8wvklGVb5KSklBYWIju3bsrvW1V6N6l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\nTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x4ad0910>"
]
}
],
"prompt_number": 7
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Germany is definitely where Google has flexed its muscles the most, holding onto over 95% of the market. Similar to the UK, Bing has gained on Yahoo in recent years, but both struggle to keep up with Google's market domination."
]
},
{
"cell_type": "heading",
"level": 4,
"metadata": {},
"source": [
"<img src=\"http://s3.amazonaws.com/i.o/flags/Canada.png\" style=\"padding-right: 10px\"></img>Canada"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"canada_df = makeDataFrame('CA')\n",
"canada_df.plot(title='All companies in Canada')\n",
"pylab.show()\n",
"\n",
"canada_df['Google'].plot(color='g', title='Google')\n",
"pylab.show()\n",
"\n",
"canada_df['bing'].plot(color='b')\n",
"canada_df['Yahoo!'].plot(color='y', title='Bing (Blue) and Yahoo! (Yellow)')\n",
"pylab.show()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "display_data",
"png": 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gA8aMGUNNTQ0PPfQQV111VdCKeGNycnKMxzQ9eumXlnzlubCwUGVlZRnz69at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\nyxAuZx21zvq4frnNacNishBiDsFqthJ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0CsXWrVvR19eHwcFBaJqGaDSKQCAgchOMMcZ+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\n",
"text": [
"<matplotlib.figure.Figure at 0x403f450>"
]
},
{
"output_type": "display_data",
"png": 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w+++/ixxnbm6O7Oxs4XJ2djYsLCza251CNf+W7G7SStJgZ2gn031019zImqLz\nwuWZMYrODVfJIy/tFvbCwqYvTVZWFo4ePYqgoCBERkZi48aNCA8Ph6ampshx7u7uSE9PR2ZmJmpr\na3HgwAEEBgayGz0B8L/CbiDbwk64icuFnShOu4V9xowZEAgECAwMxNatW9G3b1+8//77qKiogL+/\nP9zc3PDee+8BAHJzczFp0iQAgJqaGrZs2YLx48djyJAhmDVrVpsZMVzTsifYncjjiL275kbWFJ0X\n497GKKjk5pRHReeGq+SRl3bv7njp0qU2r6Wnp4tc18zMDBEREcLlCRMmYMKECV0Ij0hDHoWdcJOx\ntjFSilMUHQbhGLpXTDdXUVsBo41GqFxVSTf/6oFOpZ/C5rjNOD33tKJDIXJG94pRYhmlGbAxsKGi\n3kNRj52IQtWghe7YE5RXG6Y75kYeFJ0XLhd2ReeGq+SRFyrs3Vx6STr113swo95GKKws7DbtzLqG\num4Ta3dGPfZubt6xefCx8sHbbm8rOhSiIH3X9UX2h9nQ1dRVdCjtCtgTgPyKfCzzWIa5TnOh3Utb\n0SF1W9RjV2I0I4ZwuR3TEsMwuJF3A6u8VuFU+ilYfW+Fj858hIzSDEWHpnSosLfQHXuCaSVpsDW0\nlfl+umNu5IELeTHW5uZc9pdz0/zLZ5ZgFo7NPoaEdxOgrqKOkTtHYvK+ySirLlNAlPJHPXYiUUlV\nCRoaG2DU20jRoRAFMtEx6RZH7HeL7kJgJACPxwMA8PX4WO+3HlkhWdDX0sd/L/1XwREqDyrsLXS3\ne1s0t2Gaf1BkqbvlRl64kBeutmJezs3dwrsYYjSkzXpa6lr4xv8b/Jb8G9JLRF/8qEw4ca8Ywl3U\nXycAdwv7y1KKUyAwEoh8z0THBMtHLcfH5z6Wc1TKiQp7C1zol3ZEWqn8Cnt3y428cCEvxr25Wdhf\nzs3dwrsQGIsu7ADwzxH/RFJ+EqIyo8Suowyox04koiN2AnSPI3aGYYQ9dnE01TSx3nc9/u+v/0ND\nY4Mco1M+VNhbUES/tLquutPz+OVZ2LnQS+YiLuSFq4W9ZW6aZ+0YaxtLHPO64HVoqmliz609sgxN\noajH3gNM3DcR++/s7/C4RqYRGaUZsDWQ/VRHwm1cLewtpRSltJoRIw6Px8N347/D6gurUVFbIafo\nlA8V9hbk3S8tqChAdGY0wu93/CHfueW50NXQRR+NPjKIrC0u9JK5iAt5MdEx4fw89vb66y15WnjC\nh++DjdcTKHdhAAAgAElEQVQ2yigyxeJEjz00NBROTk5wdHREaGgoAODgwYMQCARQVVXFzZs3xY7l\n8/lwdnaGm5tbm4dgE+Bk2kl4WXnh7IOzqG+s79BY6q+TZgZaBnj+4jnqGuoUHYpYd4vuYki/tlMd\nxVnnuw5b4rbgyfMnMoxKeUks7Hfu3MEvv/yC+Ph4JCcn4+TJk3jw4AGcnJxw9OhRjB07VuLGeTwe\noqKikJiYiLi4OFYDlwV590uP3T+GxcMWY6D+QFzPvt6hsfK64rQZF3rJXMSFvKjwVGCoZYjiqmJF\nh9JKy9ykFKVIfcQOAJa6lljsvhirzq+SQWSKpfAee2pqKjw9PaGpqQlVVVV4e3vjyJEjcHBwgJ2d\ndEeLdIMv0SpqKxCdGY0JthMw0XYiTmWc6tB4es4paYnLfXZpZsSIsnL0SkQ/jsaBOwdkFJnykljY\nHR0dcfnyZZSWlqKqqgoRERF48kT6P414PB78/Pzg7u6OHTt2dDlYWZNnv/SvjL8wwmIE9DT1MNFm\nIk6ld6Kwy7EVw4VeMhdxJS9cLOzNuZF2RszL+mj0QfjscCw7vQyxT2LZDk9hFP7MUwcHB6xYsQIB\nAQHQ1taGm5sbVFSkP9969epV9O/fH0VFRfD394eDgwO8vLzarDd//nzw+XwAgJ6eHlxdXYV/rjQn\nQdmWw8vCMcVhCqKiotDY2Iic5zl48vwJMm5mSDW+ubDLK95mXMkfV5aTkpI4EU9zYVd0PkQt38y7\nKZwR09HxT1Of4kPTDzHtz2m4tuAaHiU9Uvjn6epyUlJSp8ZHRUUhLCwMAIT1UpwO3Y991apVsLS0\nxOLFiwEA48aNw6ZNmzB06NB2x37++efQ0dHBRx991DqAHng/9rqGOphuMkXy4mRY9LUAAMw9Mhc+\nVj4IHhYs1fg+6/rg2cpn0FDTkHW4pBsIiQyBla4VPhz5oaJDaWNz7GakFKdg26Rtnd7Gt9e/RVhS\nGK4uuCq3mWBc16X7sRcWNv15l5WVhaNHjyIoKKjV++I2XFVVhfLycgBAZWUlzpw5Aycnpw4Frqwu\nZ12Gtb61sKgDaGrHSNlnf/T0Ecz7mlNRJ0Im2tyc8gh0fEaMKB+O+BAjLEZgzuE5dFWqFNot7DNm\nzIBAIEBgYCC2bt2Kvn374ujRoxgwYABiYmIwadIkTJgwAQCQm5uLSZMmAQDy8/Ph5eUFV1dXeHp6\nYvLkyQgICJDtp+mil9sOsnIs9Rim2E9p9dp4m/G48OgCXtS/aHe8IqY6yis33Q1X8sLlHntHZ8SI\nwuPx8OPEH1FTX4N/nf0XC9Epjjy+MxJ77ABw6dKlNq9NnToVU6dObfO6mZkZIiIiAADW1tbC/iP5\nG8MwCL8fjlNBrY/O+/XuhyFGQ3Al6wp8rX0lboPmsJOXcbGwA52fESOKuqo6Ds48iJE7R8KijwUW\nuC2AvpY+C1Eqn3YLe0/SfMJClpLyk9BLtZfI+1I3t2OkKexOxvJta8kjN90RV/LCxcLu4+OD/Ip8\n8MDr8IwYcfS19HEy6CTmH5uPz6I/Q59efSAwFkBg1PRv3MBxsDGwYWVfsiKP7wzdUkDOjt0/hikO\nU0TeM2OC7QSppj2ml6bTETtphYuFHfj74RpsPgzGxsAGVxZcwfOVz3F94XV8OOJDmPcxx5XsKxi1\ncxRKqkpY21d3RYW9BXn0vo6lHsNr9q+JfG9o/6EorS7Fw7KHErch76tOAe70krmGK3lpLuxcmmEW\nFRXFSn9dHB6PBys9K0y0nYjlo5dj95TdmCmYiU8vfiqT/bFFHt8ZKuxy9KjsEfLK8zDSYqTI91V4\nKphgMwGn00+L3UZlbSWKq4oxoO8AWYVJuiHtXtrg8XiorKtUdCitsNVfl9Z/x/0Xh+8dRmJeotz2\nyUVU2FuQde8r/H44Au0DoaqiKnadibYTcTpDfGHPKM3AIP1BErchC1zpJXMNl/Ji0dcCH5z+AAfv\nHkRRZZGiw4GPj0/TVEcR55NkxUDLAF+O+xLLTi/j1F8vLVGPvRs68+AM3jr6Fq5lX2vzxTqW2tRf\nl8Tf2h+XHl9CdV21yPdpRgwRJyIoAgIjAXYn74btZls4bXPCB6c/kPgXoCwxDNN0u145HrEDwAK3\nBXhR/wJ7b+2V6365RKkL+/3i+2hkGqVen43e1/Xs68gozcC8Y/Mw7Odh2JW4C9V11SiuKkZifiJ8\nB0qe8aKvpQ9XU1dEP44W+b6iCjtXeslcw6W82BjY4KNRH+Fk0EkUf1yMnYE7Yd7HHItOLsLJtJNy\nj+do5FGo8FRYmxEjLVUVVWyZuAUrz6/E8xfP5bpvaVCPvYsC9gbI/WilrKYMM4bMwP1l97HWdy2O\n3DsCy+8tMffIXPhZ+0FLXavdbUy0FX9TMHk+wJp0X2oqavAw98CKMSuw67VdWHZqGSpr5dt/zyzL\nZH1GjLRGWIzA+EHj8UX0Fx0euyZqDc48OCODqORHaQt7bnkusp5l4fyj81KPYaP3VVZTBgMtA6jw\nVPCqzas4GXQSMQtj4Grqig88PpBqGxNtJyIiPUJkj1BRR+xc6iVzSXfIi5+1H7ysvPB59Ody3a/6\nIHWZzYiRxjrfddidvBv3iu5JPebAnQP4PuZ7/Ofif2QWlzy+M0p7gVLsk1iY6ph2qLCzobS6FPqa\nra+GG2QwCBv8Nki9DSdjJ9Q11MFpmxNUeK1/96aVpMHe0J6VWEnPsSlgExy3OmKu01y4mLrIZZ93\ni+7C0dhRLvsSxUTHBJ94fYIPIj/AmTfOtPuXw4PSB1h2ehnOvXkOsw/PxvXs6xg5QPQMNq5T2iP2\n2JxYBA8NxuOnj6W+cION3ldZdVmXL3Pm8XiIeScG+6bvw95pe1v9u/PeHRhpG3U5zo7iUi+ZS7pL\nXoy1jbHWdy0WnVwkt5toXbt8Te4nTl+21GMp8ivycSjlkMT1XtS/wKxDs/Dp2E8x3Hw4PvD4AN/H\nfi+TmKjH3gWxObEYPWA0xlqNxYVHF+S237KasjZH7J1h1scMzibObf5x/XJpwl0L3BZAXVUdP9/4\nWeb7YhgGj54+kutUR1HUVNTw8+SfsfTUUmyO3Sx2CuTK8yth0dcC73u8DwB42+1tnH1wFlnPsuQZ\nLmuUsrA3NDbgRu4NeJh7wM/aT+p2DCs9dhaO2LmoO/SSFaE75UWFp4Ltk7bjP1H/QV55nkz3VVBZ\nAI1BGnKfESPKyAEjcX3hdfya9CtmHZrVZqbM8fvHceTeEex6bZewXdNXoy/muc7Dj/E/sh4PzWPv\npJSiFPTv0x/6WvrwHeiLcw/PyW3fpdWlMNAykNv+COkIgbEA7w57Fx/+JdsHctwtvAuBsUAhM2JE\nGWQwCNcWXoOBlgHcf