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@cytms
Created April 1, 2014 08:33
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{
"metadata": {
"name": ""
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "heading",
"level": 1,
"metadata": {},
"source": [
"\u300c\u8a02\u95b1\u300d\u529f\u80fd\u5206\u6790"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"%pylab inline --no-import-all\n",
"\n",
"from pylab import *\n",
"import prettyplotlib as ppl\n",
"from prettyplotlib import plt\n",
"import numpy as np\n",
"import MySQLdb\n",
"import math\n",
"\n",
"db = MySQLdb.connect(host=\"localhost\", user=\"root\", db=\"cookpad_production\")\n",
"cur = db.cursor()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Populating the interactive namespace from numpy and matplotlib\n"
]
}
],
"prompt_number": 1
},
{
"cell_type": "heading",
"level": 3,
"metadata": {},
"source": [
"\u4f7f\u7528\u300c\u8a02\u95b1\u300d\u529f\u80fd\u4eba\u6578\u6bd4\u4f8b"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"cur.execute(\"SELECT COUNT(DISTINCT follower_id), COUNT(DISTINCT following_id) FROM follows\")\n",
"partial_user_count = cur.fetchall()\n",
"\n",
"cur.execute(\"SELECT COUNT(*) FROM users\")\n",
"all_user_count = cur.fetchall()\n",
"\n",
"figure(1, figsize=(5,5))\n",
"pie([partial_user_count[0][0], all_user_count[0][0]-partial_user_count[0][0]], labels=[u'using', u'not using'], autopct='%1.1f%%', startangle=90)\n",
"title(u'follower')\n",
"show()\n",
"\n",
"figure(1, figsize=(5,5))\n",
"pie([partial_user_count[0][1], all_user_count[0][0]-partial_user_count[0][1]], labels=[u'people who is followed by sb', u'others'], autopct='%1.1f%%', startangle=90)\n",
"title(u'followed')\n",
"show()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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Q3XYO8ewbgcbl/b089doQwoNwWg34wWEyQFxoOOaEFporgm/o7kt6Tj5BE8eo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\n",
"text": [
"<matplotlib.figure.Figure at 0x113a87ad0>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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vNbltHK89qJspDgFRWJ8V5JBbvE7rGOIUssSMPqw/+A4fHt2idYwLovvCqnTa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\nQgjdkMISQuiGFJYQQjeksIQQuvH/VhWJUqO3xYwAAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x113e76550>"
]
}
],
"prompt_number": 2
},
{
"cell_type": "raw",
"metadata": {},
"source": [
"\u7531\u4e0a\u5217\u5716\u4e2d\u53ef\u767c\u73fe\u4f7f\u7528\u4f7f\u7528\u300c\u8a02\u95b1\u300d\u529f\u80fd\u8005\u4f54\u5168\u4f54\u4f7f\u7528\u8005\u7684\u56db\u6210\u3002\n",
"\u800c\u88ab\u8a02\u95b1\u8005\u70ba\u50c5\u4f54\u5168\u7ad9\u4eba\u6578\u76841%\u3002"
]
},
{
"cell_type": "heading",
"level": 3,
"metadata": {},
"source": [
"\u300c\u8a02\u95b1\u300d\u6b21\u6578\u7d71\u8a08"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"cur.execute(\"SELECT COUNT(follower_id) FROM follows GROUP BY follower_id\")\n",
"counter = cur.fetchall()\n",
"\n",
"import math\n",
"counts = []\n",
"\n",
"for c in counter:\n",
" counts.append(math.log(c[0], 2))\n",
"\n",
"fig = plt.figure(figsize=(10, 6))\n",
"ax = fig.add_subplot(111, xlabel=u'log (frequency of use) base 2', \n",
" ylabel=u'number of user',\n",
" title=u'Frequency of Use Statistics')\n",
"\n",
"ppl.hist(ax, counts, grid='y')\n",
"show()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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AP2c288OzQ85jzJgx7iJVVlamHTt2qH379nrjjTe8EtCT5s2bp/Hjx/s6Bi7C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\nAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x10ee57c50>"
]
}
],
"prompt_number": 26
},
{
"cell_type": "raw",
"metadata": {},
"source": [
"\u4f7f\u7528\u6b21\u6578\u70ba4(2^2=4)\u52308(2^3=8)\u6b21\u7684\u4f7f\u7528\u8005\u4eba\u6578\u6700\u591a\uff0c\u7d04120000\u4eba\u3002"
]
},
{
"cell_type": "heading",
"level": 3,
"metadata": {},
"source": [
"\u4f7f\u7528\u300c\u8a02\u95b1\u300d\u529f\u80fd\u8005\u5e74\u9f61\u5206\u5e03"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"cur.execute(\"SELECT users.birthday, users.gender, users.id FROM (SELECT DISTINCT follower_id FROM follows) f JOIN users ON f.follower_id=users.id\")\n",
"users = cur.fetchall()\n",
"\n",
"ages = []\n",
"ages_category = []\n",
"\n",
"for i in range(8):\n",
" ages_category.append([])\n",
" \n",
"for date in users:\n",
" if date[0] is not None:\n",
" age = 2013 - date[0].year\n",
" if age < 80: # Some people born before 1900...\n",
" ages.append(age)\n",
" ages_category[age/10].append(date[2])\n",
"\n",
"for i in range(8):\n",
" print str(i) + \"1-\" + str(i+1) + \"0: \" + str(len(ages_category[i]))\n",
" \n",
"fig = plt.figure(figsize=(10, 6))\n",
"ax = fig.add_subplot(111, xlabel=u'range of age', \n",
" ylabel=u'number of user',\n",
" title=u'Users\\' Age Statistics (Follows)')\n",
"ppl.hist(ax, ages, grid='y')\n",
"show()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"01-10: 18\n",
"11-20: 1816\n",
"21-30: 9834\n",
"31-40: 11558\n",
"41-50: 4465\n",
"51-60: 1107\n",
"61-70: 202\n",
"71-80: 20\n"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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zRuXl5Tp06JCWL1+uoKCg6qgNAAAALrgcmZsxY4b2798vLy8vRUdHy8fHR9Om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\nAMDCCHMAAAAWRpgDAACwsP8HUSav8mFg3YAAAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x116f137d0>"
]
}
],
"prompt_number": 7
},
{
"cell_type": "raw",
"metadata": {},
"source": [
"\u7531\u4e0a\u5716\u53ef\u770b\u51fa\u4f7f\u7528\u6536\u85cf\u529f\u80fd\u8005\u4ee531-40\u6b72\u7684\u4eba\u5c45\u591a\uff0c\u518d\u4f86\u662f21-30\u6b72\u6b21\u4e4b\u3002"
]
},
{
"cell_type": "heading",
"level": 3,
"metadata": {},
"source": [
"\u4f7f\u7528\u300c\u8a02\u95b1\u300d\u529f\u80fd\u7537\u5973\u6bd4"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"genders_count = {\"male\":0, \"female\":0, None: 0}\n",
