{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# The Power Spectrum of Survey Data\n", "\n", "In this notebook, we explore the functionality of the ``ConvolvedFFTPower`` algorithm, which computes the power spectrum multipoles $P_\\ell(k)$ for data from a survey that includes non-trivial selection effects. The output of the algorithm is the true multipoles of the data, convoled with the window function of the survey. \n", "\n", "The input data for this algorithm is assumed to be from an observational survey, with the position coordinates specified in terms of right ascension, declination, and redshift.\n", "\n", "**Note**\n", "\n", "The data used in this notebook is not realistic -- rather, we choose the simplicity of generating mock data to help users get up and running quickly. Although the end results are not cosmologically interesting, we use the mock data to help illustrate the various steps necessary to use the ``ConvolvedFFTPower`` algorithm properly." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": true }, "outputs": [], "source": [ "%matplotlib inline\n", "%config InlineBackend.figure_format = 'retina'" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": true }, "outputs": [], "source": [ "from nbodykit.lab import *\n", "from nbodykit import setup_logging, style\n", "\n", "from scipy.interpolate import InterpolatedUnivariateSpline\n", "import matplotlib.pyplot as plt\n", "plt.style.use(style.notebook)" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": true }, "outputs": [], "source": [ "setup_logging()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Initalizing Mock Data\n", "\n", "We start by generating mock catalogs to mimic the \"data\" and \"randoms\" catalogs needed by the ``ConvolvedFFTPower`` algorithm. Here, the \"data\" catalog usually gives the information about the galaxy objects, and the \"randoms\" catalog is a catalog of synthetic objects without any cosmological clustering signal. The \"randoms\" usually have a higher number density than the \"data\" and are a Monte Carlo representation of the survey volume. \n", "\n", "In this notebook, we construct our fake \"data\" and \"randoms\" catalogs simply by generating uniformly distributed \n", "right ascension and declination values within a region of the sky, with redshifts drawn from a Gaussian distribution with $\\mu=0.5$ and $\\sigma=0.1$. " ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": true }, "outputs": [], "source": [ "NDATA = 50000\n", "\n", "# initialize data and randoms catalogs\n", "data = RandomCatalog(NDATA, seed=42)\n", "randoms = RandomCatalog(NDATA*10, seed=84)\n", "\n", "# add the (ra, dec, z) columns\n", "for s in [data, randoms]:\n", " s['z'] = s.rng.normal(loc=0.5, scale=0.1)\n", " s['ra'] = s.rng.uniform(low=110, high=260)\n", " s['dec'] = s.rng.uniform(low=-3.6, high=60.)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Adding the Cartesian Coordinates" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Next, we add the ``Position`` column to both the \"data\" and \"randoms\" by converting from sky coordinates to Cartesian coordinates, using the helper function ``transform.SkyToCartesian``. The redshift to comoving distance transformation requires a cosmology instance, so we first initialize our desired cosmology parameters. " ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# specify our cosmology\n", "cosmo = cosmology.Cosmology(h=0.7).match(Omega0_m=0.31)\n", "\n", "# add Cartesian position column\n", "data['Position'] = transform.SkyToCartesian(data['ra'], data['dec'], data['z'], cosmo=cosmo)\n", "randoms['Position'] = transform.SkyToCartesian(randoms['ra'], randoms['dec'], randoms['z'], cosmo=cosmo)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Specifying the \"data\" $n(z)$\n", "\n", "The ``ConvolvedFFTPower`` algorithm requires the number density as a function of redshift for the \"data\" catalog. Here, we use the ``RedshiftHistogram`` algorithm to compute the redshift histogram of the \"randoms\" catalog, and then re-normalize the number density to that of the \"data\" catalog. " ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "[ 000001.11 ] 0: 08-03 17:16 RedshiftHistogram INFO using Scott's rule to determine optimal binning; h = 4.40e-03, N_bins = 207\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[ 000001.14 ] 0: 08-03 17:16 RedshiftHistogram INFO using cosmology {'output': 'vTk dTk mPk', 'extra metric transfer functions': 'y', 'n_s': 0.9667, 'gauge': 'synchronous', 'N_ur': 2.0328, 'h': 0.7, 'T_cmb': 2.7255, 'N_ncdm': 1, 'P_k_max_h/Mpc': 10.0, 'z_max_pk': 100.0, 'Omega_b': 0.04775550899153668, 'Omega_cdm': 0.2609299279412303, 'm_ncdm': [0.06]} to compute volume in units of (Mpc/h)^3\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[ 000001.14 ] 0: 08-03 17:16 RedshiftHistogram INFO sky fraction used in volume calculation: 0.1500\n" ] }, { "data": { "text/plain": [ "Text(0,0.5,'$n(z)$ $[h^{3} \\\\mathrm{Mpc}^{-3}]$')" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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" ] }, "metadata": { "image/png": { "height": 443, "width": 791 } }, "output_type": "display_data" } ], "source": [ "# the sky fraction, used to compute volume in n(z)\n", "FSKY = 0.15 # a made-up value\n", "\n", "# compute n(z) from the randoms\n", "zhist = RedshiftHistogram(randoms, FSKY, cosmo, redshift='z')\n", "\n", "# re-normalize to the total size of the data catalog\n", "alpha = 1.0 * data.csize / randoms.csize\n", "\n", "# add n(z) from randoms to the FKP source\n", "nofz = InterpolatedUnivariateSpline(zhist.bin_centers, alpha*zhist.nbar)\n", "\n", "# plot\n", "plt.plot(zhist.bin_centers, alpha*zhist.nbar)\n", "plt.xlabel(r\"$z$\", fontsize=16)\n", "plt.ylabel(r\"$n(z)$ $[h^{3} \\mathrm{Mpc}^{-3}]$\", fontsize=16)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In this figure, note that the measured $n(z)$ for the data closely resembles the input distribution we used: a Gaussian distribution with $\\mu=0.5$ and $\\sigma=0.1$. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Next, we initialize the ``FKPCatalog``, which combines the \"data\" and \"randoms\" catalogs into a single object. Columns are now available in the ``FKPCatalog`` prefixed by either \"data/\" or \"randoms/\"." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "columns in FKPCatalog = ['data/FKPWeight', 'data/Position', 'data/Selection', 'data/Value', 'data/Weight', 'data/dec', 'data/ra', 'data/z', 'randoms/FKPWeight', 'randoms/Position', 'randoms/Selection', 'randoms/Value', 'randoms/Weight', 'randoms/dec', 'randoms/ra', 'randoms/z']\n" ] } ], "source": [ "# initialize the FKP source\n", "fkp = FKPCatalog(data, randoms)\n", "\n", "# print out the columns\n", "print(\"columns in FKPCatalog = \", fkp.columns)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And we add the $n(z)$ column to both the \"data\" and \"randoms\", using the appropriate redshift column to compute the results." ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# add the n(z) columns to the FKPCatalog\n", "fkp['randoms/NZ'] = nofz(randoms['z'])\n", "fkp['data/NZ'] = nofz(data['z'])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Adding FKP Weights\n", "\n", "Here, we add a column ``FKPWeight`` that gives the appropriate FKP weight for each catalog. The FKP weights are given by:\n", "\n", "$$\n", "w_\\mathrm{FKP} = \\frac{1}{1 + n(z)P_0}.\n", "$$\n", "\n", "Here, we use a value of $P_0 = 10^4 \\ h^{-3} \\mathrm{Mpc}^3$." ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": true }, "outputs": [], "source": [ "fkp['data/FKPWeight'] = 1.0 / (1 + fkp['data/NZ'] * 1e4)\n", "fkp['randoms/FKPWeight'] = 1.0 / (1 + fkp['randoms/NZ'] * 1e4)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Adding Completeness Weights\n", "\n", "\n", "The ``ConvolvedFFTPower`` algorithm also supports the use of completeness weights, which weight the number density fields of the \"data\" and \"randoms\" catalogs. Here, we add random weights to both catalogs as the ``Weight`` column.\n", "\n", "Completeness weights change the number density field such that the weighted number density field on the mesh is equal to $n'(\\mathbf{r}) = w_c(\\mathbf{r}) n(\\mathbf{r})$, where $w_c$ represents the completeness weights." ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": true }, "outputs": [], "source": [ "fkp['data/Weight'] = numpy.random.random(size=data.size)\n", "fkp['randoms/Weight'] = numpy.random.random(size=randoms.size)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Computing the Multipoles" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To compute the multipoles, first we convert our ``FKPCatalog`` to a mesh object, specifying the number of mesh cells per side, as well as the names of the $n(z)$ and weight columns. \n", "\n", "If a Cartesian box size is not specified by the user, \n", "the size will be computed from the maximum extent of the ``Position`` column automatically." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "[ 000003.45 ] 0: 08-03 17:16 FKPCatalog INFO BoxSize = [2126. 4028. 2042.]\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[ 000003.45 ] 0: 08-03 17:16 FKPCatalog INFO cartesian coordinate range: [-2114.09611013 -1983.75342661 -126.22300371] : [ -30.15508148 1964.60785817 1875.18039017]\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[ 000003.45 ] 0: 08-03 17:16 FKPCatalog INFO BoxCenter = [-1072.1255958 -9.57278422 874.47869323]\n" ] } ], "source": [ "mesh = fkp.to_mesh(Nmesh=256, nbar='NZ', comp_weight='Weight', fkp_weight='FKPWeight')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now, we are able to compute the desired multipoles. Here, we compute the $\\ell=0,2,$ and $4$ multipoles using a wavenumber spacing of $k = 0.005$ $h/\\mathrm{Mpc}$. The maximum $k$ value computed is set by the Nyquist frequency of the mesh, $k_\\mathrm{max} = k_\\mathrm{Nyq} = \\pi N_\\mathrm{mesh} / L_\\mathrm{box}$." ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "[ 000003.59 ] 0: 08-03 17:16 ConvolvedFFTPower INFO using compensation function CompensateCICShotnoise for source 'first'\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[ 000003.59 ] 0: 08-03 17:16 ConvolvedFFTPower INFO using compensation function CompensateCICShotnoise for source 'second'\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[ 000004.55 ] 0: 08-03 17:16 CatalogMesh INFO painted 500000 out of 500000 objects to mesh\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[ 000004.56 ] 0: 08-03 17:16 CatalogMesh INFO painted 500000 out of 500000 objects to mesh\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[ 000004.56 ] 0: 08-03 17:16 CatalogMesh INFO mean particles per cell is 0.0124907\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[ 000004.56 ] 0: 08-03 17:16 CatalogMesh INFO sum is 209559 \n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[ 000004.56 ] 0: 08-03 17:16 CatalogMesh INFO normalized the convention to 1 + delta\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[ 000004.64 ] 0: 08-03 17:16 CatalogMesh INFO painted 50000 out of 50000 objects to mesh\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[ 000004.65 ] 0: 08-03 17:16 CatalogMesh INFO painted 50000 out of 50000 objects to mesh\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[ 000004.65 ] 0: 08-03 17:16 CatalogMesh INFO mean particles per cell is 0.00125849\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[ 000004.65 ] 0: 08-03 17:16 CatalogMesh INFO sum is 21114 \n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[ 000004.65 ] 0: 08-03 17:16 CatalogMesh INFO normalized the convention to 1 + delta\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[ 000004.70 ] 0: 08-03 17:16 FKPCatalogMesh INFO field: (FKPCatalog(species=['data', 'randoms']) as CatalogMesh) painting done\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[ 000004.70 ] 0: 08-03 17:16 ConvolvedFFTPower INFO cic painting of 'first' done\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[ 000005.07 ] 0: 08-03 17:16 ConvolvedFFTPower INFO ell = 0 done; 1 r2c completed\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[ 000005.67 ] 0: 08-03 17:16 ConvolvedFFTPower INFO normalized power spectrum with `randoms.norm = 0.333066`\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[ 000007.68 ] 0: 08-03 17:16 ConvolvedFFTPower INFO ell = 2 done; 5 r2c completed\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/home/yfeng1/anaconda3/install/lib/python3.6/site-packages/nbodykit/algorithms/fftpower.py:616: RuntimeWarning: invalid value encountered in sqrt\n", " xslab **= 0.5\n", "/home/yfeng1/anaconda3/install/lib/python3.6/site-packages/nbodykit/meshtools.py:136: RuntimeWarning: divide by zero encountered in true_divide\n", " return sum(self.coords(i) * los[i] for i in range(self.ndim)) / self.norm2()**0.5\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[ 000012.58 ] 0: 08-03 17:16 ConvolvedFFTPower INFO ell = 4 done; 9 r2c completed\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "[ 000013.47 ] 0: 08-03 17:16 ConvolvedFFTPower INFO higher order multipoles computed in elapsed time 00:00:07.81\n" ] } ], "source": [ "# compute the multipoles\n", "r = ConvolvedFFTPower(mesh, poles=[0,2,4], dk=0.005, kmin=0.01)" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true }, "source": [ "The meta-data computed during the calculation is stored in ``attrs`` dictionary. See [the documentation](http://nbodykit.rtfd.io/en/latest/results/algorithms/survey-power.html#the-meta-data) for more information." ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "poles = [0, 2, 4]\n", "dk = 0.005\n", "kmin = 0.01\n", "use_fkp_weights = False\n", "P0_FKP = None\n", "Nmesh = [256 256 256]\n", "BoxSize = [2126. 4028. 2042.]\n", "BoxPad = [0.02 0.02 0.02]\n", "BoxCenter = [-1072.1255958 -9.57278422 874.47869323]\n", "mesh.window = cic\n", "mesh.interlaced = False\n", "alpha = 0.10068100439630336\n", "data.norm = 0.3319168209225001\n", "randoms.norm = 0.3330663605881116\n", "shotnoise = 39294.08527131943\n", "randoms.N = 500000\n", "randoms.W = 250038.26038984343\n", "randoms.num_per_cell = 0.012490674008300421\n", "data.N = 50000\n", "data.W = 25174.10319355387\n", "data.num_per_cell = 0.0012584947277048816\n", "data.seed = 42\n", "randoms.seed = 84\n" ] } ], "source": [ "for key in r.attrs:\n", " print(\"%s = %s\" % (key, str(r.attrs[key])))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The measured multipoles are stored in the ``poles`` attribute. Below, we plot the monopole, quadrupole, and hexadecapole, making sure to subtract out the shot noise value from the monopole." ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(0.01, 0.3)" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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37ePZgTfwXr1vtf5r3X+pxddiuzZ+6Hg9mzBd2a1d+mFsfcZ2b2ZyphaMWmAbf31/EBnB4ORtlaqLpUObpU9WSe8/Jr39XekPN0lPXyz9bJb0w5HSQxOlxxdJL35Beu3r0gv/LK24rE/9iUKWTQBBIZuAmcgmYCayCcAtIW3iPX/+fD322GMqLS3Vc889p6VLl0pqa+69Y8cOff3rX1dWVpauvvpqvfnmmzTqBjpz7IHRzQ6MqCjp9M/bxz9+pX/vtiz7MU6SXwHDaQdGdHxbs+13dgVRwMg8XfJ0+U9TdVFwu0kQXmWfSI3V/mNxKdKowLYQv7j7RX1n43fktby2a9OGT9OKi1Zo1Pxb7A/ufUs6UWIbvmTCJbaxtw6+Ja/PPj8GqZZGqXK/dPBv0o6XpY0/k974H+ml66QnlkgPT5N+mCH9dIb01IXS778kvfUt6b1HpJ1/bDs67Xih5G12nr90m7TuwfB+JgAAAAAABrCQFjDaxcfH65prrtGaNWt04MAB3X333crJyZFlWWpqatIf/vAHXXbZZRo3bpzuvPNOFRQUhGNZgLm8rVJL12OYPG0/BO7O6VfYx/avl+qOBf7+6kNSQ5X/WEyilH6yaNHTDoz39x1TXVOr7XqfxCVJIxwaPR/5qH/zIfyKHI6PGrtAiu5b2yXLsvTEjid0/6b7Ha/PyZijp/7pKY1IHCFNypOGZnWZwCd98FvbcxfmXKiYKP81VDRUaPPRzX1aF05RltVWgPjpTOm+TOnnZ0orLpFeuVl653tS/uPSrtVS8VapprTt369gbHlKOn7InbUDAAAAAHCKC0sBo7Ps7Gzdc8892r9/v9asWaMvfvGLio+Pl2VZKikp0YMPPqhp06Zp8eLFWrvWfo45MCh0t/siqofIZs2Xho71H7O80q5XA3+/YwPvmX4/gJ44bKKtp0BU3HEpqlHNXp/+WlAR+HvbRbAPRquvVa8UvKJffPgL7ancE5Z3RkpmZmZoJi50aODdx/4XlmXppx/8VD//8OeO188Zc44ez3tcQ+P+cZxadIw090v2Gz/4jdRlZ0VqfKrOyzrPduubB97s09pwinr3vrYjoKrDVFTwNksb/rfHW0KWTQBBIZuAmcgmYCayCcAtYS9gdLZ06VI9//zzKi0t1S9/+UvNnz9flmXJsixt3LhRq1atiuTygMgJpP9Fu26PkVoZ+Pt76X8hSYkxicoemm27LbqjD8bRwN/bzbu6XVMIfHP9N/W9976nx3c8ruWrl+v5Xc+H5b2RkJub6/6kluW8A6MP/S+8Pq/uff9ePbPT3sNCki7MvlCPLHlESbFJ/hfOvN5+7NiJw9Kn79jmcDpGas3BNWru7sgfnNre/5W04aHQzB2X0rZrLWOa/dqHz0vH9nX7aEiyCSBoZBMwE9kEzEQ2AbglogWMdqmpqfrKV76ib3/725oxY0aklwNEXiD9Lzo7/Ur72MG/SrXlgb2/pOf+F+0mD+upkXe5fL5+9rVx6pUQhkbehScK9U7RyR96W7L0YP6D+s3Hvwn5uyMhPz/f/UmrDrYds9NZVKw0dn6Pj7X4WvTtjd/Wy3tfdrz+uYmf00OLH1JcdJz9YmqWNPmf7ONb7IWQxeMWKzEm0W+spqVGfy3+a4/rwylox++lt+7o37OJw6XMM9r+vZt3o3TBndLlv5Sue0X6t03Stw5J3ymW/n2zdNOfpYRU/+ctr/Su8xFpUoiyCSBoZBMwE9kEzEQ2AbilbweSh9DOnTv1zDPP6LnnnlNFxckjZyzLUlJSUg9PAqcwpx0YCb3swJCkrLnSsGzpeNHJMcsn7VolLbi5b+/uQwPvdpPTJvv9wF86WcCoqG3SjuJqzRk3rG/v7WzUGfaxYwVSc31bj4wQ2VW5y3H8oS0PyWf5dOPMG0P27kg4ejSIXTLdcdp9MeZMKTbRPv4Pja2N+u/1/631h9c7Xr9m2jW6I/cORXXdZdHZ/C9Le7scBVXwZ6n6sJR68mi1xJhELc1eqtf2v+Z36xv739DS7KXdz49Ty963pT/d5nwtZVRbUWzomLb+KkNGt/3v0NFtY0NG9/jvs03iMOkzX5PW/sB/fOcfpfO+IWWebnskJNkEEDSyCZiJbAJmIpsA3BKRAkZ1dbVefPFFPf3009q6dauktoKFJCUnJ2v58uX68v9n77zDorjeNnzvLlWajS6ICvbeeywxdmM0JjHdJL/0mJ74abrGdBM1PZpmisbYe1cU7F0UwQIiSBOkl2V3vj9GyjCz1MWAnvu69hLfmXPmLOzZnT3Ped9nyhQGDFDXKhcIbglyq5iBodPJZt4hc5XxsJUVFzAy4iGrVMaGwQ7c26hObdmgpSqmd4gv+nnbmYSqCRj1GoKbP6SVEmISwsCvR+X7qyAX0y5aPPbF4S8okAp4okMFf4+3Kpr+F5bLR2UZs5i6fSoH4rV35zzV8Sme6/wcOp1O83gRgbfLHjDpl4tjhWbeg/9PceqoZqNUAsauy7vIzM/E2c657OsI6j6X9sE/D4O5QH2s68Mwdp78XmpNej0N+74r9d4qwfYPYfJf1r2WQCAQCAQCgUAgEAgENxE3tITU1q1beeCBB/Dx8eG5557j8OHDRZ4X/fr1Y+HChcTHx/Pzzz8L8UJwa1MVD4xCNMtI7ZGFiYqg5TXh0RZs1KV7ghqoS0jJHhiyILntTGLFrqmFppF3zfpglCVgAMw9Mpfvj39fo2Oo82j6X2gbeMdkxPDg+gctihevdX+N57s8X754AaA3aJt5H10EJuVCdW+f3jSwb6CI5Zny2B6zvfzrCOo2CWHw1z1QkKM+1mYsjP7S+uIFgJ0TDHhNHT+7Di4fsv71BAKBQCAQCAQCgUAguEmocQEjKiqK9957j2bNmjF8+HAWL15MTk4OkiTh7e3NtGnTiIiIYPfu3UyZMgUnJ6eaHpJAUPvJS1PHKpKBAXKppwbNSgUlOL26Yu0rWD4KoIlzExwMDoqYzpCLzkYe/+kr6cRd01gorAj/gQ9GVFpUued8c+wbvjn2TVHWWF1m7Nix1u0wMxGunisV1IF/L9WpB64cYPK6yZy7Vvp80KHj3T7v8ki7Ryp3/a4Pgc6gjKXHwrktipCt3pY7Au5QNV9/YX3lrieoW6RGwaIJkKvx/howACYsAEMNJqZ2nyJnCZVm+0xVyOpzUyAQWAUxNwWC2omYmwJB7UTMTYFAYC1qRMDIzc3ljz/+YOjQoQQGBjJz5kyio6ORJAlbW1smTpzIunXruHTpErNnzyYwMLAmhiEQ1F2q6oEBxWWkShO2omLttTIwLAgYBr2BwPrq+asoIxVexSwMrWtqjc1KmCUzUelRFTr3++PfM//o/DovYkRHR1u3Q63sC4+24Fic7SBJEovDF/PklidJ0xDqbHQ2fDLwE+5ueXflr+/qAy1HqOMaZt6jm49WxfZd2UdyTrIqLrgJyEyERXdBpkYmmncnuO8vsHVQH7MmNvYwSMM0/MJOuBisCFl9bgoEAqsg5qZAUDsRc1MgqJ2IuSkQCKxFjQgYXl5ePPLII+zcuROz2YwkSXTq1ImvvvqKuLg4li5dysiRI9Hrb2gFK4Gg7qDpgVFBAQOgvUYZqUt7IT2u/LZaIoFPZ4unWy4jJbP9TBWNu7RKSCWeBpOxav2VQ0JWAjmlyso42ThZXEj/6eRPfHXkqzotYpw4YeWMlmgNAaOE/4XRZGTmvpl8uP9DTJJJdaqjjSNzh8xlZLORVR9Dt0fVsXNb4FqMItTJvRM+Tj6KmEkysTlqc9WvLaid5KbBHxMg5YL6WKNAeGAZIVdPMnX7VP5v9/8RdjWs5sbS6X5o2EId3zYTSryXWH1uCgQCqyDmpkBQOxFzUyConYi5KRAIrEWN1EpIT5cXX/V6PUOHDuWxxx6ja9euACQnJ5OcXPUdri1bqk2DBYKbjup4YAB4tpcX5hTlfCQ4vQp6P2O5XWaSXHKnJDoDeLSz2ERLwNDbXyn6OeT8VbLzC6hnV8m3GxdvqNcYsku8X5jyIekseLWvXF+lkCSJxIw8IhIyOBufQWRCJkeT94Oj8rzs7EZM9H8Rg87AkrNLVP38fOpnTGYTr3Z/tWI+DTc7lzQMvP1lASMlN4VXdr7C4YTDmk29nbyZP2Q+rRq2qt4YAoeCmx+klRAsJLPshTF4elFIr9MzstlIFp5aqGi+/uJ67m9zf/XGIKg9GHPh7/sh/qT6mIsPPLSCsLxEXtj+AkazLI6GxIbwz9h/8HLysv54DDby63DZ48r45QMQuRlaDrf+NQUCgUAgEAgEAoFAIKjD1FixZ51OhyRJbNu2jW3btlmtz4KCgvJPFAjqOnlaGRgV9MCA62WkJkDwp8r4qeVlCxhaJtkebcosrdKygVpU1JfIwMgvMBNy7irD2nqWO2wFOp2chXG+lLFy/IlKCRgpWfmySJEoixURCRlEJGSSlqPM5LBtcBGHUgJGfnZjpv59jHVTp2Gjt+HPM3+q+v/t9G+YJBNv9Hjj1hYxctO1F4mb9uVsylmmbp9KXJZ2BlBXj67MGTSHRo6Nqj8OvQG6PgI7ZinjR36HgW8oPA5GNR+lEjCOJx3ncsZlmrhoeBUI6hamAvj3MYjeoz7mUB8eWg71/Vm485Ui8QIgNS+VRacX8XqP12tmXO0mwO45kFgq02PbTAgcBiI7VSAQCAQCgUAgEAgEgiJq/FuyJElWfQgEtwTV8cAoRMsH4/IBVSkdBXEVN/AuRDsDIwkoFhu3VbWMVCWMvNNzjRyOTuGv/Zd4b3UY9/+0j+6zttB15hYm/7SPd1aF8ef+SxyMSlWJFwB6uyRVzJzvzoXkLOZsieDNHm/ycNuHNa/9x5k/+HD/h5glc+We339Mz549rdfZ5QNypkNJ6jdlS2oYD214yKJ4cXfLu1lwxwLriBeFdHlQbeadcQUiNylCLRu01PRw2Ri10XpjEfw3SBKseRHOrlMfs60HD/wLHm1Iy0tjZ8xO1Skrzq1QlZSzGno9DHlLHU84CadXAlaem7UQo9nIxosbWXByARGpEf/1cASCCnOzz02BoK4i5qZAUDsRc1MgEFiLGsnA8Pf3v7V3IgsE1UXTA6MSGRgAnm3BvTUkhSvjp1dC3xe021TCwLuQhg4NaezYWGF+rNOZ0dsnYc7zBmB7eCJms4ReX/y+YDZL5JvM5BWYyS8wk2+6/m+BmbwCE/kFZlx0zShdUCgh4gAbXC+SbzKTlJFHREImEQkZXEnLLXOc5SGLLkrM+e4ALNhzkRHtvXit+2sY9AZ+OaU2hV5ydglmycxbvd9Cr6sbO6jd3Nys11kp/wsz8L1nE77b+Yrm6QadgWk9p3Fvq3ut/3nh6g2tRkL4WmX84AJorTTvHtVsFPOOzlPE1l1YxxMdnrDumAQ3li3vwLE/1HG9Ldy7CPx6ALApapMi+6KQjPwMNl7cyF1BGkKwNWg1Eny7QWypkmo7ZkObcdadm7WMyNRIZuyZwZmUMwDMOzKPpzs9zVMdn8KgN5TTWiD4b7mZ56ZAUJcRc1MgqJ2IuSkQCKxFjQgYUVFRNdGtQHDroFlCqpIZGCBnYez8SBkLW1FJAcOygXchQfWDFAIGyGWkCgWMxIw8en20jQJTsVhhNJWfUdVMV8AOe2WsXspp3l9zCsnKCWSaGRh5soAhSfD6vydYP3UAL3d9GRudDT+d/El1/tKIpZgkE+/2ebdOiBhbtmxh7Nix1uksutj/IlunY4Z7I7bma2f7uNm7Mee2OfT0rsEdOd2mqAWM89shfJ1CxBjZbKRKwDh37RwRqRGa5dEEdYCQuRA6T+OADu76HgJvL4qsOr/KYjd/h//N+MDxNbMhQ6eDoe/A73cq41cj4cRitlx2s97crCWYzCYWnV7EvKPzFKKRhMR3x7/jSMIRPh74MY0dG/+HoxQIysaqn5sCgcBqiLkpENROxNwUCATWovavsAkEtyLWFDBKE3sYUqPV8ZxUuFY6rquQ34R2Gal4xf+TMvJIzTaSlW+qkHgBECV5kikp/TdcdDn46xIr1L4s7G30tPd1ZUJXX14Z7o/eVvk7lyQ9ZmNxWaMLSVl8uSUCnU7HC11e4JlO2l4iyyOX807IO5jMpmqPsc5QkFe0kzzWxsBD3p5sdaqneWpg/UD+Hv13zYoXAC2GQP2m6vi61xQZTk1cmtDJXZ1ltP7C+pocnaCmOLJIzr7QYtRn0OHuov9GpUVxIkm7JB3AmZQznEi2fLzaNB8EAQPU8Z2foNfICqnLxGTE8Nimx/ji8BeaGS8A++P3M2nNJA5cOXCDRycQCASCyhISG8InBz7h66NfczD+IEbTzfW5JRAIBAKBoHZRYybeAoGgGljDAwPAvRV4tFObxYatgP4vKWNa2ReNW4KdU7mX0dqpbnCI1zizckjoOS01pafurCLeThdFtORVoT5sDTqaN3ampZcLrTydCfJ0oZWnC34N62G4XtLqVPIpfrqkbGcnNQZJ+Rb50+4LDG/vRVf/Bjzb+Vn0Oj3fHPtGdc1V51dhkkzM6jfr1iiJEnsETHkccrDnFY/GpBq0n/Ngv8F8NOAjnGzLf01VG70ehrwNy0uVgsqIg23vw+gvikKjmo3ieJLy9b/h4gamdp1aJzJpBNc5sxbWTNU+Nuj/oOf/FKE1F9aU2+WS8CWaApfVGPoOLBymjKVdwj95JzCh5q57g5AkiX8j/+Wzg59VyFMkOSeZ/235H892epb/dfyfmH8CgUBQC/nxxI/MPzq/6P8/nPgBRxtHenr1pK9PX/r69KWpa1NRUlogEAgEAoHVEAKGQFDbkCTreGAU0u6uqgsY5fhfFKKVgWGwr76AARBmDqCnvpSAoY9ivbm3IqbXQUBjJ1p6uFwXK1xo6elMQGMnbA1lL4JdTLuoinXybEnIOT35pmJjarMEry89zrqpA3CwNfB0p6ex0dsw98hcVfu1F9ZikkzM7j8bG/2Neas1mozkm/NxtHGs0MKfv7+/dS58KZSlLk7MbtSQAgtfVp/s+CTPdX7uxi5IdrgbTiyGc1uV8YMLocM94N8LgDsC7uDTg59ikoqzZuKy4jiedJwuHl1u3Hivk1uQy8cHPmZHzA78XPx4u/fbtGpY2g1GoODibvj3MbWRPEDPJ+G2NxUhs2Rm7fm16nNLsTFqI6/1eI2GDg2tNVIlfj2h5QiIUBrHt05cA/kfg512JlNdIDE7kXdD32VP7J5KtTNLZr4+9jVHEo/w0YCPau53LxBUAc3PTVMBpF6UPceSwiHpLCSGyzE7Z2g2AFqNksvXVWUzikBQi1hzfo1CvCgkpyCHXZd3sevyLgB8nHzo49OHvj596eXdCzf7mq2Db7V7WoFAYFXE3BQIBNZCCBgCQW2jIA9Kl9jQ24KNg/b55dHuLtgxSxm7cgyunodGLUrENAQMn/L9LwCauzVHr9NjLrF4qLNNw84ul/x8y+O2s9Fjb9BjZ1PiYdBjbyv/a2ejpyC3PaRsUrS7o0Eiqa2aUc/OQHN3Z1p6utDc3QkH26plO2gJGB08guh+exCfbVKKJ+eTsvhyawT/N7INAE90eAKDzsCcw3NUfWy4uAGT2cTHAz/GVm9bpbGVhVkyczblLHuv7GVv3F6OJh4lz5RHQ4eG9PbuXbQLzr2eu2b7Tp2qv7PcaDbyycWVLGncSPO4g8GBmf1nMiJgRLWvVWl0Ohg9B77tDcbsEgckeaf+U8FgY09jx8b09u5NSFyIovm6C+tuuIAhSRIz9sxgc/RmAFJyU3hyy5OsvHMlDRwa3NCx1BmuHIe/J4MpT32s/UQY8Yn8WijB4YTDxGXFKWJ6nR4nWycy8osz4IxmI8sjl9esqfvgGSoBwzYvBQ78qBaa6wgbLm5g1r5ZpOdriPHXebDNg/Tx6cPbIW+TkpuiOh4aF8qkNZP4bOBndPXsWpPDFQgqhslIJx8HOL1KFigKxYqrkWDK126Tnwknl8oPvW2xmNFqFLj53tjxCwTV5GD8Qd4JtVCmsRRxWXEsi1zGsshl6HV62jduX3Rf2qFxB6tv7rHGPa1AILA+Ym4KBAJroZMkqWLF6MshJyeH3NxcGjRQL7BERUVx4sQJzGYznTt3JiAgwBqXFAhqjNIpz1aaJhUjMxE+L5XR4NgQ3lQvsleY7/tD/EllbOg7MODV4v/P7wZXzynPeXQdBPSv0CXGrRynEgJ+uH0hHrZtsTXoisSJkkJFhVLLr5yAH0rViXdyh9ciVYuSVeWVna+wJXqLIvZ+3/cZ13w8E74L5cTlNMUxvQ6WPdOXLv7F73e/h/3OZ4c+0+x/qP9QPhv4GbaG6osY8Vnx7I2TBYv98fs1F/5KE9QgiL7e8pfGrp5dcbguhgUHBzNw4MAqjyU1N5VXd77CwYRDmse9nLyYN3gebRq1qfI1rMLeb2DTdHV80HQYJO/MX31+NTP2zFAcbmDfgG33bKsR8ckSKyJXaC4OjA8cz8x+M2/YOOoMV8/Dz8MhK0l9rMVQmLwYbOxUh94JeYcV51YoYv19+xPUIIhfTv2iiPs4+bB+wvqaLQe3dAqELVfGHOrDSyfAoWZ3rVqTa7nX+HD/h2yM2mjxHB8nH2b1n0UPrx6AnKnxZvCbHLLwPmLQGXihywtMaT9FlJQS3BgK8iHlPCSekQWKIqHinHqDSXXw7gytR8tihmc7q93TCAQ1wcW0izy4/sEyhemK4mzrTE+vnvTz7Ucfnz74ufhVu8/q3tMKBIKaQcxNgaB28Z+udVaTam99uHz5Mk899RSbN2/GbDbTtGlTvvzyS+68804KCgp44okn+OOPPxS/lDFjxvDrr79qih0CwS2PtfwvStLuLrWAcWpFsYCRm64WLwC8OlT4EkH1g1QCRnTGefq2rqZZs3treddiyUWDrCTIiAdX7+r1fR2tDIxmbs2wMej57O5OjJ2/R11K6t8TrH2hf1HWx8PtHsagN/DxgY9VfW27tI1Xdr3CF7d9gZ1BvZhaFpn5mRyMP1iUZRGVHlW5JwdEpkYSmRrJb6d/w95gTzfPbvT16Uv+1XwGSAOqVKM4IjWCqdunEpsZq3m8i3tn5gz+ksaOjSvdt9Xp9bS8+zXuqDK++3NoNx7cWzHEbwj2BnvySuziT81LZV/cPgY00TBargGi06P56MBHmsdWnlvJnS3upLtX9xsyljpB+hVYNF5bvGjSA+5dpCle5BTkFGW4lGRci3F0aNyBX0/9ikTxPUtcVhy7Y3czyG+QNUevZPB0OL1SWQIr95osvg3WEN9qIcGXg3k39F2Sc5ItnnNX4F280eMNnO2ci2Ie9Tz46Y6f+PbYt/x08idVG5Nk4qsjX3E44TCz+8+mvkP9Ghm/4BYl6ax8f1QkVITLwmiJkoI1xpVj8mPHh1Dfvzgzo2lfsMKGB4HAWqTkpvDs1mc1xYvA+oEkZCcoshfLI9OYyfaY7WyP2Q6An4sffX360senD728eik+IypKWlpa+ScJBIIbjpibAoHAWlRrK1tWVhaDBw9m48aNmEwmJEkiKiqKSZMmERISwquvvsrvv/+OwWCga9eudOzYEZ1Ox9q1axkzZkydUnoEghtGrsaHfFX9Lwppd5c6lnASkiPln0uLGwANm1dq56+WD0ZEakSF21vExg4826rj8Seq3zdQYC4gOj1aFW/m2gyAVl4uvHi7+rmdS8zkq62RitgDbR7grV5vaV5nZ8xOXt75smKB3NJ4jiUe47tj3/HwhocZsHgAU3dM5e/wv6skXpQmz5RHaFwonx/6nHnp8xi6dCgz9sxg3YV1XM25WqE+tl3axoPrH7QoXkzAlQXDF9YO8QJAb4Bx80FXage9KR/WvAhmM852zgxsot4dtOHihhsyRKPZyLTgaWUaHc/cNxOjyYq7f+syOanwxwS4dkl9zF+8xF0AACAASURBVL013P8P2GmbxW+/tJ0sY5Yi5mzrzGC/wTRxaaIpWC0+u9gqw7ZI4yDodL86vvcbyKrYvPyvyDJm8V7oezy37TmL4kUjh0bMHzKfD/p9oLkwZaO3YWrXqXx3+3fUt9cWKHbH7mbS2kkcSzxm1fELblHyMuDXMfBNT1j2OAR/CmdWQ3LEjREvSnPtEuz/Hn4fB5+1gGX/k/3KtDa1CAQ3kDxTHlO3T+Vy5mXVsc7unVk8ZjG7793Nn6P+5LnOz9HVoyuG0vdb5RCTEcOSs0t4acdL9F/cn0c2PML3x7/nRNIJTOb/YD4KBAKBQCCodVRLwJg/fz7nz5/H19eXpUuXcuLECb799lscHBx4++23+fnnn+nYsSMXLlzg4MGDHD16lPDwcFq0aMG+ffv4+++/rfU8BIKbB60vq9U1vmvYXC5VUJqwlfK/mgbeFfO/KKRlg5aqWGRqpMaZVcCrozp2xToCRlxmHMZSJSEa2DdQ7PJ9amBzOviq/wY/Bp/nWMw1Reze1vfybp93Na8VfDmYF3e8qBAxJEkiKi2Kv8P/Zur2qQxYPICHNjzEt8e/5WjiUQqkgko9Hx2Vy6ZIykli9fnVTNs9jUH/DOKeNffw5eEv2X9lP/mlanpLksQPx3/gpR0vaS60GySJaVdTeC/gzkpnmtQ4Xh2g7wvq+KW9cORXAEY3G606vO3StjJFBWvx3bHvOHX1VJnnXEi7wC9hv5R5zi1Bfjb8dS8knlYfc/OHh1ZAPcvGz2vOr1HF7gi4o6i02r2t7lUdD4kN4VK6hlhiTQa9KWeblSQ/E/ao/XVqC4cTDjNx9USWRS6zeM6wpsNYceeKCmWw9Pftz9KxSy16z8RnxTNl4xR+C/tNbIIRVI+N0yBqt/X6q9cImvaH7o/DyM/g4dXw8ml4YBl0fwxcKpExmpsGJ/+BpY/Cp81h0QQ4uADS48ptKhBYE7NkZsaeGRxPUn9P8HPxY+6Qudgb7DHoDXR078jTnZ7mt5G/sfu+3Xw1+CvubXVvpctDmSQTRxKP8M2xb3hg/QMMXDKQr49+XW47B4cqegUKBIIaRcxNgUBgLarlgdGrVy8OHTpEaGgovXr1Kop/8803vPDCC+h0OkJCQujdu7eiXXBwMIMGDWLMmDGsXr266qMXCGqI/7Qu3Jk1sORBZazlSLi/mjuAQ+bCllK19T3awrN7YflTcKJU/7e/XykD2ZiMGEYtH6WIOdk6ETo5tPp1yw/8BOtfU8bajIV7/6hev8iiwnPbnlPEunp05beRvyli4fHpjJ2/B6NJ+VoI8nBmTYlSUoWsiFzBu6HvKkrRFNLHuw8TgiYUlYW6knWlyuMvLAnVx7sPfXz60NS1KUcTj7I3bi8hcSHVyoJxtHGku2d3+vr0pYdXD346+RObojZpnutqMvF5YjJ9cvPg0fUQ0K/K160xjDnwbR9ILVUyzN4VnjtAnlNDBi8ZTIZRKSJ+dttnNWpCfjD+II9velzztVIae4M9K8atwM+1+vWi6yQmo2zYfW6L+li9xvDYJmgcaLF5YnYiw/4dhrlkqSbgl+G/FJXnMktmRi8frdpt+nDbh3m9x+vVfw5lsf512by7JDYOMPWY1UrmWYM8Ux7zj8zn99O/W3zduti5MKPXDEY1G1XpMnVGs5H5R+er/EhKMthvMDP7zcStugK/4Nbj8mFYMKRqbZ08wL2VnOnl