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@csferrie
Created September 10, 2018 14:19
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Code to reproduce the results in the paper https://arxiv.org/abs/1808.01072
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# The Quantum Maximum Likelihood Estimator is Inadmissible\n",
"\n",
"[Christopher Ferrie](http://csferrie.com) (Centre for Quantum Software and Information, School of Software, University of Technology Sydney)\n",
"\n",
"This code accompanies the paper by the same name, available at https://arxiv.org/abs/1808.01072."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Preamble\n",
"\n",
"Let's split out some configuration and imports, helper functions etc."
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"%matplotlib inline\n",
"from __future__ import division\n",
"import matplotlib.pyplot as plt\n",
"plt.style.use('ggplot')\n",
"\n",
"plt.rc('text', usetex=True)\n",
"plt.rcParams['text.latex.preamble']=[r\"\\usepackage{amsmath}\"]\n",
"plt.rcParams['font.size'] = 14"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"from scipy.stats import binom\n",
"import scipy as sp\n",
"import numpy as np\n",
"from itertools import product, cycle"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"def add_subplot_axes(ax,rect,facecolor='#A9A9A9'):\n",
" fig = plt.gcf()\n",
" box = ax.get_position()\n",
" width = box.width\n",
" height = box.height\n",
" inax_position = ax.transAxes.transform(rect[0:2])\n",
" transFigure = fig.transFigure.inverted()\n",
" infig_position = transFigure.transform(inax_position) \n",
" x = infig_position[0]\n",
" y = infig_position[1]\n",
" width *= rect[2]\n",
" height *= rect[3] \n",
" subax = fig.add_axes([x,y,width,height],facecolor=facecolor)\n",
" x_labelsize = subax.get_xticklabels()[0].get_size()\n",
" y_labelsize = subax.get_yticklabels()[0].get_size()\n",
" x_labelsize *= rect[2]**0.5\n",
" y_labelsize *= rect[3]**0.5\n",
" subax.xaxis.set_tick_params(labelsize=x_labelsize)\n",
" subax.yaxis.set_tick_params(labelsize=y_labelsize)\n",
" return subax"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Rebit risk\n",
"\n",
"A rebit is a qubit constrained to a bisecting plane, e.g. The X-Y plane. This is a useful proxy for visualization. In calculating the risk, we assume N Pauli X and Y measurements have been performed. We calculate this for several loss functions, but the paper only considers Hilbert-Schmidt, or squared-error, distance."
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"def risk(N, rho, est, loss):\n",
" \n",
" distx = binom(N,0.5*(rho[:,0]+1))\n",
" disty = binom(N,0.5*(rho[:,1]+1))\n",
" \n",
" px = distx.pmf(np.repeat([np.arange(N+1)],rho.shape[0],axis = 0).T)\n",
" py = disty.pmf(np.repeat([np.arange(N+1)],rho.shape[0],axis = 0).T)\n",
" \n",
" pn = np.array([idx*idy for idx,idy in product(px,py)])\n",
" \n",
" losses = loss(rho[np.newaxis],est[:,np.newaxis])\n",
" \n",
" return np.sum(pn*losses,axis = 0)"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"def sq_error(rho,sig):\n",
" return 0.5*np.sum((rho-sig)**2,-1)\n",
"\n",
"def trace_dist(rho,sig):\n",
" return 0.5*np.sqrt(np.sum((rho-sig)**2,-1))\n",
" \n",
"def rel_ent(rho,sig):\n",
" r = np.sqrt(np.sum(rho**2,-1))\n",
" q = np.sqrt(np.sum(sig**2,-1))\n",
" costh = np.sum(rho*sig,-1)/r/q\n",
" return 0.5*np.log2(1-r**2)+r/2*np.log2((1+r/(1-r)))-0.5*np.log2(1-q**2)+r*costh/2*np.log2((1+q/(1-q)))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Estimators\n",
"\n",
"Here we consider linear inversion-like estimators. Only the truncated linear inversion is considered in the paper. You can play with the parameters below in the corrected linear inversion estimator, but the paper derives $b = 1/N - 1/N^2$ as the asymptotical optimal."
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"def hedgel(N,nx,ny,rho):\n",
" return beta*np.log(1-rho[:,0]**2-rho[:,1]**2)+nx*(np.log(1+rho[:,0])-np.log(2))+(N-nx)*(np.log(1-rho[:,0])-np.log(2))+ny*(np.log(1+rho[:,1])-np.log(2))+(N-ny)*(np.log(1-rho[:,1])-np.log(2))"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"def lie(N):\n",
" return np.array([(2*x/N-1,2*y/N-1) for x,y in product(np.arange(N+1),np.arange(N+1))])\n",
"\n",
"def lie_trunc(N):\n",
" untrunc = lie(N)\n",
" norm = np.sqrt(np.sum(untrunc**2,1))\n",
" untrunc[norm > 1] = untrunc[norm > 1]/norm[norm > 1][:,np.newaxis]\n",
" return untrunc\n",
"\n",
"def lie_corr(N,a,b,c,d=0):\n",
" est = lie(N)\n",
" norm = np.sqrt(np.sum(est**2,1))\n",
" \n",
" outside = norm >= 1\n",
" est[outside] = np.sqrt((1-b))*est[outside]/norm[outside][:,np.newaxis]\n",
"\n",
" shell = np.logical_and(norm >= 1-a,norm <= 1-b) \n",
" est[shell] = np.sqrt((1+c))*est[shell]\n",
"\n",
" bulk = norm < 1-a\n",
" est[bulk] = np.sqrt((1-d))*est[bulk]\n",
" return est"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Hilbert-Schmidt distance\n",
"\n",
"Plotted examples for low values of $N$. The second figure the example presented in the paper."
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {
"scrolled": false
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"C:\\Users\\Chris\\Anaconda3\\lib\\site-packages\\ipykernel_launcher.py:35: MatplotlibDeprecationWarning: The set_color_cycle function was deprecated in version 1.5. Use `.set_prop_cycle` instead.\n",
"C:\\Users\\Chris\\Anaconda3\\lib\\site-packages\\ipykernel_launcher.py:65: MatplotlibDeprecationWarning: The set_color_cycle function was deprecated in version 1.5. Use `.set_prop_cycle` instead.\n"
]
},
{
"data": {
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TlStXDD97eHjg+vXrMkZjvdpD2Wm1Wnz77bfYu3cv9u7diz/++KPNKsDtofzk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\n0wsAAAAAyFk0vQAAAACAnPX/9y2IxvR3Xf4AAAAASUVORK5CYII=\n",
"text/plain": [
"<Figure size 1152x504 with 3 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"N = 4\n",
"a = 0\n",
"b = (N-1)/N**2\n",
"c = 0\n",
"\n",
"lie_est = lie_trunc(N)\n",
"corr_est = lie_corr(N,a,b,c)\n",
"\n",
"f, axarr = plt.subplots(1, 2, figsize = (16,7))\n",
"\n",
"axarr[0].set_title(\"(a) Estimated states\")\n",
"\n",
"axarr[0].plot(np.cos(np.linspace(0,np.pi/2,100)),np.sin(np.linspace(0,np.pi/2,100)),'k')\n",
"\n",
"axarr[0].plot(lie_est[:,0],lie_est[:,1], 'o',markersize = 10,label='Constrained LI')\n",
"axarr[0].plot(corr_est[:,0],corr_est[:,1],'o',markersize = 5, label='Hedged LI')\n",
"\n",
"axarr[0].set_ylim([-0.01,1.01])\n",
"axarr[0].set_xlim([-0.01,1.01])\n",
"axarr[0].legend()\n",
"\n",
"axarr[0].set_xlabel('$X$')\n",
"axarr[0].set_ylabel('$Y$')\n",
"\n",
"rsq = np.linspace(0,1,100)\n",
"theta = 0\n",
"rho = np.array([(r*np.cos(theta),r*np.sin(theta)) for r in rsq])\n",
"\n",
"r_lie = risk(N,rho,lie_est,sq_error,)\n",
"r = risk(N,rho,corr_est,sq_error)\n",
"\n",
"axarr[1].plot(rsq,r_lie,label='Constrained LI',linewidth = 3)\n",
"axarr[1].plot(rsq,r,label='Hedged LI',linewidth = 3)\n",
"\n",
"axarr[1].set_color_cycle(None)\n",
"\n",
"theta = np.pi/4\n",
"rho = np.array([(r*np.cos(theta),r*np.sin(theta)) for r in rsq])\n",
"\n",
"r_lie = risk(N,rho,lie_est,sq_error,)\n",
"r = risk(N,rho,corr_est,sq_error,)\n",
"\n",
"axarr[1].plot(rsq,r_lie,'--',linewidth = 3)\n",
"axarr[1].plot(rsq,r,'--',linewidth = 3)\n",
"\n",
"axarr[1].set_title(\"(b) Risk comparison on rays\")\n",
"\n",
"axarr[1].legend()\n",
"\n",
"axarr[1].set_xlabel(r'$\\|\\boldsymbol{r}\\|$')\n",
"axarr[1].set_ylabel('Risk, $R(\\\\rho,\\\\hat{\\\\rho})$')\n",
"\n",
"subax = add_subplot_axes(axarr[1],[0.1,0.05,0.4,0.4])\n",
"\n",
"rsq = np.linspace(1-1/N,1,100)\n",
"theta = 0\n",
"rho = np.array([(r*np.cos(theta),r*np.sin(theta)) for r in rsq])\n",
"\n",
"r_lie = risk(N,rho,lie_est,sq_error,)\n",
"r = risk(N,rho,corr_est,sq_error)\n",
"\n",
"subax.plot(rsq,r_lie,label='Constrained LI',linewidth = 1)\n",
"subax.plot(rsq,r,label='Hedged LI',linewidth = 1)\n",
"\n",
"subax.set_color_cycle(None)\n",
"\n",
"theta = np.pi/4\n",
"rho = np.array([(r*np.cos(theta),r*np.sin(theta)) for r in rsq])\n",
"\n",
"r_lie = risk(N,rho,lie_est,sq_error,)\n",
"r = risk(N,rho,corr_est,sq_error,)\n",
"\n",
"subax.plot(rsq,r_lie,'--',linewidth = 2)\n",
"subax.plot(rsq,r,'--',linewidth = 2)\n",
"\n",
"subax.set_xlim([1-0.75/N,1])\n",
"\n",
"plt.savefig('../fig/rebit.pdf',format='pdf',bbox_inches='tight')"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {
"scrolled": false
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"C:\\Users\\Chris\\Anaconda3\\lib\\site-packages\\ipykernel_launcher.py:22: DeprecationWarning: object of type <class 'float'> cannot be safely interpreted as an integer.\n"
]
},
{
"data": {
"image/png": 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pb2/HwMAABgcHhaum9fX1sFgswgGMJ9WBjiCUYGxsjGSTEGAYBkajEWNjY4UeCkEoDh2b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\n",
"text/plain": [
"<Figure size 1152x504 with 3 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"def cart2pol(v):\n",
" x,y = v[:,0],v[:,1]\n",
" rho = np.sqrt(x**2 + y**2)\n",
" phi = np.arctan2(y, x)\n",
" \n",
" pol = np.array([phi,rho]).T\n",
" return(pol)\n",
"\n",
"lie_est = cart2pol(lie_trunc(N))\n",
"corr_est = cart2pol(lie_corr(N,a,b,c))\n",
"\n",
"f, axarr = plt.subplots(1, 2, figsize = (16,7), subplot_kw=dict(projection='polar'))\n",
"\n",
"axarr[0].plot(lie_est[:,0],lie_est[:,1], 'o',markersize = 10,label='Constrained LI',clip_on=False)\n",
"axarr[0].plot(corr_est[:,0],corr_est[:,1],'o',markersize = 5, label='Hedged LI')\n",
"\n",
"axarr[0].set_ylim([0,1])\n",
"axarr[0].legend(bbox_to_anchor=(0.9,.9))\n",
"\n",
"mesh = 1000\n",
"rsq = np.linspace(0.1,1,mesh)\n",
"theta = np.linspace(0, 2*np.pi, mesh/10)\n",
"\n",
"r,th = np.meshgrid(rsq,theta)\n",
"rho = np.array([(rr*np.cos(tt),rr*np.sin(tt)) for rr,tt in zip(r.flatten(),th.flatten())])\n",
"\n",
"lie_est = lie_trunc(N)\n",
"corr_est = lie_corr(N,a,b,c)\n",
"\n",
"r_lie = risk(N,rho,lie_est,sq_error).reshape(theta.shape[0],rsq.shape[0])\n",
"r_cor = risk(N,rho,corr_est,sq_error).reshape(theta.shape[0],rsq.shape[0])\n",
"\n",
"cont = axarr[1].contourf(th,r,N**2*(r_lie-r_cor),25)\n",
"\n",
"\n",
"axarr[0].set_title(\"(a) Estimated states\")\n",
"\n",
"axarr[1].set_title(\"(b) Risk difference\")\n",
"\n",
"f.colorbar(cont, orientation=\"horizontal\", pad=0)\n",
"\n",
"plt.savefig('../fig/rebit_circN4betaN2.pdf',format='pdf',bbox_inches='tight')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Large $N$ comparisons\n",
"\n",
"Here we plot the relative risk for two rays in the rebit Bloch sphere: one along a diagonal and one along a horizontal axis."
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {
"scrolled": false
},
"outputs": [
{
"data": {
"text/plain": [
"Text(0.5,1,'(b) Near-pure states')"
]
},
"execution_count": 16,
"metadata": {},
"output_type": "execute_result"
},
{
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CCCGEEEIIIaBGQa/f768Y2Q0EAhXFqQKBwIKR4KGhoXUZ5RVCCCGEEEIIcfeoSdAL0NfX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\nbFj8PbgRAAAAAElFTkSuQmCC\n",
"text/plain": [
"<Figure size 1152x504 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"Ns = np.arange(10,101,15)\n",
"\n",
"rsq = np.linspace(0,1,100)\n",
"theta = np.pi/4\n",
"rho = np.array([(r*np.cos(theta),r*np.sin(theta)) for r in rsq])\n",
"\n",
"r_lie = np.zeros([Ns.shape[0],rho.shape[0]])\n",
"r_cor = np.zeros([Ns.shape[0],rho.shape[0]])\n",
"\n",
"\n",
"f, axarr = plt.subplots(1, 2, figsize = (16,7)) \n",
"\n",
"for idN in range(Ns.shape[0]):\n",
" \n",
" lie_est = lie_trunc(Ns[idN])\n",
" a = .0/np.sqrt(Ns[idN])\n",
" b = (Ns[idN]-1)/Ns[idN]**2\n",
" c = .0/np.sqrt(Ns[idN])\n",
" \n",
" corr_est = lie_corr(Ns[idN],a,b,c)\n",
" \n",
" r_lie[idN] = risk(Ns[idN],rho,lie_est,sq_error)\n",
" r_cor[idN] = risk(Ns[idN],rho,corr_est,sq_error)\n",
"\n",
"lines = axarr[0].plot(rsq,Ns**2*((r_lie-r_cor)).T,linewidth = 3)\n",
"\n",
"axarr[0].legend(iter(lines), Ns, loc=2)\n",
"\n",
"#axarr[0].set_ylim(0)\n",
"\n",
"axarr[0].set_xlabel(r'$\\|\\boldsymbol{r}\\|$')\n",
"axarr[0].set_ylabel('Relative Risk')\n",
"\n",
"rsq = np.linspace(0.9,1,100)\n",
"theta = np.pi/4\n",
"rho = np.array([(r*np.cos(theta),r*np.sin(theta)) for r in rsq])\n",
"\n",
"r_lie = np.zeros([Ns.shape[0],rho.shape[0]])\n",
"r_cor = np.zeros([Ns.shape[0],rho.shape[0]])\n",
"\n",
"for idN in range(Ns.shape[0]):\n",
" lie_est = lie_trunc(Ns[idN])\n",
" \n",
" a = .0/np.sqrt(Ns[idN])\n",
" b = .5/Ns[idN]\n",
" c = .0/np.sqrt(Ns[idN])\n",
" corr_est = lie_corr(Ns[idN],a,b,c)\n",
" \n",
" r_lie[idN] = risk(Ns[idN],rho,lie_est,sq_error)\n",
" r_cor[idN] = risk(Ns[idN],rho,corr_est,sq_error)\n",
"\n",
"axarr[1].plot(rsq,Ns**2*((r_lie-r_cor)).T,linewidth = 3)\n",
"\n",
"axarr[1].set_xlabel(r'$\\|\\boldsymbol{r}\\|$')\n",
"\n",
"\n",
"axarr[0].set_title(r\"(a) magic-axis\")\n",
"\n",
"axarr[1].set_title(\"(b) Near-pure states\")"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Text(0.5,1,'(b) Near-pure states')"
]
},
"execution_count": 17,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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b5bezszO3bNasWTz88MN4LmPr5KXSUwFKW/8Ji9EHZALe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m/dunWJmiqDMarQt/8BeGJpTa50kMuuTuyEkhBtlHd2lhXcMNLg9O2K9LcXURThJzEhTCns1eqK\ntLamN0jUnoamHo2stL16VSMrQoyQtEZWLNLLiDPhsITdu/wo/yIIKfZW53hg3ulWnPG1/s2q4g3J\nyAK3fBW4x54Fue0eYPoc/Q61x+F7+nFI994kG1811vd8ojhTXl6Od999Vxnn5uZi2bJlMJuHvqCW\nLJh9e2BrVw27/OkX6YyERpLDLVvQFhPbHDHizPybQcjw3pN8JAJ7k5oy783PBbixIR0sBg4PnT8J\nU9Lk95VEgf/6oA4HGrvXtY4VCCGYfYrqVXGiKgKfZ3jpw1arFYWFhcr48OHD3fYRzAWQeNlHgxP9\nMITVRWc5vVm+X7aHjiMqhhC1aUTvOHJwHhvvXEa/dF25KSoqStBMGIyxAW1qAN22URmTld8GsQw9\nNXeiUqEVvcOo5wW61PQ69bcXrcGGTYiAO6I6TeoivbHbkhEmcLEbscRxSi1c10ivUWNkpavpZaKX\nEUea3VHs/JcP7jrVrMrp4rD4ohQUlw7erCqeEINR7vt7z2/A/fz3snO9SSMwg37Z+Oqh2yH+4WHQ\nii9HLPV53759eOedd5RxTk7OhBG8fLgBzsZ/KuOwfTYCaeeNyrU7Im7sa3xVGc/JWo4Uc96wz5tS\n7waJvVckpxMh19hqA+gw8fjFhZORF+s4EBEpHn7vJGrax25br6wcI7Jy1fvYwThEe6dPV6O1PaY4\nEw5hTUTXrGldZOLtcMVqfikktIYqu0R6x0+vXmZvCmDD/hsTdu1r5vyt332KiopQWFiITZs2YenS\npXjhhRewdu1a3T6rV6/G3r17cc4557BIL2NCIP3jeUCINWOfMh1kwfkJnU+y0tW5eahEIpJi5sPx\ngNWmF70dHaqwdURDQP0JUG+b7FQraEWvLB70qc3quVK7tCzitZFenZEVE72M4SNJFIf2hXD0gP4h\neso0E2bNt4KPc+3ucCGTikFW3QG68tugH/4b3M4tEOtjUR1Kgb27Ie3dLbd1u3ApyMILQMzx6bW6\nf/9+/Pvfqot+dnY2li9fPiEELxGDcDW8AELle5JgzIA3+2p93fUIQSnF7rrnIFK5vjzVUoiZmZcN\n+7yGQBDWNrVOVpw2FRCFPo5IDKkWA35+wWTct/U4PCER/oiEX7xzAo9dXIQs+9h0CJ85z4KmBvm+\n13AyivZWAanpQ5dkJSUl4HkeoiiipaUFLS0tyMjI0O0Tsc+E1fcFAMAUOAh/xkXKtkzbdHhi0d/m\nwGHkZMwEhRz/NYTDIKKY0DrueMEivUnC+vXr8eijj6KgoABPPfVUt0jvvHnzUFFRgdTUVNx7770J\nmiWDMTrQg3uBLz5Sxtw1t4CMkZSrZKLJH0WjX35IM/MEU9OH/vDr10R57Q6uW+TL51NrrezRmIA4\nvB9AFyOrWD1aTz16ga7pzYLS+1Du06tek2ORXsYw8XeI+GBHh07wmswEZ51rx9zTbGNO8GohNge4\nJVci48n1svHV3NP0O9SfAH3xj5Du/R6kf/wfaEtTzycaIBUVFdixY4cynkiCF1SC0/0yDFE5DVgi\nJnhybwTl47OY0B9V7TvR6JczZwgIzsy/OdbCbRhQClddg/ItGnQ6QdNS+zwkkeSlmPDzCybDYpCf\nA1oCAn7x7xPoCI9N5+HUdAPyJqmCfLi1vSaTCVOmqP2fe0pxjlingXZmUoXrQDSLzZm2acrPnWZW\nQszMigAwhMZu5HwwsKfEJOGSSy7Bgw8+iNraWqxatQrXXXedsm3z5s1Ys2YNAODOO+/Eiy++mKhp\nMhgjDpVESBv+rIzJgvNBps7s4whGb2jreWdmWWHghlPP23u7IqCHSC8Aekx2kSQa0Rum8kOKhXbv\n0Qvo+/R6wiK42JAjBkgacw6W3swYDierI9j5Lx/aW9WH5swcA877Rgpy8sdm9KgnFOOrH/0C3MN/\nBLlwKWDWlIEE/KD/ehXSg7dCeuZx5TM5GA4cOIDt27cr46ysLCxfvhwWy+iIvkRja3sH5oD6d/Pl\nfBOiOWdUrh2MtuOrhpeU8fSMS5FuLRn2ec2+Dphj39kUgC9/dH6f4TA13YIHFhcgpntx0hvBb3ae\nRFQcvkPySDBjrvr5aKwX0No0vCh6VxfnriUMlLcgalFrf03Bo8rPWtHbEjgKSiUIms+vMTQ+UpxZ\nejP6TjE2GAwQhMSmc2zatAkAsHTpUgDAHXfcgSeffBLl5eWYN2+eLuqbmiqvxHk8HrhcrtGfLIMx\nwtD3twEnq+WByQyy8jsJnU8yUxGn1Gagi4mVs/t6ql70yqvGtFKuK9IaWYVi6YE9OTcDgJHnYDdx\n8EckSBSIxIQu4YyQdJFeDkhwyxZG8iFE5d67J49HldcIB8yaZ0HJjMTW7g4XklsAct1toMtXgX64\nA3THm0CT3M8VkgT62S7Qz3YBJTPAXbQMOHUhSD8pjQcPHsS2bduUcWZmJlasWDFhBK/Jfwj2VjXC\n7U89F2HHvFG7/hcNf0VUkhcvHaZszM1eOfyTUgpnXYMyDGSk6wTQWOaUPDt+tDAfT3xQBwDY1xjE\nHz5uwN2L8sbcZzfFxWNSkVH5rjlYHsTCCxxDnmdRURFMJhMikQi8Xi/cbjdyc/XdLCK2qTCFqgEA\npsBRhFNOAQDYjdmwGFwICR5EpQA84VqkWCywQm6Pahgndb0s0pskdIpZLVq3tk5qamoAgAlexriE\nBvygr7+gjMmlV4GkZfRxBKMv9P15hyt6NenNA4z0oqYSNBLWid6wJNel9ZbeDAAus7peG5Biohc8\nQAERYzOdjTH2aW8R8N5Wn07w2h0czvm6A1NnWsbcQ/NQIVYbuK9fAe7XfwT3g4eAGV1EWuUhSM88\nDmnNakhbXwcN9uyGO9EFLx9tgdO9HiTWVzxiLYE/4xujdv2T3s9w0rtbGZ+RdxMM3PDTya1t7Upk\nT+I4+HKzh33O0WRxsRM3npKljN+r9uKlvc0JnFHvTJ9r6fRoREuTiGb30INsBoMBpaWlyri3FOdO\nTMGjysIwIQSZVm2094iS3gyMn0gvE71JwLnnnou9e/eivLwcAPDCCy+gsLAQLpcLO3fuxLXXXguP\nR16NeeSRR3DHHXckcroMxohB39oAdMSczNOzQC5ekdgJJTHtIQEnvbLANHAE0zKG96Dq9/bergjo\nInrtsX69QhTk5CGQWB2vxFkQiUUtzJr0Zq2RFaBPce4Q5OsSwoFKnK5XL4v0MgYCpRRHD4Swa0cH\nAh3q+2dSsRGLL04ZlsHMWIZwPMj8s8D/5BFwP/sfkEVfBwya37WlEfSV5yDddxOkV54HbVXrfg8d\nOoRt27YpKZQZGRlYsWIFrNYJ4qAvReCsfxGcJIsB0eCCJ+c6gIyO2U9E9OPz+r8o4ymp5yHHMaeP\nIwaIJMFZ71aG/qxMSMbkSefv5KrZ6fhGqRosenlfC7Ydbe/jiMRgd/AoLFF7Vx8sDw3LWX3aNFW4\nHjt2rNu5BMskSEQWs7zgAR9VFwMybKpgbg1WIWpV78HjpaZ3fH6TjzNcLhc2bNiAe+65BzU1NSgr\nK8OGDRsAAIsXL8a+ffuwcOFCpKam4vLLL1fqexmM8QR114Hu2KSMyTe/C2KaACYpI4S2VdH0DAvM\nhqGvgVKJwt8x8JrelILJQF0lAICcPADky69LvAMRUV7U6CvSm2pVb12+TtELHhIlECEpNzbCRC+j\nH0JBCV9+EtBFWAwGYN4ZNkwqMvVx5PiCTJ4C8r0fya7P774N+u5mdYExGADd+hrojjdAzjgHR2af\nja2ffzlxBS+lcDa9BmNE7ntMwcOTewOowTFqU9jjXo+QIIs4i8GFU3Kv6+eIgeFoagYflTMdRIMB\nHdmZcTnvaEMIweozc9AciOLzOjmT6I+fNiDHYURZrj3Bs9MzbbYFJ6oikCSgvVVEU4OA7LyhLTRM\nmjQJZrMZ4XAYPp8PjY2NyMnR1GMTHlFbCcz+AwDkFOegSY6Kp1lVI6zWUBVEkwkSIeAoBS8I4AQB\nkiG5ZSOL9CYJ8+bNw5YtW1BRUYH169fr0pfvuOMOVFRU4MMPP2SClzFukV55Tm2XUDoL5IxzEjuh\nJEdbzzvc/ryBgIRYljHMFgKjSZ8GKkkS/H41hdleovYL5N2V6n68A5GYqZUZPRtZAYDLrI69EW2k\nl7BIL2PAuOuieO9fPp3gTU3nsfgbKRNK8GohrjRwy24A99izIDfeAeQWqBtFEYcPHsDW3Z8pgjc9\nPR0rVqyAzTa875Bkwur5CBbfV8rYl3UlBMvkUbt+o/8AKtveVcan5X0HJn74Qo4TBDjcajTfl5ud\n1G1qeI7gnnMKUJImL6CKFHjs/VrUxjKcxgpWG6eL9h7eP/RoL8/zKClRjcyOHj3abZ+IVY3oas2s\n0i1TgJgBpCd0AgKN6mq5x0NdLxO9DAZjzEMrvgL2fKqMuWtuGTf1dYlCX887vAhNh1cb5e1+W/H7\n/cpN3Gq1wlCqum2TtpPKz7LolcWxmfZsZAXoI73tYREGoyp6JY3oZZFeRk+IIsW+L4P49H2/0lsa\nAEpnmfG1rztgdyTvg368ICYzuMWXgPvl/8p1v9Pn4qgzG9smzwWN9Z5NC3VgWeUXsJTvBhUnRi29\nMVgNR/NbyjjoPAMh11mjdn1BimB33bPKuCDlDEx2nhmXczsaGsHFVi+jZjMCGelxOW8isRo5rDl/\nEtJi94yOiIRfv3sSvjHWyqh0lgWdXRfbWkQ0Nw69tnfq1KnKz0ePHu0moCMap2Zj8BgQ65hg5K1I\nMeUBACgktIeO6+p6DeOgrpeJXgaDMaahogjpZfUmTxZeCFI8rfcDGP3ij4ioapNrdDgitysaDlrn\n5n5NrBwOYFIxYJDTtzhJjQALnA0RMVbT21d6s6amtz0kwGAgsfRmTid6wTQvowsdXhG7tneg6rBa\no2a2ECw8345ZZVZww2jbNR4hHAcy/yxUrbgJW4vn6wTv8qovYDtxFPTPT8imVzs2gYbHR+1fT3CC\nF86GlxQPgqi5AL7MK0d1DvsbX0VHRK65NXI2nJ737biclw+HYW9pVca+/FxgnCwsZ9qMWHNeAUyx\nvtp1vggee78WgjR2bhBWG4fJU/TR3qFSWFgIY6wO2+PxoLlZb+IlGjMhGuRsUU4KwxBSF57TtSnO\nXep6jeOgrjdhotftdmPjxo3Yu3cvNm7cqEt960plZSX27t2Ljz/+GOvWrYPb7e51XwaDMb6gu7YB\ntcflgdkCsvLGxE5oHHCgKajowSlpFtiMw4ts+bU9evtpV5SSkgJiMAJF8mo0Z1OjtiHeiE6laoWa\nrtctvdmiHuMJCTAYCUA4UBEs0svoEUopairD2LnVB2+7ukiTk2/AeZekIDMn+cx6Rotjx45hy5Yt\nSsQozZmC5fnpsGk/6i2NoOvXQbr/Zkib1oP6fYmZ7EhBBTgbXgIvyr+XxNnhyV0FcKP3vmkNVuNQ\ny2ZlPD/3OliNaXE5t7PerXxfhu02hJwpcTnvWGFahhX/sShPGZe7A/jTZ2NLS5TOUp2cW5uGHu01\nGAyYMkUVr8eOHdPvQEjvKc460VupT29mkd6h89vf/hbLli1DWVkZlixZgmeeeabXfR9++GFMnToV\nCxYsQElJCdatWzeKM2UwGImCBjr0LYouuQoklbUoGi5aE6vZw0xtBvTtivozsXI4ZLMXUjIDAMDb\n1P1DGm9FC9R59eXe3B4SY5Fernukl4V6GQCiEQlffBTAnt1BdGbhchww9zQrzjzHDrOZJb31xrFj\nx7B582ZIsbTXtLQ0rLz6W0hZdTu4tc+BXHk94HCqB3R4QTe+BOm+myG9/CxoW0uCZh5fHM1vwxSS\nF18pCDy510Eydm8lOVJIVMDuuj8rngXZ9lkoST0vLuc2+gOwtnuUsTc/b9xEebV8rdCJG+arxlxb\njrRj8+G2BM5Ij82uj/YeGUa0V9u66MiRI922RzROzaZAb6K3ClGN6DUGQ0nvk5EQG67KykrlwQcA\n7Ha70o6nJ5588knYYy0uHA6H7gFKy/bt27F9+3YAwNq1a5GZ2bPrnNvthmEQDmSD2TfZMZvNvf7d\n+sJgMAzpuIkG+zv1j/Zv5Pu/vyMQcxDlsnKQed0tIGbm2AwM7710uK1W+Xnh1JxhvycDHWpUZ3JR\nJj6ejBkAACAASURBVJwuffRD1NT7ZWdnIzMzE6H5Z8KzbSM4u/r9SuxqdNdMLIpmdWVmAhqjnCmG\nIAC5J7kvQmHLMKG9VexW05uWmso+cxOc1mYBX3wcQNCvrzs/baEdrjRWu9sXXQVvamoqVqxYoTyP\nkRQnyBXXgl68AvSDbaBbXwdaGuWDwyHQbRtB33lLLkm5ZCVIdn6ifpVhYfF+AZvnI2Xsz7gEUdvU\nPo6IP4eaN6M9Jrp5YsQZeTfHx9eCUjjr6pVhMNWFqH38mpJdPScDJ9oj2Hlcfq7402duFLrMmJMz\nNn7n0llmnKiKgFKguVFAS5OAjKzBa5CioiIYDAYIgoC2tja0trYiPV2t0dZGeo2hGhApDMqZkWop\nAoHc+s8XqUeYi0LiOHCSJP+LCpBMyZsVkxA119jYqHxpduJwOOB2u/XW2jG0+27btg033HBDj+dd\nsmQJlixZooy75rF3Eg6HwQ/Qka7zTTNRCIfDvf7d+iIzM3NIx0002N+pfzr/RtRdB2nTK8rrdMW3\n0eLzAb5xljY3RIb6XgoLEg641b/hJIswrPdkNEIRDMiiluOAcLgdzc36h7GmJtURlOM4+f83S041\n06Y3t2rKXExUvbG2er2QAmp0WoqqIro1EIGULrfYkEReJ3rbW9uQarfH5TOXn5+cD+wTFSpRHDkY\nxuF9IV1worDEhDmnWmEwjL9IVjyprKzsJnhXrlypC1h0QsxmkAuXgi6+BPSzXaBb/qmWpAgC6Ptb\nQXdtBznjayCXXQ0yqXgUf5PhYQjXIaXpNWUcss9FIPXcUZ2DN1yPfZo5zM2+Cinm7s/KQ8Hi9cHs\nl79bKSHw5sXnvGMVQgh+sCAXtb4wjrWGIVJg7fu1eOKSYmQ7Ei/m7A4ek4pMOFEtO0wfPRBCRtbg\nW2EZjUYUFRUpqc1Hjx7FWWephmvU4EDUlAdjpB4EEozBSkTss2DgzHBZJqE9VAOAoi18HLlWi/Ie\nMYZCCCex6E1ITk9vkdq+6no7a4DLyspQVlY2UlNjMBhjBOkfz7MWRSPA4ZYghJgunOQ06epjh4LO\nxMrBgfRgBOTTLFQoD81pmYArXRfpDSF2LqoXvV1req0GTjEliYgUJLZZonwXI6vkTsViDI1gQMJH\n7/lxqFwVvEYjwemLbJh/po0J3n6oqqrC22+/rQhel8vVq+DVQgwGcAvOB/fz34P7wU+BqapLO6gE\nuvt9SL+8C+KTvwatPDSSv0JcIGIArvoXQKh8HxKM2fDlfHNUU38plfBZ3bOQqLywl2aZgukZl8Tr\n5Loorz8jHeIEyKQyGzg8sHgSXLEyGW9YxKM7TyIsSP0cOTqUzlb/DxrrBZ0HwaDOo0lx7ql1UbSX\nFOc0y/it602I6HU4HN0Ebm9CuJOcnBwsW7YMdrsdDz/88EhOj8FgJBh6YA/w1SfKmLUoih/7Nf15\n5wyzPy/QpZ7X2XMGTY81vYQAJdPAa0Vv7OHSBBNIrF+gxHHdHjIJIUjViHUxtlmSeEiEGVlNZBpq\n5d67LRoTmLQMufdu/uSJ2Xt3MFRVVeGtt94atODVQggBmX8muPseA3fPo8CcU/U77PkU0m/ugfi7\nn4Ee3hfP6ccPKsHpXg9ekGs+JWKGJ28VKDe6ovBY27/RFJAXCAh4nFlwMzgSn7R8W0srDGE5oihx\nHDpys+Ny3mQgy27EA+cWwBBTQVVtYTz5ScOQ++PGE0cKj7xJ6qLv0QNDE5rFxcXgYn2Qmpub0d7e\nrtsesaop+sZgpfJzulXt8yvX9Zo1+zHRO2iys3v+YGkbKnfSGeHtZOHChSgvL2cOzgzGOIWKIqQN\nf1bGrEVRfIlnf15AbgHTSU/OzZIk6RY5tQ/P3NRpIEb5GCoCYVG+oWrbFXXt0duJS2NmFY1Fd6nE\nMyOrCYooUpR/HsDuXX5EI7H/dwJMn2PGogsdsNmZWVV/dBW8TqcTK1euRErK0Jx8CSEg0+eC/49f\nglvzBHDaQv0OFV9B+n8PQnz8ftCKr8aE4OjE3rod5oBqAOTNuRqiKWtU5xCItmCPe4Mynpl5OdIs\nRXE5NxFFpDSoz9EdOdmQJpB/DQDMyrZh9Zm5ynhntRebDo0NY6vSWeo9sPZEFP6OwUd7zWYzCgsL\nlXFVVZVue9RaDBqTgYaIGyTWLlAvertGepO7bVFC7gIlJSW6lX+324158+bpxp0PSW63W5ca53a7\nYbfbe6z9He889dRT8Hg8utc8Hg+uvfZazJ49G/fee++AtzEYY5Xg9jdZi6IRQpAoDjWpkd7ZcY70\n9tSjNxAIKA+zVqtVZwzIT5ms/CwGJYQl+b5ghnqTlfieb1PaSG84dv5u7s1jqA8jY+TweUS8v82H\n6qMR5TWLlWDR+Q7MmMt67w6E6urqboL3qquuGrLg7Qopngb++w+A++WTIGefBxDN5/pIBaTf/QzS\nY/eB7vs84eLX1LEf9rZ3lLE/7QJEHHNGdQ6UUnxW938QJHkhMMWUhzlZy+J2fkdjE3hBFlKC0YiO\nrInZFeHi0lRcXOpSxs9/0ahbGE4UqekGZObE7nEUqDw0NLGpDSZWVlbqtlHODMEse1UQUBhD1QAA\nl3kSOCJf2x9tgt+oZs0YQsnt4Jywpc/Vq1crfXo//vhjrF69Wtn24osv4qOPZKe8srIylJaWKs7M\nr7/+On76058matoJY9OmTXjkkUe6vX7PPfdg8eLFqKioAADdPn1tYzDGIjTgR8dLaksycuk3WYui\nOHKsNYSwKN+wsu1GZNmHb0jh10R6U1L67tHbNUWSy1X/byVvCOGwnH5lpuoqd9d63k60kd6Q1Bnp\nNSgtPeTx0GqhGMkBpRTHj4Wxc5sPPo/6/55bYMR530hBRvbEilwNlerqamzatGnEBK8Wkl8I7pb/\nBPfrp0C+tgTQfr6PHYT0P7+E9OhPQPfuToj45SONcLpVA8WwbRr86Uv6OGJkqPF8hPqOr5Txmfk3\ng+fik57PRaKwN6rmfr68HNmFcIJy2xk5mJYhL7SKFHj8/Vq0BKIJnhVQOlO9D9ZURRAODb7mWNuv\nt66uDqEuNbkRTVTXFJQjwTxnQKpFjRA3CzUQY4vVHKXgIxEkKwm7I5SUlCgrEF2NqX784x/rxgsW\nLFB+1rozTxRuu+02eL3ebq97PB7s2rVL6Vu8Zs0aLFy4EGvWrOlzG4MxVqFvvQzqjdWdpGeBXBS/\nlW1G/FObJYnC36GJ9PZQ09ujiVUMnlNvnpJfQCQgP4hpI729pTdrI70BSYIFPCR07dM7cZz3Jxrh\nkIjPPgyg4aT6cMrxwJxTrCiaamIeAAOkJ8E7nJTmgUKy80G+exfoFdeCbvkn6K5tQGenjOojkP7w\nMFBUCu6K64CyM0bl/5NIYbjqXwBH5aiaaEiDN+cafVR6FAgJXnzR8DdlXJr2dWTZZ8Tt/M4GN7jY\ngkLEakEwbfT6DY9FjDyH+84twH9uroYnLKI9JOKx9+vw6EWFMCQwSyQzxwBXGg9PmwhJBKqOhDFz\n3uDu252ZsW63G5RSVFdXY+ZM1WAuai0G2ncCAIxBNf053TIFrbE6XznFuQx8hxDbL5S0hmcTd2kn\niVi3bh3Wr1/f7fU9e/boFgxcLhc8Hg88Hk+f2xiMsQhtrAPd8aYyJt/8LogpOb9YxyoVOtE7/NTm\noF9C7FkZZguB0dj9AUEb6e36IM2JqiAW/QLCUXlxT1vT21ukN1UT6fXH0vQkiWeR3glAS5OAjRtO\n6ARvipPDuUtSUFxqZoJ3gPQmeJ1O56jNgWRkg7vh++AeWQdy4VLAoMk+OX4U0pMPQ3rkP0H3jHDk\nl1KkuF+BISq3V6PEIBtX8fZ+Dow/Xza8gIgof2/ajBkoy7kmbuc2BIOwtqp1q978vFF1ox6rZNmN\n+Mk5+ejUuIeag/jLl40JnRMhRFfbW30kgmh08J8BbYpzt7peSzFozDTSEK4DiflqdDezGh91vSz3\nB0D+V+UJu3bdKfP636kXvF5vt5uTy+VCTU1Nn9u09dMMxlhBekXTomjqTNaiKM5IlKJiBOt5e3Nu\n1kZ6u4leQRXEkl9AmMqR34GlN6u3L68gIgOASDmd6AUdGy0oGPGBUorD+8M4XBHSeZQVl5owe74V\nPGtFNGDGguDVQtIzQa67DfTSb4L+61XQ97YA0VgmSEz8ongauCuvA+aeHv+FjbotsPj3K0Nv9kql\n3nE0qfV9gRrPR8r4jLybYOSHn5UDAKAUrtoGdP7lQs4URFIG3wN2vFKWa8eNp2ThL1/KCx9vHGzD\n7CwbFhaObNZDX+QVGGF3cPB3SIhGKU5UhlEyw9L/gRqmTJmilIweP34coiiCj91XKW+FYM6DMVyn\n1PVG7DN1orctWAUhU72mMYnbFrFIbxLT1X4ckBvI97eNwRhrdG9RdCuL1sSZmvYw/BH5ATfVwiM/\nZfj1vDrn5h7qeYG+05s5URW9ol9AxCAveujTm3szslLFsDcai/RSHlSjhqjERO94ghCCaERSBK/R\nRHDmOXbMO93GBO8gGGuCVwtJTQd3zS3gHl0HsmQZYNTUsVYfgfT7X0H6zT2g+7+MW+TXFDgMcuI1\nZRxwLUQ45dQ+jhgZImIAn9f9nzIudp2DvJSy3g8YJGZfB8yxzBsKwJuf2/cBE5AVs9Jx1iT1PvX7\nj+tR70tcDSvhCEpmqIvAlUcikAZp0JiRkaF8tiORCGpra3Xbo5q+vMZgNQAgxZwPQ6w9V1BoQ4dB\n/Rskc69eJnqTmNTU1G61vp1it69tDMZYomuLIsv5l4JMYS2K4s2+LqnN8VhUGGyP3u7pzeq2cFgA\njd2RrFCj0L2mN1vVSG97RE5zlai+ZRGlLL15sHS2Cdy7dy82btyoazfVlcrKSsWMct26daPSSnDW\nfCucqRxyC6w47xspyC0Y/uLNRKKqqmrMCl4tsvi9WRa/X79Cn/ZcdRjSf/8c0uMPgB4aXqYeF22F\ns2E9SGwlJWIpRkfm5cM651DZ416PYKwvsJl34pTc6+N3ckrhrKtXhoGMdF0rGoYMIQQ/WpCH7JjJ\nYyAq4bH3axEWEreAOqnYBKNJvl8H/RIaagdnskUI0RladU1xjljVbaZYHS9HOKRq2mM1okH52RCO\nJK2DM0tvRt8pxgaDAYIwNs1QnE5nNyHr8XjgdDr73MZgjCXorm1qiyKTGY5Vt6MtOb9PxzT7G9XU\n5njU8wJAh29wkd7u6c3qtqAgonMd1krUlfZejazM6uutYTXSC116MxO9g+W3v/0tHnvsMQDA1KlT\n8cwzz3Qzl+zk4YcfxpNPPgm73Y6Ojg6sW7duxLsr8DzBgvMcyMvPQmtry4hea7zRWx/esfxcQFLT\nQa69FfSSlaCb/wm6c4tqeHW0AtJ/rQFmloFbvgpk6sy+T9YVKSIbV0nyd6PIO+HNvR4gPX/njCRu\nfwUqNW2STs/7NsyG+KXV2lrbYIzVYkocB19udtzOPd5wmHncd24B7tt6HIJEUdUWxp8/d+POs/MS\nMh+DgaC41IQjFfL/X+WhMPInD87Ju6SkBHv27JGPr6zE4sWLlYXvqLVYvVa4FpAiAGdCqqUQzYHD\nAIDWSA1EwzTwggASc3BORjMrFulNYubPn4+amhpl7PF44HK5UFRU1Oc2BmOsQAMdoK+/oIzJpd8E\nn5GVwBmNTyilcXduBoAOb9+RXkEQEAjI1yWEwG7Xm8JoI71BjemUlfQf6XWYecV0xBMzsqKUAyWs\npneoVFZW6lLQ7XY7yst7j6R1Cl5ATl3XRvVHErOFY713B0lPgveqq64a04JXC0nNAHfdbbLh1XmX\nALwmZnNwL6S190L8/a9Aayp7P4kWSuFsfA3GiBz9pISHJ+8GSHEUmgNFkELYXfusMi5IOQOTnGfF\n7fxEFJFSr2ZhdGRnQTKyDIm+KM2w4JbT1YWBrUc9eL+6exeV0aK41KyYiLe1iGhrHlwwLj8/HyaT\nLJR9Ph9aWtQFQ8rbIZhyAAAEEowhOQiRalbbFrWHaiBoRK4hnJxmVnGP9O7btw9z586N92kZPeBy\nuVBWVoYXXngBq1atwiOPPIIbbrih320MxliBvvUy0BG7kaRngVy8PLETGqfUeiPwhGRhmGLiUJg6\n/BXaSFhCJCyH5DkesNr6dm622+3gtL0gKdW5N4c1AlVb09ub6OUIgdPMoz0kQoilJorUAKppU0SZ\n6B0UjY2N3RYmHA4H3G43cnJyuu2v3Xfbtm293mO2b9+O7du3AwDWrl2LzMzMYc/VYDDE5TzjHYPB\ngObmZrz99tuK4E1LS8P3vve95PT5yMwEpv8M4vW3ouOV/0Po328DnQtm5Z9BKv8M5kUXwnH9rTAU\n9LHIX78dnKYPLjd1FVIzTxvhyffMrqPPwB+VnYLNBgcumnM37Ob0uJ2fP1YJPhYdp2YzLLNmwNLL\n92pfTLTP3KqMDBzxiNhxWG6l99RuN84szcOk1L4XjUfq7zR1OsXRg/I98+RxYNrMwV1j+vTp2Ldv\nHwC5jEXbuoj4ZgOx8pRU0gCauRCiqQyfxTLifdFaGFJdQKzcxcUbIQ3zd0zE+2lIoveBBx7Az372\nM1it6n98IBDA008/jU8++QQbNmyI2wQZwL333otNmzYBABYuXIiysjKlhdEzzzyD1atX49FHH8XS\npUt1fXj72sZgJBrqrgPdsUkZsxZFI4e2nnd2tg1cvOt5U7gea4T7Sm0mNAxCYw9ilEdIE3jQujf3\nlt4MAHaTLHoBgDMA0SgPCk29EzOyGhS9RWr7qut1u934+OOPUVZWpmuTp2XJkiVYsmSJMm5ubh7e\nRAFkZmbG5TzjnebmZqxfv14X4V2+fDkEQUjuvx9nBK65Fdz5l4O+8XfQ3TuVOsPwh/9G+KN3QRZd\nCHLFtSAZ+lReY6ASqXWvKOOg80yYM89JyN+jOXAEe2o3KuP52dch6JMQ9MVnLlwkiuxqNeuvPTsL\nwba2Po7onYn4mbvllDTsr/OgoSOKQETEmjf3Y+3FRTDyvd9DR+rvlF8IHD0o/3z8WAdqjjfCZh94\nwm5BQYEievft24c5c+Yo28wkD67Yz9GWCrRbzwWVHCAgoKBoD9bCa48gLbZPuLUVHvvwMsbi9XfK\nzx+4y/qQ0pttNhvuu+8+NDXJtt47duzAnXfeiWAwiOeff34op2T0weOPP46KigrU1taioqJC17PX\n5XJh/fr1qKiowOOPP647rq9tDEaikV55Tm1RVDqbtSgaQUaknlfn3DwEEytNuyLRkIKIRX2IMFG1\nXknqxb0ZABwmdRvHd7o3s/TmoeJwOLoJ3P5SlnNycrBs2TLY7XY8/PDDIzk9xiA5duwYNmzYoAhe\nl8uFq666qttnMZkhOfngbv1PcD//PXDqAnUDlUA/2A7podshrf8TqFf2OOGi7XC5XwKJfU9EzZPh\ny7oyEVOHKEWxu+7P6LQjz3XMQ3HquXG9hrO+AVxsMSBitSCYnoTR/QRiM/L4yTn5MMRuNUdbQ/jr\nV4np3+tK45GZLccqKQWqjgwuxbioqEhZnHa73UrpESD36+3EGDoBSFEYODMcps46ZgoPUdO7kzW9\neUii96c//Snmzp2L++67Dw888ABefPFFrF69GmvWrIHNFp8HKgaDMX6hFV8Cez6VB4SAu/YW1qJo\nhKCUYr9b79wcD/w65+YhmFhpUpupIQWRNDVV1iSpIrq39GYAsBs12zhAggFgonfIZGf3bG5TUlLS\n7bVOl+dOFi5ciPLy8lFxcGb0z7Fjx7B582aIorw45XK5sHLlynEleLWQgiLwdzwI7sEngNmnqBsE\nAXTHm5AeXA3pzRfgqvsrOFFe2BF5Bzx5NwAkMZ6u+5tehzdcBwAwcBackXdTXO+DxkAQtjbV0NSb\nnwew++ygmZZhxXdOVb8b3zjYhs9qR8e/oCva9kU1lWEI0YG7flosFuTlqWZcx48fV36WDCkQjLKf\nCoEoC18AaRa1rreJqu7fhtAEEr0AcNttt2HZsmWorKzE6tWrsWDBgv4PYjAYEx65RZFq2kEWXghS\nVJrAGY1v3B1RtATliLrVwGFKWnxSyH2+wUV6++rRKxlSEM6MGepQwEDV8/WV3uwwacQxB1Cpa6SX\n2YAPhpKSEt3/mdvtxrx583Tjzkiw2+3WLWq43W7Y7fYea38Zo8vRo0exefPmcR3h7Q0yZRr4u38F\n7j9/DZTMUDeEg3AKH8AYjRlXgYM393pIBlcvZxpZWoPVONislveUZX8LdlMc6xu7tCgKOVMQSXH0\ncQCjL66YkYYzCzT9ez+qR1tw9Du7ZOcZYI91ShCiwMnjg+shrDWz1YpeAIhqWhcZQ3Jbo1SN6G0Q\nqkFjiya8IICIydcdYUDLWy+99FKv27Kzs/Hb3/4Wy5YtUx5qrrwyMakiDAZj7EN3bgHqYjVGZivI\nihsTO6Fxjr6e1wo+Tq63eufmobQr0ohe3oGIywqgHSaYlGiHxHF9RibsmvRmiaOQYASFRuiySO+g\nWb16NTZu3IgpU6agqqoKq1evVra9+OKLKCsrw5IlS1BWVoZAIKAYVO3du3fE2xUx+ufw4cP417/+\nBRpb8MnIyNA9n00UyMwycPc/Duz5FNJrf4MttwO2eWpqr/cDD8LTq0HOLgThRrdFkSgJ+LR2nbJA\nl2WbgdL0r8f1GmavD+YOeYGKAvDkJ6bdzniBEIK7FubhR29VoTUowBMW8fuP6vHTCybFxSNjMPOY\nUmrGvi/lkqWqI2EUTTUNOEOgqKgIH330EQCgpqYGkiQpBpNRSxGsXjkDzxiSn9G0vXrbwjUQTItg\njKU2G8JhRJMsu3dAoreysncL+JycHOTk5Cj7EEKY6GUwGD1C/T7QjeoiGrn8apDU+LlUMrqjreed\nHafUZkmiCHSogtLeS6RXK3q7R3rVbRLvQMQmn8OMgZlYAbKRVScCKCSpa59eJnoHS0lJiZLO3NWY\nqmu/Xm2Gl9aoipEYugretLQ03HTTTQgnaf3dcCGEAKecDfO0DDjrnkNn7WygvA2BXXXArt+Bbn0d\n3FXfAT3volGb18HmN+EJy+mjPDHizPxbQEgcO4hSCpcmyuvPzIBoYSaRw8Vp5vEfi/Lw8x0nQAF8\nUe/HpkNtuHLm6D7DTJpiwoHyIERBXnxuaRSQmTOwFlRZWVmw2WwIBAIIhUJobGxEbm4uACCqieoa\nQycAKukivZ5wDQSzSRW9oXEqeh966KGRnseoQlnKW6+wvw1jJKFvrgf8MbGTmQOyhC2QjTTa/rxz\n4yR6Ax2SkjlssREYDN1XmSml/dT0atObHYiYJEDo2q6o7wdBrZFVFBQSDF369LLvM8bE4ODBg9i2\nbZtO8HbW8E5U0QvIxlWpjetBiPx3iYbt8HyguhnjZBWk//kF2t/ZBHrlDSBFU0d0Pu2hE6hoVmvh\n52VfjRRzblyvYW9ugSEsp71KHIeO3J5r9RmDZ36uHctnpeO1A60AgL982YR5OTZMSbP0c2T8MBoJ\nJhebUH1U/j+uOhoZsOglhKCoqAgHDhwAAFRXVyuiVzRmQOLs4CQ/OCkIPtoMizELZt6JsOiFIIUR\nMIro9GzufI8lE0NaWtq3bx+qq6uV8RtvvIEHHngA//3f/61zAxurcBwHQRj9XPyxDKUUoVAI/BB6\ntzEYA4HW1YC+85Yy5q7+HojR1McRjOHS5I/C3SG38DHxBFPT43Nj1rcr6vk7IxKJIBqVr20wGGCx\n6K+tE718CsIIAdC3K+rLxArQR3ojlILCALD0ZsYE48CBA9i6dasieNPT03HVVVd167k84ZCicDW8\noBhXSbwDnuk/APerdSCXfwvQtMiL7P0M0q/vhvSnJ0CbR8aMTaIiPq39EyQq10JmWEsxLeMbcb0G\nEQSkNKjuwr7cbEiGxBh1jVdumJ+Fqenye0eQKJ74oA5hYXTvNcXT1PduQ20UAf/Ar99rXS8hiFq1\n0d7jIIToor3tRDVGS0YH5yF9EtatW4fbbrsNAPDxxx/jxRdfxK233oq9e/fid7/73ZjvB2uxWBAK\nhRAOh/vNgzebzeN+lbTzRmkymWA0Dmy1iMEYDJRSSC8/q/ZNnTEPOHVhYic1AdBGeWdmWvvsLTgY\n9O2KBlbP2/W7lhO6pDfH0p21kd7+0pu1kd4wlWABa1nEmFjs378fO3bsUMYZGRlYsWIF66RBKVKa\nXoMxXCsPwcGTez0kYyqIESDLV4Gefxnom38H3bVNuTfRT98D/eIDkAuvALnsahB7/GqhDzW/jbaY\nQRBHDDir4BZw8UxrBpDibgQXMxgSTCb4MzPien4GYOQJfvy1fPz47WqERYoTngj+9lUTbjlj9Ez8\nUpw8MnMMaHYLAAWOHwtjVtnA+uYWFhaCEAJKqdK6qPP7ImophNkvR4GNoRqEnGci1VIIt1/u79tM\n6zEVsmhORgfnIYlet9ut1Pxs374dCxYswJIlSzBv3jzcddddcZ3gSEAIgdU6sDfHRGzGzWDEnb2f\nAfu/lH8mHLhrWIui0aBC2583J34PwT6N6E1xDr6eF9BHeiOcGSKVo8JWceCRXq17c1ASYSUctJFe\nwkQvYxxTXl6Od955RxlnZmZixYoVA36+Gc9YPR/C6vtSGXdkLtW50wIASU0HufFO0CXLYHxrPcKf\n7JQ3CALo1tdAd20DueIakPMvAzEMLyDgCdViX9OrynhO1go4zQXDOmdX+FAY9qYWZezNzwW4+Ipq\nhswkpxk3n56Dpz5tAAC8eagNZxQ4cEre6GVXFJeaZNELoKYygulzLOAHsLBtsViQm5uL+nq57rum\npgYzZ84EIJtZdWIMdppZqZHeOrEKiIlePhyWS4iS6FluSJ+G7OxspW1BeXk5Fi1aBEAWk731+WMw\nGBMTGo1CevnPypicezHI5Cl9HMGIF1rn5jnZ8XsQHq5zMyjVid6gZpNNGFp6c0CSQMCDaoWuxGp6\nGeOTPXv26ARvVlYWVq5cyQQvAGPgGBzNbyvjYMoZCLp6b6tJ8iYh9f614O75DTBluroh0AG6fBAR\n/QAAIABJREFU4VlIP7sT9PMPh+x5IlERn9atg0RlgZJmmYKZmZcP6Vx94ayrR6f8CNvtCLmccb8G\nQ+XiUhfOyFdF7u8/rkdHePTa+OTkG2G1yf/jkTBF3YnogI/tLcU5ai4AjUlDQ7QRRAzoRG9j5BjE\n2H2ZoxR8dODXHAsMSfSeffbZuPfee3HXXXchOzsbZ599NgA51bmnJvYMBmPiQv/9JtAYc5K02UGW\n35DYCU0QWoMCar2y0YSRI5iRGZ+HYUqpLr05xdV/j96uopdIYZDYAyAlRoQlNU1KK3rpIIysAoIE\nEA6UaB9MWaSXMf748ssv8d577ynjnJwcrFixolvd/ESEi7bC1fASSOyzHzVPhi/rygFFo8j0OeAe\n+H/gVt8LZGnMpZoaID29FtLj94NWHR70nA63bEFrUO5wwhEeZxXcCo7E1z/F5OuA1SsvNFIA3oK8\npIrAJSOEEPxgQR5SzPL/ZUtAwDOfjUw9eE9wHEFRqXq/rD4y8HTj4uJi5eeamhp1QYczQTCr7a2M\noRNwmvPAETnTIRBtQdSsJgknW13vkNKbV61ahUWLFqGxsVHX0iA7O1vXyJ7BYExsqKcNdNMGZUyu\nuA4kxZXAGU0c9rnVKO+MTAtM/QjIgRIKUnT6ABpNBCZzzw9WfTs3a+t5UxDWRH2tkibSG+3bHdJu\nVB8cfaIIAk7n2EyYezNjnPH555/jgw8+UMa5ublYtmwZzGbWkgZSBK76v4GT5O8+kU+BJ28VwA08\nNZkQApxxDrj5Z4O++7Z8/wrEvp+OHoD06E9Azj4PZMW3QTKy+j2fN1yH8sZ/KuPZWcuRapk8uN+r\nPyiFq1ZtURRMS0XUxiL+o0Ga1YA7z8rF2vfl2vGd1V5sP9yEU9JHZ8GhcIoJh/eFIElAe6sIT5sA\nV1r/0i4rKwtWqxXBYBDBYBCNjY3IyZFrkqOWIqUW3hg6joh9BlzmArSFqgEAfkNEcd7gQ2GgaybX\nGGbIT0ElJSVYsGCBzixhwYIFmDKFpS0yGAwZ+tpfgVAseTVvMsj5lyV2QhMIreidO0L1vI4Urtfa\n7EG1K9KMLUSt/5W8bX3OxWbilHQ+vyiBEH16MxO9jPHEp59+qhO8+fn5WL58ORO8AEApnI3/gDEi\n11hS8PDk3gDJMLQUX2I0grtoGbhHnwFZsgzgVSFBP3kP0k+/D+n1F0BDwV7PIVEp5tYsp4CmWoow\nK3PpkObTF7bWNhhDsvu9xBF48+LbAonRNwsLU3Bhifo++69/H0NrcHQ6xJgtHPImqYs6x48NrI1Q\nZ+uiTrQdeXR1vaHudb16B+fkals0oEjvn/70JyxcuBBz584FALz00kt97n/99dcPf2YMBiOpoVVH\nQD9QXUW5a24BYa0TRg1tPW88Ra+2nre31GZAn97c1chK367IgbDGydnCqzVSUlvfJoIcIbCZOPgj\nEqJUAiEcqK5lERO9jOSHUoqPP/4Yu3fvVl4rKCjAlVdeyTouxLC1vQdLR7ky9mUtg2At6uOIgUHs\nKSDX3Ax6waWQ/vkX4IuP5A3RCOhbL4Pu2g6y8kaQBReAdDGNOtyyGS3Bo/J5wOPsgtvAkfjeA4ko\nIqW+QRl3ZGdBMrH3xGhzy+k52OcOoNEvwBcW8NQnDVhzXsGoGHYWTjWjtkZeWKk9HsHs+VYYjP1f\nt7i4GAcPHgQgpzh3lqpGNQLXEDoBUFEneptoPaZCzthLtvTmAUV6jx07BrdbzVOvrKzs9V9VVdWI\nTZbBYCQHVJIgrV+nvjD/LJA5pyZuQhOMthGq5wW6tCvqxcRKkqQ+a3q17YpEPkUX6TXxqkCXGuvR\nH50pzgIAAr3oJUzzMpIcSik++OADneCdPHkyE7waTP4DsLduVcYB1wKEXGfG9RokOx/89x8Ad8+j\nQFGpusHTCvr8/0B69CegRyuUl7umNc/JWqYTDvHC4W4EL8RaFBmN8Gf3n3LNiD92E48fLFBrYXfX\nduDdKu+oXDsji1daBwoCUFszsOjr5Mlqmn1DQ4PSnlUyuCDycuSaoxEYIm6kaqK/dUKl8nOytS0a\n0JLT2rVrdeOHHnpoRCbDYDDGB/Tjd4HKQ/LAYAD3rZsSOp+JxkjV8wIDa1cUCAQgxfpeWiwWGLpE\n+LWRXso7EI6o4lYrekX3yX7n4zBxaPQDIigI4SGx9GbGOIFSivfffx9fffWV8lpxcTEuu+yybp+p\niQofaYSzYQNIbLErYpmCjhFIIe6ETJ8L7sH/Av34HdBX/wZ4WuUNx49Ceux+kLMWg668EZ941unT\nmrOuiPtc+HAYDk2LIl9+LihrUZQw5ufacem0VGw+Iqf//ulzN8pybciwjeziFCEEhVNNqPhKTnE/\nfiyCoqn9lzxYrVZkZWWhqakJlFLU1tbKZsSEIGotAh/LnDCGjiPVofo31UaPgAIgAAzRKIgkJc37\nLjlmyWAwkgYaCoC++hdlTC5aBpKdn8AZTTxGKrUZ6NquqP8evd3aFUEvekVDCsIaYysjpzGyOlnV\nb5uQzrZFIijQJdLLYCQrlFK88847OsFbUlKCyy+/nAneGEQMwlX/V3BUjjaJhlR48q4H4uyM3O26\nHAdu0dfB/fqPIJd/CzCalG3005049OqP0Bo8BkB2ax6JtGYAcNY1KAt7EZsNwVRmEplovnNqNvKd\n8j3MH5Hwv580DLnV1WCYXGxSWjJ72kS0tw6splgb7T1x4oTyszbF2RiqgYm3w2pIAwAICCNqVOUj\nn0QpzoMSvZ988gneeOMNNDY29ri9sbERjzzySFwmxmAwkhO66WXAEzMgSk0HuexbiZ3QBGSkTKzC\nIQmRsHwD53koPQK70q/oFbTuzXojKwPUB1bqbQda+67r7WxbJEd6Od0DBktvZiQjkiRh+/bt2Ldv\nn/JaaWkpLr30UvD99K6eMFAJTvd6GKJypJMSIzx5N4Lyjn4OjB/EYgW3fBW4h58COeMcAIA3jcP+\ns1SBOztyGlzmOLs1I9aiyKOmz3pYi6IxgdXI4cGL1F7Pn9f5saPSM+LXNZk55E0evKHVgERvUDaz\ncprV4EXAqPbnTaYU5wGL3vvvvx9PP/00XnvtNfzwhz/Ep59+qmwLBAJYt24dfvjDH+rcnBkMxsSC\nNtSCbn9DGZOrvgtiYa0TRpO2oICTI1bPq4/y9mbS0Vc9L9CTkVVsTAFeUs8pRcJA3fE+59QZ6RVA\nQcCDSkz0MpIXURSxdetWHDhwQHltxowZuOSSS5jg1eBo2QJzQO2Z6825GoI5MRlFJCNb7u37k19j\n9xVpkAzyd1iqW8T0P26H9MRDoCer43fBLi2KAmmpiNrZs/dY4dRJLiydkaaMn/u8ES2BaB9HxAdt\nSnNtTQTRaP83wIKCAuV7pbW1Vbl3C+Z80Fh2Ai+0ggg+OM2TlOM8nLpwnUxmVgMSvW+88Qays7Px\n/PPP4/nnn8fZZ5+NJ554AsFgENu3b8edd96JpqYmrF27FnffffdIz5nBYIxRpJefBcRYWs3UmSBn\nn5fYCU1ARquetzcTK2Bw6c2SIQWRWHqzCSalBZEUCQFUAq3tW/Q6lPRmgBAOktbIqs8jGYyxhSAI\n2Lx5Mw4fVsXcnDlzcNFFF4FLkpq50cDi/QK29veVsT/tfIQd8xI4I5lD6dVoS5fvf0SkOHNrAJwE\n4FA5pIf/A9Lf14H6O/o+yQCwtbSyFkVjnBtPyUKuQ468+qMSntntHvE05/RMXrkvi4Ls5NwfBoMB\neXmqAZcS7SUGRM0FyuvG8Em4NOMWqmb8JlPbogF9i27fvh2rVq1SxrfffjsA4Lvf/S527NiBH//4\nx1izZg3r0ctgTGDo3t1A+WfygBBw160eFbt+hp6Rreft38QK0Iveru2KQGm39OZwTARblJb3gBSW\nH+pQW9PnnOwmzW2MEJbezEhKBEHAW2+9hcpK1Rm1rKwMF154IRO8GgyhGqQ0vqqMw/bZ8KdflMAZ\nybSHarC/SZ3X3IzlSD3lciiFlpIE+u9NkB66HdL7W0ElqZcz9Q0RRKTUq91UOrKzWYuiMYjFwOHO\ns9XFiE9OduDDGl8fRwwfQogu2nuiangpzoJW9IZOwmVRx25RNZk0RMaZ6HW73cjOzlbGnSnMd999\nN37zm99g3rzEr7AxGIzEQaMRSOv/pIzJOReBFE1N4IwmLiNVzwsAPl16c++3j77Sm4kUAoEsniVi\ngggOgiQLXCs07YrCQQAA7S+92agR34SHJrsZhMV6GUlAJBLBG2+8gePH1ff6qaeeivPOO48tHGrg\nBA9c9S8o3x+CKQfenG8BJLGLAqIk4JPadZCoPK9061TMzF8B7tpbwf3s98Cs+erOHV7Qvz4J6Tf3\ngFYdGfS1Uhrc4MXO39+IjuzMuPwOjPhTlmvHN0pTlfEzn7nhDYt9HDF8JhUZlXWW9lYR3vb+r1dY\nqNbvnjhxQlk4jlrUdGZD+CScGhFcL6qLc/x4i/T2hM1mQ1lZWf87MhiMcQ/d+jrQ1CAPbHaQFTcm\ndkITlJGs5wWGFunt1qNXl9qsN7FyELUOSgrFxHvdCVCp9xu3QxPplTgCiUV6GUlEOBzGxo0bcfKk\nGjk566yzcM455zDBq0WKwlX/N/CxUgiJs6I979ugXP+tWUaaA80b0R6SFyx4YsTZBavBxRykSUEh\nuLt/Be72+4F0TQ/d6iOQfvMTSH99EtQ3sH6uhlAI9ma1RZE3P0+NJDPGJN85NQsZVrk21hMS8exn\n7n6OGB4mM4fcAjXyP5Bob1ZWFszmmOO034/WVrkNl6Cp4TWGamHibIqDs5e2KYVEvCCAiEPLXBht\nhvxpIYSwL2QGgwHa2gT69ivKmCxfBZLCWickgpGs541GKUJB+TZHOMDm6PncgiAgGJSjtBzHdTM3\n5ERtarO+XZGDU1fFpc7acCEKNDb0Oq9OIysAkNDFvZlFehljmGAwiFdffRX19aop0aJFi7BgwQL2\nfKWFUjgb/wFjuFYegoMn9wZIxvQETwxoDVahokk1b5yXfTWc5jzdPoQQkNMXgfvVUyBLrwUMMVFC\nKej7WyH99PuQ3tvSd8ozpXDW1ivfaGGHHSGXM86/DSPe2E08vn+Wmub8brUXn9cOv667LyZPUVto\nnTwegST2vfrLcRwmTVIFbmeKs2jMgMTJJUec5AcntMMVE8KUUIQN6vuVT5IU5wE3Drvpppt0Y7/f\njzvvvLPHfZ977rnhzYrBYCQN9JXngUjMvW9SMcjiSxI7oQlMuUb0zhnBel6HgwPH9fxQ7vV6Nfs5\nutUjcoLeuVkb6bUT9SFO0vYirTsO5KqpVVocGtErEgLtcyOhTDgwxiZ+vx+vvfaaElUBgMWLF+OU\nU05J4KzGJra2d2Hp2KuMO7KWImpLfPmMKEXwSe0zoJC/dLJsMzA94xu97k/MZpBl14MuvADShj8D\ne3fLG/w+0BeeAt21DdwNt4MUT+t2rNnrg8Unf1dSsBZFycSZkxxYXOzEzmr53vj07gb8IacEFsPI\nROmzcgyw2AhCAYpImMJdH0XeJFOfxxQWFuLYMbm3dE1Njfw9RDgI5gKYYj2njeGTcFoK0OAvBwB0\n8CFYBPk5wxAOQ7Baej75GGJAoveGG24Y6XkwGIwkhB7cC/rZLmXMXXcbCGurkTDK3X7l57Ice1zP\nrRO9faQ2a0Wv09k9EtGtXZFmbCOq6ZWkaXVFa2tATlvU4/W06c0CpZAkFulljG28Xi9ee+01eDxq\n/84LL7wQc+fOTeCsxiamjv1wtG5VxgHn2Qi6FiZwRirljf+ANxZ9NnBmnFVwK8gA6otJdh74H/4U\ndM9uSOvXAc2xlNfqI5Ae/QnI4m+ArPg2iD32fShJ+hZFGekQrKwVYDJxy+nZ+LLeD19YRKNfwN/3\nNuN7p2X3f+AQIBzB5GITjlTIwYiayki/oldrZlVbWwtRFMHzPKLmSYroNYT0Ds7taENmzIdjXEV6\nr7zyypGeB4PBSDKoIED6+zplTM46D2Q6e2hLFE3+KOp8ci9AE08wIzO+q65aE6sUV+8Pdv2LXk16\ns8GBiMbJ2aY1snKotcC0trrX62nTm6OUgjIjK8YYpr29Ha+++qpi9kYIwcUXX4wZM2YkeGZjDz5c\nD6f7ZWUcsZagI+uKBM5IpdF/AIdatijj+TnXw2HKGdQ5yPwzwc0qA93yT9DN/5RLOSgFfW8L6Bcf\ngXzzeyALL0BKY7PikCvxPLx5g7sOI/G4LAbcdFo2/ucjefHijYOtWFzsxNT0kYmOTp6iit7GBgGh\noASLtff7tsvlgtPphNfrRTQahdvtRn5+PgSNmZUxfBLOtAuUcQt1oxSyCE4WB2dWAc9gMIYEfect\noC7WTsZsAfnmdxM6n4mONrV5VpYVxjjW8wJxjPQKXWt61UivhWqiu6mqqVVfbYu0LYuiVILARC9j\njNLc3Ix//OMfiuDlOA6XXXYZE7w9QAQfUuv/Co7KD9OiIR2e3OsBkvhMoqgYxKe164CYlU+uowxT\nNWJgMBCTGdyV14P75R+AuaerG3we0Of/G+QPv4ajQTU/8ublgBoGXJnIGENcMMWJsljZkUSB//2k\nHqI0Mm6LdgePjOzY+4QCJ6r7FqWEkB5bF0U1ZlaGUC1cJrVevVFS2xsli4MzE70MBmPQ0PZW0Dde\nUsZk6TUg/5+9Mw+Toyr3//dU9b7O2rNmmQlbIAlhkyQoLgyXG2IIO1zCFtCAclGJXpefiMpyCd4r\ni3qVBDSiJKIkhgQE0WFTlrCFrECCmWwz09M9W+/TW53z+6N6qqpn7ZnpbSbn8zw+zqnu6jppuvvU\ne973/X5Lyws4I04uS5sBIOjXZHonVN6sPk51jrSg18hUJVZarlE69baDJYZeVA2iAIMoB7dyplcN\ndAXGlzhOcdDR0YFNmzYhEpE3p3Q6HZYuXYpZswrfm1p00AScHeshJn3ykBhlpWYx+79r42GHZwPC\niS4AgF6w4KzamycsPEZctRC+dheEr3wPKFVtiJzVDcqNesJoQKS88OJdnPFBCMFXz65W1qsDPTE8\nt683Z9ebrhG0OtoSTxN5HAqtmFVbm1y2T3VOSKJcZi+wGEw0DLNO/gz2QlUS1/Ggl8PhTFXYxnVA\nVFboRXU9SBNvgSgkjDHs6lAzvXOrsytiJSUZIuFU0EsAq334pUNrVzRU0CumZXodiGvKnQ1MzWBQ\nsxmoTKleUgp0tA17zf4SZyn11H54ppdTDLS2tmLz5s2IxeRyQ4PBgIsvvhgzZswo8MyKEMZg79wM\nQ8oCiIEgUH01JGNxlPS2B3egpfdVZXxGzQ2wZElFmhACcvpCCHf/H8gFl8BY3wjrCarHb+/z68H2\nvJ+Va3EKQ43dgCvnqAmC9Ts70RlO5ORa1fV6RSg8HKLo6RrZs7euTuPD63YjmUwChAywLjoKp0l+\nnh+qJoEYjwOjBNXFAA96ORzOmGD794C9/ZoyFq65BUSnH+EMTq5xBxPoisgWPxa9gOOy3CcUCqqL\npcUqQBSHDya14jxDlzenZ3rjGjVnA1UzyEwUgdrp6rjt8LDX7BezksBAJXVZE/gSxykwBw8exJYt\nW5BIyDe2JpMJl156KWpraws8s+LE4vsHzMEPlHGo4kLErScVcEYqsWQQ77Y/rozrHWdheg5EtYjJ\nDOGyG1F66ZeVY+H9OxH7eAfoz+4GffQBMF/3CK/AKWYunl2OGU65qikmMTyWI+9enY6gdprGvmiU\nEmebzYaSEtk2UJIkdHTIVoEJTV+vLtYKRyoITpIEYoJ830EAiPHcBO/ZhN8RcDicjGGSBLphjTIm\nZ5wDMvvUEc7g5INdmtLmU1wWiMPYCY2XtNLmEUSs4vE4otEoALlf0WodUI7IkhConJFmEEBFa1p5\ns46qr011OpC6meq5IwS9Vn1/ppdBa0ko8Ewvp4Ds378ff/nLXyBJ8qaRxWLBZZddBpcrN6qtkx1D\naC+s3S8q4z7HmehznlPAGakwxvCeex2iSXlTz6Rz4syaFTnzU7Z0dUMvyb+7lFH4d6guCez9N0Dv\nug30lefB6MjZO07xoRcJvvIptXLh7dYQ3mkNjnDG+Jk2Uw1624/GIY3i2TtUiXN6pjddwTkoqPce\nk0HBedxB76FDh7B27Vrcd999yrENGzbA6/VmZWIcDqf4YK/8RQ0+jCaQK28u7IQ4AJBW2jwvy6XN\nABD0qzdWDufw/bza0ma73T7ohjBNxEpnB4iAWKq8mTACUVOaTEURqFWFNVhH67DX7c/0JsFANdli\nwvd1OQViz549+Otf/wqaqrd3OBy4/PLLUV7OtQ+GQhdrh9PzR5CUOFTc1IBg5bKi8aI97H8DrYF3\nlfFZtV+CUWcf4YzxIySScLjV7F+otgbsew+ALPyC+qS+CNiGR0FXfwes9WBO5sHJHbNdFjTNcirj\nx97zIJqkI5wxPkorRFisqfUxAXjaR87GakucW1vlNTc90+uG01CtjCdbX++47giam5tx9913o7Gx\nEbt2qYbhLpcL69evz9rkOBxO8cB8PWBb1O83WXIVSFnFCGdw8gFlDHs0ys396pDZJKAJeu0jBL2j\niViJSbX0mYryDWMsVe5shFHJy1JBAAgBqVYXW4wQ9Kb39GqErCBMij4jztRi+/btePnll5VxWVkZ\nLr/8cqV0kJOOkAzA2f4ECJNvyCVdGfw1ywFSHCrF4XgXtrt/p4wbSz+PWvv8nF3P7u6AkNosSRoM\nCFVWgNidEG76BoRv3gu4NKXxB/eD3rsK9M9PgMVjOZsTJ/vccJoLdqO8dnnDSfxpd1fWr0EIQf1M\ntf1stBJnbdDb0dGBZDIJJloh6WQ3BQIJZUR9vW7WofwtToLP37iC3q1bt2LVqlVoamqCxaLeYC1a\ntAi7d+/O2uQ4HE7xwJ7+jUa8qg7kfC5eVQwc8cXgj8lBqcMoYnqJcZQzxo420zsx5WZtptcBicaR\noPJnygyb5rHUzW6V5uauswMsmRzyutqeXsZESNCU/PGgl5MnGGN488038frraimqy+XCZZddBpvN\nNsKZxzA0Dqf7dxBTqu5UMMFXe0PRKDUzRvFO+1rld8pmcGF+1TU5u54+HIG1R1X09dfXAoJ6q05O\nmgfhRz8DWXo1IKZ+JyUJ7IVNoD+6HeyjnTmbGye7OIwibjxNdSl45qMeHPFnP3Cs15Q4e91JxKLD\nZ5Qz6es1Jzph0csVKz70KMenbKY3GAyiqkquR9eWr3k8nsE9XBwOZ9LDPtoJ9s4/lLFwza1cvKpI\n2KXJ8s6tskDIcjlgIsHQF5EDR0IA2wjKzaN79KqPSzoHopqxQ1QVUKlODqyJyazad0gS0KXuKmtR\nMr2MgVIdGDSLOg96OXmAMYZXX30V7733nnKsrq4Ol1xyCcxm8whnHsMwCofnaehjcu8ggwB/9TWQ\nDMXT87yv+6/whj8CIKvBn113C/RidoUCFRiDs1VVqe9zOBBzDC6hJnqD7O37w0eA409WH+jsAH3w\nB6DrHgEL56ZHlJNdvtDoxOxK+fdBYsCadzpGtRYaK1abiNJyeY1kDGg/MnKJ81j6en3wKcenbE/v\nwoULsXbtWsVvDgAikQjWrFmDhQuzr2TH4XAKB0skQDc8qozJp87l4lVFRK77eUOaLK/NIUAYQbl5\nLEEvFR2IaTx77UKp5jFNNrlaLbcazrbIlgp6k0qmlwe9nPwhSRJefPHFtEq3mTNnYtmyZTAas195\nMVWw9vwdpvAeZRyqXIqE5fgCzigdX/QIdnufVsYnVSxFheWEnF3P0t0DQ58sBMgIQaCuZsTnk5pp\nEL713yDX3QaY1YQTe/Ml0B98FfTdf2Y9gOJkF4EQ3HpWFfqX1T3ePvzzcPY3LLTZ3qNjKHEeqq9X\nr1Fw9hM16NXFit+2aFxB78qVK2E2m7FixQqEw2F873vfw4oVKzBr1ixcc03uyj44HE7+YX9/Rg02\nTGaQK24q7IQ4ChJl2OvV9vNmv9Im035eIIOeXklrV2RPy/TaSInmMY0YlSboHU7Myqotb+aZXk4e\nSSQSeO6557B//37l2IknnoglS5ZApyuOntRixBR4D1aN323EuQh9zgWFm9AAJBrHttZfgTK5paLU\n1IA5rktydj0hmS5eFayqhGQ0jHCGDBEECOdeAOGeX4KcoVG6DvrB1v4P6C/uBevJfq8oJ3vMLDXh\niyeqm77rtnvRl8iuqFXtdL1SJe/vlRAMDK/6rc309vf1JjWKzWLcC4dBrvaNIIJkqp1IoBSCVNxq\n4uP+RV61ahW8Xi9aWloAAI2NjVyGn8OZYrAuD9hf/qiMycXXgpSUjXAGJ5/8qyeKSGpxLLfoUGPP\nfsl5MItBb5p6s+hANK6WK1uJQ/OYZmlKE7MaOtNrVTK9AKM6UG3QS3nQy8kN0WgUzz77LNxut3Js\n7ty5+NznPpczK5upgD7SArv3GWUcs5yIUMWSAs5oMLu8G+GPyZtsIjFgQf2tEHIorGVv71AChqRB\nj5CrcpQz0iHOUpBbvwO2423Q9Y8C/T6+u94F3b8H5LIbQc69AETgivbFyNXzKvDaoQB8UQk9fUn8\naU8XbjgtezGVwSCgqlYPd6tc2tx6KI7Z84Zuu7BarSgtLUVvb6/S11tfX4+kvhy6RDcIKEqFVAUL\nAQJCEGVU3rQWY3FVk6MIGden/6qrrsLDDz+MQ4cOYcGCBViwYAEPeDmcKQZjDPSpx4D+Po1pDSCf\nu7Cwk+KksbND9cg7tdqSkxttrUfvSHZFsVgMsZgswiGKYprIYT8De3pjmrEZmvI8cWyZXq2QlcQG\nBL0808vJAeFwGJs2bUoLeD/1qU/xgHcUxHgnnB1PgqSyQwlDNQLV/wGQ4gnGPKG92N/9gjKeX/0f\ncBhrRzhjYujD4XTxqrp08aqxQOafDeHu/wP53GL1YLQPbP2vQH/6fTBP+0Sny8kBFr2IGzVB7taP\ne9CaZVErbYlz6+H4iKXv2hJnta9X/Q6UUlVUspeplQS6Iu/rHde36v7770dlZSV+9asOHobxAAAg\nAElEQVRf4aqrrsJDDz2EPXv2jH4ih8OZPHywDdj5jjIUln8FRBw508fJLzvd2qA3NyKC6eXNwy8Z\nWo9eh8Mx5I1/Wk+vzoGopFoYmWHWPKbt6dVkej3DZHr1/ZZFbHCml2Xf+5BzbOPz+fD000+ju1v1\nqDz33HOxYMECHvCOAJHCcLp/CyGlhCyJdvhrbgATiqfvOZYM4u22Ncq4xnYqZpWel7sLMoaSVjUQ\n7XM4EHMOrpIZC8RsgbD8KxD+636gSqOJsH8v6I+/BvriZrAiL0M9FvlcgwMnp0StklT27s1mT7ar\nWge9Qf59ikYYeroyK3Hu7+tNGtSg15bshUGUFel7iargLBa5gvO4gt7GxkYsX74c69atUwLgNWvW\n4KabbsLjjz+e7TlyOJw8w6IROcubgpx7Aciskwo4I85AInEJH3f1KeP5OQh6Y1GKeExedEURisn9\nUPj9agA7VGkzoTEITN65ZkQHJpjTMr0mpt74ppVHlZQDhtRjoSBYUD2nH5tBG/TqeaaXkzM6Ozux\nceNGpZSfEILzzz8f8+fnzrd1SkATcLp/D11CvkFmRA9/zXWg+uLxLmaM4T33OvQl5ayrUbTjrNov\n5XQjw9rVDX1KvIoSgkD9yOJVY4GccAqEHz4CsvhyNXOciINtXAe6+ttgbYezdi3OxCGEYOVZVRBS\nH7cdHRFsOxrK2usLIkHtNLUFqu3w8AHqUH69SaP62dTH2mE3yGO/RsF5SmZ6tTQ2NuLaa6/FypUr\nMWfOHPz973/Pxrw4HE4BYVv/APSmSlbsTpBLbyjshDiD2NHmRzIV280sMaLEnP0+moH9vCPd/A3M\n9A4kXbnZDhCCaFINlA1Mr3lcU94sCOkKzp7BJc42Y395M0CZmBb0MsozGpzs0Nraik2bNinOFaIo\nYsmSJZg9e3aBZ1bkMAqHdyMMUTnIYiDwV12FpGlagSeWzkHfP9AaeFcZn1X3JZhzGJQLiQTsGvGq\nULULkmF08aqxQPQGCJdeD+H7PwWmNagPHPoE9J47QJ97alj/c07+aSg1YfHx6mfuN9u9iCWzV61U\nO139fLlbE6DDaF709/UCsjq9x+NBQlPerIt3wGGsBpCu4DwlM739vP3227jvvvuUEufq6mqsXr06\nW3PjcDgFgB1pAXvpWWVMrrwJxGor4Iw4Q/HOEXWhmV+Tq9JmdbEdi4iV3T7YW1IrYiXp5KBYq96s\np+rrp5U3AyCaEj3mHhz0mnQCBAIkGQNj6ZleSvkNHWfiHDhwAFu2bEE8lckwGAy45JJL0NjYWOCZ\nFT/WnmaYQruUcah8MeK2Uwo4o8H4Im34oOP3ynhW6Xmos5+e02s62jsgUPm3Kmk0IFRZkbNrkemz\nIPy/n4JcfC3QX0kjJcG2bAC9/1tgRw/m7NqcsXHNvErYjfIa6A0nsOXjnlHOyJzyShEms7x5HY8x\ndHqGXx9ra9Ugt729HUxnhyTKazthCThFeR33aW2L4tntQ84240oN3Hvvvdi9ezcsFgsWLlyI1atX\no6GhYfQTORxOUcOoBPrkL4HUQoyT5oGc/bmCzokzNO9qgt5Tc+DPCwzM9I68RzqqcrOmf5emgl6t\nT6+OqlnkNPVmYNS+XoEQWPUCpDiDxMQ0yyKe6eVMlD179uCVV15R+uusViuWLVuGiorcBSlTBdma\n6BVlHHGcjb6STxdwRoOhLIm/f/wTJKl8w2431GJ+9X/k9JqGYAiWXvU33FdfN27xqkwhOh3IkivB\nTlsA+tufAQdTNltHWkDvWwVy4RXy/3TZdwHgZI7NKGL5vAo8+q5cBbBxTzfOa3Si3DLx/y6EENRO\nN6Bln/xZbz8cR1XN0K9bW1uLvXv3ys9rl/vOk8YaiBF5A7uEyIF5EAFQUAgQICaS8v1jkaqEj2tW\nLpcLd955J9atW4eVK1fygJfDmSKw115UF0KdDsLyW7kwSxHSHUngUI9cYqkTCE5x5SPonaBHb5pd\nkR2M0bSeXlHSZGcHZHqRpuA8vG1REgyMiaBE81pSYsR5czjDwRjDO++8g5dfflkJeJ1OJy6//HIe\n8GaAIbIfdu9mZRyznIBQ5VKgyNaUPd4/wxuU1z2BiFhY/xXocimuRSlKWtXfsUiJE3F7/qqpSO10\nCN99AOTyFUB/gCtJYM8+BXofz/oWA/92XAlmlsifwZjE8LsPOrP22nXT1SDX3ZaAlBy6xLmmRu3h\ndbvdoJSmKTiXMfn+gBKKEFF7j4u5r3dcQe/KlSsxd+7cbM+Fw+EUEObrBtv8O2VM/v1yEG2GjVM0\n7OyIKH+fXGmGUZf9XVXGWFrQO5JdEWMsA49erXKzE3EpDAZ5sTUSG4RUbxEDwAbsEpMMvXolMFDo\neaaXM2EopXjttdewbds25ZjL5cIVV1wBp9NZwJlNDsSYGw73BpDUdzFhqEGg+hqAFJcDgCe0Fx91\nPaeM57quQKl5Zk6vafN2QpfqfaSCgEBd9sSrMoUIIoQLLoHww0cArUhl60HQ+1aBbv0D7/UtIKJA\ncPMZqoXRq4cC+Lizb4QzMsdZKsJqT+lgJAGPe+iNYafTCatVbp2Kx+Po7u5OD3qTQZBUGOnD5FBw\nzqi8+bHHHsPChQsxZ84cAMCGDRtGfP4111wz8ZlxOJy8Qv/wGNCXCqaq6kAuvLywE+IMyw6tVVGO\n+nn7Igz99zx6A4HRNHx2JhaLKb2OOp0OZvNg03tB0nr02tNErJxipfI31YmDM0FVGo/MTjdYMjGo\nBM9mECABYEwEg7roMpoEius+m1PkJJNJ/O1vf8O//vUv5di0adOwZMkSGLIsNDQVEZJ+lLifUNTa\nJZ0T/trisiYCtPZE8oZblfUUnFi+eOSTJogYi8HuUbN2gZpqUH3hyolJdT2Eb98P1vws2DNPAol4\nKuv7B7Cd70C46RsgdTMKNr9jmXnVViycZsdbR+Uqqcff9+AnF8yAMMFKCUII6qbrsX+v/P1sO5xA\n7bTBv2uEENTU1Ci/g+3t7ag+Wd2ANsY7YDVUIhT3wA91PRcne6b3wIED8HhUhbmWlpZh/3fwIC+L\n4HAmG2zH28D2N5WxcN1XQfT85q4YYYxhZ4ca9ObCqggY3M87Upn7wCzv0B692vJmB6KaINghlmse\nG7wXS4wmoCxVTkop0OkZ9Bwl08vSfXoZ45leTubEYjFs2bIlLeA9/vjjsXTpUh7wZgChUTjbn4CY\n2tSixAhfzQ2guuLKjjPG8G7744o9kUnvwNl1t4KQHPYiMgZnaztIqlQ+bjYjUlGWu+tlCBFECP92\nMYS7Hk7P+h45AHrvHaAvbOIVMwVixemV0Kc8jD7pjuLVg4Mt+8ZDnUbF2etOIBEfusRZK2bldrsh\n6UpBU5tXAo3AoZfX5QDR6HPEi7elKKNM70BF5jvvvDMnk+FwOPmHRSOgG9YoY3LOeSAn8vaFYuWw\nLwZfVL4BsRtFNJblJnuSaWkzMHo/LwCIaeXNDsT61KDCJqgWDWxgP28/1fVAT8pGq6MVqEkvvbcZ\nhFRPr04pmwYAJknjlGzkHGuEQiFs3boVXV1dyrH58+fjM5/5DNc2yAQmweleD33cLQ8hwF+zHJIx\n/+W7o3Gg92W0Bbcr4/NOXAUzy61nsMnnhyko9z4yAP5pdUXV36xkff++Vc76JhNAMgn25yfAdmxD\nctWPAWNu9CM4Q1NlM2DZ7DJs3NsNAHhyRyfOmW6fcEuTzSHCUSIi4JNAKdDRFse0hsH3Etqgt62t\nDQwESUMtDFE5wekUrWgHECSaTG+ieIPecb1r/R51A/F6vfB6vROaEIfDyS/smfXpnryXryjshDgj\nskOT5Z1XZZlwqdNwBLIoYgXG0sqbqc6RZldkI2oWSOvRqyXNtmiIvl6rXgQDkGS69J5exvvSOKPT\n09ODp59+Oi3gPeecc3jAmymMwe7dDINmMyvougQJy/EFnNTQ+KJHsaNjvTI+rux8zCw/O6fXJEkJ\nzja3Mg5XlCNhGdwGUmiUXt8fPATM1Py3a9mH7lU3gL70HBjNnm8sZ3QuO6UMJSZ5XezuS+KZj7Jj\nYVQ/Qy2rbzsydKBaUVEBfar8PhwOIxgMIqnZxCpN9egHoBGlnOzlzQNZsWLom+KWlhY89thjE5oQ\nh8PJH+zgfrCX/6KMyZU3g9iGztRxioMdbnXTMVf+vAAQHINHbzColi4PFfQS2geSCj4pMYAJxjTl\nZgtU5VKqGyYtq83sdgz26rUZ5DkOtiziN2ickWlvb8fGjRuVzzEhBOeffz7OOOMMHvBmiLWnGebg\n+8o4VHYeoo4zCzijoUnSGN5q/T9ITL7JdxrrMb/q6pxf1+HugJgSSZD0OgRrqnJ+zYkgKzz/RPb1\n7W85icfAnloL+tBdYN3ZUxPmjIxFL2L5qaruxZ8/7EZP38Q3c2s0fbxdniTiscFrpSAIaSrO7e3t\n6WJWVP4eBbSZ3iIub85q80JjYyMOHDiQzZfkcDg5giUToE/8HGCpH7qT54Oc/dnCToozInGJYq9X\nE/TmqJ+XUoZQQJPpdYy8VPj96oI3unKz/Lg202smaslcRpneIbx6rQZ5jomB5c28F40zAgcOHMDm\nzZsRjUYBAHq9HkuXLsXs2bMLPLPJgynwLqy9LyvjPvuZiJSeV8AZDc8HHesRiMm/HyIxYGH9f0IU\ncturbQiFYe1Ws3P+ulqwYX7nigkiihCWXAnh+z8FtGJWH+8C/fHtoG+qVl6c3HJeoxMzUhZG0STD\n+p0T33SwWAWUlsufQ8aAjrahg1VtifPAoLcipdURQkjR0hCTKa/eImRMnU633367suv5ta99bdDj\nHo8HjY2N2ZkZh8PJKezFzUDbYXlgMEK49qs8q1Hk7PX2IS7JNxnTSsxw2XKj+hkKUGXNMlsIDMaJ\nBb2iNETQqzlmYmbN4yP09PbjbgVjLO3zak1leikRwYjUL8gKxn16OcOwa9cuvPrqq8rYbDbjoosu\nQlVVcWfhiglD+GPYvc8o45jleARdFxdVr2o/R/1vo6X3FWV8Ws11cJrqRjgjC1AKp8aTt89hR9Q5\nuaqpyLQGCN9/EKbmZxDZvF7eKO+LgK17GGzn2/K9g724hMqmGqJAcNPpLvzw5aMAgJcO+PHFE0vR\nUGqa0OvWTNOjt1veGG4/msD0xpH7etvb25E0fBYMIggk2KQQ9IIJCRpFEEE4IX8OxHgCkqm41NqB\nMQa9K1euBGMM991335C2RFVVVWhoaMja5DgcTm5g7law555SxuTia0Eqqws4I04mvN+uGsAvmFma\ns+v4fRoRq5KRMxKU0rSgdygP04HKzQDSLIuMzACkdomHy/SitBwwmoBYFIiEgFAA0Nxo2VKZXgqS\nln1glPf0ctJhjOHNN9/E+++r5bhOpxPLli1DSUluxYymErroUTg7NF68xloEqpcXnRcvAITjnXi3\n/TfKeJrjbDSW5L6yyebtgj4qW8NQQUCgvrYoNwRGg+j1sF/3FUSPnwO67mHAm+pP3v4W6L8+gnD9\n7SCnnlXYSU5x5tdYcUatFe+3h8EA/Ga7F3d/YdqEkhU19QZ8uEOucukvcR64yV1VVQVBEEApRU9P\nD/qicSSNVdDH2kEIgV1Xhp54O4IkACeT12RdPD75g965c+cq/79gwYKcTIjD4eQWRino738BxYR1\n5vEg532xsJPiZMQH7aqI1cKZpQByU7ob6FVf11k68g1sKBQCTaWFzWYzjMbBC522vFlKZXq1Pb0G\nqgNS3rrD9fQSQoCqOuBIqoWmoy0t6FUzvUJaTy94eTNHQzKZxEsvvYR9+/Ypx6qqqrB06VJYLFyZ\nNlPEeBdK2p8ASfXGSrpS+GtuLDovXgCgLIm3Wn+JBJVbQ6z6CpxZe1POK5vEaAx2jyruGqyugjTJ\nba/IcbMh/OBhsI3rwF77q3ww4AP9xT0g514g64IYJ5Z95AzPjae78IH7ICgDdnVEsL09jDPqbKOf\nOAz9Jc693ZJS4jww26vX61FZWalY17rdbrhstdDH2gEAJaIFPQAC8AOYBqB4FZzH1dPLLYs4nMkL\n+8eLwCcfygNRhHD9f4IIxbczz0nHE4qjNSAHhgaRYH5d7krkAmPI9GqzvMNlydKVm+0AgJjmmJ6p\nS9GwmV4ApFqr4JwuZmXWy68hgQwQsuKZXo5MLBbD1q1b0wLehoYGXHrppTzgHQMkGURJ+zoIVN6E\no4IFvtoVyne72NjteRrdKVVpAhEL6m+DQczxf2/GUHK0TePJa0K4snyUkyYHxGSGcO1XIXzth4BT\nrThi/3gR9O6vg7XsG+FszkSY7jTi345T19kndnRCohPrq66ZprZJtR8dOlitq1PXXrnEWS15Lk15\nW2u9eotVwXnc7oVerxe7d+9GOBwe9NhFF100oUlxOJzcwHo6wTb9VhmTCy4FmcZbEiYD2zVZ3rlV\nFhh1IoIjPH+8MMbSypudowS9Pp9Pfe4Qpc3AAI9e0YEkjSJJ5ZI/geghSuqiPWxPLwC4NH6fnR1p\nD5lTvoVypldT3swtiziQbbW2bt2Knh5VUGju3Ln47Gc/C0HIqqbnlIbQGErcv4WYlN9HRvTw1d4A\nyVA5ypmFoT24Ax93P6+M51VdgQrLcTm/rqWnF8bU/TED4JtWPynLmkeCzD0Dwo9+Dvr7XwLb35QP\net2gD3wHZMlVIEuuBJkEgl2TjavnVuDVg35EkwyHfTG8etCP82aNvy0jkxLnQQrOZ6il7KWpaqpg\nWtBbnJnecQW927Ztw0MPPYSGhgYcPHhQ6eM9ePAgGhsbMwp6PR4Ptm3bprxGU1MTrNahlUhbWlrQ\n0tKCcDiMAwcOYPny5VxogsMZI4wxeXGK9skHqupAvnhVYSfFyZjtbjXoPS2HVkXRPoZEXA4adXrA\nbB05INAGvcNmepPDe/SadA4IcTXIpuIIy5K273y4oBcDypul4lSR5OQPr9eLrVu3IhJRlc8XLVrE\nLYnGCkvC6X5SKWtkIPBXX42kaXqBJzY0kUQP3m5bo4xrbPNwYvninF9XSCTgaFc9eUOuSiSL0JM3\nGxCbA8Kt3wF762WwP6yV7y8oBXv2D2AffgDh5lVcLyTLlJp1uHh2GZ7a3Q0AWL+rC5+e4YBRN77N\nu0xKnLViVl6vF1GhQhlXSPLvqlzeLFOsmd5xvUMbNmzAD37wA6xevRoulwurV6/G6tWr8eUvfzlj\n9eYHH3wQy5Ytw7x589DU1IQ1a9YM+bxwOIyWlhY0NTVh2bJlaGpqwr333jueaXM4xzTsrVeAPSnh\nFkIg3Hg7iH5y9xcdKyQkil0datB7Ru34e3hGY2Bp82hBQWblzWpOWhoQ9BoFBwRJvSYbIdNLNJle\n5nWnPZZe3qwp92K8p/dY5tChQ9i0aZMS8AqCgAsuuABnnnkmD3jHAqNweDbCkCoTBoBg5SWIW08u\n4KSGhzIJ21p/ibgki/+ZdaU4u+5WEJL7rL6ztR1CarMtaTAgWO3K+TULCSEEwqLzINz1CHCc5vNw\n4GPQH38d9I2XuLVRllk2uwwlJnmt7I4k8dy+3gm93mglzmazWankopTC2xOCpJPHJanf0cBUzfRq\nrYmsVisOHTqEmTNnYtGiRdi6deuo57e0tMBmU2/arFYrdu/ePey1tmzZgqamJgDArFmz4PF4EA6H\nB2WGm5ub0dzcDABYvXo1KioqBr3eWNHpdFl5nakOf58yo1Dvk9Tbje6nf62MLUuugH3BuXmfRybw\nz9Jg3j/qQzQp3zTUOk2Y21CTs/ep9VAPADnArqqxjXqNUEhVlJ4xY8bg5zMK8i816C2raoBfU2Ja\naq4CCcn/NiYIKHcNf4Mo6eagK/U36fKgvLw8LXAxiJ9AkgQwpsnuMsY/T8cou3btwmuvvabccBuN\nRixZsgT19fWjnMlJgzHYup6HKbRTORQqa0LUWbxqvXu8f0ZnRO4tJSBYUP9VGPPQc2zyB2D2qzf/\nvml1wDFSPk8qqyH8131gL2wCe/YPgCQBsT6w3z4C7H4PuO42EGvuNmyPJSx6EVfPrcCj78riUhv3\nduP8WU44TOPrWs20xLl/k9vtduOk6iqIST/0RIBVdCCo2cwWEwnZ/LfINhbH9e40NDTA6/Vi5syZ\nWLhwITZv3ow77rgDzc3NirrXSHi93kEBq81mg8fjGVS23NjYiNWrVyvjAwcOwGq1DlkK3dTUpATH\nANDV1TXoOWOloqIiK68z1eHvU2YU4n1ijIH+6n4glAo8KqoQ/ffLESvS/178szSYlz9SFUDnV5nQ\n3d2ds/epo03NKBuM8RGvwRhDd3d32rGBzxeSQVT02xEJZnT1+OHtVUWojJL6W05FYdTr9dsWsUgI\nXYcOgthVQS+TjkCSBFCkWxZl433SlndxihvGGF5//XV88MEHyjG73Y5ly5ahrKysgDObnFh8r8Hi\nf0MZR5wLECn9QgFnNDLu4E581KUmYE5xXQqX9aScX5ckpTRP3nBZKeL2YyvII4IIsuRKsFNOA338\nQcAjvx/s/TfADu6Ty51PmFPgWU4Nzj+uBM/u60VbII5IguJPe7vxpTPG1/qZSYlzdXU1Pv74YwBA\nR0cHktNrYIzsBwA4RSvCUgBhhGCFDQRy4FtsauXj2n66+OKLceCAbBuxbNkydHR04KqrrsL69eux\nfPnyUc/XZga0DCWKBSAtwG1ubsYtt9wyjllzOMcm7L03gA+2KWPh+v/klgKTjO0af97Ta3J7EzUW\nj95QKAQpVZpsMplGtSuiil2RWhJtF1T1zxH7eZGyLarUilkNLnGWCAG05c2U9/QeSyQSCTz//PNp\nAa/L5cKVV17JA95xYPK/C1v3i8o4ap2DUMXSosvg9BNJdGNb26PKuNo6FydX5Edc1dHuhpiQhfMk\nnQ6B2mO3l5XMPB7CDx4COfcC9WBPF+j/fh9085NgSS4wOFF0AsF181UBuRf2++ANjb+suKZeLXHu\naBv8OtXV6ue5o6MDSaMaYJekvLmLvcR5XJnegR69DzzwALxeL1wjlKVpsdlsgwLc4QJhLc3NzVi0\naBH3COZwMoQFfGAb1BsAcu4FILNPLeCMOGOlM5zAEb8sCqETCOZW585qI5FgiITkIJEQwO7MXLk5\nE7siSZSDXm1PrxVqyeGIys39uKqB1oMA5L5e0nii8pBJJyAJAppmWcSD3mOFSCSCZ599Nq3irLGx\nERdccAH0ev0IZ3KGwhDaC3vnZmUcN89CoPoqIA99seOBsiTePPqL9D7e+vz08RqCIVh71L5Kf30t\n2DCe48cKxGgCue42sFNOB/3dL4BwEGAM7Pk/gX28E8KXvslFribIgnobTqwwYV9XFEnK8NTuLnxt\nYc3oJw5Bdb0eH+6US5w7O5JIJhh0enVzq6KiAnq9HolEAqFQCIGEA/1+DaUp7YwAAqiBXBUli1nl\nTnRzPGTtlyDTgHek544kgrVr1y64XC4e8HI4GcIYA13/KBBKBRhlFSCX3VjQOXHGzgca1eZTXGaY\nxqnQmAlaESubQ4AoZi5iNaxdUUINjKleDoyjmkyvmWjLm0cPeknlyLZFEkG6aArjQe+xQHd3N/74\nxz+mBbynnXYaLrzwQh7wjgN9pAVOz1MgqaqJhLEW/pprAVK8gdyuND9eAQvrb4NJlzs/836IRFFy\nVG3Z6HM6EC0Z+vfwWIScvhDCD38GaDfcW/aB3v110LdfK9zEpgCEEFw/X42pXjnoxxF/bFyvZbWJ\ncJSkXBAo4HGnZ2oFQUiL3452J8BSYWQJlTfmg6S4FZwz+vXasGHDmF70mmuuGfHxxsbGtMyux+PB\n3Llz08Y2m00pa+4XvuoPirdt28aDXw5nFNi7/1S98wAI198OYimuXTfO6LyvKW3OpWozkB70jubP\nC2RqV6Q+p1/tMabJ/pqhZq4zzvT2M0DB2aQXIDEmC1ml4nWe6Z36HD58GC+88ALiqZssQgjOPfdc\nnHoqr2oZD7poG5zu34GkPK6T+nL4alaACcXbFtMaeA/7NH68c6uuQKX1xBHOyB52dwd0qVJOKorw\n1/P+/4GQ0nII3/gx2IubwbY8KYtcRfvAHv8p6J7tIMtvATHlroppKjOnyoLTa6zY7g6DMmD9zk58\n79zxifXV1BsQ8MnZ3o7WBOqmp/fk1tTUoK1N7tN2d3RCmlEJXdwDZ2ozLIApUN7c0tKS8QtmagFw\nyy23YMuWLYpPr7ZPd/369YqVkcfjwT333JNWDl1VVcWDXg5nBJi/F2yDagNGzr0A5JTTCjgjznhI\nSBQ7NJne02tzu2kR6NX085aOHoBmYlckaoJeqpP7d9Msi5gRgLwzPVpPLyBnevvzuGxgT69OQDit\nuBm8p3eKs3v3brz66qtKdl+v12Px4sWYOXNmYSc2SRHjXpS0r4PA5O+kJNrhq70ZTFe8gkzBmAfv\ntK1VxjW2+Tip/MK8XFsfDsPapYr5+etqQHllwZAQQQBZfBnYSfNAH/sfpVKHbXsFrGUfhJX/BTJj\nVoFnOTm5bn4ltqfuFbYdDWFfVx9OrBi7N3R1nR779shBr8edgCSxtIovbV+v2+1G8vjq9KBX09Or\nm6xB75133pn1Czc2NiqZ23nz5qU9tmrVKuXvqqoqrFu3LuvX53CmKowx0Cd/JffPAEBZJcjlKwo7\nKc642O2JKFZF1TY96h25VUL0TyDTO3x5s9rnJunkwDimDXqpHkrQm1GmV1PePMirl8APNsCnl/tD\nTkUkScJrr72GnTtVGx2bzYaLLrqIW1SNEyHhQ0n7byBQ+eaZCmb4am8C1ZeOcmbhSNI43mz9GRK0\nDwBg1Vfg7Lpb8tLHC0pReqS1v6gEUbsNfaVDb/5xVEjD8RDuehhswxqwt16RD3rbQe//L5DLbgBp\nuoh7aI+RxjITPj3DjtcPy/d9v9/RiXvOmzbm99HuFGC1CQiHKKSkbF9UVatu4miDXq/Xi7huNkwA\ndITAIpgRYJry5kTxlTeP+1fh0KFDeOyxx3DfffcpxzZs2ACv1zvCWRwOJ9ewbcHY0mcAACAASURB\nVK8COzRqzTfcDmLmZUOTkXfb1NLms+ptOb0RoJQh6M9cuZkxllGmN628WV8CyiTEpP5/F4GeqdfJ\npKcXpeVAv0BM0A8WjSgPmXUCJLABPb086J1qxGIxbNiwIS3gdblcuOqqq3jAO06IFEJJ+68hpvrt\nKTHAV3sjJGNxCw1tdz8BX/QIAEAgOiyadjuMecpKO9we6GLyjT0VBPin1RWtqnWxQUwWCDfdAXLz\nHYAxlZGUkmB/+jXoz+8BCwZGfgHOIJbPq4SQ+vjt9kSwsyMy8glDQAhBtUbF2d2anq21WCzKBjel\nFN1RNZvsJAYEB5Y3F9n6O66gt7m5GXfffTcaGhqwa9cu5bjL5cL69euzNjkOhzM2WE8n2B/UMi/y\n2X8HOXl+AWfEGS+MMbzbqgl663J7IxcOUqUS2GQhg4zpBz0/HEYyZTthMplgMg3R78eSECV555mB\ngOqciCWD6LcUMoo2iJJGaTkDtVMiiECFxovQq4pZmfUiJDDQtKB31JfkTCICgQA2btyITz75RDl2\n3HHH4bLLLkuzN+RkDpH6UNK+DrqE7GfNIMJfcx2SpukFntnItPS+ioO+fyjj06qvQ5l5eEHUbKIP\nh2HtVP2/A3U1RedJOhkQFnwewl0PATOOUw/ufg/07q+D7d9TuIlNQmodBpw/S918fnJnZ/oGcIbU\n1KVbF1Ga/hrabO+RLnX9LgFDnMQRhVx1QRiDUGTWVOMKerdu3YpVq1ahqakJFouaQVq0aBF2796d\ntclxOJzMYZSC/vZnQF+qB7Sympc1T2IO+2LojMgLhkUv4OTK3Gbr/b05KG3WqDRT0Q4QMU3Eyqhz\npC2KGWV6gQFevWrQa9IRJMHSN5eLbKeZM34YY3jhhRfQ3a32UJ511llYvHgxV2geLzQOp/sJ6GPt\nAOTNqUD11UhYjhvlxMLS03cQ77t/p4xnOM/BrNLP5+filKLkSFtaWXOkrHhLwIsd4qqF8N0HQM5f\nph70dYP+752gzz4FRqXhT+akcdXccuhT6d5PuqNp1WKZUlIuwmSWXyMRZ+jpSg9ctUHvIXcAVDDK\n56WOFbOY1biC3mAwiKoqeaddW27n8Xj4TiuHUyDYay8AH6XK/QiBcNM3QExjFzLgFAfaxeq0Giv0\no9gHTRStcvNopc1AhsrNCW1pc7+IlRoIm3QOCEn1uhn19AIgmr5epunrNesFSEBappfwmHfKQAjB\neeedB71eD1EUcf7552PhwoW8/2+8sCSc7idhiB5WDgVdlyJmm1PASY1OLBnEG0d/BsrkG2qnsR5n\n1t6Yt8+Bw+2BPpbSIeBlzVmB6PQQrrwZwu0/AGwp73ZGwbZuAH3oh2C+nsJOcJJQbtFj8Qnqerxh\nV1d65VMGEEJQrc32DihxrqlR11+3uwNJgxwEDyVmVWy2ReMKehcuXIi1a9ciElHrxSORCNasWYOF\nCxdmbXIcDiczmKcdbKMq+Eb+7RKQ404u4Iw4E0Ub9H6qPvc9aj5tpneMys3DZ3q1ys3yc9KUm8X0\nTK+UQXkzgAGZXjXoNaV6enl589SloqICixcvxo033ojZs2cXejqTFybB0fEUjH1qmXiw4ouIOs4s\n4KRGhzKKbW2/QiRViq0XzDhn2tehy5Od0qCy5lpe1pxNyLyzINz1M+AEzcbLx7vkcucPPyjcxCYR\nl51SDmNqk/xgbwxvHgmO+TUG9vVqy6QrKiqgS63VoVAIUVIOQA16tV69xabgPK6gd+XKlTCbzVix\nYgXC4TC+973vYcWKFZg1a9aoHr0cDie7MEkC/c1DQP+OWt0MkGXLCzspzoTwRZPY3yXbBggEOD3H\n/ryMMfh71eDTWTp68JmZR69WuVnO9GqVm61iCYRUIzEjBCzD8mai8eodlOlladrNPNM7BZk5cyZm\nzJhR6GlMXhiF3bsJpvBe5VCorAl9JecUcFKZsdf7Z3SE1Da6s+tugT1PYltEoig9rKo1x2w2RMp5\nWXO2IaXlEL55D8gXr1Yz6EE/6MM/At38JJjEy51HosSkw9KTypTxhl1dkOjYFsLySh30Bvm9j/ax\ntPYnQRDgcrmUcVefXN48pFdvkSk4Z7itPphVq1bB6/UqHr6NjY1pbwKHw8kP7PmngZZ98kDUyYqI\nvL9tUvN+W0gJ3E6qMMNhzLDXdZyEghTJ1IaswUhgtoxeqpdRpjeh6enVy4FxVNPT6yDqDSPV6TIv\nERymp9esE5AEwxjXdw7n2IEx2Du3wBxUs2aRkk8jUvqFAk4qM9qC2/Fh1xZlPLviItQ5zsjb9e3u\nDujiqlqzbzova84VRBBBll0DdsIpoI//FAj4AMbAnv8T2L8+hPDlb4GUlI3+QscoF88uw/P7exFJ\nULQF4njtUABfaBx6nR4KQSCoqtGh9bB8Y+BpT6CkTA0Za2pq0N4u6wAc6WJorACMRICJ6AaUN0+B\nTG8/LpcLCxYswIIFC3jAy+EUANayD+y5p5Qxueg/QKbnR72SkzvSrIpyrNoMAP4edRe3pEwctTeO\nMZZRpldMDvbo7dP49tqIU/P4GPZgK1xAvw9nbxdYQl5Y+y2LKFXnTxi/KeVwAACMwdb9PMyBd5RD\nfY5PIVR+YdEHb4GYG2+3PqqMq6xzMMd1Wd6ubwiGYOtSBdT8dbW8rDkPkNmnQvjhI8DsU9WD+/fI\n5c4f7Rz+xGMcu1HEstnqpsBTu7uQHONucFWaivPwYlb/cvcpfzshDLAtKq5M75iC3rfffhtbt24d\n1ovX6/Wm+fZyOJzcwaJ9oL9+EIrPzHEng/z7pYWdFGfCJCSKD9yqXsJZ+ejn7VEXtJKy0bPKkUhE\nsSsyGo1D2xVhgEdvf9CrCYRtcCh/U33mQS/R6YGylB8rY0CXB4BWyErzXBT3zTyHky+sPc2w+F5X\nxlH7fAQrlxV9wJuQ+vDG0YeRoPLNtUVfjoX1X4VAJpS3yRgiSSg50qqMow47+sqG3ujjZB/iKIXw\njR+BXHRNernzQ3eBbv0DV3cehotOKoXdIH9HPKEEXmnxj3JGOq5qPYTUVyzgkxAJq/ZE/WLGANDW\n0QtJlDewnUREQNPTW2xevRn/Ynz3u9/Fo48+is2bN+P222/HO++oO4WRSARr167F7bffnmZhxOFw\ncgf706+B/n5GkxnCzXfIHqacSc1uTwTRpLy4VNv0qHfkPpvgS8v0jq2f1+l0Dp0ZZjTdskjfn+lV\nVTgtTF0vxpTpBQCNgnP/98CUKm9mTJvpHdvLcjhTEUvPK7D2vqyMo9ZTEHBdrlZMFCmMUbzdthaB\nlKWSSPQ4Z9o3YNTZ8zYHR5sbulQ1CRVF+Lhac94hgghh6dUQ7rgbcKQ2HBgDe/YPoI/8GCzgG/kF\njkEsehGXnFyujP+0pxsJKfMFUacnKHep67KnXS1VttlsiltPIpFAH5Gzyk6iQx/6kICc4RUoBZEo\nioWMfu22bt0Kl8uFdevWYd26dTj77LPx05/+FH19fWhubsZtt92Gzs5OrF69GnfccUeu58zhHPOw\nHdvA/vk3ZUyuuRWkomqEMziThXda00ubc23DQSmD35de3jwaGYlYSWEQJmeDqWACE0xgjKVles3M\nqM5jDJleACCavl6WUnCWM70MVBP0ChPr4uFwJj3m3n/C1qOuFzHLCQhUXw2Q4t8k/ajrObQF31PG\nZ9bejDLzzLxd3+QPwNqj/mb56mtBuWZGwSCzT4Vw1yPAiXPVgx/uAL3nG2CffFi4iRUpF55QqmiC\neMMJvHJwbNne6lr1s64NeoH0bG93VLbHdBIdQIAg1PsYMVE8fb0Z3Q00Nzfj2muvVca33norAODG\nG2/ESy+9hFWrVuH73/8+GhoacjNLDoejwHq7QZ/4uTImZ34aZMHnCjchTtagjGHbUdVeYMG03Gcz\ngn6K/uowk4XAaBp9WchMuVlb2iwLViVoBEkq+1uKxAC9RDTPGWumV6PYqsn0SmCQKM/CjBePx4Mt\nW7Zg165d2LJlC8Lh8LDPbWlpQXNzM7Zs2YIHH3wQHo8njzPlZETHK7B3P68M4+ZZ8FdfC5Bx65jm\njfbgDuz2blTGJ5RdgJl5VJgWEkk4j6plzX0lTkRLeVlzoSHOUgir7gZZcqV60NcD+r//D/Rvm9Ps\ndY51zHoBl2h6e5/e0zWmbK+2r7fLm0QioZ6rDXo7/PKaW5L6XQkR9T5m0gW9Ho8nTaiqv4T5jjvu\nwP3334+5c+cOdyqHw8kijFLZniiU+kEprQC59is5zwZy8sO+rj70RuUI1GkUMbvSnPNrpvfzZnYj\n3N2tCrqUlg5t2ZHu0TtYxMqiL4OQUDPMY82epGd6ZQVng0jACNIyvYRnesfEgw8+iGXLlmHevHlo\namrCmjVrhnxeOBxGS0sLmpqasGzZMjQ1NeHee+/N82w5I2Hyvwvh0AZlHDfNhK/mekAo/kxlIObG\nttZfot9o22WZjVOrr87fBBiD82grxKT8GyXpdfDV1+bv+pwRIYII4eJrIXz9h4AttTlMKdjT60Af\nXQ0WGX6z7lhjcVq2NzmmbK/ZIsBRIp/LKNDZoQaw2qD3kFcuZ+63LQphEge9Q2GxWDBv3rxszoXD\n4YwCe3Ez8PEueUAIhJtXgVjz19vEyS3bjmpKm+ttEIXcb2Zo/fcyKW0GgN5eNXgtKxvaNkLQBLhS\nqp83klT7ec36MohJdTGkWcj0EkJg1glp6s0CF7LKmJaWFthsqnCa1WrF7t27h3xuf0a4n1mzZsHj\n8YyYGebkD1PgPdg7NyvjhHEa/LU3AkLxKw7HpTBeP/JgunDVtNsg5DE7benphTmg3rj7pteDjfU3\nipNzyJwzIPzgYaDhBPXg9rdA71sF1nqwcBMrIsx6AZecPP5sb3Wd+rnvaFPXbG0y9JNUW5YZAvQg\nCGozvUVkWzTubzAhhGeXOJw8wg5+ArblSWVMFl8BcuKcAs6Ik03YgNLmhXkobQYGiFiVjh70JpNJ\nxaOXEJJRpncouyKzrhRCRM0yS2Ps6U3z6u32gkkSiCjCpBcgMXU/lzCe6c0Ur9eriJP0Y7PZ4PF4\n0nb1AaCxsRGrV69WxgcOHIDVah10PiC3SDU3NwMAVq9ejYqKignPVafTZeV1piSdb4J4/wySypIy\n6wyIs1ehXFf8QqOUSXh+z88QjMvVGzrBiC/O/REq7bNyet20z1OkD/rdan+oVF8He0MDjvXt5aL9\nzlVUgD3wGIJP/Bx9f0mVw3vdoPd/G46vfBvmzy3O63SK8X26bmEptnzcC19fEt5wEu94JSybWz36\niQBwShT798pl/p0dEsrKyiGkNuTLy8vR3d2NaAJIig7opACcRJeW6bWIIoxDvB+FeJ8yvsu46aab\n0sbhcBi33XbbkM/9zW9+M7FZcTicNFg0Avr4/wJSKkBpPBFkaR5LvTg555Avho6Q6jd7anXub1Al\niSEwRhErbZbX4XBAN0z2Y+jyZo1ys64MYiKpec4YhayMJsBZCvh7ASkJ+LqBchfMOgFJqga6PNOb\nOaFQaMjjw2VvtQFuc3MzbrnlliGf19TUhKamJmXc1dU1gVnKVFRUZOV1phrG4AdweJ5WA17LNHS5\nrgfzRQBERj65CNjp+SMO97yrjM+q/RJIrARdsdz+t1Y+T4yh4pMWkNRamzAa0VVWAsY/a8X/nbv4\nepDamWC/+wUQiwLxGAKP3IPgzvdArvwSSJ4EyIr1fVp2Uime+KATALBu2yF8yiVCL46+PjIwmMwE\n0T6GeIxi/8ceVKRUnSsqKpR2J1/MggpdKujVZHoTwSB6hng/svU+1dZm3naQ0V3G8uXLxz0ZDocz\nMRhjYE/+Kt2e6EvfBOGlVlMKbZb3zDor9GLuM5QBn6RY6FltAvSG0a/Z06MGrsOVNgOAkNBkeoco\nb7aJZSCpi1NCwIRx/HvLXXLQCwBdXjno1QuQNEEv7+nNHJvNNijAHS4Q1tLc3IxFixZhwYIFuZoa\nJwOMwZ1pAW/CUA1x9iowf7TAM8uMQ7438HHXc8p4dsVSTHfm9zNl83hhiMibAwyAb0b9+H6bOAVB\n+NS5YNMaQH+1GnAfBQCwV18AO3wAwq3fASmrLPAMC8eFJ5TimQ974I9J6Iwk8epBP84/bnRhNkII\nqmr1OHxA7tv1tCWUoLeqqgr79u0DAHSGdKgokb16jxapkFVGd80XXXRRrufB4XCGgb35Etjbrylj\ncu1XQSozLEvhTBre0vTzFqS0OcN+3kyD3tGErBxELYumet24fC9JuQusRV5wWbcHBHPkTG9C/bdw\ny6LM0fZoaWlsbBz2nF27dsHlcnGNjwJjDO6Cw/NHJeBNGqrgq7sZ5XobgOIPersj/8K77b9WxjW2\nUzHHdXle56APh2Hv8CrjYE0VEpbiLwnnpENqpkH4f/8D9tufg73/hnzw4H7Qe+6AsPK/QGafWtgJ\nFgiTTsCy2WX43Q4527txbze+0OjMSDukuk4T9LYncMppssimtu3laLeE2SWymNVHU03IisPh5B7W\nfgRsw6PKmJzTBOHszxZwRpxc4A7GcdgnW/noBYLTa22jnJEdtMrNziwGvYTGIKREaBhEUFH+90Q0\n5c024lD+HrOIVT8VmiCtS75ZNekFSNBmenl5c6Y0NjamZXY9Hk+aO8NAoap+4av+gHfbtm35myxH\nQQ54n9IEvC701n4JTMzP78hEiSR68PrRh0GZfHPsMNZhYf1tEEgeb1GTSZQePqr8WsSsFoRcx25W\ncLJDTBaQW74NctXNgJha20IB0Id+CPrXTcesrdHiE0pgT1V0dYQS+MehQEbnlbt0ytsYDlGEgvKG\neWVlJYRUJYRWwbkPfUhCvr8QJKq0CxQaXh/J4RQpLBYDXfs/QFz+IUHNNJD/WFnYSXFywlua0ub5\nNVaY9fm52fOnZXozWw4yCXoHlTanbl77khrLImZFfwZKGm+vVYVGXKlbDnrNOgFxiWd6x8stt9yC\nLVu2oKGhAQcPHkzr012/fr1iZeTxeHDPPfekBcFVVVW8xDnPDB3wfhlMNzkC3iSN4fUjDyGalMXx\nDKINn5l+B/Ri7u3atIj7PlFUZqkgwDdj2riqTzjFAyEEpGkZ2PTjQNf+RG6FYRRs0xNgBz+BsOJr\nIKZjK5Nv0YtYelIZNuySe2mf3tuNc2c6Rs32iiJBRZUOnnY5kPW2J2A7UYROp0N5eTk6OzvRGZLv\nIZxEBxAgjBCckKu8hEQSkpjZxnou4UEvh1OksD8+BrQdlgd6A4Rbvi2L93CmHOmqzfm5WU0mGIJB\nKg8I4MxAuVmSJEW5GRjJo1cNbvtLm5M0jrgUSl1OhInqNc8Z31JEyqvQv1/PUkGvSScgwYPecdPY\n2KiUMw8sWV61apXyd1VVFdatW5fXuXHSMQZ3wOH506QNeBmjeKdtLXqjhwDIvwuLpt0Om6Fq5BOz\njKnXB9HdoYx90+ogGYrf2omTGeSEUyDc+SDoow8ABz6WD25/E9R9FMJXvwdSXV/YCeaZJSeW4pmP\nehBJULQF4njzSBCfmekY9byqWr0S9HrcSTSemDpeVYXOzk70JQREqQk20gcBQJAE4WTy+i8mEpBM\nxlz9kzKG3w1wOEUI3fYq2D//pozJ1V8GqZtRwBlxckV3JIF9XXLGUyDAWfX56ef1+yT0R4x2hwCd\nbvSsht/vB6VyoGyz2WAY5sZQSKqBcb9dUVQTCJv1JRA15U7jLm8u15Y3e1KvLSDB1NfjQlacqYgp\nsH1SB7wAsMf7ZxwNvKOMT6+5HlXWk/M6BzEWR8nRNmUcKS1BtHR0cR/O5IKUlEP41n0gn1+iHnQf\nBf3vb4HteLtwEysANoOIJSeoG9ZP7+kGzaDc21WjblT3dCaRTMjnaPt6e/qMEAiBY4BtUbH09fK7\nAQ6nyGDtR8B+/3/KmJz1GZDP/FsBZ8TJJW8cUReGOS4LHMb8lAD1dqv9vNksbQYAMTE406vt5zXr\nSiEkJuDR20+5pueutwtMkuTyZqq+Hs/0cqYapsB7sHs3polWTbaA95DvdXzYtUUZH1d2Po4r+0J+\nJ8EYSg8fgZDayEsaDPDXZ25/wplcEJ0ewjW3gNx0B6BPbdj2RUD/7z7QLRvAUp+DY4GLTiqFKbXR\nfdgfwzuto6v0my0CHE55PaUU6PTIgaw26HWnOpscENNsi/pbBwoNvxvgcIoIFu2TS3DisqgRqutA\nrr8NhPcWTVleP6wKSXx6xuglRtmip0sNOkvLc6fc3G9XpFVutujLICbH79HbD9EbAGdqHpQCvV1y\nplcaEPQeo6IlnKmHyf8OHN5NGluiGvTWTa6AtzO8L02pudo2D6dV598a0+72wBBJCe4Rgt4Z08CK\noO+Qk1uEhZ+H8J0H0iqF2HNPgf7yv8EiQ3uSTzUcJh0WH5+e7c1E3MtVq2Z7vW55DS8rK4MutYa3\n9cqvYSc6BHmml8PhDIfsx/tLxVsOBgOEW797zAktHEt4Q+mlzfnq52WMobdLLS8uq8huplfQBr06\neWHVevRmLdMLpCs4d3th0gmIMwMkFIdaJIeTLcy+N+Ho3KyME8Za+OpuBhOtBZzV2AjFvXjj6COg\nTP7+q0rN+Q02DcEQbN5OZSzNakDCytfaYwUyYxaE7z8IaO2Ldr4Dev+3wNythZtYHrl4dhkMopxQ\n+VdPFDs7IqOeU1WjDXoTYIxBEATF7q5fzMpBBmR6edDL4XC0sH+8mO7Hu/wrvI93ivP6ETXLO7/a\nCocpP9qC4RBFPCbvyOoNBDZHZkvB+Dx6nQDSM73mQZnecao3Q/bq7Yd1eWHWC0gyHRjUUjXCM72c\nSY6l9zXYu55VxgljHXy1X5pUAW9cCuMfh3+KmCTfDBtFO86d/k0YxPwGm0Ii3Z4oareBzpie1zlw\nCg+xOyB8/UcgF1yiHuxoA/3vbx4Tfb4lZh2aZjmV8ca93aOfUy5Cb5C/OdE+hoBPXmf7g16vEvTy\nTC+HwxkGdnA/2FNrlTE5pwnCovMKOCNOPnj9sLoofHpGfgSsAKRleUvLxYzK5yml6O1VA9dhg16W\nhJBUg3m1vFkNmC26UgjaoHcimV6tmFW3J9XTa4CkCXqPpV4tzhSDMVh6XoKt+6/KoYRpeirgza+t\nz0SQaBJvHHkEwXg7AEAgenx6+jdgNeTZC5cxlBw5qmy6SToRvun13J7oGIWIIoTLV4B8+VtAvzBj\ntE/u833uqSm/dlw8uwz9bkW7PRF83Nk34vMFgcBVra7XXrcczPYHveG4gGhSl8r0qn3CAu/p5XA4\nAMCCftBHVwP9QUB9A8g1t4x8EmfS4w7GcaBHLm3WCQRnT8tf0Kvt5820tDkQCEBKKS5bLBaYTEPb\nZ4mJXqXfUNI5ASK/fkSj3mwTSpXsKxUEMGECS5G2vLnLC5OeID4g0wvGS505kxDGYO1+EbaeZuVQ\n3NQAX+1NYOLksa9jjOHd9sfhjXykHDu7biUqLCfkfS42bydMQfVm3Dd9Guh4fcI5UwbhU+dC+M5P\n0vt8t2wAXfMTsOjIgeBkpspmwGc1dkWZZHu1Ks6edjmYrazs37wi8IZ0cBAdIgiDptZhUZJk3Y0C\nw4NeDqeAMEkCXfs/QI9sFA6LFcJXvgtiKLyfGSe3/FMjYHV6rRU2Q/562nq1IlYVWRaxSqiLpqQv\nV/7WZnptRF1kJ5TlhezV2w/r9sKsExFnOmWxBQBKedDLmWQwClvXs7D61JaXmPl4+GpvBBMm1/qw\nt3MzDvvfUMZzXVdgunNB3udhCIVhd3uUcdBViZgjf5uNnOKGTG+U+3xPnKse3P4m6Opvg3V2DH/i\nJOfSU9R1+t22EA71Rkd8fmWNumb39kiIxyhKS0sVMauOgAAzBAiEIQR1g0nU6HgUCh70cjgFhD3z\nJPDxLmUs3LwKxFVTwBlx8kVaafP0/N14xeMUwYAcEBKSuV1RRqXNAMREl/K3pK8AAFAmIarx7rUw\ntYdPGq9Hbz8VatCLLk8q0yukBb0808uZVDAKu/fPsPjfUg7FLLPhr7kOEIb2xi5WDvr+ib0a8a2G\nks9idsXSvM9DSCZReviI0scbs1oQrKka8RzOsQexOyB848cg52k+o22HQe/7JpjmXm0qMd1pxAKN\niOamD3tGeDZgNAqq4wMDvB1JCIKgZHu9QR1Iv1dvkYlZ8aCXwykQbPubYH/dpIzJ0qtB5p1VwBlx\n8sVRfwyHfbItlUEkOKs+f3Yjvd1qAOgsFaHTZdbLps30lpaWDvs8baY3mcr0RpN+pdzYKNqh18Sg\n47UrUijTevV2w0wYYkxMK29mtPCLLYeTESwJh+cpmIPvK4eitnnw1ywHhMlVhtsR2o1321Rroirr\nHJxZe2P+LfgYQ8nho0qmSRJF9M6Yzvt4OUNCdDoIV38Z5MavAf3rUzgI+tBdoK/8JSNrn8nG5f+f\nvTMPk6Mq9//3nKrepveenn3NZIVshCVAEFCJCAqCuKNe7nWBe8UVEK4CKqAssoOKKIooeK/6Q29c\ncCEssgYkEBISss5k9n16eqb3rjrn90f1VHVPMmtmuron5/M8PE/36aqeN8N0V33P+77fNyvb+0Lr\nCLpHU5MeXz7OxRkwSpz7o4aZVaTAzKyE6BUITIB3toL9/B5jYfWJIOd93LyABHklezbviTUulFhM\nKm2e5nxeYPrlzXLq0EzveOfm3HFFR3YjTywWwJeJhzPYIyGkMb682fyyKoFgSlgK3u5fwR7ZoS/F\nPSdipOJjQJ5H+hwpoUQrXmy/DzwzOsxrq8OGui+Bkvw41GdzaB9vLZi1uDYQBPmHnrYR9KqbAW9m\nk5cx8F8/CP7oj8AV8wXcXLK01IG1lVoFFuPAprcnz/aWZ5U49/co4JwbDs6jGdGLXDMrqQDMrITo\nFQjyDI+Ogv3we0Ay0zdRVgn62a+BHImZj6Bo4JzjeZNcmwFgKHs+b9n0bkA55zmit7S0dMJjc3p6\nrdpx8awZvSWWAGjWDcMRZ3qBHPMR+3A/FELAkbUbLzK9ggKHqAn4uh6GBmCkFAAAIABJREFULbZX\nX4t5N2C07CKAFNe1IZYexPOtd0Jh2jXOIftxRsNVeR9NBGjzeHP7eINIej2TnCEQGJDFK7Q+34Yl\n+hp/7u9gd38LfDQ8yZnFx4eysr1PNYcxnJh4s9jrl2C1aZUSqSRHOKTqonc0SZFUKNzjxhZRkekV\nCI4uuKpoxlVjpgg2O+jl14I4hZnG0cL+oQQ6R7TSIbtMcWJ1/kqbGeMYHszO9E5PcEYiEaQzFyyb\nzQaHY4JRKVwBzczo5SBQZS0DG8sysXLI/hxDiyM1sgJyzazIUB+IRMGQXUNt/sVWIJgIokTg6/op\nrImD+lrU/25EgucVXQluSo3in623I55xa7dQB85o+DpKLBNXh8wXNJ3OmcebdDoxWlWZ9zgExQ3x\nl4JefQvIyWcai3t3an2+HQdNi2uuWVNRgsUBzSQvpXL8ZU9owmMJISirzM32+v1+SJIEgKA/ImXG\nFonyZoHgqCXyqweAXdv05/QzXwOpaTAxIkG+eabZ2B3eUO+GTc7f1/DIsIrM1CE4SggcJdP72QMD\nRslyaWnphD15UnpIH1fEZK/eg5hd3qxlerPKm+ci0ztubBGVaE6ml3PzL7YCweGg6WH4O38CS7JL\nXxsNvh/R0vcUneBVWQovtN2NkWQnAIASCafVfQU+e13+g+Ec/oPZ83hlhBrriu53KigMiNUG8tkr\nQC66xPgbGuwDu/Ua8G1bzA1ujiCE4KJjjWzvE3tDiKcnHjNUXpnV19uThiRJCAa1lqaBqCx6egWC\noxn20tOIbfof/Tk57+Mgx59qYkSCfJNWOZ7LKm1+16L8ltnllDZPcz4vkCt6xy5qh+Nwzs0AEFPm\nN9ObXd6MwV7IspTr3qyaf7EVCMYjpXrh73gAcrofgFYdMVL+IcR97zA5spnDOMOWjgfQH9ujr51U\n/XlUuFaaEo+nuwe2aBQAwAGEGsQ8XsGRQQgBPfdDoJdfC9gy1U7JONiPbgH76+MLwuDq1Do3Kl3a\n5ySSYth8YHjCY7MzvaEBFemU0dc7ENUyvaPZmV7R0ysQHB3w/W+D/+oHxsLa9SDnC+Oqo43XuyMY\nTWrCM1giY1VFfnvccufzTl9s9vX16Y+NIfSHIqUOdW4GDmNkNceZXpKV6eWDfZAtNMe9mQnRKygw\n5EQb/B0PQlI1UzsOCSOVFyPhOdHkyGYO5xyvd/8SHaOv6WtrKz6ORt9ppsRjHw7D1WdswI1WViDl\nzl8biWBhQ9auB/3G943NVs7Bf/8I+MP3gBdANvNIkCjBBccYrQib3h6Cwg4v5m12Cq9fM9jjHBjo\nS+v3BwMRGXZQpBDVq66oomgHmogQvQLBPMMH+8B+dDMwdqNf0wD6uSuEcdVRyDPNhmvzOxd5QfNc\najeUJXoDwem7wWZneicTvXJ2ptdqZHpzjKxkX47onRsjq9xZvRaJCNErKFis0b3wdz4EyuIAAEas\nGK7+dyRdq0yObHbs6t+EA6Gn9OfLSs/FiuD7TYlFTiTga+vQnyc8bkQqJv7OEghmA6lp0Ayulh6r\nr/GXnwG76zqw4cmdjwuds5q88Nq0+4P+mJIzbWI84/t6jUyvNqvXSQli0CouCMwvcRZ33QLBPMIT\nMbD7bwIyLn/E4wP94nUg9vy7WArMJZJU8a9Ow77/nXkubY5FVSTi2i6rJANu7/REbzKZRDis/f1S\nSicdV5Tj3JzJ9HLOczK9Tnh1YxkmScBcbP7kzOodgkUmYNk9vcLISlAg2EbfgLf7EZBMnzmjTgzX\nfB7pkiVTnFmY7B/ajLf6jXnz9d5TcVyFOVVMRFXhb2kDZdqGl2K1IlQv+ngF8wNxe0CvuAnktLOM\nxf1vY/Caz4N3tpoX2BFikynev9yvP//9rqEJS7dz+nq70wgEAqCUYjBrVm92ibPZDs5C9AoE8wRn\nKthDdwFjX36yDN81t4AEKyY/UbAgeaFtRC8TWhKwo85ry+vPH+jNzvLKoHR6N4LZWd5AIAB5kszs\n4URvSo1Azdzgy9QOGzfOnxMTKxw6q9fK0zmZXq6KOb0C83GEnoe397cgmb9NVfYhVHsZFHutyZHN\njrbwK9ja/Uv9eYVzFdZXXwpixoglzuFr64AlmQQAMEIwtKgeXC6u+caC4oLIFpBLvgzykf/QN1dY\nXzfYrVeD79hqcnSz59xlftgk7d/TOpzEtp7YYY/zByWMXcbjMY5EjKC0tBRpRjAcl7RZvSicvl4h\negWCeYL/9ufAm6/qz8mnL4f12LUmRiQwk+zS5nc15X9O5ECfIfyC5dMXm/39/frjyUqbwdKgipYR\n5iBQMyNKxkaXAJpz85ybWI2RtZlkVRO5opcJ0SswEc7gGngC7sEn9CXFWoFQ7X9CtRZn6W1PZAde\n6XwAyFRUBBxNOK3uK5DoHH6mZ4CrbwCOsPEdG66rgTLRaDWBYA4hhICe/UHQy68zDK4ScbD7bwJ7\n6s9FaXDlsUnYuMSnP/+/tw9fsk0pQbAi28U5q8Q5Ih2S6c2+/puBEL0CwTzAnvoz+FN/0p+T914E\nuuGsSc4QLGS6R1PYPaD170kEOL0hv6KXc47BbNFbMR/OzdnjinwA0X7G+Bm9cz6uKAPJcnC2p6M5\n5c0QmV6BWXAFnt7fomT4eX0pZW9EqOYybaxXETIYO4AX2+8F45opn9tajTPqr4JFspsSj21kFO7u\nHv15NBhAPOCf5AyBYO4ha08C/e9bQcsyG7Ccgf/vT8B//SC4qk5+cgHygeV+jBWEbeuO4mAocdjj\nsvt6+7rTOX297gIbWyREr0Awx/A3/wX+m4eMheM3gFz0b+YFJDCdZ1qM2bzHV7vgtec3GxKNML2f\nV7YAXt/0S/6m7dycZWKlZI0riqR69cdOa1muidVcZnqzzKzsidHcTC+K74ZDUPwQNQFf18OwR97U\n15LOYzFc/RlwqTizkMOJdjzXdjsUppURl1hK8c7Gq2GT3abEIyWT8Le26T4BSWcJwtVVpsQiEJDa\nRQjc9hCwaJm+xp99AuwH3wWPH75EuFCpdFtxcq3xud60+/DZ3vIq4zo+2K+gNJA9q1dChBheJkL0\nCgQLCN56AOyntwM8c8O9aBnoZ78mnJqPYlTG8dQBQ/SaUtqc1c9bWiaDTLOfV1VVDA0ZF7rJnZuz\n+nmtxriiSMoQzS5LRc5Fb06cm8fIGltkj4/kZHpZEe6yC4obqoTh73wQ1nizvhbznIxw5ScBWpzz\nYkeTvfhn621IqZobq01y48yGq1GSNZ4snxBVRaClFVTN9EhbLAg11s+NOZ5AMEskfynoVd8DOel0\nY/GtrWC3XQM+2D/xiQXIB481jCufOziCwdihorXEKcHp1j5zTAUIfKCUZkRvbqaXplLzH/QkiG8G\ngWCO4AO9YPffCCQzJSCl5ZpTszW/hkWCwuKN7igGYpro9NgkrK/J/7zInH7eiunfcA8NDYFlnFA9\nHg9ston/lrMzvWpOpjdL9FrLc4wsVMvc3fznlDdHhnIyvWDsMGcIBPODlOyBv+MByCmj5DYSeC8i\nZRcAZpg8zQGx9CCebb0ViUzfvoU6cEbD1fDYqs0JaMy4KqFlnHnGuIrN4XeKQDBbiNUG8rkrQd7/\nUWOxsxXslqvAW/aZF9gMWR50YEVQq0pRGPDE3uHDHleeVeIcGgD8fj8GIhJsIEiSqP4aTQvRKxAU\nPTwyAnbvd4BwxrSnxAn6lW+DeHyTnidY+Dx5wLhIvLvJC4uU36/dQ/p558PECod3bgamEL1W67Rj\nmZKssUX2SCjXPIQL0SvID5bYfvg7fwxJN3WjGCn/CGKBdxbt6JyEEsazB29DLLOxJRErTq+/EgFH\no2kxuXv6coyrhutqkC4RowAFhQOhFPTCT4H8x1e0OYEAEA6B3fEN8De2mBvcDLjwGCPb+7d9ISSU\nQ6+n2Zvp/T0KgsEgwgkJCiOgxOgFlhQVMNHYS4hegeAI4akk2A++C/R0aguyDHr5tSBVdeYGJjCd\nUFzBvzqMfpb3LM6/cc1omCGV1C4yVhuB2zv9r/0Zid7UoZlezhmiaeM9XNYKSFnlTcpcil6/kV12\njAyOm9MrRK9g/rGPvAZf18OgbGxsjg3h6kuQ8BxvcmSzJ6lE8OzB2zCa6gYAUCLhtLqvoMy53LSY\n7MNhuHuNzbRIsFQYVwkKFrrhLNCv3QiUZKq8UimwB24Be3JTUTg7r691odKlidpIiuW0a41RWi7r\ne3ojwyr8/iA4CAajMkooQwradZ9ygKjmXY+F6BUIjgDOVLCf3gkc2K0tEAL62StAlq0yNzBBQfBU\ncxhq5pp2bJkDtXmezQvkljZrF6bpZ5uyRe9kzs1gKUiqlnXhoFAt2g1oXAmBZWb02iQ3rLBByvTX\nckLm1MiK2GyAS+uXtisJkekV5A/O4Rx8Ep6+x40ZvJIHw7WXIVWybIqTC5eUGsM/W7+PcLIdAEBA\ncErNF1DlXmNaTJZYHL7Wdv15wu3CSI0wrhIUNmT5KtBvfB8oq9QWOAf/7c+KwtlZogQfWGFke/+4\newgqyxXrFguBr9QwyJSpdg8w1tcbRZaZlWKemZUQvQLBLOGcgz/6ALDNKFMhH/scyInvMDEqQaHA\nOMeT+43S5rOXmFPqPtBnXGBmUtrMOc8ZVzS5c3N2abMfINrFbzTLudllrYCU1c+jWixzX+6ZcY10\nqMnckUWFv5kuKFZYGp7e38AZelpfSlsrEar7AhRb8YoxhSXwfNudCCVaMisE62suRZ13vWkx0XRa\nM67KbGgpNitCDfVFWzYuOLoglbWg37gDWLxCX+PPPgH2w++BJ+ImRjY1Zy32wmnVJGNPJI3XuiKH\nHFOWNQpRTWpVbQNRGR5IiOb09Zo3QlCIXoFglvA//Ar8+X/oz8l7Pwh61vkmRiQoJN7qjaEnoglO\np5ViQ33+R3pwNvt+3pGREaQypch2ux0u18QGXPKs+nnnwXAmU+LsUJLgWUqXFEEJmaD4IGoEvq6f\n5Y4kKlmK4drincELAApL4vm2uzEQ26uvnVj172j0mbihyxgCLa26+zujFIOLGsHl6Y9fEwjMhrg9\noFd+N9fZecdrYLd/E3z48COBCgG7TPHerI37P+0OHXJMWVZfb3hIhtPpxEBEOjTTa+LYIiF6BYJZ\nwP7xB/C//j/9OTnlXSAXXWJiRIJC4x9ZWd53Nnpgk/P/dRseVjFWSWR3EH2swHQY3887WVl0bqbX\nKIOO5mR6y3P6eefUxCoDyWR67WoSLEfoCtErmFukVB8C7Q/AmmjV1+Ke9QhXXQJO7SZGdmSoLIUX\n2u5BX3SXvnZc5SexOPBu84LiHP62DlhjWjaMAwg11kO1i8kIguKDWKyas/O5HzIW2w6A3fJ18M42\n8wKbgvct82Ns2uGO3hhaQomc132lEsamEMZjHH5/EP1RGW6Sm+mVRKZXICge2ItPgf/uYWNhzUkg\nl3xJzOIV6IwkFLzcbuxsmlba3Ds3/bxTOzdnm1gdPtPrtFbkZHqVecn0anGOL28mQvMK5hBLbB/8\nHQ9AUrTMDAfBaPD9GC27UC/tL0ZUlsaL7feiN/qWvra6/CNYXnqOiVFlnJqHDfOckZoqJD35r5wR\nCOYKQinoRZeAfPoLxlzpoX5tlu+eHeYGNwFlTktOxdr4bC+lBKVZ1WQOWwCDURnucZleKjK9AkFx\nwLe+BP7L+42FJceCXnY1iDx3hjyC4mdzcxhKxuhhaakdjX5zMj8DsyxtBo7cuRk4tLxZnudML/RM\nbwq5PhtC9QrmBkf4Zfi6fgHKtCwHJxaEKz+FuO8dRd1bqjIFL7Xfh+7Idn1tVdmHcGzZB0yMCnAM\nhXKcmqPBAKJlk5jqCQRFBD3jHNAvXg/YtFm4iEfB7vk22Cv/NDewCcg2tPrnwREMJ3KzttklzoT5\nkVAo0ikJ8axML0nnZojziRC9AsE04Tu2gv30DmBs/EltI+iXrgOxihIrgYHKOP6aNcD9nKXmZHlV\nhWOwP0v0VszMxGraopdzyKke/aliq9DfI0f0WsaXN899ppdkenotXM0pby5eKSIoGLgKV/8muPv/\nmOPQHKq5DCnXsSYHd2SoTMHLHfejK7JNXzu27EKsLL/QxKgAayQKX3un/jzhdiFcU21iRALB3ENW\nnwB69c2ANyMoFQX8oTvB/vp4wY00Wh50YFmptomvMI6/Zd3rAECw0rjPSMa0aQqDUQs4iRkHpYTo\nFQgKGr5nB9gDtwBqRkRU1IB+9QaQkonNfQRHJ691RtAX1cp33DYJpzd4TIljoF8By0xCcHkoSpzT\nL7uMRCKIRrWdWYvFAp9vYuFOlbCe9WLUASZp/96UGkGaaRc6mdpgl725RlaWecj0lhriXOEMCSQQ\nQxQqN6+HSFD8EDUGX9cvUBI2nPrTtlqE6i6HYq8xMbIjR2VpvNRxHzpHX9fXjgmej1VlF5kYFSAl\nkgi0tOomdGm7DaFG4dQsWJiQ+sXaSKOqOn2N//4RbaQRK6yRRudnZXuf2BdCOmvurstNYXdon1HC\nXZBlGQMRCYQYQldSRE+vQFCw8AO7we6/CRgbt1JaDnrFjSBev7mBCQqSP+81+lzOXuw1xcAKAPq6\nDIFZXjWzrGp3d7f+uLKyEnSSfnU5ZRyrWCv1m9JIlomV01IOwrl+seOYJ/dmb0D/+c3xTvzT9hBe\ntP0CHWrrFCcKBIdHSvXB3/EjWOP79bWEazVCNZeCyeZsaM0VKkvjpfb70DX6hr62IngeVpd/ZEb9\n/3MNVRSUNh8EzcwvVWUZQ4sawaXi7ZcWCKaClJaDXnMbsHy1vsaffQLsgdvAU0kTI8tlQ70bpQ4t\noxtOqHju4Ij+GiFEryojhMJZEkB/VIZEjPgtinnZayF6BYJJ4C37wO69AUhmdql8AdArbgIJTN7j\nKDg6aQsnsb1Hy25SApy7zJyNEc45eruN3dSKqpn1844XvZMhJw1xq9iMY3P7eSvGZXnnYUYvoPXW\nZzajhvsaYO+og9RWi0RoyZz/LMHCxxrdDX/Hj3JGckUCZ2Gk4uMAnYdNmzyimVbdl1PSfEzwfKwp\n/6ipgheMIdB8UO//Z4RgqKkBqm0eKkMEggKDOF2gX/kOyPozjMVtW8Duuh58dGTiE/OITAnet9y4\nt/nL3lBOGXZ2X69V9mMgKsNBFCjQ7kkkTkFUc7LXQvQKBBPAW/eD3fMtIJ5pwHd5NMFbXmVuYIKC\n5S97jCzvybUulDnNuTGOjDLEo1rJkSQDgeDMRG9Pj9GjW1U1+d/7IZnesRjGm1il59nEaoxMX2/L\nkA9/e9uHJ/eW4uBI+fz9PMHCg3OUhJ6Ft/uXoEzLUGiGVZ9ELLARIMV966SwFF5ovxvdOYL3A6Zn\neME5/K3tOaOJhhvrkS4pMS8mgSDPEIsF5LNXgLz3g8bigd2as3N/z8Qn5pGzl/hglbTvigNDSewe\niOuvZfuHcMWvOThTaZyDszklzsX9zS0QzBO89QDYXd8CYmOC160J3qx+C4Egm0hKxTPNxliN9y83\nr/y9r9vIqpZVWECl6d/IKoqSY2I1ZaY3NUGmNz1+Rm9Wpnc+SpvHyDg4y3I1Gis+hcbyT6Cs6rj5\n+3mChQVLwdP7P3AN/h0k4/qtyj6Eav8LSdcqk4M7chSWwPNtd6AnYoxFOTb4Aawu/7DpgtfT2Q1H\n2MhmjdRUIeEt7hJygWA2EEpBP/wfIB+/1KiK6u3UhG/bAXODA+CxSTij0fhsZm/42x0Ubq8mLy2S\nH6G4BCckRIkheiXFnLFFQvQKBOPgbQfA7roeiGU+oE436NduAqlbZG5ggoLmqQNhJFXtJrnBa8Oq\ncvOyE31dWaXN1TPL8vb29oJlHMr9fj/s9knGLXEFUsoQyKq1Qn88PtMrzfe4ogwkM6tXYsbPS5vY\nQyQoHmh6CP6OB2DPEoQp+yIM1V4OxVb8FT5pNY5/tt6Ovujb+trKsg9ildmCF4Crrx+ugawy8rJS\nMZpIcNRDzzoP9LJrADmzURwOgd3+TfBd2yY/MQ+8P6t966W2UQzGDCE7NiLRavFBZQQ8aUUUxtgi\nkekVCAoA3rIP7M7rDMFb4gL92o0g9U3mBiYoaFTG8USWgdV5K/ym3USm0xyDA8YFZaYmVjMrbe4z\nxrfIAXBqjO+atKc3D5neVKwTm9UQ/q6GgNL5+3GChYE1theB9h/AkjV+K+Y9BcM1nwWXi9+lP6VG\n8WzrbRiI7dXX1pR/FKvKLzJd8DqGQvB0G5UhcZ8XI9XFv8kgEMwF5IQNoF+7EShxaguJONh9N5o+\ny7cpYMexZdp8YZUDf9tnjC8qzYheSiywWT1IxKyIkOzy5hTMQIhegSAD3/822N3XGyXNJU7Npblh\nsbmBCQqeVzsi6Iloos5ppTiz0bySvIHeNHhmgoDHJ8HumNnX/MxMrLLn8xrHKiyBhKJdAAkklFhK\nczK9ynxmejMmc1IyhIM8iXaeRFJmU5wlOGrhHCVDz8Lb9QtQNtZLKmGk7CJEyi4ASPE7BieUMJ45\neDOG4kZZ5HEVF+OYsvNNjErDNjIKX1uH/jzpciJUXytGEwkEWZBlK0GvvhXwZXZw1cws382bTI3r\nvKw2rr/vH9bHF42JXgCQqR/DUStSMGb18qSR9c0nQvQKBAD4nrfA7vk2EM98KJ1u0Cu+C9IgXF8F\nk8M5x+O7jLK8c5f6TRtTBAB93dlZ3pmVNnPOc0TvVJleKSsrlmtiZZQ8O62loESCnOdMr0M1RiQk\n0qK8WXAohCXg6XkMrqGs/l3Jg1DN55HwnmRydHPDaKIfT7d8F8OJNn3t+KpLsDx4rolRaViiMfgP\ntmJM3qbtdgwtagAmGZEmEBytkJqGQ2f5/uZnYI8/kuOenE9OrssdX/Ri2ygAwGql8Pq1DUOrHMBQ\nTAIjhuhFKnbIe+UD8c0iOOrhO98Au+87xlgitxf0qu+JDK9gWrzVF8O+Qe1vx0JJzs5nvuGc55hY\nVcywtHlkZATxuJbtslqtCAQCkx4vpw6f6c2e0euyVACMgaa1uDgyI4vmi4x7sz1L9MYVkekV5CIl\ne+Fv/xHs0Z36WsreiFDdF6E4GkyMbO6IpHrxh21XYTTzOSUgWF9zKZYGNpocGSAnEtosXqbdrCsW\nCwabxCxegWAySKAM9JpbgSXH6Gv8b4+DP3wvuJL/PlmZEpyzzKc//3OWoZXe1ytrDs6cGg7PY/cD\n+UaIXsFRDd/6Itj9NwFjpZdevyZ4axtNjUtQPPxh15D++N1NXvgdM8uuziUjwyoSce0m0mIl8JXO\n7AZyfGnzVL1+OeXNk4wrktKKns1hFnl+MzkeHyDJcCia6KUEUJjI9AoMbKPbEOj4IeS0UZEQ827A\ncM3nwGS3iZHNHcOJNjzVchNGk9pnkRIJp9Z+EYt8p5scGSClUig90AKamdWpShKGFjeCzWcFiECw\nQCBON+hXbwTWrtfX+MtPg/3oZvBkcpIz54ezl/ggU+0Kv28wgb2Z8UWlFYboHYpJkIgRm2zSRrRp\nore3txebNm3C9u3bsWnTJkSjU9d333TTTXmITHC0wF54EuzB2wE1szsWCIJedTNIdb25gQmKhoOh\nBLZ2ad9dBMCFx0yeGZ1verNLmytlUDqzvriZlDYTNQpJ1UqZOLFAtRhuUYeaWOVpRi+0UQ/wBXB2\n9yv4n+e+iacvqsV/HC/m9AoAcAWu/j/C2/sbEJ6pPCAWhCs+ikjZ+QuifxcABmJ78XTL95BQtBFq\nErHgHXVfQ513/RRnzj9UUVB6oAVSxr2VUYqhxY1QJnOJFwgEORCbDfS/vgHyjvcYizteA7v7evBo\nZOIT5wGfXcbpDcZm4V/3adne0qAMQgCJlmA47oCFJPRjLKo5Pfumid677roLF1xwAdasWYONGzfi\nwQcfnPDY7du3Y/PmzdixY8eExwgEM4E9uQn8kfuhO/5U1IBefRtIZY25gQmKiuws7yl1blR75lfQ\nTUV3u1EyNFPXZiDXuXlGJlbWcoAYl5PoJOOKlPksbR4jEISVKbAxBWywf+rjBQsemg7B3/EgSsIv\n62uKpRRDtV9A0r3OxMjmlu7R7Xj24G1IM61nziqV4IyGq1HlXmtyZABRVQQOtEBOat8HnBAMLWpA\nusS88W4CQbFCJAnk374I8r6PGIsHdoPd/g3w0ODEJ84D78saX/T8wVGMJFXIFgJfQAIhBIQGwNMq\nVGjVHVYuA5lKj3xiiuhtbm6Gy2WMAHA6nZMK2jFh7HQ68xGeYAHDOdea/n/7M2OxbhHo1beAlJaZ\nF5ig6OiLpPFc64j+/KJjzc3yRiMqRoa1iwilQEX1zMRlOp3GwMCA/nxK0TuBiRUARNJGT6/TWj7O\nxGr+NwbGZvUCABvoneRIwdGANbobgfb7YUkaLsEJ50qE6r4I1Tb533kx0Rp+Gc+33QWVa6LSJnlw\n4drbUO5cYXJkAFEZAs0HYY1r2R4OINRQh5S7+MdBCQRmQQgB/eCnQT72OWOxsxXstmvAezrzFsey\noANLAlq1RppxbD6gTW8IZpU4KwkrYlmzepHM/9giU5rP+vr6DhGwLpcLvb29qKiomPX7bt68GZs3\nbwYA3HrrrQgGj3ywuSzLc/I+C51i+D1xRcHID29B4tm/6muWFWvgu+52UGd++riK4fdkNsXyO3p0\n5wGMtYquq/Viw4q6yU+YY8b/nrraDAOJmvoSVFXPbBOnpaVFd4AsLy9HTc3kVQ8kbMzkswWWwJaJ\nRWVpxNLGLnND1TGwh1v0546AXz92vhitrUfsVe0xHxooir8nwTzAVTgHn4Rz2JhnyUERKT0Hcd87\nFtRYnD2Df8O2nsf05yWWIN7ZcA3K3EswkByY5Mw8wBgCLa2wRQ3H1uG6GiR8XhODEggWDnTjB8Bc\nHvBf3KtlUAf7wL7/36Bf+U7eTFnPXebD/Vu0zfC/7RvGhccEECyXsW9XElbZh0TMhogtAjfXRjqS\nVP77j00RvZHI4evNp9PXOxkbN27Exo2GK2F21mK2BIPBOXmfhU7FN5TWAAAgAElEQVSh/554Ig72\n4G3AW68bi2vXQ/381zEUTwLx/Hz4Cv33VAgUw+9oKK5g0w4j03n+EnfeYx7/e9q/e1R/XFo+8++/\n3bt364/LysqmPN8/chBjueRw2o105vjhRDsY1zLOJZZShEMRyKOjGOuWDKdSSM7z74rZjU3VdF/3\nnPy/qa6uPuL3EOQPmh6Gp/d/YU206muq7EW44hMLxp0Z0KqXtvf+BrsH/6KveWw1OLPhapRYzK0+\nAQBwDn9rO2xZ933h6irESwsgNoFgAUFPeSe40w3241uBVBIYDYPd8U3QL14PsnzVvP/80xs8ePj1\nPkRSDL2RNN7oiuK4Cico1TK9IxEbYn5D56nxKGCxzXtc2ZhS3uxyuQ4RuBMJYYHgSOHDQ2B3XJsj\neMnpZ2smALb8fuAEC4Pf7xxEStWyoosDNhxfbW7rRSyiIhzShCahQGXNzPczOzuNUqipTKzAGeSs\nsUSKzajQCSfa9cc+u2YKl2tkNf89vSRgZHZFefPRhzX6NgLt9+UI3mTJUgzVfWlBCV7GFbza9ZMc\nwRssWYZ3N15XUILXETbaQEYqyxEtF5UXAsF8QFafAPq1G4GSzD1JIg52z7fBt22Z959tkyk2LjbG\nFz2xNwRJJvAHZVhlH0JRGSliaL9ULHS4t5lXTBG95eWHd9JsamrKcySChQ7vbAW75etA6359jZz/\ncZBPXw4i5gEKZsFgLI2/7TNKez++OjjlaJ/5prvD6Jktq5Bhsc7sq11RFHR1denPa2trJz1eSg/p\n7req5AaXjL684WSW6LXVAZxDyurpVfLQ0zs2qxcA1IG+SQ4ULCi4AtfAX+Dr/iUo08ZmcBBEAmcj\nXPXv4NLC8QVJq3E833oXDg6/oK9Vu9fhzIarYZMLoE+Wc/jaOuAYDutLkbIgIhXCSV0gmE/IkmNA\nv34L4M1sfClpsAduBXvp6Xn/2ecsNUTv1q4oeiMpBMtlUGrFcNwNhRizetX4yOHeYl4xRfQ2NTXl\nZHZ7e3uxevXqnOdHWuosEPBdb4Dddg0wlHFvpRTk018A/cDFposUQfHy+K4hpDPNvEsCdpxUY/4N\nZleWa3NV7excm5XMYHuv1wuPxzPp8dkmVqo114chnGjTH3vt9aDptD6jV5XneUbvGDmZ3j69V1mw\ncJFSA/B3/BglWSJQlTwYrvk8YoF35biLFzvxdAhPH/wueqKGAegi35k4re4rkGkBVC9xDm97J0pC\nxuZgJFiKkerKBdVHLRAUKqS2EfSaW4GyjFEfY+AP3wP21J/m9edWua04