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@sonalisharma
Created December 12, 2013 05:51
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Final Project deliverable for AYY250 - Python for computing Data Sciences, UC Berkeley
This file has been truncated, but you can view the full file.
{
"metadata": {
"name": ""
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Predicting factors determining success or failures of crowd funded projects.\n",
"\n",
"By - Sayantan Mukhopadhayay, Sonali Sharma"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import numpy as np\n",
"import math\n",
"%pylab inline\n",
"from sklearn import neighbors\n",
"from sklearn import preprocessing\n",
"import pandas as pd\n",
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"from geopy import geocoders \n",
"import json, math\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Populating the interactive namespace from numpy and matplotlib\n"
]
},
{
"output_type": "stream",
"stream": "stderr",
"text": [
"WARNING: pylab import has clobbered these variables: ['clf', 'split']\n",
"`%pylab --no-import-all` prevents importing * from pylab and numpy\n"
]
}
],
"prompt_number": 212
},
{
"cell_type": "heading",
"level": 3,
"metadata": {},
"source": [
"Reading data"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"filename =\"newdata_1200.csv\"\n",
"data = pd.read_csv(\"Data/\"+filename,sep = \"\\t\",header=0)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 213
},
{
"cell_type": "heading",
"level": 3,
"metadata": {},
"source": [
"Displaying basic statistics"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"print data.columns\n",
"print \"------------------\"\n",
"print \"Number of Features: %s \" %(len(data.columns))"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Index([sno, Title, Headline, ShortDesc, Category, Location, Country, US, Distance, Count_update, Count_comment, Count_funder, Count_photo, Amount_goal, Amount_Raised, Amount_currency, Ratio, Time_Left, Current, Type, Start_year, Start_month, Start_day, End_year, End_month, End_day, Duration, Min_perk, No_min_perk, Max_perk, No_max_perk, Median_perk, No_med_perk, Total_perk, FB_like, FB_talking, Tweet_follow, Tweet_status, Youtube_avg_duration, Youtube_avg_view_count, Youtube_avg_rating], dtype=object)\n",
"------------------\n",
"Number of Features: 41 \n"
]
}
],
"prompt_number": 214
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"print \"Number of projects: %s\" %(len(data))\n",
"print \"Amount of money raised: %s\" %(data['Amount_Raised'].sum())\n",
"countries = list(data['Country'].unique())\n",
"print \"Number of unique countries: %s\" %(len(countries))\n",
"location = list(data['Location'].unique())\n",
"print \"Number of unique locations: %s\" %(len(location))"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Number of projects: 1841\n",
"Amount of money raised: 19804732\n",
"Number of unique countries: 75\n",
"Number of unique locations: 885\n"
]
}
],
"prompt_number": 215
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"d = data['Country'].value_counts()[:20]\n",
"d.plot(kind=\"bar\",title=\"#Projects by country\",color=\"blue\")"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 216,
"text": [
"<matplotlib.axes.AxesSubplot at 0x108cf07d0>"
]
},
{
"metadata": {},
"output_type": "display_data",
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YmBhNNssYY0yEmuo2/Prrr2FkZIShQ4cCQJn1n8IaekmV1cgDAgJgampabI0CgLzY/6hg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\nwOwmmgAAAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x108cf0890>"
]
}
],
"prompt_number": 216
},
{
"cell_type": "heading",
"level": 4,
"metadata": {},
"source": [
"Droping redundant columns from dataset"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"data = data.drop('sno',1)\n",
"data = data.drop('Title',1)\n",
"data = data.drop('Headline',1)\n",
"data = data.drop('ShortDesc',1)\n",
"data = data.drop('Category',1)\n",
"data = data.drop('US',1)\n",
"data = data.drop('Current',1)\n",
"data = data.drop('Amount_currency',1)\n",
"data = data.drop('Distance',1)\n",
"data = data.drop('Tweet_follow',1)\n",
"data = data.drop('Tweet_status',1)\n",
"data = data.drop('Start_year',1)\n",
"data = data.drop('End_year',1)\n",
"data = data.drop('Start_day',1)\n",
"data = data.drop('End_day',1)\n",
"#data = data.drop('Amount_goal',1)\n",
"#data = data.drop('Amount_Raised',1)\n",
"data = data.drop('Time_Left',1)\n",
"\n",
"#Storing amount raised in a variable and then deleting it\n"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 217
},
{
"cell_type": "heading",
"level": 4,
"metadata": {},
"source": [
"Recoding variables"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"data = data.fillna(0)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 218
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"def checkus(location):\n",
" if (str(location).strip()=='United States'):\n",
" return 1\n",
" else:\n",
" return 0 \n",
"data['US'] = data['Country'].apply(checkus)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 219
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"def changetype(prjtype):\n",
" if ('Fixed Funding' in prjtype):\n",
" return 1\n",
" else:\n",
" return 0\n",
"data['newtype'] = data['Type'].apply(changetype)\n",
"data = data.drop('Type',1)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 220
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#1 (>2) - highly successful , 2 (>=1 <2) - successful , 3 (>=0.75 <1) Almost Successful , 4 (>=0.4 <0.75) Moderate, 5 (<0.4) Not\n",
"def setstatus(ratio):\n",
" if (ratio>=1):\n",
" return 1\n",
" # if (ratio>=1 and ratio<2):\n",
" #return 2\n",
" if (ratio>=0.5 and ratio <1):\n",
" return 2\n",
" #if (ratio>=0.33 and ratio <0.66):\n",
" # return 4\n",
" if (ratio<0.5):\n",
" return 3\n",
" \n",
"data['status'] = data['Ratio'].apply(setstatus)\n",
"#To be used later\n",
"status = data['status']\n",
"ratio = data['Ratio']\n",
"data = data.drop('Ratio',1)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 221
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Gettig geolocation latitude and longitude of all location in dataset, this step was exceuted only\n",
"#once for initial data collection. Resulting latitude and longitude wa stored in loclatlondict dictionary\n",
"#This was done due to rate limitation in geocoder api.\n",
"\n",
"#loclatlondict = {}\n",
"def getgeo(location):\n",
" try:\n",
" l=location.strip()\n",
" g = geocoders.GoogleV3()\n",
" if l is None:\n",
" loclatlondict[location]=(None,None)\n",
" #return \"%s: %.5f, %.5f\" % (location, None, None) \n",
" else: \n",
" place, (lat, lng) = g.geocode(l) \n",
" loclatlondict[location]=(lat,lng)\n",
" #return (location, lat, lng) \n",
" except:\n",
" loclatlondict['location']=(None,None)\n",
" #return (location, None, None)\n",
" "
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 222
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# Data received from method above getgeo\n",
"loclatlondict = {' 0irobi, Kenya ': (-1.2920659, 36.8219462),\n",
" ' 0ntucket, Massachusetts, United States ': (41.2834704, -70.099451),\n",
" ' 0pa, California, United States ': (40.0658594, -79.8863496),\n",
" ' 0shville, Tennessee, United States ': (35.5174913, -86.5804473),\n",
" ' 30344, Georgia, United States ': (33.6832181, -84.44877199999999),\n",
" ' Accra, Gha0 ': (5.5557169, -0.196306),\n",
" ' Allentown, Pennsylvania, United States ': (40.6084305, -75.4901833),\n",
" ' Amboy, Illinois, United States ': (41.71419969999999, -89.3287061),\n",
" ' Amsterdam, Netherlands ': (52.3702157, 4.895167900000001),\n",
" ' Appleton, United States ': (44.2619309, -88.41538469999999),\n",
" ' Asheville, North Caroli0, United States ': (35.5950581, -82.5514869),\n",
" ' Atlanta, Georgia, United States ': (33.7489954, -84.3879824),\n",
" ' Auckland, New Zealand ': (-36.8484597, 174.7633315),\n",
" ' Austin, Texas, United States ': (30.267153, -97.7430608),\n",
" ' Baltimore, Maryland, United States ': (39.2903848, -76.6121893),\n",
" ' Baltimore, United States ': (39.2903848, -76.6121893),\n",
" ' Barberton, Ohio, United States ': (41.012833, -81.6051221),\n",
" ' Bay City, Michigan, United States ': (43.5944677, -83.8888647),\n",
" ' Bedford, New Hampshire, United States ': (42.9463291,-71.51320079999999),\n",
" ' Bend, Oregon, United States ': (44.0581728, -121.3153096),\n",
" ' Berea, Ohio, United States ': (41.3661614, -81.8543026),\n",
" ' Berkeley, California, United States ': (37.8715926, -122.272747),\n",
" ' Bethlehem, Pennsylvania, United States ': (40.6259316,-75.37045789999999),\n",
" ' Beverly Hills, California, United States ': (34.0736204, -118.4003563),\n",
" ' Binghamton, New York, United States ': (42.09868669999999,-75.91797380000001),\n",
" ' Birmingham, Alabama, United States ': (33.5206608, -86.80248999999999),\n",
" ' Blaine, Minnesota, United States ': (45.1607987, -93.23494889999999),\n",
" ' Bloomington-Normal, Illinois, United States ': (40.4842027,-88.99368729999999),\n",
" ' Bluffton, South Caroli0, United States ': (32.2371465, -80.8603868),\n",
" ' Boone, North Caroli0, United States ': (36.216795, -81.6745517),\n",
" ' Boston, Massachusetts, United States ': (42.3584308, -71.0597732),\n",
" ' Boulder, CO, Colorado, United States ': (40.0149856, -105.2705456),\n",
" ' Boulder, Colorado, United States ': (40.0149856, -105.2705456),\n",
" ' Boulder, United States ': (40.0149856, -105.2705456),\n",
" ' Boyle Heights, California, United States ': (34.0297895, -118.2117257),\n",
" ' Bridgewater, Maine, United States ': (46.427822, -67.84335639999999),\n",
" ' Brookline, New Hampshire, United States ': (42.73481020000001,-71.6581267),\n",
" ' Brooklyn, New York, United States ': (40.65, -73.95),\n",
" ' Brunswick, Maine, United States ': (43.9140162, -69.9669961),\n",
" ' Burnsville, North Caroli0, United States ': (35.9173357, -82.300961),\n",
" ' Central Coast, Guatemala ': (15.783471, -90.23075899999999),\n",
" ' Champaign, Illinois, United States ': (40.1164204, -88.2433829),\n",
" ' Charleston, West Virginia, United States ': (38.3498195, -81.6326234),\n",
" ' Chetek, Wisconsin, United States ': (45.3141273, -91.6510007),\n",
" ' Chevy Chase, Maryland, United States ': (38.9949153, -77.0772052),\n",
" ' Chicago, Illinois, United States ': (41.8781136, -87.6297982),\n",
" ' Christiansburg, Virginia, United States ': (37.1298517, -80.4089389),\n",
" ' Cincin0ti, Ohio, United States ': (39.1031182, -84.5120196),\n",
" ' Cleveland, Ohio, United States ': (41.4994954, -81.6954088),\n",
" ' Cobble Hill, British Columbia, Ca0da ': (48.6883499, -123.6030889),\n",
" ' Columbus, Ohio, United States ': (39.9611755, -82.99879419999999),\n",
" ' Conway, Arkansas, United States ': (35.0886963, -92.4421011),\n",
" ' Coquitlam, British Columbia, Ca0da ': (49.2837626, -122.7932065),\n",
" ' Corte Madera, California, United States ': (37.9254806, -122.5274755),\n",
" ' Costa Mesa, California, United States ': (33.6411316, -117.9186689),\n",
" ' Covington, Kentucky, United States ': (39.0836712, -84.5085536),\n",
" ' Cramerton, North Caroli0, United States ': (35.2359757, -81.0717324),\n",
" ' Cusco, Peru ': (-13.525, -71.97222219999999),\n",
" ' Dallas, Texas, United States ': (32.7801399, -96.80045109999999),\n",
" ' Denver, Colorado, United States ': (39.737567, -104.9847179),\n",
" ' Detroit, Michigan, United States ': (42.331427, -83.0457538),\n",
" ' Drouin, Australia ': (-38.1362, 145.8571498),\n",
" ' Durham, North Caroli0, United States ': (35.9940329, -78.898619),\n",
" ' EUREKA, California, United States ': (40.8020712, -124.1636729),\n",
" ' Earlville, New York, United States ': (42.7397917, -75.54518039999999),\n",
" ' Eastport, Maine, United States ': (44.9061906, -66.98997849999999),\n",
" ' Elberton, Georgia, United States ': (34.1112226, -82.8670839),\n",
" ' Encinitas, United States ': (33.0369867, -117.2919818),\n",
" ' Estacada, Oregon, United States ': (45.28956549999999, -122.3336963),\n",
" ' Farmingdale, New York, United States ': (40.7325997, -73.4454009),\n",
" ' Ferndale, Michigan, United States ': (42.4605917, -83.1346478),\n",
" ' Flint, Michigan, United States ': (43.0125274, -83.6874562),\n",