3go82sg/O5WTcWg2w5WjcHYDhK+HxLCqXd+nC7QaDa1GCt8MQY3z1eGvWHhqoSruaufKH6P+oJlbswr1E5Mew94rewmNC2X/lf1kGjMrNY5nOj3Ds52frVQbgUAgEAgEauqyB0a1BIz69evj6urKpUvKXYmxsbH4+fnh6enJlSvaC3Oenp7Y2dkRExNT1csLBDXGfzqpj/0FK59RxjreCxN+1D6/oqRGw1yNTIZn98PSR+S6zyV5aCW0GFzh7s2Smd5/9VbtVt8wYQNNXJpUZcTFXNoPP9+hjNVvKhvcVpPfwn7j80OfK2ITgybyXt/3VOd+vT2SzzerBYFnB7XgjRGtVfHV51fz1p63KrQwXVF06GjdsDV9fGTBootHF+wN9hbPT8pOYt+VfYTGhRIaF1oh0+/K0iI/n3kJyfgXFIDBDqbFgG0t3W1zYSf8fqc6fl0Q0zJ3Huw3mHlD5tXIcNLy0pi4eiIJ2QmKuEFn4K3ebzFr3yxMpcqZ9PXpy/e3f18l75I6jdkMK56U/UxKY+cCj66RF/fK4NdTv/LF4S8UMV9nX9ZPWK8QWrXOc7VzZeukrTjaOFb9OZRHRgLM7QSls366Pw5jakcmxumrp5m+ezrn085bPKevT1/e7/s+Xk5e1brWrphdTN8z3aJprK+zL5/f9jntG7ev1nUEtZeErAT2xO7Bo54HvX16Y1s6S6mymM2wYCjEHSn7PGevEgJFoWDRmrMxSbRq1ap6YwBIuSiLGWfXQ3Ro1cpW1W8KPZ6AHo9bLJknEFSVZRHLeG/ve6q4jc6Gn3q+TXcnP/mzqmFzcKv4fb7RbORU8qmi+9JTyadUmwpKs2jkIjp7lJ0ZfvbsWevMTYFAYFXE3BQIahd1WcColol3Tk6O5puRt7e8SzAgIMBi24CAAE6csE4JGIHgpiJXY6Gmuh4YAA2agm93iD2kjB/7U675XBrvTpXqXq/TE9QgiBNJynkdmRpZfQHDsx2gg5JCwLVouQ6+Y4Nqda1l4B3gGqB57lO3tWBjWDynYpV/o+93nWd4Oy86+Slrt49rMQ6DzsD0PdPL/XJWFj5OPvTx6UNvn9708upFA4eKP2f3eu6MbTGWsS3GYpbMRKRGFH1pPHTlECaqV1v4tuwcPk5Mxrnwg8+na+0VLwCaD4LOD8iv+5KcWQNn1jKq+SiVgLE7djdpeWlW3+ktSRIf7P1AJV6AvNvw7pZ3cyn9kqpsVGhcKBsubmBU81Gqdjctuemw+S1t8cJgB5P/Kle8kCSJVedXqeJjW4xVZYmNDxzP18e+VpR7S89PZ+PFjdwVpOEpZC1cPKHXUxDylTJ+5De5BFrDiu12rQkKzAUsOLmAH47/YLG0naONI692e5V7Wt1TpsAmSRL7LqRwKjaNfJMZk1miwCxRUOJnk1nCaGpIN5sPOFIwnzSzWjCJzYzl/rUP4lFwN67GwZhMxW1tDDo6+LoxqJUH/QIb42xfrVveGifflM+hhEPEZcbRtlFb2jbS8H66xYhMjWTKpimk5cneYMMDhvPpwE+rl9V57E9t8aL9RGg2sDizwsK9RUREiHUWYho2gz7Pyo/sFIjcAmfXwbltcum4inAtGra8DaHzoN+LstBpV6/6YxPcXEgSGLPlz9G8jOuPtOKfi+Lp1x8ZhObGM9MUi1ZV0g8S4um+eIoy6NNFnkPt7ipXzLDV29LFowtdPLrwXOfnSMtL40D8AUJiQwiNC1VlJbvYulRIpI6IiBCLpAJBLUTMTYFAYC2q9W2uUaNGpKSod/Pq9fIXC1tby7ukJEkq87hAcMui6YHhap2+292lFjAO/ASlF9fr+5dZQ94SQfU1BIxrkQz2r3gmhyb2ztAoEK6W8tSIPykvOFQDLQHDUkq8rUHPZ3d3YtzXylJSZgleW3qctVP7Y2+jLCU1uvloDDoD03ZPU+2kt4SzrTM9vXoWZVn4u/hbZbe9XqendcPWtG7YmsfaP8ay1cvw6OpBaFwoe+P2lrmjWosn7P14/mIIimfctE+1x1nj3DELIjZBdinD4fWv0eOZvTR2bKwwIy4wF7A1eisTW0606jBWnlvJ5ujNqnhXj6480eEJAJ7u9DSbojYRl6Wsff7pwU/p36Q/rnaVf2+QJIkrabkYTWY8XR1U5c9qFTmpsP8H2PetXBe+NDo9TFxYofeBs6lnOXftnCo+tvlYVay+Q31GBIxQCR5/h//N+MDxNZv90u9FjHt/wNZcIgvDXAC7PoG7vq+565bBhbQLzNg9o0yfls7unfmw/4f4u/qX2ZckSbyzKoxF+6IrMYIp2HtsxK7RHnV/OhMJtku4nBNG7pW7wVwsoJ6KTefvAzHYGnT0ataIQa3cGdzag+aNnWpFBlNSdhK7Y3cTfDmY0LhQRQbjW73e4t7Waj+WWwVJkngv9L0i8QJgU9QmBvkNYkzzMVXrNOcabH1PHfdsD3f9CIb/SOSq1xA63Ss/jLmyN0f4OjlDIzO+/PZZSbLAGzIX+r0ke24IIUOQchF2fAhn1qqz+sog0taWV308MenVQuGzqdcYm5WtbhR3VH5sfgv8ekG7CdBuPLiUn4XnZu/GsKbDGNZ0GJIkEZ0eXXRfuj9+P728e2Gjr90CtEAgEAgEgpqnWncDPj4+nDlzBrPZXCRaFDJz5kz8/S1/iY2Li8PT07M6lxcIbk7yNBbprJGBAfKXic0zlDGtLzWVzL4oRMvIuzoeDAq8O6kFjCsnbqiAAdDG25UXhgQxZ4vyeUUmZjJvWySvD1eXkhrRbAQGvYE3dr2huXPZRmdDR/eO9PbpTR/vPrRv3P6GfFmz09kxoMkABjQZAMgGuXvj5BrFe6/sVSwclcTeYM8HfT9g1NoZ6oP+fWtyyNahXkMY+Qkse1wZz7iCYccsRgSM4I8zSn+V9RfXKwSMjFwjW88kEB6fQaC7M+O7+GJrqPiu4Oj0aD468JEq7mLrwkcDPsKgl0WFerb1mN5rOs9vf15x3tXcq8w9PJe3+7xd4WsCJGbk8vDCA4THFwulrg42eLo64OnqgIervfyziz0erg54utrj4SLHS4tzNUp2iixa7P9B3hFqiTFfQdtxFepy9Xm151Zn984WF9wnt56sEjDOpJzhZPJJOrprlOOzwKaweP7afwkJeKxfAINaeZTdoF5DznuNonVcKWPs44vlxUkP9XtMTWGWzPx15i++OvKVIhulJLZ6W57v8jyPtH2k6HVbFsuOxFZSvACwIS9xDKbsZjj4LEVnyFWPw/UUBocr5MTejznXV3HMaJLYcy6ZPeeSmbXuDP4N6zGktQeDWrnTu3mjGybimSUzZ66eIfhyMLsu7yLsqmUfhC8Of8GYFmNwsr01SwNtid7CiWR1pva8I/MY1nRYmaUTLbLzY7VwDfLnwX8lXpTG1gGChsmP0XPkReGz6+VH4umy22Ylyfd4IXNlD7NuU4SQcatydgOseEpb+C+DJIOe57zcydQQL8ZlZPL0tTI+jwuJ2S8/Nk6DgP7y5qm2d5bvE4Nc1iLALYAAtwDub3M/RpORtPzKPQeBQCAQCAQ3J9XywHjyySdZuHAhu3fvpm/fii9axcTE0LRpU8aOHcuqVepyDgLBf81/WhduzYtw+FdlbPQXcp1ja7DwDvmLRVkMeQsGVt6s9mD8QR7b9Jgi1tytOavGW2Gea5mQV9MbJDU3lYFLlAKIrd6WAw8cKFNAMJrMjP8mhLA45Rc5g17Himf70rFJfc12obGhfLj/Q2IzY/F39S8y3u7h1eM/WaRKS0vDzU27LJLJbCI8JZyQODml/3jicQqkAgLrBzKr3yza2TeGL0oLVjp4MwoctZ9/rUKS4M9JGmbQOk7d/T2TD39YKqpj9Z0bORkNa47HsTMiifyC4sylCV19mXNP2fWZCzGajTy8/mHN3eyfDvyUkc1GquIv73iZrZe2qsa0aNQiOrlXTHCUJIn7ftzH/otV80FpUM/2usjhgIeLPZ7XxQ4PF4ein91d7Csl5KjISobQ+XBwQfllVIa+CwNeqVC3RrOR25fervKAebv329zT6h6L7Savnaz6O41tPpbZA2aXe82kjDzeWXWKDaeKd1DrdfDLlJ7c1tK9zLZpSbG4/TIAsq8qD7QZB/cuKvfa1iApO4lpu6dxIP6AxXNaNWjF7AGzNcVrLaKSsxg9bzdZ+VUvXaezvYqj718YHGM1j0tmA3kJYzFe64Vm/ZNSONjq6deiMYNaezC4lTtNGlh3wTfbmM3eK3sJvhxM8OVgRXZXebzX5z2rZ37VBYxmI+NXjudSxiXN4y93e5nH2j+mecwiCafh+/5qr4n2E+HunyvcTVmfmzVOyoViE/BLoers2dI4e17PyJgCtjXo3SOoPZgKYMcs2PNlpZtm63Q85u1BmL1aHOyRk8sP8YlUuXaCziBvOGo/AVqPqVKWd3n8p3NTIBBYRMxNgaB2cct6YAwbNoyDBw8SHh5eKQHjjz/kna2DB1ezrIxAcDOi6YFhpRJSIO+EKk/A8K7YQmxptBaxotOjyTPlVW23ZEm8NHY8X6mej05UepQq1tS1abnZD7YGPZ9P6sTY+XsoMBe/4ZvMEq8tPc6aF9SlpAD6+vZlXbe3IDUKWgyR693XUgx6A+0at6Nd43Y82fFJso3ZpOen41HPQ64/HrZC3cizfd0QLwB0OtkU+ZveYMwqcUCi3a45+Hv7cSkjpkRUYtTC+WQn9dfsbvmRWO7s7FvuwjTAd8e+0xQvxrUYpyleALzZ801C40LJLigu3SAhe2gsHrO4Qsa2m08nVFm8AEjNNpKabVRkb2jRyMmO7gENeH14KwI9Kpg9lpEg13E/9LNcq7ssdAZZZO3/cgVHDnvj9qrEC1u9LcMDhpfZ7r7W9/FWyFuK2Maojbze43WLXjSSJLHyWCzvrznNtWyj4phZgjf+Pc6mlwZSv56d5QvbOcvPb7Py2pxZLe/ILsfvo7rkm/J5cceLnEw+qXlcr9PzePvHeabTM9gaKrakZTSZeWnJsWqJFwCSsRHZ0c9g77EOu4Z7Vcd1ehMO3isx1LtAbvxdYC574TbXaGZbeCLbwhMBCPJwvp6d4UH3gAZVEuQuZ1xm1+Vd7L68mwPxBzCajeU30mDFuRW3pIDxb8S/FsULgAUnFnBX4F0V94OSJNjwhlq8sK0Hw2ZWY6Q3mIbNoc9z8iMpAoI/g1P/WhYyMhNg0//JnjpCyLj5yUiQM0ujdle6qQmY5t5IU7wIyDfyZWKSLF7Y1pOzwu1d5O8mxmxICi//ApIJLuyQH2tfke+B20+AVqPAwYrfcQQCgUAgENy0VEvAmDRpEpMmTap0u379+rFixYpKiR4CwS1DTXpggJzGvfH/UBhil6aKJaTc7N3wqOdBYnZiUcwkmbhw7QJtGrWpUp9ljik5Aow5Vf5CHpUWpYqVVT6qJIWlpL7cqiwlFZGQyfxt53hteCmzMrMZ1r0Ch68bMts4wmMbrLYQeeLyNb7ZcY7zSVl09HVjUnc/ejdvWGad9+DgYMaOVdf/16KebT3q2ZbYmRytXjisE/4XJanvLy+Eb/o/RViXdJY+DfxRLZ85HQULAgbArLWn6ffiAGzKWPA8GH+QBScXqOJNnJswvdd0i+28nLx4ocsLfHLwE0U8IjWCP0//yaPtH7XYFiC/wMzHGyqwyGAFrmblsyksgVOx6Wx8aQAuDmUscKdfkbOrDv8CBeqyQAr0NrIBe/+XK21mrVU+apDfoHKN2YcHDOezQ58pyqkZzUaWRy7n8Q6Pq86PT8tlxoqTRYvhWiSk5/HOqjDmTbY894ODgxk74gnY+w1kKA1N2T4LHlym3dBKbIraZFG8aOralA/7f1jhzJ9C5m+L5FjMNVW8b4tGdGvaAINeh61Bj0Gvw0avk/816It/Vv2/NyeuBfPX+c/JNalFL1u3E9i6nQCTEyajK1KBK2ajG1KBW9G/ktEVc4GbwjcjMjGTyMRMfgi+gIu9Df2DGjO4tQeDWrrj4eqgug7IPjnHk46z6/IugmOCK+0nZInjSce5cO0Czes3t0p/dYEsYxbfHy/b6yXDmMEPJ35gWs9pFev09ErtRd2Br4GbrzpeBpX53KxR3FvCxJ/kbNngT+Hkv1i8ryspZPR/Gbo9KoSMm43oUFg6xbJnit5W3mBi71osQDi4Ff38ec55dmRGqpo1tHPl26FzcGsYJLfVKrWWFAFhy+HUckg+W/5YzUaI3CQ/DPZyubT2E6DlCLCrejZyrZmbAoFAgZibAoHAWvwnBV8HDqxezXqB4KZGq967tTwwAFx9wL+PXH5ACxcfcC6nRnsZBDUIUggYIBt5V1vAqNcQXJtA+uXimGSSy0I06ValLrX8LwJcAyrc/tnBLdgUFs/pK8q/2Xe7zjO8nRcdmpRYHN32frF4AbL3yMbpsohRDdJyjHy+6Sx/7I+mMPvvXGImy4/G0qyxE/f28GNi1ya4u1QzA6Y0Wq8f/zomYAD0egpOLoW4I4rwpAu7WeKnnAcGx1h0dklI+dpZFpGJmfx94BIP9QnQPJ6Wl8b/7f4/pFKLTAadgU8GflJuGbHJrSez+vxqzqScUcS/Pf4tdwTcgY+zj8W2f+6P5mJyliqu18lZATVB7LUcFu2L5tlBgeqD12LkxbQji8CCt0IRBjvo8pBc071+2QbRWqTnp7Pj0g5VfFyL8r0zHGwcmBA4gV/CflHE/zn7D4+2e7TI80GSJJYevszMtafJyFX73JRm9fE4hrX1ZGwny38zbB3lxcl1pcpkndsqC4g1KBgujViqGZ/cejIvd3sZR5vKLX4ejErh6x2ygbodRvx1CTTXXaGxsz3TJzyMc6PKLSIXMpRJTGjXk9d2vUZ4igWBzpCFwZAFXNE+Dkgme8zXBQ2pwO36z25kF7ixKdKVjWfckEz1aO/rxpBWHgxq7UGAu469V0LYdXkXIbEhpOdXoDa8BoH1AxnYZCADmwxk9v7ZKt+o5ZHLea3Ha1Xquy7yy6lfVNlSWiwJX8Lk1pNp6tq07BPzs2DTW+p4w+bQ53l1vK7h3hImLrguZHxWvpCxcRrsKRQyHhFCRl1HkuSyi1vfU2cYFRI0HO763mLZpr/O/MUfBzaq4vYGe+bd/i1+5YnV7i1h0DS47U3Zp+XUclnQSLlQ/vhNeRC+Vn7Y1oOWw2UD8KBh4rUpEAgEAoFAQS1xrBMIBEVoZWBYO726/QTLAkYVsy8KaVm/JSGxIYpYREoEtKhWtzLeHZUCBsCVY1YVMCqagQHFpaTGfW25lJSdjR4O/CQv1pbmUiikxVZ6ByjIC6arjsUxa90ZkjO1F4AvJmfx8YZwPt90lmFtPbmvpz/9Axtj0JdfF75MctMgXl0CiaZ1K6vObJY4GHWNgy4v8DSPY0NxGY5WBbn45+m4ZK9cCLJ1PU5+8u0W+5yzJYJxnXxxq6fMOpAkudxTQnaCqs0znZ5RmkJLkrxb+OxGeWGg471g64hBb+DdPu9y//r7MZcoGZJTkMNH+z9i3pB5mhk3adlG5m5T76zs07wRfzzRi6tZeSSm55GQnkvC9X8TM/JITM8lIUOOJWfmUZXymAt2X+TRvgHUs7t+u5EaDXvmwNE/5V2YZWHjAF0fgX4vVmmOFLI5ajP55nxFrKFDQ/r59qtQ+0mtJvFr2K8K4SkuK449sXu4ze82Yq/lMG3ZCXZHVtzbAODtVafo2awhnhZ29QOycBMyF66VMr3e9gFMWS+XQrMyEakRHE08qorPGTSHYU2HVawTs1l+r06OJCc+gqgdu/nFJoZmuiv46pIx6K7/LvOBBT/C5L/Bv3eVxtvUtSl/jPqDTw58YlF4KQ+dIQ+DIRHsLWfOSGYbLha48dM5VxacN2NwvAS6yk8KW70tPb16FokWTVyaFB2bEDSBjw98rDh/zYU1vNjtxQqViavrJGUn8fvp31Xx/r79OZxwmJyCnKJYgVTA3CNzmTNoTtmd7vlSfd8AMOJjsLGysP9f4t6qWMjY9SmcWoZlISMeNr4p/24GvCK/z9qW8T4kqJ3kpsHKZ+XFfy10ejnLtN/LoGHKDbArZpcqs7OQ2f1nVy7TTqcDz3byY8hbcOW4/DoMWwlplkvCFWHMlsuThq0AOxdoPUoWM1oMAZsySi4KBAKBQCC4JRAChkBQ29D0wLBiBgbIRrDrX0fzy201BYygBkGqWOQ19eJplfDuBGfXK2PxVffBuJhePQEDoK2PK88PCeSrrcrneDYhg/nbI3nVL+L679oCZ1ZD72cqdc1ziZm8s+oUoeevln8yUGCW2HAqng2n4vGt78g93f24p0cTWrasmPGuipgDqF47DZqBi1fV+ruBSJLE0ZhrrD1+hXUn40hIzwPs0duM4VkbZZmhSZkpfGGvrLFuX/84dwU8ythOvjjaGZj4nVIITM02Mn97JG+NaauIrzy3ks3Rm1Xj6erRlSc6PFEcyEmV60OHLS+Ond8Bk34FnY52jdtxX6v7+Cv8L0U/Oy/vZPul7QxtOlR1ja93RKq8GHQ6mDG6DQa9Dg8X2Yi7va/lckoFJjPJmflF4kZCeq4scKTnFYkciem5XM1SCgUpWfn8tf8ST7SVZOHi+GIwl5OhYOMIPR6Hvi9Y5TW15vwaVWxUs1EVXhD2c/Gjv29/dscqS9D8Hf43MbEBfLT+TJm+DmM6etOtaQPeX3NaEb+WbeTNZSf45dEeKuGpaG7a2MHg6bDiKWWnl0Lh/DYItCymVZWlZ9UiQFCDIG73L3UtSZJNxq+eK/U4Lz+uZ9Y4ApMA1LZAMjkpsPgBeCq4ykKVvcGed/q8Q3fP7ry39z3FQre10OkL0NldRW9XsffdkjR2bMxtTW5jYJOB9PburSzHV4LRzUbzxaEvFJ4ZKbkpBMcEa87tm41vj3+r+tvZ6m2Z0WsGay6s4dtj3yqObYnewrHEY3T2sODblXIRQuap40HD5Z3eVaDKn5s3CvdWcPfC4tJSp5ZTppCx4Q1ZyOj/CnR9WAgZdYX4k/DPw5azHJzcYeJCaH6bxS7OXD3D68GvKzZEFPJyt5e5I+COqo9PpwOfzvJj2Adw+ZB8XxO2Ql0WUYv8DDixRH44uEG3KTDs/TKb1Pq5KRDcooi5KRAIrEWNCxi///47rq6ujB8/vqYvJRDcHNS0BwbI5tEB/bVrQvtUzcC7EC0j78hUKwkYVjTyzjflczlDvSuzMiWkCnl2UCCbwhI4U6qU1L5dGzA7zEZflt9I2IoKCxi5RhNf09A2mQAAIABJREFUbz/HD8HnMZqqVvcn9loOX26NYO62CAa18uC+gniGtPYo07dBRbRG9k4tzr6QJImwuHTWnIhj3YkrXE5VL27OLZjASP1+mumLMyRGZGUzp2F9pJKLy7ZJPDzYhnaNGgMwoYsvy4/GKvr6NTSK+3v509zdGZCN7D868JHqmi62Lnw84OOiMkRc2AUrn4F0ZX+cXgkXg4sWIl7o8gJbo7eSmKPcLT77wGx6+/RWlKKKvprFr6FRqmtP6NKkTMGiNDYGPV5uDni5lb249cqSY4rfR3NdHN7bf0DavhudJaPZQmydoOcT0OcFcC7fDL0ixKTHcCTxiCo+tkXlavHe1/o+lYAREhfCpnO7kIyNNNs0drZn1vj2jGjvhSRJHIxKYf1JZX3ynWeT+OvAJR7opSyD06pVCQ+dDpPkBcbSRqnbZkKLoVbNwsg2ZrPmglrwuderH7qw5dfFiRJiRW6aRi9VuXAy/PMQTNlQrV3xo5qPom2jtiw8tZDQuFCSc5I1F+duBO0atZNFC7+BtGnYBr2u/PfY+g71GeI/hE1RmxTx5eeW3/QCxoVrF1geuVwVv6/1fTRxacIjbR9h6dmlJOUkKY5/fuhzFo1cpO33tGm6ukSdwQ5GqN+PK4pibtZmPFrD3T/DwDdg1yfyvYale5GMK7DhdVlkFkJG7efon3JpQUu+UX69YdIvcslYC8RnxfP8tuc1xd67W97NlHZTrDVa+TPKr4f8uONDuLRXFjNOr4KspPLb56aV75FFHZqbAsEthpibAoHAWlRixapqPProo7z55ps1fRmB4ObAbK55D4xC2t2lHa9mBkYzt2YYdMqttkk5SaTmplarX0AuIVWaxNNgKr/mfGliMmIwlaoX7OHogbOdc6X7srPR8/mkjtiUKM3UXBfHjzafoS+vvn/MfkjTKG9Rih3hiQz7chdf7zhnUbyoZ2fgmUEt6BeovaBaErME28MTeXLRYfp+vJ1PN4Zz6araCFeTSxoG3rXQ/8JoMrNwz0WGfLGLMfP38MOuC5riBUAedkwveEIR8zKZ6Jar/vutv1CcBfT6iFY42ipf7wVmidnr5cVmo9nItOBpmosE7/R5B29nbyjIg00z4PdxavGikL3fFP3obOfMmz3Vn6uJ2Yl8ffRrReyTjeGq14uDrZ7XS5vMW4lnBwei00GQ7jJzbb9mq93rjJZ2lS1e2LnAgNfgpZPyTk0riReA5mJ8YP1A2jSsnCdPP59++DqrswPsGuzTPH9CF1+2vjKQEe3lDBKdTses8R1o7KxenJ+19gxRpfxJtmzZUvwfvUHOwijNlWNwRv38qsP6i+vJMirH4mg2M3rDTPj3MdjxobwjNvaw9cSLQmIPw4bq3y8GuAUws99Mtk3axuEHD7P17q38OepP5gyaw5s93uTRdo8ystlIunp0xdfZ12qlmSSzHd42PZjR8122T9rO4jGLeabzM7Rr1K5C4kUhEwInqGJ7YveovKVuNr488qVKbHKxdeHJDk8CUM+2Hs93UXtWHE86zpboLao4kVvVGZsg+140qnpNS8XcrAt4tJYXs5/de/2+rwzBs1DImNdFLn2Zc+2GDVNQAYw5sPoFWPWs5QX9Ps/Do2vLFC+yjFk8t+051SYIkD/rZvSaoS0IWgO9HgL6wegv4JVweHiVXMLMsUHZ7dpPLLfrOjc3BYJbBDE3BQKBtbghJaSkqhTOFghuRYxZqHbI2dYDQw3Uvi4sI1VyEd/VF1y8q9WtncGOZm7NOHftnCIemRpJT++e1eobV19wbCiXHCmkIBeSI8CzreV2GkSlRalilS0fVZJ2Pm48NziQudsicecav9l+QgNdZsUan14NfZ7VPHQlLYcP1pxmw6l4zeOFjGzvxTtj2+LtJpseRl/NYsnBGJYevkxSRtkiSmJGHt/uPM+3O8/TL7AR9/Xw5452ntjbaNR8MebKC42lqYUZGJ9tOsuPwRUwkbzOYX0HQlxG0C+j2MxyVFYWhxyVO1E3XtzIK91ewaA34O3myNO3teDLrUrj3a1nEtgTmcyRjL84dVXtFzKuxThGNBsBCWGw7H+QGFb24CI3QXIkNJZLtA1rOoyBTQYSfDlYcdpf4X8xtsVY2jZqyyGNHf8ATw5sUW4mRVUJ1MWyrNEPdM4IRl+eP4C9m5x91Pvp8hcvqoAkSaw+v1oVH9tibKUXZwx6A7c3Gc9v4d8o4rb1D5GXNAwkuT63l6sDsye0Z0hrT1UfDZ3s+GRiBx7/7ZAinmM08erS4/zzVJ8if5rc3FKLU23GgXdnWbQoyY4PofVoWeSoDhnxSBGb+Cfsa9Wh0ZlZOFv7Ps7FR/68Ky2CHP4FfLtB14eschkbvQ2eTp54Oqn/HoWYJTOpuakkZCeQmJ1IQlYCCdnXHyV+1hIhzfkNKchsTUFma0zZzYmQbPj6siP+d+twr+IaeS/vXng7eXMlq7jMilkys/r8amW5uZuIwwmH2RmzUxV/ouMT1HeojyRJ6HQ67mxxJ4tOL1LdX3x15CsG+w3GtvBeqSBf9ngojYsPDHi1WmNVzc26gkcbuRThwNNyaamwFZbPzYiD9a/J94heHaBpP3nR2b8vOJW/QUJQA6RclEtGWSqbaucC47+BtneW2U2BuYBXd71KRGqE6lhQgyA+v+1zbPQ3qMK0wQaaD5Ifo7+ACzvlkmfha5Wbudz8oEmPcrurs3NTILjJEXNTIBBYC+GBIRDUJm6E/0Uhzu7Q93nZILaQ/i9bpRxJUP0gtYBxzQoChk4nZ2Fc2KmMx5+otICh5X8R4BZQ9bEBzw0OZNepi3yQ+hl+eo20eJ8ucumu0PnKeNgKlYBRYDLza2gUX26JKLO+vl9DRz4Y157BrT0U8aaNnHhjRGteHtaS7eGJLD5wiV0RSZjLWYcMOXeVkHNXaVDPlgldmzC5px+BHiVeg3FHwKT0OcDJAxo2L7vjG0xKVj6/hkSVe56NXsfAlu6M6ejNsLaeuJh7wTc9i8oaDMvKYXYjiYIS8yIxJ5HDCYeLXs9PDmzO4oOXuJKmvEF/a+MqUlwXqK7ZxLkJ03tMk7Mqtr6vLnFiiX3fwRjZsFan0zG913QOXDlArqn4umbJzAd7P+CPkX8wa90ZVRfuLvY8NbCG/lYxB+DXMXQ15ZW5yReH+vIu0V5PyrWta4ijiUeJzVRmtOjQMbrZ6Er1YzJLLNh9gZ+2Nca2mQ06fXHGl86Qg43rCQrSunNfDz+mj26Dq4NlwXloG0/u6+HH4oMxivjh6FR+DL7AM4MsrHrrdDDkbfiz1C7UpHA4+S90urdSzwmzGeKPQ8QmiNgIcUcJs7PjjK/ac+SejAoKsaVIk+pxQfLhguTFRbM3FyVv/IM68Mb9I9HZu0DMQfhlpNrMfd2rsgmsb9cqXbey6HV6Gjk2opFjI9o20v4ckSSJDGMGCVkJxGfGs/HMJZbvKyAnuxGlX+yXU3O4/6f9PNKnKW+ObF1sYF9BDHoDdwbeyffHv1fEV0Su4PH2j9fczuj/CEmSmHNYbcTtWc+TsQGT+L/lJ1l1LBZPVwcmdvXl2U4v8couZSZGTEYMS84u4cG2D8qBfd/KJc5Kc8dMsK98luVNhWfb60LG9dJSp1eWcbIk31/Fn4D938kh9zbyhoWAfrKwUVu8r/Iy5b+5wU7OsLmZDNrD18OKpyHPQtabRzu453doHFhmN5Ik8dH+jwiJDVEdc3d059uh31YpC9kqGGwhaJj8KPgKzm2Ty0yFr4d2461aKlEgEAgEAkHdRAgYAkFt4kb4X5Rk6Hvyrt74k/IX0qBhVuk2qEEQG6I2KGJau72qhJeGgHF2g1wnvhK7kC+mVd/AuzR2OhOLXL7FRaPvOL0Xje9ZjF1+qlrAuHxALiPl1gSQFzNnrDhJeLzG6+E6tgYdTw1swXODA3G0s/y8bQ16hrfzYng7L+Ku5bD00GX+ORRD7LWyTW5Ts40s3HORhXsu0r1pA+7r6c/oDt44avpf9