"genders_category = {\"male\":[], \"female\":[], None:[]}\n",
"\n",
"for gender in users:\n",
" if gender[1] in (\"male\", \"female\", None):\n",
" genders_count[gender[1]] +=1\n",
" genders_category[gender[1]].append(gender[2])\n",
"\n",
"figure(1, figsize=(6,6))\n",
"pie(genders_count.values(), labels=genders_count.keys(), autopct='%1.1f%%', startangle=90)\n",
"title(u'Users\\' Gender Analysis (Follow)')\n",
"show()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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YzsHesWkRHLy2kJHfL8fOxXLOe3dzW0VOTrf7vr2iuJCT043atYdTVOSL2eyC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\nNFL2eoWwNntffIruTdqrHaPcWFXxtvI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"text": [
"<matplotlib.figure.Figure at 0x116f04790>"
]
}
],
"prompt_number": 6
},
{
"cell_type": "raw",
"metadata": {},
"source": [
"\u7531\u4e0a\u5716\u53ef\u770b\u51fa\u7ad9\u4e0a\u4f7f\u7528\u300c\u8a02\u95b1\u300d\u529f\u80fd\u8005\u7d04\u4e03\u6210\u70ba\u5973\u6027\u3002"
]
},
{
"cell_type": "heading",
"level": 3,
"metadata": {},
"source": [
"\u4f7f\u7528\u8005\u4f7f\u7528\u300c\u8a02\u95b1\u300d\u529f\u80fd\u6642\u9593\u5206\u6790"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"from datetime import datetime, timedelta\n",
"\n",
"cur.execute(\"SELECT created_at, follower_id FROM follows\")\n",
"use_time = cur.fetchall()\n",
"\n",
"arr = np.zeros(56).reshape((8, 7))\n",
"\n",
"for d in use_time:\n",
" if d[0] is not None:\n",
" dd = d[0] + timedelta(hours=8)\n",
" arr[7-dd.hour/3][dd.weekday()] += 1\n",
"\n",
"fig = plt.figure(figsize=(10, 6))\n",
"ax = fig.add_subplot(111, xlabel=u'weekday', \n",
" ylabel=u'time (o\\'lcok)',\n",
" title=u'Users\\' Activity Pattern (Follows)')\n",
"\n",
"# print arr\n",
"\n",
"ppl.pcolormesh(fig, ax, arr, \n",
" xticklabels=[u'Sun', u'Mon', u'Tue', u'Wed', u'Thur', u'Fri', u'Sat'], \n",
" yticklabels=[u'21-23', u'18-20', u'15-17', u'12-14', u'8-11', u'6-8', u'3-5', u'0-2'])\n",
"fig.savefig('follows_time.png')"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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dC5VKhe3bt9f7PC8vDzNnzkRUVBQmTJiAjz76yAZREhER2bfaZu7GvFqDFlVRqqqqwiuv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\n",
"text": [
"<matplotlib.figure.Figure at 0x11d138b50>"
]
}
],
"prompt_number": 9
},
{
"cell_type": "raw",
"metadata": {},
"source": [
"\u4f7f\u7528\u8005\u4f7f\u7528\u8a72\u529f\u80fd\u6700\u70ba\u983b\u7e41\u6642\u6bb5\u70ba\u661f\u671f\u516d\u665a\u4e0a9\u9ede\u523011\u9ede\u3002"
]
},
{
"cell_type": "heading",
"level": 3,
"metadata": {},
"source": [
"\u4f7f\u7528\u8005\u751f\u547d\u9031\u671f\u7d71\u8a08"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"result = {}\n",
"\n",
"for user in use_time:\n",
" if user[1] not in result:\n",
" result[user[1]] = np.zeros(24)\n",
" result[user[1]][(user[0].year-2011)*12+user[0].month-9] += 1\n",
"\n",
"def shift(l):\n",
" counter = 0\n",
" for i in range(24):\n",
" if l[i] == 0:\n",
" counter+=1\n",
" else:\n",
" break \n",
" return np.roll(l, 0-counter)\n",
"\n",
"def lifetime(l):\n",
" counter = 0\n",
" for i in reversed(range(24)):\n",
" if l[i] == 0:\n",
" counter+=1\n",
" else:\n",
" break\n",
" return 24-counter"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 10
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"fig = plt.figure(figsize=(10, 6))\n",
"ax = fig.add_subplot(111, xlabel=u'users\\' lifetime', \n",
" ylabel=u'number of user',\n",
" title=u'User\\' Lifetime Statistics')\n",
"\n",
"stat = np.zeros(24)\n",
"user_still_alive = 0\n",
"for uid in result.keys():\n",
" if result[uid][-1] == 0:\n",
" stat[lifetime(shift(result[uid]))] += 1\n",
" else:\n",
" user_still_alive += 1\n",
"\n",
"anno = []\n",
"for s in stat:\n",
" anno.append(int(s))\n",
"\n",
"ppl.bar(ax, np.arange(24), stat, annotate=anno)\n",
"fig.savefig('users_lifetime_statistics.png')\n",
"\n",
"average_lifetime = 0\n",
"for i in range(24):\n",
" average_lifetime += i*stat[i]\n",
" \n",
"print u'total = ' + str(len(result)) + u' people'\n",
"print u'average lifetime = ' + str(average_lifetime / sum(stat)) + u' months'\n",
"print u'user still alive = ' + str(user_still_alive) + u' people (' + str(float(user_still_alive)/len(result)*100) + u'%)' "
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"total = 136307 people\n",
"average lifetime = 1.24840011232 months\n",
"user still alive = 985 people (0.7226334671%)\n"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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evXvJycnBz88Pb29v3NzcyM7OxjAMVq1axcCBA81lTtVKTU2lf//+TeqziIiI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\niIgNKeSJiIiI2NB/Ad5nFaL1qgykAAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x118a0f990>"
]
}
],
"prompt_number": 12
},
{
"cell_type": "raw",
"metadata": {},
"source": [
"\u5f9e\u8a3b\u518a\u5230\u73fe\u5728\u66fe\u4f7f\u7528\u904e\u300c\u6536\u85cf\u529f\u80fd\u300d\u7684\u7e3d\u4eba\u6578\u70ba136307\u4eba\u3002\n",
"\u7576\u4f7f\u7528\u8005\u8d85\u904e\u4e00\u500b\u6708\u6c92\u6709\u4f7f\u7528\u6b64\u529f\u80fd\uff0c\u5247\u8996\u8a72\u4f7f\u7528\u8005\u4e0d\u518d\u4f7f\u7528\u3002\n",
"\u81f3\u4eca\u4ecd\u5728\u4f7f\u7528\u6b64\u529f\u80fd\u7684\u4eba\u6578\u70ba985\u4eba\uff0c\u4f54\u6240\u6709\u66fe\u4f7f\u7528\u4eba\u6578\u76840.72%\u3002\n",
"\u5f9e2011.08\u81f32013.08\u517124\u500b\u6708\uff0c\u7d71\u8a08\u767c\u73fe\u5927\u90e8\u5206\u7684\u4f7f\u7528\u8005\u4f7f\u7528\u4e00\u500b\u6708\u5f8c\u5373\u505c\u6b62\u4f7f\u7528\u6b64\u529f\u80fd\u3002\n",
"\u5e73\u5747\u4f7f\u7528\u9031\u671f\u70ba1.44\u500b\u6708\u3002"
]
},
{
"cell_type": "heading",
"level": 3,
"metadata": {},
"source": [
