{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "This tutorial will cover how to generate UVLFs from Zeus21. It is recommended to do the basics tutorial first, to get a handle on how the code works. That said, this can stand on its own, so let's go!" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import zeus21\n", "from matplotlib import pyplot as plt\n", "import numpy as np\n", "import copy\n", "\n", "# Set up the user parameters\n", "UserParams = zeus21.User_Parameters(precisionboost=1.2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We first set up the cosmology and astrophysics. \n", "\n", "We do not need to go as far as the 21-cm calculation when doing UVLFs. We do not need the Coeff or PS21 structures (since we won't compute 21-cm in this tutorial), nor do we need the correlation functions. We do need the HMFs, though.\n", "\n", "The astrophysical parameters are shared between the UVLF and the 21-cm calculation, so one can jointly do inference. " ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "# Set up the Zeus21 cosmology\n", "CosmoParams = zeus21.Cosmo_Parameters(UserParams=UserParams, HMF_CHOICE=\"ST\", zmin_CLASS=0.0) # CLASS is automatically run by the Cosmo_Parameter class; make sure to provide zmin_CLASS lower than default (5.0) if you want lower z results (e.g. HMFs)\n", "HMFinterp = zeus21.HMF_interpolator(UserParams, CosmoParams) # HMF at all desired z and M; here HMF from Sheth&Tormen2002 (https://arxiv.org/abs/astro-ph/0105113)\n", "\n", "# Set up the astrophysical parameters\n", "AstroParams = zeus21.Astro_Parameters(CosmoParams=CosmoParams, accretion_model=\"exp\") # Here exponential accretion model, as in https://arxiv.org/abs/2306.09403" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we have to define the LF parameters. You can run with the default set, but let's spice things up a bit. Let's define two:\n", "- one with a standard halo-galaxy connection;\n", "- one with a very stochastic halo-galaxy connection, but lower UV brightness per galaxy (smaller f* at peak).\n", "\n", "We also have to define the redshift and magnitudes over which to plot. You give an arbitrary \\ and width dz, and the code will assume the selection function is a Gaussian around it. For magnitudes, you provide centers and widths of bins, assumed to be tophats. It will then generate the UVLF under those specs. Make sure the binning of z and MUV are the same as whatever data you're considering!" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "z, dz = 5.0, 0.5 # Central z and width (assumed Gaussian)\n", "\n", "MUV_centers = np.linspace(-17,-23,13) # Centers of MUV bins\n", "MUV_widths = -np.diff(MUV_centers)\n", "MUV_widths = np.append(MUV_widths, MUV_widths[-1])\n", "\n", "# Set up the LF parameters\n", "LFParams_std = zeus21.LF_Parameters(zcenter=z, zwidth=dz, MUVcenters=MUV_centers, MUVwidths=MUV_widths)\n", "LFParams_bursty = zeus21.LF_Parameters(zcenter=z, zwidth=dz, MUVcenters=MUV_centers, MUVwidths=MUV_widths, sigmaUV=0.9)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "So we can now compute and plot the UVLFs with our adopted parameters. If you're new to the world of the UVLFs, note that the x axis is a UV absolute magnitude, and y is the comoving number density of galaxies at that magnitude (divided by the width of the bin)." ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/home/alessandra/SynologyDrive/numerics/zeus21/zeus21_v2_20260630_UVLF-tutorial/zeus21/LFs.py:473: RuntimeWarning: divide by zero encountered in log10\n", " return constants.zeropoint_ABmag_ergsHz - 2.5 * np.log10(L) # AB magnitude\n" ] }, { "data": { "text/plain": [ "" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "UVLF_std = zeus21.LFs.LF_class(UserParams, CosmoParams, AstroParams, HMFinterp, LFParams_std).UVLF_tot # AV: using aliases for the new output types defined in LFs, here and in the following\n", "UVLF_bursty = zeus21.LFs.LF_class(UserParams, CosmoParams, AstroParams, HMFinterp, LFParams_bursty).UVLF_tot\n", "\n", "plt.semilogy(MUV_centers, UVLF_std, 'k-', label=\"Std.\")\n", "plt.semilogy(MUV_centers, UVLF_bursty,'r--', label=\"Bursty\")\n", "plt.xlim(-22,-17)\n", "plt.ylim(1e-6,1e-1)\n", "plt.xlabel(r'$M_{\\rm UV}$');\n", "plt.ylabel(r'$\\Phi_{\\rm UV}\\,\\rm [Mpc^{-3}\\,mag^{-1}]$')\n", "plt.legend()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's play around with parameters." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# First, let's change the astrophysical parameters alpha and beta too to see what they do\n", "AstroParams_lowalpha = copy.deepcopy(AstroParams)\n", "AstroParams_lowalpha.alphastar -= 0.2\n", "UVLF_lowalpha = zeus21.LFs.LF_class(UserParams, CosmoParams, AstroParams_lowalpha, HMFinterp, LFParams_std).UVLF_tot\n", "\n", "AstroParams_lowbeta = copy.deepcopy(AstroParams)\n", "AstroParams_lowbeta.betastar -= 0.2\n", "UVLF_lowbeta = zeus21.LFs.LF_class(UserParams, CosmoParams, AstroParams_lowbeta, HMFinterp, LFParams_std).UVLF_tot\n", "\n", "# And the dust assumptions in the LF parameters -- they can be degenerate! (Beware, these are measured independently, see Refs.)\n", "LFParams_lessdust = copy.deepcopy(LFParams_std)\n", "LFParams_lessdust.C0dust -= 0.1\n", "UVLF_lessdust = zeus21.LFs.LF_class(UserParams, CosmoParams, AstroParams, HMFinterp, LFParams_lessdust).UVLF_tot\n", "LFParams_nodust = copy.deepcopy(LFParams_std) # Added by AV for one-to-one comparison previous tutorial: note that small discrepancy with respect to previous notebook in both UVLF and bias at the bright end, likely due to the different dust loop, while results are recovered with no dust --> TODO: discuss changes with others and whether we should give a warning of some sort\n", "LFParams_nodust.DUST_FLAG = False\n", "UVLF_nodust = zeus21.LFs.LF_class(UserParams, CosmoParams, AstroParams, HMFinterp, LFParams_nodust).UVLF_tot\n", "\n", "plt.semilogy(MUV_centers, UVLF_std, 'k-', label=\"Std.\")\n", "plt.semilogy(MUV_centers, UVLF_lowalpha,'b--', label=\"Low alpha\")\n", "plt.semilogy(MUV_centers, UVLF_lowbeta,'g--', label=\"Low beta\")\n", "plt.semilogy(MUV_centers, UVLF_lessdust,'r-.', label=\"Less dust\")\n", "plt.semilogy(MUV_centers, UVLF_nodust,'m-.', label=\"No dust\")\n", "plt.xlim(-22,-17)\n", "plt.ylim(1e-6,1e-1)\n", "plt.xlabel(r'$M_{\\rm UV}$');\n", "plt.ylabel(r'$\\Phi_{\\rm UV}\\,\\rm [Mpc^{-3}\\,mag^{-1}]$')\n", "plt.legend()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Zeus allows to compute the bias as a function of MUV as well. Let's do that and plot it!" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "LFParams_std_bias = copy.deepcopy(LFParams_std)\n", "LFParams_std_bias.RETURNBIAS = True\n", "bias_UVLF_std = zeus21.LFs.LF_class(UserParams, CosmoParams, AstroParams, HMFinterp, LFParams_std_bias).UVbias_tot # AV: now we can directly compute the normalized bias!\n", "\n", "LFParams_bursty_bias = copy.deepcopy(LFParams_bursty)\n", "LFParams_bursty_bias.RETURNBIAS = True\n", "bias_UVLF_bursty = zeus21.LFs.LF_class(UserParams, CosmoParams, AstroParams, HMFinterp, LFParams_bursty_bias).UVbias_tot\n", "\n", "#LFParams_nodust_bias = copy.deepcopy(LFParams_nodust) # TODO: remove this part, used for debugging purposes, in order to compare with previous notebook given the different dust loop\n", "#LFParams_nodust_bias.RETURNBIAS = True\n", "#bias_UVLF_nodust = zeus21.LFs.LF_class(UserParams, CosmoParams, AstroParams, HMFinterp, LFParams_nodust_bias).UVbias_tot\n", "\n", "plt.plot(MUV_centers, bias_UVLF_std, 'k-', label=\"Std.\")\n", "#plt.plot(MUV_centers, bias_UVLF_nodust, 'k-.', label=\"No dust\")\n", "plt.plot(MUV_centers, bias_UVLF_bursty, 'r--', label=\"Bursty\")\n", "plt.xlim(-22, -17)\n", "plt.ylim(0, 10)\n", "plt.xlabel(r'$M_{\\rm UV}$')\n", "plt.ylabel(r'bias, $b$')\n", "plt.legend()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note a possible issue: for no/low stochasticity (sigmaUV~0) the UVLF becomes noisy because there are not enough halos in each MUV bin. Can be fixed change precisionboost in constants.py - as we'll do in the next part for Pop IIIs." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now let's add Pop III stars. Note that Pop IIIs will normally be very faint, so you'll need to go to fainter MUVs to see their effect. We also need higher precisionboost for higher accuracy at these faint MUVs, so we need to recompute the cosmology." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "UserParams_III = zeus21.User_Parameters(precisionboost=2.2) # For accurate results down to MUV~-6\n", "\n", "CosmoParams_III = zeus21.Cosmo_Parameters(UserParams=UserParams_III, HMF_CHOICE=\"ST\")\n", "HMFinterp_III = zeus21.HMF_interpolator(UserParams_III, CosmoParams_III)\n", "\n", "AstroParams_III = zeus21.Astro_Parameters(CosmoParams=CosmoParams_III, accretion_model=\"exp\", USE_POPIII=True) # USE_POPIII = True in the astrophysical parameters to add Pop IIIs to the SFR calculation\n", "\n", "z_III, dz_III = 15.0, 0.5 # We pick a higher redshift to better see the effects at the low-mass end\n", "\n", "MUV_centers_III = np.linspace(-5,-23,100) # We extend to fainter MUVs and increase the number of MUV points\n", "MUV_widths_III = -np.diff(MUV_centers_III)\n", "MUV_widths_III = np.append(MUV_widths_III, MUV_widths_III[-1])\n", "\n", "LFParams_III = zeus21.LF_Parameters(zcenter=z_III, zwidth=dz_III, MUVcenters=MUV_centers_III, MUVwidths=MUV_widths_III, SKIP_POPIII=False) # SKIP_POPIII = False is needed to add the Pop III UVLF calculation - note that this only works if USE_POPIII = True in the astrophysical parameters!" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/home/alessandra/SynologyDrive/numerics/zeus21/zeus21_v2_20260630_UVLF-tutorial/zeus21/LFs.py:473: RuntimeWarning: divide by zero encountered in log10\n", " return constants.zeropoint_ABmag_ergsHz - 2.5 * np.log10(L) # AB magnitude\n" ] }, { "data": { "text/plain": [ "" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Now we can compute both the Pop III and Pop II components to the UVLF and look at the two contributions separately\n", "LFs = zeus21.LFs.LF_class(UserParams_III, CosmoParams_III, AstroParams_III, HMFinterp_III, LFParams_III)\n", "UVLF_tot = LFs.UVLF_tot\n", "UVLF_pop2 = LFs.UVLF_pop2\n", "UVLF_pop3 = LFs.UVLF_pop3\n", "\n", "# We first plot the SFR per unit halo mass for both components to show what's going into the UVLFs\n", "SFRD = zeus21.sfrd.SFRD_class(UserParams_III, CosmoParams_III, AstroParams_III, HMFinterp_III)\n", "SFE_pop2 = SFRD.SFE(CosmoParams_III, AstroParams_III, HMFinterp_III.Mhtab, z_III, pop=2)\n", "SFE_pop3 = SFRD.SFE(CosmoParams_III, AstroParams_III, HMFinterp_III.Mhtab, z_III, pop=3, vCB=False, J21LW_interp=SFRD.J21LW_interp_conv_avg) # Note that here we need to provide vCB and LW explicitly for this to work, as by default these are put to None, so it doesn't work --> TODO: discuss default init of vcb and J21LW in SFRD for simmetry; also at what z is the conv. avg. computed?\n", "plt.figure()\n", "plt.loglog(HMFinterp_III.Mhtab, SFE_pop2, 'g--', label=\"Pop II\")\n", "plt.loglog(HMFinterp_III.Mhtab, SFE_pop3, 'r-', label=\"Pop III\") # TODO: check slightly higher Pop III SFE than in default by Cruz+25 fig. 2? (this should account correctly for the factor 2 in normalization after replacing the old fstar_III with epsstar_III = fstar_III/2 for symmetry with Pop IIs, perhaps it's something in the LW that is different?)\n", "plt.xlim(1e5, 1e13)\n", "plt.ylim(1e-5, 1e-1)\n", "plt.xlabel(r\"$M_{\\rm h} \\; [\\mathrm{M_\\odot}]$\")\n", "plt.ylabel(r\"$\\dot{M}_\\star / \\dot{M}_\\mathrm{h}$\")\n", "plt.legend()\n", "\n", "# And then the resulting UVLFs\n", "plt.figure()\n", "plt.semilogy(MUV_centers_III, UVLF_pop2, 'g--', label=\"Pop II\")\n", "plt.semilogy(MUV_centers_III, UVLF_pop3, 'r-', label=\"Pop III\")\n", "plt.semilogy(MUV_centers_III, UVLF_tot, 'k:', label=\"Tot.