" ' Fort Ann, New York, United States ': (43.4142375, -73.48761240000002),\n",
" ' Fort Lauderdale, Florida, United States ': (26.1224386,-80.13731740000001),\n",
" ' Fort Wayne, India0, United States ': (41.079273, -85.1393513),\n",
" ' Framingham, Massachusetts, United States ': (42.279286, -71.4161565),\n",
" ' Gainesville, Florida, United States ': (29.6516344, -82.32482619999999),\n",
" ' Geneva, Switzerland ': (46.1983922, 6.142296099999999),\n",
" ' Gleisdorf, Austria ': (47.1068416, 15.7085092),\n",
" ' Gloucester, Massachusetts, United States ': (42.6159285, -70.6619888),\n",
" ' Half Moon Bay, California, United States ': (37.4635519, -122.4285862),\n",
" ' Harrisburg, Pennsylvania, United States ': (40.2737002, -76.8844179),\n",
" ' Harrisonburg, Virginia, United States ': (38.4495688, -78.8689155),\n",
" ' Hoboken, New Jersey, United States ': (40.7439905, -74.0323626),\n",
" ' Houston, Texas, United States ': (29.7601927, -95.36938959999999),\n",
" ' Jackson, Mississippi, United States ': (32.2987573, -90.1848103),\n",
" ' Jacksonville, Florida, United States ': (30.3321838, -81.65565099999999),\n",
" ' Jersey City, New Jersey, United States ': (40.72815749999999,-74.0776417),\n",
" ' Jouy-en-Josas, France ': (48.76454500000001, 2.169007),\n",
" ' Kalamazoo, Michigan, United States ': (42.2917069, -85.5872286),\n",
" ' Kampala, Uganda ': (0.3136111, 32.5811111),\n",
" ' Keenesburg, Colorado, United States ': (40.1083158, -104.5199585),\n",
" ' Kettleman City, California, United States ': (36.0082864, -119.9617998),\n",
" ' Knoxville, Tennessee, United States ': (35.9606384, -83.9207392),\n",
" ' Koforidua, Gha0 ': (6.087480999999999, -0.26245),\n",
" ' K\\xc3\\xb6ln, Germany ': (50.937531, 6.9602786),\n",
" ' Lafayette, Louisia0, United States ': (30.2240897, -92.0198427),\n",
" ' Lagunitas, California, United States ': (38.0113119, -122.7022085),\n",
" ' Lake Mills, Wisconsin, United States ': (43.0813888,-88.91177420000001),\n",
" ' Las Vegas, Nevada, United States ': (36.114646, -115.172816),\n",
" ' Lincolnton, North Caroli0, United States ': (35.473745, -81.2545251),\n",
" ' Liverpool, New York, United States ': (43.106456, -76.21770459999999),\n",
" ' London, United Kingdom ': (51.51121389999999, -0.1198244),\n",
" ' Long Beach, New York, United States ': (40.5884373,-73.65790799999999),\n",
" ' Longboat Key, Florida, United States ': (27.4125417, -82.6589881),\n",
" ' Los Altos, California, United States ': (37.3852183, -122.1141298),\n",
" ' Los Angeles, California, United States ': (34.0522342, -118.2436849),\n",
" ' Los Osos, California, United States ': (35.3225075, -120.8310244),\n",
" ' Lyantonde, Uganda ': (-0.4069444, 31.1575),\n",
" ' Lynchburg, Virginia, United States ': (37.4137536, -79.14224639999999),\n",
" ' Malvern, Pennsylvania, United States ': (40.0362184, -75.5138118),\n",
" ' Maricopa, Arizo0, United States ': (33.0581063, -112.0476423),\n",
" ' Martell, Nebraska, United States ': (40.6375021, -96.7586323),\n",
" ' Mesa, Arizo0, United States ': (33.4151843, -111.8314724),\n",
" ' Miami, Florida, United States ': (25.7889689, -80.2264393),\n",
" ' Middleton, Wisconsin, United States ': (43.09721740000001, -89.5042876),\n",
" ' Millbrook, New York, United States ': (41.7850937, -73.6940175),\n",
" ' Milwaukee, Wisconsin, United States ': (43.0389025, -87.9064736),\n",
" ' Minneapolis, Minnesota, United States ': (44.983334, -93.26666999999999),\n",
" ' Monroe, Washington, United States ': (47.8553772, -121.9709579),\n",
" ' Montpelier, Vermont, United States ': (44.26005929999999, -72.5753869),\n",
" ' Montreal, Quebec, Ca0da ': (45.5086699, -73.55399249999999),\n",
" ' Montr\\xc3\\xa9al, Quebec, Ca0da ': (45.5086699, -73.55399249999999),\n",
" ' Morell, Prince Edward Island, Ca0da ': (46.4159891, -62.70597029999999),\n",
" ' Morgantown, West Virginia, United States ': (39.629526,-79.95589679999999),\n",
" ' Mountain View, California, United States ': (37.3860517, -122.0838511),\n",
" ' Muncie, India0, United States ': (40.1933767, -85.3863599),\n",
" ' Murfreesboro, Tennessee, United States ': (35.8456213, -86.39027),\n",
" ' New Orleans, Louisia0, United States ': (29.95106579999999, -90.0715323),\n",
" ' New Windsor, New York, United States ': (41.4767605,-74.02375180000001),\n",
" ' New York City, New York, United States ': (40.7143528,-74.00597309999999),\n",
" ' New York, New York, United States ': (40.7143528, -74.00597309999999),\n",
" ' Newton, Massachusetts, United States ': (42.3370413, -71.20922139999999),\n",
" ' Newtown, Pennsylvania, United States ': (40.2283371, -74.9322596),\n",
" ' North Fork, California, United States ': (37.2293765, -119.5093812),\n",
" ' Northampton, Massachusetts, United States ': (42.3250896,-72.64120129999999),\n",
" ' Northborough, Massachusetts, United States ': (42.3195556, -71.6411997),\n",
" ' Northeast, California, United States ': (34.0409855, -118.479097),\n",
" ' Noti, Oregon, United States ': (44.05901129999999, -123.4487105),\n",
" ' Novato, California, United States ': (38.1074198, -122.5697032),\n",
" ' Oakland, Berkeley, SF Bay Area, California, United States ': (37.71119360000001,-122.1460756),\n",
" ' Oakland, California, United States ': (37.8043637, -122.2711137),\n",
" ' Olympia, Washington, United States ': (47.0378741, -122.9006951),\n",
" ' Onto0gon, Michigan, United States ': (46.8710525, -89.31403019999999),\n",
" ' Ottawa, Ontario, Ca0da ': (45.4215296, -75.69719309999999),\n",
" ' Overland Park, Kansas, United States ': (38.9822282, -94.6707917),\n",
" ' PORTLAND, Oregon, United States ': (45.5234515, -122.6762071),\n",
" ' Park Slope, Brooklyn, New York, United States ': (40.6681669, -73.9800645),\n",
" ' Philadelphia, Pennsylvania, United States ': (39.952335,-75.16378900000001),\n",
" ' Phoenix, Arizo0, United States ': (33.4483771, -112.0740373),\n",
" ' Pine Ridge, South Dakota, United States ': (43.02554079999999, -102.5562743),\n",
" ' Plainfield, Illinois, United States ': (41.615915, -88.20406899999999),\n",
" ' Plantation, Florida, United States ': (26.1275862, -80.23310359999999),\n",
" ' Pontiac, Michigan, United States ': (42.6389216, -83.29104679999999),\n",
" ' Portland, Maine, United States ': (43.66147100000001, -70.2553259),\n",
" ' Portland, Oregon, United States ': (45.5234515, -122.6762071),\n",
" ' Providence, Rhode Island, United States ': (41.8239891, -71.4128343),\n",
" ' Puyallup, Washington, United States ': (47.1853785, -122.2928974),\n",
" ' Raleigh, North Caroli0, United States ': (35.7795897, -78.6381787),\n",
" ' Redding, California, United States ': (40.5865396, -122.3916754),\n",
" ' Richmond, Virginia, United States ': (37.5407246, -77.4360481),\n",
" ' Ridgewood, New Jersey, United States ': (40.9792645,-74.11653129999999),\n",
" ' River Falls, WI, Wisconsin, United States ': (44.8613563, -92.6238082),\n",
" ' Rochelle, Virginia, United States ': (38.2904083, -78.2725049),\n",
" ' Rochester, Minnesota, United States ': (44.0234, -92.46294999999999),\n",
" ' Rockport, Texas, United States ': (28.0205733, -97.0544341),\n",
" ' Rome, Italy, Italy ': (41.8929163, 12.4825199),\n",
" ' Rotterdam, Netherlands ': (51.92421599999999, 4.481776),\n",
" ' Sacramento, California, United States ': (38.5815719, -121.4943996),\n",
" ' Salt Lake City, Utah, United States ': (40.7607793, -111.8910474),\n",
" ' San Anselmo, California, United States ': (37.9746458, -122.5616448),\n",
" ' San Antonio, Texas, United States ': (29.4241219, -98.49362819999999),\n",
" ' San Diego, California, United States ': (32.7153292, -117.1572551),\n",
" ' San Francisco, California, United States ': (37.7749295, -122.4194155),\n",
" ' San Jose, California, United States ': (37.3393857, -121.8949555),\n",
" ' San Juan del Sur, Nicaragua ': (11.25263, -85.869652),\n",
" ' San, California, United States ': (32.7319, -117.197312),\n",
" ' Sandy, Utah, United States ': (40.57250000000001, -111.8597222),\n",
" ' Santa Cruz, California, United States ': (36.9741171, -122.0307963),\n",
" ' Santa Fe, United States ': (35.6869752, -105.937799),\n",
" ' Santa Rosa, California, United States ': (38.4404674, -122.7144314),\n",
" ' Saskatoon, Ca0da ': (52.1343699, -106.647656),\n",
" ' Sautee 0coochee, Georgia, United States ': (34.6839825,-83.67434999999999),\n",
" ' Savan0h, Georgia, United States ': (32.0835407, -81.09983419999999),\n",
" ' Seattle, Washington, United States ': (47.6062095, -122.3320708),\n",
" ' Sebastopol, California, United States ': (38.4021359, -122.8238806),\n",
" ' Seoul, Korea, Republic of ': (37.5318933, 126.9191163),\n",
" ' Siem Reap, Cambodia ': (13.3333333, 103.8333333),\n",
" ' Sierra Vista, Arizo0, United States ': (31.5455001, -110.2772856),\n",
" ' Siler City, North Caroli0, United States ': (35.7234734, -79.4622431),\n",
" ' Somerville, Massachusetts, United States ': (42.3875968, -71.0994968),\n",
" ' Sooke, British Columbia, Ca0da ': (48.3761111, -123.7377778),\n",
" ' South Bend, India0, United States ': (41.6790089, -86.2653012),\n",
" ' Southwestern, Virginia, United States ': (37.325278, -79.975278),\n",
" ' Spokane, Washington, United States ': (47.6587802, -117.4260466),\n",
" ' St. Louis, Missouri, United States ': (38.6270025, -90.19940419999999),\n",
" ' Starks, Maine, United States ': (44.7306156, -69.9661708),\n",
" ' Sturgeon Bay, Wisconsin, United States ': (44.8341639, -87.3770419),\n",
" ' Sun River, Monta0, United States ': (47.5332871, -111.7213719),\n",
" ' Sydney, Australia ': (-33.8674869, 151.2069902),\n",
" ' Syracuse, New York, United States ': (43.0481221, -76.14742439999999),\n",
" ' Tacoma, Washington, United States ': (47.2528768, -122.4442906),\n",
" ' Tormabum, Sierra Leone ': (7.4199402, -12.0065072),\n",
" ' Toronto, Ca0da ': (43.653226, -79.3831843),\n",
" ' Toronto, Ontario, Ca0da ': (43.653226, -79.3831843),\n",
" ' Trenton, New Jersey, United States ': (40.2170534, -74.7429384),\n",
" ' Tualatin, Oregon, United States ': (45.3840077, -122.7639851),\n",
" ' Tucson, Arizo0, United States ': (32.2217429, -110.926479),\n",
" ' Tulsa, Oklahoma, United States ': (36.1539816, -95.99277500000001),\n",
" ' Tulum, Mexico ': (20.2119444, -87.4658333),\n",
" ' Unity, Maine, United States ': (44.6111643, -69.3345032),\n",
" ' Vancouver, British Columbia, Ca0da ': (49.261226, -123.1139268),\n",
" ' Vernon Hills, Illinois, United States ': (42.21946860000001,-87.9795187),\n",
" ' Victoria, British Columbia, Ca0da ': (48.4284207, -123.3656444),\n",
" ' Washington, District of Columbia, United States ': (38.90723089999999,-77.0364641),\n",
" ' Watchung, New Jersey, United States ': (40.63788, -74.4509863),\n",
" ' Waterloo, New York, United States ': (42.9047884, -76.8627367),\n",
" ' West Hollywood, California, United States ': (34.0900091, -118.3617443),\n",
" ' Westfield, Maine, United States ': (46.5698715, -67.9226825),\n",
" ' Westport, Ireland ': (53.80213070000001, -9.514346699999999),\n",
" ' Wichita, Kansas, United States ': (37.68888889999999, -97.3361111),\n",
" ' Wien, Austria ': (48.2081743, 16.3738189),\n",
" ' Wilmington, North Caroli0, United States ': (34.2257255, -77.9447102),\n",
" ' Wolfsberg, Austria ': (46.8401, 14.84277),\n",
" ' Woodford, Virginia, United States ': (38.1131886, -77.4088708),\n",
" ' Woodstock, New York, United States ': (42.0409247, -74.1181971),\n",
" ' Zurich, Switzerland ': (47.3686498, 8.539182499999999),\n",
" ' long beach, California, United States ': (33.768321, -118.1956168),\n",
" ' oakland park, Florida, United States ': (26.1723065, -80.1319893),\n",
" '0ples, Florida, United States': (27.6648274, -81.5157535),\n",
" '91710, California, United States': (34.0120229, -117.6786847),\n",
" 'A0heim, California, United States': (33.8352932, -117.9145036),\n",
" 'Accra, Gha0': (5.5557169, -0.196306),\n",
" 'Adelaide, Australia': (-34.92862119999999, 138.5999594),\n",
" 'Agoura Hills, California, United States': (34.1533395, -118.7616764),\n",
" 'Akron, Ohio, United States': (41.0814447, -81.51900529999999),\n",
" 'Almere, Netherlands': (52.371353, 5.222124),\n",
" 'Alpharetta, Georgia, United States': (34.0753762, -84.2940899),\n",