"\u4e0d\u540c\u5e74\u7d00\u3001\u6027\u5225\u4f7f\u7528\u8005\u751f\u547d\u9031\u671f\u8207\u8ffd\u96a8\u8005\u6578\u95dc\u4fc2\u5716"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"from numpy import arange,array,ones,linalg\n",
"import matplotlib.pyplot as mpl_plt\n",
"import brewer2mpl\n",
"\n",
"set2 = brewer2mpl.get_map('Set2', 'qualitative', 8).mpl_colors\n",
"size = 24"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 13
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"fig = plt.figure(figsize=(15, 6))\n",
"ax = fig.add_subplot(111, xlabel=u'users\\' lifetime', \n",
" ylabel=u'frequency of being followed',\n",
" title=u'Different-aged Users\\' Lifetime & Frequency of Being Followed')\n",
"\n",
"reg_x = []\n",
"reg_y = []\n",
"for i in range(8):\n",
" lx = []\n",
" ly = []\n",
" for uid in ages_category[i]:\n",
" if uid in result:\n",
" x_val = lifetime(shift(result[uid]))\n",
" y_val = sum(result[uid])\n",
" lx.append(x_val)\n",
" reg_x.append(x_val)\n",
" ly.append(y_val)\n",
" reg_y.append(y_val)\n",
" color = set2[i]\n",
" ax.scatter(np.asarray(lx), np.asarray(ly), label=str(i)+\"1-\"+str(i+1)+\"0\", color=color, alpha=0.5)\n",
"\n",
"x = np.asarray(reg_x)\n",
"y = np.asarray(reg_y)\n",
"A = array([ x, np.ones(len(x))])\n",
"w = linalg.lstsq(A.T,y)[0]\n",
"\n",
"true_intercept = w[1]\n",
"true_slope = w[0]\n",
"\n",
"x = np.linspace(0, 23, size)\n",
"regression_line = true_slope * x + true_intercept\n",
"\n",
"operand = u'' if w[1] < 0 else u'+'\n",
"\n",
"ax.plot(regression_line, label=\"y=\" + \"{0:.2f}\".format(w[0]) + \"x\" + operand + \"{0:.2f}\".format(w[1]) , linewidth=4., color=set2[0])\n",
"ax.legend(loc=2)\n",
"\n",
"fig.savefig('x_lifetime_y_followCount.png')"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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gNDSU+fPnlzneKVOm0LdvX4YMGUJiYiKdO3cuspwxptgewL/+9a+MGzeOoKAg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\nocA20G7ugpP2NBgKFZALTkIciIJ7Cu+55x4efPBBrrnmGiC35POee+7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3ddPb78/SbTH8\n9fan+dOKrfzhzc2sfK+V7EeWVgsxWGSmUAgfmWUhrIowTmcSlAaliEzzb/mVUgYTy85iwOnA0w5R\nqwrTGDmzB129aaxUD7qtHZTCKKmlpz9NTWXEl/ESySyv/3U7zs5eaeUlIWZMqR0xS72UYaAap0Pj\n9CEZz1Q240pOHpKxdMZFex6OlSWrEgTsGFbCyhdP8IOXyDKwohkvkcUaFSNyTI1vTZ9VwKJjTAnV\nO1IozyMVC5CUYhAHrSTYQHd6M6ZRitYaV2eIB+p8G6+rN00wmOsfq5QCpelLZCiJjZw9yyOZl3ZI\nrm7DG8hgloUIH12Nsv3pB5x1XJa/24plGQRsk+7eNKvXtTN98sjc1iCKR5JCIXyklCIyow6nYwCd\ncbEqIhgRf6/mK2UQs0fO3qmPKnG66WjfjhW0QWuctm3ExpXhV8nFpg07MBTETQNtKLr6UnR2J6mu\n8CcJFYNHBUy6ApvYFl7FrhRwrD6JEmOCL+Npx6P7d2txupIowyC9tQcvmSU+259qrqXxAOF4kGR3\nGksbDKA4auzIqsyZ7U6Sfr8DXI/AxCoCVf61aqkJTyHl9OTbB42Jz6Ys6F8l3tJ4kJb2AYJBE601\n2oNYeORcwBvJtNYMvLkNL+tiBEyc9gEG0i6xE/3p45dM5aommzsvZgWDJr19MqssBp8khUL4TBkK\nu0au4A+Gsc42esKaTic3+1IfSlCTbQX8+TB20lmqNvdiZlwUYEZtskf6U4jlozztoDB93yuptSbb\n2o/TnsCI2QTHlvk2szXUPOXQNm4dgbYISoM2NC3j3qVez/bl79XZkSDb1o92XFAapU1STR2+JYWG\nq5nUl6XPMnAtGO1qSvscqPRluCGX7U3R++JavLSLQpPa0E3pWUdh+7QqQCnFuJKT8svt/f7dO2pc\nOQOJLL0DabSGCWPLKB1BlY1HMp128VIORjj3FVqFLLyelG+rEAK2iYZ8OxjX9QjY8vVdDD75XyWE\nGDaMcJSpke24gRgKjZnqRYX8KQQBUJ906Uo6eCETrSHWk6YE/74sOl6aNd0vksh2oDAYX3IalWF/\nZrYA0hu7SK/tRAVMdIvGaU8QPbF+RBTucXQaI2QRGB/L7eU1FBmvH42HYvCXeXkplz6zje1HrAbl\nYWcijNkyY9DH2cXtSUPWo3TnrLXWmszWkdPcPf1OG14iixHOrazQaYfEW9sp/Vv/fh/A/2RwF8s0\nOOGYWhzHQxkKa4RcjCmmbGcCtzeFGQtiVUV8+7dUZq6xa75np869v/j10RAKWkwcV87aTbk9rpZp\ncOzkkVNAThw6JCkUwmdaa7r70jiOR0ksQDAgv3YHbfxUNm7sYOsOA5RiQkWIhjr/viSWoKAqTO9A\nFtNUVFZGCGT9mync0PMqfakOtBtCKVjfs5SYXZ2viDjYMhu7URE71x7CzjUM9wayuebFw5xtRLCN\nMK7OYJlBMm6SiFWFofzZ96MjLtvHv42ZCaAwyJopth/5LvWc5st4exSs0nu5bRjzsi7ZlIO7c5mc\nGTAx006RoxpcSilsn/ahHW5S63eQXtuZ+x3wNIGxZb711lO2SeioKlJrOnKNdhREptX6ekFh7OgS\naisjZLIe4ZAlFxGEL+TbqRA+0lqzumkz2R1rMXBZb5Qz+dhplMZDhU8We2jpcdkQm0wkngEU7xEg\nNuBQXuLPW5ldGSE2kKVkVCi37yeRxSzx79+uK9FKa7uLcvrQCgKxNMmyHt+Swj35m1S4XoaNfX+i\nP9NGxKpgfOmp2D61pDCUyeSKL/JB91LSbh8xu5ojy/7Gl7EAsuEMRjyA0R/IfSm1orgV/iUxZmmI\nbEWazdk/4JgZytJjGT/Zv9c31BJhG4devIb23P/K9gpSYZkdEXvSWpNevwMVtfOJWWZLD6EJFb4V\nfwmOL8OqiuClspiRgO+1AgCCAYvg8L9eJw5hkhQK4aPunn68HavxHMh6ELZa2LDG4PgTZhY7tGGp\nfUeCYMhGmbm9N3bGoaMrSblPiVrwqEq8VJZsRwIFhKfUYJb4t++nu90k3NuL5QXQaBJOisyoIPiU\nhwaOKCf9fgc6YILjYZaHP+yp6YO13S8xkG0nYMbozWzn/R3/yzGVX/HtCnvQjDOl8jxfnvvjQqES\nzNoQA4F2XDLYRpSq2sm+jeeQYlPDG5A0sdwo3aEttNnv0YB/7y2JZJa1m7twHM2Y0TFqKvwr/JJI\ndpKevIaskWs5Y1d0YmbLGY2/y0dHKq012eY+ss29qJBFaGIVRnCEfAXUgFa4XSl0MosKWhhhO7e8\n08dhzVhgRKyqEGKXEfKOIMShKTXQQyaZxsyY2BqSJti0FzusYSsStunsSeaXzrgeREL+vY0pQxE5\nbnRuzwj+7zeq3TiJzrJOsoEEGk319kmYY4LgU0/r0PhyzGgAp2MAIxIgMKbUt9foaYf+TBtWIkA2\nPYAZMEnFesl6CQKmf8kFgOdp39uImEYQbZv0R3rwtIFlZhgX8m9mK5HtwCNLKJ7bQ2jpEJ2pdTTE\n/UkKUxmHN5dtItLSiel6vLM1Dice4VtimI1uJptIseuKSIYMdmQjMNuX8Ua6zKYeUu+3o8IWui+N\nsyNJ/ORxvveA1J4G5e97pzIUOuPgtA+gAwo1kMEsDcEQ9LcUYiSRpFAIP3mKiNtHOtqJqyCUDeKl\nxxU7qmHriIZSdvQk6U9kAagoDTG62v/KrkNVfCJuBWh3bRzXQWkL0wkR8XnviF0dxa72NykDUJi4\n3Sm8njTKNHF6PdxUFrPav5nJ3v40q95vJ+u4hIM2x0+uIezTRYREdgfd7SmiO8aD8nCUyRbWcGTp\n53wZz1SB3H6mnTwc35biAnS0dFPWtBXlarQyqO1uY0vIpGbO0b6MF6q1yWy28LK5V2lYFoEa2X93\nsDKbu/PLK5Vp4A1kcXtTWD611/HSDomVzXj9WTANwseNwq7w5/+n9jTZUIoNk/5CRg9gGyHGpU4G\nx4OAJIZC7C9JCoXwkXYc+sNthHUQNOhAhlSmw98xtcbtToGrMUuDvu2pKAbLNDjx2NEMJLMoBdGw\nPSIqZe7SU/8e2e5uSEXReHSNWoWO+Tcz4rge76ztoKc/TcA2mTqxmmjYpyRNQ23r0TSXvoVGgwWj\nOo9BOSb4sALL8zRvN62lIfg7AqF+Ek4Fbzedzezj/Vl+mOhzMHpSGGYMlIXtuqRbBqDRl+GI2jVU\nBI+gK70BDRjK4qjSs/wZDGDLdjIZg+yuixTapGRTO+BPUlhaeTSJ3vWY6dzXFM92KKs+1pexDgs7\nC7Dstp7Sx/fOxKoW3GSubYP2NImVzZScNt6fzyMFH8RfpSfUjGc4GNrEsf9ANdMGfywhRjBJCoXw\nkR1K0Wc4pLJBTAUZxyQcH/BtPO1pBpZvw+1KAbkG3rHZDfmy7iOBYSji0ZG5j6PZ2oEdiqLcFAqL\ngbDFjnQ3kWiFL+OtXtvBjt4UoYBJxnFZtrqFk2fU+1bZrjw7jkh/NQO6l7CKEU77N0OZTmdosBcT\n8FxI20TtdhTP4HnX+7KUNJCJEkrUkCppR2GgTZeK9uMGfZxdlFJMKDuD/mwrrk4Tsar8XYarNaCx\nA30oXP7/9u48yq6yzv/9+9nDGevUmBoyJwQSwhBAgoKItAGUFuEHSmz7XqXB241DI83QTbfC7/7S\nTq3da7G8C