{ "cells": [ { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Catch that asteroid with poliastro!\n", "\n", "![poliastro](img/logo_text.svg)\n", "\n", "### Juan Luis Cano - 2018-05-01 PyAstro18 @ Simons Foundation, NYC" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Who am I?\n", "\n", "\"Me!\"\n", "\n", "* **Aerospace Engineer** with a passion for orbits 🛰\n", "* Chair of the **Python España** non profit and co-organizer of **PyCon Spain** 🐍\n", " - Come to Málaga! https://2018.es.pycon.org/\n", "* **Software Developer** at **Satellogic** 🌍\n", "* Free Software advocate and Python enthusiast 🕮\n", "* Hard Rock lover 🎸\n", "\n", "Follow me! https://github.com/Juanlu001/\n", "\n", "
" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Introduction to poliastro\n", "\n", "\"poliastro\"\n", "\n", "> poliastro is a collection of Python functions useful in Astrodynamics and Orbital Mechanics, focusing on interplanetary applications. \n", "\n", "* **Pure Python**, accelerated with **numba**\n", "* **MIT license** (permissive)\n", "* Physical units, astronomical scales and more, thanks to Astropy\n", "* Conversion between several orbit representations\n", "* Analytical and numerical propagation\n", "* Cool documentation 🚀 http://docs.poliastro.space/\n", "* Latest version 0.9.0 released a week ago http://docs.poliastro.space/en/v0.9.0/changelog.html#poliastro-0-9-0-2018-04-25\n", "\n", "
" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "## Brief history\n", "\n", "* _2013_: First version: Octave + FORTRAN + Python\n", "* _2014_: Refactor of the API, much friendlier\n", "* _2015_: Replace FORTRAN algorithms by Python + numba 🚀\n", "* _2016_: Izzo algorithm (Lambert's problem), 6th ICATT @ ESA\n", "* _2017_: Summer of Code in Space (SOCIS), OpenAstronomy & Astropy membership, 1st OSCW @ ESOC\n", "* _2018_: Google Summer of Code (GSOC), #PyAstro18 @ Simons Fndn, expansion into the industry" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "## ~~Why another...~~ How does it compare to...?\n", "\n", "* **Orekit**: not restricted to Earth orbits, more general\n", "* **NASA SPICE**: more lightweight, focused on interactive use, not backed by NASA 😁" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "text/html": [ "" ], "text/vnd.plotly.v1+html": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import matplotlib.pyplot as plt\n", "plt.ion()\n", "\n", "from plotly.offline import init_notebook_mode\n", "init_notebook_mode(connected=False)\n", "\n", "from astropy import units as u\n", "from astropy.time import Time" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [], "source": [ "from poliastro.bodies import Earth\n", "from poliastro.twobody import Orbit" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "text/plain": [ "7283 x 10293 km x 153.2 deg orbit around Earth (♁)" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "r = [-6045, -3490, 2500] * u.km\n", "v = [-3.457, 6.618, 2.533] * u.km / u.s\n", "\n", "ss = Orbit.from_vectors(Earth, r, v, Time.now())\n", "ss" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from poliastro.plotting import plot, plot3d\n", "plot(ss, label=\"Sample orbit\");" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "plot3d(ss, label=\"Sample orbit\");" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "## External data\n", "\n", "* Planetary ephemerides\n", " - SPICE kernels\n", "* Near Earth Objects (NEOs)\n", " - NeoWs https://api.nasa.gov/neo/?api_key=DEMO_KEY\n", " - DASTCOM5 database ftp://ssd.jpl.nasa.gov/pub/ssd/README.txt" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from astropy.coordinates import solar_system_ephemeris\n", "solar_system_ephemeris.set(\"jpl\")" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "text/plain": [ "1 x 1 AU x 23.4 deg orbit around Sun (☉)" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Orbit.from_body_ephem(Earth)" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "text/plain": [ "1 x 3 AU x 22.1 deg orbit around Sun (☉)" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from poliastro.neos import neows\n", "\n", "florence = neows.orbit_from_name(\"Florence\")\n", "florence" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "text/plain": [ "1 x 35 AU x 162.3 deg orbit around Sun (☉)" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from poliastro.neos import dastcom5\n", "\n", "halley_1835 = dastcom5.orbit_from_name('1P')[30]\n", "halley_1835" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "slideshow": { "slide_type": "skip" } }, "outputs": [], "source": [ "from poliastro.plotting import OrbitPlotter\n", "from poliastro.bodies import Mercury, Venus, Earth, Mars" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "text/plain": [ "(-300000000.0, 300000000.0)" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "frame = OrbitPlotter()\n", "\n", "# Florence close approach\n", "frame.plot(Orbit.from_body_ephem(Earth, epoch=Time(\"2017-09-01 12:05:50\", scale=\"tdb\")), label=Earth)\n", "\n", "for planet in Mercury, Venus, Mars:\n", " frame.plot(Orbit.from_body_ephem(planet), label=planet)\n", "\n", "frame.plot(halley_1835, label='Halley', color='#666666')\n", "frame.plot(florence, label='Florence', color='#000000')\n", "\n", "plt.title(\"Inner solar system + Florence + Halley\")\n", "plt.xlim(-.3e9, .3e9)\n", "plt.ylim(-.3e9, .3e9)" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "text/plain": [ "[,\n", " ]" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "halleys = dastcom5.orbit_from_name('1P')\n", "\n", "frame = OrbitPlotter(num_points=200)\n", "frame.plot(halleys[0], label='Halley')\n", "frame.plot(halleys[5], label='Halley')\n", "frame.plot(halleys[10], label='Halley')\n", "frame.plot(halleys[20], label='Halley')\n", "frame.plot(halleys[30], label='Halley')" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "## Core algorithms\n", "\n", "* Analytical propagation, aka Kepler's problem (_Battin universal variables approach_, _mean anomaly evolution_)\n", "* Numerical propagation (_Cowell's method_)\n", "* Boundary-value problem, aka Lambert's problem (_Izzo algorithm with multiple revolution_)\n", "* Orbital maneuvers (_Hohmann's transfer, bielliptic transfer_)" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [], "source": [ "from poliastro.twobody.propagation import propagate, cowell\n", "from poliastro.util import norm, time_range\n", "\n", "from numba import njit\n", "\n", "@njit\n", "def accel(t0, state, k):\n", " \"\"\"Constant acceleration aligned with the velocity. \"\"\"\n", " v_vec = state[3:]\n", " norm_v = (v_vec * v_vec).sum() ** .5\n", " return 1e-5 * v_vec / norm_v\n", "\n", "def custom_propagator(orbit, tof, rtol, accel=accel):\n", " # Workaround for https://github.com/poliastro/poliastro/issues/328\n", " if tof == 0:\n", " return orbit.r.to(u.km).value, orbit.v.to(u.km / u.s).value\n", " else:\n", " # Use our custom perturbation acceleration\n", " return cowell(orbit, tof, rtol, ad=accel)" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "image/png": 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5t+UbTx8IHWpurd8jq1uPeS76m5qaIn/vwsp9ds6zRSuus0X8pLnJBIDLFwEEuMpVYpecNLfiXbduXeTPiTJQHvfsh5LE96irq8v69rHzFwJDx+6BM3Kw733ZsGGDDA0NRbpfFTRebD8hDXuPRwoa6owQFTT080GSOC1exB7Kbdv5qlDjVX3wCiNxVeWC7Os9Jj9fbf9e7z6czEYQnDsCIAwCCHCVS/NgQCXN05nDvtqsXrlVA+VhJbVjUhLfI3PBPnb+gtRuG/ANHbZKx9DQkDQ1Ncn27ds9W4n6T0xWNUoJGuq086BX6pMKIH6367edr18rlN4O9djz6QQQ9fi8HteqPf2J3CfnjgAIQgABrnKVesUyrcpL0BC6arEaHR0tqXc9qWpOkgHEK3j4hQ6biYkJ2b59uzQ1NcnQ0JBzu16VlFKDhpcwLWWlCDsr47edb9gwkuRshm2765HMWdfPZ8mOw4nfJwCYCCAAKrJoSGv2pKenp2jHITVQHseZHUkFkEKhEPvtbmtulVV7+osCQu22gZJmOkQmw8zugTPyj49uty60a7cNOEHjP3LjZX8Nagvd/hOn5a8tnc5ch+0qVSm7deVyOenr67O25OnneNgqQkmFEa+vY+z8BZm76h3XbEhccyFs+wsgDAIIgMRaWfx4zSPETT+MMJvNSnd3d1knlJuSbCeLs0q0+cAH8vWl+4oqHqUGj90DZ+Se9V2e7Vu//vMqGfvfn7k+J+rXow+oR9kJK0y7l75Tlnn98Lm35Z71XbLl0OnIp7YXCgXfQw4vXirI4vW7fMNI7dY+GRj5tOxQ4BcGLl4qyMOv9zr3O6uhreTngo6DDwGEQQABkFgri5+0qi4fffSRbN261dnJKglJ3W4cAWT3wJmiiseshjbpP3E68m2puQ5bi9WshjbX7lhme5bf16PvhhV12900LlWh6Dx6MlIoyOVy0t3d7Rpc1w/HvHipIAMjn0rt1r5EwkiYv2Or9vS7foYnc19Evh+FHbAAhEUAAZDYTk6Vuk/VYqUGypubmxO5HyWpeZZyzhixBY+vL90nuwfORLqdsfMXZHXrMc/QUbttIDDMDA0NyYYNG6Svr6+ksGHbCav/xGlpe++Eaytd89K31jWvhr3Hna129et3G7vk317xf1xqO9uw1RF9cL2np8epyOnChJEoQ+NRwsDmAx+47qfUHbLYAQtAWAQQoAoUCoWKHt6V5ra4Sd6n15kdSZ67IJJc20kpt+tV8dg9cCb07am5jnkr7TtY3bO+K1SQMcPGf33szdBhY83BTwLP90gi+OktdWp2wysUlFIdaWlpkffff1+Gh4d9d4vyOuX83i39oe4nahgYGPnUdV+l7JDFDlgAwiKAAFVAvWJfKZVonYjr1dJ8Pu+cz+B1e6WcBRJFUoO3UVrj+k+c9gweSlAA6Tx60nNb3jnLWnx3yCqlsnHjI3vl/3n4NSdsRJ1BSOI56xeMB0Y+ldWtxzx3ttKrI15D8O3t7TIxMeG7na/tfvWh8TCtUqWEgbHzF1zPoYdf7430+eyABSAsAghQJcppt4lDJRYP5byCrbdYBbVylXsaepBKnEehjGTOFlUqzOCh2J5jI5mzvnMdDXuP+wYDNRcSFDa+vnSf/HrdAVlz8BPX1ruqPcs83FCFmYa9xz3bqOp3HfF8X9jLrFyEXbirbXbvWd/lWR25tX6Ps7uVug9bO6Dfdr76/S3ZcdhVedl84APPx1dqi6O5Q9bcVe+Enj+p9A5YzJ8Alw8CCFAlKv3LuxI7YUX9mtVCbXh4OFLLWtInTyf1s/P7mdjO8pjV0Car9vR7Bgb1yr5qsbKFjpq61sC5Dr/PV4/jnvVdrrDht1vYSOasPLpmm9z6+xcqNoA+v7FTVrcekx0dh0tqI1ItU16Pv6auVeY3dsqvl73mu0Ww33a+IpPzGnrgWbLjsDUglPOCQqk7ZFVyB6w0DzcFUD