{ "cells": [ { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "# CCL matter power spectra calculations\n", "\n", "In this example, we will calculate the matter power spectrum using different options for the transfer function (CAMB, CLASS, etc.), different options for the matter power spectrum (emulator, with baryons) and different cosmologies, including parametrized Modified Gravity.\n", "\n", "Note that you will need CAMB and CLASS installed in your system. You can check our installation instructions for further details: https://ccl.readthedocs.io/en/v2.0.0/source/installation.html" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import pyccl as ccl\n", "import pylab as plt\n", "import math\n", "%matplotlib inline" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "We begin by defining a set of cosmological parameters, as usual:" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "cosmo = ccl.Cosmology(Omega_c=0.27, Omega_b=0.045, h=0.67, A_s=2.1e-9, n_s=0.96, \n", " transfer_function='boltzmann_class')" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "Note that we have explicitly defined how transfer functions should be calculated for the linear matter power spectrum, by using the `transfer_function` keyword argument. The types of transfer function are listed [here](https://ccl.readthedocs.io/en/latest/source/notation_and_other_cosmological_conventions.html#supported-models-for-the-power-spectrum-mass-function-etc)." ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "The default is `boltzmann_camb`, which uses a full transfer function calculation from the CAMB Boltzmann code. This is one of the most accurate options at the level of linear pertubation theory, but will be less accurate at non-linear scales.\n", "\n", "If we were less interested in precision but wanted to improve speed, we could have chosen the `eisenstein_hu` option instead.\n", "\n", "Likewise, the `Cosmology()` object constructor also has a `matter_power_spectrum` argument that can be changed. There is no need to do this for now, however." ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "### NB: How CCL caches results\n", "Now, we can calculate the linear and non-linear matter power spectra as a function of wavenumber. Before we do that though, let's just perform a quick test to see how CCL caches the results of calculations:" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "False\n", "False\n" ] } ], "source": [ "print(cosmo.has_linear_power)\n", "print(cosmo.has_sigma)" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "Both of these status indicators are `False`, showing that CCL hasn't yet computer power spectra (transfer functions) or sigma(R); the cache is currently empty. When we calculate the power spectrum, though, the result will be stored (and splined) for future use.\n", "\n", "## Calculate the matter power spectrum\n", "\n", "Now, let's calculate the power spectra:" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "kmin, kmax, nk = 1e-4, 1e1, 128\n", "k = np.logspace(np.log10(kmin), np.log10(kmax), nk) # Wavenumber\n", "a = 1. # Scale factor a z=0" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "pk_lin = ccl.linear_matter_power(cosmo, k, a)\n", "pk_nl = ccl.nonlin_matter_power(cosmo, k, a)" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "<Figure size 640x480 with 1 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(k, pk_lin, 'b-')\n", "plt.plot(k, pk_nl, 'r-')\n", "\n", "plt.xscale('log')\n", "plt.yscale('log')\n", "plt.xlabel('$k\\quad[Mpc^{-1}]$', fontsize = 22)\n", "plt.ylabel('$P(k)\\quad[{\\\\rm Mpc}]^3$', fontsize=22)\n", "plt.xticks(fontsize=18)\n", "plt.yticks(fontsize=18)\n", "\n", "plt.show()" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "We can see that the cache has now been populated:" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "True\n" ] } ], "source": [ "print(cosmo.has_linear_power)" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "Subsequent calls to `linear_matter_power()` will be faster for the same cosmology (i.e. the same `Cosmology` object).\n", "\n", "### Power spectrum normalisation, sigma8\n", "We can also calculate the normalisation of the power spectrum, sigma8. Note that this parameter is currently undefined:" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "nan\n" ] } ], "source": [ "print(cosmo['sigma8'])" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "If we now call the `sigma8()` function, this value should be populated:" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "0.8402228551481183\n", "0.8402228551481183\n" ] } ], "source": [ "print(ccl.sigma8(cosmo))\n", "print(cosmo['sigma8'])" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "### Adding the impact of baryons\n", "The power spectrum can also be modified to include the impact of baryons. The overall effect will be to include a scale-dependence which will suppress the power spectrum at scales smaller than a few Mpc/h. Here is an example:" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "<Figure size 640x480 with 1 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pk2D_no_baryons = cosmo.get_nonlin_power()\n", "baryons = ccl.BaryonsSchneider15(14.25, 0.5, 37.)\n", "pk2D_with_baryons = baryons.include_baryonic_effects(cosmo, pk2D_no_baryons)\n", "\n", "pk_nl = pk2D_no_baryons(k, a)\n", "pk_nl_bar = pk2D_with_baryons(k, a)\n", "\n", "# Plot ratio of NL power spectra with/without baryons\n", "pk_nl = ccl.nonlin_matter_power(cosmo, k, a)\n", "plt.plot(k, pk_nl_bar/pk_nl, 'r-')\n", "\n", "plt.xscale('log')\n", "plt.xticks(fontsize=18)\n", "plt.yticks(fontsize=18)\n", "plt.xlabel('$k\\quad[Mpc^{-1}]$', fontsize = 22)\n", "plt.ylabel('F(k)',fontsize=22)\n", "\n", "plt.show()" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "### Cosmologies with neutrinos\n", "CCL supports equal and unequal neutrino mass cosmologies. We give some examples below of how to set them up and obtain power spectra for them. Note that for the emulator case, we only support equal-mass cases." ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [], "source": [ "cosmo_nu_eq = ccl.Cosmology(Omega_c=0.27, Omega_b=0.05, h=0.67, sigma8=0.8, n_s=0.96,\n", " m_nu=0.06, mass_split='equal') #sum of the neutrino masses = 0.06\n", "cosmo_nu_uneq = ccl.Cosmology(Omega_c=0.27, Omega_b=0.05, h=0.67, sigma8=0.8, n_s=0.96,\n", " m_nu=[0.02,0.03,0.04], mass_split='list') #sum of neutrino masses = 0.02 + 0.03 + 0.04\n", "\n", "pk_nl_nu_eq = ccl.nonlin_matter_power(cosmo_nu_eq, k, a)\n", "pk_nl_nu_uneq = ccl.nonlin_matter_power(cosmo_nu_uneq, k, a)" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "<Figure size 640x480 with 1 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(k, pk_nl_nu_eq, 'b-')\n", "plt.plot(k, pk_nl_nu_uneq, 'g--')\n", "plt.plot(k, pk_nl, 'r:')\n", "\n", "plt.xscale('log')\n", "plt.yscale('log')\n", "plt.xticks(fontsize=18)\n", "plt.yticks(fontsize=18)\n", "plt.xlabel('$k\\quad[Mpc^{-1}]$', fontsize = 22)\n", "plt.ylabel('$P(k)\\quad[{\\\\rm Mpc}]^3$', fontsize=22)\n", "plt.show()" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "## Example halo-model power spectrum calculation\n", "\n", "We will now calculate the halo-model matter power spectrum. We begin by defining a set of cosmological parameters. " ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [], "source": [ "cosmo = ccl.Cosmology(Omega_c=0.27, Omega_b=0.045, h=0.67, sigma8=0.8, n_s=0.96, \n", " Neff=0,m_nu=0,Omega_k=0,transfer_function='eisenstein_hu',\n", " matter_power_spectrum='linear')\n", "\n", "mass_def = ccl.halos.MassDef('vir', 'matter')\n", "hmf = ccl.halos.MassFuncSheth99(mass_def=mass_def,mass_def_strict=False,use_delta_c_fit=True)\n", "hbf = ccl.halos.HaloBiasSheth99(mass_def=mass_def,mass_def_strict=False)\n", "cM = ccl.halos.ConcentrationDuffy08(mass_def=mass_def)\n", "prf = ccl.halos.HaloProfileNFW(mass_def=mass_def, concentration=cM)\n", "hmc = ccl.halos.HMCalculator(mass_function=hmf, halo_bias=hbf,mass_def=mass_def)" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "Note that this time we have specified some choices about the mass function and halo concentration we will use. Consistency of halo definition is enforced for each mass function or halo concentration. The halo-model power spectrum calculation currently makes the assumption that haloes have the 'virial' definition for their masses, so a mass function and halo concentration must be chosen that are consistent with this assumption." ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "### Calculate the matter power spectrum\n", "Now, let's calculate various different types of power spectra." ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "<Figure size 640x480 with 1 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Wavenumber\n", "kmin=1e-4\n", "kmax=1e1\n", "nk=128\n", "k = np.logspace(np.log10(kmin), np.log10(kmax), nk) \n", "\n", "# Scale factor\n", "a = 1. \n", "\n", "# Calculate different P(k)\n", "pk_li = ccl.linear_matter_power(cosmo, k, a)\n", "pk_hm = ccl.halos.halomod_power_spectrum(cosmo, hmc, k, a, prf)\n", "\n", "plt.plot(k, pk_li, 'b-', label='Linear')\n", "plt.plot(k, pk_hm, 'g-', label='Halo model')\n", "plt.xscale('log')\n", "plt.yscale('log')\n", "plt.xticks(fontsize=18)\n", "plt.yticks(fontsize=18)\n", "plt.xlabel(r'$k\\quad[Mpc^{-1}]$',fontsize=22)\n", "plt.ylabel(r'$P(k)\\quad[Mpc]^3$',fontsize=22)\n", "plt.ylim([1e1,1e5])\n", "plt.legend()\n", "plt.show()" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "## Example of a modified gravity cosmology\n", "\n", "First set some default cosmological parameters." ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [], "source": [ "Omega_c = 0.25; Omega_b = 0.05; h = 0.7; A_s = 2.1e-9; n_s = 0.96; Neff = 3.046; m_nu = 0." ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "Set up some different mu_0 / Sigma_0 pairs." ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [], "source": [ "mu_0 = [0.3, -0.3, 0.3, -0.3]\n", "sigma_0 = [0.3, -0.3, -0.3, 0.3]" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "Set up the cosmology objects, including one where mu_0 = sigma_0 = 0, the GR case. We set the matter power spectrum type to linear the mu / Sigma parameterisation only supports linear scales." ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [], "source": [ "from pyccl.modified_gravity import MuSigmaMG\n", "\n", "cosmo_GR = ccl.Cosmology(Omega_c = Omega_c, Omega_b = Omega_b, h = h, A_s = A_s, n_s = n_s, \n", " Neff = Neff, m_nu = m_nu, matter_power_spectrum='linear')\n", "\n", "cosmo_1 = ccl.Cosmology(Omega_c = Omega_c, Omega_b = Omega_b, h = h, A_s = A_s, n_s = n_s, \n", " Neff = Neff, m_nu = m_nu,\n", " mg_parametrization=MuSigmaMG(mu_0 = mu_0[0], sigma_0 = sigma_0[0]),\n", " matter_power_spectrum='linear')\n", "\n", "cosmo_2 = ccl.Cosmology(Omega_c = Omega_c, Omega_b = Omega_b, h = h, A_s = A_s, n_s = n_s, \n", " Neff = Neff, m_nu = m_nu,\n", " mg_parametrization=MuSigmaMG(mu_0 = mu_0[1], sigma_0 = sigma_0[1]), \n", " matter_power_spectrum='linear')\n" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "Compute the linear matter power spectrum (support for this parameterisation is limited to the linear regime). Again, the matter power spectrum is only affected by $\\mu_0$, not $\\Sigma_0$." ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "data": { "image/png": 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L1nJi6AmGDx/OmTNn+O6775g7dy4///wzN/1uMvnoZKYcm8LsU7O5FnGNtZ3XYmtqm2d/zyL/q1evHv7+/gwePJgaNWowcOBAqlSpglqtJiwsjI0bNwL8Yxr+f1WoUIGBAwcyZ84cjh49yocfyt2/L6NSnr2FQuRrT1tixMXFvfJ/AiHE60lKT2LO6TlMPz6diOQIIOsuyu/qf4dPdR8O7D3ApEmTOH78ePYxLi4uDBgwgD59+mBf0p6YAzGELQwjens0msTnf4kyq25GsRbFsPnIBqsPrdAz1sv195ARnUH0rmiitkcRvSuazOjM7G16Vno4f+eMg58DazetZcyYMdy/fx/IunB75syZRJeIxmeTD0kZSZS1KcuW7luoUqJKrucsDFJTU7l37x6urq4YGxvrOk6eunjx4nPLLKlUKhwdHfnggw/w9fWlSZMmwP8vsxQREZE9ffnUkydPKFeuHLVq1eLAgQO6eBt56lU/Dzn9/JairACRokyI3KfRalh4biE/BPyQXYyVtSnLd/W/o1e1XuzdvZcff/yR06dPA1nLrrVv356BAwfStGlTMp5kEL44nLCFYaTeTc0+r0FxA2xa2GQVYs1tMCr1bi+i12ZqSQhMIGpbFBGbIki5mbWUk7GLMa6TXbFoZ8Fvv/3G5MmTSUhIAKBjx44MmzyMT3d+yr3Ye5gbmrOiwwo+rvTxO81eEBSloky8mhRlRZAUZULkroPBBxmyawiXHl8CoJxNOb5v8D2fVP2EXTt2MWHCBM6ePQtk3cX2xRdfMHz4cEoWL0n0nmjCFoQRtTUKJTPrn1E9Sz1K9iqJfR97LGpYvHIa8l1RtAqPlz/m7nd3s69ns6hjQfmZ5UmrkMb48eOZP38+Go2G8uXLs2TdEn649AMBwQEATGo8iW/rfyurATxDijLxLCnKiiApyoTIHfdi7jFy70g2Xs+6Jsba2JoJjSbwmddn7Ni2gwkTJnD+fFYzWDMzM/z8/Bg+fDhWGVaELQojbGEYaaFp2eez/MCSUgNKUaJLCfTMcn9aMrdokjXcn3mf0KmhaJO0ANh1sqPc1HLciL9Bhw4dCAkJwcLCgqUrlnJA/wC/n/4dgC5uXVj88WLMDAv+nYW5QYoy8azcKsrUeRlSCCHyk8T0RL4/8D2V/Suz8fpG1Co1X9T8gltf3sLxkSO1a9amQ4cOnD9/HnNzc0aPHs29e/cYP2g8MT/EcNL1JMFjg0kLTUPfRp/SQ0pT83JNahyrQanepfJ1QQagZ6qHyw8u1Lldh1L9S4EaIjdGcqryKSyWW3BizwkaNmxIQkICndp3otSFUsxrMw8DtQHrr63nw8UfEhL7z75VQojcISNlBYiMlAnxZrSKllWXV/HNvm94lPAIgCauTfj1o1/JeJjBkCFDOHr0KAAWFhYMHjyYr7/+GtN4U0J/DiV8SXj2FKXVh1Y4fO6AXUc79EzydxH2KomXE7kz4g4xe7Ka3BrYGVBxVUXG/z2eOXPmANCtWzf6T+jPJ5s/ISI5guKmxdnRcwc1HWrqMrrOyUiZeJZMXxYhz7bEuHXrlhRlQryGC+EXGLR9ECcfnATA1dqVXz76hfet3+eHH37gzz//RFEUTE1NGTZsGF9//TUmsSaE/BTC42WPs4sx66bWuIxzwbq+tQ7fTd6I3h1N0NdBJF9LBj2oMKsC29Tb+HLwl2RmZuLp6Yn/Cn/8jvhxPvw8VkZW7O61mzqOdXQdXWekKBPPkqKsCJKRMiFyLiUjhQmHJjD9+HQ0igYzAzO+b/A9X9T4gvlz5jNx4kTi4+MB6NmzJ1OmTKFYajFCfwolfHl4dmd9mxY2uIx1waqelQ7fTd7TpGi42f8mT1Y9AaDUwFKEdw2nc/fOREZGUqJECZavXc7EexM5GnoUC0MLdvfaTV2nujpOrhtSlIlnyTVlQgjxEkdCjuAxz4Mpx6agUTR0duvMzS9vUjW2KjU9ajJy5Eji4+OpWbMmx44dY+HkhSR8n8CpSqcIX5JVkBVrWQzP456473Yv9AUZgJ6JHpVXVKbs1LKggrD5YViOtyRwVyDu7u48efKENi3a0C2jGw2dG5KQnkCLFS04GnpU19GFKDSkKBNCFBrxafF8sf0LGixpwK2oW5QyL8WmbpuYUHUC/br2o23btty+fZuSJUuyaNEijgccx2GvA6feO8XjpY+zirHWxahxsgbVd1bHqm7hL8aepVKpKDOqDNW2VUPPUo+4o3E87viYPXP20KVLFzIyMhj82WDqhdSjiWsTEtMTabmiJYdDDus6uhCFghRlQohCYfut7VSZU4U/zvwBQH/P/pzte5aTS05SrVo1du/ejaGhId988w03b97E29SbM25nCB4fjDZFi1V9K2oE1qD69upY1inalwfYtralRmANTCqakBaaxo1mN5jdaTbjx48H4OfxP1M7qDbNyzYnKSOJVitbEXAvQLehhSgEpCgTQhRoEUkRfLLxE9qsbsOD+AeUtSnL/k/342PtQ8M6DZk6dSoajYa2bdty9epVvuv6HXfb3OVa92uk3U/DqIwRbmvd8DjkgWXtol2MPcuskhk1AmtQrGUxtClarne/jk+GDzOmzQBgysQpuF93p2W5liRnJOO9ypt9d/fpOLUQBZsUZUKIAmvd1XVU9q/M6iurUavUjKg7gmM9j7F+2noaNmzI7du3cXBw4O+//2bDwg1opmo4W/MscUfjUJuocfnRhdrXa1OiawnpVv8CBtYGVNtWDacRTgCE/hRKi6MtmDV1FgAzJs+g8qXKeFfwJiUzhbar27I7aLcuIwtRoElRJoQocOJS4/DZ5EO3Dd2ISomiesnqBPYPpEFaA2q612Tu3LkADBgwgCsXrlAjqAaBFQIJWxgGCpT4pAS1b9bGZawLeqYFu9dYXlPpqSg3vRyVllVCZaQiaksUH277kDkzsvqY/Wf6fyh7piztKrYjNTOVj9d8zI7bO3ScWoiCSYoyIUSBcjjkMNXnVmfFpRWoVWp+aPAD2z/ezszhM2nXrh0PHz6kfPnyHDhwgBkDZhDUNIg7I+6giddg7mWO51FP3Fa6YewkbQxeh72PPR4BHuhZ6RF3JI46f9Vh3i/zAJj9n9k4nnCkQ6UOpGnS6LC2A5tvbNZxYiEKHinKCgB/f3/c3NyoVauWrqMIoTPpmnTG7BtDoyWNCI0LpaxNWY70PkLFhxXxqObBmjVrUKvVjBo1ivMnz+O03Ylz758j6XIS+rb6vPfne3id8ioS7S3yilVdK9z3uaNvrU/88Xi81nrx529/olKpmDN7DsUPFadT5U6ka9LptK4Tyy4u03VkUQglJiYydOhQHBwcMDY2xsMj6///nLhw4QLe3t6UKVMGExMTihUrRt26dVmxYkUep84ZKcoKAD8/P65du8bp06d1HUUInbgecZ33F77PlGNTUFDo69GXvR33MuXLKfj4+BAVFYW7uzunTp1i9EejuVL7Cg9mPgDtf6cqr9emVN9SqNRy3djbsqxpift+d/SL6ZMQmID7CncWz1qMSqVi/h/zsdlvg6+7LxpFg+/fvvx68lddRxaFTMeOHVm6dCnjxo1j586d1KpVix49erBq1apXHhsbG4uTkxM///wzO3bsYNmyZbi4uODj48OkSZPeQfp/Jx39CxDp6C+KGkVRmHN6DiP2jiA1M5ViJsVY0HYBhncM6devH0+ePMHQ0JBx48YxbMAwQr8NzbpuDDByNKLi3IrYetvq+F0UTokXE7nQ9AKZUZmY1zDnZv+bfPrlp2i1Wvr07YNVFyt+DfwVgO/rf8+ExhMK1c0U0tFfN3bs2IG3tzerVq2iR48e2c+3aNGCq1evEhoaip7e618n+v777/Po0SNCQ0PfKJd09BdCFGphCWG0XtWaL3d+SWpmKi3KtSDQN5C9s/bStm1bnjx5QrVq1Thz5gwD3AZw3v18dkHm8IUDta7WkoIsD5m7m+MR4IFBcQMSzyXy3vz3WDlnJWq1msWLFvN4+WMmNJwAwKQjk/Db4YdGq9Fx6rynKApJ6Un55vG24y6urq74+vr+4/kmTZrQsGHDtzr3m9i0aRPm5uZ06dLluef79OnDo0ePCAwMfKPz2tnZoa+vnxsR34ruEwghxP/Yc2cPvf7qRURyBEZ6RkxvPp3aqtp4N/Dm1q1bAHz99deM+2oc90fc5+qGqwCYVDThvYXvFcpFw/Mj82rmeBz04EKTCyReSKScfznWzFvDJ4M+YfWq1XjHeTPr21kM2TuEP878QXRKNMs6LMNQz1DX0fNMckYy5pPNdR0jW+KYRMwMzd7o2KioKIKDg/n666+fe15RFM6dO0ffvn3fOJeiKGg0OSvSny2Wrly5QuXKlf9RQFWvXj17+wcffPDKc2q1WrRaLTExMaxfv57du3fz+++/v8Y7yBsyUiaEyDcytZl8f+B7Wq5oSURyRFari36BxO2N48N6H3Lr1i1Kly7Nvn37GNNgDJdrXiZiQwToQZkxZah5saYUZO+YmZsZHgc9MCxlSNLlJJx/dWbzks2YmJiwfft21n2zjoWtFmKgNmDt1bV8vOZjktKTdB1b5MCZM2cAqFmz5nPP3759m7i4OLy8vACIiIjA29sbMzMzKlasyN69e1957kOHDmFgYJCjR3BwcPZxUVFRFCtW7B/ne/pcVFRUjt7bF198gYGBASVKlGDYsGHMmjWLzz77LEfH5iUZKRNC5AuPEh7RY2OP7HUUP/P6jK8qfsWAzgM4fvw4AF26dMF/hj/Rk6K5suAKAGbVzai0tBIWHhY6y17UmVXKKswuNL5A8tVk7CbZsXvVbtr2bsvRo0dJGJjA0gVL6b+3P7uCdtFiRQu29diGjYmNrqPnOlMDUxLHJOo6RjZTA9M3Pvb06dPo6+vj4eHx3PNnz54FyC7K/Pz8sLe3JyIign379tG1a1eCgoKwtX355QNeXl45vnnNwcHhue//7drEnF63+O2339K/f3+ePHnC1q1b+fLLL0lKSmLEiBE5Oj6vSFEmhNC5Z6crzQ3Nmd9mPhnnM3i/5vskJCRgYWGBv78/7Sq040bTG6QEpYAKnEY44TrRFbWRDPrrmmlFUzwOeXCx8UWSbyRjPNyYAysP0Lpfay5evMgPPX5g2aplDAgYwPH7x2mwpAG7e+3GwcLh1ScvQFQq1RtPF+Y3Z86cwc3NDRMTk388b25uTsWKFUlMTOTvv//mzp07mJqa0q5dO9zd3dm8efO/Tm+am5v/o9h7mWenKm1tbV84GhYdHQ3wwlG0FylTpgxlypQBoHXr1gCMGTMGX19fihcvnqNz5AX5l0wIoTOZ2kx+OPBD9nSle0l3jvQ6wu6Zu/H19SUhIYEPP/yQi+cuUv9efc5/eJ6UoBSMHI1w3+9OuWnlpCDLR0zLm+Jx2APjssak3k0ltX8qAX8G4OLiwp07d/iqw1f8+eGflDIvxZUnV/Ca78WuoF26ji1e4syZM9SoUeMfzx88eBBPT0/UajW3b9/G3NwcJyen7O3VqlXj6tWr/3ruN52+rFatGtevXyczM/O5812+fBmAqlWrvtF7rV27NpmZmdy9e/eNjs8tMlImhNCJRwmP+GTjJxwKOQRkTVcOdB5Iz5Y9uXbtGmq1mvHjxzOs2zBu+dwi/mQ8ACW6l6DCnAoY2BjoMr54CRNXEzyPenLpo0skXU4iqlcU+5bso/337bly5Qr92vZj4YaFjL0xlqsRV2m1shVf1f6KKc2mYGJg8uoXEO9EeHg4Dx8+/McF9YcOHeLcuXMMHToUyGrk+r8tHiwtLYmMjPzX87/p9GWHDh1YsGABGzdupFu3btnPL126FAcHB+rUqZOjc/6vgIAA1Go1ZcuWfaPjc4sUZUKId27vnb30/Kvnc9OV6efSqd+tPsnJydjb27N61Wreu/se52qcQ5ukRc9Kj4pzKlLyk5K6ji9ewaiUER6HPLjc5jLxx+N5+MlDti3dRo9fenDixAl82vqwduNa9rjuYfap2cw6NYv99/azqtMqqpesruv4ArILpvXr1+Pm5kb58uW5cOEC/v7+ADx58oQrV65gbm5OfHz8c8fGx8djbv7vd6BaWFj84waCnGjVqhXNmzdn0KBBxMfHU758eVavXs2uXbtYsWLFcz3KDh06RNOmTRk7dixjx44FYODAgVhaWlK7dm1KlixJZGQk69evZ+3atYwcOVKnU5cg05cFgiyzJAoLraLlp8M/8dGKj56brtzzyx569+5NcnIyzZo14+yhs9j9bsfN/jfRJmmxamhFrYu1pCArQAxsDHDf406xlsXQJmsJ/iSYNZ+toUWLFiQnJ9OxXUdqR9Vmxyc7KGlWkqsRV6m1oBb/OfEftIpW1/GLvDNnzqCvr8/ChQuZNWsWXbt25cCBA2zZsoXy5csTEBBAQkICFSpUIDExkQcPHmQfe+XKFapUqZJn2f766y98fHwYO3YsLVu2JDAwkNWrV9OzZ8/n9nvadkOr/f+fp7p163Lq1Cn8/Pxo1qwZ/fv3Jzw8nOXLlzNt2rQ8y5xT0tG/AJGO/qIgi0uNw/dvXzbfzFqour9nfwa5DsKnu0/2dOWPP/7Il82+5EaPG6QGp6IyUOE6yRWn4U6o9ApPN/iiRJuu5UbvGzxZ/QRUUHZWWUYeGcm6desA8PHxYdy0cQwLGMbWW1sBaF62OUvaL8nXNwEU9o7+rVu3Jjw8nHPnzr1y3y5dumBlZcXs2bPZv38/Pj4+3L59Gzs7u3eQNH+Qjv5CiALjWsQ1ai+szeabmzHUM2RB2wXUj61P/ffrc+3aNezt7dm/bz+9LXtzscFFUoNTMXY1xvO4J2VGlZGCrABTG6qpvKIyDl84gAJ3B99lStUpjBs7DrVazfLly2lWtxmjnEbxh/cfmOibsPfuXqr/UZ1N1zfpOn6RdfbsWWrXrp2jfefMmcOjR4+wtbVl2LBhrF27tkgVZLlJijIhRJ7aeG0jdRbW4VbULRwtHdn7yV5O+J/A19f3+enK2XYEDQlCyVCw62iH1zkvLGvKiHBhoFKrqPB7BZx/cAYgZGwIvRJ6cfjQYVxdXQkODqZhw4Y82vKIwL6BeNp7EpUSRcd1HRm4dSApGSk6fgdFS2hoKE+ePMlxUVa8eHF27NhBcnIyt2/fpkWLFnmcsPCSokwIkSc0Wg2j942m8/rOJKYn0tilMZtabmJo56EsWrQItVrNxIkTWT9xPaEtQ4ncFInKQEX5WeWpsqEKBtZyd2VholKpcJ3gSvlfywPw4D8PsJ5lzZmDZ/j006yFzCdOnMiADgNY0WgFoz4YhQoVC84toO6fdQmKDtLxOyg6ypQpg6Iob7WMkngzUpQJIXJdZHIkLVe2ZOqxqQCMqDuCUaVG0bJ+S86fP4+dnR179+ylt9V/pyvv/f90peNgxxx35RYFj+MQRyotq4RKX0XE+ghu1r/Jb/1+Y82aNVhbWxMYGEhtr9pUelCJ3b12U9y0OBcfX8Rrvhd/Xf9L1/GFyFNSlAkhctW5sHPUnF+TfXf3YWpgyupOq7E9Z4t3K2+ioqKoVasWpwNOU2JOCYK+kunKosjexx7Po54YlzMmLTSNC40uUOtiLS6euUjDhg1JSkqib9++zB89nwPdDlDPqR7xafF0WteJ4buHk6HJ0PVbECJPSFEmhMg1Ky+tpN6ieoTEhVC+WHkO9DjA+nHrGTNmDFqtln79+rHz952EfxxO5F8yXVmUWdaxpOaFmtj3swcFQieH8qTbE7bO2cqUKVPQ19dnw4YNtKrXisnvTWZ43eEA/HLyFxotbcSD+Af//gJCFEBSlAkh3trT68d6bepFamYq3hW8WdlwJb1b9+avv/7CwMCAefPm8VPjn7ja6Cqpd/87XXlMpiuLMn1zfSotrESVDVXQt9En8Wwi52udx6eYDydOnKBixYo8ePCAJo2a4HTdiY1dN2JpZMnx+8fxnOfJ3jt7df0WhMhVUpQJId5KfFo87de2z75+bMyHY+hr0pdmHzbjxo0blC5dmkMHDtH4WmOu97qONkVLsVbF8DrrhWUtma4UULxTcWpdroV1U2u0yVpuDbyF0SQjTu4+SdeuXcnMzGTo0KGs+mEVh3ocwsPeg8jkSD5a8RE/HvwRjVaj67cgRK6QokwI8caCooN4f+H7bLu1DWN9Y5a3X47qgIpOHTuRkJBAgwYNCNwZiPG3xjz87SEAzj84U21rNVm7UjzHqLQR7nvcKTejHCpDFVGbo7he9zpz+s1h9uzZGBgYsHHjRro068LcWnMZUGMACgrjD43He5U3qZmpun4LQrw1KcqEEG/kwL0D1F5Qm+uR13GwcGBHlx2s+W4NP//8MwBDhw7lr0l/EdIyhLgjcehZ6lF1c1VcJ7hKM1jxQiq1CqfhTtQIrIFpZVPSw9O53PIy3k+8OXzwMGXKlCEoKIhG9RrxfsT7LG2/FBN9E3bf2c0PB37QdXwh3poUZUKI16IoCv6n/GmxvAUxqTHULl2b9c3X49fej+3bt2NsbMyK5SsY8d4IrjS9QvqjdEzdTPE65YVdO+nyLV7NwsMCr7NeOHyetQpAyMQQjMcac2r3KVq1akVqair9+vXj4G8HWdZ2GQAzT8zkYPBB3QYX4i1JUSaEyLF0TTqDtg/iy51folE09Krei/HO42nTsA3Xr1+ndOnSHN57GK8DXtwedBslQ6F45+LUOFkD0/dMdR1fFCB6JnpU/KMilVdWRm2mJnZ/LHea3mHl6JVMmjQJtVrN4sWLmdBrAl3KdUFBwfdvX+JS43QdXYg3JkVZAeDv74+bmxu1atXSdRRRhEUmR9J8eXPmnZ2HChVTm02l9oPatG3VlpiYGOrUqcPxv4+jGqoifHE4qKHstLK4rXND30Jf1/FFAVXyk5J4nfLKms58lM7FJhfxMfJh7569lChRgsuXL7Nr6C4czRwJjQtlyK4huo4sxBuToqwA8PPz49q1a5w+fVrXUUQRdSPyBnUW1uFwyGEsjSzZ1GUTd5bd4auvvkKj0eDj48PWyVu5732fxLOJ6NvqU313dcqMLCPtLsRbM3Mzo8apGpT4pARo4O7IuxSfXZwzB89Qq1YtEqISsNxniVqlZunFpdL5XxRYUpQJIf7Vvrv7eH/h+9yNuYurtSvbO2znl0G/MH/+fFQqFdOmTWNq46lca3mNjCcZmFU3w+uMF8WaFdN1dFGI6JvrU3lFZSr8USH77syH3g9ZOW4llpaWXNt9jXpKPQAGbh1IeGK4jhOLdy0xMZGhQ4fi4OCAsbExHh4erFmzJkfHXrhwAW9vb8qUKYOJiQnFihWjbt26rFixIo9TP0+KMiHESy04u4CWK1oSlxZHPad6LPpgET4tfTh8+DCWlpZs27yNDmEduNn3Jkp61nJJnsc8MXEx0XV0UQipVCpKf14az2OeGLsYk3ovlUedHrGk8xIAjv98nIqWFYlKiaLfln4oiqLbwOKd6tixI0uXLmXcuHHs3LmTWrVq0aNHD1atWvXKY2NjY3FycuLnn39mx44dLFu2DBcXF3x8fJg0adI7SJ9FpchPbYERHx+PlZUVcXFxWFpK002RdzRaDd/s+4aZJ2YC0LNaT9qr29O7V2+SkpIoV64cm1duJnNcJjG7YwBwHueMy1gXVGqZrhR5LyMmgxuf3iBqWxQAOz/YybTj03Ct48qjNo9I06Qx13sun9X8LE9ePzU1lXv37uHq6oqxsXGevIbIuR07duDt7c2qVavo0aNH9vMtWrTg6tWrhIaGoqen99rnff/993n06BGhoaH/ut+rfh5y+vktI2VCiOckpSfRaV2n7IJsfMPxeNz1oGvHriQlJdG0aVOOrDpCom8iMbtjUJuocVvnhut4VynIxDtjYGNA1c1VKT24NABtbrahUolK3Au8R634rJuivt7zNUHRQe80l6IoaJI0+ebxtuMurq6u+Pr6/uP5Jk2a0LBhw7c6d27atGkT5ubmdOnS5bnn+/Tpw6NHjwgMDHyj89rZ2aGv/+5uVJJbooQQ2R7GP6Tt6racDz+PkZ4RC9os4OgfR5k/fz4An3/+OT+2/ZGbLW6iidNg5GRE1c1VsfC00HFyURSp1CrKTS9H7KFYki4l8Xvt32n2pBlHZxzFfaY7F+Mv4rPJhyN9jqCvfjcfd9pkLUfMj7yT18qJ+on10TN7/REigKioKIKDg/n666+fe15RFM6dO0ffvn3fOJeiKGg0OVseKydF0ZUrV6hcufI/9q1evXr29g8++OCV59FqtWi1WmJiYli/fj27d+/m999/z1HO3CAjZUIIAM6FnaP2wtqcDz9PcdPibO64maUjlmZf0P+fX/7DtxW/5Vrba2jiNFh+YInXaS8pyIROqY3UVF5RGZWhCr1TekxvNB0UCJ8bjoWhBScfnGTq0am6jlkgnTlzBoCaNWs+9/zt27eJi4vDy8sLgIiICLy9vTEzM6NixYrs3fvqheIPHTqEgYFBjh7BwcGvPF9UVBTFiv3z5qKnz0VFRb3yHABffPEFBgYGlChRgmHDhjFr1iw++yxvpsBfREbKhBBsubmFHht7kJyRjFtxN/zr+TOo0yBu3LiBmZkZq5evpuKOitxZeAcA+z72VPyjImoj+b1O6J55NXPK/lyWOyPuUPt0bT5w/oDjt47zfsj7nCx1kvGHxtOyfEu8HLzyPIvaVE39xPp5/jo5pTZ98/9HT58+jb6+Ph4eHs89f/bsWYDsoszPzw97e3siIiLYt28fXbt2JSgoCFtb25ee28vLK8dtnhwcHLK/zszMfG6bnp5edtudf2u/k9PWPN9++y39+/fnyZMnbN26lS+//JKkpCRGjBiRo+PflhRlQhRxswJnMXTXUBQUmpdtzvAyw+nSrAuRkZE4OjqyeeVm1D+qCTsQBmooN6McjkMdpf+YyFcchzkSuTWSuENxTC47mWbqZpycd5LaM2pzKvEUvTb14tzAc5gY5O2dwSqV6o2nC/ObM2fO4ObmhomJyT+eNzc3p2LFiiQmJvL3339z584dTE1NadeuHe7u7mzevPlfpzfNzc3/Uey9zNMpyeDgYFxdXZ/bFhAQQKNGjbC1tX3haFh0dDTAC0fRXqRMmTKUKVMGgNatWwMwZswYfH19KV68eI7O8Tbk11whiiiNVsOwXcMYsmsICgoDagygp6on7Vq0IzIyEi8vL46uPUrGwAxiD8SiZ65HtS3VcBrmJAWZyHdUahWVl1ZGz0IP7WUtcxvNBeDGjBuUMC3BjcgbTDs2TccpC5YzZ85Qo0aNfzx/8OBBPD09UavV3L59G3Nzc5ycnLK3V6tWjatXr/7rud9k+tLBwYHTp08/93g6WletWjWuX7/+j5G0y5cvA1C1atU3+juoXbs2mZmZ3L17942Of10yUiZEEZSSkUKvTb2yO5//3ORnUval0HtCbyCr34//Z/4EtQsiMyoTIycjqm2rhnl1cx2mFuLfGTsbU+H3CtzwvUG5w+X4uPLHbL6+GZdzLjyp9ITpx6fzWc3PsDe313XUfC88PJyHDx/+48L5Q4cOce7cOYYOHQpkNWz93xYPlpaWREZG/uv532T60tDQ8B/Xtz3VoUMHFixYwMaNG+nWrVv280uXLsXBwYE6derk6LX+V0BAAGq1mrJly77R8a9LijIhipiIpAjarWnHyQcnMdQzZIH3AnbP2J3dYPGbb75hSKUh3GxzEyVDwaKWBVU3V8WolJGOkwvxaiV9ShK5OZLIvyIZkTGCg8YHubTmEi4TXQjOCGZcwDjmtZ2n65j53tOCaf369bi5uVG+fHkuXLiAv78/AE+ePOHKlSuYm5sTHx//3LHx8fGYm//7L3AWFhYvLbDeRKtWrWjevDmDBg0iPj6e8uXLs3r1anbt2sWKFSue61F26NAhmjZtytixYxk7diwAAwcOxNLSktq1a1OyZEkiIyNZv349a9euZeTIke9k6hJk+lKIIuVW1C3q/lmXkw9OYmNsw8aPN/Ln0D9ZtWoV+vr6/LngTwbqD+Rmn6yCzK6THR4HPaQgEwWGSqWi4ryKGJQ0IDMokz/r/gnAoyWPAFh4fiFXn/z71JrImrrU19dn4cKFzJo1i65du3LgwAG2bNlC+fLlCQgIICEhgQoVKpCYmMiDBw+yj71y5QpVqlR555n/+usvfHx8GDt2LC1btiQwMJDVq1fTs2fP5/Z72o5Dq9VmP1e3bl1OnTqFn58fzZo1o3///oSHh7N8+XKmTXt3097S0b8AkY7+4m0cCz1GuzXtiE6JxtXalXkN5jG4x2Bu3ryJpaUlG1dtpNSyUkSsiwCgzJgyuE6ShrCiYIraEcVl76zriVZ5rWLB2QXYD7En3CYc7wrebPtk21udv7B39G/dujXh4eGcO3fulft26dIFKysrZs+ezf79+/Hx8eH27dvY2dm9g6T5g3T0F0Lk2Lqr62i6rCnRKdHULl0b/xr+9GrZi5s3b+Lk5MThzYexmWhDxLoIVAYq3lv0HmV/LisFmSiwbFvbUuqzUgD0etgLS7Ul4SvC0VPpsf32dgLuBeg4Yf529uxZateunaN958yZw6NHj7C1tWXYsGGsXbu2SBVkuUmKMiEKMUVRmH5sOt02dCNNk8bH733McNvhdPqoE0+ePMHDw4NDyw+R3DuZhMAE9G30cd/rTqk+pXQdXYi3Vm5GOUzKm6AN1zKr3CyIAtu7Wb2zRuwdgVbRvuIMRVNoaChPnjzJcVFWvHhxduzYQXJyMrdv36ZFixZ5nLDwkqJMiEJKo9UwZNcQRu0bBcCQOkNo9LgR3Tt1JyUlhVatWrH9p+08bP+QtJA0TMqbUONkDawbWus2uBC5RN9cn0rLK4EanG8709SkKU/WP8FEbcK5sHOsurxK1xHzpTJlyqAoylstoyTejBRlQhRCKRkpdN3QldmnZqNCxYzmM1DtVjFs6DAUReGzzz5jYbeF3G5/m8zYTCzrWuJ5whPTiqa6ji5ErrJ63wqnkVk9tIabDUcvWQ+jU1k3rnx34DtSM1N1GU+I50hRVgD4+/vj5uZGrVq1dB1FFADRKdG0WNGCv67/haGeIUvbLuXYjGP8+uuvAEyZPIXRpUdzq/ctlAyF4p2L477fHUM7Q90GFyKPOH/rjEFxA0wiTehl1YvYXbFYqawIjQtlVuAsXccTIpsUZQWAn58f165dy3GjPVF0hcSG8OGiDzkaehQrIyvWtV3HHL85bNq0CUNDQ1YvX83HQR8TPDYYAKcRTritdUPPpHAsCyPEi+hb6uMy3gUAH60PppmmZOzKAODnIz8TmfzvjU6FeFekKBOikLgYfpG6f9bleuR1HC0dWd18NSO7jOTkyZPY2Niwd/NeKi+vTPif4aCGCv4VKDe9nNxhKYqEUgNKYVLRBL0EPYaUGELyyWSKa4oTlxbHxEMT3/i80lVKQO79HEhRJkQhsO/uPuovrk9YYhjVSlRjbs259G7dm9u3b+Ps7MzhjYcx+caEmD0xqE3VVN1cldJflNZ1bCHeGbWBmnLTygHQPLY5dood0WuyFquec2YOQdFBr3W+px3iMzIycjeoKJCe/hw8u3LAm5CiTIgCbsWlFbRa2YqE9AQauzRmrONYurXqlt3yIuDPAOJ94km6lIShvSGehz2xayM9hETRY9vOFqv6VqjSVfzg8AOa2xrsE+3J1GYyZv+Y1zqXgYEBRkZGxMXFyWhZEacoCnFxcRgZGWFgYPBW55K1L4UooBRFYfrx6Xyz7xsAulftTuO4xnTv0B2NRkPz5s1Z9OUi7nW4hyZBg6mbKdV3VMfYufB1HxciJ1QqFeVmlONcnXNUD6tOOcpxZ9kd1F+o2XBtAyfun6CuU90cn8/Ozo6HDx/y4MEDrKysMDAwQKWSywGKCkVRyMjIIC4ujsTEREqXfvvZBynKhCiAtIqWYbuGMetU1p1jw+sOx+KkBZ+N+wwAHx8fJjedTFDnIJQMBetG1lTZVAUD67f7LU6Igs6ytiXFuxUnYm0EExwm0PNRT4o/LM7j0o8ZsXcER/sczXFh9XS5nMjISB4+fJiXsUU+ZmRkROnSpXNl+cPXLspOnz7N/v37MTIyomXLllSuXBmA9PR0Zs6cyebNm4mIiKB8+fIMGDCAzp07v3VIIcT/S8tM49O/P2Xd1XUAzGg+g5tLbjJzwUwAxowew2fWn3G7920AincrTuWllVEbydUKQgCU/bkskX9F4vDIgXqG9Ti25hhGI4w4fv84qy6vomf1nq8+yX9ZWlpiaWlJRkYGGo0mD1OL/EhPT++tpyyf9VoLko8aNYqZM2c+F2bu3Ln06dOHdu3asX379udPrlIxYsQIpk6dmmuBizJZkFzEp8XTYW0HDtw7gIHagPmt57Nx/Ea2bduGSqXi91m/0/xmcx7+nvVbu+NwR8pNkzsshfhfQcODePDLAxJKJND+SXusO1oTXT0aQz1D/u72N60qtNJ1RFGI5PqC5Nu3b2fGjBmYmprSp08fBg4ciLm5OX5+fixZsoTt27fTv39/Dh06xLVr1/j999+xsrJixowZHD9+PFfelBBFWXhiOI2WNOLAvQOYG5qzus1q5vrNZdu2bRgbG7Nx1UYaHGiQVZCpoNx/ylF+RnkpyIR4AefvnNG31sfiiQWdzTsT/Xc0HoYepGvS6bC2A3vu7NF1RFEE5XikrG3btuzYsYMjR47wwQcfAHDhwgW8vLwwNTWle/fuLFiw4Lljtm3bRrt27fj0009ZsmRJrocvamSkrOi6HXWbj1Z8xL3Ye5QwK8Gfjf9k+CfDuXXrFsWKFWPLyi2YTDIh/lg8KkMVlZdXpkTXErqOLUS+dn/mfe6MuEOGVQbt4tphXtKc92e8z7Y72zDWN2Zbj200LdtU1zFFIZDrI2WnT5+mZs2a2QUZgIeHB3Xr1iU5OZnBgwf/45g2bdpQrlw5GSkT4i2ceXSGeovqcS/2HuVsyvHnB38yoM0Abt26RZkyZTi87jAGwwyIPxaPnpUe7nvcpSATIgdKf1kaYxdjDOIM+NzucyIfR2K5x5I2FdqQmplK29VtCbgXoOuYogjJcVEWHR1N2bJl//G8s7MzABUqVHjhce+99x6PHj16w3hCFG177uyh0ZJGRCRHUKNUDaZVmkbPVj0JDw+natWqBCwIIM4njuQbyRg5GuF51BPrhta6ji1EgaA2UuM62RWAdkntsFXZsmr5KooHFKdV+VakZKbQZnUbDocc1nFSUVTkuCizsLAgOTn5H88bGmYtYmxiYvLC46ytrdFqtW8YT4iia+WllXiv8iYpI4lmZZsx1GooPdr2ID4+ngYNGrBj0g4edn5Ielg6ZlXN8DzhiXlVc13HFqJAKdGtBBa1LFClqFjaZClqtZrFCxdT+mhpPir3EckZybRe2ZqjoUd1HVUUATkuykqWLPnCPiwNGzakb9++Lz3u8ePHFC9e/M3SCVFE/efEf+i1qReZ2kx6VO1B2/i2+PbwJT09nQ4dOrCy/0rudrmLJkGDdSNrPI54YOwoTWGFeF1PG8oCmB00Y8VPK1CpVCycuxCXky40c21GUkYSrVa24sT9EzpOKwq7HBdl1atX5/Lly/8YLevdu/c/LvB/Kj09nTNnzlC+fPm3SylEEaEoCmP2jeHrPV8D8FWdr3A978qQL4egKAqfffYZvzb4lSDfrKawxbsUp/qu6tIUVoi3YN3AGtt2tqCBckvLseQ/S1CpVMzzn0fFcxVp4tKExPREPlrxEYEPAnUdVxRiOS7KmjRpQtmyZbl8+XKOT75mzRri4uJo0KDBG4UToijJ1GbSf0t/phybAsBPjX8icUMiP//0MwA/jv+RkdYjuTvsLihZFym7rXaTprBC5IIKsytg5GhE8o1kKs2vxKKZiwCY89scqlyqQkPnhiSkJ9BiRQvOPDqj47SisHqt5rGv6+zZszx48IBatWrh4OCQVy9TZEhLjMIrJSOF7hu7s+XmFtQqNbNbzGbXz7vYunUrarWaP37/g/qB9Xm89DEArj+5UmZMGVlnT4hclByUzIWGF0h/lI5ZNTMu9r7IgOEDABg6aihn3jvD0ftHcbZy5rrfdUwMXnwttRD/K9dbYrwJLy8vPv74YynIhPgXsamxfLTiI7bc3IKRnhFLWy9l1YhVbN26Nasp7MqNvL/t/ayCTA/e+/M9nL91loJMiFxmWt4UjwAPDEsZknQ5Cfdl7sydOheAX6f9Su2g2jhaOhISF8KM4zN0nFYURjLvIYQOhSWE0XBJQ46EHsHSyJKVrVYytc9Ujh07hpWVFbvX7cbpVyeid0SjNlFT9e+qlOpbStexhSi0TCua4n7AHYOSBiRdTMJrjRe/T/kdgF8m/0Lt2NoATD46mftx93UZVRRCUpQJoSNB0UHUW1SPS48vUdKsJMsbL2d4p+FcuXKFUqVKEbAmAKORRiQEJqBvo4/7fnfs2tjpOrYQhZ5ZJTM8DnhgUNyAxPOJ1Flfh1k/zwLgrwl/4ap2JSUzhZF7R+o4qShs3viassOH310zvapVq1KsWLF39np56caNG7i7u5Oens7OnTtp2bJljo+Va8oKj/Nh52m5siVPkp5QzqYcMz1mMqDzACIiIqhQoQJbf9tKVP8o0h+lY+RkRPXd1TGrbKbr2EIUKYlXErnY+CIZkRlY1LbgcJvDfD32a/Qd9dEO0KJVtBzqfYgGznIzm/h3Of381n/TF2jUqNE7u6Zl06ZNtGvX7p28Vl4bNGgQBgYGpKen6zqK0JGDwQdpt7odCekJeNh78F2Z7+jl3YvExERq1KjBxvEbefDJAzJjMzGtYkr1XdWlB5kQOmBe1Rz3/e5caHyBhFMJNFA3oG3Ttmzdv5Uyj8sQWiKUr3Z+xdmBZ9FT6+k6rigE3nr6UlGUPH0UJsuWLSMwMJARI0boOorQkb9v/E3LFS1JSE+gkUsjhloNpWf7niQmJtKkSRM2jdpEaNdQMmMzsaxniecRTynIhNAh8+rmuO9zR99Gn4STCXwT/Q0WehaELgnFXM+ci48vsuDci3t1CvG63nik7Klu3bpRqVKl3MjyDz/++GOenFcXYmJiGDlyJGPGjMHJyUnXcYQOLD6/mP5b+6NVtLSv1J7GUY3p06cPiqLQuXNnfmnxC3d63gEN2LaxxW2tG3qm8tu3ELpm4WmB+153Lja7SMb5DOaXnU+Puz0wDTQlsWYi3x/4nq5VulLMpHBcZiN0562Lsh49euTZ1GJhKspGjx6NhYUFo0aNYvXq1bqOI96xGcdnZF8U3MejD44XHBkyfggAn3/+OaNdRnNn4B0ASvqW5L0F76E2kPtwhMgvLLwsqL67Ouc/PI/9XXs+svqI3Tt2U7J2SR6nPGZcwDhmt56t65iigCsS/+onJyezc+dOJk2aRMeOHXF2zurxpFKpGD9+fI7OkZCQwPjx46lWrRrm5uZYWVlRq1YtZs6c+crrw06ePMmCBQuYNWsWRkZGufCOREGhKAqj943OLshG1B2ByV4TJo6fCMC4seMYbjace6PvAeA00olKiytJQSZEPmRZ2xLHoY4ADDcajoHWgIS1CQD8ceYPLj/O+Yo3QrzIW42UvYtrvnLjNU6dOkXr1q3f+PiQkBAaNWpEcHAwAKampqSlpXHmzBnOnDnDypUr2b9/PzY2Nv84VqPR8Pnnn9O2bdu3yiAKHo1Ww+fbPmfh+YVA1rJJV+ZeYfXq1ahUKmb/Opsm55rwYOkDAMpOK0uZkWV0GVkI8QrO3zvzePljCIchpYcw4+oMnL2dCTENYciuIez/dL80dhZv7I1/HY+JiSEmJiZPC43cfA0bGxuaNm3KyJEjWb16Nfb29jk6TqPR0LZtW4KDgylVqhR79+4lKSmJ5ORk1qxZg4WFBefPn6dnz54vPP63337j1q1b/Prrr2/9HkTBkZqZStcNXVl4fiFqlRr/j/w5MvkIq1evRl9fn1WLV9Fgb4P/79K/+D0pyIQoAPQt9Sk7pSwA3jHeFKMYIfNDMFIbERAcwF/X/9JxQlGQvXFRZmVlhZWVFfr6b31ZWp6/Rv369YmOjmbfvn1MmzaN7t2753gaccmSJdmLsG/cuJFmzZoBoFar6datG/PmzQNg586d7N+//7lj4+LiGDduHL169UKj0RAUFERQUBBPnjwBICwsjKCgIDQazVu9P5G/JKQl4L3Km7+u/4WhniGLWy1mxdcr2LVrF6ampmxdtZWKCyoStS0KtbGaqpuqUqq3dOkXoqAo6VMSi9oWkAxTyk6BWLC7ldXYefie4aRkpOg2oCiwisSFK3p6b34H29KlSwFo3LgxdevW/cf27t274+rqCmS1vHhWTEwMiYmJLFiwgAoVKmQ/vvnmGwD69u1LhQoViIiIeON8In+JSIqgybImHLh3AHNDc1a0XMH0vtM5ceIENjY27F2zF9sJtsQfi0ffWp/qe6tj11a69AtRkKjUKirMrgBAhbsVqGFcg4drH1JMrxghcSFMPz5dxwlFQZV3w1yFQHJyMseOHQOgVatWL9xHpVLRsmVL/vjjD/bs2fPcthIlSrB+/fp/HHPw4EH8/f357rvv8PDweOG1aKLguR93nxYrWnAj8gZ2pnbMbzCf4V2Hc+/ePUqVKsXOP3eS4pdC0r0kDEsZUn13dcyrmes6thDiDVjWtsS+tz3hS8L50e5H2j1oh2aXBprDlKNT6O3RmzJWckmCeD1SlP2L69evo9Vqgaylnl7m6bbw8HCio6Ozl4QyNTWlc+fO/9g/MTERgA8//PC1llkS+dfNyJs0X96c+/H3cbJ04reavzHo40E8fvyY8uXLs+23bUT2iSTjcQbG5Yxx3+uOiauJrmMLId6C62RXIjZGYP7AHJ8SPiw7tgynJk7c5z4j945kbee1uo4oCphcn768f/8+5cqVo1y5cmzfvj1Hx2zfvp2yZctSoUIFwsPDczvSG3v06FH216VLl37pfs9ue/aYt5WWlkZ8fPxzD5H/nAs7R/3F9bkff5/3bN/jlyq/0LtNbx4/foyHhwd7ZuzhySdPyHicgZm7GTWO1ZCCTIhCwMjeCOexzgD4pvtihhlhi8JQq9Ssu7qOg8EHdRtQFDi5XpStWrWKe/fukZCQkONRoI8++oikpCTu3r2brxqrJiQkZH9tamr60v2e3fbsMS/Tu3dvFEV55d/P5MmTs292sLKykpUA8qHDIYdpvLQxEckR1ChVgx9K/4DPxz7Ex8fToEEDNo/ezP3u99HEabCqb4XHQQ8MSxrqOrYQIpc4fuWISUUT1LFqxrqMJfNhJk6Ps/6tHrxzMJnaTB0nFAVJrhdlAQEBqFQqvL29c3yBvb6+Pm3atEFRFPbt25fbkQqsMWPGEBcXl/24f/++riOJZ2y7tY2PVnxEfFo8DZ0b8rnJ5/h28SU1NZW2bduy/NPl3O15F22qFtu2tlTfXR0DawNdxxZC5CK1oZryv5YHoPaD2rjouRCyOAQLPQuuPLnCnNNzdJxQFCS5XpRduXIFgJo1a77WcV5eXs8dnx9YWFhkf52cnPzS/Z7d9uwxb8vIyAhLS8vnHiJ/WHlpJe3XtCc1M5W2FdvSNr4tAz8diEajwcfHh9mNZnO3/13QZN0+X2VjFfRMZB1LIQoj21a2FPMuBpkw1WkqpIDJiaxLFMYGjOVJ0hMdJxQFRa4XZZGRkQCULFnytY4rUaIEQL5qD+Hg4JD99cOHD1+637Pbnj1GFE6/n/qdXpt6oVE0+FT3wfOWJyOGjADgq8FfMb7MeO4Nz1o2yXGoI5WWyLJJQhR25f9THpWBihLBJWhl3YonO59QWlWauLQ4vt3/ra7jiQIi1z8pnjZ6TU1Nfa3jXnf/d6Fy5cqo1Vl/Rf82gvd0m729ffadl6LwURSFCYcmMHjnYAAG1x6M9UFrJoyfAMCP437EL8OP0J9CAXD9yZVyv5RDpZYlV4Qo7EwrmOI4LGtdzGGGwzBQDIheGQ3AovOLOPXwlC7jiQIi14uy4sWLA3Djxo3XOu7p/nZ2+aeRpqmpKfXq1QNg165dL9xHURR2794NQIsWLfIkh7+/P25ubtSqVStPzi9eTatoGbZ7GOMOjgNgbP2xxKyOYfas2QDM/mU2nW925tHcR6CCCn9UwPlbZ1kDT4gixPl7ZwztDTF4YsCwMsNIuZWCa7wrCgpf7vgSraLVdUSRz+V6Uebl5YWiKKxfvz67x9eraDQa1q1bh0qlwt3dPbcjvRVfX18g6waGwMDAf2xfv349d+/eBeDTTz/Nkwx+fn5cu3aN06dP58n5xb/L1GbSd3Nffgv8DYCZzWZy4bcLrFi+Aj09PVYsXEGDvQ14suYJKgMVbqvdKP35y1uoCCEKJ30LfcpOzVoXs1VkK+yw4978e5jqmXL60WmWXFii24Ai38v1oszb2xuAoKAgJk6cmKNjJk2aRFBQEABt2rTJ7UhA1pJHkZGR2Y+nBWNycvJzzz9t7PqUr68v1apVQ1EUOnXqlL2+pVarZf369QwYMADI6vjftGnTPMkudCc1M5Uu67uw9OJS9FR6zPtoHlu/38qWLVswNjZm0/JNVF5cmeid0ahN1VTbWo0S3UroOrYQQkdK9iqJ5fuWkAzTyk+DRLC+aA3A6H2jiU2N1Wk+kc8puSw9PV1xcnJS1Gq1olarFT8/PyUiIuKF+0ZERChffPFF9r6lS5dWUlNTczuSoiiK4uzsrACvfPj6+v7j2Hv37ikuLi7Z+5iamirGxsbZ33t6eirR0dF5kvtZcXFxCqDExcXl