68LbZVeDqtRRBku8BOZRYQkGAgJYUjIUJWq1Dyc+ey9n+f+cSqVSlIJidRDJanvay1W\n1dmcc75Pqnadsz/nmSqVDBh7oaI+OZ/SvA/S1bcGbQxtjWfSlF5ird6xLr64iW2bnmLYb8ePEsxt\nPBu33t6iWTpfwYlVA6ByFEYbdDHEtRAKNSFDdR3oUoAT+UQEDGc6CZ0SLsfOe58QtkkoFMKidGMT\n8e0Obj4EpYh5IXWNx1mrF/TliQaLOKOhSVciSq/3kTp9prWa77ZgsEBxyyA4ivTiGdYn+htjCEKN\n827sJabjjNS9Xq2LQUVpXOxd6A9lq4EQqr2wpTCkWAqthG7lKEoNMbZ2rKOYGiBRqmN+41nUxez0\nZMfcAqniEOnKAI6fJ8rX4qaLOEqDhX0KMw1JWoeW0W2epxIfIZ2dS1vC/p56mVib1Rpj5rTROvAw\nqXQ7BgVBip2pT1krp7Wht12RKFUAQ29O0XaSwT2Gtt14N/UkNjG0sB2vlCRyI7alV1NnFuIpO8FQ\nxT1MEKE8Z8+c7ISlUSsGTAw8LwkhOK5P6JaqIxKEEIdMQqEQFsXLGWaWTmVX3UaUhphKM2vodGv1\nTDkiiDS9XVkirWmqTZB5F/b2ercWYqkMFGj/3WYKkQZjyGwdZO7FJ+Ba6jkMI83qV19jsLIFZXxO\naDmdE+bZuwivTSkKIwGu0dVOGCdJTdre8F/PdYi0wXWqGzBrA75vJ/gaY1ir/kg0dxPKBGQdjz7K\ntITz8bzJ/zeq0KfOex03PYgxDl5NJ16xDa3BsfEj9RUj89eic1n8SoxK7Q4qLTMBe71bYaTp2JWl\nVAlpa0pTb3G7lOamQfrm9lPO1uMYQ5jRLJy9GXiPlXq7undQX/kZTiyJwSET/YKOjiTz59sZrnqs\n6y+9SSLRCInq63QpHKYQ9FMbn22lXuq0NvJrd6KLAaBIntKKY2mPXkd5NCQWMFxqh7jBGKiPz8N3\n7c2xFeJYJKFQCIt0OaS5spgZ/glEKsTXCVTRXnAK0j7bdg5ToTqyqzBYZGZbDbaWYjHGYLa+Ats3\ngjGY2SegFi+3Fg671u9iuDyCn+rAaJfB7BwSb/TSdoadC5tX3nqd7vABMCVQsKFvC431V9FUm7FS\nLzXcybyhRrzYCEbHKDqKqNALcTurWJ56QjMvbuqmEmmMUpwwr56EpQu3UIcU/XXEvR17n5PaAAAg\nAElEQVQkTZmSilGI8hTDAhlv8n+eujCM41V/bzgahcL1c9V5VRZCYX6kh5FomJhfgxeDkvbZObKR\nRVw0+cWASGue3biWIfMCKM0bg028d/7HaGuqt1Iv7mSpbdJ0p7owxpCJ1ZNJjFipBWAKL4Hjonfv\nx6JSOKW12JrDeKxzjE/YvZNEMIAmjq6vw2myN7TSTcfInLcAUw5Rvmt1lVOlFCc2XsKbg48SmQBH\nuSyqW4GrZOioEIdDQqEQFrk11f3mKCo846N1SGyupf0FgK19ebbUxplXjHCMoa/Go7Mvx1xL9Uxf\nBx2vPc1byT5wDHO39LEwXYeas9hKvaFsH22z78fxK9V9qcop+kc+TRt2QmHHyFOYqJ3dlzOR6qNr\n8A2aas+0Ui8zFJFpWo+Li8GQD5L4/QYarJQjnfJpyMTpGyqQiLk0N9hZiRDAUdDgvs58PYxBoYyh\n08nhOoGdemkoO4ZSlAHjg6qQdDW21l0qliNqI5ea6tQ7jFIMVCI7xYDe4X76g/+Na/rAiYhMmpd2\nxrm4aaWVegUnTSHqIpNoqC5QEvXSr12arVSDmnQNw1kNqjoKweiQTNr+KrnHqlnddeSdn6KTARjI\nDC8i2VqLrSl3JtQUX+0hHCjixF2Sy9qsjegAqI/P5/Tm/5NylCXmpom59lelFuJYI2v1CmGRSng4\nCZ/Km/2U3ugj2JXFn22nlwlAG4P2hxhqe57BWc9STrej0dbqdb+1jpcbNzGS7GUk0cfGxk3s2PKi\ntXqxtg24OsLLpvBySVw3h9+41Vo9KttoUsOcFN/Gklg7KSdLfmCHtXJzYzncSoaK8Ql1nJaKRyxh\nb/jvhjd76CqsJcg8QdZ9jhc2biOM7JwvkQ6Za7KUcCnjUsJlpikQBHYWXgq9WoZMG0F5KUH5eILy\nifTRglG25jAmqQkT5GND5OMDlLwsTWV7+xRm89vR3lsE/hChmyP0dlGprLNXT2v6/FNQhDhUKPnH\n0aNqrdWrazmbtJ/A79+F37+LFIqGtg9Zq3es0/ohDBkcPQPHNON73QTZN63VK27YRdibR/kOuhKR\nX92BCe29F0UmYGfuRbaOPE1Hbg2hLlurJSafMQZdDIhylerelmJKSE+hEBaFfQVKm/spx1y0McQD\nTf65dur/0k5P2qwGza70s7gVD2UcnMSLtNbXAidaqbdl6A2ihhAcXZ3SHyneqrzBAivVoEHliSLF\n7r4lTysaPHuruc4Miyys3wwYlIIGPcCAvRFz+LMbiXXl0CaLq128RC1ek71PvDuLzxElduCYNMbt\nZcQ8Tr44m7qaye8xNIHBDRI4boSC6jYKWqELDjbW0imUy+zKn0aj143rRIQ6Rl/+dFqjCN+z8NZX\nLhE4EUQxUAZtHLRj78I0ynVjVIgbxUCBISJyeq3VS3j15L0mdKK6x0YlytHo2+onhKHuiJ2vvA+a\n/wAqxLx2FtQamhdaK3lMC7wRfJ0Ytw1FkbI7jK1ZqOFgCTW6J6jyHHQhQBcD3EzcSr3NQ78jW+7C\nJcVgtI1iOMhJjVccU1sWHauMMRQ39hB0ZQFwUj7ps+aMrV4r3j0SCoWwqDJQIJerUBxdBS1vDHXd\nWezM+oH+9tfxiPBN9Y3XKyfJD20APmilXhSFmHiWZkooDH2xJHqkYqUWQKVjJvH6DYSq+omzijzC\nnfXWphnNz2zBAFo5gCJJQHNmm51iwFBmDvniGipBEscpUU45zPSbbUyBA0D7nTi6ZvQ6MYFWWbTK\nAZMfCr1YnFj7GSTmrgY3xEQuateppI9vmvRaAE7kUw5T7NCzUMbFqAhf12DrEjFrKlS8EngVImOI\n4TGoBy1Vg3iQxIt8tBPB6PZz8Yq9DxBqY7Oo907kje6X0Bpa6lqY22xvD83uN7bQ0/g8XhAHkyBs\nehHnjXqaF55nreaxrFJ7IsnhdYQ6iUOESSTwau0lbOU6FAoBpUqE7yrSjrK2Z642EQP5nfQPgDZZ\nlFI0NvQR1hfxXXtD4sXkCPsLBDuzODXVscymFFF6o4/UKa1T3LLpR0KhEBb1ByFhEJHQ1Ys2o6Cn\nFFiaAQeVgQBHG1wDYAidCHL2RolnTIo2r3d0Bhw0k2UgOtlavZGolpyuoSnZjcZhZ66ZJp3B1oYb\nKlYEHJRRGKofsht/wFI1eHEgR8LMoDHWQ2BitBdmc05xkJaMnSHHTbUpcm9l8QKDdhTJWS6puJ2+\nAweFcpuJa3BUBMalYJrxXDtvQ348SZibRY3fjXYC3DDFsJ6F69q5MFVJh+3JHcwsN+LjM6hG6E3b\nm1PYVL+U1NZGyvECjH7oNGvA3mbdpXLE869sRdW9jlGGgR052twsC2bb6fkplDeAUZTcABT4oUve\nvAocI6HQhDDyEJRfB1zIfASSp1gr19p2LTvUd0kFHVRUHK/uUlKxWdbqDc1MM/xCBw4Kg2Fwbi0n\nxe1tSdE7WECpJJ7joI2hdzAPM6Wn6WigC+Hek9liDjpn78NlcWASCoWwqLtQJq0NbiKHdkOcUg1d\nIZxhqV6y1EwizGAy3bgYoqCGui57+yLWZQr4pRQl12AUxAOX5lTOWr1caw+D5Ri9uhFQuA7Uzsha\nq9frzmWmea26LxuGAEVQY+/Cu1DuoFTxyUbzMRjCeC+5QpYWS9NQZ20/jo2JByimSyjjMnfne/AX\n2flk3aAxzc+SKzeO9txp3BlrCHSeOJO/+JLRimTfLNy4IuYHhJU4qbAVY8aNoJtEKjTEygl6vAEw\nCqUgWbQ3vNIreyx+eQXtx79I6Jdp6JlHa87eypxr3lyDqn8edBJlHNx0O89tu5sFs6+zUs/4msHM\nNqJEETA4lQSpAXtzNLXWFP/USfG1PlCQes8sUktbrNUj93ui/AbKpRSOMsT0b3C8ZvDt9I4k/QYW\nzbqFYjiI58RJepZWrxr11lAJf0kTXqDRnkNeGxaUQtLJyV/ZxhhFrLyMSvIlIgMoQ6x8EpG2t3W9\nLoUUN3SjCxXc2gTJk1us9YQeKbQxGGOIjCYyBj3uq57w+J7vo3H32fd4aCoUVB+VikIrA5HGrU3h\ntGf3fn5Gv+pxdTF730drIiZq2+7ae26Pv8/Xz7oMV8kyKxIKhbBopH0Ib/463LnPEfMqDGdnMXPj\nx6zVc6MSi6MCnteNURoqTfQae5O2k6YVHcbwtAIDjoFYaG/Ix0i5h3JmsDqkDKjU9tM/0mWt3kDq\nNEojfTSqETSKHe5Mjs/Y25C8ZjhGPhERKgPK4JU94kVr5egbfJ1UPAOjC4bkdDeVgSyJtsm/YAzC\nMoaA0I/QboCKPBxjKBSGiacmPxS6OsIZCfAq1SDhKYjiFWvDR/2sTyrXQMb3cR1DKdBERXuLSgVd\nOUZm7CT0AozSZOt7mdE/bK3ecPAmRmmUlwUMJowTxdut1euOZQmTubHVR6NEkd5Ev7V6xVd7yD2/\nA/QwoMg+WcJJ+yTm2QlPlZFNDG2uQFTtEfEzBeoyO3EshUJjDD251+gbfJVYLMPClvOJu/bOTwMY\nzyHcHZRK4dh+tpPNcRRp5wTi5RngZlG6Bkw9MQv7nwLoSDOypoMoDDG+Q9SfZWRdieTpbROEn91h\nae8wovcJSvsGGD36mPHhKgwjojBCu9XwpM1EAWzP7YkC2MRtm6hN+4cog8UFYMYPOHCBkdH/3iXa\nGFyZfiqhUAib/KCTlpN/Q9LPo4G6mk46jQYutlLPie0k3bwOLzkIyhAl+qktNgMfsVLPrSwmytxD\nMp5FYQiDNGqXnUV0ALwsODUKnNE5hdpB99nZ0gAgVozzWtACXjW0OKU0SyyOakllGzFljfEqoF1c\n4+IU7O21VfD6MAoq8Txu6INW5HP9JCzsgaFMjD5i1MUGwfgot8xgmKY2tDMPrlQoka5AGYPjBZjQ\nJ1XWhFGE70z+W5/WPm1RI8W6XYQqIhmLEx+w19OUdwZoX/gSpWS1p1xpFyfymGfpb7023chwUABd\n3VZAxbO4pUYrtQAqyXZAoUz103uDIUjZ+wCosG4HyVmP4qb7AAiH55BfV2MtFPZvdXC8AcrpALSL\nU3YY7HJoOt5KOTq6V7P1zcfxyymyqp3hXds487S/w3Pe2fBffYAwUz/DY1vnML7vEEQRyaRPf5ij\nL7t/mBkfmg4elg4cWMrpgO6BAqGOQBWpr82y5Y2Ocb1M1V6kvUIUo2FJjwtP43qZxo6zf9ACqlfQ\nBogBZeCFd/hLElMmMhrf2uz9o4eEQiEsSja/QNrPUR5dBt8oTdPMl63Vi3s78OvawY0wgBfPUtO8\n3lq9XfoZauNF3NHVR0O/RHfyOWZyiZV6dfl69EgjpZphlFHUZJuoy9tbXGN7Vy8NDcPMIUdgHN5y\nNR1bO2lrfI+Veo29p1JpfYqyX0Y5Lk07T8ZdaGchFoBSIkcxNYSjPcrxPI52iPJ2QrbyYVtpFrWp\nPLVOmbyJMTwymwUZOx/