4CCFAlKjEIrqtEBSRM6FHtab29vSUvMIIOIyxXUtUr21bFAx98aK04hDnL46P/+Czw5HO/V7v9qh0qtHh9vlogjp2/IJ1HT0rD3uMyb2Vr4Enp5pa5aYSRmrpWZxveUs4TCVMdmd/Y6fvzUtv5HjlypKgqYrZKzV31TtFtxRGK9R2yaupafdu+Kr0DFvMnwOWFAAJUiUoMguviPBsjLL/Q4zVQXgrVd5+UpHbB0l9Rbj3YL99+/LWSgoeIezGpv7IddPK5X7Uj6PPVXMiag5/IPeu75Jb6jsCFv77b1cG+963tWSLxzRCFmetQrVS7Do+UtB2uV3UkqI1KsW3ne/FSQe7d4g4I+kGGcVUj9B2yZi7e77lDVqV3wGL+BLi8EECAKlENryCmvYAwqz75fN5psYrzseiHESYhqZ/b0NCQPL16fVnBwxYearcNBG4h23n0pOdBg14tWlGH0FXY2D1wxvV4Ll4quE4039PSKkufWS6vvrHLedt7Rz+Q9wc/8D0JPerp6BcvFWR9c7c07D3uW22Z39hZNNsR1iuvbpbVrcdctxd2Zyt9cF1VRcyAoHavinNBHmaHrEpXIDgAEbi8EECAKlLJOZBKBKBMJiOjo6OugfIknDp1KtEAEvfia3BwUJ5c8aL8+LG11vAQJniMZM4Wfe43nj4QONvhd+aHWe1QLVlhwsbtDXvl1+sOyJZDp12Pwdw9y2uuJK4rqJqhL2Rzn50LbKVSsx1hzwVR7YAnc1+4vtZZDW2uCkaQXC7n7P72Vvd7rtv6wYq35djHfwt9W2HYdsjSv3+VrkBU+v4BREMAAapIpXfCSjMAqRarqAPlpZiYmEj0MMI4qkfj4+PS0dEhmzZtkoaNu4oW4vNWtoYKHl7D6bsHzng+Rq8zP9RAur6wDhpAV/fnNYQ+kjkruwfOhA4uSV9mNcM2d6OEaddSp5fb5iX0U9BFine2mrnYe6jci3rhYPe+A/L91dG26o3q4qVC0Q5Z6jlZyRdPGEAHLj8EEKCKVGIOQ5f0IkINlOstVknNT5iSHEQvJ4CMj4/Lpk2bpKWlRcbHx4tmNWY1tAWeNC4yGQxscx6r9ky39+jnTaigYgsStoF0tV2vbdGtz23oISnqwLkKLlsOnfY83VxdL7e+L037B2TX4RFZvrNHfvrQM7Kprd/3c8JUM+56fn+oaoY6udyvXWt16zHX55w6dUp6enqKbstscSo1PGSz2aJAE2bGJCrbDlmVbIGqdPsXgOgIIEAVqfQgZ1JhIJvNSnd3tzVgpbVwSXIr3lJege3o6JC1a9dKR0eHiBS3uNTUtcpLbcdCLay85jzMikkmk5GNHUPWaseshjbr5+weOGOtVJgtWVFbqcyB8/4Tp6Xz6MlQZ3eYAWTX4RHZ1NYvP33oGVm+s6coeIxkzhZVFaJUM8LshpX77Jz11HS9StDT0yOnTp2yfv7FSwXXYwk7oG7z1nujrsdgtkvFwdwhq3PwZKy3HwXtV8DlhwACVJlK/jLNZDKxzWHoA+V+t5nW+SNJH0YY5vs2Pj4uO3fulE2bNsn4+LjzdjNAqFeVg17Z9Tr93AwRY+cvyJIdh32rHebHe1VH1AC6asWKMgPy6PYB2T1wRvo/+Ni1O1bScx9qkex1Srlezfinp/Z53oaaHzEPLzSNnb9gDRPt7e0yNjbm+xwxz/kI2q7Xpq+vr+hAwVkNbfLhmf+MdDtBdh8eTbzaEkalz1ACEB0BBJDKz17oKnEgoFJuBUa1WEUZKE/re79u3bpEb9+vejQ4OCibNm2Sjo4OV/AQKd4eV99hyKu1y2/Ow2SrjvhVO7yqI6tbj8nY+Qu+rVjqmrOsxWml2t93TPpPnJbnm9+Tn69uTSVshLlsp5Srn+PFSwVrNcO85jd2+i66zTDx/z7cFHqORw8PNXWt0vWh/YR0GzXHYs6Y3FLfIU//pdO1nW+5Tua+CNwhK2lUQIDLDwEEkOoKIJX+ZVpKG1Y5Z3aktfNWkkPoIvbnUEdHh6xbt87a92+2XNkChBlAVCXDfGXftugbO3+hqDLxw+feli1dHxR9nN8sSOfRydYar1Ys1Uq15uAnsr/vmOzvOxZpK14VVh7auF/qXmmWhr3HpXZrn9Ru7ZOGvcedtitzLuTVt3tlR9u7sqPtXXnv6AfO9fGpM0Vb76rqxtce3+0bJrYcOi2HjxfP24xkzsqWQ6dlfmOnNZD4VSlsYSJspaDUAXWzrdEMQrWv7i/azrccPYMfuZ4/S3YcLvs2w6p026oun89X9DBZ4HJCAAEk3tajclX6sYRtZ8jn8842oOUsANL6epubmxM9jFB939RQudlmpfNquTLpi6uwcx62kKLvgqW+137VDnW7Qa1YOzoOy5ZD4bfindXQJvNWtsqi1Xtk0eo9Uru1L9RweqmXOkVdhYuLlwoyePxj+fWy1+Sr97/qO4xeu7XPc6teNT8SJViYZ3+Eba0aGPk08na9thcRzG1/1WyKvp1vqX8Pu7u7i2ZYoraNlco8S6iSKv3iEXA5IYAAMt06VA0q/ViCAojeYhXHL/60XsH0GwCOw44dO5w2Kz9+LVemc+fOyUttxedyeG3Jawsp+i5Yxz7+m9Rt6QicBQlqxVq1p9/6fnMRX1PXKnOWtci8la3yw+feltsb9oYKDrfW7/E9CLCcS4WRg+/2yEuvbJb765ZJ7euHfAPU/MZOWd16zLrwjxIs/vzC+qKNBsJUQ8xTz2cu9p638NsQwTborr4m/ZDDqH+3VcVFr+rVbhsI/fnlqKYDCJlFAcIjgABTqumXRyVbwmyLD7V1bhJndqR1AGISp6FPTEw4Z3ds3brV92PDtFyZHx92zsPWbjVnWYuzELbdlro9vdrhN6i+ak+//PzFfYEzHLfW75FZDW2hqhoqpKjAMWdZi8xZ1mINH+ptt9bvkXkrW+X2hr0yb2WrPLBml/zr8zvlgTW7ZOWOLtnUPuDaMctvjmN+Y6csfeMdWbHyRWlqapI3d78lK/YO+n6ObR7DrC54BYsNGzZYz/6Y39gZqrUqzIB6mIqiGYLN55T6+z46OhrYomX+/dVvO40qSLX8u12Jg1yByxkBBJhSTXMglfylquYOVCWmt7c38QpFGq0L5iFw5VBtVhs3bnTarPyeP2FbrkS8g4dtQevXbiViP+jOrHb0n5ic1/AKJ17Vjm88fUBmNbRVxWGCXkFIVV9qt/bJ/1rbJku2vetZWbm1fo/8ZsU2+fen1sjQ0JCI+G/Va85jeAUL/eesn0VjtlaFHTT32mFLCXsmhn7/sxq8N77I5XK+VRGzgplmFaSaFv2Vbp0FLjcEEGBKNf0CqWRf8/DwsHR1daV6KGJaO3+VexiheXaHzmt4P0rLVdeHuaIKwwN/HQrdbrVkx2HnY23vv++VLunuH/I9zVxVO7xmP1R1o1p2s4py1dRNnjuys/M93zNAbnp4p/yPf18lL7/Z6cwNqZ2xguYxbMFi84EPZGJioigA20JL2DM7zNavh1/vFZFomzrsHjjjfL5fNU5kcrE/PDwsvb29rqqILfCkVQXJ5XJVM4DO/AcQDQEEmFJtr6al+YtVP7Mjk8mk/su0t7c3lfvZvn175M8ZHx932qz8ZkjM507UliszqKjWKNvtRm23Uu/vPHxMfrOm+JyLmrpW32qH/kp5pUOEX7ioqWuV2U/tclU+vIbc5yxrkdWtx+TjU2ecHa78QosKGrZ5DHPXJ1uwWPDifnm31747VCmD5rbPW7WnP/JMhP6zDRsWcrmc9Pb2Ov9m+N3uvJWtkR5PFNU0gF4trWDA5YIAAmgqeQaHrlAoJHYquX4fXgPlaX8fkv5alddeey30x546dcrz7A4b/ZXgKC1XFy8VXIGhps59MKA+4OvXbiVSHGL008q9qhkqdPiFi6R2qUrjurV+j7MlsAop5sfMb+yUgZFP5T9y475hZMGL++XY8Y9EpHgeQz/xXInSZmULLWG23TUHy3fvfzfgmeo2dv6C87lRW6YKhYJ0dXVZt/PVqxhjNBMAACAASURBVCv9J4q3No5DtQygV9OLV8DlggACaKqpjJ7UK2rqzA6/gfK0vw9ptb+FCSB+bVZ+VNUqSsuVrUpiLmJ7e3sD261GMmetW/SOZM5aZ0B+sbZTfr++PXAnqyv1UrtzmW+/pb5DVrcek5HMWaflyjz746aHd8rD9ctl+/btMnrmU995DBF7sLh3S79nsOj6MOe6vzCVCT1E/GDF22Geri56AC7l1HURsW7nm3QVpFoCSCaTieU8FeBqQgABNGm3PvmJMwSogfKwZ3ak3dqQ1vfdqwUrzNkdQY59/Df5+tJ9roWjX8uVOe9x75Z+65kety1rdy1eg9qtZjW0yUjmrH0GZEOXzH/pYFW3UsUZMtQhiar6Yb7/ZyuaPXe80s8OMUNETV2rrNr1rmzfvl2amprk50s2Fn2uGTBWvdYcus3KbPPyGxJ3bl8LvkHzHKax8xec78E967tCf57tlX99O99Xuz9yHlPcVZBqqjpU0wtXwOWCAAJo0mh9CiuOIfBsNivd3d2RbyvtIJbWYsIcQh8cHHTarMo5pDBKy5VI8GB6mHYrrzM/bKFkfmOnLN3aeVUED9t1a/3koYdeQWTJtndlZ/dRuet5e5BRMyBm25VqkRoaGpJ7656Xmx7e6fo8PWA0NTVFbrPSnyd+lTSllHkO232FDTBBZ/hks9nEqiC5XK5qqg7MfwDREUAAQ7XMgZR6QJ8+UF7qor4Sry6m8Spie3u7jIyMOEPlcZwLYi4o/RaKQfMeIsG7W9mG0NXA+qo9/UXtO6v29Bd9/NUaRIKuX6ztlI73P5TVrcesVZHNBz4oOvNDX+wfO/6RPLL1kDVgbNiwwfkZR2mz0u8rKFScOPk313MiqjDb8urCbPmrz4Js2t0R6wGm1TCAXk2VGOByQgABDJ9//nlV/GITCb8oVy1WaqA8Dmm/qpd08BsfH5dnn31Wnn322ZLbrHS2+Y0tXd6nWgfNe5jhZObiyXar3fsOOB8TZcj8nvVd8uDL1XlGR7Vfaih9YORTuWd9lyssqJPl9RapmrpW2X14+u/qwMinRQHjsec3uJ4PYdus9PmOoGCQzWblz3/tcz4+aiuWHhbCnNAe9t8nPdh4becbFfMfwOWNAAIYqmkOJGhRrgbKR0dHYz+zI+1KUFKBp6enR5YvXy4dHR1y6tQp6enpKfs2dw+cse6A5LUlqbkbkjnv4bdlb19fn2dVxDZkPquhTR7aWFzlCHs6+ZV+3Vq/x/p9sB1QqIKIWfVQ2+5uPvBB0c9EMXenmrl4v6xuPVb03AjTZhW2FWt0dFQuXiq4FvxhzhTRqWpZmDausH9nvc4b0bfzjfqiT7UEEOY/gNIQQACLavmlYptHyefzzm4zSQaltGdh4rw//ewOvc1qYmJCmpuby7ptv5Yr24IszLyHVzgZO39BHvjrUFGQ8DpI8MGXW4qqKCVdj+6TGx9slpvuf1Nuvv9N+dJv/ypfvnerfOWe1+XLv9vuXDf/fofc9O875YYHm+WGP70tMx8tPmPkcrruf7Vblmx7tyigzG/slM0HPij6OV28VCgKl+bp5+bciPl+kXBtVmE+Rp2noy/4zTNKgkTZljdKCPBr79IH18NUE6qp7Yn5D6A0BBDAolrmQPRqjN5ilcYJ5WmfDB+mnzyI2s3K7+yOcgLIw6/3uoKAeaaD/ryx7ZxktrWYswB6ODEXrnq7lRkyVLtVKRWOGx7eKzf9brt86Zcb5au/3Ch/P/8l+drC9fJff77Buf7xF694Xupj/uFfXpaaBevkqwvXy82LtshNv/2r3Phgc8VDRdSrpq5VVu0+ZJ0D2dx+ROauesf5s6p8jZ2/ULQdrz6APnrmU/nHx3Y477/tkY3S1NQkQ0NDIhKuzSrMx+gHepaztW6Yz40aAsKeum7bztf2MdXQ9lRNQQi43BBAAItqGXAcHR2Vrq4u3zM7klLqEHypyml9i3J2x7p160q6Dz182A6dE5l+NTTM+R5elRHbPIc+ZK6/fVZDm9S/HnF3q0f3yY1/2CVf+s1m+eqCdfLVn61xhY5//IV/4AgbRm6Zt1a++rM18tX5L8nNv94kf/fbv1ZVhcTWcqVfqv3KDCKb248UBVH1s/Wqjo2NjUl7e7tr5mP3wBkZGhqSDRs2yNDQUCytWHrlVn8ehR0qt32u1+5Vpfz7EOXxFAoFyWQy0tfXV/TvcbX8+8z8B1A6AghgkfbiW6cGynt7e51tdCslzTasqK8mjo+Py8aNGyOf3bF27drIj01fWM5d9Y5nX/3w8HBgS455e/rp2LbdkV7vOCK7979bFDLmrWyNdJDgDQ/sli/9cqPcMm+tEw7cwaO00BE6iPxsjXzlp41y86ItcsNlVBlZsuNw0VD57sOjrjAwq6FNTua+sP4M5zd2ypGjgzI4OFgUCtTzaGhoSJqamuRri99yPi9qK5bt749edQizja8uaFveUiqWYasgpnPnzjmzbrlcrmranqqlVRe4HBFAAA9eA8VJUQPlZotVJX/Zpn3fYX6h62d3lLKblb4dahjmQtNvqHfF3kHrK+CKOZisv3puDjQvfvVteffoh7LolR7X26NWPW78wy65+Teb5as/W+OEj1vmrZWaBesSCR/T12QI+drC9fL3819yQogKIl9asE5uuP/NigcM2/WzFc1FQdCshJghRN8Ja+z8BVer1k0P75SxsTER8Z/PKKcVy+tFE/35FrUVy69iUeriu9SqjKICSDVUQaolCAGXIwII4CGNXy76mR1eFZdK/qJN+xes3/11dHTIypUryz67wzyM0I8ZPrwWcGHmPfzasvT7uaW+Q1bv6JIXth+wDpmbZ3p4XrUt8qWpFis9eHiFj/9mXP+o/Vddt/xkpfzDgrXRqiEL18s//MvLRSFEXTf/4hW54YHdFQ8d5rVo9Z6iXazU6erqzydzX8juw6Ouj1E/d/M5oYdRfcbCPA1dfy786tk3nDkRr49Rt+tVkdADy/zGztDPfRH/Ckqp/zaUWgVRVKVHbefb3d1dkTYo5j+A8hBAAA9JDXurX1xqoDwoXFRyW+C0d8IyFzVqqDxqm5Wf5ubmUKeehw0fYeY9zG1c1Q5KIu52rFkNbdL74X8UzXr8et2BSGd6/N29f5GvzH+pKHjcMm+t/P38l+Qf/uXl4vDxy43y33459d9fvDL5/5YQUko71tcWrpeaBetc7VjO9dM18uWfvCg3/ts2ubV+T+BsRhKX1/C+bfcrvTpSU9cqJ3NfyMncF56bCdhapoLmM/Tgs6etQ5qammT79u2u5615u37/lpRyyrlyz/ou52vVn9flbINbThXEtjlGLpeTI0eOlLSdb6mY/wDKQwABPGSz2Vhf4VItVqUMlKcdBJS0w4/6fvf09MjKlStDDZVHNTg4KKdOnfL9mLDhw5z3mPtsixz7+G+ujzFbq9Ti1Ksdy2zr+fNf++TrS0MObz+6T2761avylZ82WisfqvrhHUCMK+YA8vfzLQFEtWX9pFF+98xuuThxyfne5T47J7nPzslI5qzsOjwi8xs7EznLxO+MlFkNbdLx/oeun5U+e6NCiBlEH369V0S8t7X1qy6Mnb/gPB61SJ+YmJDt27c7u2eZrVhBLaP6oj9KK5bt8Zf76n85VZDR0VHPkGFu55tkGGH+AygPAQTwUe4ciBooL/fMjkptC5zmMP74+Lg0NzfLa6+9VnablZ9Tp0753r7eUuO3WLPtYmUGNvNjVHuOuVhVu2qZuyuZW/H6XrUtcvP8l+QrP220Bo/IASTGgfTpAGJvw1LXl3/yonxr0VoZG/8/nj+fi5cK8vxb/fKDFW8nWhUxrwdfbnF+ZmqrXlsI0Wc/1IJ9wYrpFrP+E6edr8VvPkMPrmZAUbtn/bx+g/Mxf3rlbc/vmXrO2YJQGOa2vHH8u1BqFSRs65e+nW8SlYpqOQgRuFwRQAAfpQYQfRerONq4KvlqW9L3rdqsmpqapKenJ/HAMzExIe3t7db36eFDLSpt9MWhPu9x7tw55/GbrVUnc19IPp+Xd49+WPRK+UjmrGvhOquhrajlyjeI1LbITT9bI18OCB+3zFsrNVMtWNYZEK3qEWf14x/+5WWpmWoJ8wsgTgj517Vy8pPPPH+G6nt88VJBthw6XTSrEddlnppuDqZvbj9S9Hy5eKng+lmOnb8gz65eZ11w2yoduqAB8qGhoVAHFCr6czJK5UEPzHOWtcRyZk+pVZCo/x75bedbKuY/gPIRQAAfUQKEPlAe9y+ntA8F1CVVfbGd3aEv4JNkG0QfGPk0VPjQP85WITl8dKgoTJwY/ZsMDw9Le99g0ayArRpS/7r7ULvvPNvuvVB+6C258Uer5Ms/edGz7cqcAVFVEK9dsOKofpgHFP79/JfkloDw4WzV+6NV8rV5L8jujiPWn4GtJTGpMKJXPsyrdtuAtWJmVhu2b9/uueD2q3QEBRT1Mfr924bW9e9Rqa1Y+uN8YfuB0J/nJ2oVpNx/H8ztfEtVLQchApczAgjgQ7VQBb1fDZQnpZLnksRZARkfH5edO3f6DpWnMe9ibsVrDhGbOxMp+oLQFlLGzl+Qbzx9wLmdbz3dJnvbD0g2m7XOgtjmBszdtHyHsu/ZKjf+4Hm5OUIA8QohcW3Hq27LqXyo8BGi+qECyJd/8qLc9MOVcuMPnpdVTcWL06DniO0wx3Ku+tc7Xe1x5s/RFkL0tqXXdk0e5ue1+PerYvht26vorX4/r9/gHG5oU878hXqcX1+6L9LneYn6WOJ8ISaXy0lfX5/vTIkX5j+A8hFAgAC9vb1Fb1MD5aOjo6mdUF6pX3pxtC1EObsjja1/9cMIzfChznIwmYta8+PMna5+v77dCY3mLMjuw6NF91v/eqerchJ03fC/Xpcbf/C83Hj38/KlH692FvBhAogthJQTRNTnqeBhCx9hA4hqw7rpR5MB5IbvPydLX9rr+l6HCePmNrhhL6/AZ86AmNvx2jYu0KsgIiL9J04XvU09t/TPNflt2ysy+XdUBd85y1pEZPpwQ3P3LBFxHnvD3uOB30edHhj0WZZyqIH+MFWQJP4NLGU7X+Y/gPIRQIAAag4kn887Q42VqEZUahC9nJ2wOjo6ZPny5dLT0xP6c7q6ukq6ryjWrVsnIsGhQjH7+s1WGa+drkTssyDmx/u1+fiGjx88Lzf9cKV86cerA4fPbQFEhRAVRGxhJMylPudrU7ehgkeUysd0BWQygNz8o1WTAWTq61xQu8nZISvKAjDSIH/Apf+MHny5xdUeZe5g1n/idNHwtkjxQLdiO9tD0Z+n81a2Fn2NmUxGntn+rvP5+mGZ5u5ZItOLfttt+bl4qeDcx5ZD8QQQPZQFVUGSXviH2c6X+Q8gHgQQIMDw8LB0dXUldi5IWJXaijfqL9xyz+5Io9LT1NRUFD7MgwN1evuN2QZjVjce2zi5G9HFSwW5d0vxq+JFu2ftPhQtfPxrkxM+zAASpQISJoyYoUSvbuiX+jyz4hE1fOgtWDf/aJX83d0vuL7Wu/79Vbk4cSnyQtSsTsV16bM68xs7XTMWtdsGrFUQv2qHXytWw97jzvtMn3/+uWsh71WdULtn/fuGyZmimrpoAUSk9OqJn7CBKK0qsN92vsx/APEggAAWautcVe2ohle8KnkgYZhf/IODg87ZHWEO+vOSxsnvO9/ucC32zFecdXpg0E+SzufzUrfziGsxeTL3hXR1dXkeTmie8bHr8Ej4V+cf3Sc3LFjnWpDHFUBsYWQ6lLzkChg1C9ZJzVRYcX1sGaFDr36YMyDm9acX9ljbIoOYgbCc6oe65ixrKTrt3Kxw2CoeXgcD+m2V23n0pGfA6Ovri1SdeK39PedjRzJnI30fVVi4Z318lcrarX2BASStDSpM5na+zH8A8SCAAFPUQLnaPleXxlxCkEqW/r3av8bHx6Wjo0M2bdoU29kdSQctMxz4hQ+9VWpWQ5tcvFRwdjt7/i37YYU9gx9ZTz03z/jQXz0Pdf3P16wL8r+7+wXXEHocISQonJgVjnKDhzn/8aUfr/YMIDf+4Hl5ZMVfSv75m+1vYS+vNrndA2eKKmnq/5fsOCyv7ZoOmHqo8BpIV4HFrI7o4cQMGKptcc6yllDhYCRz1rmtPzzzsjQ2NvrunqVTJ6OrWZM4qOrOrfV7PD8mjq1/y6G2821vb0/lRRLgSkcAwVVPDZT7tVhVy6telQpC5tev2qw2btxYUpuVnyR3/NJbZILCR9eHOVdgeKfvfWe3M32AXF9Amq0+aqeroDM+Aq/aFs/FuAogX/pJfFWQoCuOoFF0qerHj+3tV/p1w/efk90Hwi2YbfRh6iiXbUB9VkOb9J847TonQx+s3rBhg7UK4rW71ZZDp4s+VvEKGKolzSu82JitVKo9K2he6/Ftfc7ji8uag58E3mY1/BusXgSKaztf4GpGAMFVST+zI8xit5LtT7pKBRDVhmY7uyMJScy7mIPkT/31Xc+P1QPGLfUdsqPjsPPzNysoalcifStWPXz4nfER6np0n9zw49W+AeSmH650qiAqhCQZRKZvP74AoocPv+qHuv6/X7/oe2J6ED0UlHvVbhtwBQe9xepXdY2erVW2YKLPcnQePel6zKr6YAYMVRnVQ03QGR9ecxd+u2eJiDz/xvTzOfdZPBWJXYdHnNvUB+h11bDzlG3+I5fLSXd3d0nb+QJXMwIIrhrq1Sv1KnaUXxbVsvNJJUr/4+Pj8sYbb8hrr70mp06dSuU+4w5aZvh4+PVe62GEIsUBo+tD94JDP+hODa7rhxOqt5u387/WtpU2g/CbzXLD95/zXYyrEPKlH692hZDkA0j51ZCv/LTRmftQrVd+1Q+9CmI7IySscs8KqalrdQLBzMX7ZX/fMef/9bYstcC3hQ29FUoPG+pt5qC3rTqiz0Z43Z6NanvyGkRXu2eZ7Vm790/vthXXVrx66PKaSamGCojfYygUCjI6OhppO1/gakYAwRVPtVgNDw+XtYtVpbbB1aVZiTl16pTr7I40d+GK+3utL/wffr1XRCZ3wjKd/7/+O2PpA8eqbUZfyNbUtcre7vdkf98x13D5gy+3RDrjw7lqWwLDRyUqIXEFkMngMR0+glqvzAAy69cvOlvzlqLUVix1Ld06HUZnNbQ5z4N71ne5niu209EV9bY1Bz9x3uZVnbAFDHOTjLC7VOlfu1fVQVHtWXv27JGhD4adz9t1eCTst9pX0A5elRpAN4WtwuiD61RFADsCCK5I+kB5XL+4quEXoEjy2/GqszvMNqs027/ifLVTH/7Wd7FSZ4GITLfk3f2Cu4VKpw8Xz131jvN2syLSd/yU3FLf4QofJb/S/suNcsP3n3POwggbQr7049XJVkP0YBND1UO1XYUNHyqAlFsFEYnWimX+HL/x9AF59PXpYKkW/zV1rdbAYauC2OY6/KoTZsDIZDKuRW7YLW3DbNtr6uvrkzVr1siNj+wtCk3lyH12zrdyU+kBdJHSquD6dr7mzwm42hFAcMVR/+jHfWZHtcyBJFGJGR8fl8bGRt+zO9IMIHG1munhY+6qd1yv9K5du9a1AYH+irWqkignc1+4FqFq8WhWRMwh983tR1x/VotNdTu+W/A+uk9uuPuF0BUQWyVEhZAv/6TRqIiUGUiMykrkYfOfNDohqZTwoQeQWWXOgkRpxbL9vPSF/HeebXe9XR8Kv3ip4AolKkDYdpXSt9w1W5LMgGGG9aDWKp2t+uJHvfihHsPdz+4JvXtW2Mdi20K4Gtqvyj3/Q1VFGFwHJhFAgAgqdRigLs5fxoODg06bVdDZHWl+7XGcvaIPApvhI5vNyvr165378PtYc4F6MveFiLh3yVKfoweezQc+cP1Zr4TU1LXK7Kd2+S94/+drziI7ysJchRAziKizQvQg4qqMRKySRAkgX/lpo3xlqtXKVvWIGj70AHLD95+Tzbu8NxQIY8eR/yytQjVVuVDB8o7l0wGkdtuA9ZRvM0DYdoDSW63M08HNAwnNtiC/8GIKu22vou5LD01hd88KosKdLQxVwzbocf27q7bz7evrYztfXNUIIEAE1TIHUs7ifGJioqSzO9I8kLHcrXjN8ztUxUIdMJnJZJwhdH33KvNMBhFxzW6omZCx8xeK2m30+5zf2On685xl7hmQwMMHterHZAtW9BDiFURUCFDtWWYgsYYTj5Ax/X6v+Y4Xi0OHCh4/LC142ALIrF+/WPJzRWRyYV3OrlgqVNTUtTr///Wl+2Tnzp3yD3UtznNLpLji4RUYvGY5zAMJzcW5XmUxw4sp6pkeKoCo0KRXWYJ2zwqiwlDt1uI5i2qogCSxC1ehUGA7X1y1CCBABNXwipWab4lKnd3h12blJ8nzOWxKrbjo4WBWQ5ucGP2bEzz0trz29nbp7P+gKEjobEPn5o5aXR/milq03uwZdv35oY0RF7Va9aPUKohXEDGrImYYmbzWFIWTr/zUe5ZDn+nQg4cKHerSKx5xhQ91lXMuSG9vr2thH+byatvSq2mr1m2U5/46PSPUf+J00eLda+cqr1kO88Rz2+JcPTbzNHWTvqtW0CC6yPTfSb9tc712zwridcJ62v/u2KSxCyLb+eJqQwBBRU1MTJRduk9TtcyBRHlF0GuoPOn7Ldfw8HBJn6cPhW94s10GBgas80Dd7w3K1xa/5XysOs9D8Ro6D5r7GBj5VL6+dJ/z58jhw6x+xBBAbvzB83KjtvA3w8jNP1olN08FEv3SKxi2y/x4PWzEGTjCBJByqiBtbW2uhX3YS5/pUdfGt6fb7r73+wZXReKPTe/I829NBxS1eFd/1tuP/A7nU/f763UHrAvjsJWNKIPo+k5UYT8vSnuWesxm4KqGAfRy5z+iYDtfXC0IIEjFokWL5O6775YFCxbIggUL5Pe//72ITM4gLFq0qLIPLqJqaAcI6okeHx8vqc0qSJotaKXclz6XoZ8ubSoaFje22/UaOjfbrETcW/xuPvCBKwAtWl18cnbgde9frAvsWEKIR2VEDyT6ZQYKW8Awr78zgk7cj9nre1NOFaS3t1dEpl+FD3vVvdJc9LY1Bz9xAsI3F0+2+env06tjquXKNothtlrpVLvY15fus74gErayYVZT/OhBQP+8oPNGRMK1Z6nZllvr97jeXg0HEFbq33y288WVjACCVCxYsEDGxsaK3j44OCgLFiyowCMqXTUMRHq1J6mzO3bu3FlSm1WQkZF49v0PI2oFZPT0GdeQt9/CSw8J5na7XkPn+unoKpTogeTeLf2u9pufrWguafvdG368OrUA4hVGSr2SfHxB4aOcKoha5OoD3mEu/SBC/W367Vy8VJBb6yeDaO3WPlf14OWd7ZLNZuXnq1uLKhZ+4UA/w+PUJ8WD5lEqG+o5GnRuiFlp8Rsa9+LXnmWbKxGpjn9vKx2C2M4XVyICCFIRJoBMTEzIfffdJzt37kz74UVSDXMgZitYR0eHrF27NpY2Kz9pfu1he67V6fa/Xz+9A5Hf8K3eQvXbV4t3T7INndvarPTTz2c1tEnH+x86f76lvqO0sz/+sCtwkZ30Ir+ar6DvTalVEFtrUZhLBQv9mtXQ5rqdzqMnXQFEP/Ni1+ERyefz8kyLe2crRT/YUBd04nmUykbYc0PMRXjUHbRMZnuWPleipDF7EaQaHoNOVUWAyx0BBKmYPXu2LFq0SH7zm9/IggULpL29XUTcAeSBBx6QTZs2VfJhhlItQ5H9/f2BZ3fELc0ZmKBdt/TBcj0M6IcNmsztdjdsft31ftvQuUhxm5UeSGrqWqXz6EnXn3+zZl/RwjTU9ZvNoRbZlQ4C1Ro+bvj+czLvofWRn2uqoljKHIi69J3NLl4qOH+u3TZQtMOT+jhVPdDbrfb1Djoh32+WI+jE87ABwW/WRKfa1BSvmY2oVHvWH5552Xkcuc8mW72q4d/aNOc/gKsJAQSp2LZtm7NIHh8fl9mzZ8v4+LgTQBobG6WxsbHCjzK8Ugek46DO7ti8eXNqwUNJ89VA2+Ijn8/LwMBA0Y5Wqmph28lKsW23u3btWuf9XkPnZpuVSPHp5/qfbYPJoS6P4fOrPYSE/X7o1/n/839DP8/UuQxK1DkQdemf13/itKuyYFYZzPDgOvfj4FFna9bnm99zhRpdUOVCPwTRT9hzQ8y/91EOPAxDrxrt6uxz7rPS1WaqDUAyCCCoiPvvv1/a29tlcHBQZs+eLffff78sXLiwpP3jK6ESfckdHR2ycuVKZ6i8UiEorV/IetjJ5/MyPDwsIyMjRTtarW495ixcVrces96WPlSuh5S//OUvRe/Xh87NNquLlwquKsrDr/e6qiaBhwv6XSHar662EFJK+Ljh+8/J1p37Qg/u6rs7iUSfA1GXPg+y5uAnrm1lzbBg23LWrIoUCgV5692jrlCjC6pc6HMiXqFcJLidy/Y9Eom+hW8QvTVt2as7ZcOGDVXRjlvp+Q/gSkUAQeLGx8fl5Zdfdr3t7rvvlqGhIVcL1uVUBclms9atXePmd3ZHWo/BlOZOWMPDwzI8POxZddHP/NCrFl4fM3Px9FC5iEhzc7Pn0Ln+9pq6VjmZ+6IokOhVlcDDBYOuRVtKXnBXOihUS/DQ50DUIW9BQcSstIWdAzErJbVb+1xtT/rch1cA0asXtpYpvSXsj03vuFqBggJAlEH0oHYu21a4UW4/DP1r3XV4crOLrVu3lnW4YbnUlrgA4kcAQSruu+8+eeCBB6S5uVmefPJJeeCBB0SkeAh94cKFiQ9Sx6HUwwDD6unpkSVLlvh+LyrVH53GL+RMJiNtbW3S1eXfv663PpnneNg+Zvdh92Nvbm62Dp2bn7f5wAdFgaT/xGlX6Cg7gPx8veeCeuZdy2XmXSv8F95VEBzSDR/e3495D06/4BEURMxZo1LnQOatbHXNbOgBpHZrn8xcPL3FrG3LWdu8hzlMnsvlpK+vT3K5XNFtmvShbjVT4SWo7Hoz1wAAIABJREFUncvWCqVXLMJsxRuGXgXSK6ClHm5YLuY/gOQQQJCanp4eaW5udh1KNTEx4fqFMj4+nuovmHLE3QJVytkdlXh1LpPJJFZ5UYPlKliZg6+6MGd+6BUL28d4DZ3b3u7aunf3IVdwKTt8LN4vM3/5iudCe+bcZ2Xm3GfDLcyrIEREChxRwsddy+UGVxCzh5Bbf76i6GftFUTMV/fLCSB6+5ZeVTDDgq19yvY2r/aoXC4nv1jbWRRYdFFapILCjFcbkh4Y4qBCW8Pe456L/yiHG5aLU8mB5BBAgBLFFUBUm1VjY2PkofI026GUuHfCUtUkc7BcxPu8E32XITWbYaNCg+1cEK+hcz3YzF31TtHcx5Idh10BJbZr3hqPRfcKmTl3mcycWnzPnLtcZt459efLvC0ramuVE8ScEGIPIP/jX57xfL6ZQcQ8V0F/ZT/KNWdZi2shry/OzYqHrTqhBxD1XPWrYqj7+FWjfd4lKFTognbM8pp5M3f3Kpc+GxM0gB7mcMNyMf8BJIcAApQom82W1YYVx9kdlepPjqP9TA2W24KH4rUVrx4Auj60t0jo1Q9zON1r6FyfF1HD6vrtzF31jqzafShwMWo7HyLouu77z8jMucWhYubc5TJz7rKp8PGszLzzGbn+e09PV0TuWuHbjlRNgSTyPMddK7Rr+dTXv0xm3qWqQfav+5Yf1Ac+/1QQOXLkiGuhq1cdoly31u9xLeT1AGJWN2zzE7bA4FfF0CsstuqO3xa+pqAZEK9/Z8KeIRKWvrVv2MV/Uu1ZzH8AySKAACUqZQ5kfHxcdu7cGdvZHUFnZSSlnF3AVPAIM0Rvq7aEPfPD61R081DBprcOWN8+MPJpUSAx5z68rlJasmbcWT8VKla4FuD6q/4z71wm13+vQa6f85TMnPvM5GzInctcFZIoC/xqDx8z71w2GbjufGbyezB3ucxU/2+rgkx9zozvLg79fFTVN7V4L/Uwwpq6Vufnrg+o7zo8UhRAbK1VtiqEVxXD66BBFURGR0fln57aF6o6YR6MaLLtgKXEvRWv+nrnLGspqfoQZ3sW8x9AsgggQBnCLsTV2R0dHR2xnt2R9DC8l1ICSCaT8d3RysZ27ogeLDzP/NC2INUHy0Xc2/ZuPvCBbN++XUTcVZVVeyznfbQf8TzdvKRTz43rmtl/diobauB85l3Lp8LFiqmw8Yxc/72n5PrvNcjMucvk+jufkevmLJXr5zylfW55QSTqHEnkYOHVXqW+Vu1SYWvya1s2WQXRA5elCnL9nKVy7bcfDf0cUwtdtXhf8dcDkX5utnNflmx717Wo1ysZIu4Aohb9tiqEVxUjaOvcQmE6oDzTYq9qKPo5ILaNHPxe5Ih7K14V1GrqWsv6dy2O9izmP4BkEUCAMgTNgXR0dMiSJUsSHZisxHkgXrMZNtlsVtra2kqeG9HbIMzwYGPOh3i9T1VP1q5d65oHUW83B9Effr13+mNenA4mD22MZwj9mm/XynV3PCHXf6/BCRCT1Y9logbRr//e01MB5OmpAPK0XDe7Xq6bXS/Xz1k6uWBX151PO61bcYWE+K6ptrGp9qqZd62Y/Nqcr+Fpp9VMvW3mnc/IzLuenW7DmlvchjXzruUy47t1cs0/PywXJy6Fen6ZGx3ocxdhroc2Fr9t5Y7pFqzOoyeLZjn0hXvus3OeVQh9Jy2dHhpsO1zpt7dhb6+zc5ZNUIjwm8WIO4C4vi8xVB/Kac9i/gNIFgEEKIPt1UG/szuSUIlDEcO0fqnWlnIrNGrQXm+H8mu90kPK7oEznu9Tr/a+tOFVV2AZO3+haBDdDChzn21xXqnVX+0uK4B88wG59tuPyHWzl0xWQLzar7731FQb0jK5bs5TTgBxKiFzlsr1s5fI9bPrJ29r6mNVdURdFQke2hyLfl1/59Ny/dTXcv1sVdGZDB2TAeQpmXnn1NzLXZY2rKlB/eu/1yDXfvsRueZbD0lu7LNIzy9Fb5cKc+nzHup65c3p/+8/cboogKhWI9W65HUauddsRtDC33Z7agtf84WAoDYqv4V4lDmTMIKCVTmitGcx/wEkjwAClEFvERocHJSVK1dKR0dHqodmBe0Wk9R92ioa+XxeRkZGfAfLo1IBK8yZH7YKR9D7Hmk6UHS7+u5ZJ0b/Jj9be9AJKB3vfxh79WMygDwo13zrQZnxncenWqyedVqNbO1XM+cuk+tmL3FXQOYsmXzbHfVy3R1PynV3qLc/pVVHpv5fBZO7jGAScqhdDxXmNVMNjM+dnN+4XoWM700GpMnHvWTqsS3V3vakq5ozGUCeclV9itqwpsLHdbOXyIzv/lmu+dZDcs23HgwdQMwKSNQAYmvB2t83HXT7T5wuqnioyoaa97AFCr/ZjKDQ4Ld7Vi6Xc14YKBQKgSHC7wUO9dyPaxesuA83tAnTnsX8B5A8AghQhvHxcVm3bl2kszviFve2uGHpbVhhdrQq5370CoTXmR8i9gpH0PvU/IZagOlD7n/Y0C573j3q/Hl16zFXOLG9+l3K9dAr7XLNNx+YvP75Ybnuu09MLtDVXIe1/eqZ6eqHK4DUy3V3PDF1PTm5qL/Dck1VSK6bs0Sum7PUuVwtUCo4ONczTviZDhUNzudMX5NBZzII1U8Hi9lL5PrZSya/vu/WTT7G2fVy/ZwlUyFk8vFeP2eJU/WYngMx27Cecao71895Smbc/rhc888PT34Pv/Wg9B89EfjcyufzcuTIEdfbVHWi1KumrrUoAKjnzK31e6wD5LZhc785j6DQoM9S+H3tw8PDgcPqXpUAPSDpg/Dl0L/mpAKI4tee5XVoJYD4EECAEuhnd/gdlpcG26B2Grq6ulw7WiXl5Okzckt9h1OB8Oo1L6X6oYcNtYgyzw7R/2xWP+IIHzV1rfLR6OnpAPLNB+Ta2/4kM25/XK6bXT/doqSqF2rR/b0GLYAscVqvJgOHGUCmFvzf/bPM+O6fZYZa/OvXd+umgk+9U6FwXU5wsYQaLQg5VZk7npy6zbrpx6Iu/e2zn5wMJnoAmb3EGT4vmgOZ2g1rst1s8prx3Sfkmm/9cfp7GCKADAwMWOenyg0gt9bvcQWQj0+dcbVS6c85FYRtO2D5VTGCzu0IewaIHoae2ztYtOj22wHLq22