3ZHcn4yACD7WTaCTwRj37R9bX5uP/D4ADtv7pT7bCI2KGVhj82Jhae5JwBg\niNEQ1NTXtHv/FaDrva/qumowYKCl1v6Uxu6mu/SS5a075uUTr0+QkJsg06nAKUUp0MvXk9n2O0NT\nTRPbJ2/HGu818Nvjhx03dmDO4TkI8QzBaMvRbdYfqD8QY63GYnfyblbj4MT92LujloWdx+PBd6Av\nzj88D+th1jLdb3N/nStHKYSIoqWuha2TtmLWoVlw6OcAo95GMNY2hpG2EYx7G2OExYguzwaJyYnB\nQL2BLEXMrrnOc+HW3w0zD86ERV8LrBizQuy6ISNCEHwiGIvdF7eZocZl7UYaGhoKJycnODo6IjQ0\nFABw8OBBCAQCqKqq4ubNm2LHRkZGwsHBAba2ttiwQfrpfl0V+yQWnhaewmXfgb4496j9dkxXe1/K\n2l8HulcvWZ66a14CBgXg1uJb+DbgWyx0WwhPc0/oqOsg81kmJu+fjJznOZ3e9r2iezjz4AzWzFvD\nYsTsGmI0BImLEnF89nGJBdvL0gs6vXQQmRHJ2r7l8p1hJLh9+zbj6OjIVFdXM/X19Yyfnx+TkZHB\n3Lt3j7l//z7j4+PD3LhxQ+TY+vp6ZtCgQcyjR4+Y2tpaxsXFhUlJSWmzXjshdNjzmudM7696My/q\nXwhfe/z0MdPv635MQ2MDq/t62eXHl5lRO0fJdB+EyNqKsyuY+cfmd3r81D+mMl9f+ZrFiBTrt6Tf\nGP/f/BUdRhuSaqfEI/bU1FR4enpCU1MTqqqq8Pb2xpEjR+Dg4AA7O8lXP8bFxcHGxgZ8Ph/q6uqY\nPXs2wsPDWfyVJFpCbgJcTFzQS7WX8DVLXUvoa+rjdsFtiWO72vsSdXGSsuiOvWR5UMa8rPJahdPp\np3EzT/xf4+Jcz76O+Nx4LPNYpjS5eV3wOu4U3sGdwjusbE/h89gdHR1x+fJllJaWoqqqChEREXjy\n5IlUG87JycGAAX/fM9zCwgI5OZ3/805asTmxGGExos3rvtaynx2jzK0Y0nP01eiLz30+x//99X8d\nuvUtwzBYcW4FvvD5Qqp7InUXGmoaWOK+BKGxoYoORWoST546ODhgxYoVCAgIgLa2Ntzc3KCiIt0J\nhI6cQJw/fz74fD4AQE9PD66ursI+VPNvN2mXI85G4BX+K8JtN7/vN9APOxN3YljtMLHjfXx8Ory/\nlstlNWWoTKtEVFRUp+On5e613PwaV+Jha3nh2IXYEr8FX+35CmMsx0g1PiI9AtnJ2bCyshK+xpXP\n09XlxcMXw26LHRoeNuDZi2fQGKSBwspCPEp6hKq6KiR8lQDzvuZSb69ZR+KJiopCWFgYAAjrpTg8\npgO/kletWgVLS0ssXrwYADBu3Dhs2rQJQ4cObbNuTEwMPvvsM0RGNp10WLduHVRUVLBiResz0Dwe\nj7Ub4jMMA/NvzXFt4TXw9fit3iutLgX/ez6KPy5u1aZh05qoppNFn/vI92ZLhMjCmQdnsPTUUtx9\n7267PzMNjQ1w2e6Cdb7r8A/7f8gpQvn6/dbvuFt0VziLqHkm0ScXPkGQUxCCnILkGo+k2tnu4Xdh\nYdN9VrKysnD06FEEBbUOXtyG3d3dkZ6ejszMTNTW1uLAgQMIDAzsaOwd8uT5EzQwDbDStWrznoGW\nAewM7RD7JFbs+Jd/m3ZUWXUZDDSV8+KkruZGWSlzXgIGBcDWwBZb47e2u+7eW3uhp6mHyXaTha8p\nW27mOs/FWt+1+HDkh5jrPBf+g/zhauoK34G+uJJ1RertyCMv7Rb2GTNmQCAQIDAwEFu3bkXfvn1x\n9OhRDBgwADExMZg0aRImTJgAAMjNzcWkSZMAAGpqatiyZQvGjx+PIUOGYNasWRg8eLBMP0zz/HVx\nbSBfa1+Z3u2xtLqUeuxEqXwT8A3WXl6LkqoSsevU1Nfg04ufYoPfhh55Dcdoy9G4mn1V0WG00qFW\njEwCYLEVs/zscuhp6GH12NUi3z/z4Az+e+m/uPz2ZVb297JJ+yZh8bDFSvunKOmZlp5aCjUVNYS+\nKvrk4aZrm3A56zKOzT4m58i4oa6hDgZfGyD7w2zoacrvatsutWK6k5gnMa0uTHrZGMsxSMxLREVt\nhUz2T7NiiDL6zPsz7Lu9D/eL77d572nNU2y4ugFrfdcqIDJuUFdVh7uZO2KexCg6FCGlKex1DXVI\nzEvEcLPhYtfprd4bw82H49LjSyLf73KP/X9PT1JGytYvZUtPyIuRthE+HfspnLY5QXutdqt/pt+Y\nYsaQGSJvz9sTctNsjOUYqfvs8siL0twr5k7hHVjpWUFXU1fier4Dm/rsE20nsh6DMl+gRHq2Dzw/\nwDtD3xH5p39v9d4KiIhbRg8YjQ1X5XfblPYoTY99e8J2xOXEYddruySuF/MkBotOLkLy4uQu77Ml\nhmGg8aUGnv/7OTTVNFndNiGE257VPIPFdxYo/bgU6qrqctlnj+ixt7yjoyTuZu7IfJop8Sx/Z1TV\nVUFVRZWKOiE9kK6mLqz1rZGYn6joUAAoU2F/6Y6O4qipqMHV1FXk/4Cu9L6Uub8O9Kx+aUdQXsTr\nabmRts/OiXns3cGzmmfIfp4t9RPRh/Yf2qkbHElSVs3Os04JId3T6AHcmc+uFIU9PjcebqZuUFOR\n7lzwUNOhIo/YW97/o6OU/eKkruRGmVFexOtpuRljOQZXs662e85QHnlRisIubRummUyO2GvoiJ2Q\nnsxS1xLqqup4UPZA0aFws7DfL76PQymHpJotc+nxJfx046dWd3Rsj30/ezx5/gTlL8pbvd6lHruS\nX5zU0/ql0qK8iNcTczN6wGhczZLcjumxPfYdN3fg7fC34R3mLXya+Muq6qrw4V8fYvah2dgycQsm\n2E6QevtqKmpwMnZCcgF7Ux6V/eQpIaR9YyzH4Eq29DcEkxVOFvb43HgcnHkQbzi/gYC9AVh6ailK\nq0uF71/Pvg63n9yQX5GP20tuI9C+43eNFNWO6UrvS9lbMT2tXyotyot4PTE30hyx98gee0NjA27m\n3YSHuQfeHfYu7i29BwAY/ONg/JTwE1acW4GpB6biq1e+wv7p+2HY27BT+3EzdWO1z05XnRJCnEyc\nkFOew/p1Mh3FucKeVpIGY21jYVvDQMsAP078EX+98Rf+TPkTj8oe4daSW5gxZEaX9jO0f9uZMdRj\nF68n9kulQXkRryfmRk1FDZ7mnriWfU3sOj3yXjEJuQkib+TlauqK82+xdy91R2NHpJeko6a+hpWr\nRanHTggB/u6zK/L23Zw7Yo/PjYe7mbvM96OhpgE7QzvcLrgtfK1LPXYlv0CpJ/ZLpUF5Ea+n5qa9\nPjsneuyhoaFwcnKCo6MjQkObbrRfWloKf39/2NnZISAgAE+fPhU5ls/nw9nZGW5ubvDw8JAqoITc\nBLkUdoDd+ezKfoESIUQ6nhaeSMpPQk19jcJikFjY79y5g19++QXx8fFITk7GyZMn8eDBA6xfvx7+\n/v5IS0uDr68v1q9fL3I8j8dDVFQUEhMTERcX124w9Y31SC5IxtD+bR+OLQsv99m7eq8YZT5i74n9\nUmlQXsTrqbnR6aUDh34OuJF7Q+T7Cp/HnpqaCk9PT2hqakJVVRXe3t44fPgwjh8/jnnz5gEA5s2b\nh2PHxD8SqyO35E0pSoGlriX6avSVekxXsDUzhmEYPK15SkfshBAAHXvwhixIPHnq6OiI1atXo7S0\nFJqamjh16hTc3d1RUFAAExMTAICJiQkKCgpEjufxePDz84OqqioWLVqE4OBgkevNnz8ffD4fiXmJ\n0K7TRlRUlLAP1fzbTRbLLqYuuBV7C+cGnYPfK37w8fHp1Paq6qqgoaqBXqq9ZBovLXNvufk1rsTD\npeXO/jwpw/LoAaOx59Yese8368j2o6KiEBYWBqCpzS1Juw/a2LVrF7Zu3QptbW0IBAJoaGggLCwM\nZWVlwnUMDAxQWlraZmxeXh769++PoqIi+Pv7Y/PmzfDy8modQIubxS+JWAIHQwf8c8Q/JQbNpsE/\nDsafM/6Ek4lTp7eR9SwLo3eNRvaH2SxGRgjprnLLc+GwxQEzBTPbvGdrYIuVY1Z2eR9detDGggUL\nkJCQgOjoaOjr68POzg4mJibIz88H0FS8jY2NRY7t378/AMDIyAhTp05tt8+ekJuA4ebin1kqCy3b\nMS//NpVWT7g4qbO5UXaUF/F6cm7M+pghbEoYRlmMavVvqOlQfLXnK5nvv9157IWFhTA2NkZWVhaO\nHDmCmJgYPHr0CLt378aKFSuwe/duTJkypc24qqoqNDQ0oE+fPqisrMSZM2ewZs0asft5Uf8Cdwvv\nwtXUtWufqIOG9h+Km/k3MQ/zOr0NZb84iRDScdMGT2vzGsMwCPkpBC/qX0BDTUNm+273iH3GjBkQ\nCAQIDAzE1q1boauri5UrV+Ls2bOws7PDhQsXsHJl058Vubm5mDRpEgAgPz8fXl5ecHV1haenJyZP\nnoyAgACx+7ldeBs2BjZyfzDu0P5DkZjXNDOmZd+0I3rCxUmdzY2yo7yIR7lpi8fjwURggoJK0ecl\n2dLuEfulS5favGZgYIBz5861ed3MzAwREREAAGtrayQlJUkdiDznr7fkZuqGpPwkNDKNUOF17not\nZb84iRDCHlMdUxRUFMBS11Jm++DMlafibiUga/pa+jDsbYiM0oyu9diVvBXTk/ulklBexKPciKaW\npSbzI3ZOFXZFHLEDXb8CVdkvTiKEsEdfSx/5Ffky3QcnCntVXRXSStLgbOKskP03PwOVeuziUb9U\nNMqLeJQb0dxGuKGgogccsSfnJ2Ow0WCZniWWxK1/165ApR47IURaJtqyP3nKicKuqP56s+ZWzMWL\nFzs1vqxG+ac7Ur9UNMqLeJQb0UrulfSMVkxCnuL660DTWWoNVQ0UVhV2anxPuECJEMIOAy2DnnHE\nHp8jn3uwS+LW3w0agzrXCiqrph57T0V5EY9yI9p43/E9o8f++NljCIwECo2hKzNjekIrhhDCDhMd\nk57RinE2cYa6qrpCYxhqOhTnLrS96Ko9jUwjntU8g56mngyi4g7ql4pGeRGPciNackwyquurZfog\nDk4UdkW3YYCmVkxaSVqHx5W/KEdv9d5QU+Hc42MJIRzE4/FgrG2MwsrOndOTBjcKe3/FF3YrXStU\nW1Tj+YvnHRrXE646BahfKg7lRTzKjWg+Pj4w0ZZtO4YbhZ0DR+w8Hg+2BrbIKM3o0LiecHESIYRd\nzfeLkRVOFHaHfg6KDgEAoJev1+F2TE+5OIn6paJRXsSj3IgWFRUFEx3ZXqTEicawqoqqokMAAJj3\nNUd6SXqHxtCMGEJIR3WlFdPQ2IAvLn0hcR1OHLFzhf8r/kgr7dgRe0+5OIn6paJRXsSj3Ijm4+PT\n1IrpxBF7QUUBAvYG4PLjyxLXo8Legq2BbceP2HvAxUmEEHaZaJt0uMd+6fElDPt5GEYPGI2zb56V\nuG67hT00NBROTk5wdHREaGgoAKC0tBT+/v6ws7NDQEAAnj59KnJsZGQkHBwcYGtriw0bNnToQyhC\nUUpRx3vsPeSWvdQvFY3yIh7lRrTmHru0rZhGphHrr6zH6wdfxy+Bv+CLcV+0276WWNjv3LmDX375\nBfHx8UhOTsbJkyfx4MEDrF+/Hv7+/khLS4Ovry/Wr1/fZmxDQwOWLVuGyMhIpKSkYP/+/bh3755U\nH0RRdDV00cg0oqSqROox1GMnhHSUtHd4fFbzDIH7A3Ei7QTig+Pxqs2rUm1fYmFPTU2Fp6cnNDU1\noaqqCm9vbxw+fBjHjx/HvHlND3+eN28ejh071mZsXFwcbGxswOfzoa6ujtmzZyM8PFyqoBRl3Lhx\nsDO0Q3qp9O2YnjIrhvqlolFexKPciCbssUvRivn99u9gwCBqXhQG6A6Qeh8SZ8U4Ojpi9erVKC0t\nhaamJk6dOgV3d3cUFBTAxMQEAGBiYoKCgrYB5uTkYMCAvwOxsLBAbGysyP3Mnz8ffD4fAKCnpwdX\nV1fhl6L5zzl5LffN64vwv8IxYuEIqdZ/cPMBsuqyAEcoJF5apmVa7n7L3t7eqK6vxpnzZ9BLtZfY\n9S9GXYSVlhXUVdURFRWFsLAwABDWS7GYduzcuZMZNmwYM3bsWGbJkiVMSEgIo6en12odfX39NuMO\nHTrEvPPOO8LlPXv2MMuWLWuznhQhyM3FixeZNRfXMJ9c+ETqMUN/GsrE58TLMCpuuHjxoqJD4CTK\ni3iUG9Ga82LxrQWTWZYpcd3J+yYzR+8dFfmepNrZ7snTBQsWICEhAdHR0dDX14ednR1MTEyQn9/U\n+M/Ly4OxsXGbcebm5sjOzhYuZ2dnw8LCor3dKZydoV2HTqD2lFYMIYRd0kx5zCjNgI2BTYe33W5h\nLyxsulFNVlYWjhw5gqCgIAQGBmL37t0AgN27d2PKlCltxrm7uyM9PR2ZmZmora3FgQMHEBgY2OEA\n5cnHx6fDUx57ysnT5j8NSWuUF/EoN6I156W9i5QaGhuQ+TQT1vrWHd5Hu1eezpgxAyUlJVBXV8fW\nrVuhq6uLlStX4vXXX8fOnTvB5/Px559/AgByc3MRHByMiIgIqKmpYcuWLRg/fjwaGhqwcOFCDB48\nuMMByputoS3SS9PBMAx4PJ7EdRsaG1D+ohy6Grpyio4QoixMdCTPZc8pz4GBlgF6q/fu8LbbLeyX\nLl1q85qBgQHOnWt773IzMzNEREQIlydMmIAJEyZ0OChFiYqKgo+PD7TUtJBfkY/+ffpLXP/Zi2fo\no9GHM7dEkKXm3JDWKC/iUW5Ea85Le62YzrZhALryVCRppzxSf50Q0lnttWIelD6gws6G5qMLW0Nb\nqU6g9pT+OkD9UnEoL+JRbkRr2WOXeMReloFB+oM6tQ8q7CLYGtjSETshRKbau0iJWjEsab44QNop\nj6XVpT3mBmDNuSGtUV7Eo9yI1pyX9u4XQ60Ylkk75bEntWIIIeyS1IphGAYZpdSKYUVz78vGwAYP\nyh6gkWmUuH5PasVQv1Q0yot4lBvRmvOip6mHmvoa1NTXtFmnoLIAWupa0NXs3FRqKuwiaPfShqGW\nIbKfZUtcr6fcspcQwj4ejyf2vuxdacMAVNhbadkTbL5QSZKe1IqhfqlolBfxKDeitcyLuD57V06c\nAlTYxZLmBGpPOnlKCGGfuIuUujLVEaDC3krLnqA0Ux6px04oL+JRbkRrmRdqxciZNEfsPakVQwhh\nH7Vi5KBVj12KKY896Yid+qWiUV7Eo9yI1jIvptpiWjFdmOoIUGEXy1rfGlnPslDXUCd2nbKaMuqx\nE0I6zUSn7Vz20upSNDAN6Ne7X6e3S4W9hZa9Lw01DZj1MUPm00yR69Y31qOythJ9NPrIJzgFo36p\naJQX8Sg3or3cY3+5FdPcX2/vtuGSUGGXQNKUx6c1T6GrqQsVHqWQENI5ou7J3tU2DECFvZWXe4KS\nTqD2pP46QP1ScSgv4lFuRGvVYxcx3bGrJ04BKQr7unXrIBAI4OTkhKCgILx48QLJyckYOXIknJ2d\nERgYiPLycpFj+Xw+nJ2d4ebmBg8Pjy4FqgiSpjxSf50Q0lW6Grp4Uf8C1XXVwtcelHVtqiPQTmHP\nzDT4WRoAAAxNSURBVMzEjh07cPPmTdy+fRsNDQ34448/EBwcjK+//hq3bt3C1KlTsXHjRpHjeTwe\noqKikJiYiLi4uC4FKg8v9wQlHbEXVRb1qKmO1C8VjfIiHuVGtJZ54fF4MNY2bnXULvNWTN++faGu\nro6qqirU19ejqqoKZmZmSEtLg5eXFwDAz88Phw8fFrsNhmG6FKAiiZvy+KzmGT4+9zGmOkxVQFSE\nEGXy8n3Z2WjFSHzmqYGBAT766CNYWlpCS0sL48ePh7+/PwQCAcLDw/Haa6/h4MGDyM4WfbMsHo8H\nPz8/qKqqYtGiRQgODha53vz588Hn8wEAenp6cHV1Ff5Wa+5HyWO5Ze/Lx8cHVnpWyL2dizPnzyDA\nNwAAcP7Cefz7/L/hM9oHi4Ytkmt8ilxufo0r8XBl+fvvv1fY95Xryy9/dxQdD1eWk5KSEBISIlxW\ny1ITzow5ffY0ylLLhM9bfjmfYWFhACCsl2IxEmRkZDCDBw9miouLmbq6OmbKlCnM3r17mdTUVCYg\nIIAZNmwY8/nnnzOGhoYix+fm5jIMwzCFhYWMi4sLc+nSpTbrtBOCXF28eLHNa/ab7Zk7BXeEy0sj\nljIBewKYuoY6OUameKJyQygvklBuRHs5LwvDFzI/JfzEMAzDJOUlMYIfBVJtR1LtlNiKSUhIwKhR\no2BoaAg1NTVMmzYN165dg729Pf766y8kJCRg9uzZGDRIdD+of/+m3zpGRkaYOnUq5/vszb9VW2o5\n5XFz7GZczLyIP2f8CTUViX/sKB1RuSGUF0koN6K9nJeWrRg22jBAOz12BwcHxMTEoLq6GgzD4Ny5\ncxgyZAiKiooAAI2Njfjyyy+xZMmSNmOrqqqEs2UqKytx5swZODk5dTlgeWs+gXo6/TTWXlmLk3NO\ndvrm94QQ8jITbRPkVza1YtiYEQO0U9hdXFzw1ltvwd3dHc7OzgCA4OBg7Nu3D/b29hg8eDAsLCww\nf/58AEBubi4mTZoEAMjPz4eXlxdcXV3h6emJyZMnIyAgoMsBy1LLnmAzWwNbRKRHYN6xeTg08xAG\n6g+Uf2AcICo3hPIiCeVGtJfz0vIiJTZmxADtnDwFgI8//hgff/xxq9f++c9/4p///Gebdc3MzBAR\nEQEAsLa2RlJSUpcDVDQ7QztcenwJe6fuxWjL0YoOhxCiZFpepJRRmoGZQ2Z2eZu8/zXhFYbH43F6\nSmRtQy0uPrqI8TbjFR0KIUQJ3S++j8n7JyP9/XRYfmeJ6PnRUnUGJNVOuqVAO3qp9qKiTgiRmeZW\nTE19DQorCzFAd0CXt0mFvQXqCYpHuRGN8iIe5Ua0l/Oiq6GL2oZa3C28C0tdS1Zm3FFhJ4QQBeLx\neDDRMcG17GuszIgBqMdOCCEK57HDA9b61jDSNsLmCZulGkM9dkII4TBTHVNczb4KG312jtipsLdA\nPUHxKDeiUV7Eo9yIJiovJjomePL8CWutGCrshBCiYCbaJgBAPXZCCFEWW+K24IPTH6B6dTU01DSk\nGkM9dkII4TATbRNY6lpKXdTbQ4W9BeoJike5EY3yIh7lRjRReXEycUKgfSBr+6DCTgghCubQzwE/\nTPiBte1Rj50QQroh6rETQkgPQoW9BeoJike5EY3yIh7lRjR55KXdwr5u3ToIBAI4OTkhKCgIL168\nQHJyMkaOHAlnZ2cEBgYKn5T