+WsJRYlPjVeaLm2qMB7FaKKRsjRwqeLl5aUAioWFhRLwV4Byyv2UEkCAcsT6iBJ7LFbXkYUQ+UDc6TglQBWgBBCg1DWvq6CHUnJiSYXxKEN2DtF1PKEDOf38VimKouR2oXf48GGaN29OZmZW0zwjIyM++OAD3NzcMDc3JzExkWvXrnH8+HHS0tJQFAUDAwN27txJkyZNcjsOAC4uLoSEhLxyP19fX5YsWfKP5xMSEpgxYwZ//fUX9+7dQ61WU7FiRXr06MHgwYMxNMz7hqDx8fFYWVkRFxcn7THyWHRKNK1WtuLUw1OYG5qzsOlCxvuO58aNG9jZ2bFz8U40wzSkBKVgUNIA9z3umFeXdSyFEFluDrxJ2IIwUhxTaPOgDWbuZiR0SEBPpceFzy9QtcTLl+4ThU9OP7/zpCgD2Lp1Kz4+PtlLA73oguenL21pacnSpUv5+OOP8yJKgefv74+/vz8ajYZbt25JUZbHHiU8osXyFlyNuEoxk2LMqz+P4d2HExoaipOTEzvm7CD+s3jSH6Vj7PrfdSzLybJJQoj/lx6RzqmKp8iMzWRd6XX88fAPXEa7EGwcTCOXRhz49IDcCFSE6LwoA3jw4AGTJ09m1apVxMXF/WO7lZUVPXv25JtvvpElhHJARsry3t2YuzRf3py7MXcpZV6K2bVn80XnL3jy5AkVK1Zk6/StPOnzhMzoTEyrmOK+xx0jByNdxxZC5EMP/R9y+8vbYAEfJ3xMvHU8Rl8bkaZNY23ntXSt0lXXEcU7ki+KsqcUReHSpUvcv3+f+Ph4LC0tcXR0xN3dXX5TeA1SlOWtK0+u0GJ5C8ISwyhrU5bJlSczsMtA4uLi8PDw4K/v/+JB7wdoEjVY1LGg+o7qGBSTZZOEEC+mzdRy1ussSZeSuFb+Gn5Bfjj1cuJ++fs4Wjpyw+8GZoZmuo4p3oF8VZSJ3CFFWd4JfBBIq5WtiEmNoWqJqowpPYb+3fuTkpLChx9+yPLPlhPSLwQlXcGmmQ1VNlVB31xf17GFEPlc7OFYLjS8ACoYYjSES5mXsBtvR2RmJN/V/45JTSbpOqJ4B3L6+S1rv4gi78C9AzRb3oyY1BjqlK7D1zZf07tzb1JSUmjZsiUrfFYQ7BuMkq5g19GOatuqSUEmhMgR6wbWlOhRAhSYVGISqkwVGdsyAJh+fDp3Y+7qOKHIT/L8kyUmJobt27dz6tQpHj16REJCAhYWFjg4OFCnTh28vb2xtrbO6xhCvNDmG5vptqEbaZo0mro2pX1qe/r37I9Wq6Vr165MqzONe59lrWNp38eeivMrotaX32WEEDlXbno5IrdEYhFqQa+SvVh+cjllmpUhlFC+O/Adqzut1nVEkU/k2fRlUlISY8aM4c8///zXdS2NjY0ZMGAAP/30E2ZmMrf+b2T6MnetuLSC3n/3RqNo+Pi9j6lzvw7fjspaOHjggIF8U+obQidkrWPpOMyRcjNkHUshxJsJnRrK3dF3UWwU2sS0Ia10GtoBWhQUTvU/Ra3SsoxeYabT6csHDx5Qo0YN/P39SUlJQVGUlz5SUlKYPXs2Xl5ePHz4MC/iFHiy9mXum3N6Dj6bfNAoGnyq++B2xS27IPtm1DeMMBmRXZC5THCh3EwpyIQQb85xqCMmFUxQxaj4seyPaB5qsH9iD8CIvSOQy7sF5MFIWUZGBp6enly7dg0AMzMzunfvTrNmzahQoQJmZmYkJSURFBTEvn37WL16NUlJSQBUqVKFc+fOYWAgd7S9iIyUvT1FUZhydArfHsgqwPxq+aHdruWPOX8AMHnSZNoHtSd8STgA5WeVx3Gwo87yCiEKj6idUVxufRn0YYBqAEEmQRgONyRdSWdL9y20fa+triOKPKKzuy9/++03hg0bhkqlolatWmzYsAFHx5d/qD18+JAuXbpw8uRJVCoVv/76K4MHD87NSIWGFGVvR1EURu8bzbTj0wAYU28MoUtDWbliJSqVij9++4N6AfWI3BQJelBpUSXsP7XXcWohRGFy+ePLRG2JItIlki7BXbDtakuUWxSV7CpxedBl9NVyE1FhpLPpy7Vr1wJgb2/P7t27/7UgAyhdujQ7duzA3j7rw2/1arngUeQ+jVbDoO2Dsguynxv9zNXZV1m5YiV6enqsXLiSOpvrELkpEpWhiqobq0pBJoTIdeX/Ux6VkQq7YDtam7cmanMUZiozbkTe4M9zf+o6ntCxXC/Kbty4gUqlom/fvlhZWeXoGGtra/r164eiKNy4cSO3I4kiLkOTgc8mH+adnYcKFbOazWLfhH1s2bIFIyMjNi3bRMX5FYndH4vaTE31ndWx+9hO17GFEIWQSVkTyowsA8AQwyEYphmiPpL1UTzu4DgS0xN1GU/oWK4XZenp6QBUrfp6i60+3T8jIyO3I4kiLCUjhQ5rO7D6ymr01fos+GgBK4ev5MCBA5ibm7Nr1S7sp9iTEJiAfjF9PA54YNPERtexhRCFWJkxZTByMsIw2pCBxQaSEJCADTY8TnrMjOMzdB1P6FCuF2VPpytTUlJe67in+5cuXTq3I4kiKj4tnlYrW7H99naM9Y1Z3GIxvw74lcDAQIoVK8a+FfswHmVM0uUkDEsZ4nHIA8vacq2eECJv6Znq4fqzKwAdUjpgpbEieXMyADOOzyAsIUyX8YQO5XpR1rx5cxRF4cCBA6913IEDB1CpVLRo0SK3IxV40hLj9UUlR9FsWTMOhRzCwtCCJU2XML7neK5cuUKpUqU4sPgAGj8NqXdSMXY1xvOoJ+ZVzXUdWwhRRJT8pCTmnuaoU9SMLDmStPNplEgvQVJGEuMPjtd1PKEjuX735a1bt/D09CQ9PZ0DBw5Qv379Vx5z9OhRGjdujLGxMefOnaNChQq5GanQkLsvcyYsIYzmy5tzNeIqtia2zK03l6HdhvLw4UNcXV3Z8esOovpFkRGZgambKe573TFyMNJ1bCFEEROzP4aLzS6CHvTU9CTMOQylj4JapebyoMu4FXfTdUSRS3R292XFihVZvHgx+vr6tG7dmjlz5mRfZ/a/MjIy+OOPP2jdujUGBgYsWbJECjLxVu7F3OPDxR9yNeIqDhYOzK0zl0HtB/Hw4UPc3NzYM2MPET4RZERmYFHTAs/DnlKQCSF0wqapDcVaFQMNjHcYjxKiYB9jj1bRMnrfaF3HEzqQ6yNlEyZMAODMmTNs27YNlUqFlZUV9evX/0fz2CNHjhAbGwtAmzZt8PLy+tdzjx07NjejFjgyUvbvrkdcp/ny5jxMeEhZm7L8XOlnBnYZSHx8PDVr1mTd8HXc73MfbaoWq4ZWVNtSDX1L6QkkhNCdxCuJnHE/A1oYrB7MFZsrqAer0aLloO9BGro01HVEkQt01jxWrVajUj2/HI2iKP947t+efxmNRvPW+QoyKcpe7lzYOT5a8RGRyZG4FXfjW8dvGdB9ACkpKTRs2JClvZcSPCAYJVPBto0tbuvc0DPR03VsIYTgRr8bhC8KJ8I+gq7hXSnepzgRzhHUdKhJYP9A1Ko8WRFRvEM6Xfvyf9e3fNFz//b8y/YV4kWOhh6l8dLGRCZHUtOhJsOLDadP5z6kpKTg7e3N0i5Ludf3HkqmQokeJajyVxUpyIQQ+YbrBFfUJmqKhxenmXEzItZFYKwy5syjM6y7uk7X8cQ7lOtzNwEBAbl9SiFeanfQbjqs7UBKZgoNnBvQNbMrA3oOQKvV0r17dyZ7Tubel/cAcPjcgQq/V0ClJwuLCyHyD6PSRjh+7UjoT6EMMxtGQFQAxueMSfVMZcz+MXSo1AEjfbn2tSjI9aKsYUOZ/xbvxsZrG+mxsQcZ2gxaV2hNw8cN+fLrLwEY0H8A35T4huBvggFwGuVE2SllX2u6XAgh3pUyo8oQNj8M0whTPrH8hOU7lmNZw5Lg2GB+C/yNUfVG6TqieAdkoloUSEsuLKHrhq5kaDPo6taVGrdr8M3X3wAwYvgIRhqP5P7P9wFwnexKuanlpCATQuRb+pb6uIxzAeBT5VNMMkzI3J0JwIRDE3gY/1CH6cS7IkVZASDNY583K3AWfTb3Qato6efZj1InSjFp/CQAJo6fSN+ovjz8PesfsAr+FXAe7azLuEIIkSOlBpbCpKIJ+gn6DLYbTPKJZBw0DiRlJDFy70hdxxPvQK7ffSnyTlG/+1JRFH468hM/BPwAwJA6Q0jYkMCiPxcBMGvmLBofb0zkxkjQg0pLKmHfy16XkYUQ4rVEbIrgaserKEYKXdO6Elcmjsy+mSgoBPgG0Milka4jijeg07svhchtiqIwau+o7ILshw9/4NHiRyz6cxFqtZolc5fQYHcDIjdGojJUUWVDFSnIhBAFjl17OyzrWaJKUzGm1BgyQjNwjcpaJ3PwzsFkaDJ0nFDkpbe60H/ZsmW5leM5n376aZ6cVxRMGq0Gvx1+zDs7D4CpjadycMpBdu7ciYGBAWsWrsFlvgsxx2JQm6qpurkqxZoV03FqIYR4fSqVinLTy3H+g/PUeFyDcupy3Fl4B8vvLLny5Ar+p/0Z+v5QXccUeeStpi9f1Cj2balUKjIzM3P1nIVFUZy+zNBk4Pu3L6uvrEaFilnNZ7Hh2w0cOnQIExMTNi3ehO1UWxLPJ6JvrU+1HdWwqmul69hCCPFWrnS+QuTGSMKdw+kR0oOSrUvyuPZjLI0sufnlTezNZSagIHmn05c5bQArjWLF60jNTKXTuk6svrIafbU+Cz5awNIhSzl06BCWlpbsWr4Lm/E2JJ5PxKCEAR4HPaQgE0IUCmUnl0Wlr8I+xJ6m1k15vPMxTmon4tPi+WbfN7qOJ/JIrvQpMzAwwNvbmypVquTG6YQgIS2Bj9d8TEBwAMb6xixotoAp/aZw9epVbG1t2fXnLjKGZJAckoyRkxHu+9wxrWiq69hCCJErTCuY4vCFAw9nPWSU6SgOxR4iYmkEKh8Vyy4uY2CNgdQrU0/XMUUuy9Xpy1q1atG3b1969OiBhYVFrgQU/6+oTF9Gp0TTemVrAh8GYm5ozoLGC/i+1/fcuXMHBwcHds7ZSeKgRNLD0jGpYIL7XneMnY11HVsIIXJVRmwGpyqeIiMigx3OO5geMp1yQ8txx/oO7iXdOTvwLHpqWTKuIHgn05d79uyha9euGBkZoSgKp0+fZtCgQZQqVQpfX18OHTr0NqcXRdDjxMc0XtqYwIeBFDMpxqIGixjReQR37tzB1dWV/f77ie8bT3pYOmbVzPA84ikFmRCiUDKwNqDslLIAtI5ojR123Jl/B3N9cy4+vsjcM3N1nFDktlzpUxYbG8vKlStZvHgx586dyzrxf0fQXF1d6du3L76+vpQuXfptX6pIK+wjZaFxoTRb1ozb0bexN7dnVs1Z+HXxIyIigsqVK7N5wmbC+4ajSdBgUceC6juqY1DMQNexhRAizyhahXMfnCMhMIGQCiH0vt2bUu1KEVYjDGtja259eYviZsV1HVO8wju90N/a2ho/Pz/OnDnDxYsXGTx4MMWKFUNRFO7evcsPP/yAi4sLrVu3ZsOGDWRkSJ8V8bzbUbf5cNGH3I6+jbOVM7+5/8aAjwcQERGBl5cX23/YTphPGJoEDdaNrXHf6y4FmRCi0FOpVVT4vQKowPm2Mx9afkjY1jBKq0sTmxrLmP1jdB1R5KI86+ifkZHB5s2bWbRoEXv27EGr1WaPnhUrVoyePXvSp08f3N3d8+LlCxV/f3/8/f3RaDTcunWr0I2UXXp8iRbLW/A46TEVbSsy1mUsA7sNJDk5mQ8//JDl/ZYTMiAEJVPBto0tbuvd0DOW6yiEEEXHzc9vEjYvjLTSabR+2BrjSsYkd08GILB/ILVL19ZxQvFvcjpS9k6WWXr06BGLFy9m6dKlBAUFZb3wfwu0rl27snr16ryOUCgUxunLwAeBtFrZipjUGNxLujPUdiif9fqM9PR0PvroI+Z9PI97X94DLZToXoJKyyqhNpCFKIQQRUtGVAaBFQPJjM7kb6e/+e3+b5QdXpa7Fnep6VCTk/1OykX/+Vi+WmbJwcGB7777jlu3bnHw4EE6duyY3ZMsJCTkXUQQ+dDB4IM0W96MmNQY6jrWZZDJIPr36E96ejqdOnVibrO53PsiqyArNaAUlVdUloJMCFEkGdgaUPbnrIv+20e3xwYb7s67i5meGWcenWHxhcU6Tihywzv9hDt27BjLli1j7969qFSqXF8NQBQcO27voNXKViSmJ9LUtSld07oyqM8gNBoNvp/6Mq3qNIJHBgPgNMKJivMqotKTnxchRNFVqn8pzGuYQxJMrzAdEsHqfFbD7B8P/UhaZpqOE4q3ledFWVhYGFOnTqVSpUo0aNCAxYsXk5CQgKIoVKtWjUGDBuV1BJHPrLu6jo/XfExqZirt3mtHo0eNGOY3DEVR+NLvS763+57QH0MBcJngQtlpZaWAF0IUeSo9FRX8KwBQ7nY56pjX4dGWR1irrXkQ/4CF5xbqOKF4W3lyTVlmZiZbtmzJvshfo9FkL59kbW1Njx496Nu3L15eXrn90oVaYbimbNH5RQzYOgCtouWTqp/gdM6JqT9PBeDb0d/yaeSnhC0MA6D8r+VxHOKoy7hCCJHv3Oh7g/DF4aQ4pdDmfhuMGhiR0iQFBwsH7nx1B2N96d2Y3+jkmrLLly8zbNgwHBwc6NKlCzt37sxeXLxp06asXLmSsLAw/P39pSArgn49+Sv9tvRDq2jp79kf64PW2QXZ1J+m0jO4Z1ZBpob3/nxPCjIhhHiBslPKom+tj8l9Ez53/JyUYymYa8x5lPCI+Wfn6zqeeAtvPVIWFxf3j8axT0/p7OxM79696dOnD2XKlHn7tEVcQR0pUxSFSYcnMfbgWACG1RlG1Jooli1dBsCcX+fw4f4PidoahUpfReWVlSnRtYQuIwshRL724PcHBA0OAgv4OOFjEmsnom2txd7cnrtf3cXEwETXEcUz3slI2SeffEKpUqUYPHgwZ8+eRVEUjIyM6N69O3v27OHevXuMGzdOCrIiTFEURu0dlV2Qja0/lpCFISxbugw9PT2Wz19O3S11idoahdpYTdXNVaUgE0KIV3D43AGz6maQAOMcxqE9q8U805zwxHBZfqkAe+sFyZ/y8vKib9++9OzZs0CN4hQkBW2kTKPV4LfDj3ln5wEwtfFUAiYHsGvXLgwNDVm7cC1l5pQh/mQ8euZ6VNtWDeuG1roNLYQQBUTs0Vgu1L8AKvhc+ZzbNW+jbaOlhFkJ7n51FzNDM11HFP/1TprHqtVqVCoV+vr6lCxZ8k1P83wglUp6l71EQSrKMjQZ9N7cm1WXV6FCxazms1g3eh1HjhzBxMSEvxf/jc3PNiRdSkLfRp/qu6pjWTt/vychhMhvrvtc5/GKx4TYhNA7rjcW31qQoJ/A9ObTGfHBCF3HE//1Touy3KIoCiqVCo1Gk2vnLEwKSlGWmplK9w3d2XxzM/pqff5o/gfzBs/jzJkzWFpasm3RNgy/NSTlVgoGJQ1w3+uOeTVzXccWQogCJzU0lcDygSgZCsMYxsUaF1HaKRQ3Lc7dIXcxN5R/W/ODd3b35dPO/LnxEAVfUnoSbVe3ZfPNzRjpGbGoxSJ+7f8rZ86cwdbWln1L96H/tT4pt1IwKmOE5xFPKciEEOINGZcxptSAUgB8bfM1ynkFiwwLIpIj8D/lr+N04nW9VVGm1Wpz/SGjZAVXbGosLVa0YN/dfZgZmLG46WJ+7PkjV69excHBgQMLD5D+eTppoWmYVDTB86gnphVMdR1bCCEKtDJjyqAyVOEU40QNpQaJ2xMBmH58OglpCTpOJ16HLCRYAPj7++Pm5katWrV0HeWlIpIiaLy0McfvH8fa2Jo/G/7JqK6juHPnDq6uruz7fR/xfePJeJyBWXUzPA97YuwkDQ6FEOJtGTsa4/CZA/Df0bKLChbpFkSlRPH7qd91nE68jjzp6C/yRn69puxB/AOaL2/OjcgblDArwaxasxjcZTARERFUqlSJLRO3EN4nHE2iBos6FlTfWR0DGwNdxxZCiEIj7VEageUC0aZqGclIzrqfRemgYGNsQ/DQYCyN8s9nRlGkk47+oui5G3OX+ovrcyPyBk6WTszymMXn7T8nIiICT09Pto/dTphPGJpEDdaNrXHf6y4FmRBC5DIjByMcPs8aLRtmMwzlooJluiUxqTHMCpyl43Qip6QoE2/sWsQ1Plz0IcGxwZQvVp4pFafQr30/YmNjqVevHn999Rf3P72PNlWLbRtbqu2ohr6Fvq5jCyFEoeT0jRNqEzUOMQ7UpjbxW+MBmHliJrGpsboNJ3JEijLxRs6FnaPhkoaEJYZRtURVvi/9PX079SUpKYlmzZqxotcKgvsFo2QqFO9WnCp/VUHPWE/XsYUQotAysjfCYdB/R8ush8FlsEyzJDY1lt9O/qbjdCIn3rgos7GxwdbWlp07d+Zmnnf+GuL1HQs9RuOljYlMjqSmQ02+svyK/t36k5aWxscff8z8lvMJHhQMWijVvxRuK91QG0j9L4QQea3MqDKoTdXYx9rzPu8TvyVrtOw/J/9DTEqMjtOJV3njT8q4uDhiY2PJyMjIzTzv/DXE69l7Zy8tVrQgPi2eBs4N+FT5lM98PiMzM5Oen/Tklxq/EDIia0UGx2GOVJxfEZVe7jUYFkII8XKGJQ0p7Vca+O9o2VWwTLUkLi2O/5z8j47TiVeR4QuRY3/f+Js2q9uQnJFMy/ItaR3dmq8++wpFUfj8s88ZX3o8oeNCAXAe50y5meVydcUHIYQQr+Y00gm1mZoSsSWoRz3iN2eNlv0W+JuMluVzb33V9YEDB4iNjc2FKCI/W3lpJb5/+6JRNHSq3Am3626MHj8agJEjRtI/sT8Ppj8AoNyMcjgNd9JlXCGEKLIMixviONiR0CmhDLEewrHrx7BMsSSeeH49+Ss/Nv5R1xHFS7x1UTZ79uzcyCHysbln5vLF9i9QUPB198X2mC0TZ0wEYOL4iXS604lHyx+BCirOrYjDQAcdJxZCiKLNaYQTD39/SPHY4tSnPke2HoGu8Gvgrwx9fyg2Jja6jihe4K2mL3Nz3UtZCzN/mn5sOoO2D0JBwa+mH4Y7Dfllxi8A/DbjN9pfbM/j5Y9BDyqvrCwFmRBC5AMGtgaUHpJ1bdkQqyGorqmwSLEgPi2e3wLlTsz86o1HyhYvXpybOf5VjRo13tlriSyKojDu4DgmHs4aERv1wSjuL7nP6lWrUalU/On/JzX+rkHknkhURiqqrKuCXTs7HacWQgjxlNPXTjyc/RDbOFsa0IBDWw9ljZadzBotsza21nVE8T/euCjz9fXNzRwiH1EUhWG7h2X/NjWhwQTO/naWzZs3o6+vz8r5K6mwqAIxR2NQm6qptqUaNk1lKFwIIfITg2IGOA51JGRCCF9ZfcXha4cxTzEnjjh+O/kb4xqN03VE8T/k7kvxHI1Ww4CtA7ILsplNZ3L458Ns3rwZIyMj/l76N2X9yxJ3NA49Kz3c97pLQSaEEPmU4zBH9Kz0KBZXjEY0ImFbApDVt0y6/Oc/UpSJbOmadHr+1ZM/z/+JWqVmTvM5bPxmI/v27cPc3Jydy3dS/KfiJJ5NxKC4AR4HPbD6wErXsYUQQryEgbUBTl9n3Q0/2HIw6qtqLFItiEuLkzUx8yEpygQAKRkpdFzbkbVX12KgNmBBiwUs+HIBx48fx9ramj3L9mAy2oTka8kYljbE47AHFh4Wuo4thBDiFRyHOKJvrY9NvA0NaUjC1v8fLYtLjdNxOvEsKcoEiemJeK/yZvvt7RjrG/Nn8z+Z3mc658+fp0SJEhxYcgBlsELq3VSMyxrjedQTs0pmuo4thBAiB/St9HEc5gjAl5ZforqqwiLVgtjUWBkty2ekKBN0XteZgOAALAwtWNxkMeM+GceNGzdwdHRk/7z9JA9IJv1hOqZupnge8cTExUTXkYUQQryG0l+Vzrq2LL5Y1mjZNhkty4+kKBN8V/87HC0dWdhgIcM7D+fevXuUK1eOfb/tI7ZPLBkRGZjXMMfjkAdGDka6jiuEEOI1GVgb4DTs/68tU13JGi2LSY1h9ilpAp9fSFFWAPj7++Pm5katWrXy5Pz1neuz/sP1+LX349GjR1SpUoVdP+/i8aePyYzNxLKeJR4HPDC0M8yT1xdCCJH3Sg958WjZLyd+IT4tXsfpBEhRViD4+flx7do1Tp8+nSfnP3bsGB81+4jIyEhq1qzJ1jFbefjpQ7RJWmxa2OC+2x19q7dekUsIIYQOGVhn9S2D/15b9uxoWaCMluUHUpQJJk6cSHx8PPXr12f9oPWE9g5FSVOw62BHtS3V0DPT03VEIYQQucBxiCN6lnrYxttSn/okbP/vaNnJX0hIS9BxOiFFmWDt2rUMGzaMZd2XEdw/GCVToWSvkritc0NtJD8iQghRWBjY/P9o2WCrwaguq7BIsyA6JZrfT/2u43RCPnEFVlZWDHMaRrBfMCjg8LkDlZZWQq0vPx5CCFHYOA7NGi2zi7N7brRsxokZMlqmY/KpKwieEMydr+8A4DTSiQpzKqBSq3ScSgghRF4wsDHA8asXj5b5n/bXcbqiTYoygTZdC4DLRBfKTi2LSiUFmRBCFGaOwxzRs8gaLaun1CNhx39Hy47PIDE9Ucfpii4pygSuE13xOOiBy/cuUpAJIUQRYFDMgNJflQbgK6uvUF1SYZ5uTlRKFPPOzNNxuqJLijKBSqXCuqG1rmMIIYR4h5yGOaFnoUfxuOJ8oHxA4s6sEbIZJ2aQkpGi43RFkxRlQgghRBFkYGtA6cFZo2VDrIbARTDNMCU8MZxF5xfpOF3RJEWZEEIIUUQ5fe2EnnnWaFk9bT2S9yQDMPXYVNI16TpOV/RIUSaEEEIUUc+Olg22GgznwCTThPvx91l2cZmO0xU9UpQJIYQQRZjj146ozdSUjCvJB5oPSD2QCsDko5PJ1GbqOF3RIkWZEEIIUYQZ2hniOPi/a2JafIlySsFYY8zdmLusubJGx+mKFinKhBBCiCLOcXjWaFmphFLUyaxDxuEMAH468hNaRavjdEWHFGVCCCFEEWdoZ0jpQVnXlvlZ+KE5ocFIa8SNyBv8df0vHacrOqQoE0IIIQSOwx1RGalwSnDCM90TzQkNAJMOT0JRFB2nKxqkKBNCCCEERvZGOAxwAOALiy/IPJqJoWLIxccX2X57u47TFQ1SlAkhhBACAKdRTqgMVJRPKE/VlKoop7NGyGS07N2QokwIIYQQABg7GWPf2x6AQRaDyDiUgb6iT+DDQPbf26/jdIWfFGVCCCGEyFZmdBnQA7cENyomVUR9IatUmHR4ko6TFX5SlOWx0NBQevXqRaVKlbC0tMTc3JyqVasyYcIEEhISdB1PCCGEeI5JWRNKflISgEHmg0gPSEcPPQ6FHOJIyBEdpyvc9HUdoLB7/PgxDx48oEOHDjg5OaGnp8eZM2eYNGkSW7Zs4cSJExgYGOg6phBCCJGtzJgyPF7xGI9ED1xxJexKGJqqGiYdmcRu5926jldoqRS5ck8npk+fzqhRo9i+fTutW7fO0THx8fFYWVkRFxeHpaVlHicUQghRlF3tepWI9REEmgUy2mA06qFqtGgJ7B9I7dK1dR2vQMnp57dMX+qIi4sLADExMboNIoQQQryA83fOANROro1TrBNGN42ArC7/Im9IUfaOpKamEhkZyf3799m6dStjxozB2NiYBg0a6DqaEEII8Q/m7ubYtrVFpajob9qflD0pqFCx5eYWLj2+pOt4hVKeF2Xp6ekEBQVx6tQpDh06xKlTpwgKCiIjIyOvXzpbcnIyO3fuZNKkSXTs2BFnZ2dUKhUqlYrx48fn6BwJCQmMHz+eatWqYW5ujpWVFbVq1WLmzJmkp6e/8viFCxdSvHhxypQpQ7t27TA0NGTz5s04OTm95bsTQggh8obz91mjZfVT61MyqiQmd00AmHJ0ii5jFVq5fqF/QkICO3fuZNeuXZw8eZJbt269sOGcSqXivffe4/333+ejjz6iVatWWFhY5HYcAE6dOpXj67ZeJCQkhEaNGhEcHAyAqakpaWlpnDlzhjNnzrBy5Ur279+PjY3NS8/Rvn17KlWqRFxcHMePH+fAgQPEx8e/cSYhhBAir1nWtsSmhQ0xe2LoZ9KPn/f8DJ/D2qtrmdRkEmVtyuo6YqGSayNlx44d45NPPsHe3p4ePXqwdOlSbt68iVarRVGUfzy0Wi03btxgyZIl9OjRA3t7e3r27MnRo0dzK9JzbGxsaNq0KSNHjmT16tXY29vn6DiNRkPbtm0JDg6mVKlS7N27l6SkJJKTk1mzZg0WFhacP3+enj17/ut5HB0dadasGZ06dWLmzJl8++23dOnShX379uXG2xNCCCHyxNPRsqbpTbELt8P0oSlaRcv0Y9N1nKzweeu7Lw8cOMD3339PYGAgwHOjYoaGhri6umJra0uxYsWwtLQkPj6e6OhooqKiuHfv3nNTfyqVCoA6deowadIkmjRp8jbRsmk0GvT09J57zsXFhZCQEMaNG/evU5h//vkn/fv3B+D48ePUrVv3ue2rV6/mk08+AWDfvn00bdo0x5nMzc3p2LEjK1euzNExcvelEEIIXTjf8Dxxh+PYZryNmSVnQh8w0jMieGgw9uY5G+QoyvL87sugoCBatWpF8+bNCQwMRFEUDA0Nadu2LTNnzuTYsWPEx8dz/fp1jh49ypYtW1ixYgVbtmzh6NGjXL9+nfj4eI4fP87MmTP5+OOPMTIyQlEUTp48SfPmzWndujV37tx504jZ/rcgex1Lly4FoHHjxv8oyAC6d++Oq6srAMuWLcvxeTMzM8nMzJS7L4UQQuR7T0fLWmlaYR1ijWmUKWmaNP5z4j86Tla4vHFRVq1aNfbs2YOiKNSoUYP58+cTERHB5s2bGTZsGHXr1sXQ0PBfz2FoaMj777/PsGHD2LRpExERESxYsIBatWqhKAq7du2iWrVqbxrxrSUnJ3Ps2DEAWrVq9cJ9VCoVLVu2BGDPnj3/2P748eMXHjdv3jwyMzOpU6dOLqUVQggh8oZNMxssalugl6FHT4OeJO9OBuCPM38Qmxqr23CFyBsXZWlpaTRo0IB9+/Zx+vRp+vfvj7m5+VuFMTMzo1+/fgQGBrJ//34aNWpEWlraW53zbVy/fh2tVgtA1apVX7rf023h4eFER0c/t+2bb76hdu3afPfdd8yfP59ffvmF9u3bM3ToUN577z2GDBmSd29ACCGEyAUqlSp7tKw97bG4ZYFpoikJ6QnMOT1Hx+kKjze++3Lbtm1vdUfjqzRu3JjGjRuzc+fOPHuNV3n06FH216VLl37pfs9ue/ToEcWKFcv+vmPHjkRFRbF06VIiIiLQ19enfPnyfP/994wYMeJf55bT0tKeK0rlbk0hhBC6YtvGFjN3M5IuJtFZrzOL9yyGjvDryV8Z+v5QTA1MdR2xwHvjkbK8LMie9bJpw3fh2QXDTU1f/sP27Lb/XWS8Xbt2bN26lQcPHpCWlkZSUhIXL15kwoQJr7xYf/LkyVhZWWU/pKeZEEIIXVGpVJQZXQaArvpdMb5sjEmaCRHJESw6v0jH6QqHXG8ee+XKldw+ZZE1ZswY4uLish/379/XdSQhhBBFWPHOxTEuZ4xxmjFtaEPKvhQAZhyfQYbm3TWFL6xyvSjr1KkTiYmJuX1anXi2mW1ycvJL93t2W242wDUyMsLS0vK5hxBCCKEran01ZUZmjZb5Gvuif04fo0wjQuJCWHNljY7TFXy5XpTdvn0bX1/f3D6tTjg4OGR//fDhw5fu9+y2Z48RQgghCpuSviUxtDfEPMWcZppmpB/K6jc65dgUtIpWx+kKtlwvylQqFX///TfTpk17o+P9/f1zOdGbq1y5Mmp11l/Rv03LPt1mb2//3EX+QgghRGGjZ6yH49eOAPQ36w+BYKg15FrENbbe3KrjdAVbrhdlo0ePRlEUvv/+ew4dOvRax3799dd89dVXuR3pjZmamlKvXj0Adu3a9cJ9FEVh9+7dALRo0SJPcvj7++Pm5katWrXy5PxCCCHE63D4zAF9a31sk2z5MP1DNIEaACYfnfzC9a5FzuR6UTZx4kQaNGhAZmYm3bt3Jyws7JXHpKWl0blzZ3799dfcjvPWnk7FBgQEZC8l9az169dz9+5dAD799NM8yeDn58e1a9c4ffp0npxfCCGEeB36lvo4+GVdrjPQbCCaoxr0FD0CHwZyKOT1BmTE/8v1okytVrN27Vrs7e158uQJXbt2RaPRvHT/yMhIGjVqxKZNm4CsKcO8EBMTQ2RkZPbjaVPY5OTk557/35sUfH19qVatGoqi0KlTJ/bv3w+AVqtl/fr1DBgwAMhq3ZHTdS+FEEKIgs5xiCNqEzWOSY7USKqB+mJWSTH56GQdJyu43npB8pcJCAigRYsWaLVaBg8e/MJRsJs3b+Lt7c29e/dQFIWmTZuyYcMGrKyscj3P0wXIX8XX15clS5Y891xwcDCNGzcmODgYyJrW1Gq1pKamAuDp6cn+/fuxsbHJ7djPkQXJhRBC5Ce3v7rNw9kPuWF2g0GGg1ANUaGgcGbAGbwcvHQdL9/I8wXJX6Vx48b8+OOPKIrC7NmzWbdu3XPbDx8+zAcffJBdkPXr14+dO3fmSUH2tlxcXLh06RJjx46latWqqFQqDAwM8PLyYsaMGZw8eTLPCzIhhBAiv3Ea7oRKX0WlpEq8F/Mehrey1ryeemyqjpMVTHk2UvZU69at2bVrF+bm5pw+fZr33nuPFStWMGDAANLS0lCpVPz000+MHj06L2MUCjJSJoQQIr+57nudx8sec8bkDCMtRsIXoELFjS9vUNG2oq7j5Qt5PlJ27NgxkpKSXrnfihUrcHR0JCkpiQ4dOjB27Fh8fX1JS0vD2NiY1atXS0H2CnL3pRBCiPyqzDdZzWRrptSkzJMymISaoKAw4/gMHScreN54pEytVqOnp0fFihXx8vLKfnh6emJmZvbcvidPnqRhw4ZkZmYCWW0k7Ozs2Lx5M3Xr1n37d1FEyEiZEEKI/Ohy+8tEbY7ioPFBfizxI/QFQz1DgocEU8qilK7j6VxOP7/fqiiDrGaxz51QpXphobZo0SKGDh0KZN1huW3bNlxdXd/kpYssKcqEEELkR/GB8Zx7/xxatZYe2h4kfJlAil0Ko+uNZnIzuRszz4uysWPHcv78ec6dO/fCXmTPFmsqlYoKFSoQFBSEiYkJy5cvp3HjxlJYvCYpyoQQQuRXF5pcIDYgli0GW/hP2f9AD7AysiJ0WCiWRkX7MyvPi7JnPX78mLNnz3Lu3LnsR2ho6PMv9D8japB1V6OnpyceHh54enri6ekpa0f+CynKhBBC5FfRe6K59NElNPoaOmV2In1kOilmKUxvPp0RH4zQdTydeqdF2YtER0c/V6idPXs2u/3FcwH+p1izs7Pj8ePHeRGpwJOiTAghRH6lKApna54l8VwiK9UrWei+ED4GBwsH7g25h6Geoa4j6ozOi7KXhXq2SDt37hy3b9/O7q4PWUXav60AUBT5+/vj7++PRqPh1q1bUpQJIYTIl55seMK1LtdIM0yjQ2YHtKO1pBmmsajdIvp49tF1PJ3Jl0XZiyQlJXHhwoXnRtUuXbqky0j5loyUCSGEyM8UjcIpt1Ok3ErhD/5gXb110Bwq21XmyhdXUKvyrGd9vlZgijKRc1KUCSGEyO8eLXzErQG3SDROpIO2A6rRKjLUGWzpvoW277XVdTyd0PkyS0IIIYQoeux97DG0N8Q81Zym6U3RnMy6JEmWXno1KcqEEEIIkWvURmochzoC0Ne0L8pxBT1Fj2P3j3Es9JiO0+Vvb1yUXb58OTdzvNSFCxfeyesIIYQQInc4fO6AnoUeJZJL8H7i+6ivZJUb045P03Gy/O2Ni7IaNWrQt29fgoKCcjNPtqtXr9KpUydq1qyZJ+cXQgghRN7Qt9LH4fOsvqN9TfuScTADFSq23NzC9YjrOk6Xf71xUabRaFi6dCmVK1emW7duBAQEvHUYjUbDtm3b6Ny5M+7u7mzatOmtzymEEEKId89xqCMqAxXlk8