" 'Alpharetta, United States': (34.0753762, -84.2940899),\n",
" 'Amsterdam, Netherlands': (52.3702157, 4.895167900000001),\n",
" 'Ann Arbor, Michigan, United States': (42.2808256, -83.7430378),\n",
" 'Arvada, Colorado, United States': (39.8027644, -105.0874842),\n",
" 'Ash Fork, Arizo0, United States': (35.2250114, -112.4840675),\n",
" 'Asheville, North Caroli0, United States': (35.5950581, -82.5514869),\n",
" 'Ashland, Oregon, United States': (42.1945758, -122.7094767),\n",
" 'Atlanta, Georgia, United States': (33.7489954, -84.3879824),\n",
" 'Aurora, Colorado, United States': (39.7294319, -104.8319195),\n",
" 'Aurora, India0, United States': (33.6966857, -116.2492905),\n",
" 'Austin, Texas, United States': (30.267153, -97.7430608),\n",
" 'Austria, Austria': (47.516231, 14.550072),\n",
" 'Baden, Switzerland': (47.4737667, 8.3064732),\n",
" 'Baden-Baden, Germany': (48.76564, 8.228524199999999),\n",
" 'Baltimore, Maryland, United States': (39.2903848, -76.6121893),\n",
" 'Bangalore, India': (12.9715987, 77.5945627),\n",
" 'Barcelo0, Spain': (41.3850639, 2.1734035),\n",
" 'Bari, Italy': (41.1171432, 16.8718715),\n",
" 'Bath, United Kingdom': (51.375801, -2.3599039),\n",
" 'Beijing, Chi0': (40.4478283, 116.2265448),\n",
" 'Beirut, Lebanon': (33.8886289, 35.4954794),\n",
" 'Belgrade, Serbia': (44.8205556, 20.4622222),\n",
" 'Belo Horizonte, Brazil': (-19.9190677, -43.9385747),\n",
" 'Bergamo, Italy': (45.6982642, 9.6772698),\n",
" 'Berkeley, California, United States': (37.8715926, -122.272747),\n",
" 'Berkeley, United States': (37.8715926, -122.272747),\n",
" 'Berkhamsted, United Kingdom': (51.75976600000001, -0.5678569000000001),\n",
" 'Berlin, Germany': (52.52000659999999, 13.404954),\n",
" 'Beverly Hills, California, United States': (34.0736204, -118.4003563),\n",
" 'Bietigheim-Bissingen, Germany': (48.9471605, 9.1305037),\n",
" 'Binghamton, New York, United States': (42.09868669999999,-75.91797380000001),\n",
" 'Birmingham, Alabama, United States': (33.5206608, -86.80248999999999),\n",
" 'Birmingham, United Kingdom': (52.48624299999999, -1.890401),\n",
" 'Blacksburg, Virginia, United States': (37.2295733, -80.4139393),\n",
" 'Bloomington, India0, United States': (39.1697028, -86.5236934),\n",
" 'Bodnegg, Germany': (47.7099377, 9.6890695),\n",
" 'Boise, Idaho, United States': (43.6187102, -116.2146068),\n",
" 'Bordentown, New Jersey, United States': (40.1480827, -74.69457369999999),\n",
" 'Boston, Massachusetts, United States': (42.3584308, -71.0597732),\n",
" 'Boulder City, Nevada, United States': (35.9782216, -114.8345117),\n",
" 'Boulder, Colorado, United States': (40.0149856, -105.2705456),\n",
" 'Boxtel, Netherlands': (51.601437, 5.3121773),\n",
" 'Brasschaat, Belgium': (51.29226999999999, 4.49419),\n",
" 'Bratislava, Slovakia': (48.1458923, 17.1071373),\n",
" 'Braunschweig, Germany': (52.2688736, 10.5267696),\n",
" 'Brighton, United Kingdom': (50.82253000000001, -0.137163),\n",
" 'Brooklyn via Newburgh, NY, New York, United States': (40.7143528,-74.00597309999999),\n",
" 'Brooklyn, New York, United States': (40.65, -73.95),\n",
" 'Brussels, Belgium': (50.8503396, 4.3517103),\n",
" 'Bucharest, Romania': (44.4325, 26.1038889),\n",
" 'Budapest, Hungary': (47.497912, 19.040235),\n",
" 'Buenos Aires, Argenti0': (-34.6037232, -58.3815931),\n",
" 'Buffalo, New York, United States': (42.88644679999999, -78.8783689),\n",
" 'Burlingame, California, United States': (37.5841026, -122.3660825),\n",
" 'Burlington, Vermont, United States': (44.4758825, -73.21207199999999),\n",
" 'Calcio, Italy': (45.50736819999999, 9.851878300000001),\n",
" 'Caldwell, New Jersey, United States': (40.8398218, -74.2765366),\n",
" 'Calgary, Alberta, Ca0da': (51.0453246, -114.0581012),\n",
" 'California, United States': (36.778261, -119.4179324),\n",
" 'Cambridge, Massachusetts, United States': (42.3736158, -71.10973349999999),\n",
" 'Cambridge, United Kingdom': (52.205337, 0.121817),\n",
" 'Canberra, Australia': (-35.2819998, 149.1286843),\n",
" 'Cancun, Mexico': (21.161908, -86.8515279),\n",
" 'Caorle, Italy': (45.6030238, 12.8859589),\n",
" 'Capalaba, Australia': (-27.5223491, 153.1913229),\n",
" 'Carbondale, Illinois, United States': (37.7272727, -89.2167501),\n",
" 'Cardston, Alberta, Ca0da': (49.1950663, -113.301798),\n",
" 'Carlsbad, California, United States': (33.1580933, -117.3505939),\n",
" 'Cary, North Caroli0, United States': (35.79154, -78.7811169),\n",
" 'Chapala, Mexico': (20.290624, -103.1947859),\n",
" 'Chapel Hill, North Caroli0, United States': (35.9131996, -79.0558445),\n",
" 'Charlotte, North Caroli0, United States': (35.2270869, -80.8431267),\n",
" 'Chattanooga, Tennessee, United States': (35.0456297, -85.3096801),\n",
" 'Chen0i, India': (13.0524139, 80.25082460000002),\n",
" 'Chesapeake, Virginia, United States': (36.7682088, -76.2874927),\n",
" 'Cheyenne, Wyoming, United States': (41.1399814, -104.8202462),\n",
" 'Chicago, Illinois, United States': (41.8781136, -87.6297982),\n",
" 'Chico, California, United States': (39.7284944, -121.8374777),\n",
" 'Chur, Switzerland': (46.85726210000001, 9.5267305),\n",
" 'Cincin0ti, Ohio, United States': (39.1031182, -84.5120196),\n",
" 'Clarkston, Michigan, United States': (42.7351196, -83.4192941),\n",
" 'Cleveland, Ohio, United States': (41.4994954, -81.6954088),\n",
" 'Cloudcroft, New Mexico, United States': (32.9573133, -105.7424855),\n",
" 'Colchester, United Kingdom': (51.895927, 0.8918740000000001),\n",
" 'College Park, Maryland, United States': (38.9896967, -76.93776),\n",
" 'Cologne, Germany': (50.937531, 6.9602786),\n",
" 'Columbia, Maryland, United States': (39.2037144, -76.86104619999999),\n",
" 'Columbia, Missouri, United States': (38.9517053, -92.3340724),\n",
" 'Columbus, Ohio, United States': (39.9611755, -82.99879419999999),\n",
" 'Conshohocken, Pennsylvania, United States': (40.0792766, -75.3015714),\n",
" 'Copenhagen, Denmark': (55.6760968, 12.5683371),\n",
" 'Coral Gables, Florida, United States': (25.72149, -80.2683838),\n",
" 'Culiacan, Mexico': (24.8048499, -107.385498),\n",
" 'Cupertino, California, United States': (37.3229978, -122.0321823),\n",
" 'Dahlonega, Georgia, United States': (34.5261465, -83.9843953),\n",
" 'Dallas, Texas, United States': (32.7801399, -96.80045109999999),\n",
" 'Dallas, United States': (32.7801399, -96.80045109999999),\n",
" 'Davie, Florida, United States': (26.0764783, -80.25211569999999),\n",
" 'Davis, California, United States': (38.5449065, -121.7405167),\n",
" 'Dayton, Ohio, United States': (39.7589478, -84.1916069),\n",
" 'Decazeville, France': (44.560317, 2.25183),\n",
" 'Deerfield Beach, Florida, United States': (26.3184123, -80.09976569999999),\n",
" 'Delft, Netherlands': (52.01157689999999, 4.3570677),\n",
" 'Denver, Colorado, United States': (39.737567, -104.9847179),\n",
" 'Didcot, United Kingdom': (51.60804400000001, -1.24484),\n",
" 'Diss, United Kingdom': (52.37649099999999, 1.108394),\n",
" 'District of Columbia, District of Columbia, United States': (38.90723089999999,-77.0364641),\n",
" 'District of Columbia, Washington, United States': (38.90723089999999,-77.0364641),\n",
" 'Dover, Delaware, United States': (39.158168, -75.5243682),\n",
" 'Dowagiac, Michigan, United States': (41.9842123, -86.10862279999999),\n",
" 'Draper, Utah, United States': (40.5246711, -111.8638226),\n",
" 'Dresden, Germany': (51.0504088, 13.7372621),\n",
" 'Dublin, Ireland': (53.3498053, -6.2603097),\n",
" 'Durango, Colorado, United States': (37.27528, -107.8800667),\n",
" 'Durham, North Caroli0, United States': (35.9940329, -78.898619),\n",
" 'D\\xc3\\xbcsseldorf, Germany': (51.2277411, 6.7734556),\n",
" 'Easley, South Caroli0, United States': (34.829838, -82.6015206),\n",
" 'Eden Prairie, Minnesota, United States': (44.8546856, -93.47078599999999),\n",
" 'Edison, New Jersey, United States': (40.5187154, -74.4120953),\n",
" 'Edmonton, Alberta, Ca0da': (53.544389, -113.4909267),\n",
" 'El Paso, Texas, United States': (31.7699559, -106.4968055),\n",
" 'Elmer, New Jersey, United States': (39.5951147, -75.1701819),\n",
" 'Encinitas, California, United States': (33.0369867, -117.2919818),\n",
" 'Eugene, Oregon, United States': (44.0520691, -123.0867536),\n",
" 'Evanston, Illinois, United States': (42.0450722, -87.68769689999999),\n",
" 'Fairfield, Iowa, United States': (41.0072222, -91.9658333),\n",
" 'Falls Church, Virginia, United States': (38.88233400000001, -77.1710914),\n",
" 'Farmington, Connecticut, United States': (41.7360305, -72.79502699999999),\n",
" 'Farnham, United Kingdom': (51.214321, -0.798802),\n",
" 'Fayetteville, New York, United States': (43.0297887, -76.00436429999999),\n",
" 'Florence, Italy': (43.7710332, 11.2480006),\n",
" 'Fort Collins, Colorado, United States': (40.5852602, -105.084423),\n",
" 'Fort Myers, United States': (26.640628, -81.8723084),\n",
" 'Fort Wayne, India0, United States': (41.079273, -85.1393513),\n",
" 'Foster City, California, United States': (37.5585465, -122.2710788),\n",
" 'Frankfurt/Main, Germany': (50.1109221, 8.6821267),\n",
" 'Fredericton, New Brunswick, Ca0da': (45.9635895, -66.6431151),\n",
" 'Fremont, California, United States': (37.5482697, -121.9885719),\n",
" 'Fresno, California, United States': (36.7468422, -119.7725868),\n",
" 'Ft. Lauderdale, Florida, United States': (26.1224386, -80.13731740000001),\n",
" 'Georgetown, District of Columbia, United States': (38.9097057,-77.06535650000001),\n",
" 'Georgetown, India0, United States': (38.3001494, -86.0181151),\n",
" 'Gold Coast, Australia': (-28.0172605, 153.4256987),\n",
" 'Goleta, California, United States': (34.4358294, -119.8276389),\n",
" 'Gorno-Altaysk, Russian Federation': (51.95, 85.95),\n",
" 'Grand Rapids, Michigan, United States': (42.9633599, -85.6680863),\n",
" 'Graz, Austria': (47.070714, 15.439504),\n",
" 'Greeley, Colorado, United States': (40.4233142, -104.7091322),\n",
" 'Greenville, North Caroli0, United States': (35.612661, -77.3663538),\n",
" 'Guayaquil, Ecuador': (-2.203816, -79.897453),\n",
" 'Gurnee, Illinois, United States': (42.3702996, -87.90201859999999),\n",
" 'G\\xc3\\xb6teborg, Sweden': (57.70887, 11.97456),\n",
" 'Halmstad, Sweden': (56.6743748, 12.8577884),\n",
" 'Hamburg, Germany': (53.5510846, 9.9936818),\n",
" 'Hanover, New Hampshire, United States': (43.7022451, -72.2895526),\n",
" 'Harker heights, Texas, United States': (31.0835102, -97.6597376),\n",
" 'Harrisburg, Pennsylvania, United States': (40.2737002, -76.8844179),\n",
" 'Hawthorne, California, United States': (33.9164032, -118.3525748),\n",
" 'Hayward, California, United States': (37.6688205, -122.0807964),\n",
" 'Helsinki, Finland': (60.17332440000001, 24.9410248),\n",
" 'Henderson, Colorado, United States': (39.9202178, -104.8660597),\n",
" 'Herning, Denmark': (56.138557, 8.967322),\n",
" 'Herrenberg, Germany': (48.5950369, 8.8671577),\n",
" 'Hesperia, California, United States': (34.4263886, -117.3008784),\n",
" 'Hillsboro, Oregon, United States': (45.5228939, -122.989827),\n",
" 'Hobe Sound, Florida, United States': (27.059498, -80.1364323),\n",
" 'Hoboken, New Jersey, United States': (40.7439905, -74.0323626),\n",
" 'Hokksund, Norway': (59.7707469, 9.910865099999999),\n",
" 'Hong Kong, Hong Kong': (22.396428, 114.109497),\n",
" 'Hoorn, Netherlands': (52.6423654, 5.0602124),\n",
" 'Houston, Texas, Texas, United States': (29.7601927, -95.36938959999999),\n",
" 'Houston, Texas, United States': (29.7601927, -95.36938959999999),\n",
" 'Hudson, Ohio, United States': (41.240056, -81.44066699999999),\n",
" 'Huelva, Spain': (37.261421, -6.9447224),\n",
" 'India0polis, India0, United States': (39.768403, -86.158068),\n",
" 'Irvine, California, United States': (33.6839473, -117.7946942),\n",
" 'Irving, Texas, United States': (32.8140177, -96.9488945),\n",
" 'Istanbul, Turkey': (41.00527, 28.97696),\n",
" 'Ithaca, New York, United States': (42.4439614, -76.5018807),\n",
" 'Jacksonville, Oregon, United States': (42.31345839999999, -122.9669865),\n",
" 'Jaco, Costa Rica': (9.6166667, -84.63333329999999),\n",
" 'Jersey City, New Jersey, United States': (40.72815749999999, -74.0776417),\n",
" 'Johannesburg, South Africa': (-26.2041028, 28.0473051),\n",
" 'Joppatowne, Maryland, United States': (39.4141718, -76.34638470000002),\n",
