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Created January 4, 2017 19:51
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A very simple bar model for the Milky Way in galpy
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"galpyWarning: A major change in versions > 1.1 is that all galpy.potential functions and methods take the potential as the first argument; previously methods such as evaluatePotentials, evaluateDensities, etc. would be called with (R,z,Pot), now they are called as (Pot,R,z) for greater consistency across the codebase\n",
"/Users/bovy/anaconda/envs/py27/lib/python2.7/site-packages/matplotlib/__init__.py:872: UserWarning: axes.color_cycle is deprecated and replaced with axes.prop_cycle; please use the latter.\n",
" warnings.warn(self.msg_depr % (key, alt_key))\n",
"\n",
"Populating the interactive namespace from numpy and matplotlib\n"
]
}
],
"source": [
"import numpy\n",
"from galpy import potential\n",
"from galpy.potential import MWPotential2014\n",
"from galpy.orbit import Orbit\n",
"from galpy.util import bovy_coords, bovy_plot\n",
"import astropy.units as u\n",
"%pylab inline"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# A simple Milky-Way model with a bar\n",
"\n",
"Let's replace the bulge in ``MWPotential2014`` with a bar, while also including the nuclear hard bulge. We add a bar with a mass of $10^{10}\\,M_\\odot$, which is twice the mass of the bulge in ``MWPotential2014``. Therefore, we lower the mass of the disk to $6\\times10^{10}\\,M_\\odot$ to keep roughly the same mass in the inner disk region and keep roughly the same rotation curve beyond the bar. (Note that we somewhat confusingly mix physical and internal units in the following)."
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"ro,vo= 8., 220.\n",
"diskp= potential.MiyamotoNagaiPotential(amp=6.*10.**10.*u.Msun,a=3.*u.kpc,b=0.28*u.kpc,ro=ro,vo=vo)\n",
"halop= potential.NFWPotential(a=2.,normalize=0.35,ro=ro,vo=vo)\n",
"sbp= potential.SoftenedNeedleBarPotential(amp=10.**10.*u.Msun,a=3.5*u.kpc,c=1.*u.kpc,\n",
" omegab=1.85,ro=ro,vo=vo)\n",
"npot= potential.PlummerPotential(amp=2.*10.**9*u.Msun,b=250.*u.pc,ro=ro,vo=vo)\n",
"pot= [diskp,halop,npot,sbp]"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The rotation curve of this potential is (we just use the radial force, but show two different phi in blue and green); the rotation curve of ``MWPotential2014``+nuclear-bulge is shown in red for comparison:"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Circular velocity at the Sun's location = 222.7 km/s\n"
]
},
{
"data": {
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gIgtJCeQikskkezsP4lwW4q0vpD6UWv7ze/Ic1dJU6a9g8/qtbF7/2lNtsUSc7uGznD72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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10dc1e990>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"potential.plotRotcurve(pot,use_physical=True,phi=0.*u.deg)\n",
"potential.plotRotcurve(pot,use_physical=True,phi=90.*u.deg,overplot=True)\n",
"potential.plotRotcurve(potential.MWPotential2014,use_physical=True,ro=ro,vo=vo,overplot=True)\n",
"print(\"Circular velocity at the Sun's location = %.1f km/s\" % potential.vcirc(pot,8.*u.kpc,phi=0.*u.deg))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The potential in $(x,y)$ is:"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.image.AxesImage at 0x11802a390>"
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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Lo3fv3qSkpLBixQrGjRtXROY/AcwKhYJff/2VBQsWkJeXx6hRo5g9e7bOfB1i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xYgVBQUGULl0aV1dX5s+fXyDesiHd+mmbNm0IDg42q6+FBWZNmNyUlBT27dsHbyI4nz9/Xphc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\nNchwlqQGGc6S1KC/kKf6UB5PSPIAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1171dc910>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"potential.plotPotentials(pot,rmin=-10.*u.kpc,rmax=10.*u.kpc,zmin=-10.*u.kpc,zmax=10.*u.kpc,nrs=100,nzs=100,xy=True)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The potential of just the bar potential is:"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.image.AxesImage at 0x118286fd0>"
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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HLVu2xNfXlzZt2gihbWUJePraKq5jTEwMCxYsIDg4GGNjY0aNGsUXX3yhsnNJ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\nYDj4sgFQqAAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1173c56d0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"potential.plotPotentials(pot[-1],rmin=-10.*u.kpc,rmax=10.*u.kpc,zmin=-10.*u.kpc,zmax=10.*u.kpc,nrs=100,nzs=100,xy=True)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The density in the inner disk is (logarithmic):"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.image.AxesImage at 0x118c7b110>"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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UK1dOb+AtKUBLpVKOHj3Kjz/+SFxcHLa2tnzzzTcMHz6csmXL6sW634cu//z48WNOnTrF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\nrLDCircQ/weAvN8Z59oz4AAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x117c93c50>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"potential.plotDensities(pot,rmin=-10.*u.kpc,rmax=10.*u.kpc,zmin=-10.*u.kpc,zmax=10.*u.kpc,nrs=100,nzs=100,xy=True,\n",
" log=True)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Again, just the density of the bar is:"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.image.AxesImage at 0x1173cde90>"
]
},
"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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KVJe5KeZw/Phxjh8/LnwsMjMzo0OHDvTo0YNXX321TqVM1eemaauNxMhVVFSQ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\nNGBKWh3wAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x117b9db10>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"potential.plotDensities(pot[-1],rmin=-10.*u.kpc,rmax=10.*u.kpc,zmin=-10.*u.kpc,zmax=10.*u.kpc,nrs=100,nzs=100,xy=True,\n",
" log=True)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Seems like a reasonable bar model!"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Some orbits in this potential\n",
"\n",
"Here are some low angular-momentum orbits in this potential compared to the same orbit in ``MWPotential2014`` (bar potential in green, ``MWPotential2014`` in blue):"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"galpyWarning: Using C implementation to integrate orbits\n"
]
},
{
"data": {
"image/png": 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ot/tUmSBv0UnblGMVi8WCwJeAPuDbWEZgEGhUuYWAo8DHYrHYrwIJ4F/G4/Ht\nVcOvztfj8fh5ezxvAS8Dn17j3HvxeHxL/2uFjK1grzBNk1Q507zZ3J4f2FIEqtXbwvmucxwO9dAd\nsCSz/S7fmucv7qw+mZ1hKm85T9tJ2Qu7g/QEOmj3tdGxqKao1duC1+lZcb5hGIxnp/jb4ctcm77F\ne7PxLX0eWA7jmbYYZ9r6Od12gr5Qr+iXtAc4FAfnOk5xruMULzzxPO9O3+Sv7lzi+szK3+FAaoTf\n/P5vc6r1OP/oqX/A4dD66WqSJNEfPUpqYI655Cg3+cGOxyvslGCnlOsVJrLTSx4mRzOTq6bJtnoi\nPNX5GD3BLnoCHU3n6UFooFqqlZtO03h2mgl7PVuY31b0CawoS8gdIGpLikc9YWvdyDhwhx4ah2kt\nCtUiA0krKnM3OcxAYphMJbfknHZvlLPtJzkWOWRHow7hcbjJVnL272Say+PvMJG1HJTV/rbcDo3e\nYJcV2fQtRDc7/W1LbL1pmpTrFXKVPHcSg1ybuc31mdskiqlmevxqWGmSLqr1KhW9tqaTtl1ml7Xm\nWI0bs3e4MXtnzddVWcXt0PCoGh6n2y4FCDKTn1vyvqPhQ3zu/C9yNHJoV8be4G5iiIHkCI+1xXj7\nzbd2V249Fos9j2Wo1px5W+U9QSxjkojH43+26dGsfb0ngS/G4/GPLzqWjMfjq8p8xGKxz8bj8Zc3\nee0jiNx1wX2iWq8ylp1iJD3OYHKU18avbFo8oSfQyZOdZ+gNdtET6KQ70LFuFCZbzlmzSXbN1YQ9\n+7XVmqt2Xyvd/nZLGtbf6LjeRqsnsuYsUq6S593pm7wx/i5vTLyDsUbe/VpEPRHOdZziiY7TnGnr\nX9dRFOwvt+cG+IOrf8xQau2o5k+f+jg/d/oTGKaErhsYJhiGidul4lCXPnjthty6sFOCrZIuZxlK\njTKYHGUoNcZIZoLZ/PwKlbiwO0hvoIveYGPppCfQ+UBExBtZDiPpCUbS4831TGF+y9eSJImoO2yJ\n8HijlkjRIgcq4g7teZ2SaZpUbBn0RiSlqteaqn5lu3l7Y79Sr1I3dGp2GmLd0KnrC9s1o2YdM+oY\npolpGpiNnlK2MFBjv2bUmczNbHqsiiRzvKWPul5nujC36XR5SZI4GraEH45HjtDha8Pj0MhW8vaS\nI1uxekQ198t5MpUchVpx247yYo6FDxPU/DhVJy7FWprbqi3oITuavccW+o0pzb5jsiRTqFpKv2OZ\nSYbT45vxThgdAAAgAElEQVRWGFzOqdbj1PU6xXq5KX+/3iSwLMm0+6J0+zvoCnTQbWfsdPs7NowS\nG4ZJTTcwDBPdMDEMkzolfv17v8VUfpZf++g/53Tbid2rsbKN1ZV4PP6n645sGbZhezkWiwVjsdjP\n7ILROsrCrGODZCwWe2KNlI5QLBb7GSCDlQ7yhc0aW4Fgu6TLWUbS4wynxrk2c4vrM7c39b4WT5gL\n3U/QFz5Eb7CTrkDHmsprpmmSLmebM6pjtvM0npncUhpd0OWnJ9hpz4a10+lvo8vfRps3uqbxrBs6\no+kJrk7d4I2Jd7ibGNr054E1s3Su4xSPd5ymv6VvXwqxBdvHNE1yxRquWpSf6/0l/sb4Jtcyl3Hh\npcLS1Jc/v/VN/vTyG1TvPQn1pdFFt0sh7Nc4eSTC8x89zk7nt4WdEqyHaZqkSpmmYMCQvU6Vlv6o\n/U4vp9tO0BPopDfYxaFgV1O++kGgXK8wmp5YcKIyEwwmRzbVq6qBS3E21Us7bOepw9dKmy9Km6dl\n1x0n0zSp1CvkqgVylQL5qt2YuFKkVC9bjdCrVjN06yF6+X55y5N0W0GSJFtQQ95x1EY3jTUjROth\nmqatWjvCt/jbLb/frWp0+Ky6pzZv1BL0aPaFcjf3NdXFbCHB7fl7XJ+5zc25e01nZTg9Rix6jNNt\n/ZzvOkunv33Xoq7lWpmh9BgDyRHuJYa5kxhifoPJ3onsNM8d+xAf6fsgt2bv8pfxVxjPTgGWAu+z\nRz9Eq7eFVClNqpxhrpBkIjfNVO4aTF5bci2fGiAkt+M2oqilFmq5AJl8jblUiVJlld+5WsXV/zay\nL4MrFeOvv53F9eE062vhLrvEei9u1VCt8v4MsOOZQBZy5DfL7zXSO2KxWBK4BJzfhXEIBBimwUx+\nnsHUCEOpcd6euMZEbnpT7/1g79OcaOnjcKibQ8HuddVysuUcY/bsTzMtJT2xJQeq299Bd2BhsVJW\n2tedbc1XCwwmR3l78jpvTLyzJbW4qCfC+7of53z3OWLRY8J5OkCYpkk6V2E2VWQ2WWImVeTuWIqb\nQ0nSudVk2sOo3cegewCj7EHWls7QKoEUrpNvULn9DNQXzFKpolOqFJicL/Cdt8b48j99ckfjFnZK\n0MA0TeaLSYZSY/b9eYzB1NiKWqiwO8jTXWfpCx/iaLiXo+HDhN3BfU/ha9C4Bw/aEbVb8/c23WdQ\nkWQ6/G10+S2BgS5/u9WU1hclqAV29B1N06RQLZKuWE1702W7kW85R66Stx0oa523HamtOH4SEprD\nhcfhJqIF8fitLA1N1XAtiqBY265FxxrbDlS7dYUqqziUBQn3pqS7olLVqwylxribGOJeYpi7yeEl\nP19JkjgU6OJ4Sx899kSnbhrNaMxoZvK+tO3YDqW65bgMpcdQZMVW0A00lXRDmlXn1uKx+ks+e/RD\n/P3Yx6gZde7MD3LdTh+8NXePm3N3+U/v/hkdvlae7jrH012Pcar1xI5UcDWHxqnWE5xqPdE8Nl9I\ncmvuHrfn73Fr7l7TaWqQreT5s5t/w5/d/Jvmsb93+AJ//+RzHAp2k8lXLTtVKTJbLlKZyjA2NE+p\nkEPW8kjuApJWQHbnyXmz5B13gbvgADOoYMgRdL0NUm1LbJOk5XGeuIrsLlCf66Y0dITvMc73rozz\nW//k8U1/523JrdszhM+xKD99l2b81vu8zy1PsQB+bDNFyLFYzABCq+XSN1IsFh/7/Oc/z0svvbTj\ncQsOPoudqLuJYX44+ta6fUYadAc6eF/3ExwJ91hKfL62NRWfKvWqfbO2ZiMbjtTy3O21UCSZQ6Fu\nugOd9Cxyojp8besq41TqVQZTI7w2doXXxq5sqUFwf8tR3tfzOOe7ztHhb3uo8+ofJuq6wWyyyMRc\nntsjKa7dneP2yOYd55WYuM78ENlr/a269DAhs4cZdaFJcIAOzvIJimWdfLFGKldmbGbhoWTou/8b\nNSt1aVfl1oWdevjJVwrcSQxxJzHIvcQwQ6nRFS0XWj0R+mzltaORQ/SFene/wH0HlGplhlLWjH48\nsfl6W7eqcTjUbQsVdTQdqTZvy5YfhHVDJ1XONJv3Nhr3Wk5TtrmdrmQ3JXLhdbjx2c2I/S67Wa3T\n2zxmyaS7rfYVdg2NQ1aRJZmaUbf6J9Wr1Iw6uqGjmzq6oVM3DAxTp77omG4Y6KaOYVrd/wBMu+ef\nhcl0bo54YnDDLAu3agkoOBUHiVJ6R21DwMoMCbuDRNwhIu5QczvsDhGxey76XL4NFewM02imxOUq\n+Wb0L1vJky5nmC8kmS0kmCnM3zeHT1NdPNZ+0v49SVYPr0ZKoKwsOabICprqQlOd9tpaXIu2NVsG\n3+N0ky3nuDZzm7++810GUiOr/wzyQapDj2GWtirdbiI5y8i+NM5QGjWYpO7INV4iSDcd0klMDAZ4\nFZ0a4fJplNnTjE0v/CxHXv0dKulRuB9y67FY7DPA17HSHprE4/E/u49Ga5CVs4HmasbKznN/uVFA\nvOjcdZ8aRe66YLkT9erIG2Q3cZM6236Ss+0nORLqpS/cQ1ALrHpeQ0FoJLM0H34redyHgt30BhdS\nVXrtBrnrOTZ1Q2cqN8M7Uzd5deSNTSv+KbLC+7qf4JnuxzndemJXZ3RNW9VIN3TqiwzkwrZlPA3b\nYBqmgWEazfz4ip1Pv7iB4eLzwbRz6M1mU13JNgKKpCxpAum0m/WqtmGXkOzjVm65U7W2HbKKIsnI\nstzcf1BmuBejGyZzqSIDExmuxme5Ep9lLrU9tcWNkdATXcheS9CiVNZJ3+jC2T+FErLqPLJM872x\n7+NIxgj6nEwnlka2/uff+C1+7V+8sKujEnZq0UVNk1KtTL7WaLJaWGi4Wisuab66fL+sV5GwIgnY\naVPWP6sfUaM1amMbaem+hISqqHgcmt0Dzt3cXli7m/3hFu97HG5cqrN5bzNMg4nsNHfmBy1nan5w\nRaZAu6+VM+0xjoYt4YAj4V4CD1C9ZrVeZTg9zr3kMK+NXdl06tjZ9pPNe39PoJMuf/umFQZreq3p\nLDWatCeKaRKlFEl7nS5n163VcSgOQlqAo6FegloAv+0MqLK66B7qsBvpylT1GqWalcpXqltLJpuj\nVC/b9+3Gvdu6f9f0+oratv2gMdad4JBVuvzttPtb8Tm9tvjCQnqelaJn9UKs6jVSpTR1Q6dYK1Go\nFq00SHsp2GmRhVqRYq1M0X69YL9+v1MlF1OuV3hrHSXA+43sy6CdtUSOytc+hFne7P9rCbPqRk+6\nKSU7rSPOInJ4FiUyTcY/QYaJ5tnG6DnM+gnG5pc++/2zX/k1vvSr/2hTn7idhNqUnTrxb1f9BveB\neDx+NRaLNfdtSdtXlu0n7XENAr+76LVngW/cj3EJDjaJYspKBUgO88PRtzfM+wV4X88TnG49wZFQ\nL0fCPU3J1OXUbInR4fQ4w7YTNZoe33QaX4evtVks3XCgOv3t685sNQqZB5KjvDb2NpfHr27qsxRJ\n5gOHzvOB3qfob+kj4PJbjQcNg2K9RLFWJlvJMZWfbaZ+pO1ZzKydBtIwzoL1Cbh8dkpGpLluqmt5\nIlvqZZMv1bh2d47vXRnntetTG7/hPmFWF9JKjaIfkKiNnEYO/i1m2YukVlE7hyjNHKaUWJkWdPLI\nVjPoNsUjb6dylTz/1xtf5erUe1sqcHcoDnwOD0EtQJvqBHv237Q2MDDBtB6DTdOw1ixMYiw9x7T6\n5pSzVOqrpZPuDJfi5P29T3Gh5wlOth5/YOqhwHJoZwvz3Ji9y3cGf9CUhV6PoBbgfNc5DgW7OBTq\npjfYtaFjWNfrzBetiIW1WE3b5+z99TIRFFnBpTjxO73NdLmGk+Sw0+ZUWaFu6FYKYDnLeHZ6286H\nIitoirM5aeV1uK1tteGcOZuO2oJggoIqyyiSgiIrzbVqb2cqOQaSw9xbRaFvN/E5vc0UO4fioG7U\nqNRrVOoVyvUKpXqZbCVPzahbk6eZiY0vug1cihOf00vEHcLtX0iRbIhNOBWHLTixWHzCiUt12K9b\n5zQc4EQxxXwxyVwxSaKYZL6QYq6YoLqJaJ3bofGL5z7FqdbjtuiH2YwoNkRHMsUCg1NJbo/NMTSd\nBEVHkutIWhEluLF64Gpo56wWHfVEB/WpPiuKZW4+a8asetBnLBVBxb+sLLZ1gJkhNxBecvhU3+bt\n1HYcq/Xu0OF1Xtspn43FYr/MQn+Qzy567UvAt4CvxOPxTCwWG7JnLCWsGcvPrria4JGiVCtbxZPJ\nYd4cf2fV5nfL8To99Lf00R3opMMXxTBNqnqVQrXIlan3eGP8KrppUKyVGEyNMpHdXJ3VegRcPg6H\nutHsruoT2Wmm83NcnbqBQ1Ytg6eoVOs1JnJTvDd7Z8uqQJrqos0bbTaFrBt1Xh15g1dH3tjx+AXr\n01B6Wk9Rby3MuopR9GOWfBglP2bRj1Hygb6/dWySa2GyQE92AGBWPBi5MEogRX36MGrHCEpoFj3Z\nteL9X/iP9+Xv7pG2U8Opcf7tD36XuUKCQ8Fuot4IPoc1W+5zNtZ2SpZj4ZjX6VnSpHs30Q2dUs0W\nLGiuF5bB1CjvTN3Y0gRNRa/y/eHX+f7w6wRdfivNyhNqpl41lqjHUru7X98NrMm0+PwA3x54ldfG\n3t7w/L5wLxd6nuRIyGpYHvVEVo2AG6ZBqpRhOj/HbH6euWKC2bzlQM0VkiRL6W1Fe2RJxjRNipuc\n7NNUFz6nl3ZfdNnfjxVtbKTRaaqG2+Fq7lvS3hpu1bXjmltLQGmc+Pwgt+cHuDM/uKkJ0bWQkDjf\nfY4zbf20+1ppteXjF0+YlmplUqU0yVKGdDlDspQhVcqQKWfJkrcibkadUm1nka7NUjVqGKaBKiv4\nnB7r79sbWZDB99oKjjtskKsbOnOFBBO5Gbv32TTjmaklEwSlWpmvvP2fm/vmfC+1bBCjEMQseWGJ\nNFEECCMHEiit48h+6/dm6gr6fDf1mUOYFQ+oVSRHBclRRVKrSM4ykqtkOWKBpb9rtWUatcV67jJr\nDvRMK0Y+hJEPYhb9yz5/AdmfxHH4JrInj1lXqY33o6facXQNoLSN4jz1BrWRk+izh5vv+fWXX9/0\nz27LNVaxWOx/BAaWp1LYBiIUj8f/3ZYuuM80ctdfeOEF0R/kgLI41aVYLZKt5Lk9P8C70ze3rFwn\n2H2ciqN5028U0LZ4IkTcQQIun5Uu4XSjqRqKJO9Zel0ztVCvUzNq1PQ6Zb0h61uloleo2BK/2Ure\nSqexU2caXeofVIySFyMXbi5m1c1qgRqnQ8GjqXhcKm5NxeVQcKgyDtVaO9XGvoyqykhgRyrsyIRp\n8t26FXhRTTdHUj/D9XvWLKTj0C3UjhGqw6dxHrlJfaaX2siZFWOoFZMMfeeLsIs1Vo+ynXpr4hr/\n52v/gYpe5WfP/BQ/e+YnH7gaSNM0mchON3vZ3Jy7syTt2qk4OB45Qn/0KP0tR+lv6cPjcJMuZ5tp\nbc3FrgtKlTIkS2kqenXVz5SQiHojdPnb6PS10+FvpctWRG31tGw6UtxgOj/Ht+79Ld+8+70NBRr6\nQr189OgHOdHSR2+wa4WDZ5omuUqeydws03m7YXtujqncDNP5uTW/03ZxqxoBzU/Q5V9Yu3wEXD78\nLh8+23FacLi9O35Q3w7FWon4/ACvjV3h+8Ovb1tavN0b5ZmeJ3im+xx94UNoqqvpMKXK2QXHqZQh\nWbYcp8b2RpFWl+pq/uwaP79A8+fpJ+DyLtl3O7R1bVylXrUl1vNNmfV0OUuqlCFVtsbVGPNaUSUJ\nibA7SKsnYqtARmn3tlpqkFsQMWmklcdHUtweTnJtYJ7R6Sw4Ksi+NI6eu8juwqrvNXUZoxjAyIcw\nqxqyVkAOzSPbE3FG0Ud99hD6fBcY68d4nKqMR3Pg1lQ0lwTeFNOhS+u+R8FJWOokIvXQIh9Bw0+m\nPs+Q8RYpeRiA+mwPtfH+Jcq1si+F8/hVJGeV6tAZ9LleYGt2arviFV8EPofVxR7gKeD34/H4P9ny\nxfYZ0R/kwaQxk2YVzWabqWfNItpylnQpY91wyttXKJaqXqSaB1NXMHUZDBnJVJFRkWQTtDyGM4uh\nbq1GxS17aXV10enpptffQ1+ol4jPj1dz4lRlVIeM5pCRZYmqnQM/lZ/ltdG3eXX0zW1/n72gxR2m\n3b45B22jHNT81r69HXaH7uvs8INA3dDtBov2Uq9QqBaZL6aYySW4NzPFZDpBqpymoqaRpP2vIViM\n3+ikVeqjVe7Do/hx286Vx+XA7VIth0tT7W0HAa+TgNe5xCBfGniV33vrDwE4a/w016/XmxK20VND\nFPxxPnPul/jKtT/gmO8kx/VnuTWUJD66IJhxPxwreHTt1G9+77e5NnMLsHrhPdV1lqe7HqO/5eiO\n1L12gmmaTOZmFhyp2TtL0rYi7hCnWo8Tix6jv6WPQ6GebT3IN+zGYqerIcfccFiWy6yD1Yy03Rel\n099uO15tze2gFsAwDd6ceJc/v/VNBlOj647B7/LxE8c/zDPdT9AT7ERCplK1/l8k83lGU9OMpKaY\nys2QrCTJ1pMUjDR1dug8GTKK4UbRPSiGhmJ4UA0N1XSjouHEjUf1WpNZmrv5f9vrduDRHM0JFq/b\n+v/vdCg4HQpup4Ki3F/H3DRNspUcN2bv8J3BHzb/frdKd6CD9/c8xanW43ZT3jzzxaS12NG9hoNS\nXsdhkpAIuHyE3VZT2rAWJOwOEXYHrLWtthdw+fatWX1jQjlZSi98RzuVr7GdKKbQ16nBcioO/GoQ\nWfdQzrlIzUsYhowkGSCbIBn2Ylr2y95GNlicFCBrBWTf1koB9GS7lXFhyGDKmKYEhoyqqLhVzapJ\nc7nxax7cDhcuWcOluCw75VLRXAoj1fd4NfHNrf/wiiHKQycxCyF62/18/P2HeSrWRrlaZyZZ5J3h\nYV4tfh2dGpVrH8Kseu6/YwXN5orP2btX4vH4gQwNHATHyjAN6nqdqj2rXtNrS7f1GjWjhm4YC0XD\nywqMAWTJLkNe9xwZVVYX5e06dlSob5omlapOvlQjW6gykywwOpu1Hjozc0xl5jEdJSvca4d/cVSs\nbXl3HkSNQgA91YaeiWKWfGAorJi9l+vIniyyL4PkzSJ7Myvko1f9foaEWQxgFALW7EwhYH2GqQCm\nNbOjFZB9aWRfBtmbQXLufq3Belg9LqymeZb8bgddgXYCLl9TbahQLZJvFLXXiuQrjUL2hUL3XMVq\nSpgt51Yob61GIw+8xdNQQVpYWjwhWtxhvE7PnkWoTNOkZtSbRb/FRQXACylJ5VVfr9QrTcGMRlNK\n3dxYHesgo+dCVrSr5oKaE7PmQtbdBJ1hgl6N8dQ0ymPfB6A+101t6CxBn5OPve8wH36qhz8Z+CPe\nmniXf/Pcv+RXX/kS7+99in/+wc+SyJT499+4xhs3rRSO++VYwaNpp/KVAq+PX+Htyetcn7ndnNX2\nOj082XGGp7rO8kTn6ftaj2SaJlP5WW7O3uE925FanOIX1oKcaetvLu2+1j27D5RqZabzVjRoMjfL\nVG6GqZzldG02LW4x9dke6rO9mMUATbsi15HceWR3vrmWfWkkdeu9kkwTqLkwqy7MmrZsbS3UVUxT\nRpINkHWQdSRZtx6AGw/Gsv1QLC2srYflpceaD9HbwDRlMCUwJYJejbawl7aQl5BPw6s5URWZQj3L\nfMlKZRxOj2/rc/xOL73BLny24qAsySSLKebteqG1fo+bcZjC7iBBLbAvETqw7ZReo1hf3RYtT6Ut\nLbJZZdtONbIuyvXyAyEKspuYuoJZd0DdiVlzIrlKa0bNJMOBKa8S1ct0cKHtQ3zy/NMc615dlOuv\nb7/KH7z7h9SnD1MbPbUlO7WTbnBPY3W6B7i3g+s8EFy8eHHXUwENwyBXtaQxs5W8vZ1v1lnkKnny\n1QKVetV2lixHafG2pXa2s8Z1u0FDKc0hO1AkBxgKhi6j1yXKZahVwDQUy2mRDSSlZhUpKnXLyCg6\nKPYaQAEioC6rBzQNyTIWxQBGzYlpqEjOErKrtCmHRE+1omejVvi5uEZBo6QjeXKW8+TNIHuzSO48\nG9l1U1cwigHMQsCqdalZ/Q9kb8YKi7dMI6k7k2fdDGbdYX1+0Y9R9Fv1Nk2HcSVDLOg0d0VL9B9O\n0xWt093qpaPFS9DnIuAN0ept2fTDTd3QLUernCVjpytkyjkyFau3SapkSffOFRKMrlPE61Y1Wr0t\nRL0R2jwttHpbaPVGaPNa2z6nd8WYGrPS+WbTySL5ap687fzlbGcwX8nbrxWaKkqbkQpejmlI1s/W\nUKy/cV3FNFz2MXnh795QMHVl6bn2bBymZD10GFJz35qlW3gQsc61Jj9M0/rOkqwjucpIriKKu4ji\nzYN/bkvjlwwnajWAVAmg6wZ178ySuqi1UPzplYW9QBEomKB0LxwzMlEkLU8m7+V7b49xZ2yeofBt\n/GqQ2Yz1QB3VWvjat+N84zt3qVT3zCl9qOzUb379f+dIrI9IW3TRZJtlI6r6wmRbvlakVCs3J8wA\nCtUir46+uSIifqatn5PR401ZbJ/Ti1NRkZvSybKlhikpKLJsHZNkZFlBkWRcihO3Q2OumOTGTJwb\nc3e5MRtfEhkKaQE+eOg8j7X1c7qtn05f231zpMrVOulchblUibHZHFPzBaYTBQYnMsyupo4pBZG9\nEkqLjtq++dpHo+zBLHuQHBUcXYOYpoSsFZG9OxPxaT446iqm7gDdtqmyjuQqIrlzyxyoB/PBuQgM\nmzCcAnbS0WEVctUCN+furntOxB3icKiHw6Fue+nZsAXJbrJVO5WrFprO0rbslClZfytN26Ni6sG1\n7ZQpIyl1JGepaWM2cvyNQsCuYQpZk8i65UJIzgpqyyRKy5Q1Ob4KsqERLJxCNbyUHFOUXFPoysrJ\na6muIRUj1AtedLNuPUMqi9e6VYel5ZG96ysiLnaqzKrL6rfoyyAFp7lc+Qbvffc1Hvd9hPNH+zjd\n10IkoFGt6fzXV4f42qUk5hkZ2b/1P97tpgJ+C6vY9op96Cng7Xg8/g+2fLF9ZjsRq1KtzK25e808\n2NwiRylXyZO1nalCtbjp2YJGMzunvCBd6lAcOJuCBUv3F8tFN0QNrDx6s9nDYbHUtN3doSlFbZ1j\noOsm5WqdYsWKKKXzZVL5Eql8AVOyZ70UvXljR9bt/4y7G3Uxyh470iMhaYXNOTo1B/X5HoxcCKMQ\ngtpqvbFNJFfRihb50sjeNJIntyljZBqWUybJeyNnCnZ43L5pGcXAvgsTeN0OjnQG6OsMcKQrSF9X\ngNawm6DXhSxv7sGoka5gyf2mlmzPF5JM5Gbu2+SBZMqYugOjptoPKuqihxZ1jbX1MGPqDqirtnO+\ns4fA7lYfn/zwMY52BZppNi471cbpUFAVacsPmtV6lcncDGOZKUYzE1yfub1hmhJAb6CTcx2niUWP\nciJyDE32UKrUmMzOcmXqOtfm3mO8sPF1VsOafPAje3JIio6ebMesuVDbR6ncPo+Rja54z31MBXzo\n7NSp/+EDOMOrK5E+qJxo6eNY5PASiXVL1GDpvtfpwa2urD+xUp4qJLJF5jN5RmczDE9nGJtLMzSV\nom4siszIhp3G1NjXrehLYx+snjb+1KYyEgD0bBiz7EMJz6z50LgXmIa89CFZVxY9LC97cG5M6hiK\n9b7G5M2SSZ3F+wvb1mTP8k9f/d4kOSrNRqySu4Dszm0rKrdXKLKCz+HB43Tjc3gW6qE0H36nXSel\n+fE7vQQ0PwGnr1kTVdVr1jOfPYGYKeeaNVBZ21EqVApWr6mq9fy3aSl0U0bSHei1Zbaobk1im3XH\nOvZKtZ4TjJ3bqdawm099+DjdnU4y9XlmSzPMlKaZyk8zkZtaN32ywdNdZ/lo3wd5qussqqxwLzHM\nn9/+Jm+Ov4uJSazlKL9w7pOcbuvHMA3GMpNcn7nN1akb3Jq713wW8Du9PN19jvf3PMmpaD+mIVOu\n6pSrdSpVnVyxSiKXZzaXZnhuliujdzC7bm7re9emjlAfi7H856c9eQmz7qRy/UfvbypgLBb7AvBK\nPB6/tOz488D5eDz+r7Z0wX1mI8dqMjfD//POn/L25PUVr+0lrd4W2rwttHujtPmitHlbaPNGCWmB\npmFanj9fq+vMpUuMTed4bzDBjcEEd8c2WXAvGdYMhla0HBOtaDk8WtGa4Vjj/69pyJg158J/+MYM\nvz1DglJHUmtWREutIWtbT71wyRpHfMdo8YRp8QZp9YZpC4Ro9YVxqS6mc7PcTQw1l82kre0lkeI5\n6sk2sgkHpcqDOdu4HXrbfcQORThxKERvlwuPV6dslqyolm2MssvWmUpuV9SUzJrTEmqwZ9PMqtY0\nSvdJXXsF50+187M/doLjvSFcjv1JIwHIVwsMp8YYTI1yJzG0YcPRoMvPMz1P8FhbP2daY0zP1njz\n1gxv3pxhcCJtRcsi07g6JjEc2/+/VL13Dj3dtqJQuSdU5zv/6Vdhd8UrHko7tVPHyu3QiLhD+Jxe\nMuUs0/mtRT8Fe4MkSUQ0q4ls2G4s63f5mr2QPI2eSA6r0a7X4UFzuDYUKTFNE90wqesGtbpBvlgj\nU6iQzVfJFipk8lUyhSqpXJlkpkwyWyaRKVE284tSG3PI7oL1PLCLTpRpWP2GzMqipbFftVIfl6i8\nScaSbJjGpG8juiGp1jOGpNTtdQ1JraE6dRSHTl2qYLK7k6YyMk5ZQzGd6DUH1ZJMtayA7sCsOe3J\nOgdm3Wmnszn23E49fiLKp5/rp783jObafNKaYRqMZ6b4L7f+hh+MvrXmeSejx+iPHiUWPcap6PFm\nv7WxzCRfu/4XvGn3wnq84zT/8PFPcTi08NxdrpV5bzbOlakbvD1xrVk/r6kunu46y4cOv4/HO06j\nSDIDExnevDnD5dsjjFRvoLaPLJnwf/7Yz/GJMx9iLJHiazf+lJvphWd4qerBUEsrJtjriQ6MdBt6\nup66AgkAACAASURBVBVJqaM98X30dCvVO08T9VT44Z/8a7hPjtVn4/H4y2u89nw8Hv/TLV1wn2kY\nrH/1+7+OHHSQLmUYTo8znt2/vjD3Gz0bwchGrJ4zkmnNOqk1S95SK1gOlWt156kRTjUrVhqEUfY2\ntzdSdulq9dLaWcMZTJOURpgsr95hezF+l48OXysuxdkUr8g/YI7SWjzecYoP9J7nWOQQPYHObRWO\n13WD2VSRybkCk/N5puYKTCYKTM7lVzRave9IuvW34qws1MHZ+9KifRzVDaONEhI+hw+vw4tsaNTK\nKoWcTCZtOUmmnT9NwwDJuuXcuywH33L07X1ladqEaWIZ47IPo+S15cl9drrkTrKfLX76w8d4/2Od\n9HUF8GgHQ6AjV8lzNzHEncQg16dvr9tuwCgELMOSa+V0x3Hed7qDc/1hvnH367wxseCk/Tcnf5wf\njL5Jorj5VAnTkNGTHeizvRh5S/X8i599jJ/55E/C7jpWD6Wd2oxj5XG4afW2WHLJxeSaqmZ+p5dD\ndopUt7+DUr3ETH6eazO3mTmgDpdpSPuSGqfIiqVu6tCQkJgvJjfVB6hBh6/V6v1Tr1DWrdKArSIh\n4bEjf147KuN1ehYp0i1Tq9N8BJw+VMW6J5qmSaqcYTwzxVhm0lqyU4xnplb0rZIleduNaY2K25LD\nrnjs+7Sn6TytJY+9JXbRTm0Vs+bErGiWQ1h1WQ5hTbOPWdtb6be0E37qR/r4kce76OsK4nNv304Z\npsHdxBB/N/IGr42+3Zyo7vK386HDz3A8coR0OWvblyFGMxNN9UYJiUPBLk61neB06wlOt/Uzk5/j\nj679OTdm7yBJEh8/9mE+ffYTK2o+DdPgXmKYy+NXeWP8HWYKVsN5FQ0z1Uk550Ty5FAi00iygSo5\n+GD3BTpCYf7kvb/kbPtJ/pcP/9NmBHwsM8m/v/xVBlIjtHpaOC0/xzdfH0VpmcbRubT0dvF9pKEM\n+Bu/dJqff/4TcJ8cq2eXzwJu5rUHld1OsXDKzmaK3kIztkaTNuuYLMnka4WmGECmnFlXueVBQM9E\n0Oe7rQfUmsuSpzRlIgGNE70hjnYH6Yp6iQQ1wn6NSEDD4TAZTI1ya+4ePxh9a91aG4fi4LmjH+JU\n63FOth4npAVWnJMuZ7mXGOLm7F3enLz2QBn/U63H+dHDFzjRcmTbTtRuYJomxXKdqUSB4cksw1NZ\nhiYzDE5kyJdWM9amNdPXFA9ZbJCqS43SBvVj5v/P3ntHR5Zf952fFyrngEIBhQx0o9P0dE/o5kQO\nZ5i1IkWOZJFrH8pnlY4ln7Uk27L2aL0ry5aWkq200pEpkqLXVCAp2cziDCeQEzgzPaFzT3dXo5Fz\n5Zzfe/vHeyhUNUIDaKBnONT3nDpVePXqVUDVu7977/d+v4pkDFOb9WHrlgRp5Tuzso2Gid2p0BkC\nIStD4gaNVLQV19B29ITL3j6bVnKhVddKkXucZh46FuHEoTCD3R68rvVopj+cqDdU3pyI8dzVS1xc\njpIV5jfkkdtMVoI2H7MthaZ+bw+/895fb6o+VmoNXru8yBMXTjNu2bpCk5L1U585iCVf5MKTfwi7\nm1j9Y5z6IYRadOsxpmLXzxOKhKbIOh3bVEOQW89LNb2wYtrbuda7uu/gzs6D7AsM4rW5cZu3rwSn\n+yhOcS05ybXExBomhUkyMeTrY19gkP2BQUYCAzhM9maiValXKNbLFA0hIX1mtEShVqJUK1Osl4x5\nntW/t0Lb2kt0OoK8q/cuhv39dDo7CDkCOMz25v2lSp2lZImpxSyTCzmmF3NMLGTJFjagW4qNtuSI\ndZKlHcWpZoy6WZzSQDIK0De+jpXnNlf0ywbjA5qG0X3buDO3ncTLYZV5+HgPJw6HGYp48LksuzK7\nqGoq1xKTnJo9zatz50iW9fjgsbp5oPduHho4yZCvb93nWvmuX4lf53J8jGvJyWahQEBgwNfD0c6D\naGi8MnOaeCmFy+Lknx79CR4ZvK/ZdW0oKtHpNGevxTgbjTGemkYMTSEH1zY9Hj/0YX589L3YzTY0\nTePTL/45Zxcv8RsP/TJ3dR8BoFZXeOPqEl+++C2WpPNoikh98g6UVBeCLY/l8MsIokZ9bgRTz+o4\nrlp0U5s6jJyu8OZTfwB7JF6hjY6OuqPRaNuE5ujoqJsbmLmjo6P/5ofNL2QrqM8PoSS70SoOblyQ\nbZ3YFtjlVwUICqIzg+RfRgrOr6nk3wokTwrJs9aIrwxcAC5kgAzNweab+Xp0OAI81H+Cgx0j7A8M\nYTNZ2+6vK3WmMnN6Ujb9OpOZ7Ruq7hX6vT08Ong/BztG6PF0v2XqQetBEAQcNhMjPV4GupykKg5S\nJRupsrU527Ti2ZEq6bdr6k0CUcOkdyqL7qYKlVazGMlTy9+70A3aPgSoW1HrVsgFafvGy7WWRCuv\nC5bYC4j+ZST/cnM3EZmwLcxIsJ9D4SGG/X1E3F1vq//rrUDTNOZiBc5di3P2WoyL1xNUDPEIWerl\n0OAxjgS8ODtyLNUneXn2NMWa3g0t1yvM1tsD2c/d/QmUOvzg0jw/OL/AG1eWqdYURFcK86g+q1Eb\nvxPL/jNrXksrJE8K6Y6XKFyKbLrfTt/2OzFOSar15jvdZmg1C/XFQdRMaN0ixRqs0MwNqvlqJ1oX\nZpDXEX/QGrJuHgq3LA6xGU5EjjHo66XLFSLs7CDsCrWZxe4UNpOVI50HONJ5ANB/k0uFuF7lNxKt\nseQk0cR48zFBu5+DHSMcNgQ/+r0921o0K6rCciHOm7Ex3ozrMvfZbZgvbwcBm4+PHHgf90SOErD5\ntuQJZreaGIp46As7OHLQQbpsI1W2NH3JUq1xqpKldhMvr72PUwIoZjTFjFZxbvZKdOrhSpLVdinr\nKnbONMI6xSw98TK6eBVHUyBFVtw8cHCYdx3SO1CdfvuWZ5y3Cj2ZmuCV2TO8One26dPoMNl498C7\neKDvHu7oPHDTovGN3/W6Uud6aorLsTEuxaJcTYwzmdbXc5KRROWrBT7z+l/z7PVTHLU+yvXxGheu\nJyhVGoCG7EnhG16mZFleV7Xg29FnyFXz/NjoY3S7OvnkHR/l7OIlvn7lu1STAV46v8Brl5cMK5Au\nRK+EeegCpuHzINdRYn0o6TByYBG14EOtWhEtFdAEREcOy6FXKF0Jb/mz3EnH6u/QHeUnbrjrHqCV\neCkAj0Wj0bf16mSlEjj0of8dS4eEFJpd4+68FSjpEI1EN2re32Y2ticQFGNQdKVKr18L1tKa1rbW\nkI0KYDslSm+7r+7scgmEIyqSO01eXCCl7kwGdSu4q/sODnfsN9zmfbitLsZTU3zt8pNcbQksuwW/\nzcvR8EHuDB9kyNdPspTmzMJFnrj+3I7Ud1boiauXEF2uEN2uTuzmva8ma5pGoVbc0CBz5dJquHkj\nBATcVhc+qxuv1YPT5MSMHVGxodbMpNMwN9dgZq5qSMf/cEOWRB461s1doyH8QahJGebzi0xn55nO\nzDGfW2qjtphEmT5vhEFfH0O+PvYHBulxd23bRPStgKZpLCaKXLie4OJ4gkvjCVK51ep1T8jJ8dEQ\nx/d3cGQ4iO0Gnr2qqvx/Z/+eJ68/t/FzVBzUl3t1c0fFrCdV+0+DoFK7fgy5axLJlaE+u4/G4jCC\nuUT/4SzLpvNrjlVLl7nyR6/A7nas3pFxavDR38BkX5FS1fQFmqFEp6uT7tzTbzehZANGZX7tBUVm\nw+RL1BN0yZNA9CQ2lFHeKRwmGwc79jHk76NUKxNv8Thq9dVqhcfiaiZZYWeHkXSFCLs6diXpWkGl\nXmE8PdNMtqLJCfIt53C/zcuh0H4OdezjcGg/4RaJ+lK9vErhM+h7s9mFW/J43ClEQcRn8xC06TPP\ngiAgNi1eBERBpKEqRoFva3HKb/XgtblxmlyYNTuiakWtWcimYXahztT0D1mcElQEU0UfuVi5mMuI\n1jIWZ5W6sJbmLwoiIUeg+f1bve7YkcE16MnUigHzq3Nnm0qeDrOdeyN3cl/vXdwROtCki+4GKvUK\nl+PXubB0mdPzb7Jciq3Zp7Hci692AH9fkow8QbauJ3k97i4eG3qAhwdO4rI4SZezPDf5Cs+Mv0i8\nlEJA4M7Owwyb7+bp6afJiQtUzr0brbb2dyrYclhG39CNgKcPIMh1TJHV9edPH/lxHj/8YZ5+8wx/\nee6vqeRTW45TO0ms3gD+HXCz7EMAPh2NRt+/rSfY+HkHgceBs+gB83PRaHTds8Y29x0AJv/jH/0V\nFZwsxIvMxwssxAvUlDqCvYDkW8LUvX37E61uohHvQUmF0cobSH9vfgS9kmc3Ku62gq62ZS2t8ZnQ\nJbida+ZK/HYPkaALh003Vas3VEqVBsVynWKlblw3qNVvnmAI5jKiJ4EcmkN0vD0C+Ar6PREjeTrE\nvsAgNpOVmlJnKj3LxeWrPD3+YrMCsxEssoX3Dz/E8a4jDPn7MIky8WKSpUKCpUKMpUKc5UKcpXyc\nWDGxLn3TZ/XQ7e4kYnhF9bi76HZ3ErD5tlRtrCv1NQlSyvg7vZJEVbKbcvAtsgW/zYPf5sVr9eCQ\nnJg0B9StNKpmUgmYmK4yt3xrixaTLBLy2fG6LAgCXJ5Ior7NtDi6gg7ed6KPh4/30Om3b7hfrVFj\nJrvARHqGyfQsk+kZZrILbWqFNtnKSKCffYFB9gWG2BcYxG3ZrHJ5e6BpGsupkp5IGclUMrs6E+F1\nWTg6HOToviDH94cIbfI5nF+6zGff+FvixWRzm0cKohQ85OWZNbQrTRWgYUYwV9FUgfrkEaSOOSR3\nmkaii/rEUT503yAfun+AwW4PAMlSmuenTvHli98E9iyxekfGqf/0J39NVXMyHy8wVjpLznd2zb6a\nIho+R/pFVmz6cL8rDpbtz2WuzNViWF8I5srbWvmtDRpYC0O4hA58piAd9hABpwuPw4LHqRte63YT\nZqxWgWw1w3IxwWJeP98vGdexYnLdmaLWpGtlodvjDtPt6rzlxaimaczlFnVD5fgYl2PXNk1C9gL3\n993Dh/e9h32Bwbb4VayVmEzPcD01zURqhuupKRKl7RekW+G3+uhx9BIwRbA2fCSTAlMzVaYXb+09\nS6JAp9+Ox2nBJItcmUpRb7y9Ri+CXhsfeFc/Dx+P0B10tnitxVgqxPTrfIyFQqwt2V6BJEqEHXrS\n3+Ppos/TTY+7m4i7E5PUPl+lqArRxASnVpIpI/l2mh3NZOpIaHRXk6kVxNIlLl5PcOG6XvCLpcu6\nOJo3hiWQQHMm1n3cIwP38djwA+wPDK2rGjq5lOGb517mdPIVqqZk2/21qYMosf51jytYilgOvrZG\n5fojB97HPz36sdX5rGSMf/ml3+Tqn74Ae5RYHY9Go2vP5re47xaO9UY0Gr3HuO1BD0L/ZBf2HQAm\nP/WpT7X5WKmqRiJbZj6mJ1nziSLzsQLz8QLLmRySfwnz0KVtvw9NEWnE+nQqYcmJPqypganWljzp\nt4trB/MbsjEbstp9UstOo0u28cJ9pMfD/j4fkZCTgMdGwG1tzkOZZNFIuOrNhKtQqjGXXWYyN8l4\n/iqLtalN31cjrnfrtLoFwVpE7phDtO9NEJBEiQ+OPMJocIiQQ1dItJmszGYXuRIf45mJHzCbXbjp\ncd4zeD8ne44z7O/Ds85M12ZQVIVEKcWykXQt5JZZyC8zn19uW5SuwCKZcVmchsywtXltkc3kqoVm\nErXeSXMFAgIeq6tpsuuxeLCKDiRF52bXy2biCY3r0wWWErcmbOGwmRjt9zHa56M35CLotRHwWnHb\nzcQzZZaSRaaX8jx3epbppfUrvW9nHN/fwbvv6uHkka4NB3sbSoO53CLXU1OMJae4lpxgPrfUtk/Y\n2cF+I8naFxik3xvZ8/k6VdWYXc5zZSrF5ckklyaSxFv8eTxOM0eGgxwdCXLHcJCekPOmSf21xARf\nvvhNLsWiLU8kUb12F2puhbasInrjyJ0zSJ6133HQz0+C3MBa7uWTo5/kkbt613TEmvtqGp/75jf5\nzuLX9iKxesfHqbHkJL/5zO9jkSz8eP/HqRUt5DIiy/E6C/ECsfoskjeO6I011Vc1DZ3qku5AyYR0\nOrupqlPIfcu6D802GEZq1apbZEjKWyZF7pBdDNj2Y9Kc1Goa2VqGbCNBWcis65Oj1SyrsbM5a6mb\nujttJgIefUY44LER8FgJeKx43WYEc5m6lCfXSLNc3DzpkgSRLlcnvZ5uej1d+rW7i05nx5bODzWl\nzkJuidnsIrM5XUhiJruwbmzZLUTcYT6871GOhg9QrldvKO61F/Y2jVOCgNfixmt1IwgCqqZRbyi6\nEqGi0FAUag2FqlpGk9b/zmiquGb+qFU0a4XOZ7NIjPb5Ge33EQqaeD75bUJOP/f0HKHL0kcqozC7\nnOf5s3OMz729isFbwdGRIA8fj/CuI114nPqcb7FWaku4Fg2z66V8jOINxsiiINLlDBGw+0iV9aJB\na1HWZXZwb88x3tVzF0c6R3eV/r5CQb8yleLKZIpLE4k2wS2X3cSR4SD7BuworgUuZy5yNbG+1WCf\nJ8JD/Sd4qP8EfruXUqXOpYkkp68s88aV5TZ/OtGZRo5cb4tRlQsPrkvfHOhyc+JuG9+K/ffmtn92\n58f4yIH2Ots3nvwBn33tSa7/zd/DHiVWa3jrLfc9Go1Gv7etA27tOY+jVxU/0LItFY1G/beyr3Hf\nABvIrVeqDWaW87x2eYmXLywwu7xJomCqIgfnMfVe2+a7Wx+aKhhJ00oSpQ/c615NeyHLqRHpU/F1\nFUlJ46Qby5vufSuqQG8FTkSONRVsAvatdY+2ippSb9Ia0uUsS4U4b8aiXFyO3vzB62DY16/7Cwku\nxIYVtWqhUjYRj6lcm86sb3K5DXidFkb7fezr8xL2Owh6bQS9Nl1wRBapVHXxi8VEketzGZ58ZZp8\n6a3zb7ldkCWBh4/38MhdPRwZDmKS13aYi7USY8kpxpKrcxGtwcwimRny612tA8EhDnSMrFE72i4q\ntQZjMxkuTyW5Mpni6nSaYosQyUqAOjoS5I6RIH2dri1/vy8tXuevzn6dyXw7Bbc+N0JjcXBDeo3g\nyGA9fGrD4/7XH/9dAnbfps99eTLJb//lKUqBJ4h+5mnY3cTqRyJOfea1v+J7ky/z4YEfQ8z08OLE\nWZLaDJIn0ewqaYqEkulAzXSgZDu2QFXX9AKfM9M0P9+rItmtwC35CdnChF1Ber2dDATDdLmCBO3+\nZrV9hSI3nVlgMjXPTGaBxcIS+foNXw1NwKy6oeKmnnNQyTk2jLeSKOBzW5sJmM9twuqqI1hKNKQc\nOSVJohpnPr+4xkrCJMp0u8P0errp83TT5QohCRJVpcpcdomZ7DyXlqNrVPj2Cgc7RnBZnGQr+Wb8\n2sxT0CZb8RlsCL/Ni8vs1ql5ig21aqFaMpFIqESnM1tTrRUbegd0RYnYUkZs0uIqIK8fdzxWNyF7\nELfJh0V1US1YuXgtQ7X79WYxWlMF3YIj24GSDeqqsLdJ0nyv8fCxCO+5p5ejI0HMhrWHpmnkqnk9\nGc8ucGbxIueXrmx6nHf13sWgt5deTzcD3p5bWhvV6gpjsxkuTya5OpXmylSqbd3gsMocGdZj1HC/\njbgyzavzZzm/+CaKpiIgcCi0jwf67uVEzzH+IfosX7vy5JrnsVY7yc910UiFNmWBie4klgOvG5+N\ngBLrpT63D5dFZ7E8eKwbh6fGn7763xhPrSpU/9Xjf4KlRZxmfC7Db33+FTKO73Lt80/AHolX/B7w\nLza5794dHPNmGAJu5HGlRkdHj0Wj0RtNWraz7xpomsZ3Xp7iM1+9sL1XWLfQWByisTgEgGAtIHfO\nIHfuzGjTbrLx4MBJHhk5wXAggqJCMlsmni4TS5eIZ8rEUiWWUyWiM2mqtW3OCgmKHjTdaeTQDIK5\nSgpIacAWWB63mlQ5TS6Ouk/i1fqo5M2kclVSWd0zI5Uvo8llXUrTk0DuvHXhitfmz3Fm8RLHug5z\ntPMAEXeYsLNj00FbTdPIN7tJ2fWrd+XMpj5ZK9U7v82L1+ZGUVUK1TLFWplSrUxZqVBT24PoeHqa\n68kZg9bpbOtO6gPcG5/4gl4bo/0+hiMeOoyEKejVK68meXWRXCjVWEjosu1PvTrN995468VBVror\nqqaxEC9ycXx9WsBeoaFofO+N2TWfxcEBP+8/2c99d3ThsNk51nWIY12HAP13sJiPtQ2gX01c50p8\njG9iqCB5ezgU2s/h0L4tJVrJbFmv8hmVvon5LEoLx7Ir4ODk4TAHB/wcHPDT2+na8iBzta4QnUrx\nzNU3OJc5RcXczm9vxHqoz49AfWORBNGVxDRkeILU7GBeu4D6tSd/m0/e8VHeP/LwGm+dekPlq98f\n40tPXUWIXEW07smi/R0dpwCeOjXFE080sByC70z9g77Rrwd1rW6isdSvJ1R5/zZp6AJa2YVSdqEk\nIvpi155FCiwi+W6fEqtasaOkQ4blgqxbgrTMpGTNaXJKiusFoFVfRQOT5sAte/FbA4RdHfT7wzzY\ney8Dx7qwm22UamXmcrqx9lRmjunMPDOZecrSLDjA0qUfyi478Js6cBBArntRiy6KGQupXI3rs5m2\n3+Uq/IAfm/UQPr+G3VNBcuTJybNk1CWmM3NMZ7Y/wzzg7SHsChGw+agrdSqNKpVGlfHUdFO1bbu4\nEtc7BIIg4LN6GPD2NBMnu+TEpNkR6jbqFTOVoszCcpVrb6YZz7bGrKpx2Tr8bguj/X6Gezx0eO3N\nWBXwWJuJAkAyX+Dq4jzXl+e5sjjHtaV5BGuRdKVEpjyJILSMUPa2R0ZB1JqiWyaiutVDohsl24Ga\nDexYxOLggJ/+Lp3hspQscu7a7VcnfuHcPC+ca1dZHul1c/yYGc21xIX45TbWjsfq1j1QHQEkUWLO\nmMM7NXuGU7OrIkMus4MBXy+Dvj4GfT0M+voIOzvW9UfL5KtcmUpyeVKPVeNzGRrK6u8h5LNx12gP\nBwf9HBr0Y3HWOLN4gdfnX+JvX73elGQf9PXyYN8J7u+7u1mMqzcUjjofJOF08XLuWyhiRW82lNxU\nnMuYhpeR+8w0EhGUWG9T2KYVai7QlE0Xanbkzhm8PSl+7p5PcLxrmK9efoJvvPzUmsd9O/oMjx/+\nMIqi8q0fTPDF71xBC40hObboAcvOEqtfHB0d/XQ0Gm2meKOjo48CnwUGd3C8rWDdKt4u7NuGF87O\n8bffvcp8fBuzJ6KCYC2sCknYC/rfOzC+bUVZKfH0zDM8PfNMc5sFF/vtd3IsfAf3HuolEnQ1Dd40\nTSNbqBHPlIil9QQsbiRg04s5FlJZ3W3endSN1G6T14dDdnKk4wCHw8PsDw7S5+3ZsN2saRrLhTjX\nU9O8NHWa00trB91vBQ21wRvz53ljfmvHFQSBzTq6VtmC3+al3whGLpMbMw7Ehu5hUS+bSaZUxq/l\nuLQpXc6QDLfnV79HxrVsz7cJSIqajMcUJGwL0+/tYX+ojyPdg3jt7W1uTdPIFKpMLuR44uUpnjsz\n2yZg8Fbi8FCAfb1eBrrc9Ifd9HQ6sZo3PxVlC1UujSd54pVJzo/d3oRrJcn5k6+sssUGu928/2Q/\n9x/tJuIOE3GHec/Q/YCupHc9NcXVFbnZxASTmVn+4dqzaxKtiL2fxViNsdk012czXJ/NkGhZtMiS\nwEiPl4OD/mYi5XNvTRlO0zTimTLRqTRXplNcmYozXbmK2DmpdyBaGhdKqpP6/Ig+C7oRxAamnmvI\nnTMIgsBDkYcRTXWem3plza7leoUvnPkKpxcu8MsnfgavzYOiarx8foG/euIKi8kigi2PtWuKeuzW\nOnob4B0ZpxRN5SunXuapy6+RlWaxHFq/KyCY6ojeOIK5gurI6pS3knsDxoOmdw0ME/iubg2Ls0pR\ny5Crp9HW0eHSamaQlF1Vnr0RorWE5sihpEOoJQ9a6cY5ZeN1N5OtUlMEQLOWSIrzJEvzjJXgxWXA\nKN5rdTNW3HhMPgK2AN3uEA8ED/Azh7ux2QTm8wtGsqVf5opTwJT+YAvIXTI9o2Hu8vTQaQ/jlTqw\nqH6KBYhniizmYiyXYiSVOdKWOdJm4/d8iwSPqcwcUztIyDbDPudhusRRlJyf8bEcFxdaO3kKkDcu\nW0eHz8aBfj/9YVezsNfhteH3WNec5zVNI1esMbWY4+nXpnn+zNwmjAyPcTEgqPrMn6Eq2eZtaCmt\nWeMIooocmkMOrX6GatFNY3EQJRsEpZ0SfqDfx6jxPvq73PR1um5qqJsr1rg8meS7p6Z548rmrJ9d\ngdhA9CSRvDHmvHHml2uwrFMp1VwHbqWX9x24h/cdP0DQa23rRqmaSryYZDZrFBjSc0ymZ7i4fJWL\ny1eb+1llCz3uCF6pA6HiIZewMT8D8fTqekIUBYYiHg4N+DkwoCdSfreVifQMr8+f588unG8megIC\n+wKD3Bu5k3t77qTb1UkyW+bqWJqr0/NGkpaloeg/GMF8EvP+04j2AmrDTOXS/UiBBZ0h1jWJHJ5E\nzYRoLPXrRSTj/DbQ7WRZ1BhwD/I77/tVvn3tWb508Rv88SufX/MxHu86wi+f/Bl+7Yn/wDeuPoWv\nvp//8dQMs8t5BHMZa88YtfjWhWp2QgX8dfRTxGej0WhudHT0M8DdwC8A7BZX/YbnfBz4hRtpE8Cj\nN1b3trOvcd8Aa9SW1sGNCZRxvZ6RrlW00+0MMxjoYdAf0TnW7u6mAzVAppzlclyvbD8/dWrHnhNC\n1Ym/PsqAc4ShYDeRDiddQQcOl8rlxFX+5vzXNlQ72m1odZPO3y94UIte1KJ7zcmqt9PJYJeHoNeK\nxVWlZkoyVY5yOXn5pscP2Hw8NvwgRzsPMODrRVUEwxlev8Qzeaaz88yVpokzRl3eXU51h6WTkLkX\nl9aFVvAxt1BlfD7LNn9C66Iv7GJfr5euQAs1z2MBU4lYOd7k2M9m5pnLL61RMxRqdhqFFcqoOzmF\nvwAAIABJREFUe0N/ptsFWRK552BIT5xCTnpCLro7HLtuqJvKVXjh7DxfeuqqIc361qEr4OCD9/Xz\n4LEIHV5bM4jVlDpjyUnOLVzh7PxV5gqzqIYwvKaBVnKj5n0ouQBuLcz+SIgDAz4ODQYY6fViMW2N\n915vKIzPZbk6nWpSMVI5XeJXCs3qBZUbFsJ6QjWMVt5sxlDjrhMqM/Ipio083a5OHuo/wbMTL5Eo\npej3RPjVB36eblcnr86d5fNvfKntnOOzenjQ/TFePJVnMVFEEgUijhzf/9ofEXrXYRKnL1PP52F3\nqYDvyDg1+i8ew9qln3A0RULNBlEyIZRsAEGu6+JG9hyiPYfoyN/U00dERBAEFG1tguSyOOl2hprC\nDN2uToJ2P9VGg7HlecbiM4xnx0nVd7aAdJvdBOxeJjPbY3UoeS9KvEfvZimb0BoFxVhol1cX3iuy\n7ubyusVFTZHQKg4suPBb/HTYgwSdHuw2AcnSINNIsFBYaKMO7QRmbFhUL0pdol4TqFQEkMu31BH0\nW33cGTyOFTfUrChVM8WczMxiiYn5LA2tjuhOIbkTiJ5km+KiWrXq36VsUJ+pVNY/T0c6nOzv89IV\ndNLhtbYwImzrzlJqmkYqV+HaTJpLE0lOXVoilrodxvYtxQJL0ZD1L9708zWLZu7rvYd+ny78EHGF\nCdr9t6wGm8lXeen8PF9+5hqZ/K0UOLUmk0f0JHRVUON7rNXM+rkgE0LN+TfsyAW9Nj54Xz/vNgSd\nbqT+JfI5Xh2PcnFhgunsHOlGDMWUa1/nqiJWzUe3PcLh8DD3jxxiMNCNoipcjo/x+vx5Ts9fbHZS\nTaLMHZ0HuDdyJ3d2HiGV0rg6pdPar06n2maE14XYwDxyDsmbQMn5qV27CzQRybeEHJ5uqqHatQAP\nR97NT971EAUlw6888R94uP8kP3fPJ3lu8hW+cOYraw79/pGH+efH/wn1usafP/81Xk1/j/rMKOry\nIF2OAi989Q8I3X+E5LkotUwG9mLGagWjo6M/D/w68Bd77QFi8NE/G41G723ZloxGo2vMoLazr3Hf\nABskVoIji6lrHMFe0E/IN6xR7bKDHndXM3nqceuDqq4dKIXlqoVmhfvScnRTM923AzQN1JwfteTR\nXdSLnjUS7k0Iqp6MOjJIwUWkDcxIW2HCxoDlEL3uCBFvBw67iGiuU1HK5KoFctU8+WqRXDVPppIj\nW8lT2ISSt5dQsgHUbAC14my6yK/MpqwYKPd3uQl69IFovyEc4nFakDagcJUqdSYXclyb0RfIr19e\nblZwEFQ9ybeveDPplzWGuIqEWnKtGuKW3DrPfBf9pga63Iz2++gJOYl06AlUyG/f8H3dDjQUlfNj\ncb76/etcuH57u1sbwWU3kS8Zi1zDb84ayGLzZ6nIcVSjnC0JIvuDQ9wZPsSd4UMM+nrXpWFUqg0m\nF3JMzGeYMK6nFvNt3xHRE0fumFt3MdGI9dBYGtjQj+W+O7o4vr8DT0eZp2af5HJ8DFmUeWTwPgrV\nIqfmziAKIj9x8AP85KEPtylIpctZ/vjlv+RKYqy5TVMklGsnefTwHXz8PSN0B1efd25ujsceewx2\nMbFawTstTu37mY9hH9YXEWrRRX1hGDXdSdt511RBcqUQrCWCPUWyrDXU3PA9BIa4r+9uTkSOUVd1\n8ZaZzDwz2QVmsvNrxFt2Ck0VUQte1LwPeyNExNGLN9igaJ1krLL9nNeq+NGSvWTmfVucQ1YRLJXV\nRKs18bKUEKQfnvnhVqwV5nBufM43VYwFehLZk2zOMwmIdNt7OBQ8yL09RzjSNYgsr1/cKVcbTC/q\nceryVIrTV5abHnlvJ0Q6nBwa9DfjlNurEq/P8Q/Xnr2pR6ZJMtHlDDXVfiPuTrpdYbpdIaymnfvK\nKarGmxMJvvbc+ObdLbna/D9JnkRbnFeLbpSMXlzRih5utZDqspsplGttxWKHzcRwj5NQpIHFXaQi\npVgqLaxRzV0PD/TeS691BLnUyexSRY9TCzlqO1FlFFTMw+eR/MsoeS+16D3cMxrhngMhnB1FziRf\n5dTcGTRNo9vVSYfDz/mlK9hkK5Iobbg+/OjA46Rngrxwdp5yo4T1+PdxCD5++5F/R194teC4nTi1\n48QKmkHrKytDwntptDg6Ovr6ShAyZGo/HY1Gf7rl79SKVO1m+65z3AHWSawk/yKmoYsIoqp3YspO\ntLJrHSW+dhwc8PNTj+1b1x9mOyjWSlyJX+fZiR9weuHijo+zWzgSGqXb2Y1HDGGpB6gUzMTSZZaT\nJcbnM8ai0agS2fJIniRScOGmFdNWrMgEAwhybcuSvias2CQ7dsmJw+TEhA2hYaVWlshlRBJJlVJe\n2lg5UVQQLEVEdxrJG9tQ8Wwn6DIPMOQZos/bzVCwi5HObrL5BuOzWa7NphmbzfDmxG48XwudcCXh\nWlGWbJHm1zR0ZaXWZKvk2jgpBpw2EwcH/fSGXM3uUyTkxO3YY7+2XYSmaVyfy/DV71/nB+dvrhi5\n1/ilx4/y7rt6sFtN1Bo1xlJTXFy+yvmly0ykZpr0K5fFycHAfjrkfqRCB4tLCuPzWRYShXU7pYK1\ngNQxj9wxt+a3pzVkGst9NGJ9a2aoHjjazckjYQ4PBgj57SzlY/z9m//Ai9OvAXC08yBBh5+XZ96g\n0qgy6OvlF+/5Zwz5+5rHyJdqnI3GOH01xhtXFymHTiMHVxf1DpOD3//A/0GHoz132MvECt55ccoc\nMCF3jyP5lxAEUEtOGgtDKKkuBFsey6FX2zqTmiroPoYVO2rVAXUzfq+J0UE3Zlud00sXqO6QMbER\nbCYr7+5/F0fDBzgU2o/dZCOWT/Ha9BUuLkWZzE6Raawm/JomoBXdKHmf4QVp0r3ROmJo1p0xD3zm\nAD2mg1D2UEpbmJ1vkC0Yi1JBQTBX9YTKlda9s9w7m1PaK2g1s878KHj0JLToaU+QVlg09sKqCbqt\noBub3gC1atXXLyUj0aq4GAx00x3wGAIcFhRLmrgyzWT+OjO52eY5yCLYMZe7SM4516XMvV1gs8gc\nHgo0Y5R+7Wyq6W2Gcr3C+aXLvDx7um3m6GYI2Hxt9irdrk4i7jB+m3dHIhCapnFldpkvvfQyb8au\nIbqTbcIxWs2Ckgs0u4t77Zn68x89wqP39OK0rz5Pvlrgzdg1zi2+yfcmX9708VrVilo0vr8Fg8V0\nC35jJw6HKIfe4HrxMkc7D/IbD/1SW1FvMR/j61e+y/c3eV0CAgc8R1Gyfq4pL4LUoD67H0/pEO8/\n2c8V8TtEU2N84WP/pW0eetcSq9HR0X8LvHezx6Pz1c+warS4bsXtVjE6OnrMeC0rnh+fbQmUfwc8\nFY1GP3+zfdc57gAw+bFP/CzDh07w4tUyeecVTD16tbU+u1/3oVIlUCRQJW61KnDfHV0c6Pfh8teo\nyHHmi3NcSYyxmF9rlPZWQCwGcQkdBK0hfX7E58frkXE6RCxWqCk1spUcY6kpzi9dJlnavYC04ouj\nNUxoDTNa3bz698rtulm/r2HSTyzb9gdbH1azpM/9dLkJuK14XBbMVoWalGGuPMnV9FXmcru3KFey\nAdRcQPcdW5GR3W2TQ0FZlfBv6XCtSXgbJuz48ZtD9Li62dfRx5HIID1Bz7rqeO8EaJrGfLzAt16c\n4DsvT71lr0OWRD768BDH9ncgigITS3EuxqLMFMfJCfNoptWFklpy6XSdbBA17wNN1Kl+/iWkwAKi\nYy3tV8l7dWf5VBg0Eb/bwvtO9DPa72N/n69t4bGUj/E/Lz/Bi9OvoWoqvZ5u+r09XImPkSylcZkd\nfPLoR3l08AEUVWN8LsvZa3FOX11mbCbd9DHzuizcd6STBdcLXMtcJWDzkSynORIa5d8/8q+ai45X\nX32Vr3//W3z1v21NxnY9/CjFqY9/4n9j+PBJzkypzGUXkbsnDIl0DU2RmgmVkvc2GQVa2anfJ9cQ\nrOWmobxOZy8iiLfenXGZHdzReYCj4YPNJPxmKNZKRBPjOiU+NsZ4erpNFMmseNEKPkp5WX/tjiyS\na3WAXCz5cGkRbDbISTOUtHU/uh86qAUPjVjvhlRHs0lisMtNnzHD5HFa8Dp1Xy6P04LNrjGXXeRa\nbJap9DyLhSWS1RgVrZ2Ct1pkM9SHjYKxVnGA1NApg95EW5dE0wQ90csYSnslN7eTbm41SxwaDNAV\ndKxeAg46/fY20YtbwYrP0xsLF3hj/jxLhfaOv27S24mqqSzkltcVDrHKFrpdnXQbnmYrtMKwK4T5\nBl+pSr3C1cQ4l2LXeHM5ykRmpjnbbZJMHAgOM+gaJjHr5NkXM9x2er/YaM7n+7sL5LUkGEm3jBlb\nPUwt5Se76EFT5KZRuejIIDqzbR02TRVWE628D7Xg2zA5dNlNvP9kPwcH/Ozv8zVnixVV4T+/9Bec\nWbjIQ/0n+Jcn/zmCILBUiPPC1Ku8