Extragalactic medium.ipynb
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Impact of the parameters: Extragalactic medium\n",
"\n",
"Analytic expressions and simple case.ipynb has shown that time delay and halo\n",
"extension of the cascades are related together but also with external \n",
"parameters such as extra galactic magnetic field or source jet opening angle. \n",
"In a realistic case source photons are not distinguishable from cascade \n",
"photons. Moreover as shown in Target_spectrum_and_absorption.ipynb for sources \n",
"further than $z=0.1$, TeV band is fully absorbed. Considering the two previous \n",
"considerations, in this part is studied the dependency of the mean arrival \n",
"angle and the mean time delay in the GeV band versus the different\n",
"parameters. \n",
"\n",
"Here is studied a more realistic case:\n",
"* z=0.1\n",
"* source spectrum is generated assuming a powerlaw spectrum (between Emin=1MeV and Emax=100TeV)\n",
"* EGMF (turbulent magnetic field): 1E-15 Gauss, L_B= 1 Mpc\n",
"* EBL model: Dominguez\n",
"\n",
"This part aims to draw characteristic quantities (average arrival angle and time delay) versus EGMF and redshift\n",
"\n",
"Because for redshift upper than 1 there is no TeV photons, we will use the GeV band\n",
"\n",
"#### Cas mono-รฉnergรฉtique\n",
"\n",
"* plus simple ร comprendre et interprรฉter\n",
"* z=0.1\n",
"\n",
"### EBL model "
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": false,
"scrolled": false
},
"outputs": [
{
"data": {
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+M5fHZ5b3NdmK+IS9aWxxfdeqWcP9guJOAqAqmJncPbRJi2QUAAAosWRtbeC2zQcU1/cq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\neeTIEcA5yDmvup06dSrX7flRv379PNOzD1Au6PXq3Lkz69a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Nm0a9evXc8h84cIATJ07Q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\n1fYAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fc0014ec0d0>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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r2B8E/ALYAFwO3Ao8AUymMJE6v9g06+43pdLTFqc69rULyZ0H6D3vPAYCV5ZN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\ncrRPS5YscfR8UrhPPvmEmjVrsmjRIiIi/vuWdebMGTZs2EB0dHSefQr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iAAAO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\nkTCgxF5EREREJAz8Pxx2BnJ38FPuAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fc0014e6c50>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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Jch4Gd18DfBn48rirDkdT6QZ0rpldCXzF3W9v9lgJ1b6zu65O1mfN7GbgYCrz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"text/plain": [
"<matplotlib.figure.Figure at 0x7fc0003c0150>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"%matplotlib inline\n",
"import src.distribution\n",
"simus = [\"Dominguez\",\"Finke\",\"Franceschini\",\"Gilmore\",\"Kneiske 'best fit'\",\"Kneiske 'lower limit'\"]\n",
"colors = ['k','b','r','g','c','m','y']\n",
"src.distribution.drawSpectrum(simus,colors=colors,yrange=[1e-4,2e-1],Erange=[1e0,1e3],save='Spectrum_vs_EBL.eps')\n",
"src.distribution.drawArrivalAngle(simus,colors=colors,yrange=[1e-5,2e-2],save='dNdtheta_vs_EBL.eps')\n",
"src.distribution.drawTiming(simus,colors=colors,yrange=[1e-5,2e-2])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"On the other hand the extragalactic light (EBL) can affect the absorption of the gamma-rays. Figure \n",
"shows the spectrum Acomputed for a source emitting isotropically with a spectral index of 2 at a \n",
"redshift z=2 using 6 different EBL models \\citep{franceschini_extragalactic_2008,\n",
"dominguez_extragalactic_2010, finke_modeling_2010, kneiske_lower-limit_2010,\n",
"gilmore_semi-analytic_2011}. Differences only appear at energy up-to 1TeV and are due to the \n",
"probability of gamma-rays absorption. Then the model chosen will impact the cut-off energy\n",
"with respect to the results shown in Target_spectrum_and_absorption.ipynb.\n",
"\n",
"\n",
"### EGMF"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": false,
"scrolled": false
},
"outputs": [
{
"data": {
"image/png": 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LFy7EZZddhltvvdXy+sciKysLo0ePRnZ2dlT7nTp1Co8//jiGDBmC7t27o0eP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\nRAEAAADAOiQKAAAAANb5/xx0H8WQ7ttYAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fe29c13bf90>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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plyS5+42SvtldD8hcVfKCZUG9w6PmYVHvsKh3WNQ7vFHVPG3H/mlJ9wxY597u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"text/plain": [
"<matplotlib.figure.Figure at 0x7fe29c108bd0>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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mPq1Wi1arxczMzMQfu+w6DP8K/D7w39z9c5WnCqjKHgb1JDSQehhG1rRaVZGi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\nNOUPls/5fc4Omc2fzm/6s1lubi4Q+Qb98OHDtG3bts7yuXPnMnfuXCD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"text/plain": [
"<matplotlib.figure.Figure at 0x7fe27c264050>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"%matplotlib inline\n",
"import src.distribution\n",
"simus = [\"EGMF=1e-13G\",\"EGMF=1e-15G\",\"EGMF=1e-17G\",\"EGMF=1e-20G\"]\n",
"colors = ['b','k','g','r','c','m','y']\n",
"src.distribution.drawSpectrum(simus,plot=\"1month\",colors=colors,yrange=[1e-3,2e-1])\n",
"src.distribution.drawArrivalAngle(simus,colors=colors,yrange=[1e-5,2e-2])\n",
"src.distribution.drawTiming(simus,colors=colors,yrange=[1e-7,2e-2])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The spectrum generated by the cascade depends also on the extragalactic medium. The extragalactic \n",
"magnetic field (either amplitude or coherence length) has no impact on the spectrum integrated over\n",
"the full-sky and with an infinite integration time. If a limited aperture is applied, then part of \n",
"the photons too much deflected are not taken into account. This deflection is directly\n",
"related to the EGMF. For the same reason, applying a finite exposure time, corresponding to a finite \n",
"time of activity of the source, will alter the spectrum shape depending on the EGMF strength. This has been shown in \n",
"\\cite{taylor_extragalactic_2011}. Figure shows the\n",
"spectrum integrated over the full sky and a time range of 10 years. Impact of the EGMF can\n",
"be seen on the 10 GeV - 10 TeV region of the spectrum. "
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": false,
"scrolled": true
},
"outputs": [
{
"data": {
"image/png": 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p8M9/6n12UX6O/5lJmybx/ZnvAbip2U0svHMhd7S9o9rWl5GRgfv+/YSfPl2s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\n7bjQux7K3tgAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fc00334ef10>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"%matplotlib inline\n",
"from matplotlib.pyplot import figure, show, setp, savefig\n",
"from matplotlib import gridspec\n",
"from mpl_toolkits.mplot3d import Axes3D\n",
"from numpy import log10, loadtxt\n",
"from src.analytic import Ee, Delta, pi\n",
"from src.read import path_to_fig_dir\n",
"\n",
"import matplotlib as mpl\n",
"label_size = 20\n",
"mpl.rcParams['xtick.labelsize'] = label_size \n",
"mpl.rcParams['ytick.labelsize'] = label_size \n",
"mpl.rcParams['ps.fonttype'] = 42\n",
"\n",
"#fig = figure(figsize=(12,9))\n",
"#ax = fig.add_subplot(111,projection='3d') \n",
"\n",
"fig1 = figure(figsize=(12,12))\n",
"gs1 = gridspec.GridSpec(2, 1, height_ratios=[1,1]) \n",
"fig1.subplots_adjust(hspace=0.001)\n",
"ax11 = fig1.add_subplot(gs1[0])\n",
"ax12 = fig1.add_subplot(gs1[1],sharex=ax11)\n",
"\n",
"#fig2 = figure(figsize=(12,12))\n",
"#gs2 = gridspec.GridSpec(2, 1, height_ratios=[1,1]) \n",
"#fig2.subplots_adjust(hspace=0.001)\n",
"#ax21 = fig2.add_subplot(gs2[0])\n",
"#ax22 = fig2.add_subplot(gs2[1],sharex=ax11)\n",
"\n",
"theta_mean = loadtxt(\"Results/theta_mean_vs_EGMF.dat\")\n",
"dt_mean = loadtxt(\"Results/delay_mean_vs_EGMF.dat\")\n",
"#theta_mean1 = loadtxt(\"Results/theta_mean_vs_EGMF-gen=1.dat\")\n",
"#dt_mean1 = loadtxt(\"Results/delay_mean_vs_EGMF-gen=1.dat\")\n",
"#theta_mean2 = loadtxt(\"Results/theta_mean_vs_EGMF-gen=2.dat\")\n",
"#dt_mean2 = loadtxt(\"Results/delay_mean_vs_EGMF-gen=2.dat\")\n",
"\n",
"Redshifts = theta_mean[1:,0]\n",
"B = theta_mean[0,1:]\n",
"\n",
"i=1\n",
"marks = ['D','*','o','^','v']\n",
"for z in Redshifts:\n",
" #p=ax.plot(log10(theta_mean[i,1:]),log10(dt_mean[i,1:]),log10(B),\":*\",label=\"z=%1.2f\"%z)\n",
" \n",
" p=ax11.plot(B,theta_mean[i,1:],'-',marker=marks[i-1],markersize=10,linewidth=2)\n",
" ax12.plot(B,dt_mean[i,1:],'-',marker=marks[i-1],markersize=10,color=p[0].get_color(),linewidth=2,label=\"z=%1.2f\"%z)\n",
" \n",
" #ax21.plot(B,Delta(Ee(1000,float(z)),B,1,float(z)),linestyle='-',color=p[0].get_color()) \n",
" #ax21.plot(B,theta_mean1[i,1:],'--*',color=p[0].get_color())\n",
" #ax21.plot(B,theta_mean2[i,1:],':.',color=p[0].get_color())\n",
" #ax22.plot(B,dt_mean1[i,1:] ,'--*',color=p[0].get_color(),label=\"z=%1.2f\"%z)\n",
" #ax22.plot(B,dt_mean2[i,1:] ,':.',color=p[0].get_color())\n",
" \n",
" i+=1\n",
"\n",
"#ax11.axhline(y=0.5,color=\"k\",linestyle=\"--\",linewidth=2)\n",
"#ax12.axhline(y=5,color=\"k\",linestyle=\"--\",linewidth=2)\n",
" \n",
"#ax.legend(loc=\"best\",fontsize=\"xx-large\")\n",
"#ax.set_xlabel(\"$\\\\theta$ [deg]\",fontsize=\"xx-large\")\n",
"#ax.set_ylabel(\"Time delay [yrs]\",fontsize=\"xx-large\")\n",
"#ax.set_zlabel(\" log B [Gauss]\",fontsize=\"xx-large\")\n",
"\n",
"ax11.set_xscale('log') \n",
"ax11.set_yscale('log')\n",
"ax11.set_ylim([5e-7,20])\n",
"ax11.grid(b=True,which='major')\n",
"#ax11.legend(loc=\"best\")\n",
"ax11.set_xlabel(\"B [Gauss]\",fontsize=\"x-large\")\n",
"ax11.set_ylabel(\"$\\\\theta_{avg}$ [deg.]\",fontsize=\"xx-large\")\n",
"xticklabels = ax11.get_xticklabels()\n",
"setp(xticklabels, visible=False)\n",
"\n",
"ax12.set_xscale('log') \n",
"ax12.set_yscale('log')\n",
"ax12.set_ylim([5e-6,5e9])\n",
"ax12.grid(b=True,which='major')\n",
"ax12.legend(loc=\"best\",fontsize=\"xx-large\")\n",
"ax12.set_xlabel(\"B [Gauss]\",fontsize=\"x-large\")\n",
"ax12.set_ylabel(\"$\\\\Delta t_{avg}$ [yrs]\",fontsize=\"xx-large\")\n",
"\n",
"#ax21.set_xscale('log') \n",
"#ax21.set_yscale('log')\n",
"#ax21.set_ylim([0.8e-4,20])\n",
"#ax21.grid(b=True,which='major')\n",
"#ax21.legend(loc=\"best\")\n",
"#ax21.set_xlabel(\"B [Gauss]\",fontsize=\"x-large\")\n",
"#ax21.set_ylabel(\"average arrival angle [degre]\",fontsize=\"xx-large\")\n",
"#xticklabels = ax21.get_xticklabels()\n",
"#setp(xticklabels, visible=False)\n",
"\n",
"#ax22.set_xscale('log') \n",
"#ax22.set_yscale('log')\n",
"#ax22.set_ylim([1,0.8e9])\n",
"#ax22.grid(b=True,which='major')\n",
"#ax22.legend(loc=\"best\",fontsize=\"xx-large\")\n",
"#ax22.set_xlabel(\"B [Gauss]\",fontsize=\"x-large\")\n",
"#ax22.set_ylabel(\"average time delay [yrs]\",fontsize=\"xx-large\")\n",
"\n",
"savefig(path_to_fig_dir+\"mean_Dt_theta_vs_EGMF.eps\",bbox_inches='tight') \n",
"\n",
"show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Figures show, respectively, the mean arrival angle and the mean time delay in \n",
"the GeV band versus extragalactic magnetic field amplitude for a source at \n",
"different redshifts. For magnetic field stronger than $10^{-14}$G, whatever is \n",
"the redshift, mean time delay and arrival angle is constant because leptons are \n",
"trapped in a region closed to there production site. Thus all the photons seems \n",
"arriving under the same angle and the time delay is isotropized. This \n",
"isotropization appends because Larmor radius is really smaller than the \n",
"coherence length of the magnetic field (EGMF).\n",
"\n",
"\n",
"For soft magnetic field ($B \\ll 10^{-12}$G), both, time delay and halo show a \n",
"dependency on the magnetic field amplitude as predicted by equations \n",
"$$\n",
"\\theta = \\arcsin \\left( \\frac{\\lambda_{\\gamma \\gamma}}{D_s} \\sin\\delta \\right)\n",
"$$\n",
"and \n",
"$$\n",
"c \\Delta t = \\lambda_{\\gamma\\gamma} (1- \\cos \\delta) - D_s (1- \\cos \\theta)\n",
"$$ \n",
"The stronger the magnetic field, the \n",
"more deflected the leptons and thus the arrival angle. Mean size \n",
"of the halo and time delay is also affected by the redshift of the source. The \n",
"further the source, the lower the halo extension and the time delay between \n",
"photons. Indeed the size of the halo is corresponding to a virtual source of \n",
"size $\\lambda_{\\gamma\\gamma}$. The further this virtual source, the smaller the \n",
"observed angular size. Moreover previous equation shows that \n",
"time delay is directly related to the arrival angle. This equation point out \n",
"that if distance to the source (i.e. redshift) grows then time delay will be \n",
"reduced as highlighted in time delay panel. \n",
"\n",
"Finally, it appears that measure amplitude of the extragalactic magnetic field \n",
"through halos requires to select the sources. If the EMGF is too weak \n",
"($<10^{-16}$G), halo effect can be observed only on close sources. Far sources \n",
"will appear as point sources. On the other hand, intermediate magnetic field \n",
"amplitude ($10^{-16} \\textrm{G}<\\textrm{B}<10^{-14}$G) can study on further \n",
"sources. At the opposite, time delay study requires weak magnetic field\n",
"and far sources (z$>0.5$), otherwise average time delay is upper than ten years."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Impact of the coherence length $\\lambda_B$"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": false,
"scrolled": false
},
"outputs": [
{
"data": {
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+iTo1rqOgUyaTiVOZuSEuLg6DBw/G1q1bta6KIqtXr0ZDQwOmT59u27ZgwQIc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\nSUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fae580586d0>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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MTgPOAH4I/JO73zLpuhcAnwUOBT7q7p/KaKyFpoy9dNTt3WSSa3ao8fI/xXln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\ngA8A7wI+B9wIvBr4OPBrM2ua2f6pRis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JJ544cdnSpUvZY489OOyww1LdPq/9Jnvsscdw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\noHOKsxRv50XCOPYNstZWAAd9k4hI+HLrxnWHx6Dr0aMH4C3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ZGbfffrv/htzk5OQW91VE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\nTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fae58058210>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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gM7ARuNnMru/er1WkRaQWQhsLMaZJFRERqZugBoOZ3R/4JvAeshmRfglc0f26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\nrkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fae574907d0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"%matplotlib inline\n",
"import src.distribution\n",
"simus = [\"lambda_B=0.00001Mpc\",\"lambda_B=0.001Mpc\",\"lambda_B=0.01Mpc\",\"lambda_B=1Mpc\",\"lambda_B=100Mpc\"]\n",
"colors = ['b','r','g','k','c','m','y']\n",
"src.distribution.drawSpectrum(simus,plot=\"1month\",colors=colors,yrange=[1e-5,1e-1])\n",
"src.distribution.drawArrivalAngle(simus,colors=colors,yrange=[1e-5,2e-2])\n",
"src.distribution.drawTiming(simus,colors=colors,yrange=[1e-7,2e-2])"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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FHHXUUVxzzTVMmTJl4339/f309/dz6aWXctppp414nfvvv5+TTz6ZK6+8cuPB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\nPQAAAFAAFPYAAABAAfx/EyC9m0j9GqEAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f902645dfd0>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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qnpNfcTP2RwPHjFhK9dtmAe8e4/bGIpI65QXDUr3DU83DUr3DUr3DUr3Dy3rG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\nxBtDieYZ+4uITqJ1nLuPOmjXzOYDpwGnufvZaY2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Xs9fVe+mlZS/pybOepJIDdJXF4iyA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\nAAXAxB4AAAAogP8PnZgMar45KncAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f9026b32dd0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"%matplotlib inline\n",
"import src.distribution\n",
"colors = ['k','r','g','k','c','m','y']\n",
"src.distribution.drawArrivalAngle([\"lambda_B=0.00001Mpc\"],colors=colors,plot=\"generation\",yrange=[1e-5,2e-2])\n",
"src.distribution.drawArrivalAngle([\"lambda_B=1Mpc\"],colors=colors,plot=\"generation\",yrange=[1e-5,2e-2])"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {
"collapsed": false,
"scrolled": false
},
"outputs": [
{
"data": {
"image/png": 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f7svr32/jxu4kitddd51GyTpP/MPc/Vep75iDBDXxn5b0GkmvcfcdVog1sw9K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\nTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fb9e9f06a90>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"%matplotlib inline\n",
"import modules.distribution\n",
"colors = ['b','r','g','k','c','m','y']\n",
"simus = [\"lambda_B=0.01Mpc-mono\",\"lambda_B=1Mpc-mono\",\"lambda_B=100Mpc-mono\"]\n",
"simus = [\"lambda_B=0.01Mpc-mono\",\"lambda_B=0.01Mpc-old\"]\n",
"modules.distribution.drawArrivalAngle(simus,colors=colors,yrange=[1e0,2e3],plot='generation')"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": false,
"scrolled": false
},
"outputs": [
{
"data": {
"image/png": 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RFCQCaWzalOg0ONi6VQcD776rewqg/KxCt9/uWapQTmEOn+z6hKQtSaw+sBpV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lYniYGMMfCTc4xBVlwWPRb2YOSokcG+JCGEEEIIUQ8FeoyB9BgYQKHY0WcHI24bEexLEUIIIYQQ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\nSUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fc000030350>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"%matplotlib inline\n",
"from matplotlib.pyplot import figure, show, setp, savefig\n",
"from matplotlib import gridspec\n",
"from mpl_toolkits.mplot3d import Axes3D\n",
"from numpy import log10, loadtxt, arange\n",
"from src.analytic import Ee, Delta, Dic, RL, yr\n",
"from src.read import path_to_fig_dir\n",
"\n",
"import matplotlib as mpl\n",
"label_size = 20\n",
"mpl.rcParams['xtick.labelsize'] = label_size \n",
"mpl.rcParams['ytick.labelsize'] = label_size \n",
"mpl.rcParams['ps.fonttype'] = 42\n",
"\n",
"#fig = figure(figsize=(12,9))\n",
"#ax = fig.add_subplot(111,projection='3d') \n",
"\n",
"fig1 = figure(figsize=(12,12))\n",
"gs = gridspec.GridSpec(2, 1, height_ratios=[1,1]) \n",
"fig1.subplots_adjust(hspace=0)\n",
"ax1 = fig1.add_subplot(gs[0])\n",
"ax2 = fig1.add_subplot(gs[1],sharex=ax1)\n",
"\n",
"theta_mean = loadtxt(\"Results/theta_mean_vs_LB.dat\")\n",
"dt_mean = loadtxt(\"Results/delay_mean_vs_LB.dat\")\n",
"\n",
"Redshifts = theta_mean[1:,0]\n",
"LB = theta_mean[0,1:]\n",
"\n",
"i=1\n",
"marks = ['D','*','o','^','v']\n",
"nLB = 5000\n",
"LBmin = 1e-4\n",
"LBmax = 1e4\n",
"L = LBmin*(LBmax/LBmin)**(arange(nLB)/(nLB-1.))\n",
"for z in Redshifts:\n",
" #p=ax.plot(theta_mean[i,1:],log10(dt_mean[i,1:]),log10(LB),\":*\",label=\"z=%1.2f\"%z)\n",
" p=ax1.plot(LB,theta_mean[i,1:],'-',marker=marks[i-1],markersize=10,linewidth=2)\n",
" #ax1.plot(L,Delta(Ee(1000,float(z)),1e-15,L,float(z)),linestyle='-',color=p[0].get_color())\n",
" #ax1.axvline(x=Dic(Ee(1000,float(z)),float(z)),ymin=0.,ymax=10.,color=p[0].get_color(),linestyle='--')\n",
" ax2.plot(LB,dt_mean[i,1:],'-',marker=marks[i-1],markersize=10,color=p[0].get_color(),linewidth=2,label=\"z=%1.2f\"%z)\n",
" i+=1\n",
"\n",
"#ax.legend(loc=\"best\",fontsize=\"xx-large\")\n",
"#ax.set_xlabel(\"$\\\\theta$ [deg]\",fontsize=\"x-large\")\n",
"#ax.set_ylabel(\"Time delay [yrs]\",fontsize=\"x-large\")\n",
"#ax.set_zlabel(\" log $\\\\lambda_B$ [Mpc]\",fontsize=\"x-large\")\n",
"\n",
"ax1.set_xscale('log') \n",
"ax1.set_yscale('log')\n",
"ax1.set_ylim([5e-4,10])\n",
"ax1.grid(b=True,which='major')\n",
"#ax1.legend(loc=\"best\")\n",
"ax1.set_xlabel(\"$\\\\lambda_B$ [Mpc]\",fontsize=\"xx-large\")\n",
"ax1.set_ylabel(\"$\\\\theta_{avg}$ [deg.]\",fontsize=\"xx-large\")\n",
"xticklabels = ax1.get_xticklabels()\n",
"setp(xticklabels, visible=False)\n",
