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@wiso
Created March 9, 2016 01:56
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"application/javascript": [
"require(['codemirror/mode/clike/clike'], function(Clike) { console.log('ROOTaaS - C++ CodeMirror module loaded'); });"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"application/javascript": [
"IPython.CodeCell.config_defaults.highlight_modes['magic_text/x-c++src'] = {'reg':[/^%%cpp/]};"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Welcome to ROOTaaS 6.06/00\n"
]
}
],
"source": [
"import ROOT\n",
"import numpy as np"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"from matplotlib import pyplot as plt\n",
"%matplotlib inline"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"f = ROOT.TFile.Open(\"Bkg_Template_allcat_TOPO_PTDEP_8.0_lead50_sublead50_norm26_47_finalversion_iso8.root\")\n",
"histo = f.Get(\"bkg_total_gg\") # nominal histogram from Jan with log-binning"
]
},
{
"cell_type": "code",
"execution_count": 66,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"def get_historelerrors(h):\n",
" \"\"\"\n",
" return an histogram with the relative error of the original histogram as content\n",
" \"\"\"\n",
" he = h.Clone()\n",
" for ibin in xrange(0, h.GetNbinsX() + 2):\n",
" if he.GetBinContent(ibin) != 0:\n",
" he.SetBinContent(ibin, he.GetBinError(ibin) / he.GetBinContent(ibin))\n",
" else:\n",
" he.SetBinContent(ibin, 0)\n",
" return he\n",
"\n",
"def get_histoerrors(h):\n",
" \"\"\"\n",
" return an histogram with the error of the original histogram as content\n",
" \"\"\"\n",
" he = h.Clone()\n",
" for ibin in xrange(0, h.GetNbinsX() + 2):\n",
" he.SetBinContent(ibin, he.GetBinError(ibin))\n",
" return he"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Fit the nominal histograms\n",
"I am using a very elastic function, to try to catch all the features"
]
},
{
"cell_type": "code",
"execution_count": 67,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
" FCN=0.530638 FROM HESSE STATUS=NOT POSDEF 40 CALLS 1009 TOTAL\r\n",
" EDM=8.03424e-08 STRATEGY= 1 ERR MATRIX NOT POS-DEF\r\n",
" EXT PARAMETER APPROXIMATE STEP FIRST \r\n",
" NO. NAME VALUE ERROR SIZE DERIVATIVE \r\n",
" 1 p0 9.94973e-03 2.31424e-03 2.40312e-08 1.90690e+00\r\n",
" 2 p1 5.44813e+01 3.60333e+00 5.47583e-05 -7.98394e-04\r\n",
" 3 p2 -9.53338e+00 6.77100e-02 2.27293e-06 -6.19194e-02\r\n",
" 4 p3 -1.29339e+00 1.79255e-02 3.08369e-07 2.03167e-01\r\n",
" 5 p4 4.75074e+01 1.61024e+00 1.78106e-05 2.48128e-03\r\n",
" 6 p5 2.75751e+01 5.31258e-01 6.57440e-06 -7.89565e-03\r\n"
]
}
],
"source": [
"function = ROOT.TF1(\"function\", \"[0] * (1 - x/13E3) ** ([1] + [4] * log(x/13E3) + [5] * log(x/13E3)**2) * (x/13E3) ** ([2] + [3] * log(x/13E3))\")\n",
"histo.Fit(function)\n",
"central_function = function.Clone()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### By eye the result seems to be good, plot it.\n",
"Maybe we want to add the residuals as systematics?\n",
"\n",
"Note that the histogram is a pdf (it is a density of events, it has bin divided by the bin-width)"
]
},
{
"cell_type": "code",
"execution_count": 68,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
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LSz0HAwBAhrrdhtYncOih5AmXsmVMx+S67n/9139VclQAAOQkMFCoNpkxyTYd04wJngEA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\nSQAAAABJRU5ErkJggg==\n",
"text/plain": [
"<IPython.core.display.Image object>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"canvas2 = ROOT.TCanvas()\n",
"histo.Draw(\"e\")\n",
"function.Draw(\"same\")\n",
"canvas2.SetLogy()\n",
"canvas2.Draw()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Fit the relative statistical error\n",
"Quite easy use a pol3. This is not important to be accurate."
]
},
{
"cell_type": "code",
"execution_count": 69,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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hZLoelstlSAmLxWK1Wi0Wi6IoLi8v6wIDAGcjJeQrmeDzY2h9ZblcXl5ezmazZlbIL8oB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\nQJSgAABECQoAQJSgAABECQoAQNT/AzGIpD41JhdWAAAAAElFTkSuQmCC\n",
"text/plain": [
"<IPython.core.display.Image object>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"\r\n",
"****************************************\r\n",
"Minimizer is Linear\r\n",
"Chi2 = 0.200671\r\n",
"NDf = 49\r\n",
"p0 = -0.32346 +/- 0.671908 \r\n",
"p1 = 0.00132008 +/- 0.00206996 \r\n",
"p2 = -1.39212e-06 +/- 1.8074e-06 \r\n",
"p3 = 7.11403e-10 +/- 4.5179e-10 \r\n"
]
}
],
"source": [
"h_relstat = get_historelerrors(histo)\n",
"canvas2 = ROOT.TCanvas()\n",
"h_relstat.SetTitle(\"relative stat error\")\n",
"h_relstat.Draw(\"h\")\n",
"function_relstat = ROOT.TF1(\"function_relstat\", \"pol3\")\n",
"h_relstat.Fit(\"function_relstat\")\n",
"canvas2.Draw()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Define a function to interpolate the absolute statistical error\n",
"Just as a product of the previous ones"
]
},
{
"cell_type": "code",
"execution_count": 70,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"def _function_stat(x):\n",
" return function.Eval(x[0]) * function_relstat.Eval(x[0])"
]
},
{
"cell_type": "code",
"execution_count": 71,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"function_stat = ROOT.TF1(\"function_stat\", _function_stat, 400, 3000)\n",
"function_stat.SetLineColor(ROOT.kBlue)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Plot it, by eye seems to work"
]
},
{
"cell_type": "code",
"execution_count": 73,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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yexuazdTDarUa+yFAL7smI5JLJwAmaOpBYb1ebzabu7u7sR8I7Kdj64VYTbBTEzALU+9R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\nkCQoAABJ/w9SGRawzYThZwAAAABJRU5ErkJggg==\n",
"text/plain": [
"<IPython.core.display.Image object>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"h_stat = get_histoerrors(histo)\n",
"canvas222 = ROOT.TCanvas()\n",
"h_stat.SetTitle(\"stat error\")\n",
"h_stat.Draw(\"histo\")\n",
"function_stat.Draw(\"same\")\n",
"canvas222.SetLogy()\n",
"canvas222.Draw()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### At this point we have the parametrization of the pdf and the parametrization of the absolute stat error"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Evaluate the parametrization of the pdf to fill a new histogram, with constant binning"
]
},
{
"cell_type": "code",
"execution_count": 74,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"#min_mass = histo.GetXaxis().GetXmin()\n",
"#max_mass = histo.GetXaxis().GetXmax()\n",
"min_mass = 410.\n",
"max_mass = 3000.\n",
"final_histo = ROOT.TH1F(\"h\", \"h\", int((max_mass - min_mass) / 5), min_mass, max_mass)\n",
"for ibin in xrange(1, final_histo.GetNbinsX() + 1):\n",
" a, b = final_histo.GetBinLowEdge(ibin), final_histo.GetBinLowEdge(ibin + 1)\n",
" value = central_function.Integral(a, b)\n",
" final_histo.SetBinContent(ibin, value)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Plot the final histogram, it has no error yet\n",
"The vertical axis is different from the pdf, since this is not a pdf, it is just the number of events per bin"
]
},
{
"cell_type": "code",
"execution_count": 77,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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6KJTtjQCUQFAol6wAwOKizZDEm/OpbFkAWI94ZciMwgo4FQKApQgK6yArALAIQWE1ZAUA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\nrkJggg==\n",
"text/plain": [
"<IPython.core.display.Image object>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"canvas6 = ROOT.TCanvas()\n",
"final_histo.Draw(\"histo\")\n",
"canvas6.SetLogy()\n",
"canvas6.Draw()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### What following is a tentative procedure to propagate the statistical error with toys, it doesn't work, you can skip it"
]
},
{
"cell_type": "code",
"execution_count": 75,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"def create_histotoy(h):\n",
" histo_copy = h.Clone()\n",
" for ibin in xrange(0, h.GetNbinsX() + 1):\n",
" bin_content = h.GetBinContent(ibin)\n",
" bin_error = h.GetBinError(ibin)\n",
" new_content = bin_content + np.random.normal() * bin_error\n",
" histo_copy.SetBinContent(ibin, new_content)\n",
" return histo_copy"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"NTOYS = 1000\n",
"\n",
"y = np.zeros((NTOYS, final_histo.GetNbinsX()))\n",
"xs = [final_histo.GetBinCenter(ibin) for ibin in xrange(1, final_histo.GetNbinsX() + 1)]\n",
"\n",
"itoy = 0\n",
"while itoy < NTOYS:\n",
" h = create_histotoy(histo)\n",
" for ipar in xrange(function.GetNpar()):\n",
" function.SetParameter(ipar, central_function.GetParameter(ipar))\n",
" h.Fit(function, \"Q\")\n",
" h.Fit(function, \"Q\")\n",
" h.Fit(function, \"Q\")\n",
" r = h.Fit(function, \"QS\")\n",
" if not r.Get().IsValid():\n",
" continue\n",
" for ibin in xrange(final_histo.GetNbinsX() + 1):\n",
" x = final_histo.GetBinCenter(ibin)\n",
" y[itoy, ibin - 1] = function.Eval(x)\n",
" itoy += 1"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"yup, ydown = [], []\n",
"yerror = []\n",
"for yslice in y.T:\n",
" yy = np.percentile(yslice, (16, 100 - 16))\n",
" yup.append(yy[1])\n",
" ydown.append(yy[0])\n",
" yerror.append(yy[1] - yy[0])"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/usr/lib64/python2.7/site-packages/matplotlib/collections.py:590: FutureWarning: elementwise comparison failed; returning scalar instead, but in the future will perform elementwise comparison\n",
" if self._edgecolors == str('face'):\n"
]
},
{
"data": {
"image/png": 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YDCjLkiAIaDQa7O7uEgQBzWaT69ev02w2CcOQ8XjMeDy2a2TdbtcWbpvJI8/z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\nQqFQPDnPhXikUHwdhON3H9x2b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rB85Qr+4ZBgMEilUqFarfLBBx8QDAZJpVLcunWLM2fO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wrW99i0ePHnF4eMh7772nf8dFw010lXyxGLNCgYMPP8SFYRYdYXJOFAMgvYnDHLrE5Jwd\nTG6RJoyYZpQwOe++fRy0+23b1yOY3HtmH8uxpW5o4zCWLjH5THK4uIh6MTmsj8m/J5ga4ZY9zhQD\nDo0xuXcD07yS5sxtTO49steyb9fSs2sV1nDi/n0mLhe1YJB4MqmNvcePH+PxePiDP/gD3G43jx8/\n1gbH6ekpHo+Hra0tBY1qtZoyzYfDIW63W7UBT05O2NnZoVAokE6nuX//PmdnZzraLc0VAU5FO+ni\n4oJKpcLOzo6y0aRuSyQS6oBaqVRIp9NqxODz+TRn93o9JpPJtQCy5O9ut8t8Pte6NxQKKdtYmFRr\nZ7Z1/K7HVw48+ou/+Is1cLSO3/kQ4CcQCFwL/Mxms5cS/5xOp68kmi1ihamUMYwXHRMp2sVNRdZY\nqVTY2Nh4RvdIWEDXFccej4d2u00gECASiXB+fk4sFlM6f61WY2dnh0gkouNq0qWMRCKMx2NKpZIW\nCOfn59y5c0ctjGOxmGq9dDod1YoJBAIMczmWH3zA7mpFHdPxexNT2Anb520MywhMcTfHdCW/j2Hp\nSLevgAFTWva5NqbYnGIKWD+mIB1hQBE3BjR6A0dQ2m/PIV3QDKY43MAwlcKYwnGOYeg8xBSpI3vs\ndzDFaAwHoJriAFljDJh1iVMoy7kSGHBm3+5XwYA7SQwo1MZ0cOX6mphiWNzbYna/sV1vGFPouux6\na5jCGQwgJcVzDEdcVETCT+3+SfueFu1x+jgUfqHrCzAVAc5HI7p/9mfMDg9xf+c7BC2wmEqlqNVq\n9Hq9Z9hyohOUTCZJJBL4/X4ajQaA6nSIE6DcDEnxmc1mSafTxGIxYrEYuVxOGXOicSSC0oVCQT/7\nfr+fcDhMPB4nn8+zs7NDqVQinU6zWCzodrt4PB7S6TTJZJJ4PK43SiKML53+WCyGx+Oh0+nQ7XZp\nt9vPuMvJ3wr5bonItYwhSOc4FAqpo5Fc83Q6ZWNjg729PVKplLq2Cevg5s2byggUQe9+v6+sqkAg\noEBZIBBQB6B4PE44HDY3fVb7qFgs8o/+0T9aj629hvG6g0ef1VR52f2/DHvpVULGg8bj8d9g9QyH\nw2sd2a4LAZ6Gw+G1zL6XEdCWvzNyPp/Px2g0YrFYqFW6jKJeBboEALp37x6lUkk1k8bjMel0mtVq\npc2a4XDI5eUl4XCYXq9HNpvV9QkDejabEQ6HGY/HKo49n891fPe73/0uP/vZz+j3++zs7KhOTy6X\nU1ax3+/Hn0wyzGQ4+vnP8WNAmKcY8CeM04hJ4TCHApjcIs2QDiYXrTDMpSnwKYb9m8bUBBv2eTGq\nqGHyVNFuI06p/SvbtTCahl1MnpfxdT9OYypjXxtgmlaiw1S2a72Nae7MMDnwGFNfZO3vPXt92/Y8\nB5i8HAb8R0dM7t2jmUqR2thQxq2AN9///vfZ39/n/v37qvN3cnKi7rfikil/26UpOBgMePfddxmP\nxzx8+JBQKKTuoKL5d9XI5Soz1e/3k0wmFbhaLpfs2tHzZrOpbFgZIz88PNScJLWwiKr3+306nY6y\n0a7Wx263m3A4rEylYDConxtpnPT7fQaDwUt//9axjq9ifOXAo7/tNaxjHa9LXLUwfT5E4+TzOrCv\nKpoN0Gg01PrV7XZrl1RclCRZr1YrHXMDVNiw1+vhthayz8+ZC2tDXN2EwSD7Hh0dqcNTIBBQDaPj\n42OSySSDwUBFkcUBa7Vasbm5qW4hYgkbj8e5d+8eOzs7dDod/Nks47MzgpUKidVKi808puC7xIAp\nSxxXFAGTtjEFng/TNRRBS3E5G2OKQ9Eq8mGKVHFikVGtBxgRbhG8FCeWOAbc8WCKUL/dN44pWnN2\nbU/sfgN7zD27ziKONtMMU+CO7E8MRydhbvcL2HOI/lIbxzHOd+XxLqY4lfeoYa9rYP/12G33cIA2\nDwZkauAAW2McTQg3TvfUg8NCkjGBLk6BPrPv/8A+BwbkWmIK5cFqhfvePSY/+AHNkxP4+teJWnBo\nNBqpKOdVyrrc0CQSCQUbxUloNptp8RyLxajX66xWK1arlQrNyo/b7SabzerNVyQSYbFYYuMszQAA\nIABJREFUqB6SjG40m03Ozs6oVqvaOS0UCrz55psqWtrv92m323S7XYbDIaPRiHa7TbPZZDKZ6Cip\naAkNBoNn7JOFRfQ8wyEYDKrGmNzUXVxc0Gw28Xg8BAIBWq0WPp+PaDTKYDDQ0dNcLofb7dbrEEah\njNm1Wi1arRbpdFoBLhkZFJ0Un8+nP6JfIcDbWjD79YvXvQZzu92Mx+MvxR4QfbSXEa3+siGj3Ff1\nAsFh7r6seLeANtddt4zptFqtFzq0CntJ2Bgul0sFisfjsQoPC7hzNcTt8eHDh7z11luqIzMcDsnn\n80wmE9Vmk79L8nciHo8/A3Dlcjl13pIRYHHBk9Hfb33rW/zoRz8iHo8riCFjxsPhUGsQfyrFIB7n\n7Be/IITJJ7/GMIxCGMAlaX9Es9CL0+xwY3KsG5OjYzg5zI/JP+eYXObCGR9vYECcOAYEEtfWHqah\nIvn5W5i8WsPUCl57XmEhizj3JSbPCqg1wrCgChhQzGu3f2TXIqPdTbvmO5h8eA+HcRwcDun/9KdU\nez3Sd+8qcCfaRqVSid/7vd/j4OBAGT7Hx8f0+31isRjFYpFwOKxaeKJfdX5+zjvvvEM8Hufo6Eg/\nw5ubmwQCAQ4ODrSJsFwu8fl8+nkVECmbzTIajTg4OCCRSJDJZKjX6ywWC9XaSyQStFotTk5OiMVi\nOsombr3S5Gm1WiqTcFWzSz7P8t2T74TX6yUcDquT4Wg0UlbcOtbxuxRr8Ggd6/iKhgA/LypypRvz\nWfGqotkul4tms6nCiVe7Pu12m2g0+sxNeLfbZbFYEIvFtBMkxcaLdI/Asf31+XxKU14sFpydnSnz\noVAocH5+TjabpV6vqwaMsEdOT09JJBIcHh7yrW99i3q9jtvtJhgMMhgM2Nzc5P79+9qRDYfD1FIp\n/D/+MbnVij6m6NvHgCO/xBSRX8MUb24cIKiOAUhEo2CIKdK8OAKdPUyhKhpDonfUxhSKcUzXUCj0\nn+AwecTRTFzZPJgCMYgpRJt2XcICmmIKyrw9RgXDFDq0a3ZjupdlnBG4qH1NAKY8plgVXYaW3U7W\nf4kzeta1ax5giuESBvCR/QcYJ7gAZmxgaM83wYiM++0auzig09C+tsLRUgIHVPJh9B7iGHviE3vd\noislGhbN5RL/fE7x179m+OMfU37nHQgESKfT2k2XUaurhaJ0KdPptDq0xeNxPB4Py+WSxWJBOp1m\nMBiwXC5Vj0vYeMPhUGn24/GY8XjMfD4nk8mwXC65uLhgOBySTqfJZDLa9RQ9JnGV8fl85HI5YrGY\nir+vVivS6bQK0z98+JBms6nAUjqdVoaeiFLLyKjH4/kbN6rCBEylUupKWC6XefTokeqvtFot1T9a\nrVacn58DhrkgFt0CXglbcGdnB7/fz2AwYDgcKoNBHovVdq/XYzweqwA5rN3WXsf4bajBxDDii4I/\nrypa/WVCGjDP6w55vV4Vu37ZkXKfz0en07lW8Nvj8eB2u+l0OtcKaF99Xfb3+Xz0ej2CwSDL5VKN\nMa5rNmWzWS4uLuh0OpRKJdVRm8/nqnezWq2Ix+PaEOp0Ovp9vyrgLczhYDBIo9EgFAoxGAw0dwPc\nunWL999/n2KxqH9PXC4XpVJJ1wCwjEYZJpOUP/6YMCZH/xIDxiQx+U+YsgFMXl9h8o4Hk3NaGNAo\ng8lTI8yImhsD4LRwRtKjGFCqY3+P2X9lhGyIkw+nGI2kJqZJk7DnlMZOB0cbqW/Pccvu78GARVNM\nXvfbbR/a5/YwubVmn3/DruU+Th2SAYZPn3L2s58RvH2b0t6e/r+Vy2VWqxXf/e53abVamtdOTk4U\nrBOzBfncLBYLJpMJBwcHbG1tsb29TavVYjKZMBgMyOVylEolTk9PtWEj+oKSd0V3TNi89Xpdm5XT\n6ZRms6nNCKkfj46O6HQ6miNHoxGz2YxUKqUNRmHeXR3dFNCo3W7/DZaR1+vV73+321WW7xpEWsfv\nSqzBo3Ws4ysco9HohaLZQt//rAL4VUWz3W63WuVKASksi/HY+HbJSI4UxWJnPplMlOIsN7DXFfgi\nWuxyuYjFYpTLZXWh6nQ6erx0Oq03/dFoVAtNl8ulji/j8VhZH4lEglqtRqlUUpvY8XjM+fk529vb\nRhsiEGAChJ4+xb1c6iiWjFF1MYVgHlNACggizJ0gju3vEMMIimGAkRXP6h4JgBTAAEgxTOfx18B3\nMYWfdCXFJniOKVpXPCtyXcWAJV/HdEPdmOJziOlECovoe/b4st5v2LW17bpz9hwiEr6FKT4FKBNn\ntRAO5V/cY5Y4YM8T+7rPvn9TDBB3AwOqPcQUzWH7Pm5iCl5hdC3sZ6GFKfRljMBn/xXR7aU95h17\nrU0MqDWya5nY6zkHTpdLQpUKqX/9r2l88AHHtRrTYJC+BTcB6vU6g8EAcPRTVquVWtkfHx9Tr9eJ\nRCJa/Mp4WaVS0VFK+XxLESxOZvLdEGaDsPPcbjf5fJ58Ps/l5SWHh4f6+RW6fiwWo1AoEIvF6Ha7\nHBwc0Ov1KJVKRKNRLi8vOTk5UQFduWETVpHX69VRNhlrFYHe2WzGdDpVZxxhIjQaDcrlMmdnZ6qL\nJKMBuVyOYrGoltlX2UWj0UiZAS6XS8fTAGVyTSYT1XSS7eV9c7lca/DoNYzfhhrsy4I/brdb2S7/\nIwR0RaD66vnEkvxVQDCPx6Njo9cxiX0+H8vlkn6/fy2A5PP51LAiHA4rUOT1evXvoGgUPc9wcrlc\nFItFPvnkE+LxuP7NFLOAbDarY2iBQED10ARUuDo63+/32djYeIbBJADSfD5XpmMmk+GTTz7RfC56\nSZlMRo/hcrkYBwIs02nKv/wlUUyu+TWGOSQj4MJcjWHYvz2Mlt4Kk7+aOI0On91eBKsTOA6mopP4\nFJM/Zew8imMYMbDHb9r9voHJjyf2/G4Mc2mJyX/9K8+dYjSPJCe37H637Tr8mFwnotsRu04R/y5i\nRt/b9v9tA1j0epz/5//MJBhk87338Pv9jEYjLi8v6fV63L59m9lsRjqdxu/3Uy6XVTg7kUiQzWaf\nMTGZz+c8efKEYDCobmsChs5mM27cuMFgMKBarSpbfDAYKIh4VUg9mUwSjUap1+sqsdDpdFQ4OxqN\nEg6H6Xa7HB8fA5DL5bRBKE0dr9dLuVxWUFK+Z9LElM/a87pgV+UVOp0O0+l0zURax+9ErMGjdazj\nKxqfBfyIE9rndUvEgepVOpzj8VgpxODQ/CUJp9Np3XY+n9Pr9YjFYgoeTadTxuOxdneeD7EGn81m\nxGIxLTqFTn90dMTNmzdZrVbEYjFqtRrZbJazszPS6bSysYLBIKenp8TjcarVKm+//bayRxaLhRYn\nBwcHqs+QSqU4crtJ/eVf4p7NWGAAoz1MYXaKKfDyOAyfMU4ROcUUiyJ4OcEAHUKTj9ptw5jCbowp\nAr0Y8KOAY/X7DZwxtKDdRzSDYpgC0GOPOcR0UVOYIrNvt63bY+cw4M8cw1C6Z7eJYrqSl/Y8QnX3\n44A4GRzASEbfRhgwK2KPKxpJHhxdiUO738xuK/T/PUyhfmDPu4VhWU0xxa2Ub367/5Fd/woH9Grb\n15N2TXGcUQER0z7FgEoiOh7EjLHNlksKJycUPvyQxb/6VzQfPKCcyRDOZkkkEiyXS5rNJuPxWL8T\nQrEvFosAz4i3JxIJUqkUsVhMR8bcbrfaWw+HQwWkhKZfKpXY2Nggm82ysbGhWmJ+v5/bt2+zu7vL\nZDKh0+lQrVY5PDyk1WopuCPgaavV4sGDBzoyKqDp6ekpjUZDwZ9yuUy9Xldh72q1qjcHi8VCr1PG\n+ESb5Jvf/CZf//rX2draUvHUcrlMLpdTzZLno9lsEgwGSaVSKt7tdrt1vC8Wi+nfjouLC2azGcFg\nUEGvZrPJaDTin/2zf7YGj16z+G2owcQ84cuAPwIMvywj98uGsG6uAl7CJHoVEOyqI+J1+TwQCGj+\nvW4kTgS0BdwWIE5MAabTKalU6tpziCDxwcGBgtXRaJRKpUIoFCKTyegomoBT1WoVj8dDKpXS8TnJ\n/QIKiQOk1BfCZgIzMndwcEAmk6FWq6mjpIwl5XI5AoEAHa8XUinOf/Ur4picfIDjTtbH5IwiJqc8\nxQAzNzA5OoUBfNoY5qvPvj7AcRuNYnLVvn38FJMr/XZ/qXRk7LuKybHCNE5g8n0Yk+vETEJG1zqY\nMfkjTP0Rwxn3PrLrLmDy/RiHHZW1v0u+38cAZj27/jwG2Gp9/DH142PCd++SsE5otVqNWq1GLpdj\nuVySTqfJZrO0Wi3Oz8+p1+sELIs3lUrp+PFiseDw8JD5fE6pVGK1WpFIJFitVtq4i0ajHB0daY6Q\nEfCrhg3T6ZTlckk+n1eQdTgc0uv1tM7LZDIkk2Zo/eLiglqtht/vV9BIGpGSu8/OzlTvSIAgGdkW\nsPY6YFUcBdcg0jp+F2INHq1jHV/REF2EFwlhiibS51n+CnPoZTUiBBAS0WxhCqXTac7Pz8nn85p8\nV6uVahyJU5OIml6lBl93DikaxcpbRDMrlYraqBeLRaUdy9ic6B6Ew2FOTk5IJpO0222KxaJaF+dy\nOZrNJsVikcPDQx2ZcbvdjKZTRpkMgV/9CvdyyRwDnGQwgEQEA0akMAWajGZlMKBKGAPaiH7BFNMZ\nrGGKwCIOECLCmDlMYerFFHuPcWjyIo4Npjjs4RSFZ3Yt+zgdR3FJy2CK0x6mOMzgMKVKmOK2iimQ\nc/ba8jjjZh67thWmUI3ggFdCiRfBUJ+9rlP7mhS3AkoJ2LO058/bfYVd9W27bwvHXaZn99mwxxHw\namrfC9GPSNt9gnabBM7Y2i/sOcUZR3SjFkBgNiO6XJI7Pib4H/8jlycnsL1NdHNTHXyEri4ufuLK\ntr29rY5h4kIkjJl4PE673ebg4EBv0kTjRzrjPp9Pjy06C1LAtlotAoEAN27coFgsanfX6/WqvpGM\njIogqWiUxGIxSqUSpVJJdY5SqRT5fJ5UKqUFORigqF6vU61WqdVqalfscrmIRqNsb2/j9/tVkySb\nzaoOUqVS0dGGUCikf3/a7TYul0uLeXDG4kSIWwSBW60WmUxGhXZFmFXGdf7Fv/gXa/DoNYvflhrs\n6jj1FwlhSryKE+mXCY/Hw2Kx0CYMoKxAcaV6mZAxuF6v98JrDwaDDIfDFzKURMBaHgsQFwgE6PV6\n+veq2+3+jRG5eDzOaDTSEVkxBLi8vCQYDJJOp+l2u0wmE3VkOz09VdMAOaeA7aVSibOzMx1r8/l8\n1Go1APL5POPxmGw2y/n5OYlEQu3chXEdCoWU9XjpchEsFjn5+GPimDxxjsmttzHgyhEmFxbsY8nX\nC0w+W2JyYsn+XrP7RXDAGQGhxOBihMlTeZwaIYDJUQcYUMhv993F5GWPfS5gj73AMIiOMQLaPUwu\nzmLy8cKuZY5hVkkl17LHj+LoB4IjpD22ryfsuYZnZ7R//nOWN2+y8HjY3d1lOp1SqVTw+/2Mx2Pi\n8TgbGxt4PB7q9TonJyeal4RlK3nm6OiIdrutulj5fF5FuAWIrFarDAYDisUis9lMxdvls+zxeLSR\nk81mVcz94uJCNYn8fj/FYpFkMkmv1+P8/Jxms0k0GtUmh5hHlEolZrOZjs+FQiF8Pp9qEz6vgyQh\nn+doNMpyuVyDSOv4SscaPFrHOr7C8VmuakJ7/zzRzVcVzV4ulwrmCCOo1+sRiUS0uBSqvQA/gN6I\nishlIBDQG+oXXZtYnrdaLdVL6HQ6z9yIz2Yz+v0+wWBQC49oNKo3ALLWVqvF7u4utVqNQqGgoNN8\nPqder1MsFhmPx+TzeR4OBhTv36fb7ZLEgDD7GOCijAFcfJgiboSjMXQXUxBuYJg3W5iiz4Vh+DzA\nFHbiuCYi0W1MwVnHgCFje56bGMBkgCPiKRpDEXuMM0xRGsc4sfTtMQYYjYRHdj9wupDSfT3GFNB3\nMcDLQ0xhKZ+YiT2XjMcV7XuRxBTE93BcXzz2+OLAJlT9ln18iQF8gjhspiyOo9q37XMLe21p+34c\n2/datKHAFMkdHLApabcRVlcKp3vbt/8XUoh3cRhjaSC4WuFeLnE/eEDr3/5b3MDi5k1mtliUETBh\n6EhnNZlMMpvNePDgAa1WC0Cp9zdv3uT27dvK7BO9o/l8rt1UsaYXFp50zKUoF4HbRCLxzIjnxcWF\nCm6n02kKhQJ7e3uEw+FnClphEzYaDZrNJtPplGg0ytbWFplMRsfMRPes2+1yenrKxcWFuk51Oh36\n/T79fp+zszO9ARQg6fj4mIODA7rdrr5H8Xhcb3rlRzSiRKRUnHLE+UZYUdlslkwmQyAQWDOPXsP4\nbanBvF4v3W73lRi1z8dqtXrGwv6/d1zHGhLmz6u4xwlDQx5fF6FQ6Jm8fDWuCliLDbqwj+bzubKL\nxfHxan0hgM14PFazjKt6RsJAajQaLBYLcrmcurDJaLCcX27i8/k8T58+1XG4cDjM6empahuKyH6t\nViMajVIul1WvThgv4sTV9HoJF4uc/eIXRDA5oWvX/hYmx5xh8t8WJgdfBV8COGPo4uopYthZHDbw\nCJNzN+0xpNERsc+N7Dk3MPm5icPivYvJ45JzPZicFsLkuyeY/JnE5LAgjn6gAEJJu5988lvy/47J\nndK4kmhi8mccGPX7TP/rf4VikepiQT6fp1gsKjAnguf5fF6bBIeHh3S7XWVzi9D1YrHg5OREGUrS\ndCwUCppLA4EAo9FIDU0kJ6xWK9xuN4vFQmtE0cLMZrNEIhEqlQrn5+eqwxeNRtnc3CQUCtFutymX\ny7TbbWKxmGoNyujaxsaGgkhXmzyigyTNl+tCQKQ1E2kdX9VYg0frWMdXOD5LNPtl9YxeVTQbUDq9\nJNfJZPJMgk8kEoDpqEoRKhGNRvU5YTI8Hx6PR91jRH9FwKfZbMbFxQW3b9/WG+LRaMRqtaJer6sT\nnMyzn56eapFZKBQUfBKHOBHXlueCwaC5YU6l8H30EavlEj+OmGUZU0TmMUXdEQYAquIIWvowBWAJ\nU6hVMfT4KaZDKOwlP6YYLWO6nSLyLG5kE5zCcIopBvM4dHkZWWvgaAM17Hrm9vj7wF9jOqo9+3sf\nU3QWMCNjHYz7yxQDCO3ZNQYxhW4IA3yF7XkOMABayB47b88pa+rb12RcrmLfC+nuZjGF88CuoYkZ\n9dvBESl1YwC3LbuGIAZMmuAwoSb22OeYwlmskX04YqZL+7hj32cwBbYPAyph1xlYrVguFpz//Of0\n//k/Z/of/gPzDz+kl8/T8XhoNBq0Wi1WqxWBQACfz0c+n2d/f191j8DRDpFOrICsMo7ZarXUztrv\n96voqHRRpYhdLpdUKhUVyBaAdH9/X7vzokUi2mcbGxt4vV7VAUulUpRKJVKpFJPJhFqtxuHhIbVa\nDZfLRSaT0ZsD0WC66jC3WCwYDoecn5/r90nYgNFolI2NDZLJpI7WieaFaLaIjtJkMmE8HlOtVplM\nJjrGetXuOZVK6d+i1Wq1Zh69hvHbVIMJcPmyrJ3n43+kcDZczxqSG2x4MRB0XUjOfBF4dhUgus6S\nXLSJBACaz+d6c97tdlX4v9/v6/kkRNNI9GlE+225XDIejwkEAmSzWcrlMsvlkq2tLS4vL+l0Osrw\nvDqmFo/HiUQiHB4eks/n1eTg/PxcddVmsxnxeJxOp6NOX1JfCGNFQLluKESwUODio4+eGZEeYRhI\nPUy+dmFyjxhgrDA5SVi2F5h6IIQBjbqYvNbBYeP2MDmtabdx4eTdmf3ZxTCNWxhA5xIDZM0x+Spk\n9/FgwR0MwDXB0TWSRogLk/+nmBrCbY8TtuubXLkGYRdLHdLF5OecPcf4o48IDQZcJpP0h0Pefvtt\nbYZUq1Wm0ymxWEy1+k5PT+l2u1rbJRIJFdU+Pz+nUqkAZqzZ5XKxu7tLKBRSXb7JZKLj4MJUmkwm\n+P1+bT48r8sl+e7x48cqvi1mEoVCAa/Xy2g04vT0lE6nQzqdJplMqolEKBRS0XVhIkWjUdXm/CxD\nGkBdSNcg0jq+arEGj9axjq9wfBY9XwSrP6/7+kVEszudjrosgVOoh0IhLi8vyWQyWnDLDaS4VEWj\nURXLdbvd1+oeiWaTMIMkKcu4z9nZGbdv36bX65HJZFT09/LyUmfyNzc3cblcHB8fE4vF9OY9HA6r\nnpLoWgjzQZy1MpkMB/0+8Q8+oDmZsIMBfW7hUNVLGKBEijwwQMb3Md1EAZruYNgzYgMswpgrTBEX\nwhSAvwa+g2HhCOgiItECr41witpLe5wQptj1YQrIIaYQDNr9i3a7j+3jBo5QtmgQ/RxTgH4HA9A8\nxbCe5BPRB94EPrL7ZDEspdv2mH+FKVClzIriFNd3MUXrIwwTyA18iimUt+35tuy/LRz75AoG+PHb\n15f2+twY0Cltzycd5DBO9/QEw0Latcfs2nUmMAV9wx4/hwMqxTEgWHw+N0V+u0334UPCf/7nlHo9\nsv/wH+K1IKTQ3cPhsOoriDuQOMwsl0sikYiCQQDhcJhCoYDL5eLy8pJyuaxjWrlc7pnPvQjWish1\nLBbTojoej5PNZtUqWb6LQu8Xsdp2u63itH6/n0wmw/b2NsViUW3CAQXE3n77bYrFIqlUCq/Xy3g8\npt/va6d3MBjQbDZpNpvU63Xq9breTBaLRZbLJY1Gg2q1Sr/fV4em8XhMo9HQ0ZN2u02v11MxcGFs\nyZhLNBrlj//4j9fg0WsWv001mLj4XZdfXia+KHDzZeI61tBVZu/LhuR7EZt+0TZX3U+fB5BEFFuY\nG91uV8EdAW6kEfT86LzP51PmsPw/ZDIZdcKS773o3ORyObrdLs1mk2QyqWND4vIoVuz1ep1cLqd6\njjI2LEBRKBSi1WqRz+c5PDzU+iEcDivbcjwes8rlCO7scP7TnyrIU8Tk17y9hgtMDilgcvzYvr7A\n5OAbmFogiclJXZzx9b59LKNtJUy+v8DRMCxg8uLSvn6EyYFFTG7awOQnaXAIGBTC1AaXGEAqggNQ\nJXCcUAeYfCvGGnG7LhndBsfgY4bJpz5M/ZGy23TPzgh+8AHLQoFjK00gpg0XFxdUq1U1KHnrrbdo\ntVq0220Gg4GCl4lEgp2dHcbjMaenpzqa1mg0yOVybGxsMJ/PCYVCxGIxTk5ONN8FAgEGg4Ey2kTz\nT3KTMHDFoa9cLmu+E5BSRsJns5mCTLlcjkQioWsRIEoMHMbjsYJMg8Hg2jG2q3EVRBJ3tudF5dex\njt+mWINH61jHVzjEVU3cop6Pzxprk3hV0WzZXoAgCenaNJvNZ1hJklBlplx0Enq9ns6aX9fZXa1W\nLJdLdXeREYJut6tOcsIWms/nAGoDLN1GSf5iCzwcDlXwM5lMKtNB6Myy7mg0Sq/fZxAIsPzVrwBT\nJMpYlLiOpXG0froYUOIWpiADUwRmMGCKgC1TTBG5gcMAko5lDUNr7+CIdA4wBWYKU+RJdxD7vAhR\nn2MKUj+mqBTgpW/P28QBSQYYAOnAnrsA/NQe59sYavy5vZYQpmge2d9/ba8pgAGZMhiG0K/s+xPC\nAGURTEEsxwQHRFvhiHwW7bl2MMWz6EbFMCCQiGJn7H5+HB2lNzEF79z+PrKvb2OKd2FeNex7u4W5\nOcjb9+0ezohcxz4nAucBzA3CarHg8v59ej/4AZGPPyYZCODb3aXW71OtVgHTbU8kEiSTSdVDkO5s\nMplUzR8BdGOxGDs7OzqSeXp6Sr1eV/2Gfr+v2l2bm5vm82j1kMBhHIqWUafT4fz8HDCFrBTcMtIZ\njUYpFotagE+nU0KhEKVSSRlBMkIn4qCiQZJMJvH7/fh8PjY2NtjZ2aFYLD5jjXz1GqXDLxbNIj5e\nKBQIh8PK2Nra2iKdTquAtgBtwtL6oz/6ozV49JrFb1MN5vF4GI1GX+omToSzvygA9UVCWEOSF4VJ\neB1D6POOI2yMF+X/55m9zzMmvF4vq9WKwWCgrwmLqF6vqwbN8ywnAY9Wq5Xu12w2yefzDAYDZa0I\nsBQIBAiFQqqFlkgkdD0CnhUKBXq9nrp8TadTVquVakXFYjGWyyXBYJBms8nOzg5PnjwB0MaQ/L2p\n1+vE9vbw37jB6X/7b/gwgIuMowv79wLHBCOAo8U3xuSx25jmhLiktTA5MMmzAFLF/pvG1ApLHHbs\nGEdDsWJ/Nu163Jjmk4zPpex5fZj6Y4BpHE0xeW6MyV1ZTL6vYXJpzm4nn2LRWZJ86sbRJbyByf9z\nDKjVWyyY/+IXRGo1LmIxZpYptL+/j8vl4uDggMvLSwKBAHfv3sXj8dBqtdR4QtxuBbBpNps0Gg3G\n4zH1ep3xeMz+/r5+3ovFIsPhkIODA3X4FAZsJBJRptlyudRaVABIYcuNx2N6vZ4680ajUdxuN6VS\niel0yr179xgMBmp4MZvN6HQ6hMNh1V6qVqvqFCducJ/3/ZPcKfXtaDR6JT3RdazjdYk1eLSOdXyF\nw+VyKavgOqqsMII+T7dhOp2+UpEtOjAimi0FntxMzufzZ4Alof8LDVkKVhn/ue68UrgHg0GWy6VS\nlWVEaDAYsL29rc4w4k4jo2iidzCdTimXy8+sdbFYEAwGVah0tVrRbrfVyUpu4luhEK4f/YjmbMZt\nTEG3jykAV5jiaoEp1qqYwm+EYfAcYYrCFgaouYcj6Nyw+4sG0QTD9LmHKfQELJnhuKD5cZzUBhhW\njegxiJZQyx4/ZNciheYS49RyH0ewU1hH9zA0+SDwl5iC9g37vAA0AbuGsF3XfbuWmF3DHAPYHNvH\nUnx77fsQwIzFzTAAUQhn3C6MKbZrGCBJOrhyHffsGoRNJaNxA3u+NzGAWBhHFHRlP0Ndu5Y37HUf\n4oiMioj4mV2TG2fkUHQr5nb7zHJJcLmke3DA6Ec/YvWDH5Do9Qh///v0l0tqtRqj0YhgMEgymVS3\nn0qlQr1eJ5lM6mdUvgf9fp9kMsnW1pYKwT558oRer0cikSCfz6sLmd/vJ5lM4nashAexAAAgAElE\nQVS7abVadDod1QoSIEg0j9rtNplMht3dXQWXWq0WZ2dnrFYrktZJp9fraaf27t276oYjIFW1WlVA\nTNgL7XZbhbWFBbixsUGxWFTXm1QqpYLjcpzLy0tOTk5oNBp6wycujeLw1uv1dAzG6/WuwaPXMH4b\na7AXOYu9TAhw83mupb/JkNEbYTeCM8b9qgLgzwNR14Vou0g+fv46/X6/6hvJmLi4YwE6lvu8gLaM\nGPX7fUqlEv1+n0ajQalUYjQaabNJGkQy6tRsNpUJLfWBbCNurZPJREfRZU3VapV8Pq8sllqtxv7+\nPufn50wmE7rdLoVCQZ3BDg8Pyb/xBrF33+XRj3+MZ7mkhmMgUcU0eM4weUF0AqWB08Tktx0c7SEx\nmfBg8tfY/kQxuXmFAYaqmPwVxNQQ8jhptzu3a1hggKNv4DiqipagD2fM/RKTr6Qe8WAaJCu7/jEm\nx8saInYN2GvCHq9v1/8d+1iMO0JAt1bD//77dMNhVrYRF4vFePPNN2m32/zqV79iOBxy584d4vG4\nNhgnkwmNRgOXy0UkEiGdTpNIJLi4uKDT6TAej6lUKsTjcXVmi8fjJBIJzs/PaTQa+jmQ/CDjilfz\niOghCbNdWHyVSoXlckk2m9VaeH9/n36/z4MHD+j3+5q7RDA7HA6Tz+e1ESSagFe1Bz8rJM9LDft5\nIO461vG6xRo8Wsc6vuLxeeyil3GdeVmQSWI+n6uuijhjDIdD1US5KqgtukeiTSSC1uIqJfT550NY\nGpFIhNFopFpKi8VCBRZv3bqlNHhxijo4OGBzc5N2u61uIaenp+r2tFgsVLfF5/Ph9/v1+AJ6idV6\nu9Nh5XLR+vWvCWIKwiUOOCHOYiH7WEa+7mKKuCkO6LILfAB8EwNqtDHAhAAtTQxwU8YUjjWcsasl\npgjcxxSsNUwx67HnXmKADo/9N4gpBisYsMWDKSzzGAeyGQ4QFMV0Gt+11/TfMEBTHqOHNMGALyt7\nvF17zmN7jVeL2RKOaHcTU3xP7NpjwNcxhewljg2x2+6/xBHjnmCK4Zy93l9gOrDY3/v22D3MONye\nvR6XXYe4zXnteyFd1BmGbZXHAdXCOK50E/v/F8RxgxOHOgH+vLMZs8WC1Sef4PmX/xJPPI73W99i\nPJ0yHA5ZLpd6Q+bxeGg2m2pXLULvgUCA5XKpxXEymWR/f5/NzU11QZtMDH9tOp2qg9F8Psfr9TKb\nzbS7u1wu8fv9lEolNjY2SKfTaqXsdrtVoDSZTNLtdqnVagyHQzwejzIPLi8v8Xg85HI51V+Kx+PK\nPBAWoGibdDodTk5OVDjU5/Phcrn0umezGb1ej2QyyZtvvsne3h65XI5QKES/36dWq3F8fEy1WqVe\nr9Nut59hErhcLv7kT/5kDR69ZvHbVoOJbtFngSefF+Jq+kUBqC8SIi4sDR2xHH9VEMvj8bBarT5z\nfA3Qc7Tb7Wsd5uRGXcbV5XsvbqbBYPAZLRo5tzi+jkYjtre3qdVqOlIuIJCIHct469bWlpoCBINB\ngsEggUBARwgXi4WOy2UyGWV45PN5Li4udPRcjAf29vZoNpt0Oh2azab+jcxmszx8+JCNN96g8M1v\ncv+//BcWiwUNTB6+jWk27GDynjRwxGF0gGOGsYuTZwOYHO7DYfUII3aAyfu7V/YPYJomfXuMnH18\ngQF5shi9wS27rqc442uid+Sx6+tjwKkFDls5icm3B/a8AhLF7BoqmHwogt0eDGi0ialjfompV/bs\nubh3j/G9e8w3NyEUotFosLu7y507d/joo4948OAB29vbaqoATiNQGDyLxYIbN27gdrs5OjpS/btm\ns6mC1+KgNh6Puby8ZDabKZAoTLd4PK61n9SkwnQStp6Yo4iupbj2plIp9vb26Pf7PHr0SJs2qVRK\nx9lE4F1YjDKOHYlEXqrRKs6EwgYW8Evy5TrW8brGGjxaxzq+4rFcLpnNZi8Uzf6ssTaJq6K7LxMi\n4Ct6A4AWilIECjAj7KjZbKbsiHQ6rY4awAvHAkR8d7lc6vqEslwul1Xo1+12M5vNSKVSHB0dEQwG\nmUwmKppYqVSYTCZks1m94Z7NZir6GQqFVH9BnK+kAJnl80z+03+ivFzyTQygULD/+nDG2eKY4uoJ\nplj8JgZgAQMAfRtTBC7tPkMcgGSO06kcYAq7mf1dOpB1u88d+7yMeono9BkOoDTEFJ0ju84oBhz5\nGqaI/ciuI44phjs4gqFT4EMMU8iLGVMLYZhRPUzxK45sdUwBnLLHi+IARivM2Jmwss7ta3fs6x17\nvDmmeN3B0XEQ9tIYUzTP7TpKds0xnhUkv2/fgySOULi4vPVw3NiKGLBIWE6iwZSy6xnbY3+EM543\ntOuf2fcjZI/Lcsl4Pif0s58R+/M/J/L1rzP1++n0eri8XtVsWCwW1Go1zs/PFUjt9Xosl0sFaHq9\nnrrKxGIxXC4X5XKZcrmMz+cjHo/rWIh06Dc3NwG0s9lqtZTmn0qliMViNJtNLi4uAFQnSWy2RSxX\nNIba7TZPnjxhNptx8+ZNdXmbzWYqAB4KhfSG3OVysVgsaLVaWqjP53POzs60k5xIJFQ8WzTLgsGg\nAlq5XI50Ok0mkyGRSBCJRHRUZQ0evX7x21aDyWf0NyGc/WWc275IPM8akmbKq7KPAoHASzEfROj3\nRULbwoK8vLwknU7j8/nUpCKVSqnmmjCBwdFwEu2znZ0djo+PGQ6HlEol1SqUOkC239nZ4eTkREWS\nZRxWAObRaMTW1haVSoV8Pk+9Xmc2m5FOp+l2uzpmu1gsaLfb7OzsKAOmWq0qU7JYLPLpp59SvHWL\nnb//9/nlD3/IZDZT7b03ccws2phc58PkJGEVdTD5bAtH8y+EyX0ywu3GAXTmmLwpDYmafV5AH3Fu\n82BYuytM7j2257lj1yFj2fErx+7a423b/aSRlLNreGzXV7qyvxcDLLkxzSnJn0f2mv8AAzZ9hMmT\nCYBOh95PfsKg2yX5zjv0LAv293//9xmNRrz//vt4vV7NISKCLgx1+Sx7vV729vbodDoKEB0dHbFa\nrVQbMJvNErIg1XK5ZD6f63EE8JFxNmmsDAYDAAU8c7kchUKBSqXC6ekp4XBYxbSLxSLb29uMRiMO\nDg5otVpq4DCfz3WsUnT/2u02Z2dn+jflZdhEHo9H9RGlEbRcLtcg0jpe2/hNgkcu+QP/txUul2v1\nt72GdazjdYvZbEa73SaXy137+uXlpWqSvCiWdvSmWCy+1DnFgjWVSqld69WuT61WUyFhgG63y+Xl\nJRsbG5yeniptWNxc8vn8tYX5eDxmOBwSDAbVKjwYDHJxccGDBw8oFAq89dZbeoOaSqX48MMPaTab\n7O7uks1mKZVK/PVf/zVHR0fcuXNHC9Jer8fOzg6DwYB0Os3PfvYzJpMJLpeLvb09ZUM9ePCA3r//\n9zz5d/+Ov4sjkCm6AQlMcTfCAEc/xrBh/m8MgPEYR98gD/w/wP+OYfUMMAWbCwOsDHF0f97CAC5J\nDEDSxjCX/i+ccbCE3U8s6R/btXTsTwIjhi10+ZI930+AnwF/BwMY3cCwe/btPv8vpoj9A4y49afA\n/4EBUz6254tiAJX7GHDlmzjin0KXl7Ioao8fBv5PDFX+PqZoPcJ0RN/BMJx+Zt+HGo6A6Tt2DVO7\nzS17rEMcsdImjjtbE1NQX3Wey2EKcqHm93E6ruI0c2rfNwHKhKUkI3oyRihC5W7MDcQciIXDROdz\nVtMpLaAdizH7x/8Yzz/5JzTDYZ4+fcp4POa9994j+f+z9+Yxlp3neefv7vt+a7m1V1d3Vy8k1SRF\nkZRImdolW5GR2PBMjJlJPLHjGMEYQRZjBgjGEmx4Eo+jLAgCTDDxILZsBfZMMgYde2TLlihSFE1K\npJq9d+3rrXtv3X1fz/zxfe93quluskmRYpOuDyhU3eV85zvn1j3vc573eZ83HicajRo1zmg0MqBa\nSr5AlYmtr6/T7/eZmpoinU4bZZ+UgEnJSbPZxOl0kkwmWVhYMGWjzWaTfD5Pr9cjlUphWdZfMuWW\nMjohVgHjSeRyuYx3WLvdNt4TqVSKZrNJoVAwKqJut8vc3BynT582/mFCIsv3WzxUGo2GIYflBzCm\n2brV9jGyvofGexGDiUpvfHz8jd98hyHG8uID9sMatVqN4XBoSq7z+TyJROJNl78MBgOKxeItapA7\njVarZUp5Xvtey7LY2NjA5/MxPT3NaDRifX2daDTK+Pi4IZOCwaBJCNVqNaMylm6S3/zmN0mlUiwu\nLpprlxAM0gnO5XKxurpq/NWki6oQQMFgkGQyydWrV4lEIly7do1wOEwsFjPJJkkcuVwuEomEWUs4\nHOZHfuRHmJycJJ/P89xzzymsUq3yWz/907jqdSZR8TGMijN1VMyqYHvnHaCSGFJSfgoVEw5QMfEK\ntml1H4UDqqg4JMkbIaIiqPhVQqmLXNzaXOIDqBglqtsOKm7JJzTA7tDq02sPoGJmG1txtKH3MYuK\nodK5VZp+PIRtsr2FisUP6vU9g+0F6NbH1PT7Cf+Nv0H6qaeo1+umA9oLL7xAJBIxmFISIN1u15ip\nW5aFw+EwpZGFQoHRaEQwGCQWi3Hy5EkmJiZMYmV9fd0o0KWJitgTzM3NmYYT7XbbdDWV0rZ4PM7J\nkycBzDxi/i0ef/1+n93dXQ4PD/F4PExOTt5inC34s16vs7Ozg8fjIZ1Om1LOuyWXRaUn2DYcDh/7\nIh2Pe2roe6q3BX+9o+SRw+H4ceDHUNfT/2BZ1p/e5j3vOeByPI7HOz0sy+Lg4IBMJnPb16vVqjGm\nfr2Ry+XuClzK2NnZwefzGVA+GAyMKaa0ZU2n06Yzxs7OjskoTkxM4PF42NnZMSqJ2ymnLMsil8sx\nMTHB1tYWjUaDpaUl1tfX2d7eptFo8OSTT5quHNFolFarxdNPP80TTzxBo9HgkUceYWdnh69//euc\nPHnSrHdvb4+ZmRnjT1Ov17l48aLxbZE2tBcvXqSWy7H/t/82DeCnUMQGKKAWRwFAp378F8AfozKE\nD6MIHweKdPgR4E/141lsQ85FFLhLoAinLIrESaLAnRcF1F5CgcT/EWXAXUApdoTgeBEFGBdQKich\nRi7q9yRR2VRQBNIeiiDy6tcL+lhiwO/o7T+AIro2gZ9GgdZtbLIrgiKGCiiZuwNFVDmxQfC4fv4v\n9Nw/qh/fQBE066iStvMo4uayXuM+itCJ6HXvokBrEuXLENTnSlRDVWzPpro+ZzV9DkOo4OLF7kbT\n18+Jb1QZRSwVUGRTRu9TfCSW9XN1/bn5sUF0Vc8pHfQsoO9y0QNCjz+O9Y/+EStuN4VCgQceeIBo\nNEq73TY+EKJSkjLTcDhsVHflcpnNzU0cDgfj4+PGh6jdbpuOZ5JlFe+lubk5ZmdnTVlIo9FgZWWF\n0WjE3Nwc0WiUTqdjzEUdDgeRSASv10u1WuXg4ADLskyWXm7carWaMREVNZEo/0SePxwOicfjpFIp\nU1rw2gyrKAheSyI5nU5TknBMHt1b472KwQqFgvFJeStDbmxFDfHDGpZlmbX7/X6azSbdbpdkMvnG\nG79mNJtNOp0OqVTqrt7bbDZvSyANBgNTmhSLxWg2m+zt7TE1NWXKwg8PD4nFYsavcH9/H4fDcUv5\n4LPPPsvk5CQLCwsUi0WKxaJRNA2HQ1OStrW1ZUrNhEDK5XLs7Oxw+vRpHA4HV69exe/3s7a2hsfj\nYX5+ntFoRDabJRAIsL29TTgcNvhA/GseeeQRTp06RT6f56WXXlLdwZxO/sNP/AT9UokJFJmSQhFC\nh6iYVUPFbx/qmr+Puub7sRMb+yiS5op+LYUid2IoEqeHXTo9j4ovLhQBNUIRVVKGdlT9m9TrkOYU\nUq5exVbVNlDx9wEUPnDo9UscK6NiLvr1IbZptpSmL+i1bqKSUmlUafsqKiZOomKknIPW5CSRv/W3\nCGQyhEIhQqEQq6ur+P1+E6sCgQAzMzOm822v16NerxviRMqy2+228bJKJBLMzc2Z/41Wq8XW1pYp\nl26320aRJP9PElvElFuMuUOhENPT0ywtLdHpdFhfX6dWqxn1azqdxufzmSYSpVLJKKikHLLdbuP1\nevH7/eTzeSqVijF4l86qd6tylESKxFLx+Toex+PdHu8Z8sjsxOGIA79hWdbP3ua19yRwOR7H450e\nr6cuEkWQKITuNEqlEsFg8K4MAQHT3n52dtYAwoODAyYmJigWi4CSzEsXlLW1NTKZjCnRyWQyrK6u\nmhvnO2V1Dw8PjRH3zZs3uXDhAuvr69TrdV555RU+/elPm6yi1+slnU7z1a9+laWlJfr9Po899hiW\nZfEHf/AHBAIBzp07Zww7Lctifn6eXC7HzMwMf/iHf2i6S2UyGePTtLm5SeHLX2b9G9/gwygypIkC\nbkEU+XACRSpkgT9BgcyfQYG0iyhCQ0ijP0Zl80rYLXUjKGJCSJActvxcOrxZwP8N/A0UyFzBlszP\nokDgCyjiKokirpZQ6iNR2qSxiZgXUYD3SWxz6ZRexwhFIM3pn++iMpg/jQKUPWwgHNPH2MHuZLas\nz881vf4FFMnyHIrg+QyK0LkBfA8FSs+hwPc0CiC7UYBbSgBS2J3ufMAn9Lkv6nN5tCTgjD4G6RS3\np8+TD0UgCXHnPPIZdvU8Of1ZWkfO6wi7O96iPr8NPbcbu3tNW88rJt4joOpw0PD5sGZn2f3FX2TX\n7ebEiRNMTk6a0o1wOEwwGDQtwh0OBxMTEyajKeVvBwcHprtbKBQiGAwab6VyuWxMqtvtNul0mnPn\nzpnvh3Q/khIA8VKRcjfAlLiIP5EYjopn2NTUFMPh0HRUq9VqRKNRJicnDQHWbDY5ODgw5WzBYNAQ\nxOKZcnR0Oh0ajYbxb5PStmPy6N4a71UMJtf7t0K6yCiXy6a75w9z9Pt9SqUSY2NjOBwO8vm8uZF+\ns0PMh482s7jTeD0CSa4z0nExl8vR6XTMNUDWfPSGf39/35hlCxH24osvMjk5yeLiIgcHB5RKJSYm\nJnA6naZJQC6XY39/n9nZWSKRiFFDSonRgw8+aMyP3W43u7u79Ho9HnjgAUajkSEwtra2SKVSxkNx\nMBjQ6/U4efIkFy5coFQqce3aNVXOHgjw1Z/6KQ6zWcZRiY0pVGwpocgcaVrR1X93UDFgiIp1KVQc\nkfe7UHFjGxX3LOzEUAubjBnofY3p7XIobLGJXeKdQcWWTT2PJFQkZpZQRJATFb8eQCW5cvpHPs0D\nFMmVROGCHirOXtfvmUHFZAcqcdVGxWavPo6hXmda77cONL/wBUKPPMLk5CTBYJD19XVCoRATExPs\n7+9TLpeZnZ1laWmJwWBgyri63a6xNZDvWa1WMyRSPB4nk8mYrmr7+/t0Oh3i8TjdbteQUcPhkNnZ\nWWZnZwGFf9vtNvl8nt3dXWNfcOrUKaM8X11dNb6cCwsLpNNp4/1XKBSo1+uA6jQojSvElNvhcHB4\neIjD4TDfK5fLZbqH3i3ZLIkUgHA4/EP1WDsex+O144dOHjkcjt9EKYjylmXdf+T5zwL/CnVN+j8t\ny/rnd9j+N4CvWJb1/du89p4ELsfjeLzTQ1rt3k5dNBgMDNB7vSEB8o38kWRUq1Wq1SqTk5PmZrBY\nLJpuF8PhkH6/b5Q+29vbJjOzubnJuXPnWF9fN/Xn6XT6juuyLItAIMD3v/99kzUqFou88MILPPjg\ngywsLOB2u0252ne/+13W19c5deoUU1NTTE1N8dxzz7G2tsajjz7KYDAgGAyysbHB8vIy7XabSCTC\npUuXyOfzhEIhFhYW8Hg8pFIprl69SvZ736P2S79EHfg0isQYosiIMApE+VEA7DvA11Cg78eA/4gC\naC6Ukuc6KkM4jQKEeRRpkkRlI8X8cohNVI2hQOZLKMLll1GqnCyKoHgIBSjXUcqZx/RrOyhy6iUU\nwBPJ/QQqK7qGAsH3o8BnHUUWLaIIpj/SxzENfB0FFH8MuzNcDwVgnfq4PChw3NNrqujnJ/SPCyV/\nn0Sph6SzzbP6t5SliZLLrY9hR58f6RQnoP1JbMNR6Tq3rte0jN3ZbaTP22kU+B3p8z7ALkFLYpN3\nW9itmeN6G4deT0e/NoUC52JULiQU2MRSSD9noY3SvV52P/c5sj/2Y8zef79pd10qlYyM3ev10ul0\njGowkUiYsg+Hw0G5XDZeZkL2BoNBfD6fyawXCgV2d3dpNBqEw2GWl5c5ceIEPp/PlJeIqkHM7aXs\nDdTNoxh8b25usrGxQSwWIxAIMD4+brokxuNxQxhZuo2zgOZWq0WlUjG+JyLPl3I7IZLk+tHr9Wg0\nGjgcDpLJ5DF5dI+N9zIGy+VypFKpt1weIoTIxMTE27yyNx71et14+rRaLTqdzlsiwkaj0S2eRW80\nWq0W9Xr9L5230WjEwcEBTqfT+M3kcjk8Hg9jY2NGWSKm1m6323R2nJ2dpVAoEIvFODw85OLFi4yP\nj3PixAm2trZoNpuGVBePtu3tbXK5HHNzcwSDQVO698orr5hrW71e5+rVq+YYW60WH/rQh3A6nVy6\ndMkQSzKn+DIKAXHhwgW63S47OzuqiUE0yjP/8B9y48UXiaJUsWdRqp0KKuHRQ8XFmn5eTKzFh3AC\nFVMrwKuomLOMIl4sVIKhgYqZ4kE0jYphfuzObFf13w09hw8V08+i4reoiqawO47mUThAYtJZVIyv\nYZfhycV1A7sczo3CBxt6+ygq/p9DxUQx7JYY39SPx/TxAuyfPUvzox9l+uRJFhYWWF9fZzAYcP78\neZrNJteuXaPX63H+/HlmZmaMPYF0/KvX6zSbTaNcr9VqJqkQiUSYmJhgenqawWBAPp8nEokYK4J+\nv29ImLm5Oebm5oxhtyjgNzY2sCyLqakpzp07x9TUFLVajY2NDXK5HJFIhNOnTxuVXrvdNvFZvIqO\nJnUcDochrqRUW/zWpBPq3ZK93W6XZrNJv983yaEfptfa8Tge8O6QR0+irkO/JeSRw+FwoXD7J1EJ\n4JeAv4nykH0I+N9R9zn/DPgTy7L+7A5zv2eBy/E4Hu/keCN1kSiCXi8LIkHrbkFps9k02UXJxgoB\nJdnGwWBggJ6UvCwuLnL58mVOnTplymx8Pt8d13fU0+natWt4PB6mpqZYWVlhbW0Nl8vFo48+SjKZ\nZHt7m0wmw3A45Ctf+QpPPvkko9GID3zgA2SzWZ5++mnuu+8+JicncTgcbG1tme4e0qL1a1/7GrOz\ns8bXJRaLUS6X2dnZ4eAXfoH8zg7nUIRLFgXMxKha1EdF4GkUifFTKGD4NMqHoINSA30LRcSIBqOu\n55zFzhxW9WNpyRtAKZS+jAJz/z1K2VNGgcTH9LY3UODuEeB5FCDc0+tooUBkDAVgb6BIjpN6X/so\nMJhGkUhXUBfsRVQ29Y9RBNgHUcqnE/o8RLAVQG7sUrBzKAC8gS3p9+t1zWLL45soVVILRXCd5VaD\nalEopVFg26fPZQOlMopiq6fEYLSkz2kKRTYN9DoW9bxNFEBG70M8llp6XvGB6Op9hrENU6WN86Ge\nf06/t4VNKDr15yrtmiXjXPN4uOZwsP+FL7D0j/8x6elpQ+6Wy2UDOi3Lolgs0mg0jAG3xEB5bTQa\nMTExQTAYNGa1UopZLBZZXV015Rvj4+NkMhnTFTGdTptSGAHCvV4Pn8+H3++nWq0atYKQtqVSiUql\ngtPpJBKJkEgkCIVCt3Rc6nQ6+P1+YxIqrY7l+hCLxcyx9Ho9BoOB8UYSE1LdKeqYPLqHxnsZg4lJ\nvSjs3sooFovGOP6HPcRLKBgMksvl3rL6SL6LomR6o9Fut6nVan+JQGo0GnS7XUajkfnui8+QeLPJ\nttKoYm1tzZTSlkolUqkUOzs7XL9+nbGxMebn59nY2KDb7TI+Po7D4WBsbIyg9ozL5/PMz8/j8/mI\nx+O4XC5efPFFlpaWmJqaMgSSEO+dTocHH3yQYDDIpUuX6PV6piObqDGlRbvT6eTkyZNmbVKWv/4f\n/yPf+8pXcKJinbSxr6H8/zqoGHaAigdpFImS03/PYCtZL6Ni+Rn9XBkV+6QETcqhE9il33FU3HgB\nFWPBTmRYKAXzCBWnc/o9J/R7NlCJm7SeP4oqGfeiYvc+Kl559H63UDgmhErISOl5Wx+TxNkiCk80\n9XrcenufXvcYCr+sPfww/g9/mHMXLtBsNimXyywsLDA5Ocn29rYpN3z44YdJpVKm+YLL5TKemJKM\nGA6HxiNJkolSmi1xcGxsjG63S7VaNR3TLMtidnaWxcVFU27daDTY2Nhge3vbvP6BD3yAdDpNvV5n\ndXWV/f19kskky8vLJBIJ8/9cqVTodDpGuStdS0ejkTF0D4fDpkmElHQ7HI43pUY66jMoDVzeyvf9\neByPtzLelbI1h8OxADx9hDx6HPhly7I+qx//zwCWZf2zI9v8IvA/oO5Tvm9Z1v9xm3nfs8DleByP\nd3K8kWl2sVg0fiZ3GpKxu9vMaq/XI5fLmbp0wBjvJhIJo+CxLItoNEqz2SSbzbKwsMDe3p5RIe3t\n7ZFIJEzd+O2GdFUpl8vcvHmTxx9/nMuXL1MqlVhZWeGTn/wkk5OTFAoFnE4nmUyG3//93zcA9Ikn\nngDgq1/9KpFIhEceecS0Pm82m8zOzpquHF//+tdNhxfJdErm9OJXvgL/7t8BioDpooBfCkWIRFDg\nqo0iR76BAm4/Cfw/KLAXxi4Lu4YCh+MoMBbBJlh29DwtFFGziS0T3wF+H/hZFPisoggckddf188t\ncqsX0hU99xCVSQ3puVooUHsSBSzrep0CYL+LAsZL+hieQfk3SXmZkDXiQeRAETUJ7PbD17GBtl/v\n57KeY1LP20UBctn2tH5vUp/XLZRCKa3Pmfg3ePW846isblOfh6xen8jy3fqcVvRnltLbl47sp4Ht\nA1HVx91FgeORXid63Rf08zuom4cwihDz6mOVDK2c0w62EmkEXPN4uDY1xd52Tt8AACAASURBVNRv\n/AZTDz9MMpk0Xkj1et20Fu73+xQKBdOmejQaGQDbaDTIZrO4XC4mJyeNAbd0mYpGo4xGI7a3t8nn\n8yajv7CwcEsb7Hq9zmAwML4OPp/P3KD6fD5qtRr9ft+09fZ6vbhcLmq1mmmNLWWvMmez2TReJ8Fg\nkOFwSL1ep1wuY1kWwWDQtPru9XrmRxRQx+TRvTXeyxhMmkL8IL5FUqb5Rired2IIGZxKpej1em9Z\nfQSYbk8St99o3I5AsiyLfD5PPB43JeOdTseoI48qGEVFcnh4SL1eN0R0tVollUqxubnJ2toa4+Pj\nJJNJ8vk8rVbLlO0Gg0Gi0Sirq6tGgeT1eonFYgyHQ1599VUuXLhgcIYQRXLNOnv2LPF4nOvXr1Ot\nVtnb2zM+Ns1mk0wmY4ycx8fHTfnRysoKlmUxvHKFb/zTf0q93ycDfFiflwbK76+FKiPfQTXLSKOS\nHwVUzBlDXftL2ASSdDY70HNJ51ZR8/RRMSyJiiOSyKmiSJo4djybQcXgFRSmqOr1fEDP/6d6jlOo\n2Pdh/bODKhff1/sNYZfSN/VxLOnXd7Hj7BgqdraxVdQ+7HK4NHYjkBWHg/JHP8rspz5FNBqlWq2S\nSCRYXFzE6XRy5coVdnZ2iMfjfPCDH8Tj8XB4eEgoFKLb7bK9vY3P5yMUCtHpdHC5XCYmion18vIy\nqVSKarVKPB4nHo9TLBZpNptGzTocDpmYmGBxcZFwOGyaPWxubpq4OD09zYULF0wziJWVFXK5HPF4\nnKWlJZLJpPFkklK71zZ86PV6tFotk1iRNbvdbkajEd1u902pkSzLotVqmYYYQkAdj+PxTo57hTz6\nSeAzlmX9nH783wGPWpb1P72pBTgc1i//8i+bx0899RRPPfXUm5nieByP9+3IZrNGUfPaUavVcDqd\nb+h1ICTN3chkxQjT6/Wa0rSjXdsk6FYqFSYmJuj3+0bp0+v1yOfzLC4usrq6SjqdNl0nbjfK5bK5\nKX322Wf50Ic+RKFQoFar8cwzz/Dxj3+c6elp3G43W1tbnDlzhkuXLvHyyy9z+vRpAy6+853vcOXK\nFT72sY/R6XSIRCKsrq5y+vRper0eoDraXLlyxWRC3W43qVRKtXnd3mbvF34B9vdJo0iPGgrgSQZx\nEbuj139FkT6fRIHD76BIhzqKfJJSsgAqW/gSSqmzjG3QWUIBtWX99w6KVPl9FEj8Gf27gQKoT+j5\nt/U+z+jtRKreQgHDSb2WkV6jtCNe0u+XUq0H9OvPoADmffrxVZRvUUzPOY4iYjp6noD+O35kruf0\n81P6mIb6eGZQ5FBHz7GFArsBvcY0inDz6tf/BAVM70MRVjdRxNssSml0gAKzYyjQKxlVv16vtDCW\nLnc5VDY1gm0yLt4ORRR47mKXGAipN4NSk3n1ucnq93r0esN6XwM9r//I5yQk0p7TyasOB96/9teY\n+uIXSU1OGrWeZEnFQFtIpXA4TDgcZjAYGM8kKVNzu934/X5arZZppy03dNlslnK5jNPpJBqNmq5v\n0ppbvIxExbS7u3tLxxmn02lIH1CKx0AggNvtNupHl8tlrkF+v/+Wjm6iRpL3l0oler0eXq+Xy5cv\n88ILL5js8q/8yq8ck0f32Hgvk0egyrul5OStjh/UfPsHGa1Wi1arRTqdNsTN3ZrzHh1StirEzN0M\nIXsSiYTZZ7vdNmplUX/I99/j8Rgfw3q9TrfbJZFIsLKywtTUlCF6ZPuVlRV2d3cZHx/H7Xabm/5E\nIkEmkzHdVNfW1owHktfrJRwOmzLds2fPEgqFaLVaXLx4kWazyWg0otVqsbS0xPj4OFtbW+Tzeba2\ntvD7/UxMTNBut5mbm6Pb7TIYDIx6UwindrtNdDjk2b//99ktFIigyJcYKlZcR8W8U6gk0KuomHcO\nde0X1bATFVvFDFu6fVZRsd6DikcjFHlUxE7i9FAYoYGK7QNUDBUVklfvbwi8rPcRBj6nf/9/qDh5\nBrtk7sdRMe+qnvNQzyVdREvYnV/DKBVSCxVXwyjMcEJv95JerwdbeXxe72cX2IlE8H/hC6Tvv59u\nt0s0GjVG6KVSiRs3blAsFpmcnOTs2bOGiIzFYsbjMplM0u126XQ6hMNhkskktVqNUqlEJBLhgQce\nwO/3m66fUk4pTRnEVy+ZTDI/P8/Y2Bj1el15WhYKlMtlms0mU1NT3HfffUxMTNBsNllbW6NSqRhv\nP8GrEo9fSyINh0MqlQrtdtt4dUmyR4ifdrv9ptVIR0vapKPhcUnb8Xgnxr1CHv0E8Nm3gzx6LwOX\n43E83snxeqbZnU6Hdrv9hplG8Sy6W2Ccy+UYDAZkMhkTxMTQs16v4/f7aTQaRlW0vr5u1BWXL1/m\n/PnzrK+vGwn6nTKpR8vyLl68aJRKm5ubXL161WSt0uk0169fZ25ujuFwyO/93u+xvLxMOp3m7Nmz\n7O/v8wd/8Ac89NBDBpBubW2RyWSkTAaHw8EzzzxjMliS/ZSObM/89m8T+fKXCaDAUxNbTWShQGIa\nRdR8C1Vq5UURSBf1exzY2UdpYS+kUxb4KArUXUSRHtuokjTpbJLT5+W/omTr9+vnsyhi6QQqC9nB\n9iLIorKMFRTo3dPbxVHldQH9fAWVXVzXa0qgQOBFFAD1o0ibl1BEzqdRgNGjj8uh5x4deS6BnSn9\nEz3HBAoo91Cg84TepokC5Dv6fZY+hkX909HvEQLpDAqEX9HvT6FIpKLex5he557+HA5RgNiht+tg\nE3qiSPLqNUiGNY8ihcQnKaA/vz29D/m8QIH3AnaXNlE4gSKgpCtPB9sTqQVseTy00mlCv/7rJB9/\nnHQ6LR3HqNfrBjBLOZl0NDv6fbcsi5WVFfb29pibm2NyctK0H85ms4CtMCwUCqq7kM7Aj42NmXK3\nfD5vSlI7nQ7D4ZDFxUWmpqbweDzGP0KAsNwMSLlBr9czvg9Slna0LE5AtJS3VioV0/EtFosxNjbG\n0tLSMXl0j433Ogbr9/uUy2WT7HgrQwiTO3n0vdOjXC7jcrkMufxW13FUyXS3PlDiYySd1EDhDlE1\ni9ojnU6bTpJCTonS1+12s7e3x9mzZ3E4HObmOxqNsrKywuHhIYlEwlxDqtUq6XSa2dlZ2u02qVSK\nra0tdnZ2mJ6eNh5x4rkkJeedTofvfe97NBoNAoEAlUqF6elpZmZm2N/fJ5/Ps7GxwWg0YmpqynSh\nFALJ5/MxGAzM/jqdDololO//k3/CtZdfxkIlVk6hrt8bKLJlEhVvvouKCYv6twvbw6+Mig8FFHZI\noAibHWzlawQV+/KoOJHATqYEULGnioqrfhSGcKBizTwqwfOc3scTKPXyVeCbKByRQRFQ96NieBEV\nQzf18ThRcVDKt6OoxFINuxtsUB/PKRTuuIFSOef1WsL6tfv1Om4CndOnCX/uc/h06fLMzAxjY2Om\nq+jKygr1ep35+XnTZVDi0O7urilrrtfr9Ho90uk0iUTCWAuMj49z33334Xa7CYVCBgsWCgVTztbp\ndMxnPDc3x8zMDNVqla2tLarVqvE3SqVSLC8vMzU1RbPZZHt722wXiUQYGxszHp+ynqMkUr/fJ5vN\n4nA4mJqaIhaL0e/3jTm42+02Zt9CWN4N9j5a0iaqrLdCIh+P43Gnca+QR48BXzxStva/AKM7mWa/\nzrzvaeByPI7HOzmq1aoJmK8d0j73jUrS7lahJKNUKpn2vxL0xLzbsiwDFgeDAbFYjGw2y3A4ZGZm\nhtXVVcbGxkx20O12Mzk5edv9HF3//v4+2WyW+++/n7W1Nfb29tjf3+epp55idnaWg4MD+v0+09PT\n/NEf/REOh4NEIsHjjz/OYDDgP//n/4zH4+GjH/0o+Xze3OAmEglTX37p0iUajQahUIjTp0+b7hnl\ncpnLly9T/KVfIr29jQN18z9EgbEECiDOoQDYPspkehdl7ibkiLTWzaCIIDHLfAxVljUOPIrdUle8\nBR5HETJXUeDt6yig9pN6zoLe5mMocqKg5xViK4+SzYuqp4EibcIosPtxvdYRChiKUfcplMrmBRQh\nFkSRJi+jQOJnUUD0qNImp/fj0/ONo0DuUK8/p587h+0hIYae+yhQuql/o4/3PhSArejz/DW9lmkU\naN7HLgmLYivB4ihyaEcfTxeVLfbqz+pQr62mj3kcuwuOgPEKSsHk0fMM9bw39LZPocgwGRY2adXG\nztQKcejR2/X1foRMano8OP/e3yPwd/8uoUiETCaD1+tlMBhQq9UYDAbG1L5Wq+H3+4lGowYgS+Z8\nb2+PcrmMz+cjnU4zMTGBx+Mx4FnAcKvVMoA8kUgQDAaNabWUpIlJt2Rtk8kkXq/XdLKRGy0pUXU4\nHHQ6HSPRlxtNUUpJllUUUNFo1NwM12o1QqEQs7Ozx+TRPTbeDxjs7fAtyufzxrfrhz0syzLqp3q9\nfotp/psdopy4W/8jsI3DI5GIUShKybysrVqtsrCwQLlcJh6Pm/Mk5arlcplIJGJIPCHDg8Egq6ur\npmR3NBrh9XqpVCqm8UWj0TBK4M3NTcbGxgiFQvR6PQ4PD5mamjI+bN1ul7/4i7+g2WwyNjbGwcEB\n8XicU6dOUSgUODw8ZHNzk1KpxPj4OJFIhPn5ebrdrmmi0Ww28fl8VCoVs8aVf/NvuP5f/gtVVPw4\nh4pzu9g+RnVU4iiIUiZLV7IGKv4U9O+jsWRGP97Qj09hl2YXUbHQjd2NrYHCEV49Vxrby3AJFVte\nRCWoMqhSczcqju/r94b0z0dQZW5rqC5vggPEX3AfGw8kUURZF4V5ZP3n9dou62PfRMW7GVR8jKES\nWHtA/cMfJvahD5FIp4lEIkxNTREOh00yYW1tDcuySKVSBAIBJicnjfG1EDPyvwQwMTFBNBo1+HBi\nYoJTp06Z/7NMJmP+R8RrU5Sy/X6fiYkJ032tWCya7qXdbtesb2pqim63S6FQMMkRKbFOJBKMRiNT\n/i3fJ5fLRb1ep1Qq4XA4iMfjJBIJ083N5/MRDAYZDAbGkFvKvF/b5fC142hJ29Hy8Ldalns8joeM\ne4U8cqMw9idQ16AXgb9pWda1N7UAXbZ2XK52PI7HXx5vZJqdy+UYGxt7XZlru91WGba79EKo1Wo0\nm03C4bC5oW02m6abWaVSIZlMUigUmJycNPLyEydOUCgUTKcTAeN3Uk6BrawajUa8+OKLPPbYY+zu\n7lIoFHj55Zf52Mc+xvz8PE6nk5s3b3L+/HkuXbrEtWvXiMVifOQjHyESifCd73yHV199lR/90R+l\n1WoRCoXY2NjgxIkTJqu6sbHBxsYGXq+X5eVl0xpdFCDf+I3fYOw//Se8wyFxFLgTkqUORpVUQmX/\nrqBA1FkUALNQBEsfBS6lrEo8fl5GXSzTKODnRpEdH0CRPX0UCBuifJVCwKf0Pjb0HA+jyrcaKCAp\nppzf08/H9VpC2F1dOiiAeU3vs4XKgCZRADmOMsxe0cfb1OtLo4w423ofAngFKIvqSJxCyvrxc3ru\nC0feewG7Q1tYv7em1yak2jwKTLdRBFJGv+bQ80hJXEuv5YzeTxO7a1sEFYgG+nPrYcv1Gyjyqa8/\nwwC2cfmufizm4Bn9+XVQZqr363mODlGUVbDVUT69Rod+boCt2HL6fLC4iO9f/ku6MzOk02nS6TSW\nZdFut42ptpSn1et1hsOhycJKuZrcyHm9XlN+JsBSOtzs7OyQy+VMd7R2u82JEyc4c+YM0WjUkFai\nGCoWi0Z1lEgkiEQiptOMEMXi1eR0Om/xaxDllJQeSAt16b6WSCR44YUXeOaZZ/jVX/3VY/LoHhvv\nB/Lo7fAterfVR0cJnEaj8QMpqYSQfjP+ScPhkGKxSCAQIBKJUKlUcLlcRCIRLMtie3vbJInK5fIt\n6qZyuUy73aZYLHLu3Dlzg1wul3E4HLhcLqP0GQwGpgyu3W6TyWSMMbb42uzu7hIKhYhEIhSLRQaD\ngfEqlGvTc889x3A4JJPJsLu7i8vl4uzZs7RaLYrFIgcHB9y8edP4HC4tLRlSTFRVpVKJUqnE2NgY\ng8GAnaefZvdf/2v2UPFgGRULKqhkhBcVby6jru8eVEw5ibrGN1DkCtiG2oIBuqjStwF23G2hYk5H\n/6RQCuEhKnb5sUvflvUcSRQOWQf+HBW/7kOpo0p6vxUUBgjq/XwSFc9voEikInYypoOKY2792IuK\nwW69fxe231MShRO+gSKkfKgS70f1edkDdj0eSh/6ENOPPcb8wgKBQICJiQkTTwqFAjs7OzidTqOQ\nFb8i6cSWz+dNHJFEid/vJ5vNsre3RyaTYXFxkYmJCWZmZowPUblcpl6vU61WjVKo3W4b5at0DJRS\nb1HLhsNho+jt9XoEg0Fjlh0Khcy6pLxMFO0S7+T7MxwOSSaThoAVPyNR47bbbeMjeDdlbeIxKCqm\nY4Pt4/GDjHej29pXUfcfovb/Xy3L+r8cDsfngH+Fur78B8uy/rc3vYD3AXA5HsfjnRpvZJpdKpWM\noe2dxmAwMFm4uxliHOj1eg34PLoO6fJWKpWMImp3d5fZ2VmGw6H5e2Njg8nJSSPBvd04qop66aWX\nmJ+fNz4ur7zyCvPz8zz00ENEo1Fu3rzJ5OQkvV6PP/uzPyMUCnH27FmWlpbY3Nzkz//8zzl9+jQn\nT56k3W6TzWZN1snr9dJoNLh27ZrpKDU/P28CeKfT4aVvf5vi3/k73GdZFLCzc9JppIrKwA1QJM8L\nKMJGWumK4qiBIkK2UaBsDCUxfxkFCD+h53hJ72MX28NAuqdd0tsmUG3rQSl7lrCl42Vs6XgE+EP9\nvKiPoqjs4POoDGEYRUKBAo4hveZzKGLk9/T6Uvq4voMCsp/W2xw13+yggPE0NoBu6XM0D/wRCnw+\nhAKyLv13GdtjIYICxnKcn0eB1Ip+n3Rum8AmmsZQgFYA9wm9P8n2BrFBssj/BWqNUMBYyuaqeo1z\nei7xZCqjbgDCKEAsZNLj+jnHa346+jjK2GbaYb2PkT52KasbAi63m8jnP0/v53+eQSjEzMwMsVgM\nl8tlpOtiju3xeIhEIsRiMUPYSNa/Xq9zcHCAw+FgYmKCcDhswOhoNOLw8JAXXniBfD5PJpMxaqGp\nqSmmp6fxeDzmptuyLNMlTcrQpD1xv98HlNeR+DnIvkTtNBgMbmlBLDL+er1uOmIlk0kmJiaOyaN7\nbLxfMNjb4Vv0bnofAaZsxeFwGAPetzqko+LdKo5BXTdKpRJut5toNEo+nzc33aDMpv1+P6lUikaj\nQTqdNomrcrnM7u4usViMuTnVp9KyLEqlEh6Ph9FoxO7uLt1u13gRSueqSCTC7OwstVrNKFX29/fN\na9vb2ySTScbHx03Sp9Pp8K1vfcvc3O/s7NDtdllaWsLtdlOtVqlWq7z88st0Oh1Onz7N+fPnGQwG\nHB4e4nQ6mZubY3t7m62tLU6fPk2n02H/u9/l8Fd+ha1Ggx4qvp9AKWy2Udf0CopECWErec6grv9d\nVCwZoOJWHRUbTqHIl1dRcX4RFc8Hej6Jn05UXE2gYu4kKkYW9T6kr+C03tezen8JVLx3oeJMGbtJ\nhk+/9rj++1VUjJSkmB+FI3rYamPpFOdFxfcIKp7O6+O4gYrz66i4/AkUXhC/xSuBAMMPfpCzH/84\nC4uLRCIRQ8A4HA4KhYIp/0okEkYl7vF4OH/+PO12m+3tbarVKqC6eR5tdFIoFEilUpw4cYKFhQUW\nFhYIhUI0Gg2azaZRBgGGNJL4NTExgdPpZGtri2KxiNfrxel0Gr8t8QAU8/Z6vY7L5SKVShEMBo0C\nV7qLlkolox4Wb6RwOEwoFDLJF1EQiRpJtg8Gg294vZGGF8dqpOPxg4x3RXn0To33C3A5HsfjnRrZ\nbJZMJnPb16RNtiiEXm+OOxlvv3b0+32KxaK5KX3tHMVi0agXut0usViMtbU1c4O6vr7O5OQke3t7\nRhV1J9WTdHJLpVKsr6/T6XRMmdqNGzeoVqt86lOfYnx83HRryWQyfOtb36LVapFMJnniiSdotVp8\n7WtfYzQa8clPftJkIi3LIhQKUalUSKVSvPzyy+a8Pfzww6Z0rVKp0Gw2+fOf+znOX7xIGwWUhBx6\nUP8dQgGlfRQZJJ48ThRwArvMKohNYnxUv+8iKoN3AkXkSNnUBAp81VAgcVO/PtJzfQBFdGzo7bdR\noNKHIkvaeru/0OvzojKS0gFtE/ibKIJFpPUBfTxTes4q8FVsw+2cnm8ZpXjyoggRD7Z6p4UCwJKl\nFF+ESRT500dlXbP6ufv0Ossor4QZ/fe+nv+vo4BpS5+Xa9gEUlkfZ1Sfk6E+XwFU5teDbWwd1cdT\n0msWUO/X50vKzGr6Nek4l9ePmyiSq6+Pran39xAKPFtHfmT09P5q2C2OQ3o9I/28vM/hdDIWjRJ7\n+mmyySSBQIBMJoPP5zM3PW6323QzExXfUR8ywHhKHB4e4vV6mZiYwO1202g0DCgOBALs7e1Rq9Xo\ndDrmOzE/P08mk8Hj8ZjOS8PhEMCQqs1mE7fbjWVZVCoV+v2+6dSW1qUJgOmSI+olAc2yRlEcxGKx\nY/LoHhvvFwzWbreNp8kPMse7qT4CjAJxOByazqJvZYgP2tESs7sZR8uGvF4vvV7PJJEGgwEbGxtE\no1FzE51Kpcw16fDwkBs3bnDhwgWTMBIjb7/fT7/fZ29vz3SrarVaBh9YlsX8/LwpKRMcItec7e1t\n01XL5/ORSCRoNps8++yzjI2NEY1GyWazVKtVpqenicfjxnvplVdeYWNjg7Nnz/KRj3yEbrdLsVik\nXq9z7tw5crkcly9f5sSJEzgcDnLr6zT++T9nc2WFQxRxkkHFwV0UqVJCxWEp2x6h4noIFWuqqFhX\nR8WRA1RcOqWfF1/E86hYMdDbVPR8blSskhjt0dsksUvf4nqO6yg1VE8/58TGIAW9fy8qVs6hlMAj\nVBfUbVQCRErRRQXVxi7Jlm5wk3r+GHbziMvA/4vdofVBfR7cKEX0eiSC/8knOf/kk5w5c8ZYBfT7\nfZxOJ9lsllKpZBRAw+GQVqvF/Pw8Z86codFocPPmTUqlkmkIMRqNTGdAKfOU9y8uLuL3+42ivNPp\ncHh4SK/XMx1DRQF04sQJvF4v29vbhiASpZzYMyQSCWO9UK1WTVMWHcuMOkpUwZZlmWYy0r1NDLQt\ny7pFQSTXrOFwSCAQMJ6Brzdeq0YKBoPH3kjH467G20keub74xS++HfO85fGlL33JLGBhYeHdW8jx\nOB736Oh0OqaF9u1Gu91+wwxlt9t93TmOjqM16NKxSeaQDCKoG0zJFDabTSzLIhKJmGAosuHRaHTH\n7Ke0BQ+FQiaDI+BATA5TqRSpVAqv12uMuyuVCoPBgHK5zIKWRlcqFba2tkzW0+fzUSqVmJycNPNK\nSZ5kljweD36/3wT1UqtF7tvf5gHLYhVFxNSxPQ5q2KRAA9sI2oECWydRwDGHUvDEUWCziiJRQBE4\ns9jkVAxFpEzqfQjQO0QBMMkGChHRwzZ3Lum5mnrbql6PW6+5jd0NrIFSKnX1e1x6DlHIyJq+p/8e\n6W1vYBM2DWzCZAKbCJrX+4rpNbn061IuNqmPUTK5otS6ia0OGqIIm4Q+x3IucthAWLKqQuaMo4By\nARswt/UxevXrI71fUQC19Npc2KTSoV5HWL83rI+5i91lLooi79r6GAJ6H/ITwPbBEI+mLjZ5JZ9H\nAHBYFpVOh+rv/A6nwmFGH/oQu9ksuVwOn8/H9PQ0kUiEarVKLpcjFosZFZBkSQGThYzH4zQaDdbW\n1szNZzKZZHJyknA4TCKRMGWo4nWUzWY5ODgw3W8ikQhOp9N4g0hGWJRE8XicZDLJaDQyLZFLpRKW\nZeFyuUy5y9GSOKfTicfj4dvf/jZf/epXeeaZZ/jiF7/4JY7HPTO+9KUvffHdxoFvxxDTd4/Hc1dx\n7k5zCGF6t4bTb/fw+/1GfQi8ZRWUw+HA5/OZrqZ328FJ4n6/36fdbpubaFEJ+Xw+arUaDocDr9dL\ns9k0ZHMwGKTf77O9vU0mkzEYIBAIUK/X8