PqjCgkupj/txnwA3RYZwdHR+qbl5vQdYdolzfR+CWUQoqToSetc1KLYAu\nv51CarA61xUFbkjvTHtbDDQkWmkv1OC5BQB06FPjz7NWL0mSAowLhRFxa2tlghv7E7GWjTh+dcVY\nN9VH2L0IOLR5fsYYNOYAw9v2GfaG5tXcbBJN63ENaCdixKkjlTXMGNi519C2fXt7Dnx8/56g8ffp\n6XmdKGrDeNX50eFIxDN/+h1OLHGAoYB7At5Ew+12f33bv6bdC/BmAXtvffuzt8aTOAaNBf1pTkKh\nEDb53Sgi6glxMJRxyDn2xih4ahvGDYh0PdooPDeLk9llrZ6p20TZ0eTU6GqnrsZtfN1avfRwC5WT\nHmJefBCDQ2+shdS2FdbqtcS3sczvwKjqQkGzdZYNXdut1av4A8yuf51MfAitXXbVJ4h59s4XJ3QI\n4kW00igUyWw9xYKlLT60oVzfRa+ToJdE9Qda34Pr2JnHEatNMXfe06jIhyiO4wTMmfM0fvyjVuoV\ngw60XwanOr8WbYjiQ1ZqAZTdPFoFZFSIhyaHT8XGVhujRvorzOyZiaddjKMh9Bh0Izht//tONHTt\n7cLMvj1Fld4TiZq7qXFLaKMY0imyvafwh11bDjmwHMqQvN3HKzNBq3MII4U2DjiKqKWAWfv/TRi8\nNJpIj799mBeVaaD0gb2P5TbBxk1/9u/o4OLs1xFSHKn+J8QhcpTCVc7o193f77ntKAcXhetUjznK\nqR5n9D6Os9f9HKXQGvoHi/iui4MiigxNtUnqahLjaox7rr3aMPHX3d+7+7Rtz/Hxz+eQsLTg2dFG\nfgpCWDSiIzLosXlMrtEUjb0VCfPxHmKlU9FRZjTIhDjxV0laqldEk9wnswSOvX9f4YQnacPD5E8F\nYI7XTm/bC4CdYHhCahs4Gn/0gs9xItoSW63UAkjN+w3NtVvRTvWcWTDvaXp2nk/9fDv/vlIqh9IO\nyjWgFWG8RDRkZ2+9cqUIboivIuJEVHCpuNDZu4PF806d9HrF7h48v0DUuh3HLxGV0/gD8wnKZfz4\n5K+YqYvdFL1hZkUJHGOo4PBGvGu0d+gQel9GQ8Z+oWai4xi2BD6oFopKo3GIjENPpY5H2jdW76PH\nLcxwSHOIDhSiql/zA3mC1FxCN6ouvKRdnCDBM3/81X7zmiblM/cUkD9v/2NvWhqjp2pB1+5zDAlN\nYkLKjK6obMBFgVLEY/6kBpXd91Eaop1ZjBuC0sTCGLFEgsSc+v0es3do2j9E7T7257RNoazt+9g/\nVOS1rQNobZjdUsPCOXWyx+QUkFAohEWz66sBohLWo8MUntdDgxtaqzfkeSQrTfSXmzDGpTbWj6vm\nW1jbsSpXnEFDfQcxNRoEDfSW7Q13TKaHccJZ+E51CFsQzSeRttcT6nslfBMRmSSKiJiqoGL2Ngiv\nb3yLiqurPU1APFagYtZjK/RGXkAQK1WvcIyqfq3YGT46ODRChoCFZgRtXDSK7bqWnV1dNLUcd5DF\nEN5ukYSJF3AY7O7Gr4+hOA4dOETKoVKXxLz1Eq7vvG3v0du1Y9/eo0oAWi3HGAeNg0Zhig4P/eFu\nKz9PAIIP7Hdo0zZLY/TiAAnQ4475BkJZOn662zdIVHuGFCbQ1ZUklUs8FcdzxweTPYFl31CzX8/Q\nuJ6nsVqMuw9Q2TyIqmhMJcL3XLy4T3pJC17MnSBoHTiA7RumJgpRUTnkrd+soXner4kluikW5jOw\n83KWfGq5tSDTnvkjO7qegwjcWIyTFq2kNt1mpdZuuhJBqFEJx3pAa6pPcu4ZtjbrEodKQqEQFqXd\nEXYNfJTB0kIi45D2CsxsvN/aH15tPEfH0Fk4ToCDZldhPq3K3kXbUCKLMilOpxcHwwYzg2Gby2W6\nPkmnAKOb17umzJBvbxnprInhFk7EmCQYhY51MWjeWWjaPfdo9yIG4+ceDZgERieITDVUuEbRrguk\ns3179xaxT2/O2DLchzdc700zj7A0C4PCGAe0y9ZUL7Wbfn/QHqZDXep7fO1q79EnJ/iJ9HH3mvvf\n0c/0gKJzJii3xU4tAGNnzz5xdHB4u16ZPQEkX+gh4Y7gqxAHTWB8HDWbhsyMiYfkTTiM7kAhZ//H\ntHd+C1+FoMBFEyegUjybxSd+8pB6ivatM9aLdYDeo9d+t5acupt0YoBylES3X8hpl/0PXG/yX6+N\nMXT/fh0jqSdw69rRuZnU9K6g9fwFOBZWIFUGFiz+Pkr1o8MEdel1ZBYNg1mOjeWNy1GWXWwgM2cO\nUJ1fu63wFMvSn5r8YqNKbw1Q3jIASuHEPdLvnY0Tl8hwrJPfsBAWpcvzeS17CoUoDsbgqFpCczlL\nLNWLGYXGwTUuBg9PGQqhrcGjkMl08UF6iILqfmxnu/38IaHf5lFVxlSXuJ5ofs+BwkyX65APZhFp\nHw0YFdLt90J/xyGvUnewBRz2DT/DI/8Dz3gYQKMIy6eQNRF/ePl3h9R7NFGbDj647pqJD7/06GH9\nXg7dPNi349oPoM/eVgNiepgoSBwosEzUUzSUXUeDU0Th4QCuKjJiPNoaL3rnQ/LGep72tGn1K/8v\nQX0vDZQwSjNCnLrORZz7gb/f8xzOaF32GarnVI8dTm/KxrWXc1zNdtzRLTdKxmXrwP/FaaestPL7\nqOt7C+UGJIiIUGgD6PNYXG9nC4zA+TmzGjZh3ABlXPL+EP3ty2lZOHfSaxltGJ75c1LN63Aw6OZX\nGKnfSmPpVOI1Ft7/VDeuO4CJanBdULoGJ7YdRUB1KdLJFeoSqD3nl8Ij0PY+fI1yZcqbB1ApD6UU\nuhJR3NBD+sxZ1mqKI4OEQiEs6s8vYyhIoHEBBUbTXZqxXyg0+yxicLD5PQdbwKFfN9GhawlNHKMM\nioi0HqK3a/Oe599nNby9NoUdf3zfTWEn6Ckq5/6CF8MGIqohTaMxTp4n1z74Nos/VJ/v8J07wbHj\n4NVn/oznOhQzJzzaPWJvCKk4tuw99G3cggujIWPPggv79gxNMCRv3NeR/idpjGVx0ThK447+Bcaa\nrj60IXn7hKmD9wg5PLXxf3KqaSBufBSgVMBbfh/nLfvOfs/vTMJQs42v/BstwXEo44EBrTQj8dc5\nfvH/fMfPPZHNNdtZGmsnpkIwigIe29JxZqXtDL6fk24npvZ8QJRWETHnKeCLVupVIpcT3AF2/2oK\nuAxW7O0p29S0kZSZgQkzoAJima30d26yEgorlRI1zWtJ+MXRUfAKr2kjhWIf8ZrJr0cYw3iGoj+I\nJsLFJWniGO1iY//zhFuHq3wiHeA6PuUoR33Mwr9rlC6GlMshvcNFjDGkEj5NsonftHDUhcJnnnmG\nb37zm2itufLKK7n22munukniKLNhoJPeUvaweqjebp7RgVbQy5sFhDVlRvd2H+1xMvz6uXv2ClqT\ntynsX1BdtX1898/xsHn1JD3/vubsf0gnoJi1VE8crZQxKMCBsa8OBm0CapKNEwaWd7JYw672+/HM\nHDylcTA4AEZRKaRZfPpZh9RbdTghavOfrqIh/ODobEJGPwaKmP2Bm6z8PDdv+CeO8/KMz1/agLvw\nO1bqneKN0FZpRakSSimMcTlNJ6jx7QyZdXUDnnFwVBEURNrHCyf+kGYyzPb6aVF5YmhQUDYuQ7F+\na/USKhrdTqRKAam4vXpN/ghKgUf1/SaGw2D2eeAKK/VSZgZa16JUgDEObnkxYfAm8OFJr2V0haRf\nJFAKqC4VnXDL5Es9NGChZzI1gy4Tp8Hrry4yg2F7+SSOtzBUFcB1YixtvIwtQ08Q6CIN8fksqP2g\nlVoAge/QO1REJVwc16GYLdFbE7O2NoE4chxVoTCKIr72ta9x11130draypVXXskFF1zAokWLprpp\n4ijy+12beam/490p5rowQeALInsbrosj34F6ZVTQR7XfSONicDHgFIinlu7dyzTBst5jYcbZd3jb\ngUNOYfv/xiXCUdWApoxHxdvMrOP++QDB7NB6sSYaLvjrn36LeTNb8N09c1yDKMZw/Dkueu+PJv1n\n/ELf/8LLzcAxgHIxRCgi3twY8qGPTv4A7lmewUS7e7+rF4pWJhiNiibokrC501aD2v1BU/XfZEx1\nnRlbfKMwxoz9CJUyVreWbnFyxImIcKoBTYU0+fa2FCniUsOeYBgZKFXsXXbXqup7TmX03xdD4ybt\nLdKldQZHVTAoHGWq0xq8ASu1Ih1QwiNOiIbR7Z88cP6c0Shvr1Tu52XdQmsuRdopMKJr6fdTLIhC\nPEtbGyS9Bk6Z8Qkrz72vgoGeVjDBi0RukUR8IWQaOf5dqS6m0lEVCtevX8+8efOYMzrZ9pJLLuHx\nxx+XUCgOi2tjfIf4syjUXsFh4qWy9xzXhe0oEx/rZXIwOM4Iqfr3HHwO0djzHV6Yyb15D5jEnlq4\nOLE3aV5y2wHa+s6W9R568W9R6LHen0gn2elt55TTb7Dy8+/v/E/CKIOjIrRxUA5sC3dwZvPkb0o+\n21mEUsNorXAcg9YAisJ2Oxug9287kZNnDdNdbANlcPCZmWynPGuCjfUmwVBYoI6I8UFQqZKVWgDd\nUYpFbpbdr2YGKOBQe7AHvQN5lSXt5tE6jjHgOCEmZi9UOF4fJppBaKpR0Bgf17VXb0/gNKOjOhSu\nsRdDtw4ez4kNb+KMLppVwaO08y+s1Qtx8IlQu0M9oIJGe/WUxjUuSmm0AWMclH+ylVqxRIZ2naHN\nyVVHH6Do0ykW1dpZnVNXDDpUdOsZOFqhMZiggtFm/70gj0ZOwM6ap3EcjTIekXqZRuMD86e6ZcKy\noyoUdnd3M3PmnuEjra2trF+/fgpbJI5G7iTMd7Fhvx6ZA/YK7XOcPY8pZv+ACeZjjIsy4ClDbeIt\nko0fOWgvzvjlwQ9nP6OBV/8fXDOHat+UGZ3ftIu2M255mwUf/ry5R9s2nkcqey7apAGD7w7RnvoT\np598o5XfySvbdzIjmAmjF4dKZXmxOMK5dS1W6hWUIWUcdq/7r4Fi7ylWagF4yRegdDZaJ3FUhVTy\nFRI9F1qpteQj5zK47cv0D59PGFWHeDXWrqZxjp2FNU5b9BH88CHmuwGRcXBVBN4wJ3/sQ1bqbS//\nBctTW6hUjgMMShlU8lkrtQD8gf+DXa130kp1wYkQeK4wk4st1evqWkbrrC244YxqrFAFNkQl7Pwl\nQNhxIrG5LxMEcwFFzHuDoQF786hyQ/OpmfEaanSof2QUlYHF1uo19F3Pev92ZiW7CfDo6jmdk874\nK2v1eir1zIwN4o0udTVsYmTmn2+t3mt5nxOTBmWqA8b7oiyJuWdaqeXg0zW8lGLdZjKUyRNjIDuf\npcpO6FXUUDM8k1zdLoxxMCqivn8RrnMsJELIBz34foUwSAPgUEMY3wLYeW8QR46jKhTKRpZiMpxY\n30bSi73tULhDXTnvYHOPdr74c3bkWtAmVl2cAUM9Wd7/kb/a+7GTtCnsi3/8AUsa7qVUORltkqQS\n6xl0HeYu/r/f+Q9uAtvcAWJRDXteSkK0309byk5/xWZdy2m1jxHTDaA0oRqko3A8p1upBjvdCoEe\npNEpExrFoPHxC/bmNQ2bfiIzh5ip9lQU3WFqy2dYqzdgEmRqniap44QqYBif+iY7F27p2gbWpAdZ\nlLwbt9JE5A+z3XNY1nicnXqNc6n0