sHPrjse3IlRSzPYv5DyB5BBAggo6ODlm+fLnr7I5KVSB0ac+BZDIZ6e7uTiX41G4b8Kxq6PyqH/quWPpciB4u/vNsVt4fnK60NOw97npFdnXrMVfFw9Z6U8q1+cAHkhv7zBVAJhfRf5QZtz82Ndux1AkZTvvVnCXaol99jGq9ekKuu6NOW/RPBowZTgD583QIUG/7jnZNhZQZRZ+jf17d1G3WFX3udVNX0f05QeQJ15+nA4hWLQlow7p+zlK57o4nZcZ3/jw59+F87x6cCiD23Z/UbmxelbpSf656W5UeHvTQ2nn0pLXdyjbrYTsZXQk6tyMooCj683v3waNOFVP9vfab9dJPfY9jAF1RtxnX6epRDA0Nybp16xI93BDAJAIIEGB8fFw6Ojpk06ZNcurUqaL3FwqFSLtCJSGtnbCy2ax0dXU5C5Ok2xT0V4vv3dLv+XFBA+qqzUrfFctstcpms64QM5I561pk6f3ppRw0aLvU48mN/e/iAPLNB+Sa22plxncWy4w7npisTkwFEP/2K7XAf0KrVLgDSHH4WKxd5p8jXlpQmQ4zXgGkzqmgeM+BPD1d7VCB5M6n5brZT8q13350su3qWw8a37sH5f1jH7meA2GqdXqlzO8yP+a2Ze2uUKA/b/Tn1MVL0zMXqjrh1coU9QwQXVBAUbyqLNlsVrq7u31bkeIeQFfU362gx56UXC4nH3/8cSKHGwKYRgABPEQ5u8PcSSdtYQ71K5Vq8TJfNU668qMfDOh35oeIf5XE1mYlMr2Aqqlrld173i5q0zL/rC8q47r2vHt08vC7o8ftAWRqJuTa2/4k197+2OTC/M5njPYrr/mPyyCAfFcPIEumvgbbHMhTzjD9ZDvYEzLj9scmqx3W79uDclF7Bdur3cqkVyeiBBC9beu5vYPOInp+Y6dTZVPB2Bzc9jqHw+uU8aCDA8MEFCVomL2313sL37AhJyqvrYfTYoauOA83BDCNAAIYbG1WQSpdAfHalaoc+XzeWbjZwk3Ssyf6K8dPv3HA8+NO5r7wrZKYMx35fN7ValW7bUCamppci8+BkU9d99/x/oex7XalLrUgVW0vngFECyIzvrN4es5CGyS3z388of25zhpAZlQsgJhzIJZBdGOXrBl3PCEzvrNYrr39MWerXa/v1Td+9JiIBLdbeT1Xol7PvzF9EGXtut3W6kfD3uPWaofXlrphzgCxzV4EHVKoC7sDltrCV/19DwpBpUpisD0qr/mPOA43BDCNAALIZJtVY2NjyWd3VMMcSFz71uutKkELt6T2ytdDxfzGTt8ZF33RaFZJ9OpH3ZYO5+sy50XWrVvn9M2rtii9+qF/fFzXydwXzuPM5/Ny+y+Whgghf5QZtz8u1377EZlx++NTw+TaIPgdegDxGkCvdAB5ImAQvX6yfUwLKzPueEKuve2RqXYr7+DhzIB884HIO7LplYOo16b26QqcqlzMXLxfXtn3vut5prc8qfBgngmiqI8zZyH8htNFog2HB1UbzL/fagvfF3cfCn0fUQR9bUkrFAqBlbJyDjcEMI0AgqtalDarIJU+uKrcNjD1anGUqkZSrWd6qDiZ+8LzMekBw7Y9r179OPnJ5ELJtiPW/UtXu1611m93deux2Ksftse6pHFXcAD55gNTC/AH5Zpv/XFyt6ypRX/RwLgxgO4ZQMoNHJECSJ09gNzh3gnLfZuPG0PmwddXZj8c+TkXtv3KvOYsa7G25+ltezV1rdLXPyCP7xgoChvqOapXIco5AyTK6eReIUfEfwcs9Rhuqe+IdQ7MK4ylJer5H7RnAaUjgOCq9N5778nKlStjPbuj0nMgpQagbDYrbW1tJbVTJRG69DM/VrceE5HJcGRb6JjtVTozRCi23bL8tt6N66Rz/bLt5rV55zuRFtmuGZFvPyozbn9s+vrO457zH8UBxB0eYg8grp2x9ADi3glLzbPM+G7dZOC4rXaq4vFHn1kP+7Vy41uRn3eltl/Vbu2zBtQth067ZkEKhYLMfbbFFXxF7If5+VUxgrbYDQooSlAbld8OWHpoUi2EcQSRapv/CIv2LCA6AggQk0qcSK7zWzDYqMHyclrH4v6a9eqEfuaHrcXNK2CoFrK7X9hvDSfmwYNj5y84t2Oe07Bk27vWxWW5FRHbK9Njn31eWgBxtp59aHLBflvtZIvWd//sOuNjut1qOoQkFUCmQ86fXW9z36+x7a+a77jtTyHarPyvv2X+I9LzTp+biHrpO6KpNr6aulb5+NT01s9qnkE9b363sUuGh4fls3H7zEM5Z4CE3Z3K1g6m8/u7bQ6gFwoFGR0dleHh4ZJPEK/m+Y+waM8CwiOAADGp9BxIPp8PDCDqY+I6sTzur/neLf3WKoGtHcQ2XK5ayLzCiW1HLL0i8nLTG64dtfRqjLpmNbSVFUBs2wSLTC74Zv9qSVkLb1eb1lQQufb2x+Ta7zwuM9R1+2OT8yO3qz9rV+wBpM5dmXHu6zGZcfujk2Hjtlq55raH5Zp//mPZweOabz4gP/3tc5FflY8646OHDvX/NXWtrtY+vRVqJHPWFXJ2HR6RQqEgOzoOO2/TB8b1li5TUJUgbBUhqFXLazEeVDnJZrOeO2eFfTzVOv8RBe1ZgD8CCBCjSs+BeP0CVYvzgYGBWLfrjXMnLL36UbttoOj9+k5jXsPlin5goL64MkOLOQ9y8vTf5MZH9jqvMKtqiX6VewK6uW2pvlPTrrbD8QQQVxhR1ZE/Tl63/WkymFguvwBy7e1Gm5fR8mUGEDVbcu23H5ncRli7rrmtNpawYbs273zHeW4ODAyEen5GDZS2wwp/tqLZFZ7NeQbbAlt/W1fv+05g8jrTRh+U9zqoL+j9SlArl9fGD2EHxdXOWWGDyOU2/xEW7VmAHQEEiFHaJ5IH3b9eFUiqPSyur1lf2NhmJPT70c8HUcPlit5SpQcZW1XEnAfR//y759+wvvJd7nkg6mvL5/PS1tbmCoQXJyYSWZQHhpJ//uPULMlUOLn90cnKiXM9KtfeVlsUJJzr28WhZnqG46GpgwKjzXGUcn1l9sOu8z/U99mvNUh/XoQNH2ZgqalrdXa/UuHWnO2wLbD1QKxegX9hx3R43j1wxvVYbfNLuijb4wa1cnm9mBJ2xsR5TMYWvl5sszBpimuOxQvtWYAbAQRVraenR5qbmy+bf7CTPBAw7P0XCgXJZDLS29ub6DkdSleXfQETlb4Y87sffWtTvb1K0QOC3tuut1apqog+D2JWQ/TH4wSarX1ln4L+n2f9Z28eenpLOiHE83pwKqDYroemgstD0//vhIt0Qobf9dPfrvB8fnm9Ih81UOqVDnV9+5GNTuWsdmufK9SoIKCeN2rB79UmqJ53t9R3yGfj7gqDV2VE6T8xXVHpP+E/R+F3kKDfDljmwYphqS18R0dHixb6SZ0rEkW58x9R0J4FEEBQxRobG+XJJ5+U5uZmue+++2TTpk2VfkiBkjgQMIrh4WHp7u5O9THEEXL0xb/Xycq9vb3Suv+AfOPpAzJzsXtI3XY7+gJJb11RVRFzHmT3wPTQ8JObp0PHL57b5fx/uTti3fX8/sDvl++p6Fy+1/vHPgp8rplBJI4tlvXny8DIp0XtVrbZI9sObvrHLdv1nmuWRX+fWRlR9AqJb3tUGTtglXsCuqr06BWHK23+Iyzas3A1I4CgKk1MTMjdd9/t/KM8Pj4us2fPviz+ka7ELzJ9sDztU9mj7r5loy+uzNaSTCYjbW1tMjw8LMt2vee7CPNqUYm69a7+/65D5pbtKGuhGnbR9t9/vLjii/nL7Yp69kcul5MlTeWHD7Napj+31HyF+VwLqn7ooUQtju96fn/R+3Re4dsm6LBCr5ZNc5C+HHoQ+fW6A67vV9qSmv8Ia2JiQpqamuSpp566bKr9QLkIIKhKPT09cv/997vetmjRoljP7UhKb29vKvejetvNHa3SnkOJo+pj649XwUPd9ujpM3JLfYfMXLxf5q56p+g2/Kof5tv1hZR58KA+ZL669Zir5/17Txe330S5bH37Nis3vlXxBf3ldi1pfDPSc27s/IVYqh8d73/oCpj67ZrbOquwYQsaepXODKr6bSzeetAaDvQqQtDzrNQdsJI4qbxQKDh/r3+3MZ52zqiSnv+IggCCqwUBBFWpvb1dnn32Wdfb7r///ssigCQ9B+IVPJRK7MRVTtXFHNg1g4cSNIDr9X7bwkzv+x87f8G1INzZfdT16rD+ana5i9Wgk6mV8s4EuTqvMO1XulIPHtSvWQ1tRc8v/Xb1PwdVP/ye32pXNzUXYttmWM0zzWoIPhA1aMcprxcxog6gh6G/GLCpc6ikLXzLleb8B4BJBBBUpfb2dlm8eLHrbZdLAAlzHkcpVJtV0G1XYhC+nKqLviDbtMd7fsWvvcSv/cRcmJkfa77ybL46HMer5F6P289P7ltW8UX95XL5DZ/b2M53CXvpQXR16zFXwHAdYrnjsDVs6JshjJ2/EPj81Z+fP39xn/N2vYWpa2C6ChPmEL+gQXKvFzHUzllRn8t+bPMfUbfwLUel5j+Aqx0BBFVpcHBQFi1a5HrbggUL5NSpU5V5QBHF+QtNVQTChppKDMKXE0Ae3zHgeoXYJuiUZK9Xj4MOHjS33h0Y+dT1Kq/fCdm2M0L8rqhDu4mcCXKFXm+2Hgr9fS2n9aqmrtV18KD+vFzdekzmrnrH9VzWt4u+eKnguUW0X/VDf9/a7e1FX0+hUJC5z7a47ifo6/d7TvrtgFXuALqNqu7Y5j9yuZx0d3cnuptfpec/gKsVAQRVa+HChTI+Pi4ik32xCxcurPAjCi+OAKIqHqWEibTbsEpZIGSzWent7XX6v/32/9d7z21Ds16vHtt67c2PNQ9kUwuiOctaXPfr90p4mEs/6Tqs2b+hChJ02c7+8FNO65U+H9Sw97jcu6Xf+fOi1e7KiL6rmqp+6K1/etDQt4PWmZURW6uQHrIf3dwROM/g9RgUr00l9DBeynPZS5hQo/4ttG3hW65qmv8AriYEEFStTCYjCxYskPvvv18WLlxY0e1toyp1ZyjVvuU13xFWW1twH3icony9+tdnOy/BRq9KHDlyxPW90RdGenXEHDQXsVdS1AFy81ZO9rWrYFG7tc/3jIh/empfpMVr2PkPHbMgwdfKjW+F/n6W03p1S32H1L46/edVuw85/z+/sdNZSKtWP7P64dVmZavSKeZ8ie3vmBmybdvcKmF2yvLaASuJrXLD/v1X/L62UjH/AVQGAQRVbWJiQsbGxir9MCKLOgcSNFgeVdpb8ebz+cCAaAtWerDwW6CbPevDw8PO1+i1M4/t7fpBbaqSogcOEXHev+bgJ07Pu+2K2sZT6qKt8gcTVu81+zfPhK5+lLvr1ZJt7zqff3vDXuf/a+paXZURs61PbRft1WZlq9LZ3jcyMlL0d8yvncq2WA/ayEHEe0EeNLheiqDduLzoX1s5/14y/wFUDgEESEiYuQgVPOIeHM9kMqlXjLzavvwqOmHOLfA6pDCXy8nAwIBrhkRnW9zYQokeOPQKiX7+h7ruWN5e8gI26GRqL1RB7Nd///FiGfssfNAup/VqVkObK2ToQUZf1KtNDcxqSJjqh74jlvm+P2xot/79CRMo1CL7/cEPQv198/p3S4VxdZJ7HMzzUqIqFAoyOjoqw8PDJc1xMP8BVA4BBEiI3xxGJpMJtaNVqQqFQqKDmzZm21dQK1nY9gu/3vNCoSD/smpyUWX2z6vqir64WXPwE+e2RNw7DO06POI6oG3jW+8ULURX7ugqeRFbTt/8Cxt2VXzBX21XlG13y2m9Uotu69tfH3QOCJy5eHJXqyjVD31HLL/qR7kHD5qP4eCQ92Yetn+3/M4oKUecQ+3ZbDbyzlnMfwCVQwABEmKbi8hms5F2tCpH2gcSqoVL2BkWfb7Cr/0iqE1DtVD92ytdrsWEPkxu3qcKJWa40e+rbktHrAHksY1vy0SEYWnTm62HKr7or5brhQ27Qn/fym29urV+j/Xza+paXYcQ/n59u3w2fq4oFPgdkKkHHPMxBy34w1Q/9PvSH4PXHIXXDlj6iwVxDaAncZsi0bbwZf4DqBwCCJAQvQoR9gyPOKUdQEZGRiL1ZKvgEPTqrblLlUktYp5pOe66f3O2Q6Q4lOgVj5HMWddMyr+9Uhw2ntxc+kK2Yc8H8sYbb5R10jGVkAfk5394LtL3rJTWqzA7nO0+POoaNP9s/Jws3nqwKBTooVZfaHsFiHw+L3/YMN3qZ9v1rZzqh7ov24yI12YSpc5q+EniNnW5XE56e3s9h+qZ/wAqiwACJCSfz0t3d3dsg+VRef3iTeJ+hoeHZWBgIPTcid/OPyZbkFD0mQ3VxqWCkK29w+xj12dCPvp4xNkRa86yFldAUh/zwJpdJQcQ9fiHhobkjTfeiFwNUW17jy1/reIhoFLXk6vekHw+H/oV7lV7+iP/nH62ojkwlNy7pd+1qN984ANXKJj7bIuzkLedUO45EzIwIB99PBIYLvQtflWbl5egsKIHEa9tbv3O6iiV+ntltk7GTf37ZFZ8mP8AKosAAsRM39Gqkq+wJT2IbrZaRZk70Rdvfq9+6m0qtqBiVjCU/zybtX6eGWbUTEhNXavk83nn/XrPv/5KrQoopVxqm1+Ryd3dwlZD9I0KlAeXbqp4GEj7MtuuVKuNV7gvJXzU1LVaD5ic1dDm2vUq99l0q9XcVe+ISHGVIZ/PyxsHjlifh+b2uvl8Xnp7eyWfz4dqrdLnQ4KEbdUqFArS29tbtFDXXyyIa/7Da2OJJJkVnyTOFAEQHgEEiIltoViJ3ah0SWzH6zfjMTISvJe/SPj2Kz1g2BZPXm0c+mzH6x3TJ06rt605+IlkMhn5VeM+1yu76v369rv6AqycAGJ7pXdoaEgaGxut1RDb80l3NYUQv5kPVfHSF5OlhA+zyqGHEv350PVhzjU8PjDyqWeVQQWFW+o75KOR0aK319S1Fr1Q4XUooeK3c5YpaqtWb29v0UJdrwCOnb8QeBthJDX/EYb6+lTgA1AZBBCgTJlMRrq6ujwXimmfyaGL80DCMMPlYe7Pdhigl6BzQrzmQ/TgcuKjERkdHZXR09NtK09taZVMJuM6hFB/XLOfmm610qsw5gK1pq419InoXq9WT0xMyPbt22Xnzp3O21RLW5CrIYSEGTjXF82lhg+vSz3HZi6ebL3SF89qUb9kx+GioGwGBVWx2dc7XZH4Y1O36+9TmNbEoN2xdLYdufzoO2AVCgXZ0TH9dS3ZcTjw88MKWwFNinq+ZLNZ6e3tpRULqAACyFVuYmJCBgcHRURkcHBQxsfHy77NwcHBsnb7uVxks1np6uoKrHCkfSq5zm8r4LCinMwe5v6iLD6C+sS9ziYwKyOFQkFa3nmv6FVXvSVLDy3qdlWwUR9nho1b6/f4HlZoXn4ymYw0NTVFfmX2yZV/qXhIqGT40K3Y/V7on0WY66GN+12tVxcvFVwBYOz8BdeOVbbqhxkUfrDibc8AERQuolQ/ROzzJ14KhULRv2V6BefosQ9ia1kyDxZNmzn/kclkIm/hC6A8BJCrXGNjozQ2NoqIyIIFC6S9vb3s29y0aZPcd999Zd9ONVJzDlEGyz///POK9Rp77WoTRtSvM+z9RVl8BPWJe71fr5yoVqZNnUPO4u3Mp2ddn7/m4Ceu0KJvESwivlWOKAHE6zR0tWFBPp+XlpYWaWmJNph7Je6OFTV8xF35mN/YKfdumb7Nrg9zruFvFQDMdiwRd0VEDwr6eSSLtx50tY6FCRd+54ZBMhagAAAgAElEQVSYogyqi0wuyvW/u+bjUX+Pyp2dqMT8h8lrg44oW/gCKA8B5Co2NDQkCxcudKoVcQUQEZGFCxdKR0dHLLdVDfL5vBw5cqSkHa0qOQeSzWYj3Xc+n4+8na5pYGDAs+0sSvuVPsdhO6jQ77bUEPlty9qdRZUeMHoOvy8ntZasLYdOu0KLOdwets0q6DJPQ/ea8xgfH5cNGzZEqki++tf2ioeGuK43Ww+F/rpF4g8fNXWtrrBw75Z+uXip4Np29+Klgut+a7dNtszpnzd31TtOUOj98D9cJ6SPnb/gah17fId/uPA7N8RGf6xhmIty82tVyg0ierD5/9l71+c2rjTN809x7JedcCgmYje6usOKmJ7o6IZnPd3s6p6WMNiKXQ+mZU63l83qtlw7g1BLatIlFMtNSZDblMyCyZJMFIWSWCRNEwJFXUjxoqQgmKLLEEkLWpUIjFLUesUIQfgH3v3AOcmTJ08mMhOZiQufX0RGCNdMXASeJ9/3eZ9a+SV+USv/o9YIXwBA/UCAtBFLS0uUSqUMmxnd3d00NjamXRYFyNLSkiYistksqapK2WyWUqmU9jhVVbX98G1X2WyWIpGI1y8xcNgf20KhUJdh0YtWKD/3zU/u8sKYWSqVpB4GXgSYVQPs3tdsIbOzsyNtzeIFBhHRXG4vRG7m3rouI0QMKHRS5bDaTo8va8eoKErNalE6nabR0VHL+/A8fLRFv/8XsYYLCLfbvwp94Eh8VCoV6vnVbU/Fxxuxa5S9+42h9eqDi3d0FYWriw+1y0xQrJe+1z2OiYz5xbv0g4+umy68Nx4/pTdP7AZfmlUGnQQP8gLaTquWmIkhq/SIuBUijfZ/ENn/PeZ/FyFEAPAWCJA2QhQgkUiEotGo9L7lcplCoZBONPACJJ/PU0dHh3b2vKuriyKRCCUSCRobG6NIJEKxWIyOHz9OmUyGOjs7KRaL6fbR0dGh+UtaDa+DAxvpA7Hat9fCQ3zulZUV3fM6ab9i5l+zM7h8hgcTKFtbW6QoiraY41s8RMM6v0i7/+2mYUQvu+3crcfS6VduRck33/2OFEWx/X6rqkpDQ0O2AwxfVSoUevenDRcTTre//2iYys/sD2zIZrP0xz/5zBPBwQ8dOHl50dB6xYuPw4kZqdAov3ipG+GrFJ5QqVSi1dVVipzbmyT1+fWv9Z/X6yq9c/qmdvvw5E3D747TaVZOjOrsN4AtsPlKz8HeaduPtytEms3/YQdZaCMAoD4gQNoUJiDMWjgymQyFw2HddUyAFItFnfgg2hUgvMDo6+ujjo4O7fLc3Jzh+bq6uiwrMM2M1y1TjSzly9qh2Bn4IEISWUsW30Ji56wsn8khg69o8H4Vs+wQfuIVkV7AZG/O6wQHv/+jlxakAoT3ibDjsLPYZa06TllaWnIUYHj3/m/pP/xNX8OFRa3t9/8iRnfv/9b2+6CqKiWTSfrTE194Ij74z/ZwYoZmvylpl98bXta1Wb1z+iYVik8NQoOIdCLi8+tfaxUu/vHvDS8bXg8vbvgK2crKirZQdlL9cGJULxQKhtHZTidnMewIEf7/ZrP5P+zAhMjDhw8xwheAOoEAaUNUVaWOjg7LM6apVMpQHQmHwzQ4OEiRSEQ3EpRoV0zw7VqpVIq6urq0y7lcziBAYrEYDQwM1PFK2genXgwv4T0oTHg4OQPvBaVSif7r4JeGioUZtQIIifZ8Hn/ys4zutfDeED5jwCyE8I3YrtGcLSqZQOAFi0yADH55R3fZyUhet3kKTgIMGdfvrDZlW9bv/0WMPk/fdFz1GB8f1y3a69ne+1QfMHj66rzu8omLe5WLg73TBvHBqhm86bzr0wlNDPNiQFZN4P0isooAM0WzY7KTGm6n+sHEgvgb4LTSYvXcMiHSCv4PO7BhJBjhC4B7IEDajEqlIhUQIqKAINoVIKFQiCKRCPX19elu6+rq0vlD7AiQeDxO8Xjc7UtpOxqVis63DwQtPHjYwkjM7JBRa6FSLBbpD3q+0gkKhlk6ujh5R2zJYoLmj3onqFgs6iosfDI6f7ZavM5uFYRPRXdDPp93VA15VanQlelF+g9/00f/KvRBQ4XHH//oOC3fc3b2W1VV6u/vJ1VVPRMfJy7O6KoW/9eFjO52vsWOiQ/+/qxawYuIf3tqWmufKr94aWjT4lkvfW8pThj8/4Wz19Ys3yc71Q92EkJWBXBSaamFTIjUyvUJAq/9eJicBYA7IEDajO7ubm2srhVjY2PSFqyhoSFSVZUikQglk0ntNjsChG/JYo9p1RYsP7hx40bg+2SLgNnZ2Ya2DPAVjR8PTNb8Y22WcL6zs0PT09N0/+tV7XaxQiJ7rKyiIrZk8Y/73dMt+snne4tRJkDeOjGuS6qux5zupL1FRqVSocHBQVpaWnL0uFeVCn2evkl/8TcfByY6/vJv+mjo8jVH1Q7GyMgIpdNpg8einu2vP5nWJXzzwlFMPmcGc174sFA+scLBRIbo67i6qF/0iq9lvfS9/LMSJm+tbz6ybJusmSOiKIaWK35f9VY/ZPBCpBX9H06ee2FhoWGVbgBaDQiQNiKRSFBnZ6ets6K5XI5CoZDuOtGEHgqFNA+JHQFi9Xxgtw0rKBEgmssbIX54+MU9M+eurKyY3p+fSEVkHFcrTqniEaddEcnbssSWrOW1vWNcXts0DSbkJwTVI0DshMPZIZ/PaycO7MBP4HpVqdDd+7+l/sHfeOYX+eMfHae/7DxFJxO/puwtRRMd7PtoF+b1UL7+RtfiVO/Gi0hxO3Bsit4/n9F9RuUXL3X7Z4tnscLBiwj+/rIEcV78iKZ0Hl708Pdjo7L5KoZV9cOs5YpHlubuJb97umV6fEERhBcPI3wBsAcESBvx7rvvUjgcNmzlcll6/0gkoptS9f7779Pc3Jx2OZlM0vvvv09ERB9++KHutrGxMerp6dEu53I5nadENmXLD4aGhrRWr3g8TmfPniUioo2NDUOLWaPZ2trybKqWGWZTrRr9x1DWfrWzs0MLCwvSRRFb2HV/fkM6jUw2AYshtlYRyduyWAWEiRy+SnLu1mOdyBFbabxaDNdbBeEZHR2tGWDIpoRZLURL5f9OpfJ/p+wthc7+cob+viep26IfJugvO0/R3/ck6ewvZ+jsL2fo11PztHzvAb2q8f9dNFebMT4+Ttlslq4qjzyreoifpUwQnkztjfR980SW1h5+p2u1Y61SfGXijZi+wlHL11FLnDD4/cqeR5zMZFb9sGq5YpiluXsJ3941PHmz7kBDN3jh/7DLzs4OPXz4EJOzADABAmQfk0wmDV4PrxgaGqLu7m5fnpsnHA7T6Ogo5XI5bSPaFUTNJkCI/POB8BUC2eKykWGIRMZqA4+4IOWrFQNTd6XPJxrIeWQZIDLBImvVYo9lbVn8wpP9e+beumdjefm2HS8wCzBkrWvNMrmHjacVF2b5fF6revCp316LDdnnkL5xT/e49dL39M+js9LPih/Ty7wgRKQbzyv7bPnsED6kUKSWeZ2nWq3S5aw8ed1O1gyRviJj1g5WD3y16E/P3KRqtarLWAqKRuQxYYQvAHIgQPYxzOvhtIfczvOGw2FHKc5u6ejokFZ4RAGSzWY9f51u8FqAmCVpyzBLJw8CKwFCRFpL1s7ODg1M3TWIBRFZlUPcFz/mUyZY+JYr1pYltm/xo4CZCPnzn39Jo0vfGRax/H1kwsVs4xewXjE5OUmTk5O2Aw8bAb8wY+1W2WyWPr/+tW3h4JX4mLm3rrv/eul7Q9bH7bt52tnZob6JnHY/vlogVkXENqZapnSn9+NhAuLNE1n67bcFWy1XDF7suB0RXQtesH0yqm/LdfIbVg9++j/swL7vVq2nAOwnIED2Oaqq0smTJz1tlRocHAzM+xEKhWhyclJLZ2evgxcgLCjR73YwO3jlA3HzR7uRYYi1BAjRrjibnp6m//zJnunWDFmVg8h8fG+tyVhs4SXejzeq8y0xn/5qUpdszRayvD+EvQY7IsSPnvvl5WU6c+ZMw6av2WVkZIQ+++wzuqPc97zdSiZKeKEhEx9XFx/qRAD7fFZXV+mjL/RjefnKhJWvo5Y4MbufaF6XwQuI3okHVCwW6caNG7YX23zrlpfVONnxHU0ppt9Hv4VIo9tQAQB6IEBAU1OpVHQeD7YxgRMOh6mvr48ymQz19fVRZ2cnEe15UvL5PEUikUCqMXbY2dmp6w9sPX+kgwgdNMNKgPAhgkREf9Q7YTi7LCKO1GXw7VtXFvdaO/ged16YMLM7M4Tzvo+ryiNdRWRxJa9bSMlahGburbteRHtVCWFDB9j7mU6naXR0tCkEOA+reqxvficdaez1drB3mv6qb0x3eXlt07DgFydUnR2bJ0VRaPHeXmWG+UMY/PF/cPGO4bXKwgZl2L0fD/89/PX4lPbbYGc8rJPQQrfwU7w2v3tUsxXULyESpP8DAFAbCBDQ9PD+DrZtbGxI7xuJRGhubk4bC9zR0WFrLHGQuJlI5dUfZUVRGuIFkQkQUXgw2ILox5/L3yczkUFkHWAo+juISFexYGd/+aoI7xP57bcF3WKP77vnF7U/HnA/GetwYsb1WWir70ilUqFEIuEowNBP0uk0jY+P+2Iyl21iSOQ7p28axMfp8WXD+NzYL76k1dVV+t3TLUMFg31/f7O85+twEzbIqGU6l8EL6x99MiM9wWAlROyEFtYDbzz//PrXVCwWbf+GeS1EGuH/AACYAwECWhrR/xGNRimTyWgCJJfLUSQSaZqFF5EzH4gfZwNLpRIpij+93mbwAqRYLFpWY5gAOHFlRToly2oEL5FcaBDt+TveiO2ZzvkFHJtIxdqu/uRnGRq/vdfvv7y2qbv/0ZQiXTy/dWK8Lg/DgWNTjluy2HSrWi0mTgMMvUZVVfr44489M5nbFXX85/TO6ZuGRHNWbeArEJ0XZrX/d3x7FV+Z2Hj8lN48kdU+N1E82jWTz35TsnU/HlEs8a2FMra3t3X/7/h9+lH94NvY3jl9U/MjOcWL38BG+z8AAEYgQEDLoqoqhUIhTVxMTk5SR0cHVSoV3VjgZmvDsnMW0O9+aDYONaieaCZA/o/EVzUrMKK/Qza2lS2czt16bHi8LAeESG46J9prEWH74w3ry19/a1h48gtn/qw1397Db26zQqxGtDJ2dnbozp07jlrrKpUKjYyMBC7Kx8fH6eeJAeqdeBBI1eON2G7oJb9If2942VR88ONx/+qTW9p7yl/Pt1eJAuBfruh9F3wrl5gTwuPGdE5E0mBEO7AMEf7Y/Kh+8Mbzr+7kbAlkK+r5TYT/A4DmAwIEtDRLS0vU3d1N4XCYurq6tMXtxsYG9ff3a/dLp9OUTqcbdZg6qtWq6R/RoCbCsONgk6f8ZGdnh/6g5yt6I2ZtQmeICeVEZAgulN2HwRvJl9f0bVii6ZxoT1AcOLbbP/+LK9d0j2c+kTdiu21afBWEH8drVhGRTceyu71z+qZ0QerF94SNvPW7GlJ+8ZL+3Y8/pv/lJ6lARAcvPvj3/YOLdwyigYkPXkjy43H59ilxbK5MALB2p52dHVthg6LpfPYbe2fp3bRr8Vy4tudnunDNeyHKV346L8x6WnF1892H/wOA5gMCBIAGIPpAghQeIoqi+NKewL8mO1OwGKyCIY7Y5YMLzaocRMZAQR7RdE6kFyzzqxuGx/OCgz2Or4KwBSTLfZC1X4mLYSfbgWNTuoWp3XYrO1QqFRocHPR8RHX5xUu6qjyS5qV4vR3snabomXHd+/X59a917/fJy4sG8cGqGXw2B5/dsV76Xno9UW1fB5+mblWdMMsTsUI8XqfVi1evq7qsEj8yKvjqyv9T9qfy7OQ3E/4PAJoPCBAAGgD7g9hI4cHD2jK8QPaanAgQ3vgtY2VlhX45vaDdR9b7blYhEU3nOzs7tHJ/bzHJjOuij4Q/43xVeSRNSWdnusVRvGwza9Gyu528vEjXb837UrHK5/N09uzZutoUX72uBiY62Hbk/KyuxU022er0+DKtl743VEOI9J8r3/40+01Jd3++fUoUJqIA4AXCvz01TQvLcrHI7/u9YXvi4ze371l6TuzAG8OZ14hlVHjxOyQaz/2GtSGaHTv8HwA0JxAgADSAYrFIs7OzDRcePG5NouLjZc/hRICYZXbwLD6Q+zkYvOGch69m/PTiV9r7LwoOvi2LIVY62EJbrGxcXXyo8w14uR04NkVHLy3QlcWCaUhjPYyOjtLk5KSjx8zcW9e1qQW1fTh8U/feH+ydphMXZwziQxzx+8HFO1R+8VJXDeE9GuL9+UW0OKJX9HXI/Bxscc8HgTo1ne/s7FB2flmXPeMmO4avfsgqN8wb5nbBzj//O6dvunoOt5RKJakQgf8DgOYEAgSAAOGrA80kPhhuzemsLcjs7LwTAcJXF0QPB49ZFgiR3nAuPsfv/dNX2tlzhjghi69isIWeGKjG7+Pk5UVdJeT0+LJuoWo2FevAsSnXJvU3Yrttal4LElVV6cKFC5bVkOW1TTqaUjxJLHeziVWWg73ThmORtb2xCpUoXMovXtKr11Vda92BY1PaZDQio/hwGjbI/CFr6985Mp1vbW3RzPVZy33bRVb9kGEnQ0QG//75Ea5pB1GIwP8BQHMCAQJAAMgqHo1MJrfCiTndLMtDxIkAscry4GGL0B+ezhoWSjIfCDvW7i/uaos/hihY+DPZfP8/v8DiF7IHe6dpvfS9bhH844FJ3XPwPgV+e+f0TQr1XPFkYc4LknomG716XaV/ufALGkjvvh9XFgs0PL9parT3YztwbMpVpsrB3mmDqGOfoVjdYP4MUVyIno/Zb0oGgSliJ0Tw1euqJoDfiNU2nTN/ltkYYCfw32m7xnUnQiR9Y0U7RrstZX7ChMidO3cafSgAAAkQIAD4iFWrFd+S0YxYhRbaFR4MtiC0I0CI9qobsjG7DL5qsb29bWj9YgLlz3/+pW5UrdmULHYdq6jwRmM2NYtfqB7sndZVSq4qj6QLWfbvw4kZ3XMGsb11Ypx6Jx7QlcUCLa9t0sy9dRqe36Rztx5T78QDOnppgQ71T9Gh/qm680uaYXvv02mDQDo9viz9XFh1Q/R7vDe8rBMfomiRCQC7YYO8kPjHL26Zmr/58cpmY4CdUk91QswQ4alWq6QoCv2bj/aM527DNL2mVCrR6uqqpUcEANAYIEAA8AE7Ho9isdiQVHIniKGFtUIEzWBiwK4AYffn26RERK8Iax9jx8bnefDVAL46wrdvsX2+fWrPA8Ev2ljbCy86+FYrVgURF7vi4lUpPGn5hX4jN5nJ/WhKoRMXZ3TXsSqGWcsVUW1xwS/+xWlkDLthg/y+mJBg1Ub+d4K1MxJZjwF2Am+cr6c6wYZVMNHEhFLfr/a8KX6EGrqF93+YeUQAAI0BAgQAD3FqLm/2KgjRni9kdnbWtWByKkCYqVmW88GQpZgT7VZuVlZWaPDyXhuO6AORiQ1++hZboIphcux6vsVHnKR0dfGhpQg5nJih9I17gbUytdMmvmcHe6fp9PiyrrLAPpNCoUD/MHRDKjDs+D14k7rYkqV91wpPbIUN1hqdy0ZMr66uau1OorCpp6rAvz/1VieYqf7hw4ekKIphrG8zIfN/QIgA0BxAgADgAcVikaanpx3/UWtWHwiDN83XE1roVIBY5XzwsMUfa5FirWHsLDJbdIlGdZnY4M3v4mKUXwiK1719atLQWiVr+xG3t09NagGN7LX+9SdGM/V+3w72TtOh/ilpa5WsuiGrQv3eP32lfaa1/B7i7WZhkFbTsnjsJJ2z/2fFYpHu3LlDaw/1RnUzYWMHXsg4SUy3olAoaNWQ/zw4pz1/o4znZljlf0CIANBYIEAAqIOtrS2anp52XRmod/StX5jlk7gNLXQqQHiBYNV2wiolf/KzjKE1bGdnh354ejczQaykmIkNWbWDSL/YZIs4MRtEbK364OIdKhSfGqZhWQmMA8em6GTqNp1M3d73QoRVN0ThwSaQ8RUM9rm8el2lz69/rXvv3jl9k9bWv6OFhQUaX3mku030e4iPNVuwi2OW7SadyxbofMsV0a5g4Y3qVxfrC9Fj1Y8Dx6bqGkzA4Kfd8eLmLz/+su7n9hK7+R8QIgA0BggQAFywtbVVV0sSTzOJEDvBiOzspxOcChB+KpVZFgiR3udR63Zx8SVWT4is06/5NhYmWsRsENnZczEY7+8Hr9nKCXn71KSpYGHje1tdpJhViH48MCkdtXtVeSStelxVHtGr11XD+8p7Omr5PeyYze22Zsm+M+LzMfM2L5rFtHZmVHcLP5mrXm8G+23gj5cd64FjU7T28Lu6MkS8xmn+B4QIAMECAQKAQ7a3tz03j7vN3/By/yxE0M4xOBVNTgVIrSwQtv+v7uQs78cLmd/cvqe7jZ1BF/vWReMvQ5yAxQzO7L5MyLx6XdUtPA/2TlPq2oIuRI6lc4veBSfbgWOtO7nqUP+UNBn+aEqRVj1YS5tY9TiaUqTC72DvtFZtePW6Su8N6306Q9f2Knni7fxjeey2ZjFkpnP++ysb5sALBlZ9cRsOyO+/HgM7Owbx/zv//4QXN24zRLyknpM6ECIABAMECABNAluUBC1CnI7UZTgRTU4FCNHeWFwxC4QPPbSTGcIW6N2f39D5WHjxIFZZZC1XRPoEazZuVTYpi0jfpvPmiSydvjqvW8CyliGl8KQuIeLF5qWI+dex30ivP9g7rU2rMmurkl1ffvFSZ/Zmz8WqUKL/5nBiRjpEgD2O3VYqlWjq1rLp7TxXlUe2WrO0+3Omc3HxXygUpItj/jsnG+XLFvZ2/p/yz2Unad0K5vXgsWM8b5QQKRaLjiu0MiBEAPAXCBAAmohqtarLrPATt8KDx25ooRsBIiadmx0vm0hlNrJXnHjFfCy8kVx2htisfYZf3MnM5ocTM7Re+p52dnboo5HrusWxLJ37cGKGlMITwyKXLe66Pp2gPz1zsyGVDlZlsUprP3Bsio6cn6UfD0xqnhzxNcgM42/EdishMj+HVVsVEyUv/j9jRYT/nMTwwPeGl3Wf8Xrpe0P+h2yhbqc1i4cPpOS9RLKWK0atKVk8bCCEmfAXxUc9U6/Mjpf/TGoZz734nbGLoiieTxaEEAHAHyBAAGhC6pk4VQs/FgS1/vC7ESDsMf/np9dpdnbW9HjZopcfqcsjM7QXi0VSFMWyTUYUFnwGBH/9eul7Wi99r+vdfyN2jT74xa4vRVzovn1qUrqgZwb0v+obM4iN/3Jugi6OZymZUejopQVTMcLEwJHzs/T2qUktgd7PzUqcyFLJ2fU/Hpik3okHpu1WZ6buGwz8rMJ0f91YEeEnRbnxe4gDFmSjemsmlwuVGrY4N2u5Yt8Pfh92BAMbhStWJkQh41Z88EGIstfI9mE3UZ3ImCHiNWZiySsgRADwFggQAJoUr/+gshGffv2RlqWRM9wIECYs/qh3wvJ+tSZm8T6QmXvr2vWshewvP/7SdKFqNkKVv55f6H3wC/1C+53TN0kpPJGal9M37lHvxAOpmLAymLOKRCvniMiO/cj5WTo9viwNGmRtVTIfCD/JSub3EEWD1fjcUqlEKysrtPbwO1utWXaeV9bCxH+/RDHrBCZsSqWSTnzUk0bO/BNmQoGfquV0H7xw8lKI+HnCRgRCBABvgAAB+45KpULlcll3XT6fJ1VVG3RE5iiKUrfhfWdnx7OJXXb2JWsPcSpAFEXRQuRqZYHwAkNmRCfaa+fiJ14R7S6I5hfv6gzi4khV3vfBL0R570H3F3e1M9wyc/nJy4tUevZcZzI+cGyKlMITevW6SjP31n33gTDhcqh/iv633qv0h/84Sof6pwKpktgRIzJRcqh/NyBw5t66VJjwgtEq8ZxIPsFKtuBfL32vG4MrjuoVEdvEWKWGLbbNFsbiiF6zUb52uLZwn948kdX27zY3xOokApG58dwpXgkRq8qS3zSD2R6AVgYCBLQdlUqFEokEhUIhg9BIJBIUiUQoGo1SJBLRREc8HqdMJtOIw62JW1OlnZG6fiDzhdgVIHx7mN0sEKI9w/q5W4+lt/OLV1kbzfLapm7RKS7gzAzC/Nl4sXoiZkqw6UrimfLDiRkant+k0rPn9Op1lc5M3a/ZYuWmvYqN7j16aYH+8B9H6X/6yYTtx7L92fGh8OODze5/qH9KGi7I3ifm85D5Rt6I7flAiIzCg4kG/jtTK3yQ/8z45/nwsy8tF5hmz2tnoITViF4n8NW4N2LX6JPfzLta1NdqoxSN515kitTzG9WooR0iECIAuAMCBLQd/f39lM1mDQIkn89Td3e3djmRSFBfXx8