{ "cells": [ { "cell_type": "markdown", "id": "0", "metadata": {}, "source": [ "# Adiabatic losses" ] }, { "cell_type": "markdown", "id": "1", "metadata": {}, "source": [ "This notebook demonstrates a basic **GT simulation** workflow for numerically integrating the equation of motion of a charged particle in the Heliosphere with the inclusion of adiabatic losses of energy.\n", "\n", "Goals of this example:\n", "- Define the `Parker` magnetic field and initial conditions for protons with kinetic energy in range from 300 MeV to 30 GeV, from starting from $(1, 0, 0)$ AU.\n", "- Compute the trajectory with Buneman–Boris (BB) and an energy loss due to adiabatic losses.\n", "\n", "Expected output:\n", "- A plot of energy loss dependence over time for protons of considered initial energies." ] }, { "cell_type": "code", "execution_count": 1, "id": "2", "metadata": {}, "outputs": [], "source": [ "from datetime import datetime\n", "\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "from gtsimulation.Algos import BunemanBorisSimulator\n", "from gtsimulation.Global import Regions, Units\n", "from gtsimulation.MagneticFields.Heliosphere import Parker\n", "from gtsimulation.Particle import Generators, Flux" ] }, { "cell_type": "markdown", "id": "3", "metadata": {}, "source": [ "## Problem setup: field, particle, and integration parameters\n", "\n", "This section defines the simulation setup:\n", "- `date` (used by time-dependent field models);\n", "- the `Heliosphere` region and the `Parker` field model;\n", "- in region parameters if we activate *additional energy losses*;\n", "- particle initial conditions: 10 batches of 10 protons in energy range from 300 MeV to 30 GeV with an initial coordinate $(1, 0, 0)$ AU;\n", "- integration settings: number of steps `n_steps`, and time step `dt`;\n", "- which quantities to store in the track (coordinates, velocities, energy, and time along the trajectory);\n", "- simulation using BB scheme." ] }, { "cell_type": "code", "execution_count": 2, "id": "4", "metadata": {}, "outputs": [], "source": [ "date = datetime(2008, 1, 1)\n", "region = Regions.Heliosphere\n", "# including the adiabatic energy losses into the calculation\n", "region.value.set_params(CalcAdditionalEnergy=True)\n", "bfield = Parker()\n", "\n", "medium = None\n", "use_decay = False\n", "nuclear_interaction = None\n", "\n", "energy_array = np.geomspace(3e2, 3e4, 10) * Units.MeV\n", "flux = Flux(\n", " Spectrum=Generators.Spectrums.UserInput(energy=energy_array),\n", " Distribution=Generators.Distributions.SphereSurf(\n", " Center=np.array([1, 0, 0]) * Units.AU,\n", " Radius=0\n", " ),\n", " Names=\"proton\",\n", " Nevents=energy_array.size\n", ")\n", "\n", "save = [100, {'Energy': True, 'Clock': True}]\n", "\n", "n_steps = 100_000\n", "dt = 1\n", "\n", "# n_steps = 1_000_000\n", "# dt = 0.1\n", "\n", "forward_tracking = 1\n", "n_files = 1\n", "output = None\n", "\n", "break_conditions = {\"Rmax\": 80 * Units.AU}\n", "verbose = 0" ] }, { "cell_type": "code", "execution_count": 3, "id": "5", "metadata": {}, "outputs": [], "source": [ "simulator_BB = BunemanBorisSimulator(\n", " Bfield=bfield,\n", " Region=region,\n", " Medium=medium,\n", " Particles=flux,\n", " InteractNUC=nuclear_interaction,\n", " UseDecay=use_decay,\n", " Date=date,\n", " Step=dt,\n", " Num=n_steps,\n", " Nfiles=n_files,\n", " BreakCondition=break_conditions,\n", " Save=save,\n", " Output=output,\n", " ForwardTrck=forward_tracking,\n", " Verbose=verbose\n", ")" ] }, { "cell_type": "markdown", "id": "6", "metadata": {}, "source": [ "To reduce runtime, the computation is parallelized over batches." ] }, { "cell_type": "code", "execution_count": 4, "id": "7", "metadata": {}, "outputs": [], "source": [ "from concurrent.futures import ProcessPoolExecutor\n", "\n", "def worker(seed):\n", " np.random.seed(seed)\n", " track_list = simulator_BB()[0]\n", " return track_list\n", "\n", "with ProcessPoolExecutor() as executor:\n", " futures = [executor.submit(worker, i) for i in range(10)]\n", " results = [f.result() for f in futures]" ] }, { "cell_type": "markdown", "id": "8", "metadata": {}, "source": [ "## Energy loss vs time\n", "\n", "Here we plot the relative energy loss $\\left(-\\dfrac{\\Delta T}{T_0}\\right)$ dependence on time for protons with considered initial energies.\n", "\n", "We have an ensemble of initial conditions, as we considered 10 batches of particles. This allows to estimate the median relative energy loss (the solid line) and the $15\\% \\div 85\\%$, i.e. $1\\sigma$ spread (the shaded area)." ] }, { "cell_type": "code", "execution_count": 5, "id": "9", "metadata": {}, "outputs": [], "source": [ "adiabatic_losses = {energy: [] for energy in energy_array}\n", "time_energy = {energy: [] for energy in energy_array}\n", "\n", "for event_list in results:\n", " for event in event_list:\n", " T0 = event[\"Particle\"][\"T0\"]\n", " E = event[\"Track\"][\"Energy\"]\n", " t = event[\"Track\"][\"Clock\"] / Units.day\n", " adiabatic_losses[T0].append(E)\n", " time_energy[T0].append(t)" ] }, { "cell_type": "code", "execution_count": 6, "id": "10", "metadata": {}, "outputs": [ { "data": { "image/png": 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b7cZiseB0OsuuIRAIBI8ys/GUmjhdjnPjEeYSaWoMWvZtevDdq4shxnw8poTDYQYHB9WRFYODg1itVnUI6qFDh/Km2a8mXq83b2Cs0+lUh706HA4+/PBDuru7CQaDOBwOrly5kne93+/H7XZz5MiRouvnRnYEg0H6+/sLBruGw2GsVitdXV0lB9fm6OnpwWazYbfbC9bJXbvcGgKBQPAo800gSFouPxxDXuQl6txmQaddnz6Z9bkrwZoTDAbLzvDq7OwkGFw+Pnw3vP322yXPDQwM5AmxYgNfA4FARfPHcsJusScKYHh4GLvdXvF+Ozs7sdlsBV6n3DBbgUAgeFyZnktwZmxmWbuLE7PMxFJU6bU8tbnhPuzs7hCiaI1QFIVoKnrfvyodZXfw4MFVsbkbrFYrdrudQCCAz+fjwIED6rnFQ1gHBgYKQlNer7diIWI2mzl48CBer/ee97zYm5XD7/eL4bACgeCx5ovLUyz32pFlhW8XkrCf22pGv069RCDCZ2tGLB3jh//7D+/7fb/9599SrV9+hkwxD8zd2NwNAwMDvPHGG3R0dNDb21tUbLz99tscOHAgL2QVDodXvCen04nD4VBDXH6/n66urgLvEWQ9PzmhMzQ0RF9fn3qut7cXl8uV56Vaq++PQCAQPAzcCEUJTM4va3dhYpZwNIVJr+GZNnNJO11sClj9gbArQYgiwYoIh8McPXq0rE1jY2PZPBufz0dfXx+BQED1BC0WRrlwlcvlyvMMvfPOOwV5PcuRC8X5/X41JFgsTyoQCOByuTh27BiQDS+63W71OcxmM93d3fT399PX14fH41kzT5pAIBCsdxRF4YtLU8vaybLCtyNZL5F9qwWDrriXyJQKY4qEgF2ruc0Vs65EUSAQwOv1YrPZCAQC9Pb2lvxrvJytz+cDsi/woaEhDh06lPdyhOzLMhAIEA6H1ySZuEpXxbf//NtVX7eS+64lZrM5z4OyUgKBQJ4Xpru7G7vdjsvlygtFmc1mHA4HBw4cIBQKMTw8fNcipKenh/7+/gKP1GL6+/uxWq3q7w7A0NBQno3T6eTw4cP09fXdlddKIBAIHhUu3Z5jfCa+rN35W3dyiZ4u4yVqjZwA65ZV3OHdsa5EkcPhUP9SDwQCHD58mIGBgRXblqtg6u/vVxNmu7u7S65/r0iSVFEY62HjXj1Ffr+f/fv3q59tNhtHjhwhHA7j8/lwOByEQiH1HKCGut555x31ukAgwNGjR/MEbymcTid2ux2Hw5GXs7SUzs7OvPNLvVI9PT04HA48Ho/IJRIIBI8t6YxckZcoIyt8t5BLZN9W2kukz0TZEL0ECFGksjTHw2az5f3VvhLbchVMdrtdfemKv/RXzr16ijo7O+nv789Llp6enqazsxO/358nSvx+P2azuajocTqdOJ3OsuIk18fIZrNhs9kYHBwsKYoOHTrE4cOH8475fL4C+56eHlwul/o7JBAIBI8bJ27MMBMrP/QV4NytyCIvUemKs5bZ00hK+caP94t1I4p8Ph9Wa36CldVqVXNBVmK7XAWTEEN38Pl8BAIBNazo8Xjo6upak5AiZAXKgQMHcLvd6s8h9/Pp7Ozk0KFDqidvcHBQ9QbmCIfD6vm+vj6cTmfBXv1+P0ePHlXFc09PT56A8nq9DAwMMDw8jMfjobe3V+1t5HK5VE9WMQF15MgR4SUSCASPLfFUhu9Glm/XkpEVhhbsurZbSlacaeUkLXNnV3WP98K6EUWluhMX65VTiW25CqZcifbQ0FBJb0MikSCRSKifI5FIJY/x0JF78a80gfle71nKY7PYg1RsT2azmTfffLNsIndnZ2dBWHTxWj09PUXL+svta/HaayUYBQKBYL3z7UiQeCqzrN258QiReJpqQ/m+RM1z59DKydXc4j2xbkRRKUoJoOVsS1UwLU7IznktlnZMBjh69Ch/9Vd/dS9bFwgEAoHgkSEcTXJiNLys3eJcoq5tpb1EkpJm0+yp1dziPbNuOiiZzeYCr1AwGCwa6qrUNlfB5HA4VMG0OB8pV7lWrGfNkSNHmJmZUb9GR0fv7sEEAoFAIHgE+PzSFJllxnkAnBmbYTaenXFWzku0Yf4yhkx0Nbd4z6wbUVQqbNHV1bUiW5/Ph8ViUY8trmDy+/288cYbBdctzU8CMBqN1NfX530JBAKBQPA4ciMU5fLtuWXt0rLM0NVsIUrXdmvpGWeKTGvkeN6hxmrDvW7znlk34bOleT2BQICuri7V+5OrRMpVEpWytVqtJSuYwuFwXuVUbnaVSLwWCAQCgaA4iqLw6cXJimzP3Iwwl0hTY9TyZGtpZ0JjNIApfSdXt9aoo7neeM97vVfWjSiCbKVYrvpnaGgoL1n26NGj7N+/X02wLWVbroLJbDbT1dWlVj5duXJlzfoUCQQCgUDwKHB2PMLtSGJZu1RGVnOJ9pf1Eilsjnyfd6itFqRbJ2Hbj0GS7nnPd4ukVDpB9DEnEonQ0NDAzMxMQSgtHo8zMjJCe3s7JpPpAe1Q8Kggfp8EAsF6IZHO8L9+dZX5xPIVZ0NXg3x1ZZp6k45/9aPtaDXFxY0lepXdUx+on6sNWp5On0K69iU89y/hj/8fq7Z/KP/+Xsq6ySkSCAQCgUCwvhi+GqpIEMVTGY5dy+YS/cjWWFIQoSi0Rfx5h9rqtEg3F3rS7SjM+72fCFEkEAgEAoGggJloCv+1yrr3H7sWIpGWaawxsKulrqSdOT5KTfLOiJAqvQbrzBlIx6GhDfb++p73fS8IUfSY4vP56OjowO124/F4sNvt2O12PB4PLpeLjo4Otcv1WuD3+7Hb7UX35fP58Hq9uFyuvD3kJtnn9ri4L5Xf78ftduN2u/NaMBS7r9PpRJIkNe9sKQ6HA4vFgtvtLvsMXq8Xu92OJEkFtm63G4vFUtBNXSAQCB4WPrs0SbqCEvz5RJrjC/2LftTRiKZUTlCRXKLWej3SjYXh208dBI32XrZ8z6yrRGvB/SMcDjM4OKhW8g0ODmK1WtXOz4cOHSIQCKxJ92av14vNZisqusoN8z1w4ADHjh3DbDbj9/txuVz09/cDWTGVS8J3u9288cYbBSNCAHWcRzAYpL+/v6Brdjgcxmq10tXVVbZrNmQ7Y9tsNux2e8E6uWuXW0MgEAjWI6PBykrwIZtLlJYVWupN2JpqSto1JG5Sl5hQPxt1GprmLkBqHoz10PHaPe/7XhGeoseUYDBYdoZXZ2dn0RErq0FPT09JsVVqmG9u4G/uc2dnp+rpyc06W7y+3+8v2pQzR070LbUZHh4u6sEqRa5z+lKvU67dg0AgEDxsyLLCJxduV2Q7E0tx6uYMAD/uaEQq5yWayf9DeHODAc3ot9kPW34ImgfvpxGiaI1QFAU5Gr3vX5UWEx48eHBVbFabUsN8y4XDOjs7eeutt9RjOdtiTTlzmM1mDh48qM7BuxecTqfqsVq8LzE4ViAQPIycuBFmaq6yeWTfjkwjK7DFWsUWa3VJu/rEOPWJW+pno07DhugVSERAXwMtT9/zvleDBy/LHlGUWIwLnZV7HFaL3f5jSNWlfzFzVNKw8kE1tSw2zLezszPPq5MLveW8WYu9Mm+//Tbd3d3L7t/pdOJwONQQl9/vp6urq6iHyefzqUJnaGgorwlob28vLpeLQCCgCiHREFQgEDyMRJNpvg5MV2Q7PZfg/PgsAD/uaCpru7TibFO9Ac3FbxZO7getfuWbXQOEKBKsiHA4nBeqKkZjY+M95dIUG+Zrs9no6+vD4/Fw8OBBVbgs9QaFw2G8Xm/RfKJi94E73qZgMFg0rJdL8M6tGQwGcbvd6jOazWa6u7vp7+/P26NAIBA8bHx5eZpESq7I9uvANArQsaGGlvrSPdXq4uPUx8fUzwatho3J6xALgs4Irc/d67ZXDSGK1gipqord/uVfzGtx37XEbDbneUnW8j4Oh4MDBw4QCoUwm828+eabah5QLsy2NETlcrkYHBys2FPT09NDf39/QfhrMf39/VitVjWvCWBoaCjPxul0cvjwYfr6+giHw8JTJBAIHjomInHOjM1UZHsrEufK5DwS2b5E5dgSyX8XtjYY0VxZ8BJt7soKo3WCEEVrhCRJFYWxHjbW0lPk8/lwOByEQtm+GIuH+ebCZ7ljOe/OYvHhdrtxuVzYbDY1r6iSEJrdbsfhcJQcNAxZr9Li80urzXp6enA4HHg8HpFLJBAIHjoUReGj87epJC1VURS+vJztNbRnUx2NtaVFTaGXSKI5MwZzE6DRZ0XROkKIIsGKWG1P0WKvSrlhvgB2u52RkRHMZrMaqsrh9XrVsFs4HOadd94pEC5L7wuoA4YHBwdLiqJDhw5x+PDhvGM+n6/AvqenB5fLpYo6gUAgeFg4Mxbh1ky8Itur01FuhGJoNRLPt6/MS7SpwYR2ZMFL1Poc6O9ENxRF4cFNPcsiRNFjjs/nIxAIqInLHo+Hrq6uNelPtPieg4ODwJ1Bv7ky/VLDfAH6+vrw+Xxq/6KcKAkEAjgcjrx7mM3moqIoV76fy0nq6enB6XSq3h2v18vAwADDw8N4PB56e3vV3ka5AcRAUQF15MgR4SUSCAQPHfFUhi8uTy1vSLZcP+clerbNTH1V6QTp+vhYgZdoozIJkRsgabMJ1gsoisJobJKtd/kMq4UYCFshYiCs4H4hfp8EAsH95MNzE5y8UVku0emxGT48dxujTsN/8ePtmPQlOlArCvtu/1NeGf72xmo2Xf17CF+DTc/Brp+q50ZTs9zeuBv7M//6Xh6lKGIgrEAgEAgEgmW5NRNXmy8uRyoj882VbLn+D9qtpQUR2e7ViwWRQSvRLE9mBZGkga3P59l/n5i8i92vPkIUCQQCgUDwGCLLlSdXA3x/Pcx8MkO9ScfTbQ2lDRWFtpklFWfmKrTXv8x+aHkaTHeuv52OciNd2UiRtUaIIoFAIBAIHkNO3ZxhIlJZcvV8Is3wtWyz3B93NKHTlJYP5vhowYyzjcpiL9GP8uz968RLBEIUCQQCgUDw2DGfSPPllcqSqwG+HQmSyihsrDeya2NtaUNFYcvMcN6hVnMVmmvFvUThTIKRdGRFe19LhCgSCAQCgeAx4/NLkxV3rg7NJzm90NTxxR1NpYe+AtbYCDXJO2LLqNMsySXK9xJ9n5i8M7PTULPCp1h9hCgSCAQCgeAx4vp0lHMLM8sq4csrUygKtDfV0GYp05RYkQu8RG2W0l6ieTnFhdRCXzedEczbKt7TWiFEkUAgEAgEjwnpjMxH5yeWN1zgZiimjvN4cUf5oa/N8xepSoXVzya9hg2ZSQhfLeolOp6YRM55iRraoEye0v3iwe9AIBAIBALBfeG7q0FC0VRFtoqiqE0dn2itx1pjKGkrKemCirM2SzWS6iV6Ks9LFJPTnE0ueIm0BqjduIKnWDuEKBIIBAKB4DEgOJ9k+GrlY4gu3JrlViSOXivx/DJDX1tmz2DIzKufqw1amtK3S3qJTiWnSSmZ7IeGNtCU7nl0PxGi6DHF5/PR0dGB2+3G4/Fgt9ux2+14PB5cLhcdHR3q6I/Vxu/343a7cbvdOBwOdQ5Zbl8+nw+v14vL5crbQ7nryp1bem+n04kkSeo4kaU4HA4sFgtut7vsc3i9Xux2O5IkFdi63W4sFgtOp7P8N0MgEAjuA4qi4Ds3QUaurClRKiPz5UKjxv3brdQYS08F08oJNkeO5x3bYqlGur7YS2RWzyWVDKeS0wsX66GupeLnWGvE7LPHlHA4zODgoDqra3BwEKvVqs4LO3TokDqdfrXx+Xy8+eabQFY8vPHGG+qMM4fDwYcffkh3d7c64+zKlSvLXlfu3GJyc8yCwSD9/f0F89HC4TBWq5Wuri51vVL09PRgs9mw2+0F6+SuXW4NgUAguB+cGYtwMxSr2H74Woi5RJp6k47ntpjL2rZGTqCTE+rnWqMOS3oCQleLeonOJIMk5HT2wzryEoHwFD22BIPBssNLOzs7CQaDq37f3EDWHD09Pfj9fnVA68DAQJ4QM5vNy1633JrFyIm+pTbDw8PY7faKn6ezsxObzVbgdfL5fPT09FS8jkAgEKwV84k0n12qvEFiJJ7i2LVsmO3FnU3otKWlgj49z6bZ03nHtlqrka59lf2wMd9LlFJkjueaNWr1ULep4n3dD4QoWiMURSGVyNz3r0rn+x48eHBVbFZKZ2cnb731lvo5F+ayWq1A/vT5gYEBNfxU7rrl1iyG2Wzm4MGDeL3ee3oeAKfTSX9/f94xv99fVnQKBALB/eKTC5X3JAL48vIUGVlhs7mKHRvKNGoEtswMo1HS6ueGKj0NiXEIjRT1Ep1LBomtUy8RiPDZmpFOynj+u0/v+317//0r6I3L/5LlPDD3anM3LPagvP3223R3d+fdy+/38/bbb3PgwIG8sFS565ZbsxhOpxOHw6GGuPx+P11dXUU9TD6fTxU6Q0ND9PX1qed6e3txuVwEAgFVCK3V904gEAhWwpXJOS5OVN6TaCwc4+JEdg7Zy7vKN2qsSoVonr+Yd2yLxQTnPst+aHkGqszqubQi3xn8qjWsOy8RCFEkWCHhcDgvVFWMxsbGinJpwuEwXq+3IPcnF5JyuVx4vd6CMFSp65Y7t5RcmM7v96vhwmI5VIFAAJfLpa4ZDAZxu93qM5rNZrq7u+nv76evrw+Px7MmXjaBQCBYCYl0ho/P367YXlEUPr2YFS1PtNbTXGcqa781/B1wJzphrTFQF70BkRug0cG2H+fZX0iGmJcX2gGsQy8RCFG0ZugMGnr//SsP5L5ridlszvOS3Asul4vBwcGiXhWz2YzD4eDAgQOEQqE8m3LXlTtXjJ6eHvr7+wvCX4vp7+/HarXi8/nUY0NDQ3k2TqeTw4cP09fXRzgcFp4igUDwwPny8hSz8fTyhgucuzXL7dkEBq2GHy1Tgl8XH8cSu6Z+loAtZhOcXvAStT4Hxjr1fEaROZbzEukMBRVnwXiQ/+X0/8Lm2s201Dy4ajQhitYISZIqCmM9bKyWp8jtduNyubDZbGoO0PDwMA6Hg1Aom+CXC0UtroIrdl1OgJQ7Vwqn04ndbsfhcOTlMy2ls7Mz7/zSarOenh4cDgcej0fkEgkEggfOjVCUE6MzFdsn0zJfLTRq3N9uKVuCj6KwLfxt3qENdUaqIwGYu5UNjW3JzyW6kAozJyezHxq2FHiJhm4NEZgJYBw28j+98j9VvO/VRogiwYpYDU+R1+tVQ2ThcJh33nmH3t5erFZrnvDw+/2YzWZVEJW6brlzxciJJpvNhs1mY3BwsKQoOnToEIcPH8475vP5Cux7enpwuVyqqBMIBIIHQSoj4ztb+SgPgOFrQeaTGRqq9Dy7TAl+YyxAbfJOWE4jQZvZCMcXvESbu8BwZ0ZaRpHxxxfsdUaozfcETUYnCcwEkIB/8/S/WdG+V5t1JYoCgQBerxebzUYgEKC3t7fkX/rlbHNhjnA4zNDQEIcOHVJfrCu5x+OAz+dTy9oBPB4PXV1da9KfCLLff4fDkXfMbDbT29tLZ2cnhw4dUsvbBwcH1TyecteVO7eUXPl+Lpm6p6cHp9Opene8Xi8DAwMMDw/j8XjUffX19eFyudi/fz9AUQF15MgR4SUSCAQPnG8C0xWP8gCYiaXwXw8D2flmujIzyCQlvZBLdIeWBhPG4AWIToPOBFt+kHf+YipMJOclMm8tmHE2NJFNR/iR6Ql2WHZUvO+1QFIqreG+D9jt9ryXoMvlYmBgYMW2FouFDz/8kM7OTjweD319fWoDwJXcYzGRSISGhgZmZmaor6/POxePxxkZGaG9vR2TqXximkCwHOL3SSAQ3C23ZuL8/4aus5I3+z+eGGNkap42SxW/eW5z2YqzltlTbA99rX7WaSSea6tDd+z/BfEwtL+SV4afUWT+v7MXs6JIXwWbO7Ol+rn9zt/i7y7/HRoF/qa5l5//4r9d0fNWQrn391LWTZ+ipWXQNpstL7F1JbalGgCu5B4CgUAgEDxMpDMyH5y9tSJBNDI1z8jUPBoJXtvdXFYQaTNx2mbyxz9ttlShu306K4j0NbA5v/ltgZdIWuIlupX1EtkjjbToSveWu1+sG1Hk8/kKmu1Zrdai87eWsy3VAHAl9xAIBAKB4GHi25Eg03PJiu3TGVktwX9uiwVrjaGs/ebI8bxxHkadhpYaLVxbmHG29UfZJOsFMorMsVwukaEaajbkrXdz7iY35m6gVSTemF4f88/WTU5RqQGexUZNVGJbrAHgSu6RSCRIJO788CORSImdCwQCgUDwYJmIxBm+urIij2PXQ8zEUtQYtfygvbyXxpiOsGkuf5zHFks1mvHjkJwDYz20Ppt3/kKel2gbLPJCKYrCd7eyuUk/mGnCkjauaO9rxbrxFJWilJBZzrazs5MjR45w5cqVZUc5FLvH0aNHaWhoUL+2bNlS8T4EAoFAILhfpDMyH5y5hbyCuFkklmJoQUS9tGMDBl15ObAt/C2ScmdUSI1RS1OVAqML+UXbXsg2bFwgz0tkrIXq/L5H12evc2v+FjpZ4vXpjRXve61ZN6LIbDYXeGyCwWDJxn6V2OYaADocDrWhXqX3OHLkCDMzM+rX6OjoXT2XQCAQCARryTeBIFMrCJsBfHZpkoys0GapYtfG8vPN6uLjWKMjece2WWuQRr+DVAyqLNDyVN7588kQs2W8RN+OZ/scvRDeQH2mfNjufrJuRFGpHjFdXV0rsvX5fFgsFvXY4gaAK7mH0Wikvr4+70sgEAgEgvXE+EyM4WuFKSDluDo9z5XJbHL1q7s2lE2uRpFpD32Vd8hSradBk4AbC53921/JS6BOKzLDiQUvkak+K5oWcSl8ien4NKaMlleD6yOXKMe6EUVL+7sEAgG6urpUL47f71erx8rZlmsAuNw9BAKBQCB4WEhlZD44M7GiarO0LPPJhWxy9TNbzDTWls/l2Th3nurUtPpZArZaq+HaFyCnoK4VmnbnXXMmGbwz42yJlygjZ9RcoleDG6mWsyE3TTKN5twVHnSXoHWTaA3ZSrFcg7yhoaG8/kFHjx5l//796viIUrblGgAudw+BQCAQCB4Wvrw8RXB+ZWEz//UwM7EU1QYtP1wmuVqXibNlJn/OY3O9ker0DIyfyB6wvZYnelJKhu9zM86qLFBlzrv+zPQZZpOz1KX1vBBuVo/XX7qF4Z/8jE8kaP3r/+uKnmk1WVfNG9czj1rzRp/Ph9PpxOl0Yjab1YGoTqdTTU5f2u9pNe8NpTuO51onBAIBenp68rpN57yA5bx7LpeLI0eOFLXx+/309/fj8Xjo7+8v2vXa4XDg8/k4cuRI2RluXq+Xo0eP4vf76evry7N1u90cPXqUgwcPlh02W4yH8fdJIBDcX0aDUbzHbqzomkgsxf/nm2ukZYWfPrGRPS3l00Js05/SPH9B/azVSDy7xYzh/N/D1EVo3AFP9uRd44/f5pv4reyH1mfzhsImM0n+t/P/G/F0nD+d2MLzM9kSfU0yzZb3TqBJZ9j87/899T/9yYqeazlW0rxxXXmKBPePcDjM4OCgKjgGBwexWq2qSDh06FDeINbVxOFw8OGHH9Ld3U0wGMThcKgdx71eb564cDqdqqhYOsoDKBAjfr8ft9vNkSNHit47N7IjGAwWFUXhcBir1UpXV9eyQ21zgs1utxesk7t2uTUEAoFgpSTSGT5Y4WwzRVH45OIkaVlhs7mK3RvrytrXJW7lCSKAzeYqDHNjWUGEBO2v5u9LyfB9MjtUlpqmPEEEcGLyBPF0nKakkf0zTerx+su30KQzaDa3Uneg9GDu+8G6ySkS3F+CwWDZOV2dnZ1F+zetBqU6jgO8/fbbRa8Jh8MMDAygKIr6tVQQQdbTVMn8sZzoW9rlfHh4GLvdXuKqQnK5arlwbQ6fz0dPT0+JqwQCgeDu+eTCJJFY5bPNAK5M3ulc/fqe8p2rJSVDe/DzvGNGnYZN9UYIfJI90PJUVvgs4nhikoSczobTzNvyzkVTUU5MZkNuP51qRUv2/ppkmvrLWYFn+dPfIJWZu3Y/EKJojVAUhVQ8ft+/Ko2GHjx4cFVs7oZSHcch22HcbrerYbQDBw6o5xaLDK/XWyA6ih0rhdls5uDBg8v2sKqExd6sHH6/XwyHFQgEq87l27OcHVtZM+FEOqN2ru7aZl22c3Vr5CTVqfxGkFut1WiClyFyI9uPaPtLeeejcpqTiYWE7NrmbAfrRRybOEZKTrE5Xs2Tc2b1eP3lCbSpDFgsRLevzSDylSDCZ2tEOpHg//6v77+n4N/+r170FeShVFJxt5ZVecU6jkNWJL3xxht0dHTQ29urio3FewmHwwWerlwfqpXgdDpxOByqt8nv99PV1VXgPYKs5ycndIaGhujr61PP9fb24nK58rxUoqJRIBCsNvOJNL5zt1d83TdXgswl0jRU6dm/3VLW1pQKszmSP/qqzqSjsUYH5z7NHti8vyA0dixxm5SSyZbmm7fmnQvFQ5ydPgvALyY3o1nwEkmpNPWXs/lH8SdeRrMy59eaIESRYEWEw2GOHj1a1qaxsXHZXJpc2MnlcuV5eHw+H319fQQCAdWDtNQL43K58kQJwDvvvFM0aXq5PUBWDOXChcVyqAKBAC6XS61iDAaDuN1u9RnNZjPd3d309/fT19eHx+NZMy+bQCB4PFEUhcGzE8SSmRVdNxGJc+JGGIDXdm9Apy0TIFIUbKEv0Cj599jeWIM0dgKi06Crgq0/zDsfkZOcSS54ieo3gS7/D/Nvxr9BRmbvXD07YnfEVMOCl0hpsHDd8gMmPo6RaR5j3wutK3rG1USIojVCZzTyb//Xew/N3M191xKz2VwgSO5lLYfDwYEDBwiFQgSDwTwvTHd3N3a7HZfLpXpgwuEwPp8vzxPj8/nuWoT09PTQ399ftkKsv78fq9WqVs0BDA3ll6k6nU4OHz5MX1/fXXmtBAKBoBwnb8wwMjW/omtkWeGj87dRgN0b69jWWFPWvnn+AvXxsbxjG+qM1GpScPWz7IHtLxaInqH4RHbEiEYLDfkjsW7O3eRq5CqSIvGLyTb1uJTKUH8p6yWa2fsGE/N1pGSYC8ZX9IyrjRBFa4QkSRWFsR427tVT5PP5cDgchELZePXijuOBQID9+/ertjabjSNHjuTNphseHi4qON555x31vwOBAEePHs0r9S+F0+nEbrfjcDhKdjyHrFdp8fmlXqmenh4cDgcej0fkEgkEglVlei7BZws5QSvhxI0wt2cTGHUaXtrZVNbWkJ5jW/jrvGNajZRt1BjwQTqenXLf+lz+3jJxLqbC2Q8NbaDVq+cUReGrsWw37OdnGmlO3XknNly+hTaVIVNv5Ya1i1RUi9Eo8dxP8hO07zdCFAlWxL16isp1HM/1S1qcLD09PZ0nbPx+P1ZrfsOxpWIm13+pnDjJCS2bzYbNZmNwcLCkKDp06BCHDx/OO+bz+Qrse3p6cLlcquATCASCeyWdkXnv9C3S8spaCs7GU3wdyIa0XtjRRI2xzOteUWgPfYlWzk/q2WyuwhCfhrHvswc63sgb5wHwTfxWtsBHa4D6zXnnLoYuMhWbwihr6Z7epB7XJNM0XMx6iYJ7f8JULOvB2rVHj96oXdFzrjZCFD3m+Hw+AoEAfn82sc7j8dDV1bUm/YmgfMdxm83GgQMHcLvdqjdocWVajlJiJxwOq+v29fXhdDoLnsPv93P06FE1mbqnpydPQOWaVg4PD+PxeOjt7VV7G+U6oUPx+XtHjhwRXiKBQLCqfHVlmsnZxIqv+/TiJKmMwqYGE0+2lm9Y2Bi9giV2Le+YKVeCf+rvAQWadoFle57NWHqea6mFSjjzlmz4bIGUnOLbW9mhr69Pb6Q2c8eD1HBxHE06Q7qhiRsWO3Jcg0mXYnNb1Yqfc7URHa0r5FHraC1Yv4jfJ4FAAHBtep7f+m+u+LrA5Bz/dHIcjQT/7AdbaSoz30yfifLM+AA6OV947d5YhzUagLN/D5IW9h/OG9mhKAq/nb/CRDoK+irY3JnnRTo2cYzvbn2HOWPkfwjsRa9kz2kSqWz36ozM2Av/B87r7YDEtoYw+15qxfar51f8vMuxko7Wok+RQCAQCATrjGgyzftnbq34ukQ6w0cXsmX7z221lBVEKArtwS8KBJG5So/FKMPlheKSLT8smGEWSEeyggjAsi1PEM2n5vn+djbk9vPbm1RBBGC+MI4mI5OwtDBa/TQgUWdIUGNYB/X4CFEkEAgEAsG6Ild+P59YWfk9wBeXpphPZDBX6Xl+mYGvjdErWGNX845JwPamGqSrn0NyLjvUdduP82wyinxnvpmxFqrzk7i/HvualJxiS6KWZ2bv9EXSxpLUXcl2rx57sof5lAEJhY21cyt+zrVCiCKBQCAQCNYR34+GCUyurPweskNiTy90u+7eu7FsTyJ9Jkp76MuC45saTFTFb8PNbK4nO3+a7WC9iDPJIDOZBe+SpT071mOBsbkxLoUvAfCnt9qQuHPOfH4MjawQa9rODf0uAKxVMQxaecXPulYIUSQQCAQCwTrhdiTOF5emVnxdKiPz4fls2OypzQ1stpRJWlYUbMHPC8JmBq2GzWYjXPxD9kDzEwXJ1Qklw3Bioat2tTUvrJZRMnx+Mzsz7YeRDWxO3Bn1oZtPUDeSbStw9Yn/jJSsRafJ0FQdXfGzriVCFAkEAoFAsA5IpDO8e2qczArL7wG+vjLNTCxFrVHHCzsay9pumL9YUG0GsLWxGt349zA3ATojdLxeYONPTBLPDX1dIphOT50mGA9Spej52e1NeefM58eQFIXZ1ieZ0GRL95tr5tFq1letlxBFAoFAIBA8YBRF4ePztwlFV55wPD4T4/vRMACv72nGqCvd68eYnmV7+KuC4/UmHU36OFzNenpofw0M+R2wI3KSk4kFL1ZNc975+dQ8Q7eynf5/PrmJavlOyE03F6f2Wva6y7sOIisaqnQpGoz5nipNVf4Q2QeBEEUCgUAgEDxgzoxFODc+u+Lr0rKsDond01JHe1OZUR6KQkfw04ImjRKwvbEa6eIHkElmmzBueqbg8m/jt8gocrbSzJLfefqb8W9IySla5Xr2h/M9VeazWS/R5PYXCZE9t7F2bnEqEprqavRb2njQCFEkEAgEAsEDZGouwScLZfQrZehqiOB8kiq9lpd3bShr2zJ3umC2GUBLg4ma8EUIXsn2JNr187zkaYBb6SiXkuHsh4bN2fDaAmNzY1wMXQTgN6Ob0CxKrtZHYtSOTqEgcWX7r7OXG+NU69N56xu2baWqXPuA+4QQRY8pPp+Pjo4O3G43Ho8Hu92O3W7H4/Hgcrno6OhQu1yv1f09Hg8+ny9v0OpiXC5X3tyzctflPnu9XlwuV8m9+/1+nE4nkiSp3a+X4nA4sFgsuN3uss/g9Xqx2+1IklRg63a7sVgsRTtyCwQCQY5kWubdU+OkMivPrZmcTTB8NQjAq7s3UKUvHTarSoXYGv6u4LhBq6GtRobLg9kD216AmvwSe0VR+Co+nv2g1UP9HY/O4uRqe7yFLYl8T1XDmXEkYHTPr4lSg0aSaa7Jr6zTWa2Yt2/AsunBh8/EmI/HlHA4zODgoDqWYnBwEKvVqg46PXToEIFAYE3Gffh8PgYGBujv7ycQCHDgwAGuXLmSZ+P3+3G73Rw5cqSi6xwOBx9++CHd3d0Eg0EcDkfBmoA6siMYDNLf318w2DUcDmO1Wunq6io51DZHT08PNpsNu91esE7u2uXWEAgEjy+Kkp1iPz2XXPG1sqzgOzeBrEDHhhp2NteWtJWUDDunPkKjFPY92tZYjS7wXnbga21ztlHjEi6lZriVXhAy5q2gvSMdTk6ezCZXSwZ+eaM57zrD9Bx1Y1OktEautrwGQFN1FP2iEnxJo8GwdQtbn2hEWuKdehAIT9FjSjAYLDunq7Ozk2AwuCb3djqd6lDZ3DDWpQQCgYL9lbtuYGAgT8DlZqeVIif6cjPQcgwPD2O32yt+ls7OTmw2W4HXyefz5Q22FQgEgqVk84gid3Xt8LUQt2cTGHQaXt3dXFZQbJkZpjo1XXC8oUpPY2wEJs8DEuz6Rd78MoDU4kaN+iqoa1HPRRIRhm8NA/CL6S3ULEquRlGwnMx6l6489S9Jo0evyWCtiuWtr9vUQsvuDdQ0PPjQGQhRtGYoioKczNz3r0pH2R08eHBVbFZKIBAgGAxiNpvx+/2Ew+EC8eP1egsExXLXLR7QOjAwsGzYymw2c/DgQbxe7z0/k9PppL+/P++Y3+8Xw2EFAkFJbs/G+fj83eURTc4m+HYkK3Je3bWBWmPpoE99fIzWyMmC4xoJ2hs0SJcW/rjc+nye4MlxPDHJnLzgybJsV8d5KIrC5zc/J62k2So1sn8qf6aY6cYs1cEQ8zUbGTdnk7ZbaufQLE6uNhqo3tbG5t3mCp987RHhszVCScmM/Y+FZY9rTeu/+zGSoXRcOcdynpRKbVaK3+/HarXi9Xrp7u7G4/Fgs9lUERQOh4ved7nrcjZvv/02Bw4cKAhnFcPpdOJwONQQl9/vp6urq8B7BFnPT07oDA0NqR4rgN7eXlwuV553ay2+dwKB4NEgnsrw+5PjpO+iH1FGVvjg7C01bLanpa6krVZO0DH9CVB4n1ZzFVXXP4LUPFQ3ZnOJljArJ/k+kW24iKk+a7dAYCbA9dnraCQNPddb8jpXKxkZ6+kbAFx86r9EQUONPkmtIT9MqN+6lS1PNqErkwt1vxGiSLAiwuEwR48eLWvT2NhYMpcmGAwSCATo7u7GbDbT29uLxWJRPVzvvPNOUUGz3HVwJ5TlcrmKepuWkgu3+f1+NVxYLIcqEAjgcrk4duyYuhe3260+o9lspru7m/7+fvr6+vB4PGviZRMIBA8/ublm4bvoRwTw7cg0U3PZarPXyoXNFAVb8AuMmcK5YlV6DZvlMZg4nT2w6xcFozwAvonfIq0s5P9YbWpFWiKT4IubXwDwYnI7G2P5oa+aK/MYo3NMNj9HyNQGC/PNFm9VW19Pg62FprbSuVAPAiGK1ghJr6H13/14ecM1uO9aYjab87wkK8Vms2E2m1VPSu5//X4/wWCwpJgod93SXCKHw8GBAwcIhULLemx6enro7+8vCH8tpr+/H6vVmlftNjQ0lGfjdDo5fPgwfX19Jb1dAoFA4L8e4vLtuxuAemsmzvDVEACv7d5ATZmw2Yb5izRGC4tNANrNOjSnF0Z5bO7KltgvYTw9f6cEv7YZjHc8Ut+Nf0c0HcWsreMnl/LDZiSg8XwAWdJxcfc/A7LzzUy6RUneUrYEf/tTTesiuXoxQhStEZIkVRTGeti4V0/Rcnk277zzjvrfgUCAo0ePcujQobLX+Xw+HA4HoVAo7x6VVM85nU7sdjsOhyMvL2kpnZ2deeeXerN6enpwOBxqWE8gEAiWMhqM8sWlwoTnSkhnZD44ewsF2L2xjp0bS4fNjKkZtoeKp29sqDXQcONjSM5BlRXaXymwkRWFz2ML/Yw02rxxHhPRCU5PZz1Mfzq5Db2S/4d47bkZdKkEV3b+KQltDTpNhg1L5pvpN26kZe/GdZNcvRghigQrYjU8RV1dXao3JZeHU0y8OJ1OnE6nKjJKXef3+/MEi9/vx2w2lxVEuf5HNptNrWQrJYoOHTrE4cOH8475fL4C+56eHlwulyrOBAKBIMdsPMV7p8eRKyyGWcpXgWlC0RQ1Bi2v7i7dpFFSMuya/hCtUhie02kktiujcPssIMGeX2X7Di3hXDLIVGahSsy8VW3UKCsyn41+BsATui3smTLkXSfP6mkcuUzMZOV6a7YEf+OS+WaSXkdV+xba9lhW9Pz3CyGKHnN8Ph+BQEBtdujxeOjq6lqT/kQ5BgYGcLlc2O12jh07VlCSHw6H1RL3vr4+nE4nnZ2dJa/r7Ozk0KFD6jWDg4Nq/s9S/H4/R48eVZOpe3p68oSX1+tlYGCA4eFhPB4Pvb29am8jl8vF/v37AYoKqCNHjggvkUAgKCAjK7x7apz5RGGfoEq4GYrx/fUwAG/s3YipTGLylplhapJTRc+11yvozuWqzX4E9a0FNjE5zTeJiewHQ3WezYnJE0zFpzBqjPxJIH+Uh6JosJweRyNnuLDvX6FIWqr1SeqXzDcztLWx7enmguTqVDzO/EwY88bCCrj7iaRUWsP9mBOJRGhoaGBmZob6+vwYajweZ2RkhPb2dkwm0wPaoeBRQfw+CQSPFh+dn+DE6MxdXZtMy/xv314jEk/zRGs93Xs3lrRtiI2yd/K9oufqjVr2BQeRgleyOULP/euCnkQAn8ZuciaxEOJreQqqzACE4iEGLg6QUTL8UfoJXgzkh76UWyZsX37GlPUJTj79fwIUbJZQXi6RpraGDS92svfHm/JyieZCQS589RkbbTto2/tkhd+Zyin3/l6K8BQJBAKBQLBGnBmbuWtBBPD5pUki8TR1Jh0v7WwqaafPRNkx/UnRcxoJdipXs4JI0sKePyoqiG6no5xNLjTtrd2oCiJZkfl49GMySoZtxk28cDE/bJZKV9N26jQZjY4Le/8FAI1Lk6sB4/btBcnVU9evcnn4W+RM/iy0B4UQRQKBQCAQrAETkTgfnbu7Bo0AVybnOD2W7Xh9YO9GjLoSYTNFZsf0x+jlWNHT22rSGC5+lP2w/SWoKcxJUhSFz+Jj2TYnWj1Yt6vnTk6eZCI6gUFjwDG2BYn0ouskTFfiVEemCLT/ioS+AZ0mQ9OS5Grdhg1senIT1fUG9X6jZ05y49zpSr8d94V1JYoCgQBerxebzUYgEKC3t7dkaXM5W7/fr5ZPDw0N8dZbb+Wdg2weSiAQIBwOr2n+jEAgEAgeP6LJNP90YuyuGjQCzCfS+M5lc3vsWy1ssZYelro5cpyG+M2i56r1GjaOfQiZZHaQ65YfFLU7mwpxO70gZCztoM2Kl1A8xHe3soNkX9c9wYbpfI9OMtrIlgsfETM1cm3rT4AiydU6LTU7ttG2K5tcnUmnuPTd1wRvji73bbjvrCtR5HA41ATZQCDA4cOHGRgYWLGtz+dTS8LdbjdvvPGGatvf368m5HZ3d5dcXyAQCASCuyEjK/zu5Diz8bsLCeUaPMZTMhtqjTzfYS1pWx8fY8tM8cISCdiTuYg0cx00etjzS3VMx2JicvrOfLMqczbniPyw2Zbqzbx8RgvcGeaalquwnruOPhXnzBOHSyZX69va2PbMRrR6DclYlHNffMp8eG1ma94r62b22dLRCjabLa9ZXqW2ueqiHD09Pfj9fvUau91OKBQiFAoxODgomuwJBAKBYFX59OJtboaKh7Iq4cSNGa4Fo2g1Ej97sgWdpvirWpeJsWP6I4qN8QDYYpzHOPp59kPHa1BVvAz+m/gtEnIaNBpo3KF2rj41dYqJ6AR6jZ7fBNvRpu4IIkWRyEzXseH6GaYanyRo3gMobFrSuVpTU4N171asrTXMh0Oc/PD9dSuIYB2JIp/Ph9War4atVqsa7qrUtrOzk7feeks9nutHs9h+cWdkgUAgEAhWi1M37i2xemouwReXsyX1L+1owlpjKG6oyOyc/hhDJlr0dJVGpnV8EOQ0WGyw6bmiduPpec7lkqvN20BfBUA4Eebb8W8BeKXuOVqv598nkWqi9cz3yJKOC7v/OZBNrjYuSa42tW+j/ekNhG+NcfrjQZKx4vtdL6yb8FlOvCwlGCxUlMvZLp559fbbb6vzsnLX5iajDw0N5fWoWUwikSCRuOMCjEQilTyGQCAQCB5TboSifHSXk+8h27X6D2dukZEVtjdW83RbQ0nbzZHvaYjfKHl+b/x7pPlJ0FcvhM0Kx2lkFJnPcp2rjXVQnx33ISsyH1/Phs3aatp45bwWFiVXZ2QjhhsJ6qdvctn2xyQM2eTqDTXzeevrNmxg87NthCeuEvAPUcqjtZ5YN6KoFKUEUCW2OQG0uJHf4oRsm83GgQMHuHKlcD7M0aNH+au/+qu72bJAIBAIHjNmYil+d/LuO1YDfHVlmumFYa/dezeWnAvWEL/BlpnCKEqO7dItjBML53f/Egw1Re1OJKaYzsSyeUZNO/PCZreit9Br9Pw6vhvD7J0u/YoCsegmdp/7PXM1rYxuyTaybamdQ7Nou5JOR+2ubaTiV7l+8WxFzy9n7q655WqybsJnZrO5wCsUDAaLhrkqtXW5XAV5Q4vzkXKVa0tzlCDbnXhmZkb9Gh1df1nyAoFAIHjwJNIZ/vHEGLHk3b/Ur03P8/1oGIDufc0lh70a0nPsnCqdR1QjxWkZ/zD7YbMdGjuK2oUycYYSC14t8xZVOC0Om71k6WLrhXDedYl0Exsunkcfj3Ju779EkTTUGRLUG5N5dvotm5E0o4xXKIjmgtP84f/5PzN1/WpF9mvFuhFFpeZOdXV13ZWt2+3G5XJhs9kIh8OEw2H8fj9vvPFGwXVL85MAjEYj9fX1eV+PEj6fj46ODtxuNx6PB7vdjt1ux+Px4HK56OjoKJrPtVr4/X7sdnvB8UAggNvtxuv14na787x/Xq9X/VkWu87j8ajXLRW6pe631MbpdCJJklqhuBSHw4HFYsHtdpddy+v1YrfbkSSpwNbtdmOxWHA6nWXXEAgE6x9FUfjD6VtMzSaWNy7BfCLNB2ez5fdPbW7A1lRb1E5SMuyc/hCdHC+1GfbOfI6UimZ7EdleK7nnT2I3yShyVgw1tAFLwma1m3n5sgFpUUuBjGyAoImNV09xs/VFZmu3opFkWmrn8vdZW0NcM050pnibgILnD4c4+/knzE5P8dXA/17RNWvFugmfLc3rCQQCdHV15fUXMpvN6gDPcrZer5fOzk5VEL3zzjv09vZis9nyhpn6fD56enoey6TrcDjM4OCg+r0cHBzEarWq098PHTpU0ZT5uyHXX6qY6CrXasHhcBTY9/X18eabb+L1etU2DJAdJtvf37/s/RaTm3EWDAbp7+9Xvxc5wuEwVquVrq6uvHsVo6enB5vNht1uL1gnd+1yawgEgvXPl5enCUzOL29YAkVR+ODsBNFkhsYaQ9mu1dvC31CXm0tWhJ2pC+hnroJGB3t/nf3fIpxOTjOens+Gy5p2qWX6x28fV8Nmv+Apqibv5EcpCkQTbbSf+YSkvp4rHX8KQHPNPHrtnaq0jJJmXjOJ1aCjEr9LNDLD2c8+JpNK0ti2lZ/91//nZa9ZS9aNpwjuDAr1er309/fn9RA6evSomiBdzjYQCOBwODhw4ACSJGGxWHC5XEA27NbV1aV6R4aGhh7bPkXBYLDs8NLOzs6iSe6rQU9PT1GxVa7VQjgcZmBgAEVR1K+cIIJsQv1K71eKnCBcup/h4eFlvU2LyQnzpV6nnBgXCAQPN2fGZhi6em//Th67HuJ6MIpOI/HzJ1vQa4u/lhvnL9Mye6bkOmY5ROPtr7IfbK8V7VoNEJGTfBNfEFYNW8CY9UpNxaYYmhgC4OXmH9F+Ov+5kukm6m+MUxe6xYVdB8lojVTpUlhMd7xW6UySMJNUNSho9cvLi9jsLGc/+4h0MkGNxcrL//l/icFUtex1a8m68RQBeZ6cpS+NpeKllK3NZqPcjNvOzs770sFaURRSqdSa32cper2+ZHLeYg4ePLgqNqtJuVYLNpst7+fs9XrzPlutVux2OwMDAwQCAQ4cOHDX+zCbzRw8eLDA+3Q35DxWi9fx+/0lQ8ACgeDhYDQY5cN7GOEBMD4T4+sr2eGrr+zaQGOtsahddXKajuBnJdfRyGl2TX+MpGTA2gGtxd9xiqLwSfQGKSWTFUPmLQCk5TS+6z5kRaa9vp0fj+jRJO+ExDKynuS8lY7zHzHZ+BRTTc8CCpvqZtWitlQ6Rig2inFzEzXm4s+xmPj8HGc/+4hUPE51QwN7X3wVwzoYgL2uRNGjRCqV4q//+q/v+33/8i//EoOhRF+LRVQSMrzfYcVyrRYWC9lwOFzg6RoYGOCNN96go6OD3t5eNXR2tzidThwOhypm/H4/XV1dRZPyfT6fKtyGhobyQrS9vb24XC4CgYC638cxXCsQPEqE5pP87uQ4mbsc4QEQT2V47/QtZAV2bazlidbieataOcGuqUE0Sunu2HujQ2jj09n8oN3Fy+8hO8rjRnpuodrsTtjsu1vfEYqHqNJV8VP9M9SOXlevURSIpraw6eIxpIzChd3/DMgf+JpMzROcHUHbaMG8sabU7VUS0XnOfvYRyViUqrp69r30Onrj8kLqfiBEkWBFhMPhvI7hxWhsbFzVfJmlYsnlcuUJD8gKk76+PgKBgJrAfC/CKCfCcg1BlwqzHIFAAJfLpeZBBYNB3G63+vxms5nu7m76+/vp6+vD4/Hcdw+cQCBYPWLJDP9w/Cbx1N1XmimKgu/cBLPxNA1Vel7f01zcw68o7Jj+GFO6dJ+8lniA+tDCUNXdvwJD8Rlps3KSr2Lj2Q/mrWq12djcGCcmTwDw2qaX2fr1rbzrkhkrhukYTaPnuLSjh6ShAf2inkSJ5CzB2atoaqqo3ViPoarE0NrcevEYZz/7mMT8PMaaWva9/Br6deAhyiFE0Rqh1+v5y7/8ywdy37XEbDYXCJLVXHu5VgvhcBifz1fQZmGxh6a7uxu73a5WH94tPT099Pf3lxVX/f39WK3WvJE0Q0NDeTZOp5PDhw/T19dHOBwWniKB4CElnZH5p5NjhKL3lhpx6uYMVybn0Ujw8ydbMOqKC4m2mWNYYteLngMwpWbYPr0QVtv6Y7C2F7VTFIWPc2EzU71abZbMJPno+kcA7LHuoXNEQhu9U1ovy3piiRZ2n/knZuu2cmPzqwBsqptFI0E8OUNo9hpoNOitDdQ3lhc36WSSc59/QnxuFmN1DU+88jqGqtKDbh8EQhStEZIkVRTGethYS09RzqOylMWtFoaHhwtEhd/vZ//+/epnm83GkSNHVtT4sxhOpxO73Y7D4SibA9TZ2Zl3fmm1WU9PDw6HA4/Hc08iTSAQPDhy3p17mWkGMDmb4LNL2TEeL+xoYmN9cSFhjY7QFildMauR0zwR/ghJTmUTpre/WNL2dHI6GzbT5MJmWa/Ulze/ZDY1S52hjjf0T1EXuNPIWFFgPrWFDVfPYZoNMWR3giTRYIxTa0gRTYSYmRtFURR05gbMG2vRaEvHzTLpNOe//IzoTBi90cTel1/DWF28qeSDRIgiwYpYbU/RYs/Jcq0WICuAliZjd3Z20t/fn5d4PT09XTTcVYmnJiemcu0fBgcHS4qiQ4cOcfjw4bxjPp+vwL6npweXy0UoFEIgEDx8fH1lmnPjs/e0RjIt897pbC5Se1MNz20xF7WrSgbpmP6k7FodkW8xxKeyYzz2/lrND1pKOJPg6/hCSMxiU2ebjcyMcD50HoA3Wl+l9cv8kSHJTCOaWYXWi8Nc33KA+drNaCSZjbVzROPTzMzfQFFAU11FdVMdptrSUQpZlrn4zZfMTk+i1evZ+9KrVNXWlX2+B4UQRY85Pp+PQCCg9vDxeDx0dXWtaYWez+djcHAQyLZa2L9/vypocq0W9u/fX7JlwlLxlBvX4na7VcGzuDFiufstxu/3c/ToUTWZuqenJ282ntfrZWBggOHhYTweD729vWpvo9yeoXhz0SNHjggvkUDwkHL65gzfjtxb6b2iKHx4foJQNEWtUceBEmM8tJk4u6c+QKuUDtE1zV+maXahU/SeP8rOLStCRpHxxUZJKzJUW6GuBYBoKsonNz4B4NkNz/JEII1u/k7zyYxsIJbYRMfp94mamhnZ/gsgO8ojkbjNzHx2Xpqk0aCzmGlori6ZXK0oCleGviF8awyNVsueF16hxmwp+716kEhKufp1gUokEqGhoYGZmZmC7tbxeJyRkRHa29sxraOEMcHDifh9EgjWDyNT8/zj8bF7mmkGcGI0zCcXJ5Ek+LPONjabi/TjUWT2Tr5HQ7x0J2hTKswzt/8ejZzK5hG1v1zSdig+wVB8ArT6bJm+zpDtwH31D1yNXMVqsvLPLT9hy6cX72xBgblEB/WjY2w99TnHnvsfmK3fRq0hgUV3idnYnURsndWCZVsjtZbilWOKojBy/BgTVy4hSRK7f/wylk2tJfe79clnaNv7ZMnzd0u59/dS1lXzRoFAIBAI1gsTkTjvnrq3Ia8At2bifHZpEoAXdzQVF0RkO1aXE0QaOc2e4EdZQdSwtWwe0a10lOHcbLPGnaDL5rheCF3gauQqGklD9+bXaDmWn8idTDdBTEvbuW8YbXud2fptaCSZOm0gTxBpTCaMlrqyPYlunD3NxJVLAOzY/3xZQbReEKJIIBAIBIIlzERT/MPxmyTT8vLGZYglM/z+1DiyAjs21JbMI2qeO8+m2dNl12qf+Zqq5PSyeUQpJcOHsWwSNHUtUNMIQCQZ4YubXwDwg5YfsPNSFP3cnY7UGdlALLWJtnNfk9CbCbT/EQAN+pvEFok1SZLQWhowbywdNhu/dIEb57LP0/5cF01bt5d9tvWCEEUCgUAgECwimkzzd9/fYD5x972IAGRF4Q9nbjGXSGOu0tO9r3g/orr4OO2hL8qu1TR/kea5bGI0e3+tjucoxhexcWYyiWxStdW2sBeZj65/REpO0VLdwg/l7dRfvjNHTVEgmtxK3e0bWMYDnNv9L1E0OoyaCHLyQt76moZ66ppqMJiKtxKYGr3G1RPZPNUt+56ipWNn2WdbTwhRJBAIBALBAsm0zD8cv/deRADfjQTVuWa/fHpT0X5ExnSE3VODSEppj1R1coqOnGja9gJYtpe0DaRmOJcMZsvuN+wGTfaeJydPMj4/jk6jo3vTK2w8djXvukR6A3JSz9YzXzDa9hqRhnYkMhjlE3neII3RiMFcT12JnkSRydtcHvoGgJYdu9i894mSe12MzmDEsmlzRbZriRBFAoFAIBAAGVnh96fGuDUTX954Ga5Oz6sVa6/vaaapyFwzrZxgz+Qf0Mml76fLxNkz7UOTm2u2rXQe0byc4uPYQpjLvE2tSpuOTfPtrW8BeKH1BdrPBvOaNGZkE7HUJjaf/460VE3A9msATFxAI92pSsuGzcxYWqrRaAo9XtHIDOe/+gxFlrG2trH9mecqmsWpMxh54pU31kVVmhBFAoFAIHjsURSFwbO3uDoVvee1IvEU75/OJiU/2VrP3k1FKp4UmV1TH1KVCpfZlMyO4McY07NgMmfL70uIDEVR+DA6SkJOQ5VZ7VqdltN8eP1DZEVmW/02uuabqb02veg6ifnkVuqmbtI0ep5zu/9zZI0eHdMYGMu7h6ahnhprNcbqwm4+yXiM8198SiaVotbayI4f/gipRM7TYnQGI0++2r0uBBEIUSQQCASCxxxFUfj04uQ9N2eE7CiQd0+NE0/LNNcZeWXXhmI3pD30FQ3xG4XnFrEl4scSvwEaHTzxp6Av3aLjRHIq27Vaq8vrWv3t+LdMx6cx6Uy83vhjmr6/lnddPL0RJaFl26nPGG17lRnzDiBNNefyw2YGA/r6Who2FFbOZdIpzn/xKYnoPKbaWva88DJa7fJtEHMeouoG87K29wshigQCgUDwWDN0NcT318P3vI6iKHx8YZKJSAKjTsMvntqETlv4mm2ZO83GubNl17LErtEW+T77YdfPoHZjSdvJTIxvcl2rm3aBLhuqG50d5eTUSQBeb3uNbcfH0STT6nXpTDXx1Ebazn9DUlPPFdsfA1DFJTTSopCeBFqLGfPGmoJRHoosc/Gbr5gPh9AZjOx58VX0xuX7q62nkNlihCh6TPH5fHR0dOB2u/F4PNjtdux2Ox6PB5fLRUdHh9rlei3w+/3Y7faC416vl3A4XHRuWW4ifW6Pi20CgQAejwev14vb7Va7Ui9l6XVL9+R0OpEkCY/HU9TG4XBgsVhwu91ln8/r9WK325EkqcDW7XZjsVjyum4LBIIHw8kbYb68PLVKa81wdjyCRHbQa0NV4egLS/Qq20PflF3HlJphx/TH2Q+b7bCxdEPDlJLhg+j1bC+l+laozpbfx9Ixddjrk41P8tSEkaqJiHqdomiYT26lfnIU683LnN37r1A0enRMYSC/V5K2to4qSzVVdfnPk2vOGL41hqTRsueFlysa36HVG9j30mvrThCBGPPx2BIOhxkcHFRHTwwODmK1WtVhpocOHSIQCKzJuA+v14vNZisquhwOR8Gxvr4+3nzzTQ4cOMCxY8cwm834/X5cLpc6QNbr9eYNoXU6nQXDZf1+P263myNHjhTdV25kRzAYpL+/v2Cwazgcxmq10tXVtezA256eHmw2G3a7vWCd3LV3MzRXIBCsHhduzfLR+durstbNUExt0PjCjia2NRYOO61J3Gbn9EdA6WaQGjnF7ulBdEoK6tvA9nrZ+6rl94YasLQDWbHyyegnRNNRLEYLL1c/g+Xb83nXxVKtSEnYeuozRrb/nLm6rUgkqeZsXthM0uvQmesxNxeGzcYunGMicBmAnT/8EXWNTWX3CqDV6dn74qvUWhuXtX0QCE/RY0owGCw7i6uzs5Ng8N5m/ZSip6en5LDWgYEBFEVRv3KCyOfzAaizzTo7O/O8OW+//fay9w0EAhXNH8sJwqXepuHh4aLerVJ0dnZis9kKvE4+n6/o7DWBQHD/GJma5w+nb7Eag65m4ym1QeOujbV0bjUX2BjTs+yZeh+Nki5cIIeisCP4KdWpEIqhBvb9iVpSX4zLyXC2/F6jhea9oMm+0s8Gz6pdqw9sfo1Nw1eR5DsPmsrUk0g3svns18SMG7m29acAVHEejZTMu4fWbMa8sRqtLl8uTF6/yvXTJwDY/kwnjZu3lPsWAaDR6tjzwivUNxXJs1onCFG0RiiKQiYTve9flY6yO3jw4KrYrDaLxYLX61U/lwt5AVitVux2O4FAAJ/Px4EDB/LsFq+1HGazmYMHD+L1eu/iCfIp5bESw2EFggfHaDDK707c+zwzyCZW/+7kOLFUhg21RrqLDHrVZuLsmXwPfSZWdq22yPc0xkZQJA3Svj8t26AxIif5JFd+37gj26gRCMVDfHXzKwCe3/Q8Oy/HMMzcua+s6JhPbqF+4iqWW9c4u+dfgaRBzzgGKd9rpq2tocpSQ1WdIe/4zORtrgxnS/w37dzNpp27yz4XLITMXn6NhubSuVHrgVUJn2m1WjKZe+v8+aghyzE++fSp+37fV185hVZbvaxdzuNyrzaryeL7hcPhPG9WZ2dnnucmJ4Zy3qyBgQHeeOMNOjo66O3tzRMi4XB4xc/idDpxOBxqiMvv99PV1VU0V8nn86lCZ2hoiL6+PvVcb28vLpcrz0t1v7+vAoHgDrdm4vzjiTHS8r0LIkVR+Oj8bW7PJjDpNfzq6U3olyRWS0qa3VMflC+9B6zREbZEjmWv2flTtaS+GBlFZjB6naSSyY7xqG3OHpcz+K75SCtp2mrb+GFyC/WXLy3aL0STW5DiKbae/pzLHb8hVt2MRJwq8rtWSzodOnPhKI9oZIYLuV5Em7ew7ennlv0+GUxV7Hv59XVVZVaKikTRkSNH2L9/P93d3UUnzFbqnRA8/ITDYY4ePVrWprGx8Z7zZVwuV564sNls9PX14fF4OHjwoCpOrFYrkBUmfX19BAIBNYE5J4zeeeedgrye5ciF9/x+vxpKLBbyyyV/HzuW/ccsGAzidrvV5zebzXR3d9Pf35+3f4FAcP+ZnE3wd9/f+zyzHCduzHDu1iySBD9/chP1SxOrFYUd059Qn7hVfIEFqpPT7Ah+kv2wuQs2PVPWfihxm4l0FAzV6hgPgO9ufcdUfAqT1kR384s0f5z/R1wy00gqXce2U+8xW2vj5uaXsvfnDBopP6yntZhpaK5Gp78j8hb3IqprbGLHD55ftjmjqbaOfS+/jqmmtNdrPVGRKLJarfzmN78peb6SjpWPGxpNFa++cuqB3HctMZvNeWJlLQiHw/h8vgKPyptvvqnm+nR3dwNZsRQIBPI8NN3d3djtdtVDc7cipKenh/7+/oLw12L6+/uxWq1qzhPA0NBQno3T6eTw4cP09fXdlddKIBDcO9NzCX7rv0E8tTpRjdFgVE2sfmlHE1utSzz0isK28Nc0RotXwubQZWLsmfoArZJGsWxH6iifWD2anuP7xGQ2j2jDXjXn6MbsDY5PHgfg1bZX2P79BJrEHaGTkY3Ekq00XD1OXTjCt/v/GwAMXEcvhfLukQubVTfc6cKd34uojt0/Xr4XUY3Zwt6XXsNgWtv30mpSkSjq6Oi4p5tcvXqV7du339MaDxuSJFUUxnrYuB+eouHh4aLCYXEIKufBMZvN+Hw+9u/fr9rZbDaOHDmi5iG98847eWscPXqUQ4cOLVtZ53Q6sdvtOBwOVYQVo7OzM+/8Uq9UT08PDocDj8cjcokEggdAOJrkt/6bRJOrI4jC0STvnhpHUWBPSx3PFpl83zp7ctmp95KSYfe0D2NmDsVkRtr7J1CmC3RUTvFhdDQbnWnakfUUAfF0XC2/32fdx7MTJqomJtXrcl2rCY+x7eJxTj/pJGWoR8MsVVzO35NOWxA2W9qLaO+Lr6A3Fo4tWUxd4wb2vvgqOoOhrN16oyJR9Nd//dcMDQ1x4MABXn/9joo9fvw4zz77bMnr/vZv/5bBwUEgKxLsdjt//ud/fm87FjxQVttTVMxz4vf71bDYYux2OyMjI5jNZjUcBVlR0t/fn5dIPT09XVT0OJ1OnE5nWXGSE1M2mw2bzcbg4GBJUXTo0CEOHz6cd8zn8xXY9/T04HK5CIXy/yITCARry0wshffYDeYSZaq+VkA8leEfT4wRT8u01Jt4Y09zQbSkaf4iW8Pfll9ooat1feIWitaA9JSjbMdqRVHwRUeJyimo36TmESmKwic3PmE+PY/ZaOY109NYvruUd2081UI8mmDvqS8Za32FoHUfkKGG00hSfihRa7HQsLFGDZsV60VkWqYXkXnjJnb/+CW0usI+TeudikTRoUOHMJvNam6GJEnqP/r/4T/8h5I5RR0dHfzZn/2Z+vn7779fhS0LVhOfz0cgEFATlz0eD11dXWvSn2jxPXNi+ejRo+zfv7+gMqyYaOnr68Pn8xEMBvO8NzabjQMHDuB2u1WBtbQxYjgcVkvj+/r6cDqdBc/o9/s5evSomq/U09OTJ6C8Xi8DAwMMDw/j8Xjo7e1Vexu5XC7VW1VMQB05ckR4iQSC+0wknhVEs/HVEUQZWeHd0+OEoilqjTp+9XRhx2pz7Dod058uu1bL3Fk2zp9HAaS9f6w2XSyFPzGZHeNhrAPLnX9LzgbPMjIzggYNBza9SuuX1yCv/L6W2aiJlkvfAg1cWRj2WsVFtNJ83j3UsFn9He/O2MWV9SKytrax6/kX0WhLtxJYz0hKBVnS/+k//ac8D8/MzAyDg4O89dZbvP/++2g0GmS5MHHtrbfeoqOjA6vVSjAYJBAIPLSeokgkQkNDAzMzMwXJ5vF4nJGREdrb2zGZlm9vLhCUQ/w+CQT3zuyCIApHU6u25sfnb3Py5gx6rYTDvoUNdfkhpNrELfbdfrd8LyKgIX6DvZN/QEJBsb2KtOX5svbj6Xn+fj6AotHCpudUj1IwHsR70UtGyfCjTc9zIFBLzeid/nKyoiUY2Yz+VoAnzp1h2P4XxKqb0XObak7mN2nU6TC0NLOxvQHtgpdoavQal77Nlvdvf6Zz2dL7pq3b2bH/eTRleis9CMq9v5dSUZ+iDz74gEjkTnvwhoYGenp61NyJnOvwL/7iL/jtb3+r2h4+fJhQKMTg4CDhcPihFUQCgUAgeHiYS6T521UWRCdGw5y8OQPAT59oKRBEVckgeyaXac64YLdryoeEgtz8BFLbD8vax+Q0H0SvZ3tgN+1WBVFaTvPBtQ/IKBm21G3hxcimPEGkKBCeayI5N8meS2e5tPPgQvl9jKolXathodpsY40qiCKTt7k8lB1HsmnH8r2Imrd3sHP/j9adIFopFYXP3nnnHf72b/+WAwcO5KmsxaExyCbYLq1SW2ojEAgEAsFaMZdI4x0eJbSKguja9DyfqiM8GunYkF9ebkxH2Dv5Ljo5UXYdfSbK3qn30SkpMvVtaHf/nAJ1sghFUfDFRpmXU2DZBtV3ci2/GvuKUDxEla6Kn9Y/T+NnI3nXzsXqmI/G2H35POGGp7jV8jwoCjVSkfL7ulqqrXfCZrFIhPNffb7Qi6iNbc88W/a5Wnbsov3ZrkeiEr3ijtZ/9md/VuB2On78eN7ne61SEwgEAoHgblkLQRScT/Luqew4kL2b6rBvzR9iqs9E2Xv7XQyZaNl1NHKKPZPvY8zMkTZa0D75Z6Ap75c4lphkNDWbFUMNd8ZoBMIBzkyfAaB706u0f3cDKXMnhSUW1xKeldgwMUbdXIYLuw4BYJRG0EnhvHtIej16y51qs2Q8xrkvPiGTSlJrbWTHD36EVKYirnXnnkdGEMFdjvm4evUqP/nJT+jq6so7/td//dccOXKEjz76KO/4UvEkEAgEAsFqMhtPrbogiiWzlWbJjExrg4nXl1SaaTNx9t5+F1M6UmYVQJHZGfyY2tQUGa0J3TMH1bEcpRhNzzGUmMjaNe1WPUqzyVk+vvExAM9ueJbO80l083c8VImkzHTEiCk6T0fgCmee+K/I6KrQEsJEvjcJCXQWM+aNNWh1GjLpNOe//GyhF1Ete14o34to8+4n2PZM5yMjiGCFYz4ikQhvvvkmH374IX/zN39TUF68XJWaQCAQCASrTSSeWvUconRG5p9OjjETS1Fv0vHLpzeh09zxI2jlJHsn/0B1avnB2dvC32KNXUOWtEhP/hlUWcraz8kpfNHrKJImO+h1QZjIiozvuo9kJklzVTMHIluovnlTvS6VyjA9Y0JJw74Lpxix/SmzdVuRSC6U3+fXVWnr66lprKWqTo+iyFz69ivmQ0F0BiN7XnwVvbF0oUfb3ifZ8sTTj5QgghWIor/4i7/grbfeoq+vj//4H/8jAH/zN3+TZ2OxWPjzP/9ztW/L4iq1SggEAni9XrVLcW9vb8nuv+Vs/X6/2mF4aGiIt956Sz23knsIBAKBYH0zE8sKopnY6gkiRVF4/8wE4zNxjDoNv36mlWrDndelRs7OM6tN3i6zSpaNs2doncs2cczs/Dl6c/lp8mlF5v3oNWJyOiuIDDXqueGJYW7N30Kv0fPL2udp+nqRIEpnCM5oSGdM7Bw5z1zt3uwYD0WhWjqDRsrPd9IYDRjM9TQ0Vy30IvITGr+p9iKqKtOLqG3vU2x54qlHThBBhaKoq6uLAwcOMD09Xdbugw8+4ODBg2ruUa5KrdJvnMPhUGdIBQIBDh8+zMDAwIptfT6f2lHZ7XbzxhtvqLYruYdAIBAI1i/haHJV+xDl+PzyFJcn59BKEr96ehONtXcqzSQlw66pQerjY8uuY45dpz38NQDxthcxbXqyrL2iKHweG8vONTNvgZo7PYFuzt3EP5HtJ/da8wvs/G5C7UeUTsuEIxmS6QY2TE5QH5EZtv8zIJtHpJfy392SRkJrsWDZVINGKzF24RwTV7INH3f+oHwvokdZEEGFOUXDw8N0dXXx29/+tuj5XKujd955h8HBwbzyfaisAm3p9HGbzZY3T6pS21wDvhw9PT34/X51Zlal9xAIBALB+iU4n2RgePUF0fHRMN9fDwPQva+ZNsuicU2KzM6pDzHHR5ddpzZxm13THyKhELXuw2R7YdlrTienOZcMZhOrzdvU43PJOT649gEKCnssu3nhrII2nvWMpTMy4UiCRKoBYyyG7WqA00/+ObLWiI5pTBTOXtM2NFDXVIOxWsfU6HWunToOwPZnnqOxrbQnKxsye3QFEayw+uyNN97grbfeKkikXmq3XHOkYvh8voLRDlarVe20XKltZ2dnXrguN7IhN7Sz0ns86vh8Pjo6OnC73Xg8Hux2O3a7HY/Hg8vloqOjY82+Lz6fD5/Ph9frxeVy5d0nEAjgdrvxer243W7157dW5xbj9/txOp1IkqR2v16Kw+HAYrHgdrvLPqPX68VutyNJUoGt2+3GYrEUdN0WCASVMTmbYGB4dNVGd+S4MjnHpxezpfc/7mhkT8uid5kis2P6E6yxq8uuY0qF2TP1PlolTbRmC1VP/KJs6T3AaGqWL+LjBYnVGTnDB9c+IJ6O02hq5NfB7ZimZrPnMjIzkQTJdB2kJfZeOMXljkNEq1uQlDjVnC64raaqCoOljvomE5GpSS4PZT1ZLTt2sWnnnpL727z7iUcyh2gpK0q0bmho4PDhw4yMjPDWW2+pL5fV+CaVelEFg4VJbMvZLh4Z8fbbb9Pd3Y3ZbF7RPRKJBInEnRjsUu/Xw044HGZwcFAdPTE4OIjValUbch46dIhAILAm4z4cDgcffvgh3d3d6siOK1euqOdKhTfX4txiciM7gsEg/f39BYNdw+EwVquVrq6uZQfe9vT0YLPZsNvtBevkrr2XobkCwePKRCTOb/03V23afY7xmRjvnb4FwJOb6+natigZWlHoCH5GU/RyiavvoM9E2Tv5Hno5TtS4AeOzPUjLlN5PZWK8H72OImmheZ+aWA3w9fjXTEQnMGgM/Kn+BzSenACygig8myCVNpLOmNhz5SwRs53bG7tAkamRTqGR8vOsJK0GndWMdVMN8flZLnz1WbYXUWsb2595ruT+WnfuYetTzzzyggjusiS/vb2dw4cP88EHHwCUnH22GpQSMpXYhsNhdV7VSu9x9OhRGhoa1K8tW8onxz1sBIPBsrO4Ojs7i4rF1WBgYCBPbC1Ogl/M4vDmWpwrRU4QLr12eHgYu91e9trFdHZ2YrPZCrxOPp+vYNabQCBYnhuhKN5jN1ZdEIWjSf7pxDgZWWF7YzWv7VpUeq8o2IKfsWH+4rLr5CrSTJk54rp6tE870OrKT5Ofk1P8fv4qSWTYsJvc5HuAS6FLnJo6BcBPG19kx4msFysjy8zMJkinNaQy9Wwev4EpbuJSR7Z5skm6hE6aKdyfxUJDcw2KkuTcF5+QTi7fi6ilY9cjV3ZfjrsSRTna29sBis49Wylms7ngJRwMBotWhlVq63K5GBwcVI+v5B5HjhxhZmZG/RodXT6G/DBx8ODBVbG5GxYPTB0YGFDDSOXCm2txrhRms5mDBw/i9Xrv6vkW43Q66e/vzzvm9/vFcFiBYIVcnZrn77+/STJ97++bxcSSGf7h+BixVIbmOiM/f3ITGs0dQdQe+oLm+QvLriMpGXZPDVKTmiapqSL1hANjdflUkoSS4ffzVxc6VrfndayejE7yyY1PALA3Psvzx2NIaRlZVpiJJEhnFFIZM/UzYbbcuMXpJ/4cRaNDxwRGCt9X2rpaqqy1mGq1XPjycxLz8xhrFnoR6Yp7spq3d9D+3KPTmLES7kkUrSbFJosDBQ0iK7V1u924XC5sNhvhcJhwOLyiexiNRurr6/O+VoKiKMxnMvf9q1KvXSVtCNayVYHf78flcnHgwAE1vFQuvLkW58qxVMz4/f6ivyeQFXO5nCWXy5V3rre3t8DrJFpACAQr4+LELP94YoxUZnWjEsm0zD+cuEk4lqLOpOPXz7Ri0C28FhWF9tCXbJw7t/xCisKO6U9oSIyRkfTM7vxT6swbyl6SVmT+MH+N6UwM6lqgvlU9N5ea472r75GW02ypbeOXgQZ08wlkWSE8mxNE9ejiafZcPMvpJ/4rEiYLkjJHTZG5Zne6Vpu4PPQVc6FpdAYDe198pWQvoqat2+mw/+CxEkSwwpyiUnz00Ue8/vrr97TG0r+cA4EAXV1deb2HzGYzNpttWVuv16uGLsLhsNpMcunLaOl1q0lUlun47NSqr7scV15+ihrt2g3kC4fDedV9xWhsbFw2Xyb383G5XHi93rLhpHIh1LU4l9sfoCbvB4PBovlVgUAAl8ul5iwFg0Hcbrf6/Gazme7ubvr7++nr68Pj8ayZB04geBQ5fXMG37kJVjtLIyMr/P7UOBORBCa9hj95djM1xoVXoiqIzi6/kKKwPfwNTbEAMhpub/0Fm1q2lr1EVhQ+jN3gZnoOTA3Q2KEmVqcyKd4beY/51DwWowXH3D5qJqayHqLZBJm0TEauQk4befr8Ma5u/xNmzDtASVErnUSS8kOLkiShs1po2FjN9VPfExq7iaTRsOfHL1NVV/yPfevmLezc/yMkzbrxm9w3VkUUDQ4O3rMogmwoxeVysX//foaGhvJygY4ePcr+/fvVl00p20AggMPhyFvXbDar3ohy9xAsj9lspq+vb9XWcjgcHDhwgFAoVDa8uRbnlqOnp4f+/v6C8Ndi+vv71crGHENDQ3k2TqeTw4cP09fXRzgcFp4igaACFEVh+FqILy5NrcnaH5y5xfVgFL1W4o+f2Yy1xpA7WbkgAlpnT7BpoTnjWMvrtG4rXcGVu/cX8TGuJMPZSrPmvbCQz6MoCh9e/5Cp2BQmrYk/Mz7PxlMTyIqykEMkIys6Uuk6dl05z2z904y1vrQw6PU0Wqlw/prW3EDthlqmr19gIpBNFN/5gx9T11Tck2XZtJldz7/wWAoiWCVRtFqJ1jabTX3hLvUcLBUvpWxtNlvZ/ZS7x2pSrdFw5eWn1mz9cvddS+7VU+Tz+XA4HOqImJzXLxAIqB6VpXR1dWGz2Vb93HI4nU7sdjsOh6Nk6BWyXqXF55dWm/X09OBwOPB4PCKXSCCoAEVR+PzSFMeuhZY3vou1P704ycXbc2gk+OVTm2hpMOVO0h76orKQGbBx7izbZrJ/BN2w/oiWnZ1olgk3fZeY4HRiOjsMtnkfaPXquW/Gv2EkMoJG0vBHTa+y46tJFEUhsiCIFCSSGTNtY6OYEtUc35P1OpukSwUNGuFO+X1sZpQb57LCrf25rpK9iBqaW9j9o5fQaNYu2rDeWRVR9LjFHCtBkqQ1DWM9KO7VU2S1WvMERC4sWio0lQtvlgt93u25UuRCa7lQ7eDgYElRdOjQIXWsTQ6fz1dg39PTg8vlKpgXKBAI8snICoNnJzg3vjZtUL67GuTEjWxl1k+faGFb48IYDUXGFvy8oqRqgKb5S7SHvgRgrP45Gve8mDcbrRjHE5Mci9/Ohsqa9+ZVmp2eOs3xyeMAvNHyEs8OhSGdYWY2SSolowCpTAOW6RCt41MM210oGi06xjFyveBekk6LzmoGJcjVE9nwftu+p2jp2Fl0b3VNG9jzwstoHsH31kpYFVEkeHjx+XwEAgG1Gsvj8dDV1bUm/Ykg61U5dOiQWqY+ODio5uNA+fDmWpxbTK4bei4puqenB6fTqXp3cu0dhoeH8Xg89Pb2qr2NcutD8UKAI0eOCC+RQLAMybTMu6fGGZmaX5P1T94I800gG05/ddcGdm1cmO+lyOwIfkLT/PJ9iAAssavsCH6KBIzXPkH17lep0pcXE+eSQb6KjWc/NO6AKrN67kr4Cp/f/ByA/c12XjqtoJ1PEJlLklpoP5CWazDNpth16QInnvnvSBnqkJQZaqRzhX0hpWz5vVY/z4j/WwA2duykbe8TRfdWa2lk74uvodXpi55/nJCUVYh9HTlyZNmQysNOJBKhoaGBmZmZgkq0eDzOyMgI7e3tmEylpwoLBJUgfp8EjyPZ0vibjM/E12T9SxOzvLvQnPEH7VZ+ZGsEsqX0O6Y/pjFaOA6jGPXxm+yd/AMaZG5X70Te9QtaGqrK3zsZxhcbzaZ2mLeAZbt67ubcTX4X+B2yIrPPuo/fjG+m9uoUs3NJEsmsIMooRpRoNc+dHOKK7Z8tNGhMUC99VzDoFUDbUI+2TuLGma+RM2ka27ay84fFexGZamp58vWfYDCVf4aHmXLv76UIT5FAIBAIHigz0RR/f/wmwfnkmqx/bXqe989kO0E/tbmB59uz/YAkJc2uqQ+xxK5VtE5tYoI9Ux+gQWa6ajvR9p+wfRlBNJKK3BFEtRvyZppNxaZ4b+Q9ZEWmvaGdX812UHv1BrPzdwSRrGhJp2p5+vxxbrW8tqhj9cmigkhjMkKVlrHz3yBn0jQ0b2TH/ueLCiKdwcjel157pAXRSllXidYCgUAgeLy4HYnz98dvMp9Y3S7VOW6GYvzu5DgZRWFHcy2v7t6AJElo5BS7pwZpiN+oaJ3q5DR7J/+AVkkTNm1mqu2n7GqsLXvNaGqW96PXsu9IUwM07lJL7yOJCL8P/J6UnGJTzSZ+rbVjPX0lK4gWvhcKEql0AzsvXSBWtYuR9l8BYJTOoi/SsVrSaqCuismRIdLJBDUWazZxukiekEajZc8Lr5Qsyy+Goiikp+MosTSGLXUVX/cwsSqiqKOjYzWWEQgEAsFjxNWpeX5/anzVu1TnuBWJ848nxkjLCtsaq/nZEy1oJAmtnGDP5PvUJW5VtI4pFWbv5HvolCQRw0ZGW3/GvhZz2SKjG+k53o1eQ1YU0FdnE6sXErGjqSi/C/yOaDpKo6mRP65/iZbPrzA3n1okiMiO8LhxE1Oyhu+f+RcA6JQrVGmK7FsCqaGO6RvHScaimGrr2PviK2j1xfKEJHb+8AXqS5TlL0VRFNKTMRIjM2QiSQytNYAQRSVZWn0jEAgEAkE5Tt+c4cNzt7OiYQ2YnE1kx4JkZNrMVfzqqU1oNRK6TIy9k+9Rk6ys/5EpNcMTt3+PQY4xr29kpOXn7G1tRKspLYjG0vO8O3+VjCKD1gAbn1BL75OZJO+OvMtMcoY6fR2/3tjNls9GmJ9NEE+k1TXScg2WyQgttyMMd/4PKBo9GmWMGikAFN5bqqkmOHGaxHwEvamKfS+9VrJb9fZnOkuW5S9GURTSt6NZMTSbWtb+UUDkFAkEAoHgvqEoCl9fmebbkbUZOA0Qmk/yd9/fJJGWaak38UfPtKLTajCk59g7+S5VqXBF6xjTEfZN/h6DHCWqt3Bh4y/YvbkJg7Z06f2t9Dy/n79KWpFBo80KIn1WnKTlNO+NvMdkbBKT1sSvt/wM2xfXiQWjxON3BFFGMWKaUegIjPD9s/89aX0tkhKkVjpX1DslGfWEZwLEZ0No9Xr2vfQqxpqaovvbtHMPrbuWaTApLxJDc4+HGMohRNEqInKrBKuB+D0SPKqkMzK+cxOcG59ds3vMxFL89vubxFIZNtQa+ZNns/PMTKkwe2+/izEzV9E6xnSEJ27/DmNmnqjOzNkNv2RnazM1htKvzVvpeX43f5WUksl2qW7eC8Zs3lFGzvCHq39gbH4MvUbPL7f/nJ1Dt0lOzOYJIlnRoZk3su/8Cc7s6yVWvRGUeWqkE2ikIv82aDTMxMaJzdxGo83mCVU3mIvuz9raxvannyu5f0VWSN2aJ3k1Qmb+8RJDOYQoWgX0CzHbaDRKVZXI4hfcG8lktgJH+5g3URM8WsSSGf7p5Bg3Q7E1u8dcPM1v/TeYS6SxVhv4k+daMeq11CQm2TP5B/RyZfc2pGfZd/v3GDPzxHQNnG3+JdtaNtBQVbqPT04QJZWFhPGmnVBlAUBWZAavDzI6O4pO0vGL9l+w98wsmWvTxBYJIgWJTKKGp8+e4PKOf74w0yxJFX50UmEiuoLCfGaaaHgMJIldz5fOE6q1NrLzh8XHdyiyQmoiSjIQJhNNF7k6n3QoTiaSRFtvWNb2YUOIolVAq9ViNpu5ffs2ANXV1aLLt+CukGWZyclJqqur0enE/z0Fjwah+SR/f/wm4ejaeR+iyTS//f4GkXiahio9f9q5mWqDjvr4TXZPfYBWruzehvQcT9z+PabMHDFdPWeaf8mmDU1sqDOWvKZAEFltUNsMZD2/H13/iJGZ7PiOn7X/jH2BNNK5W0sEEaSS9ew7d5abbX/E5IZnQclgVI5h1BaW3gPElFnmQqMA7Oj6IZZNm4vamWpq2fvCq2iX/JuiKArpiSiJwExFnqHMbJLkyAzpyRjp6TiWP96x7DUPG+Jf3VWipaUFQBVGAsHdotFo2Lp1qxDWgkeC0WCU350cJ55am5J7WBBE/puEoilqjTp+89xmao06rNEAO6c/QlIqq24zpOfZN/l7TJlZ4rp6zm74FY0WK63m0k1UxxZyiFI5QdTQBg1ZcaIoCp/d+IxL4Uto0PCTbT9hz20Duu8vFgiidLqOnZeuELb8iLHWF0FR0MvfU6Wbo1hidVyeIxK+CsC2p59lw7b2ovvTGYzsefFV9IsawSqKQnoqRuJKuKIE6sxckmQgK4bUNRIZFEV55P6dEqJolZAkiU2bNtHc3Ewq9XjGYgWrg8FgQPOYTqgWPFqsdYUZ3BFE0/NJaoxaftO5mfoqPRtnz9Ae+oqs5FienCCqSkeIa+s4s+GX1DZY2N5Yg1RElMBC2X0uqRqgbqParVpRFL4a+4qzwbMAvLH1DfbONVD1xRlisfwQVUaupu3qOCn9Tq5u/yUAWuUkNboQxQRRIjNHeGYEgNZde2ndtbfo/rK9iF6mur5BPZYOxklcCZMOF/c+LUaOpkiMzJC+FVWP6ZqrqflhC3UvFPdKPewIUbTKaLVakQsiEAgea2RZ4fPLU/jXYMr9YvIEkUHLn3W2YanSsyX8HZsjxytex5CeXQiZzZLQ1nK2+ZeYas3saK4t6QkZTc3ybvRatuweoKYRGneCJKEoCt/e+paTUycBeLXtVfbKG6n9+GShIFIMNN6MUJWwcHpfduq9Rj5PrXYCKPzjKJWZJxy5Cihs2NbO1qeeKfFUuV5E2TBeZjZJ4nKY1NTyeVVyPE3yaoTU2JyqKXUbqjDYGtDWGtCZS4cSH3aEKBIIBALBqhFPZfjD6VtrNtQ1RzaHaJEgsrdhrdJiC37ChvlLFa+TrTL7PcbMXNZD1PxLdNVmdrfUoS0hiEZSEd7PNWaE7HDXpj2qIPru1nd8f/t7AF7c/CJP6bZR//vjxObyx5jIio7ayQwbpmVOPP2vQdIgySPUaK4jFRNE6RjBuasoioxlUysd9h+UFG3tz9lpbNuCHE+TuDJDanyO5Rx2cjJD8lqE1I05kLPG2kYTRpv5kUyqLoYQRQKBQCBYFULzSf7xxNiazTDLEUtmsoJo7o6HqMkEuybfr3hsB2Q7Ve+bfPdOldmGXyCZ6tnTUoeuRAj7cjLMYG6WGYCxTu1WnRNE/tt+AF5ofYFnqnZR90/fE4/kh6sUNBhmtGwdneT4M/8WRaNHkm9So7mIViqMNqQzCULzV1HkDHWNG0pWkgG07txDy/adxK+ESV6LoGTKqyElI5O8PkvyWgQWbLUNRgwdDegsj9dQaiGKBAKBQHDPXJvOjuxIpNZmZEeOrCC6wfRckuoFQbTRmGTPxPtUp6YrXqcqFWTf7XcxyLFsH6LmX4Khhn2b6jHqiqdAnEsG+SR2844gMlRnmzNqdMUFUd0e6v/xe5Lh/JCVgoQ0Z8J25QannvpvyeiqQJ6kWjqDroggysgpQnNXkTMpquob2PPCywWVZDksm9rY1LSTua/GkJeZJ6coCulb8ySuzKAs2Gpq9Rg7zGgbTY9cEnUlCFEkEAgEgrtGURT818N8fmly2fDMvZITRFOLBNFm/Sx7Jv6AIVN5uK46Oc2+yXfRy3Hm9VbObvgFir6aJ1rqqdIXF0QnElN8GRu7c0BfBRufAq2+qCB6umEf9f/4PalgNG8dBZDjNey+NMqZJ/6PJA31SHKYKuk4+iKeH1lOE5odIZNJYKyuYd9Lr6EzFA9l1ZmstGk7iJ9bPpcrHYqTuBRCXqg+k0xajB1mdBsf75YyQhQJBAKB4K5IZWQ+PHebc+ORNb/XfCLN3y3kEOUEUbtmgl23fRX3IAKoSU6yb/I9dHKCOX0T5zb8HFlnYs/GOmqMha9ERVEYTtxmKD5x56DOCC1Pgs5QXBCZ91H/u+Okpwq7Z2dSNey4NMb5PYdJmKxI8gwmhjEUmaUmKxlCc1dJZ+LojCb2vfI6hiINgqWMRG28ns01O5HnynuH5GiKxKUw6VzCtVbCsL0Bw5Y6JO3jK4ZyCFEkEAgEghUTiaf43YlxJiLxNb/XbDw7uiMcTVFj0PKbzjb2ypfZPv0lUoUl9wB1iXH2TL6PTkkxa2jOCiKNgd0b64p2q1YUhS/i45xKLBoeqzNAy1OgM6lVZrmk6hdaX+Ap6xPU/e4EmYnCUSbpTBXtlyYI2P418aoNSJlZjNIQxiLOKUWRCc9eI5WOotUZeOLl1zHV1C4xAsO8gar5apq3daDVl+64raRlEoEZUjdms+4qCfSttRhsDWgMlVVMSxLoN9Vg2N6wvPFDihBFAoFAIFgRo8Eovz81Tiy5dg0Zc8zEUvzWn+1UXWfS8ZtnW3kmeYxNs6dWtI45dp3d0z40SoaIsYVzTT9F0RjY0VyLpbowHJVRZD6O3eRiclEoSqvPhsz0VdnBtuNfc2LyBJATRE9S+/sTyOMzhetlDGy5EmR06z8jWtOCJjOHXvoOk3ZBoSxCURTCc9dJpueQNFr2vvQq1Q35QkSb0FI1U4U2raVxy1YMpuIjprJ5Q1ESl0MoyWy+l7bRhHGnBW1NaRG1GEkjoW+twbi9AU3Voy0bHu2nEwgEAsGqkc0fCvHFpek1bciYIxRN8lv/TeYS2dEdjmeb6Zz/BEvs2orWaZy/zI7gJ2hQCJm2cLGxG1mjo2NDDU21hT13UkqG96PXuZ5a5O3R6rIeIkN1tlP1zc84O51tzPhi64s8aX2CmndPwFi4YL2Moqf5epyx1kPM125Gk5lHx3dUaWWKCaLI/A0SqQhIGvb8+CXqGhvV81JGwhQxYYhlhZy5pZWquvqiz52ZTZK4ECIzk618k6p0mHZb0DVWNqNT0kjoN9di3F6PxvR4yIXH4ykFAoFAcE8k0hl8Z29zsUhYaC2Ymkvwd9/fJJrMYK0xcOgpM10z71KdCq5onY2zZ2kPf4kETFZ3cMX6KoqkYXtjNc11heXmMTnNu9GrTKQXJUhrdFkPkaEGWZH5ePRjLoYuAtnGjHvMu6h+7yTSzXDBerKiw3JTYbL5zxY8RPNo+ZZqXYZigmg2Ok4sme1kvXP/jzC3bFo4CYaoAVPEhKRkr6trbKLW2shSlJRMIhDO9hsC0EgY2usxbK1HKpK7tJTHUQzleLyeViAQCAQrZnouwe9PjTM9t7b9h3JMROL8/fc3iadlNtQa+RdP6OgM/WPFU+4BUBQ2R75na+QYAOO1+7hq/jFIElut1WxqKPSWROQkv5sfIZxZ1FNIo8smVRtrycgZBq8PZoe7ouH1ra+zo85G1Xun0NworPhSFA11E3pC1l8Qq25Gm55FI31Hja7QQwQwH79NdCF/afsz+2nauhUAbVKLacaELnXnlV1V30DDxpYl91sY8HoxhLLQGkHXXIVxp6UicSMt5BkZbQ2PnRjK8Xg+tUAgEAgq4uLELINnJ0im17b/UI6xcIx/OD5GMiPTUm/iv9oZ5YnQ5xUPdQVAUdgW/obWudMAjNZ3cqO+EySJNnMVm82FgmgqE+P381eZX1zJptEuCKI6UnKK96++z+jsKBopO9x1e/UWTO+dRFvEQ6QgYZquYabhZ8SrmtAlw0iaIWp0UFwQTTEXy1a4bd7zDJt2doAMplkThnlD3vw1Q1U11ta2vHXkWJr4+SCZYDbxXVOtw7jbis66fPNFSQLdxhpMHQ1oqivLM3pUEaJIIBAIBAVkZIXPLk1y/Hr4vt0z1wAylVHYbDbxX2+7SXvk5MoWUWQ6gp/RHM2O+hgx/4hbdU8C0Npgos1aKIhG03O8P3+NpLIocVyjhY1ZQZTMJHlv5D3G5sfQaXT8bPvPaDNuwvTeKXRFcogUJPRhM3N1PyVhtGBITKNoh6nRaygmiGKJELPRbA+k5vY9bH1iH/qYHlPEhCaT37tIZzDStHWb2s1akRVSo7MkAjPZ0RwaMLQ3VBwq02+oyjZrrHs8xngshxBFAoFAIMgjEk/x7slxxmfWvtw+x8WJWd4/cwtZgW0WE/+X1tNsiI6uaA2NnGLX9IdY4qMoSFy2vsxUzS4AWhpMbG2sLph4fyEZ4qPYjTtdqmFRyKyOeDrO70d+z+3obQwaA79o/wUtukaM751EV6TKTAE0cxuYr+4mZWjAGL+NohmmWq+nmCCKJyPMzGef09Jqo+PJTmqmq9ElC1/PGq2Opq3b0Giz5zKRJPHz02oDRq3ZiGmvtSJvj85sxLjD/NiN8VgOIYoEAoFAoBKYnOP9MxPEU2tfbp/jxI0wn1yYBGDvBgP/feNX1CYLBUc5dJkYeyf/QG1qioyk5VLjG4SqtgHQUm9i+xJBVLQpI+QJotnkLL8L/I5wIoxRa+RXtl+xgQaM751CP1HYsFIBlGgLcUM3KUMdVdFxZK2fKqOhQIwBJFJzhOeylXT1jW08ve9lTNPGoraSRkPT1m3oDEaUzELPodGFnkM6DaadZnSbapbtRq2t1mHcaUG3oeqx7lxdCiGKBAKBQEBGVvjqyhTDV5cfEbFaKIrCtyNBvh3JVpT9YKPEf1P/EfpM5R2qAUypGfZOvocpM0tKY+R800+ZM24EYGO9ke1N+YIoo8h8ErvJheSSZ9UuVJkZawnGg/wu8DvmU/PU6Gv4le1XWFLVGAZPob9dWIGXHd/RSkrfTVpfQ/X8DWStH5OpqqjISabmCc9eBRTq6lvYv+en6KMlPDySRGPbVgxV1aRDceJnp1HiWdGqa67GuMuCplgHyEVoDBqMNjP6zbUVhdUeV4QoEggEgsecSDzFe6fGGQvfv3CZoih8enGSEzeyHqGfbIrxX9R8U0Q+lKc2cZs9U++jl+PEtXWc2/Az4nozkBVE7U01eaIkLqf5Q/Q6Y+klIzi0+oU+RDWMz4/z7si7JDNJLEYLv7L9iuqoBsPgKQzThaM7ADKJNlK6bjK6Kmpnr6FojmGsqisqiFLpKKG5ERRk6qo38oM9v0SvlA55WVvbMFbVEL8QVMvsJaMW0x4ruqbyPYckjYRhSx3G9gYkfeFsNUE+60oUBQIBvF4vNpuNQCBAb28vZrP5rmz9fj+HDx/m2LFjedf5/dn5NJ2dnQQCAcLhMJ2dnWv1SAKBQLCuuXx7jsGz9zdclpEVPjh7i4sT2Rf8f9Z6mz+uObPidSyxa+yc/hCtkmFO38T5DT8lpa0GiguimUyC30WvMrO45B6yozs2ZhszXp25ygfXPiCjZNhYvZFftP8CQyiF8ePTGILFh86mUltJ6bqRtUbqZ66gaPxoa80lBFGM4OwIiiJTZ9rA/r2/QK8rLYjMLZswyCbmv72FEksDC2XzO81IuvIiR99cjWmn+bGvKFsJ60oUORwOVcQEAgEOHz7MwMDAim1zYikngBbT39+Px+MBoLu7u+T6AoFA8CiTzsh8fmmK46Ph+3rfVEbm9yfHuRaMopGgd9MVXqm5vuJ1Ns6dpT30FZLapfoNZE325d9SbyoImd1Mz/GH6HUScjp/IZ0x6yHSV3Fu+hyf3vgUBYVtdds4sP0A2okopk/Pow/nT7vPkUy3k9K+jqIx0BC+iKLxo6lvLCqI0pk4odkRFCVDrbER+75fYjAWdtTOUWdtQjelJTZ6G1jwDu21LtuRWlunx7SrsnJ8QT7rRhQFAoG8zzabDZ/Pd1e2PT09Je9jt9sJhbJx5FJeKIFAIHiUCc4neffUOJOzieWNV5H5RJp/PDHG7dkEeo3Cf7/pNM9WTy1/4WIUha0zQ2yezc4cm6jZTcDyIkhZr8mmBhPbliRVn00G+TR2M7/CDEBfBS1PomiNfD/h59tb3wKw27Kbl9teRroxg/GLS+gjxZtGJjO7SWleRtHosATPomiPIzVsoFiVWSaTJDx7FVlJU2Ow0Lnnl5hMpUVLjcGMNqCQimXzl/StNRh3Wsp6hyS9BlOHyBu6F9aNKPL5fFit1rxjVqsVv99fEN5aiW0xhBgSCASPI4qicGYswicXbpPKrP3sssUE55P8w/GbROJparQZXJuOs7OqsIKrHBo5zY7gJzTGRoD8powArWYTW613BJGsKHwVH+dkoojwMlTDxqfIaLV8fuNTzgXPAfDchuf4QcsP4MptTN+NoJ8tzLNSgETmKdKaH4OkoWnqBIr2JBlzC8UEkVbWEJy9RlpOUqWv57ndv6S6prr4QypQm6hHO66gkK4od0iSyI7l6DBXPPFeUJx1I4rC4XDR48Fg4ZybldgWu9br9QL/f/b+K8qy9DzPBJ9/++NtnPA2fZavyixUFWyhCgABWpGARFIS1T0akNPqXpppTje5cMkrLOpmfEtgz9LMSL1aVIMSnQjCJKpQ3mSlqUpvwmX4iOP92e6fixMZJiPSlslEYT9r5SIr4t/7mEDGefP73u/94Pjx4/zBH/wBExMTd/w8AwICAn4eaTsexy6scGVld6Pwx8lCucXfvr9Ix/XJ6R2+M3CKPuMuVnYAutfk4NqPiDp5fBQm018gH9m38f2hZIih9OakV0d6/Lh5jTlnl11tZgx6H8JG8uOpv2euPodA8NmBz/Jw5iH880uET82iNXZW0iTQ9o7iqUcA6Ft6C0+/hJse5EZBJFCIiijXaqew/RaWFuWJfb9MNBbd9TUqjkKkGkWxu/fR+iNY+1K3NEircYPQoTRq/OZtuIA754ERRTfjZgLoXs9uNWRPTEzwla98hcnJyR3nOp0Onc7mX4hq9e7+RRMQEBDwoDBXbPKjc8vU2u7tD3/EXFmp8aPzK3i+ZI9V5Y/6PyCu3d3IfdgucDD/I0yvgaOYXMp+hZrZv/H9kXR42+qOktfmB83ZnYZqgFAScoepuy3+bvrvKLaLaIrGV0a+wmh4GP/UNcJn59FaO5+jD3T8z+GpjwAwNPdTHHMGp2eEGwWRpYSJiwSXi2/S8RqYaoTH936DWCKx8zldX/Za6y57FbqCeSiN3nOTahIgNAVrb9Aq+6h5YERRMpncUekpFou7trru5uyNTE1NbbTYrk+uTU1N7agWffe73+VP/uRP7u5FBAQEBDxAuJ7PW1MFTsyWuNFO83EjpeTUtTKvXe22ro5E1vjv+s5jKne3Q607YfYSqnRpakku9nyNjhbf+P5YZvty12mnyk+bc9tXdlwnkoHsQdbaBX4w/QOabpOwFuYb498gK5LI49NELi2hdnaKRx9o+1/GVw4AMDH117TDK3R6x9kqiAQKaS2LJSwuFF6j7dUw1BCPTfwSiVSaG/MShScIVULona5JXM1YWIcyt8wd0nvDWAdSKOYD8xH+qeGBCS148cUXd/36kSNHPtTZrZw8eZIXXnhhx9dv9CcBfOc736FSqWz8mZu7u7j5gICAgPtJvt7hz4/P8d7MJy+I/PUMouuC6KuJef77/rN3J4ikpL/6AQfyP0aVLmVzkLO9v7YhiASwpyeyIYiklBxvr/D3jZndBVGsD3oOMVuf468m/4qm2yRlpfjNfb9J1ovBW1eJnF+4iSBSaPtf7woi6bP/8n/ACS3T7N8uiCwlzKAxgiUsLhZfp+lW0BWLR8d+iVS2Z4cg0toa0Xy0K4gUMPenCD3Wc1NBpFga4cd7CD/aEwiij4kH5l29sVIzNTXFkSNHNqo/J0+eJJlMMjExcduzWymXy9vaZX/6p3+68b1jx47xzW9+c9frTNPEvMWoZEBAQMCDiJSSU3Nl3riSx/U/YTVEd+T+R+eWmVzrZvr84+xVfjk5t0MQ3AohPcZLb9LbuAjAcuQgM6nPItcnzASwNxclG+3+jralx0+bc0w7N7E5JIchOcrZwjleX3gdiWQoOsRXx76KXnYQ714hPFdA7PJ++Ri0/K8jlQGE73Howv+XetqjNjDBdUEkUEhpGWJqAte3uVh8nYZTRlMMHhn5Cplcbvvrl2BVLcxm9/mLiEbo4SxqdPelrEKAPhzD2nP7bKKAD8cDI4oAvv/97/PHf/zHHD16lOPHj2/LEPrud7/L0aNH+aM/+qPbnj127Bg/+clPtl13XfwcOXKEf/Wv/hXJZJLJyckgpyggIOBTQ7Xt8JNzK1wr7p6p83FTb7v87fsLrNZtNOHzL3rP82xs7a7uoXtN9uePEbdXkMBM8hmWow9vTJipAvb1xkiFuwKi6LX5YXOW8m7+ISEgPYEX6+WNhdc4V+gGRB5MH+Tzg59HWayivzuNtbq7mPJkiLb8ZaTSg+LZPHzuf6ac06n2b/7D3BQhsnovmtBwfZsLhddpuuuCaOgr9PQNbNsxprgK4VIY1VWRSPTBCNb+zE19QWpUxzqcQUsE/0j/JBByR3BDwG5Uq1USiQSVSoV4PH77CwICAgI+IaSUXFiq8bPLq3Scu/PsfFSsVNv8l/fnqduSmGrzh/1nORi6u6Wukc4aBwo/wfQauMLgSuZ5yqGRje9riuBAX4y41fXfXLXLvNxawNmtXSYU6NlP24zxo9kfsVhfBOAzfZ/h8Z7H4eoq5okZjMruU3CujNOR30AqKTS3ySMf/BuKAzEq/ePd2yNIahniarJ73re5UHiNpltBU0weHnyR3OAQyhaxozd1QtUQQgp8RWIeSmH17f55IgQYY4nueg41MFJ/GO7m8/uBqhQFBAQEBNwdTdvlpxdWubr6yY/aX+fKSo2fnF/C8QWDRoP/ceADevW726OWbVxmT/F1FDyaWpJL2a9s7DADMFTBwf44EUPDkz5vt5d5f7f8IQBFhdxhisLn76/8J6p2FV3ReXHkRUYjw3DqGqEz86jt3afgHD+LzS8hlRiGXeWRM/8TK6P91HsGu89FmGT1XnRhrJ/vcLHw+oYgemTwBXq2CiIfQtUQRqt73jU9Io/lMGKRXR9fjemEDmdR47u30+4G13U3BpNyudyHvt+nnUAUBQQEBPyccmWlxk8vrtKyP7m9ZVuRUnJyepXXp6uA4LFwgX/Zd46wehfPR/qMlt9hoH4WgKI1wtXM83jKpiCwNIVD/XEsXaXuO/ykeY0ld/c9ZGgm9D7ETHuNY7PHcHyHuBHn6+NfJyWjiNeuEJ5cQbg7K2oSsL1BXPEiUgljtfI8dO7fsLB/L+1EFoCEmiapbQ7nbBVEumLy0MAL9AwMbwgixVEIlzfbZXbcJv7IEIa1M4xxozo0kfhQY/a2bVMoFFhbW6NUKuH7PkNDQ4EougMCURQQEBDwc0bL9nj50iqXlncJJvyEcH2f185O88FaV1z8UnKOf5KdRBV37sjQvDb7Cz8l0em2tubjTzAXf4qtruSIoXKwP46hKsw5NY615mjduL/sOkYEmTvM6dIF3l56G4CByABfG/saRs1De+0c1lK5q35uQCLoeGN44ktIxSLSWOLgxT/j2uFHcCJxNKGT1Xoxlc3VHI7X4ULxNVputSuI+l8gNziMogqQoLd0QpVuoKSv+LTTHdIHRtB3EURqVCf0UOaeQxg7nQ75fJ61tTXK5fLOlSYBd0QgigICAgJ+jri6WuOli6s0OvenOgTQbrf58elJphsGCj7/Vc8VvpJcvKt7hO0CB/I/xvLqeELjavpLFMPj284kQjr7e6MoQvBue4UTndWbf9iHkjiZfbyy+DpXylcAeCjzEM8NPIcyX8G6xQ4zKRXa/n588VmkYhCvzrDn6r9j5pEn8MwwMTVBSstu26fmeG0uFF/fJoh6Boe6gsiHUCWE0V5vr5kO7ZRNds/YDkEkBBgjccw9CYR6d5Nl7XZ7QwhVKpVd3xspJZVKhZWVFQD27du340zAJoEoCggICPg5oGm7/OzS2n2tDgHUCkv89dkCBdckojj8H/vP8Ui4dFf36GlcZqL0Oor0aKsxLma/SsvYnheXjRrs6YnSki7HGnMsuLfwTMV6qUR7+NHU31BoF1BQ+OzgZ3ko/RDizBzWydld84cAfKnR9h5CKk93F7uWLjK4+JfMPn4UoYbI6TlCyvZk6e2CyOLh/i+THRxC1ZRuu6wURvW67bJOrIMdc+kZG9vRMlMsjdBDmbvaZt9ut1lbW9sQQrvheR7FYpFCoUChUMB1u69d1/VAFN2GQBQFBAQEPMBIKbm8Uudnl1Zp3ifvEHSzg1amz/IXMyaONOnTm/yPAx8wcBc7zBTfZaz8Jr2NSwCUrGGupr+Eq24XBQMJi5FMmHmnfut2GUBqjFnhcezqf8b2bEJaiK+OfpV+I4f2swuYV1d3zR8C8HwLx30UX38ChELP2ikStVeZf+gpwmqcjJZDEdurNx2vycXC67S9+g5BpDe3t8uaqSYyBD2j4zsEkdEfwTqQvuVes43H7HRYW1tjdXX1pkLIcRzy+Tz5fJ5SqbStaqRpGsPDwzzyyCO3faxfdAJRFBAQEPCAUu+4vHRxlcn7OFkGYNpFTp+/yI8LPQA8Hi7w3/WdJ6Le+S41062yP3+MqFNAAnPxp1iIP7HNPySA0UyYXNzk7fYKp9qrN7+hUJDZfbxXn+W9lfcA6A338tWxrxKpC8wfnUZf272qJgHHi+G7j+OaDwMwsPgainKJwp6HyWo5Impsx3Vtt86F4uvYXhNDCfFQ//NdQaQqhMqb02WO4dBKthCGQs/o+LaWmdAVQofS6L27T55dx7btbUJot9bYdR9RPp/fsfvTsiwymQzZbJZEIsHw8HBQJboDAlEUEBAQ8IAhpeTcYpVXr6zdt9yh7hPxiZfO8peX2pxtdgXRb6Rm+FZmmrsZjkq1Ztlb+BmatHEUiyuZ56lYQ9vOKAL25aKoIcFfNaZYcW8RQKkadDIT/HTlOLO1WWDdP9T/HMZ0EeONy6i7LHQFkCh03BSK+ziutR+Akdkf0E6WEalDDKwHMd5I06lysfg6jt/GVCM83P886cEBNKkSyUc2pss60Q6daAdF0+gZ3e4h0tIWoYcyKNbuH72u65LP51ldXaVYLO4qhFqt1oYQunFReTQaJZvNks1mCYfD20IjA+6MQBQFBAQEPECUmzbHLqwyd59Sqa9jOhWMhbf53mw/q24KU7j8N70X+czdJFRLn5HKewzW3gegZuS4nHkBW4tuO6ar3VDGJdHg1drC7rvLrmNEKCT6+OG1H1O1q6hC5YtDX2R/Yh/621cxzi3evF0mdWw3je48QTs8DtJnbOYvqfWrxGOHiKupXa+r2yUuFd/AlTYhLc5DfV8iNdiH6RiEy+H1MEafVrKFa7rrgmgc3ey2BYUiMPckMEbjO4TKdf/P6uoq+Xwe398ugqWUNJvNDSFUr2+vGsbj8Q0hFArtnGoLuDsCURQQEBDwAOD5kpPXSrw9WbgvO8s2kJK++jkW56b4vy3vpyNVcnqL/3P/GUbMm2QD7YLuNdlXeIlEZwmApehDzCY/gxTbl52GdJWJ3jDvustcsm9t2JbhNBdVeH3q73ClS8yI8bXRr9HjRrH++hTqTdZ1SMDzw7h2AsM/Qis8hOLZDM3/JY3RDLnQMIbYfRS+aue5VHwTX7pE9BSH+79Eqi9HuBHCbHSvcXW36x9SJaqu0zM6jmZ0v6dG9O5esy1BjFsnwtbW1nCcnVWtRqPB6uoqa2trtFrbfVvJZHJDCAU7Oj9aAlEUEBAQcJ9ZrrQ5dmGFtdou+7s+QUynwljhFX6wEOG/lA8B8Ei4yL/sO0f0LvxDifYCewsvY/gtPKExmf4ChfCenedCOvGM4G/aU1R9+5b3dOL9vFqf4fL6uP1IbIQXRl4gMlvFfO0E4ibp1BKB48XRGiE0/Tla4Rya0yBb/Hv8iTH69dy2UfutlDsrXCm+jY9HzMhyeOBLJLNZopUImt39+OxEOrRjbRCgGSY9o2OoelcAGUNRrP2pjVH7ZrPJ8vIyKysrtNs7E7+bzeaGEGo2NyuFQghSqRTZbIJMphfDCITQx0UgigICAgLuEx3X483JAu/PlbmvWXvSp792lmjhff7viwe52E4C8CvJa/x2duqOAxmF9BmqnGCwdhoBNLUUl7Mv0NJ3tqUyUYNirMErrbVbBw0qCoVoLz9eO065U0YgeLrvaR7PPEb4zasoFxa52dPzpYrjJYmVBfX4l7GNBGanSKz9JrHhg4SV6O4XAsXWAlfL7yKRJM1eDg58kXSqh0gpjOIrSCFpJpq4ofVxd8uiZ2QcRdO6ZurDGfRcGMdxWF1eYnl5eYcHCLoeoesj9ltbY0II0ukEPT0G6XQbTVtBMoXg6zd/r25CKBQKdnbeIYEoCggICPiEkVIyuVbnZ5fWqLXvvALzcRBySuwpvMK1ss13l5+g4pmEFJf/Q+8Fno7eZLfYLphujX2Fl4jZ3Ymx5cghZpPP4CvbP2YEkEipvK8vs9a59Ti/VA0umgavLbyEJz0ieoSvjHyFQSdB6D+fgOLN23meb+I6MXrWJCt9v4KnhbBay8TVC+Ryh1BvaONtZbU5zXTlFABpa5CDg18gG+7BKlkIBJ7m0Uw18bWu/8cIh8kOj6GoKlrawjqcptyssnxuelefUKfT2agI1WqbE3JCCJJJi54eSTZbQ9VmNt+LW75TO4nFYhsttkgkEpiu75BAFAUEBAR8glRaDj+7tMrU2p37cz4OhPQYqJ5moHKKvysO8eeFw0gEw0ad/77/LP13kT+Ubk6zp/gqmrRxhcFk+vMUwxM7zikKOCmbVyng7bJ7bCuOEeVVZ43Ly5MADMeGeWHkBZKXCmhvvwfO7mZsCbheDLUp6C8ZzA3/ClKohJrXyEbypM3xXa+DrlhdrF9kvn4BgJ7wGAeHPk+P0oNe1wGwQzatRIvrHTcrGiMzNIKiKvjDFstanZVTk3Q621uhjuOwtrbGysrKjopRMqnS09Mhk22g6/dWMuwKqk2vkWXdeSBkwCaBKAoICAj4BPB8yalrJd6eKuB493cvVbSzwkTxVfx2jf/LymFONLrj9p+PLfHPc5cxlTuLAVB8l9Hy2/Q1uiKiZuS4kvkyHW1nxo+reSwlquTl7afq1qwYxyoXtrXLnow/ROTHF+Fa8abXSRRsN0kqX0b1D3Ft5AsAhFtXGEr6hJT0za+VkpnqaVab0wAMxg5ycPCzpJ00iqMgkbQSLZzwpncpnEwS7+2nKGuUwx0qi9snw3zfp1AosLKysmPEPh6X9PS0yPY4GMa9/e9BVVXS6TTZbJZMJoOu6/d0n4BNAlEUEBAQ8DEzX2ry8sVV8vVbm4k/blTfZrhynL7aeabbEf6vS0dYdUPowuOf9Vzhy/El7rTLEnJK7Cu8RMQpIoHF2GPMJY4gb0iAlkiKZpOFSBVP3lpsSSF4X4N31t7Blz4RPcKLIy8yljcwfnQc2dzdTA3gSx3HiTE6u0Ax80uspg8DEHcuMZrUUcTNBYMvPa6WjlNaX0w7lnyCw/3PEm1Hu+0ydb1dpm8+fy0ZpxKCmfpVSOnQ6b5xN06Wed5mRSsSccnlHHp6bEzr3oSQpmlks7309PSQTqdR1Zu3AQPunkAUBQQEBHxMNDour13Jc2Fp91HxT5JUc4bx0hvoboNj1QH+3dpeHKnSo7X4P/WfZcK6w9Ts9ZH90fK7KHjYSoirmS/tCGMEaOEyGy7RtOybzHdt0lAVXuqsMl9ZBmA8Mc6Xej9H9p05uLR8UyP69XF7ra5yaHqGyb2/RyPSj/AdetQ5+mO3ntRyfZvLpbeo2QUECgeyn+VA+imsdvc6x3RoJpuggC99ql6bdlTH8YtoVgg11p00azQarKwss7q6TGfLnjXD8Mn12uRyNpHIvQVxqopKOBwmHAmzf98zGMat07AD7p1AFAUEBAR8xPi+5IOFCm9O5u9vIjVguHXGSm+Sbs3Q8DT+p9WHeKeeA+DJSJ7/pvfCHY/bG26DPcVXSHYWgO7ussn0F3DU7QtTJZIFUWMhUsUwbjbwvsm0IvlZ9RJtr4OmaHx24LM8ZvcT+sszeNWdo+ubj9Mdt8+slMmt2pw//C9wjBiK12TUWiN+m63zHa/JpeKbtNwqqtB4rP9rjIcPoTnddOp2rI0dselIl5LToOy1MGJRjIiGkQtj+zaLc5dYXc1Tr2++h6oqyWZtcr0OiYR7x9W3raiKSjgSJhKOYFnWhlE6qAx9vASiKCAgIOAjZKHc4uWLq/c9c+j6mP1Q5QSqdLjSivP/WD7MmhtCxed3slN8PTl3x+s6Ms1JJkpvoPkdPKEym3yGlcghbvzEb+JwXs3jRlxM7daixEHypl/nfLW7qiMbyvKVwS8z8n4Bee59vFt4r3yp4neiTExN4Wv7+ODRbyIVFd2vsjdcxrhNjEDTqXCp+Ca230JXLJ4d/k36lCGE102nbiQblLUGRbtBw+8ghEIoEUfP+lTlNMuXShSLPlJ2X78QklTKJddrk0473It2uZkQCvjkCERRQEBAwEdAvePy+gPSKusaqV8n7BTwJfxNaYT/rTCOh0JOb/Ev+86xx9p9WeqNqL7NeOkNeppXAajrWa5knqetJ7edk0hmqTJplEhENExxa0G0Kh1e6ixRsrvv12M9j/E5cYD4317FKd/ajO35JqGSZN+V95kd/Q2W+5/tvm5RZixUuW2uUrmzwpXSO/jSJawn+eLQbxMnAYBtOMxHVynIOo7tIdQ2erSOjDosdaZZvaThONdfmyAW6wqhbPbeDNPXW2ORSCCEHgQCURQQEBDwIfB8yem5Mm9PFbBvM2b+caN5bUYq75KrXwSg7Or865XDfNDsTl09G13hf5+7RFi9xW6xLcTbS+wt/gzTqyMRLMQfZz7+5A4zdQ2b98UqtumQChu3bJd5UnLCq3KyOY9EEtbCvDDwJQ5fsOHcmVtO5knAcyIMzq6QWytz9qF/QS0+CtKnTyuS0+q3bVV1M4hOA5K+8ATP9v06hjSQSNZCZSbNeRSjjGKW0Y0K5Y5OoR6nnjeArn9I17s+od7ee/MJKULZEEKhUCgQQg8QgSgKCAgIuEdmCw1+dmmNYuP+TpUhJbnGRUbKx9H8rgfnTDPF/2v5EBXPxFifLnv+DqfLFN9luHqC/toHCKCtxriSeZ662bvtnI/kKiWuKCUSYZ2UYex+w3WKXpuf2qvknW51aE9iD19RHyH9o1nsSuuWCYVSKqg1g8OXzuNqvbz31B/jGHEU6TBm5Impt25XSimZq51jqXEZgMPpz/NQ4hkUqeAIh8nsKRqJKUy9Rq1tUajFKK32IuV1AShJZ1z6ejuk0i7KrQthOxBCEA6tC6FwCOUmlTRXQtEz0IUkpd582i7g4yEQRQEBAQF3Sblp88rltfsewAgQ6awyXnqDqN3dXu9KwfcL4/xtaQSJYMio8y/7zjFs3j4fCLqtt73FVwi5FQBWIgeYST6Dr2wXPEVafCDWaKoO2YiBcQtTsy8l77sl3m0v40sfUzX5Yu45jlyQeJcvYd8mt8nzdbLzdcZnzrLU/3mu7vktpKJiijbjRh5TubVR3JMuU+UTFNsLKCg8N/ibDBrdXWz10DIzw8doig75Wox8dRjb3RzfD4c9enttcr32XbfHBALLsohEI4TDYVRlp9Go4ausuCarnsmaa5L3DDwEnwmVAlF0HwhEUUBAQMAd0nE9jk+XOHmthHc/N9kDmtdipPwuucZlrpdYFuww/8/lw8x0uuGJL8QX+Kc9V+8ojHGzOnQGgcRWQkylP08pNLrtnIPHBVFgRlQJ6Sq9YRPlFuWnit/hpc4Ky+vVodHYCF/3HiL7k0Xa9c6tq0OA0tQ5cHmWRLXKpf3/mOW+ZwBIKnWG9QLKbfxDLbfGldLbtNwaES3BF0Z+k7jsTt8tZ05xKXaOtUKMcqOP6zHVquLTk3Po7bOJxby7nh4zDINoJEokEkHTNj9mXQkFryuAVteFUMMPpskeJAJRFBAQEHAbpJScX6ryxtU8jc6d+XE+vifj01c/z3DlPdT1zfJSwk8qg/wv+T04UiWqOHy79+Id7y67sTq0Ft7LTPJZXHVzVYREskCd8yJPR3gkQzpRU7upf0hKyTmnxFudFVzpoSs6X0gf5Zkz4M7N0L5Ndcj3FTKLLcanL2AbGU488T9Qjw0DkgGtSFat3VSsSCSYDQruJNMrU/i+ZCi+l6ezv4wuLWpqlePJt5nv+NiN/o3rImabvt42vcPc9fSYpmpEohGikSjGehux4atcszdFUGG9CnS3+L5Lp7NEu71AtXaWxx79s8CH9DERiKKAgICAW7BQbvHKpTVWbpGX80mRaM8zWnqLsFPa+FrZNfg3Kwd5v5kB4NFwgT/ovUhau73PqVsdem+9OsRNq0N1bM6INdZEC00R9ITNW47bl70OP+ssseR2AyEHwv38WvMAmWN5Oq1bt7okoDUV9l2eI1UusdT7NJf2/za+aqLiMaqvEVN3/iyk4iAjJWSkhBcqMn+txNp8G4HCU/3Ps8c6wqIocdY8yzxlZEMFVBTFIxOt05OskeozUaw7X5WxYZiORjDMEEXf5LJnstroCqG6f28fsYp0UDvTlJpXaLXn6XSWgc1qX7M5SSSy957uHXBrAlEUEBAQsAuVlsPrV/JcXrmz0fWPE9OpMFp+h3RrZtvXj9ez/NnKAeq+gS48fjc7ydcSC3fU7rmT6pCLz1VR4iplfCEJaQqpiIF6kwfwpeR9O8/xzhoePpqi8bnQo3z+fUGnsELnNi1HKQWZhSZjUzMIVM4d/KesrLfLIkqLUT2PLrqVum41qN4VQtEi0qqCgFbbZfpsjVbVI6zF+czQr7CiSb6vvkVVub7kVhAx22TjVVLROpohsDJxhHZn5SHLtFAjCepmmmk/1PUDVe+tCgQgpEvCmyXlXCXlXiXhzaLgUd5yRlUjWNYQgwO/jWFk7ulxAm5PIIoCAgICtnDdN3TqWgn3PvuGVL/DYPV0t5KzZW9Y21f5d2t7ebk6AMCoWeO/7T1/R2ZqxXcYqbxHX/3senUozFT6c9uqQxLJCk3OijWawkXAbdtlea/Fy+1F8l5XeAyHBvi1lWESx+u07Fu3HLvVIcHEpXlSlRL1yAAfPPxt2qEcIOnVyvSqFVAd/EgZGSkiIyXYUg1z8SmU2iyeb+I7kE3uR8/t4wfKVVzRfe8U4ZOO1eiJVwmb3WsVU8PKxHeEUG7FB5pKlEY4Q91IUyBCzdegddNLbomQHnHvGil3XQS5M6hsr6D5SoxYaICQNYhlDaFpCYQQDAz8Q9QtwjXgoyUQRQEBAQF0V3OcXazw1mSB5m0+xD92pE9v/SJDlRPo/vZP3outBP965RCrTgiB5FdS1/hWehpdub2AS7auMVF6A9PrtrXWwnuZTj2Hp2zuB2tgc1bkWRFdgaUpgnTEwLzJdJkrfd7rrHLaziMBUzV50T/Ek+96tBsV7Ns8Lel3q0Pj0zMovs/M8ItMTfwqCA0Nl5HwHJHkPH6kiAxVYYuxWiJxhU8Ll9XJNuVrDn4shTG6n2ndA1YACOkOPYky6VgNdcv7pEZNzER0x3OyUSkRpkiEqpGibiRBNbs+7HuIohLSI+YtbBFB02hsb292RIyStoeStpeStpdHI+odB2wGfHQEoiggIOAXGiklM4Umr11Zo3Cft9gDJFpzjJbf3uYbAuj4Cv+xMMEPy0NIBBmtzb/ovcDhcPm299S9JmOlt8i2pgBoq1GmU5+jHBreOOPic0WUmFxvlQGEdZVUWL/pdNmS2+Dl9gKVdcP3PmOYX7uSQVvp0LqNkVoCZg3GL8+SqFVpWlnOPvxfU4+OARC11hgceQMtVN2hQyQSW/i0FZdOy2P5vENdzeDu7cXXdZp4CAl9mkGsZ5ZouLmtECQFGMkwejiEBJoYFIiQJ0KRCHU1gq4bGIaBcreBRADSJ+otknInSbtXSLrTaGz3QdkiTFnbS0nbQ1HbR1PJba9WiRIBnzyBKAoICPiFZbXW5vUreWYLd5bh83EStguMlN8h2Z7f8b3LrTj/euUQy0538erz8UX+Sfbq7ZOppSTXuMRo+R00aSMRLMUeZi7+FL7SNRRvTpUVaItuC0cR3XZZ2Ni9XdaRHm+3lzm/LtzCaohfLo+z/7KgY7e5XZ1Nugr9MyWGFuYREq4NfZHJPb+BFAaK4tA78B6p9JUdHS0fiS08OoqHLySFRYWVcg9Ob4braYqm1Nnv9xLrmaGTmtzx2J4maKf7WNQTFIhQIEIbHQQYmoFhGsS0u/xolJKIv7xRCUq5k+hye4XPwaKs7aGkdytBdaUPbrMKJeCT54ESRVNTU/zFX/wFExMTTE1N8fu///skk8l7Onvy5Em+/e1vc+LEiXt+jICAgE8ntbbDm5MFLixVkffXNoTh1hmqnNiWN3Qd21f4fmGcvysPIxGk1A6/33uRxyPF297XcspMlF4n0VkCujvLptKfp2FkN86UaHNO5CmKzSqGoSqkIwb6LptipZRcdsq82VmmLbvS5zF/iK+ei0PNp3O7VhmCSN5lz9VJQu0WLTPN2cf+KbXwfgDCkSUGR97EMLaHYvpIOopHR7j4QK0VYnE1RUePs76yjIwf5bA3TJ+uMD/2Eh2j2yJ0UClqMYpqnKIZoxHN4onNjz5FUQgZJoZhIO50Oy5g+iXSzhXS7mXS7hUMWd/2fReTsjax0RKrqYOBCPo54IESRd/61rc2RMzU1BTf/va3+f73v3/XZ6+LnpMnT36oxwgICPh00XE93pspcXL2QTBR2wxU36e/dgZF7hxTv9qO86+XD7LoRAD4YmyJf9pzlYh665F2IV0Gqh8wVD2NgocnNOYST7EUfXjjQ7mNywVRYE5selYEEDM14iF91+pQyWvzanuJRa8rWDIixq/O9NG7ouF5tzbaSEDpKIzPLtCzWMAXCtN7vsLM8DeQGAjh0tt/knT24rbqkIeko7h0hIcEyq04K5UUHT8EOiAlg36cJ9x99Mokq+kznOt7n4IRoaDmKKoxakoYKUAYCrppcj2gUdd1TMNE0+/sY1DzWyTdq6TdrhCK+Gvbvu+hU9bGNzxBNXUIKT7aYEZNjwf5RB8zD4wompqa2vbfExMTHDt27J7OfvOb3/zQjxEQEPDpwfMlH8yXeWe6eNtJqI8bIT166xcYqpzc2FO2FdtX+E/FsY01HUm1w7dzl3gyWrjtvZOtOcbKbxJyu+nRZWuIqdRn6WhxoOsbmqTMpChvTGTBupk6bOyaPeRInxOdVd63C/hINFS+WB7gqckovi3xbhFJLVQfJWLTs1hl4IM8mu1Tjo9z/tHfpa11J+dCkRUGh9/ENDcFmodPW/GwhYcnFQr1NPlGCsdbzxDyPVItj+f1Z0n7SWzV5ifjZziVcWgrj297DlJIVFNH1Q0UoWCYd+YVuj4mn3a6laC4dw3BVpO3oKoOU9T2U9T2UdHGkOKj/UhV1RBWaJhQaJiQNYyuJz7S+wfs5IERRceOHSOdTm/7Wjqd5uTJkzz55JP3fPajuC4gIODnEykll1fqvHE1T6V1n/dISUmmOclI5Timu/tU0cVWgv955cBGdehzsWX+Wc8VorepDhlunbHyW2TWc4xsNcxM8hkKoQkQAolknhoXRZGW2H6viKGSDO1upp51arzWXqQmu+/dPjvNVy9nCNVU/JuIIWG46LE2WqxDuGzT/1qVUMHB0UKce+QfsJJ5DhCoapve/pMk01cRoutt8pC0FRdH8bFdjXyjh0IjiS+7FRfhOhjFNZ4IP8zD2hPgw3y0yV/sv0bFFFzfYg/rjUhVopkWhmlimia6pnOLCG6i/hKp9ZZYyp1CvWFCrKH0UNL2UdD2U9b24iqhW/5c7paW1MnLJGtemDecvfxxZohv5JIf6WME3JoHRhSVy+Vdv14s7uyd383Ze72u0+nQ6WxuXa5Wq7e8d0BAwIPFXLHJa1fy9z+JWkqS7TlGyscJO7tXe5qeyn8o7OFYZRCApNrhf5e7zNHbrOkQ0qO/doah6ilU6XaN1NGHmUs8ubHANU+Tc6JARWzfIq8KSIUNQvrOFk/Vt3mzvcT0uniL+ya/NNvLyEqoO7q1/QWiWOtCKN5GsRyUhkLuzSapy00ksDhwlCv7voknuuPvidRV+gZOoGkdJBJHdCtDrvDpuDqrlRzFZoLrCkZ02hjFZZIdwdNDv0mvmwTgzf41fjqygn9DHIEUIDRBOBrHCoVQb7Kzw/TL65Wg3X1BtohS1PZ1q0H6PjpK6pY/j7vBl1D0TfJ+nDU/xIqjUt02sefyTqURiKJPmAdGFN2MmwmZD3v2dtd997vf5U/+5E/u6X4BAQH3j7Vahzeu5pnO3/8N9tHOMiPld4l3lm965kQ9w79d20/R7QbyPR9f5Hezk7etDsXbC4yX3iTslgGomn1MJz9L0+hWw6t0uCAKG3lDWwmtj9rfmEztSI+TnTzv23k8JELCM/kePjOTRnO3npWoYRst3kaPt1H0bkvS9xSSpz1yx0uotqQWHeL8o79NwxgHwDDLDAy9QyS6sm2s3hOSjqOzWO+n2oxyXQxJt014aQ61XmGk/zmOpp9Dd1Vaqstf7Z3ncnqXipsCVsgklkwhbmiRKdIh6U6Rdi+RcS4R9bf/XDwMStoERW0/JX0fdaX/lqGOd0PHV7rJ136EVS/EqqvibtNyEgFkdY0BS+fFdJzfGQiSqz9pHhhRlEwmd1RsisXirpNhd3P2Xq/7zne+wx/+4R9u/He1WmV4eHjHuYCAgAeDSsvhrck8F5dr932iLGznGa68R6p17aZnyq7O/29tH2/XewHo1Zt8O3eJh26TO6R7DcbK75BtdsfNbSXEbPIz5MN7QQiaOFwWJeao7ijqdEftDcKGuq2LJKXkilvh7fYyjXXT93gjyvNTOdL19ZaUkGiRDlq8jRZro2j+lusVrAVJ32sVQkUHW49y4dHfYDX9DCAQwqGn9wyZnvMIxaMjPFqKR101WfOzlKsxqCkbz8lVPSKzUxi1CoYW4bG9v8eE1w8SpuJ1/mrvHDVzq2gUqEKg6IJQLIYZDl9/YoT9VTLuJdLOJVLuJCqbbdRtviB9PxV19CPxBUkJFV/vLoL1Qqx5FiVvZ7XKFIJ+S2fA7P7pN3WMdSH3fDrOkGXsuCbg4+WBEUUvvvgi3/ve93Z8/ciRIx/q7L1eZ673oAMCAh5smrbLu9NFPpiv4N3niTLLKTNceY9Mc+qmZ6SEV2t9/Pu1vTR8HQWfX07N8c30DIZy8ykuxXfpr59hsHp6o1W2HD3EXOIInmJi43FVlJimgid2vg8321u25rV4vb3EstetKCVtnedne5nIRxACtHhrwyMk1O3PTyJQywq5txokp5r4QmFm9MvMjH0DX3T9NvHkJH39p1CNBmuayZKRJK/HqHpRrLxDqGJviKF2SCG0PEdqsRsjkM4+xHPJrxLxDFzh89ORZd7uL2z4ggQCTSgoqoIwBeFYAkNzSdtnyLgXSTuXCMntIYhtkaCoH6CgHaSo7cNVwjd9z+8UVwrWPINV11oXQhYdudPIndJUBjZEkEFGV4NpsgeMB0YUTUxMbPvvqakpjhw5slHFOXnyJMlkkomJidue3Uq5XN74+t1cFxAQ8GDTcT1OzpY5ea2E7d7D7oWPENOpMFQ9RU/jCjdmDW1lyQ7xb1f3c7bVbXGNmTV+P3eRcat+02uQknRrmtHyO1jr6zlqRo7p1GdpGFlcfKYpcVWUcMTO9+Fm1aGW7/JOZ4UL6wGMui94djHLk4sJrIiDPlRGi7URu6wPkYBoq2RPtMl8UEPxoZA+yMXD/5CO1q18mVae6OhZykmbN4x+VowYtqKht1ziy03S1c32ZjOmI5olsu9fRvF8hGZwcOLXedSZAA9WQm3+8945VqNdf5iCgiYUVKEgNY+0ucaAuUC2fYm4N4uyJQPbR11viR2koB+gofR96JZY3VdZdbviZ9UzKXjGevNrE01An6GviyCDflMnfJNVKQEPDg+MKAL4/ve/zx//8R9z9OhRjh8/vi0/6Lvf/S5Hjx7lj/7oj2579tixY/zkJz/Zdt31Mf1bXRcQEPDg43o+ZxYqvDtdvO87yky3xmDlJD2Ny9vGtW/E9hX+ujTK35RGcKWCLjy+mZ7hl1NzqLtUda4TtvOMl9/a8CR11AjXEk+TD+/BFzBLmSuiRFvs/j7s5h3ypM8Zu8iJzir2ung4XIzyfD5OOuyi7V/bVQhBVwxJTyVx3qH33TJa26ceGeDS4d+kEjnUPaN1aI4vcHmwTVvrw8XvpkU3HbKrVUI1e+NerYRB2/Doff8sVqXrDzL79vPZxNfosbsVnLf78hwbXcZTJCoKmlAJiRY92iQ5fYqcMotJA7b4yBtKz4YIKmkT+OLeq/6+hKJnsLJeAVp1TRpy50dnVFU22mADlkHO0HZU5QIefISU97v7/vNBtVolkUhQqVSIx+P3++kEBPzC4fuSi8s13poqUL3P4/WGW2eweopc49K27fW7cbqR5v+ztp9Vp9tOeixc4L/uuUyvcfOpON1rMlx5r3t/wBcqC7HHWIw9iqtoLFDjkijSFLubsVUBybBBeMtkmZSSq26Fd9orGyP2vW2NX6pGmDBB3EKcSUBKlfCspO/NClbJoW0mubL/11nLHAUEvvApDpVZGy/gGC4usiuGGg7x1SahurNxr2bCpJY2SF+ZIn11FiHBMwxG9n+DZ5v7UaWgpjv89Z55JlMNNARZNU+fNklOvUpKWdxW7HExKer7KGoHKGgHaKv3blBurxuiVz2TVddizTPw2F7hEUDO0DbaYAOWTkxVPtJW2PPpOEcSkY/sfr/I3M3n9wNVKQoICAi4ESklk2sN3prMk7/PC1u7Yug0ucbF24qhgmPy7/J7ebeeAyCttfm97FWejq7dtHvTHbE/y2D1FNq6cMmH9zCbeJqOFmGROpdEkbq4uSjcLXdo0W3wVnuZVb+7jyvmCr5sWzzhaijWbRa3ShUtL+h9q0Z8roWrWlza98vMDz6PWP8IKecqrO4p0Ip0umGO62IosdrE2iqGkibVXAirWGL0Zycwml1h6I/u5/PRrzDc6I7sn09X+OHENOnQLM9qU/Sqk1jK9hZjTRmgoB+ioB+goo7dU3q0lFD1NVY8i5X1dljF13ecMwUMWMaGCOoztQ1D9EeJJgR9ps6gaTAWCjyt94NAFAUEBDywzBWbvHE1z1Ll/mYN3Y0Y8qTgR+VBvl8Ypy01FHx+KbnANzPThJSbtPukJN2aYaTy7kYadV3PMpN6lqrZyxINLos5quLmolBTBKmwgbUllbrsdXi7s8S02xUUhoTPdQyes02Mm6YYdnGlRrORpO/dMsMXVpFC5drQl7i651dAhBBAPVFnZW+eeqq1nmwtMRsO8dUWVmNTDDVSJtWeMEiXvpNnScx124F2JETPga/wfGU/ZlOlHlnk5IHXIXmer6vXULZ4pFypsyrHKBiHqYQfo6PcfbpzNxvIYMU1WXEtVjyLltwpplKaYMA0GVwXQumPyRAdUVUGra4IGrR0csbOmISAT5ZAFAUEBDxwrFTbvHH1/m+vN90aA9XTd9Qmg+42+3+7up9ZOwbAPqvCP89dYtS8eWZSrLPMaPkdYvYq0B2xv5Z8mtXwXpZFk8tifkfw4lau7yyLhfSNJk/LdzhpL3HWruIDQsJTtsbztkVsl6koAB9BWU+S17LUnQQH3prjqfcuISQs9z3D5X2/hqd2hUgr3GZ5zyqVXKMbnCglZr1bGTKb3ZaeFNBIWVR7Qni6QnJ6nt4PLqPaDlJAa98hngt/liGxTGXff6ScO40MrdK75TnV/RQr3l6W5ThFfRwrnka5iw32jhTkPZNl12Rl3Q/k3tAKU5D06jBomQxZYfqtj8cQLRBkDI1BU2fQMhg0dRJaMH32oBGIooCAgAeGYsPmzck8V1ZuMY31CWA6FQarp29roL5O2TX488IEr1T7AYgoDr+TneT5+BI3W7xuOWVGK++Sbs0C4AmNpdgjzMceYVFxuCwWbimGAExVIRXW0VUFkEjR4mxnjePt2obveL+t8FXbIudv/3XvI6hoCfJGhqKRoaClUWzBkTfP87W3XsKwPVZzT3J536/j6F2Pjm04LI+vUhys4KuAlFjVrmfIbG2KoXrKotYTwjNUrFKV4ZPnCBcqADi9IfqfyrHXnKaT/gHz2mYV0JcKBX+EFXcvK94e6iKNr/kY4RDhSPS2U2MtX2F1vRW27Fm7ToUZ+PQZPoOmznAoRr9lod3sh/QhuN4KGzKNjYqTFUyfPfAEoiggIOC+U2k5vDNV4PxS9b4GL4acEgPV02QbV+9IDLlS8MPyEP+5OEZrXXR8MbbE72YniWu7+350r8lQ5QS9jUt0t5IJViMHuJZ4kmuq5LJYuWWbDLpG6kRIJ2yo6MJGVZqc7ZR4q9nkek2q3xV8rW0y4XcDAH0ENS1GXs9QMLIUjDSeUJFSoLjw6DtXeO7V04SbbfLZR7m879fpmH0AOJrLyugqayNlpMa6GLJJrLYw1sWQL6CR7laGfF1FsR36Tl4iNXkNK9Eh9kSD6CGXRLSIEJLrUsj2oiz5e1j19rDmjePS9dL4mgcahGNJNGNniKGUUJPallaYScXfeS4sXPo0h0FTYzgcpdeK33YZ7L0QUhSGLGOjCtRrBq2wn0cCURQQEHDfaNou70wXOXOfgxfDdp6h6inSzRlulTO0ldONNP9+be/G8tYJs8p/1XOFfaHd9yQqvs1A7QwDtQ9Q11Oji6FRZhJHmNR1rorCbcUQdI3U6TCE1Qa60uRsp8lrlTaV9eed9gQvtA0OewYNNcZ0KEtBT1MwMjjKpolYSoFw4JFTkzz32vvEqg2K6cN88PCv0woPAeCqLssja6yNlpA6ICWhik18tYnRXl/tIaCeCVHLhvB1BaQkMTPHnuVTpAdKxJ+qYyW3vy6zMka5c4D3IoOU6GXrllapSHzNRzdNrGhsY1WHL6F03Q+0Xg1q7jIan1RserUOAwYMWWHSVhJNjdx8Eew9ktK3tsKMj813FPDJEoiigICAT5y243FytsSpufJ9DV6MdpYZrJ6+5TqOG1m2Q/z7/F5ONrIAxFWb385M8sX48q6tMiE9cvVLDFVPYqxPf9WMHNPJp7lgRrgqSrecJrtOSPPpjbnE9DYKNhdaNq802hTWxVDch2ftKIPKCMVIlpf0DB115wSTlArCg4dPT/Lcq+8Tr9QppQ5y/MivUI92d5R5isfK8BorYwWkIbpiqGyTWG2id9bFkCKoZ6yuGNIUVBzGnXNMtN4nc7CI9sSmqVz6KtHiYSKrT+BWH+Inox0W4jvN877mgwahaALVMMl7BsuOxbLbFUE2203RCpKM2qFP7dCrdRi0TGJmEl3vRVE+uhUZAkGPoa1Xgrotsah299NuAQ8+gSgKCAj4xHA8n/fnyhyfKdF27lPwopQk2vMMVk/dclHrjbR8lb8qjvKD8jCuVFDx+Vpynt9KzxBWd3kt0qeneZWhykksrxtM2NLiTCeOcDqU5qpSoSVuvbRWET4xo01P2CVqON14gpbNz+ptltdzhSypsF8Ok9AfphSOUdrlPhJAKuAJHnp/kudePU2iXKeQeZh3j3yDRnQUAF/xWRlcY3ksj292iyvhUpv4WmubGKplLeqZEIbeZFw/x5B2lT7tGuqWNSCOo9NsHWbP7HOkVh8Fz+LdwRJvHS7gqjdstVckriapGUmKRpplN8Rq28K5wRSt4dOrdehV2/RqbXKaR8hIousZdD2JuIex/N3Y6gcasrpp1IEf6BeDQBQFBAR87Hi+5NxihXemitQ7t97+/rEhfTKtaQaq7xOx83d8mS/h9Vov/yG/h7LXrbw8Gi7wez1XGTR2mY6TkkxriqHKyY0N9rYSYjb+GG9HB5hUqnRE4aaPJ5CE9Q4xvU3CcrDWW1JTdZtXGx3mlW5CtIpKn3qQPvUAqmKwmyV7qxg6dGaKz75ymmSpzlr2Md45+g2akcHua1R8VgfyLI2u4Ye6YihS7hBfbaLbXaHjqYJ6JoTMtRiyzjNsXCWrbReVnarOWr6XldCzfGb2czxc7U6rrUTa/HDvNVajm8/SQ1BUIqzoEdbUOAUl2g1J3NJpM/Dp1dr0aW361DYZ1UZTdHQjha73oWuJj2SLval006iHrK4I6jP0j8V8HfDgE4iigICAjw0p11OoJwtU7lMKtZAuPY0rDFTfx3J39/vcjPPNJP9Lfi/Tne6IfU5v8XvZKzwZKez8LJaSZPsaI5X3iDhFABzFZDb2CK/H+plSmjhitzoOgCSkOUT1FhG9g66yLoYEH1R03rQbFGiBAgKFXmUf/dohdMW6yd0AqYIHB8/O8NlXTpEs1VnteYq3n/4lWuGugdpTPFaG1lgaySMtUBBESx3ia020DTEEDLbI5OZ43LxKUt0u6BorFpXZGPm1HHPjR3iSh/jWZBZdKrjC542RAu8NlLAVQVGNsqrGWFNiFNQInthefTGFR6/apl/r0Ke1SSk2igBFMTH0NLqeRtNuP4V2O66boofXRVCPoW0Luwz4xSUQRQEBAR85Ukqm8g3enCyQr916rPzjQvU79NYv0F87g+617uraBTvMf8hPcKLRA0BIcfn11CxfT87v3GQvJfHOIiOV9zayhlyhMxM7zM/ig0wrbXyxW8SAxFBcokabqN5GU3yEAEdPsEKWyzWfi/Y8dbkGgIJKjzJBv3YI4yab3SUCKRVUFx46fZXPvPEB8Uqbpb5nuPCZF+lYXR+Uq7qsDK2xPJrHN0CRglipa6DWHB+QhJMFEkOL9CZmianljcfwpUK5kKJ+Xqc6G6VjWxQf2kfioUf5vWsDZNvdatqlVJP/dX+D6XCINbWHghLBv0EEWbj0rQugrghyNvSOopgYxgC6nkJTox/KKB1T1Y0q0JAVbKcPuDmBKAoICPhImS91U6gXy/cnhdpw6/TVztLbuIDq3111qurq/KfiGMcqA/goKPi8kFjkt9IzJHYZsY92VhipHCfRWQLAEyrT0YP8ND7IrOogxU4xpgqPqNEmprcxVJcOJnm1n6qeo+JnyDfyLHTO0ZTdqpKCSk7ZQ592AEPZfReWlAKJitbxePzEBY6+dRazLVgY+CJnDn8RV++uz3A0l+XhVVZG1vB1georxIsd4mstNMclkVglnbtGJjtPSN/0O7lSZckZpTiXRr7dhHrXE1QdHaT90KN8MT/CoStJziRV/tcRwcv9MG/mkDcIj5Bvk5U1+vUOQyGfhOpuK/qoioVuZDD0NKoavmchlNDUjSrQkGWQDEISA+6QQBQFBAR8JKzW2rx5tcB0/tbm4Y+LkF1koPYB2ebVO0qf3ortK/ywPMRflUY38oaejOT53ezkrr6hWGeZocpJkp0FAHwUpqJ7+VFiiHlNAtsFlCJ8InqHqN5G1zwqSppZZYSimqWtxFFtn2plgUXnlR1iqF89iK7sFAjX/UISBbPp8NQ7Z3nq3fMgo1wb/hWW+p/FX5/A6lgdlodXWR0sIjWB6qskix3i+TrZyCLZsWuks3MY+mZVz5E6C84Ec5291GcsMh/MYNS7P9tOIkb+yUdJWIeItnP8v4cNTj6q0ta2P8mw36HHq5Pza2SokDAloWgMRd00RG8IISONusvrvBNSusbwlnZYPJgMC7hHAlEUEBDwoSg3bd6aLHBxufbJP/h662qg+gHJ9txdX+5LeKuW488Le8i7XX/OmFnjH2ev8nC4vON8vL3IUPXkRmXIRzAVGeMHiSGWdI2tGUcCSUjrEDXa+IZJSelhXu2hrKSQKCg+aB2fWnuKJfcSLdlNfFZQ6VX20qceuIUYUpEohKstjr51lsdPXKRjDjA5/k9Y7Xkc1ttUjWiDpZFVCrkyQlXQpEK82GLEmaQ3PU1mbB5tSwWs41vMO3uYc/ay7IwQWi6TO3OZ/lLXi1VM93DxyLOs9O1lTUtQMbaLD9N36PVq9HpVer0aEWnjqz7oAisaQze7rbWuEEpj6Jl7qgilt4igYSsYjw/46AhEUUBAwD3R6Li8O13kg/kK/iccQy2kR7o5zUDtg7uaJLuOlPB+M82f5yc29pSltTb/KDPF52Ir2/OG1oXXcPXkxgi/j8Ll6Ag/iA+wpm/NApJYqoNhStpmjII6yFUliy2M699GdUDpOBSdaZbcS9h0K1EK2hYxZO0wE3dbZAqgklkpcfStsxw6M0UleYhzh/5byqn9G2fLqQpLoytUUw2EomBIwXh7kjH9Mtmxa9uEUNOPMG/vZc7Zy6o7iETFKlYYOnMKo1BlfmCcyYe/yNTEIaqh+LbnZHmSsVaLkFYg59dI+K0NfSMViaf7GOEwZjiCqloYG62xuwtTzOjdjKCRkMGwaRAJRFDAx0QgigICAu6KjutxYrbEqWuffPCi6tvk6hfoq53D9O5tP9qlVoI/z09wsZ0EuibqX01d4xvJOcytJur1PKOh6ini9goAHgrnoiP8MN5PSd+c/NIUDz8UomPGyasZ6kps+4O6oDkS6XTIu5OseFdw14foNUz61H3klD1oN4ihrS0y6QtGpxd5+q2zDM8UWep7huNH/jHtUNcM7gufYq7E0sgqzVgbRUiGtUX2cImB8BS6vjnr3nbDzDr7mXX2k/cGuK5Q9FoDfSbPmp7ivSO/ynz/KJ62mYKt+pKHKj5PF10G7DrzPQs0LAe2piwI8FUP1TKIxNKEQjl0I3NXZum0rjFiGQwHIijgEyYQRQEBAXeE50s+mC/zznSRlv3JBi+abo2+2llyjYt3bZ6+zrVOhP9YmNhIotaFx1cTC/xa+hpxdcs9pSTZnmOoepKY3Z388oTKqcgQP0kMUtVMJOCqBk4oSttMUNeS+DekLeODcCWaLfG8FivuFVb8Sfx1BWEQpl89QI8yjqLoN4ghsSGGhOtz+OwkR986R7SmMz/4Rd549hn89bRqV3NZ68uzMryGHbLpM5Z43LjKqD6JoW6a3Tu2xUJrL5McYs0f5LpCcYRKyQtTbRssph+mNprc9jLirs3nVj2+vAJHii4to8NL46tc6t1pIvdVH2FoxJNjRONDaFr8joTQ1nbYiBWIoID7RyCKAgICbomUkssrdd64mv/Es4YinVUGamdIN6fuaEHrbqw6Ft8vjPNGrReJQCD5UnyJ30rPkNliLEb6ZJpTDNbe38gZcoXK8eggL8eHKGthGnoc24rTMhN46i5rJHwQHiiORPUktldl3rtC3p9B0q1ChUScfuUgaWUYRdE2xFC3KtSdIkMqGK0Oj5+4yJPvXsTWx5gf+h2Khw5vPFQz0mJlcJViX55saIknzElGjUksZVOs2LbJWnGMae8Ac9YYUlGRQFWNsKanyCsJikYCuWVBquq59HQqjHttvjmt84WlEAJoah5vjOR5v6+CvFHoCIFUQ8RSIyR7RhHKrUXNdWP0SOAJCnjACERRQEDATZkrNnntSp6V6ic4Xi990q0Z+mtnid3FGo4bKbs6f1kc46eVgW5SMvCZ6Cr/MDPFgLEpHBTfpad5mYHqBxvrOByh8lZ0kB+nDrBk9dG24th6FFX1dxY+ZFcICVeiuKC4Pg1/lWX/ChW5tHEsKjL0qwdJiv6uaNgQQ5tVISkFqUKFJ9+9wKEz8xQyRzh36H+gFc6tn5WUMxVWBpexeq8ybk3yJXOKkLI5Iec4Jvn8CMulcebMceqpEB1FJ6+nWNNTrOlJ7Bv2gqVLawwX5klbHgMhjc8vpHliOYkqBZ6QnOor8+ZIgY622V4UCPDCSDVEKNFLsncAVdfZjbimMmIZjIRMhoPpsIAHmEAUBQQE7CBf7/D6lfwnOl6v+h1y9Uv01c9iuvfmFwKoeRp/Vxrhh+VBOutb1B8JF/lHmSn2WJsTcpvhjmc3FrU2FYNjyX38l8xT5MN9oKkYqodAorHVb7QuhDwQnkTxJML1KMk5lv3LG5NkAEnRT796kJiS7U6FCbHNK4RUkFIycXWeJ969QHbVYGHg8xw/+vv461vtXdUl379GZ+wCg8kLPGJeJapuvkeOY1DIj7CWHyXfHKDUE2NxKMOakWZNT1FRt6dA63aH0YVJxueu0Ncu4o/3Q7aHI8sZnr6YwvS6omUq1eDlsVWK4W6FUADCC6O4UXzVQktESPb1YYRC234GEfW6COpWgxJBTlDAzwmBKAoICNig3nF5a7LAucUKn9RAmelU6KufI9e4dM9+IYC6p/F3pWF+VBnayBraY1b57ezktvF63WvSXztDb/0Cmuw+XkGL8JfZo/x97hl8XcFQXdadQ5sPsEUI4XeFkOqB67dZ9adY9Sdx6FbUFFSyyhi96j5CIrZFDG2vCpntDo+cusJjJ6Zom4dZGPg9rg0NbjxkI9qgPnqZ5Mh7PB66QlLbXBPieAaF/DD51VHK5X6q4TBXhoeYT+ZY01M4yvaqTbqaZ8/keSbmrjC4fI1Ob5bKQ/uxex7hsbUkz53KEHW679typM2rY3lmk+uTcZ6F4kURbhSpKRBTSPX3EYp2PUOWonTbYSGDEcsMEqMDfm4JRFFAQAC263PyWokTs6VPZqJMSuKdJfpqZ0m3ZuEe/ULQFUM/KA/zw/KmGBo1avxWZoYjkfxGgcRyygzUztDTuIyyXvWZNbP8b72f5+3sAVRVYggP2GIiv0EICR9UT6L4kpassuBfpeDP4q9fo2PRq+4jp0ygCbMrhMS6EFr/A5BdKfLk8QuMTnZYyT3H2cO/vWGc9oVHdegaoT1vMpI8T4+xuvF0PKmyUh+hOD9CKT9IPpxiOtfPzL5+Ctb25aia79BfXWHflbMcuPA+0Wa3StYY6GPlxc/hZNLsL0f5/PtZMq1uO61s2rw2WuBitoaQOqqdRnVjCGngqR5+DGK9OZLpNMMhk9GQyUiwOyzgU0QgigICfoGRUnJ+qcqbVwufyPZ6IV2yjUn6a2cJOzffFH8nNDyNH5SH+Pvy8IYYGjHqfDMzzVORfDdrSEri7UVy9fP0tGY2rj0fHuY/9z/LmdQYiiIxbiWEJCjrQghfUpHLrPlXqciVjUvCIkmfsr9rnhbqelXoentMRUpQPJ/9l6Z59MQ0RmeUxb7f4PTjIxv36MQKKIfeJNt3ioPmPIroCkVfClacIZYLeyjNDbIQGWA23cu1PX00zO1tq5jbIGcXmLh2hQMnjxOqdltsUhHUxkeoHtqLl0wwUY7wuTMZehvdWIGm5vLWcJH3e2vgR9HbQwjfQiDwFR8Z9tgzkOGR0RHGo2H6TR01EEEBn0ICURQQ8AvKfKnJK5fXWK1+/AtbdbdBb/0CvfUL6P7dLWe9kYan8fflIf6+PETT77aIhtfF0JF1MeRLH6M1x2jtfbKdrnjxgXcT+/m7/qNcjQ8AoFyvUPlbhNB631DxN8WQK21W/GnW/Ck6bPqskmKAPnU/MZFFCAUpFCTqRnsMIFms8sjJy4xOQSn1FLNDv4683tpS2siD7xAffYd90SlUsSnO1txeZtsHmCkcYtnrZy6VY/FoFn/LZJciPbJOhZxTpLexytCVq6SvzKC1u5lEnq5R2zNG7cAeZCTMWCXMZ89kGKh3xZSt+JwYKHOi18YlitrOdg3UQNJ36DEcHtrXz+MHDhK2toZUBgR8OglEUUDALxiVpsNrV9e4snLvZuY7JdJZpb9+lkxj8p5H6q9T9zR+WB7ih+UhGlvE0G+lZzgaXcNWVJYUk1zjIo+V3iXhdldTtBWdlzOP8KP+J1mxUps33EUICR+Udb+QABqyxJo3SUFe2xipV9HpUcbJqXuwRLTrExIaPpvtMcXz2H/pGg+dXkZ1Jljq+xaXDqS5/iDa4Ams/W+RS1/AUDZDFctuikn7EKfcZ1h0B1kOZaiMbQ+CDHltck6RnFMi41QIVaukr86RnJlHcbuiyg2HqOyfoLFvDEyD4XKIz53LMFQNA+AoPqd6G5zISWyRQHgKcden33bo8xyyEZvhxybo23cAzdgleiAg4FNKIIoCAn5B6Lgex6dLnLxWwvM/Phf19RUc/bWzRO3V219wG8quwQ/KQ/ykPEh7fZpsyKjzm+kZDiRqLBsxTvtxHi29w6+W3sWUXZFR0KP8qPdJXso9SkMLdW1L1yfGfDaF0Jb2mJDdKlNRzrPqX6UhixvPIywS5JS9ZJQRFKGBUNcDG9UNU3qyWOXRk5MMzIUopo4wN/jN9aslRvoyxqHXyfS+T0jbHKGve1HO2k/wLp/lmhhlzUrjqpu/moX0ybYrZPwSOadE1G8hfEl0eY30lVmiK5ttyE4iTvXQPppjgwhVZaQS4pkrGUYrXTHkCsn7uQ4ne1Q8JcJAx6Xf7tBvu0Slh58RZJ/cS9/efaha8PEQ8ItH8L/6gIBPOVJKLizVeONq/mP1DWlea71Fdh7D27lZ/m5Zc0z+tjTCz6r9OLLbMhox6nyhZ4Vc2mPJSKO3anxh5W94pHpuoxU2Hc7xg74jvJU+iCfUrgjqrAuhLdUqxZMoHijriqYjG+T9adb86Y0VHAJBShmiV9lLVGRAKEg0pFA32mOK57H/whz7z3eQci/5nn/K5ES31WREF7H2vUpi5AQRs7zx2E3f4h3n87zLc8xo41TD26tBlt1hqLJK1i8T12vo61UqxXZITc+TunoNo9FtQ0qgOdBH7cAEdn8OIQQHClE+M5+mb90z5AnJ2YzHbEqS8iVfrrRJuz4K4Cs+okcje+QwuYlxlNsELwYEfJoJRFFAwKeYlWqbly+uslT5+MIXI3aevtpZMs1JFPnh138s2GH+pjjCG7XejdDF4VCDR/pqWBmFjgzRV36H37r2KoOdTbPzieQe/q7vCBfCwwgpEPam4LnOVp8QdKtCJbnEmj9FdYtxWscip+6hRxlHFyFA2/AKASAht1Tg8Acl4qVeCukXWe5NAKCFSiRHf0x44jjx6GZ4Y0OGeNV9kXfls8zqY3Ru8Oj01EqMFFboa+UxIjZ2RAe1K7ysUpXU5ByJ2QUUryuQPEOnPjFKff84XjyK6gseXY3z9EKKVLvb8nKFZDHu0Y52GPJdxrZ0TH3FRxkI03t0P5nh4WCEPiCAQBQFBHwqadkeb1zNc/ZjyhsS0iPdmqGvdu5DpU5vZbod5a9Lo7xb7+n6dICBWJvxgQ6ZuEtvp8izS6/wTOldwn63ktNWdF7LPMQPe55iyUhvrNjYVhFaF0LClxtp1B1ZZ82fJu/PbFSFAOIiR06dICEGUYSORN220yzcaHH4g2V65+M0Ig/TiAzQ6AdFb5IYfJnw3jeJp2Y2JuNLMsXL3lc4wdNc00bwjc17aZ7LcHGV0eIyQ8UVlJCk2hPGiWvYGCiOS/zaEqmpOUKl6sZ1nUSc2oEJmuPDoGsYrsJT8wmeWkxt5Ay5iqQVsZGhDglVktiaO6lKQuNpckf3E8v1fBQ/uoCATw2BKAoI+BTh+5IzCxXenCzQdj76pa3dFtnF9RbZh0+7lhLONFP8bWmEs630xtf7Ujb7+1ukIzYHa2f57PQrPFK/vPH9RTPFT7JP8FryYVrrKyuEtymEbjRMw/Wq0CJ5f4qq3PQ66ZhklXGy6jiWiHfbYyhcX+iheB57L60yekVDMkEl8RyrOQWhOMT63yUy8Rqx3iuoiocE5hjhNe95ToijrCh9oG9WYMJ2i7H8EmP5ZQbKeYQiaaQtquNhPEMFKQkVyiSn5knMLW0Yp6UiaAwNUN8/jp3LgiKI2CpHppM8vpLEWE+g9hWfTrSDHbJhc51ZF0MherCXvqMHMaORD/ujCwj4VBKIooCATwmL5RYvX1r9WEbsI3ae3to5ss2rH0mLzJWCV+t9/G1plOVOdzxcIBnM2Ozrb9FrVHiy9AZfnH+DXrub4uwDp+J7+En6Cc5GR7uhiFu40TB9nZasUvBnyPuz26pCCdFLVp0gKYYQ6EihsnWzWe9Chf3nJWZzgGriKcpJFYRPuOci8dFXiA6fRdNsXDQu8BBv+p/jlHiKqpLc9ps11a4yll9kz/ISmUYFAXRCGpXBMM2ECYroeoWuzJOamseqbK4isWNR6nvHaEyMIEPddttEDY4sJhkuZFHWp908zaMT6eCEnB1b6bW4ReKRIbKP7kEzdt9NFhAQ0OWBEkVTU1P8xV/8BRMTE0xNTfH7v//7JJPJuz57q++dPHkSgCeffJKpqSnK5TJPPvnkJ/DqAgI+Hlq2x+tX85xdqNz+8N0gfTKtaXpr54h/RC2yVRnib2ujvFnsobne6lEVyWhPmz29Lfb6V3mm+CrPlj7AkF1TeF21+FnqEY5lHmPNSG67382EkCttiv4cBTm7bYJMxyKrjNOjTmCQQAqFrhzrKolEqc3+cy6xco565FHahk7bkFipWRIjPyMydhrDbFAnyts8w3H5DGfEY3SExfUumyJ9ejolRgvL7JufJ9buGqJ9Ac2kST1jYYd1kJLwapHkzALx+eUNr5CvKjSGB2nsHcPOZTCFz6hd45EFwdjKCFYrvvk6dZdOtINrutvEkBACqy9B+olxEnsHAr9QQMAd8kCJom9961ucOHEC6Aqbb3/723z/+9+/67O3+t73vvc9/uzP/gyAF1988ab3Dwh40JFScm6xymtX8h9pq0zz2lumyD5ci0wCJTXEOZnhZ6U+LuWjeH73A9rU/a4QyhR5qv4GX7z2DmPtTbPzjJXjx5kneCt5EHvLHi8ht7TGtgghKSVVuULBn6UkFzZyhUCQFP1k1QniDCGEtrmHDAjVHQ6cs0kWemhZj+CrBrUY6NEVkkMvE5k4iRUtsUw/b/JlTvA0lzmAFOqGEDF8m167yEhphfGFRaKNzYqUY6rU0xbNpImvKRiVOrkz0yRmF9Gbmwb4TjJOfc8orfFh0rrLAbfCcHWOkeUJIuW9KJ6+/p5KHMvBjth4xvafu2YaRMZyZJ+cwMrFCQgIuDseGFE0NTW17b8nJiY4duzYXZ+93X2eeuopSqVuOf5mVaiAgAed1Vqbly58tFNlYTtP30fQIvMQrGoR5o0EZ+0051ZiLBaNDRESC7lM9DZ4MvwBXyi9ybOXz2OtL2a1hco7iQO8lH6My+GBjV1em0IIxA3O8baskfdnKPjXcNhMyw6RIKuOkxbjaGLdQyMEIDBakgPnHVJrCTrGBL5q0oiAFiqSHniV8Ph7mOk1rnCAH/ErnOQoS2Jw2+NG3Tq9dpGBZp7h5VWipc7GVJsU0Iob1NMWnYiO2rFJTs+RmFnYZpr2dI36yCDenkF6kip7/Rq99iVSq2NE80+gt+IbCdO+4mOHbeywjVS3+KeEIJRKkDg4SOLhIdRQ0CILCLhXHhhRdOzYMdLp9LavpdNpTp48uaO9dauz77333m3vE4ihgJ9XbNfn7akCp66V8T+KsTLpr0+Rnf1QLbKOUFnSYyzocRbUGHPlEFNzFsX65gd0JtZmX88iX5Wv8+XSScaWN83OC2aan6Yf4/Xk4W7QIltaY7sIIVc6lOQceX9mW3tMxSCjjJJR9hIi3W0brQshva2w95IkvZrE0UaQikYrBJpVJt3/Y8LjxxHZEh/wOCf5h5zmSepis9oipE/aqZBzCvTZRdKVOtFCi1Dd2XxeukI9Y9FIWUgk0aU1cqcXiC7lN16DFIJGfw5trIe+XpNHRYOEv4BRSRFde5hQpQ/F35xScw2XTriDa21vkemmRaQ/Q+qxUULDSYR6o7M6ICDgbnlgRFG5XN7168ViccfXbnX2dvcpl8v8xV/8BQDHjx/nD/7gD5iYmNhxvtPp0OlslsCr1eqOMwEBnySTa3VevrhKrf3hAxg1r02ucZHe2nlM797WfdQVoyuC9DhrWoS2qzCzajGzatF2uh/QAklvssqX0if4Wutdnl2+gOVvVoXeTeznpfRjXAoPghAICaq70yME4EuPilym4F+jIpe2tccSop+ssoe4GNpYyApgtDTGr2ik1xK46iAIBdsA1aqQ6n2FyPh7NHpsTokjnOSfc56HccWmkNN9hx67QM4p0eOWsByXSKlNtNBGc7qPL4F2TKeeCdEJqURWCvSduEpsYQXV3ay4ddJx9OEUQ0NhhvQ2OjWE1yKSP0SkOI7eCW++VsXHDtk4YQdf25ynV1SVcDJJbKKP+MF+1JQZ+IUCAj5CHhhRdDNuJnLu9uz17201XU9MTPCVr3yFycnJHee/+93v8id/8id38UwDAj4eam2Hn11a4+rqh99VFrYL9NXO3lOLTAJFNdQVQkaCitpNSy43VKauWSwUTfz1lGdDczmcnea39Ff4cvU0g4ub/7hZNNP8NP0orycfoq6FukLIkyi+v0MISSmpyTWK/jVKcgGPzaqMRYKssoe0MoYu1gWFEFgNg/ErGoliCk/tB8DVQDVrZHp+ijVxkuXeEK+II5zkD5kR2/9RFHab5Ow8vU6JlFtFBfSWS7TYJlzuoKw/R08VNFIW9aRBqFwmfeFaVwg5m6LVC5toQwmGh0wGYwJFADQxa4NE84cwa+mNCTKJxDVd7LB9g3FaYMViRHrSJA4NYA7FUawH/ld3QMDPJQ/M36xkMrmjKlQsFndtdd3q7O3uMzU1tdFGuz6dNjU1taNa9J3vfIc//MM/3PjvarXK8PDwvb68gIC7xvcl78+XeXOygO36t7/gZkifdGt2vUW2dPvzW3ARrOhRFvU4i3qc1rrh2fMkC6sa06shys3NhaGpcJVfT7zOr7hv80R5EnU9RLEjNI4n9vNy6hEuRoYQUqD4Et3eXQg1KVP0r1H053DY9E3phEkrY6SVcUIk16skgmglzOiUTqycwlOz3eeogqJX6ckeQ9tzlsn+Hl4TRzjJr1MSma0PSNIp02sX6HWKRPwOihAIzydS7hAptjHamwLStrrGaewG8flp+t5ZQbU3xZpv6RgDYYb6dXozFtr62gzVCRPJP0y4NITmbL5nvtqtCt3oFTJCYSLJJNGJXkKjKbRMCKEEVaGAgI+TB0YUvfjii3zve9/b8fUjR47c1dmJiYmbfu/kyZO88MILG0br69zoQQIwTRPTNHd8PSDgk2Cl2uanF1ZZqd67kVr12uQal+irn8N077zK1BLahgha1qN4QkFKief51Goe1womC+UIjtv99SGEz2cS5/lt4yWeb35AorS59+xKqJ9X0g/zduIgHWEifIluSwQ7/VBtWd8QQm02s3pUDFLKCGkxTlR0d3spnkqyEGNw1iTUyCKVbqXIU0HVK/Skf4K9b5IL/UP8QBzlA/4xHRHavKfvkrUL5OwCOaeMidcVWFJiNLtVoVBlsyokBTTjBq5iE1leZPDcMtoWISRNjVC/SV+/RiYbxlJ1QCCkQqi4n3BxHLMZR6xX0q5PkDlhB9fYrApppkkkniTSnyU8nkbvj6CYD8yv6YCATz0PzN+2Gys1U1NTHDlyZFu+UDKZZGJi4pZnb6wsbf3exMQEf/qnf7rxvWPHjvHNb34zMF4HPDDYrs+bk3lOz5XveT1HyCnRVztLT+MKiry9/+j62HxXCMUoauGuCHJ93LaL43is1jUWy1GK9ejGdRm9zO/Efspv+G+yt73E9YJOWQvzevIhXkk9zLKR6Y7OuxKNndWujmxQ9OcpyXmacvMfKwKVpBgirYwRFwMoQsVsmaTzcXoXQuidLIhuBUYqYKrLZHt+TOFgiTM9e/gP4nNc5p93x+bXsbwWPZ08vXaBjFtFFWK90iTR2x7hSodQpYNubz5Px1RwFAezsEr26uo2IYShEunTSQ8YZHpChFQDZT1G2qwNESnsx6pltpmmPdXDDts4IWejKqQZBuF4gnA6RWg0gzEYRY0bgVcoIOA+IKT8ODYj3RtTU1N873vf4+jRoxw/fpzvfOc7G4LlW9/6FkePHuWP/uiPbnv2Vt87efIkx44dI5lMMjk5uU0k3YpqtUoikaBSqRCPB/kfAR89H8pILSXJ9jX6a2dJtBdue9wWCitajEU9xpIeoyU0XNfHczxc18OXLm0pWapEWSwmsZ1u20zH5evRt/kt/VWebV/cCFh0UTgV38OryYc5ExlDSmVjPP1GbiaEQBAXfaSVcZJiCBWDaDVKdiVKZjWO4ie23SfGJaJ9rzL5sMb59D5O89SOsfmkUyLTKdJnF0n4rc1pNHlzIeQLcFUXo7xGeGEJ1d/8ntAVon0aiQGTdDZESDPQ1gMgjWaWcOEgVrUXzd00a0uxnisUtvF0DwSoukE4HiecTBIaSmMMRLvtMTUQQgEBHzV38/n9QImiB5lAFAV8XFRaDj+7tMrU2t0HJap+h57GZfpq57Dcm09ISqCsWixrXRG0qoRxPL8rhFwfz/MQmoPUXErNEAv5JPlKjG5fR3JUu8hvh1/iK+5J4v5mFtCcmeWV1MO8FT9EQ4R3jM5f51ZCKCZ6SYkRksoIlhshXo6TW4oQL6cAa/Ok9Ej77+HsOceZQ1nOxg5zjke2tcUU6dHjrJFplemzi4RxQVGQgg0hFKp0CN8ghKQADwe9XCC8tIgit0x8hVViOY1Yn0EqY2FpBoZQAYHeShIpHMSq9qM5m+12icS1XOzQpmlaM0zC8TiheAKrP4nRF0HLhVG2LIkNCAj46Lmbz+8Hpn0WEPCLhudLTl0r8fZUAce7u3+bWE6Zvto5ehqXUaWz65m2UFnRoizrMRaVCDVfxXM93KaP77VA8VF0F2E5dFyFpUKKpXyKznpVaFws8Y9CL/Fr4i0GvCLY3fuWtTBvJQ7xVuwQ14yejXDB3UIVS/7irYWQGCFZz5AoJsiuRjBbcRCbeTua0yAl3mLu0RJn9g5z1nqYefH1bY8T9uv0dAqk2hV63QomIBUFX5FIBHrbXRdCNrq9aZiWgJQd9OIaobVVxBYhpCe0rhDqN4jFTSxVxxAaAoHWjhMp7idUHkJzrC33606POZaDYzmggG6FiMfShOIJQr0JtN4wei4cTI8FBDygBH8zAwLuAwvlFi9dWCFft+/8IilJtOfpr50l2Z7b8W0XwZoWYVmLsqhEKGDiOh5ey8f3XcBB6B7CcNB0Fw9YKiZYzPdTqXcTnzNU+F39Db5pvMpD3jWu24Dais57sX28FT/EBWt4fWfY9t2jUkqaskRJLlL2F2mztXK1KYRyzl4y5RypfIx4KY4ija3HCDcWcFPnufS4wvmhMc5rv0p7SzVISJ9+b4lEu0K6UyPltVGFCorAUwQeEr3jEL0uhDpbhZBEOC3M/Cp6tYi43hoTEMpoRPt0or0GkYiBKXRMRUNIgdHMEKqMEqoMo9mhbffbJoRUgRWOEIn1EIrHMXuiaLlACAUE/LwQ/C0NCPgEadour1/Jc27xzsNAVd8m27hCf+0slru59NVDUNDCrKgRlkSYFSwcT+J2PKQvgQ5C9RCGi6q5CK3r/ynVIiwu5lgpJfB9hSQ1/pH6Ev/AeJ2j8jIqPnjd+5+NjvFm7BCnI3u27R+7ji996nKNklyi7C9sW7PRFUJ9ZOQow7WHSZeypPNRzE5s2z00p4niTDK3r8zZQ71cSO2jpDyy7UxU1hhy5ok1G6TsJhagKGq37aWquAK0tkNsNyEkJUq7jllcQ6uXN4SQYipEsgaRnE6kR8cydUyhYSoaqmdg1noJVYaxqgOo3qZwu1EIKbqKFY0Si8YJxWLomQh6bxgtFwomxwICfs4I/sYGBHwCeL7k9FyZd6YLdJw7yxyynDJ99fUWme9s7BRbVcMsEWJFhOi44HU8utZAB1QPRXdRdA+huYj1EKB6y2RpJcNyIUnbNohT57fUV/lV602e43x3Mmy9+zVl9fJm/BDHoweoapGdr0W6VOUKJX+RilzcFqiooJFggAH7EEOlg6SLKeKVGEJu+VUjfTR7geVUkUuHTc4Nj7NifHHbY2jSYcSfIWsXCLUcYq6HJlQQKr6q4iHxhERru7sKIaREbVTQK8VNISTATOpEe7pCyEyoGIq2URHS7QhWdZBQZQizkUPIzTaeFBLHdHAtF8d00MMWoWiSZDSGFY2gZUJoPWG0nlDgEQoI+DkmEEUBAR8zM/kGr1xeo9i4g1aZlCTbc/TVzhFtz1PQwpzXUywSYhUL25N4HX9DBAnNQ5geiuZ2//8tSYhtW2O5kGSpkKTeChGjydeVd/hV4y0+r5xBZ1NEzJo9vBs7wHvRfawaqR1Py5ZtKnKZsr9IVS5vWbEBGia9zn7Gao/RWxkhWYxjbGsxQV1vUAgXmO/3uTzRy0L0kY0WHHRN1GPMMOTOEWvXUVoGChaKUJFCxVcVHCTgYbRcIjV7FyHko9ar6NUiWr2C8D2EqRIZ0Ij26ER6NFRDQRcqhtAx0Qm1erBqfViVIYx2cttr9lRvoyLkW2DFokQjaaxoDD0eQsuu/0lZwdRYQMCnhEAUBQR8TJQaNq9eWbujqTLV75BqXEZvzVDG521CrJn7t4sgYXeFj7UuglSPG6NsHFdhpZRgqZCkXIsQoc0Lykl+RX+bL6rvY7I57j9nZjke3c/x2H6Wje0BplJK6rJERS5T8ZdosT3wNOJm2Fs/ylDlINlSjlBrs6LkKrCQgny0ykIGrg5lqESGge2J8INyjn3+RbJ2Ab0NDacXRegg0viq3KgGCc/DrDuEqjahmo3qbjF03yCEkB5G0iC2VyfWG8aIqwjRFUKm0Ai7CcK1AcxaH1atD8XfMjqPxNM9HMvBNV20mIUVixOLRDHDYbSUtSGElIge5AgFBHwKCURRQMBHTNvxOD5T5NS1Mt5NsnoAfCSOU0K0Zmi0S1xAx3FjeG5XBAm1g9BclLDXFUPK7m0311NYK8dYKSbIV2IkZIMXlJN8TT/OF9QPsLa0txaNNO9G93M8doBFM7P9PtKlIleo+EtU5RIumwuRVV9jrP44o5VH6auMEqvFEetBhU1DcGlAYyXRYiEtmO1N4egasCm0VOkwwST7uESfu4TZcai0B2j4PXhiBFeAVOVmNajpEqk7WDUbo+VuM3TjeWiNKlq9jFYro4QUImmF6F6LSLZbDRKIrhDyLeLNAcLVAcx6H3pn+ziuL3xc08U1XWRMwYpHiEUymJEIWthES68LoYyF0IO2WEDAp51AFAUEfETYrs/puTLvzRZ39Q1JJE2gJB2cxgLtzhp+p4Xndj1BQmt1RZDp7WiF3YjjKqyV46yUEhQqUfplkW+ob/M17ThPqxe3pUcv60nejR3geGw/80Z2Y4O8lNCiRsVfpiIXqcs8141FQir01SeYqD7JQGUf6WoPiuxuMsvHFCYndJYSDnNZjdX09ZTrTQN1TFbYxyX2c5G98gohu81qZ4RlZw8l+QhCKHhIfFXiSg/N8QnVu5Ugs+5srNe4jrDbaPUKWr2C4rWwMjqJUYhmo+jhrjhTUDB9k3izn2hjALOew2imN8Tb9Z+Bp3fbYn4Y9JSFFc1gRaJoIQMtaaGmLbS0hRINqkEBAb9oBKIoIOBD4no+ZxYqvDtdpGlv3zzvI6kiKbgdqu0ifjuP1iqD350GE5qLYu3eCrsR21HXhVCcYjXCXpb4R8