vkrbXOTQentLy7XKs0gq\nCGSJXp6IHe4t5hXTrgKXXXaZPqd3y5YtuOyyy/TXHnvsMbz8sjFWoLm5WZ/l++ijj2L79u1mhCwo\nIthzfwO770YgnvlQ2R2gX/oW6BnnmBuYoKgZjKXxj6ws7yfWmJ/ljUUZhocypc0EqKyZuehtazOE\nan391HOq5aSRFVZsuaXQwznlzXXjnJvzMK4IAJxuIJNR5okYEBebqAsZ+8jr8LffD0vSKNFPlizH\nUP2XkXYsMjGyuSec6MTmlhswnLW5tLLsgzip+rOghTBnmHN4O7rgHDJKF6OlAYzUVAnBKxDkEVJW\nCXrNbUBto77G//enYH/8n3ndCD53mZHtffJAGE4fAZUAQoNQmDGrlyQShzt9XjHFyArQsr1j5cxr\n1qzJee2KK6447LEXXHBB3uITFCdcVcF/8xD4M0aPE/xB0C9fD1K7sG5+BPnn8Z2DepZ3aakdJ5jc\nywsA3R1Gv2ywQobVNvO9zPZ2Q6jW1U3tQm3JuuFO24xS6KQyirii3exKxAKXtQJyxChvzEtpM7Qx\nDvCXAb0ZETQ0AJSYn5EXzC1ETcA9sAn20W36GoeESPAcxL2nLTiR1RvZiRfb79Nn8BJQnFj9GTT5\nzzQ5sgxjgnfQmF8eC/gRrq1ecP8vBIJigHj9oF+/WUsCHdDMKvmf/geIRYCPfhZkHiqvTqh2odwp\noy+qYDSp4pWOCAKlMkYiPqSUtJ5ulZX8V2AtnHofwVEPj0bA7v1OruCtXwz6zduF4BUcMQOxNP6+\n3xBwnyiAXl4A6M4qba6um3kmNZFIoK9P63slhEzZzwuuQs7K5qbtRmY4nDUH1WOrBSUS5Lixm6vY\n7TOOb9ZklTgjVNhu4IJZMLofgfb7cgSvYilFqPa/Ftw4IgBoDv0T/2y9XRe8MrXj9PorC1vw+r0Y\nrqtZcP8vBIJigpS4NHOrVcfra/ypP4E/cj+4qs75z5MowdlLjGzvWImz1eJHNKHo61Y1/3lXIXoF\nCwLe1QZ281XA22/qa+SE00CvvhXEV2piZIKFwm92DEDJZHmXldpNd2wGgHiMITRolDZXzKK0uaOj\nI2c+r30KYSqnekG5ll1WJQ+Yxbi4ZZdc+uxaxtiSMMaBKfb89RtmOzjzISF6FwxcRcnQZpCdt0NS\njBLauPt4hOq+BMU++XzpYoNzhu29v8O/uh4Ch/ZZd8h+vLvxWlS510xxdp6YSPDW1wnBKxAUAMRm\nB738WpAT36Gv8ZeeAvvJ7eDp9CRnzo6Ni32QMh/9Xf1xKA4Gi+RFOMLBwAAANm4HGJvznz0ZppU3\nCwRzBd/6ItjD9wLJrF6BD1wMct7HCiITJyh+2oaT2HzAyPJevLasIP62OlqN0ubSchm2fJc2jxv/\nkt3P682IXjmrbyftyGOm119mPB4zsxMUN5zD2/1L2GJ79SVG7Rgt+yCShSIA5xCFpfBq50/QPvKK\nvuaz1+P0+isLYyQRIASvQFAkENkCfP5KwO4Af+FJbfH1l8B+EAf9wjdAbHN3ffY7ZJxc58ZLbaMA\ngBcHRlEt2RCL+hFHDE5o7UY0nQbL4+hQkekVFC2cqWCPPwL249sMwWu1gf7nNaDnf7wgRIlgYfDL\nbX3IJHlxXGUJ1lWZn+XlnKO9xRC9tY2z65edsYlVtui15x4fHjeuiCgKpIwrNCcEap56egGMK28e\nzN/PFcwfhCDpWqs/TdkbMVT3lQUpeOPpEJ45+L0cwVvlWls4M3gBfSyRELwCQXFAqATyb18E2Zjl\nkbTrDbB7vgMem1vDx+zxRc8cDMMbkBCNVyAKY3oPS47O6c+cCpHpFRQlfGQY7KE7c8qZUVaplW/U\nNEx8okAwQ3b0RvGvTu1iQABcsq4w5kz29yYQHdVKg2R5dqOKRkZGEA6HM+8ho7KycspzLBOIXsYZ\nwgmjp9drr8spbU7bbXm9ESZr14NcdxdKFy/DYHru+5YE5pBwr4Mlvh82XwOGrSctqFFEYwzFD+KF\ntrt0UzgAWBLYiHWVnyoMh2ZAE7yt7SjJmsMb8/swXF8rBK9AUMAQQoCPfgZwlGimVgCwfxfYXdeD\nfvU7IK7JRxZOl9UVJahyW9A9mkY0zTBqURFNVyBJRrV5RgCURAiyJzj5G80hC+9qIVjw8L07wW78\naq7gXX0i6LV3CcErmFMY53j4daM09p2LPGgK5LFEdxL2vW3skFbXWSHLM7/RzM7y1tTUQJYn3wcl\nSgRyWsuackhQbNX6a9FUL9RMr69d9sEue3JKm/NqYgWAeHwgDUtAfQFR9bGQIASj5R8Bat6/IAVv\ne/hVPN1yky54CSiOr7oEJ1RdUjiClzH4D7blCN5owC8Er0BQJBBCQD/wCZCPfMZYbN0Pdse14OHQ\nxCfOAEoI3ptlaPX6SAQg5UjDmM/LE/mtwlp4VwzBgoUzBvbXx8HuvBYIZ8qpCAE572OgX7wOxClG\nkgjmlucPjuDAkCbcrBLBJ9eWTXFGflAUjpZ9huitWzS7suEZ9/Mms7O8tQAxRPL4+bwAYDFR9AoW\nMAtQWHHOsKPvcbzUcb++eWShJTij4SosDWw0OToDwhgCLa1whEf0tWgwgLBwaRYIig569oUgn/6C\n8dntbAX7/n+DD86ND8ZZTV7IVHvvreEIrBYfkjzLfycZmejUeUGIXkFRwEdCYPffCP77Rwy3N5cb\n9MvfAr3gk/Mya0xwdJNSGR5903D9PX+5H2XOmZcQzwc9HWmk01p9kNNF4Q/OPAPEOZ+56I0bolcZ\n1887PK6fFwDk+LjyZoFAcAhpNY4X2+/Frv7/09dc1gpsbPo2Kl2rTYwsF6KqCBxogX3UuFGNlAUR\nrhFzeAWCYoWecQ7IZ68Axu6j+7o14dvXfcTv7bHL2FDvBgCoABS7AwklM/0BKpT03PYRT4Xo6RUU\nPHznG2A/vxsYGTYWF68AvfTrIIHCyLwJFh7/t2sIfVHNyt9tk/ChlYUz+qr9oGFgVbfIOqvy3f7+\nfiQymViHw4FgcOq+mon6eQEgnPWa114PcG5qebNAUAyMJnvxQvvdGEl26muVztU4te5yWCXzDfPG\noIqCwIEWWLPmbo9WlGO0slwIXoGgyKEnnwlus4E9+H1AUYChfrDvfwP0ihtBqqc2uJyMc5b68NxB\nrTJkfyqBhmgvdgcfgBUpBKWlWIoLpniHuUOkxwQFC0+nwX73MNg9384RvOS9HwS96mYheAXzRm8k\nhd/tNHpNPrE6CKe1MPrpYlGGgd7MgHcye9fmgwcP6o/r6uqmFs5chSVpGFWNF73jy5upokDKDL5n\nlEK1FkaWXCAoFLpGt+HJ5m/lCN5lpefi9IYrC0vwplIo3decI3jD1ZUYraoQglcgWCCQ404Bvfw6\nwJK5pwgPgd3+TfC25iN632PLHKj1aO/ZoSbBhhtxDvdjbbQa/lTjEUY9M4ToFRQkvKMF7OYrwf/x\nB2PR4wP96g2gH/4PkCkMdwSCI+FnW/uQUrXy4Sa/Lcd632w6srK8ZRUyHCWz+xrfv3+//ripqWnK\n4+VkDwjXMt+q7AOTDYfHtBpHNK31ABFIcFurIWc5Nyt5dm4WCAoZzhl29v8fnm+7C2mmmbpQYsH6\nmkuxrvLiwjGsgjZnu2xfMyxJ7fPMAQzX1SBaLjadBYKFBll1POhXvgPYHNpCZATszmvBW/ZOet6k\n70kI3rPECwDo5WnsH1qK256uwENbgvhXR37vrYToFRQUnKlgf3sc7HtXAh0HjRdWnwj67ftAVq4z\nLTbB0cFrnRG80mH0rF12UiUkWhiCbfxs3tkaWA0PD2NgQOtXppSisbFxynMsiVb98WTzeT22akhU\nFiZWAsFhSKkxvNh+L97qexxjcztKLKU4a9F1WOQ73dzgxmGJxhDc1wwprW12cUIQaqhDrLRA5gQL\nBII5hyxfBfq1G4CSTLVJLAp21/Xg+3fN+j3ftcgLmQJpcMQtQfica1HufSeWLT5pjqKeHkL0CgoG\n3tsFdvu14I8/ovUUAIDFCvLxS0G/dD2Ip3CybYKFSUpl+OlrvfrzjYu9WFHmMDGiXPq6FcSimpGb\n1UZRWTO7kuHmZqNcqb6+Hlbr1OJ5sn7ewzk3y+Nn9AoERznDiTY82fwtdI6+rq+VlxyD9zTdgIBj\n6mqLfGIbGUXpgWbQrBaFwaZGJPziOiwQLHTI4hWgV34XcGkmVEjEwe75DvieHbN6P69dxsm12nv1\nSSXwu9bCaa9HIprf+yshegWmw5kK9o8/gN3wZSB7J6lhCej194CedZ6YsynIC7/fOYSeiJbVcFkp\n/u24wirha95rCMllx3ggSbP7XGSXNi9ZsmRa50xX9Hp10SsyvQLBGAeHX8Dm5hsQSRmbastKz8GZ\njdfALntNjOxQHINDCDQfBGVaJlqVJQwuWYSUW4wFFAiOFkj9YtCrbgbcme+nZALs3hvAd74xq/c7\nOzOztzszks3ukEDz3MkhRK/AVHhnG9it14D/7mEgnSnbpBTk/I+D/vf3QapqzQ1QcNTQHk7mmFd9\nam0ZvPbC6R0fGVZzDKyOWT27G+VIJIKenh7tbQjBokWLpjyHKqOQFG1gPScyFFtVzuuhRIv+2Ger\nAziHJcv0Ji1Er+AoRWUpvNb1MF7pfFCfvytTG06t/SLWVX6yoPp3wTlcPb3wt3dibDtNsVgwsGQx\n0iUlpoYmEAjyD6lpAP36LYAv09KQToH94LvgO16b8XutqSxBhcuCbp7C75R++E8twTFrRKZXcBTA\nU0mwPzwKdtNXgewG+bpFoNfeCfqBi4VZlSBvqIzj/i3dUDKZjSUBu74rWSi07DOyvFU1Frg8sytt\nPnDggP64trYWDsfUFx1L3MgMp211ADE+m2k1gVDc6PcNOBaDphXQzDxtRimYRXyWBUcfo8lebG65\nEQdCT+trbms13tN0A+q9J5sY2WHgHN72Tnh6+vSltMOOgWWLoYr2BIHgqIVU1WrCd2xiipIG++HN\n4Nu2zOh9KCF4z2IvFHCEoeLPO3unPmmOEaJXkHf4rm1g3/kS+BO/BdRM5kqSQS74JOg37wSpX2xu\ngIKjjj/tGcKeAS0zKVPgS6cUjnkVAKSSDB2thoHVomWzvwnNFr2LF0/vs2aL7jFiKVma89pgfD84\ntL4/r60ONtmVa2LlsAvnZsFRR3v4Ffyj+ToMZxnA1XlOxnuavgOPrcbEyA6FqCoCzQfhHArpawm3\nCwNLmsAsYtSYQHC0Q8qrQL9+M1Bari2oCtiPbwPf+tKM3uesxT6M3Vq90TmCzpHU5CfMMUL0CvIG\nHxoA+8ntYHd/C+jvMV5YvELr3T3vYyK7K8g7nSMpPPbmgP78I6uCaPQXVjlu64EUmKYr4fFJCARn\nVxIZj8fR2WnMBJ2W6OUM1tg+/WnKuTzn5YGYIYjLSpYByO3nFSZWgqMJJVPO/FLHD6Aw7XNAiYwT\nqi7BqbWXwyIVjjEeAEipFIL7mmEfNRzrY34fhpoawaUCKr0WCASmQoIVoFffApRVaguqCvaT74P9\n6/lpv0fAIeOkGsMb4Mn9w3Md5qQIhSGYd3g6Db55E/iffwOkjBJNlDhBPnQJyDvOBqFi/0WQfxjn\n+MGWbn0m7yK/DR9eWWpyVLkwxnFwv/G5aVpmm7WxW3NzMzjX/q1VVVVwOp1TniMnO0Azs0RVyQ3F\nmtvP25+VBS5zrtDOyZnRW1gbCALBfDGS7MRL7T/MGeHltJRjQ92XEHA0mhfYBFhiMQSaWyGNTUsA\nMFpRjtHKclGdIRAIDoEEykC/fgvYXdcBPZ0AY+A/vROMMdCTz5zWe5y9xIdXOiIgAEIJZcrj5xIh\negXzBuccePNVsN89DPR15bxG1p8J8tHPgHj9JkUnEAB/3hPCrv44AEAiwJdPqYJcQGXNANDdkUYi\nrglVm52gun725YazK202eu5TJctyboZVlsZgVr9vWYmWBbYkhImV4OiBc46W4efwevcvdbMqAKj1\nnISTqj8Hq1R4JlD24TB8re2gmU0wTgiG62oQD4hrskAgmBjiLwW96mawO68DutsBzsB/djcYZ6Cn\nvGvK89dVOfHp48pw4boGyKnIlMfPJUL0CuYF3nYA7Lc/B8bP9KppAP3EZSDLV5kTmECQoSWUwCNv\n9OvPP7SyFE2BwhJonHMc2G1kTRsWW2c9piiRSKCtzRg7NF3Ra41l9/Muy3ktlGiBysdGPJXDYfED\nnI/L9Iry5mKit7cXW7ZswaJFi9DS0oKNGzdOWRFw00034frrr89ThIVFSo3ita6fo33kVX1NIhas\nq/wUmvzvKrxxe5zD1duXY1jFJAlDi+qRcomRRAKBYGqI1w961fc04dvVpgnfn9+jZXw3nDXpuRIl\n+PDKUgQ9dgwMCNErKGL4YB/4pl+Db3kGyOwgAwAcTpALLgZ55/tARJ+QwGQSCsMdL3Tpbs2L/DZ8\ndFVhlTUDQG+XgnBIa+alEtC4ZPYCcs+ePWAZR+Xy8nJ4vVOPPCJqBHJS6wHmIIeYWGWXNgczWV45\nkdSdm1VZBhN9+kXFXXfdhdtuuw2AtjHy4IMP4oorrjjssdu3b0dfXx927Nhx2NcXOn3Rt/FK54OI\npY1RZx5bDU6tvRy+zLzqgoIx+No6UDIc1pcUqxWDTY3CoVkgEMwI4vEZwrezFeAc/Bf3gXEOetpG\ns8M7LOJuRDAnsHAI7DcPgT/7BJDVHwRKQc48F+T8T4C4PeYFKBBk8dBrvejIuAbaJIKr3lENi1RY\nfeWcc+x5yygTblxsg80+uxg559i5c6f+/Nhjj53WedbYPhBoGwNpez34OBOe/hwTK62f1xqN6msp\nZ4noDSwimpub4crK9jmdzkkF7Zo1awAAjz322LzHVkioTMHO/t/j7YE/AzA2dxf7343jKi+GTAtP\nQNJUGoGWVljjcX0t6XJiqLEeXGxMCQSCWUDcXtArvwd29/VAe4smfB+5XxO+73iP2eEdgvimExwR\nPBoB37wJA0/9CTwey31x9YmgH/kMSFWtOcEJBIfhxdYRPHnAyHRcelIFaj2Fd5Pa05nGyLCR5V1y\nzOxj7Ovrw8CA5lAtyzKWL18+xRkauf28uecwzjAQM14f6+e1RbJEr2tqoyxB4dDX13dIKbPL5UJv\nby8qKipm/b6bN2/G5s2bAQC33norgsHgEcUJaH/Hc/E+M2Uo2oqndt+OgYjRH2+T3Xj38q+iKbgh\n7/FMhSzLKJNlyLt2g6TS+rpaWw2ybClKhYkkAPP+nooJ8TuaHkfd7ykYBPvujxC64StQmvdqwveX\nP4DT5YZj43kTnmbG70mIXsGs4LEI+JN/BH/qj8B4sdu0HPSiS0TfrqDg6I2k8MNXjHFZpze4cVbT\n1GW++YZzjr07s7K8S2af5QWQk+VdunQpbLZpCOjxo4rG9fOGE+1IMy1rZJd9cFnLAc7HZXqF6C0m\nIpHD91dFs/6fzoaNGzdi40aj3G1sA+ZICAaDc/I+04Vzhn1DT+LN3t+AcUM8VjhXYn3NpShBIK/x\nTJfyRBLy7r0Yq7fgAMK11YgFS4GhITNDKyjy/fdUjIjf0fQ4Wn9P/MvfBu66HmhrBjjHyA9vxujo\nCOjpZx/2+Ln6PVVXV0/7WCF6BTOCjwyDP/Un8GeeAOLjboSq6kAv+jSw9uTCM+8QHPUkFYZbnutE\nNJ3pa3Va8F/rKwvyb1XL8mpxUglYsmL2Wd5UKoU9e4wy5JUrV07rPDnZCcq0z7gquaDYxo0qiu3W\nH5eVLAchBFIyBSmttTcwSpF2FJYxmGByXC7XIQJ3IiF8NBFN9ePVrp+iL/q2vkaJBWsqPoplgbNB\nSAFmSxmDt6ML8lBIX1JlCaFGYVglEAjmHuJ0g15xE9iY8AXAf/VDMEIKptRZiF7BtOCDfeB//wP4\nC08C6VTui5U18Hzi84isWAtChUmVoPDgnOMHW3rQEtJchWUKXPWOajithff3yjnH3qxe3kVHmOXd\nv38/0mktM+X3+1FVVTXFGRqHuDaPu7HP7efVSptFP29xU15eftj1pqamPEdSGHDO0Rx6Ftt6fw2F\nGZ9Jn70Bp9T8J7z2wmzdkVIp+Fvacvp3Uw47QosaoFqtJkYmEAgWMobw/RbQdkAvdWaEgp42uatz\nPhCiVzApvHkP+OY/gm99Ecg4supU1ICc91GQ9WfAUV6B6FFYziEoDjbtHsJzrSP680tPrMTyoGOS\nM8yjuz2NkbD2WZMkYPERZHmB3NLmlStXTjuzfch83iw45znOzWXOjOgV/bxFTVNTU05mt7e3F6tX\nr8557nK5phxhtBCIpQfxr66foyeyXV8jIFgRPA8ryy6CRAvz9sk2Mgp/azuoquprMb8Pw3U1gOjf\nFQgE84wmfG80Mr6cgz9yn5bx3fBuU2MrzG9tgalwRQF/Y4vWr3tg96EH1DeBnvth4PhTRWZXUPBs\n647mzON97xIf3rvUZ2JEE6MoHLveNLIzjUuPLMs7ODiI7u5uAAClFCtWrJjWeTQ9BEuyHQDAQQ8Z\nVTSa6kFS1TYRLLQEXpuW8bKJft6i57LLLsOmTZv0Ob2XXXaZ/tpjjz2GNWvW6P25zc3N2LFjB6LR\nKB599FGsWbNGd3QuVibK7rqtVTi55lKUliwxMbpJ4Bzunj64evty+nfV5UsxbLeJqguBQJA39Izv\nndcZrs6/uFcTvqe+y7S4hOgV6PDQIPhzfwd//u9AOHToActXg57zIWDluoLsgxQIxtMxksQdL3Qi\nM44Xy4MOfP7Ew5dwFgIHdicRj2nBWm3kiBybAWDXrl3640WLFqGkpGRa59lH39Afp0qWgku55/Vn\n9TaWOZeDEAqaTkNOaq0PnBCkSgozky6YnKamJr2cebyAHT+vd+zYCy64IG/xzSfRVD/+1fUz9EZ3\nZq0SLCt9L1aXfwQyLczSYJpOw9/anuOcrlpkDDXWw1tXC4gqLIFAkGcM4Xs90JERvg/fC0Yp6Mln\nmhKTEL1HOVxVgR2vgb3wJLDjtUNLmCUZZP3pIBsvAKk/Ovu6BMVJKK7ghqc7MJrS/qb9Dhn/fUZN\nwc3jHSMWZdi/28gsrVhth9U6+1iTyWROafOqVdN0U+cc9tHX9acJ9/GHHNI5ulV/XF5yDADAGjVc\n3FMlDlFKKSgaGGfYN/QP7Oj9HVRueFa4rZU4qfpzevl+IWKNROA/2A5JUfS1pMuJUEMdmMViYmQC\ngeBoh7g8mR7f64COgwBn4D+7G4xS4NwP5j0eIXqPUnhnG/iWZ8BffvrwWV1vAOSMs0HOeC+IrzT/\nAQoER0A8zXDTsx3oi2oGTjaJ4NozaxBwFO5X3q4342CZNjyPT0L9oiPLKm3fvh2plHYD7/f7UVdX\nN63z5EQb5LQ2yoRRO5LOY3JeT6nRnExYredEAKKfV1CcDCfa8K+un2Eo3qyvERAsKz0Xq8o/VLDZ\nXXAOV28f3D255cyRinKMVpaLcmaBQFAQEHdG+N5xLdDVpgnfh+5EwucDlq6e+g3mkMK9AxTMOXx4\nEPzV58G3PKPV2B+OZatA3/U+4LhTQGTx5yEoPhTGcfsLnTgwpGVNKQGuPr0GS0sLt9x2oC+N7nZj\n9ueq4x0gdPY3rel0Gtu2bdOfn3DCCaDTzLw6srK8SddqgOZmi7pG3wDjmjr32xfBaS0DMN65WYhe\nQWGjsBR29W/C7oG/gMMwffLaanFS9WcLt3cXAE1lypmzPkTH224AACAASURBVHOqLGG4vg5Jj9vE\nyAQCgeBQiNsLeuVNYHdcB3S3A4whfOe3QC+7BmTdKXmLQ6iaBQ4fHgTf+jL4ay8AB94GOD/0IK8f\nZMO7QU57D0jF9Ic8CwSFBuMcP3ylB1u7jJvB/1pfiRNrCncuJWMcb71umFfV1FtQWnZkX807d+5E\nPDOuxO12Y/nyaZZnsjRsWW61hyttbh/5l/64znMSAICoKixxbZOBIzOuSCAoULoj27G16xFE0336\nGiUyji27ACtKzytYZ2YAsIVH4G/ryHFnTjoz5cxWUc4sEAgKE+Lxg175XbA7vgn0dAKqCvaHX4Gu\nOQlEyo8pbuF+swtmBecc6G4Hf/NV8G2vAC17Dy90ZQvI2vUgp74LWHVC3v7gBIL5gnOOH7/ai6eb\nw/raR1eV4uwlhenUPMb+t5MYzRpRdMzaI8tIq6qK1183srXHH388pGl+vm2xPaAZx1pV9iNtb8h5\nPa3G0RPZoT+vzYheazSml1imHXZw8X0iKEDi6WFs63kMbSNbctaDJctwUvVn4bEV7qYvURk8Xd1w\nDg7paxzAaGU5IhWinFkgEBQ+xJsRvrdfC0mSwL92Y171hxC9CwCeTAB7doC/9Tr4W1uB/p7DH0go\nsHwVyMlnghy/AaRElCAKFgacc/zktV78ff+wvrZxsRcXrwmaGNXUhEMK9u40zKuWrbLDUXJkBlC7\nd+/WZ606HA6sXLly2uceYmA17ka6O7INjGtl2F5bHdy2SgDj+nlFabOgwGBcxf6hzdjR9/9yxhBZ\naAnWVn4CTb4zQEjhGq9ZYnH4WtthSSb1NdViQaihTvTPCwSCooL4SkGv/C78wVKEWH4364ToLUK4\nogAH94Hv3g6+ZwewfxeQ5dyYA6XA8tUgJ5wGsu4UEE9hZ70EgpnCOcfPXu/DE3sNwfvORR58YX1l\nQY/WUlWON16J6YUY/lIJi5cd2Ygixhi2bjWcldetWwd5mr35RI3AGt2jP0941h1yTG5p83r9sW00\noj8WN+GCQmIgthdbux/BcKItZ73BuwHHVV4Mu+w1KbJpwDlcff1wd/ci+5ss7vVguK4GXPhuCASC\nIoQEgpACwbyPUxPfmEUAj8eA5j3gB94G3/820LwHSCYmPsHmAFatA1l7MsjqE0BcnvwFKxDkEcY5\nHtrah7/sMRzIz2jw4MunVEE6AiOofLD3rUROWfO6k0uOyLwKAPbt24fhYU3822w2rF49fWdE++ib\nINDiSdkboFpyXdsVlkD36Jv68zqvVtosJZOwZvqHOSFIugq3f1pw9BBPD+PN3v9Fa/jFnHW3tQon\nVF2CCtf0KyDMQEok4W9rhzVm9PszShGuqUY84BPlzAKBQDBDhOgtMHgiBnS2gbfu17K5B/cDPR2H\n78vNpqYBZOXxICvXAUuPBbEU6JgFgWCOUBjHvS9347mDI/raqXVufHVD4QveoQEF+/cYpYrHrHXA\n6T6yvpZ0Oo2XXnpJf7527VrYbNPMHHMVjrBxbsJ9aJa3O7JDn2HqsdXAY6sBADhC4azzXOCy6OcV\nmIfKFOwb+jt29v9fTimzRKxYWXYhlpWeW9BGVeAczoFBuLt6QLOu+6kSB0INdVCn+5kWCAQCQQ4F\n/M2/sOGJGNDTCd7TCfR0gHe2AZ0HJ+7HHU9pOciK1cDyNSDLV4MECrt3USCYS5IKw23Pd+a4NJ9W\n78YVp1UXvOBNJRne2BLTXGgABCtkNC458k2qrVu3YnR0FIDWy7tu3aHCdSJskR1Zs3kdSLqPO+SY\njvCr+uMxAysAcAwbZeUJv2ifEJgD5xzdkW3Y1vNrjKZyr6O1npNwXMXFcFoL+zopJZPwtXXmjCLi\nhGhmVeVlIrsrEAgER4AQvfMAV9JAZAQIh4DQAHhoCAgNAIN94P09wEAvMBqe+o3GIBSobQBZcgyw\n+BiQJceClJbN3z9AIChgRhIKvvfPTuweMMr+zlnqw6UnVhS84OWMY+vLMcSiWhmxbAHWnlRyxL3H\n4XA4p5d3w4YNM8jyMjhDz+pPY74N4DT3XJWl0BUx5v6OjSqS4wlYElrGmhGChJgRKjCBcKIDb/Q8\nht7oWznrHls11lV+GpWuVSZFNk3GsrvdPaDMyO6m7TaE6uuglBTujHGBQCAoFoTonQDecRB8z1uI\nljjARkcAxrT/lDSQSgHpFJBKAvEYeDwKxGNANAJEwkAsOvUPmAhJAiprQWobgcalII1LgLrFIKKk\nSSD4/+3dfWwb550n8O8MOSTF4YteKFKy5Tc5iRO/yEkTN4qbJtuu3O5us3CKbYtevb1t7g4xFpc/\n9nxAEeD+Kdr+EQPb9BbF4ZAuDsHdJfvSvQvittdtV0Q3TTaRsm3iWEpTO46o+FWi3ihRHL7OzHN/\nkKJIU5JFixLF4fcDCOTMPBwPH8/DZ37zPPM8uDKfwXdfu44pLVdc95XDHfhaX2BbD1q15OJoGjPR\n5UHnHnhYhVvd+Kixb7zxBozCvJ3BYBAHDx5c92cdyYuwZ6MAAFNyIOU/XpHmysJQsauoxxGC37kL\nQHkrb8bv41RFtKXS+gLen3oFkdhrEIXn0YH8qMyHOp/E3R0nIEvb+zLHls6g9dp1OLVkcZ0AkAh2\nYrErmB+MkoiINmx71wZ1JC5/APF3P0Ti9knvjM0OBLuBrp2QunqA7l35QLerB5LCCeaJbvXr6wn8\n5Zs3kdbzF7cSgH//YBB/fG97fQ9snW5ezeKji8vP8d590ImunRsv61euXEEkEikuP/744+u/ASAE\n1Ll/Li6m/P0QNvctSQQuzf5jcbm37ffy+xei7HneVOs2HgWXLEU3s/jNlb/DO1f/vuy5XQkSets+\ng8PBP4HLvs0HcDRNeKZm4I1OQRLlrbvzu3uQc7vX+DAREVWLQe9qNnJ3VZIBjxfwtQJtHZDaAkBr\ne/453EAXEAgBbe2QZLaKEN2OKQRe+WAOL703vfQYLFx2GWc+1Y2HexqjO2183sB7v15uyQl223Hg\nsGvD+zUMA6+//npx+b777kN3d/e6P6+kxqBkrgMAhGRHqvVTFWkmEyOIZ24AAOyyC/vbPlP4bAr2\nbH5gK1OW2bWZtsTH829iJPojpPS5svUh9RDu7/oaWl2763Rk66doSbReuwElvRywCwCJUCcWQ2zd\nJSLaDAx6VyHt3A185o/gcqtIZ7L5SkiW8w/hORyA4si/utyQ3CrQogJuFfD4AVVlQEtUA/G0jv86\nNFE2YFVQVfBfHt+JvW0bDxq3gpYwMPyrBIxCr2bVI+MT/Rt/jhcAhoaGEIvlp2tSFAXHj1d2TV6L\nGitp5fU9BHOF1rGyVt7Wx+Gw5efhLRu12e/jhTptiWji/bKA1+fcgaOhf4Nuz9Ft/4iDpBvwTUzC\nPTtXNu9utqUF87t3Qm/hs7tERJuFQe8qpLsOQrrrIHyBALJbPHkyEQG/nUrie/9yE7Op5WdgD3a2\n4NnHdsLvaoyfrnTKxPBrGjLpfBu13Q4ce1SF4th4gHj58mW8++67xeVHHnkEqqqu+/NKahyOVL5b\ntICMZOtjFWliqSuIar8FAEiQcU/H5/MbhEDLfEnXZo7aTFvkSOhLuBZ/Gw67ioOBL6K37XHI0ja/\nyVwoL74bE7Dpy79npixhsasLWmcHR2YmItpkjXHlSERNI2eY+JuRafzD+7MoGcgUT97Xjq/f3wn7\nNh+heUk2Y2LotURxpGbZBnzy0x54/Ru/QNc0Da+88kpxee/evTh69Oj6dyB0eKdfLS6mvUdhKm0V\nyUpbeXt8x6A68qPGO7QkbLn8YGKGzYaM11PtVyC6I26lA4/uPoN7ej6J+Hzy9h+oM3s6Df/1m3Am\nyge4THs9WOjZCcO58enKiIjo9hj0EtG2EZlL47/94gI+mlm+QPQ6bfiLR7rx0M7GCaxyWRNvv64h\nES8MuiUBDx1X0RHc+E+uEAKDg4PQCnN5ut1uDAwMVNW10x17A/bsFID8iM1a++cq0iRzc7i6MFxc\nPhD4o+J7dXq590u61c9WKtpSXZ7DcNjdALZv0CsZBryTU1CnZ8q6MhuKHQs7d+QfCWC5ISLaMgx6\niajucoaJ//vbOfzo/RkYJa27Bztb8J8f3YGAu3FGNE+nTAz/KoHFheUpVB542I3Qjtp8h3fffRdX\nr14tLn/uc5+Du4qRXm3ZGaixXxaXtY4TMJXK7smXZ/8JAvlpkDrdB9DR0gsAsCdTaFmIL38+0Bij\nZxNtCSHQEpuHb2ISttxyV2YBQAt0YLE7xKm9iIjqgEEvEdXVuzcT+OvfRHFzcXnuXYdNwp8e7cQT\nB9pga5DuzACQiOcHrUollyP3Iw+2YOee2nRhHBsbw1tvvVVcfvDBB7F7dxWj1QoB7/SrkET+Yjzn\n3LnivLxadhqX5waLywc6llt5vZPR4vuU38fBd4gKFC0J/42bcCRTZeszqhsLPTtYVoiI6ohBLxHV\nxbSWw/94J4qha+WzYR/p9uLPH+rETl9jPesWm9Xxr29oyGbyAa8kAfd/0o2evbX5Hjdu3MDPf/5z\niMKcnj09Pejv769qH87Ee3CkxgAAAhIWO7+Yn2KthBAC70z8TxgiPx2R37kLO7z3AwCUZAot8cVi\n2sWu0B1/HyKrkLO5/KjMsfmy9YbdjviOrvxAb+zKTERUVwx6iWhLLWYM/J/fzuL/XYohVzJSlVuR\ncepoAF9/5G7E5mbreITVuxrJYPSdFMxCj2abDXjwUypC3bXp0jwzM4Of/OQnMIx8d2O/34+vfe1r\nSJfM83k7ci4G7/RPi8sp/3Horp0V6a7F/xUTiQuFJQkP7fh3kAqBcVkrb6sfektjTBtFtBkkw4Bn\nagbq1DRksfxbJiQJic4AEqFOdmUmItomGPQS0ZbI6CZ+cjGGVz6YhZYzy7Z9tteHP7s/iNYWe0N1\nZzZ0gdF3U7g2ni2uUxwSHn5MRVtHbX5e4/E4zp07h2w2/2+43W48+eST8Hg86w56JTOD1on/BdnM\nD/xj2P3QOk5UpMsaGs5P/u/i8l1tn0XAfRcAQEkm4Sq08goAi6HgRr4WUeMSAu65GLwT0bIpiAAg\n5fMivrMbhtNZp4MjIqKVMOglok2VyBr4xw9j+PHFGOIZo2zbXe0u/IcHg7gvuP6BmLaLxKKBd97S\nEJ9fDuC9PhkPParC461N68709DR+/OMfF0dqVhQFJ0+ehN/vX/9OhAlf9O9hz07mF2FDPPRVCLny\nonwk+iOk9fz8uy57K46EvlLc5p2cKr5Ps5WXmpEQcC3E4Z2IQslkyjblWlxY2NGNLKfvIiLalhj0\nEtGmmE3m8LMP5/GzD2NI3tKyu8PrwJ/eH8DxXd6qptrZDkxTIHIpg0vvp4vdmQFg5x4FfQ+5YbfX\n5vtcu3YNP/3pT5ErzIcryzKeeOIJdHZ2VrUfdfaf4NR+V1xeDH4RuZa9FemmtUsYKxnV+RNdX4fD\nlr8Z4ZpfKG/l7WIrLzUXx2ICvokoHMnyaZIMxY54VxdS7Xxul4hoO2PQS0Q1I4TAxZkUfnophqGr\ni2XTDwFAULXjS4cC+P39ftgbqBvzkoWYjgu/TmEhttxiLcvAoQdasGe/o2YB/KVLlzA4OAizEFU7\nHA584QtfwK5du6rajyv+G6jzvyoua62fRtr3YEW6RDaKN6/9VXF5h+d+9PiOAQBsmSxar14vbku1\ntUJ3sZWXmoOiJeGbiMKZKB9wz5RlJEKd0DoDELK8yqeJiGi7YNBLRBu2mDHw+sdxhMfmEYllKrbv\n9DnwpUMdeGyvryGD3UzaxKX307gayaJkvBr422w4eswNf1ttujPruo4333wTFy5cKK5TVRUnT55E\nIBCoal8tsTfgnf1ZcTnjPgCt4w8q0mX0Rfzqyl8iY+Rbch02Dz7R/Wf5AN400XblKuRC8K0rChZ2\n7riTr0bUUOzJFLyTU2iJx8vWC0mCFmhHIhSEaeclFBFRo+AvNhHdkZwh8N6Ehn8eX8Db1xPQTVGR\n5mBnC/743jY83ONtqAGqluh6vivzRxfTMErGq5Fl4MBhF3oPOCHX6HtNT0/jF7/4Bebm5orr2tvb\ncfLkSXi93vXvSJhQZ38Bdf714qqcowvxrq9WTE+km1m8cfV5JArP+8qSgkd3/yeojnyAne/OmZ9z\nVACI7d0NYedotGRd9lQh2F24JdgFkGpvw2IoCMPZWNOpERERg14iqkLOMDEymcS/XF3E29cWK0Zh\nBgCHTcJje3144kAb9rU1ZjfYbMbExx9lMX45U5x3d0kgaMeRh1pqNliVrus4f/483n777WJ3ZgDY\nt28fTpw4AVc1XYmFDu/UK2hZPF9clXXtxUL3v4WQy/djCh3D1/87ZlMfFdZI6O/5c3S67wEAOBfi\n8EzPFNPHd3QhpzbegGNE62FPpuCNVga7QH56rsWuILv1ExE1MAa9RLSm+bSOd24k8OsbCZyfSCKt\nVwa6AHB3hwu/3+vHp/f44HE2ZmtgYtHAx5czuBrJwigfaBpev4z7jrYg2GWvybO7Qgh89NFHePPN\nNxEv6UJpt9vx2GOP4dChQ1X9O/bMTfii/1AcpRkAMupBLIS+Csjl8wWn9QW8de0HmE5eKq57oOsU\ndhWe43XNL6DtyrXl9D4vtM7qulcTNQJFS8IbnSoO1FYq5fflg92WljocGRER1RKDXiIqk9ZNfDCV\nxIXJJC5Mahhf4RndJUFVwaN7vPi9fX7saW3MeSl1XWDiWg5XxzOYmzYqtre4JdxzyIVdex2QatCV\nWQiB69evY3h4GBMTE2XbgsEgPv/5z6Otra2KHRpwx16DOvdLSFi+IZHyHcNi50lAKr8BMZscw5vX\n/gopPVZcd6DjD3FPx+cBAO6ZWfiv38TSN9UVBbHdPRyZlqxDCDgTCXii03AmtIrNKV8h2HUz2CUi\nsgoGvURNbjaZw4czaXwwncTvplOIzKUrRl0u1eVR0L/Li0f3eHFXu6vhphwC8oHu1EQOk9dziN7M\nQdcr0/haZey/14Udu5SaPLdrGAY+/PBDnD9/HjMzM2XbXC4XHn74YRw+fBg22zpbyYWAQ/sA6uwg\nlJLWXSEpSHT8AVL+R8oCVVMYGJv7Jd6L/g1MsfSFJfQFv4J7A18AhIB3MgpvdLr4Gd3pwGzvPggO\n2ENWUJhn1xOdgiOVLt+E/PzTi6FOtuwSEVkQr2SImoQQArMpHR/HMojE0vhoNo3Ls2nMpVaI+ErI\nEnBvoAXHdnpwrMeDHl/tpubZKkIIaAkT05M6pidzmI7qMCsbdSFJQHCHHXvvcqIztPFuzEIITE9P\n49KlS7h06RKSt8zxKcsyjh49imPHjq3/2V0h4EhehDTxGlq1q2Wbsq49WAx+CYajvCvyRGIEFyb/\nFguZ5amHFNmNR3b9R3R7+mBPpeC/PgGnttzqlXW3YK53L0eopYYnGSZa5ubgmZ6BPZsr2yaQn4Yr\nEerkM7tERBbGqxkiizGFwFxKx414FtcXsri2kMG1eBZXYmksZld+HvdWe/xO9HW5cbRLxaFQC9xK\nYz2jK0yB+IKJ2KyO2IyO2WkdqeTqzdeqV8bufQ707HXA1bKxOTcNw0A0GsWVK1dw+fJlzM/PV6Sx\n2+2477778MADD6C1tXVd+5Vz83Atnodr8TzsuemybUJSoLUPINn6aHGEZiEEppMX8buZn2AyMVqW\n3u/swaO7/wJeOQDv9ZtQZ2ZRGt6nfV7E9uyGsHH+UWpccjYHdXYW6swc5Fse0heShGRHGxKdnRyN\nmYioCTDoJWowQghoWRMzyRymtMJfIoeolsNEPIeJRBbZtfon38Jll9Db5sJ9nS04GHTjQKAF3gYa\niCqXE0jEDcTn838LhVdj7QZseH0yuncp6NrpgK9VvuNWXV3XMT09jcnJSdy4cQPXr19HNptdMa2q\nqujr68Phw4fRcrsulELAlpuCI3kZTu0ilFQEEsr/X4VkR8r3MJJtj8O056c1SuViGJ9/A+PzryOR\njZalt8tO3Bt4Aofdn4V3KgF37CJkY/lGiACgBQOId3fxGV5qWIqWhDozg5bYAm49i02bDVqgHVog\nAFPhJRARUbPgLz7RNpHRTcQzBuIZAwtpHfPp/GsspSOWMjCX1jGX1DGbzCFTRVBbyq3I2NvqxN42\nJ/a3u3B3Rwt6fI5tPYeuaQpk0gLplImkZiKZyL9qCROJuIFMen15YbcDHUE7OrsUdHbZq55yyDRN\naJqGubk5zM7OYm5uDjMzM5iZmSmbauhWiqJg//79uOeee7Br167Vn9k1s1AyN2HP3IA9cwOOVAQ2\nfWHlpJITUujTmHV9EhlJwWzqMiYT7yOqvY/59NWK9LKQcb/3D3FYOQ7vXBaOG1cq0mQ8KhZ6drCL\nJzUm00TL/ALUmdni3NKldIcDic4AUu1t7MFARNSEGPQSbYAQAroJZAwTGd1EWhfI6CZSOROpW161\nnAHTFsdsXIOWNaBlDSSyJhYzBhazRlWts7fjddrQ7VGwy+9Ej9+BXT4ndrc6EFSVuj6PK4SAYQC5\nrICeE8jlBLIZgVxWIJs1kc0ISIgivpAqBrrptADuIGtcLRLaOuxoC9jQ3mGHv9224oBUQghks1mk\n02mkUimkUilomoZEIgFN07C4uIh4PI54PL5mcFvK6/Vi9+7d2LNnD/bu3Qu73Q4IE7KhQU7HIRsL\nsOUWYMvNlPzFKlpyS48xCYE5Rxdmnd2IyQpS2keITvy80Jq7/DlFKGhDO9pFBzrRhV22uxEw/LDF\nAKAyiNYdDsR3dCHt97F1lxqOLZuFe3YO7tk52PTKB/UzqhtaZ4DnNxFRk6tb0BuNRjE8PIx9+/Zh\nfHwcAwMDUFV1w2lrRQhRfF16X9P9r/lv3/m+Kj8rVl26Ne2tHxUCECVrl9KLksSi8GdP5bCQ1ovb\nltYX83FpfyX7FIV0ZmHd0nI+nSiszz+jKkQhXWG9IUTxs6aZX2eWbDMFYJii4r1hAropYJgCesmy\nbgroRv41t/RqCmQNAd0wi++zhkDOMJEpvM8Y5rr/v1a63CpdZyuuk1bcvrQsAXDaJXS0KAi4FQTc\ndgRUBYEWO4IeBUG3svwM7lI+mQIwgMW4AVGI28xCBi/9v5iFzF/KS2Hmn401TUCYhXwufTVE2XvD\nEDANAd0ADEPA0E3oev69njNh6PlRk/PnxFKmiUL+CQAmimdHIY1YWidEYToeASHM/PrCqyybcDgF\nnK78n8MloDhMSJIB09AxOZXD9Zs55HI56HoOei6HXC6LbDYDPZt/hTAhS4AEAUnKD94lywKyDEiS\ngCoJ+FoBmyyW/2wCiixgtwl43E60+tzwup3wehQ47IBkjkGY7wNXU4CZBow0DJjIAjAK564BwIAE\nHYAhgKwAdAHkIEGHhJyQkZPs0E1AhgwlnYKCa1CEA164sAuH4BIPwY0WeIQXKjxw4ZaW2hUG7BKS\nhFSrD8n2dmQ9KoMBaixCQJqZRXvkYzjjixW/k/nz2w+tM4Acpx0iIiLUMeh9/vnncfbsWQDA/v37\n8cILL+DMmTMbTlsrN3/ztzimHAEA7NzUf8k6gvU+gDslF/4art9Dyfy5AkCy8LfVJOTzri75J2H5\ndsE2oAOoHLdqWzAUBRmPioxHRdrv4zRE1JDc07PwTE3DnstBuWWboSjQOtqR7GiDqdy6lYiImlld\nrnoikQg8Hk9xWVVVjI6ObjgtEVGzE5IEw6Eg53JBdzmhO53Iqm4YDgdbdKnh2bNZ2HPl0w5lPB5o\ngXZ2YSYiolXVJeidmpqq6J7s8XgQjUYRCoXuOG04HEY4HAYAPPfccwgEyueqrMZNiQNdEFGl0i7/\nKy2vtLbsMQEAkJbXCGnpVSr0X5eQ71ctQ7LZINsUSLIC2a5A2GyAzQbYZMgOJwybDNgVCIcdcDoh\nnE5AUQBJgg35NnAngM19GGR7s9vtG6oLaHvRAu3wTM9AKAq0Vj+0QDsMp7Peh0VERNtcXYLeRCKx\n4npN0zaUdmBgAAMDA8XlmZmZOzxCIHT0T3ANQCAQ2NB+mkU986meAzNVqxb51BDfdwPHWE0e1Swv\nGiFPb1GRT5lM/o/K1Oq3aceOHTU4Gtoow+nEbO9eePfsRjwWq/fhEBFRg6hL0OvxeCqC1tWC22rS\n1pKt8DyQTVGK72l1zKf1ke12yHyWck2SLEOS2dOCiFaW8XnhXW3qLyIiohXU5coyGFx5yKPe3t4N\npSUiIiIiIiIqVZegt7e3t6y1NhqN4siRI2XLS627t0tLREREREREtJq69bM8ffo0zp07V5x79/Tp\n08VtL7/8Mvr6+orP566VloiIiIiIiGg1dQt6e3t7i12U+/r6yrbdOgfvWmmJiIiIiIiIVsPRYoiI\niIiIiMiyGPQSERERERGRZTHoJSIiIiIiIsti0EtERERERESWxaCXiIiIiIiILItBLxEREREREVkW\ng14iIiIiIiKyLAa9REREREREZFkMeomIiIiIiMiyGPQSERERERGRZUlCCFHvgyAiIiIiIiLaDGzp\nvY1nn3223ofQEJhP68N8uj3m0fown9aH+WRN/H9dH+bT+jCfbo95tD7Mp/WpRz4x6CUiIiIiIiLL\nYtBLRERERERElmX71re+9a16H8R219vbW+9DaAjMp/VhPt0e82h9mE/rw3yyJv6/rg/zaX2YT7fH\nPFof5tP6bHU+cSArIiIiIiIisix2byYiIiIiIiLLYtBLRERERERElsWgl4iIiIiIiCyLQS9RDUWj\nUZw7dw4jIyM4d+4cNE1b1+d++MMfbvKREVnXd77zndumudOySUSNqZoyH4lEcO7cOQwPD6+ZlnU1\n0do2Wh9vZl1tr9meGlQ0GsXw8DD27duH8fFxDAwMQFXVDae1mmq+eyQSQSQSgaZpGBsbw6lTpxAK\nhbb4iOvj+eefx9mzZwEA+/fvxwsvvIAzZ86s+ZlIJIKhoSE8/fTTW3GI20K1ZWl4eLhsub+/f7MP\ncVu4k3Ln8XgQjUbR399v+XI3MjKCqakpjI6O3jbtthCJDgAAByNJREFUnZRN2lrVnu+jo6MIhUKI\nRqNlaa1eV9cqn6xeV6+3zGuahu9///v4wQ9+ACCfvy+//HJFnWzFurpW5xJg7Xq61mXOivV0rerj\nTa2rRZP75je/WXyfSCTE9773vZqktZr1fvdEIiEGBweLyxcuXBDPPPPMph/fdjA2Nia+/e1vl637\nxje+seZnEomEGBsbu206q6mmLL366qtiaGiomLb0s1ZXbT6VeuGFFzbtuLab25WfOymbtPWqqWdK\n65XJycmy893qdXUt8snqdXU1ZX5oaKgi7Ze//OWyZavW1bUqc1avp2uZT6WsWE9vpD7e7Lq6qbs3\nL91tWaKq6qp3KKpJazXVfPelbglL9u/fj2g02hRdCaempiru/C3dzVvN6Oho083nVm1ZevXVV4t3\njFVVLd4BtLpq8ykcDjdFObsTd1I2aWtVc76Pjo4iGAwWl0OhEMLhcNX7aUS1yier19XVlHm3241E\nIlGxvjStFevqWp1LgLXr6VrmE+vptcvmZtfVTR30VpO5zXzRVM137+3txXPPPVdcHhsbg6qqlupa\ntpqVKk0Aq/7AjYyM4MiRI5t5SNtSNefTyMgIgsEghoeHi893NEOZA6r/zTl58iSeeeYZhMNhhMNh\nnDp1aisOsyFUWzZp69UqSLF6XV2rfLJ6XV1Nme/r6yvbFolEypatWlfX6lyyej1dyxsorKfXLpub\nXVc3ddBbTeY280VTtd+99MchHA7j9OnTm3Jc243H46nIk7XyzuPxWOYCoxrVnE9TU1MYHx9Hf38/\n+vr6MDAwgO9+97ubfYjbQrXlbmBgAE8++SQGBwcxODi46uebUTVlk+qjVkGK1evqWgZzVq6rqy3z\nZ8+exejoKCKRSDFfQqGQpevqWp1LVq+na1nmWE+vXTY3u65u6qC3msxt5oumO/3u4XAYx48ft9Rg\nBmsp7dJSaqUuUaOjo5iamsLw8DCGh4ehaRrC4bCl7o6upprzKRgMlg3yoKoqotEo82kF586dw8mT\nJ3H27FmcOHHCUhcdG1VN2aT6qFWQYvW6ulb5VMqKdfWdlPn+/v7i9lAoVOzGatW6ulbnktXr6VqW\nOdbTa5fNza6rm3r05moyt5kvmu7kuy91d1m669UMent7y34Io9FoWZeoaDRavGO80sXFwMDAlhxn\nvVVzPq00qqEV77ivpJp8GhkZwb59+4rLAwMDmJycRCQSaYrfqJWUlrfblU2qvzsNUoD8/+dSkGL1\nurpW+bTEqnV1NfUxADz11FN48cUXAQCDg4PFbqdWrqtrdS5ZvZ6uVT41cz293vp4s+vqpm7pXc+P\n4tLdnWa+aKomn4Dlh/6XKtFbh7G3stOnTxfnFxseHi7rLvbyyy9jaGioLL2macXBRKz2HMxqqjmf\nQqEQ3G53cZumaRV3la2qmnzyeDwYHx9fcR9WtjS3pqZpeOmllzAyMlLcdmt5W6tsUv1VW8889dRT\nxfelQYrV6+pa5RNg/bq6mvr41KlTGB4eRjgcxl133VUR7Fqxrq7VuWT1erpW+WT1erpW9fFm1tWS\nEELUbG8NaGk+rZXm3nr++eeLzyfcLq3VrTefotEonn322bIfgFAoVJz/jgiortxFo1EMDg6iq6sL\nk5OTOHHihGUq09upJp+Gh4eLFbOmaThy5IhlKlNqDtWc7+FwGB6PB4lEAh6PpyxIsXpdXYt8Yl1N\nQO3KnNXr6VrlE+vp+mr6oJeIiIiIiIisq6m7NxMREREREZG1MeglIiIiIiIiy2LQS0RERERERJbF\noJeIiIiIiIgsi0EvERERERERWRaDXiIiIiIiIrIsBr1EFlE6EXjp+3rth4iIqNmxbibaHhj0EllE\nOBxe8X299kNERNTsWDcTbQ8MeomIiIiIiMiyGPQSERERERGRZTHoJSIiIiIiIsuy1/sAiGjzhcNh\nDA0NIZFI4PTp0wiHw0gkEtA0DWfOnIGqqvU+RCIioqbCuplo67Cll8jiNE3D0NAQnn76aYyPj+PZ\nZ5/FyZMncfz4cYyOjmJ0dLTeh0hERNRUWDcTbS0GvUQWNzo6ihMnTiAajQIABgYGEAqFAAD79u3D\nkSNH6nl4RERETYd1M9HWYvdmIovr7+8HALz00ksAgL6+vuL6pW1ERES0dVg3E20ttvQSNYmlrlK8\ne0xERLQ9sG4m2hoMeomaxPj4OEKhEAfGICIi2iZYNxNtDQa9RE0gEokA4J1kIiKi7YJ1M9HWYdBL\n1AQSiQRUVcXAwEC9D4WIiIjAuploK3EgK6Im0NfXhxdffLHeh0FEREQFrJuJtg5beomIiIiIiMiy\nGPQSERERERGRZTHoJSIiIiIiIsuShBCi3gdBREREREREtBnY0ktERERERESWxaCXiIiIiIiILItB\nLxEREREREVkWg14iIiIiIiKyLAa9REREREREZFkMeomIiIiIiMiy/j9Nv3vRSBKI4AAAAABJRU5E\nrkJggg==\n",
"text/plain": [
"<Figure size 1152x504 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"Ns = np.arange(10,101,15)\n",
"\n",
"rsq = np.linspace(0,1,100)\n",
"theta = 0\n",
"rho = np.array([(r*np.cos(theta),r*np.sin(theta)) for r in rsq])\n",
"\n",
"r_lie = np.zeros([Ns.shape[0],rho.shape[0]])\n",
"r_cor = np.zeros([Ns.shape[0],rho.shape[0]])\n",
"\n",
"\n",
"f, axarr = plt.subplots(1, 2, figsize = (16,7)) \n",
"\n",
"for idN in range(Ns.shape[0]):\n",
" \n",
" lie_est = lie_trunc(Ns[idN])\n",
" a = .0/np.sqrt(Ns[idN])\n",
" b = (Ns[idN]-1)/Ns[idN]**2\n",
" c = .0/np.sqrt(Ns[idN])\n",
" \n",
" corr_est = lie_corr(Ns[idN],a,b,c)\n",
" \n",
" r_lie[idN] = risk(Ns[idN],rho,lie_est,sq_error)\n",
" r_cor[idN] = risk(Ns[idN],rho,corr_est,sq_error)\n",
"\n",
"lines = axarr[0].plot(rsq,Ns**2*((r_lie-r_cor)).T,linewidth = 3)\n",
"\n",
"axarr[0].legend(iter(lines), Ns, loc=2)\n",
"\n",
"#axarr[0].set_ylim(0)\n",
"\n",
"axarr[0].set_xlabel(r'$\\|\\boldsymbol{r}\\|$')\n",
"\n",
"\n",
"axarr[0].set_ylabel('Relative Risk')\n",
"\n",
"rsq = np.linspace(0.9,1,100)\n",
"theta = 0\n",
"rho = np.array([(r*np.cos(theta),r*np.sin(theta)) for r in rsq])\n",
"\n",
"r_lie = np.zeros([Ns.shape[0],rho.shape[0]])\n",
"r_cor = np.zeros([Ns.shape[0],rho.shape[0]])\n",
"\n",
"for idN in range(Ns.shape[0]):\n",
" lie_est = lie_trunc(Ns[idN])\n",
" \n",
" a = .0/np.sqrt(Ns[idN])\n",
" b = (Ns[idN]-1)/Ns[idN]**2\n",
" c = .0/np.sqrt(Ns[idN])\n",
" corr_est = lie_corr(Ns[idN],a,b,c)\n",
" \n",
" r_lie[idN] = risk(Ns[idN],rho,lie_est,sq_error)\n",
" r_cor[idN] = risk(Ns[idN],rho,corr_est,sq_error)\n",
"\n",
"axarr[1].plot(rsq,Ns**2*((r_lie-r_cor)).T,linewidth = 3)\n",
"\n",
"axarr[1].set_xlabel(r'$\\|\\boldsymbol{r}\\|$')\n",
"\n",
"\n",
"axarr[0].set_title(r\"(a) $Z$-axis\")\n",
"\n",
"axarr[1].set_title(\"(b) Near-pure states\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Qubit risk\n",
"\n",
"Everything the same as above but for the full Bloch sphere."