gPG7cXHQWuPqJPFE2kq92oZzec1/guPCN4jrFEVvgJejVi6x\nUg1mtp3N6tyzpONdJExILylquyZaiGlyHL9sJX/Y+Q2WpN/AQ7EjiOFHl1qrZ7wP0ZffQV16GwrD\nUKGJUvECa/XynZcynBognRhEGYfhYhNBztZvD+Zd8F68J24jN7wNjxgnzD+B+vm2IjbsNB/AC36P\nT4jBoZ8GZmXs/K0DdDpnMTCyhVYvRy6M0xNbwEdr7YQ0x1XM6rqIPl1H1i/iRknaek7HO23yVwIF\n8JNxZvRcTKL8JyqxQRLFZpLl96CcY+Ma1XU8/JhLOh7DGEBFuI4/1c0S74KjKhS2trbS1dU1dnvX\nrl20tu69elZHRwd33HHH2O33vve9vO9973vX2iiOfOe2LeJc3p0hx6HaifbqcVUZpSDSiqQXkPLs\nvFk1pr9Mn/dFWmObQBkKxmfHpiuZe5KVcjhmJW7sIUxUDwaUm6WUnWBvuEmSGrqKV2f8F7O9HKDY\nqmdyQs2/2KvXt4T+ltcJolq0MfT4PZzd+mVr9eLtlxMcdzdl4igVEY3UM2+Fvb2oCj2fwG35DQU3\nhChGceAkFp5t5/UyHk/B4Omsb9hIIlmgYpJ4QwtoXrrQSr36hUvofL0Nv6EHQ4RrPIKBhcTidhZG\nWX7iWfxy9akM1G3F8yJK4WzIX2alFsC8xYvZ8du/ouA/Rc6rUDc8h1Pe9xlr9ebOPpnO/EfZ1r+1\nOp8wmeE9yz5ur94ZF/DSmi305vtQQKVSz2nLPmqv3lkXseMPJbpbN2G0g991Gidc9n5r9ZyUz6wP\nLyMaWYxyHdz6hNUPvk+d+yVe2K5IeNuJiJFWn2Rm0wQLhU2Sc467lOe2PMRb7l1Li9IAAA/qSURB\nVAC4cY6rW0F9usZKLcdxaJ13GvE36gjiebxKgszc+cQSdoJMPO6RPGM+Zn2C+tBQ8R0a3zv7mOm4\naKubS01XK7lwFwoXjOb0to9MdbPEIXjhhRdYvXrPwoIdHYe3foYyxticmz6pwjDk4osv5r/+679o\naWlh5cqV3H777XvNKbzjjjv40pe+NIWtFGJvbz79XQYqDWAg7obURQ+w8MP3Wqv31po19OTuAr+M\nO/RBzvrY31irBbBzzVMUir8CpfG8j7HwHHsXbgAb1vyOLZUHUNpjSfNnWHLie6zWe+mP97DdPI0X\nxlk+71paF9jaZbKq66knKI6sxokytJx/FanGjNV6W1c/SnnkZRy/jQVnf9JaaNrtxRd/yVDpTTKx\n+Zy2bCVxi/Uq5TKDzz2MKfahMrNpPc/uuVmplPjtKw+Tr/SxoPE0zl5i9wNJrQ09AwXKlZAZDSnS\nSbuf5kc6YLD8FqGu0JBYQNy1e26WBofo2rAWbTRtJ76HdMsMq/WGukboerEDx3WZ/b451DTa6VWe\nKrlChf6hIvGYR0tjCsdyz9ZwtszQSIlU0mdGQ9J6aOrfPkC+t0CyKUXT/Hocx976AcYY+oeK5AsB\ntZk4DbUJa7WmQhiFbOnZRCnIMafxeJpqmqe6SeLPcLiZ6KgKhQBPP/30XltSfO5zn9vr/0soFEei\n2//jdOZSz8p/emqqmyKEEEIIIY5xh5uJjqrhowDnn38+559vb3K0EDbc9E8vTXUThBBCCCGEmJCs\nzS+EEEIIIYQQ05iEQiGEEEIIIYSYxiQUCiGEEEIIIcQ0JqFQCCGEEEIIIaYxCYVCCCGEEEIIMY1J\nKBRCCCGEEEKIaUxCoRBCCCGEEEJMYxIKhRBCCCGEEGIak1AohBBCCCGEENOYhEIhhBBCCCGEmMYk\nFAohhBBCCCHENCahUAghhBBCCCGmMQmFQgghhBBCCDGNSSgUQgghhBBCiGlMQqEQQgghhBBCTGMS\nCoUQQgghhBBiGpNQKIQQQgghhBDTmIRCIYQQQgghhJjGJBQKIYQQQgghxDQmoVAIIYQQQgghpjEJ\nhUIIIYQQQggxjUkoFEIIIYQQQohpTEKhEEIIIYQQQkxjEgqFEEIIIYQQYhqTUCiEEEIIIYQQ05iE\nQiGEEEIIIYSYxiQUCiGEEEIIIcQ0JqFQCCGEEEIIIaYxCYVCCCGEEEIIMY1JKBRCCCGEEEKIaUxC\noRBCCCGEEEJMYxIKhRBCCCGEEGIak1AohBBCCCGEENOYhEIhhBBCCCGEmMYkFAohhBBCCCHENCah\nUAghhBBCCCGmMQmFQgghhBBCCDGNSSgUQgghhBBCiGlMQqEQQgghhBBCTGMSCoUQQgghhBBiGpNQ\nKIQQQgghhBDTmIRCIYQQQgghhJjGJBQKIYQQQgghxDQmoVAIIYQQQgghpjEJhUIIIYQQQggxjUko\nFEIIIYQQQohpTEKhEEIIIYQQQkxjUxIKH3nkES655BKWLl3Kxo0b9/p/3//+9/nwhz/MxRdfzLPP\nPjt2fMOGDVx66aV8+MMf5utf//q73WQhhBBCCCGEOCZNSShcvHgx3/3ud1m+fPlexzdv3szDDz/M\nQw89xA9/+EP+9V//FWMMAKtWreIb3/gGjz76KNu3b+eZZ56Z8Lk7Ojqst18cG1544YWpboI4isj5\nIg6VnCvicMj5Ig6VnCvicBxuJpqSULho0SIWLly43/HHH3+cSy65BN/3mTNnDvPmzePll1+mp6eH\nfD7PsmXLALj88st57LHHJnzunTt3Wm27OHasXr16qpsgjiJyvohDJeeKOBxyvohDJeeKOByHm4mO\nqDmFPT09tLW1jd1ua2uju7t7v+Otra309PRMRROFEEIIIYQQ4pji2Xria665hr6+vv2O33jjjaxY\nscJWWSGEEEIIIYQQh8FaKLzrrrsO+zGtra3s2rVr7PauXbtoa2ub8HhLS8uEz1FbW8unP/3psduz\nZ89mzpw5h90Wcezr6OjgjjvumOpmiKOEnC/iUMm5Ig6HnC/iUMm5Ig6mo6NjryGjtbW1h/V4a6Hw\nUO1eSAZgxYoV3HzzzVx99dV0d3ezfft2li1bhlKKmpoaXn75ZZYtW8b999/PZz7zmQmf73vf+967\n1XQhhBBCCCGEOOopMz6VvUt+97vf8fWvf53BwUEymQxLly7lhz/8IQB33nkn9957L67rcuutt3Le\neecB1S0pvvzlL1MqlTj//PO57bbb3u1mCyGEEEIIIcQxZ0pCoRBCCCGEEEKII8OUDx+dbHfccQf3\n3HMPjY2NANx000188IMfnOJWiSPNM888wze/+U201lx55ZVce+21U90kcYRasWIF6XQa13XxPI9f\n/epXU90kcQT58pe/zNNPP01TUxMPPvggAENDQ9x44410dnYye/ZsvvOd7xz23A5x7JnoXJFrFnEg\nXV1d3HLLLQwMDKCU4pOf/CRXXXWVvL6I/RzoXDnc15djrqfwu9/9Lul0mmuuuWaqmyKOUFEUcfHF\nF3PXXXfR2trKlVdeye23386iRYumumniCLRixQp+/etfU19fP9VNEUegtWvXkkql+Od//uexC/1/\n//d/p6Ghgb/7u7/jBz/4ASMjI/zjP/7jFLdUTLWJzhW5ZhEH0tvbS19fH0uXLiWfz/Pxj3+c733v\ne9x7773y+iL2cqBz5ZFHHjms15cjap/CyXKM5VwxydavX8+8efOYM2cOvu9zySWX8Pjjj091s8QR\nTF5TxIEsX758v0/pn3jiCa644goArrjiCh577LGpaJo4wkx0roC8voiJNTc3s3TpUgDS6TSLFi2i\nu7tbXl/Efg50rsDhvb4ck6HwZz/7GZdddhlf+cpXGBkZmermiCNMd3c3M2fOHLvd2to69scjxL6U\nUlxzzTV8/OMf55e//OVUN0ccBfr7+5kxYwYAM2bMoL+/f4pbJI5kcs0i3k5HRwebNm1i2bJl8voi\nDmr3uXLaaacBh/f6clSGwmuuuYZLL710v/8ef/xx/vqv/5rHH3+c+++/n+bmZr71rW9NdXPFEUYp\nNdVNEEeR//7v/+a+++7jhz/8IT//+c9Zu3btVDdJHEWUUvKaIw5IrlnE28nn81x//fXceuut1NTU\n7PX/5PVFjDf+XEmn04f9+nJULjRz1113HdL9Vq5cyRe+8AXLrRFHm9bWVrq6usZu79q1i9bW1ils\nkTiStbS0ANDY2MhFF13E+vXrWb58+RS3ShzJmpqa6O3tpbm5mZ6enrFJ/kLsq6mpaex7uWYR+wqC\ngOuvv57LLruMCy+8EJDXFzGxA50rux3K68tR2VN4MD09PWPfP/bYYyxevHgKWyOORKeccgrbt2+n\no6ODSqXCww8/zAUXXDDVzRJHoGKxSC6XA6BQKPDss8/Ka4p4WytWrOA3v/kNAPfdd9/YG7QQ+5Jr\nFnEgxhhuvfVWFi1axNVXXz12XF5fxL4OdK4c7uvLMbf66C233MKmTZtQSjFnzhy++tWvjo29FmK3\np59+eq8tKT73uc9NdZPEEai9vZ3rrrsOqK5ae+mll8q5IvZy0003sXr1aoaGhmhqauL666/nggsu\n4IYbbqCrq0uWjBdj9j1XvvSlL7F69Wq5ZhETWrt2LZ/+9KdZsmTJ2BDRm266iWXLlsnri9jLROfK\njTfeyEMPPXRYry/HXCgUQgghhBBCCHHojrnho0IIIYQQQgghDp2EQiGEEEIIIYSYxiQUCiGEEEII\nIcQ0JqFQCCGEEEIIIaYxCYVCCCGEEEIIMY1JKBRCCCGEEEKIaUxCoRBCCHGYVqxYccDjQ0NDAHzq\nU58aO/7tb3+bj33sY/zHf/zHAZ9z9erVrFu3buz23XffzX333TdJLRZCCCEOzJvqBgghhBBHojAM\n8bw//23y7rvvHvv+nnvuYc2aNWMbC0/khRdeIJ1Oc8YZZwB7h0ohhBDCJgmFQgghjnodHR184Qtf\n4MEHHwTgRz/6EcVikeuuu46f/OQn/OIXv8B1XY4//nhuv/12CoUCX/va19i8eTNhGHLddddxwQUX\n8Otf/5pHH32UYrGI1prbb7+dG264gXw+TxRFrFq1ijPPPJOmpqa3bdMZZ5zBunXr+PznP0+hUOCK\nK67g2muv5eyzz2bVqlV0dnYC8JWvfIXW1lZ+8Ytf4DgODzzwALfddht//OMfSafTfPazn+Uzn/kM\nJ510EmvXrqVQKPDtb3+b73//+2zevJm//Mu/5IYbbgDg/vvv52c/+xlBELBs2TJWrVqF48igICGE\nEAcnoVAIIcQxZ3yP3H/+53/yxBNP4Ps+uVwOgDvvvJNzzjmHf/u3f2NkZISVK1fy/ve/H4BNmzbx\n4IMPUltby49//GPOO+88Pv/5z2OMoVAoANWev0N15513csYZZ4wNBb355pv5m7/5G84880w6Ozv5\n27/9Wx5++GE+9alPkU6nueaaawB4/vnn9/p3xGIx7r33Xn7yk5/wxS9+kfvuu4/a2louuugirrnm\nGvr6+njkkUe4++67cV2XVatW8cADD3D55Ze/sx+mEEKIY56EQiGEEMe0JUuWcPPNN3PhhRdy4YUX\nAvDss8/y5JNP8uMf/xiAIAjo7OxEKcX73/9+amtrAVi2bBlf+cpXCMOQCy+8kBNPPPEdt+e5555j\ny5YtY7fz+fxY2DTGHPBxu+cxnnDCCSxevJgZM2YAMHfuXLq6uli7di0bN27kE5/4BAClUmnsPkII\nIcTBSCgUQghx1PM8D6312O1SqTT2/Q9+8APWrFnDk08+yZ133jk2xPSOO+5gwYIFez3P+vXrSaVS\nY7eXL1/Oz3/+c5566in+5V/+hauvvvod97wZY/jlL39JLBY7rMftvr/jOHs9VilFGIYAXHHFFdx0\n003vqH1CCCGmH5loIIQQ4qjX1NREf38/Q0NDVCoVnnrqKaAawDo7O3nf+97HzTffTDabpVAocN55\n5/HTn/507PGvvvrq2P3H6+zspLGxkZUrV7Jy5Uo2bdr0jtt67rnn7lV793Om02ny+fxe9z1Yz+F4\nSinOOeccfvvb3zIwMADA0NDQ2LxFIYQQ4mCkp1AIIcRRz/d9/v7v/56VK1fS2trKokWLAIiiiFtu\nuYVsNgvAVVddRSaT4Ytf/CLf+MY3uPTSSzHGMGfOHO68806UUnvN41u9ejU/+tGP8DyPdDrNt7/9\n7UNu0/jnGf/9bbfdxle/+lUuu+wyoijirLPOYtWqVXzoQx/i+uuv54knnuDWW2/d73ETPdd4ixYt\n4h/+4R/47Gc/i9Yaz/NYtWoVs2bNOuQ2CyGEmJ6UOdSPIYUQQgghhBBCHHNk+KgQQgghhBBCTGMS\nCoUQQgghhBBiGpNQKIQQQgghhBDTmIRCIYQQQgghhJjGJBQKIYQQQgghxDQmoVAIIYQQQgghpjEJ\nhUIIIYQQQggxjUkoFEIIIYQQQohp7P8HQ6hFk3WsXVMAAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x118a3dc90>"