0ssjISDg4OMDW1hYbNmxgPXi2KcP942WFciMa5UU8yo1o8siLxMKe\nmZmJHTt24ObNm7h9+zYaGhrwxx9/IDg4GF9//TVu3bqFqVOnYuPGjW3GNjQ0YNmyZYiMjERKSgr2\n79+Pe/fuyeyDsOHp06eKDoGzKDeiUV7Eo9yIJo+8SCzsffv2hbq6OqqqqlBfX4+qqiqYmZkhLS0N\nXl5eAAA/Pz8cPny4zdi4uDjY2NiAz+dDXV0ds2fPRnh4uGw+Bdj58yYzM7PL2wDY+1OLje2wFQuX\ncsOl/HIpL2xth74zst0OW3mRRGJhNzAwwEcffQRLS0uYmZlBT08P/v7+EAgEwiJ98OBBZGdntxmb\nk5ODAQP+vmG8hYUFcnJyWA7/b2wknK0/kbj0JWIrFi7lhkv55VJe2NoOfWdkux25tKgYCTIyMpjB\ngwczxcXFTF1dHTNlyhRm7969TGpqKhMQEMAMGzaM+fzzzxlDQ8M2Yw8dOsS88847wuU9e/Ywy5Yt\na7MeAPpH/+gf/aN/nfgnjsRHdSQkJGDUqFEwNDQEAEybNg3Xrl3D3Llz8ddffwEA0tLShA+wbsnc\n3LzVkXx2djYsLCzarEdz2AkhhF0SWzEODg6IiYlBdXU1GIbBuXPnMGTIEBQVFQEAGhsb8eWXX2LJ\nkiVtxrq7uyM9PR2ZmZmora3FgQMHEBjI3iWzhBBCRJNY2F1cXPDWW2/B3d0dzs7OAIDg4GDs27cP\n9vb2GDx4MCwsLDB//nwAQG5uLiZNmgQAUFNTw5YtWzB+/HgMGTIEs2bNwuDBg2X7aQghhEho0iiB\nrKwsxsfHhxkyZAgjEAiY0NBQhmEYpqSkhPHz82NsbW0Zf39/pqysTDhm7dq1jI2NDWNvb8/89ddf\nwtf/+OMPxtnZmREIBMyKFSvk/lnY1tHclJSUMD4+PoyOjk6bcyUJCQmMo6MjY2Njw3zwwQdy/yxs\nYzM3q1atYgYMGMDo6OjI/XOwja28VFVVMRMnTmQcHBwYgUDArFy5UiGfhy1sfl/Gjx/PuLi4MEOG\nDGEWLFjA1NbWdiompS7seXl5TGJiIsMwDFNeXs7Y2dkxKSkpzPLly5kNGzYwDMMw69evFxbqu3fv\nMi4uLkxtbS3z6NEjZtCgQUxjYyNTXFzMWFpaMsXFxQzDMMy8efOY8+fPK+ZDsaSjuamsrGSuXLnC\nbN++vc2Xcfjw4UxsbCzDMAwzYcIE5vTp03L8JOxjMzexsbFMXl6eUhR2tvJSVVXFREVFMQzDMLW1\ntYyXl1e3/s6w+X0pLy8X/vf06dOZPXv2dCompb6lgKmpKVxdXQEAOjo6GDx4MHJycnD8+HHMmzcP\nADBv3jwcO3YMABAeHo45c+ZAXV0dfD4fNjY2iI2NxcOHD2Frays8iezr6yty7n530tHc9O7dG6NH\nj4aGRuv7Refl5aG8vBweHh4AgLfeeks4prtiKzcA4OHhAVNTU/kFL0Ns5UVLSwve3t4AAHV1dQwd\nOlSmU6Fljc3vi46ODgCgrq4OtbW16NevX6diUurC3lJmZiYSExPh6emJgoICmJg0PYrKxMQEBQUF\nAJrOEbScuWNhYYHc3FzY2tri/v37ePz4Merr63Hs2DGRc/e7K2ly04zH47VazsnJaZUzc3Pzbv1D\n+rKu5EaZsZWXp0+f4sSJE/D19ZVpvPLCRl7Gjx8PExMTaGlp4dVXX+1UHD2isFdUVGD69OkIDQ1F\nnz59Wr3H4/H+v737dzUvDuMA/pbBIt0M6uYUUk6d4jJYLVZJGWQwkQ13cLe7GMx3NBlkYVeYlcgf\nYDAYKD9KShncK88d1Pmqe799u3zQPd/ntTl1Ts/z5jwnnz51/nlDPjw8oFQqIRaLIRAIwOFwQK/X\nX7Pkm7k0Gy3jbL4nKpf9fo94PI5cLge73X6FSm9LVC7tdhuz2Qy73Q6VSuWsWjQ/2D8+PhCNRpFI\nJBCJRAAcn57z+RzAcSnBYrEA+Lr3fjqdwmq1AgBCoRB6vR663S5cLhdkWb5xJ+L9JJu/sVqtmE6n\n6ufTzH4zEdlokchc0uk0ZFlGNpu9Wr23Ivr3YjAYEI1GMRgMzqpH04OdiJBMJqEoCp6fn9Xj4XBY\nfRJWKhX1iwiHw6jVanh/f8d4PMZoNFLXjpfLJQBgvV6jVCohlUrduBuxfprN6XmnHh8fYTKZ0O/3\nQUSoVqtfzvltRGWjNSJzeX19xWazwdvb23WLvgFRuWy3W8xmMwDHfzONRgM+n+/sojSr0+mQTqej\np6cn8nq95PV6qdls0mq1omAw+O12x2KxSE6nk2RZplarpR6Px+OkKAopikL1ev0e7Qh1TjY2m43M\nZjMZjUaSJImGwyER/dnu6HQ6KZPJ3KslYURm8/LyQpIkkV6vJ0mSqFAo3Kuti4nKZTKZkE6nI0VR\n1OuUy+U7dnYZUbksFgvy+/3k8XjI7XZTPp+nw+FwVk13fzUeY4wxsTS9FMMYY/8jHuyMMaYxPNgZ\nY0xjeLAzxpjG8GBnjDGN4cHOGGMa8wmp1kHOOKbJ5wAAAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x4ad0350>"
]
},
{
"output_type": "display_data",
"png": 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fB4klJw9BUNCr8PQcyUt7jyov5x6hvmkTd1vt1KnA889zz0V75hnuNfqPSADg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\ngg==\n",
"text": [
"<matplotlib.figure.Figure at 0x4d2aad0>"
]
}
],
"prompt_number": 8
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The story in Canada is almost identical to the UK - Google holds onto a market share of around 90% with Bing edging out Yahoo in recent years for the #2 spot."