\")\n", "plt.xlim(-22, -6)\n", "plt.ylim(1e-6, 1e2)\n", "plt.xlabel(r'$M_{\\rm UV}$')\n", "plt.ylabel(r'$\\Phi_{\\rm UV}\\,\\rm [Mpc^{-3}\\,mag^{-1}]$')\n", "plt.legend()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Then we play around with the physics affecting Pop III star formation at the low-mass end: LW feedback and streaming velocities (see e.g. https://arxiv.org/abs/2407.18294)." ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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xiuxLEiohhBB51s2bMHq06tb75x+VVFlbw1tvqYSqUydo1QoKFMjqSEV2JwmVEEKIPCMkBK5fh1dfVe+LFIGNG1W18lOnIH5FqW+/zbIQRQ4lCZUQQohc7epVVdJgzRo4eFAV0jx9Wu3Lnx8WLIBKlaBmzSwNU5hDRISqaXH3Lty7px5378KNGya/lCRUQgghcp3z52H1avU4ccJwn729WlbVwUG979Mn8+MTGaRp8OSJqlFx507Kj7t31XN8XYtMIAlVBkgdKiGEyF40TXXZrVmjkqjAwBf7LCygcWPo2lWNiZJB5dlQbKxqPQoJUclSwufE254+Td+57eygeHH1KFZMPRcsaPJ+XamUbgSplC4yw7///kv//v0JCAigcuXKBAQEmOU6V69epWzZspw8eZJatWplSsX7xNd8Gfl/JRKLiIApU+D33+HKlRfbra3VQsNdukDHjup3qMgCmgaPH8OtW2oGwK1bhq/jn2/fVklVWtnbqyqqzs5JH8WLG74vUCBJbQuplC4yRf/+/Vm2bBkAVlZWuLq60qVLFz799FPs7e3Ndt0yZcowatQoRo0alab3pnDt2jVeeeUV7t27l6H/VP379+fx48esW7fOYHvJkiUZNWoU48eP128bP348M2bMYPv27bRo0UK/vUWLFjg7O/Pzzz8ne43Jkydjb2/P+fPncYjvoxAij9I0NajczU29z5cPfvpJ/U62s4PWrVVL1BtvyHp5Zqdp8OCB+obcuKEe8a/jn2/eVCP+08LCQiVDJUuqZKlEiRevE24rUeJFf202IgmVSFbr1q1ZsmQJ0dHR7Nu3j0GDBhEREcH8+fOzOjST+uOPP2jWrJnJ/kKJ16xZM3bt2mWQUO3evRtXV1d27dqlT6iioqI4dOgQc+bMSfFcly9fpl27dri7u5s0RiFymosX4fXX1e/nkBCwtFS/gz//XA0ub9tWNVwIE3n6FIKD1ePaNfUIDjZMoJ4/T9u5HB3BxUWVlk/puXhx9U3NoSyyOgCRPdna2lKiRAlcXV3p3bs3b731lr4VJjIykhEjRlC8eHHs7Oxo1KgRR48e1X929+7d6HQ6Nm3ahIeHB3Z2dtSvX5/T8dNqzOD06dNYWFhw//59AB49eoSFhQXdunXTHzN9+nS8vLwMPvfHH3/QoUMHAOLi4pgyZQqlS5fG1taWWrVqsXnz5gzF4+3tzYEDB4iJiQHgyZMnnDx5kg8++IDdu3frj/v777959uwZ3t7eyZ5Hp9Nx/PhxpkyZgk6n45NPPgHg5s2b9OjRgyJFilC0aFE6duzI1atXDT67ZMkSqlSpgp2dHZUrV2bevHkG+48cOULt2rWxs7Ojbt26nDx5MtkYDhw4kOL38cGDB/Tq1YvSpUuTP39+atSowS+//GLw+bi4OL788ksqVKiAra0tbm5ufPbZZ8leKy4ujsGDB/PKK69w7dq1ZI8ReUNcHBw4AH/88WJbmTJqMPmzZ2rQebx+/aBbN0mm0u3xYzh5Etauhdmzwc9PNe/VrauSG3t7qFJFFeJ691347DNYvhx271bl4+OTKWdn8PRUfavDh8MXX8CKFbBnD1y+rL5hDx6oqZWbN8PixTB1Kgwdqqql1q2rWqBycDIF0kKVJTIy6cDWFqz++27FxEBkpPrLLF++l5/XFD9k8uXLR3R0NADjxo1j9erVLFu2DHd3d2bMmEGrVq24dOkSjo6O+s+MHTuWOXPmUKJECT788EM6dOjAhQsXsLa2Nj6gRKpXr07RokXZs2cPXbt2Ze/evRQtWpS9e/fqj9m9ezdNmzbVv3/8+DH79u1j6dKlAMyZM4dvvvmGBQsWULt2bRYvXkyHDh04e/YsFStWTFc83t7ehIeHc/ToUby8vNi3bx+vvPIKb775JqNHj+bp06fkz5+fXbt2Ubp0aSpUqJDseUJCQnj99ddp3bo1Y8aMwcHBgadPn+Lt7U3jxo3Zu3cvVlZWTJs2jdatW/PPP/9gY2PD999/z+TJk5k7dy61a9fm5MmTDB48GHt7e/r160dERARvvPEGzZs356effiIoKIiRI0cmG0Nq38fnz5/j6enJ+PHjKViwIJs2baJPnz6UK1eO+vXrAzBhwgS+//57Zs2aRaNGjQgJCeHff/9Ncp2oqCh69+7N5cuX2b9/P8Vl0Eueo2lw9CisXAm//qp6i9zc1O/c+IKb27dD5cqGP/tECp4+VTUjgoJePCd8PH788nM4OIC7+4uHm5sa1e/qCqVLq5YlW1sz30gOoYkMCw0N1QAtNDQ0yb5nz55pgYGB2rNnz5LsUz820vf49dcXn//1V7WtaVPD8zo5Jf/Z9OrXr5/WsWNH/fu///5bK1q0qNa9e3ctPDxcs7a21lasWKHfHxUVpbm4uGgzZszQNE3Tdu3apQHaypUr9cc8ePBAy5cvn7Zq1aoUr+vu7q7NmjUrze8T69KlizZ8+HBN0zRt1KhR2vvvv685OTlpZ8+e1aKjozUHBwftr7/+0h+/YsUKrU6dOvr3Li4u2meffWZwznr16mnDhg1L8ZqJv1YJlSpVSvv88881TdO0sWPH6s9TuXJlbevWrZqmaZq3t7fWp0+fFM+vaZrm4eGhTZ48Wf/+hx9+0CpVqqTFxcXpt0VGRmr58uXTtmzZommaprm6umo///yzwXmmTp2qeXl5aZqmaQsWLNAcHR21iIgI/f758+drgHby5ElN0zL+fWzbtq32/vvva5qmaWFhYZqtra32/fffJ3tsUFCQBmj79u3TXn/9da1hw4ba48ePUzx3av+vRM4UF6dpAQGa9sEHmla2rOHPrgIFNO3ttzUtmR+xQtPUF+/uXU07eFDTli/XtE8+0bQ+fTTNy0vTnJ3T9sulWDFNe/VVTevWTdPGjNG0//1P0/74Q31THj5U18iFUvv9nVHSQiWStXHjRhwcHIiJiSE6OpqOHTvy7bffcvnyZaKjo2nYsKH+WGtra1599VXOnTtncI6E3WuOjo5UqlQpyTGm1KxZMxYuXAjAnj17mDp1KkFBQezZs4fQ0FCePXtmEHfC7r6wsDBu3bplsB+gYcOGnDp1KsPx7N69mwkTJrB7927Gjh0LQNOmTdm9ezdNmjTh8OHDSbriXub48eNcunSJAonWwnj+/DmXL1/m3r17XL9+nYEDBzJ48GD9/piYGAoVKgTAuXPn8PDwIH/+/Pr9ibtDk9ue+PsYGxvLF198wapVq7h58yaRkZFERkbqJy+cO3eOyMhIg0H4yYnvNtyxY4dBTCL3OncOVq1SrVEJu+/y51ctUj17qp6mPD+ZU9PUiPsLF1Q32+XL6hH/+smT1D9fsCCULfviUaaM4etsOLg7p5KECujcuTO7d++mRYsW/P7772a/Xnh4+j+TsEW1c2d1DotEI+ASDaExire3N/Pnz8fa2hoXFxd9N11ISAigxvYkpGlakm3JScsxGdWsWTNGjhzJpUuXOHPmDI0bN+by5cvs2bOHx48f4+npqU9CoqOj2bx5MxMmTEg1vrTeV3K8vb0ZOXIkDx484OTJkzRp0gRQCdW3336Lj49PquOnUhIXF4enpycrVqxIsq9YsWI8/29cw/fff6/vdotn+d8YBc3IainxX5NvvvmGWbNmMXv2bGrUqIG9vT2jRo0iKioKUF3FadG2bVt++uknDh8+TPPmzY2KTWRf0dHw9dcqifrnnxfbbW3VgPKePaFduzw6FurhQ5U0JXxcvKgeLxsnUro0lC8PFSqo5/LloVw59ShSJEnJAGEeklABI0aMYMCAAfpSAeZm7A8LK6sX46lMeV7Dc9knO66nQoUK2NjYsH//fnr37g2o5OTYsWNJyhkcPnwYt//mNj969IgLFy5QuXJl0wWZSPw4qmnTpuHh4UHBggVp2rQp06dP59GjRwbjp3bt2kXhwoX1tY8KFiyIi4sL+/fv1yc+AAcPHuTV+EW/0snb25uIiAhmzpxJxYoVcXZ2BlRC1a9fPzZt2kTZsmXTPXuvTp06rFq1iuLFiyc7O7FQoUKUKlWKK1eu8NZbbyV7jqpVq7J8+XKePXumT3oOHz6c7LGpfR/37dtHx44defvttwGV7F28eJEqVaoAULFiRfLly8eOHTsYNGhQivc0dOhQqlevTocOHdi0aZPB90rkbJGRL/4gtLKCZctUi5SVlWqB6tFDjWU28UTb7Ck6WrUq/fvvi0d88vTgQcqfs7RULUoVK75ImOKTp7JlpRkvm5CECvWLL+HMK5Eye3t7hg4dytixY3F0dMTNzY0ZM2bw9OlTBg4caHDslClTKFq0KM7OzkycOBEnJyc6depktth0Oh1NmjThp59+YvTo0QDUrFmTqKgoduzYYTDoev369fruvnhjx45l8uTJlC9fnlq1arFkyRICAgKSbQlKKDQ0NEmxTUdHR8qVK4ebmxvffvutQWLj4uKCu7s73333ncEsxLR66623+Oqrr+jYsaN+VmJwcDBr1qxh7NixlC5dmk8++YQRI0ZQsGBB2rRpQ2RkJMeOHePRo0f4+fnRu3dvJk6cyMCBA5k0aRJXr17l66+/TvZ6qX0fK1SowOrVqzl48CBFihRh5syZ3L59W59Q2dnZMX78eMaNG4eNjQ0NGzbk3r17nD17Nsm/l//7v/8jNjaWN954g7/++otGjRql+2sjso+HD2HgQDVTLzhY/c7X6WDSJJVkde6sZtLnSmFhLxKmc+devL50Sc0qSknp0vDKKypxeuWVF4+yZdWIfJG9mWw0VhbZs2eP9sYbb2glS5bUAG3t2rVJjvH399fKlCmj2draanXq1NH27t2b5Jhdu3ZpXbt2Tde1MzooPbtLbaC1pql7+7//+z/NyclJs7W11Ro2bKgdOXJEvz9+MPOGDRu0atWqaTY2Nlq9evW0gICAVK9r7KB0TdO0b7/9VgO0jRs36rd17NhRs7S0NPg+ubq6atu2bTP4bGxsrPbpp59qpUqV0qytrTUPDw+DQezJ6devnwYkefTr189gf8KB3ZqmaQMHDtQAbfny5ameX9OSDkrXNE0LCQnR+vbtq/8elCtXThs8eLDBPa5YsUKrVauWZmNjoxUpUkRr0qSJtmbNGv3+Q4cOaR4eHpqNjY1Wq1YtbfXq1ckOSk/t+/jgwQOtY8eOmoODg1a8eHFt0qRJWt++fQ3+/cTGxmrTpk3T3N3dNWtra83NzU0/WD9+UHr8NTVN07755hutQIEC2oEDB5J8LXLy/6vcLjZW065cMXzv5qbGPW/alHVxmdXDh5q2f7+mLVigaSNGaNrrr2uai0vqg8Dt7TXN01PT3npL06ZOVbOMAgI0LTw8q+8mTzHHoPQcv/TMX3/9xYEDB6hTpw5du3Zl7dq1Bq0gq1atok+fPsybN4+GDRuyYMECFi1aRGBgoL4bA9SU+rlz56ZrDJUsPZO8zFiyxBgnTpygefPm3Lt3zywlHIT55OX/V9nV+fOqNNGKFWqoz82bLxpTNm9WjS7Vq2dtjEZ7/BjOnn3xCAxUz/+NKU1WyZKqvkOVKuo5/nWpUjKmKRuQpWeS0aZNG9q0aZPi/pkzZzJw4ED9+I3Zs2ezZcsW5s+fz/Tp09N1rfgZTPHCwsIyFrTIUjExMXz77beSTAmRQc+ewW+/wcKFqksvXoECKtfw8FDvW7fOmvgy7Plz1UV3+rTh49atlD/j6grVqqlH1arqUaUK/DejVuQdOT6hSk1UVBTHjx/ngw8+MNju4+PDwYMH032+6dOn8+mnn5oqPJFFXn311QwPNBciLzt9WiVRP/30oiakpaUaXN6njyp3kCOqXsTFqZWUz5wxTJwuXkx5gd7EiVO1aipxyhOj6UVa5OqE6v79+8TGxupnV8Vzdnbm9u3b+vetWrXixIkTREREULp0adauXUu9evWSnG/ChAn4+fnp34eFheHq6mq+G8ihmjVrZvS0fCFE9hARoepFLVwIf//9Yru7OwweDO+8o5Ziy7bCw1WydOoUBASo59OnUy5F4OgINWoYPqpVk8RJvFSuTqjivay20JYtW9J0HltbW2xtbfH398ff35/YlP6SEUKIXODLL9XybfG1I62sVImDd99VixQnroWXpTRNLdabMHE6dUrNrEvuDzxbW9XSlDh5KllSxjiJDMnVCZWTkxOWlpYGrVEAd+/eTdJqlR6+vr74+vrqB7UJIURuEBWlkqT4Ond2diqZKl9etUb176/Wwc1y8V12x4/DiRPq+eRJVashOSVLqoFdHh5Qq5Z6rlgx+YJ+IseJiYkhPDzcYBLUoUOHuHDhAvXq1aNq1aqAWlR+zJgxWFhYMH/+fJPHkav/NdnY2ODp6cm2bdvo3Lmzfvu2bdvo2LFjhs8rLVRCiNzm++/h009h+nQ1Hgqgb1/VaNOsWRa2RsXFqcKX8YnTiRPqkdykIEtLNa4pYeLk4QGy0HaOEhYWxuHDh4mJiaFt27b67V9//TV79+7F19eXVq1aAfDPP//g4eGRZCjPnDlzWLVqFbNnz9YnVNHR0axcuRI7OztJqJITHh7OpUuX9O+DgoIICAjQF5308/OjT58+1K1bFy8vLxYuXEhwcDBDhgzJ8DWlhUoIkdvcv69KHvz004uEqkgRyNSVgDQNrl+Hw4fVgK0jR1T3XXLrddnaqmSpTh3w9ITatVV9hoTrdIksoWkaoaGh2NjY6NfmDAkJYcWKFVhZWRmsqjFo0CA2bNjArFmz9KtvXLlyhVatWlGiRAn9cmcAx44dY8OGDbRo0UKfUMWXPAgNDTWIoU6dOjx+/JhSpUrptxUrVoxZs2ZRoEAB84zzNVlFqywSX3ww8SO+sKKmqcKe7u7umo2NjVanTh1tz549Jrl2bi3sKUR2Jf+vTOPkSVVXct26F9sePtS0xYs17fnzTAwkPFzTdu/WtC+/1LTOnTWtZMnki2Hmy6dpXl6aNny4CvLUKU2LisrEQMW9e/e0f/75R7t//75+2+XLl7Vhw4Zpfn5+Bse2bt1aA7Qff/xRv+3kyZMaoJUsWdLg2J49e2qANnPmTP22GzduaDVr1tR8fHwMjt2yZYu2cOFC7cyZM/ptMTEx2v3797WodP57kMKe2UTCLr8LFy5IYU8hMon8v8o4TYOtW9XixNu3q22vvQaHDmViAJcuwcGDqgXq8GE12y7x0AkrK9Xy9Npr8OqrqvWpcmXVnSdM6vLly1y7do0qVapQsmRJAP79918mTpyIg4ODwfq2Pj4+bNu2jWXLltG3b18AAgICqF27dpLutt69e/PLL78wZ84cRowYAaixy35+fpQsWZKvvvpKf+zFixd5/vw5bm5umdrjY47Cnjm+hSorSQuVMLUFCxZopUuX1nQ63UuX2THG5MmTNQ8PD/37ly03ZI5rZoT8v0q/2FhN+/lnTatR40WDj6WlpvXqpWnHjpn54leuaNoPP2ja229rWqlSybc+lS6taV27atpXX2navn2aFhFh5qByt3///VfbvHmzduPGDf22M2fOaD4+Ptqbb75pcKyPj48GaMuWLdNvCwgI0ACtePHiBsf26dNHc3Jy0hYvXqzf9uDBA23SpEna3LlzDY59/Phxtv8/ao4Wquw06VVkE/3790en06HT6bC2tqZcuXKMGTOGiJTqtphImTJlmD17dprfZ5XVq1fTrFkzChUqhIODAzVr1mTKlCk8/G+G0dKlS/VfP51Oh4ODA56enqxZsybV84aFhTF8+HDGjx/PzZs3effddzPjdkQutnWrauDp3Vs1Btnbw6hRqqHo55/VPpO6cUOtQ/POO1CmDJQrp1ZI/uknNUDLxgYaNoQxY+D339V4qevX1esxY6BRoxxSGTRzBQcHs2/fPoNWoMDAQNq2bUv37t0Njh0xYgStW7dme3wzJBAbG8vWrVvZs2ePwbEVKlSgcuXKBqtGlClTBn9//ySDtpctW8a9e/d455139NscHR2ZOnUqvr6+BscWKlQoT7Yg5/hB6VkhL8zya926NUuWLCE6Opp9+/YxaNAgIiIizDIzwlz69+9PmTJl+OSTT0x2zokTJ/Lll18yevRoPv/8c1xcXLh48SLfffcdy5cvZ+TIkYAaKHn+/HkAnjx5wpIlS+jevTtnz56lUqVKyZ47ODiY6Oho2rVrp29+FyIjjh+HDz540bVXsKDKV4YPVwPNTSY0VC3Yt2MH7NqlMrWErKxUt523t3o0aAD58pkwgJzr6dOn3Lp1i6JFi1Lkv2/KxYsXmTJlCjY2Nvzwww/6YwcPHszWrVtZsmQJ/fv3ByAuLo6//vqLokWLGpy3cuXK3L59m3wJvs5ly5Zl2bJllChRwuBYf3//JHEVKlSIYcOGJdmeuJ6jSEpaqDLA19eXwMBAjh49mtWhmI2trS0lSpTA1dWV3r1789Zbb7Fu3TpArWk4YsQIihcvjp2dHY0aNTL4WuzevRudTsemTZvw8PDAzs6O+vXrc/r06Sy6m5c7f/48Op2Of//912D7zJkzKVOmDJqmceTIET7//HO++eYbvvrqKxo0aECZMmVo2bIlq1evpl+/fvrP6XQ6SpQoQYkSJahYsSLTpk3DwsKCf/75J9nrL126lBo1agBQrlw5dDodV69eBWDDhg14enpiZ2dHuXLl+PTTT4mJidF/NjQ0lHfffZfixYtTsGBBmjdvzqlTpwzO/8UXX+Ds7EyBAgUYOHAgz58/TzaOTz/9VH+e9957j6ioKP2+zZs306hRIwoXLkzRokV54403uHz5ssHnb9y4Qc+ePXF0dMTe3p66devyd8Ly2gkEBQVRoUIFhg4dSlxcXLLHiPS5fBl69YK6dVUyZWMDo0er7R99ZKJk6tYtmD9frTdTrBj07KlqLly6pGor1KsH48apROvRI7XY37Rp0KJFnkimYmJiDP7f3Lhxg4kTJzJx4kSD47p06ULFihX5448/9NsiIyP56aef9D9r45UvX57y5ctjmWAcWZkyZfjhhx9Yvny5wbFz5szh1KlTBi1XBQoUoG/fvvj4+JjiFkUKJKHKAhEREURERBhM24yKiiIiIsJg8eWExyb8hRMdHU1ERESSX4opHWsK+fLl059r3LhxrF69mmXLlnHixAkqVKhAq1at9F1e8caOHcvXX3/N0aNHKV68OB06dDBZPKZWqVIlPD09WbFihcH2n3/+md69e6PT6VixYgUODg7J/vUGGBSVSyg2NlY/uLNOnTrJHtOjRw99E/2RI0cICQnB1dWVLVu28PbbbzNixAgCAwNZsGABS5cu5bPPPgPU9OR27dpx+/Zt/vzzT44fP06dOnVo0aKF/vvx66+/MnnyZD777DOOHTtGyZIlmTdvXpIYduzYwblz59i1axe//PILa9euNVi7MiIiAj8/P44ePcqOHTuwsLCgc+fO+n9v4eHhNG3alFu3brF+/XpOnTrFuHHjkk2Wzpw5Q8OGDenWrRvz58/HIluV3M65PvsMVq5Uhb779IHz52HmTHByMvLEFy6osumvvQalSsGwYao/MTpa1X3y84MNG1RhzSNH1LGtWoGDg0nuK7t5+PAhP/30k0ErEqjB2La2tgY/R0JDQ/n888/57rvvDI51cXEhf/78PH36VL/N3d2dr776im+//dbg98O8efO4dOkSfeLrWQAODg4MGDCANm3amPr2REaZbDRWHpTRQen8V9rh7t27+m3Tpk3TAG3QoEEGx+bPn18DtKCgIP22WbNmaYDWu3dvg2OdnJw0wGBK6cKFC9N9X4kHKP/9999a0aJFte7du2vh4eGatbW1tmLFCv3+qKgozcXFRZsxY4amaS9KWaxcuVJ/zIMHD7R8+fJpq1atSvG67u7uBgOxX/Y+LfcxefLkNB8/c+ZMrVy5cvr358+f1wDt7NmzmqZpWps2bbSaNWu+9DxLlizRAM3e3l6zt7fXLCwsNFtbW23JkiWpfi5+WnHC73Xjxo21zz//3OC45cuX66ce79ixQytYsKD2PNFc9/Lly2sLFizQNE3TvLy8tCFDhhjsr1+/fpJB6Y6OjlpEggHB8+fP1xwcHLTY2Nhk4717964GaKdPn9Y0TQ2oL1CggPbgwYNkj48flH7w4EHN0dFR++qrr1L5aiRPBqUbevJE00JCXry/dk3T2rfXtIAAI08cF6dpR45o2ocfalqVKkkHkr/2mqZ98YWm/fuvkRfKPiIjI7WzZ89q+/fvN9g+adIkrXr16trPP/+s33b27FkN0IoUKWJw7IABAzRAmzp1qn5baGio5uvrq33++edaXFycwfUSvheZyxyD0mUMVQbkhTFUGzduxMHBgZiYGKKjo+nYsSPffvstly9fJjo6moYNG+qPtba25tVXX+XcuXMG5/Dy8tK/dnR0pFKlSkmOMaUVK1bw3nvv6d9HRkai0+n4+uuv9dsWLFjAW2+9lezne/bsydixYzl8+DCvvfYaK1asoFatWvoqu1qiNSBTU6BAAU6cOAGosRLbt2/nvffeo2jRorRv3z7N93T8+HGOHj2qb5EC1eL1/Plznj59yvHjxwkPD08yjuLZs2f67rhz584lKWTr5eXFrl27DLZ5eHjoi/DFHxMeHs7169dxd3fn8uXLfPTRRxw+fJj79+/rW56Cg4OpXr26fgq1o6NjivcTHBzM66+/zrRp0xg9enSavw4iqb/+UkvBNG6sxnQDuLnB+vVGnPTyZdV9t2KFGmAez8pKVfjs3Bk6dMjmqyEnFRkZiW2Cgp/Lly9n165d9OzZU98NdunSJapVq0bhwoV59OiR/tiQkBDOnDljUEC6dOnSNG/enFKlShEbG6vvips2bRrTpk2jeILK7AULFmTu3LlJYrKxsTH5fYqsJQlVBhhbKT38v6q/CX95jR07llGjRmGVaG2pu3fvAhgMMPT19WXw4MEG/emAfsxNwmPjBzCml7e3N/Pnz8fa2hoXFxf9LJD4qrUvW3A6JeYc2NihQwfq16+vfz9+/HhKlSqlr4MCpLqGY8mSJfH29ubnn3/mtdde45dffjFI0F555RX2799PdHS0wayY5FhYWFChQgX9+5o1a7J161a+/PLLdCVUcXFxfPrpp3Tp0iXJPjs7O+Li4ihZsiS7d+9Osj+lLsj0iv+etW/fHldXV77//ntcXFyIi4ujevXq+vEi+dIwPqZYsWK4uLiwcuVKBg4caLr6L3mQq6uqbv7PP2oVlgx/KaOj4Y8/YOFC2LbtxXZ7e2jTRiVRbduCif49mUtgYCBnzpyhatWqVK9eHVAVt1999VXi4uIMhiTs2bOHJUuWULZsWX1CVbp0aQoXLkzp0qUNEjBfX1+6deumPyeoJGnHjh1JYpDJJHmbDFzIAvb29tjb2xskFzY2Ntjb2xv8FZXw2IRjTKytrbG3t08yLTWlYzMaY4UKFXB3dzc4R4UKFbCxsWH//v36bdHR0Rw7dowqVaoYnOPw4cP6148ePeLChQtUrlw5Q/GkRYECBahQoYL+UaBAARwdHZNsS81bb73FqlWrOHToEJcvX6Znz576fb179yY8PDzZ8UcAjx8/TvXclpaWPHv2LF33VKdOHc6fP29wD/EPCwsL6tSpw+3bt7Gyskqy3+m/gTNVqlQx+F4ASd4DnDp1yiC+w4cP4+DgQOnSpXnw4AHnzp1j0qRJtGjRgipVqhj8FQ8qaQwICEgyli6hfPnysXHjRuzs7GjVqhVPnjxJ19cjL4uOhoSz3qtXV8OYzp7NYDIVFAQffqgys27dVDKl06mxT6tXq2ztt99UzYUsTqa0BOOJHjx4wOjRo5O0