"\n",
"ax2.set_xscale('log') \n",
"ax2.set_yscale('log')\n",
"ax2.set_ylim([1e3,5e7])\n",
"ax2.grid(b=True,which='major')\n",
"ax2.legend(loc=\"best\",fontsize=\"xx-large\")\n",
"ax2.set_xlabel(\"$\\\\lambda_B$ [Mpc]\",fontsize=\"xx-large\")\n",
"ax2.set_ylabel(\"$\\\\Delta t_{avg}$ [yrs]\",fontsize=\"xx-large\")\n",
"\n",
"savefig(path_to_fig_dir+\"mean_Dt_theta_vs_LB.eps\",bbox_inches='tight') \n",
"\n",
"show()"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"0.14 \t0.001 Mpc:\t453332.807238 yr,\t0.2644290851 deg.\n",
"0.14 \t0.0001 Mpc:\t25493.352816 yr,\t0.0789632921372 deg.\n",
"0.14 \t0.00001 Mpc:\t5462.34762181 yr,\t0.0288115800585 deg.\n",
"0.4 \t0.001 Mpc:\t1475941.33172 yr,\t0.132015394722 deg.\n",
"0.4 \t0.0001 Mpc:\t132500.99531 yr,\t0.0813706342669 deg.\n",
"0.4 \t0.00001 Mpc:\t461463.518486 yr,\t0.163037647745 deg.\n"
]
}
],
"source": [
"from src.read import select_events\n",
"from src.constants import yr, degre\n",
"from numpy import average\n",
"\n",
"for zi in [\"0.14\",\"0.4\"]:\n",
" for LBi in [\"0.001\",\"0.0001\",\"0.00001\"]:\n",
" fileId=\"Simulations/z=\"+zi+\"/lambda_B=\"+LBi+\"Mpc\"\n",
" weight, energy, time, theta, phi, Esource, generation = select_events(fileId,Erange=[1,1e3],powerlaw_index=1.2)\n",
" print zi, \"\\t\", LBi, \"Mpc:\\t\", average(time,weights=weight)/yr, \"yr,\\t\", average(theta,weights=weight)/degre, \"deg.\""
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": false,
"scrolled": false
},
"outputs": [
{
"data": {
"image/png": 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n+D3MKX4Pc4oRSxOdUxxJT/EFkloifUMAQJzyet2OAFFSVeV2BEgl3tO5dgwq\nqypzO4S44a2ocDsEIGSR9BTPtNY2Tl5I0UVPMRAe2gYAAAASiWv3KQYAAAAAINGRFAOYFNFY9ABA\nZGh/gDtoe0BiCmtOsbWWJBoAAAAAkDRCTnKNMR83xmSFUf4sY0xOZGHBDTU1NfrKV74ScHzDhg06\n8cQTlZeXp7KyMp100km65557Qqpz+fLl8gZZvOeJJ57QrFmz1N8ffEHz+vp6lZeXh/cBYqS5uVmf\n/OQnlZeXp/nz5+vhhx8es/yGDRu0ePFi5eXl6cgjj9QLL7wQUCYvL0/5+fnKz89XWlqacnNz/fvj\n1R/pOZ5srDwNuIf2B7iDtgckpnB6fp+UNC2M8o9JmhVeOBjp5Zdf1ooVK3TyySfrvvvu009/+lN9\n97vf1YIFC1RXVxe197n99tv1X//1X2pqahp2/Hvf+57WrFmj6667Tg0NDWpoaNC9996rP/3pT+ru\n7h633lWrVunnP/95wPGHHnpIl112mdLSgv8n+NRTT+mcc84J+lyszslovvSlLyk7O1uNjY36xS9+\noS9+8Yt64403gpb93e9+p+uvv14PPvig2tvb9fzzz2vBggUB5drb29XW1qa2tjZVVFToySef9O9f\ncsklY8YT6TkGAvh8bkeAKOGrRCz5HJ/bIcSNWl+t2yHEDV8t5wIJxFob0iapX9JDkn4cwvYTSd2S\nFoRa/2RtAx8x0GjH49FFF11kf/7znw879qMf/cj29PRE9X0eeOABu2rVKv/+/v377dSpU+2vfvWr\nMV+3a9cu+6lPfcqWlJTYyspK+/3vf9//XEdHhy0sLLTPPfec/1hzc7PNzs62r7322qh1fvKTn7SP\nP/74qM/H6pyM1N7ebrOysuw777zjP/bZz37WXn/99UHLn3zyyfb+++8P6z3mz59v//CHPwQcH+08\nR3qORxOttvHss89GpR7EUAJdFzE26Vm3Q0AKkY9rx6A7dIfbIcQN8TsAMXT492vEOWM4c4qfkzQ3\nxLJG0p8kdYZRP0bx3HPP6a677pIk/eIXv9Cll16qj370o8rIGPvr27p1q37yk5+M+vxJJ52klStX\n+vftiNvw/N///Z+6urqGlRmpv79f5513nj75yU/qkUce0Y4dO/TRj35UixYt0llnnaWcnBx95jOf\n0fr163XaaadJkn75y19q8eLFWrJkSdA6e3p69Pzzz+uhhx4a9X0jPScT9fbbbysjI0NHHnmk/9ix\nxx6rzZtB/iAkAAAgAElEQVQ3B5Tt6+vTyy+/rJUrV2rhwoXq7OzUJz7xCX3nO99RdnZ2WO873nkO\n9xwDAAAAGBByBmGt9UxiHBjF66+/rszMTD366KN6+eWXNWPGDEkKOgR3pAULFujWW28N+b2MGX5r\nr3379qm4uHjY8NtTTjlF//jHP9TV1aVNmzYpKytL+/bt04033ihJqqys1BVXXKENGzborLPOkiRV\nVVXp3HPP1d13362srCytX79eVVVVo8bx3HPP6dhjj9XUqVODPj+RczLUli1btHbtWr3xxhs69thj\ndeWVV+qMM87Q66+/rkceeUR33313wGva29tVUFAw7FhBQYHa2toCyjY0NKinp0ePPfaYXnjhBWVk\nZGjlypW6+eabdfPNN4cV60svvTTmeQ73HMcC86oAN3ncDgBISUu11O0QAESAyYZj8Pl8MsYEbL5R\nJmuNLD9auXA8++yzuuCCC3T11Vfrhhtu0Ec+8hFJAwtRRdvInuIZM2Zo3759wxZq2rJli1paWjRj\nxgxZa1VXV6f6+noVFRX5t1tvvVWNjY3+15x66qkqLi7W448/rnfffVcvvfSS/vVf/3XUOJ566imt\nWLFi1OejdU42bNigO+64Q/X19fryl7+s+++/X+973/t0yy236Kqrrgr6mry8PLW2tg471traqvz8\n/ICyOTkD68ytXr1aZWVlmjFjhq699lo99dRTYcUpadzzHO45BgAAADBgcseaxgmfzyePxxN2z5XP\n5wsrsQ23fCgcx/EvtDRnzhzNmzdPTU1NeuWVVzR79uwxXxvu8OmRPcUnn3yypkyZol//+tf61Kc+\nFbSOefPmqbKyUm+//faYsVx++eVav3693nzzTS1fvlwlJSWjln366af1+OOPj/r8RM7JUHfeeaf/\nM69YsWLMRHzQUUcdpd7eXv3zn//0D6F+9dVXdcwxxwSULSoq0ty5oc44GFso5zmccxwLjuPQWwy4\nxhG9xUDs1ahGHtoeEDOO40Tn/uATmZCcCJsSeKGt/v5+W1xcbHfv3j3s+E033TQpC0r97Gc/G7bQ\nlrXW3nbbbbasrMw++uijtrW11fb19dlXXnnFFhUV2c2bN9u+vj77wQ9+0H7729+2HR0dtre31/7t\nb3+zL7300rB6tm3bZjMzM+3cuXPto48+OmoMW7dutQsWLBj1+bHOSW9vbwSfOnwXX3yxveSSS+zB\ngwftCy+8YAsLC+0bb7wRtOxNN91kjz/+eNvY2Gibm5vthz70IXvTTTeNWX+whbZCOc+hnuPxRKtt\nsNBWAvJ63Y4AUVJV9azbISCFeJ/1uh1C3Pjvqv92O4S44d261e0QkEI0wYW2GD4dp1577TXdcMMN\n6uzs1MaNG3Xffffpzjvv1DnnnKOenh69+OKLuuyyy3TLLbdIkp5//vkJvd9dd92l+++/X47jqLq6\n2j9E+Ktf/apuv/123XbbbZo5c6Zmzpypq6++WrfddptOPvlkpaWl6cknn1RNTY0WLFigkpISXXXV\nVQFDjCsqKnTqqaeqo6ND559//qhxbNy4cdQe2/HOSXp6uvr7+/Xggw9q8+bN2rRp04TOyWh++MMf\n6tChQyotLdWll16qe++9V4sXL5YkffzjH9e3vvUtf9mvf/3rOv7443XUUUfp6KOP1rJly7R27dqw\n3zOU8xzqOY4VeokTEPfxSRoPPOBxOwSkEJ/H53YIceOSB8a+jWIq8VVWuh0CEDJjR8wjTTbGGBvs\nMxpjAubQJpItW7bolFNO0TPPPKPs7GydeOKJmjJlitthTdiKFSu0evVqLV++PKLX33333crNzdXC\nhQu1aNEi14cQJ6JEbxsAAABILYd/v5rxSwZHT3GCOuWUUyQNLLD06quvJkVCLCmiud9Dvfnmm7rw\nwgv1oQ99SLm5udELDGGLyvwOABGh/QHuoO0BiSmqSbExZqYx5sjDj48wxqRHs34ESk9PD7rIU6L6\n6le/GvY9fIe6+OKL9eSTT2rTpk3as2dPFCMDAAAAkIyiOnzaGPMlSW9IspJekvQpa+1DUXuDyGJK\nyuHTg37/+99r2bJlKioqcjsUJIlkaRsAAABIDfE2fDrLWvuspKnW2oOSWqJcP0bo6OggIQYQHSy0\nlTT4KhFLPsfndghxo9ZX63YIccNXy7lA4oh2T/HHJd0o6U1JGyW931r7X1F7g8hiSuqeYiDaotU2\nuE9xAjJG4rqYFIxxZK3H7TCQIky1kfVy7ZCkdWad1tg1bocRF4zjyPI7ADEy0Z7ijAjecLukxyW9\nLulBa22XMWa6pEPW2qeMMW9IWilphqR1kQYGAAAAAMBkCzsplvR3a+2XRxzrlLTKGJMh6X5r7Z0T\nDw1AIqOXGHCTx+0AgJS0VEvdDgFABCKZU/wXSTLGTDXGTJEka22HtfYeSTWStkYxPgAAAAAAJk0k\nSXHv4b85kq43xjxljPmyMWaqtfZ5Sf8veuEBSFTcqxFwk+N2AEBKqlGN2yEAiEDEq09ba/dZa6s1\nsML0fRoYQi2JqwEAJCSv1+0IECVVVW5HgFTiPZ1rx6CyqjK3Q4gb3ooKt0MAQhb26tPGGEdStaQ/\nWWu7jTHXW2u/NeT5tdbaW6IbZuRYfRoID20DAAAAiSTmq09LOlbS05KsMWaLpG5jzCZr7SuRBuEW\nYyI+bwAAAACAJBDJ8Ok7JU2XdIGkv0mqkPSyMWaXMeZ+SSdFMb5JY61lY2MbZYsG5hQD7qH9Ae6g\n7QGJKZKe4u9aazskPXV4kzFmrqSzDm9nRC+80Rljpkr6oaQuSY619r9j8b4AAAAAgOQR9pzicSs0\n5hZr7dqoVhr8fT4rqdlau9EYs8Fae/Eo5Wy0PyMAAAAAID5MdE5xxKtPj+HXkb7QGHO/MabBGPO3\nEceXG2PeNMa8Y4y57vDhOZJ2HH7cF+l7AgAO8/ncjgBRwleJWPI5PrdDiBu1vlq3Q4gbvlrOBRJH\n1JNia+1LE3j5zyQtH3rAGJMu6a7Dx4+WdIkxZrGknZLKDxebjOQewAQwryoBVVe7HQGipLracTsE\npJDqzVw7Bj1R/YTbIcSN6ro6t0MAQhZXyaS19nkN3Pd4qBMk/dNau81a2yNpg6SVkn4l6QJjzA8l\n/W9sIwUAAAAAJINIFtqKtaHDpKWBHuITDy/29flQKli1apXmz58vSZo2bZqWLl0qj8cj6b3eLPbZ\nZz+6+x6PJ67iYT+E/YGD8RMP+xPYp/2xz74b+0u1NK7icXW/pkaKp3jYT6r9mpoa7d+/X5K0bds2\nTVTUF9qaKGPMfEm/sdYuObx/gaTl1torD+9fpoGkeHWI9bHQFgCEwhiJ62VS4KtELJlqI+vlPzhJ\ncowjj/W4HUZcMI4jeziJASZbPC60FW279N7cYR1+vNOlWACEaPBf9QC4wXE7ACAl1ajG7RAARCAR\nkuL/J2mhMWa+MSZL0kUKcw6xz+fjBzoAjMfrdTsCRElVldsRIJV4T+faMaisqsztEOKGt6LC7RCQ\nAhzHkS8Kt1yIq+HTxpiHJZ0uaYakRkk3WWt/Zow5R9I6SemS7rPW3hpGnQyfBgAAAIAkNdHh03GV\nFE8GkmIAAAAASF6pMKcYQAJiygLgHtof4A7aHpCYUiIpZk4xAAAAACSXpJxTPBkYPg0AAAAAyYvh\n0wCA6IjCv7QiPvBVIpZ8js/tEOJGra/W7RDihq+Wc4HEQU8xgEnhOI48Ho/bYSAcxkhcL5OCMY6s\n9bgdBlKEqTayXq4dkrTOrNMau8btMOKCcRxZfgcgRugpDgFzigEAAAAguTCnOET0FANAiOgpThp8\nlYgleorf4xhHHkZpSKKnGLFFTzEAAAAAABEiKQYwKZiyALjJcTsAICXVqMbtEABEgKQYADDA63U7\nAkRJVZXbESCVeE/n2jGorKrM7RDihreiwu0QgJClxJxir9crj8fDSrgAAAAAkCQcx5HjOKqurp7Q\nnOKUSIqT/TNOpv7+frW2tgYcT0tLU0FBQdDyBw8e9O8bY/x/p06dGrR8Z2dn0PLZ2dkB5a216u7u\nDlo+MzMzaPm+vr6A8pKUnp4eUB4AAABAYpnoQlsZ0QwGyWfnzp36wAc+EHC8vLxcf/vb3wKO79ix\nQ8ccc4ykgYR00Lx58/TGG28ELb948eKg5d96662A8nV1dVq0aFHQ8v/85z+Dlj/yyCMDyldUVGjr\n1q0B5bdt26bKysqA4/PmzVNdXV3Q8kcccUTA8dHqr6ur08KFC4OWf+edd4KWf9/73uffH0zq582b\npzfffDNo+fe///1By7/++usB5bdv364lS5YElB/t+92+fbuWLl0atHxNzfB5VI7j6IgjjtCyZcsC\n6ikvL9fLL78ccHzHjh064YQTAo7PnTtXL730UtDyJ5988rBjxhiVl5dry5YtAeV37twpj8cjY8yw\nbc6cOfrDH/4QUL6+vl7nnHOOv97Bbfbs2XryyScDyu/evVsXXHBBQPlZs2bpl7/8ZUD5PXv26LLL\nLguIp6ysTA8++GBA+cbGRl155ZUB9ZeWluree+8NKL937179x3/8R0D9JSUluv322wPK79u3T9df\nf/2wf2wyxqi4uFi33HJLQPnm5mbdeuutSktLU1pamowxSktL0/Tp03XttdcGlD9w4IB+/OMf+8sN\nboWFhaoKMt63vb1djz32WED5vLw8nXvuuQHlOzo65DhOQDw5OTk65ZRTAsp3dXXpb3/7W0D9U6ZM\n0VFHHRVQvq+vT01NTUpPTx+2ZWRkKCsrK6C8m7hPOOAO2h6QmEiKMaZ58+Zp//79IZevqKhQW1tb\nWOU7OjpCLj9//nx1dXWFVb63tzes8sFGFow22qCiomJYz/V45efNm6f29vaQ4ykvL1dzc/OYdY4s\nv2fPnoDyQ3vIh5o7d662b98ecvk5c+b4//EhlPKzZ8/W3//+94DjaWnBlzOYNWuW/vrXv4ZV/s9/\n/rN/31ora+2oowDKysr09NNP+8sNbhkZwS+FxcXFWr9+fUD5YKMSJKmoqEjf/e53A8pPmTIlaPnC\nwkJdd911AeWDjZKQpLy8PH3+858PKJ+TkxO0fE5Ojs4777yA8sFGbUjSlClTdOKJJ0rSsPJ5eXlB\ny6elpamkpETWWvX396u/v3/M89nX16fGxkZ/ucHXTJs2LWj5Q4cO6Y9//GNA+RkzZgRNiltbW/WD\nH/wgIJ7S0tKgSXFTU5OuvvrqYfX39fVp9uzZeuaZZwLK79y5U8cdd5z6+vqGbeXl5Xr77bcDytfV\n1WnJkiUBSfT8+fOD/qPNrl27dN555wWUnzNnjh5++OGA8o2NjbrmmmuGlc3MzFRZWZk+9rGPBZTf\nv3+/7r33XmVkZCgzM1MZGRnKyMhQUVGRPvOZzwQ9/1u2bPGXHfybm5vr/8fJoQZHCg2WTU9PH/Xa\nAABAPGH4NAAAk6C/v19tbW0BSfTgaIORurq69Pe//z2gfFZWVsCICGmgJ33jxo3q6+tTf3+/ent7\n1dPTo9zcXF166aUB5Zubm3Xbbbepp6dHvb29/vJFRUX69re/HVC+vr5el112mb/c4N+ZM2fqt7/9\nbUD52tpafeADH/CX6+vrU0ZGhhYuXBh0pNDOnTv1iU98QllZWZoyZYqysrKUlZWluXPn6p577gko\n39TUpHXr1gWUnzFjhi666KKA8p2dnXrllVf85bOzs5Wdna3c3FxNnz49oDwAIHFNdPg0STEAYIDP\nN7Ah4cXDV2mt9SffwUYzdHZ26u9//7u6u7uHbZmZmTr77LMDyjc1Nenuu+8OKD9t2jR985vfDCi/\nY8cOffrTn1Z3d7e6urrU1dWlzs5OzZ49Wy+++GJA+a1bt+qss87yJ8+D24IFC/TjH/84aDz33HNP\nQPkZM2b4p10M1dvbqwMHDig3N1fZ2dlJ1Yvuc3zyeXxuhxEXan21qvQFTsNKRb7aWvmCTEkDJgNJ\n8ThYfRpwB/OqEpAxUpL/PyFVGOPIWo/bYSSU7u5ubd++XZ2dncO2jIyMoNeyvXv36s477wwoX1xc\nrHXr1gWUf/vtt3XyySero6NDXV1dysnJUW5urpYsWaI//vGPAeV37dql6upq5ebmDttmz56tiy++\nOKB8V1eX9uzZo/z8fOXl5cV0nrupNrJerh2StM6s0xq7xu0w4oJxHFl+B2CSRWv16ZSYU+xz+5/L\nAQBAXMvKyvIvzBiKkpIS3XzzzSGXP+qoo9TU1CRpYH59Z2enOjo6Rl33IicnR8cdd5w6Ojr8W3Nz\n86jrcGzdulXLly9XW1ub2traZIxRXl6ejj/+eG3atCmg/K5du7Ru3Trl5eUpLy/Pn0zPmjVLH/nI\nR0L+XADgpsGOz+rq6gnVkxJJMYDYo5cYcJPH7QAwhvT0dE2dOnXURe8kafr06brqqqtCrnPx4sXD\n7pLQ3d2ttrY29fT0BC2fkZGh0tJStbW1adeuXWpvb1d7e/uoSfFLL72k0047TQUFBSosLPT//eAH\nPyjlB9bf3NysP//5zyosLPRvBQUFys/PH3XxxGSwVEvHLwQg7qTE8Olk/4wAEBUMn04afJWINmut\nDh06pLa2Nh04cECtra06cOCAsrKy9OE/fjhg+PQbb7yha6+91l9u8O/SpUv13HPPBdT/1ltv6Xvf\n+54KCwtVVFTk3+bPn6+TTjopVh9zwhzjyMPUBUkMn0ZscZ9iAHGJOcWAmxzRW4xoMsb45zWXlZUN\nfzJwSrSOPvrooKuUj9ZRUVBQoGXLlmn//v1qaWlRXV2dWlpadMQRRwRNiv/0pz/pmmuuGZZAFxUV\naenSpUFXXx8cpj7aLeOipUY18tD2gIRDUgwAGOD1uh0BoqSqyu0IkEq8p4d+7Rht1e1Zs2bpC1/4\nQsj1HHvssfrpT3+qlpaWYVtfX1/Q8s8884zOP/985eXlqbi4WMXFxZoxY4bOOOMM/ed//mdA+YMH\nD6qtrU3Tp08Pa9Gysqqy8QulCG9FhdshACFj+DQAAACSXn9/v/bv3699+/apqalJTU1NKigo0Ic/\n/OGAshs3btTnP/95NTc3Kycnx59Ef+ITn9DatWsDyu/bt0+7d+9WaWmpZsyYMek90gCGY/h0CHw+\nH7dkAgAASGFpaWmaPn26pk+fPm7ZFStWqKGhQdZaHThwQE1NTdq3b59yc3ODlv/LX/6i6667To2N\njWppadG0adNUWlqqSy+9VF/72tcCyu/bt08tLS0qLS1VQUFBUt23GoilwVsyTRQ9xQAmBXOKAffQ\n/gB3OI6j0047TU1NTWpsbFR2dnbQW3098sgjWrt2rRobG9XV1aXS0lKVlpZq1apVWr16dUD55uZm\ndXZ2qrS0lF5oIAh6igEAAIA4kZ6e7k9yR3PRRRfpoosukiQdOnRIe/fuVWNjowoLC4OW/9WvfqUb\nb7xRTU1Nmj59umbNmqWZM2dq1apVuvjiiwPK9/X1KT09PTofCEgB9BQDAAAACaC3t1d79+7V7t27\ntWfPHpWXl2vJkiUB5W666Sbdfvvtmjlzpj+BnjVrli644AKdfvrpLkQOTK6J9hSTFAMABvh8AxsS\nHl8lYsnn+OTz+NwOIy7U+mpV6at0OwxZa9XW1qY9e/b4E+g9e/bohBNO0MknnxxQ/hvf+IZ+85vf\naM6cOcO20047TZWVkX0eX22tfBG+FggXSfE4SIoBdzCnMQEZI3G9TArGOLLW43YYSBGm2sh6uXZI\n0jqzTmvsGrfDCFtjY6Peffdd7dq1S/X19dq1a5d27dqlz372szr77LMDyj/wwAN66623/Mnz7Nmz\nNWfOHM2cOdM/59k4jiy/AxAjzCkGAAAAELHx5kCPVF5erl27dukf//iHfv/73/uT6O9///u68MIL\nA8pv2bJF3d3dmjdvnubMmaMpU6ZEM3xgwkiKAUwKeokBN3ncDgBISUu11O0QYuLMM8/UmWeeGXJ5\nx3H09NNPa8eOHdq9e7eKiopUXl6ue+65R8cdd1xAeWstt6lCTJEUAwAAAJg0X/va1/z3a+7r61ND\nQ4N27NihI444Imj5D3/4w6qrq1N5efmw7ZJLLlFJSUksQ0eKSImk2OfzyePx0HMFxBBzigE3OaK3\nGIi9GtXIQ9sbU3p6umbPnq3Zs2ePWuYPf/iDdu3apR07dvi3N998U11dXUHL33jjjUpPT1dFRYXm\nz5+viooKlZeXKysra7I+BuKE4zhyHGfC9aRMUgwAGIfX63YEiJKqKrcjQCrxns61Y1BZVZnbIcQN\nb0VFxK/NyspSZWVlyCtfH3300XrzzTe1efNmrV+/Xtu2bVN9fb22bdsWNPneunWrZs2apZycnIhj\nRHwY7Pisrq6eUD2sPg0AAAAgqfT29io9PT3o3ORjjz1Wb731lgoLC1VRUeHfvvnNb9K7nKBYfRoA\nAAAAhhi8NVQwr776qvr7+9XQ0KBt27aprq5O27dvV2ZmZkDZ3t5effrTn/YnzvPnz/f3YhcWFk7m\nR0AM0VMMYFIwpxhwD+0PcAdtL/n09PToN7/5jbZt2+bfamtr1draqrq6uqDl3333XVVUVDA8O4bo\nKQYAAACASZCZmalPfepTIZffs2ePzj//fG3fvl1FRUWqrKzUY489plmzZk1ilJgoeooBAAAAIIr6\n+/tVX1+v2tpanXjiicxVnmQT7SlOi2YwAIAExkr9SYOvErHkc3xuhxA3an21bocQN3y1qX0u0tLS\nNHfuXJ122mkkxAkgoXuKjTErJa2QVCDpPmvt74KUoacYcAHzqhKQMRLXy6RgjCNrPW6HgRRhqo2s\nl2uHJK0z67TGrnE7jLhgHEeW3wGIkZTuKbbWPmGtvUrS1ZIucjseAO+pqalxOwQghdH+ADf8U/90\nOwQAEYi7pNgYc78xpsEY87cRx5cbY940xrxjjLluxMtulHRX7KIEMJ79+/e7HQKQwmh/gBva1e52\nCAAiEHdJsaSfSVo+9IAxJl0DSe9ySUdLusQYs9gM+Lakp621/LP4OBzHcTuEMcU6vsl4v2jVOZF6\nInltOK+J9/+O4lU8nzfaXnTqoe3Fp3g+b8nQ9iRJUZg6Gs9tL9L3SHlxPGIsWdpeNOql7Q2Iu6TY\nWvu8pJYRh0+Q9E9r7TZrbY+kDZJWSrpG0pmSLjTGfCG2kSaeeL+gJ8MFih/m79m2bVvYcSSzeG5/\ntL3o1BMvbW/AtjAjSV60vRi837aJVxHPbS+c8nu0J+xYkhZJ8aS/H0lx9MTlQlvGmPmSfmOtXXJ4\n/0JJZ1trrzy8f5mkE621q0OoK/4+IAAAAAAgalJhoa0JJbbWWjZr5fV6XY8hnuKbjPeLVp0TqSeS\n14bzmlDLVlVVxfT7jPctntsfbS869cRL27OW9het7zTZYpus94tGvfHc9sIpT9uL7n8XyRIbbS/y\n14RafqISJSneJal8yH65pJ0uxZKw4v32OLGObzLeL1p1TqSeSF4bzmvi/b+jeBXP5422F516aHvx\nKZ7PWzK0vWjVG89tL9L3SHXxfM5oe9GpI5naXqIMn86Q9JYG5g/XS3pR0iXW2n+EUJeNx88IJDuf\nzyefz+d2GEBKov0B7qDtAe5IuvsUG2MelrRF0lHGmB3GmM9Za3s1sKjWJklvSHoklIQYgHvi+V+I\nMQp+yCWNbds8boeAFOJzfG6HEDcWbVvkdghxw1cbhWXJgRiJy57iaKKnGHCH4zgkxonGGInrZVIw\nxpG1HrfDQIow1UbWy7VDktaZdVpj17gdRlwwjiPL7wDESNL1FE8Gn88X17dkAAAAAACEx3GcqExZ\noKcYADCAnuKkwVeJWKKn+D2OceRhlIYkeooRW/QUAwAAAAAQIZJiAJOCKQuAmxy3AwBSUo1q3A4B\nQARIigEAA7xetyNAlFRVuR0BUon3dK4dg8qqytwOIW54KyrcDgEIGXOKAQAAAAAJiznFAAAAAABE\niKQYwKRgTjHgHtof4A7aHpCYUiIp5j7FAAAAAJBcuE9xiJhTDAAAAADJiznFAIDoiMK/tCI+8FUi\nlnyOz+0Q4katr9btEOKGr5ZzgcRBTzGASeE4jjwej9thIBzGSFwvk4Ixjqz1uB0GUoSpNrJerh2S\ntM6s0xq7xu0w4oJxHFl+ByBG6CkGAAAAACBCJMUAJgW9xICbPG4HAKSkpVrqdggAIkBSDAAAAABI\nWSTFACYFt0ED3OS4HQCQkmpU43YIACJAUgwAGOD1uh0BoqSqyu0IkEq8p3PtGFRWVeZ2CHHDW1Hh\ndghAyFh9GgAAAACQsFh9GgAAAACACKVEUuzz+ZjfCMQYbQ5wD+0PcAdtD4gtx3Hk8/kmXE/GxEOJ\nf9E4UQAAAACA+OHxeOTxeFRdXT2hephTDAAAAABIWMwpBgBEB6NqkgZfJWLJ5/jcDiFu1Ppq3Q4h\nbvhqORdIHPQUA5gUjuPI4/G4HQbCYYzE9TIpGOPIWo/bYSBFmGoj6+XaIUnrzDqtsWvcDiMuGMeR\n5XcAYoSeYgAAAAAAIkRSDGBS0EsMuMnjdgBASlqqpW6HACACJMUAAAAAgJRFUgxgUnCvRsBNjtsB\nACmpRjVuhwAgAiTFAIABXq/bESBKqqrcjgCpxHs6145BZVVlbocQN7wVFW6HAISM1acBAAAAAAmL\n1acBAAAAAIgQSTGAScGcYsA9tD/AHbQ9IDGRFAMAAAAAUhZzigEAAAAACYs5xQCA6PD53I4AUcJX\niVjyOT63Q4gbtb5at0OIG75azgUSBz3FACaF4zjyeDxuh4FwGCNxvUwKxjiy1uN2GEgRptrIerl2\nSNI6s05r7Bq3w4gLxnFk+R2AGKGnGAAAAACACJEUA5gU9BIDbvK4HQCQkpZqqdshAIhAhtsBxILP\n55PH4+FHegRqa2vV1NQ07JgxZsz9UMqEux+vdcZrXHzW8V8zuI3cD/YcAAAA4o/jOFG5FRpzijEm\nn8+nJ5980r8/8lwGO7fjlQl3P17rjNe44uWzdnd3KzMzc1LjirTOwW3k/sjnhgo3kY7Wc7Gs76+v\nvFRdrCoAACAASURBVKJlH/zghN8rLS1NaWlpwx4n+356enrANtrx0bZwyqeljT3QiznFiCXmFL+H\nOcXvYU4xYsmYic0pTomeYkTO5/PJxzKmiECyLLQVLFkeK5GO5nOxrq/+3nv1o6uuisp79ff3q7+/\nf9hjt/Z7e3sntf6+vr6gW39//6jPTaRsX1+fJI2ZRGdnX6g5cy4dN+HOyMjwb5mZmVF/PJHXZ2Zm\nKisrK2BLT0+f3EaPsHlP97odQtwoqypzO4S44a2ocDsEIGT0FAMAkGDGSsbDSbp7e3vV19ennp4e\n9fb2qre3Ny4e9/b2qru7Wz09Peru7vZvXV1dMsYETZYnc8vOzg7YpkyZEnAsMzOTKRcA4IKJ9hST\nFAMAgITR19c3LFGe7K2zs1NdXV3q6upSZ2dnwDb0eG9vb9BkebQkeryyubm5/i0nJ2fY/tDjU6ZM\nIRkHkNJIisdBUgy4I1mGTwOJiPbnjr6+Pn+SHEoSPdbxQ4cOqbOzUx0dHcO2Q4cOBRzr7e0NSJqD\nJdFjJda5ubnKy8sLuk2dOlUZGcy4CwVtD3AHc4oBAADiQHp6uj/RjKW+vr6AZDlY8jzy2J49e/zH\nDh48qI6ODrW3twfdMjIyRk2ax9qmTp0acCw/P18FBQXKysqK6XkCgNHQUwwAAIBRWWvV1dU1asIc\n7tbW1qbW1lalp6eroKBABQUFKiws9D8eugU7PvLYlClT3D5FAFzG8OlxkBQDQIh8voENCY+vErHk\nc3zyeXxhvcZaq87OTrW2tqq1tVUHDhzwPx66BTs+9NiBAweUlpYWNFmeNm2aioqKNG3atGGPR/7N\nz8+P2pzsWl+tKn2VUakr0flqa+Wr5FwgNkiKx0FSDLiDeVUJyBiJ62VS4D7FiCU371M82IsdLFk+\ncOCAWlpatH///lH/7t+/X4cOHVJhYeGoSfPIv4OPB7fMzEx/PNyn+D3cpxixxJxiAAAApCRjjH/V\n7tLS0ojq6OnpCZpAD31cV1cXkFQPPs7NzdX06dM1Y8YMXabLdMkll2jGjBn+bfC5oY8LCwuVlpYW\n5bMBIFIkxQAmBb3EgJs8bgcAJIzMzEwVFxeruLg47Nf29/ertbVVzc3Nampq0sETDqrk3BI1NTWp\nublZ77zzjpqamvz7g48PHjyooqKioAnz0P3BuEpKSlRcXDysVxpA9JAUAwAAABFIS0vzD6lesGCB\nHDm69NJLx31dT0+PWlpa/EnyyKS5rq5Ozc3N2rdvn/bu3au9e/equblZBQUFKikpCXljETIgNCTF\nACYFc4oBNzmitxiIvRrVyBNC28vMzFRpaWlYQ777+vrU0tLiT5KHblu3btVf/vKXYcf27dun7Ozs\nMZPm0tJSlZSUqKysTGVlZdwmCykroZNiY0ylpLWSCq21n3Y7HgBIaF6v2xEgSqqq3I4AqcR7OteO\nQWVVZZNWd3p6un849eLFi8ctb63VgQMHgibR9fX1evXVV7V37141NjaqoaFBe/fuVV5enj9BLisr\n08yZM4ftDx4rLS0dtxfaW1ERrY8OTLqkWH3aGPM/oyXFrD4NAAAAjK2/v18tLS3as2ePGhoa/Fuw\n/b1792rq1KljJs5D9xnGjcmWdLdkMsbcL2mFpEZr7ZIhx5dLWicpXdJP7f9n787j46rq/4+/TpIu\naWkbWtp0SZoWpGUnbGX124GCVgQrq6BI6ga4INWvX1AQ5wb8Kah8LYp8FQRE1LIpshVBsZdNyx5Z\nWgqFdN9pS+mStmk+vz9utnbSdiaZmTOTeT8fj/PI3JvTmXcS7pBPzj3nmF3f7nMqikVEREREsqCl\ngN5V4dzyeMWKFfTt25ehQ4cybNgwhg8fzrBhwzp8vMcee/j+0iRPdcei+KPAeuD3LUWxc64YmAOc\nDCwGXgTON7PZzZ9XUSySYzSnWMQfXX8ifujaS2RmrF69mmXLlrF06VKWLl3KkiVLtvvY8ri4uLjD\nonnHc/369cO5Ttc/0g11u32KzewZ59yoHU6PA+aa2TwA59zdwCTn3HLgR0C1c+6K9qPHIiIiIiLi\nl3OudZupAw88cKf9zIx169YlFMpLlizhpZde2u6cme1yxHn48OGMGDGC/v37Z/ErlXyWc0XxTowA\nFrY7XgQcbWargUt2948nT57MqFGjACgrK6O6urr1r3hhGALoWMc6TvNxLBbLqTw61nEhHev607GO\ndZyvxwMGDGD58uWMGDGidXurHftPnz6dVatWMXLkSJYuXcrTTz/Nyy+/THFxMUuXLuWdd95h1apV\n9OzZkxEjRtCnTx8GDx7MEUccQUVFBatXr2bw4MFMmjSJwYMH8/TTT+fM16/j5I7r6upYu3YtAPPm\nzaOrcu72aYDmkeKH290+fRYw0cy+0nx8AVFRfGkSz6Xbp0VEkhEEUZO8px+lZFMQBgSxwHeMnFAf\n1DM6GO07Rk4I6usJRvv7XrSsvr1o0SIWL17M4sWLWx+3P7du3TqGDRvGiBEjqKioYMSIEds9rqio\nYPjw4dquKsd1uznF0GFRfAwQmNnE5uPvAU3J3C6toljEjzAMW/+iJ3nCOdD7ZbfgXIhZzHcMKRCu\n1mFxvXcATHVTmWJTfMfICS4MsTz4PaChoYElS5bssnhetmwZZWVl2xXKHRXPul3bn243p3gnXgL2\nbS6WlwCfAc73GUhERERERPJb79692Xvvvdl777132mfbtm2sWLEioWCeMWNG6+NFixZRUlJCRUUF\nlZWVVFZWtj4+7LDDOOyww7L4VUmqcq4ods5NA8YDg5xzC4EfmNkdzrlvAI8Tbcl0W8vK0yKSmzRK\nLOJTzHcAkYJUTbXvCJIBxcXFrQt5HXnkkR32MTPWrFnDokWLWLhwYevHp59+mg8//FBFcY7LuaLY\nzDocATazx4DHshxHRERERERkl5xzDBw4kIEDB3LIIYf4jiMpKvIdIBuCIGhdtUxEskPXnIhPoe8A\nIgWpjjrfEUQKShiGBGlYWTLnRoozIR3fKBGRbi8e951A0qSmxncCKSTx8XrvaFFeU+47Qs6IV1X5\njiAFINa8DWFtbW2XnicnV59OJ60+LSIiIiIi0n11dfXpgrh9WkRERERERKQjKopFJCM0p1jEH11/\nIn7o2hPJTyqKRUREREREpGBpTrGIiIiIiIjkLc0pFhGR9NBK/d2GfpSSTUEY+I6QM+qDet8RckZQ\nr++F5I+CKIq1T7FI9umay0Nd3M5Ackdtbeg7ghSQ2qf03tHiwdoHfUfIGbXz5/uOIAVA+xSnQPsU\ni4iIiIiIdC/p2qe4IEaKRST7YrGY7wgiBSzmO4BIQaqm2ncEEekEFcUiIiIiIiJSsFQUi0hGaE6x\niE+h7wAiBamOOt8RRKQTVBSLiEgkHvedQNKkpsZ3Aikk8fF672hRXlPuO0LOiFdV+Y4gkjTtUywi\nIiIiIiJ5S/sUi4iIiIiIiHSSimIRyQjNKRbxR9efiB+69kTyk4piERERERERKViaUywiIiIiIiJ5\nS3OKkxAEgW5nERHZnSDwnUDSRD9KyaYgDHxHyBn1Qb3vCDkjqNf3QjIvDEOCNPxPTyPFIpIRYRgS\ni8V8x5BUOAd6v+wWnAsxi/mOIQXC1TosrvcOgKluKlNsiu8YOcGFIabfAyRLNFIsIiIiIiIi0kkq\nikUkIzRKLOJTzHcAkYJUTbXvCCLSCSqKRUREREREpGCpKBaRjNDidiI+hb4DiBSkOup8RxCRTlBR\nLCIikXjcdwJJk5oa3wmkkMTH672jRXlNue8IOSNeVeU7gkjStPq0iIiIiIiI5C2tPi0iIiIiIiLS\nSSqKRSQjNKdYxB9dfyJ+6NoTyU8qikVERERERKRgaU6xiIiIiIiI5C3NKRYRkfQIAt8JJE30o5Rs\nCsLAd4ScUR/U+46QM4J6fS8kf2ikWEQyIgxDYrGY7xiSCudA75fdgnMhZjHfMaRAuFqHxfXeATDV\nTWWKTfEdIye4MMT0e4BkiUaKRURERERERDpJRbGIZIRGiUV8ivkOIFKQqqn2HUFEOkFFsYiIiIiI\niBQsFcUikhHaq1HEp9B3AJGCVEed7wgi0gkqikVEJBKP+04gaVJT4zuBFJL4eL13tCivKfcdIWfE\nq6p8RxBJWkGsPh2Px4nFYprjKCIiIiIi0k2EYUgYhtTW1nZp9emCKIq7+9coIiIiIiJSqLQlk4jk\nJM0pFvFH15+IH7r2RPKTimIREREREREpWLp9WkRERERERPKWbp8WEZH0CALfCSRN9KOUbArCwHeE\nnFEf1PuOkDOCen0vJH9opFhEMiIMQ634nm+cA71fdgvOhZjFfMeQAuFqHRbXewfAVDeVKTbFd4yc\n4MIQ0+8BkiUaKRYRERERERHpJBXFIpIRGiUW8SnmO4BIQaqm2ncEEekEFcUiIiIiIiJSsFQUi0hG\naK9GEZ9C3wFEClIddb4jiEgnqCgWEZFIPO47gaRJTY3vBFJI4uP13tGivKbcd4ScEa+q8h1BJGla\nfVpERERERETyVldXny5JZ5hscs71BW4GNgOhmf3JcyQRERERERHJM/l8+/SZwL1mdhHwKd9hRGR7\nmlMs4o+uPxE/dO2J5KecKoqdc7c755Y7517f4fxE59xbzrl3nHNXNJ8eASxsfrwtq0FFRERERESk\nW8ipOcXOuY8C64Hfm9nBzeeKgTnAycBi4EXgfOAIYI2ZPeqcm2Zm5+/kOTWnWEREREREpJvq6pzi\nnBopNrNngDU7nB4HzDWzeWa2FbgbmAT8BTjLOXcz8FB2k4qIdENB4DuBpIl+lJJNQRj4jpAz6oN6\n3xFyRlCv74Xkj5waKQZwzo0CHm43Unw28HEz+0rz8QXA0WZ2aZLPZzU1NYwaNQqAsrIyqquricVi\nQNvcDx3rWMfpPW4/ryoX8ug4iWPnYMaM3Mmj404fOxcyYwY5k0fH3fvY1TpmjJ+RM3l8HtedWMcU\nm5IzeXwen1hXh02ZkjN5dNy9juvq6li7di0A8+bN48477+zSSHE+FMVnARO7UhTn2tcoUgjCMGx9\n85I84Rzo/bJbcC7ELOY7hhQIV+uwuN47AKa6qUyxKb5j5AQXhph+D5As6Va3T+/EYqCy3XElsMhT\nFhFJkgpiEZ9ivgOIFKRqqn1HEJFOyIei+CVgX+fcKOdcT+AzaA6xiIiIiIiIpEFOFcXOuWnAv4Ax\nzrmFzrkvmFkj8A3gcWAWcI+ZzfaZU0R2r2X+h4j4EPoOIFKQ6qjzHUFEOqHEd4D2dratkpk9BjyW\n5TgiIoUlHvedQNKkpsZ3Aikk8fF672hRXlPuO0LOiFdV+Y4gkrScW2gr3bTQloiIiIiISPdVCAtt\ndVkQBLqVU0REREREpBsJw5AgCLr8PBopFpGM0JZMIv7o+hPxQ9eeiB8aKRYRERERERHpJI0Ui4iI\niIiISN7SSLGIiKRHGubkSG7Qj1KyKQgD3xFyRn1Q7ztCzgjq9b2Q/KGRYhHJCM2rykPOgd4vuwXn\nQsxivmNIgXC1DovrvQNgqpvKFJviO0ZOcGGI6fcAyZKujhTn1D7Fknu2bdvGqlWrWo+di/5bKy4u\nZtCgQR32X7NmTUL/oqIi9txzzw77r1u3rsP+/fv3T+jf1NTE+vXrE84XFRWxxx57dNh/06ZNCeed\nc/Tp0yfhvJmxefPmDvv36tWrw/6NjY0d9i8pSby8zIympqbt+rX/GkREREREJLsKoigOgoBYLKZR\nq05YvHgxRx11FBAVdC0qKip45ZVXOux/+OGHJ/SvrKykrq6uw/6HHnpoh/1ff/31hP4LFy7k4IMP\nTjhfWVnJm2++2WH/Aw44IOH8yJEjmT17dsL5BQsWMHbs2A77v/322wnn58+fz7777tth/3fffbfD\n/vvssw+w/ddbVVVFfQe3Gc2bN4/Ro0cnnK+qqmLevHkd9m95fmgruquqqnaap33+9v139vXut99+\nCedHjhzJnDlztjsXi8WYP38+Bx54YIf9Z82alXB+wYIFHf58R44c2eF/DwsWLKC6ujrhfGVlJf/5\nz38Szi9cuLD1v8+Wr9U5R2VlJS+99FJC/0WLFnHccce19mtpFRUVPPPMMwn9Fy9ezIQJE7br65xj\nxIgRPP744wn9lyxZwumnn57w/MOHD+evf/1rQv9ly5ZxzjnnJPQfOnQod999d0L/5cuXc+GFFyb0\nLy8v54477kjoD3DGGWck9B8yZAg333xzQt+VK1cyZcqUDvv/7Gc/S+j//vvvE4/HKSoqoqioCOcc\nRUVFDBo0iCuvvDKh/9q1a7nxxhsT+peVlXHJJZck9F+3bh1/+MMfEvr369ePc889N6H/hg0bmD59\nekL/vn37MmHChIT+DQ0NzJw5s7V/y78pLS3t8L/DrVu3snDhQoqLiykuLqaoqIji4mJ69OjBwIED\nO/jup1Msw88vIh2pJvG9QEQyJwzDtGy9WzBFsXTOyJEjWb58eUr9248sJ9O//cjy7lRVVW03spxM\n/w0bNqTUv6GhIen+o0aNYuvWrSn137ZtW0r9W4rn9kX0zqYEVFVVsWXLll32aW/kyJGtI+/J9K+s\nrGT16tW77de+/7JlyxLOtx8hb6+iooIFCxYk3X/EiBHMnTs36f7Dhw9n1qxZ231PzWyno/RDhw7l\n2Wefbe3X0oqLizvsP2TIEB544IGE/j169Oiw/6BBg7jlllsS+vfs2bPD/mVlZfzoRz9K6N/RXQwA\n/fv359vf/nZC/969e3fYH+DCCy9M6N/RXRUApaWlnHrqqUn379GjB2PHjm29Y6KpqQkzo1+/fh32\nNzO2bdtGY2Pjdv139t/qli1beP311xOef+DAgTstiu+5556E/nvttVeHRfGaNWuIx+Pb9W9qaqK8\nvJwHH3wwof+yZcuYMGEC27Zto6mpiW3btrFt2zZGjBjBq6++mtC/vr6evffeO6GI3nvvvXnttdcS\n+i9cuJATTzwxoX9lZSXwSId5ampqtutbUlLCsGHDuOmmmxL6r169muuuu46SkhJ69OhBSUkJJSUl\nDBo0iIsuuqjD7+ejjz6a0L9fv34cc8wxCf1b/miwY/+ePXvSt2/fhP4iIiI7ahn4rK2t7dLzaE6x\niGSE5hTnIc0p9q6leG5fRJtZh9NJtm7dyrx58xL6l5SUcPDBqxLmFG/cuJGnn356u76NjY307t2b\n0047LeH5165dyy233MLWrVtpbGyksbGRrVu30r9//w5H9pcvX86ll16a0H/w4MFMmzYtof+CBQuI\nxWIJ/SsqKnjjjTcS+s+bN4/jjz+enj17btdGjRrFn//854T+K1as4Lvf/W5C//Lyci677LKE/uvX\nr2f69Omt/Xr16kXPnj3p169fh3cC7O6PaoVEc4rbaE5xG80plmzSnGIREUmPeNx3goLXclt2Mnr0\n6NHh9A2Ampow4VyfPn2YOHFi0lnKysq4/PLLk+5fXl7Ovffem3T/kSNH8t577yXdv6KighdeeIEt\nW7Zs13b2/erduzcnnHBCQv+d3Uny4Ycfct999yX0Ly8v5/7770/oP3fuXMaMGUPPnj3p3bt3axs7\ndixPPPFEQv+lS5dy+eWXb9e3d+/eDBs2jK997WsJ/Tds2MDzzz9Pnz59KC0tpU+fPvTp04e+fftS\nVlaW9PctG+Lj9d7Rorym3HeEnBGvqvIdQSRpGikWERER6YSmpia2bNnC5s2baWhooKGhgaampg7X\ngvjggw948MEHaWho2K5/v379Wufmt7dgwQK+8IUvsHHjxu1aZWUlM2fOTOj/7rvvcu655yYU0fvs\nsw/XXnttQv+1a9fy+OOPb9d/jz32YM8992y+BV9EJH90daRYRbGIiIhIntu0aROzZs1KKKJLS0s5\n88wzE/rPnz+fyy+/vLXfhg0bWovuRx99NKH/W2+9xfnnn88ee+zR2vr168e+++7L9773vYT+H374\nIa+88sp2/ffYYw/69u3b4e4MIiJdkfGi2Dl3FZBqVXmzma3tbKh0UlEs4ofmFIv4o+tP0m3Tpk3M\nnj2b9evXb9f69u3LZz7zmYT+c+bM4aKLLkrov//++3c40j137lyuueYa+vfvz4ABA+jfvz/9+/en\nqqqKU089NaG/me30VnifdO2J+JGNOcXXAouAZJbMdUAFcDeQE0WxiIiIiHRNaWlp65Z2yRg7dixP\nPfVUwvmdDVQMGDCACRMmsG7dOtatW8f7779PfX09K1as6LAofvbZZznllFO2K6D79+/PuHHjuP76\n6xP6r169mldffZU999yTsrIy9txzT/r377/T3QREpLAkM1LcBAwzs6T25XHOfQgcambJr56RQRop\nFhEREelezIyGhgY++OCD1kJ63bp19O7du3V/+fbq6ur41re+xdq1a1m7di1r1qzhww8/5NRTT+Xh\nhx9O6D937lymTZvWWkC3fBw+fHiHc8ZFxK9sjBT/L5D8Rq/wCzRKLCKSf4IgapL39KOUbArCgCAW\nZPU1nXOUlpZSWlrK0KFDd9u/urqaGTNmbHdu27ZtbN68ucP+ZsbmzZuZM2cOa9asaS2mq6ur+dWv\nfpXQf+bMmfzkJz8hNi/G4lMWM2jQIAYOHMj+++/P8ccf37kvMs8F9fUE+gOC5AkttCUiGaF5VXlI\n+xR3G86FCfsUi2SK9imGZcuW8dxzz7Hw7IU0/LiB999/n/fff58DDjiA73znOwn9H3vsMa666ioG\nDRrUWkAPGjSIcePGcfrpp3v4CtJP+xRLNmmf4iQEQUAsFtMv6CIiIiKSdkOHDuWss85iKlP57ne/\nu9v+xx13HLfeemtr8dzSPvzwww77//GPf+Tyyy9n8ODB27VYLMYZZ5yR7i9HJG+EYUgYhl1+npRG\nip1z9wMvm9mPdzj/XeAwM0tcftAzjRSLiCRJI8Xdhn6Ukk0aKW4TupBYBu7S2LJlCytWrGDlypXb\ntY985COcdtppCf1/85vfcPXVVzN48GCGDBnSWkR//OMf51Of+lTa83VEI8WSTdkeKf4o8P86OP8Y\nkLjzvOS9p5+GuXOjX7DS2YqK0v+cudiKihJbcXHb45Z+IiIiIjvTs2dPKioqqKioSKr/l770JSZN\nmpRQRPfp06fD/lOnTuW6665j6NChlJeXt7ZPfOITnHTSSen8UkRyUqpF8QCgo/s6NgF7dj2O5Jp3\n3oFnn41GHNLdmpoy87y51Fq+xm3bosc7NrOdF8/50IqLo1ZSkvh48eKQ0aNj231uZ33T+bmO+paU\nQI8ebR979NAfI6S7C4GY5wwihaeOOmI5cO2VlJQwdOjQpBYhA/j617/Oueeey/Lly7drTU1NHfb/\n+c9/zh133JFQRE+YMCGlrbtEckWqRfF7wMeAuTucPxmoT0siySlf+lLUJDPaF8/51rZt2741Nm7/\neO1aKC2NjrduhYaGxH67O07H5xob29rWrVFrbIwK5pYCuaW1L5p31rrap2fPqPXq1dZSOc7olprx\neAafXLKppsZ3Aikk8fF672hRXlPuO0Kn9OjRg+HDhzN8+PCk+k+ePJkTTzyR5cuXs2zZsu0+tohX\nVbU+vvHGG5k+fTrDhg1j+PDhrR+POuooRo4cmfavRyRVqc4p/jpwHRAHnmg+/XEgAK4ys1+kO2BX\naU6xiOzIbPsiuX2xvOO5VPvs7vNbtkRt8+aotX+czHFR0fZFcrIFdWlp1Hr3bnvcUdvd50tKNMou\nIiKpmTdvHrNnz2bp0qUsXbqUJUuWsHTpUmpqapg0aVJC/7vuuos33nhjuwJ62LBhVFRU0KtXLw9f\ngeS6rs4pTnlLJudcLXA50PJfZANwg5ld3dkQmaSiWES6i5Zb8VMpordsiUbpGxpg06aotX+8s7az\nPma7Lpr79o3aHnskPu7o3I6f79VLRbeISKGbMWMGM2fObC2eWz5ef/31nHvuuQn9n3jiCVavXt1a\nQA8fPpy+fft6SC6+ZL0obn7RvsCBzYezzGx9ZwNkmopiET+0T3H3tHXrrovmDRuitn595x43NkKf\nPolF8x57QP/+qbV+/TJ8u3kO0/Un4oeuPT9+85vf8OSTT7YW0EuWLKFXr17cd999nHLKKQn9FyxY\nQGlpKXvttRdOf4ntFnztU9wEbGx+vK2zLy4iIvmlZW50//6Zef7GxrZCuX2xvH49rFu3fVu0KPFc\n+/bhh1GBvbOiecAA2HPPXbfevTPzdYqISPpcfPHFXHzxxa3HZsbq1aspLS3tsP8PfvADHnroITZu\n3Mjw4cMZMWIEFRUV1NbWMmbMmGzFlhyS6pziXsCPga/Sdvv0ZuDXwHfNbHPaE3aRRopFRApTUxNs\n3AgffNBx0bx2LaxZs+tWVLT7wnnPPWHQINhrLxg8OPrYr59uAxcRyXUbN25k8eLFre2UU05hyJAh\nCf1OPfVUVqxYQUVFBSNGjGgtoj/1qU9RVlbmIbnsKKu3TzvnfgN8Gvg+8K/m08cB1wAPm9lFnQ2S\nKSqKRUSSFARREyCaP71p0+4L5zVr4P33YdWqqK1cGc3nbl8k7/i4o+N0rh2jH6VkUxAGBLHAd4yc\nUB/UMzoY7TtGTgjq6wlGd4/vxdKlS1m4cCGLFy9m0aJFrR+vv/56RowYkdA/Ho9TUlJCRUUFlZWV\nHH/88TsdtZb0yHZR/AHwOTN7ZIfznwSmmVmGbqjrPBXFIn5oXlUeci6qBKXLGhqiQnnlyrZiuaVg\n7ujxqlXRrdpDh27fyssTj4cMiVYV3xXnQsxiWflaRVytw+J67wCY6qYyxab4jpETXBhiBfp7wO9+\n9zveeecdFi1axMKFC5k2bRrl5fm5XVe+yPac4i3AOx2cf7f5cyIiIgWvd28YMSJqyTCLbvNevhyW\nLdu+Pffc9scrV0bzoTsqnCsq2l6zoUFzokVEfJg8ebLvCJKiVIvi24BvO+cuaRl+dc4VAZcBt6c7\nnIjkL40SiyTPOSgri9rYsbvu29QUjULvWDwvXQovvQSLFwPEGDAgWlCspVBu/7H940wtmiZSfwwd\npQAAIABJREFUiKqp9h1BRDoh1aJ4MHA2cIpz7gXAAUcBg4D7nHO3NJ+zXJxfLCIiku+KiqL5yIMH\nw8EHd9zHuWg+9MqV0Srdixe3fQzDtuNFi6K+FRVQVQWjRiV+HDo0ek0REZHuKtWieB/g1ebHQ5s/\nLmhu+zQfO0ATS0QKnOYUi/gUUlQUo7w8ur36iCM67mUWrcS9cCHMnx+1efOgri76OH9+tEp3ZWVU\nJO9YMI8aFY04F+p+0CI7qqOOGDHfMUQkRSkVxaZVO0REuq943HcCSZOamuT6ORfNTx4wAA46qOM+\nmzbBggVtRfL8+fD449HH+vroVu5Ro+AjH2lr++wTfRw1KtrXWrq3+Hi9d7Qor9FiSi3iVVW+I4gk\nLaXVp/ORVp8WERHJnI0bo+J47ty29u670cfFi6Nbs1uK5JaCecyY6OPuVtEWERFJRla2ZHLObSW6\nJXpXL2RmlnP/e1NRLCIi4seWLdEIc/tC+Z13orZwYTSSvN9+ia2szHdyERHJJ9nakqkYmA/c0fyx\n0y/oQxAExGIxzW8UySLNKRbxJ1euv549o1HhMWMSP7d5c1Qcv/VW1P7xD7jppuhxv36JhfKBB0bz\nl11e/QYihSZXrj2RQhGGIWEYdvl5kh0pngRcDJwM/AO4BXjYzLZ1OUGGaaRYxA/9YiDiTz5ff2bR\nbdezZ7cVzLNnwxtvQGNjNPf54IPb2kEHRXOiRXJBPl97IvksK7dPt3uxkcCXgS8QjTLfDvzWzOo7\nGyDTVBSLiIh0D8uXR8Xx66+3tVmzYNCgxGJ5v/00Z1lEpFBktShu96LFwCeB7wDHAXuZ2drOhsgk\nFcUiIkkKgqhJ3iukH2VTE7z3XmKxPH8+7L8/HHYYHH541A45BPr08Z24+wnCgCAW+I6RE+qDekYH\no33HyAlBfT3BaH0vJDt8FcXjgYuAM4EXgY+b2abOhsgkFcUifugWsjzkXHTvquQ950IKfRfFjRvh\ntdfglVfg1Vejj7Nnw+jRbUXyYYdBdbUW9uoqV+uwuN47AKa6qUyxKb5j5AQXhph+D5AsydZCWzjn\nhgCTiW6fHgjcBRxuZrM7++IiIiIimdCnDxxzTNRabNkCb77ZViTfd19UOA8dCkceCUcfHbXDDoPS\nUn/ZRUQku5JdaOvPRLdLP0+0yNb9ZrY5w9nSQiPFIiJJ0khxt6EfZfK2bYM5c+DFF+H556M2ezYc\ncEBUII8bF30cMwaKinynzU0aKW4TupBYgd+l0UIjxZJN2RopPgNYAGwhGi2ucdGeCO1f2MzsY50N\nIiIiIpJtxcVRAXzAAVBTE53btCkaSX7+eXjssWh+9tq1cNRRUYF87LFw3HG67VpEpLtItij+PdDy\nJ8CdVeD6E6GItNKcYhGfQiDmOUP+Ki2F44+PWovly+GFF6JC+YYb4DOfieYnn3BCWxs50l9myQ11\n1BHTtSeSd5Iqis1scoZziIiIb/G47wSSJi0jnpI+5eVw+ulRA9i6Ferq4Nln4c9/hilToHfv7Yvk\ngw4qjFuu4+P13tGivKbcd4ScEa+q8h1BJGmdWn06n2hOsYiIiGSaGbzzTlQkt7SVK6PR5pNOitoh\nhxRGkSwikm0Z35LJOXcq8A8z25JkoI8Bz+TKFk0qikVERMSH5cvh6afhn/+M2qpVEIvBiSdGRfL+\n+0eLoomISNdkoyhuAoaa2YokA30IHGpm73U2VDqpKBbxQ3OKRfzR9ZebFi+GGTOi9s9/Rgt6tRTI\nJ54I++yjIjnf6doT8SNbq0/f4JxLZuTXAb06G0ZERESkuxoxAi64IGoA9fVtRXIQQM+eMHEifPzj\nUaHcv7/XuCIiBSOZkeKQ5FeWds19P2dmS7oWLYkXc240cBUwwMzO2UkfjRSLiIhITjODN9+Exx+P\n2r//DYcfHhXIH/84HHaY5iOLiOxMxm+fzgfOuftUFIuIdFEQRE3ynn6U+W/jRnjqqbYi+f334WMf\nayuShwzxnbBNEAYEscB3jJxQH9QzOhjtO0ZOCOrrCUbreyHZ0S2KYufc7cAngRVmdnC78xOBqUAx\n8Fszu34n/15FsUiO0byqPORcNFwlec+5ELOY7xiSRvPntxXITz4J++3XtkXUwQf7nYvsah0W13sH\nwFQ3lSk2xXeMnODCENPvAZIlXS2Kc+VGnDuAie1POOeKgZuazx8AnO+c298593nn3M+dc8M95BQR\nERHJuqoquOiiaE/kFSvg2muj1a0nTYLRo+HSS+GJJ2DzZt9JRUTyT04UxWb2DLBmh9PjgLlmNs/M\ntgJ3A5PM7C4z+5aZLXHODXTO/Rqods5dke3cIrJzGiUW8SnmO4BkUM+ecMop8ItfwHvvwSOPwPDh\n0S3z5eVw9tlw553RFlCSXdVU+44gIp2Q7OrTPowAFrY7XgQc3b6Dma0GLtndE02ePJlRo0YBUFZW\nRnV1desv7GEYAuhYxzrWsY6jk7mTR8c61nFSxwcdBKtWhRx7LBxwQIzp0+H220O+/nUYNy7GWWdB\neXnIXnvlRt7ufNwiV/J4Pa6rg1zKo+NudVxXV8fatWsBmDdvHl2VE3OKAZxzo4CHW+YUO+fOAiaa\n2Veajy8AjjazS1N8Xs0pFvEgDMPWNy/JE5pT3G1oTrFAtA/yE09Et1w/8gjsvz+cdRaceSY0jxWk\nheYUt9Gc4jaaUyzZlK19itu/4Fhgb6AUWAm8ambrOxtgFxYDle2OK4lGi0VEJBPicd8JJE1qanwn\nkFxQWhrNOZ40CbZsgX/+E+6/H37842iO8llnRW3MmK69Tny83jtalNeU+46QM+JVVb4jiCQtqZHi\n5v2AvwZ8Dhi6w6e3Ac8AvwHu7eywbAcjxSXAHGACsAR4ATjfzGan+LwaKRYRERFp1tgITz8djSA/\n8ADstRecfz6cd160aJeISL7J+OrTzrmfAa8DY4ArgYOAMqA3MBw4Ffg3cB1Q55w7PNUQzrlpwL+A\nMc65hc65L5hZI/AN4HFgFnBPqgWxiIiIiGyvpAROOgl+9StYtAhuugkWLIBx4+DYY+GXv4xWthYR\nKRS7HSluXt35GjNbspt+DjgH6Glmf0hfxK7RSLGIH5pTLOKPrj/pjK1b4R//gGnT4OGH4cgj4bOf\nhTPOgLIy3+nyg649ET8yPlJsZpfsriBu7mdmdm8uFcQtgiBIWBVQRERERNr06AGf+AT8/vewZEm0\nL/LDD0fzj884I7rdWvsgi0guCcOQIAi6/Dw5s/p0pmikWERERKTzPvggmnt8113wn/9Ec49raqKR\nZNfpcRkRkfTJxpzid3Zobze3HY/f7mwIERHJAWn4S6vkBv0oJZ0GDIDJk+HJJ+Hll2Ho0GhhrgMP\nhJ/8BP774cB3xJxRH9T7jpAzgnp9LyR/JDOnOGh32ItoFeq3geeazx1PtAjXr8zsygxk7BKNFIv4\noXlVeUj7FHcb2qdYMs0M/vUv+N3v4LcVjokzjZqaaPun0lLf6fzRPsVttE+xZFM25hQHLQ0YANxi\nZkeZ2ZTmdhTRdkwDOxtCRERERPKHc3D88XDrrdHx5z8Pt98OFRXwjW/Aa6/5zScikordFsU7OA+4\ntYPztzV/TkQEQKPEIl7FfAeQAvPZz8ITT8Crr0b7Hn/yk3DMMVGhvGGD73TZU0217wgi0gmpFsVF\nwNgOzo9JQxYRERERyWMjR0Zz2uvr4fvfhwcfhMpK+OpXo4JZRCQXpVoUTwN+65z7knNu/+b2ZaLR\n47vTH09E8pW2QRPxKfQdQApcSQmcdlpUFL/2GgwfDp/+NBx1FNxyC3z4oe+EmVFHne8IItIJqRbF\n3wL+BNwEvNncbiIqiHN2VQHtUywikoR43HcCSZOaGt8JpJDEx+/6vaOiAq6+Gt57D665Bh57DEaN\ngssugzlzspMxW8pryn1HyBnxqirfEaQAeN2n2DnXF9in+fBdM8vZ2SJafVpEREQktyxcCL/+Nfz2\nt1BdHS3OdeqpUFzsO5mI5KOurj7dqaK4+YUHAWvMrKmzL54NKopFREREclNDA9x3H/zyl7BqFXzt\na/DFL8JA7WkiIinI+JZMO7xYsXPuGufcGmAFMKr5/HXOuYs7G0JEuh9NWRDxR9ef5IvevaPtnF54\nAe6+O5p/vM8+8OUvQ10eTs/VtSeSn1KdU3wFUANcBmxud74OmJymTCIiIiJSYMaNg9//PppnvPfe\n0UJdJ50Ejz4KTTl9X6KI5LuUbp92zr0NXGZmjznnPgQONbP3nHMHAs+YWc7d7KLbp0VERETyz5Yt\ncO+9cMMN0W3W3/52NKrcu7fvZCKSa7J6+zRQCczq4HwjUNrZECIikgPSsHqj5Ab9KCWbgjDIyPP2\n7AkXXACvvAK/+hX89a/RqtW1tbByZUZessvqg3rfEXJGUK/vheSPVIvi+UB1B+cnAG91PY6IdBea\nV5WHamt9J5A0qa0NfUeQAlL7VGbfO5xru416xgxYvBjGjIGLL4a3cuy3zwdrH/QdIWfUzp/vO4JI\n0lItin8F3Oic+xjggDHOua8DPybar1hEREREJCP23x9uuSWadzxsGIwfD5/+NDz/vO9kIpLPUiqK\nzeyXwO+AB4A+wHTgp8BPzey2tKcTkbwVi8V8RxApYDHfAUQyasiQaJpAfT2cfDKcey5MmABPPgk+\nl5Kp7vCGShHJdamOFGNmATAYOBo4FhhiZj9Mcy4RERERkV3q0we+8Q2YOxcuvDB6fMwx0fxjrVgt\nIslKuih2zvV0zi1xzh1oZhvN7EUze97M1mcyYDoEQaD5jSJZpmtOxKfQdwCRrOrRA2pq4M034Yor\n4Ic/hIMPhj/8ARobs5ejjjzcXFkkj4VhSJCG1SWTLorNbAvRPOJtXX7VLAuCQLdyiojsTjzuO4Gk\nSU2N7wRSSOLjc+e9o6gIzjwTXnwRfv5zuO022Hdf+PWvYfPmzL9+eU155l8kT8SrqnxHkAIQi8XS\nUhSnuk/xtcAgM/tal185S7RPsYiIiEjh+te/4NprYdYsuPJK+MIXou2eRKT76Oo+xakWxb8FzgWW\nAC8DG1o+BZiZXdTZIJmiolhEREREZs6Mdp6bNQuuugomT1ZxLNJddLUoTnWhrY8ArwDLgBHAvjs0\nERFAc4pFfNL1J5LomGPgscfg7rvhL3+J9jq+5RbYsiV9r6FrTyQ/laTS2cxiGcohIiIiIpJxxx4L\nf/tbdFt1bS386EfRyHFNjUaORQrVbm+fds4dYWYvJ/VkzvUG9jazWekIlw66fVpEREREdua556Li\n+J13oo+f+xwUF/tOJSKpyMbt0w855x5wzk10znXY3zlX4Zz7HjAXOL6zYURExKM0rN4ouUE/Ssmm\nIAx8R+iS44+HJ56A3/8+up360EOjfY47M6ZSH9SnP2CeCur1vZD8kcxI8R7AFcAlQCnRnOLFQAMw\nCDgQGE20KeIPzOzZDOZNmUaKRfwIw1BboeUb5zr3W6DkHOdCNONJssXVOizePd47zGD69GiV6tJS\n+PGP4cQTk//3U91UptiUzAXMIy4MMf0eIFmS8ZFiM1tvZlcDlcAFRKtOlwLDgA+Am4ADzeykXCuI\nRURERESS5Rx88pPw6qvwzW/CV74CH/sYvPSS72QikklJL7RlZg3AX5ubiMguaZRYxKeY7wAiea2o\nCD77WTjnHLjtNpg0KVqg64c/hP322/m/q6Y6eyFFJG1S3ZJJRERERKQg9OgBl1wSLcI1bhz813/B\nxRfDsmW+k4lIOqkoFpGM0F6NIj6FvgOIdCt9+sDll8OcOdCvHxx0UDRqvHHj9v3qqPMTUES6REWx\niIhE4nHfCSRNamp8J5BCEh9fOO8de+4JP/sZvPACvPEGjBkDv/sdbNsWfb68ptxrvlwSr6ryHUEk\nabtdfTrfafVpEREREcmEmTPhv/8bNmyIiuWTT/adSKQwdXX16bQUxc65KjOb3/x4mJkt7fKTpomK\nYhERERHJFDP4y1/giiuikeOf/CS6vVpEsifjWzIl6SfOuV7Nj7c6585P0/OKSJ7SnGIRf3T9iWSP\nc3DWWTBrFuy9d8hJJ0WLc61c6TuZiCQrXUXx38xsM4CZrQLWp+l5RURERERyXs+ecPbZ0WJcvXrB\nAQfAL34BW7f6TiYiu5Ou26dPAyYDfwQWABPN7P91+YnTQLdPi4iIiEi2vfkmXHYZLF0KN96o+cYi\nmZQTt0+b2SPAVcBRwGeAael43nQJgkC3komI7E4Q+E4gaaIfpWRTEAa+I+SM+qC+9fGBB8Lf/x5t\n3XTRRXDmmVBfv4t/3M0EhfTFijdhGBKk4X96Wn1aRDIiDENisZjvGJIK56IVYyTvORdiFvMdQwqE\nq3VYXO8dAFPdVKbYlITzDQ1www3wv/8LX/0qfO970Levh4BZ5MIQ0+8BkiXeRoqdc/e3e3y2c+58\n51xf59xxzrkTO/u8IiIiIiLdSe/ecNVV8J//RKPF++0H06bp75AiuaIrt0+f1+5xBVAM/A74BnBm\nF55XRLoBjRKL+BTzHUCkIFVTvcvPV1TAH/8Id98dbd100kkwe3aWwonITnW6KDazxnaHjwDvmdk5\nwNeA2q4GExERERHpjo4/Hl58MZpn/F//Fd1OvWGD71QihStdWzKVA98GMLO1zdsyiUgB0+J2Ij6F\nvgOIFKQ66pLuW1ICl14Kr70GCxZEC3M9+GAGw4nITnVlTvEA59w3nHOvA/cDz6cvloiIZF087juB\npElNje8EUkji4/Xe0aK8pjzlfzNsWHRL9e23wxVXwKc+1T1WqY5XVfmOIJK0lFefds6NAy4h2nrp\nZeBG4CEzy8mtybX6tIiIiIjkg82boxWqb7gBvv1t+O//hl69fKcSyX1ZW33aOfcJ59yrwMPAKuBY\n4BXg77laEIuIiIiI5ItevaL5xS+9BDNnwqGHgmYjiWReKrdPXwVcB1Sa2eVm9hrwI+B259zAjKQT\nkbylOcUi/uj6E/EjXdfeqFHw0ENw/fVw4YXw5S/DmjVpeWoR6UAqRfHXzOweM9vScsLMVgDfB/7q\nnBuc9nQiIiIiIgVq0iR44w0oLY0W4rr3Xu1tLJIJKc8p7vBJnDsRuN7MxnU9UnppTrGIiIiI5Lt/\n/xu+8hUYPRpuvhkqK30nEskdWZtTvCtmNgM4Ox3PJSIingSB7wSSJvpRSjYFYeA7Qs6oDzK3bPSx\nx8Irr8DRR8Phh8MvfwnbtmXs5bos6A5LaEvBSMtIcS7TSLGIH2EYEovFfMeQVDin+/K6CedCzGK+\nY0iBcLUOi+u9A2Cqm8oUm5Lx15kzBy66KFqt+tZb4eCDM/6SKXNhiOn3AMmSnBgp9sU5N8k5d4tz\n7m7n3Cm+84iIiIiIZNrYsTBjBnzpSzBhAnz/+1GBLCKdk9dFsZk9aGYX0bZvsojkCI0Si/gU8x1A\npCBVU5211yoqiuYY/+c/MGsWHHEEvPhi1l5epFvJiaLYOXe7c265c+71Hc5PdM695Zx7xzl3xS6e\n4vvATZlNKSIiIiKSW4YNgz//ORotPv30aJ/jhgbfqUTyS04UxcAdwMT2J5xzxUSF7kTgAOB859z+\nzrnPO+d+7pwb7iLXA4+ZWV32Y4vIzmifVBGfQt8BRApSHX5+HXUOzjsvGjV+++1oIa7nn/cSRSQv\nJVUUO+f+4pz7nHNuQCZCmNkzwI5bko8D5prZPDPbCtwNTDKzu8zsW2a2BLgUmACc7Zy7OBPZREQK\nRjzuO4GkSU2N7wRSSOLj9d7Rorym3O/rl8P990cr0E+aBFdc4W/UOF5V5eeFRTohqdWnnXO1wBnA\nWGAG8ADwVzNbnrYgzo0CHjazg5uPzwY+bmZfaT6+ADjazC5N8XmtpqaGUaNGAVBWVkZ1dXXrfMeW\n0Swd61jHOtaxjnWsYx3ruLscr1kD06bFeP11uPTSkAMOyK18OtZxV47r6upYu3YtAPPmzePOO+/s\n0urTKW3J5Jz7CFFxfAZwFPA8UYH8FzPr0mZkHRTFZwET01EUa0smERERESlE990H3/wmXHABXHMN\nlJb6TiSSflndksnM5prZT83sOGAk8EeiOb9vOefqnHPx5uI2HRYDle2OK4FFaXpuEcmwlr/qiUj2\n6foT8SMXr71zzoHXXoMFC+Cww7RCtUhHUiqK2zOzpWb2f2Z2CjAUuAE4FDgnTdleAvZ1zo1yzvUk\n2nLpoTQ9t4iIiIhIQRg8GO65J5prfNppUFsLW7f6TiWSO1K6fTpjIZybBowHBgErgB+Y2R3OuU8A\nU4Fi4DYz+3Ennlu3T4uIiIiIAIsXwxe/CGvWwF13wdixvhOJdF1Wb5/OFDM738yGm1kvM6s0szua\nzz9mZmPN7COdKYhFRCQFQeA7gaSJfpSSTUEY+I6QM+qDLi2xkxUjRsDf/gaTJ8MJJ8BNN0FTU/pf\nJ6jP/e+FSIucKIozLQiCnJzjIdKd6ZrLQ7W1vhNImtTWhr4jSAGpfUrvHS0erH3Qd4SkOAdf+xo8\n91w0WjxxYjSCnE618+en9wlFOhCGIUEa/hJcMEVxyxLeIiIiIiICY8ZEhfFHPxotwjVtmu9EIqmJ\nxWIqikUkd+kPUSI+xXwHEClI1VT7jpCykhK4+mp47LFoy6bzzoPVq32nEsmulIti59xY59wnnHNn\nOuc+6pzbIxPBREREREQkO444Al55BYYOhepq0CwoKSRJFcXOudHOuZ8655YAs4FHgfuBp4A1zrl/\nOuc+45zr9IpfItK9aE6xiE+h7wAiBamOOt8RuqS0FKZOhVtugc9+Fq66Sls3SWHYbVHsnPsZ8Dow\nBrgSOAgoA3oDw4FTgX8D1wF1zrnDM5ZWREQyJx73nUDSpKbGdwIpJPHxeu9oUV5T7jtCWkycCK++\nGrUTToB33039OeJVVekPJpIhu92n2Dn3a+AaM1uym34OOAfoaWZ/SF/ErtE+xSIiIiIiqTODX/4S\nrr0WbrgBPv/5aOVqkVzT1X2Kd1sU5zsVxSIiIiIinffaa3D++XDoofB//wcDBvhOJLK9rhbFnV59\n2jk3yDmXF6tXa59ikezTNSfij64/ET+667V3yCHw4otQVhYtwvWvf/lOJBLxsk+xc67YOXeNc24N\nsAIY1Xz+OufcxV1OkyHap1hEREREpPP69IGbb4Ybb4Qzz4y2b2ps9J1KCl269ilO6fZp59yVwMXA\n1cCvgYPM7D3n3HnAZWZ2bJcTpZlunxYRERERSZ8lS+DCC2HLFvjTn6CiwnciKXTZvn16MnCJmf0e\n2Nbu/OvA2M6GEBGRHJCGv7RKbtCPUrIpCAPfEXJGfVDvO0JWDB8OTzwRrVJ95JEwfXpin6C+ML4X\n0j2kWhRXArM6ON8IlHY9joh0F911XlW3VlvrO4GkSW1t6DuCFJDap/Te0eLB2gd9R8iaoiK48kq4\n7z64+GK4/PLt9zSunT/fXziRFKVaFM8Hqjs4PwF4q+txREREREQkX3z0o9F+xm+8AePHw4IFvhOJ\npC7VovhXwI3OuY8BDhjjnPs68GPgpnSHE5H8pcXtRHyK+Q4gUpCqOxw76v722gseeQTOOAOOOgoe\nesh3IpHUlKTS2cx+6ZwbBDxAdLv0dKAB+JGZ3ZaBfCIiIiIikuOKiuB//gdOOCHa05jfRQtx9ezp\nO5nI7qW8z7CZBcBg4GjgWGCImf0wzblEJM9pTrGIT6HvACIFqY463xG8O/ZYeOWV6PEJJ4DW25J8\nkHJRDGBmG83sRTN73szWpzuUiIh4EI/7TiBpUlPjO4EUkvh4vXe0KK8p9x0hJwwcCD+oquKzn4Wj\nj4a//MV3IpFdS3Wf4o7+1mNE84vNzPZOV7B00T7FIiIiIiJ+vPginHsunHkmXHcd9OjhO5F0R13d\npzilOcXAjvOGewCHAycAv+hsiEwLgoBYLKaFf0REREREsuioo+Dll+GCC+Ckk+Cee6J9jkXSIQzD\ntEzZS2mkeKdP4tx3gRFmdmmXnyzNNFIs4kcYhvpDlIgnuv5E/NC1t3NNTfCjH8HNN8Of/gT6Nkk6\ndXWkuFNzijtwP3BBmp5LRERERES6kaIi+P734c47o9Wpr7suKpRFckG6RorPBn5lZjm3uoBGikVE\nREREcsfChdE84yFDoiK5rMx3Isl3WR0pds7d6py7pV271Tk3HfhTcxMRkXwVBL4TSJroRynZFISB\n7wg5oz7Q/kMtgl3sxVRZCU89BVVVcMQRUKedrMSzVFefDolWm27RBKwA/gHcaWaNaU2XBhopFvFD\n86rykHOg98tuwbkQs5jvGFIgXK3D4nrvAJjqpjLFpviOkRNcGGJJ/B5w991w6aVw/fXwxS9mPpd0\nT1ldfdr0f1gREREREUmT886DQw6Bs86C556Dm26C0lLfqaTQpGuhLRGR7WiUWMSnmO8AIgWpmmrf\nEfLSAQfACy/A+vXw0Y/CggW+E0mh2e1IsXPu70S3TO9uONrM7GNpSSUiIiIiIgWjX7/oVuobboCj\nj4Zp07Rtk2RPMiPFi1NoIiIAadlIXUQ6K/QdQKQg1aEVo7rCOfjOd+Cuu6Lbqm+8UUtdSHbsdqTY\nzCZnIYeIiPgWj/tOIGlSU+M7gRSS+Hi9d7Qor8m53Um9iVdVdfrfnnwy/PvfcOaZ8NJL8JvfQJ8+\naQwnsoNO7VPsnCsF9mk+fNfMNqU1VRpp9WkRERERkfyzcSN85Sswezb85S8wapTvRJKrsr1PcS/n\n3P8Cq4HXmttq59zPnXO9OhtCRERERESkvT594A9/gM9/Ho45Bp580nci6a5SXX36F8DngG8CBze3\nbwLnAb9MbzQRyWeaUyzij64/ET907aWfc/Ctb8Gf/gSf+1y0EJduApV0S2mfYqLi93Nm9ki7c286\n55YA04CL0pZMREREREQEOOkkeP75aJ7xyy/Db3+recaSPinNKXbOrQROMLM5O5zfD3jWzPZKc74u\n05xiEREREZHuYdMmuPhieO01+OtfNc9YIlmdUwzcBnzbOdf6gs65IuAy4PbOhhARkRy710ORAAAg\nAElEQVQQBL4TSJroRynZFISB7wg5oz6o9x0hZwT1mflelJbCnXfCF74Axx4LTz+dkZeRArPbkWLn\n3K1AS6di4GzgfeAFwAFHAYOA+8zsy5mL2jkaKRbxIwxDYrGY7xiSCuc0UaubcC7ELOY7hhQIV+uw\nuN47AKa6qUyxKb5j5AQXhliGfw/4+9/hggvghz+MVqmWwtXVkeJk5hTvS1tRDPBq88ehzR8XNLd9\nEBERERERyYJTToFnnoFPfSq6nfrnP4eSVFdMEiGJoti6wZ+agyAgFotp1Eoki3S9ifgU8x1ApCBV\nU+07QsEZMwZmzoTzz4eJE+Hee2HgQN+pJFvCMEzLqu8pLbSVj3T7tIhIknT7dLehH6Vkk26fbhO6\nkFj+jyelRTZun25v2za4/HJ46KGo7b9/1l5ackDGF9pyzh2RQpjezrkDOhtGRLoP7dUo4lPoO4BI\nQaqjzneEglVcHO1hfNVVMH48TJ/uO5Hkk2RWn37IOfeAc25i80rTCZxzI5xz3wPmAsenNaGIiGRH\nPO47gaRJTY3vBFJI4uP13tGivKbcd4ScEa+q8vK6kydHWzV9+cvw05/qrhlJTjKrT+8BXAFcApQC\nrwCLgQaiVacPBEYT/Vn6B2b2bAbzpky3T4uIiIiIFJaFC2HSJDjoILjlFujd23ciyaSu3j6d9Jxi\n51xvYCIwnqgI7g2sJCqS/2ZmszsbIpNUFIuIiIiIFJ4NG6L9jBcsgAcegGHDfCeSTMn4nOIWZtZg\nZn81s2+Z2afNbKKZfd7Mfp6rBbGI+KM5xSL+6PoT8UPXXm7p2xfuuQdOPRWOOSbatkmkI0kXxSIi\nIiIiIvnEOfjBD+D66+Hkk+HRR30nklykLZlERERERKTbmzkTzjwTrrgCvvnNqGCW7iFrt0+LiEg3\nFwS+E0ia6Ecp2RSEge8IOaM+qPcdIWcE9bn3vTjmGPjXv+DWW+Eb34DGRt+JJFekZaTYOVdlZvOb\nHw8zs6VdftI00UixiB9hGBKLxXzHkFQ4p70rugnnQsxivmNIgXC1DovrvQNgqpvKFJviO0ZOcGGI\n5ejvAR98AJ/5TPT4nntgwAC/eaTrcmWk+CfOuV7Nj7c6585P0/OKiIiIiIikzYAB8Mgj8JGPwHHH\nQQ4OakuWpaso/puZbQYws1XA+jQ9r4jkKY0Si/gU8x1ApCBVU+07giSppARuugkuuQSOPx7+/W/f\nicSnkjQ9z0rn3P3AH4EFwCHAw2l6bvHprbdg+fLotsqW1QhaHrdvqZzPVN9cez0RERERyWmXXgr7\n7AOTJsEvfgHnnec7kfiQlqLYzB5xzr0D1ADHAr9Ox/PujnNuP+AyYC/gSTPLyusWlAcegMcea5tn\naJbYUjmfqb659HrtpVJYFxW1tfbHmfhcFl4jXLqUWEXFzvsWFUFx8c7b7j6fzn+X7L8pKYlacXHn\nrieRrAnRaLFI9tVRR0zXXt459VT4xz/g9NPh7bfh6qs1vlFo0jVSjJnNAa5M1/Ml+ZpvAV91zhUB\nd5KlYrygfO97UZPUdLawbmpqa+2PO/u5dD1PZz43ezaMGdPx57Zta/vYvm3evPPPJdOy8e+2bo1+\nbiUl0KNHW6Hc8jgd51Lp37NnYuvVK/lzJSVt/+ePx7N/rUhG1NT4TiCFJD5e7x0tymvKfUfIGfGq\nKt8RUnLIIfD889GI8dtvw223Rf+blMLQ6dWnnXP3m9nZzY/PBnoADwGHAr3MbEYKz3U78ElghZkd\n3O78RGAqUAz81syu7+Dfng58FbjLzKZ18HmtPi0i6dXUFBXHjY1Ra3m8q3Op9k/mXEvbsiVqmze3\nPU72XGNj5wvq3r23b6WlHT9O9nMagRcREc82bYLPfx5WrYpumNxzT9+JJBldXX26K0VxiZk1Nj+e\nAqwCJgFbgffN7NIUnuujRItz/b6lKHbOFQNzgJOBxcCLwPnAkcDhwE/NbEm753jEzE7r4LlVFIuI\n7ExLgZ9qQb15c9QaGqLfIBoaEh+n+rni4p0XzH36QN++Udvd4119vrRU98SJiMguNTXB//xPNINw\n+nQYNcp3ItmdrhbFnb59uqUgbvYIMMTMznHOlaX6vGb2jHNu1A6nxwFzzWwegHPubmCSmV0H3NV8\nbjxwJtALeLQTX4aIZIj2Kc4TRUXRqK/ve8TMouJ8ZwXzxo2wYUPUWh63fFy6NPFcR/02bIgK+tLS\nxAK6Xz/o3z/62NJ2PN7ZuZK0zURKG11/In7o2useiorghhugqipamfrBB+HII32nkkxK6f/kzrn+\nwBn8f/buPq7m+/8f+OOVqHShFEarTscwMTFMtM1hZiUk9nEdmV25aPx8+IyFTsOHzT5jm9n2mTAk\nfM3VKGM4suUjQ5iLmaRMTRRLCV08f3+8dZTOqU6dzvtUz/vt9r7lfXFe7+d5vU9vPc/r9X69gOaQ\nWnF/JKIHRHQZwGUAIKI7RorNFcC1Eut/AuhR8gAiOgzgcEUFhYSEQPHoKx5HR0d07txZe8PSaDQA\nwOu8zuu8zutyrgsBTXx8xcfb21fvfEVFUL3wAnDvHjQHDgD370Pl5QXcvQvN0aPAvXtQubpK67/9\nJq07OEjrKSnSuhDS+u3b0rq1NWBvD42lJWBjI73e3h6a+/cBOzuoOnQAnJyguXFDWvf1BRwdofn9\nd2l9wACgYUPzuh68zuu8XqX1YuYSD69Xb/2991Rwdwf69dPg/feBOXPMK776vJ6YmIg7d6S08+rV\nq6iuSnefFkK0B7AXQBYAGwCekLpMTyWi7dUORGop/qFE9+lhAPyI6K1H62MB9DCkW/aj13H3acYY\nYzWDSGqJvntXWrKzH//Mzgbu3Hm83L5der14+ftvqfXa0VH/4uQEODs/XlxcpJ+OjlKTBmOMsRqT\nkAAMGQLMnQtMnix3NEwXU3af/jek7suJj05sD2AkgIVCiOZE9E1Vg9DjOgC3EutukFqLGWOM1QS1\nWlpY5Qnx+Jnlp56qWhlEQE5O2WS5ZBJ97RqQmAhkZkrLrVvSz7t3pcS4ZKLs7Az176OgHnyydCLt\n7Aw0ayb9NMMu36z2UmvUUKvUcodhFpLVyfBUe8odhllQJydD7Vk36uKFF4Cffwb8/YGrV4ElS/j7\nyLrGkJbiz4noPR3brQBEAwgnorNVDqRsS7ElpC7arwBIA5AAYBQRXTCwXG4pZkwGGo1G282F1RJC\n6J5vm5mvggIpeS5Okh8tYqIS9K/Yskn0rVvS8U5OQPPmQIsW0lL8b13brK3lfpfMzIkIAQrnewcA\nLBfLMZ2myx2GWRAaDaiO/R2QmSm1GLdqBXz3Hd8ezYkpW4ozdG0kogdCiEkA1JCmRjKYECIaQG8A\nzkKIawDmE9EaIcRUAD9CmpIp0tCEmDHGGKvTLC2l1t9mzUpvn6gBPiozi6GkoED6y+7GDSAjQ/pZ\n/O9Ll0pvz8iQ/uormTS3bCn9RVi8uLpKP52ceGRvxlid5uwM7N8vzQX/6qvAjh3SNlb7GZIU6/0K\nkIhuCCFuVzUIIhqlZ3ssgNiqlssYkw+3EjMmJ5X+XZaWj1uDK0IkPfNcMnFOTwfS0gCNRvpZvNy/\nLyXMxUmyrsS5VSvAzs5Yb5Ixs9MZneUOgdUwa2sgOhqYPRvo1UuatkmplDsqVl2GJMX9hRBHARwh\nonwd++8ZKSajU6vVUKlU/Ec6Y4wxZgghHg/21a5d+ccWT49VMlFOSwNOnnz87+vXpem/3N2luU7c\n3csuLVtKc1YzxpiZsrAAPv4Y8PSUpmzasQPo0aPi1zHj02g0ZUZ/rwpDnim+AcAaUiJ9GMA+APuI\n6Pyj/WFEtKjaERkZP1PMmDz4meJaiJ8prjOE0IBIJXcYZREBWVlAaqruJSVFeu65VSvdCbNSCSgU\n/CCfmeFnih/jZ4ofq4vPFOuyezcwYQKwejUwaJDc0dRfpnym+EtII1D3AtAfwGgAnwgh0gD8BKAS\n/bAYY4yZrfBwuSNgRjJ+vNwR6CHE45Gwu3TRfcyDB1KLcslk+eRJYNs2IDlZWm/WDGjdWkqSn1ya\nN+dnm00svDffO4q1GM9/DhcL9/CQOwSTGDgQ2LMHCAwEPvwQeOstuSNiVWFIS3EjInr4xLamAPpB\nSpJfJyJH44dYPdxSzBhjjNUhhYXAn38CV67oXu7dK5sot20rLe7u3DWbMVYjLl8G/PyAsWOl75j5\nuznTqm5LcaWT4koEsoCI5hmlMCPipJgxxhirR7KzSyfJSUnSqNqXLklds1u3lp6PLk6Ui//t4iJ3\n5IyxWu7GDanl2Nsb+PprnhLelMwpKfYmotNGKcyIOClmTB78TDFj8uHfPz1yc4E//pAS5N9/f5ws\n//671IJcMlF+9lmgQwcpiea/bFkl8e8ey8kB/vEP6ZayeTNgayt3RPWDKZ8pLpc5JsSMMcYYY1q2\ntkDnztJSEhFw8+bjBPn334E1a4Bz56QRtdu2lRJkLy/pZ3GyzF2xGWNPsLMDdu0C3n4b6NtXGojr\nyankmfkxWkuxueKWYsYYY4xVWW4ucPGilCAXL+fPA3/9VTZZ7tRJmqOFHyZkrN4jAubNA7ZsAfbu\n5bmMa5rZdJ82V0IICg8PLzNPseD/sBhjtYTJ7tNqtbSwWo8vpQnk5gIXLpROls+ckZ5p7tRJeqiw\nc2fpZ8eOgI2N3BHXGLVGDbVKLXcYZiFZnQxPtafcYZgFdXIy1J5cF199JQ2av3ix3JHUTcXzFEdE\nRHBSXB59LcWPvk2QISLGGKs8k96reJ7iOsNs5ymuDzIzgdOngcTExz8vXZJakIuT5OKfTz0ld7RG\nwfMUP8bzFD9WX+YpZubBJM8UCyG2AfgewG4i+ruqJ2OMMcYYq9OcnaUHCfv2fbztwQOpVbk4Sf7o\nI+mnlRXQrRvQvbv0s1s3aZ5lxhhjJlXZgbbOAngfwGohxCEA2wHsIKIbNRYZY4wxxqpIJXcArCQr\nq8cDfI0fL20jAlJSgF9/lZZPP5V+NmlSOlHu2hVwcpI3flZpndG54oMYY2anUkkxEYUDCBdCPAMg\nCMB4ACuEEMcgJcjbiCi55sJkjDHGGKtDhAAUCml5/XVpW1GRNK9ycaK8YAFw8qTUzbo4Ue7VC+jS\nRUq0GWOMGYVBUzIR0WUASwEsFUK0BDAEwFAA/xZCXICUIH9HRFeNHShjjDHGKksDbi2uhSwsgDZt\npGXUKGlbYaE0RdSvvwLHjgEbNkjr3t5Az55SktyzJ9CqlbyxMwBAIhKh4t89xmqdKs9TTETpAL4C\n8JUQwgnAQEityP+AlDgzxhirTcLD5Y6AGUlxD11WBzRoIE355OUFjBsnbcvJAY4fB44eBdauBd55\nR5qDuWSS3Lkz0LChSUIM7833jmItxreQOwSzEe7hIXcIjFWahTEKIaLbRLSeiIYSESfEtVRiYiJm\nzpypXbezs4O9vT3s7e1hYWGBxo0ba9ejo6PLLcvPzw/hOv7A3rlzJ1q2bImioiKdr0tLS4Obm1v1\n3kgNW7FiBbp16wZra2tMmDChzP4LFy6gb9++cHR0RJs2bbBjx45yy8vKykJQUBDs7OygUCjKrVuF\nQgErKytkZmaW2t6lSxdYWFggNTW1am+KMYDn8KlD1q5VyR0Cq0l2dkCfPsAHHwA//ADcvAns3w/4\n+0tzKE+cKD2H3KeP9GXXwYPAvXs1Fg5Px/TYqLWj5A7BbPB0TKw2qXJLMTONEydOYP78+cjKysKb\nb74JIsKdO3ewcuVKHDp0CB5G+hbu008/xc8//4wmTZpot+Xk5Gj/7enpicjISPQtOZpmOUJCQhAW\nFoaIiIhS29evX4+xY8fCwkL39zExMTHw9/fXue/kyZNQq9X4+++/MW7cODx48ACnT5/G6NGj0bt3\n70rFZQyurq6YN28efvzxR+Tl5ZXaV1BQgMDAQEyePBkHDhyARqPBoEGDcOrUKbRp00ZneVOmTIG1\ntTUyMjJw6tQpBAQEwNvbG15eXmWOFUJAqVQiOjoaU6dOBQCcPXsWeXl5PPc2Y4zVV0IAbdtKS3E3\ngexsID4eOHwYmDdPGvm6Uyegd2/g5ZcBX1/AwUHeuBljzEwYpaWY1ZyuXbvC3t4eU6dOxcSJE/Hm\nm29i5syZmD17NlxdXY12nhkzZiAwMNCg16SlpWHYsGFo3rw5lEolvvjiC+2+wMBAZGZm4siRI9pt\nt2/fxp49ezCuuPuXDjExMRgwYIDOfc8//zzs7e0xY8YMTJw4EZMnT4a/vz/ee+89g+KurqCgIAQG\nBsLZ2bnMvosXLyI9PR3Tp0+HEAJ9+vSBr68v1q9fr7Os3NxcbNu2DQsWLEDjxo3h6+uLwYMH6z0e\nAMaOHYt169Zp17/77juMGzeu1Fy2CoUCS5YsQYcOHdC0aVO88cYbePDggXb/tWvXMHToUDRv3hwu\nLi4IDQ2tSlUwxsyURqOROwQmNwcHwM8PWLwY+OUXICMDWLhQGqDr44+lZ5C7dQNmzAB27ACysuSO\nuE7g3z3GaiduKa4F4uLisGLFCgBAVFQUxowZg379+sHSsvzLd+XKFXz77bd69/v4+JRKhEsmVRUp\nKirCoEGDEBQUhM2bN+PatWvo168f2rVrh/79+8PGxgbDhw/HunXr8NJLLwEAtmzZgvbt2+O5557T\nWWZ+fj6OHDlSbkJ49OhR7Xt6+PAhNmzYgBkzZlQ6bmOqbH0VFRXht99+07nv0qVLsLS0xDPPPKPd\n5u3tjcOHD+stz8fHB+vXr8fFixfRpk0bbN68Gb/88gvmzp1b6riNGzdi3759aNy4MQYNGoSFCxdi\nwYIFKCwsxMCBA9GvXz9ERUXBwsICv/76a6XeC2OMsVqqcePS8yc/eCAN3nX4MPDVV9Lzym3bAv36\nAa+8Arz4ImBjI2/MjDFmIvUiKVar1VCpVFCpVHKHYrBz586hYcOG2Lp1K06cOKFtnVQqlRW+VqlU\nYvHixZU+lyHdb48fP45bt25pEzFPT0+8+eab2LRpE/r37w8AGD9+PAYOHIgvv/wSjRo1wrp16zC+\nnNFf4uLi4O3tDVtbW537L1y4gCZNmuDIkSNITk7G8ePH8emnn8Ld3b3ScT8pPj4eYWFhOH/+PLy9\nvfHWW2+hb9++OHfuHDZv3owvv/xS72t11Ve7du3QvHlzLF26FNOnT8ehQ4cQFxent9t5Tk4OHJ7o\nvubg4IC7d++WG3dwcDDWrVuHl19+GV5eXmV6DQghMHXqVO32sLAwhIaGYsGCBUhISEB6ejqWLl2q\n7cbu6+tb7vkYY7VLbfz/jpmYlZXUhdrXV3o2+eFDaXTrn36Sxhc4cwZ44QUpQe7XT5ovuUEDuaM2\ne/y7x5hpaTQao/TQqBfdp4uTYkMJIaq9VNehQ4cwbNgwvPvuu5gzZw769OkDQOq6bGyGtBSnpKQg\nLS0NTk5O2mXx4sXIyMjQHuPr6wsXFxds374dSUlJOH78OEaPHq23zJiYGAQEBOjdf/DgQQQGBuK1\n117Du+++i/T0dKSnp1c6Zl02bdqEZcuWIS0tDdOmTcPq1avx7LPPYtGiRXj77bfLfa2u+mrYsCF2\n7NiBPXv2oGXLlli2bBmGDx+Op59+WmcZdnZ2yM7OLrUtOzsb9vb2es8rhEBwcDCioqJ0dp0uVnLA\nMnd3d+1n5tq1a/Dw8ND7XDerx3igrTqDLyUzWKNGwEsvARERUnfr69eB//f/pEG8Jk4EXFyAoCBg\nxQppSqgS/++oNWr54jYzyepkuUMwG+pkrgtW81QqFdRG+E+vXrQUV5UhSWJN0Wg0GPVorkJXV1e4\nu7sjMzMTp06dQqsK5iQ0tPu0IUm8u7s7PD09cenSpXKPGzduHNatW4eLFy/Cz88PzZo103tsbGws\ntm/frne/RqPBm2++qV3PyspCcnIyevTood2Wnp6OkSNHIigoCKNHj0bz5s3Lje+zzz7Tvu+AgIBy\nk/In6auv5557rtQ3Vr169dI5SjUAtG3bFgUFBbh8+bK2C/Xp06fRsWPHcs/t7u4OpVKJ2NhYrF69\nWucxJUeiTk1N1X5e3NzckJqaisLCQjTgb/1ZSRERnE3VERERGqjVKrnDYLWZgwMwcKC0AMBff0mj\nWP/0E7BkiZRE+/sD/v6IOBHBI1A/sjNiJ6arp8sdhlmISEnhEahZrcFJsRkjIhw+fFj7PLGVlRUA\n4PPPP8e8efMqfL2h3acN+RLghRdegL29PT7++GOEhoaiUaNGuHDhAu7fv49u3bppjxs3bhwWLFiA\nM2fOYPny5XrLS05OxoMHD9CuXTu9scXFxZVK8s+ePYumTZsiPT0dLVu2BAC0bNkSDRs2xPTplfsP\nqSqt+YWFhcjPz0dBQQEKCwvx4MEDWFpaahPMs2fPok2bNigqKsLKlStx48YNhISE6CzL1tYWQ4cO\nxfz587Fq1SqcOnUKu3btwtGjRyuMIzIyEnfu3IGNjQ0KCgpK7SMirFy5EgMHDoSNjQ0WLVqEkSNH\nAgB69OiBli1bYvbs2YiIiICFhQVOnjyJXr16GVwXjDHG6omnngJGj5YWIuC334DYWOA//wFUAPr3\n1ybJaNdOGhGbMcZqCaP2nxRC+AkhHI1ZZn115swZzJkzB/fv38eePXsQGRmJzz77DP7+/sjPz0dC\nQgLGjh2LRYsWAUCpUZ6rYsWKFVi9ejU0Gg0iIiLKdOl9koWFBXbv3o3ExEQolUo0a9YMb7/9dpnX\neXh4wNfXF/fu3cPgwYP1lrdnzx69rbRnzpzBBx98gLy8PGzbtk27/Y033sD//vc/7Nu3T7vt9u3b\ncHSs2Y9g8UjRH330ETZs2KBNOoutX78erVq1QosWLXDo0CHs378fDRs21O4fMGAAlixZol1fuXIl\n8vLy0Lx5c4wZMwZff/012rdvX2EcSqUSzz//vHa9ZIIvhMDo0aPRv39/tG7dGm3atNE+/21hYYEf\nfvgBly9fhru7O9zc3LBly5Zq1QljzNyo5A6A1WVCAM89B/zrX8ChQ9K2SZOACxeAV18FlEpg8mRp\nDuXcXHljNbHO6Cx3CIyxKhBV7SIshHAmoswntjUCMAFAIBHpnlfHxIQQpOs9CiHMont0VcXHx6NX\nr17Yt28frK2t0aNHD21Lcm0UEBCA0NBQ+Pn5Vauc3bt3IykpCdOmTQMA3Llzp8aTZHNk6LzSzHyZ\n9F4lRKnnBFntxZeSmZKIEKDwRx84IuDcOakVOTZWGuG6d29g8GBg0CCpxbkO0wgNVKSSOwyzIDQa\nEA88xkzk0d9LVe6iUp2W4lFPbiCih0T0DYA/qlEuq4Tirq6+vr44ffp0rU6IARhtdPC4uDi8+OKL\nAIBTp07h77//rnaZjDFW+2jkDoDVV0IAHTsCs2ZJzyCnpkpdrg8eBNq3B3x8gH//W0qc6+A3N4lI\nlDsExlgVVOeZ4nAhhC+AYwASAJwgogeP9p2tdmSsUho0aFDhoEy1waxZs6pdxtGjR7Fnzx74+Pjg\n1KlT+Omnn7Bp0yYjRMdYPREeLncEzEjKmf2OMaML713OvcPRERg1SloePgTi4oBdu4ABAwBLSyAw\nUGpFfvFFab2WazG+hdwhmI1wDw+5Q2Cs0qrTfXoGgHgAPQG8AKArgLuQEmRHIirTkiyHutp9uthP\nP/2Erl27wsnJSe5QGGM1oK7cqxhjrBQiaS7knTulJDk5WUqOX39dmhe5lveAY4yZVnW7T1c5KdYT\nTHMAPQBMIaLqPRxqJHU9Kd61a1e5A1gxxmq3unKvYoyxcl27BmzfDmzdCpw9K00F9frr0qjWNjZy\nR8cYM3MmS4qFEA0AhD1a/Q8R5ZbY1w6AkohiH633IqL4qgZlTHU9KWaM1W18r2JVodFojDJOA2Oy\nSE8Htm2TEuRTp6Rpnl5/XfrZuLHc0ZWLf/cYk4cpB9qaB+AfAKYAKPWgJhH9DsCxxLpZJMSMMcYY\nY6yWadkSmDJFmu7p998BlQr4+mtp+z/+AWzeXO+memKM1SxDWoojiWjioxbjJQC2AZgJoD2ANAA2\nRORbY5FWEbcUM8ZqM75XMcbYI7duSc8gb9kCHDsmdbEeNUrqYt2wodzRMcZkZMqW4msAQESFAOYA\n+ATArwD2ALAC8G1Vg2CMMWYG1Gq5I2BGwpeSmZJaozbNiVxcgIkTgR9/lFqQfXyARYuAVq2ASZOk\nka2LikwTix7J6mRZz29O1MlcF6z2MKSlOIyIFpVY/39EtKzGIjMSbilmjNVmJr1XCVEn5w2tj4TQ\ngEgldxisnhARAhQu470jORnYtAmIjgZu35Zaj0ePBry9pfuaCS0XyzGdppv0nOZKaDQgfr6amYgp\nW4r9hRD9hRDWj9bTqnpSxhhjjDHGjMLTE5gzR5riKSZGmu84KAjw8pJaklNT5Y6QMWbmDEmKlQA2\nArgthNgPYJAQonPxTiHEaGMHxxhjjLGqUMkdAGPyeO454N//Bq5cASIjgT//BLp0keY+3rChxgfo\n6ozOFR/EGDM7hiTFXwFoBqA3gMMA3AEcE0LcEEJsBPBWDcTHGGOMMcaYYYQAevUCvvoKuH4dePtt\nqXv1009LzyXHxfHjIowxLUOS4n+TJIGIFhLRywBcICXDWQA61UiEjDHGGDOQRu4AGDMf1tbA8OHA\nnj3A+fNA+/bA5MnAM88AH34IXL1qtFMlItFoZTHGTKfSSfGjUaef3HaXiHYR0VQAXxo1MiNSq9XQ\naDRyh8EYY+YtPFzuCJiRjB8vdwSsPgnvXYvuHS1bAjNnAmfPSlM73bwJdO8O9OkDREUB9+9Xq/gW\n41sYKdDaL9zDQ+4QWD2g0WigNsKUC4a0FFdkqxHLMiq1Wg0Vj35XocTERMycObPM9k2bNqFHjx6w\ns7NDixYt4OPjg6+++qpSZfr5+SFcxx/aO3fuRMuWLVGkZ+qEtLQ0uLm5GfYGTCwrKwtBQUGws7OD\nQqFAdHR0ha/ZtGkT2rdvDzs7OzzzzDP4+eefdR6nUChgZWWFzMzMUtu7dOkCC4WvulgAACAASURB\nVAsLpPKgIawm8Dw+dcbatSq5Q2D1iFqlljsEwwkBdO0KfPGF1L166lRg/Xqpe/W0acBvv1Wp2FFr\nRxk50NpL7ekpdwisHlCpVOaVFBPRGWOVxR47ceIEAgIC0LNnT0RGRmLVqlX45JNPoFQqkZKSYrTz\nfPrpp/jwww/LJGH/+c9/MH36dLz//vu4ceMGbty4ga+//hq//PILHj58WGG5ISEh2LBhQ5nt69ev\nx9ixY2FhofsjGBMTA39/f537Tp48icGDB6N3796IjIzEypUr8c477+Dw4cOVeKfGM2XKFFhbWyMj\nIwNRUVGYNGkSzp8/r/f4/fv3Y/bs2fjuu++Qk5ODI0eOQKlU6jxWCAGlUlkq0T579izy8vIgTDy9\nBGOMMVanNWoEDBsG7N0L/Por0KQJ8Npr0jPJa9bU+OBcjDEzQER1epHeYln6tpujESNG0IYNG0pt\n++abbyg/P9+o51m7di2FhIRo1+/cuUO2tra0bdu2cl93/fp1Gjp0KDVr1ow8PT3p888/1+67d+8e\nNWnShOLi4rTbsrKyyNrams6cOaO3zKCgINq+fbve/aNHj6YdO3Zo17dv306dOnUqN05jysnJoUaN\nGtEff/yh3RYcHEyzZ8/W+5qePXvS6tWrK1W+QqGghQsXUvfu3bXb/vnPf9KiRYtICEEpKSna7R4e\nHrR48WLy8vIiJycnmjBhAt2/f5+IiFJTUykoKIiaNWtGzs7ONHXqVEPfKpNZbbpXMfNx6NAhuUNg\nrHbLzyfatYto0CAiJyeid98lOnGiwpfx7x5j8nj091KVc0Zjdp9mNSQuLg6vvfYaACAqKgoA0K9f\nP1haWpb7uitXrmDOnDl6l507d5Y6np4YhfHo0aN48OABAgMD9Z6jqKgIgwYNQpcuXZCWloYDBw5g\n+fLl2LdvHwDAxsYGw4cPx7p167Sv2bJlC9q3b4/nnntOZ5n5+fk4cuQIXn31Vb3nPXr0qHb/w4cP\nsWHDBsyYMaPc+jCmS5cuwdLSEs8884x2m7e3N86dO6fz+MLCQpw4cQIZGRlo06YN3NzcEBoaivvl\nPLvk4+OD7OxsXLx4EYWFhdi8eTPGjh2r89iNGzdi3759SEpKwqVLl7Bw4UIUFRVh4MCB8PT0REpK\nCq5fv46RI0dW740zxhhj9YGlJTBoELBrlzT/catWwNChQLduwLffcusxY3VM+VkVk925c+fQsGFD\nbN26FSdOnICzszMA6O12W5JSqcTixYsrfa4nu+XeunULLi4upbo49+rVCxcuXMCDBw/w448/olGj\nRrh16xbmzp0LAPD09MSbb76JTZs2oX///gCA8ePHY+DAgfjyyy/RqFEjrFu3DuPLGQUmLi4O3t7e\nsLW11bn/woULaNKkCY4cOYLk5GQcP34cn376Kdzd3Sv9Xp8UHx+PsLAwnD9/Ht7e3njrrbfQt29f\nnDt3Dps3b8aXX5YeRy4nJwcODg6ltjk4OODu3bs6y79x4wby8/Px/fff4+eff4alpSUCAwOxcOFC\nLFy4UG9cwcHBWLduHV5++WV4eXnB1dW1zDFCCEydOlW7LywsDKGhoQgICEB6ejqWLl2qvYa+vr4G\n1QtjrHbicTQYM6KnnwbmzQM++ADYvx/4+mtgzhwgOFgaxbpNG+2h/LvHWO3ELcVm7tChQxg2bBje\nffddzJkzB3369AEgDURlbE+2FDs7O+PWrVulBsOKj4/H7du34ezsDCJCSkoK0tLS4OTkpF0WL16M\njIwM7Wt8fX3h4uKC7du3IykpCcePH8fo0aP1xhETE4OAgAC9+w8ePIjAwEC89tprePfdd5Geno70\n9PRqvHNpAKxly5YhLS0N06ZNw+rVq/Hss89i0aJFePvtt8scb2dnh+zs7FLbsrOzYW9vr7N8Gxsb\nAEBoaChatGgBZ2dnzJgxAzExMXpjEkIgODgYUVFR+O677zBu3Lgy16hYyUHJ3N3dkZaWhmvXrsHD\nw0Pvc9uMlcEDbdUZfCmZKak1arlDMI0GDQA/P2DHDuDECWmqJ19f6fnjXbuAwkIkq5PljtJsqJO5\nLljtwX8tl0OtVkMIUWbRN8LZk8cbYyQ0jUajbd1zdXXFK6+8gszMTJw6darC1xraffrJluKePXvC\nysoKO3bs0HsOd3d3eHp64vbt29olOzsbu3fvLnXcuHHjsG7dOmzYsAF+fn5o1qyZ3jJjY2MxYMAA\nvfs1Gg169uypXc/KykLyEzfe9PR09O7dG8uXLy+VoOvz2WefoXPnzmjQoAECAgIQGxuLmzdv4scf\nf4S3t3eZ49u2bYuCggJcvnxZu+306dPo2LGjzvKdnJzw9NNPVxjHk9zd3aFUKhEbG4uhQ4fqPa7k\naNSpqalo1aoV3NzckJqaisLCMrOpMaZbRITcETAjiYjQyB0Cq0ciDtfDe4eHB7B4MZCaCowdCyxa\nBLRujZ0RO4Fbt+SOzixEGHFAWMZqXHUeSK4NC2rxQFtFRUXk4uJC6enppbbPnz/f6INsERGtWbOm\n1EBbREQff/wxtWjRgrZu3UrZ2dlUWFhIp06dIicnJzp8+DAVFhbS888/Tx999BHdu3ePCgoK6OzZ\ns3T8+PFS5Vy9epUaNmxITz/9NG3dulVvDFeuXCGlUql3f1FRETVv3pxu376t3da4cWP68ccfKS0t\nrdSxr7zyiiFv32AjR46kUaNGUW5uLv3888/UpEkTOn/+vN7j58+fT927d6eMjAzKysqiF198kebP\nn6/zWIVCQQcOHCAioqSkJDrxaHCP/Px8nQNtderUif7880/KzMwkX19fCgsLo8LCQvL29qaZM2dS\nbm4u5eXl0S+//GLEGmCmYNJ7VS24L7LKAQ7JHQKrR6DmewcRER0/TsuwjMjRkWjcOKJjx+SOSFbg\nQceYCYEH2qqbzpw5gzlz5uD+/fvYs2cPIiMj8dlnn8Hf3x/5+flISEjA2LFjsWjRIgDAkSNHqnW+\nFStWYPXq1dBoNIiIiNB2DZ41axY+/fRTfPzxx3jqqafw1FNP4d1338XHH3+Mnj17wsLCArt370Zi\nYiKUSiWaNWuGt99+u0zXYg8PD/j6+uLevXsYPHiw3jj27Nmjt+v0mTNn8MEHHyAvLw/btm3Tbn/j\njTfwv//9Tzu4FwDcvn0bjo6O1amSCq1cuRJ5eXlo3rw5xowZg6+//hrt27fX7h8wYACWLFmiXZ83\nbx66d++Otm3bwsvLC127dkVYWFiF51EqlXj++ee160+26AshMHr0aPTv3x+tW7dGmzZtMHfuXFhY\nWOCHH37A5cuX4e7uDjc3N2zZssUI75wxZv5UcgfAWP3TrRs6ozNw+TLQsSMwYgTQsyfwf/8HFBTI\nHR1jrByC9DyjWFcIIUjXexRC6H0+szaIj49Hr169sG/fPlhbW6NHjx6wsrKSO6xqCwgIQGhoKPz8\n/KpVzu7du5GUlIRp06YBAO7cuVPjSbJcPD09ERkZib59+8odCqsBJr1XCQHU4vsie4wvJTMlESFA\n4fyBAwCN0EBFKmmlsBDYuRNYtgy4dg0IDQXefFOaB7keEBoNiAceYyby6O8lUfGRunFLcS3Vq1cv\nANIgVqdPn64TCTEgjdpojJEb4+Li8OKLLwIATp06hb///rvaZTLGWO2hkTsAxuqlRCQ+XmnQQJrG\n6cgRYOtW4ORJwNMTmDYNSEqSL0jGWBmcFNdyDRo00Du4U200a9YsWFtbV6uMo0ePYs+ePUhJScGq\nVavw0UcfwcPDw0gRMlaHhYfLHQEzknJmvWPM6MJ7872jWIvxLXTv6NYNiIqS5jxu3Bjw8QGCgoC4\nuDrbrSOc//ZitUit7z4thLCF9JW4moj26NhfJ7tPF/vpp5/QtWtXODk5yR0KY6wG1JV7FWOMsRJy\nc4F164DlywE7O2DGDOkZZEtLuSNjrFbi7tPAvwBsljsIudy7d48TYsYYY4yx2sTWFpg0CbhwAfjw\nQ2DVKuCZZ4AvvpASZsaYSZlFUiyEWC2EuCGEOPvEdj8hxEUhxB9CiPd1vO5VAOcB3DRVrOamvJGc\nGWOM1U8ajUbuEBirlwz+3bOwAAICgEOHgM2bAY1Geu5Yreb5jhkzIbNIigGsAVBquGEhRAMAKx5t\n9wIwSgjRXggRLIRYJoRoBaA3AB8AowG8JZ6cq4YxxhhjjLHaoEcP4PvvpYG5rl8H2rYF3nsPSEmR\nOzLG6jyzeaZYCKEA8AMRPfdovSeAcCLye7Q+GwCIaImO144HcJOIYnTsq9PPFDPG6ja+VzHGWD2V\nlgZ89pnUtdrfH/jXv4BOneSOijGzVN1nis35aX5XANdKrP8JoIeuA4nou/IKCgkJgUKhAAA4Ojqi\nc+fORgqRMcZMp7hbXvG0ZUZfDwkBQkJqrnxeN9m6Wg2oVOYTD6/X7XW1Rg0VVGYTj5zrHhoPeKo9\njVf+Rx8BH3wAzaxZQJ8+UPXoAcyZA01hoVm83/LW16anY+2oUWYTD6/XrfXExETcuXMHAHD16lVU\nlzm3FA8D4EdEbz1aHwugBxGFGlgutxQzxmotk96rhKizU4PUN0JoQKSSOwxWT4gIAQrnewcALBfL\nMZ2m10zh9+8D69cDS5YAbm7AvHlA377SvdsMCY0G9CiJYaym1eXRp68DcCux7gaptZgxxhhjjLH6\nxdoaeOst4PffgYkTgSlTAF9fICaGv9BkrJrMOSn+FUAbIYRCCNEIwAgAu2SOiTHGGKsFVHIHwFi9\n1BkmeETP0hIIDgbOnQOmTQPefx/o3h3YsQMoKqr58zNWB5lFUiyEiAYQD6CtEOKaEGICERUAmArg\nR0jTLm0mogtyxskYY4wxxphZaNAAGDECOH0amDsXWLAA6NxZmtrp0TPHjLHKMYukmIhGEVErIrIi\nIjciWvNoeywRtSOiZ4hosdxxMsYYY7WDRu4AGKuXEpFo+pNaWABDhgC//io9b7x8OdCxo/T8cUGB\n6eNhrBYyi6SYMcaYGQgPlzsCZiTjx8sdAatPwnvzvaNYi/Et5Du5EMCAAUB8PLBiBfDtt0CHDsDG\njbK0HId7eJj8nIxVldmMPl1ThBAUHh4OlUqlHcb70XYefZoxVmUKhQKRkZF45ZVXavQ8fK9ijDFW\nJUTAgQPSKNXZ2UBEBDB0qNSyzFgdodFooNFoEBERUWdHnzYatVpdKiGuL7KyshAUFAQ7OzsoFApE\nR0dX+dixY8eiVatWaNKkCdq1a4fIyMhKv/7q1asYMGAAmjZtipYtWyI0NBSFdeBZF0Pqt7z6e/jw\nISZOnAiFQgEHBwd06dIFe/fu1VuWQqGAlZUVMjMzS23v0qULLCwskJqaWv03p0NaWhrc3NwqPtDE\nVqxYgW7dusHa2hoTJkwo99iKrpkhn1UhBISZToPBGGOMQQigXz+p5fiTT4CPPgKefx7YuZNHq2Z1\nhkqlglqtrnY59SIprq+mTJkCa2trZGRkICoqCpMmTcL58+erdOwHH3yAlJQU/P3339i1axfmzp2L\nkydPVur1kydPxlNPPYW//voLiYmJOHz4MFauXFmt9xYfH4++ffvC398fkZGRWLlyJSZNmoSvvvqq\nWuUawpD6La/+CgoK4O7ujri4OGRnZ2PhwoUYPnw4UlJSdJYlhIBSqSyV0J09exZ5eXk1mqTFxMTA\n399f7/7PP/8cH3zwQY2dXx9XV1fMmzcPb7zxRoXHVnTNauKzypgcNBqN3CEwVi+Z5e+eEIC/P5CQ\nAHz4ofSoTPfuPJUTYyURUZ1epLdYlr7t5mLTpk1kZ2enXRo1akQqlarSr8/JyaFGjRrRH3/8od0W\nHBxMs2fPrtaxREQXL16kli1b0v/93/9V6vXt27en2NhY7b5Zs2bRO++8U+n3ok///v1p7969pbb1\n7t2bDh48WO2yK2JonZX0ZP3p0qlTJ9q2bZvOfQqFghYuXEjdu3fXbvvnP/9JixYtIiEEpaSkaLd7\neHjQ4sWLycvLi5ycnGjChAl0//59IiJKTU2loKAgatasGTk7O9PUqVPLjTsoKIi2b9+ud39RURG1\nbt2a/vrrr3LLqSlz586lkJAQvfsrc80M+awqFAo6cOAAERGdP3+ePD09adOmTURUfr0TGVb35n6v\nYubp0KFDcofAWL1UK373CguJtm4l6tCByMeHaN8+oqIiuaNirFoe/b1U5ZyRW4rN1IgRI3D37l3c\nvXsXaWlpaN26NUaPHg0AGDhwIJycnHQugwcPBgBcunQJlpaWeOaZZ7Rlent749y5c2XOVdljJ0+e\nDFtbW7Rv3x6tWrXCgAEDKvX66dOnIzo6Gnl5ebh+/TpiY2PLbXGsjIcPH+LYsWN46aWXSm338fHB\njh07DCqrMvX5JEPqt5i++nvSjRs3cOnSJXTo0EFvWT4+PsjOzsbFixdRWFiIzZs3Y+zYsTqP3bhx\nI/bt24ekpCRcunQJCxcuRFFREQYOHAhPT0+kpKTg+vXrGDlypN7z5efn48iRI3j11Vf1HiOEwOjR\no7F+/Xq9x5SnKtehJKrg2+7KXLOqfFZPnjwJPz8/rFixAiNGjNBu11XvAFBYWGhQ3TNWFfXxkSHG\nzEGt+N2zsACGDQPOnJHmOQ4NBXr3Bn7+We7IGJMNJ8VmrqioCKNGjUKfPn3w1ltvAQB2796N27dv\n61x27doFAMjJyYGDg0OpshwcHHD37t0y56jssStXrkROTg6OHDmCoKAgNGrUqFKvf+mll3Du3Dk4\nODjAzc0N3bt3R2BgYDVqBTh27Bi8vLzQuHHjUtvT0tJgaWlpUFmVqc8nGVK/xfTVX0n5+fkYM2YM\nQkJC0LZt23LjDg4Oxrp167B//354eXnB1dW1zDFCCEydOhWurq5wcnJCWFgYoqOjkZCQgPT0dCxd\nuhQ2NjawsrKCr6+v3nPFxcXB29sbtra25cYUEhKCtWvXlnuMPlW5DiVV1HW8MtfM0M/q4cOHERgY\niPXr15f6kkNfvQMwuO5NygjP5DDzwJeSmZJao5Y7BLORrE6WO4TKs7AARo4EfvsNmDgRGDMGGDQI\nOHvWKMWrk2tRXbB6j5NiMxcWFobc3Fx8/vnnBr3Ozs4O2dnZpbZlZ2fD3t6+WscKIeDr64s///xT\n+/yuvtc7ODiAiODn54dhw4bh3r17uHXrFrKysvD+++/rjDsqKgr29vawt7dHQECA3vd38OBB9O3b\nt9S2oqIiaDQak3xLa0idlaSr/ooVFRUhODgY1tbWWLFiRYXlBAcHIyoqCt999x3GjRunt6W05OBY\n7u7uSEtLw7Vr1+Dh4QGLSo5AGRMTU+71KHbz5k3cu3cPCQkJlSrXmCpqKa7omhUVFRn0WSUifPPN\nN/D19cXLL79cZr+uegdgcN2bVESE3BEwI4mI0MgdAqtHIg7zvaPYzoidcodgOEtLaR63S5ekgble\nfRUYNw6oZlIboWdsFMbMkRn+VWZ8arW6agMfqNXS4ARPLvq+gn/y+Gp+Vb9p0yZs3rwZW7duRYMG\nDbTb/f39tYnjk0tx4tK2bVsUFBTg8uXL2tedPn0aHTt2LHMeQ44tlp+fjytXrpT7+g4dOiArKwvX\nrl3D1KlT0bBhQzRt2hQhISGIiYnRWe6YMWO03cb37Nmj9/wajQZ9+vQptW3v3r1o3rw5Bg0aBAA4\nevQo4uPj9ZZRrDL1+aSq1FlJJesPkBKsiRMn4ubNm/j+++9LXW993N3doVQqERsbi6FDh+o9ruRo\n1KmpqWjVqhXc3NyQmppa6VHAY2Nj9Xb3LrZ3714kJCRg7ty5WLNmjXZ7TV6HkipqKa7omhn6WRVC\n4JtvvkFKSgpmzJhRZr+uegdgcN0zxhhjJmFlJXWnvnQJUCqBbt2k9YwMuSNjTC+NRmOU0adlHwir\nphfU0oG2Tp48SS4uLpSYmFjlMkaOHEmjRo2i3Nxc+vnnn6lJkyZ0/vx5g4/NyMig6Ohounv3LhUU\nFNDevXvJ1taWfvjhh0q9XqlU0pIlS6igoIBu375NQ4YMoTFjxlT5fd27d48cHBwoLy9Pu+3KlSvU\np08funLlSpXLNVRl67cy9ffOO++Qj48P5eTkVHjekgM8JSUl0YkTJ4iIKD8/X+dAW506daI///yT\nMjMzydfXl8LCwqiwsJC8vb1p5syZlJubS3l5efTLL7/oPN+VK1dIqVSWG1NUVBTNmjWLiIiys7PJ\n1dW11PWpSQUFBZSXl0ezZ8+m4OBgun//PhUUFOg8tqJrZshntfg63Llzh7p27VpqwC599U5EBtU9\nkYnvVWZ+X2SVx5eSmRLU/IErdgiH5A7BeG7cIHrvPaKmTYnmzyf6+2+DXo7aMOgYqzNQzYG2ZE9a\na3qprUmxWq0mS0vLUiNQDxgwwKAysrKyaMiQIWRra0seHh4UHR2t3efv70+LFy+u1LE3b96k3r17\nk6OjIzk4OFCnTp1o1apVlT5XYmIiqVQqcnJyIhcXFxoxYgRlZGQYWiVERJSQkEChoaHk6upKq1at\nom+//ZY++eQTmjNnDmVmZmqPO378OM2ePZsKCwuJiGjVqlW0Y8cO+u9//1ul8+pS3nsmelzHFdXf\n1atXSQhBNjY2pa73xo0bdZ63ZFJcUn5+PllYWJRKihUKBS1ZsoS8vLzI0dGRQkJCtMlqamoqDRky\nhJydncnFxYWmTZum83xffPEFhYaG6q2Ho0eP0oQJE0ptmzJlCq1Zs8Yk1yE8PJyEEKWWiIgI7f6S\nn/WKrpkhn9WS1yErK4u8vb1p/vz52n366p2o8nVPxEkxqxq+lMyUOCl+rE4lxcWSk4nGjSNq3pxo\n2TKiErMplIeTYmZK1U2KhVRG3SWEIF3vUQiBuv7e67O0tDQsXLgQK1euxMaNG2FlZYVhw4bJHZbJ\neXp6IjIysszz14YICAhAaGgo/Pz8DH5tfb0Oxqj3Yia9VwnBc1bWEUJoQKSSOwxWT4gIAQrnewcA\nLBfLMZ2myx1GzTh7FggLk0atXrQIGDVKGqxLD6HRgGrDaNysTnj091L5z9KVo148U8zqn4cPH0Kh\nUOD69euIj4/XDr6Vk5Mjb2C1kEqlqvLgZXwdapnwcLkjYEYyfrzcEbD6JLw33zuKtRjfQu4Qas5z\nzwG7dgHr1wOffw688AJw+LDew8M9PEwYHGPVwy3FrE46fvw4EhISEBQUhKSkJPz1119wdHSEQqFA\nmzZt5A7PZIzZYlkV9fU61NqWYsYYY6wyioqALVuAOXOATp2Ajz4Cnn1W7qhYPVbdlmJOihljzIzx\nvYoxxpjZevAA+OILKSkePlzqcdS8udxRsXqIu08zxhhjrJQqTUPIGKu2eve7Z2UFzJwJXLwINGwI\neHkBixcDeXlyR8aYQTgpZowxxhhjjFWdszOwfDlw9Chw4oTUlXrDBqmbNWO1AHefZowxM8b3KsYY\nY7XOL78A//wnkJ8PLFsGvPyy3BGxOo67TzPGGDMOtVruCJiR8KVkpqTWqOUOwWwkq5PlDsE8+PpC\nHR0N/OtfwLhx0vPGV6/KHRVjetWLpFitVte/ZzwYY8xQERFyR8CMJCJCI3cIrB6JOMz3jmI7I3bK\nHYLZiEhJAUaMAC5ckKZz6toVmDcPyM2VOzRWh2g0GqiN8E1wvUmKqzrPKmOMMcYYY6yKbGykZDgx\nEbhyhZ83ZkalUqk4KWaMMcaYLiq5A2CsXuqMznKHYL7c3ICoKGDzZuCzzwBfXyAhQe6oGAPASTFj\njDHGGGPMVHr1Ao4dA955BxgyBBg/HkhLkzsqVs9xUswYY4zVORq5A2CsXkpEotwh1A4WFkBICPD7\n70CrVkCnTtL8xvfvyx0Zq6c4KWaM1VkKhQIHDhyQO4zaIzxc7giYkYwfL3cErD4J7833jmItxreQ\nOwSzEe7hUfFB9vZSMnzsmNSV2ssL2LUL4KkImYlxUlyHZWVlISgoCHZ2dlAoFIiOjtZ77IoVK9Ct\nWzdYW1tjwoQJJoyyZlW2Dh4+fIiJEydCoVDAwcEBXbp0wd69e7X7VSoVbGxsYG9vD3t7e7Rv377c\n8yoUClhZWSEzM7PU9i5dusDCwgKpqanVf3NPSEtLg5ubm9HLrS5DPodXr17FgAED0LRpU7Rs2RKh\noaEoLCzU7r9w4QL69u0LR0dHtGnTBjt27Cj33EIICFHlKevqH57Hp85Yu1YldwisHlGr1HKHYDZG\nrR0ldwhmQ+3pWfmDW7cGtm8HvvlGmsZp4EAgKanmgmPsCZwU12FTpkyBtbU1MjIyEBUVhUmTJuH8\n+fM6j3V1dcW8efPwxhtvGO388fHx6Nu3L/z9/REZGYmVK1di0qRJ+Oqrr4x2jopUtg4KCgrg7u6O\nuLg4ZGdnY+HChRg+fLg2eRVC4Msvv8Tdu3dx9+5dXLhwodzzCiGgVCpLJYBnz55FXl5ejSVpMTEx\n8Pf317v/888/xwcffFAj5y6PIZ/DyZMn46mnnsJff/2FxMREHD58GCtXrgQgXaPAwEAMHjwYt2/f\nxn//+1+MHTsWf/zxhynfDmOMMcZqyquvAmfOAC+/DPToAcyfD9y7J3dUrB7gpNhMbd68WdsqaW9v\nDysrK/Tp06fSr8/NzcW2bduwYMECNG7cGL6+vhg8eDDWr1+v8/igoCAEBgbC2dnZWG8BvXr1QsOG\nDTF9+nRMnDgRkydPxldffYXNmzfj0KFDRjuPPobUQePGjREeHg53d3cAQEBAADw9PXHixAntMWRg\nV56xY8di3bp12vXvvvsO48aNK1WOQqHAkiVL0KFDBzRt2hRvvPEGHjx4oN1/7do1DB06FM2bN4eL\niwtCQ0P1ni8mJgYDBgzQuz80NBRbtmzBjRs3DHof1WHo5/Dq1asYPnw4GjVqhBYtWsDPzw/nzp0D\nAFy8eBHp6emYPn06hBDo06cPfH199Zb1pAsXLkCpVGLTpk1GrXfGzJFGo5E7BMbqJf7dM4JGjYD3\n35emcPr9d6BDB2DnTu5SzWoUJ8VmasSIEdpWybS0NLRu3RqjR48GAAwcmHJoHwAAIABJREFUOBBO\nTk46l8GDBwMALl26BEtLSzzzzDPaMr29vbUJhj6GJn7lefjwIY4dO4aXXnqp1HYfH58Ku70+qTLv\n+UlVrQMAuHHjBi5duoQOHTpot82ZMwfNmjXDiy++iMOHD1dYho+PD7Kzs3Hx4kUUFhZi8+bNGDt2\nbJnjNm7ciH379iEpKQmXLl3CwoULAQCFhYUYOHAgPD09kZKSguvXr2PkyJE6z5Wfn48jR47g1Vdf\n1RuPEAKjR4+udBKpi6HXwdBrMH36dERHRyMvLw/Xr19HbGxsua3fRUVF+O233yqM++TJk/Dz88OK\nFSu0dWiMemeMMcZYDXn6aWn6pm+/BWbPBgICgMuX5Y6K1VGcFJu5oqIijBo1Cn369MFbb70FANi9\nezdu376tc9m1axcAICcnBw4ODqXKcnBwwN27d8s9nzG79h47dgxeXl5o3Lhxqe1paWmwtLQ0qKzK\nvOcnVbUO8vPzMWbMGISEhKBt27YAgI8++gjJyclIS0vD22+/jUGDBuHKlSsVxh0cHIx169Zh//79\n8PLygqura6n9QghMnToVrq6ucHJyQlhYmLbLdUJCAtLT07F06VLY2NjAysoKvr6+Os8TFxcHb29v\n2NralhtPSEgI1q5dW2Hc+hh6HQy9Bi+99BLOnTsHBwcHuLm5oXv37ggMDAQAtGvXDs2bN8fSpUuR\nn5+Pffv2IS4uDnl5eeXGfPjwYQQGBmL9+vXalnRj1Ttj5kqlUskdAmP1Ev/u1YB+/YDTp4E+fQAf\nH2DuXO5SzYyOk2IzFxYWhtzcXHz++ecGvc7Ozg7Z2dmltmVnZ8Pe3r7c11WmpTgqKkrbrTsgIEDv\ncQcPHkTfvn1LbSsqKoJGozHJfxpVqYOioiIEBwfD2toaK1as0G5/4YUXYGtri4YNG2LcuHHw9fVF\nTExMuecXQiA4OBhRUVE6u04XKzk4lru7O9IezdV37do1eHh4wMKi4l/TmJiYcq9FsZs3b+LevXtI\nSEio8FhjMOQaFBUVwc/PD8OGDcO9e/dw69YtZGVl4f333wcANGzYEDt27MCePXvQsmVLLFu2DMOH\nD8fTTz+t9/xEhG+++Qa+vr54+eWXS+0zRr3XOTzQVp3Bl5KZklqjljsEs5GsTpY7BLOhTjZiXTRq\nBMyaJXWpvnxZGqV6+3buUs2Mph7+1Vd5ajUgRNlF3x8bTx5f3T9KNm3ahM2bN2Pr1q1o0KCBdru/\nv3+p541LLsWJUdu2bVFQUIDLJbqZnD59Gh07diz3nJVpKR4zZoy2a/eePXv0HqfRaMo8B7137140\nb94cgwYNAgAcPXoU8fHxFZ6zMu/5SYbWARFh4sSJuHnzJr7//vtSdV5V7u7uUCqViI2NxdChQ3Ue\nU3Ik6tTUVLRq1QqAlLSlpqaWGn1Zn9jY2HKfJwakuk9ISMDcuXOxZs0a7fbKXgPA8OtgyDXIysrC\ntWvXMHXqVDRs2BBNmzZFSEhIqS8fnnvuOWg0Gty6dQuxsbFISkrCCy+8oDdeIQS++eYbpKSkYMaM\nGaX2GaPe65yICLkjYEYSEaGROwRWj0Qc5ntHsZ0RO+UOwWxEpKQYv9CnnwY2bQJWrwbCwgB/fx6l\nmhkHEdXpRXqLZenbbi5OnjxJLi4ulJiYWOUyRo4cSaNGjaLc3Fz6+eefqUmTJnT+/HmdxxYUFFBe\nXh7Nnj2bgoOD6f79+1RQUFDlc9+7d48cHBwoLy9Pu+3KlSvUp08funLlSpXLNZQhdfDOO++Qj48P\n5eTklNp+584d2rt3L+Xl5VF+fj5t2LCBbG1t6Y8//tB7XoVCQQcOHCAioqSkJDpx4gQREeXn55MQ\nglJSUoiIyMPDgzp16kR//vknZWZmkq+vL4WFhRERUWFhIXl7e9PMmTMpNzeX8vLy6JdffilzritX\nrpBSqSy3HqKiomjWrFlERJSdnU2urq6lrk1NMuQaKJVKWrJkCRUUFNDt27dpyJAhNGbMGO3+M2fO\nUF5eHuXm5tLSpUtJqVTSw4cP9Z67+DrcuXOHunbtSrNnzyYi49S7qZj0XmXm90VWecAhuUNg9QjU\nfO8otgzL5A7BbODQoZo9wcOHRB9/TOTsTLRgAdH9+zV7PmbWHv29VPWcsTovrg1LbU2K1Wo1WVpa\nkp2dnXYZMGCAQWVkZWXRkCFDyNbWljw8PCg6Olq7z9/fnxYvXqxdDw8PJyFEqSUiIqJKsSckJFBo\naCi5urrSqlWr6Ntvv6VPPvmE5syZQ5mZmdrjjh8/TrNnz6bCwkIiIlq1ahXt2LGD/vvf/1bpvLqU\nVwdEj+shJSWFhBBkY2NTqs43btxIN2/epO7du5O9vT05OjpSz5496aeffir3vCWT4pLy8/PJwsJC\nmxQrFApasmQJeXl5kaOjI4WEhJRKVlNTU2nIkCHk7OxMLi4uNG3atDJlfvHFFxQaGqo3lqNHj9KE\nCRNKbZsyZQqtWbPGrK4BEVFiYiKpVCpycnIiFxcXGjFiBGVkZGiPnTVrFjk5OWl/H5KSkso9d8nr\nkJWVRd7e3jRv3jxSKBS0ePHiatW7qXBSzKqCLyUzJU6KHzvEX0hp1XhSXOzqVaKBA4mefZZIozHN\nOZnZqW5SLKQy6i4hBOl6j0II1PX3bu7S0tKwcOFCrFy5Ehs3boSVlRWGDRsmd1gm5enpicjIyDLP\nXhsiICAAoaGh8PPzM/i19fUaGKPeTcWk9yoh+PmsOoIvJTMlESFA4fyBAwCN0EBFKrnDMAtCowGZ\nauAxImDHDuC994BXXgGWLgWaNTPNuZlZePT3UpVHDOZniplsHj58CIVCgevXryM+Pl47+FZOTo68\ngdUyKpWqygOX8TVgrK7SyB0AY/VSIhLlDqF+EgIICgLOnweaNgU6dgQiI4GiIrkjY7UEJ8VMNjdv\n3oStrS2EEBgxYgQOHjyI/fv3Iz09Xe7QapVZs2bB2tq6Sq/la8BKCQ+XOwJmJOPHyx0Bq0/Ce/O9\no1iL8S3kDsFshHt4mP6k9vbAp58Ce/cC33wD9O4NnDtn+jhYrcPdpxljzIzxvYoxxhirgsJCKTEO\nDwfefBOYNw9o3FjuqFgN4e7TlaBWq6HRaOQOgzHGGGOMMWYKDRoAkycDZ84AV69KXapjY+WOihmZ\nRqOBurrz4IJbimWIiDHGKo/vVawqNBpNlccaYIxVHf/umbEffwSmTAG6dQM++wxowV3d6xJuKWaM\nMcYYY4yx8rz2mtRq7OEBdOoErF3Lw/QzLW4pZowxM8b3KsYYY8zITp2SnjN2cpKeO27dWu6IWDVx\nSzFjjDHjMMIzOcw88KVkpqTWqOUOwWwkq5PlDsFsqJPNuC66dAGOHQP8/IAePYBPPgEKCuSOismI\nW4oZY8yMmfReJQR3JasjhNCASCV3GKyeEBECFM73DgBYLpZjOk2XOwyzIDQaUG14vjopCXjnHeD2\nbWDVKilhZrUOtxQzxhhjjDHGWFW0bg3s3w+EhkrPHb//PpCXJ3dUzMQ4KWaMMcbqHJXcATBWL3VG\nZ7lDYFUhBBASApw9C6SkSANxHTwod1TMhDgpZowxxhhjjLEWLYBNm4BPP5WS5IkTpW7VrM7jpJgx\nxhirczRyB8BYvZSIRLlDYMYwaBDw22+AjQ3QoQOwbZvcEbEaxkkxY6xOUygUOHDggNxh1A7h4XJH\nwIxk/Hi5I2D1SXhvvncUazG+hdwhmI1wDw+5Q6geBwdgxQpgyxZg9mxgxAjg5k25o2I1hJPiOiwr\nKwtBQUGws7ODQqFAdHS03mNVKhVsbGxgb28Pe3t7tG/f3oSR1hxD6qCiY+3s7LT1Y29vD0tLS7z3\n3nt6y1MoFLCyskJmZmap7V26dIGFhQVSU1Or9+Z0SEtLg5ubm9HLrS5DrsPYsWPRqlUrNGnSBO3a\ntUNkZGSp/YZ+VoUQEKLKgxHWLzyPT52xdq1K7hBYPaJWqeUOwWyMWjtK7hDMhtrTU+4QjOPFF4HE\nRMDNDXjuOSlJ5pka6hxLuQNgNWfKlCmwtrZGRkYGTp06hYCAAHh7e8PLy6vMsUIIfPnll3jjjTeM\ndv74+HjMnTsXVlZWeP311/HgwQOcPXsWnTp1wqRJk4x2nvIYUgcVHZuTk6M9Njc3F0899RSGDx+u\n99xCCCiVyv/f3t0HRXXk/QL/tkpQEIxGMSUlDBitK/qI5sV1HTVD9jEPihLfbhARNZpsblzZclNa\n0QUv46PJanKzSSxFjVETFQHXZKMGZGPUwbdENAQfKtFFRfFlFFmzLC+y8tb3D2ACwgwzwzDnMPP9\nVE0V50xPn990T5+Zpvv0QUpKCpYsWQIAyMvLQ2VlZYd10jIyMjBp0iSzz2/YsAF3797FO++80yHH\nN8eWevjjH/+InTt3wsPDA3//+9+h0+kwatQoPP300wA65rNKREREZJaXV/29jGfNAl55BUhLA5KS\n6q9BJpfAkWKVSktLazYq6enpibCwMKtfX1FRgS+++AJr1qyBl5cXtFotIiMjsXv3brOvcfS9UMeO\nHQsPDw8sXboUixYtwuLFi7F582akpaXh+PHjDj1Wa2wpA1vLa//+/ejfvz/GjRtnMYa5c+di165d\npu3PPvsM8+bNa1bWGo0G69atw7Bhw9CnTx8sXLgQDx8+ND1/8+ZNzJgxA35+fujbty/i4uLMHi8j\nIwOTJ082+3xcXBz27duHoqIii3E7kq1lGxISAg8PD9O2EAIFBQXN0tj7Wb148SKCg4ORmprq0HIn\nUhuDwaB0CERuiW3PxY0ZA/zwAzBkSP0K1cnJHDV2EZ26UyyE0AkhTgohNgshnlc6HkeKiopCWVkZ\nysrKYDQaMWjQIMyZMwcAMGXKFPTu3bvVR2RkJAAgPz8f3bp1w1NPPWXKMzQ0FD/++KPZY65cuRL9\n+vXDuHHjkJWV1e73UFVVhbNnz2L8+PHN9o8ZMwZffvmlTXlZ854fZUsZ2FpejZ3btowZMwalpaW4\ndOkSamtrkZaWhrlz57ZIt3fvXnz99de4evUq8vPzsXbtWgBAbW0tpkyZgqCgIBQWFuL27duYPXt2\nq8eqrq7GyZMnMXHiRLPxCCEwZ84ci/8csaSj66HR4sWL4e3tjaFDh2LAgAEtOvr2fFZzcnIQHh6O\njRs3msrQEeVOREREbqR7d+BPfwLS04F164CXXgKMRqWjonbq1J1iAHUAygB4ArilcCwdoq6uDtHR\n0QgLC8Nrr70GAPjqq6/wz3/+s9XHwYMHAdRP9fX19W2Wl6+vL8rKylo9zvr163Ht2jUYjUb89re/\nxdSpU1uMztnq7NmzCAkJgZeXV7P9RqMR3brZNnPfmvf8KFvKwJa0hYWFOHHiBOZbuZJNbGwsdu3a\nhSNHjiAkJAT+/v7NnhdCYMmSJfD390fv3r0RHx9vuuY2Ozsbd+7cwXvvvYcePXrA09MTWq221eOc\nOHECoaGh8Pb2thjPggUL8Omnn1oV+6M6uh4aJSUloby8HCdPnsT06dPx2GOPmZ6z57OalZWFl156\nCbt37zZ1sB1V7kRqpNPplA6ByC2x7bmRZ58Fzp8HRo6sf3z6KUeNOzFVdIqFEDuEEEVCiLxH9ocL\nIS4JIS4LId5q5aUnpZSTAawAsNrRcekNeojVosVDb9Bbld5cOlvEx8ejoqICGzZssOl1PXv2RGlp\nabN9paWl8PHxaTX96NGj4e3tDQ8PD8ybNw9arRYZGRmtpk1OTjZN646IiDAbw7Fjx/DCCy8021dX\nVweDweCULw1bysCWtLt378b48eMRaMWqikIIxMbGIjk5udWp042aLo4VEBAAY8N/HG/evInAwEB0\n6dJ2U83IyLBYH42Ki4vx4MEDZGdnt5nWEWz9LDYSQkCr1eLWrVvYvHmzab8tn1Wgfqr11q1bodVq\nMWHChGbPOaLcXQoX2nIZrEpyJkf83nEV1/TXlA5BNfTX3KAsPD2B//5v4OuvgY8+AiIigJs3lY6K\n7KCWX3w7AYQ33SGE6ApgY8P+EADRQoihQohYIcQHQogB8pfeRQnqR4sdSq/TQybKFg9zqyw+mr69\nqzGmpqYiLS0N+/fvR9euXU37J02a1Ox646aPxk7RkCFDUFNTgytXrphed+HCBQwfPrxdMQFATEyM\naWp3enq62XQGg6HFddCZmZnw8/PD1KlTAQDffvstzpw50+YxrXnPj7KlDGxJu2vXLqtHiYH6zlZw\ncDAOHz6MGTNmtJqm6UrUN27cwIABAwDUd9pu3LiB2traNo9z+PBhi9cTA/Xln52djYSEBOzcudO0\nXy310Jrq6up2zVoQQmDr1q0oLCzEm2++2ew5R5S7S1nt8P8tkkJWrzYoHQK5kdVZPHc0OrD6gNIh\nqMbqwkKlQ3CekSOB7Gzg178Gnn4a2LaNo8adjZRSFQ8AGgB5TbZ/DSCzyfYKACseec10AFsApAKY\nYCZf2Rpz+9UiJydH9u3bV+bm5tqdx+zZs2V0dLSsqKiQp06dkr169ZI//fRTi3QlJSUyMzNTVlZW\nyurqarlnzx7p7e0tL1++bPexHzx4IH19fWVlZaVpX0FBgQwLC5MFBQV252sra8vA2rSnT5+W3t7e\nsry8vM1jazQaefToUSmllFevXpXff/+9lFLK6upqKYSQhYWFUkopAwMD5YgRI+StW7fk/fv3pVar\nlfHx8VJKKWtra2VoaKhctmyZrKiokJWVlfL06dMtjlVQUCCDg4MtxpOcnCyXL18upZSytLRU+vv7\nN6ufjmRtPdy7d0+mpKTIsrIyWVNTIzMzM6W3t7c8dOiQlNK+z2pjPZSUlMhnnnlGrlixQkrpmHJ3\nBqeeq1R+XiTrAceVDoHcCPQ8dzT6AB8oHYJq4PhxpUNQRl6elM8+K+XEiVLeuKF0NG6j4feS3X1R\nNd+SyR9A0/kHtwD8qmkCKeVfAfy1rYwWLFgAjUYDAHj88ccxcuRIx0XZQQ4ePIiSkpJmqxtPmDDB\n4sjso5KSkrBw4ULT6rlbtmwx3dN18uTJmDBhAlasWIHq6mqsWrUKly5dQteuXTF06FAcOHCg2cJI\ntjh37hx2794NHx8fJCcnQ0qJf/3rX7h//z7279+PPn36AADOnz+Pzz//HG+//Ta6dOmC7du3o2/f\nvrh3757p+un2slQGj5ZDW2mB+lHimTNntnnd7qOCg4ObbTe9JVPj4lcvvvgijEYjpk2bhoSEBABA\nly5dcOjQIfz+979HQEAAhBCIiYnB2LFjm+WXnp5ucer0d999h2+++QY7duwAAPj4+GDatGlITU3F\n8OHDVVMPr776KrZs2YI33ngDdXV10Gg0+OijjzBlyhQAaNdntVevXjhy5AjCwsLg4eEBIQSio6Pb\nVe7O1riqaePlBw7frt/Zcflz24nbOpXFw21uu8f2SIxUVTyKbufmAmqKx1nbw4fDsG4dkJIC3dNP\nA+vXwxAUBAihjvhcZDs3NxclJSUAgOvXr6O9hFTJ0L4QQgPgkJTyPxq2ZwIIl1K+1rA9F8CvpJQ2\n3RdFCCFbe49CCIffgohsYzQasXbtWiQlJWHv3r3w9PTEzJkzlQ7L6YKCgrB9+/YW11/bIiIiAnFx\ncQgPD2878SPctR4cUe7O4NRzlRCc7uUiWJXkTGK1gEzkBw4ADMIAndQpHYYqCIMBsqET47b+53+A\n+fOB//xP4L33lI7GpTX8XhJtp2xdF0cG42C3AQxssj0QLrrCtLuqqqqCRqPB7du3cebMGdN/f8rL\ny5UNrBPS6XSm8rMV64HIFRmUDoDILeUiV+kQSE1GjKi/1vgPf1A6EmqDmqdPnwcwuGEE2QggCkC0\nkgGRYxUXF8Pb2xtCCERFReHYsWN4/PHHodFoMHjwYKXD61SWL19u92tZD2SSmKh0BOQgNqwFSNRu\nic/z3NGo//z+SoegGolW3KXDLXh4AA0LeZJ6qWL6tBAiBcDzAJ4AcA/A/5VS7hRCTALwIYCuALZL\nKf9kR96cPk1EnRbPVURERESWtXf6tCo6xR2JnWIi6sx4riIiIiKyzJWvKXYYvV5vWrWMiIjI1fE7\nj0gZbHtEzmUwGKDX69udD0eKiYhUjOcqsofBYLB78T0ish/bHpEyOH26DewUE1FnxnMVERERkWWc\nPk1ERI7hgOlHpA6sSnImvUGvdAiqcU1/TekQVEN/jWVBnQdHiomIVMyp5yohAJ4XXYIQBkipUzoM\nchNitYBM5LkDAD4UH2KpXKp0GKogDAZITiUnJ+FIMREREREREZGd2CkmIiJyOTqlAyBySyMxUukQ\niMgO7BQTERERERGR23KLTjHvU0zkOjQaDY4ePap0GEQqZ1A6ACK3lItcpUMgciuOuk+x23SK3fGe\ncRs3bsSzzz6L7t2745VXXlE6HIf5+eefMX36dPTs2RMajQYpKSl2pa2qqsKiRYug0Wjg6+uLUaNG\nITMz02xeGo0Gnp6euH//frP9o0aNQpcuXXDjxo32v7lHGI1GDBw40OH5OoIt9dDWZ1Gn06FHjx7w\n8fGBj48Phg4dajYvIQSEsHsdBbIkMVHpCMhB5s9XOgJyJ4nP89zRqP/8/kqHoBqJgYFKh0BuQKfT\nOaRT3K39oZBa+fv7Y9WqVfjb3/6GysrKdud35swZJCQkwNPTE7NmzcLDhw+Rl5eHESNG4I033nBA\nxNb53e9+h+7du+PevXv44YcfEBERgdDQUISEhNiUtqamBgEBAThx4gQCAgKQnp6Ol19+GXl5eQhs\n5UQuhEBwcDBSUlKwZMkSAEBeXh4qKys7rJOWkZGBSZMmmX1+w4YNuHv3Lt55550OOb4lttRDW59F\nIQQ2bdqEhQsXOiN0Mof38XEZn36qUzoEciN6nV7pEFQj+tNopUNQDX1QkNIhEFnNLUaKO6O0tDTT\nqJmPjw88PT0RFhZmUx7Tp0/HSy+9hCeeeMIhMY0dOxYeHh5YunQpFi1ahMWLF2Pz5s1IS0vD8ePH\nHXKMtlRUVOCLL77AmjVr4OXlBa1Wi8jISOzevdvmtF5eXkhMTERAQAAAICIiAkFBQcjJyTF7/Llz\n52LXrl2m7c8++wzz5s1rdsscjUaDdevWYdiwYejTpw8WLlyIhw8fmp6/efMmZsyYAT8/P/Tt2xdx\ncXFmj5eRkYHJkyebfT4uLg779u1DUVGR2TQdwZZ6AKz7LNpz26GLFy8iODgYaWlpABxb9kRERETk\nHtgpVqmoqCiUlZWhrKwMRqMRgwYNwpw5cwAAU6ZMQe/evVt9REZGtsjLUfc4raqqwtmzZzF+/Phm\n+8eMGYMvv/zS5vxsfR8AkJ+fj27duuGpp54y7QsNDcWPP/7YrrQAUFRUhPz8fAwbNsxszGPGjEFp\naSkuXbqE2tpapKWlYe7cuS3S7d27F19//TWuXr2K/Px8rF27FgBQW1uLKVOmICgoCIWFhbh9+zZm\nz57d6rGqq6tx8uRJTJw40Ww8QgjMmTPHbGfUGh1dD01Z+iyuXLkS/fr1w7hx45CVldVm3Dk5OQgP\nD8fGjRsRFRVl2u+Isifq7LiOBpEy2PaIOidOn1a5uro6REdHIywsDK+99hoA4KuvvrIpD0dN7T17\n9ixCQkLg5eXVbL/RaES/fv1szs/W9wEA5eXl8PX1bbbP19cXZWVl7UpbXV2NmJgYLFiwAEOGDLEY\nQ2xsLHbt2oUJEyYgJCQE/v7+zZ4XQmDJkiWm/fHx8YiLi8OaNWuQnZ2NO3fu4L333kOXLvX/k9Jq\nta0e58SJEwgNDYW3t7fFeBYsWIDIyEgsW7bMYjpzOroemjL3WVy/fj2GDRuGxx57DCkpKZg6dSpy\nc3MRHBzcavqsrCzs2LEDycnJmDBhQrP8HVH2REREROQ+OFJswTX9NRiEocXjmv6aVenNpbNFfHw8\nKioqsGHDBrvzaGukODk52TRNOyIiwmy6Y8eO4YUXXmi2r66uDgaDwWkLmfXs2ROlpaXN9pWWlsLH\nx8futHV1dYiNjUX37t2xceNGi8cXQiA2NhbJycmtTp1u1HRxrICAABiNRgD103cDAwNNnTJLMjIy\nLNZHo+LiYjx48ADZ2dltpnUUW+qhKXOfxdGjR8Pb2xseHh6YN28etFotMjIyzOaxdetWaLXaZh3i\nRo4oe6LOzh0XlyRSA7Y9os6Jvw4tCNIHQSd1LR5B+tYXDng0vbl01kpNTUVaWhr279+Prl27mvZP\nmjSp2fXGTR+tdaLaGimOiYkxTdVOT083m85gMLS4rjkzMxN+fn6YOnUqAODbb7/FmTNnrHp/tr4P\nABgyZAhqampw5coV074LFy5g+PDhdqWVUmLRokUoLi7G559/3qyczQkICEBwcDAOHz6MGTNmtJqm\n6UrUN27cwIABAwDUd9hu3LiB2traNo9z+PBhi9cTA/Xln52djYSEBOzcudO0X0310JQjZi0IIbB1\n61YUFhbizTffbPG8I8rebXGhLZfBqiRn0hv0SoegGo4YEHEV+mssC+pEpJQu/ah/iy2Z268WOTk5\nsm/fvjI3N9fuPGpqamRlZaVcsWKFjI2Nlf/+979lTU2NXXk9ePBA+vr6ysrKStO+goICGRYWJgsK\nCuyO0R6zZ8+W0dHRsqKiQp46dUr26tVL/vTTT3alff311+WYMWNkeXl5m8fVaDTy6NGjUkopr169\nKr///nsppZTV1dVSCCELCwullFIGBgbKESNGyFu3bsn79+9LrVYr4+PjpZRS1tbWytDQULls2TJZ\nUVEhKysr5enTp1scq6CgQAYHB1uMJzk5WS5fvlxKKWVpaan09/dvVj8dzZZ6sPRZLCkpkZmZmbKy\nslJWV1fLPXv2SG9vb3n58uVW82qsh5KSEvnMM8/IFStWmJ5zRNmrjVPPVSo/L5L1gONKh0BuBHqe\nOxp9gA+UDkE1cPy40iGQG2n4vWR3n5EjxSp18OBBlJSUYNy4cVZNbW5N48rA69evx549e9CjRw+8\n/fbbNsdy7tw5vPXWW/Dx8UFycjI++eQTvP/++9i2bRv279+PoIaXcMuxAAAR8ElEQVQl98+fP4+V\nK1eirq4OALB9+3YcOHAA27Zts/mYliQlJaGyshJ+fn6IiYnBli1bTPe1nTx5MtatW2dV2sLCQnz8\n8ce4cOECnnzySVM5W7rfbqPg4GA8/fTTpu2mI6CNi1+9+OKLGDRoEAYPHoyEhAQAQJcuXXDo0CFc\nuXIFAQEBGDhwIPbt29ci//T0dIv1/d133+Gbb77Bu+++CwDw8fHBtGnTkJqaqsp6sPRZrK6uxqpV\nq+Dn54d+/fph06ZNOHDgQLNFvFrTq1cvHDlyBIcPH0Ziw/11HVH2RERERORehHTQysRqJYSQrb1H\nIYTDVmWmekajEWvXrkVSUhL27t0LT09PzJw5U+mwnC4oKAjbt29vcf21LSIiIhAXF4fw8HCbX+vO\n9eCIslcbp56rhAB4XnQJrEpyJrFaQCbyAwcABmGATuqUDkMVhMEAyWusyUkafi/ZfZ2eW4wU6/V6\nLpHvBFVVVdBoNLh9+zbOnDljWmyivLxc2cA6IZ1OZ/diHawHIiIiInIHBoMBegcspOE2nWKuBtjx\niouL4e3tDSEEoqKicOzYMRw5cgR37txROrROZ/ny5ejevbtdr2U9EBFgUDoAIreUi1ylQyByKzqd\nziGdYt6nmBzmueeew3PPPQcAphV/3dE1hVdbdOd6ULrsO72Ga7Op85s/X+kIyJ0kPs9zR6P+8/sr\nHYJqJAYGKh0CkdV4TTERkYrxXEVERERkGa8pJiIiIiIiIrITO8VEREQuhotLEimDbY+oc2KnmIiI\niIiIiNwWrykmIlIxnquIiIiILOM1xURE5BgOuKUBqQOrkpxJb9ArHYJqXNPzLgiN9LwjBHUiHCkm\nIlIxp56rhAB4XnQJQhggpU7pMMhNiNUCMpHnDgD4UHyIpXKp0mGogjAYIHU6pcMgN8GRYiIiIiIi\nIiI7sVNMRETkcnRKB0DklkZipNIhEJEd2CkmspJGo8HRo0eVDsMtseyJiIiIqKOwU+yiqqqqsGjR\nImg0Gvj6+mLUqFHIzMxUOiyHunz5Mrp3747Y2FizaXQ6HXr06AEfHx/4+Phg6NChpudsLSMhBISw\n+1IFqxmNRgwcOLDDj2Orn3/+GdOnT0fPnj2h0WiQkpLS7vTW1CHgvLInch0GpQMgcku5yFU6BCKy\nQzelA6COUVNTg4CAAJw4cQIBAQFIT0/Hyy+/jLy8PAQGBtqV55kzZ5CQkABPT0/MmjULDx8+RF5e\nHkaMGIE33njDwe+gbb/73e8wevRoi50lIQQ2bdqEhQsXtniuI8rIETIyMjBp0iSzz2/YsAF3797F\nO++848So6su7e/fuuHfvHn744QdEREQgNDQUISEhdqe3pg7JiRITlY6AHGT+fKUjIHeS+DzPHY36\nz++vdAiqkajgbykiW3GkWKXS0tJMo5s+Pj7w9PREWFiY1a/38vJCYmIiAgICAAAREREICgpCTk6O\n3TGNHTsWHh4eWLp0KRYtWoTFixdj8+bNSEtLw/Hjx+3O1x6pqano3bs3fvOb37S5Mq+559tTRhcv\nXkRwcDDS0tIA1E/vXbduHYYNG4Y+ffpg4cKFePjwoSn9zZs3MWPGDPj5+aFv376Ii4szm3dGRgYm\nT55s9vm4uDjs27cPRUVFbcbpKBUVFfjiiy+wZs0aeHl5QavVIjIyErt377Y7vS112JQtZW9LuRN4\nHx8X8umnOqVDIDei1+mVDkE1oj+NVjoE1dAHBSkdApHV2ClWqaioKJSVlaGsrAxGoxGDBg3CnDlz\nAABTpkxB7969W31ERka2ml9RURHy8/MxbNgwu2OqqqrC2bNnMX78+Gb7x4wZgy+//NLm/Ox5HwBQ\nWlqKxMREfPDBB1Z1plauXIl+/fph3LhxyMrKMpvO2jLKyclBeHg4Nm7ciKioKNP+vXv34uuvv8bV\nq1eRn5+PtWvXAgBqa2sxZcoUBAUFobCwELdv38bs2bNbzbu6uhonT57ExIkTzR5fCIE5c+aY7ZC2\nxZ5yz8/PR7du3fDUU0+Z9oWGhuLHH3+0K72tddjIlrKvq6uzutyJiIiIyH1x+rTK1dXVITo6GmFh\nYXjttdcAAF999ZVNeVRXVyMmJgYLFizAkCFD7I7l7NmzCAkJgZeXV7P9RqMR/fr1szk/W99Ho1Wr\nVuHVV1/FgAED2px2u379egwbNgyPPfYYUlJSMHXqVOTm5iI4OLhZOmvLKCsrCzt27EBycjImTJhg\n2i+EwJIlS+Dv7w8AiI+PR1xcHNasWYPs7GzcuXMH7733Hrp0qf8/lFarbTX/EydOIDQ0FN7e3hbf\n14IFCxAZGYlly5ZZTNcae8q9vLwcvr6+zfb5+vqirKzMrvS21GEjW8s+IiLC6nIncjUGgwE63h+U\nyOnY9og6J44UW6C/dg3CYGjx0F+7ZlV6c+lsER8fj4qKCmzYsMGu19fV1SE2Nhbdu3fHxo0bW02T\nnJxsmqYdERFhNq9jx47hhRdeaJG/M78AcnNzcfToUSxduhSA+anRjUaPHg1vb294eHhg3rx50Gq1\nyMjIaJbGmjJqPNbWrVuh1WqbdcoaNV0cKyAgAEajEUD9FN7AwEBTx8ySjIwMi3XQqLi4GA8ePEB2\ndnabaR2hZ8+eKC0tbbavtLQUPj4+Nqe3tQ4b09ha9raUOxERERG5L7cYKdbr9dDpdDZ33PRBQTZd\nD2Fr+rakpqYiLS0N586dQ9euXU37J02ahFOnTrX6mgkTJiA9PR1AfUdi0aJFKC4uRkZGRrM8moqJ\niUFMTEyb8RgMBiQkJDTbl5mZCT8/P0ydOhUA8O2330JKibFjx7aZn7Xvo6msrCxcv37ddB1weXk5\namtrcfHiRZw/f77NYz7K2jIC6kckt27dinXr1uHNN9/En//852bP37hxo9nfAwYMAFDfYbtx4wZq\na2st5g8Ahw8fxl//+leLaTIzM3H58mUkJCRg586dGD16NADry96ech8yZAhqampw5coV05ToCxcu\nYPjw4a3mYym9PXVoT9nbUu5EroYjVUTKYNsjci6DwQCDwdD+jKSULv2of4stmduvFjk5ObJv374y\nNzfX7jxef/11OWbMGFleXt7ueB48eCB9fX1lZWWlaV9BQYEMCwuTBQUF7c7fljiKiopkUVGRvHv3\nrly2bJmcNWuW/Mc//tEibUlJiczMzJSVlZWyurpa7tmzR3p7e8vLly+b0thSRhqNRh49elSWlJTI\nZ555Rq5YscL0XGBgoBwxYoS8deuWvH//vtRqtTI+Pl5KKWVtba0MDQ2Vy5YtkxUVFbKyslKePn26\nRf4FBQUyODjYYgzJycly+fLlUkopS0tLpb+/f7M66UizZ8+W0dHRsqKiQp46dUr26tVL/vTTTzan\nt6UOG9lT9taWu9o59VyVmOi8Y1GHYlWSMyUeT1Q6BNUoSHTebyK1S3Ti70Oiht9LdvcZOa9QpQ4e\nPIiSkhKMGzfOqqnNjyosLMTHH3+MCxcu4MknnzTl0da9ZVtz7tw5vPXWW/Dx8UFycjI++eQTvP/+\n+9i2bRv279+PoIbR8fPnz2PlypWoq6sDAGzfvh0HDhzAtm3bbD6mOT169ICfnx/8/PzQv39/9OzZ\nEz169MATTzwBAJg8eTLWrVsHoP464VWrVsHPzw/9+vXDpk2bcODAAdPIpb1l1KtXLxw5cgSHDx9G\nYsMtbBoXv3rxxRcxaNAgDB482DSq3qVLFxw6dAhXrlxBQEAABg4ciH379rXINz093WIdf/fdd/jm\nm2/w7rvvAgB8fHwwbdo0pKamOqXsk5KSUFlZCT8/P8TExGDLli3N7vvctOwtpW+rDi2xpeytLXdq\nYvVqpSMgB1m92qB0CORGVmfx3NHowOoDSoegGqsLC5UOgchqQtqw8mtnJISQrb1HIYRNq95S24xG\nI9auXYukpCTs3bsXnp6emDlzptJhOUVQUBC2b9/e4pprW0RERCAuLg7h4eE2v5Zl376yVzOnnquE\nAHhedAlCGCClTukwyE2I1QIykecOAPhQfIilcqnSYaiCMBggOZ2cnKTh95J1q7e2giPF5DBVVVXQ\naDS4ffs2zpw5Y7qupry8XNnAOgl7rntvxLInouZ0SgdA5JZGYqTSIRCRHdxioS1yjuLiYnh7e0MI\ngaioKBw7dgyPP/44NBoNBg8erHR4qrd8+XK7X8uyJyIiIiKyD6dPExGpGKdPkz04fZqcidOnf8Hp\n07/g9GlyJk6fJiIix2hYvIw6v/nzlY6A3Eni8zx3NOo/v7/SIahGYmCg0iEQWY0jxUREKsZzFRER\nEZFlHCkmIiIiIiIishM7xURERC7GYDAoHQKRW2LbI+qc2CkmIiIiIiIit8VriomIVIznKiIiIiLL\neE1xOwgh+OCDDz5U/XAqvd65x6MOw6okZ9Ib9EqHoBrX9NeUDkE19NdYFtR5dOqRYlH/i3EtAB8A\n56WUu1pJ0+pIMRF1LIPBAB3vT9i5CN6n2FXwPsXkTLxP8S94n+Jf8D7F5ExCuPdI8TQA/gCqANxS\nOBYiaiI3N1fpEIjcGNsfkRKu4IrSIRCRHVTRKRZC7BBCFAkh8h7ZHy6EuCSEuCyEeKuVlw4BcFpK\nuQzAG04JloisUlJSonQIRG6M7Y9ICeUoVzoEIrKDKjrFAHYCCG+6QwjRFcDGhv0hAKKFEEOFELFC\niA+EEANQPzrc+M1f68yAOyO13ybA2fF1xPEclWd78rHntba8Ru2fI7VSc7mx7TkmH7Y9dVJzublC\n2wMAOODSUTW3PXuP4fZUPGPMVdqeI/Jl26unik6xlPIkgH8+sns0gCtSyutSymoAqQBeklLullL+\nQUppBPAFgP8SQmwAkOXcqDsftZ/QXeEExR/mv7h+/brNcbgyNbc/tj3H5KOWtlfvuo2RuC62PScc\n73r7s1Bz27Ml/V3ctTkWl8VOcYcfj51ix1HNQltCCA2AQ1LK/2jYngXgv6SUrzVszwXwKyllnI35\nquMNEhERERERUYdoz0Jb3RwZiIM5pDPbnsIhIiIiIiIi16aK6dNm3AYwsMn2QHCFaSIiIiIiInIg\nNXeKzwMYLITQCCEeAxAF4KDCMREREREREZELUUWnWAiRAuAMgCFCiJtCiFeklDUAlgD4G4CfAKRJ\nKS8qGScRERERERG5FtUstEVERERERETkbKoYKVaCEOJ/CSE2CyH+IoT4P0rHQ+QuhBAvCSE+FkKk\nCiEmKh0PkbsQQgQJIT4RQvxF6ViI3IEQwlsI8VnDd94cpeMhcie2fue5/UixEKILgM+klLFKx0Lk\nToQQjwP4f1LKV5WOhcidCCH+IqX830rHQeTqhBCxAH6WUqYLIVKllLOVjonI3Vj7ndfpR4qFEDuE\nEEVCiLxH9ocLIS4JIS4LId4y89qpAL4CkOGMWIlcSXvaXoMEABs7Nkoi1+OAtkdEdrKx/fkDuNnw\nd61TAyVyQR35/dfpO8UAdgIIb7pDCNEV9T+2wwGEAIgWQgwVQsQKIT4QQgwAACnlISnlZAAxzg6a\nyAXY1fZEvfUADkspc50fNlGnZ/f3HhG1m9XtD/W3Em28vagr/OYmUpot7c8mnb6BSilPAvjnI7tH\nA7gipbwupawGkArgJSnlbinlH6SURiHE80KIj4QQWwCkOztuos7O3rYHIA7AbwDMEkK87tyoiTq/\ndnzv9Wn4zhvJkWQi+9jS/gB8AWCmECIJvK0oUbvZ0v5s/c7r5vhwVaHpdBWg/j91v2qaQEqZBSDL\nmUERuQFr2t4GABucGRSRG7Cm7f0MgAtLEjleq+1PSvkAwEJlQiJyG+ban03feZ1+pNgM9149jEg5\nbHtEymDbI1IO2x+RchzS/ly1U3wbv1zDgYa/bykUC5E7YdsjUgbbHpFy2P6IlOOQ9ueqneLzAAYL\nITRCiMcARIHXchA5A9sekTLY9oiUw/ZHpByHtL9O3ykWQqQAOANgiBDiphDiFSllDYAlAP4G4CcA\naVLKi0rGSeRq2PaIlMG2R6Qctj8i5XRk+xNS8jIIIiIiIiIick+dfqSYiIiIiIiIyF7sFBMRERER\nEZHbYqeYiIiIiIiI3BY7xUREREREROS22CkmIiIiIiIit8VOMREREREREbktdoqJiIiIiIjIbbFT\nTERERERERG6LnWIiIiIiIiJyW/8fa+1AEENtrTUAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fce99802650>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"%matplotlib inline\n",
"from matplotlib.pyplot import figure, show, setp\n",
"from matplotlib import gridspec\n",
"from numpy import arange\n",
"from modules.analytic import Ee, RL, lambdaIC, Dic\n",
"\n",
"fig = figure(figsize=(16,12))\n",
"gs = gridspec.GridSpec(2, 1, height_ratios=[1,3]) \n",
"fig.subplots_adjust(hspace=0.001)\n",
"ax1 = fig.add_subplot(gs[0])\n",
"ax2 = fig.add_subplot(gs[1],sharex=ax1)\n",
"\n",
"nz = 5000\n",
"zmin = 2.3e-3\n",
"zmax = 4.\n",
"z = zmin*(zmax/zmin)**(arange(nz)/(nz-1.))\n",
"\n",
"ax1.plot(z,Ee(1000,z)*1e-3 ,color='k',linestyle='-' ,label=\"$E_\\gamma = 1$TeV / $E_e$ ~ %1.1f TeV\"%(Ee(1000)*1e-3))\n",
"ax1.plot(z,Ee(1,z)*1e-3 ,color='k',linestyle='--',label=\"$E_\\gamma = 1$GeV / $E_e$ ~ %1.1f TeV\"%(Ee(1)*1e-3))\n",
"ax2.plot(z,RL(Ee(1000,z),1e-15),color='k',linestyle='-' ,label=\"$E_\\gamma = 1$TeV / $R_L$ ~ %1.1f Mpc\"%(RL(Ee(1000),1e-15)))\n",
"ax2.plot(z,RL(Ee(1,z),1e-15) ,color='k',linestyle='--',label=\"$E_\\gamma = 1$GeV / $R_L$ ~ %1.1f Mpc\"%(RL(Ee(1),1e-15)))\n",
"ax2.plot(z,Dic(1000,z) ,color='b',linestyle='-')\n",
"ax2.plot(z,lambdaIC(z) ,color='r',linestyle='-')\n",
"\n",
"label=\"z=0.0308 - $D_{ic}$ = %1.2f Mpc / $\\lambda_{ic}$ = %1.2f kpc\"%(Dic(1000,0.0308),lambdaIC(0.0308)*1e3)\n",
"ax1.axvline(x=0.0308,ymin=0.,ymax=10.,color='r',linestyle='--')\n",
"ax2.axvline(x=0.0308,ymin=0.,ymax=10.,color='r',linestyle='--',label=label)\n",
"label=\"z=0.1 - $D_{ic}$ = %1.2f Mpc / $\\lambda_{ic}$ = %1.2f kpc\"%(Dic(1000,0.1),lambdaIC(0.1)*1e3)\n",
"ax1.axvline(x=0.1 ,ymin=0.,ymax=10.,color='b',linestyle='--')\n",
"ax2.axvline(x=0.1 ,ymin=0.,ymax=10.,color='b',linestyle='--',label=label)\n",
"label=\"z=0.5 - $D_{ic}$ = %1.2f Mpc / $\\lambda_{ic}$ = %1.2f kpc\"%(Dic(1000,0.5),lambdaIC(0.5)*1e3)\n",
"ax1.axvline(x=0.5 ,ymin=0.,ymax=10.,color='g',linestyle='--')\n",
"ax2.axvline(x=0.5 ,ymin=0.,ymax=10.,color='g',linestyle='--',label=label)\n",
"label=\"z=1 - $D_{ic}$ = %1.2f Mpc / $\\lambda_{ic}$ = %1.2f kpc\"%(Dic(1000,1),lambdaIC(1)*1e3)\n",
"ax1.axvline(x=1 ,ymin=0.,ymax=10.,color='m',linestyle='--')\n",
"ax2.axvline(x=1 ,ymin=0.,ymax=10.,color='m',linestyle='--',label=label)\n",
"label=\"z=2 - $D_{ic}$ = %1.2f kpc / $\\lambda_{ic}$ = %1.2f kpc\"%(Dic(1000,2)*1e3,lambdaIC(2)*1e3)\n",
"ax1.axvline(x=2 ,ymin=0.,ymax=10.,color='c',linestyle='--')\n",
"ax2.axvline(x=2 ,ymin=0.,ymax=10.,color='c',linestyle='--',label=label)\n",
"\n",
"\n",
"ax1.set_title(\"B=$10^{-15}$G\",fontsize=\"x-large\")\n",
"\n",
"ax1.set_xscale('log') \n",
"ax1.set_yscale('log')\n",
"ax1.set_ylim([0.2,40])\n",
"ax1.grid(b=True,which='major')\n",
"ax1.legend(loc=\"best\")\n",
"ax1.set_ylabel(\"$E_e$ [TeV]\",fontsize=\"x-large\")\n",
"xticklabels = ax1.get_xticklabels()\n",
"setp(xticklabels, visible=False)\n",
"\n",
"ax2.set_xscale('log') \n",
"ax2.set_yscale('log')\n",
"#ax2.set_ylim([0.2,40])\n",
"ax2.grid(b=True,which='major')\n",
"ax2.legend(loc=\"best\")\n",
"ax2.set_ylabel(\"$R_L$ / $D_{ic}$ (blue) / $\\lambda_{ic}$ (red) [Mpc]\",fontsize=\"x-large\")\n",
"\n",
"show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"$R_L$ ne dรฉpend pas du redshift (z) en premiรจre approximation \n",
"\n",
"| $\\lambda_B $ | $>R_L$ = 19 Mpc | $< R_L$ = 0.6 Mpc |\n",
"|:------------:|:--------------------------------:|:--------------------------------:|\n",
"| $>D_{ic}(z)$ | leptons coincรฉs dans une cellule | leptons coincรฉs dans une cellule |\n",
"| $<D_{ic}(z)$ | leptons coincรฉs dans une cellule | isotropisation (~) |\n",
"\n",
"\n",
"* $\\theta_{mean}$: si cas \"leptons coincรฉs dans une cellule\" => dรฉflexion moyenne tout le temps la mรชme (haute) \n",
"* $\\theta_{mean}$: si cas \"isotropisation\" => dรฉflexion moyenne plus basse\n",
"\n",
"rรฉsultats trรจs diffรฉrents des estimations analytiques!"