" 'Jyv\\xc3\\xa4skyl\\xc3\\xa4, Finland': (62.244747, 25.7472184),\n",
" 'Karmiel~Misgav, Israel': (32.918953, 35.296762),\n",
" 'Kennesaw, Georgia, United States': (34.0234337, -84.6154897),\n",
" 'Kigali, Rwanda': (-1.950106, 30.058769),\n",
" 'Kingston upon Thames, United Kingdom': (51.41233, -0.300689),\n",
" 'Kitchener-Waterloo, Ontario, Ca0da': (43.4534718, -80.5001242),\n",
" 'Kochi, Japan': (33.5597062, 133.5310786),\n",
" 'Kochkor, Kyrgyzstan': (42.20792, 75.750687),\n",
" 'Kuala Lumpur, Malaysia': (3.139003, 101.686855),\n",
" 'Kyiv, Ukraine': (50.4501, 30.5234),\n",
" 'LAVAL, France': (48.077863, -0.770138),\n",
" 'La Junta, Colorado, United States': (37.9850091, -103.5438321),\n",
" 'Lachute, Quebec, Ca0da': (45.6520586, -74.3398015),\n",
" 'Lagu0 Niguel, California, United States': (33.5225261, -117.7075526),\n",
" 'Lancaster, Pennsylvania, United States': (40.0378755, -76.3055144),\n",
" 'Lannion, France': (48.732084, -3.459144),\n",
" 'Lappenranta, Finland': (61.05494119999999, 28.1896259),\n",
" 'Las Vegas, Nevada, United States': (36.114646, -115.172816),\n",
" 'Las Vegas, United States': (36.114646, -115.172816),\n",
" 'Lausanne, Switzerland': (46.5199617, 6.633597099999999),\n",
" 'Lawrence, Kansas, United States': (38.9716689, -95.2352501),\n",
" 'Lawrenceville, New Jersey, United States': (40.3016375, -74.7361013),\n",
" 'Lehi, Utah, United States': (40.3916172, -111.8507662),\n",
" 'Leiden, Netherlands': (52.158494, 4.496199),\n",
" 'Lemitar, New Mexico, United States': (34.1596096, -106.9100192),\n",
" 'Leominster, Massachusetts, United States': (42.5250906, -71.759794),\n",
" 'Lexington, Kentucky, United States': (38.0405837, -84.5037164),\n",
" 'Lichfield District, United Kingdom': (52.6675081, -1.8172706),\n",
" 'Lisboa, Portugal': (38.7252993, -9.150036400000001),\n",
" 'London and Turin, Italy': (45.07098200000001, 7.685676),\n",
" 'London, Ohio, United States': (39.8864493, -83.4482529),\n",
" 'London, Ontario, Ca0da': (42.9869502, -81.243177),\n",
" 'London, United Kingdom': (51.51121389999999, -0.1198244),\n",
" 'Lorca, Murcia, Spain': (37.6735925, -1.6968357),\n",
" 'Los Angeles, California, United States': (34.0522342, -118.2436849),\n",
" 'Los Gatos, California, United States': (37.2358078, -121.9623751),\n",
" 'Lusaka, Zambia': (-15.408193, 28.287167),\n",
" 'Madison, Wisconsin, United States': (43.0730517, -89.4012302),\n",
" 'Maitland, Florida, United States': (28.6277767, -81.36312439999999),\n",
" 'Malm\\xc3\\xb6, Sweden': (55.604981, 13.003822),\n",
" 'Manchester, New Hampshire, United States': (42.9956397, -71.4547891),\n",
" 'Manchester, United Kingdom': (53.479324, -2.2484851),\n",
" 'Mannheim, Germany': (49.4874592, 8.466039499999999),\n",
" 'Maplewood, New Jersey, United States': (40.7299793, -74.271992),\n",
" 'Marbella, Spain': (36.510071, -4.8824474),\n",
" 'Marlboro, New Jersey, United States': (40.3380949, -74.26872910000002),\n",
" 'Marseille, France': (43.296482, 5.36978),\n",
" 'Marston Mag0, United Kingdom': (45.551747, -70.946732),\n",
" 'Massa (MS), Italy': (44.0353943, 10.1393443),\n",
" 'McKinney, Texas, United States': (33.1972465, -96.6397822),\n",
" 'Melbourne, Australia': (-37.814107, 144.96328),\n",
" 'Melbourne, Florida, United States': (28.0836269, -80.60810889999999),\n",
" 'Memphis, Tennessee, United States': (35.1495343, -90.0489801),\n",
" 'Menlo Park, California, United States': (37.4538274, -122.1821871),\n",
" 'Mesa, Arizo0, United States': (33.4151843, -111.8314724),\n",
" 'Miami Beach, United States': (25.790654, -80.1300455),\n",
" 'Miami, Florida, United States': (25.7889689, -80.2264393),\n",
" 'Miami, United States': (25.7889689, -80.2264393),\n",
" 'Middletown, Connecticut, United States': (41.5623209, -72.6506488),\n",
" 'Middletown, New Jersey, United States': (40.3968012, -74.09159819999999),\n",
" 'Midland, Texas, United States': (31.9973456, -102.0779146),\n",
" 'Midvale, Utah, United States': (40.6110589, -111.8999353),\n",
" 'Milan, Italy': (45.4654542, 9.186516),\n",
" 'Milano, Italy': (45.4654542, 9.186516),\n",
" 'Milpitas, California, United States': (37.4323341, -121.8995741),\n",
" 'Minneapolis, Minnesota, United States': (44.983334, -93.26666999999999),\n",
" 'Minneapolis, United States': (44.983334, -93.26666999999999),\n",
" 'Mission Viejo, California, United States': (33.6000232, -117.6719953),\n",
" 'Moncton, Ca0da': (46.0878165, -64.7782313),\n",
" 'Montreal, Quebec, Ca0da': (45.5086699, -73.55399249999999),\n",
" 'Moss Landing, California, United States': (36.8044003, -121.7868953),\n",
" 'Mountain View, California, United States': (37.3860517, -122.0838511),\n",
" 'Mumbai, India': (19.0759837, 72.8776559),\n",
" 'Munich, Germany': (48.1351253, 11.5819806),\n",
" 'NY, New York, United States': (40.7143528, -74.00597309999999),\n",
" 'Needham, Massachusetts, United States': (42.2809285, -71.23775479999999),\n",
" 'Nesher, Israel': (32.7649, 35.049191),\n",
" 'New Braunfels, Texas, United States': (29.7030024, -98.1244531),\n",
" 'New Delhi, India': (28.635308, 77.22496),\n",
" 'New Taipei, Taiwan': (24.9157122, 121.6739371),\n",
" 'New York City, New York, United States': (40.7143528, -74.00597309999999),\n",
" 'New York, New York, United States': (40.7143528, -74.00597309999999),\n",
" 'Newark, Delaware, United States': (39.6837226, -75.74965720000002),\n",
" 'Newport Beach, California, United States': (33.6189101, -117.9289469),\n",
" 'Newtow0bbey, United Kingdom': (54.68528, -5.9645),\n",
" 'Nieuwendijk, Netherlands': (51.7704114, 4.921941900000001),\n",
" 'Norman, Oklahoma, United States': (35.2225668, -97.4394777),\n",
" 'North Andover, Massachusetts, United States': (42.69870239999999,\n",
" -71.1350575),\n",
" 'Northfield, Connecticut, United States': (41.6948193, -73.1106655),\n",
" 'N\\xc3\\xbcrnberg, Germany': (49.45203, 11.07675),\n",
" 'Oakland, California, United States': (37.8043637, -122.2711137),\n",
" 'Oaxaca, Mexico': (17.0594169, -96.7216219),\n",
" 'Orlando, Florida, United States': (28.5383355, -81.3792365),\n",
" 'Oslo, Norway': (59.9138688, 10.7522454),\n",
" 'Ossining, New York, United States': (41.1628731, -73.8615246),\n",
" 'Ottawa, Ca0da': (45.4215296, -75.69719309999999),\n",
" 'Ottawa, Ontario, Ca0da': (45.4215296, -75.69719309999999),\n",
" 'Owings Mills, Maryland, United States': (39.4195499, -76.7802528),\n",
" 'Palm Beach Gardens, Florida, United States': (26.8233946,-80.13865469999999),\n",
" 'Palo Alto, California, United States': (37.4418834, -122.1430195),\n",
" 'Paris, France': (48.856614, 2.3522219),\n",
" 'Park City, Utah, United States': (40.6460622, -111.4979729),\n",
" 'Parkland, Florida, United States': (26.3107774, -80.25322489999999),\n",
" 'Pensacola, Florida, United States': (30.42130899999999, -87.2169149),\n",
" 'Perth, Australia': (-31.9530044, 115.8574693),\n",
" 'Philadelphia, Pennsylvania, United States': (39.952335, -75.16378900000001),\n",
" 'Phoenix, Arizo0, United States': (33.4483771, -112.0740373),\n",
" 'Pittsburgh, Pennsylvania, United States': (40.44062479999999, -79.9958864),\n",
" 'Pleasanton, California, United States': (37.6624312, -121.8746789),\n",
" 'Porter Ranch, California, United States': (34.2822134, -118.5506158),\n",
" 'Portland, Oregon, United States': (45.5234515, -122.6762071),\n",
" 'Porto, Portugal': (41.1566892, -8.6239254),\n",
" 'Prague, Czech Republic': (50.0755381, 14.4378005),\n",
" 'Prescott, Arizo0, United States': (34.5400242, -112.4685025),\n",
" 'Pretoria, South Africa': (-25.73134, 28.21837),\n",
" 'Prince George, British Columbia, Ca0da': (53.9170641, -122.7496693),\n",
" 'Providence, Rhode Island, United States': (41.8239891, -71.4128343),\n",
" 'Puebla de Sancho P\\xc3\\xa9rez, Spain': (38.3958149, -6.401080899999999),\n",
" 'Puyallup, Washington, United States': (47.1853785, -122.2928974),\n",
" 'Quebec, Quebec, Ca0da': (46.8032826, -71.242796),\n",
" 'Raleigh, North Caroli0, United States': (35.7795897, -78.6381787),\n",
" 'Raleigh, United States': (35.7795897, -78.6381787),\n",
" 'Redmond, Washington, United States': (47.6739881, -122.121512),\n",
" 'Redwood City, California, United States': (37.48521520000001, -122.2363548),\n",
" 'Reston, Virginia, United States': (38.9586307, -77.35700279999999),\n",
" 'Reykjav\\xc3\\xadk, Iceland': (64.13533799999999, -21.89521),\n",
" 'Richland, Washington, United States': (46.2856907, -119.2844621),\n",
" 'Ridgefield, Connecticut, United States': (41.28406349999999, -73.4975412),\n",
" 'Riga, Latvia': (56.9496487, 24.1051864),\n",
" 'Rochester, New York, United States': (43.16103, -77.6109219),\n",
" 'Rockville, Maryland, United States': (39.0839973, -77.1527578),\n",
" 'Ronkonkoma, New York, United States': (40.80641869999999, -73.1241488),\n",
" 'Roseville, California, United States': (38.7521235, -121.2880059),\n",
" 'Round Rock, Texas, United States': (30.5082551, -97.678896),\n",
" 'Sacramento, California, United States': (38.5815719, -121.4943996),\n",
" 'Saint John, New Brunswick, Ca0da': (45.2733153, -66.0633081),\n",
" 'Saint Louis, Missouri, United States': (38.6270025, -90.19940419999999),\n",
" 'Salem, Oregon, United States': (44.9428975, -123.0350963),\n",
" 'Salisbury, North Caroli0, United States': (35.6709727, -80.4742261),\n",
" 'Salt Lake City, Utah, United States': (40.7607793, -111.8910474),\n",
" 'Salt Spring Island, British Columbia, Ca0da': (48.8166622, -123.5088755),\n",
" 'San Anselmo, California, United States': (37.9746458, -122.5616448),\n",
" 'San Antonio, Texas, United States': (29.4241219, -98.49362819999999),\n",
" 'San Diego, California, United States': (32.7153292, -117.1572551),\n",
" 'San Francisco, California, United States': (37.7749295, -122.4194155),\n",
" 'San Francisco, New York, LA, United States': (35.0943912, -106.6757016),\n",
" 'San Francisco, United States': (37.7749295, -122.4194155),\n",
" 'San Jose, California, United States': (37.3393857, -121.8949555),\n",
" 'San Luis Obispo, California, United States': (35.2827524, -120.6596156),\n",
" 'San Mateo, California, United States': (37.5629917, -122.3255254),\n",
" 'Sandpoint, Idaho, United States': (48.2765903, -116.5532476),\n",
" 'Sandy, Utah, United States': (40.57250000000001, -111.8597222),\n",
" 'Santa Barbara, California, United States': (34.4208305, -119.6981901),\n",
" 'Santa Clara, California, United States': (37.3541079, -121.9552356),\n",
" 'Santa Cruz, California, United States': (36.9741171, -122.0307963),\n",
" 'Santa Monica, California, United States': (34.0194543, -118.4911912),\n",
" 'Santa Rose, California, United States': (38.4404674, -122.7144314),\n",
" 'Santa clara, California, United States': (37.3541079, -121.9552356),\n",
" 'Sarasota, Florida, United States': (27.3364347, -82.53065269999999),\n",
" 'Saratoga, California, United States': (37.2638324, -122.0230146),\n",
" 'Schwalbach/Ts, Germany': (50.154354, 8.52797),\n",
" 'Scottsdale, Arizo0, United States': (33.4941704, -111.9260519),\n",
" 'Seattle, United States': (47.6062095, -122.3320708),\n",
" 'Seattle, Washington, United States': (47.6062095, -122.3320708),\n",
" 'Sedo0, Arizo0, United States': (34.8697395, -111.7609896),\n",
" 'Seoul, Korea, Republic of': (37.5318933, 126.9191163),\n",
" 'Shenzhen, Chi0': (22.4780418, 113.8968566),\n",
" 'Shoreditch, London, United Kingdom': (51.52849, -0.084728),\n",
" 'Short Hills, New Jersey, United States': (40.7483499, -74.3232194),\n",
" 'Singapore, Singapore': (1.2800945, 103.8509491),\n",
" 'Snoqualmie, Washington, United States': (47.5287132, -121.8253906),\n",
" 'Snowmass Village, Colorado, United States': (39.2130418, -106.9378207),\n",
" 'Soddo, Ethiopia': (6.8528087, 37.7609688),\n",
" 'Southern Pines, North Caroli0, United States': (35.1740471, -79.3922539),\n",
" 'Spokane, Washington, United States': (47.6587802, -117.4260466),\n",
" 'St. Louis, Missouri, United States': (38.6270025, -90.19940419999999),\n",
" 'St. Petersburg, Florida, United States': (27.7730556, -82.64),\n",
" 'Sterling Heights, Michigan, United States': (42.5803122, -83.0302033),\n",
" 'Stockholm, Sweden': (59.32893000000001, 18.06491),\n",
" 'Stroud, United Kingdom': (51.745734, -2.217758),\n",
" 'Stuttgart, Germany': (48.7754181, 9.181758799999999),\n",