RNbcAIdr9I2d3rGSjhIcI30JWS4AUi0XDmUy7WSBEtY3o/ELRrHXErK2KwZ/lPj2+TIVCgRaW7xpGs/Km3PKLl9JqyOeZFdPWqzNT90kpPCGl8ISOnJ+V3o8Z12fv3KWvsrM0c2+dhuc36eilBTpyftZ1VePtU7tG8nO3HtPHI9N04uKM6TGIj4mesTarsxarP/yvw5bVDtZmJd6HFyZEcuHBDO88ohndbIKVWQsVa7kRz7LPflMyDB8ov3hJq6urNU8Y8N8l0XvkBFEAXV186Li6UKtSIztmrxPPnY4abqbsJAaECADOgAABbUelUiEiMgiQeDxOY2Nj2uWNjQ2KRqPabUyAZDIZikQi2vM0C7X+6DaL8OBhoYVmAoQds6w9jM8C4b0bMswyPXisQgYZZu1WDL6F58K1PBEZF4FsMcpXUWTVkGRGMfWAMKF09NICJTMKnZm6b9mixaZVybZaooNVVc7dekznbj2WLv5lQmDwyzumng3t+FMKzdxbp6vKI+n9eFFRKD41+DvYfZgwIbIWHuLnZTdcUMxtkbUw8aZv2fPabQfyKp9D/N6ZBR1a/R7YrSK4NZ47xc4ivhnFB0+pVGp4VQaAVgACBLQtogCJxWK6Kh+oDwYAACAASURBVEe5XKZQKEREewKkWCxSNBptSj8IkdxjwYcINqIXuhY7Ozv0w9NZnQCxK5bYoscs44PBZ3qwfAgZtbIWxPvwQYQ7Ozt0+27e1DQsa51iWR9E5tWQV6+rVCg+rSkyDidm6K8/ma5ZkfB6O9i7u8+ryiO6tnCfhuc3TSsdTFAsr21qgkJ2rKzaMTg4SOezq1Jxwu7Df8Yy4fH59a8NwkO8r9kEK7utWYzfPd2i6MB13fNeVR7ZXsjXErh2Ef0jVi1cZot6J1XVeoznbjA7ZnZCAwDQ+kCAgJZjY2ODurq6DFs2m9XdTxQgXV1dlgJkcHBQ5wtpVvjFTpAz9uuBr4CwIDY7x8zO4LMsEDNkKeVmiK1Ute5z8vKiLjzOqlVLlltx4NgUnZm6rwkRsRoiLo5fva7SlcWCpdBgfo7DiZm9ysWlBTp6aYHeH5qnvx2cpT/4u080rwW/2amSvH1qkk6mbtPl6du0vLYpHZcrEx3Mt2E2epdVO169rlr6O/iWOzPhIROaZvc1q3aJrVlW1QhRrPzgo+u09vA7UhTF1qLYLB/EKa9eV3WVOLv+kVKppP1W2D1mIu+M527gf9/8yPgAADQOCBDQttRqwSqXy9TR0aHdFolEqLOzk5LJZODH6pRCoUB37twJZLKVF2iZHv9y3dExs8cd6reehEWkbxPhKxcy+AWc2fQh/j59V5d0t/GLMpkhV1btONg7rQkNcVwsq3AMz+9WDvjnUwpPqHfigWk7FWvVurJYoCuLBfrp5AM61HORfnJpnnonHmjC5Mj5WVMh4rQq8vap3QwPJhRkYYJsO3J+VmuhM/N3/OCj6xQ+M039A3v/97wQHrK2LCLn4YKyUMO1h9/RjRs3aGVlxfKx7HWbZco4hf9eufGPTE9PWwYZ8vhhPHfD7Oys7WMGALQGECCgbREFSDab1UznRERDQ0MUj8eJaK8FS1XVpq6CiBWPIOffu2VnZ4f+/cd7i0InZzL5RW0tIzqRMaXcjFr5C7J2q8u39VkOYquWzJirFJ4YhAgzkBMZF7biIv/opQWdKCk9e07D85u+j+yVbYf6p2h4flOrYBSKT02rGAd7p7X7EpkLlIO90/TPo9e16lKxWKT3+4ZsC4/ltU1D+5aV8JCNzK0lBsz8Hiwrg4X2mfkWxIpFPeN2+THO7w07m5zFjnlnZ0ebVOfELO+18dwu7DfOrwwRAEBjgAABbUcqlaKBgQEKhUIUi8VoYGBAM5RHIhHq6+ujsbExCofD0jG82Wy26UzoxWLRNA28mb0fzOfBezRm7q3XzBtgiK1VduAXe1aLJrNWKrHdiu3/zRNZ+vL6nG7xIy6qeXHBc1V5ZBAaLF+CLYrt+DreOjGuiZLs3W9sJaO/dWKcfvDRdS0DhG2sMnL00oLWxnXu1mMant+k459PUfe5K/SfPk7Tof4pOpyYoUP9U5YBiW/ErmmtWPzrNvN3fPbVXnZK+cVLOj2+7JvwED9L8TOXYRZqaGbsZi1O/PdDrISZTeCyAy8GnJrXzYzbOzs7pqbvoIznZpiZ+iFEAGgPIEBA25HL5QwbExOVSoUymYxW7WAUi0Xd5Xw+3xQCxG6IoBeBhV7Bpu+I6c9s8cfaqcxCC0V48WKn392JH0RspZItePjpWb/3T1/RryemtAWbmXiQCRFZxofoDyk9e05XFgvUO/GADidmbIuSP/i7T+hk6jalZ5akC9Pt7W2tVaj07Dktr23SzL11OnfrMfVOPLAlLsw2cUqVnfyOra0tUhTFUnj88ta3dOHCBd332o3wIDK2aLGRuXa+Q2wfaw+/q+m34hfHSuGJYZ9u4aswTluh7Bi3WQI8/9qCNp7z2DH1N+PUPwCAfSBAAGhC3PxxdRtY6CVWpnheSLAFjSy0UEatDA+rfdVqVem7ulTzDLUoVJbv6gWWWYCgmRARKycsPVtG6dlzmrm3Tr0TD2xPwGKVEvaYQ/1T9Ac9X9V8nNXzHerfHdfbO/GAhud3Bczy2ia9el2l5bXN3RwSydSrg73TdPLyoi6gb/He17YrHul0mgbS1zwRHnZErFitem94mX5beOho9Cv/nWLfK7f+CVF8OBEDTqujhUKBVldX6ZMv9/YZtPHc6ZhdpxkiAIDmAAIEgCai3rN6jZqRLwsSFCm/eKk7E85Ta6Fk9Vgz7PhBVldXSVEUXauN2X3553tveFnr/efP0joRIjJ/yMHead0Cv/TsueE4VFWlkz/t04kSt8GDTPyw9qzeiQd07tZjTVzw+y8Un2pCg4kaKzEkiolSqUQTmevU+dlszfsyvKp4sMfV8l/I/B61sjR4xJarA8em6KMvZly3ConC1674sJtJIuOZ+pzePJF1VW2pFyejgWWPRRAgAK0DBAgATYCX7QRBihCrIEEZ/Jl/cTFVq1WE74GvFUzI4Beh/P5EwSTmKpgZk3mhcvLyIj1Tn5OiKIZFj1MhYhX8xyoQrPrQ2XdRKk5eva5qiei8KGHignk9riwWaH51g0anb9Hvnm4ZXmOh+FRrzzpyftYy3VwmZg71T+l8IEREM4v3KfrZnOH+h/qnpJ+lTHgw8fnxvwyatkc6nYbFKL94qftsD/ZO0+Xbq9IEdDPEZHQmGPi2LCdcXXyoe1+diI96/v/z/88G0pnAFvReZXxAiADQGkCAANBA/AoRtOuvqOf53QgmvpIhO+NttXhyY0gXjeasj1923Ha8I6JQYR4OsSWLv7+ZEBFf/+fXv3blw+DFCV85sTpzzdqmzv4qQz+dfOBaaLB9slYsHiZkfvSJcWKXTKQQWQsP9nlUKhUaGRmhfD6vPc6t8BA/d/a4xXtfO1rEi5UTWcuVleFbRMwMkSWzy+AHKLhBFtTJFvR+DrrwI+OjVTKSANivQIAA0CD8/gNpN53ZKU6CBGWwBaaZiLAST04N6eJj3j33leV9xaRq2SJelvFx4NgUHRvO0vVb89LjNhMiZq1HpWfPqVB8SlcWC/Rnx4fpvYFrdYkT5gdh+R92H8+3ZpkJDaI9scH2YXac9QgPkXw+Tx9dyroWHkTGUMijKYVmrs86arnip66xZHQrWJuR2f9LXny8EbM//lZWiXMCLz5kFZetrS1fTmr4PcXv4cOHmJgFQBMCAQJAAwjqzBxr//BiX14JJl4QmC3WrMzp/Jl6O4vMYrFI/+XchPYYJz4AKwO7zMPxRuwa/egT+SheImshMjyvX9yrqkrJZNKQScMyOK4sFrQEdLcTrHih8b+fmaJ/GLpJM/fWDWGIPOUXL22JDTtCwo3wIKqv4sEQqxaxX3zpaDEsHoMTjwb7fym2HInVmKuLD2s+Vz1+D4YoPswqLl6OwLU7gMILMLoXgOYDAgSAfUA9Zxl3dnZoenra04WCOJLXDFlrhl1DOu9PEVunai0U+T74WpUWMyFilglCtCsihuc3DYto1tJ1fmiELv/6iuV+zZ7XSpy8fWqSjpyf1YzmYrijeHaeiY1ztx7bFhssJf2q8sg0PNJr4dHzq9vU0/+prQBRsYJ1sHeafjO7VHfLlRv4tixRfNgJLPSiyilO2bLT7sX267bi4oVocgOECADNAwQIAPsEpyLEzzn7spG8ZhSLRcPikF80yaoozFfDwwuXWtN9RMFiZzGoFJ5I076thAiRfFHNb2+dGNeEAzOSD89v0pXFgjapyotJRcwX8tPJ3QySWsZ4JjaOphT6eGyJkuM3a36/yi9eeio8xM9+dHSU0um06fMsr20aqha/Hp+y7T+Q+UVqtVzZIffgW/q9f9obk2ynvdBumKcV9Yz4JXJn+ParNdQJyBABoPFAgACwj7ATWMiM4H5mivDmcDtjdUVfCC8QeC9JrTYxfqxprbPW4mKzlpDgH2dmPDeb3qWqKv2nfzwrraQ42eyKFT6748j5Wdti48j5Wc0Lwr/nVoMD+HYtv4SH+F5euHBBVw2RJbJ3fTpB84t3A2m5suLV66rOR/KT5LWaj/HCtF2v+ODZ3t62JSoaNSbcDGSIANA4IEAA2GdYBRYGOTnGaiSvDLFnnK+i9F1dsj0OmN9vrbPXfAq6UyFi1++RzWZpfHxcGy3LWqiG5ze1Nio2paqevA8nGy82khM3peN6xTYaUdRYtWv5ITxEJicn6WfpOam4OvbFLUcLYb4lz26Fwi68+Pjg4h3LaVleebq8FB/isZkJkXoyPvwGo3sBCB4IEAD2IeKZSDtBgl7Dt0TZaXFi8K1kR87vhdrZXUTxlQ07+QrlFy9dtVYxzITIgWNT9DeJMVrf/M7WcYvPWXr2nJbXNusWK2JlQ9bOJeZYbG1t0aWrX9JV5REdTSm2RviyaVp+Cw+r5zk9vtwULVeMDy7e0YkPHnHqlFe+CT/EB0+1WjWEN3qV8eE3ECIABAcECAAmVCoVQ+BZuVzWbez2YrFIS0tLjThM1zAR4iRI0GuYgLCb68EoFApULBZpZvG+7qy6XfjKht19OwkXNHu8bGHMjOd+JU6Xnj2XihUzsSGj/OIlpa4t0o8/v0GH+qe0pGy7oqYWXggPs/f3YO80/Sw9R+cGf0k3btxw1HLFf9bvnL7p6WKdr6q8c/qm9LNgVT+ZD8oNfosPHraYX1lZ8Tzjw29YJRhGdQD8AwIEAAnJZJJCoRBlMhnd9aFQiLq6urStv7+fiIgymQzF4/FGHKoreBOmn4GFtVhe27TdDsXgp1spilLTkG4G/zgnLTX1CBFVVamnp4d+NbtC/+7n1wxCRObbKBSfGlLP/cSpP4SFEjoVNUTeCI/yi5d0enzZ8nmYTyWRSOgCDM1ev58tV0T6756Z+GAoikIPHz6sOwwwSPHBYJ4zBAICAEQgQAAQSKVSlEwmKRaLSQWIjFYSIKurq7pRq6x3u1EixO5IXiLSKjYMZiJlE4RqTbcS4U3fTtrAiJwLkfHxccpms7pjH564SX/W96WtVim22BeN5r0TD+jcrcd0ZbFAM/fWHU/GKhSfOmqlYmN2f3rxK1JWv3X0njG8Eh6y1jjxecSAvnw+TyMjI4bqJntOseVq9htv23GcCAFxcl2hUHB1wiBo8SHL+MD4WwAADwQIACbE43GdACmXy9TR0UFEZFi88AJEVVWKRqMNa2syw8pgHmQomAhvJjfLjah17P/y5V1XZ6vdTrriqSVENjY2pIGC7NhXVlboqzv36XBixheT+VsnxumtE+N0qH+3wsKqLHZyPX7w0XXTVirW62+3X96qRcoL4fH2qUnd8+zs7NCdO3ek35lKpUIjIyO6aoiYin44MeP5Qt2uEGDtkVb/V+2OkA1afFh5Vdixt4IfBADgLxAgYF8iejnYxiMTIKFQiKLRKIXDYero6NBuZwKkGcXHzs4Ozc7O2hIX9QQWuoUfqSv6OPh2q1o4narFWC99LxUPdgLZxNchEyL/69GLNRfYhUJBV9nhTeYz99a1YMHeiQcGo3k9CeiyVqreiQc0c2+dfj0xZWuhuL29bTgrL7ZxySorXgmPQ/1TBnFkNRqYJ5/P05l/ueB7y5WsslJLfNSCeSys/r82SnzYGceL8bcA7G8gQMC+JB6PGzYxwEwUIJVKhebm5nTG81AoRJVKhTKZDEWjUers7LQMQgsSt2FbjRAhMvEgtlvVgp+qdeT8rKP9m4mHoynFsTn81esq/fC/fSodv2u14K43oK307DkVik+lk7GOXlqgQ/1TWjWEVQyOphRDYrlV5cCMqVtLdOyLW7bauJwKj+W1TanwOJpSDBUzVpWxe+wyYeC0AmbFq9dVQ2q6lRBwMy2KiVfxe8NP2ApKfDg1ypdKpYZVXgEAjQUCBAATRAEiIxwOUy6Xo0wmQ6FQiGKxGHV3dwd0hHK8CBJkU6aCghcPx9Irrk2rbg3pDCZExMqA3SlVqqpSMpmkfD5vmQNidmyNbIUj2v3cay0imWfELFxQJjiOnJ/VTOp2mbm37ii80OmYWj6UklW9evo/lbbKuUEpPDG0m1lVVuoR/kx4sWlTQYuPelPZ3XpbAACtCwQIACaIAoQtLvnLfAUkFosREdHx48d19wsSL4MEvRr9aRd2lvv3/umrup6HT0h3u/CStfvUEiIsUFDk1esqDc9vmo7flRnGxZYsvzGrehSKT3VJ5rXavVgb1z8M3aTUtQVX77/MJ2IlPIjsCSfGq9dVw2fLC4PR0VGanJx0fNz884stXW79Hk4plUr07unxQMWHVxkffJBhO6CqKsXjcZ1fkF3Hb2x8u50TXgC0ExAgAAik02mKx+MUiUSos7OT4vE45fN5UlWVIpEIxWIxSqVSFIlENKEhmtAjkUigFQS/EszdtFW4QVEUGp2+VVf1gsGb2n94Okvq/+t+AaYUnugmZckqGGy0rp0z52aLa7bxE67eH5qnE1dWdCN5nUy3sgvzSzDfhl2DuugZEduhVldXHS1MzQzqVsLDaTK4rOVK5vVRVZUuXLjguBritOrh9f8vvvLxbz6apo3H8qEOXsFXXbyCieFW9oek02mKRCIUCoV03sJcLkfRaJRyuZy2se8YBAjYb0CAACCwsbGh+wPB/5Eg2jWuZjIZ3XWVSoU2Nja0y6qq6i77Bftj7afY8VOEiMKJr17UA3+G+80TWccjdkVkQuRwYoY++WLcVbXrqvLI1shbq00cxyvmh1iJFSY2+iZy9B9PT9XM+ngjtpdkLnpGrLDja7FKLbc6e++k5UrmI3lv2Pr5iYgmJydpdHS05vM7rXoQOava2IEXH++cvknP1Oe+CASG316xVk4lv3HjBhGRQYDwlXIRXoBUKhVKpVLSUdEAtAsQIAC0IOzMr1ODuVvqNUibPZ94/Hz1wolfQES2IPRirKpssexmdC+jUHxqMIzzE67qESgysXKof8p21oeTJHMrmK+FX0jaCQ+0fN9stKiZjf2tVZUQUVWVzp49axpg6LTqQWTMJqkXUXzwwtNro7fTqlO9NDostR5kAqS7u5uy2SylUindd4oXIJ2dnQ1r4wUgKCBAAAC28GrhUcsgbzaS19W+hMXhgWNTdVVDKpUKjY+P00/HVqSje/3ot2cjeedXN6h3+Cs699V9T8WKKDa8bvFilEolys4t09GU4lp42PkOMv+OUx9JLbLZLA0ODmpnpd1UPZwa5Wvx6nVVV5mzSlX3IgjQ6+O3C+8PaQYhIvNy8H4OhkyARKNRGhsbo0wmo2vjZQIkHo9DfIB9AQQIAMA29UxpsutTcZvnYYZX1ZBsNqsLFDSbcnXy8qJvi/ha7z+fHyJWVt69MEeH+nd9G2wilV/HKVIoPrWVWm5FrSrc8tpu5ojZPrz4LlUqFUokEjR+O+e46uF1FfHV6yq9c/qmLfHBYAt5N9UXlt3RSAHA3kO/2srsUqlUDG26YqsukVGAiORyOYpEIkREmu8wFAp5NokNgGYGAgQA4Bgn/d9O80j4kbxeVEEYbqshbPpZNpuV3i4TOE5G97rBqcFbUZRA2vXsBBAyP8ng5S9tP6/Z6y2/eGnaZnWof6quYQYy3FQ9iOofUys7Dqfig8dpW1ZQwyjs0ir+EFGAVCoVna+jXC5TR0cHEe0KkEQiQdlsVhMlALQzECAAAFfY6WN3m0fCny2v10DOI8v5sKqGZLNZGhkZsWUGLb94aTCqMyHiB3bOSPvZMuN0RC8TlMxTwo7f6tjMjp+1WYn7PHBsqq42KytkXo8f9Q4Z2m4Mj/PYCC6Kj/eGl10LXTttTV6LJy/Z3t5uSEtYLcrlMpXLZQqFQrSysqKJkHQ6TZ2dnZoQicfjNDQ0RER6D0gikaBEItGw4wcgCCBAAACuWb6rSCdw1TsWuPzipW5x6cQ0bIf10ve6RdwbsWs6ocCqHm5aIcxG97JJVVcWC1QoPqXSs+d1vw4rT0S9YZQMu1UNcRPH9JqJArPsB1nL0lXlkTSc0Ms2K9nrt6p65PN5SiQShu+KH2ZtUXx8cPFO3c/J3mfZyQSvMj78pNn8IUREXV1dho2JkKGhIQqHwxSNRimRSGgnN9LpNM3NzRHRbqUkFotRLpdr2GsAwG8gQAAArvjg4h06mlJ0gYVO262sEDMbPrh4x/OWJtHD8c7pm/RZ6jc0MjJS93PLhIhse+vEOB3qn9IJFDZG1y58i5JZqKAd3FQ1vDCyi9UQXjxZtVkdOT9b95QuK+xOuKpUKjQ6OkrpdFp7Pa0gPnhKpZLue+P1pC6/Yf6ooCYDAgDqAwIEgAYg9gITkRZ22ArwbUzlFy+pVCrR7Oys52dLyy9eGnrdvT7LLWud8tJIflV5RIcTM64nVbERurxAmbm3bhAoTHisrKzUPCavqhp280DssrKyoi2CZWn0WjXJpzYrhluvR7FYpDNnztDs7KynxyP+P/BafPCsrq4G5hnyAyakAADNDQQIAD6RTCalU1ASiQRFIhGKRqPU3d3dkkm4vFG8+1d5Wl1dpWKxaGvx65RXr6u6nAM7C0GnjI