Kl1Xy6XHb5Mvkm7bJFeB31bNGZsJ2+Gt/Oifj27EkcbwoiPYdnjANQ3m+mfncNOJ6Xp7vqL64sEDEc7A2+OaM1LS0rsjtdnk+T4i8r/xKAz8EnX13Ba/ABc3GX5Cbh4q40uj/8NQ96Ceg0B8HX25ZnOz/Dl4S8Vp4VdDePtHT9xLMZf1e1rd7TEyb4GPvolCTZOK1OMuYYrLkNextDrfzUnzJZAK/uit3fvMnfjlyYiIYPX/z3B8ZhrgCO69I7Y1ld6ajg13s/8ic8wsKWHdieleGtMW0LOJxOTopyDc7acZVArd9p4u+LmpiHsBA6VS7WVLuG2cza0n1B+pl5epvyai9gIEZtlA98SLHFVL1x1zM2jTb5RFS/CxgEatpAXDBsFQqNAwo2ePLgymWSzMyUX933rOzL7vgHo7K+P068HjPxEruVeElOevNP4yV21Zre3TqfD1c4VVztXghoEMcAPnuyWxev/nuDAxRTNNr/tjWbH2SQ+vbsjvZtX7nmMDxzPD8d/QCrx/nEp4xKHEw7T3at7tZ5LbWPrpa2cSFLvKp8c9CT3/XCY80lySbOLyVl8vjmCBk62+LXsREzuccX535/4nnGB43DNzYLgz9QXatqvQmVoykNzbtZFPNvCPb/JWYC7PpH9CCpC0hn5cWih/P+GLYrFjKb9oL5fzY1ZkiAzQc66TY6ApOv/JkdCeolSnI1bwkMriu6p6iymAtgxS/ZAskSnyTB6DtjV0zx8POYah6JTaeRkR0TuWv6J+Ed1jqONI/OHzsfLqZaIUTb20HqU/MjPrpD/BdxEc1MguMkQc1MgEFgLIWAIBLWJG+V/UYheLy98tVfX3K4OWkbeZ66qd4NXCS2PjtMr4a8smPhThUvRaAoYrtUQMCQJ1r6Ey+WdqkMpkjMP5LzOuIPpvDysjbyDManU7+P0Kq51+h+fbAzn7wMxqj5K0qd5I2aOb0+gR+V2yvnUd+TF24N4fkgguyOTWHwghq1nEigoJy3jUHQqh6JTeX91GKsabEW1f9+/dpWPkiSJvw9cUsXbersyuZc/I9t7aXoRFNF+olznP3IzAKOyslUCxubozUzvNR07gyx+jOvkw6+hURyLuQZIOHivQG+r3i35jPdtdFzyGORaqC2ut4Wh78gmql+2h/wSIpYxGw7/CgOKF3wfavsQay+sJTI1UtHN2piF6GxeQSoo/tLQ2suFu7vV0OLShZ3apcWAJMmNHwrG8KdpKDOdenH3DRAvcgty2Ry1WRUfFziuQu2NJjM/7DrPvG3nFEJYfmoflYBhtouhQYMEoGIChrO9DV9M6sy9P+6lZGUmo0ni5SXHWPV8PwYOHKhuqNPJr41fRirjqVFwdBF0f0zdJjW6OMsiao9FgSlNr2Ojk3oBbFJGJuj0UN//ukARpBArcPWVP0euk5Fr5H/zdpNsVv6N9Tr48t7OuDmWElm6Pya/bo79WWpAMfDvFHhwuVxmpBbStJETi//Xm9/2RvHJxnByjWrB9FJKNvf9uI9H+wbwxohWFc7G8HX2pZd3L/ZdUXqsrDi34qYSMIxmI18d/koV963XnHmrXUnLzlIdS80yknb6NpyanYASZerS8tJYcHIBr0SdgfxSWUM6vSyWWUFo15ybdRnP67v3E8Jg58dwRi38lknKeflx5Hf5/27+JQSNvnJ2ZmV/7yaj/L6WdLZYoCj811IWQkmSI+TSjFPW17rNFRUmI0HeSBG1W/u4wR5GfSr7R2g8x4xcIzPXnuafQ7KwY+NyEgffv1Sn6tDzZrdZ/8/eecdVVb9x/H0Xe6lsBEFAHAz3ViQ19yp3tsustGU2zPxVNjW1oZmVaUMztdwjJy7cCqKICxAFQYay573n98dV4d5zLlymWvf9evESn3vG91zuGff7PM/nQ8uGVetirjfMrAwmZ/T5152bJkz8SzCdmyZMmKgt7s9vhSb+01y7do1vv/2WjRs3kpiYiFKpxMfHhxEjRjBlyhQaNKh9rfT7BikJKYs67MCoI5o3bC6KXbx1kSJ1EeaKGrb1exqQobq0A37oBWN+12o2V4AgCLXfgbH3Czj1uyhcKKh4tnga8YIbC/dc4uFWLrRqNRzCdRMYGUf+pO/OZmTmFYu2cQdHGzNmDGrJsNbuNZIRUchl9ApwpkHhdWYN781fJ6+x8mgiCZWYeOcVFeN4M1IsD9Tk/jLwPhSXQVy6eOJrwfg2NHUyIukjk2krGhd2gpI8QvMLsNRoKCg/UVucw8Gkg4R5hQEgl8uYOaQlj3wXgdL+BCq7aNFm2yrseO7gMsP7dWqhTcLd+fy2fVwrhVKeoz9o5ZeU2sSJSq5iZueZPL5VzzNAXoS5yyYKkx67G5oxqOVdj4VaZ9+XolC23IH5RUP4Q/0QhWjP++/2XGJEG4+6G8dtwq+Fk1Oi28FkpbTiIc+HKl03JjmbaWuiOJssvh5rCj1RFzRGYXlNJ77y/EqCnCq+7pSno09DJvZoymI9j5bYlBzm77jIAPciQkIkkrVNuoJvb7i8Sze+d7a2EleugmvHbndZ/CNOlBpgk401hXJdo2lbFPTrOxf8+93t+qmMDzbEiDpLQCuv19FHYhsymVb7PPUMXNetqCd+L+yeBX0/NGrf9wK5XMbT3XwIC3Bm2poojiXclFxuWUQCe87fYM7IEOn3QYIRfiNECYztCdt5t+O7907mpZZZc2ENiTniZHPc+V4U5xuWTtQUuVOS1UaUTFwe8xtjr1xBZF/c/tlKnwuMJSoqSvrcfNBxaQVjfoOUM3DsJ4jfp01MVJWsRIhK1HYMgrabsEnXsg4Np4CyCffCLEi/VNZRcecnMw40pYb3YQyJEdquklbDa7ade8GVCFj9tKhL7i4OXtqkk3sbyZcPx2Xw5uoort3UXovlFolYuP+JTMKXqiBlEFOXlfCBxXYCXGwJcLWluZsdzV21v1ckiXi/8a89N02YeMAxnZsmTJioLeSVL2LCRP2xbds2goKCmD17NufOnSMvL4+srCwiIyP53//+R1BQECdOSFf5/iuo7w6MOsLF2gUnSyedWKmmlAuZtSAj5eClrTiT4mYC/NQXTq+ucBPpBenkluhWaFoqLaskLaPDyV8h/DNRWC3ImFIyhVOC1ni5VCPw5urTlDQXV4E3uhWFRV6y5OZlMpjQ2Ytdb/RieBuPWtNAT0xMxMnWnEmhvux5sxd/PN+ZYa3dMVNK3xpayBKxk+lNTprbgUtgrYyntlhxRDwh1qVpI+OSF3dw8ITe7wNgJQiE5YsnZbfEb9H5f1uvBvQNlmPhKq5gtdEIfB5/DoNiX51ehIl7dCfZOr2grRwuT851kWZ5a+fWjGw2UrRJlV00CutYAMICnOju72ho7zXjyiG4ckAUTu/1OUvVA+4mLwDi0vPYHH1dtGxts+GS+G/Qt0lfrFSGKzmLSzXM23GBoQsOSCYvQHsudnYcIopvi9/GzULpyWtDvN63GQEu4uv74n2X2XNG/Bm+y+3PpQ451+GXIfClHyztDwe/Mjp5IQCrbMXjGNZiHJYh44xOXmyMSuavk9dE8RBPB17p7W94RZUljP5Nunvu4FfGS9vcQ7wdrflzYhfeH9wSC5X09fNKRj5jfjjERxtjKKjA1+gOvZv0xs5Mt4ChUF0okmd8UMkryRP5fACU5vlRnFvB5+U2RWn9EDS6dVjFmlK+aeCgu6BlQwibXqOxlicxsYJz89+AayAM+QpeOQlvxMKjS7QJICdxYYpR5FyHM39ppeK+6wRzfOHn/jC3OXzuBT89BOsmwYF5WvPm9As1T17cYcf7UPIAmccKAhz8BpYNNpy8aNYfXtgnmbwoLFHzyeYYxv14+G7yQqbKxNLzVx3vpjsUZ3al5GY3AHIKSzl+5SbLjyTy/rozjPr+EMEfbKfrZ7t4ZtkxvtgWy/rIJM6n5FBiQJ7zXvOvPzdNmHhAMZ2bJkyYqC1MCQwT9w2nT59m5MiR3Lp1CysrKz788EMOHDhAeHg4r7/+OgqFgqSkJAYPHkxysvRE7wOPZALjwdSNbNWolSh2NuNs7Wx88FcQ+o70a6UF8PdzsPUdrQyBBFLdF9523sj1J4uN4cJ22Pia5Et7fKexQ6Mr93HuejYLzyjROLUQLT9AcUQUC/SwY+1L3fh4eBD2VnVXCSeTyeji24ivx7bh6PTezBzckmYuuhP+HeSx4hU9O1bJe6SuSc8t4p+z4i/+4zuJ/SAqpeNE8GgHwKBccUdH+NVw8krK4iWaEjKtlyGTi7to/peegZtaYtLS1k2r1T3gc+1EbnkaeEPzweJ1Di1ER3sIeK3tazS0EE80W7iuR6EoYfpA8eet1tgv7r7AqTlNu4+hu584abJg90U0lbnJ14D0gnQiksVeLUN9DctHnUnKYsi3B/hm10WDkmpNnaxZM6kL3w1/Bnu963Kxppi1l9ZWaZwWKgXzxoSgUugmJAUBfr8oI6/IwCSeextoIU6icO0YFFQhiaIwA9/eHA99jTgz8bVlVMAoozeVdKuA6WvFXUdWZgq+HtMalaKSa2uDJjDyZ3HCDmDdS1opmfscuVzGs9192PJKD9o1ke4UFQT4+WA8A7/Zz/EEae+MO5grzBnUVGw4v/Zi1T5n9ytLzywls1D8HhTd6I9+m1/jBpYMb+1O+cYtodSe4sweovU321hz1qycr1HvmUYn4UzoYecGQSNh8Dx4+QhMu6xNNnaadDvZXo1iivwMrY+PvsdTjZEYy61EcRfj/UphFvw5QZt0ESSeFWRy7Wd57B+Syd4797Af98eXPR7IC7D0XIZcmStavjSnBUWpEs8XeiRnFbI79gaLwi/z6spI+n21j5Yzt9H/q328uvIUi8Ivc+LKTQSh7u7pJkyYMGHChAkTYJKQMnEf8dprr5GXl4dCoWDr1q06eomhoaG0bduWxx9/nJSUFGbMmMHPP/98D0dbR0iaeD94HRgArRxbEa7nB3Em/UztbFwuh7B3tRN5f0+U1kQ+sghSTsPIpWCr21mRkJ0gWtzbzrvq40g6CauflP6y2f0NevR6h4BvD3I+VffvumD3JawtQ3ge3QrpwYojLFFrJ6xszJW8+XAzHu/iXedyO/o4WJnxTHcfnu7mzamrt5i3/QIHLqVLJzC87i/5qL9OXKNErftFupG1Gf1aVcOcUq6AId/AD6F0KSjEQa3mlqIsWVOoLmR34m6G+GonkxdFLuLCrRjRZobm5NI/T0Keq8VQGPJ1xZNrXV4Wa5Jfj9ROADUp8x6xN7fniWZT+Oq0rtyO3OwmwYFH8XepIxmN5FNwaac43mMqyOVMfsiPA5fSdV66kJrL9pgU+ge61cmQtsRtQa13Trpauxr0DjibnMWYxYfIM1AVL5fBxJ6+vNbHHwuV9u8/wm8Ey84u01lu1flVPNnySRRVSOi1crfntT7NmPOP7gR9eqGMT7ac49MRBmRvwt6Dc5uAKk4a2biA/8PaKt6mvcDchtV73xIt1sG1A03tRW43kqg1Wu+OnEJxwuWDoa3wdrQ2bmy+D2lN6nd9pBsvzoWVj8Hzux8IScWmTjaseqELSw/GM+ef8xSViquV49PzGLX4EM928+HNfgF3P1cU5Wi9CEoLQdAwwtydP/TWjU6P5uLxH/C3dAJBo82KaNS3fzf0I2j/lSvAo+3dxOy9Ii0/jV9jfhXFS7JaoynUNV7u4N2A7ye0o5GNOZMf8uebXRfZeDoZQYDijFBUDkeRK3UTzHMbOrAk5QZZDi2xa/24qVqrtrB2hJZDtT+gTZgmHtF24F2JgORI6eeh2kRpCY5+WqNuxwBw9Nf+3shXmwDQvx/tnwutHxM9B95XpETDqie00llSWDtpE7w+Yh35UrWG7/de5qud+sl3AQu3NSjMb4jWURd4UJA0lurWMZaoBWJTcohNyWE92oKykMb2vBTmR98WLsjr+ZnVhAkTJkyYMPHfwJTAMHFfcOLECfbs2QPAU089JWn2NGHCBJYuXcru3bv59ddf+fzzz3F2Ns409YHhX+KBARDoKJYVqrUOjDsE9NfK7vw5AW6IJ465chB+CNVqBZfzzqgV/4vMeFgxWmusrE/wGOg9E3OZjC9HhTD8u4Ooy32xLNUIrMxvx/PmK3VWayO/hAdptAkO5v3BLXGxs6jamKpI3759K3xdJpPR1qsBHw8PJGzuHjpKJTCa3D8G3hqNtHn3yPaNDcpiVYprIHR9BdWBeTycl88qO92E4pb4LQzxHcKxlGP8FP2TaHXPkhKmZ+hVxZvZwMA5Ws+CyuTAPDuBe1tI1tV659BC0Xt/IMqL0jw/lDaXdOLxJVu4cPMpmjVoVvG+qoOE9wUNvKHVIwB0btqIjt4NOapXbf7t7kv0a+Vaa3Jo5dkYt1EUG9J0iGSHVVGpmqmrogwmLwJcbJk9MpgQT11ZmtEBo/nl7C8I5RIISblJHEg6QKhnaJXG+0LPpuw6l8rJRF1j9xVHEunb0oWwAIn7nHML7XXm9Erxa/q4t9EmLJr1A9cQHdPtjIIMdiTuEK0yutloo8f//d7LHI0XV9IPCnJjVLvGEmtUQPc3tInh2E268YyLsO5FrcfRA2DKq5DLeK5HU8KaO/Pm6ihO6f1tQZtT+OlAPLtjbzBnVAjtcsO13XyFZcu2AFq4u3LO3Exn3bURn/BWpnibRhP6dq3KKlWV76K+o6BUV5ZP0CgoSntYJzayXWM+GRGIuVKb4PFztuGbcW14OcyPr3ZeYOuZFIrT+2DhqiszdszSgr2WlnyTOprcbw/yep9m9GvlWisTq5XdN/9TWDbQPocF9Nf+vygHrh7VPnslHERIOoFMI90JWynWTreTFOV//MHeU+capsPDn8DlPbpJlOJc2PMxDP22euMAws9rOxAup+XR1suBp7p506Vpo9q5f13coX2GLTUgdeXVRVuIYydO+Mel5fLGqigir4qvBUq706jsxM/czpYuvNmXwUprAAAgAElEQVTxa1IyzTifksO5lBwupORQUFKzxFPUtSxe+O0EzVxseKmXH4OD3VBW1nlXy5jOTRMm7k9M56YJEyZqC1NRkon7gr///vvu788++6zB5Z555hkA1Go1GzaINc4feP5NHRgSElJxWXHkS03414RGvvDcTgh8VPr1nOuwdCAcW3JXdqfGCYy8DPj9UchLE7/mEwpDF9ydZAtqbM+Lob6ixS4LHpzTeIriv3W9zoLxbes8eQGQlSXRuSKBt6M145qW4CTTTbCVoNJOrt8nHIrLkDQiH9ehGvJR5Ql9Cxo2ZWCueNuHkiNIyErg3f3v6kxmAygEgc/TMrAuJ62Q1qANTDoArccbNxErk2m7MPSJ3axTrXnwUjp7YtMoTBku0oVXC2o+OvQRGqGWdatvnBNPNIN2ElpRNoYpvf1Ei5xNzmbPeXFlaE05n3me2Exxom2wr7RUxje7LhKbIr7uKuUyXuntz4Yp3UTJCwBPW0+6e3QXxVeeNyKhoL8vhZy5o1tjqRJ3bry95jQ388SSZIC2C81M4v6gstZKjw39Fqaeh4nh0OsdbSJDb+Jv7aW1lOrpzTe0aEhvr95GjT3q6i3m7xB7G7nZW/DJiMCqT/DJZDB8ETSS8ECI3QQH5ldte/cYXycb1kzqyvSBzQ0mURPSczjy4yuw+imd5MUdhueI5V822VhTzWlhLXu/gFPLa7KFahN3K46/L/4tipfc7IJQou1Gk8ng3QHNmTMy+G7yojwBrrYsmtCOTVO6M75Bc5oUi9+NDxu6cVLw5UJqLi8uP8ngbw+wMya1xlI3xt43/5OY25LvFcomp+eYZPYpIcVLGFf8HvNLHiVC3ZJCQVeqTi3IiNe4EGPblcIOk7XPTs9sh7fiYdoleHqL1o+jy0vg30crNWcoeQHg3Bw6SHyHOPkbXD9d5cNJSM/j2WXHeGrpMY7EZ5KeW8T2mFTG/3iEIQsOsD4yqWZ+ENnJsOZZw8mLLpPhyY2i5IUgCPx2KIGB3+yXTF7IFLlYuIi/I1mrrFnU9zsGtAjg6W4+fP5oMOtf7sbZD/uxd1ovvp/Qjtf7NGNgkCtNnaypTr7vQmour/0ZSe95e/njaCJFpXXckVMO07lpwsT9iencNGHCRG1hSmCYuC84cEBrAGtlZUWHDh0MLhcWFiZa51+FpAfGg9mB0cCiAR42HjoxjaDhXKZxxrJVwsxaazTZ71OQSci3aEq0BpLrJ0NJYc0SGMX58MdYyLwsfs0lEMb8Bkrdatkpvf1EfhIAW9SdRLGmqeJq6Lri6NGjRi/7VGOx78wpTVNi0gxMrt4DpMy7u/s5Gi9hYwiVJQz5mjZFRbiW6k72qgUNT//zNKn5qaLVXrqZRXCR9v0pERTMKRnN4Ox3ybGqYlV6y2Fg56EXFODIYu0YNAIfb9aeV0KJI8UZvUSbiEqL4q+Lf1Vtv5Wxf644Zueh7SwpR3c/R1pLJAG+2XWp1nWzN8WJEypBjkGSckhRV2+xKFx8Hvs4WrN+cjfe6NtMcvL0DmObjxXFDiYd5Gr21SqOWrvP6YPEPiU3cop4f70B6b0G3vDYam3S1L2t1rNlwl/wVhyMXQ5tnwBbw9JpGkHDmgtrRPFH/B9BpajcbyevqJRXV54SeYbIZDB3dAgOVmYG1qwECzttp4WZ+JrJ7llweXf1tnuPUMhlTOzpy5ZXuovOAztyWaKaw0tKwwUZg/LyMNN7j28qFIRbWRpYw0g2vQaJh2u2jWow/8RXomSqoLagKEP7fGdtpuDHx9vzQqhvpQmwQHc7PlT+zhs3xZO46WalqByO3/1/zPVsnvv1OMO/i2DvhbRqX3uqct/8r1BYombbmeu8vOIk7WbtZPKKU2w7m0J2qZJDmlZ8rX6U8SUzCC76iRFFH/JU8TT6Fs2mRdEywornMzBtMl1P9mKNEIbg2bFmniW93gULfe84Aba9K/KOMkRuUSmfb43l4fn72BUrnWg/k5TNqysjCZ29hx/2XSa7sIopRUGADa9IS6Ca22m9Rvp9AnrX4pSsQp74+Sjvrz9LYYl08sTJeysypdi366OuH0l2YsrlMpo0sqZ/oCuv9vHnu8fasXtqL2I+6s/Gyd2ZMzKY57r70N3PEUcbc6MO70pGPu/+HU3o7HCWHIgnv7iWjNkrwHRumjBxf2I6N02YMFFbmBIYJu4LYmK08j/+/v4olYaVzdzd3bGzs9NZ51+FZALjwezAAGjZqKUodja9lmWk7nCnUv2J9WAlNg4GIPJ3Cn5+mOQ83cl4GTK87Iyo0teo4e/n4ZrEg5hdY3hsjcQXZzBXKvhyVIjIy2KLRpzAIOkE3LxS+VjqGf9CsUHvMU0AyyLEyaB7QVpOLZp3S+HTE3mbCQyQ6MJIL0gXxdoWFvJslvZ8vqxx49HiD1ioHk5qXinfSUyaV4hCpZ2c1ufU71CYxV8nr3Huetm1ozijF+oiJ9Hi80/Mlxxrtci4DGckEiLdXhUl8GQyGVMeEndhRF69JfLHqAmlmlLJBIaUeXdhiZqpq6PQ9+tWymUsGN+GVu7i81ifbu7dRElaAYFVF1ZVbeC3mdDJi57NxH+3Taevsz4ySXqlJl3gyQ1aKb2Bc8CvD6iM696KSI4gKVd3uzJkPOpvoJtNj482xkh2PL3Q05euvgauwcbi3ByGLRTHBY22YvmWOFl5v+PnbMuaSV14Z0BzzBRy/GXXWG/2PmGKqArXs9cI9M4Xv89/20okeKqCulgrXVOP7+X+q0cIv7ZHFC/O6AVqazwcLPnrpa70aWmkX0H0akg8RFh+AW0LxVXsZk47QF6kE4u6eosnfz7KqO8PEVGL15//GkWlarafTeHVladoN2sHk34/yebT1yuUIipGxSnBn3BNGy4KjSmmbHI+M6+YN1dHMe7Hw1y6Ie46MhqrhhD6jjh+5YB0x2A5NBqBv05c46Evw/l+72WKjeiuSM4q5NMtsXT9bDcfb4oh6VZBpesAELkcLkkUrLgEarvmWuretwRBYH1kEg/P38v+i9KfW7kMBndOp8DshOi1vk368rD3wxJrGcZCpSCosT2j2nsyY3BLfn+uE8dn9OH4jD4sf64TMwa1INCj4iKrlOxCZm2KofsXe1iw+yJZBTXqHTNhwoQJEyZM/Iep8wTGE088wSOPPFLXuzHxAFNUVER6uvZhvHHjyiuT7yxz9WrlVa4ymaxaP/eMf5EHBkj7YJzJqCUjb0P49IAX9hk0Kb2SIU58udu4Y6mspJpVEGDr29JfgC3sYcIaSY3iOwQ3dmD2o8Eobycx3OwteH3cYAQXsdQWMevFsXuMLPGQKHZM05x1kclkGpK4qUdWn7gqqgR3tDGnr7ETYcbQdxaDNJVXlduqNXx+IwMFsN9+KIOLP+G0UCYjtmR/PFczqyil1u5JUFnpxopzKT62jC/1DKARlDTWTBBtIqc4hy+PS3hWVIcD87WTyeWxdtJW/UvwUHNnWrmLr2Xf7roksXT1OHz9sChBo5Qr6e/dX7TsvB0XJCfJXuntb1TyAkAhVzA6QOwVsfbSWgoNSYJUgEwmY/ajwdhbirsf3l93hpSsqm+zIladFydaunl0o7Ft5ffhrdHX+fO4+B4c5GHPG31ryWul1XBtQkyfgkztxHuJkROF9xFKhZxJob6ED85hg8X/8JGLO7cAzmqacFATRKx1B7IbhzLCrrlomQgrS1JaDIbAkRA0GoLHQsh4aD0B2jwObZ+Edk9D+2e1CVDvHuId5aXBH+OhqAYTxkaSmJHHq9s/FsU1JfYUZ3ajXZMGrJ/cjeauRj7zFOXA9vcBkAFvZoi7MOTKXMwa7pVc/fiVm4z/6QhjfzjEzphUoq9lEZeWy43sQvKKSmu9O+zfQHGpht2xqbyxKpL2s3Yy8bcTrI9MNughpI+TrTlPdGlCSGPD19jDcZkM+Hof87afp7AKvgxXc67y2ZHPmLJrCmsbOiM0Ekt3sn0GlBaJ42gTW49+H8HU1VHcyJFepiJyi0r56UA8PWfvYcofpzh9rQKPmqxr2o4QfWxctJJRemO/mVfM5D9O8erKSLILpTsZmjSy4udnWnG2eJnoNXtze6Z3qj3PG0cbc7r5OfJcj6ZsnNydZU93oKN3xV0zmXnFfLn9At0/383sbbGk51b9PTZhwoQJEyZM/LepcxPvZcuW1fUuTDzg5OSU6Y/b2FReUXhnmdzcuv/CXe9IemA8uAkMKR+MGIkEQq1j7wFPb4Wtb8GJZTovJajEk4Pe9t6Vb/Pg13DsR3FcYQZjV2hNdSvh0XaN6RfoStLNAvydbbSGojdHQKpeV8rZtdDtlcrHVEOCg4ONWzD7OtxM0AlpBBknNM0o1mj442giL4eJK+zrC41GYOVR8WTq6PaNUdWmiaRVQ5r1+Qzfw+9x2cxwImNmRiZuFg1h2EJ8nHqgnrsXSssm+4vVGj7beo7vHpNOskli2QBaPyb6DBYe+I6MnDmArtTRp/2Hs/baZTZc1pWm2Ry3mWG+w+ji3sX4fetz6ypESXg9dJmslduS4E4XxqTfdc3IjyZkciQug05NG1V/PLfRP1aA0MahOFjoyvacuJLJj/vjRMsGedjzYi+JSa8KGOE3goWnFlKsKUviZRVlsTV+KyP8R1RpWwCu9hbMGh7IK3+c0olnF5YybU0Uvz7TsVaS7Cl5Key9Jp7YNca8+3pWAe/8Le7IslQp+Gpsa4NeD9XioZmQfAri9+kNIgo2vwnDFjwQpt530Whg7+e47/1C+mVBxtzSUSxUDwNkkAFkQLCnHQ4NPuRWSVnCQwNsaBHKxGCJ7iwpSgph2SBIOq4bT42GdZNg1K8V+wvUgGMJmTy/5mfUTgmi14rS+vJIG28+eySoQsk2EfvmQG5Z111QcTEDcvPYaqMrGWjhuJ+SW50QSqUnzQ/HZXI4TmxCL5OBtZkSa3MF1uZKbMyVWJspkWvs2bXyFFblYtbmCu3vd2LmZTEXOwssJPxtHhRK1BoiLmew+XQy/5xNrXIFfSNrM/oHujI42J2OPg1RyGWoNQIrjlxh9rbz5BSJJ+RL1ALf7L7E+qhkPh4eSA9/cWfaHUo1pfwa8yuLIhdRqNYmecOvhRMf0Is3IvS6HW8mwJHvdRKjaTlFzN4Wy+oT1yo8Djd7Cx7v0oTtZ1MlfSfuoNYIbIxKZmNUMp18GvJ8j6Y81Ny5zEBeEGDDFOmO6yFfi+Sz9py/wdtrTleYVHmskxfTB7bg02P/k+yyfKfjOzha1rArzgAymYxeAc70CnDmaHwmC/dcYu8FCX+42+QUabtQfz4Yz9gOXrwQ2hQ3+xrK4d3G6GdaEyZM1Cumc9OECRO1RZ0nMEyYqIyCgrIqSrMKJgXvYG5uLlqvrtm4cSMAPXv2BGDfvrLJlGbNmhEQEMCOHTsovC1hYG9vT8+ePYmKiiIxsUyeoW/fvmRlZeloQQYHB9OkSRM2btxIWEYy+imcPYdOkhupnbQYMmQIV65c4fTpMjPCjh07Ym9vz44dZa3oXl5ehISEsG/fvrvGWRYWFvTt25fz589z4UKZ6WpdHlPiUbE0xZXsK6xavwpLuWXdHxN98GqiIDDxFxSC9ktyvEp82bMtsLj7N5Y6Jo/MCNrGfydaD4ARizl6w4zU6LL1KzqmPbeP6cKdY2o1HPboVaUmnyTuxG7OJpdpGNfV3wnQOXYXFxc6duzI0aNHSU3Vfu7cMw+jP9V+TvAiB21HwI97YvHIPodCfm8+e7/8c5TETN2JNxkCTjkX2bjxouQxQTU/e7fM6FFqz2Uz6evP0Jxcert05R+bERSfL4bzu3ikZSNWnr6ps9yW6BSOxGVgkXPN6PNpd34AYciQlTMLtytKob/8GJs1ne/GQpvacT36IEGaIHbIdlAg6I713V3vMidwDh3adKjW3ykw8Rd8NLqTWMUKa44VN6cbGPw7FcUdx81KxvV83QnnmX8eYnKgUKO/U6FQyM5bO0V/D68crYTYnWMqVsPnkTIEQXcMSpnA5A52qBTyKp9PgcpAThbrJmYWH1mMMlZZrWOSJZ6graOMk+m6Y9x/MZ23f9xEX5+an0/RdtEiHwIXKxcCzAJ0rgfl708AGgF+uGguOYk5c0hLlPkZbNxYJhFUG9dy2cNfo/q5D5YlGbo7jPyd05kqrjj1rvY99+6x1+Y1wsAxKdX5tIlfhGuWbnLqDtmCJa+VvMxuTVvRa6evZmNWEIS5k27HxvKo5bgkuNA6pLVRx2Te6CkezrkO2XqSZOc2UrpzFluLyvZdW9fyD37Zxm+xRVj4bBa1fasLXRng0JpPhgRwKyPd6L/T6d1/ERixQLS9sWpPtpOFmrLKfUFWQrD/djITR3I1z/hklyBoq+pzi0oB/cljiWITAyhkAkENoZurwMgeQfh4e9f7Z+8Oxl4jbGztMGvcil/2nOHglVzySquWJLQxkzE4pDF+5tk4am6ikCWQHpOAwrfsmByAt4MhPKsROy/clNzOlYx8Hl9ylHaOAuOamzFy8MM6x5RUmsQO2Q4uZF0Qrbv0ejh2LgE8l6rboaje8zk7UxuRr7Bn73XYkayqsINEKRPo4wHj29rQs6sf7SwzOOygYVeSjOhMEDD83hyJz+RIfCbOlgIjAxvwytDOJK6ZSTMJH5+rjXoQeaEULmykZ8+e5BerefP3CA6mGt6+g7mM+ePb07DwOos2fcWGXHESv7mqOZozGq4ortTLdW+CpwVvPtydLzae4uCVXIPvT2GJhmURCSw/coXOLjLCXEtxsqz+96c7pKam3nfn04NwfzIdk+mY6vKYyi/7bzmmf+PfyXRM/51jepCRCaYeaRP3mPT0dJyctNVVY8aMYeVKicrecnTq1ImjR49iY2Oj070hRW3JQdXbafJlM8jVk5R4PUbbUfCAMmTtEBKyE3RiP/T9oWYV4FUl6QT8+ThkJ/GWUyNRheb7hSpGP/onOPqL140Lh99Hao3A9Xn4E+g6uebjW9RdWwVbnj4fQvfXar7tCti4cSNDhgypfMHNb4oq/5eW9uPD0ifv/n/B+DYMDnav7SEaxaTfTrBNz/+iZzMnfn2mY53s72rSUQbufFYU9yxVszrwVaw7TtSpCs8tKiXsy3DS9CooAz3s2PBy97LKTGP4Yxyc36ITOqnx45HijwBQKWTsfCOUJo20n/G1F9cyM2KmaDOTQibxcuuXjd/vHXJS4asgUOtN6PV6F3pJ6I7rsT4yiVdXRorif7/UlbZeDao+nttIHae9uT17Ru3RMaT+YMNZlkUkiNZ/u3/zKndf3CE6LZrxW8aL4isGriDIKaha21z590bmnbMUVd1aqhRsebUHPjUwpi/RlNBvTT/SCnSrZF9u/TKTQiZVuO7ivZf5bGusKN6vlQvfT2hXdxKMSSfg5/5a34byyFXabjvPDnWz39oi/SKsHA/p4olWAKFRM5b7fMqHh0ooUUs/b8iUt7D2+wKZTPf1nx7+iU5uEn5KhkiO1L6XpRJJ2JE/Q6BxHiiVodYIzN4Wy+J9cagaHMLCVSyN+Lz/p7zS1Yh7UHkEAZaPhEt6CUulBbx8hC8vreGXmF90XpIhY/WQ1cQn2/PVzgvEphifgKhNvBtZMb6TFyPbedLQupom93WEIAhEXr3F+shkNp1OJj23atKQthZK+rVyZXCwG938HKvU/bj3QhrvrztDYgXSirYWSt7q35zHOnpRqC7gu8jv+O3cb6JEbHnkyJifmsZDeh4ySb5jeDx1PHHpYqPr8gwIdGX6wBZ4NrSSfD0+PY+fD8Sz+sRVg4ba5WlllcXfsjcxV+vt19YNXjoMltpuwRNXMnljVRRXJDyG7jAo2I2PhwXSwNqMnOIcRqwfQWq+7vcHW5Uta4etxcW6FqU0q8DF1BwW7b3M+shk1PqGU3rIZTA42J2XwnyNl5HTw+hnWhMmTNQrpnPThIn7C/3vaw9SSsBk4m3inmNrW2ZSbYws1J1ljJGbEgShWj/3jH+ZBwZAK0exjNTZjDoy8jaERzuYuBe8exAvISHlc/Ma/BAG5/T8LVLOaBMfUsmLzi/VTvICoNUwcSxmXe1suzaQ9L8I0Pn/0oMJ9TQYXW5kF7LjnFhHfnzHWjLvlsDToyNtrT11YgoBPu/5JdadXhBJ2tiYK5nWT/f9AjiTlM1fJyuWrRDR+SVRqK38Em1kFwF4oov33eQFwHC/4bR1Fld0L4leQnxWNQzYDy0QJy/MbKVNxiUYHOxOU4nJ9293Xaz6WMohJR81wHuATvLicFyGZPKitacDz/fwqfa+g5yCJOXyVp6vOBlfEdYq+GKkuOW+oETN1FWRlBphLmuIfVf3iZIXCpmCR/wr9is7k5TFl9vPi+IuduZ8/khw3fpHebSDQXPFcU0JrHoccm/U3b5ryvlt8ONDBpMXBAxE9vwuJgzuS/i0MCaF+uJgJb5PCaUOqPPEUn1TNi5mxZFE8oultfFFuLeGEYukX1v3klayq4bkFpXywm/HWbwvDuRFmDmKu6MCG7ZjSpfBVd/4+a3i5AVoZYEaePN88PPYmek+NwkIzD8xn/6Brmx5pQcLxrfB16n6ScDqkpCRz6dbYun86S5eXXmKo/GZ9/xLY3x6HvN3XCDsy3BGfBfBsogEo5MXNuZKHmnjwZIn23N8Rh++HBVCrwDnKks3hjZzYvvrPZkc5odKIX0dySks5f11Z+j/w08MWTucX2J+qTB5AaBB4G0XZ06b6yaLXC+twrwCOdNmLjaseK4Tiya0M5i8APBxtGbW8EAOvdObqX2b4WhjXsFoBN4tWSBOXgAM+QYsHSgqVfPFtlhGfX/IYPLCzkLJN+PasHB8WxrcToLNOzFPlLwAmNZh2j1LXgD4u9gyb3Rrwt/sxYTOXhXKC2oE2BCVTP+v9vPcL8crlOkyYcKECRMmTPw3MSUwTNxzzM3NcXTUarNeu1b5ZN6dZTw9PStZ8gFDXSJRESkDVf1/ya5NAhuJjbzPptdzAgPAxgnNhL9JMBdr7fqUlEBxDvz5GOyaBRq11mRx+ShpneKWw7XdF7VFSwmt/ORTkFmNCeba5maC2KMDrYF3eU5cuVmxaWUdsfrENVFln5OtOb1bONfpfv/XZwGNbk+SqWQKZnX7iGD/gQaXH9m2saSJ9ex/zpMnoQFuEO/uCK7iqv5nlVtxsFLxykO6XUQymYyZXWailOtKp5VoSph1eFbVJs/yM+HYEnG8w7Mi3W5DKOQyXpLwS9lzPo3oa1nGj6UcSblJHE89LooP9R169/e8Iq2HhD7mSjlzR4egrKFXypiAMaLYtvht3CyUlkYxhrAAZ8Z3EifiTibe0k4MV5M/z/8p3pdnGM5Whs+ZgmI1r6w8JdkdMHdU67sTaXVK2ye0xtT65FyH1U9r76H3ExoN7J0Df4yVvo8AhL4DY5bfLVTwcLDknQHNOfxub2aPDBZdM0puiTtN8lWnmL7+KJ0+3cWsTTFcyai4qhyAViMg9G1xvLRQa+qdkyJ+zUiuZuYzclEEO89pk0pmDfciV4rHNKPrtKonvUoK4R8J82N7T+im7Vi0N7fnheAXRIscTD5IRFIEcrmMwcHubH89lK/HtmZQsBsdvBvQ0s2OJo2scLQxw0JVt1+PitUa1kcmM3rxIR6ev49lB+Or7C1RE9Jyivj5QDzDFhwg7Mtwvt51kYQKqv3LY2WmYGiIO4sfb8fxGX2YN6Y1vVu4VM2/RAILlYI3+wWw9dUedPQR309kijws3P7kuuU33Ci4bvR2C9Ew2cWZRGXZPVAhE5ih/B3QvZ7ZWSj5cGgrtrzSg65+xntGNLA2Y0pvfw68HcbsR4PxdxYXWD2m2EV3hfhZar9Nfw4r23HuejbDFhxkUfhlDDUr9PB3ZPvroQwNKet2PXz9MGsurBEt28WtC8P9hht9DHWJZ0MrPh4exIG3wpjYsylWZhV/VnaeS2X4woM89tNhIi6n3/MknwkTJkyYMGHi/uCeeGAIgkBmZiYqlQo7uwe7utxE7dCyZUv27dvHxYsXKS0tRamU/mgmJyeTnZ19d51/FYYMvOvIVLO+uC86MG6TUphOIbpax7ZqDY3KVzPv/1KbPMhOhpxk8Ua8usKIxbX7d3H0A9cgSNGTkYpZB91fr7396OHiYkRl3v556H/JFxr60kjjSZqeDMeyiATmjW5diyOsGI1G4A8Jn5Ux7T1r17xbgqYOTdk+eg8xGTE0tm1cqUGmXC5j5uCWjPnhsE48LaeIReGXeVOiQ0MSmYwYrwm0StGdfBwgP0JeF2vsJSq3fR18ebrV0/wYrSsDdizlGBsub2CYn0QHkBRHvocSvYlIpaXWvLsKDGvtzte7LnA1Uzdhu2DPRRY/3r5K2wLYdHmTKOZj70OgY1ny9NMt50T7A5jWLwBfp8q7+SpjgM8A5p6YS1ZRWRKmWFPM2ktreSbwmSpv7865+d7AFhy8lC6qxp2/4wKhzZwI9JA2JjZEYnYih66LO6pGB1Rs3j1rcwxxaeJJ6Od7+NDdv27MYSUZOAdSz2glpcpz5QDs+B/0/7T+xlIRRTmw7kU4t1H6dTMb7X2khXQHgoVKwej2noxq15iTibf4JSKBLdHXKc1tiVBqhUxZ9nmQyUtR2UWRc6szSw7E8/PBeHo1c+KJrt6E+jsZlqgLfQdunINzet1LOclauaunNoOqaua6xxMyeeG3E2TkaSv4ZcpszBrtFy03wGeAZNdSpUR8q02q69PvEzArq5Qf23wsK2JXkJSr6/Ux98RcOrl1QiFXoJDLGNbag2GtpSU6S9Ua8orV5BWVknfbCyOvSE3kmXO4efmQV3wnpo3n6iynjaXmFHIrv+LExMUbuXywMYbPt8UyJNidxzo3IaSxfa13NOUVlfLP2RTWRSZz8FJ6pZI+5bFQyend3IVBwW6EBThjWckEdE3wc7blz4mdWXPiGp9uOcfN/GKUdpGYu2ySTITdwb+BPzM7z2Tx6R8ZzfgAACAASURBVMUcSDqg89pNhZxJrk78npxKQ432ea+b4ix91CfZqWmHXAbjOnox9eGAGkl7WagUjO7gyaj2jQm/kMZP++M4eCmDxrIbTFcuFy2fLDTkpfSR5PxwGJlMq44mhaVKwfRBLZjQyUvnc5Ffks8HER+IlrdSWvFB1w/qtiuuGjjbWTB9YAteDPVlaUQCyw7Gk11ouIDj4KUMDl7KoI2XA5PD/HiouXOFx2TUM60JEybqHdO5acKEidqiXhMY169f56233mLDhg13ZYCsra0JCAigTZs2d39CQkKwtKzalyYTDzbdu3dn37595Ofnc+zYMbp0kfZHCA8P11nnX4VUhaa5rTj2gNG8YXMUMgVqoSxxcD3vOhkFGTSybFSvY0nIShDFfEpKxBaDl3dJb8AxAMYuB5VFbQ9NWxGrn8A4W7cJjI4dK/GIuJUIkStEYVnIOJ628ubtv3THuynqOu8OaIGTbUUyCrXHvotpXLupOyktk8HYjvXTnWWmMKO1s/EJm05NGzEwyJUt0brVzT/sj2NsR08aNzAsVXGHErWGN2J8+U1wwFlW1vGikAmMVG8BukmuNzF4Ilvjt3ItV7fLbe7xuYR5hYkkV0QUZmsTGPq0exJsnCodd3lUCjkvhvoxfa3u5+efs6nEpmRXSf9aEAQ2xokniYf6Dr070bH/YhrLj4gTXR28G/B0t+pLR5XHQmnBCL8RLDu7TCe+6vwqnmz5JAp51Sb87pyb1uZK5o4KYfTiQzpVuaUagamrolg/uRsWKuO3LVWp62XrVaGHwvazKayQeP9autkZn3irLZTmMPpXWBwK+em6rx1eCB5tIWhk/Y5Jn4zLsPIxSDsn/XpDXxi7ApybS79eDplMRrsmDWjXpAEzBrXgj6NXWRrbDrWtblJA5XCckludAe0k6J7zaew5n4Z3Iyse7+LNyHaNsbfUS27K5TDie7gZL773JJ2ADa/AIz+IJPEM8deJa7z7dzTF5QoCzBx3IpPrTuAr5UpeafOKUdvU4dZV2C8hI+YTCi2G6oTMFGa81u41pu2dphO/cPMCG+M2GlWZrlTIsbeUi9637v49jB5yiVrDrnOpLD+SyP6L6RUuW1iiYfWJa6w+cY1W7nY81qkJQ1u7Y2Ne/a9qJWoN+y+mse5UMttjUozyabiDmVJOWIATg4Ld6d3cGesajKOqyGQyRrX3pKVXKZP/eY90TbTBZQWNEi/5MOZ3n0qThrbMDZ3LU9ue4lym7vl3VaViiosTP6XcwPJ2puA95e/kufdixtAQWrlXLRlc2fjDApwJC3DmbNJNzJaPwDpf3wge3il5nhy0931DyYs2Xg7MG91a0vfom1PfiJJ0AK+3ex13m3vjSWYMDazNeKNvM57v4cPyI4n8tD+e9Fzx+3OHU4m3mL/zAg81r7izttJnWhMmTNwTTOemCRMmaot6K+2+ceMGnTp1YsWKFeTk5Nz1GsjNzeXkyZMsWbKEyZMn061bN+zs7GjVqhWPP/448+bNY8+ePdy6ZdLC/DfzyCNl2ttLlkhIlNzm559/BkChUDB06FCDyz2Q/Av9LwAslZb4OojNce9FF0Z8tliSydvKyKoQG1eYsMZoqZwq01JiQuV6JGRWXyqmMo4ePVrxAge+Evt/mNtDp4kMa+1BA71q/2K1RnKis66Q2ldoMyejEgH3incHtMBMrzukuFTD5xLGyFKsPJrI+fRifil9WPSa4tSv0p1caCfYZ3SeIYrfLLrJ4qjFle/42E9QqCfxJFdB12pMRAKPtvPAzV6cCFyw+1KVthOVFsWV7Cs6MRkyBvkMAiC7sIS315wWrWepUvDlqBAUVTFQr4TRzUYj00uHJuUmcTD5YJW3Vf7cbO/dkBdCxdfQ86k5zN9hwFdBgmK1tiNEn1HNRiGXST8O3sgu5O2/xO+fuVLON+Na11g2plrYN4ZRS0FqzBumSEre1RsXd8KPYYaTF3594fndRiUv9HG2s+DVPv78PmaK6DWF5TXk5mJZnYSMfGZtiqHLZ7t4b2005293zQmCQHGphiy1GWmDl6GW6iCLXkX0qg/5/fAVftofx4LdF5nzTyyzNsUwfW00b/wZyYu/n+DppUcZuSiCqaujdJIXcrMbqBzE0m7jmo+jsW3jKh8/22eIZTblShgwWzLJ0q9JP4IdxT4y3578lgIpA3MjqfS+WQ6VQk7/QDd+e7YT4W/24oWeTY2q8D+bnM30tdF0+mQn762NJibZgASZBIIgcOLKTWauP0OnT3fxzLLjbIhKNip5IZNBl6aNmP1oMMfe68Pix9szNMS9XpMXAKWaUn45+wtP7xhTYfKiNK8pefGvEnOuAwO+OsiP++LIypfhUvAymmIH0fKnLcx526nR3T5cH3kqK4KjajV5oU+rpDX454t9ZVaUhrFPE2JwPaVcxrR+Aax+oYtk8uJk6klWnBMXmLR3aV9pR939gq2Fikmhvhx4O4yPhrXCw8Fw8eLLvfwq7SipyrlpwoSJ+sN0bpowYaK2qLcExscff6zjb+Dm5kb79u1xdXUVGSir1WpiY2NZsWIF06ZNo0+fPjRq1AhfX/EXeBP/Dtq1a0dYWBgAy5YtY/9+seTA8uXL2bVLWxn/xBNP4Oxctxr39Y6khNSD34EBSEpF3AsfDCnTYp/gJyBsBoj7MMows4XHVoND3RlD08gXXMWTLZytOzPv1FSx6eNdspLg1G/ieOcXwcIeC5WCcRJG2b8fuUJxafUNho0lNbuQXbFi4966NO+uDTwbWvFMd3HV/6bT1zmekFnhutmFJczfqTW7XqF+iEJBr6K6KBtOiWUq7tDNoxv9vfuL4ivOrZDsTrpLcT4cWiiOtx4P9tLyK5VhrlQwSWJSfnP0dS7dyDV6Oxsvi7svOrp2xM3GDYCPN8WQnFUoWubdgc11zM5rA087T7p5iDtgVsZW3cxb/9x8rY8/zV3F94Mf9sdxNL7iz80dtl/Zzq0i3WIQM7mZQQkxjUZg6uoobkpI4MwY3BI/53t4f/LpCX0+FMdL8uHPCVBQz0UvggAH5sPykeJE3x16TIXxf4KleGK1KgQ6taBlI7GEplSy4A75xWqWH0mk31f7aDVzG77Tt9BsxlZCPtxOhwXnGXVrMkWCeJK6VcxX7NnwCx9vPseX2y+wcM9llhyIZ8WRRP4+lcTWMynsOZ/G8Stirxcz523IZLr3AluVLRODJlb9oOP3aSUV9en4gsFkkEwmY2r7qaL4jYIb/BYjcW8zkgrvmxXg7WjNuwNbcOjdh/h6bGtJnwd98m7/3QZ+s58R3x1k9fGrFBSrJZe9dCOXudvPEzonnEcXRfDroStk5hlnxt3SzY7pA5sT8c5D/DGxM6M7eIo7duqJ2MxYHtvyGF8e/9JgoklQW1CY/CgFic8jFGs7APOL1Xyy5RxdPtvNxpO5FFx9BkEtnhDfY23F540a3BXGlO2dA3kVd8dUm8w42DFTFM61cGOp9XMGV2vmYsO6l7vxcpifpD9TYWkhMyNmIujJe1ooLPiw64cGE9L3KxYqBU908SZ8Wi/mjAymqV7CxtfJmn6tXCvdTnXPTRMmTNQtpnPThAkTtUW9PeFs3rz57u8//vgjSUlJHD16lOTkZNLT09mxYwdffPEFY8aMoVmzZgCixEZCQkJ9DdfEPeCrr77C2toatVpN//79mTVrFhEREezbt4+pU6fy5JNa804XFxc+/vjjezzaOkBSQurB78AAdLTo73Am40y9j0MygeHQFEKnaRMUFhJVeHIljPkV3CSSC7VNKwkzb6lJm/rg4Neg1pv8MLOFzpPu/ndC5yaiCva0nCK2RBtvsFld/jx2VaTh7WpnUanEwP3Ay2G+ONqIq3BnbYpBU4Eu+cI9l+5OSN3Ejr/VElImRxZpTegNMLX9VCwUup0PpUIpc49LSLPc4eQvYrkemaLG8mZjOniK5MYEAb4LN64Lo1hdzNaEraL4EN8hAOyJvcGq49dEr3dp2ogJnZpUY8SVM675OFHsQNIBruZcrdF2zZUK5o9pjUqhe74JAkxdHUmuEUbwq8+vFsX6ePUlJ8+cQ5cz+OvENb7ZdZF3/jrN40uO8NDccEnZm97NnZkgYS5e73SdIt25lhkHa1/QmmjXB8V5sOZp2PkB+n5BAKisYNQy6D0TqiglZohH/B4RxWwdT+PRoPJJ57xitcgk+KTQjOkl4glVuUzga9VCmsmq9vlVWCagso0RxZ8NehYHiyomcNSlsFXCcNzaCXpJxMvR1qUtvb16i+JLopeQXlBHk9aVYK5UMKy1B6te6MKO13vyVFdv7Cwq73A4lXiLaWtO0+nTnXy48SyXbuRwI7uQn/bHMeTbA/SZt5dvd18iMdM4M24PB0te6uXL9td7suXVHkzs6Yub/b2T7y0oLWDeiXmM3TSWmAzxZ+cO3d16E8SnlGR1oKLCE02xMwVXn0DQiN/blXa2LLO/nYAtyoI9deCdo9HA+snapKoeNqMWsfWtgSwY34aQxmXPnTIZTOzZlA2Tu1fob/Rd5HeizkOAKW2m4GV3H1ybq4lKIWdUe092vBHKwvFtaemm/Q70Ui8/w14+JkyYMGHChIn/DPWWwEhKSkImk9GvXz+effZZndcaNmxI7969mTZtGn/88QexsbFkZ2ezb98+vv76a5588kmCgoJQKO6BVIGJeiM4OJg1a9bg4OBAfn4+M2fOpFu3boSGhjJv3jzUajUeHh5s3rwZd/f7V9u12vwHOzAEQ6K/dYRkAsP+djW8f1+YGA4u5ZItciUMWwi+D9XL+GglJSMVpdVUr09yUuDEMnG80wtg2eDuf90dLOkfKK6KWxqRUHdjA9QagZUS5t2jO3hKViveb9haqHjzYbF3QNS1LNZFivWsAa5m5rP0QIJObIl6gHjBmwlwfovBfbtau0qaSodfCyciOUK8QmmRNpmlT9BIaFgz/wgLlYKJPZqK4usjk0nMqHwSbu+1veQU6143LZWW9GnSh6z8Et75Wyx9ZG2mYPbI4DqbDOnm3g0PG92uFAGBVedX1XjbLdzseKOv+HNzNbOATzaLJ/wEQSArv4SY5Gx+O36YkzdOipZZs9eTnnP2MO7Hw0xdHcW8HRdYeewq+y+mkyDxN3C0MeeLkcH3hzmsTKa9PjtJVOBf2Ab7v6z7MdxMgCUPw1mxNBcADk3guZ3SyekaMKDpAMwVusm/Ik0O743S8OMT7elRDWP1vzQ9WVw6SBS3kRWyRPUlDTBWxkjA1WeHKOpi5cJjLR6r8rg49hPckJjQ7vOBdNGBHq+1fQ2lTHcSO780n++jJDx96hl/F1s+GNqKI9P7MGdkMK09K0/uZBeWsvRgAn3m7aPTZ7v4ePM5opMMdP3oYW+pYnwnL1ZP6sL+t8J4q39zmrnc++fMw9cP8+iGR1l6ZqmOX1p5XKxc+Pahb1n08FeseLoPC8a3qdRvS13gQ2GytJzSvIYN2Gp9W27yxFJINZw0qRZHf4ArEvKB7Z8B3zCUCjmDg91Z93I3Nk3pzldjWrP/rTCmD2xRoa9RdFo0v8T8IooHOwVX7/y6D1HIZQwKdmPzK9355ZmODG39L/zOZ8KECRMmTJioMvU20+PgoH0o79Chg1HLW1tb0717d6ZMmcLSpUuJioq6a/xt4t9L//79iY6OZtq0abRo0QJra2vs7OwICQnhgw8+IDo6mnbt2t3rYdYNUrIT/wIPDAD/Bv6o5LqVoRmFGaTm119LaU5xDmkFaToxhUyBp205w+eGTbX65MMXQdh78NwuCBlbb2OkYVNwk9BErqMujCFDhki/EPEtqPUMFVXW0OVl0aJPd/UWxaKu3uJkolhSpLbYe+GGSBZILoOxHerHvLs2GNXekxZu4vP7i22x5BeLq+ln/3NeR18e4JrCk8ImYeKNH/quwn0/FfgULhLeL3OOzaFUo7fvyBWQo99RI4Pub1S4D2N5rLOXSBNerRGM6sLYcHmDKNbbqzfWKms+2HiW1GyxKeh7g1ri2bDuPFIUcoWk/vjaS2spLBVLWRnC0Lk5sWdT2jdpIIr/cfQqszbF8N7aaJ5aepSH5+8l6IPthHy0nYHf7Ofj/T+L1lEXuqDOr1onypejgnG0qXjSsF4xt4Exv0t3K+75FGI3Q6lxMjpVJi4cfugFqQa6CZuG3U6KixP4NcXOzI4+TfqI4hsur6NvSxd+e7YTO98I5ckuTbA2M77454vScexWtxbFPeVpLDL7GhUVd/qYKeQ82uMm2YI46T65zWQslGLfG4MIAlzcIV0d79EeQsYbtRlve29GBYwSxddcWENcVtU9pgzeN2uApZmCUe09705mj+/kZdTfzZgaEHOlnEFBbvz4RHuOvdeHT0cE0cG74X1R0X6r8BYzDszg+e3PG+xSkyFjXPNxrBu2jl6evbQxmYzBwe7smhrKE12aGPSZt7dU8X7YON5oK5YSA3jPqRHHLMxB0MA/7xr3hhpDxuXbHVl6OHhB3490QjKZjEAPe4a38ajUv6tYXczMiJloBN1nATO5GbO6zkJRSx1e9wsymYzQZk6ojCxMqYtz04QJEzXHdG6aMGGitqg3VzZfX1/S0tJqVLVnZla58Z2JB5/GjRsze/ZsZs+efa+HUr/8izswzBRmNGvQTGTcfTb9LK7Wleva1gZSGv+etp6oFHqSG0pzrbb/vaLVCG3XRXnOrtPqp9cyV65coUkTvQnM3DQ4tkS8cMfnJQ3M2zVpQJCHvagCdNnBBNp6iSdaawMp8+6wAGfcKzCAvN9QyGW8P7gF4388ohNPzS7i+71xvNG32d3YqcSbbIxKFm3juR4+WPi9Ar/t0X0hMQKST4F7G8l9Wyoteb3d67yz/x2d+KVbl1hzYQ1jm99O2qlLtbr++rQYUi0TYimszJQ8292HOf+c14n/dfIaU3r7GzT1zCzM5MC1A6L4EN8h/HM2hbWnxJ0sPZs5Ma5j3Se5RviNYOGphRRryibOs4qy2JawjeF+El1WEkiem2g/N3NHhzDg6/3k62nhLzkg7jADQFaEyl7cfVFyqzMVev/o8XQ3b3oF3IcSbY7+MOJ7WKl/3RbKYiorbbW+hT1YOJT73V7rSVH+/1LLlJ8YFAQ4/J3WVFowIFPV9RXo/T9Q1N1j9iN+j7A5brNOLCI5guu513GzccPP2YYPhwXyZr8A1p5K4vfDV7iQWlYIpJDLsFQpsFApsDST3/39F8X7BGS8jkep7nW2s/wcf3uv5XCL97EwV2KhlGNppsBSpf2xMFPg1dCMp3aMEY3Vv4E/Q5oaOYEhCHB5N4R/BteOSSwgg4GzQW58DdakkElsvLyR3JKy41cLauafmM+3D31r9HbA8LlZWwR62PPpiCCmD2zB+sgkfj+cyLnrxpt4g7Y5qZuvI8Nau9M/0BVbi3vjZ2EIQRDYGr+VL459QWahYQ8fPwc//tflf7R2FifVAOwsVHw0LJBH2jZm+t/RxNx+n+QyGN/Jizf6BtDQ2gxBeJLUghSWn9P1iCqRyXjV2YnfrqfgGxcOF/6BALFPVJXQqGHdS2LDedB2jNXguX7x6cVcuiVO7r/Y+kWaOoi7Gf9r1PW5acKEiephOjdNmDBRW9RbAmPEiBEcOnSI06fFkg4mTJjAgAdG5fIIDwqBjoGiBMaZjDP0biLWp64LErITRDFvO+962XeVaDlcXLmXclpb0ddIbHpcE06fPi1+oDz0rfiLt8oKukyW3IZMJuOprt5MXa2bdNkSfZ3pA1vgal+FilsjSL5VwG4p8+77QZO/inT1daRfKxf+OavbibR472XGdPDEw8ESQRD4ePM50bqONma82MsPzALAuaVYYuXQd/Dojwb3PdBnIH/E/kFUmu7fbWHkQgb4DMDe3B7OrIFbYp1ter5p/EEawRNdmvDDvjiyCsrMokvUAt+HX2bWcLF/DsDW+K2UCrrV4M5WzvjbtWHAz+LEhq2Fki8eDaoX6aMGFg3o79Nf1CGyMnal0QkMyXPzNk0aWTNjUEumr402alsq+yhkCt1uFEFjRkmWdIJLHzsLJaPae/LugNpJWtUJzQdBjzcNy0aV5Gt/RN1ERmJuV5bMQAapBt57pSUMW6CVWKtj2ru2x8PGg6TcsmSdgMC6y+t4MeTFuzFbCxVPdPHmiS7e5BaVohEELFWKiquaM9bBT72hQLeTLihlLUFtukInaSPulbErJbX5X2/7euXV4YKgNeve8ylcPWx4uTYTwKNqnbgNLRrybNCzfH1SVw4v/Go4x1KO0cHVuO5w/s/encdVUa9/AP+cjX1fZUdERFBUBMQNNdM0NbXS61KpZYtZ9svyatnevd6y1bppi7e0bNVSW0xFyyUp3EoF3AVRFARE9v2c3x8n0GGGfQ5ngM/79eKVfGfOd74YDwfnme/zoOHYlJOdpRYzBwRgRow//rpwDZ8npuOHI5dQXlV/b5dePg6Y1NcHE/p4w9NB3vdeuVwuuoyX/3gZezP21nuOTq3DAxEP4L5e94kfMpHQ188J3z8yGImpV5GWW4whwW4IcL3eCFqlUmFR1CJkFmdiZ/pOwWsLNWrM6+KBdZey4LF9qbFkqLYVD8wlvi/9/Rt9P9A1rsXTHs89jv8dEz9cEuYahtnhs1s8b0fSVrFJRM3D2CQiubRZCal77rkH9vb22LZtGzIzM9vqskTtRwfegQFI98FIymm7Rt4N9r9QEpeugJfE04b11ViXU3EusH+1eDzqXsDOvd6Xje/jJWpKXaU34PNEiZvfrfTNwQuiBrTejlbKfDK8CZ6+taeoMXN5lR7Lt54AAGw5lolD58XluBaO6gE7S63xUdvYeaLjSP4OKBDv2qihUqmwOFrcAPda+TVjbXi9Htgr0di7+2jpMmetYG+lw5zBgaLxrw9eQFaBdNklqfJR44PG44XvjyOnSFwy6LnxYW3aoHZaD3HpueTcZNl+5k2P8cPwHvXH5I10Tomiscr8voDeeIPTzc4SffyccGvvLpg7pCuenxCGD+7ujx8fHYLDz47CkedH49nxYcrvLzPiaaCbiRLi5QVA/gVjuaj6kheO/sB929skeQEAapUak4PFvTU2n9ksKjFTw85SCwcrXeMlWVy7AVPWAiqJpMPWJcYdEnUUVxZj1ZFVovEBXQZgiM+Qhq+X9huwZjzw6W0NJy9sPYw7W1rgrp53Se74fOPgG/X+fSmBSqVCP39nvD6lD/Y/fTOenxCGYA+72uO+ztZ4ZEQwdiyMw4+PDsXcoUGKTF5UVFfg46SPMXHzxAaTF5Eekdhw2wY81OehJiUvamg1agwOdsPMAQGC5EUNjVqDV4a+gj7u4vevy1ot5nu6o/jqWWPPlZbKOQ3sfEk87hxo7NnSQpX6SjyX8JyoP4hWpcVLg16CVt1mzyMSERERmY3s/xqdM2cO3nvvPSQmJqK8/PoTfx4eHnj11VdRWlqKefMkbrYQdXZlEjswOkgPDAAId5No5J3bdo28200CA5Bu+GqiPhgCf7wHVBYLx7RWxnIoDbDUajBjgPjJmi8S01FWKd2QsyWqqvX4+oC4TvY/ov2hUUA975YIcLXFnMHi78PNf11C4rlcvLJVvPsixNMOU6N8rw/0ngrY1Gnaq68yNhFtQG/33pJlXb468RXOHf4fkHNK/KK4RQ3O2VJzBnU1JmRuUFGlx4d7xDXqz+SdQUquuOGqQ9UA/HRU/IT9yFAP3NnfVzRuSr3ceiHMNUw0/uWJL2WZX6VSYfkdEejSyI1KS9sMaKzF5bSeH34vdj05HCdeHoODz9yMzfMHY+XM/nhmfBjmDO6KW8K7oJePI1xsLZTRsLsp1BrgjtXGxtltLXCosd+FV0SbXnZi8ESo6pQByyjKwP7M/a2fPGiYsVRTXYZqYP1sIEdYymZN8hrJckCPRz1e//fQ+d+BtROANeOA8+KdUwJefYB7tzaYTG+IldYKC/qJ38uSc5OxNXVri+Zsa442OswZ3BXxj8dhx8Jh2LEwDnv/OQJP3tIDwR7KfODFYDBgx/kdmLhpIt469BZKpUorAbDT2eHZ2GfxyZhPEORomnJIVlorvHvTuwhwEP+MOGFpgYUebqjc/QpQUn9Zq3rpq4FN8wCpXkcT3zP262mhT5I+wYmrJ0Tj90fcjx4uPVo8LxEREVF7ojLIfPdQrVbX/kNFq9UiLCwMUVFRiI6ORlRUFL744gu8+eabmDFjBj766CNYW7efmuXUedT9x3ab3GT/Yhpw6mfh2D/WGevNdwBV+ioM+nKQ6B+vP03+Cf4Opi//M2nTJJzNFzYW/WzsZ/XWVjarvDRghcRT7o8cAtyCZbtMVlYWPD3/buZcchV4OwKoqLMTaMA8YOwrjc51paAMg1/9BZXVwlh57c4ITImSp+/AjpQszP30oGBMrQISloyUvVRVWyooq8SI13Yht1i4c8DGQiPqcwAAa+ZEi3ec/LoM2P2qcMzKCViYAliIn0atkVWchQmbJojiMq5ai/fS6yQPAocCs39s/AtqoeVbT2DlLmGMWunU+G3xTYLG0W8degsfJwmbUoc49cS5I3ORV1IpGHe01iH+8Th4mOGJ5I2nN+K5hOcEYxZqC/x0+0+N9v4RxGZD5xWUYfXec7iUXwYPe0v4OFnDx8ka3n9/vHv039h4Rrh7q5drL3w5Xp5EiiIVXAK2P2vsn1CWb/yACd/DYx8GRr1s0n4XDXlox0PYl7FPMDa261gsj5Opj9iPC4GDEn2RXLsDc3cA1k7ILsnGuI3jRD9H6l3Hhf3Gn1nnfhUfq8uzNzDiKaDHrai3W3MT6Q16TPtxGo5fFSaGvW298f3k72GpsYTBYEB5dTmKK4tRUlWCksoSlFSVGD+vLMHl3MvQ2mhF4zXn1n2dvYU9wl3DEeEegb7ufRHiEgKdWlk9KUzleO5xLD+wHAezDjZ43s3+N+OpAU/Bw6ZtdlJeKLyAu7bcJZlwm1RYhJe63gHVAh5e4QAAIABJREFUuHrK0dVn3wog/jnx+ICHgLGviseb6EzeGUz9cSoq9cL3tmCnYHwz/ptm7VLp6Jr6vklEbYuxSaQsZrnXKROT/Gur5i+gsrISR48exdGjR/Hxx8abDRYWxqf5vvzySyQkJGDx4sWYMmUKXFzEzWGJOhXJHhgdZweGVq1FqEso/rzyp2A8OTfZ5AmMKn0VzheKyxkpsgcGYCw34N3P2Ij5RikbZX0C3tHxhh4rie+LkxcaC2Bww7svang4WGFcby9s+ktYtmhNQhru7O8ry1PcX+wXN+++KdSzXScvAGMj0oWjQ7B0o7C8kFTyYmh3N+lyWdFzjQ23q29IgpRdA458aTxWD09bT9zX6z7896//Csb3aKqwz9oKg0tveJrURLsvatw3pCs+2ZeG0ht27ZRV6rF6byqW/N1/oVpfjR/PiZMolfn9RMkLAHhpYrhZkhcAMKbrGLx+8HUUVFz/2V6hr8A9P9+DVTevQjen+nvaCGKzAZ4OVlg6TrzTAwAKKgrwc+rPovGpPaY2ae52y8EbuPOGG+56PVBRZIyHmoTGjR+lUuM3jEm9NwOAhR1w6+tA3+lt83XV4/bg20UJjJ3ndyK/PN/Yy6a1xr5q3I2VVqfsT+5pYMO9wIxvsPLISlHyQqvWinc8XDwE7FoGnNnR+HU9woDhTwGh45vVsLshapUaC6MW4v7t9wvGLxVfwqj1o1Clr0JJVYmoVE9rXC27ivMF57EldQsAwFJjiXDXcPRx74MI9wj0ce8Dd5uW7SpRqpzSHLz757vYeHojDA0kD92t3bF0wNI264VWw8/eD++NfA/3brtX9H27yd4OXmfW4+ErcwGPJvb9yT4J/PJv8bhLEDBSIqnRRNX6ajyX8JwoeaFRafCvwf9i8qKOpr5vElHbYmwSkVxkT2Ds3r0bhw8fxqFDh3D48GGcPHkS1dXX/yFQXl5eeyPr/PnzePjhhzF//nz07NkTkZGR6NevHyIjI9G3b184OHScm7dEjZJMYCizJEBLhbuGixIYSTlJGNt1rEmvm1GUgSq9sOGvi5ULnKycTHrdVgmfLE5gJG+W9SZyfHw8JkyYYLyB98f74hMi7zHeDGyi2YO7ihIYyZcKcCAtDzFdW5ekzrhWil0nxc27Z7bD5t1S/hHlh89+P48TmRK9cP6mVgFLx/WUPmjnYSwl9dc64fgfq4D+9zZ4A3BW+Cx8e/pbXC4Wll9a7uKMDRmXoQMA3+hWNSBtClc7S9wV64+P9grLvX32exoejAuCs60F9mfux5US4feBGhocOykuOTImvAtu69P071+5WWutMTl4MtamrBWMXy6+jLt/vhsrRqyot3lwbWy2wg9nf0BZtbCcib3OHmO6jmnVvO2OWm0sx9jSkoz6auP7842JDn0l4NUPsHWVd60tMMJvBJwtnZFXfr1XToW+AltSt2B6qAzJFY0OmPop8NFNQF6dUoxndyJlywJszEsQvWxaj2nwtf+7dNulP4Ff/wOc3tb49dxDgeFLgJ4TZUtc3CjWKxZDfYaK+jDc+PdnSuXV5Th85TAOXzlcO+Zt612bzIhwj0BPl57t8uZ0eXU51qWsw0fHPkJx3XKUN1Cr1JgSMgWPRT4Gewvz/J7by60XXot7DQt+WQA9hD1QVjk5wGvrI5h8TxMSbdVVxtJR1eV1DqiAiSsb3AHZmM9SPsOxHHHPndnhsyXLsnZ2crxvEpH8GJtEJBfZ/2UwdOhQPPbYY/j000+RlJSEgoIC7Nu3D++88w5mz56N3r17Q6PRwGAw1H7o9XqkpKRg3bp1eOKJJzBixAg4OzsjODgYU6dOxX/+8x9s27YNV66Ib14RdRiSPTA61hMLvdx6icaSc5NNft20/DTRmGJ3X9QImygeyzpmbBIpt/0fAuX5wjG1Dhj8f82apq+fE/r6iZNCaxLE/Uea6+v96aLm3T5O1ogL6RhPrmo1ajw7XvpJ+hr/iPZDaJcGbsIOfFg8lnsGOBPf4LxWWiss7L9QNH7OQof19n/X7Y5b1OryLU1x/9AgWGiFv5oUV1Tjk4Q0AMab8nXpi3vAUC2sL+5ia4F/Te5l9v4Ns8JnwclSHBOFFYV4MP5ByR0ScjAYDPjm5Dei8duCb4O1lqU7m0WtAaydAZeugHdfY2+I4JsVkbwAAJ1Gh3FB40TjG09vlDi7hWxcgOlfAXVuNu+0scacnN2iHQv2Ons8GPEgcPko8OUM4MPhjScvXLsDd/wPmJdgTOCbIHlRY2H/hVCrlNOU/lLxJWxN24pXD7yKmVtmIvaLWNy95W68duA1bE/bjsziTHMvsUEGgwHx5+MxcdNEvH347QaTF7FesVg/YT2eiX3GbMmLGsP8hmFp7FLJYy/qM7Fv/7uNT5LwDpBxSDwe+zAQMLDFa0vLTxPtjASMv7vO68tekkRERNT5mLxgr7W1NQYOHIiBA6//EldeXo4jR44IdmokJSWhslK4RTY1NRWpqan49ttvARhrdVVVCZ+iJuowyiWevO6AOzDqSslNQbW+Ghq1xmTXbVcNvGs4BwLekcClw8Lx5E3AMBlL+ZQVAL+/Jx7vNxNwan7vijmDA/HYV38JxrYlZyHjWil8nFp247SqWo+vD4qbd0+L9mu3zbulDA52w809PbHjeJbomK2FBo+PCml4As9woOswIHW3cPz3/wIhtzT40lsCb8EXJ74Q7ZBa6eyIcbYBcOw+uklfQ2t5OFhherQf1v4uLPn2yb5UTI/1wI508ROxpXn9RGP/mtRL0DfDXNxt3LFy5Eo88ssjonrrlfpK/HPPP5FZnInZ4bNlTbYcyjqEc/niBuhTQqbIdg1Sjtu73451x4W7r45fPY4TV08g1KWJZXAa4xEK3Pkx8MVU6GHASidHfOAs/ZDFfV3Hw2nzI8BxccJRxCUIGLYE6H2nMVnUBoKdgzE5eDK+Pf1tm1yvuSr0Ffgr+y/8lX39vdTTxlNQdirMNQwWGgszrtLoeO5xvHrgVRzKkriJf4MAhwA8GfUkhvkOM3ti+UZTe0zF5YILWJ2yRjBerVJhYcqHWNN1OHq695Z+8ZXjwK7/iMddg4GbnmnxmvQGPZ5PeB7ldXZ1qKDCy4NfhqXG/O9tRERERG3NLB0HLS0tERMTg5iYmNqxyspKHDt2rDahcejQIRw7dgzl5XW35BJ1QAZDh++BAQD+Dv6w19mjsPJ6sqa0qhSp+akIdpavOXVdqQXtMIEB/F1Gqk4CI0W+BIa/vz9wYLWx3vuN1FpgiPiJ/KYY28sL/7Y/jiuF1392V+sN+Oz387V9DJpr54kryCoQvhdo1CpMjZanObiSPH1rKHadvIKqOttNHhrWDR72TejlMHC+OIGRugfIPAZ0qecmDIwPCCz2G4dpdRIY+RoNVgWEY0kb3nB6cFg3fLE/XdAQvrCsCst2fSOqV26otkJVkbCs1oQ+3ri1t1ebrLUperv3xrqx6zBv5zycLxD34nnz0Ju4VHQJS2KW1CZy/f1bVxrtm1Pi3RdRnlEN9t2g9qu7c3f0dustKjfz3env8PSAp+W7UMhoFN70DJ5Kfh+7baQT0gEqS8zcvtz4e01DnAOBYYuNpe/M0AD9n9H/xOXiy0i4JC5/pVPrYKuzhY3WBjY644et1hY2OhuUF5bDx8NHMCY4V/v35zobWGoscb7gPI5kH8GR7CM4mn0U18qvSaymcVklWdh+fju2n99eu8aerj0R0yUGMV1i0Nejb5vursopzcE7h9/BpjObGuxzYa+zx0N9HsL00OmKLYu1IGohLmcexk9XjwrGS1TAw9vm4vNJG+FtV6ccYXUlsPEhYd8pANdLR9m0eD1fnfhKUGKsxsyeM9HXo2+L5+3oWvu+SUSmwdgkIrmYJYEhRafTITIyEpGRkbVj1dXVSEpKEuzUIOqQqsqAOj0aoNYB2o71lJVapUaYaxgSMxMF48m5yaZNYLTHHRiAsYxU/LPCsawkIPsU4N7I0/hN0Ce0G7BissSBaYBzQIvmtNCqcXdsAN6IPyUY/+pAOh4b2R3WFs1/wvaLRHHz7pt7esDTTM2ZTSnI3Q4PxAVh5a6ztWOBrjaYO1Tc40FS8ChjKZbcOqXG/lgFTFrZ4EvDj2zAxMIibLYXlmP6KvsApl47hyCnJq6hlbydrHFnfz98Wadp++6Mn4E69+cqC/oAhuu/yrjZWeKl25RXG9zPwQ+fjf0Mj/7yKI5kHxEd/+rkV8gqycKrca/CWmuNPn36tPhauaW5iD8vLhvW4Zt3d3KTgieJEhg/nfsJT0Q9IdsT2+fyz+Gx3N1Iqyd50bWiEu9lXYJVQ8kLJ38g7p/G9xkz3tC20dngg1EfIKc0B9fKrtUmHWy0NrLeaO9i2wUDvAYAMJZaSi9Mx9Hso7UJjVN5p1rUNLxSX4mj2UdxNPsoVh9bDZ1ahz7ufRDjFYMBXQagt1tvkyQMyqvL8VnKZ/jo6EcoqSqp97yaPhfz+86Hs5Wz7OuQk0qlwstjP0HOukFIVAkflsipLsG87Q/g03Gfw9Hyhh1H+94GLv8FkUGPAP4DWryWi4UX8fbht0Xjvna+eLTfoy2etzNozfsmEZkOY5OI5KKcArASNBoN+vTpgzlz5uC///0vEhLET0kRdQiS/S8c2qTmfFuTajyYlJNk0mtKJjAc2kECwzkA8OkvHk/ZJMv059Y/A5TkCgdVGmDoE62ad/oAf1hohG8v10oqsemvjGbPdeFqCfaczhaNzxjQsgRLe/Dk6B74v5u7I9zbAeMivPD5/bFNT/yo1UCsRH3sY+uBQnFpqlqX/gJOb8eCvHxY64UNTasN1Vh+cHkzvoLWmzesm6A8mEp7DXqrs6LzKvMjBZ//5/becLY1f1kVKc5Wzlg9ejVG+o+UPP7rhV8xd/tcXC27ij179rT4OpvObEJVnYS4i5VLvdeljmFs17Gw0giTugUVBfgl/RdZ5t91YRdm/DQDaQVpkseHF5fgi0uZ8Kuv1KuDLzD+beCRQ0Dk3WZNXtzIzdoNwc7B8LLzgqOlY6M3/VsTmyqVCgEOAZjQbQKeiX0G30z4BgnTE/DxLR/jscjHMNxvOFysXFo0d6W+EgezDmLlXysxa+ssDP5qMB6KfwgfJ32M5JxkVOubnyS5kcFgwPa07Zi4aSJWHF7RYPJioNdAbJiwAc/EPqP45EUNndYCb41YgeCKujsqgHOF5/HYr4+homa3RWYSsOtV8SRuIcAI6Z4aTWEwGPDC7y+IdhoCwEuDX4KNruW7OjqD1sQmEZkOY5OI5KLoBAZRp9EJ+l/UkGrknZKbYrLr5ZXliUo26NQ6cTkApQqX2CGRLEMCo6IEPmkS9b8jphprkreCm50lJvQR//2u2ZcGQ2NlRer4+sAFUSUSPxdrDA12a80SFU2tVuH/bg7BTwuG4r0Zkc3vHdJnurHp8I2qK4zlwuqz9w0AgEd1Ne6/Jk6o7svYh70X9zZvHa3g72qDSX19jJ+oy2Dl8yVUKuE3gr7CFfrS69vSb4/0wagwzzZbY0tYaa3wxrA3MCN0huTxo9lHcfeWu3Huqrh/RVPoDXqsP7VeND4peJIi6uWT6dhb2GN0oLhXzXenv2vVvHqDHu8feR+P/vJovc2ZH867hhVXcmAn9fPd3hsY9waw4DAQNQfQtu/vw/z8fFnns9HZILpLNOb2not3b3oXu6buwpbbt+CVoa9geuh0hLmGQatq/ob50qpS7Lu0D28degvTfpqGoV8NxYJfFuDz45/jdN7pZr0Xp+SmYPbW2Xhi9xPIKKr/QYRAh0C8N/I9fDDqA3R37t7sNZubfcBgrHIdAg+JJNyhrENY+ttS6KvKgU3zAL2wbyNUamDSKkDX8jJe357+FomXE0Xj/+jxD0R3iW7xvJ2F3LFJRPJgbBKRXBRTQoqoUyuXeGPvYP0vakg18j5x9QQqqytNUu5A6mnRAIcAkzYNl1XYRGB7nWaQV5KB7JOAe4+Wz3toDSyr6tyoVqlbvfuixpzBgfj28EXB2MmsQvx+LheDujUt+VBZb/Nuf6g7UPNu2VnYAP3nAL+9KRw/+D9g6ELxDZYrJ4Dj39d+ek9BATbY2+GSTvgrwmsHX0Osdyx06rZ5cnr+iG7YeOQUrPw+gcZa/H1g3H1h/D7wdLDE8+OVVzpKikatwZKYJfC288brB18XHU8vTMcq1SpEZkciwj2iWXP/ful30Q1GFVS4M+TOVq2Z2odJwZPw/dnvBWOJlxORUZQBHzufZs9XXFmMp/c+jV8uSO/isNFY4T9ZV3BTocQuUrsuxp83kbMAXccr92cqKpUKfvZ+8LP3w7igcQCMyYiU3JTa0lNHso8gpzSnWfMWVhbi1wu/4tcLvwIw7sqK6RJTW3LKz95P1Fw7uyQb7/z5Djaf2dxwnwsLe8zrMw/TekxTbJ+Lpuoy6t9YuSoas9wdUKwWPue3NW0rrLJPY0TBafhY6OBVVQWHmn5VgxYAvlEtvm5mcabk+4GXrRce7/94i+clIiIi6iiYwCBSAskdGB0zgeFl6wUXKxdcLbtaO1ahr8Dpa6cR5hom+/Xabf+LGk7+gE8UkHFQOJ68CRi+uGVzVpYa6zfX1esOwE2epyZ7+TgiOtAZB9LyBOOf7EtrcgJj5/EsZBcK61Fr1SpMifKVZY0dWsz9QMI7wt46JbnA0W+A/rOE59ZJdFgagIWlKjxZ5z5Uan4qvj7xNe4Ku8tEixZysa+CZ4+1KDKIkxeGaktUXrv+ROqrd0TA0ab93DhTqVSYFT4LnjaeePq3p1FZ52neEkMJ7tt2H16NexU3+d/U5Hm/OSlu3j3IZxD87Dtew3sSi/KMgr+9P9ILr/ePMcCAzWc24+G+DzdrrvMF5/HYL4/hbL64dBtgfBBgxYgV6HY5Bdhw7/VmxrYewJDHjbstWvE0ulJZWbV9MsZaa43+nv3R39NYUtJgMCCjKAMHMg8gMTMR+y/vR3apuNRiQ66WXcXWtK3YmrYVgLFXR0yXGAzwGoB+7v2w7fy2RvtcaFQaTAmZgof7PtxuSkU1yr4LesQ+hrcTlmNeFw9U1UnqbCo+i02e7tdPr9bDGxp4q3Phs/9VeNt5w9vW2/hfO284WDiIEkN1GQwGvPT7S5I7nJ4f+DxsdbbyfG0dnDlik4gax9gkIrnInsD49NNPAQDR0dHo2bOn3NPXOn78OA4cOAAAuOeee0x2HaI2UV8PjA5IpVIhzDUMv2X8JhhPzk1uswRGoEOg7NcxqfDJ4gRGSisSGIc/A4rq9kNQAUOfbNl89ZgzuKsogbHjeBYuXC2Bn0vjtZw/l2jePTrcEx72/EW4UQ7exoTU0a+F43+sAiLvud5f5+o5Y3+MOkZHPYLIa4k4fOWwYHzlkZUYHzQeTlZOplo5ACCnNAcPxD+AIsN50TGDXoPSS9NgqDL+jJwW7YfhPTxMuh5TGdN1DNys3bDg1wUorBAmssuqy/D4rsexJGYJpodOb3SuzOJM7Lq4SzQ+NYTNuzsLlUqFyd0nY8XhFYLxTWc24cGIB5u883Dvxb1YvGcxCislHq4AEOcbh/8M/Q8cLBwAp27AA7uAU1uNfS56TjDuAuugRo0aZe4lQKVSwdfeF772vpjcfTIMBgNSC1Kx//J+7M80fuRL7extQGZxJr4/+71oB099BnkPwqKoRQh2Dm7Jl6BsA+cj9tBavJiTi6Xurg2eWqhR4yQMOHlxt+RxO51dbTLDx84HXrZe8LHzqf3cwcIBP577EXszxCUaJwVPwmCfwbJ8SZ2BEmKTiMQYm0QkF9kTGLNnz4ZKpcJrr71m0gTGli1bsGjRIqjVaiYwqP3rRD0wAGMfDFECIycZU0KmyH6tdr8DA/i7jFSdxpBXUoylfzxCmzdXVTnw21vi8fBJzZ+rEaPDPOHlaIXL+WW1YwYDsDYhDc+MbzhZlZ5bgr2nxSUyZsR03Obdsot9WJzAyD4OnP0FCP67ofNvbwMGYdNu2LhB1X82FhcOx7QfpwlKhxRWFOK9v97D0tiWNyptzJWSK5i7fa5k7Br0WpRevBvVxcbyaT5O1lg6znS/a7SFqC5RWDd2HebtmIdLxZcEx/QGPZYlLkNmcSYei3wMalX9rcu+O/0d9HX+X3raeCLON84k6yZlmhA0Ae/++a7ge+Fy8WUkZiZikPegBl9rMBjwv6T/4Z3D79RbMuj+3vfjkX6PCL8XPcONH53AyZMn0aNHK8o3moBKpUKQYxCCHIMwLXQa9AY9TuWdQuLlROzP3I+DmQcb3EnRHIEOgVgUvQhDfYY2urOg3dJZA6NexG0b5iBTo8G7Li1P2BdVFuFU3imcyjsledxWZ4vK6krRuLu1O56Mkvehko5OibFJRIxNIpJPu2/i3dyGsESKVC6xA6ODlpACpPtgJOcmm+RaUjdBgxxb16S6zTn5Ab4SDRxTWtDM+891QOEl8XjcoubP1QitRo27B4oTDl8fvIDicnGTzBt9eUC8+yLA1QaDujX8NCTdwLsvECDx9Obv7xn/m38R+OsL8fGB8wELG4S5hmFS8CTR4fWn1uNM3hmZF2t0uegyZm+dXU/yQofSC7NrkxcAsPzOCNhbtZ/SUfUJcgrCulvXoaeLdDLm46SPsWTvElTUlOmpo0pfhW9PfSsavyPkDmjVrBbamXjaemKIzxDR+MbTGxt8XUllCZ7Y/QRWHF4hmbyw1lrjzeFvYkHkggYTaR3dqVPSN6KVRK1SI9QlFLPCZ+G9ke/ht+m/Yd2t67Cg3wIM8BoAS41ls+e0t7DH4ujF+G7id4jzjeu4yYsa4ZMBv1jcn1+AmfnSO5HkUFxZjAq9+Of6s7HPwtHS0WTX7YjaQ2wSdUaMTSKSS+f9FwiRknTCHRh1nc47jbKqMomzW66iugIXiy6KxgMdA2W9TpsInyweS25mAqOqQnr3Reh4kz09Oz3aH5Za4VtNYVkVvvszo55XABVVeqyXaN49PYbNu5stVqLu/dmdxt07Ce8CdXovwMoRiJ5b++mCyAWw0QrLwVQbqvHawddkf4DgYuFFzNk2BxcKxf/v1QYrlKbfh+qS6+VK7o4NwODgpvVTaQ/cbdyxZsyaekuG/Jz6Mx7a8RAKKsQJ790XduNK6RXBmEalwe3Bt5tkraRsk4PF7xc703fiWtk1yfMvFF7AXT/fhfjz8ZLHfe188fmtn2NUAMtAtEc6tQ593Pvg/oj7sXr0auybvg8f3/IxHox4EP08+kGrqj/JqVFpMD10OrZM3oK7wu6CTt3+E8ZNolIBY5ZBBWDJ1Tx8fDkL8/Ou4fbCIsSWlsK/sgpaVdNKsjXXrV1vxQj/ESaZm4iIiKi9MtljeV9//TWSkpJMNT2Sk03ztDaRWZRJ1CruoD0wAMDN2g2eNp7IKrneh6HaUI2TeSfRx72PbNdJL0gXlVTxsPZonw0RwyYC254WjmUfB64cBzyaWELnyJdAvvjmMIb9s/Xrq4ezrQUm9/PBVweE112zLxUz60lIxKdkIadI+ESiTqPCnf3ZvLvZeowFnAOBvDTh+C8vA2d2iM8f8JDgZ4+btRvuj7hfVFM/4VIC9lzcg2F+w2RZZlp+GuZunyv4mVDDXmePZ6PfwpLz+ciHMeHS28cRS8bKW/JMCWx0Nnj3pnfxwDcP4GD5QdHxA5kHcM+We7Dq5lXwsvOqHf/mlLh593C/4fC09TTpekmZhvkOg4uVC66WXa0dq9RX4qfUnzCz50zBuQmXErBo9yLJxBhg7HWwPG45nwbvQCw1lojuEo3oLsadncWVxTicdRj7M/cj8XIiTlw9AQAY6jsUC/svRDenbuZcrvn49Af6TAeOfInosnJEl5VfPxb3T+hHPIXskmxcKr6ES0XGj4yiDOOf/x6rrPuQQCNcrFywJGaJzF8IERERUftnsgTGwYMHcfCg+B/fRCShk+3AAIxlpOrerEzKSZI1gZFWkCYaa3f9L2o4+gK+McDF/cLx5E1NS2BUVwJ73xCPh4wFvOT7O5cye3CgKIFxNrsYv53JQVyIu+j8L/aLGzePDu8CN7vml73o9NQa4y6Mn+skqU78KD7Xws6YwKjj7rC7seHUBmQUCXfNvH7wdQzyHgSdpnVP5J69dhZzt89FTqm454mjpSM+HPUhwlzD0OvREvx07DIcrXWY2NcbNhYdszSSTq3DW2Pewpfnv8TKv1aKjp/NP4uZW2Zi5c0rEeoSigsFF5BwKUF0Hpt3d146jQ4TgiZgbcpawfjG0xsxI3QGVCoVDAYD1iavxVuH3xIl+mvc2+teLOi3oMnNvzuDuLiO11PGVmeLob5DMdR3KABjObEqQ5WxSXtnN/I5IOV7oLL4+phnLyBuEdQqNTxtPeFp64l+Hv1EL9Ub9MgtzRUlNWoSHZeLL6O8+npSxN7CHm8OfxPOVs5t8ZV1OB0xNok6AsYmEcnFJP/6Z18KomaS7IHRsZ927OXWC79c+EUwlpwj784qqTr67bJ8VI3wyeIERsomYMRTjb/22HrgmjgxgGHy976oK7SLAwYGueL3c7mC8U/2pYoSGGk5xdh3RngeAMyM8TfpGju0vjOBX/4NlEvs9LpR1L2AjYto2FJjiSejnsTjux4XjKcVpOHLE1/invB7Wry0k1dP4oH4BwRPitdwsXLBh6M+RA8XY88LPxcbPDSsczwJrFKpMK/PPHjZeuHFhBdRZRD2jMkuzcasn2fhreFv4Y/MP0Sv97P3Q6x3bFstlxRocvfJogTGybyTSLmagiDHIDyf8Dx+Tv1Z8rVWGiu8NPgljO06ti2WSgpjo7Np/KTOwsEbmLoW2HCv8Xd1txBg2ueA1qLRl6pVarjbuMPdxh19PfqKjhsMBuSW5dbu1Ah2CuZOJyIiIqJ6yJ7A+PXXX+Wekqjj66Q7MOqSu5G3VAKj3e7AAP4uI1UnWZF9ovEyUtVVwJ7XRcNZDn3g6dNf5kVKmzM4UJTA+PVkNlI1dvn7AAAgAElEQVRzitHV7XpJL6nm3V3dbDGQzbtbztIO6H+PsedFfbRWwMBH6j080n8kojyjcDBLuLPy/SPvY3y38XCxEic+GpOcm4wH4x9EvkRixd3aHatHr0aQU1Cz5+0I9uzZgwkTJmBS8CR4WHtg4e6FKL7xCWAAJVUlmL9zPiw04htpU0KmdOpGywR0c+qGCPcIHM0+KhhffXQ1LhZdrC0TVJePnQ9WjFhRmzgkoZrYpE6k+yhg0Vmg8BLgFGDsjyEDlUoFN2s3uFl3nF5O5sTYJFImxiYRyUX2BMawYfLUwybqVMokdmB04B4YABDuJk5gpOanoriyWLYeFR0ugeHoA/gNAC4kCseTNzacwEj+Drh6VjR82msS2qpC/sienvB1tsbFvFLB+NqENLxwm/F7oaJKjw0HxU3Xp8f4QSXTDYNOK+ZB4PeVgKFa+njkPYB9/d8NKpUKi2MWY+oPU2HA9V2WhZWFWPnXSjwT+0yzlnMk+wjmxc9DYaU4eetp44n/3fI/BDgENGvOjmqQzyCsGbMGD+94GNml2YJjVYYqVFUJd2fo1DpMDJ7Ylkskhbo9+HZRAmNHukTvm78N6DIArw17jSVsiOrSWhj7SRERERGRWfDxPCIl6IQ7MBwtHeFn7ycYM8CAlNwUWeY3GAxILRAnMIIc2/kT3eGTxWPJm4D6Svfpq4E9r4nHg0Ygz667vGtrgEatwqyBgaLx9QcvoLDM2ORyW3ImcouFzbstNGrc2d9P9DpqJic/IOw26WNqHTBoQaNThLqE4vbut4vG159aj1N5p5q8lENZh/DA9gckkxc+dj5YM2YNkxd1hLqE4vNbP0ewU3Cj544OHN2iHTHU8dwSeAustdZNOveesHvw/qj3mbwgIiIiIiLFYQKDSAkke2B07B0YQD1lpGTqg5Fdmi0quWKttYaHjYcs85tNmMST1TknjWWkpKRsAnIkbi4PW4yQkBB519aIqdF+sNYJm8EWV1RjwyHjrosvEsXlo8b06gIX28ZrTVMT1Fciqs80Y4KjCR7p94hoh5TeoMfyA8ub1P/qj8t/YN6OeSipKhEd87f3x5oxa+Br79uktXRkUrHpZeeFtWPXIrpLdIOvZfNuqmFnYYfRAaMbPMdSY4llQ5ZhUfQiaNUmaY3XobT1+yYRNQ1jk0iZGJtEJBcmMIiUoBPuwACMjbzrkqsPRlp+mmgs0CGw/deFd/AG/CSa8yZvFI/p9cBuid0XgUOBgIHo0aNta5w7WutwR38f0fjahDScuVIk6pEBADMGsHm3bHyjjCXIbqRSA0Melz5fgpu1Gx6MeFA0nng5Ebsu7GrwtXsv7sX8HfNRWlUqOhbkGIQ1Y9agi22XJq+lI6svNh0sHPD+ze/X21w52CkY/Tz6mXJp1M5I7Zqq0cW2C9aOXYsJ3Vibuqna+n2TiJqGsUmkTIxNIpJLO7+TR9QB6PX1JDA6/g6MMNcw0VhSTpIsc0v1vwh0DJRlbrOTKiOVIlFG6sQPQLbEzoxhiwEA8fHxJlhcw2YPChSNpeWW4P++/lM03s3dFgO6shSOrCatAmxuaIg+7g3AtVuzppjZc6ao/BsAvH7wdVRUV0i8Avgl/Rc89utjqNCLj3d37o6Pb/kY7jbuzVpHR9ZQbFpoLPDK0Fdwb697Rcdmhc9ivxgS6OfRT7L3U5RnFL4a95XkTkiqnzneN4mocYxNImVibBKRXJjAIDK3iiIAdW4862wATccv5RDmGgYVhDfbLhZdxLWya62eW6r/Rbtu4H2jsNuAOn9vyDkFXLmhf4heD+xeLn6t/yAgcAgAoKyszHRrrEewhz2GdncTjSdliMuoTY/x581Yubl2Ax5PBu75Hlh4AogS3wRvjIXGAk9EPSEaTy9Mx5cnvhSNb0vbhid2PYFKfaXoWE+Xnvh49MdwtXYVHevMGotNtUqNx/s/jmVDlsHHzgdOlk54IOIBTOzG5t0kpFKp8MyAZ2ClsaodmxE6Ax+O/pBx1wLmeN8kosYxNomUibFJRHLp+HdIiZSuk/a/AABbnS26OnbFufxzgvGU3BQM8hnUqrmldmB0mASGgzfgHwuk/y4cT94IeP79NO2pn4Esid0swxYBZk4KzBkciL2ncxo8x0Krxp392QvBJHTWQNCwVk1xk99NGNBlABIzEwXj7x95H+ODxtfeGP3h7A94Zt8z0Bv0ojki3CKwatQqOFh0jp93pjCh2wSW/6FGxXjF4MfJP+JozlF0c+yGIKcgcy+JiIiIiIioybgDg8jcpMpHWXWeG3pSfTCScltfRkoygeHQQRIYgHQZqeS/y0gZDMDuV8XHfaOBoBG1nzo6OppwgfUbHuKBQFebBs8Z19sLTjZs3q1UKpUKi6IXiXrKFFUW4b9//RcAsPH0Riz9balk8iLSIxIfjv6QyYt6mCs2qePytPXEqIBRTF60EmOTSJkYm0TKxNgkIrkwgUFkbmVSOzA6fgPvGlL1t5NzWtfIu6SyBJeLLwvGVFAhwCGgVfMqSk+JMlK5p4GsZOB0PHD5iPg1wxYLdl/ExcWZdo31UKtVmCXRC+NGbN6tfD1ceuCO7neIxr87/R1eP/A6nkt4Doa65fEADOgyAKtuXgVbnW1bLLNdMldsElHDGJtEysTYJFImxiYRyYUJDCJz66QNvGuEu4kTGK3dgZFemC4a87bzhpXWSuLsdsrBC/AfKB5P3ii9+8K7HxB8s2DoyBGJJEcbubO/L+wspasYBnvYISrAuY1XRC0xv+982OnsBGN6gx5rU9ZKnj/YZzD+O/K/sNE1vAOnszNnbBJR/RibRMrE2CRSJsYmEcmFCQwicyvPF491oh0YPZx7QKsS3si+UnIF2SXZLZ5TqnxUoGNgi+dTLKkyUonvAxkHxeN1dl8AQHq6ONHTVuytdPX2uJjB5t3thqu1Kx7q81CTzh3uOxzvjHinYyUSTcScsUlE9WNsEikTY5NImRibRCQXJjCIzK2T98Cw0loh2DlYNJ6c2/IyUh2+/0WNMIkyUhVF4vO69AZCxrTJkppj1qBAUT9xS60ad0SyeXd7MiN0BvztGy75NSpgFN4c/iYsNOxrQkRERERERERNxwQGkblJ9sDoPAkMQLoPRlJOy8tISSYwHDtgAsO+CxAwuPHzJHZfKEFXN1vMGhgoGFswsjscbXTmWRC1iE6jw5NRT9Z7/Naut2J53HLoNPz/SkRERERERETNwwQGkbl18h4YANDLrZdoTPYdGB0xgQEA4ZMaPu4RDvQYJ3lo1KhRJlhQ8zwzridentQLd0T64vUpffDw8G7mXhK1wHC/4Yj1ihWNTwqehGVDlkGrlu53QtKUEJtEJMbYJFImxiaRMjE2iUguiklgzJs3Dz169MDAgQMxa9YsfPrpp7h8+XKDr7l06RJOnjzZRiskMpFyqR0YnacHBiC9AyM5JxkGg6HZc+kNeqQVpInGO2wCo6dEGakbDVsEqKV/1OfnS/RfaWNajRp3xwbgjal9cGd/X/a+aKdUKhX+PeTfCHYyloPTqrWY02sOXhz0IjRqjZlX1/4oITaJSIyxSaRMjE0iZWJsEpFcFJHAyMjIwAcffAAvLy9UV1djw4YNmD17Nvz9/TFu3Dj88MMPkq/LyclBTEwMDh061MYrJpJRJ++BAQDBzsGwUAtr4+eV5+FyccNJTCmXiy+jvLpcMGavs4erlWur1qhY9p5A4BDpY+6hQM+J9b50//79JloUdUYeNh74avxX+Pa2b7Fl8hYs7L8QapUifs1odxibRMrE2CRSJsYmkTIxNolILoq4s+Dt7Q1HR0cEBARgw4YNKCgowB9//IHnn38eFy5cwMSJExEREYFNmzYJXhcREYEXX3wR9913n5lWTiSDMomnEjrZDgydWodQl1DReEv6YKTlp4nGujp27dhP9ofVk6SIq3/3BZEpWGosEeIcAi87L3MvhYiIiIiIiIg6AEXc2VKpVFi1ahW++uordOvWDTfffDN2796N0aNH4/Dhw0hMTERERASmTJmCwYMH48iRI7WvnTJlCo4dO4aqqiozfgVErcAeGACAcDeJRt65zU9gSPW/CHQMbMmS2o+wiYBGuIMFrsFA+GTzrIeIiIiIiIiIiEgGiumqOW3aNERHR+Pdd9/F+vXrsXv3bqhUKlhYWCA8PBxhYWG46667sHnzZkRFRWHevHnw9PTERx99hN69e0OrVcyXQtQ8kj0wOl8CQ6qRd0pOSrPn6VQNvGvYeQCjXgK2LjF+bmEP3P4h0EjvgYiIiDZYHBE1F2OTSJkYm0TKxNgkUibGJhHJRWVoSZfcNnDw4EHEx8dj9+7dSExMlGz+o1Kp4O/vj23btiEkJMQMq6SOqm65IZOGybv9gdwzwrH5+wH3Hqa7pgKdvXYWkzZPEozZ6eywb/q+ZtXRv3fbvTiQeUAw9vaItzHSf6Qs61S0nDPAlWTAL9bYG4OIiIiIiIiIiDq9Nr3XKTNFlJCSEhUVhaeeegpbt25FXl4eUlNTER8fj2+++Qbr16/Hli1bcPPNNyM9PR3ffvutuZdL1HJlUjswOlcPDAAIdAiEjdZGMFZUWYT0gvRmzdMpd2DUcAs2lpNqYvLihx9+MPGCiKglGJtEysTYJFImxiaRMjE2iUgubVJ36fz588jJyYGDgwN8fX1hbW3d7DkCAgIQEBAgGBszZgw++OAD/lCk9o09MAAAGrUGPV174lDWIcF4Um5Sk3tYFFYUIqc0RzivSgM/Oz+5lklERERERERERERtxKQ7MN577z34+/sjKCgIMTExCA0NhbOzM0aPHo0dO3bIco0HH3wQ69atk2UuojZXXQlUlQrHVGrAwtY86zGzXq7iPhjJOclNfn1afppozM/eDzqNrjXLIiIiIiIiIiIiIjMwWQJj4cKFWLBgAS5evAiDwVD7UVFRgZ07d+KWW27Bww8/LMu1nJycZJmHqM1J7r6wB+rUpesswt3CRWPJuU1PYKQWiMtHNXX3Rmfk6ck+GURKxNgkUibGJpEyMTaJlImxSURyMUkC448//sDbb78NQNwgBEBtMuODDz7AokWLTLEEovahTNycvjOWj6ohtQPjeO5xVOmrmvT6Tt3/ogViYmLMvQQiksDYJFImxiaRMjE2iZSJsUlEcjFJAuOjjz6q/bOXlxc+/fRTnDhxAqdOncJ3332HCRMmADAmMt566y0cOHDAFMsgUj72vxDwtfeFg4Xw6y+rLsO5/HNNer1kAsOBCYz67N+/39xLICIJjE0iZWJsEikTY5NImRibRCQXkyQwEhISAACWlpb47bffcNdddyEkJATBwcGYNGkSNm/ejBUrVgAwJjFqdmsQdTrlBeIxS/u2X4dCqFQqhLtKlJFqYh8M7sBonqysLHMvgYgkMDaJlImxSaRMjE0iZWJsEpFcTJLAyMjIgEqlwuTJkxEYGCh5zqOPPooJEybAYDBg48aNqKpqWokYog5FageGVefdgQEAvdwkGnk3oQ9Glb4K6YXponEmMIiIiIiIiIiIiNonkyQwioqKAAA9evRo8LyHHnoIAFBeXo4jR46YYilEylbGHRh1Se3ASMpJavR1GUUZol4ZLlYucLR0lG1tRERERERERERE1HZMksCoYWdn1+Dx6Ojo2j+fOXPGlEshUibJElKdewdGuJs4gXEy7yQqqisafJ1U+ahAh0C5ltUh1fQjIiJlYWwSKRNjk0iZGJtEysTYJCK5mDSB0RgXF5faP+fl5ZlxJURmwh4YIp42nnCzdhOMVemrcDrvdIOvY/+L5jt//ry5l0BEEhibRMrE2CRSJsYmkTIxNolILmZNYKjV1y9fWlpqxpUQmQl7YIjU18i7sTJSTGA039GjR829BCKSwNgkUibGJpEyMTaJlImxSURyMWkCQ6/XN/lcg8FgwpUQKZRkD4zOncAApMtINdbImwkMIiIiIiIiIiKijkVrysmXLFmC1atXIzIyEv3790dkZCQiIyPh6MimukQApHdgMIEhvQMjt/4dGAaDAefyz4nGmcAgIiIiIiIiIiJqv0yawDAYDDh9+jROnz6Nr7/+una8a9eutQkNok6NPTAkSSUwzl47i9KqUlhrrUXH8srzUFAh/Lu0UFvA29bbZGvsCGJiYsy9BCKSwNgkUibGJpEyMTaJlImxSURyMUkCY/z48fjzzz+RkZEheTw1NRWpqanYsGEDVCoVAODtt9/GwYMH0a9fv9oPV1dXUyyPSDnYA0OSq7UrvGy9cLn4cu2Y3qDHiasn0M+jn+j8tPw00Zi/gz80ao0pl9nucTcckTIxNomUibFJpEyMTSJlYmwSkVxM0gPj+++/x4ULF5CVlYUtW7bg5ZdfxqRJk+Dv7w/AuDOj5qNGRkYGvv76ayxZsgS33HILPDw84O/vj4kTJ+KFF17A5s2bkZ6eborlEpmPZA8M7sAAgF5uvURj9TXyZv+LlomPjzf3EohIAmOTSJkYm0TKxNgkUibGJhHJxaQlpNzd3TFmzBiMGTOmduzq1as4dOhQ7cfhw4eRmiq++QgYkxoZGRn48ccfAQAqlQpVVVWmXDJR25IsIcUdGICxjFT8eeEvPPU18mYCg4iIiIiIiIiIqOMxaQJDiouLC0aNGoVRo0bVjl27dg2HDx8WJDXOnj0r2KFB1CExgVGvcDdxH4zknHoSGAVMYBAREREREREREXU0bZ7AkOLk5ISbbroJN910U+1YQUEB/vzzT0FS48yZM2ZcJZHMDAb2wGhAmGuYaCytIA2FFYWwtxCW2eIOjJapKetHRMrC2CRSJsYmkTIxNomUibFJRHJRGdrRNofi4mLY2tqaexnUCdQ0l69hkjCpKAGWeQnHNBbAs9nyX6udGr9xPM4XnBeMrR69GgO8BtR+XlFdgejPo6E36AXn/THjD9jq+POCiIiIiIiIiIg6tza512kiJmnibSpMXlCHIrX7guWjBMJdJcpI1emDkV6QLkpeeNh4MHnRBHv27DH3EohIAmOTSJkYm0TKxNgkUibGJhHJpV0lMIg6FMn+F/bisU6sl1sv0VhSTpLgc/a/aLn8/HxzL4GIJDA2iZSJsUmkTIxNImVibBKRXJjAIDIXqQQG+18ISO7AqNPIW7L/hQMTGERERERERERERO0dExhE5lImtQODCYwbhbqEQq0S/pi6VHwJV8uu1n7OBt4tZ2VlZe4lEJEExiaRMjE2iZSJsUmkTIxNIpILExhE5sIeGI2y0dkgyDFINH7jLgwmMFpu1KhR5l4CEUlgbBIpE2OTSJkYm0TKxNgkIrkwgUFkLuyB0SRSfTBqGnkbDAYmMFrh5MmT5l4CEUlgbBIpE2OTSJkYm0TKxNgkIrkwgUFkLlI7MNgDQ6SXq0QC4+8dGNml2SipKhEcs9Zaw8PGo03W1t6dOnXK3EsgIgmMTSJlYmwSKRNjk0iZGJtEJBcmMIjMRbIHBndg1BXuJm7knZSbVO/ui0CHQFHfDCIiIiIiIiIiImp/eJePyFwkS0hxB0ZdIc4h0Kq1grGc0hxcKbnC8lFEREREREREREQdGBMYRObCHhhNYqGxQIhziGg8KTeJCYxWiouLM/cSiEgCY5NImRibRMrE2CRSJsYmEcmFCQwic5HsgeHY9utoB+rrg8EEBhERERERERERUcfFBAaRubAHRpNJ9cFIzk1GaoF0Dwxqmj179ph7CUQkgbFJpEyMTSJlYmwSKRNjk4jkom38FCIyCakdGOyBISncVZzAOJp9FEWVRYIxFVQIcAhoq2URERERERERERGRCXEHBpG5sAdGk3Vz6gYrjZVgrG7yAgC87bxhpbUSjRMREREREREREVH7wwQGkblI9sDgDgwpWrUWoS6hjZ7H/hfNExIibo5ORObH2CRSJsYmkTIxNomUibFJRHJhAoPIXNgDo1l6uYkbedfFBEbz9OjRw9xLICIJjE0iZWJsEikTY5NImRibRCQXJjCIzEGvByrYA6M5wlzDGj2HCYzmiY+PN/cSiEgCY5NImRibRMrE2CRSJsYmEcmFCQwic5BKXuhsAbWm7dfSTjRlB0agQ6DpF9KBlJWVmXsJRCSBsUmkTIxNImVibBIpE2OTiOTCBAaRObD/RbMFOATATmfX4DncgUFERERERERERNRxMIFBZA7sf9FsapW6wTJS9hb2cLVybcMVtX+Ojo7mXgIRSWBsEikTY5NImRibRMrE2CQiuTCBQWQOUjsw2P+iUeFu4fUe6+rYFSqVqg1X0/7FxcWZewlEJIGxSaRMjE0iZWJsEikTY5OI5MIEBpE5lHMHRkuEuzaQwHBg+ajmOnLkiLmXQEQSGJtEysTYJFImxiaRMjE2iUguTGAQmYNUAoM9MBrVUCNv9r9ovvT0dHMvgYgkMDaJlImxSaRMjE0iZWJsEpFcmMAgMgf2wGgRb1tvOFk6SR4LdAxs28UQERERERERERGRSTGBQWQOkj0w2OCqMSqVqt4+GNyBQURERERERERE1LEwgUFkDuyB0WK9XMVlpLQqLfzs/cywmvZt1KhR5l4CEUlgbBIpE2OTSJkYm0TKxNgkIrkwgUFkDlI7MNgDo0mkGnn72vtCp9aZYTXtW35+vrmXQEQSGJtEysTYJFImxiaRMjE2iUguTGAQmQN7YLRYVJco2FsI/66G+Awx02rat/3795t7CUQkgbFJpEyMTSJlYmwSKRNjk4jkwgQGkTlIlpDiDoymsLewx3Oxz8HBwvj31d+zP+7rfZ+ZV0VERERERERERERy05p7AUSdEntgtMqYrmMQ5xuH8upyOFo6Qq1iLpaIiIiIiIiIiKijYQKDyBykSkhZObb9OtoxG50NbHQ25l5GuxYREWHuJRCRBMYmkTIxNomUibFJpEyMTSKSi8pgMBjMvQgipVGpVILPZQ+TdyKBq2eFY/P3A+495L0OERERERERERERdWomv9dpQqy7QmQO7IFBCvDDDz+YewlEJIGxSaRMjE0iZWJsEikTY5OI5MIEBpE5lBeKx9gDg4iIiIiIiIiIiKgWExhEba2qAqgqE46p1ICFrXnWQ0RERERERERERKRATGAQtbX6dl/UqUVHZGqenp7mXgIRSWBsEikTY5NImRibRMrE2CQiubCJN5EEkza2uXoOeKefcMzRH3j8mHzXICIiIiIiIiIiIgKbeBNRc7D/BSnE/v37zb0EIpLA2CRSJsYmkTIxNomUibFJRHJhAoOorZUViMesHNp+HdTpZWVlmXsJRCSBsUmkTIxNImVibBIpE2OTiOTCBAZRW+MODCIiIiIiIiIiIqJGMYFB1NbKJXZgWHIHBhEREREREREREdGN2MSbSIJJG9vs/wjY8qRwrP8cYMLb8l2DiIiIiIiIiIiICGziTUTNUZYvHmMPDDKD8+fPm3sJRCSBsUmkTIxNImVibBIpE2OTiOTCBAZRW2MPDFKIo0ePmnsJRCSBsUmkTIxNImVibBIpE2OTiOTCBAZRW5PsgeHY9usgIiIiIiIiIiIiUjAmMIjaGndgEBERERERERERETWKCQyitlYmsQODPTDIDGJiYsy9BCKSwNgkUibGJpEyMTaJlImxSURyYQKjnXnhhRegUqma9LFmzZpG56uursbq1asxYsQIeHh4wMrKCl27dsXs2bOxf//+Jq+rrKwMb731FmJjY+Hq6gobGxt0794d8+fPx4kTJ5o8T15eHl566SX069cPTk5OsLOzQ1hYGBYvXoyLFy82eR5F4w4MUghHR5YuI1IixiaRMjE2iZSJsUmkTIxNIpILExid2NWrVxEXF4f7778fu3btQnZ2NsrLy5GWloa1a9di0KBBWLZsWaPzpKamIjIyEgsXLkRiYiKuXr2K0tJSnDlzBitXrkS/fv2alEw5dOgQevfujeeffx5//fUX8vPzUVxcjOPHj2P58uXo3bs3tm7dKsNXbmaSPTC4A4PaXnx8vLmXQEQSGJtEysTYJFImxiaRMjE2iUguWnMvgFru2LFjDR739fWt95her8ftt9+OhIQEAMCECRPw4IMPwsPDA3/++SeWLVuG8+fPY+nSpejSpQvuvfdeyXmKioowbtw4HD9+HAAwe/ZszJw5E3Z2dkhISMCyZcuQm5uLuXPnwtvbG6NHj5ac59KlSxg/fjwyMzOh0WiwYMECTJw4EVqtFjt37sQrr7yCa9eu4c4770RCQgIiIiKa8lekTJIJDO7AICIiIiIiIiIiIroRExjtWK9evVr82s8++wy7d+8GANx///348MMPa49FR0dj4sSJiIyMxKVLl7Bo0SLccccdktv/3njjjdrkxb/+9S8sXbq09lhsbCxuvfVWREVFobi4GI8++iiSk5Oh1Yq/7ZYuXYrMzEwAwNq1azFz5szaY4MHD8awYcMwcuRIFBcX4/HHH8fOnTtb/LWbnWQPDG6tJCIiIiIiIiIiIroRS0h1Uq+//joAwMnJCW+++abouKenJ1555RUAxlJTq1evFp1TWVmJFStWAABCQkLw1FNPic4JDQ3F4sWLAQCnTp3C5s2bRedcuXIFn332GQBg5MiRguRFjWHDhmHWrFkAgF9++QWHDh1q0tepOAYDe2CQYvj7+5t7CUQkgbFJpEyMTSJlYmwSKRNjk4jkwgRGJ3TmzBkkJSUBAKZOnQo7OzvJ8248tnHjRtHxXbt2IS8vD4CxdJRaLf3tdGP5Kal5Nm/ejOrqagDAfffdV++6G5unXagsAQzVwjGNJaC1NM96qFPr06ePuZdARBIYm0TKxNgkUibGJpEyMTaJSC5MYHRCe/furf3zsGHD6j3P0tISAwcOBAAkJiaisrJScPy3335r0jw+Pj7o3r276DXNnScmJgY2Njb1ztMucPcFKciePXvMvQQiksDYJFImxiaRMjE2iZSJsUlEcmECox275ZZb4OnpCQsLC3h4eGDIkCF48cUXkZWV1eDrUlJSav8cFhbW4LmhoaEAgKqqKpw+fYF1j3EAACAASURBVLrV86Snp6O4uFhyHkdHR3h7e9c7h06nQ7du3UTXbohKpWrRh8lI9r9wMN31iBqQn59v7iUQkQTGJpEyMTaJlImxSaRMjE0ikgsTGO3Y9u3bceXKFVRWViI7Oxv79u3DCy+8gKCgIKxZs6be1128eLH2z76+vg1ew8/Pr/bPFy5ckJzH1tYWTk5OTZrHYDAIrn/jPI2t5cZ5srOzUV5e3uj5isMdGERERERERERERERNojX3Aqj5evXqhYkTJyImJgY+Pj6orq7G2bNnsWHDBmzcuBElJSWYM2cOAGNviroKC6/fRK+v/4XU8aKiIsl5GpvDlPNYWrZN74gffvgBABAXFwdAuBUyJCQEPXr0QHx8PMrKygAYd5PExcXh/9m7/zAr63Jf/PdiQEZABxXFLyDk8UCGiBqKPzJ+qLRRQY6Wu9O1zfDXKXfuypOFW7oKlXa5K1L36ZilQGm1j7ZLdJcZqTC51UZJBVNBTSHwAiUR+eHgAOv7h5u1Z5hnhpnhmVmfBa/XdXFda9Z61ue5F/h2zax7Ps/9zDPPxIoVK0rH/s1/3yf22Wnt+uI+Ud3oHBHvDVEfPXp01NXVNdlRM3ny5Fi+fHksXry4dN/o0aOjpqYm5s+fX7pv8ODBccwxx0RtbW3ptx6qq6tjwoQJsXTp0li2bFnp2N19TRMmTIj169dHXV1d6b6RI0fGkCFDvKbEX9OOc+5Jr2lP/Hfymva+1/TUU0/tca9pT/x38pr2vtdUXV29x72mPfHfyWva+17TU089tce9pj3x38lr2vte07Jly0rr7imvaU/8d/Ka9p7XVMkKxWKxWO4iaLu33nqr1d0O8+bNi/PPPz8aGhqid+/e8ec//zkOOeSQJsecfvrp8dBDD0VExLZt21ocvh0RMXv27NJg7TvuuCMuuOCC0mNHHHFE/PnPf47DDjusSYizfPWrX43rr78+It6bwXHqqaeWHquqqort27fHhz/84V1eI/HCCy+MO+64IyLe2xGyq10beV0OKreYPDcv4q4Lm973/rMjPvHTfNYHAAAAAGhk589IK6kl4BJSnaC+vr7Dsxca/5kxY0aztXd1qaYpU6bE9OnTIyJi06ZNcfvttzc7Zt999y3dfvfdd1tdr/Flmho/r/HXu1qjq9bJUiwWO/Sn05iBQUKWLl1a7hKADLIJaZJNSJNsQppkE8iLBsYe6DOf+Uypq7ZgwYJmj++333/NXNj5ck47a/z4zpd42rHOrtboqnUqghkYJKTxVkMgHbIJaZJNSJNsQppkE8iLGRidoGfPnvH888/v9jr9+vXr0PP69+8fBx10UKxdu7bZwOyIpsOyV65c2ep5Gg/ubjzQu/E6mzZt2uWlrXasUygUml32adCgQbF69erMWlta5+CDD+6y+Re52pKxA6OnHRgAAAAAADvTwOgEhUIhjjzyyLLX0JLhw4eXbj/33HNx7LHHtnjsCy+8EBER3bt3j6FDh7a6zimnnLLLdQYPHhy9e/duts6TTz4Z69evj9deey0GDBiQuUZDQ0O8/PLLzc5dUezAAAAAAABoE5eQ2gO9/vrrsXbt2oiIzGZA4wHaCxcubHGdLVu2xGOPPRYRESeeeGL06NGjQ+usWrUqXnzxxWbPae86TzzxRGzevLnFdSpC/frm95mBQZmMGTOm3CUAGWQT0iSbkCbZhDTJJpAXDYw90K233loaRD127Nhmjw8dOjRGjBgRERF33XVXi7Mn7r777tJj5557brPHx40bFwcccEBERMydOze2b9+euc6cOXNKt7PWOeecc6KqqioiInPo+A6zZ89udZ2KkLkDQwMDAAAAAGBnGhgVZMmSJaWdDC2ZN29eXH/99RERse+++8ZFF12UedxVV10VERFvvfVWfPGLX2z2+Jo1a+Lqq6+OiIgDDjggLrnkkmbH9OjRIz7/+c9HxHvDmb75zW82O2bp0qVxww03RETEsGHDYsqUKc2O6d+/f3zyk5+MiIgHH3wwfvrTnzY7pra2NubOnRsREePHj49Ro0Zlvq7kmYFBQmpra8tdApBBNiFNsglpkk1Ik2wCeTEDo4IsWrQoLrnkkhg3blyceeaZMXLkyOjXr19s27YtXnrppbj77rvjnnvuKe2+mDVrVgwcODBzrU9+8pMxZ86cWLhwYfzgBz+I1atXx6c//ek4+OCD4+mnn46vf/3rsWrVqoiI+Na3vtXigO4vfvGL8f/+3/+L559/PqZPnx4vvvhiXHDBBdGnT5947LHHYubMmbFx48aoqqqKf/mXf4nu3bP/k5s5c2bcf//9sWbNmrjwwgtj0aJFMWXKlOjevXv87ne/ixtuuCG2bdsWvXv3jhtvvDGHv80yMQMDAAAAAKBNNDAqzPbt2+Ohhx6Khx56qMVjevfuHTfddFPmrokdunXrFr/4xS9i8uTJ8eijj8a9994b9957b7Njrr/++lbX6dOnT/zqV7+Ks88+O55//vmYO3duaafEDtXV1XHLLbfERz7ykRbXGThwYPzqV7+KKVOmxKpVq2LWrFkxa9asJsf07ds3fvazn8XIkSNbXCd59Rk7MMzAAAAAAABoRgOjgpx11llx++23x+OPPx5PPfVUrFmzJtauXRvbt2+PAw88MI466qiYMGFCXHzxxdGvX79drnfggQdGbW1tzJkzJ+68887405/+FBs2bIhDDz00xo4dG5/97Gdj9OjRu1zn8MMPj0WLFsUtt9wSd911VyxbtizeeeedGDhwYHzkIx+Jz33uc3HkkUfucp1Ro0bFkiVL4uabb45f/vKX8corr8S2bdti8ODBMWnSpPjc5z4XgwYNatPfVbLMwCAhw4YNK3cJQAbZhDTJJqRJNiFNsgnkpVDccb0hoKRQKDT5OreY/NPAiHd3Gpo+bXnEvtmX6AIAAAAA2B2d9llnFzDEG7rK9m3NmxcRZmBQNvPnzy93CUAG2YQ0ySakSTYhTbIJ5EUDA7pK1uWj9ukT0a2q62uBiKivry93CUAG2YQ0ySakSTYhTbIJ5EUDA7qK+RcAAAAAAG2mgQFdZcvbze9z+SjKqKamptwlABlkE9Ikm5Am2YQ0ySaQF0O8IUOnDLZZ8XjE7L9pet+gEyIu/d3urw0AAAAAkMEQb2DX6u3AIC3PPPNMuUsAMsgmpEk2IU2yCWmSTSAvGhjQVTIvIWUGBuWzYsWKcpcAZJBNSJNsQppkE9Ikm0BeNDCgq5iBAQAAAADQZhoY0FW2bGh+X7WhVgAAAAAAWQzxhgydMtjmwesjfv/tpveN+8eIcVfv/trQAfX19VFdXV3uMoCdyCakSTYhTbIJaZJNSIsh3sCuZe3AMAODMlq/fn25SwAyyCakSTYhTbIJaZJNIC8aGNBVzMAgMXV1deUuAcggm5Am2YQ0ySakSTaBvGhgQFfJnIFhBwYAAAAAQBYNDOgq9RnbJ+3AAAAAAADIpIEBXSVzBkZN19cB/2nkyJHlLgHIIJuQJtmENMkmpEk2gbwUipU0chy6SKFQaPJ1LjG5+biIN//c9L7PPhFx8LDdXxsAAAAAIEOnfNbZRezAgK5iBgaJue+++8pdApBBNiFNsglpkk1Ik2wCedHAgK5S/3bz+8zAAAAAAADIpIEBXWHrlohtW5reV6iK6NGrPPUAAAAAACROAwO6QuYA7/0idrr+HHSl/v37l7sEIINsQppkE9Ikm5Am2QTyYog3ZMh9sM2bf35viHdjfQdHfGHJ7q0LAAAAANAKQ7yB1mXOvzDAm/Kqq6srdwlABtmENMkmpEk2IU2yCeRFAwO6QuYlpDQwKK81a9aUuwQgg2xCmmQT0iSbkCbZBPKigQFdYUvWDoz9ur4OAAAAAIAKoYEBXSFrB0a1HRgAAAAAAC0xxBsy5D7Y5g8/iLj/S03vO/7iiEnf3b11AQAAAABaYYg30LrMS0jZgUF5LV++vNwlABlkE9Ikm5Am2YQ0ySaQFw0M6ApmYJCgxYsXl7sEIINsQppkE9Ikm5Am2QTyooEBXSFzBkZN19cBAAAAAFAhNDCgK9TbgQEAAAAA0B4aGNAVsnZgmIFBmY0ePbrcJQAZZBPSJJuQJtmENMkmkBcNDOgKZmCQoJoalzGDFMkmpEk2IU2yCWmSTSAvGhjQFTJnYNiBQXnNnz+/3CUAGWQT0iSbkCbZhDTJJpAXDQzoCmZgAAAAAAC0iwYGdIXMS0jZTgkAAAAA0BINDOhsxWILQ7ztwKC8Bg8eXO4SgAyyCWmSTUiTbEKaZBPIS6FYLBbLXQSkplAoNPl6t2Ly7qaIfxrQ9L7u1RFfWdPxNQEAAAAA2iDXzzq7mB0Y0NnMvyBRtbW15S4ByCCbkCbZhDTJJqRJNoG8aGBAZ8u8fNT+XV8H7GT9+vXlLgHIIJuQJtmENMkmpEk2gbxoYEBnyxzgbQcGAAAAAEBrNDCgs2U1MKrtwKD8qqury10CkEE2IU2yCWmSTUiTbAJ5McQbMuQ62OZP90Tc/amm9x05KeJ//qTjawIAAAAAtIEh3kDLzMAgUUuXLi13CUAG2YQ0ySakSTYhTbIJ5EUDAzqbGRgkatmyZeUuAcggm5Am2YQ0ySakSTaBvGhgQGfL2oFhBgYAAAAAQKs0MKCz1duBAQAAAADQXhoY0NkyLyFlBwblN2bMmHKXAGSQTUiTbEKaZBPSJJtAXjQwoLOZgQEAAAAA0G4aGNDZMmdg1HR9HbCT2tracpcAZJBNSJNsQppkE9Ikm0BeNDCgs5mBAQAAAADQbhoY0NmydmCYgQEAAAAA0CoNDOhsZmCQqGHDhpW7BCCDbEKaZBPSJJuQJtkE8lIoFovFchcBqSkUCk2+3q2Y/NPAiHc3Nr3v6hXmYAAAAAAAnS7Xzzq7mB0Y0Jm2b2vevIiI2KdP19cCO5k/f365SwAyyCakSTYhTbIJaZJNIC8aGNCZsuZf7LNfRLeqrq8FdlJfX1/uEoAMsglpkk1Ik2xCmmQTyIsGBnQm8y8AAAAAADpEAwM6U9YOjOr9u74OyFBTYw4LpEg2IU2yCWmSTUiTbAJ5McQbMuQ22Gb5YxFzJja9b9AJEZf+roOVAQAAAAC0nSHeQLasHRg97cAgDc8880y5SwAyyCakSTYhTbIJaZJNIC8aGNCZzMAgYStWrCh3CUAG2YQ0ySakSTYhTbIJ5EUDAzpTVgPDDAwAAAAAgF3SwIDOVJ+1A0MDAwAAAABgVwzxhgy5DbZ58PqI33+76X3jrokYN62DlUF+6uvro7q6utxlADuRTUiTbEKaZBPSJJuQFkO8gWxmYJCw9evXl7sEIINsQppkE9Ikm5Am2QTyooEBnWnLhub3mYFBIurq6spdApBBNiFNsglpkk1Ik2wCedHAgM6UOQPDDgwAAAAAgF3RwIDOlHkJKTswAAAAAAB2RQMDOpMGBgkbOXJkuUsAMsgmpEk2IU2yCWmSTSAvhWIljRyHLlIoFJp83eGY3HxcxJt/bnrfFU9G9BvawcoAAAAAANout886y8AODOhMZmCQsPvuu6/cJQAZZBPSJJuQJtmENMkmkBcNDOhMLiEFAAAAANAhGhjQWbZuidj2btP7ClURPfYtTz0AAAAAABVEAwM6S9blo6r3j9jpmnNQLv379y93CUAG2YQ0ySakSTYhTbIJ5MUQb8iQy2Cbv74c8S8fbHpf38ERX1iyG5UBAAAAALSdId5Ac5nzL2q6vg5oQV1dXblLADLIJqRJNiFNsglpkk0gLxoY0Fm2bGh+X8/9ur4OaMGaNWvKXQKQQTYhTbIJaZJNSJNsAnnRwIDO0tIMDAAAAAAAdkkDAzqLHRgAAAAAAB1miDdkyGWwzR9ujbj/y03vO/6SiEmzdqMyAAAAAIC2M8QbaC5ziLcdGKRj+fLl5S4ByCCbkCbZhDTJJqRJNoG8aGBAZzEDg8QtXry43CUAGWQT0iSbkCbZhDTJJpAXDQzoLJkzMDQwAAAAAADaQgMDOkvmJaQ0MAAAAAAA2kIDAzpL5g4MMzBIx+jRo8tdApBBNiFNsglpkk1Ik2wCedHAgM5iBgaJq6mpKXcJQAbZhDTJJqRJNiFNsgnkRQMDOosdGCRu/vz55S4ByCCbkCbZhDTJJqRJNoG8aGBAZzEDAwAAAACgwzQwoLNoYAAAAAAAdJgGBnSGYtElpEje4MGDy10CkEE2IU2yCWmSTUiTbAJ5KRSLxWK5i4DUFAqFJl+3OyZbNkZ8Y2DT+7pXR3xlzW5WBgAAAADQdrv9WWcZ2YEBncHlo6gAtbW15S4ByCCbkCbZhDTJJqRJNoG8aGBAZ3D5KCrA+vXry10CkEE2IU2yCWmSTUiTbAJ50cCAzlCfsQOj2g4MAAAAAIC20sCAzpB5CSk7MEhLdXV1uUsAMsgmpEk2IU2yCWmSTSAvhnhDht0ebPOnX0bcPbXpfUdOivifP9m9wgAAAAAA2sEQb6CpzBkYLiFFWpYuXVruEoAMsglpkk1Ik2xCmmQTyIsGBnQGMzCoAMuWLSt3CUAG2YQ0ySakSTYhTbIJ5EUDAzqDHRgAAAAAALtFAwM6gyHeAAAAAAC7RQMDOkNWA8MlpEjMmDFjyl0CkEE2IU2yCWmSTUiTbAJ50cCAzpA1A8MODAAAAACANtPAgM6QOQOjpuvrgFbU1taWuwQgg2xCmmQT0iSbkCbZBPKigQGdwQwMAAAAAIDdooEBnSFrB4YZGAAAAAAAbaaBAZ3BDAwqwLBhw8pdApBBNiFNsglpkk1Ik2wCeSkUi8ViuYuA1BQKhSZftzsmXx8Q0bCp6X1X/8UuDAAAAACgS+32Z51lZAcG5G3b1ubNiyhE7NOnLOVAS+bPn1/uEoAMsglpkk1Ik2xCmmQTyIsGBuTt3Yz5Fz33i+gmbqSlvr6+3CUAGWQT0iSbkCbZhDTJJpAXn6hC3sy/AAAAAADYbRoYXWT79u3x3HPPxdy5c+Pv//7v44QTToiePXtGoVCIQqEQCxYsaNd627Zti9tuuy3Gjx8fhxxySFRXV8fhhx8eU6dOjbq6ujavU19fH9/97nfjpJNOioMOOih69eoVQ4cOjc9+9rPxwgsvtHmddevWxXXXXRfHHXdc9O3bN/r06RPDhw+PadOmxcqVK9u8zsqVK2PatGkxfPjw6NOnT/Tt2zeOO+64uO6662LdunVtXqestmTtwDD7gvTU1NSUuwQgg2xCmmQT0iSbkCbZBPJiiHcX+dGPfhRTp05t8fGHH344xo0b16a13nzzzZg8eXI8+uijmY9XVVXFddddF9dcc02r67zyyitx9tlnx/PPP5/5eHV1ddxyyy2t1h0RsWjRopgyZUqsWrUq8/G+ffvGz372s5g4cWKr6/zmN7+JT3ziE/HWW29lPj5w4MCYN29ejBo1qtV18rBbg22WPxox58ym9w0aHXGp6z8CAAAAAF3LEG92qfF/FD169Ijjjjsujj766Havs3379jjvvPNKzYvJkyfHv//7v0ddXV3ceuutMWTIkNi2bVtMnz49Zs+e3eI6GzdubNK8mDp1asyfPz8ee+yx+M53vhMHHXRQ1NfXx6WXXhq//e1vW1zntddei0mTJsWqVauiqqoqrrzyyliwYEE88sgjce2118a+++4bb731VnzsYx+LxYsXt7jO4sWL42Mf+1i89dZb0atXr7j22mvjkUceiQULFsSVV14ZVVVVsWrVqpg0aVK89tpr7f5761JZOzCq7cAgPc8880y5SwAyyCakSTYhTbIJaZJNIC8aGF1k+PDhcdNNN8Vjjz0Wb7/9dvzxj3+M8847r93r3HHHHbFw4cKIiLjsssvi3nvvjbPPPjtOOOGE+F//63/FH/7whxgwYEBERHzpS1+K9evXZ67zne98p9S8mDlzZsyZMyfOOOOMOOmkk+J//+//HY888kj07t07tm3bFv/wD/8QW7duzVxn+vTpsXr16oh4b5fJrFmzYuzYsfGhD30ovvrVr8b9998fVVVVsWnTprjyyitbfF1f+MIXYtOmTVFVVRX3339/fPWrX40PfehDMXbs2Jg1a1bMnTs3IiJWr14dX/nKV9r999alzMCgQqxYsaLcJQAZZBPSJJuQJtmENMkmkBcNjC4yevTo+NznPhcnnXRSVFdXd3idb3/72xHx3mWZZs2a1ezx/v37xze/+c2IeO9SU7fddluzYxoaGuKmm26KiIhhw4bFP/7jPzY75sgjj4xp06ZFRMSyZcti3rx5zY55/fXX44477oiIiNNPPz3+7u/+rtkxY8eOjU996lMREfHQQw/FokWLmh2zaNGiePjhhyPivZ0gY8aMaXbMBRdcEKeddlpERPz4xz+O119/vdkxydiS1cCwAwMAAAAAoD00MCrISy+9FM8++2xERPzt3/5t9OnTJ/O4xo/98pe/bPb4ggULSgOxp06dGt26Zf9ncPHFF5duZ60zb9682LZtW0REXHLJJS3Wvat1fvGLX5Rut2Wdbdu2xb333tvicWWX2cCwAwMAAAAAoD00MCrI73//+9LtsWPHtnhcz5494+STT46IiD/84Q/R0NDQ5PFHHnmkTesMHDgwhg4d2uw57V1n9OjR0atXr12u06tXrzjhhBNaXGf8+PGZ505O5gyMmq6vA3ZhwoQJ5S4ByCCbkCbZhDTJJqRJNoG8aGBUkOeee650e/jw4a0ee+SRR0ZExNatW+PFF1/c7XVWrFgRmzZtylynpqamNHcjS48ePeKII45odu6d1xk6dGh07969xXUGDBgQ+++/f4vrJMMMDCpESzNygPKSTUiTbEKaZBPSJJtAXjQwKsjKlStLtwcNGtTqsYcddljp9l/+8pfMdXr37h19+/Zt0zrFYrHJ+Ruvs6taGq/zxhtvxJYtW0r3b9myJdauXdvmdXYcs/NrakmhUOjQn92StQPDDAwSVFdXV+4SgAyyCWmSTUiTbEKaZBPIiwZGBdmw4b8+GG9p/kXW4xs3bsxcZ1drdMU67XlNjY/ZuZakmIEBAAAAALDbWr5eD8l55513Srf32WefVo/t2bNn5vMaf72rNbpinfa8psbr7FxLZ7vvvvsiImLMmDEREVFbW1t6bNiwYfH+978/5s+fH/X19XHyqlei307Pf+ypP8XalwsxYcKEWL9+fZPfRBg5cmQMGTKkdI6IiP79+8fo0aOjrq4u1qxZU7p/8uTJsXz58li8eHHpvtGjR0dNTU3Mnz+/dN/gwYPjmGOOidra2tK2zerq6pgwYUIsXbo0li1bVjq2La8p4r1LhY0ZMyaeeeaZWLFiRelYr6lyX9Prr78eEbFHvaY98d/Ja9r7XtOOdfek17Qn/jt5TXvfa4qIPe417Yn/Tl7T3vea6urq9rjXtCf+O3lNe99revbZZ0v37SmvaU/8d/Ka9p7XVMkKxWKxWO4iUlFfXx/77rvvbq/zta99LWbMmLHL42bMmBHXXnttREQ8/PDDMW7cuFaPnzRpUvzqV7+KiPc+wK+urm7x2FtuuSX+/u//PiIifv7zn8dHP/rR0mMjRoyIP/3pT9G/f/9YvXp1q+ecNm1a/PM//3NERDz55JMxatSo0mN9+vSJTZs2xYknnhiPP/54q+t8/OMfj7vuuisiItauXRsHHXRQ6fbBBx9cOuZf//VfW13nxBNPjLq6uujTp0+T3Rst2e3LQf2ndsXk+x+OWL246X2XPRQxcFT28VAmy5cvjyFDhpS7DGAnsglpkk1Ik2xCmmQT0rLzZ6SV1BJwCakKst9+/3UZol1dQqnx4ztfmmnHOm25DFNnr9Oe19T4mLZcbirivTB25M9uyZyBUbN7a0In8M0kpEk2IU2yCWmSTUiTbAJ5cQmpRnr27BnPP//8bq/Tr9/OFxDKR+Mh1ytXrmz1PI2HXDce6N14nU2bNsVbb73V6iDvHesUCoVmQ7YHDRoUq1evbjbcu7V1Dj744CaXk+rZs2f069cv1q5d26Z1dhyz82tKihkYVIj77rsvJk+eXO4ygJ3IJqRJNiFNsglpkk0gLxoYjRQKhTjyyCPLXUaLhg8fXrr93HPPxbHHHtvisS+88EJERHTv3j2GDh3a6jqnnHLKLtcZPHhw9O7du9k6Tz75ZKxfvz5ee+21GDBgQOYaDQ0N8fLLLzc7d+N1amtr48UXX4ytW7dG9+7Z/1m+9tpr8fbbb7e4TjKydmBU79/1dQAAAAAAVDCXkKogp556aun2woULWzxuy5Yt8dhjj0XEezMjevTo0aF1Vq1aFS+++GKz57R3nSeeeCI2b968y3U2b94cTzzxRIvrLFiwIPPcSWmoj9j2btP7unWP6N7yvBIAAAAAAJrTwKggQ4cOjREjRkRExF133dXizIi777679Ni5557b7PFx48bFAQccEBERc+fOje3bt2euM2fOnNLtrHXOOeecqKqqioiI22+/vcW6Z8+e3eo65513Xul2W9apqqqKc845p8Xjyipz/sX+ETkNE4c89e/fv9wlABlkE9Ikm5Am2YQ0ySaQFw2MCnPVVVdFRMRbb70VX/ziF5s9vmbNmrj66qsjIuKAAw6ISy65pNkxPXr0iM9//vMREbFs2bL45je/2eyYpUuXxg033BAREcOGDYspU6Y0O6Z///7xyU9+MiIiHnzwwfjpT3/a7Jja2tqYO3duRESMHz8+Ro0a1eyYUaNGxfjx4yPivYbK73//+2bH/OQnP4kHH3wwIiIuvPDCOOSQQ5odkwTzL6ggo0ePLncJQAbZhDTJJqRJNiFNsgnkpVAsFovlLmJvseOD/B3uueeemDdvXkRETJs2rcn8jUMPPTQmTpzYbI3t27fHaaedVrpk0znnnBOf/vSn4+CDD46nn346vv71r8fy5csjIuK2227LbGBERGzcuDFGjx5dGlo+derUuOCCC6JPnz7x2GOPxcyZM+Ovf/1rVFVVxa9//ev4yEc+krnOqlWrYtSoUbFmzZqoqqqKz3/+8zFlypTos9GYiAAAIABJREFU3r17/O53v4sbbrghNm/eHL17945HH300Ro4cmbnO4sWL45RTTolNmzZFr1694uqrr47TTz89tm7dGvPmzYubbroptm3bFv37948//vGPLc7byEthpx0TbY7Ja09F/GBc0/sOPTriM4/kUxjkqK6uzjeVkCDZhDTJJqRJNiFNsglp6fBnnQnQwOhCO/+H0pqxY8c2mfnQ2JtvvhmTJ0+ORx99NPPxbt26xfXXXx/XXHNNq+d45ZVX4uyzzy41MXZWXV0dt9xyS0ydOrXVdRYtWhRTpkyJVatWZT7et2/f+NnPfpbZkGnsN7/5TXziE5+It956K/PxgQMHxrx58zJ3ceStw6H+88KIH+90eashH4q46Nc5VQb5ue+++2Ly5MnlLgPYiWxCmmQT0iSbkCbZhLRUcgPDJaQq0IEHHhi1tbXxwx/+MMaOHRv9+vWLnj17xpAhQ+LCCy+Mxx57bJfNi4iIww8/PBYtWhTf+c534sQTT4wDDjggqqur44gjjojLL788nnrqqV02LyLeuwTUkiVLYsaMGXHMMcfE/vvvH717944PfOAD8aUvfSmWLFmyy+ZFRMTEiRNjyZIl8aUvfSk+8IEPRO/evWP//fePY445JmbMmBFLlizpkubFbmlpBgYAAAAAAO1iBwZk6HBX8umfRtxzedP7jv7biI/+MKfKID9+IwbSJJuQJtmENMkmpEk2IS2VvANDAwMydDjUf7g14v4vN73vhEsjzv5OTpUBAAAAALRdJTcwXEIK8lT/dvP7eu7X9XVAGyxfvrzcJQAZZBPSJJuQJtmENMkmkBcNDMjTlqwGhhkYpGnx4sXlLgHIIJuQJtmENMkmpEk2gbxoYECeMhsYdmAAAAAAALSXBgbkacuG5vdV13R9HQAAAAAAFU4DA/JkBgYVZPTo0eUuAcggm5Am2YQ0ySakSTaBvGhgQJ6ydmCYgUGiamrsDoIUySakSTYhTbIJaZJNIC8aGJAnMzCoIPPnzy93CUAG2YQ0ySakSTYhTbIJ5EUDA/KUOQPDDgwAAAAAgPbSwIA8Zc7A0MAAAAAAAGgvDQzIS7HoElJUlMGDB5e7BCCDbEKaZBPSJJuQJtkE8lIoFovFchcBqSkUCk2+blNMtmyI+Magpvd13zfiK6tzrAwAAAAAoO069FlnIuzAgLyYf0GFqa2tLXcJQAbZhDTJJqRJNiFNsgnkRQMD8pI5/8Llo0jX+vXry10CkEE2IU2yCWmSTUiTbAJ50cCAvGTtwDDAGwAAAACgQzQwIC9bMn67wA4MElZdXV3uEoAMsglpkk1Ik2xCmmQTyIsh3pChQ4Nt/vTLiLunNr3vA5MjPn5nfoUBAAAAALSDId5ACzMwXEKKdC1durTcJQAZZBPSJJuQJtmENMkmkBcNDMiLGRhUmGXLlpW7BCCDbEKaZBPSJJuQJtkE8qKBAXnZkrUDwwwMAAAAAICO0MCAvGTtwKi2AwMAAAAAoCM0MCAvmTMw7MAgXWPGjCl3CUAG2YQ0ySakSTYhTbIJ5EUDA/KSeQkpOzAAAAAAADpCAwPyooFBhamtrS13CUAG2YQ0ySakSTYhTbIJ5EUDA/JiBgYAAAAAQG40MCAvZmAAAAAAAORGAwPykrUDwyWkSNiwYcPKXQKQQTYhTbIJaZJNSJNsAnkpFIvFYrmLgNQUCoUmX7cpJl///yIaNje97+q/uIwUAAAAAFA2HfqsMxF2YEAetm1t3ryIQsQ+fcpSDrTF/Pnzy10CkEE2IU2yCWmSTUiTbAJ50cCAPGxpYf5FNxEjXfX19eUuAcggm5Am2YQ0ySakSTaBvPh0FfJg/gUAAAAAQK40MCAPLe3AgITV1NSUuwQgg2xCmmQT0iSbkCbZBPJiiDdkaPdgm+WPRsw5s+l9h50Ycclvc64MAAAAAKDtDPGGvV29HRhUnmeeeabcJQAZZBPSJJuQJtmENMkmkBcNDMiDGRhUoBUrVpS7BCCDbEKaZBPSJJuQJtkE8qKBAXnYsr75fXZgAAAAAAB0mAYG5CFrB0a1HRgAAAAAAB1liDdkaPdgm99dG/HIrKb3jZ8eMfbLOVcG+amvr4/q6upylwHsRDYhTbIJaZJNSJNsQloM8Ya9nRkYVKD16zMufQaUnWxCmmQT0iSbkCbZBPKigQF52PJ28/vMwCBxdXV15S4ByCCbkCbZhDTJJqRJNoG8aGBAHszAAAAAAADIlQYG5KHeDgwAAAAAgDxpYEAeMi8hZQcGaRs5cmS5SwAyyCakSTYhTbIJaZJNIC+FYiWNHIcuUigUmny9y5jcdEzEuleb3nfFooh+/z3fwgAAAAAA2qHdn3UmxA4MyIMZGFSg++67r9wlABlkE9Ikm5Am2YQ0ySaQFw0M2F3FohkYAAAAAAA508CA3bXt3Yje/SL26fNf93XrEdG9unw1AQAAAABUuO7lLgAqXveeEV984b3b27e9dzmpdzdG7HRtOUhN//79y10CkEE2IU2yCWmSTUiTbAJ5McQbMlTyYBsAAAAAgB0q+bNOl5AC2EvV1dWVuwQgg2xCmmQT0iSbkCbZBPKigQGwl1qzZk25SwAyyCakSTYhTbIJaZJNIC8aGAAAAAAAQHI0MAAAAAAAgOQY4g0ZKnmwDQAAAADADpX8WacdGAB7qeXLl5e7BCCDbEKaZBPSJJuQJtkE8qKBAbCXWrx4cblLADLIJqRJNiFNsglpkk0gLxoYAAAAAABAcjQwAAAAAACA5BjiDRkqebANtNWaNWuif//+5S4D2IlsQppkE9Ikm5Am2YS0VPJnnXZgAOylampqyl0CkEE2IU2yCWmSTUiTbAJ50cAA2EvNnz+/3CUAGWQT0iSbkCbZhDTJJpAXDQwAAAAAACA5GhgAAAAAAEByNDAA9lKDBw8udwlABtmENMkmpEk2IU2yCeSlUKykkePQRQqFQpOvxQQAAAAAqESV/FmnHRgAe6na2tpylwBkkE1Ik2xCmmQT0iSbQF40MAD2UuvXry93CUAG2YQ0ySakSTYhTbIJ5EUDAwAAAAAASI4GBsBeqrq6utwlABlkE9Ikm5Am2YQ0ySaQF0O8IUMlD7YBAAAAANihkj/rtAMDYC+1dOnScpcAZJBNSJNsQppkE9Ikm0BeNDAA9lLLli0rdwlABtmENMkmpEk2IU2yCeRFAwMAAAAAAEiOBgYAAAAAAJAcQ7whQyUPtoG2Wr9+fdTU1JS7DGAnsglpkk1Ik2xCmmQT0lLJn3XagQEAAAAAACRHAwNgL1VbW1vuEoAMsglpkk1Ik2xCmmQTyEv3chcAlWDnbVYAAAAAAHQuOzAAAAAAAIDkaGAAAAAAAADJ0cAAAAAAAACSYwYGZCgWi+UuATrNzjNd/PcOaZBNSJNsQppkE9Ikm5CmSp7vawcGAAAAAACQHA0MAAAAAAAgORoYAAAAAABAcjQwAAAAAACA5GhgAAAAAAAAydHAAAAAAAAAkqOBAQAAAAAAJEcDAwAAAAAASI4GBgAAAAAAkBwNDAAAAAAAIDkaGAAAAAAAQHI0MAAAAAAAgOR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" ] }, "metadata": { "image/png": { "height": 449, "width": 792 } }, "output_type": "display_data" } ], "source": [ "poles = r.poles\n", "\n", "for ell in [0, 2, 4]:\n", " label = r'$\\ell=%d$' % (ell)\n", " P = poles['power_%d' %ell].real\n", " if ell == 0: P = P - poles.attrs['shotnoise']\n", " plt.plot(poles['k'], P, label=label)\n", "\n", "# format the axes\n", "plt.legend(loc=0)\n", "plt.xlabel(r\"$k$ [$h \\ \\mathrm{Mpc}^{-1}$]\")\n", "plt.ylabel(r\"$P_\\ell$ [$h^{-3} \\mathrm{Mpc}^3$]\")\n", "plt.xlim(0.01, 0.3)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note that, as expected, there is no measurably cosmological signal, since the input catalogs were simply uniformly distributed objects on the sky. " ] } ], "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": "3.6.2" } }, "nbformat": 4, "nbformat_minor": 2 }