]
}
],
"prompt_number": 14
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"fig = plt.figure(figsize=(15, 6))\n",
"ax = fig.add_subplot(111, xlabel=u'users\\' lifetime', \n",
" ylabel=u'frequency of being followed',\n",
" title=u'Different-gendered Users\\' Lifetime & Frequency of Being Followed')\n",
"\n",
"reg_x = []\n",
"reg_y = []\n",
"\n",
"garr = (u'male', u'female', None)\n",
"for i in range(3):\n",
" lx = []\n",
" ly = []\n",
" for uid in genders_category[garr[i]]:\n",
" if uid in result:\n",
" x_val = lifetime(shift(result[uid]))\n",
" y_val = sum(result[uid])\n",
" lx.append(x_val)\n",
" reg_x.append(x_val)\n",
" ly.append(y_val)\n",
" reg_y.append(y_val)\n",
" color = set2[i]\n",
" ax.scatter(np.asarray(lx), np.asarray(ly), label=str(i)+\"1-\"+str(i+1)+\"0\", color=color, alpha=0.5)\n",
"\n",
"x = np.asarray(reg_x)\n",
"y = np.asarray(reg_y)\n",
"A = array([ x, np.ones(len(x))])\n",
"w = linalg.lstsq(A.T,y)[0]\n",
"\n",
"true_intercept = w[1]\n",
"true_slope = w[0]\n",
"\n",
"x = np.linspace(0, 23, size)\n",
"regression_line = true_slope * x + true_intercept\n",
"\n",
"operand = u'' if w[1] < 0 else u'+'\n",
"\n",
"ax.plot(regression_line, label=\"y=\" + \"{0:.2f}\".format(w[0]) + \"x\" + operand + \"{0:.2f}\".format(w[1]) , linewidth=4., color=set2[0])\n",
"ax.legend(loc=2)\n",
"\n",
"fig.savefig('x_lifetime_y_followCount.png')"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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Rr18/XLx4EaNHj9YrP2jQIAQEBCAgIADffvst5s6dKy/fbRHcv38/ioqK0L9/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j9U/JZPQ1NwbZJjE5v44ISzONGn9kq/8T2ufW45m3e1kmNSTC47jtC0WT61BoyOUF6zhqSTh7VJ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\n",
"text": [
"<matplotlib.figure.Figure at 0x118a1a150>"
]
}
],
"prompt_number": 18
},
{
"cell_type": "raw",
"metadata": {},
"source": [
"\u7531\u4e0a\u5716\u53ef\u770b\u51fa\u4f7f\u7528\u8005\u7684\u751f\u547d\u9031\u671f\u8207\u8ffd\u96a8\u8005\u6578\u76ee\u6c92\u6709\u986f\u8457\u95dc\u4fc2\u3002"
]
},
{
"cell_type": "heading",
"level": 3,
"metadata": {},
"source": [
"\u6700\u591a\u8a02\u95b1\u6392\u884c\u699c Top 10"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"cur.execute(\"\\\n",
"SELECT f.following_id, u.email, COUNT(f.follower_id) c, r.r_total, r.f_avg \\\n",
"FROM follows f \\\n",
"JOIN (SELECT id, email FROM users) u ON f.following_id=u.id \\\n",
"JOIN (SELECT user_id, COUNT(user_id) r_total, AVG(favorites_count) f_avg FROM recipes WHERE state='published' GROUP BY user_id) r ON r.user_id=f.following_id \\\n",
"GROUP BY following_id ORDER BY c DESC\")\n",
"hot_users = cur.fetchall()\n",
"\n",
"for i in range(10):\n",
" print hot_users[i][1] + \" (\" + str(hot_users[i][2]) + \")\""
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"am0105@yahoo.com.tw (15743)\n",
"farmdirect55@gmail.com (15299)\n",
"lorina168@gmail.com (15209)\n",
"agneta@pixnet.net (14626)\n",
"guesslin@hotmail.com (14196)\n",
"vanilla_fiber@yahoo.com.tw (14119)\n",
"sweetmilk0429@hotmail.com (14059)\n",
"jen651115@yahoo.com.tw (14045)\n",
"momopan18@yahoo.com.tw (13958)\n",
"aap123452001@yahoo.com.tw (13905)\n"
]
}
],
"prompt_number": 19
},
{
"cell_type": "heading",
"level": 3,
"metadata": {},
"source": [
"\u8a02\u95b1\u6578\u8207\u767c\u8868\u98df\u8b5c\u6578\u6563\u4f48\u5716"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"dic = {}\n",
"size = 15000\n",
"for user in hot_users:\n",
" dic[user[0]] = [user[2], user[3], user[4]]\n",
"\n",
"fig = plt.figure(figsize=(15, 6))\n",
"ax = fig.add_subplot(111, xlabel=u'number of follower', \n",
" ylabel=u'number of published recipe',\n",
" title=u'Number of Different-aged Users\\' Follower & Published Recipe')\n",
"\n",
"reg_x = []\n",
"reg_y = []\n",
"for i in range(8):\n",
" lx = []\n",
" ly = []\n",
" for uid in ages_category[i]:\n",
" if uid in dic:\n",
" x_val = dic[uid][0]\n",
" y_val = dic[uid][1]\n",
" lx.append(x_val)\n",
" reg_x.append(x_val)\n",
" ly.append(y_val)\n",
" reg_y.append(y_val)\n",
" color = set2[i]\n",
" ax.scatter(np.asarray(lx), np.asarray(ly), label=str(i)+\"1-\"+str(i+1)+\"0\", color=color, alpha=0.5)\n",
"\n",
"x = np.asarray(reg_x)\n",
"y = np.asarray(reg_y)\n",
"A = array([ x, np.ones(len(x))])\n",
"w = linalg.lstsq(A.T,y)[0]\n",
"\n",
"true_intercept = w[1]\n",
"true_slope = w[0]\n",
"\n",
"x = np.linspace(0, size-1, size)\n",
"regression_line = true_slope * x + true_intercept\n",
"\n",
"ax.plot(regression_line, label=\"y=\" + \"{0:.2f}\".format(w[0]) + \"x\" + operand + \"{0:.2f}\".format(w[1]) , linewidth=4., color=set2[0])\n",
"ax.legend(loc=2)\n",
"\n",
"fig.savefig('x_lifetime_y_followCount.png')"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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lCzfccAMeHh6MGTOG+Ph4MjMz8fX1LXbeFZ27iIiIiIicGY0cniOdO3dm1qxZ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ed3v/sdpaWllJaWsmTJEgCeffZZ3n//febOnctPf/rTbp3ztm3bKC8vp7S0lLlz5xIKhc64/apV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\n",
"text": [