tTJaoKhvey+pTJQuUv98ZF2dGjR6lWrRoajYYNGzbQrFkznJ2dGTZsGH///Tfh4eE5Ok94eDibN29myJAhlC5dmo8//phNmzah1Wpxd3fnyJEjbxqx0PD398fNzY1atWrpOooQQgiRI0YORpT0KQlAH+M+pO1PA2D5peU8jH+oy2j51lu1xNBqtSxdupQJEyYQEhKSdcJnOvQ7OjpSuXJlihUrRrFixbC0tCQ+Pp7o6Giio6O5ceMG9+/fz97/aRQXFxfGjx+Pj4/PC5dnKqqkJYYQQoiCJOlGEqcrnwbgUz4l8otIUkqkMPKDkUxrXnSuL3unfco0Gg2rV69mzpw5nDx58v9PnoOC6tmXr1evHn5+fnTp0gU9Pb23jVXoSFEmhBCioLnc/jJRm6PYZ7iPn1x+gk/AwtCC0GGhWBtb6zreO/FO+5Tp6enRq1cvjh8/zo0bN/j5559p1KgRpqamKIry0oe5uTlNmjRh2rRp3L59myNHjtC9e3cpyIQQQohCosyoMgA0yWyC7S1bTBJMSEhPYN6ZeTpOlv/kaUd/RVG4e/cuwcHBREdHk5aWhpGREba2tri4uODq6irTk69BRsqEEEIUROfrnyfuaBzr9NbxR9U/oAPYm9sTPCQYI30jXcfLc7LMUiEkRZkQQoiCKHJrJFfaXSHdMJ2OmR3RjNaQapjKgrYL6F+jv67j5bl3vsxSdHQ0e/fuZcOGDQQEBOT47kshhBBCFG623raYuplimG5IW21bUgNSAZh5YiZaRavjdPnHWxdlSUlJ+Pr6UrJkSVq2bEm3bt1o1qwZjo6O1KtXL1f6lwkhhBCi4FKpVTiNdAKgl3EvDM4YYKAx4EbkDXbc3qHjdPnHWxVlWq2WVq1asWLFCjQazXMX8Wu1Wk6cOEGzZs2YMmVKbuUVQgghRAFU8pOSGJY2xCzVjOYZzckMzASkmeyz3qooW7VqFUePHs3+3sDAgIoVK+Lk5JT9nKIofPfdd6xZs+ZtXqpIk+axQgghCjq1oRqnYVn1QR/TPnAC1IqaQyGHOP3wtI7T5Q9vVZQ9W2gNGzaM+Ph4bty4QUhICGFhYYwaNQq1Wo2iKHz11VekpaW9deCiyM/Pj2vXrnH6tPzQCiGEKLhKDSyFnpUedsl2fJDwAeprWWXIzBMzdZwsf3irouzChQuoVCoaNWrEzJkzMTL6/9taS5YsyZQpU/jjjz8AiIqKYv369W+XVgghhBAFlr6FPqW/KM3/tXfn0VHVdx/H33eSySSBTFgMZGEJgqAIKlvZFEGUKrIvgkJBrNpaKlSrfUBboBZrpWgVm2OpaLCKhqIoWg5uiFCQADFQ4AlggbAZCEsICYbs9/kjT6ZJs02SSe7M5PM6Z85J7vqdfDnJh3t/87sAPw75MYWbS25hrklZw7HMYxZW5h3qFcrOnz8PwNixY6vc5qGHHqJ3794AfPLJJ/U5nYiIiPi4mDkxGA6DTlc60fNsTxynHBSbxbyc+LLVpVmuXqEsPz8fgA4dOlS73bhx4zBNk+Tk5PqcTkRERHycI9JB5MxIAGY6ZpK3qWRo02vJr3HxykUrS7OcR+Yps9mqP0znzp0BSE9P98TpRERExIe1f7w9GNAnrw/tj7Qn+FIw3xd8z1+/+avVpVnKY5PHVic0NBQomdFWREREmrbQbqG0HtMagPsC7yP3y5LJZF/e8TL5RflWlmapRgllpYqLNWuviIiIQPsnSqbHuMO8gxb7WuDIc3D68mne3feuxZVZxyOh7KWXXuL555/n888/dw3+FxEREalK+OBwwvqHEVAUwPji8eRtKRlbtnT7UprqY7kDPXGQzZs3s3nzZtf30dHR9OrVy/VKS0vzxGlERETETxiGQftftiflnhQmB03mnaR3KBpexP6z+/nsyGf8sMsPrS6x0dUrlDmdzkrHiaWlpZGWlsb69esrrHv22We56aab6N27N1FRUfU5fZMRFxdHXFwcRUVFVpciIiLiMVeNv4rgTsGQCj/kh/xj1z+gf8lksk0xlBlmPa8RHjlyhOTkZL755huSk5PZvXs3Fy5cqHgiw6iwrE2bNvTu3ZtevXrRu3dvevfuTWxsbH3K8WtZWVmEh4dz6dIlnE6n1eWIiIjU26lXTnF4zmEuBF/gHsc9mL8wMQ2TPT/Zw42RN1pdnke4+/e73qGsMsePHyc5OdkV1nbv3l3pdBiVBbWWLVtqXFoVFMpERMTfFF4uJLFDIoUXC/kNv2HHvTso6FbAj274EX8b/zery/MIS0NZZb777rtyQS05ObnSsWaGYeg2XRUUykRExB8dffooJ35/gsPBh3mo1UPwMATaAkmdm0o7Zzury6s3rwtllTl79qwroJWGtZMnTyqUVUGhTERE/FHe6TwSYxMx801mM5sjPzlCXlQeTw56kiV3LLG6vHrziVBWmYyMDFq1amV1GV5JoUxERPzVwQcOcib+DIlBicyPnQ/3gdPh5ORjJ3E6fPtvnrt/vxt18lh3KJCJiIg0Pe1/WTKZbP+C/kR/G01wdjBZeVmsSF5hcWWNx+tCmYiIiDQ9za5vRqu7WmGYBlMCppC76T+PXiosLrS4usahUCYiIiJeofTRSyONkTj/5SSoIIgTl06w9sBaiytrHAplIiIi4hVaDGtB817NCSwMZEzRGPK3lTyc/MXtL1pcWeNQKBMRERGvUProJYCpjqnYd9qxmTZ2fLeD7Se3W1xdw1MoExEREa8RcU8EjnYOmuU1446cO2BvyfIXE/3/aplCmYiIiHgNm91Gu1+UTBg7I3gG5taSmbvWHljLscxjFlbW8BTKRERExKtEPRRFgDOAtrlt6X+uP/aTdorNYpbtWGZ1aQ1KocwHxMXF0b17d/r162d1KSIiIg0u0BlI9MPRAPzI8SMKNhcAsCJ5BVl5WVaW1qAUynzA7NmzSUlJYdeuXVaXIiIi0ihi5sRAAHTP606Xw11wZDnIzs/m9eTXrS6twSiUiYiIiNcJbh9Mm3vaAHBv4L3kbc4DYNnOZX47maxCmYiIiHildo+VDPgfWjyU1ntaYy+wcyzzGB8e/NDawhqIQpmIiIh4JWc/J+E3h2MrtjGuaBwFX5eMLfPXyWQVykRERMRrlV4tm2ifiGOnA5tpY/up7SSeSrS4Ms9TKBMRERGvddXYqwjuFExIQQgjvh8B+0uW/ynxT9YW1gAUykRERMRrGQEG7eaWXC2b7piO+c+SyWTfT3mf45nHrSzN4xTKRERExKtFPhBJgDOANnlt6H+2P0Gngigyi3hl5ytWl+ZRCmUiIiLi1QLDAol6KAqAaY5p5G/OB+C15NfIzsu2sjSPUigTERERr9fu0XYQAD3yetD5351xZDvIysvijd1vWF2axyiUiYiIiNcL7hhMxMQIAKYETHFNJvvyjpcpKi6ysjSPUSgTERERn9D+8fYA3GbeRss9LbEX2knNTGXdoXUWV+YZCmUiIiLiE5z9nTgHOgkoDmBc4TgKtvvXZLIKZSIiIuIz2j1eMj3G5KDJBO0Iwmba2HZyG0lpSRZXVn8KZSIiIuIzrhp3FY6ODkLyQxhxeQRGigGUjC3zdQplIiIi4jNsgTbXZLLTgqdRvLUYgNX7V3M6+7SVpdWbQpmIiIj4lKgfRxEQFkBkbiT9TvfDfsZOQXEBrya9anVp9aJQJiIiIj4l0BlI1IP/P5ls0DQKtpQM+P9L0l/ILcy1srR6USgTERERnxMzJwZscEP+DXQ60ImgK0GcyznHu/vetbq0OlMo8wFxcXF0796dfv36WV2KiIiIVwiJDSFiwv9PJmtMIX9ryaOXXtrxEqZpWllanSmU+YDZs2eTkpLCrl27rC5FRETEa7R7rGTA/+3cTstvWhJQHMDe9L1sPr7Z4srqRqFMREREfJJzoJOwH4QRUBzA6NzRFCeXfBLzpcSXrC2sjhTKRERExCcZhuGaHmNS0CQCtwcC8NGhjzh68aiVpdWJQpmIiIj4rIhJEQRFBxGWH8bQC0MJPBaIickrO16xurRaUygTERERn2ULshHzsxgA7gu6j8J/FgLw+u7XycrLsrK0WlMoExEREZ8W9XAUtmAbsfmx9DjSg6CsILLzs1m5Z6XVpdWKQpmIiIj4tKCIINpObwvA1MCp5P+zZHqMZTuWUWwWW1larSiUiYiIiM+LmVNyC3NQ0SDa7mlLYGEgRy4eYf236y2uzH0KZSIiIuLzmvdsTovhLTBMg3EF4yjcUTK27OUdL1tcmfsUykRERMQvlE6PMc4+juAdwRimwcbUjexL32dxZe5RKBMRERG/0Pru1gR3Dia4IJgRWSOwfVsSc5btWGZxZe5RKBMRERG/YNgM2s0puVp2n+M+ireWDPJ/e9/bnM85b2VpblEoExEREb8ROSuSAGcAbfPa0vdkX+zn7eQW5vLXb/5qdWk1UigTERERvxEYFkjUA1EA3Ge/j4ItBQDE7YqjoKjAytJqpFAmIiIifiXm0Rgw4KaCm+iwvwP2PDtp2Wm8l/Ke1aVVS6FMRERE/ErI1SG0HtMagEnmJAq+LrlC9spO734epkKZiIiI+J12vygZ8H+n7U7CksKwmTa2n9pOUlqSxZVVTaFMRERE/E6LW1vQ7IZm2Ivs3P393Zj7TcC7r5YplImIiIjfMQzDdbVsStAUjO0GAAn7E0i/nG5laVVSKBMRERG/1ObeNtgj7LTIb8EtabdgT7eTX5TvtdNjKJQ1guTkZB5//HFuvPFGnE4nzZs3Z8CAAaxatcrq0kRERPxWQHAA0T+NBuDeoHsp2Foy4P/VpFfJL8q3srRKKZQ1giVLlvDWW28xcOBAli5dyjPPPMP333/P9OnT+e1vf2t1eSIiIn4r+pFoDLtBt/xudP3frthz7Zy+fJq1B9ZaXVoFhmmaptVF+Luvv/6a3r17Exwc7Fp25coVbrrpJlJTU0lPT6dly5Y1HicrK4vw8HAuXbqE0+lsyJJFRET8Rsr0FM6uOsvnts/5/S2/h2EwsN1Avv7x141yfnf/futKWSMYNGhQuUAGEBISwqhRoygoKODQoUMWVSYiIuL/Sp+HeRu30XJXS9f0GLu+22VxZeUplFkoLS0NgIiICIsrERER8V/OHzgJ6x9GQHEAo3JGee30GE0mlOXk5LBhwwYWL17MhAkT6NixI4ZhYBgGixYtcusY2dnZLFq0iJ49e9K8eXPCw8Pp168fL7zwAvn5tRswmJKSwtq1axkwYACdO3euwzsSERERd5VeLZtkn4Tt65L4s/p/V3vV9BiBVhfQWHbu3MnIkSPrvP/x48cZOnQox44dAyA0NJS8vDySkpJISkpi1apVbNy40e2xYZMnT8Zms7F8+fI61yQiIiLuiZgUwZFfHsF5xsmQ00PYmr6V/LYl02P85tbfWF0e0ISulAG0bNmS4cOH8+STT/Luu+8SGRnp1n5FRUWMHj2aY8eOERUVxeeff873339PTk4OCQkJhIWFsXv3bqZNm1bjsa5cucLo0aP59ttvSUhI4IYbbqjv2xIREZEa2IJsrukxptqneuX0GE0mlN1yyy1kZGTwxRdfsGTJEqZOnYrD4XBr35UrV7Jv3z4A3n//fW6//XYAbDYbU6ZMcV3t2rBhAxs3bqzyOPn5+YwfP56tW7fy1ltvMXbs2Hq+KxEREXFX1E+iMOwGXQu6lpse4/2U960uDWhCoSwgIKDO+7755psADBs2jIEDB1ZYP3XqVDp16gTA3/72t0qPUVhYyD333MNnn33GihUrmDp1ap3rERERkdpzRDpoM6UNAJOYRMH2kqtl3jLgv8mEsrrKyclh27ZtANx1112VbmMYBnfeeScAn332WYX1xcXFTJ8+nXXr1hEXF8esWbMarmARERGpUsycGMA7p8doMgP96+rAgQMUFxcD0KNHjyq3K1135swZMjIyaNWqlWvdE088werVqxkyZAhhYWG8/fbb5fYdNGgQV199dYVj5uXlkZeX5/o+KyurXu9FRESkqXP2K5keI3tHNqNyRvH2/rehZ8nVsr+Nr/xuV2NRKKtB6VxiADExMVVuV3ZdWlpauVCWnJwMwJYtW9iyZUuFfePj4ysNZc8995wewyQiIuJh7ea048C0A0yyT+Ldr9+lsGchCfsT+OMdf6Rt87aW1aXblzXIzs52fR0aGlrldmXXld0H4KuvvsI0zSpf999/f6XHnD9/PpcuXXK9Tp48Wb83IyIiIkRMiiAoMghngZNbTt+C/YydguIC/vrNXy2tS6HMizkcDpxOZ7mXiIiI1I8tyEb0I943PYZCWQ3CwsJcX+fk5FS5Xdl1ZfcRERER7xP9k2jX9BjdUrp5xfQYCmU1iI6Odn393XffVbld2XVl9xERERHvE9Q2qML0GGGBYWTmZlpWk0JZDa677jpstpIf0/79+6vcrnRdZGRkuUH+nhAXF0f37t3p16+fR48rIiLSlJVOjzGMYbTc3pK7DtzFI/0esawehbIahIaGMnjwYAA++eSTSrcxTZNPP/0UgBEjRni8htmzZ5OSksKuXdbPoSIiIuIvnP2cOAc4CSgOYFT+KD74+wecPn3asnoUytwwc+ZMADZt2sSOHTsqrF+zZg1Hjx4FYMaMGY1am4iIiNRd6dWySfZJmAWm69GJVmhSoezixYucP3/e9SqdFDYnJ6fc8suXL5fbb+bMmfTs2RPTNJk4caLr+ZbFxcWsWbOGhx56CCiZ8X/48OGN+6ZERESkziIm/md6jAW3LmDChAmW1WKYpmladvZGFhsby/Hjx2vcbubMmaxcubLcsmPHjjFs2DCOHTsGlNzWLC4uJjc3F4BevXqxceNGWrZs6emyXbKysggPD+fSpUuaHkNERMRDjj1zjGMLj+Ec4KT39t4eP767f7+b1JWy+oiNjWXv3r0sWLCAHj16YBgGdrudPn36sHTpUhITExs0kImIiEjDKJ0eIysxi6xd1j3SsEldKfNVcXFxxMXFUVRUxLfffqsrZSIiIh52YMYB0t9KJ2ZuDNe8dI1Hj+3ulTKFMh+i25ciIiIN4/v//Z4rR67Q+u7WGAGGR4/t7t9vPZBcREREmrxm1zej2fXNLK1BY8pEREREvIBCmYiIiIgXUCgTERER8QIKZSIiIiJeQKHMB+iB5CIiIv5PU2L4EE2JISIi4ns0o7+IiIiID1EoExEREfECCmUiIiIiXkChTERERMQLKJSJiIiIeAGFMh+gKTFERET8n6bE8CGaEkNERMT3uPv3O7ARa5J6Ks3PWVlZFlciIiIi7ir9u13TdTCFMh+SnZ0NQPv27S2uRERERGorOzub8PDwKtfr9qUPKS4uJi0tjbCwMAzDcC3v168fu3btqnSfytb997KsrCzat2/PyZMnLb8tWt17aczj1WY/d7ataZuq1ru7XD2s33717WFd1qmHnt2vsXtY2TJ/7WF9juXuvv7+e9Q0TbKzs4mOjsZmq3o4v66U+RCbzUa7du0qLA8ICKjyH1Bl66ra3ul0Wv6LpLr30pjHq81+7mxb0zZVra/tcvWwbvvVt4d1Waceena/xu5hddv7Ww/rcyx3920Kv0eru0JWSp++9AOzZ8+u1brqtreap2ur6/Fqs58729a0TVXra7vcGzTFHtZlnXro2f0au4fe3D/wbH31OZa7++r3aAndvhR9qtMPqIe+Tz30feqhb/OG/ulKmeBwOFi4cCEOh8PqUqSO1EPfpx76PvXQt3lD/3SlTERERMQL6EqZiIiIiBdQKJMGd/DgQRwOB4Zh8Mknn1hdjrjhxIkTTJ8+nWuvvRan00nz5s3p0aMHzzzzjGu+PPFuycnJPP7449x4442uHg4YMIBVq1ZZXZq46fLlyyxatIhRo0YRGRmJYRjcf//9Vpcl/6WoqIjnn3+eLl264HA46Ny5M4sXL6awsLDWx9KUGNLgHnnkEex2O/n5+VaXIm5KT0/n1KlTjB8/nvbt2xMQEEBSUhKLFy/mo48+Yvv27djtdqvLlGosWbKEjRs3MnHiRGbPns3ly5eJj49n+vTpHD58mIULF1pdotTg/