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when will geoff hinton become most cited academic (based on google scholar data)
{
"nbformat": 4,
"nbformat_minor": 0,
"metadata": {
"colab": {
"name": "when will geoff hinton become most cited academic (based on google scholar data)",
"version": "0.3.2",
"provenance": [],
"collapsed_sections": [],
"include_colab_link": true
},
"kernelspec": {
"name": "python3",
"display_name": "Python 3"
}
},
"cells": [
{
"cell_type": "markdown",
"metadata": {
"id": "view-in-github",
"colab_type": "text"
},
"source": [
"<a href=\"https://colab.research.google.com/gist/zehsilva/4d20f16e0e778b0bcd9169464381811c/when-will-geoff-hinton-become-most-cited-academic-based-on-google-scholar-data.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
]
},
{
"cell_type": "code",
"metadata": {
"id": "Rv2-gjG9aAOU",
"colab_type": "code",
"colab": {}
},
"source": [
"import pandas as pd\n",
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"import matplotlib.cm as cm\n",
"from google.colab import files\n",
"plt.style.use(\"ggplot\")\n",
"\n",
"\n",
"class ColourGroup():\n",
" def __init__(self,n):\n",
" self.colours_list = np.linspace(0,1,n)\n",
" self.n = n\n",
" self.current = 0\n",
" def get_colour(self):\n",
" self.current+=1\n",
" self.current=self.current%self.n\n",
" return cm.get_cmap('tab20')(self.colours_list[self.current ])\n",
"\n",
"colour = ColourGroup(10)\n",
"\n",
"def savedownload(filen):\n",
" plt.savefig(filen)\n",
" files.download(filen)"
],
"execution_count": 0,
"outputs": []
},
{
"cell_type": "markdown",
"metadata": {
"id": "TUrb37NRlAOt",
"colab_type": "text"
},
"source": [
"The initial analysis consist on manually getting Hinton data from google scholar and fitting a function to the exponentially growing rate of citations per year, than compare with the top author in terms of citations (Foulcault). The comparison with Foucault will follow the simple observation that his rate of citations per year in the last 7 years is stable (meaning a linear growth).\n",
"\n",
"After this initial exploration we decided to work in a more general way by creating methods to automatically get data from google scholar, fitting the rate of citations per year, and forecasting into a number of years in the future."
]
},
{
"cell_type": "code",
"metadata": {
"id": "92C7sfX3aB04",
"colab_type": "code",
"outputId": "d448dc58-d80d-4d68-e12f-447774886716",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 286
}
},
"source": [
"before_exp_growth = np.array([1012,1749,2343,3087,3340,4290,3887,3816,3500,3482,3270,3220,3225,2903,3048,3411,3473,3314,3589,3958,4269,4113,4529,4924,5259])\n",
"years=np.array(range(1987,2019,1))\n",
"x=np.array([6160,8697,11482,17522,28458,40535,57467])\n",
"dat = pd.DataFrame({'citations_per_year':np.concatenate((before_exp_growth,x)),'citations':np.cumsum(np.concatenate((before_exp_growth,x))),'years':years}).plot(x='years')\n",
"\n",
"savedownload('hinton_citations.pdf')"
],
"execution_count": 0,
"outputs": [
{
"output_type": "display_data",
"data": {
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ouD5jgITG+XXAFjjRRPLeCxGw3e4mxWIi1dr8/gy4RELDYDCEZXu8uDg+nw+D4ZL4Fxfi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\nQmCC\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "n_f9Ly58hgeF",
"colab_type": "code",
"outputId": "9a13fdf1-3c78-4036-813f-eb7034b2a597",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 572
}
},
"source": [
"# model for exponential growth part\n",
"growth_rate = np.mean(np.log(np.array(x[1:])/np.array(x[:-1])))\n",
"project_growth_exp = lambda x:6160*np.exp(growth_rate*x)\n",
"proj_growth = np.array([project_growth_exp(x) for x in range(7)])\n",
"avg_rel_error = np.mean(np.abs((x-proj_growth)/x))\n",
"print(\"avg_rel_error = \",avg_rel_error)\n",
"fig = pd.DataFrame({'citations_per_year':x,'proj':proj_growth,'years':years[-7:]}).plot(x='years')\n",
"\n",
"\n",
"# extrapolation of n years\n",
"n=5\n",
"years=np.array(range(1987,2019+n,1))\n",
"x_extra=np.array([project_growth_exp(x) for x in range(7,7+n)])\n",
"dat = pd.DataFrame({'citations_per_year':np.concatenate((before_exp_growth,x,x_extra)),'citations':np.cumsum(np.concatenate((before_exp_growth,x,x_extra))),'years':years})\n",
"dat['foucault_final'] = 945056 + (n-1)*70000\n",
"\n",
"dat.plot(x='years',cmap=plt.get_cmap('tab20b'))\n",
"savedownload('hinton_foucault_simple.pdf')"
],
"execution_count": 0,
"outputs": [
{
"output_type": "stream",
"text": [
"avg_rel_error = 0.04206463351162403\n"
],
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"image/png": 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uQAJECOEy+qcfoF5fC11jMNz3N5Q5jJczC3l7v4WESD8elAWgOjQJECFEu1N2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\nTkSuQmCC\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": []
}
},
{
"output_type": "display_data",
"data": {
"image/png": 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+br31ViZMmMBtt93mWi6EcJPtKFr1GVREvLeTyJGJU/V/y9CL7R7bX5WmoYUa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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "npdYglGV0zkl",
"colab_type": "code",
"outputId": "3d1797cf-ee7a-444f-f9a0-cc26872e59aa",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 35
}
},
"source": [
"years[-1]"
],
"execution_count": 0,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"2023"
]
},
"metadata": {
"tags": []
},
"execution_count": 104
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "72-A8idhn8MS",
"colab_type": "text"
},
"source": [
"If the same trend of today continue by the year 2023 Geoffrey Hinton will become the most cited academic. \n",
"\n",
"We will validate our findings with a more generic approach. We will \n"
]
},
{
"cell_type": "code",
"metadata": {
"id": "5AtZhYFRxXrQ",
"colab_type": "code",
"colab": {}
},
"source": [
"# model for exponential growth part\n",
"def fit_exp(data,time,name,plotting=False):\n",
" growth_rate = np.mean(np.log(np.array(data[1:])/np.array(data[:-1])))\n",
" project_growth_exp = lambda x:data[0]*np.exp(growth_rate*(x-time[0]))\n",
" proj_growth = np.array([project_growth_exp(x) for x in time])\n",
" avg_rel_error = np.mean(np.abs((data-proj_growth)/data))\n",
" print(\"avg_rel_error %s = %f \"%(name,avg_rel_error))\n",
" if(plotting):\n",
" dat = pd.DataFrame({'original':data,'proj':proj_growth,'years':time}).plot(x='years')\n",
" return project_growth_exp\n",
"\n",
"# extrapolation of n years\n",
"def extrapolate(n,ydata,time,growth_fun,name,option='cumsum',ax=None):\n",
" \"\"\"\n",
" - n: number of years to project in the future\n",
" - ydata: past values of the variable (citations per year)\n",
" - time: time reference for past values of variable ydata\n",
" - growth_fun: function that given a year predicts the number of citations per year, function that extrapolate ydata\n",
" - name: name to be included as suffix of the subtitles\n",
" - option: \n",
" - 'cumsum': extrapolate, plot and returns the total number of citations (the cumulative sum of citations per year)\n",
" - 'per_year': extrapolate, plot and returns the rate of citations per year\n",
" - 'all' (or any other string): do both previus options\n",
" - ax=None: axis to plot\n",
" \"\"\"\n",
" years=np.array(range(time[0],time[-1]+n+1,1))\n",
" yline = np.cumsum(ydata)[-1]\n",
" y_all = np.concatenate((ydata,\\\n",
" np.array([growth_fun(time[-1]+x+1) for x in range(n)])))\n",
" if(option=='cumsum'):\n",
" dat = pd.DataFrame({'citations_'+name:np.cumsum(y_all),'years':years})\n",
" elif(option=='cit_per_year'):\n",
" dat = pd.DataFrame({'citations_per_year_'+name:y_all,'years':years})\n",
" else:\n",
" dat = pd.DataFrame({'citations_per_year_'+name:y_all,'citations_'+name:np.cumsum(y_all),'years':years})\n",
" if(ax is None):\n",
" ax=dat.plot(x='years',color=colour.get_colour())\n",
" else:\n",
" ax=dat.plot(ax=ax,x='years',color=colour.get_colour())\n",
" plt.vlines(time[-1], 0, yline, colors='k', linestyles='dotted')\n",
" return dat,ax\n",
"\n",
"def fit_extrapolate(ddata,key,n_years=5,lag_past=10,option='cumsum',ax=None):\n",
" \"\"\"\n",
" - ddata: dictionary with the data about citations\n",
" - keys: author names who are keys in the ddata\n",
" - n_years: number of years to project in the future\n",
" - lag_past: when fitting the citations per year rate, how many previous time points to look in the past\n",
" - option: \n",
" - 'cumsum': extrapolate, plot and returns the total number of citations (the cumulative sum of citations per year)\n",
" - 'per_year': extrapolate, plot and returns the rate of citations per year\n",
" - 'all' (or any other string): do both previus options\n",
" - ax=None: axis to plot\n",
" \"\"\"\n",
" f=fit_exp(ddata[key]['citations'][-lag_past:],ddata[key]['years'][-lag_past:],key)\n",
" return extrapolate(n_years,ddata[key]['citations'],ddata[key]['years'],f,key,option,ax)\n",
"\n"
],
"execution_count": 0,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "Z9ZEFQ8ovI4o",
"colab_type": "code",
"colab": {}
},
"source": [
""
],
"execution_count": 0,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "m5FG0X6yayP7",
"colab_type": "code",
"colab": {}
},
"source": [
"## goes to google scholar via link of author and gets name, institution and list of years and citation per year \n",
"import urllib\n",
"import re\n",
"from html.parser import HTMLParser\n",
"from urllib.request import urlopen\n",
"\n",
"\n",
"class googlescholar(HTMLParser):\n",
" def __init__(self):\n",
" super().__init__()\n",
" self.reset()\n",
" self.in_citation_count = False\n",
" self.in_year_list = False\n",
" self.in_name = False\n",
" self.in_inst = False\n",
" self.citations = []\n",
" self.years = []\n",
" self.name = \"\"\n",
" self.inst = \"\"\n",
"\n",
" def handle_starttag(self, tag, attrs):\n",
" if(tag == 'span'):\n",
" for name, value in attrs:\n",
" if name == 'class' and value=='gsc_g_al':\n",
" self.in_citation_count = True\n",
" if name == 'class' and value=='gsc_g_t':\n",
" self.in_year_list = True\n",
" if(tag=='div'):\n",
" for name, value in attrs:\n",
" if name == 'id' and value==\"gsc_prf_in\":\n",
" self.in_name = True\n",
" if name == 'class' and value==\"gsc_prf_il\":\n",
" self.in_inst = True\n",
" \n",
" def handle_endtag(self,tag):\n",
" if(tag == 'span' and self.in_citation_count):\n",
" self.in_citation_count = False\n",
" if(tag == 'span' and self.in_year_list):\n",
" self.in_year_list = False\n",
" if(tag == 'div' and self.in_name):\n",
" self.in_name = False\n",
" if(tag == 'div' and self.in_inst):\n",
" self.in_inst = False\n",
"\n",
" def handle_data(self, data):\n",
" if(self.in_citation_count):\n",
" self.citations.append(int(data))\n",
" if(self.in_year_list):\n",
" self.years.append(int(data))\n",
" if(self.in_name):\n",
" self.name = data.split()[-1]\n",
" if(self.in_year_list):\n",
" self.inst = data\n",
"\n",
"def openurlitem(item):\n",
" response = urlopen(item).read().decode(\"ISO-8859-1\")\n",
" return response\n",
"\n",
"def process_item(url_link):\n",
" parser = googlescholar()\n",
" parser.feed(openurlitem(url_link))\n",
" return {parser.name : {\"citations\":np.array(parser.citations[:-1]),\"years\":np.array(parser.years[:-1])}}"
],
"execution_count": 0,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"id": "0-BN0_RAdDQH",
"colab_type": "code",
"outputId": "6e40fdca-b220-4412-9e02-1766aa4198f1",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 34
}
},
"source": [
"ddata = dict()\n",
"ddata.update(process_item(\"https://scholar.google.com/citations?user=AKqYlxMAAAAJ&hl=en&oi=ao#d=gsc_md_hist\")) # Foucault\n",
"ddata.update(process_item(\"https://scholar.google.com/citations?hl=en&user=d_lp40IAAAAJ\")) # Bourdieu\n",
"ddata.update(process_item(\"https://scholar.google.com/citations?hl=en&user=_QnLm3kAAAAJ\")) # Altman\n",
"ddata.update(process_item(\"https://scholar.google.com/citations?hl=en&user=I6dIhHQAAAAJ\")) # Marx\n",
"ddata.update(process_item(\"https://scholar.google.com/citations?hl=en&user=rbgNVw0AAAAJ\")) # chomsky\n",
"ddata.update(process_item(\"https://scholar.google.com/citations?hl=en&user=ZpG_cJwAAAAJ\")) # tibshirani\n",
"ddata.update(process_item(\"https://scholar.google.com/citations?hl=en&user=JicYPdAAAAAJ\")) # hinton\n",
"ddata.update(process_item(\"https://scholar.google.com/citations?hl=en&user=muejNL8AAAAJ\")) #bandura\n",
"ddata.update(process_item(\"https://scholar.google.com/citations?hl=en&user=LXVfPc8AAAAJ\")) #lander\n",
"ddata.update(process_item(\"https://scholar.google.com/citations?user=g9WIbh0AAAAJ&hl=en\")) #michael porter\n",
"ddata.update(process_item(\"https://scholar.google.com/citations?hl=en&user=fraRBsIAAAAJ\")) #Richard M Ryan\n",
"ddata.update(process_item(\"https://scholar.google.com/citations?hl=en&user=SW3aNagAAAAJ\")) #Mark Daly\n",
"ddata.update(process_item(\"https://scholar.google.com/citations?hl=en&user=O3FVg9AAAAAJ\")) #Bert Vogelstein\n",
"ddata.update(process_item(\"https://scholar.google.com/citations?hl=en&user=XJOBBI4AAAAJ\")) #Philip Kotler\n",
"ddata.keys()\n"
],
"execution_count": 0,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"dict_keys(['Foucault', 'Bourdieu', 'Altman', 'Marx', 'Chomsky', 'Tibshirani', 'Hinton', 'Bandura', 'Lander', 'Porter', 'Ryan', 'Daly', 'Vogelstein', 'Kotler'])"
]
},
"metadata": {
"tags": []
},
"execution_count": 51
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "2vCTC91rnm1J",
"colab_type": "text"
},
"source": [
""
]
},
{
"cell_type": "code",
"metadata": {
"id": "740ceT4OjJdV",
"colab_type": "code",
"outputId": "3abf8b97-b65e-4804-eb4e-c37cf0a2ad63",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 54
}
},
"source": [
"# add some extra top authors\n",
"ddata.update(process_item(\"https://scholar.google.com/citations?hl=en&user=ljQwt8QAAAAJ\"))\n",
"ddata.update(process_item(\"https://scholar.google.com/citations?hl=en&user=wp4RL1sAAAAJ\"))\n",
"ddata.update(process_item(\"https://scholar.google.com/citations?hl=en&user=N80kIiYAAAAJ\"))\n",
"ddata.update(process_item(\"https://scholar.google.com/citations?hl=en&user=L4S0dT0AAAAJ\"))\n",
"ddata.update(process_item(\"https://scholar.google.com/citations?hl=en&user=xmOaZ8EAAAAJ\"))\n",
"ddata.update(process_item(\"https://scholar.google.com/citations?hl=en&user=gm9yzgEAAAAJ\"))\n",
"ddata.update(process_item(\"https://scholar.google.com/citations?hl=en&user=vsj2slIAAAAJ\"))\n",
"ddata.update(process_item(\"https://scholar.google.com/citations?hl=en&user=q_4u0aoAAAAJ\"))\n",
"ddata.update(process_item(\"https://scholar.google.com/citations?hl=en&user=rahhbn0AAAAJ\"))\n",
"ddata.update(process_item(\"https://scholar.google.com/citations?hl=en&user=CNsGZOYAAAAJ\"))\n",
"ddata.keys()\n"
],
"execution_count": 0,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"dict_keys(['Foucault', 'Bourdieu', 'Altman', 'Marx', 'Chomsky', 'Tibshirani', 'Hinton', 'Bandura', 'Lander', 'Porter', 'Ryan', 'Daly', 'Vogelstein', 'Kotler', 'Cowan', 'bauman', 'Freud', 'Vygotsky', 'Levy', 'Snyder', 'Barabási', 'Friston', 'Goffman', 'Arendt'])"
]
},
"metadata": {
"tags": []
},
"execution_count": 86
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "5bXCRfbmb3xO",
"colab_type": "code",
"outputId": "ad8c86dd-c63b-43df-8b7e-ab6f51e1102d",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 526
}
},
"source": [
"\n",
"select_list = ['Foucault', 'Bourdieu', 'Altman', 'Marx', 'Chomsky', 'Tibshirani', 'Hinton', 'Bandura', 'Lander', 'Porter', 'Ryan', 'Daly', 'Vogelstein', 'Kotler']\n",
"ax = None\n",
"colour = ColourGroup(len(select_list)+2)\n",
"ax = None\n",
"ext = None\n",
"for name in select_list :\n",
" ext_t,ax=fit_extrapolate(ddata,name,n_years=5,lag_past=5,ax=ax)\n",
" if(ext is None):\n",
" ext=ext_t.set_index('years')\n",
" else:\n",
" ext=ext.join(ext_t.set_index('years'))\n",
"savedownload('analysis_hinton.pdf')\n",
"#plt.savefig('analysis_hinton.pdf')\n"
],
"execution_count": 0,
"outputs": [
{
"output_type": "stream",
"text": [
"avg_rel_error Foucault = 0.043260 \n",
"avg_rel_error Bourdieu = 0.031902 \n",
"avg_rel_error Altman = 0.007177 \n",
"avg_rel_error Marx = 0.010621 \n",
"avg_rel_error Chomsky = 0.036758 \n",
"avg_rel_error Tibshirani = 0.004321 \n",
"avg_rel_error Hinton = 0.033796 \n",
"avg_rel_error Bandura = 0.024539 \n",
"avg_rel_error Lander = 0.036251 \n",
"avg_rel_error Porter = 0.049479 \n",
"avg_rel_error Ryan = 0.027612 \n",
"avg_rel_error Daly = 0.004572 \n",
"avg_rel_error Vogelstein = 0.022826 \n",
"avg_rel_error Kotler = 0.013416 \n"
],
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
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aa6/x+uuvExoaiqurK0uWLAHg6aefZsuWLXTt2pXg4GDq1atX6LhVq1bl9ddfp1+/fnh7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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "uTURZxkiPojX",
"colab_type": "code",
"outputId": "1510156f-fbac-4af9-c268-85b6d48d98e3",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 604
}
},
"source": [
"ddata.update(process_item(\"https://scholar.google.com/citations?hl=en&user=kukA0LcAAAAJ\")) # Yoshua Bengio\n",
"ddata.update(process_item(\"https://scholar.google.com/citations?hl=en&user=x04W_mMAAAAJ\")) # Ilya Sutskever\n",
"ddata.update(process_item(\"https://scholar.google.com/citations?user=0RAmmIAAAAAJ&hl=en&oi=sra\")) # Kyunghyun Cho\n",
"\n",
"colour = ColourGroup(len(ddata))\n",
"ax = None\n",
"for name in ddata :\n",
" ext,ax=fit_extrapolate(ddata,name,n_years=5,lag_past=5,ax=ax)\n",