]
},
{
"cell_type": "markdown",
"metadata": {
"collapsed": true
},
"source": [
"## Halo size Versus EGMF"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": false,
"scrolled": false
},
"outputs": [
{
"data": {
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O1Z/qczac+XAiIiIiilRcZ76FEHkA/iCl/Gbv/lUAVkopr+3d19YmfRTegfrn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\n565TLp2i5hvVa0OfbwBAQ3X6B8s5ss61Qe6qkgpXwtvQIzx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ORd7xyDwWfb4BAADabDDY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\nAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fceb889f790>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"%matplotlib inline\n",
"import modules.arrival_angle\n",
"modules.arrival_angle.drawArrivalAngle([\"EGMF=1e-14G\",\"EGMF=1e-15G\",\"EGMF=1e-16G\",\"EGMF=1e-17G\",\"EGMF=1e-18G\"])"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[[ 0.00e+00 1.00e-12 1.00e-13 1.00e-14 1.00e-15 1.00e-16\n",
" 1.00e-17 1.00e-18]\n",
" [ 4.00e-02 5.45e-01 8.03e-01 2.74e+00 1.30e-01 4.19e-03\n",
" 3.31e-03 2.28e-03]\n",
" [ 1.40e-01 1.48e-01 1.62e-01 1.21e-01 1.69e-01 8.87e-04\n",
" 1.01e-03 9.89e-04]\n",
" [ 4.00e-01 1.40e-02 3.16e-01 9.10e-03 7.44e-04 1.83e-04\n",
" 2.43e-04 2.58e-04]\n",
" [ 1.00e+00 1.28e-03 1.57e-03 6.50e-04 1.22e-04 6.72e-05\n",
" 9.30e-05 8.11e-05]\n",
" [ 2.00e+00 1.64e-04 1.92e-04 4.56e-05 2.66e-05 5.09e-05\n",
" 7.00e-05 4.70e-05]]\n"
]
}
],
"source": [
"from numpy import zeros, size, nditer, average, savetxt, set_printoptions\n",
"from matplotlib.pyplot import figure, show\n",
"from modules.read import select_events\n",
"from modules.analytic import degre, yr\n",
"\n",
"Redshifts=[\"0.04\",\"0.14\",\"0.4\",\"1\",\"2\"] \n",
"EGMFs=[\"12\",\"13\",\"14\",\"15\",\"16\",\"17\",\"18\"]\n",
"\n",
"theta_mean = zeros((size(Redshifts)+1,size(EGMFs)+1))\n",
"\n",
"def compute_mean_delay_and_theta(i,j):\n",
" if i==0:\n",
" theta_mean[i,0] = 0\n",
" theta_mean[i,j] = 10**(-float(EGMFs[j-1])) \n",
" else:\n",
" theta_mean[i,0] = Redshifts[i-1]\n",
" fileId=\"Simulations/z=\"+Redshifts[i-1]+\"/EGMF=1e-\"+EGMFs[j-1]+\"G\"\n",
" weight, energy, time, theta_arrival, theta, phi, gen = select_events(fileId,Erange=[1,1e3],delayrange=[1e-4*yr,10*yr],powerlaw_index=1.2)\n",
" theta_mean[i,j]=average(theta_arrival,weights=weight)/degre\n",
"\n",
"it=nditer(theta_mean, flags=['multi_index'], op_flags=['readwrite'])\n",
"while not it.finished:\n",
" compute_mean_delay_and_theta(it.multi_index[0],it.multi_index[1]) \n",
" it.iternext()\n",
"\n",
"savetxt(\"Results/theta_mean_vs_EGMF-bis.dat\", theta_mean, fmt='%1.4e')\n",
"\n",
"set_printoptions(precision=2)\n",
"print(theta_mean)"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
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J1to1mR8LvRiZrQIdgbW5A4FMo4D9wN+NMTVzHf+/wIPA48Ay3ChC1xcUCIi3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\n7do10MWRYlLOgIiISBl4552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334WuXV3rwFtv4a+oOCB/O5OSXECwezfcfDO88w5UUXe4\n4grWeQZymw08ZYy5JWuBMSYSeBaYVR4FExGR4PTPhf9kb/peOp7ekZvPvhmAKlXuZMeOE4DFgKFK\nlQxiYwfRteu1AS1rMKkSVoXmdZrTvE7zArfJuqkuKo8h7XAav+76lV93/VrgsaqGVS0yj6FReKPs\nmWhnz5vNe8veY84Hc7KHpUw/kn7cjX1+T/O3pW7zOeG2euXq2TfyBSXdNgpvxIm1TvRtltxg87//\nwZ13ukBg9Gi/BQIB06aNa/no0MHlRNxxB8ycqYDAQ3xtGQgH5gHtcMnD+4C6uAnnb7LWppdnIcuD\nWgZERIpv2ZZlXPjqhYRVCmPFvSs458Rz+OgjuOkmOHr0E6pV+5QWLQwbNmQwdep1CgbKgbWWfQf3\n5Q0W8slj2JO+p8hjVTKViPglgoNJBwlrHEbaFWnUWFKDo1uOUum8SqSf6/t/7/Vr1C90bPysZV7u\n4lSktWuhXTvYvt3NMvzaa244rVDwww9w9dWwbx/cdptrEanswWAuQIK6ZcAYUwloCtwItAUuAioB\n31lrF5Zv8UrGGHMn8EquRZ2ttV8FqjwiIhWBtZYhnwzBYhl88WDOOfEc/vc/9//+0aNw1VUbGDy4\nM3/7WyfmzJnP6tUbAl3kCskYQ93qdalbvS6tTmpV4Hb7D+8vNFjYlLKJbanb2HfWPve/+nrAwIFD\nB9wwG2e4UZLyPLk/9mY/833DWg2pVtkT6YPlZ88el0i7fTt07Agvvxw6gQDAhRfC/Pnud3/nHQgL\ng+nTFRB4QJEtA5nBwEHgHGvt72V2YmNuBa4CzgfaAOHAm9baAkeiNsY0A54EOgP1gS3Ae0CstXZv\nru3CgZNy7br52NYLtQxUbOpz7m2qv+D09k9v02NOD06seSK/Df6NHRvqctllLnfwrrtg6lR376P6\n845DRw+xJWULM+bMYPTU0dQ8UJMDNQ7wr/7/olfXXtSvUb9CzJ9Q7g4dgmuvhcREaNUKvvwS6tTx\nezGC4rv3zTfQqROkpLjuUtOmucBAChXULQPW2gxjzBqgXhmf+3GgNZACbARaQsHDBhhjWgBLgRNx\nAcAvwCXAA0BnY8zl1trdmWVOBVLLuLwiIiEr7VAa//jsHwCMvXosB/fV5dprXSDQuXNo9YaoSKqG\nVeWUuqdQKaUS0x+dTv3w+uxO3c3qtatpULNBoIvnDdZC374uEGjUCD78MCCBQNBo1w4+/tgFR2++\n6QKBKVMUEAQxX3MGbgfuA3paazeWyYmNiQI2WGvXGGOuAhYBM6y1+U5Wb4z5FOgIDLbWTsq1/N/A\nQ0Cctfa+Is5ZCzgz8+NXwNO4XIhd1trj2rPVMiAi4jy+8HFGLxlN2yZtWdDtWzpEV+LHH6FtW1i0\nCMLDA11CkQDJmmGvVi1YvBguuCDQJQoOS5a4JwX790OfPu6JQSW1MhXEC0OLrsZN0lUd2AbkHhfM\nWmtLNYtGZmCwkAKCgcxWgdXAWmtti2PWhQNbca0KDa21+304D5nbZ130eGttn3y2VzAgIiFvze41\nnPvSuRw6eogvei5l9H2XMn++m1B16VI46aSijyFSIU2bBr17u5vcuXPhhhsCXaLgkpjo8igOHIB+\n/eCVVxQQFCCQwYCvNfImMA74F/Bq5ufcr/IWnflz/rErMrsEfQXUwo12VCBrbaK1tlLmKyzX++MC\nAfG2xMTEQBdBSkH1F1wemf8Ih44eomfrnkyOcYHAiSfCp5/mHwio/rxLdVcMixa5G1yAiRODIhAI\nuvqLioIPPoDq1V3LwMCBrluVBBWfUryttTHlXI6inJ3587cC1q/GdSE6k5wn/yIiUkrz18xn7q9z\nCa8aTsS3T/PSdNcb4qOPXMuASEhatQq6dIHDh90swwMHBrpEwatDB3j/fTdD8SuvuNyBF15QklEQ\n8cp4T1mZOPsKWJ+1vG5Zn7h3796ceuqp7uB163L++ednZ+pnReD6HHyfo6Kigqo8+qz68+LnI0eP\n8MAvDwDQel0PXnr1NypXbkJCAqSmJpKYqPrT5xD8vG0biR06wL59RHXpAuPGBVf5gvFzlSrw5JNE\n/fOfMGkSiVu3wsCBREVHB0f5AvB5+fLl7N3rBsJct24dgeRrzsBh8vaxz5KBG3b0V+A1a+2rJSpE\n0TkDrwJ9gb7W2in5rB8NjABGWGufKUkZCiiXcgZEJGRN+HoCD89/mMZVz2TLEz/BkWrEx7thREVC\n0v79EBUF330HF1/sugrVrBnoUnnHRx/BLbfktKg895xaCDJ5IWfgH7ihOhOAoZmvBNywoGOBn4BJ\nxph7yqOQ5Dz5L2isrqzlewtYLyEmKwoXb1L9Bd621G3EfBEDwI7pE+BINcaM8S0QUP15l+quEEeP\nunHzv/sOTj3VdX0JskAg6Ovv+uth9myoUgXGj4fhw5VDEAR87SZ0CfAva+2EXMueN8Y8CFxsre1h\njEryvG8AACAASURBVFkFDAZeL+tC4uYUgJzcgWNlDRdaUE6BiIgUw2OfP0bywWQq/3E9R/7vrwwc\n6P7fFglZQ4fCe+9B3bruCXfDhoEukTfdeCP8979u6vJnn3U5BKNHq4UggHztJpQCnG+tXXPM8jOB\nH621EcaYszPf1yp2IYruJnQ68DuwFjgjd98dY0wEbiZiC5xkrT1Q3PMXUi47atQoojL7wIqIhILv\nNn3HJZMvwR6tDC/9TNeos5g1S3MGSQh74QUYMsQ90Z4/33UVktKZPRu6dXMtLv/8Jzz5ZKBLFBCJ\niYkkJiYSGxsb9N2E0sl/2M6LMtcBhOV6X6astX/ghhU9DTg2ZT8WqAlML8tAIEtMTIwCAREJGRk2\ng/s/GILFwtcPceW5ZzFjhgIBCWHz5sGDD7r3r7+uQKCsdO0Kb73l/rj8618hGwxERUURExMT0DL4\nGgy8BrxijIk1xlxnjOlsjHkSeCVzHbi5AFb4emJjzC3GmHhjTDyQ1fh8WdYyY8y4Y3a5H9gOTDTG\nvGuMGWuMWQg8iEtgHunruaXiC/p+k1Io1V/gTPl+Bt9v/QZSGtFyx+PMneuGCC8O1Z93qe6O8cMP\ncMcdkJHhZhru2TPQJSqU5+rv9tth+nQ3EdmoUa67kPidrzkDI4GdwCPAPzOXbQZGAf/J/DwHeKcY\n524D9MJ17yHz52nA6Zmf1+ESl91Ka/8wxrQFngQ6A9dnluE/QKy1tqBhR0VExAd796cwaO4wqAL1\nfniG+fMiqFcv0KUSCZD1691EYvv3Q69e8MQTgS5RxdS9u+sq1KsXPP44VK4Mw4YFulQhxaecgTw7\nGFMHIBRuvpUzICKhwlq4cNgwltV6lrAt7fhx4Fe0Ps/XxmORCmbfPrj8cli5EqKj4ZNPoGrVQJeq\nYps2De6+2/0xGjfOJWyHgGDIGShWMGCMaY0buecTa22aMaY6cNhae7S8ChhImmdARELFw6N/Y8LB\nVlDpCK+0/ZYBN1wU6CKJBMbhw24IzAUL4JxzYOlSN4KQlL8pU+CezFHqJ0zIydUIAUE/z4Axpr4x\nJhFYDvwXyBpP60Xg2L79IgHnuX6Tkofqz7/i42HCqocg7DAd6t1d6kBA9eddIV931sK997pA4KST\n3BCiHgoEPF9/ffpAXJx7/9BDbhQnKXe+tgE/h5tt+FRgf67lCbj++yIi4kEffwz3PP0hnPUR1U1t\n3rpnTKCLJBI4Y8a4p9M1asAHH7jJxcS/+veHl15y74cMyXkv5cbXeQY2ArdYa7/PnHOgTWZCbwsg\nyVobXt4FDQR1ExKRiuy77+Cqqw9yoPd5cMJqxncaz0OXPhToYokExltvuRmGjYE5c+CWWwJdotD2\n4osweLB7HxfngoQKLOi7CQH1gT35LI/AtRhUWDExMd5vdhMROcbvv8Nf/woHWj8PJ6zmnAbnMOji\nQYEulkhgLF7sklcBxo9XIBAMBg2C/2QOWDlggJvjoQJKTEz0zDwDy8i/O1BP4NuyK07w0aRj3qQA\nzttUf+Vr2za49lrYkb6ZsA7/AuD5zs9TJaxKmRxf9eddIVl3v/7qbv4PHXJPoh94INAlKrEKV38P\nPAD//rd736+fS3CqYIJh0jFf5xmIAd4zxjTN3KenMaYVcDPQoZzKJiIiZSw11bUI/PEH1L9nOLvD\nUrn57Jvp2KJjoIsm4n87driRg/bsgRtvdCPYmID01JCCPPwwHDni5h7o08fNWBzkk795jc9Dixpj\nOgBPABcBBvgeeMJam1hupQsw5QyISEVy+LC73/n0U2h6yddsuu4yqoVVY9XAVZxe7/SiDyBSkRw4\nAB06wDffwIUXwhdfQK1agS6VFGTMGBg50s1WPH069OgR6BKVqUDmDPjaMoC1diGwsBzLIiIi5cRa\n6NvXBQINTsyg3p2D2bQbhl42VIGAhJ6MDDfj7TffwMknw7x5CgSC3WOPuZmKn3jCtQyEhUG3boEu\nVYWg6SWlQqpw/SZDjOqv7D32GLzxBtSsCQNemcrPu3+gaURTRlwxoszPpfrzrpCpu+HDISEBatd2\ncwk0bhzoEpWJCl9///ynCwYyMtzITwkJgS5RhVBgy4Ax5vAxi7L6y5hcnw1grbUVdo7urARiJRGL\niFe9+CI8/bR7kBY/cy8Df3EBwLiO46hVVU9DJcS88gqMGweVK8Ps2RAZGegSSXHExLgcgjFjoHt3\n94etS5dAl6rEEhMTAx7EFZgzYIzpnetjPWAU8BnwVeayy4GrgSettf8pxzIGjHIGRMTrEhLg9ttd\nN6GpU2FF44eZ8M0Erjj5Chb3XoxRsqSEkv9n777DoyrWB45/Z1MooSV0UQRFQBQBFRBFCaJ0RUFF\nRawo9wqCoihcC8GCCqIUseD9gTQbRUCFUF1QwIJXQEBaKFKlhIT0tvP7YzYQYsom2d2zJ3k/z7NP\ntp8XhhPOO/POzJIlZuKMy2U2F8teTlTYi9YwciS8/fa5pO72262OqkSsnDPg6aZjXwC/aa3H5Xr+\nWaCt1voeH8VnKUkGhBB2tnYtdO4MaWnwxhtwx+PbafFRC1zaxW9P/EbLOi2tDlEI/9m0CW680Syp\n9dJL8NprVkckSkJrGD7cLD0aEmI2iuvZ0+qois0Om471AL7O4/nFQHfvhSOEd1g95CZKRtqv5LZu\nNR1laWnw5JMwYoRmaPRQMl2ZPHH1Ez5NBKT97KvUtt2hQ2ZN3cREswrNq69aHZFPlNr2y4tSptzr\n6afNUml9+kB0tNVR2ZKnyUAK0C6P59u6XxNCCBEgDh6Erl0hPh5694ZJk2DxrkWs3LuSauWr8drN\n0iMqypAzZ0wicOQI3HSTKQ+S8rjSQSmzY/TgwWbTuDvugOXLrY7KdjwtE3oNeAZ4D1jvfvoGYCgw\nSWv9os8itJCUCQkh7Ob0aWjfHrZvNz+XLwcVkkqzKc3YF7ePyd0mM7jNYKvDFMI/cm6u0aQJrF8P\nERFWRyW8TWsYNAg+/BDKl4dvv4VOnayOqkjssM/AK8BJYDiQfeF/GHgZmOiDuAKGrCYkhLCL1FTo\n1cskAs2aweLFUKECvLF2PPvi9nFlrSv517X/sjpMIfxDa9NjvGwZ1KgB330niUBppZRZNi0rC6ZO\nNQngd99Bx45WR1aogF5NKN8PKFUFQGt9xicRBRAZGbAvp9MpCZyNSfsVXVaWWTVowQKoVw82bICL\nLoKD8QdpOqUpyRnJrH5wNR0b+v4/R2k/+ypVbTd2LLzwgukpXr0a2uVV7Vy6lKr2Kw6XCx5/3JSC\nVawIS5ea0jAbsMME4rO01mfKQiIghBB2oTUMHWoSgapVzRy6iy4yrz2/8nmSM5K5q9ldfkkEhAgI\nX31lEgGAWbPKRCIgAIcDPvkEHnoIkpOhe3dYt67wz5VxBe0z8BXwuNY63qMvUmoGMFxrfdyL8VlK\nRgaEEHbw5ptmh+HQUDNHoEMH8/zaA2vp8GkHygeXZ8egHVxc7WJrAxXCH9avh5tvNktpjRsHzz1n\ndUTC37Ky4OGHYfZsqFTJ/GIM8IQwUEcG7gLKFeG7egOVShaOEEKIopgxwyQCSsGcOecSgSxXFkOW\nDgFgxA0jJBEQZcOePefW1P33v+HZZ62OSFghKAg+/dTsUJyYCF26wM8/Wx1VwCqsTOiwUirDkxsg\ne9qLgGH1ZBxRMtJ+nomOhsceM/cnToS77jr32if/+4TNf2/m4qoX8/wNz/s1Lmk/+7J12506ZcpC\nsn9OmlTmlhC1dft5W1AQzJxpJlMlJJiEYONGq6MKSAWtJvRoEb9LA6WmREgIIQLZr7+ai/+sLFMa\n/dRT516LTYnlxdVm4bfxncdTIaSCRVEK4SepqWaN+d27oWVL+OILCPZ0wURRagUHm1KhrCyYPx9u\nvRVWrYKrr7Y6soBS5NWEyhKZMyCECER79sD118OJE9C/vykVytkBOnjJYKb8OoWODTqy6sFVqDLW\nOyrKGJcL+vUzCUC9eqYcpF49q6MSgSQjw4wQLFwI4eFmdamWvtuFvTisnDMgyUABJBkQQgSa48dN\nIhATA507m711QkLOvf7H33/Q8uOWKBS/D/yd5rWbWxesEP7w4oswZgxUrgw//ghXXWV1RCIQpaeb\n4dRvvoHq1U1CEED/VgJ1ArHAbDomNXj2I21mb9J+eUtMhB49TCJwzTUwb975iYDWmiHRQ3BpF0+2\nftKyREDaz75s13b//a9JBIKCYO7cgLq4s4Lt2s+fQkPNv5HseSWdOsHWrVZHhdPpJCoqytIYJBko\nRPYOxEIIYaWMDNOptXEjXHKJ2VyzcuXz3zNv+zyc+51Ur1Cd0ZGjrQlUCH9Zvhz+5d5R+4MPzARR\nIQpSrpyZO9C1K5w8aRKCP/+0NKTIyEjLkwEpEyqAlAkJIQKB1mbJ7JkzoUYNs4z6ZZed/57kjGSa\nvt+Ug2cO8lGPjxh47UBLYhXCL/74A264wawS88IL8NZbVkck7CQlBXr1ghUroE4dcDqhSRNLQ5Iy\nISGEEPl68UWTCFSsaEYEcicCAGPXjeXgmYO0rNOSAVcP8H+QQvjLkSOm1CMhwUwKHTPG6oiE3VSo\nYCYT33wzHDsGHTualajKKI+TAaXUo0qp35VSCUqphu7nnldK9fFdeEIUj9RN2pu03znvv292GA4K\nMnME2rT553v2x+3n7XVvAzC522SCHEF+jvJ80n72FfBtl5gIPXvCoUNmJv2MGeCQfs1sAd9+gaRi\nRTOZODISjh41CUFMjNVRWcKjM0gp9QQwHvgaszdB9jDGSWCwb0ITQoiybf58GGI2Eea//4Vu3fJ+\n33PLnyM1M5X7m99P+/rt/RegEP6UmQn33gu//w6NGsGiRVC+vNVRCTvLTghuvBEOHzYJwd69Vkfl\ndx7NGVBKbQVe1Vp/pZRKAFporfcqpVoAK7XWNX0dqBVkzoAQwio//GD2x0lLg9dfN6VCeVm9bzWd\nZnaiYkhFdg7eyYVVLvRvoEL4g9YweLCZKFy9OmzYkHe9nBDFkZBgelvWrYP69WHNGmjQwK8h2GHO\nwKXAz3k8nwRU8V44Qgghtm2D2283icCTT8J//pP3+zJdmQxZaoYOXrzxRUkEROn13nsmEQgNNbXe\nkggIb6pcGZYsgeuug7/+MiMEf/1ldVR+42kycBTI68y7Dih74yki4EndpL2V5fY7eNCsehcXB3fe\nCZMmnb+7cE4f/voh205s45LwSxjWbph/Ay1AWW4/uwvItluwAJ57ztyfMQPaSylcfgKy/eyiShWI\njobWrWH/fpMQHDpkdVR+4WkyMBN4RynV2P24olKqBzAWmOaTyIQQoow5fdqMVB86ZFZNnDPHTBzO\ny4mkE7zifAWA97q8R/lgqZ0WpdDPP0O/fqZMaMwYM2dACF+pWtXsX3HNNWbuQMeOZvWqUs7TOQMh\nwCdAf85NHgaTCDyhtXb5JjxrKaX0qFGjiIyMlI3HhBA+lZpq9kxauxYuvxx+/BEiIvJ//8BvBjL1\nf1PpfGlnovtFo/IbPhDCrvbuNWUbJ07AgAEwdWr+w2RCeFNsLNxyi5ms3rix2Yegbl2fHMrpdOJ0\nOhk9erRlcwaKtOmYe0nRazEjCr9prff4KrBAIBOIhRD+kJUFffua1YPq1TObitWvn//7/3f0f1w7\n9VqCHEFs+dcWLq95uf+CFcIfYmPN0qE7d0LnzvDttxASYnVUoiw5dcrsULx5MzRtahKC2rV9djg7\nTCAGQGu9T2s9V2v9ZWlPBIS9Sd2kvZWl9tMann7aJAJVq8LSpQUnAlprhiwdgkYzpM2QgEwEylL7\nlTYB0XZpadC7t0kEmjeHuXMlEfBQQLRfaVG9Oqxcaf4N7thhNig7ftzqqHwiOL8XlFIvAh51i2ut\nZfs/IYQohrffNhuLZS+S0rx5we//fOvnrDu4jlphtXilwyv+CVIIf9HalAStWWPKMr77zkzsFMIK\nNWqYhKBjR9i+3ZQOrV5tni9F8i0TUkrtp/BkQAFaa93Qy3EFBCkTEkL40syZ8NBDpgz6yy/h7rsL\nfn9ieiJN3m/CkYQjTLt9Go+0esQ/gQrhL6NGwauvQliY2WyjVSurIxIC/v7b7FS8Ywe0aAGrVpmR\nAy+yskwo35EBrXUDP8YhhBBlSnQ0PPaYuT9hQuGJAMCYH8ZwJOEIrS9ozUMtH/JtgEL424wZJhFw\nOEx2LImACBS1a5sRgchIM4fg1lvNiEFBqzzYSJHmDAhhF1I3aW+lvf02boS77oLMTHj+eRgypPDP\nxMTGMH7DeAAmdZuEQwXur+/S3n6lmWVtt3q1KQ8CmDwZevSwJg6bk3PPh+rWNf9OGzUyqwx17mw2\nhCkF8h0ZyKmA+QMaSAV2Acu11hlejE0IIUqdmBhznZOUBA88AG++6dnnhi0fRnpWOg+1eIjrLrzO\nt0EK4U/bt5sJw5mZ8OyzZtttIQJRvXrw/ffQoQP89ptZD3r5crP6g415us/AfqAmUAHIToOqASlA\novu1/cBNWutSs12bzBkQQnjT8eNmtcSYGNOp9M03ZuJwYaL3RNNtTjcqh1Zm5+Cd1K3sm/WuhfC7\nY8fMXgIHDkCfPvDVV6ZMSIhA9tdfJiHYv9/8+122rMQT3e2wtOhwYBNwudY6QmsdAVwO/A48CTQE\nTgDjfRKlEELYXGKiGRGIiYGrr4Z58zxLBNKz0nk6+mkAXr7pZUkEROmRlAS33WYSgbZtYdYsSQSE\nPdSvb0YI6teHn34yW8cnJFgdVbF5eta9AQzTWu/MfsJ9/1lgjNb6APA80N77IQpRdFI3aW+lrf0y\nMswE4Y0boWFDs1pi5cqeffb9X95n56mdNK7emKHXDfVtoF5S2tqvLPFb22VlQb9+506KxYuhQgX/\nHLsUk3PPjxo0MAnBRReZnSJ79DC9PjbkaTJQH0jK4/lk4GL3/QNA6ZhWLYQQXqI1PP64WT2oRg0z\nmlynjmefPZZ4jChnFAATukwgNMiDoQQh7ODZZ2HRIggPhyVLoFYtqyMSouguucRMKq5XzyyF27On\nGfGyGU/nDPwE/A08oLVOcD9XBZgJ1NZat1NKdQQ+0Vo38mXA/iRzBoQQJfXiizBmDFSsaDqR2rTx\n/LOPLnqU6Zum07NxT7657xvfBSmEP02aBEOHml2FV6wwtddC2Nnu3ebf8dGjZqfib74xv/SLwMo5\nA54mA62AJUAlYLv76csxk4e7a603KaUeACK01pN8Fay/STIghCiJDz6AQYMgKMhUQXTv7vlnfzn8\nC23/25YQRwjbntzGZdUv812gQvjL4sVwxx1myGzWLLOklhClwc6dJiH4+2+zD8GiRUUqfQv4CcRa\n69+BS4FhwHr3bRhwqdZ6k/s9s0tTIiDsTeom7a00tN+CBTB4sLn/ySdFSwRc2sWQpWbzgWHthtku\nESgN7VdW+bTtNm6E++4zicCrr0oi4ANy7lmoSRNTMlSrlhnx6t0bUlOtjsojHu0zAKC1TgY+8WEs\nASkqKorIyEgiIyOtDkUIYRM//AD332+ueV57DR55pGifn7V5Fj8f/pm6lery4o0v+iZIIfzpwAFT\nT52cDA8/DC+9ZHVEQnhfs2awahV07Ggmit11F8yfD+XK5fsRp9NpeRLnUZkQgFKqGtAaqE2uEQWt\n9Uzvh2Y9KRMSQhTVtm3Qvr3ZmPJf/zKlQqoIA79n0s7QeHJj/k76m1l3zuKBq6T3VNhcXJw5KbZt\nM/XUS5d6tq6uEHa1ZYv5t37qlFk+14O1pO0wZ6Ar8CVQGcjK/brWOsT7oVlPkgEhRFEcOgTt2pmf\nd9xhfv8HBRXtO4YvH847G96h3YXtWPfoOlRRMgkhAk16uqmRW7XK9JquWwfVqlkdlRC+t2kTdOoE\nsbHmP4SvvjKT5vMR8HMGMJuJzQfqaK1Dct98GJ8QxWL1kJsoGTu2X1yc2Xfm0CG44Qb47LOiJwI7\nT+5k4s8TUSgmdZtk20TAju0nDK+2ndZmeGzVKqhd2ywhKomAT8m5F0BatjRzB6pVg4ULzXyZjAyr\no8qTp8lAA+ANrfVxH8YihBC2lJoKvXrB1q1w+eXF2z9Ja83Ty54mw5XBY60e49oLrvVNsEL4yxtv\nwPTpZonFb7+Fiy8u/DNClCZXX20SgqpVzdyBBx6AzEyro/oHT8uE1gKva62X+z6kwCFlQkKIwmRl\nwb33mpKgCy6ADRvMDvVF9e2ub7nt89uoWq4qu57aRa0w2YRJ2NicOebCRyn4+muTLQtRVv38M3Tu\nDGfOmBGCWbP+MXRsZZmQp6sJvQq8o5SqCGwC0nO+qLU+4u3AhBAi0GkNzzxjEoEqVcziEcVJBNIy\n03g6+mkARkeOlkRA2NuaNfDoo+b+hAmSCAjRtq35D6JzZ/j8c5MIfPpp0WtJfcTTMqHlwFXAAmAv\ncCjH7aBvQhOi+KRu0t7s0n5jx8LkyWaRiEWLoHnz4n3PhJ8mEHM6hmY1m/Fk6ye9G6QF7NJ+4p9K\n3HY7d8Kdd5qJw0OGmJvwGzn3Ali7dmYlrbAwmD0bHnsMXC6rowI8Hxm42adRCCGEzcyaBSNGmCqI\nWbOguFuRHEk4wmtrXwNgQpcJhATJmgzCpo4fNysHnT4Nt98O775rdURCBJb27c1E+m7dYMYMCA6G\nqVPB4WnfvG94vM9AWSRzBoQQeVm2zOyflJlpqiCGDi3+d/X/uj+zt8zmzqZ3sqDvAu8FKYQ/paSY\nddV/+gmuvRacTtMDKoT4J6fTJM4pKfDEE/Dhh6igoICfMwCAUqoucDFw3s4JWuu13gxKCCEC1W+/\nQZ8+JhEYPrxkicC6v9Yxe8tsygWVY3zn8d4LUgh/crmgf3+TCFx8MXzzjSQCQhQkMtKcJz17wtSp\naItHBjw6ulKqjlLKCRwG1gPOHLfvfROaEMUndZP2FqjtFxNjOnOSkqBfP3jrreJ/V5YriyHRpp56\n+PXDaRje0EtRWi9Q208Urlht98ILZtnEqlXhu++gTh2vxyU8I+eejXTqZCablSvHso8+sjQUT1OR\n94AQ4BogGbgFeADYCXT3TWhCCBE4jh+Hrl3Nz1tvhWnTSlbmOX3TdP539H9cWOVCRrQf4b1AhfCn\nDz+Ed94xtc/z58MVV1gdkRC2MXvfPnrWrs0PFsfh6T4DR4E7tdY/KaXOANdorXcrpe4Ahmmtb/J1\noN6glBoJ9AYaA2nAT8BIrfW2fN4vcwaEECQmmnLoX3+FVq3MyomVKxf/++JS47hs8mWcTD7JF32+\noO+Vfb0XrBD+smQJ3HabKROaPh0eftjqiISwFa010fPmsfbJJ3nr5EnL5gx42q9VCTjqvh8H1HDf\n3wzYaZvMDsD7QDvMCkmZwEqlVLilUQkhAlZGBtxzj0kEGjY01z8lSQQAopxRnEw+yU0X38Q9V9zj\nnUCF8KfffzcnhssFL78siYAQxaCUQilFalqapXF4mgzsAS513/8TeFApVQ64Hzjpi8B8QWvdVWs9\nQ2u9XWu9FegP1ASutzg04WVSN2lvgdJ+WpuFHpYuhRo1zJ4xJS2H3nZ8G+//8j4O5WBS10koZUlH\nkE8FSvuJovOo7Q4eNBMfk5LMLsOjR/s8LuEZOffs5+Du3XSdPt3SGDxdTehT4EpgNfAmsAQYCGjg\nKZ9E5h9VMAnRaasDEUIEnpdfNptEVqwI334LjRuX7Pu01gyNHkqWzuLf1/6bFnVaeCVOIfzmzBno\n0QOOHIEOHeC//zWbbQghiuXxkSOtDqF4+wwopeoDrYFdWus/vB6VnyilvsKMeFyb1+QAmTMgRNn1\n4Yfw5JNmt/hFi8z1T0l9/efX9P6qN+Hlw9n91G6qV6xe8i8Vwl8yMswcgWXLoEkT2LABwqXKVghv\nUEoF/JyB82it/9Jazw/UREAp1U8plZDjdkMe73kXUx7UR674hRA5ff01DBpk7k+d6p1EICUjhWHL\nhwHw+s2vSyIg7EVrc1IsWwY1a5rJM5IICFEqWLbLgVLqLqXUZKXUD0qpM0opl1JqViGfuVApNU0p\ndUQplaqU2qeUek8pVS3XWxcBLXLcfsv1Pe8BfYGbtdb7vfenEoFC6ibtzcr2+/FHuO8+c+3z6qvw\n6KPe+d531r/D/rj9NK/VnCeuecI7Xxqg5Pyzr3zbbuxY+OQTKF/ebJZ0ySV+jUt4Rs49URxF2oHY\ny14CrgISgENAU8wchDwppS7FbHhWE1gI7ADaAkOBrkqpG7TWsQBa60QgMZ/vmQjcDXTUWu/y2p9G\nCGF727ebKoi0NBg4EF56yTvfezD+IG/++CYAk7pNIthh5a9eIYroyy9hxAgzN2D2bGjb1uqIhBBe\nVKw5A145sFKRwEGtdYxSqgNmJ+PZWusH83n/MuBW4Cmt9ZQcz48HngE+1lr/u5BjTsFslnYHZlWk\nbAla66Q83i8VREKUEYcOwfXXm4VSevUy+ycFBXnnu++ddy9fbvuSe664hy/v+tI7XyqEP6xbZ3ZK\nTUszm4s9+6zVEQlRKlk5Z8CyZOC8IExisJp8kgH3qMBuYJ/W+tJcr1UCjmFGFWprrZMLOI7L/b7c\nf9lRWutX83i/JANClAFxcXDjjbB1q0kIVq6EChW8891r9q8hckYkFYIrsGPwDupXre+dLxbC13bv\nhnbt4NQpM5v+/fdl5SAhfMR2E4gt0NH9c3nuF9wlQeuAMOC6gr5Ea+3QWge5f+a8/SMREPYmdZP2\n5s/2S02FO+4wiUDTpqYc2luJQKYrkyHRQwAY2X5kmUkE5Pyzr7Ntd/IkdO9uEoHu3WHiREkEbEDO\nPVEc+RauKqVWkHcverbs17TWurMPYsupiftnfjX+uzElRJdhRhiEEKJQLhc8+CCsWQMXXGA2FYuI\n8N73f/LbJ2z5ewsNqjXgueuf894XC+FL2Rnynj3QqpWZMxAs81yEKK0KOrsPU3AykM0fdTRV3T/j\n83k9+/ncqwqV2MMPP0yDBg3Ml1erRsuWLYmMjATOZeDyOPAeR0ZGBlQ88jjw2u/77528/z4sYvHC\n/gAAIABJREFUWBBJlSrw6qtO9u2Diy/2zvcvil7EC1+/ABfA+M7j+Xndzz798wTSYzn/7PlYa82v\n0dF0+PBD1qxbBzVqEPntt1CpUkDEJ4/lcWl6vGnTJuLi4gDYv38/VrLLnIGpwABggNZ6Wh6vvwGM\nBEZqrd/2YlwyZ0CIUmrsWHjhBQgNNSMCHTsW/pmiGPTdID7Y+AGdGnZiRf8VKCmxEAEuet48lvXr\nR9f0dLpUrmwmDzdvbnVYQpQJMmegcNk9/1XzeT37+Tg/xCJsIDsLF/bk6/abNcskAgAzZ3o/Edh8\nbDMf/fYRQSqIiV0nlrlEQM4/e5n98cf0vOIKfhg0iNvT01kL9AwPZ/b69VaHJopIzj1RHB4XAbp7\n7+8H6gPlOH/OwM0+ie6cHe6fTfJ5/TL3T9k3QAhRoOXLz20k9t570Levd79fa83Q6KG4tIshbYZw\nRa0rvHsAIbys32OPUX3JEtZu344CXOHhDB4/ni59+lgdmhDCDzwaGVBKPQCsAGoBN2N66usCrYC9\nPovunO/dP29VubrYlFKVgRuAJOAnbx84KipKMm0byq7LE/bkq/b73/+gTx/IzITnnoOnn/b+MeZu\nn8uaA2uoUbEGUZFR3j+ADcj5ZyNxcajbb0ctXkwqsLhOHVIyM1FKlbkRrdJAzj37cTqdREVFWRqD\np2VCzwPPaK3vANKAZ4ErgHnAQR/FdpbWei9mWdGGwKBcL48GKgKztNYp3j52VFSUnFxClAJ790K3\nbpCYCP36wdtem110TlJ6Es8tN6sGjbl5DOEVwr1/ECG8ZedOuO46WLqUgxUq0DUqivFHjtBt+nQO\n7t5tdXRClAmRkZGWJwMeTSBWSiUBV2qt9ymlTgGRWus/lFLNgJVa6wuKfGCl7sDsBAxQB+iMGWX4\n0f3cCa318BzvvwRYjxmdWIQpHWoLRAI7geu11qeLGkchMcoEYptyOp2SxNmYt9vvxAmzmdiePXDL\nLfDdd2bisLe98v0rvLb2Na6uezW/DPiFIIeXtjC2GTn/bGDpUrjvPoiPN5OEFy2Chg2l7WxO2s++\nrJxA7OmcgTigkvv+UUzt/h+Yjb6qFPPYLYAHObc0qcb0/F/ifrwfOJsMaK33KqWuBV4FugLdgSPA\nBGC01jq/ZUeFEGVYUhL06GESgZYtYf583yQC+07vY+y6sQBM6jqpzCYCIsBpDe+8Y2bQaw133mlm\n0VeqVPhnhRClkqcjAwswIwAfKKXeAvoBszE9+we01l19G6Y1lFJ61KhRRLrXzRZC2EtGhtk7ackS\naNAANmyAOnV8c6w+X/VhwZ8L6Ne8H7N7z/bNQYQoiZQUeOIJmO3+9xkVBS+/DA67LCwoROnjdDpx\nOp2MHj3aspEBT5OBhkCY1nqrUqoiMA64EVOe84zW+pBvw7SGlAkJYV9aw4ABMG0aVK8O69dD48a+\nOdbKvSu5ddathIWEsXPwTupVqeebAwlRXIcPm8x440YICzOjAb17Wx2VEMIt4PcZ0Frv01pvdd9P\n1loP0lpfpbW+u7QmAsLeZAUoe/NG+73yikkEKlQwcwR8lQhkZGUwNHooAC/d9JIkAsj5F3A2bIBr\nrzWJQPYQWT6JgLSdvUn7ieLwdGnRWUqpW3wdjBBCeMNHH8Hrr0NQEHz1FbRt67tjffDrB2w/sZ1L\nwy/lmeue8d2BhCiO6dMhMhKOHTM/f/1VdhUWQpzH0zKhpcAtmMnDc4AZWusdBX/K/qRMSAj7WbjQ\n7CXgcsEnn5hSIV85kXSCyyZfRnxaPIvvXcxtTW7z3cGEKIrszTQmTjSPBw+Gd9+FkBBr4xJC5MkO\nZULdMDsPT8Ks4rNdKfWLUmqQUirClwFaTTYdE8I+1q0zqyW6XDB6tG8TAYAXV79IfFo8XRt1pWfj\nnr49mBCeio01m2pMnGgu/qdOhcmTJREQIgAFwqZjHo0M/ONDSrXELAt6LxChtS7v7cACgYwM2Jes\ntWxvxWm/7duhfXs4fdosmPLRR+DLDVR/O/IbrT9pTZAjiK3/3kqTGk18dzCbkfPPQtu2Qa9eEBMD\ntWqZtXTbt/f449J29ibtZ18BPzKQBw24AOW+CSGEZQ4fhq5dTSJw++0wZYpvEwGtNUOih