+P03/7hf6M/8Headf5HlaUnj2nmXvrdGWxoE2oOtQ/VbdA+dvBWfrbwVnq+9V1TaC8el1tWFXDKczo/NOLX9Gf//xL0zYrv3GT66E99n9UbiYnJ2lyctKT45FVAv2CtTMVi8WWTyMHADQ3ECAA+EBPTw+l02mDAMnn89Td3a1dTiQS1NfXR0StJUCI9ozivCBgZ+H96MU+Pb6sOxPvhTjY2NjQeT38robYgR+j64VAaXRVww4zi/fpxMUZ0+wOP9usGG6rHgxxMpyqqnThwgWpR8ouQYoPWdtYqVRqSpM3AKD1gQABwAdYe5UoQOLxOI2NjWmXNzY2KBqNarcxAZLP5ykajdqavhQ01WqVFEWhb777nfQMsZ9JyZ9f/1q3QHQ7IUtVVRoZGTEdrfv59a8DqYa4ofTsORWKT+nCxB36h6EbWiDhWyfGa1Y3gq5q1KJQfErdX9w1bbNaW/8ukOyJeqoerHJj9n1Pp9M0Ojrq+P9y0OLD7H3mTd4AAOAVECAA+IhMgPBVDjaqkb9NVVWKRqNN6QcRp1vJqiBE9QUW1kIpPKlrQpYYKGhGM1RDzNja2iJFUaQLRiZQWBDh0DWF7qzkG3CU5lxVHkl9J2+fmjS0WVWrVdem+lrUG1JpNx9DVVXq6emhfN7e5yCKD6+nwPHYfQ2suom2LACAF0CAAOCCjY0N6ahF8Yy6KEC6urosBcjg4CBFIpG62jb8wGyyEu8FkbWrOAksdIKbCVlstK7dRSDjky+X6c0T2aaohrDqk1ODsNPgQj8ov3hJJy8vum6zKhQKnp6FdxtMyR+P0/d0aWmJBgcHLashQYoPNxkfaMsCAHgBBAgAPlKrBUtMwo1EIhSJRLRxno3GzoKXb4t65/RNw+1+jfN0MiErm83S+Pi4632trT+iH57O6hbN9QTAuaHe0a7sTHfQWQnLa5um06xOXl50NFBgZ2eHFhYW6lr81lv1IKpPWFcqFRoZGZEK4SDFRz0ZH2jLAgDUCwQIAD4iCpBsNquZzomIxsbGNFM6EyeqqlIkEml4C5aTMEHeIH7y8qLh9kKh4FtVR5yQtV76XruNtb548V7u7OzQP49e11VDDhyboiPnZ6l34gFdWSx4Ei4ow6uxqH76c0TMsjsO9U/VPc3KbUWn3qpHLb+HE/L5PI2MjGjVkCDFh1cnBZh3ZL+1ZYkVLFVVHVdWAdjvQIAA4AOpVIpSqRSFQiHq6+ujVCql/dGKRCKUSCRobGyMwuGwtjDn/SHZbJYikUhDTOhug+x4ISBbPPGBhV4jTsia/aZEyWSSksmkp/vZ2dmhhWWFuj6dsJwqdTgxo4mSQvGp60pJPaGCVnjZksUyRWburdO5W4/pyPlZ0zYrLydsOXlvvKh62PVKOKFSqdDg4CBNz94OVHx4/X1ibVnNkkReL+z3V5xKmMlktBHq/EmiTCZD8Xi8EYcKQMsCAQKAD2QyGcPGxESlUqGxsTGt2sEQgwjn5uYCrYKwBZbbM+1iUrPszLIfizjG1cWHOnP6R1/M+LIfot1F3Fd37tPRSwv09qlJW9kaLExweH6TlMKTmqKETwP3g1KpZKsli88SGZ7f1PJE7IQX/uCj6xS/fNu30EA27GB7e9v0PvVWPYh2K3h+fW/LL17Sv479xnfx4Xf1iz1/o71G9cKq1NFoVCdAKpUKhcNh7TeZiRQiCBAA3AABAgBw1G5lhdhGwrdDMVjbhtdUKhX6NDWp27+sHcwrxMUWmzzVO/GADidmbImSt06Ma2NxWXigl20+tWATpu5/u6klo/dOPNDS0e2GFoqv6VD/FJ37zbxvi3YRmZiSeU+cVj2I/PMwEe1W7vjv69+eveKL/6te/5DTfbVyWxYTGOLAkEwmo8twIiLq6OggVVV1AoRNMURLFgDWQIAAsM/xemFSfvFSW7iaBbl5HVg4NzenjdYVRdDhxIxvZvFSqWQppkrPnmuihGV11FrAv3ki67mvRAw3PHJ+1lEquthidqh/z/vCMkX49iqvPCtOqFar9Isru61eYguYm6qHn4t2mT+GVT6KxSJduHDBs+qnVcaHn7AJW63aliUTIGKVIxwOUy6X026rVCrU2dnZUoGyADQKCBAAgOcohSc6Y7hMhHjREsJG64rjj1+9ruoyPJwkWjvFqZh69bqqtTMdvbRgS5QcOLbb8mTmKxF9GE7apMzaxVg6OqvO2PGyBFm9YRSKT6l34oHUd8K8J04/eyY+vF48l1+8NFRlDvZO08y9dcN9JycnaXR0tK79+dnyaIdmbcsKh8OGraenR3cfUYCkUilLARKLxai7u5sSiUQQLwGAlgcCBADgC7XG8xLVF1iYzWZ1U4Rk8MZjcUKWl9Qjpra2tmhh+S4Vik81UWK3/clO+rlVm9TRSwt07tZjmrm3Tstrm/RMfe7a9M7CEYOg/OIlDc9vmoqOQ/1TFE9dp9893XL83G6yMewcr2iCP9g7XbMqo6oqnT171tUEOT9eh1vY+ORWasuSVUBisZjuPuFwmDY2ZRcOjQAAIABJREFUNiiTyVAoFKJoNKqbcggAMAcCBADgG7XG8zKcnDVnVQ+7LSrihKyriw9tPc4NTvwC7Cy71f3d+ErENqlztx7TlcWCoU3KCqdnrRVFsTSCe0H5xUu6qjyiQ/3y94CN9+WrHU6zKvx4HbJ2K6dVmXQ6XTPAkKcZqw5EuyK1Ee1gbhAFCBuPztjY2NAynHh/SDPlOAHQzECAAAB8pdZ4XoadxXs6naaRkRHHxyBOyPJzzGmxWKy56K1nbGnp2XOaubdOvRMP6OilBYMPwyu/i50pWX6NCWa8el21FB1vn5o0iA7ZMdaqsvkxIUr0IrHjddsKqKoqJRKJmubmoFvgnMKqns0okIh2K6upVIoikQgdP36cUqmUdrIjkUhQX1+fNo6XCQ3RhM5PywIAyIEAAQD4ip3xvAyzwEJVVamrq6uuP+rrpe8Dm5BlljpuJ1m+mWBTsmQLWj9brmburdOR87NS0XGwd5p6Jx44XsibLXq9FlFmPo96wxcZS0tLptWQZhcfPM3aljU3N2cYoc7/7oyNjVEqlaK5uTntOjGIMJ/PYwoWADWAAAEA+I6d8bwMMbBwZGTEs5aGICdkiVOUghyF6jViS48fo2nZ2FxZm9nB3mk6mlJoeW2zrn2IlSdW5fGK0+PLhuP3o9pWqVRoZGREW+QGmXDvNYVCoWXasgAA3gEBAgAIBDvjeRk7Ozt048YNR14Pu4gTspgQOTN1n5TCE0/3RbS7WG+lqocZbLHuZbWAiQ6ZmfzAsSlPRIcIq0J56ZPwwufhhnw+T4ODgzQ3N9eS4oPB2rKarRoCAPAPCBAAWoRvv/2WUqmUbmOL8/fff5/K5XKDj7A2dsbzqqpKIyMjdP36dV8CCxniVCJ+4ds78cBWWnktWHvP6uqqq0lGzQRLA69XgJRfvLQcm3vk/Kx0LK2XKIqiVdrqOfNefvHS0Cp2sHfac9FkBvO3DA4OwvgMAGgpIEAAaBFSqRQdP35c15vM+sDD4XBLCBAi6/G82WxWV/XwOrBQpFB8Smem7hsqIrwYOZyYoeH5TceBgOIEJq/bfYKCVQx40cEW8HZhY3PNcknYBCu/2uEYYk4Ja11yeubdb5+HHcSMj3w+T2fPnoX5GQDQEkCAANAixONxGhsbk97GCxBVVXUGyWZEHM/LRuvKjjuo/vZXr6t0ZbFARy8tmI67ffvUZM1WLStTs9+CymusfCu1pmS5GZvrJ1ahfMyHYIdGtVvxWGV8jI6OohoCAGh6IEAAaBHi8bjW781XP4j2BAibVc/Pr29W+PG87/38i5oZB24DC92iFJ5Q78QD06TyA8d2g/yuLBa0M/d2JkO1imGYtVxZIY64rTU292DvNA3Pbwa6WCfafS21/B61xvUWik8NwuPI+dnAX4sd74qqqnThwgVUQwAATQsECABNBJtBL25ERLFYjCKRCKVSKRoYGKBIJKItMMLhMBUKBers7GwJ8UFEtL75Hf3PP75kazwvo1FjRkvPntPw/KZpq9YbsWv0Z31f0sdjS7ZbtfyYJOUFbgTS2V9NU+dn1mNz7YYgeo3T74y4wG+GdiuG09cyOTlJo6OjPh4RAAC4AwIEgCZiY2ODcrmcYZPR19dHAwMDRLQrQCKRiJbM2+wkk0lKJpOOxvMyGr1wt9Oq9daJcc3IboWd0MIgcTIq2GqClVdjc+tB9Hs4fezKygr1XV0yvDY/QyytcPtaVFWls2fPIpcCANBUQIAA0KLw6bvhcJjS6TQdP36ckslkg4/MHFVVqaenR9ca4mQ8L8MssDBI2GL9xv11x61a4vPUO43JCwqFgqUYevW6SoXi05pjc5MTNxveXlbve9oMPg+GVy176XTaNMAQAACCBgIEgBYhGo1q4qJSqVBnZydls1kiMnpAGr04lzE+Pq4dr4id8bwiVkZcv2GBduKikG/VMquOyKZq+RFSWHr2nErPnlOh+JSW1zZpeW2TZu6t05XFAg3Pb9K5W4/p3K3HdPTSAv3t4Cz9x9NTdKh/d3v71CS9dWLc9DWIPgixHcnplCwvseNdMaP84qXBv3Kwd5p+nbndEIFYTxVHRqVSoUQisa+rIWYVZQBAsECAANAiqKpK3d3dFA6HqaOjQ1fp4HNA8vk8vf/++01zpjOfz9sKFLQaz2uG1WQjv7AbKvjqdZVm7q3bbtV6uPmIJjPXaX51QxMMVxYLUsFw9NICHTk/qwmGt06M2xYMXmx2JljVmpLlB4qi0Pb2tuPH1fJ5sFHEQbb+sTYwP8jn8zQyMtI0vxFeMzY2RuFwWLdtbGwQUWuNLAegnYEAAQD4Ahuta1b1kCGO57WDnws1cT/1VCmUwhM6M3XfNAujURsTL2+fmtQEzZHzs3T00gL1TjzQhM+VxQLN3Ft31IZUa7KUV9Tz2cjarU5eXpS+zu3tbVpZWfFdVAUhrCuVCg0ODtLS0pKv+2kE/PAOEQgQAJoDCBAAgOeIgYJO4Mfz2jX8+u2jUBSl5uhTJ7x6Xa3ZqlVLMDCxcKh/SquKiIKBiQZWUSk9e05rvy3Q7fn60syd4mdLFhMfTj/7mXvrrnweVjkvXsAS2oMin89TIpFoq5G98XjcdBogL0AymQydPHkyyEMDAPwPIEAAAJ5y48YNrd3BDa9eV+md0ze1RaGd8bxE8sTuevF7sUm0+3qVwhNNMDCxML+6QbN37tLDTe/GvbpdrHuBHy1ZbnxAXo3VrWXad4OdjA8/YNWQdgkwjMfjdPz4cerq6qJoNKp7XUyA5PN53ShzAECwQIAAAJoON+N5GV61/KyurjZ8RG61WvVMAHldxXGDly1Zdr04jFevq7oWPza5q56xujs7O7SwsODZ62n09LB8Pk9nz55tiUV5T0+PwecRDoeJaHfiVzqdpo2NDU1o8AM7bt++TdFotCVeJwDtCgQIAKApEcfzOjlDXc9iLoiqh1PqMUD7MWGrXuppyXIzltbvsbr1Vi6aQXzwjI6O0uTkZKMPwzPGxsZ0I8uj0SiqHwA0GAgQAEDTwo/nZWesz0zdl+ZpGB7rYiLS1tZWw0b71sJNaGGzZIzIKJVKjg3dTsVh+cVLg+nf7phnp7Bjc/J6vKxweY2qqnThwoWmHOldi7m5OZ24GBoa0gmQjY0NSiaT1NnZ2ahDBGDfAwECAGhqZr8pGc5eMyFSayFZLBZtnZluxiqBDCfTkZqh5aoWTlqymIfEDl75PJxSrVZpZWXFlvBtZnHIk06naXR0tKVG9iYSCers7KS5uTnKZrPU0dGhZZ/wJvS+vr6mDm4FoJ2BAAEAtARK4QkdTswYpkIdTsyQUnhi+rhaC1dW9Wj2hSCjllhqxhayWtRatDtpcfr8+tcGwXp6fDnQFPNahvugRkd7haqq1NPT01IBhqztamBgQFcNGRsb08SUqqqm43oBAP4CAQIAaCmUwhM6cn7WkRCRVQ7YQt5NcF2jMZv45aRK0GywliwRu/4Iv30eTmFeFdG704jwTK/IZrM0ODjYUtUQAEBzAgECAGhJXr2u0pmp+4YcDTOfCDvrXK1WqVQqtUTLVS1WV1e1Hn2nU6GaEb4liy3UrT6jQvEpXVUeGQRpEO1WdikUCpqwCjrjww8qlQolEomWqoYAAJoPCBAAQEvjRIiw9qRm90Y4YXV1lW7cuNHyYopnZWWF7ty5Y7i+/OIlXVUe0dGUYqh2MOFhNzcmSNrxe5fP5zFFCgDgGggQAPYpqqrSwMAAxeNxGhoaavTheIKZT+TI+Vm6ld+g1dVV2traajmPhBksiK+RAYNewwL+SqUSzS/epZl763Q0pRimWYnCo5HtVrXgP6NGZ8sAAEAzAAECwD4lEolQMpmkXC5Hx48fp0Qi0ehD8gw7hnWvAvEahdhy1cwjXe2iKApN3Vqi3okHdKh/ylRwHDg2RUfOz9JV5REVik8bfdiWiG1kXoYxAgBAqwIBAsA+JJ/PU3d3t3ZZVVXq6Oho4BH5w9rD7+j//uVNQ3vWwd5pGp7fpJnrsy23EKzljVhZWXEdWtgIltc2aXh+k354OmsqON6IXaN///E1Gp7fpOW1zUYfsi1qCcKVlZW2askCAAAnQIAAsA/hk4EZHR0d2nz8doC18hBZ+0T+7rMMra03h2G5FnaDEvnX3mzwxnHx8+C3Q/1T1DvxQBMcZlOymhG7GR9sGEI7tM4BAIATIEAA2IekUinD/Hs+oKuVqZWDcVV5ZGjPevNElo6mFMs8kUbjdMpVs4x7rWUcZ9vbpybpaEqhmXvrpkn3rdC+5DTjg41UbqWqFQAA1AsECAD7kFQqRQMDA7rr2kGA2K0QELkPNgwaO+NorR4b9LjhV6+rjozjV5VHjs3jdtPGg6Ye0be9va2NiQYAgHYHAgSAfcjc3Bx1dXVplyuVCoVCoZYNGKtnoV0oPqXeiQeGdqDDiRkant80PRsfBE4ElRnVatX3qsHy2qZt4/hnX92l9JczdR8PW7A3C8Vise62N+YbQTUEANDuQIAAsE+JRCJamFgikaBYLNbgI3IHW6TXe+bYabCh3yiK4ulZfkVRtNDCemHGcSvBwXwcvHHc63HBjajwyOADIb2gmT08AADgBRAgAOxTisUidXd3Uzgcpr6+vparfrDeea/Tv1+9rtLw/Cb9yc8yBiHSO/HA96yJelqualEqlVxVVNwax3lYZokfNLIly6/PamdnhxYWFhouroJCVVWam5ujubm5lvstAgA4BwIEANBysOlBfi7OqtUqfT61QO/EjT6Gw4kZmrm3ToXiUyo9e06lZ8892acXLVe1sFOF8NI4TuTcQO+GRrRk+SU+eFZXV9t+XK+qqhSJRKivr48GBgYoEokgZR2ANgcCBADQUgSxmOVZWVmhr+7k6GhKsWw34islb50Yp7dOjNOh/ik61D9FRy8t0NFLC9Q78YDO3XpM5249piuLBbqyWKCZe+u0vLZJEzeWaPHuCpWePfe93UvMqPDLOF6tVgNtkQpqSharvgX5ulo9ZNKKgYEBGhoa0i4zIQIAaF8gQAAALUEjF2FssWnmE/FrsxIzRy8tGMTMlcUCLa/tei5YZcZMzCyvbdJffzLtW+J4Iz8vP8MY7WZ8eA0bJtCM07/qJRqNan40IqJMJqMbkgEAaD8gQAAALUGQVQ8ZvIn71euqttBnC//h+U1NEDCBcOT8LB3qn6K3T01qQiII4VJLzDgxjrvBrdfES/xoyWqGbBX23rbTuF5xBHgul4MAAaDNgQABAACbFItFT/rxq9UqzS/epY3Hux6SRooZZhwfvDzpwTvUXJ4FL1uymkF8MFg1pF3G9YbDYdrY2NAuQ4AA0P5AgAAAgAPqPbvvx+jYV6+rWsuVKGauLBYMYqZ34oHBOO7FcQXpi3BCvYt1LzI+/KBYLLZFeGFXVxflcjntciaTadmx4AAAe0CAAACAQ9yeDW/2fAe3oYV+jg72CrctWV5nfHhNOxjU0+k09fX1aZe7u7tpbGysgUcEAPAbCBAAAHABa++xc/Y56GlQ9eIktLCZWpNq4bQlq9lFFU+zi1srKpUKdXZ2Und3N3V1dVF3d3ejDwkA4DMQIAAA4BI7mRrNktbtFDvBga266LXTkhXEOF+vCWoMsV9sbGzovCAAgPYFAgQAAOpAzNTgadUFOsNKYLVSdUAG80+IBJ3x4QcrKytNMwgAAABkQIAAAIAH8GeeW7XqIUMUWK3g97CLWDFoVMaHH5RKpZrVOQAAaBQQIAAA4BHMO9Eu4oNnZWWFisVi2yzQGcx4z15bO+F2qAAAAPgNBAgAAHjE6uqqIwN3K1EoFOjOnTtt2drDJkl5HVzYLLSTYAQAtAcQIACAuhgbG6NUKqVt2WyWiHYNpR9++GGDjy4YxJYrrwILmwVFUWh7e5uIWmvqlR34jI9WN3EDAECrAAECAKiLcDhMAwMDlMlkKJPJ0NzcHBHtnzRjM6N2vYGFzYCZl6VdPC6yjI92SxkHAIBmBAIEAFAXoVCIKpWK4XpRgOTzecrn80Eemu+srq5aVjpauVpQa8Rwq/sLahnp29ETAgAAzQIECACgLkKhEG1sbFAmk9EJDF6AZDIZikQipKpqow7TU5xUAJwEFjYLdjJAGK3oebErnNCSBQAA/gABAgBwTblcplAoRH19fZRKpaizs5Pi8TgR7QmQYrFI0Wi0bcQHa61yIijsBBY2C4qiOPavOBEsjcRNxgd7DFqyAADAOyBAAACeUalUqKOjg3K5HOVyOYpEItTR0UFDQ0ONPjRPcLM4Z1gFFjYD1Wq1Ll9Hs1d66s34QEsWAAB4BwQIAMBTotGoJkCYGAmHwy1dAWFjWr0QD83Y0uNVuGCziiyvvDhoyQIAAG+AAAEAuKZcLuu8HcVikTo6OqhSqeg8IOl0miKRSCMP1TVuWq5q0UxJ4n5M62qmKVJeDwJASxYAANQPBAgAoC7S6TSFw2EKh8MUjUZpaWmJiHY9ID09Pdr9EokETU5ONugo3aEoCm1tbfny3LIRsEFTa4pXPRQKhYZnoRQKBS3jw4/nRksWAAC4AwIEAAAEvGpJqgUfghc0Qby+Ro4hDmI6l5etec1KpVLRMn7Yxt7XwcHBthutDQAIBggQAADgCHqiU9CBhUGJK35/Qfsmgnx97d6SxbxcqVRK27799lsiIorH45TJZBp8hACAVgQCBIAmggX6yYL9gP/42XJlRVCVgkZVJIIMLWyUSbxdW7Lm5uZ0gaI8ogCZm5vDbxcAwBYQIAA0Cd3d3ZROp7VsjXK5XNfzVSoVikQimicDmNMM05v8zgrx0w9hFz/booKu7JgdQ6O/R16TyWQoFotRLpejTCajExi8AEkmk1oGEAAA1AICBIAmIJ1OU3d3NxGRZwKEiEhV1bZKIG93nCSsO6GZWoT8yNNgC/9myCBpt5asTCajhY0ODAxQR0eHdlIjHo9TKpWC+AAAOAYCBACPUVWVNjY2DNfncjlpewIL72NmTpkAyeVypKqqNt6WXce3PKiqSnNzc4Z99/X1UV9fn2evD/hLvYGAPM1QFZDhZWhhI43uVrRLS1alUtH9bs3NzWkjtePxOHV2dlIoFJL+5gEAgBkQIAB4TC6Xo1AopKs65PN5CoVCUgGSyWQoHA5rl0UBkslktCoGu62np4disRh1d3dTJBKhoaEhisViFI/HKRQKUTab1Z4vm822bAbHfqZe4eB3S1e9eNH21qzig9GOLVnsN4hoV4D85Cc/oUQiQcePH2/wkQEAWgkIEAB8IBKJ6ETA0NCQ1mIlEo/Hde0LvADJ5/PU0dGh9c2z24aGhrT7d3R06J6bCRFGpVLBGcoWxW0rTyudfXcbWtgMnhY7tHpL1tDQkK6CmkgktN+beDxOY2NjRLTrYUsmkw05RgBA6wEBAoAPZLNZ3eQYvsVKJBaLUSqV0i4zkbGyskLhcFhn2pW1Z0WjUW0RQESUSqUM/dihUEhr3QKthdPAQkVRaHt728cj8h6noYVBZHx4TasIJhFVVam7u1sLGuU9ZbwJHX4zAIATIEAA8AFVVbU2LFbFMKOrq0sqQDo6OigUCumEi0yAdHV16UZhygRIOByGAGlh7AQWeukdaQR281Ca0dNil2Yyy7uh1UfsFotFGhwcJKJd8eRFVfjs2bMQXQC4AAIEAJ9g5u+BgQFdy5SImQDJ5/OUTCZ1ZxXdChBUQFofK7+DX9OzgqZWaGGjMj68pNVbsloVNpacndDx6jcRHjsA3AEBAoBP5HI5ikQi1NHRYTlSd2BggGKxmHZZFBn8FCs3AsTLsb6gsbAFOk/Qye1+IwstbNZpXvXQqi1ZrYroZfHypExXVxel02lPnguA/QIECAA+EolETM3nDPEMmigYWG91Mpl0JUAymYxlCxhoLfg2HkVRHHknWgnm82j1tiUr2vm1+c3Jkyd1Iav5fJ4+/PBD6X3FUedERgHS09NDk5OTRLT7m3rjxg3q6uqicDhMsViMKpUKJRIJikaj1N3drWu74kcTAwDsAQECgI9Eo1HdNCwzIpGI7o+hWK2oVCradeJt5XJZ15stzu3v7u62bAEDrcfW1lZLGrGd8vDhQ5qenm70YfhKtVpFO5YL8vm81p7K2qvMqhDiqHMivQCJx+O6E0WhUIgikQhtbGzQxsYGRSIRevfdd2lubo7K5TIdP35cV7VmkwbR5gqAfSBAAPAJ5t+wg199xOyPdKubR8EerB1pa2urLTwRZjBTupehhaC9SCaT1NfXpxsNLGNgYEA3lZBoT4Akk0nq7OzU/UaGQiHdZMFYLKYTHGNjY4bnC4fDuko0AMAaCBAAPIa1STkdSdnX1+fpHH12VrAVz5KrqkqpVMognFRVpYGBARoYGNC1U5w9e5bm5uaCPszAkU2KajdvBJHRHyHzhQBARJrPzuq3VsxaItoVGV1dXdKMJHFqoPj4TCZjECBdXV060QIAsAYCBADQVCwtLVE0GjV4XSqVCoXDYcpms1rPNWtv4/MI2pXV1VVTv0c7TVWyai1rp9cJ6qdYLFJHR4dlzhLR7u8DX8Eg2hUgnZ2dFI/HDdVnNwJEzGMCAFgDAQIAaComJye1nmpegAwNDdHAwIB2mQ975AVIpVKhsbGxtmo7s1PlKBQKLVnt4rH7OtvVeA+c0dnZSel0WmthNauCpFIpaQvW3NycVinmq892BEg0GtU9H1qwAHAGBAgAoCkRBYhY5djY2NCMpfxt8Xjc01a2RuJ0/GyxWGzJkbxOW6xKpZJhHDHYXwwNDel8H/y4cpG5uTnDJEDeNM6CY1kVxY4A4U3t7ISJF8GGAOwXIEAAAE1JrXHD5XLZIEASiUTbiY+gHtco3GZ8YITt/iYej+sqHqqqGq5jsCqHKCr4+2YyGS0lXUw3z2Qyut+efD6vmyw4NjZWc9w6AEAPBAgAoCmRCRDeaC4KkGg0WtOM2irUG1InCyxsRliCu1sRAXM6sAubmOUHvB8NAGAPCBAAQFMiCpCBgQFKpVLa5Xw+r511jMfjWvWj1c9EemW0bvYKgZeVmv2QiQLqxw+hkE6nW/43B4BGAAECAGhKxJ7qXC6nyzThAxZ5D8jx48dbsg3LbSuSFdVqlVZXV5uuQiAbJ1wvrep/AcGhqqrnRvFMJtNWAy8ACAoIEABAUxEOhw0bq4Sk02ntukQioT2GzwFRVZWi0WhLtWLV24pkRbO1KdXbXmYFQgsBAKA1gAABAIAGUigUAjlz3wyBhYqi0Pb2tq/7YCKk0a8VAACAORAgAADQIIJYkIv7a1SQX9ACaD+EFmazWamnIZvNUjwep4GBAV0lUBxFCwAAjQICBAAAAqaR3oygAwsb/VrbMbSwUqlQX18fdXV1GQL20uk0dXZ2Ui6Xo6GhIV1AXygUasThAgCAAQgQAAAIEOb3aGSLUFCGbT+M9U5px9DCSqVC2WyWcrmcQYCEw2EtUI+IKBaLaVUSXoAUi0WMjgUANAwIEAAACIhmCgn0+1j8NNa7OZZmHknsFpkAEascqVSKBgYGdLepqkrhcLilBjUAANoLCBAAANin+BVY2ExCi9GsI4nrQRQg5XJZKkDi8TgR7QoQNiUOuSkAgEYCAQIAAPsYr6sD29vbTSc+eNoptNBuBYQXIJFIBMF5AICGAwECAAD7HK+qA35mfHhJu4QWygRIJBLRBXjG43EaGxsjol0Bcvv2bers7GzJsE4AQPsAAQIAAKDuwMKgRwrXSzuEFs7NzVFXV5cW1ElElEgkqK+vjyqViub1YEndvAeEn44FAABBAwECAABAw83UqkZPunJLM0wkc0M+n9dG8LKtv79fuz0ej9O7775L0WiUlpaWtOvD4bD276WlJXr//fcDPW4AAGBAgAAAANBhN8SvXYzdrSqgAACgVYEAAQAAYKBWiF+rVg/MaNfQQgAAaEYgQAAAAEgxM2s3U8aHl7RjaCEAADQjECAAAABMETM9mjHjw0vaNbQQAACaCQgQAAAAlrCJUc2e8eEV7eJtAQCAZgUCBAAAQE1WV1f3XWVgP71WAAAIEggQAAAAlrCMj2q1iolRAAAA6gYCBACwb6lUKrrUaKLdkLZcLkflclnbGENDQ1qo235BFBz1BhYCAAAAECAAgH1JPp+nSCSiC2cjIkqlUhSJRLSAt1gspomOcDisEyTtTC0fBCohAAAA3AIBAgDYl3R3d9P4+LhBgMTjcRobG5M+RhQg7SpG7GZ8sNYsAAAAwAkQIACAfUsul5MKkEwmQ5VKxdBuxQuQeDxOyWQysGMNCqcZHwjwAwAA4BQIEADAvkUmQGKxmNaCFQ6Hqbu729C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"text/plain": [ "" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from poliastro.plotting import OrbitPlotter3D\n", "\n", "frame = OrbitPlotter3D()\n", "\n", "_, rr_earth = ss.sample(\n", " time_range(ss.epoch, end=ss.epoch + 3 * u.day, periods=300),\n", " method=custom_propagator\n", ")\n", "\n", "frame.set_attractor(Earth)\n", "frame.plot_trajectory(rr_earth, label=Earth)\n", "frame.show()" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Challenges\n", "\n", "## Validation\n", "\n", "> Unit testing a function with clear expectations is trivial. What are my expectations on numerical algorithms?" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "The wrooooooooooooooong way:" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [], "source": [ "def sinc(x):\n", " return np.sin(x) / x" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [], "source": [ "import pytest" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [], "source": [ "@pytest.mark.parametrize(\"x\", [0, 1, 10])\n", "def test_sinc(x):\n", " assert sinc(x) == np.sin(x) / x" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "text/plain": [ "False" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" } ], "source": [ "0.1 + 0.2 == 0.3" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "text/plain": [ "True" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" } ], "source": [ "0.2 + 0.3 == 0.5" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "What's the good way?\n", "\n", "* Doing floating point comparisons right is only the first step: you have to **validate against external data or software**\n", "* How much precision do you ask for?\n", "* The changes in precision are a result of bad data, or worse algorithms? How do you even track _improvements_?" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "### External data (short summary)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "* Nobody cares" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "* Those who care, don't share it" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "* Those who share, do it with 1 decimal place (true story)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "* Those who share with 16 decimal places, don't describe how it was obtained (i.e. release the source)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "* Those who release the source, make it impossible to compile" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "### External software\n", "\n", "* Sometimes commercial\n", "* Is it validated itself? (See above)\n", "* It is often difficult to reproduce the exact setting and algorithms, most of the times because your commercial software is much more complex" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "![Shrug](img/shrugging-guy.jpg)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "...If you're really interested, go read my Final Masters Project: https://github.com/juanlu001/pfc-uc3m" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "## Performant and \"for humans\"\n", "\n", "* _Yes, Python is slow_ (compared to compiled languages)\n", "* Some algorithms cannot easily be vectorized (i.e. replaced by NumPy)\n", "* And even if you can, vectorized code can be impossible to read\n", "* I don't like Cython (messy, impossible to debug, I don't know C)\n", "* _numba helps only with Fortran-esque code_ (forget about closures or introspection)\n", "\n", "![Too smart](img/too_smart.png)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "So... let's make our code Fortran-esque!\n", "\n", "\"Architecture\"\n", "\n", "High level API:\n", "\n", "* Supports mixed units and time scales, figures out the rest\n", "* Easy to use and impossible to get wrong\n", "* **Slow**\n", "\n", "Dangerous™ algorithms:\n", "\n", "* **Fast** (easy to accelerate with numba or Cython)\n", "* Only cares about numbers, makes assumptions on units (SI, TBD)\n", "* **You can mess it up**\n", "\n", "
" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "### Main obstacle: `astropy.units` performance\n", "\n", "* `astropy.units` does a lot of introspection, which makes it slow\n", "* To maintain performance, I have to remove slow code from loops\n", "* This leads to some sub-optimal API choices" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "## Community building\n", "\n", "> I believe the choice of license is an important one, and I advocate a BSD-style license. **In my experience, the most important commodity an open source project needs to succeed is users.**\n", ">\n", "> -- John Hunter † http://nipy.org/nipy/faq/johns_bsd_pitch.html\n", "\n", "* Sometimes, language wins over performance.\n", "* Sometimes, documentation wins over features.\n", "* Sometimes, marketing wins over quality.\n", "\n", "_Go find your users!_" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# _Per Python ad astra!_ 🚀\n", "\n", "* Slides: https://github.com/poliastro/pyastro18-talk\n", "* poliastro chat: https://riot.im/app/#/room/#poliastro:matrix.org\n", "* Twitter: https://twitter.com/poliastro_py\n", "\n", "## Muchas gracias :)\n", "\n", "![Rocket](img/rocket.jpg)" ] } ], "metadata": { "celltoolbar": "Slideshow", "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.6.4" } }, "nbformat": 4, "nbformat_minor": 2 }