"savedownload('analysis_hinton_including_ml.pdf')"
],
"execution_count": 0,
"outputs": [
{
"output_type": "stream",
"text": [
"avg_rel_error = 0.04326048796783883\n",
"avg_rel_error = 0.031902229370081296\n",
"avg_rel_error = 0.007177248689954316\n",
"avg_rel_error = 0.010621346661137551\n",
"avg_rel_error = 0.03675829855631711\n",
"avg_rel_error = 0.00432134498270233\n",
"avg_rel_error = 0.03379598880510215\n",
"avg_rel_error = 0.024539091605678312\n",
"avg_rel_error = 0.036251466036567245\n",
"avg_rel_error = 0.04947891150973967\n",
"avg_rel_error = 0.027612068264614986\n",
"avg_rel_error = 0.004571975271337363\n",
"avg_rel_error = 0.022825530090185075\n",
"avg_rel_error = 0.013415671795521061\n",
"avg_rel_error = 0.0599908132866237\n",
"avg_rel_error = 0.18777752593265146\n",
"avg_rel_error = 0.3107680117662886\n"
],
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"image/png": 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BRKgMvXr1kurHCILw9MrUWWqZODKYiNtcgiAIAgBZ1pmJ2BosCIIgOCrz3mDi\n7SoGE0EQBMFB2dbBRNzmEgRBEByVozPipJDhrLS/PpQYTJ5AVaWeCcCJEyd48cUX6d69O3369GHK\nlCnk5+cTHR39yGqaJCcnM3LkyEfSlyA8zXL0RlwdmJWA2M31RCr6i3Hz5s20bNmSevXqlXvO/e0W\nLVpUqTEC3LlzhzfffJOVK1dKVTB37txZ6lPugiA8+XJ1RtwcWHwHGwaTu3fvsmLFCv744w9kMhlh\nYWH069ePTZs2sX//fmrUqAHAK6+8Qvv27QHYtm0biYmJyOVyRo8eTUBAAACpqamsW7cOk8lEaGio\nlGH29u3bLFmyhOzsbJo0acKECRNQKpUUFhYSGxvLpUuX8PT0JDIykjp16pTbR1VUVeuZrF+/noiI\nCGkgAUsmYKsLFy4wdOhQfv/9d8aNG8fYsWMBWL16NRs3bgQsPzevv/46V69eZcSIEbRv355jx44R\nEBDAsGHDiI6O5u7du8TGxhIYGMhPP/3ErFmzAJDL5SViS01N5d1332XNmjWMGDGC7777Dh8fH0wm\nE927d5e+FgShpDy9EffKGkwUCgWvvfYaTZo0IT8/n2nTptG2bVvAUsdi0KBBxdpfu3aN5ORkFi9e\nTEZGBh9//DFLly4FYO3atcyYMQMfHx+mT59OUFAQ9evX56uvvqJ///4EBwezZs0aEhMT6dOnD4mJ\niXh4eLB8+XIOHTpEXFwcUVFRZfbxIPUv8mNXYPzPfxw+vzSKpk1xe+fv5bapyvVMzp8/T0RERJmv\np6WlsXnzZnJzc+nevTsjR47kl19+YdOmTezcuROz2cyAAQPo2rUrXl5eXLlyhdWrV7N48WL69etH\nfHw88fHx7Nu3j+XLl/P555+zatUq5s2bR8eOHdHpdMUSS6akpDBz5kzWrVuHr68vL730Elu3buX1\n11/nhx9+oFWrVmIgEYRy5OmNDj39DjasmXh7e9OkSRPAUnPC19dXynBbmpSUFLp164aTkxN16tSh\nXr16pKWlkZaWRr169ahbty5KpZJu3bqRkpKC2Wzm7NmzdOnSBbA8IJeSkgLAsWPHpIflunTpwpkz\nZzCbzWX2URU9DfVMyhIaGoqLiwtqtZpatWpx584djh49St++fXF3d8fDw4MXXniBI0eOANCgQQOe\ne+455HI5zZs3569//SsymYyWLVty9epVwJJQ8sMPP2Tt2rVkZmZK5X7T0tL45z//yfr16/H19QXg\n5ZdfZsuWLQB88803DBs2zOHvRRCedmYzFOiNeDyKNZPbt29z+fJlmjVrxq+//srevXs5ePAgTZo0\nYeTIkahUKrRaLX5+ftI5arXaLTX3AAAgAElEQVRaGnyKfir08fHh4sWLZGdn4+7uLn3CLNpeq9VK\n5ygUCtzd3cnOzi63D0dVNIN4Ejxp9UyaN2/OqVOnysxC7OLiIv1ZoVBUODAVbS+Xy6WKjXK5XDr3\nnXfeITQ0lMTERAYOHEhcXBxgqami0+k4c+aMtG7k6+tL7dq1+fHHH0lNTSU2Ntam90UQqiMjllom\nnpV1m8uqoKCA6OhoRo0ahbu7O3369GHo0KGAZSfRhg0bGD9+vENBVBaNRoNGowFg/vz51KpVq9jr\nt27dkj7ZPi49evRg9OjRvPXWW9JtLrlcjlwuR6lUolKpyM/PR6lUSr9Qrb84d+3axcCBA0u0A5DJ\nZCgUCoKCgpg1axaZmZnUrFmT7du3M3bsWKmd9f8KhULq88qVK3Tq1IlOnTqRlJTE7du3pbWqosaN\nG8cLL7xAnz596NChAwC7du2iY8eOxb4HK4VCQbdu3Zg4cSL/+Mc/MJvN7NmzhxUrVkgfJqzt5XI5\nCoUCpVJZ7LUrV67Qpk0b2rRpw6lTp7h06RJeXl54eXkRExPDsGHD8PT0JDg4GIBXX32ViRMnEhER\nUWywspWLi0uJnxtbKJVKh857FERsjnnaY8spNKLTG1F7ujn2M29LI4PBQHR0NN27d6dz584A1KxZ\nU3o9NDSUBQsWAJZZQnp6uvSaVquVPtUWPZ6eno5arcbT05O8vDyMRiMKhaJYe+u1fHx8MBqN5OXl\n4enpWW4fRYWFhREWFiZ9fX+K5vvvuT8OzZo1IzIykiFDhhSrZ2IymTAYDERERDB16tRi9Ux69uwp\n1TMpq53ZbMZoNErrUy+++KK0AB8eHi7NQqz/NxqN0rU++OCDYvVMWrRoUWqqd7VazYoVK/jggw+4\ne/cucrmczp0706NHD0wmk3Q9K6PRSKtWrYiIiKBv376AZQH+ueeek25jWdubTCaMRiMGg0EaRA0G\nA6tWrSI5ORm5XE6LFi3o2bMnP//8M2azGbVazRdffMGrr75KdHQ07du3JzQ0lNzcXCIiIhxKV6/T\n6RxK7V0d0pVXBhGbYx5GbHf0JgxGMy4Yi13L1hT0FdYzMZvNrFixApVKxahRo6TjGRkZ0v39nTt3\nkpaWRmRkJFevXmXZsmXMmzePjIwMPvroI5YtW4bZbOYf//gHs2bNQq1WM336dCZOnEiDBg1YvHgx\nnTt3lhbgGzZsyPPPP8+ePXv47bffeOONNzh06BBHjhxh0qRJZfZR0QK8qGdiv6oe28mTJ/nggw/K\nrfJYHlHP5NESsTnmYcR2MauQ/1l/hrd71Oe1gNrScVsHkwpnJufPn+fgwYM8++yzTJ06FbB8mjx0\n6BBXrlxBJpNRu3Zt3njjDcCyiNq1a1cmTZqEXC5n7Nix0i/5MWPGMHfuXEwmE71795YqCo4YMYIl\nS5bwzTff0LhxY0JCQgAICQkhNjaWCRMmoFKpiIyMrLAPQbCKjY1lw4YNYq1EEGyQ+QDp50FUWhQz\nkwoolUo0Gs0TWc9EVFp0jIjNMU97bPt/z2Pmt+f514Am9GziJR1/aDMTQRD1TATh6Zels3wwq+Hg\nbi5xb0gQBEEg615hLE8H0s+DGEwEQRAELBmDATzEzEQQBEFwlHUw8aysdCqCIAjC0y9Hb0QGuDs7\nNiyIweQJVBXqmSQlJREeHk54eDh+fn50796d8PBwJk6cyMmTJ5k5cyaA3XVNiqbJKaroe/Iw3J+g\nVBCquzy9EVdnBXKZ/YWxQOzmeiJVhXomRXd4DR06tETG4vuzFz+osopfGQwGh1LifPfddw8akiA8\nNUxma/r54vOLXwsKsW1jsBhMJDXOnMYpK/OhXrOwhhdZrdtU2K6q1jMpS3JyMqtWrWLDhg0AnD17\nloEDB6LVahk/fjwjRozg1q1bvP3222RnZ2M0GvnXv/4lpeqZP39+iZiio6Px8PDgrbfeYujQobRq\n1Ypjx44xaNAgmjRpwrJly9Dr9Xh7exMbGyud8/vvv/Pbb7+VqKni5+fHxYsX7fq+BOFpVWgGnd5Y\nYvF94e0cQprYdg1xm+sxs9Yz2bRpExqNho8++kh6bcCAAbRr147Y2FgSEhJwc3Nj1KhR7N69m8TE\nRPLz86V6Jve3s7LWM9m0aRP79u0jNTWVPXv2AEj1TDQaDV26dJEy8FrrmWg0GmlAeBDWGibWQerm\nzZts27aNnj17kpCQQEJCAv7+/uXGdL/CwkL27dvHW2+9RadOndixYwf79u1j8ODB0sAMltT0cXFx\n7Nq1i8WLF1NYWPjA348gPG30WNLPq+5bfL+st/2hYDEzuceWGURlcKSeyf/+7/+Sn5/PH3/8QYsW\nLejTp0+Z7YvWMwGkeiZ9+/YtUc/khx9+AP6sZzJw4EAGDhz4wN/j888/j5ubG25ubnTr1o3U1FQC\nAgKYPHkyBoOB559/ntatWwMla6xYY7pf0TWPGzdu8Pbbb3P79m30ej3PPvus9Jq1poo1+++dO3ds\nfqJXEKoL/b1aJrU9naRjGQYTfxhtT5AiZiZViLWeyerVq9m/fz/Dhw+vtHom7777LtevX6dPnz4P\nXCtGdt+Cnkwmo0uXLnz77bfUq1ePqKgoaXG9rJjuVzTFycyZMxk9ejT79+9nwYIFxd4Te2uqCEJ1\npL93m6toLZNLdsxKQAwmj11wcDA7duyQfmFnZGQUe93Dw4OcnBwA6ZekWq0mNzeXXbt2ldquqICA\nAA4fPoxWq8VoNBIfH0/Xrl3LjenKlSu0b9+eqVOn4uPjUyKnmb327t1LQUEBWq2Wn376iXbt2nHt\n2jVq167NiBEjGD58OKdPn3b4+llZWdLGg4e540sQqgvrzKRoyd7Levs+eInbXI9ZixYtiIyMZOjQ\nocXqmVgNGzaMadOmFatnEhoaKtUzKaudVd26dXnvvfeIiIiQFuDLqoxoNWfOnGL1TKzrGY567rnn\niIiIQKvVEhkZSb169di0aROrVq1CqVTi4eHB0qVLHb7+5MmTefPNN/Hy8iI4OFiqjSIIgm30JjMF\nemOxBxYv6w242rFLWGQNFlmDy1XdYxNZgx8tEZtjHjS2EzlG/v75KcYH/4VXO9QFYPzVP/jDaCKp\nW2ubriFucwmCIFRz1lomRXdzXdEbaGxHni5xm0uoUFJS0hNZz0QQhIcjyzqY3Bs88kwmbhpMNHax\nfYgQg4lQIVHPRBCebtn30s9bB5Mr9xbfH+rM5O7du6xYsYI//vgDmUxGWFgY/fr1Iycnh5iYGO7c\nuUPt2rWJiopCpVJhNptZt24dJ06cwMXFhfHjx9OkieURyqSkJLZu3QpYnnew/oK6dOkSK1asQK/X\nExgYyOjRo5HJZA71IQiCINgn+942YOttrkv3CmU1cbZ9vlHhmolCoeC1114jJiaGuXPnsnfvXq5d\nu0Z8fDxt2rRh2bJltGnThvj4eABOnDjBzZs3WbZsGW+88QafffYZADk5OWzZsoV58+Yxb948tmzZ\nIm1l/fTTT3nzzTdZtmwZN2/eJDU1FcDuPgRBEAT7mM2Qa52Z3BtMLuuNKIH6dsxMKhxMvL29pU/9\nbm5u+Pr6otVqSUlJoWfPngD07NmTlJQUAI4dO0aPHj2QyWQ0b96c3NxcMjIySE1NpW3btqhUKlQq\nFW3btiU1NZWMjAzy8/Np3rw5MpmMHj16SNeytw9BEATBPgagoLB4YawregMNnBU42ZFB2K7dXLdv\n3+by5cs0a9aMzMxMKfVHzZo1ycy0JEnUarXUqlVLOsfHxwetVotWq5VSeoDlwbvSjlvbA3b3IQiC\nINhHb4aC+wpjXdYbaWzHLS6wYwG+oKCA6OhoRo0aVWLfvUwmK5Ey42FzpA+NRoNGowEsmWiLDkAA\nt27dcih9eWUoGscXX3yBm5sbw4YN45tvvqFXr14VpqC/v11UVBRvvfUWLVq0eKixFXXo0CFWrlxZ\nLBnjxIkTCQ8PZ+DAgTbFsHv3bpo2bepwnJX992fN6WUvpVLp0HmPgojNMU9rbKaCQnSF11HIZfjW\nq02hGa6ev83AOt52XdOmf4kGg4Ho6Gi6d+8upQn38vIiIyMDb29vMjIyqFGjBmCZcRR9eCY9PR21\nWo1arebcuXPSca1WS6tWrVCr1aSnp5do70gf9wsLCyMsLEz6+v6HenQ6HQqFYyUqH6b7H74bMWIE\nYHnfv/nmG/z8/Cr8S72/3cKFC6VrPMzYijIajZjN5mKvm0wmjEYjBoPBphh2795NWFgYTZs2faix\nPSw6nc6hh8Ge5gfcKpOIzTEPEttdgyWVioezgvT0dP6jM2AE6hr13L171+bEqBUOJmazmVWrVuHr\n68uAAQOk40FBQRw4cIAhQ4Zw4MABOnbsKB3fs2cPwcHBXLx4EXd3d7y9vQkICODrr7+WFt1PnjzJ\n8OHDUalUuLm5ceHCBfz8/Dh48CB9+/Z1qI8HcWrvLTJvFjzQNe7nVc+Vts/XrbDd01bPxKpo0azS\n+rpy5QoJCQkcPnyYpUuX8umnn5KTk8O0adMoKCigYcOGREdHU7NmTYYOHUpgYCDJyclkZmYSHR1N\ncHCwQ3EJgvAna5JHlYtl1cOadt6ebcFgw5rJ+fPnOXjwIGfOnGHq1KlMnTqV48ePM2TIEE6dOsXE\niRM5ffo0Q4YMASAwMJA6deowceJEVq9ezbhx4wBQqVS89NJLTJ8+nenTpzN06FBUKhUA48aNY/Xq\n1UycOJG6desSGBgIYHcfVVFVr2dy9OhRqXxveHg4CQkJpbYrra+OHTsSHh7OjBkzSEhIoFGjRkRG\nRvL++++j0Who2bIlixcvlq5hMBjYtWsXH374YbHjgiA4zprk0fqMyeV76yeNHvaaScuWLdm0aVOp\nr82aNavEMZlMVuYv95CQEEJCQkocb9q0KdHR0SWOe3p62t2Ho2yZQVSGql7PpFOnTsUGnMjIyFLb\n2VKnJCsri8zMTCmrcUREBG+++ab0er9+/QBo27Yt165dKzcuQRBsY52Z1JYW3w08o5TjJrdvjVrk\n5qpCqmo9k/L6soezs/MDnS8IQkmFWG9zFdnJZUcaFSsxmDxm1aGeSXlUKhW5ubkA1KhRAy8vL44c\nOQLAt99+S5cuXSqtb0EQ/pyZeDgrMJnN/NfOBI9WT8a+2GqsOtQzKc/gwYOZOnUqa9euZc2aNSxZ\nskRagH/22WfF2oggVDLrmomni4IbhSYKzNj9jAmIeiainkkFqntsop7JoyVic8yDxPbvHDPvf57K\nmE71aNlazcTfM/m8QU0C3C23lW3dGixucwmCIFRjOfo/a5lYS/U6smYibnMJFRL1TATh6WQ0Q16R\nweS43oBaIcNLYf88QwwmQoVEPRNBeDpZ10vAUsvkss7+nFxW4jaXIAhCNWXZyWVJP+/hLOey3iAG\nE0EQBME+hUVmJialnCyTmcYujuUrFIOJIAhCNaXnz8EkXWbZ2CtmJoIgCIJd9GbQ3SuMdRvrYCJm\nJk+NDRs2sHnzZgA2btzIzZs3Kzzn/nZTpkzhwoULlRYjWPKEtWzZkvDwcMLCwnj55Zcf2j78jRs3\nStmNBUGoHEULY90wg4dcRh2lY8OCGEyeQCNHjiQiIgKAzZs3c+vWrQrPub/dokWLaN68eaXFaNWp\nUycSEhLQaDQEBASwfv36Su+zNE/qg5WC8CTLNYGx0IiLUsZ/jUYaOSscLnQotgbf8/O2jfzx+9WH\nes2avg3o8LeXK2z3NNQzMZvN5OTk0KhRIwBOnDjBrFmz0Ol0uLq6snjxYpo1a8bGjRtJSEggPz+f\nK1eu8MILLzBjxgzAMhtZvnw5Xl5etGrVSkrsGBkZSVhYmFRPx8/Pj4sXL3Lo0CHmz5+Pl5cXaWlp\n/Pjjj4wZM4br16+j0+kYO3Ysr776qt1/b4JQXeTcG0w87z2w2PneU++OEIPJY2atZ7J9+3bUajUZ\nGRl8/vnngKWeyfr166VBAWDUqFFERUUBMGHCBKmeyf3trKz1TPbs2YOXlxevvPIKe/bsoW/fvlKN\nkWnTpjFnzhzi4uKIjIyU6pk888wzUhLGsljrmWRkZODu7s60adMAaNasGdu2bUOpVHLw4EEWLFjA\np59+CsDZs2fZu3cvzs7O9OjRg9GjR6NUKlm0aBF79uzB09OTiIgIWrduXeH7d/r0aRITE3n22WcB\niI6Oxtvbm/z8fPr370+/fv1KrcIpCNWd0Qx5ZijUG3FzVnDNYHJ4vQTEYCKxZQZRGZ6meiYrVqxg\nzpw5LFiwgKysLCIjI7l8+TIymYzCwkLpnL/+9a9SCebmzZvz+++/o9Vqi8U5aNAgLl26VG7fYMmK\nbB1IAD7//HO+//57wJKL7fLly2IwEYRS5FoeL0FfaETpZFnxcHQnF4g1kyrlSa9n0qdPHyl9/MKF\nC+nWrRuJiYmsX7++WJzW21cAcrm8wvUOpVKJyWT5yTeZTMUGpqJJGJOTk/nhhx/YsWMHGo2G1q1b\nP9D7IwhPs+x7g0mB3gj3Ft2bOPiMCdgwM1m5ciXHjx/Hy8tLqoa4adMm9u/fL326fOWVV2jfvj0A\n27ZtIzExEblczujRowkICAAgNTWVdevWYTKZCA0NlUrw3r59myVLlpCdnU2TJk2YMGECSqWSwsJC\nYmNjuXTpEp6enkRGRlKnTp1y+6iKgoODGTduHOPGjZNucxVVUT2T/v37l2hXVEBAADNnzkSr1eLl\n5UV8fDxjxowpNyZrPZP27duTlJTE9evXbfp0f/ToURo2bAhAdnY29erVAyizUmdRgYGBzJo1C61W\ni6enJzt37qRVq1YA1K9fn9OnTzNo0CD27dtXbDApKjs7Gy8vL9zc3EhLS+P48eMV9isI1VWO2TKb\nyNMZMddwwkkGf3GqxMGkV69e9O3blxUrVhQ73r9/fwYNGlTs2LVr10hOTmbx4sVkZGTw8ccfs3Tp\nUgDWrl3LjBkz8PHxYfr06QQFBVG/fn2++uor+vfvT3BwMGvWrCExMZE+ffqQmJiIh4cHy5cv59Ch\nQ8TFxREVFVVmH3J51ZxkVfV6JtY1E7PZTI0aNVi4cCEAb7/9NpGRkSxdupTQ0NAK34e6desyefJk\nBg0ahJeXV7E+R4wYwejRowkLC6N3795lpoTv1asXX375JT179qRp06bSBxxBEErKMYGHHHL1RuRy\nZxo6KVA6uJMLbKxncvv2bRYsWFBsZuLq6lpiMNm2bRsAf/vb3wCYO3dusS2u1l1E1nZDhgxh3Lhx\nrFmzBoVCwYULF6R21nObN2+O0WjkjTfe4LPPPiM+Pr7UPmzZBivqmdivuscm6pk8WiI2xzgSW1Ie\nqOXwj89TkT+rIqh9bRb8xatEO1vrmTi82rJ3714OHjxIkyZNGDlyJCqVCq1Wi5+fn9RGrVZL99ut\nC6vWP1+8eJHs7Gzc3d1RKBQl2mu1WukchUKBu7s72dnZ5fZxP41Gg0ajAWD+/PnUqlWr2Ou3bt1C\nqXwy9iA8KXGUpjrH5uLiUuLnxhZKpdKh8x4FEZtjnqbYdEYTulwtandXdAYzBrmMVjU9H+j7c+hf\nYp8+fRg6dChgeTZgw4YNjB8/3uEgKktYWBhhYWHS1/eP3DqdThrIHqcn/dO/RqN5IuuZPIr3TafT\nOfRp9Gn7FPuoiNgcY29sGZaH3inIzAbArJRRz6Av9RqVOjOpWbOm9OfQ0FAWLFgAWGYJ6enp0mta\nrVZauC16PD09HbVajaenJ3l5eRiNRhQKRbH21mv5+PhgNBrJy8vD09Oz3D6EyiHqmQjC0yXn3k4u\nCi1/MDvJH+gZE3Bwa3DRHUdHjx6VFoyDgoJITk6msLCQ27dvc+PGDZo1a0bTpk25ceMGt2/fxmAw\nkJycTFBQEDKZDH9/fw4fPgxYKvoFBQUB0KFDB5KSkgA4fPgw/v7+yGSyMvsQBEEQbJNtsswk9Pcy\nBsuUMp59gGdMwIaZyZIlSzh37hzZ2dm89dZbDBs2jLNnz3LlyhVkMhm1a9fmjTfeAKBBgwZ07dqV\nSZMmIZfLGTt2rLTLasyYMcydOxeTyUTv3r2lAWjEiBEsWbKEb775hsaNGxMSEgJASEgIsbGxTJgw\nAZVKRWRkZIV9CIIgCBXLMYFKDnn3MgbXclXgKnd8JxfYuJvraSF2c9mvuscmdnM9WiI2x9gTm9kM\n/86Dukq4ffUP3t99mVahvnzmX6dE20spGfx1cNmPBhQlPtILgiBUI3ozFGKZmWTrLB/GGrk7lWhn\nNpk5/0N6ieNlEYPJE6gq1TMZOXLkQ7/u0KFDOXny5EO/riAIf6ZRUcnh9zzLYOKnKjmY3P1vHgU5\nts/8n9wHCKqxor+gN2/eTMuWLaXUJGW5v92iRYsqNcYniXU3oCAIFcu5t7DhKYff8wsxAy08Sqae\nv3o6C6Wz7fMNMZjck37uFPrszId6TWdPL3xata2w3dNQz6SomJiYEjHKZDKGDh1KYGAgycnJZGZm\nEh0dTefOncnPz2fSpEmcO3eOZs2aUVBQIF3rwIEDLFq0CL1eT8OGDYmJicHDw4POnTszZMgQkpKS\nGD9+PIMHD7YrRkGornJM4Cyz/HctSw/Ocpq6FB8KjAYT13/J5pmWKpuvK25zPWbWeiabNm1Co9Hw\n0UcfSa8NGDCAdu3aERsbS0JCAm5ubowaNYrdu3eTmJhIfn6+VM/k/nZW1nommzZtYt++faSmprJn\nzx4AqZ6JRqOhS5cuxMXFAUj1TDQajZRe3h6lxWhlMBjYtWsXH374IYsXLwYst/Xc3Nw4cOAAkydP\n5tSpU4DlGaKlS5eyceNG9u7dS7t27VizZo10LW9vb/bu3SsGEkGwQ7YJVPc2bv2uLcC5hhOeiuJD\nwc2LuRTqTDRoUzK9SlnEzOQeW2YQlaGq1zOxN8Z+/foB0LZtW65duwbAkSNHpEzGrVq14rnnngPg\n559/5sKFC9JgUVhYSIcOHaR+xCAiCPYxmy0zk/pK0JlM5GYV0rhpjRLtrp3JwsVDQe3Gtu9kFINJ\nFWKtZ7J79258fX2Jjo6utHomx48fZ//+/fTp04fdu3fbnGWgohittUyK9lcWs9lMjx49pFuA93sS\ntnULQlWSbwYTlvWSxFu5YDITUKf4v6PCAiM3L+TQuENN5HY8eyJucz1mwcHB7NixQ0pWaW89k9La\nFRUQEMDhw4fRarUYjUbi4+Pp2rVruTFZ65lMnToVHx+fEs/nlKe8GMvSuXNnKRv0r7/+yi+//AJY\nsiCkpKRw+fJlwHJb7j//+Y/NsQiCUFxOkZ1c/75hKcnd+5ni6yLXf83GZDRTv3XJGUt5xMzkMavq\n9UwOHTpU7NbT6tWry4yxLCNHjmTSpEn07NkTPz8/2ra13HL08fEhJiaGv//97+j1egDeffddmjZt\nWuE1BUEoqei24DN38gDwr+1WrM3V01l4eDvhWseVy1oZNuZ5FE/APwm3Sqr7U+aOEk/AO0bE5pin\nIbaTBZBpAn9nE/2+PU/NXCN7x7SWXs/PMrBnSRq1OtTCuU0dZMCQLuU/lmAlZiaCIAjVhDUn10+5\nOmQ5Bprdm5WYzaDNk3HusCUlvVNDL3xrmKnraftcQwwmQoWSkpKeyHomgiDYzmSGXDPUlsOPWQXI\ncw20ec6dm1kybmTL0BtlZKdl4lHHlY6tnFDI7btpJQYToUKinokgVH25ZjADHjIzR25Z1ksUcg/+\n+4ccTxcztc35XL9bgF94HRQObM0Su7kEQRCqAetOrjMZRrKzCgFoXtsV/7pGWtU1kZ1myQBS39/T\noeuLmYkgCMJTzGyGPwrgSgHgBEdz9MhzCnFSyAhu7IxSbnmm6+qZLGo3csetRsmkj7YQg4kgCMJT\nyGSCu3kybmTJKDDIKKhhxAW4otShyjXQwNsV5b2HEv+4XkCutpDmwT4O91fhYLJy5UqOHz+Ol5cX\n0dHRAOTk5BATE8OdO3eoXbs2UVFRqFQqzGYz69at48SJE7i4uDB+/HiaNGkCWBZxt27dClhSeljv\nwV+6dIkVK1ag1+sJDAxk9OjRyGQyh/oQBEGo7gqNcCtbxq0cGQaTDHcnM019TJyTgbvMzOn8Qjxz\nCmna8M+HEq+eyUKukPGX5xy7xQU2rJn06tWL9957r9ix+Ph42rRpw7Jly2jTpo309PKJEye4efMm\ny5Yt44033uCzzz4DLIPPli1bmDdvHvPmzWPLli3S09qffvopb775JsuWLePmzZukpqY61MfTpCrV\nM2nZsiXh4eH07NlTStxoq6tXr7Jt27ZKik4Qqpf8QriULuPE73J+z5KjcoaWdYy0rmeipruZfDP8\nYTBi0JvIzzfS1OfetmCTmWtnsqjr54Gzq+OlHCocTFq1aoVKVfxx+5SUFHr27AlAz549SUlJAeDY\nsWP06NEDmUxG8+bNyc3NJSMjg9TUVNq2bYtKpUKlUtG2bVtSU1PJyMggPz+f5s2bI5PJ6NGjh3Qt\ne/t4mowcOZKIiAjAUqfk1q1bFZ5zf7tFixbRvHnzSovRqlOnTiQkJPD999/z7bffcvr0aZvOMxgM\nDg0mT+oDlILwOJjNkFkAR9OyOXVDwd08GbVVZto+Y6RFHRNeriCT/bn4fkFXiGuu5d+QdTC5czkP\nXa6RBnamT7mfQ2smmZmZUnbbmjVrkplp2QWg1WqpVauW1M7HxwetVotWq5Wy1oIlb1Npx63tHemj\nomy7FTEdvAt3HE+aWKraLsh71Kqw2dNQz8Td3Z22bdty+fJl/Pz8mD59OqdOnUKhUDB79myCg4PZ\nuHEj33//Pbm5uZhMJnQ6HWlpaYSHhxMREcHYsWOZN28eP/30E3q9nv/5n//htddeIzk5mYULF+Ll\n5UVaWho//vjjg/29CEIVZzJDeq6Mm9ky8gplOCuN+HqZqKsy41TK5MI6mPyUm8+zOhO/AU1ruQKW\nW1xKFzn1/GyvXVKaB16Al8lkUubZyuJoHxqNBo1GA8D8+fOLDUIAt27dQqm0vAUGmRzzQ/4+ZDK5\ndP2y/Prrr8TExLBz54cTOU4AACAASURBVE58fHzIyMjgs88+Qy6XM2TIEL744gtmz55NQEAAAOPG\njWPq1KkA/P3vfycxMbHUdjKZDIVCwd27d5k3bx779u2jZs2aDBs2jH379tGvXz/y8vLo2LEjM2bM\n4KOPPuLrr79m0qRJLFmyhI0bN/LMM8+QmZlZ5vegUCiQyWQolUq0Wi0nTpxg8uTJfPnll8jlcg4c\nOMDFixd5+eWXSU5ORqFQcObMGf7973/j7e3NoUOHWLlypVRHZcOGDXh5ebFv3z50Oh0DBw4kJCQE\nhULB6dOnOXDgAA0bNiwWQ0Xv74NycXEp8XNjC6VS6dB5j4KIzTFPQmx6g4nf7uq4ckeHrtCMylVO\nm2dcaVjHHbPJWOZ5/9XmINcXcK7AQJdCGZluSlo2fAZjoYkbv16kSUAt6j5T54Fic+hfopeXFxkZ\nGXh7e5ORkUGNGpbpkVqtLpYfJj09HbVajVqt5ty5c9JxrVZLq1atUKvVpKenl2jvSB+lCQsLIyws\nTPr6/tw1Op3uz3Kv3dVUxpBY0W2ZgwcPMnDgQLy8vDAYDHh6emIymTCZTBgMBsxmM0ajUbrOwYMH\ni9UK8fPzIzQ0tEQ769c///wzXbp0oWbNmgD87W9/Izk5mT59+uDs7ExISAgGgwF/f39++OEHDAYD\nQUFBTJgwQapnUtb3YDQaOXLkCCEhIcjlcsaPH0+zZs3417/+xejRozEYDDRu3BhfX18uXLiA0Wik\ne/fueHp6YjAYMBqNmM1m6fr//ve/+eWXX9ixYwcA2dnZpKWl4eTkREBAAL6+vsVieRS5uXQ6nUP5\nmJ6GPE6Pg4itdPmFcDNbxt1cGSazDC9XM41qmvByNSKjELPJpdzY7uSD3mTEDOSk59HY25X09HR+\nP5dFoc5Ibb+yz/+LjZkeHXpoMSgoiAMHDgCWsqodO3aUjh88eBCz2cyFCxdwd3fH29ubgIAATp48\nSU5ODjk5/5+9N4+Toyr3/9+n1l6nZ18y2RdIQgJJSED2CCEEr16CAbzyxQ2jqGAAd+5F5aeIqGD8\ncoELX3G5uYp6AUVEQDZZYkQWISEBAtkns890z0xvtZ/fH9Uz2ZPJgiTY79erXlXdU3XOqa6a8znb\n8zw5Vq5cyYwZM6iqqiIajfLmm28ipeSZZ55h9uzZB5THPwODsULuvPNOnnjiCS6++OK3LZ7JV77y\nFdra2pg/f/7Q0OPuOOGEE3j00Ud55JFHdohdvyf25TTx+uuv57HHHuOxxx7jueeeG5o3OxwccpYp\n849EShiwYG23wqp2he6coCYmmd7oM7k+oDIazocMh6yEDtejWRO0pi3G10SQUvLWijTRCo26sQf/\n/7VPMfnRj37EtddeS1tbG5/5zGeGhlVWrVrFkiVLePXVV1m4cCEAM2fOpL6+niVLlnDnnXeyePFi\nABKJBIsWLeKaa67hmmuu4YILLhia1F+8eDF33nknS5YsoaGhgZkzZwLsdx5HKu+2eCYQCszgxPr6\n9etpbW3drdv4RCJBPp8f+nzGGWewbNkyXNcdurZQKOxX3mXKHOkEEnrygtUdCq93qeRsGFEhmdEc\nML5GEjP2Lz1HhttrlssMoVJwAybURmlfmyPTZjH59FrEnoJgyWDY+exzmOuqq67a7fff+MY3dvlO\nCLHHyv3MM8/kzDPP3OX7CRMmDNmvbE8ymdzvPI5EjvR4JrvjYx/7GNdccw1nnXUWqqqydOlSTNPc\n5bwpU6agKArz5s3joosuYvHixbS0tLBgwQKklFRXV/PTn/50v/IuU+ZIxfOhMxfah7i+IKJJxlUH\n1MYkykE4vhqcfN/qeLzXCj+MrzZ57YFuEjUGo2fsFOc98DA6/k5k42NENz0GXx6eiUE5nslhMHzy\nzx4z5EApxzM5MMplOzDerrLtPB9SEZE0Jbct6z3Ysm124Q0Hvt/Ww79lXH72XAc/OWUsb/yxkxMu\nGEHz1ArwHczWvxLZ+BiRzU+iWhmkamKNOpXox387rDKU3amUKVOmzD8YKWHAho4BhT5L4HkuTSmV\nxmSw38NY+yIXgB0EjDdVtqZzNCR0tizvpbJRZ7z5HNEnHyOy+SkUN0egJ7DGzMUaezb2qFOReozo\nvrMAymJSZhiU45mUKXNo2Nk+RFMkarENw+pm/Php+07gAMj4kjbX46S4wZM9eUYERQr9GmdqN1Dz\nxAv4kSqK48/BGnc2dvNJoB6YmpXFpMw+KcczKVPm4HB96MoJOrMCNxBE9dJ8SFyiiAag4W3JV0rI\nBZIO1+MTq37Az9Pv50QbRkTWUn3cUfSMvwKncRYoBy8FZTEpU6ZMmbcJy4P2AUF3XiBL9iFNSZ+K\n7eZDVq9eDcC0aYeuZ6LkO4lsfJyg7UXEKUvJFbMkOjbgoVLp6Uy6ZB7ZUeftMx3hW8POsywmZcqU\nKXOIKTjQNiDoLQgEUBuXNFUERHcTKuS6664D4N577z2oPNWBlnAF1sZHMbpWArD+6P8DQIMueO64\nH8JTLUwZlaB6VHyf6ZnZTSS3Pg6jdl1VuzvKYlKmTJkyh4isDW0DCn1FgSIkjUlJU1Ji7KWmHRST\nA0HLrCey8VG0lidp6Ax7OE7tMQzMuYriuPm8aIyh6AdMSST5+1NbUSSccVbjXtP0Cln6/nYfLWvW\nsKElx+fPGmZZDvguypQpU6bMkOfetgGFrB1Oqu/N6eLO7NfwlpRova8T3fgokY2PofdtACAYOYf+\n93wVa9zZ+MlmADwJ2bxkTdHiUkPhN50FGqIqNU2RXZK1c1m2rllJ28t/pX3dOnxfEomajJxx4rCL\nVhaTw5Bly5YRjUa58MIL+c1vfsMZZ5xBY+PeWxM7n/elL32JT3/602+rG/oVK1Zw6aWXMmrUKGzb\nZt68ebs1NC1T5t3IYDjc1n6FvCPQVcnoyoD6hETdDyPDwRhOg05ad80oQO9aRXTjY0Q2PoaWbUEK\nBadpDn3HXIw19myqx0wlv5OdyRt2gCoUKpWAjuX9dCuSWc3bPAPn0j20vrqSratfpnv9W0gpSSZ0\npk9romHOAiqnnICyH9aSZTE5DNnex9U999zD5MmT9ykmO5930003va1lHOSEE05g2bJlFItFzjnn\nHM4999whP2plyrwbkRIyxVBECq7AVLdfmbX/6V1//fXATnMmgY/RWbJC3/gYar4DqejYze8hN/PT\nWGPOJIju3sHtIG84AXYQsCBQefHlDAMpyeiYy6sPP8DW1a/Q17YVgMr6euYcP5KjRpnEJp1IruFk\npLL/ceDLYlIi1ppHLR5aa2o/qlFo3vdE17shnkk0GuWYY46hvb2dIAg47bTTeOCBB6ipqdnh80sv\nvcQtt9yC4zhUVVVx6623UldXx80330xraytbtmyhtbWVxYsX88lPfvLgHkCZMocQKSW9eUHrgKDo\nCkxNMr46oOYARWSQQTEhcDHbng+t0Dc9jlrsDa3QR56KNecqrDHvRZrDC2C11fVJqhp9rkXLH16g\nw9sITCf95H2ssbZQO24iM9+/kKNHSEbIjfh6gr4R88jGRx7wfZTF5B1m7dq1LF26lN///vdUV1eT\nyWSG/FG9//3v5+c///mQKAB8/OMf5+qrrwbg85//PI899thuzxuko6OD73znOzzyyCOkUik+/OEP\n88gjj7BgwQIKhQKzZs3ia1/7Gtdffz2//OUvueqqq/jRj37EL3/5S5qamnZwxLg3+vr62LhxI+95\nz3tQFIVFixbx29/+lk996lM8++yzTJ06lZqaGk444QT+8Ic/IITg7rvv5vbbb+eb3/wmAOvWreOe\ne+4hn89z2mmn8dGPfhRd3/8WUpkyh5JAQrogWN05QN5WiGhhTPWamBy2u5M94jscF+sguuExIn97\nAsXuJ9Bi2KNPpzhuPvbo05H6vhuk22PnczycthhdXYv4xW20b1pLV8V0AM48573MmDWNKr+Vis4V\nKH6BQtU0BupPQe7GWFHK8tLg/WY4PYi3g7/85S984AMfGIrJsi93+itWrNghnsnRRx/N/Pnz93j+\nypUrOemkk4YiWn7wgx/kueeeY8GCBRiGwdlnnw3A9OnTefbZZ4HQzf/VV189FM9kbzz//PPMmzeP\njRs3snjxYurrwwA7H/rQh7j00kv51Kc+xa9//WsuuugiANrb2/nsZz9LV1cXjuMwevToobTOOuss\nTNMcCkjV3d097FgKZcocavwgNDTsyAocX5CMCCbWBFQfrIh4FpGty4lseJTI5j+juDksTKyJ87HG\nz8caeSpou06S741MeyuvL3+a1jUr2dLWRvwrP6CjL0Nlj4FRfz4Vx08mtn6Ak0+YSFXHo5jFdpxo\nA+nGD+BGdw2KFQQFPO8NPG89cOWwylAWkyOIwXgmDz30EM3Nzdx8881vWzyTv//97zzxxBPMnz+f\nhx56aI8ByAbnTLZs2TIkPtOmTaO5uZm6ujqWL1/OK6+8wq233grA17/+dT796U8zf/58VqxYwQ9/\n+MOhtLb3LKyqKr6/58hxZcq8XTgedOQEXVmBLwVJUzK22mfiyModgvntD8LNY7Y8S3TDnzC3PIPi\nFQjMFMXx8/nYjb/l6Rablau/P+z0fM+je+M62tasou21VWS7uwCoHDGS9Ic+w3Rdo7gpQETnc9rH\nx/DwXzYzKenQsPF/CVSTTNNZFCun7OJJ0nezeLk1+PpmQKKsr4GJwytTWUzeYU455RQWL17M4sWL\nh4a5tmdf8Uz+5V/+ZZfztmfGjBl8/etfJ51Ok0qluP/++7n00kv3WqbBeCazZs3iqaeeoq2tbY9i\nMsjo0aO5/PLLuf3224fmfz784Q+zZMkSFi1aNBTRcmBgYGiRwD333LOvn6dMmX8YBWeb914JVMdC\n772JUhtnv0OHexaRLc8QXf8QkS1PIXwbP1pDcdIHKI6bjzNiDig6C/2zWDiM5KzsAG2vr6bttVW0\nv/Eanm2hqBr1k45m1rnnkRozniBVxcpeGy+QyGd6mfm+BhrN9WzqLrCgvod81XSy9Sci1bDnIwMJ\nXTZBZzdu7C2Cpi7QBOraWtSto1Gqhx94sCwm7zDvpngmH/nIR7jzzjtpaWlh1KhRzJ8/ny984Qt8\n6EMfGjrni1/8IpdddhmpVIpTTjmFlpaW4f5UZcoccgZtRDqyCv1WaGhYnwiNDSMHMl3nO5itK4iu\ne4jI5idQ3AJ+tIbC0Ysojj8Hp/F4UHY0PtldnCcAGQRkWltoe/1V2l57ld4tm0BKohUpxsycw4ip\n02k4ajK6GRlyQf+T3jxTolGK67NMngqzkw+R3pylzz2B5jGT6W8YC102tGaQWy0CqwfvmDaCiRnw\nFdSu0WjBROwGn1y0m2LvZkZy7LBuvRzPpBzPZK8cTNlWrlzJddddNxR18VBTjmdyYJTLFs6H9JS8\n91qeQFck9Um5V0PDPZYt8DHaXyC6/iGiGx8NJ9HNFMVxZ1Oc8D6cpjl7daR41113AWHUWaeQp2Pt\n66GAvL4aO5cFIagZNYYRxxzLiCnTqRo5epdeUm1tLS1d3XyhNcvC6gqij77JhZMeJTBSPNx7PEte\nsLmloYpZ6QDpBQRjM3jHdSFrsxBo4IzE7ktgdaWx+tIgJUJRMKtqOX7hhcP6TQ+qZ3L55ZcTiURQ\nFAVVVbnxxhvJ5XIsXbqU7u5u6urquPrqq0kkEkgp+dnPfsbLL7+MaZp87nOfY/z48UDo4vy3vw0D\nsHzwgx8c8lC7YcMGbrvtNhzHYebMmXziE59ACLHHPMocPtx6660sW7ZsaK6kTJnDAduDzqygKy/w\nA0FMl4wvrczar+W9JUv02LoHia77I2qhi0CPYY05i+LE92E3nzwsV+5SSn7x/+5gYl0VY4sZejat\nRwYBRixG49HHMGLKNJomH0Mkue8lwfe1dzIlWoWfdzlTbaXr9fn4PRpvuOGKrPGBi/fefrwRW0Gz\nkL6J3VlFbqODb7cDYFSkSI2dSLS2HrOqBkUdhgl/iYMe5vrmN79JRcW2G73//vuZPn06Cxcu5P77\n7+f+++/nkksu4eWXX6ajo4NbbrmFt956i7vuuosbbriBXC7Hvffey4033gjA1772NWbPnk0ikeDH\nP/4xl112GZMmTeK73/0ur7zyCjNnztxjHmXeHg4knskVV1zBFVdc8XYXrUyZfSIl5OxwUj1dCBWj\nKgpNSZ+EOfxohgDqwFai6x4kuu5B9L71SEXHGnUaxYnvxx4zF6ntO5SUnc/RsfY12t9YQ/sba7js\nlFkAeI7N1LMW0DRlOjWjxw6rIpdOgNrSTd9jL3Jf0yguG2swfmUfzqbRUGvAlAjr0zY1vRLzX1/G\nEwFOv0qhRcPulWhRiNY1E62pJ1pTh7qb8NrD5ZDPmbzwwgtDjsvOOOMMrrvuOi655BJefPFFTj/9\ndIQQHHXUUeTzeTKZDGvWrOHYY48d6lkce+yxvPLKKxxzzDEUi8UhdyCnn346L7zwAjNnztxjHmXe\nHsrxTMociQwOZXXlwkBUqgidLjYkJeZ+1HxKsTd0prjpERq2Pg+A3Xg8fadeR3H8OchI5V6vD4KA\n9JZNtL+xmvY31gzNfRixOI1HT6Vp8jE0HT2VaGrv6QDIggdtFrLNQmzNInt9PCm4b2Qdo6fGEELQ\n1GzgTanB8dYhlVbW/6meMVU+VgdY3XH0SCPJpjrqptWhxw6dScRBi8lgi/Xss89m3rx59Pf3D9lK\nVFZW0t/fD0A6naa2tnboupqaGtLpNOl0esgGAsKVSrv7fvB8YI957Mzjjz/O448/DsCNN964Q/4A\nnZ2daNrhsQbhcCnH7vhnLtugzcv+omnaAV33j+DdXrZs0Wdzj01rr40XQEVUZXqTyYgqA00dZjek\nkEZZ+0eU13+P2PwsQgbIusl4c/+D4JhFiNQoYsCeZtMK/X1sefUVNq96mS2vvoyVyyGEQsOEiZyw\n8CLGHDuT+vETUBSVz3zmM8BD3HHHHTukIaXET9u4W7K4m8Mt6C0ZESoBekUGc1yWzlgjd1RWsTga\nIeHkcOXjCNVCiYBTEGzOmJx/VJTRk88gckLlsFelST+A3uEZLcNBism3v/1tqqur6e/v5/rrr9/F\nwEwIsf/L6faTveUxb9485s2bN/R558kz27aHlqy+k7xbJ+Dfbv4RZbNt+4AmhMuT3AfGgZYtKPnL\n6soqDNgCgaQ6FvZCEoaPwKEvs/c0hD1AZNPjRDc8grn1rwjp4VWMpjjjUxTHn0vlUSfT09sLLrBT\nGYd6H6+vpu2N1aRbNoOUmIkkI6ZMp2nyMTQePRUzvm1uN50OC7Rs2TIAvv3/fRu67bDn0W5BuwWF\nkq2VqaDWeSQmbyUS34qdkPTqY9mYifInr59IZRPVpk4DKzHrLKRTjaJMJCMacYO1TBpZT971ye/D\nTkZ4AfqAg9HvoGUtXJnBHPneYT2DgxKTQduDVCrFnDlzWLduHalUikwmQ1VVFZlMZmg+pbq6eoeX\npLe3l+rqaqqrq3nttdeGvk+n00ydOpXq6uodDIQGzx/Mb3d5lClT5p8HKaHghkNZPXmBFwgMVTIy\nFXruHY77d2EPENn8ZGhMuPUviMDFSzaTO/bjWBMW4NZM3TapslOjtdjfR/va18L5j7VrcPJ5EILa\nMeOYvuAD4cqr5lGIPXjelUUfOiyevOE+KotR5J0bQ7/xABUajI4iGlQi0RaU4qvkCz6tbpKBfAXB\ngI9R3YVeL3lQzObMhIKQPiOMCqL6+YiScczLq7oBmFi761xOENi4bid+sZ0g24pfaMP1OrFFd7gZ\nvYDPWawf1vM4YDGxLAspJdFoFMuyWLVqFRdccAGzZ8/m6aefZuHChTz99NNDHmRnz57NI488wimn\nnMJbb71FLBajqqqKGTNm8Ktf/WrI4G7lypVcfPHFJBIJotEob775JpMmTeKZZ55hwYIFQ2ntLo8y\nZcq8+3H9bQJScMNeSFUUahM+lZF9T6gLq68kII9gtj4XCkiiifwx/4fihHNx66bvNhHfdel46w06\nShPng153I8mKsPcxZRpNO/U+BpFSQtqFdgvZUep1ZFwAxivVUGvCiAiiKUJQI/Bzm3C7XsXqzZFz\nDAKZBCTR+giVkxSUaBbV8Lm552i2FuNMj6eoVyFmHDWUX9HJsOyFVibXedSqD9LZ2YHrduF6nbhO\nB37Qt1MpFQy1GoNqkvYI6osTiNnDXyV7wGLS398/5Obc931OPfVUZsyYwYQJE1i6dClPPvnk0LJd\ngJkzZ/L3v/+dJUuWYBgGn/vc5wBIJBIsWrSIa665BoALLrhgaDJ+8eLF3H777TiOw4wZM5g5cyYA\nCxcu3G0e7xaOtHgmo0ePplgsUldXx2c/+9khf197K+uqVat2WSFWpsyeCALIWNCTU+izAARxQzK2\nKlzWq+2jF6JYGSKbHiey4dFQQKSHl2wmP+0jFMefs1sBkVKS7e6k443XaF/7Gt3r38S1LRRVpXbc\nBI77l/NpnHwMVSNG7tL7kJ6ELmtospx2C+wg/GNEgaYIYkoS2WjypW9/kaa6Sj4+5YM4Wztx1oUi\nI5BEYzFSY6vRGwTCTAMDBL5C17oED4mR/C7ayOJUHkk9key9bOn6SygWbidPbD6RrvyFXDL5Trq6\n1yIwMYNaIrKeFCdgBrVohQjGgCQ2EJBUUmhauJzZzWYptrVTaO+ADw/vGZWNFg9zo8ULLrhgt96A\nD/S8Q1m2FStWcMcddwyN+a5evZpPfvKT3HTTTZx22ml7TPNQiUnZaPHAOFLKFgRh8KnegqCvKAhk\nGICqNi6pi8vdxlPfHiXfRWRTGA/EaH8BIQO85CiK48/BGr8At3bqLgJi5/N0vvV6aejqNQqZcNFP\noraOcccdT+XY8TRMnIwe2dERo3SCsNfRZkFrETpt8EtVa5Ue9jpGRAhqFGyZxe7PYPVlsPvTyNI7\nrCkBSdMmGlehKYVfqSBFP0L4SClx3RyZrg3krdd43RjJ97iW43iZj9XEsM3jGL35EvSigZrV8TMG\nn2//DM2axZ3j+kg2zEJXKpDFPDLThu7l0YWFkD4yCLByOWzLxkJgGwZBRQqlMgWVlYw599xhPbvD\nd5nOP5hMJoPjOIc0TcMw9ukFGN4d8UwgDD969dVX8/Of/5zTTjuNRx99dLexSwbJ5XLMmzePZ599\nFl3XyWaznH322UOfy/zz4QeSdGFHAdGUUECqYwEV+7ALUbOtRDY+GgpI58sAuJXjyc34FMVx8/Fq\ndnRu6DkOPZvW0/nWG3S++Tq9pYlzPRKl4ajJHDPvXBqPmkqitm4HoZN5b5t4tFnhxLkEBFBnwvQK\naDJxUy52sQ+7bwtWVxp3Uw4UG6lm0eMFIlW9qHovgZpFJqtworUokSY0TSJlgGW3UihsoJjdQnEg\niluoJjswmlvGX82ofCtfefheNl99Bw1/fICR91cRnTKT2LTj+bXRTEbm+NGUsdREXdSBDGpxA8LN\n4+s6Tm0lhboxuNU1uKkUqGq4esz3sS2LgpPHcRwCJ2DMMJ9dWUzeYd4t8UwGmTZtGv/1X/8FsNfY\nJRAOcZ500kk88cQTLFiwgN///vece+65ZSH5J8MLoK8oyBShf2sffqAOX0ACH737VSItz2JueQqj\nJ1zM49ZMYWD2EqxxZ+NVbXN763suvZs30vnWWjrXvUHvpo0EvodQFGpGj2Xa/PfTNHkq1aO2GQ1K\nKZEZh+KWLoK1PaF49IdDUWgCGkyYXYWsV7HMAQr5DVi5TdidrcjufqQ2gDRyiNo8gehDKmGj1RUG\nMjKKaGQMsegcVC2K9D3clhYKr72I/9Jm1K02RfU4Xh9zA4a0mSif5Vvn/Ss6Oj/s7aP987eiKSon\nHDeX+NRw1VXeLnDXiz2cHPc51V6DayaxGqpwKqfhVlURmCaudMh6AxScHO5AmsCRKI6GKsN7DvAp\n6jkKseywn2NZTEoMpwfxdnCkxzPZG3uLXTLIxRdfzO23386CBQv4zW9+ww9+8IMDzq/MkYPjQaYo\nyBQFAxZIwh5Ic7VBTCnuVUCUYi9my3LMlmcxt/4F1e5DInAbjqP/xC9hjTsbvyJ813zXpXf9W3Rv\neJPOdW/Ss3EdvuuCEFQ3j+ao08+kYdLR1I2bNDR0Jd0AOmxk+3ZLdK2AASRB3MIdlcU7bgA71oEl\nWnGcdrygm6DYB04+7J3ESxugFFTUbonaKzGCGsyaMRgjR6OObkCoKn7OpvfZTdRbNSi5GNHKqSgN\np5E7r4bXXjfoanGpGhHhhIX1fKlvHJ1ewC8ciX38aWQjBnNb+0j29yKcAXxD8j+ZCGkPLl7QwKtj\nmiiQp+jlcZ0WZL4Frc8g4sbQg3DFl4KOqxWxIgUwAjRDI6JHqVPqiIlxw36mZTE5gjgc45nszOrV\nq5k0aRKw99glg8yZM4eWlhZWrFhBEARMnjz5gO+nzOGLlFB0wx5IuijIO+F7Z2qhh96qWEDCgLq6\nOD09xR0v9h2MrpWYrX/FbFmO3r0agcSPVGOPPh171OlYI09GRqrwbJvuTevpXv57uja8Se/mjQSl\n9zrV1MyE95xGw6TJ1E+YhBGLh6usBjzYYuN1tOL1tuEWOvDMXtxIGi/VhzeyD9fsxRNdBGK7yIMB\nEKgIL4GSNzB6Y2jtOvrWAlp3gGaZROIp9ONGIac348+oQ8bDKlf4cVStGdUYxbjJs/D9gNbWVgDs\nvMeaJzvpXptnRJ3CyXOjVCc0ru3M85wmucmBypjK35Mmk9Nt+JF2XptlslWxSdtF7vylytHNLn5q\nM109caJugngQNiYlkkDzESYoBkSNKAkjianuXzCu3VEWk3eYd0s8E4DXXnuNH/3oR0O9i+HGLrng\nggu44ooruPLK4UV0K3Nk4AUwYIUC0m+F0QoB4kZoC1IVk0S13fRAAh+993XM1r9itP0No/0lFN9C\nCgW3/liys6/AHnU6Ts0UCn199GzeQO/Dj9KzeQPpls3IIEAIQdXI0Uw69b3Uj59EzdiRKEYBN9uB\nl9lI/xvP4dpdESG6fAAAIABJREFUeEE3nt6LF8ng1+dgp6CDwo2Al0AUUwhvCpqTQO2VaFstzE4P\nM6+hJVPoNUkilQqROhvlOA23MUUhlcDRBa4A0FDVRlS1CUVpQlFKizqk5NolVzIyEiG++i16WsHx\nY5xQp5MYXfIAEnj8VHX4pSa5SOnFHJ3mJf0kpGjhzeqXaHHjRLMJ4m4VT62uoWhbfGxSPQ15FaEp\nGBGDqBHFMAwMw0DZg93LwVIWk3eYIz2eyfPPP8/8+fMpFovU1tbyrW99a2gl13Bjl3zwgx/kBz/4\nAQsXDidEUJnDFSkh70C/JeizBDkbIPSJVRGB5mhAKrIbv1iBj5Zei9nxElrPKzRuWo7iDADgVk2k\nMPkCnOYTyVUfS29Xht5NG+h5+Wl6N/8cK9uPavqYKagaXcUxs0YQrzMwkwG+24vnPEDe7yHbulND\nKwaKFkcrxFGyBnpnDSqjwKxH6nUIL4nwEmg5B93xMFSdyoZG/EQF6vGNaPNiRLwujNxmhNOGo/sU\nogbpiIks1dWKUoOmNKKqDShKLarjovUNoA+0ow3kUAsOiq9zzakL8Y0KFF+luRGKtkdBS9Oa6GVz\nKs1yVeN/umYxPdLP2UmHtHYipu8xpl+iyVmlvBSsQOHhdV2cPDrOSUc3o+v62yYcu6O8NPgwXxr8\nTvOPKNuDDz7In/70J/7zP/9zv64rLw0+MA5V2QYt0AcsQdYWDNjgB9t6H6mIpDIiiZvs6N7ddzC6\nX8Vofwmj40WMjpdR3LCyl5VjKDTOYaBmFh0yRbqvnWzvBoq5Fly3Fz3mocddIimBkQxQDQvETu+A\nFKhOEt2qQbMrUa0q1H4NZSCAgsD3NZxonKChAbl9qGgEZiSGWVOL2dQcumAv+X4TgUutlsVqWwVu\nK65iYUV0iqaOLN2cII6qNaHKWsycCdksSjaDns1hWgJNxAmMJNJMIvVY6TeU9OVdOnt8Op0Chem9\nREdqRP04mhvhj3mT/7E0moXkO6ZDV2UDjqoz2eojqSnouo5hGDQ2NnLDg6/y3y90suziybu1eD9Q\ndnaTtSfKPZMy7yjXXnstf/7zn4dsVcocvgyKR9YSDOwkHqYmqY5KKiKhiGzvykQp9qJ3rsToWonW\n+SKyfw2u6mMbCulUPf2TjyKrm9jCxSdHIFag8lQYT6oWkrWQHEzM19GcJFoxgdaVRCtWobuN6F4D\nmlWJalWiZBw8J40btXEqwaoS2HENEqVKXwj0ZIpoRQqzohKjIoWRqEDZbhWh8C30wha0YgvS68AT\nBToiGnZSA6ECcYSMIr0EIqug9/tEMy7xbBtRr4fATBIYSXyzDhkbB3EVD3CES0badPRk6e4OsJQA\nxxzAMweYfPxEUkEE0tAdwC2uwauBwkmG4CtVJn1GLZbUmGlCfWLHYedMweWeV7o5a1LlIRWS/aEs\nJmX2yYHEMxku119//UGnUebtwQvCOCA5W5B1wmGrQO4qHnG9gEoGz0/jO10UW9+gkH0L32rBd7rx\nFBtHF9hRFX+SYDtpACyk3IJXVPEKGoFtolgplIKJmYsRyyYx85XociS6NgHNHIkQ4dCNDBx8sngR\nGzfmkU96FOu6CEaXnCNioEVjGMkK4okKjGQFRkUKPZbYxWJdcfPoAxvA3oz0e3FUh4GITpAo5SWj\n4GiItEIkI6nsVkgUQCoWgZHANytwoklkfRJbhFbkvgjIRSTFmKDgB6T7HWzHxUgK9EkKtZPCtF03\nRSYTEI1G0TSNJxzB0j4bKeEbjQnOq4iw1RN0ODBeh/rd1Np3Ld+E5QV88sSmQ/b895eymJTZJ+V4\nJu9+AgmWCzlHkLV88nYW280gZB9CpjGVDCklgy4yKKSRTgavmKbH7aWb3Rj7qoAu8H0dpxDF7lFx\nS4LhFjREXsXog2TGoNKqpk6tIRapRY83oqRGoES3hZ+Q8YBAd/AjLvlYP3bEwhL9eJoTLsMFVDOC\nnkiSSDZgJCrQkxUYiSSKtqvNkghcZH4jtrMZT2bwFQtUUFUFEReAQNomRkYhlVGIZ1TMnACh40QT\n2PEKgpoK8nVxVKkTILEVSTECBRNs1cOSPq7vheULCPdRia4oGLpBRUUMw9TRdR1VVRFCkPECvt2Z\n5cmcxcyozrcaK2g2VPp8eN2BWhUm7sYEqzfv8ovnWzj7qCrGVh/8qqwDpSwmZcr8EyCli+el8bwM\nPT0enT2bsZwMtpvB9TIEfgYh0wiZQdCPTsDO9ZaPQBBFdQQi6yEGPGROxconyBdM8sUIRUvHK2h4\nlgY+xGyXSk+jWiSpUCtJxhuIVoxAi9cjaisRddtykYpExiWO6eDoGWyRxdGLeLodVsZCoMcT6PEk\n8cRY9HgSI5FEjyd2EI1ABlgUyMg0ltOP53USyD6UoEgk8IkooKsCzDBZw1GJZBTMrEKkX8EcUHDN\nJG48hTRTuHVx/FodT4KtBFiqxNIllhbgiCIewQ6/k5uTFNIBVn+Ak5NEogaV9TGap6SIJHZVg+bm\nZowTT2Xi929jIAi4si7OJVUxBILNLqxzICLg2D3Y3ix7sRPXl+9orwTKYlKmzBFLENh4Xhrfz+B5\nmXA/eOz14nkZXC+N56eRwe4tmSVRhFKFISrRZA2G34w64OH3DOB2Z7F7HQp9PoW8Ss6JUFANnJ28\nKkYcj2qRoMmsJhVvIFnRQLShDl2vRAQRhK9sl58kMANc08XRcrhqAVe3cQ0bX3NRNBU1GkePx9Fi\ntURjCfRYHC0WRzUj+EooFJYskpcFLNqwZRHLyeEFAxh+kYQTUCEFUQGVOgiFUDVU0G0FIyswswpa\nUUXISoRRC2YFgWpiVavkKgNsReIoAbYqsdVQNNihIhdIV+DkIN8bMNDuUcj42AOSysYodeMSjJsS\np3pkFGUPAbkCKXmh4JK67iYip59FtaZwW2MlR0U0en14w4achBoVphqg75SMlJIH1vRy/6s9nD+j\niZGVBx5y91BQFpMyZQ4TpPTw/f6SMPRt2/sZfC+D5/dt932aICjuPiERQ1JF4FUg3FqwRqEUNLS8\ngpYNUPpc3O48bm8RK2dR9D2KWg5Lt7B0DXdILEIzbkUGVCoxaiqrmBBrJFkxglikjohWgSqjiCKI\n7RrnEolvejiag6ulcXUHT3fwdBvPcFFjEbRoDC0WR4vWo0cjyKhGEFGI1MXpHuimQBFbWtgyg4WF\nLYvYvoVme9RaCilPkAgEFQJ0VSIMkBphhW8KFAfMnIJeUFBdA5UqhKgn0JLYqkYhBm4kwBUBthLg\nqBJXODsIhkCAVJCuiltQcAYUerYUyLQ4+CVbYT2ikGqIUNmYZOLsGHVjYuiRvbsw7vUC/tBf5Lf9\nFltdn9R7TmXKhjXccc5cfASvWNDpQ1TADBPq1V17JB1Zhxuf2MLzW7LMak7wxXmTkNbAfrxth56y\nmByGHAku6IvFIrNnz+a5554jmdw2oXrppZdy3nnncd555x2yvE488UQefvjhPRpO/vjHP+aSSy4h\nGt37KpZ/hFv+7ZEyIAhyeF5fqdfQh+/tLA7behW+P0DoLXBnFFSSCD+OcKMIO4WWr4WcCv0gMj5k\nHGTaxeuz8Ys2Dg62nsHSsti6iq1r2Jq6nVAAqgKpGDEE1VqU+kiKilg18WQTkVgTul6L5pqIokT4\nO5bId308aePofXgpB08LBcM3fWRSRYmbENGREQ0/EsWNRHAiEtt0sYWNQw5H9mBjExAmrvkQ3ypI\n2QoVHlT7gpgQaEIidAhMiW+qMDQtINEs0C0FNaeh+lGkUosnanGJYktBXg1w1QBXCXAUSSA8YNtS\nYuGHPQw3L7BykmImINvlke3yhgRjkGSNSaLOYNJ7Kkg1mlQ2RIimtGFFkw2k5PmCy2/7ijyVs/GA\n46M6n62Nc2bCRJs2ik0ubCi5/Jqgwzgddu7USCn5w5pebnm2FQl8ce5Izp9eS03CoMfaOdd/LGUx\nOQz56Ec/OnR8zz33MHny5H2Kyc7nDcaaebuIRqPMnTuXhx9+mIsuuggILd6ff/55brvttrc17525\n6667WLRo0T7F5GB/k6Geg9+P75V6CX4//pBI9A0dr1vXj+tlYKfx9EEUz0RxTVTLQCnoaLkEZOPQ\nJwn6fWTGI+j38PICz1WxFBVP9XHVIo5q42gqjq5h6xqOIsKmq6JDtQ6E8YB0oVClmVTrJhVGlIQR\nIxqpImI2oGi1KCRR3OgOw1AQFtkvuniuS1Ev4CVdfN3B0128WIBbIfFj4EUFnilxIgG26VOMONia\ng7eT3YcIIOoI4pZCdb/KCFcQ98GUEk1REKpCoEt8EzxTIodGayRIiW8JsFToN5FegkAm8WWSQMaQ\nQiFQJZ4i8TSJHKp8w0UBApA2uHmJNRCQTfvk+wOcrMTOSWRJJHVTwUxqxCp0UrUmTeN1oimNaIVO\nNKUTrdBobKrfL/ucAT/g5aLLiwWHp3I2rW5ApSr4cFWUhako40yNYgCf+NJXed+nP0fdqDE0qHC0\nAdHd2Bp2lnojfyv1Rq6ZN5rm1Ds7tLU9ZTE5DDhSXdCfd955LFu2bEhMHn74YebOnUs0GiWTyfDF\nL36RLVu2EIlE+P73v8/UqVPp7e3l8ssvp7Ozk+OPP55nnnmGRx55hOrqau677z5++tOf4jgOM2fO\n5Lvf/S6quq0lXSgUuOyyy2hvbycIAr7whS/Q2dlJZ2cnF154IVVVVdx77708/fTT3HTTTTiOw5gx\nY1i6dCnxeJxFixbx9f/4D4479liOmjKFSz/+UZ548s9ETJMf37GU2ppKIEDiD+2z6bW0vvmf+JqF\n1Nw9PkNRVCAvEDmQOYEsKMiCgV9QCYoqXlHFL6q4loZja3iouIqCp2m4moKvCPydW7gJBnUhzAOI\naBpJ3aTaMEmqGnEtQlSNY6pxdLUCRa1GKFUImUAExi7llEh8XHzp4WounpnG11xcw8WJedhRh3zM\nwTYDXBVcVeApAlcRuAjwVfAEwlOI9GlEbIWIpxGXkiphYigBmhagGQGKGaBGApSIjxr10aI+Snxb\nF8cFnADcoo5nGQT9JtI3kUEUgQkiilRMAk3gKYACbHdLQkoUzwcHAgvcosQugFWQWJZASIFmaGim\ngm4q6BGVxvEqRrS0xVTMmIoeVVGUffcu9sX24vFSwWWt7SEBQ8DMqM7ltQlOj5vkpaDHh+UFyEv4\n2Le/x9a1rzM7Es6P7PLMpOTB19Lc8uxW/AC+eMZIzj+2FmUYPaJ/JEe0mLzyyiv87Gc/IwgCzjrr\nrINyx9HReQu29dYhLB2YkUk0NizZ6zlHsgv6uXPn8uUvf5l0Ok11dTUPPPAAH//4xwG4+eabmTZt\nGj/96U9Zvnw5V155JY8++ig333wzp5x8Mld87nP8+c9/5le/+hXStnlz9Woe+N3v+N3dd6NpGv/+\nzW9y3913c8F550EQEPT38+Rjj9FQWcl/L10KUpLNDRA/YRb/77/+i7tvX0p1VQUda//O0ptuZNlt\n3yMai3Dnz37F7f/3Bq64/KMEfhHHacFyYxQKBaYf18xVX7id733vTn75v7/g8ssvCW9MAoFASnAs\nl76NAb4Vw7U1PFvDtVSc0t6zNDxLZbsm8R4QKKqGmlRRq3QiRoSoFsXUTEzVxFAMdMVAV0x0TDQR\nRRMxdBFFw0SXBmqgD7kI35lA8fFVD1f18DUXXx3A11w8xccWAbYIKEoo+gLX03BtDbeg4zomXjFB\nEKgIJUAzA/SIhx7x0aMeUdMfOtYj4bER8zCSDkasgB71ULXdO9HwHQ3p6iWBMPByBlIaBNIkwMSR\nOj4GQxMVemkD1ADUQKBKBd0XRHwFIRQURUMYGsLU0UwN3VRRNYE4BGIwXFwpaXF8NjoemxyfTY7P\nW7bHW9uJx7FRnctq4syM6owydApS0OvDcit8vRSgWoWRKrz5txWMKuapUacM5ZG1PVa353m1Pc8L\nW7Ks6SwwsznBvx9mvZHtOWLFJAgCfvKTn3DttddSU1PDNddcw+zZsxk5cuQ7XbT94lC6oJdSIoNg\n27Hv88pLL3HSiSdSnUiA53H+Bz7Ac8uXc87pp2PoOmeddBJBNsu0iRN5dsUKgr4+Zk+fztVXXMH7\n58/nfWefTSSZDL2rSgky2O5YctYpp/DAL37BOXPn8urKlZw0fhzWpk38bflybr3+eoobNnD8iCbS\n3d10vbqKv/3lL9z23esptG7ixKPHkapIUki38uTjT7Dq1VWcuzB0eW/bDqlKg6J/IhIfS+lm3NQa\nvnXzX/j2rTfw3jPfw5w5x+LiIpUAL1HESxq89MJK1m3cxIWXXgESHNdj5oypBKVWnOcquAUNXdc5\ndc7p2AMKR4+byoq/vUgxHQlFQSogBAJBoauBrpfPRhUmqmKiCoOI0IkLA1U10RI6WtJAQ0cVOprQ\n0ISGKlQ0oaIJBV1R0IRAE6AhUPfWopSlFU/CHxKIQPVxlAK+6hOUPtt4OELiqrI0FyCQQkEKEIpA\nVSWKKtE0iaYHmHpATA9QtQDVCDfFkKh6gDAChCER6j48K/kqMtAg0JFBBCl1AkvHlRqB1PGlhi91\ngsAgCHTCKnMbqgRVDv4WKqYQqKqKoqqhrYWuUVVXQ9bK72JU+I9ASklBSjKeJOMH2zYv3Hd2F1mb\nLbDV9dl+CqlBU5hoaCyoTTIpolOpqhSlICshLSFdMsNJKDBGD+1FKpVt8yFjTjmJrf02D73ey6vt\neVa15dmYDidAVAGT6qJDcyOHW29ke45YMVm3bh2NjY00NDQAcPLJJ/PCCy8MS0yklOD7yNKGlDTU\nfG6ogty+spTs5rvdHTN4zA7XWZ0d2/4WZj5UYSDB6cvg9PdR2LolnHqVEqe/D911yG3ZhG9ZFDra\nyFWmsG2La776Ve79yV00NTTwnz/5CQOdHWQ3bcCzihTa28hWVgDg2xb5zg4K6R7cYoGB9lakEBQH\n+rCLBfp7O1E1jWx/DwiwnTxFK89AIc01X13CqtVreHr5Xznnogu59+4fU1mZAqXUhhRyqDF57gfm\ncvud/41rOpx11ilQG+ALB6lJZI2HbCgNDakgGj2ELlFqPZT60ri6AKXSR0QDzl80ny9/efF2D0qE\nmxAgVMaNnsD9//vfPP3sX/nhTcs46cQ5fP6yy8LKP18Neg3kKznlhFO55YallNbjhPsCiMDE9OqJ\nec3omk5SNAMQ12tQAoNKo2GwSNsayxWCCRPP2XbPQm47ViRSLX1WJSgBUvMJFBepybB5rQVI1Ueq\n4GsBnlL6PqxZkWoASngsSmkJZXAL81CERFUkupBIJTwnrgQ7LVXd1zsPSBUpFZAaQaAjpYYnVaTU\nCOxwLwc/B9oOezm4VEqGEqEiUFFQhEBBQVcEuhCgKAg99FYrNRVUDQwVFAUpBIEMZ5E8JI4kHFCU\n4aBiAGQ1jV43IJBhhe2XzvelLO3Da32547EnJR7gSXCkxJUSVzK0d6TECaAgA4oBFAMZblIOHQ8E\nAY4MK0WjdD+DW0IRjI0ozE3GqNdVKlWFWEnwbB+KvsR1Azb3e6x3HVQ/QPF9hB+AG+B7Ppstj37L\np6/o0V/06LPCfU/WQqhhVZwwVKY1xZh3VBXHNsWZ0hAjZuwjwP1hwhErJul0eijgE0BNTQ1vvbX3\nYar7Pv/JsK4XYTCeaYs+TOO4CcAwRineJmYeP5Orv/rvfPjDH6IylaK/fwAPcJHYAiKxGP3FAo4C\nWc9FAonqKvrtIn966inOfd9pqHUuicoIljGAVh9W3kKX6NUex0+dyHdv+RE5vZtUKsEjTz/GRz6y\nELPWRgiJWRMuWdETHqoZYFY5bN7cxpxTJzHn1En85W/P0ZNto37U7p0dnnz6sXztP7Zy96/v5xvX\nXomu6oDghONn8OADT7Hks4t57vm/U11ZRZXRzOzjZvGnB17gs5deyjMr/kp/fxaj0MDpMxaw+MrL\n+cxFV1JXVUfa6SbvDjBy1AgECqZZRSbrUFlTx0X/diHV9XX8+tf3YVYaJJJxHK2IUQ1zzpjOdT+4\nnq35dYwdO5pCoUBHRxfjx49F6AEi5SBqi6EA1JSW1iYcMD1kdfh5+/a5r/fhTFh90M9ZsGPdH7Yt\nFKQU2+0FUipIRKlSV0p/K+0DBekPnh/+PdxUQIFA4Y5iJS/7JlKK8F0v5Tq4D0qlCZs7Yuheg9J9\n730TBGEzKBwJLLWdBq/dltLuFx0Mj/RBXLt7DAFnV8SZEjVRESgiNNAPhTB8Lr/78ybS/eH/wrZ2\nnxxsG5IHVvkBLwcSz5cEgcTzA4L9cJOrCKiIaFRGNFJRlVGVJtMa4/zPXXfj9Xfy0P/cxrjqyGHd\n+9gbR6yYDIfHH3+cxx9/HIAbb7yRmroUKAKhKAhFIRoz0Q0dxGBrtPQQxTaHcEOfS81VIcTQ56Fj\nSmO2g8eD3yvbjgfbyOHxtv3skc1c+YWrWLzkKlRVZdq0Yxg1ahTxeIKasWP5yCc+xne+eyORSIQ/\nPPgHPvKxj3LBxz5BfX09s+bMAQwECRZ9cCHf+Ob/JWJGuOd/fwpoIBPU107ky1+6iksu+QpSSt47\n9zTmz1uIkOH9KDQgECiiCkEMTYzk+9+7kU2bNiOl5OQT38P08XNR7MF/O2W7+wl/h38551/5w8MP\nctqchaglv0lfWvJ1vvS1q3nfv4ZLdm+54buYIsJXLv88n/3yl/ndH/7I7BnHUV9XS1V1lMamFF/7\nwhVccvnHCKRE0zS+/a1/p7m55LE0gLWvv8V3vnsTiqKgaRo3fOvrCB/+z79dyEc/+lkaGur437t/\nxg+//x0+f/lXcZxwfOErX7yKSaMnIaRA9VUULxQ8/NJsbqARdh12MxbtJiF/dOlelVKtWXqmUgmf\nrwx/G1H6bUBBEQoSpfRdaa+ooV8poaIoajiUU3oXhVp6VxQlfL1E6XslfLeGPpfOE6qKoiooSliG\nwW3q1h6cXBFl8AmJbUImSu+0qgiQsvRdWKEiYOguStcoYvAd2fZ5MA2l9FnZ4fowT1Vsdw7bVdql\nc1QRfqcOpjF0LNBVFYIgPIdwaFAVgwIQXqsrAhUxNHSoim3HhqJgCIGuCIzSd0II3swW6bRcBKJU\njsHfJizzS5VREqq6rTyl6wbzVoQgqquYqiCqKRiaiq4KdFXB0BR0VRA3NGKGOrTFDY2Yue24IqLt\ndqL/pg/9eDe11/6haRq1tbUHnc7BcMS6oH/zzTe55557hlYm/e53vwPg/PPP3+M1ZRf0+8+hLptt\n26iqiqZpvPj/t3fnYVFX+wPH37OyjSCDoOQjmVIu5XYVMx8ExgvuC9mTaKl5yzY1S2xB87HMMq8X\nNDUMF1xSC6/Gk0t6kUJRS80Nrt7C5cklEAQExIFhGJj5/THN9wcqizJsel5/+cyc+X4/82WcM+d8\nz/l8Tpxg9uzZJCYmNonY7kakoG9YIrb7U5+xPfAp6Dt27EhmZibZ2dlotVp++eUXZsyofuWU0Pgy\nMjJ44403MJvNqNVqUfNdEB4QzbYzUSgUvPzyy3z22WeYzWZ0Ol2lCoWC/dgzBX2HDh3Yt2+fvUIT\nBKGJaLadCSDVKRfql0hBLwhCTRp+MbcgCILwwBGdiSAIglBnojMRBEEQ6kx0JoIgCEKdic6kCfr6\n66/Ztm0bYK1TkpWVVeNrbm/37rvvcv78+XqLEax5wiqmy//nP//Jiy++iNForPI1a9aswWD4/6JO\nTz/9NHl59t/1LAhCw2rWq7nu1e2bbzIyMlCp7qzJ3BgqxvHKK69I/96+fTtPPfVUjcueb2+3bNmy\neomtIqVSiVwuR6VSsWTJEk6ePMk333xTbV2R2NhYwsLCcHW15hCTyWQolcpa/x3Ky8srpaWv77+f\nk5NTrTdt3e5+X9cQRGz3R8RWtYdmZBIREdHYIVQpJiaGwMBAgoKCmDp1KosXLyY6Oppdu3aRkpLC\nm2++iU6nw2AwEBkZyaBBgwgICGDWrFnWymt3aRcaGkpKSgoA8fHxBAYGEhAQwCeffCKdt3379ixc\nuJCgoCCGDh1KdnY2ADt37iQgIICgoCAGDx5cY/wrV67kp59+YtOmTVJHcvDgQQYOHEhgYCBvv/02\nRqORNWvWkJWVxZgxY+6aqWDbtm0MHjwYnU7HrFmzKC8vl+KcN28eQUFBHD9+XGqfnp5+/xe9njXl\nz5uI7f6I2Kr3UI1MqmMwHKe8PN+ux1Qo3HFy8qu2TVpaGmvXriUhIQEPDw/y8/NZs8aaq2fkyJHE\nxsby8ccf07NnT8A6ann33XcBmDp1Kvv27btrO5usrCwWLFhAYmIiLVu2ZOzYsezZs4dhw4ZRXFxM\n7969mTNnDvPnz2fz5s2Eh4cTFRXF1q1b8fb25vfff682/l9//ZWLFy/y448/otFYKzmVlJQwY8YM\nvvvuOzp27Mi0adPYsGEDr7/+OjExMcTHx1dK0gnW9Dg7duxg9+7dqFQq3n//fbZv305YWJgUZ8WO\nUBCEpuWhGZk0VYcPHyY4OFj6cq2pnsnhw4cZMmQIgYGBHD58mHPnzlXb/vTp0/Tv359WrVqhVCp5\n7rnnOHLkCABqtVqqhdKjRw/+/PNPAPz8/HjrrbfYtGmTNDqoymOPPYbFYuHAgQPSYxcvXsTHx4eO\nHa0ZmcPCwqRzVuXQoUOkpqYyaNAgdDodhw4d4sqVK4A128GIESOqfb0gCI3roRmZBAcHV/t8TSOI\n+uTgULvKaSUlJXzwwQckJibStm1bFi9eTElJyX2fV6lUSpmRFQqFlDQxMjKSkydPkpiYyJIlS/jp\np5+k4l238/T05KuvvuK5557D3d0df3//+4rFYrEQFhbG3Llz73jOwcGh0n0SG9t9l6aops9bYxKx\n3R8RW/UempFJU7jYd+Pv709CQoK0oik/v/JUm0ajQa/XA0irpLRaLXq9nt27d9+1XUV/+9vfOHLk\nCDdu3KC8vJz4+Hj69+9fbUyXLl2id+/eRERE4OnpSUZGRrXtO3bsyPr165k6dSpnzpzB19eXP//8\nkz/++AMPKEz3AAAW0klEQVSw3guxnbOqOAcMGMCuXbvIycmRroNtpFQV0ZncHxHb/RGxVe+hGZk0\nVZ07d+add94hNDQUuVxOt27dKq3cCgsL47333sPR0ZE9e/YwceJEAgIC8PLyqnR/5PZ2Nq1bt2bu\n3LmMGTMGi8VCcHAwQ4cOrTam+fPnc+nSJSwWCwMGDOCpp56q8X306tWLZcuWMWnSJOLj41m2bBlT\npkyhvLycnj178tJLLwEwceJExo0bR5s2baSyAQCdOnVi9uzZjB07FrPZjEqlYtGiRSJ5pyA0E822\nnglYVxGdOnUKNzc3oqKiALh8+TJr1qyhpKQET09PZsyYgbOzM2VlZcTExHDp0iXMZjMBAQH07dsX\ntVpNcXGxVAvA1dWVli1b1jm27OxsiouLUSgU0hei0WgkNzcXs9mMUqmkdevWyOVyLBYLOTk50shD\no9FI906uXr0qFT4C6lzj/n7jkslkeHh4SKu1jEYj2dnZWCwWnJ2d7VKYx16xXbt2jbKyMuR/lVX1\n9va+6zRZbZSWltK2bVtyc3OJjo6moKAAmUxGcHAww4YNQ6/Xs3TpUnJycvD09GTmzJloNBosFgvr\n16/n9OnTODg4MHXqVDp06ABYszDHx8cDMGbMmDon0bRnbGFhYfj4+ADWGhkffPBBg8aWkZHBypUr\nuXTpEuPGjWPUqFHSsVJSUli/fj1ms5m///3vhIaGNpnYpk2bhqOjI3K5HIVCwaJFixo0tkOHDrFj\nxw4sFgtOTk5MmTKF9u3bA/a/blVp1iOToKAghgwZQnR0tPTYqlWrmDhxIl27diUpKYmdO3cybtw4\njh49SllZGVFRURiNRsLDw+nevTsqlYrc3Fy8vb1RKpVkZGTg7OyMWq2uU2wtWrTAzc1NWm4LkJOT\nI33pFRYWUlBQgFarpaioCIvFQrt27TCbzaSnp6PRaKQ9FI888sh9fxnWJa7CwkIA2rVrR3l5OZmZ\nmbRt2xaZTCZ9mB0dHcnMzLRLoTF7xQbWEVlt70XVhkKhYOLEiXTo0AGDwUBERATdu3fnwIEDdOvW\njdDQUL7//nu+//57JkyYwOnTp8nKymL58uVcuHCBtWvXsnDhQvR6Pdu3b5e+bCIiIujTp4+0Eq4x\nYwPsXmPmXmPTaDT84x//qLQEHMBsNhMbG8vcuXPx8PBg9uzZ9OnTp04/ruwVm81HH31kt6nXe43N\ny8uLjz/+GI1Gw+nTp1m9ejULFy6sl+tWlWZ9z6Rr1653/Ce8du0aXbp0AaB79+4cO3ZMeq6kpITy\n8nJKS0tRKpUoFAqMRiMqlQqVSoVMJsPFxYWioqI6x+bk5CT9MrYxmUzSr2dnZ+dK5zGbzdaa038N\nFG9/rb3cS1y2x5OSkggODmbcuHHodDqCgoIIDw/H0dERsHYCDX3NKj6uUCiQy+XV7ryvK3d3d+nX\nu5OTE23btiUvL4/jx48TGBgIQGBgoPRFc+LECQICApDJZDzxxBMUFRWRn59PSkoK3bt3R6PRoNFo\n6N69u7QfqLFjqw/3Gpubmxu+vr53/Hi6ePEibdq0oXXr1iiVSvr371/ll3pDx1Yf7jW2Tp06Sd+F\njz/+ODdu3ADq57pVpVmPTO6mXbt2HD9+nL59+3L06FHpovbr148TJ07w2muvUVpayksvvYRKpZI6\nFhulUllvX0pqtZqioiJcXFzQ6/XS6ilbB3blirXuuoeHR6UPbGZmJmCdgquPm85VxWWbAtTpdAwY\nMID09HQ8PT1RqVTSdYXKK8EaOjaNRkNZWRlGo7FSDNnZ2dKPg5qWW9+r7OxsLl26hK+vLzdv3pSO\n37JlS27evAlAXl5epak/Dw8P8vLyyMvLq7THRqvV2jWdTF1ic3d3x2QyERERgUKhYPTo0fTt27dB\nY6vK7dfNw8ODCxcuNInYbGwF5EJCQux6Q/xeY0tKSqJXr15A/V+3ih64zuTNN99k/fr1fPfdd/Tp\n00fqKC5evIhcLmfVqlUUFRUxb9482rdv3yC/Mmw8PT25ceMG+fn5uLi4SFMyts7r0UcfxWw2k5GR\ngZOTEyqVikceeQSlUilN5ahUqmrTldgzrhYtWlBaWkpGRgZKpRJHR0fpuYZyP7F5eXmhVCoxm81c\nv36dW7du0aJFC7vEU1JSQlRUFJMnT75jWq/iva3GYI/YVq5ciVar5fr163zyySf4+PjQpk2bJhFb\nfbFHbAsWLECr1XLz5k0+/fRTHnnkEbp27drgsZ09e5b9+/c3ygbfB64zadu2rbRX4dq1a5w6dQqw\nbvbr2bMnSqUSNzc3OnXqhF6vx8PDo9Iv2rKysnrrYNRqNd7e3oB1msY2ZaPX63F2dkYmk6FQKHB0\ndJSm32ydoUKhwNnZGaPRaPfOpKq4ZDJZpV+wtlxmcrm80mbG8vLySqO7xowNkGKRy+VoNBqMRqNd\nOhPbPbcBAwbw9NNPA9apj/z8fNzd3cnPz5dGjlqtVlrUAXDjxg20Wi1arZbffvtNejwvL88uXzr2\niM32HFjvOXXt2pXLly/XuTO5l9iqotVqK42GK8bc2LHZ4rO91s/Pj4sXL9b573qvsV25coVVq1Yx\ne/Zs6fNeX9ftbpr1PZO7sQ37zGYz8fHxhISEANaVKWfPngWsvf2FCxdwcnLCwcEBk8mEyWTCYrFI\nUyr1wfYFbLFYKn0QlEqllEnXbDZLHYnZbMZsNkuPGwyGOi8MuJe4Kp6/uLgYmUyGWq2WNjvaNkze\nunWrwa9ZVbFZLJZKrykqKrLLNbNYLMTExNC2bdtKu/H79OlDcnIyAMnJyfj5+UmPHzx4EIvFwvnz\n53F2dsbd3Z2ePXuSmpqKXq9Hr9eTmpp6RwqcxopNr9djMpkAKCws5Ny5c3W+UXuvsVWlY8eOZGZm\nkp2dTVlZGb/88gt9+vRpErGVlJRI/39LSkr473//K62Ia6jYcnNziYyMZPr06ZUSPtbHdatKs14a\n/MUXX/Dbb79x69Yt3NzcGDt2LCUlJSQkJADQt29fXnjhBemLb+XKlaSnp2OxWNDpdPTu3fuOpcEt\nWrSwyxz79evXpRv+CoUCd3d3LBaL1Nm5uLhIc5lms5mcnBxKS0ulGFq2bInJZOL69euA9cNVcclw\nQ8RlMpnIzMyURky26SOon6XB9ojNbDZz7do1aSGDk5MTHh4e9z2NYlsanJaWxrx58/Dx8ZGONX78\neB5//HGWLl1Kbm7uHctvY2NjSU1NRa1WM3XqVCm9TFJSkrTHZsyYMeh0ujpdN3vFdu7cOVavXo1c\nLsdsNjN8+HAGDhzYoLEVFBQQERGBwWBAJpPh6OjIkiVLcHZ25tSpU2zcuBGz2YxOp2PMmDFNIrZb\nt24RGRkJWH/8+Pv7N3hsMTExHDt2TPp/WHF5sr2vW1WadWdSVxkZGfXyS7+uNmzYgJOTE2FhYcTF\nxREUFFTjVMPt7WbOnMkbb7xBp06d6i3On3/+mUmTJuHj44PZbKZVq1bExMTg6elp1/NUvB4NzdaZ\nCIJQvQdumutBMHnyZOmLMy4urlbFsW5vt3Tp0nrtSGz69evH/v37SU5OplevXqxbt87u56h4PQRB\naJoeuBvwzdHWrVtZuXIlMpmMrl270r59e1xcXPDx8ZHqlNjSpERHR7Nv3z5KSkrw8/MjMjKS3bt3\n39Fu/PjxUkp6W3oTWzqVefPmAdY6Ia+99hr79u3DycmJjRs34uXlxc6dO4mMjEQul+Pq6srOnTtr\nfA8WiwW9Xs9jjz0GQFFREXPmzCEtLQ2TycR7773H0KFDiYuL4z//+Q8Gg4HLly8zbNgwPvroIwC2\nbNnCihUrcHNz48knn0StVrNo0SIWL16Mi4sL06ZN48yZM7z//vsUFxfTvn17li1bZpeMBYIg1I3o\nTP7yz8wC0gwmux6zs5OKD7yr/6JLS0tj6dKl/PDDD02ynklNa+yPHj2KTqcjPz8fZ2dnPvzwQ8B6\nP8vf359ly5Zx8+ZNBg8eTEBAAGBdvpiUlIRaraZ///5MmTIFhULBkiVLpLooY8aM4cknn7zjfNOn\nT+fzzz+nf//+LFq0iMjISD799NNa/DUEQahPYpqrkR0+fJhRo0Y123omtmmulJQUxo0bx/z58wFr\n/qkVK1ag0+kIDQ3FaDRK2YcDAgJwdXXF0dGRJ554gj///JNTp07xzDPP4O7ujkqlqpT3yKawsJDC\nwkIpA3Ft6qQIgtAwxMjkLzWNIJqCxqhnEhISQmJiYq3Wpg8ZMoSXX34ZsE57rVu3Dl9f30ptTp06\nVWnRg0KhqLHDEgSh6RMjk0bm7+/Pzp07m2w9Ew8PjxrrmdgcO3ZMylSq0+lYu3attET3zJkz1b62\nV69eHDlyhIKCAsrKyiq9NxtXV1fc3Nw4evQoULlOiiAIjUuMTBpZc69nYrtnYrFYcHV1ZenSpQCE\nh4czd+5cgoKCMJvN+Pj4sGXLliqP4+3tzdtvv83gwYNxd3fH19f3rjuPV6xYId2Af/TRR1m+fHm1\n70UQhIYh9pk0wX0mDyu9Xi8lbpw8eTLjx49n+PDhjRpTU9lnYtvIKQhNlRiZCE3Gv/71Lw4ePIjR\naCQoKIhhw4Y1dki1snPnTs6fPy+tsgNYt24dMpmMsLAwNm7cyOnTp5HJZOh0OsaOHYtcLicrK4tV\nq1Zx5coVZDIZPXr04JVXXpFS00ybNo2QkBAOHz7MtWvX2LRpE7t27WLv3r0YDAbc3d2ZMmUK3bp1\na6y3LggS0ZkINUpKSmLBggWVHvPx8WHjxo12PY9tJVhzM2DAALZt2ybldSsvL+eXX35hzpw5REdH\n4+bmxvLlyzEajSxatAgPDw8pZ9yzzz5Lly5dMBgMREVFsW3bNiZPniwd++effyYiIgJXV1euX79O\nQkICn3/+OVqtluzsbCk/mSA0NtGZCDUaOHBgnXM0Pcjc3d3p0qULR44cITg4mJSUFFq0aIFWq+X0\n6dNs2LABtVqNo6Mjw4cP56effiIkJIQ2bdpI6W9UKhXDhw9n+/btlY49dOhQKd+SXC7HZDKRnp6O\nq6srXl5eDf5eBaEqojMRBDsIDAxk3759BAcHc+jQIQICAsjNzaW8vJzXXntNamcrfgZQUFDAhg0b\n+P333ykpKcFsNt9RObRiAs02bdowefJktm3bRnp6Oj169GDSpEn1llJcEO6F6EwEwQ78/PxYu3Yt\nV69e5eTJk0yYMAGFQoFSqSQ2NvauN8+//fZbAKKiotBoNPz666815jbz9/fH39+f4uJiVq9ezZYt\nW3jrrbfq5T0Jwr0Q+0wEwQ7UajVPP/00y5cvx9fXl1atWuHu7k6PHj34+uuvKS4uxmw2k5WVJRXH\nMhgMODo64uzsTF5eHrt27ar2HNeuXePs2bOYTCbUajVqtbpRKxQKQkViZCIIdhIUFERSUhJvvvmm\n9Nj06dPZsmUL4eHhGAwGWrduzejRowF4/vnn+fLLL3nppZdo06YNAQEB/PDDD1Ue32QysWXLFjIy\nMlAoFHTq1KnSFJogNCaxz6QJ7jNpLvVMiouLCQ8P5/fff5c2LcbFxd0x719dnHfz1ltvMWjQIEaO\nHFkfYd+Te9lnkpubyzvvvMPq1avvqNctCA86MTJpgiouDY2Li6Nz58616kwqtrPtRK9Pa9aswdPT\nk5iYGAAuXrwo1WGvbZyNrayszC71681mM7t376Z///6iIxEeSqIz+cv/isu5WW7fQZqbQsaTzjXv\nWm6u9UyuX79eqUa4Lanj1atXmTBhAgcPHgQgOjqaoqIiunTpckeckZGRJCQkoFAoCAoKumOvyaJF\ni8jIyOCLL77g7NmzzJs3j6KiIrRaLStWrKCwsJDp06dLpZqvXr3KxIkTSU5OJjU19Y72rVu3JjQ0\nlKeeeopjx47x7LPPMnXq1Hv/41ZQUlLCq6++iqenJ3PmzKnTsQShuRI34BuZrZ5JfHw8Bw4c4LPP\nPpOeGzlyJD179uSrr75i//79ODk58corr7Bv3z4OHjyIwWCQ6pnc3s7GVs/ku+++IykpiZSUFCl3\nl62eyYEDB+jXrx+bN28GkOqZHDhwgE2bNlUZ+/jx4/nyyy8ZOnQon3/+OX/88Ue17/X2OA0GA3v2\n7OHQoUMkJycTHh5eqf3HH39Mbm4uy5cvx2w2M3v2bGJjY/nxxx954YUXWLhwIY8//jilpaVcuXIF\ngO+//57Ro0djMpnu2t6mtLSUxMTEOnckAI6OjmzatIklS5ZUWsorCA8TMTL5S21GEPXhfuqZREdH\nYzAYyM/Pp3PnzgwePLjK9hXrmQBSPZNhw4bdUc8kOTkZ+P96JqNHj642N1a3bt349ddfOXDgAAcP\nHmTQoEHs2bMHR0fHWr13V1dXHBwceOeddwgJCZFiAWuH1rt3b6KiogDrFFpaWhrPP/88YJ1Wsm3a\nGz16NDt27GDGjBns2LGDNWvWVNseIDQ0tFYxCoJQO6IzaUaaYj0TjUbDiBEjGDFiBHK5nB9//JHQ\n0NBKaT5sqfPvdv6EhAQOHTrErl27WLduHfHx8YA1JX1qair5+fm4u7tjsVjo1KkTe/fuveM4o0eP\nZsqUKQwfPhyZTEaHDh347bffqmwPiPsagmBnYpqrkTXneibHjh2joKAAsE4bnT9/nnbt2uHp6Ulu\nbi55eXkYjUYSExPvGqder6ewsJDg4GAWLFjA//73P6ndwIEDmTFjBi+88AJ6vR5fX19u3LjB8ePH\nAesy2bS0NAAee+wxFAoFUVFR0rLb6toLgmB/YmTSyJpzPZPLly/z/vvvA9ZppODgYEaMGIFMJmPW\nrFkMHjwYb2/vStUWK8YZFxfHpEmTpNHV7TffR40ahV6vZ+LEiXzzzTfExsby4YcfUlhYKKUp6dy5\nM2AdncyfP58TJ04A1k2E1bUXBMG+xD6TJrjPRGg6mko9E0Fo6sQ0lyAIglBnYppLqFFD1TMRBKH5\nEtNcYppLqIaY5hKE2hHTXIIgCEKdic5EEARBqDPRmQiCIAh1JjoTQRAEoc5EZ9IEbdiwga1btwLW\nlO1ZWVk1vub2djNnzuTcuXP1FqPNqVOnGDVqFM888wwDBw5k5syZFBcXs3jxYqKjo+v9/IIgNA1i\naXAT1FzqmWRnZzNlyhRWrVqFn58fALt27bprWhdBEB5sojP5S9T+K5zPLrbrMZ/wcmaW7tEa2zXX\neibr1q1j7NixUkcCVKqOeP78eUJDQ0lPT+f111/n1VdfBeCrr77i22+/BeDFF1/k9ddfv+9rLAhC\n0yCmuRpZc65nkpaWRo8ePap8/sKFC2zdupWEhAQiIyMxmUykpqYSFxfH3r172bNnD5s3b+bMmTN1\nvYyCIDQyMTL5S21GEPWhOdczqUlISAgODg44ODjQqlUrcnJyOHbsGEOHDsXFxQWA4cOHc/ToUbp1\n63bf5xEEofGJkUkzYqtnEhsbS3JyMhMmTKi3eiazZ88mIyODkJAQKT3+7Tp37kxqamqVx6+YXaDi\n8QVBePCIzqSRNed6Ji+//DL//ve/OXnypPTY7t27yc7OrvLY/fr1Y+/evRQXF1NUVMSePXvo169f\ntfEIgtD0iWmuRtac65l4eXmxatUqqVa7XC6nX79+DBw4sMpjd+/enXHjxjFkyBDAegNeTHEJQvMn\nEj2KRI9CNUSiR0GoHTHNJQiCINSZmOYSaiTqmQiCUBMxzSWmuYRqiGkuQagdMc0lCIIg1NlD3Zmo\nVCpMJlNjhyE0USaTCZVK1dhhCEKz8FBPc1ksFnJyckSHItyVSqXC09NT2tgpCELVHurORBAEQbCP\nh3qaSxAEQbAP0ZkIgiAIdSY6E0EQBKHORGciCIIg1JnoTARBEIQ6+z/H0TXtAfxHDgAAAABJRU5E\nrkJggg==\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "RSWNPfsM2DdU",
"colab_type": "code",
"outputId": "306fe53e-7a6b-412f-eb93-9e36811067bb",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 526
}
},
"source": [
"ax=None\n",
"for name in ddata:\n",
" ext,ax=fit_extrapolate(ddata,name,n_years=5,lag_past=5,option='cit_per_year',ax=ax)"
],
"execution_count": 0,
"outputs": [
{
"output_type": "stream",
"text": [
"avg_rel_error = 0.04326048796783883\n",
"avg_rel_error = 0.031902229370081296\n",
"avg_rel_error = 0.007177248689954316\n",
"avg_rel_error = 0.010621346661137551\n",
"avg_rel_error = 0.03675829855631711\n",
"avg_rel_error = 0.00432134498270233\n",
"avg_rel_error = 0.03379598880510215\n",
"avg_rel_error = 0.024539091605678312\n",
"avg_rel_error = 0.036251466036567245\n",
"avg_rel_error = 0.04947891150973967\n",
"avg_rel_error = 0.027612068264614986\n",
"avg_rel_error = 0.004571975271337363\n",
"avg_rel_error = 0.022825530090185075\n",
"avg_rel_error = 0.013415671795521061\n"
],
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"image/png": 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H7Nmzeeihhwq1+euvv7JixQo5PfzevXv55ptvWL58OXv27OGzzz5Dr9fzwAMP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\nTkSuQmCC\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "-PJIyGEQ2sWF",
"colab_type": "code",
"outputId": "5283df76-33a6-4c94-d0df-1de9f9941e88",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 836
}
},
"source": [
"ax=None\n",
"for name in ddata:\n",
" ext,ax=fit_extrapolate(ddata,name,n_years=5,lag_past=5,ax=ax)\n",
"\n",
"plt.savefig('analysis_hinton_all.pdf')\n",
"from google.colab import files\n",
"\n",
"files.download('analysis_hinton_all.pdf')"
],
"execution_count": 0,
"outputs": [
{
"output_type": "stream",
"text": [
"avg_rel_error = 0.04326048796783883\n",
"avg_rel_error = 0.031902229370081296\n",
"avg_rel_error = 0.007177248689954316\n",
"avg_rel_error = 0.010621346661137551\n",
"avg_rel_error = 0.03675829855631711\n",
"avg_rel_error = 0.00432134498270233\n",
"avg_rel_error = 0.03379598880510215\n",
"avg_rel_error = 0.024539091605678312\n",
"avg_rel_error = 0.036251466036567245\n",
"avg_rel_error = 0.04947891150973967\n",
"avg_rel_error = 0.027612068264614986\n",
"avg_rel_error = 0.004571975271337363\n",
"avg_rel_error = 0.022825530090185075\n",
"avg_rel_error = 0.013415671795521061\n",
"avg_rel_error = 0.02695038171957633\n",
"avg_rel_error = 0.037217809437702316\n",
"avg_rel_error = 0.05100837644185594\n",
"avg_rel_error = 0.07923464069871672\n",
"avg_rel_error = 0.020939168229070722\n",
"avg_rel_error = 0.045043394019732536\n",
"avg_rel_error = 0.008198143527463144\n",
"avg_rel_error = 0.013171187627250155\n",
"avg_rel_error = 0.03982671579985385\n",
"avg_rel_error = 0.03323936160046755\n"
],
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"image/png": 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t27cTFRXllA2BQCC4H7CYbexeaW8p32VE1RPuJZAklObqV7+DAyuTuXPncuzY\nMfLz83nppZcYMWIEQ4YMYc6cOSQnJ8vHdgEiIyM5cOAAEyZMwNXVlbFjxwJ2DfDHHnuMqVOnAjBs\n2DA5Gf/888+zaNEiTCYTERERREZGAlTZhuDmIfRMBII7A0mSSN2QTm66ka6P13Mq4V4chcV2vcak\n+js0QrZXyPZWyP3um5DtvbUI3yrm9C4tRxIzadkriBY9/s5xOOubusCM75k88h/wwexbttaJkO0V\nCASCe4jMswUcScqkbgtvmnd3vMK9IuRjwTWwMhHBRCAQCO5wCnJM7P3xEj5B5Wi4O0lNiGLJc1V7\nBoFAIBDcNCwmG7tXXgIJupSj4e4sKoMVq4sSlNUPTiKYCAQCwR2KJEkcWH+FvAwjHYfWxVtTdl7D\nWdR6K1aPmglOIpjcgdwteiZg75U2dOhQunfvTp8+fZg8eTJ6vZ74+PhbpmmSkpLC008/fUtsCQS3\nktMpWi4dzadVdDAhTcvXcHcKq4TSaMXqUTOFv6IF/R1I8S/GVatW0aJFC2rXrl3hPTeO+/TTT2+q\njwBZWVm8+OKLLFq0SK4P2rBhQ5ltXQQCQdXIOKPj6JYsQlv5ENat/N54zqIyWFAAlhoKJmJlcgew\ncuVKuVp//Pjx8q/6DRs2yDolcXFx6PV65syZQ//+/YmOjub1119HkqQyxw0bNoy0tDTA3oE5JiaG\n6OjoEvUizZo1Y+bMmcTGxjJw4ECysrIAWL9+PdHR0cTGxvLII4+U6/c333zD8OHD5UAC9k7AwcHB\nAJw6dYphw4bRtWvXEjUpX3zxBdHR0URHR8vV9hcuXKBHjx5MnDiRhx56iHHjxrF9+3YeeeQRunXr\nxsGDBwHYtWsXcXFxxMXFERMTUypwpaam0qdPH86fP0+3bt3kDgs2m63EY4HgTkaXbWLfmsv4hrjR\nfnDNJdyLo9bbk+81tc0lVibXEXomVdczOXnypKwIWRZnzpxh1apVFBQU0L17d55++mmOHz/OypUr\n2bBhA5IkMXDgQLp27Yqfnx/nz5/niy++YPbs2fTv35+EhAQSEhLYvHkz8+fP5+uvv2bx4sXMmDGD\njh07lmqHs2/fPt5++22WLVtGaGgojz32GGvWrOGFF15gx44dtGrVqkRjUYHgTsRstLJ75UUUCgVd\nRoSiroGTVmWh0luwqRTYXMqfvypliGJlcpu5F/RMyiMmJgY3Nzc0Gg1BQUFkZWWxd+9e+vbti6en\nJ15eXvTr1489e/YAUL9+fVq2bIlSqSQsLIyHHnoIhUJBixYtuHDhAgAdO3bkX//6F0uXLiU3N1du\n9HjmzBneeOMNvvnmG0JDQwGu6o9NAAAgAElEQVR7z7PVq1cD9t5fI0aMcPq1CAS3AkmS+D3hCrqr\nJjo+VhevgJpNuBdHbbiefC9n1SNJEtq/9I7PV1OO3e0IPZOq65mEhYVx6NAhHn744TLnd3P7u9WD\nSqWqNDAVH69UKmXFRqVSKd87btw4YmJiSE5OZtCgQSxfvhywa6oYjUaOHDki541CQ0MJDg7mt99+\nIzU1lQULFjj0vggEt4uT27O5clJHmz61qNXY6+YZkiRUegvGwLK7cttsElfPFlKYY3Z4SrEyuc3c\nzXomo0ePZtWqVSW0RzZu3CjnXsqic+fO/PLLL+j1egoLC9m0aROdO3eu0J8bfWvZsiX/93//R0RE\nBGfOnAHA19eX7777jpkzZ5KSkiKPf+KJJ5gwYUIJVUeB4E7kysl8jm+7Sv22vjTpfHOb1yqNVhRS\n2cl3q8VGxikdhTlmAupXLAFRHLEyuc00b95c1jNRKpW0bt2a+vXry8+PGDGCN998E3d3d/73v//x\n5JNPEhMTQ3BwcIn8yI3jiggJCWHatGmynklMTEy5K4kiPvjgA86dOyfrmYSHh5c5Ljg4mEWLFvH+\n++9z9epVlEolnTt3pnfv3uXO3aZNG4YPHy5rqjzxxBO0bt1a3saqjCVLlpCSkoJSqaR58+b07t2b\n33//Xfbn22+/ZdSoUcTHx9O+fXv69OnDq6++ysiRIx2aXyC4HeRlGdm/9gr+dd2JHFD7pmtElZd8\nt5jsgcRssBHU2BPvQMe32USjR9HosULudt/S0tJ49913K1R5rAjR6PHWcj/6ZjJY2brkPBajjV7P\nN8LTz+Wm++ZxuQD3qwZy2mjknIlJbyXjlA6bRaJWUy88rvvhaKNHsTIR3LMsWLCA7777TuRKBHcs\nkk1i/5rLFF4z89DTDZwKJM6g1luxuv+dfDfkW8g8XQAKqN3CGzevqocGEUwElXK36pmMGzeOcePG\n3W43BIJyOfbrVTLOFHDevJshDVrcGqPXk+8mP/sWVmGOmaw/ClC5KgkJ88LF3bncoggmgkrp1asX\nvXr1ut1uCAT3FBeP5nFqZzaN2vvz6MBnbpldhdmG0iph9VCTn2kk+089rl4qQpp5oaqg5qQyRDAR\nCASCW8y1dAMH1l1BU9+Ddv1CbqntouT7NZ2V7CwzHn5qgpt4oVRVL+kvgolAIBDcQowFFvasuIir\np4rOw0N591//D4D33nvvlthX6S1IQFaWCa9AV4IaeaIQLegFAoHg7sFmldi7+jKGAiudR4Ti7n1r\nf8/bbBLWq0aMEvjUdifogZoJJCBWJgKBQHDLOLw5g6t/FtJhSB0C6noAt25FYrXYyDxdQFOLDYuH\nmoD6HjU6f7WCyYYNG0hOTkahUFC/fn3Gjh3LtWvXmDt3Lvn5+TRu3Jjx48ejVqsxm80sWLCAs2fP\n4uPjw8SJE6lVqxYAa9euJTk5GaVSyejRo4mIiADsHWCXLVuGzWYjJiaGIUOGAJCZmVmmjXuF7777\nDg8PD4YPH86KFSvo2bNnpS3obxw3efJkxowZQ1hY2E3xsfgJr/Pnz1O7dm3c3d1p2bIlzz33HKtX\nr+b9998nPj4eLy8vXnrpJYfmbdasGadPny51vfh7UhMMHjy4RHGnQHCzOX/wGmf3XaNplwAatPW7\npbYtRnsxos1oxc0FrP413/PL6W9grVbLzz//zJw5c3B1dWX27NmkpKRw4MABBgwYQLdu3fjyyy9J\nTk6mT58+JCcn4+Xlxfz589m5cyfLly9n0qRJXLx4kZSUFGbPnk1OTg7vv/8+n332GQBLly5l+vTp\nBAYGMnXqVKKioqhXrx7//ve/y7Rxr3A36JkUP+E1bNiwUh2Lb+xeXF3KE7+yWCxO/ZAQgURwK9Fe\n1JO2MYNajT0Jj61V4rlp06YBMGPGjJti26S3knFSh80qUa++O6QX1ljb+eJUK2dis9kwmUxYrVZM\nJhP+/v4cPXqULl26APYvnH379gGwf/9++cunS5cuHDlyBEmS2LdvHw8++CAuLi7UqlWL2rVrc+bM\nGc6cOUPt2rUJCQlBrVbz4IMPsm/fPiRJKtfG3crdqmdSHjcqHx49epRBgwbRrVs3uTFjRkYGQ4cO\nJS4ujujoaLlzMFCmT8WVG4cNG8Y777xDnz59WLJkCZs3b2bgwIH06dOHkSNHlrjn1VdfLVNTpVmz\nZlV+XQKBM+jzzexZeQkPXzUdHwtFeUOOwt3dHXd3x3tgVQVDvoX04/aefbVbeuN5/Ru/pgSxiuP0\njBqNhkGDBvHyyy/j6upKu3btaNy4MZ6ennJDPY1GIzcw1Gq1spaESqXC09OT/Px8tFptiT/s4vcU\n154IDAzk9OnT5Ofnl2ujOti2X4Us5zvwlkmwG8oeQRUOuZv1TBzl+PHjrF+/Hr1eT58+fYiJiSEh\nIYGePXvyyiuvYLVa0evtra7L8+lGzGYzmzdvxmKxcO3aNdavX49CoeA///kPixYt4v/9P/sJmbI0\nVVxcbk2VsUBgs0rsW30Zs9FKt1GNcC1jRfDOO+/cFNslihGbe+HipkJ91YBNrUCqRj1JeTgdTHQ6\nHfv27WPhwoV4enoye/ZsUlNTa9K3apOUlERSUhJg/7UbFFTyiz0jI0PeIrEolEg13FxNoVBWugWz\na9cuBg0aJOePgoODUSqVKJVKuUW8SqWS59mzZw8LFixAr9dz7do1WrZsSf/+/UuNK3p8+PBhunXr\nRkiI/Sz7sGHD2Lt3LwMHDsTV1ZV+/fqhUCiIiIhg27ZtqNVqOnXqxKuvvsrgwYMZMGBApa/hRtsq\nlQqFQoFarUapVNKvXz98fHzw8fHhoYce4tChQ3To0IGJEydis9no168frVu3BijXpxvfk0cffRSw\n9+fKzMxk7NixZGRkYDabadCggXxPXFwcXl5eeHl5ERwcTE5OjtxryJHtMTc3t1KfG0dQq9VO3Xcr\nEL45hzO+7Vl3juwLeno/HUbjVrUqv8FJbvQt60IumWeu4ennRrMOdXFxswcx2x868PN0+HX8dTgV\nbnZvrsOHD1OrVi18fX0Be2vxkydPUlhYiNVqRaVSodVqZR0MjUZDdnY2gYGBWK1WCgsL8fHxka8X\nUfye4tezs7PRaDT4+PiUa+NGiraOirixEVoJpb7uGm5Gn87KGhHabLZS42w2GzabDYvFgiRJWK1W\nLBYLBoOBN954o4SeiV6vLzUOkB8Xn+vGudVqdQmNEbPZjMVi4aOPPnJIz6SIG21brVYkScJisWCz\n2eT/L7IvSRIdO3bkxx9/ZMuWLYwfP54xY8YwfPjwcn268T0p0j6xWCxMmzaNMWPG0KdPHzn/VnSP\ni4uLbFupVGI0GuXHjjSwNBqNTjX3ux8bFtYE95JvV07pOLTlEo06+OPfSFnuva+//joAH3/8cbV9\nkySJ3CtGrl0y4O6rJqiJO7n5OZAP2CQCdEYMngr0DrwOq9lM4lcLaNrhO4d8cHqtExQUxOnTpzEa\njUiSxOHDh6lXrx7h4eGykt/WrVtlffAOHTqwdetWAHbv3k14eDgKhYKoqChSUlIwm81kZmZy5coV\nmjZtSpMmTbhy5QqZmZlYLBZSUlKIiopCoVCUa+Nu5G7WM3GUX375BYPBgFarZdeuXbRr146LFy8S\nHBzMU089xZNPPsnhw4ednj8vL08+eLBq1apq+SoQ1ASF18z8nnAZv9putH244hVJQEBApQqrjlCk\njHjtkgGvQBdCmpWsalcZrCgAq4P5ktMp2yjMcTyF4PTKpFmzZnTp0oU33ngDlUpFo0aNiI2NpX37\n9sydO5cffviBBx54gOjoaACio6NZsGAB48ePx9vbW94Hr1+/Pl27duXVV19FqVTy3HPPoVTaY9yz\nzz7Lhx9+iM1mo3fv3rLOx1NPPVWmjbuRu1nPxFFatmzJ8OHD0Wq1TJw4kdq1a7Ny5UoWL16MWq3G\ny8tLPsHnDK+99hovvvgifn5+dOvWzWFtFIHgZmCzSuz98RKSDToNC0Wlrvg3+9SpU2vApo2sP+zK\niL613Qio515KE0Wlv74idyCYmA0GjiVuJLxDT4d9EHomQs+kQu5334Seya3lXvDt0C8Z/LEnh07D\n6hLayvem+2WzSGj/NKLTGgio745f7bJPhnleKsBNayCntaZc3fcijvyyAf2Jc8T1egLPfo5Jmt87\nlX4CgUBwm7l8Ip8/9uTQuKO/w4Gk6HTmnDlzqmyvSBnR4oAyokpvweKurjSQGHX5qC/n8XCvJzF7\nOh4iRDARVMrdqmciENxKCnJMHFhnl95tHef4yS1HlQxvxGywknGyAKvFRtMOdTErCssfLEmo9VaM\nAZVUvksS5gNneLD9wxS4WTE20eDjoD8imAgqReiZCAQVY7XY2Lv6Miig02N1K82TFGfKlClVtmfU\nWcg4ba8Bq93CG79gT65eLT+YKE02FDap4uS7TcL9Dy0avwacyz6LX++oSlcxJWw4PFIgEAgEZXIk\nMZNrVwy0H1wHr8p+/VcTfa6Z9JM6lCoFdVo6JrFbWfJdYbHhczYPz0JI2f8zqnYPVCmQgFiZCAQC\nQbW4dCxPbuBYt4Wjm0J/M378eADmz59f6Vhdtomr5wpxcVcSEuaN2tWx9YBab0UCu+77DShNVnzO\n5qM0Wti8fQWK0EC8A50o1K3yHQKBQCAAoOCaiYPr0wmo6054jHMV7o0bN3ZoXG66gZwLBtx91NRq\n6oVS7fjKQaW32AOJsvRxYZ+zeWCDXWe2c+7iCQY+82E5s1SMCCYCgUDgBDarxP41V5Ak6PhYXadl\nb4tOc5WHJEnkXDSQl27EM8CFoMaepZpFVoZab8HsU7InnUueCe8/87GplFzy1nHwt02Ex/XHw8e5\n48wiZ3IH8t1338mV3CtWrCA9Pb3Se24cN3nyZE6dOnXTfITS3YEBJk6cyIYNGxz2YdOmTTfdT4Hg\nZnB821W0F/VEDKx90/Ikkk3i6rlC8tKN+NRyJbhJ1QOJwmxDaSmZfHfLNuB9Lh+rq4q8Zr7s37wG\nV09PWvR2XspDrEzuQO4GPRNHcMSHTZs2ERsbe9NEvASCm0HWuQJO/ZZNwwg/6reuXmHiyy+/DMDn\nn39e4rrNKpH1RwH6XAv+dd3xq+tWqqrdEVSGYsl3ScLjSiEeWQZMPi7oGvqQef40V04cpd3Aobh6\nOF/ELYLJdTwvFcgnHmoKq4eawlCvSsetXLmSRYsWAfbWI40aNcLLy4t69erJOiVFbVIWL15MYmIi\nBoOBqKgoZs2axU8//VRq3D/+8Q+5JX1CQgLz58+X26m89dZbgL0lznPPPUdSUhLu7u4sW7aM4OBg\n1q9fz5w5c1Aqlfj5+fHjjz869fqLi2aVZev8+fMkJiaye/duPvvsM7766it0Oh1vvvkmBoOBhg0b\nEh8fj7+/P8OGDSMyMpKUlBRyc3OJj4+nW7duTvklEFQHY4GF/Wuv4B3kStu+IdWer6x2RVaLjcxT\nBRgLrAQ29MCnlpvT86v19sapVlclXn/qcMs1YQh0ozDUCwlI27AWD18/wrr3dtoGiG2u206RnsnK\nlStJSkoqoQc9cOBA2rVrx4IFC0hMTMTDw4NnnnmGjRs3kpycjF6vl/VMbhxXRJGeycqVK9m8eTOp\nqals2rQJ+Fs7JCkpiS5dusjCVUV6JklJSXz3XcUdQ/fu3UtcXJz8X2JiYpnjyrLVsWNH4uLimD59\nOomJiTRq1IiJEyfy1ltvkZSURIsWLZg9e7Y8h8Vi4aeffuJf//pXiesCwa1CkiR+X3cFk95Kp6F1\nHT5NVRHjxo1j3Lhx8mOL0Ub6cR3GQivBTTyrFUjgevJdrcD7Tx2uuSYK63jaf+QqFFw+dpir5/8g\nvM9A1K7VsyNWJtdxZAVxM9i5cyeDBg2SW7xX1j00JSWFzz//XNYzad68eYWSxWlpaXTt2lUWGhs6\ndCi7d++mb9++uLq6EhcXB0CbNm3YsWMHAFFRUUyaNIlBgwYxaNCgCv3p1KlTiYBTlpAVUK6t4uTl\n5ZGbmyt3NR4+fDgvvvii/Hz//v0BaNu2LRcvXqzQL4HgZvDHnhwyzhTQtm9IuT2wqoMssWuTqB3m\njbtv9b+i1QVmlFYJpd6CrqE3Zn970LBazBxctxKf4Fo06VL9Vb5YmdxFGAwGpk2bxhdffMGWLVt4\n8skn5bb0zlAkNAV2QauipomzZs3i9ddf5/Lly/Tp06dGlCzLs1UVXF1dq3W/QFAdsv7ScSQpkzrN\nvWnc0b/G5n3hhRd44YUXMOj+ltit08KnZgJJngml2d7LN6+JrxxIAE78mkh+VibtH30cpar6tkQw\nuc3cD3omFeHt7S1LA/v6+uLn5yfrwf/444906dLlptkWCBzFbLSS/O0J3L3VRA6q41QivDw6dOhA\n394DyTipQ6lWULuFN66epYsLq4qr1oDPuXwUQEFdL6xefx8NLsjJ5mjiT9RrE0ndlq2rbQvENtdt\n537QM6mIRx55hClTprB06VK+/PJL5s6dKyfgGzRoIHIjgtuOJEmk/ZxB/lUDDz3dALca+KIvzqhh\nz16valcREuaFqrr67MVObFldlahMNsx+JY8uH0ywlx60HzKikqnMDpsVeiZCz6RC7nffhJ7JreVO\n9O3c79dI/Smd9n3r07BTzeZWc68YyLlol9it1dTL6cJH+X2zSnj/lY9rnhlDoBsqvQWFDfKa/70t\nd+XEUbZ+8Rlt+z9CeNyAcueUJAmDYTtNmjzhkA9im0sgEAjKQXtJz6FNGdRq4kVk3wY1Nq8kSWgv\n6Mm5aOC3fckMeLKX04GkCIXJiu8fubjkmSmo60lhbU/UhdYSle9Wi5nf1/yAd1CtSgsUDebTHLM9\n4LB9sc0lqBShZyK4HzEWWNi76hLuPmqiHq1b5crz8pBsElfPF1KQbcanlitbD2wkIqJd5TdWNGee\nAb/TuShsoHvAB7OvKy65JhSA2ffvLa4TW5PIz8qg55gJqNQu5c6Xa84hzVwbvcNqJiKYCBxA6JkI\n7jdsNol9P17GWGil5+iGNZYnKauqfcmSJdWa0+WaEemCFkmlIL+pj9w2xSXfhKRUYLmuluho0v2S\n2cIxkw8qLDTTXwVCHfJDBBOBQCC4gWPJWWSdL6T94Nr416mZehKrxUbm6QKMOiuahh74VrMYEUnC\nPVOPZ7oefN3Jq+eBVJS8lyRc8syYvdVyp+CDCatAkspNulslOGGSuGhR40cmdfOvoTB7lDm2LKoV\nTAoKCli8eDEXLlxAoVDw8ssvU7duXebMmUNWVhbBwcFMmjQJb29vJEli2bJlHDx4EDc3N8aOHSu3\nXt66dStr1qwB7EV1Rb+Cz549y8KFCzGZTERGRjJ69GgUCgU6na5MGwKBQFBdLh3P43SKlgc6+NMw\nombqSYq02s0GG8FNPPHS/L311KZNGwAOHz7s+IQ2Ca8LOtyumTD6u+IeUR8p5+96MKXRispswxBi\nDwZXThzlwqEDtO3/CF6awFLTFdogzQh5NgX1OEZwYS5WqRFBtR3XNalWAn7ZsmVEREQwd+5cPvnk\nE0JDQ0lISKBNmzbMmzePNm3akJCQAMDBgwdJT09n3rx5jBkzRl7a6XQ6Vq9ezYwZM5gxYwarV6+W\n6yW++uorXnzxRebNm0d6ejqpqakA5doQCASC6pCXZeTAunQCQt1p87Bz+iQ3YtZbuXI8H4vRRkiY\nV4lAAvZas6r0mVOYrPieycX1mr01SkEDbxSqkl/lLvn2I71mH5dKk+6ZFtilhwKbjZbsINR8ARd1\nc2rXro2LS/l5lRtxOpgUFhZy/PhxoqOjAfsxTS8vL/bt20fPnj0B6NmzJ/v27QNg//799OjRA4VC\nQVhYGAUFBeTk5JCamkrbtm3x9vbG29ubtm3bkpqaSk5ODnq9nrCwMBQKBT169JDnKs+GQCAQOIvZ\naGXPqkuoXBR0Hh5aJR338jAVWrlyQodks2u1e/iW/nJevHgxixcvdmg+VYEZv9O5qIxWdA/4YKjl\nUaa8rmueGaubCpuripPXk+4dhj5eIuluk+CkCQ4awU2y0M6WhEbKwtW1MwEBmioXZjq9zZWZmYmv\nry+LFi3izz//pHHjxjzzzDPk5ubK/aX8/f3Jzc0FQKvVEhT095IpMDAQrVaLVquV+0aBvbq7rOtF\n44FybdxIUlISSUlJAMycObOEfYCMjAzU6jsjbVTcj2+//RYPDw9GjBjBDz/8QK9evSptQX/juEmT\nJvHSSy/RvHnzGvWtODt37uSf//wnDRo0wGazERQUxOeff05wcHC1bf7www+kpaXx0UcfOeVbTeHm\n5lbqc+MIarXaqftuBcK30kiSxJavT1CgNdH//1pTt3Hp7a2q+laQa+DCqcuoVErCOoXi4V09zRPp\nSi7SWS24qVG0DcXP+++cS3HfJKsNqUAL9f1xQ+Jo4kYaR3Wmbfde8vh8s5WdV/PJNluoZTXSwLoT\nd1ctQUGD8fL6+wh0VcoQnf5LtFqtnDt3jmeffZZmzZqxbNmyUttNCoWiRtsOlEVFNmJjY4mNjZUf\n31gMZTQaUalqtprVGW4svnvqqacAe5fcH374gWbNmlX6Ib5x3CeffCLPUZO+FcdqtZZo9PjRRx+x\ndOlSJk+eXC2bRXPbbLYK/S/um8ViuSmBxWg0OlVEdycW3xUhfCvNqZ3ZnEvLpnVcMK4BljJ9qIpv\nBp2FjFM6lCoFtcK8KDDkUWAoe2yrVq0AOHbsWNkDilW0m73V6Bp6IxnywZBfpm8ueSZ8JIk8lYXN\nny8EoHW/IfLzVyxwzAggUU+nJVhxFg/vTNTqNuj1nuj19nEmk4kdO3bwj3/8w6HX7PRfX2BgIIGB\ngTRr1gyALl26kJCQgJ+fHzk5OQQEBJCTk4Ovr104RqPRlPiHyM7ORqPRoNFoSryJWq2WVq1aodFo\nyM7OLjUeKNdGdRB6JtXTM5EkCZ1OR6NGjQB7juydd97BaDTi7u7O7Nmzadq0KStWrCAxMRG9Xs/5\n8+fp168f06dPB+xqkfPnz8fPz49WrVrJjR0nTpxIbGwsAwcOlP0+ffo0O3fuZObMmfj5+XHmzBl+\n++03nn32WS5fvozRaOS5555j1KhRVf53E9xfpJ/WcTQ5i9BWPjTtoqn2fIY8CxmndahclNRu7o3a\nreLtsuI/eG9EYbXh9acO13yzrEFS1rZWcVzyzEhKOHFoFxmnjtNx+FN4aQKxSHDCBJcs4GUzUyc3\nE28XPd7e51AqQ3BxaSnPkZ2dTVJSEnl5eQ6/bqc3Bf39/Us0ATx8+DD16tUjKiqKbdu2AbBt2zY6\nduwI2Nuab9++HUmSOHXqFJ6engQEBBAREUFaWho6nQ6dTkdaWhoREREEBATg4eHBqVOnkCSJ7du3\nExUVJc9Vlo27kXtFz6Rjx47s2LGDxx9/HICmTZuydu1aNm/ezOTJk5k1a5Z8z9GjR/n888/ZsmUL\n//vf/7h06RIZGRl8+umnrFu3jrVr1zos5Xv48GHee+89fvvtNwDi4+PZtGkTGzdu5Ouvv66RjseC\ne5e8LCP71lzGL8SN9oOr38BRn2sm47QOtauS2i0qDyQA8+bNY968eaWuKw0WfE/n4pJvpiDUi8J6\n3pUGErDXl+hdJA6sX0XtFuE06dqDPCvs1sMli0SwIY/6OVcI9HbB1/cE4IqbWxcUCiWSJHHixAkS\nEhIwm80MGFB+u5Ubqda+wLPPPsu8efOwWCzUqlWLsWPHIkkSc+bMITk5WT62CxAZGcmBAweYMGEC\nrq6ujB07FrB3jX3ssceYOnUqYFfnKzrm+/zzz7No0SJMJhMRERFERkYCMGTIkDJtVAehZ1J9PZOF\nCxfywQcfMGvWLPLy8pg4cSLnzp1DoVBgNv/dMO6hhx6SV5NhYWFcunQJrVZbws/Bgwdz9uzZCm2D\nvStygwZ/7/F+/fXX/Pzzz4C9F9u5c+fk91YgKI5Jb2X3iouo1Aq6jKxXbaGrwmtmMs8U4OJuX5FU\np2GjS64J7790SErIb+KLxduxU1VKoxWVycbx0ykoVWo6jXyavywKTpok1JJEg7ws/LCiqRUM7MJm\nK8TNLRqFwgOz2cyOHTs4c+YMoaGhREdHl/hhWhnVCiaNGjVi5syZpa6/8847pa4pFAqef/75MueJ\njo6WT4UVp0mTJsTHx5e67uPjU6aNe50iPZONGzcSGhpKfHz8TdMzOXDgAFu2bKFPnz5s3LjRoS/k\nPn368MILLwD2nM2DDz7I0qVLuXDhAsOGDZPHFW1fASiVykrzOmq1GpvNBoDNZisRmIo3YUxJSWHH\njh2sX78eDw8Phg0bVq33R3DvYrNJ7F19icJrZro/3QBPP8ePwJZFgdZE1tlCXD2vd/6twkmwli3t\n20vHjx+3FyJm6PHM0GPxUKFr5IPN1fG8rku+CYBjh1JoN+IfnHAP4KoJfMxGaudfxc/Tg4CAYCyW\ng1gsmbi6dkalCkKr1ZKYmEheXh5RUVFERkZWeZUmGj3eZu4lPZO9e/fSsGFDAPLz8+WTZStXrqz0\n3sjISNlPs9nMhg0b5Ofq1asnF3Rt3ry5RDApTn5+Pn5+fnh4eHDmzBkOHDjgkN+C+48jiZlknSsk\nYkBtAhtUr3O4LttE1h+FuHmpqB3mXeUjxf3797eriFolvM/n45mhxxjgRl5TvyoFEgBFVj7X8q7i\n2b03F5q1R2uRqF2QQ33dVWoHaggMDMRmO4vFchq1ujkqVSNOnDjB2rVrMZlMDBgwgPbt2zu13Xdn\nnIu9j7nb9UyKciaSJOHr6yufInv55ZeZOHEin332GTExMZW+DyEhIbz22msMHjwYPz+/Ejafeuop\nRo8eTWxsLL179y63JXyvXr34/vvv6dmzJ02aNKF9+/aV2hXcf5w/eI0/9uTQpHMAjSKrV+Guu2ri\n6rlC3HxUhDTzdqrzb3x8PEqjFe/r9SMFdT0xBrk7lB8pjs1sBqPErhBvTKEP42k1Uz8vC383FzR1\n6qBSqbBaMzGZfkeprDy/eTQAACAASURBVIMkteLXX3+Vt7Uq+ttyBKFnIvRMKuR+903omdxabrZv\nV/8q5Lfv/iK4kSddn6xfpU7AN/pWFEjcfdTUaua8FoktKx9NugkUCnQNfbD4VH3LLSgoiN82JZPV\nNJxCtZJgfR5Bhjw0AQF4eXmhUCiw2XQYDIkoFK7k5bUjOXkHOp2ODh06EBERgVJZekWVUmBkWDPH\n2tCLbS6BQHBfUHjNzJ6Vl/D0d6HjY6HVailfI4FEknBPL0Rz0cCRMyfJC/NzKpBYJdh+7iJ/tmyL\nTWGjUV4G9SQjdevUwdvbG4VCgSSZMRp/A2z88UcQ//vfz0iSxKBBg2jfvn2ZgeSc0cKblx0/Giy2\nuQSVIvRMBHc7FpON3SsuYrNKdH28Hq4ezhcr10QgUVhteP2lwzXPTOKRvcz9+T98/+iDVZ7nmhWO\nGGwUKN3R6POoVZCLRuMvBxGw14CZTHuw2a6RmurG0aNpNGnShIceegg3t7I7F+dbbbx6KReXKrw0\nEUwElSL0TAR3M5JNYn/CZXIzjXR9vB4+Qc63fs+/aiT7nL5aMrsqvQXv8/koTTYKQr3o0LY/3//D\n8XoOsK9GzpjhvFlCZbFQv/AaIYUmgrwDkHxKdlA3m49gtV4kLc3CyZOF9OzZU+55WPbcElOv5HHJ\nbGVxfcdzSiKYCASCe5ojSVlcOaGjTZ9a1G7mvFTF1Yt5fweSZl5ObZO55hjxuqC7LmTli8XLhUuX\nLgEQGuqYCFWOFY4YJQolBf4GHUF5V/HM0dFUVYfcUA+KJ8GNxj+wWo9y5oyJ9HQvhg4diL9/xQFi\nwdUCUgpMTAvxob2n4/3ERDARCAT3LGf353Bmt5bGHf1p0rniguCKyM8ykn3+mvOBRJLwvFyI+1UD\nZi81uoY+spBV0VH9v/76q8IpLBKcNsFfFglXm40GuqtIF89xbv9uhg8cg01nxFas4j47+zhubmlk\nZlrQ65vxyCOdKu1FuDHPwLfaQob7ezDM3/GCRRDBRCAQ3KOkn9aR9nMGIc28aPNwiNOtUvIyjWj/\n1OMb5IF/Q9cqBxKF2Yb3n/m4FFgwBLlTWNezxLHf7t27VzpHthWOGqX/z957h1lVnnv/n7X22r3v\nPb0Bw9ARQUCQIhY0thOJJUajJpYkb+KrUePJq+ecJOaXnMSTWKIxHlOMHk9iNJhIYjeKqEhHOgLD\nMDC97d5Xe35/bBhFQAZsaPbnuryEzVrrudfaM/vez92+5IREKJ+hPBOjf8Nq9ix/jc/d+G9IfXm0\ngA0kCdM0efvtZdTXt5NMgt0+lxkzhh12ja15jR/1JDnBaeWWiiPfwZWcSYkSJT5zJHryrP5LcebW\niR+gcivRnSfWkccZUGg6oZpo7MhmvVkyGt7dKSRTkG7woAYPzNfsm4l3MLS9u5F2HWymwbBUhKAF\nOtevYuerLzL36m8SdIXASKJ5bcTjcVateoXp0wvoupVQ6EwcDv9h7RzQDW7uTBCyyPy8xo/1KBxv\nqTT4GOTRRx9l4cKFQHGSbk9Pz2HPee9xt9xyy5CHJR4ty5Yt48orr/zQr3vRRRexYcOGD/26Jf45\nyCU1lv2pA8Uuc9KXjm7mlhCCWEeOWEced8hKxUg3suXIrmOP5PG1JBGyRLLJf1BHAsVhr9u3b3/P\n+tCjw9KsoF0ThPIpGuM91HicZPa0sP3VFxl32lnUHTcFa1JFIFjXtoPnn/8rJ5ygoih2AoGzh+RI\nVFNwS2eCpGFyd62f4Ls6+LPZ7JDvt7QzOQZ59wf0woULGTt27GHFsd573J133vmR2ngsYRjGMaFL\nU+KTRysYLH+8A71gcvJXGw6qbHg4hBBE23Kk+lQ8ZTbCw51HFiIzBa6uDI5IAc1jLeqPvM+IlX3D\nVvflTHImbFVhwACnoTM8NUBAkQlVVZLu62HNk3+komkMk845H4D8QIK/7VxLV6qHc8/143LJOByn\nIcuHD1UJIbijL8XGvM5/1fgY43jneaVSKWKxGE1NTUO67ZIz2cuyZcv200/5MAiHw8yadfja8c+C\nnsm7ueeeew6wUZIkLrroIqZMmcKyZctIJBLcddddzJgxg1wux80338zWrVtpamoin39HRei1117j\nzjvvRFVVhg0bxj333IPb7WbGjBksWLCAJUuW8K1vfYvzzz//iGws8dnDNAWr/9JFsrfAzC/V4a9y\nHPE1hBBEdudID6j4Ku0E6x1H5EgkzcSzO4U1q5Mrd5Crdh12LMo+PRNTwB4NdmoCBFRm44QKaYKB\nYt+Ils+x9JEHsbnczLrya0iyzM6t23hz9XIki+D88yux2/PY7Scjy0MrNvhjLMeiRJ5rwy7O8DoG\nn0E8HieVSh3R1OBSmOsT5tOuZ3IwDmbjPnRd59lnn+WHP/whd999N1AM6zmdTl577TW+853vsHHj\nRqAolHbvvffyxBNP8OKLL3L88cfzm9/8ZvBawWCQF198seRISiCEYOMLvfTuzDDp7MqjKgEWpqC/\nJUt6QMVfc+SOxJLR8O+Io+R10g0ecjWHF7KComzC3b/9PcvzsEMDj1agMd5FDRo11dV4vV4QghWP\nPUwmGmH2V76BKVt48cUXWbz0dcpdXi65pBG7PYfNNguLpWJI9j6TyHF3f5rTPXb+T7gowSGEIBKJ\nkEql8Hg8RyRTXNqZ7GUoO4iPgk+7nsmR2njOOecAMGnSJDo6OgBYuXIlV199NVCUMN03knvt2rXs\n2LFj0FlomsbUqVMH1yk5kRL72PFmlNY1cZpmhmicduQlwKYp6N+ZIZfQCdY7jnhXY4vkcXdmMK0y\nqUYfhnNoH62qgOWdfeQD5dgQ1KUi+I0CwWAQl8s16MzeXvwinZs3MGXBF4lpBs8uXIhhGJw2fBLD\np6qoogubbTqKUjekdV9LF/hhT4oTXVb+s9qHLEkYhsHAwACFQoFAwIbD0UuhsAb46pCuWXImnyKO\ndT2Todi4T8vk3esdCiEEJ5988mAI8L0cC0M6S3zytKyMsnVxP3UTfUw8o/yIzzcNQW9zmkLKIDzM\nibfiCDrkTYGrM4MjOrT8yD6EgA69WKlV8IVRejsYbgOv00mwonq/HGBP8zY2PreI6snTaM1qtC9Z\nQlVVFfMnzcBl307W2YXfPxNNGz4kk9dmVW7tSjDWoXBXrR+bLKHrOv39bShKL+FwAkmKo+sgSUMX\nliuFuT5hPkt6Joez8VDMmDGDRYsWAbBt27aiSBAwdepUVq9eTWtrK1AMy7W0tAzZlhKffVrfirPx\nxT6qx3qYev6Ry+4amknPtjSFtEFZo+uIHImsGvh2JnBEC+QqHKQavUNyJHEDVuSLSXaHqTEi0UN5\nKkJVWRllZWX7OZJUfy9v/s9vkOsa2W1a6erqYtasWZx37jk43NvJ+ruwKhPw+6cNyeZteY2bOhPU\nWC3cVxvASY5cbjPZ7Iv4/atwu/dgsUhYlOOJKQtYZ5wx5OdR2pl8wnza9UzefPPN/UJPv/71rw9p\n46G48sorufnmm5k3bx6jRo1i0qRJQLGA4Z577uG6665DVYsKct/97ncZOXLkYa9Z4rNP28YE65/p\noXKkm+kX1BzxnCy9YNKzPY2hmVQ0uXEFhl75paRUPHvSICA13IvmP/zYkcLenpFOHWyY1GXiePJp\nvB4PgdpJB0zuzaeSvPy7X5Esr0NzeqguK+Pkk0/G5/OiZ1egubtwaGORXccNyeY2Vef/dsTxyHBv\n1QBO/S3y5r6iIzeyPBHJOoxOw0ubLigICXdSHfIzKemZHAOhkn92zZCjpaRncnR8FmzrfDvJ6ie7\nCA9zMevSuiPWW1dzBr3b0wgTKka5cXgP/726rKyMgf5+HH05nD05DMdeWV37+5elm6LYdLhTBQNB\nhZbDn4zgsCqEQiGefPJJoCgCN2hfPsfffvvfxKxOLFYbM2bM2PulrjgB2DD24I02YdRMBVk67HPr\nLqS4tiNNzjR5oGINDdYcQvjIZgMIUYUjOIwO00KnDiYQ6s8zbG2UsAz11w1t1/OBdyamaXLrrbcS\nCoW49dZb6evr4xe/+AWpVIrGxkauv/56FEVB0zTuv/9+du3ahdfr5cYbb6Siolh18NRTT7F48WJk\nWeaqq65i8uTJAKxfv56HH34Y0zQ5/fTTWbBgAcAh1yhRosRnn57mNKv/0kWw1slJXzpyR1JI6/Tu\nyCDJUDXWg801tB4loRl4WlPYUhqFoI1MrQfeZzdkCujSYZcGOQF+oVOW6Mdu6vgDfrxeL5Ik8d3v\nfhd4x5n09/fz/FN/IW/3UB7wM//sc/B6vQhhoqorMIw2fANNWJVx5N6ns9800xhGB1G1k+t6RpAw\nHNxf2UKjs4lUyks6A4bHT8zpY0CVkBFURQo0vNGPJ6NRmABRT4z6Q66wPx/4E3hfojWXywHwhz/8\ngXPPPZfZs2fzm9/8hsWLF3PmmWeyePFi3G43v/zlL3nzzTf54x//yE033URHRwfLli3j7rvvJhaL\n8aMf/Yh7770XgIceeoj/+I//IBwOc9tttzFt2jTq6uoOuUaJj4aSnkmJY4W+XRlW/rkTf6WDWZcd\neXd7LqHRtzODxSpTOdqN1TE0R2LJ6Ygde7DmNTK1bgph+yHLfo29yfXdGuQFeCWT4dkEjlwKp8NB\nMFiG1fpOSG1fGFnXdd566y3Wr1+PpBuMG1bDnHP+Za+41TuOxJUfhzdWR2LsgRVnppnCMNoxjHZM\nM0bWtPCd/ml0GS5+WWNnomMWvf39RCUr8VCQrGTBagqGx1LUvzqAI2aSDsTpqOnETBrIuY9panAk\nEuGtt97iggsu4JlnnkEIwZYtW/j2t78NFHUwFi5cyJlnnsmaNWu4+OKLAZg5cya///3vEUKwevVq\nZs2ahdVqpaKigqqqKnbu3AlAVVUVlZWVQLF0d/Xq1dTW1h5yjRIfDSU9kxLHApG2LCue6MATtjHr\ny/VDdgT7yERV+ndlsTpkKsd4UIa4o9lX9otNITnSh+E+eG5F3xvO2q0VS34DsmC4noV4BIssEwyH\n9yv33cdLL71EV1cXTz75JMlkEiU+wHGjm5h+7ucB9jqS5RhGO1bleALdlWg+ZTC8ZppJEond5HLb\nECIOgCyHyMuT+U5/GdtVkztr/Yy1CDbFMkQ95eiygkPLU9e1i7rVKbwJP5q1QP/IAeR6N6HgJOzB\nMFb30Pt1PpAzeeSRR7j88ssHdyWpVAqXyzVYjRAKhQarlKLR6GCvg8ViweVykUqliEajjBo1avCa\n7z5n3/H7/tzc3Py+a5QoUeKzSaQty7I/deD0WZl9eT32IYam9rFv8q/dY6FilBvLEKquMAXujgz2\nWLHs1zalASMZP+AwTUCbVuxe16CYZ5A1zHgETVVxuVwEg8GDjvzJ5/M88sgjyLKM027DuWc7jWPG\nMu3zFwEghLHXkXRgtU7BnR6OpKfIhguo6iYMowMhEuTzIMthFGUKFksdCdPJdR1xdqk6P61041U1\nlttcCJcDV2KAyj3bqdxtEoxWIZk+tPEKykm1VLrHH9FzfTdH7UzWrl2L3++nsbGRLVu2HLUBHyUv\nv/wyL7/8MgB33HHHAd2cvb29x0yu5Vix42D8M9tmt9uPqAt4H4qiHNV5HwefNtvat0Z5848deIJ2\nzrluIp5DDEw8GEIIunZGie7J4S930TilCssQBjaKrIrY1AlpFUaEsY0IY7VaKbO9Y5tmmmxL5tmW\nyqGaghqnlQk+J2Y8Snd3DxaLhREjRhy0EVkIwYYNG3j11VcRQrD5rbXM8irUNI3mvOtvwWK1YpoF\n+vufxTC6CATm4nBUk4m/Re/wbnQlAzrY7TU4nZPw+UYDxckXXeksX9u6B1mycLvPiqG46Af86RjV\nA+1U6V5su+oREQ1row/vucNRyo9Mu+RgHPVv4vbt21mzZg3r1q1DVVVyuRyPPPII2Wx2cPBeNBod\nbHYLhUJEIhHC4TCGYZDNZvF6vYOv7+Pd57z79UgkQigUwuv1HnKN9zJ//vzBuTfAAdUOhULhmBgQ\n+M9eMXW0fBy2FQqFo6p8+ixUTH0SvNe2js1J1izqwldhZ/aXa8kbKfIDqSFdSwhBZE+OdH9xYGOg\nwUpsCCPkrfECnvYMQoLMCC+aD4hEBm3T987Q2q2BDpRbYKQDXEaWvp3tqKqK0+kkFAoNdpW/m0gk\nwtKlS+nt7aW6upoXFj3FGTVBvOEqZl5xLbFEAtPMUigsQYgUslxNIvEW8XgGXBKKGcZqHYei1CJJ\nTvJZHZGO0Nu6k92xBA9XjOasgJ96uw2LaRDIJakxclS6gkjd1fB2CuExkc6uRG9yE5cyMJA55POo\nqakZ0vM+amdy2WWXcdlllwGwZcsWnn76aW644QbuvvtuVqxYwezZs1myZAnTphXLyqZOncqSJUsY\nPXo0K1asYMKECUiSxLRp07jvvvs477zziMVidHd309TUhBCC7u5u+vr6CIVCLFu2jBtuuAFJkpgw\nYcJB1yhRosRnh9Y1MdY/10u4oVi1dSQ5EtMUDLRkycY1/NV2ArVDmLNlClzde9UQXQqZYR5M2ztr\naqZJi/oeJ2IFnyxIpVJ0x+PIskw4HMbtdh9weVVVWbt2LZs3b8Zut3PKKadQ6fOgr34NSZI45Rs3\nYHU60bQWNG0dxVXANHuR5UrcyZF4BoIkR1eQTydIR/aQH+gjH49iSjJttU30jZ3BeVYFydCpzMQI\nFDKUBYO4WpyI5V2gmzA1gDQ9iHSY4gUhBOnMMuDiIT3zDz1G8OUvf5lf/OIXPP7444wYMYLTTjsN\ngNNOO43777+f66+/Ho/Hw4033ghAfX09J510EjfffDOyLHPNNdcMNu9cffXV/Od//iemaXLqqacO\nNvMdao3PCvsGH1588cU88cQTzJs377Aj6N973C233MLXv/51Ro8e/ZHZuWzZMq6++mrq6+tRVZXz\nzz+fm2++ecjnt7e3s2bNGr7whS98ZDaW+PQhhGDH0ghbXx2gapSbEy+qPaLyX0M36WvOUEgbhBqc\n+CoPHxaTVQPPnjRKdq8aYrUL9pbd6vtyIp0xVPMdJ+K3FB1Eb390v93Ie6MdQghaW1tZtmwZ2WyW\ncePGMX36dNREjFd+dRfpTIrciHIUVwu5XDvFzAvIcgWK0ogsV2OkCvh7VGJmgt1LnkPs3ZFLoQpS\nx8+i11uOKUlkVI26fIq6TAyb1UoZASx/jyIGVKh3Ip1ShhQcQoOl2kZv7y/JZFYwZvTQnEmpafEY\nb1q86KKLBkfJvx9DPe7DtG3ZsmU8+OCDPProo2SzWc444wwefPBBjjvu8B25uq6zatWqwfOHiq7r\ng3mSUtPi0XEs2xYOh1nyp7fZuSJK/XE+Tvh89RF1tuuqSe+ONFrepHyEC3f48B+c1ngBd0cGSUC6\n3o0WKDqffeGsfYn1GqeVBqHhtxQdRDKZJJFIIMvyAYMZ95FMJnnzzTdpb28nHA4zd+5cKioqSPZ2\nsPnlR6gYHcQ3zI3H46A43coEnFgts1FjBbL9veQG+ihXyqj1jWBbYjNyyIcor6HHW0a3sCAQbM+r\nvJXO8n+tKhV6AbfNReAtDWlnFjwK0slhGOk+7O7MMLJEIo8SiT6BkOuRuIrTT/ny+56zj2M3s/ox\nE4vFBkd2fFjYbLbDTgGGz4aeicvlYtKkSbS2tjJq1Chuu+02Nm7ciMVi4Qc/+AGzZ8/miSee4Pnn\nnyeTyWCaJoVCgZ07d3LGGWdw8cUXc8011/CTn/yE5cuXo6oqX/nKV7jiiitYtmwZP//5z/H7/ezc\nuZOlS5d+sDemxDGJaQpe/9NOdq6I0nhikEmfqziiWVtqzqB3RxpTF1SOdh9eGMvYK2IVLaA7LaSH\nFbvZD5oTscLICj8DAwOoqkokEkHTtENWapmmycaNG1m7di2yLHPSSScxfvwohOgmnfgHkqOfyV9o\nQpgKzzz7FoZhsOD8KZiam1Szh3xkKQiBpCg4wxVUKsPIO2SUifPYrUG/AbIACwb39iYAwfeVHJWG\nIBix43ozAbKENDMEJ/iRDlO9JoQgkfgHXQOvUpAmYlgfwydbqNO3v+9576bkTD5h9umZ/O1vfyMU\nChGLxfj9738PFPVMHnnkkf12HF/96le56aabALj++usH9Uzee9w+9umZvPDCC/j9fi699FJeeOEF\nzjrrrEE9k1tvvZUf//jH/PGPf+TGG28c1DOprq4mkzl0Yu7dRKNR3nrrLW688UYeeeQRJEnilVde\nYefOnVx66aWD4+03bdrEyy+/TDAY3G9nA8WGV6/Xy3PPPUehUGDBggXMmzdv8LzFixfT0NDwwR96\niWMOQzNZ81QXXdvSjD05zNh5ZUfkSPIpnb7mDEjFrna7+/0/2ixZHc+eFLJqkqtwkqtyoiHRdpCc\niH+vnzBNk3g8TjKZRJZlysrKDrpr7e3t5Y033tjb9tDA9On1KEo/hcJWQKDmVHp3xKgeczqK4eVz\ns93YQgnyAzKJtzVsXgg0jsZZVoE9EMKa1OgaUNlS5SaeByvQqAjeyub4eV+aEYrEbUqOKkMmvNzA\nOpCGcV6kk0JInvd/DroJffEu+hLtqNJMfJapjNK3Uac9j4sMJjJwyZDeg5Iz2ctQdhAfBZ92PZNV\nq1Zx5plnIssy1113HWPGjOFnP/sZV111FQBNTU3U1dWxa9cuAE4++eRD3uNrr73G22+/PThpOJVK\n0draitVqZfLkySVH8hmlkNVZ8Xgn0Y4cJ10wgqqJR1b6m+pTibbnUOwylaMO09UuBI6+PM6ebFF7\nZKSPnNs6GM46mBOBYlXftm3byOfzuN1ugsHgAYMZC4UCq1atYvfubYwc6Wb+/DpstgQQRwgPRqGO\nDYteQyo4aRh/HPGNO/CP07CHBLs2JRlefxYNp1RisRfv3xDQrgnaJIVMtR2nJBhnhQqL4J7+NAvj\nOWYqgm8recoGJPwrCsgVDqRLqpAqD67HIgRkNYjnIJoskDXteIWLRq1Avf5n3OQwkdhtVPJk53D+\nt8XLpvkHvdQBlJzJp4hjUc/kxBNPPKKcx+HyDz/+8Y8P6LZftmzZMZHbKvHhk46qLHusnVxS58SL\na5g4t3bI+RzTFER2Z8lENJwBhfIRbmTl0LsZWTVwt6WxZnQKfhuxWje7hUxbFgwO7kRM0ySRSJBK\npbBarZSXlx8gZSuEYPfubXR3v0V9veCEE7xIUnHaikUeh572ENvVRaqzndqqovCb4haEJoNkgX//\n9z/z5z+vpLPz60Cxe75dKyb9VSTCusk4QycUtJM2TW7qTLAyq/EFRecKSadsrY4nbUWcUQmjDsyL\n6CYk8xDPScSzoAkZtxmjQV1OrdGCTxgIoMOs4OGeEfyu2UtcszK+0sVVJwWG9F5AyZl84syePZtr\nr72Wa6+9djDM9W4Op2dy7rnnHnDcu5k8eTLf+973iEaj+P1+Fi1aNKhqeCj26ZmccMIJLFmyhK6u\nriGLY0HRwTz11FPMmTOHlpYWOjs7GTlyJJs2bdrvOI/Hs18Ybd68eTz66KPMnj0bq9VKS0sL1dXV\nQ163xKeLSHuOFY8X1TbnXNFAuH7ojXN6waRvZwY1axCoceCvsb9vWMwWL+DqyCAJQX+9m2a3nXZV\nwgSqLDDCCr73bGhyudygDpDH42HkyJH7/X6aZpZ0egeZzA4qK00qKy2YpgerdThG1ke2K0a6uwNT