]
},
{
"cell_type": "heading",
"level": 4,
"metadata": {},
"source": [
"<img src=\"http://s3.amazonaws.com/i.o/flags/Russian+Federation.png\" style=\"padding-right:10px;\"></img>Russia"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"russia_df = makeDataFrame('RU')\n",
"russia_df.plot(title='All companies in Russia')\n",
"pylab.show()\n",
"\n",
"russia_df['YANDEX RU'].plot(color='r', title='Yandex')\n",
"pylab.show()\n",
"\n",
"russia_df['Google'].plot(color='g', title='Google')\n",
"pylab.show()\n",
"\n",
"russia_df['bing'].plot(color='b')\n",
"russia_df['Yahoo!'].plot(color='y', title='Bing (Blue) and Yahoo! (Yellow)')\n",
"pylab.show()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "display_data",
"png": 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DSpavfXvg3j2gWzfg4kVmrBnKRW6XyNfW3t/fH2PHjgUAjB07Fn5F7RCrBjC/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\n",
"text": [
"<matplotlib.figure.Figure at 0x403f390>"
]
},
{
"output_type": "display_data",
"png": 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1Ux56yLUfJa0oKaHvjp3JL+7gNw7bru7200/ApEk0tffsWclIVHMaNybpYfVq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\nr78OVFYCTZpQfWtHA4QpKcC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"text": [
"<matplotlib.figure.Figure at 0x4aeb490>"
]
},
{
"output_type": "display_data",
"png": 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XlyMmJga9e/eGv78/jh+vn1F37NgxBARw98Zy0bTTUV+jRADT7HhUWCIAEOZJ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\nEihhEwRBGAn/B2N65JMjxJjXAAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x4d1dcd0>"
]
},
{
"output_type": "display_data",
"png": 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DEEil7nB3/7ehmwJzcxtYWXVBSUmcoZvCGGujTKbmDQBKpQxmZpZaalHL3L27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\nYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x4aea190>"
]
}
],
"prompt_number": 9
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Russia tells an interesting story as it is one of the only countries where Google has had consistent competition from another search engine, Yandex. Although Google is still the market leader, Yandex holds on to a respectable ~40% of the market. Bing and Yahoo have a smaller market share in Russia than other countries with a combined market share below 2%."
]
},
{
"cell_type": "heading",
"level": 4,
"metadata": {},
"source": [
"<img src=\"http://s3.amazonaws.com/i.o/flags/France.png\" style=\"padding-right: 10px\"></img>France"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"france_df = makeDataFrame('FR')\n",
"france_df.plot(title='All companies in France')\n",
"pylab.show()\n",
"\n",
"france_df['Google'].plot(color='g', title='Google')\n",
"pylab.show()\n",
"\n",
"france_df['bing'].plot(color='b')\n",
"france_df['Yahoo!'].plot(color='y', title='Bing (Blue) and Yahoo! (Yellow)')\n",
"pylab.show()\n",
"\n",
"france_df['Voila'].plot(color='k')\n",
"france_df['Ask Jeeves'].plot(color='r', title='Viola (Black) and Ask Jeeves (Red)')\n",
"pylab.show()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "display_data",
"png": 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nD3/4AwBr1671/BnwjBkzSEtLa9Jkrj3VNIlPzWlYbVfTNO6++24SExMBePzx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\ngg==\n",
"text": [
"<matplotlib.figure.Figure at 0x4d23250>"
]
},
{
"output_type": "display_data",
"png": 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pMFLuY+jyBVRF/Zr8q9j39Tax19TVIOVRCtysJa9P03TxVJHaF2NM5JOa9AHV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\nDIOdiMgybxrJ5//HPnMzAAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x4afd9d0>"
]
},
{
"output_type": "display_data",
"png": 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lJvSqbVJZWYno6GgsWrQIU6dOVdtXUVEBa2triMViHDhwAAsWLEBaWlrTE901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\nultw4ympAAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x4d2f950>"
]
},
{
"output_type": "display_data",
"png": 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TAx0dHbGnxcvLqFGjsHXrVoVPFM/NzcWJEycwadIkkeUtW7ZEQUGB0NbELMwh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\n",
"text": [
"<matplotlib.figure.Figure at 0x4d27f90>"
]
}
],
"prompt_number": 10
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"France is very similar to other EU countries as Google dominates while Bing and Yahoo fight it out, with Bing gaining slowly over the last few years."
