{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# 5. Compositional Tracking\n", "\n", "This notebook demonstrates the compositional tracking capabilities in TriPoD, which allows you to track multiple chemical species through gas and dust phases including sublimation and condensation processes.\n", "\n", "TriPoDPy extends the basic dust evolution framework to include:\n", "- Multiple chemical components with distinct properties\n", "- Gas and dust phases for each component\n", "- Sublimation and condensation processes" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Theory\n", "\n", "### Gas\n", "\n", "This means under the hood TriPoDPy evolves all the gas components and sums them up to get the total gas surface density. We do this following the works of ([Pavlyuchenkov and C. P. Dullemond 2007](http://www.aanda.org/10.1051/0004-6361:20077317)) who showed that we can decompose the evolution of gas disk into its components $i$ as follows:\n", "\n", "\\begin{equation*}\n", "\\frac{\\partial \\Sigma_i}{\\partial t}\n", "+ \\frac{1}{R} \\frac{\\partial}{\\partial R} (R \\Sigma_i v_R)\n", "= \\frac{3}{R} \\frac{\\partial}{\\partial R} \\left[ R \\nu \\Sigma \\frac{\\partial}{\\partial R} \\left( \\frac{\\Sigma_i}{\\Sigma} \\right) \\right].\n", "\\end{equation*}\n", "\n", "where the velocity is given by:\n", "\n", "\\begin{equation*}\n", "v_R = -\\frac{3}{\\Sigma \\sqrt{R}} \\frac{\\partial}{\\partial R} \\left( \\Sigma \\nu \\sqrt{R} \\right).\n", "\\end{equation*}\n", "\n", "and the total gas surface destiy is $\\Sigma = \\sum_i \\Sigma_i$. \n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Dust\n", "\n", "for active dust components we follow ([Schneider & Bitsch 2021](http://arxiv.org/abs/2105.13267)) i.e. the dust evolution can be described by if there are mutiple components present:\n", "\n", "\\begin{equation*}\n", "\\frac{\\partial \\Sigma_{d,i,j}}{\\partial t} + \\frac{1}{r} \\frac{\\partial}{\\partial r} \\left\\{ r \\left[ \\Sigma_{d,i,j} \\cdot u_{d,j} - \\frac{\\partial}{\\partial r} \\left( \\frac{\\Sigma_{d,i,j}}{\\Sigma_{\\text{gas}}} \\right) \\cdot \\Sigma_{\\text{gas}} \\nu \\right] \\right\\} = \\frac{\\partial \\Sigma_{d,i,j}}{\\partial t}\\vert_{coag}\n", "\\end{equation*}\n", "\n", "where the velocities $u_{d,j}$ are acalcualted for the total dust and $j$ refers to the mass bin (0 or 1). The bulk density of the total dust is given by:\n", "\n", "\\begin{equation*}\n", "\\rho_s = \\sum_i \\Sigma_i /(\\sum_i \\Sigma_i/\\rho_{s,i})\n", "\\end{equation*}\n", "\n", "and the coagualtion source term for each component is defiend by:\n", "\n", "\\begin{equation*}\n", "\\dot{\\Sigma}_{i,0 \\rightarrow 1} = \\frac{\\Sigma_{i,0} \\Sigma_1 \\sigma_{01} \\Delta v_{01}}{m_1 \\sqrt{2\\pi(H_0^2 + H_1^2)}},\n", "\\dot{\\Sigma}_{1\\rightarrow 0}\n", "= \\frac{\\Sigma_1 \\Sigma_{1,i}\\,\\sigma_{11}\\,\\Delta v_{11}}{ m_1\\,2\\pi H_1^{2}}\\,\\mathcal{F}\n", "\\end{equation*}\n", "\n", "where $\\mathcal{F}$ is the same as in section 0. this ensures all of the species exchange mass on the same timescale as the global dust.\n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Evaporation and Condensation\n", "\n", "lastly we have to go over how the equilibration between the dust and gas phase works if we have a species that is active in both gas and dust. We follow the descrition outlined in ([Penzlin et al. 2024](http://arxiv.org/abs/2407.03199)) to describe the sublimation and condensatiion rates of each species.\n", "\n", "the sublimation of a specific species $i$ is given by:\n", "\\begin{equation*}\n", "\\dot{\\Sigma}_{S,i} =\n", "\\frac{\\Sigma_d \\langle 4\\pi a^{2} \\rangle}{\\langle m_d \\rangle}\n", "N_{\\mathrm{bind}}\\, m_i\\, f_{C,i}\\, \\nu_i\n", "\\exp\\!\\left(-\\frac{E_{\\mathrm{sub},i}}{T}\\right)\n", "\\end{equation*}\n", "\n", "where $f_{C,i}$ is the fraction of binding sites covered by the ice given by:\n", "\n", "\\begin{equation*}\n", "f_{C,i} = 1 - \\text{exp}\\left(\\frac{\\Sigma_{d,i}}{\\frac{\\Sigma_d \\langle 4\\pi a^{2} \\rangle}{\\langle m_d \\rangle}N_{\\mathrm{bind} \\:m_i}}\\right)\n", "\\end{equation*}\n", "\n", "and the condensation is given by:\n", "\n", "\\begin{equation*}\n", "\\dot{\\Sigma}_{C,i} =\n", "\\frac{\\Sigma_d \\langle \\pi a^{2} \\rangle}{\\langle m_d \\rangle}\n", "\\frac{\\Sigma_{g,i}}{\\sqrt{2\\pi}\\,H}\n", "\\sqrt{\\frac{8 k_B T}{\\pi m_i}}\\, P_{\\mathrm{stick}}.\n", "\\end{equation*}\n", "\n", "where $A=\\frac{\\Sigma_d \\langle 4\\pi a^{2} \\rangle}{\\langle m_d \\rangle}$ is the total surface area the vapour can condense onto, $m_i$ is the molecular weight of the species, $N_{\\mathrm{bind}} = 10^{15} \\text{cm}^{-1}$. The material parameters $\\nu_i$, and $E_{\\mathrm{sub}}$ are specific to the component with a few examples given in `chem.txt` which was adapted from [drift_composition](https://github.com/rbooth200/drift_composition.git) (written by Richard Booth). We solve for these two proceses simultaneously with the hydrodynamics (of the dust and gas) and the dust growth in the implicit solver." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Setting Up a Simulation with Components\n", "\n", "Let's start by importing the necessary modules and creating a simulation object." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import tripodpy\n", "import dustpy.constants as c\n", "\n", "# Create simulation object\n", "sim = tripodpy.Simulation()\n", "\n", "# Basic setup\n", "sim.ini.grid.Nr = 50\n", "sim.ini.grid.rmin = 1.0 * c.au\n", "sim.ini.grid.rmax = 1000.0 * c.au\n", "\n", "# Initialize the simulation\n", "sim.initialize()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Default Components\n", "\n", "By default, TriPoDPy creates one gas component with the desired mean molecular weight and surface desity profile from the input:" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Group (components)\n", "------------------\n", " Default : Group (Default gas componentDefault (dust_tracer=False, gas_active=True, gas_tracer=False))\n", " -----" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "sim.components" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Each component can have one of several different beaviours:\n", "\n", "- it can be a tracer in the dust or the gas (if there are mutiple components available for gas or dust the tracer follows the global evolution i.e. the sum of the components)\n", "\n", "- it can be active in the dust or gas and thus contributes to the golobal evolution of the corresponing field (we follow the derrivations of ([Pavlyuchenkov and C. P. Dullemond 2007](http://www.aanda.org/10.1051/0004-6361:20077317)) for the gas and ([Schneider & Bitsch 2021](http://arxiv.org/abs/2105.13267)) for the dust\n", "\n", "- it can be active both in the dust and gas and will equilibrate acoording to the sublimation condesation equilibrium \n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Adding Custom Components\n", "\n", "Let's look at how to add the different types of components to the simulation. To do this we have to call the `addcomponent_c` function after the simulation is initialized. It is called in the following way: \n", "\n", "`Simulation.addcomponent(name, gas_value, mu, dust_value = None ,dust_active=False,dust_tracer=False, gas_active=False, gas_tracer=False, description=\"\",rhos=1.0)` \n", "\n", "- `name`: string \n", "Name of the new component\n", "\n", "- `gas_value`: np.array; shape(Nr) \n", "suface desity of the component or value of the tracer in the gas\n", "\n", "- `mu`: float \n", "mean molecular weight of component, only used when `gas_active=True`\n", "\n", "- `dust_value`: np.array; shape(Nr,2) \n", "suface desity of the component or value of the tracer in the dust \n", "\n", "- `rhos`: float \n", "bulk desity of the component in the solid phase, only used when `dust_active=True`\n", "\n", "- `description`: str \n", "additional information that is displayed when printing the component\n", "\n", "The boolians controll if the component should behave like a passive tracer (`gas_tracer=True` or `dust_tracer=True`) or an active component contributing to the gas/dust evolution (`gas_active=True` or `dust_active=True`) if the component is set to active in gas and dust i.e. if `gas_active=True` and `dust_active=True` then the component will follow the evaporation/condesation evolution outlined above.\n", "\n", "Below we show examples how to set up simulations with components for the different behaviours:" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### TRACERS \n", "\n", "below we set up a example simualtion with a gas and dust tracer with a step function and let it be advected by the corresponding fluid" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "sim.t.snapshots = np.linspace(0,1e6*c.year,20)\n", "\n", "tr_gas = np.ones_like(sim.grid.r)*1e-5\n", "tr_gas[sim.grid.r<10*c.au] = 1.0\n", "tr_dust = tr_gas[:,None]*np.ones_like(sim.dust.Sigma)\n", "sim.addcomponent(\"tr_gas\",tr_gas,0.32,gas_tracer=True)\n", "sim.addcomponent(\"tr_dust\",tr_dust,0.32,dust_value=tr_dust,dust_tracer=True)\n", "\n", "sim.writer.datadir = \"5.1_data\"" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "tripodpy v1.0.0\n", "\n", "Creating data directory 5.1_data.\n", "Writing file \u001b[94m5.1_data/data0000.hdf5\u001b[0m\n", "Writing dump file \u001b[94m5.1_data/frame.dmp\u001b[0m\n", "Writing file \u001b[94m5.1_data/data0001.hdf5\u001b[0m\n", "Writing dump file \u001b[94m5.1_data/frame.dmp\u001b[0m\n", "Writing file \u001b[94m5.1_data/data0002.hdf5\u001b[0m\n", "Writing dump file \u001b[94m5.1_data/frame.dmp\u001b[0m\n", "Writing file \u001b[94m5.1_data/data0003.hdf5\u001b[0m\n", "Writing dump file \u001b[94m5.1_data/frame.dmp\u001b[0m\n", "Writing file \u001b[94m5.1_data/data0004.hdf5\u001b[0m\n", "Writing dump file \u001b[94m5.1_data/frame.dmp\u001b[0m\n", "Writing file \u001b[94m5.1_data/data0005.hdf5\u001b[0m\n", 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\u001b[94m5.1_data/frame.dmp\u001b[0m\n", "Writing file \u001b[94m5.1_data/data0014.hdf5\u001b[0m\n", "Writing dump file \u001b[94m5.1_data/frame.dmp\u001b[0m\n", "Writing file \u001b[94m5.1_data/data0015.hdf5\u001b[0m\n", "Writing dump file \u001b[94m5.1_data/frame.dmp\u001b[0m\n", "Writing file \u001b[94m5.1_data/data0016.hdf5\u001b[0m\n", "Writing dump file \u001b[94m5.1_data/frame.dmp\u001b[0m\n", "Writing file \u001b[94m5.1_data/data0017.hdf5\u001b[0m\n", "Writing dump file \u001b[94m5.1_data/frame.dmp\u001b[0m\n", "Writing file \u001b[94m5.1_data/data0018.hdf5\u001b[0m\n", "Writing dump file \u001b[94m5.1_data/frame.dmp\u001b[0m\n", "Writing file \u001b[94m5.1_data/data0019.hdf5\u001b[0m\n", "Writing dump file \u001b[94m5.1_data/frame.dmp\u001b[0m\n", "Execution time: \u001b[94m0:01:23\u001b[0m\n" ] } ], "source": [ "sim.run()" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "from dustpy import hdf5writer\n", "wrtr = hdf5writer()" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "wrtr.datadir = \"5.1_data\"\n", "data = wrtr.read.all()" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(8,6))\n", "plt.plot(sim.grid.r/c.au, sim.components.Default.gas.Sigma, label=\"Gas\")\n", "plt.plot([],[],'k--',label='Tracer')\n", "plt.yscale(\"log\")\n", "plt.xscale(\"log\")\n", "plt.ylim(1e-5, 1e3)\n", "plt.legend()\n", "plt.xlabel('radius [au]')\n", "plt.ylabel(r'gas surface density [g/cm$^2$]')\n", "ax2 = plt.twinx()\n", "ax2.set_ylabel('Tracer value')\n", "\n", "for t in range(len(data.t))[::4]:\n", " ax2.plot(sim.grid.r/c.au, data.components.tr_gas.gas.value[t,:],\"k--\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And component of dust is evolved using the density bins of the small dust in `lst_tr_dust[i][:,0]` and the large dust `lst_tr_dust[i][:,1]`." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(8,6))\n", "plt.plot(sim.grid.r/c.au, sim.dust.Sigma[:,0], label=r\"$\\Sigma_0$\")\n", "plt.plot(sim.grid.r/c.au, sim.dust.Sigma[:,1], label=r\"$\\Sigma_1$\")\n", "plt.plot([],[],'b',label=r'Tracer in $\\Sigma_0$')\n", "plt.plot([],[],'r--',label=r'Tracer in $\\Sigma_1$')\n", "plt.legend()\n", "\n", "plt.yscale(\"log\")\n", "plt.xscale(\"log\")\n", "plt.xlabel('Radius [AU]')\n", "plt.ylabel(r'dust surface density [g/cm$^2$]')\n", "plt.ylim(1e-10, 1e3)\n", "ax2 = plt.twinx()\n", "ax2.set_ylabel('Tracer value')\n", "\n", "for t in range(len(data.t))[::4]:\n", " ax2.plot(sim.grid.r/c.au, data.components.tr_dust.dust.value[t,:,0],\"b\" )\n", " ax2.plot(sim.grid.r/c.au, data.components.tr_dust.dust.value[t,:,1],\"r--\")\n", "\n", "plt.plot(sim.grid.r/c.au,tr_dust,'k--',label='Initial condition')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Dust component" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here, we demostrate how two different dust components will diffuse and mix, while not changing the dust profile. We assuming a separate outer dust reservoir `dust_value1` and outer reservoir `dust_value2`." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "sim = tripodpy.Simulation()\n", "sim.ini.grid.rmin = 1 * c.au\n", "sim.ini.grid.rmax = 1000 * c.au\n", "sim.ini.grid.Nr = 500\n", "sim.ini.gas.SigmaRc = 100*c.au\n", "sim.initialize()\n", "sim.t.snapshots = np.linspace(0,1e6*c.year,20)\n", "\n", "dust_value1 = sim.dust.Sigma.copy()\n", "dust_value1[sim.grid.r<10*c.au] = 1e-11\n", "dust_value2 = sim.dust.Sigma.copy()\n", "dust_value2[sim.grid.r>10*c.au] = 1e-11\n", "sim.addcomponent(\"dust1\",sim.gas.SigmaFloor,1,dust_value=dust_value1 ,dust_active=True, gas_active=False, gas_tracer=False,rhos=sim.dust.rhos[0,0])\n", "sim.addcomponent(\"dust2\",sim.gas.SigmaFloor,1,dust_value=dust_value2 ,dust_active=True, gas_active=False, gas_tracer=False,rhos=sim.dust.rhos[0,0])\n", "\n", "sim.writer.datadir = \"5.2_data\"" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This is the initial dust profile. The overall dust follows a smooth profile that needs to be maintained." ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure()\n", "plt.plot(sim.grid.r/c.au,sim.dust.Sigma.sum(-1),\"k\",label=\"Total dust\")\n", "plt.plot(sim.grid.r/c.au,sim.components.dust1.dust.Sigma.sum(-1),\"--\",label=\"dust1\")\n", "plt.plot(sim.grid.r/c.au,sim.components.dust2.dust.Sigma.sum(-1),\"--\",label=\"dust2\")\n", "plt.xscale(\"log\")\n", "plt.yscale(\"log\")\n", "plt.xlabel(\"Radius [AU]\")\n", "plt.ylabel(\"Sigma [g/cm²]\")\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "tripodpy v1.0.0\n", "\n", "Creating data directory 5.2_data.