fl8BAIBo9wQj6dms8nExAS5XI50Om2IhWAwiGVZxj9R\nFEjD4ZDBYEA0GiWVSrG5uYnP52NsbIzhcEgulzNebi6Xi+npaSzL4vLly+zv77O8vGyI75WVFTKZ\nDNPT02xtbeF0OnEHg3ifeopErYZjbY0KKmZK8kY89tyoa7rErwoqFoRQsUtiWRVFQHVRiRTpWraP\nwgcuPVdcv7+jP4um/hEF0AVs9S56vwNUnFvA9kR0oeJuHYVDEtg+fDWUWqiLwgMZ7HJwOSbpFlvH\nTthIQqmLimctVGwTVW4Aley5ge35dAGY6/WorayweeMGN6tV+pbFqVOniMViBj9GIhFTpi1YNpvN\nsrW1hc/n49y5cyaBKEo2Kf0SVbmYpYuaaWxszMQ0KYGULqbiPbS7u2s8tZLJJIPBAMDgweFwSKlU\nYn9/3xitp9Npo14TA3nxaxJis1Qqmf8/wbOVSoVut8twOKTZbBp1rxjVS/MW+e67XK7bfmcl1kpp\nXb1ep9VqAZgOrMfjeNxufOlLX3rb8Nex8uh4HI97fIhZ9e0IotFoRD6fv6Mp9d3McbuRz+cBTGcM\nsM275QYzHo+bjJGUui0uLlIul6lWq8YHxe/3k06n7wjoi8WiaU/66quvsri4aLpJXblyhRMnTvDI\nI4/g9/tZW1szXd+uXr1KtVrl0UcfZWFhgevXr/P973+f8fFx7r//fkM+LS4uUigUTBeM69evEwwG\nabVaXLhwwWSEarUazUaDr3/2s/xIpWI6eQ1QwO8J7HKmNArAraLURyEUKPwkClytoYDdJApwXUSZ\nV4b14xhKgi4KnBYKpP0tMH4L30GBy4h+3wMoELeGArAFbG+eR1Ags4Xy/PHpn7h+nx9F6nwUBST3\nscvg2vp4TqBUR99ESfJPooDtil7zx/V7dlAESxBFGr2sj/8JvRbxkqT95AAAIABJREFUfkiiwGce\nmyC6jMp8zupzID4QAnbRz59FAVifnrOIAtsNFFEX1PN29XsF/KZQILmut/eg1E2Heg705+TQ8wWw\nCbcutoKpoY+pos/Vpt42o+fyoTKskpm93RAj9bJeU18/L2opeVz2epmNRnEFgww7Hbw/8zP4f/In\nGTQaBM6dI5pIGL8EwBhYS2Zf1BJC4uzu7hpz+UQiYW4+BcBKGVqhUCCXy1EqlQiHw5w5c4a5uTkc\nDodRLlmWZRRG0oLb4/Hc0nZbDLQl++rxePB6vab8DSAcDhsi+lh5dG+N9xMGa7VadDqdN+X189rR\n6XRMSda7NaQ74nA4ZGpq6i2TYWAbaB8tMbvbIf5BlmUxOztrbkwPDw8B5fPidDqNwbDObPPKK68Q\nCoVYXl42c4m3ms/no9vtsr+/b5RLe3t7ACwvL3N4eGg6pcrNvJBY2WyWZrPJ8vIyo9GIUChEKpVi\nf3+f3d1dIpEIkUiEg4MDDg8PcTgczM7OmpLbq1ev8vzzz+P3+/nMZz7D+Pg4h4eH7OzskMlkCIVC\nRj1ycHCgcMk3vsHav/23pgxshFKg3o+K3Tew/YkO9LHOouKslL+79PuaevsRiniZRsX7PVTsCmPH\nygIKe4yO/IzpffdQBFBP72sKWxlcQ8XkPnY3uAB2wkNKvsWzKYOK4y1UbNzTx2np7S29H/FXlNcW\nUXhkAkVc9fWan0VhBicKu5xD4YYCurz7wgWG585x34ULfPjDH2Y0GnFwcGCsBprNJjMzM1iWxd7e\nHv1+n1QqxfT0NAsLC9TrdVZWVmi326abaLfb5fDw0MRB8QO87777OH36tCEvu93uLYSLeP6Vy2XC\n4bBRLUqsBUx5dqPRMATSxMQE6XTa/E/3+33TWU1KwMX82+v1GiJXcKbsV16LxWKmu5qQtu12G6fT\naRRJr3cN6PV65tp3t6Vwx+Ov3njfKY/e7TUcj+NxLw/Jst3O10gMcX0+3+sCw9eb43ZDgptkGgHj\niRIIBEzXMsDIdmu1GtFoFLBVSvV63Zjs3kmOOxqNTE241KhLprNQKBgJs9/vZzQaUavVDOCUbZaW\nlnA4HBwcHFCr1Th79qzpwNNut5mcnGRra4uZmRkODg6M6a8YFktnKb/fT6lYJH/5Mg+ORkYRVMH2\n06mgQJeobFoocNVGkQ7nsH1whEDaxW6560ABuEkUCJPWuRX9+ASKGJlHAUSXfk8ZBdjc+vnka9bh\nwO72JZ3Ngkfm76EA3px+zYkiZmZRgLCl51pCSdmFjHHp+XdRgFiMussocCtlfA1UpvEQW+kjhpvS\nhS6u1y5kT1o/18XOjA71eZBsqUM/zqLInZp+z4zezzUUCA/p1xL670O9354+Zj+2PL+HArNufcxu\nPWcWBXgD+vNM6e182CWF4hy2o+eLYvsqHR0OvV1UzyER26nPlajIhsMha60W7mqVuWaT9ve+R/43\nfxP37/wOvn//7/E4nYQ//GECuvtav9+n0WiYUkvLskz2VkpuxsbGqNVqphRNCB8hcKQT4fj4OMlk\nkn6/z+rqKqurq7hcLhKJhLkBl3LReDxuvt8CrgXwSkY1FosRCATM9UZ+NxoNOp0O/+Jf/Itj5dE9\nNt5PGMzj8VCr1fD5fG+ZcHG73bRaLRwOx7tmTivxUvxefhDvI4/HY9QOb3Yej8dDIBCgWCyaDlWA\nURxFIhHjYTQYDIwCKRqNsru7a9TIr1Ugeb1eo7BqNptkMhnjUZPJZCgWi8YLsdvtmnKieDxuynqj\n0agpS8pkMuYa1O12GR8fNybFoq4UX6VEIsHGxgbXr1/H7/czNzdHJBJhd3fXKEmkRPjmzZsM5+Y4\n+5nPUPvGN/D2+/RQCZwSqgx7GhULRqiYLZ1FndiK3C4qzlrY136J6VFUDCxhq2r7qNgoquARdqJj\nDRVTT6Ji1S4quePRjy1UQuVoEqWv1yQeSgm9n65e377e9xgqTouRtsRar567rx+79H5FiZzV611E\nEUkyf1WvbVvPEQYSBwckLl1io1rluxsbDEYjlpeXjbLV4XCwubnJcDjkzJkzeDweDg4OyOfzHB4e\nYlkWZ86cIRgMmrK1YDBIMpkkEokYE+tarcbW1hbr6+t0u13S6TSxmHKMcrlchMNh49EnXUZLpZLB\nvBK/ROUkSnVpEJPP583/WjqdNl5H3W5XqdfcbvP/6Pf7jcegeID6/X6TXBGTb/HnFKWUx+Oh1+vd\nUnJ+O3WRy+Uy5XCWZRnPp9dTMB2Pv3rj7VQeHZNHx+N4vAfG65Wm9fv9uwK6d1PeJkNu+izLMu2P\nRZEgEmPxNZGyM/kttdxSDx6NRhmNRnckrsRbJRQKmZI3l8uFz+ejWCzSaDRMK3E5DvGGCQQCbG1t\ncebMGbxeL8VikWq1SjweN0FWbpQrlQp+v59Op0O1WiUcDtNut42xoSglYsvLXPnt32Z5NKKCXSbW\nQgEj8cmJYJesHaAAk6iC3ChgVkKRDQGU6uZBFEnkRgHHBRQwrKKInmuo7iUtFAEyRIGvOLaf0Bls\nj6MeikTpYpdciYy+fOR1kZ9LFnJcr6GqXxtHgT0pMZtAqarCKNDnRgHEHApciqtIHbsEbFs/fhBF\n3NT1ORHyRzwRvCiwOsIudXPpfXWxlTpufQ4EENf0GsQkvIsihTwog/GEPk81vY9pPc+63o94NIz0\n8wO9tgGK5HHpx3sosieITXDJeWjrz1Rer+nHHv34dikdIfXC2Nle9Pnu6GOb1cd0FfANBowPh/gG\nA9ztNt3nn6f15S/j9nrx+3z0Ewkq2s8BMO3FhSyVTkJC2larVer1ulEFSemI3CBLydr4+Dhut5vN\nzU0DuIVE6nQ67O/vmxtD+e53u11zjRBfpF6vRzQaJRKJGMWRz+fD5/Pxa7/2a8fk0T023m8YTBID\nErfeyjga196t4Xa78Xg8ZLNZYzb8VofP5zOlYnebQJLhcrmIxWLs7u6aUjJRG4nHlHgXgiq7E0VF\nuVw2JeJHCaRGo2H82KR1+uTkpOkymUwm6Xa7Zv6jnR8TiQSHh4emA6SUyU5NTVGpVEx5eiKRMAbF\n+XzedIibn583now3b95kMBgwOTnJ2NgYxWLRlLYnk0kuXLjA5uYmu50OF37+52l8//t4CwXcKPJk\nFxVzHuZWU2sXCguUUXFISsqD+kcSLxFUjHei4l0HOyaVsc2sA6h4ITFkHxWnpAubExV/i3o9olIa\n03OKCXZZr9OF7ZnY0z8t7G6qCWxySkggIb2m9ZrBjslOFDYoojDNOZTSyULhgK7+LeroKjC1t8f4\n5ctsdjpcymZN3Jibm2NxcZFKpcLVq1fxeDwsLy/j9XopFArUajX29/dxuVwsLCwYOwMpR0skEqbB\nRKPRMIqmjY0Nk8wUkkq6rUWjUaLRqNlHp9MhFArhcrlot9u3/L8mEgkcDof5v8vlcuTzeYLBoFGv\nSXMLUARsuVym1WoZhZEkgaTsTkptpUyuUCjQ6/Xw+/2Ew2HC4bAx/RYfJfluHiWS5D5ASvpkjZLs\nOS5r+6s93nfkkfx97Hl0PI7HXx5Op5N6vX5H3yAJRK8HCt9ojtcOaVM6HA7NNjJHKBSi1+vhcrlw\nu93Gn+Bo1kTaeEtJS7/fvyMQd7lcJnskWRPJ/jQaDdORbXZ2FpfLZUCqw+EwEmCv18v4+LhRY7Tb\nbRYWFkwnKK/XSyQSMf4x+XyecDhMpVIhnU7j8XjMel1eL7VCgeqNG5yxLK6jyJUBCgyJebO0tpXu\nY1KmVEMZXFf0Ng0UwFvRj8+gAFQeRew0UUBLSt32UGVo6yiyJYvtP7SLymbGsDODFopkQf8O6H1L\nd68RCtDl9b5cKFAp3k3ber8JFPhr6/069VqSehsx9NzWr4f1fnooPyePfpxFGXru6TUm9Gtybpb1\nuqr6dSFWmihSSnyGwPYLCqDInzxKLSUlf00U8eLXz4MC5yK1F7+HHX3O/ShA7Nf7KerPUErcpJwg\ni+1dIYos8aNo67k7+j3o45L5X8+6UozFLb12H+p/S24UfPpvadXcBjz9Po5ul+xzz1H67d8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Pt9y9hR/a5AIEAqlSKbzZLJZKxTqcfjsYydyWRiv0OlUsl+/1XXbzwe2zaydDpt/0eKxSLtdtuy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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x6971750>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots(1, 2, figsize=(20, 7))\n",
"ax[0].semilogy(xs, y[:500].T, 'k', alpha=0.1)\n",
"ax[0].fill_between(xs, np.array(ydown), np.array(yup), color='red')\n",
"ax[0].set_ylim(1E-3, 1E3)\n",
"ax[1].plot(xs, y[:500].T, 'k', alpha=0.1)\n",
"ax[1].fill_between(xs, np.array(ydown), np.array(yup), color='red')\n",
"ax[1].set_xlim(900, 1800)\n",
"ax[1].set_ylim(0, 8)\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 34,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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Zjo69D5r2NJyaMqXV/+UAgPFOaAQA0AIDc0LtbdC0pwFVKfs/Emp3n5kyxSt7\nADAZCI0AACaYWpMdO/Z/JNTulr6+ZNq0xut1U6Y0lqHbu+7vybHOzsbS0fHcemAZuj8a2wIwABje\nSIZGHSNxEQAA9k8pydSpjWXBgpG//o4dzy3d3bvf39tjPT2Nb9Pr6WksA217ur2vn2lvf+Fgqa1t\nZJf29pG/5mjWU0pzuDZ0f1+Pjda5rbjnC50LMNkJjQAAJoGBUUITQa2NeateKGSqtTHCan+X3t6R\nuc6eLD09I1vTrv/dhtvem2OjdW4r7vlC5wKMRyP9LPN6GgAAAMAEMZKvp7WNxEUAAAAAmFiERgAA\nAAA0ERoBAAAA0ERoBAAAAEAToREAAAAATYRGAAAAADQRGgEAAADQRGgEAAAAQBOhEQAAAABNhEYA\nAAAANBEaAQAAANBEaAQAAABAE6ERAAAAAE2ERgAAAAA0ERoBAAAA0ERoBAAAAEAToREAAAAATYRG\nAAAAADQRGgEAAADQRGgEAAAAQBOhEQAAAABNhEYAAAAANBEaAQAAANBEaAQAAABAE6ERAAAAAE2E\nRgAAAAA0ERoBAAAA0ERoBAAAAEAToREAAAAATYRGAAAAADQRGgEAAADQRGgEAAAAQBOhEQAAAABN\nhEYAAAAANBEaAQAAANBEaAQAAABAE6ERAAAAAE2ERgAAAAA0ERoBAAAA0ERoBAAAAEAToREAAAAA\nTYRGAAAAADQRGgEAAADQRGgEAAAAQBOhEQAAAABNhEYAAAAANBEaAQAAANBEaAQAAABAE6ERAAAA\nAE1GJTQqpVxcSnm0lHJn/3L6aNwHAAAAgNHRMUrXrUkuqbVeMkrXBwAAAGAUjebraWUUrw0AAADA\nKBrN0Oj9pZS7SymXl1LmjeJ9AAAAABhhpda6bx8sZUWSg4c59PdJfpRkXf/+f0+ytNb6nl0+X/f1\n3gAAAAA0K6Wk1joib3/t85xGtdbf35PzSimXJblhuGMXX3zx4Pby5cuzfPnyfS0HAAAAYNJZuXJl\nVq5cOSrX3ueRRs970VKW1lof79/+2ySvqrW+fZdzjDQCAAAAGEFjYqTRC/hoKeXENL5F7aEkfz5K\n9wEAAABgFIzKSKM9urGRRgAAAAAjaiRHGo3mt6cBAAAAME4JjQAAAABoIjQCAAAAoInQCAAAAIAm\nQiMAAAAAmgiNAAAAAGgiNAIAAACgidAIAAAAgCZCIwAAAACaCI0AAAAAaCI0AgAAAKCJ0AgAAACA\nJkIjAACnfNQcAAAIRElEQVQAAJoIjQAAAABoIjQCAAAAoInQCAAAAIAmQiMAAAAAmgiNAAAAAGgi\nNAIAAACgidAIAAAAgCZCIwAAAACaCI0AAAAAaCI0AgAAAKCJ0AgAAACAJkIjAAAAAJoIjQAAAABo\nIjQCAAAAoInQCAAAAIAmQiMAAAAAmgiNAAAAAGgiNAIAAACgidAIAAAAgCZCIwAAAACaCI0AAAAA\naCI0AgAAAKCJ0AgAAACAJkIjAAAAAJoIjQAAAABoIjQCAAAAoInQCAAAAIAmQiMAAAAAmgiNAAAA\nAGgiNAIAAACgidAIAAAAgCZCIwAAAACaCI0AAAAAaCI0AgAAAKCJ0AgAAACAJkIjAAAAAJoIjQAA\nAABoIjQCAAAAoInQCAAAAIAmQiMAAAAAmgiNAAAAAGgiNAIAAACgidAIAAAAgCZCIwAAAACaCI0A\nAAAAaCI0AgAAAKCJ0AgAAACAJkIjAAAAAJrsc2hUSnlLKeUXpZTeUspv73Lsg6WUB0op95VS/mD/\nywQAAADgQNqfkUY/T3Juku8NbSylHJfkvCTHJTk9yb+UUoxoYlJauXJlq0uAUaefMxno50wG+jmT\ngX4Oe2efw5xa63211vuHOXROkqtrrd211oeTPJjk5H29D4xn/lBiMtDPmQz0cyYD/ZzJQD+HvTMa\nI4AOSfLokP1HkywbhfsAAAAAMEo6nu9gKWVFkoOHOfTfaq037MV96l5VBQAAAEBLlVr3L88ppXw3\nyf9Va/1p//7fJUmt9Z/697+d5B9rrat2+ZwgCQAAAGCE1VrLSFzneUca7YWhxXwjyVWllEvSeC3t\nqCS37/qBkfoFAAAAADDy9nlOo1LKuaWUR5KcmuSbpZQbk6TWujrJdUlWJ7kxyV/V/R3OBAAAAMAB\ntd+vpwEAAAAw8YzGt6e9oFLK6aWU+0opD5RS/u9W1AAjpZTycCnlZ6WUO0spt/e3LSilrCil3F9K\nubmUMm/I+Z/s7/t3l1JOal3lsHullM+XUtaWUn4+pG2v+3Up5fz+8+8vpbzrQP864Pnspp9fXEp5\ntP+Zfmcp5Y1Djn2wv5/fV0r5gyHtfq5hzCqlvKiU8t1Syi9KKfeUUv7P/nbPdCaM5+nnnulMGKWU\naaWUVaWUu/r7+cX97Yf3tz9QSrmmlNLZ3z61lHJtf/uPSikvGXKtYfv/cA54aFRKaU9yaZLTkxyX\n5G2llN860HXACKpJltdaT6q1ntzf9ndJVtRaj05yS/9+SilnJHlprfWoJO9L8qlWFAx74AtpPKeH\n2qt+XUpZkOT/SXJy//KPQ/9SAmPAcP28Jrmk/5l+Uq31xiQppRyX5Lw0fnY5Pcm/lAY/1zDWdSf5\n21rr8WlMK/HX/X3UM52JZHf93DOdCaPW2pXkdbXWE5OcmOT0UsopST6a5GP9z+1nkryn/yPvSfJU\nf/s/95+3u/6/22yoFSONTk7yYK314Vprd5JrkpzTgjpgJO06sfubknypf/tLSd7cv33OQHv/NwrO\nK6UsOSAVwl6otd6axh86Q+1Nvz44yRuS3Fxr3VBr3ZBkRZr/gg4ts5t+njQ/05NGP7+61tpda304\nyYNJTomfaxjjaq1P1Frv6t/enOTeNL6sxjOdCeN5+nnimc4EUmvd2r85JUlnGsHo65Jc398+9Hk+\n9Dn/lSSv798erv8PDH5o0orQaFmSR4bsP5rnfkPDeFST3FxKuaOU8mf9bUtqrWv7t9cmGQiGDklz\n/z/0wJQJ+21v+vWy/vZHh2mHse79/a/lXD5kJMXu+vPu+j+MOaWUw5KclGRVPNOZoIb08x/1N3mm\nM2GUUtpKKXel8dy+Ockvk2yotfb1n7Imz/XZweyl1tqT5NlSysLs5fO8FaGRmbeZaF5da/0/krwx\njaGwvzv0YP+3Bw7t97v+a4ffE4w7e9CvYbz6VJIj0hj2/XiSj7W2HBgZpZRZafxL80W11k1Dj3mm\nM1H09/Pr0+jnm+OZzgRTa+3rfz3t0DRGxx07Upfe3YFWhEZrkrxoyP6LsnPKBeNKrfXx/vW6JF9L\nY2jf2v6h3CmlLE3yZP/pu/b/Q/vbYDzYm3796DDtnveMebXWJ2u/JJflueHa+jnjVv+kqF9JcmWt\n9d/6mz3TmVCG9PMvD/Rzz3Qmqlrrs0m+m+R30niNeCDbGejLSaM/vzhJSikdSebWWp/KXv6dtBWh\n0R1JjiqlHFZKmZLGBEzfaEEdsN9KKTNKKbP7t2cm+YMkP0+jT5/ff9r5SQZ+QPtGknf1n39qGkMJ\n1wbGh73t1zcn+YNSyrxSyvwkv5/kpgNbMuyd/r88Dzg3jWd60ujnby2lTCmlHJ7kqCS3x881jHGl\nlJLk8iSra60fH3LIM50JY3f93DOdiaSUsmjgFctSyvQ0nsP3phEevaX/tPOTfL1/e+hz/o/T+NKD\ngfbh+v+wOkbyF7Enaq09pZT3p/GHTHuSy2ut9x7oOmCELEnytcafU+lI8q+11ptLKXckua6U8p4k\nDyf5kySptX6rlHJGKeXBJFuSvLs1ZcPzK6VcneS1SRaVUh5J4xtz/il70a9rrU+XUv57kh/3X/ZD\n/ZOnwpgwTD//xyTLSyknpjFM+6Ekf54ktdbVpZTrkqxO0pPkr/r/5drPNYx1r07yziQ/K6Xc2d/2\nwXimM7EM18//WxrffuaZzkSxNMmX+r/lry3JtbXWb5ZSVie5ppTy/yb5aRoBavrXV5ZSHkjyVJK3\nJs/b/4dVnucYAAAAAJNUK15PAwAAAGCMExoBAAAA0ERoBAAAAEAToREAAAAATYRGAAAAADQRGgEA\nAADQRGgEAAAAQBOhEQAAAABN/n9B+AQ5nAvIWQAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0xbc9b2d0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots(figsize=(20, 