OPUqy8X1mSq2ajfZ8QGUgt6JcnqryPtfp0qBT97xE3zs0Af4\n2wtf5+tXvsv//Z5f5XBoP6DHqWeeeYYvfvGLsAuJ1aeBcdqd6jc8FrtotHi7cKOM7XR6jn/71O9s\n+hhNFUGV0FYSLVXSEy9VQDDVdE73Hg71/rBBrVrRim40xaQnQ4psXJvQGrJ+bSRLKDK368QR8tkY\ningIBxz43VZcdjNmk9hUz0vnK4ZZtG4avZhobSUb3TlHFskbR/LG1pin3gr2IunqDjoY6HbT4bXh\n8algy1EW0sSry8xk51jKx9sG1QVBoNvZSb83Qr+3h35vT1M1ajfl6t9OKJTrvH55ic989cKuz2wd\nHQnicph5aVsdM136usmpd6W3tBDWGjKNeA9asof33XmEk4fDDPd48LnWp65cT07xregzbVSKLleI\nhfwyi/kYJsnEQz33MyjdzfR8heh0ion5XJN6KIoCB/p93H2gk7sPhBjs9iCKAqVamX/1xG9Rrpfp\n90QYS03xW+/5VQ6F9lNT6vzPN7/DV175Olf+8GXYeWL1IxenAKaXciSzFWbTSzw/9zxzys3nVPcS\nmgZa0Y1a8uASArjtNpx2GZtVRJYFJAkkCURJ088zggqChqopqJqqS44XZ8jU3vrOkZIN6BT3unU1\nXgkaglQHuY5griJaiwjW4rpCCbsFrWZBrvoImMN0Obvoc0cIuwKYTTJmkz4fl85XWWiJU/PxDVQ2\n5doNM+J5vdt1Y2fb6HC2snMEUdW7e54EojPTHIvQamaUXNBItAKbz7xtEZ1+O0MRDyGfvS156vDZ\nkKXbW+TTNI2F/LIxM3SBa8nJZoyMuMLcHTnK0c4DOMx2FvPLzOeWmc8vsZBbZjG/TP0GqpyAgNVk\nWSPDvwJJlNgfGORwaJQjoVH2BQbWGPyCPipwJhrjc1+/uOuiVAeGncjuDFcT15FcaQR7bnWOSxX0\nOfpcQC/cFD03KWxrunS+07BtcKUR7Pk2Fo1asaPmfYwGh3l43xHuHR4m6N3YxB6g2qjx28/9MWPJ\nSQI2HwG7j2vJiU0fA9BYHGRQvJd7DnRz94EQwz1eEqUEv/X9PyJZSvMr9/0cqXKGL577H/ybB36R\nEz3Hmo/dzY7VtowTd9No8XbhxoDVUBWen3yFVDlDValTbVS5Er/+tp95eqvRSHTrP7a87y0VTXhb\nQDCCkCuF5IsjeXdXjlXJ+VBzQaO6qJsm6p3UVQQ9VkYH/Bzo9zPa56MzYMftMG8amKqNGrPZdkWs\n6ez8miDgMjuaidZK0tXjDq8bAN6OKJRqLCaLLCVK+nWyyEJCX5SsN1gsS+Lq7NJbCMFaRAosYIqM\nb7rfY5H385NHP0DAvXlwUlSF0wsX+YdrzzZll7ucIVwWF8v5BNlaFgERb22EwlQ/uczqd0wSBQYj\nHg70+TgyHOTO/R0bGi1/48pT/M2Fr/FQ/wlenH6ND448wl3dR/jCma+wVIhTS5dvySD4RzFOrYfZ\n7AK/8fSn2wxA/xFvLbSGbMy5uvXrhkk3VLaUjZmu8uqc1zY6h5oqoqQ7UTNBY3bWAewk6dDAVFul\nETbVjfNrisOaKqKVHWh1K4KpohcWW4qJemLtQTH80rTizbtZK7LrKwp84YAdt8PytmVJZCs5zixc\n4o2FC1xYukJV0bsxPpuHE5FjnOw5zsGOESRRQlVV4qUk5xYv872Jl246ywXQ74kw6Ouj291JwBJE\nbriplSzEkhWWkiWWkkXmYgVSubWJ2c7ilKZ/F42kR3Sm26mHhsS5kjMKvXnvLRd4uzosHD4iIbkz\nJOoLTGan2tYYbouTQx37ORzSLxF3uFnI1TTN8Oi6xHfHnr+pzUBjfoRu8RChSJ0Z8RVyjQwRV5hf\nPvkzjAQGmvvNZhf4zWd+H1VTeWTgPp4af4F//cAvcLLneHOf3UysBm6V874bx9hL3CxgzWUX+bUn\nf/u2v65bgaZIOpcVECQFwVRFMO9uVUMtO2jEepsB4+3Ku37bQaoj2gqI7iSSN95Us9ktqEWDKlb0\n6J2uqq3tf+OwyridFjwOM26HTh9xG7fdDnOTTqJvM2M1SyRKqZZka57p7DzLN9AjJEGk2x02ulqr\nHS6vdTO1ub1BqVJv+r3FDNuBWLpsJFNFCuW1C09BgA6fnZ4OJ5EVIQ7jdsDTLlNbrjaYWsjxvdOz\nPPnK1N69EUFBdKX174k3jmjduppWlyvE3d1HuTdylNHAcJuqVaKY4unrP+B7ky+Rrer0KYfgQ2kI\nVMiDVEdTRJR4D42lQbSaremPdqDfx2ifn6Eez5bVCqOJcf79s/+F9w8/zFPjL6y5fxcSqx/5OAUw\nnprmd1/4M/LV3fcFsyo+SmUVRAVEVS8erdwW1bYK9NsJWs2iK6WlQ7ranaAiWMpIngRSYBHRsbv0\nQSVvUJyKHkOZdXPfwZZXqs/INgU0ViXkWztEW3sNPtR0CCXToTMddphw6fPSN3S3rIWtC3s0zEjF\nEHI5jKnUiYyVSrVBtlBlXfuvFtitMh4jJrmNGOVpjVdGjFrZx26VbzuLotaocTEW5dW5s7wxf2GN\nOIJJlLHKljafS6tsYX9giF5PN3bZTqMmspBNsFiIkawkKKkZtBt+S5oqGKwVB2rZgUP0EXaEGPB1\nM9AZIGLEqaDH1uZnWKk1mFnK89yZOb71otHNERstNL11qHqKtErTM77HuyF29fMfPcJ9d3SvkXwH\nUFWV2dwC0cQ4VxMTXImNtSVMZtGEBtTV7RWMfvbgL/Lu0SNNifxKo8qXL3yDJ8aeQxRFPnXn43xw\n3yPN1/PSzOv8yStfaD7+/3nfbzDs72/+vasdK+MgX93WO1p9/OPA+FYND98KrASsT33qU7z3ve/l\n5MmTbffXlDr/8bk/IZpYWyU+2LGP412H6XGH6TRM1GLFBGcWLvHq3Fkylb3lfKsFD0ouoAsRVO2g\nSAjmiv7DcaW2TBvaLawY8Kl5vz4kW3Hu2vzTOx96YO3oqmMNpCiZ53d9ZkBUzZgqnSg5L+WcBaVi\nMxQMN/4fmWSxmWR5HJZmkLM7BBpyliIJskqCZDVGrLxMTW1XJvRY3fR7Ii10wggRV7ht4HSr0DSN\nUqVhSOyXSWYrTbn9RMYwzk6X102cVt5Lp99OOKDTS8IBO10BB2GDo99QVLKFGpl8lVS+Qso4/srz\npXL6tuKeybprCNainnR7EptKAyupUFNad4Wj7nCq3HUvlC3zXM+ONaupNslBUOyjWtXIN7KUTYsg\nGNLSdV3Qpal62jATqI9y2HMPI+EQvZ0u+sIuXPadU3zemD/P7//gM+ve55TseKZkvvO5r8MtdKz4\nEY9TiVKKz73xJc4uXnpLXt9eQK3YdTpezYpWt+rXNStazWIo/6FX241YJ7pSt+wfuRvQ6mbUit1g\nExiiIRV9YbzjRaqgrKoYmsuI9jySL7atgqlWN+uG0UUPWtWmf5ZV2zZfk97hCHTWcfmrSPYCFSlD\nppZcV7L/Rrxn8H4eHbifgKWLTN441+YqpHMVMvkq2WKNXLFKtqBf54q1NtPZjSBLLXHKaRQNHebm\nNrvNhMNmwmE14bSZsFtNOGwyNsvOEzJFVZjLLTKWnCKaGOf5qVMb7tth6qFXu5tGzkM8XSWeLq2q\nxLZCUJFtZXwdDeyeKpKtRF3OkVdSVNW1XSq75MAl+bBoHoSqi0bJTjlrIZ2SKFUreufRkUV06BYM\ngq3QlqSrVStqwat3GvM+fWZuh2u2jzw0RENRbzqvbDFLPP7ICPcc6iTosZEr1cjkqsTSJZbTJZZS\nOSZKV0nazqHJ61Mm10PE1YXVZGY8Nc0n7vgIHz/0oXX3u7B0hf/31BfIVQs8NvQgP3f3J5BECU3T\n+N0X/ozzSzql+ouP/zFWWT/P7OqMFcDo6KgH3fsjDfzdRsO1Lfu7gZ9Gd5b/i7dzFRC2Vgm8EYVa\nkcuxMU7NneXVubN7Sr0IOQIcCY3itDhoqArFWol8tcB0dn7HohGahj78XnLpiZepimgpt3FpdxNq\nyYmSCm9Jge4fsQ4MI0SzJ4clkKThWEITd39x7zMFCUg92NQAasVGvWSlVJDIFerkijXK1Zs9p6YH\nfnseyZHH5CyCLYdmau+0CIi4JD8Bc4hOW5iQtRO33IGs6RXNclWhUmtQqSmUynXS+WozsdlMytdq\nlujw2Qn5bPhcVmxWGatZwmbRA6hJliiWa+RLdbKFKplCVb/OV8kUatTqt38uUjCXdeUnd0qf09tA\nCVNrmFDSeuV91L+fclljanGTU7GgIHqSmPqubtjpEjUZVdCfL+Lo4UP7HuGRkRNrhqtvBYliil/6\n9m+u2e4w2/nYwQ/wwZFHiC3FblkV8Ec5Tl1LTPB/Pvuf35LXdTNYZAsuswOX2YHTol9bJCvZcoFk\nKUu6nKPUKNCgtu7jNU2A+opg0cpcrkmnPksNfaZZroGpptPTbpPxPeiJn1azgCG0hCa2yLeX1+3i\ntSVdFQda1Ya6wizYSLV2KxAbOlXYk0DyxbbNhFCrVv31tCSvrQktDdPmr82gvwu2ArKjgMVdAkue\nhmlzD82QtZMHuh9kNDhEtyeE02rGZpGRDMr6SjEtV6yRLVbJFVoTL2NbsUausHp7O7OxoqDLieuJ\nlp506X/L+t/GdrNZIK8mWC4vsVxeJF5dItOIN/0IAQRNQqr4aORdNFRjXeXMNFUaV3znhGw3AbGP\nsNeDz21pxiebRcZqljGbJIrlOoVyjWyhRrZQJZ2vkC7nyDVSNOS8XoCzFfUO4jpeqhtBLbqN+UEv\natHbLFDsBQ4N+qnVFa7P3eS7KNUQXRmdhuhKtwnUbAV2k41SfbWg0iposRFSpQy/9+KfM5mZ5V09\nd/Er9/0soijy3bHn+cszXwbg7376v7Y9Zk/k1kdHRx8DfgrdMV4DJoAVnegAeoDyoQe2v4hGo9/b\n0oHfYmwWsAq1Iq/NneO1uXOc+SGrBA56eznYMcKBjhEGvD0E7f62LoGmadQaKqVKnXKlQanSIF0s\nci0+zURmksXyHBl1kYawuxTCVihp3dhSqzhRy44t+o/cHtgsEp1+h+EWLyFLIpIooGm6/0ShVCNt\nVNtyxfUXBbcFYkM3P7TnED0JJG98z4RTfHIHATmCUwsh1B1Qt6LWLNTqKuVKw0hQKpSrNzy/VNc5\n/K2eW7b8GkqJVjMbBscr3ltuvcr7Q9r1jHQ4GOz2MNDtxmU3U6srzOUWOLdwjVRjAcmb2NSOQMn5\nDQPYIFrZxZZ+G4Kqd7x8y0i+5S0JqvyvR3+Cj4y+75ZNMFsxl1vkm1ef5rnJV9q2B+w+PnHkI9wT\nOYrDrM+A7abc+o9anNppUmU32TBJJhpKnYamgqY1O5xbRa+nmyFfHwPeHhxmO1bZgtPswGVx4DDZ\nMUkymqZRUWrUGjUqjSo1pUalUWu7Ltcr5KoF0uUM0eTELavManUjCRC0bdl9ALoaX7JrfTsVuaYv\nlA21M9GZaZe1VyRD8cyDVnLryZag6ovgVnPijZIuRTI6STqToDXpupHSvQKzSaIrYMfv1gtJrXFK\nVTXy5RqJUpKMskzFuojkie9IZElTxRuSLb1rqDUvZn2bckMCZrx/wVpEdGZ0k/KbJL+NZNiwtnFg\nx4tb9uOyW7CYJMwmybgWW26vbBd1erIgUKrUKVUaFCt1ytUGtbpCpaZQrjSaRbUNEzCpptMe7Xk9\nrq50elpet6YKhny9y5AS19U319IuNQRHzjgfLyHaSs3Hq9kgSrqzjXVwU7So/DbVfh3ZLVvTgJHc\nlx2GBYMDj8lPv7+L0XAPXqeVekMlX6pxLhonOrPLQjKion+ejiySK4Xkv7kSdsDmY19gkIMdIxzs\n2Eefp5ulYpzLsWu8GbvGa3Pn2kRC+j0R7o7cwbHwYfYFBpHEDTzY6hV+78U/53J8jA+MvJufvfsT\n/OFLn+PUnC63f1sSq1YYnhtDgNfYlAEmotHo5LYP9hajNWBZ/XaeGf8Bs1nd/OzGOZK3CyKuMEP+\nPoZ8fUTcXQTsXjocgWbbcregaRqLhRjR+DjR5ATXEhPM55balOP2AkFzFz3WIfzmDjyyH5fJhyTI\nKy+qbV+TLCJLujpSsVKnUNJPpK2XUqVOpapQqjYoV+qUjBPtVigGrRAE3SvDbpGxWfWqls0iYzFO\n8BazfoKXRIG6otJoqNQbKrWGQrZQa1IebpuBothoBnPJndI7I7a9M1HWahad31/w6hXZmk43WX/+\nTtMXGbaWZMueW+PBoitUOW8wOnZBY+8qbbsGuaZLzzr0RZjk3dysWC24UfKG2lLet3WKjlRD8iYQ\nPbpQymZBVtNoKpmC1lxkuc1uHhq4h4f6TzDo69sRPUZVVU4vXuTJse9zcTm65n6Xxcl/eM+v0ePp\natu+Vz5W79Q41ZpYlesVvnn1aRbyy8SKCcZT0zc9lsvixG6yISIgCPpFvy223BaoK3Vmc1s3F94t\nWCQzbosTp8WBKIjUlQbz+SUU9dbOm0dCo/R7eshW8iTKacZTU5vObRz2HOO4737sggem6GzfAAAg\nAElEQVSlbShIv61qKplaklhtgXh1gVhtgUy9/TduFe0EzWFC1i7Ctm46rd0odZlYMUmykiBbzZBX\nspTULBUtT00soInrvyatYWpJuGwt3SXjPFtf7XjZLDJ268rF1BanzCYJSVaoiBmySpK8mqSgJikI\ncVTh1tg3miqg1VuSrlpL4tUw69uNDp/oSmHqmrxpd23Vh61VqdCBVnWsEW3aFsRGc4asmajYCmvo\nlZoi6klU0YNaNERIyq4dFPwMhVffMpJ/GdGeb74/NRdASYVXkyxjFluwFhFsRcMiobhK2W6BWrXq\nsbFsxMii25jtw5jbK7Z0uFaULNd2uW6c5Wp+5hXHzvyy5CqiM6t7g/pibbNcG35CDZOeqJacq95t\ndSv9YRc/9sCg4VPmas6SzWTm+YOXPstiYf0EzWayckfnAY6FD3EsfHiNDUSpXub/evYPmMnO8+jg\n/U1fLlmU+duf+tO2fW+bQfA7Aa3cde2YnQuFa7f9NciiTMQwlut2rzp7d9j9OMz2t5W0daleZiI1\nw3hqmuupKcZT0yRKqdvy3F6rm3sidzLiH2j6Qjgtjps/cAPUG4pOIyjWyJd0CsFKpWvN7Wr9hm36\ntXKzKdy3LbQmBVR0ZvSky5PY1pD0TqCW7U2zQJ16YiwKVoLUut2twlqFqlvsbvndVrwuC267GatF\nwmpQMSRRQFE0veCNLjkvAAggCoKxXWh+Tiv31ymTUxPktQQ5NcZifRyVzecb+1z9DHoG2B8Y5nBo\nhKDLjdkkUW8oXJvJ8N1TU3z/9Nw6j9QQ7Dldgt0bv/lwuwZdtn56TPu5eEYmndaad4jONFJwUTeb\nNar7LsnHycjd/C+HH6bb3XHTzzJZSvP81CmenXiJeHF9s+uIO8y/fuAX6HG3J1Xb5a7/qOJmM1aA\nLl1/6VsbHkNoSaTsJhuyIKGioWkqmqYZt7WW22u332pRzSpb6HQEm+ftlfWHIAiomoaqqVTqFbLV\nPLlqoc3XajcgiRJBm4+gw0+HI0DQ7qPSqDGXXeDc0uZy9R/a9x4e7L+XAW/PhgqopVqZifQ040aM\nHE9NEb8hPgbsPoZ9/Qz79cuQv6/NiLRQKxIvpogVE8QKSZbycRbzcWLFJKlymoa2fvIjaCKyZkdS\n7FCzodUs1MsWqkUTSnWLlD7ZUAi0txgOr6MQ2Ao9UdItUwRBjyuCqXrTzlTTs7Ju0Ch3MIrQpDBW\n7KgVR/O2rkws0lQ9tK4mFaK1qL+vdebx2o2UjSRlxwIgm0Ow55C7JpEDWyteSJoFO15cYhCXGMCu\n+XAIfkyCpS1O6b/x9eNUUyZfUKmJecpkKGlp8op+ydY3mOWS7XQ6OuhydtLr7aLX20mno5NUUuXb\npy9wZv6yLrK0DTEYtWpFzYSMRNWJzxTkpx87Qr2u8M0XJ1hObSzW5HaaOHpvhQvl56irdT5y4H2E\nHEE+f/pLfPzQhxjx93Nu8TLnlt4k1hKTBr29nOjR1RtX1AZbBeokUUJRFWwmK//943/UfNyuz1i9\n09FaCQx2BrkU0xOr5hcVgUqjwlRmjsn0DJlKHotkxiKbscoWLLKl5W8zZsmM2+LCb/Pit3nxWl2Y\nje3yBi3JH3ZkKjk90UpOMZ6a4npqeo1Czl6j29XJ0c6D9HsjdDqDdDo7CNh8u0pvuhGapukdqbpC\n9f9n786D5LjuPLF/M+u+q6tPoNFAdwPoBAjxAAUKkkaUhgKoy3MtqaUclk141yRndoP4YzZGmlF4\nw+uwI0ZSzGz4D8oeSWDELmjPeCSNpBnv2CORBKURSVEgQfAm8HB0N9D3Ufd9ZfqPzMquvqv6qOpq\nfD+KUlVlZVU9NLvrV++93/s941IoqsgXSvq1eUy/5Av6/WJJRamsQlU1lMoayqqKcllDqayirGoo\nV46pC8fqZZVlWCwSLLKkp4dYJDNNRJYlQIPxRUYPs7Ks/76rmv7VSUMZOS2JjBZHQptFTJtAHNNb\n/SNckUNyocOxB3vde9Hr24uQOwirVUMBWcznZjGRnMJYYmJZh94iW9Dr60FfYA/6AnvNS5enHbK0\nNb8HZbWM6dQcbsXGMRobx3DkNt6dubLu82yyFR/dew+GOgahdAxiINhXcwEPTdMgpm/j5x9cxpvj\nHyBrm103xUlTZX0UNGoUuFiSS//5jx/A/m4fLlwaw/BEXE8hDMzB0j6ljy4aRW+kVDse6PkYvnjs\n4zjS12GufSiUCrg0+R5+OfJrvDN9ZdUv3LIk4/eOPIxH7vriqjPq2zVjtZvUshZ4OjmLf7r+S8xl\nIginI5jPRBZVJKsmQULA6YPT6jBmqWTIUtWslXHMnNGSjMeNzlmFVbagUC4iV8pjNh1GulB75crV\nWGUrOtxtCDj9CDh9CDr88Dt9CDp9+jGH37xdaf9KkvkUppKzmE7NYSo5i6nULOZS85jLRFYtLCVJ\nEuyyraa0yNODn8JQx6CROdKzaspRIpfEzegtYzBSv44vef8ebycOhg5goK0P/cE+9Lf1we/wLnst\nTdMQzyX0/8aZKOYzUYSNy7xxLJZLrPr3aJOt8Nl98Nn98Fq9cFu9cMoeOCUv7HDDDhcsqr7eS49N\nGkqlMlKlBBLqPBLlMFJaBGktgixi0KTFHV+L6oRDDcCuBmDVnLBodsiaHZImoyznUJLyKEtZ4zpn\nHMtteqasXlbNCZfWBpfWBqdqXGtBWDS7+bOzWvRsGJtVNjNjbFYZNosMq3HMYbOY2SueqiwWl8MK\n2aIhUUggmtP/+8xl9E7yTGoO06k5xPNrrz+reGjgk/iDo5/HHl/Xdv5IAADFchEzqXlcnb+JK3PX\n8aGxMfxmaGWLvjVAIgQt79aXfdSYcXLqgT4M9gbw8lsTuHpLb4dkz8A28AEsgTC0khWF4bthz+zF\n73x6H36WfBb7g7349ue+ob+3pmE6NYe3pz7A5an38f6sMGe+9/i6cHLfcRwK9eMvX/0eAODu7iN4\nf0bgaOch/M+f/XeL2sIZqzpspHgFrU3TNMym5/UZrbA+szUSHas7h3+r2C023NN9FEc6D6LH26V3\nvDwdcNpW3iyV1lcoFxExgvnt+CSuzt3Elfkby74wbCcJEmRZNr/slcqlFb9QOCx29Pp7qjpbeser\n3dW26peyQrlobPg4jfHEFEaj43hz8r2aR+xP9N6Lg237zZTdQB1l50tqGaPRMVydv4Gr8zch5odr\n+rlqBQfK8Y6F0tJ1VPva1+XF0f4QJufT+GB0BpbQNCwdk7D49c6rVrKhHO6BXfNi334NYwWx7s/i\ni4cfwu8op9DpaV/xcVVVcTs+iVfefw3/6xP/HmDHalUbjVO5Yg7z2Sjm0/rfauUSzkQxn46goBb1\nwZSq2SnVuL3S/dX+mzusDjgtVYONVQOPxXIB82n9i2WhhkJPEiSEXEF0eTvQ5WlHt7cDXZ4O83M7\n4PRvOoujUC7qP4t0BHPpMOYyYcwZnVF9ZiiGjXw32h/oxUf33o2P7r0bh0L9Kw7saZqGSDZmzGgZ\nl+itZZ3Sdlcb+tv2mZ2tgbY+dLhD6/7bS+USIrk4wit0vqLZOCK5GOK55JqzgRbZgqDTjzZnAAGn\nD36HD36Hd9Ftj92NdCGDWC6B6dQsbscmMRafxGw6vOz3xGV1Yq+RZdLr1y+VasoW2YJiuYhEPoV4\nTp+pTBVSSBmFumZS8/jVrYt1/FeoX8gVRH9wH0LuNjgtdtitNtgtdtgtNuOy+LZFtiBTzCKZTyGR\nTyGRSyKaiyOWSyCWTSCaiy8qqFBNlmR0etrR4+1At6cTPb5OdHs70e3pQI+3E9FcHK+NXcZvxi5j\nOHpb/+8hybir6zBO7L0X9+05BofFjpJaQkktoaiWUFLLKJZL5rHK8UKpiGwph0wxi2wxh2wxh0wp\nh6xxP1PMYj4T3ZaBcEmS0OEKoc0RQiHlxOhoGfm0c2HvzXpTKeUy2gYmUQgJqFIJ5Xg7iiPHoBUW\n9mu0H/0NZG8c2nufwyOfPoL7hjpxuK/N3BctXcjoVbsn3sLbUx+s+nn0bz/2OH574BOLjrFjVQd2\nrBqjUpp0NKqP9I/GxjAaHUN6yYePzWKDLMnIl7avaMZSDosdQx2DONw+gL2+brS79Z28213Bltn0\ndifKFLKYz0QwnZrDjcgorodHcD08UtOXq0Zy21xw2ZyQJRnxXKKu9nV7O3Gs8zD2B3uxP7AX+wO9\n8Dt9NT9f0zTMZSK4aaTV3giP4kZktKY22C02HOsawj3dR3FPz1G0Ozrx4UgE/++rI7h0ZabmNqxm\nf48PkcIMivveqLmM9dHOQ/hM/yfwib774aoauMgVc7gVn8BodNyc7bsZuQUN2qb3sboT7JQ4tVKq\noNVi3dCMsKZp+hfn9DxmUvOYXXIdzkZX7NzYLDaEnAEEXQG0uQIIOQNocwX12y7jtjMAl235njm1\nKqllRLIxzKfDmE2HMZ+JmOl5H8xubLnA3d1HoHQcRNDpg9fuhd/hMa719WTRbAwj0TGMxsYwEh3H\naHQM0dzi9Udeuwf9wX3ob+vDgNHZ2uPrWnW2bDWqqiJRSCGWjSOaiyOaNS65uNkx0B9LoKSuXxjB\naXUgYHS4nDYHEvk0YrnEugNCFkmG3+GDw2qHw2KHvSrzR5ZkRLNxzKXDNc/uAPoX+gcPfAyd7nbM\npcO4ERnFZHLzn4dbqZIPZaaWmw8s3JOARUUZmino9OvZFu0HcTC0Hz2+LrQ5A+bfV7aYw0xqDlOp\nWT11NTWrz8wl55b9Dusk2FQPckmHuW5Qy7v1tYPLKmSqsHRMwdp7HbIjB61oQ/H2EZTDewFI2Nfl\nRSpTRCyVh23/FVh7biH/4UmoqTbz3TwuG37