\nLRR769JpgqPGEWj0oIt1gILdfjovvvhD/H4/ObMYYuvU9zo3WTCxM0XYNEmN8tOu6Xy7I0GHZnC9\nVePsuEZoo8A6MUj49JFEEsUeGiEgo0IiL5HIS6QKABJuPcLI/Apq2IGf4rPqFgH+0l/Dg9s99BZs\njAg5+OK0IDMbfKzvSvPUpgFuPm9o70nJmXzCfNr1TA7GV77yFW677TZOP/10LBYL99xzD3b7gaGL\ncePGIcsy8+fP54tf/CLXXnst7e3tnHXWWQghCIVCg/mjEp8tOt9Osuapbpw+hVmX1uMZQtXVPnJJ\njf6WLEKIog5J8NCJdkk3cXVksCdUEl4rm6o8dAgZdKhWik7E857ctGEYxGIxstlsseu9rAy73Y7F\nYsE0sxhGO7rehhARFKW4e4lGqwh7R6P2Joh1daDnmpFkGdnppmXdWjLpFKd+80YcwQi6vhpZDmOz\nzUGWnazYtJVWDd4oTqWiWoHhVqjszGDPaCRH+Vmb07ilI44pBLdbVWbt0PG6PMiXhJCcFgpAf1oi\nkS86Ed0sOguv2su4zDqqpRb8SrHkuFs3eSbexK93lNOWtVHltXHmxCBnjAlimCZ/3RThm3/ZQUEX\nHFd9YL/MIZ91qTT4kw+f/LN3mR8tpdLgo+OTtE0IQcvKGJte6iNU52TmJbX7JcvfzzYhBMneArH2\nPFaHTEWTG6vz0PkRa0LF3ZEmI0lsrPHSbrUAErV7nYjrPU5ECEEmkyEWiyGEwO/34/P5ECKLYXQg\nSd2oag8AiYSgtbWAMCoZGa5Dj/ahpZIgSTjD5bir6xjo7GDVwj/gKavglK9/C8W9HcPowmIZgdU6\njZiw0KpBxIBCNsMYn5sGKzhlUNIavpYkuXIHj9klfjqQokoS/EBTmTBgRZlcRtpmJZGXSOYlslrR\neSgY+PJdVKXWUSV34bPlkSTo03Msjvp5qHUizSkXQafC6aMCnDEmxJhyB0taEvxl4wCbujPYFYkz\nx4S4cFIZo8tdH30HfIkSJUocCcIUbHypj12rYtSM8zJtQfWQmxFNY29+JKrhClgpa3Qdsv9EMkxc\nnVn0lMbqMjetHhsSEvV7nYjjIEtqmkY0GqVQKGC32wgGFSSpnXy+EyGKoS1ZDtDaamfTpgiS4WRc\nWRleM08uvRN7IER4/PG4q2qRbTa2/ONZNj3/dyqaxjDnqssxpbUYRgpFmUpUaqK1IJE0wQb85e47\nePWxR2l+e+vemxW4O9IkrRK3JrM8Jwkmyya3ZWSc5bXsKrOSToBAQkLgVnRqzR6C/aspl3vxOwpI\nToiZ8NQAPLx7nPw2zwAAIABJREFULJsSZXhsMvOaAlw3OsgJdV760yp/2xzh1md2Ecvp1Pnt3DC3\nlnPGhfA5FDAN7O1vQE2pmqvEh0RJz6TEB0XNG6x9qoue5gxNM4NMPGPoPSSFjE7/rix63iRQ68Bf\nfej8iJJSkbuybPLYaRnmRkhQp0g0HsKJvJNgT2K1pgmHM8hyH7pezD/KchhZPo63N0dYs24HEoKR\nPhf1PidOvxd3VS3uylqUvUl509BZ9cSj7Fr5JsOnzWTqRaegG29gmlaiytns0X1kBTglGG+DGgWu\n+9OjWN91O47eLG+rOt+zSvgUB/+fxUal7CBql8EAlywod6o4k234I+sIWSIEHAUkN6SFixeTAX7X\nEmZNtBqbxWD2cC8/nVPJzGE+LLLE8t1J/t/Tu1ixJ4kkwazhPi6YVM6JDV5kScISb8W1cRFK899Y\nLpKcNmNozqQU5iqFud6Xf3bbSmGuD06iN8/KhZ1k4xqTPldJ4/RDl7+/27bBsFZHHosiUdboOnQj\noiGw9GTZJWSa/Q5MGWoUiZF7w0bvRQhBOp0gm21DUSI4HDEkSQUkZLkSi6UWoYXYtn4r67c3k9d0\nKp12Jg6rpaxh+H4OZB9aPsfShx+kZ8fbHPe5cxl1ajWqvode6XjaRRMqMj65uDuqtByorZXXBKm2\nAluQUBU7fqkYwrNZBH6HwKtoWGO7cUY24xf9BJx5ZAmyONmoD+PBbRaW9ASwSCbHV0Y4e/woThk9\nDLfNQn9a5ektEf6+JUJfWqPMrfD5CWX8y4QwlV4bkprBsesFHNv/wubEVp7xuPmHx0dKMtn0lf0L\nZw5FaWdSokSJj4z2zUnWPd2N1W5h7pUNhBuG5pgNzWSgNUsuoeMMKJQNdx08JCYEekKlPSvY5XOh\nS8Vv+yNt0gE5keLhBXK53WhaO4oSxes1AQWLpRqLpRb0ENneftpbmtnc9gYJVcfnsHPS8ccxdfZc\nkrn8Qe3NxmMs+c19JHu7OenKyygfU6Bdl2lnAaqwEpKh0QYh+R0nUtAhmZd49IlFHD95Dt7yCrAq\nqMKg3yww3CtR55UxB9qxtW/Bq3cTdOaRnZAXDlarTTy6J8SzbVYkYHRwJ1+b0sI5x51CZWAahilY\n1Zbk71siLN2VwBBwYoOXm+bVMXu4H0UW2LpX41zzFLs7FvOCw8JzPh99rkqcsoNZlbM5terUob3R\nlJxJiRIlPgJMQ7D5H320rIoRbnBy4oW1OLxD+7jJJTT6d2UxDUFomBNvue2AsJYQkCwYtGdMuuw2\n8EGNJBjhlHG/x4kUpWw70fUOTHOg2P9hsSFJ9dhsw8AMkuvtJd3dQbx3DTsTGbqzBRw2G3NOmsnY\nCRORZRmb2wMHcSYDe3ax9OEH0fJ5Tvv2V0iHrawWJ1LARUCG420QshSdx0BGIlmAVF6iYBTvafbc\n85DzKs+pcdaYKudYDa50FrB1bcGrdhJwZLHYoGC1sU4byeMdZSzcpQASI/xdXDJmBac2GTRVfwmX\naxK9KZWHVnbzzNYIvSmNgEPhSydUcP6EMuoCdpRYC861D9PX+jR/lzI87/GwqyqIBZnpZdO5pvo0\nZpbPxGE5eOPjoSg5kxIlSnyo5FM6K5/sJNqeY+SMIBPnVwxpWKMwBe3bBuhtzWB1yFSN8WB7j6Ki\nKaBXE7TnTWIWCzarRJNuUOO14NgreiWEiWkOYBhdGEYnQhT1T3TdharWYbM14HJWUxjoI9LdRrZv\nNYZh0JbXaY0lERT7syZPnozNduiSZSEEO15fzPqnn8QVCnHcTVfxtlJHHi8+DEbJYNElohnYU5BQ\n9zoPRRZ4DZ3KPSkcbUn+MNrgf/1OqnWd3xodDE9tIWDPYlEEqsXGFn0ET3ZU8Fizgi4kGvwaF45+\nnakVrzEsVEF52dXU1J3F02tb+fuWFlbuSWIKmF7v5fo5tcwZ4cehxXC2/JnEkkW8lG/neY+brSEb\nEgEm+MdzQ8185lbMxWfz7X+TxtDnFZacSYkSJT40BvZkWfWXTvSCyfQLaqib6Dv8SRSHNA7syqJm\nDbzlNoL1zv0ckCqgU4M2VZCXJLwGTM7lKQvasNgUhFDR9Z69DqQLUAEZ0wyRy5VTKARwOsM4hU52\ndwfR3g0IXUey2hiwutjW300ul2fEiBHMmDEDn+/97VZzWVY+/j90bFpP3YILEFNms1v34MrqBAwJ\nVbPSIYr2W2WBxw5VdgNfNIdjeQR6C2ydoPDz6QoNop/HjT3MEt3IkoHqsLJNb2BRTzX/u10hb0C1\nz8oFE6IcH3yCSsdGnM5xlJf9P2LaZP6wMcrzf15Kf1qlzK1wxbRK/mV8mFqXgX3Pq+ReXsSr8Y28\n4HbwltsB7iBjPI18vWY+J1eeTLmj/J0bEwJLYjeOjjexdyzF1rUK/qNnSO9hyZkcg3wa9UwKhQLz\n58/n+9///ke2XoljFyEEzcujbF3cjytgZc7lDfgqDj9jSwhBortAvCuPbJEYOaUKQ8nv/bdieWu7\nBr2GQCBRkdOZmingK7Oh+/MYRitavgvTHAAEYMNiqcYwyonHbeg6WC0y9nSMzPaVJNUCkqLgqqim\nT4dNO5pJpVJUVlYyf/4ZQ5q4EG3fw7LH/gdp1Ak0/Os1YDqwxMCOBMjIVihzC7x2gccusMkCaXcW\n8UoM+grkqgVvnhklILr4m9GFGwNT2Nmt1vFUrIqHt9tIa4KwS+FfJvo5qWYbYekhdL0Lh2MsHv9/\nsap7DM++EGV919vIEswbVcZZo32c1ODE3bWcwpo7WTqwgpecCqscDsxwgBGOar5a9znmVc6jxvVO\n74ikprF3rcDevhR7x5soqeJUAt3XQG70AobatlhyJscgV1555eCfFy5cyNixYw/rTN573J133vmR\n2riPfbO5crkcn/vc5zj77LOZPn36x7J2iWODbEJj7aJuBvZkqRnr4YTPVw9JFVHNGQy0ZlEzBq6g\nlfAwJ8EqD539ebo06NAhK8BqCpqSeUaks1jKEuSrB8iY3Yh8sWVckgIoylgslmp03Uc8nqBQKCCZ\nBvR2ko/2I8kyzvJK3NV19GTyLHnrLeLxOOFwmLPOOov6+vr3LVU2TOhLqGza3E7CcFL2pduRJAmh\nCWzWLOUuKz6nBY8N9knMC1NAcxqxNo6I5rDW9ZM/tZsaSz9fNXWSwkqHXsMrbWX8us1JwpDx2i2c\nOjrA/FEehruXEI89hq73YrGNJqL8jKd21rC4OU5Wa6M+YOf/zKrm7DFBxlva6F/7a5atfZ1/2GCl\n04ER8lJnC3NJzRmcUn0qwz3D9xmGdWDLXuexFFvPeiShY1pdFGpmkp50FYX6ORi+4mDVkjM5Qkp6\nJh9Mz8TpdDJhwgS6u7sxTZO5c+fy97//nXA4vN/f165dy3333YeqqgSDQe6//37Ky8u566676Ozs\npK2tjc7OTq699lquueaaD/YGlPjIad+UYMNzvQgBJ3y+iobj/YftH3nvbqR8pAtX0EbUhB39Sdqz\nxT1GSDcYlxygjHZUX5RcMA6YYChYLFVYLNXIcjWy7ELTNCJ9A+TVXjANzN5ORDyCs6wCz6SpOMur\n6OzpYemylUQiEQKBAPPnz2fEiBEHtVc3IbU3UZ4sSGRUgAzC24DFKqFZNcqsuxnhsuOw1e1/f7oJ\nb6cw10ZxWPpw1LXjnNSHIhtEsfGsWktzvIK/73TSmzWxS5DfuZKff/tSptUpZFKLiET/zEA2So4T\nWRf9Lv/Y6aEtXsBpjXPaqADnjQsxVdmFtushVry0mP9WNFY6HegBJzXWABfXnMHJ1afS6GlEkiTk\nXAR789+LDqRzGZZcBAA1PI708VdRqJuDWjkZLEMfa/NeSs7kE+azomcSj8dpbW1l5syZyLLMhRde\nyF//+le+9rWv8cYbbzB+/HjC4TAnnngiTz/9NJIk8dhjj/HAAw/wgx/8AICdO3eycOFCMpkMc+fO\n5corr8RqPYzAUYlPBDVnsOH5Xjo2JwnVOZn2hWrcQ5CDfe9uxNHgpAuZrhzkBVgllXojQq3ajNXe\ngQjrZAFJCqJYRu91IGVIkgUhBPlknHikG82iIIRARPuwmzqe2npcU2cgK1ba2tpY99xz9PX14fV6\nOeWUU2hqatpvhLxmFJ1HMi+RKkhkNWBvh7lCgVw2gVFZhlAK1MtvU29RcdqPR5LeCeWJgoHYEMey\nvR1PuBPn8R0odhUVhWf0Wv7cU8HGPS7SGROrLHFy2M53G92ccGIVFmcjseiT7Nn9JDmtwNbEApZ3\nz2VdV7HoYFK1wuVTKzg72IXY80dWrHyV71kKrHI60H0KtbYyLqw8lbk1p9PkbUISOrbeDdi33Yu9\nfSm2gS0AGI4ghbrZFOrmUKibjekq+9B+JkrOZC8lPZOj1zOZP38+ra2tXHvttVRUVABwySWXcPXV\nV/O1r32Nxx9/nC9+8YsAdHd3881vfpO+vj5UVd1Po+T000/Hbrdjt9spKyujv79/yHOBSnx89Ldm\nWPu3bvJpnXGnlDF6ThhZPsxuxBQkeoq7EWGVMEZ5aLUrxDUAQUhKMJxmwqIVWTGx4ESW65Fs1Vgs\nlYMf2kIItHSSVHcXGVVFePwgW7Dk0nhcLrwTjsditw/qrq9bt45IJILX62Xu3LmMGTMGJJmMCumC\nRFqFTOGdMl1ZEnhsUOsXYNHYOdBHobwaKeCjzrKFemkPLvtkLJZ3fi7NZAFzVSvebBvuym5sU5MI\nAd1SOQ/Ga/lTsw8tYSJLMK3ezZnT/ZwrJPwWmYHhOX76ixM45xwfnYUmVvV9jZVdI8hoUOm1cuXU\nIBdWD+Dt/SvLdrzKDy15VjvsmF6ZWqWSC6tPY0716ZzUeBLxPZuKO4/2X2LvXI6spRGSBbXieJLT\nvk2hfg5a2XiQhjbC5kgpOZNPEceynklbW9ug85k4cSK1tbWUl5ezdOlS1q9fz/333w/A9773Pb7+\n9a9z5plnsmzZMu6+++7Ba717srDFYsEwjKO+txIfPoZusvXVAXYuj+IJ25h31TCCtYcfG59LakT2\n5IgrMpnhLpJOKyYSLjPFCFooZzcOw8CRDWHXx2N4ajF8gcHuPiEEhUSMbG836f5eDLcXKVCGZHdh\nlwTBsgrse6cUmKbJjh07WL9+PfF4HL/fz8mnzCdcM4KMKrO1TyKrFudaQbG73GMXVNqK/3fbIGHC\ntlSOpOQEn586bSN11maC3jEYxhlIkhVhmhSa23Ht3knQ1Yejuti/kjO8rLdM4j9agmzabSLpgoBf\n4fK55Zw1JkjYasHXkiCrtbDV9ww7dmxGOf5L3LZ0KmkqcVplTh3p59LqbipTT7O8dyl3Rgqss9sR\nHokGpZIvVZ/OnNr5NDpqcfSuxb71KayvfJfKgaLEruGuIjfybAr1cyjUzETYh1ZR90E5amcyMDDA\nr371K+LxOJIkMX/+fM455xzS6TT33HMP/f39lJeXc9NNN+HxeBBC8PDDD7Nu3Trsdjvf+ta3aGxs\nBIqzn/76178CxW/O+8SRdu3axa9+9StUVWXKlClcddVVSJJ0yDU+jXxW9EwaGhq47rrreOCBBwbz\nP5deeik33HADF1544aBGdjKZHCwSWLhw4eEeT4ljhP7WDOue7SET1RgxNcDEMypQbO//DVdXTdp6\nswxYDZLD3RiygkKBSpqpZA8BU8KVCOJMH48kBShUuPCOqyESjWAaOvmBfrL9PWT7ejBME6msErmu\nERlwu1z4g0EUpfgRZhjGoBMp6FBRP4rRJ44Fq4+EIZGIvrPrqPIJPDYTjx1se+sEhChO792aE8SF\nhNB0KlMrGRlqxyp7sdnmEQyMpmP7VpTmbQS1XqqDEeR6A011EFPGssRs5GdbCvT0FRCSQW2tmxum\nVjG3wVv80qYZGC2vsir/LC/32VmxbgYt8fMRwkRv38ivL7JRX3iFFdGV3L9HZ6vdDh6JRms1l1ef\nxpzaM2nUwdmxFPvSn2HrWoVs5BGyFTFsNommBRTq56AHRh44q+Vj4KidicVi4YorrqCxsZFcLset\nt97KpEmTWLJkCccddxwLFixg0aJFLFq0iMsvv5x169bR09PDfffdR3NzM7/73e/4yU9+Qjqd5skn\nn+SOO+4A4NZbb2XatGl4PB5++9vf8o1vfINRo0bx05/+lPXr1zNlyhQWLVp00DU+jXyW9EyuuOIK\nfv3rX9Pe3k59fT1nnnkmN998M5dc8s6guO985zt84xvfwO/3M3v2bNrb24f6qEp8AhSyOpv/0Ufb\nhiTuoJXZX66nYuSh63tMUyemx+nMGwzIfrSQBxmdMJ1UyFHKkXClA3j6JmPRZTS3Qr7Giea1oufz\n5Hduo29XM/lIP8I0kdxelPpGsBd3QB6PB5/PN+hEstkcW3fsomsgjc1TRsP0C1BsxV2KIQu8Nqi0\nm/gcApf1wM9YIaDfgF1acUdCOoWneyUTR8awumWs1knoqSD5lu2klr/CMHccJaBiagpptY7e8ESe\n6LDzxJoIqWwSYZepG+vj36ZVMyXk2ruGRt/AP3h182pe6x7BpoHLMISF0UGJ/5rQRh2vsaZhHb+N\nwC6bFTwWJthquLb2DGaXz2JEvA1H+1Ls676BkmwDimW72bEXUqifi1o9nXB1A5lPeBbchzbo8Wc/\n+xlnnXUWDz30ELfffjvBYJBYLMbtt9/Ovffey29+8xvGjx/PnDlzAPj2t7/N7bffzpYtW9i6dStf\n/3pRsnLfcRMmTOCHP/whv/jFLwBYunTp4HH7zn3vGoejNOjxyPkgtm3YsIHbb7+dp5566kO2qkhp\n0OPRMRTbhBC0b0yy6aU+tILBqJPCjD05fMB8LCE0DGOAhJGk17DRL8rI40XCIGAOUCVnqbI7sOtB\nnBEDezSPZILqs5Ird5DR0+T6irsPNZUAwOJ0Ya+ux3T70EwTSZLweDx4vV4sFoWMCj2xLH2xPMLq\nQbEVHY2MQcAp4XWAzy5wHsR5vGM39BrQokHaBEs+g7TxZY4bk8QTsCIZ1RhdFtyxNspsaeyOAsKU\nyMUryPjH8Karnr++HWdpawJTgBGyUzXczb9PquBEX9EeVYvyxo5X+Mf2JKt7xpLTXQxzpPhazS7C\n8lLWFppZ4lDoVRQkUzDFVc+surOY4xpBXe9mHO2vY+teg2RqmIoTtWYG+fo5FOrmYPiHHfF7erR8\nrHomfX19tLa20tTURCKRGEwiBwIBEoniD0g0GqWs7J3KgXA4TDQaJRqNDiaHoRjCOdjr+44HDrlG\niWOH+++/n0cffXQwV1Li00M6orL+uR76W7OE6pxMPrcSf2VxTpMQGqY5gK73kTKz9Jl++qknTzUI\nE6+WoizdS63Lgz9Yji2tY2/LY0tlEBIUfFbiljSJ2G6yu3ox1WLo1h4MExg9AU9NHf2xOAVdR0bG\n7gkiWV0kdZmeCKTyICQZ8KJLJlY1QZXPoDLoxK6AJL3/d2NTQI9e3IlkBNi1PJZVLzKirJPqGSHk\nrB1bs0bQ2IbboSK8UIiFicXHkxwzlcdyCZ5eG6EruQeLTUYd5iHY4OKGBj/nBIv661s6t/HM5i28\nvjtErNDEcEsP3/W9gsezhbV08YDiIGWRsVtdTPc0sf1Xi5kcy/HArbOwL/9vlHQ3AFpwJJkJXyZf\nPxe1aiooh28C/ST5wM4kn89z11138dWvfvWAb3CSJA1Zs+Boeb81Xn75ZV5++WUA7rjjjv2cGUBv\nb+/gdvmT5lix42C88cYb/OhHP9rvtYaGBh555JFDnnPjjTdy4403fsSWffTPbV9l2ZGiKMpRnfdx\ncCjbdM1k0+JO1r3YhqzIzL54JKNPCqCqPRQKe8jnu4ipGgPU0U/j3h2IICA0gn0ZXAmdmlofNWMb\nsAykETtjkNMQikzao9ObbCexvRNhmlhsdgI1dQTqGrCFK+iLZxmIpenq1zHlMkzFQV6XYF8aUJgU\nMnFSkU6MXIwxI2o4YepEnM6h6cYbQtCaLrAlmSWtm/gkgXf9q5Qrb9Mww4877cDdGsctaWCFQiZA\nvGMUWsV41tYGWbRrgJef2o5uCnxhO+qkIO4qB7dUB7hmeA0DyRx/WLWMZzfF6Ez6mCrn+Vf/k0iB\nnSyzZ7nf6USVJQJSgFPKT+DUihOZmYzibn2N+2YbWC12RMsziOHz0Efegtl4KvjrsVEU0Dra9/Tj\n5AP9Juq6zl133cXcuXOZMWMGAH6/n1gsNhiC2jfjJhQK7bcNi0QihEIhQqEQW7duHXw9Go0yfvx4\nQqEQkUjkgOPfb433Mn/+fObPnz/49/duAwuFwmBi+JPkWA9zzZ07l5deeumAf/ukbf44nluhUDiq\n8MGnKcwlhKBjc5Iti/sxjSyj5xk0HK8hWXbS2ZkkSRkR6ogwgzwuJARBWVCn6ljac5AzcPoVyhqd\neNNZWBFFmJCjQG+6g0iyC9NiQ/KXIzdORfKGUS1O2nRojoERMwD73v/ALgucikDR4/R27qZj1zby\nmQRVVZVMmDCBESNOQpZlMpnMYfugNAEdGuzRoSDAJ5mUb1tFJRsZPkLBk5VxdhaLXtSsl0RXI9lM\nHa0NZTwXUHlhywADq7rxOiwMa/SwvdJB3GPlUo+Vi31uVrX08qXn1tDdbzBP3sC/upeSrehgiVPh\n504HuiRRKYf5l9A05tmqOWGgFc/m17Fk/ly0LzSa/AnXkqifi1o55Z2mQQ04gp+fT3WYSwjBgw8+\nSG1tLeedd97g69OmTeO1115jwYIFvPbaa4OjNaZNm8YLL7zA7NmzaW5uxuVyEQwGmTx5Mn/6058G\nK5E2bNjAZZddhsfjwel0smPHDkaNGsXrr7/OWWed9b5rlChR4sgY2NNPd3Mrdm+cE7+UweEtYAqZ\nKDVExPFEqEBDQUIQtkg0WiComqTbcuSTOja7RHW1FWemgN6uE5MsRIVBDJWC1Y6onoRePwPBu3It\nKljQsaBhR8dlk/G6rLgdFtx2C6tXrWTz9u1ks1mcTiejR41i7NixBAKBId9X3iw6kA4NdCBgajS0\nrmaYtI0yXwGnpkO8QKHgJd5RTb63irg/xOIymWfzaba81YlFgikNXhon+Fjjt7FVljjdAlNyEqtW\n7ua/upqZJ2/k32xr6CyP8LLbxfccDgzJSw0eLnZP4lSrkyk9m7HvemLvyBIPhdqTKEz9Fvm6uZie\nKmpra4F76Ozs/NDf34+To07Ab9u2je9///s0NDQMhpkuvfRSRo0axT333MPAwMABpcEPPfQQGzZs\nwGaz8a1vfYuRI0cCsHjx4sEk7QUXXMCppxYFWVpaWnjggQdQVZXJkydz9dVXI0kSqVTqoGscjlIC\n/sj5Z7fts5aAN800LleWgd6daGovdncxZ5E3vCQtTcSkaiKmFwMJC1BugQoFymRQ8yaRPo1MygQL\nWG0SmmwlLyuo8v6JeRkTu1XCoYBdEVjQEXoeLZfCgobNquD1enG5XOi6TmtrK83NzXR1dSFJEvX1\n9YwZM4Zhw4bt16l+ONIm7NagSxcIAbWpDhq7V1Jt78ctFX9WcrKNfG8D+R215HQPq2qtvCI0Xu9M\nUvj/2TvvOCnqu4+/f1O275W9CscdXZDQVEA0VEViSRQ1EZMoGvUx9hojRh9jisYoxmgiwYJojE9E\nlEcBzaMoFrBhA8UGCBztuF6278z8fs8fe7fcISDC0XTfr9eye7OzM9+dHeYz39/vW2xFz5CHI/vm\nsD7P4HXSvVkGNCXp2dBAzvrFjBbL6ef+mHd98JLfyzK3p7U9cIgJsoIJ0Tjfa/kYI5autmsV9CdR\nPjodeVUyFLSOVR3SYsIeicmB4Jlk2/ZmxWSnfNdtO9jFRMooUtbgODVIWY1SMQASMYMtDeUkcroT\nDxYSUQZCgVtCrhL4FOgSUrYgYUPKpkNolFAKj3Rw2Qk0lcD0CAI5PrxeF24DDC3dVyQWixGJRDJ1\n73w+H4FAANM02bhxI6tWraKyshLHccjJyWHo0KF069btG+WNKQUNEipTilopCKaa6F/zHhWJNeSY\nrWLpMmhRAaxPDsFaX8CHeRoveyWv1ccIpxxyPTrH9M2jd48gLymLt1MKX32U4zctY1DDu4zkIwKu\nDSwKeFno9/OFKy0IPT2ljNMK+UFNFYfWrUBTFtL0kyw7mmTFGBLlo5H+kp3a36dPHyBdTmh3yYrJ\nPiYrJt+c77ptB5uYKBXHcWpwnGqkrEGp9PCxI13UNZSzubkLSXcILc+HpgSaFJgScAA6BrIYSDQr\njiuZIEc55AkXfqUw7AS2K4FTEsTIz+sQAKOUIpVKEYlEiMViKKUwTRO/34/P56O+vp5Vq1axZs0a\nEokEHo+H3r1707dvX4qKiigqKtrl42Yp2Jiw2ZCSmCpKj/AqeoU/I58WAOKmTjTgIRIOwQfd+aTe\nz0s58EosQVPSwWdqjO2dx7i+eUTyTP5VHya1eS0TNr3F2Jb3OZxPWOlVvObzssjvZ6ORnl8d4O3G\neMfNxJo19GqsBEB6e5DqOoZI/2NIlR62RwUTd4cDQUwO3BCi7zAHWz+TiooK4vE4RUVFXHzxxZl6\nXzuz9aOPPuLWW2/da7Z9V0h7HrXYdg1JO0LSAcvxk5I5JGUvYlYOSduFEBoCgZHb+p8+AZqm8Ojg\ndqWHogwnDrEmZGM1nqYwBa488jyFGJqBjUPCl8ApDuLkBNGEaD8Lgm3bxGIxotEolmUhhMDn8+H3\n+2lpaeGzzz5jzZo1hMNhdF2nR48e9O3bl27dun2jYSylFPXNLWxMpjAJU5bawODoGoIyLZoRR6Mm\nz0csx4O1oYAVb3ThddvN63aKeieKOywY1TOXCYfkU9bFx0u1Vby5cgFHVi/lsdiH+LV6lvg8zC3J\n5QZvETFNYAiNw1wlTHE0xq//mNLkepRmInOOwOp+GonyMcR69sHx7t7ltDOGuQ4EsmJyAHIw9jMB\nWLFiBeeffz4ej4fRo0fvk/1/V1AKLEeRsOMkrAgJK0nSVqQcDymnCEv2QLFNi1uhkDpIQ6LZFrk+\njQKfoKJtdaZUAAAgAElEQVQoj3i4ERkLk2ioI7GljkRjPW7lId9bSJ63GDOvDEcpEgGDeLEPK/jV\nDEAp08NYsViMRCLd0Kqt7UI8Hmf16tUZARFC0K1bNw4//HB69uy503a422LHY0Tq62hKtODSI5RQ\ny4DERgxl46DRbHtZK92ocj9JQ2fZB6UsWZ3PGxY02RK3keCo7jmM65PHiDIX6za9R9Mnj5L32nvc\nbK9hpcvgZW8Ol3UNssblRQnI0wzG6/mMb4kwunolPrUOFSgl2WUiCe8I8B+OlZtDrNSH489Wtoas\nmGTYUn0vycSqTt2m29OX0pIrvna9b0M/E4CBAwdy9dVX88gjj2TCibfXu6SNSCTChAkTWLx4MaZp\nEg6HOe644zJ/f5dIiwUkHUjagqRN68NuFQ0DhQEEWx+gCwuhK5SpYWmClCaRmkJKSWpTFK06QXnI\npO+AIC63INnSSLKmgZq1YVq2bEZZNjmefIp8JeSGemAIHUcpIoaOLPGiCtywTTVgpRSJRIJoNEo8\nHkcpha7r5OTkkEgkqKys3K6AdO/eHY/Hs0vHwkkmiTfUkqyvQln1+L0pykQTA5x0cnJcC9CglVHT\n0Iwo1LG7Gry3PsBbL4Z4q95NVILPhO/3ymVc71zG5GwmtX4hsQ8X0+u1j+mi2Sz2+Ph7XhHLfT2I\n6emCor00ONfxMaGuloHhegQCq2QIicMvpzH/KLx2T4jb2D6DWKkPO9g55+j+qlje2WTFZD/zbeln\n0sbAgQP5xz/+AbDT3iWQrrN01FFH8fLLL3P88cfz7LPPcsIJJ3wrhWR7YpFyIGELUq3CobaZs9BF\nApcewa1H8btslO7B0n0kNB/NQsdqLSVuKoXeECf+WZjU2gg+qRgwPEDh9yyslmrqlzeQam5ESYkm\ndApzy+hTNAg/PjQEtoJmJUgGTPSuXkyfsY3timQymfFCpJRomobP58sIyNq1a4lGo7slIHYiQbKx\nnmRjLeHoZtyqicKATZ7WguZWWMqg0dWVDbkDqFvbgJKNhMsc3tGLePv9HD6q9WArQY5bZ2y/XI4v\ndxjJR6h1i/Esfgu/3cgKt4t5nhIWd+nJFnccBPiFzTAlGRcXjK/dQqFjI925JMpH03z4aGTuCMy4\nDzNs4QoDfo1wjyBWzk7qtOwGK1as6LRt7U+yYtLKrngQe4ODvZ/JzthZ75I2fvaznzF9+nSOP/54\nZs+ezZ133rnb+9ufKAWWbPMmBI1WnMaWdJ+MHYmFoSlcuoXHiBJ0NWGKOlx6BENEsY08YloXwhRQ\nr7oSVVvnFXwCijSFqI7T8H4jjZ814vMn6NZDkTfQQtgt2HWxdM6b0MnPL6VL1yEEdD8uS0OQzomr\ndwQtukAr8RAocuMxtHbfJz2R3iYgjuMghMDj8ZBIJFizZg2VlZXE43F0Xadbt24MHz6cioqKnQpI\nuh9JmESreBjhzfhFMwVeixx3EsMvkQjqXMWs8h2C4+lCdGUtTkMVG3NreTdl8taG7qx/P53g2CPP\nzTlDdI4PrqNHdDn6+iWE1q5io6Gz0JPH/+UXs9Kbj63bCKCXiHB2KsmxzSmGhlvQAavgUBKDT6Ku\nyyiE51DMFgdP2EIkQJoOyZCHVJ6L3O6lWO0SqTuL7JxJln3OgdjPZFtWrFhB3759gZ33Lmlj+PDh\nbNiwgTfffBMpJf3799/t77O3cVrFImG3H4oSrd4GSNVeLBKYmsBlgM+lyPeCS7cwtSYMUYuhbUao\nWixlECWfuOhCIxVEySGi0v0+kGACuTqUapCrKaiLUPfxFpo31eIy4pQEE5Qf3q7dtOUlkFtEbmkR\nfs2POwmaBCUhgaBaQrMjsH06OeUe8vLNzDmwPQGBdEmZZDJJZWUllZWVpFIpDMOgoqKCnj17Ul5e\nvsM5ECUlyebG9NxMYx1mtIqgEaXEkyTHnUIPpYNJG80QKz19afZXIM1CxLIvqd9Uwxf+BB9YOsuq\nuxCzdHShOKY4xvXfW8tQ9Tn+mg/I+fxLwprgHbeX+d4S3i87hLArPYcTEDZjVYTRkTjjG2KEHCfd\n67zsaCKDRuOERqKpAoyYjb/eRpDAcWkkijykcl04PiPjhezt0lAHO1kx2c98W/qZAHz66af89a9/\nzXgXu9q75Mc//jGXXXYZV1555dfuY2+iVLr3uFTp11JBSwLWtGgkbbBlx4uJJhQeAzwG5HoUbiP9\n8BjQpThEQ30lUtbhOLVYTiNRBS3kEieXqBxElFySbZWXVFo4ghqU65CjKQKpOKKlkZZNdcTqmmhM\nhTFNCw/gKQFhePCGCggECwm4cvAqN664RLMkJME2NcIujcaEojmlkLrAH3JR0beYuJU+V6SUxONx\n4vE4iUQiIyCGYRCNRlmzZg2bN29GKYXH46FHjx706NGDbt26bbcumrRtkk0NJBrqsBqrcSeqCbgS\nFLiTBLwWui8tHi1miJWeQ6hyd6PZW0ZQgvPBalat3chnri18kNSpihZhYPN97zpuKdzAEeZ6Sls+\nwtdcRWXUYInbzyJ3IZ+U9aW5VTxAp4fu5sxEAxMbW+gXTaU9sdzuWH0mEQ4dDZ5B6EmB21FQC0pL\nYHsNEiXetIB49H3aD6TNMznYyYrJfuZg72eydOlSJk6cSDwep7CwkN///veZSK5d7V1y2mmnceed\ndzJp0qRdOmZ7QptIKAVym7/bxKQNAdgSdA1CPoVbV7hbM7rbEvParjlKOThOIwnZRIsTo2qTIqo8\nxMghzkCS+NptV+EXgpAGAU3hs5O4Y2FEuBk7GiYVbiHZ0kJS2hmb7YQLqQUx/XmUdCsmzxfAlQAj\nYqHFFcRBGg6W3yQiBPUxSSQiAYUnxyC/mwtfvommCQyPINwQzggIpO+6lVI0NjayevXqTF28UCjE\nkCFD6N69O0VFRR3CeKVtkWppJtnSTKqlES1Si8epJ8eVpIs7hS9oQzA9vBd1FbLe05VKV1c2e8oQ\nugetuo71b65nXX0tXxgmXyYEpSQZaX7Ejf6VDA2tpzSxBktZfBpz8bw7hyXBPL4s6k3SsNI2YOI1\nujLajnBSeA3H1q/Ho0DqJlbocJJdx0BgBLi6oAFCgiN1UrkGjs/A9hn7XDy2ZenSpftt351JNmkx\nm7S4U/aFbQsWLOCFF17gb3/72zf63PZs2553se2y9giRDlgStD6Ljsvi8Y7niFLp+YaokyDiRIlK\ni5iCmHITJ4Bka/CAhsQvFH5Nw68c3Kk47ngEPdKMEwljRSNY0TCqXXtiKXXiMRexqAeh/BR1KaC0\nSx75OQZmSqInHdqqrDsuDdtvkvIZhB1oabGJN9soBYZbI1DoIlDgQjPTXm0ikSAej2eOmaZpJBIJ\nNm/ezJdffollWWiaRteuXenevTsVFRUEg0GUUjjJJKlwc/rR0owK1+FxGgm4UwRdKQJuC0OTabuE\ni5i3lDpPV9a7ulJpFuNoJvFwguovNlO5qoE1CYVUjXxPrGWIvpYR7jUcoioJOC2sMw0+cPt4zRXi\nE7eLOncS1fqlhSgGs4J+juDU8Jf8sOEzcqy0x570hiB3FCJvPDI4GMftRbp1HI+O0/ps+4yvRKjt\nKnsrMfDbUk4l65lk2a/cdNNNvPLKK5lclV1FKXCkwnK2ioZsFY32giHYKhBtnoRGO8HYznWlTXwc\nIOrAxqQkKi3iShFTBg4GpAebAImHBD4s8lQEj6VwJVIEnSTJ2i04sShWLIqybWzSRQcBdLcXqflI\n2EXEGlxolgefy0so302f7i6Cbq3df06FjDvYHh0raOJ4DVJeg2jMIdpgEa9NoCTopiBQlPZAhMsh\nmUxS39T8lXm1WCzGypUr2bIlXTsqGAzSt29fysvLKS0pgWScVEszqY1rqQo3oyINeEUUv8siz2UR\n9Fi4C1q9JgSWK0TM14VGdymbXCWs0/KJSdhSF2PLynq2rPsIrWUDXdjA97RKTtDW8j33OvwqxnrD\n4FO3m3muEMtcJWx0F2LprWKnXOh6LzR3Gb0dGBup4UeN79Ez9h4AKdNFMq8/0YKJOMVjcXK7ZkTD\nceugZ+c49iVZzyTrmewUwzB46aWXvpKtXlFRwcyZM/faflU7YejgZbB9D0Nr51Fo7YSiTUy+sl3S\nw1yZbbYtU4r0/XX6Q7WRGGsMD26ieIngUTHctoU7mUJvikNDFBmNIS2rgz1C0zC8PgyfH9PnR2he\n7JgLJ2ygwgJTKvICBnlBHXe7XupKE+k7aE/rRdGbHoZRhoZtSRItNvEmi1iThZKgGQJfyMCToyF1\ni2QySTKZRMr0t9A0jVgsxpYtWzLeh67rlJaU0KWokJLcIB4lsaJh7EgYw27Gb1r4XSn8bpuAy8bU\ntp6bthHE8pWS9JTQ6C5hs1lMtdRZ25RkS0OclqpNBDZ+TCi+hn5iPYeKSvpqm9CwWWOarHB7eMcd\n4mPTTZXLwm7N8UDpmJQhXT0xXIUcnoxxTMs6vt+yjPJ4dXrfmkY4v4RU6VHQ6wyckoGg7bsWEnvr\n7v/EE08E4Pnnn9/tbRwInklWTLJislP2lm3bE4v2QrGthwEdBUMAhqG15k6kl3+9UGx9fxtr0FAI\nJAIHDYlAoiEJN1Xh1H6E3QJWWEOmWiN7dAPD600LhseH4fHi8vhwGz5MYeJyPMSqI2hJB48GPnfH\nkiGWVFimjsgxkd5W4WgVjTb1k44iEbbTAtJiYcVbBcIAT76G4Zc4WF8RD9u2qaurY82aNTQ1NQEQ\n9PkozglQ4HUTMhRuJ4zPtPGZFl6Xjd/t4NGsTKdChYblLsB2F2KbIRy9gLCWTw0ePmpKsrq+Aa3m\nC3IaVlIcXUNvtYF+2kaKRRNxIVjlMnnfncv7rhw+Mw3qXElk6zAYyoWmyrBdPUh6yukNjIzU8v3w\nJwxv/oh8K11bK2VotOTlEysaCOXHo5efgND3X7fBA6V45/Y4EMQkO8yVpVNpLwSZ522Wbc+zgI6e\nRfthKA1AdBSK9NyFwmnbnqTVo/iKRQgUmlJoSrYKRqtoCAdNSESrvCgJygGkQCkNgYZIeDH17+Er\n9eIq9+LS3ZjCRJcCLSXRUg4i4aBHFVomv9MCLERKEk46NAhBPRpmyMRd7AGfkRaNbZCOIhm2MwKS\njDqgQGgKMwe8eRJ0B8tJkZAS4qBpAjuZoqG+jg0bN1Jdl544NzXoHjQ4rNxFqU+Q47HxuRrwmjam\nlsxkvCgEUgsiRREpcpHkopxcpBNkTSMsT0RoCK9BC79HfnQN3ZKVTBQbOU/U4QCbDIPPAl4Wu0Lc\nb5ayziyl2RUnM7EjDRTlJI3uWN4eFJl+RsTqGBf9lMO3LKZHZB26Sv9ycY9GcyjAlwUjsMsm4O12\nCoaZ862/SGXzTLJ8J1BKbVcQdva8PdoPORnaNsNPbRFRtPMqSM8vbG8eJLNNRyKUQrQKhSYlQqYV\nQUMihETTJEIDoW/dT3pnApQOykRgINDT4qEDeuu1UIHSHIqTfrRYmwFO6wOSlqQl6hCOSiJxh2hS\nIl0aeo5JYa9CzG4Sf8jE176qbrvjaiclyYhDMmKTiNitnocCQ6L7HMxCC6U5mWNhSxCWgxOL0dzQ\nSF3tZhKJRnLcknwPjA4ZFJUb5Lolbj2BEFvnSpQyUCoHRSG2k5N+rXJJyQAbkpLKcC110Uqs2Kf4\nE5WUptbTW2zkbFGHDWw0DFabbt7zFfCoq4B1ZhENZgKpOZlvphwPNl2xjO5Y/p4EXYUcm6pjVPQL\nBjYvp8f62fhaQ5JtXdASNNhQnkss1B+ndDTewrGUlw9H7oXEwCx7n6yYfIdouyBvTwTYgTignO0M\nC6VpLxDt5yjaX7RVO6FoEwlHgUS1bld8ZdxJkBYIVFosNJnOuhNSIpQEpRCt77UJhdBFWgQMtfWu\nOLM9HaHaPWTaK2gTjHbWdnilgFRKUlmTornJprnJIpqQROOShC0JFnvI6+ohr8xPXhcPXQpdaK2R\nQu2HHZSUOHEHK2xhx5LIWAon1ppNqEuUS2C6QPgEtp4+kJqy8DhxAskEWjKMk2zGSjahESPgkuTn\nKjwF2/6+Aim8SBEkpeXg6Lk4Ri5JI5eqlEFVUx1NNauwW75AC1eSZ1fTVW2hh9jCoSJGva6lRcPj\n4eWcPO43Q2wwQjSbW6Op0qeEiS274ogybFc5dqCcXr5CxltVHBFZRb/GZXTd/BSBWG3mWEZ9Ok0h\ngw05JcQLB0HxWHJyR+B2l5PXvk/KdzAx8NRTT93fJnQK2TmTA3DOZFdL0GfEQcGTT85m9OixFJeW\nohRc/+tfcd4FF9Kn7yFfEYwd0V4cMiKhaSjVbgCp9dofj8f5/ohhLHrzbQLBQCZv49ILzuekk0/h\nhJNP2dbaVi8iLQK0CkNGNKTaKhStxghNIITGqPHHsOCZpykoCIGm0skCQtI2Vf7QQ4/x85//GJ/H\nj1BaRjDSrzXa1O2a3/yaX553QWtZfoFEISVIqXAccGyJbSscZ+tRqtvUTMOnSXILXeSGXARyDfwB\nDZepELaTLrjlyLSX5Kj0Q4KGQChwdIGtaySFg62nsLUEUiRRIo5JElMlMWUSt0ziUgkMmcAgiS4c\ntiVuC5LKjdQD6P4ChK8Ax5VD0pVDre1jc0TSuHkNieovUY3r8CW2kO/U0oVaykU1Sk9QbehsMgw2\nGAarzSBrTS9VhqBBt3G0rb+zUjrKKsBWpTh6KY67K7a/jIKcMkaJKEfGvqR/eBXdmj8hv3kVnvjW\nZNuES6Mlx6Al6CKa151U0RF4c44gEBiMaZbsVDC+q/MSe0p2ziRLB9rE4ayzpqAA24HZT86hd9/+\n5BeW7tCbgPR63Xv3J7cwLTp/vH1axkFoHwK7refQfi5CobYm87U9lNOxplTrDoXHy/fHjuWF/zzP\nqaefDlIRbWnig3eXcve0OzET0a3eA6CJtDAIIRAIEFraY9BI/62L9MbbCYUSDkrYaRfCTKGM9LCN\nUBpCamjKRCiNh2c+zhkn/xTDDKa/jwD0dPkTKRVSKpRU/PF3fwIF8bjdLmRYIAS4NBBugfCk7ROt\nByooXRzpald40kpBo40ghSKJrSWwSSBFAqmlUEYKISwQKXRSuLHwqxSGSqE5qm2ErANJqRO1NWrj\nknBKEU0JIrYL4clD+YuwAyUk3UXUpxLE6ypxmjahRz7Bl6oh36knRB0+o55SowWPAdWGQbVbZ5Xf\nYL3hZYth0KAXYWkdbyWU40ZaIaQVwrGLkHoRjrsYV6Ar5QVdGaLHGRpbQ9+W1ZS1vEl+7Up8kSp0\npy1hEGI+naaATqTETyyniGR+f8z8YQQCg/F4DsGn7b8J84OF7JxJlq+lvefQYQiJjoIw94kneOiB\nGSCgX/9Dqajogc/vp6ysGx9/tJwrr0iXlp8zdx4PPTCDRS8vJJlIcPgRw7jtT3/mP/95jhUfL+e6\na9LrPfXMM/xiyhSm3ngTAwcPYf6zzzDjvr+jFIw95liu/U26BP0R/fty9nnn89rLL+H2ePj7gzMp\nKirkhfkLuO/ev6JpGsFgkH//+4mtogCZ5x+fcBL//J/HmXLKqQjgPy8sZPzoMRT7cmlqauLqqddR\nuWE9Xo+XaX/8EwP696euoY5LrrmSLTXVHHHYUF5f8ib/eW4O+QW5PD13HrNm/Q+WZTF06CBuu/W/\n0YUJCjTbRaJZcdHlV1C1ZQvScbjy0suprauluqaGH/9sMqH8EE8/9m9eW7KYaffeTSqVontFd+65\n/U78fh+nTvkpv516A0MHDaLXkEH81znnsPCVRXjcHh6d8XeKCgtoL61pcdsMxrto2OjY2/UY2iPR\nsHEhNQ+O5sLWAsSUQcwWNMcdaiMW1S0pNjRZVMcNalIu4rjw6BAQCXwqjEc14hZ1uPUGvHoTLqMF\nTY/iaCladI1GXaM+pFOn69TpBi26YGveS9vJJ5B2DsrKRcbzUDIPR4RQRj5udwF5/iLK8vLoke/i\nEKuB7tEvKWn5goLwUoIb1uH7tBrT3lrzK2kKIn6DxlKdaCCXeG5PZGggnkB/vN6+eNw98GnePf4/\nk+Xg5aAWk2XLljFr1iyklBx77LF7VI4jlfoAKRu/fkW2ikCHv7dZQQGIfJR2+Ha30TaUtGrlF9z3\n93t48ulnCYXyaWpq4NFZs9CE5MQfnsDjj83i+htvZOCQISjgp+dO4aKrrkQJwfVXXsF/Xl7I+JN+\nyPcefYTrbvxvBraWWFGkb4KrtlQx7fY/8b/Pzic3N5dfTDmb159bwA8mTiQei3HkoMHcfNU13Hr7\nn1jwr8e5+tLLmXHvPTw58zG6lJbS3NJMUG3/NDl29Hiuu/E3NDc0kZ+fx7ML5nPu2WfhiBR/vudO\nBnzvEB588K8seestLrv+Sv7v/57izunTGPn9YVx22QW8+upi/v3kUyglWf35WhbMe5F5T/wbl+lm\n6s23MH/OC5xx6qnpDoGOYvGrr9KluIh/P5gucd8SbiEnGODBWTN5+rGHKAjlUd9QyT3T/8qcR6fj\n93v42/2zuH/W3/jV5RcisNFEBE00E4vFGDb0EG689r/43Z//yuNP/ptrLr2gNfZL0Dpzg6PpRM1c\nbGWQUAYJ6SKhDOLSRVSaNNk6DUlBdVSyJezQEJNEUjZJJ4ImG3CLTbj1MC6tBbcexaWHMbQYGHFU\nXgKfbqFpDi26YJOm06xrWNsdBvICXkxpoNleHDtIKpGHbeeinADKCaLruWhGELeZQ8gTpEvQpCyg\n6O2P0lNtoii+jmBkJZ7YZtx1tXjXN+ONx9HajXTbuiDi16kpchMPlJLMrcAu6I+Rcwhudzmmqxs5\negG538G5jb3Fbbfdtr9N6BQOWjGRUjJz5kxuuukmCgoKuOGGGxg2bBjdunX7xtvKRCttowo7FIld\n3zKi9U42E8XTOnwiBSghWPL2G0w86SQChSFSgC9UgCMEttCwNA0lQIr02I0GvPvGmzx0/wzi8TjN\nzU0M6NOXwLhj0ZUiYDvkpWy0dEAQQUux9oPlfH/ESHrkFQJwxsmT+HDpUk6ZMBGX6eKEceNBOgz+\n3gBef2MJUiYZdthQrrj+Kn54wvGceNxx2EpPfwOhMnkICDA8iokTxjD/xac56fhjWfHpCo4Zexi6\niPLe++8yc/o0TJnimCOP4NqGJlL1zby39ANmTf8LnpTN8UePJC83B5ed4u0li/l4xQpOPO10ABKJ\nJEUFAYQIAxIhYgzoX84tty/hD3feznHjxzBy+BEorNbjqpAC3l2+gi++XMMPJ58LQMqyOPywoYSl\nBxuNFsdNve3DNE0Gjv4BG1OCrv2G8Pabb7Iq7kYi0xFsKBQOK+ujPLT8UwwtjkuLY4gEupZEaEmE\nlkJpKRzNxhYOKa8i4Vckd6Fch6HA7wi80osh3YiUG9P2kecESTi5hO0C4k4+yvEj8OE2grhdPvxu\nHb/bIeRLUOKJ08NTRx+tkq7yE9zJWsxUGFcijCcexdOUxJtwcFkdz1opIO51EfcHaCopIxXsipPX\nA5nfDy3QC9NdhqEX4BOC/T+j+O3nnHPO2d8mdAoHrZisXr2a0tJSSkpKADj66KN59913dyomG+ut\n1h7ZYElBnkuidNV6J3o4fDX0H0jfoyLUViFpd0FtLy9iO6+Fah2fbx0magtlFa0f9zhJ3I5FnhXJ\nTD57nSQ+WyeUbMGQDkErSq7VTCKZ5Hf//Rte+N/ZlHUp4c57p2MnmnHJRoSy0VQYTTW27t9CiBYg\njCCJEA2ty6NAAl00Ypg6hp5OEHMZKaRMYupR/nLr9by/7GMWvrqEE08/nYXPPE4oP6/jQWn9qqf/\ncCJ3/f0hhJQcP2EcpmYiW0ucpFrLtKczO6DFETgq/Vxni3T0EVBtazQ5ghNPOZlLr74ChcqEBK9O\nKiwFq5OQ06WC+2Y/ztuvL+G/p93H4UcO45yLz8dSktWJGHkJk82pKIeNPILfTrul3W+j2GDXkFQp\n6mQ9W1QVuqnTJNKZ1ZYRJiUjpIyar/z2jqeKWPESANxS4lUKj1J4pcKnFC4pMGwdQxoI6UJJF1K6\ncaSPlOMn4QSJOblEZD7NToioysPUA+imG8cU6O4UuWacfCNCyNNCvt5ISNRRKj4nRC1B6vHYzZiO\ng2kpDFthRiWuRok7JdG3k1wjNY2kN4Dl7Uo4VIgdLEUGy1G5vVA5fSjsOZLmxpbMKZyd1di/ZOdM\n9jMNDQ2Zhk8ABQUFrFq187a7fWqfaZe0pmjMHYxHlrabXm4LVt2+QOwNxo0cwrmXXMul551BKD+P\nxqbmViGwESJJwO8lGm1BCJuUFQOgoCCXWDzGgv9byA9PmACaIhDwEYlHQW8d7Rfp3IS+3xvCG3+4\nkzW1YXKCOcye9wI/P+vn1KZcKAUrU3EUik12kmZp83kqxsb1Gykb0IuTB/TiuVcXs3j9Wvr4+3Y4\nRm2v8w47hJXr1vGPx/7N5Tdezud2WswOOWIADz/7NFMumcKypcsI5Adp9qfod9ihPPn8s/z0v37K\nu2+8S0tzC000039kf/516b/40Tk/JL8gn5bmFmLRGKVlpSgkjh6mpr6BnNwcJk4aTSDP4PmnnsPQ\no/j9XqxEAy7h5rAhfbnnj3dRV7mWiu5lJKNxamvq6NmjHFMp8qRDkZ0ullhsSUCQY4NHQlFKTw9z\nKa11uEunLFLEsat/QELkktACxA0/cd1PyvARNz24XeAxbLyGhUe38BgJzql+lCJZiUukMPQUhm5h\nKAtd2a3JkwrNUegWiNiunSeO4cJx+XBcfqQnBydURNRfgvR1Rfq7IH1FSF8hjq8I5c4Fsf07IwEI\nfdf7r2fJsqsctGKyK7z00ku89NJLANx+++3QeoEAo/ViYaRfZ9SkLeRp67PK/C06LBfb/J1+f5vt\nZJbt+O9+h5Vy1dXXcspZF6PrOoMGDqS8ogLcfgh25cyzzuHXt9yGx+Phueee46yzpzD2xJ9QXFzM\n0MOHITUD2/Dwk5/8mF//9214PG7mPTMHhE5K+NDyK/jllddx1pQLUErx/THjOXL8ScRabZBtF53W\nrBWCcUAAACAASURBVD4hTGZMm8HGyg0opThi5DD69x+I1vodM/+K1te6YMIPJvLS/y1k1Mhx6LqO\nQHD5lddw89SbOf+UC/F4vdz459sx9WL+68pr+e3V17Fw/iIGDhlMQVEheYFySkJ9uOiqq7j+ghtQ\nUmEaGr+74UrKisowEJSkTD75dA033n0fmqZhGAa/vfF6Cu0gZ55+Otf9128oLi7ikYcf4k9//CM3\n//rPpFLpIbDLrrqKXn0qQPMgzTIcd08QGo63S/pmwZUDhhvdn5+eKRFtEWiKcjycdYoHQ7cRWhRN\nSyG0CJow0DQTTXO1Pre9zqNgsR8jlg+6CZoLYbhBd6VLgbQ9XAGk6UeZXjB90PqsDG/6tScX5ckF\nTx54ctM1VIDWnMo9wjAMCgsL93Are4fvom170uCujQPhuB20eSYrV65kzpw53HhjOjLpf//3f4Gd\nJwAdLHkmBxKdbVsymUTXdQzD4L333uOGG25g4cKFB4Rt22N3z5Hvak7CnpK1bffI5pnsAb1796aq\nqoqamhpCoRBvvvkmV1yxf/q4Z9l1Nm3axEUXXYSUEpfLddD2fM+SJUtHDlox0XWd8847j1tvvRUp\nJePHj+/QoTBL5/Hqq692Wgn6Xr168eKLL3aWaVmyZDlAOGjFBMj0Kc+ydxk3bhzjxo3b32ZkyZLl\nAGYHwbBZsmTJkiXLrpMVkyxZsmTJssdkxSRLlixZsuwxWTHJkiVLlix7TFZMDkD++c9/MmfOHABm\nz57Nli1bvvYz2673q1/9ipUrV+41GwHefPNNpkyZkvn7z3/+Mz//+c93moT14IMPEo/HM38feeSR\nNDQ07FU7s2TJsvc5qKO5vinbJt9s2rQJ0zR3sPa+pb0d559/fub1U089xcCBA7827Hnb9e655569\nYlt7DMNA0zRM0+Qvf/kL77//Pv/zP/+D17vjUuQzZ85k8uTJ5OTkAOl+IoZh7PLv4DgOur41B3xv\n/35er3eXk7a2ZXc/ty/I2rZ7ZG3bMd8Zz2Tq1Kn724QdMmPGDMaOHcu4ceO45JJLuOOOO7jvvvuY\nP38+y5Yt4+KLL2b8+PHE43GmTZvGxIkTGTNmDNdeey1Kqe2uN2nSJJYtWwbA3LlzGTt2LGPGjOH3\nv/99Zr89evTgtttuY9y4cZxwwgnU1KQLHc6bN48xY8Ywbtw4fvCDH3yt/dOnT+fll1/mscceywjJ\n66+/zjHHHMPYsWO58sorSSaTPPjgg2zZsoXTTjttu5UK5syZww9+8APGjx/Ptddei+M4GTtvvvlm\nxo0bx7vvvptZf+PGjbt/0PcyB/L5lrVt98jatnO+U57JzojH38Vxdq2fya6i6/l4vcN3us7nn3/O\nQw89xAsvvEBBQQGNjY08+OCDAPzoRz9i5syZ3HLLLQwdOhRIey2/+tWvALjkkkt48cUXt7teG1u2\nbOEPf/gDCxcuJC8vjzPOOIPnn3+eE088kVgsxhFHHMFvfvMbfve73/Gvf/2La665hrvuuovZs2fT\npUsXPvvss53av3TpUlavXs1LL71EIBAAIJFIcMUVV/D000/Tu3dvLr30Uh555BF++ctfMmPGDObO\nnduhSCeky+M8++yzLFiwANM0+fWvf81TTz3F5MmTM3a2F8IsWbIcWHxnPJMDlSVLljBhwoTMxTU/\nP/9r1z/++OMZO3YsS5Ys4Ysvvtjp+h9++CFHH300hYWFGIbB6aefzltvvQWAy+Vi4sSJAAwZMoQN\nGzYAMHz4cC6//HIee+yxjHewI3r27IlSildffTWzbPXq1VRUVNC7d28AJk+enNnnjli8eDHLly9n\n4sSJjB8/nsWLF1NZWQmkqx388Ic/3Onns2TJsn/5zngmEyZM2On7X+dB7E3c7l3rKJFIJLj++utZ\nuHAhZWVl3HHHHSQSid3er2EYiNbKx7quZ4omTps2jffff5+FCxfyl7/8hZdffplQKLTdbRQVFfGP\nf/yD008/nfz8fEaNGrVbtiilmDx5MjfddNNX3nO73R3mSdpom3c5EPm6821/krVt98jatnO+M57J\ngXCwt8eoUaN44YUXMhFNjY0dh9oCgQCRSATYWqo6FAoRiURYsGDBdtdrz+GHH85bb71FfX09juMw\nd+5cjj766J3atHbtWo444gimTp1KUVHR1zbt6d27N7NmzeKSSy7h448/pk+fPmzYsIE1a9YA6bmQ\ntn3uyM7Ro0czf/58amtrM8ehzVPaEVkx2T2ytu0eWdt2znfGMzlQ6d+/P1dddRWTJk1C0zQGDRrU\nIXJr8uTJXHfddXg8Hp5//nnOPvtsxowZk+5n0m5+ZNv12igpKeGmm27itNNOQynFhAkTOOGEE3Zq\n0+9+9zvWrl2LUorRo0czcODAr/0ehx12GPfccw9Tpkxh7ty53HPPPVxwwQU4jsPQoUMzrUnPPvts\nzjzzTEpLSzNtAwD69evHDTfcwBlnnIGUEtM0uf3227PFO7NkOUg4aPuZQDqK6IMPPiA3N5e77roL\ngHXr1vHggw+SSCQoKiriiiuuwOfzYds2M2bMYO3atUgpGTNmDCNGjMDlchGLxTK9AHJycsjLy9vZ\nbneJmpoaYrEYuq5nLojJZJK6ujqklBiGQUlJCZqmoZSitrY243kEAoHM3Mn69esRQmSGo3anx31n\n2CWEoKCgIBOtlUwmqampQSmFz+frlMY8nWXb5s2bsW0bTUs73l26dNnuMNmukEqlKCsro66ujvvu\nu4+mpiaEEEyYMIETTzyRSCTC3XffTW1tLUVFRVx99dUEAgGUUsyaNYsPP/wQt9vNJZdcQq9evYB0\nFea5c+cCcNppp+1xEc3OtG3y5MlUVFQA6R4Z119//T61bdOmTUyfPp21a9dy5plncvLJJ2e2tWzZ\nMmbNmoWUkmOPPZZJkyYdMLZdeumleDweNE1D1/XWZnz7zrbFixfz7LPPopTC6/VywQUX0KNHD6Dz\nj9uOOKg9k3HjxnH88cdz3333ZZbdf//9nH322QwYMIBFixYxb948zjzzTN5++21s2+auu+4imUxy\nzTXXMHjwYEzTpK6uji5dumAYBps2bcLn8+Fy7Vlr02AwSG5ubibcFqC2tjZz0WtpaaGpqYlQKEQ0\nGkUpRXl5OVJKNm7cSCAQyORQdO3adbcvhntiV0tLuk94eXk5juNQVVVFWVkZQojMyezxeKiqquqU\nRmOdZRukPbJdnYvaFXRd5+yzz6ZXr17E43GmTp3K4MGDefXVVxk0aBCTJk3imWee4ZlnnuGss87i\nww8/ZMuWLdx7772sWrWKhx56iNtuu41IJMJTTz2VudhMnTqVYcOGZSLh9qdtQKf3mPmmtgUCAX7x\ni190CAEHkFIyc+ZMbrrpJgoKCrjhhhsYNmzYHt1cdZZtbfz2t7/ttKHXb2pbcXExt9xyC4FAgA8/\n/JAHHniA2267ba8ctx1xUM+ZDBgw4Cv/CTdv3syhhx4KwODBg3nnnXcy7yUSCRzHIZVKYRgGuq6T\nTCYxTRPTNBFC4Pf7iUaje2yb1+vN3Bm3YVlW5u7Z5/N12I+UEqUUbY7itp/tLL6JXW3LFy1axIQJ\nEzjzzDMZP34848aN45prrsHj8QBpEdjXx6z9cl3X0TStU9qf7oj8/PzM3bvX66WsrIyGhgbeffdd\nxo4dC8DYsWMzF5r33nuPMWPGIITgkEMOIRqN0tjYyLJlyxg8eDCBQIBAIMDgwYMz+UD727a9wTe1\nLTc3lz59+nzl5mn16tWUlpZSUlKCYRgcffTRO7yo72vb9gbf1LZ+/fplroV9+/alvr4e2DvHbUcc\n1J7J9igvL+fdd99lxIgRvP3225mDOnLkSN577z0uvPBCUqkU55xzDqZpZoSlDcMw9tpFyeVyEY1G\n8fv9RCKRTPRUm4BVVlailKKgoKDDCVtVVQWkh+D2xqTzjuxqGwIcP348o0ePZuPGjRQVFWGaZua4\nQsdIsH1tWyAQwLZtkslkBxtqamoyNwdfF279TampqWHt2rX06dOH5ubmzPbz8vJobm4GoKGhocPQ\nX0FBAQ0NDTQ0NHTIsQmFQp1aTmZPbMvPz8eyLKZOnYqu65xyyimMGDFin9q2I7Y9bgUFBaxateqA\nsK2NtgZyxx13XKdOiH9T2xYtWsRhhx0G7P3j1p5vnZhcfPHFzJo1i6effpphw4ZlhGL16tVomsb9\n999PNBrl5ptvpkePHvvkLqONoqIi6uvraWxsxO/3Z4Zk2sSre/fuSCnZtGkTXq8X0zTp2rUrhmFk\nhnJM09xpuZLOtCsYDJJKpdi0aROGYeDxeDLv7St2x7bi4mIMw0BKSXV1NeFwmGAw2Cn2JBIJ7rrr\nLs4999yvDOu1n9vaH3SGbdOnTycUClFdXc3vf/97KioqKC0tPSBs21t0hm1/+MMfCIVCNDc388c/\n/pGuXbsyYMCAfW7bihUreOWVV/ZLgu+3TkzKysoyuQqbN2/mgw8+ANLJfkOHDsUwDHJzc+nXrx+R\nSISCgoIOd7S2be81gXG5XHTp0gVID9O0DdlEIhF8Ph9CCHRdx+PxZIbf2sRQ13V8Ph/JZLLTxWRH\ndgkhOtzBttUy0zStQzKj4zgdvLv9aRuQsUXTNAKBAMlkslPEpG3ObfTo0Rx55JFAeuijsbGR/Px8\nGhsbM55jKBTKBHUA1NfXEwqFCIVCfPrpp5nlDQ0NnXLR6Qzb2t6D9JzTgAEDWLdu3R6LyTexbUeE\nQqEO3nB7m/e3bW32tX12+PDhrF69eo9/129qW2VlJffffz833HBD5nzfW8dtexzUcybbo83tk1Iy\nd+5cjjvuOCAdmbJixQogrfarVq3C6/XidruxLAvLslBKZYZU9gZtF2ClVIcTwTCMTCVdKWVGSKSU\nSCkzy+Px+B4HBnwTu9rvPxaLIYTA5XJlkh3bEibD4fA+P2Y7sk0p1eEz0Wi0U46ZUooZM2ZQVlbW\nIRt/2LBhvPbaawC89tprDB8+PLP89ddfRynFypUr8fl85OfnM3ToUJYvX04kEiESibB8+fKvlMDZ\nX7ZFIhEsywKgpaWFL774Yo8nar+pbTuid+/eVFVVUVNTg23bvPnmmwwbNuyAsC2RSGT+/yYSCT76\n6KNMRNy+sq2uro5p06Zx2WWXdSj4uDeO2444qEOD//rXv/Lpp58SDofJzc3ljDPOIJFI8MILLwAw\nYsQIfvazn2UufNOnT2fjxo0opRg/fjxHHHHEV0KDg8Fgp4yxV1dXZyb8dV0nPz8fpVRG7Px+f2Ys\nU0pJbW0tqVQqY0NeXh6WZVFdXQ2kT672IcP7wi7Lsqiqqsp4TG3DR7B3QoM7wzYpJZs3b84EMni9\nXgoKCnZ7GKUtNPjzzz/n5ptvpqKiIrOtn/70p/Tt25e7776burq6r4Tfzpw5k+XLl+Nyubjkkksy\n5WUWLVqUybE57bTTGD9+/B4dt86y7YsvvuCBBx5A0zSklJx00kkcc8wx+9S2pqYmpk6dSjweRwiB\nx+PhL3/5Cz6fjw8++IBHH30UKSXjx4/ntNNOOyBsC4fDTJs2DUjf/IwaNWqf2zZjxgzeeeedzP/D\n9uHJnX3cdsRBLSZ7yqZNm/bKnf6e8sgjj+D1epk8eTJPPPEE48aN+9qhhm3Xu/rqq7nooovo16/f\nXrX1gw8+4JZbbqG2thav18uQIUO49dZb9zhM+EChTUyyZMmyc751cybfBs4999zM6yeeeIL+/fvv\nkpi0X+/uu+/emyYC6SiTCy64gPvvvz/jbs+fPz8zB5QlS5bvDt+6OZODkdmzZx+w/UzaZ/luy8MP\nP8wZZ5zRYUz5Rz/6EcXFxTQ2NjJlyhTGjh3LCSecwCeffAKkY+Obm5tRStGvXz9mz54NpDOIX331\nVdavX8+PfvQjjj32WI499liWLl0KwBtvvMGkSZM477zzOProo7nooov4DjvVWbIccGQ9k1b+XNXE\n53GrU7fZ32tyfZedl2b5/PPPufvuu3nuuecOyH4mO4ux//zzz5k8efJ237vjjjsYNGgQ//znP1m8\neDGXXXYZr7zyCsOHD2fp0qV069aN7t2788477zB58mTee+897rjjDoQQzJkzB4/Hw5o1a/jlL3/J\nwoULAfj4449ZvHgxpaWlnHTSSbzzzjuMHDly136MLFmy7FWynsl+ZsmSJZx88skHbT+THfHOO+/w\nk5/8BEhXBG5sbCQcDjNy5Ejeeust3nrrLc4991w+++wzqqqqyMvLw+/3Y9s211xzDWPHjuX888/v\n0Mf+sMMOo2vXrmiaxsCBA7+2qnCWLFn2HVnPpJWv8yAOBPZHP5PjjjuOhQsXbjc2vX///ixfvvxr\nqxC356ijjuLhhx+mvLycG264geeff5758+dn4uhnzJhBUVERr7zyClLKDlWD29fa0nV9t4UuS5Ys\nnU/WM9nPjBo1innz5h2w/UwKCgp22M/kvPPO48knn+T999/PLFuwYAE1NTWMHDmSp59+GkjPd4RC\nIYLBYKbG0Jo1a+jRowcjRoxg+vTpHHXUUUA6Z6WtMvCcOXOygpEly0FC1jPZzxzM/UyKi4u5//77\nueWWW6irq0PTNEaOHMkxxxzDddddx5VXXsnYsWPx+Xz87W9/y3zu8MMPzyQcjhw5kltvvTXjmfzi\nF7/gF7/4BU8++STHHHNMNiosS5aDhGyeyQGYZ5LlwOFAyTNpS+TMkuVAJeuZZMmyh8ybN4+VK1dm\nouwgHTYthGDy5Mk8+uijfPjhhwghGD9+PGeccQaaprFlyxbuv/9+KisrEUIwZMgQzj///Expmksv\nvZTjjjuOJUuWsHnzZh577DHmz5/Pf/7zH+LxOPn5+VxwwQUMGjRof331LFkyZMUky9eyaNEi/vCH\nP3RYVlFRwaOPPrqfLDqwGD16NHPmzMnUdXMchzfffJPf/OY33HfffeTm5nLvvfeSTCa5/fbbKSgo\nyNSMO/XUUzn00EOJx+PcddddzJkzp0PS6htvvMHUqVPJycmhurqaF154gT/96U+EQiFqamoyw4VZ\nsuxvsmKS5Ws55phj9rhG07eZ/Px8Dj30UN566y0mTJjAsmXLCAaDhEIhPvzwQx555BFcLhcej4eT\nTjqJl19+meOOO47S0tJMxQLTNDnppJN46qmnOmz7hBNOyNRb0jQNy7LYuHEjOTk5FBcX7/PvmiXL\njsiKSZYsncDYsWN58cUXmTBhAosXL2bMmDHU1dXhOA4XXnhhZr225mcATU1NPPLII3z22WckEgmk\nlF/pHNq+gGZpaSnnnnsuc+bMYePGjQwZMoQpU6bstZLiWbJ8E7JikiVLJzB8+HAeeugh1q9fz/vv\nv89ZZ52FrusYhsHMmTO3O3n+73//G4C77rqLQCDA0qVLefjhh3e6n1GjRjFq1ChisRgPPPAAjz/+\nOJdffvle+U5ZsnwTsnkmWbJ0Ai6XiyOPPJJ7772XPn36UFhYSH5+PkOGDOGf//wnsVgMKSVbtmzJ\nNMeKx+N4PB58Ph8NDQ3Mnz9/p/vYvHkzK1aswLIsXC4XLpdrv3YozJKlPVnPJEuWTmLcuHEsWrSI\niy++OLPssssu4/HHH+eaa64hHo9TUlLCKaecAsBPfvIT/v73v3POOedQWlrKmDFjeO6553a4fcuy\nePzxx9m0aRO6rtOvX78OQ2hZsuxPsnkmB2CeycHSz+SJJ55g2bJlmSY830a+SZ5JXV0dV111FQ88\n8EA22TLLd46sZ3IAcrD0M8myFSklCxYs4Oijj84KSZbvJFkxOQCYPXs206dPRwjBgAED6NGjB36/\nn4qKikyfkrYyKffddx8vvvgiiUSC4cOHM23aNBYsWPCV9X76059mStLPnTuXe+65J1NO5eabbwbS\n/UwuvPBCXnzxRbxeL48++ijFxcXMmzePadOmoWkaOTk5zJs3b4e2b968mUmTJlFVVcWPf/xjrrvu\n/9u787gqy/z/4y8gY1HREEuHvv4yNVzCNYVJJjgmgYqioZlLShaTOZrpZCJRZrmNZeReua9ZKWgq\nKSibUa5Faj4cMwWNch0LBBe23x/IPeIC6OEIZ3o//4JzrnPf1zlUn67r3PfnPQaAQYMG8euvv3L5\n8mVCQ0MZNGiQcc60tDSgKEgrNjaWWbNmMWLECBwcHDhw4ABnzpxhxowZfP755+zZs4e2bdsa7VjG\njBlDamoqly5dIjAwkLFjxwLQrl07nnnmGWJjY8nLy2PBggU0adLEUn+yEi5dukRoaCh169YlPDz8\nrpxTpKpRMbnqx5x8/siv2B2/WnY2tHAqvQWGNeeZQFFsb3JyMo6Ojvj7++Pn50fr1q2ZMWMG9913\nHxcvXsTf35/AwMAyL2H9448/iImJYfPmzTz33HNs3LiRyMhInnrqKfbv34+Hhwfh4eHcd9995Ofn\nExwczI8//kiLFi0AqFOnDtu2bWPRokXMnTv3rq3OHBwcWL58+V05l0hVpau5Kpm155n4+Pjg4uKC\no6MjXbt2ZefOnQDMnz/fSHDMyMjg6NGjZX4WTz31FDY2NjRr1oy6devSvHlzbG1tcXd3N+a2fv16\nnnzySTp16sS///3vEnkn3bp1M97L8ePHyzyfiFQcrUyuKmsFURVUtTwT4IZLU21sbEhJSSE5OZmY\nmBicnJzo2bOn0T7/2vHXz704r8TW1rZEdomtrS35+fmkp6czd+5cYmNjqV27NiNGjDCOCxgXUyjr\nROTu08qkkllznglAUlIS58+f5+LFi3z11Vd06NCBzMxMateujZOTEz/99FOJvJO6dety+PBhCgoK\nSrTKL4+srCycnJxwdnbm9OnTbNu27bZeLyKWo5VJJbPmPBMoitIdMmQIv/76K71796Z169Y0a9aM\npUuX0rFjRxo1akS7du2M8W+++SYDBgzA1dWVVq1akZ2dXe7P6tFHH8XDw4PHH38cNzc3OnToUO7X\niohl6T6TKnifiVQdVSXPRKSq0zaXiIiYTdtcUiblmYhIWbTNpW0uKYW2uUTKR9tcIiJiNhUTEREx\nm4qJiIiYTcVERETMpmJSBS1ZsoTPPvsMKGotf/LkyTJfc/24UaNGldm3y1wpKSk0atQIk8mEyWQi\nODjYIudZvXo1YWFhFjm2iFQMXRpcBVlTnomXlxcrV6685fN5eXncc4/+MRP5X6d/y6sAa84zuZkR\nI0Zgb2/PgQMHaN++PWFhYYSHh3Po0CFyc3MZM2YMXbp0uSGpccCAAQwbNoyOHTvy6aefMmPGDGrV\nqkWLFi10CbdIFadicpXyTO4sz2THjh2YTCYAevTowahRowD47bff2LRpE3Z2dkyaNAlvb29mzJjB\nH3/8gb+/P0888cQtj3nq1CmmTZtGXFwczs7O9OrVCw8Pj1LnISKVS8Wkkt1JnsmcOXO4ePEi58+f\np2nTpvj7+99y/LV5JoCRZ9K1a9cb8kySkpKA/+aZBAUFGRkht3Krba7u3btjZ1dUSBMTE9myZQtz\n584Firofl9aJeO/evSXm3LNnT37++edS5yEilUvF5CrlmdxZnsmtVK9e3fi5sLCQRYsW0bhx4xJj\nfvjhBwoKCozfzXkvIlK5dDVXJbP2PJPyMJlMLFiwgOLOPfv37wfg//7v/zhw4AAFBQVkZGTw/fff\nA0V57t9++y3/+c9/yM3Nve3vbETk7tPKpJJZe55JeYwePZqIiAh8fX0pKCigQYMGrFy5Ek9PTxo0\naIC3tzdNmjShZcuWxpzHjBlD165dqVWrltnnFxHLU6NHXSUkpVCjR5Hy0TaXiIiYTdtcUiblmYhI\nWbTNpW0uKYW2uUTKR9tcIiJiNhUTERExm4qJiIiYTcVERETMpmJSBVlDnklOTg7u7u5kZWWVeHzQ\noEGsW7euws5z/Phx1q5dW+aY0hpHiojlqZhUQSEhIfTt2xe482ISGRmJu7u7xebo5OSEyWRi06ZN\nxmOZmZns2rXLaB5ZEU6cOEFUVFSFHU9ELEP3mVw1PSGdw6dzKvSYj9zvxD9N/6/McdaaZ9KrVy8W\nL17Ms88+C0BMTAy+vr44ODjg6enJpk2bcHV1paCgAC8vL2JiYsjKymLYsGHk5OQQEBDAxx9/TFpa\nGoWFhUyYMIH4+HhsbGwYNWoUPXv2ZOLEiRw+fBiTyUTfvn3x9fVl5MiRXLlyhYKCAhYvXlwifCst\nLY0hQ4Ywffp0xo8fz6RJk4z29YGBgUydOlXtWUQsQCuTSlacZxIVFUViYiKTJk0ynuvevTutW7dm\n3rx5JCQk4OjoyAsvvEBsbCzJyclcvHjRyDO5flyx4jyTtWvXEh8fT2pqqtG7qzjPJDExES8vL1as\nWAFg5JkkJiayfPnyW87dZDKxb98+o0lldHQ0Tz/9NLa2tvTu3dvYnkpKSqJFixa4uroSERFBaGgo\nSUlJ1K9f3zjWxo0bOXDgAAkJCXzxxRdMmDCBU6dOERERgZeXFwkJCQwdOpSlS5cSGhpKQkICcXFx\nJY5x5MgRhgwZwsyZM2nTpg39+/c3tgt//vlnLl++rEIiYiFamVxVnhWEJVhznsm9995LQEAAGzZs\nIDAwkP379xtBWf3792fQoEG89NJLfPrpp/Tr1w+APXv2GHfOBwcH8/bbbwOwa9cunn76aezs7Lj/\n/vv561//yvfff0/NmjVLnPOxxx7jww8/5NdffyUwMJCHH34YgLNnzzJo0CAWL15sbO/16NGDDz74\ngPHjx7Nq1SpjBSUiFU8rEytSnGeycOFCkpKSGDhwoMXyTMaNG0