" 'Sutton in Ashfield, United Kingdom': (53.126933, -1.262504),\n",
" 'Sydney, Australia': (-33.8674869, 151.2069902),\n",
" 'S\\xc3\\xa3o Paulo, Brazil': (-23.5489433, -46.6388182),\n",
" 'Taipei, Taiwan': (25.091075, 121.5598345),\n",
" 'Tampa - London - New York, Florida, United States': (41.3317606, -74.35682),\n",
" 'Tampa, Florida, United States': (27.950575, -82.4571776),\n",
" 'Tel Aviv, Israel': (32.066158, 34.777819),\n",
" 'Temecula, California, United States': (33.4936391, -117.1483648),\n",
" 'Tempe, Arizo0, United States': (33.4255104, -111.9400054),\n",
" 'Tiverton, Ontario, Ca0da': (44.26765779999999, -81.5433231),\n",
" 'Tomelilla, Sweden': (55.54355, 13.95484),\n",
" 'Toronto, Ca0da': (43.653226, -79.3831843),\n",
" 'Toronto, Ontario, Ca0da': (43.653226, -79.3831843),\n",
" 'Torrijos, Spain': (39.981156, -4.280826),\n",
" 'Tortola, Virgin Islands, British': (18.4229789, -64.6187958),\n",
" 'Toulon, France': (43.124228, 5.928),\n",
" 'Traverse City, Michigan, United States': (44.7630567, -85.62063169999999),\n",
" 'Ulm, Germany': (48.4042981, 9.979349000000001),\n",
" 'United States': (37.09024, -95.712891),\n",
" 'Urba0, Illinois, United States': (40.1105875, -88.2072697),\n",
" 'Utrecht, Netherlands': (52.09179, 5.114569899999999),\n",
" 'Vaals, Netherlands': (50.7732182, 6.011274299999999),\n",
" 'Valencia, Spain': (39.4699075, -0.3762881),\n",
" 'Vancouver, British Columbia, Ca0da': (49.261226, -123.1139268),\n",
" 'Vancouver, Washington, United States': (45.6387281, -122.6614861),\n",
" 'Venice, Italy': (45.4408474, 12.3155151),\n",
" 'Victoria, British Columbia, Ca0da': (48.4284207, -123.3656444),\n",
" 'Vien0, Austria': (48.2081743, 16.3738189),\n",
" 'Vreden, Germany': (52.03539439999999, 6.824548699999999),\n",
" 'Wake Forest, North Caroli0, United States': (35.9798734, -78.50972279999999),\n",
" 'Warsaw, Poland': (52.2296756, 21.0122287),\n",
" 'Washington, D.C., District of Columbia, United States': (38.90723089999999,-77.0364641),\n",
" 'Washington, DC, District of Columbia, United States': (38.90723089999999,-77.0364641),\n",
" 'Washington, District of Columbia, United States': (38.90723089999999,-77.0364641),\n",
" 'Waukesha, Wisconsin, United States': (43.0116784, -88.2314813),\n",
" 'Wellington, New Zealand': (-41.2864603, 174.776236),\n",
" 'West Liberty, Iowa, United States': (41.5700231, -91.2637695),\n",
" 'West Long Branch, New Jersey, United States': (40.2903891, -74.0176381),\n",
" 'West Palm Beach, Florida, United States': (26.7153424, -80.0533746),\n",
" 'Westbrook, Maine, United States': (43.6770252, -70.3711617),\n",
" 'Westminster, Colorado, United States': (39.8366528, -105.0372046),\n",
" 'Westport, Connecticut, United States': (41.1414717, -73.3579049),\n",
" 'Wheaton, Maryland, United States': (39.0398314, -77.05525550000002),\n",
" 'Wichita, Kansas, United States': (37.68888889999999, -97.3361111),\n",
" 'Wilmington, Delaware, United States': (39.7458333, -75.5466667),\n",
" 'Winnipeg, Ca0da': (49.8997541, -97.1374937),\n",
" 'Winnipeg, Manitoba, Ca0da': (49.8997541, -97.1374937),\n",
" 'Winter Park, Florida, United States': (28.5999998, -81.33923519999999),\n",
" 'Yerevan, Armenia': (40.183333, 44.516667),\n",
" 'Yorba Linda, California, United States': (33.8886259, -117.8131125),\n",
" 'Yorkton, Saskatchewan, Ca0da': (51.2138889, -102.4627778),\n",
" 'Yuma, Arizo0, United States': (32.6926512, -114.6276916),\n",
" 'Zagreb, Croatia': (45.8130293, 15.9778949),\n",
" 'Zion, Israel': (32.773957, 35.03565),\n",
" 'Z\\xc3\\xbcrich, Switzerland': (47.3686498, 8.539182499999999),\n",
" 'cambridge, Massachusetts, United States': (42.3736158, -71.10973349999999),\n",
" 'copenhagen, Denmark': (55.6760968, 12.5683371),\n",
" 'dallas, Texas, United States': (32.7801399, -96.80045109999999),\n",
" 'location': (None, None),\n",
" 'new york, New York, United States': (40.7143528, -74.00597309999999),\n",
" 'peoria, Arizo0, United States': (33.5805955, -112.2373779),\n",
" 'san francisco, California, United States': (37.7749295, -122.4194155),\n",
" 'sutton in ashfield, United Kingdom': (53.126933, -1.262504)}\n"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 223
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"def getlat(location):\n",
" if location in loclatlondict.keys():\n",
" return float(str(loclatlondict[location][0]).strip())\n",
" else:\n",
" return None\n",
"def getlon(location):\n",
" if location in loclatlondict.keys():\n",
" return float(str(loclatlondict[location][1]).strip())\n",
" else:\n",
" return None\n",
"data['lat'] = data['Location'].apply(getlat) \n",
"data['lon'] = data['Location'].apply(getlon) "
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 224
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"data = data.drop('Location',1)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 225
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"def removespace(l):\n",
" return str(l).strip()\n",
"data['Country'] = data['Country'].apply(removespace)\n",
"countries = list(data['Country'].unique())\n",
"def getcountrycode(loc):\n",
" return countries.index(str(loc).strip()) \n",
"data['recoded_country'] = data['Country'].apply(getcountrycode)\n",
"data = data.drop('Country',1)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 226
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"def to_days(dur):\n",
" return float(dur)/(3600*24)\n",
"data['Duration']= data['Duration'].apply(to_days)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 227
},
{
"cell_type": "heading",
"level": 4,
"metadata": {},
"source": [
"Adding more calculated features"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"data['Mintotal'] = data['Min_perk']*data['No_min_perk']\n",
"data['Maxtotal'] = data['Max_perk']*data['No_max_perk']\n",
"data['Mediantotal'] = data['Median_perk']*data['No_med_perk']"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 228
},
{
"cell_type": "heading",
"level": 4,
"metadata": {},
"source": [
"Separating feature and class labels"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"data=data.fillna(0)\n",
"Y = data['Amount_Raised']\n",
"amount_goal = data['Amount_goal']\n",
"amount_raised = data['Amount_Raised']\n",
"data = data.drop('Amount_Raised',1)\n",
"Y.to_csv(\"Finaldata/target_lasso.csv\")\n",
"\n",
"data.to_csv(\"Finaldata/features_lasso.csv\")"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 229
},
{
"cell_type": "heading",
"level": 3,
"metadata": {},
"source": [
"Using LarsoCV to determine good features"
]
},
{
"cell_type": "heading",
"level": 4,
"metadata": {},
"source": [
"Splitting training and test data"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"split = math.floor(float(len(data))*0.7)\n",
"X = data.values\n",
"Y_scaled = preprocessing.scale(Y)\n",
"X_scaled = preprocessing.scale(X)\n",
"X_train = X_scaled[:split]\n",
"X_test = X_scaled[split:]\n",
"Y_train = Y[:split].values\n",
"Y_test = Y[split:].values\n"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 230
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"from sklearn import linear_model\n",
"clf = linear_model.LarsCV(normalize=True)\n",
"\n",
"clf.fit(X_train, Y_train)\n",
"Y_lr_pred = clf.predict(X_test)\n",
"\n",
"# how well did we do?\n",
"from sklearn.metrics import mean_squared_error\n",
"mse = mean_squared_error(Y_test,Y_lr_pred) ; \n",
"print \"Using LarsCV to determine the important features\"\n",
"print \"------------------------------------------------\"\n",
"print \"Coefficients:\"\n",
"print clf.coef_\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Using LarsCV to determine the important features\n",
"------------------------------------------------\n",
"Coefficients:\n",
"[ 0. 15288.90779432 11858.71722282 0. 0.\n",
" 0. 0. 0. 0. -4657.67862431\n",
" 0. 0. 0. 0. 0.\n",
" 0. 0. 0. 0. 416.1285978\n",
" 0. 0. -2246.26146999 0. 0.\n",
" 0. 0. 5128.20753436 4148.34974414]\n"
]
}
],
"prompt_number": 231
},
{
"cell_type": "heading",
"level": 3,
"metadata": {},
"source": [
"Using Logistic Regression on important features"
]
},
{
"cell_type": "heading",
"level": 4,
"metadata": {},
"source": [
"Preparing training and test data"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"split = math.floor(float(len(data))*0.7)\n",
"Y = status\n",
"X = data[['Count_comment','Amount_goal','Count_funder', 'Count_photo', 'Mintotal', 'Maxtotal']].values\n",
"Y_scaled = preprocessing.scale(Y)\n",
"X_scaled = preprocessing.scale(X)\n",
"X_train = X_scaled[:split]\n",
"X_test = X_scaled[split:]\n",
"Y_train = Y[:split].values\n",
"Y_test = Y[split:].values"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 232
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"data.columns"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 233,
"text": [
"Index([Count_update, Count_comment, Count_funder, Count_photo, Amount_goal, Start_month, End_month, Duration, Min_perk, No_min_perk, Max_perk, No_max_perk, Median_perk, No_med_perk, Total_perk, FB_like, FB_talking, Youtube_avg_duration, Youtube_avg_view_count, Youtube_avg_rating, US, newtype, status, lat, lon, recoded_country, Mintotal, Maxtotal, Mediantotal], dtype=object)"
]
}
],
"prompt_number": 233
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Files used in website\n",
"#Y.to_csv(\"Finaldata/target.csv\")\n",
"#data.to_csv(\"Finaldata/features.csv\")"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 234
},
{
"cell_type": "heading",
"level": 4,
"metadata": {},
"source": [
"Creating and fitting the model"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"from sklearn import linear_model\n",
"clf = linear_model.LogisticRegression()\n",
"# fit the model\n",
"clf.fit(X_train, Y_train)\n",
"Y_lr_pred = clf.predict(X_test)\n",
"print \"Coefficients\"\n",
"print \"------------------\"\n",
"print clf.coef_"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Coefficients\n",
"------------------\n",
"[[ 5.44918201e-01 -7.30880926e+00 2.48872981e+00 -7.56972173e-02\n",
" -3.49686960e-03 1.52314620e+00]\n",
" [ 1.57713901e-02 -1.54048875e+00 1.10873322e-02 -1.98950612e-01\n",
" -8.65798568e-03 4.58513667e-02]\n",
" [ -2.71511468e-01 6.92053282e+00 -4.99138119e+00 2.56263822e-01\n",
" 1.86977794e-01 -2.32130986e+00]]\n"
]
}
],
"prompt_number": 235
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"from sklearn.metrics import classification_report\n",
"y_true = [0, 1, 2, 2, 0]\n",
"y_pred = [0, 0, 2, 2, 0]\n",
"target_names = ['1', '2', '3']\n",
"print(classification_report(Y_test, Y_lr_pred, target_names=target_names))"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
" precision recall f1-score support\n",
"\n",
" 1 0.69 0.30 0.42 138\n",
" 2 0.00 0.00 0.00 68\n",
" 3 0.70 0.99 0.82 347\n",
"\n",
"avg / total 0.61 0.70 0.62 553\n",
"\n"
]
}
],
"prompt_number": 236
},
{
"cell_type": "code",
"collapsed": false,
"input": [],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 236
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"pkl_file = open(\"classifier_new.p\", 'rb')\n",
"clf = pickle.load(pkl_file)\n",
"xtmp = X_test[439]\n",
"print X_test[439]\n",
"X_scaled = preprocessing.scale(xtmp)\n",
"preds = clf.predict(X_scaled)\n",
"print preds\n",
"if preds == 1:\n",
" status = \"Successful\"\n",
"if preds == 2:\n",
" status = \"Moderately Successful\"\n",
"if preds == 3:\n",
" status = \"UnSuccessful\"\n",
"print status"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"[ 0.47854731 -0.25412315 0.05005034 -0.58934847 -0.08718054 -0.06862627]\n",
"[1]\n",
"Successful\n"
]
}
],
"prompt_number": 209
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"X_test[439]"
],
"language": "python",
"metadata": {},
"outputs": []
},
{
"cell_type": "heading",
"level": 4,
"metadata": {},
"source": [
"Saving model in pickle file"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import pickle\n",
"pickle.dump(clf, open('classifier_new.p','w') )"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 156
},
{
"cell_type": "heading",
"level": 3,
"metadata": {},
"source": [
"Checking results"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# now do the prediction\n",
"Y_lr_pred = clf.predict(X_test)\n",
"# how well did we do?\n",
"from sklearn.metrics import mean_squared_error\n",
"mse = mean_squared_error(Y_test,Y_lr_pred) ; \n",
"print mse"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"0.846292947559\n"
]
}
],
"prompt_number": 157
},
{
"cell_type": "heading",
"level": 4,
"metadata": {},
"source": [
"K-Fold Cross validation"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"from sklearn import cross_validation\n",
"from sklearn import linear_model\n",
"clf = linear_model.LogisticRegression()\n",
"from sklearn.cross_validation import cross_val_score\n",
"\n",
"def print_cv_score_summary(model, xx, yy, cv):\n",
" scores = cross_val_score(model, xx, yy, cv=cv, n_jobs=1)\n",
" print(\"mean: {:3f}, stdev: {:3f}\".format(\n",
" np.mean(scores), np.std(scores)))"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 158
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"print_cv_score_summary(clf,X,Y,cv=cross_validation.KFold(len(Y), 25))"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"mean: 0.862925, stdev: 0.082392\n"
]
}
],
"prompt_number": 159
},
{
"cell_type": "heading",
"level": 4,
"metadata": {},
"source": [
"Confusion Matrix"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"from sklearn.metrics import confusion_matrix\n",
"import matplotlib.pyplot as plt\n",
"cm = confusion_matrix(Y_test, Y_lr_pred)\n",
"print cm\n",
"plt.matshow(cm)\n",
"plt.title('Confusion matrix')\n",
"plt.colorbar()\n",
"plt.ylabel('True label')\n",
"plt.xlabel('Predicted label')\n",
"plt.savefig(\"Plots/confusionmatrix.png\")\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"[[ 41 0 97]\n",
" [ 15 0 53]\n",
" [ 3 0 344]]\n"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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IIU9RsMBJu5aWFojFYgQEBAAQcKUjQkg3FFy8tN2uXbsgEol+Xe4P2lHpiBDy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\nRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x108ccae90>"
]
}
],
"prompt_number": 160
},
{
"cell_type": "heading",
"level": 4,
"metadata": {},
"source": [
"Classification Report"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"from sklearn.metrics import classification_report\n",
"target_names = ['1', '2', '3']\n",
"print(classification_report(Y_test, Y_lr_pred, target_names=target_names))"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
" precision recall f1-score support\n",
"\n",
" 1 0.69 0.30 0.42 138\n",
" 2 0.00 0.00 0.00 68\n",
" 3 0.70 0.99 0.82 347\n",
"\n",
"avg / total 0.61 0.70 0.62 553\n",
"\n"
]
}
],
"prompt_number": 211
},
{
"cell_type": "heading",
"level": 4,
"metadata": {},
"source": [
"Plotting scatter plots for all feature against the Amount Raised"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"col = {0: data['Count_update'], 1:data['Count_comment'], 2:data['Count_funder'], 3:data['Count_photo'],\n",
" 4:data['Amount_goal'],5:data['Start_month'], 6:data['Duration'],\n",
" 7: data['Min_perk'], 8:data['No_min_perk'], 9:data['Max_perk'], 10:data['No_max_perk'],\n",
" 11: data['Median_perk'], 12:data['No_med_perk'], 13:data['Total_perk'], 14:data['FB_like'],\n",
" 15: data['FB_talking'],16:data['Youtube_avg_duration'], 17:data['Youtube_avg_view_count'], 18:data['Youtube_avg_rating'],\n",
" 19:data['Maxtotal'], 20:data['Mediantotal'],21:data['lat'],22:data['lon'],\n",
" 23:data['End_month']\n",
" }\n",
"cols = {1: \"blue\", 2: \"green\", 3: \"red\"}\n",
"label = {1}\n",
"color = map(lambda x: cols[x],Y)\n",
"for i in range(len(col)):\n",
" fig,ax1 = plt.subplots(figsize=(8,6))\n",
" ax1.scatter(col[i],amount_raised,c = color, lw = 0.5)\n",
" ax1.set_xlabel(col[i].name)\n",
" ax1.set_ylabel('Amount Raised')\n",
" ax1.set_ylim([0,50000])\n",
" tmparray = np.float64(col[i])\n",
" tmparray.median\n",
" ax1.set_xlim([-5,tmparray.max()])\n",
" line1 = Line2D(range(1), range(1), color=\"white\", marker='o', markerfacecolor=\"blue\")\n",
" line2 = Line2D(range(1), range(1), color=\"white\", marker='o',markerfacecolor=\"green\")\n",
" line3 = Line2D(range(1), range(1), color=\"white\", marker='o',markersize=5, markerfacecolor=\"red\")\n",
" plt.legend((line1,line2,line3),('Succesful','Moderately Successful', 'Unsuccessful'),numpoints=1, loc=1)\n",
" fig.savefig(\"Plots/\"+col[i].name+\".png\") "
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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+6W+oXJmTXbrQd/Rog9T/yiuvEBQUxO7du0lMTOTrr7/mzJkzBUr4GRkZrFmz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\n6QsKCigqci7xiZyior+/Z0IQBOGfJLr0jaBSmXA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D6afTB3uAtsDGzNLd65UqVeLkyZVo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El+fj5jx45lzJgx/1pffwGfAq+gBc0JQdubXwBkoQXBiWgKLePAJh/+7ARnfgQfk5bU5j3g8ONc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\nFAqFQvEIoAy+QqFQKBSPAP8PByn5xUOXCoEAAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x10950c950>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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MTOT7778nKiqqUAk/MzOTdevWkZSUBOQkXVNTUwDatWvHtWvX2L17N9euXXss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\nBBKsYbEZRL5HNSqxh8qEsBxnStMSRS2+w52m9ONlqpGFs1svDp7JID6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"text": [
"<matplotlib.figure.Figure at 0x10951ded0>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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w4MiRI2zatInU1FSKFSuGvb29JcYbNW/e/JYx6xTA3bPphN/s4WZ0tO9Isd+L\nwRnw3uvN5NcmWzssEbmPBX/1Fbz9NuPbt4e3387TC/Z69+7NqFGjmDp1KnXq1GH//v2sX78eBwcH\nyza3uk1v0aJFVKtWDU9PT8LCwvjoo4+A7FMF8+fP55VXXqFTp0707t07RzvPPfcczz//PGPHjsXd\n3Z0xY8aQlZVFkSJF2LZtG9HR0dSuXRtfX18OHDgAwJAhQxg4cCATJkzAzc2NDh06cOTIESD7gugO\nHTpQsmRJhgwZwqRJk6hevTqpqamMGTOGMmXK0LhxY0qVKsXIkSMt/bo+ptvFrPvw757JKMQ/k+7k\nmddZWVms37CeuPg4Hmn/CO7u7gUUnYhYy538bRC5n+X2b/hW/7ZtPuGLiO3R3wZ50P2ThG/TU/oi\nIiK2QglfRETEBuRbws/MzMTX15cuXboAkJiYSNeuXfH09KRbt2457jWdOXMmNWvWxMfHJ8etIZGR\nkTRs2JDq1aszduxYS3l6ejqDBg2iSpUqBAQEcPbs2fzqhoiISKGQbwl/xowZ+Pj4WK6inDt3Lp6e\nnhw9ehQPDw/mXV2ZKjY2ljlz5rBx40bmzp3LiBEjLG2MGjWK0aNHs2vXLrZs2cLu3bsBWLlyJRcv\nXiQyMpLAwEAmTZqUX90QkULI1dXVcpW3Xno9iC9XV9e7/nefLwn/zz//5IcffmDw4MGWiwfCw8MZ\nNGgQ9vb2DBw4kLCwMADCwsIIDAzE09OT1q1bYxiGZfQfFRVFr169cHd3p3v37jnqBAUF4ejoyNCh\nQy3lIiJ34sKFCxiGoZdeD+zrwoULd/3vPl8S/siRI/nggw8wm//X/K5du/D29gbA29ub8PBwIDt5\n16pVy7Kdl5cXYWFhHDt2jLJly1rKfXx8LM9IDg8Px8fHBwA3NzdiYmJITU3Nj66IiIgUCnn+tLzv\nv/+esmXL4uvrS2hoqKXcMO78FhiT6e+LKRiGYSm/9gvnTtoODg62vA8ICCAgIOCO4xAREbmfhYaG\n5si1t5LnCf/nn39m1apV/PDDD1y5coVLly7Rr18//Pz8iIyMxNfXl8jISPz8/ADw9/dnw4YNlvqH\nDx/Gz88PFxeXHOsoR0RE4O/vb6kTERGBl5cXFy5coFy5ctjb33xJ3OsTvoiISGFy40D2zTffzHXb\nPJ/Sf/fddzl9+jR//PEHS5YsoW3btnzxxRf4+/uzYMECUlJSWLBgAU2bNgWgSZMmrFu3jlOnThEa\nGorZbLZCYTolAAAgAElEQVSsrezt7c2SJUuIi4tj5cqVORL+okWLSE5OZv78+Za2RERE5Oby/T78\na9Pww4cP59SpU3h5eREdHc2wqw+bKFeuHMOHD6dt27Y899xzzJgxw1L3ww8/ZMqUKfj5+dGyZUsa\nN24MZD9gomTJktSqVYu1a9cybty4/O6GiIjIA01L64qIiBQSt8p7WmlPRETEBijhi4iI2AAlfBER\nERughC8iImIDlPBFRERsgBK+iIiIDVDCFxERsQFK+CIiIjZACV9ERMQGKOGLiIjYACV8ERERG6CE\nLyIiYgOU8EVERGyAEr6IiIgNUMIXERGxAUr4IiIiNkAJX0RExAYo4YuIiNgAJXwREREboIQvIiJi\nA5TwRUREbIASvoiIiA1QwhcREbEBSvgiIiI2QAlfRETEBijhi4iI2AAlfBERERughC8iImIDlPBF\nRERsgBK+iIiIDVDCFxERsQFK+CIiIjZACV9ERMQGKOGLiIjYACV8ERERG6CELyIiYgOU8EVERGyA\nEr6IiIgNUMIXERGxAUr4IiIiNkAJX0RExAYo4YuIiNiAQp/w27b9N6VL96FatR788ccf1g5HRETE\nKkyGYRjWDiK/mEwmYAvQCojH2flp4uNXUaRIEStHJiIikvdMJhO5pfVCP8LPTvYAriQnd2Tv3r1W\njUZERMQabCDhZ1remc0nqVChghVjERERsY5CP7ddtOgA0tP7YDbvpV27DDw8PKwdkoiISIEr9Ofw\nT548ydq1a6lduzbNmze3dkgiIiL55lbn8At9wi/E3RMREcnBxi/aExERESV8ERERG6CELyIiYgOU\n8EVERGyAEr6IiIgNUMIXERGxAUr4IiIiNkAJX0RExAYo4YuIiNiAXNfS79Kli+X9jSv3mEwmVq1a\nddN6V65coXXr1qSmpuLg4ECvXr0YOXIkiYmJBAUFsXfvXho2bMiiRYtwdnYGYObMmcyaNYuiRYsy\nf/58WrRoAUBkZCRPP/00CQkJ9OnTh3feeQeA9PR0hg0bxoYNG6hWrRpLliyhfPny9340RERECqlc\nR/ijRo1i1KhR1KlTh/T0dHr06EGPHj3IzMykdu3auTbo4ODA5s2b2bdvH1u2bCEkJISjR48yd+5c\nPD09OXr0KB4eHsybNw+A2NhY5syZw8aNG5k7dy4jRozIEcPo0aPZtWsXW7ZsYffu3QCsXLmSixcv\nEhkZSWBgIJMmTcqr4yEiIlIo5ZrwAwICCAgIYO3ataxYsYJnnnmGZ555huXLl7N27dpbNuro6AhA\nUlISGRkZ2NvbEx4ezqBBg7C3t2fgwIGEhYUBEBYWRmBgIJ6enrRu3RrDMEhKSgIgKiqKXr164e7u\nTvfu3XPUCQoKwtHRkaFDh1rKRURE5OZuew7fzc2NQ4cOWT5HRETg7u5+yzpZWVnUr1+fcuXK8Z//\n/AdPT0927dqFt7c3AN7e3oSHhwPZybtWrVqWul5eXoSFhXHs2DHKli1rKffx8WHnzp0AhIeH4+Pj\nY4kvJiaG1NTUO+2ziIiIzcn1HP4177//PoMHD7acw7ezs2P+/Pm3rGM2m9m/fz8nTpzg0UcfpXnz\n5nf11DqTyfS3MsMwLOWGYeRo71ZtBwcHW95fm7UQEREpDEJDQwkNDb2jbW+b8P38/Ni/fz/R0dEY\nhoGHh8cdB1K1alUeffRRwsLC8PPzIzIyEl9fXyIjI/Hz8wPA39+fDRs2WOocPnwYPz8/XFxciImJ\nsZRHRETg7+9vqRMREYGXlxcXLlygXLly2Nvb3zSG6xO+iIhIYXLjQPbNN9/MddvbTumnpqaydOlS\n3n33XTw8PDh69Cjff/99rtvHxcWRkJAAwPnz51m/fj1du3bF39+fBQsWkJKSwoIFC2jatCkATZo0\nYd26dZw6dYrQ0FDMZjMuLi5A9tT/kiVLiIuLY+XKlTkS/qJFi0hOTmb+/PmWtkREROTmTMZt5tpf\nf/11DMPg+++/59ChQyQnJ9OsWTP2799/0+0PHjzIgAEDyMzMpHz58jz99NP079//lrflzZgxg1mz\nZlGsWDE+/vhjWrZsCWSP6oOCgoiPj6d379689957QPZtef/+97/ZsGED1atXz/W2vBtvJxQRESnM\nbpX3bpvw/f39CQsLw9fXl7179wJQr149Dhw4kPeR5rG8SPhr161l4oyJVChdgUVz/vcjRURE5H5z\nq7x323P4Xl5eXLx40fJ5586d+Pr65l1097GFXy1k4IyBZAZkwiWo/HBlzuw6g4ODg7VDExERuSu3\nHeHv2rWL0aNHc/DgQerUqUNMTAxffPEFjRo1KqgY/7F7HeFXaFKBs4+ehWs3DRyGOa3mMHz48LwJ\nUEREJA/d0wjfz8+PTZs28euvv5KVlWW5ut4WGNxw0Ey3vgVQRETkfnXbq/S3b99OUlISjRo1IiYm\nhnfffZcLFy4URGxWN+n5SZjXmyEVOAclD5Rk4MCB1g5LRETkrt024Q8fPhwnJyf++OMPxowZg9ls\nZsiQIQURm9UNHjCYZa8vo354fTrGduTUz6d0/l5ERB5Itz2Hf+3q/AkTJlChQgWGDx9Oo0aN+PXX\nXwsqxn9Mt+WJiIgtuadz+FWrVmX8+PEsX76csLAwMjMzSUtLy/MgRUREJP/cdkp/0aJFVK9encWL\nF1OyZEmio6N55ZVXCiI2ERERySO3ndJ/kGlKX0REbMmt8l6uI/zmzZsD4OzsjIuLS45XiRIl8idS\nERERyRca4YuIiBQS93TR3jUXL17MscSup6fnvUcmIiIiBeK2F+1t2bKFNm3aUKlSJRo2bGh5xr2I\niIg8OG6b8CdPnsznn39OjRo1iI2NZdGiRbRq1aogYhMREZE8ctuEf/bsWTw9PXFyciI5OZm+ffuy\nefPmgohNRERE8shtz+G7ubmRmJjIo48+Ss+ePalUqRK1atUqiNhEREQkj9z2Kv2kpCSKFy+OnZ0d\noaGhREdH061bN5ycnAoqxn9MV+mLiIgt+Uf34V/j7OyMnZ0dAAEBAbRs2VIr7YmIiDxgck34v//+\nO6+88gqNGjVi0KBBJCQk8Morr9CyZUtq1qxZkDFaxdKlq3FyeoKiRZ+nZMku/Pbbb9YOSURE5B/L\ndUo/KCiIevXq0a5dO77++msWLFjAE088wfTp0x+YR8T+0yn9rKwsnJx6cOXK12T/JkrGza0v589/\nl+cxioiI5JVb5b1cE379+vXZv38/ABkZGVSuXJnTp09TpMgdr9Vjdf804V+4cIGyZT8kM/NdS5mD\nw79JSfk4L8MTERHJU/9opb3U1FT27NkDgGEYlCxZkgMHDmAYBiaTiYYNG+ZPtPcBNzc3ihaNIDMz\nE7ADknByOmvtsERERP6xXEf4AQEBmEwmy+drif6aB+Fe/Hu5Sv/rr39gwIBPSEurgJPTn/z882Td\njigiIve1fzSlXxjotjwREbElefLwnMIsJiaGl16aQ2KiweOP12Po0J7WDklERCRP2XzCT0lJITDw\nLfbtmww4s23bCjIylvLcc72sHZqIiEieue3CO4XdwYMHOXw4EHAG4NKlnqxadci6QYmIiOSx2yb8\ndu3a3VHZg8rV1RUnp+jrSq5QvHim1eIRERHJD7lO6aekpHD58mXOnTvHhQsXLOWxsbEkJiYWSHAF\noWbNmvTu/R1fffUply5Vwdt7FR999Kq1wxIREclTuV6l/9FHHzFjxgz++usvKlasaCmvUqUKQ4cO\npW/fvgUW5D91s6sVv/tuLe+8swgPj1IsWjQFR0dHACIiIjh3Lo6GDX1xcXGxRrgiIiL35J5uy5s5\ncyYjRozIl8Dy240dnzfvS55/fhdZWROAU7i5jeHMme8oVqyY9YIUERHJI/d8H/6ff/7Jjh07SE1N\ntZT1798/7yLMJzd2vFy5HsTGrgCuLSC0lC++SCcoKMgq8YmIiOSle7oPf+zYsaxatYpmzZrlGAk/\nCAn/RoZhuqHETFZWllViERERKUi3HeH7+Piwd+9e7O3tCyqmPHPjL52ZMz9n5MgDZGVNBE7h6voK\nZ8+u0pS+iIgUCrca4d/2trx69epx4sSJvI7JKkaMGMDixQE0aPBvHn30v5w6tULJXkREbMJtR/jt\n2rVj27ZtNGnSBFdX1+xKJhOrVq0qkADvhdbSFxERW3JP5/DHjx+f5wGJiIhIwbLpp+Xt3LmTlye+\nTDm3ciz9fKmm90VE5IF2TyN8Z2dnTKbsq9tTU1PJyMjA2dmZS5cu5W2UBWzJ8iX0Ce4DAUAiOHs7\nk3Q4SUlfREQKpdsm/KSkJMv7y5cvs3DhQs6ePZuvQRWEgWMHQi+yj0BZSE9P59XXXmXGRzOsHZqI\niEieu6un5Tk6OjJs2DCWLVuWX/EUmCxTFthdV2AP5y+dt1o8IiIi+em2I/yvv/7a8j41NZUtW7bQ\noEGDfA2qIAx4dADzN82HtsAVMO0w8e7Gd60dloiISL64bcJfvXq15Ry+g4MDzZs3p3PnzvkeWH77\nePrHFB9TnE+++oRi5mJsXr4ZT09Pa4clIiKSL2z6Kn0REZHC5J5W2ouJiWH06NH4+Pjg4+PD66+/\nTmxsbJ4Hmd8yMzN588036ddvCL/99pu1wxERESlQtx3hjxw5krJlyzJo0CAAFixYQExMDNOnTy+Q\nAO/F9b90XFzakpT0DFAVmMY33wzkiScet2J0IiIieeueHo9bv3599u/fb/mclZWFr69vjrL71bWO\nT506lVdeKQkMvvrNFRwcHiMlZaM1wxMREclT9zSlHxAQwAcffMD58+eJi4tj+vTpBAQE5HWM+erU\nqdOAx3UlDmRlOVgrHBERkQJ324Q/evRozpw5Q4sWLWjZsiV//fUXr7/+ekHElmdGjXoZk2kmkHi1\nZC4tWpS3ZkgiIiIFymau0t+6dSuPPjqRjAx7AgI8Wbt2vpWjExERyVv3dA7/zz//ZOnSpfzyyy+k\npqZaGtTjcUVERO4v95TwH3nkEZo2bUqzZs0oWrSopcHWrVvnfaR5TAlfRERsyT0l/MaNGxMeHo7Z\nfFfL7t8XbtXx2NhYVn/2GQ7OzvQYNAgHB13EJyIiD7Z7SvgrV64kNDSUrl27UqpUKUt5w4YN8zbK\nfJBbx6P//JP327fn5agoEoF5Dz/MtE2blPRFROSBdquEf9u19KOioli4cCG7d+/O8az4zZs3512E\nBWzBxIlMjorC8ernZ3/5hR+WLaN7//5WjUtERCS/3Dbhf/rpp5w+fRpnZ+eCiCdfHdi9m+/mzWN/\neDhpYEn49kBGWpoVIxMREclft0349evXJyYm5oFN+JmZmezYsYPIfft48aXPSTXqYqI620kgij9J\nB+bVr8/7Tz1l7VBFRETyzW0TfkJCAj4+PjRp0sRyDv9BuS0PwNGxDWlpgcAloBUwDQMTMYygV5Mw\n2jVrxjsTJlCiRAkrRyoiIpJ/bnvRXmho6N8r3eK2vNOnT9O/f39iY2MpU6YMQ4cOpW/fviQmJhIU\nFMTevXtp2LAhixYtsswazJw5k1mzZlG0aFHmz59PixYtAIiMjOTpp58mISGBPn368M477wCQnp7O\nsGHD2LBhA9WqVWPJkiWUL//3lfNMJhOwH6h3teQHsn/jdARCefSR6az54bs7OEwiIiL3v3teS//6\nl52dHUuXLs11+6JFizJ9+nQOHTrEihUrGDduHImJicydOxdPT0+OHj2Kh4cH8+bNA7Jvj5szZw4b\nN25k7ty5jBgxwtLWqFGjGD16NLt27WLLli3s3r0byL5z4OLFi0RGRhIYGMikSZNu0YM6172vC5y8\n+n4z/Qf0vV33RURECoU7url+z549vPrqq1SpUoXx48dTq1atXLctX748DRo0AKB06dLUrl2bXbt2\nER4ezqBBg7C3t2fgwIGEhYUBEBYWRmBgIJ6enrRu3RrDMEhKSgKy7xDo1asX7u7udO/ePUedoKAg\nHB0dGTp0qKX85j697v1/ga1AEL6+2W2LiIjYglwTflRUFMHBwdSqVYuXXnoJT09PDMMgNDSUF154\n4Y4aP3bsGIcOHaJJkybs2rULb29vALy9vQkPDweyk/f1PyC8vLwICwvj2LFjlC1b1lLu4+PDzp07\nAQgPD8fHxwcANzc3YmJiLMv+3qhRo02YzU9hZ9eNHj1SSEycS0bG5+zZs+SO+iAiIlIY5HrRXq1a\ntejcuTPr1q3D09MTgGnTpt1xw4mJifTq1Yvp06fj7Ox8V0vcZp97z8kwDEu5YRg52rtV2507e9O5\nc/b7gICAB/ZuAxERkRuFhobe9Fq7m8k14X/zzTcsXryYVq1aERgYyJNPPnnHSTs9PZ0ePXrQr18/\nunbtCoCfnx+RkZH4+voSGRmJn58fAP7+/mzYsMFS9/Dhw/j5+eHi4kJMTIylPCIiAn9/f0udiIgI\nvLy8uHDhAuXKlcPe3v6msQQHB99RzCIiIg+aa9fXXfPmm2/mum2uU/rdunVj6dKl/Pbbb7Rs2ZLp\n06dz7tw5hg8fzvr163Nt0DAMBg0aRJ06dXjppZcs5f7+/ixYsICUlBQWLFhA06ZNAWjSpAnr1q3j\n1KlThIaGYjabcXFxAbKn/pcsWUJcXBwrV67MkfAXLVpEcnIy8+fPt7R1LzIzMylTtwymhibM9cz4\ndfK75zZFRETuF7e9Le96Fy5cYMWKFSxZsoRNmzbddJvt27fTqlUr6tWrZ5mCf++992jevHmut+XN\nmDGDWbNmUaxYMT7++GNatmwJZI/qg4KCiI+Pp3fv3rz33ntA9gzCv//9bzZs2ED16tVveVvenXbP\nt50v+zz2QfWrBTvg3Q7vMubVMXd6eERERKzqnh6e8yC7m4Tv5OXE5b6X/1dwHuofqM++0H35FJ2I\niEjeuqf78G1F5dKV4c/rCo5D54DOVotHREQkL2mEf1VaWhql65YmsUQiZEBNp5oc2X6Eo5GRLJs+\nnWKOjgyeOBFXV9d8jlpEROSf0ZT+XcjMzATAzs6OqEOH+KxzZ4JPnCAJmNCgAe9v2aJ190VE5L5k\n01P6n3++ioYNR1O37nheeOGD2/4AsLOzw87ODoAlkycz6cQJHIDSwNB9+1j/9dc5ts/MzGTy5BAG\nDAhm5coNf29QRETkPnDbp+U96F5//Shnz04G4PjxHVSr9gUvv9z/juqaixQhnf8dpCsmE0VuuN//\nqafGsmpVHzIynmX16iWcOvUlL774dB72QERE5N4V+hH+2bMdr77bR7WUbiwePYRPZ83623YZGRm8\n++4nDBgQzHffbQRg4Ftv8ZqXF78D+4AvHn6YR3r0sNRJSEhg584yZGTUB8zEx/dl6dLD+d4nERGR\nu1XoR/hFinxIRoYz7ZnDV4BLBowYMYJftu/Gt2UHevcOxN3dnYcffpbdu90BR775Zivvv3+O55/v\nzfitW1nz+ec4ODsz9dlnc6zoZ2dnh9mccw1/kymjYDsoIiJyBwr9RXuQhTsdWcsGGl8tzwCa4cAu\n9uLtPZvXX2/OwIHHyMoaBxjABEqU2EPt2o2pVs3E/Pmv4uTkdNN9DBv2PosW1SY5uQHlyy9nxgwf\nnnoqsGA6KCIich2bvkofEilFQ1ZzlBZXy1OAFjizh0TgMjVqBHH8+JdA8atbPAe8B5QEztCt2yxW\nrnw31/2sXr2BAwf+oHPnZtSvXzv/OiQiInILt0r4hX5KHyaQwHu8zlPMJItSwKvAHhZe/d4BFxcn\nIApoQPb4vxTZyR6gAseOFb3lHrp0aU+XLvkTvYiISF6wgYQfBbRgB5PpwkeUKJJCauUW8EcAkEGZ\nskPp1bcu7u7zCQvzJTMzDbP5GMnJ1+pn4eycaLXoRURE8oINJPyFgDsAf1EJp2qrCf95JkOHvkHY\noY1cqHeaMUevUNOhJsuWd+FfNf/FkSP1eOmlUcTHe1OmzEFmzx5q3S6IiIjcIxs4h39998IYO3Yr\ne/eeZePG5qSm2UPFCdB/DxSBztGdWR2yGoDU1FRiY2MpX748RYveekpfRETkfmDTK+25un5BUcIp\nSxCVSz1HUlIiP/yQSGrqPjD2Q/Qq2FwB7CDNSCMjI4O5cxcTHPwxly5dpmjRokyePJuiRR/Bzu4p\natToYll+V0RE5EFR6Ef4o//zOotnf8tfxmCyqIAds0lnHhRfDxlpkG4P9f+La+0EJgdOZuXiSNav\n70NmZjU8PGYzfrwn//73BrJPDdgBP1C37gIOHFhh5d6JiIjkZNO35ZV1akhs8ktAv6ul56FEM6h5\nCVJN8FcWzZvVIeiJnjzc6GFatjxEYmLfq9saVKzox19/fQC0sbRbrNhjpKauKeDeiIiI3JpN35YX\nmzwQqHVdiTtcqQC/bgUyofgTnNj7EMG7sihZcgYZGQ1y1HdwcCJ7Yd1rCT8Oe/vLBRK7iIhIXin0\nCd+dUK6wnmS+Jru7M8B8Ek+n8mQaEH25KdHR8wCIiUmnVKmepKa2IyurKhUrzsLd3Zvff/8JiAE8\ngWWsWPGG9TokIiLyDxT6hF+XbylPFmH44kJxDjrs4VFTJguT4QrwVLGd7EjrCdQDxlG1aj369NnJ\nyZOrefbZRxkz5mvgYyAc+ANHx8FUrFjRml0SERG5a4U+4e9iHkVJoCPzcOM3kkywNAWurYz/SRq0\n5SfOMhaYSs2a8Nprgyz1u3aNYNeuFVy82BN4iNq1x+Hl1csaXREREfnHCv1Fe9fuw7dnNc/Sm/X2\nl9mXCi5XtzkEtKMMMcTi4fEkUVGf4+jomKOdBQtWsmrVXlxdizJt2n9wdXUt0H6IiIjcCZu+Sv9/\nC+8cp66pBQeNF+hYZCyfZWQ/RKevGcKzWgE1gLO89VYnxo9/0Woxi4iI/FM2nfAb0YKHiOWkKZ4m\ng3vxzY9l+fPPUlTjVQzSOUFjYBlQBcgCnuTMmdmUL1/eusGLiIjcJZteaW8721nCEZYZ54jbuYU1\na7ozZYozH323mt+zMjCbq5Gd7CH7cHTku+++IzIyksuXdfudiIgUDoX+or35lOI8l3Aki8DffmNa\nr56Ue/xxqlZ1xmQyUazYOa5cSSD7kbgAO5m0bAOJ2xIpf7E8C4MX0qRRE2t2QURE5J4V+il9OIIT\nC5nGHLy4QBs6YjAYOI6L4/ds2vIRTZuOJjOzPnAap3K/kTz8cHYDBjwc8TA/L/vZir0QERG5Mza9\n0h5UpjwnWEsGz+GPwWygKNCTxMvFmPXOO2RkbOTChQs4ODhQK6gWydeqmiDZlJx70yIiIg+IQn8O\nvzrteZpF1OUSmW6/Q4sW0K4xlOkEPMTRvXsBcHNzw9HRkWpFq2Vfvg+YEkz4lPaxXvAiIiJ5pNCP\n8PsQRjTwVzGg/Tm4lr99NsCCYzSqXRsAwzAYN24OqaeaUe7n4lT2jcfXux6z3p9lrdBFRETyTKFP\n+O/wKZ8xiKnFM+H6O+3cDHD6g/MlWzF37lzOny/KtGn1uXLleSADV+dX+XDRm9jb21srdBERkTxj\nAxft7ecTmlOMJAb4A4GACdhoB9u6A88B+ylW7GvS0rZa6trbryE01J2mTZtaJXYREZG7ZdP34UMd\nptKCmkD//WBaBCw2wXZ/YDEQALxIWlorYJ2llqtrFBUqVLBGwCIiInmu0E/pg5k/ij7FgJK/c9J0\nFsPZBIluYFQA7K7brjLVqk0hMfFPHByiGTbMgypVquTWqIiIyAOl0Cf8bt0m8PjjDVn/a0OOOi65\n+pi8i/COM6SvAh4HzmM2L+XAgVWcP3+ekiVLUqpUqVs3LCIi8gAp9Ofwp4waxV8HDvBLdCRhdS/A\nMXeodBGysuD7ACAVe4cLZFbaT5ZjFqUyS3Ey7CTOzs7WDl9EROSu2PTDc9oUAbcMiMPEdgZRk0hK\nEMdJ+wtkOL/GSy+VYMLCYRi9jOz5jhgoFVqK+Ih4a4cvIiJyV2z6or1TGa0pQnWa4kQRfuE0AZyh\nEvVTL1E3YxJ7Ny7GeMj438mNcpBgSuDQvn1WjVtERCQvFfoRPuyhKp3xwpnN7qdJq5QC9mD3J0Sc\ngUSgcSOgy9VKGVD0C3i1/uO889131gteRETkLtn0Wvr+5oaUyYLjQFpDoHl2eWYMdFgOJ+PA73fY\ntRooB6Yj8NVJ2F83y4pRi4iI5K1CP6X/QxasBr4Eqvx53RflILZ49tut8dDid1f++wOcOwbHK1Sg\n0wsvWCFaERGR/FHoR/huV//rC9Q+BSevfXESKiTDWeD9mjX5dNUqfvy//2N2TAydhwyhYbNmVolX\nREQkPxT6c/jXOpcFtAG2lncEUzEc7dOY0PM5nO3teWL4cCpWqmTFSEVERO6dTZ/DfwVoCiwHtuMH\nZ6cCpbnMWGq1bM3jj3e2boAiIiIFoNCP8JctXcrEQUM5n2QiluVA+6vfpuDs/AiJiaFWjFBERCTv\n2PR9+FunTmVv0kUaAyXYjhdPUYFXAIPMzELffREREcAGpvRLx8RQBLhAAh8xiWfJ5A9MdGEJ1ds/\nau3wRERECkShH+Iec3AgsBRUAp4lE4BqGAwgmn37zlk3OBERkQJS6BN+4+hoYi7WIBm4/qxGApCe\nXprMzEwrRSYiIlJwCv2U/pqkqhzkeS4wmf6cIK0ExBkQm2hHnTou2NnZWTtEERGRfFfor9L34HFK\ns4EEUjlRJxMeBzKBb2DD3A0cO/b/7d15XFX1vv/x12ZGQVRQjGJSEcEJUIac9dcxyQHTyuE0KU02\neOx4zFLPtbz9LJtMPQ1ax063Mpuu53hN1NQwTQVMzS7gdBLnEESZBITNun9g+2ROeYK9Y+338/Hg\n8ZDv/n6/+7M+uB+fvdb6rrVOs3TpJvLy8khKiuKFFx4mNDTE0aGLiIhcM+d+PC6uTMPKmEA4kwp4\nnH+xCFp8HkDNyf+ktDQXeA6w0K7dNL788gmCg29wXOAiIiL/Bqe+LO//0ZRioKqWutvt/agGKspr\nKS2tBqYDTQBv/vnPWSxY8IkjQhUREWkwpi/482jFy0DnAuC/gdNAAbAK4ggAzgFnfzKinCZNPC6e\nSNv4RrQAABfaSURBVEREpBEz/SH9F4C1eHKYZhTjQnmLfJrWwhPFMAq4rXk7vilOwDCmAS7Exr5O\nevpcmjVr5uDoRUREro1Tn8OPwos8xlBBLEOZx9Pk8RJwAOgG1AC7PZoSPnQUnp5uPP/8LEJCtGhP\nREQaH6cu+C6/hzaZ4HWgG1VGAr34O/9DS37PSRZxGhdgJIEsZxzQFYvlE1aseIShQ3UXPhERaVyc\nuuAzHcgC/2woOR5MCzpTyt1UE8wI7uU1DtCV+8jnHsAfCMPDYxhVVescHL2IiMi1cepV+qwBXKHS\nHR7iB3aSxoeMJ4TFbGEYW4B8yqlbuPc18Bes1uYODVlERKS+1XvBnzBhAoGBgXTp0sXWVlpaSkpK\nCiEhIYwYMYKysjLbawsWLCAiIoLo6Gg2b95sa8/NzSUuLo62bdsyY8YMW3t1dTWpqamEhobSv39/\nfvjhhysHlB0Lq5dSfiiNr4nFG0ihkltZyylKeIho4K/AIOA+oAm+vgfrJRciIiK/FfVe8MePH8/q\n1asvaHvjjTcICQlh//793HDDDbz55psAnDx5ktdff53169fzxhtvMGnSJNuYKVOmMG3aNLKysti4\ncSPbt28HYPny5RQXF5Obm8vgwYN59tlnrxxQ5TPUHarfyg5+z1SCAfCmAjx3UeASDnj/ZEAwqakD\nfmUWREREflvqveD36dOHFi1aXNCWmZlJamoqnp6eTJgwgYyMDAAyMjIYPHgwISEh9OvXD8MwbHv/\ne/fuZfTo0fj7+zNy5MgLxtx55500adKEBx54wNZ+eTlAETAL6E8aAewAPrecpaRkC927+wEfnO9b\njsWy6IIvHiIiImZgl3P4WVlZdOzYEYCOHTuSmZkJ1BXvqKgoW7/IyEgyMjI4cOAArVu3trVHR0ez\nbds2oO7LQ3R0NAAtW7YkPz+fqqqqK7z7N8AYXNhHLI/TiR+432JhTf4xPDw8yMz8gISEVbi7D8Pb\nezhr1kzWZXkiImI6dnla3rVcCGCxWC45/sd2wzAumO/qc+8GnqKp53zcm1YQWw1jSmFcVBRfFBYC\nkJHxwZWnEBER+Q1KT08nPT39F/W1S8GPj48nNzeX2NhYcnNziY+PByAxMZF16/51+duePXuIj4/H\n19eX/Px8W3tOTg6JiYm2MTk5OURGRlJUVERgYCCenp6Xfe8hQwbw+ballHb0IfNAfzJxYbXXdiLP\nFDbQ1oqIiNhH//796d+/v+33Z5555rJ97XJIPzExkSVLllBRUcGSJUtISkoCICEhgTVr1nD48GHS\n09NxcXHB19cXqDv0v2zZMgoLC1m+fPkFBf/999+nvLycxYsX2+a6nH/84y/QPB++mQ75q6BoJf97\n7ll2WX0bdqNFRER+Q+q94I8dO5aePXuyb98+goODeeedd5g4cSKHDx8mMjKSY8eO8dBDDwEQGBjI\nxIkTGThwIA8//DDz58+3zfPSSy/xwgsvEB8fT58+fejRowcAt956K35+fkRFRbF69Wpmzpx5xXhc\nXV3hdABU3mVrq629kxM+UVcYJSIiYi6mv9OeYRj4B7en6PgsqP2x6H9O377L2LjxPYfGJyIiUp+c\n+ta6P25ekOv1dK09iy+1fIfBzrP5eHt7X2UGERGRxuNKBd8ui/Yc7aOPPmJC7XFmU/eUvFxgZGQk\naYcPOzgyERER+zD/vfSBlUuXkgz8EdgGnASKjxzBarU6NjARERE7cYqCP3DECCbjy0mCaUpT7gee\nBiYMGeLgyEREROzDKc7ht2p1E6cKH8YgGS+vR/Fv81/4u9RwvNiNgsJqR4cpIiJSL5z68bhnzpyh\nsDAcg5HgkkNlj5Ucu7eG3XdDYd8ahv5+qKNDFBERaXCmL/h33DEbOH+7Xq80SDj5rxe7wldZXzkk\nLhEREXsyfcE/eNAHD3YDH8O5dvC9x79ePA7BgcEOi01ERMReTH9Znqvr9/wHuyjnIdbVBPD9V1aK\njoPhBk1ONmFn9k5HhygiItLgTL+Hf9fICHpSRVNOM5j9/L3IypBvXFn/9FrK95fj4eFx9UlEREQa\nOdMX/FvvvJ2Fbm48AtwMPEYLvg/qQcdOnRwdmoiIiN2YvuDPeeABqmtqGAu8BvwnpfgfKaFPnz9z\n9OgxR4cnIiJiF6Yv+Dd//TWLgL9Qt7FWakgjF7fvTzN37gcOjk5ERMQ+TL9obzdQDmQBvsAnQBng\nxjFcXCyODE1ERMRuTL+H3wT4FggE+gFe59vutOwgKqDSkaGJiIjYjekLfkugGVAEfA8sBr4GnjJq\nyFu2zJGhiYiI2I3pC/5/0ZLDQABwFvhv6vbwATz0tDwREXESpi/4bSnCClQB1cDfAHdgm5cX3v36\nOTI0ERERuzH9oj0PoJpWFOJNd34gx6WGqlGj2JeUxJOPP+7o8EREROzC9I/H7U4AJ1tWUOVj5VyJ\nFx3OwrbKIiwWrdAXERFzudLjcU1f8OPdwMMFTljgUBtwLfWk6pRW54uIiPlcqeCb/hx+bA3ccg5S\nqmDhIeh7torFf33T0WGJiIjYlekLfoArvNMMqj3BAvyuEj55ZpajwxIREbEr0xf8l3vDgYmweCx8\n2RL8AKqqHR2WiIiIXZl+lX7cPui8C3K9YOMNMKgIOv4u2dFhiYiI2JXp9/C7n4AtxU3YlR8Ouzuz\nHjiZd4j169dTW1vr6PBERETswvSr9F8BlhDD9/TmLEegeTr0LgYrBOUHcSjjEG5upj/QISIiTsCp\nV+lvATpwEh/aAn8HekEskAjHux5n4pSJjg1QRETEDkxf8J8DNrU+Tln7P0FQV6i+ASoAK1AGazas\noayszMFRioiINCzTH9K/3qMpWFuT7xFOTbMD4HISxlfCF0BUXT+f7T4c2nSIli1bOjReERGRX8Op\nD+lHuZZzXbODtHffiufJVKj2hneBRKBt3U/ZgDJGPzDawZGKiIg0HNMX/AerYOFpCHSrwL35fKhq\nQUAF0PQnnXxg666tVFbqlrsiImJOpi/4f62FMTSjqMyV6PIivM/mc3sRWNYAted/voDyDuWsSFth\nG/fajBn8OS6OaT168I+//c1B0YuIiNQP01+PZgV6cZaT51pxHdXEcYrFHu64HqyGJVDjQ92q/aZg\n1Nad9/js7bdpt2ABj5xfzPfqk0+S07070V26OGw7REREfg3T7+EHNoWVfha+c/PnH/TgE3phPbeK\nmuIF1JyJriv2gZBQkMDwW4YD8O2GDQz+ycr9ofn5bF+/3kFbICIi8uuZvuAfK4euxdU0rzlKBXCK\nOCAQeAzKxhGSE8KsoFmsf3893t7eAIR06cIud3fbHNuaNyeyRw+HxC8iIlIfTH9Iv8gTAjzAYinG\n27qZmvIwDDYDXYBwOrXrxNNTn75gzIRp05j13Xes2LKFSldXgseOJbF3b0eELyIiUi9Mfx1+DFDq\n6sKhAH88Kw0CiptwiNnACLDcyonjS2nTps0lx587dw5XV1dcXV3tGreIiMi/w6mvw28JWK3NaFLY\njPIB5ZxqVUwQT+FCMpGBxQQGBl52rIeHh4q9iIiYgukL/lZLFw67xFJq8YYV91LezJVgTtCTMg6d\neYL3319x9UlEREQaOdMX/Hjje0JrCzFqOkPtZox/diKTVL6mOU0q57N1a/ZFYwzDoKCggKKiIgdE\nLCIiUv9Mv2ivwKWcNsZ3+Fly+LY2GYO2GDwIhFLEbWzfvp/a2lpcXOq++9TU1DBq1HQyM2/AxaWS\nW26pYfHip7BYLI7dEBERkV/B9Iv2gvHGBVhLBYMI5xA3U3c7nhhgJ+7ud/Dpp7UMH34zAHPmvMWs\nWT2pqekEQJMmn7N0qQcpKb9z1GaIiIj8IldatGf6PfzWVFAODHaB47XPAuPOv/IhkEt1dRsKC/fY\n+u/de4yaGl9gOuDG2bPNyM72IyXF7qGLiIjUG9Ofwz9GcwpoS0GwN5ag+4Hi86/0BW6gXbs3GT58\ngK3/0KGJuLg8BfwZmA104cSJQrvHLSIiUp9MX/BbuJTg6pnPuUNdONfKB3z/fP6Vz4ASIiJcCQgI\nsPWPiLgON7cUwPt8y83k5lbYOWoREZH6ZfqC71pbi39VOX3IpOu3NWD9GLgHV94Fojh1qvaC/q1a\ntaJlyyM/aTmLr6/VniGLiIjUO9MX/HJcKcGXs3gwlyJ6nS0C/oqVV4D+lJScvKD/9ddfz4MPNuO6\n617Cx+dTunV7goULH3ZI7CIiIvXF9Kv0W9ECP4ppgkEIkAD8B98Bx8DvT4xJHsKHHz530djjx49T\nWFhIhw4d8PLysnfoIiIi18ypV+l7cg4vaqkG8vCmGZXAaQj9E9z2HeeKO1xyXFBQEEFBQXaNVURE\npKGY/pC+K+UANAUqqSALT8Jdh8Ed34EvlFpLHBugiIiIHZi+4LsDBwnlHBZuAv4/ldxjPUPoBnDP\nd6d7RHdHhygiItLgTH8O3wdPyggHXMkgmzTgNLC+STNK2ofz/Y5v9EQ8ERExBad+PK4nVYSyB+jA\nWjw5BVTgwdGzL2OcHk1VVZWjQxQREWlwpi/43kAF0JwvmM/1bAOWM4oz3Ie7ewkeHh4OjlBERKTh\nmb7gzwdCgRKgsGkV8b7wO1bg3/xp7r8/Ejc301+oICIiYv7L8kYC5cAEyqi9p4y318Lu0nIi7jjB\nk08+7eDoRERE7MP0e/gA11H3QFxaw7nh8GJTiOja1cFRiYiI2E+jLfhfffUVUVFRREREsHDhwsv2\nKwaeAwza1DW4wq6wUO544AG7xOls0tPTHR2CU1G+7U85ty/lu/402oL/hz/8gUWLFrFu3Tpee+01\nCgsv/QjbAdRdhkdiOVRC6PYQVqzdgru7uz3DdRr6cNqX8m1/yrl9Kd/1p1EW/OLiumfa9+3bl9DQ\nUAYNGkRGRsYl+/paYCfeDA/tzSTXSWz9YJtumSsiIk6nUS7ay8rKomPHjrbfo6Oj2bZtG0OGDLmo\n78Za095XSERE5BdrlAX/WlgsFkeH4HSeeeYZR4fgVJRv+1PO7Uv5rh+NsuDHx8czdepU2+/Z2dkM\nHjz4on4mvmuwiIjINWmU5/D9/PyAupX6eXl5fPHFFyQmJjo4KhERkd+uRrmHD/Dqq6/y4IMPUl1d\nzaRJkwgICHB0SCIiIr9ZjXIPH6Bfv37k5uZy4MABJk2adMFrv/QafbmyI0eOMGDAADp16kT//v1Z\nunQpAKWlpaSkpBASEsKIESMoKyuzjVmwYAERERFER0ezefNmW3tubi5xcXG0bduWGTNm2H1bGhOr\n1UpsbCzDhg0DlO+GVl5ezj333EOHDh2Ijo4mIyNDOW9gb731Fj179qR79+5MnjwZ0P9zuzBMKCYm\nxti4caORl5dnREZGGgUFBY4OqVE6ceKEsXPnTsMwDKOgoMAIDw83SkpKjLlz5xqPPvqoUVlZaTzy\nyCPGiy++aBiGYeTn5xuRkZHGoUOHjPT0dCM2NtY2V3JysrFs2TKjsLDQ6NWrl5GVleWQbWoMXn75\nZWPcuHHGsGHDDMMwlO8GNmXKFGPmzJlGRUWFUV1dbZw5c0Y5b0CnTp0ywsLCjLKyMsNqtRrJycnG\n6tWrlXM7aLR7+JdzLdfoy5W1adOGmJgYAAICAujUqRNZWVlkZmaSmpqKp6cnEyZMsOU3IyODwYMH\nExISQr9+/TAMw/Ytfe/evYwePRp/f39Gjhypv8llHD16lFWrVnHffffZFp0q3w1r3bp1TJ8+HS8v\nL9zc3PDz81POG5C3tzeGYVBcXExFRQVnz56lefPmyrkdmK7gX+4affl1Dhw4QHZ2NgkJCRfkuGPH\njmRmZgJ1H8yoqCjbmMjISDIyMjhw4ACtW7e2tetvcnmPP/44L774Ii4u//poKt8N5+jRo1RWVjJx\n4kQSExOZO3cuFRUVynkD8vb25o033iAsLIw2bdrQq1cvEhMTlXM7MF3Bl/pXWlrK6NGjmTdvHj4+\nPtd0ueOl7oNwLeOdycqVK2ndujWxsbEX5Ej5bjiVlZXs27ePUaNGkZ6eTnZ2Nh9//LFy3oAKCgqY\nOHEiOTk55OXlsXXrVlauXKmc24HpCn58fDx79uyx/Z6dnU1SUpIDI2rcqqurGTVqFHfddRcpKSlA\nXY5zc3OBukUz8fHxACQmJpKTk2Mbu2fPHuLj42nfvj35+fm29pycHP1NLmHLli2sWLGC8PBwxo4d\ny4YNG7jrrruU7wbUvn17IiMjGTZsGN7e3owdO5bVq1cr5w0oMzOTpKQk2rdvj7+/P7fffjubNm1S\nzu3AdAVf1+jXH8MwSE1NpXPnzraVtFD3AVyyZAkVFRUsWbLE9iFLSEhgzZo1HD58mPT0dFxcXPD1\n9QXqDtEtW7aMwsJCli9frr/JJcyZM4cjR45w8OBBli1bxsCBA3nvvfeU7wYWERFBRkYGtbW1fP