\n", "Writing file \u001b[94m5.2_data/data0000.hdf5\u001b[0m\n", "Writing dump file \u001b[94m5.2_data/frame.dmp\u001b[0m\n", "Writing file \u001b[94m5.2_data/data0001.hdf5\u001b[0m\n", "Writing dump file \u001b[94m5.2_data/frame.dmp\u001b[0m\n", "Writing file \u001b[94m5.2_data/data0002.hdf5\u001b[0m\n", "Writing dump file \u001b[94m5.2_data/frame.dmp\u001b[0m\n", "Writing file \u001b[94m5.2_data/data0003.hdf5\u001b[0m\n", "Writing dump file \u001b[94m5.2_data/frame.dmp\u001b[0m\n", "Writing file \u001b[94m5.2_data/data0004.hdf5\u001b[0m\n", "Writing dump file \u001b[94m5.2_data/frame.dmp\u001b[0m\n", "Writing file \u001b[94m5.2_data/data0005.hdf5\u001b[0m\n", "Writing dump file \u001b[94m5.2_data/frame.dmp\u001b[0m\n", "Writing file \u001b[94m5.2_data/data0006.hdf5\u001b[0m\n", "Writing dump file \u001b[94m5.2_data/frame.dmp\u001b[0m\n", "Writing file \u001b[94m5.2_data/data0007.hdf5\u001b[0m\n", "Writing dump file \u001b[94m5.2_data/frame.dmp\u001b[0m\n", "Writing file \u001b[94m5.2_data/data0008.hdf5\u001b[0m\n", "Writing dump file \u001b[94m5.2_data/frame.dmp\u001b[0m\n", "Writing file \u001b[94m5.2_data/data0009.hdf5\u001b[0m\n", "Writing dump file \u001b[94m5.2_data/frame.dmp\u001b[0m\n", "Writing file \u001b[94m5.2_data/data0010.hdf5\u001b[0m\n", "Writing dump file \u001b[94m5.2_data/frame.dmp\u001b[0m\n", "Writing file \u001b[94m5.2_data/data0011.hdf5\u001b[0m\n", "Writing dump file \u001b[94m5.2_data/frame.dmp\u001b[0m\n", "Writing file \u001b[94m5.2_data/data0012.hdf5\u001b[0m\n", "Writing dump file \u001b[94m5.2_data/frame.dmp\u001b[0m\n", "Writing file \u001b[94m5.2_data/data0013.hdf5\u001b[0m\n", "Writing dump file \u001b[94m5.2_data/frame.dmp\u001b[0m\n", "Writing file \u001b[94m5.2_data/data0014.hdf5\u001b[0m\n", "Writing dump file \u001b[94m5.2_data/frame.dmp\u001b[0m\n", "Writing file \u001b[94m5.2_data/data0015.hdf5\u001b[0m\n", "Writing dump file \u001b[94m5.2_data/frame.dmp\u001b[0m\n", "Writing file \u001b[94m5.2_data/data0016.hdf5\u001b[0m\n", "Writing dump file \u001b[94m5.2_data/frame.dmp\u001b[0m\n", "Writing file \u001b[94m5.2_data/data0017.hdf5\u001b[0m\n", "Writing dump file \u001b[94m5.2_data/frame.dmp\u001b[0m\n", "Writing file \u001b[94m5.2_data/data0018.hdf5\u001b[0m\n", "Writing dump file \u001b[94m5.2_data/frame.dmp\u001b[0m\n", "Writing file \u001b[94m5.2_data/data0019.hdf5\u001b[0m\n", "Writing dump file \u001b[94m5.2_data/frame.dmp\u001b[0m\n", "Execution time: \u001b[94m0:02:20\u001b[0m\n" ] } ], "source": [ "sim.run()" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure()\n", "plt.plot(sim.grid.r/c.au,sim.dust.Sigma.sum(-1),label=\"Total dust\")\n", "\n", "\n", "plt.plot(sim.grid.r/c.au,sim.components.dust1.dust.Sigma.sum(-1),\"--\" ,label=\"dust1\")\n", "plt.plot(sim.grid.r/c.au,sim.components.dust2.dust.Sigma.sum(-1),\"--\" ,label=\"dust2\")\n", "plt.xscale(\"log\")\n", "plt.yscale(\"log\")\n", "plt.xlabel(\"Radius [AU]\")\n", "plt.ylabel(\"Sigma [g/cm²]\")\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Evaporating and Condensating Component" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "If the components track molecules within a protoplanetary disc, the molecular species can transition from solids to gas and visversa through (re)sublimation. If the material is no tracer and active this will be taken into account." ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [], "source": [ "sim_compo = tripodpy.Simulation()\n", "sim_compo.ini.grid.rmin = 1 * c.au\n", "sim_compo.ini.grid.rmax = 1000 * c.au\n", "sim_compo.ini.grid.Nr = 500\n", "sim_compo.ini.gas.SigmaRc = 100*c.au\n", "sim_compo.initialize()\n", "sim_compo.t.snapshots = np.linspace(0,1e6*c.year,20)\n", "\n", "sim_compo.writer.datadir = \"5.3_data\"\n", "\n", "dust_value=np.minimum(sim_compo.gas.Sigma*5e-3,sim_compo.dust.Sigma.sum(-1))\n", "dust_value = dust_value[:,None] * 0.5\n", "# Adds bcakground dust\n", "sim_compo.addcomponent(\"default_dust\",sim_compo.gas.SigmaFloor,1,dust_value=sim_compo.dust.Sigma ,dust_active=True, gas_active=False, gas_tracer=False,rhos=sim_compo.dust.rhos[0,0])\n", "#add the CO component\n", "sim_compo.addcomponent(\"CO\",sim_compo.gas.SigmaFloor,1,dust_value=dust_value ,dust_active=True, gas_active=True,rhos=1.)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For the sublimation the component requires additional information for each species (or the code will not work): the mean molecular weight `sim.components.SPECIES.gas.pars.mu`, the attempt frequency `sim.components.SPECIES.gas.pars.nu`, and the binding energy in Kelvin `sim.components.SPECIES.gas.pars.Tsub` (see also appendix in https://arxiv.org/pdf/2407.03199) and the bulk density of the material `sim.components.SPECIES.dust.pars.rhos`." ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [], "source": [ "# Set CO parameters for condensation/evaporation\n", "sim_compo.components.CO.gas.pars.mu = 28 * c.m_p\n", "sim_compo.components.CO.gas.pars.nu = 7.0e11\n", "sim_compo.components.CO.gas.pars.Tsub = 1180\n", "sim_compo.components.CO.dust.pars.rhos = 1.0\n", "\n", "#update dust internal density -> changed when adding new component\n", "sim_compo.dust.rhos.update()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now in the initial profile, all the CO is initialized as part of the dust component. " ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fg,axs = plt.subplots(2, 1, figsize=(10, 6), sharex=True)\n", "axs[0].plot(sim_compo.grid.r/c.au,sim_compo.gas.Sigma*5e-3,\"k:\", label=\"Inital CO\")\n", "\n", "axs[0].plot(sim_compo.grid.r/c.au,sim_compo.components.Default.gas.Sigma,label=\"Gas\")\n", "p = axs[0].plot(sim_compo.grid.r/c.au,sim_compo.components.CO.gas.Sigma,label=\"CO\")\n", "\n", "axs[1].plot(sim_compo.grid.r/c.au, sim_compo.components.default_dust.dust.Sigma.sum(-1),color =p[0].get_color(),label=\"dust\")\n", "axs[1].plot(sim_compo.grid.r/c.au, sim_compo.components.CO.dust.Sigma.sum(-1),\"--\",label=\"COsolid\")\n", "\n", "\n", "axs[1].plot(sim_compo.grid.r/c.au,sim_compo.gas.Sigma*5e-3,\"k:\",label='Initial CO')\n", "axs[0].legend()\n", "axs[1].legend()\n", "plt.subplots_adjust(hspace=0)\n", "axs[0].tick_params(axis='x', direction='in')\n", "axs[1].tick_params(axis='x', direction='in')\n", "axs[0].tick_params(axis='x', which='minor', direction='in')\n", "axs[1].tick_params(axis='x', which='minor', direction='in')\n", "axs[0].text(0.05, 0.95, 'Gas', transform=axs[0].transAxes, fontsize=14, verticalalignment='top')\n", "axs[1].text(0.05, 0.95, 'Dust', transform=axs[1].transAxes, fontsize=14, verticalalignment='top')\n", "for ax in axs:\n", " ax.set_xlabel('Radius [AU]')\n", " ax.set_ylabel('Surface Density [g/cm²]')\n", " ax.set_yscale('log')\n", " ax.set_xscale('log')\n", " ax.set_ylim(1e-12, 1e2)\n", " ax.grid()\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "tripodpy v1.0.0\n", "\n", "Creating data directory 5.3_data.\n", "Writing file \u001b[94m5.3_data/data0000.hdf5\u001b[0m\n", "Writing dump file \u001b[94m5.3_data/frame.dmp\u001b[0m\n", "Writing file \u001b[94m5.3_data/data0001.hdf5\u001b[0m\n", "Writing dump file \u001b[94m5.3_data/frame.dmp\u001b[0m\n", "Writing file \u001b[94m5.3_data/data0002.hdf5\u001b[0m\n", "Writing dump file \u001b[94m5.3_data/frame.dmp\u001b[0m\n", "Writing file \u001b[94m5.3_data/data0003.hdf5\u001b[0m\n", "Writing dump file \u001b[94m5.3_data/frame.dmp\u001b[0m\n", "Writing file \u001b[94m5.3_data/data0004.hdf5\u001b[0m\n", "Writing dump file \u001b[94m5.3_data/frame.dmp\u001b[0m\n", "Writing file \u001b[94m5.3_data/data0005.hdf5\u001b[0m\n", "Writing dump file \u001b[94m5.3_data/frame.dmp\u001b[0m\n", "Writing file \u001b[94m5.3_data/data0006.hdf5\u001b[0m\n", "Writing dump file \u001b[94m5.3_data/frame.dmp\u001b[0m\n", "Writing file \u001b[94m5.3_data/data0007.hdf5\u001b[0m\n", "Writing dump file \u001b[94m5.3_data/frame.dmp\u001b[0m\n", "Writing file \u001b[94m5.3_data/data0008.hdf5\u001b[0m\n", "Writing dump file \u001b[94m5.3_data/frame.dmp\u001b[0m\n", "Writing file \u001b[94m5.3_data/data0009.hdf5\u001b[0m\n", "Writing dump file \u001b[94m5.3_data/frame.dmp\u001b[0m\n", "Writing file \u001b[94m5.3_data/data0010.hdf5\u001b[0m\n", "Writing dump file \u001b[94m5.3_data/frame.dmp\u001b[0m\n", "Writing file \u001b[94m5.3_data/data0011.hdf5\u001b[0m\n", "Writing dump file \u001b[94m5.3_data/frame.dmp\u001b[0m\n", "Writing file \u001b[94m5.3_data/data0012.hdf5\u001b[0m\n", "Writing dump file \u001b[94m5.3_data/frame.dmp\u001b[0m\n", "Writing file \u001b[94m5.3_data/data0013.hdf5\u001b[0m\n", "Writing dump file \u001b[94m5.3_data/frame.dmp\u001b[0m\n", "Writing file \u001b[94m5.3_data/data0014.hdf5\u001b[0m\n", "Writing dump file \u001b[94m5.3_data/frame.dmp\u001b[0m\n", "Writing file \u001b[94m5.3_data/data0015.hdf5\u001b[0m\n", "Writing dump file \u001b[94m5.3_data/frame.dmp\u001b[0m\n", "Writing file \u001b[94m5.3_data/data0016.hdf5\u001b[0m\n", "Writing dump file \u001b[94m5.3_data/frame.dmp\u001b[0m\n", "Writing file \u001b[94m5.3_data/data0017.hdf5\u001b[0m\n", "Writing dump file \u001b[94m5.3_data/frame.dmp\u001b[0m\n", "Writing file \u001b[94m5.3_data/data0018.hdf5\u001b[0m\n", "Writing dump file \u001b[94m5.3_data/frame.dmp\u001b[0m\n", "Writing file \u001b[94m5.3_data/data0019.hdf5\u001b[0m\n", "Writing dump file \u001b[94m5.3_data/frame.dmp\u001b[0m\n", "Execution time: \u001b[94m0:03:04\u001b[0m\n" ] } ], "source": [ "sim_compo.run()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In the simulation the CO will find new equilibrium between condensation and sublimation of the molecular species (CO here). This means if will the gas density will drop exponentially at the ice line, while the dust density is reshaped by the drift, back-diffusion and sublimation to a more complexe profile." ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "image/png": 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kPf7446qDYaNGjTBs2DCVOevUqROcnZ3v0U9DRHRnfL081CjolT5zC7Wsl/b0py6HYrXTO4iMTUC9loEqGJOgLCY5GtqsNCRm6fLnheUmRSNs4VjA3BJBr/wKKwsLtVBz1qlNyI2+gs69+6NH926qS2OQuz08Ha1ZjkhEVEkwk1UB+Pj4qEYUEhDVq1ev0G1vv/22GmLFihUYOnRo/m0XL15EmzZtVAMLCZj69++vAiaZIyHB2fbt2wsFXdICXjJWMjdLOhl+/PHHan7XAw88gE8//bTYrBgRkam0rA/ysEeQRx30bf3WDbcnjduAQ6fOI9PCARkWjirwOnYiG2urN0S2RqcCrFytTl0fvXcbMi7sxTWNK9ZGy9LQQG5yDCKXToKTTxAGTf8WQR4OCHSzh2VqNAI8HNC6YW042dsY4CcnIqLywCCrAujQoYMKirZu3YoePXqU+HESGCUkJGDZsmV48sknC9323HPPqSCraEnO6NGj1ZA5WP/++y9++uknrFq1ChcuXMDx48fVGl1ERBWNi7MTerRvWfjKnrWBFx9WZzVaHaJTMlWQ9bPXaBw+2AR+zbohy9UdIfHpuBISCU16MlIT47D5rMwJy5sXFrPmfaSf3w23+8aiRrdHEeRuBy/LLITu+0st3PzoI4+oLJiPsy0szNmUg4jIVDDIqgBGjBiB//3vf/j6668xadIkeHp6luhxly5dUqcFm1voJ5Hv2rXrlo+VjNZDDz2kRmxsrCo3lMxY3bp17+InISIyTRIAyZwsGa1ffgaAjP8kpbbDrme64VJ4DFxrNEJofDqC49OxZp0FMiysYOnmh9jULDUyQ04i6sdPsNHVD7/EB6jHW1uYI3P39zBLjkS3wSPRsVMnlQmTeWGBbrbwcM5bq4yIiIwDg6wKoE6dOmqulARaffv2Vdml4hYjTkxMLHRZP9dq586d6nF68jwnT5684fGSLevatWuhOQU5OTmIj49X521tbcv05yIiqihcHB3Qr1u7G67/8skdaq2whNQstS6YBF6792uxNuxB5Fo5wsfDXmXHsjVaRJ05gOyoS/i7emdsT847mJYZegpRP06FY1AD9JnyFap6OKCahz00MZdR3ccNnVo2ZABGRGQADLIqiFmzZiE7OxuffPKJmpfVpUsXtf6VLC4cHR2tSvlkPStHR0c0a9YsvyRw8eLFqpPgkCFDVHZq7969OHz4sJpn9ddffxV6DclayZytdu3aqQBNAixZ3FjawD/yyCOFuhASEVHJyDxYD2c7NRoHuOCBJv0x6+n/OiRKKaKsDfZz/f/h2InTCGjeDUnmTghJSMeR8zFqQeZcWODgtQQ1RMTSyciOvAivQdMQ2KwLqnk6wCUnDvGndqFF82Z46MH71XXOtjd2iyUiorvHIKsC/SMtzShkbtXChQuxY8cOHDhwQDWucHd3R8OGDfHRRx9h+PDh+WtcNW/eHBs3bsS0adPUwsMyn0rmd0mp4Nq1a28IsqQL4fr161Ww9scff8DBwQE1a9ZUjTDGjBljoJ+ciKjilyIGuNlj8ohHbrhN93wHXLz2Ai6GxUHj5I2rsWm4GpeO7391Qly8HSxd/RCXlq1G6sltiPvrE6wPaoLvrjqpx7s7WCPxny/haGWOAU89i3bNG6KGpyOqezrAzppzbImI7hSDrApGAqevvvqqxPeXVu5SLlhUixYt8rsS6j3//PNqEBGRcZDy7drVAtUo6ONHD6v5tSmZOQiOz8DVuDRs3BSPjQn3w8qrKmwcbdT8r/i0bITs3wRtZipiq3bH8jPZ6vFpZ3YgZcdS1GjdA0MmvIkaXg4q+HLSpaJRzUA2OSIiug0GWURERBU0AHO2s0ajKjJc8GCTp4CXn8q/PTUrF5ejU7DU6X2cPncOtbu1REiKBpdj0pAYF4KsxCiERMVhye6r+Y8JmTsMupwsdHxlEZo2bogaXo5wykmAozYNXds0hb83F6YnIhIMsoiIiCohRxtLNAl0w5w3Jxa6XjJgl0c3wZa9TyIx1xK5LoG4FJOK8yHRuJaVDmhzcS3LDiHHI9T9k3avROK/y+DQqAcaDX0jL+vl5YCrO35Fg9o18OjAB1DD140t6ImoUmGQRURERIUyYDUDfVEzsN8N70rGq2nYc+wsNI4+uByTqrJef52xQ5qTO6zcAxCZnKnGztMhCPksr+R84fmVsHVwQnUPB5hd24fM0LPo0ft+DOjbSwVjbL5BRBURgywiIiIqETsba/Ro0+T6JR/1/w8ekXnAXyE+NRNX4zNwKToVR89fwYq2vZAYHwdbeydk52pxLioFsVs2Iu3EPzgalYXvLturx7vbAOGrZyKoRh0899p01K/igdo+jvB0tOFvhYhMFoMsIiIiumvujrZqtAhyw6OtAjFr2Mb8FvShCekq67XaaRD2B3rDuX4HpDjZICYlC5HBl9UaYDFXz2Fmw8fz12LM2LUM2qhz6P7IKDzw4AAVeNXykuDLWnXUJSIyZgyyiIiIqFxb0MsiyTK6vykdav/rUpucmYNDZ6/hl6ofIzg6Ed4NfHA+KlWtAZZ09SSyQk9h68kQ7NeeUvfPjg1G9A+vwbNGQ4x5bxFqezuijo8T/J3MEeTlyuCLiIwGgywiIiIyCJmP1b1ZLXRv9nKh6zOyNVjXwxX/7jsE+6pNEK11xIXoFJw5FwJNZioSEhLww77g/PtHrXwLOdGX0W7kNHTvdT/q+Tmhuqs1anjawdfD1QA/GRFVdiUKsubOnVvqJx41ahScnPIWO6SyUSvqT0x/cDxS4ACdoy+sPQLh5FMNvn7+8Pf3R61atdCoUSO+3UREZNJkIeTBvTqqUVBSalv8s+cBXIqIB7xr4kJ0Ki5EpSA09ho06Um4lGKO0L3X1H3TL+5DzC/vwq1eWwyeOh/1fZ1Q19cZLrpktK5fAzbWVgb66YioMihRkDV58mQEBASUePHBkJAQPPjggwyyylJOOhqGr8Ls9nIhBUAkgKPI0egQeUGHiCM6pNh7Ab0eAhx9ASdfvPz2R8i0coOlWwCcfCUYq6KCMT8/P1StWlWdJyIiMhUujvY3BF4ifuxVbN5zGDrXAFxOyMHZyGRsPRGjbssyt8Wm01FqiLCFY6BJjUenFxegdetW0MabwfLIJdTxcUbtqvx3kYjucbngwYMH4e3tXaL7MoNVDjQ5uOrWGa6WWTBPi4JVZhzstKmwsjBDoIsMuVM8cPC7/IfMaSn/DwFwHLlaHaIu6xBxXIfwFC0S3QPh/+gowNEHcPLDi9M/gNbBCw7e1eDrH6ACMRn6oMzOzq48fioiIqK75u7ihEfv71r4ylFtcPHaWzgRHINEc2eci0zByZBYhGQkQ6fJwZVsRwQfDpdZY1i6+hMkbFkEjxZ90HfcTDT0d0FDf2e4IwVtG9aCpWXJDjITEZUqyJoxYwYcHR1RUm+88Qbc3d1LfH8qAVsXHKv2DPr16wcrq+slDpocIDUaSI0EUgqM1Ehok8KRGnkJlhKMaZJhaW6GKs4y5IHyj0UksG12/tN/Wv/6U2p1iL6mQ/hJHSJStTiTqoOjby0MfWayCsbg5IOXZ86Blat/scGYg4MDf51ERGQUalX1V6OgnAkp2Hv8HFKt3HAqLBE7jl/E4dwkJADItfPAvxdi1dDl5iD400dgbmWDfu+sQst61VTgFWCvRZPqPnCwszXYz0VEFSjIKo2pU6fe6fZQaVhYAS5V8kYR0txWxVNCkwukxQApEUBqVKFgTE61yeHIjLkKW00KLMwBPycz+KnpdPojd8HAXy/lP/ccf0Cr0yEmVIfwM3nB2LYUOdXBt3YzPDN5mipX1Dn64I3Zn8PTu3AgJqfMdhIRkSFYWVqgc4sG6nzPep6onXUev7y4HLFJC3E2PAHhGRY4FZ6MvYeOIUTayZtZ4HicDid2X1WPid+0EClH16N+/7EY8NSzaFjFBQ2uN9pwdyn5AWkiqthKXC6Yk5ODy5cvo27duurynj170L69miBExs7CEnD2yxvFkIBMLQmp1QBpsQWCsQjoJAhLioBFenR+QCa3mZsBPo5m8HEEmucHY+IMsPIJdU5WOpltB0RHahEh88ZSddiVolWncVlWqNOyC5575W2VHdM5eOOTuQvg4+NTKBhzdnbOXzOFiIiovPh5uqmR7+HGyJj2KHYfP48kSzecDEvGqfAkrEuKALS5iNbYYcWBEOBACHISwhG+6Dk4B9bFqA9+QLNAVzQJdFXNNuys2ciZqDIq8Td/xIgRal7WI488gvfffx8vv/wydu/eDVPw559/qu3VarWYMmUKnn76aUNvknEyt1ABjxrXSXhTMIRSyz9qtUB67PVs2H/BWE58MJASBeuseHWbLjUKZtoceDuYw9sBaHrDC+4Evu2Z/zoj0rWIuChzxnTYl6pVp7FZlsiyckWj9j3x/Ktvq6YeOksbLF++PL9UUYabmxuDMSIiKlN2tja4r01jdX5Qi7zrNE/vx94T5xCebo6rKToVfO3cuBfQaZGZo8VvR8PVELFrZsEyIwEPPPMaBtx/H5oEuKq1vSylbISIKrQSB1knT57E+fPnVengggULYCpyc3Px0ksvYevWrXBxcUHLli3x8MMPw8PDw9CbZrrMzQFH77xxnQRJ1kXuZibBWEZewFVw3lh2fAiy466p5h022Yl5t2my4WlvDk97oPF/Md510k1xDfD5GnVJZ+OCFiHxKgg7dD0Yi8m0QKalq2re0bxzX4x96S3A2h46nQ6bNm3KD8bk987MGBER3SkLC3N0bHZ9IvN1ulGtcWzGCBw4F4w0xwAcD03CsZAEhISehjY9CVsuJGBX2gl1X23oCaTt/gHNO/XExJdeQdMAV1T1sOe/TUSVNciSHVQxc+ZMDBs2DFeuXIEp2L9/Pxo2bIgqVfLmLfXt2xcbN27E0KFDDb1plSMYc/DMG/hv/S7rogGZTgdkJFwPwv6bN5abGIrM2GvQJobBNjcJ1plxgCYL5llJaOhtgYY3NLtMzRuZXwDvfwHYuKigy+LgWRxN0eLvVB2i082QYeUKjZ0XzJz90KZHf4x6dsL1zdDh2LFj6rPu5eUFc9l+IiKi25CDd83q11JDT6pn9g3Yg7X//Au7Wm1wJioTJ8KSEBp8CklXTmKPnQcurjiq7utiZ4WMrQtRq1oQnnvuOXRrVlMt1ExElSDI6tixo8oKWVpaYuHChRg+fDjuhR07duCjjz7CoUOHEBERgTVr1uChhx4qdB/JrMl9IiMj0bRpU8ybNw9t2rRRt4WHh+cHWELOh4WF3ZNtpxKSOVf27nnDJ28ysv7D6Vg0GMtMVCWJBeeN5SaGIUsWokwMg3l6DOxyk2ChzQKykmCRlYT7ahT9mKcDkMUqrwERe4HZH6hW9tJV6tS6f/FPqhZRaWZIt3BGrp0nzF38Ye0RhI7d+2DIkCHXN0WnPm+yrEFJ148jIqLKQw7UtW9aXw09rVaHnQODsObvNoiHI5JcXXE6IhnxCQkI3b4GF7YDJ5zbwPL3S6qs0Cv1Epxz4jGk//3o1qohs11EFTHImj59ev55aUbw22+/4V5IS0tTgdPo0aMxaNCgG25fuXKlKgeUwK9t27b47LPP0KdPH5w7d67E63oVlJWVpYZecnJyfuMPGYaif21DboNRsHQE3GTULHR1wcyYdD7UZqWoIMwsNS8YM7vewCMz9qpqby/BmE12AqyRDWQlq2GFC3iiScEjh5kAQq+P/cg8+Rt0kbOhc/RFtrUbflz2KyJSgXRzZ2TbeKjGIhKMefgGokOHDujZs2d+QKbRaNQBCqoc+H0lMg2G+K62b1xLDb3sXC0OXwzHQryFU2cvwKmKL0ISMnA+KhW7//oRaSc346fNh1Ct9yg0DXRBE39H6EKPY0i/HvDz4nI5VDnkGNF+cEm3wUwne4ClJNmhnTt3Ijo6WqXDC3rhhRdQnun4opksCaxat26N+fPnq8uyPYGBgZg4cSJef/111ZxDslzyODF58mSV5ZKSx+K8/fbbqiSyqB9//BH29qoHH1UglpoM2OYkwiYnUZ3KsM6Oh0V6DKyy4lRWzFGXCjvz3BI/Z2KmDsk6e9h610CmlSuStfb4+qc/kKi1Q6qZE7Ks3aG194Szm6dq2FGzZk3UqVOnXH9OIiIyHcnZwLVUM/z5x1qcO7IP9m2HwKpaXueN7KhLiFgyCea2jmg75QdUdzFDLWcdAmyy4O1UdHY0EZW19PR0FUckJSWpxFOZBVlLlizBs88+C2tr6xuaCMh5afN+r4Ks7OxsFfj8/PPPhQIv6YSYmJiI33//XZU41q9fH9u2bctvfCGB180aXxSXyZKgLTY29pZv5L2ImqWBQ69evf5bjJjunezU65mxvPliZrLgc3IEsq+XKZqlRcE2Ox5WuuwSP2V0Wl7TDku3QDRo20NlyFLNnTBh6iw1Z8zcpQrsvILg518lv619vXr1UKNGjXL9Uenu8ftKZBpM5buao9HibGQKDgcn4o+/N2HD1+/CzMUfPkP+Oygc+ePrMEtPQP8Jb+Phvj3RupobgtzsWGJIFUKOEX1XJTbw9PS8bZBV6vqlt956S5UOyoLDhm4MIIGPlGHJ2koFyeWzZ8+q81KiNWfOHHTv3l1luV577bVbdha0sbFRoyj5hRr6l2pM21HpWLkBDm6AT738q2QmVqHfhByvkDJFfQOP66e65HA1Z0waeZinRsFGMmXQ5Le2B8KBo8vVU7gAWNZXzsm8wTDkavchMlWH8EPS2l6L6GqNULffo4CTH5J1Dnj+tZmwcAuEk3cg/K8HY/oRFBSkDiyQ4fD7SmQajP27KpvWopoNWlTzxNNdagGzn8e16EScjsrAwWsJ2HsxGsGRF6DLycKuMA32rzmlHmcTeRyaM5vRu98ATHp2lJrnZS4LXRKZKCsj+K6W9PUt7yRF9vjjjxs8wCqNAQMGqEFUriSra+ucN7z+K/+Tf85siwZj6fGFArG803CVFZN5YxZp0bDOSYSlORDgbIYAZ31Ydw7Y8p56Grnqh05y7goyc3UIj9Yh/FJedux0ihY1mnTEwCefBZx8VanixDdmw8MvqFAgJo1g5NTJyYkfDiIiE1LV21WNvo2l+3MDhA4NxY9/bIauShMcuJqAY6GJiDi1DykHN2NZtjXWZdSEq70VWlV1h+bsFjzcpxse6NxKtaQnorJX6iBrzJgxWL16tZrvZGiSqpPOblFRUYWul8u+vr4G2y6i2wZjDh55w/e/1vb6MEolt4RWA6RGFxuMyakEZJIds8lNga2lGWq4ySj4j+VB4NeD6pyrZMjqA8lZOoQHaxF+Ki8zdjBFh7AUHVp2fQDDx7+mArKEXBvM+mBOfgCmH1KuyHmJRETGKcDHE689/Vj+5cwcDVa2s8Pq32ogy70WQq0skJieg/X7TiDsyylY8oE5mk79BR0bBqFjTU8087VFvUBPkzqITlShgqzZs2fjwQcfxPr169G4ceMbUmaffPIJ7hWZFyZzrDZv3pw/J0tKAuXyhAl5ax8RmSxzC9WxUI1iSECmmsfnZuUv9FyoTDElAmbXL2uTw2GenQpnGzM421ignixdVshm4LvN6pwbgNfNtQg/n1emeCFFi+0qGNMiSWuP3oOGY+TE1wEHbySlpuH777+/IRiT7yYRERmOrZUFRvTvroZ+XtfJsCT8unkPvt3eBknpWUjUWOGv4xFqxKx5H7lRF9Dv2Tcx/PHBKvDydi5Uh0FE5R1kbdiwAXXr1lWXiza+KGupqam4ePFi/mVZBPno0aNwd3dXc06kfbs0umjVqpXqGigt3KXt+6hRo8p8W4iMkqUN4FY1bxRQ8Nuojktm5TXvQHJ4oYAsNzFEtbi3SJesWSSQmwlPe3N42gNNCk93lFpHIGcp8MlS9Qr2Nm5ofyUG4bu1OJaiw98pWoQm61QXRY29Nx58YixGPTdZZe/kuywHQPTBmMydZFt7IqJ7w8rCHM2D3NB8VD+8O6ofsnI0OBaahN2XYrHrQizWhJ+FJjUee8NzcWTlMfUYn5wI6M5uwUMDB2LC8EFcIJmoPIMsaSLx3XffYeTIkbgXDh48qJpW6ElQJSSwkk6Hjz32GGJiYlQzDlkctlmzZirLVrQZBlGlZ+MINTxq3vyPQP6Cz5GFgjGdBGMJIciND4Z1Vl6Le+g0sMqKRyv//JxaAdLyPhyIeht4/0PVqENn5oSUrfuxJUWH0GStWmMsw9INOidfWLsH4YmnhuPRRx9Vj87IyFBr3UkwJmXBLF8hIipbNlYWaFPdXY3JPesgdugVLF2zARkedbH3WhJOhSfj3P5tSNr5E05dCsa3V53QIsgVXet4Icg8Ef06tYClZdG//UR0x0GWdN7r2LEj7pVu3bqpxVxvRUoDWR5IVAYkG23nlje86/939fVOivnFwbI+Xnrsf+WJKiCTTooRyImXtvahsEiLgnVuKpCTDsRfgrTWeLJJ0TJCWfD5KjTaK0g/fQT4+gvA2R8pmZZY8c0KNV8sMs0MObaeMHOpAjefABV4SXmwfrFnaesqQZkhl1ggIjJ1nq7OeHlU3oEukZiejW9W52CFYw4yvRogVatTDTX2nQtFyOdDYWnnhKfn/o4+LWqhc21PeDje2JmZqDIrdZA1adIkzJs3D3Pnzi2fLSIi4ycTox2984Zf00LBWKEwKicjLxBLjrgeiIWr87rkMOTEhwDJYbDMjIOFuQZOuhQg/LAa3gD+17PgXIBU1VkxMfMswpK1cNizC0htrzJk4Ym5mPDG+0jItVVrjdl5BsK/SoBq3CGja9euav4oERGVnKu9NV4Z8ZAaIiQ+HdvPx2D1us0Is7IBbB3x94VU/H3haN7xuTPr4GenwbixYzCwS0tYsmshVXKlDrL279+PLVu24M8//0TDhg1vaHzx66+/luX2EZEps7ID3GvkjQIKBWOSFUuLuR6AXR/XAzNtchg08SEwT4uERW46XG3N4GprAWguA0fzFj6XmWh/DLW//mTRyNZEITzlAMKitAi7qEN2Uicgpb8KyM5FpmLkxKmwcK0CL7/A/EBMP+RvGjuTEhHdKNDdHk+2q4on241G2tQnsH7fSVzMdMD2czE4FZ6E89t+wZmkKJzI8cbM7fHoXs8b7YMc0KGGO4J8b+i2RFThlTrIcnV1xaBBg8pna4iocmbFnHzyhn/zwjfpm3YIWehZZcTCrgdh/wVjmsQQ6JLCYJEZD2sLoJqrGaq5Xn9kzj5g4z51Vtr17Hlczl1ATNo5VY4YdkKLsN06bE/WQtP3UfgOHqk6Op4NT8aEV6ehSoGsWMEh8z5lCQkiosrGwc4Gg7u1VOen3F8PEYlp+J/jG1i//m/Y1GuF5Mxc/H40HMsXr0P8P1+hbvdH8Orbs9GzvjeqeuQvVEJUoZU6yFq8eHH5bAkR0a3YOAFeToUWetbLD3U0Of91UMwPwv471SaFqqDMXJsNLwdzeDkAzXwLBEqZfwA//KHO1gOwtq006diHkFAdQk5rcTJZh7+T8zooPvbMSxg+foqav3bh4kVVQl0wAAsLC1MdFd3cpCk+EVHF5efqgM/fegF46wVotDocCU7AP2eiMW97sFrzMSrXDu/+eVqNmh620BxYgWGDB2LU4L6wYvMMqqBKHWRJC/Xc3FzUrl270PUXLlxQpYPVqlUry+0jIio5CyvAJSBvFEPltqSRTkZCsUFYofMZ8bC3MkMdDwvU8SjmydIWAh8uBKzs4WvujIFJoQgN0eJqsg7/JuUFYl/OnIhknSNmfvAZRl5fViIkJAR//PFHoayYt7c3s2JEVCFYmJuhVTV3NV7v+we27T+OwxGZOBClxf6r8Th15ACiVn+Df/9YiS/PrMJ9Df1wf0NfdKrtqdb2Iqq0QZa0bh89evQNQda+ffvwzTffYNu2bWW5fUREZUtmaNu75w3fRje/X07mf/PEksKA5ND889K4Q8oWzdLjVPdEJ6SjZ42b/znNCZ4CzFsAuFSBNiEXsb9txtFkLUKSdQhJ0iIizQz27r6qNHHatGlqwXcRGxuL06dPIyAgr2RRursSEZmSbm2aoNv180npOVj8hxUWhjyA2BwrJGRq8POhUDXifn4bfj6eeO2NtzCsVxvYW5d6F5XIqJT6E3zkyJFiW7i3a9eObdSJqOKwsi22aUehhZ6le6I+AyaBlypHDIc2MQTJYWfhrEuBeWYCrHRZQNwFNaRRx/SuNwZLKVnJCE0+Cbczs4Dcv1VAFnIpCu//b4EKxmRtMVsXbxVwyQgMDFTrBbZu3Vo9PisrSy13YWtbsCsjEZHxcLG3wuTHeqmRo9HiwNV4bDwVhbW7T+HapYO4cAl4e93j+HhvklqPq4030KtpVQT5ehl604nKP8gyMzNDSkrKDdcnJSVBo9GUfguIiEy5e6Is7lxkgWdNTg62r1uHfv36wVwWZs4PwgpnxORUlxwKs4wEONmYob6XBZB2Gjh6Wj2PtAFZ/+R/k8STszIQmnwOIUlnVWmiw/4kwKKXKo/cvu8MHhoxAQ6unvlBmD4gkyFrDgYFBd3zt4iIqDhWFuboUNNTjWn96uGHdhuw+u9tSKoaiJD4DGw4FYUfPvoc6ae3ou3QF/HipIno09AXLnaFu1oTVZggq0uXLpg9ezZ++umn/DkEElzJdZ06dSqPbSQiqnCBWKGsWHb6f4FYfjCmH+HQJYXCLDMRzjZmaOBlgQb6g7oxa4G1a9XZ3gDS33RGTFomgpMuIDjpHK5d1iL4iA6Hk7SoglkIengE4OCFdevXY+rUqYUCsYLnq1atyowYEd0zlpYWGPFQbzUkI38qPBl/n4jArFVR0GlycUXjhtd+Po5pa06ilZcWgdkhePWZYfB04yL0VIGCrA8++EAFWnXr1kXnzp3Vdf/++y+Sk5PV+llERFRK1vaAZ628cdNALK1IRkwfkIXmzRNLCoFZdmp+18SW/kUmkF+eBcyZBVhYo4POEZ82i0Zw0nlcO6fDlf1abE/SIjgpb47YshU/Y/Dgwephu3fvxpIlS24IxOS8o6Mjf9VEVKakYqpRFRc1Xr18DOu278f5LGf8dTIKF6JT8fdvPyNx+xIs+PpbjHnvawxo6o/Otb1gbZm/4AeRaQZZDRo0wPHjxzF//nwcO3YMdnZ2GD58uJqP5e7uXj5bSURU2Vk7AJ6180YxzKRrYmbS9aArpMjp9SGdEzXZcEU8elS/RaOOsy8CX30OuATC/kosHE9sw/GdWvx5PRCLTtNBJ/MrXFywcuVK9OnTRz3u7NmzqgmSlCXqAzLOESOiu9Gvaxv0AzCpV12ci0rB1Pf24+8TfrCp1VatxSXD2VoHqwPLMWb4MIwd8iAsLRhwkQkFWd999x0GDBgAT09P+Pv74/333y/fLSMiotJ1TbRzzRs365oo64hJoJUfeIUAiQUDsRAgOxVWOUlAxDE1mgFo1qdwM42sXCAkWQKuHDQOXgRsOajmhZ3Zdgiz3l+A4CQtsq5P0ZU1w/RB1/Tp09G0aVN1fUJCgmrWIe3rzWVBaiKiW/6JM0M9X2esmT8T2rkzcOBKLP4+FYM/j0cg+NBWxKxfiWM7N2HppZ8wqFUQBrcIQC1vZtvJBIKs5cuXY9y4cWjRogUGDhyoRr16slwnERGZzDpirkF5oziFsmHFZMLkckoEbCy1qOVurgbCNuUNAA/LmJi3UxORqsOVBA2uJibjauJxXL16FDah9wFVHFRA9v3332Py5MmwtrZWAZgEYvpgTE779+8PX1/fe/nuEJGJkAMzbWt6q/HWgw2wfJ0V5iSdRpTOCVGpOfhy2yU1tNu+QPdO7TDr1fEI8GG1FRlpkCXzreTI419//YW1a9di1qxZ6gilZLck4JKmFzwaSURUCbNh+vOSFUsMBnLS4OdoBj9HS3QILPDYA1PzBoDRcEDr0Q64lqjF1aRQXE0MxtWdWuxJ1KlMWNOm+/KDrEWLFmHBggWFgrGCQZmsIaZvxERElW/x4xEPdlUjK1eDLWei1bpbG3cdQOi+dfj+wEbs1NTB/a1qY3DLKuhS24vlhGR8c7Lc3Nzw5JNPqpGdna0CLwm4nnjiCWRkZKh2xRJ09e3bFw4O/7UdJiKiSpQNy0gAEq/lBVxFR8I1FYQ5IQ0dAi3UKI5m2zDgeDX1OjUuX0Rby9O4euYk/tmTF4Rl5v53X5kH1qZNG3V+/fr12Lp1qwrApEuijGrVqsHJyalc3g4iMh42lhbo29hPjfPdAzDdNgL7Tl+CxsYRf52IUCNjx7eo4+eKWW++ii4t6ht6k6kCu+PltKXE4/7771fjiy++wMGDB1XA9e677+LMmTN46623ynZLiYjINLJh9u55w19W+iplECYjOxUW6TGAjNADuM8GuO9Bu0JPE59tiWtJwPnoTDQIXwUcOAG4VcORf37Gp59+ixxt4ZeVxkwSbMnyI3Xq1FHXXblyRa3xKNe7urqW69tCRPdWnap+WDHvXXX+VHiSym79uuccru3/E9GaHDzm2AQd2yVgaJsgPNDED7ZWzIaTkQRZRbVq1UqNd955Bzk5OWX1tEREVCmDsJsEYBKcZafC3ToX7l5Acy9L4Ogi4Gjew6c6AlOmuSA2xxrXks1wLioLZ6IycDkhGVeijsHVKifvNczMVAninDlz1OOkU6I+66U/HTlyJLvmElUADf1d1Hi1Vy185L8Iq35fhwz/2jh4LUGNCVPfQYBlMt5+/WU80KW1oTeXKmuQ9dJLL92064u06q1du7YqGWQ7dyIiursgTHobljQIu5ZXiphwFea5GfC2zoK3J9DaU/awCnRHXNoBsHJQWa+RtmmoOdAVp8LTcCUxDZfDT2Lj6eP5pYhDhw7Nf5h0RlyzZk1+AFYwGJNTLy8v9e8gERkve1sbzJgwQo3o5EysPhSKH/dewb59vyEyOQYjLYPQ+WS2ym492MQfdtbMbtE9DLKOHDmCw4cPQ6PRqAWJxfnz59WkY+k2KKWDEojt3LlTralFRER0T4OwtBgVbN04ruUt4JyTBkSfQiNLoJHqUV+4FDFJ54CIDGv47nkbcK8OuFaF9uouxF09hVMnT6o1wooKDw+Hn5+fOv/rr7/iwoULqFGjhhrVq1dXc5oZhBEZD29nW4zvXgvPdq6Oef5f4qtvlyK7XgccDk5U45U53yEg8ypmvfESurVubOjNpcoQZEknQclSLV68GM7Ozuo6qWl/+umnVYfBZ555BsOGDcOLL76IDRs2lMc2ExER3TwIc/TOG4F5zTAKyc3K64Kogq4r/wVgkgmLvwpkp8DFLA0u9mnA8RX5D3uvBvDey07IhSXidU4IS7fCpbhcnAhLU5kwH/NEIMcNsLJV875+/vnnQi8r5Yj6gGvJkiX5jTji4+Ph6Oio5jkT0b1naWmBF0cMViMmJQurD4Vgxf4Q7P/xZwSHnMRD0Vl46OnJGNG+GrrW8YK5OTPWVDJmOp0c9is5aZW7adOmG7JUp06dQu/evREWFqYyXXI+NjYWpi45OVn94yiBpD6oNASZ57Zu3TrVwdHKyspg20FEt8fvq4nSlyIWDL6ulyCqIW3qdddXWS6WGeBcBWGZNjgXk4Oz0Vk4fCUBBy7H41K8Fmk5eU2jpBuvfsmTIUOGqIAsICAgP/NVMAMmXRPZnr788LtKxdFqdfjg6x/wxZdfAp3GwsJJ6o4Bz+xIVMs4jzlvvYyq/t588yrpdzW5hLFBqTNZ8oTR0dE3BFkxMTHqRYV0aZIW70RERCZZililZfFrhEmgpc98yWn8ZSD+St7ITgGSQ1FFDki6AD1cANSWB+Yt0Jxp6YIkCw+Y/z4OcK+hhnPKBbja6BASEqLG9u3b819OArL09PT8yx999BFCQ0MLBWIyJ4xLphCVLclWTX3uSTWuxqZh2d5rWHUwBOf+XoVDxzdi07/7Mf7duRjVoRpq+3B5CCrDcsHRo0erjkytW+d1YDlw4ABeeeUVPPTQQ+ry/v3781vkEhERVZg1wmSOlozismDpcQWCrsv/DcmMpcfBNjdJDRy7nP+wb9rKcEaupaMKwCKz7XA5ETgVkYGwDBtYpMfmlT6amWH16tXq39uiZC5Y/fr18c8//+TP+woODlbzwLg+GNHdqebpgLcebICXe9fBq+bn8H3MJdg3fwA/7gtWo0OADTq4pWHc0P75GWqiOwqyvvrqKzXf6vHHH0dubl4LJktLS4wYMQKffvqpuiwNML755hu+w0REVDlIcOPgmTeKmwuWkZgXbOUHYNdP5bqUCFjmpsJDhjRDdAH6SxZMzKmT1w3RvTpWP2KLK70642x0No5eS8KuM+E4HZaMiIgIlc0q2FhDyhBlkWZfX1/UqlVLdf6VIeelaVWTJk3u3XtDVAHYW1tiwfQXMG/aBOy7koAlu69g4+ko/P3LD/hp2xLM/rQnvvhmCfo19oOVBYMtuoMgSyboLlq0SAVUly/nHY2TkgW5Xq9Zs2I6PhEREVVWdq6AXfPi1wbLTrteelhMBkzKE6UbYtRJVAVQ1QropuoRAXQAdOaeyLTzRZqNN7B+an4ZomNOLGR+fmRkpBrS8VdP/s2+dOlS/uVZs2apAE2CMAnA5NTOrnDHRSLKI9mq9jU91LgSm4aRE9fhX0sbZHk3xKQVR/Hh+nMY0T4I/Rt6wM/TjW9bJXbHixFLUMUjYURERHfJ2gHwaZg3iu2GGFx8AJZwDWbabNilBauBvQfzH/ZPf0A30ANZdj6IgxtC061wNiYHR68lI8u1ZqGX+Pzzz9W8aj0JuIKCglTA1bFjR7VGmJ70ymIreqI81T0dsP2nBbj4wTSsPRWPHw6GIywxA9PmfY/n//oUvR4fi+/nzoK3U4G1+qjSKFGQNWjQINVytqTd9Z544gmV6fL2ZucVIiKiO2ZpA3jWzhtFaXJVo40b5oHFXVJBmJkmG7Zp0ogjrxlHW09ghDRJMwsBDnwDtH4aWq0WL7zwglrXS9a8PHfuHBISEnDt2jU1ZE3MgiTwkoOsclpwyDzsghUtRJVJrSA/vBTkh3E96+G3I2GY/Pxn0GamYs+Za+j0wVY83joQz3atiSquzBBXJiUKsn7//fdCR7luRY5y/fHHH3j33XcZZBEREZUXC0vArVreKJycArSavIWXCwZeEojFngfiLgDrXgVcgmBepzemTZtW6N9wWX5Fgi0Zsi6mnnQQlmBMHDly5IbNGTx4cKH1wbZu3ara0EtWjA0BqDKwtbLA422C8Mi+9Xh3wVIcSPfE6SQtvt9zDUvW7YHL+T/x6azp6NmhmO6lVDmDLPmjy26BREREJsLcAnANyhs1uhXugrh2AnBkOfDb88ALhwFbl0Klgl5eXmp06tSp0FNKc42zZ8/mB2AFhxyI9fCQth150tLS0KNHD3Xe1tY2f76XfrRs2fKGpWCIKtICxzMnjVb7z3sux2H+lotYO+9zhJzYhIEjIvH0uwsxvnst1GH79wqtREGWHI0qLVm0mIiIiIyIdCB84FMgeF9eRuvfT4BeM0v0UFkUWR8kFRUfH19ofUwJuiSIunjxIjIzM3HixAk19GQpmG+//Vadl9snT56s7i+jYcOGqisi536RqZPPcIeanmos9X4N09/JRnaDB/H70XA1etRyxsCaVhjYvZ2hN5UMFWR17dq1PF6biIiI7jVLa6D3e8BPjwF7vwBajcorObwLBcsKhSySfOrUKbXUi8ztkmxXwSyYfp1NIZ0OZXmYglxdXVWwJUGXlCH26dPnrraPyNBGDOypxsmwJCzYehHrT0VizQ9LsHjbYjTt9yRWf7eACxtXMHfcXZCIiIhMVJ0+QPWuwJXtwD8zgUcXl8vLyDqaNWvWVKNfv37F3keaar355psqKDt9+rTKfiUmJmLXrl1qSMCmD7Jk6ZinnnoqP+OlP/X392fmi0xCoyou+PLJlrgQlYJBTyxGInQI1bmj92c78FCzKpjcszaqejgYejOpDFT4ICskJET9QY6OjlZ/7N966y08+uijht4sIiIiw5YN9pkFLOwMnPoVaPd88Yso3wOBgYF477338i9L+aB0OtQHXffdd1/+bVJyuHv3bjUKcnFxUQHXlClTMHDgQHUd282TMavt44QT//yMtVv24M9gc2w8G4s1R8KwYs2f8Ijch68/+wAdmnHeoimr8EGWBFafffaZWiBZFmSUybZyNE0m8BIREVVavo2B5k8CR5blLWT89D95wZeBSaMMWYezuLU427Zti59++kkFX/ogTDoeJiUlYc+ePSpA09u4cSPGjBmDxo0b5z+fDJlTZm1tfY9/KqLiDejRHgPkAEJoEuZsPIufli1HZPg5PDDWApOmzcK47jW5zpaJqvBBlp+fnxpCJtJ6enqqCboMsoiIqNLr8RZw8lcg7CBw8heg8SNG/ZbIv+OPP/54oeuysrJUoCVBV5cuXfKvP378OMLCwtRYv359oYOv9evXx/z589G+fXt1ncwdk+vZbIMMpXGAC5aMbov7vBZg6vR3YNb2USzZfRUrDgRjWFM3PNOtLvw83fgLMiHmpX3AjBkz1CTWsrJjxw70798/v576t99+u+E+CxYsUDXZcnRLjmLt37//jl7r0KFDamFFKU0gIiKq9Jx8gM4v5r0N/7wN5GSY3FtiY2ODRo0a4bHHHss/qCqee+45Nadr4cKFGDdunGpJL/O/JKCSssOCB1sXLVqkDsJ2794dkyZNwpIlS3Ds2DHk5OQY6Keiyuqp/vch9Mh2rJzUB82DXJGZo8VH785AULXqmPS/r5Cj0Rp6E6m8MlmyMPGsWbNUx0FJw0vXH/kDd6dkLY2mTZuqdq6DBg264faVK1fipZdeUn8kJcCS0j+ZACvdiby9vdV9pBRQ/mgWJaUCErwJyV4NHz5c/SG9FTkiJqPg4otC/tAa8o+t/rX5B5/I+PH7Sial1bOwPLgYZkkh0OyaD23HyagI5MCsdDEs2MlQ5mnJXG0JsmT9T/13VQIq2U/Ytm2bGnpSVigB3Pfff5+/XijnetG90LqqC1Y+3Rp/HQ3Gk4vPIjctCStPpuDEp9vxSq866Fnfq1JlXnOMaD+4pNtgppO/FqUkK70vXrxY1UVLcCOpewmSCv4huxPyYVmzZg0eeuih/OsksJLnlbS+0Gq1KhM1ceJEvP766yV6XgmaevXqhWeeeUY1wbiVt99+GzNn3rhmyI8//gh7e/tS/0xERETGLiB+N1peW4hcc1v80+AjZFn9t0BxZSBrfIWGhuLq1atqSBdDGenp6er25cuXw9HRUZ2XLNfBgwdVx8Tq1avnn+pvJyprWdm5WLH9GM67tkFqbl5g5Ry+H71rO6Nzk1p8w+8x+bswbNgwNRdUsuNlGmQVjOT++OMPFXBt2LAB9erVU9mtkSNHqk4/dxtkyR89CWx+/vnnQoHXiBEjVHtXyardjvx48kbIRFcJoG6nuEyWBHWxsbG3fCPLm7zXmzZtUsGilZWVwbaDiG6P31cyOTotLBb3gXnEEWiaD4e23yeo7N9V2X+4cuWKWt+rYPt5ue/27dtveC6Z1iCVNRKE8aAslYeUzFws2nkF32w9g8sLnoY2PQkDXpuL+a+NgK+zbYV+03OMaD9YYgMpL75dkHVXjS/kD5D80BIMyXk3NzeVcZI26VKWJ/XRd0MCG5lD5ePjU+h6uSx/9EpC6rGl5FA6Cunney1btkx1GyqOlD4WV/4ov1BD/1KNaTuI6Pb4fSWTcv9sYPH9sDi6HBbtngN8GqKyf1flAK2MgqSKRyp6Dh8+nH+qz4DJFAjZ6dKXcb3wwgtqX0Zftti8eXM23qI75m5lhSl9G+CBOk54bG9HnD91FEe1Aejz+S6M714LYzpVh62VRYV+h62MYD+4pK9veacNJPTlghKQyFwnaU5Rq1ZeynLevHnqD8vdBlllQSa6SokhERER3ULV9kCDgcDp34GN04Cn1vDtukXX4oLZrYSEBBw9ehRxcXGF5sn8+uuvqruh7C8Jc3NztXiyBFyyfzJq1Ci+x1RqjWoG4tSOP7HvXBg+3HINh64l4MP1Z/HOK+Pw9LBH8O6LT6vPGhlWqYMsyQBJFql379749ttvVWdAC4vCUfPQoUNVd567Jak4ee6oqKhC18tlaeNKREREZajnTODsOuDSlrxRswff3hKQSh7pTFiQVPh89913OHDgQP4IDw9XTTdkyBpfBYOs999/X83t6tChA4KCgipVUwO6M23rVsHPdfyx9lg4XpuzGMGHN+H9Y9twRuOHD0Z0UwsekwkFWUOGDFFNLqpUqXLL4KgsskfS1UcWD968eXP+nCx5Xrk8YcKEu35+IiIiKsC9OtD6aWDfl8CmGUD1bpJ+4Vt0ByRIkgPSMvQkq6UPuAICAvKvlzJDmWqh33eSTJms4SUBl5y2aNFCdUskKu5zNrBZFXScNwnDEIXDoSk4HG+O+z//V5UPTuxeE052XHzbEEr9l1M/96qojIwMvPPOO6XegNTUVJVilyFkkqmcDw4OVpelfbvM71q6dCnOnDmD559/Xv0xYoqdiIioHHR5FbB2AiKP5y1QTGVGDlDLQWNZCkf2ZwruQ8nBYykjlEWRIyIiVKnhK6+8go4dO+Lpp5/Ov68EYhKsERXk6eqEjcvm4fDPX6BPQx9otDosWLsb3kG1MP2zb9X+Oxl5kCXtzSUwKq6dYXGtz29H2qDKRFAZ+qBKzk+fPl1dlnldH3/8sbosXXskAJOV24s2wyAiIqIy4OABdLpe8r/lHSD3v467VD6kAujzzz/H/v37VceyHTt24H//+x8GDhyo1gSV5Wz0ZMqGZMGkpFD2keRx0oBDGoURBXnY46unWmHxyNbQHFmDzNgQfPjpXDy99ABCE/KWJCAjLRe82SJ8spCfu7t7qTegW7dut42u5egOywOJiIjukXbjgP3fAInBwMHvgHb/ZV2ofEn7986dO6shZB9J1iTVk6oeaWogiyrLWLVqlbpeuhpK1uu1115T+1ZUuXWv541TG37CY+On4IJjE2w+G4Pdl3ZgYvcaGNWxGuxsWEJoNJksKRGUIEoCLFn1XM7rh6yJJX3rZb4WERERmThrB6D71Lzz2z8EMpMMvUWVlux3FWwZPXjwYJXt2rJliyo7lC6HEmDJ2j1///13/gLKQjJjskao3Lfg9VQ5eLg64Z8fvsA/7zyBNtXdkZGjwbRZH8GnZiP88Nc2Q29ehVfiTNZnn32mjqZI0wspCyy42LA0qJBF+GRyJhEREVUAzZ4E9iwAYs8Du+YC971l6C2i6xwdHVU3Q31HQykVPH78uCozlGyWnqwPOnv2bHVe5nrJnC/JkEmmS07leajiky6DK8e2w4p9VzBi4SjkJMVg0oJfcUXnjZd714WddcVeW8vog6wRI0aoU317UUMvBEZERETlyMISuG8GsPKJvGBLug46+/EtN0Ky3E3B+e16cvD7iSeewPbt2xEaGoo9e/ao8eGHH6qgS0oP9WucUsXPiA5tVwMtDh/C6Kn/Q2i13vhm5xVsOhOFmf1qoVvDQENvYuUsF5QUtJ58gaULjlxX3CAiIqIKot4DQGBbIDcD2JaXESHTIWuZLl++XHVslu7N0qlZKpLkgLlMA6lRo0b+fZ999ln06dMHH3zwgWpKxkYaFVPdGoHYtXIBloxqAz8XW1yNSUGfnj3QvNdghMfEG3rzKl8mS76I0k5UOty4uroW2/hC3xCDX0oiIqIKQv697/UO8F0f4MgyoP0EwKuOobeKSkn2z2Rah4zhw4er62JjY1UDDf0+3B9//KH29TZu3Kiuk/09KSu877771Khfvz7f9wrWGGPDi13w7P+WYEXkJRxPiMCATzbhk1E90KWOl6E3r/IEWTJhUt85cOvWreW9TURERGQsgtoBdR8Azv0FbJ4JPP6DobeIyqhtfEESXMn+3ubNm7Ft2zYkJiaqOV0ymjRporpI60lFk52dHX8PJs7Z1go/vf0MOtXxwfz1RxGrc8Tw7/ZjaJsgvNG3LhcxvhdBVteuXYs9T0RERJXAfdOB838DZ/8EgvfmBV5UoTJdjRo1UuOFF15QLeMPHz6sAi4JvGQuvp50KZTKJpk+IuWF999/P1q0aJGfFSPTM37YAIwc3A8fbTiHJbuvYukfWzF3/EAs+GIhRj7c29CbZ7JK/Y2QhYB37tyZf3nBggVqkeBhw4YhISGhrLePiIiIDM27HtD8ybzzm2ZIfZmht4jKkTTFaNOmDaZOnYpNmzaprtJ6+/btQ1pamtoXfOutt1THQl9fXzz55JNq/ldMTAx/NybIwcYSbw9oiB+fbov0XcuQHnkFE954F3M2nkOORmvozascQdarr76a3+DixIkTeOmll9QaDTKhUs4TERFRBdRtKmBpC4TsBS5sMvTWkIFI2/irV6/iq6++wsMPPwwnJycVWP3www946qmnVKClJxkxme9FpqNDLU8c2/YXmvR6FG69nse8LRcx6IvduBidYuhNq/hBlgRTDRo0UOd/+eUX1bnm/fffVxktWQSPiIiIKiBnf6DN2LzzW94BtDy6XVlVrVoVY8eOxa+//oq4uDjVIv6NN95QZYNSPqgngVdQUBDGjRun9hEzMzMNut1UMlX9vXFs4yp8+XQ3uNhZ4URYEto9NhHPvvUxtPzel1+QJQsP61cN/+eff9C7d16tpjTGYAt3IiKiCqzTi4C1ExB5Ajj9m6G3hoyArJvapUsXzJo1C4cOHSrUhVCmmMj6XF9++aWqepJmG4MGDcLixYsRHR1t0O2m23uwiT82TO6CBlYxiNv2Pb5+71U8+s5SpGTm8O0rjyCrU6dOqizw3Xffxf79+/HAAw+o68+fP4+AgIDSPh0RERGZCnt3oMOEvPNb3wc0uYbeIjJi3333Hf7880+1Bpe/v7+ay7VmzRq1Vpdc5lx+4+frYovfpz+JAWNehFOz+3Eo0xsPzN2J46GJht60ihdkzZ8/X02I/Pnnn9WRiSpVqqjrJQ1cMEVMREREFVC7cYCdOxB3ATi+wtBbQ0ZM2rzLwfiFCxeqjJZkumbMmKHKCqWxhqzDqiclhW+//TZOnjzJeVxGxsrKEr9/Mwdb1vyAKq52CI5Px8PztmHMtDksH