vwUHcc6gDQ/vbYLdZ8MKNl3Huzb9Z8d/7P9z/X+Oh\nwU8uqpC76zpWxiLkRwG8BeA4gHNCiBVXPCqK8i0AX4de9ekSgD9c64dQS+46bQ9N08zNZ0ejY0aH\na3zZOg27xYaA0w+rpG9W24wPm8rGfofbB7DH16WnqDj9CDj98Nu925pyuFtpmoZUIY1oVh/pm0zO\nYDhyG8PR27gdn2h285aRIOH+vR/B0c7DONJxEANtfXV1vFVVxXR6DrdjE0Ya4S3cjN6ueUNXp9UB\npeMgjnYewl2dh3EwdGDN99c0DXPRLH793hT+yyvDmF0jZx1QzX1yZH8Ytr2113coxzr17RTSPgSD\nFtx91A1fsISSJY3J5DRuREbXfP5u6VgxTm2tUrmE+UxkWcdrLh02ZwfW+v7isNjR5qrqdJkdMD/8\nDh+8dje8Rhl4l7X+TlipXMKV+Ru4MPwqfn370mb/uXBYHfAb7fE7vPDZvShrKsKZKGbS82t2UgaC\nfcbgTi/2B/UBnuAWzOxpmoZMMVs1m6TPKCXySSSM2aV49bF8atNFRtZzX89duKfnqL7Jrs0FMT+M\nD+eu48rstUUDtX6HF0PtgxjqGESnJ4RMIYd0MWPMNKUxGh3Dzej6xV5q1eVpR5szAK/DA1XTUFJL\n5qxg5fd00f8bafeoeqyslfUKmka1zGwxi/IWrzOsCDj96HC1GX8j+t9GyBVEpyeETncI7e62LRlY\nzhVzmE7NYzqlp+VOV9JzU7OIZlcuXKLvsehYtlVIOdaB4ugxaAXXis+z9ozAtl8gf+1+qLFVUidt\neXgGr0ENTMAhO/Df3PP7+E9v/3DZaUGnH//V0Cl8ceghvHXp8u5bY6UoyiUhxAnjdgB6wHpslXOf\nEEI8W8dr92MHjATSglQhjVuxiUWdrfH45LIPGI/djW5PByyyBaVyCbPp+WUzYM1Q2RR3v5F61u5u\n00cl7R547W441lgXQCvLlfKI5RKYT4ch5ofx/qzY8Mhxq+jytONQ+wAOh/rNbRPWG5nWNA3FchG5\ncgH5Uh55o8x1Ip9CJBvDRGIGw3MTGIlOIIfGpW0u5bG5sM+/BwNt++EvuPA//vdfA1q/Y8U41UCq\nqiKeTyKajSFSNeOiz77EjLS3OBK55Lppq7Ikw2t3w2f3wmt3w+PwLLpfKSPvtXvgsbv1VEeLnvLo\nsDpgk60oqiVcm7+Jd2eu4t3pKxiJjm17Bd16DLbtx2DoAPwOD+wWO2yybSG9zWoz7utrwWVJQqFc\nQr6cR66Y169LlYv+mZI37+cQz+kdrEamgrcCSZLQ5gwg6PTDa/egrJWNtL0i8uUCCuWicdFvb1Wn\n9N6euxByBVdM4ww4fAg4fXXPcm6HXCmPOWNWeDY1j9l0GNfCw7geXntgTytZq6piOo0KlE6jAuEc\nCqNHUZ7dj6Wl/y1dt2HrvQHJWoKaCqAU3gP7gavmKV974I8x0N2Bn9/4Zzx/41fIlnI4ENyHr33q\nj1CIZmuesdrgNuCNoyjKcSzsQwIhRFxRlNNrPIXfWFuc1+7Bsa4hHOsaMo8Vy0VMJmcwFp/CeGJS\nv45PYSQ2tmzU0mf3oNffA5fNCYtsRaFUMEY9G1M+P55L4N1coqaiBhWyJKPb02GuK+jydKDNpX8g\ne+xuuKwOOK1OOK0OOK2Olp4hK6tlM7+7connkwhnYohkoghnY5hLhzGVnNkRHeVmmTUCzlaMhjeD\npkpQ00FoWY+e5pFz4xPKITx49BA+dqTPzHsfH1+p8mFrYZxqPFmWzdH2wTXOK6llxHMJvaOVjSGW\niyORTyNVqFwySBn3k4UUplKzdVcjlCRpUUfLabFjj69rS1PQXDYnQs4gVKjIFLJIFTN1fREfjt42\n1+xQY1TW00Wya296K0sy9vq6EXD6YDeKobmsTj3u25xw25xwWp36MZsDLptLHwCwuxHLJnBp8h28\neusSZtJ6uf8bkVGc3Hcc93QfwV2dQzv2+4LT6kBfYC96fT14f1bg6vxNDBtbRjitDnyy76P42L77\nUFRLGIvO4OrkBG7MTiJVSkCy5yC7V872sPdfgbZfGJ0u+7JNh7WyBbI3DntVqf/c+5/E//LWWwCA\nB4/vxZcOPIL/b+InuBUbx9+881N8ef8Xav531T1jpSiKf71d7beSoiiPAnhMCPGVqmM3AHxZCPH2\nCud/DcBNAHEADwP45mrpGMb5/QAWdY+ffvppnD17dmv+AbStCuUiJhMzZmdrLDGF8fgkZlLzy0YL\nnVYH9vi6sMfbBY/dDYukj9hEc3EMR24tK4tbL7vFBq/do0/hl5aXLG0miyTrnTKb3jmzy/patsX7\n2OhVwaqrf0mQoGoqiuUiCmoRxXJpxdvNnvmurDvo8+9Fmytgpmq2u9pqWmtRLBeRLeWrFvlmMZsO\n68Uj5m5iItmYiog7nVa2mIuPVSMXXitb9b1ZAnq/QivaUBi5e/VUDEMuPonpt3+AQtIsN7xlM1aM\nU7RRmqYhW8wt6nglCymk8hmkCmmkC5lFM8L6bE7VDLExu5MvFba8XPxOUOk4mp1IY32Vw2rXq0oC\nZuxY+Vqv/GizWGGVLbDKNuPaCpusH7NZqo5ZrHohFIsDTqsdTqvTXJOVKqQxlZrFVHIO06lZvQpk\nchbT6fm612l/rPc+/PbAJ9Dj7dQLtkAzC7tUtgKorCWUJQlY9O9aWDeVKmQQzyfMFPfKWrOosWZt\nrRlUl82JDncI7a6gvobQmO3SB1kDaHP5EXQG4LAu31dK0zTcjNzCq7cv4ddjl8w0u6DTj0/0fRS/\ntf8EDrcP7JhsGU3TMBobx8u3Xsert94w12LtD/Tic4cexIMHTi5ap7vS80emI3jpnWt46d3ryJRS\nsB98DwCg5tx6pVvH1nwPm3t5HpMvvFu5uy0zVg8rihKt3rHe2O3+jW0KZKH1T1nke5V2KIoSAXAB\nwIn1nsQUi9Zkt9jQ37YP/W2L/9sVSgVMJGcwFp/EeGIKk8kZTCfnMJ6Yxkh0bNnr+B1eKB0HscfX\nhZArCLtFT43QoOJ2bBLXwsOYXmfGq1Aurjsy5bA60OkOodMTgsvYS6aolpA3vtSni1lEs/Etr9JT\n1lSkjdffyRwWO0LuIDrd7Xon2NeFDnfITKP0Ojzw2tywrxBYalVSy0jkkojlFgJfLJdAJBszq2eF\nM9FVS1VvJZfNiW5PBzo87cbvxcJG35UvKIAEiyTDIsvQNH1jUlVTUdZUqJo+Yq2Xw5aRzKcxkZzG\nbGoet+ITK5a/tslW3N1zFPd2H8WxriH4HF5YZIv5RcYqWZaNcGbzJVwZjeBnr43itQ+W77tSnt0P\nyCV9X5Y9w3AMXUZprhfFW0dXrU7oDOxF/2f+GH/1xx+tpFhsJcYp2hBJkuC2u+C2u9CFjg2/jmas\ns6l0tvKlhXSvklrC9fAo3pn+EO/NXl1xYMoiWzDYth8emwuJfApj8cma1he3uQJGGnovDgR60elp\nr0r5s8Mu25ApZTGXDmMmNY/JxAwmklMYj0+vWGgg4PCZlfz0z+Ru7PF2osvTUfOWEdsl6NKLmBzt\nPLzoeGX97lxV8ZHZdFivAJmOrLiG9/WJt/H6xMIYiMvmxCf7TqDH24kOTxvanEGEXF60uYIrdmxq\nVSqX9MIoVSXy9WqdC2Xzx+KTa76Gy+ZEmzNgDCL6jdt6p+v4nmN48MDHMJ6YwrszV3B58n380/Vf\n4J+u/wJdnnZ8cv8JfGr/A9gf7N3wv2GjVFXFtfAwXp94B5cm3jG/U3lsLpwe/BQ+3f9xKB2DNXX+\nJEnC4J52DO75BJ74wiegaRqe+oc/RTyfRId9DyLyzXVfozR9AIAGWMqAXJn91bejqaQXqqkgvI4g\nfvbz4/jC5x+u6d+5oTVWxsLb14UQP6k69kMAfyWE+EWNr/EkgIPAsq67ZBx7QQjxkjES+JQQ4vNV\nz40A+OxKI4ErvI8KILhaMGXu+p1F1VREMjFMJmf0vU2SM5hKzWIyOYu5dHjFEcaAw4cuTzs6zTQ9\n/ctvZfQqnInhZvQWboRHFm1GtxVsslUPZL4udHra4bMv5PnbLVZzhqnyxRoASmpJz30vLuTFZ0u5\nhRz5Yt6cZdIWjcxpi0bpKtW/ZEnWO5oWG+yyDTaL1bxttVhht1hhk21wWB2L1iO4bS7zeTbZal5v\nVW63qqrIlnJVaYU5pAopJPNpJI3RZv22fiyVTyGWT9ZcLGI9TqOT3O3tRI8xE9rj68QebxdC7iBk\nSdb3ncknMZ3Uf8cqv2+V/XWKK1T/89k96DJKS1euu70d6PJ2ot0VhEW2mIUwxuNT5h57I9GxZR37\nNlfALLoy1D6Awbb9m+qUVmiahvlYDpfFDP7xlRGMTi18vEquJOyD70H2JKCmAshffWDN0u9VHast\nXWPFOEWtoqyWMRIdw4dz1/Dh7HVcmb+BbHFhtL3T0467Og/rl67D8Dm8mEhMm9tBjMenMJ6YWjH+\nuG2uhc8mXzf2ePUBqx5f56KNiQG9HLX+mtOYSEyZrz+XjiybZZElGV2edjMLpMfXhb2+bvT4utCx\nzXtIbpamaUgXM5hLRzCTmsPrE+/glVuv1/x8t82FkFEURa9GGTQ7Ogt7mPo33PHMFXOI5RLGmsEE\nYrmFNYT67Jf+WC2xrLLp7UoCTj++cOgzONw+oC85sDnhtjrhMmL3VsxuRbNxvGesO3x7+gMkjDY7\nrQ7ct+cYPrX/ARzfc6zuQhmlcslYYxnH6xNv4++v/Lym5624/qoG9cSpjaQCPgI90LwIoK0yImjk\nk/+VEOLwWs+vl5G7/n0hxANVx8JCiGWboxjnnqssIDaOlYUQq36TY8CiikoBDP0LsP4lWF/nom8q\nudKHkyRJaHe1meuiurwdRkWdINw2N2RJRqao7/URzcYxlZrFreg4RuMTDSsp77G74Xd44bfrZX31\nTln1vhwL+3NUOj4WyQKLrHfWqu9bJBmycbuS+qCZVY6q31UzHyurKspa2RipLS++bdwvlksoVC/o\nLRXM2/lyAcVyAbliHhljT45MIbut+6JZZIsZKNucAXS429DpaV+4uEPw2N2bCjzVnfxpo3M/XdnI\nNB2pqczxUvf23IXD7f3oD/ZhMLQfHe56J1I2rlRWMTIZx6vvTOK/vHITWt87sHZMojg1gNKYsuJz\n/vevPQS5lNjyjhXjFLUyVVUxGhvHh8YmrVfmri+afW5zBaC0H8RQxwCG2gfNCqW5Ut5Ijdc7WhOJ\naXMQZ6XPE5/Da3a09vi60GPc7vK0w2Nf2B8oXyqYqXbmJaXHyMQKX+5tshXd3s7FA0NV15uZ8dlu\nmWIWH8xew2u338Qrt99Y9by1OiwVfofXrLZXWTPtd+gl9n0OL/wOH3wOD/x274YGvErlEmJ5fe+s\nWFUnrDKgmCqk9X3B8mkkCum6vnNIkmR2slxWfV2Xy1ZZ56UvKaikbNrM1E4rMsWsuXXISmXyQ64g\nTvTeg490KbDKFmiAOahbKBUXpdbmqtJr86UCUoUUYtkEJpIzNafZdns68NV7/wUe6L1X/29WVnFr\nOolfvzeJf3xlBOns+lub/MXZB+G1Zra1YxUGcEoI8bYRINqMEbtT0NMbDtX1grW95xuVgGWUtP1W\nJZfduB8xFgsHAPzLSrUlo01PVee9r/Da/bjDythS/VRVRSQbw2x63uxszabC5v1oNr5q3rTX7jH3\nxarskRVyBdHhbkPIuF1SS/qHoVm2Vr8dzyX00qTJWUwmZ3ZUlalWY5OtZoUkv9MLX+W2w4uAw4eQ\nO2ike+glczeyN89GVMpKzxqpOVPJGUwkZ/Dh7LW6O4+VKlQd7hA63G3o8IQWRlaNfP2gK2CmG26n\n2XQYT//jv8ceVy/2J7+IX15eXqTi908GMHP91ZrL2NaKcYp2E1VTMRafxIezekdLzN9ErKoCn022\nYjB0AErHoFliPFi1KbmqqpjPRo2Z8xljAGfOHDxc6Uuqx+ZCl6cDnV5j0NAcPGxHl7vd7AikC5ll\nna3KXkarbZIbcPqXzch3GCny7a62pqcYVptOzeHd6Q/x9vQVfDAjzPXTFtmCwWAf+ow9DP0OnzGA\nGjNnlyIZvXBFLZ/jlXL7lc7Woo6XEasqmSAum8vo9DjrygAplItIGZ2umdQ8XjbBB0MAACAASURB\nVBp+FZen3l/x3P7gPqiaZmaFbGfp96302cHfwj3dR3FX5yEEXYGanpPKFHDtdgwvvz2BF99YXuDl\n1D0+pMdf275y60Yqxd9W0iuMoKABuB/Aj4UQtW+AUvt73gfgNBb2B/l+VX76DwE8vyRIDUCf5xuE\nvih41Zx6jgTSViiWi5jLRDCb0vO5I1l9x/tIJoZwVs+dzq0xWuS2ufQvvdUXY4RLL8SwMNpV+SAt\nlotmCly6kDEr7Om39ZmdfCmPXLmAtLGLfbKQNq9XSkPbqVxWJ9x2F5wWfbG0w2o3rvX7LqsDHqNK\nktvm0m/b3PDYXca1G84mlLmv7AMTzkQRycbN3wuzxGx6HpFMbMUOs8/uwR5fN/YaqaC9/h70Bfai\n29OBglrEbGreyM2PGPn6UYSN25FMdM0g6LQ6zEXRAYdfX7tmdy/s7WOsaVuUzlmZ2ZT1lI2SMfNY\nVsvIlQuIZmMIZ2KYz4RxLTxi7mz/2Ed+F18+9iXzvbP5Em6MxyABODbYjomJie2YsWKcol2rsrH4\ntfmbEPPDuDY/jNH4+KK1Wt2eDgwZHS2lYxB9gb0rfgkvqWWjCqvRKUrNLWRqpMOrblYecPrN1Ph2\no+BCZeCwssVIppjFbGp+YS8yo6T2THoe8+nwip9REiQEnX50uNvQ7gnpHS53CB3G7Q53G7x2T1OK\nMJTUMq7ND+PdmQ/xztQVDEdvm5/dAYfPXLt6b89R80u9ZnROKsUs9MFT/ZI0LpXbiYJ+u57Y7LDY\n9ZkkmxNuq8u87bI54ba54LY54bK6zBmmyuxS9e1sMYdLE+/itfHLi2ZGP77vfny6/yQ+0jWEtDET\ndS08giuz13B9jf0JLbIFff492OvrRkEtIVvM6sWuVL28vP7dJbfpteTHuoZwKNSPf7j6PBwWO/63\nL/2HLcvSyBVKGJlIIF8s4d7DnXXFqY2usXpSCHGu6v6jAE4LIf5N3S/WZAxY1AiVSlOVTlbYKCuu\nf+GOGlP5CSTyqTVnpSRIxoyLDz67PqplXjs88Nm95mhX5bjb5qopCFUWW5eMxdXFyu1yUd97Qy2h\nWC5Bg7H+yqiUpEEz7+u39SpKkrH2S4JkrgNb6Vh1OoHVoleGshnrt/Q9VXZern5JLSORTyKe0/du\n0Ss/Ldw2i2FkY6umX0iQEHIH9fV7noVR4UpHyufwbrh9qqrq+35lIggbv1+VTVVjRnWq2DoVqjZr\nj7cLXxr6LB4+9OCa/w3r2dG+HoxTdCfJFXO4EbmFa+FhvbMVHl70JdlusWEg2IeD7f04FDqAg6F+\n9Hg714wNlTWilQ5RJUNjLj2P2XRk1c4RoFf+C7kCRraGnp3R7goi5NbXH/kcXuNzKo6Z1Lw+4JQJ\n6wUc0hHMZ6OrptrZLDaEnAEjy8BY1+QOLqx3cgURcga2ZD3pWhL5FN6dvoJ3p6/gnekPFxX/OBDc\nh3t77sK9PUdxpONgzWuINE1DvlxY3OGqup0t5pApVarX5sxKtpmSPqu0Wke41R3f8xE8eOAB3Lfn\nmLk2cCY1h//ppf+IaDaOf/fJJ/Hxvvu37f3riVNbtkFwZQSunk0PdwIGLNpJymoZiXzK+HIeNztc\niy7ZOBKF1IoV31YiS7I+i2Nz6SNYdj2VwLxvc8FjX7it75ell9JduhGmdQdsKrgVVE1FblF59Rwy\nxRyyRsCqzALqe9ukq/a50W/XUk7f5/AaXyQW0kBD5u727ejYop3tN6OslpHMp/S9fAoL5aQrZaYz\nxaxZUr8y0lgJ3FZj7Z1VtsJusS0s3HYHMRDsQ6envaYO/XZ1rFbCOEV3ClVTMZWcNWa0buJm5BbG\nElOL0v48NhcGQwdwMHQAh0L9OBg6gJArWPNskKqqiORiiGRiZlW7yuBhJBPFvDGos9bgjcvmNLI0\nAosyNgJOP1RNRaFcMMvapwtZzGci5p5k8XUGhjx2N4IOPesjYGZ/+I1Ncv1mRkjA6Yd9k5/FmqZh\nLD6Jt6c/xLvTV3Bl7rpZxdFhseOuriHc3X0E93QfQV9g77bNuJXUMnJVBZ0qMS1byiFfKhjp5nra\n5nRydsNrlfv8e9Dh0ZeQmv8SSVq0ZtsuW5Et5ZEwikyEs7E1N5GWJRn7/HuMzaz3Y7BtP/rb+lb8\nbzMSHcOf//MziOeT+O/ufRS/e2StbQM3rykdK0DfbX6tvTh2IuauU6sqq2WkCxkkCsbi1HzVYlXj\nOmksXE1X0gSN9MCNssgWfT8so7O1aJbJYoVVti2ZedJvV0p46zNVsnGpvi1XBRoNmgZzJqwSOFVN\nA6DPkpWqil+U1JJZDKOk6fdL5dKyQhjV92spW7yU3WKDz+41y777HN6FLwFVgTro9MPv9G06UN8J\nLl68iBdffHHL11ithXGK7lT5UgEj0THcjIziZuQWbkZuYSo1u+icoNOPg6EDGGjbj4G2PvQH96HD\nHdpwR6CklhHLxs0OV/X+TtWDh+tlawD6foxehxf+SjaG3Q3VyKbIlwpGsYO8uc9YoVysuciBw2KH\n1ygk4V2U9bGQCVJJMXcbA5Eem3vV6nn5UgFX5q7jHWM2azyxsE1FwOHDR7oV3N19FPd0H0GHZ2Pp\na6qqIl1cGBSrVMJN5JOL9tCKZROI5ZNI5JOr7jnps3vQ4+tCj7fTuHSZKegW2YLLk+/h5Vuv4/LU\n++ZMYrurDXf3HIHSPohcKW8W6Qpn9VnHcDa2YtEUiySjy9OBXn8P9gX2oM+/F32BPdjr71k3bmqa\nhl+MvIb/dPkHKJSL+Ff3P4YvHP7tDf38alVvnNrSjlUr4kgg3WnKatlMIah0uBbWZmXNsuz5SmWe\n6s0wl9wvqEWUyqUNdVQawSpb4aiMnhmbSjqM/VycRqWjyiLgSk56peqR2+Yyg6rXvrm9s2h1jZyx\nalWMU7RdUoU0hiO3zY7WzcgthLPRRed47G70B/dhINiHfqOztdffs6UZDEuzNaLZhLEeuHo9Utpc\ni1Rrxkaj2S02s5Keo1J912pHqpDBrdjyAj7V2pwBfKRbgdvmQllTzQyBYrmIolpEtriwfUqmkKl5\nX0pZks2lAX6jKEaliFPltkW2mNkble1ZMsUscsX8QrZGIY3p5FxN6eP6Ojl9XVy7uw3d3g6j8mQn\nOtyhDW27EsnG8J/f+hF+M3YZbpsL//Zjj+Nj++6r+3U2op44tXNKrxBRQ1hki16swOFZ/+QaaZqG\ncmUdljFjVFSNtVnlEspaWV+PZazLWrhoi66B6l3tAQmyuau9vss9zBLwVtmqp6JZLLBKloVjxnot\nu8W2ZXtmERHtRl67B/f0HMU9PUfNY7Fs3NgfbwyjsXGMRsfwwew1fDB7zTzHJlvRF9hrdrT2B/Tq\neBuNKxbZYu4LBfSte351xkYyn9ILNhWySBcXCjnp9yu39aJOldLd+VJ+WwYEC0ZnaCNT4tFcHC/X\nsZ9WrVRNRTyfXLH8ea0qs4V7/d36XpV2D7Kl3KLfiYp/cfQLePjggxueiVuqUC7i59f/GT/64B+R\nK+WhtA/i7Cf+Nbo8y3az2BHYsSKiTZMkSU/5s1jhanZjiIhow4KuAO5zBXDfnmPmsWwxh1uxCYzG\nxjAaHcNIbAy345MYji4uT93mDKAvsNe87A/sxb7Ani3f4sEiW+B3+uB3+jb8GqqqLupo5Yy1XMVy\nqaqAU8m8X7ldVEvmQKEGo3CTpkGDnqZemfnR088rKehFMyW9kr6uAYCmoaSVF20IvRqrbMWBQO+6\ne9vqqfcWWCTZ2I9Svy3Lsrn2yW6xw2ZZuNarC7rgsjngslau9ewNr92zZlVdTdMg5m/ipZFf47Wx\ny/jplZ/h76/8HHd3H8FDg5/AA733bSg1vlAu4qXhV/HTKz9DNBuH1+7BUye+jM8OfnJHFrWqYMfK\ncP78eeauExE1UCV3nWrDOEXN4rI5caTzII50HjSPldQyJhJTuBWbwFh8ErfjkxiLT+LdmSt4d+bK\noud3ezrQZ3Sy9hmluPf6u+G2NW8oTpZluGVXU9uwklwpj6tzN/DezFW8N3MVo0YKYUktYTo9h2Nd\nQ7in+wju7j66bmXHRpAkCUc6D+FI5yH8q+OP4bWxy/jF8Kvm74HH7saD+z+GhwY/iYG29Wcj59Jh\nvHDzZVwYfhXJfAoOix2/d+Rz+P0jD2+qWu5G1RunuMaKuetERE3DNVbrY5yiVpIpZDGemDI7Wrfj\nE7gdn0Qyn1p2bpsrgF5fD/b6u9Hr60GvX7/d7mpreodhp0jkknh/VuBdo6M1lw6bj7W72nCsawh3\ndQ3hWNdhdHk6dszPbSIxjV+MvIZfjf7G3NC6P7gPDw18Ep868MCiTlK2mMMbE+/glVuv452ZK9A0\nDV67B6cPfgq/M3RqUzOTW6FpVQG3m6IozwshPrfOOQMAHsXCJo3n1qoAxYBFRNQ8u61jxThFtLJ4\nLoGx+BQmk9OYSMyY1/OZyLJzHVZHVYU642IUP2hzBXZ0Kth2m0nN4b2Zq3h35io+nL2GRFWHtcMd\nwl1dh3GscwjHupUdsQ6prJbx1tQH+MXIr3F58j2UNRVW2QqlYxAd7hCypZy5oTwAHAr143OHPo1P\n9n10xxSN2nXFK4y9RwYBnKrh9B8JIU4Yz7sE4ByAx9Z7ElMsiIgaazelAjJOEa0tYOxP9ZFuZdHx\nXCmPqeQsJhLTZmdrIjGNqeTMipX0bBYbejwd6PZ1ocfTgS6vvrl6hzuELk87nDZno/5JTdHt7US3\ntxOnDz4ITdMwnpgyi4t8OHsNvxq9iF+NXgQAdLpDxmyWfulsQkfLIltwovcefKRrCBfH38Z3L/1f\nKKmlZYUvvnj4IXz+8Gew19fd8DauZVenAiqKUhZCrFrmS1GU4wC+JYT4fNWxiBBi1dIkHAkkImqe\nXThjxThFtAU0TUMsl8B0ahbTyTlMpyqXWUyn5lYt+OCze9Dpadcv7pBxO4SQqw3t7iB8Du+unfFS\nNRXj8aqO1tx1pApp8/EuT7ve0erUO1pbVblvpXZMJmZwo2rPtJHobZTN6r8yJMC8D+gd5k/03Y/P\nHfw0DrcP7JiURmAXzljVYRBAbMmxiKIo9wkh3m5Gg4iIiKowThHVQJIkswT70c7Dix7TNA3JQhrT\nyVnMZcKYS0cwmw5jzriMJaaWVSyssMpWtLkCaHcFEXK36deuIELuoLHJewBBp3/NSng7lSzJ2B/s\nxf5gL7449BBUTcXt2CQ+nLuG92ev4crsNfxy5DX8cuQ1AHpRkcqM1pHOQ+isczNoVVURzkYxlZw1\n19SNxScxlphCvpQ3z7NIMgbb9uNYt4K7OodwpGPQnFlM5FP45chrePHmy+ZsW39wH754+CH81oEH\nNlRRsJl2W8dqe7reREREW4NximiTJEkyNrv1YgiDyx7XNA3xfNLsaM2lI4hkYwhno4hkYohkYxDh\nYWjzq2dt2S02BI30xaBx8Tt85sbxPodXv+3wwrdOSfJmkSUZ/W370N+2D18a+ixUVcXt+ATeN9IG\nP5y7jl+M/Bq/GPk1ACDkCuJIx0G9yl/HIez1dyOWSyCciSCciSGSjWI+E8Vsah7TqTnMpsMoLdkP\nzCJbsNfXjYFgHw619+Ng6AAOBPet2kHyO7z4vSMP43eUU/hg9hqev/ErvD7xNv7qjf8Tf/3uT3H6\n4IP43KFPI+QKbvvPays0rWOlKMqTAA4Cy7ZwloxjLwghXqrzZSMAlv7kawpixhQfAODpp5/G2bNn\n63xrIiKqxTPPPIPvfOc7zW7GuhiniFqTJElmZ+hw+8CK55TVstFpiCKS1TtbsVwC8VwSsVwCsVwc\n8VwSw5Fbi1LWVmOVrfDa3XDbXEsuTv3a7obL6oDD6oDDYofDaofT6oDDajfuO2CTrbAam91bqza9\nr6fDpmkaVE1FWS2joOp7aFX208ob1z3eDvjsHhzrGsKVuRu4NPkuVE1FJBvDr8fexK/H3lz3fbx2\nD/qD+9Dt7UCPt8vct6zH1wWrvGo29KpkScbd3Udwd/cRzKcj+NmNf8aF4Vfwkw//Cf9w5ef4eN/9\n+F3lYQyG9tf92hux0Ti1G9dYfV8I8UDVsbAQYtXVesxdJyJqnjt0jRXjFFGLUDUVqUIGsWwciXwK\nqULavE7m00jmU0gW9OtUIY1MMYtMMbdsJmczLJIMSZIhSRIkABIk47ZktrGsqShrZWz393qbxYZP\nHziJE733QOkYhNfu2bb3ypcKePnWRfzTtV9gLDEFALi35yj+4OgXcFfn4YbNEO7mNVbLfoJG2dqI\nECIuhHhLUZSlj+2OklNERNQKGKeIdhFZks20w3oUykWjk5VFpqBfZ0s55EsF/VLOG9cF5Ep5FEoF\nlNQySmppxWtNU6FBn5Ey/2d0oiySBbIswyLJkCUZFlmGLFlgs9hgt9jgsNhhN27bLXa4jFk0j31h\nZs1jc8Hv8MFtdy0q7hHLxnF1/iauzt3A1fmbGImN4cLwK7gw/AoAoC+wF0Ptgzjc3o9DoX7s8++B\nLG9NcRCH1Y7TBx/EqcFP4Z3pK/iHqz/HO9NX8M70FRwO9eORY1/C/Xs+sqNSMFuiY2WM8J0GoCmK\n8k0sTr/4NoDnATxr3H9SUZQ/wcL+IE82ur1ERHRnYZwiomqVjkzQ6W92UzYl6Arg43334+N99wPQ\nN/O9Hh7B1fkbuDp3E9fDIxiLT5odLZfViYOhAzjU3o/D7QM4HOpH0BXYVBskScJ9e+7CfXvuwrX5\nYfzD1efxxsQ7+PbL/weUjoP46j1/gCOdhzb9b90KLZUKuB0qKRaPP/449wchImqgyv4gzz33HLBL\nUgG3A+MUEe1UJbWMsfgkrodHcCM8iuvhEUwkpxed0+EO6R2t0AAOt/djoG0/HJvc/HcsPom/fe//\nwRsT7wAAPrr3bvzr+7+y5Xt11Run2LFi7joRUdPstjVW24FxiohaSbqQwc3ILVwPj+iXyCiS+ZT5\nuCzJ6PV140BbH/qD+8yL3+mr+72uzQ/jb979e3w4dx1OqwP/7b2P4OGDD25peuBuXmNFREREREQ7\nlMfuxj09R3FPz1EA+rqw2fQ8rodHcSM8gpuRW7gVn8BYYgqv3HrdfF7IFdQ7WW370B/sw/7AXnR5\nO9esMjjUMYj/8NAf41ejF/Gf3/ohnn3z/8Zw9Db+8MRXm7L2ih0rIiIiIiLaFpIkodvbiW5vJz51\nQC+IqmoqZlPzGI2NYzQ2htHoOEZj47g89T4uT71vPtciyejydmCvrxt7fN3Y4+1Cu7uyqXMbfHYP\nJEnCZwY+jru7j+AbL3wLLw2/io/13of7936k4f9WdqwM58+fZ+46EVEDVXLXqTaMU0S0W8iSjB5f\nF3p8XWZhDABI5JJmZ2s8Po3J5AwmkzN4M/kegPeWvY4kSbDLNtgsNuTLBRTLReORrVnqVG+c4hor\n5q4TETUN11itj3GKiO50iXwKk4kZzKTmzA2dw9kYkrkkimoJRbUEq2xBj7cLx/ccw2f6P75lqYBc\nY0VERERERLuC3+GFv9OLI50Hm92UNW3NDl67wPnz53Hx4sVmN4OI6I5x8eJFnD9/vtnNaBmMU0RE\njVVvnOKMleHMmTNMsSAiaqCTJ0+it7e3sj8IrYNxioioseqNU5yxIiIiIiIi2qSW6lgpivJ8Ded8\nS1EUVVGUsKIoPzcW/RIREW07xikiojtXS6QCKopyCsAggFM1nH5DCFF3h5FlbImIGms3lVtnnCIi\n2n3qjVMtMWMlhLgghDhX4+kbqq145swZBisiogY6efIkzpw50+xmbAnGKSKi3afeONUSM1Z1CiqK\n8giAOICHAXxTCBFvcpuIiIgqGKeIiHah3dix+p4QIgEAiqJEAFwAcKK5TSIiIjIxThER7UKSpmlN\neWNFUZ4EcBDA0gZIxrEXhBAvLXlOWQhhqfN9VADBShBb4fF+ACPVx55++mmcPXu2nrchIqIaPfPM\nM/jOd76z9PC6O9o3GuMUEdGdaaNxqmkdq41YL2ApinIcwDkhxIk6ntMPYOTChQvcH4SIqMHGx8dx\n6tQpYAd2rDaCcYqIaHepJ061RPGKKssW/CqKMqAoSsC4Owzgu1WPnQLwdw1qGxEREeMUEdEdqiXW\nWBkjfKcBaIqifBOL0y++DeB5AM8KIeKKoowoivIE9OA2CODJWt6DZWyJiBprl5VbZ5wiItpl6o1T\nLZUKuB2YYkFE1Dy7LRVwOzBOERE1z25OBSQiIiIiItpx2LEiIiIiIiLaJHasDOfPn8fFixeb3Qwi\nojvGxYsXcf78+WY3o2UwThERNVa9caolilc0wpkzZ5i7TkTUQCdPnkRvby+ee+65ZjelJTBOERE1\nVr1xijNWREREREREm8SOFRERERER0SaxY2Vg7joRUWNxjVV9GKeIiBqLa6w2iLnrRESNxTVW9WGc\nIiJqLK6xIiIiIiIiajB2rFrAM8880+wm1KXV2gu0Xptbrb0A29wIrdZeAEwF3CVa7Xev1doLtF6b\nW629ANvcCK3WXqC+OCVpmraNTdkaiqIcB3ACQNC4/jMhxMgq5w4AeBTAWwCOAzgnhIiv8dr9AEYe\nf/xxnD59GidPntzq5m+aoigQQjS7GTVrtfYCrdfmVmsvwDY3Qqu19+LFi3j88ccrdweEEKNNbM6m\nME611u9eq7UXaL02t1p7Aba5EVqtvfXGqR0/Y6UoSgDACSHEOSHEXwD4PoAX1njKj4QQfymEuADg\nnHFZ15kzZ8xgVcvi4EaeU4tGtafV2lvrObVotTa3Wnu38r34M97+99qKc3ZiB2EjGKdqwzi1uXNq\n0WptbrX2buV78We8/e/VjDjVCsUrBgF8HQuB5xKAQUVR/EKIRPWJxohhuHJfCBFXFOX0Oq9vAYDp\n6WnzwIsvvoje3t41n9TIcwBgfHx8R7Sn1dpb6zlA67W51doL7L42t1p7G92eWttssNR64g7EOIWd\n87vXau2t9Ryg9drcau0Fdl+bW629jW7PVsepVkkF7K9MvRkB6AdCiPYVznsUwGNCiK9UHbsB4MtC\niLdXee1PAXh5WxpORES1elAI8UqzG7FRjFNERLveunGqFWassCSf8SkAT6xyamgDL/8GgAcBTAEo\nb+D5RES0cRYAe6B/Frcsxikiol2r5jjVtI6VoihPAjgIYOmUmWQce0EI8dIKz/lbIcRPV3nZCPSF\nw9XWDGJCiDyAlh0lJSLaBW42uwErYZwiIiJDTXGqaR0rIURNi3UrFEU5BeDm0iC2xDCWByhttfQK\nIiKi1TBOERFRPXZ8VUDAXOwbqQQrI0e98tiAUZEJQoi3ljxvAMCLjWwrERHdeRiniIhox6+xMoLO\nmwA0RVEAPQXjJoAfG6d8G8DzAJ417j+pKMqfYGF/kCcb2mAiIrqjME4RERHQIlUBiYiIiIiIdrKW\nSAUkIiIiIiLaydix2sEURXm+2W2gnUtRlO82uw1EdGdjnKK1ME7RnWbHr7G6ExmVpQYBnGp2W+ph\nLN4+Ab2U8AkAfyaEGGluq1ZntDcEvb0PA/j2Tm5vNeN35EkAf9TstqxHUZRvAfg6gCiASwD+cMme\nPzuOUXhAg75WBkKIH6/9jOZSFCUCIFB1SALwdSHEXzapSWuq+qwA9Hb/uFX+9kjHONU4rRqrGKe2\nF+PU9tponGLHagcSQlwAcKGVRnqMilcnKuWJjQ/UFwAcamrD1vYigAEhREJRlBCAH2Hhj2jHMn7W\nEQCxZrelRjeEEC0zO64oytegl8z+ifGzfhELRQh2HKONX64u8a0oyhNCiGfXeFqznRZC/EXljvFZ\nt+O/fNECxqmGarlYxTi1vRinGmJDcaplfoloxxuEPtpTcQnAoKIo/ia1pxYDQoiEcTuC5ZuA7lSn\njJLNUrMbUqNWaWflw/8bQoifAIAQIi6EeKDJzVqPtiRYPYqdX777Dyvlxw2t8rdHra0V4xTQmrGK\ncWqbME41zIbiFGesaEsIId5SFOXhqkMPAIhWBYMdZ0nb/hCLA+6OZIywVj6MWiG4AkBQUZRHAMSh\np7F8UwgRb3KbVnMCwHBVe49jh6epVf8eG0GgbaensEAvPz6iKMqfGvf/dK2TibZCK8YpoPViFePU\ntmOcaowNxSl2rGjLLPkjeQrAE01qSs2M/We+DOB5IcQvmt2etRhtjVR9QLXKCNv3Km02cqwvYOem\nsQxCD1IvGmk3l6DvT7TTU4UqvgHgz5vdiPUIIc4ZwfUp49CLAHb0l1vaHVoxTgGtE6sYpxqCcaoB\nNhqnmApIW05RlCcB/K0Q4qfNbst6hBAjRg5tvAWqW90P4KOKojxh/IyDxu3+JrdrTdUjVUZqyP07\nOPVmGMBwpc3GiOXgTv8ZVzm900ffAX19gBDiL430le9D3zyXqGFaKU4BLRWrGKe2H+NUA2w0TrFj\ntbO1ykiPyUgBuFnJ/d2pFEUZMBZ/VvwQwOmd/MEkhPixEOJZ43LOOPbsTp5OVxTluDGaVk3bwR+q\nwysca4nF18bfXrjZ7ViP0c43K/eN3+W/UxTlvua1ijaBcWobtVqsYpxqCMapbbaZOMWO1Q5k/JF/\nDYCmKMo3FUX5bLPbVAujNGWkskDRWJy4Uw1CL19bcRB6rv1oc5pTO0VRAlW/H3+yUwOsYRiAWTXM\n+LD6u+Y1Z21GjnqsMlKpKEoQ+hew0aY2rDb3ozWCawR6WxcRQrzdhLbQBjFONUxLxirGqe3DONUQ\nG45Tkqa1yrpC2smMvOqbWFioKkH/Qz/cvFatzVj4GYLe1tMA/lwI8U5zW7X7GEFqAPrPeRD6ouCd\nOhII4wvAH0H/fR6Enns/2sw21cL4EhMSQnyj2W1Zz5K/vQD0tQLsWNG2asU4BTBWNQLjVGPcCXGK\nHSsiIiIiIqJNYiogERERERHRJrFjRUREREREtEnsWBEREREREW0SO1ZERERERESbxI4VERERERHR\nJrFjRUREREREtEnWZjeAiGpnbG4ZBdAG4CsAwkKIv9jm93xUCPHj7XwPK+ZeWQAAIABJREFUIiLa\nHRin6E7GjhXRNlIUJQDgGwCeMg59D/pmc0HoQedSrQHHeK0BIcRbAEYVRTkB4MsAtjVgAbjMoEVE\ntDsxThFtHW4QTNQAiqLcAPBXQoj/uOT48wBiQojHaniNr1UHN2NU8FtCiM9veYOXv/efADgnhIhv\n93sREVHjMU4RbR7XWBFtM0VRggAGAVxY4eHLAB6t4TVOQU+taJZzAL7dxPcnIqJtwjhFtDXYsSLa\nfqcBRIUQb6/w2JcBvFDDa/xLAD/c0lbVwRgBHGjW+xMR0bZinCLaAlxjRbT9TgN4sfqAkYf+IwAR\nAOumVwAICSESa52gKMrXAXwLen78nwI4CH0EbxjAd6HnzA8CGBRCfGOF538NwE3jvDYhxLNLTnlB\nUZTPCiFeqqG9RETUOhiniLYAO1ZE2+809A/7RwC0Qx/VA4DvCiF+st6TFUUZAFDLYkgV+qLhW8b9\ntxRF+VPoweqSEfAuKIpySlGU54UQn6t6j28BeL3SHkVRAissBB4B8DAABiwiot2FcYpoCzAVkGgb\nGSN+g9AX7/5ECHGuKlDEanyZQeijeWu9z5MAvl8VrCoiAIarRxGFEBcADCqK8tmqNj61JHg+BT3Q\nVhuGXiWKiIh2CcYpoq3DjhXR9voK9Lz1pYFkGLUvsg0CCK/ymGQEq6+vl4KxxGUA9xu3T0NPrahW\nSdOoFgMQquM9iIho52OcItoi7FgRba9leeuGwS16/QEAPwDwPUVRvrtFrwkhRKLOAEhERK2JcYpo\ni7BjRbS9TgN4foXjJ7BO2kSVGPSc95VcNoLLXwL4aCVtogb3YyGQVo8KriUIPWWDiIh2D8Ypoi3C\njhXRNlEUZRD6h/ybKzwchBGwjEW6/jVeahgrjxxKxqXiKQDfX+G8E9WvryjKowDerJTVFUKMAPi+\noihPLGn/I0teZxDLUzGIiKhFMU4RbS12rIi2gVG96IfQqyR9Y4URuqcA3G8EicBa6QxGQGlb8vrH\noZesPWXsNl8xoCjKG0ve7xL0oHXKCFYnhBBfWfIe/wZAUFGUJxRFeVRRlEdWqAQ1iJXTRYiIqMUw\nThFtPUnTaqmOSUTNpCjKDwA8WW8+eSWwCSE+vwVt+KEQopa9TIiI6A7DOEXEGSuiVvE96JWbmsIo\ndbtaxSciIiLGKbrjsWNF1AKMXeQ3UqFpaX77Rj2G5WVtiYiIADBOEQHsWBG1ku8Zuec1WSO/vS6V\nUUCWtSUionUwTtEdjWusiFqIoij3AYgJIUYb+J4rLRAmIiJahnGK7mTsWBEREREREW0SUwGJiIiI\niIg2iR0rIiIiIiKiTWLHioiIiIiIaJPYsSIiIiIiItokdqyIiIiIiIg2iR0rIiIiIiKiTWLHioiI\niIiIaJPYsSIiIiIiItokdqyIiIiIiIg2iR0rIiIiIiKiTWLHioiIiIiIaJPYsSIiIiIiItoka7Mb\nUCtFUY4DOAEgaFz/mRBiZJVzBwA8CuAtAMcBnBNCxBvVViIiuvMwThER3dlaomOlKEoAwAkhxDnj\n/ikALwA4tMpTfiSEOGGcewnAOQCPNaKtRER052GcIiKiVkkFHATw9ar7lwAMKoriX3qiMWIYrtw3\nRgBPb3sLiYjoTsY4RUR0h2uJjpUQ4i0AD1cdegBAVAiRWOH0QQCxJcciiqLct13tIyKiOxvjFBER\ntUQqIAAIIUar7j4F4IlVTg3V87qKojigB8ApAOUNNY6IiDbKAmAPgDeEEPlmN2YzGKeIiHalmuNU\ny3SsKhRFeRLA3wohfrrKKRHoC4errRXEHgDw8la0jYiINuxBAK80uxFbgXGKiGhXWjdOtVTHylgM\nfFMI8dIapw1jeYDShBBvr3L+FAD89V//NXp6ehY9cP78eZw5c2bNNm3VOadOncKFCxfWPKfRbdqq\ndjeyPbWet9Pa3cg2b2WbduvPGmjNdrfi78j09DS++tWvAsZncatjnNq9fxeMU/wd4e/IzvlZb2Wb\ntjROaZrWEpehoaHjQ0NDx6vuP1p1e2BoaChQdf+NJY/9YI3X7R8aGtLGxsa0pX7zm98sO7Zd5wwN\nDa17TqPbtFXtbmR7aj1vp7W7kW3eyjbt1p+1prVmu1vxd2RsbEwbGhrShoaG+rUdEGs2c2Gcanyb\nWvEzqNbzdlq7+TvC35GtOGe3xylJ07R1O1/NZuz3cRNApbES9BHBw8bjPwTwvBDiWeP+fdArLFX2\nB/n+KguIoShKP4CRCxcuYN++fdv671iLoigQQjTt/TeK7W6cVmwzwHY3Uiu2eXx8HKdOnQKAgSVr\nlFoK49TOxXY3Tiu2GWC7G6kV21xPnGqJVEBjg8VVKxgKIR5bcv9tAJWUivXnpKFPA54+fRonT57c\ncDs34+mnn27K+24W2904rdhmgO1upFZr88WLF/Hiiy82uxlbgnFq52K7G6cV2wyw3Y3Uam2uN061\nxIzVdtopI4FERHei3TJjtZ0Yp4iImqeeONUS+1gRERERERHtZOxYGc6fP4+LFy82uxlERHeMixcv\n4vz5881uRstgnCIiaqx641RLrLFqhDNnzjDFgoiogU6ePIne3l4899xzzW5KS2CcIiJqrHrjFGes\niIiIiIiINokdKyIiIiIiok1ix8rA3HUiosbiGqv6ME4RETUW11htEHPXiYgai2us6sM4RUTUWLt6\njZWiKM/XcM63FEVRFUUJK4ryc2P/DyIiom3HOEVEdOdqiRkrRVFOARgEcKqG028IIVqqw0hERK2N\ncYqIiFrig10IcUEIca7G06WNvAdz14mIGms3rbFinCIi2n24xgoIKoryCIA4gIcBfFMIEV/vScxd\nJyJqrDt4jRXjFBFRC6g3Tu3GjtX3hBAJAFAUJQLgAoATzW0SERGRiXGKiGgXaolUwHpUgpVx+y0A\n9yuK4m9ik4iIiEyMU0REu9Ou6lgpinJcUZRLSw5r1UFsNadOnYKiKFAUBc8888w2tZCIiJ555hnz\n8/bUqVpqPewejFNERDvfRuNUq6UCLlvwqyjKAICIkZ8+DOC7VY+dAvB3tbzwhQsXmLtORNQAZ8+e\nxdmzZwEA4+Pju61zxThFRNTiNhqnWqJjpSjKcQCnAWiKonwTwAtCiJeMh78N4HkAzwoh4oqijCiK\n8gT04DYI4MmmNJqIiO4YjFNERCRpmtbsNjSVsTHjyOOPP47Tp0/j5MmTzW4SEdEd4eLFi3jxxRcr\n1ZYGhBCjTW7SjsQ4RUTUHPXGqZaYsWoElrElImqsO7jc+oYwThERNVa9cWpXFa8gIiIiIiJqBnas\niIiIiIiINokdK8P58+dx8eLFZjeDiOiOcfHiRZw/f77ZzWgZjFNERI1Vb5ziGisDc9eJiBqLa6zq\nwzhFRNRYXGNFRERERETUYOxYERERERERbRI7VgbmrhMRNRbXWNWHcYqIqLF29RorRVGeF0J8bp1z\nBgA8CuAtAMcBnBNCxNd7beauExE11m5cY8U4RUS0e9Qbp1qiY6UoyikAgwBO1XD6j4QQJ4znXQJw\nDsBj29g8IiK6wzFOERFRS6QCCiEuCCHOrXeeoijHAYSrnhcHcLqW92CKBRFRY+2mVEDGKSKi3afe\nONUSHas6DAKILTkWURTlvvWeeObMGZw8eXJ7WkVERMucPHkSZ86caXYzGo1xioioRdQbp3ZbxyrU\n7AYQERGtgXGKiGiX2m0dqwiA4JJjDGJERLRTME4REe1SLVG8og7DWB6gNCHE2+s98dSphfXGTz/9\nNM6ePbvFTSMiIgB45pln8J3vfKfZzWgWxikioh1uo3Gq1TpW0tIDRtnaiBAiLoR4S1GUpY+9WMsL\nX7hwgWVsiYga4OzZs2anYHx8fFGHYRdgnCIianEbjVMt0bEyqiidBqApivJNAC8IIV4yHv42gOcB\nPGvcf1JRlD/Bwv4gTza6vUREdGdhnCIiopboWAkh3oIegP5ihcceW3L/bQCVlIoL2986IiK60zFO\nERHRbitesWHcH4SIqLF20z5WjcA4RUTUWPXGqZaYsWqEM2fOMHediKiBTp48id7eXjz33HPNbkpL\nYJwiImqseuMUO1ZE1LLKahnZUg65Yh6ZYhbZUg7ZYg75cgH5UgEF4zpfrtwuIl8uoKSWUFLL5nVZ\nLVUdK0PTNGiaBhVq1W39WgIgSzIkSYIkSZAlGTL0a6vFCqtshU22wmrRr22yFXarHU6rY9HFYbXD\nZXXCY3fDY3fDa/fAa3PDatnaj2VN06BBM+5UrrTqu7AY/x4iIiLaOHasiKipymoZyUIaiVwSqUIa\nqUIGqUIG6UIG6WIaqXwGqaJ+P1VI6x2o4kIHaqtZZIvZWTI7T5AgSTIk6J0RTVOh/v/svXmYJPlZ\n3/mJI+87s+6ju6qvnOmeq2dGGo2QdSFhYAEvsAJs74MWgwx4JT+7YIOxF6+fvQDb2M8+YC8gg1bA\ng8Eg4bVsJOQZJFqDZkaa6e6Z6Sv7qOq6s7Iq7ysy4/jtH7/IrKyuqu6q6urpnlZ+nyeeiIyMjIyI\nzIj3977v9/2+CBwhEEI6X7ZwcIRz19/vUXXppKkauqq7k4au6ZscM6/mxXQs2q4D2bZN2rbpOpFm\nd53t2Hf8TgUFr+7Fp3nw6T58mhef6wwGPAES/iiJQIyEPybngTipQJyIL9x3yProo48++ujDRd+x\ncvHZz36Wj3zkIzz33HP3+1D66OMdD8NqUWqWKRplSkaFYrNMpVWlYtSotGpyuSWX6+3GRkblDvCo\nOkFvkKDuJxmIE/D4CXgCBHQfAY+foCewyfHoOAhezYtP9+DT5LJH63FYepwX9S4zN47jYDkWpjtZ\ntkXbblNollitrbNaX2e1tk6utk62vka93diyD9OxAGjd2R/aEYPBJHF/FK/mwaPqm85JcdXAe0/T\ncmwMq0XbMjHsFmWjgmG3MW3ztt8T9oYYj45wOD7OseQUJwaOMBoe2vU1fPXVV3nhhV0pjfdB3071\n0Ucffbzd2KudUoTY3YDmYUU6nZ4CZvv9Qfro485o2ybFZol8o0ShWSTfKFFsligaFUpGmVKzQtEo\nY1it2+5HQSHsCxH1hYn6Iu48TMQXlpS4Lj0uSMgTJOyTNDmv7n2bznR3aJoG+WaRQqNEvlEk3yxR\n6MybJcpGhUqrdsdMlq7qxHwRIr5QlxoY9ATQFM2lKFqYtoVhtST10ZLUx1qrvm3WTlVURsKDTMbG\nmIyNMhWf5EjyEKlAYk+OoyMcGu0mRaNMselO7vJaPc9SNctqbX3T+Q0Gk5wee4z3H36O46npO35f\nT3+Q6Uwmc3PXB/cthL6d6qOPPvq4f9iLnepnrProow9AUvLyzRLr9Ty5ep5Cc6uzUG3Vdvy8gkLU\nH2E4PEjCHyXujxEPRIl3lv2RrhMV9oZQ1QdblNSwWqzV86w3Cpscyc483yzSNI0dP+/TfcT9UY6H\nBoj5o0T9ke41iPujxPwRYr4IMX+UoCew70xZ22qzWl8nW1sjW11jpbrKQmWFxfIyy9VVXl081902\n5otwJHmY46kpHh08zvHk1G2dVVVRpVPrCzEZG9t2G9M2mSstcb1wk0u5a7y1epkvXz/Dl6+f4XBs\nnB889d08N3G6Txnso48++ujjoUffsXLRp1j08bDDsi3WGwXWGgXW6nnW6u7cfV1olnbMrPg0L6lg\ngqn4OMlAglQwTjKQIBmIEfbKLItf92E7Nm3bxHJsHOFIYQhhYzs2LbtNtrbGUjWL7djYjvyuW2mA\nm8QWkIN7VVHRVHeuqKiK1l2nKSq6qkvamzt5XfEIr+pB12TN0k7XI1fPk6uvu/M8azW5XG5Vd7yW\nYW+IoWCKpHsdUj3zVCBBMhgn6Ans52faM7y6181MbXZ8hBAUm2Xmy8vcLC1wozDHjcIc51YucG7l\nAiAzZceSh3lsOM3p0cc4mji8Z4fXo3k4lpriWGqK7zz+QWzH5kIuw1dmvs7Li2f5V1//NM+MPc6n\nnvsxgt7N16RPBdwb+naqjz766OPtRZ8KuEf0KRZ9PExotJtka2us1tdYrcksxmpNLucbxV3XMmmK\nKmuZPAFCngCqosoanB6RBNM2u/VADyNURWU6PsnhxATT8UnGo8OkgkmSgTi+B4ySuBeUjQqZ9Rmu\nrF3n8tp1ZkrzdOxAxBviydFTPD/5NE+OnMSree7qu5arq/y71/49F3IZjien+Gcf/hk8t+yzTwW8\nM/p2qo8++ujj/qFPBeyjj4cY9XaDpUqW64WbXFm/wbX8LPlG8UC/wxYO1VatS/3zqFKRzutKhMd8\nkW6GyKt5uoIQtwpDdNTtVEVDVzU0RXOzTJuFIjoksQ26mNJdJxDYjoMtZBbMEc6m16VmhYXKMvOl\nJepm88CugSMcbhTnuFGc616DqD/SrQuLubTGmKuYl3TV8jqiGg8qYv4o7554indPPAVIZ/yt3BXO\nrVzk/MpFXpr7Bi/NfYOAx8+7xp/kw9Pv5dHB4/ui8o1FhvlfPvD3+bVXP8Nfzb/GF699le975KMH\nfUp99NFHH3308UBgz45VOp3+MPBRIA4k3dUF4AbwQiaTOX9wh7fpe6eBHwTOAaeBT2cymfIO2/4y\n8HNAEXgN+Ml+JLSPBx2OcKi0apSaZdYaBa6sXefS2jVuFObuar9ezUPCH3NFEQKEPBsCCSFPoKuk\nF/D4N891P36PD7/uR1e1AzrL/aHebrBSzcmpliPrzleqORrbOFNezcNoeIiRyBCjkSGGQgMMhVIM\nhVIMBJPomo7likF0hCDqrqR7vS2Xu5Lv7YaUg29VqRhVlipZZu2F2x6vX/eRCMRIBRIMhJIMBpMM\nhlLdKRmId6+p40hnUcq39/TNctcJ4eAIgaZqeFUdj+ZBO8DfI+gN8NzEaZ6bOI0QgpniPC8vvM7L\n869z5uarnLn5KmORYT5y9H18+5H37dlpVFWVH3/mR3hl4SyvLp57Wxyrvp3qo48++ujjfmBXjlU6\nnY4BvwJMA/8VaQRmgJK7SRw4Anw0nU7/YyAP/Hwmk6kc4LH+cSaTedY9nteATwM/tMO21zOZzJ4K\nBfrc9T7uJRrtphRBaBbJN4oUmmVKzTJL1VUur13b936Hw4OcSE0zFZ8k1isO4aro+T2+beuLHkQ4\nwmG9XmCxssJiJctiZYXlyiortdy2ohm6qjMcHuDk4HFGIkOMRYYYCUtHKhGI3fG8dU0nrOmEfaE9\nH2vTNMjW1liuZlmqZFkor7DgikWAFL7oOIL3Aoqi4FU7NWWylizkDW76D8R6hDKGwgMMBVN3bD6s\nKApHk4c5mjzM337i+7m8dp0XZl7i1YWz/O75z/G5i3/Gdx7/EN994kNEfOFdH2/YGyLoCdBob3aC\nD7LGqm+n+uijjz76OGjs1U7d0bFKp9M/iDRUP79T5M1FV3rKNXA/nE6n85lM5vO7Ppqdj+E00ggC\nkMlkyul0+iO3+cieOSsf//jH+9z1PvYF0zZdNb0C+UbRVZErkm8WWa8XWL+DetxOUBSFU4MnODl0\nnEcGjnEsNYVf992DM3h7YTk22VqOpUqWxfKKnFdWWK6u0r6lb5KqqAyFUhxLTjEaHuxmoEYjwwwE\nEgemLOg4DtV2jZJRoWxUKRmV7lR219Xa9Z4mxcau69UOAodi4wyFUjjCwXRM2rYla9xsk7bj9sqq\nrDBTnN9xH4qiMBRMcSg+zlR8guOpaU4MHNlRZENRFE4OHefk0HGqpz/Gf73xNf5L5kU+d+nP+NK1\nr/Cxx76H7zj2gV1lM+dLS1TbdR4dPL5p/XPPPcf4+Di/+7u/u7cLcgv6dqqPPvroo497gb3aqds6\nVq6xOpvJZD63l4NwDdun0+l0LJ1O/8ABGK0jbEQdOyik0+mndqB0xNPp9A8AZSQd5JfuYGz76GNH\nOMKh0CyRq0n1uE6j1zV3XjL2H/BWFIVD0bFNNDGvptOyTFp2m7bdptaq81fzr/EXs1+n7TZtlb2N\nHFddz8YSNpZjbXrdWXY6DkCPH9DrFPS6ByoKqqu0J+uhNKnCp25+ramaW1vVqbPydl93lgE3O3dn\neXKP5mE8MsxEdJTx6AgTMTkfCQ/dFQ3RcRyKRrnr6OYbJddhKncdqLJRodyqcichH6/mIewNkQwm\nOOQqIYa9QcJuny3ZbysoVRI9QQIef7dBsU/3bWnUCzLztVpb69Ias1WpmrhYXqFpbVyr+fISy9VV\nJmOjTMcnmUpMMp2Y5HB8outsCyFoWS3KrSplo9ptwlxolsnV1lmtr7FUyfLNpTf45tIbgPz/HU9O\n8+6Jp/i2Q8+SCia2PfeIL8wPnPwuvvvEh/ny9TN8/tIX+X/P/TEv3HiJTz73P3AkeWjH6yaE4A/f\n+k8AvH/q4DMtfTvVRx999NHHg4LbOlZ7NVTbfL4M3HUkkA2O/G7xmx16RzqdLgAvAs8ewHH08ZDC\ncKldq67jlKutSyeqvs5avYB1j9TvhBDMlZeYKy/t6/MdJ0dTNfSO46NqeDUvui6X1Z7BvNIbJN+0\nqHSPxxauwyZs7I5kut121znuOunEHRTC3qCUBzfKmI7FeqPI9fxNwt4QEV+IsDfUFYqI+SMEdD9C\nCEqtinSaeqdO/61GkaJRvm1z3oDuJ+aPMBIeJOaPuv2losT9kZ7lqBTruAdKgAGPn6mEdJR6IYSg\n0CyxUF5hsbLMQnmF+dIS8+UlZosLMCu3U1CYiI1yPDnF8dQ0x1PTTERHGQ4Pbvt9QghKRoXZ4jyX\n1q5zMZfhan6Gq/kZ/uDN/8i7x5/ihx7/Hiaio9t+3q/7+L5HPsoHp5/nD9/6T7xw42v8kxd+hb/5\nxN/ge9Mf3Vbg4ovXvsJry29ycvA47xp/8u4u2Dbo26k++uijjz72gmqrxlIly3I1x2ptjbMrF5gr\nLRLzR/nH7/8k07fY5L1gX6qAboTwI/Tw0w8o4rcTCkh+fC92NGK9nPlMJnMunU4/nU6no7fj0rsy\nigB88pOf5FOf+tRdHG4fDyJsxyZXz7NSXWW5mmO5uspKdZWVao5C89ZA88HBr/sIegIEPH6CrlhE\nd1n3y8yG7sOreboZjk7mx6d78XWyQe6yR/Ogqzpaj6reXmA7Ni2rLYUb7BaG2eqKOLTc123bdCln\nJqZtyWXLJFvLcb0wR8tqHeg1KjbLFJv3Llg/HBpgLDrCWGSY0cjgRi2WP3bHuqODhBAC0za717tp\nGd1lw2rRNHtfGxhmi5ZtYgubofAAMX+Em6XF7v9VIFgoL7NQXuYvZr++4/dqiopga4+wXjjC4ZXF\ns7yyeBaQ6oF6j8Pu0TyuqIkUNPF7fIxHRliqZvn9N/6U33/jT/l77/5RkoG4VE30Rzi7/BafPfcn\nxHwR/v57/k73//prv/Zr/Pqv//rBXtxb0LdTffTRRx/fuuj0cpR127LsYKmSZaGysm3dNsh2JB1B\nrP3aqf2oAv4E8MdI2kMXmUzm8/fQaM2w1UCJ7egVLs/9050C4p5tb8vX6vcHeTgghKBsVLqO043C\nHBdWr7BaX79n33ly8Dinhk5wKD5OxBsm7A12HaeA7j+wOiCQ59cwm5SMCrVWnaIhHZJKq0bFpX+V\nXfW6sksFexDg031dRTuP5ukmy8qt6r7qz/aKVTf72GmM+zDBq3m21KbdCtvN2nk1D0cSh9BUDQUF\nRQEhwBY2lmNzLT/b/UzZqDAYSmE5NobdxjQqNC3jtpTJf/uN7Tno5VaVX/zSv8ErQnjsCDcND4/8\nyC/gtIJMx738+Wd+fh9nvjP6dqqPPvro41sHtVad+fIS82XZemWhvMx8ZXnX44uJ0CGOhR4jLiZ4\n/TWLM803eDl3jBPf888BSPoNXvmTf7qrfe0nVFt0qRP/Ypv39h4+3wXcaF73tStp+8Itrwvucc0A\nv9Hz3rcDf3IvjquP+4dOJOLN1cucX7nIuZWLm2pSDhKHY+M8NvwIR5OHOBQbZyw6sq+6H8dxaFhN\nGqZBo92gYTYpNMvdrNlKLUeutk61Xb8HZ3F/0bJatLi7LFfA42coNEAyEAOgbZtS/ry6elu638OO\nOzlVt257Zf0GT489zvMTT3N67DGit6j7lYwK//TFf0m2tsan3vUJolqKSr1NpdamXDMo1hvka3UW\nckUW8yXKjQZ4WviO76xgLkwPObFIN8F6CDoyLHP59h7PeFfo26k++uijj4cMbavNYiUrnajSEhdy\nGW6WFu9qn049wvULE9zQ11D0JdBNFL2NMmDi0U0U1aZQre56f/txrG5X4b195fPB4BPpdPofsNEf\n5BM97/0K8GXg37lKTLNuxFJBRiw/sWVvfTzwcByH9UaBq/kZXlt6c1/OU8gT4LHhRwh6AncUUUgF\nEkwlJphOTDIVn+RI4hCpYGIL3c4RDrVWnUq75jbRrct5u0alVWe9nme+vMxiZeWuzn+vCHmDsg7J\n50pu+yNEfSFZb6VqWI7NUiXLfHmZuV08iAaCSSZjY0zGRhmLDKOrerdBr9Pps+ROudq6bNJbXqF8\nF2Iet0PTNJgrLe7q2B9UxP1RRntl4f3SSXSEbHgse2oZNE2DpmXQMJty2ZTL1VaNcmv3D/idcHb5\nLc4uv7Vp3SH1SXRjEKPio2QdhpE1fuH3/wRr+dht9uSj4yI1X/92As+82H3HqcVoXTsNptv3SnFQ\nvAaKryEnfxPV10C07kk2uW+n+uijjz7eobBtm7lilgvLM5zLXiBTuowldh9E3AvUUBX/YztT6QE0\nZWu/zJ2g3EkJ61ak0+l/CNy4lUrhGoh4JpP5l3va4X1GOp2eAmZ/9Ed/tN8f5D7AtE3W6nmytTXm\ny8t8c+mNTXSk3WAgmOT06CmeGHmU0fAQuqazUs1xo3CTG4U5bhTmtlDiRiNDm9TVDsXGEQhKzTIl\no0KxMzfkvGJIpbWV2r3pSzQcHmQkPMhwaIDBUIqBUIKBYJKBYJK4P7rnhrCVVo2bxQVmiwvMlha4\nWVxgpZrbVF/jUXUmY2Mcjk9wKDbG4fg4h2LjRP2RLfvriB6sVFcIvEOrAAAgAElEQVSZKc5zMXeV\ny2vXt23O+05FyBsk4g0hhKDtmDTaTVr29tmUwVBKOp3RUYbDA8T9UYKeAOVW1ZXc75HdbxR3VI70\naV6Gw4OMRYcZiwwzHhlh3F3276ERrxAC03Iw2jbr5RqXlxe5vHqT+coCBTNLy1NAUfeX1TMXj+HU\nozj1OFg7CHgoDvrYdTzjM91VzW9+FMSd/7dmo8DsX/wywPRBNcjt26k++uijjwcLHTvVMm0q9TaL\nq1XmshVurK0wU71KWZuDcOFtPSan5cepxcH0IiwvwvKA5dm0jAKWMsuNP/ks7MJO7dmxgm7H+L+L\n7GIP8DTwW5lM5qf3vLP7jI7B6nPX7x0s23Kbqa6SreXI1tbJrN9goby8632kAgmeHnuM06OnODWU\nJuAOOuvtBjcKc8wU57nuOlL5RnHTZ1VFJe6PkvDHSAbjJAIxWlabklFmtbZOtrZ2oOd7O3g1T7dv\nkCMchBBSDl0IVEXdmNSeZUXpLms9c13z4NV0KkaNxcoK5i6UC8ciwzw6eJyTg8c5mjpM2BsioPvw\naB5M22S9UeRi7ipvrl7mrexl6u9Ax6n3OoEUeBDI6+04zm37T3lUnVTQdWpDSUbCg4S9QWxH9o8q\nNEosVFaYKy1uW7/m031MREeYjI4xERtlIjqCpmpuAKHASk0qEGWra2Rra7vqhRVVBwiIFN52AtEK\nUypZrJdbIBQ5OSrC0aAziTvV9AnQ26j+OkqgjpbMosXyd/iMhGMEcaoJnHIKu5ICy4caXcczdQnV\n38BpyftS9Rm0rj6NUxra9PljEzGee2yU506N8JdnF/ncV64TUGq88YX/DQ7QsYK+neqjjz6+tWE7\nNqZjyfYstoXpyKm7bMv3OiwUEDiuwJHomXeo9m3Lpt40abZMDNPCNME0HVptQdOwMFoORsuh1XIo\nVNqsFY0NOyUUFH8DLbaOGltD9d+/sYVo+7ALI1j5UUT9Vr0hODwa5tFHPYQGyry2eIHV9gJmucHl\nf/0y3CvHCrrNFTvND89mMpm9pRkeEGxnsP5L5kU+e17S3RUUJmNj3YFa74BX6x34qhqqouLXfbK3\njTdIyBPs9roJua/Dbv8br+bZl6LbgwzDarFcybLoKq8sVlZYKC/vyXFJp47w3ORpHh08zkR0FF+P\nxLXt2MyVlriWn+Vafpar+Zm31Sm6EzRVw6Pq6KqOqigoiir7QrnqfYqioKL0LKvd7YBN1DrHlTXv\npd1ZjvW2CD08SFBQiPjCJPxRYv4YMV+EuD9GPCAd5UQgRiIQJxmI4vdsNE92hCNpde1mV3mvZbUw\nrDYNs9lVh+z8T/dSp/SgQzhK18kSjgZ2Z64j7E40zrM1Mmd7UDwG3qNvoHj3XvdkZQ9jLh5H8dfx\nP/Yy1voY5swT3fcDPp3T6UGW1+rMZys4AoaTQX7iuyb5+N/8G3DAjhU83Haqjz76uL8QQiCEyzsW\nYkN5VWxwkVWFDZvvLvd+vpfyLdV6DQxXtbfVVettb1KP7W5ntmla8nMtu911mCx3ejub2L8TIWwN\n43VpHpRADTVSQI8V8MSL2MqGDVSMGM/Ej/HbP/cvYBd26m50hp9BdroHuH4X+3kg8NnPfrZLsTB6\npKQFgvl99hi6HXRV7zpcYdcB60wRb8gdLLpTME7EG3pgHLFaq+46Tyvd+VIly1pj9yncJ4Yf5cTA\nNFPxSQ7HxxkMpVAVFcdxKLeqFJtlXpr7Bl+6/pdve01Nwh/jUHyMiegYY5FhBkIJvJoXT1fVTser\nSnU7j6qjKjoqKo4Dli2wbUfOHQfLdrBtIeeOTIPbjoPj9D6Q5ffajoPRsmm2LRpGi9VmjpyxQsFc\npWyv0aKwpexet4PodhgcXWYqHA1HaWN5qjieB0MRcCcIAZg+RNu/aXJaAbneltmXpmqzplmgWyha\nHbQyim6iaBZoJopugWahaKa7jSlfPxi3y44QbR92NYlTi8nfrtcGKgIUgeJpoQarqKEKimd3zo5o\n++X/QbVRVBv0Nopmoyj31sgq/gZqpEjEHsd2fPgHqnzvI4+yVmryV28sU6m3+fqbm+sOP/qEjxe/\neFdtqO6Eh9ZO9dHHXiDtj0Wz3aZptmiaLRpt2V6jabYwzHbPoL0zSDdlH8NOw3m3EX3LMmnbMuPR\n7jSst21sRwYEhZDMgI3sh+MyBwQCB5D2bzPcbooKMsMB3W1kMkVB9GQ/bNsNIgkFUBBC3ZTFR6gI\ndy6DTJ1lOQmhucuatDWdYJStbdjTO0JIoYOOLdKsntfWHeyUu/4u7VTn2IV7XggNHI97PdRtrsUt\nr4XSY3+UjTnI6939IkXaJEWAZqEGaijBKqq/cXcncA8gbA09fxyfOUCpLIPTariIFsujRtdRVPnH\nUjSbyeeuUmWVltg4D7MVwKmM41RS2JUkP/zcCHMXXtr19++XCvhlZLHtWXfV08DrmUzmh/e8s/uM\nTiTwC1/6z0QHYtTaDWrtOsvVVb429w1uFObu9yHuCJ/uIxmIdR2wwVCSgB4g4PG5dDOFzgOsE7kQ\nm9K8uO/3LuM++MC0LVZqOZYrqyxVs/vqMzQVn2AqPslYdJi4P0rUF8F0TLeGqcxSZZWr6zMUjXvX\nwwgBWjuO1QhiNX2IVgDRDsiBfCsgH6L3FQ5KoI4aKqOGKqihMkqwumNNjHDUbtZB0U0U78H2lHq7\n0TUIrnGQBmjvBkfYmpt5cTMzto6wdDl3Mza9RlQ4OtibjWknw4OjsbN4nJAiDIEair+OGqij+GuS\nWndLpkcIBdHyS4OkOq7D5KBoG82Vha3h1OKSYldN4NQStzfqiiOja7f+X3ocpy5lzzUMmD5QHFft\nSCoebSyboJtokQJq+O7vQ6+ZpO0poKLyvbFP8taNPBdnNqiGXl0lHvGRK0oqyIcej/Cbv/TTcPBU\nwIfOTvUzVu8s2LZD23IwLQfTsqk1TCqNNqVqi2LVoFRtUa61qTbaVBotKo0m6+U6TbMtgyKqIwMk\nnhaKT4q9KD7DFYFpynu3j3c8NrEMep2/DrXb0TZe2xrC7rFrm5wi12ZpblBNtaUDpzry+a84G86R\nIql/G2bOtR+qLW2VaqP4610n5GGGXwnhMQbJL4VxKklEO4iuKaRiAVYL0uF6Ph3gs7/6KbgXGat0\nOv1LwK9kMpkXb1n/g+l0+pcymcwv7HWfDwJ+7s//T7yJwP0+jD2hZbWkTHf13ggqHARulhbvWgrz\nThCOIh0lI4hoBRGtAE7P8v13nHoh5GDcHRQroTJaZG/NiRXVAW/rrh2qThRQPmjvYh/dh7/qRuTs\nO36uF/Ih7gDWtq6MsDw49QhOI4pohl0621bnCQ6uX9gdjhjFDOBTwigthcZqT22bZm5E8gJVOQ9W\nt1wT4SibomZaLN+tcxK2tuEUlQcQzTAd6+fVVVLxEMnoIKmon2TMTzLqx++H5cYSC7V5ruVnaHvX\n0QeXYFBm251mSO6vNCgNh9gsUKIlV1CH5wGYdN5FuPYoV+bWaNp1lFAFz+TVXUcm2x6ZuXZw+MMX\nL3Xvv9MnBvnUD51m0H3Ovnl9jX/7J2/y5VcPPnj1sNqpPnYPIQRt29ygU5kWDbNN23QzLZZJo2VS\naTapGk3qLQOjbbn1IyZG26JlmtRaLWqGQcs03dvQzSb3ZCW62eGeAa1ct8tBacCdUsCkXOzjWweK\nKkC12MkGPswQtibHaSADCJ47Bws8VpSwmsS2BdVWHSdQ3PO4oxf1QhDRkvfqkcNBfub7P8ChYVl7\ndXm2wP/z+Tc4c+7mrve3nxHnzK3GCiCTyXyut4fHOxkB3U88EKXaqlNr1/HpPh4ZOEp64AhDoQEA\nym4D1lxtnaXKCsvV1W4TzoOC0nuLuYv7rYl72CCEglOLIeoxnHoUYfrcmhEvwvTuSo3s3kNIelS4\niJZYRUu8vfVgwtbktXAzGd0oldKTObnLaJSiAJoNbHUccGt3hOXdqrIDbhRNRmUV1c2meJuovuYm\np1HRTbRYAS1WQNiqdJiNEE4rKJ1pI4hjhGRW5oDNkq4pBHwejLaFaW3c346AZmubB7ntwaklCJgD\nhFoegi0PwaaOJ9CiKtYpWas01DxqqALq9tQ+RbPR4uto8XU8ZBCmF7s8QNw5RDp1gtF4jIF4AJ9H\nIzNf5L9+Y56F1Y4EexR4ChAowQpatIAazaNGiujD8+jD82joHApPMeKZxtce5s3KyxS0Gwhbo33t\nKa4WU0AOxddAH72JNriIojoI00PSeJzvPfkhUkmFF5e+zJvrb972+gWefQG7MIRdGubcjTY/8X+t\n89SJQb7r+SnefXKEX/nk+/jvf+GP9vXb3AEPvZ16J8ERDobZomE2qZuyh1+93aTebnSVV8tGhbJR\npWRUZAP0+93PT2Wjm0AUPPf3aPYN4aiItk8+gztBsE62w1EBZcMx7DqEbrasEyhTrW+JzEUf9w6e\ndpL6yhBONQGWp4elU0YNlzdT3QXE9AEmIxNE1WE87RSNop/XL+eot9oYwSr1UBk1XEIfWL9rq987\nNlvmAj/7lT/H50Q5mpjio48+wy/+3af5qf919yVB+3KsbvPe3kLvDyialkGzuiES0LJavJG9xBvZ\nS/fsOydjYxxNTHEoMslwYJSonqJas1krNlgrNcmXJW2gUm+xWmhSbdyu3sLlwIbKaKkVtGT2rrz5\n+wlh6XIwLhQUj9mlPiiKkJmeHbI9XVpYp4bH9CHaPoTpl3N3ncx0HMBgXDPRYutSYS25uuuPOUYQ\nFAfVtz9RCmFrCCPUedV1olAEim4eqPKOMD2uA+s6r6YPYXpvWSclS29PpdsFFNulvDQl5cXXRPE1\nUP0NmfEL1rjVdRa2ijDCaGaEkJIg6R1gJDzMZHyYwXiIZFRmd1KxAEG/fPQ1WxalWovseoPLNwtc\nms1zabaAZUsnyrLFHe61zRgbCDGUCIICrbZNy7Sp1k0KKy2arSCy3GcaECg+g+RQi1CqjuXLUxFr\n2GyN1imeNvrAMjWWec15FWcpgXNxELs4hGiFtmzvfooPnXyMH/7oCcYGwliOzdX1Gc6uXOC1xTeZ\nrV1ntlNy5F7I9rXTOJUBlGAZ/8QcxJZBAY8dQskdpTw/xLKj85uXL3bOFsUXRx+/jj6ws8Knlsyh\nJXMIR8EpD3J+ZYKzn1llcjjKs9MqlnVnNct94KG0U701Vm3Tpm05aKrSnVRVuae1uM12k7V6mVy1\nyHqtRNmosV4tk62tk2/mqVgl2sqDXdv5rQZFdVD8TeBgVdi6AjgdGrdLQ+tQz/aVuetjT3CM4EZ9\nsumFLpXeQlEtFG/rtmUFbydMbwHv4dvX4T82lOZD0+/l2fEnsEyVyzfXeW3mBpdzM6way4hTSwTu\nMJZ16lHJ+OgE3Y0Qt45FkjEfI6MOeqxMyc6yJmZA27BDiiJoa2UuV97g8qtvoKBgju/eXdpXg+B0\nOh3NZDKbGrOk0+kotzRlTKfT/+Cd1i/kfmGhvLyj/LhdSeCUB7DLg4hGhG0HrHqrW2+hhioowcq+\nB+tvB5xmCKeaxGmGEEbIpfEFuDOdy5GFn3pbRjj0tlzWzZ7XPcvBym3rRlSh41dDBNQwAS1EUIug\n2n6clh+z4aNR1VnN2TQNa6O5qb+BGimgpbJ7EgTo1ERt+v5d0quGw4MMBBMIAW3LotiskDfWpShB\naH8NeYWgm+ETPU6SdI58m9ZjeXdZzHtAEJr7v9jOcejIhUsnS/E3XKerjhKoIUIVaixRA+Zt+GZe\nJV5NMBQcZtA/REQdgGaEckEnm2+wsl6jUNlKq1QUGIgHGE2FGB0IEQ/78Pt0PLqKbTtcmi3w+pVc\n1wkDWF6vs7x++0j7xFCY9zw2yrtODjM1GiXol7Fw27GZyS/ywsU3OL+UIW8vb7mHFVWgRQto0QKe\nQxmcegS7OIxdGEEY4U3b/sVrC3z17CKO0/sfVVFCU3iPlbbs2/fIa5teT8Un+L5HvoPnJ5+m2XJ4\n5a0V/tPXbjC7vPF/E60g5swTWKuH8Ry6vInW6tO8JANxVmo5jgee5GZlDjORQ0vkcIwgy4vH+NNX\nRhH3hvzyUNqpj3/840QTQ/zY//5l1ksHMVAWcuDrNTamQA01WEENVfdew/OtxmP6Fka3PvM+Qli6\nHEg3ooh6FMcIb9DbNWtjfOBx60o9bSkI5K+/42uTwR0/vM3iEQPBJMOhQTQ7RD6nMTNruoHvNmqg\nihrLowb2l22+kMtwIZfZ+kZITrc+XnRV5wNT7+F4aoqjycMkvQO8fmWdL3ztBlfzt4mfCUj4Bnl2\n6jHefWqEaMjL+flZvnTxVS7k3+rS2QEcIwCWFyWY3fV57KdB8H9AdpS/NSL4LNBrmRXg2zOZzIPA\nydoRnaLgR//n5/dUYyVMz0aNR7fY3YVqb1vI3sdmdGujWp3JrY9yl3dsRgr4vBohv47fqxPozH1y\n8nvlb9FsWTRaJrVWnbpdo9quULerksfrNdx5C8XTAk/rvqvICUd1aYyKPK67iDKpdgCvCKE5ATnZ\nfrD8tOseahUVo6G71/edMxKaHosyPRZjMBEg4NXRdRVdk85eqdoiX25yM1vi+mpWikkEpKOluiIT\nir45MyJsDdEM4zQiiGaE4wOHeXbqOFPDSUYHQgwng7RNm4XVGgu5KgurVRZzNRZWq+SKjS2qVn6v\nRijgwefR8Hm17lxRFPJlg9V8nba1t99U8TZQowXUSFHOfTsPpkfDwxz2p6ksDfL6G1sNm+KvyexS\nShoIuzjI49HnELElLtfObdn+qYGniRonuHlD4dp8kY5/1pFNf/fJEZ46Mchascml2QKXbq5zsXQe\ne+yN7j4SxkmK/kv86ON/k+85+X5evZHhD85+iWUrg6IK7EqS+puTzH75X8PBNgh+KO3UR3/0l5kr\nqKiJLJ6JaxsqaJob+OlnBvp4B8NrxfG1RrBrMRolL816hzp+Ozsl3Fo3N9jqaaPoLRRPT/DV094c\njD1gsycsXdLTjSBRT5zhyACj4QHi/jgeTcekSdOpkW+UKDZLFJolKu3qRjDjAWQUCUdFNCI4jQhO\nM9JdxvYgGRdNGbgOVWQgJljZMuaN+sJMJyaZik8yHh2RwWFb49WZq3xj4S2Kyvy+1Wp/5PHv4/Gh\nRzEqAS5cL3H+ao7MXBHbNVR+r8aTxwd596kRTp8Yolg1uDRb4PLNPJdnCxSr0rFWFTh1ZID3PDbC\nc4+NMpwMcn5+ht/75heZb19CUR2cWoz65WFmvvAbcC/6WKXT6deAnwfupK2tAL+cyWS+Y09fsPP3\nTgM/CJxDGsxPZzKZbVMRe9x2Cpg9+t99HK31qBuVd1BCbn1CbB0turdO0J1iPHmjheTgzQhJ2plm\nuoN5Q859DSmnvE8P/6DhtPwII7iRnVBtyX/d4yBftH04jShOM4xohlw6n7qR9fG5tTS+5o4y0sLy\ndOtnRNO9lkZIOl3O3sZBqiLrYlAt+Z3+ulRY8rsZqHdQBEs4Ck4tIYUc2j43q9RDb7yjIbr/UFWF\naMjr9vGS2bNC5V5mWAV0pMu7ohI1FH9t02BUCOT9Wo91J9GIbMrWxcM+JocjTAyHmRyKMDkcZnI4\nQjLq35aGtV5qcubcIl95fZGbK3vLLmqqwrc9McbUWJSp0SjhmMVCc8Zt4HyFprX9NXNqMaz8KCPq\nMQ5P+sl532CpfQ2AoDOAqA5Qs4uoiRyKIhC2hr0+hl0ZQA1U0QaWujRSpxZjyD7Ftx16hqfTI5w4\nFEfTts9enlu5yC+d+fUt682bJ3ki+Szve2KMhVyN//jymzLDlVjDWHXI/JuvwsE6Vg+lnZr+8D/C\nE44SePaFgzjcPu4jtgQWTR+Ko+N0lExtfUPl1O0zJ51o03UUzB4noicjo7e7KoIP4oB9P5DXyt8V\nShKOKimOnpZ0lHYRUBCWx2VheDeYGj2Mjd51HRuqKhAN+1Bcar2jNamYlc0ZXq9LWd8hsNE59k7g\nuBNEdlpSmVjRTemYdOphHzCmkXCUbgkFjipZMtsEKr0izIB3mKn4BI+PH+OpiaPEAlGuri7w2uw1\nruRmmWtexVR3N9bVhHdTL6k7wS4Ok9QHOT50iOeOnuA9J47i82xPyhNCsJir8Y2LWV65sMKVuWL3\nvSeODfD+0xPkig3++Mwb6JMZ9FSWVs7iyq+fgXvUx+oTmUxma3hzG6TT6Z/fx/53wh9nMpln3f2+\nBnwa+KED2BYA7+RV9OAa9toE1toEoh7Hqsdh5QggZOQ7XJKR43Bxx9oVIRSwdek43FIHIgSS8taM\nSIejEcHOj0q6k1DBY6CGy2jxnFT0ug9QfQbs4sa2S4NYuQmc8qCs5/LXXApJzc0W1NDia2jxrYIN\nwvJg50cxc5MMBUY4Op5geETB0mqUWkXK7RIVs0iFIg23sPFWSAcw1I0Sia7TFZDRq049Tq/z5Gu8\nI5wnxwiiNlKExRAJf4KYNwqWj3JZsFZsdiMtB4lUzC+zQfEAqZgfTVNptqxujd9asUm+3MSyDyYi\n7jiCVttmOBlkKBFkOBVkOBkkEpRZynKtxfWFEuevrVGp333md3wwwujACJqq4AiB7QgKeYOb2ZJb\ns1WVsuVu9E0P1rqKesJR5D1bj6K3EozFD3N4IMTh4Zh0sIbCxMI+jJbFqxeznDm3xDcu7Z428IHT\nEzz/xCgjySCrhQZLazU55WrMZaucOb/EmfO3Pg9GgCHUcFkGf+I51FC1+64aLuMNlylwRXoWbdmf\nbTCUomxUWFWvoAF+O0FlfhQ7P9ZV73OKw1jLR1Fj61LsIrbGuvJ1zhiXSVl/naO8F20bym7bNvnM\n2T9CURS+L/1R/r8rX+6+F4y3OHslx9krHQXTID/73p/iTy98nmve17bs6wDwUNopdWAR39F72Jri\nNhACd3Ar6zh221etj+2hqFLc6O2mcr0TIa/VnamvajuCVYlhVaPSkek6SvujsjsCjJbFUDLIcDLB\nsGuroiHJ9qg22lxfLPHG1TWK1WY3WN6pCVZ8TVR/HTVcgQOsdz4I+J0E9aoiG8P7GpvsRy8UVWan\n2IEtoQgNcseoFqNUNZO54CIv3TwnBZpuxTY/wVhkhOcnn+ZI8hBT8QkGgslugLJl2ly8keeLL8/y\nyoUsqJYUAhtc2pLw0BKrlFnlteYFXrvwZ/z2FR9Hk4c5kTrCiYEjHE9NE/VJuryiKEwOR5gcjvCD\nHz5OoWLwjYtZvvDSDG9eX+fN6+vuXgP8/ef+Di9c/yIXPF/f3YVlf47VjZ3eSKfTH85kMn/Reb1b\nw3YnpNPp00C3EUomkymn0+mP3O22vbDyo3iiVTwT19HHr+OUBrGLwzJi3QwjmhHsZgR7bVJ+wGOg\nhktorqOlhGQfGUUR4G3hNIM4rVA34iR7z9RRAzXUwCoauxc4eFBgrR7Czo/KdHCvhLnlxakloZbE\nhm5Nig8bUy9jaEXK1hrr2lVAcrM7CmVl3CYzeXBcR9MuDCNag8hgstPNMHUzS4G6dHJ9BsTyW47z\nnQaZag9tOIructPRkW5pw512h8FEgFjISzcVBDgOFKvGjk5ZvmyQL9/ZoT4yFuPkkSTjg2EG4wEG\nE0EGEwHCAc+ORfMNw2S10GC10CDnzpfX61ycyXNzpbKvLE4qHkBXFTRN7TpLy2v1TfVOveg4K1uh\nbtzb+TGeeWSId00NMzhsc7M0z9X1myzWFimqa66hWGSWt5hpqohLEZxvxHBqCexqAkz/bY/71JEU\nH3x6gvc+MeYa5q2YGouxvFZjdrncrek6f3UnNUkVpyb7XllLxxkegeh4nkXtm9tuXTTK3X5x9vo4\n5uokzXoMRVGYHo1y6kiK9KEEPq9ONl/n8s0Cl29OUJ4roo/MUhhc4nfO/iG/9/oXeH7gA/zQMx9m\nKLFRA/eZs/+BbG2N/+bEtxPyBjd9txm/gTbsxV493F33ua9c46e+/2/zM//hnvTtfSjtlHf8Bmrg\n/ohxKwoodwi6dTMLKPK5fY+bUh80vCKMx4whWiHMho9mXce2cOt2uKXZq2z+quhuQ3LNAk/7tnTd\nBx6WF7sug0iiFdwk+LSZOi667Bs1WJWUsGBV0sF2IZd9r+B4q6gDVbwDm9cn/UlOjzzGk2NpxqMj\nDAaT+D2bn9cNw2St2OzaqtVCg2xe2qn5bJX57PaOByDHd/4mik+OU7REbs9MpztBmB6s9XFEM8zE\ncJDkkIXlqbBaX6Vq3ubYdoChFtFiB3Bcig3DGXzDd97WLgwTcoY5HJvg8fFpTh0e5eh4DL9PRwgZ\nOH7p2jJX54tk5opcWyhtsumHhxKcOnKM9OEkAZ/GSqHGa/MXmW1ksOOb23YYVouLuatczF3trhsN\nD3F8YJonh0/y5MijRP0RhBDky01ml8tk81vHWZ//6nU++bGP8bP/fpvarx2wH8fqV4Cfvs1779rH\nPu+EI2xVciqk0+mnMpnM+bvYtgtr8QRGKYqWWkEfXERLrHUlGIWtyQLJuivvXYsh2gGc4ghOcUTu\nQJUqfDKj5Wa2Am9fJKqjDuPRVMIBLwG/ypq5jHOAEvAdZ+hWiLYPu5LCKadwqklW8oKVfG+6N+JO\n0zK6nlpBS65sSZurbs8fz+RVboXTDCKM8AaV8AFQudkOou3Ddpu8OtUEohlypd+FpAv0ZNE2qIh1\n9ODWB6No+7bSIDtZudtQ/daKMsN0LzCzXGZmuUwi4pNRPNexGk4GGXKzT0PJID6PhtGyWMnXyebr\nUiQiXye7LpdzxUaXC71X2I4gV7g399brV3K8fqW3L9yAnDY15d0QiNHDZUDeE44R6Db4daoJhBEi\n4NMZH4pwaDjC1GiU4WQQ25H/3WbLYi5bYXapzMyynM+uVGibm+k7Q8kgR8aiHBmLMTUW4/hknHDQ\nw8JqlZvLFWaXy1zJ3WTRvkiZpV2RQEMRm6cmRnnfscc5eWSAcGCrmPT3IykTq4UGV24WeP36AmcL\nL9OOz3Am/2d89T+eIVF5luemTqEPLvDiwktMxyd5/9gH+VrlZ9kAACAASURBVPmv/mJ3P+2bJ/FN\nzOA9fJkf//6nOD3wLJ/9z5c4c36Jn/m/zyBSt3dI94mH0k496NhtZuFWRH1hRsKDBPQQlimotBpU\nWhUaVh1TGHdkNnfrnIUiG44LxW2cqm5dt0nYwNxEaWorNdreGniBiBwgPUhdEO859Pamnnp3g15x\nJITiNjt2UBRno/Hx22THC0aBF2+e4cWbZ3bcZiw4ybj+CHpjiGJBZXVd2qkuS8MtI1BDZbTk6rZs\nnLuBaPtwWgFwNPm/DFQ3jZEUj4ln9CYAOSB3C6POLrrJgGbEHXeo7lhDyppriRxq8P4qdmrJVYx2\nlQtrNd68uYx4MeSWnmwt7VBVhSPjMR47kuLUkRQnp1PbBiR/gBMAZPM1/uLKef5q8WXWxCwoAqcZ\nwsodIhqFYLJGoZHjzM1XOXPzVRQU4voQxnqC0nIMpxZnMBHkBz54jI+8+xANw+L3/uwyL3xznp/9\n9RfRjuz+ntjPM+Mn0+n0L2cyma57mE6nPwz8FlJH+F4geY+23QxHx16bxF6blHS2SNHV2JeOkhbd\n4GEK04NTj+PUYlKRxvRJqWvVRgnU33Zuc0cdxgEqQOVtZGko3paUW95BctmpxbDLKZyKO5UHMWee\nkA8qV2FPH1y87U2vBhrwNjqqO8GpyRvQqce6TYh3V9OkINpBRDu4zXsCxWswNOoQjrdR/HUsvUJd\nL1HzFuCWyJciVJxmCLsZ2qCVNsMIYzeqihKhgIdT0ylOTieZHo8xlJDZJ59n4wFn2w75ikGu0CBX\nbJIrbmSccsUGmTkZVdor4hEfJw4lGEkFGU2FGE6FGE2FGBkIEg/7UBQFIQTlWptsoU5mrsjZTC+N\nbPd46vggzzw6zKNTCUIBD+Vam+W1GsvrdZbWasytVO6o4gdIXn8jit2IbmStFRs1VOHJpzTUSJGb\nlZs0/MswKO8DXfjRmiluroe5cTmJeD1yRzpKR6DjyHiMI2MxpseihIPbZ7cGBlTOFy/xhvoKa3F5\nbW79FzpGEKc0iBAqWiQvKSmA4cvyivGnvHLhT/lU6Md476Fn0NStxk1RFEZSIUZSIT74zCRCPM+F\n+UX+4I0vcEO8RTn4Vf68/jUUw0ZYHi7/5TQ/l/s/UNxDPmJ/gB/6bz/M4IjDP/vKr/I7Z/+Qf/i+\nGB/7yIkuvVEN7/0/tAs8vHbqIUSlVaPS2vz8F5bu1o8mEKaPoB4i4g0T98cYCMcYjSYYT6Q4PDjA\nWCqG17P5/9swTPJlg1yxwfWFElfm17m2vEqlXXMdqjZ4TBSPsaEwGqi/47JsDxqCWoggCcx6iGIB\nrJa+oS7bbcdx69DTrYH1NTfqlnxNdH8Lf9jE0Ru0xfbZUlVRiftieFVZg+XYKqYpaFpN2qKB49nd\nuGG5scAyC/JFlG7vsoPsX2ZXEt2a+25mV7EZHoNowsRKVMi38hg71M7eDr3JgB23UTRGwoOE9SiW\nqdBuK1SNBlW7iO3Ze9bLq/h51/BzPDVxnPTQJEOhAcqtKudXLvLK4jnOrVzY5kMNPGNbu2HYpQE5\nlm6GcRphDifGePLYAKeOpHh0OrVt8K8XI6kwf+vb3sff4n1kqzl+57XPcT73Jv5D1zBuvIvitcPA\nSZRAFS22jhpfpxDOocRX8cUh6onzkWPP8+yRCH6vjldXeepplb9cu4iWWsbcA7FmP47VPwI+lk6n\nfyuTyVTS6fRvAM8AH9vHvnaLAhC/Zd1Ohmkv2+4IYYSxjfDGIEq1ZM1BagUtuYriMXesIdp2f27W\nSw2X9qTcJFoBGVm7S0dNCEWqulQTbkYlLqlLioMv2iCcqiGCJUxvHkvf+w12O6hht05q/HatZR5M\nOI2wlLmvuw6MEdo2unJ3kEXMq3OwOhcCEhtvqTaKry4V7vxy6tAhZZYr27MXjYiaIKIliWoponqK\niJrCbvjJl6Vq3nrJoFRrUW+afONSdkstUCzs7VL8IkHvpobUQoDRtmiZ9pasyl7gOALHETRbFjez\nFeZWq6iKgqooNFsWq4U6q4UGRnvrd2iqHOiPDYYYGwjj92ndRtpG22LFlTvP5uuYlsP5a2ucv3aP\nGjMLDaeW4NxLIC3xIZnVcunBTqSIGlzCc0gaZ2Fr0ikvp7ArKUQjyq2ukO0ILNuhbcoeWJ1oqRCC\nXLHJxbkVXlk4x/XaZWra9oEMzfEz6Uvz3oln+bbjJ6nU21xdKHFtvsiV5SWyzlX0iWvd7X/t1c/w\na69+hm8b+nZ+5PRfZzge2fGUFUXh8cOT/LOxn+TLb77B713/dPfZZK+P4X9yIyJ8zPkQP/7+7+Do\nhHwc/5P3f5JffPFX+Vcv/Q718+8BZJDBXDoGfHUPF35X+JawUw8jpPBRpCvo0JmadoBAMEbTG2ZF\nhaynyjm9ANoFhNbGUVs0rAZ1s0HLaWCrLUnT60huhx04AfckP3qPISzd7VcU2OhZBFKkwi9LDO4F\nBc9p+RHNSFckSTYUdqE62yrxNajToA5+UMdk8u9WaOj4lCA+NYBPDeJTg2B6MQ0PzXqAWiVINadi\nWl6apgdQ3bYA0vEKREyCERNP0MDWG9SMCm1uCdD0jG6FI9UzFe3tyZAJy4PXGCKljzMYlk6/IerU\nvSWqVpGKNY+pbjh8RaDYAtFUXGbKUJel4jTDYPpcmmlP3bivsSnYvxvYwmapmqV33IDKbuOxW9AW\nBl/PnuFG9TJHcrJGKqkPozSGmW59BNF8FzNLZVaLNbeWuSKzfYmtQVItvo4WX+++zgL/OR/kCwsR\nxJfCpHxDPDoyzbPT05w6miIV25kSPRIZ4h9/6Kf56swr/MZrv4/n2Hmar78XbA+iGcVqRiF7BFSL\nx54URMeKXCpe5POXv8jnL39x0770IXkf2LVbH9c7Y8+OVSaT+ecA6XT6E+l0+ueA38xkMj+11/3s\nETNsNTpiB8rEXrbdCtXaoGq5g1k1UrhrpRZFs/d8EwCyaLAHjhGUKnutYFdQYzdOl9YOI9ox7I6y\nDgAChEqrHKZVDiML4pE9gjqZuk5X7J5+FVIlxodX86DpAkVzMOz7n03aDUTbh10e6FLqHFepB8WR\nxqkjz+3O1WBtUyZtQ4Ak3M0UdRyuRDjIscl4t/6oc+OXatKpKVQMVtbrXJrdA/fa0RDNKHYzeuuZ\nSCMTkLLioYSBJ1ynLkpUzHWWemysR9UZGxtm6tFR/lpsjJHQJEESlAs6V2aLXJzNd3sTlWttyrU2\n1xd3XyA/EA/0pOuTjA2G0TUVo21xaabAuas5zl9d69ZSVertXQtShAIenjoxyOkTgzx+dIDhZHBb\nRbqGYXJxJo/tCBZzVcw9ypr34vvef4RT0ykmhyPEwj6y+Trz2SqLuSqzyxXOZnbKnCkb9Vq5Q3KN\nt7kheBMpdmk2HiDsDXEoPE1cjGOXU2RXBHPZCvPZKmfO9YhV6C0ZxElmNwzPLb69R/HyxNBjfMeJ\n9/LEyCObsk+DiSBHJ+J81/NTwGnqTZPLN9f5y2tvcK7ytW7Pjr/Kvchf/fmL+EvHeTbxfp5Jj/HE\n8QEiQS8Nw+TKXFE2UJ4pkJkrYCdu4u3J/egjGxx3dfY9vLXm43967S95dCrJsck4xYpBc+UR9Km3\nCKYv8TPv/h9518kRvvPv/fb+fqjb4GG1U1ZxCN2roAQr9709xF4gLB2nGQFb69Yrobp1SZoUwujY\nMcXbQttBZKjsTjuiZxS/3/CXgoKu6rJmVCg4wkEg5LNfCHe504gdQNzz30LRLRS9BnugcknRnTCO\n4SrzGiGEUAj6NYZTQZIxLx6/jepp0bDrVFpVau0aTbtOmyYo4rZiVt32IG42ymmGehT16DYMBtlw\nFU+bYNgmEHLQvG1sxaBq5ymaPfXmXndKbHaAPUhnstXUEaaXtqPSbgEtABWUOIrPu6mP3qbrpwpu\naV93T6HoJmZ4iSxLZC3g1h7orglz6hGcahK7kpQ1bIqzIXzhb6BFC9KJehv6hQlbxV6bxKnFeXxi\nig89/gjPpsfw6Cpz2UqXdn4jm2O+vEJbK8mxUrDKilUgW8/x9fkNISJJbYyiRxMcHRnh2MARTo1P\ncGQ8zsRwBEURZKs5rhfmuFGY49zKBbK1zUHQjT5dq5S5wSvWy7x8Wcd5PULASXI4PsHTh47xwVOP\nkoqGMFoWmfkil2byXJotcGWugDV0CM/YLIFUkaeGn+SZR4YJ+nUuzuR56c1FLl3LoWarBIfDsM1z\n5wPD38FP/rXv5Xs++XvAF7e8vx32LLfei3Q6/QngjzpNGO9lo8V0Ov3NTCbzLnd5GimR+8M9rwsd\nqdrbbbvNfqeA2RM/8V34R8Seek/ZxSEcIygjIaqDlszeN9U5p+WX0fBa3E0xs9lR8Ne3ZMqksQtv\ncRJwaY3BiE0oYuPoTdq+HGZ48b43BDxI2KWBrjjJRjZK5chYjFTcT9Cv///t3XmMnPd54PnvW2/d\nVV1VfbGbbJJiN0m9ui3JlGg7x2ZM2sFkkhnA8siZ7MJcIJaSASQgM4idNTAL7C6ysb2TbDArY8ey\ntNilg5kkiu0g1ySWRDmO4yTUSVnW8Yo3+77qvus99o/3rerqi13VR1U3+XyAQp1d9eurnnre3/N7\nfpStIgU7Sbq2QMFOUfGksQKrN85c1fFxxXOuRVHg+KEExw4mOLI/Rn8iRH8sSF8sSLlqcnE8xYc3\n0nx4I8XF8VSLHfmaE648SjjvdmxcXZ5qWx53/VYUu7j0N+AzowT89WMuTjv0+gcHRVEwTYtccfN/\nB83NJ2wbTNv5oGJbNpYN+VJtSzNi6/GqCh+9a4j7jg4w3L+0R9XEnLM/1eR8fksJWWuDqKDGFp1N\nFFe21q2GITdANdWLXQ06CVlibt0PC6oVYCRwlIeGH+Cf3fkQ+/t71m0gcjOz2SRnX/8zXp9/ddnt\nxswd1G5orDycqXgserWrlHouspZHRj7Cb3zsCf7ih1f5f//y3RX32hz/mUtMVC7z04cfAUXh3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iS8nr1MzudUq0TRUztY/ShwNc+Zv/BLfQjNWf6Lp+AkDTtNeB54DH13nsJV3X2+44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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x104aaf490>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"ts= numpy.linspace(0,1.,1001)*u.Gyr\n",
"def plot_orbit_comparison(o):\n",
" o.integrate(ts,potential.MWPotential2014)\n",
" o.plot(yrange=[-2.,2.],gcf=True)\n",
" o.integrate(ts,pot)\n",
" o.plot(overplot=True,gcf=True)\n",
" return None\n",
"bovy_plot.bovy_print(axes_labelsize=18.,xtick_labelsize=14.,ytick_labelsize=14.)\n",
"figsize(12,6)\n",
"subplot(2,2,1)\n",
"o= Orbit([1.,0.1,0.03,0.,0.1,0.],ro=8.)\n",
"plot_orbit_comparison(o)\n",
"subplot(2,2,2)\n",
"o= Orbit([1.,0.1,-0.03,0.,0.1,0.],ro=8.)\n",
"plot_orbit_comparison(o)\n",
"subplot(2,2,3)\n",
"o= Orbit([1.,0.05,0.07,0.,0.1,0.],ro=8.)\n",
"plot_orbit_comparison(o)\n",
"subplot(2,2,4)\n",
"o= Orbit([1.,0.05,-0.07,0.,0.1,0.],ro=8.)\n",
"plot_orbit_comparison(o)\n",
"tight_layout()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Except for one, these don't seem terribly different."
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 2",
"language": "python",
"name": "python2"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 2
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython2",
"version": "2.7.10"
}
},
"nbformat": 4,
"nbformat_minor": 0
}
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