75\n59x0003KeQPq06cP27dvp6ioiKqqKtLS0hg0aJBybg/2XyfY8NLT042OHTsa7dq1M+bPn+/ocBqt\nTZs2GRaLxejWrZsRExNjxMTEGGlpaUZJSYkxfPhwIzg42EhJSTFKS0ttY1599VWjXbt2RlRUlPHV\nV1/Z2rOzs43Y2FgjLCzMePLJJx2xOY1Kenq6bZW+8t2w9u7dayQmJhrdunUzpkyZYpSVlSnnDeyd\nd94x+vbta/To0cOYOXOmYbValXM7sBiGTnyIiIiYnekO6YuIiMjFVPBFREScgAq+iIiIE1DBFxER\ncQIq+CImc/r0acaPH0/btm3p1KkTQ4YMYf/+/fU2/8aNG9m6desV+1RWVnLLLbfQvXt3vv7661/9\nnvfeey+fffbZr55HxJk12sfjisilpaam2m4/2qpVK7Zt28bx48eJiIiol/m//PJLfH19ufHGGy/b\nZ+3atbRu3ZpVq1bVy3taLJZL3l3tcqxWK66urvXy3iJmoT18ERMpKytjx44dPPfcc7Rq1QqApKQk\n+vXrx6JFi+jZsydDhgwhPT0dgPT0dNtjeAEeffRR3n33XQDCwsJ4/vnn6dq1K0OHDuXgwYPk5eWx\naNEi5s2bR2xs7AWPKv3Rrl27eOyxx1i1ahVxcXFUVlbi4+Nje/3TTz9l/PjxQN2e+7Rp0+jZsyc9\nevRg3bp1tn4LFy6ka9eu3HzzzZw5c8Z269S9e/fa7n3/yCOPcOrUKQD69+/PjBkz6NGjBwsWLKjH\nrIqYgwq+iImsWrWKPn36XNS+e/du3n33XdLS0njllVe4//77Lzn+p3vSFouFiooKdu/ezY033sh7\n771HWFgYDz30EH/84x/ZuXMnvXv3vmiOmJgYZs+ezZgxY9ixYwdeXl4X7J3/fE/922+/ZcOGDcyf\nP585c+YAsGPHDj788EM2b97MvHnzWL16tW3c1KlTmT59OhkZGXTq1Im3337bNu/BgwfZsmULjz/+\n+L+RPRFz0yF9ERO53GHvlStXctttt+Hn54efnx8dOnT4RY8SvfvuuwEYOHAgs2fPBupuuXy1+3X9\nkj4/xnv77bfj5eXFjTfeyI4dOwBIS0vjtttuo1mzZkRHR9tumXry5Ek2bdrE8OHDgbpD92FhYbb5\nxo0bh4eHx1XfV8QZqeCLmEhycjJTp069qN1isVxUgC0WC97e3lRVVdnafjw8/qMWLVoA4O7uTmVl\npW3c1fy8z0/Pp//8PZo3bw6Ai4sLVqv1kvH+OF9tbS3+/v7s3Lnzku8bFBR01dhEnJUO6YuYiI+P\nD3FxccycOZOCggIAsrKy6NWrF8uXL6e4uJh9+/axf/9+EhIS6NatGzk5OZSVlXHs2DHWrl171fcI\nDQ21zX05P/9yERcXx9atWykvL+ejjz666peG5ORkli9fTklJCbm5ubbnnLdp04bw8HA+++wzDMOg\nurr6giepicjlqeCLmMzbb7/N0aNHSUhIoHPnzsyePZugoCDuvvtukpOTmTx5Mm+99RYAXl5ePPHE\nEyQlJTFhwgQGDRp0yTl/em5/0KBBbN++ndjY2MtecvfzVfXTp09n0qRJDBw4kO7du1/U9+f/jo2N\nZcyYMfTu3ZvJkyeTnJxs6/P666/z5ZdfEhMTQ2xs7FUvERSROnp4joiIiBPQHr6IiIgT0KI9Efm3\nzZkzh08++eSCtjvuuIOnnnrKQRGJyOXokL6IiIgT0CF9ERERJ6CCLyIi4gRU8EVERJyACr6IiIgT\nUMEXERFxAir4IiIiTuD/AB4fM8YK1oM0AAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x109170dd0>"
]
},
{
"metadata": {},
"output_type": "display_data",
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06tWL06dPA3DmzBl69eqFra0t48aNY+7cubi4uJCdnc2MGTOoU6cOHTp0oGbN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\nJFtWAAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x10917f450>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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HZGQkderUISwsjFOnTpXWZYiIiNiEUkv4M2fOJDAw0HIX5dy5c/H19eXw4cP4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\nkvCFEEKISkASvhBCCFEJ/D+rMFhVKKsH4QAAAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x1095cacd0>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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TcXJywtzc/J7x3JkECCGEEJXJP7/cvv/++490vM67A2bNmsWFCxc4f/484eHh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\n/wNqsZb3cfodDQAAAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x109161b10>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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V+btzZ/qNHl0g7ffu3RtfX18OHDhAXFwc33//PRcvXsxXwk9LS+PHH38kPj4e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\n5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HMgjaSkZpQuHUxAQFFU0pvuqKzzJkSGsWlzLCc7dWKSry/v5spFb3t7tk6fTpugIPLn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\nR0dH5wVAV/g6Ojo6OjovAP8PMt+cDgJKmjAAAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x108604850>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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AcHFxYUDDAThEOEAMuB1yI+DFAGuXJSL3qYCvv4a332bqo4/C228X6ADFwYMH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\nQoHOmBdQ1QAAAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x109711d50>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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8vLzo378/+/btA2D//v30798fDw8Pxo4dy6xZswgICKCgoICpU6fSuHFjunTp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\ntwd9nLcAAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x108f02a50>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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LIzIykgYNGhAWFsaZM2fK6jJERESkGGVWRMycOZPAwEDL6Nl58+bh6+vLkSNH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\nAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x108f3bc90>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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kJCTQrFkzWrduzZ49ewAYO3Yso0eP5vnnn8fV1ZXevXtz4MABAA4ePEjv3r2p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\nQlgBKfhCCCGEFZCCL4QQQliB/weih2PkZeWKQgAAAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x1098e36d0>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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rXwc3DhgwgDFjxjBz5kwaN27MwYMH2bhxI+XKlTPvk9ejlEuWLKFevXq4uroS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\nC0IIIYR4KAkWhBBCCPFQ/w+gbgEiYRCAMgAAAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x108f36510>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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qTJ8+nYKCAipUqMDOnTtJTEykadOm+Pv7c+jQIQDGjBnDyJEjmTVrFm5ubvTq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\nJkAKvhBCCGECpOALIYQQJuD/AYOoLQ/GCXcIAAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x1098e04d0>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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TkxNvvPEGAMnJyfTu3Rtra2v69OmT517TVatW0bhxY5o1a5bn1pDQ0FCcnZ2x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BxZREaFL7hsWE4hK/qrkIPgLFXFeWUfeBUcDgf78ORPlZ6BQiBPaW8sd6RuNa4bo5bSZjabryo3\npLoPKgP+D1kpEGATV/99rse3335LBJcffH6geLAhDWzN0k9NUU/tawRMQJ7h/4Q0eCq4WCw8iux8\nCJAFzL/N59YnDh3irhpR+d1tNv73e7WKBF1atKDJ+fOAvL96eXpSWFhouJJm+/bt6bZiBU+tXIm7\nzYZb374sfPppJR1ulm3btjG90tiD/Ltu27PntupglHrr0k9MTKRLly506tSJNTcReKK5NvtpxRpM\n5CIL235FAP7+/r8mVk3oXQMr+9lX0ZhGLdXyU7258mHaBAy35wX5YH0J+AaZ/z4JdfdrqauMQC5E\nBkclgdI8+Pr64oWZJ5E11zcCpitM56/TCCdTMDETeAC5kFHZCXXp0oXtjOVB2rOIFgymN2mEKOlQ\niHTnC2Ra3irAx2CRFoDRo0dzGjmHRciaAKp/C29kvsV05AIQoKnCMVNkZCSnubzQKEOmSapwEdm0\nx4E85pgPigmO4OnqShzwD2TjGKuix+iZ2Fhme3iQisyamOHmxpJ31IIwa5KQkKAs03PQID6u8T3Y\n4e1NuOqxQqtW1YmZAjgXGKhUSRNg1MSJrEhK4vkjR1i0YcNtj9Tv0KEDpypjDhKQG4wKhRLFtxVR\nTwkPDxdffvmlSE9PF507dxa5ublXvaYef7w6Qac2I4WVf4oAHhSujBDN/QYryWdkZAhf93ECygU4\nhYfLXLF9+y6lMX7Xtav4RJYHEadB3O3hoST/xhtviL+AWAbiSRAfguihOEZXC2I3iJUgtoC4zxVx\n8uRJw/JpaWmiJx4iC8SzIBbiITr7BSjp0NHDT2wG4QBRCGIQJnHhwgXD8ufPnxfuDBNQLOAnAUni\nDnM7JR0GBAWJ+SCmgPgTiNEg9u3bZ1i+qKhI/A7EVhArQHwOIhqTkg73dOsmngbhBLEIxFgQmzdv\nVhojHMQjlX+LySB6uLsryb+6YoXoCWIoiCEgeoD4bOdOpTEWTpwolplM4jCIv5rN4tlp05TkhRDi\nxx9/FI+OGiUeGT5cnD59Wlm+Js8+++wNyW3btEn8JTJSLI6IEK8vWqQsn5OTI+b07y+eaddOzA4L\nEwcSE29Ij9pmSmSkWG0yid+DGOvhIY4cOVJrulzP7tVLi1hQUCDCw8Orrx9//HGxffv2q16nDf7N\ncfHiRTFo0CwR1HK6aNmyh8jOzlYeIzX1uOh/1zTRO3KqiItTM/ZCCOF0OsVjMTHiHl9fMbZrV1FS\nUqI8xtRhw8Q4EA+D6OPmJux2u5J8enq6CLcgploQwyyIWVMnKeuQmJgoOuAlmmERfTuGKssLIUT/\nO0NEFFYRgrtITk5Wlt++fYdwI1K48V+imVc3YbPZlMe4p1MnMQJEfxBvb9qkLL9+1SpxL4hZIO42\nm8WPP/6oPMbw7t3FABBBIJb99a/K8jabTfxXaKjo6+YmHhoxQjidTuUx3vjb30SkxSKirFbxf++/\nrywvhBC74uPFs/Pmid1ffHFD8reSGzX4twqHw1Gr738r+Prrr8W4ceNEQUFBrerxH2fw4+PjxYQJ\nE6qv165dKxYvXnzV67TBv3XU9gOhLqC6UPgl9DxK9FzWLfRc3hrqwjxez+6ZKl9Qr9i1axexsbFs\n2SJbkKxbt45z586xdOnSK15X14sgaDQajUZzq7mWWa+XUfpRUVHMnz+/+jolJYXhw4df9bp6uJbR\naDQajeY3oV5G6fv5yQ5biYmJpKenEx8fT+/evWtZK41Go9Fo6i71cocPsHr1ambMmIHNZmP27NmG\n8zY1Go1Go2mI1MsdPsDdd99Namoqp06dYvY1yjkuWbKEoKAgIiIiiIiIYMeOHbdZy/qPrndwa2jb\nti3du3cnIiKCXr1U68M1bKZNm4a/vz+hoaHVvysqKmLMmDG0bt2asWPHUlys1legofJLc6mfk+pk\nZGQwaNAgQkJCGDhwIO+++y5Q9+/LemvwjWAymZg3bx5JSUkkJSX94jm/5vrMmTOH9evXs2vXLl5/\n/XXOV1bF0qhhMplISEggKSmJ/ftVi/s2bB5++OGrjNDatWtp3bo1J0+eJCgoiHXr1tWSdvWLX5pL\n/ZxUx2Kx8Morr5CSksL777/P4sWLKSoqqvP35X+0wQcduHczXKwsmzlgwADatGnDPffcw759+2pZ\nq/qLvhdvjP79+19VfW3//v1Mnz4dNzc3pk2bpu9Lg/zSXIK+N1Vp0aIF4eHhADRt2pSQkBAOHDhQ\n5+/L/3iDv2bNGvr06cPy5cuV6583dA4cOEBwcHD1ddeuXdm7d28talR/MZlMDB48mLFjxxIXF1fb\n6tR7at6bwcHB2mtyk+jn5I1z6tQpUlJS6NWrV52/L+u9wR82bBihoaFX/cTFxTFz5kzS0tLYuXMn\np0+fZv369bWtrqaB8tVXX5GcnMyyZcuYN28e2dnZta1SvUbvSG8d+jl54xQVFTF+/HheeeUVvL29\n6/x9We8Nfnx8PN9///1VPzExMTRv3hyTyYSfnx+PPfYYH374YW2rW6+Iiori2LFj1dcpKSn06dOn\nFjWqvwQEyGaqXbp0ISYmho8++qiWNarfREVFkVrZ9zw1NZWoqKha1qj+op+TN4bNZuP+++9n0qRJ\njBkzBqj792W9N/jXIysrC5C9wN99911GjhxZyxrVL3S9g1tDaWlptZs0NzeXnTt36sCom6R3795s\n3LiRsrIyNm7cqBeiN4F+TqojhGD69Ol069aNuXPnVv++zt+Xv3lh31pk0qRJIjQ0VPTs2VM88cQT\nSt3FNJKEhAQRHBwsOnToIF599dXaVqde8sMPP4iwsDARFhYmBg8eLGJjY2tbpXrFhAkTREBAgLBa\nrSIoKEhs3LhRFBYWipiYGNGqVSsxZswYUVRUVNtq1guq5tJisYigoCARGxurn5M3wJ49e4TJZBJh\nYWEiPDxchIeHi08//bTO35f1spa+RqPRaDQaNf6jXfoajUaj0Wgk2uBrNBqNRtMA0AZfo9FoNJoG\ngDb4Go1Go9E0ALTB12gaEBcuXKhukhIQEFDdNKVHjx7Y7fYrXrt69WrKysp+dcyBAwdy8ODB30pl\nlixZwqpVq36z8TWahkK9bY+r0WjUadKkCUlJSQA899xz+Pj4MG/evF987auvvsqkSZPw8PC47pgm\nkwmTyXTLdQWZG/5bja3RNDT0Dl+jacAIITh48CAPPPAAUVFRrFq1Crvdzt///ncyMzMZNGgQQ4YM\nAWQJ1qioKO666y42bNhg+D28vb1ZtGgRwcHBzJ07l4KCAgDOnTvH/Pnz6du3L1OmTCEtLQ2AqVOn\nMm/ePHr37s2CBQuuGGvDhg2MHDmSS5cu3aIZ0GgaDtrgazQNnBkzZvDkk0+SmJjInj17iI+PZ/bs\n2QQGBpKQkMDnn38OwIsvvsiBAwdISEggNjaWkpISQ+OXlpbStGlTUlJScDqdxMbGAvDMM88wYcIE\nvvnmG8aPH8+KFSuqZQ4dOsSuXbtYuXJl9e9ee+01PvnkE7Zt24a7u/stnAGNpmGgXfoaTQOmtLSU\nioqK6pLJEydOJC4ujhEjRlz12vj4eDZt2kR6ejq5ubl88cUX3Hvvvb/6HiaTiSlTpuDi4sLkyZNZ\nuHAhc+bM4ZNPPuHQoUO/+Ppx48bh4+MDSC/EW2+9RatWrdi2bRsuLi43+ak1moaJNvgaTQPm54U2\nhRC/eGZeVFTEggUL2LNnDy1btuS+++4jPz//ht/X6XRiNpvZu3cvbm5uV/1/VbMhkAuA0NBQkpOT\nycjIoG3btjf8vhpNQ0a79DWaBoyXlxdubm7s37+fsrIytm7dSkxMDABt2rQhJycHgPz8fCwWCy1a\ntODEiRPVbn4jCCHYvHkzDoeDzZs3M2LECKxWKyNHjmTt2rU4HA6EEHz33XfXHCMiIoJ169YRExNT\n3exFo9GooQ2+RtOAMZlMrFu3jpdffpkBAwYQHR3N0KFDAXjkkUeYPHkyQ4YMoXXr1tx///1069aN\nP//5z4Zc+VV4eXmRk5NDSEgIJpOJ6dOnAzJLIDs7m8jISLp160ZcXNwVev1cz+joaFauXMmoUaPI\ny8u7BZ9eo2lY6OY5Go3mN8XHx6e6PbBGo6k99A5fo9H8pug8eo2mbqCD9jQazS2hT58+lJeXX/G7\nt99+m8LCwlrSSKPR1ES79DUajUajaQBol75Go9FoNA0AbfA1Go1Go2kAaIOv0Wg0Gk0DQBt8jUaj\n0WgaANrgazQajUbTANAGX6PRaDSaBsD/B54gqQV9rAyMAAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x10848d950>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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x3DAu/RYYm+2XD1MwDMMx/Me/cC5l3vHx8Y5/R0dHEx0dfck5RERErmZ2u71c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\nTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x109852410>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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fHx/S09PJz8+viFURERGxhHJ/Wt6qVavw9fUlLCwMu93uGDeMq78Exmb79c0U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\n4RMREUmACZ+IiEgCTPhEREQS+A+2Pv0DAtjorAAAAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x10985a410>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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nJycGDRpEeHg4AOHh4XTr1g1vb2/at2+PYRiWo//o6Gj69u1LpUqV6N27d551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\nsG9fQtVqwnTpBwO3bGyYULUq4xs3ZsQff7xRifxt8vfzY0zTpoxv3Jj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YOmYMSdHR9P38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\nfEmSJEn6APwfYSBIx8ktP9oAAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x109913cd0>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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CiImJsbYbxs3f82qxXD+ZgmEY1vafvuHcTN9RUVHW38PDwwkPD7/pOkRERG5n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\n+JIkSZJUDvw/XQqQDD7JnGQAAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x10a4cd490>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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W8PPz83F1deX1118HIC0tjd69e2NnZ0efPn2KzDVdvnw5TZs2xdnZucjUkIiI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\nAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x10a4d1e50>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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MmzaNOnXq0L59e2rWrMmkSZMs53V9puIyax4H2zEZdly2mUwm8vPz9cslIoWY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\nHERERKTR1DiIiIhIo/0/MSl/re56AAwAAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x10b1c4450>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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OIyJcf85wkdtBSX/D1/vbtrvAFxHR/w1yu/szga/TWxERETugwBcREbEDZRb4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\nyBD27NlD27ZtiY6OpmrVqgDMnTuXefPmUaFCBRYtWk
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