7wFMx1nJN6SlEC6uLggKSkJzs7OMJScnBysW7dOpdslNU9ExovfV6rwds0FNr0FuAQBEw8CljYwRfyuGo7Mz7K1tVXnZV6Xj48PNBqNulynTh0MHjxYDQnIpMU8GYek9BxM+eU4fvj4DaQe34j6PQZj718/qTW3Kst3NbmEscEdLWogk96kPFDad+7YsaPQICIiogquzTOAoy+QFAwcWmrorSETpA+w9Oe//fZb1UzNxsZG7WPOnj0brVq1Qo0aNbBo0SKDbiv9x8XeCl880RwP9+wAMwsrxHk1x0Pzd+FCFLsP3nWQtXfvXtSqVUtNbJSJjt26dcsf0taTiIiIKjgrO6Drq3nnd3wEZKcZeovIhDk4OGDEiBFYu3atagf/008/4ZFHHoG9vb1qF1+wo53M4zp27BhLCg1IFp7+fs4MbNp3HDWbtsPl2DQMXLALq3efN+RmmX6Q9dxzz6kjC1IzGx8frz7s+iGXiYiIqBJoPhxwDQLSooH9Xxt6a6iCkHW3Hn/8caxevVoFXNImXjoS6kkA1qxZMzRs2FA1Ybtw4YJBt7cyu69lPfwxsRM61PRASlIChvbtjC6PjEF2Dhvi3FGQJR9mWRdLMlmurq6qJrHgICIiokrA0hro9kbe+Z2fAZlJht4iqmAkkyULHnt5eeVfFxUVpUoKz5w5g+nTp6v5W3Lwf86cOaq5Bt1bHo42+H50G7Q1vwxNcjT2/PMXxny9HWlZDLRKHWS1bdsWFy9eLJ/fFBEREZmOJkMAz7pAZiKwe76ht4YqgZkzZ6pAa8mSJejTpw8sLCxU18JXXnkFNWvW5JqtBmBpYY6fP30Tr3zwBao8PhP/hmTi0YV7EJGUgcqs1EHWxIkT8fLLL6sPt3yojx8/XmgQERFRJWFuAfR4M+/83i+AtFhDbxFVAlI5JXO4ZLHj8PBwLFiwQK3j2rt370Ld3qR5xpYtW9hm/B756LXn8cvUIfBwsMbpiGT0eHkBVq7bjsrKsrQPkHaaQhaS05PWmtIJXk717TeJiIioEqg/APBrBkQcBXZ+CvSZZegtokrE29tbrbElQ9p86125cgVvvJFXzhoUFIThw4erwEyat1H5aVnVDb+N74jHP/oFe5a/jaHf5yJu+RqMG9K30r3tpc5kyYe26Lh8+XL+KREREVUisoZRj7fyzu9fBCRHGHqLqJIquH6SHPgfO3asynoFBwfjvffeQ+3atVXGS1rCyxpHVD4C3e2xYnJf+NZqBGvf2vj4QCbWHguvdG93qYOsqlWr3nIQERFRJVPrPiCwHaDJystmERlYtWrV8NVXXyEiIkJ1JLz//vtV6/Fdu3ap4GvNmjWG3sQKLdDHExcObMfIt7+E1sIak1YcwbK911CZ3NFixMuWLUPHjh3h7++Pa9fy3rDPPvsMv//+e1lvHxEREZlCNqv71Lzzh5YAyZXvqDUZJzs7O9US/u+//0ZISAg++OADtGvXDkOGDMm/z4oVK9S8rsTERINua0XjYGeDL0Z2xFPtqkKnA16cNQ9PvfwOKotSB1lffvklXnrpJfTr1099GPVzsKSduwRaREREVAlV7woEtWc2i4yWJAdee+017NmzR7WHF9JTQDoWTpgwQd0+atQodbtcT3fP3NwM7wxsiP7+mYj78xMs/2QGpn25slK8taUOsubNm6dqWd98803VNlNP1ig4ceJEWW8fERERmUo2q1uBbFZSmKG3iOi2cnNzVdOMRo0aISMjQ3XP7tChA5o0aYKFCxciNTWV7+JdMjMzw+cTHkanQSPh2Lwfll21x6oDIRX+fb2jxhfNmze/4XpZGC4tLa2stouIiIhMTfUuQNWOgCabc7PIZJplyPJEsgzR7t27MXLkSFViePLkSTz//PNq/hbdPXNzc2xf/Q1efvsDmJmZY+qaE9h2LrpCv7WlDrKqV6+Oo0eP3nC9rFVQv379stouIiIiMsls1ut55w8vBZJCDb1FRCXOtrRv3x6LFy9Wa2/JFBjpRvj000/n30e6FMrcLq1Wy3f1DgOtGf0bYnCLAORqtHjs+SlYu3VPhX0vSx1kyXys8ePHY+XKlapedf/+/Zg1axamTp2q6lyJiIiosmezOuVls/79xNBbQ1Rq0mdg0qRJOHv2LLp3755//dy5c1VPgrp166ogjG3g7yyYnT2oMdwurkf01iV4dNBDuBJRMRcxL3WQJRG9dGaZNm0a0tPTMWzYMNUM4/PPP1fdW4iIiKiS03caPPw9s1lk0pkXCQr0nJyc1LpbFy9exIsvvojAwEC8/PLLKsNFJWdtaY41n0+Dg081OLYdgld/O48cTcXLDt5RC/cnnngCFy5cUJMBIyMjERoaijFjxpT91hEREZHpqdYJqNYZ0OYA/84x9NYQlYkZM2aofV5piNGgQQOkpKTgk08+QY0aNfDcc8/xXS6F6gG+OHLkCPzbPoiD1xLw6abzFe79u6MgKzY2FgcPHsSZM2cKdRgkIiIiUvSdBg8vAxJ5pJ8qBkdHRzz77LOqMYbMz7rvvvvUckb6lvBCptOwBfzt1fZzxf8GN1HnF2w5j7U7j6PSBlmnTp1Cly5d4OPjg7Zt26JNmzbw9vZGjx49cO7cORgzKW2sWrUqXnnlFUNvChERUcVXrWPe/CyVzeLcLKpYpIzw/vvvxz///IPDhw8X2r/8999/VUv47777DtnZ2QbdTmP3QBM/9Ao0Q+TyV/D4oAeRkJxa+YIsKQvs2rUrYmJiVGp03bp1+Ouvv/DRRx8hIiICnTt3RnS08bZilOYcssI3ERER3eNs1pHlzGZRhSVLG8lCxnrz58/H6dOn1VSamjVrqjVmZQ0uKt60Qa2hS41DZlIspi36DRWFZUnv+Omnn6pM0K5du2Bra5t/vUTxso5Ap06d1H1mz54NYyPzx6RDTP/+/VV6t6xJK8/yPlKRk5MDS0tLZGZmqrQ0Gd86GyydJSIqomoHoHpX4Mp2YMfHwIC5fIuowlu0aJGq9pKkhMzheuGFF9TBfunQLfvM0kCD/lPVzwsfL/oRH+2MxeZEd0QkZcDPxQ6VJsjatGkTXn/99UIBlp4s2vbqq6/iww8/LHWQtWPHDpUNO3TokMqIrVmzBg899FCh+yxYsEDdR7JpTZs2VUcE5MNbUpLClcfLInNlTYIrWaC5vNdMkNpeX19fhISEFOp0Q8bV8lV+R/z9EBEV0P2NvCDr6A9Al1cA1yC+PVShSQdC2fecMGGCWndLunJfu3YNU6ZMwerVq3HgwAFDb6LRmTikN/5N2IMDVxMwZ+N5fPxoU1SaIOvy5cto0aLFTW9v1aqVuk9ppaWlqcBp9OjRGDRo0A23y3pcEvlLJxeZBybrEvTp00fNAZP5YKJZs2bIzc294bEbN25UH+Q6deqoUdZBlgQ+EhhKBkPaeEqrz/IiQZx0c5QJl+X5OnRnnwOZ86cvl/Xz8+PbSESkF9QOqNENuLwN2PU58AC7DVLlIIkJyVzJ8kc//PCDSkQ888wzhQ7Uy1pbXl5eqOzMzMzwRr/6ePiL3Vi5+QAeb+iIVg1qolIEWdKm0tnZ+aa3S+pTgoDS6tu3rxo3I6lW+UCOGjVKXZZgS+aCyWRCyayJo0eP3vTxe/fuxYoVK9SRA9k+KbuTn2P69OnF3j8rK0sNveTkZHUqj5NRkAR2EiRKHW5xGb6y3pGXL6ONjQ0zJUZIfi8SCMucRTc3N5YOVnL6vxVF/2YQVVZmHV6E5eVt0B1ehtz2kwAn4zgYxe8q3Suy/JGsJyv7c/rP3ZIlS1QiYeLEiWrdLdl/qMwa+TnC+ezvOPH7N5gY8SR2/PytUX5XS7oNJQ6y9IHWzYIJCUbKul2lBBVSRjh16tRCC8P17NkTe/bsKdFzyFEDfQmjfJhlTtbNAiz9/WfOnFlsVqxge04hc6SkPEy2Ux+MlTf5HZBxkiBLJrZu3ry52MwqVT5SZk1E6kghOjnUgUfaeVz76VWcChhmVG8Lv6tkCN9//706WP+///1PTYWR6TIPPvigmoZTWbWs6Y8T0OHkhSv4Ze062Fka33dVqpfKNMiSAEpK7m51e1nPRZH1uKTJg7SML0guSyOL8iABnRxV0JPgSUoBe/fufUMmT5pQyBwpKeG7F5ksCbAkY8g5P8ZJPg/yh1GWOSjvzwMZNznKJf8Q9OrVSzVFISLA7JIdsGIIaibuQNUnPgMcPA3+tvC7SoYklVxr167F22+/rZZJkpLCDRs2qD4HsrhxZQy27r//fpy1rIEIMw9k+dbH4DaBRvddLWlipcRB1tatW2HqRo4cWaKyLxlFyS+06C9VAkAJeCS7Vt7zpPSNNfSvR8ZHfi/y+ynus0KVEz8LRAXU7Q34N4dZ+BFYHVoE3HfzqpJ7jd9VMpRHHnkEDz/8MFatWoUZM2aojtjSIOPgwYPquspoeN+O+GD9WWw6E4MRHWsY3Xe1pK9f4iBL1si61zw9PdXclqioqELXy2Up06M7061bN9UsRJqIlMTVq1dRvXp1HDlyRD3uTpXV8xARkQmSapcurwIrhgH7vgY6TATsKvccFCIh+7pDhw7Fo48+imXLlqlpK9L2vWCljLW1daU5yN63ka8KsnZfiEJkfAp83U2z5b1R/7bkA9WyZUs1x6VgRkcut2/f3qDbZsp+/fVXvPvuuyW+v5RLShdFWb1cbNu2TWVsEhMTy2X7Ll68qBqdBAQEqKyiBGbyx0eO6hT0559/quBfSihlvlzr1q3VvDsiIjJSdfoC3g2B7BRg/yJDbw2RUZG5/rL/I9ksWX9WT4Iu6eJdcH+4Iqvm6QDr42twbe4TmPnpVzBVBg+ypOOfdAfUdwiUNafkfHBwsLos86NkUbelS5fizJkzqhWmTBLUdxuk0nN3dy/VQnhyhEUyh/LlL28SSElgff78eXz11VdqxXRZO61evXp4+eWX8+8nE0QHDhyIjh07Yt++fTh+/Ljq2iM1zLI2BRERGSE5Et/l+t/yvV8AWWzmRHSrcjTJYslaW1IFJI3f+vXrp5q4VXR1fJygzUzFX3+uhcnSGdjWrVulJeENY8SIEfn3mTdvni4oKEhnbW2ta9OmjW7v3r33bPuSkpLU9shpURkZGbrTp0+r0/Km0Wh0CQkJ6vRude3aVTdp0qT8y1WrVtXNmjVLN2rUKJ2jo6MuMDBQ99VXX+XffuXKFfUeHDlyJP98cb+rv//+W9exY0edi4uLzt3dXffAAw/oLl68WOzzFEer1eoaNmyoa9myZbE/p/z8Ijg4WGdlZaV76aWXbrjP3Llz1Wvcy8+IIT4PZNyys7N1v/32mzoloiI0uTrd3BY63QxnnW7nZwZ9e/hdJVMQHR2tmzhxos7S0lLt45ibm+vGjBmjCw0N1VVUmw6e1fkO/0TX9K0/1f6hMX1XbxUbFGRuDPODpHNe0VGw7EtWzJaVsmX9KslayKLExkwybTcbckSipPeVduAluW9ZmDNnjkpFy5GScePGqYyhLPhcXOngL7/8os7L7VJG+Pnnn+dvn2QeJRslKW2pHZbJnPqmHbcjGUzpriMZq+Lqjl1dXdXpzz//rLrMFJexevbZZ1W3x59++qnU7wEREd0D5hZA5+vZrN3zgJzC/9YRUWGyWPHcuXNVdY80ypD9qm+//VZ1/ZZqn4qoU5NasK9SF4nZQERS4X1nU2F+N/NmpM2kPhAo6zWyTJns5N9sDB48uNB9vb29b3rfoos0N23aVLWRL3q/siDpZwmuatWqpbraSNOR4jpKSumglBvqt13KCF1cXNRl+dkGDRqknkMaW8iC0SdOnFB/FEpCapCFlAbeipQSymv6+fkVO4+vRo0a6j5ERGSkGj8KuAYBaTHA4e8NvTVEJqF27dpYvXo1du/eraZLyL63HCCviGytLFDbO28f92RYEipFkBUXF6dqQiV6lh1zyWSIMWPGFJozQ6alSZMm+eelqYUET9HR0aV6DgmSpEGFBDkSDFarVk1dr59fdzsM1ImIKgkLK6Dj5Lzzuz4HcrMMvUVEJkOav/3777+qckgqjPRmz56tDm5XFD45kUjc9RO+X/4DKkWQ9eKLL6oGCLLjLB3d9B577DGsX7++rLfPJEkzj5sNfamdngQyN7vv33//Xei+x44dUwugFb1fefT8l0CrpGV+ev3790d8fLxqVCJlnTJEdnZ2iR6vX+z6dgtNy/2SkpIQHh5+w23yWpcuXbrlwtlERGQEmj0BOPkByWHAMZZ4E5WG7Kc1aNAg//KOHTvwxhtvqEoimWYj+2OmThtxBkk7f8D2v9dUjiBr48aN+OCDD1R77aIpTJk3RYCDg8NNh62tbYnvW3Sl75vd716Tkjz9YswFM5wyR2vatGm47777UL9+fSQkJJTqeeUPg/zBkPlhxQV4+pbxUpYoQaHcr6iFCxequWGSUSMiIiNmZQt0uL4W0L+fAJocQ28RkcmqWrWq2j+S/acFCxao/fJvvvmm1AfMjUnfnt3h0LA7LKsbdy+GMguyZAe2YAZLTyJmWdOIKscXWY6gyDpVMTExKpvm5uYGDw8PfP3112q+3pYtW1QTjNKQ55Q2pTKfqnPnzli3bh0uX76s2rPPmjVLtWwXQUFB+PDDD9Viym+++abKfEn26pNPPsFrr72mylaNvTkKEREBaDkSsPcEEq8Bp0zzaDWRseybSWMwaTwm65rKfvkzzzyj9qdMtYTw4Z4d4d3/Zejq9kB0SlbFD7Lkl/X999/fUFYmO73du3cv6+0jI1SlShW1MN7rr78OHx8flZaWboArVqzAoUOH1Jdbyko/+uijUj93mzZtVI2xNM+QPw6SERswYIDqOihBld7kyZNVRx2pSZZJn/KaP/74I7788kt8/PHHZfwTExFRubC2B9o9l3d+52cyOZdvNNFd6NGjh+oULQeepdpJmmQ88MADqiuzqbGztoC7Q171VEJayaaeGBMz6eNemgfIAmhSDtaiRQuVrdDvAEvEvGvXLtSsWRMVicyBkk52MgdImjkUJO3YZfHk6tWr31AGWNYkkJVtkW0orr05Gd69/DyQcZN/zCQTK82Bis53JKIiMhKATxsB2anAsNVAnd737C3id5UqspCQEHVQesiQIap3gpDdfkmQmIoWb/+NuLQs/DGhE64c3WUU/67eKjYoqNR765IxkHKuTp06qfItKR+Utt0SNVe0AIuIiIjKmZ1bXtmg2PVfxQIR3R392qYSZOktX75c7b+HhoaaxNt7Ys4TCP74YVw8f+umaMbI8k4eJNGbzIUhIiIiumvtxwP7vgKu7QJC9gOBbfimEpURfeZKOjBPnToVYWFh2LZtm5pe8fTTT5tEZksH01PqTJY0JpCF0IqS65YuXVpW20VERESVhbM/0PSx/+ZmEVG5dIfesGED2rVrp0rexo4di169eqmpDsaq0aTFCJy8EjVr10WFD7JkoTNPT88brvf29sb7779fVttFRERElUmHSXLMHTj3FxBteqVBRKagYcOG2Llzp2qMIUsF6bsRzps3zyjbvVvaOcDcxgEWFhao8EGWLEIsE/uLax0ptxERERGVmlcdoN4Deed3z+UbSFROJGCRLtCyRE7Xrl2Rnp6OF154AQcOHOB7bsggSzJW8ksp6tixY2qdJCIiIqI70unFvNPjK4Ek05iYT2SqZLkc6RQuy98Y6xqjkTtXI/HfHxATFYUKH2QNHTpURbtbt26FRqNRQ35BkyZNwuOPP14+W0lEREQVX0AroFpnQJsL7PnC0FtDVOHJskDPPfdcoTVGr127pjoQGkOFWtTOn5G0+yfEx8WiwgdZ7777rop0Za0sqeWU0bt3b7X4GedkERER0V3pNDnv9NASID2ebybRPTZu3DisXbsWjRs3Vi3fS7mkbpnyaNEbjs0fgIurKyp8kCWdSVauXImzZ8/ihx9+wK+//opLly7hu+++U7cRERER3bGa9wG+jYGcNODAN3wjie6xzz77TCVUpAPhU089pRYyjo83zAGPwN5j4NH7efj4VUGFD7L06tSpg0cffRQPPviganpBREREdNdkzZ6O17NZ+xYC2el8U4nuodq1a6sOhO+88w4sLS3VMk2S1dq+fbvBfg86E1wp644WI5ZVoiWNKLWasrBZQdISkkxDZGSkasn/119/qd+pLDItkyCffPJJjBgxAvb29obeRCIiqowaPARsfgdIvAYcWQ60HWvoLSKqVCS4euutt9C3b1+1X3ju3Dk1NeiPP/5Av3797tl2mBn/OsllF2RJP/0BAwagRo0aqmRQeutfvXpV1Wu2aNGifLaSytzly5fRsWNHuLq6qrl0coTCxsYGJ06cwNdff40qVaqo3zMREdE9Z2EJdHwB+OtlYPc8oNUowMKKvwiie6xVq1Y4dOgQJk6cqE4l0LqXjn44DNkp8TjXbTNsUMHLBadOnYpXXnlF7Yzb2tril19+QUhIiOqzL+WDZDqTGuUoxcGDBzFkyBDUr19fBc7STUYyW/3798/PTEoA5uDggMDAQPW41NTUQh1o5L5ubm7qPrLI3bp16wz4kxERUYXQ7AnAwQtICgZO/27orSGqtGT/TnovSAmh7PsL6S6+a9eucn9tnVYDyDBBpQ6yzpw5g+HDh6vzspOekZEBR0dHVbf5wQcfoDKTbF56dm65jYxszU1vK03nl7i4OGzcuBHjx49XX5zimF3Pz0prz7lz5+LUqVNYunSpatf/2muv5d9PniMrKws7duxQgbd8BuTzQEREdFes7IA2Y/9bnNiAHc6ICHBycsp/G2bNmoVOnTphypQpyM3NLbe3p+H4L1Fl3FJUr1W34pcLyk65fh6Wn5+f6iwo2QsRG2t6PezLUkaOBg2mbzDIa59+pw/srUv267x48aIKyurWLfyB9fT0RGZmZn7wJAHT5MnXJx8DqFatGt577z21nsIXX+StXyLz8gYPHqyyXUKyYURERGWi1Rjg30+AiGPA1Z1A9c58Y4kMTPYhExIS1PkPP/xQVUWtWLECXl5eZf5aNk4esNRlwsrKquJnstq1a6fShUImvskK0RLNjh49Wt1Gpmv//v04evSoCpolOyX++ecftSaazNGSIxjSylMyYenped2eZGFqCbxkfteMGTNw/PhxA/8URERUYTh4AM2G5p3fM9/QW0NE16udPv30U6xatUolX6TKqWXLljhw4ADfn7vJZMkcHf2cnJkzZ6rzsm6WtHus7J0F7awsVEapPGi1WqQkp8DJ2UmV8BX32iUlHQTlCyKdYgrSZ6FkgWkhDU2kRf/zzz+vAml3d3cVYI8ZM0ZlM6X74NNPP40+ffqoeVxSgijdCufMmaMmSBIREd21duOBg4uB8+uBmPOAVx2+qURGQHoxNGjQAIMGDcL58+dV+eCXX36pEi9lJWrv70hKSUHcIzUqZiZL5uToy8hkHpa+NEyi14ULF6rshTTAqOzrZUngIiV75TXsrC1uept+DlVJeHh4oFevXpg/fz7S0tJuej/pIiPBnQRNkqWUtdHCw8NvuJ80xJASQlmYWjKbixYtuuP3kIiIqBDPWkDdvnnn9y7gm0NkRKT6SSqhpHGaHICXA/NykL6shG37EYnbliA2OgoVMsh66aWX1KrPonr16oiJiSnv7aJyJnOqZKKitOaUTKQ0NJHM1vLly1VrfgsLC5XxysnJwbx581TL92XLlqmguiCZs7VhwwZcuXIFhw8fxtatW1WnQiIiojLT4Xp1xLEVQCr3QYiMiayzKgfapcLt22+/VXP4y4pHk65waNQTzq5uqJDlgv7+/ipTJXOwZLKbLFyrz2wVFRQUVNbbSOWgZs2aOHLkiFojS9ryy+9U1smStK+06JdW7VIOKCWg0gBD7tOlSxdVDqjvLqlv4SlNMuTxzs7OuP/++1WdLhERUZkJag/4twDCDwMHvgG6T+WbS2REZCrL9OnTC1136tQpFYAFBATc8fNWe2AcIpIy4VclANdiyi5DZjRB1rRp09QcmwkTJqiytNatW99wHwm+5DbZ6SbTIN0hJUsl42ZefPFFNQqS5hd6t3osERFRmZCS+A4TgJ9HAwcWAZ0m57V4JyKjFBERgb59+6q4YP369flTjSqTEgVZY8eOxdChQ9XCs02aNFEd52ReDxEREdE9UX8g4BKUtzixlA22GsU3nshIZWdnqwonyWZJJZQ0SOvQocMdP58pLpNX4u6C0r5b5tosXrxYnUoWhIiIiOiesLAE2j0HbHgD2LMAaDFCapT45hMZoapVq+Lff/9VXap3796Nnj17qqlHkt0qjWOfjkZmUizOd1kHW5iWUv11kmYIzz777E3nYxERERGVm+ZPATbOQNwF4MJGvtFERszNzU0t7yPz9TMyMlQHwj///LNUz6HJSocuOx1anRamptSHgBo1aqQ6zRERERHdU7bOQMuReed3c04wkbFzcHDA77//rtbUko7VgwcPxrZt20r8+IZjP4X/M1+heq06FT/Ieu+991T3OYlEZVKbtHYvOIyRtBfv3r276pwnE+9utTYUERERGbG2zwHmlsC1nUD4EUNvDRHdhrW1NX744Qe1aLHsi0vCpqRs3f1g5V4F1jY2FXdOlp60cRcDBgwotACuMXcXHDlypAoOO3fujPj4eNWqnIiIiEyQSxWg4SDgxCpg93zgkW8NvUVEdBtWVlb46aefVKJDyghLqmCsUeGDLFls1pRIVxP5xUqAJdzd3Q29SURERHQ3pJ27BFmn1gA93wZcA/l+EplARsva2jr/8urVq9GxY0e1Hu/NRB/agJSkZCTE1USFLxfs2rXrLUdp7dixA/3791dvsESrv/322w33WbBggVo92tbWFm3btsX+/ftL/PwXLlyAo6Ojeo0WLVqoxXeJiIjIhPk1Bap1BnSavHWziMikLFy4EEOGDFH757eaxhO8aTHiNy1EZEQYKnwmS4KiW5Fe+KUhb2zTpk0xevRoVatZ1MqVK/HSSy+pX4YEWJ999hn69OmDc+fOwdvbW92nWbNmyM3NveGx0tFErpcWkkePHlX3lw4nsphyr169SrWdREREZETaPQ9c/Rc4tBToOgWwdjD0FhFRCfXu3RteXl44fPiwmtazatWqYksD3eq1Q0piAhydXIDE1IodZHXr1u2G6wq+KaWdkyX98m/VM/+TTz7BM888g1Gj8hYdlGBLFjT77rvv8Prrr6vrJIC6mSpVqqBVq1YIDAzMn1Mm979ZkJWVlaWGnr6Zh3REkVGQXJa5aFqtVo3yJK+jP73b1+rRo4cKbD/99FOUB/ldJSYmYs2aNagorl69ipo1a+LQoUMqqC+O/F7k9yOfC1nugCov/d+Kon8ziKgMVb8Plq5VYZZ4DZojP0Lb4nrXwVLgd5XIMAIDA/Hzzz/jvvvuU6dStSbLRBVV86FJCEvMhK9/ACITw4zi39WSbkOpg6yEhIQbXujIkSN46623MGvWLJT1atGyUzt16tT868zNzdWCZnv27CnRc0jWKjo6Wm23i4uLysQV90vUmz17NmbOnFlsVsze3r7QdZaWlvD19UVqaqra1nshJSXlrp9DsnuyveXVDVI+E/Iaxtpt8k7I71ifeb3ZzyXvqawDIZ+x4jKrVPls2rTJ0JtAVKHVcOiIxonXkLb1U2yN8JKjvnf0PPyuEhnGU089hcWLF6uqNUnaBAQEFLo9I0MOWpth3/59qOpoHN/V9PT08gmyJFApSrJCMpFN3iAJispKbGysyoz5+PgUul4unz17tkTPIYGQzMOSMkbJMkh6UlafvhkJ6OTn0JMdaom25XHOzs6F7iuLMoeEhKg5XzJfrDzJtkuA5eTkdNedVuQ9kd9X0Z+nrEijEXmNsnx+CWAKTpa81+R3rF/v4WY/l3we7Ozs1GetvD8PZNzkQIP8QyB/G+X7QETlJLMTdPN+h3NmGB6o7wBdjRurbW6F31Uiw+rbty/Cw8OxYcMGLF++XDXYK1gN9OGZHUBWJtq2aYvI0/uM4t/VkiYRSh1k3YwEPjJPyhjdriSxIGnvXlyLd/mFFv2lSgAoAY9k12SUJ32JoP717pZs+wsvvIBly5apn+v555/HO++8o55frvv888/V71OCCikvlLlw+jlw+q6NU6ZMUVkbCQClhG7JkiWqpE6eo+B2HjhwQJVpyvpq8hghLfXnzp2rMj+PPfYYPD09sX79+vzST6nPlZJDyURKCll+J7Le2YkTJzBp0iSVyZTMoixqJyWl+iBIylllW2R79R566CG4urqq7RPSRGXs2LG4ePGi6mwjrUSnTZumrtOT5iqS8Txz5oxaz+HNN99U19/qdy3Xy89d3GeFKid+FojK+0vmATR7Etj/FSwPLgLq3tl8a35XiQxn0aJFaNiwIfbu3Yt169YV6tFwbP44ZCbF4nKXX2FvJN/Vkr5+qffWjx8/XmgcO3ZM7Rw/99xzN52rcqdkx1ui2aioqELXy2Up0zNWUlImQz+PSp+JkesKzvcqeN+C86zkyJpcJ5mRktz3TixdulRlmySYkIBKApVvvvkm/znfffdd9buVbo8yH0mCHr2wsDCVrZHAZ8uWLSp7KY1LiiuRk9vlqIOUkuoDLFmQTi5/8MEH6rFBQUH48ssvb3js5s2bVaAnGQFZ/Fp+dml6IkGRBG4SIP3zzz+YMGFCqX/+OXPmqLl6Uuo6btw4FWTqDxJIaaBkO2XBPNm+t99+WwWIRERkhNrKFAAz4MIGIO6SobeGiEopMDBQBVqyr/fwww8Xui0nNRGa1HjTnIahKyUzMzOdubm5Oi042rdvrztz5ozubsjmrFmzptB1bdq00U2YMCH/skaj0VWpUkU3e/Zs3b2QlJSktktOi8rIyNCdPn1anRYk95cRHR2df917772nrnv66acL3dfe3l5df+XKlfzrPv30U3XdsGHDCv3cHh4e6vqTJ0/mX//111+X+mfq2rWrrn79+jqtVpt/3ZQpU9R1xTlw4IB63ZSUFHV56tSpuurVq+uys7OLvf+IESN0AwcO1P366686R0dH3YoVKwrd3rZtW9348eMLXdexY0dd06ZNCz2Hj4+PLisrq9DP6ubmpktNTc2/7q+//lKfx8jIyPyfbdKkSYWeW7ZFnk+vatWquieffDL/srwP3t7eui+//FJd/uqrr9R7XfD3KrfJe3DkyBHdzdzs80CVj3w3fvvtt5t+R4iojC1/VKeb4azT/fVqqR7G7yqRcWv+4rc6v1Fzdf+eumY0/67eKjYoqNSZLCnZunz5sjqVce3aNTUBbPfu3ahXr16pgzzJGkiJmL5MTJ5TzgcHB6vLMj9KolvJvEjplmQcJKOh7zZId6Zdu3aF5na1b99erSkmZYSSvZF1CyTDJHPA9Ouf6X8n8vuRxZ1vlS7dt28fHn30UVV6KOWABUnGqE2bNoWuK3pZNG7cuNA8LPn9S1dEKWHUk0XsJLNX2lLVJk2a5J+X90Eyo9IgRf86cnvBeVXy/hARkZFq91ze6dEfgMwkQ28NEd0FiQ30jd7sfarB2rsGbO0KN58zBaUOsqpWrVpoSIrvbib5Hzx4EM2bN1dDH1TJ+enTp6vLsoP+8ccfq8tSjig7+FKeWLQZhrF9OGRIuaPeq6++qq6bP39+ofvKjr1cLwGN3vjx49V13377baH7SvmeTLarX79+/nUFy/jKgpQoSkmeNHeQsj4py9O3Ytd3UJTmDrcjc7Mk6JZW+3da0lgwmCopmRdVsExTFPf6RQNECbTKuw0/ERGVkxrdAa96QHYqcOQHvs1EJmrhwoUqtpCpLAUV3berUEGWNBqQWsmCvv/+e1SvXl01RJCmAUXnG5WENCqQN67o0DcpEDLnRjJm8vySIZFFiY2ZBAcyCmaKJCMj1xVtqqG/b8FmChIAyHVFg9eb3fdOyPtYkEw2rF27turaGBcXh//9738qWyWBkj7DoydZHlng+VbBkwSYMh9LmkvIit4F71u3bl0VvBVU9HJxJLiUQLPgyuC7du1S74c8p5CF7SIiIvJvl8zcyZMnb/vcRV9H5hsWnBMn7w8RERkp+fdWzc2SzkVfAdrSrdlJRMbB2dlZNT6TpITs98ce34bU45uQGB+HChtkSec56SinJ13exowZo9askkWB//jjD7XGFJkGKf2TrKGU2f3000+YN2+e6tonGTUJCOWylIWuXbtWNcEoSIJeyag9/vjjKhMpZYZSFli0ZE+Cbwm0JHAbOnRo/qTFiRMnqiydlIDKY6XToAQ1t2tN/8QTT6jAc8SIESpwkjaf8lyyxoI+symdEGWxahnyulJeKl/W0hg2bJjaFlkE+/Tp06rTjWRTiYjIiDV5HLB1BRKuAuc3GHpriOgOyFSTKlWqqCZ3v/zyC67+9RXi/v4c4aEhqLBBlpTpyarMeitWrFAZJZkvJTvr0o571apV5bWdVMaGDx+u2qfLXCgpT5QAS7KRkgmSLKJ07pPuepLRKhpgeHh4qOBJShplvlbLli3V56C4rJrMdZL7SlAuQZJkluRU1iOTjn0tWrRQ8/Ck7PF2ZafSsl3WUYiPj1et3R955BH1mSxYgildDiUIk59Ptq1GjRro3r17qd4baQcvBw1km6V0Vdq3SydEIiIyYtb2QMsReef33dixloiMn5WVVf5UmJ9//hkutZrBrkYrODqVz9qu5clMul+U5I6yAyxZB6mTFJ06dVJrT+nXD5I239KoQD9RraKQjI0swJyUlFTsYsQSIEjJZHkvPivzhWRbZBvKe00uQ5A27xKQSUbMVN3LzwMZNymPlQyorA9n6PU8iCqVxBDg86aATgM8vxvwaXjLu/O7SmR8jh49qg5yy75Uyxl/IjQxE6vGtkHEid1G8e/qrWKDgkq8ty7lWLIDqW+AcPjwYdWhTk+CK0P/0GQapBulrMsl5adS0jdjxgy13pVkoIiIiO6YayBQ/8G88/sW8o0kMkFNmzZVDdTk4LXsM5qqEgdZEjnK3CtpeCClXlK6JY0R9GROjbwhRLcj853kKL8saCylhlKaJ3W3Mr+PiIjorrR9/vqOySogzfQmyxNVdmZmZhg8eLA6X7DZmamxLOkdpfnBoEGD1DwXmbMiTQsKrmEkrbp79+5dXttJFYi0gJfMFRERUZkLagf4NQUijgFHlgGdJvNNJjIxw4cPVz0A3vtiFjKS43Chy49wRAUNsqQl944dO1T9oQRZFhYWhW6XRglyPREREZHBSKfaNmOB38cDB78FOkwEzAvvsxCRcWvYsKEa02fPQW5iNHKysu9gdV/DKvXmykSvogGWcHd3L5TZIiIiIjKIRoMBOzcgMRi4sJG/BCIT1WD4O/B54iNUrVEbpsbEYkIiIiKi27CyA5o/mXd+/yK+XUQmKCwsDGYu/rANqA8HE6yWY5BFREREFU+rMVI7CFzaDMRdMvTWEFEp/fTTT4iMioSpYpBFREREFY97daB2r7zzB7419NYQUSlJB+rMa8eRduZfJCbEw9QwyCIiIqKKqfUzeadHlwPZprveDlFl1Lx5cyTt+gmxaz/AuTOnYGoYZBEREVHFVKsn4FYNyEwCTqw29NYQUSm4urrC2qcGbIIaI1O6C5oYBlmVWGRkJCZOnIgaNWrAxsYGgYGB6N+/PzZv3px/n927d6uFqN3c3GBra4vGjRvjk08+gUajMei2ExER3Za5+fW5WVIyuAjQ6fimEZkQz97PwXfobFQJqgZTwyCrkrp69aqqdd2yZQs++ugjnDhxAuvXr0f37t0xfvx4dZ81a9aoxacDAgKwdetWnD17FpMmTcJ7772Hxx9/HDr+Y0VERMZOugxa2gKRJ4CQ/YbeGiK6A6Z4eKTEixFTxTJu3DiYmZlh//79cHBwyL9eFn4bPXo00tLS8Mwzz2DAgAH4+uuv829/+umn4ePjo65ftWoVHnvsMQP9BERERCVg7w40fgQ4sjwvmxXUlm8bkanQmWJ4lYeZrLL+IGSnld/ISb/5baX4EMbHx6uslWSsCgZYBWtgN27ciLi4OLzyyis33C4lhXXq1FGtNYmIiEymAcap34DUaENvDRGVUPI/XyL8uwlIT06AqWEmqyxJEPS+P8orGna91R3eCAesbwyYinPx4kVV6levXr2b3uf8+fPqtH79+sXeLo/V34eIiMio+TcDAloDoQeAw0uBLq8aeouIqASy4sKQkxAJczMzmBpmsiqh0syl4rwrIiKqUNmsg4sBTa6ht4aISqDe41PhPeRdBNWoBVPDTFZZsrLPyyiVA61Wi+SUFDg7OcFcuiUV99olVLt2bTUfSxpZ3IyUA4ozZ86gQ4cON9wu1zdo0KDEr0lERGRQDR8CNrwBJIcB5/8G6vfnL4TIyFl6V4edszl0YCarcpNUppTsldeQQOpmt5Uijeru7o4+ffpgwYIFqsFFUYmJiejdu7e635w5c264fe3atbhw4QKGDh16128ZERHRPWFpA7QYnnd+/yK+6UQmIDoqbw5lVFQUTA3LBSspCbBkras2bdrgl19+UUGTZKfmzp2L9u3bq4YYX331FX7//XeMHTsWx48fV23fv/32W4wcORKPPPIIhgwZYugfg4iIqORajQbMzIEr24GYc3zniIxcZtgZpF86gLSUZJgaBlmVlCxAfPjwYbUu1ssvv4xGjRqhV69eaiHiL7/8Ut1HAilZHys4OBidO3dG3bp18emnn+LNN9/EihUrVMkhERGRyXANBOr0/W9uFhEZtbhtSxHz80xEhIbA1HBOViXm5+eH+fPnq3EzElxJu3ciIqIKk8069xdw7Eeg6xuG3hoiugVrjwBoHN1gY2sLU8Mgi4iIiCqPmj0A1yAgMRhmZ9YCcDL0FhHRTXjdPwFmLr4IqOYKZMfClLBckIiIiCoP6dDbYkTe2SNLDb01RFRBMcgiIiKiyqX5U4C5JcxD98Mpw/TmehBVNrqSL/FqNBhkERERUeXi5APU7afOVovdauitIaKbSNmxGJHLXkFGShJMDYOsMqAzxfCayhw/B0REJqTVKHUSGL8LyL5xzUgiMryMqCvICj+rVl4wNSa4ycbDwsJCnWZnZxt6U8gIpKenq1MrKytDbwoREd1O9W7QuVaDlTYDZqd/4/tFZITqDX4RXoOmIahaDZgadhe8mzfP0hL29vaIiYlRO9bmMpm2nGi1WhXMZWZmluvr0J1lsCTAio6Ohqura37wTURERszcHNoWw2Gx5Z28BhitRxp6i4ioCJsq9WHvBphZmN4BbAZZd0EW45W1pq5cuYJr166hvHfkMzIyYGdnx0WAjZQEWL6+vobeDCIiKiFtk6Ew2zoL5uGHgYjjgF8TvndERiQiIgJmLn6IjIiAG0wLg6y7ZG1tjdq1a5d7yWBOTg527NiBLl26sBzNCEkmkxksIiIT4+CFcJdWCEjcBxxaDDz4qaG3iIgKyIq6BCTGIL1Fc7jZwKRU+CArJCQE3bt3V6eSeZLz69atK9NskJTv2ZbzStS5ublYtmwZunbtWu6vRUR3JysrCz/99BPuu+8+HhQhMvLv6nfHdZgeBOD4KqDXO4ANFycmMhZxm79FbnIMgpvNx44j/5rUv6sVfnJPUlKSmsckp5cuXcKWLVuwdetWk/yHYOXKleqUiIwbv69EpvNdnbH4H2hcqwPZqcCJnw29SURUgKWLN6w8gmBmbm5y+8EVPsjy8fFRZVwSaHl4eKjz5RkBL1iw4J48hkzzPTTEdpbna5bVc9/t89zp40v7OFP5nBkzU3kP+V0tn/fGWL+rmQ2H5p2RkkG64/exMm1jeb1uWT6vIf5tLevvqne/SfB/+gsEVKsJk6MzsO3bt+sefPBBnZ+fnyw2pVuzZs0Ntzdq1EhnYWGhbq9du7Zu3759he4zf/58XdWqVXU2Nja6Nm3a3HD73LlzdU5OTmp4enqWavuSkpLU68ppSdSvX79Uz1/Sx8TGxqrtkFMqm/e9smxneb5mWT333T7PnT6+tI8r6f35fS2799xQ+F0tn/fGWL+rcSHndbp3PHW6Gc46XeihO9rGisgUvq+G2sbyet2yfF5D/Nta1t/VoGe/1lWd8qdu/qoNRrMfXNLYwOBzstLS0tC0aVOMHj0agwYNuuF2mT91+vRpPP/88yrarVatGvr06YNz587B29tbpQ4nTpyouvwFBATgwoULaN++vWpGIaWB0o3vzz//xJEjR9C/f3/Y2NjkN5AoTnJyshp6iYmJ6vTq1atwdna+7c8jc73kvqVRksckJCSobQ8ODkZKSkqpnr8yuJP3vbJsZ3m+Zlk9990+z50+vrSPK+n9+X0tu/fcUPhdLZ/3xli/q9diUpHq3QPm59ZB+/fn0PacWeptrIhM4ftqqG0sr9cty+c1xL+tZf1dzU1NgJm5NeKizY1mP1gfJ2g0mlvfUWdEistkSWZq/Pjx+bf/8ssvOn9/f93s2bNvuF1oNJpCt69atUr37LPP6jp37qz7/vvvdR9++KHugw8+uOk2dO3aVb0OB98Dfgb4GeBngJ8Bfgb4GeBngJ8Bfgb4GUAx78H+/fuNO5N1K9IW/dChQ5g6dWqhTn49e/bEnj17bnu7kOyWZLvGjx+PYcOGYcCAARg7duxNX3Pt2rU3ZLIaN26s1sJycjJcxyFp4S4NO6Q7oql0VSGqrPh9JTIN/K4SmYYcI9oPlkxa9erVUatWrVvez6iDrNjYWJWKk+YVBcnls2fP3vZ2IbdLoPTxxx+rIYHS7Nmzb/qaUhJYsCxQf97d3b1E5YLl+eGyt7dXzTsM/eEiolvj95XINPC7SmQacoxoP1j/+rdbH9Wog6yy0KlTJymJNPRmEBERERFRJWHULdw9PT1VlBgVFVXoerns6+t729uJiIiIiIjuNaMOsqytrdGyZUts3rw5/zqtVqsuSwfB291ORERERER0rxm8XDA1NRUXL17MvywNJo4eParmQAUFBWHcuHF45pln4OXlpW7/6KOPkJSUhF69eqnLL730EkaMGIFWrVqhTZs2+Oyzz1Rb+FGjRhnsZyIiIiIi0yNz+WX+DxmXnJwcWFpaIjMz8/at08tgztXt5luZRJB18OBB1SlET4ImIYHTkiVLULVqVfXGzpgxQ12/d+9edTpv3jx1+2OPPYaYmBhMnz4dkZGRaNasGdavX39DMwwiIiIiouLI/H3Zj9Svj0rG9/vx9fVFSEiIWlurvLm6uqrXu5vXMniQ1a1bt1s2prjd7WLChAlqEBERERGVlj7A8vb2Vl3s7sWOPJWcTAeS6jdHR0e1XFN5kZgjPT0d0dHR6rKfn5/pBllERERERIaiX+5HAixpEU7GR4IsWR/X1ta2XIMsYWdnp04l0JLPxJ2WDhp14wsiIiIiovKkn4MlGSyigp+Fu5mfxyCLiIiIiCo9lghSWX4WGGQRERERERGVIQZZFcDVq1dVxF1wSJrT398f9913n+q8eOnSpXu6TbIN0rSEiIiIiO4d2f+aPHlyhX/LzczM8Ntvv8FYMciqQGrWrKla3cuYNGkS+vbtqybtvfvuu6hbty7eeOON23ZqJCIiIiIqTTCjP+Ava92WxtU7fJwpYHfBCqRWrVp4++23b7h+586deOqppzB79mzVIUWCLiIiIiIiKh/MZFUCnTp1Ugs029jY4MMPP1QLuQkJyOTowbZt2254jCz0LLfJaUFbt25VGTIpRZTnk0WfO3fujK+//lrdLs+lnyy4ffv2QiWMRZ+LiIiIiO5cWloahg8frtaPkjWd5syZU6JMlCy2q98vk9bost6sPF5apFetWlUdmBfVqlVTpw8//LB6Hv3loqpXr65OmzdvXmjKiFarxTvvvIOAgAC139isWTO1T3q7xx04cAC9evWCp6cnXFxc0L17dxw7dsykPirMZFUSUi44ZMgQLFu2TH3RJk6cWOrn+Ouvv9C/f3/1xRw4cKD6MsbExKgPvTzv2LFj1ZdPyhVnzpypvqQjR47Mf7x8sYiIiIiMnUyvyMjRGOS17awsStzd7tVXX1UHtX///Xe1ppNMDTl8+HCp9rnmzp2LtWvXYtWqVQgKClIH4/UH5CXYkeddvHgx7r///puuGbV//360adMG//zzDxo2bAhra2t1/eeff64Cv6+++koFUt999x0GDBiAU6dOoXbt2jd9XEpKCkaMGIF58+ap38XHH3+s9mPPnz+vgi5TwCCrEpGjAxIMyRfmTsgXQz7oks1q2rRpodvi4uLUqQRZkiGTIEt/noiIiMiUSIDVYPoGg7z26Xf6wN769rvoqamp+Pbbb7F8+XLV6EwsXbpUZY1KIzg4WAU8UvkkwZ0cJNfz8vJSp3KA3dfX96bPob+fLOZc8H4ff/wxpkyZgscff1xd/uCDD9R+5GeffYYFCxbc9HE9evQo9PwSpLm7u6uAUoI0U8BywUpESvxEbGxsmayEXRBXSCciIiK6d6RztJT6tW3bNv86CUSkeqk0pOpIGk/I41544QVs3LixTLYvOTkZ4eHh6NixY6Hr5fKZM2du+dioqCg888wzKviTzJUEeRJU6jNspoCZLCoxOQrx66+/ol27dhg2bJg6aiLzsaReloiIiKiikJI9ySgZ6rXLkmSninaXzsnJyT/fokULXLlyBX///bcq25OyvJ49e+Lnn3+GoYwYMUJVSUm5oWTWrKys0KFDBxVUmgpmsioROZog9KnZ0nr00UfVfK7GjRtj4cKFGDRokKrTlWCrIrbeJCIiospJrTlqbWmQUdL5WLJ0jwQf+/bty78uISFBzVsqSPb7IiIi8i9fuHAB6enphe7j7OyMxx57DIsWLcLKlSvxyy+/ID4+Xt0mr6HR3Hp+mn4uVcH7OTs7qyqqXbt2FbqvXG7QoMFNH6e/j2TV+vXrp+ZqSdMM/dQUU8FMViWi7yLYunVrdWpunhdj5+bm3nDfpKSkYp9DGl7IkAmJ8gWQzJbUA8tkyLNnz6p0LhERERGVL+koOGbMGNX8QqZtyIHvN998M3//ruD8pvnz56N9+/YqmJE5UhI46X3yySeqmZk0ppDHrl69Ws2P0u/TyRz7zZs3qzI/CXbc3Nxu2BZ5bZlOIp0DZU6Yra2tKvOTbZOGaBIQSjMOaaAhB+Z/+OGHWz5OygSlj0CrVq1U2aE8T3HTVYwZM1mVhBzVkK4x8uWQNpxC/yUJCwu74f5Hjhy55fM5OTmpwEpat0str9TOFjySIl/S2x31ICIiIqI799FHH6mpG9L9WUr8pHlFy5YtC91HuvsFBgaq+8l0j1deeQX29vaF9ulkiR8JaORAvCwQvG7duvxgTR6/adMm9RwSiBXH0tJSdSmUBhWSvRo4cKC6XrJRL730El5++WVVCSXBlHQylCDqVo+TA/iSlZNSRlnrVVrMm9z0FB3dUlJSkhSxqlNDys7O1v3222/qtKgrV66obezTp0+xj925c6euWrVq6j4zZszIv37Pnj3quh49eug0Gk3+9bt379ZZWlqq2xYvXpx//fbt23W5ubk3PP+DDz6o7rtt27b86zw9PdVrElVGt/q+EpHx4HeVREZGhu706dPqlIyTRqPRJSQkFNpfNdRnoqSxAcsFK5CLFy/mt0yXiYHR0dFq/YETJ06odQ2mTZumUrZ60sBCUr9btmxRKeQuXbrg2rVraq0FOSKyZs2aQs8vRyNkXpccJZHUsdQM79y5U72GPJdcXzA1LZmzhx56SB31kNeXlptNmjS5h+8IEREREdG9xyCrgrXylPWphNStSi1tvXr18NZbb6kuLVIPW5QEVJLG/fPPP1UwJutf/fHHHyqYKhpkTZ06Vc3BOnToEDZs2KDqeSXYkjUPxo0bV2iBOukGIySAk+eTFb+l1pZBFhERERFVdAyyKgAJdIq25iwpmSgpC9cVR+ZaFSRdZ2SUhEyYlO40RERERESVDYMsEyGZoN+PhGLDueWwt7OHo4M9XJwc4O7sBB93Z/i5OyHA2w3ujrYlbv1JRERERERlj0GWiYhJToeZNgdZqUlqJMQAxa15rTOzgIW1DWxsbFXJoJOjA1ydHODp6gRvV2f4ezoj0MsVTnZ56xIQEREREVHZYpBlIlzsbdGwmh/8q9ZCQkqaGimpaUjPyEB2ZgZyc7Kg1WhgptNAm5WODBnJQHwUcK2Y59OZW6lgTNYjkDaeEoy5OzmqYMzXwxkBnq6o4uEEmzJedZyIiIiIqKJjkGUibK0tUdPDFv26NCm0gFxBKemZCI1JQnhcIqITUhCbmIqklFSkpqWrYCwnKwOanGxotFqVFdNm5iA9MxXpiUAsgCtFnk8HM8DCGlY2trC1s4WTgwOcHR3g4eIEHzcn+Hm4INDLBV4u9ixRJCIiIiK6jkFWBeJkb4v6VWX43PQ+0iAjLjkNYTGJiIhLRkxiMuKTUpGUmqaCsUzJjGVnQpOTA60009BkITc9C6npSUiNAyKKeU4t8koUrW2uZ8Uc7OHmnFeiKPPFqqhgzBUOtsUHh0REREREFQmDrEpGmmJ4ujiq0bTWze+Xm5uLqPgUhMYmIiI+GbGJKSoYS05NR3p6OrKkRDE7C7maXJhDA112OrJkpMQjAUDwTUoUJStmY2sLB3t7uDg6wM3FCd5uTvB1l7liLvB1c4KlRd4K40REREREpohBFhX/wbC0RBVvNzVulRVLz8xWgVh4bBKiVDCWisTUVKRKMJaRjuysTGiys6HV5ZUo5mbISEFaAhBd3HPCDOaWNrCSuWJ2dte7KOYFhZIV8/dwQYCXC9wc7fibIyIiokqtW7duaNasGT777LNyeX5ZzicxMRG//fYbKoqrV6+ievXqOHLkiHrvDBpkzZ07t9RPPGrUKDg5Od3JNpEJZcUc7GxQN9BHjVu1n49NTkNodCIi45MRlSBZsRQkpaQhLT0dmZkyXywT2twcFWbpcjORnSojEYkxQGixLy4liv9lxaRxh5Qoel0vUVSNOzydYWPF4whEREREdG+VaA908uTJCAgIgIVFyTrNhYSE4MEHH2SQRYq5uTm8VQv5WwfdWdk5qjRRmndExCchLjEFCcn6EsUMZEnjjuwsaLUaQKeBJisN6TKS4hBzk+c0s7SGlXVeO3t7ezu4OjnCw8URXm7OqOIpWTFXeDjZqW0kIiIiovKVnZ0Na+uKv5RQiQ/zHzx4EN7e3iW6LzNYdCdsrK1QzddDjVuVKCalZSAkOhHhccmqi2Lc9axYSloaMlQXxSxoc7PUfXW52ciWkZ6MpJs07jAzN4eFlWTF8gIxfQdFCcT8JCvm7QZ/dydYcK4YERERGRmZRz9hwgQsW7ZMdaB+/vnn8c4776iKI7nu888/x7lz5+Dg4IAePXqo0sKC+/SnTp3ClClTsGPHDrXvJCV0S5YsQc2aNW94rQMHDqBfv3545ZVX1GPEe++9p6reZB/sscceg6enJ9avX4+jR48WKjls3bo1FixYABsbG1y5cgUnTpzApEmTsGfPHtU4bfDgwfjkk0/g6Oh401LIhx9+GG5ubmr7RLVq1TB27FhcvHgRq1evVrdNmzZNXae3f/9+PPvsszhz5gwaNWqEN998E0YTZM2YMSP/By6JN954A+7u7nezXUTFkj8Yro72ajSu4X/Td0mj0SIiIQWhMYmIik9CdEIq4iUrVqBEMTc7EzpNLnRaLXKz0tVIS4LKil0q5nVlrpi1rWTFpDxROig6wsvVWa0rJlmxQC831WqfiIiITJsEGxqNxiCvLZVjst9RUkuXLsWYMWNUMCFJEQkwgoKC8MwzzyAnJwfvvvsu6tati+joaLz00ksq6Fm3bp16bFhYGLp06aICmi1btsDZ2Rm7du1SgVtRcvugQYPw4Ycf5gcxP/zwA2bNmoUvvvgCHTt2xIoVKzBnzhw156mgzZs3q+fetGmTupyWloY+ffqgffv2KnCTbXv66adVsKgPoEpKXk9+Rok/fv75ZxVkdu3aVf3MqampqrquV69eWL58uQruJLAzqiCrNKZOnXqn20NUJiTrFCDlgJ4ut7xfakY2gqMTEKoadyTlNe5ITlHt7POyYhnQ5mbn/bHNyUSGjJRExEcXv8iz+fXyRNvrTTtcnaU8Ma97ogRiQT5ucLa35W+ZiIjIiEmAJZkRQ3j00UdVA7KSCgwMxKeffqoCMwksJEMklyXIGj16dP79atSooTJOklGS4EMSKJJZcnFxUcGRfh3WOnXq3PAaa9aswfDhw/HNN9+obJXevHnzVIAnvRjE9OnTsXHjRvX8BUkWTR6rLxNctGgRMjMz8f3336vbxPz589G/f3988MEH8PG5+Vz/oiSzNm7cOHVesmvys2/dulW9Fz/++KPqDfDtt9/C1tYWDRs2RGhoqArEyluJf4MSCV++fFltsJDUnkSfdG/9suMYXJwc4O3mqHbcfVzZ8vxuONpZo0FVHzVuJisnF2GxSQiJSUJkfBJiElJUIKZvZ58tgViOBGJaFZBlybhenhhWzPOZmVvC0toGNnb2cLS3h7NTXnmit+qe6Iwgb1d4OjtwnhgRERHdVrt27QplvmT/XLI7EihKyd7bb7+NY8eOISEhQQUcIjg4GA0aNFC3d+7cOT/AKs6+ffvw559/qizRQw89VOg2KUPUBzh6bdq0UVmvgho3blxoHpaU7jVt2jQ/wBKSCZPtk+csTZDVpEmT/PPyPvj6+qrMmP515HYJsAq+P/dCiYOsESNGqBTkI488gvfffx8vv/wydu/eDVMgHwzZXvnFSYQr6UhTpNHq8M/2XdJ/L/869ZWytIallTX8/fwwfeQD+bet3HYEzvZ211ufO8HL2YHziu6AdCis4eehxs3IZysyIQXB0UmIiJPyRFnkWQIxKU/MQFZGhsqE6bQa6LS5yMmUkYbUBCCyuCc0M4ellZQn6ueJOeaVJ7o5wU8Wd/Z2VYs8c00xIiKi8inZk4ySIZS00dztSKZISvJkSFmfl5eXCq7ksjSfENIY7HZkbpaHhwe+++47PPDAA7cMyG7GoUAwVVLSlEwqiYomfYoquj0SaOmDSUMqcZB18uRJnD9/XpUOSmrRVEhNqdSfStpQ0qEtW7ZUk+bkw2JqsjU62Dm7qS+GJicLOk1OXriVm42c3GykpKYVmpO0acuOQgGZhGRSziZZlMAqfnjjqb75t/y68wRcHe3yy9qc7axLVQ9c2ckfAlnDS8atxKekIyQmUWXGpDwxTsoTU1KRlpaOTClPVPPEcgCdFrnZMm8sA+nJQGwxz2Um/1lZw9rGTv2R1LexV+WJHq5qcWdZU8zepuJ38CEiIipLsg9UmpI9Q5JMU0F79+5F7dq1cfbsWcTFxeF///ufKikUkjApSLI8MqdLgpebBU/SyOLXX39V87aGDBmCVatW5d9XKtxkTpWUEurJ5dupX7++mnslc7P0AZjMBZP9KX3VnASFERH/tSyTzJw06ShpIz7960jzDwk49dkseX/uhRJ/evz8/NTpzJkzMWzYMDVxzBTIJECpv6xSpYq63LdvX1UrOnToUJgaOytzfDJpaP4HOzsnV2VPIuNTEJOYAhdH+/z7pmRkwd7FDdlZWSog02pkAqNOdd3Lzs1CQtJ/jUxyNVqs27ilcEBmZgFzyaTY2CCoih+mDOudf9Nf+87A3dledd6T8jZry7I54lIZuDvZq9H0Fk070jKzVfdECcSkPDE2MUUFYinXF3jOlTXFpDxR/svJQqaM1EQkxADBxTyfuYUVLPXzxBwd4OLoAE83ZxVQy5y1qj7ucLK3Kdefm4iIiMqHZKckoSAd9A4fPqzmSUm5oDS/kBI9ufzcc8+phIk0iChIGk3I7Y8//rjqqSAJCQlCpORPH+wICWykBLB79+5qH1rmcEkQOnHiRDX3q1WrVujQoQNWrlyJ48ePq/lft/LEE0+oxI1Uykk5Y0xMjHqup556Kr9UUDohys/1119/qUYa0nBDuhSWhsQs0k1QtlF+PlmI+OOPP4ZRBVlSJylZIXlDFy5cWChiLU/STvKjjz7CoUOHVDQrE++K1oNKZk3uExkZqeo75cMiHw4RHh6eH2AJOS+dVCoCaytLBHm7qVGUZKXmvvzf7ygjK28NKlkMWNqeuzr9l7ZNTsuArZPL9QWBs/NSrDoNtNnpyMxOR2yCXaGAbM1fGwoXLKqdeBvY2tigaqA/Xnq0R/6t245dVOtSVfFwhpujHbNjJeBga416Qd5q3ExOrka1sA+OSURkXKKaJybdEyWbqdYUy5R5YtLGXgutJgfZGTJSkBwPhBfzfGYWMk8sr3OivmGHp3ROvN7CvpqPm9ouIiIiMi6yTy7NumTfV0oNpXuedP+TbJxki6TrnjS8aNGihQowBgwYkP9YqeyS4OnVV19VHfnk8dI2Xfb7i5K5TnJfyWhJkCRNJeRUejZIS3fJFkmmS7oX7t+//5bbLC3bN2zYoLZVGnEUbOGuJ007ZC6Z/HwSf0igKK9dGtLc448//lCPbd68uZqHJo015LXKm5muaLGjkfn7779V+lDK/KRtZNEgSyJmefMl8Gvbtq3qpS/dYGTSnETdMklv27ZtqmOJkGBMPnTyYShOVlaWGnrJyckqxRobG6taTxqKpHGl7aW0oLyTWtiS0q9DFRGfiqj4ZMQkpcLTxRHdm9VSt8clp+GdRb8gVxYFzpVyxcIfH3dvf7z/7MN525yrwQuzF/53DzPzvOyYNH2wtUH1AD881/+/L/GB8yHwcnFUa1JJAEl3R4LlmKQ01TlRAjIJxGRx5ySZJ5aWjqzMzPx5YiWRF4jZwdbOFo4ODipQ93R1go+bZMRcEeTtAnsGYvf0+0pEd4ffVRISHISEhKg1lwo2SKA707t3bxWQSefAstw/TUlJUWvx3ovpLPKZkKyXxABFPxMSG0gJZVJS0i1jgzsKsiQ7tHPnTtW5o+jEshdeeAHlRd7UokGWBFYSAeuDKNkeeUMk5fj666+r5hwSWMnjxOTJk1WkL+nD4kjKUkoii5JoXaJsKtyIIzVLg6RMDVKztUjLzoWTjSXqeedlvlIyNdh6JgLQ5cq344a3ztLWEf0aeqnzuVod1h25mn+bzsxC6txgYW4BS0sLuDnaom2QU/7tUSnZcLKxgK2lOczNOXfsTmm1OmTkahGfoUFShvwec5GRpVEdFXNyc6HV5gKaXJgVCaZvRn5v0j3R3NIC1paWsLG2gIO1pfpdudpZwt3OElYW/H0REZHxkCyJBAWy/1iwAx7dnnRZXrx4sSrtkyzYL7/8osr61qxZU+qskzGR/gcSeEuVXNE1w+RnljiizIMsSTtKzad8CCXFWDCalPOSMrxXQZa8ARL4FG0pKfWdUrP5+++/qzdGJr1JNkvf+EICr5s1vqjsmazykpKehbC4vFLF6MRUJKSkws/DFQ+2a6Bul3ll73y1ArpismPCw8cfs8bmZcgkAJj0v6/UeTMzc1hYydpUNupIg72dHWoG+mHYfS3yHxsak6CyLVacO3ZH5MBFfGoGgqMSEa46J6YgLikVyamp6g+NyohJww5dyTr5mFlYwcrGFra2ec06XK5nxPRNVwK9XGFvY3qf8Yr0fSWqLPhdJcFM1p2TMsWBAwfiyJEj6n2UeVxSnjho0KAy/XCZYiar1DVZb731llpoTCaPSQcQQ5LARzqNFO2lL5elo4r+6IRM/pOJerKz+Nprr92ys6CNjY0aRcmOkjHsLBnLdpSWu4sV3F3+a7ZRVKCPOxZNH6fmfEUlpiA8NhlRCSmq6UNCShoCfTzyf+7o5HRZ9RfQ5qod+9zsTDUyUpOQcD0Is7q/rbqvnH9v4Y+q1b2ZpZVqi25zPRiTuUd1q/phcJdmhRYnlrWzqDA/GxsVFN+MfLdik9MQLA07YhIRlZCMuMQUJKWkXQ/EpFNipuqaKN0Ts9Nl5M0RC7vVos72dnBycICbixO8JBCT9vVeUproBltr4y8pNdXvK1Flw+9q5fb/9u4CPKprawPwNxN3d08I7l7cobRQdy/VW7vVv9Td21u97b29dS9tqUALtBSKFXfXuCczkYnPzP+sfTIRCJBAZJJ87/NsRnJm5mSEnDVr77XkWFIO3OW4tr2PbTsaqQz4xx9/tPrjWGpmztlep9YmjyGP1dj/DU39u97soxQ5YJIKJB3pTSgL/Oov8iP7JX2fpP+TjOORn33wxO0oKq1QmZXMmuqKqhx6SQliw+oKRkj1RSnOoSrxVVehUkZZCYoNQLZ8G1Fiqg2yyiurcdfz/1aVFaWQhxzku7m7wkMaBnt6oGd0KGaO6NWgTL6DQ8f5HLQm+f8g2NdLjaHdtTKxx1sjlpxtUK+brPmTXmKFNSXsK8ull1jFsU2d84C04wViLlqxDq18vRTr8EJ4oK8qXS+BmPQ4IyIiImprzT4CmTNnjiosIeud2puk6mT+Z3a2HC7Xkcsyt5Y6N293F3i7B6Nn1PGr8MUE++E/j9+hgi0piZ5jLEaeQaYrmlQBiITIuvdJZkGhdsZqRnWFlEovRVkxUFDz85y8/NogS6o13v7cu9A5SJ8qyY65wcNDmgZ7wN/bEz2iQjC2X1zrPgEdMBAL8ZNCGXVr6xoLxHKMJiRlG5CZZ1RNnfNtTZ2PF4iZimDMA1Ibe0xH55qGzhIoe8JfCnXItMQAX8SE+iHUz6tDfWFEREREnTTIev7553H22Wdj0aJF6Nev3zEps/qlF1ubrAuTNVZLly6tXZMlB2lyWer+E9myY9IPSsaJxIb445UHbkZGXiEy8wtVZUVZeyRT3kpMpegWU9cKID2/UJv6Vl2OChmmQhTlA7aWeQeTo2qDrNKKStz54gd168bkgN/DTWVepLx9YmQw+sdrfei6Ogl4Qv1lfZYEYtGNbiOfcQmaZWqivFY5Bq2ps6wRM5WWqUCstnx9dSXKS2QUoiAHqCutUkOnV6XrJUjWStd7aevDAnxU6fo49hAjIiKitgqypK69rUHZ0YUvWlpJSQkOHjxYe1maIG/duhX+/v6qyZo0KZNCF9IETaoGSgl36R593XXXtfi+UOcm71/p5SWjT+yJM6GSIXvoliuRmV+3dsxYbEKxSetTFR2mVU0UkkGz1jSBriwtUuuQsurdV1BYFPrfekFtQHbPa5+qg353N1d4ebjXBmPBfl6IDwtotC9aVwvEwgN81Dgemcop00hTcgrU82+bmmgr1iGBmLW6UgXKtqylqTAf2RnAvkZK1zu5uNVOS/SX9WF+3ghXjZz9VPl6FlUhIiKi0wqypIjEhx9+qBqNtYWNGzeqohU2ElQJCayk0uEll1yiukRLMQ4psygN1CTLdnQxDKKWJAfVCeGBapyMHITfcOm5qiqfrZCHNv2tDGXl5QgNrAua0nILUVVWokaJAcg56r6Cw6Pw/C1aQGYqr8RD73wDNyni4ekGX09PBPh6qgIR4QFa7ypvj67Z70PWysm6LBnHU1ZZpSomJucYaho6F6k+YiUlJpSXSeAlFRPNsJqrVZEOGYX5x64P00Gn9X9TU0bd4ePlCT8vD+RnlyLkQBoSwoMR4O3GaYlERERdSLODLKm811gX6NYiNfZPVmVepgZyeiDZKzcXJ5zRO7ZJ28o0ufNmTlOFPFTj4GKTmgInJVIrKyvg5123nkkyNCWF+SgpBHIbua/g8Gg8f8v5tQHZUx/8qKbE+ahsjAeCfL0RKsFYgDf8vNy7XBDg5uyEHlFBajRG/t/JLypFck4B0nKMyCqQiolFNYU6ylBRXgqrTEuEVTV1LpNRbEBevTTl+1//pE510u9NpiVKNqxmWqJkw+T5l8ykZMTcXVjVkoiIqMsGWXfddRfeeustvPnmm62zR0RdmLe7a23vsJMJ8HbHuNGjVc8xtW6stBRlpeWorJS+VRXqYN4mLdeIvOwM5B3nvsIiY/HMTefWBmSvfLW4JhjTMmNhskYpwAf+XSgjI9NHA3081BiS2HjFRGk5INlHyYZl5Ek2rBAFah1fMQqNhdBDK1lvtZhRVW5SQzKUsnZvz3GqJbq7e9ROS1RFOgJ9ERvmjzAW6SAiIjv3xBNP4Mcff1RLe4TMfJPetXLdiRIqMhNNlvx06SBr/fr1+PPPP7FgwQL06dPnmMIXP/zwQ0vuHxEdR4C3B66ZPuy4WRgJAGx8PN0wcOCgmnVjpSiVzFiFFoxJvzEP97pphak5RqQcOdT4g+r0iEvohkeunlkbkP3nl1Vq3ZgtGIsK9EGQj3ubNAu0h6IqsaF+ahzd4PTXX3/FzJkzUV5lQVJ2gQp0M/MKkWcsgrG4RBVTqSgrrW3kXL9aoiEXSDnqsVTjbdU7rC4IC5a1YUF+iA3xUxkx2R8iIup6ZMnMs88+i4ULFyI9PR3BwcEqcPnnP/+JyZMnq23WrFmDZ555Bn///beaIZOYmKhqGEgCRap1t4Y33njjpDPSOqtmB1m+vr4t3sWZiFqWaqDnWPcfppQqv+P88Y1uW1xW0SAgc3d1Qly3HioIKC2TIhHlqJZpceZqVSjCUV93vyk5Buzasf2Y+7RKQODkgl7dE3HPxZNqi3p8v3IbQtQ0RWkq7ANfD9dOH4x5ubugX1yYGicuW68FYjkFkg2zNXI2adUSqyu1xtsVpSiRYchFZiqw6+i1Yc7STsAdnp4e2pREXwnCtObNEghySiIRUeeTlJSklvLIMfrLL7+sqn/Ll31SqO62227D3r17MX/+fFx88cUqqFq2bJnaVpoIP/DAAyro+vbbb1vl77GPz4krO3dmzQ6yPvroo9bZEyJqF15uLg0uywH5I1efecx2krWSIMDdtW7tkGROgsMj1TTFiooylRkzm6uhk8xMZRkqq6pqt5UmxMtXrG54pzoHODi7wNnFFQN6JeLGs86obQy9eleSKuARHewLj3qP2anL1veKaXQbCVCTsgwqqM3INSJXsmFFxapIh6wNs1TWrA2rLEepjKIC5GQA+4/bN0wLwgL9vLXsY7Cfqlzp00ULpRARdWT/+Mc/VIAks808PDxqr5cZZ9dff72qun3jjTdi9uzZ+O9//1v78xtuuEEVipPrJciSYnKVlZWqyNz3338Pg8Ggfn7LLbdg7ty56jYpKSm44447VLsk+fs1Y8YMtYzoeAXnrj1quqDsy6233qpmvnl5eeG+++5DZ9XsIEtKqFdXV6sUY30HDhxQUwdjY5u2wJ+IOhYJdHoc1fg5MSIIz99yYYPrTOUVap1SRn4Rwvy8a6+vMlvg6eOPipppihaLWTV+NkvT54pSFBiLarc9nJmPL+cvqL2s0zvC0bmmgp+bGwb3jsdF4wepn1VWVSMl16j6oLk6N5y+3FlIBqp3TIgajZFMpARg0sQ5I9egmjhLNqxYKiWWmhpMSazfN+zw8crVu2tVEgN8vRHirwVhcaH+CPLx6DJr8oioi5MpblWl7fPYTu4yJaVJmxYUFKiq2jJVsH6AZSMZK8li5efnNxrQzJo1C927d8dXX32lgiypufDzzz+roEtaJaWmpqphm3lxzjnnwNPTE3/99ZeKByRTJrdbvnx5k/b3/vvvV7f96aef1JTGhx56CJs3b1ZTG9HVgyyJSCUqPjrIWrduHf73v/81+Ukmos7Jw9VFBWNHB2T948Lwxr1Xq/MyP7vQVI60msbP2YYidI+sCyBKyirg6OwGc01TYaulGlXlMkwwGYHDPnVVFg+k5+G1D79W5/WOTnB0cq1p+uwGb08PDOkZiylDetT2z7JYrZ2ur5VkFCUTJeNEDZyTsgqQmmtEdr42JbGoWOsbVl1Rpp7jBuXq87KPXRdWUyXR1dYzTKZ+ShAW4o/4MH81LZVBGBF1ChJgPRfePo/9UAbgfGzA1BjpJSt/U3v27Hncbfbv1+Y19OrVq9Gfy21t20imSo7xx4wZo7JjMTF1Mywke7Vjxw6VcImK0gpCffrppypjtmHDBgwb1vg68fq9bz/44AN8/vnntevEPvnkE0RGRqIzanaQtWXLlkZLuI8cOZJl1ImoSeQ/bl/V28sNfRtp/Dy8ZzSGP3KzCg4MJWUqGMvIK1S9xgqKSjAwMbp227xCk/aNn9UKS3UVKmWUFaPIoDV9lseyBVl7UrLx+kff1FTyc4GrZMZqgjF/b08MSIzGkO6RXbKBc0FxKY5k5avCJ1n5hcgzFGotBEwmVFXUrAurVyWx2JCLjFRgZyNBmJu7B3y8vVQmTNbfRYf4o1t4gCrWQkRELac5RSWasq0kU6ZOnYoePXqoqYBnn302pk2bpn62Z88eFVzZAizRu3dvlS2Tn50syDp06JCajjhixIja6/z9/dVjdUbNDrLkgKW4uPiY6wsLC2E2m1tqv4iIVHAgB+YyBsQ3/o3i+AEJGNP3DuQWmbQAwVCEXAnGpJR6iQm94+uCJpnCKH9izNWVapSbimHMB9Jrfp5XVFIbZO1KzsYbn82Hs8rcuKkeY75eHqrhc7CvN3rGhCAmuGFVwY7M38tdjeOVq5c1eUcy89XUzMwG68JKUFEmQVhFgyCsqCAH2gSTY6cjurt7wlfaA/j5qDVhMaEBSAgLUEVCiIjsgkzZk4xSez12E0nWSY7NpbjF8ch0QCGB0KhRo475uVwvwZIYPHiwylT99ttvqjCGFMuYMmUKvvvuu1P6VbqyZgdZ48aNw/PPP6/mbtrKPUpwJddJapGIqK05OOjVVDUZJzJpUCJ6xoQiPU+aCxerYMxQVKyCMWkwHBdeN8UxLdeg1jKVySgxqrLq9YOGHr1644HLtG/39qbk4O1vF9dOUfT2dEdBdim8diYhJtQfkYG+cHFy6PBr8vrGhalxvOIchzPyVYGT9DwDcgu0IMxkKkGVVEiUfmH1piMa84Cko+5DZRhdJaD1hK+3J4L9fVV1xFg1HTEArs7N/pNFRHRqZIZEE6fstSfJBE2fPh3vvPMO7rzzzmPWZUnRCclEyXavvvrqMUGWrL+SugpPP/107XXe3t5qnZWMCy+8UGW0ZO2XTDe0rdGyZbN2796tHsMWpJ1IQkKCqt8gS4xkvZeQ4hoyVXH8+MYrIHdkzf6L9eKLL6pAS1J7Y8eOVdetXLkSRUVFqn8WEZE9r12KDvJR42RG9IqFq/NsZBdIb6ti1WOsqMSEstIyVUkxNMC3dtvk7AKUFeWjrAjIr3cfX8xfqE579OqDBy6bWlvU46OFq+Dr5amaPUuvq4hAKS7hC39Ptw5b0l6Kc5woCJM1eIcy8pGSU6CKc6h+YUXFKDOVqumIsiZM9QorkVGI/Gygfrc2eVb0TlL8RErUy3PnheAAX1WUo1tEoGqWLcE2EVFXIwGWLOUZPnw4nnrqKfTv318Vpfj999/x7rvvqkzVf/7zH1x66aW46aab1PIeCaRkjZUUopBASjJW4rXXXkNYWBgGDRqkZpPMmzcPoaGhakqgZLSkPPwVV1yhGgfLY0hlQwmQhg4detL99PT0xJw5c9RjBgQEqMIXDz/8cKddy9vsIEsi1e3bt+Ptt9/Gtm3b4Obmhquvvlq9YBIlExF1BtLDa3z/+CZt2zsmFJPGjUa+sUQ1Gi4uKYHBYISDTpuaGOjjWbvt/rRcZKQcQWOTUGRN0+CBA/GPc7UvsFJzC7FgzXYE+nqptU1SQVFGRyzcIeXhBydGqNGYXKMJhzLzkJpToJo25xuLUFhcjHJbYQ6rRRVCKZNRbEBuJrCv/h3o9NpURA9ZD+aNID9vRAb7Iy4sAAnhAewRRkSdVnx8vKrQJxUG7733XmRmZiIoKAhDhgxRQZaQQEr6Y8k2kiQpLy9XUw0lyJGGxbYv+KSs+ksvvaSyWzJjTdZZ/frrr7WBkFQFlBLuknCpX8K9qV5++WU1zVyqGspjyf7KkqPOSGdt4oq5Dz/8UNXRDwwMRFciGTpppCZvAIn624s0lZM3+cyZM1WqlYjsV/3Pq17vgGqLBS5O2ndaO49kYuGabdoURcmKlZWhWkqsS0l7AKNHjsD1M7V+Yb+t34PvFixucN8qo+PoDEcXV4wdNgCXTRqirs8tNGHTvpTarJiPR8fNih1NCqBk5BfXFOYwICvfqEr+F9WUqLfI86dW2x2fNMd2cfOAt5cXAvy8ER7oh+gQPyRGBCPI1/6nBFHr4N9WEhJwyDqkuLg4VZ2W7PPvQFFRkToWb4vM14neE02NDZqcyZJyi5ISlAVxUiNfxonKRRIRkbZerP40tuNNqSsurVC9ruof8Hu5u8I3MAxl5TKlrhyWqkqt6XBN4Y6y8rpmzxv3pTQIyCS4k0bP8sfBzc0dE4f1w7ShPWqLWBQUlapmzx1hip38QY0M8lGjMRVV1WoapqwJk7V0uQVGGAq19WBaeXqzyoKVyigqQFY6sOuoghwyDdHDwxN+PpI19FVZsPjwQMSF+HWI54iIiOxLk4MsWW8li9MWLlyoFslJutHWJVoCLil60VnnVBIRtTaprNfnqHL2Y/rGqVG/6XBmfhFS84zqtH+9iosWK+Dg6qEaPUPWN1nMsEhwVl6KYmMB0nPrqiz+tf0Qvl+wWGW69I4ucHKRvmLuqoKin7cnxgzojsHd2qk/zCmQLGGv6BA1Gvv2M9NQjINpeUjJyUdmnpYFkymdlWWlWml6czUqTEVqSJPmQwfqbq/T6eEgZellGqKXlyrGIX3BEiKCVFl6W4aSiIiovmb9dfDz88OVV16phtS5l8BLAi5ZAFdWVqamxkjQdeaZZzbadZqIiE6vcIdMBZRxtLNG9FJDqN5iuUak5xWpRs/5hSUY3L2ut5ixuFSdymxxc1W5GuUlRhRII0oJ+GT9VE2Q9dv6vfjutz9VICal7L08PODr7YFA1YjYG/3jwxDm335TqU9GvvyLCPBRA0g45udFpeU4kJ6LI5k1BTlUf7ASlJtKVHVJWQtWXVGKYhkFuUhLBjbX3FYHHRxc3FQA5ufjjZAAP0SHBqBbeKCqhiivFxERdU2n/BWcs7OzWuwm49///jc2btyoAi4pASlVTB599NGW3VMiImoSP083Nfodp9Lf5ZOH4IJxA1QQlibl7PMLkWvUytkXl5Sie2RdRiirwAiYK1FVKqMIxfloULQjY9QZuG6G1lhyxY7D+GHpWnh6esDX0wOBflogJuvEpAy7PfbB8nZ3Vb3BGusPVllVjaRsAw5l5CEtx4BsmYZoLIKppARVFaXHBGApR4AN9TNgLm7aFETVlFkCMH90jwxCdBCnIBIRdXYtNs9BSjfKkNKRspCUiIjsl0xziw+T/lMnrgp7/tgB6BsXjoz8QuQUFKGgsBiFxVK0oxQV5WWICKzLqh1Kz0FxgQwgs5H7mjB2FK6aOlyd33owHX9s3I0AtQbKRwViMSF+qmCHvXB2clRBkYyjmc0WJOcYcCAtF8nZ+cjOlwCsUAVgtRmwchMKZeRnI+kQsLZeAOao1oBpRTgkAIsJC1CPExHQNou6G5NZWIYNSQYczi1BYVkVKqotqKy2wMPZAb7uzgjwdEa0vzviAz0R4ecGB33nKKxCRGQXQdY999zT6PUyt18WWEs5SJkyyHLuREQdnwQ9w3rUTTU8kRG94mAxW5BXWKKm3JlMpSgvL9OCDosZgT510wo370/Fnt31y0/UFeyQyomzJo3GzBFac8sjWQXYk5SF8JpAzNcO+olJMQyZEijjaLJ2TgpxSAAmJemz8w0wFBahzGSCuaYcfVVZCYwy8jLVGrDV9cr4O7m6w8vLG4F+PogMCUB8eBB6xwSrrFtLkyDq+81p+GJdMnamFzX5ds4OesQEuKNHqBf6R/qgb4Q2vF1Z/ZaI6JSCrC1btqha/GazWTUkFtKpWWrpS7VBmToogdiqVaua1P2ZiIg6h94xIWocTdZ+FZSUwc257k9OZIg/QiJiYDKZVKlcKWNvK9hRWWZS2R6bZZv3Y/XatQ0DMWdXuLi5wdPDA7PHDcHwntG1VRrNVqvqc9ZeZC3W8TJgUgnxYEY+DqXnIjW7ADkFRhglACst0UrRy+9fWox8Gdnp2LcXWFpzW2nG7ObhCV9vb4QE+iE2NBDdo4IQHxpwShUQ1x3Ox9z5O3A416Tdvw7oF+GjAqcgLxc4OzjAyVEHU0U1DKVVyCuuQHJ+KY7km1RwdiCnRI0F2+vylnGBHuo+Bkf7YnCMH3qFecOJa9OIqAtqdpAllQQlS/XRRx/V1oaXOvE33HCDqjB444034vLLL8fdd9+NxYsb9nchIqKuR7JOAV7uDa6bNqS7GvVJwY6UbAPS8goxrHvdGiknZwc4unmiuqJeIFZuUqPYkIeCYq3gh5i3fDNWr10nzcRURszVVQvEfL29EOTrhUmDuyO6kcIhbTlNs09MiBpHK62oxMH0fBxUAVg+cvKNKCwqQnlpCazmKliqKmAyyshHesqRugIcNdMPpbFngJ8PIqT8fFgQekUHw9+78SJUX65LwaM/7YTZYkWgpwtuGR+PCwZHws/D+aS/g9wmw1iGQ7kl2JVRhB1phdiRXoh0YxmO5JnU+HmbtnLP1UmPAZG+GBLjp8agaD/4N+ExiIi6XJAlnZp///33Bs23pCHXE088gWnTpuGuu+7CY489ps4TERE1t2DHgISG5eOvmjJMDVsgJg2J03ILkV1QhDxjEXrVC1iMxVpWRoKx6rISlMgw5CILwF4AoQHetUHWl0s3YeXGbaqPmLenJ/x9PBHs542wQF/EBPupvlxtWSHQ3cVZVWuUcbQcYzH2JOfgcGYeMnMLkG+Q9V/FtQU4ZPphgYycTBzYByyvuZ00rnZ194SPqn7oi5iQQGzNqcBH6zJhhQ7nDAzH0+f2bdY0P1mLFeXvrsaEHsG11xeYKrEzvRDbUo3YnGLA5hSjWtu17kiBGjbxgR4qy2ULvLoFeULP9V1E1NWDLMla5eTkHDMVMDc3V3VAFr6+vqrEOxERUWsEYvV7hNV398WTYSwZheTsAqTnaYFYvrEYxuISlJhMDdZQpWXno9JUpEZhHpB61H1dNGsGZgzrqc4v2bgPG3YfRqCvlwrEIoJ8VcXEQB/3NilUESyP6+uF8QMSjqmAKNMPD6TnICVLW/9VWKhlv6QHmAxpwCwjMxXYWnO7ic46dI8IwqhwLxzeu0t9cSqZMDl1cTm1KpCSoRrXPUgNYbFYcTjPhM3JBmySkWLAwZwSdZ2M7zalqe28XB0xMErLdg2O9sPAaF+u7SJqogkTJmDgwIF4/fXX+Zx1humC119/PV599VUMG6Z9s7hhwwbcd999OPfcc9Xl9evXo3v3htNAiIiI2mJqop+XuxoDu9U1YG7MeeMHY2d0KLLzC5FfWIwiKdZRWorK8nI1NS8q2K922637k3H44D4cPvrx9Hq1Puza86ZjZK8Ydd2upCykZBcgMtgPsSF+8GqFghX1KyAeby1cfpEJe1JycDgjFxk5BuQZjSgpLoajuQIJge4I9dYhPT1dDZkCWFxeBVOFGRa9AyyObhjRI0L1/pLAq0LnDLODC6IDPOHq5NCkfZPsVLdgTzUuHqZN/zSWVmKLZLpqAq+tqUYUl1dj5YE8NYTUNEkM9lQBlxoxfir7xWwXEXXqIOs///mPWm916aWXorq6WrsTR0dcc801+Ne//qUuSwGM//3vfy2/t0RERC0kMSJQjcZUVZuhr1fBsHd8JErLK1BUYkJZaSmqK8pgMVfBarGgqrwUXm512Z+Fa7Zj397dtZcdHBzh5OKmNXP29MBVZ45GQrj2uKbySjg7SoGJpgUuzRHg7YExfePUOLoQSWlpqZp9Itm8XzYewv60XDiay+Gi0/6uAwYEOFYgK007TJB1VodyTSizOkLv4g5PTy+EBvojISIYfeNC0SfSH86OJ8/oSSn4iT2C1bBVYtybVYwtKVrQJVMMUwpKsT+7RI2vN2j5RR83JwySYho1gdeAKB94sZIh0WlRDenNZnUcTy2v2c+qp6cn3n//fRVQHT6sfacXHx+vrreRtCUREVFHdXTQc/bI3mrUJwGSNCtOyzHWBk3CzdUFjq6eqKooh85aDbO5GubSYpSXFsOYD5RXjazd9p0flmP/3j2qcqCzqzQv9oCPlycCfKV/mK+aHtjSlRIl2yePsy2zDHcuyEReiRwKhKkCGH3DPBClL8AQ00qMLv8T7rlJcKw0orrajBK9C0xWVxirvJBhCEZGQRD27A/H8mUBGNsrEjGhgWqNdpHZCXB2w+BuEfA+Sd8zWfNmK/9+1Rmx6rrc4goVdEnAJRmv7ena2q7l+3LV0H4HoEeIl8pyaYGXr6ps2N6l/anzsH0Z0R7c3d1P6b382Wef4Y033sC+ffvUZ3zSpElqGmFwsPalxvLlyzFx4kT8+uuveOSRR7Bjxw4sWbIEQ4YMwS233IIff/xRZa4feOAB/PTTTw2mIVZUVODhhx/GV199BaPRiL59++LFF19U0xWpcaccukpQ1b9//1O9ORERUYfm4ercaKXAO84fD2C8OkjLLy5DUpYU6jAi21CIPEOxmkJoI2vFrLDCXFWOMhnFBuRlAYdqft4tPAC+HqHq/P8W/o1dB5Ph6+2JQF9pYuyD6BA/JIQFqOmRzT0oKyqvQkWVBT1DvfDY2b0xMsoN+lWvAX+/DVSXN9hW8nQeKAFqHmKwlBGpOV8EDxjTEpFX0A057t3xd4E30gor8LlUF3R1g6+vVDwMQGJkMHrHhiDAz++E676kfPy0PqFqiCqzBXsyi1TAJYGXZLykkqFkwGRIpUTh5y7ZLi3g0rJdvvBw4Tf0dGokwKqfQGhLJSUlKkhqrqqqKjz99NOqxZLUT5CWStdee60Kqup78MEH8corr6gkiZ+fn9pu9erV+PnnnxESEqIK2Em7pvpJk9tvvx27d+/G119/jfDwcMyfPx8zZsxQgZr0yKVjNel/n/PPPx8ff/xxg4qCJ3LFFVeoTJctciYiIupqJOgJ9HZXY2j3iEa3eeqGc1XJ+uQsKdRhRK6hEIbCEjUtsbzMhNhQ/9ptD6VmoCg/C0X5gBZW1JFelffNubS2N9ffu5ORW1iiCn3IlEgpHX+0GX3DVAZJMliulQbgk7OBjJrC8KH9gN7nAmEDAa8QWXwGlBcBZQbAmAzk7gVy9gAZW+FtNsHbtBXRJq2sxhi9N7bpu2GnJR67yhOQmVWGzKwsbNy+Cw46HcYmBsLD3U1lvZzdPREaGAA/P19VNKuxaUvSZ6t/pK8a147WrsspKq+tYKhluwpVL68/9+aoIaRgYY9QbxV0SfAl0w1lbRezXdRZSc0EGwmg3nzzTVU/QYK2+gHjU089halTp6rzxcXF+OSTT/Dll19i8uTJ6jpp0ySBlE1KSoq6Tk5t10sthkWLFqnrn3vuuTb8LTtZkCUpQ6ke2BTyzd0vv/yiImkGWURERCf4I+ygV5mt+tmt4zlz1EDsPhKsytZLBsxUYkJVRZnqoSXrKiICfWq3/WXFJmRnaKGYDjo4OLvCzcMDXp6e6BcXivMnDFUBTaSfO1BZCnwyC8jZDbj5A7PfBHqerc3JO5nqChVoIWUNkPw3kLwanpVFGI3NGK3fDCv0SHdLxGZrL6wqj0ehQ7D6nWXqkXzTvjl5n8qoSQl5bzcn+Pt6IyYsENGhQSrokiEHh0dXcAz2dlVBogwhzZF3ZRRqQVeKAVuSDcgoLFcZMBlf1GS7fN2dVCXDwTVBV5/Q5mcLqGuQKXsSnLTXY5+KTZs2qZZK27Ztg8FggMViUddLcFS/KvjQoUNrz8vSH8mADR8+vPY6+QJEsmE2kq2S/2OOLmonn+OAgLqKrXQKQZYETqwWSERE1H7G9U9Q42hGUzmSsw1q+qKNt5c7DG6eqiiH9NGqrixDsQxDHnLSk9G/d0/0DNf6heV+fTuCcnaj0sUfyePehrN7X3gWFKiS7s7OJ2kc7OgCRI/Qxpi7gepKIOVv4OAfauhydiOybB8isQ+zpZGxWxh07tNgihiNXM8++PbAVqC6FKWmShSUmpCUb8LmQ5lwdtAjwMMZfSJ8VIAlB30ScNlOZbi6utZmpaTohpat8sMcaIU+sgrLa9Z2GbAlxaiyXcbSY9d2hbg6YFXlLgyN9Ve3Z98uqr92saMwmUyYPn26Gl988QWCgoJUcCWXj26r1NzfS4JNyZZLECen9bXXlMpOE2QtW7as2XccEdH41AgiIiJqOVIYw/eoBsYPXjFDnco32Sm5hTiQlqt6h2XlGVBdVakaHyspaxF0+Ht1dnXQFchKKgKS1qjLDpZKuDlaMXP2+XBw9VIRSV5envriVQ6s6gc5tRydgfjx2pj2NFCYpgVc+5cAh5fBoSQT2PIJvGQ4uOD7+LHIDhmPjU7DsCbXBQfTspGbb4CbuRyung7qgE6+QZdv5ZdsOaSCL8l4ebs6ItDHA0EB/mpNiW3IsgZb1ivUxxVn9gtTw5btkqyWrajGllQDUgvKkFWmw7xN6WoILxdH1avLNsVwUJSvqopIZM/27t2L/Px8vPDCC4iK0lombNy48aS3k2mFTk5Oqh1TdHR0bU/c/fv3Y9y4ceryoEGD1OdQss9jx45t5d+kiwVZ48fLIl4iIiLqSCTgOOF0xDVvqZOSxHMRNOBSuMmC+0MLkXjkY7hWF2nb7LkL0DsBbn5wdPDDbo8xSPYepgIgCbYk42U7TUhIaBh4+UQCQ67VRlU5kLwK2L8Y2L8IMKZAf/APhB38A7MAzArqBfSdjoqEadit7w7otSbF8i16UkYu/rtzNTx1FfAsroS7rgRINcLdKUsFXbKuTIIq2SfJdtUPvGxrvSTbJcUwZNjWdmUaSvDBj3/CIbgbtqYVYntaIYorGvbtEvFBHhgUJT27JOjyQ/cQTzXtkcheSIAkmee33npLVQrcuXOnWrpzMvK5lTZM999/P/z9/dVSn8cff1z932H7LMtsNqm3cPXVV6s+uRJ0yTKipUuXqiJ4Z511Vhv8hh0Py+4QERF1RUUZwL7f1FnPqQ+ib3Av7fp4X+Dfbzbc1lIFmHLgixx4+JyhrpJvtmUdV6/tnyPPLR65Pn3RLep+wMVL/XzdunUoKyurDcAky+QddgbcEyZDd+ZLWvEMFXAtBlLXArl71HBZ/ToGufoCiVOBwhnwSpiEHgmxeGGOjwqCZNrfjtQC5BuM8KqugGd5Jc7wcEGko6Pq35mbl49VO4+oPlrebo7q1MfbuzbokgNJv5oKhxKc9fO3Yua0RPVtfm3frlSjynjJNEPpEXY4Vxvfb05Tv5u7swMGREq2q259V4Dn8SsmErU2mR4oReoeeughVfBi8ODBqoLg7NkyUffEXnvtNRWYnX322bUl3FNTU1W22kYKXDzzzDO49957VQPzwMBAjBw5Ut2GGqezSt6/E5M3yVVXXaVSnPJN1qOPPoqLLrqoybeXZo3yrZikTptaXbE1yKJEKcE5c+ZM9YeAiOwXP6/UISx/EVj+HBDSF+h3ETD6rrpiF5nbAL9YwNkLqC4DyoxAaR6QdwCIGAKLb4xaA2Je91/4rnqq7j71jkDkcCBhElZkOCDDGgKrVCasR7JNsljeVslMFOekwC1jDRwP/QEc+B0oN9bdQG4fNRLoPg3oPgMI6qn201haiR3pWvZJgpwz4gNU1ksqK7748yZ46SrgpatUDZY9XRxVcQ0vN0f4ezjD3dkRbm5u6u96cnKy6ick3+DLdUcrMFVia6oWcMnYmmpESYWtaXOdmAB3NbVQKyPvh55hXqoyItm/8vJyHDlyBHFxcQ0Ci65KPtuy7EeyVnPmzIE9sFgs6pi8/pTg9npPNDU26PRBVmZmJrKzs1Wt/6ysLNVwTeaZNnXRH4MsImouBlnUIbw9DMjbDzh7ApUlwFmvAcOaeUBVlAkcWaEVuzi8HDAcafDjjIlvIMdnoPpbWlRohKm0TB0sSZA1bdq02u2kKrEESCrw8XRHmDkNwcYt8M76G06GAw0f0zcaSJyuBVyxYwCnhgdAKfmlKuO0Pc2ogrCiktKagKsCXvoKjI9xR4SnFkyWVVYjKTMP4UH+8HJzgoe7u8p0yf7JqYyje3qZLVYczCmpKaihre+Sy0dzddKjf4SW7bL175KqiGR/unqQtWXLFrWmSyoMSuAgJd6lcfHBgwdVxsoeWDpgkNXppwuGhYWpIUJDQ9WbpaCgoENVjCEiImpR0vNKAiwhAVbYAGDApc2/H+8wYMAl2hAFR1SBCxz6UxXVCD/jIoQ71/y9/eMJWFN+Q1X0eFSEjNXKvzu6qEIaauqhBD1lZWpkQzJKo4DgUQiPrcb4sHJtWqEEdMYUYMP7alid3KGLnwB0nw4kTgO8wxEd4I67p2qlpuW+s4rKVbZrR81Uw8lTEtE3zBNGoxE/r92Hjfur4G0ywUtfpYpeeLllayXlXR3hLpc9PY8JvHqEeqlx2fCaQgFlVdiWWlM+XmW8DCgqr8b6pAI1bCJ83WqDrqExfugT7s21XWQXZGrhvn371LouSUisXLnSbgKsjqrZQZYshpNmZzExMS2yAytWrMDLL7+sykJK1kk6SJ977rkNtnnnnXfUNpKJGjBggFrUV7+ef1PJY8h/5LaqK0RERF2STAdUJKNjBaY8CdiCodPhH6eNodfLV89SeaPuZ4f+hC53L5xlbPoPsMAdiB0LXbcpOHfcFFR6RmoZr5ohTVLl1FUO9IaPAIbfCEt5MVZ//hzCincg3LQd7lWFwL5ftSFZ5MDecOoxFZDAK2okdM7uCPNxU2N6n9Bj1rBExFSieqcBuyqcUVpeCc/KCviUlMNbXwFvXTFGRnlArzOp6VMHDieh2mKFh7OD+vbaFnTJqazxGtc9SA1hsVhxOM9UV8kwxYD92cVIN5apsWB7Zu3ariExfhgW64/hcf6q0IerU8MS2UStTQpZyDEytXOQJY2Jn332WVVxUOZpXnDBBcek0ptD/uOSwEkCt/PPP/+Yn3/zzTe455578N5772HEiBF4/fXXVc1/ibZtzY5lKqAsdj3akiVLajtTS/ZKqqK8//77J9wfaawmw0b+g7dN/5HRXmyP3Z77QERNw88r2Tt96gZoh/JWWAO6oTpqtLxxW/6BajJUymXfQXfkL+gl2Dq8FLqSbODAYjWsfwVC98/dagqODFjMgN7hmM9UpVkPXc+zsK9wDDYUFsKnPAURpp2IMO1AQHkynPJ2AzJWvwGrgzOKvHuiLGwErHHj4Bp/Bjy8fBpUPxzXzQ8VvS2YPGUMsoqr1fTCnRlF2JFehG0ZRXhu9nA4VpeqY4gFGw5iV1IGPBzM8HIxwMs1XSuu4eoIDxcn+Pv7qYDLNmL83BHjF4pzB2jBnazjkvvfmmprmmxU2a76lQydHHToH+GjslzDYqWohq96DGpd8v6SrKdMSbM18CX7Yq1Z3WR7nVqbPIY8lrw3ju4N1tRj8VNakyVzN6XKyFdffaWCm0svvVQFScOGDWvuXTXcGZ3umEyWBFZyv2+//XbtLy2ZqDvuuAMPPvhgk+5XgqapU6fixhtvVEUwTkQ6ZT/55JPHXP/ll1+ecgduIiIiezL0yNuIMK5X53dEXI7DwVpfrTZjtcK7PBXBRTsQXLQdpc5B2BpzQ+3Ppuy+DyaXEOR490OOV38Uu4bXFeWovQurOgaRRqsyHMoLEGc5gujqwwgq3g23qrppeqICLkhzikOmayKyPXqh0jsO7idYOmCxAvp6D/lTsh6rsnSwWszw1lXUZLvK4aMrh6vejARvK5z1dbd1cnRQaznki2g5lWlY9deSyDaZpcDhYh0OFWmjqKrh76iDFeHuUPcto5u3FZ6MuVqcFEaTJSVyfHnSBtzUJVRWVqrieTKL7uhETmlpKS6//PLWLXwhkZwsVpWAa/HixejZs6fKbl177bXaN1GnGWTJLyiBzXfffdcg8JJ6/jKXWrJqJyO/njwRPXr0UAHUyTSWyZIPnTRgbO/qgr///rsKFlldkMi+8fNK9s7xnaHQGZPU+aqb1wCB2hqmdiOHIrYgKmcPnN5v2PDU6h0Ba/wkWBImwxo7DnA9yd9jqxUVmbth3PwjXDPWwbtgG5zNpgabVLoEQB8/DrtKfBAz/gpsTTXB189PHb9Iby1Zu310s2VzzTTAnelF2JFRhJ3phdidWQRPfTW+vLIXDAX5qiHs6j2pKDBVaGu8pKqhqyN83J0RFlSX6ZL1LvW/vJXjlZSCMmxINmBDkgEbkw3q8tF6hnphVLw/zkjwx7AYP3i4dPrl9W1S5EAOqGNjY7tk4YuOwGq1qinE0g7imCborfSeSEpKUjFAY4Uv5PPbqoUvbGk0CYbkvMxJloyTlEmXaXmXXFKzEPYUSWAja6hCQkIaXC+XpQpKU6xevVpNOZRmaT/++KO67rPPPkO/fv0a3V6+cWps+qMENvYQ3NjLfhDRyfHzSnaptACoCbDgHQGnwAR5s8JuhPcDbtsAHPxDG0mroCtKh27rZ9Bv/Qw443Zg+rPatuZqLTirN7XQxilmIDxjBmoXLGZYMraiYu8SVQXRJWsznCvygT3zMUB+/vnHGOnghRy3bshx7469boko8YiGj6/WzFgqjMkaLnmWekc4o3eEHy6ueRzprSXrrGICJCuWqK57a98yZJXnw6eiDL4lku0ywUlXBOcjBfB2S8KASG3aogRZsvRB7ltGQog3uoX64LIRsep+sovKsf5IATYkFWDt4Xzszy5RfbxkfLgmGY56nWquPDohAKO6BaqiGi6OXNPVXHKsKa+HZBrbonIdNZ9tiqDtdWpttmbMjf0db+px+CkFWbI4zjZdUAISWeskxSm6deumfi6FKe68887TDrJawpgxYzi/loiIyEZ6XQmfaODuHfb3vEjQFNRdG2f8A6gsBZLX1AVd0qTYRqoY/nAjEDMaiBurCmkguHfDghtC7wB95BC4RQ4BMBeoKgfS1sN8eCUKtvyCwLLDcDUXI7pkixqiUu+ugq5c90RU4jzA/0zAwREGg0F90WtrbCxBmBZg1fn5zvGq0IWtj9eONAOSsw1wry5DDzdgor+vmpEj045+WrlVfVHt7eaEAG8PJESHIyo8VAu8/Pwwa0C4GiK3uAJrDuXh70P5WH0oD6kFZdiUbFDjzT8PqrLxUkRjVEIgxiYGquqFbfGtPxG1QJAlGSD5z0X6W3zwwQeYNWvWMQvCLrvsMtx1112n/XxLKk7uW/pc1SeXZe4sERERNVN1uXbaEtUE24KzO5A4RRui/iqHlDVa4+J9C7Uh3ANqgq5xQJ/zAY+AY+9TemvFjYMl8gysKemLmdMmwyl3p8qaSUBnTV0H58oSRJq2q4Ffvwf+8ASiRsDs2QOmAjekuMbCote+0fasKfMugZdUX5aphn0jfNS4rKYYckW1GfuyilUBDAmCZJ1HVnYOPnpvKTytpfAxlaqpiBsP56gpgD5uTgj0ckPfhMjabJccF50zMEINkVpQqoKu1QfzseZQPvJKKmoLaby4CAjycsH47kGY2CMYYxID1X0SkZ0GWRdffLEqciGdoI9H/hNoicoftlr9S5curV2TJfcrl2+//fbTvn8iIqIux1JTGcuhg67lqZ+ZmfgI0PNsrX9W0krVmwulMg3wZ21IZssWZOXu005l/dnR2R1HFyB6pDbkIWQaopS5T15dM/4GKgqBQ0sRiKWQcE8CrAK3eGS7xCHHlIiMogSkpLiqYyBbL86cnBw1bP21+kf61j2ko6Pq4/nCjWdje6oRW1MKsDc5C2VFBvhayuBbXoYqswVB2dnqy2W1ZstQjrCQYPRJiEJsVAQi/P1xybBoNeTnB3JKsPqgBF15KuiSzNd3m9LUcNDrVLXCCT2CMaFHEHqHMcvVGUyYMEFV2Zbq22Rfmv0/rG3t1dGkeaD0snrssceadX/S4V06SttId+WtW7eq/4yio6NV+XYpdDF06FDVG0veRFL2/brrrmvurhMREZEEECJnL7DjO6DfhR33OZFAMXKoNsbeA1RXAhmbgSMrgaxtQFCPum2XvwDs+gFw89eCqagR0EUMg94WdB5zv0O0MfpOraR89q6agGsNkPI39KZcBJr2qdGnYBGsOj1KPOPhvnGLNnUx+gykpaWpljM2sgbLVvTCVgBjcLSfGhgdp7aRwEj6askUwERfPfoH6pCbm4uktEwcyM7BgewirNx+UGW7fD1cEREWiv6J0egRF4XEYF90D/HCdaPjVOZsY5IBy/flYNm+XBzMKVEFNWS8vHgfQrxdMLV3iOofNjI+AE4OXItE1JKaXV1Qpu9J02BbjyobqaYj19m6tjfV8uXLMXHixGOul8Dq448/VuelmIatGbFE62+++aYq7d4WpIKIVBo6WQWR1iYFRn799VfMnDmThS+I7Bw/r2TX9vwCfHOldv6Sz4Fes9AlzLsW2LcIqG5Ysc+sc4IuegT01/xy7Fqu45FDp/xDWtCV8rd2akw5ZrMqnzjke/VEplMsUnRRKHXyb/Dzc845p7bCoKz1kvVTcszR2DqqQznFeGvRDiSlZcBcaoSfrgxOurpjrvhAD/SM8FfFwWRJhWTJbBk129TCv/bnqqBLpheWVdXdVnp9Te4lAVeIaqjs7txBs5ynUUlOvuSXAicdrbrg6WSyJASQ43bJqto7i8WijsnlWLwtCl+c6D3R1NjglDJZjX34t23bprJPp/LmOFmcJ1MDOT2QiIioBZjrZW7847vOU3rRx1qmK2u7FhilrIU1ZS0cSvNgqTQ1DLC+v1FbCxY5DIgYqk0xrP9zOQ4K7KaNIddo1xWm1wVcMr0wdw+cCo8gVAaAQfLUe4aj2L+fKqiR7RoPdze32rvcvn07MjIy1AGvzBg6utR7QrAXXr96lNo2p6gcG5MKsGF/Gg4kp8FkyMdAd9fa3j7b9h7C7oxCePv4IDoyAsN7J2BAYhSuHBmjhmS5pHjG4l3Z+H13FvJKKjF/S7oaUjxjXGKQKrYxpVcI3Jy7drVCmT11osRD/QPwE20rgYFbvdf7eNvWD4ybS6pnv/HGGyp7KvczadIkFXzZEiO2xIZ8af/II49gx44dWLJkiVqac8stt6gq3BI0PPDAA6pNUv3gTdobPfzww6ronRRt6du3L1588UV1HE+nGWTJB16CKxndu3dvEGhJFCzT/uQFIiIiIjtWZqw776eVCu8yHJ3rpheOugPVlZX4a/6HmDBiIGpDKAm4ZFqhpRrYpM2ogYsPEDFYC7qkoIZMBzyaT4Q29dI2/VJK5auga402MrfBoSQDvjKwGKoz2YHntamLMaPhbXJDroMbqqqr1fRAGTZy4CszWWzHXsHerpjZP1wNYDiKyqvgqANKiwvVbKMFa3ejvNqA8nwDcvIN2LhtJ1ycHOEXEIyeCdGYMrRHzdqsYDxzbl9sTjFg8c4sLN6dpSoWLtmdrYaHswOm9QnFOQPDMbpbYJecUihFTY5HXpOFC2sKrsjrEhysKkY2Zvz48SrIsZGeXNKq6Gin0b5WzaJ4+umnVW9YWQsoS26kd60EVfU9+OCDeOWVVxAfH6+O72U7aXn0888/q0yoLP3ZvHmzCrJsJNmxe/dufP311wgPD1d9bWfMmKECtcRErXUBnWKQJZGsvPBS9OLJJ59s0GxYClTIm+WMM85o6t0RERFReyjJ0k4dnDtOhcHWotPB5BoGa8SQetc5aFmvtA1A2iZtjZcUvTi8TBv5B+uCLDkg3vihFoCF9AUc6lXvc/cHep6lDVFRosrGqyyXBF9y/6V5wN4Fakima6CzF6rDBqPYry+yXBOQag5EQVGpapdT/8vt33//XWVRbP21JNslGTB3l0B1PqFHL2w4lIN1u4/gSHIqTMY8oKoaWVkZapSm70dUaCAiIyPh7huMPmGBqvT7w2f1wp7MYizckYGft2WogMuW4QrwcFbZrUuGRaFXWPstn6Djk2N0GwmgZHnNsGHDVCKkfrD41FNPYepUrRWCNPj95JNP8OWXX2Ly5MnqOmnTJIGUTUpKirpOTm3X33fffVi0aJG6/rnnnuPLcjpBlqyREjI3cdSoUVwXRERE1BHJwb4tyKLGy7vLOjXbWjUpFJKzuybo2gjEj6/bVtZlLbxHO+/oCoQNrMmUDdOGZLdsXDyBhEnaENUVQMbWunVdKeugqyiEU/Jf8JchjY8dXGAJH4SqqmGA1AiLGoFKnUttBqR+ixvp1yWZFKn+LGuyxvcKV0OYKqqwcmcyNuw5jOzMLNWTS9aTyNidsQbJRWb4BIRgQI94TB/WA/dP74n7pvXAllQjftqSjgXbM5FvqsTHa5LUkAbIlw6LUkGXp4v9r+c5HRKgHM/RLYwke3Q8R68jSkqqaQjegqSP7RNPPKGW8MgaP1ulbwmOevfuXbudFJOzOXz4sMqASXE5G0mkSDbMRrJVMmtNZrLVJ1MIZUorNa5JnwzbQjMxaNAgVUlQRmPaszgEERERnYQc3At9115r02RSaTCsvzaGzWn4Mymi0W2KFoCVFwKpa7VRv8T8+Ptrtq0ErGbAya1e2fgR2hC2Cob113WZcqBPXQsXuc91bwE6PZxC++G8kCHI9+mLVH00so2laoqarJORIeuybL1EZQaSrPOSbNeMId3UsB0cy/VS/XB9shFO1iqU5qXh77w0rFy1GjrPAPRKjMPkwT3wxOw+ePTs3lh1MA/zNqZhye4sbEs1qvHMgt0q0JJ1XtITrDNqzhqp1tq2KWSN1/Tp09X44osv1GsuwZVclvfE6Ty2BJoSUEoQd3RgeaLplF1dk4Isma9pqygo35Q0VvjCVhCjudUFiYiIqA3pa/70ux7bjoWaKbQfcOX3UvoMKDhUl+2SUwmYQvrUbSu9vL66RLtN5PCabNdQbV2cHFdJ0GsL5kbcrE1FLDhcF3CpCobJ0GVug2vmNkiOLEJey8hhqIwajQKffkizhiA0Iqr2ISXoWrFiRe2xnKy3kWM5GTIzSYYs9diw5wjWbN+vgq5iUxmsphzs35qD5D1bgenDVINlaWosQzJaP2xOw9frU1Xz5K83pKoxIs4fc8bEqSqF0pOL2tbevXtVpe8XXngBUVHae2Djxo0nvZ1MK3RycsKGDRtU6yQhGc79+/dj3LhxtQkWOb6XTN3YsY2sR6RTD7L+/PPP2sqBy5Yta8pNiIiIyB7ZprDVNN6lFiBTwQITtTHwcu06VbGw3mGW9O2SYhoZW7Sx/j/a9e6BWsA16WEtALORwCsgQRuDr9auK8rQimhI4+XDfwGGIyrz5Zzyt6pgGOrsCcSOAeInAvETUGH2gZeXl1p3I9PHZMjBuHwpLmu3+vXrpwKvM/olqiFfmB9MTsdfm/fgUFIyvBytOHDggBpu7u74Ync5uiXE48yBsVj0z7HYkmLEF+tS8OuOTKw7UqBGTIC7CrYuHhoFVydmS9uKBEhSI+Gtt95Sheh27typimCcjLw/ZEnQ/fffr471JQB//PHH1fRGW1JFpgleccUVuPrqq/Hqq6+qoEsKsyxduhT9+/fHWWfVrDuk5gdZUhGlsfNERETUwdia78o0OGo9RxcVGXMP0PfChtmuzG1a8Yv9vwFTHq/bdtd8LYiKqsl4+SdogZx3eMMKhoYk4PDymvEXUFYA7F+kDQm6vMJwdrcpqOg9EVnuPZFtMKl1XDL9q371QlvWSzIY0WGhuOH8SLWeR/qTypQzKQufkm2Ad5kROTsz8dr2LSh1CcCYAT1wy/gEzJ3ZE5+sScZX61OQnF+Kx37ahbf/PIibxsXjihExXb4MfFuQ6YHSX/ahhx5SBS8GDx6sKgjOnj37pLd97bXXVGB29tln15Zwl9e8fnl6KXDxzDPP4N5770V6eroK0keOHKluQy3UjFgqicj8yzFjxqjL77zzDt5//321oE7OSzq6M2EzYiJqLjYjJru2/EVg+XPAkOuAWc1vYNqZtPtntapc69slQZdMEbStk/vhJmD7N3XbufrWFNQYDkQNA2LGaOXo65Mpi9k76oIuyXhVl9f9XO8ExIwCuk9HSfhoZFa4Iz4hoXaNjZTslv5KQooZSOVBmXYmmY7q6mokJadg1eZdOJyagdziClSaLaiyOiDD4g23wEg8dt4g9An3xneb0vDe8kPIKNQeO9DTWQVbV58Ra7eZrY7cjLg1yPouKaAiWas5c45ah9hOLF2hGbGkE6X5mK3aiNTWl6hWphHKeYl0iYiIyE5JBkWkrm/vPSGpZCjZKhn19b8E8AzWgi+ZWlhuBA7+oQ2dHvi/5LogK3efNuXQIwAIG6CN0XdpAVzKGuDA78D+xdqasSN/qSGlChL94oDEaUDPmSpok4bHtgNHWdsjQ6rUyXUScPXp00dNFZSphwcPHcLabXuRmmOAS4kRFoMBabutiHbrh6tGxmBW/3D8tjMT7/51SJWBf+7Xvfh4dRLum94D5w6MgJ5rtuzKli1b1DRSqTAor7+UeBfnnHNOe+9ah9bsIEuiOlsZyO+//x6zZs1S9fHlGxD5JoiIiIjsWFVNs1SpdEf2qdtkbQhzFZC1o2aK4XqtBL9rvW/Pf74DSF0HBPUEos/QslUyfCLrSsbPeF4rN39giRZwSRENWc8l68JkuPmhZ4+z0LP3bJSGzkB6dp6aLiaFDuSgW6rTyfotIZmtnj16YED//qpC4fZde7DvSBrKC3PVGn6Z0fR7hiN2FTrhprEJamnZO8sOqszWPd9uwwerjuChmb1Uc2OyHzK1UDKZsq5ryJAhWLlypZoSSG0YZMmTb+tm/ccff6hFcEIWy0n6jIiIiOyYHLSL+o1zyX7J6yTNjmWMuOnYKYJVNS11cvdqY1PNjCKfaKDHmcDMl7TLqojGrcDIW7VATbJasnZr76/aurCtn6vh7uKNxO7TkdhrFipHzEB6jtZvyVYEQc7/9ttvqkFybGwsxo8ZhdEjq1U1OvkiPi+/AKaUXPiZnfDuL+kocfbHeYMi1bqsL9amYFdGEa743zqc1S8Mj83qjRBvTs9rb1LIQsqzUzsHWbIWS6YFjh49GuvXr8c332hzhuXDJelkIiIismPmmp45bEbc8cnalFtWAqb8mobGUup9jVZQozAFKEqv21aW4C99EggfBMSOBXqepY2z/qXdbs/PwJ5fgOJMYMc8NZydvRDXezbQ/2LAEqvWjElmS9ZoSa+t7du3qyFFF2Ttisx0OnToEBwc9yElrwiBBfkoqDRg8ToD8nXeOLNPGBwc9Ph5WwYW7sjEiv25uH9GD1Ucg2XfCV09yHr77bfxj3/8A9999x3effddtTBOyLcaM2bMaI19JCIiopbCTFbnI+uxep2tDSGZKpla6OxVt4303Fr1r5oLOm3tVvx4IGGyNs0wbiww40UgfSOw+ydg989aoLb1C214aZUN/QZcivPOO09NJ0xKSlLVCqVSoQwpHjJs2DBceP65OHjwIPbs2Yv0/EKE5RcgzWTAmh0luHbqYPx8+2g8NH+namgslQi/35SGFy/sj56hxy8i0BaaWQuOOjFrC7wXHE+lDv+CBQuOuf5f/7J9cImIiMjuS7jrj6pOR52Hi6e2Fqs+6dk1/GZtmqBMK8zcqo3Vb2jB2LSngKHX1xXimPq0ttZr+9daSfniDGDNm2o4RQxF/NDrET/mPJRWA8nJySqoktLwUm1Ngq1evXqp6oQSiElRhbwiE+ILDIitOIxwt0D8cOsovLpkHz5Zk4RtaYWY/fZqPDijJ64dFdvmhTFslSVlOYybm1ubPjbZJ9vSqNOpOnpKTTJkPq58mGRBpJyvz9YdmoiIiOyQuVo7PboEOHVufjF167OKMoEjK7RS7wd/B0y5gFdY3baZ27VsVo+ZwNmvA2e+pBXMkLLycirZLhmL58J9wOXoNfQ69Ox5tqpIWL+VjzTEzczMRGJiImKrquB/+DCKjQWqHVC3bt2w5oAJ5VVmRPi6It1YjqcW7Mby/bl45cL+CG7DtVpSxt7X11cd1wqptGhbg0b2wWKxqAIsUlq9NUu4SwZLAix5L8h7wtbioE2CrLVr1+Lyyy9X31ocnUqTN6TZzGpFREREdsvJpa73EnVN3mHAgEu0IV+WS0ZLqhPa7P4RWPkqsPIVwDsC6DUL6DUbuPhToDQf2PK5VmDDmAKse1cNXexYBI66A/CfqtaKyTGiTCGUg+Ldu3fD0dFRZbbksjQ53rNvP7qVlyJb54l0oxUujg4wW6xqndaMN1bi5Qv7Y3KvkDZ7SkJDQ9WpLdAi+2K1WlFWVqYyjW0RAEuAZXtPtFmQJR2hhw4dioULFyIsLIyRPhERUUcS2B3I2QNEjWjvPSF7IFkBqVxYX9RIoM95Wo8tKZ6x7j1teARpxTImPw6M/idw+E9g40fAvl+BpJXakGBt1B3Q9bsIZ511lvpSfs+ePapghkwdlCxEcHCwmlo4xEGPeL9KbC8owLICb1TDCc4OOhSYKjHnk424c1I3/HNK9zaZPigH7nJcK/smTarJvlRVVWHFihVqxlxrNw6X+z+dDNYpB1kHDhxQRS8kzUtEREQddLqgwymtGKCuoPs0bUhD40N/alUHJZCSaYVyfuYrWnDWbQoQPhioelELwjZ+rK33+uk2YOnT0I+9B3GDr1Gl3mXaoARbkimSIWu2pAz8jh07MM69Gj38irA4yx17TTJNUAuq3vzzIHakF+L1SwfBx61tWg7IwXVLHGBTy5LXRKpaurq6tnqQ1VKa/T/siBEj1HosBllEREQdufBFxzhQoXbk5Ar0nKkNqUqZVFMu3tZjTaYa/mecamaMAZcBt67SqhKufVcrlPHbA8Cq16Ebdy/CB12F8PDJqhqhBFtS7l16r0qVaslQWK2FuCKuAsnlOuypDsb5w+Lw0PwdWLYvF+f/ezU+vm44ovzd+XagDqPZQdYdd9yBe++9V82nle7fR0eT/fv3b8n9IyIiopaUvlk7zT/A55WaTgKroysWStZK+moVpgJZ27U+XH3OBy74QPuZrOmS6YYL71XBFiY9gpB+FyMkpG6tlZeXlwq2pKiBrLuJd9ehj1s+xkT3xPe3jsKcTzbgUK4Js95ehU+vH47+kVxLSJ00yLrgggvU6fXXX99gHqt8MFj4goiIyM5Vl2unVlZPo9MU0hu4dz+w6wdg0ydA9g5g25faCOkHzHoDKDiiFdGQQGz+zcD6/2r9uKKGqbuQQhjS2Fimgcm6G6PRqAKupUuXYsCAAZjaKwSfr0uBsbQKF7y7Bv+5cggmtWFBDKI2C7KOHDlyyg9GRERE7cxiblhlkOh0GyEPvxEYdgOQthHY+KEWdEnA5eIFjLgJGHyVNoVQgq30TcAHU4B+FwFTnoSbT4QqkLF//35V8l3W3kigJWW0N23ahLHhUUjp5o8VBwtQZbaqghjPnd8Plw2P5utGnSvIiomJaZ09ISIiotZnrelv6cSmq9SCpKy2ZKdkTH8W2LuwroKlvNfKC4EeM4DqKmDPz8COecC+RaoJsn7wtejZsyfi4uKwbds2tfbfZDKpEvDSH+mKqBBM7N4NT/92EBYrMPeHHdifXYzHZ/XhS0h265S6eX322WcYPXo0wsPDVWlO8frrr+Onn35q6f0jIiKi1giyHBlkUStx99eyV7Z+RhJgrX8f2PEdsPcXoNtUILQfUFkMLLgb+GQWkH9IVRscPnw4pk6dqgpiREdHq8bABQUF8DfsxXdzBsG3psrgR6uT8M+vt/AlpM4TZL377ru45557MHPmTJXOtTUflqZdEmgRERFRR8hkSalsojbg6gNc9QPQ/Uzt/XdwCZC1C4gYAji6AsmrgHdHAWveUhULg4KCMGPGDJx55pmYPn26Ko4hma1dfy/Fghv7o3e4t7rbn7dl4JdtGXwJqXMEWW+99Rbef/99PPzwww36CEiDYul1QERERB0hyGI5bGpD0SOBy78GbloOJE6XxYHa+iwpDR/cSyvIsuQR4PPzgOIs1bRYslgSYElmSwqsSfn3n3/8Af+eHYXzB0eoqYN3f7MVv+/ORk5xTUEXoo4aZEnhi0GDBh1zvaR45VsGIiIismO2HkfOHu29J9QVhQ8CrvgWuOFPrSS8vB8vn6dVIpTA//ByLat14PcGx5jSIkgqEEpBjPnz5+PannqcNygC1RYrbv18E0a/8CezWtSxgyxZlLh169Zjrl+0aJHq3k1ERER2zCNYO/UKbe89oa4scghw1XzgtnWAbxQw5Foty+UeCJTmA19cBPz1ktbwGFC9WS+99FK1PEWWqvz+++84L6wY03sHq0BLKg/e8dUW/G/l4fb+zYhOLciS9Vi33XYbvvnmG5W6Xb9+PZ599lnMnTsXDzzwQHPvjoiIiNqSpUo71ddktIjak19s3fkyA1CaV3PBCix7FvjmSq1wBoDAwEBcffXVCAsLqzkGXYczfbMwNFpboyWeWbgHT/2yGxaZS0jUkYKsG264AS+++CIeeeQRlbK9/PLLVTGMN954Q33DQERERHZM1sDUnzZIZC9C+gBn3A7o6tb8Y99C4INpgDFVXXR2dlbHm4mJiery4YMH8Oj4YCQE1U1//XD1ETzw/XaYGWhRRyvhfsUVV+DAgQMoKSlBVlYW0tLSMGfOnJbfOyIiImo5JblAuVE7z0wW2RtpXiw9tm7+C4gYWnd97l7g/QlA5jZ1UQqvzZo1S00hlOmD+3dvx5vnJSLQs67B9neb0nD/vG0MtKhjBVl5eXnYuHEj9uzZ06DCIBEREdmxqtK66oIOju29N0SNkx5ac5YAZ70GOHtq15nygA/PBA4uVRel+uCUKVNUL63q6mrs27oOz08LRbRjsfq5dOjycnWEvqZVF5FdB1m7du3CuHHjEBISghEjRqiGccHBwZg0aRL27dsHeyZTG2NiYnDfffe1964QERG1j+qKuvPMZJE90zsAw+YA/1gLxIwCQvoCVSbgq0uBPQvUJvJF//jx4+Hn56eO8/as/RPnhJUgVl8AK6wYGusHna0hMpG9BlkyLVDeyLm5uXjttdfw66+/YuHChXj55ZeRmZmJsWPHIicnB/ZKinOMHDmyvXeDiIio/UgvIhuuyaKOQCoPXvsrcOMyoNdswFwJfHsVsOQx9WMnJydMmDBB9dOS9VpO5lJMDCpFN4d83DdvG3akFaLKbMGyffZ7jEpdPMj617/+pTJBW7ZswV133aU6cEs3bqk2uHnzZkRFRalt7JGsH9u7d6/qHE5ERNSlpwva6DldkDoIyUY5OgMXfgT0mqVNeV3zBvDVZYDFrPpnSSIgICBAnQ90rsYQrxLEWrNxwyfrcfUH63HdRxswf0tae/8m1IU0OciSfgT/93//p968R3Nzc8P999+PxYsXN3sHVqxYoRYvhoeHq5Tujz/+eMw277zzDmJjY9VjyzRFKRvfHDJF8Pnnn2/2vhEREXUqlSV155nJoo5G1hGe/z4Q1FO7vO9X4L3RQEmOKoAxevRoldGS5sWxfo7o4VYC79IMHMnV1mk98N12bE4xtO/vQF1Gk4Osw4cPY/Dgwcf9+dChQ9U2zWUymTBgwAAVSDVG+nFJtuzxxx9XGTPZVrJo9acmDhw4EH379j1mZGRk4KeffkL37t3VICIi6tIq62eyWMKdOiAnN+DWv4GY0drlnD3AO8OB9M3qC/shQ4bAw8MDTg4O6BHkingnI/SmXMT4u6uGxf/4fDPySuqtTSRqJU2eK1BcXAxv77pmb0eTbw6kpHtzyRS+E03jk/VfN954I6677jp1+b333lNrwT788EM8+OCD6rqtW7ce9/Zr167F119/jXnz5qn9q6qqUr/HY49pc3mPVlFRoYZNUVGROpXbyWgvtsduz30goqbh55Xslc5srv3DXyVFBrv43xR+Vjuwy3+Aw7dXQH/oD9XE2PrhdJjP/S/iep4Ng8GAgwcPQldejoHxYfhjtxvMBaUI8nRBVlE5bvtiEz6+ZggcHU6pyDZ18c9qVRP3QWeVltlNIBVc9u/fj6CgoEZ/np2djZ49e8JsNjdvT+vvjE6H+fPn49xzz1WXKysr4e7uju+++672OnHNNdfAaDSqLFVzfPzxx9i5cydeeeWV427zxBNP4Mknnzzm+i+//FLtCxERUUflUmXEjJ13wgodfh70SXvvDtFp0VmrMfzwGwgt0vpnpfsMxcb4OyGHtlKwraysDI6OjthpjcLiDCc46uSdD1RZdZgUbsE5MTXtDIiaQSpZXn755SgsLDxhAqrJmSx5w55oyp38vKXLZEo/LgnapGR8fXJZClm0hrlz56rpifUzWVLUY9q0aSd8ItsiapZ1cVOnTlWVdIjIfvHzSnarMA3Yqa3HmjlzJro6flY7gaopsHx+HvQZmxBuzcLMsYMBr1A1K0mOm+SA+OJQb5S5ueLwkSOwuvogvRT4O9cRT185FsFedQ2MyX5V2dFxsG2W28k0OchatmwZOrprr732pNvIYkkZR5MXtL1fVHvaDyI6OX5eye7otckrOj3/ltTHz2oH5uQDXDEP+GAqdAWH4PTt5cC1C+G0bz7Gj52JP/5chpycbFwQ5oPfswpQUGmEW0BPvH3lMET41zQ6pg7DyQ6Og5v6+E0OsqQ0ZlsLDAxU0xRlKmJ9cjk0NLTN94eIiKhDq2niCmt1e+8JUcvxCACu/F4FWsjaDvxnHGA4Av8+yzFsyMNYu34Dio0F6B/hg43JBpgKD2PB9gj0DGu/GUrU+dn1ij9pKidVYpYuXVp7ncViUZfPOOOMdt03IiKiDqc4Sztt0mpsog7EPw645HOtaqbhiKRrgV0/IG7Ha0jslqC+tPd0dUTPUA8E6k34ZcVGrDmYh03JBZi3MbW99546oXbvRCgV/6QCjM2RI0dUtUB/f39ER0er9VFS6EJKxA8fPhyvv/66KvtuqzZIRERETVRdrp3q7fo7VqJTEz0SOPtfwM+3aw2LJZew9QsMcXKHIWAa8vLzEerjDmNpNVCYjwe/XI20Mkc4OegxOMYPCUGcPkgtp93/l924cSMGDRqkhpCgSs7bSqxfcsklqhqgXJZ+WBKALVq06JhiGERERHQSVTVBls6BTxV1ToOvAkbcWte8WN7uG97HBPwNNzc3dblbsCc8nPSIrkpFoJsDKqotuH/eNpgtTPFSJwqyJkyYoCoTHj2k3LrN7bffjuTkZFUpZt26dRgxYkS77jMREVGHVF2mneoZZFEnNu0ZIH4iYK4E3PzUVU5rXsOkEKOaNuig16FXqCfc9Gboyo1wdtRjc4oRH6460t57Tp3IKQdZMsVv8eLFqgeBaGK7LSIiImovctAp9O2+WoCo9UgG66KPAP8E1agYPpGA3hneHh5qrb9er4eHiwMGDhqEbItX7THsK0v24VBuCV8Zap8gKz8/H1OmTFE9s6THRmZmprp+zpw5uPfee1tmr4iIiKj11mRxuiB1dpLBuvQLwMlD6w834GKg/0Xo1q0bYmNjVRnuCBgwKtYHVWYrvN0c1bTBh+fvYOKA2ifIuvvuu1X37JSUFLi7u9deL2unZK0UERER2SmpvCYc2G+RuoDgXsC572jnt3wO7PpRnR3apxu8PNxQVlaKKxKqEOBchdDKTDjqgbWHC/Dn3pz23W/qmkHWkiVL8OKLLyIyMrLB9YmJiWrdFBEREdmpQVdqp97h7b0nRG2jz3nAqDu08z/dBuz4Dk4fTMRk3d/Q6XQw5mTg4sAsRDkYEa4vwv3Tu2Nij2C+OtT2QZaUT6+fwbIpKCiAi4vL6e8RERERtQ5LVcOMFlFXMPkJIHYsUFkCLH4YKEyF26b3MCqoRK3PCvRwQoCbI+J0uVh3IAs6XXvvMHXJIGvs2LH49NNPay/LtwDSIPill17CxIkTW3r/iIiIqCVYzIC5ukFpa6IuQd7vF34EeEcAJVmAX6y6OmrjM4jw0qnS7jG+TnDWW2BI2YcF2zNRVmlGhrGmGifRKWj2/7ISTE2ePFn1t6qsrMQDDzyAXbt2qUzW6tWrT2UfiIiIqLWteRNY/aZ2npks6mo8g4CLPwM+mgEYkgCvMOiKMzEq5zP84HGVWqMV7V0FS2EJ/vXj33h6gQ9iAz3wzU0jVUKBqNUzWX379sX+/fsxZswYnHPOOWr64Pnnn48tW7YgISGh2TtAREREbSB1A1BWoJ1n4QvqiiKHADNf1s6X5AAOznBMWYXxbvtUtcFgL2d4OOoQXp0JQ0kZ1h8pwOJd2e2919RBndJ8AR8fHzz88MMtvzdERETU8qQPUOq6usvsk0Vd1ZBrgaTVwI5vAWcf9cVD8LZ3ENv/BRyxeiLGtwqmvEqE6wqRbPXDC7/twaSewaphMVFzNPsd89FHH2HevHnHXC/XffLJJ829OyIiImpt6ZuA0jyWcCcSZ70K+MZomV3PEOi6TUHfERPh4OAAP083+AWFIcXiCycHHZLyS/H5WlbPpjYIsp5//nkEBgYec31wcDCee+65U9gFIiIialXbvtJOg3trp1yTRV2ZqzdwwQdaU+6SbKDnWfAKjUOvXr1UEYxBwY5wdYRqUizeWHoAhWU1lTmJWivIkibEcXFxx1wfExOjfkZERER2pLpC9QZSwvppp1yTRV1d1DBg4lzt/KIHgcJ09OnTB97uztBbqnBFog46WOHtUK0CrA9WHm7vPabOHmRJxmr79u3HXL9t2zYEBAS01H4RERFRS9i/CCg3Al7hgE+Udh3XZBEBY+4BIoYCFUXAj/+Aww83YErWu4DVgghrHia7JaO3Pl0WNSLVwHLu1MpB1mWXXYY777wTy5Ytg9lsVuPPP//EXXfdhUsvvbS5d0dEREStKWIIMPIfwLA5Wq8swUwWEaB3AM55R1UZxJHlwN4FcMncgKEOe+Ds5Ih4jyp46CqQ4FqKp87pw2eMWjfIevrppzFixAjVK0vmrcqYNm0aJk2axDVZRERE9sYnEpjxPDDuPsBSs66Ea7KINME9gQkPaud12mFxt8OfwgNlCPB2h48TEGbOwQcrDvEZo9YNspydnfHNN99g7969+OKLL/DDDz/g0KFD+PDDD9XPiIiIyE6Za4Ish1Pq4ELUOY26CwgbCFSXA64+0FUUYkzVcnh5eiLYXQcXXRV+W7MF+7KKsGhnZnvvLXUQp/y/bPfu3dUgIiIiO5S1A/j9cWDiw1oTVmGbLshMFlEd+dLhnLeB/4wDygvVVQFJCxDabTBKfbyRV1qEqso8zHpjOfSOTlgd648ATxc+g9TyQVZaWhp+/vlnVU2wsrKywc9ee+21U7lLIiIiaknLngMOLVXfzOOij7TrbNMFuSaLqKHQfsDwm4F17wLOntBVluCMwh+R5XszAt2KYayqRpTeiENVAfj072TcPZWJBmrhIGvp0qWYPXs24uPj1ZTBvn37IikpCVarFYMHD27u3REREVFLS10P7PtVW2My8aFjpwsyk0V0LCnpvusHrXeW3gmu5TkIdatCmZ83CsqNyC2vUJUGP/07CTePj4e7M6fdUguuyZo7dy7uu+8+7NixA66urvj++++RmpqK8ePH46KLLmru3REREVFLsliA3/5POz/wciAwsd7PqrVTrskiOpZkfac9q53X6aC7cj4Sh2mF3iICfbG7OhjSPctQWoV5G9P4DFLLBll79uzB1Vdfrc47OjqirKwMnp6eeOqpp/Diiy829+6IiIioJW3/GsjYDDh7AZMea/gzc80Uf2ayiBrX70Igdqz2WVn5CiIjI+Hn54cgbzeM8i+HtWaz91ceRrXZwmeRWi7I8vDwqF2HFRYWpioL2uTl5TX37oiIiKilVBQDfzyhnR9/P+AV0vDneQe0U+8wPudEjdHpgOmSzdIBO7+DLn0zRnikwdlShkG+5XBHBXx1ZUgzlGHhDlYapONr9mTSkSNHYtWqVejVqxdmzpyJe++9V00dlFLu8jMiIiJqJ5s+1taT+McDI25p+LPKUiB7p3Y+cni77B5RhxA2AOh/iZYV/vJi+JfmYXDEeShxnoAZ7oeRW+WK9ZZYZBWWt/eeUmcKsqR6YElJiTr/5JNPqvPSNysxMZGVBYmIiNrTiFsBR1fALw5wPKrEdOZWbU2WV5jWoJiIjm/SI8DuH4FSbZZWXPZv2Bo9Av7OQHF1JXp6lOOGsfF8Bun0pgu++eabKC8vr12H1a9fv9qpg++99x62b9+uCmDExMQ05e6IiIioNUhBi+E3AolTGq84KCKHalOiiOj4fKOAkbdq5x1doasux9DS5Qjy94angxnuZTn4jdMF6XSDrHvuuQdFRUXqfFxcHHJzc5tyMyIiImoLaZuAqrKTbLNBO+VUQaKmGXM34OYPVGuJhqjcPxHoUg0/Zys8dBX4fNlWbEkxwFjasGcsUZODrPDwcJWpSk5OVv2wpBmxNCJubBAREVEbKs4GPj8P+PcZgCG58W2s1npB1jC+PERNLek++i7tvKMLdOZKDCpbBX9vT7jrqlCRl4bz/r2G5dzp1IOsRx55BP/85z9VA2KdTodhw4apjFb9ERsbq06JiIioDf32AFBeqB0Qekc0vk3Wdq0ghoMLED6QLw9RUw27AXAPAKqlETEQm7cUwR46+DpZ4a83aRmtdcmwWGzF3YmaUfjipptuwmWXXaYyWf3798cff/yBgICAptyUiIiIWsvOH7TF+ToHYPabx28yvPVL7bTnTMDJja8HUVO5eAKj7tBaIzg4QxfUC4GuFnh7uCGvshI+unIk55di5cE8jO8exOeVml9d0MvLS5Vt/+ijj9Sp9MgiIiKidpwmuPBe7fzYe7Wy042prgR2zNPOD7yi7faPqLMYdiOw+k2grAC6ETcj0n0I0tauRVJZKTKKvNUmX61LYZBFp96M2MHBATfffHNtpUEiIiJqB7LG6pc71UEfQvsD4+4//rYHFgOl+YBnKBA/sS33kqhzZbPEylcQHxsDd3d3xPg6IVBXqq5euicbhaVV7buf1HGDLNG3b18cPny4dfaGiIiITm7bV8D+RWr6Es77D+DofPxt176rnQ649PjTCYnoxKQ1gqsvkH8Qjnt/wgjdNoR5OSHepQiuqEKVxYIFOzL4LNKpB1nPPPMM7rvvPixYsACZmZmqtHv9YY+OHDmCiRMnonfv3qrHl8lkau9dIiIiOnWSkeo2FZj4MBDS+8Sl3ZNXA3onYMTNfMaJTpWLFzD0Ou38z3cgasebiCvdht6uhRjnfBjeugos25vD55dqNfsrrZkzZ6rT2bNnq0qDNlLaXS6bzWbYm2uvvVYFh2PHjkVBQQFcXFzae5eIiIhOnXcYcMU8bdrgiax5QzvtdxHgHc5nnOh0DL8JWPNWbd+sfqaVWOd2FQrKyhDtWISXLujP55dOPchatmwZOpJdu3bByclJBVjC39+/vXeJiIjo1OQfAgIStPPyRWe9LzuPkbkN2P2Tdt62noSITp18UdH3AmD7N4BOD++ifegelo88BxcEWYuwaEc6Lj8jns8wndp0wfHjx59wNNeKFSswa9Ys1fBYMmE//vjjMdu88847qg+Xq6srRowYgfXr1zf5/g8cOABPT0/1GIMHD8Zzzz3X7H0kIiJqdxlbgXdGAD/dplUMPBkpOW3LYp1oSiERNd0Zt2mnNVnkQRVr4ebsBHdU4vcNu2C2WNXsLiLHUwmKTmTcuHHNuj9ZHzVgwABcf/31OP/884/5+TfffIN77rkH7733ngqwXn/9dUyfPh379u1DcHCw2mbgwIGorq4+5rZLlixR169cuRJbt25V28+YMUM1U546dWqz9pOIiKjdVJQA388BLFVa42EHpxNvf/gv4NCf2losWbdFRC1DWiXEjgWSVqqL4Yb1iAyYhMIyM3Jy0jHiuT/wn6uGYkiMH5/xLq7ZQdaECROOua7+2qzmrsk688wz1Tie1157DTfeeCOuu05bbCjB1sKFC/Hhhx/iwQcfVNdJAHU8ERERGDp0KKKiomrXlMn2xwuyKioq1LCxFfOoqqpSo73YHrs994GImoafV2ppDr8+AH3+QdQxEycAABvlSURBVFi9wlB95mtAI18s1rJa4fD742qqinnwNbB4Rcqbki8KP6vUQnTDboZj0kpY9Y7QWaox0LIdhx37wM9ail0lJfhpSxr6h3vy+e6kf1ebug/NDrIMBsMxD7RlyxY8+uijePbZZ9GSKisrsWnTJsydO7f2Or1ejylTpuDvv/9u0n1I1ionJ0ftt4+Pj8rESa+v43n++efx5JNPNpoVk54I7e33339v710goibi55VaQrhhHYYlfQErdFgdci3yl53471+YYT2GZ25Btd4Ff5QPQMWvv/KF4GeVWpLVgmlO/nCrKoAFOjhWGKDX6eCqq0aIQwl+2pSMQTgM/QmWTFLH/btaWqr1RmvxIEsClaNJVsjZ2VlN65OgqKXk5eWpzFhISEiD6+Xy3r17m3Qfjo6Oah2WTGOUObLTpk3D2WeffdztJaCT36N+JkuyYHI7b2+tq3d7kGBW3ljyXEshDyKyX/y8UospTIXj+7ers5bRd2PEhHtP8uYrg+N/H1VndaPuwOTxl/HFONHTxb+tdIr0njuBVa8AUSPgM/VdRP7+O3JSipBq9kG1WYfI/qMwMMqXz28n/Kw2tWVVi3UllMBH1knZo5NNSaxPyrs3VuJdXtD2flHtaT+I6OT4eaXTYrEAP94EVBQBkcPgMOkhOJxsLdaqlwFjMuAdAYexd8OBfy+ahJ9VarYhVwOrXoU+dS0iPaoRFBAAf0MV/KrKkGvxxB978zAsPohPbCf8rDb18ZsdZG3fvr3BZckOSVPiF154QRWgaEmBgYFwcHBAdnZ2g+vlcmhoaIs+FhERkV3R64Hx/wf89n/ABR+cvNiFlHdf9bp2fvpzgAvXhBC1Gr8YIGGiKjCj3/oFugcOQkamFeHGIhVk/bYzEw+e2bNB3QLqWpodZEkgJW+Yo8tTjhw5UhWjaEkyBXHIkCFYunQpzj33XHWdxWJRl2+/XZs+QURE1GklTgUSJgF6hxNvJ3+TJRgzV2jb9z6nrfaQqOsafLVWxXPtO+hdVYbCwEux1zERelixpSAch/NMSAjilx1dVbODrCNHjjS4LIUogoKCVA+rU1FSUoKDBw82uH+p/idNg6Ojo9X6qGuuuUZVCBw+fLgq4S5l323VBomIiDoVQ5KsqNK+KRcnC7DEnl+Ag78DDs7AmS+fuEkxEbWMHjMB9wCgNF9d7FW2Eb6OcbBYCqEPiYWTZKOpy2p2kBUTU/OffgvZuHEjJk6cWHvZVnRCAquPP/4Yl1xyCXJzc/HYY48hKytLZdIWLVp0TDEMIiKiDq+qHPjmKm1d1SVfAHFjT36b0gLg1/u086PuBAK7tfpuEpEcRbsAAy4D/n5bfTHiazqISPdimKo84VxegOiA9q9KTe2nySG2lExfsGBBg+s+/fRTxMXFqSa/N910U4P+Us3puyVTD48eEmDZyNTA5ORkdf/r1q1TTYmJiIg6ncUPAVnbAZ0D4B/f9NuUZAOB3YFx97f2HhJRfQMu1U5rssdDHPfDSWeBQ2kuDueW8LnqwpocZD311FPYtWtX7eUdO3Zgzpw5qmeVNAX+5ZdfVI8pIiIiOgU7vgM2fqBNFTz/fcAn4uS32b8E2PaVdptz3gGcTm3qPhGdopC+QGAP1TtL9KjcCSe9Dj66cny8fDf2ZRXzqe2imhxkyTqpyZMn117++uuvVUbp/fffV1P83nzzTXz77bettZ9ERESdV85e4Je7tPPj7gMSp5z8NuWFdbc54zYganjr7iMRHUsyWP0uqjmvh2d5BqKdDXDRmfHXln349G9ZY0ldUZODLIPB0GAd1F9//dWg99SwYcOQmpra8ntIRETUmUmw9M0VQGUJEDsWmDC3abdb8ihQnKFNK5z4cGvvJREdT78LtNOabNYg/QE46cwI0Rdj1YE8Pm9dVJODLAmwbJUFKysrsXnzZlW23aa4uLjdm4MRERF1ONLbKv8g4B0JXPRx06oJHloGbP5EOz/7bcCZC+yJ2o180RE2QDs/5Frk9bgcDjqdWpuVXGBCurGML04X1OQga+bMmWrt1cqVKzF37ly4u7tj7NixDZoUJyQktNZ+EhERdU4THgSG3QBc8hngEXjy7cuMwE81vSKH3QjEjm71XSSik+g5SzstykB0Yl84eweg1Oqs1kuuPshsVlfU5CDr6aefhqOjI8aPH6/WYcmQZsE20oh42rRprbWfREREnbcM9FmvAhGDm7a9lGsvSgP84oApT7T23hFRU/SqCbIOL0dUsC/8PJzhry+DE8wMsrqoJvfJCgwMxIoVK1BYWAhPT084ODSczjBv3jx1PREREZ1EwRFg29fA+AeaNj3QZvs8YMc8rcS7VCB04d9dIrsQ1AMI6Kam/notewjnVeRjByYjQl+IdYc5nbcranYrah8fn2MCLOHv798gs0VERESNqDQB31wJ/PUC8MfjTX+KjCnAwnu18xKcRQ3j00tkT1UGe56lnd81H9H5KxDvmI+BThmqbkF2UXl77yHZe5BFREREp8hqBX6+A8jeCXgEASP/0bTbWczA/FuBikIgYigw9j6+BET2JrFm2UxNdrq3QzKcYca4CAf4ezAR0dUwyCIiImorq14Ddn4P6B2Biz4BvMObdrs1bwHJqwAnD+D8/wIOTZ7tT0RtJWoE4OKtfSkiy7T0SdDrrKg0ZsHJgYfcXQ1fcSIioraw7zdg6dPa+ZkvN70qYNom4M9ntPNnvgAEsJIvkV1ycALiJ9RejKs+CD0scK0sQnYRy7h3NQyyiIiIWlvOHuD7G2S+IDB0DjD0+qbdTsq1f3cdYKkCes0GBl3V2ntKRKcjcap2qnOAs9mEGF0WXHVVePCrdSiv0jJc1DUwyCIiImpthmRtClHsWODMF5u+fuuXOwFjMuAbDcx+S1tcT0T2K2GydmrVAqpu+jQ46iw4lJyGA9kl7btv1KYYZBEREbW2HjOAOUu0dVgypagpNn4I7P5JW7914ceAm29r7yURnS6fCK2HnXB0g7uzI+SrkVCHIuzLLubz24UwyCIiImot5UV158P6Ax4BTbtd1g5g0Vzt/JQngcghrbN/RNTy4sZqp8PmIKvvTSizOqHK6oDdGYV8trsQBllEREStYeNHwNvDgLSNzbtdRQkw71rAXAF0nwGccRtfH6KORKYFi+TVGNy3J8p0LnDWWbA11djee0ZtiEEWERFRSzv4h9Y4uCQLOLys6beTdVgL7wHyDwLeEcC573IdFlFHE1NTOTRzG0J83ODjZIanrgJJOQyyuhIGWURERC0pezfw7bXawvcBlzWvcfDWL4Dt36jKZLjgA8Ddn68NUUdcl+UfD1gtcH1/NG62fg0nmOFVWQBjaWV77x21EQZZRERELaU4C/jyYqCyGIgZA8x6s+mZqMztWvZLTJwLxJzB14Woo4ocpp2achBpToWvvgyxDgYcyGGFwa6CQRYREVFLqDQBX10KFKYCAd2ASz4DHJ2b3g/r26uA6nKg21RgTE2wRUQdU4StWI0OrtZS+MOIAMcKDItldrqrYJBFRETUEv56EcjYArgHAFfMa/pUP4sFmH8LYEjS+mGd/19Azz/PRB1a+GDtVO+gTiKRBUdLFXINzGR1FfxfnIiIqCWMewDofS5w6ZfaeoymWvUasP83wMEFuPgzrsMi6gxC+2k97izV6mIksqHXWbF+14H23jNqIwyyiIiIWoKLJ3DxJ0D0yKbf5tAyYNmz2vmzXgHCB/K1IOoMnFyB4N61FyN12ep08fpd7bhT1JYYZBEREZ2q/YuBFS9rpdebqzAN+H6OqkCGQVcBg6/m60DUmUQMrjtrzYQOFhQXGtp1l6jtMMgiIiI6FdJk+NtrgD+f0UqvN0d1hXbb0nwgtD8w82W+BkSdTfgg7dTND/u9RsIFlXC1VqKi2tzee0ZtgEEWERFRc+UdAL64CKguA7pNAfpf0rzb//YAkL4RcPXVqhA6ufE1IOpsArtrpy7eODz8SeRZfGCyOiOrsLy994zaAIMsIiKi5ijKBD47Hygr0CqIXfQJ4ODU9Ntv/BDY9LEq7awaDvvF8vkn6oz8E7TTwlT0jAxCGRzhoLMgpcDU3ntGbYBBFhERUVOVF2oZrMIUrYKglGqXghdNlfw38OsD2vnJjwGJU/jcE3VWnsGAs6dadxnnmAdvmKCHFXvTCtp7z6gNMMgiIiJqaj+rb64EsncAHkHAlT8AHoFNf+4K04FvrwYsVVqp9zF383kn6sx0OiBAy2Y5fzABc3Q/wBXVOJKc2t57Rm2AQRYREVGT/mLqgX4XA64+wBXfAf5xTX/eqsq1AM2UAwT3Ac79t3YARkRdY8qgtM7S5cNLX4GivMx23SVqG45t9DhEREQd3+CrgF5nq2phTSbl3RfcDWRs1m536ReAs0dr7iUR2YuAbrVn/WGEA8wIdWV1wa6AmSwiIqIT2fwZUJJTd7k5AZZY/19g25eATg9c+FHzMmBE1LHVTBeUz7+sx/KDEeWlLHzRFTDIIiIiOp717wM/3w58OAOoKG7+83RwKbBornZ+6tNAwkQ+10RdMZMlX7LIRRhhrmQJ966gSwRZ//rXv9CnTx/07t0bd955J6wydaODqaiowFdffaVOici+8fPaSWz7Bvj1Pu183/MBF6/m3T5nLzDvWsBqBgZcBpxxW6vsJp06flap1UkVUmGpVieBMMBcXcUnvgt8Vjt9kJWbm4u3334bmzZtwo4dO9Tp2rVr0dHIm+qbb77pUG8uoq6Kn9dOYO9C4MdbtfPDbwYmPty825vygC8vBiqKgOhRwKw3WOjCDvGzSq3O3R9wcKm96AmZKtjxvuxvbxUd8Di40wdZorq6GuXl5aiqqlIjODi41R7rnXfeaZPbUMd8DttjP1vzMVvqvk/3fk719s29XUd5n9mzDvEcHl4O89dX1WSgLgdmvNC8AKm6QqskaEzWGg1f8jngWHeQ1ZE/q6d7X/ysdiwd4fPaXvvYrMetaVaeGzEF6QiF7gRBlr18Vk/19vy7Wo+1nf3111/Ws88+2xoWFibvOOv8+fOP2ebtt9+2xsTEWF1cXKzDhw+3rlu3rlmP8eabb1q9vLysfn5+1rlz5zbrtoWFhWq/5LQpevXq1az7b+pt8vLy1H7IKbXM895V9rM1H7Ol7vt07+dUb9/c2zV1e35eW+45b3OpG6zWZ8Ks1se9rdavLrdaq6uad3uLxWr94Wbt9s9FWa05ezvVZ/V074uf1Y7F7j+v7biPzXrc56PV/wm7N62y3vroy9ZbHn3FWl1tPv37bcl9bKHbd4W/q4VNjA3avYS7yWTCgAEDcP311+P8888/5ueSGrznnnvw3nvvYcSIEXj99dcxffp07Nu3rzYjNXDgQJWtOtqSJUvg5uaGBQsWICkpSZ0/88wzsWLFCowbN67R/ZE0ZP1UZGFhoTotKChQWbCTcXR0RH5+frOeg6bcxmAwwNXVVZ1SyzzvXWU/W/MxW+q+T/d+TvX2zb1dU7fn57XlnvM2V+UER6dAbDhSjUG3vgwYtb8BTaVf+284rP8SVinUPOtNWPWBQBN/347wWT3d++JntWOx+89rO+5jcx7XscoBugorKk1FKK7QjlczcnLh7uxot5/VU719V/i7WlysFUE6aY0Hqx1pLJMlmavbbrut9rLZbLaGh4dbn3/++Sbd57fffmv9xz/+UXv5pZdesr744ovH3f7xxx9X+8HB54DvAb4H+B7ge4DvAb4H+B7ge4DvAb4H0MhzkJqaat+ZrBOprKxUhSrmzp1b9y2hXo8pU6bg77//btJ9REVFYc2aNWpNlpOTE5YvX46bbrrpuNvLY0nmzMZisagsVkBAAHTNmZNPRERERESdiuSFJJsVHh5+wu3sOsjKy8uD2WxGSEhIg+vl8t69e5t0HyNHjsTMmTMxaNAgFaBNnjwZs2fPPu72Li4uatTn6+t7ir8BERERERF1Jj4+Pifdxq6DrJby7LPPqkFERERERNSlS7gHBgbCwcEB2dnZDa6Xy6Ghoe22X0RERERERB0yyHJ2dsaQIUOwdOnSBmuk5PIZZ5zRrvtGRERERERkl9MFS0pKcPDgwdrLR44cwdatW+Hv74/o6GhVhOKaa67B0KFDMXz4cFXCXcq+X3fdde2630RERERERHaZydq4caMqSiFDSFAl5x977DF1+ZJLLsErr7yiLks/LAnAFi1adEwxjK5OeoH16NEDiYmJ+N///tfeu0NEx3HeeefBz88PF154IZ8jIjuVmpqKCRMmoHfv3ujfvz/mzZvX3rtERMdhNBpVMkbihL59++L999+HPdDV9KeiDkwaMcsfgmXLlqlqJzLFUsrWS9l5IrIv0kZCSr9+8skn+O6779p7d4ioEZmZmWr9txy0ZWVlqb+r+/fvh4eHB58vIjtjNptRUVEBd3d3NdtNAi1J4rT3cXC7Z7Lo9K1fvx59+vRBREQEPD09ceaZZ2LJkiV8aonskHw77uXl1d67QUQnEBYWpgIsIYW2pBCX9MwkIvvj4OCgAiwhwZbkj+whh8Qgyw6sWLECs2bNUk3NpOHxjz/+eMw277zzDmJjY+Hq6ooRI0aowMomIyNDBVg2cj49Pb3N9p+oqzjdzyoRdbzP6qZNm9Q35VFRUW2w50Rdz4oW+LzKlMEBAwYgMjIS999/v/pipL0xyLIDktqUN4a8gRrzzTffqLVqjz/+ODZv3qy2nT59OnJyctp8X4m6Mn5WibrWZ1WyV1dffTX++9//ttGeE3U9phb4vPr6+mLbtm2qgN6XX355TPundiFrssh+yEsyf/78BtcNHz7cetttt9VeNpvN1vDwcOvzzz+vLq9evdp67rnn1v78rrvusn7xxRdtuNdEXc+pfFZtli1bZr3gggvabF+JurJT/ayWl5dbx44da/3000/bdH+JujKcxt9Wm1tvvdU6b948a3tjJsvOVVZWqqkKU6ZMqb1Or9ery3///be6LKXtd+7cqaYISkn83377TUX4RGRfn1Ui6hifVTnWu/baazFp0iRcddVV7bi3RF1bZRM+r5K1koJSorCwUE0/lIrb6Op9sujE8vLy1Fzwo0vWy+W9e/eq846Ojnj11VcxceJE1az5gQceaPeKKkRdTVM+q0L+MMiUBpkeIXPHpTQ0m6sT2ddndfXq1WqKkpRvt60P+eyzz9CvXz++VER29nlNTk7GTTfdVFvw4o477rCLzyqDrE5i9uzZahCRffvjjz/aexeI6CTGjBmjvrQkIvs3fPhw1UfX3nC6oJ2T6ihSmvLoBXxyWcrKEpF94GeVqGPgZ5Wo4wjswMfBDLLsnLOzs2qCuHTp0trr5Ns1ucwpRkT2g59Voo6Bn1WijsO5Ax8Hc7qgHZBiFQcPHqy9LOUnJe3p7++P6OhoVbbymmuuwdChQ1VK9PXXX1frOa677rp23W+iroafVaKOgZ9Voo6jpLMeB7d3eUPSyjnLS3H0uOaaa2qfnrfeessaHR1tdXZ2VqUs165dy6eOqI3xs0rUMfCzStRxLOukx8E6+ae9Az0iIiIiIqLOgmuyiIiIiIiIWhCDLCIiIiIiohbEIIuIiIiIiKgFMcgiIiIiIiJqQQyyiIiIiIiIWhCDLCIiIiIiohbEIIuIiIiIiKgFMcgiIiIiIiJqQQyyiIiIiIiIWhCDLCIi6vQmTJiAf/7zn7WXY2Nj8frrr7fq4+l0OjW2bt3aKo/xxBNP1D5Ga/4uRETUfAyyiIjILlx77bW1QYOTkxPi4uLwwAMPoLy8vMUfa8OGDbjpppvQmm688UZkZmaib9++x/xs+vTpcHBwUPtxsoDQ5uOPP4avr2/t5fvuu0/df2RkZCvsPRERnQ7H07o1ERFRC5oxYwY++ugjVFVVYdOmTbjmmmtU0PXiiy+26PMcFBSE1ubu7o7Q0NBjrk9JScGaNWtw++2348MPP8SwYcNO6f49PT3VkGCNiIjsCzNZRERkN1xcXFRgEhUVhXPPPRdTpkzB77//Xvvz/Px8XHbZZYiIiFBBTL9+/fDVV181uA+TyYSrr75aBSBhYWF49dVXj3mc+tMFk5KSjpnWZzQa1XXLly9Xlw0GA6644goVnLm5uSExMVEFg6dCbnf22Wfj1ltvVfteVlZ2SvdDRET2i0EWERHZpZ07d6qMj7Ozc+11MnVwyJAhWLhwofq5TPm76qqrsH79+tpt7r//fvz111/46aefsGTJEhUobd68+bT25dFHH8Xu3bvx22+/Yc+ePXj33XcRGBjY7PuxWq0qyLryyivRs2dPdOvWDd99991p7RsREdkfThckIiK7sWDBApWBqq6uRkVFBfR6Pd5+++3an0sGS9Yi2dxxxx1YvHgxvv32WwwfPhwlJSX44IMP8Pnnn2Py5Mlqm08++eS01y3JFL9BgwZh6NChtZmwU/HHH3+gtLRUrckSEmzJ/kqgSEREnQczWUREZDcmTpyopu2tW7dOrce67rrrcMEFF9T+3Gw24+mnn1bTBP39/VVAJkGWBEHi0KFDqKysxIgRI2pvI9v16NHjtPZLpvZ9/fXXGDhwoCrGIRm2UyFrsC655BI4OmrfccrUx9WrV6v9JiKizoNBFhER2Q0PDw81hW7AgAEqIJFgSzI9Ni+//DLeeOMN/N///R+WLVumAjLJCklgdaokW2abymcjhTfqO/PMM5GcnIy7774bGRkZKktWP6PWFAUFBZg/fz7+/e9/qyBLhmTmJGsnv6uNt7c3CgsLj7m9rBPz8fE5hd+QiIjaGoMsIiKySxL8PPTQQ3jkkUdqi0NI1uecc85R0+wkEIuPj8f+/ftrb5OQkKDKv0twZiNFK+pvc7xKg1IO3aax3laynWTXZCqiFM3473//26zf54svvlDTFrdt26bu3zakMIeUZ5csnZCsW2NryOS67t27N+sxiYiofTDIIiIiu3XRRRepEuXvvPOOuixV/aTaoEzXkwIUN998M7Kzs2u3l+mDc+bMUcUv/vzzT1UcQ/pv2bJVjZFqgSNHjsQLL7yg7lOKZkhgV99jjz2mCmkcPHgQu3btUmvHevXq1azfRTJyF154oeqbVX/I/ubl5WHRokW1UxMlKLzzzjuxfft27Nu3D6+99pqqRHjvvfc28xkkIqL2wCCLiIjslkypk35SL730kirNLsHP4MGD1RRBador5d6l1Ht9MqVw7NixmDVrlioBP2bMGFWR8ERkup5M25PtpBHwM8880+DnUuFw7ty56N+/P8aNG6cCP1mj1VTS80syWPXXl9nIFECZfmibFinZuRUrVmDv3r1q/2V9mRT2mDdvnuojRkRE9k9nrT8JnYiIiE6bBIBSJMPWi6s1SaVDCQxlEBGRfWAmi4iIqBVIgQuZvrhjx45WeX6fe+45df+2yopERGQ/mMkiIiJqYenp6bXFOqKjoxs0VG4pUq1Qhq0oBysPEhHZDwZZRERERERELYjTBYmIiIiIiFoQgywiIiIiIqIWxCCLiIiIiIioBTHIIiIiIiIiakEMsoiIiIiIiFoQgywiIiIiIqIWxCCLiIiIiIioBTHIIiIiIiIiQsv5fwqM644h089cAAAAAElFTkSuQmCC", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fg,axs = plt.subplots(2, 1, figsize=(10, 6), sharex=True)\n", "axs[0].plot(sim_compo.grid.r/c.au,sim_compo.gas.Sigma*5e-3,\"k--\", label=\"inital CO\")\n", "\n", "p1 = axs[0].plot(sim_compo.grid.r/c.au,sim_compo.gas.Sigma,label=\"Gas\")\n", "axs[0].plot(sim_compo.grid.r/c.au,sim_compo.components.Default.gas.Sigma,\"k:\",label=\"background\")\n", "p = axs[0].plot(sim_compo.grid.r/c.au,sim_compo.components.CO.gas.Sigma,label=\"CO\")\n", "\n", "axs[1].plot(sim_compo.grid.r/c.au, sim_compo.dust.Sigma[:,0],\"--\",color =p1[0].get_color())\n", "axs[1].plot(sim_compo.grid.r/c.au, sim_compo.dust.Sigma[:,1],color =p1[0].get_color(),label=\"dust total\")\n", "\n", "axs[1].plot(sim_compo.grid.r/c.au, sim_compo.components.default_dust.dust.Sigma[:,0],\"--\",color =\"gray\", alpha =0.7)\n", "axs[1].plot(sim_compo.grid.r/c.au, sim_compo.components.default_dust.dust.Sigma[:,1],color =\"gray\", alpha =0.7,label=\"background\")\n", "\n", "axs[1].plot(sim_compo.grid.r/c.au, sim_compo.components.CO.dust.Sigma[:,0],\"--\",color =p[0].get_color())\n", "axs[1].plot(sim_compo.grid.r/c.au, sim_compo.components.CO.dust.Sigma[:,1],color =p[0].get_color(),label=\"COsolid\")\n", "\n", "axs[1].plot([],[], label='large', color=\"k\")\n", "axs[1].plot([],[], \"k--\",label='large')\n", "axs[0].legend()\n", "axs[1].legend()\n", "plt.subplots_adjust(hspace=0)\n", "axs[0].tick_params(axis='x', direction='in')\n", "axs[1].tick_params(axis='x', direction='in')\n", "axs[0].tick_params(axis='x', which='minor', direction='in')\n", "axs[1].tick_params(axis='x', which='minor', direction='in')\n", "axs[0].text(0.05, 0.95, 'Gas', transform=axs[0].transAxes, fontsize=14, verticalalignment='top')\n", "axs[1].text(0.05, 0.95, 'Dust', transform=axs[1].transAxes, fontsize=14, verticalalignment='top')\n", "for ax in axs:\n", " ax.set_xlabel('Radius [AU]')\n", " ax.set_ylabel('Surface Density [g/cm²]')\n", " ax.set_yscale('log')\n", " ax.set_xscale('log')\n", " ax.set_ylim(1e-8, 1e2)\n", " ax.grid()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The evolution of the chemical component shifts the bulk grain density and the mean molecular weight in the gas self consistently." ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure()\n", "plt.plot(sim_compo.grid.r/c.au,sim_compo.dust.rhos[:,1],label=\"bulk grain density\")\n", "plt.plot(sim_compo.grid.r/c.au,sim_compo.gas.mu/c.m_p,label=\"mean molecular weight\")\n", "plt.xscale(\"log\")\n", "plt.ylabel(r\"$\\rho$ [g/cm³], $\\mu$ [$m_p$]\")\n", "plt.xlabel(\"Radius [AU]\")\n", "plt.ylim(0.5,3)\n", "plt.legend(loc= \"upper left\")\n", "ax = plt.gca()\n", "ax2 = ax.twinx()\n", "ax2.plot(sim_compo.grid.r/c.au,sim_compo.components.CO.dust.Sigma.sum(-1)/sim_compo.dust.Sigma.sum(-1),\"--\",color=\"r\",label=\"CO/dust ratio\")\n", "plt.ylabel(\"CO/dust ratio\")\n", "plt.ylim(-0.1,1.1)\n", "plt.xlim(1,400)\n", "plt.legend(loc=\"lower left\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Common pitfalls setting up simulations using components\n", "\n", "When setting up a simulation with components, there are some common pitfalls to be aware of:\n", "\n", "- for condensating/evaporating components, truncate the initial distribution at the same location as the dust disk \n", "\n", "- for each component `comp` you can check if it’s active in the gas or dust by checking `comp.gas_active` and `comp.dust._active`\n", "\n", "- remember that the code always works in cgs units, so initialze the components accordingly (especially $\\mu$)\n", "\n", "- remember to initalize the relevant parameters for evaporation and condensation for hybrid components, \n", "\n", "- if using dust components, remember to add a \"background component\" as the field `sim.dust.Sigma` will be overwritten by the sum of the dust/gas components, i.e. `comp.gas.pars.nu` and `comp.gas.pars.Tsub`\n", "\n", "- Remember that the gas disk always has one default component called `Default` that is only active in the gas and models the total evolution (if no other components are present)\n", "\n", "- when using components, external source terms are defined on the component level, i.e. set `comp.gas.Sigma_dot` and `comp.dust..Sigma_dot` for external source terms\n", "\n", "- remember tracer components can only have the \"val\" boundary condition" ] } ], "metadata": { "kernelspec": { "display_name": ".venv (3.14.0)", "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": "3.14.0" } }, "nbformat": 4, "nbformat_minor": 4 }