6DRDG07\nVBIBERgWLTI7CsfEQKtWZn5AERIBIUTZ5PHIgFKqLmZ/gf5Ac+A3YCbwmdb6lM8itJCMDAgR+OLi\n4Kab4I8/oF07WLkSKlb07THnbJnDA18/QO2w2ux6ahdVyhV370UhvEBreOMNs2cAQN++ZiktX58I\nQgivCfgdiJVSy4BOwDHMZmP3aa23+zIwIYQoTFqa2UD1jz+gaVP45hvfX/8kpCUwfIXZHP2tW96S\nREBYKykJHnkE5s41w2FvvAEjRvh2aEwIUap4WiZ0EugG1Ndaj5BEQAQ6mfRtb560n8sFDz4ITifU\nrQvR0WZzMV8b88MYjiYepU29NjzY4kHfH9CG5PzzkwMHTBnQ3LlQuTIsXgwjR5YoEZC2szdpP1Ec\nHo0MaK37+TqQQBUVFUVkZKRMyBEigGgNw4aZPQSqVIGlS+Hii31/3D2xe3j3p3cBmNxtMg5V3GlX\nQpTQ2rVw111w4gQ0amQSgcsvtzoqIUQROZ1Oy5O4fOcMKKXuB+ZrrdPc9/Oltf7MF8FZTeYMCBGY\nxo2D5583KyVGR8PNN/vnuLd/fjvf7PqGh1s+zPRe0/1zUCFy++gjeOops5dA587wxRcQHm51VEKI\nErByzkBByYALqKO1Pu6+ny+tdansHpNkQIjAM3s29O9v7n/+Odx7r3+Ou3T3Urp/1p3KoZXZ9dQu\n6lSq458DC5EtPR2GDjXJAJjhsbffhmCPBvmFEAEsIJcW1Vo7tNbHc9zP9+a/cIXwjNVDbqJk8mu/\nFSvMXEkwm6n6KxFIz0rn6WVPAzCqwyhJBAoh558PnDgBt95qEoFy5WDGDBg/3uuJgLSdvUn7ieIo\n9EJeKRWqlPpcKXWpPwISQoi8/O9/0Lu3qYx49ll45hn/HXvSz5PYdWoXTao34am2T/nvwEIAbN4M\nrVubeQJ168KaNWb2vBBCeIFH+wwopeKAVlrrfb4PKXBImZAQgWHvXrj+evj7b7j/fpg1Cxx+GpM8\nlniMxpMbk5CewNJ+S+naqKt/DiwEwLx58NBDkJwMbdrA11/DBRdYHZUQwssCskwolyWYpUXLnKio\nKBl2E8JCJ06Y3YX//hs6dYLp0/2XCACMXDWShPQEbmt8myQCwn9cLnjlFbj7bpMI9O9vRgQkERCi\nVHE6nURFRVkag6cjA08Bo4CvgV+ApJyvy2pCItA4nU5ZDtbGstsvKcmsFPTLL9CypbkWquLHPb5+\nPvQz1/3fdYQGhbLtyW00imjkv4PbmJx/JZSQYC7+Fy0yme+4caYuzg8biUnb2Zu0n30F/A7EwET3\nz8fct9xKZTIghLBOZib07WsSgQYNYMkS/yYCLu3iqaVmfsCz7Z6VRED4R0wM9OoF27ZBtWpm2dAu\nXayOSghRink6MlAeyNBaZ/k+pMAhIwNCWENrGDAApk0zuwqvWwdNmvg3hum/T+fRxY9yQeUL2Dl4\nJ5VCK/k3AFH2rFoF99wDsbFmA7FFi+Cyy6yOSgjhBwE9Z0ApFQIkAk19H44QoqzTWtO+/VimTdNU\nqADffuv/RCA+NZ6Rq0YCMPaWsZIICN/SGiZNMiMAsbHQowf89JMkAkIIvyg0GdBaZwCHPHmvEIFC\nJn3bR0oKHDwImzbBypXQt+8y1q//BaWW89VXcN11/o/ptbWv8XfS31x/0fXc37zADdhFHuT8K4K0\nNDMMNnQoZGXByJFmRMCfNXE5SNvZm7SfKA5P5wyMB6KUUv211sm+DEgIYV8pKXDypLmdOuXZ/eSz\nv1FmA18ALYBB1Kq1khdemMzhw/cycOADfvsz7Di5g4k/T0ShmNxtMsoPkzZFGXXsmNk8Y8MGqFDB\n1MX5ayc9IYRw83TOwAqgDZAF/AnkTAi01rqzb8KzlswZEGVZUS/sT540nymq0FAzL6B6dY3LFc2+\nfWtJSXmTiy4aybvvdqBPny5+uyDXWtNtTjeWxSzj8asfZ+ptU/1yXFEGbdwId94Jhw7BhRea0YCr\nr7Y6KiGEReywmtBhzLKieSnVV8tRUVFERkbKUl3C1pKTPe+pL+mFfY0a5uK+Rg3P7leqlL1iomLe\nPMWjj6bSrNkwDh50oZTya8/8t7u+ZVnMMqqWq8obN7/ht+OKMuazz+CxxyA1FW64AebPh9q1rY5K\nCGEBp9NpeXmXRyMDZZWMDNhXaV5rOTm5aGU4Jb2wL8rF/bkL++J5881PaNy4PhERocTGprN790FG\njBhQ/C8sgtTMVK744Ar2nt7LxK4TGdJ2iF+OWxqV5vOvRLKy4D//gbFjzeMBA2DKFHOyBQhpO3uT\n9rMvO4wMCCF8IPvCvigX98W9sK9ZM+8L+fwu7sPC/LLH0XlGjnwcMP+h9enj37XV39vwHntP7+WK\nmlfw72v/7ddjizIgLg7uvx+WLoWgIJg4EZ580v8nmRBC5OLxyIBS6mHgfqA+UA5THqQwcwYu8VWA\nVpKRAVEURb2wP3nSVAkUVblyRe+xt+LC3k4OnzlMk/ebkJSRxMr+K+l0SSerQxKlya5dcPvtsHOn\nOSHnzoWOHa2OSggRQAJ+ZEApNQwYDUwDbgL+CzTGTCqe5LPohCgGrTUjR47jzTeHF6veXOvi1diX\n9MLe04v7ihXlwt7bXlj5AkkZSfS+vLckAsK7oqPNCkHx8dC8uZko3LCh1VEJIcRZnpYJPQH8S2s9\nRyn1KPCu1nqvUup1INx34QlRdPPnL2PSpF9o3Xo5vXt3KVaNfXEv7PMrxcnvvlzY582fda/r/lrH\nnD/mUD64POM7j/fLMUs7qVvG9Cq88w6MGAEul1k5aOZMM7EmgEnb2Zu0nygOT5OB+sCP7vupQGX3\n/ZnAeuApL8clRKFcLvj7bzhwwNy+/HI2TucXpKe3ICVlEH37rsTlmozW9wJFW6e+fPmil+LIhb39\nZLmyeGqp+fX1/PXP06BaA2sDEqVDSgo88QTMnm0eR0XByy+DQ/buFEIEHk/3GTgA9NJab1JKbQIm\naK0/VUpFAou01lV9HKclZM6AtTIyzBLc2Rf7uW9//QXp6Tk/oYFoYC3wJjAS6EC5cl2oWVMVuRRH\nlH5Tf5vKwG8HclGVi9gxeAcVQ6ThRQkdPgx33GH2EQgLgxkzoE8fq6MSQgS4gJ8zAPwAdAE2YbYI\nnaCU6gJ0xFx9CVFkSUnmgj6/i/0jR0zvf0Fq1ICLL86+KU6fVnz5ZSp16gzjxAkXH3+suP9+6a4X\n/3Q65TQvrn4RgHc6vyOJgCi5n34y5UDHjkGDBmZ+wFVXWR2VEEIUyNNkYDBmBSGAsZidiG8CZgGv\n+SAuYXNaw+nT+V/oHzhgavML4nCYjTnPXeyff6tf33S85fTmmweZNavreevUC/vxR91rlDOKk8kn\n6XBxB+5udrdPj1XWlMm65U8/hYEDzXBlZKRZMahGDaujKrIy2XaliLSfKA6PkgGtdVyO+y5gnPsm\nyiiXy3R+FXSxn5hY8HeEhpoL+vwu9i+8EEJCihaXlevUC/vYenwrU36dgkM5mNRtkl93ORalTGYm\nPPec2TcAYPBgePfdov/yEkIIi8gOxAVQSulRo0YRGRlZ5jLt9PSC6/UPHsxdr/9PlSvnf6F/8cVQ\nu7bMpxP+p7Xmllm3sHrfaga1HsT73d+3OiRhV7Gx0LcvrFxpLv6nTIHHH7c6KiGEjTidTpxOJ6NH\nj7ZszoAkAwUozROIk5IK7tU/csSU+hSkZs2CL/arVZPVdUTgWfDnAvp81YeIChHsfmo3ERUirA5J\n2NG2bdCrF8TEmF+GCxZA+/ZWRyWEsCk7TCAWNqK16bAq6GL/1KmCv8OTev1AXnFH6ibtzVftl5KR\nwrBlwwB4vePrkgj4SKk//xYvhn79TC1kq1awcKH5pVgKlPq2K+Wk/URxSDJgQ1lZcPRowSvxJCUV\n/B3lyhVcr1+vnpS8itJn3PpxHIg/QIvaLXjimiesDkfYjdYwZozZM0BrUyI0bVpg94wIIUQhpEyo\nAFaVCaWlmZr8/C70Dx0ya/AXpEqVgkt4atWSen1RthyIO0DTKU1JzUxlzcNruOnim6wOSdhJUhI8\n8ohZJUgpeOMNs7uw1EIKIbzAFmVCSqlHMTsNNwKu0lrvU0o9D8Roref7KsDSKCGh4BKeY8cKr9ev\nVavwen0hxDnDVwwnNTOVvlf0lURAFM2BA2YjsU2bzMoIn30GPXtaHZUQQniFR8mAUuoJ4G3gPcy2\nrtmZy0nMHgSSDLhpberxc1/g799/7v7p0wV/h8MBF11UcL1+hQp++ePYltRN2pu328+538nc7XOp\nEFyBcbfKqsi+VqrOv7Vr4a674MQJaNTIbCTWrJnVUflMqWq7MkjaTxSHpyMDQ4CBWuuvlFLDczz/\nGyZJKLW01uetQZ5dr19Qz35ycsHfWb584fX6wTKbQwivyHRlMmTpEAD+c+N/uKjqRRZHJGzj44/N\nvgGZmdC5M3zxBYSHWx2VEEJ4lUdzBpRSKUBTrfUBpVQC0EJrvVcp1QjYprUuV8hX2JJSSt99dzQV\nK3Y5b339zMyCP1e1auH1+lJmKoR/TPllCoOXDqZhtYZsH7Sd8sHlrQ5JBLqMDBg6FD780DweNgze\nflt6aYQQPmOHOQNHgcuAA7mevw7Y69WIAszcuWuBycC9wAOA2SyroIv9qlWtjFgIke1U8ile/v5l\nAN7t8q4kAqJwJ06YsqC1a8026Z98Ag8+aHVUQgjhM54mAzOBd5RS97gfV1RK9QDGYuYRlFpVqri4\n//7B3HlnFxo0MLX8Uq8f+KRu0t681X4vf/8yp1NPc8slt9CrSa+SByY8Ytvzb/Nms5HYgQNQty58\n/TW0bWt1VH5l27YTgLSfKB5Pk4E3gAbAn5jJw1vcz08Dxns/rMChdQq33KLo3FnqeoSwk03HNvHx\nbx8TpIKY2HXieXN/hPiHefPgoYfMpK82bUwicMEFVkclhBA+V6R9BpRSDYFrAQfwm9Z6j68CCwRK\nKT1vXjS7dx9kxIgBVocjhPCQ1poOn3bgh79+4Om2T/Ne11I9gClKwuWCqCh47TXzuH9/mDrVrPQg\nhBB+YuWcAdl0rABWbTomhCiZL7Z+wX3z76NmxZrsemoX1crLxhsiDwkJZj7AwoVmTedx4+CZZ2SF\nByGE31mZDHi0B61S6hOl1NQ8bh8rpSYqpQYppWr6OlghPOV0Oq0OQZRASdovKT2J4SvMCshjOo2R\nRMACtjj/YmKgXTuTCFSrBkuWmFWDyngiYIu2E/mS9hPF4emcgcuAlkAIsBMzb6AxkOF+/DDwmlKq\nvdZ6uw/itExUVBSRkZEyIUcIm3jrx7c4dOYQ19S9hkdaPmJ1OCIQrVoF99wDsbHQtKnZSKxxY6uj\nEkKUQU6n0/IkztN9Bp4EegAPaK1Pu58LB2YB3wGzgS8BtNbdfRatn0mZkBD2svf0XppNaUZaVhrr\nHl3H9Rddb3VIIpBoDZMnmxGArCzo0QPmzJH1oIUQlgv4MiFgBPCf7EQAwH3/RWCE1joBGI2ZXCyE\nEJZ4dvmzpGWl0f+q/pIIiPOlpcHjj5vNxLKyYORIMyIgiYAQoozzNBmoiSkRyi0EqOW+fxwI80ZQ\nQpSU1UNuomSK034rYlawcMdCwkLCeOuWt7wflPBYwJ1/x47BzTfD//2f2Sjm889hzBgICrI6soAT\ncG0nikTaTxSHp8nAD8BkpdQl2U+47090vwZwObDfq9EJIYQHMrIyGBo9FICXb3qZCyrL+vDCbeNG\naN0a1q+HCy+EH3+Ee++1OiohhAgYniYDA4EKwB6l1HGl1N/AHqAi8IT7PUHAq94PUYiikwnf9lbU\n9pvy6xT+PPknjSIa8fR1T/smKOGxgDn/PvsMbrwRDh2CG24wicHVV1sdVUALmLYTRaa1JnrdOmSu\noygqj1YT0lrvU0q1Am4Bmrmf3q61XpHjPd/4ID4hhCjQ8aTjjHKOAmBClwmUCy5ncUTCcllZ8J//\nwNix5vGAAfD++1BO/m2I0mv+d9/xwR9/0HrJEvr06GF1OMJGPB0ZQBsrtNYT3bcVhX9KCGtI3aS9\nFaX9Xlz1ImfSztCtUTd6NJb/AAOBpedffDzcfrtJBIKCTBIwdaokAh6S35328960aVwYGcljc+eS\n0LYtj8+dS+2bbqLfhAl8efw4y2Nj+fXMGfYkJxObkUGWjByIXDzdZwClVATQFagPhOZ8TWst5UFC\nCL/beGQj//f7/xHiCOG9Lu9ZHY6w2q5dJhHYuROqV4e5c6FjR6ujEsKrXFqzKTGRJadOsTQ2lg0N\nG6K7dYMtW0ApTmdkQM+efNaiBZ9tz3vrp6pBQYSHhBAeHHzu5sHjasHBBJXxjflKI0/3GWgNRGM2\nG6uKWTmoFpACHNVaX+bLIK0i+wwIEbhc2kX7ae3ZcGgDw68fzthbx1odkrBSdLSZGBwfD1deCYsX\nQ8OGVkclhFeczshgxenTLI2NZempU/ydkXH2tWClaPLHH+xZu5bw0FBi09Pp1rUrtW64gdOZmcRm\nZHA6M9PcMjKIz8oqUSySSPiGlfsMeDoyMA5YgJlIHA+0B9KAzwHpjhNC+N2cLXPYcGgDdSrV4aWb\nXrI6HGEVreGdd2DECHC54M47YeZMqFTJ6siEKDatNZsTE1kSG2t6/+PjyXkJf2G5cnSLiKBbRASd\nwsOZsnUrjR96iN7du7NgyRJ2HzjAiCZN8vzuLK2Jz5EcnE0UCngcmyORyL7tL8afq0pQEOHBwUTk\nTBYkkbCcpyMDcUA7rfWfSql4oK3WeodSqh0wTWt9ua8DtYKMDNiX0+mUVTFsrLD2S0hLoPH7jTmW\neIwZd8zgwRYP+i84USi/nX8pKfDEEzB7tnk8ahS88go4PJ4OJ3KR353Wic/MZEVsLEtiY4mOjeVo\nevrZ14KV4oYqVehevTrdIiK4MiwMlcfFsa/brziJRPYtPjOTklxRZScS2clCRClLJOwwMpAFZLrv\nHwcuAnYAJ4EG3g9LCCHy98YPb3As8Rht67XlgasesDocYYXDh80owK+/QlgYzJgBffpYHZUQHtNa\nsyUpiaXu2v91uXr/LwgNpVtEBN2rV6dTeDhVgz2e5ukzQUoRERJCREiI2cCvCLK05kyOUYaiJhJn\nsrI4k5XFgbS0IsedO5HIvhU2QmGXRKKkPB0ZcALva63nKaVmARcCb2H2GLhUa93Sp1F6iVJqECbm\nBu6ntgGva62X5PN+GRkQIsDsPrWbKz64ggxXBr8M+IXW9VpbHZLwt59+MonAsWPQoAEsWgRXXWV1\nVEIUKj4zk5WnT7P01CmiY2M5nKP3Pwi4oWpVU/5TvTpX5dP7XxZlJxLZyUHueRD+HJHInTzkN0JR\nlERCa43D4Qj4kYE3gDD3/VeAb4GlwAngbh/E5SsHgeeB3ZhlVR8GFiqlrtFa/2FlYEIIzzyz7Bky\nXBk82vJRSQTKok8/hYEDIT0dIiPNikE1algdlRB50lqzNSmJpbGxLDl1inVnzpCZo5Oxrrv3v1tE\nBLeEh1MtJMTCaANXkFLmgrsYfz+5E4nc8yCsGJHI/XibxUv6ejoyUA7I0Fq7cjxXHTid8zk7Ukqd\nAkZorT/J4zUZGbApqXu1t/zab8nuJfT4rAdVylVh1+Bd1K5U2//BiUL55PzLzITnnoOJE83jQYPg\nvfdALp68Sn53llxCdu+/e/LvoRwXkUFAO3fvf/eICFpUquTV3n9pP+/KL5HI+Ti2JCMSK1bA6tVw\n6aUwZ07gjgwopUKAJKAFpqwGAK31KR/G5XNKqSDMqEYYsN7icIQQhUjPSufp6KcBGNVhlCQCZUls\nLPTtCytXmov/KVPg8cetjkoIwPT+b09OPrvu/4/x8WTk6EisExpKV3fv/63h4cXq3RbWKMmIhCvn\nZOv8Eon+/fmjXj1+X7+eoo87eI+nIwP7gdtKQymNUqo5sAEoByQC92utl+bzXhkZECJAjFs3judX\nPk/TGk3Z/K/NhAaFFv4hYX/btkGvXhATAzVrwoIF0L691VGJMi4xM5NVcXEsPXWKJbGxHMzR++8A\n2lWpQjf3yj8tK1XCIbX/Ih/zvv2WR2fPJuHLLy0bGfA0GXgKiAT6a62TfR1USSml+gEf5Xiqq9Z6\nnfu1EMxqSFUxIwOPA5Fa6215fI8kA0IEgKMJR2n8fmMS0xNZ9sAyOl/a2eqQhD8sXgz9+kFiIrRq\nBQsXQv36VkclyiCtNX8mJ5/d9Gttrt7/WiEhdHWv/HNreLhZbUcID7w5ZQqNGzTgrp49Az4ZWAG0\nwSwx+ieQMyHQWusi/8+slLoL6AC0xJQgVQLmaK37F/CZC4FXga5ABHAUWAiM1lrH5XhfJcwOydmO\naK1TC/izHdBaD8jjNUkGbErqJu0td/s9tPAhZm6eSa8mvVh470LrAhMeKfH5pzWMGQMvv2zu9+0L\n06ZBxYpei1HkTX53npOYmcnquLizCUDOCaQKuK5KlbNLf7YKkN5/aT/7ssM+A4eBr/N5rbhXyy8B\nVwEJwCGgaUHfpZS6FFPbXxOTAOwA2gJDga5KqRu01rEAWutETAmQJ4IAqTcQIkD9dOgnZm6eSWhQ\nKOM7j7c6HOFrSUnwyCNmlSClTFIwYoS5L4QPaa3Z6e79XxIby9q4ONJzdAjWdPf+d4uIoHNEBNWl\n91+UEh4lA1rrh31w7KeBg1rrGKVUB+D7Qt7/ASYReEprPSX7SaXUeOAZzPKn/y7oC5RSb2GWRT0E\nVAbux4xOdC/uH0IEHq010Wui6dChg6zRbFPZPVsu7eKppU8B8Fy757g04lILoxKeKnbP5IEDcMcd\nsGkTVK4Mc+bAbbd5NTZRsLLWq5yUlcX37pV/lsTGsj/1XBGBAtpWrky36tXpHhHBNZUn4iQWAAAg\nAElEQVQrB0Tvf0HKWvsJ7yjSdnZKqauAy4BorXWSe8nRTK11ViEf/QettTPnVxdy3EuBW4F9ORMB\nt1HAQOABpdSzhcxpqA3MBuoA8cBmzHyCFQXEKReUNjP/m/l8sPoDWl/dmj63yY6kdvbppk/ZeGQj\n9SrXY+SNI60OR/jSDz+YHYRPnIBGjcxGYs2aWR2VKGW01uxOSTm78s+auDjScvT+1wgJoUt4ON2q\nV6dLeDg1QqVwQJR+HiUDSqkIYAFwE6aU5zJgLzAFOAMM81WAbh3dP5fnfkFrnaiUWodJFq4DVuf3\nJVrrR4p64AXfLijyBaXWGo3GpV2W3rJcWZbHUOQbxY//4A8HObT+ELq2JqVhCg9OeJBH/vMIV9x8\nBa06tyIsJIyw0LDzflYKrfSP53L+lBVrrOF0Oml1XStGrjIJwLhbx1EptJLFUQlPFblu+eOPYfBg\ns5dA587wxRcQHu6z+ET+SmPNeXJWFs64uLMJwN5cvf9tKlc+u+vvtZUre7xrbCAqje0nfM/TkYF3\nABfQgBx7DQDzgHfxfTLQxP1zVz6v78YkA5dRQDJQHH3f6QvDoULLCpS7upxHF6W6RBtfi2KrB7QC\nDpiHyenJ0AJ+Cv+Jnzb+VKyvDHYEn00MKoVWyjtpKEaSERZiEg0Zdcrfq2te5XjScdrXb8+9V95r\ndTjCFzIyYOhQ+PBD83jYMHj7bQgu0qC1EP+wO3vln9hYnHFxpLrO7Y8aERxMF/emX10iIqgpvf+i\njPP0N25n4A6t9V+5Ll52A/5Y562q+2d8Pq9nP1/N2wfO+jML6kDisUQSVyeaAqOG7hf3uX/m8Vih\nUPsVSimCLwnGoRzofabkKPTSUBzKQdbeLJRSlG9UHodykBGTgVKKipdVxKEcpO1JQylFpcaVcCgH\nKbtTUEpRpUkVHMpB0q4klFJUa1oNh3KQsDMBpRQRl0cQ5AgibkccDuWgRrMaOJSD2D9jcSgHta6o\nhUM5OLn9JA7loM6VdXAoB8e3HcehHFzQ/AIcODi29RgO5eDCqy7EoRwc+eMIDuWgfov6OJSDQ1sO\n4VAOGrRsgEM5+GvzXziUg0taXYJDOdi/aT8O5aDR1Y1wKAd7f9+LQzlofE1jHMrBnv/twaEcNL22\nKQ7lYNdvu3AoB81aNyPIEcSOjTtwKAdXtrkSh3Kw/dftOJSDq9pehUM52PrLVhzKQcvrWuJQDrb8\nvIUtSVuY+9dcav5dk6NxR+l1dS+639GdpPQktvy8hZTMFGo2q0lSRhIxv8eQmpFKxcYVSUpP4tjW\nY6RmpqIbaJLSk0jYmUCmziS+YTzxafEFtndxHjv2OygfUp5qTasRFhKGa5+LCsEVuOCqCwgLCSNh\nVwIVgitw2dWXERYaxrGtx6gQXIFW7cwoR8zvMZQPLk/7m9oTFhLGlp+3UD64PF1u6UK5oHKsWbMG\nOFdD6nRvd26Hx7WvqM2EFyaACyY9MQmlVEDFJ48LfhwZGVn4+xcuhKgoIjdvhtBQnM88A127EulO\nBALpzyOPA//xslWr2JyYyKFmzVgaG8ueDRsAoGVLABrv3EnbKlV4snt3Wlepwg9r1sDx49QMkPjl\ncdl7vGnTJuLizEKY+/fvx0qeLi2aDDR3T/ZNAFporfcqpVoCa7XWVUoUhFKRmB792VrrB/N4fSow\nABigtZ6Wx+tvACOBkVrrt0sSS67v1ZVurMR7g9/j9h6341AOj24KJT2+Fnlz4ps0vqQxvXv2ZsG3\nC9i9bzcjhowo1ndprUnPSicpI4mk9KRCfyamJ57/XAHvT0xPJNOV6eU//TkO5Sh8hKKYIxrlg8v7\n9N+3y+Xi0nsvZX+z/Qy8diAf9fyo8A8Je9m82WwkduAA1K0LX38NbdtaHZWwmZiUlLObfn2fq/c/\n3N37383d+187VHr/RWCzw9Kiv2PW9s89ebc/8LNXI8pbds9/1Xxez34+Lp/Xi+3T4Z+ye99uaoXV\nKvzNwnIjh5oac6fTWeLJw0opygWXo1xwOSIqRHgjvPOkZ6V7lGRkJw+eJBnZP9Oz0klITyAhPcHr\ncTuUg4ohFfMvm8on2Sj0/aFhVAiuwIiPR7B/634qVqrI68+/7vX4he85C6pbnj8fHnwQkpOhTRuT\nCFxwgV/jE/krsO0slpqVxZr4+LMJwO6UlPNev7pSJbq7d/1tU7kywQ6HRZFaJ5DbTwQuT5OBKGCh\nUqqe+zP9lVJXAr2Am30UW0473D+b5PP6Ze6f+c0pKDZZjUb4SmhQKKEVQgmv4P2JkhlZGT4Z0UhK\nTyItK43E9EQS0z3dysNDm4GtmFK8NhB2JIwOt3ZgyIAhDHxkoHePJfzP5YKoKHjtNfO4f3+YOhXK\nl7c0LBHY9qWksMS96dfquDhScvT+VwsOpnN4ON0iIugaEUGdcuUsjFQI+/KoTAhAKXUz8ArQGjMB\nfyPwSq4lQosXROFlQpcAezBV141ybguslKqM2YlYA7W01im5P1+CuPSoUaOIdNfACiEg05XpkxGN\nxPRE0nakmQngt8BFv1zEuwPfpc9tfaTszu4SEsxowMKF4HDA2LFmsrC0q8glzeVirXvX3yWnTrEz\nV+9/q0qVzMo/ERFcV6VKmez9F6WL0+nE6XQyevRoy8qEPE4GfBpEIcmA+z3RmInMQ7TW7+d4/l3M\nBmYfaa2f9HJcOhD+foQoK75a+BUD3hvAhVUv5FD8IaY/N11G5+xu7164/XbYtg2qVoUvv4QuXayO\nSgSQ/SkpZ1f+WXX6NMk5ev+rBgVxq3vln64REdSV3n9RSgX8nAGl1CxghtZ6pbcOrJS6A7jD/bCO\n++f1SqlP3fdPaK2H5/jIk8B6YJJSqhOmdKgtEAnsBF70VmzC/qRu0p5iDsQw/bnpRFSKIDYxlt37\ndlsdkiiGs+ff6tVw990QGwtNm5qNxBo3tjo8UQB//O5Mc7n4MT7+7Lr/fyafv1doi7Cws7v+Xlel\nCiHS++8x+b9PFIencwZqAEuVUkeBOZjEYEchnylMC+BBOLsov8YsuniJ+/F+4Gwy4F696FrgVcxk\n5u7AEWACMFprnd+yo0IIm/DmBHBhDa01n0+dSoctW1DDhkFWFvToAXPmmJEBUSb9lZp6tvRn1enT\nJOXo/a8SFMSt7l1/u0ZEUE96/4Xwq6LMGagL9MOsINQcM2dgBvC51jrWZxFaSOYMCCFE0UR//jnL\nHnqIrhkZdAEYMQJefx2CgqwOTfhRurv3f6l78u+2XL3/zcPC6O7e9fd66f0XZZht5wy49xd4ELgX\niNBal8rlIGTOgBBCeGb2xx/zxbhxtDh8mNdTU3kJ2FyvHve+/DIPDJTVoMqCQ9m9/7GxrDx9msSs\nrLOvVQ4K4pbw8LO1/xfKKlJCnCfg5wzkQQMuzKpCshyECDhSN2lv0n42ojWsXUu/xYupHhPDWmAN\n4Kpdm8ETJtClj5R72UlRzr0Ml4t17t7/JbGxbE1KOu/1K8PCzq78c0PVqoRK77/Pye9OURweJwN5\nlAn9BowBPvNNaEIIIQJWVpbZMGzcOPjlF9MzFBJCKjCldm3qxcejlOzGXtocTktjqXvi78rTpzmT\no/e/UlAQnapVo7u79r++9P4LYQueria0DOgEHANmA/dprbf7MjAhSkJ6RuxN2i+AJSfDp5/Cu+9C\nTIx5rnp1GDyYg5mZdG3Vis69e7N8wQIO7pbVoOxEa030unV06NDhbBKX4XKx4cyZsyv/bMnV+9+s\nYkW6RUTQvXp12kvvv+Xkd6coDk9HBk4C3YBVWmtXYW8uTaKiomQCsRBCnDgBU6aY28mT5rlLLjGb\nhz3yCFSsyOM53i7lQfYz/7vv+OCPP7h08WKC2rRhaWwsy2Njz+v9D3M46OTe9bdb9epcLL3/QpRI\n9gRiKwXEpmOBSiYQ25fUTdqbtF8A2bPHjAJMnw6pqea51q1h+HDo/f/t3Xl8XFX9//HXmUlmsrdN\n96ZJmxYoUmmxpcBPVArK/mWRTUQpixaUiohsLS60fJVSZFFZRFAogiBfQPkCIptQ/aJAsVBakKU2\nbZM06b5kn5nMnN8fd5JmnaRpkjt35v18PO5jMnduJmfy6U3v557POeeMLmcJUvy85ddLl/Lzhx9m\nW0kJ26ZNgxUrnF6fY46BY4/lwJwcZ+afwkI+P3QoQd39T1o697zLEwOIjTGFOPP7lwCBtq9Za2/s\n53aJiIib3nrLGQ/wxz86g4TBWS/gmmvgC18AjQVICVFrCR5/PFu3b2f7O+84cbWWGeefzzdOPZWT\nhg9nYna2280UkQHUq54BY8ws4AWcmYOGAFuAUUAjUG2t3X8gG+kW9QyISFqJxeD5550k4O9/d/Zl\nZsLXvw5XXQVTp7rbPuk31lpe2LGD68rKWF1fD8uX43v7bcYFg+yORHhwzhzOPPlkt5spkja80DPw\nM+CPwKXAbuBzQAh4DLhjYJomIiKDIhRyVgi+9Vb48ENn35Ah8K1vwXe/C+PGuds+6Vf/qqnh2rIy\nXtu1C4CSYJDDreWcCy/kzJNO4o/PP8+aDRtcbqWIDJbeJgOHAN+21saMMTEg01q71hhzLfAATqKQ\nkjSA2JtUN+ltit8g2bUL7r0XfvlLqK529o0fD1deCd/8JhQU9OltFb/kVNbYyA/WreMPW7YAMCwj\ngx9MmMC8cePI+n//D3Bipx4B79K55z3JMIC4t8lAFGiOf70FKAY+wpllaGL/Nyt5LFy40O0miIj0\nr/Jy+PnP4f77oa7O2Xfwwc54gHPPdUqDJGVsC4f5yYYN3FNVRcRagsbw3fHjWVBSwjDFWsRVLTec\nFy1a5FobejtmYBlwl7X2SWPMw8B44GbgEmCytfaQAW2lSzRmQERSynvvOeMBHn8cmuP3d774RScJ\nOO44DQpOMQ3RKD+vrGRJeTk10SgGmDN6NDeWlmpBMJEk4+aYgd4mA8cCudbap40xpcBzwKeArcDZ\n1tq/D2wz3aFkQEQ8z1p45RUnCXj5ZWef3w/nnANXXw0zZrjbPul3zbEYSzdt4ob166kKhwE4obCQ\nJZMmMS0vz+XWiUhX3EwGejVZsLX2ZWvt0/Gv11lrpwIjgbGpmgiIt7ldfyf7RvHrB5GIMyh4xgzn\nrv/LL0NuLlxxhbN2wKOPDlgioPi5w1rLs9u2Mf1f/2LuJ59QFQ4zMy+Pv06fzl+mTetVIqDYeZvi\nJ33R63UGOrLWbu/PhoiISD+oq4Pf/AbuuMMZGwAwejRcfjl8+9tQWOhu+2RAvFVTwzVr1/J/u3cD\nUJqVxU2lpZwzahQ+lX+JSAJagTgBlQmJiGds2uTMCvSrXzmzBAFMmeKsD3D++aAa8ZT0SUMD15eV\n8dS2bQAMz8jgRxMn8q1x47RSsIiHeGGdgbSlqUVFJKl99JGzPsDDD0O8Ppwjj3QGBZ9yCuiCMCVt\nDoe5cf167quuptlasn0+rhw/nmtLShiSof/aRbwiGaYWVc9AAuoZ8C7Ntextil8PrIXXX3cGBT/7\nrLPPGDj9dCcJiM8Z7xbFb+DUNTdzW2Ult1ZUUBeN4gMuGjOGRaWlFAWD+/z+ip23KX7epZ4BERHp\nWTQKTz/tJAFvveXsCwbhwgvh+9+HAw5wtXkycCKxGL+trmbh+vVsjkQAOGX4cBZPmsTU3FyXWyci\nXqaegQTUMyAiSaGxER56CG67zZkJCJyBwPPmwXe+A6NGuds+GTDWWv60bRsLysr4pLERgMPz87ll\n8mS+MHSoy60Tkf6ingEREels2za45x646y7YutXZV1rq9AJcdJEzVaikrNd37eLasjLeqKkBYP/s\nbG4qLeXMkSMxmiFIRPqJRpZJSnJ7MI7sm7SPX1mZc8e/pARuuMFJBA491Fk5+JNPnNeSOBFI+/jt\now/r6zl99Wo+v3Ilb9TUMCozk7v3358PZs3irFGjBjQRUOy8TfGTvlDPgIhIsnj7bWc8wFNPQSzm\n7DvxRLj2WjjqKGeQsKSsqlCIhevX89vqamJArs/HVcXFXF1cTL5mCBKRAaIxAwlozICIDLhYDP7y\nFycJ+NvfnH2ZmXDeeXD11fDpT7vbPhlwNc3N/KyigtsrKmiIxfADc8eN44YJExjTDzMEiUjy05iB\nJKZ1BkRkQIRC8OijzhoB//63s6+gAC69FK64AoqK3G2fDLhwLMavq6q4ccMGtsVnCPryiBEsnjSJ\nKTk5LrdORAaD1hlIcuoZ8C7NtextKR2/3bvh17+GX/wCqqqcfUVF8L3vwdy5MGSIu+3rBykdv35g\nreWJrVu5vqyMtU1NABxZUMAtkyfzWZfjr9h5m+LnXeoZEBFJdRUVTgJw331QW+vs+/SnnUXCzj0X\nAgF32yeDYtnOnVxbVsbb8X8DB+bkcPOkSZw6fLhmCBIRV6hnIAH1DIjIPlu1yikFeuwxaG529h19\ntJMEnHCCBgWnidV1dcwvK+P5HTsAGBMIsGjiRC4eM4YMnyb2E0l36hkQEUkl1sKrrzqDgl980dnn\n88FXvuIkATNnuts+GTQVTU38eP16Htq0CQvk+f1cV1zMlcXF5Pr9bjdPRETrDEhqcnswjuwbz8av\nudnpATj0UPjSl5xEICcHLr/cWTn4D39Ii0TAs/HrR7siEeavXcsBy5ezdNMm/MbwnaIi1h5+OD+c\nODFpEwHFztsUP+kL9QyIiOyrujr47W/hjjtgwwZn36hRThLw7W/D8OHutk8GTSgW456NG/nJhg3s\niJeFnTNyJD8tLWU/zRAkIklIYwYS0JgBEUlo82a480645x7YudPZd8ABcNVVcP75kJ3tbvtk0MSs\n5bEtW/jhunWsj88QdNSQIdwyeTKHFRS43DoRSXYaMyAi4iUffwy33Qa/+52zXgDAZz/rjAc49VRn\nfICkjZd37OC6sjLerasDYGpODksmT+akwkLNECQiSU//Y0lKUt2ktyVt/P7xDzj9dPjUp+D++yEc\nhtNOg9df3/OaEoHkjV8/W1lby/Hvvcdxq1bxbl0dRYEAD0yZwnuzZnGyR6cKTZfYpSrFT/pCPQM9\n0ArEImkuGoVnnnFmBnrjDWdfMAhz5jjlQFOmuNs+GXQbmpr44bp1/H7zZixQ4PezoKSEK8aPJztJ\nBwaLSHLSCsRJTmMGRNJYY6NTBnTbbbBmjbNv2DC47DJnYPDo0e62TwbdjkiEn27YwF0bNxK2loAx\nzCsq4gcTJjA8M9Pt5omIh2nMgIhIsti+3RkQfOedsHWrs2/CBPj+9+HiiyEvz932yaBrjEa5c+NG\nFpeXsys+Q9B5o0bxk9JSSjVIXEQ8TsWtPVDPgDe53eUm+8aV+K1bB9/9LpSUwI9/7CQCM2Y46wb8\n5z/Oa0oEeiVVzr+otSytruaA5cu5rqyMXc3NfGnYMFbMnMnvDzooJROBVIldulL8pC/UM9CDl554\nguPPPhs8OBBMRHphxQpnPMATT0As5uw74QRnZqCjj9a5n4astbwQnyFodX09ANNzc7ll8mSOKyx0\nuXUiIv1LYwYSMMbY64H3gHN9Pr6elQWZmd1vgUDi1wf7+K6+Jw0ubKy1/GzBAq5ZvNiTs3nIILAW\nXnjBSQJee83Zl5EBX/0qXH01TJvmbvvENf+qqeHasjJe27ULgJJgkJ+UlvK10aPx6e+JiAwQjRlI\nYjHgO8DxsRg0NLjdnH3n93s/ocnMdD5HN1586imq77mHl2bN4vgzzxzEX64kvXDYKfu59VZ4/31n\nX34+XHIJXHEFFBe72z5xzdrGRn5QVsbj8XEiwzIy+MGECcwbN44szRAkIilMPQMJGGPsFfn5nPjA\nAxx/yikQifS8hcO9O86N74lE3P6V9h9jOiUIj4TD/KGhgenAlyIRXsnJ4b3MTM6dNYuvH388jBnj\nzAAzZoyzDR+uOeGT1LJly/p3Ot/du+G+++AXv4CNG51948Y5CcCll8KQIf33s6T/4zeAtobD/PeG\nDdxbVUXEWoLG8N3x41lQUsKwNJwhyEuxk84UP+9Sz0ASO/HBB6lYs8aZVzwYdLs5+8ZaaG5OzkRl\nb78nFnO+Jxxu/XhfA4YDfwcMEGtocHp1XnkFXnml8+/D74dRo/YkBx2ThbbPhwxJixKrlFNZ6SQA\n990HNTXOvqlTnVKg885zep0kLTVEo9xRWcmS8nJqo1EMcMHo0dxYWkpJVpbbzRMRGTTqGUhA6wwk\nsWi0yyThhWee4cVrr8WMHk2supoTv/ENji8uhk2bnG3z5j1f79jR+58XDHafKHR8nps7cJ9bemf1\naqcU6NFHnQQYYPZsZ1DwiScqsUtjzbEYSzdt4sfr11Mdv5lwQmEhSyZNYppmixIRl6hnQGRv+f3O\n1uEOXsXu3Zzw0EMcd8YZvPTHPzq9Otde2/V7hMOwZUvXiULH57W1UF7ubD3Jy+ucLHSVOIwe7f3e\npmRiLSxb5gwK/stfnH0+H5x9tpMEzJrlavPEXdZant2+nfllZXwYH/81My+PWyZP5phhw1xunYiI\ne9QzkIB6Bryr3+smGxoSJwttnzc19f59hw1L3MvQ8vXIkc5sN2lir+LX3AxPPeUkAStWOPuys50F\nwr7/fZg0acDaKV1LtrrlN3fv5pqyMl7fvRuA0qwsbiot5ZxRozRDUAfJFjvZO4qfd6lnQCTZ5eRA\naamzJWKtU5vem8Rh82bYudPZPvww8fsa4yQEvUkcCgvTY2B0fT088ADccYezYBg4v6PvfAcuuwxG\njHC3feK6TxoauL6sjKe2bQNgeEYGP5o4kW+NG0cwHc4REZFeUM9AAuoZkAEViznjFnoqUdq82VkN\nt7f/FjMy9iQIPSUOBQXeq5/fsgXuvBPuuWfPuI/99oOrroILLnB6BSStbQ6HWbR+PfdVVREFsn0+\nrhw/nmtLShiSRj1sIuIdbvYMKBlIQMmAJI3mZich6Clx2LQJ4osl9UpWVs8Dolu+zskZuM/XG2vW\nwG23wdKlEAo5+444whkPcNppCdeekPRQ19zMrRUV3FpRQX0shg+4aMwYFpWWUqTxOZLirLXctOAm\nrl98vRbc9CCVCSWxhQsXMnv2bNXgeUzK1U1mZMDYsc7Wk6am7gdGd0wc6uth/Xpn60l+fu8Sh1Gj\n9nnKznbxe+MNZzzA00/v6R059VQnCTjySO/1bKSBwT7/IrEYv6muZtH69WyOr6dyyvDhLJ40iama\n3WuvpNzfzjRhY5YnFj/BKz9/hSlDp3DiaSfiz/eTkZ+BP8+P8evvZLJatmwZy5Ytc7UN6hlIQD0D\n3qX/0Hqpri5xstD2eZs1HXpUWJi4l6Hl6xEjOt3Rt9byrfPO496vfAVz663wj384LwQCMGeOUw50\n4IH9+EuQ/jZY55+1lj9t28aCsjI+aWwE4PD8fG6ZPJkvDB064D8/Felvp7fEIjHuuvQuHn/0cUpD\npcxkJitYwVrWcgzHcCzHAuDL8e1JDvL9+AvafB3fOj0vyOjyNV+WTz0PA0BlQklKyYBInLVO+VFv\nEoctW5x1IHrD59szMDq+vbB9Oy/++c+cYC3HAwwd6gwIvvxy5xgR4PVdu7i2rIw34ovJ7ZedzeLS\nUs4cOVIXKpLyog1Rqn9bTcWtFTSVN7Gc5azyrWJubC6/yfwNM0fM5DAOI1YXI1oXhf68lPGzd0lF\nfgb+gu5fU6+FQ8lAklIyINIH0Shs397zoOhNmyA+ywvAI8