5))\n",
"central_values = [function.Eval(x) for x in xs]\n",
"ax.plot(xs, np.array(ydown) / central_values - 1)\n",
"ax.plot(xs, np.array(yup) / central_values - 1)\n",
"ax.set_ylim(-10, 10)\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## ???????"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Let's try a simpler approach\n",
"We want the statistical error for each bin, where every bin contains the number of events per bin. Using the original binning $[a_0, a_1, a_2, \\ldots]$ the error on the number of events in the first original bin is:\n",
"\n",
"$$\n",
"\\int_{a_0}^{a_1} (f(x) + \\delta f(x))\\, dx - \\int_{a_0}^{a_1} f(x) \\, dx = \\int_{a_0}^{a_1} \\delta f(x)\n",
"$$\n",
"\n",
"where $f$ is the parametrization of the pdf and $\\delta f$ is the parametrization of its absolute statistical uncertainty.\n",
"\n",
"Now suppose that we partition the first original binning in $a_0^0, a_0^1, a_0^2, \\ldots, a_0^n$ (I am assuming that $a_0^n = a_1$ which in general is not true).\n",
"\n",
"At the end in the workspace every new-bins has an uncorrelated statistical error (1 bin = 1 NP). So, since we want to conserve the error:\n",
"\n",
"$$\n",
"(\\text{error}([a_0^0, a_0^1]))^2 + (\\text{error}([a_0^1, a_0^2]))^2 + \\cdots + (\\text{error}([a_0^{N_0-1}, a_0^{N_0}]))^2 = \\left(\\int_{a_0}^{a_1} \\delta f(x) dx\\right)^2\n",
"$$\n",
"\n",
"where $\\text{error}([a_0^0, a_0^1])$ is the error on the number of events in the first new-bin. Now, if I suppose that the error in the new binning change slowly and that $\\text{error}([a_0^0, a_0^1]) \\propto\\int_{a_0^0}^{a_0^1}\\delta f dx$ I get:\n",
"\n",
"$$\n",
"\\text{error}([a_0^i, a_0^j]) = \\int_{a_0^i}^{a_0^j} \\delta f(x) dx \\frac{1}{\\sqrt{N_0}}\n",
"$$\n",
"\n",
"where $N_0$ is the number of new-bins inside the first old-bin."
]
},
{
"cell_type": "code",
"execution_count": 99,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"for ibin in xrange(1, final_histo.GetNbinsX() + 1):\n",
" # find the edges of the new-bins\n",
" a, b = final_histo.GetBinLowEdge(ibin), final_histo.GetBinLowEdge(ibin + 1)\n",
" # compute how many sub-bins there are\n",
" x = final_histo.GetBinCenter(ibin)\n",
" nsub_bins = histo.GetBinWidth(histo.FindFixBin(x)) / final_histo.GetBinWidth(ibin)\n",
" # the error is the integral of the parametrization of the abs stat error divided by sqrt(#sub-bins)\n",
" error = function_stat.Integral(a, b) / np.sqrt(nsub_bins)\n",
" final_histo.SetBinError(ibin, error)"
]
},
{
"cell_type": "code",
"execution_count": 100,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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U2Y5BsHUjALQrikIbPG2SN5vNfD5v/P2sXehhR/rRIwLaqx9+uz928rXXXhORt99+Wx/f\nbDb99NUfRW/LarVarVbhrExvPp9Lh9Mjw9EN/ZYTGQwKLempF01ZofrsM3f/vty9S1wAgD10loD+\nZtbmMPVZ7pQjlf2GBH6+gv/cGM5d8O3xw4cPReStt946+ieeKLwtOhch/Go97kTKsowmKOiTU9st\ndGcwKFxA06kQ10Tc48fu/n33ve8xwxEAYmVZOueidqu9GTulkfMNraaNxWKx3qWPazJYLBbar6B9\nDJfXeHPCWKBfap/UuVqt6nfslLD1hY5DFGNxyRJt5yvodkxVOGvhxg1mLQCYrtSvYmmaTBA2Rv4J\n9cV++tG/4xwFbWLDVZfhS0VrEX2DeMmtF+o/Tq9BQ0y9gU412dHd87fIh4yWC+h6qR2fNxYXjj6P\nHl3duBHv28gMRwATl/pVrI29zmFU0YYHsjuZUbY9Ab7Za9lwKdrEKWyG/U/xLxV+1Q83fPDBBz3d\ngP3qQSGa6dkyzTN6XGqLO7r0BRAULme7deNTdm8EANXyq7g+R6++R1D0Edk3/O1BIfWajT83/JKu\nfbh889FI89Ppr7D3RbqX19q5HacfM32csqw++qj6u7+r/vCHnWkfnCAFYIL2HjgUbnnU+KVwz6XG\npx2h5YdOEKdHDuPx4+qVV64++yzOCv/wD+6NN5g3CmAqOD0yfwSFwdSywhcX88IL1c9+RtcCgEkY\n/Fcx9iIoDKmxX0FEbty4+vBDsgIA+/ra4w5nRVAY0jYrOJGdfy1MWQAA2zJphnrEwPlZ6I5MN26I\nH3pQHDgJABgXa8Enqyj3+HH1N39z9ZvfSBTItF/hP/9TZjO6FgDAlKyaoV6YK89AyyNbvPvu1Y9/\nXO1OWai+8hV5+tS99FL1j//oGIkAADMICrnLs4Z2pze6cDyCGY4AYEmezdApmKNwCbuHSO28gf74\nR2YtAADyRVC4kO30xirqURBmOAIAMkZQuJw7d9yHH7qXXroSkWvXrsIvaVZ4772rxLcCADAMa0Mp\noxgcKsvqG98QNnAEAHtG0QwdxFx5xlNDbOAIAPaMqBnqiKGHwQQzHJneCADIFEFhSO0bODJlAQAw\nOILCwHSG4wsvVCJhLKg++8zdvy8vvviUrgUAwIAICsO7c8d99NFXHjxw240WRERPk3K/+c21oqjo\nWgAADMXanIsMt3Du7vHj6u7dP4lc35456XdcqF56SdjsGQDyx2TGEagShr6u/e7ccY8ePSvyeTRl\nQcT96lfu1VeZtQAAuDRrwcdAlHv8uLp79xORb4hcDx5mowUAGAEDzVDEYI/C2N2546rq1oMHXxV5\nEsxw/HLWwquvsngSAHAhBIVM3b9/raq+9eCBE/nT7kjEkz/+0d29+zuGIQAAF2Cth8Ren8/jx9Xd\nu/9P5KvbGY4i8onIU5HbIv/30aP/yjAEAOTDXjNEj0Lu7txxjx5dF/lU5E/bx26KPC/ysch/uXv3\ndwxDAADOh6AwAttZC9d3hyG+zAoMQwAAzsRaD4m9Pp8QwxAAkDl7zRA9CmPCMAQA4MKsBR97Ua6R\ncz8X+e/BHo4i8kTktsjH7757+8UX3WxG1wIADMBeMzTK8pRlKSJFUdS/ZK+GUmrDELrfMyMRADAk\ne83Q+MrjT3OYzWaaGKKvjq5ER9vu4fh1kWeDgyFk27tAVgCAS7PXDI2sPMvlsixLzQfOufV6HfUr\n2KuhvZz7ucjrItdFqt2RiPdFbotIVf2PAS8PACbFXjOUy2RG51zUPVCWZVEUzrkwChRFsVwupXX0\nYWqq6oePHl0XeaJ/2z78vMg9kb8Wed25T5nkCAA4ThZBQdv+yHw+32w2s9lss9n44YaiKDQrzOfz\nxWJx0avM2J07rqq+9eCBsCACANCvZ4b98cvlcrVa1R/XrgLfe+OcWy6Xmic0NNQHHXD//rX792/V\nFkQ8r8MQd+8yDAEAONjAPQpFUSwWi9lsFj2ufQn+r7PZTPOEZoWqqkgJKVX1Q5H/LfI5wxAAgNMN\n3KOgQwllWc7n8/qX6s/30xj1r439Cv6r3RmbeFJVP9xdECEiN0WErgUAwKEGDgqHqq+HrDPW6h9H\nj4doGoa4pxstOPdv7757+403spikAgDIFu2EZU3DEDdFvqW54f7995z7J+ceDHiFAIDM5RsUunQe\nNHIJvV7daGwXT366e/KkiDwv8rrIxyK3nfunwa4PAJC3fIPCZrMJ/1yf8JhSJZznMkdAhyG2XQvS\nNMnxY7oWAACNMg0K6/Vatmscwv/jaFX1Q5H3RT4ReSJytX34Jl0LAIAWmQYFXTa5Wq2cc6vVarFY\ndF8PydBDSlX9sKpuibwv8n92RyLoWgAANMt9S2rdyLn78+1tsn0m2xMivhocDyGcEAEAJ7LXDJkr\nj7kaOp9gr4XrQVzQg6o1LnxcVT8a8hIBYGzsNUPmymOuhs6NrgUA6JG9ZshcedJzEYyVtEfO/Vzk\nvyW6Fm6LvEfvAgB0RFDInb0aupimrgUnUtG7AADd2WuGzJXHXA1dUq1rwW1XRjBxAQA6sdcMmSuP\nuRq6vG3XwvXaV+haAIA97DVD5srDHIU+bLsWnorc2nYtKLoWAKANQSF39mpoKNttl14U+T5rIgCg\nI3vNkLnymKuhwbWuiaBrAQB22GuGzJXHXA3lwLkHIt9kuwUA2MteM2SuPOZqKB90LQDAXvaaIXPl\nYTLjOXXoWviYxABgyggKubNXQ7nZZoV618ITkVsiv6V3AcCU2WuGzJXHXA3lqalrwe/OpL0LQlwA\nMEH2miFz5TFXQ9na7Vp4dveLfuLCF4gLACbCXjNkrjzmaihzQdfCsyJXTRMXhK4FANNhrxkyVx5z\nNZS/bVZ4WeSWyOeJNRFCXAAwBfaaIXPlYdXDQJx7IHJb5POmNREsoQQwFQSF3NmroXFJr4kQRiIA\nTIG9ZshceczV0BjtromQ1O5M+hCJAYAl9pohc+UxV0MjFXQtfKNpd6bbIu+FzycuALDBXjNkrjzm\namjUEiMRuuMC8xwBGGSvGTJXHnM1NHbb46rD3Zn81kzCjgsAjLHXDJkrj7kasmF3JOK6SJWY5/gF\n4gKAkbLXDJkrD8sjcxV0LbysJ1Prw9s/MBIBwAKCQu7s1ZAx27jwosh3m+Y5MhIBYNzsNUPmymOu\nhuzZZgXpsOPCF4gLAMbCXjNkrjzmasiw2jxHaRmJ0EdJDAAyZ68ZMlceczVkW5AVGndc0Liws+kC\nWQFAzuw1Q+bKY66GpmA3LkQjEbqWksEIAONgrxkyVx5zNTQdiZEIv+lCPM9RiAsA8mOvGTJXHnM1\nNCm1kYjrtacQFwBkzV4zZK485mpognbjwlORW9uuBS8eiRDiAoA82GuGzJXHXA1NU7CEUkReFPl+\n67KILxEXAAzLXjNkrjzmamjKajsu7N+gScgKAAZlrxkyVx62cLZlt2shtUGTjwtf7rggJAYAQyAo\n5M5eDUHt9i7UN2gSkSfRjguKuADgkuw1Q+bKY66G4CVGImQbF3QhJXMXAAzJXjNkrjzmagiR9MQF\nv+OCEBcADMVeM2SuPOZqCI2a4sJ1kWrvVEchLgA4J3vNkLnymKshpNTmOb4sctt/MfhSw6YLQlwA\ncB72miFz5TFXQ2hX23Hhu7W5C5LqWlAkBgA9stcMmSuPuRpCF02rKNs3XdhZSCnEBQA9sdcMmSuP\nuRpCR7tZQfZtutCwkFKICwBOZq8ZMlceczWEQ9V6F+qbLrQtpBTiAoAT2GuGzJXHXA3hCOmRCKkt\npGSqI4A+2WuGzJXHXA3haIm4oEdXV12mOhIXABzKXjNkrjzmaggnaooLT7cLKfdvuiDEBQCHsNcM\nXRv6Ato458qyDB8py7IoCudcURTDXBPGZreZ/73IL0TeF9mIfCryp2AM4qbI8yL3RF6PXsG5B7WZ\nkgAwFc8MfQFJy+Wy/uB8PheR2Wy22WzspTaciWaF3cb+I5GPmqY63hQRkXv13oXw2+ljADAdOfYo\nLJdL59xqtYoe116EqqrKstSI0BgmgEZNrfvvRd4X+VTkc5Eq3btwO/o2+hgATEeOH8rLrc1ms16v\n/SiDc242m/nBiKIoNptNdP10M2Cvpja+8ThK1Xx6tUfvAoCQvWYox6GHoiiKoijLUgcaoi8NcUUw\nxTftQWLQuQuNceFbIlXjYET4IsQFAFblOPQAXEatdfdTHf1ghJec6qgYjABgVY49Cidyzu1/0i5j\n3UTormmeY9S7EJ5enZzqqOhdAGDPyIJCtFqyEa0+DtUaF/T0an1THRAXhMQAwISRDT1sNpvwz7PZ\nrP4cl3DBy8QopZdFbDqsjGjAeAQAA8YUFNbrtWyXRIb/j1QJl7xUjFRV/agpLnxUm7vQdSGlEBcA\njNyYhh6KolgsFqvVSrdYWCwWLILAOTSNREjryggdjHhd5JbIb5m+AMCSUS731I2cG7/UMsQwxpJi\nWOmegMa44A+lTB4b4ZEYAKvs7aNgrjzmagg5SCSGMC7UEypxAZgie82QufKYqyHkY19ceFbkSp8Y\nfPVJe1ZQJAbADHvNkLnymKshZKV1MOJlkVsif67tA72/a0ERFwAD7DVD5srDHAWcXzou3Bb5PDEe\nQVwAJoGgkDt7NYRstS561PGIr4tcT8SF2yIft78+iQEYI3vNkLnymKshZG5fXHg9cSJlciFlhLgA\njIu9ZshceczVEPLXoWvh+IWUirgAjIW9ZshceZijgIF0jgvHLKT0SAxA5ggKubNXQxiXbnGhcSHl\nAXFBSAxAruw1Q+bKY66GMEb74kJqIaUQF4Cxs9cMmSuPuRrCeLXGhWghpRAXABvsNUPmymOuhjB2\n+46ObJztqA5YSynEBSAP9pohc+VhMiPy0+GY6Za4cMBaSkViAAZEUMidvRqCGcfGhYPXUnokBuDy\n7DVD5spjroZgzIFx4aS1lB6JAbgYe82QufKYqyHY0yErSL9rKRVxAbgAe82QufKYqyEY1q13oX0t\npTAeAWTFXjNkrjzmagjmdYgL7Wsp5dD1EYrEAJyDvWbIXHlY9YAR6jYYIbXZjnLi+ghFYgB6RFDI\nnb0awnQcHheubxdEnLo+QpEYgNPZa4bMlcdcDWFqDowL0u/6CCEuAKex1wyZK4+5GsIEdc4Kqv/1\nEUJcAI5lrxkyVx5zNYTJOjwu9HbWVIjEABzEXjNkrjzmaggTd2Bc6H7W1AHrI4S4AHRmrxkyVx5z\nNQSoY8cjUnHhtsh7x10JoQFoYa8ZMlcelkfCrgOzgqTjgq6POH48QogLQAJBIXf2agiI9BEX/EJK\nOTEuCIkB2GWvGTJXHnM1BDQ6IS5cFxGR6vTdoEPEBUDZa4bMlcdcDQEph2cF2cYFnaPwxcvsPoEO\nBuAk9pohc+UxV0NAu6Pigoi8KPLd9G7Qp8YFRWjABNlrhsyVx1wNAV0cGxdSu0GrY86aqiMuYFLs\nNUPmymOuhoCOjs0KUtsNWno5a6qOxIApsNcMmSuPuRoCDnVyYojiwqlnTUWIC7DNXjNkrjzmagg4\nTk9xobezpupIDDDJXjNkrjzmagg42glZQTqcNSV9JQYhNMAQe82QufKYqyHgRCfHhZazpqTHDgYh\nLsAEe82QufKwhTNQc1pWkKazpuQc6yM8EgPGi6CQO3s1BPTo5MTQvpyyt/URiriAMbLXDJkrj7ka\nAvp1claQ9HLKntdHeCQGjIi9ZshceczVEHAm/SWGs6+PCBEakDl7zZC58pirIeB8+sgKcuH1ER6J\nAXmy1wyZK4+5GgLOrb+4cLn1ER5xAbmx1wyZK4+5GgIuoKesIJdfH+GRGJAJe82QufKYqyHgYvqL\nC3Lh9REecQGDs9cMmSuPuRoCLuwMcUEutj4iRGjAIOw1Q+bKY66GgEH0Ghekw/oIITHABnvNkLny\nmKshYCh9ZwXZtz5CztrBICQGXIS9ZshceczVEDCs88SFaH2EJCY8nguJAedjrxkyVx5zNQTk4Axx\nIVwf0TjhMYwLPS+RUMQFnIO9ZmiU5XHOrdfroigavzTGEgGjcIa4IOkJj0rjwlmWSIQIDeiLvWbo\nmaEv4GDL5XLoSwAmqqp+dIas8HuRX4jI7oRH2caFm9slEs+L3DvfkIQvF7csuPIAABG2SURBVIkB\niIwpKCyXy9VqNfRVAJOm7eh5uhY0MdTjgv9wdlNEzhoXhMQA1IwpKOhYQ1mWm81m6GsBJu08XQsq\nigvXRdzuEolLxAUhMQBb4xtKKctyPp8zRwHIwdnigtK48DR9hMR5N2CIkBjQhb1maEw9CgByc86R\nCAmmL9SPkAh7FyToYDjL+ghFHwOmyWBQcK6+79sextIfcGHnHIlQ2vbXZzDIbmJ4/QLrI4TEgIkx\nGBRo9YHL803mmRNDfQZDuAHDty6wPiJEYsAUGAwKqR4FAgRwAefvXZDduCDBERL19RFCYgBOZDAo\nEAiAYZ154oJX34Dh2ab1EXKxDgbZLTWhATZcG/oCANh0wWZSE8P7Iv8mUol8LlJt/1M3t+MRr1/q\nkkREnHtw/rQEnJ21VRz21qUAY3fZxrL7ERJnXB/RiA6GibDXDJkrT3rJg7GSAuNy8c/W7UdIPBG5\nJfK7iw1JhEgMthEUcmevhgAzBuqHbzxCIpz5ePZTrVNIDCbZa4bMlcdcDQHGZBAXNCtU6VOtB0Bo\nMMNeM2SuPAw9ANkbbopfuD6iap3BMBgSw9gRFHJnr4YAw4brXXh5O0ehcQbDRY+QaERcGC97zZC5\n8pirIcC24XoXdNVD4wwGb7AlEh6JYXTsNUPmymOuhgDzMthsIHWEhHpymSMk2pEYxsJeM2SuPMxR\nAMYpp7gQbcDgl0gMPyShCA05Iyjkzl4NAdORQVaQpiMk6oaf86hIDBmy1wyZK4+5GgImJY+soOpH\nSEhuSyQ8EkM+7DVD5spjroaAacomMfglEn/etye0GmzaoyIxDM5eM2SuPOZqCJisbLKCBEdIyL4V\nlbdF3rv01SUQGgZhrxkyVx4mMwKG5JQVvJYVlTrtMaMhCUViuCSCQu7s1RAAyTExNK6ozOIIiRYk\nhguw1wyZK4+5GgKg8ssKsruiUtWPkBASw6TYa4bMlcdcDQHwsswKEqyo1DkKKrXJY15IDL2z1wyZ\nK4+5GgIQyjUreC+KfDe9yWMYFwZeH1FHaOiFvWbIXHnM1RCAuuzjQmqTR6VxYfhtoRsRF05krxky\nVx5WPQDTkH1WkNomjxLEhXBb6ByHJITEcCyCQu7s1RCAlDFkBdV+RqXkHBeExHAge82QufKYqyEA\nLcaTFWR3PMJtt4UewRIJj8TQhb1myFx5zNUQgC7Gkxg0Ljzdbgvd2MeQdQeDIjSk2GuGzJXHXA0B\n6Gg8WUH5baFHuUTCIzFE7DVD5spjroYAHGRscUG6LZHI6AiJRsQFz14zZK485moIwKFGmBWkwxKJ\n3GcwKBKDvWbIXHnM1RCAI4wzK6j6EonwCAkZxQwGb4K5wV4zZK487KMAQETGnRWkdopEakhiHHFB\nppQYCAq5s1dDAE5hIi7oHAWXiAtCYsiKvWbIXHnM1RCAE408Kyg9QkLSuzb5DoZ810dErCYGe82Q\nufKYqyEApzORFdQ3W1dUPsn2CIkWxhKDvWbIXHnM1RCAXhjKCpJeURkeISHjGpIQK4nBXjNkrjzm\naghAX2xlBamtqGycyj2yOY9q1InBXjNkrjzmaghAj8xlBeU7GJ7dHiEho14i4Y0xMdhrhsyVx1wN\nAeid3bjw8vYIidQmj0JiODd7zZC58pirIQBnYjQu+CMkxNISiVDmocFeM2SuPOZqCMD5GM0KnsEl\nEqE8E4O9ZshcediZEcAhrGcF6bZEYpTjEV5WiYGgkDt7NQTg3CaQFaTDEokRz2BQmcQFe82QufKY\nqyEAFzCNrKDqSyRSMxjGatjEYK8ZMlceczUE4DKmlBVkd4lE4wyGKC6MctqjDBEa7DVD5spjroYA\nXMzEsoIESyTqMxiUH4+4LfLeABfYn4slBnvNkLnymKshAJc0vaygvtm6olKnPY5+SEKdOzHYa4bM\nlcdcDQG4sKlmBdW4otKvjxAzcUHOlhjsNUPmymOuhgBc3rSzguyuqFSVmU0e6/pNDPaaIXPlMVdD\nAAYx+awgwXiEzlFQ1pZIRE4PDfaaIXPlMVdDAIZCVgi8KPLd9CaPYVwY6/qI0ClxwV4zZK485moI\nwIDICrtSmzyqT2ysjwgdkRjsNUPmymOuhgAMi6xQ07JEwq+PkMkOSdhrhsZdnrIsi6IIH7FXQwCG\nRVBIi5ZIROsjZJozGOw1QyMuj0aEsizDB+3VEIB8EBqaREskUkMSduKCSoUGe83QWMujp0TOZjOC\nAoBLIiskaFzQOQqudZNH44nBXjN0bcCf7ZyLmnkdSnDORQMKdVVVzWaz810bAOAQvxf5hcj7IhuR\nT0Q+FflcpApGIm6K3BR5XuSeyOvbB283v9ioOPdA/xv6Qs7lmaF+8HK5rD84n89FZDabbTYbe6EM\ngAFV9SPDTUIfPhL5SEQSmzyKyE0REblnb4nE9o3xvwa+jr4NEBSWy+Vqtao/rr0IPhw455Zb0dP2\n9jcAwPmQFbrRPobUisqb2xGKeyJickjCjAE+tZdbm81mvV77Vt85F845KIpis9m0XB6TGQEMiKxw\niMYVlWaXSFz+bOuzGqBHQbsEyrLUgYboS6e/vs5zPAjZAgDOSXsXpNbBEPUxyHZIwkJcMGOwOQqn\ni/oSPFp9ABfAAMRRwvGIxiUSxIXsjDgoAMCwyArH8h0MeoSE1DZ59HFBtonBwhESI5VXUEh1Ehwk\nNfRATwOA3pEVTpNaIhHGBRF5XeSWyG/pYxhEXkFhs9mEfz5upwQCAQCMTbREIlpR+S2RarsHA0MS\nlzbkhkuR9Xot2/0Vwv8DQM6MTXEflN+1Sfdr8tMXwl2boi2bcHYZ9SgURbFYLFarle6ysFgsjlsE\nwdADgAtjAKJXYe+CiHxD5FmRKxFJz2DAGeW460D9TMju2EcBwCAICmfzTZGXRW6J/Ll2qrXKbgMG\nY51M1ppVggKAoZAVzum2yOeJGQzqk3zWRxAUstay25KxkgLIE3HhzFJ7QqsnIrdEfjdsH4OxoJDR\nHIW+EAgAwK76DIZwPELXR7BrU58M9igYKxGA0aFT4YLCFZWaFarEkMTl0KMAAEAmog0YnhUR9oTu\nl7XP38xRAJADOhWG4NdH/K42JKE+EZELJAZ6FHJHIACASfp9sOqhfU/oe/kskcifwR4FYyUCMGp0\nLQwqtSe0enKmIyToUQAAYBSiGQzRikqOkOjE2udvehQA5IZOhTxEKyrrE9p6Wx9Bj0LuOOsBAFCj\nvQuyu0SCIyT2s/b5mx4FABmiUyE/ZzxCgh4FAADGzi+RSB0hEW3AMN31EdY+f9OjACBPdCrkrcsR\nEl3XR9CjAACAMV2OkHh+mjMYrH3+pkcBQLboVBiP+hESkbYZDPQo5I5VDwCA09SPkLjafmlyR0hY\n+/xNjwKAnNGpMELh+ojGGQxh78JtkY+N9ShYa1YJCgByRlAYLb8+QtInTj3VoPDo0fN37iRPKBwd\na80qQQFAzggKJjSeOPXlH159tfrnfyYo5IqgACBzZAUr6nHBh4Pq3/9d/uqvjGQFg5MZAQA4v/qJ\nU1945RU7KUHoUQCAy6NTwRyNCzpH4bf/+q+3794lKOSKoAAgfwQFuwyuejA49MA+CgCAgRg8D8Jg\nUCAQAMicfuKkXwGjcG3oCwAAAPkiKAAAgCSCAgAMw9iUN1hFUAAAAEkEBQAAkERQAIDBMPqA/BEU\nAABAEkEBAAAkERQAAECSwaDgEoa+LgBowDQFZI4tnAEAQJLBHgUAANAXggIAAEgiKADAwJimgJwR\nFAAAQBJBAQAAJBEUAABAEkEBAAAkERQAYHjMZ0S2CAoAACBplEGhLMuyLIe+CgAA7BvfFs7+1IbZ\nbEZcAADgrEbWo7BcLmezWVVVVVVtNhuCAgAAZzVMUHDORW18WZZFUTjniqJo+caiKJbLpT5f/3qu\nSwQAAIMMPWhLH5nP5yIym802m41zLnUCpCaD5XK5Wq0Wi8UZrxIALquqfuTcg6GvAohdNChoA19/\nXJt/Hw6cc8ut6Gna6yAi6/Wa7gQAAM7tokFBm/ayLDebTfj4ZrOZzWb+r7PZbLVa1YOCbHsjUv0N\nAACgX5cOCkVRlGWpAw3Rl7q8gk5N8AsfGvsV/Fe7I3kAANBoZMsjuyxzoNUHAKAvI1seCQAALimX\nHoUed0RIDT3Q0wAAwKFyCQrh9MZobuOhCAQAAPQli6GH9Xot2xUN4f8BYFKq6kf639AXAnwpix6F\noigWi8VqtdJdFhaLxSl7JDD0AABAX5J7IA5CN3I+5RVadnUEgLFgi8ZRM9YnlMXQg8dmiwAAZCWL\noYd+MfQAAEBfDAYFAgEAAH3Ja+gBACDmBrkxagQFAACQZHDogTkKAAD0xWBQIBAAANAXhh4AAEAS\nQQEAACQRFAAAQJLBOQpMZgQAoC8GgwKBAACAvjD0AAAAkggKAAAgiaAAAACSCAoAkCOOe0AmDE5m\nZNUDAAB9MRgUCAQAAPSFoQcAAJBEUAAAAEkEBQAAkERQ+EJqCiS64x6eiBt4Ou7hyf7n0BdggLV7\nSFAAAABJBAUAAJBkcHkk+ygAANAXg0GBQAAAQF8YegAAAEkEhd6cON369Nnag1/AiQzcgbHfw8Hv\nwNhv4Omv0McdGHzK/YkXcPr1D34B1hAUAABAEkEBAAAkERQAAEASQQEAACQ5Y4sJB58MBQCYOGsN\nq7HyAACAHjH0AAAAkggKAAAgiaAAAACSJhEUlsul21WWpX6pLMuiKJxzRVGkvss/ebLqN+GI+1aW\npT5e/xbzorvhb4UX3hNuYMTfkKIootvIm7CLxhvIm/Ag4T0MH5/Km7CagNlsJiKzwHq91i/pTdAn\nhHcj/BYR8c+foMViUb8Dh943fRH/+Gw2u1wBhla/gev1OnpDLhYL/RI3MBLdkPCe8CbsInUDeRN2\nV7+H/ksTeRNOIiik6kOrKnya/lPRf0LRP5sLXGdu9D0d/XaujrpvYRU0Jg+TUjdQH68/nxtYF/3j\n9X/lTdhR6gbyJuwouiFhwafzJpxE++frpv6xOPwn5Ksz+ic0ours13q9XiwWUSKuDr9v0T+bKvgX\nZVvqBvo7Fr2puIERLXj03pPtInXehHu13EDehB1F9zD863TehJOYoyAim83GOTefz51zy+XSP944\nShQNKY1pJKlXRVEsl8vwdoVfqj/Yft/qY3unXd0ItNxAEfFvSH9nuIGRoiiqqoruj++n4U24V/sN\nFN6EHfh7WJblcrmcz+cS3IeJvAmfGfoCzs5Xg6a55XK5Wq2Komhp/jebTePrTDYxdJS6bxe/kNzp\njVosFvrbR9+QZVlyA1vov1z9Q8vTuIcp0Q3kTXgojQiym7Qa2buH9nsUNA9qJPSTftt/1/iZKdHr\nnOX6DOG+daRvyOVyqV0Os9lMf7NwAxvpLPHVaqXdvO1P5h7WNd5A3oSHqraDiavVamotiP2g0Mgn\nvlGnvAEddN9G/S/kAvbenynfwLIs9ZPcer2uLzPr/jqTvYctNzDEmzClLEt/3zRUSfDem8ib0H5Q\n0MWs0YM+8YV9RJvNRh9vHEMabx2fw0H3TR+P/mlN9n7qx7vwE0n4ayh6pkz+Bs7nc/0cXC8vb8Iu\nGm8gb8LufNJqNJU34eXmTQ7ELxfWSafhFPRwDmq0tEGChRIyntWu51CfOH3EfQtv+9SWm6Zmnusj\negP9zGduYChcdB4t9+dN2EXLDeRN2FHYglS7N2E6b8JxXOWJtKq8cDlKOC0lfDz6lstfcz7q7Vx1\n1H0LH5/UWtPGGxjejTCGcgNDjWO90TJ03oQt2m8gb8KOotmLJ7YgY7yHEzpmuqWfJ7WiYUxdQ0M4\n9L5xPyPcwNNxD0/EDeyoxxZkdPdwQkEBAAAcyv5kRgAAcDSCAgAASCIoAACAJIICAABIIigAAIAk\nggIAAEgiKAAAgCSCAgAASCIoAACAJIICAABIIigAAIAkggIAAEgiKAAAgCSCAgAASCIoAACAJIIC\nAABIIigAAIAkggIAAEgiKAAAgCSCAgAASCIoAACAJIICAABIIigAAIAkggIAAEgiKAAAgCSCAgAA\nSCIoAACAJIICAABIIigAAIAkggIAAEj6/44/OOWTGG5rAAAAAElFTkSuQmCC\n",
"text/plain": [
"<IPython.core.display.Image object>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"canvas7 = ROOT.TCanvas()\n",
"final_histo.Draw(\"e\")\n",
"canvas7.SetLogy()\n",
"canvas7.Draw()\n",
"\n",
"final_histo.SetName(\"bkg_total_gg\")\n",
"fout = ROOT.TFile.Open(\"bkg8TeV_interpolated.root\", \"RECREATE\")\n",
"final_histo.Write()\n",
"fout.Close()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Relative stat error"
]
},
{
"cell_type": "code",
"execution_count": 101,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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3w59//vmkAniCyZiMedC5etdkuOhTVmYsL3lda7EsczsjgMNZ+Squ63rSod62bexBjoMV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\nAAAsEhQAgEWCAgCwSFAAABYJCgDAov8F3MF/5NcoTq0AAAAASUVORK5CYII=\n",
"text/plain": [
"<IPython.core.display.Image object>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"final_histo_relstat = get_historelerrors(final_histo)\n",
"canvas8 = ROOT.TCanvas()\n",
"final_histo_relstat.Draw(\"histo\")\n",
"canvas8.Draw()"
]
}
],
"metadata": {
"hide_input": false,
"kernelspec": {
"display_name": "Python 2",
"language": "python",
"name": "python2"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 2
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython2",
"version": "2.7.5"
}
},
"nbformat": 4,
"nbformat_minor": 0
}
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