NH/zzTf06NGDtWvX6rcVK1aMBw8e8OjRI4N/a507d2batGm0aNFCv61gwYI8evSI06dPG/wcrl27Nq1atTJYwkSI5EhCJdLF3t6eoUOHMnbsWDZv3kxgYCCDBw/m6dOnDBw40ODYKVOmsGPHDs6cOUP//v1xcnKiU6dOWRN4GnXp0oWwsDCGDh2Kt7e3wQ/R+vXrM27cON5//33GjRvHoUOHuHbtGjt27KBbt24GVYU1TeP27dvcvn2boKAgFi5cyJYtW9K9KPfHH3/Mjz/+yCeffMLZs2c5d+4cq1atYtKkSQC8/vrreHl50alTJ7Zs2cLVq1c5ePAgkyZN4tixYwCMHDmSxYsXs3jxYi5cuMDkyZM5e/ZskmtFRUUxcOBAAgMD+euvv5g8eTLDhw/HwsKCIkWKULRoURYuXMilS5fYuXMnfn5+Bp/v1asXJUqUoFOnThw4cIArV66wevVqDiUqxW1vb8+mTZuwsrKiTZs2+hZbkbKTJ1X1gddfh4QTOFu0gHT9zRQdDWvWqKSpfHm1EvKdO+DsrJKry5fV7LwuXSCT6whpmsatW7cMtsWXJpk+fbp+m7W1NbNnz+bnn38mLMECyXXq1KFRo0YGpQEKFCjAP//8w6NHj3BIMEC+Xbt2TJw4kQYNGpjxjkReI11+GZAXxlCl5osvviAuLo4+ffrw5MkT6taty5YtW/S1VBIeN3LkSC5evIiHhwfr16/P9uMGChYsSPv27fntt99YvHhxkv1ffvklnp6e+Pv789133xEXF0f58uV58803DcomhIWF6Zv/bW1tcXd3Z8qUKYwfPz5d8bRq1YqNGzcyZcoUZsyYgbW1NZUrV2bQoEGA6o77888/mThxIgMGDODevXuUKFGCJk2a6Ls3e/ToweXLlxk/fjzPnz+na9euDB06lC1bthhcq0WLFlSsWJEmTZoQGRlJz5499TW8LCwsWLlyJSNGjKB69epUqlSJ//3vfzRr1kz/eRsbG7Zu3cr7779P27ZtiYmJoWrVqsnWunFwcOCvv/6iVatWtG3blr/++gt7e/t0fW3ygufPYcoUmDFDrdDi6KjqY3p4pPNE16/DggXwww+QoDgkLVvCe++pcVEZbM1OL03TuHHjBnFxcbi7uwNqJpybmxthYWGEh4fr/y3ExcUREhJiMH6pYMGCTJo0CRcXF4NW/vihGInFlyMRwtxkLT8jpLYWUF5ec2z37t14e3vz6NEjk43jEQLy1v+rgwdVkfH40mjdusG336rGpDQLCYHPP1fjo+JrIxUvDgMGwKBBqpXKzO7cuUOxYsX0QxE+/fRTPvnkEwYNGsT333+vP6548eI8evSIEydO6JOga9eucffuXSpUqJDkDzYhjGGOtfykhUoIIbKR8HCYOFElT5oGJUrAvHlqbHia3bunmrXmzlXNXABNmqhS6R07qoqfZqZpGjVr1uTMmTMEBgbqx1hWqlQJKyurJEtZHTlyBBcXF4NWbHd3d30rlhDZnSRUQgiRTWzfDoMHw38TdunfXxXmTHPjzOPH8M03MHu2yswAvLxUpfLmzU0eb7yjR48yYcIEChUqxOrVqwHVHV20aFF0Oh1nzpzRJ1SdO3cmIiIiSfd/mTJlzBafEJlBEiphcs2aNUN6koVIu5gYNSb8q6/Uezc31UvXqlUaT/DkCfzvf/D11yqpAqhTRyVSrVur2Xsm8ujRI/7880/q1KmjT5Ksra3ZsWMHBQoUMKjLtGjRIooVK2ZQXibxTGYhcguZ5SeEEFno/n2V88QnU0OHwpkzaUymnj5VLVLlysGkSSqZqlZNzeQ7dkzVkTJx7TdfX1/efvttg1mt1atXZ8GCBRw4cMBgoHiFChUyVKtPiJxIEqoM8Pf3p2rVqtSrVy+rQxFC5HCBgbB7t6qj+euvarzUS8qlqSl/8+dDhQowZozKyipWhJ9/VnUVOnc2OpGKi4vj888/57XXXuP+/fv67R07dqRatWqULl1av83Kyop3332XGjVqyLqMIs+SWX5GSMssvzJlyqSpgrQQ4uWePXvG1atXc90sv6VLoV491bj0UoGBapbe33+r9+7uMHmyWg3ZyrhRHAm76wBq1arFqVOnWLJkiX7VhfQswSREdmWOWX7yp4SZxFcXT7iSuBDCOPH/nzK6AkB2EBUFo0e/KIcAavD5S5Op6GhVAqF2bZVMFSigxk1duADvvGNUMnX37l0GDhyIh4eHQX298ePHs2DBAtq2bavfJsmUEMmTFiojvCzDDQkJ4fHjxxQvXpz8+fPLDyIhMkjTNJ4+fcrdu3cpXLhwjl4zbfRoNQmvalXVO5emPCggQCVNAQHqfdu2qlBngm43Y0RERFC6dGkeP37Mjh07aG7GGYFCZAdShyqHiV8CIX6BYyGEcQoXLmywtEhO9MEHqjzCl1+mIZmKjISpU9XBMTGqVPqcOfDWWxkeI/X48WMWLFjAxYsXWbRoEaCWA/L396dMmTJ4eXll6LxC5HXSQmWEtGa4sbGxREdHZ2JkQuQ+1tbWBuN7cgpNg337VF3NeHFx8NKx23//rcZKBQaq92++qQp1pqtUelJXrlyhQoUKaJrGv//+S6VKlYw6nxA5kbRQ5VCWlpY58heBEMI4T5+qpfJ++gmWL4e331bbU02mnj6Fjz+GWbNU5uXsDP7+0LVrhmKIX1T7zTffBKBcuXKMHTuWqlWrShVyIUxIEiohhDCDR49UGai//wZLyxf1NlO1Z49aYy9+MeC+fVVi5eiYoRiOHDmCl5cX9vb2NGrUSN9d+uWXX2bofEKIlElClQH+/v74+/sbzIYRQoh4d++Cj48adF6kiKqz2axZKh+Ii1OlD6ZNU+9Ll1aDzhPMrsuIunXr4unpiZubm/y8EsLMZAyVEczRByuEyNlu3IDXX4fz51Vv3bZtUKNGKh8IC1M1pNavV+8HD1ZLyKTzZ4qmaWzatIlly5axcuVK/TCDiIgI7O3tM3g3QuROUodKCCGyscuXoXFjlUy5uqrB6KkmU5cvq8WL168HW1tYtkwt4peBH/BhYWH06dOH33//nR9//FG/XZIpITKHdPkJIYQJBAaqlqmQELUizI4dapHjFG3fDt27q8FWLi6wdi28+mq6rvn06VPy588PQKFChfjss88IDg6mawYHsAshMk5aqIQQwkgnTkDTpiqZql4d9u5NJZnSNFXZs1UrlUy99ppayDgdyVRcXBxz5szB1dWVgPhin8CwYcP44osvZAiCEFlAEiohhDDCwYPg7a3WJ65bVy10nGIh9+fPVW2p0aPVQPT+/WHXrlQ+kDydTsf27dt5+PAh3333nbG3IIQwAenyE0KIDAoJUbP5IiLU2KmNG1MZ/hQSAp07qzoKFhbwzTcwcmS6Kp7HL0ys0+lYsmQJ69evp1+/fqa5GSGEUWSWnxFklp8QYuZM2LJFDYH6bzhTUkeOqGTq1i1VR+HXX9WAqzSKiopi0qRJ5M+fn08++cQkcQuRl8ksPzPYuHEjlSpVomLFivp1rYQQIjUxMS9e+/nBn3+mkkwtX67Wnbl1S62IfORIupIpgO3bt/PVV18xdepULl68mPHAhRBmk6cTqpiYGPz8/Ni5cycnTpzgyy+/5OHDh1kdlhAiG1u8WFU6SFj5PNmVpTQNPvpIVTuPjIQOHeDQITUFMJ3atm2Ln58fv//+OxUrVsxw7EII88nTCdWRI0eoVq0apUqVokCBArRt25YtW7ZkdVhCiGzq0SMYN05Nylu8OJUDNQ0++OBF5fNJk1SfYBq7Fp4+fconn3zC06dP9du++eYbOnfubET0QghzytEJ1d69e2nfvj0uLi7odDrWrVuX5Jh58+ZRtmxZ7Ozs8PT0ZN++ffp9t27dolSpUvr3pUuX5ubNm5kRuhAiBypSRJVE+PhjNVEvWZqmsq4ZM9T7uXNh6tSXrIhsqEOHDnz66af4+fkZH7QQIlPk6IQqIiICDw8P5s6dm+z+VatWMWrUKCZOnMjJkydp3Lgxbdq0ITg4GFAzZhLTpWPGjRAib4iLe/G6alX49NMUJudpGowZo5aOAfD3B1/fdF/vgw8+oFSpUnTv3j1jAQshMl2OTqjatGnDtGnT6NKlS7L7Z86cycCBAxk0aBBVqlRh9uzZuLq6Mn/+fABKlSpl0CJ148YNSqZSDyYyMpKwsDCDhxAid7t5E2rVUuWiUqVpaoT6zJnq/fz5MGxYmq4RGxtLSEiI/v3rr7/OxYsXad68ecaCFkJkuhydUKUmKiqK48eP4+PjY7Ddx8eHgwcPAvDqq69y5swZbt68yZMnT/jzzz9p1apViuecPn06hQoV0j9cXV3Neg9CiKwVGgpt2sDp0zBqFMTGpnCgpqkDZs9W7xcsgCFD0nSN58+f06NHDxo2bGiQVOXLl8+Y0IUQmSzXJlT3798nNjYWZ2dng+3Ozs7cvn0bACsrK7755hu8vb2pXbs2Y8eOpWjRoimec8KECYSGhuof169fN+s9CCGyTmSkKh11+jSUKAF//JHKbL4RI+B//1Pvv/8e3n03zdd58uQJAQEB3Lx5k1OnTpkmeCFEpsv1ldITj4mKrzQcr0OHDnTo0CFN57K1tcXW1hZ/f3/8/f2JTfHPVSFEThYXB++8o7r5HBxUnakyZVI4cPhw1b2n08GiRWppmXQoVqwYW7du5dq1a3h7e5skfiFE5su1LVROTk5YWlrqW6Pi3b17N0mrVXr5+voSGBjI0aNHjTqPECJ7Gj8efvkFrKxgzRqoXTuZg+Li1IDz+GRq8eI0J1NBQUEGM47LlSsnyZQQOVyuTahsbGzw9PRk27ZtBtu3bdtGgwYNsigqIUR2N2fOi0l6ixdDy5bJHBQXB0OHwnffqWRq6VK10HEaXLp0iQYNGtC2bVtOnDhhqrCFEFksR3f5hYeHc+nSJf37oKAgAgICcHR0xM3NDT8/P/r06UPdunXx8vJi4cKFBAcHMySNg0VTIl1+QuROv//+or7U559Dnz7JHBQXB++9p7r3LCxg2TJ4++00X6N06dJUqVKF+/fvU6JECdMELoTIcjl6ceTdu3cn20zer18/li5dCqjCnjNmzCAkJITq1asza9YsmjRpYpLry+LIQuQee/eCj48ajD5smKrHmaTWlKapAefxydSPP8Jbb6X7WmFhYcTGxlKkSBHTBC+ESBdz/P7O0QlVVknYQnXhwgVJqITI4c6ehUaN1Pp8nTqplqpkZ/RNm6bW57OwgJ9+gl690nT+xYsXEx0dzXvvvWfKsIUQGSQJVTYjLVRC5Hy3b8Orr8L169CgAWzfDsmWgPr1V+jRQ73+7jvV7ZcG+/bto0mTJuh0Og4fPsyrr75quuCFEBlijt/fOXoMlRBCGKtgQTXw/MABWL8+hWTq77+hXz/1evToNCdTAI0aNeK9996jcOHC1KtXzzRBCyGyHWmhygDp8hMi9wkNhUKFktlx7Zpqwrp7F9q3h7VrU+gPTFni+ndCiKwlXX7ZjHT5CZFzXbwI5cur4VApCguDhg3hzBnw8ID9+1Wlz5f4+eefCQgI4IsvvsAi1QsIIbKCdPkJIYQJXL8OXl5Qty6sXAmFCydzUEyMGnR+5oxae2bDhjQlU8HBwfTv35/o6Gg8PDx4KwOzAIUQOY8kVEKIPOfUKXj6FO7fT2HMFMD776s1Z/LlU4Or0rgYupubG4sWLWL79u30SuMsQCFEziddfhkgY6iEyPlOn1YNTmXLJrNz3jy1rAzAb7/Bm29mamxCCPMyR5efdO5ngKzlJ0TOFBf34nWNGikkU1u2wIgR6vXnn6cpmQoJCWHo0KE8ffrUNIEKIXIcSaiEEHnCpUtqXPmhQ6kcdPYsdO8OsbGqTMIHH7z0vJqm0aVLF7777jsp3ClEHiYJlRAi13v2TDU0nTkDkyapFWSSuHsX3nhDzexr3BgWLEhm7ZmkdDodX3/9NVWrVmXKlCmmD14IkSPIoHQhRK43YoQaiF6smFp+L0me9Py5WnPm6lVVS2HNGrC1TfP5GzZsyD///INlOutTCSFyD2mhygB/f3+qVq0qVY+FyAF+/FGtZazTwc8/Q6lSiQ7QNBg4UPUFFi4MmzaBk1Oq59Q0jc8//5ybN2/qt0kyJUTeJrP8jCCFPYXI3s6cUUXOnz2DTz+Fjz9O5qA5c2DUKLCygs2boUWLl57366+/ZuzYsZQpU4bAwEDypVh7QQiRHcksPyGESKMnT9S4qWfPwMdHjZ1KIiAAxo1Tr2fOTFMyBfDmm29SqVIlxo8fL8mUEAKQMVRCiFxI0+Ddd+H8edXF99NPySwxExEBPXtCVBR06ADDh6f5/GXKlOHkyZOSTAkh9KSFSgiR6yxapJaUsbKCX39Vg9GTGDVKZVwuLvDDDy+d0Xf79m0CAwP17yWZEkIkJAlVBsigdCGyr2vXwM9PvZ4+HRo0SOag3357MVL9p59eOgg9JiaGXr16Ua9ePTZs2GD6oIUQOZ4kVBkgldKFyJ40DQYPhvBwaNToRWJl4No1dRDAhAng7f3S80ZERGBlZYWFhQWvvPKKaYMWQuQKMoZKCJFrrF0L27aBnR0sXpzMuKmYGOjdG0JDoX59+OSTNJ23UKFCbN68mbNnz1KpUiWTxy2EyPkkoRJC5BodO6rJetbWULFiMgdMmQIHD0LBgvDLL+rAVMTExGBlpX5MWlpaUrNmTTNELYTIDaTLTwiRa1hawujRKUzY27MHPvtMvf7uuxRWRn7h+fPnNGrUiBkzZhCXcFVlIYRIRoZaqNavX5/uz7Rs2VJmxQghzOLIEaheHfLnT+GAhw/h7bchLg7694devV56zlWrVvH3339z6dIl+vXrh7Ozs0ljFkLkLhlKqDp16pSu43U6HRcvXqRcuXIZuZwQQqTo5k1VuLN4cTV+yt090QGaBoMGwY0bqh/w22/TdN6+ffsSFRWFm5ubJFNCiJfK8Biq27dvU7x48TQdW6BAgYxeRgghUnXjBjg4qGX4kqzTB7BggRqtbm2tilM5OKTpvDqdjsHxswGFEOIlMjSGql+/funqvnv77bdz1Vp3UodKiOyjfn21Zt+qVaqQp4GzZ9WgKoAvvoA6dVI915MnT5g6dSqRkZHmCVYIkWvJ4shGkMWRhcjGnj1TKyOfOQOtW8OmTcnUUTDUq1cvVq5cSZcuXVi9enUmBSqEyGyyOLIQQqCGRb3zDixZol4na+xYlUw5O8PSpS9NpkC1phcvXpwxY8aYNF4hRO5nshaq48eP4+npaYpT5RjSQiVE1li5Uk3Us7KCc+egQoVEB2zYoBY8Bti8GVq1SvO5nz59Sv4UpwsKIXKDbN1C1blzZ1OdSgghUnT37os6Ux99lEwyFRYGQ4eq135+L02mQkNDefr0qf69JFNCiIxI1yy/7t27J7td0zQePnxokoCEECI1w4fDgwfg4aGW4kti4kRVS6FCBZg2LQ3nG87hw4dZvnw5r732mukDFkLkCelKqLZv387y5ctxSDTtWNM09u7da9LAhBAisd9/h99+U119S5Yks3LM4cPg769ef/cdvGQ28oMHD9i1axchISHodDrzBC2EyBPSlVA1a9YMBwcHmjZtmmRf7dq1TRaUEEIkdv8+DBumXn/wAST5kRMdDe++q0ap9+0LLVq89JxFixbl7NmzbN++nfr165s+aCFEnpHnyyZ07tyZ3bt306JFC37//fd0fVYGpQuRed5+G1asgGrV4PhxsLVNdMAXX6g+wKJF4d9/wckpS+IUQmR/2W5Q+u3bt00SRFYaMWIEP/74Y1aHIYRIxb59KpnS6VRXX5Jk6vJl+PRT9XrmzJcmUzt37mTHjh3mCVYIkScZlVD5+PiYKo4s4+3tLUvjCJGNxcbCiBHq9eDBkGSBAk1Ts/qeP1fdfH36pHq+0NBQ+vbty+uvv85vv/1mnqCFEHmOUQmVuXsL9+7dS/v27XFxcUGn07Fu3bokx8ybN4+yZctiZ2eHp6cn+/btM2tMQojM9cMPEBAAhQqlMGlvxQq1KrKdnRqI/pLB5ZaWlnTs2JGKFSvSrl07s8QshMh7Mrw4MmD2WTERERF4eHjwzjvv0LVr1yT7V61axahRo5g3bx4NGzZkwYIFtGnThsDAQNzc3ADw9PRMdl2urVu34uLiYtb4hRDGefRIVUEA1aNXrFiiAx48eLFWX7JFqZJycHDA39+f8PBwqTklhDAZoxIqc2vTpg1t2rRJcf/MmTMZOHAggwYNAmD27Nls2bKF+fPnM336dEBVcDeVyMhIg+QsLCzMZOcWQiR1/jxYWkLVqi9m+BkYM0ZN/6tWTb1ORVxcHBYJlp9JXP5FCCGMkWPX8ouKiuL48eNJxnH5+Phw8OBBs1xz+vTpFCpUSP9wdXU1y3WEEMprr8GFC6r+VJKaUzt3qjX6dDr4/nuwsUn1XL6+vrzzzjs8evTIbPEKIfIuoxIqm5f8ADOn+/fvExsbi7Ozs8F2Z2fndM0+bNWqFd26dePPP/+kdOnSHD16NMVjJ0yYQGhoqP5x/fr1DMcvhEibggWhSpVEG58/hyFD1OshQ8DLK9VzXL58mYULF7J06VJOnTplnkCFEHmaUV1+x44dM1UcGZZ4HJemaeka27Vly5Y0H2tra4utrS3+/v74+/sTGxub5s8KIdJuyxZ4+BB69kxhjPlnn8HFi1CyJPzXvZ+a8uXLs3fvXvbs2UOzZs1MHq8QQmTrMVSpcXJywtLSMklr1N27d5O0Wpmar68vvr6++sJgQgjTef5cVUEICoLHj1+sc6x39qwq4gnw7bdq+l8aNGzYkIYNG5o0ViGEiGd0QuXn55fsdp1Oh52dHRUqVKBjx444OjoaeykDNjY2eHp6sm3bNjp37qzfvm3bNjp27GjSawkhMo9OBwMHwo8/JlNSKi5OLS8TEwPt20OXLqme6/Tp05QsWRInqZouhDAzo5ee8fb25sSJE8TGxlKpUiU0TePixYtYWlpSuXJlzp8/j06nY//+/VStWjVd5w4PD+fSpUuAWitw5syZeHt74+joiJubG6tWraJPnz589913eHl5sXDhQr7//nvOnj2Lu7u7MbeVqoRdfhcuXJClZ4Qwg5gYtQiygQUL1JgpBwcIDIRUJoY8ffqUmjVr8uTJEzZu3Ei9JBVBhRB5lTmWnjE6oZo9ezb79u1jyZIl+qDCwsIYOHAgjRo1YvDgwfTu3Ztnz56la7wSwO7du/H29k6yvV+/fixduhRQhT1nzJhBSEgI1atXZ9asWTRp0sSYW0ozWctPCNPStFTqcoaEqNHpoaEwezaMHJnqua5cuUKHDh0IDQ3lzJkz0j0vhNDLlglVqVKl2LZtW5LWp7Nnz+Lj48PNmzc5ceIEPj4+3L9/36hgswtpoRLC9A4eVLWm5syBpk2TOaBnT1i1CurWhcOHVYGql4iMjCQoKIjKlSubPmAhRI6V7RZHBrUu1t27d5Nsv3fvnr7wZeHChYmKijL2UtmGr68vgYGBqZZYEEKkXVycWq/v1ClYvjyZAw4eVMmUTgcLF6YpmQI1M1eSKSFEZjA6oerYsSMDBgxg7dq13Lhxg5s3b7J27VoGDhxIp06dADhy5AivvPKKsZcSQuRSS5bA8eOq5tTnnyfaqWnw/vvq9YABULt2qudauXIlK1euNPtao0IIkZDRs/wWLFjA6NGj6dmzJzExMeqkVlb069ePmTNnAlC5cmUWLVpk7KWEELlQaCh8+KF6PXkyFC+e6IDfflNdfPnzw9SpqZ7r0aNHDB8+nAcPHgDQs2dPM0QshBBJGT2GKl54eDhXrlxB0zTKly+fq9fJkjFUQpjO++/DzJlQqRL880+iFWQiI9VA9KAg+OQTlXGl4tmzZ3z99dds2LCBAwcOYJ1kvRohhMimg9LjBQYGEhwcnGSsVIcOHUxx+mxJZvkJYZx//4UaNVSJhL/+gtatEx3wzTdq0eOSJVVldHv7NJ038ULIQgiRkDl+fxvd5XflyhU6d+7M6dOn0el0+nEL8cu/yPIsQoiUjB6tkqk33kgmmXrwAKZNU6+nTUtzMgVIMiWEyHRG/9QZOXIkZcuW5c6dO+TPn58zZ86wd+9e6taty+7du00QYvbj7+9P1apVpVCgEEbYsQM2bwZra9Xll8TUqWrtmZo1oV+/VM+1YcMG2rdvz8WLF80SqxBCvIzRXX5OTk7s3LmTmjVrUqhQIY4cOUKlSpXYuXMn77//PidPnjRVrNmOdPkJkTGaBl5e8Pff8H//B//7X6IDLl6EqlVV89XWrdCyZSrn0qhWrRrnzp3jgw8+YHoaFksWQuRt2bIOVWxsrH4AupOTE7du3QLA3d2d8+fPG3t6IUQutGmTSqby5Xsxw8/AhAkqmWrTJtVkCtTwgjVr1vD222/zYbInE0II8zN6DFX16tX5559/KFeuHPXr12fGjBnY2NiwcOFCypUrZ4oYhRC5SFwcTJqkXo8YASVKJDpg/35YvRosLGDGjDSds3LlyixPtiKoEEJkDqMTqkmTJhEREQHAtGnTeOONN2jcuDFFixZl1apVRgcohMhdAgLg7FlVxHPcuEQ7ExbxHDgQqldP9VyhoaGyRp8QIlswWdmEhB4+fEiRIkX0M/1yG6lDJYRxgoLg9GlIUlVl5Uro1UvN6Lt0KZnmqxeOHDlCixYt+PDDD/nggw9y7c8bIYTpZcsxVMlxdHTM1T/cZC0/IYxTtmwyydTz5/DBB+r1+PGpJlMAy5YtIzw8nH///TdX/7wRQuQMRnf5ATx//px//vmHu3fvEhcXZ7AvNxf2FEKkXVSUKuRZs2YKB8ydC9eugYvLi26/VMydO5cGDRrg7e1t2kCFECIDjE6oNm/eTN++fbl//36SfTqdTgp7CiEA+OEHGDYshTIJ9++/KOL52Wdq3b6X0Ol0vPXWW6YPVAghMsDoLr/hw4fTrVs3QkJCiIuLM3hIMiWEiHfhgnquVCmZnVOnqlWSa9WCPn1SPc/ff/+tX4hdCCGyC6MHpRcsWJCTJ09Svnx5U8WU7cmgdCEy5vRpeOUVsLVNsPHCBahWTdWd2r4dWrRI8fNXrlyhatWqVKxYkd27d1O0aFHzBy2EyHWy5aD0N998M9cuMZMSGZQuRMbUqJEomQI1ED0mBtq1SzWZArhw4QL29vaUKFECR0dH8wUqhBDpZHQL1dOnT+nWrRvFihWjRo0aWFtbG+wfMWKEUQFmZ7L0jBAvt369aoBKthF73z5o0kQV8Tx9Wi038xIPHjwgPDwcd3d30wcrhMgTzPH72+iEatGiRQwZMoR8+fJRtGhRg+nLOp2OK1euGB1kdiUJlRCpe/RIlUiIiICDB8FgPXFNg/r14ehReO89+O67LItTCJG3mOP3t0kqpU+ZMoUPPvgACwuzlLUSQuRQX3+txprXqAGenol2rl+vkikHB/j001TPs3fvXgoUKEDt2rXNF6wQQhjB6AwoKiqKHj16SDIlhDBw9y7MmaNeT52qevX0NO1FEjViBDg7p3iemJgY3n33XerUqcOvv/5qvoCFEMIIRmdB/fr1kzX7hBBJTJ+uuvrq1UumKvqGDXDypGqd8vNL9Tzh4eF4enpSrFgxWrdubb6AhRDCCEZ3+cXGxjJjxgy2bNlCzZo1kwxKnzlzprGXEELkMDduwPz56vW0aWCwMkzC1qnhw+ElpQ8KFy7MihUrZKyiECJbMzqhOn36tH5cw5kzZwz2yfpaQuRN06ZBZKSawNeyZaKdmzbBiRNqAeQ0LDETr1ChQqYNUgghTMjohGrXrl2miCNHSVjYUwhh6MoVtcwMvKR1ytcXnJxSPM/z58/55ptvGDZsGEWKFDFfwEIIYQJGl03Iy6RsghBJ9e0Ly5dDq1aweXOinX/+qQp45s8PV69CsWIpnmfOnDmMGjWK6tWr888//0iLtxDCZLJl2QQhhIh37hz89JN6Hb/WsZ6mwSefqNe+vqkmUwCVK1emRo0aDB8+XJIpIUS2JwmVEMJkvvhC5U2dOkHduol2bt6s6k7lzw9jxrz0XK1ataJly5bExcWZJVYhhDCldJdNePToEQ8fPgTg3r17rF69OslgdCFE3hMcDD//rF5/+GGinQnHTg0dCsWLp+mcFhYWWFnJ331CiOwvXQnVokWLqFu3Lp6ensyfP5/OnTuzY8cOevbsycKFC80VoxAiB3jwAGrVgubNEy0xA7B1K/z9N+TLB2PHpnqe77//nlWrVknLlBAiR0nXn37ffvstZ8+e5enTp7i5uREUFESxYsUICwujSZMmvPvuu+aKUwiRzdWuDUeOqKVmDCRunUqlKvrDhw8ZM2YMYWFh5M+fn/bt25svYCGEMKF0tVBZWlpiZ2eHo6MjFSpUoNh/g0oLFiyYIweNXr9+nWbNmlG1alVq1qzJb7/9ltUhCZGj6XRQuHCijdu2waFDYGf30tYpGxsbxowZQ+PGjWnXrp3Z4hRCCFNLV0JlZWXF8+fPAdizZ49++5MnT0wbVSaxsrJi9uzZBAYGsn37dkaPHk1ERERWhyVEjhIRAd98k0zLFBi2Tg0ZAiVKpHouBwcHPvroI/bs2SPrgwohcpR0/cTauXMntra2gGHV4mfPnvFDfCW/HKRkyZLUqlULgOLFi+Po6KgfcC+ESJvFi9WkPW/vZHbu2AEHD6rWqXHj0nzOnNjiLYTI29KVUDk4OBj8oLt9+zagkpE6deqYNjJg7969tG/fHhcXF3Q6HevWrUtyzLx58yhbtix2dnZ4enqyb9++DF3r2LFjxMXF4erqamTUQuQtrq5QrRokGUKZsHXq3XehZMkUz3Hz5k169uwpM4aFEDmWUfORfXx8+Oeff0wVSxIRERF4eHjwzjvv0LVr1yT7V61axahRo5g3bx4NGzZkwYIFtGnThsDAQNzc3ADw9PQkMjIyyWe3bt2Ki4sLAA8ePKBv374sWrTIbPciRG7VqRN06ABJJuXt2gX794OtLYwfn+o5Pv/8c1atWkVISIjBcAIhhMgpjEqozL1qTZs2bWjTpk2K+2fOnMnAgQMZNGgQALNnz2bLli3Mnz+f6dOnA3D8+PFUrxEZGUnnzp2ZMGECDRo0MF3wQuQhFhbqoZewKvq778J/f7ykZNiwYdy9exdfX1+zxSiEEOZkVEKVleMcoqKiOH78OB988IHBdh8fHw4ePJimc2iaRv/+/WnevDl9+vR56fGRkZEGrV1hYWHpC1qIXGTXLjh7FgYMUMXPDezeDfv2gY3NS1unAKpVqyazbIUQOVqOnUZz//59YmNjcU5U08bZ2Vk/tutlDhw4wKpVq1i3bh21atWiVq1anD59OsXjp0+fTqFChfQPGW8l8rKPP4b/+z/47LNkdsaPnRo8GEqVytS4hBAiK+T4NR0St5JpmpbmlrNGjRqlqxrzhAkT8PPz078PCwuTpErkSQcPquFR1tYwbFiinXv2qIeNDSRqQU5s6NChlChRgtGjR5tsxXchhMgKRiVUNjY2pooj3ZycnLC0tEzSGnX37t0krVamYmtri62tLf7+/vj7+xMbG2uW6wiR3X35pXru2zeZBqj41qlBg6B06RTPceHCBRYsWICmaXTo0IHatWubJ1ghhMgERnX5HTt2zFRxpJuNjQ2enp5s27bNYPu2bdvMPrjc19eXwMBAjh49atbrCJEdnT0L69erquhJCp/v368GV1lbv7R1qly5cqxcuZJx48ZJMiWEyPGydZdfeHg4ly5d0r8PCgoiICAAR0dH3Nzc8PPzo0+fPtStWxcvLy8WLlxIcHAwQ4YMMWtc0kIl8rKvvlLPnTpBpUop7HznHVWgKhVWVlZ0796d7t27mzxGIYTIbDrNyNoH06dPx9nZmQEDBhhsX7x4Mffu3WN8Gmb4pGT37t14J1N+uV+/fixduhRQhT1nzJhBSEgI1atXZ9asWTRp0iTD10yPsLAwChUqRGhoqIz/EHlCcDCULw8xMXD4MNSvn2DnhQtQubIqmfDvv8lkW0IIkT2Y4/e30bP8FixYQOXKlZNsr1atGt99951R527WrBmapiV5xCdToOrXXL16lcjISI4fP55pyZQQedGsWSqZatYsUTIFMHu2Sqbat081mQoNDcXb25tVq1ala1KIEEJkZ0Z3+d2+fZuSySwpUaxYMUJCQow9fbYkXX4iL3rwAL7/Xr1OMjzqwQOI/0Pn/fdTPc/ChQvZvXs3d+/epVu3biaPUwghsoLRCZWrqysHDhygbNmyBtsPHDigX9olt/H19cXX11ffZChEXuDvDxERUKsW+Pgk2jl/Pjx7BnXqwEtaid955x2ePn1KlSpVsLDIsaXwhBDCgNEJ1aBBgxg1ahTR0dE0b94cgB07djBu3Djef8lfqkKInCEiAv73P/V6/Hg1w0/v+XOYO1e9fv/9RDuTcnJyYvLkyeYJVAghsojRCdW4ceN4+PAhw4YNIyoqCgA7OzvGjx/PhAkTjA4wO5IuP5HXLF6sevXKloU330y085df4M4dVXNKuvCEEHmU0e3tOp2OL7/8knv37nH48GFOnTrFw4cP+fjjj00RX7YkdahEXmNpCUWLwpgxYJXwzzBNg5kz1euRI1X9qRRs3LiRt956i3/++ce8wQohRBYwWR0qBwcH6tatC2TtoslCCNMbNgz69VOJlYGtW+HMGXBwUJXRUzF9+nQOHjyIm5sbNWvWNF+wQgiRBUwyIvSHH36gevXq2NnZYWdnR/Xq1Vm0aJEpTp0t+fv7U7VqVerVq5fVoQiRaeztwc4u0cb41qlBg6Bw4VQ//+2339K7d29GjhxplviEECIrGV3Y86OPPmLWrFn83//9H15eXgAcOnSIuXPnMnLkSKZNm2aSQLMjKewpcrszZ+D6dWjVCpJMyDt9GmrWVDsuX4YyZbIiRCGESDdz/P42OqFycnLi22+/pVevXgbbf/nlF/7v//6P+/fvGxVgdiYJlcjt3noLfv5ZjZ2KX1VG7513VO2pbt3g11+zIjwhhMgQc/z+NnoMVWxsrH7sVEKenp7ExMQYe3ohRBZydYVChSDR30sQEgIrVqjXLymPMmbMGAoVKoSvry+Ojo7mCVQIIbKY0WOo3n77bebPn59k+8KFC3nrrbeMPb0QIgt98YXKnerUSbTD3x+io6Fhw2TWoHnhxo0bzJkzh48//thgoXMhhMhtTDLL74cffmDr1q289tprABw+fJjr16/Tt29f/Pz89MfNjB/AmsNJHSqRl+TLl2hDRISqjA4vbZ0qUaIEP/74I/v27ePVV181T4BCCJENGD2GytvbO20X0unYuXOnMZfKdmQMlcitDhxQDVBNmyZT+HzePPD1hfLl4fz5ZGopCCFE9pYtx1Dt2rXLFHEIIbKRCRNg3z6YPVvV69SLjYVZs9TrUaMkmRJCiP/IyqRCCAOnTqlkysoqmZVkNm6ES5egSBE1yy8Fz58/p127dvz+++/SNS6EyBMy3EI1YMCANB23ePHijF5CCJEF4tc57toVXFwS7fzmG/U8ZIiq9JmCZcuW8eeff3LmzBk6duyIpbRkCSFyuQwnVEuXLsXd3Z3atWtj5DAsIUQ28fDhi2oIw4cn2nn0qGq6srZOZqehzp07c/PmTdzd3bFOZX0/IYTILTKcUA0ZMoSVK1dy5coVBgwYwNtvv51naszILD+RWy1eDM+eQa1aqiKCgfhZur16JdN0Zah48eJMmTLFLDEKIUR2ZNQsv8jISNasWcPixYs5ePAg7dq1Y+DAgfj4+OSJBZJllp/ITWJjoWJFCAqCRYtg4MAEO4ODoVw5dVBAAHh4ZFWYQghhNHP8/jZqULqtrS29evVi27ZtBAYGUq1aNYYNG4a7uzvh4eEmCVAIkTn+/FMlU0WKJFMZfc4clUy1aJFqMrV371769OnD6dOnzRusEEJkMyab5afT6dDpdGiaRlxcnKlOK4TIJPGD0QcNgvz5E+wIDYXvv1evX1LIc86cOfz000/MmzfPPEEKIUQ2ZVRCFRkZyS+//ELLli2pVKkSp0+fZu7cuQQHB+Pg4GCqGIUQZnb+PGzdqop4Dh2aaOcPP8CTJ1C1KrRunep5xowZQ+/evRn+kkHrQgiR22R4UPqwYcNYuXIlbm5uvPPOO6xcuZKiRYuaMjYhRCbx91fP7dtD2bIJdsTFqcrooAp5vmRspJeXF15eXmaJUQghsrMMD0q3sLDAzc2N2rVrpzoAfc2aNRkOLruTQekiN3jyBEqVUs9bt0LLlgl2bt0KrVpBoUJw82aqtaeEECKnyFZLz/Tt2zdPzOQTIrfbswfCw6FSJTXm3MB336nnvn1TTaY2bNjA2bNnGThwIMWKFTNfsEIIkU0ZVdgzr5I6VCI3eeMNuHJFNUBZJBxVefMmrF+vXg8Zkuo5pk+fzqFDh4iOjuajjz4yX7BCCJFNZWhQ+j///JOumXxnz54lJiYmI5fKlnx9fQkMDOTo0aNZHYoQJlGmTDKFPBctUqUSmjRRA9JToGka7733Hl5eXgwePNiscQohRHaVoTFUlpaW3L59O81N+wULFiQgIIBy5cqlO8DsTMZQiZzu3j1I9r9xTIzKsm7ehJ9/TqYwlRBC5FzZZgyVpml89NFH5DcoVpOyqKiojFxGCGFG166pyuht28Kvv4KNTYKdmzapZKpYMejSJctiFEKInCJDCVWTJk04f/58mo/38vIiX758GbmUEMJMtm6F6GiIiEiUTAHMn6+eBwwAW9sUz/H7779jYWFBhw4dsLLK8JBMIYTI8Yxayy+vky4/kdP9+y88f64WQ9a7cgXKl1c1py5dUmv4JSM2NpaKFSsSFBTEsmXL6Nu3b6bELIQQxsp2a/kJIXK2ypUTJVMACxao51atUkymQK2U0KtXLypVqsSbb75pthiFECInkBYqI0gLlcipHjyAZBc2iIyE0qXh/n1Ytw46dnzpuTRNk5p0QogcJdu3UC1cuJAHDx6Y8pRm9eTJE+rVq0etWrWoUaMG38cvACtELnbiBJQoAW+9BUn+nFqzRiVTpUtDu3ZpOp8kU0IIYeKEKiAgAA8PD1q1asXixYt59OiRKU9vcvnz52fPnj0EBATw999/M3369ByVEAqRET/8oKoixMYmszRf/GD0wYMhlUHmq1ev5vTp0+YLUgghchiTJlTz5s0jODiYDz74gKNHj1KjRg3atWvHsmXLCA0NNeWlTMLS0lJf+uH58+fExsYiPaAiN3v2DFasUK8HDky08+xZ2LcPLC2T2fnC06dPGTRoEDVr1uTAgQPmC1YIIXIQkw9Kt7CwwNvbm/nz5xMcHMzo0aOZOXMmzs7O6T7X3r17ad++PS4uLuh0OtatW5fkmHnz5lG2bFns7Ozw9PRk37596brG48eP8fDwoHTp0owbNw4nJ6d0xylETrFmDYSGgrt7Muv2xQ9G79BBrZacgkePHvH666/zyiuv4OXlZb5ghRAiBzHbLL99+/YxatQoBgwYQIkSJZg3b166zxEREYGHhwdz585Ndv+qVasYNWoUEydO5OTJkzRu3Jg2bdoQHBysP8bT05Pq1asnedy6dQuAwoULc+rUKYKCgvj555+5c+dOxm5YiBxg0SL1/M47idbti4iAZcvU66FDUz1HqVKl+O233/jnn3+wsJCJwkIIASae5bd//35WrVrFunXrqFSpEt27d6dr164UTXY6UfrodDrWrl1Lp06d9Nvq169PnTp1mB8/7gOoUqUKnTp1Yvr06em+xtChQ2nevDndunVLdn9kZCSRkZH692FhYbi6usosP5EjXL4MFSqocVNXr4KbW4KdP/wAgwap+lMXLiTKtoQQInfJ9rP8Jk2aRNWqVTl+/Djbt2/n3XffNUkylZyoqCiOHz+Oj4+PwXYfHx8OHjyYpnPcuXOHsLAwQH1x9+7dS6VKlVI8fvr06RQqVEj/cHV1zfgNCJHJFi9Wzy1bJkqmAL77Tj2/916qydTGjRuz/WQTIYTICiZdK2Ls2LHodDqOHTsGqFYlJycnqlWrluZ1/9Lq/v37xMbGJhmb5ezszO3bt9N0jhs3bjBw4EA0TUPTNIYPH07NmjVTPH7ChAn4+fnp38e3UAmR3cXEwNKl6nWS8ebHjqmHjY3qC0xBSEgInTt3xtramosXL1IqlXFWQgiR15g0ofr999+TbHv48CFnzpxh4cKFtEgyCtZ4iWvgpKfIoKenJwEBAWm+lq2tLba2tvj7++Pv709sbGx6QhUiy2zZArduqWKeSWp1xrdOdesGqUzKuHXrFlWrVsXBwUGSKSGESMSkCdWSJUuS3X7jxg26dOnCkSNHTHYtJycnLC0tk7RG3b17N0MzCtPD19cXX19ffR+sENndDz+o57ffTrTW8ePH8PPP6vWQIameI/4PEOnyE0KIpDJl5Gnp0qWJjo426TltbGzw9PRk27ZtBtu3bdtGgwYNTHqtxPz9/alatSr16tUz63WEMIU7d2DDBvU6SXff8uWqOFX16tCw4UvPpdPpcHR0NH2QQgiRw2VKQnXo0KEMjaIPDw8nICBA3y0XFBREQECAviyCn58fixYtYvHixZw7d47Ro0cTHBzMkJf8pW0sX19fAgMDOXr0qFmvI4QpLF+uxlC9+irUqJFgh6a96O4bMiSZsukv7N+/X7q4hRAiFSbt8qtXr16S8UsPHz6kSJEiLIuvcZMOx44dw9vbW/8+fkB4v379WLp0KT169ODBgwdMmTKFkJAQqlevzp9//om7u7txNyJELlK3rqrVmWTs1L59EBgI+fOrvsAUnD59msaNG1OxYkVOnz6NrUGfoRBCCDDzoHSdTkfRokWxt7fP0PmaNWv20qVghg0bxrBhwzJ0/oySQekiJ2nWTD2SiG+deustSGUs4Llz5yhcuDA1a9aUZEoIIVJgssKejx8/RtM0ihQpYorT5QjmKAwmRKa4exdKl4boaFUywdMz1cOfP3/O48ePKVGiRCYFKIQQ5pMtC3seOnSI2rVrU7RoUZycnPDw8EhzYU0hhPk8eQKTJ0NQUDI7lyxRyVS9ei9NpgDs7OwkmRJCiFQYlVBdu3aNli1bYmVlxfTp0/niiy+wtbWlZcuWBCX7Uzx3kFl+Iif49VeYMgXatFHjz/Xi4mDhQvX6Jev2hYSEmC9AIYTIRYzq8nvvvfcICgrir7/+wtLSEoC4uDjatWtHqVKlWBS/EmsuJV1+IjvbsQO+/BJ8fGDMmAQ79u6Fpk2hQAEICYEUxjheuXKFChUq4O3tzebNm7G2ts6cwIUQwszM8fs7w4PSg4OD2b17N+PGjePmzZsG+3r06MHUqVO5fv26LM0iRBZp0UI9kvzJFL8GTffuKSZTAHv37gXA0tJSkikhhHiJDLdQWVhYpLrES/wSMLl5Jpy0UIkcJyICSpSA8HBVNqFRo1QPDw4OJiwsjOrVq2dSgEIIYX7ZalD6iRMncHNz43//+x8nTpwweMydOxc3NzdOnDhhkiCzGxlDJbKzqCiYMQMSNRwra9aoZKp8+TRVRndzc5NkSggh0sCoMVR9+/bl2bNn/Pbbbwbbe/bsiY2NDT/++KPRAWZn0kIlsqM1a6BrV1UV4do1sEj4Z1OLFrBzpxqt/tFHKZ4jJiYGKyuTlqkTQohsI1uNoQIYP348tWvXpmPHjrz99tvodDpWrFjBpk2bOHnypEkCFEKkT8KFkA2SqWvXVDIF0Ldvip9/+PAhlStXpnPnzsyZMwc7OzvzBSuEELmEUQlVtWrVWLlyJUOGDGHDf6uvFi1alBUrVlCtWjWTBCiESLubN2HzZvV6wIBEO5cvV8/e3pDK8kxr1qzh3r17HDlyRJIpIYRII6Pb9Lt06UL79u05ffo0mqZRs2bNXD8jSJaeEdnV0qWqzFSTJlCxYoIdmgbx62n275/qOQYMGED58uWJiYkxV5hCCJHrmGzpmbxIxlCJ7CQuDipUUJXRly1L1Kt34ICa0efgALdvp1ouQQghcrtsNctPCJG97N6tkqmCBeHNNxPtjK899eabkkwJIYQZSEIlRC4RPxi9Vy/Inz/BjqdPYdUq9TqV7r7nz5/TsGFDvv76a54/f262OIUQIjeShEqIXODxY1i9Wr0eODDRznXr1ErJZctC48YpnmPdunUcPHiQb7/9NtePgxRCCFOTQjNC5AK//QaRkVC9OtStm2hnfHdf376J6igYatu2LQsXLsTS0lK/NqcQQoi0kYQqA2SWn8huVqxQz2+/DQYrQl2/Dtu3q9ep1J4CKFiwIIMHDzZPgEIIkcvJLD8jyCw/kR1cvw5ubur1tWsvXgMwfTp8+CE0bapGrQshhJBZfkKIpOLHTjVtmiiZ0rQX3X39+qX4+bi4OAYNGsT69eul9pQQQmSQtFAZQVqoRHYQG6tWlLG2hmbNEuw4dAgaNFBT/m7fhgIFkv38jh07eP311ylUqBAhISHky5cvU+IWQoisku3W8hNCZD1LS2jZMpkd8ZXR33wzxWQKoFy5cowZMwY7OztJpoQQIoOkhcoI0kIlsq1nz6BkSQgNhR07oHnzrI5ICCGyDRlDJYTQi4sDLy94/314+DDRzj/+UMmUm1uifkAhhBDmIAmVEDnUvn1w+DAsWpSoMjq86O7r1y/V2lMzZ84kMDDQfEEKIUQeIV1+GZCwDtWFCxeky09kiago2LwZQkLgvfcS7Lh1C1xdVRPWxYtqxeRknDp1ilq1amFjY8OdO3coXLhwpsQthBBZTQalZxO+vr74+vrqvyFCZAUbG+jQIZkdP/2kkqlGjVJMpuJ17NiR/PnzSzIlhBBGkoRKiNwkjbWnADw8PFi3bh1xcXHmj0sIIXI5SaiEyIFGjwZ7exg6FEqVSrDj6FE4dw7y5YNu3dJ0LotUxlgJIYRIG/lJKkQOExoK8+fDZ5/BvXuJdsYPRu/SBVLpjt60aRNhYWHmC1IIIfIYSaiEyGFWr4bISKhaFTw8Eux4/hx++UW9TqW7LyQkhA4dOlCyZEnu379v3mCFECKPkC4/IXKYFSvU81tvgU6XYMeGDfDoEZQunWohz+vXr/PKK69QuHBhnJyczBusEELkEZJQCZGD3LwJu3ap1717J9oZ393Xt69ajyYFr776KoGBgTx+/NgsMQohRF4kXX7A06dPcXd3Z8yYMVkdihCp+uUXNZGvUSMoUybBjtu3VVEqUAnVS+h0OooUKWKWGIUQIi+ShAr47LPPqF+/flaHIcRLJezuM/DbbxAbC/XrQ6VKKX7+1q1bSC1fIYQwvTyfUF28eJF///2Xtm3bZnUoQqQqMBACAsDKKpmKCCtXqudevVL8vKZpeHt7U65cOQICAswVphBC5EnZOqHau3cv7du3x8XFBZ1Ox7p165IcM2/ePMqWLYudnR2enp7s27cvXdcYM2YM06dPN1HEQphPfOtUmzZQtGiCHdeuwcGDaoR6KrWngoODuXXrFnfu3KF8+fLmDVYIIfKYbD0oPSIiAg8PD9555x26du2aZP+qVasYNWoU8+bNo2HDhixYsIA2bdoQGBiIm5sbAJ6enkRGRib57NatWzl69CivvPIKr7zyCgcPHjT7/QiRUXFxqXT3rVqlnps1AxeXFM/h7u7OnTt3CAgIoECBAmaJUwgh8qocsziyTqdj7dq1dOrUSb+tfv361KlTh/nz5+u3ValShU6dOqWp1WnChAn89NNPWFpaEh4eTnR0NO+//z4ff/xxssdHRkYaJGdhYWG4urrK4sjC7Pbvh8aNoUABNf48f/4EO+vUgZMnYcECePfdLItRCCFyCnMsjpytu/xSExUVxfHjx/Hx8THY7uPjk+bWpunTp3P9+nWuXr3K119/zeDBg1NMpuKPL1SokP7h6upq1D0IkVbxrVNduiRKps6fV8mUlZXamYIc8neTEELkWDk2obp//z6xsbE4OzsbbHd2dub27dtmueaECRMIDQ3VP65fv26W6wiRkKapnAmS6e6LH4zesiWkUqTzvffeo1WrVtK1LYQQZpKtx1Clhc6gVLT6SzzxtrTo37//S4+xtbXF1tYWf39//P39iY2NTfd1hEgvnQ4OHYIjR6Bu3QQ7NC1Ns/uioqL49ddfCQ0N5cMPPzRvsEIIkUfl2BYqJycnLC0tk7RG3b17N0mrlan5+voSGBjI0aNHzXodIeLpdKrElEEB9H/+gX//BVtb6Ngxxc/a2Nhw/PhxvvrqKxo3bmz+YIUQIg/KsQmVjY0Nnp6ebNu2zWD7tm3baNCggVmv7e/vT9WqValXr55ZryNEZKR6JCu+dapdO3jJoMry5cszZswYLCxy7H95IYTI1rL1T9fw8HACAgL0RQiDgoIICAggODgYAD8/PxYtWsTixYs5d+4co0ePJjg4mCFDhpg1LmmhEpll5UooUQKmTk20I2F3X8+emR6XEEIIQ9l6DNWxY8fw9vbWv/fz8wOgX79+LF26lB49evDgwQOmTJlCSEgI1atX588//8Td3T2rQhbCpDZvhmTXMP77b7h6FRwcVAtVCn777Tf27t3LgAEDqF27trnCFEKIPC9bJ1TNmjV76XTvYcOGMWzYsEyKSJFB6SKz/PQTDB6czPJ88a1THTsmqqNgaOHChWzfvp2SJUtKQiWEEGaUYwp7ZkfmKAwmxEvFxkLp0qrC54YN8MYbKR66ZcsWVqxYwaeffkrZsmUzMUghhMi+zPH7WxIqI0hCJcxJ09TsviR27YLmzaFIEZVU2dhkemxCCJGTSaX0bEJm+Qlzu3kTXF1hxAi1jp+B+O6+rl0lmRJCiGxCEqoMkFl+wtzWrFFJ1fHjYFDpIDoafv9dvU5ldt+VK1f43//+x507d8wbqBBCCEASKiGypficqVu3RDu2bYOHD8HZGZo1S/HzP/74IyNHjmTAgAFmi1EIIcQLklAJkc2EhMC+fep1kvWO47v7undPVDbd0CuvvMKrr75Kr1SWpBFCCGE62bpsQnYlZROEOa1dqwak168Pbm4Jdjx7BuvWqdcvKebZu3dvevfu/dKyI0IIIUxDWqgyQMZQCXP67Tf1nKS776+/4MkTlWW99lqazpWRhcKFEEKknyRUQmQjd+7A3r3qddeuiXb+8ot67tEj0Uj1F2JjY9m6dSsxMTHmC1IIIUQSklAJkY2sXavKJNSrB2XKJNjx5Als3KhepzIuateuXbRq1YqaNWtKd58QQmQiSagyQOpQCXOJn9335puJdqxfD8+fwyuvQK1aKX7+zp07ODk50aRJE+nuE0KITCSV0o0gldKFKd27ByVKqBaqy5ehXLkEO9u3Vy1UH38Mn36a6nmio6MJDw+nSJEi5g1YCCFyKKmULkQutm6dSqbq1EmUTD18CFu2qNcvmd0HYG1tLcmUEEJkMkmohMgmUpzdt2aNqpDu4QFVqqT4+Xv37pkvOCGEEKmShEqIbCAmRjVEQTKz++KLeabSOvX48WNcXV3x8vIiNDTUPEEKIYRIkRT2FCIbsLKCY8cgKAjKlk2w4/Zt2LVLve7RI8XPHzx4kKioKP24ACGEEJlLEqoMkErpwlwMkilQ/YBxcapsepKdL7Rt25Zbt25x48YN8wYohBAiWTLLzwgyy0+YwrNnEBsLDg7J7GzYEA4ehNmzYeTIzA5NCCFyJZnlJ0QutGoVFC8O48cn2nHtmkqmdLpkRqoLIYTITiShEiKL7dunWqmStFDFT/tr2hRcXFL8/MCBA+nbty+BgYHmC1IIIUSqJKESIostWgQnTsDAgYl2rFmjnlNpnYqIiOCXX35h+fLlREZGmi9IIYQQqZJB6UJkMZ0OatdOtPHWLTh0SL3u1CnFz+bLl4+tW7eybds2aqWyJI0QQgjzkoRKiCwUGwuWlsnsWLdOPXt5pdrdZ2FhQaNGjWjUqJFZ4hNCCJE20uUnRBYJC4NSpaBvXzWGykB8d1+XLpkelxBCiPSThCoD/P39qVq1KvXq1cvqUEQOtnEj3LkDR4+CnV2CHQ8ewO7d6nXnzil+fs+ePXz++edcunTJrHEKIYR4OUmoMsDX15fAwECOHj2a1aGIHCx+Et+bb6pxVHobNqi+QA8PKF8+xc8vWrSIiRMnMm/ePPMGKoQQ4qVkDJUQWeDJE/jrL/U62cWQ4aXdfa1bt+bevXt0kxpVQgiR5aRSuhGkUrrIqJUroVcvqFgRzp9P0EIVHg5OThAZCadPQ/XqWRqnEELkRlIpXYhc4vff1XOS7r6//lLJVIUKUK1alsQmhBAi/SShEiKTRUTAn3+q16l29xlkWi9ER0ezZs0anj59ar4ghRBCpIskVEJksj//VGUSypUDg1qcz5+rqX+Q6vipXbt20bVrV6pXr4702AshRPYgCZUQmSy+u69bt0SNUDt2qDFUpUpBKiU5wsLCKFOmDD4+PuhSaMUSQgiRufL8LD8rKyuq/zfwt27duixatCiLIxK52dOnLxqh3nwz0c747r7OncEi5b913nzzTbp27SpdfkIIkY3k+YSqcOHCBAQEZHUYIo/YvFklVWXKgKdngh0xMfDHH+p1Gqqj63Q67O3tzRKjEEKI9JMuPyEyUYqz+/btUxXSixaFxo1T/Py9e/fMG6AQQogMydYJ1d69e2nfvj0uLi7odDrWxS8Ym8C8efMoW7YsdnZ2eHp6sm/fvnRdIywsDE9PTxo1asSePXtMFLkQyXv0SCVSSRqh4rv7OnQAq+QbjmNjY6lZsyZVqlSR5WaEECKbydZdfhEREXh4ePDOO+/QtWvXJPtXrVrFqFGjmDdvHg0bNmTBggW0adOGwMBA3NzcAPD09CQyMjLJZ7du3YqLiwtXr17FxcWFM2fO0K5dO06fPi1FOoXZ/PWXWr+vWLEEG+PiYO1a9TqV7r5///2Xhw8f8uzZM/2/byGEENlDjqmUrtPpWLt2LZ06ddJvq1+/PnXq1GH+/Pn6bVWqVKFTp05Mnz493ddo06YNU6dOpW7dusnuj4yMNEjOwsLCcHV1lUrpwjhHjkD9+uDgAPfuJVop2VBYWBhnzpyhQYMGmRigEELkLlIpPYGoqCiOHz+Oj4+PwXYfHx8OHjyYpnM8evRInyDduHGDwMBAypUrl+Lx06dPp1ChQvqHq6trxm9A5Cmaprr7khXf3deuXarJFEDBggUlmRJCiGwoxyZU9+/fJzY2FmdnZ4Ptzs7O3L59O03nOHfuHHXr1sXDw4M33niDOXPm4OjomOLxEyZMIDQ0VP+4fv26Ufcg8o6AANXN1769Sq70NA1Wr1av0zC7TwghRPaUrcdQpUXiwoaapqW52GGDBg04ffp0mq9la2uLra0t/v7++Pv7Exsbm65YRd61fz/Exqrx5gb/PM+ehUuXwNYW2rRJ8fMff/wxp0+f5v3336dRo0bmD1gIIUS65NgWKicnJywtLZO0Rt29ezdJq5Wp+fr6EhgYyNGjR816HZF7/N//weXLMG1aoh3x3X0+PlCgQLKf1TSN5cuXs27dOu7cuWPeQIUQQmRIjk2obGxs8PT0ZNu2bQbbt23bJmNMRLZUrhxUq5ZoY8LFkFPxxx9/8NFHH9G6dWvzBCeEEMIo2brLLzw83KDeTlBQEAEBATg6OuLm5oafnx99+vShbt26eHl5sXDhQoKDgxkyZIhZ45IuP5Eempaomy/elStw6hRYWqrBVSnQ6XTUrFmTmjVrmi9IIYQQRsnWZRN2796Nt7d3ku39+vVj6dKlgCrsOWPGDEJCQqhevTqzZs2iSZMmmRKfOaZditync2dVamraNKhRI8GOb76BMWOgeXO1MLIQQohMYY7f39k6ocquErZQXbhwQRIqkaLQUDW7Lzoazp+HV15JsLNhQzh4EObOBV/fZD9/7tw5li1bRvfu3alTp07mBC2EELmc1KHKJmRQukirzZtVMlW5cqJkKiREJVMACYrVJrZy5Uq+/PJLpkyZYtY4hRBCGCdbj6ESIqdbv149d+iQaEf8upSvvQalSqX4+YYNG9K9e3fefPNNs8QnhBDCNCShygAZlC7SIjoa/vxTve7YMdHONM7u8/HxSbIagBBCiOxHxlAZQQali9Ts3AktWqgxVCEhajIfAA8fQvHiqtLnxYtQoUKWximEEHmNjKESIgf54w/13L59gmQKYMMGlUzVrJlqMrVx40YePnxo3iCFEEKYhCRUQpiBpr1IqJKMn4rv7uvcOcXPh4SE0L59e5ydnXmU4qrKQgghsgsZQ5UBMoZKvMzp03DtGtjZQcuWCXaEh8OWLep1KuOnbt68Sc2aNcmXLx9FihQxb7BCCCGMJglVBvj6+uLr66vvgxUisfjWqZYtIX/+BDs2b4bISChfPlGVT0N169bl1KlTREREmDdQIYQQJiFdfkKYQXy5hFRn9yW7Ho0he3t70wYmhBDCLCShEsLEbt6EY8dUvvTGGwl2REfDX3+p16kU83zy5Aky+VYIIXIWSaiEMLHjx8HaWtXsdHZOsOPAAXj8GJycoH79FD8/cuRIXF1d+fXXX80eqxBCCNOQMVQZIIPSRWo6dIB791TtKQMbN6rntm0T1VF4QdM09uzZw82bN3FycjJvoEIIIUxGCnsaQQp7inSpXFmtkPzrr9CtW4qHPX/+nF27dvH6669jbW2diQEKIUTeYI7f39JCJYQJxcSAVXL/qy5eVMmUlRW0apXqOezs7GjTpo15AhRCCGEWMoZKCBMaMADq1YPt2xPtiO/ua9oUpDVTCCFyHUmohDCR2Fi1GPKxY6qgp4H4hMpg2p+hy5cv07JlS+bPn2++IIUQQpiFJFQZ4O/vT9WqValXr15WhyKyEUtLOHMGFi8GL68EO0JDYe9e9bp9+xQ/v379erZv387vv/9u3kCFEEKYnAxKN4IMShdp8uuv0KOHGpR+7lyKh129epU1a9ZQpkwZuqSyLI0QQgjjyKB0IXKiNHT3AZQpUwY/P79MCEgIIYSpSZefECZw9iy0aAELFiTaET+wClLt7hNCCJGzSUIlhAmsWwc7d75ojNI7fBgePIAiRaBBgxQ/v2TJErZv305UVJRZ4xRCCGEeklAJYQJ//KGeO3RItCM+w2rTJoUCVRAVFcXIkSNp2bIlJ0+eNF+QQgghzEYSKiGMdOsWHD2qXifp1duwQT2nMn4qLCyM7t274+HhITNHhRAih5JB6UIYKT5nql8fSpRIsCMoSA2usrSE1q1T/LyTkxOLFi0yb5BCCCHMSlqoMkDqUImE1q9Xzx07JtqxaZN6btRIjaESQgiRa0lClQG+vr4EBgZyNL6fR+RZERGwY4d6nWT8VBq6++7evcuNGzfME5wQQohMIwmVEEbYuRMiI6FMGahaNcGOJ09g9271OpWEasGCBbi6ujJ69GhzhimEEMLMJKESwgh//aWe27QBnS7Bju3bISoKKlSASpVS/Pz169fR6XRUr17dvIEKIYQwK0mohMggTXtRs7Nt20Q7E3b3GWRahhYuXEhISAjdu3c3T5BCCCEyhczyEyKD/v0Xrl0DGxvw9k6wIy7uxYD0lyw3A+Ds7GyeAIUQQmQaaaESIoPiu/uaNgV7+wQ7jh2Du3ehYEFo3DjFz8u65EIIkXtIQiVEBm3bpp5T7O5r1Uo1XyUjIiKC0qVL06dPHyIiIswXpBBCiEyR57v8goKCGDBgAHfu3MHS0pLDhw9jb9DcIETy1qyBPXugRo1EO+KXm0mlu2/79u3cunWLAwcOkD9/fvMFKYQQIlPk+YSqf//+TJs2jcaNG/Pw4UNsbW2zOiSRQ+TLl0wB9Bs3ICBADURP0nT1Qrt27di7dy8PHz5El8qgdSGEEDlDnk6ozp49i7W1NY3/G+fi6OiYxRGJHC++dcrLC5ycUjzMyspK/+9OCCFEzpetx1Dt3buX9u3b4+Ligk6nY926dUmOmTdvHmXLlsXOzg5PT0/27duX5vNfvHgRBwcHOnToQJ06dfj8889NGL3IrTRNDY8aNw4ePEi0Mw3dfUIIIXKfbN1CFRERgYeHB++88w5du3ZNsn/VqlWMGjWKefPm0bBhQxYsWECbNm0IDAzEzc0NAE9PTyIjI5N8duvWrURHR7Nv3z4CAgIoXrw4rVu3pl69erRs2dLs9yZyrsBA2LoV9u6FTz5JsOPp0xfr0LRvn+LnFyxYwIMHD+jVqxdly5Y1a6xCCCEyR7ZOqNq0aUObNm1S3D9z5kwGDhzIoEGDAJg9ezZbtmxh/vz5TJ8+HYDjx4+n+PnSpUtTr149XF1dAWjbti0BAQEpJlSRkZEGyVloaCgAYWFh6bsxkaMVLgyLF8PNmxATA/pv/+bN8Pw5uLqqRwr/LmbOnMmFCxcoUaIERYsWzbS4hRBCKPG/t01avkbLIQBt7dq1+veRkZGapaWltmbNGoPjRowYoTVp0iRN54yOjtZq1aqlPXz4UIuNjdXeeOMNbcOGDSkeP3nyZA2QhzzkIQ95yEMeueBx+fLlDOUkycnWLVSpuX//PrGxsUmqTDs7O3P79u00ncPKyorPP/+cJk2aoGkaPj4+vJHK2JcJEybg5+enf//48WPc3d0JDg6mUKFCGbuRHCgsLAxXV1euX79OwYIFszqcTCP3LfedF8h9y33nBaGhobi5uZl0MlqOTajiJZ5yrmlauqahv6xbMSFbW9tkyyoUKlQoT/1DjFewYEG57zxE7jtvkfvOW/LqfVtYmG5uXrae5ZcaJycnLC0tk7RG3b17V9ZGE0IIIUSmyrEJlY2NDZ6enmyLX//jP9u2baNBgwZZFJUQQggh8qJs3eUXHh7OpUuX9O+DgoIICAjA0dERNzc3/Pz86NOnD3Xr1sXLy4uFCxcSHBzMkCFDMiU+W1tbJk+enOeqq8t9y33nBXLfct95gdy36e5bp2nZd8n73bt34+3tnWR7v379WLp0KaAKe86YMYOQkBCqV6/OrFmzaNKkSSZHKoQQQoi8LFsnVEIIIYQQOUGOHUMlhBBCCJFdSEIlhBBCCGEkSaiEEEIIIYwkCVUGffbZZzRo0ID8+fNTuHDhVI998OABpUuXRqfT8fjx40yJz1xedt8PHjygdevWuLi4YGtri6urK8OHD8/x6x2+7L5PnTpFr169cHV1JV++fFSpUoU5c+ZkfqAmlpZ/5yNHjsTT0xNbW1tq1aqVqfGZS1ruOzg4mPbt22Nvb4+TkxMjRowgKioqcwPNBCdOnKBly5YULlyYokWL8u677xIeHp7VYZndhQsX6NixI05OThQsWJCGDRuya9eurA7LrHbv3o1Op0v2cfTo0awOz+w2bdpE/fr1yZcvH05OTnTp0iVdn5eEKoOioqLo1q0bQ4cOfemxAwcOpGbNmpkQlfm97L4tLCzo2LEj69ev58KFCyxdupTt27dnWikLc3nZfR8/fpxixYrx008/cfbsWSZOnMiECROYO3duJkdqWmn5d65pGgMGDKBHjx6ZGJl5vey+Y2NjadeuHREREezfv5+VK1eyevVq3n///UyO1Lxu3brF66+/ToUKFfj777/ZvHkzZ8+epX///lkdmtm1a9eOmJgYdu7cyfHjx6lVqxZvvPFGmpc2y4kaNGhASEiIwWPQoEGUKVOGunXrZnV4ZrV69Wr69OnDO++8w6lTpzhw4AC9e/dO30lMtipgHrVkyRKtUKFCKe6fN2+e1rRpU23Hjh0aoD169CjTYjOnl913QnPmzNFKly5t3oAySXrue9iwYZq3t7d5A8okabnvyZMnax4eHpkST2ZJ6b7//PNPzcLCQrt586Z+2y+//KLZ2tpqoaGhmRiheS1YsEArXry4Fhsbq9928uRJDdAuXryYhZGZ17179zRA27t3r35bWFiYBmjbt2/PwsgyV1RUlFa8eHFtypQpWR2KWUVHR2ulSpXSFi1aZNR5pIXKjAIDA5kyZQo//vijSdcLyklu3brFmjVraNq0aVaHkulCQ0NNuvCmyD4OHTpE9erVcXFx0W9r1aoVkZGRHD9+PAsjM63IyEhsbGwMfn7ly5cPgP3792dVWGZXtGhRqlSpwo8//khERAQxMTEsWLAAZ2dnPD09szq8TLN+/Xru37+f61skT5w4wc2bN7GwsKB27dqULFmSNm3acPbs2XSdJ2/+ls8EkZGR9OrVi6+++go3N7esDifT9erVi/z581OqVCkKFizIokWLsjqkTHXo0CF+/fVX3nvvvawORZjB7du3k6wZWqRIEWxsbHJVl1Dz5s25ffs2X331FVFRUTx69IgPP/wQgJCQkCyOznx0Oh3btm3j5MmTFChQADs7O2bNmsXmzZtfOmY2N/nhhx9o1aoVrq6uWR2KWV25cgWATz75hEmTJrFx40aKFClC06ZNefjwYZrPIwlVAp988kmKA/LiH8eOHUvTuSZMmECVKlV4++23zRy18Ux53/FmzZrFiRMnWLduHZcvX8bPz89M0WecOe4b4OzZs3Ts2JGPP/6Yli1bmiFy45jrvrM7U9+3TqdLsk3TtGS3Zzdp/VpUq1aNZcuW8c0335A/f35KlChBuXLlcHZ2xtLSMqtvI93Set+apjFs2DCKFy/Ovn37OHLkCB07duSNN97IkYlkRv7t37hxgy1btjBw4MAsitp4ab3vuLg4ACZOnEjXrl3x9PRkyZIl6HQ6fvvttzRfL1uv5ZfZhg8fTs+ePVM9pkyZMmk6186dOzl9+jS///47oH7QAjg5OTFx4kQ+/fRTo2I1JVPed7wSJUpQokQJKleuTNGiRWncuDEfffQRJUuWNCJS0zLHfQcGBtK8eXMGDx7MpEmTjIjOfMxx3zmBKe+7RIkS/P333wbbHj16RHR0dJKWq+woPV+L3r1707t3b+7cuYO9vT06nY6ZM2dStmzZTIjUtNJ63zt37mTjxo08evSIggULAmqZs23btrFs2TI++OCDzAjXZDLyb3/JkiUULVqUDh06mDEy80rrfT958gSAqlWr6rfb2tpSrlw5goOD03w9SagScHJywsnJySTnWr16Nc+ePdO/P3r0KAMGDGDfvn2UL1/eJNcwFVPed3Lik8nIyEizXSMjTH3fZ8+epXnz5vTr14/PPvvMZOc1NXN/v7MrU963l5cXn332GSEhIfo/ErZu3YqtrW2OGGOTka9FfKK4ePFi7OzssmXr68uk9b6fPn0KkGTsq4WFhb41IydJ7/db0zSWLFlC3759sba2NmNk5pXW+44v+3L+/HkaNWoEQHR0NFevXsXd3T3N15OEKoOCg4N5+PAhwcHBxMbGEhAQAECFChVwcHBIkjTdv38fgCpVquToPviX3feff/7JnTt3qFevHg4ODgQGBjJu3DgaNmyYo1s9XnbfZ8+exdvbGx8fH/z8/PTjaCwtLSlWrFgWRm6cl903wKVLlwgPD+f27ds8e/ZMf0zVqlWxsbHJosiN87L79vHxoWrVqvTp04evvvqKhw8fMmbMGAYPHqxv0cgt5s6dS4MGDXBwcGDbtm2MHTuWL774Ikf/HHsZLy8vihQpQr9+/fj444/Jly8f33//PUFBQbRr1y6rwzO7nTt3EhQUlKO7+9KjYMGCDBkyhMmTJ+Pq6oq7uztfffUVAN26dUv7iYyfcJg39evXTwOSPHbt2pXs8bt27coVZRNedt87d+7UvLy8tEKFCml2dnZaxYoVtfHjx+f6+548eXKy+93d3bM0bmOl5d9506ZNkz0mKCgoy+I2Vlru+9q1a1q7du20fPnyaY6Ojtrw4cO158+fZ13QZtKnTx/N0dFRs7Gx0WrWrKn9+OOPWR1Spjh69Kjm4+OjOTo6agUKFNBee+017c8//8zqsDJFr169tAYNGmR1GJkqKipKe//997XixYtrBQoU0F5//XXtzJkz6TqHTtP+648RQgghhBAZIrP8hBBCCCGMJAmVEEIIIYSRJKESQgghhDCSJFRCCCGEEEaShEoIIYQQwkiSUAkhhBBCGEkSKiGEEEIII0lCJYQQQghhJEmohBBCCCGMJAmVECLPadKkCTqdjqlTpxps1zSN+vXro9Pp+Pjjj7MoOiFETiQJlRAiT9E0jYCAANzd3Tl9+rTBvmXLlnHr1i0A6tSpkxXhCSFyKEmohBB5ysWLF3ny5An9+/c3SKiePHnChAkT6N+/PwCenp5ZFKEQIieShEoIkaccP34cOzs7evXqxcWLF4mMjARg6tSp1KpVi5IlS+Lk5ISrq2sWRyqEyEkkoRJC5CknTpygZs2avPLKK9jb23Pu3DkuXrzIvHnzmDVrFidOnMDT05OrV69St25dg8/279+fjRs3AtC0aVP27t1rsH/o0KH/364duyQTx3Ec/xx0TYKIJ80uInFY4Ra0uoeiYwgh6OZf0JS7tLT0D1xL5i5Em3jncLY2NRRBhaOhNjxwPMHzQPDDPPD92u743fH9be/hq8vLy1+7C4D4IKgAbBTf91UsFmVZlgqFgiaTidrtthqNhvL5vHzf/9H+VLValed50fN8Ptft7a3K5fIqxwcQUwQVgI0yHo+jYNrb21O329VwONTZ2Zlms5keHh5+FFSVSkU3NzdaLBaSpLu7O+3u7iqTyax0fgDxRFAB2BiPj4/6+PiIFs739/c1Go10fn6uZDKpMAz1+fn5o4X0nZ0d5XI53d/fS5I8z1OtVlvp/ADii6ACsDF839f29rZc15UknZyc6PX1Vaenp5L+7FelUills1lZlvXPf/z9vlar6fr6WvP5XP1+X8fHx6u/BIBYIqgAbIwgCOS6rmzbliTZti3HcaJICoJABwcHkqR0Oq339/dv37+9vclxnOi5XC6r1+tpMBioUCgonU7/0k0AxI21XC6X6x4CAOKoWCzq4uJCh4eHenp60tHRkcIwVCKRiM6USiU9Pz+r3W6rXq+vcVoA60RQAcB/TCYTtVotTadTbW1tqdPpqFQqfTtzdXWlZrOpl5cXpVKpNU0KYN0IKgAAAEPsUAEAABgiqAAAAAwRVAAAAIYIKgAAAEMEFQAAgCGCCgAAwBBBBQAAYIigAgAAMERQAQAAGCKoAAAADBFUAAAAhggqAAAAQ1+2AGEr5n5REwAAAABJRU5ErkJggg==", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Case with no LW feedback\n", "SFE_pop3_noLW = SFRD.SFE(CosmoParams_III, AstroParams_III, HMFinterp_III.Mhtab, z_III, pop=3, J21LW_interp=False, vCB=False)\n", "UVLF_pop3_noLW = zeus21.LFs.LF_class(UserParams_III, CosmoParams_III, AstroParams_III, HMFinterp_III, LFParams_III, J21LW_interp=False).UVLF_pop3\n", "\n", "# Case including feedback from streaming velocities - here we need to redefine the cosmology to include streaming velocities from the start - TODO: discuss possible source of confusion and mistakes, because USE_RELATIVE_VELOCITIES=False by default, but most of the Pop III methods are designed to include streaming velocities by default instead, which may be confusing because the user may expect them to be active, while in reality vcb_avg=0 and the feedback is not taken into account by default; in general, there's a bit of confusion between the defaults, also with the SFRDs (see e.g. previous code block)\n", "CosmoParams_III_vcb = zeus21.Cosmo_Parameters(UserParams=UserParams_III, HMF_CHOICE=\"ST\", USE_RELATIVE_VELOCITIES=True)\n", "HMFinterp_III_vcb = zeus21.HMF_interpolator(UserParams_III, CosmoParams_III_vcb)\n", "AstroParams_III_vcb = zeus21.Astro_Parameters(CosmoParams=CosmoParams_III_vcb, accretion_model=\"exp\", USE_POPIII=True)\n", "SFRD_vcb = zeus21.sfrd.SFRD_class(UserParams_III, CosmoParams_III_vcb, AstroParams_III_vcb, HMFinterp_III_vcb)\n", "SFE_pop3_vcb = SFRD_vcb.SFE(CosmoParams_III_vcb, AstroParams_III_vcb, HMFinterp_III_vcb.Mhtab, z_III, pop=3, J21LW_interp=SFRD.J21LW_interp_conv_avg, vCB=CosmoParams_III_vcb.vcb_avg)\n", "UVLF_pop3_vcb = zeus21.LFs.LF_class(UserParams_III, CosmoParams_III_vcb, AstroParams_III_vcb, HMFinterp_III_vcb, LFParams_III).UVLF_pop3\n", "\n", "plt.figure()\n", "plt.loglog(HMFinterp_III.Mhtab, SFE_pop3, 'r-', label=\"Pop III default\")\n", "plt.loglog(HMFinterp_III.Mhtab, SFE_pop3_noLW, 'b-.', label=\"Pop III w/o LW feedback\")\n", "plt.loglog(HMFinterp_III.Mhtab, SFE_pop3_vcb, 'k:', label=\"Pop III + vCB feedback\")\n", "plt.xlim(1e5, 1e10)\n", "plt.ylim(1e-5, 1e-3)\n", "plt.xlabel(r\"$M_{\\rm h} \\; [\\mathrm{M_\\odot}]$\")\n", "plt.ylabel(r\"$\\dot{M}_\\star / \\dot{M}_\\mathrm{h}$\")\n", "plt.legend()\n", "\n", "plt.figure()\n", "plt.semilogy(MUV_centers_III, UVLF_pop3, 'r-', label=\"Pop III default\")\n", "plt.semilogy(MUV_centers_III, UVLF_pop3_noLW, 'b-.', label=\"Pop III w/o LW feedback\")\n", "plt.semilogy(MUV_centers_III, UVLF_pop3_vcb, 'k:', label=\"Pop III + vCB feedback\")\n", "plt.xlim(-14, -6)\n", "plt.ylim(1e-6, 1e2)\n", "plt.xlabel(r'$M_{\\rm UV}$')\n", "plt.ylabel(r'$\\Phi_{\\rm UV}\\,\\rm [Mpc^{-3}\\,mag^{-1}]$')\n", "plt.legend()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Finally, let's see what happens if we extend Pop III formation beyond minihalos and into the atomic-cooling halo regime, as in https://arxiv.org/abs/2505.20263." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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NmuV4b/z48XTp0oXS0lIAysvLSUlJ4e9//zsAiYmJAHTr1g2LxcIFF1xQrePu3r0bi8XCJ598wsCBAwkJCSE5OZkff/yxUra5c+eSkJBASEgII0eO5OjRo1Xyf/bZZ6SkpBAUFESbNm149NFHqaiocLy/fft2+vfvT1BQEElJSSxevNj5L5qI1CuGYWArtzlelx0pY8fdO/j1pl8r7bdz8i+kX5DOkUeWwgsvQGoqvrfdyPE1xylML8DWKAw6doTBgwlf8wbRfEfwhs9g2TLYsYOA0oP04Hr6Nr0JS/duMHw43HYbzZ8eyFn/6Unkd8/Dzp1w4gSW3CME/7oM38WfwxtvwOOPwy23wLBh0KMHtGgBvr54M7VQmcBaZB/M7hPig+V//bq2MhtGuYHFz4JPoE/VfYN9HHc72MptGGUG+IJvkO8Z9/Xxd75uDg4Opry8HIB7772Xjz/+mLfeeotWrVoxffp0Bg8ezI4dO4iM/K3x9Z577uHFF1+kefPm/POf/2TYsGFs27YNf39/p/OcyquvvsrDDz/MzJkz6datGxs3buTGG2+kUaNGjB07lpdeeonk5GTuv/9+ZsyYwYMPPkhOTo6jOFqzZg3nnnsu33zzDZ06dSIgIKBaxz1p6tSpPPvss7Rv356pU6dyzTXXsGPHDvz8/Fi9ejXjx4/nqaee4vLLL2fhwoU8/PDDlfIvWrSI6667jpdeeol+/fqxc+dObrrpJgAefvhhbDYbl19+OdHR0axatYqCggK3dX+KiGezldso2lREWXYZUZdGObbvuHsHB2YfoPWjrUm4NRp274aNmex7rhFg0P7IA/js2QmZmQQfG04wF+Hz9ifw9gIA/LHQid0EcsQ+dik0FFq1omWrclq2OgQJl0L8RIiPxxIXR2jLlhAYaMrXwOMYUmv5+fkGYOTn51d578SJE0ZGRoZx4sSJKu8tZamxlKVG6eFSx7bdT+w2lrLU+OWGXyrt+13Id8ZSlhrFmcWObVkzsoylLDW2XLul0r7fR39vLGWpUbi50LFt/5z9Nb6usWPHGsOHD3e8Xr16tREVFWVcddVVRmFhoeHv72/85z//cbxfVlZmxMbGGtOnT7df39KlBmC8//77jn2OHj1qBAcHG/PmzTvteVu1amXMmDGj2q//KD4+3nj33XcrbXv88ceN3r17O16vXLnS8Pf3Nx588EHDz8/P+O677xzvZWZmGoCxcePGGh335Oe99tprjve3bNliAMbWrVsNwzCMa665xrjkkksqHWPUqFFGeHi443W/fv2Mp556qtI+77zzjtGiRQvDMAxj0aJFhq+vr7F3717H+1999ZUBGPPnzz/l1+TPvg9FxDscXXjU2H7nduPIf484tpUeLLX/LrEsNazf/WAY77xjGI88Yuzs/IKxlKXGtuB7DQMMAwwbGDu42djLFUYFAY7tBhhG06aGce65hnHllYZx992G8dJLhvHf/xpGerph5OYahs1m4pW7z5/9/q4ttVDJKX3++eeEhoZSUVFBeXk5w4cP51//+hc7d+6kvLycvn37Ovb19/fn3HPPZevWrZWO0bt3b8fzyMhIzj777Cr7uMqRI0fYu3cvEyZM4MYbb3Rsr6ioIDw8vFKmu+++m8cff5z77ruP/v37u+S4AF26dHE8b9GiBQCHDx+mQ4cObN26lZEjR1bav3fv3ixcuNDxev369axdu5Ynn3zSsc1qtVJSUkJxcTFbt24lISGBuLi4SscQEe9kLbFiK7Hh38Teal9xvIItV26hJLOEnpt72nsXDIO8T/eyb1YeRvpmoleugp078d++g0DL/QQYR6kYMJUAjgHQkmiaE0jQicP2k4SFYUlMpG3iIUhMhNbP2D8mJkLr1o7B3eI8FVTAyJEjWbZsGRdddBEfffSR28/Xr7AfYO/yOyn+nnjiJsdh8at8a2ffw/bCxSf4t31bTmpJ7I2x8Ifu5vN2n1dl3+bjmtcq48CBA5k9ezb+/v7ExsY6uumys7MBHF2VJxmGUWXbqVRnn9qw2ezjBV599VV69epV6T3f3/XL22w2fvjhB3x9fdm+fbvLjgtU6sp0dOX+7/ONasxOYrPZePTRR7n88survBcUFHTKY7jr6ykirmEYBmUHyij+tZgmA5pg8bX/n939xG52P7Sblv9oSfsX20NuLr6//kr+0hPYynwoGX4TIdnrYft2Ioo6YHAuEUs3wtJVAFiA3lxtP0lcHLRNhnbtCGzbFtq2hTZt7I+IiCpTBoh7qKACbr/9dsaPH++YKsDdfBtVHXjnE+ADAdXc198HTjEM6bT71kKjRo1o165dle3t2rUjICCA77//nmuvvRawD+5et25dlfE8q1atIiEhAYC8vDy2bdtGhw4dapXnTGJiYmjZsiW7du1yDDI/lWeeeYatW7fy3XffMXjwYN58802uv/56AMeYqd9P2Frd455JUlISq1atqrTtj6+7d+/Or7/+esqv+8ljZGVlceDAAWJjYwGqDHwXEfOU7C2hYGUBfpF+RF78v/GkNljVdhVGqUGvX1IINvbDL78QsCEXjDaU/vtr+E9vOHoUC9CB/gSQT+BXvwD2G2gifdOJTMyH9u2h7W32gqldO/vHxET7xJViOhVU2Ftjli1bZnYMr9CoUSNuueUW7rnnHiIjI0lISGD69OkUFxczYcKESvs+9thjREVFERMTw9SpU4mOjj7l5JOu8sgjj3D77bcTFhbGkCFDKC0tZd26deTl5ZGamkp6ejoPPfQQH330EX379uXFF1/kjjvuYMCAAbRp04ZmzZoRHBzMwoULiYuLIygoiPDw8DMetzpuv/12+vTpw/Tp0xkxYgRff/11pe4+gIceeojLLruM+Ph4rrzySnx8fPj555/ZtGkTTzzxBH/5y184++yzGTNmDM899xwFBQVMnTrVHV9KETmDIx8fofDnQlr+oyUB0fY/xo5+epTtt20n6pIwIsN3wC+/YNm6lZDA7thsBuWdziPYmgFAMxoRTQD+uXm/HTQujmZn+UH78+CsMXDWWfZHYiK46WYecSGXjcYyyXfffWdcdtllRosWLU47ODctLc1o3bq1ERgYaHTv3t1Yvnx5lX2WLl1qXHHFFTU6d20HpXu6Pw5K/6MTJ04Y//jHP4zo6GgjMDDQ6Nu3r7FmzRrH+ycHpX/22WdGp06djICAAKNnz55Genr6n57X2UHphmEY//nPf4yuXbsaAQEBRkREhNG/f3/jk08+MU6cOGEkJSUZN910U6X9R44cafTp08eoqKgwDMMwXn31VSM+Pt7w8fExBgwYcMbjGsapB7Pn5eUZgLF06VLHttdff92Ii4szgoODjaFDhxrPPvtspUHphmEYCxcuNPr06WMEBwcbYWFhxrnnnmvMmTPH8f6vv/5qnH/++UZAQIBx1llnGQsXLtSgdBE3KvqlyMh8JNPIei6r0vZVZ60ylrLUODpjuWG88oph3H67cazHWGO9/xxjJxMqDfy2YfntdaNGhpGSYhh//7thPP64YXzwgX0AeGHhaRKIO7hjULrXLz3z1Vdf8cMPP9C9e3euuOKKKktwzJs3j9GjRzNr1iz69u3LK6+8wmuvvUZGRoajOwrscyfNnDmzRmOotPTMqS1btoyBAweSl5dHkyZNzI7ToDXk70ORmjr03iHyV+QTOzGW0C72wdpHFx5l05BNhLSCc/+5DbZsgYwMdv3YmbIif1qygMacYjxmixbQoYN9HqcOHX573rKlxjR5AC09cwpDhgxhyJAhp33/+eefZ8KECdxwww0AvPDCCyxatIjZs2czbdq0Gp2rtLTUMSkk2P9BRETEu5Rml3LwjYNUFFTQ9v/aOrYfeiub3EXHaFS0mdBmP8KmTTRO30NzhtFoz064+WPHvm34xv4kPh46XQKdOkFSkv3RsSP84S5gqf+8vqD6M2VlZaxfv57777+/0vZBgwaxcuXKGh9v2rRpPProo66KJyIibpa/Kp+8b/Jo0r8JTfo3AcB6vILMBzKx+BskBr+LT8Ym2LSJpr8m0oh4Gr+9HPgFsN8r1IFfqhZOnTrZCycXtW6I96vXBVVOTg5Wq5WYmJhK22NiYjh48KDj9eDBg9mwYQNFRUXExcUxf/58evbsWeV4U6ZMqTQIuaCggPj4ePddgJe64IILqjVNgIiIq9jKbRxbeozCnwuJvyveMaXI4bn72f/KYeIuyqVJu6/hp58I/nkzzbmVkPI9GI8u4OTddC34BSIj4Zxz4Jy//O/jOfbiSYWTnEG9LqhOOtOcSYsWLarWcQIDAwkMDCQtLY20tLRKt9eLiEjdsFXYKNpcBAY07tbYvtFqsOmynzHKodnBeQTtWQM//UTE9maUM4Cwb7+Hb5cD9jmcOgS+aG9pOmfUb4XTOefYxz5pjJPUQr0uqKKjo/H19a3UGgX22av/2GpVE5MmTWLSpEmOQW0iIuI+ZUfK8Avzc6xzuv+lfey8axdRKSWcc9FSWL8en40biSq/Ax/KsT33JrAfgGi2E91iFyQnQ/J90LWr/Xn79uBXr38FSh2r199NAQEBpKSksHjx4krLfixevJjhw4fX+rg1aaFS15eYSd9/4u3SB27k2LJ8kv+ZQ0TJj7BhA2FrivDlIXzXr4b10x37dvZ9zD6uKfmC3wqn5GRo1sy0/NJweH1BVVhYyI4dOxyvMzMzSU9Pd0w6mZqayujRo+nRowe9e/dmzpw5ZGVlMXHixFqfszotVCeXISkuLiY4OLjW5xJxRnFxMVB5WRwRT1S8o5hd9+2i4lARXW/fA6tXw5o1+K+6GOhP8VP/JoL/AhCGhfMDrsTStQt0nwgpKdCtG3TuDIGB5l6INFheX1CtW7eOgQMHOl6fHDQ+duxY5s6dy6hRozh69CiPPfYY2dnZdO7cmS+//JJWrVq5NZevry9NmjTh8GH7ApUhISFad03qjGEYFBcXc/jwYZo0aVJl3UERMxVuKiT3q1waJ/kT0XgbrF6N77KfyfnqBsBG+Q834M9xANqyjbOC/oV/t/aQcht0744lJcXeEqU/FMSDeP3Enmb4fZfftm3bTjsxmGEYHDx4kGPHjtV9SBGgSZMmNG/eXMW8mMawGRSmFxLatRGWnTth5Up2vVhE1sYkmlsW0sH4P8e++xlOqG8mjZMD8el9Lpx7rr31qUMH0B8F4kLumNhTBZUTqvsPYrVaKS8vr8NkIvZuPrVMiZmMnbtYde5OSnP96dHsfkIPrwYgj67s53Ki+Z7mcRnQqxecd5790b07hISYnFzqO82U7qV8fX31i01E6rXibcXsffQXjL3ZdGj7ESxdimXPHhrxNBV05sRhf0IDAqBnTyJ69ybivCTodT3ExZkdXcQlVFDVguahEpGGzLAaFKwpwD+olJBtS+HbbzEW/UJ21mNY8Kf9infxpQz8/Di76xL8/1KIz18egT59QDfpSD2lLj8nuKPJUETEox04wLarV3NgRQRxPh/SzjYLAAPIZALh7cuIGBaLz8UDoW9fCA01N6/IKajLT0RE6oxhGGRNy+LoR/voNGQ1gd9+AKtX04QBHOYuLLYK+912Q4ZgGTiQNv36aVFgabBUUImICADWE1ZObD9B6DmNYN06LAsWkPP8WRwvaUXuxm9ogX1QefS5FUQPz8DnilQ4+xWTU4t4BhVUtaAxVCJS3xT+XMiG3uvxpYQ+ETdi2b8XgDgGYvVpTGS/ILh6Ngwbhk9srMlpRTyPxlA5QWOoRMQblR0qI2dBDv4x/jS9tAn897/YXn6Nld9OwpdiunIHwY0KYcgQGDkS/vpXaNLE7NgiLqMxVCIiUiuGYTgmeD087zA77thBeFweTSfeAocO4QP04CcCByVjuXmWvYgKCjI3tIgXUUElIlKP7Z+9n+w52SQ+mUjUxWHw2WdEf/wuh7iIqH3fYXAIS0wMTJhA0A03QGKi2ZFFvJIKqlrQGCoR8VRlOWUERAc4Xhf9XERheiE5UxcSNeFuOHiQICCFj+Hii+Hmj2DYMK2LJ+IkjaFygsZQiYinsFXY2DRkE3lL8ui1sxfBrYMhO5vjd6Zx/KPNNLUuxZ8CaNYMxo+HG26Atm3Nji1iCo2hEhERACoKKijaVER4X/u8Tz5+Phg2A2xw7LO9BGe9CjNn0rikhMYA/fvDbbfB8OEQEPCnxxaRmlNBJSLiZYoyiljfYz0Wfwt9DvXBN8i+Vmi7R2LwTfqC4H8+DYWF9p1794YnnoALLzQxsUj9p4JKRMTDFW8rpuxwGU3ObwJASIcQ/Jv64xPsQ+meUkJirfDSS4Q++ywcO2b/pO7d7YXUJZfA/+7uExH3UUElIuLBjnx8hC1/20Kjzo3o8XMPLBYLFh8L3Vd3J6BxBZaXZ8PTT0NOjv0TOnWCxx+HESNUSInUIR+zA3ijtLQ0kpKS6Nmzp9lRRKQeMawGuYtyKVhb4NjW5KIm+Ib6EtgqEGvh/+4stloJnP8Glvbt4e677cVU+/bw7rvw00/2yThVTInUKd3l5wTd5ScirpT5UCZ7Ht9D9OXRdP64s2N7xfEK/Br/r0MhI8N+l95q+7p6tGoFDz8Mo0eDnzodRKrDHb+/1UIlImICw2pw9MujlGSVOLY1vbIpfpF+BLUO4vd/6/o19oPycnjqKejWzV5MNW4ML70E27bB9dermBIxmf4HioiY4Jfxv3Do7UPE3xdP26ft80GFnhNKn+w++AT84W/d9HR70ZSebn/917/CK69AXFydZhaR01MLlYiImxk2g9xvcqkorHBsix4ZjV+EH76hvpX2rVRMlZbCAw9Az572YioyEt55Bz7/XMWUiIdRC5WIiJv9/NefyVuUx1mvnkXsDbEARF0WRe/9vfEN9j31J61ebR8rlZFhf/23v8HMmRATU0epRaQm1EIlIuJixduLK42BirgoAt/GvlgLflv/08fP59TFVHGx/c69Pn3sxVRMDHz0EXz4oYopEQ+mFioRERcxDIPNIzdz9L9H6bq8K036NQEg9pZYYm+JxS/0DD9yv/vOvsbejh3212PGwIwZ9q4+EfFoaqGqBc1DJSIn2cptjucWi4WAZgHgAwWrfptLyi/U78+LKZsNHnwQLrjAXkzFxcEXX8Bbb6mYEvESmofKCZqHSqThMqwGu6bu4uCbB0lZn0JQXBAAJVklGFaD4MTg6h2ooMA+h9Snn9pf33gjPPss6GeKiNtoHioREQ9h8bVQsKqA8sPlHHrnkGN7UEJQ9YupnTvtixd/+ikEBtpbpObMUTEl4oU0hkpE5AwMwyDv6zyyX8+m4zsd8Qm0/y2a+EQiFXkVRP01quYH/eYbuOoqyMuD2FiYPx/OPdfFyUWkrqigEhE5A6Pc4JcJv1C2v4yIQRGOqQ+anN+kFgcz4MUX4a677GOnzjsPPvkEWrRwbWgRqVPq8hMR+QNbqY0jC444XvsE+NBqaivi7owj8hInBomXlNjnlrrzTnsxNW4cLF2qYkqkHlALlYjI79jKbKzpsIaS3SV0+74b4X3DAWh5S0vnDpydDSNH2ifs9PGB556DO+4Ai8UFqUXEbGqhEpEGz1ryuwk3A3yI+EsEAS0DKD9a7poTrFkDPXrYi6mICFi0CCZPVjElUo80+ILq888/5+yzz6Z9+/a89tprZscRkTpkK7Ox876d/NjyR0qzSx3b2/xfG87beR7Rw6KdP8k770D//nDgACQl2Yurv/zF+eOKiEdp0AVVRUUFqampLFmyhA0bNvB///d/5Obmmh1LROqIxd9C/op8KnIrOPzeYcd2/0h/x518tWYY9sk6x4yxL3I8bBj8+CO0a+dkahHxRA26oFqzZg2dOnWiZcuWNG7cmL/+9a8sWrTI7Fgi4ibleeVkTc9yzG5usVho+1xbOn/Wmbg741x3IsOA+++HJ56wv37gAfu0CJpfSqTe8uqCavny5QwdOpTY2FgsFgsLFiyoss+sWbNITEwkKCiIlJQUVqxY4XjvwIEDtGz520DTuLg49u/fXxfRRaSOGTaDDedtYNd9uzj09m8TcYb3Dif6smgsrhrPZBhw770wfbr99cyZ8Pjj9oHoIlJvefX/8KKiIpKTk5k5c+Yp3583bx6TJ09m6tSpbNy4kX79+jFkyBCysrIAONWqOy77oSoiprOe+G2wucXHQuzNsTTq3IjAuED3nNAw4O677UvHAKSlwaRJ7jmXiHgUry6ohgwZwhNPPMHll19+yveff/55JkyYwA033EDHjh154YUXiI+PZ/bs2QC0bNmyUovUvn37aPEn88GUlpZSUFBQ6SEinscwDLKmZ/Fj3I8UrP7t/2nLf7Skx089iBzshgWHDQNSU+H55+2vZ8+GW291/XlExCN5dUH1Z8rKyli/fj2DBg2qtH3QoEGsXLkSgHPPPZfNmzezf/9+jh8/zpdffsngwYNPe8xp06YRHh7ueMTHx7v1GkSkdiwWC0UZRVTkVpD9erZju4+/DxYfN7RCG4Z9GoQXXrC/fuUVmDjR9ecREY9VbwuqnJwcrFYrMTExlbbHxMRw8OBBAPz8/HjuuecYOHAg3bp145577iEq6vRrck2ZMoX8/HzHY+/evW69BhGpHsMwOPLJkUrzRiU+lkjHf3fkrNlnufvkcPvt8NJL9tevvgo33eTec4qIx6n3M6X/cUyUYRiVtg0bNoxhw4ZV61iBgYEEBgaSlpZGWloaVqv1zJ8kIm736w2/cvCNg8SlxtHuOfu0BEEJQQT9Pci9J7bZ4Lbb7N17Fgu89pp9aRkRaXDqbQtVdHQ0vr6+jtaokw4fPlyl1aqmJk2aREZGBmvXrnXqOCLiGk2vbIpPiA/+kf51d1KbzT7g/GQx9cYbKqZEGrB6W1AFBASQkpLC4sWLK21fvHgxffr0MSmViDirdH8pv9zwC4fe+23qg8jBkZy35zxaTW1VNyFsNrjlFnj5ZXsxNXeufaFjEWmwvLrLr7CwkB07djheZ2Zmkp6eTmRkJAkJCaSmpjJ69Gh69OhB7969mTNnDllZWUx0crCouvxEzHPw7YMcfP0gx749Zm+Z8vPBYrEQEB1QNwFsNrj5Znv3no8PvPUWXHdd3ZxbRDyWxTjVZExeYtmyZQwcOLDK9rFjxzJ37lzAPrHn9OnTyc7OpnPnzsyYMYP+/fu75PwFBQWEh4eTn59PmGZAFnELw2pQUVCBf4S9O89abGXrmK3E3xVPeO/wOg5j2Aecnyym3n4b/v73us0gIk5zx+9vry6ozPL7Fqpt27apoBJxk+Ppx/l1/K8ExgVyzqfnmB3HvpTMgw/ai6l//xuuucbsRCJSCyqoPIxaqETcq+iXItadsw6fRj703NyToDg337X3Zz74AEaNsj9/+WV7t5+IeCV3/P6ut4PSRcT7WIutHFtxzPG6UYdGdHyvI7229zK3mFq9GsaOtT+/804VUyJShQqqWkhLSyMpKYmePXuaHUWk3ijJKmFNxzX8PORnSveXOrY3+1szAprW0YDzU9mzB4YNg5ISGDoUnnnGvCwi4rFUUNWC5qEScb3A+EACWwbiH+VPSVaJ2XHsCgrgssvg8GFIToZ33wVfX7NTiYgH8uppE0TEe5XnlrN/5n4S/pngmPog6f0k/KP98Q3xgKKlosI+6HzzZmjeHD77DEJDzU4lIh5KBZWI1DnDarCh9wZObDuBf1N/Wt7SErAvF+Mx7roLvvwSgoPh009Bi6GLyJ9Ql18taAyViHMsvhbiJscRkhRCo3MamR2nqlmzflvs+O23Qf/XReQMNG2CEzRtgkj1WEusZE3LInpkNI27NgbAsBkYFQY+AR72d92iRXDppWC1wlNPwZQpZicSERfTtAki4pV23beLPY/tYdvEbRg2+99wFh+L5xVTW7bAVVfZi6mxY+H++81OJCJewsN+molIfZRwXwIhHUKIvzseLGanOY3Dh+139BUUQL9+8Mor9oWPRUSqQYPSRcSlDKvBgVcOUJ5bTusHWgMQGBtIzy09sfh4aIFSUgIjRsDu3dC2LXzyCQQGmp1KRLyICqpa+P1afiJS2bHlx9g+aTsWPwtN/9aURh3sg849tpgyDJgwAX78EZo0gS++gOhos1OJiJfRoHQnaFC6yKn9cv0vNO7RmNiJsVh8PbSQOunFF2HyZPDzg4UL4aKLzE4kIm6mQeki4nGObzjO5r9txnritxbbDm92oOWklp5fTKWnw7332p8//7yKKRGpNRVUIlJrtnIbmy/fTM7HOWRNyzI7Ts0UFcHVV0NZmX2tvttuMzuRiHgxFVQiUms+/j60n9meplc2peU/Wpodp2YmT4Zff4XYWHj9dd3RJyJOUUFVC5opXRoq6wkrO+/dSd7SPMe26Mui6fRBJwKaBpiYrIY+/BBee81eRP373xqELiJO06B0J2hQujQ0mQ9lsufxPQS1CeLcjHPxCfTCv8n27IHkZMjPh3/+E5580uxEIlLHNChdREwVf3c8Yb3DaPdiO+8spioq4Npr7cVUr17wyCNmJxKRekLzUInIaRWsLiDvmzxaTW0FgF+YH91+6IbFW8cbPfYYrFwJYWHw3nvg7292IhGpJ1RQicgplewpYWO/jRjlBqHdQ4kaEgXgvcXUd9/91r338suQmGhuHhGpV2pVUH366ac1/pyLL76Y4ODg2pxOREwQ1CqIlpNaUnaojLDzvHyMYG4uXHcd2Gwwbhxcc43ZiUSknqnVoHQfn5qNnbBYLGzfvp02bdrU9FQeTYPSpT4xDIND7xwiamgU/hH2rjDDanj+5JxnYhhwxRUwfz60bw8bNkBoqNmpRMREHjUo/eDBg9hstmo9QkJCXBJWRNxnx507+GXsL2y/dbtjm9cXUwCvvGIvpvz94f33VUyJiFvUqqAaO3ZsjbrvrrvuunrVgqN5qKQ+irk2Bp8QH0K7h1JvZlPZsgXuvNP+/OmnoXt3c/OISL2leaicoC4/8WbWIivFvxbTuHtjx7aynDICor1ogs4/c+IEnHsubN4Ml1wCX3wBNRyuICL1k0d1+YmI9zqReYJ13dbx8+CfKT1Y6theb4opgHvusRdTMTEwd66KKRFxK5f9hFm/fr2rDiUibhYYG4hPiA+WQAul+0rP/Ane5rPPIC3N/vytt+xFlYiIG7lsHqqRI0eSleVlq82LNCAVhRX4hdr/y/sE+tD5k874NfHDP7KeTW5ZUAC33GJ/npoKgwebm0dEGoQaFVRXXXXVKbcbhkFubq5LAomI6+WvzCfj6gwSH0+k+djmAAS3qafzwk2dCvv3Q7t28MQTZqcRkQaiRgXVN998wzvvvEPoH247NgyD5cuXuzSYiLhO3rd5lO4tZd8L+4gZHYPFpx5Mh3Aqq1b91tX38sugyYRFpI7UqKC64IILCA0NZcCAAVXe69atm8tCiYhrtfpnKyz+FlpOall/i6nycrjpJvtEnmPGwEUXmZ1IRBqQGg1K/+STT05ZTAEsXLjQJYHq2siRI4mIiOBvf/ub2VFEXObYd8f4ZfwvGDb7rCgWXwut7m+FX+N6vHznc8/Bpk0QFWV/LiJSh5y6y+/gwYOuymGa22+/nbffftvsGCIuU55bzqbLNnHwzYNkv5ptdpy6sXMnPPqo/fnzz0N0tLl5RKTBcaqgGjRokKtymGbgwIE0btz4zDuKeAn/SH/azmhL8+ubE3NdA5guwDDsd/WVlNi7+UaPNjuRiDRAThVU7p5kffny5QwdOpTY2FgsFgsLFiyoss+sWbNITEwkKCiIlJQUVqxY4dZMIp7o2PJjlOwpcbxuMaEFHd7ogG8jXxNT1ZH//AcWL4agIPtAdEs9HSMmIh7NqYLK4uYfXEVFRSQnJzNz5sxTvj9v3jwmT57M1KlT2bhxI/369WPIkCGV5sNKSUmhc+fOVR4HDhxwa3aRunLo/UOkX5jO5is2Yy2xAu7/v+kxjh79ba2+Bx+0T5UgImICjx6hOmTIEIYMGXLa959//nkmTJjADTfcAMALL7zAokWLmD17NtOmTQNcO4N7aWkppaW/zSpdUFDgsmOL1FZ473D8mvgRcnYI2MxOU8fuvhtycqBTJ/tzERGTeO3iVmVlZaxfv77KOK5BgwaxcuVKt5xz2rRphIeHOx7x8fFuOY/ImZxsiQIIahVEjw096PjvjviGNIAuvpOWLLGv0WexwKuvQkA9WodQRLyOUwVVgIk/wHJycrBarcT8YY2umJiYGt19OHjwYK688kq+/PJL4uLiWLt27Wn3nTJlCvn5+Y7H3r17a51fpLaOLjzK6rarOb7huGNbUEJQw+nmA/sA9IkT7c