AfgOnAT4AfZmTw3vDhnLtgAV+/4gqX\nPowkmw/r65lfVsYz27cDMDIzk4UTJzJ37FgyNUOQpLjIjggb797Ixl9uJLLNKYnLOTCHj4/5mD8/\n/GeyirNorGhkzoNzOPnMkwGnhCjaECVau2drrmne83Vtc/vXWp7XdP2aDfXvdZEv29epJ6IvSYU/\n348v27u9FkoGkpSSAe9SV7dHRCJOT8Lmzdjqal547jn+/thjHL97Ny8WF3PU7bdz/JlnevaPe7oa\niPOvKhTihvXreaC6mhiQ6/NxVXExVxcXk68ZgvqN/nYmp6bKJirvqKTq11XE6mMA5B+WT8mCEkac\nOoJ7ltzDxAMmklOYQ8OOBjas2cBl8y8bkLbEIrH2iUNND0lFh+Sj42sD1muxD0lFa0lUxuDcYLDW\n4vP5NIBYRNJQZiYUFUFREQYwjY00/f733D1hAkU7dmCMUSKQ5mqam7mlvJzbKytpjMXwA98aN44b\nJkxgjGYIkhRX/1E9FbdUsPmRzdiIc9U87PhhlMwvYehRQ1v/Ps5bMA9wkrmWHoGB4sv04Sv0kVmY\nuc/vZa0l1hDrl6QiWhsl1hSjeVczzbua++GT7um12JekoqXHI1GvxZ+f+nO/tLev1DOQgHoGRAbX\n/YsXU3LAARx3xhm89Mc/UrFmDd+cP9/tZokLwrEY91ZV8d8bNrAtPkPQl0eMYPGkSUxxe5pbkQFW\n81YN5UvK2fb0NufOuQ9GnTOK4muLyf9MvtvNS1qdei0SJA69KZUi1o+N89EpUfjL7r/wQtULTGYy\nv6v9ncqEkpGSARGRwRWzlie2buX6sjLKmpoAOLKggFsmT+azQ4a43DqRgWOtZedLOym/uZxdy5z1\nYkzQMPaisRRfXUz2ZC2oOJja9VrsY1IRrXF6LTr9DKwz+JtVPMqjKhMS6U+qe/U2xc/b+hq/13bu\n5NqyMv5VWwvAgTk53DxpEqcOH65ysUGic2/wxZpjbHtqG+U3l1O3sg4Af4GfonlFFH23iOCY3pfD\nKX79xxiDP9ePP9cP/TCRXaw51mWiUP1SNSvuWgFN+/4z+krJgIiIuGp1XR3XlZXxlx07ABgTCLBo\n4kQuHjOGDM0QJCkq2hRl09JNzvSga50rwcCYAOOvHM+4S8eRMUSXaKnEl+HDN8xH5rD2Yy12/msn\nFzxyAU+c9YRLLVOZUEIqExIRGTgVTU38eP16Htq0CQvk+f1cV1zMlcXF5HZYjE4kVTTvbmbjrzZS\n+fNKIpud8TDZ+2VTfE0xo+eMxp+lf/vpyM2pRZV2iojIoNoVibC4vJxfbtxIUyoUgNAAACAASURB\nVCxGhjF8a9w4fjRhAqMCAbebJzIgQtUhKn9RSdWvqojWOAsz5s3Io2R+CSPPGKnFt8Q16n+VlLRs\n2TK3myD7QPHztu7i1xSNcltFBZPeeotbKipoisU4Z+RIPpw1izv331+JQBLQudf/Gv7TwMeXfsyb\nE9+kYkkF0ZooQ48ZyrSXpjHzXzMZdfaofksEFD/pC/UMiIjIgIpZy6ObN/PDdevYEAoBcNSQIdwy\neTKHFRS43DqRgVH7Ti3lS8rZ+uRWZ4pKAyPOHEHJdSUUzNK/e0keaTlmwBizAPgpcLe19vIEx2nM\ngIjIPnh5xw6uLStjZZ0zS8rUnByWTJ7MSYWFmiFIUo61ll2v7aJ8STk7X9oJgMk0jJ4zmpJrSsiZ\nojUypGsaMzCIjDFHAHOBVfTvItgiImnPWsuCm27inMsvZ/66dby807kgKgoE+O/SUuaMGYNfSYCk\nGBuzbHvamR609m1nalx/np+xl46l+MpigkVaLVuSV1qNGTDGDAEeAS4CdrrcHBlAqpv0NsXPu+79\n05/42csvM/Pee3l5504K/H4Wl5ay5vDDuWjsWCUCSU7n3t6JhWJUP1DN8oOW88GZH1D7di2ZIzMp\n/UkpR5QfwX637jeoiYDiJ32Rbj0D9wFPWGv/ZtQ/LSKyT5qiUd6vr+edujoeefhh3n7mGZpKS+G0\n02DFCgqffZYfXHQR3//8591uqki/aq5tpvq+aipuryBcFQYga2IWxVcXM+aiMfhzND2oeEfajBkw\nxswFLgGOsNZGjTGvAauttd9N8D0aMyAiAtRHo7xXV8c7tbW8E3/8oKGB5pa/kdbC8uWwahXMncvY\nhx7il2eeyZknn6yxAZIywlvDbPzlRjbetZHmXc0A5B6c60wPes5IfBlpVXAh/UhjBvqRMeZrwL1t\ndp0AbMMZMPw5a2205dD4JiIibexubmZlhwv/jxoaiHU4zgCfyslhRl4eM/Lzqd2yhVvffZeSpUup\naGzEGKNEQFJC4/pGKm6tYNMDm4g1OmfCkM8PoWR+CYUnajC8eJsryYAx5izgKOAQYDqQB/zeWnt+\ngu8ZD9yIc3FfCFQDTwOLrLW72hz6v8AbbZ5XAecCI4AP2pywfuDzxphLgVxrbaQfPpokiWXLljF7\n9my3myF9pPgNnu2RSLuL/nfq6vhPY2On4zKM4eCcHGbk57de/E/LzSUvY89/I4u3bWPp+edTmJPD\njoYG1mzYMJgfRfqBzr326lbXUb6knC1/2ALxW4nDTxlOyXUlDDlyiLuN64LiJ33hVs/AD4FpQC1Q\nCRxIgpl9jDGTgX8CI3ESgI+Aw4ErgBOMMUdaa3cAWGvrgLoO3/8nYHnbXcCDwCfATUoERCQdbAqF\n2l30v1Nb2zrvf1sBY5iWl9d60T8jL4+Dc3PJ8ieug14wbx7gXJCcefLJA/IZRAbDrtd3UX5zOTv+\nvMPZ4YfR54+m+Npi8j6d527jRPqZK2MGjDGzgQpr7VpjzFHAa8Aj1to53Rz/InAscLm19u42+28D\nrgR+ba399l62YRnOmAGtMyAiKcVaS0Uo1OmOf3U43OnYHJ+PQ9pc9M/Iz+egnBwyfap9lvRiY5bt\nf95O+c3l1PyzBgBfto+xc8dS/P1isiZkudxCSWVpN2bAWruszdOEHzzeK3AssK5tIhB3A3Ap8HVj\nzFXW2oa9aQZaZ0BEPM5aS1lTU+sF/4raWt6prWV7c3OnYwv8fj7T5sJ/Zn4+B+TkaLpPSWuxSIwt\nf9hC+ZJyGj5wLiMyhmVQdHkRRZcXERgRcLmFIgPLCwOIj44/vtTxBWttnTHmHzjJwhHAq719U2vt\n0T0fJV6luklvU/y6FrWWTxoa2t3tf7e2lt3RaKdjCzMymNnmbv+MvDwmZWfjG4QLf8XPu9IpdtH6\nKNW/rabitgpC5U65XHB8kPFXjWfsN8eSkeeFS6T20il+0n+88C99Svzxk25eX4OTDOzPXiQDvXXh\nhRcyceJEAIYOHcohhxzSeqK1LO6h58n1/KijjuK+hx/GWosxxvX26Lme9+X5K6++yoZQCP8hh/BO\nXR2vvfYa/2lspGn6dABYudJ5POQQRmdmMvGjj9g/J4czv/QlZuTns/aNNzA7dzI7fvyyZcuoTKLP\np+fJ+bxFsrRnIJ5Htkd46uqn2PrHrRxcczAAHxZ/yKjzRvHlG7+ML+BLqvbuzfMWydIePe/++cqV\nK9m1y5n/Zv369bjJ9XUG4uMHXqWbMQPGmPuAbwLftNY+0MXrPwUWAAustUv6uW0aM+BBTz73HBc/\n8ggPnn++BjGKJ7RdvKvljv+qujpCXfz9KQkG29X3z8jLY2xw8FY4FfGqpoomKu+opOq+KmL1zvSg\n+YfnUzK/hBGnjsD4VC4n7km7MQMiLay1NMVi1EWj1EejzmPH5z281vJY+dxzbH/pJaKTJ2MvvZSv\nPvAAmTfdxMGnnMLss8+mKBhkfDBIUXwbnZlJhs/n9q9A0kx9NMqqurp29f3tFu9qY3JWVrv6/s/k\n5TEiEHCh1SLeVf9hPRW3VLD5kc3YZuc8KzyhkJL5JQz5whCtESBpzwvJwO74Y3cT+rbs39XN69IP\nYtb2+qK85fVEr7W9yO+4kFGfHXUUZGc7K6C+9x6RWIzIaafx1qxZvFVR0elwHzAmEGhNDsYHgxS1\neV4Uf952HnUZHMuWLWvtTvWyvi7eNSMvj0Py8hiamelGs/dZqsQvHaVS7Ha/uZuKJRVse3qbs8MH\no84dRfF1xeQfku9u4wZIKsVPBo8XrnI+ij9O6eb1/eOP3Y0p2CcLFy5k9uzZnjm5Im0vwntxwd7b\nO/CNsX67ZO8kaAy5fj95fn/nR58v4Wsd9/9t1y6uffddhv3lL+wYMoQrJ0xg0oEHsjEUYmM47DzG\nt82RCFXhMFXhMG/X1nbbvgK/v12PQlcJw6hAYFAGZkry2h6J8G5tLSt6WLzLD0zLzW03uLfj4l0i\n0jfWWna8uIPym8vZ/TfnXqIJGsZePJbiq4rJnpztcgtF2lu2bFmnMR+DzQtjBiYB/wHWAfu1LeI3\nxuTjrERsgVHW2s7/8+5b22wsFuv3LkRrLaGWi+0+XLAnugMfHsB4tlyY9+aivLvXu3qtP0t1Ft99\nNwdMnMgZJ53EH59/njUbNjD/ssu6PDYci1HdIUFomzBUxh+7qtvuKMMYxrVNEjokDOODQcYFAmT3\nsGiTeMNAL94lInsn1hxj65NbKb+5nPr36gHwF/gpmlfE+CvGExit8jpJbm6OGUj6ZCB+zAvAccB3\nrbV3tdl/O/A94F5rbddXfPvWNvvwM89w7PHH7/MFe8c77wN1n90Pe3UnvbcX9Nk+X1re+bbWsqO5\nuVPCUNn2eSjU5ZzuXSnMyOiUMHTsdRiemaka1iShxbtEklu0McqmhzZR8bMKmsqaAAiMCTD+yvGM\nu3QcGUPU4ybekHbJgDHmdOD0+NMxOBf6ZcDr8X1brbXXtDl+EvBPYBTwvzilQ4cDs4GPgc9aa3cO\nQDstX/sarF0LxxwDxx7bb+/dXWnM3txl7+p7gz6fLiQZ/LrJpmiUqnivQmUXvQwbQyGqwmEivTjf\ngsYwrk1y0C5ZiO8bFwwSSOGLTDfqXjsu3tXyuC0S6XRsx8W7ZuTnM0WLd7VS3bJ3eSV2kV0Rqn5V\nReXPK4lscc7R7P2yKb62mNHnj8aflZ69b16Jn3SWjrMJTQfmsGcFYAuUApPiz9cDrcmAtbbMGHMo\ncCNwAnASUAX8HFhkrW0ZZNz/rKXgrLMo/Oxnyc/I6PVFeU8X9JrFJrVk+f1Mys5mUnb39agxa9kW\nibTvVeiQMFSGQuyORlnX1MS6pqaEP3NkZuaeRKGLcQxFwSBDMzKUHHbBK4t3iUh7oeoQlT+vpOpX\nVURrnfM1b0YeJfNLGHnGSIxf56XI3nK9TCiZGWNs4KCDuP7rX+eGBQvcbo6kifpotMdxDJvCYTpf\ntnaW4/MlHMdQFAgwJhBI6eQ0EovxYUNDuzv+K+vqqO9iUPzozEznwr/NxX9JMKiESsRlDWsaqPhZ\nBZse2oQNO9ctQ784lJL5JQz74jCdo+JZLQOIFy1alF5lQl5hjLFPPvdcwkGoknystdy04CauX3x9\nyv4HEbWWzW17FTqWKMX31XVxp7sjHzC6JVHoONVqm335HpjtRot3iaSW2hW1lC8pZ+uTW50aAgMj\nzhhByXUlFMwqcLt5Iv0m7cYMeIVWIPam5558jtvn3M5VD1/FyWem9wrENW0GP1d2UZa0MRxmczhM\nb/6V5/v9CccxFAWDjAoE+qVuvjd1r20X72q58H+/vr7HxbtmxBfvGqnFuwaM6pa9KxliZ61l16u7\nKF9Szs6XneGAJtMw5oIxFF9dTM6UHFfbl8ySIX7SN+k4ZkCk38QiMULlIR6880Ee/5/HKW0q5ZTG\nU3jikie45Tu3cM4Z5zDn4jkEigIERgXSasn5gowMCjIy+FRubrfHRDpOsdpFwlAZClEbjfJRQwMf\nNTR0+15+YGyCBdxavs5JMLWmtZb7Hn6Yo446qrVnJ10X7xJJJzZq2fb0NspvLqf2X87aL/48P+O+\nNY7x3xtPsEg9dyIDQT0DCRhj7A033OCpRcdSkY1ZwpvCNK1rorGskaZ1Tc7X65yvQ5UhiIHFspzl\nrGIVc5nL/dzPdKYzi1kYnItKk2EIjAkQKAoQHBckWBQkMC5AsKj91/58f8qWGPWFtZadbadY7WLg\n88ZwuMuZd7oyrGWK1S4Shg9fe42FTz7JGSedROTQQ1mRYPGuqbm5rRf9M7V4l4gnxUIxNj+ymfJb\nymn8xDnXM0dmMv6K8Yy7bByZw5TMS+rSmIEkpzKhwRPZGel0sd96wb++CRtKEAcDwfFBskqzWG6W\n89c3/kpmYSbhHWGO/dyxHBE4glBViNDGEM3be7cegC/X1ylBCI4LOklEy9djA/gCqTvwti9CsRhV\nPYxjqAqFul4c7+WX4dVXYfJk+MY34Le/bZ3WN3DccVq8SyTFNNc2U/XrKirvqCRc5azdkTUxi+Jr\nihlz0Rj82Tq/JX1ozECSUjLQf6KNUZrWN3V7wR/dnXiga+aITLJKs1q37NJs5+tJWWSVZLVelN+9\n+G4mHjCRnMIcGnY0sGHNBi6bv2fwd7QpSrg6TGhjiHBV+8e2X8cae7csXObIzG57F1oeM0doEbG2\nbHyK1Y4LuFU2NfHOX//KB2++SfOhh5K3YgXnH3ccl5x+Ogfl5qb0ugqpRnXL3jUYsQtvCVP5y0qq\n7q6ieZdzgyb34FxnetBzRuLL0LneVzr3vEtjBsTzYs0xQpUh5wK/bE8JT8sW3tR5xda2fLm+PRf4\nLRf8k+LPJ2aRkd+7f6rzFswDnD+IXQ0e9mf5yS7NJru0+/UArLU0724mvDHc2qPQ7uuWJGJTmMjW\nCJGtEVjZfZtMwBAY26F3oaVEqc3X/tz0uAtmjGFkIMDIQIBDOrz25Nq1XPz66xS+8AI7hgzhi4WF\nHJKf70o7RaR/Na5rpOK2Cjb9dhOxJueGy5AvDKHkuhIKTyzUTRMRl6hnIAH1DOxhrSWyJeJc5Je1\nr9lvWtdEU3kTiSa+NxmG4IRgtxf8Xrx7bqOW8OYOvQtV8cShzdctd7564i/wd9u70PJ1YEwgpe+a\nLb77bg6YOJEzTjqJPz7/vKb1FUkBdavqKF9SzpbHt7T+PzH81OGUXFfCkM8OcbdxIklCZUJJKt2S\ngeaa5m4H6TatbyLWkLh0JjAu0KmEp+XrYFEwbVeGjDZEncSgi3KktklEwnERLQwERge67V1oSR4y\nhmnlYRFxj7WW3a/vpvzmcnY8vwNwbgqNOm8UJdeWkDu1+xnORNKRyoSS2MKFC1NmNqFYKEbThs51\n+y0X/M07Et/BzhiW0b5mf9Ker4MTgvizkqfMJZnqJv05fnL2yyFnv+7nxrbW0ryjuX3vQhclSpEt\nEcKbwoQ3halbUdft+/myfJ17FzoOgB4XSNoBeskUP9l7ip937WvsbMyy/bntlN9cTs0bNQD4cnyM\nnTuW4u8Xk1WS1U8tla7o3POeltmE3KRkoAcLFy50uwm9ZqOWUFWoy5r9xnWNzmwNCW4++7J9ZE3s\nomY/fsGfMUT/XAaKMYbM4ZlkDs8kb1pet8fFIjHCm7oZAN2mRClaG3XKucqaEv7cjGEZPQ6ADowK\npG2vjoj0TiwSY8tjWyhfUk7Dv521SDIKMyi6vIii7xQRGKFF/kS60nLDedGiRa61QWVCCSRbmZC1\nlsj2SLeDdJs2NGEjCdrrh6ziri/2s0qzCIwOqLQkRTTXNjtJQodBzx2TCNvci3/ffgiM6aZ3oe0A\n6AKtzSCSbqL1Uap/U03FbRWEKkKAM9Vz8dXFjPnGGDLydBNJpDc0ZiBJuZEMROuj3Q/SXddEtK6H\nKThHZ3ZZs59VmkWwOJjSg09l79iYJbIt0nXvQpsSpci23i0k5sv1dRq70KnHYWwQXzDxv0FrLTct\nuInrF1+v5EIkSUW2R9h410Yq76xsXb8l51M5lFxXwqivjtIaLCJ7SWMG0kgsEiNUHur2gj+yNfGF\nl7/A32XNfssUnP6c5KwBH2yqm+yZ8RkCowIERgXgM90fFwvFCFX3MAB6Y4hYfYzGNY00rum8WnBb\nmSMyEw6A/us7f+Wvv/wrh8w6pMvpYSX56fzzrp5i11TeRMXtFVTfX906qUTBEQWUzC9h+CnDMT4l\n8G7SuSd9oWSgn9mYJbwp3PVKuuuaCFWGIMGkPCZgWuv2O9bsZ5VmaZYYGXS+oI/sidlkT0y8NkO0\nJtrjAOjwJqenIbItQv179e3e42Ve5lVeZTKTOYVTeHzO4yz51hK+cs5XmPvjuQRGq+ZYxC31/66n\n/JZytvx+S2t5YeGJhZTML2HI54fo/yURD1OZUALGGBuLxTr9kYvsjHQ7SLdpfVPiKSKNU0/ZVc1+\ndmk2gbEB3VmRlGWjlvCWcJe9DE0bm1j24TLernybuXYu93M/05nOLGZhMARLghQcVkD+YfkUHF5A\n3ow81SOLDLDdbzjTg25/ZruzwwejvjKKkutKyJve/WQHIrJ3VCaUxM6YcQZn7X8W05unt17wR3f3\nULc/IrNzCU/LVpKlWkpJW8ZvCI4NEhwbJH9m55WFK5+s5M2L3+SBMQ8QqYww4vgRDNs9jNq3awmV\nh9havpWtT251DvZB7tRcJzk4rICCwwvImZqjcTEifdQyXmfBTQvY+eJOym8uZ/ffdwPOdMVjLh5D\n8VXFZE/qvpdQRPZOMkwtqp6BBIwx9mt8jbWs5RiO4ViOBZyBkl2V8LRsulvpPtVNetPdi+9m4gET\nySnMoWFHAxvWbOCy+Zdho5aGjxqoWV5D7fJaapbXUL+qvtNsSL5sH/kz81sThPzD88makKUShkGm\n88+bnn38WW4//3a+PO7LTNswDQD/ED9F84oY/93xKtXzAJ173qWegSRmcg2XnHYJJ51yUmsCkDki\nUxcXIgNg3oJ5gPMfWtvBw8ZvyJ2aS+7UXMZeNBaAaGOUunfr2iUITWub2P36bna/vrv1ezNHZu5J\nDuKPmYWZg/vBRJKItc7YtvrV9dSvruf3T/6eZ1c+S2lTKadyKss3LOcPGX/g7FPP5vIHLyejQJcK\nIqlMPQMJGGPsOfnnMOfBOZrVRMQDwtvC1L5d25oc1LxV0zrtYVvZ+2W3SxDyPpOXVCtoi/SX5rpm\nGj5ooG51XevFf92qunbnhcWynOWsYhVzmcuDwx7krLvP4r/O/S/d+BIZJOoZSGJzHpzDhjUb3G6G\niPRCYESA4ScOZ/iJwwHnDmjTuqZ2vQd1K+po/E8jjf9pZMujWwAwGYbc6bntBijnTMnRYH7xjFhz\njMb/NFK/Kn7BH7/4724Vcn+Bn9yDc8mblkfuwbls2baFd295l6UlS2mqaMIX8CkREEkT6hlIINlW\nIJbeU92ktw1k/GKRGPXv17cmB7XLa6n/oB46nOr+fD/5s/LbJQjBccEBaVOq0fk3cKy1hKvD7S74\n61fXU//v+i5nsjOZhpwDc8g9ONe5+D/YufgPFgfbXex3N15HvEXnnnepZ0BEZJD4Mn3kfyaf/M/k\nM+7ScQA01zZTu6K2XYIQqgix69Vd7Hp1V+v3BooC7cYe5B+ar3pqGTDNdc3Uv1/frrynfnU9zTs6\nl74BBEuCey74pzkX/zkH5PRqBrvuxuuISOpTz0AC6hkQSV+h6lC75KBmeQ3Rmg7TChvI+VROuwQh\nd1ouvkxNbyq9F2t2Vu+uX9X+bn/Tuq5LfDKGZrTe6W+9+P90LhlDlJiKeJWbPQNKBhIwxtgbbriB\n2bNnq9tNJM3ZmKXhk4Z2CULdyjpspP3fUBM05M/IbzdAOXtytuqvxSnxqQq3L+9ZXU/9hwlKfD6V\n0668J3daLsGioP49iaSIlnUGFi1apGQgGalnwLtUN+ltXolfLBSj7r06at7a03vQ+Eljp+MyCjPa\nlxcdlk9gZOrO2e6V+A2k5to9JT4t5T31q+tp3tl1iU/WxKxOd/uzD8ge9F4mxc7bFD/v0pgBEREP\n8gV9zurHhxW07ovsjFD7r9o9CcJbNUS2RNjxwg52vLCj9bis0qx2yUH+jHz8OZre1GtikRiNnzR2\nutvftL6bEp9hGZ0G8+Z+OldjT0TENeoZSEA9AyKyr6y1hCpC7XoPav9VS6wh1v5AP+QdnNcuQcg9\nKBfjVzlIMrDWEtoYanfBX7e6joYPG7DhLkp8Aobcg3I73e0PjAuoxEdEOtGYgSSlZEBEBkKsOUbD\nhw3tEoT61fXQIT/w5frIP7T96skdp4SU/tdc00WJz/sJSnxKszrd7c/ef/BLfETEu5QMJCklA96l\nuklvS8f4Reuj1L5bS+1bewYod1VqEhgTaF9eNCufzKGZLrS4e16JXywSo+Hjhk53+0MbQl0en1GY\n0WnqztypuWTkp06Jj1diJ11T/LxLYwZERNKcP9fP0M8NZejnhrbuC28JU/u2M+6gJUEIbwqz/Znt\nbH9me+tx2VOy2/Ue5E3PwxfUXekW1lpClaF2F/z1q+pp+Kih02xQ4MwI1bbEp+Vuf2CsSnxEJPWo\nZyAB9QyISDKx1tK4trF1YHLt8lpq363tNC2lCRjyDslrlyBk75+N8aX+hWzzbqfEp+0MPvXv19O8\nq5sSn0lZnabuzN4vG1+GkikRGTwqE0pSSgZEJNnFwjHqV9dTs7ymNUFo+KgBOvzpyhiaQf6s9usf\nBMcE3Wl0P4iF25f4tMzmEyrvusQnc0Rmp8G8OVNzyMhTB7mIuE/JQJJSMuBdqpv0NsVv3zTvbqZ2\nRXzswVtOL0K4OtzpuGBJsH150cy8frk47s/4tczG1PaCv35VPQ0fd13i48vykXNQ54W6AqNV4tMb\nOve8TfHzLo0ZSGILFy7UCsQi4ikZQzIYdswwhh0zrHVfaGOoddxBzVvO9Kah8hBby7ey9cmtzkE+\nyJ2a235600/nDlrJTGRXxJnFZ1Wbu/3v1xPdHe18sIHs/bI7L9S1X7amYxURz2hZgdhN6hlIQD0D\nIpKqbNTS8HFDuwShflU9trn93zxfto/8me3Li7ImZu3TXfZYOEbDRw3t7/avridU0U2Jz8jMzgt1\nTc3Fn6tF2kQkNahMKEkpGRCRdBJtjFK3sq517YOat2poWtt5etPMkZntkoOCWQVkDnemN7XWctOC\nm7h+8fUAhMpD7cp76lbX0fhxY6ekA+IlPlNz2k3dmXdwHoHRgYH94CIiLlMykKSUDHiX6ia9TfFL\nHpHtEWrebrN68lu1RLZFOh2XNTmLgsMKeIu3eOh/HuKsyWcxfdN0ojU9l/i0LtQ1WSU+btO5522K\nn3dpzICIiCSlzOGZDD9hOMNPGA44d/6b1jftSQ6W11K7opZn1z7Lq2tfZTKTOY3TePOTN/k9v+dL\neV/izMPPbDeYN/egXPw5KvEREUkG6hlIQD0DIiI9i0Vi1L1fx9P3Ps3Lj77MN+q+wdKRSzl98emc\ndvFpmsVHRKQHbvYMaFUVERHZJ75MHwWfKaDw2EIiJsLSg5bS2NRI5tBMJQIiIklOyYCkJLen6ZJ9\no/h504Y1Gzj/wfO54K4LmPPgHDas2eB2k2Qv6dzzNsVP+kJjBkREpF/MWzAPcC5ITj7zZJdbIyIi\nvaExAwlozICIiIiIDDSNGRARERERkUGnZEBSkuomvU3x8zbFz7sUO29T/KQvlAyIiIiIiKQpjRlI\nQGMGRERERGSgacyAiIiIiIgMOiUDPVi4cKFq8DxIMfM2xc/bFD/vUuy8TfHznmXLlrFw4UJX26B1\nBnrgdoBEREREJDXNnj2b2bNns2jRItfaoDEDCWjMgIiIiIgMNI0ZEBERERGRQadkQFKS6ia9TfHz\nNsXPuxQ7b1P8pC+UDIiIiIiIpCmNGUhAYwZEREREZKBpzICIiIiIiAw6JQOSklQ36W2Kn7cpft6l\n2Hmb4id9oWRARERERCRNacxAAhozICIiIiIDTWMGRERERERk0CkZkJSkuklvU/y8TfHzLsXO2xQ/\n6Yu0SgaMMQuNMbEOW5Xb7RIRERERcUNajRkwxiwEzgFmt9kdtdZu7+Z4jRkQERERkQHl5piBDDd+\nqMui1totbjdCRERERMRtaVUmFDfJGLPRGFNmjHnMGFPqdoOk/6lu0tsUP29T/LxLsfM2xU/6It2S\ngTeBC4DjgbnAGOCfxphCV1slIiIiIuKClBwzYIz5GnBvm10nWGv/0cVxuUAZcLO19o4uXteYARER\nEREZUGm5zoAx5ixjzJ3GmP8zxtTEZ/Z5uIfvGW+MecAYU2WMaTLGrDPG3GGMGdrh0P8FprfZVnT1\nftbaeuADYL9++EgiIiIiIp7iZpnQD4F5wDSgMr6v29vwxpjJOBf1F+KU+9yOc1f/CuCNtqU+1to6\na21Zm62pm/fMAj4FVO/7x5FkorpJb1P8vE3x8y7FztsUP+kLN5OB7wH75mZRcgAADtNJREFUW2uH\nAN/uxfH3ACOBy621Z1hrr7fWfhG4A5gC/LSnNzDG3GqM+YIxptQYczjwJJANPNTnTyFJaeXKlW43\nQfaB4udtip93KXbepvhJX7iWDFhrl1lr18afJqyRivcKHAuss9be3eHlG4AG4OvGmJwefmwR8Bjw\nEfAU0AgcYa2t2Nv2S3LbtWuX202QfaD4eZvi512KnbcpftIXXplN6Oj440sdX7DW1gH/AHKBIxK9\nibX2q9baImtt0Fo73lp7trX2o/5vbv/p7y6/vr7f3nxfb45NdMzevpbM3aJei9++xi7R63u7Pxn0\nZ9t07g0ur517vTlW597gvlcyn3u9/ZluSMVzr6djvP630yvJwJT44yfdvL4m/rj/ILRlUOmk6vm1\nrvatX7++xzYMBq/FL1mSgVSMX7qce5Ac8fPaudebY3XuDe57JfO5193+ZIhfKp57PR3j9WQgKaYW\nNcbMBl4FHrHWzuni9fuAbwLftNY+0MXrPwUWAAustUv6sV3u/3JEREREJOW5NbVohhs/1CvcCoqI\niIiIyGDwSpnQ7vjjkG5eb9mvkTMiIiIiIr3klWSgZZDvlG5ebxkr0N2YAhERERER6cArycBr8cdj\njTHtSneMMfnAkUA9zmJkIiIiIiLSC55IBqy1ZTjTipbirFrc1iIgB3jYWts4WG2KL172jDGm0hgT\nM8Zc0MUxfmPMfxtjyowxjfHH/zbG+AerndK1XsZvffy1jttzbrRZHL2JXfy4scaYh4wxW+Ln3wfG\nmC8MdnulvV6eewu7OO+q3Giv7NHbc6/N8Qvix905WG2U7vXy3JtnjHnPGLM7vv3TGHOSG+2V9noZ\nvwXGmLfjsdsSP35qT+/t2gBiY8zpwOnxp2Pij581xiyNf73VWntNm2+5DPgn8EtjzBdxSocOB2YD\nHwM/GOg2d5ALrMJZvfh3QFczD12H0+45wGpgevz4EPCTwWmmdKM38ZsJtE3cxgErgMcHvHWSSI+x\nM8YMxVl/5O/AScBWYBKwZfCaKd3ozbkHzt/42W2eRwe2WdILvY0dxpgjgLnx4zUzX3LoTfwqgGtx\npmz3ARcCTxtjZlprVw9SO6VrvYnfUcBdwNs48bsReMUYc5C1dmd3b+za1KLGmBtwVg/u2ICWMqD1\n1tpJHb5nPM4HOwEYDlQBfwIWWWt34xJjTC0wz1r7uw77n8NJai5qs+8hYJi19tRBbqZ0o7v4dXHc\nD4CrgLHW2tCgNE4SSnDu3QR83lr7eXdaJr2RIH4LgTOttQe70jDpUaK/m8aYITg3Tr4BLARWW2u/\nO7gtlER6+/9e/NjtwHxr7f0D3zLpjb24bsnFmYTnNGvtn7s7zrUyIWvtImutz1rr77D54tukLr6n\n0lp7sbV2XHwV4VJr7ffdTAR68H/AMcaYKQDGmINwVlN+3tVWyV6Lj1X5Bs5aGEoEkt/pwHJjzOPG\nmM3GmHeNMR1LDCW5TTLGbIyXVz5mjCl1u0HSa/cBT1hr/8aeG3ziMfFS53Nx7kj/0+32SJ8U4Fzr\nd9srAFpnYEBZa5cYYwqAfxtjoji/759Ya+91uWmy944FJgK6M+INk3BK9G4HbgI+A9xpjMFae7er\nLZPeeBO4AKdUaDTwQ+Cfxpip1todrrZMEjLGzMU5/86L71KJkMcYYw4G3gCCQB3wZWvtB+62Svro\nF8C7OPHslicGELvJGPM1Y0xtm+3Ivfjec4Hzga/iXIzMAeYZYy4eoOZKB/sSvw7mAstVMzl49jF2\nPmCFtfYH1tr3rLVLgV/SeQICGSD7Ej9r7QvW2iette9ba/8K/BdOTBMOWJX+0dfYxXvBfwp8zVrb\nMsbDoN6BQdUP/+99BEwDDgN+BfyuN4NQpX/013WLMeZ24LM4JZcJk/KUSAaMMWcZY+40xvyfMaYm\nPsr64R6+Z7wx5gFjTJUxpskYs84Yc0d84GFb/4sz8LdlW7EXTfsZ8DNr7f9Yaz+w1j6Cc6dywV68\nR8pL4vi1/KxRwKmoV6CTJI5dFfDvDvs+Akr24j1SXhLHrx1rbT3wAbBfX98j1SRp7P4fMAL4wBgT\nMcZEgC8AlxljwsaYzL37lKkrSeMHgLU2Yq0ts9a+a629HlgJXLk375Hqkjl+8Z91B/AV4Bhr7fqe\njk+VMqEf4mSxtUAlcCCJZzmYjFP/NhJ4mj0zE10BnGCMObKlK9paW4fTTdYX2UCsw74YukvSUbLG\nr8WFQBPw2D6+TypK1tj9I96Wtg4A1vfx/VJVssav48/NAj4FvNof75cikjF2fwKWt/2xwIM4C4Le\nZK2N9OE9U1Uyxq87fiDQj++XCpI2fsaYXwBnA0dba3u3GK+11vMbzvRzk+NfH4Vzwf27BMe/GD9m\nXof9t8X3/6oXPzMXOCS+1QM/in9d3OaYB3Gm6ToJp978yzhTG/7M7d9ZMm3JGr/4cQbnP7Jfu/17\nSsYtWWMHHAqEgetx7iafDewCvu327yyZtiSO3604d5RLcf7DfC4ev+K9/YypuiVr7Lr4nmXAnW7/\nvpJtS9b4ATcDn8O5ZjkYWIwzre/xbv/OkmlL4vjdjTN70NE40/a3bLkJ39vtX+gABajboACT46+v\n7eK1PJxsrBbI6eXPicVPlJavH+jwfnfg3I1sANbirC8QcPv3lKxbMsUvftzR8dcPdft3k+xbEsbu\nJJzu7UacuzDfcft3lMxbMsUPpxduI86aLJXAE8CBbv+OknVLpth18T2vAb90+3eUzFsyxQ/nJuZ6\nnN7wzTgLvh7r9u8ombcki1/H11q2Hyd671QpE9obR8cfX+r4grW2zhjzD5yZY44gQZe0tXYZPYy5\nsE5Xz5Wo1q4/DVr84se9RvuFx6TvBjt2z6NpfPvTYP7t/GrfmyldGNRzr8P3HN3zUdKDwTz3Lkr0\nuvTJYMavT2OBU2IA8V6aEn/sro5qTfxx/0Foi+w9xc+7FDtvU/y8S7HzNsXP25I+fumYDAyJP3a3\nUFnL/o6juyU5KH7epdh5m+LnXYqdtyl+3pb08UvHZEBEREREREjPZKAlAxvSzest+3cNQltk7yl+\n3qXYeZvi512Knbcpft6W9PFLx2Tgo/jjlG5eb6nZ6t3crDLYFD/vUuy8TfHzLsXO2xQ/b0v6+KVj\nMvBa/PFYY0y7xb+MMfnAkTjzt7452A2TXlH8vEux8zbFz7sUO29T/Lwt6eOXdsmAtbYMZ3qnUmBe\nh5cXATnAw9baxsFum/RM8fMuxc7bFD/vUuy8TfHzNi/Ez8QXKfA0Y8zpwOnxp2OA44Ay4PX4vq3W\n2mvaHD8JZ1noUcD/smdZ6NnAx8BnrbU7B6Xxovh5mGLnbYqfdyl23qb4eVvKxc/tldv6afW3G9iz\n6lrbrWXltbIuvmc88ABQhbPK5TrgdmCI258n3TbFz7ubYuftTfHz7qbYeXtT/Ly9pVr8UqJnQERE\nRERE9l7ajRkQERERERGHkgERERERkTSlZEBEREREJE0pGRARERERSVNKBkRERERE0pSSARERERGR\nNKVkQEREREQkTSkZEBERERFJU0oGRERERETSlJIBEZE0Z4y50BgTi2//43Z7+soY819tPsfLbrdH\nRMQLlAyIiKQIY8zSNhfDMWPMLmPMP40xJ/bi26PAGGBuh/fMNsZcb4x5xxhTa4zZbYxZZYz5hTFm\nyoB8kL57CRgL/A9gXW6LiIgnKBkQEUktf8e5qB8DHAG8AzxtjJnU0zdaa7dYa3e3PDfGFAD/BL4D\n/Br4AjAVuBRoBG7s99bvA2tt2Fq7GWgCjNvtERHxAiUDIiKpJRy/qN9irf0IWABkAgf34b1+CuwP\nHG6t/bW19l1rbaW19g1r7Xxr7VdaDjTGzDDG/MUYszneg7DcGHN82zczxqw3xvygw77fGGNea/P8\nc8aYfxhjauLbSmPMcW1ev94Ys9YY02SM2WKMecEYk9WHzyYiIkCG2w0QEZF+1XpH3BgTwCn7acLp\nIej9mxjjA84DHrHWVvTiW/KBx4DvAxHgAuAZY8ynrbVr4sdYui7fsfGfmQE8AzwAzIm/9mmgIf76\nGcB18Xa9BwwHjtqbzyUiIu0pGRARSS2zjTG18a9zcC6kz+vlBX1bI4BhwIdtdxpjHgP+q+W5tTY/\n/vi3Dt//I2PMKcDZwE09/KyWBCYfGAo8a61dG9+3ts1xE4BNwIvW2magEicpEBGRPlKZkIhIankT\nmB7fZgJ3Aw8bY2b28f061t5/L/7eNwC5rQcZM9IYc48x5kNjzM54QjIVKOntD7LW7gR+A7xojHne\nGHOdMeaANoc8jlPytMEY86Ax5uvGmLw+fi4REUHJgIhIqmmy1pbFt5XW2vk4d9C/t5fvsw3YCRzU\ndqe1drO1tgzY0uH4pcCRwDXA54BDgJVAoM0xMTonF5kd3v8SnCTmZZwSoPeNMZfEX6sCDgQujv/8\nHwEfG2PG7+VnExGROCUDIiKppaua/BiwV4NsrbUx4FHga8aYib34ls8D91hrn7PWfoBTzjO5wzFb\ngKIO+z7Tsc3W2g+stXdYa08Cfgtc0ua1sLX2RWvtdTiDonOA03r9wUREpB2NGRARSS1BY8xonDvw\n+cC5wKdwZgbaWz/Auch/0xizCFgObAdKcQbxRtsc+zHwdWPMP3D+b7mRzjecXgEuM8b8CSgHvoVT\nRrQNwBizH86A52dwejPG4Uxn+q/469+If663gV3AF+Of8d99+GwiIoKSARGRVGJxLt6r48/rgP8A\n37TWPrrXb2ZtjTHm/+HMEHQJcCvgByqAv+KUArW4CGctguU4vQK3ANkd3nIJziDgx3FmHLobeII9\nPQh1wH7AH4CROInHc8DV8dd3xL++BQjiDC6ea61tnZq0pelo0TERkV4x1urvpYhIOjPGXAjcb63N\n7OlYLzDGLAWKrLXHut0WEZFkpzEDIiJiAX98sbCH3G5MXxljTojPYnQe6hkQEekV9QyIiKS5+PSc\no+JP66y1HWcK8gRjTDYwNv60wVq7yc32iIh4gZIBEREREZE0pTIhEREREZE0pWRARERERCRNKRkQ\nEREREUlTSgZERERERNKUkgERERERkTT1/wF8yLbFbi5VDwAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f4c70f72590>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"%matplotlib inline\n",
"from matplotlib.pyplot import figure, show, setp\n",
"from numpy import log10, loadtxt\n",
"from src.analytic import Ee, Delta, pi\n",
"\n",
"ax = figure(figsize=(12,9)).add_subplot(111) \n",
"\n",
"theta_mean = loadtxt(\"Results/theta_mean_vs_EGMF-bis.dat\")\n",
"Redshifts = theta_mean[1:,0]\n",
"B = theta_mean[0,1:]\n",
"\n",
"i=1\n",
"for z in Redshifts: \n",
" ax.plot(B,theta_mean[i,1:],'-*',linewidth=2,label=\"z=%1.2f\"%z) \n",
" i+=1\n",
"\n",
"ax.axhline(y=0.5,color=\"k\",linewidth=2,linestyle=\"--\")\n",
" \n",
"ax.set_xscale('log') \n",
"ax.set_yscale('log')\n",
"#ax.set_ylim([0.8e-3,20])\n",
"ax.grid(b=True,which='major')\n",
"ax.legend(loc=\"best\")\n",
"ax.set_xlabel(\"B [Gauss]\",fontsize=\"x-large\")\n",
"ax.set_ylabel(\"average arrival angle [degre]\",fontsize=\"x-large\")\n",
"\n",
"show()"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": []
}
],
"metadata": {
"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": "2.7.11"
}
},
"nbformat": 4,
"nbformat_minor": 0
}