"<matplotlib.figure.Figure at 0x112712d50>"
]
}
],
"prompt_number": 45
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"dic = {}\n",
"size = 15000\n",
"for user in hot_users:\n",
" dic[user[0]] = [user[2], user[3], user[4]]\n",
"\n",
"fig = plt.figure(figsize=(15, 6))\n",
"ax = fig.add_subplot(111, xlabel=u'number of follower', \n",
" ylabel=u'number of published recipe',\n",
" title=u'Number of Different-gendered Users\\' Follower & Published Recipe')\n",
"\n",
"reg_x = []\n",
"reg_y = []\n",
"\n",
"for i in range(3):\n",
" lx = []\n",
" ly = []\n",
" for uid in genders_category[garr[i]]:\n",
" if uid in dic:\n",
" x_val = dic[uid][0]\n",
" y_val = dic[uid][1]\n",
" lx.append(x_val)\n",
" reg_x.append(x_val)\n",
" ly.append(y_val)\n",
" reg_y.append(y_val)\n",
" color = set2[i]\n",
" ax.scatter(np.asarray(lx), np.asarray(ly), label=str(i)+\"1-\"+str(i+1)+\"0\", color=color, alpha=0.5)\n",
"\n",
"x = np.asarray(reg_x)\n",
"y = np.asarray(reg_y)\n",
"A = array([ x, np.ones(len(x))])\n",
"w = linalg.lstsq(A.T,y)[0]\n",
"\n",
"true_intercept = w[1]\n",
"true_slope = w[0]\n",
"\n",
"x = np.linspace(0, size-1, size)\n",
"regression_line = true_slope * x + true_intercept\n",
"\n",
"ax.plot(regression_line, label=\"y=\" + \"{0:.2f}\".format(w[0]) + \"x\" + operand + \"{0:.2f}\".format(w[1]) , linewidth=4., color=set2[0])\n",
"ax.legend(loc=2)\n",
"\n",
"fig.savefig('x_lifetime_y_followCount.png')"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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CyWER8PT0ZP/+/cUdhoiIiIiISK40rVRERERERESUHIqIiIiIiIiSQxERERER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\n",
"text": [
"<matplotlib.figure.Figure at 0x118a53550>"
]
}
],
"prompt_number": 21
},
{
"cell_type": "raw",
"metadata": {},
"source": [
"\u7531\u4e0a\u5716\u53ef\u4ee5\u767c\u73fe\u8d8a\u5e38\u767c\u8868\u98df\u8b5c\u8005\u8d8a\u5bb9\u6613\u88ab\u4ed6\u4eba\u8a02\u95b1\u3002\n",
"\u64c1\u6709\u8f03\u591a\u8ffd\u8a02\u95b1\u8005\u7684\u4f7f\u7528\u8005\u5e74\u9f61\u591a\u70ba31\u6b72\u4ee5\u4e0a\u7684\u5973\u6027\u3002"
]
},
{
"cell_type": "heading",
"level": 3,
"metadata": {},
"source": [
"\u8a02\u95b1\u6578\u8207\u53d7\u6b61\u8fce\u7a0b\u5ea6\u6563\u4f48\u5716"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"fig = plt.figure(figsize=(15, 6))\n",
"ax = fig.add_subplot(111, xlabel=u'number of follower', \n",
" ylabel=u'average of frequency of being favorited',\n",
" title=u'Different-aged Users\\' Follower & Average of Frequency of Being Favorited')\n",
"\n",
"reg_x = []\n",
"reg_y = []\n",
"for i in range(8):\n",
" lx = []\n",
" ly = []\n",
" for uid in ages_category[i]:\n",
" if uid in dic:\n",
" x_val = dic[uid][0]\n",
" y_val = dic[uid][2]\n",
" lx.append(x_val)\n",
" reg_x.append(x_val)\n",
" ly.append(y_val)\n",
" reg_y.append(y_val)\n",
" color = set2[i]\n",
" ax.scatter(np.asarray(lx), np.asarray(ly), label=str(i)+\"1-\"+str(i+1)+\"0\", color=color, alpha=0.5)\n",
"\n",
"x = np.asarray(reg_x)\n",
"y = np.asarray(reg_y)\n",
"A = array([ x, np.ones(len(x))])\n",
"w = linalg.lstsq(A.T,y)[0]\n",
"\n",
"true_intercept = w[1]\n",
"true_slope = w[0]\n",
"\n",
"x = np.linspace(0, size-1, size)\n",
"regression_line = true_slope * x + true_intercept\n",
"\n",
"ax.plot(regression_line, label=\"y=\" + \"{0:.2f}\".format(w[0]) + \"x\" + operand + \"{0:.2f}\".format(w[1]) , linewidth=4., color=set2[0])\n",
"ax.legend(loc=2)\n",
"\n",
"fig.savefig('x_lifetime_y_followCount.png')"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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mICcnR1qXk5ODWbNmoXPnzujcuTNmzZplsv5hmZmZmDlzJnx8fODn54dZs2aZ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P3OeCPbmp8gsKnK/iWRqUwrvnjMTfP3O+J0v1KHjfu4JVFyTy5TaycZFvo86f+dd97hzTffZPfu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\niIiISEb/H/yR+Uj+HRwgAAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x10e664150>"
]
}
],
"prompt_number": 22
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"fig = plt.figure(figsize=(15, 6))\n",
"ax = fig.add_subplot(111, xlabel=u'number of follower', \n",
" ylabel=u'average of frequency of being favorited',\n",
" title=u'Different-gendered Users\\' Follower & Average of Frequency of Being Favorited')\n",
"\n",
"reg_x = []\n",
"reg_y = []\n",
"for i in range(3):\n",
" lx = []\n",
" ly = []\n",
" for uid in genders_category[garr[i]]:\n",
" if uid in dic:\n",
" x_val = dic[uid][0]\n",
" y_val = dic[uid][2]\n",
" lx.append(x_val)\n",
" reg_x.append(x_val)\n",
" ly.append(y_val)\n",
" reg_y.append(y_val)\n",
" color = set2[i]\n",
" ax.scatter(np.asarray(lx), np.asarray(ly), label=str(garr[i]), color=color, alpha=0.5)\n",
"\n",
"x = np.asarray(reg_x)\n",
"y = np.asarray(reg_y)\n",
"A = array([ x, np.ones(len(x))])\n",
"w = linalg.lstsq(A.T,y)[0]\n",
"\n",
"true_intercept = w[1]\n",
"true_slope = w[0]\n",
"\n",
"x = np.linspace(0, size-1, size)\n",
"regression_line = true_slope * x + true_intercept\n",
"\n",
"ax.plot(regression_line, label=\"y=\" + \"{0:.2f}\".format(w[0]) + \"x\" + operand + \"{0:.2f}\".format(w[1]) , linewidth=4., color=set2[0])\n",
"ax.legend(loc=2)\n",
"\n",
"fig.savefig('x_lifetime_y_followCount.png')"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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1Fdsm1Wc1lRO9cMkjH1ym+qr0JFFE9Q3bJ9VXbJtUX7FtUn1WUzlRrc62WpfG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\nAAAAYIvwCAAAAACwRXgEAAAAANj6PyXOhfGWvta2AAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x11758ea10>"
]
}
],
"prompt_number": 27
},
{
"cell_type": "raw",
"metadata": {},
"source": [
"\u7531\u4e0a\u5716\u53ef\u767c\u73fe\u5373\u4f7f\u8a02\u95b1\u8005\u773e\uff0c\u5e73\u5747\u6536\u85cf\u4e0d\u4e00\u5b9a\u6210\u6b63\u6bd4\u3002"
]
}
],
"metadata": {}
}
]
}
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