pLfE0/zqPK9Laz18weTkb2cDK2j7kNISSwZYeqv0rVX6EmlzemxYQUZJoDjFQfZqR6mJ7KAJpn4KiwmNa4eFBjIS2Zz+g0Q8aO5zYg59jPRfavC6GUX2SpM8aivYeLzpfxhdUVJELiC4nwHMyGg1XtEKraqDdqSM9Fa1RRG1UUu4mRECSygvgBBSMW2VgEa/oGscYAscYAoUbvDhEE3YWrjungh0BLm5ixJLFIBM000RJmVwRlLNS4GSxcDQj4BScQRQEB94jvS84vVXl7qrBtNYeLpChdiu0aJaeFaBfROxV0pYmmuYjwuiC6g8/ftq1tCKF61eJp5SK/pbzM8/opJpTlzecCXAkNcjK6l1ORPawZSQA86VOX+XUhtESLMtCtBPXUh+iv7WOkephcdRjdM6lZgrmsxpkRnfmMwlJKw1e3iwxd2owzySHOs4+L7OMyUeqUnAxLzjgX7S9QcgfxhYIvJL4i8X0Xs+USq7QIVTqoLturMNJHbTZQG1WE00CLQTytkN7jY8Y294DpnkGiOUC0MUC40XdTEeQaLjIESsrATMSJRCJohokaN9BS69WgpInQtl8bEBDwi00gigIC7hLPl1xeqfHOVIFSs+vXcZEU7Rb5dpWS2wa7jkmFiFJDUW1E/NbtsOtICdVGiLVKjLVyjFCzw/Pqab6snOZz5hmior1x1hEq58IjnIzu5XRkDzUtjC8FLapUvatU5TJ1uYrER/FVcvVRDlaPMlw9SK42giINVhMq81mNdw9ozGdUytGdvxLiboUJcZWHxAccEBcYZQYND8fXWHFGuGQ/w4qzh6aM4kNXCAkfvW0TLTQI1TqorkBsTJsJEKB0WusiqIUa8YmmFXomXKyIskUEhYg3+ok1B28vgiICLWVhJONEwxE0w0CNG6hJEzVloSVMhB6IoICAgJsTiKKAgDuk7XicXahweq5Mre3i+h7FVoV8p07J64BsYCo1YkodNdS+IxEEXaN0oRJlrRKjWI5w2LvGP1Bf4XnlNI9YM9vOltUIH0TG+CAywbnIKE1h0qFJXa5Rc1epymVc2mieTq4+xoHq4wxU99NbG8VVNRYyGleGdF7OaiykVTrGdpEgpE+fvcyEcoVH1NMcFBfIqmsbRueqm2TaeYxlew9r7gCu0PCR+L6PWW+SKNQxGw6qVLes61C7Osh1UBtV8NqoIY9IWtAz5hINr/fOpIdlp4hXe4k0ewm1chit5O4iyPQQMRUtZWEmIsTCYVRT77bDkut/4mYwKh8QEHBXBKIoIOA2VFoOp66VOLdYpdbpUGqWKLaqVGiB2kZXG8S0Bio2gjsTQs22sVEN0ms2z4kL/DP1A76kvk9Gq22c84Fpq48PIuO8H5lgxuilI1rUZJ6af4aaXMGhieGG6K2Nsrf2IgOVvfTUR6iFdeZ6NN7fq3UN0QkVeYNnxnLbDNvXmNCu8Jh2in3iImFjM5W65UW45hxizR1lxRmmIWN4gHAcIoUq8Uobo+MjhLZFBOnd/R+ei9pqIIWDGvKIpn16Jhxiere6pnoGkVY/sbU+wq0coWYPqmdxI77q44ckIq6hpUOEk1F000QN66hbRFAwJh8QEPBhCURRQMBNWKq0ODFT4vRSkUKjRMmu0hQ1VLWNFmoREW1U6WxbJHozXE+hVItQqEbpVBQetaf5HeVtPqucZb+5sO1sUzE4Gx7rCqHwOHlNoSbXqPnz1LwTOLJJot1DX22ch2tP01cbI9bpYzWpM5/VeH1UZz6jUQvvbBVlWnnG/Bn2Ghd5VD3JiDqHEtp8/h3fYsHZy5o7woozQsVP4fkSq9QgUmqQa5ZRfQW062ZrjeuFHOHaiE4LqXloEUki55KNdogIB8XXCLUyRCo5ou0coVYPhr1zW7VE4hs+RFTUhIGeCmEmoyjmugCKGxv/N0iODggI+KgJRFFAwBZs1+fiSpVXZ9a4uLxIxSviiDqq2kYNdYhIB0W6KNLjVkUhX0KtEaJQjVKtmOxpLvCC8i6fVc7yqJhCMzaFiA/Mmr1cCA9zOjLG+1aMqizRkHnq8mVkx6WnMcJIbQ99tRfI1cepRhIspTWmh1XeSHerQP4NrSLV9xhqzTEuJjlknuUh5Qwpa3sIY91LUHAGybtDrLkDVLwkar1NpFDDqjfodxugGKAogAqKuimC7A74NhgeZtwjlXLJGm1M38fqpAm3+oks5oi0ejA7O9tgAL7mIUMKSkxDS4Uw0zG0sIEa3RQ/atxAhLSgChQQEPCxE4iigF94fF8yW2zys7k8J+emKTprSKqoageh+ljSRZUOiufd9B5SQq1pUapFKVct+utFPsN5Pqec5ahyiZCxfcXHkp7iQniEU+FB3gtFyYsaDZmnIU8Qakbpq40zUnuKXG0cRRllOW2wlNG4sE9lOanhajsFQtSuMebMsFe/xEPa++wVVzHCm4/rS4Wi20vRHWDNHWTNGcCpCkLFKlbdJuLUiIg2aDpd5WNt/obwXITbQWo+WtgnmupWgeJeh3AnRaidI5zvIdLOYbXTKHJnFcdXXWRIoEZN1ISFmYmixUzUqIESN1BjXQGkhPVgND4gIOC+EIiigF9YVmptXr5W5N35GVbbS0i/hKp0UFWJIl1U30WR7q7X+hJqzRClaoR61WC4ucpT8gJHlYscUS4T15vbzpeVCOciQ7wZGeBEKMqK0qDu53G9y2QrQ+TqIyQ6z6CKfVSiSVaTKsdHuxWg3QRQyG4y2rrGiDbDXvMC+9VLZPU1xJZF9k0vyqo7RsHtJ2/3Ui+FMAstzHoHzZaklSLSsEBogAbXr5US4XRAcVEtn1DCJZ2wyXqSWDtFqJ0hVMoQXsrcvAKkusiQhxIx0RNR9EwUIxVCiRmoUR01ZqDEDJSQFgiggICAB4ZAFAX8QlFpO7w8V+StxRnma4sIr4hCG1X6KLgo3npr7AYcV6HaCFOuh/FqkonmEp8XJ3laucjjYhJTc7adbwiDN6ODvBrJctYKsaK0aHkVEq022dU+Bv2nEco49UiG1YzGuxO7e4AADMdmpH6NETHLuHWFg+Y5+vQlFH2zf+dJlYI7SNHtp9DOUc+HkHmB2bBRXbAUD8NwQTFBNSG0pfvnOQgcVMMlHHXJxm36vBDhTpJQJ02okiG0kkF3w7s+P1918EMOSlRHTySwMkm0XAgtZqBEuyJIiQUeoICAgAefQBQFfKqRUrJS6/D2SoV3V+aZrc0j3AKK30KTLqp0UXwPsWUthpTQ7BhU6mFqNZNsvcxB5xq/LK7yhHKVvcriZlVlnWktwrF4LydCMa7qggJNLLuXiPcIemsvCXUQLZRkbVDnclTBv0l1JFcuMNyco0+dZzA8y0T4MoPaIkpyu5m77iUpOn2Uayka+RjtfAi1LVF9BamZWPq6EdoIIY0tAsj3EdjohkMs4jJoaeS8GFY7h9VJESqlMVZiu1Z/JBLfbCEjLiKqYSYSWLle9J5w1wMUNVCietD+CggI+LklEEUBnzocz2e20OC91Srv5YsstxfBW0V1K+jrLTFFeggkUkLb1qk2olQbFpFGi7HWEk8yyxPiKo8qk0REZ5sIKigKb4bSvP3/b+9eYtvKEjOP/y8v74PvS+phu2w5KbqnE3SCGYCSMEB2QeSZxWA2M1J7NztLwPTegle9FKR1NlKtsnSJmM0sRWAWg2xiW0FPgnSqq81yt6vkh2yKpMQ3ee8saDGS5Ydky6Zkfz+AKPE+j1BH5sdzzyPm8c9OhEdWGoNrhI2fgXmZlj1CJRaj4b65ZSTSbHP1+WOuNB9yyX7EV/E/8nXidyRTu5B65ffxLV40L1KppNl7kaC5naDXdMG08O0IhEL9P2QHDkYno9fGDHWI2D3GHIsL4QjpbppIO0OkmcbZS702/AD44TZ+tAHRgHDKwR7NELl0EcuL91t+YhahaBjD1GSIIvL5UCiSz0Kl3qH4fI/fbO/ym/Ie273nBO0t7N42dq/9crSYT6sTZqcWYbfmkKjV+ZPGE6aCP/IXxg/8ZeghaWNv8FfRBR5aFv/kpPi/8cv8v9hVntqXwcgSmFfo2KPsRmNvbPUBSO21uVTa4UrlEReDh4xEf2I8tcWl1COcy60jx/d8k2o9zV4lQf1FklopSbPu4TtRgv3WHxOIHTjJ72EGbWJmQCZsccGKMRqkibczuO0U1m4Mdo/cqn+q2emHn1gPM2VjjyRwLo7gjI4TTriEopb6/YjIF0OhSM6dIAioNDpslZs8rjT4fqfGd7UWZb+E3/4j4d42VqdFrW6z03Bp11zGGztMtJ7z74If+cvQQ35hPCRpNMDst648Dpv8xrL5h/jPuZv4OcXoVXbNq/jhCdr2KG376KSC+6xuwEi1w8WdKlcqPzLR/D0X7CIj3h+IjO3hXK4Tmjg6l5HvG+ztJamV++GnVvGotcfoWbGXQ+DpDwKL/9s5pt8lZkDaDDNqxhkL0mQ6o7idFKHOm1umfKtNEGljxAPMtIs1Gse5MIIzPko47hKKhtXnR0S+eApFcuZ1ej7Pdls8LjfYqjT5w06dp+0mjV6VvW6Vam2H2l6NRi0gU69yufmMP+094c+MH/m58Yg/MZ4RMgJ8sx9+vrdsvolfZjP2M76Pfc2O/TXd8ARtZ4yeab2xHMlaj5FdnwuVChO1P3C18x2XrO/xvB8JjTSw/rRFKPT6iRy73TD1apx6NUG9lqZaH2evOU5wcOi6ATj9H0NBQJwQnuEySpwxP8N4ZwwncN5YvsDo4e8HH8/GSkexxj3cr8awMrF+i48V0nw/IiJvoFAkZ85us8PjSpOtcoPHlSZPK3uUas95ulfjWb1Nu15ltP6EsfZz/qy7zTXjMT83HnHN2MIyepTNEH9ww/zOjvNNfILvov+Rh5GrVK2v8c3LNN0xeubrq77ZCxjZ7TFW7TFer3C19QNXu7/lsv0dbuYZRrpG+ELntecC9HohmnsxGvUEtXqGvcYotVqaVisGHA0jVmAQxyIZREn7CUb9NJkgTiJwMV5zfGD4BG4XI0Z/xfeRKPZ4CudiButCDDNqaeV3EZH3pFAkQ9Pt+ezUO7yotSjttXlcbfL91g5Pn29T3tvBqj0m2XrCeGebXwRP+C+hJ3xtPGHMKPPcDPGTE+ZRzOJfohf4X9Gf8UPkr3luZ/FDV2nb49QjiTfeez/8jFfbXGztcLVV5Gv/X7gU+Q4rXSL0VY2Q+eblO9pNh8ZegnojRb2Vpt5I0agnXxt+wkGIdODgBVE8P0EqiJEKoiSDCM6rw9iAwOoQRNuEEiam5xDOxLHH0riXPMJjUUKOHnOJiHwMCkXy0fX8gHK9zeNKk++eVCk+r/HTdole6Y9E6z8RbT0j1XvBqF/ir4xnfB16TDy0w5YV4odIhN+OXOL/RC7yd+5/YNv6zzS5TGBeoGWnqbtxfPMto7xaPiN7XcYaNS60XzDR+YGrxm+5GP0dtlciPHG0s/M+vxeiUY9Tb3g0mknq9X7waTSS9Hr2oWOtwCQZRLgcxEgFEZJ+9GXwieK+EnwCw4doFyMREEoFhNMR7NEE9sURnEspzNjha4uIyKehUCSnpt7q8q9PdvnuaZWHT3aoPfuBUPkh0cYWXucZo0GJr9jmF+ZzQuEqTyyb76Oj/JAZ4x+dUZ7al3lh5mgZl+mEx2m6Hg039s77hvyATK3DWHOPC+0XXO7+wFfG77ls/x4v8QQr8+bgA9Buu/3A00hSgsc/ZAAADipJREFUrydpvPy52YwxWOgrgBgO8cDlYhAhHrgkD4QfFwujP8gf3C5EA4yEgZm0CHsRrEwCezyFPephJhyN5hIROYMUiuStgiCg2ujybLfJVqXBj9tVyts/0dzZorf7lHD9GZH2CxLdEqlgh3i4xKVwBSvq8MAd49HIGP9sjfIifJUGU7TMMdpWmoaTpOlGjlUGq+fjtRpk2lUyvRIj/lNGgy3GwltcsH9i1H2MFe8dGqX1qm7XotmM02wkqDf6rT2Ner/1p9ezsQKTWOAQC1zGAudlAIqQCFziQYRY4BAyDIj0MKJgREOYKYuw5xIeiWONJrEzScIpV3P3iIicUwpFX6hOz6dUa/Os2mJ7t075+RP2nm/R2NnC331GuPEMt7WN6T/HMiuY4T2CcI2GHWHbHWXLGqWUGGU3OU7d/AUNa5Sm3Q87dTdKEDpeMDD9HqnuHqleFc/fIc0LRkNPuGA+5oL1mFG2iYd2MSLAWzKU7xu0WnGazRjNZoJmI94PQc0EfiON20kQC1xigcvoy9ATfRmCoiEbJxomFAsRiocJJex+2PFiWF6ccMrVOl0iIl8AhaJzLAgCdltdKvUOlUaHSq3JXnWH5u4L2nslurUS3VqZoFEmaJbodncI/AqBv4sRqmOYdXyzTttoU/ZjvOACu1xhz7xEPXaFpvfvabgedTfBXjTGbtSl95b+OwcZgU8qqJCmRNookeEFHiXS7PS3vfxv3NjtL2L6hpHwvm/Q7kRptyO02y7tdoROO0K7HaHbjmK0k4RbKazmCDG/36IzEjjELZe44xKPxbA9FzPhYCZczLhDOOn0FyZ9uSq74Zgapi4iIgpFZ0Gz0+uHmkaHyl6dWuUFjep+sNmhVy/RbDyn1XlBp1um16vSC2r41AkFLYxeB6Pbwe9atLpJ6ozQNDK0Qh5tM0nbjNMJZ+m4UTq2S8t1aDk2e65LNRKl4kZov2V+nlclgsqBcNMPON7LnzOU8CiRokrIODx6y/dDdLt2/9Vx6HSTbHdHB9v8jgudGKF2ErOVJNzycDpJXMMmEbaJuVFisSixRJz4eBI3FSMUszBj/fW2+utuhQlFLAxTIUdERE7mTIWiYrFIPp8nm81SLBaZn5/H87wTH/u++4bhm7/9n9Qe/QOhjo3RtQj8GHXDo2WmaIVTdJwobdel416k5VylmbBpOhYNx6Zh2zQsm0bYphF2aYRcOqHjh5tXRYPakdYc72XQSVPCY4ekX8HomHS7Np39gDN4OXS7GZ51L7LVsaEbwezECHdiWJ04ThDFDdlEbIekEyUWixOPJYjGosTicZy4SygS7q+r9fJlxsIYloagi4jIx3emQtHc3Bz3798H+uHl5s2brK+vn/jY9903DP8Uucbf/81/pR5yqYcitIw3LydxXEbgE6FOjBpRakRf/hxjjwh1In4D128R7dVJdPaId+rEOk3MDi9bcfohJ+hGMDoRjM4ERu/P2e1FaRLBNsM4YQfHtkm6EdxIhEg0gpNy+wEnFSeeSmDth5yIiWHrEZWIiJxtZyYUFYvFQ++z2SyFQuHEx77vvmFpJUx+si4d2e4GDaLUBsEmEjSI+A0ifhPXb+L02ri9Fk63jdvt4na7OB0ftx3gdMDs2dBzCQUuhu9iBhFCRLFCo1iWhW3ZOK5LJBYjGo/hjkZwYy6RWBQnHiWSiBByw/0wo87FIiLyBTgzoahQKJDJZA5ty2QybG5uksvljn3svXv33mvfq/f4VP5TOMPET/+baM8g4RvE/TBxbFwzTthK4Ngp3MgIbjyGm3CxXRc74mBHbOyogx1xMR2NihIREflQZyYUlcvl124vlUonOvZ9972q1WrRav3bpH/VavW1536o//7f/sdHua6IiIiczJmfZe5NQeakx55039LSEqlUavCamJg4djlERETk/DkzocjzvCMtNqVS6bUjw9527Pvue9Xt27epVCqD16NHj97vFxMREZFz4cyEopmZmddun5qaOtGx77vvVY7jkEwmD71ERETk83Vm+hRls9lD74vFIlNTU4NWnM3NTTzPI5vNvvXYV1t9jrtPREREvmxnJhQBrK+vs7i4yPT0NHfv3j00f9DS0hLT09PcunXrnce+7z4RERH5chlBEATDLsR5UK1WSaVSVCoVPUoTERE5J07y+X1m+hSJiIiIDJNCkYiIiAgKRSIiIiKAQpGIiIgIoFAkIiIiAigUiYiIiAAKRSIiIiKAQpGIiIgIcMZmtD7L9ue4rFarQy6JiIiIHNf+5/Zx5qpWKDqm3d1dACYmJoZcEhERETmp3d1dUqnUW4/RMh/H5Ps+W1tbJBIJDMM41jn766t9Sh/jnh96zfc9/yTnHffYdx33tv3VapWJiQkePXp07pd6Ud38sGuobn48w6ibH+O+qpt9Z6FuBkHA7u4uX331FaHQ23sNqaXomEKhEFeuXDnROaZpfvJK8DHu+aHXfN/zT3LecY9913HHuU4ymTz3Hzyqmx92DdXNj2cYdfNj3Fd187Bh1813tRDtU0frj+hXv/rVZ3HPD73m+55/kvOOe+y7jhvG/7NhUN38sGuobn48w/o9T/u+qpvnkx6fiRzTSVZaFvmUVDflrDpvdVMtRSLH5DgOv/71r3EcZ9hFETlEdVPOqvNWN9VSJCIiIoI6Woucunw+D8Ddu3e5fv06MzMzQy6RSF+5XGZpaYkbN26Qy+WGXRz5Qq2trZHNZtnc3GR2dpZsNjvsIg3o8ZnIKSoUChSLRWZnZ1lYWGBxcXHYRRIZuHfvHuVyedjFkC9YsVjkwYMHzMzMcOvWrTP3b6RCkXyxNjc3mZycPLK9WCyysrJCPp9nZWXlRB8i+3/o+9eZmpo6reLKF+Rj1E3o10/P806nkCKcvK4WCgWuXbt26LizRI/P5IuUz+cHzbevmpub4/79+0D/D/bmzZusr6+f+B6rq6ssLy9/cFnly/Ip6qbIaXifuloulw8F87PWcqlQJF+k2dnZ125/9VtLNpulUCgM3ufz+dd+s3n1ufjKygq3b98+U8/K5Xz42HVT5LS8T131PO/MBaGDFIpEDigUCmQymUPbMpkMm5ub5HK5N/4j8Oo1ZmZmyOVy5PP5Y50j8i6nUTdFPoW31dWpqSnu3Lkz2H7WOvwrFIkc8KZvMKVS6VjnF4tF5ubmyGazlMtlZmZm9GElp+JD6yb0P6wOPuo4ax9I8nl4W12dmZnh3r17g0Ep33zzzact3DsoFIkcw3Gbe7PZLDs7Ox+3MCIHnHQggKaIkGHZr6vz8/PDLchbaPSZyAGe5x355l0qlTRiR4ZOdVPOi/NcVxWKRA5407doDa2XYVPdlPPiPNdVhSL54h18/PDqKJ39uYbOwzcc+fyobsp58bnUVfUpki9SoVBgY2MDgKWlJaanpwcdotfX11lcXGR6epq7d+9qHhj5pFQ35bz4HOuqFoQVERERQY/PRERERACFIhERERFAoUhEREQEUCgSERERARSKRERERACFIhERERFAoUhE5JDNzU0WFxcpFAqf7J5ra2ssLi6eaB0zETl9CkUiMjSFQoFr166xsrLC2toak5OTTE5ODkLCtWvXBqu6T05Oks/nP3qZisUiCwsLr12qYG1tjXQ6fWil+dMwPz/P9PT0iVa8F5HTpxmtRWRoyuUyGxsbg2UBNjY2yGQyg1W0b9y4QbFYJJfLsby8PPS1k+bn58/NzLwicnJqKRKRoSmVSkfWSTool8sNWk9mZmbOxdpJInJ+KRSJyND88pe/PJVjREROgx6ficjQHKflx/M8Njc3uXnzJgsLC8zPz1MoFFhcXGRhYYFsNkuxWGRjY4Pl5WXK5TKFQoEHDx6wuro6uE6hUGBzc5NsNsvdu3dZXl4+Vhk3Nze5c+cO09PTAEf6/eTzeTzPo1gs8uDBA5aXl8nn8ywuLpLL5VhfX6dcLjM5Ocns7Cy3b9/m22+/JZvNUi6XT1QWEfm4FIpE5MzL5XLcuHFj8H5mZoaZmRk2NjYGfXzW19fJ5/PcunWLXC7HtWvXKJfLg8CyuLjI/fv3gX6wWVlZ4datW2+9b7lcZm5ujgcPHgy2LS0tHTpmf//MzAwLCwvk83lmZ2cplUqD+3mex+LiIvPz86ysrJDL5QYdudW5WuTsUCgSkXNpZGSEkZGRwXvP8w71T/I8j1KphOd5rK6ukslkDg2zv3v37jvv8e2335LL5Q5ty2Qyh97v7OwMglepVKJYLAL9TtnpdJrV1VWKxeKgk/js7CyTk5Nks1lu3Lgx6FQuIsOnUCQin423PY472DoDnFoYWVpaYmRkhNnZ2SOdxufn51lbWyOTyTA7Owv0Q9XOzs7gsdzc3BwbGxunUhYR+TDqaC0i58a7Jjd80/4bN24cmYzxOJMzzszMHJmTaL8laP8am5ub3Lp1a9BH6OC1FxYWjvQXWlpaOjTNgEbUiZwdaikSkaErFAoUi8VBAFlbW2Nqamrw6Gq/VWW/xaVcLnPnzh2gH1wOnpvL5QbXW15eZnl5eRBAFhcXBx2mXzc546uy2Szr6+ssLi5y/fr1QR+lpaWlwbxJnucNQtDc3Byrq6uDFqNsNksulxu0EkH/sV+hUCCTyVAqlQ71lRKR4TKCIAiGXQgRkbMin8+Ty+XeOn/SSa93MBR9qvuKyMmppUhE5JQtLCwwNzdHJpM50lFbRM4uhSIRkVM2Nzc36F+kUCRyfigUiYgckM1mWV1d5fr168fqd/Q6Jz1vbW1tMNeRiAyP+hSJiIiIoCH5IiIiIoBCkYiIiAigUCQiIiICKBSJiIiIAApFIiIiIoBCkYiIiAigUCQiIiICKBSJiIiIAApFIiIiIgD8fzoJwH/VfJDQAAAAAElFTkSuQmCC", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "time_min = 2e-3 # days\n", "\n", "fig = plt.figure()\n", "ax = fig.subplots()\n", "\n", "for T in energy_array:\n", " i_max = min(arr.size for arr in time_energy[T])\n", " time = time_energy[T][0][:i_max]\n", " energy = np.array([arr[:i_max] for arr in adiabatic_losses[T]])\n", " # limit arrays from below by time\n", " energy = energy[:, time > time_min]\n", " time = time[time > time_min]\n", " # calculate median vaalues and quantiles\n", " med = np.median(energy, axis=0)\n", " low = np.quantile(energy, q=0.15, axis=0)\n", " high = np.quantile(energy, q=0.85, axis=0)\n", " # plot values\n", " ax.plot(time, (T - med) / T, label=f\"T = {int(T)} MeV\")\n", " ax.fill_between(time, y1=(T - low) / T, y2=(T - high) / T, alpha=0.5)\n", "ax.set_xscale('log')\n", "ax.set_xlabel('Time [days]')\n", "ax.set_ylabel(r\"$-\\frac{\\Delta T}{T_0}$\")\n", "ax.legend()\n", "\n", "plt.show()" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3.12 (GTsimulation)", "language": "python", "name": "gtsimkernel" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.12.3" } }, "nbformat": 4, "nbformat_minor": 5 }