]
},
{
"cell_type": "heading",
"level": 3,
"metadata": {},
"source": [
"Now make panel of data."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Here we'll build a panel of the data so we can create some cross-country comparisons within a search engine."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"panel = pd.Panel({country: makeDataFrame(country) for country in countries})"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 11
},
{
"cell_type": "heading",
"level": 4,
"metadata": {},
"source": [
"Google"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"panel['US']['Google'].plot(color='b')\n",
"panel['GB']['Google'].plot(color='g')\n",
"panel['FR']['Google'].plot(color='y')\n",
"panel['DE']['Google'].plot(color='r')"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "pyout",
"prompt_number": 12,
"text": [
"<matplotlib.axes.AxesSubplot at 0x4848890>"
]
},
{
"output_type": "display_data",
"png": 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WB3fvLkFW1l/w8fkF1tY+aueVSrORlfUXCgouQibLvT/lVSRnhaJMyVIEubwY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\n",
"text": [
"<matplotlib.figure.Figure at 0x4734910>"
]
}
],
"prompt_number": 12
},
{
"cell_type": "heading",
"level": 4,
"metadata": {},
"source": [
"Bing"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"panel['CN']['bing'].plot(color='r')\n",
"panel['US']['bing'].plot(color='b')\n",
"panel['GB']['bing'].plot(color='g')\n",
"panel['FR']['bing'].plot(color='y')\n",
"panel['DE']['bing'].plot(color='k')"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "pyout",
"prompt_number": 13,
"text": [
"<matplotlib.axes.AxesSubplot at 0x4d268d0>"
]
},
{
"output_type": "display_data",
"png": 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03+rMlewrmP/PfJyedBo2FtqNMOAathq5fBmYPp0tORx9pVRUin3J+7A5YTMS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\nMQAAAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x4b018d0>"
]
}
],
"prompt_number": 13
},
{
"cell_type": "heading",
"level": 4,
"metadata": {},
"source": [
"Yahoo!"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"panel['CN']['Yahoo!'].plot(color='r')\n",
"panel['US']['Yahoo!'].plot(color='b')\n",
"panel['GB']['Yahoo!'].plot(color='g')\n",
"panel['FR']['Yahoo!'].plot(color='y')\n",
"panel['DE']['Yahoo!'].plot(color='k')"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "pyout",
"prompt_number": 14,
"text": [
"<matplotlib.axes.AxesSubplot at 0x4d2f810>"
]
},
{
"output_type": "display_data",
"png": 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tqdOvS6lmAZvrkarhflEP941quIZtjtSwgM3hcKoPOgfsnJwcDBs2DM2aNUNI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\n9txgNB4AAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x4b01610>"
]
}
],
"prompt_number": 14
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Herfindahl Index"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"<p>The Herfindahl Index for each country in a period of time is defined as:</p>\n",
"\n",
"<div style=\"padding-left:10%;padding-top:15px;padding-bottom:15px;\">$H =\\sum_{i=1}^N s_i^2$</div>\n",
"\n",
"<p>where $s_{i}$ is the market share of search engine $i$ in a particular country. We need to compute the HHI in each month in each country. To do so, create a function to compute the HHI from the data:</p>"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"def get_hhi(dframe, drop_other=True):\n",
" # If true, drop the 'Other' group from the data.\n",
" # Dropping the 'Other' group is a good idea when calculating the HHI.\n",
" if drop_other == True:\n",
" dframe.pop('Other')\n",
" \n",
" HHI_VALS = []\n",
" for idx in dframe.iterrows():\n",
" shares = [s for s in idx[1] if s > 0]\n",
" sqr_shares = [s*s for s in shares]\n",
" hhi_val = sum(sqr_shares)\n",
" HHI_VALS.append({'month': idx[0], 'hhi': hhi_val})\n",
" dframeHHI = pd.DataFrame(HHI_VALS)\n",
" dframeHHI.index = pd.DatetimeIndex(dframeHHI.pop('month'))\n",
"\n",
" return dframeHHI['hhi']"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 15
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"See how much the HHI calculation is being thrown off by the <em>Others</em> category."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"us_df = makeDataFrame('US')\n",
"us_hhi_t = get_hhi(us_df, drop_other=False)\n",
"us_hhi_f = get_hhi(us_df, drop_other=True)\n",
"us_hhi_f.plot(color='b')\n",
"us_hhi_t.plot(color='r')"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "pyout",
"prompt_number": 16,
"text": [
"<matplotlib.axes.AxesSubplot at 0x4f7fc50>"
]
},
{
"output_type": "display_data",
"png": 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qQYwNtpvPk5qaSvTCeL6kjdY//J0bn73dpPEKjv+XtgWP0YWh9sdcIvnPo28z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\n",
"text": [
"<matplotlib.figure.Figure at 0x4af9190>"
]
}
],
"prompt_number": 16
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Print some basic summary statistics."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"for searchengine in ['Google', 'bing', 'Yahoo!']:\n",
" print '%s mean var \\n%s' % (searchengine, '='*18)\n",
" for country in ['US', 'GB', 'CA', 'DE', 'FR', 'CN', 'RU']:\n",
" tmpdf = panel[country][searchengine]\n",
" print '%s: %.3f %.3f' % (country, tmpdf.mean(), tmpdf.var())\n",
" print '\\n'"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Google mean var \n",
"==================\n",
"US: 79.788 1.445\n",
"GB: 91.371 1.106\n",
"CA: 91.504 0.983\n",
"DE: 96.225 1.232\n",
"FR: 94.865 0.886\n",
"CN: 41.062 598.092\n",
"RU: 55.675 12.137\n",
"\n",
"\n",
"bing mean var \n",
"==================\n",
"US: 7.314 13.196\n",
"GB: 3.281 3.095\n",
"CA: 3.934 4.371\n",
"DE: 1.255 0.631\n",
"FR: 1.986 1.136\n",
"CN: 0.863 0.804\n",
"RU: 0.755 0.152\n",
"\n",
"\n",
"Yahoo! mean var \n",
"==================\n",
"US: 9.798 2.320\n",
"GB: 2.932 0.744\n",
"CA: 3.041 0.681\n",
"DE: 1.153 0.029\n",
"FR: 1.467 0.204\n",
"CN: 1.889 1.620\n",
"RU: 0.849 0.177\n",
"\n",
"\n"
]
}
],
"prompt_number": 18
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Now make a DataFrame with the HHI of every country. This one-liner creates a pandas DataFrame by passing it a dictionary whose keys are country names (strings) and values are the HHI value of each country (floats) using the *get_hhi* function defined earlier. *get_hhi* "
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"hhi_df = pd.DataFrame({country: get_hhi(makeDataFrame(country)) for country in countries})\n",
"hhi_df.plot()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "pyout",
"prompt_number": 19,
"text": [
"<matplotlib.axes.AxesSubplot at 0x5228c10>"
]
},
{
"output_type": "display_data",
"png": 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T/p6eTDtxgn9HRNR+sEYje9+2JDAQHn9cFoNB5j/q1Em6jurAqpwcVufmsqdH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\n",
"text": [
"<matplotlib.figure.Figure at 0x4850b50>"
]
}
],
"prompt_number": 19
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"And there you have it. Want competition in the search engine market? Go to Russia!"
]
}
],
"metadata": {}
}
]
}
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