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"def risk(N, rho, est, loss):\n",
" \n",
" distx = binom(N,0.5*(rho[:,0]+1))\n",
" disty = binom(N,0.5*(rho[:,1]+1))\n",
" distz = binom(N,0.5*(rho[:,2]+1))\n",
" \n",
" px = distx.pmf(np.repeat([np.arange(N+1)],rho.shape[0],axis = 0).T)\n",
" py = disty.pmf(np.repeat([np.arange(N+1)],rho.shape[0],axis = 0).T)\n",
" pz = distz.pmf(np.repeat([np.arange(N+1)],rho.shape[0],axis = 0).T)\n",
" \n",
" pn = np.array([idx*idy*idz for idx,idy,idz in product(px,py,pz)])\n",
" \n",
" losses = loss(rho[np.newaxis],est[:,np.newaxis])\n",
" \n",
" return np.sum(pn*losses,axis = 0)\n",
"\n",
"def lie(N):\n",
" return np.array([(2*x/N-1,2*y/N-1,2*z/N-1) for x,y,z in product(np.arange(N+1),np.arange(N+1),np.arange(N+1))])\n",
"\n",
"def lie_trunc(N):\n",
" untrunc = lie(N)\n",
" norm = np.sqrt(np.sum(untrunc**2,1))\n",
" untrunc[norm > 1] = untrunc[norm > 1]/norm[norm > 1][:,np.newaxis]\n",
" return untrunc\n",
"\n",
"def lie_corr(N,a,b,c):\n",
" est = lie(N)\n",
" norm = np.sqrt(np.sum(est**2,1))\n",
" \n",
" outside = norm >= 1\n",
" est[outside] = np.sqrt((1-b))*est[outside]/norm[outside][:,np.newaxis]\n",
"\n",
" shell = np.logical_and(norm >= 1-a,norm <= 1-b) \n",
" est[shell] = np.sqrt((1+c))*est[shell]/norm[shell][:,np.newaxis]\n",
"\n",
" return est"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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BhSRamq4XptmQLnJCiAVgTyapvtiLNiY5X6Kudl5dcXNGimDiLNcSZxhInCWt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\nHpFkDzHFz/6OF1hYsm7Y50fdLhSTEUMiiSGZxOrzE/Gcup5f58yhi2E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KNinp7uhAzVjA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\n3bp1RKNdB9uaNYuw56zE2NVBdrgs8zxA/4xr/B8RjBoLgKGkvuGM5vTu3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6kAACAASURB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\nRU5ErkJggg==\n",
"text/plain": [
"<Figure size 1152x504 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"Ns = np.arange(10,101,15)\n",
"\n",
"rsq = np.linspace(0,1,100)\n",
"theta = np.pi/8\n",
"phi = np.pi/8\n",
"rho = np.array([(r*np.cos(theta)*np.sin(phi),r*np.sin(theta)*np.sin(phi),r*np.cos(phi)) for r in rsq])\n",
"\n",
"r_lie = np.zeros([Ns.shape[0],rho.shape[0]])\n",
"r_cor = np.zeros([Ns.shape[0],rho.shape[0]])\n",
"\n",
"\n",
"f, axarr = plt.subplots(1, 2, figsize = (16,7)) \n",
"\n",
"for idN in range(Ns.shape[0]):\n",
" \n",
" lie_est = lie_trunc(Ns[idN])\n",
" a = .0/np.sqrt(Ns[idN])\n",
" b = .5/Ns[idN]\n",
" c = .0/np.sqrt(Ns[idN])\n",
" \n",
" corr_est = lie_corr(Ns[idN],a,b,c)\n",
" \n",
" r_lie[idN] = risk(Ns[idN],rho,lie_est,sq_error)\n",
" r_cor[idN] = risk(Ns[idN],rho,corr_est,sq_error)\n",
"\n",
"lines = axarr[0].plot(rsq,Ns**2*((r_lie-r_cor)).T,linewidth = 3)\n",
"\n",
"axarr[0].legend(iter(lines), Ns, loc=2)\n",
"\n",
"#axarr[0].set_ylim(0)\n",
"\n",
"axarr[0].set_xlabel(r'$\\|\\boldsymbol{r}\\|$')\n",
"axarr[0].set_ylabel('Relative Risk')\n",
"\n",
"rsq = np.linspace(0.9,1,100)\n",
"rho = np.array([(r*np.cos(theta)*np.sin(phi),r*np.sin(theta)*np.sin(phi),r*np.cos(phi)) for r in rsq])\n",
"\n",
"r_lie = np.zeros([Ns.shape[0],rho.shape[0]])\n",
"r_cor = np.zeros([Ns.shape[0],rho.shape[0]])\n",
"\n",
"for idN in range(Ns.shape[0]):\n",
" lie_est = lie_trunc(Ns[idN])\n",
" \n",
" a = .0/np.sqrt(Ns[idN])\n",
" b = .5/Ns[idN]\n",
" c = .0/np.sqrt(Ns[idN])\n",
" corr_est = lie_corr(Ns[idN],a,b,c)\n",
" \n",
" r_lie[idN] = risk(Ns[idN],rho,lie_est,sq_error)\n",
" r_cor[idN] = risk(Ns[idN],rho,corr_est,sq_error)\n",
"\n",
"axarr[1].plot(rsq,Ns**2*((r_lie-r_cor)).T,linewidth = 3)\n",
"\n",
"axarr[1].set_xlabel(r'$\\|\\boldsymbol{r}\\|$')\n",
"\n",
"\n",
"axarr[0].set_title(r\"(a) magic-axis\")\n",
"\n",
"axarr[1].set_title(\"(b) Near-pure states\")\n",
"\n",
"plt.savefig('../fig/qubit_magic.pdf',format='pdf',bbox_inches='tight')"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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B09mFq7ubhL+MaFUVusU87fPdaCQYvk6FQqER23w+aQwKIa5Pu3fvpqOjg8OHD3P/ZxqG\nfRZMtmI33z5LJRNCCHE5GYZBIpEgGo0SjUaJx+OkUimSySSpVApd1zEMo7i/2WzGarVisViw2Wy4\n3e7iy2KxTOv6PbHjnA7s4UL0IAb6qPu5bdW4TDV4rfXMzdYyP+zGmR3ZkzugxGijhV6lhx6lm6AS\nQB98wOsw+7nV/QkaTUuxxlNYBgbQsvnuOVU3cPYFsAdChOtrSZT5ZPj0JEgwfJ3y+Xwj5hKPFiAL\nIcS1LhwO09HRAeQbJa2dx8A19HkoeY5atwTDQghxrUsmk3R3d9Pf309fXx/9/f0Eg0Gy2eyMnN/h\ncFBZWVl81dTU4HK5xty/N3aSIz3P0Bc/NeIzs2pnjms5te6PUeNaTt2cBYTaz+M7fwFLLD5sX11V\nSfq8xMt8pF1O7LklWAaOoQ0cJhnpRjfy84aT2Qv8Jvh3vG9tYFXt1yifuxh7MISrtx9zMgmAquuU\nnTuPLRwh3FCHbpJwbzxydyYw3lBlk8k0Y//4ZprH4xkR/IbD4RFDp4UQ4lp3+vTpYe+j6S4eyN3H\nIn0Jb2tvEky2zk7BhBBCXJKBgQHOnTtHZ2cnHR0dBIPBy3q9eDxOW1sbbW1txW1lZWXU19czd+5c\nGhoasFgsBJNtHO3eSefA4RHnqHIuYWHZWmrdzWjqYKhlGKitbVSeOYtS0kutqyoDVRXEKiswtKFe\nYpvJy3zfvcz33UsyG+Z04GVOB/aQykUBCKfa2XP2z7jJv45bq9aT8C/EGh3Ae74DUzoNgD0cwRKL\nE1gwl4zTeTlu13VBguHr1G233ca5c+eK7wuJs+bNmzeLpRJCiJn30UcfDXvvccAd+t0oKKzLfZKf\nxaeff0EIIcSVk8vl6OjooLW1lba2NgKBwKSOM5vNeDwe3G43LpcLq9VafGmaNiyJYjqdLr4Kw6sj\nkQjRaBRdHznEORgMEgwGOf7BESq9OcqW9BGwtw/bR0VhsWUOy2xz8ZnKMJJt6NkQOXMFhuHD3Z3F\nFE8V9zcUhViFn4Hqqgl7bm0mL7dUfZbFFY9wOrCbYz0/I2ekAYOPAr+mI/o+98/9Y7yeenoXLcTT\n0YWzP3/ftGyW8jOtBBbMI+0eu4f7RibB8HXK6/WyfPly/umf/omvfOUrPPHEEzz22GOzXSwhhJgR\nmbTO8cNJ0pkoPT09Qx+oOTxWG0o23/DR0LgnuZJMNo7Z5Jil0gohhBhLNpulvb2dM2fO0NLSQnJw\nuO9oVFWloqKCqqoqysvLqaiowO/3Y7PZLnnVAF3XCYfD9Pb20tvbS6T/PLb0Oeb6kswrS5NwRdmb\nDRG4KIXuItXBnSYPXkWD1IX8a5CSrUdN3o3CUEKrrBWCc+vIOMumVD6TamFxxaeo96ziQOcP6Ro4\nCkAs08Oes3/G3fXfpNZ9O+GGOpJeN76282i5HKquU96SD4hTHvcl3KHrkwTD17jNmzfz/PPPA3D3\n3XezfPlynn76aQC2b9/Opk2b+PM//3MeeeQRWWNYCHHdeP+dBF0XMoRiQ73C8+fPJ2Wcx2EMHw5W\nZzTQ3tMKtUuvcCmFEEKMxjAMurq6OHHiBKdOnSKVSo26n6qq1NXVUV9fT21tLVVVVZjNlydTsqqq\nVDiz1NGB1f4B5urzACQNnVezQU5nE8P2b1Cs3G/yUa6OUh4D1PStqJlbSzbp6JajYDqOr1Mh7VhE\n0tNMyrkYlMmHZC5LFavnfpu28Jsc6Px7snqKrJ5k37m/5rbqL7Ko/LdIeTz039RI+ZmzaJksimHg\nP9tGcF4DSZ8ssVpKguFr3LZt29i2bduon3m93mJgLIQQ14vO82m6LuSTicRK5gPfdNNNaMo50pmR\nc6NqejP0VWbQL1MjSgghrgeGYZDJGCTjBom4TjKhk04ZpJL5n5lM/pXLGGSyoOcMIEIup6Pr+eTF\nigIKCooKmknBZAJNUzBbFBQ1SV/wNJ09J4nHw6OWweVy0djYyPz586mrq7tswW+Bkotjix7CHnkP\nU7pr2GcdeoqXMgEGSnqDrZiYO1BDrtvJaxmNZFYlNTgaqczjZOlNC7lJrcSUGQqzDGWAnG0faPk5\nzwoG1viHWOMfoqt2ku5m4mWr0U2Ty+2jKArzfffiszWw79xfE8/0AwaHu39CLNNL85zfJWuz0bew\nkfLTZzFlMiiGQVnrOfqbFsiQ6RISDAshhLhmZNIGxw7mn85nshHS2cJ8MhWntY5srg1TemRuBJOh\n4r3QSXD+3CtYWiGEuDpl0gbRSI6BSI6BqE5sQCcezRGL6eSmnBvWGHtbysAwDFKZXiKJk8SSbTDK\n0kMm1YnHNZ/qygVUVVXj8ZpwOzVg5NJDM8WcaMUe3o81dgzFGP6ldcPgnVyU93KRYd9ugW81t1V/\nEYvmoqOjgyNHjnDmzJniXGNnROEenwuLeyjESrlcBOYupNy5kETXISzxjzCnzhc/V/UEjvAb2CP7\nSXhWES/7OLppcr23Pttc1jX+Ga+f+x/0J/IjpU4H9qAqZm6v/hI5q5W+mxqpOHMWUyqNApS1nqNv\n0UJy01hG6nokwbAQQohrxodHEiQT+aZJKjeUJNBhrSV4+iOMhgg1DPUMn1XOsMBoAsAeChOPRGXO\nlBDihmEYBomYTiiYIxLKER78Wfg9enmvrRNLtRGOHSed7R/xuaKYcVrn4bI3YTNXoSgKyQE4N5AB\nMsX9HC4VX5mGv8JEWYWGx6ehqtOcH2zoWOIncQR/gyXZNvJjxUTENp9fJ87QlRtaotSiuVhV+zXq\nPSuL2+rq6qirqyMWi3HkyBFaP/yQ3128jErHUH6KQ6EAam01lRY7eBuIZSqJlT+MlunHFjmILXoI\nLTvYW2xkcYTfwh55l7j3HmL+NaBOHLDaTF4enP8n7L+wnfbIfgBO9b+ASbVya9Xn0C0W+poaqTx1\nGi2bRcvlKDvbRv9NTRiqOr37eB2RYFgIIcQ1IdCbpe1Muvg+YwwFw07rfJaUv8sbRoamkjnDJ9QP\nSepJlhjLALCFwxIMCyGuW9msQbA/S7A/R2jwZzo1tcBXM4HdrmJzqNjtKhabgtWqYLGqWKwKJnN+\n6LPJrKBpChUV5QSDARQVMCCdznD8+DGOHD3MwEB0xPl93krq5izF45pPOqUWh2QbYxQzPqATH9Dp\naM8Uy+evMFE5x0RltRm3V504eZahYx04hjP4CqZ094iPM9Y6Ep476DKX8fr5HxDL9BU/q3Qs5q76\nr+Mw+0c9tdPp5P6PfYzPuH2YBpdc1Q2DZz86ybtdnShHj7Bs2TIeeeSR4jE5czmx8nXE/GuwxE/h\nDLxc7C1WjCzO0F5sA0eJVn6GtHPR+N8N0FQzd9V/HaM9x/noewAc7/05JsXCkspH0S1mAgvmUnE6\nv7STJZHE236B0Nz6/Lj2G5gEw0IIIa56es7g8Hvx4nuPP8bZD/ONFVXVaCi3U+c5SzCdxUHpnOEk\nZ9UWluTywbCaGzk8TwghrlXZjEF/X5b+niyB3iyhQG7MoLKUqoLTreL2arjcKk6XhtOt4nCpWCzK\nlDIz2+wa5phCKpXi6NGjHDp0iERieLIpTdNYtGgRy5cvp6qqasQ5dN0gHtOJRXUGIjki4XwPdjQ8\nMkjOZaG3K0tvVxZIYrUpVNeamVNnpqLahKYNL7s5fhpX/4uYS7I8AxhoJN23k/DeTdZWx7nw27zT\n+heDyxblLav8Fyyt/B1UZeweVFM8kU9UlcvPKzYUhTcTMQ705INuwzA4duwYra2tPPDAAzQ2Ng4d\nrKiknYtJOxYNBsV7ikGxlg3i6/whSddyopWfxtDGXytYVTTuqv8mb7T/TXH94yM9z2AxuWkqe4CM\n00m4rgbf+Q4AHMEQGbudWFXFuOe93kkwLIQQ4qrX05VlIJIPZDUTWFwdxc/mz5/HyvnHiKOTwRiW\nTdqqphjQS+acjbKGpBBCXCsMwyAUyOWDwe4Mwf4cxgS/1sxmBa9fw+vT8JZpeMo0nC51+kONL5JK\npXjnnXc4dOjQiKzQNpuN5cuXs3z5chyOsZe3U1UFl1vD5daorh1KmJXLGUTDOYL9OQJ9WQJ9WZLx\n4dFxKmlwriXNuZY0mgmqa8zUzbNQ6+/FE3gBS+L0sP11xULSewdx333oJi+GYXC85+cc6/3n4j4m\n1cZddV+nztM87nc3JZPDAmFdVQksmEej28WXF93Mvn37aGvLD8ceGBjg+eefZ/HixaxevRqbzTZ0\nIkUh7VxE2nEztugBXH2/QtXzDxRsA0cwJ9sIz/kyWdv4eS801cQ9DX/EvnN/RU/sOAAHO/8Bn7We\ncsdC4hXlmBMJnP35odmejk5SbhdZu228017XJBgWQghxVeqMpmkJJrmt2kl3x9D8sfkLrbRe6B16\nP38+VdZf0Wfk93Ey1OByqxlC+lBiFGUyXSZCCHEVSad1eruy9HRk6OnKTjjs2e1VKSs34a/Q8JWb\ncLknMYx4GrLZLEePHuXgwYPEYrHhZXC7WbFiBUuXLsVkmn64oWkKPr8Jn9/EgpusAMRjhYcBWfq6\ns2TSQ/cjl4W+jihzjdfxxw+iKkOfGYqJuPce4mWri72supHjQOcPaQm+VtzPZZnD/XP/LR5r3fhl\nS6UoP10SCGsq/Y0LyDjzdZDf7+fTn/40LS0tvPrqq8Tj+dFNJ06coL29nU984hPU19cPP6mikPSs\nJOVYjLvv/2IbeD9/rWyYsvM7GKj4bRLeu8cd2mxSLdzX8Me80vpdQslz6EaWN9q/z8NN38Vm8hKu\nq8WcSGKJJ1AAX/t5+m5qumGHS0swLIQQ4qrRPZDm9bYob5yLcCaQ72Eot5n4vGloGFd1rZmDRwPF\n9xXlfqyxMEE9i2Zo2LAD+TUdfYpOKyXBsPQMCyGuAYm4TteFDF0XMvT3ZMcd+uzxqpRXmymv1Civ\nNGGxXt6kSLquc+LECd5++20GBgaGfeb1elm5ciWLFy9G0y5PJmiHU2Nek8a8JiuGbhAM5Og6n6Hz\nQppay1HuqH8Vu3loWo1uKJyN3EbE/SBVngrMWv7+ZPUkb7X/LR2DASdAlXMp9zb8EZYJhiRr6XQ+\nEC7MEVaHB8IFiqLQ1NREXV0d+/fv5/Dh/PDlWCzGs88+y913382KFStGPKwwTC4ic75AMrYcT/dO\nVD2BQg5333OYk21Eqj43bnIts2bj3oZ/w+6W/0Q6FyORDfJm+5M8MP8/oKoaobn1VJ48nZ8/HE/g\n7OsnVnljDpeWYFgIIa5zhmHA+VaMU8egrwdC/RihAAxEwO4AlwfF5QZfOcqiW+GmpSgW6xUv569O\nBXnqvW70i+eHJQ0KyzWazODxQSgUKn5e6dVQYjohI4u9pFc4Z6So1ExkM6XBsPQMCyGuTvGYTmd7\nmo72DKFAbsz9rDYlnzxqjpnKahNW25XLCHzu3Dlef/11+vr6hm13u93ceeedLF68GPUKZihWVAV/\nhYkKb5S7K3+G9aIh0R2RebzVvpZQMh/oqUci1M+zUL8ww8HgfyeQOFPcd573HlbVPo6mjh8eqZlM\nce1eAF1RCDTOHxEIl7LZbHzuc5+jvr6eV155hUQigWEYvPnmm3R0dPDwww8PHzY9KO1cQqDhX+Pt\n+hHmVH56kG3gCGo2TLjm9zA0+5jXdFmquKvuG+w995eAQW/8BIe7f8rH5nyZrM1GtLoST1cPAO7O\nbpJezw253JIEw0IIcR0yMhmMQ2/BkXcxPjwMkdD4+xd+vrArH3HevAzltjtQ7l2LYr38c4mOdsdG\nBMImVcGkQkNuKDDPOgyi0UhxTUeXy4WNfM9E0MjiNHzFfVO5FE40NGUoGDb0oeHWQohrT1Y3iKdz\nxDM6iaxOMqOTzBkkMzrpnE46Z5DOGWR0naye3z83+DIA3Rh8QEi+104hPzpUUxQ0FTRVwaQomDUF\nvzdLKhHDalKwaSo2s4rNpOIwF14aZu3ShpYmE/ksyRfa0uMGwD5/fi5tVY0Jb5l2WYY9jycYDLJv\n3z5aW1uHbbfb7Tz44IPMnz//koZDT5uhY4/sx9n3ImpJ4quc5qHT+lt8GLyJaHbo976eg7a2fk4q\nT2LYh3JPLKl4hFurNqCMkygLQMnl8Le0Ykrnr2UoCsHGeaRd4/ckFzQ1NVFdXc0LL7xAZ2cnAK2t\nrTz99NM8+uijlJeXjzhGN/sJ1v0r3H3PY4+8A4Al2UbZhR2Eav8A3eQZ83o17uXcUvVZjvXk50Of\n6n+BaucSat0fY6CqEnswjDmKVkq8AAAgAElEQVSVQtV1vOc7CCyYd8MNl5Zg+Dpw9OhRNm3aRCgU\n4pFHHmHbtm2zXSQhxCwxQv0M/PpZ9Bd/BtHw9E6SzcDx9zGOv4/x3NMo6z6D8uCnUOxjP/W+FIFE\nlr98vaMYCM/zWfmdJX7uqHcRSGTZ81K4GK3vDUSIHw0Wj/X7/WjZ/JDpoJ6hvCSTdDybxqooeErq\ndV0faiwJIWZXJmcQTmUJJrKEkzlCySyRZI5wKkcklSOayjKQ1ommcsTSOWKZfLB75fRMuIdFU3Bb\nNNzW/Mtj1fDaNLw2Ez6bRpnNhN9hwm834bOZ0FSFbMag83yG821p+nqyQ08jSygKlFeZqKk3U11r\nxu6YnfVgU6kU7777Lu+//37xISSAyWSiubmZ5uZmamtrR/QUXwlqJoSnZyeWREtxm4FCwncvMf9a\nLKqV22ph6e0GF9rStJ1JERoIkJr/JIZtcHklQ8Eb2cAc/yeBiZZnMihra8eSSA5eCwLz55JyT225\nPpfLxWc/+1nefPNNDh06BEAkEmHnzp186lOfoqGhYZQvayZa9S/IWipx9/1fAEzpLsrO/7+Eav8l\nOcvYQ5yXVnyaQOIsHdGDALzX8fd8cuHNWDQn4YY6Kk7n758tEsUWCpMs8415ruuRBMPXgW9/+9v8\n5Cc/wefzsWnTJjZv3lwMiO+55x7a2trwer0A3HfffezYsWM2iyuEuAyMQB/Gz/8J453fEMuN0rvg\ncqMsuR3mNuaHQ/v84PZCMgEDEYxoOD+U+vj70Nk+dNxABOPZf8R46VmU3/ocysO/g6LO3DywrG7w\n3/ZdIJTMl9lr1fh/Hqyn3JHPJmpTVKoUS3G+3HkjhdbSQe3g8eXl5WiZADnDIEqOhpJh0gPpNGWA\ntzRj6mj3Rggx49I5nd5Ylt5Yhr54hr54lr5YhkAim3/Fs4RT1/6/x3TOoD+RpT+RnXDfOsXCMrOD\nOt2KNkrgpShQUW2itiG/TNDlnvs7HsMwOHnyJK+//nox8VPB0qVLueuuu3C5XLNUOrBGj+DufRZV\nTxa3Zc1VRKo/NyLjstmsMH+hlYqGMK+0fB9DH0zAaChYLnyFTOgO9rfH8Pk1bl5mo6rGNLLn3TDw\nnu/AFhlaNzlcX0fKO3av7Hg0TeP++++npqaG3bt3k8lkSKfT/OIXv+Chhx5i6dKlox6X8N2HoTpw\n9/wzCnp++aUL2wnVbRozIFYUlTtq/5AXTv8HUrkIiWyQ97t+zB11j5N2OYlV+HH25R8qezq6SHo9\n+bW3bhASDF/j9u7dy/3338+8efMA2Lp1K/fcc08xGA6FQhw/frwYDAshri9GKonx0s8wXvoZpC/q\n9SyrQLlvHcptq6ChEWWcyq202jf6ezHe34+x++fQP9gzEh/A+Od/wDjyLurX/h1KeeWMlP8f3+/l\neG9++QhVgX9/X20xEAbo68kWlw0JkyWOjpYaaoz4/X60zHlCRhYDcJYsqxRMZmgAPCWNGlWmDAsx\nI3TDIJjI0hnN0DWQpiuaoXsg//97YpniA66ZpirgNKvYzSp2s4bNpGAz5YcvWzQFi5b/adIUzKqC\nSVXQVAVVAVXJ/yz8RjAG/6Mb+e+TNQxyg0OrMzkd1WwlEkuQyukkswaprE4yqxPP6MQHe6onSkPg\nQOVmxc4i1Y5bMcFFOfwMw6CLDKf1BO0kKYuYqT1noS5kod5jocFrpd5rwWW5PMmoRhMIBHj11Ve5\ncGH4urw1NTV8/OMfH3Wd4CtF0ZO4en+JPXqouM1AIV72cWL+NaCMHtrE0n282vbnJPT+/HnQqE1/\njXDk1uIfSSiQ4519MfyVGktvs1NWPnQuV08vzv6hxI3R6kriFf5L/j4LFy7E4/Hw3HPPEYvF0HWd\nPXv2EI1GueOOO0YdDp/0NKNrDrxdP0YxMmi5AXwd/x/B+n+Fbhq9vW81uVlZ+/u80f59AM6G9tLg\nuYMa921EauZgC0XQsllMmQzO/sANlUxLguFr3OrVq7ntttuK7wtBcTgclgBYiOuccfBN9J88BaH+\nYdvNS28jt/qTcPtdKNPI5qmUV6KseQTj45/E2P8axq92Qk9+bhMfHUf/L3+E8pVvoq6675LK/35n\njJ9/ONS4eGx5JcvnDJ931dM5NNfLWa5CNzhzQ0t45IPhIEEj3yvjKBkm3Z/IH2sqaX2qxo01F0qI\nSzWQznEhki55peiIZuiMpi95yLICeG0avsEhxT6bCa9Nw2M14bHlhxy7LRouq4bLouK0aFg15YrN\nl62oqBh3+K9hGCSyOgMpnWg6RzSVI5zMD/mO9euoAQV7QkUZpRc4aGT4SE9yxkgQK/kdFR+8z+8O\nj0Px203M91mZX2Zlvs/KgjIbdR4L2gytFQz5pZLeffddDhw4MGxItNPp5N5772XRokVXfK5yKVOq\nE0/XjzBlhuq8nKmMcPUXyNrnjXlcPBPg1dY/Jz54nKqYuLfhj6h1f4zEYp3THyY515IuLkMf6M3x\n+p4BahvMLF5uozw7gKeze+h8ZT6ic6pn7HtVVVXx+c9/nueee674923//v1kMhnuvffeUe952rmY\nUO0f4Ov4+3xAnA3hu/B3BOs3FpeNuli9ZxUNnjtpj+wH4N2Ov+OTC7+HRXMwUF2J90K+nnd19xD3\nl2FcpmzgVxsJhifwmR+dmLVr/+KxxZParzToLSzsXbpt06ZNHDlyRIZIC3GdMOIxjKd3YLz16vAP\n6hegfuFr+O97aEbmbykmE8q9azHuehDjhZ0Yzz0Nug7xGMaObeinj6N84Q/H7XEe8zsYBj8+MrRW\n8Ko6J59d5h+xT0/X0NDD5sUOftRj4Lg4GO4IEBxcY9hR0jMcSulkcqCWNDQ1bpyhX0JMxUAqx7lw\nirZQivZwivZwmvZImuAkhv+ORlWgwmGi0mmmwmGmwmGifPDnxXNor1WKouAwazjMGlWYSSZ0zrWk\nSbekUOIjf9eYzVBWa0ItN3CoYI5B+YBG10CGrmia4Di96YXh5Qc7h37/WTSFBWU2FvqtLCy3c3O5\njVqPBXUaAev58+d55ZVXhmXqVxSF22+/nTvvvBPLbGYZNgxs0fdw9/4SxRj6+5hwf4yByk9jqGMn\neUxkQrza+j1imXx9oyom7pv7x9S4lgNgd6jcusLBTUttfHQ8SduZdHFaTkd7hlRvjN+ZNzR3POVy\nEmqom/EkU263m/Xr1/OrX/2Kc+fOAXDw4EEymQwPPPDAqAFxxr6A8JzH8Hb+HxR0TJkefB0/JFT3\nhxjq6CtCNNf8Lj2x46RyURLZAIe7fsKquq8RK/fj7OnDlMmgZXM4e/sZmDN7IwCuJAmGrzNPPPEE\n3/nOd4Ztu/XWW3n66afZvHnzsPnEQohrj3HqGPrf/c3Q8GUAjw/ld76Ccu+aGZ3PW6BoGsojX8RY\ncjv6//4r6Ms/ITdeeT4/5/j3/vWUr3ukO87JvvxcL5Oq8PU75oxowA1EdRKxfCBrMkFDjZXVc1To\ny7dUDLMdmxnUXIzQYAPJWdIznDRUggkNzW6go6MO/g/DuOGyZQpRkNMNLkTSHOjr4Vh7H22hFK3B\n1KTmvF7MbVGZ47ZQ47Iwx22m2jX4clood1zbge5kGYZBsC/H2Y9SdJ7PjLoecEW1ibkLLMypN6ON\nk306kdHpjA72wEfTnA+nOBfOv8+OMh47nTM42ZfgZF8CyAexTovKTeV2FlfYWFLpYFGFHbt57IeA\nqVSKN954g2PHjg3bPmfOHB588EEqK2dmSsy06Wncvb/APpj8CUBXLESr/gUp9+3jHprMhnm19XsM\npLsAUBWNexv+qBgIl7LZ80HxgputnDiSpPN8Bqua4+GaPkyDGc5SqpnAvIbLNp/WYrHwyCOP8NJL\nL3HmTH7Jp6NHj5LL5XjooYdGXbIq7VxEpPoLeLqfRsHAnDqPp/NHhGt/D5SR9bLN5GFFze/x5vkn\nAWgJvUZj2QOUO5qIzqmirD0/JMHV00uswo8xGxnCr7Dr/xveQJ5//nkikQjf+MY3itteeOGF4tDp\nb37zm8PmEwshrh2GYWD8aifGL35EaWtLuesBlC9tRHFc/kQmStNi1P/0P9D/4ftw4M18ud58GTJp\n+Jd/jDKFSvOZY0PD3NY2eYfNEy4oHSJdUW1G1RRW+HUODG4L4iAa7aUSisGwwxhKoJU0NIJxE26H\nQo4sKvmeDUXXb5jhX+LGlsrqtIZStASSnAkkORvM9/xmprDetklVqPNY8i93/metx0Kt24LbeuP+\nO8rlDDrOZWg5lSISGtmja7EqNCywMK/JgtM1uftkN6s0+m00+of3dOZ0g85omtbBBxetoSQtgdEf\nYMTSOu93xni/Mwb0oyqwoMzGLVV2bql2sLTKUZx/3Nrayssvv0wsVtLbbLFw7733csstt8zqkGgA\nNRPE2/mPmNOdxW1ZSzXhOY+Rs4wfpKdzMX7Tto1oOr98koLG3fX/mlr3x8Y9zuXWWHmvk2Bvhoqz\nrXgs+T/btK7wi7N+zKEUy1dqly27t8lk4pOf/CS7d+/m1KlTABw/fhyANWvWjPpnknIvJ6on8fQ+\nC4A18RGu/pcYqPjtUa/R4L2TuvCbXBh8wHCo60esWfCnJPxluHt6MaXSqLqOq6ePaO2cy/E1ryoS\nDE9gvKHKJpOJbHZ6w4dm2tGjR3nyySd58cUXh20vBMIAPl8+VbrMJxbi2mKkkhg//D7Ge68PbXS4\nUL7yjUuetztVit2BuvHbGP/4A4zXd+fL9+4+jEwadeNmFPPIoPZix3viHOvOZyfVFPjs0tGTkPSW\nDJGuqslXV+b0UPKsAc3F0fZ2Gm0wYOQbLKVzhuMZE8GERhkKWXIUSqYYxmgrmQhxTcvk8oHv6f4k\npwNJPupP0h5OTZjgqcCsKtR7Lcz1Wpnrs9LgtdDgsVLtMt8QPbyTlUrqtJ1J03o6RSo58uaWVWjM\nX2ilZoJe4KnQVIV6r5V6r5X7SqbGhhJZTg8+6PioP8HJviSRizJ06wacGdznFyeCqAo0ejQWxk6Q\n6T47bN8FCxbw4IMPzmqW6AJzvAVv149R9aFAPeFeQbTy06COP2Q7q6d5/dx/J5TMDzdWULi7/uvU\ne1ZO+vrz0r24LEOZql/pLCeYtkBnltdeiLDkNjvzmiyX5YGBpmk8/PDDmEymYiB8/PhxLBYL999/\n/+hJtbx3oGXDOIOvAOAI7SNjrSE1RvB/W/WX6Rw4jG7k6E98RHtkP3O9dxGZU42/Lb+ihLO3j1hl\nOfok6vVrmQTD14FwOMy3v/1tfvrTn467X2EOggTCQlw7jP5e9L/9r9Be0mi5+RbUP/x3KGXls1Im\nRdXgq98EswXj1fx6h7y/H+Mfvg9f+9aEjYPSXuEHFnipdo1s2ORyBv09pcFwvjIOBIYSbsU0J539\n3Ri1BglyaIaGjXyPim5APG0lGNcwoZCl5MGlflE6VyGuMYZh0DWQ4WRfglN9CU7153t9RxtKO5oK\nh4lF1W5qHSrzBpMy1bpnNhnT9WYgkuPMyRTnW9MjfoWoGtTPtTD/JgvesivXtPbZTaysc7GyLh+8\nGoZB9+Dfiw9786+2UGrYwz9fqp/q1g/IlCxJpGsWqpfdyYrmpbhco881vWIMA3v4LVx9/xdlMN+D\ngUa08tMkvXdMeLhu5Hjr/JP0xk8Wt62s/UMavHdOugi2UBhX71A9FayohKwHBvIrNmSzcPRAggvn\n0tx+h2PSPf9Toaoqa9asAYZ6ht9//32sVit33jn6d4n512BKd2GN5ff39PyMoLmKrK1uxL5uazU3\n+R/mZP8LABzu/il17maSPi+Znl7MiSSqYeDq6SNSVzPj3+9qIsHwdWDTpk1s3759RJC7d+9efvCD\nHxQ/e+KJJ4YNoRZCXN2MttPo/+PPIBoublMe/G2Uz//hlIYkXw6KqsKXNoLFgvFSfmiWsf830LAA\n5ROfHfO4U30JDg0mgFEVWL9s9IA+GsoVG5wOp1ocktbfP9RAiWku/NoF0hjkAHfJGsOJnIqq2PNz\nhpX8MOli2Ueb1CfEVSyZ1TnVl+BEX4KTvQlO9ieJTmKNXgWo9VhoKrPR6LfS5Lcxv8yGx6pNmClZ\n5AV6s5w+maT7wsiRgDa7woKbrMxttMzqmsAFiqIwx21hjtvCxxfk24QD6RwnehMc6YjQcfwAnujw\n3uBuSzUnnUvIXLDw9IWz1LrNrKxzcUe9i6WVjiv7gMTI4ep9DsdgtmOAnOYiMucxMvb5Ex9u6Lzb\n8b/pKFl26bbqL9FYtnrSRdCSKXznzhffJ7weEnXVLK9XqJtn4fC7cWLRfOUU6M3xm5ei3PIxOw0L\nZr6XWFEUHnroIVKpVHEO8f79+7Fardx++yjzpRWVSPUGytr/F6ZMD4qRxdv1jwTqv4lhco/YfWnl\nZ2gNvU4qFyWe6eNU/0ssqXyUyJxqys/mE/I6+gNE51Rd11OLJBi+xu3du5d9+/Zxzz33DNv+5ptv\nsnr1ao4dO8bdd9+Nz+fjU5/61IjkWkKIq5Nx8ij6k/81n6AKQNNQvrwJdfUnZ7dgJRRFgc/9fj67\n9L5fA+TXIq6bh3LLilGP2fnBUDB73zwPtZ7Rh7uFAkMNfV95vhLWdZ1gMFjcHtOc1FoHSBSGSJdk\nko5nNTTVTihuwoRCpjQYlp5hcZULJrIc743zYU++d68lmJzUcOc5LjMLy23cVG5jod9Oo9+Kw3z9\nNmIvF8Mw6OnM8s7e83R3Jkd87i3TaFpkpabBjHqV96a7LBpzzXE+PPEynvDQ709MFs6XLeOkPnzu\nbUc0wy9PBPnliSAui8rKWhd3zXXTXOPEarp8Ab+SS+Lp+jHWxEfFbRlrPeGar4y5du7FjvTspDU0\nNJ1oScUjLB5j3uyoZdB1/K1tqIN1RNZiIdRQX0y4WF5p4uOfcHPqgyRnTqQwDMhl4fC7Cbo7s9y2\n0j7jD0VUVeUTn/gEzz//fHGE5969e3E4HNx8880j9jdUG+Gar1J2/m9R9SRaNoyneyfh2t8HZXjZ\nLJqTZVWf5WDnPwBwvO+XLChbDR4PWaulOHfYHggSv47XHZZg+Bq3evXqEYuil/rGN74hvcFCXGOM\nQ2+j7/hvkB1MIOVwoX7zOyg3L5vdgo1CURT48iaMznY4/SEYBvqOv0T9j/8NZU79sH3Ph1O8c36g\n+H7DLWMP8x4WDPvzjflwOFxc+9Jqd5BVzdRao8QHh9KVZpJOZDVMqp1gLD9MOqFkKYwVVKaQPEiI\ny60wtPWDnjgf9CT4oCdO10BmwuNcFpWby+0sqrBzU7mNmyrseG7ghFYzwdANOtozfPRhkmh45EOz\n6loTTYts+Cu1WU8uNRm6rnPgwAH2798/bN3gBQsWsGbNGhwOB90DaQ52xDjQEeNIV4xUydrRA2md\n11ojvNYawWZSWFHr4t65blbWuWY0MFYzQXydP8SUHlolIem6jUjV50Cd3HzV04E9nOh7vvi+0fcA\nt1Z9fvKFMAy87RcwJ1P5t4pCYP5cDNPwf1OaprBkuZ2aejMH3x7qJe46nyHUn6X5LiflVTMbXplM\nJj71qU/x85//nM7OfDKx3bt343a7qakZOYQ5Z6kgUv1FvJ3/gIKBNfER9vBbJHz3jti3qexBTgd2\nE0l1kNWTHOv5GStr/4CBigp8F/LJx1y9/cQryq/bVRgkGBZCiKuI/ubLGD/8n2AMNlx8ftR/+19Q\n6ubObsHGoZjMqF//D+hP/DsI9EEihv63T6D+x79CsQ8NXX65ZWi49531LuZ6x56bFgwM9eT6/Pmq\nqnS+cGVFOZYU1FoHuDB4r0qTZyVyKppmJ5FRyGZUGSYtrhqF+b7HuvOJ5I72xOmPT5yMc67XwuJK\nO4sr7CyqtFPrnt56smIkXTe40Jbmo+MpYgPDg2BFhfp5FpoWWXF7r52HDdFolJdeeomOjo7iNrPZ\nzP3338+yZcuKwXy1y8Jv3Wzht24uI53TOdYd553zA7xzYWDY38tk1uCNc1HeOBfFZlK4o97N6nke\nbq9xjrj2VJiSF/B2/hAtN/SgNFa2hph/zaSDrwuRgxzs/D/F97Xuj7Gi9ven9MDCHgjiCA6tsRyu\nryXrsI+5v89vYvXDbo6/n6DtTH4ucTJh8NZrAyy+1UbTYuuMPjAxm808+uij7Ny5k2AwSC6X4/nn\nn+cLX/gCHo9nxP5p5yLivvtxhvYC4Op/kbS9iZx1eHZoVdG4vfrL7D33lwCcDf2GJRWPovjL8HR1\noeZ0TOk01kiUlHfkda4HEgwLIcRVIh8If39o6aSqGtQ//i8oFdWzW7BJUDxlqN/4DvrWLfmllrou\nYOz6e5SvfhPILw3yakkwvK7JN+a5shmDgchgg1TJD0mE4cFwRXk5K3Ng03IkcmMPkwaFcFLD0IZ6\nmg194l43IWZSbyzDka4YR7rjHO2eOPg1qwo3D64Tu2QwAHZJr++M03MG7a1pPvowVVzTvEDTYPEt\nXmrmGpdtGZ3L5fTp07z88sukUqnitjlz5vDwww8XVxYZjUVTaa510VzrYpNhcCaQ4u32KG+2R7kQ\nSRf3S2YN9rZG2NsawW1RWbc4wl01Fm4ut00pALTETuLp+jGqkT+3gUak+nNjZkAeTX/8DG+d/1sK\nawT47Y3cXf8N1FHW2B2LKZnEe2HooUHcX0bcXzbxcSaF5SsdVNeaef+dOOmUgWHAh0eSBPqy3H6H\nY0aHTdtsNh599FGeeeYZkskkiUSC5557jvXr12O1jny4HCtfhyX+EeZ0Z37+cPdPCdR/Y0Rv+xzX\nciocN9MXP4Vu5DjR9zwran+feLkfV08+r4Crt0+C4ZnW3d3N22+/zYIFCzh79ixr167F6Rz96VJL\nSwsDAwPE43GOHDnCZz7zGaqrq6d8HiGEuFrpb782PBCuX4D6x/8ZxTNxhXy1UOY1oXz1mxh/998B\nMPa+hLHiXpSlt3OoM0YwmQ9IfTaN5tqxf0+HgkOBq9ujYjLlG1elybP8fj93kG/oxYs9w6UJtDRU\nxYKCSihuwu0eCj6MnATD4vKKpHIc7Y5xuDPO4a7YhMOebSaVpZV2llU5WFZlZ2G5DbN2bQVg15Ji\nEHw8SSI+fKSIyQwLbrLSeLOV2rrKayrJWDabZd++fRw9erS4TVEU7rjjDlatWoWqTv7vlKIoLCy3\nsbDcxmO3VdAeTvPGuQj72oYHxtG0zs+OdPKzI1DrNvNQo5eHGkdfO76ULXIAd8/PihmjddVOuOar\nZOwLJl3GWLqXfef+itxgMO00V3L/3G9hUm0THFlC1ylrbUcdnD6TsVoJ19dOaUhwda2Z1Q+7OfBm\njGB/vv7q7siyd/cAd9znxOObuQdZhRxAzz77LLqu09/fz4svvsijjz468s9XMRGZ80X87f8Txchi\nSnfl1x+ufGT4borCssrf4Tdt2wBoCf2GJZWfRqsox9nThwJYB2KYEgmy9rF7y69VsxYM//Vf/zVb\nt24FoKmpie3bt/Otb31r1H2/+93v8uSTT+J0OhkYGGDHjh386Z/+6ZTPI4QQVyP93dcx/u5vhgfC\n//6/ojhHZn+82il3PYBx6C049DYA+v95EvU/f3/YEOkHFnjHzVAaKhkiXeYfqqZKe4b9fj+VuXOQ\nophAy1nSM5xW8nP6NNVOMGHC4ZaeYXH5ZHI6H/YmeL8zxvtdcVoCyXHXsrabVJZW2bml2sGt1Q4a\ny2yyrNEVoOsG7WdHD4LNFoWmRVbmL7Ritlx7fxaBQIAXX3xxWPDudrv5xCc+QW1t7SWdW1EU5vqs\nzPVV8sVbKzgbTLGvLcK+1gi9JaMcOqIZ/ulwHz8+0kdzjZO1C32sqnNhKv27bRg4gq/hCvy6uCln\n8hGq/QNylqpJlymTS7D33F+RyuXXnrdoLlbP+za2SSbbKvB0dGFO5pOkGYpCcH4DxhQeGhTYHSr3\nPOTiwyNJWk7mH9QmYjqvvxzlY3c6qKkff23kqairq2PNmjXs3r0bgLa2Nt555x3uuuuuEfvmLFUM\nVPw27t5fAuAIv0HKuZSMo3HYftXOW/DbmwgkzqAbWU70/Yrmmq+Q9Hmxh/L1t6u3n9Dc+hHXuNbN\nSjDc0tIybEFvp9M57CnWxQqBMIDL5WJgYGBa5xFCiKuNcehtjP/9l0NzhOvmoX7ru9dkIAz5RpP6\n2NfRT30AsSj09xD+5x/xjjq0tMWapvEbK6XJs7z+0TNJ+/1+PAPHIUUxgVbpnOHc4DIQmmYnGNeo\npbRneOL5mUKMxzAMLkTSHOqMcagzxrHu+LDEQxezaApLK+3cOsfJ8moHTX4Jfq+k/JzgDKc+SBK/\naDi0xarQtNjK/CYrJvO1+Wfy4Ycf8tprr5HJDD3oW7hwIWvWrBl1+OylUBSFRr+NRr+Nr95eyfGe\nBG91pHj5VC+J7GAvrwHvdcR4ryNGmd3EuiYvDy/0Uekw4er/FY6SjM8ZyxzCtX+Abpr8ENzCWsKR\nVD6BrKqYuK/h3+KxTm09XGs4gqtvaMRRuLbmkno+VVVh2e12/BUah/bHyWXz2abfeyPOzct0yj8+\nc/kqlixZQjAY5L333gPgnXfeobq6mgULRvasJzx3YYmdxDq49rK791kCc/8NKENhYKF3eN+5vwKg\nJfgKSyoewVxZXgyG7cEQkZo56Obra5btrHybnp6eEUOZXS4X3d3dxeHPpUr33b17N4899tiUzrNn\nzx727NkDwF/8xV9QUTF6evDu7m5MU1y7c6r7X6usVuuY920iJpNp2sfeKOQeTc71dp/SHxwi+NRf\nUlhQV6ufj/+7T6L6/Jd03lm/TxUVJB7/FpG/+TMA9n7UT/amfCNgabWL5qa6cQ+PhoYSqcxvKqei\nwkZ/fz+5wbnBbreb+vp6lDP5ZacSgw8SSnuGVbsd0NFUB/GMiq7kitmkHTYLtoqK2b9P4poSz+Q4\n2hXnQEeMQ50D9MTGfqiiKnBTuY3b5jhZPsfB4gq7DHueBYZh0Nme4cSxZDHrb4HFqrBwsZV5C63F\nqRjXmmw2y2uvvcbx43Rc98MAACAASURBVMeL2zRNY/Xq1dxyyy2XPeO1qijcUu3ggWVz+d1bvbzV\nHmXPmTBHu+PFfYKJLM8c6+fZD3rZtuxd7nKeKH6WtjcSnvNVDG0Kw5qB97t+QufAkeL7VbVfo9K5\naGplz2SGryfscROvuLS6t6Cm3oLLrfHOvljx4cupD5KkU90svV1D02bmz+Wuu+6iu7ub9vZ2AH79\n61/zpS99aWRCLUUhWvXZ/5+99w6z6yrv/T9rn96nV/VeZjSSRl2WbCEbS9jYgEvoGBLHiUmAXAJO\nIOSSy8/8bkxCEpIQOsQYsCGu2DIucpFk9Trq0qhNH009ve91/9hnTtGojDQjTdH+PI8fa+129pyZ\nc/b6rvd9vy+mc99FkVGM8U4c3e8QLLw9976dNeRbJ9MTOUNSxjne9Srzyz5GzG7DHAojpMTW00uw\nZGw9N4dFyfVFdi8kGAxe8py+2uB58+Yxb968q7rO7bffzu23Z37hl6r/iEajGK6iqbTRaCSRuDki\nDNFo9JrrZoqKikZVzc1woL9HA2MsvU+y6SzqE3+rmU0BlJQjv/hNuhMqDPJnHAnvk5yzEGqWwIGd\nvFW2OL199QTHZe8tGlEJ+LXvVUUBVfrp7Axw+vTp9DEej4fOzk7y/K2YgTApA62syHA8pTsMio1Y\nQqCSiTYH/T4CnZ1D9j4NNgVRZ2QipaTRF2NPc4A9LUGOdoRIXKZFdbnLxPwyB/PLHVSX2nGYdcOr\n4UJKyfm2BMfqIvh6kzn7TGZNBE+aPnpFMEBvby8bNmzI+Q7Ly8tj/fr1FBcXX+bM64PFqHDbZA+3\nTfbQ6o/x5ikvG0/10hNJYhZJ/s+0d1nmaEwff05ORxR/Aqvh6iLX9d1vcbL7tfR4dtE9TMq75epu\nVkryGpowpBZYkyajlv47hIsHLo+BVXc42bM1ROd57Zl2tj6Az2tg8UrHkBhr9fUgfvrppwkEAkSj\nUTZs2MD999/fL1inGt0EC+/E1ZlKl+55h4hrXk5quhYdvpctjf8KaO2qZhXdRaiwAHNIi8Lbu3sI\nFo+tNkvDIoadTmc/wXopYdtHaWkp9957L2+++Sbf+ta3+MY3vnFN19HR0dEZbmTXedR/+yaEU99f\nnnyUL/0DYpAR4ZGEEALlk49yqqmLMy4tEmxGZdWky6fC5aRI5xtQUqmkPp8vvb3PDdWQ0GqIQ1LF\nII1Y0CZVElAsRiCGUbERVwUySwwjb45FzGvhZje3jCVVDraF2NUcYE/L5aO/NqPCvDI7C8odLKxw\nUOocuppAnWunuzPB0bow3R25IthogqkzrUyeYcE0StOh+6ivr+fNN98kFssYWc2cOZM1a9ZgNg//\n32G5y8yn5hfzsXlF7GnsZqrvaebYMlHY35+fxj+eWYZt/znWTc/nrpn5FNiuLEnOB4/ltFAa515M\ndcl9V31/9q5urP6MXuiZMB55HTI9zRaFpbc6OLwvzNl67XfV3ZFky8YAy1Y7sDsHv2Bmt9tZv349\nzz77LKqqcv78eTZv3syaNWv6HRv2LMXq34cp2oggiev8C/RWPpwjbCtcC/FYxuONNpKUMeq736C6\n8EO4m1pQpMQUiWAMRy7bdmq0MSw5OyUlFy+QnzJlSr9t7e3tvPjii+nx8uXLOXjwIO3t7Vd1HR0d\nHZ2RgAz4UP/1m9CbMoOy2lC+8L8RxWWXPW80IvIKeHvpH6XHSzsP44hdOgMIcsVwXkFmopAtht1u\nN8gESsKHKiURVBxZTtKqyYjVpj3eDAYb8eQFYjiZO0nWyfDd736Xe++9l3nz5nH77bfzwx/+8JLH\nfutb32Lq1KksW7aMKVOm8KMf/eiarjPcdIcTvF7fy+PvNvHJ353k/7zTxKsney8qhCfnW7h/biHf\nvn0CTz0wna/dOo71M/J1ITwC8PuS7NoS5L2NgRwhrBhg2iwLa+9yM2OudVQLYVVV2bJlCxs2bEgL\nYUVRWLNmDe9///tHhBDOxkSMOw3/kyOEn26r4ttnVpBEIRBT+Z/DXTz8Qj3/tq2Fht7oJa8VjHWy\ntfF76e/yfOtkllY+ghBXJ2UMkSjultb0OFBcRMzlvMwZg0NRBFULbcypyaSCB/0qWzYG8PYMzcJs\neXk5q1atSo8PHjzIqVOn+h8oFHwlH0am5J85cgarf0/uIUIwp/ie9Li++y0SQiWSl/H6sHf3MJYY\nlsjwlClTciK47e3tVFdX54ydTicOh4P29nb8fn/OPofDkV59vtx1dMDr9fLII49QV1fH3XffzRNP\nPDHct6Sjc9MiE3HU//q/0JaaGBiNKI9+DTFhbC7gJVXJ5mQhpCYva5q3I1/xIv7oTy55TraTtCfL\nSdrrzbhRu91uDPFeBDJjnpVVL5w0GrH0iWHFrolhkTXpkJfJdb2JuVnMLaWUnO2NsqMpwK6mAPXd\nkUseazcp1JQ5WFTpYEG544rtYnRuPJGwyvFDERrOxMi28BYCJk41M32ONb04NpoJhUK8+uqrNDc3\np7e53W4+8IEPXDI4NJyIZJi8lp9himaEcKDgdpZNuJVgkY+Xj/ekW44lVHjrtI+3TvtYMs7J/XML\nmVmUiTwm1ChbGv817RxtNXq4ZcKXMCpXaQ4mJfkNWW2UrBZ85f29ioYaIQRTZ1kpLvWw+c12VBWi\nEcnWtwMsXeWkoHjwcmzevHk0NzdTX18PwMaNGykrK+uXkZO0lBPKuwVH7yYAnJ0biDrmIg2Z93uc\nexE2YwHhRDfRpI9G305sBTXYe3qBlJFWRZlWyzQGGDb3p0ceeYQXX3wxnUL1yCOPpPf96le/Sq8m\nz5s3j1AolDbAqqurS7dVutJ1bjaeeuopHnvsMY4cOYLHo63gfOUrX2H16tU8/fTTfPWrX+Xxxx/n\n61//+jDfqY7OzYeUEvmrH8CJQ+lt4nN/hZhdM4x3dX052hHGG031Fo76qO6pR759BrnmLkRJf9dP\nKWVOZDj/EpFhj8eDIa5F1vvaKmXXC6smExZrnxi2EYsLyIoMCzV52bY3Nysj1dzyarmYMVoiqbK/\n2cem011sOd1Nu//SEagJ+TZWTi5g+aR8aircGMeo8dVoN5CLx1QO7uvh8H4/iUTuJ3rKdCcLlhbi\n9gxu8WKkvEeNjY389re/zfkenDFjBvfddx+2EdD3td/7FPcjjn4fkSWE1YkPYC9/PxOAz1aU8ekV\nki2nu3h6bwt1rZmfa2dTgJ1NARZUunloyQQWjnPzxrF/pDdyDtCcoz9Q9Q3KPTOu+j6V02cwhjTj\nRSkE1FRT5LpxnRvKyozYHUY2bmglFlVJxGH7piBr15dROWHwZST3338/3//+9/H5fEQiEd59910+\n9alP9TdSy38QWXcYEe1CUcMURbYhJz6Yc0hN+B62n/kFAGd8G6md/0FkUwsiGsWQTFKMQF6nz8aN\n/twNmxieMmVKOp25zxCrjwv7BGf3zco2wrrSdW4mvF4vdXV1aRHct23Lli3p1LWvf/3rLF++XBfD\nOjrDgHzjBeSWN9Jj8eFPoSxedZkzRj9bGzNZPUvjzRiQkEwgn3sS8WeP9Ts+HJLEotqk1mgCh0sT\nIVLKfmnSSuwskGmr5MgWw0YjVqv28DcabASTAkRWarSqS+GLMVLNLQeK9HshHKJo1ly6ursJx1X2\ntQbY0RhgV0uAYOziGQEGAXNK7CyudLK40kmFuy/VNEFvT/dFzxkLjASjvWtBVSUNp2McPxRJf1/0\nUVRqZPY8K3kFRmJx72C9CEfEe3To0CHeeecdVDXz97ts2TIWL15MMBi87OfzRpH9PolkgPzmn2KM\ntaX3+4vvJWxa2M8ccm4efOt9FRzvzOe5I11sb8x8d+xr9rHv+UPcOnkXlZ5N6e0Lyz6NKV561b8X\nUyhM0emzmXsqKyUQjUL00gtjQ01RURFGc5BltzrY/m6AWFSSTEjeeKWVhcvsVIwffJr72rVref75\n5wGttvytt96ipqb/orsl/048bb/WBq1v0WOuIWkqTO8vMy9BEb9ClXHO+09yvGknk/PcuNo7AEic\nbaDnOrWHu9HmljdHX6CbgMcff5xPfepTvPzyy+ltBw4cyFkg8Hg8eL1evF5vjmjW0dG5vsgDO5H/\n84v0WCxfg1h///Dd0A1AlZLtDRkxvGLxbNDaISL3vIc8dQwxdVbOOdkp0nn5xvRqdjgcTvfPNJvN\nWK1WDMG+yHBfmnSmZjiqGNJp0oqwEksqOTXDQtXTpC/GaDe3lDvewffsb9hYMZ/t5Qs5YKskxsUN\nahwmhdoKJ4vHOVlY4cCpOz+PeKSUnG9NcORAmIAv9zPszlOYXWOjpGzspLEnk0k2bdqUU2JgsVi4\n8847mTRp0vDd2GUQiQD5LT/BGGsHQKK19Im4F132vJlFNv529TgavFGeO9zFu2d9qBLKnKcpd2cW\nkfMstzK1oL8x1BVRVfIaGumTblGHncAwtgfy5BtYudbJ9ncChEMSqcKebSGkhMoJgxPE48ePZ+HC\nhezduxeALVu2MG7cOAoLC3OOizqqiFknYo6cQ5DE0fkHfOWfSO+3GF1M9CznTCqd+mT365QW/3Fa\nDFt9PpREAnUMtJgd/T/Bdeb3z/QO22t/8I/yBnTcuXPnaGho6Fcv7fP5+vUa83g8Fz1WR0fn+iCb\nG1B//M8gUxGMabMRn/qL697/cbg52RWhK6yJW5fFQPX8aYhFtyB3bwFAff6XGP768ZxzcsyzCi9t\nniWEwJDQtl0sTbojDg6jZpyjJgWqtIHICHOh1wxflKs1t9y+fTv33nsvoJlb/uhHPxpWc8snWjzs\nWPkNVHFxYVuUCLDE0MPSEhNzp1diHF+MMI4d8TSW8fUmObw/TGd7ruGQ1S6YVWVj3CTTmPpODQaD\nbNiwgdbWjNFTUVERd91114gNZoiEPyWEzwN9Qvh+Iu6FA77GBI+FL62o4GPzinj+yCnslhdQhPbs\nPB8Yz2/2L2fz2QY+UVPE7GL7Fa6WwdV+HlNEiwCrQgx5G6VrwekysHKti23vBLQe2BL2btf6Mw9W\nEC9btoyGhgY6OztJJpO88cYbPPjggyjZNb5CECj6AAVN/wWANXiIcPgscduk9CHTC+5Ii+FG704C\npR8jz2HHEgwh0GqHg8XDX0YwWHQxPAZ47LHHLpr63NvbX8j3tSTR0dG5/shQAPX7j0NUq1GisEQz\nzDKN/Qn41qyo8NJxTgyKQH7k08h92zQ35+MH+0WHvZdwks42z+qbCCpJTQyn06SzDLTaopJpQmC1\nKoSCKhI7yIz7pZB6mvTFGO3mlmaFfkJ4YqCVJZ2HWdp5iMmBFrKnv6rBCJUTEZOmwcRp2v8rJiLG\nQKRjrBCNqBw72N8cy2iEabOtTJlhwTCKewVfjPb2dl5++eWc7IoZM2awdu1aTCP12RH39RPCvtIH\niLoWXNPlCu0wpfDX9ES0Z2c47mTL2Y8gMXCwPcTfvN7AogoHn15QwsS8y5tomUIhnKloJoC/ooyk\n5SqNt64TNrvCyvc52fZ2AL9v6ASx0Wjkzjvv5De/+U263dL+/ftZuDB3YSJhnUDEOQ9roA4AZ+cr\n9Iz7c0g5dOfbJlFkn0Fn6ASSJKd63qKwYA2WoHaPWs9hXQzrDDN9adEXm2jk5eXlRFTg4gJZR0dn\n6JGqivrTf4HzqZV9swXlL/4O4RqZq/pDiZSSbVn1wsvHawYlorgMseRW5La3AFD/8ByGz38tfY63\nN6vHcN5l2ioBSkK7/sUiww0hlWmAxSoIBcFosCPJRIMVvWb4koxmc8vlq2t5d3Mzc4usLDL0sjR4\nmrLeo+A7DYGO/ickE9BwCtlwCnhN01pGE4yfjCaQpyMmT4eySoSip1HfSJJJyZmTUU4eiZCIZ+0Q\nMHGKmZlV1rRJ3lji2LFjbNy4kWSq/ZsQgpUrV7JgwYIRG/kWySDi6H9cIIQfJOqaf03Xk1Kyp/UX\n9ETOAqAIA7eM/wLBaB5vnvKmLR92twTZ03KGNVM8fHxeEcWOiywUqCp5DU1Z6dEOgkWF/Y8bRixW\nheVrnGx9O6Cl/w+RIC4sLGTp0qVs27YNgG3btjFlypR+QbFA4ToswSMImcAUbcISqMv53c0oeD+d\noROA1mZpztS78AiBkBJTOIIhGh0xiwvXii6Gr8DlUpWNRiOJxND0CLtWNm3aRF1dHXPmzAG0CMry\n5cv52te+xoQJE/qJX6/X2y91WkdHZ+iRLz8NdbvSY/HQFxHjJg3fDd1AzvREaU+1zNBa02TS2cS6\nj6TFMPu3I1sbEeXjiUYk8VjKPMsINkdmonthWyXIRIbDKZFry6oZPhPQvpe1dipJDIodmZUaLXQt\nfElGs7llbaWDn314KjMnlKfMVzITOun3QeMp5LlTyHP10HAaOtr6XyQRhzMnkGe0yZ8EsNhgkhY5\nFpNnwuTpkF80YsXJaEZKSXtLgiP7wwQDueUMxWVG5s634fKMvYUJVVXZtm0be/Zker5aLBbWrVvH\nxIkTh/HOLo9Ihshr/ikipi36DlYIA5zueYezvZvT4/mln2Ba4WymFcJH5hTym7pONp31IdE+n2+d\n9rL5rI8PzsrngapC7KbM34erLSs9WlFGRHr0xbBYFVZcIIj3bQ9hMAjKKq89G2DhwoWcPHkynS69\nceNGPvKRj+R8d6mmfEKeFelWS47uN4g6qyGVZVPprs1ps9QUOkChqwxbapHa1usjUFo8iJ9++NHF\n8CjniSeeyOkdXFlZybZt29JmWQ0NDel9fcZZI/mLVUdnLCAP7ET+/un0WNz5YZTFtwzjHd1YsqPC\niyqdmLJa04iKCVCzBA7sBED+4TnEZ7+ILysq7PIYch7WF7ZVEmoURdUmOKGUyLViTR9zwquJYUvK\nUdqg2FCzxLCii+ExidmgUGi/eLRQuNwwZwFiTiZtUwYDWmT4bD2cq0eePQld5/ufHA1raf3HD2Yy\ndT35MHkGIvUfk6cjrAOvYdTpj9+X5PC+MB1tuUEGh0th7nwbJeXGMbkAEY1Gee211zh79mx6W35+\nPh/84AdHdGlbuo9wjhB+YFBCuDt8lr1tv0yPJ3luYVpBZqGt3GXmf62s4CNzCnhyfwd7WrRU8rgq\nee5INxtPe/nEvGJun+rBGongPJ/JCPFVlJG0DN6t+XpxoSCWEvZsDbL0VgdFJdcmiA0GA7fffjvP\nPPMMUkqam5s5dOhQv2zSUP4abL5dKGoYY7wbq38/EXctoLWympJ/K4c7NIfqM72bmJn3J2kxbPV6\ndTGsM3LxeDzMmzePp556ik9+8pM8/vjj6T6QOjo61wfZ0aalR/cxuwbx4U8P3w0NA9n1wivG9+/h\nqKy/H7VPDO94B3nvx/F5M8e583IjP/3aKiUy1w8hQeaK4TOBOLGkmnaUNii2nLYkihx7E2qdq0c4\nnNrnM6vXt/T70sJYnj0JZ0+Ct6f/yd4e2L8DuX+HJpCFgIoJiCkzYcpM7f9l4xDK2EvlHWriccmJ\nwxHOnIiSXc5vNMHMKhuTpplRrlMLl+HG6/Xy8ssv09XVld42adIk7rzzTiwjOPVUqFHyWn6OKdoM\n9Jll3XfNNcIAsWSQrY3fQ5VaVpHHMp7aiocuugAyKd/K368ZT11bkCf3d3CyKwKAN5Lk+zvb+MPx\nbn48KZ6THh0qLLjme7tRWKwKy29z8t7GAKGgiqrCzs1BVtzmJK/w2iRbSUkJCxcuTGcdbNmyhUmT\nJuHK6q8sDVZCeatwdr8OgKP7LSKu+eno8OS8VWkx3B44SE9pkjxAAOZQGEMsRtI8chcaroQuhsc4\nP/zhD3nkkUf49re/zd133633GNbRuY7IeBz1h09AOGV8UlCM8vBXEIaxl9Z3KRq9UZp8MQDMBsHC\nCke/Y8TUWTBjLpw4DMkk8o2X8E38aHp/thhWVTXHqMntdqPEG9PjsExiwoyCJjoiKkRVQYsvlu41\nrCgmLTKcmhnpYljnUgiXG6oWIqo0oxkpJfR0wdkTmkA+fQLO1mdM8fqQEprPIZvPwebXNYFsd2jR\n46mzEVNnwuSZCJsePe5DSknT2ThH68JEI1kqeIzXBffR3NzMK6+8QiQSSW+rra1l+fLlua6/Iw01\nhqflvzFFM9/DcsqniCizr/mSUkp2NP+IYFyL5BoVKyvHfwGjcvkFgXllDp64087msz6e3N9BZ0jL\nKrjVFMad0BZANffoyhGZHn0xrDaF5bc5eO+tAJGwJJmA7ZuCrHyf85pLBJYuXcrp06fp6ekhHo+z\nZcsW1q9fn3NMOG859t7NKGoYQ6Ibq39fuiWWw1xMiWMO54NHkEjO+LdR4arC6teMEq1e36g20tLF\n8Bijubk5Z+zxeHj66acvcbSOjs5QIn/3UzhXrw0MRpQ/+xttcn0TkZ0iXVvhwGK8+KROWXc/6onD\nAMjNr+Fz3Zfel/3A9/v9miABHA4HRqMRJaxFiuNSJYGKi8yEyZvKtm7yxZhutWmvJUxaZDh1WV0M\n6wwUIQQUFEFBEWLhCgCkmoTWZuSZ43D6uFZf3NwAF7bsCgXh8D7k4X2p6LGiuVdPmwVTZyGmzoai\n0jGZ+nslersTHNobpqcrmbO9oNhA1QI7nvyxvYB49OhRNm7cmM5YURSFtWvXMnv2tQvKG4JM4Gl9\nCnPkTHqTv+geHCWroLPzmi97rOsVWvx70+MllX+Ky1I2oHMVIbh1sodl4128eLSbPfWd/Elx5rP4\nn+0KScXPh+eYckp2RjJ2p4Fltzp5760A8Zjmp7H93QC33O7CdolSkMthNBp53/vex7PPPgvAyZMn\nqaqqYvz48eljpHKx6PCCrOjwas4HjwBaqvTC/BUZMdzr1cWwjo6Ozs2Oumsz8u0N6bF44HOaE+1N\nxs6mTEudZRdJkU5TtRDGTYKms6ixOAG/CqnorttzJSfp3LZKVmzpY/x9Ytgbo3q8FoUTwkhClWkx\nbGB0TIh0RiZCMUDlBETlBLjlDgBkJKylV586hjytiWT83twTpQpNZ5BNZ+CdVzWB7CmAabMQ0+Yg\nps+BcZPHdCZJLKq1Sjp3Kpaz3WoTzKmxUTFhbPULvhApJdu2bWP37t3pbTabjbvuuouKiophvLMB\nIJN42n6DJXwyvSlQuJ5w3nL65/8MnI7gcQ62/y49nlG4jvHuxVd9HYtR4cGqQh429WKOaKnWh0OC\nX3UIkh2dvH3Gx58tKaWmbDB3e+NweQwsu9XB1rcDJBMQCUt2bgqw4n0uTOar/4xUVlYyc+ZMjh8/\nDsA777zDxz/+cQxZ3zfhvBVZ0eGenOjwOPci9rRaSagR/LE2WsydmVTpYAglHkcdqa2/roAuhnV0\ndHQGiWxrRj75H5kNtSsQ77tr+G5omOiNJKhP1W4pAhZVOC95rBACcedHkD/9LkF7GTIlUG12kfOg\nv7iTdG5bJYvM1Av7ktq5jb5oOsVSEUaSSRVSz2mDHLtiQ2d4EFYbzKxGzNSMaaSU0NGGPH0MTh1D\nnjoGTef6R4+93bBnK3LP1pRztVWrOe4Tx1NmIUZw7ehAkVLSeCbGkQORtGs8aMHyqTMtTJ9txWga\nuyIYIB6P88Ybb1BfX5/eVlhYyAc/+MGR3+VDqrjb/wdLKjIIEChYSyh/9aAuG0342db0n+nWd4W2\n6dSU/tE1X8/R2YUj1ZtYBX4WsJJES51u8cf4+42NrJ7o5nO1JeTbRr4Eyiswsmilg52bgkgJPq/K\n7q1Blq5yoBiu/vNyyy23cPr0aeLxOD09Pezfv5/a2tr0fqlYCOWtxtn9GpAbHTYqFia4l3G69x0A\n6v1bmOZYgyUYRKClSodGWNuqgTLy/xJ0dHR0RjAyHkf98Xcg9QCmuAzl0385pqMbl2JvSzDttjur\nyIbTcnnRKWpXIp/5CT7HhPS2y5lneTxaj2ZDKjIcTjtJZ8RCdmTYYhEgtMhwMpmZgCso5Dj16OgM\nMUIIKClHlJTDsjUAyEgIzpxE1h9FnjqqRY/DodwToxE4egB59ID2WTIYYOI0xPS5iBlzYdpshP3S\ni0wjEW9PgoN7+qdEF5cZqVpow+ka+4tTwWCQl19+mfb29vS2iRMnsm7duhFtlAWAlDg7f481sD+9\nKZi3mlD+2kFeVmVH8w8IJzSDOrPByYrxn0cR1yZNlFgMV2vm/Q2WlvCleSXMOtnLUwc6CMW158Wm\ncz72tAZ4aEEJd0z1jPhndUmZiZrFdvbv1L4rOtsT7N8VYsFS+1Xfu8PhYNmyZWzerLWu2rlzJzNm\nzMgx08rUDof6RYcn569Ki+EG33aChXdhCWoeKboY1tHR0blJkc89qfUsBTAaUf7sMYR9dKRhDTW7\nmzMp0osqrzxhFyYTYsVa/KczqVVXcpKGTGS4L03aQnZkWPt/iz+GClgsgkTCRDKpkCSJAYMuhnWG\nBWG157hXSzUJzQ3I+qNQfwR58gj0XFB3mUxqdcmnjyNfe04zARo3CTGjCjGjCqbPHbG+BPGY5Pih\nMGfqY5D1cbPZBXMX2CirHNsp0X10dXXx0ksv5RgB1tTUsGrVqpFtlJXC0f06du/29DjsXkKwcN2g\nDamOdW6gNVCXHi+tfAS76RrFlJTkNbWgpGqw4xYL/tJiDIrgrpn5LJ/g4ud7zrPpnPY8CcZU/nNH\nG++e9fH5JWVUuEe2E/L4yWbCYZXjB7XMq+ZzcRzOKDOrrFc4sz/z5s3jyJEjdHV1XdRMSyoWQvmr\ncHZp0WF7z2YiroUgFApt03GZy/HHWkmoEU4rpyhA+/6x+AOIRBJpHH2LW7oY1tHR0blG5MHdyDdf\nTI/F/Z9DTJg6jHc0fCRUyb7WYHo8EDEMIFbfif98pgbNZQhBVg1wdpp0X2S4r7VSX5q0VWaOjwpt\nchlLSjqCcSxWhVDImCOGAYQuhnWGGaEYYPxkxPjJsOYDAMiuDuTJw3DyiPb/1sbck6SExjPIxjPI\njb/XtlVORMysRsysgulVwy6OpZS0NMY5vC/XJTqdEj3HitE49kUwQENDAxs2bCAW02qkhRCsXr2a\nmpqaK5w5MrD3BENrFwAAIABJREFUbMLR8056HHHW4C++d9BCuCN4nIPnM3XCs4rupmIQ/YmtXh9W\nX2axwTu+ErIWGgpsRr58SwVrp3r4r51ttAW0muJD7SG+8MoZPj6viHtnF2AYwS28ps+2EA6qNJzW\n/pZOHI7gcitUTLg6IW8wGLjttttyzLRqampyatbD7mXYu99BkVGM8fOYQyeIOWYhhGBy3irqzv8W\ngOOBd5lnfxBzKKylSvt8hAvyh+YHvoHoYlhHR0fnGpC93ag//7fMhnmLb8o64T6OdoTSaWjFdiMT\nPAN7QIvSCvx5mfRJ14n3YM496fHlDLTC9E+TVkxGSG1v8sWwWIVWM5xQSJDAjHZfQtXFsM7IQxQW\nIwpvg2W3Aam+x6eOIE8cRp44rGWhXFh3nGrpJN96WRtXTkTMmqfVL8+Yi3BcxshuiAn4kxzcE6az\nPZGzvajUSPVCG0736IsaXSuHDx/m7bffTjtGm0wm1q9fz6RJk4b3xgaI1bsLZ9er6XHUPhNf6QPa\nqsYg0OqEv5+uEy6yz6C65L4rnHVpRCKJp6klPQ4WFhBzXjw7a365g+/dNZmnD3bywtFuVAlxVfLf\n+zvY2ujnC8vLmeAZmWnrQgiqa22Egmr687VvZwi7UyGv4OrkXGVlJTNmzODEiRMAbN68mQcffDCd\nqSENViKeJdh7tXRqe+9mYo5ZAEzKu4WD53+HRHI+eAx/gZnCkFYmZvXqYlhHR0fnpkCqKurP/iXj\nFuspQHnoizdFyt+l2N2cGxUe6HsRi6pEjNpkXUnGsG19CfnBuxAGA7FYjHBYe8gqioLD4UCoURQZ\nBSCUiu5mp0mbLSZA29/ojTLZZkMIA8mEgQSZCbq4UFDo6IxAhMsN85ch5i8DUnXH9UeRJw4hjx/S\nWrklc2tx0+J44++1CN74KZo4njUPps/RzL6GmGRSUn80Sv3RCGrWR8tiFVQtsFE+/uZIiQYtMr59\n+3Z27dqV3uZwOLjnnnsoLi4exjsbOJbAIVwdz6fHMetkvGWfSLfZuVaklOxs+QnhRDeg1QkvH/fo\nNdcJA7hb2zAktO/2pNGIr/zyLZksRoXPLChh1UQ3/7GjlVPd2vPiZFeEv9pwlo9VF/HhOSMzSqwo\ngtoVdra8GSDoV1GTsGtL8JpaLq1YsYL6+npUVaW9vZ2TJ08yY8aM9P6QZwW23vcQqJjDpzFGmkhY\nx2Ez5VPimEN78DAgqRcnKaQE0FKlUdWcqPxoQBfDOjo6OleJfONFOHpAGwiB8sd/NeypicPN1dYL\n9+HzZmbOzmAzSs95OLQHapb0iworioISy6TChdAmK9YsN2mbLSOGm3wxZtm19kpq0pR2FdU26JFh\nndGHsNqhqhZRpTnAymgETh1FHj+EPH4Qzp7MFcdSQsMpZMMp5OvPa4Zck2cgZs0jtnQ1srAMMch2\nKB3tcQ7uDhMMZKlgAZOnmZlZbcM0xl2is0kmk7z55pvp9jUARUVF3HPPPTido8P4zBQ6hbvtaUSq\n0DtuqcBb8WlQBt8252T36xf0E3742uuEAXMgiKOrOz32jqsYcM3qlAIrT9w5ieePdPH0wU4Sqlbu\n88sDHexs9vOl5RUjspbYbFZYssrBljcCxOOSSFiya0uQlWudGK7CYdrtdjN//nz27tV+H1u3bmXK\nlCkYjZo0VE15RJ3VWAPaXMfeuxlf2ccAGO9ekhLDcCK0lVrzAxhjcRRVxRwKERslf+t96GJYR0dH\n5yqQjWeQL/wyPRbrPpI2xLlZaQ/EaPJpdUxmg6C61D7gc/29WSnSAa0+Un33DxguIoYBlGRmW6bP\ncEYMux0WQBPmTd4Y1gJthTqZNOVEhlEviKbp6IxChMUKcxYg5iwAUv2O648ijx9MieP63LTqZFLb\nX3+UnpefAbNFS6WeXYOYPV9LsR5gVCcaUTmyP0zTuXjO9rwCA/MW2fDk31xTzGg0yiuvvEJTU1N6\n28SJE1m/fj1m88gTVRfDGGnG0/pLBNr3Y8JUSG/5Z5HK1Rs1XUh3+CwH2p9Oj6cX3Emla+G1X1BV\n8TQ1p4dht4uI5+oWpY2K4IGqIpaMc/G9ba3Ud2sGVcc7I3xpwxk+u7CEddPzRlxWg9NloHaFnR2p\nlkveHq08oWax7arudfHixRw5coRIJILP56Ouro6FCzO/k1DeqrQYtgQOocR7UE35VLoXsaf1v5Go\ndIZPEHSa8cS07wGLL6CLYR0dHZ2xiozHUH/yz5BKyWLiNMQ9nxjemxoBZKdIV5fasRgHniLl82ZE\nqTslhjm0B9nVcQnzrIwYDkvt95CdJp3vytR7NfmimK3axCCZNJEUyYyrrZpb06ijMxYQVhtULURU\naRNaGQpqZlzH6pDH6qDpTO4JsSgc2os8tFf7aLg82uLenPmI2fMRBUX9XuNSPYONJphdbWPiVDNi\nBKaYXk/8fj8vvvgi3d2ZKGVVVRW33XbbqHCMBjDEOslr/Xm6DCVpcNNb8cdI4+CFTTwZZlvTf6Km\nvrPzrBMH1U8YwNnRhSmi3auqKHjHVVyzsdfEPAtP3DmRZ4908XRdJ0kJ0aTkB7va2dkU4IvLy8kb\nYX2Ji8tMzF1g49BerZSo8UyM/EIDE6cOvObZYrGwZMkSNm3aBMCuXbuYM2cOVqv2TE1YK4nZpmIO\nn0KgYu99j0Dx3ViN7lSq9CEAGgwNVKNF+K1+P34un6o+0hhZv1mda2LFihWcO3cuPVm85ZZb+NGP\nfnTFfTo6OleHfO5JaGnQBmYzyp/8L4RR/xq91hRpAF92ZLjADA2AlMidm/DZMxPxjHmWliYtpSQi\ntWh0dpq0y27GalSIJFQCMZWEkkr1U3PTpGUydlX3qaMzGhF2B9QsRtQsBkD6vchjB+HYAZTjB0m2\nt+Se4Pcid26CnZs0cVw+HjF3AWLOfJhRRTBqom53iK6O3MyKivHaxNxqGx3Cbyjp6OjgpZdeIhjM\nLAquWLGC2traERdRvBRKwk9ey89QktrPoCo2eis+h2oaGjOkva1PEoi1AWBUrKwY9xcYBpF2bYjG\ncLZlegr7y0pQBxl9NyiCB6uKWFTh5LtbW2j0xlL3HuQLr5zhC8vLr/r5dr2ZNM1Mb1cinZ1xaG8Y\nd56B/MKBz0uqq6s5cOAAXq+XaDTKzp07Wb16dXp/KG8V5vApAKy+XQQL1iINNsZ7lqbF8MHoe1Rx\nDwIwhSMo8TjqIMsvbiT6LG4M0Nvby5EjR9KCd6D7dHR0Bo48sh/55kvpsXjgc4iyccN4RyODSELl\nYHsoPV5UMfDJglQl/uzIcM0s2K+1i5E738W74PbMvpQYNqR6DEdQ00Fea1YrJmkyMs5tTqe7dcW1\nSUJCNaJmiWE1mZvaqaNzMyBcHsTiW2DxLRQVFdFx9JAWMT6yH3nsAAT8uSe0NiJbG0lufIVTU+7h\n1KQPomaZHdkcCtW1NkrLR8/EdyhpaGjglVdeIZ76nlEUhTvuuIOZM2cO850NHKFG8LT8HEOiBwAp\nTPSWf4akpXRIrn+udytnvVvS49ryh3BZBhE5lBJPcwtKykAxbrUSLO6fwXCtTCmw8t31k3hqfwcv\nHtPeE280ybfeaeKumfk8tKAYs2FkLPoIIaheZMfn9ePrVVFV2P1ekNXvd2GxDuweDQYDK1euZMOG\nDQAcPHiQBQsW4HJpxpYx+wwS5lKMsXYUGcPq30s4byXjXLXs4edIVNojxwjb78ce0hYQLP7AqHKV\nHhm/TR0dHZ0RjAwGUH/+r5kN1YsQt66/9Ak3EQfbQsRTZlQTPRZKnAOfFAeDatrrx2IVWBfVgim1\nut90Fl93V/rYC9Okw311kBIsWa2VVIOBcVltndoifWLYjEpGeEtVF8M6OqK4DGXV+1Ee+SrKP/8S\n5Rv/grjvMzC7Rst7Bro909my9FucnPzhtBAWapIprW9ya8eTFDdtRwb9l3uZMcnRo0d56aWX0kLY\nbDZz7733jiohjEzgaX0KU6xVG6LgLfsYCdvEIbl8IHae3a0/T48nelYyKW/loK6Z3VNYAr3jKwfd\n9/hCzAaFz9WW8g/vG09+Vnr0K8d7+MofztHkiw7p6w0Go1GwaKUDk1l7DyJhyd5tIeRVmEROnTqV\n0lJt8SOZTLJ79+7MTiEIeZanhzbvDpASi9FFqXNuenursSP9b4tvdH0f6JHhK/C9731v2F77C1/4\nwoCPfeSRR6irq7toGvTl9uno6FwZ+ZsfQm+qFszlQXnoL0dN+tv1Zm9rJkW6tvLivR0vRU5UOM+A\nsNoRNUuQu7cgAZ8/80DNGGhp20IpYWvBgki5SquKAkIw3p0Rx83BGJVGC4moiaRI6DXDOjqXQCgK\nTJiKmDAV1t1HLBDh2NZ2zvXkZpZ5vKeoPvqzdI2/3Po6UigweTqiz+l64tQBG3GNNqSU7Nmzh61b\nt6a3OZ1O7rnnHoqKhi5Ced2RKu7236ZTYAH8JR8m5pg9JJdXZYJtTd8noWpZOk5zCbXlnxnUNUUy\niac5k9ofKiwg7hi4YePVMr/cwfc+MIl/39HGzibtWXe2N8qXXz3Lny8p47bJIyPr0uE0sGCZnZ2b\ntDT3zvMJTh6NMmPuwIzPhBAsX76cF154AdB6ZC9cuDC9CB11zUftfBVFRjHGOzCFTxO3T2W8eylt\ngYPaOcldTEXL5rL4A5qT/SiZJ43Nb6qbkOrqao4cOUJeXh5f/epXB7xPR0fn8sg9W5E73k2PlU99\nHuEePek/15v9rZk6uQXlVyeGc+qFPVo7DLFEq1WKGEwkUsLVbDanDT0ujAxnm2epBu0a2ZHhJm8U\nq1UhqZqROZFhXQzr6FyKtuY4774VzRHCBoNkjqeBlbyNW/bmniBVOH0c+dKvUb/9ZdS//gzqz/4F\ndddmZDDAWEFVVd59990cIVxYWMgDDzwwuoQw4OzcgDUlZAAChXcScS8asusfOv883SmhLTCwbNzn\nMRkG1+Pa1daOIT7wnsJDgdtq5GurK/mzxaWYUsZwkYTkX7a28r1trUQTI6NnfWm5ielzMgvBxw9H\n6Dw/8Ofc+PHjqaioALS/8+w+2VKxEHEvSI9tvh0AVLpqEWjP3VPRvSRS5pmGZBJTKHztP8wNRo8M\njwFeffVVJk7UUlo+//nPs2LFCp544okr7tPR0bk80teD+tT302OxfA1iwbJhvKORRXsgRos/lSJo\nEMwuvrqJjt+XmUS4Pam12apasDnwZ63V9tUuQUYMX6ytkryYGPbFsHgEPd0mVLJMs5K6GNbRuZBo\nROXg3jCtjbllBKUVRqoW2rE78oF5SDUJZ+s1F+pDe7T+xjIrLdPvRW57G7a9jVQUmDoLUb0YMW8R\nVEwYlZk1iUSC1157jVOnMpHUyspK7r77biyWgTv4jgRsPZuxe99Lj0Oe5YTybh2y658PHuVo5+/T\n4+qS+ym0TRnUNY3hMI6OTOmMr7J8wD2FB4sQgvUz8plVbOOJzS20+LVnycbTXuq7Izy2qpLKEdCT\neMZcK10dCbo7tM4J+7YPvH64Lzr87LPPAloZQG1tLfn52uJ/2L0Uu3c7AJbAYZSED4vRTZlzLq2B\nOhDQYfJRntB8Qyx+/3WN2g8luhi+ApdLVTYajSQSwz+h6hO7AHl5eQB4vV48Hs9l9+no6FwaKSXq\nL/8LAqlWPvlFiI8+PLw3NcLY15rbUsl0laYi2WnSTncqMmwyIWpX4K87kN7XJ4aFGkVJOUiHUxPv\nbCdpNTUxKnVk6pa7wwksJQqqakGSacuk9xnW0ckgpaTpbIzD+3PbJZktgqqFNirGm3IErFAMMGUm\nYspMuOdjyIAPeXif1qbp8F7wZ9qioapae6eTR5DP/TcUliCqFyHmLYZZ1QjT8IuIKxGNRnn55Zdp\nbs70tZ0+fTp33HEHxlHWUcDi34+ra0N6HHFUESi6e8hSWqOJANubfkBfTUqpYy6zij4wuItKSV5T\nC313GHU6COfd+Hns5Hwr/7x+Ij/Y2c67Z7XnyblU2vQXl5ezfILrCle4viiKYOEyB5te9xOLSiJh\nyb4dIZaudgxoAaqyspLx48fT2NiIlJIdO3awbt06AJKWMmLWSZgjZxGoWH27CBWsZZx7qSaGgZPy\nCOUsAcDqCxAoGxoTtuvN6PoE61yRhgat7cvFxO7l9uno6OQit78D+7enx8pn/hJhH1ltFYabfYNI\nkVaTkqA/Exl2uTMr/GLJavzHjmf2pcRwdo/hkNCOv1iatMmg4LEa8EaSqBKkUZJQLUiRJYB1Mayj\nA0AokOTA7jCd7bmL++MnmZkz34rZMoCoktONWHorLL0Vqapw7hTy4O6LR427ziPf2YB8ZwOYLVpP\n43mLtf88I68EJRAI8OKLL9LVlYlKzp8/n1WrVo26CLcpdAp3+/+kxzHrJHylD4IYmqpJKSW7W39G\nOKF5bJgNTpZWPoIY5PXt3T2Yg1rXAinEoHoKDxa7ycBfrSinqtTOj3a1E1cl4YTK/93czIdmF/Dp\n+cUYhrHPts2uMH9ppn64oy3B6eNRps4aWP3w8uXLaWzU/ABOnDjBokWL0iUAYc9SzJGz2uv4dhHK\nv41K1wJ2I5BIDsd3sIolWoulUAiRSCBHwWKRXjM8ytm0aRMf/ehH8Xq1VdjHH3+cRx999Ir7dHR0\nLo3s6UL+JmM2J25bj5i74DJn3HwkVUldW6al0vyrFMPBgJqeH9vsAqMpa/Iwswq/My89dIe1msO+\nHsMA4VSMwHoRMQxQZM9Eh+OKRJUWQBfDOjp9qKrk9Iko7/zBnyOEbQ6FZbc6mL/UPiAhfCFCURCT\np6Pc8zEMX/snlH/6b8Rnv4ioXQm2C9ImY1HYvwP55H+g/vVnSH77r1Ff+S2y6SxSDtwN93rR2dnJ\n7373uxwhvHLlylEphA3RNjxtv0SkvgcT5hK85Z+GQfT7vZAzvZtp8mVqTRdX/DG2QfYqVhIJ3C1t\n6XGgpIiEdWDC7nohhOD90/L4xzsnUpKVifTC0W7+91uNeCPDmzVaWm5i6qxM6v7RgxG8PQN75pWV\nlTFp0qT0OLt2OOqsQjVoz3pDwos5eByL0UWhfToAEREmYNZ+dkHKSGsUoIvhUc7q1atZvXo1y5cv\nZ8WKFVRXV/P1r3/9ivt0dHQujpYe/Z8QTkU9i8sQ9z00rPc0EjnRGSYU1yK7RXatt+/VkJ0i3Wee\n1YdQDPiLytNjZ6NWo6ckM5HhMP3TpGWOGDZmHauCMOX0GdbdpHVuZvy+JBueb+bwvnC6vRnAlBkW\nblvnorhs6ASScOehrFiL8mePoXz3KZS/fhxxx71QWtn/4DMnkC88hfoPX0D924dRn/4x8lgdMnnj\nF6/a2tr4yU9+gj/lat/XQ7i2tnbUCWEl4SWv9RcoqtYSKGlw0Vv+WeQgDa2y8Ufb2df2ZHo8JX8N\n44bAkMvV0oaS+v0nTCYCpSWDvuZQMbXAyr+sn8TirE4KB9tDfPnVs5xK9bofLmZVW8kr0J6JUoW9\n24MkEwNbYFq2LOONcvLkSXp6tH7LCCNhV+Z3avNp2XMVrkywoFFpTP/bEshkj41kRn7sWueKPPro\no5eM+F5un46OTn/ktrfhYKbHnvKZLyCsQzdhGCvsa8s85OaXD6weKRu/L0sMu/uboAQsDohq4tdZ\nfxAZj+dEhiOyr7VS/5phgKKs1Xp/MoEijKgyk5Yt9Miwzk2Iqkrqj0U5eTiCmmWC63Ir1Cyxk194\nfaeFwmiEmdWImdXw4B8j25qRdbuQB3ZC/RFybqrrPHLj75Ebfw92p5ZGPX8pVC1EWK5vZPDs2bNs\n2LAh7QtjNBr5wAc+kBMxGy0INYKn5RcYElqWoCrMeCseQjXlXeHMgZNUE2xv/j6JlNh2mctZUPbx\nQV/XFAzh6O5Jj73jKjRDthGE02Lga7eO43eHuvh1XScAHaEEf/P6OT6/dPjaLymKYMEyO5te85NM\nQsCncrQuTNXCK5talZSUMHHiRM6dOwfAnj17uP12rW1S2LMUe+8mBBJzqB4l3kulawF17c8AcDy5\njzlMBsCsi2EdHR2d0YXs7UI+8+P0WLzvbsTMqmG8o5HLvpbMQ27hVaZIA/i9WfXCnv6TG38s4/zs\nCnjh+EEMZZnIcCRlpJVjoHWJyLAvlsQsjDmtlYQcGe0wdHRuFN6eBPt3hnNamgkFps+2Mn22BcVw\n46OdoqwSUVYJ7/8QMuhHHtwDdbu0WuNwpgyDUAC5/W3k9rfBZNbqjOcvRdQsQbiGVmwcO3aMN998\nEzUlzK1WK/fccw9lZde/jc+QI5N4Wn+FKaalGUsUfOWfIGGpGNKX2X3u13SHTwOgCAPLxj2KURnk\ngoWUeJoyhmURt4uoxz24a14nFCH4o+oipuRb+e7WFkJxlVhSa790rjfKJ2uGp47Y6TIwd4GNut1a\nm6MzJ2OUlJsoKb9y5seiRYvSYvjYsWMsXboUl8uFasonZpuGJXwSgcTq34cr/zac5hICsfM0ybOo\nSBQEpmgUJZ5ANY1suTmylld0dHR0hgkpJeqT/wmhrPToj3x6eG9qhOKPJqlPpYApAuaVXYMYvkxk\nOBaLEYmkrq+q2BMx5IEd6ciwlJJIKgJhIVMXdama4e5YAkWYUGXmNRVVF8M6NwfJpOTYwTCb3wjk\nCOGiEgur73Axs8o6LEL4QoTDhbLsNpQ//QrKd3+J8lf/gFhzF+Rf0L83HoMDO5H//e+oX/4Mye98\nDXXj75FdHYO+h3379vH666+nhbDH4+GBBx4YpUJY4jr/POZwfXqTv+QjxOwzhvRlOkIn2NPwTHpc\nVXI/BbZJg76uvasbc1h7Dkgh8FYOrYC/Hiwe5+Sf1k3KKRt67kg3//+mZkLx4clGmjDFTGlFRozu\n3xkiFr3y86+ysjKn7/CePXvS+yLuhel/W/17EECFU0uVTogEvabMYrk5OPKjw7oY1tHR0SHlHn1h\nevR1TsUbrdS1BVFTpUfTCqy4LFfX6/FCJ2nnBWK4r0YPwBWPIAC5f2faTTqGRKb6DNvICPHsmuHi\nrMhwVzSBEEaS2WnSI8CcR0fnetPTlWDT635OHommDesUA8ypsXLXfeNw592YPq1XizCaEHMWoHz8\nEZR//CnK330XcdeDUDkx90CpwolDyKd/jPo3f0zy//tfqK/+D7Kt+eIXvgRSSrZu3crmzZvT2woL\nC3n44YfTfVZHG/aet7D5MwImULCWiLt2SF8jngyzo+m/0t/HJfbZzCwcZBslUqZZrRnTLH9pMUnL\nyG/BBVDpNvOddRNZVJF5Nu1qDvDYa+do8d74OmIhBDWL7Vis2oJXNCI5tDc8oHMXL16c/vfhw4cJ\nhbRsjahjLqqiLUQb412YIudy6obPyswCzGhIldbFsI6Ozk2P9PYgn85Kj15zl54efRmyWypdrYs0\nQMB/GSdpLhDDybj2j94ulIjm6BohI2qtZOq5L1UzfD4cQ1EurBm+6tvW0Rk1JBOSIwfCbNkYIODL\n/LEXFBm49U4XU2dZUYax/cvVIIRATJyG8qFPYvjmv6M8/gPEA5+FabP7t9c5V4987knUb/w5yW/+\nJepLv0Y2n7usM7Wqqrz11lvs3p1ZDC0vL+e+++7D7R6ZablXwuLfh7P7zfQ47KollL92yF9nb9uT\nBONanaxJsbOk8k9RhqBNk2aapf3dJsxmAiXFg77mjcRu0uqIPzy7IL2twRvj4WcOcKxjYEJ0KLFY\nFWoWZ2qFmxvitDbFLnOGxoQJEygp0QzLkskk+/bt03YoJqLOmvRxVv9eih0zMSnaa5yRJzKvrYth\nHR0dnZGP+usfQijVAqCoVE+PvgxSykH1FwYI+C7tJA0XiGG3K/1vJan9jsIyWwxfvGY432akb5rc\nmYoMq1mp0YoeGNYZo3R3Jnj3dT+njkVJma5jMELVQhsr3ufE6RqZ0eCBIkoqUN7/YQyP/SPKd36B\n+NSjMHeB9kNm03wO+funUb/5l6h//yjq808hG8/kCONEIsGrr77K4cOH09smTZrEhz70IazD3L7n\nWjGFTuNufzY9jtmm4i/50JD35W307uBs75b0eFHFQzjMRZc5Y2CYgsF+plmMMNOsgWBQBA8tLOGL\ny8sxphaeesNx/u7NBrac813h7KGntMLEuEmZReK63WGiV0iXFkKwaFHGPbquri5dwhR2ZVKlLYE6\nFKlS5qwGoFU0o6a+fEyRCCIxsrs3jOyKZh0dHZ3rjNzzHuzdmh4rn/4L3T36MjT7Y3SGtAeb3aQw\no+jq3yv/FcSwz5eZKLjKx8E+EGYFxaA9uLPX1S3y4jXDRkWQbzPSHU6QAAyKKSdNWpGjIyqmozNQ\nEgnJ8YMRTp+I5mwvKjFSs9iG3Tm6RfDFEJ58xOp1sHodMhRAHtiF3LsNDu/Vaov7aGtGbvgtcsNv\noaQCUbuCeM0yXjlwiKampvRhs2bNYu3atRgMo/O9MsTOX9BLuBRv2SdBDO10PxTvZnfrz9PjGSVr\nmOBZPvgLS4mnqSU9DLvdRLMWREcj75viodxp4vFNzfijSeKq5DtbWmj1x7h/buENbdNVtcBGZ3uC\nSFgSi2rp0rXLL7+gPXXqVAoKCuju7iYej3P48GFqa2tJWCeQMBVijHehqFEswSNUuBbQ6NtBXMTp\nMnRTnCwEtOhwJG94XLUHwuhbatHR0dEZImTAh/qrH6THYtX7EbNrLnOGzoHWjMNrdak9veJ9NeQ4\nSV+krVJ2ZNg9ZToYjSjOzGQuJDQBLKTATGalW14wgc12lFaMRpLJTERI6GJYZwzR3ZFg02v+HCFs\nMEJ1rY1ltznGpBC+EGF3oixfg+HzX9MMuB75KmLRLXCh98P5FkKvv8jzv3smRwjPnz+fO+64Y9QK\nYZHwk9fyCxRVi9xpvYQfQhqGNsItpcrO5h8TS2oZQnZTIaunD00LzwtNs3yV5Vc4Y3Qwu8TOd+6c\nyPi8zOLxUwc6+f7ONpLqjUtTMpkV5i3KpEu3DCBdWgjBwoWZKPD+/ftJJpMgBBFXpgbd5ttDubMG\nkZKWOXVCdQsXAAAgAElEQVTDI9xESxfDOjo6Ny3ymZ+CX+u9SF4B4v7PDu8NjQIOZPUXrrkGF2kA\nvzfbSfoibZWy06QLCmBWDQZHRtiGFW2ymuMkrSj90gCz64YxGEhmp0mji2Gd0U8iITm8L8x7bwUI\nBjJ/30WlRm5b52bSNMsNjTyNFITVhlh0C8ojX9WE8Z//LWLJrWCx4TdZeG7KIs7bM5GqZW0nWfH6\nb5Av/RrZ3DCMd36NqDHyWp/EkNDSi69HL+E+Tna/QXvwUGokWFr5CBajc9DX1Uyz2tPj0WSaNRDK\nXWZ+9EfzqCrNiNHX6718+90mIokbZ2JRWmFi/KTM+1q3O3xFd+kZM2Zgt2v3HQwGOXnyJAAR1wJk\n6llqCp/CJhMU2acD0CQyn6ORXjesi2EdHZ2bEnlwj9azMoXyyUcR9msTdzcLSVVyqD0TGa4ps1/m\n6EtcIylzJu0XOklDbpq02+1GzF+aExkOpx5dlux6YWP/62RHhlUFElmdLQxSf/zpjG4uFg02GmHe\nIhvLbnVgd+h/4wDCbEEsXI7y8Jfp/fvv8dy8tfRate96ISW3NR2htuMcor0Z+fIzqN/8C81865Xf\nkmhtusLVRwBSxd3+W0xR7V4lAl/Zx4a8lzCAN9JMXXumjdKswvWUOGYPybVdre0oyb707tFnmjUQ\n3FYT31wzntsmZ4zZdrcE+bs3G+iN3Li62rkLrFhtmoiNRSVHDlze5dpoNDJv3rz0eN++fVo7SlMe\ncdtUgHTP4XLXfABaRDMyVTdsDEcQieFpLTUQ9G/KMY7X6+WjH/0oc+bM4atf/epw346OzohARkKo\nT30/PRZLViNqlgzjHY0O6rsjBOOakC20Gal0X/2qfTDbSdqh9HOSTiaTBLNSqpxOJ6JmMYasKG9Y\n1R6qVnlx86w+snsNx1FJJDOvpcjRmQqpo5O8RDS4uMzIbevdTJx6c0aDr0R7ezvPvvAigZiWFqoo\nCutmT6dq+rT+qdTN55AvPEXXow+SfPzLqK+/gOzpGoa7vjKOrj9gDWYMwAJFHyTmmDXkr5NUE2xv\n/i+SUnP4z7NOoKrk/iG5tikUwt7VnR57K8tHpWnWQDAZBF9aXs79cwvT2052RXjstXO0+a/s8Dwk\n92BWqK7NLGY3nonR2R6/7DnV1dXpEoKOjg6am7X2ZeHsnsOBA5Q5tE4cMRGjQ2i9vwUjO1V6bP6l\n3UQ89dRTzJkzp99/Bw8eBOArX/kKq1ev5siRIwA8/vjjw3m7OjojAvn8U9CtfUnjdCE++vDw3tAo\nISdFutx+TRPuHPOsi6RIBwKB9L8dDgcGgwGRV4hSmYkShCPafWQ7SV9YLwxQlJVaHZGS7Ew0g/74\n0xmF9DlF50SDTVCz2MbS1Q5s/4+9N4+Tqjrz/9/n1tpV1V3ddNMrNNAgS7O7gaioCMYoQYkkcYvJ\njBNxzPzmNTFRY4iZZNREszAzPzOOmnGcREk0EhXEHRQQFXdoZBUaaOh9rV5qr3u+f9zqe6voBWiq\nF5r7fr14vfrc5dxTxa177nOe5/k8LvO+7o4jR47wwgsv6Eq4NpuNJUuWcNYVV6F870cov3sa5fZ7\n4Jx5YD9mke/Ql8jn/xf1nr8n9pufoG56Hdk+8GrA3eH0fYi7xaiN7PdeSCAzBUJW3bCz/kVagocB\nUISVOUW3Y1FsxznrBIiLZnXOJsGMdELe07Ok1YkihODbs0Zy+3l5dMpu1LRH+PGbhznUPDC1iPOL\nbBSMSlaXjkV7zl9OS0tjyhQjCqCzzFLIPRUptH6s4VqyhR2HRRM9qxCH9OOHcqi0+dQ8zbn55pv5\n4IMP9H+vvfYaxcXFTJ8+HZ/Px5YtW7jjDk3YYMWKFaxatWqQR2xiMrjIA3uQ77yit8W3vodIH7oq\nh0OJ7TWJIdIpyBc+XlmldENF1FJglOwIhjSD2dFDWaVOEj3D/liMaMSY8iyYnmGT04dYTKsb/N7b\n7XS0HeMNvjKD4hLTG9wTBw4cYO3atUQimufL6XSydOlSiouL9WOEw4E450Ist/8Y5XdPI/7hhzDz\nfC3uvBMpYd8XyGceRf3Rd4n9/gHUjzYjQ6FjLzkg2Dv2kV6/Vm+H3KW051zVL9dq8O9jT8PLentG\n7jfJdI5OSd9pTc3Y/VqNACmE5hU+Q/jqxCx+fHERdov2220OxvjJWxXsrPMf58zUMO3sNKzxabKj\nXeXL3b0b4rNnz9b/PnjwIM3NzaDYCSWEyqd1fEGeeyoAleKIvt0+hI3hQSutVFtby9atWxk3bhwH\nDx5k4cKFuN3dv1yVl5dTXl5OR0cHBw4c4KabbiIvLw/QPKNr167F7XZTUlLCbbfdpu87U/B6jRf5\nu+66i5/85CcAbN++PSnG3+v14vP58Pl8SeeYmJwpyEgE9Y+PoMfpTjsHMeeSwR3UaUIoqrKn3ihq\nNKOvxnDrSShJZxjeASXLDaomDhOMaRN2Upi0tet0lpgz3B5TCauGMWzFRliaxYZNhj7NjVG2fein\nPcEItlqhdFYaxSV20wjuhd27d7N+/Xq9trDb7ebaa68lOzu7x3OEM02bF+ZcwginnYa31iE/fhf2\n7IDO8myxKGz/CLn9I6QjDTF7LmLupTB5BmIA1KgtoRoyav6MQBtPxFGEL+9bIFLv44rEgmw9+rie\n/5nrnsLE7K+kpG8RjZFRXaO323NziDkcvZwx/JgzOp2fXzaaBzYdxR9R6Yio/PztI9x1USHnj+rf\nslLONIUpM9LY8ak2t+/fHaJwtJ2MzO7v4aysLMaOHcuhQ4cATVn6sssuI+iZgbO9DNBqDudlnEdF\n61YqxVEkEoHAFgggYrFuo7gGm0EzhleuXMnDDz8MaDWsHn/8ce68884ux3V0dFBeXs7ChQsBreDz\nAw88wCOPPALAhAkT+Otf/9pv48zdf2+/9X086ib86qSO37FjBxUVFcyfPx/QRGgSXyZBM4grKiqY\nPn16ysZpYnK6IF9bDdXxlUqHE+XmfzRfJE+QXfUBovESEMVeOyPS+jZ9JHuGu764JdUYTvAMK9Yo\nxNOpQhYJiON6hjOdViwCYhI6YjFkzEGMmOEVNo1hkyFMLCbZtzPI/j0hSLhVc/KszDzPZQpkHYdt\n27axefNmve31ern22mtPyhmgeDJQLr4CLr4C6WtGfrIF+eEmOLjPOCgUQG59RxNkzMjUNCjmXgbF\nJf0yvyjRNjKr/4giNY90zOrFV3ALKP2jvLytdhUdkToAbIqL8wtvQ6TI6E6vqcUSF1aK2my05+am\npN/Tjal5Ln65qJifv32ElmCMcEzyq82V/GBeIfPH9m/I+JjxdioPh2lqiCEllH3i58LLPT3eu7Nn\nz9aN4d27dzNv3jxwTUQVDhQZwhppZJRtJB8DIRGiXtSTK3MRgM0fIJx+6srjqWZQnqTl5eV4PMaX\n4Xa79RzXY6mtrWXNmjV6e/z48dTW1iYJrJhoPPjgg7pXGKClpaXLMZmZqZfZNzE5HZBVFchXn9fb\nYuktiOwzc+LtC9urT72kUiwm8R9HSbrHMOmotl1KSTjuODhezrBFEWTHvcNhKYlF7URJUOxUB66c\nhYnJyeBrjvLuW23s320YwnrdYFMpuleklHz44YdJhnBOTg7Lli07pag44c1CufxrWH7yW5QHH0Nc\ncyPkFyUf1NqCXL8W9YEfoP7rP6G+thrZqU+RCtQw3uo/YYlq73eqsNNS8B1Ua/8YTFVtn1PevFFv\nn11wC257Ts8nnATWQBB3gyFK1lpUgLScuff1uCwnD18xhnyPFresSlj5XhVvfNn1XT6VCCGYcZ5L\nDypoboxx9FDPQl6jRo0iJ0e7B6LRqKZJpNgIeUr1Y7KCh0m3a2rm1aJS327vGJjw75NlUDzDdXV1\nXUKiPR4PtbW1XUKcS0pKeOihh/T2gQMHcLvd+vmd4dYul4uysjKWLl3ape/169ezfv16AB566CH9\nP/FYamtrsXYTajdYnMxYfD4fZWVlLFiwQN+WnZ1NW1tbUj8tLS1YLJaT/pwOh6PH7+14WK3WPp97\npmB+RydGX78nqao0/+6nqDHNELJNnErWsm8PSDjbYNAf99POBiP35+KJBeTkjDjpPpoaQ0ip1XX2\npFvJz+9aOqNT4AYSJl01irJfM8aDqoqMK464hPGsd2V6cXbzmfO9VdR1tBJGJRZzEiWq1ye2CmH+\n7kyGFKoq+XJXiC93BZMCF7Jzrcw6Lw2XZ3g+s1KFlJJ3332Xbdu26dvy8/NZsmQJTqezlzNPDpFb\niFh8PfLqb0HFAeTWjciPNkNrguFSfQT5wp+QLz4Nk6YjLrgMcfYFCOfJl6QD4iWUnu9SQinm6J8c\n22C0lY+rntTbozPOZ4x3Xmo6lxJvpSGaFfK4CQ5z0awTIT/dzq+uGMO/bqigwhdGAo9+VEMgGuPa\nKT2H9p8q6RkWxk9yaItvwK7tQfKKbNjtXRcnhBDMmDGDt99+G9CiUmfNmkXIM4O0Nk1Uy9leRr5n\nKm1NVdSIKmai5Rrb/aYxrJOoFppIT97eRON2/fr1LF++XG8n5hp7PB5WrlzJfffdl3T+woUL9TBr\ngIaGhm6vEwqFdNnwTnoLVbZarUSj/VgX7CT6fvHFF7nooouSxuN2u2lubk7a5vP5cLvdJz3uUCjU\n4/d2PHJycvp87pmC+R2dGH39ntSNryH3aPksWKzEbrydxubmFI9u6JDq+6k1GGVfvfZ8VgSMTov0\nqf/KCmO12eXp/lnc1GSU15BS0tDQgBL10Wmy+gNhiAt+pEljbmgNBAh2019m/NgwkljMQSzBMxwJ\nhWhMweRcWJj6ep4mZx5tvhiff+jH12ykEigWKJ2RxtizzNzg46GqKhs2bGD37t36tuLiYq6++mps\nthSoHneDEALGTECMmYBc9newezvyw43Izz6AcFxYS0rYU4bcU4Zc9d+Is+chLlgAk6cjlBNf3HA3\nvYWz4wu93V8llEB79n5S9RTBqLZ46bRmck7Bd1N2DzpbfLq6sAR8RYVg3t8AjEiz8uCiMfzi7SPs\nb9IWh5/6rJ5gRPKt6dn99hw4q9TJ0cNhgn5JOCTZuyOYVH4pkUmTJrFlyxbC4TAtLS0cOXKE4tET\nUJU0FDWAJdpCoWcWXwLVolo/z9bh134PQ+z/elDiETweTxfDtycDOZH169czb9485s6dq29LNJRL\nSkp6DLce7pSVlTFr1qykbTNnzqSiokJvdwpnjRkzZqCHZ2IyaMjmRuQLf9Tb4sqvI4rM38DJUFZr\nGIyTctJw2frmnWpv7V1JWkrZbZi0EjW2+RNqBTulIbTSXc4wGOWVIkhU6UgKk1ajg6MCa2KSiFQl\n+3cH2fxmW5IhnJVt4ZKvpDNuoqkUfTyi0SivvfZakiE8YcIEFi9e3G+G8LEIiwUx7WyUW+9E+d2f\nELf+AEpnJYtahcPIrRtR//1nqD/+HuqLTyNrKnvuNI6z9RPcCeHKfu+8fiuhBHDIt4XKtk/09vmF\n38NhTY2Yk4ipeKsM0ayOkdlE01LntR8OZDgs3L9wNKUj0/Rtf9nRwKrtDboYXKqxWgXTZhvXO7Q/\nTEtT944zm81GaakRFl1WVgbCSsgzTd9WHOtAYKGZJoJoAl2WWAxLeGBqKZ8Mg2IM5/aQIF9SUtLj\nOWVlZeTm5iYZwuXl5dxzzz0pH9/pSEVFRVKZANDEImbMmMEzzzwDaDnFN91002AMz8Rk0FCffQIC\ncWMurwhx9TcHd0CnIUn1hfP7GOIHtPkSlaS7Tj9+v59YTDMGHA4H9ni9TyVmGMMBi2EAO2OGYExP\nCpWd5ZXCUiWq2lExjI1YdOhNyiZnFu1tMd57u53dZUE9hV1RYMpMJxcu8OBJN8Oij0ckEuHll1/m\nwIED+rbS0lKuvPLKQUt9E840lLmXYfnBv6E8/CRi2XehMPkdjeYG5KvPo973j8Qeuht18xtIf9cI\nSZu/nPS6F/V2yDWJ9pyr+23sHeEGPqv+k94en3U5Bekzejnj5PDU1WGJl7mKWa205Z9ZFWBOFJfN\nws8XjGZWgeH0e35nI3/aVt9vBnF+kY2R+cZvZsengR6vlSjEe/DgQdra2gh6jPsk3b+HHNd4EMne\n4aGYNzwoxnBJSUmSJ7i2tjbpSz1WIKtTcKuzTNDWrVsByMvLY9GiRfpxZWVlScbymURFRUUX5WiA\nxx9/nHXr1ukrOCtWrBjooZmYDBry863w2Qd6W/n29xG2/lHcHM4k1hfua0klSPYMn4x4lhI15otA\nQr6dQzU8Pj16hjsFtJDEVAcxkeAZjpmeYZPBQUrJwX0hNr3RRnOj8bvwZlmYf0U6EyY7EYrpDT4e\nwWCQF198kSNHDE2D2bNnc/nll6MoQ0OMSWRlo3zl6yg/fwTlp/+OuPxr4Dnmfe3AHuTT/4V613dQ\nn1yJ3L0dqapYwg14a54xSijZ82nNv6FfSigBSKnyUeUTRFUtPNdjz2NW/vUp698SCuGpM9JZWgvy\nhmSpnaGCw6qw4pIizik05t0XdjXx5Gd1/WIQCyGYdnYanT+dlqYYRw52v2iclZXF6NFarWkpJTt2\n7CCSNg7VogkkW2JtFNg1gbkaUaWfZ/MHunY2yAyaWtTy5ctZs2aNXmc4MQ941apVzJgxg4ULF1Jb\nW8v999+fZBzn5eUxd+5c3G43ubm5ujhWTU1NUj9nEu+//363271eL88+++wAj8bEZPCRAT/qnx/X\n2+LiKxCTpvVyhkl31LaHqW3XVvGdVsHE7LTjnNE9qippb++9xnBiWaWkGsMxY3vA6YL4dGAXCWHS\n1p7CpDWDOYKqGcMYhrUaDYOt755uE5O+4O9Q2f6Rn4Y6Y2FGCJg41cmEKQ4U0wg+Ifx+Py+99FKS\n9sDcuXM577zzhmRYuZZfPB4xZjxy2Xdhx6eo778NOz6GeERMZxi13LoRUZiH95uFKA7NGIlZ0vEV\nfAep9F8d3n2Nb1Dn10LNBYI5RbdjVVIXwpxRWY2IG3FhVxqBEVkp63u4Yrco3Du/iN9sqeLDo9r8\n9fKeZpBw6zm5Kb/XPekWxk928OUubbF4d1mQgtF2bLau15kxY4a+ELVz507OP/98gp5puHya03KM\nEJRxjGd4CIpoDZoxXFJSoodFd3p8O0msN5yXl8dTTz3VYz/HnmtiYmICaAqeLfGyDelexHXfHdTx\nnK4keoWn5rqwWfo28Xa0q8i4Lex0CazdTKyJEUNJnuFYgmc4PvErUsEaD5mWgOzBC5Sd4BmOSgcq\nPn2fGjPEuExM+hspJUcOhtn5eSBJHzPdqzB7jgtv1tCpZjHUaWtr48UXX0wqIXnJJZcwc+bMQRzV\niSOsNpg9F8vsucg2H/LDTcj3NsDRg9oBiiBrfhrWuCEsY9DcOoPYKDf9Zeb7gpWU1RnlB6fkfI0c\n14SU9e9obSOt1Yj+MUWzThybReHui4v43XtVvF+hfYcv720GAbeenXqDeMIUJ0cOhgkGNDGtL3cF\nKZ3ZdSF83LhxeDwe2tvbCQQC7N+/n+nFhjFcFKrBpriokQkiWv6AVtZwiERuwCCFSZuYmJj0J/LA\nHuTGV/W2uOE2hHvoFXo/HShLyBeentd3L2qSeFY3XmFI9gwnh0kbL1BBGc8pPrbGcA8vA16HBZsi\ndAGtxJxh1cwZNhkgggGVj7d0sP3jBENYwIQpDi5elG4awidBc3Mzzz//vG4ICyFYtGjRaWMIH4tI\n96IsXILlX/8T5b5/R1x2Fd6rRuMYY4TGtrx8hMh/P4F693dRn3sSWVnRS48njyqjfFj5GKrUooAy\nnWMoHbk0hRdQ8VYaobL+EVlE3GZUzslgVQQ/urCQC4uNufHlPc383+epzyG2WgVTEozfg/tCdLTH\nuhynKEpSmqsWKj0WVdHOtcVayXOOISSCNKE5JwRgCwytUGnTGDYxMRlWyGgU9en/Qi/SOe0cxLkX\nDe6gTlOklElK0jNPIV84UTyru3xh6CVnOMEzHIy/rDkTjOGe8oVBe1HOdlmRQETaUBNyhmXMNIZN\n+p+qI2E2vt5GbVVC6UOPwkULPEyZkYalj9EWZyL19fWsXr1ajyJRFIWrrrqKKVOmDPLIUoMoHo/7\nq6W4phrPv9bNdQT3xhcK29uQ69eg/vyfiP3qLtQtbyFDwR56O3F21q+hOXgIAEXYmFt0OxYldQs0\n7oZGrCHteasqCq0FpmhWX7AogjsvLOSC0cb98dLupn4R1SoqtpGVrc2tqgq7tnV/n02dOlXPz6+u\nrqap2UcooeRXoUVb9KhOyBseaiJa5lKkiYnJsEK+tQYqD2sNuwPlptuHZP7Y6UCFL4wvqK0Gpzss\njM3qe65asme4+3XYRGM4MWfYEjU8xiFVy2NyJJZVikZ6vXaO20ZNe4SYsCBlgmc4cuovkcON2tpa\ntm7dqut5LFy4MKmEYSLl5eWUl5fT0dHBgQMHuOmmm8jL015yn3nmGdauXYvb7aakpITbbrtN33em\nEA6p7PgsQFVF8v057iw7k2ekYbWaz6WTobq6mrVr1xIKac8Aq9XK4sWLu1TSOJ2xt+/C0/i63g6k\nzyaw5BJEztvI99ZDU71xcPleZPle5HP/gzj/EsT8KxBjTj6sudG/n931a/X29NxleJ2jTulzJKJE\nIqTX1Onttvw81AEqdzUcsSqCH11UyG+2VLL1iLYo9MKuJuwWwQ0zRqbsOkIIps5OY8t67Ro1lREa\naiPk5CX/37lcLsaNG6erue/atYv8WVNJa/scgNGxDj4CakQ1U6XmRbb7A3TVTR88TGPYxMRk2CDr\nqpEv/0Vvi2tuROScWS/gqeTYEGnlFBYV2voaJi1lsmdY1cKrnBghXKrfMKK7o1NROiasSWHSpme4\nKytXruThhx8GYPz48Tz++ONJOh6ddHR0UF5ezsKFCwGtmsMDDzzAI488Amg1Xv/6178O3MCHGLVV\nEbZ/7CcUNLw1Tpdg1vkuRuaZhsDJUlFRwSuvvEIkXpLHbrdzzTXXUFBQMMgjSx3WUBXe2mcRxAWm\nnGNpy/06QlgRS25ALv4m7C5DvvsmctuHEItHGgQDyM2vIze/DsXjEZd8BXH+fITz+GHIUTXEh5WP\nI+Nq1SNdk5iYfWVKP1dGVQ1KvG5YxOGgY2R2Svs/E9FCpov4zZZKXVTr2R2N2C0K101N3feblW1l\n1BgbRw9rv7svPg8w/wprF5G/qVOn6sbw7t27mTfnZqSwImSU/GgbVsVBtawifpthMz3DJiYmJqlH\nSom66jGIxA2c4hLE5UsGd1CnOUkllU4hX1iqkvbWxDDprp7hUChEOKz931ksFtLSNGNXyBAiHhot\nhY1QVMsTTAyTjvmaer1+Z63hiFCIJRrDx/Eon2l0ljHsxO12s2PHjm6Pra2tZc2aNboxPH78eL0s\nYk+e5GNZv369Xg3ioYceIicn5xQ/gYbVak1ZXydLJKzy0XsN7NuV7Pc4a3I651+Ug90xdMrIDOb3\ndDLs3r2bl19+Wa9B7na7ueWWWwbEEB6w7yjcgvjiaeNZ5xiJdeo/k2NLTz4udxFcsgjV10xg42sE\n3lpLLDF/uOIA8ulH4fn/wzH/CtK+cg22kkk9Xnbz/v+mLVwDgM2SxpXTfkxGWu5JD7+n70m0+LA1\nGyJnlE4mJ3vESfc/XEj1/fTQNdncu243Ww83A/CnbfWM8KbzjVmFKbvGvEszeWHVYaJRSZtPpaXB\nwcTS5NJgI0aMYOPGjbS2thIIBGhobiMvcxo0b0MRgkJnPkc6KogQxoYdayRCTno6OLqPNhvoZ5Np\nDJuYmAwL5EebYZcWloNQtJrCZv3CPhNTJTvrUlNf2N+hEncM4HAK7I6uxvCx+cKdoe2J4llRxUM4\ndkjrJyFMWjbWIWOxHv+/Oz3DUWFBTQiTRjWN4UTq6uq6GLIej4fa2touIc4lJSU89NBDevvAgQO4\n3W79/M5wa5fLRVlZGUuXLu3S98KFC3VjGkgqkXMq5OTkpKyvk6GxPsq2D/34O4yFH7tDMPM8F/lF\nFlrbmqH3IIYBZbC+p5Nhz549vPXWW3o+pMfjYenSpdhstgEZ+4B8R2qYrMonsIU1o1FVnDTn3UzM\nFwJ6qYV+4RXIeYtQvtyFfPcN5CfvQXyBTwb9BN58icCbL8G4iYj5X0GcNx+RYHzUtu9kR6URHj0r\n70bCHVYaOk7+83b7PUlJzr4DejPgzaBZqjDE77n+pD/upzvnjuT+YIgdcX2P/9hUTjToZ9GEzJRd\nY/xkB3u/0NKKPt1aT8aIUJc0j8mTJ/PRRx8B8MEHH1B82QQy2AZAfgwqhKRW1DJKarWJ248cJZjp\n7fZ6qfqeCgtPbFHAFNAyMTE57ZEdbcjn/kdviwVXI8aeNXgDGgbsbwrij2gv9dkuK4XpfQ/tbGvt\nvb4w9CaeZWz3W9IgHkLoEsYxqr8dKsp7vH5WmmYMR1BQMcai1/Y0AZJLWyXS0dF9dleicbt+/XqW\nL1+utxcuXMjcuXOZMWMG8+bNY+XKlakd7BAiFpPs2hbg/bfbkwzhglE2Lr0ynfwiMyy6L5SVlfHm\nm2/qhrDX62XZsmVkZQ2j2rRSJaP2eWyhSq2Jgi//RmL2E/POCiEQE6ei3Honym//D/Gtf4CC0ckH\nHdyH/OMjqHd9F/XZPyCrjxCOdfBh5RP6IYWeWYzLvCRlHwvA1dSMPa4aLIWgtXD4hLQPJRxWhRWX\njGJSjpE69OhHNbxX0drLWSdHySQHDqdm/AYDkvJ9XRdpSktL9b8PHz5MoxyFjBcCGx1Pb0oU0bIN\noXrDpjFsYmJy2iP/9kdoi9ePzcxGXHvT4A5oGJCYLzwjz3VKImSJ+cLdhUhDcr5woniWEk2oMazY\n9b/dwjhGDQWQX37R4/W9Ts0AjxzrGTaN4SQ8Hk8Xw7cnAzmR9evXM2/ePObOnatvSzSUS0pKegy3\nPt1paYry7pttHNhrvBzabILZc12cM8+Fw2m+ZvWFTz75hI0bN+rt7Oxsli1blvRsGA64m9bj7DCe\nXWMCnVwAACAASURBVO0jv0bE1beFXOFOR1m4BOUXv0e561eIOZeANSEANNCB3PAy6s++z2frf0gg\nqqWX2C0ezi28NaVCkyIaI726Rm+3544k5rD3cobJqZBmU/jZZaMYP0Lz/KsSVr5XxefVqZGpsloF\nk6YZqUkHdgcJBdWkYzIyMhg92liI+WLPISJp4wDIEzYswjpkFaXNp/Qw4PDhw1x//fXMmzeP66+/\nHp/PN9hDMjEZMOSXu5Dvvqm3lRuXn5BwiEnvlNWkJkQajlGS9nbvGU40upI9w4aRHBDGi12aMMak\nhgLIfTt7vL7XoZ0XFhCTxgQuTWM4idzc7r1RJSUlPZ5TVlZGbm5ukiFcXl7OPffck/LxDSVUVbJv\nZ5At69uTIh9G5lu55Mp0Ro2xmyr2fUBKyfvvv8/777+vb8vLy+O666474Vz00wVH2+e4m9/R237v\nPALeub2ccWLo3uJ/+CHKr/8PsezvYGS+vr9yvJXDowwj6ZzKs3B2U0P2VEivrcUS1fqM2my056VO\n5dikezx2C/962WiKMrRFh6gKv9p0lD31qanpO3qcXV/MjkZh386u1RimTp2q/71r1y6CLq3kmUUI\n8izp1Ihqfb8tEDRKYA4ypjE8DLjhhhtYsWIF77//PosXL04KVZs3bx5FRUWUlpZSWlrKbbfdNogj\nNTFJLTIa0WoKdzJrDmL2qb9MnOmEoiq7EybQmfmntrhwIjWGu1WSJtkz7BfGuWmJatJBP3y5C6km\nr1R3khH3DIelipp4TA/Hn6mUlJQkLUrU1tYyffr0pHai57hTcGvGjBkAbN26FdCMl0WLFunHlZWV\nJRnLpzvtrTHe29DO3i+C+rucxQLTz0ljznw3aS7z1aovSCnZtGkTn3zyib6tqKiIpUuX4nQ6eznz\n9MMWOERG7d/0dsg1kfacq1J+HZGegfKVpSgPPIbyL78geP65fLrQeHYW7w5T9OxG1B/fSuyxh5B7\nd5xyvVprMIi7vlFvtxbmIxXzNzEQeJ1WfrFgtK6TEYpJ/m3jEQ41n3oZQUURlM407p3DB8K0tyUv\nopSUlOi/1ba2Ng76jLzlUVKlQ7TTQbxGuKpiCQ2Nig6mgNZpzuHDh8nIyNBfWG6++eakFfmWlhZ2\n7dqF19t9krqJyemMfONFqD6iNRxpKDeYiz2pYE9DgIiqvRAVZdjJdvU951FKmTRhnkiN4Z5yhhOn\nc4c0Xo7VUAD87VB1GEaN69K326ZgVSAsJTESXvTUobEqPZRYvnw5a9as0esMJy6urlq1ihkzZrBw\n4UJqa2u5//77k4zjvLw85s6di9vtJjc3V1eKrqmpSerndEVKyaEvw+wqC6AmvANmZVuYPceFO90U\n7OsrqqqyYcMGdu/erW8bO3YsV111FVbr8HpVVSLNeGueQcSV7aP2PFrzbgDRf/ePUBRk6Sw+S3+H\ncJv2DE7rgFkb44ueqgqfvo/66ftQWIy47CrE3MsQzrReeu0GKfEeraIzJiLkdvcokmTSP4x02/i3\ny4u5983D+EIxOsIqv3jnKA9fMYZcz6npF+QWWMkeaaGxPoaUsKcsyLkXGhEbVquVyZMns22bJpxV\ntreS0tJCbKEqihQbxKBO1DJOalUL7IEAAWf3itIDyfB6wpyhJHpUAMaMGTNIIzExGThkXRXyFaOO\nqbj2RsQIMxQrFZSlqKQSQMAv9XKYdofoMYcy0RhOzhk2tgcSxK8cGPlnajAu0rJvJ6IbY1gIQYbD\nSjgoicWkPvMJFUxzOJmSkhI9LLrT49tJYr3hvLw8nnrqqR77Ofbc052AX2XbR34aaqP6NqHApGlO\nJkxyIBQzJLqvRKNR3njjDb1OKcBZZ53FFVdcgWWYVQQQapDM6j+ixLRFJFVx01JwC9LS/57vgy3v\nUtX2ud4+b9KPcH63DfWdV2FfguZCVQVy1WPIF/6EmHc54rKrEXknpsrr9LXiaNc+mwR8owrATBcY\ncIoy7Px8wWhWrK/AH1FpCkT5+TtHeGhRMRnOvpt+QgimzExjy3rNu1t9NEJLU5TMEUafU6ZM0Y3h\nAwcOEJg9AVuoinzhQEGJG8PjAbAFAgSyUqd63VdMY/g4PLfz24N27W9Nffq4x4wZM4bi4mLWrVvH\n4sWLeeaZZ5LKXYC20l9WVsZFF13EE0880UNPJianD11qCo+ZgFiweHAHNYxIEs861RDpExDPikaj\nuodRCJGUG5jkGU5wx9lVY/pSQ53G8BfQw33gdVqIBFViCdavIgVm1rBJb0gpqTwcYcdnfhLLUqd7\nFWbPcePNGl7G2kATiUR45ZVXqKgwauWWlpayYMEClOEWWitjZNT8BWu4VmtiwVdwM6qt/+vudoQb\n+LzGeKecMGIhBd6ZcC5Yzr0IWXkYufFV5AfvQCgegxPwIze8jNzwMkw/F2XBYiidhejp/0VVyagy\nckL9OSOIpp2kZ9kkZZSMcPKTS4r4+dtHiaqSytYw9288yv0Li3Fa+/7bysq2UjDaRvUR7YG4Z0eQ\nuZcY9elHjhxJdnY2jY2NRKNR9je6ONsGViHIUxzUqbX6sTZ/avKZT5Vh9qQ5M3n22Wf55S9/SVFR\nEY8++mgXz/D06dPZtWsXmZmZ3H333YM0ShOT1KHVFNZWHrWawncgFPOlNBV0hGPsb9JehgQwPe8U\nxbN8iSHSxxfPcrvdSd4gS8zYF5RGfpFNNY7pNIbZt7PHfDevw0IYSSwhNFpI02Nh0jOhoMqn7/v5\n/MMEQ1jAhMkOLl6UbhrCp0goFGLNmjVJhvCsWbO4/PLLh58hDHgaXsXh36e323K/TiRtbL9fV0qV\njyqfIKpqz3WPPZ+Zed9KOkYUjUG56R9Rfv0U4vrvQV5Rcic7PkH9z5+j/uz7qG+vQwa7KgF76uqx\nhrUfimqx0Jqf1+UYk4Flep6bOy8s0MPW9zUG+fW7lURPMUVo0jQnnZ3W10RprIsm7Z8yZYr+98e7\nG1AVbVGkSFipE3X6vqEiojX8njZnIFdeeSU/+clPqKys5Oabb+aGG27Q97322musWLECgO9///us\nWrVqsIZpYpISuq0pPGbCII5oeLGzzq+n0paMcJDuOLUX/kSl3Z7Es3rKF0bGELHOkDtBKF6r0CKt\nKPGZWAqBtMdzjtp8UFvZ7TW8TithqRJVjWlPMY1hkx6orYqw6Y02qo8a7mCXR+HCyzxMmZmGxWLe\nO6dCIBDghRdeoKrKKLUyZ84cLr744mGpwu30fYjLZyhkd2RdSjDj7AG59r6mN6nza7nYAsGcouVY\nle7DsoXLjXL511D+7b9Q/uUXMOO85DDn2krkX55AvfvvUZ97ElkfL58UDOKprdcPay3IQw6zXO/T\nlQuLM/jeucbCxKdVHTz2Uc0pCaWlZ1gYNcbIP96zI5DU38SJE/Xf8ZGjlXTYtdSbIsVBKz6CcQUQ\nJRbDEkkIuRkkzDv1OPQWqmy1WolGoz3uHwjWrVsHwOLFWmjgHXfcwe9//3t27NjB9OnTk7zEmZla\nXL7P5zMFtUxOW8yawv1LYr7wqXqF4ZiySicgnpWULxzrQMSzeqXFRShuGDtJEM+yWOCsUtj+kXbc\nvp2I/FFdrpHhtBBBEo0ZL3aKuR5scgyRiGTX5wEqDiarnI4Zb6d0ZhpW2/Az1Aaa9vZ2XnrpJZqa\nmvRtF110EWefPTDG4UBj8+8nvX6t3g66p9IxYlEvZ6SO1lAlO2oNbY0pOV8jx3X8xWOhKDB1Npap\ns5F11ch3XkW+9xYE4vNDwI9cvwa5YS3MnIO4/OsocWMo4nTiz+7/0G+TE+fqSVk0BaKs3qmpfL91\nwEeu28Y3p+f0uc9JU51UVkSQKjQ1xKiviZJboBnIHo+H0aNH61Ef+xvTmO2GfGFHCE1Eq1hq9onN\nHyBmH9wa1OabwDCg08hNpLi4uMu2zpvSNIRNTlfCu7abNYX7mURj+FRLKkkpj8kZPtmySoaRHLOk\nE4rnDx9rDIuJRm3DJCGYBDId1niYdEIItjTDXE0MGuqibHqjLckQdjgF5893M+Ncl2kIpwCfz8fq\n1auTDOEFCxYMW0PYEq7HW7MKERf/izgKac37pqa+1s+oMsrWo48Tk5rnLdM5htKRS0+6H5FbgPKt\nW1F+/b+IG5cnh1BLiaOuFlvQ8O615OeaollDkJtn5nDpOGOxeVVZA2+X+/rcn8tjYUyJYcTu2RFM\n8g5PnjxZ//uDXa1IBHahkC1s1ImEvOHA4OcNm8bwac7FF19MWVkZO3bsAOCZZ56huLgYr9fL5s2b\nuf766/H5tJv9wQcf5I477hjM4ZqY9BkZjdD62K+NDTPPN2sKp5iWQJTDvhAAFgGluadmDAcDUs+1\ntNrAmdb9C1JiznBPZZVUSzrheP6wM7GsktWCOGua3pY95A1nOC2EUYlEDQNYwTSGTSAWk+zcFuCD\nd9oJdBhh/YWjbVx6ZTp5BadWjsREo6mpidWrV+uLX4qicOWVVzJt2rTjnHl6ImJ+vNV/RInn6sYs\nGfgKbgFlYLxgu+rX0hw8CIAirMwpWo5FOQUlYacL5bKrtRDqf/5XmDobhELmxYZoYce+7QQf+GfU\nV/6KbGvtpTeTgUYIwT/NKUgSxfz91mq2JwhmnixnlTrplGvxNceS0krGjx+PzaY9O6vq2wgoWqh2\nvrAfYwyfeg3kU8U0hk9zvF4vzz33HHfddRelpaWsW7eO5557DoD58+czf/58LrjgAubNm8f06dP1\n/GETk9MN+eZLxI5oEzsOJ8oNp3/d0qFGWa3hFZ6Uk3ZKipOQrCSdnmHpMRewR89wgjEctbgI62HS\nhkKptFiguAQc8W3NDdBoCHR04nVaiAGRqPEyaDGN4TOelqYom99so3xvSN9mswvOvsDFOfPc2B3m\na1IqqKurY/Xq1bpqvMVi4eqrr2bixImDPLJ+Qkbx1qzCGtHCUqWw4Su4BdU6MJF5jYFydtWv0dvT\nc5eR6Rydkr6FoiCmn4PlX35B+j2/xZ6TD4AaCeN7/3XwNSNfegb1nr9HffpRZM3RlFzX5NSxWQQ/\nvriIMZmazkZMwkObK6nwhY5zZvc40xTGnWXUCd73heEdttlsTJhghOSXN2tpV/nKMcbwEFCUNnOG\nhwHTp0/n9ddf73bfHXfcYXqDTU57ZF01ct1zeltccxMi26wpnGp21KaupBIcoyTt7dnw7ElAS4ka\nHuNAguCLWxgvlKrFgrBYYPwkXWFclu9F5CQrmXod2nQXihlePos5BZ6xqKpk/+4Q+3YGk8RMR+Zb\nmXmeizSXaQSniqqqKtauXUs4rIWf22w2Fi9ezOjRqTHOhhxSkl6/BnugXN/UmvdNos6iXk5KHVE1\nzIdHH0PGQ7NHuiYxMfurKb+OEo2S4TdSCtoCPmK2hGdqJIzc/Dpy8+sw83yURdfAxGnDUiDtdMJt\nt/Czy0Zx9+uHaQxE8UdUHth4lF9/ZQyZfahBPGGyg0P7Q8SimmBm9dEIhaO16IfJkyeze7cm3vbh\nvgDTztM8wy3UESGMDTuWaBQlEkG1DV4Ejvm0NzExGdJIKVH/nFBTuLjErCncTyTmC8/IP3XxrEQl\n6Z7Es6SUPRvDCZ7hgDCMaY9i5D2pVm27KJlkdFq+t8t1vE7tuGCSMWx6hs9E2ttivLehnb1fGIaw\nxQLTz0ljzny3aQinkMOHD/PSSy/phrDD4WDp0qXD1xAG0lq2kNb6id5uH/EVQp6BCwUvq/0rbWGt\n3q9VcXJ+0W0o/ZCjnF5dixLTFjxlmpOOiy5F+dUfELf+QIvWSWT7R6i/XYH64A9RP9qMjJkV3geT\nHJeNn146CqdVW5iobY/wy02VhGPqcc7sit1xjHd4p+EdHjVqFB6PVoP4UL1KhDQyhRWHENQfW2Jp\nEDGf+CYmJkMa+fG7sPNzrSEEys3f1zyBJimltj1MTbuW7+OwCCZmpx3njOPTluAZ9vTgGfb7/aiq\nNgE7nU7sCaqSiQJaAQxvQhoe/W/V0tUYlr0Yw4Go4WG2Yh0SNQ5NBgYpJQe/DLHpjTZamox7Myvb\nwiVfSWfsBIfptUohBw4c4OWXX9arbrhcLq677jry8/MHeWT9h71jN57G1/R2IH02/qxLBuz6te07\n+bLpDb09K/8mPPbclF/H6g/gajRE0KITzwJFQVhtKHMvQ/npv6P86EGYeX7yiYf3I//wW9QVy1HX\nr+m2XrHJwFAywskPLyzUZ9a9DQEe+aBvJZdKJjmwxJ3KbT5Vzx0WQuipEBJBRZsXIQR5ip3aIRQq\nbRrDJiYmQxbpb0+qKZx21XWIcWcN4oiGLzsS8oVLc13YTrGO6rFK0uknqSQNx3iGE7a7hOG17jSG\nGZeQe3ikHHlM7cI0q4JVEYRiaURJKIlnGsNnBAG/ytZNHXzxWQA1flsKBSZPd3LhAg/udHOBLZXs\n3r2bV199VV/o8ng8XHfddeTk9L2Uy1DHEqomo+ZZvRxc2DmGttyvD5iycjjm56OqP+jtAs9MSjL7\nwRCXEm9llW5EBdM9yJzspEOEEIhJ07H8009R7n8UMf9KsCUIhzXWIZ97EvWeW1FffBrpa079OE2O\ny/mj0vn7c4zFks2HW3l2R8NJ9+NwKIyb0L13OFEX4LOD2rxc0EVEyzSGTUxMTLpFvvAnaG3RGpkj\n8Nxoimb1F9sTQ6TzTj1fOBQ8MSXpnkKk4RhjWBqGdRcBLUB4MiC3UNsYjULFgaS+hBB4nRaC0WRj\n2AzXG95IKTl6KMzG11tpqDX+39O9Chcv9HBWqROhmN7gVLJ9+3beeust/WU4MzOTb3zjG2RlZQ3y\nyPoPJdpGZvUfUaQWDh6zZuEruBnEwOkSfF79NP64YJfd4uG8wn/ol0iHtOYWHB3afCGFwFdU2KvB\nL/JHoXz7DpSHn0R87XrwGGku+DuQrz6P+uNbUf/0e2RNZcrHa9I7X5uUxZVnGSVan93RyHuHT14J\nvCfv8MiRI/USsHtrrEgE+Yr9mDBp0xg2MTEx6YI8sAe5yRCGU66/DcV16nmsJl2RUrKjJlE8KwX5\nwr4TU5JONIYzMjKS9iUJaEnD05tcWsl42UwKlT7YTai0w0JAOoglGsNq31Q0TYY+oZDKp+/7+fxD\nv74wAzB+soOLF6XjzTIF1FLNxx9/zKZNm/R2Tk4Oy5Yt67LQNaxQI3ir/4QlqpWxVIWDloLvIC2e\n45yYOo62fswh3xa9fW7B35Fmy+zljL4hYjEyqmr0dsfIbGJORy9nJJyb7kVZciPKQ08ibvpHyC0w\ndkajyHffRP3ZHcT++1fIg/tSPXSTHhBCcNu5ecxKEM38jw+qOdB0cnm8DqfC2ATv8Jdx73BiqHQw\nqtAQ8JAn7DTSoC9MW8MRRHTwFqZNY9jExGTIIaNR1Kf/y9gw4zw4+4LBG9Aw50hrmOagNhF57Arj\nsk7s5aY3ksWzTkxJulNoA0CoId3LIoWVkGp4ru3SCLdTE/PHSxJCpcu7vkx5nVb8qj3ZGI6Fuxxn\ncvpTWxVh0+ttSXUvXW6FeQs8lM5Mw3KKaQAmyUgpee+99/jggw/0bfn5+Xz961/H5Tr1SJMhi5Rk\n1K3GFtLKB0kErfk3EHPkHefE1BGM+vik6im9PcY7j9He83s5o+94auuxxHPAY1YrbXknn48sHA6U\nS7+Kcv+jKLf/ODnFRUr47APUX/6I2G9XIL/4rE85rCYnh0UR3HVREYXpmsBkOCZ5cNNRmgPR45yZ\nzPhJDjqn5FafSk2l9vw96ywjvW13tcAuFLIUC43CCMkeTO+waQybmJgMOeRba6DysNawO1BuXG4K\n2/QjZQle4Wl5LiwpCBtNFs/qeapJzBlO9AwrUWO7askglCCmZZOWhH3G38cV0XJYCGAjhjE2NWZ6\nhocT0YjkvXfq+OjdDkJB4yW6uMTOJV9JJ3uk6Q1ONVJKNm7cyKeffqpvGzVqFNdeey1Op7OXM09/\n3E0bcLaX6e32nMWE3ZN6OSO1SCn5uOpJQvGUkjRrFmcX3NIv17KEQnjqDeOltTBfT1PpC0KxIM6Z\nh3Lvb1Du+iVMPzf5gL07UP/z56j3/wvqx+8iVTOlpT/xOCysuGQUbps2Xzf6o/xq89GTUph2OBXG\nJihLf7krhJSS7OxssrO1vPIv67RncL6wU8fQyBs2jWETE5MhhayvQa77i94W19yIyE69GqaJQWJJ\npZkpCJEGTkg8C3qrMWxsj1nT9Zc9AJtqTF3SmtB30VhDpKWxrosoi9dpIYw1yTNMbHBLOpikjsa6\nKBvfaGPfLmMhxeEUnH+xm5nnubDazAW1VBOLxXjzzTfZsWOHvm3cuHEsWbIkSRl+OOJo24a7eYPe\n9nvnEsicN6BjONiyiaq2z/X2+UXfw27ph3QiKfEerULEvbRhl4tAVmrCsIUQiInTsPzzz1D+9f9H\nzL0UlATz5MhB5BO/Qf3pP6JufqOLOKJJ6hjldfCjiwrpXA/f2xDksY9qT8o7P36SAyU+LfuaY7pW\nQ2eodEWLnaiqkK8cK6I1eHOxaQybmJgMGfSawvGalIwah7h8yeAOapgTU2WSkvSM/FMPaZRS0p4Y\nJt1DWSXoxRiOJXiGrRmGMSzBohpGTZJn2GqFMROMzo/JG85wWgkLBVUYhrqMDK5wh0lqiEUln37Q\nQaDDuO8KRtu49Mp08gptvZxp0lei0Sivvvoqe/cav7NJkyZx1VVXYbUObw+8NXCYjLq/6e1Q2lm0\n5ywe0DG0h+v4vGaV3p4wYhH5nun9ci1HaxvONk3DQQK+Ub2LZvUVMWosyq13ovzyCcSCxZC4oFJf\ng3z6v1B/8j3Ut9Ygg+azuz84u9DDd2cbDogN5T5e3ddywuc7nArF44z/ty93a9FXnaHSMVVwsNFG\nvrDTIOr146ymMWxyqjz66KP4fL6kbT6fj+uvv57S0lLuvvvuE95nYjJYyE+2wBefaQ0hUL59h1lT\nuJ/Z3xTEH9EMiGyXlaL0U/fmhIKSSFhbSbZae1aSDoVChOMLH1arlbQ0QyU60TOsWtL1MGkHDr2k\nh6ooXV7IeguVznRaCAnlGAEt0zM8HLBYBdPP0e4fu0Ph7LkuzrnAhd1hvub0B+FwmLVr13Lw4EF9\n27Rp07jiiiuwDPNnthJpJrPmaYTUniNRey6t+TeCGLjPrUqVDysfJxp/fqXbC5iZ961+upiKt7Ja\nb/qzRxBxnXod+t4Q2bkoN9ymiW1d/U1IFM9saUL+9UnUe/8Bdd2zSH97zx2Z9Iklk7O4bJyRtvTk\np7XsrD3xmtDjJzv0qbmxLkpzQ5TMzEzy8rRc+v0NdrKElTbRqJ9jDQUHrdShOUsMA9atW8eDDz7Y\nZftdd93F/Pnz2bVrF0DSMb3tMzEZDGRHO/JZo0aiuPSqJMPGpH/YnpAvPDPflZLc7MQQac8JKkmn\np6cnHWdJCIuOWTyE4p5iJwlK0t28dCcbw8kiWhkOC2EhUGWiZ9g0hocLBaPsTJ3l5NrriykaYzd1\nBvqJYDDIiy++yNGjR/Vt55xzDpdddtmw/86FGtRKKMW056aquOPK0QObG7238VUa/NrzTaAwZ9Tt\nWJVTFz7sDk9dA9b4oqVqsdBaMHDiYCLdi3LtzZpRvOy7kJEQmt3ehlzzZ61W8Qt/RLaeuPfSpHeE\nEPzj+fmMH6Hd1zEJD2+ppL7jxELUXW4LRWOMiJwvd2vzbGeo9IEGB0IIshRJG9rcrkiwhgZHw8M0\nhk9zbrvtNp555pku230+H1u2bOGOO+4AYMWKFaxateq4+0xMBotjawqLpd8e3AGdIZQl1RdOUb6w\n78RCpBPFs7rUGE4Q0AopTt2AdWEcp1q76TtxAeXQl0l1hL1OK2GpJgloxaKmmvRwomSSE7dneIfo\nDiYdHR387W9/o7bWyPWbN28eF1544bA3hJExMmr+gjWsfXaJBV/Bzai2EQM6jJZgBV8khGiXjryG\n7LSSfrmWJRzGU2vUg20tyEMOQgi8SHOhfOXrKA/9j1aWKVFHJBhAvvY3zVP83P8gWxp77sjkhHFY\nFe6dX4TXoc2zvmCMhzZXnrCg1oTJxgJRbVWU1paYHipd22alPaRQoDiSQ6WDpjFs0geeeOIJnn32\n2S7bt2/fzowZM/S21+vF5/Ph8/l63WdiMhjI/buQmxNqCt9wGyJtGJfjGCKEoiq76428q1TkCwO0\nJ4ln9TzN9JQvDKAkeIb9wujDYzFePLtTMhVZ2ZCpqVYSCkJVhb7P67AQQSYZw9I0hk1MTojW1lZW\nr15NY6NhbFx66aWce+65vZw1fPA0vILDb0SbtOV+nUja2AEdQ0yNsPXoY6jxEO0RaSWUjuw/XY2M\nqhqUeOhqxOnEnz2whv+xCJsd5dKvojzwGOLv/gXyRxk7w2Hk+rWo934PddV/Ixvre+zH5MQY6bZx\nz8VFdFai298U5A+f1PZ+Upx0r4X8IsM7vH9PEI/HQ35+PhJBeaOdPMV+THmlwYnUMpdPj0Phth3H\nP6ifqJrVdyGE1tbWpDIloBm9FRUVve6bPr1/xBdMTHpCRiOoTz9qbJh5Psw2awoPBLvrA0RV7UVn\nVIadbFdqhIaSyyqdvHgWJHuG/QlpRB7h1f/uLkwa0LzDn70PgDy4FzF6HAAZTgthJK20cFQcIUqU\nICqe7nsxMTGJ09TUxIsvvkhHhxYeLIRg0aJFTJ48eZBHNjCktXyAy2fUUO7IuoxgxtkDPo4v6lbj\nCx0BwCLszCm6HUX0z6u8va2dtBbDSdJfoll9QVitiHkLkHMvhc8/QH3lr3Aknr8ejSI3voZ89y3E\nvAWIry5DjMwf1PGezkzNc3HrOXk8ETeC39zvY2J2GosmHF9N/KwpDr3WcGVFhMnTYkyYMIGamhoO\nNDi4ssDGlwnGsHWQRNFMz/AwpaWla+5EZmbmcfeZmAw08o0XDe+dw4lyg1lTeKA4Nl84FUgpaUtU\nku6lrFJiNMqxC3SJAlpBjP7cinFct2HSJOcNkyCilWZVwCLZq27nJeuzvG79G81Kczc9mJiYzwLO\n/AAAIABJREFUdFJXV8fq1at1Q9hisXD11VefMYawvWMvnoaX9XbQM52OEQsHfBx1HbvZ0/ia3p6Z\ndz0ZjoL+uZiUeCur9KY/K5Owpx9KNp0iQlEQ51yIct9/oPx/98G4icbOWBT57puoP70d9an/RNZV\n9dyRSa9cNTGTS8Yac+/jH9eyv/H4XtzMbCs5efHFGgnl+0KMHz8egP0NDtKEhYBo0o9X/B3dddPv\nmMbwMCUzMzMpHw8MI7i3fSYmA4msrUKue05vi2tuQmSPHMQRnVn0R33hcMhQkrZYIc3V88JGomfY\n6zU8vkINoUgtd0gKK0HVyCNyJfhxVUv3HpGeRLSEEKTZFc5qH83tjiL+wVFIoRjVXRcmJibA0aNH\n+dvf/kYwqL342mw2lixZQklJ/+SoDjn8lWTU/AVBPFTYMYrW3G+AGNjX53DMz4eVj0N8HPme6Uzo\nR4PcXd+ALZ6/qSoKrYVD27MqhEDMOA/l3t+g/OAXcFapsVNVke9vQL3vDtT//XdkrWkUnyxCCO6Y\nk8+YTE2kLaJKHn73KK2h2HHO1JSlO6koD5PmTGfkyJH4ghYaOizYlDbU+IK3PRJDqCeWk5xKzDDp\n49BbqLLVaiUajfa4fzDJyMjoYuD6fD4yMjJ63WdiMlBIKVGfeRSicXXC4vFaXUGTAaEtFONAk/aC\nqwgtFCol/foS84V7VpKGngW0upRVSsgfTsMYZ3c5wwAUjwdFAVWFmqPIYADh1EqBZKRZOdySQTgW\nJBwTuIo9DD1/h4nJ4HPw4EFeffVVYnEROqfTyZIlS8jPH9qGUaoQ0TbEnscR8YW5mNWLr+AWUAa+\nbvXnNU/jj2i52naLm/MLv9dvEVRKJEJ6jSGa1Zafi2o7PWp1CyGgdDaW0tnIvV+grnsW9pRpO1UV\n+cE7yK2bEHMuQSz+FiKvcHAHfBrhtCr8+OIifvj6IfwRlbqOKP/+XhX3XTYKpZd7cWSelQyvQqtP\nJRaDwwfCTJgwgfr6eg40OMgpUmihhRGMQCAGRUTL9AwPU2bOnElFhSEc4/P58Hq9jBkzptd9JiYD\nhfzgHWOSEgrKLf9k1hQeQL6o9dOZijt+hBOPPTXf/YmGSIfDYd3bpCgKbrdhkiaKZ6nWdIIJbSdp\nCft6CJN2OKBgtNaQ0sglQxPR+rw6nxd3ZPLKLi8NoawT/GQmJmcOe/fu5ZVXXtENYbfbzXXXXXfG\nGMKoETKrn0aENQNUFXZ8Bd9BtaYf58TUc6T1Yw61bNHb5xb8HWm2/ntuZVTVoMS9cxGHg46ROf12\nrf5ETJqG5YcPoNz9EEyZaeyQKnLrO6anuA8UZtj5lwuM0PzPqjtYvbN39W4hBCUJytIHvwwxbpwW\nWXKg0U6uYqcxUVF6EES0Um4Mf/HFF6nu0qQPeL1eZsyYoZddevDBB7npppuOu8/EZCCQba3I55/U\n22Lh1xBjxg/iiM48kvOFU+cbTRbPOjEl6YyMjCQvR6J4VsySTiih7ZB2/e8eBbQAUWyEccqKA/rf\nXqcFmSA4EwqaatImJomUlZXxxhtvoMYNooyMDJYtW0Z2dvYgj2yAkCoZdc9jiwtVSQSt+TcQ7a/8\n3F4IRJr5pOp/9fYY7zxGe+f02/Xs7R24mo3IwaEkmtVXxFmlWO68H+Weh6F0trFDap5i9Wd3aDnF\n9TWDN8jTiDmj07mu1FAV/0tZAztqe8/1LRptw5mm3UehoMTf6mHEiBEcarIzUthoSBDRsgT8PXXT\nb/TJGL733nsJBJIVv/x+PytXruT+++9PycBMToy7776b0lItN+KCCy7g+uuv1/c9/vjjrFu3Tt+/\nYsWKE9pnYtLfyOf/F9rjxtCIkYglNw7ugM5AtiflC6eujFVba3KYdE8kimf1VlZJtWYkhUnbpGHI\n9mYMU5ywuHI40Ri2YvXMYHTOdRSP/BZjx5wZIkAmJsdDSsnHH3/Mxo0b9W0jRoxg2bJlSTn9wx13\n03qc7UYlkfacxYTdA/+ckFLyUdUfCMfaAXDZsjm74Jb+vCDeo4aXNODNIJw+fLT2xYQpWH7wi65G\ncWdO8U9vR/3jI8iGEysddCZz08yRlI7UorRUCb/bUkVzoOe0UcUiGDfRyB0+sEcT0vKHLbS2O/AL\nw7ss/ANf5rVPOcMul4t77rmH++67j5EjR7JhwwaeeeYZJkyYwFNPPZXqMZr0wq9//Wt+/etfd7vP\n6/V2W4P4ePtMTPoTuWsb8oO39bZy0+16PqfJwFDfEaGqTfOI2i2CySNT8/1LKWnzJYRJn2BZpWNf\ntLvkDCe0baqFThGZXj3DYyboYeBJnmGHhVrhwKpoE7MaO729HiYmqUBKyZYtW/j888/1bXl5eSxZ\nsoS0tDPn+exs/RR38zt6W+ZdRiB93qCMZX/Temp0o1wwp2g5dkv/KRy4GhqxxVNXVCFoLRp4T/hA\n0GkUy/27UNf+BXZv13aoKnLLW8gP3kFctBBx1TcRI07PEPH+xqIIfnRRIT949RC+UIzmYIzfvVfF\nLxaMxqJ0P6eOKXHw5c4g0Si0t6kUjB0LfMzBJjsi3wfxdXR7aOCjtfrkGb7vvvuYNm0a99xzD/fe\ney+rVq1i+fLlrFixApcrdR4GExOT4YUMhTTRrDji3IsQM84bxBGdmSSGSJeOTMNuSU3GTChoKElb\nbb0rSfckngVgSQiL1jzDRtuqGn3KHnKGARg91gjvqzqCDGmiHBlOCxGMwsXRiOzmZBOTMwdVVdmw\nYUOSITx69GiWLl16RhnCNn856XUv6u2QayJy7LcGZSytoUq21/5Fb0/K/iq57in9dj0lEiWj2vCI\ntufnErPbeznj9EdMiIdP3/UrmJQglhuLIje9jrpiOeqzf0D6zPJ73ZHtsnHnhYV0zsg7av0890VD\nj8fb7ILi8YZ3uLHaTUZGBoca7