dGRgZ+fn7GyuNmevXqxbp169iw\nYQNdunShWrVqALi5uVG3bl22b9/Od999x5NPPnnH87xWcHAwy5Ytw9HRkX79+rF9+3YAnJ2dcXNz\nY+fOncZYJycnfHx82Lx5M+vXryc4OLhC5iAiN1IxqWTWnmfSsWNHjh49yuLFi+nVq1eJ54oz3Xv0\n6GGkLrZr186Yd3R0tDHW09OTdevWkZ+fz9mzZ9mxYwdt2rS54X2lpaXx0EMPERoaSkBAAAcPLTWK\n0gAAFK9JREFUHgSKVklLlizh888/L3H118CBAwkPD6dNmzbUrl271PctIndO21yVzNrzTGxtbene\nvTvr16+/oUgFBAQwcuRIY4sLYOLEiQwbNozIyEg6deqEs7MzAN26dWPPnj2YTCZsbGx46623eOCB\nB3BxccHOzg5fX1+effZZrly5whdffME999zD/fffz6uvvmpcnly9enVWrlxJnz59qF69OgEBAbRq\n1YqaNWuWmIOIVDw1elSjR4tJTU3lzTffZMOGDcZjOTk5ODo6YmNjQ3R0NNHR0Sxbtsxiczh58iQ9\ne/bkm2++wdb29hfiavQoUj5amYhFzJw5kyVLljB37twSj+/bt4+wsDAKCwupVasWH374ocXm8Nln\nnzFlyhTeeeedOyokIlJ+WploZVKmP3OeiVYmIuWjYqJiIqVQMREpH639RUTEbComIiJiNhUTEREx\nm4qJiIiYTcWkCrKGPBOAlJQUBgwYYNFziIh10H0mVVBISIjx8+rVq2natCn16tUr9TXXj4uMjLTk\nFEVESlAxuUp5JrefZ3IrP/zwA2+99RbZ2dm4uLgwa9YsMjMzGT58OFu2bAGK0hGfe+45Jk6cyPz5\n84274BMTE1m8ePGf4h4Wkf8l2uaqZNacZ3Izubm5jBs3joULF7J161b69+/P5MmTadKkCVeuXCE9\nPR2AdevWERQUhLe3N0eOHOHs2bNA0Qqrf//+Zn2mInL3aWVylfJMbj/P5GaOHDnCoUOH6NOnDwAF\nBQXcf//9AAQFBbF+/XpeeeUV1q9fz/z587GxsaFPnz6sWbOGfv36sWfPHmbPnn1b5xSRyqdiYkWK\n80zi4uJwc3Nj2rRpFssz2bt3L3Fxcfj5+REXF4eLi0u5jllYWIi7uztfffXVDc8FBQXx4osv0q1b\nN2xsbIxgq379+jFw4EDs7e3p3r17iRheEbEO2uaqZNaeZ3K9xo0bc+7cOXbv3g0UbXsdOnQIgIYN\nG2JnZ8f06dMJCgoyXlOvXj3q1atHZGSkWsWLWCn9L2Als/Y8k+3bt9OqVSvj9wULFrBw4ULeeOMN\nMjMzyc/P5+9//ztNmzYFilYnEyZMYM+ePSWOExwczLlz53jkkUfK98GJSJWiRo9q9FglhIWF4eHh\nUeXuW1GjR5Hy0TaXVLrOnTtz8OBBevfuXdlTEZE7pJWJViZlUp6JViYiZVExUTGRUqiYiJSPtrlE\nRMRsKiYiImI2FRMRETGbiomIiJhNxaQKspY8k5ycHIYOHYqPjw9PPPEEgYGBN70L/3YpJ0XE+ugO\n+CrIWvJM5s+fT926dfnoo4+AoiaP1apVs/h5r5eXl6d+XiKVTP8GXnX0bAEXLlfsMWvYw8OuZS/+\nrDXP5NSpUzz44IPG740bNwaKskr69euHp6cnu3fvpl69eixbtoyTJ0/y4osvsm3bNgCOHj1KaGgo\n27ZtIz4+noiICBwdHfH09DSOmZ2dTXh4OIcOHSI3N5cxY8bQpUsXVq9ezaZNm8jOziY/P5/169ff\n8d9JRMynba5KZs15Jv369WP27Nl06dKFKVOmcPToUeO5o0eP8vzzz7N9+3Zq1arFxo0badiwIc7O\nzuzfvx+ATz/9lH79+nHp0iVGjx7NihUr2Lp1K6dPnzaO8+GHH+Lt7c2WLVuIjo5mwoQJZGdnA7Bv\n3z4WLlyoQiJSBWhlclV5VhCWYM15Jh4eHuzatYvExESSk5N56qmniImJwcHBgQYNGuDh4QFAy5Yt\nOXHiBAADBgxg9erVNG/enHXr1rFlyxZ++uknGjRoYLSk7927t1HEEhMT2bJlC3PnzgWKOicXdzH2\n8fEp8/MSkbtDxcSKVMU8kxo1ahAYGEhgYCC2trZs3bqVwMBA7O3tjTF2dnbGPAMDA3n//ffx9vam\nVatWuLi4lNrivrCwkEWLFhlbaMW+++47nJyc7vi9i0jF0jZXJbPmPJOdO3fy+++/A0VtRw4fPlyi\nff7NODg4YDKZeP31143skiZNmnDixAmOHTsGQHR0tDHeZDKxYMECirv+FG+RiUjVopVJJbPmPJO0\ntDRef/11oCiet3PnzgQGBhpbWrcSHBxMTEwMvr6+QFGBmT59OgMGDMDR0REvLy+jMI4ePZqIiAh8\nfX0pKCigQYMGrFy5stTji8jdp0aPavR4182ZM4esrCzCwsIqeyplUqNHkfLRykTuqsGDB5OWlkZU\nVFRlT0VEKpBWJlqZlEl5JlqZiJRFxUTFREqhYiJSPrqaS0REzKZiIiIiZlMxEat16NAhtmzZUtnT\nEBFUTKoka2lBn5KSQqNGjTCZTPj4+BAcHMyZM2cq5NjHjx/niSeeuOXzeXl5jB8/npYtW5Z6nM2b\nNzNz5swKmZOI3JqKSRUUEhJC3759gTsvJpGRkbi7u1tsjsW8vLxISEggKSmJNm3asGjRonK/trh9\ny504evQor7/+OvXr1y91XEBAAK+88sodn0dEykf3mVQB1tqC/lqFhYVcuHCBhg0bAkW9s9544w0u\nX76Mg4MDM2fOpHHjxje0jl+5ciWDBw/m999/Jy8vj7CwMOMO/by8PIYOHcr+/ftxd3dn9uzZODk5\n8f7779/wGdjY2DB//nyWLl2KnZ0d7u7ufPLJJ6xevZrU1FSmTp1quT+giGhlUtmsuQU9wI4dOzCZ\nTLRp04bk5GT69+8PFPXb2rBhA/Hx8YwdO7bE+7q2dbyDgwNLlixh27ZtREVFMX78eKMP15EjR3j+\n+edJSUmhZs2aLF68GMD4DJKSksjOziY2NhaAmTNnsm3bNpKSknjvvffM/dOIyG3QyuSq6tsncs/Z\ngxV6zDzX5mT/LaLUMdbcgh6KtrmKe2XNnDmTCRMm8P7775OZmcnw4cM5duwYNjY25ObmGq+5tnV8\nYWEhkyZN4ttvv8XW1paTJ08aeSZubm5GUFbv3r2ZP38+//jHP9ixYweffPIJeXl5nDx5kubNm+Pv\n70/z5s15+eWX6dKlS5n9x0SkYmllYkWKW9AvXLiQpKQkBg4caLEW9OPGjSMjIwM/Pz+jo3FZAgIC\n2LFjBwBTp07F29ub5ORkli9fbnQ8Bkq0jl+7di3nzp1j69atJCQkULduXWNs8dyK2djYcPnyZV57\n7TU++ugjNmzYQO/evY3PYNWqVQwZMoR9+/bh7+9v1ncyInJ7tDK5qqwVhKV4e3sTEhLC0KFDcXFx\nue0W9IGBgTeMu1bbtm154403OHfuHLVr1yYqKooXX3yx1DkVt6Bv164d8fHxZGRk3DLP5Fo7d+7k\noYceAiAzM9PIo1+9evUtX5OZmYmrqyvVqlXj66+/LtFx+JdffmH37t20b9+eqKgoPD09uXTpEoWF\nhTg7O3PhwgU2bdpEYGAgBQUFZGRk4O3tjaenJ+vWrTMSGUXE8lRMKpk1t6CH/35nUvwf+MjISACG\nDx/OiBEjiIyMxM/P75avDw4OZuDAgfj4+NCqVSuaNGliPNe4cWMWLVrEq6++yiOPPEJISAhOTk70\n79//hs8gPz+fYcOGkZWVRWFhIaGhodSqVavU9ykiFUe9udSbS0qh3lwi5aPvTERExGza5pIy/Zlb\n0ItI+WibS9tcUgptc4mUj7a5RETEbComIiJiNhUTERExm4qJiIiYTcVERETMpmJSBVljOJbJZCI4\nOPim48oKqNq/fz9bt2611DRF5C7QfSZVUEhIiPHz6tWradq0qdHn6lauH1fc1sTSru0afDN5eXkE\nBAQQEBBwyzE//vgjqampdO7c2RJTFJG7QMWkCvhfCMe61ogRI7C3t+fAgQO0b9+eFi1aGAFV1x97\nzZo1/Otf/+LSpUvs3LmTkSNH4uPjw8iRI0lPTzfCsFq0aMG0adPIyMggPT2dX375hZdeeonQ0FBL\n/ElE5DapmFxVWXkmxeFYmzZtok6dOpw/f5758+cDReFYCxcuNIoCFAVDvfbaawAMGzbMCMe6flyx\n4nCsuLg4ateuzTPPPENMTAxdu3Y1wrHCw8OZMGECK1asYPTo0UY4Vv369fnjjz9KnX9xo0eAHj16\nMGrUKAB+++03Nm3ahJ2dXYmuwdcf+95772Xs2LEl0hDHjRuHh4cHy5YtY/v27QwfPpyEhAQAfvrp\nJ6Kjo7lw4QKPP/44ISEhVKtWrVx/DxGxHH1nUsnuJBwrICAAHx8fvv766zK/F7k2HOuee+4xwrGA\nG8Kxitu/F4djLV++nPz8/FKPX5wBn5CQYBQSKCqEdnZ2N4wvz7F37txJnz59APjb3/7G+fPnycrK\nAsDPzw97e3vq1KmDq6srZ86cKXV+InJ3aGVyVWXlmdyO4nCsuLg43NzcmDZtmsXCsfbu3UtcXBx+\nfn7ExcWVK8/kWtWrV7/p4zc79u24tv3NtXMWkcqllUkl8/b25ssvvzTSDG83HOtm467Vtm1bvv32\nW86dO0d+fj5RUVE8/vjjpc6pOBwrLCyMOnXqkJGRYdZ7LOvY1atXLzF3Ly8v1q5dCxRdMebi4kLN\nmjUrbA4iUvG0Mqlk1h6OdbtuduwHH3yQWbNmYTKZGDlyJGPGjDG+iHdycmLWrFkVdn4RsQx1DVbX\nYCmFugaLlI+2uURExGza5pIyKRxLRMqibS5tc0kptM0lUj7a5hIREbOpmIiIiNlUTERExGwqJiIi\nYjYVkyrIWvJMAL777jt69uyJp6cnTz75JP379+fgwdIbZp49e5aAgAA6derEjh07+PLLL+nYsSO9\nevWy+HxFxDJ0aXAVZC15JqdPnyY0NJR58+bRoUMHoKiLcFpaGs2bN7/l67Zv306zZs2MOfbt25fp\n06fj5eVl8TmLiGXo0uCrlwZXz0jgnosV24E2z7Eu2W6mMseVlmcyYsQI6tevX2aeyfXj7kaeydSp\nU7GxsWHs2LE3ff748eO8+uqrnDt3DldXV2bMmMH58+cZNGgQly5dol69enTt2pU5c+ZQv359/P39\nadq0KTExMeTk5HDs2DGGDRvGlStX+OKLL7C3t2fVqlXcd999LF++nOXLl3PlyhUaNmzInDlzcHJy\nYsSIEdSsWZPU1FROnz7N+PHj6d69+x3/DXVpsEj5aJurkhXnmURFRZGYmMikSZOM57p3707r1q2Z\nN28eCQkJODo68sILLxAbG0tycjIXL1408kyuH1esOM9k7dq1xMfHk5qaavTuKs4zSUxMxMvLixUr\nVgD/zRxJTExk+fLlpc69ZcuWt3w+PDycZ555hqSkJIKDgwkPD8fDw4OxY8cSFBREQkICY8aMMeb+\n9ttvG8ddsmQJW7ZsYfLkyTg6OhIfH89jjz3G559/DkC3bt2IjY0lMTGRRx55hFWrVhnnPXXqFBs3\nbmTlypU33GwpIpahba6ryrOCsIQ7yTOZM2cOFy9e5Pz58zRt2hR/f/9bjr82zwQw8ky6du16Q55J\nUlIS8N/MkaCgILp161bu9xIQEEBWVha+vr5MmjSJPXv2sHjxYgD69OnDO++8U67jeHt7U6NGDWrU\nqIGzs7Px/po1a2Z8H3Po0CGmTJlCZmYm2dnZ+Pr6Gq/v0qULtra2uLu7K+9E5C7RysSKFOeZLFy4\nkKSkJAYOHGixPJNx48aRkZGBn5+f0R7/ek2bNmXfvn3G75s3byYsLIzMzMw7nhOUzCyxtbU1fre1\ntTXm+MorrzBlyhSSkpJ47bXXjPb8APb29sbPf+JdXJG7SsWkkllznsnzzz/PZ599xq5du4zHcnJy\njJ/bt29PdHQ0AGvXrsXT07PU896OCxcu8MADD5Cbm8uaNWsq7Lgicme0zVXJrDnP5IEHHuCTTz7h\n3Xff5bfffsPV1ZU6derwz3/+E4DJkyczcuRI5syZY3wBX1HGjh1Lly5dqFOnDm3btr1pIRWRu0dX\nc6nRo5RCV3OJlI+2uURExGza5pIyKc9ERMqibS5tc0kptM0lUj7a5hIREbOpmIiIiNlUTERExGwq\nJiIiYjYVkyrImvJMACIiImjZsiUFBQUWO0dKSgoDBgwwfr72rnsRqXwqJlVQSEgIffv2Be68mERG\nRuLu7m6xORYrKCggJiYGNzc3vvnmm5uOKe6nVVFSUlLYvXt3hR5TRMyj+0yumn1wNj9n/lyhx2zk\n3IjhzYeXOa60PJPU1FRefvnlMvNMrh93N/JMoOg/7O7u7gQFBREdHY23tzcA06ZNIy0tjfT0dB58\n8EHmzp3Lu+++yzfffMPly5cZMmQIgwcPJiUlhffeew8XFxejpf28efOwsbEhPj6eiIgIHB0djb5e\nx48fZ+nSpdjZ2bFmzRqmTJmiUC2RKkArk0pmzXkmANHR0fTq1Ytu3boRFxdHbm6u8dzhw4dZs2YN\nH3/8MStXrsTZ2ZnY2FhiY2NZsWIF6enpAOzfv5+JEyfy9ddfk56ezs6dO7l06RKjR49mxYoVbN26\nldOnTwNFN0sOHjyYl156iYSEBBUSkSpCK5OryrOCsARrzjO5cuUKW7du5Z133qFGjRq0bduWhIQE\n45j+/v5GYUtMTOTgwYNs2LABgKysLI4ePcq9995LmzZt+Mtf/gLAo48+yokTJ4yV2cMPPwxA7969\nyyxsIlJ5VEysSHGeSVxcHG5ubkybNs1ieSZ79+4lLi4OPz8/4uLicHFxueH1CQkJZGZm4uPjA8DF\nixdxcHAwiomTk5MxtrCwkMmTJ9OpU6cSx0hJSSmRP2JnZ0d+fv4dvycRqRza5qpk1pxnEh0dzQcf\nfMDevXvZu3cvu3fvJjk5uUSmSTGTycSSJUuMbbCff/6Z7OzsW86hSZMmnDhxgmPHjhnnKuu9ikjl\n0cqkkllrnklOTg7x8fG89957xmPVq1enQ4cOxMbG3jB+4MCBnDhxgs6dO1NYWEidOnVKbRTp4ODA\n9OnTGTBgAI6Ojnh5eRkFxN/fnyFDhrB582Z9AS9SRajRoxo9SinU6FGkfLTNJSIiZtM2l5RJeSYi\nUhZtc2mbS0qhbS6R8tE2l4iImO1PXUyqVatW4o5tkWvl5uZSrVq1yp6GiFX4U29zFRYWcubMGRUU\nualq1apRt25d48ZOEbm1P3UxERGRivGn3uYSEZGKoWIiIiJmUzERERGzqZiIiIjZVExERMRs/x/z\nBw67NNUSLgAAAABJRU5ErkJggg==\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "riGCISK6ei8y",
"colab_type": "code",
"outputId": "1a274660-52dc-40c9-b52f-b4c4b7bf9fa3",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 54
}
},
"source": [
"# analysis of statistics and machine learning researchers (with Foucault and Bourdieu there just for sanity check)\n",
"ddata2 = dict()\n",
"ddata2.update(process_item(\"https://scholar.google.com/citations?user=AKqYlxMAAAAJ&hl=en&oi=ao#d=gsc_md_hist\")) # Foucault\n",
"ddata2.update(process_item(\"https://scholar.google.com/citations?hl=en&user=d_lp40IAAAAJ\")) # Bourdieu\n",
"ddata2.update(process_item(\"https://scholar.google.com/citations?hl=en&user=ZpG_cJwAAAAJ\")) # tibshirani\n",
"ddata2.update(process_item(\"https://scholar.google.com/citations?hl=en&user=JicYPdAAAAAJ\")) # hinton\n",
"ddata2.update(process_item(\"https://scholar.google.com/citations?hl=en&user=kukA0LcAAAAJ\")) # Yoshua Bengio\n",
"ddata2.update(process_item(\"https://scholar.google.com/citations?hl=en&user=gLnCTgIAAAAJ\")) # Juergen Schmidhuber\n",
"ddata2.update(process_item(\"https://scholar.google.com/citations?hl=en&user=WLN3QrAAAAAJ\")) # Yann LeCun\n",
"ddata2.update(process_item(\"https://scholar.google.com/citations?hl=en&user=x04W_mMAAAAJ\")) # Ilya Sutskever\n",
"ddata2.update(process_item(\"https://scholar.google.com/citations?user=0RAmmIAAAAAJ&hl=en&oi=sra\")) # Kyunghyun Cho\n",
"ddata2.update(process_item(\"https://scholar.google.com/citations?user=iYN86KEAAAAJ&hl=en\")) # Ian Goodfellow\n",
"ddata2.update(process_item(\"https://scholar.google.com/citations?hl=en&user=yxUduqMAAAAJ\")) # Michael Jordan\n",
"ddata2.update(process_item(\"https://scholar.google.com/citations?hl=en&user=tQVe-fAAAAAJ\")) # Trevor Hastie\n",
"ddata2.update(process_item(\"https://scholar.google.com/citations?hl=en&user=vtegaJgAAAAJ\")) # Vapnik\n",
"ddata2.update(process_item(\"https://scholar.google.com/citations?hl=en&user=WgAGy7wAAAAJ\")) # Tomaso Poggio\n",
"print(ddata2.keys())\n",
"\n"
],
"execution_count": 0,
"outputs": [
{
"output_type": "stream",
"text": [
"dict_keys(['Foucault', 'Bourdieu', 'Tibshirani', 'Hinton', 'Bengio', 'Schmidhuber', 'LeCun', 'Sutskever', 'Cho', 'Goodfellow', 'Jordan', 'Hastie', 'vapnik', 'POGGIO'])\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "tW9c9wxKkebz",
"colab_type": "code",
"outputId": "30936115-0356-40c4-b768-908f563feb62",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 526
}
},
"source": [
"\n",
"ax = None\n",
"ext = None\n",
"for name in ddata2 :\n",
" ext_t,ax=fit_extrapolate(ddata2,name,n_years=3,lag_past=2,ax=ax)\n",
" if(ext is None):\n",
" ext=ext_t.set_index('years')\n",
" else:\n",
" ext=ext.join(ext_t.set_index('years'))\n",
"savedownload('analysis_ml_statistics.pdf')"
],
"execution_count": 188,
"outputs": [
{
"output_type": "stream",
"text": [
"avg_rel_error Foucault = 0.000000 \n",
"avg_rel_error Bourdieu = 0.000000 \n",
"avg_rel_error Tibshirani = 0.000000 \n",
"avg_rel_error Hinton = 0.000000 \n",
"avg_rel_error Bengio = 0.000000 \n",
"avg_rel_error Schmidhuber = 0.000000 \n",
"avg_rel_error LeCun = 0.000000 \n",
"avg_rel_error Sutskever = 0.000000 \n",
"avg_rel_error Cho = 0.000000 \n",
"avg_rel_error Goodfellow = 0.000000 \n",
"avg_rel_error Jordan = 0.000000 \n",
"avg_rel_error Hastie = 0.000000 \n",
"avg_rel_error vapnik = 0.000000 \n",
"avg_rel_error POGGIO = 0.000000 \n"
],
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"image/png": 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VlU8++YTIyEg5nf+FCxdKrJciCLXdsWPHUCgUTqvjU1qOPYsllZuJM0GhpmnI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\n6wD43ve+x8yZM7n33nt55513CkN6AQ499FCWLFnCFVdcgd1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iCQRx+wNUDxxETuTF5MZl\nN7Em1sEfp/yRwb7Be3wNi4LSxadz2oi1ZnvfcA/wVzkZf3LPnDk78nWoh7Iz7r333h5tlSSJxx57\njL///e+oqkp9fT033ngjf//731EUheeff5477riD999/H4/HwyWXXMKmTZu46aab6OzsxOVycffd\ndxfroZB3yq5atYq1a9eSy+Xw+XxMnjyZESNG4PHs3sRjmiki0RcJh5/BNMO4nGPoV3kFXu80JEne\npzf7A4UQBqa5BcPYiGW1kc2CLPfDZpuAotTulZPdNCyycYNoRCcTN1CNfOKQFlnwiWwSimgE12eo\nbdWpBjzVDoaeUkb/MT4cOxmpZTY1YSxYiLFwIcbSpcQ1DcnnQ/3G4diOOgp18mQkR89RZZZlkU3E\nycSiXYIRIR2N0hCOoMWiZBMR1sejmJpW+M53DsubIRsaOrG7q/BV1uANBnD7g7j8AdyBIJu9mwh7\nYxhbpnPXO00cM9TP1acORt1ucMDWaP7H1j7Gp5FPuXbMtXslJlAUlC+dg70eysKFCwsp8CGf3mZr\nlcydtfWkk07iwQcf5KOPPsLhcBCLxfD7/Zx33nkFAQF4//33C/v8+c9/zl133cWQIUNYsmQJN9xw\nA88+++y+XPaDFk3T2LBhA2vWrKGtrQ1Zlhk0aBAjR46ktra2V/OUrrcSibxIJPoSlpXE4z6MsrJf\n4XZP+EqatrY52Ddimo2AgSR5UNUxVFZOJBrV92h/acOiKaaTiGnISYuSnEAGUgg+VQWf2kxsYZ1B\njTmqtmhUmwJP0Ebd0WXUjfP3MGmJXC5vylq4CGPhQqymJoB8+pPTT6fslJOJ19WRS6eIRiOkV36a\nF4xohHSXaGRiETLxGMKyujdWUZB9AXz+ACW1ddSOGZ8Xii6xMGxuhv7nx9jJ0nbOv3G4u79EmMJk\nqb4CErX87p0mpg7wcdvJg7qJyVY+av+IZzY9w2m1p3FizYk9/t5XioLSRV96EgeCg70eypQpU3r4\nUHpr66hRo7jssss45ZRTuhXY2hmpVIrFixdz8cUXF9Zp272l/V/AMAwaGhpYt24djY2NmKaJ3+9n\n6tSpDB8+vFBrZlcIIUinlxCJvEAimRdqn+8oykp/gMs18os4hT3GshIYxiZMcxNCpAAVRalDVQcX\nRmqpqh/oPjpJCEHMErToJs26SWPOIJ42caUsqnKCYbqECwk/gvWKYL4LdLtEeYdOYE2WqZszCFPg\n9KnUTPRTN85PsNZZEFthWVgbNmAsWYKxZAmZTz8lJyyyLifa0MFok8aTC5aQNXQy0SjZpx4lHY/l\nPevboTocuAOluPwB+g0fhdsf6BKLIDZ/gHWOIHGXl+EOmSE7uGUMCxpCOkM+vJpAZgOtJ/+lh5gA\nrDE/xUDn6XdlDqnx8tvTh2BXe8YbNSYauXvF3QzzDeMnI36yT/etKCgHEQdTPZTdtfVvf/sb8+fP\n58033+T+++/n7bff3uV+LMuipKSkUP3x/wqWZbFlyxbWrVvH5s2b0XUdl8vFqFGjGDp0KJWVlb32\nKCwrQyw2h0jkBXLaRhTFT1np9wgGZ2Kz7VvOpgOBZSUxzUYMowEh8jEWeZPWOBSlP5KkYgpBu2HR\nalikOmJ8Hk7RYli06GZ+0iz8pmCMKTPWkDjElAkKCZCIqhKhEhnZq1BikxjYmMO7LEn7xhTCAsmv\nMvSwADWjfJT2d4EQZOIx2j/+lOSypSQ3rCPV1koai4xNJeu0Y4zYLiDQSMHmz7F3uHH5A7j8QaqG\n1SM7XLgDwfzkD+IOBrE5d/4SkLFgSRZSAsY7oGaHJ3QkDZtDGhM/vpyq0DyunKPzix8f0WM/TeZm\n1lsrWboiiFuv5O6zhuw0rUrOzPGL93+BhMQth9yCXdm3AmhFQfmSOeKII/jRj37Ej3/8YyorK/e4\nHsrpp5/eY7vtmTBhArfccgvhcBi/38+LL75YqJi4K7bWQ5k4cSJz586lubl5jwVlV221LIvm5maO\nOOIIpkyZwr///W9SqdQu2+/z+airq+Pll1/mm9/8JkIIVq5cucuU+gczhmHQ3NzM5s2b2bBhA7lc\nDrvdzpAhQxg2bBjV1dW9RrRDPj1KNPIS0dhrWFYSh6Oe6qrrKSmZ/pWLbN8qIqbZgGZGiZg2OkUl\nnWIYHVYZ7YZKq2HSpidoM0w6DItt5dUiSAJGIXGYUPimodBfV3B1bSBUcAZUvH4bzhIVf6dO29ok\nrWuTrGvOIoSJy5elapiOJ5gFESfVGWbp862kOtrIpNNYdO9Z2Pwe3N4S/NXV1PSrxh0IFsxQLn8Q\nl9+Pat92jfckI3LchCU5MAVMckLZdi4h3YTNEYloPMsRS39CaWg+f2kbR2hIz7igjckQS+UPaQu5\niG2pZ9aZg/HYe/qXLGHxwOoHWBNdw+0TbqfKte8vGUVB+ZI5mOuh7A6/37/TtpqmyeWXX04ikUAI\nwYUXXojf7+fEE0/k4osvZs6cOdxxxx3d9vXAAw9www038Mc//hHDMDjzzDO/NoISi8VobGykoaGB\nlpYWTNNEVVUGDhzI0KFDqaur67UWCYCmbSGemEs8Ppdcbi2gUOI7lmDwHFyu3qssHkhMIQibFp1G\nfmrXU4T0OG16ig4TOgwHIWsMYdOGxfbt1LBLGv1UhX42mcluO/0UiUGWTK0G5YaCGc0hzPxDX7FJ\nOP0qTp+Kw6diWQZNK1pY/2EzoU2taJkIwoqjqkmEiKNn4+SigmjjtiM6TAtXVqNE0+mHjKeqGl/9\ncHyHTsQ7agz2XsyLe0vIgKU5sEkwxdV9eHA4DRvDMpKW5NhlF+PrXEL02N9y2vAzOW27fQgheHVN\nG+Gy93DYJWrSU7h4xs79agk9wR+W/4H5oflcNOYiplbsnyJoxXooxXooe0Sxjb2zu9+Vruuk02lW\nrFhBQ0MD8XgcyAtwXV0dAwYMoKqqClXt/V1P05qIJ+aSiM8lm/scAJdrLD7fsZSUnLBPNUn68mat\nWYKQadFhWIS6eg+hrZOZn3caFhHTwtrJ932yQaUClTZ7flJlKlSlay5TpSr4ZdAzFtlEfhhvLmFi\nmQIhLCSymFYc04hh5OJk4hFirSGSoTDZRARTT8L2PQxJwlUSwON24zYEzngcZ3Mrzmgcl6bj8vhw\njB+PMm4c6iHjkQcNQuqDmO/rdWzSYYUGHhkmOcDZJSaaAZujEuG0TAkxpi2+CGdoOZHj7yY79NTC\ni2djYyPhtM5dbzdQOXwF9QMTjNSPYYSvZ34ugPWJ9fx62a9pz7Zz8fCLufDQC+ns7Nxl+4r1UIoU\n+YqgaRptbW20tLTQ3NxMR0cHQggURaGmpoZx48ZRV1fXawQ7dCUezK0nmZpPIvEfstk1ADido6ms\nvJQS33HYbPs2uEQXgohh0ZrMsD6Vo9OwCHcJxNb51p5G3Or5LqoAZapMuSLRT9EZZU8RlKKUKWlK\nZY1ym4dKWzkV9ircas8YDCEEWsok1Z4m0hKioSNENhlFS0XRs1H0bIxcKkomEcHq8dKgIMk+JNmH\n3TOI0ooyyquDlMkZ3M3N2NauRyz4DLrMsVK/fqjjx6OOH4cyfjxy//5faE9OCFiv56cyGSY485UX\n0zq0xiVCqXxbBjo7Gfv+j7CF1xI58T6yg/KjKK2uUWFz10W5+51Gxo5uZcTgBKPliQx17lxM3mh+\ngz+t+hMlthL+MPkPjA6M3q/nXBSUIr2yq3oojz322Jfcsq8elmWRTCb59NNPaWlpIRQKIYRAkiQq\nKys55JBDGDlyJG63u0+9ENNMkkp9TDI1n1RqIYbRAYDTOYrKikspKTl2lw52IQRJSxAxLWKmIGpa\nxEyLqJlfV5gMi0jXumRBJLq/sboliVJVpkyRGWxXmezO9yLKFZnyrnmZksZHG5JoxTTbAYP86Kxq\nFKUORalBkuyFmItQdAOpcJh4W4hERyepSCeZWIRcKoqRS3U/GUnCVeLH4Q5g91ajOoeRS7sxDQ+S\n7MNbXkbloABljhjB2HqUjaswP16Ctbkh/31ZRq6vRzn9dNSxY1HGjEauqNiDO7t/yXQFLLaZecf7\naBukctASl4lmJWRJUOEV1Kohat/4EWpsI+GT/kRuwDGFfVxy9S9Yrgzjptc2ctQYnSMPa6dWHsgQ\npefIPc3UeGjNQ7ze9DoTSidww7gbCNj3bwExKJq8iiavPaTYxm0IITAMA13XMQwDwzAwTZOmpiY+\n/vhjKisrqa6uprq6mn79+hWKVu3ODCKESS63gWRqAankfNKZ5YCJLHuxuadiuqahOQ4lIfmJmBbR\nLlGIGqL7Z9Mibgp2dRVUIKDIBFWZoCJRqsgEuz4HFJlBQT+2dIoyRaZMlXHtJHZBCA3TbMM0W7Cs\nVoRIIyyBllLJJT3kEg6yMYt0LEY6GiEdDZOORMjEoz1iLmTVjtMbxO0vxVNWiq+iDJe/FEP3kI27\niIdUIs06VlfgoSegUlUu8GY2E2hbjm3dZ1gNDdC1XykYQBk+AmXMGNSxY1BGjEA6QP6P3bHjvdYF\nbNBhsw4SMESFgAEtCZmUJqHKgn4+QT+vwJFppey1i1ASTYRPfhCt/zQA1oUyPP1JO2+siSCE4IdH\n+KkZuxin5OZI9WTUHYJSWzOt/HrZr1mXWMd3B3+X84eej7JdEGhvZrmiyatIkf3MVvHYcdqKLMuo\nqorT6aR///6MHTt2lz0QSwgSXb2GiJ6iI7uZzmwTnbkOInqChHCQoISU/B1S6uUk8RG1VDIpIAV5\nv8C2tCgS4FckgkqXGNhVAopEoOtzQJHwb7ccUGS8srRbU0d5WQkh0T3eR88mSUU3kYo2kok1k452\nkonnyMY1snGLTDxLNp7qKRaKisMbwO7y4w4MIljjx+724w6WUlJZTqCmHFfAQyp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IoStD4+wdJ4/vx5YmNjsdlsREREBDWDoKqqmM1mbDYbMTExrF+/noEDB/LPf/6Tbt26MXfuXKqq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\nFIRBEQgEAkFQEAZFIBAIBEHh/wDF2OwU3MDwvQAAAABJRU5ErkJggg==\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "bRFwqfA0O09L",
"colab_type": "code",
"outputId": "1e24f513-6a3d-45c7-ede9-1f3ac14a04d5",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 303
}
},
"source": [
"ext[-6:].plot()"
],
"execution_count": 193,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"<matplotlib.axes._subplots.AxesSubplot at 0x7f1fc4d90940>"
]
},
"metadata": {
"tags": []
},
"execution_count": 193
},
{
"output_type": "display_data",
"data": {
"image/png": 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7mzZtory8nOnTp+v1c84XIQRhgS4ewTpERa1jS8xkUDAZFeLMBu121Y/ZoJBh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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "TFq0XRedRiRT",
"colab_type": "code",
"colab": {}
},
"source": [
""
],
"execution_count": 0,
"outputs": []
}
]
}
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