Pnz/Pa3vyUqKoq+ffuyfv16q0uSSjz66KO8+uqr3HPPPcybN4+kpCQWLFhAamoqr7/+eu0OZoo0oDfffNMMCQkxFy5caALmhg0brC5J6mHJkiUmYK5fv97qUqQG27ZtM69cuVJuWU5Ojtm1a1fTbrebGRkZFlUm7srNzTVPnTplmqZpXrlyxQTMmTNnWluUlLN3717TMAxzypQp5Zb/6le/MgFz165dtTqebl9Kg7l48SJPPvkk8+fPJzY21upyxANK+3jx4kVrC5EaDRo0iODg4HLLQkJCGDVqFAUFBRw6dMiiysRdDoeDmJgYq8uQaiQkJGCaJnPmzCm3vPT7hISEWh1PoUwazLx58wgLC+NXv/qV1aVIHeXm5nL+/HlOnjzJxx9/zPz58wkODmbIkCFWlyZ1lJaWBkBERITFlYj4vqSkJGw2G3379i23PCYmhpiYGJKSkmp1PIUyL5eTk8OGDRtYvHgxEyZMoGPHjhiGgWEYLFq0yK1jZGdns2jRInr27Enz5s0JDw+nX79+vPDCCw02zisxMZHXXnuNZcuWNfk5e3y1hwArVqwgIiKCDh06MGbMGIKCgli3bh3t27dvsHN6I1/uYVkpKSmsXbuWAQMG0Llz50Y5p7fwlx5KRVb2Ni0tjauuuoqgoKAK66Kjo/nuu+9q9V400N/L7dy5k5EjR9Z5/+PHjzN06FCOHTsGQGhoKHl5eSQlJZGUlMSqVavYuHEjLVu2rLBvfn4+e/fudes8ISEhXH/99UDJJ1F++tOfMnr06HrV7i98sYelxo0bx7XXXsulS5f4+uuv+fLLL8nKyqrze/FVvtzDUllZWUyePBmbzcby5cvr/F58lT/0UCpnZW9zcnKqvPAQHBzMlStXaleMB8e7SQPYtGmT2bJlS3P48OHmk08+ab777rtmZGSkCZgLFy6sdt/CwkKzZ8+eJmBGRUWZn3/+uWmapllUVGQmJCSYYWFhJmDeddddle6fmppqAm69rr/+etd+L7zwghkSEmIePXrUtSw+Pr7JDvT3xR5W5e9//7sJuOpoKny9hzk5OeaQIUPMwMBA88MPP6zXz8JX+XoPNdC/alb2tnv37mabNm0qXdevXz+zc+fOtXovulLm5W655RYyMjLKLZs3b55b+65cuZJ9+/YB8P777zNw4EAAbDYbU6ZMobi4mPvuu48NGzawceNGhg8fXm7/yMhINm3a5Na5mjVrBsClS5dYuHAh06dPp6ioiMOHDwNw9uxZAE6fPs3hw4fp1KkTAQEBbh3b1/laD6szYcIEgoODiY+P5/bbb3fruP7Al3uYn5/P+PHj2bp1K6tWrWLs2LFuHcvf+HIPpXpW9rZdu3YcPHiQ/Pz8Crcw09LSaj9MoFYRTrxCx44d3fofwC233GIC5rBhwypdX1xcbHbq1MkEzBkzZnikNnf/R3j69GmPnM9XeXMPq5Obm2sGBgZW+b/GpsQXelhQUGCOHTvWNAzDfOONNzx6bH/gCz0spStltdNYvZ0/f74JmNu2bSu3/NSpUyZgPv7447WqWwP9/VROTg7btm0D4K677qp0G8MwuPPOOwH47LPPPHLeNm3asGbNmgqv2bNnA/D000+zZs2aSu/NS3lW9RBKJo+tzPLlyyksLKR///4eO5c/s7KHxcXFTJ8+nXXr1hEXF8esWbM8duymxMoeSsPyRG+nTJmCYRgsW7as3PLS76dMmVKrmnT70k8dOHCA4uJiAHr06FHldqXrzpw5Q0ZGBq1atarXeUNDQ5k0aVKF5ZcvXwbg5ptvdv0Dl+pZ1UOA//mf/yElJYU77riDjh07cvnyZbZs2cJHH31Et27dmDt3br3P0RRY2cMnnniC1atXM2TIEMLCwnj77bfLrR80aBBXX311vc/j76zsIcCf//xnMjMzXY/s2bt3L4sXLwZgyJAhmp6mHjzR2xtvvJGHH36Y5cuXY5omI0aMICkpieXLlzNz5kx+8IMf1KomhTI/VToXEVDt5INl16WlpXnsF4nUn5U9nDBhAhcuXODNN9/k3LlzBAYG0qVLF37961/zxBNP4HQ6632OpsDKHiYnJwOwZcsWtmzZUmF9fHy8QpkbrP5dunTpUo4fP+76fvfu3ezevRuAhQsXKpTVg6d6++c//5mOHTuyYsUKPvzwQ6Kjo1m0aBHz58+vdU0KZX6q7EOjQ0NDq9yu7LqGfND0/fffrwfp1pKVPRwzZgxjxozxyLGaMit7+NVXX3nkOE2d1b9LS6dpEM/zVG8DAwOZP39+nULYf9OYMhEREREvoFDmp8LCwlxf5+TkVLld2XVl9xHrqYe+Tz30feqh//LG3iqU+ano6GjX19U95qHsurL7iPXUQ9+nHvo+9dB/eWNvFcr81HXXXYfNVtLe/fv3V7ld6brIyEgN8vcy6qHvUw99n3rov7yxtwplfio0NJTBgwcD8Mknn1S6jWmafPrppwCMGDGi0WoT96iHvk899H3qof/yxt4qlPmxmTNnArBp0yZ27NhRYf2aNWs4evQoADNmzGjU2sQ96qHvUw99n3rov7yut7Wa/18skZGRYZ47d871at++vQmYTz75ZLnl2dnZ5fYrKChwPWg1JibG/OKLL0zTLHnQ6t///nfT6XRW+6BV8Rz10Peph75PPfRf/tJbhTIfUPoMr5pelT0TLTU11YyNjXVtExoaagYHB7u+79Wrl5mRkdH4b6qJUQ99n3ro+9RD/+UvvdXtSz8XGxvL3r17WbBgAT169MAwDOx2O3369GHp0qUkJibqOZReTj30feqh71MP/Zc39dYwTdNslDOJiIiISJV0pUxERETECyiUiYiIiHgBhTIRERERL6BQJiIiIuIFFMpEREREvIBCmYiIiIgXUCgTERER8QIKZSIiIiJeQKFMRERExAsolImIiIh4AYUyERERES+gUCYiIiLiBRTKRERERLyAQpmIiFgiOTmZJUuWMHnyZGJjYzEMA8MwOHbsmNWliVgi0OoCRESkaXrmmWdYt26d1WWIeA2FMhERscTAgQPp2bMnffv2pW/fvvTp04f09HSryxKxjGGapml1ESIiIpGRkaSnp5OamkpsbKzV5Yg0Oo0pExGPW7BggWt80D//+U+ry6nRypUrXfWWfbVo0cLq0qQSmZmZlfbLMAy++uorq8sTqTOFMhHxuOTkZABsNhs33XSTtcU0INM0adGiRblQMHjwYLf3f/311yuEihdffLEBKxYRb6YxZSLicaWhrGvXroSFhVlcTe08+uij3HbbbQDY7fZqtz1y5AiXLl0qt2z//v1unScrK4unn366wvI+ffq4WWnT1axZMz744APX9wkJCaxevdrCikQ8Q6FMRDzqzJkznD59GvDNgNG7d2/GjRvn1ral4RNKAlxBQQFZWVkcP36cjh07VrvvM888Q3p6OjabDdM0MU0TwzDo1atXfcpvEux2e7ke7dmzx7JaRDxJoUxEPOqbb75xfe2Loaw2yr7X0aNHs3btWgD27dtXbSg7dOgQy5YtA2DkyJH84x//AKBLly44nc4GrNgzZsyYwc6dO2u1z/jx43nuuecaqCIR/6BQJiIeVfbqkb+HsrLv9YEHHigXykaNGlXlfo899hgFBQU4nU4mTpzoCmW9e/du2II95MSJExw6dKhW+5RePRWRqmmgv4h4VGlQqe5WXFFREU8//TQ2mw3DMLjmmmvYu3dvY5bpEbt37wbA4XAwYsQIrrrqKqD6cWXr169nw4YNACxcuJBTp0651lUVYseMGYNhGNhsNi5fvkx6ejoLFixg8ODBtGnThqCgICIiIhgzZgxbtmyp1Xs4cOAAv/71r7n55puJiorC4XDQvHlzevbsyezZs9m4cSOFhYXl9vnqq69ct1zdfa1cubJWdYk0SaaIiAd16NDBBMxu3bpVuv706dPmrbfeagImYI4dO9bMzMxs5CrLi4+Pd9UTHx/v1j6pqamuffr27WuapmnefvvtJmD27Nmz0n3y8vLMrl27un4++fn55vjx413H+eKLLyrdLyYmxgTMrl27mgkJCWbz5s1d+/z3yzAMMy4ursb6z58/b06ePNk0DKPKY5W+Pv30U7d+JvXVtm1bEzBTU1Nrtd/ChQtdtW7atKlBahNpDLp9KSIec+HCBU6cOAFUftVn06ZN3HfffZw5c4aAgAB+97vfMW/ePAzDaOxS663srcvS24433XQTX3zxBQcPHqSgoKDCpzdffvllvv32WwBefPFF7HZ7pccp69y5c3z33XcAXLp0iWnTplFUVMTNN9/MhAkTiImJ4eTJk7zxxhukpKRgmiZz585lyJAh9OjRo9Lajx49ytChQzl58iQAERERTJgwgb59+xIeHk5GRga7du1i7dq1XLx4kb59+9bjJyUi7lIoExGPqWqQv2maPPfccyxYsICioiIiIiJISEhwTT3hi6oKZQAFBQUcOnSoXChKT0/nd7/7HVAyuH/kyJFkZGRw/PhxADp16kTLli0rnKfszzQ9PZ2QkBDi4+OZMmVKue1+/vOfM2zYMLZv305hYSFxcXG8+uqrFY539uxZfvjDH7oC2WOPPcbixYsJDQ0tt91PfvITXnnlFeLj42nVqpXbPxcRqTuFMhHxmMoG+V+4cIEf/ehHrnFUAwcOZM2aNcTExFhSo6eUDUv/HcqgZLB/2VA2b948srOzsdvt/OlPf6pwjKrGk5X9mRqGwZo1a7j77rsrbOdwOHj++ecZMmQIQJUz28+YMYPDhw8D8NRTT/Hss89W+R5DQkL42c9+VuX6+lq/fr0rqAJkZGQAJZ/UdDgcANx999385je/abAaRLyJQpmIeMx/D/JPTEzknnvucV2V+fnPf+66befrSgf5BwYGcsMNNwBw7bXXEhwcTG5ubrnB/rt27eLNN98EYM6cOXTt2hVw75OqZbeZNWtWpYGs1ODBg13zpZX+zMv66KOP+PTTTwG47bbbWLx4sVvvtaGcO3eOHTt2VFhedt6xa6+9thErErGWPn0pIh5TeuXnmmuuIT4+niFDhnDy5EmaNWvGO++8wyuvvOIXgezUqVOkp6cD0L17d9dVnYCAANfVsX379gElt27nzJmDaZq0adOGBQsWuI5T03iystsYhsFTTz1VbV02m43o6Gig5BOu/+33v/+961hLly61fCzf/fffr09tipShUCYiHnHp0iVSU1OBkscP/eIXv6CgoIBu3bqxc+dO7r33Xosr9JzqwlTpLczSUPb222+TmJgIlISispPD1hTKMjMzXT/TwYMH07lz5xpru3z5MgCRkZHllqelpbkmfO3fv7+eHCDihRTKRMQjkpOTMU0TgODgYNfySZMm0b17d6vKahDuhLLjx49z+vRp5s2b59pu1qxZru2ysrI4cuQIAB06dHDNcVbVeYYOHVpjXefOnXONy+rQoUO5dRs3bnT1p7qJbUXEOgplIuIRZQPEW2+95RoL9Oyzz/LWW29ZVVaDqGyQf6nSK1CmaTJ9+nTS0tIAWLZsGTbbf37llg2x7own69atW411ffnll65j3nHHHeXWlZ2k9pprrqnxWCLS+BTKRMQjygaVYcOGsX79etfVnwcffLDKTwP6otKwZLPZyn3iEuCGG25wha8vv/wSgHvvvZfBgwdXegyoeTwZ4NYzMUs/TAAlTwEoq3QMHFDp1BsiYj2FMhHxiNIAERsbS4sWLbj66qtZt24dwcHB5OfnM378eA4cOGBxlfWXnp7uuvrVtWtXmjVrVm598+bNy439Cg0NZcmSJRWOU9tPXpZOIFuV3bt3uz5ZOWLECNcnQksFBQW5vj537ly1xxIRayiUiUi9Xb58mX//+98A5QaQDxo0iJUrV2IYBpmZmdx9992cPXvWqjI9orpbl6UmTJhA//796d+/P8899xzt2rWrsE1NV8rK/kwBtm7dWmVNV65c4eGHH6a4uBjDMCqd6qLsLctPPvmkymOJiHUUykSk3vbs2UNxcTFAhdt5U6ZMcYWE1NRURo8ezZUrVxq7RI9x57bjH/7wBxITE0lMTGTOnDkV1n///fccOnQIgJiYGNq2bVthm927d7t+pgAJCQls3769wnbnz59n/PjxJCUlASUPOe/Xr1+F7UaOHOmajuSdd97ho48+qvI9nj9/noSEhCrXi0jD0OSxIlJvZa8eVTbVwlNPPcWRI0d444032LlzJ9OmTeO9994rN/DdV7gTympSNsS6M55s0qRJvPfeewwfPpyHHnqIAQMGkJ+fzzfffMOqVatcn7icOHFiuXnQyoqJiWHu3LksXbqUoqIixo0bx6hRo7jjjjuIiooiNzeXI0eOsHXrVjZv3szEiROZOnVqnd6fiNSNQpmI1FvZAFHV/Fd/+ctfOH78OBs3buSDDz7gl7/8petxQ76kpgDqjtqOJ3vppZcAeO+991i2bBnLli0rt63NZmPu3Ln88Y9/rHZC2D/84Q9kZmayYsUKTNPk448/5uOPP650W81jJtL4fO+/qSLidUoDROvWrSsdPwVgt9t57733uO6664CSoPHKK680Wo2ecOHCBU6cOAHA1VdfTYsWLep0nNp88rJt27bExMSwevVqXnvtNQYOHEirVq0ICQmhS5cu/PSnP2XPnj28+OKLBAQEVHvegIAAXnvtNbZt28YDDzxAt27daNasGXa7nejoaPr06cMjjzzC+vXrmTt3bp3em4jUna6UiUi9lc5eX5MWLVqQkpLSwNU0nNatW7vmAauP+Ph44uPjq1yfm5vLwYMHgf+ENpvNxoMPPsiDDz5Y7/MPGjSIQYMG1fs4IuJZulImIuJl/vWvf1FYWAjoNqJIU6IrZSIiZcyaNcv1OKTw8HAyMzMbvQZ3xug1ZZmZmZoAV/ySrpSJiHgZT3zCU0R8j66UiUiTd9ttt/HBBx9UWF46r1djKw1l4eHhdOrUyZIavFmzZs0q7RdAjx49GrkaEc8xTE+MWhUREY8oKCigefPm5Ofnc+utt/rVM0NFpHoKZSIiIiJeQGPKRERERLyAQpmIiIiIF1AoExEREfECCmUiIiIiXkChTERERMQLKJSJiIiIeAGFMhEREREvoFAmIiIi4gUUykRERES8gEKZiIiIiBdQKBMRERHxAgplIiIiIl7g/wAzZNzpL/VA+QAAAABJRU5ErkJggg==", "text/plain": [ "<Figure size 640x480 with 1 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "k = np.logspace(-4, 0) # 1 / Mpc units\n", "\n", "Pk_GR = ccl.linear_matter_power(cosmo_GR, k, a=1.)\n", "Pk_1 = ccl.linear_matter_power(cosmo_1, k, a=1.)\n", "Pk_2 = ccl.linear_matter_power(cosmo_2, k, a=1.)\n", "\n", "plt.loglog(k, Pk_GR, 'k', label='GR')\n", "plt.xticks(fontsize=18)\n", "plt.yticks(fontsize=18)\n", "plt.loglog(k, Pk_1, 'g', label='$\\mu_0$ ='+str(mu_0[0]))\n", "plt.loglog(k, Pk_2, 'm', label='$\\mu_0$ ='+str(mu_0[1]))\n", "plt.xlabel('$k\\quad[Mpc^{-1}]$', fontsize = 22)\n", "plt.ylabel('$P(k)\\quad[{\\\\rm Mpc}]^3$', fontsize=22)\n", "plt.legend(fontsize=12)\n", "plt.show()" ] } ], "metadata": { "kernelspec": { "display_name": "ccl_dev", "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": "3.10.9" } }, "nbformat": 4, "nbformat_minor": 2 }