bgVP1E0z7IjZoFIpD+H3oU+vwHddtttXHPNNZSXl7N8+XLmzp17\nUufX1tayZs0aysrKWLNmjV6/rjvKy8tZv349a9asYeXKldTW1vapHxMTk8FFrnsWOvNyXG7E9d8b\n3AGdoWyvTgiRLkidp6G1j0rSXWoMx3r2DFtiMmFfL55hpws6lUKlCpWHAPA6rIQT6hZHTGPY5Awm\nGo3y2muvsWvXLn3b+PHj+drXvoZ9mBtDiVjC9XhrnkHE3VNRez6t+TeAGHhRx5gaZevRx4hJzSDw\nOkYzPXdZv14zo9oQzYo67LSfpqJZfUFMnIrlRw+i/PABmJBQkikaQW54GfUn30Nd/X/I9taeOzlD\nmVXg5vrpxr3y1x2NlNX0bIeVTHToa9RNDSqjR5VwqMlOrsVGIwmh0u0Da8udUJj0n//85x735ebm\nsnLlSq655ho8Hi23YMmSJcftc+XKlTz88MOA9uB9/PHHufPOO7sc19HRQXl5OQsXavXUysrKeOCB\nB3jkkUdOqh8TE5PBRR45iHzTWHUXy/4O4TWVfAcaVcokz/CsfhLP6i1EGo5jDCcYvyHFQUxqYVM2\nHChSM14lIJXe13NF8QRkTaV2fMUBRMkkvE4LO1U/5TJIfqaDK0aZJeVMzkxCoRBr167l6NGj+rbS\n0lIWLFiAcpzf1nBCxDrwVv8fiqpp4cQs6bQUfAepOI9zZv+ws/4FmoOHAFCElbmjbsfSj+WcbB0d\nuJoM76evqFArTXeGISbPQJk0HXZtQ12zCg7Ga9SHw8g3XkBueg2x6BrEomsRaWYUbCffmJbNzjo/\nZfEKFSvfr+Y/rhpLprOriZnmUigYbaOqQlvosTGa9vA2FL+TRlFPnswDQLb5wDVwRQ9PyBguLy/v\ncV9eXh55eXn6MUKI4xrD5eXluuEMmmT/jh07/h97Zx4YVXnu/+97Zt8n+0oIA6LIorIICRarhlIV\nQa1IBatiFWwRr2Jva+/Fe2+r/sTeK3axVaAVW4FWRJEgrnHBBQKCS6CI1QQCWZghyyQzk8ls5/39\ncSZnZrJOJjNzJsn7+Ye875lzzsPJ5Jz3Oc/zfJ9eP9sV+e1yhsePHw+r1QqXywWr1Rr1cRgMhnRQ\nPgD+b08LfV8BYOJkkLll0ho1Sqm1e9DmEZxWk0qG4jTVAHtET3i9sHEoznBYWrQ7LLpskGUAwewp\nXi4bWOV0rAU4tE/4OSiiZVLL0AI/QIVMLJVq9C36GAy3242XX34Z9fX14twll1yCyy67LGH9a1MS\n3gdT41bIfS0AAEoUaMu7DbzCLIk551xf46um18TxtOybYVYXJe6EvYhmeYzJbx+VKhBCgMmXgLvw\nYqDqMPjdW0Ot+TrdoHv+AfreXpCrbwK54hoQZfyen8MVGUfwwNx83L/3pFA/7Pbj9wcase67vfcf\ntpynEp3h9hYzNBoNGlq0kGe2dMmBwGu3AlpLj30TRVTO8Lp16+J6UpvNFtFTEgD0ej2sVitycnIi\n5i0WC9avXy+Oq6urodPpoNPpoj5ORUUFKioqAADr169HZmbv6R9nz56FXD44TbHBfn64olKp+rxu\nAyGXy2Ped7Qw0q+Ra8+LcJ76RhjIFci4bx3k2dmDPs5Iv07xor/r9HZtKAo0a2wasrOy4nZet+uM\n+HNhURoyM3t/e97Z2QlPsIZXLpejqKgotAAPeMDxgogLJTKojaF7fJoyCwi2IOSUygG/C96p09H6\nkiDqKGuoRUZmJnSmAADh5W2r24eMjIzRtfhnjHocDgdeffVVtLaGooElJSWYOXPm6PpboBRG28tQ\nBqOwFARtOUvhVxdKYo430IHK+mfR5RHk6CZjYsaChJ5T29wCpbvrfkvQnj8yRbMGCyEEuGgWuKkz\ngM8PgN+9HWgMPt9cDtCdW0ArdoNcuxTksvkgo8QX6It0jRz3l+bhV+8L64sjDS7s/qoFN1zYsx1b\nWqYc5nQZ7C0BUEqQkVaEky0tGJ9th1jB5EhuSnpMv71jx45Br9ejuLgYAFBeXo4DBw4gJycHK1eu\nHFBEy+l09jrfV71vuMNbUVGBVatWDeo4ZWVlYmQZAJqaei/w9vv9cDqdUKlUUT0Q5HI5/P6+pcRH\nCn6/Hz6fr8/rNhCZmZkx7ztaGMnXiDZZwW/bKI7JtUtgV+mAGP6/I/k6xZP+rtMn1aHm9hekyeN2\nPSmlaG32iGMeTjQ19d4vMPycBoMBzc2hWiGZrxldj09epoe1OeS8q/lQBNmHvu/lok2m0IPYX1uD\nc42NIAoFlDICb4DCF6A4c9YGrWJodYH5+flD2p/BSBatra149dVXI9Tcr7jiCkydOrWfvUYmQgul\nL8WxM+P78OonS2bP540voMMn3NOUMh0uLVgJQhKXuSKIZoV66zpyshFQjZ468WggHAfMmAvukjmg\nBz8ELd8OdLVesreAbnsG9O1dIIuXg8z6jvD5Ucr0fD1uvDAdrxwXsixe+OIcJmdrMTGzpwifZaIK\nn1UK6wPqy8fJ9uO4UNaCoIYWVJ0UoDRpPa5jcoY3bdqElStXAgAqKyuxbds23H333aiqqsJTTz01\nYM9avV7fw2Hty7ENp6KiAqWlpaJYV6zH6Qu1Wg2fz4eODuEXNJBDrFKpxOjGSIVSCo7joFZLUzvD\nGN5QSgX1aE8wnJdfBPL9H0hr1CjGG+Bx3BZyUC+Oo3hWh4tHoKs1gopApe57UdBvj+GItkpGdIaJ\naemJMWzbwA4s0eqBrFxBtC3gBxpqgbETYFbLYHMJT922zsCQnWEGYzhgs9mwe/duuN1CbaxMJsP8\n+fMxceJEiS1LPur2z6BrDbX46zDOhtv8HcnsOd12EKfaPhbHM/NWQKtIT+g5jY1nwQWCollKJZzZ\nLOuqLwgnAym5AnTWZUL7pdd2AG2C04dzZ0H//CTom6+Au+FWYOooy7AIY/lFWThm7cC/mjsRoMCG\n/Q3YcHVxj2ds3hgF1F8SdLop5CQPLp8SxBtAJzqhhhoKKgfn84NXJq5WPpyYnGGr1QqLRcjlrqio\nwJw5c1BWVoapU6fivvvuG3D/7D7SI7uO2RtVVVXIzs7GtGnThnScgVAoFFAoorv4LErFYPQPPbgP\n+GewXQch4G67F0SenJsboycnzrnhDaox5xuUyNLF73cxmHrh8KhUv0rScgM8YW2WNMQQti26xxcp\nGg8aVDCntdUgYyfAqJJHOMN5o7dEjjFKqKurw549e+ALtiyRy+W45ZZbkJY2+kQMhRZKr4hjj3Yi\nnFnXJS0K1Z0OXzMONzwnjotNl2GMaXZCz6l0dhPNKhydolmDhcgVIN+9BrTkKtAP9oK+vhPoCAbh\n6k6C/8MjwHkXgvvBHSDjL5DWWAmQB/sP3//6KXT4eDQ6fNh82IZ/K4lMv+c4guIJKpw42gmOyKHX\n5sPRakNzWhMKqFCmIHM7wSuTc3+K6ZufnZ0tRmSPHj2K0lKhITkhpE8HNRyLxRIRwbVarREpOl0C\nWV10CW51OcKVlZVRHYfBYEgHdbSBvrhZHJMrrh2VD4dU4ovG0H31otz4qmFGKkn3/2jpX0k6tC0g\nN8IT5hxrScjmaCLDAICx40M/nw6JaHXR5hn5pS6M0U11dTVeffVV0RFWqVS44YYbcN5550lsWfKR\neW0wnX0hJVooAQBPeRys2wgfL2Ts6BRZmJ53W2JPykSzhgxRqcAtuBHc45tArrkZCBfS+uY4+PU/\nR+CPj4E2nJbOSInI0SuxalZIt+m9mjZ8dKpnDXDReCW44J+dkhSirkkDBwmVTPmdtoTb2kVMkeHZ\ns2fj5z//OQwGA7KzszF7tvAGq7KyMuqo7KpVq7B7926MGzcOJ0+eFOuAAWDbtm2YNm0aysrKYLVa\n8cgjj0Q4xzk5OWKqdH/HYTAY0kF3/AVwBh2Z9EyQG26V1iAGvjybmBRpIDFtlXiZAR5v6IGopqHa\nIxqlM0zGju8SqASt7cUZ7gz0sheDMTL45z//iffeew802JJMp9Ph+uuvR0ZGT2GbkQ7xO2FueF4U\n6JO6hRIAfN38OmwdXwn2gWB24T1QyHrWWMYTXVMzFJ3CNeA5gvYCJpoVK0SrB7nhVtArrwXd+yLo\nh29BrBf64iD4Lz8FmXsVyHW3gKSPnjT0744z4fMGFz4IOsHPHDqL8zM1yNaHstFUKg6FY5U4XeOF\nRlWIky0qWGSncAAONJFzyJLPRRHOT4q9MTnDt956K0pLS2Gz2XqkLUcbmbVYLKLjHH4MABF9gnNy\ncrBly5aYjsNgMKSBHjsCWvmBOOaW/wREzfrySUm7J4DqFmEBxBFgSk58fx/t8XKGw9oq8XJDRGRY\nDVXYtigjOWPCIsN1p0D9flyYpQVPgVyzHkUmlrbPGHlQSnHkyBHs379fnDObzbj++ut7/M2NCngf\nzI1/g8wvpAYLLZRul6yFEgC0uE/hmG2nOJ6UtRhZ2sTWb3M+HwyNVnHszMlGQMlEs4YKMaWBLLsH\ntGwx6O5toIc+FDZQXqgxPrgP5KrrwN+6UlpDk8iqS3PwVZMbVqcPLh+Pp/Y34NGyIsi4UDnCuPNU\nOF3jhVymQWcgB518Jarl1cgmCmjktJ+jx5eYCwQsFgvmzJkToRw9Z84cjBs3Li6GMRiM4Qnt7AD/\nwp/EMZn1HZBpsyS0iAEAR8+6xAjpeRlq6JXxSwvkeQqnI1QzPBRnWNZNQMsTNlZSZdi2KCPDBiOQ\nHmwf5fcBZ89g/gQzHijNx5p5FlyQldgoDIORbCil+PjjjyMc4aysLNx0002j0xGmPIzWHVB4hNY4\nFARtubfAry6QzCQ/70Fl3TPgqfASMV1jweSsxQk/r7G+ERwv3Kt9KhWcWaMnWpkMSHYeuLt/Bu7h\np4DJl4Q2+Lygb76MpnuWgH9nN2iwZGEko1XIsLY0H12+7/FzbuwKKk13YTTLkJ4lPMu1qjFQNWfg\nR8pcLFBkYCyXvHZVUZ1p8+bNKCkpwZQpUwAA27dv7/fzy5YtG7plDAZjWEJ3bQVagu179AaQH94t\nrUEMAJEp0hflxjdF2uXgQYO+sEZLoFD0LUTj8Xjg9XoBCCI+Gk2kM9pDQCssUqzgZehqRBh1zTAg\n1A0Hv5O0thqkkL20ZYxMAoEA3n33XZw4cUKcKygowMKFC6FSqfrZc+Sib34TatcxcezMXAivbpKE\nFgFfnN0Oh1eo25VzKswp+Ck4ktjFv9LhhNYeUvJnolmJgxSNh+z+X4F+9SX4l/8K1H4LAKDOdmDH\nX0Df3QNyw49GfDumC7I0WDo1E3+vEsSGt1edw/R8HSzpodKE4gkqtJzrgFZViOomNdI1PM60aTAp\nf3xfh407Uf3lVVdXw2KxiM5wTU1Nn58drXLiDAYDoN8eB31/rzgmS+8CMUqXhsYQoJTi88aQ2ODF\ncXaGY60XNhgMPZ4ZEQJaMkNEZFjOhxYN0dYMA0FF6c8F4UXUVgNzy/rfgcEYhvh8Przxxhs4deqU\nODd+/HgsWLAA8ijV10caGvsBaO0fieMO01y4zaUSWgTUtR9GdVhbp0tyfwSDKqefPeIAz0eIZnWY\nTfAa9Ik9JwNk0kXg/uP/QA9/DPrqVqHNHwA024R2TO/sBrdkBcj5I1f8d8nkDBypd4rtlp78RGi3\npJILz/O8AgVUagLqNuO4NQtVDcJaRXsBRVFRcmyM6u64fv36iPG6desSYgyDwRi+UJ8X/F+fFhql\nA8CUGSCzvyupTQyBBodPbCWkkXM4P86pwfGqFwbvA8cLPVApOPiJEr7gmICDjA/VEEVdMwyAFFlC\nIlr1p6Lej8EYLnR2dmLPnj1obGwU5yZPnowrrrgC3AiOPPWH0vUV9E17xHGnbjKcmddIaBHg9rXi\n04a/iONC4yyMM89L+Hn155qg8HgAADzHMdGsJEI4DuTSeaDTS6A7/BEcL4aJi9Z+C/7//hOYNgvc\nTXeA5I2R1tgEIOMIHijNx/2vn4QnQFHX7sULX5zDXTOFF0CcjKDIosQ3xz3QqsagPSgod/LkSRQl\nyRsenXdIBoMRd+jeHcDZOmGg0oC79acsUyRFCI8KT8vVQs7F9/cS3mN4aOJZ4fXCenj4UBcBpUwP\nzh8I2z6INOmC4tDPdadEZV0GYyTgcDiwc+fOCEd41qxZuPLKK0etIyzvrIPp7N9Bgq/BfKpCtOfc\nDBDprgelPA7Wb4Q3INyPNfJ0zMr/ccKfkzKPF4azIVV+R14OeAUTDkw2RK6AduHN4B7bBHL1DwBF\nmHBZ1afg/2cN+G3PgLbbpTMyQeQblfjxjFD2w56vWyNaPY4drwIhgE41FgbNebh+0VLMnTs3afYN\n6q5w8OBBlJeXw2brvfeTzWbDY489FhfDGAzG8IGeOQn65svimPzgNpCMLAktYoTzeUPooRPvlkpA\nZJq0cUg9hsPrhSPFs1QyA7hAjM5weiagCf6/O1xAa3P/n2cwhgktLS146aWX0NISEqaZN28eSkpK\nRu3LSM7XClPjX0GoIFIUkKfBnnc7wEmrmvx18xuwuv4ZHBHMKbwHSln878fdMdU3gARfAPo0argy\nR19brVSCaHXgbrwd3KPPgJRcAXT9nfI86AdvgP/PVeBffwnU65HW0DjzvQkmzCoIfd9/f6ARTq/w\nTNdoOeQUKKBWZiPTWAJvR3ZSSzuidoYfeughPPvss9i1axfWrFmDQ4cOids6OjqwadMmrFmzJkJd\nmsFgjHyo3w/++d+FeutNmARy+dXSGsUQ8QV4HLWGxLMuibMzHPBTuJzByDAB9IbB1QyHI+tHPEsv\nS0fX0p7nyKCEXwghQMHY0ARLlWaMABobG7Fz5044nUKkkeM4LFiwABdffLHElkkHCbhhbtgCWTD6\nynMa2PNXgMqlrY9tcZ/EUdtL4nhS5kJkJ0HES93WDnW7cF+lAOyFBSHniyEpJD0L3J0PgFu3Abgg\nrDVspxt01wvgH/4p+IP7RkwmEyEE987Og1ElrBGa3X785UiozVfxhNDLqm9PtMPvS7HWSuXl5cjO\nzsaWLVuwZcsWzJ49G08++STcbjcqKiqwevVqnDt3DuvXr8cDDzyQaJsZDEYKQd/eBZwOiurJFeBu\nXzOi1RGHG1+dc8MTEB4quXoF8gzxjY442kPRWp2eg0ze/0LL4Qg5vCaTKWJbuHgWLzPAEwildxu4\nkBAblQ3+jTEpLA7tX1c76P0ZjFTi1KlT2LVrFzo7hd7hCoUC1113Hc4//3yJLZMQ6oep8QXIfUHl\neMjQlvcjBJTSZin5Ap04UPeniDZKU7JvTPh5SSAAY7hoVkYafDoWsEo1SNF4cGsfAbfmYSC8Zrjl\nHOifnwT/+L+DfvuVdAbGEbNGjp9cGkqXfq+mHQfrhDVBZrYceoOwdvT5KOpqvUmzK6oVRUVFRYRo\n1j333IODBw/ijjvugMViwdq1azF16shVQmMwGL1DG8+A7vmHOCaLl4HkFkpoEaM7n4fV5cQ7Kgx0\nqxc29h8VppSirS3U2qN7ZDi8ZjggN8IT5hzrSMhxHlSKdBdhzjDqTg1+/1GC1WpFZWUlxo0bh5Mn\nT6KsrAw6Xe/fm5qaGtTU1MDlcqG6uhrLly9HTk7OoI/DGBxfffUVKioqxIiRWq3G4sWLxWs/KqE8\njNaXoOw8KU6159wMn0b6Nmqfn30BTq+gIizn1ElpowQAhrM2yH1dqeIytOflJvycjNgghAgiWpOn\ng370Fmj53wFH8Fl58l/gn/iF0IbpB7eDZGRLa+wQKS0yYl6xEx+eEp7vfzp4FpMyNTCq5SieoMKx\nz91QqTjw/AAHiiNRhW+sViuys0MXvysV+oEHHsDjjz/OHGEGYxRC+QD4v/4B8Aebx4+dADL/emmN\nYvQg0c5wuz2sXtjcv5Pq8XjgCy7Oeu0xHF4z3K2tko4zhm0bvDNMwtKkmaJ032zYsAGLFy/GtGnT\nUFZWho0bN/b6OZfLhZqaGpSVlWHx4sUoKyvDo48+OujjMKKHUorDhw/jnXfeER1ho9GIJUuWjG5H\nGICu+S2onVXi2JlxNTyGaf3skRxOt1XipP1DcTw97/bEt1ECIHe7oTvXJI7b8/NAR2lBNcAZAAAg\nAElEQVR7reEEkcnAffcacI8+C/L9HwBhvzP66Ufg1/0E/K6toJ1u6YyMAytn5iBNI/zf7J0BPPup\nkC5dWKzExZdqcPMdxbBMTF5f9JhzGbVaLaZNk/5Gw2AwpIG+txeoPiEMZHJwd9wHEkvEjpEw7G4/\nTrYKIhwyAkzNjX+KXHhbJaN5cOJZ/fUYFmqGQ86wFvqwbTF8z8Jrhs/WgXa9xGGI1NTUQK8PXWed\nToejR4/2+lmr1Yrdu3eL4/Hjx8NqtYpOcrTHYUQHpRQfffQR9u/fL85lZmZiyZIlSEtLk9Ay6dHY\nD0AX5nB2mOagw/wdCS0ScHmbcLhhizguMpWg2JQEhVxKYT7TIGosePQ6uNPM/e7CSC2IVgfuB7eD\n+/WfQGZeFtrg94G+vgP8unvAf/IuaDLDp3HEoJLh3tmhTIVPTjvwcW07FEqCMeNUkMuTW2oX82si\nQsioVSpkMEY71NYAuutv4phcsySiJpORGnxxNhQVPj9TA60ivi8rKKWDigzb7aGWET16DAOQBcKd\nYVNEmrQG2rBtMdQMa7RARjbQbBPE3s7WAbms12Y4NputRyqzXq+H1WrtEXm0WCxYv369OK6uroZO\np4NOp4v6OBUVFaioqAAArF+/HpmZmXH5f8jl8rgdKxXw+/145ZVXcOzYMXGuuLgYy5Ytg1qtjvm4\nI+I6tXwOEtZLmKZdBPXEFVDHqYVSrNeIpwHs++Jx+HhBvNCozsX3pjwIlTzxpQJcfQPkHcJ5KSEg\nUycjM8ElCiPiu5QEBn2dMjOB//wNvMe/hGPL7+D/NhiAaGsFff53kH38Fgx33g/lpOEXnPx+ZiY+\nt/nw2nEhKrz5iA2XTxqDNK0i6d+nqFcUd955Z8TY5XJh9erVvX72ueeeG5pVDAYjZaE8L6RHe4Pi\nBgVjQa65SVqjGL0S3lLpkvz4L4Y8nRRej5CuKZMDWl3/C9DwemGzuWekgvOHtgfkpojIsJqqgGDP\n0Jgiw4BQN9wstAakdbXAxbNiO84IpUuVuDsul6vX+XCHt6KiAqtWrRrUccrKylBWViaOm5qauu8S\nE5mZmXE7ltR4PB7s3bsXdXV14tz48eOxYMECOJ3OPq91NAz36yR31yKt4c9hvYTHoDXtRqC5ZYA9\noyfWa3TUuhNn248DAAg4zMpbCYfdDQcSm97K+XzI/tc34tiZnQmH2w24E3ve4f5dShYxX6fsAtB/\nXw9ycB/oK38F7MJ33P/tCbT+xz0gl84T6onTh1dLy+VTjDhwqhnNHX7Y3X48/tZx/Pw7BXH7PuXn\n50f1uaic4eXLlw/JGAaDMXKgH7wO/CvYK5HjwK24H0SukNYoRg94SiMiwwmvFzbJBswWCk+T7q4k\nTXgPOF5QxqVEDspp0RneZ5hXABBewPAxqEkDACkoBv0y2BaQiWj1QK/X93BYo3G2KioqUFpaijlz\n5gzpOIxInE4nysvLIxaF06ZNw7x588CNcsV+mfcczI1/A6F+AIBfkQF7/m2S9xIGAKvrOI43lYvj\nKdk/QKb2vKSc29hwFlxASJ31KxVw5AxvsSVGCMJxICVXgF4yB/TNl0HffhXwCc9EeuhD0C8Oglz9\nA5Dv3QCiTF697VDQKoR06V+9L7zs++S0AwdOO3BdkrMMolpRLFq0KNF2MBiMYQA9dxb05b+KY/L9\nm0DGjpfQIkZfnGr1wN4pOKsGlQyWtNjTKftiMCnSQGRkuGdbpfCosBEgJKLPsJLKITrDQ4kMB6H1\nrL1Sd8KFMsOxWCx97lNVVYXs7OwIDZFYjsOIpKWlBbt3745oRVZSUoKZM2eO+hI14nfA3LAFXDAF\nmed0aMu7A1QmbS9hAPD4HThY9yy6sliydRfigsyFSTm30uGEtjVUitJWWDCofuyM4QFRa0CuvxX0\nsvmgO58HPfKJsMHrAd29HfTjCnBL7gSmlwyLe8X0fD2utJjwXo2wBnjm07OYNym5XUnYXwmDwYiK\nUHq0IMiE/CKQhUulNYrRJ5+FqUhfnKuFjIv/QzFSPCt+zjAvM4GnPLyB0P9BHgjZH0vNMBDZa5hF\nhntisVgiIrhWqzWiW0SXQFYXXUJZXY5wZWVlVMdh9E9DQwNeeukl0REmhKCsrAyzZs0aFovbREJ4\nD8yNz0PmbwUAUKKAPf82BJTS16tSSnGoYTPcQdtUMgPmFNwDLk71y/3C8zCfqReHHWYTPEZDPzsw\nhjskMwfcPb8A97P/BxSGtRBrtoF/dj34DQ+D1p+WzsBB8OPp2aK6dFtnAL/dV5PU8zOddQaDERV0\n3xvA10FFWI4Dt+LfQBQsPTpV+awh5IwkIkUaGFxk2O/3R0S5uvcYloU7w6J4lhBdUckMkAUCYdtj\nfHRl5wFyhdAOzN4M3tE+8D6jjFWrVmH37t1if+CuOmAA2LZtm9gqyWq14pFHHolwjnNycsRU6f6O\nw+ib6upqvPnmmwgEv+8KhQJXX301iouLpTUsFaABGM9ug8LTIAxB0JZ7C/zqIokNE/im5W00OD4X\nx5cWrIRGkRylb4PVBnlQx4PnOLQXMHHA0QI5fwq4hzeAfvQO6KsvAM7gc/ZEFfhf3wdyxbUgi24B\n0UqfOdEXepUMP700B4/tE17ovP31OczKVeLSwuS80GHOMIPBGBBqawTd+bw4JgtuAClOTg0UY/A4\nPX58dS4kmDI9P/4PwUCAwtkeautgNPXvDHd3hOXdHNru4lmdYWO13ATO4xfHsaZJE5kMyC8CTlcD\nAPy11UDumJiONVKxWCxiOnP39olr164Vf87JycGWLVvQF/0dh9E7VVVV2Ldvn9hDWKPRYNGiRaO+\nhzAAgFIYbLug6giJQzmyrodXN0lCo0K0uE/hS+s/xPF56QuQb7g4KeeWd3ZCbwvvKZwLnr2oHlUQ\nTgZy+fdBZ14GuufvoO/vBXge4HnQd/eAHvoQ5MbbQEqvAknR1PlLCw24vNiIfaeEl9Sf1juT5gyn\n5hVhMBgpA+V58M//LjI9+rpl0hrF6JdPT9vBC+tpjE9XielH8cTZHkBwzQ6tjoNc0X/6Zn8p0gAg\ni+gxbIx0hmUmcP6wyHCMAloAQML6Dftrv435OAxGvKCU4pNPPsEHH3wgOsImkwlLlixhjnAQXcvb\n0DiOiGNX2lXoNF0qoUUhfAE3DtQ9DT4o5pWmLsZFOUkqIaIUpjP1IMHvjVerRUdGenLOzUg5iE4P\n7od3g3v4t8D5YaUpjjbQv/4B/Pqfg578pu8DSMxdM3MwxqTEfy2YiJ9emjvwDnGCOcMMBqNf6Ht7\ngG+EFhHgOHB33s/So1OcytpW8efpeYlJjWq3h0WFh1gvDPQWGQ4JwejkaeJijxICOpT657C6YX9t\ndezHYTDiQCAQwNtvv40jR0KOXk5ODpYsWdJr+7HRiMa+H7rWD8Sx2zgTrvSrpDMoDEopjjQ+D6dX\n6JUq59QoKVwNGZecZ6S2pRUqV7CnMAD7mAJglNeVMwR9DO7BR8Gt+jmQHlZPf/Jf4B//Gfi/PQ2a\ngmVCRpUMv792HBZckJ1UfYSYneFTp05h06ZNeOyxx8S57du3w2azxcUwBoMhPfRsPegrL4hjcs0S\nkLETJLSIMRCUUlSeCjnDMxLQXxjoXi888KMk3Bk2Go09tnPdaobDI8NGEop0BOTyIS32CHOGGSmC\nx+NBeXk5vv76a3GuuLgYN954I7RarYSWpQ4q51Hom14Txx7tBXBkXZ8yDt8p+0eobdsvjmfmrYBB\nlZyIFufzwVjfKI6d2Vnwa+LfNYAxPCGEgMy8DNyv/wRyzc1AV2kSpaAfvQ3+4Z+A3/cmKB/o/0BJ\nhpPgbzsmZ7iiogK//vWvYbFYUFVVJc5nZ2dj27ZtcTOOwWBIB+UDQnp0sI8dCotBrr1ZWqMYA3LK\n7kGTS/id6ZQcJmZqEnKewSpJ2+2hSG/vadKRzrA7bKznzGHbYmyr1EVhWJr06RpQnu/nwwxGYnA4\nHNi5cyfOnDkjzk2ZMgULFy6EgmXeAAAUHTUwnn0RJCik51ONQVvuLQAZ4j0gTrR11uNIY6jV4Djz\nPIw1lybt/Kb6RnB8V09hJRy5rKcwoydEpQZ3w63gfvVHYOrM0AaXA3Trn8D/v39P6dTpZBCTM1xe\nXo61a9eirKws4u1laWkpjh49GjfjGAyGdNC3XgWqTwgDmQzcivtB5GyRluocaQip+16Sp0tISyVK\n6aB7DLe3h1KyeqR/8l5wvCD4RSEDL9PBE+YM6xCKJMesJB2EGNMAg+CM00430GQd0vEYjMHS1NSE\nHTt2oLm5WZwrKSnBFVdcAS5FxW2SjczTCNPZF0Ag3Gf8iizY828HOKXElgn4eQ8O1D2NABVePBqU\n+Zie96OknV/V1g6NPXSPtI9hPYUZ/UOy8yC777/A3bsOyAzTIqj9VkidfuGPoM7US51OBjH95Tgc\nDlHUITyn22q1QqdLTEoeg8FIHrTuJGh5KMuDLFwKUmSR0CJGtIS3VJqRABVpAPB0Ung9QrRGJhcE\ntPqDUtpvzXB38SwQLiJNWgtt2PY4RIVYv2GGRJw+fRo7d+4UW1JxHIf58+ezHsJhcL4WmBu2gOM7\nAQABmQH2/BWgstRZX37euBVtnjoAgIwoUDrmXsi55KQok0AAproGcdyRZobXkLptcxipBbnoUnC/\nehrkuluEVoOAkDr94VtC6vRHb4+6jKmYnOGSkhJs2rQJHR0d4lxHRwc2btyIkpKSuBnHYDCSD/X7\nwP/lt4A/2Mqm+DyQq5dIaxQjKlzeQGRLpWT0FzbJBlzEu1wusW+qWq2GSqWK2N5dPAtARJq0GqFF\n5lCUpLsgBcXiz7S+dsjHYzCi4fjx4ygvL4c32A9WoVBg0aJFmDQpNdoDpQIk4IS54TnIAkIrNp5T\noS1/Bfgk9euNhlr7ftTYPxDHl+TdBrM6eS3aDI1WyH0+AEBAJmM9hRmDhihV4BbdAu5XT0emTjsd\noH97GvxvHgKtOymdgUkmplXFypUrsWHDBqxYsQIA8Mtf/hI1NTUoKyvDsmWs5QqDMZyhe/4BdN0E\nFUpwdz4g9GdlpDxfnHVFtFQyJ6ClEjD4euGB2yqF1wsLKdHhatJqXgWgM7h96N9FMnMukJMH8+SL\n0aZnir2MxEIpxaFDh3Dw4EFxTqfTYfHixcjMzOxnz9EF4T0wNzwPuU9IH6dEjra82+BXpY6z5/A0\n4nBjqL92kakEFvPlSTu/wtUBXVMovb69IG/IpSOM0QvJzgO35mHgy4Pg//FnoDkoglx9AvwjD4Bc\neR3I4ltA1CNb0C/mv6C1a9fCZrOhpqYGAGCxWJCdzYr3GYzhDK0+AfrGy+KY3HgbSF6hhBYxBsNn\nYfXCiWqpBHRXko5HW6VQmnRAbkKA98LHC5lHBBwUfCiJKR4LPzL+ApDxF0CZmQnS1DTk4zEYfREI\nBPDee+/hq6++EucyMzNx3XXXwWAwSGhZikH9MDVuhcJTLwxB0J6zFD5N6pTn+Hkv9tc9DX8wfVuv\nzMXMvBXJS2/neZjP1KHrbJ0GPdxp7GUeY2gQQoCL54CbdDHo3h2gb78KBPwAz4NW7AY9/DG4H94N\nTC8ZsaUcMa0qli5dipKSEpSWlmLOnDnxtonBYEgA9XSCf+63AA3Wipw/FeTKhdIaxYgaSmmEMzyj\nIHH1dXF3hgPd2yqFnGO13AQuEAjbzqIgjOGBx+PB3r17UVdXJ84VFRXh6quv7lEqMKqhPIzWl6B0\nfytOObIWw6OfIqFRPfn87FbYO08DADiiQGnhvVDIEqPW3xt62zkoOj0AAJ7j0MZ6CjPiCFGpQW68\nDbTkCvDbngW+Dgoi25vBP7semDoT3C0rQbKS0zosmcRUM/z4448jKysLzzzzDJYuXYqnnnoKx44d\ni7dtDAYjidCdWwBbUJRDrQG34t9AmDrlsOFkqwctbqHO26CSY2JGYhZpfIDC2R4S1zCa4p0mbYpM\nkZabwHXVrwPgWco+YxjQ3t6Ol156KcIRvvDCC3HdddcxRzgcSqFv2gO1M9Sm05lehk7TbAmN6kmt\nfT9qWt8Xx5fkLkeaZmw/e8QXeWcnDNZz4tiRl4OAMjWUtRkjC5I3BtyDj4L8eK3YeQEAcPQw+P+5\nF/wbO0HDnskjgZhesVssFlgsFixfvhw1NTXYv38/Nm7cCJfLhdLSUtx1113xtpPBYCQQevQI6Adv\niGNyy0qQDFb2MJw4XB9SkZ491pyQlkoA4GgPgAbrkrU6DnLFwOcZOE06XEDLiE5vKHVZLTeB62CR\nYcbwwWq1Ys+ePREioyUlJZg5c+aITTOMFW3ru9C2VYrjDlMJOtKulNCinrR7GnC48TlxXGScg/HJ\ntJFSmM7UgwRvvF6tBq7MjOSdnzHqIISAzPku6NSZoK++ALrvTYBSwOsFfeVvoAf3gbv1pyATRob4\n35DDPhaLBbfeeitWrlyJKVOm4J133omHXQwGI0lQRzv4v/4+NDG9BKQktRYjjIH5NMwZnjsuPWHn\naWsNOaamtOiitANHhsNbKw0QGY5HayUGI0FUV1fj5ZdfFh1hjuOwYMEC1jqpFzRtB6BveVccd+ov\ngjNzYUql/voCndh/5g/w80J6skGZi5n5dyb1d6ltaobKJXyfKAD7mMKUukaMkQvR6cEt/wm4h34D\njBkX2lBfC/6JXwi9iV3Ovg8wTBjSK/aDBw+ioqICVVVV0Ol0KCsrw/r16+NlG4PBSDCUUvAvPA20\ntQoTRjO4W1ezRdsww+7245tmQdSFI8Cc4jR4nW0D7BUbg3WGPR4POjsF22QyWc9e9NQPLiA8TCk4\n8DJDRI9htczMaoYZKQ+lFF988QU++ugjcU6lUmHhwoUoKCiQ0LLUROX4Avpze8SxR3Me2nNuAkjq\nlOZQSvHhN3/s1k94TVLrhGUeL4yNVnHszMmGX5OcfsYMRhfEcj64/9wA+u4e0PLtgEd4ptMP3wL9\n4iDID+8GmXnZsF07xrSqePTRR3H06FFotVqUlJRg/fr1GDdu3MA7MhiMlILufw/4PJSixt1xH4jB\nKKFFjFg43OBEMHMZk7I0MKoVaErQy9rBOsPhUWGj0djjYclFRIUNAOEiegwbOLOonsrLOBYRYaQc\nPM9j3759OHr0qDhnNBqxePFipKWlTn/cVEHp+hpG60sgwbuWTzUG7XnLAZJaL7pO2vfhhLVCHAv9\nhIuSZwClMNXVg+MFjQafWgVHTlbyzs9ghEFkMpDvXQ86Yy74v28EvjwkbGi3g276X9D974Fbfg9I\nZo60hsZATHee7OxsrFu3DlOnTo23PQwGI0lQWyPo3zeJY3L590HCm68zhg3h9cIzCxLXUonyFG32\n2J3hAcWzZF09hkNzOmIK255ai2UGw+Px4M0330Rtba04l5eXh2uvvRZa7cjuzRkLCvcpmM5uA4Hg\n4PmVObDn3wHKpZaoWKu7Fp81/k0cF5suS2o/YQDQtNihdnRlzQTTo5moJUNiSEYWZPeuA/3sgOAU\n21uEDceOgP/ve0EWLwe56jqQYSR2GdPKYuXKlfG2g8FgJBEaCID/ywbA4xYmcgpAltwprVGMmPAF\neHzeGBLqmZVAZ9jp4MEHfWG1hkClHnhhFu4Mm809e2JGimcJjm94zbCO6AEIJ2Up0oxUwuFwoLy8\nHM3NzeLceeedh/nz50POvqs9kHsaYWr8Kwj1AQAC8jTY81eAylLrpYE30IH9db9HIGinSVWIGfm3\nJzUFlPP5YGpoEMeurAz4dKl1nRijGzK9BNwF0wSBrQ/eCApseUBfeg700IfgblsNUjReajOjIqq7\n9ebNm1FSUoIpU4Seb9u3b+/388uWLRu6ZQwGI2HQvS8CNV8LA5kM3F1rQVSsDmk48k+bG51+IcqS\nq1eg0Ji4dhvJEM8CIiPDWqoF4AhuHz5vmhkjm94Uo2fOnImSkpJhWzeXSGTeJpgbngPHC7WGvEwP\ne/6d4t98qkApxaH6zXB6bQAAhUyD0jH3Qc4l8flIKUx1DeACXdFzJRy5I6+3K2P4Q7Q6kGX3gM65\nAvzfngbqgxkytd+Cf+xBkPnXgyy6BUSZWpkf3YnKGa6urobFYhGd4Zqamj4/yx4CDEZqQ7/9CvS1\nHeKYLF4OUnyedAYxhsShsBTpWQX6hN6DE+EMc2FR4IDcBEpppIAW1Ag5wyzaxpCeb7/9Fm+//Tb8\nQZVzjuNw1VVXYdKkkdFmJN5w/jaYG/4iCuXxnBr2/BUIKDMltqwnXze/gXrHYXF8xcR/g5HLS6oN\nansbNG2hl4T2MQWgMpYezUhdiOV8cOueAn3rFdDXXgT8PoDnhfFn+8H9aDXIpIukNrNPolpZdFeI\nXrduXUKMYTAYiYW6O4T0aCq8ccbEySALbpDWKEbMUEqTVi8MAG2toRZHprToHNOBneHIyLCf70SA\negEAMqKEPMCFbWeRYYZ0UEpx+PBhHDhwQJxTq9W45pprUFhYKKFlqQsJOGGu/wtkwZdelCjQlnc7\n/Kp8iS3ric11AlXWF8XxhPT5OC/7cjQ1NfWzV3zhfH6Y6sLSozPS4TUk9r7OYMQDIpeDXHsz6MzL\nwL/wR+DroKDgubPgNzwMMrcMZMmdILrU+z7H9KopPC0oHJvNBpvNNiSDGAxG4qDbngGagm0aNDpw\nd64F4ZiDMVw50+6F1SnUtWnkHCZnJ66mjNLBi2f5/X44HEJUlxACg8HQ4zOybjXDEVFhuQmysLZK\nARYZZkiE3+/HO++8E+EIm81m3HzzzcwR7gMS6IS5YQvkvnMAAAoZ2nKXw6cpltawXnD77DhQ9zRo\nUNgrQzMBF+ckv+TPVN8g3vP8CgXa81l6NGN4QXLywT34KMht9wKaUCtF+kkF+P9eDfrZgX72loaY\nnOEVK1b0Ol9TU4PNmzcPySAGg5EY+APvgx7cJ47JrT8ByWBtGoYzn9aFosKX5OugkCUuRbrDycMv\n+N1QqgjUmoHPZbeHUqCNRmOvokLhAlp8L84w5w9Fo/lhpE7JGDl0dHTg1VdfxYkTJ8S5wsJC3Hzz\nzb2KwjEA8F6YGp+HwiNEOSkI2nOXwqs7X2LDesJTPw7UPS3ee1QyA0rHrIGMS+7LN7W9DRp76P7X\nNqYAlN3zGMMQQgi473wP3K//CEwvCW1oawX/zOMIPLsetK1VOgO7EdciBIvFgurq6ngeksFgxAFq\nawDd9qw4JnOvAnfpPAktYsSDw93qhRNJ96hwNLXJra2hh12v/VZpQKwjpCDg5YYIJekezjCLDDOS\nTHNzM3bs2IGGMGXfCy+8EIsXL4ZazUQHe4X6YWrcCmVnqN2UI/sGePSp2Y6zyvoSznUIgpIEBCWF\nq6FVpCfVBs7vh6muXhy70tPgMfbMpGEwhhPEnA7ZT34J7icPAaawNcCR/eD/azX4/e+BUiqdgUEG\ntbJYs2aNuAC67777emy3Wq2wWCxRHctqtaKyshLjxo3DyZMnUVZWBp1O1+8+jzzyCB5++OGIua1b\nt6K8vBw6nQ4WiwUrV65ETs7wa/jMYCQK6veB3/R/kW2Ufsjaow137J1+nGgSfqcEwIz8/u+fQyUW\n8azwyHDvbZUcIBAehLxMDxAZ3N0jw52h8zJnmJFMTp06hTfeeAM+n0+cu+yyy3DJJZcwsdC+oAEY\nz/4DKvc34pQj81p0GmdJaFTfnGk7iK+bXxfHU7JvQo5+ctLtMNY1QOYX7nUBhRzt+ckV7WIwEgmZ\nXgru/GmgO7eAfvyOMNnhBN3yW9BPPwL3o5+CpEuXqTiolcXKlStBKcVjjz3Wa/uknJwcjBs3Lqpj\nbdiwAU888QQAYPz48di4cSPWrl3b62erqqpgs9lw9OjRHtsmTJiAHTt29LIXg8EAAPrqNqD2W2Eg\nk4O7+2cgao20RjGGzOF6J/jgC9VJWRqY1Il1FGNxhgeKDHdPkQbQf5o0E9BiJAFKKb744gt8/PHH\nYtRCoVBgwYIFUb/wH5VQHkbbTqhd/xSnnOllcJsvk9CovmnrrMehhlBpX77+YkzKXJh0O9T2NmjD\n0qPthQWg7F7HGGEQnR7k9jWgl84T2jB16dccOwL+v+8FuWkFyLwFkrxoHNTqaerUqeK/c+bMifmk\nNTU10OtDKX06na5XR7eLadOmAQC2bdsW8zkZjNEIPfYZ6FuviGNy420gY4dHE3RG/1SeCaVIzxmT\n2HQ6SumQneHeIsPdxbOA7s6wGZw/LDIsY5FhRmIJBAJ4//33cfz4cXHOYDDguuuuQ2Zm6rUCShko\nheHcbqgdX4hTHebvoCPtSgmN6htfwI1PzvwWft4DANArszG78B4QktwWRpzPD9OZUHp0R3oaPCZj\nUm1gMJIJmXQRuP/5A+iuF0Dfew2gFOh0g279E+jhj8Hddi+Q5HttTH/1Q22tZLPZeqRE6/V6WK3W\nQR+rK926qqoKW7duhcvlGpJtDMZIgdpbwD/3VGhi8iUgZYukM4gRN9w+Hl80hu51lxYmtl64003h\n9QgRMrkC0OoGfnRQSiPSpAeODAsLwHBnWMuZwPGCuisFWK9NRkLp6OjArl27Ihzh3NxcLF26lDnC\n/UEp9E17oWk/JE65jZfCmXE1kILp5JRSHKzfBIf3LAChhdvcMfdDKUtsqUkvhsBUVy+qRwcUCrSx\n9GjGKICo1OB+eDe4nz8O5BaENpyoAv+r+9Dx+k7Q4LM/GcT8mr0rbbk353PRov4X3E6ns9f5WBzZ\n8FpjvV6PDRs29KgrrqioQEVFBQChZ3K8HmpyuZw9IKOAXaeBifc1ooEA7L//FbwOwbHg0jKQ8bNH\nwJmTKwoSb9h3SeCDb5vgC+ZIWzK0mDousmdnvK9TbY0TgNAPODNbg6ysgWt7nE4nPB4h6qJUKjF2\n7Nge6U/E2Sn+rDYVQJ2ZCX9t6DmQZy4EEGzXp1QiM4rzDgb2fWJ00dzcjD179qC9PdT3+oILLsCV\nV17Zqwo6I4Su5R1o2z4Rx27DJXBkLU5JRxgAvmrag3rHYXE8q+AumNVjkm6H2vVP/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NzB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\nRU5ErkJggg==\n",
"text/plain": [
"<Figure size 1152x504 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"Ns = np.arange(10,101,15)\n",
"\n",
"rsq = np.linspace(0,1,100)\n",
"theta = 0\n",
"phi = 0\n",
"rho = np.array([(r*np.cos(theta)*np.sin(phi),r*np.sin(theta)*np.sin(phi),r*np.cos(phi)) for r in rsq])\n",
"\n",
"r_lie = np.zeros([Ns.shape[0],rho.shape[0]])\n",
"r_cor = np.zeros([Ns.shape[0],rho.shape[0]])\n",
"\n",
"\n",
"f, axarr = plt.subplots(1, 2, figsize = (16,7)) \n",
"\n",
"for idN in range(Ns.shape[0]):\n",
" \n",
" lie_est = lie_trunc(Ns[idN])\n",
" a = .0/np.sqrt(Ns[idN])\n",
" b = .5/Ns[idN]\n",
" c = .0/np.sqrt(Ns[idN])\n",
" \n",
" corr_est = lie_corr(Ns[idN],a,b,c)\n",
" \n",
" r_lie[idN] = risk(Ns[idN],rho,lie_est,sq_error)\n",
" r_cor[idN] = risk(Ns[idN],rho,corr_est,sq_error)\n",
"\n",
"lines = axarr[0].plot(rsq,Ns**2*((r_lie-r_cor)).T,linewidth = 3)\n",
"\n",
"axarr[0].legend(iter(lines), Ns, loc=2)\n",
"\n",
"#axarr[0].set_ylim(0)\n",
"\n",
"axarr[0].set_xlabel(r'$\\|\\boldsymbol{r}\\|$')\n",
"axarr[0].set_ylabel('Relative Risk')\n",
"\n",
"rsq = np.linspace(0.9,1,100)\n",
"theta = 0\n",
"phi = 0\n",
"rho = np.array([(r*np.cos(theta)*np.sin(phi),r*np.sin(theta)*np.sin(phi),r*np.cos(phi)) for r in rsq])\n",
"\n",
"r_lie = np.zeros([Ns.shape[0],rho.shape[0]])\n",
"r_cor = np.zeros([Ns.shape[0],rho.shape[0]])\n",
"\n",
"for idN in range(Ns.shape[0]):\n",
" lie_est = lie_trunc(Ns[idN])\n",
" \n",
" a = .0/np.sqrt(Ns[idN])\n",
" b = .5/Ns[idN]\n",
" c = .0/np.sqrt(Ns[idN])\n",
" corr_est = lie_corr(Ns[idN],a,b,c)\n",
" \n",
" r_lie[idN] = risk(Ns[idN],rho,lie_est,sq_error)\n",
" r_cor[idN] = risk(Ns[idN],rho,corr_est,sq_error)\n",
"\n",
"axarr[1].plot(rsq,Ns**2*((r_lie-r_cor)).T,linewidth = 3)\n",
"\n",
"axarr[1].set_xlabel(r'$\\|\\boldsymbol{r}\\|$')\n",
"\n",
"axarr[0].set_title(r\"(a) $Z$-axis\")\n",
"\n",
"axarr[1].set_title(\"(b) Near-pure states\")\n",
"\n",
"plt.savefig('../fig/qubit_coin.pdf',format='pdf',bbox_inches='tight')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Optimal hedging\n",
"\n",
"Here we plot the optimal hedging versus the asymptotic approximation."
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"C:\\Users\\Chris\\Anaconda3\\lib\\site-packages\\ipykernel_launcher.py:4: DeprecationWarning: object of type <class 'numpy.float64'> cannot be safely interpreted as an integer.\n",
" after removing the cwd from sys.path.\n",
"C:\\Users\\Chris\\Anaconda3\\lib\\site-packages\\matplotlib\\ticker.py:2198: UserWarning: Data has no positive values, and therefore cannot be log-scaled.\n",
" \"Data has no positive values, and therefore cannot be \"\n"
]
},
{
"data": {
"image/png": 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CRggkFnFnGOIOMBtxZ46ewWHVHA9q7xG/OiJDcdd/vMSux9Z5VV6Qw6HImFeI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\nTkSuQmCC\n",
"text/plain": [
"<Figure size 720x288 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(10,4))\n",
"\n",
"def S_N(N):\n",
" k = np.linspace(0,N,N+1)\n",
" return N/2**(N-1)*np.sum(sp.special.binom(N,k)/np.sqrt(N**2+(2*k-N)**2))\n",
" \n",
"x = np.linspace(2,100,100)\n",
"y = np.array([S_N(idx) for idx in x])\n",
"plt.loglog(x,1-y, label = '$1-S_N$', linewidth = 3)\n",
"plt.loglog(x,(x-1)/x**2, label = '$1/N-1/N^2$', linewidth = 3)\n",
"\n",
"plt.xlabel(\"$N$\")\n",
"plt.ylabel(\"$h$\")\n",
"\n",
"plt.legend()\n",
"\n",
"plt.savefig('../fig/h.pdf',format='pdf',bbox_inches='tight')"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.6.3"
}
},
"nbformat": 4,
"nbformat_minor": 1
}
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