8nToTevc3NIyINnlNdfuvWrXNVjlr74y8RwzBq9Itl0aJF1d43MDCQwMBA0tLSSEtLw2q1nvmTRFzswOwDlB0oI+vpLDp90MnsOOZ48knYvh1atID/de+LiJjJa7v8oqOj8fX1rdIadfjw4SqtVq42adIkMjIy/rQ1S8RdOrzVgVYPtKLjOx3NjmKOLVvg6aftz//1LwgPNzePiAguGJSempp6yu0Wi4WgoCDatWvH8OHDiYyMdPZUlQQEBJCSksLixYsZOXKkY/vixYsZPny4S88lYqairUUc++4YLSe2BMC/iT+JjyeanMokNpt9eZmKChg6FC6/3OxEIiKACwqqjRs3smHDBqxWK2effTaGYbB9+3Z8fX3p0KEDs2bN4q677uL7778nKSmpRscuLCxkx44djteZmZmkp6cTGRlJQkICqampjB49mh49etC7d2/mzJlDVlYWE0+OrXATdflJXSnZW8KGczdgLbIS1DqIqEuizI5krldfhZUrITTUvghyQxo3JiIezWI4OTvnCy+8wIoVK3jzzTcJCwsD7NMJTJgwgfPPP58bb7yRa6+9lhMnTtRovBLAsmXLGDhwYJXtY8eOZe7cuYB9Ys/p06eTnZ1N586dmTFjBv3793fmkqqtoKCA8PBw8vPzHdcu4mrbJm2jOKOYpHlJBDRrwHeyZWdDx46Qnw8vvAB33GF2IhHxUu74/e10QdWyZUsWL15cpfVpy5YtDBo0iP3797NhwwYGDRpETk6OU2E9xe9bqLZt26aCSlzKesKKxdeCT4B9iKOtzAY+4OPntUMeXePqq2HePOjRA1atAt8GNEWEiLiUOwoqp39C5+fnc/jw4Srbjxw54pj4skmTJpSVlTl7Ko+hQeniLqXZpaQPSGfbxG2OpZ18AnxUTK1caS+mLBaYM0fFlIh4HKd/Sg8fPpzx48czf/589u3bx/79+5k/fz4TJkxgxIgRAKxZs4azzjrL2VOJ1HtFm4s4vv44Of/NoXRv6Zk/oSEwDLjrLvvz8eOhWzdz84iInILTXX6FhYXceeedvP3221RUVADg5+fH2LFjef755wkNDSU9PR2Arl27OpvXo2gMlbjDwX8fJOy8MELahZgdxTN88AGMGgUhIbBjh33uKRERJ3jkGKqTCgsL2bVrF4Zh0LZtW0JDQ11xWI+kMVTiKoZhcOCVAzS7shn+Uf5mx/E8paX2geiZmfDII/Dww2YnEpF6wKMLqoyMDLKysqqMlRo2bJgrDu+R1EIlzto1dRdZT2URPiCc5G+SNVbqj557zr7ocYsW9pnRGzUyO5GI1APu+P3t9DxUu3btYuTIkWzatAmLxeIYSHty+RfN1SRyes2uacaB2Qdo+remKqb+6OhReOIJ+/MnnlAxJSIezemf4HfccQeJiYkcOnSIkJAQNm/ezPLly+nRowfLli1zQUTPk5aWRlJSEj179jQ7inghW7nN8Ty0cyi9dvYi7rY4ExN5qMcfh2PHoEsXGDvW7DQiIn/K6S6/6OholixZQpcuXQgPD2fNmjWcffbZLFmyhLvuuouNGze6KqvHUZef1FTuN7lsu3EbXRZ1IeQsDTo/re3bISnJvsTM11/DxRebnUhE6hGPnIfKarU6BqBHR0dz4MABAFq1asWvv/7q7OFF6g3DMNj98G5Kdpew56k9ZsfxbFOm2IupIUNUTImIV3B6DFXnzp35+eefadOmDb169WL69OkEBAQwZ84c2rRp44qMIvWCxWKh8/zOZE3Pos2T+r9xWt9/Dx9/DD4+MH262WlERKrF6YLqgQceoKioCIAnnniCyy67jH79+hEVFcW8efOcDijizQybwfENxwnrYW9SDmgWQLtn25mcyoP9fhLPCROgc2dz84iIVJPLpk34vdzcXCIiIhx3+tU3modKqsNWZmPrmK3kfJJDl6+6EHFRhNmRPN/778M119jv6NuxA5o3NzuRiNRDHjmG6lQiIyPrbTEFWstPqsfiZ4H//blSnlNubhhvUFIC999vf37ffSqmRMSrON3lB1BSUsLPP//M4cOHsdlsld6rzxN7ivwZi4+Fjm93pDC9kLBeasE8o5kzYc8eiI39rdtPRMRLOF1QLVy4kDFjxpCTk1PlPYvFook9pUEp+qWI3C9ziU+NB8An0EfFVHXk5Pw2ieeTT9rX7RMR8SJOd/nddtttXHnllWRnZ2Oz2So9VExJQ1KWU8bG8zey866dHHz7oNlxvMvjj0N+PnTtCqNHm51GRKTGnC6oDh8+TGpqKjExMa7I4xU0U7qcSkB0AHG3x9H43MZEDok0O4732LYNZs2yP3/2WfD1NTePiEgtOH2X3/jx4+nbty8TJkxwVSavoZnSBewTdp68CcMwDGylNnyDVBRU2+WXw/z5cOml8PnnZqcRkQbAHb+/nS6oiouLufLKK2natCnnnHMO/v7+ld6//fbbnQroyVRQyd7n91KwpoCk/yRh8a2/d7a6zYoV0L+/fRLPTZvsy82IiLiZO35/Oz0o/d1332XRokUEBwezbNmyStMlWCyWel1QScN2YtcJdt2/C6Pc4MjfjtDsb83MjuRdfj+J5403qpgSEa/mdAtV8+bNuf3227n//vvx8XHLtFYeSy1UcmT+EYozimk1tZXZUbzPf/8LI0ZAaKh9Es8GNA5TRMzlkS1UZWVljBo1qsEVU9IwGYaB9bgVvzD7f52mI5vCSJNDeSPDgEcftT+//XYVUyLi9ZyugsaOHas1+6RBMKwG227aRvrAdMqPaeZzp3z2GWzcaG+dSk01O42IiNOcbqGyWq1Mnz6dRYsW0aVLlyqD0p9//nlnTyHiEUoPlJLz3xzKj5aT/30+0ZdFmx3JO/2+deq22yAqytw8IiIu4HRBtWnTJrp16wbA5s2bK71Xn9fzk4YnKD6I5MXJFG8vVjHljC++gA0b7Asga4kZEaknnC6oli5d6oocXiUtLY20tDTNBN8AWE9YKd1fSkg7+1IoocmhhCaHmpzKi/2+dWrSJIhWYSoi9YPTd/k1ZLrLr36rOF7B5mGbKdpaRLcV3Qhpr/XlnPbll/YJPENCYPduaNrU7EQi0gC54/e3bs0TOQ2j3KA8txxbsY3ywxqE7jTDgEcesT+fNEnFlIjUK053+YnUV/6R/iQvTqZ0bymNUxqbHcf7LVwIa9faW6fuvtvsNCIiLlXjFqq8vDxyc3MBOHLkCB9//HGVwegi3qr8WDnHvj/meB3QLEDFlCv8fuzULbdAM80qLyL1S40Kqtdee40ePXqQkpLC7NmzGTlyJN9++y1XX301c+bMcVdGkTpRcbyCTUM28dNffuLoV0fNjlO/fP01rF4NwcFwzz1mpxERcbkadfn961//YsuWLRQXF5OQkEBmZiZNmzaloKCA/v37c9NNN7krp4jb+QT4ENA8AN9GvgS2DDQ7Tv3xx9YpzYouIvVQjVqofH19CQoKIjIyknbt2tH0f4NKw8LCvHLOqb1793LBBReQlJREly5d+PDDD82OJCbyCfQh6YMkuv/YndAumhrBZRYvhh9/hKAgtU6JSL1Vo4LKz8+PkpISAL777jvH9uPHj7s2VR3x8/PjhRdeICMjg2+++YY777yToqIis2NJHbKV2jiy4IjjtY+/DyFnaXoEl/l969TEidC8ubl5RETcpEYF1ZIlSwgMtHeFhIeHO7afOHGC119/3bXJ6kCLFi3o2rUrAM2aNSMyMtIx4F7qP1uFjS2jtrBl5Bb2vrDX7Dj107ffwsqV9tape+81O42IiNvUqKAKDQ2t1LV38OBBwF6MdO/e3bXJgOXLlzN06FBiY2OxWCwsWLCgyj6zZs0iMTGRoKAgUlJSWLFiRa3OtW7dOmw2G/Hx8U6mFm9h8bUQek4olkD7R3Gx37dO3XQTtGhhbh4RETdyamLPQYMGuSrHKRUVFZGcnMzMmTNP+f68efOYPHkyU6dOZePGjfTr148hQ4aQlZXl2CclJYXOnTtXeRw4cMCxz9GjRxkzZozuVGxgLBYLiY8ncu6Wc4m4KMLsOPXP0qXw/fcQGAj33Wd2GhERt3Jq6ZlzzjmHTZs2uTLPaVksFubPn8+IESMc23r16kX37t2ZPXu2Y1vHjh0ZMWIE06ZNq9ZxS0tLufjii7nxxhsZPXp0jTJp6RnvY9gMDr1ziJjrYrD4et+NFF7DMGDAAFixAv7xD3jpJbMTiYg4eNzSM2be2VdWVsb69eurtJINGjSIlStXVusYhmEwbtw4LrzwwmoVU6WlpRQUFFR6iHfZfvt2fhn3C7/e8KvZUeq3ZcvsxVRAgFqnRKRB8Nq1/HJycrBarcT8YU6bmJgYx9iuM/nhhx+YN28eCxYsoGvXrnTt2vVPW9ymTZtGeHi446HxVt6nSf8mWAIsRPxFXXxudXLs1I03QsuW5mYREakDXr+W3x9byQzDqHbL2fnnn4/NZqv2uaZMmUJqaqrjdUFBgYoqL9PsqmaE9QkjKC7I7Cj113ff2R8BAXD//WanERGpE061UAUEBLgqR41FR0fj6+tbpTXq8OHDVVqtXCUwMJCwsDDeeecdzjvvPC666CK3nEdcK+fzHCoKKxyvVUy52cnWqRtugLg4c7OIiNQRpwqqdevWuSpHjQUEBJCSksLixYsrbV+8eDF9+vRx67knTZpERkYGa9eudet5xHlH5h9h87DN/DTwJyqOV5z5E8Q5339vv7vP31+tUyLSoHh0l19hYSE7duxwvM7MzCQ9PZ3IyEgSEhJITU1l9OjR9OjRg969ezNnzhyysrKYOHGiW3OlpaWRlpaG1Wp163nEeYEtA/GP8ie0eyi+ob5mx6n/nnnG/vH660Hd4SLSgDg1bQLYB2rHxMQwfvz4StvfeOMNjhw5wn1O3OGzbNkyBg4cWGX72LFjmTt3LmCf2HP69OlkZ2fTuXNnZsyYQf/+/Wt9zprQtAneoWRPCQEtA/Dx89p7MLzDtm3QoYN9yoRffoGzzzY7kYjIKbnj97fTBVXr1q159913q3SzrV69mquvvprMzEynAnoyFVSeqWRvCRgQlKCxUnXq1lth9mwYOhQ+/dTsNCIip+Vx81CBffmZFqdYUqJp06ZkZ2c7e3iPlJaWRlJSEj179jQ7ivxBeW45P1/yMxt6b6Boixa6rjNHj8L/Wo256y5To4iImMHpgio+Pp4ffvihyvYffviB2NhYZw/vkTQo3XPZTtjgf7Nm+DbWmKk6M3s2nDgB3btDHXW5i4h4EqcHpd9www1MnjyZ8vJyLrzwQgC+/fZb7r33Xu7SX6pSxwJbBtJtRTfKDpWpy6+ulJTAyfU277oLTFxBQUTELE4XVPfeey+5ubnceuutlJWVARAUFMR9993HlClTnA7oiXSXn2cxDIOSXSUEtw0GwD/CH/8If5NTNSDvvQeHDtnnnLrySrPTiIiYwulB6ScVFhaydetWgoODad++PYGBga44rEfToHTPsPvx3WRNyyJpXhLRQ6PNjtOwGAZ06QKbN9unTLj7brMTiYickTt+f7tsHqrQ0FB69OgBmLtosjQshtWgYHUBthM2SrNKzY7T8Hz9tb2YCg21z4wuItJAuWRintdff53OnTsTFBREUFAQnTt35rXXXnPFoT2S7vLzHBZfC53nd6bTJ51oOUmL8Na555+3f7zhBmjSxNQoIiJmcrrL78EHH2TGjBn84x//oHfv3gD8+OOPzJw5kzvuuIMnnnjCJUE9kbr8zGMttuIborv4TLVpk727z8cHdu6E1q3NTiQiUi0eObFndHQ0//rXv7jmmmsqbX/vvff4xz/+QU5OjlMBPZkKKnOUHS5jw3kbiJ0YS/w98epiNsv119vnnrrySvjgA7PTiIhUm0dO7Gm1Wh1jp34vJSWFigotRiuud/i9w5RklpD9ajbWQt1paYrsbPjPf+zPNT2KiIjzBdV1113H7Nmzq2yfM2cOf//73509vEgVcXfE0X52ezp/2hm/xh69vnf9lZYG5eXQty/06mV2GhER07nkt9Hrr7/O119/zXnnnQfAqlWr2Lt3L2PGjCE1NdWx3/MnB7B6Oc1DZb6WEzUA3TRFRfaZ0UGtUyIi/+P0GKqBAwdW70QWC0uWLHHmVB5HY6jqTu7XuRz55AjtX2qPT4BLbk6V2po1CyZNgrZt4ddfwVc3B4iId/HIeaiWLl3qihwip1VRUEHGtRlUHK0gODGYhPsSzI7UcFmtMGOG/fnkySqmRET+R3/qi8fzC/Oj4zsdiRwSSdzkOLPjNGyffw47dkBEhP0uPxERAZxooRo/fny19nvjjTdqewoRh6ghUUQNiTI7hjz3nP3jxInQqJG5WUREPEitC6q5c+fSqlUrunXrhouWAxSp5MCrB2h6RVP8I7XQsUdYuxZWrAB/f7jtNrPTiIh4lFoXVBMnTuT9999n165djB8/nuuuu47IyEhXZvNYusvP/bLnZrPtpm3sfWYvPTb2wLeRxuqY7uRdutdcA7Gx5mYREfEwTt3lV1payieffMIbb7zBypUrufTSS5kwYQKDBg1qELNX6y4/9yn8uZBNwzbRfFxzEh9JNDuOZGVBmzb2Qenp6ZCcbHYiEZFa88ilZ07as2cPc+fO5e2336a8vJyMjAxCQ0NdcWiPpYLKvcrzyvEL98PiU/+Lc4931132FqqLLoJvvjE7jYiIUzxy6ZmTLBYLFosFwzCw2WyuOqw0INYTVkr2ljhe+0f4q5jyBPn58Oqr9ueayFNE5JScKqhKS0t57733uPjiizn77LPZtGkTM2fOJCsrq963Tonrbf/HdtZ1XUfuolyzo8jvvf46HD8OSUlwySVmpxER8Ui1HpR+66238v7775OQkMD111/P+++/T1SUbmuX2rEWWSn6qYiKvAosfmqV8hg2m31mdLBP5NkAxkaKiNRGrcdQ+fj4kJCQQLdu3f50APonn3xS63CeTmOoXMtWaiNvaR5Rl6gw9xhffw2DB0N4OOzfr7mnRKRe8KilZ8aMGdMg7uSTuuMT6KNiytO8/LL945gxKqZERP6Ey+7ya0h+Pw/Vtm3b1ELlhG23bqNxSmOaj2+uAt3T7N8PrVrZp0rYssU+hkpEpB7wmLv8fv755xrdybdlyxYqKipqcyqPNGnSJDIyMli7dq3ZUbza0YVHOTD7AL/e9CvFW4vNjiN/9Npr9mKqf38VUyIiZ1Crgqpbt24cPXq02vv37t2brKys2pxK6rHIQZEkTksk8clEGiWpO8mjVFT8NlXCxInmZhER8QK1GkNlGAYPPvggISEh1dq/rKysNqeRes7iY6HV/a3MjiGn8sUX9i6/pk3h8svNTiMi4vFqVVD179+fX3/9tdr79+7dm+Dg4NqcSuoZwzDImZ9D9PBoLL4aM+WxZs+2fxw/HgIDzc0iIuIFalVQLVu2zMUxpKHIfs2+6HHkkEjO+fwczYTuiXbtgkWL7HNO3XST2WlERLyCy5aeEakOn2AffIJ9aDKgiYopT/XKK/aPgwfbF0QWEZEzqvU8VCK10fy65oT3CSeodZDZUeRUSkvhjTfszzUYXUSk2lzaQjVnzpwa3f1ntuPHj9OzZ0+6du3KOeecw6sn72oSlzIMA1vZb9NsBLcJVuuUp/rkE8jJgbg4uPRSs9OIiHgNlxZU6enpJCcnM3jwYN544w3y8vJceXiXCwkJ4bvvviM9PZ3Vq1czbdo0ryoIvcWBVw6wodcGindorimPd3Iw+o03gp8asEVEqsulBdWsWbPIysri/vvvZ+3atZxzzjlceumlvPXWW+Tn57vyVC7h6+vrmPqhpKQEq9WKJo53LWuRlT2P7aEwvZCjn6lY9WhbtsCKFeDrCxMmmJ1GRMSruHxQuo+PDwMHDmT27NlkZWVx55138vzzzxMTE1PjYy1fvpyhQ4cSGxuLxWJhwYIFVfaZNWsWiYmJBAUFkZKSwooVK2p0jmPHjpGcnExcXBz33nsv0dHRNc4pp+fbyJeUtSm0frQ1cZPjzI4jf+bkYPRhw6BlS3OziIh4Gbfd5bdixQomT57M+PHjad68ObNmzarxMYqKikhOTmbmzJmnfH/evHlMnjyZqVOnsnHjRvr168eQIUMqzcqekpJC586dqzwOHDgAQJMmTfjpp5/IzMzk3Xff5dChQ7W7YDmtwJaBtH6otdbq82RFRfDWW/bnt9xibhYRES/k0sWRv//+e+bNm8eCBQs4++yzueqqq7jiiiuIiopy+tgWi4X58+czYsQIx7ZevXrRvXt3Zp8c9wF07NiRESNGMG3atBqf45ZbbuHCCy/kyiuvPOX7paWllJaWOl4XFBQQHx+vxZFPoWBNARY/C427NzY7ilTH66/DDTdA27awbRv4aEYVEam/PGZx5NN54IEHSEpKYv369XzzzTfcdNNNLimmTqWsrIz169czaNCgStsHDRrEypUrq3WMQ4cOUVBQANi/uMuXL+fss88+7f7Tpk0jPDzc8YiPj6/9BdRjFYUVZFyTwYZeG8j5LMfsOFIdL79s/3jzzSqmRERqwaW38dxzzz1YLBbWrVsH2FuVoqOj6dSpU7XX/auunJwcrFZrlbFZMTExHDx4sFrH2LdvHxMmTMAwDAzD4LbbbqNLly6n3X/KlCmkpqY6Xp9soZLKjHKD0G6hGBUGTfo3MTuOnMm6dfZHQABcf73ZaUREvJJLC6qPPvqoyrbc3Fw2b97MnDlzuOiii1x5OoAq43IMw6j2WJ2UlBTS09Orfa7AwEACAwNJS0sjLS0Nq9Vak6gNhn+EP50+7ET54XL8wnXrvcc72Tp15ZWgmzJERGrFpb/t3nzzzVNu37dvH5dffjlr1qxx2bmio6Px9fWt0hp1+PDhWt1RWBOTJk1i0qRJjj5Ysft9MWuxWAiICTA5kZzRsWPw7rv255oZXUSk1upksERcXBzl5eUuPWZAQAApKSksXry40vbFixfTp08fl57rj9LS0khKSqJnz55uPY+32XrdVnbetxNriVruvMY778CJE9C5M/Tta3YaERGvVSf9MT/++GOtRtEXFhayY8cOx+vMzEzS09OJjIwkISGB1NRURo8eTY8ePejduzdz5swhKyuLiW7+S1stVFUVrC7g8LuHwReajWqmu/u8gWH81t03cSJoWgsRkVpzaUHVs2fPKuOXcnNziYiI4K2Tc9zUwLp16xg4cKDj9ckB4WPHjmXu3LmMGjWKo0eP8thjj5GdnU3nzp358ssvadWqlXMXIjUW1iuMzv/tzImdJ1RMeYsVKyAjA0JC4LrrzE4jIuLVXDoP1Z49eyof3GIhKiqKRo0aueoUHuH3g9K3bdumeajEO117Lbz3nn3dvjlzzE4jIlJn3DEPlcsKqmPHjmEYBhEREa44nFdwxz+Itzm24hiNuzfGt5Gv2VGkJg4fhrg4KC+3T5mQkmJ2IhGROuORE3v++OOPdOvWjaioKKKjo0lOTq72xJri3U7sOsHPQ35mXdd1lOwrMTuO1MSbb9qLqZ49VUyJiLiAUwXVnj17uPjii/Hz82PatGk8/fTTBAYGcvHFF5OZmemqjB5Hd/nZlR8pxz/Cn4CWAQTGBpodR6rLZvuti0/r9omIuIRTXX4333wzmZmZfPXVV/j62rt8bDYbl156KS1btuS1115zWVBPpC4/KD9Wjq3YpoLKmyxfDgMGQOPGkJ0N9WyMo4jImXhUl19WVhbLli1j1KhR7N+/n6ysLLKysti3bx+jRo1i6dKl7N271yUhxXP5N/FXMeVt5s61f7zqKhVTIiIuUusWKh8fnz9d4uXkrNn1eXmWhthCZVgNMv6eQYvxLYgcFGl2HKmpoiJo3hwKC+3TJpx/vtmJRETqnEe1UG3YsIGEhAReeuklNmzYUOkxc+ZMEhIS2LBhg0tCepqGPIYq+41sjsw7wpartlB+zLWz30sd+OQTezHVtq1mRhcRcSGnxlCNGTOGEydO8OGHH1bafvXVVxMQEMDbb7/tdEBP1hBbqCqOV5D5YCaNOjYi9uZYs+NITV10ESxZAo89Bg8+aHYaERFTeNw8VFu2bKFbt24MGTKE6667DovFwn/+8x+++OILNm7cSKdOnVwS0lM1xIJKvNiePdC6tf357t2gFQVEpIFyx+9vp5ae6dSpE++//z4TJ07ks88+AyAqKor//Oc/9b6YamjKj5Xj38Tf7BjijHfesX8cOFDFlIiIizm9lt/ll1/O0KFD2bRpE4Zh0KVLF/z96/cv3t8vPdMQWIusrO+2nvDzw2n3Ujv8I+r3v2+9ZBhwcj3NceNMjSIiUh+5dC2/hqahdPnl/DeHzSM3ExgfyLkZ52qZGW/0ww/2O/pCQ+HgQU2XICINmsd1+UnDED08mu6rumM7YVMx5a1Ozj31t7+pmBIRcQMVVFItYefW3xa4eq+4GObNsz9Xd5+IiFs4vTiy1F95S/IoyykzO4Y4a8ECOH4cEhOhXz+z04iI1EsqqOSUSrNL2TxyM2s6rKFoa5HZccQZJ7v7xowBH/2XFxFxB/10rYWGMFN6RV4FQa2DCG4TTMhZIWbHkdrauxe++cb+fMwYc7OIiNRjusvPCfX9Lj9buY3yI+Va/NibTZsG//wnDBgAy5aZnUZExCN41Fp+Uv/5+PuomPJmhvFbd9/YsaZGERGp71RQSSVZ/5fFwbcPoobLemDVKti2DUJC7NMliIiI22jaBHEoyigi84FMjAqDoMQgmvRrYnYkccbJmdH/9jdo3NjcLCIi9ZwKKnEIbh9M68dbU7S5SMWUtztxAt5/3/5c3X0iIm6ngkocfPx9aHV/K3X31Qf//S/k50NCAlxwgdlpRETqPY2hEmzltkpFlMViMTGNuMTJ7r6xYzX3lIhIHdBP2lqob/NQ7Uzdyc+X/KwJPOuLAwfg66/tzzX3lIhInVBBVQuTJk0iIyODtWvXmh3FaeW55WS/kU3e13mUZWuZmXrh3/8Gmw3OPx/atTM7jYhIg6AxVA2cf6Q/PX/uyZGPjxBxYYTZccRZmntKRMQUaqESgtsGk3BvgtkxxBXWroWtWyE4GK680uw0IiINhgqqBspWYaNkX4nZMcTVTg5Gv/xyCA83N4uISAOigqqByn4tmzVnrWHvc3vNjiKuUlIC771nf67uPhGROqWCqoHK+yYP2wkblkBNkVBvfPYZ5OVBXBxceKHZaUREGhQNSm+gOn3YiaNfHCVycKTZUcRVTnb3jRkDvr7mZhERaWDUQgUUFxfTqlUr7r77brOj1BmLxUL0ZdH4+OtboF44eBAWLrQ/19xTIiJ1Tr9NgSeffJJevXqZHaNO5HyWg63cZnYMcbUPPwSrFXr1grPPNjuNiEiD0+ALqu3bt/PLL7/w17/+1ewobpe3LI/Nwzazrts6bKUqquqVkwshX3ONuTlERBoojy6oli9fztChQ4mNjcVisbBgwYIq+8yaNYvExESCgoJISUlhxYoVNTrH3XffzbRp01yU2LNV5FXg39SfJv2b4BPo0f/0UhN79sDKlWCxaO4pERGTePSg9KKiIpKTk7n++uu54oorqrw/b948Jk+ezKxZs+jbty+vvPIKQ4YMISMjg4QE+0SVKSkplJaWVvncr7/+mrVr13LWWWdx1llnsXLlSrdfj9majmxKxIURGDbjzDuL95g3z/7xggsgNtbUKCIiDZXFMAyv+O1qsViYP38+I0aMcGzr1asX3bt3Z/bs2Y5tHTt2ZMSIEdVqdZoyZQr//ve/8fX1pbCwkPLycu666y4eeuihU+5fWlpaqTgrKCggPj6e/Px8wsLCan9xIs7o3h02boRXXoGbbjI7jYiIxysoKCA8PNylv7+9tt+nrKyM9evXM2jQoErbBw0aVO3WpmnTprF37152797Ns88+y4033njaYurk/uHh4Y5HfHy8U9dQV7Jfzyb/x3yzY4g7/PqrvZjy87PPji4iIqbw2oIqJycHq9VKTExMpe0xMTEcPHjQLeecMmUK+fn5jsfevZ4/y3hJVgnbb9vOxj4bKVhTYHYccbWTg9Evvhiio83NIiLSgHn0GKrqsFgqz/RtGEaVbdUxbty4M+4TGBhIYGAgaWlppKWlYbVaa3yeuuYT5EOza5tRsruExj0bmx1HXMkwdHefiIiH8NqCKjo6Gl9f3yqtUYcPH67SauVqkyZNYtKkSY4+WE8W0CyADq93wFZuq1WhKR7s55/hl18gMBCGDzc7jYhIg+a1XX4BAQGkpKSwePHiStsXL15Mnz593HrutLQ0kpKS6Nmzp1vP40qaEb0eOtk6demloJsiRERM5dEtVIWFhezYscPxOjMzk/T0dCIjI0lISCA1NZXRo0fTo0cPevfuzZw5c8jKymLixIluzeUNLVQ5/83h2LJjJNyfQEBMgNlxxNV+39139dXmZhEREc8uqNatW8fAgQMdr1NTUwEYO3Ysc+fOZdSoURw9epTHHnuM7OxsOnfuzJdffkmrVq3MiuwRDKvBrn/uojijGN8wXxIfTTQ7krja6tWwezeEhtpbqERExFReMw+VJ/n9oPRt27Z53DxUhmGQtziPvc/uJemDJPyb+JsdSVxt8mR48UX4+9/h3/82O42IiFdxxzxUKqic4I5/EJEzslohLg4OHoTPPoPLLjM7kYiIV9HEniICy5fbi6mICPjDxLYiImIOFVS14Kl3+dlKbWy8YCPZc7OxVdjMjiPucnIw+hVXQIBuOBAR8QTq8nOCp3X57X95P9tv2U5AywB67eiFb5Cv2ZHE1crLoXlzyM2Fb76Biy4yO5GIiNdxx+9vj77LT2qm+ZjmWI9bCWgeoGKqvlq82F5MxcTABReYnUZERP5HBVU94hviS8I9CWbHEHc62d131VXgq6JZRMRTaAxVLXjaGCrDpl7bBuHECViwwP5ck3mKiHgUjaFygqeModr92G4KVhXQZlobQpNDTcshbvbJJ/aB6AkJkJkJPvp7SESkNjRtglRhLbGy76V95H6VS/EvxWbHEXd67z37x1GjVEyJiHgYjaHycr5BvnRf1Z2Dbxyk6ZVNzY4j7nL8OHz+uf35NdeYm0VERKrQn7m14GljqELahdDmqTZYfCxmRxF3+fRTKCmBs86Crl3NTiMiIn+ggqoWJk2aREZGBmvXrjU1h/WE1dTzSx06eXff1VeDRYWziIinUUHlpUr2lfBj3I/svH8ntnLNil6v5ebCokX257q7T0TEI6mg8lKH3jlERW4FBT8WYPFTi0W99skn9hnSk5OhY0ez04iIyCloULqXSrg/gUadGxHQPACLuoDqt99394mIiEdSQeWlLBYL0UOjzY4h7nbwICxdan8+apS5WURE5LTU5VcLZt7lV55bjq1CY6YajA8/BJsNevWCxESz04iIyGmooKoFM+/y23bLNtYmreXYd8fq/NxigpPdfZp7SkTEo6nLz4uUHyvn2LJjlB8pxy9S/3T13p49sHKlfZqEK680O42IiPwJ/Vb2Iv5N/Om1oxd5i/MIPUdr9tV7H35o/zhgAMTGmptFRET+lLr8vIxfYz+aXq4lZhqETz6xf1TrlIiIx1NB5SVKs0vNjiB16cAB+PFH+/MRI0yNIiIiZ6aCyguU7CthVetVbBq6CWuxlptpEBYssH/s3VvdfSIiXkAFlRc4tuQYRrlBRUEFviG+ZseRunCyu+/yy83NISIi1aJB6bWQlpZGWloaVmvdtBY1H9OcsN5h2Io1/1SDcPQoLFtmfz5ypKlRRESkeiyGYRhmh/BWBQUFhIeHk5+fT1hYmNlxpL6YOxeuv96+dl96utlpRETqHXf8/laXnwezFlspzys3O4bUNXX3iYh4HRVUHuzAKwdY1WoVe1/Ya3YUqSuFhfD11/bnKqhERLyGCioPlrc4D+txK76hGojeYHz1FZSWQrt20KmT2WlERKSaNCjdg53zxTnkfpVLxEURZkeRuvL77j6LxdwsIiJSbSqoPJjFYiHqr1Fmx5C6UlICn39uf67uPhERr6IuPw9UeqAUw6abLxucb7+1j6Fq2RJ69jQ7jYiI1ECDL6j8/Pzo2rUrXbt25YYbbjA7DoZhsGnoJtYkreH4huNmx5G6dLK7b+RI8Gnw/zVFRLxKg+/ya9KkCekeNNdPye4SSnaVYCuzEZgQaHYcqSsVFfDf/9qfq7tPRMTrNPiCytMEJwZz3p7zOL7uOAHRAWbHkbqyYoV9hvSoKOjXz+w0IiJSQx7dr7B8+XKGDh1KbGwsFouFBScXjP2dWbNmkZiYSFBQECkpKaxYsaJG5ygoKCAlJYXzzz+f7777zkXJneMX5kfEhbqzr0E52d03bBj46e8cERFv49E/uYuKikhOTub666/niiuuqPL+vHnzmDx5MrNmzaJv37688sorDBkyhIyMDBISEgBISUmhtLS0yud+/fXXxMbGsnv3bmJjY9m8eTOXXnopmzZtMm0ZmZK9JQTFB5lybjGRzQbz59ufq7tPRMQrec1afhaLhfnz5zNixAjHtl69etG9e3dmz57t2NaxY0dGjBjBtGnTanyOIUOG8Pjjj9OjR49Tvl9aWlqpOCsoKCA+Pt4lawEVbi5kXfI6oodHk/RBEj5+Ht14KK60Zg306gWhoXDkCASpqBYRcSet5fc7ZWVlrF+/nkGDBlXaPmjQIFauXFmtY+Tl5TkKpH379pGRkUGbNm1Ou/+0adMIDw93POLj42t/AX9wbOkxMMDia1Ex1dCc7O679FIVUyIiXsqju/z+TE5ODlarlZiYmErbY2JiOHjwYLWOsXXrVm6++WZ8fHywWCy8+OKLREZGnnb/KVOmkJqa6nh9soXKFeL+EUfExRFYfDU7doNiGPDxx/bn6u4TEfFaXltQnWT5w/IchmFU2XY6ffr0YdOmTdU+V2BgIIGBgaSlpZGWlobVaq1R1jNp1KGRS48nXmDLFtixAwIDYcgQs9OIiEgteW3fUnR0NL6+vlVaow4fPlyl1crVJk2aREZGBmvXrnX6WOXHyqnIr3BBKvFKJ7v7Bg2Cxo3NzSIiIrXmtQVVQEAAKSkpLF68uNL2xYsX06dPH5NS1dze6Xv5MeFHDsw5YHYUMcPvF0MWERGv5dFdfoWFhezYscPxOjMzk/T0dCIjI0lISCA1NZXRo0fTo0cPevfuzZw5c8jKymLixIluzeWqLj/DMDi27BjWAiv+zfxdlE68xq5d8NNP4OsLQ4eanUZERJzg0dMmLFu2jIEDB1bZPnbsWObOnQvYJ/acPn062dnZdO7cmRkzZtC/f/86yeeK2y4Nm0Het3lEXKgB6Q3Oc8/B3XfDhRfaF0YWEZE64Y5pEzy6oPJUv2+h2rZtm0v/QaQB6dsXVq6EmTNh0iSz04iINBgqqDyMM/8g5Xnl+DXxq/YdiVLPZGdDbKz9+b590LKluXlERBoQTexZj2wdvZW1ndZy7PtjZkcRM5xcl/K881RMiYjUAyqoaiEtLY2kpCR69uxZq88vzysnf0U+xVuLCWgW4OJ04hV0d5+ISL2iLj8nONNkWFFQQd63eTQd2dRN6cRj5eZCs2ZgtcL27dCundmJREQaFHX51SN+YX4qphqqzz6zF1NduqiYEhGpJ1RQ1THrCdcuVyNe6GR338iR5uYQERGXUUFVC7UdQ2XYDNZ1XcemEZso2VfipnTi0QoLYdEi+3ONnxIRqTdUUNVCbdfyK1hdwIltJ8j/Lh//CM2M3iAtXAilpdC2LZxzjtlpRETERTx66Zn6Jrx3OD239qR4azG+jXzNjiNm+P3dfZqDTESk3lBBVccadWhEow6NzI4hZigvh6++sj8fMcLUKCIi4lrq8qsjhlWzUzR4P/wAx45BdDT06mV2GhERcSEVVLVQ00Hp5bnl/JjwIzvv2Ymt1ObmdOKxPv/c/vGvfwVfdfmKiNQnKqhqoaaD0g+9e4iyA2XkLs7FEqBxMw3WyYLqssvMzSEiIi6nMVR1oOUtLQlqFYRPgI8WQ26otm+HX38FPz8YPNjsNCIi4mIqqOqAxddC9NBos2OImU62Tg0YAC5a5kBERDyHuvzcTEslCqDuPhGRek4FVS1Ud1D68fXHWZe8joNvHayjZOKR8vNh+XL786FDzc0iIiJuoYKqFqo7KH3/7P0UbSoi9+vcOkomHmnRIqiogA4d7DOki4hIvaMxVG7U9pm2hHQIIeLCCLOjiJnU3SciUu+poHIj/wh/Eu5OMDuGmMlqhS+/tD9Xd5+ISL2lLj8Rd1q1Co4ehYgI6NPH7DQiIuImKqjc4NC7h9h8xWbyV+WbHUXMdrK7b8gQ+xxUIiJSL6mgcoN9M/aR80kOx5YcMzuKmO2zz+wfNX5KRKRe05/MbnD2a2dz4NUDtLiphdlRxEyZmbBli33dvksuMTuNiIi4kVqoauFM81CFJody1syzCIgOqONk4lG++ML+8fzz7WOoRESk3lJBVQs1XRxZGih194mINBgqqFzo0PuH2PXALk7sPmF2FDHb8eOwbJn9uQoqEZF6T2OoXGjvs3spXF+If6Q/8anxZscRM33zDZSVQbt2cPbZZqcRERE3UwuVixiGQcL9CUReEknMmBiz44jZft/dZ7GYm0VERNxOLVQuYrFYaPa3ZjT7WzOzo4jZbLbfBqSru09EpEFQC5WIq61bB4cPQ1gY9OtndhoREakDKqhc4OjCoxx86yDWYqvZUcQTnOzuGzwYAjR1hohIQ9DgC6rMzEwGDhxIUlIS55xzDkVFRTU+RtbTWfwy7hcOvHzADQnF65xcbkbdfSIiDUaDH0M1btw4nnjiCfr160dubi6BgYE1PkbUZVEUFRcRM1qD0Ru8ffsgPd0+EP2vfzU7jYiI1JEGXVBt2bIFf39/+v1vnEtkZGStjpNwdwKNH22MRXdzycnWqd69ITra3CwiIlJnPLrLb/ny5QwdOpTY2FgsFgsLFiyoss+sWbNITEwkKCiIlJQUVqxYUe3jb9++ndDQUIYNG0b37t156qmnap1VxZQA6u4TEWmgPLqFqqioiOTkZK6//nquuOKKKu/PmzePyZMnM2vWLPr27csrr7zCkCFDyMjIICEhAYCUlBRKS0urfO7XX39NeXk5K1asID09nWbNmnHJJZfQs2dPLr744hrlNAyjdhco9UtxMXz7rf350KHmZhERkTrl0QXVkCFDGDJkyGnff/7555kwYQI33HADAC+88AKLFi1i9uzZTJs2DYD169ef9vPj4uLo2bMn8fH2Wc3/+te/kp6eftqCqrS0tFJxlp+fD8CO2Ttof2v7ml2c1D8LF0JJCcTH2x8FBWYnEhGRUyj4389nVzaIeHRB9WfKyspYv349999/f6XtgwYNYuXKldU6Rs+ePTl06BB5eXmEh4ezfPlybr755tPuP23aNB599NEq23tM6QFTapZf6rG9e6FJE7NTiIjIGRw9epTw8HCXHMtrC6qcnBysVisxMZXvrIuJieHgwYPVOoafnx9PPfUU/fv3xzAMBg0axGV/MvZlypQppKamOl4fO3aMVq1akZWV5bJ/EG9QUFBAfHw8e/fuJSwszOw4dUbXretuCHTduu6GID8/n4SEhFrfjHYqXltQnfTHweCGYdRogPiZuhV/LzAw8JTTKoSHhzeob8STwsLCdN0NiK67YdF1NywN9bp9fFx3b55H3+X3Z6Kjo/H19a3SGnX48OEqrVYiIiIi7uS1BVVAQAApKSksXry40vbFixfTp08fk1KJiIhIQ+TRXX6FhYXs2LHD8TozM5P09HQiIyNJSEggNTWV0aNH06NHD3r37s2cOXPIyspi4sSJdZIvMDCQhx9+uFazq3szXbeuuyHQdeu6GwJdt+uu22J48CRKy5YtY+DAgVW2jx07lrlz5wL2iT2nT59OdnY2nTt3ZsaMGfTv37+Ok4qIiEhD5tEFlYiIiIg38NoxVCIiIiKeQgWViIiIiJNUUImIiIg4SQVVLT355JP06dOHkJAQmpxhmZGjR48SFxeHxWLh2LFjdZLPXc503UePHuWSSy4hNjaWwMBA4uPjue222xzrJnmrM133Tz/9xDXXXEN8fDzBwcF07NiRF198se6Dulh1vs/vuOMOUlJSCAwMpGvXrnWaz12qc91ZWVkMHTqURo0aER0dze23305ZWVndBq0DGzZs4OKLL6ZJkyZERUVx0003UVhYaHYst9u2bRvDhw8nOjqasLAw+vbty9KlS82O5VbLli3DYrGc8rF27Vqz47ndF198Qa9evQgODiY6OprLL7+8Rp+vgqqWysrKuPLKK7nlllvOuO+ECRPo0qVLHaRyvzNdt4+PD8OHD+fTTz9l27ZtzJ07l2+++abOprJwlzNd9/r162natCn//ve/2bJlC1OnTmXKlCnMnDmzjpO6VnW+zw3DYPz48YwaNaoOk7nXma7barVy6aWXUlRUxPfff8/777/Pxx9/zF133VXHSd3rwIED/OUvf6Fdu3asXr2ahQsXsmXLFsaNG2d2NLe79NJLqaioYMmSJaxfv56uXbty2WWXVXtpM2/Up08fsrOzKz1uuOEGWrduTY8ePcyO51Yff/wxo0eP5vrrr+enn37ihx9+4Nprr63ZQQxxyptvvmmEh4ef9v1Zs2YZAwYMML799lsDMPLy8uosmzud6bp/78UXXzTi4uLcG6iO1OS6b731VmPgwIHuDVRHqnPdDz/8sJGcnFwneerK6a77yy+/NHx8fIz9+/c7tr333ntGYGCgkZ+fX4cJ3euVV14xmjVrZlitVse2jRs3GoCxfft2E5O515EjRwzAWL58uWNbQUGBARjffPONicnqVllZmdGsWTPjscceMzuKW5WXlxstW7Y0XnvtNaeOoxYqN8rIyOCxxx7j7bffdul6Qd7kwIEDfPLJJwwYMMDsKHUuPz/fpQtviuf48ccf6dy5M7GxsY5tgwcPprS0lPXr15uYzLVKS0sJCAio9PMrODgYgO+//96sWG4XFRVFx44defvttykqKqKiooJXXnmFmJgYUlJSzI5XZz799FNycnLqfYvkhg0b2L9/Pz4+PnTr1o0WLVowZMgQtmzZUqPjNMzf8nWgtLSUa665hmeeeYaEhASz49S5a665hpCQEFq2bElYWBivvfaa2ZHq1I8//sgHH3zAzTffbHYUcYODBw9WWTM0IiKCgICAetUldOGFF3Lw4EGeeeYZysrKyMvL45///CcA2dnZJqdzH4vFwuLFi9m4cSONGzcmKCiIGTNmsHDhwjOOma1PXn/9dQYPHkx8fLzZUdxq165dADzyyCM88MADfP7550RERDBgwAByc3OrfRwVVL/zyCOPnHZA3snHunXrqnWsKVOm0LFjR6677jo3p3aeK6/7pBkzZrBhwwYWLFjAzp07SU1NdVP62nPHdQNs2bKF4cOH89BDD3HxxRe7Iblz3HXdns7V122xWKpsMwzjlNs9TXW/Fp06deKtt97iueeeIyQkhObNm9OmTRtiYmLw9fU1+zJqrLrXbRgGt956K82aNWPFihWsWbOG4cOHc9lll3llIVmb7/19+/axaNEiJkyYYFJq51X3um02GwBTp07liiuuICUlhTfffBOLxcKHH35Y7fN59Fp+de22227j6quv/tN9WrduXa1jLVmyhE2bNvHRRx8B9h+0ANHR0UydOpVHH33Uqayu5MrrPql58+Y0b96cDh06EBUVRb9+/XjwwQdp0aKFE0ldyx3XnZGRwYUXXsiNN97IAw884EQ693HHdXsDV1538+bNWb16daVteXl5lJeXV2m58kQ1+Vpce+21XHvttRw6dIhGjRphsVh4/vnnSUxMrIOkrlXd616yZAmff/45eXl5hIWFAfZlzhYvXsxbb73F/fffXxdxXaY23/tvvvkmUVFRDBs2zI3J3Ku61338+HEAkpKSHNsDAwNp06YNWVlZ1T6fCqrfiY6OJjo62iXH+vjjjzlx4oTj9dq1axk/fjwrVqygbdu2LjmHq7jyuk/lZDFZWlrqtnPUhquve8uWLVx44YWMHTuWJ5980mXHdTV3/3t7Klded+/evXnyySfJzs52/JHw9ddfExgY6BVjbGrztThZKL7xxhsEBQV5ZOvrmVT3uouLiwGqjH318fFxtGZ4k5r+exuGwZtvvsmYMWPw9/d3YzL3qu51n5z25ddff+X8888HoLy8nN27d9OqVatqn08FVS1lZWWRm5tLVlYWVquV9PR0ANq1a0doaGiVoiknJweAjh07enUf/Jmu+8svv+TQoUP07NmT0NBQMjIyuPfee+nbt69Xt3qc6bq3bNnCwIEDGTRoEKmpqY5xNL6+vjRt2tTE5M4503UD7Nixg8LCQg4ePMiJEycc+yQlJREQEGBScuec6boHDRpEUlISo0eP5plnniE3N5e7776bG2+80dGiUV/MnDmTPn36EBoayuLFi7nnnnt4+umnvfrn2Jn07t2biIgIxo4dy0MPPURwcDCvvvoqmZmZXHrppWbHc7slS5aQmZnp1d19NREWFsbEiRN5+OGHiY+Pp1WrVjzzzDMAXHnlldU/kPM3HDZMY8eONYAqj6VLl55y/6VLl9aLaRPOdN1LliwxevfubYSHhxtBQUFG+/btjfvuu6/eX/fDDz98yvdbtWplam5nVef7fMCAAafcJzMz07TczqrOde/Zs8e49NJLjeDgYCMyMtK47bbbjJKSEvNCu8no0aONyMhIIyAgwOjSpYvx9ttvmx2pTqxdu9YYNGiQERkZaTRu3Ng477zzjC+//NLsWHXimmuuMfr06WN2jDpVVlZm3HXXXUazZs2Mxo0bG3/5y1+MzZs31+gYFsP4X3+MiIiIiNSK7vITERERcZIKKhEREREnqaASERERcZIKKhEREREnqaASERERcZIKKhEREREnqaASERERcZIKKhEREREnqaASERERcZIKKhFpcPr374/FYuHxxx+vtN0wDHr16oXFYuGhhx4yKZ2IeCMVVCLSoBiGQXp6Oq1atWLTpk2V3nvrrbc4cOAAAN27dzcjnoh4KRVUItKgbN++nePHjzNu3LhKBdXx48eZMmUK48aNAyAlJcWkhCLijVRQiUiDsn79eoKCgrjmmmvYvn07paWlADz++ON07dqVFi1aEB0dTXx8vMlJRcSbqKASkQZlw4YNdOnShbPOOotGjRqxdetWtm/fzqxZs5gxYwYbNmwgJSWF3bt306NHj0qfO27cOD7//HMABgwYwPLlyyu9f8stt/Dyyy/X2bWIiOdQQSUiDcr69etJSUnBYrHQpUsXNm/ezJ133slNN91Ehw4dWL9+fbXGT1111VV88MEHjtdWq5VPP/2UK664wp3xRcRDqaASkQZl48aNjoIpOTmZF198kTVr1vDwww9TVlbGli1bqlVQ/e1vf2PBggXYbDYAvvvuO5KSkmjatKlb84uIZ1JBJSINxq5duzh27JhjwHnXrl1Zt24dTz75JOHh4WzatIny8vJqDUiPiYnhrLPOYsWKFQB88MEHjBo1yq35RcRzqaASkQZj/fr1BAQE0LlzZwDGjh3LkSNHuOGGGwD7+KqIiAgSExOxWCynPMbvt48aNYoPP/wQq9XKZ599xsiRI91/ESLikVRQiUiDsWHDBjp37oy/vz8A/v7+REdHO4qkDRs20K1bNwCioqLIy8ur9Pm5ublER0c7Xl9xxRX897//ZcmSJXTp0oWoqKg6uhIR8TQWwzAMs0OIiHiilJQU/vWvf9GnTx/27dtHv3792LRpE6GhoY59Bg0axMGDB7nzzju5/vrrTUwrImZSQSUichqbN2/m1ltvpaCgAD8/P5566ikGDRpUaZ/XX3+dW265hUOHDhEREWFSUhExmwoqERERESdpDJWIiIiIk1RQiYiIiDhJBZWIiIiIk1RQiYiIiDhJBZWIiIiIk1RQiYiIiDhJBZWIiIiIk1RQiYiIiDhJBZWIiIiIk1RQiYiIiDhJBZWIiIiIk1RQiYiIiDjp/wGPIs0T7whRowAAAABJRU5ErkJggg==", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "AstroParams_III_ACH = copy.deepcopy(AstroParams_III)\n", "AstroParams_III_ACH.Mup_III = 1e10 # We extend the high-mass cut-off (set to the atomic-cooling mass at current z by default) up to a fixed value of 1e10 Msun\n", "AstroParams_III_ACH.betastar_III = -0.5 # Let's also change the slope at the high-mass end, for fun\n", "SFRD_ACH = zeus21.sfrd.SFRD_class(UserParams_III, CosmoParams_III, AstroParams_III_ACH, HMFinterp_III)\n", "SFE_pop3_ACH = SFRD_ACH.SFE(CosmoParams_III, AstroParams_III_ACH, HMFinterp_III.Mhtab, z_III, pop=3, vCB=False, J21LW_interp=SFRD.J21LW_interp_conv_avg)\n", "UVLF_pop3_ACH = zeus21.LFs.LF_class(UserParams_III, CosmoParams_III, AstroParams_III_ACH, HMFinterp_III, LFParams_III).UVLF_pop3\n", "\n", "plt.figure()\n", "plt.loglog(HMFinterp_III.Mhtab, SFE_pop3, 'r-', label=\"Pop III default\")\n", "plt.loglog(HMFinterp_III.Mhtab, SFE_pop3_ACH, 'm:', label=\"Pop III extended\")\n", "plt.xlim(1e5, 1e10)\n", "plt.ylim(1e-5, 1e-3)\n", "plt.xlabel(r\"$M_{\\rm h} \\; [\\mathrm{M_\\odot}]$\")\n", "plt.ylabel(r\"$\\dot{M}_\\star / \\dot{M}_\\mathrm{h}$\")\n", "plt.legend()\n", "\n", "plt.figure()\n", "plt.semilogy(MUV_centers_III, UVLF_pop3, 'r-', label=\"Pop III default\")\n", "plt.semilogy(MUV_centers_III, UVLF_pop3_ACH, 'm:', label=\"Pop III extended\")\n", "plt.xlim(-14, -6)\n", "plt.ylim(1e-6, 1e2)\n", "plt.xlabel(r'$M_{\\rm UV}$')\n", "plt.ylabel(r'$\\Phi_{\\rm UV}\\,\\rm [Mpc^{-3}\\,mag^{-1}]$')\n", "plt.legend()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "TODO: Play around also with a detached ACH component? Although this was not published yet, so probably an overkill for now" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "TODO: Other block playing with Pop III UV boost (potentially including the IMF-dependence as suggested by Sahil) and burstiness? Although I'd say also probably an overkill and maybe better to add after we use this in some published results" ] } ], "metadata": { "kernelspec": { "display_name": "zeus21_v2test", "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": "3.11.15" } }, "nbformat": 4, "nbformat_minor": 4 }